 = 0. Calculate a.
-5, -1, 1
Solve 21*t**5/4 - 51*t**4 + 153*t**3 - 120*t**2 - 48*t = 0.
-2/7, 0, 2, 4
Suppose 3*f**3 + 594*f**2 + 39204*f + 862488 = 0. Calculate f.
-66
Suppose 32*v**3/3 - 296*v**2/9 + 20*v/9 + 4/3 = 0. What is v?
-1/6, 1/4, 3
Factor 4*r**2 - 52*r.
4*r*(r - 13)
Factor -g**3 + 2*g**2.
-g**2*(g - 2)
Factor -3*d**2 + 540*d.
-3*d*(d - 180)
Find j, given that 2*j**4 + 48*j**3 + 168*j**2 + 160*j = 0.
-20, -2, 0
Suppose -2*s**2/5 - 24*s/5 - 72/5 = 0. What is s?
-6
Solve 140*y**5 + 1024*y**4 - 1172*y**3 - 12184*y**2 + 8592*y - 1440 = 0 for y.
-6, -5, 2/7, 2/5, 3
Solve w**2/9 - 46*w/9 + 205/9 = 0 for w.
5, 41
Factor -3*i**2 + 780*i - 50700.
-3*(i - 130)**2
Factor 2*u**5/3 - 8*u**3/3 + 4*u**2/3 + 2*u - 4/3.
2*(u - 1)**3*(u + 1)*(u + 2)/3
Factor -i**5/3 + 4*i**4/3 + 12*i**3 + 74*i**2/3 + 61*i/3 + 6.
-(i - 9)*(i + 1)**3*(i + 2)/3
Determine f so that f**5 + 11*f**4 + 21*f**3 - 35*f**2 - 94*f - 48 = 0.
-8, -3, -1, 2
Determine v, given that -2*v**2 - 64*v - 312 = 0.
-26, -6
Factor -w**2/2 + 18*w - 112.
-(w - 28)*(w - 8)/2
Factor -z**2/11 + 21*z/11 - 38/11.
-(z - 19)*(z - 2)/11
Suppose a**3/10 - 9*a**2/10 - 12*a + 64/5 = 0. What is a?
-8, 1, 16
Solve -2*t**4/3 + 4*t**2 - 16*t/3 + 2 = 0.
-3, 1
Find m such that -2*m**3/13 + 17970*m**2/13 - 53820150*m/13 + 53730449750/13 = 0.
2995
Factor -2*k**2/19 - 2570*k/19.
-2*k*(k + 1285)/19
Factor -3*r**3 + 12*r**2 + 57*r + 42.
-3*(r - 7)*(r + 1)*(r + 2)
Factor 2*x**3/15 - 4*x**2/15 + 2*x/15.
2*x*(x - 1)**2/15
Let -3*s**2/7 - 9*s + 1938/7 = 0. What is s?
-38, 17
Factor g**3/4 + 7*g**2/2 + 15*g/4 - 99/2.
(g - 3)*(g + 6)*(g + 11)/4
Find b, given that -b**2 - 91*b - 178 = 0.
-89, -2
Factor -2*f**3/7 + 24*f**2/7 - 6*f - 28.
-2*(f - 7)**2*(f + 2)/7
Find a such that a**5/3 - 29*a**4/3 + 54*a**3 + 704*a**2/3 + 512*a/3 = 0.
-2, -1, 0, 16
Determine o, given that -3*o**2 - 288*o - 6912 = 0.
-48
Let -j**3/3 + j/3 = 0. Calculate j.
-1, 0, 1
Suppose f**5 + 3*f**4 - f**3 - 11*f**2 - 12*f - 4 = 0. What is f?
-2, -1, 2
Determine i so that 2*i**4/9 + 416*i**3/9 + 826*i**2/9 + 412*i/9 = 0.
-206, -1, 0
Let 2*b**3/7 - 58*b**2/7 - 2*b/7 + 58/7 = 0. What is b?
-1, 1, 29
Suppose 4*w**5/3 - 212*w**4 + 3092*w**3/3 - 604*w**2 - 1848*w = 0. What is w?
-1, 0, 3, 154
Factor -w**3/7 - 38*w**2/7 - 201*w/7 - 288/7.
-(w + 3)**2*(w + 32)/7
Solve 4*p**3/3 + 943*p**2/3 + 3476*p/3 - 928/3 = 0 for p.
-232, -4, 1/4
Factor 2*m**3 - 324*m**2 - 326*m.
2*m*(m - 163)*(m + 1)
What is w in -2*w**2/5 - 116*w/5 - 432/5 = 0?
-54, -4
Suppose -2*s**4 - 3432*s**3 - 2208492*s**2 - 631628712*s - 67742179362 = 0. What is s?
-429
Solve -2*s**5/9 + 74*s**4/9 - 142*s**3/9 + 70*s**2/9 = 0 for s.
0, 1, 35
Factor -3*v**3 + 8448*v**2 + 16905*v + 8454.
-3*(v - 2818)*(v + 1)**2
Factor 5*k**3 - 20*k.
5*k*(k - 2)*(k + 2)
Determine a so that -2*a**3/17 + 60*a**2/17 + 234*a/17 - 1188/17 = 0.
-6, 3, 33
What is g in 59049*g**4/5 + 308367*g**3/5 + 66582*g**2/5 + 4884*g/5 + 24 = 0?
-5, -2/27
Suppose t**3/7 - 4*t**2/7 + 3*t/7 = 0. Calculate t.
0, 1, 3
Suppose -2*r**4 + 52*r**3 - 182*r**2 + 132*r = 0. What is r?
0, 1, 3, 22
Factor 2*f**5 - 6*f**4 + 4*f**3.
2*f**3*(f - 2)*(f - 1)
Let 2*d**4/3 + 1158*d**3 + 670482*d**2 + 129403026*d = 0. What is d?
-579, 0
Suppose -5*h**2/3 + 5*h/3 + 2220 = 0. What is h?
-36, 37
Factor -n**4 - 19*n**3 - 12*n**2 + 108*n.
-n*(n - 2)*(n + 3)*(n + 18)
Let -5*i**2 - 2345*i + 4710 = 0. Calculate i.
-471, 2
Factor 4*z**3 + 104*z**2 + 196*z + 96.
4*(z + 1)**2*(z + 24)
Factor 2*v**5 - 58*v**4 - 970*v**3 + 16578*v**2 + 299376*v + 1143072.
2*(v - 28)**2*(v + 9)**3
What is l in -l**2/4 - 4*l = 0?
-16, 0
Factor -7*t**5/6 - 5*t**4 - 6*t**3 - 4*t**2/3.
-t**2*(t + 2)**2*(7*t + 2)/6
Factor 7*a**5/3 + 32*a**4/3 + 58*a**3/3 + 52*a**2/3 + 23*a/3 + 4/3.
(a + 1)**4*(7*a + 4)/3
Let -6*s**5 + 9*s**4 + 72*s**3 - 204*s**2 + 144*s = 0. What is s?
-4, 0, 3/2, 2
Factor 7938*z**3 - 150318*z**2 - 9568*z - 152.
2*(z - 19)*(63*z + 2)**2
Factor 3*k**5 + 36*k**4/7 - 12*k**3/7.
3*k**3*(k + 2)*(7*k - 2)/7
Let 49*f**5/4 - 273*f**4/4 + 431*f**3/4 + 17*f**2/4 - 120*f + 64 = 0. Calculate f.
-1, 1, 16/7
Suppose -k**2 - 5616*k - 7884864 = 0. Calculate k.
-2808
Factor -3*q**2/4 + 12*q - 36.
-3*(q - 12)*(q - 4)/4
Find f such that 42*f**5 + 2258*f**4 + 40272*f**3 + 234576*f**2 - 69984*f - 69984 = 0.
-18, -3/7, 2/3
Factor 5*c**4 - 80*c**3 + 275*c**2 + 360*c.
5*c*(c - 9)*(c - 8)*(c + 1)
Factor 2*r**3 - 2*r.
2*r*(r - 1)*(r + 1)
Suppose -2*a**5 + 80*a**4 - 614*a**3 - 3952*a**2 + 616*a + 3872 = 0. Calculate a.
-4, -1, 1, 22
Determine k so that -90*k**5 + 18*k**4 + 70*k**3 + 6*k**2 - 4*k = 0.
-2/3, -1/3, 0, 1/5, 1
Factor 2*y**3 + 2844*y**2/5 + 202776*y/5 + 80656/5.
2*(y + 142)**2*(5*y + 2)/5
Factor -3*b**3 + 63*b**2 + 3159*b - 72171.
-3*(b - 27)**2*(b + 33)
Suppose 2*x**2/5 - 222*x/5 + 44 = 0. Calculate x.
1, 110
Factor 4*h**4/3 + 38*h**3/3 + 80*h**2/3 - 50*h/3.
2*h*(h + 5)**2*(2*h - 1)/3
Factor -38*b**3/23 + 4*b**2 - 32*b/23.
-2*b*(b - 2)*(19*b - 8)/23
Factor -5*j**5 + 55*j**4 - 95*j**3 + 45*j**2.
-5*j**2*(j - 9)*(j - 1)**2
Solve 45*h**4 + 2760*h**3 + 13700*h**2 + 14640*h + 4480 = 0 for h.
-56, -4, -2/3
Factor -2*p**3/7 + 2*p**2/7 + 6*p - 90/7.
-2*(p - 3)**2*(p + 5)/7
Find s, given that 10*s**4/13 - 316*s**3/13 + 3122*s**2/13 - 680*s - 312 = 0.
-2/5, 6, 13
Find u, given that -2*u**2 + 70*u + 588 = 0.
-7, 42
Let -d**3/5 + 48*d**2/5 - 9*d - 94/5 = 0. What is d?
-1, 2, 47
Factor -k**3 + 2*k**2 + 8*k.
-k*(k - 4)*(k + 2)
Solve 4096*t**3 + 7936*t**2 + 4740*t + 900 = 0.
-1, -15/32
Factor 4*h**2 + 604*h + 1776.
4*(h + 3)*(h + 148)
Let i**4/5 + 599*i**3/5 + 17880*i**2 - 18000*i = 0. What is i?
-300, 0, 1
Determine g so that -g**4 + 215*g**3 - 1467*g**2 + 2293*g - 1040 = 0.
1, 5, 208
Factor 2*m**4/7 - 4*m**3/7 - 6*m**2 - 36*m/7.
2*m*(m - 6)*(m + 1)*(m + 3)/7
Find r, given that -4*r**3/9 - 1804*r**2/9 + 1808*r/9 = 0.
-452, 0, 1
Factor -k**4 + 31*k**3 - 330*k**2 + 1300*k - 1000.
-(k - 10)**3*(k - 1)
Factor 4*d**2 - 16368*d + 16744464.
4*(d - 2046)**2
Factor 5*b**3 - 130*b**2 - 5*b + 130.
5*(b - 26)*(b - 1)*(b + 1)
Solve v**5/2 - 23*v**4/2 + 81*v**3 - 88*v**2 - 832*v + 1536 = 0 for v.
-3, 2, 8
Factor w**5 - 3*w**4 - 32*w**3 - 60*w**2 - 32*w.
w*(w - 8)*(w + 1)*(w + 2)**2
Solve -2*c**3 - 22*c**2 + 104*c + 280 = 0 for c.
-14, -2, 5
Factor -w**3/6 + 143*w**2/6 - 840*w - 864.
-(w - 72)**2*(w + 1)/6
Factor 2*y**4 + 20*y**3 + 18*y**2.
2*y**2*(y + 1)*(y + 9)
Factor -3*q**2 - 948*q + 951.
-3*(q - 1)*(q + 317)
Factor -s**3/4 + 11*s**2/4 - 17*s/2 + 6.
-(s - 6)*(s - 4)*(s - 1)/4
What is y in -3*y**2 + 60384*y - 303852288 = 0?
10064
Let m**5/6 + m**4/6 - 5*m**3/6 - 5*m**2/6 + 2*m/3 + 2/3 = 0. What is m?
-2, -1, 1, 2
Factor -v**4/8 + v**3/4 - v**2/8.
-v**2*(v - 1)**2/8
Solve 38*s**5 - 338*s**4 - 150*s**3 + 938*s**2 + 784*s + 72 = 0 for s.
-1, -2/19, 2, 9
Factor 4*g**3 + 104*g**2 + 880*g + 2400.
4*(g + 6)*(g + 10)**2
Factor 4*d**4/7 + 1416*d**3/7 + 2820*d**2/7 + 1408*d/7.
4*d*(d + 1)**2*(d + 352)/7
Factor -16*t**3 + 96*t**2 - 180*t + 108.
-4*(t - 3)*(2*t - 3)**2
Determine g so that 2*g**3/9 + 208*g**2/9 + 5408*g/9 = 0.
-52, 0
Factor -2*x**2/3 + 170*x/3 - 56.
-2*(x - 84)*(x - 1)/3
Find u, given that u**5/3 - 5*u**4/3 - 37*u**3/3 + 5*u**2/3 + 12*u = 0.
-4, -1, 0, 1, 9
Determine k, given that k**4/3 - 7*k**3/3 + 2*k**2 + 32*k/3 - 32/3 = 0.
-2, 1, 4
Solve -a**2/4 - 79*a/4 + 81/2 = 0 for a.
-81, 2
Find u such that 28*u**5 + 92*u**4 - 200*u**3 - 400*u**2 + 352*u + 128 = 0.
-4, -2, -2/7, 1, 2
What is x in x**2/4 - 1/4 = 0?
-1, 1
Find u, given that -4*u**4 + 456*u**3 - 1340*u**2 + 888*u = 0.
0, 1, 2, 111
Factor -2*d**4 + 4*d**3 - 2*d**2.
-2*d**2*(d - 1)**2
Solve -676*z**3 - 5616*z**2 - 1680*z - 128 = 0 for z.
-8, -2/13
Find b such that 5*b**5 - 10*b**4 + 10*b**2 - 5*b = 0.
-1, 0, 1
Factor -w**4 + 13*w**3 + 34*w**2 - 580*w - 600.
-(w - 10)**2*(w + 1)*(w + 6)
Let 2*k**3/7 + 40*k**2/7 - 94*k/7 - 132/7 = 0. What is k?
-22, -1, 3
Suppose -18*i**4/5 - 4*i**3/5 + 162*i**2/5 + 36*i/5 = 0. Calculate i.
-3, -2/9, 0, 3
Find w, given that -3*w**5/2 - 3*w**4 + 249*w**3/2 + 6*w**2 - 366*w + 240 = 0.
-10, -2, 1, 8
Factor -4*s**5 - 20*s**4 + 1056*s**3 - 6048*s**2 + 1728*s + 36288.
-4*(s - 6)**3*(s + 2)*(s + 21)
Factor 2*o**2 + 46*o + 84.
2*(o + 2)*(o + 21)
Factor -5*t**2 + 210*t - 1885.
-5*(t - 29)*(t - 13)
Factor -12*n**4 + 32*n**3 + 272*n**