kaigexiu123/math_dataset · Datasets at Hugging Face

text stringlengths 1 160
Let 2a5 + 15648a*4 - 5632498a*3 + 172753368a*2 + 189729080a - 356865600 = 0. Calculate a.
-8170, -2, 1, 35, 312
Factor d*3/5 - 125473d*2/5 + 3073711536d/5 - 4249998289728.
(d - 95665)(d - 14904)*2/5
Let 25u2 + 19371442848u - 1549715428 = 0. Calculate u.
-774857714, 2/25
Let -5s2 - 1118419395s + 74934121910 = 0. Calculate s.
-223683946, 67
Suppose -2b5 - 88544b*4 - 1090470266b*3 - 2371643414628b*2 + 4746558594240b - 2373824620800 = 0. What is b?
-20760, -2754, 1
Let -950w5 - 1624638w*4 - 283580134w*3 - 322886906w*2 - 42116652w - 1186192 = 0. Calculate w.
-1513, -196, -1, -2/19, -1/25
Find v, given that 2v2/3 + 68353452700v/3 + 584024312001392161250/3 = 0.
-17088363175
Factor 3p2/7 + 1033682952p/7 + 2067365892/7.
3(p + 2)(p + 344560982)/7
Factor 4d2 - 25825956d + 129129680.
4(d - 6456484)(d - 5)
Factor -11v2 - 1732379982v - 472467267.
-(v + 157489089)(11v + 3)
Suppose -4q5/3 + 10222q*4 - 21112772q*3/3 + 5061772520q*2/3 - 136746073800q + 203856304750/3 = 0. Calculate q.
1/2, 245, 6931
Let 42050p5 - 46794690p*4 - 32872344192p*3 - 4647373118144p*2 - 768545057280p - 31792550400 = 0. What is p?
-260, -12/145, 1633
Suppose -3k3/7 - 2521608k*2/7 - 103380759k/7 + 15128910 = 0. What is k?
-840495, -42, 1
Let 15639t4/8 + 59387841t*3/2 + 897752428587t*2/8 - 16461390660177t/4 + 61551150678 = 0. What is t?
-7613, 6/401, 472/13
What is f in 4f3 + 5732104250f*2 - 2866052126f = 0?
-1433026063, 0, 1/2
Find n such that n*4/4 - 20549649n*3/4 + 140746453373757n*2/4 - 321180186302364446027n/4 - 380993936940062488892145/2 = 0.
-2370, 6850673
Factor i*3/4 - 15700568395i*2/2 + 246507847926072876025i/4.
i(i - 15700568395)*2/4
Factor 4n2 - 244408n - 41710552572.
4(n - 137139)(n + 76037)
Factor 2d2/7 + 1222202d/7 - 4371175452.
2(d - 24086)(d + 635187)/7
Determine w, given that -389218w2/5 - 118321748w/5 + 159296/5 = 0.
-304, 262/194609
Factor -9g2/5 + 5279911g/5 - 33554950.
-(g - 586625)(9g - 286)/5
Factor -4b2 - 4922838b + 438164266.
-2(b - 89)(2*b + 2461597)
Factor -2c2 - 6402885034c.
-2c(c + 3201442517)
Suppose 3x4/2 + 6664359x*3 + 1646028222x*2 + 102458845881x + 201638964033/2 = 0. Calculate x.
-4442659, -123, -1
Suppose -3k5/2 - 50175k*4/2 - 117094848k*3 - 103004322462k*2 - 33112571888400k - 3627415364220000 = 0. Calculate k.
-7850, -393, -316
Suppose 5s2 - 125620s - 22987009600 = 0. Calculate s.
-56396, 81520
Suppose 3u2 - 1945433106u - 17508898197 = 0. Calculate u.
-9, 648477711
Find j such that 5j2 - 703311055j + 22505948640 = 0.
32, 140662179
Let 2g3 + 7952863608g*2 + 63622908768g + 127245817472 = 0. What is g?
-3976431796, -4
Factor -4r2/3 - 71193016844r/3 + 23731005616.
-4(r - 1)(r + 17798254212)/3
Factor -4c2/7 - 69485950676c/7 + 69485950680/7.
-4(c - 1)(c + 17371487670)/7
Let f*2/5 - 773535889f/5 + 2320607658/5 = 0. Calculate f.
3, 773535886
Suppose -j*4 + 3469j*3 - 608228j*2 + 22640540j = 0. What is j?
0, 53, 130, 3286
Suppose n*2/3 + 13413331n - 5834820010/3 = 0. Calculate n.
-40240138, 145
Let 5i4/6 - 99199i*3/3 + 3724825i*2/2 + 769352047i/3 + 306840512/3 = 0. Calculate i.
-64, -2/5, 121, 39623
Let -3o3/7 + 19698429o*2/7 - 256078800o/7 - 1772855100/7 = 0. What is o?
-5, 18, 6566130
Factor -3c3 - 74120841339c**2.
-3c2(c + 24706947113)
Solve -2j3 - 182253982j*2/9 + 17638304344j/9 + 1309541128/3 = 0.
-10125318, -2/9, 97
Find y such that -21y3 + 21488594259y*2 - 6139598358y = 0.
0, 2/7, 1023266393
Solve -28k4 - 301400k*3 + 109062387156k*2 + 3052880407494800k + 872242641939472 = 0 for k.
-39799, -2/7, 68834
Factor 2j2/13 - 25198841810j/13 + 50397683612/13.
2(j - 12599420903)(j - 2)/13
Find k such that k*5 - 9320001k*4 + 21715562719806k*3 + 195442021681634k*2 - 2801319520484415k + 2584161945402975 = 0.
-17, 1, 7, 4660005
Factor 2t2/3 - 11043387566t/3 + 22086775124/3.
2(t - 5521693781)(t - 2)/3
Factor 2h2 - 31737538h - 22122035604.
2(h - 15869466)(h + 697)
Let 3f5 + 43800f*4 + 7466403f*3 + 311055642f*2 + 867151656f = 0. What is f?
-14428, -106, -63, -3, 0
Find t, given that 2t2/13 + 435136744t/13 - 33070404096/13 = 0.
-217568448, 76
Determine f so that 4f4 - 4699640f*3 - 1255104576f*2 + 18262305656f - 64724048452 = 0.
-281, 7, 1175177
Determine p so that 3p5 + 15308589p*4 + 3964720959p*3 - 11986014441p*2 + 12016631634p - 4010646744 = 0.
-5102604, -262, 1
Suppose q*4/3 - 52902628q*3/3 + 740636617q*2/3 - 370318286q - 634831368 = 0. What is q?
-1, 3, 12, 52902614
Suppose 2b2/9 - 700610b + 1468201968 = 0. What is b?
2097, 3150648

Let 2*a**5 + 15648*a**4 - 5632498*a**3 + 172753368*a**2 + 189729080*a - 356865600 = 0. Calculate a.

-8170, -2, 1, 35, 312

Factor d**3/5 - 125473*d**2/5 + 3073711536*d/5 - 4249998289728.

(d - 95665)*(d - 14904)**2/5

Let 25*u**2 + 19371442848*u - 1549715428 = 0. Calculate u.

-774857714, 2/25

Let -5*s**2 - 1118419395*s + 74934121910 = 0. Calculate s.

-223683946, 67

Suppose -2*b**5 - 88544*b**4 - 1090470266*b**3 - 2371643414628*b**2 + 4746558594240*b - 2373824620800 = 0. What is b?

-20760, -2754, 1

Let -950*w**5 - 1624638*w**4 - 283580134*w**3 - 322886906*w**2 - 42116652*w - 1186192 = 0. Calculate w.

-1513, -196, -1, -2/19, -1/25

Find v, given that 2*v**2/3 + 68353452700*v/3 + 584024312001392161250/3 = 0.

-17088363175

Factor 3*p**2/7 + 1033682952*p/7 + 2067365892/7.

3*(p + 2)*(p + 344560982)/7

Factor 4*d**2 - 25825956*d + 129129680.

4*(d - 6456484)*(d - 5)

Factor -11*v**2 - 1732379982*v - 472467267.

-(v + 157489089)*(11*v + 3)

Suppose -4*q**5/3 + 10222*q**4 - 21112772*q**3/3 + 5061772520*q**2/3 - 136746073800*q + 203856304750/3 = 0. Calculate q.

1/2, 245, 6931

Let 42050*p**5 - 46794690*p**4 - 32872344192*p**3 - 4647373118144*p**2 - 768545057280*p - 31792550400 = 0. What is p?

-260, -12/145, 1633

Suppose -3*k**3/7 - 2521608*k**2/7 - 103380759*k/7 + 15128910 = 0. What is k?

-840495, -42, 1

Let 15639*t**4/8 + 59387841*t**3/2 + 897752428587*t**2/8 - 16461390660177*t/4 + 61551150678 = 0. What is t?

-7613, 6/401, 472/13

What is f in 4*f**3 + 5732104250*f**2 - 2866052126*f = 0?

-1433026063, 0, 1/2

Find n such that n**4/4 - 20549649*n**3/4 + 140746453373757*n**2/4 - 321180186302364446027*n/4 - 380993936940062488892145/2 = 0.

-2370, 6850673

Factor i**3/4 - 15700568395*i**2/2 + 246507847926072876025*i/4.

i*(i - 15700568395)**2/4

Factor 4*n**2 - 244408*n - 41710552572.

4*(n - 137139)*(n + 76037)

Factor 2*d**2/7 + 1222202*d/7 - 4371175452.

2*(d - 24086)*(d + 635187)/7

Determine w, given that -389218*w**2/5 - 118321748*w/5 + 159296/5 = 0.

-304, 262/194609

Factor -9*g**2/5 + 5279911*g/5 - 33554950.

-(g - 586625)*(9*g - 286)/5

Factor -4*b**2 - 4922838*b + 438164266.

-2*(b - 89)*(2*b + 2461597)

Factor -2*c**2 - 6402885034*c.

-2*c*(c + 3201442517)

Suppose 3*x**4/2 + 6664359*x**3 + 1646028222*x**2 + 102458845881*x + 201638964033/2 = 0. Calculate x.

-4442659, -123, -1

Suppose -3*k**5/2 - 50175*k**4/2 - 117094848*k**3 - 103004322462*k**2 - 33112571888400*k - 3627415364220000 = 0. Calculate k.

-7850, -393, -316

Suppose 5*s**2 - 125620*s - 22987009600 = 0. Calculate s.

-56396, 81520

Suppose 3*u**2 - 1945433106*u - 17508898197 = 0. Calculate u.

-9, 648477711

Find j such that 5*j**2 - 703311055*j + 22505948640 = 0.

32, 140662179

Let 2*g**3 + 7952863608*g**2 + 63622908768*g + 127245817472 = 0. What is g?

-3976431796, -4

Factor -4*r**2/3 - 71193016844*r/3 + 23731005616.

-4*(r - 1)*(r + 17798254212)/3

Factor -4*c**2/7 - 69485950676*c/7 + 69485950680/7.

-4*(c - 1)*(c + 17371487670)/7

Let f**2/5 - 773535889*f/5 + 2320607658/5 = 0. Calculate f.

3, 773535886

Suppose -j**4 + 3469*j**3 - 608228*j**2 + 22640540*j = 0. What is j?

0, 53, 130, 3286

Suppose n**2/3 + 13413331*n - 5834820010/3 = 0. Calculate n.

-40240138, 145

Let 5*i**4/6 - 99199*i**3/3 + 3724825*i**2/2 + 769352047*i/3 + 306840512/3 = 0. Calculate i.

-64, -2/5, 121, 39623

Let -3*o**3/7 + 19698429*o**2/7 - 256078800*o/7 - 1772855100/7 = 0. What is o?

-5, 18, 6566130

Factor -3*c**3 - 74120841339*c**2.

-3*c**2*(c + 24706947113)

Solve -2*j**3 - 182253982*j**2/9 + 17638304344*j/9 + 1309541128/3 = 0.

-10125318, -2/9, 97

Find y such that -21*y**3 + 21488594259*y**2 - 6139598358*y = 0.

0, 2/7, 1023266393

Solve -28*k**4 - 301400*k**3 + 109062387156*k**2 + 3052880407494800*k + 872242641939472 = 0 for k.

-39799, -2/7, 68834

Factor 2*j**2/13 - 25198841810*j/13 + 50397683612/13.

2*(j - 12599420903)*(j - 2)/13

Find k such that k**5 - 9320001*k**4 + 21715562719806*k**3 + 195442021681634*k**2 - 2801319520484415*k + 2584161945402975 = 0.

-17, 1, 7, 4660005

Factor 2*t**2/3 - 11043387566*t/3 + 22086775124/3.

2*(t - 5521693781)*(t - 2)/3

Factor 2*h**2 - 31737538*h - 22122035604.

2*(h - 15869466)*(h + 697)

Let 3*f**5 + 43800*f**4 + 7466403*f**3 + 311055642*f**2 + 867151656*f = 0. What is f?

-14428, -106, -63, -3, 0

Find t, given that 2*t**2/13 + 435136744*t/13 - 33070404096/13 = 0.

-217568448, 76

Determine f so that 4*f**4 - 4699640*f**3 - 1255104576*f**2 + 18262305656*f - 64724048452 = 0.

-281, 7, 1175177

Determine p so that 3*p**5 + 15308589*p**4 + 3964720959*p**3 - 11986014441*p**2 + 12016631634*p - 4010646744 = 0.

-5102604, -262, 1

Suppose q**4/3 - 52902628*q**3/3 + 740636617*q**2/3 - 370318286*q - 634831368 = 0. What is q?

-1, 3, 12, 52902614

Suppose 2*b**2/9 - 700610*b + 1468201968 = 0. What is b?

2097, 3150648