-32, -30, 3
Let w**4/3 - 172*w**3/3 + 2150*w**2 + 84812*w/3 - 91091/3 = 0. Calculate w.
-11, 1, 91
Find t such that -2*t**4/15 + 3562*t**3/15 - 1418*t**2/3 - 46234*t/15 - 2372 = 0.
-2, -1, 5, 1779
Factor 26*g**2/9 - 738*g + 84700/9.
2*(g - 242)*(13*g - 175)/9
Find d such that -500*d**4 - 5100*d**3 - 9005*d**2 - 1650*d - 80 = 0.
-8, -2, -1/10
Factor -5*o**5 - 145*o**4 - 410*o**3 + 2150*o**2 - 2465*o + 875.
-5*(o - 1)**3*(o + 7)*(o + 25)
Determine v so that 4*v**4 - 238880*v**3 + 3566000572*v**2 + 14269019184*v - 17834780880 = 0.
-5, 1, 29862
Let -3*y**2 + 1443*y + 33198 = 0. Calculate y.
-22, 503
What is x in 4*x**5 - 640*x**4 + 30124*x**3 - 356304*x**2 + 857088*x + 1244160 = 0?
-1, 5, 12, 72
Factor 5*n**4 + 1980*n**3 + 289620*n**2 + 18532800*n + 438048000.
5*(n + 78)**2*(n + 120)**2
Find b such that -15*b**5/8 + 207*b**4/4 - 2757*b**3/8 + 2985*b**2/4 - 711*b/2 - 285 = 0.
-2/5, 2, 5, 19
Factor -4*i**3 - 184*i**2 + 800*i.
-4*i*(i - 4)*(i + 50)
Factor j**2/3 + 351902*j/3 + 30958754401/3.
(j + 175951)**2/3
Suppose -2*o**4 - 165224*o**3/5 - 682342048*o**2/5 + 1092302496*o/5 + 546085152/5 = 0. Calculate o.
-8262, -2/5, 2
Factor 3*d**3 - 1098*d**2 - 12*d + 4392.
3*(d - 366)*(d - 2)*(d + 2)
Let -3*l**3 + 213*l**2 + 2190*l - 2400 = 0. Calculate l.
-10, 1, 80
Suppose 4*b**2/3 + 78256*b/3 - 782960/3 = 0. What is b?
-19574, 10
Factor 4*s**4 + 5276*s**3 + 1768528*s**2 + 18966000*s + 47904192.
4*(s + 4)*(s + 7)*(s + 654)**2
Determine q so that -q**3 + 398*q**2 - 39200*q - 80000 = 0.
-2, 200
Suppose 28*x**3 - 9736*x**2 - 1196256*x - 340992 = 0. Calculate x.
-96, -2/7, 444
Factor 4*o**3/3 + 2788*o**2/3 + 22112*o/3 + 44096/3.
4*(o + 4)**2*(o + 689)/3
Determine d, given that -d**5/4 + 495*d**4/2 - 240025*d**3/4 - 618750*d**2 - 1562500*d = 0.
-5, 0, 500
Determine g so that 5*g**5 + 615*g**4 + 2405*g**3 + 2985*g**2 + 1190*g = 0.
-119, -2, -1, 0
Determine b, given that 3*b**3/8 + 411*b**2 + 904191*b/8 + 897627/4 = 0.
-547, -2
Factor -4*a**2 - 9080*a.
-4*a*(a + 2270)
Suppose -a**3/4 + 33*a**2 + 6013*a/4 + 1470 = 0. Calculate a.
-35, -1, 168
Factor -3*s**4 + 63*s**3 + 1584*s**2 + 7104*s.
-3*s*(s - 37)*(s + 8)**2
Factor z**2/4 - 131*z/4 + 721.
(z - 103)*(z - 28)/4
Factor -2*i**3/3 + 42*i**2 - 508*i/3 - 1392.
-2*(i - 58)*(i - 9)*(i + 4)/3
Factor -m**4 - 256*m**3 - 16634*m**2 - 31496*m + 48387.
-(m - 1)*(m + 3)*(m + 127)**2
Suppose 3*j**2/2 - 1335*j = 0. Calculate j.
0, 890
Solve -3*g**2 - 3165*g - 12612 = 0 for g.
-1051, -4
Suppose 3*y**3/8 + 39027*y**2/8 + 126984081*y/8 + 380601081/8 = 0. What is y?
-6503, -3
Factor 26*g**3/3 + 76*g**2/3 - 158*g + 12.
2*(g - 3)*(g + 6)*(13*g - 1)/3
Suppose -423762*c**4 - 423759*c**3 + 423765*c**2 + 423759*c - 3 = 0. Calculate c.
-1, 1/141254, 1
Determine a so that a**5/2 - 1011*a**4/2 + 258025*a**3/2 - 1250961*a**2/2 - 1771063*a = 0.
-2, 0, 7, 503
Find q such that -q**3/7 + 21*q**2 - 5475*q/7 + 5329/7 = 0.
1, 73
Let 22*g**3 + 23022*g**2 - 12564*g = 0. Calculate g.
-1047, 0, 6/11
Determine c, given that 2*c**5 - 63236*c**4 + 499785722*c**3 + 999761160*c**2 + 499912200*c = 0.
-1, 0, 15810
What is l in l**5/2 - l**4 - 99*l**3/2 + 100*l**2 - 50*l = 0?
-10, 0, 1, 10
Suppose 2*n**3/11 - 106*n**2/11 - 2656*n/11 + 19320/11 = 0. What is n?
-23, 6, 70
Determine i, given that 2*i**5 - 254*i**4 + 3860*i**3 + 26400*i**2 - 4032*i - 124416 = 0.
-4, -3, 2, 24, 108
Solve -x**5/2 + 415*x**4/2 + 1481*x**3 - 1688*x**2 = 0 for x.
-8, 0, 1, 422
Suppose 2*h**3 - 1102*h**2 - 1104*h = 0. Calculate h.
-1, 0, 552
Factor -41772*r**2 + 43188*r - 11163.
-3*(118*r - 61)**2
Find l, given that 50*l**2 + 3848*l - 154 = 0.
-77, 1/25
Factor v**2/4 - 4175*v/2 - 8351/4.
(v - 8351)*(v + 1)/4
Find y such that -y**4/7 - 1532*y**3/7 + 3069*y**2/7 + 1532*y/7 - 3068/7 = 0.
-1534, -1, 1, 2
Factor -3*y**3 + 1089*y**2 - 95757*y - 96849.
-3*(y - 211)*(y - 153)*(y + 1)
Solve 5*k**2 - 7281920*k + 2651317944320 = 0.
728192
Let 180*p**4/7 - 121*p**3 + 181*p**2 - 572*p/7 - 4 = 0. What is p?
-2/45, 1, 7/4, 2
Factor 2*w**3/3 + 168*w**2 - 3614*w/3 + 1036.
2*(w - 6)*(w - 1)*(w + 259)/3
Let -15*y**4/2 + 47435*y**3 - 31620*y**2 = 0. What is y?
0, 2/3, 6324
Factor -s**3/2 + 19957*s**2/2 - 99560483*s/2 - 99580441/2.
-(s - 9979)**2*(s + 1)/2
Let -36*h**3 + 3174*h**2 + 3201*h + 1605/2 = 0. Calculate h.
-1/2, 535/6
Factor 4*b**3 + 180*b**2 + 2204*b + 7020.
4*(b + 5)*(b + 13)*(b + 27)
Suppose 3*m**2 - 9684*m = 0. What is m?
0, 3228
Factor 3*u**3 - 1155*u**2 - 12*u + 4620.
3*(u - 385)*(u - 2)*(u + 2)
What is y in 3*y**2 + 4143*y - 12456 = 0?
-1384, 3
Find a, given that -a**4/3 - 40*a**3/3 + 109*a**2 - 134*a/3 - 1880/3 = 0.
-47, -2, 4, 5
What is y in -3*y**5 - 342*y**4 + 2985*y**3 + 6984*y**2 + 3660*y = 0?
-122, -1, 0, 10
Factor a**4/4 - 6931*a**3/4 - 10401*a**2/2.
a**2*(a - 6934)*(a + 3)/4
Solve -2*c**4/3 - 562*c**3/3 - 35338*c**2/3 - 33662*c/3 + 23188 = 0 for c.
-187, -93, -2, 1
Suppose -2*a**2 - 954*a - 60952 = 0. Calculate a.
-401, -76
Solve -4*n**4 + 546*n**3 + 7282*n**2 + 24960*n + 10728 = 0 for n.
-6, -1/2, 149
Solve -3*m**2/4 + 585*m/2 + 1182 = 0 for m.
-4, 394
Factor -3*f**2 - 1068*f - 14364.
-3*(f + 14)*(f + 342)
Factor k**2/3 + 428*k/3 - 46655.
(k - 217)*(k + 645)/3
Factor p**4/2 - 311*p**3/2 - 4810*p**2 + 21696*p.
p*(p - 339)*(p - 4)*(p + 32)/2
Suppose 7*b**4/6 + 22*b**3/3 - 31*b**2/6 - 160*b/3 + 50 = 0. What is b?
-5, -30/7, 1, 2
Factor -n**2/2 - 147509*n - 21758905081/2.
-(n + 147509)**2/2
Factor 3*w**2/2 - 2601*w/2 + 12855.
3*(w - 857)*(w - 10)/2
Suppose k**3/2 + 15179*k**2 - 30361*k/2 - 30359 = 0. What is k?
-30359, -1, 2
Factor -d**2 - 1079*d/3 - 718/3.
-(d + 359)*(3*d + 2)/3
Factor -5*w**3 + 85*w**2 + 1390*w + 4200.
-5*(w - 28)*(w + 5)*(w + 6)
Determine p, given that 3*p**4/5 + 48*p**3/5 - 90*p**2 + 744*p/5 - 69 = 0.
-23, 1, 5
Determine v so that -4*v**5 - 468*v**4 + 4972*v**3 - 13644*v**2 + 9144*v = 0.
-127, 0, 1, 3, 6
Factor 3*n**3 - 182919*n**2 + 2788371504*n - 2788188588.
3*(n - 30486)**2*(n - 1)
Let -3*c**5 - 36507*c**4 + 109542*c**3 - 73032*c**2 = 0. Calculate c.
-12172, 0, 1, 2
Factor -v**3/3 + 1072*v**2/3 - 11671*v/3.
-v*(v - 1061)*(v - 11)/3
Determine q, given that 2*q**5 - 16*q**4 - 592*q**3 - 556*q**2 + 590*q + 572 = 0.
-13, -1, 1, 22
Factor -k**3/2 - 12*k**2 + 340515*k/2 - 36910181.
-(k - 329)**2*(k + 682)/2
Let 279*u**5 - 561*u**4 - 1896*u**3 + 684*u**2 = 0. Calculate u.
-2, 0, 1/3, 114/31
Determine u, given that 3*u**5 - 14859*u**4 + 89070*u**3 - 118710*u**2 - 89073*u + 133569 = 0.
-1, 1, 3, 4947
Determine j, given that 110*j**5/9 - 346*j**4 - 2242*j**3/9 + 122*j**2 + 116*j/9 = 0.
-1, -1/11, 0, 2/5, 29
Solve 4*o**2/7 - 24064*o/7 = 0.
0, 6016
Factor 2*p**2/21 + 838*p/21 + 7540/7.
2*(p + 29)*(p + 390)/21
Factor 2*p**3/3 - 27106*p**2/3.
2*p**2*(p - 13553)/3
Factor 4*n**2/7 - 2344*n/7 + 2340/7.
4*(n - 585)*(n - 1)/7
What is n in n**3 + 13223*n**2 + 13222*n = 0?
-13222, -1, 0
Suppose 4*r**2 - 17328*r + 293420 = 0. What is r?
17, 4315
Solve 2*h**5/7 - 8*h**4/7 - 2430*h**3/7 - 11700*h**2/7 = 0 for h.
-30, -5, 0, 39
Find l such that l**2/8 + 26647*l - 213177/8 = 0.
-213177, 1
Factor 6*w**2 + 2047940*w + 682646.
2*(w + 341323)*(3*w + 1)
Suppose -u**3/4 - 117*u**2 - 30525*u/4 - 269693/2 = 0. What is u?
-394, -37
Let 5*a**3 - 19480*a**2 - 2841775*a - 101777790 = 0. Calculate a.
-71, 4038
Find h such that -h**4/4 - 867*h**3/4 + 1751*h**2/4 + 11307*h/4 + 4345/2 = 0.
-869, -2, -1, 5
Determine p, given that -p**3/2 + 1328*p**2 + 5326*p - 15960 = 0.
-6, 2, 2660
Suppose n**2/2 + 385*n + 144381/2 = 0. Calculate n.
-447, -323
Factor i**4 - 7550*i**3 + 52801*i**2.
i**2*(i - 7543)*(i - 7)
Factor -3*q**4/4 + 102*q**3 - 5178*q**2 + 116280*q - 974700.
-3*(q - 38)**2*(q - 30)**2/4
Suppose -100*v**5 + 19180*v**4 + 317604*v**3 - 615164*v**2 + 334784*v - 56304 = 0. Calculate v.
-17, 2/5, 1, 207
Let -4*x**2 + 1280*x - 70000 = 0. Calculate x.
70, 250
Find s, given that -4*s**3 + 16*s**2 + 528*s - 2880 = 0.
-12, 6, 10
Determine b, given that 5*b**2 + 865*b - 2640 = 0.
-176, 3
Suppose 6*t**5/7 + 1476*t**4/7 - 15138*t**3/7 + 56472*t**2/7 - 91944*t/7 + 55296/7 = 0. What is t?
-256, 2, 3
Determine h so that -h**4/3 + 314*h**3/3 - 312*h**2 + 934*h/3 - 311/3 = 0.
1, 311
Factor -2*f**3/5 - 1923*f**2/5 + 12564*f/5 - 3872.
-(f - 4)*(f + 968)*(2*f - 5)/5
Determine w, given that 3*w**4/7 - 630*w**3 + 440