*c**3 + 120*c**2 + 135*c - 250 = 0. What is c?
-2, 1, 25
Determine k so that -2*k**4/17 + 18*k**3/17 - 216*k/17 = 0.
-3, 0, 6
Factor 2*t**5 + 14*t**4 + 16*t**3 - 32*t**2.
2*t**2*(t - 1)*(t + 4)**2
Solve -h**2 + 269*h - 534 = 0.
2, 267
Solve -9*y**3/5 - 87*y**2/5 - 39*y/5 + 27 = 0 for y.
-9, -5/3, 1
Suppose -y**4/5 - 7*y**3/5 - 14*y**2/5 - 8*y/5 = 0. What is y?
-4, -2, -1, 0
Factor -4*q**3/5 - 56*q**2/5 + 272*q/5 - 288/5.
-4*(q - 2)**2*(q + 18)/5
Factor -12*w**4 + 68*w**3 - 88*w**2 + 32*w.
-4*w*(w - 4)*(w - 1)*(3*w - 2)
Find n such that 2*n**2/5 - 114*n/5 + 112/5 = 0.
1, 56
Determine v, given that -v**5 + 3*v**4 + 19*v**3 - 3*v**2 - 18*v = 0.
-3, -1, 0, 1, 6
Suppose -2*v**5/13 + 48*v**3/13 - 4*v**2 - 174*v/13 + 180/13 = 0. Calculate v.
-5, -2, 1, 3
Suppose 4*r**2 + 312*r - 316 = 0. What is r?
-79, 1
Let -110*r**3/7 - 876*r**2/7 - 738*r/7 + 4 = 0. Calculate r.
-7, -1, 2/55
Factor 2*r**4/9 + 3916*r**3/9 + 284272*r**2 + 559436864*r/9 + 1108671232/9.
2*(r + 2)*(r + 652)**3/9
Factor -2*l**3/13 + 20*l**2/13 - 34*l/13 + 16/13.
-2*(l - 8)*(l - 1)**2/13
Factor -12*j**3 + 159*j**2 - 183*j + 36.
-3*(j - 12)*(j - 1)*(4*j - 1)
Factor -y**5 + 5*y**4 - y**3 - 17*y**2 + 22*y - 8.
-(y - 4)*(y - 1)**3*(y + 2)
Factor 4*t**4 - 68*t**3 - 76*t**2 + 68*t + 72.
4*(t - 18)*(t - 1)*(t + 1)**2
Solve -6*k**4/5 - 32*k**3/5 - 24*k**2/5 + 32*k/5 = 0 for k.
-4, -2, 0, 2/3
Factor 4*p**3/5 + 514*p**2/5 + 3328*p + 8192/5.
2*(p + 64)**2*(2*p + 1)/5
Determine s so that s**3 - 9*s**2 - 22*s = 0.
-2, 0, 11
Factor 5*o**3/4 - 275*o**2/4 + 910*o + 980.
5*(o - 28)**2*(o + 1)/4
Factor -22*w**3/7 - 134*w**2/7 - 12*w/7.
-2*w*(w + 6)*(11*w + 1)/7
Suppose 12*b**5 + 48*b**4 + 39*b**3 + 9*b**2 = 0. What is b?
-3, -1/2, 0
Factor -2*k**3/7 + 8*k**2/7 - 2*k/7 - 12/7.
-2*(k - 3)*(k - 2)*(k + 1)/7
Solve 5*v**3 + 65*v**2/4 + 55*v/4 + 5/2 = 0.
-2, -1, -1/4
Factor 4*z**3 + 96*z**2 + 92*z.
4*z*(z + 1)*(z + 23)
Suppose -z**2/3 + 410*z/3 + 137 = 0. Calculate z.
-1, 411
Factor 4*d**3 - 5668*d**2 - 4*d + 5668.
4*(d - 1417)*(d - 1)*(d + 1)
Let -2*v**4/5 + 18*v**3/5 + 162*v**2/5 + 262*v/5 + 24 = 0. Calculate v.
-4, -1, 15
Determine n, given that n**3/2 - 11*n**2 + 37*n/2 + 30 = 0.
-1, 3, 20
Factor 2*b**4 + 2*b**3 - 6*b**2 - 2*b + 4.
2*(b - 1)**2*(b + 1)*(b + 2)
Factor 2*f**4 + 156*f**3 + 1360*f**2.
2*f**2*(f + 10)*(f + 68)
Determine h so that -h**2/2 - 976*h - 476288 = 0.
-976
Factor -2*u**2/13 - 314*u/13.
-2*u*(u + 157)/13
Find t such that 3*t**2/4 - 599*t/2 + 399/4 = 0.
1/3, 399
Solve -2*l**4/13 - 42*l**3/13 + 2*l**2/13 + 42*l/13 = 0.
-21, -1, 0, 1
Factor 10*i**3/17 + 4*i**2 + 98*i/17 + 40/17.
2*(i + 1)*(i + 5)*(5*i + 4)/17
Find l such that l**2 - 7*l - 18 = 0.
-2, 9
Factor w**3/5 - 22*w**2/5 - 17*w + 50.
(w - 25)*(w - 2)*(w + 5)/5
Factor -4*t**5/5 - 144*t**4/5 - 1536*t**3/5 - 4096*t**2/5.
-4*t**2*(t + 4)*(t + 16)**2/5
What is y in -y**5/3 + 295*y**4/3 - 293*y**3/3 - 295*y**2/3 + 98*y = 0?
-1, 0, 1, 294
Factor -3*c**4 + 24*c**3 + 9*c**2 - 78*c + 48.
-3*(c - 8)*(c - 1)**2*(c + 2)
Determine r so that r**4/4 + 4*r**3 - 17*r**2/4 = 0.
-17, 0, 1
Suppose -4*i**5/9 + 32*i**3/9 + 8*i**2/3 - 28*i/9 - 8/3 = 0. Calculate i.
-2, -1, 1, 3
Let -4*k**3/7 + 4*k**2/7 + 8*k/7 = 0. What is k?
-1, 0, 2
Solve 4*w**2 + 100*w - 104 = 0 for w.
-26, 1
Factor -2*j**3 - 3*j**2 + 9*j.
-j*(j + 3)*(2*j - 3)
Factor -2*k**2 + 114*k - 324.
-2*(k - 54)*(k - 3)
Suppose 365*f**3 - 690*f**2 + 285*f + 40 = 0. What is f?
-8/73, 1
Find g such that -16*g**2 - 804*g - 200 = 0.
-50, -1/4
Let 5*y**3 + 170*y**2 + 885*y + 1260 = 0. Calculate y.
-28, -3
Factor -4*q**2 - 208*q + 212.
-4*(q - 1)*(q + 53)
Solve -2*s**4/9 + 2*s**3/3 + 82*s**2/9 - 2*s/3 - 80/9 = 0 for s.
-5, -1, 1, 8
Factor -5*w**4 - 5*w**3 + 35*w**2 + 65*w + 30.
-5*(w - 3)*(w + 1)**2*(w + 2)
Find w such that -5*w**2 + 3480*w - 605520 = 0.
348
Find m, given that 10*m**3 + 586*m**2 + 904*m - 456 = 0.
-57, -2, 2/5
Find c such that c**2/2 + 13*c + 69/2 = 0.
-23, -3
Factor -n**4/4 + 895*n**3/2 - 802813*n**2/4 + 400065*n - 199809.
-(n - 894)**2*(n - 1)**2/4
Find s, given that 3*s**3 + 534*s**2 - 3*s - 534 = 0.
-178, -1, 1
What is v in -49*v**3 + 4382*v**2 + 2516*v + 360 = 0?
-2/7, 90
Suppose -2*o**4/7 + 152*o**3/7 + 632*o**2/7 + 640*o/7 = 0. What is o?
-2, 0, 80
Factor -3*t**3/8 - 21*t**2/8 - 21*t/4 - 3.
-3*(t + 1)*(t + 2)*(t + 4)/8
Factor 2*b**2/13 + 222*b/13 + 220/13.
2*(b + 1)*(b + 110)/13
Suppose 3*a**3 - 15*a**2 - 96*a - 108 = 0. What is a?
-2, 9
Determine a so that -3*a**2/7 - 912*a/7 - 909/7 = 0.
-303, -1
Let -25*c**4 + 285*c**3 - 360*c**2 - 1700*c + 720 = 0. Calculate c.
-2, 2/5, 4, 9
Factor -3*m**4 - 222*m**3 - 3876*m**2 + 8664*m.
-3*m*(m - 2)*(m + 38)**2
Factor -2*s**2 + 4664*s - 2719112.
-2*(s - 1166)**2
Find h such that -2*h**5/7 - 26*h**4/7 - 120*h**3/7 - 232*h**2/7 - 160*h/7 = 0.
-5, -4, -2, 0
Suppose g**3/7 - 9*g**2/7 + 26*g/7 - 24/7 = 0. What is g?
2, 3, 4
Determine c, given that -3*c**3 - 6*c**2 + 27*c + 54 = 0.
-3, -2, 3
Let 12*f**3 + 5732*f**2 - 7660*f + 1916 = 0. What is f?
-479, 1/3, 1
Factor 2*k**2/7 + 446*k/7 + 1320/7.
2*(k + 3)*(k + 220)/7
Find l such that 2*l**5/7 + 4*l**4/7 - 2*l**3/7 - 4*l**2/7 = 0.
-2, -1, 0, 1
Find d such that -21*d**5 + 573*d**4 + 3807*d**3 + 5019*d**2 + 1014*d - 792 = 0.
-4, -1, 2/7, 33
What is d in d**2 + 112*d + 3136 = 0?
-56
Let -117*k**2/8 - 471*k/8 - 3/2 = 0. Calculate k.
-4, -1/39
Determine d, given that -2*d**5 - 14*d**4 - 14*d**3 + 46*d**2 + 16*d - 32 = 0.
-4, -1, 1
Factor -2*x**2/5 - 752*x/5.
-2*x*(x + 376)/5
Factor -s**3/2 - 55*s**2/2 - 27*s.
-s*(s + 1)*(s + 54)/2
Solve -3*b**2 - 63*b = 0 for b.
-21, 0
Find c such that 3*c**5/7 - 3*c**4 + 54*c**3/7 - 66*c**2/7 + 39*c/7 - 9/7 = 0.
1, 3
Determine d, given that -4*d**3/7 + 328*d**2/7 + 332*d/7 = 0.
-1, 0, 83
Factor 2*b**3/3 + 14*b**2/3 - 16*b - 120.
2*(b - 5)*(b + 6)**2/3
Factor -6*u**2 - 351*u/7 + 186/7.
-3*(2*u - 1)*(7*u + 62)/7
Factor -3*o**3/8 - 87*o**2/8 - 117*o/4.
-3*o*(o + 3)*(o + 26)/8
Factor 4*r**3 - 208*r**2 + 784*r - 768.
4*(r - 48)*(r - 2)**2
Factor 4*z**4/7 + 32*z**3/7 - 4*z**2/7 - 32*z/7.
4*z*(z - 1)*(z + 1)*(z + 8)/7
Suppose u**3/2 + 94*u**2 + 373*u/2 + 93 = 0. What is u?
-186, -1
Solve 15*c**3 - 65*c**2 - 55*c + 25 = 0.
-1, 1/3, 5
Solve -d**3/11 - 34*d**2/11 + 80*d/11 + 288/11 = 0 for d.
-36, -2, 4
Factor 2*y**5/17 - 40*y**4/17 + 74*y**3/17 - 36*y**2/17.
2*y**2*(y - 18)*(y - 1)**2/17
Factor 4*t**3 - 64*t**2 - 156*t + 216.
4*(t - 18)*(t - 1)*(t + 3)
Determine b, given that -3*b**5/7 + 453*b**4/7 - 2598*b**3 + 81222*b**2/7 - 44019*b/7 - 143883/7 = 0.
-1, 3, 73
Factor -2*o**5 - 2*o**4 + 4*o**3.
-2*o**3*(o - 1)*(o + 2)
Find z, given that -3*z**5 + 9*z**4 + 9*z**3 - 21*z**2 - 18*z = 0.
-1, 0, 2, 3
Find t such that -8*t**4/3 - 22*t**3/3 + 18*t**2 + 52*t/3 - 16/3 = 0.
-4, -1, 1/4, 2
Determine j, given that 2*j**4/11 - 18*j**3/11 + 54*j**2/11 - 54*j/11 = 0.
0, 3
Factor -3*z**5 + 9*z**4 + 156*z**3 + 480*z**2 + 576*z + 240.
-3*(z - 10)*(z + 1)*(z + 2)**3
Factor u**4/3 - 15260*u**3/3 + 29108450*u**2 - 222097473500*u/3 + 211825465350625/3.
(u - 3815)**4/3
Determine z, given that 7875125*z**5/3 + 2616675*z**4 - 7900205*z**3/3 - 7850005*z**2/3 + 8360*z - 20/3 = 0.
-1, 2/1255, 1
Let -19*u**2 + 73*u + 92 = 0. What is u?
-1, 92/19
What is l in -8*l**3 + 36*l**2 - 48*l + 16 = 0?
1/2, 2
Determine o, given that -4*o**5 + 8*o**4 + 4*o**3 - 8*o**2 = 0.
-1, 0, 1, 2
Suppose 2*g**5/7 + 64*g**4/7 + 72*g**3 - 256*g**2/7 - 2048*g/7 = 0. Calculate g.
-16, -2, 0, 2
Factor -22*b**5/7 - 4*b**4 - 6*b**3/7.
-2*b**3*(b + 1)*(11*b + 3)/7
Suppose 2*o**4/7 + 2*o**3 - 234*o**2/7 + 810*o/7 - 864/7 = 0. What is o?
-16, 3
What is c in -c**2 - 94*c + 95 = 0?
-95, 1
Factor 15*w**2/2 - 459*w/2 - 93.
3*(w - 31)*(5*w + 2)/2
Let 5*w**5 + 20*w**4 - 95*w**3 + 70*w**2 = 0. What is w?
-7, 0, 1, 2
Solve -2*g**2/3 + 464*g - 80736 = 0 for g.
348
Solve h**3/10 - 176*h**2/5 + 6265*h/2 - 6125 = 0 for h.
2, 175
Find p such that -45*p**4 - 35*p**3 + 55*p**2 + 35*p - 10 = 0.
-1, 2/9, 1
Factor 4*x**4 + 296*x**3 + 576*x**2.
4*x**2*(x + 2)*(x + 72)
Solve 5*w**5 + 15*w**4 - 10*w**3 - 30*w**2 + 5*w + 15 = 0.
-3, -1, 1
Factor 3*n**3 - 150*n**2 + 2016*n - 3456.
3*(n - 24)**2*(n - 2)
Suppose -2*m**2/3 - 3044*m/3 - 1158242/3 = 0. What is m?
-761
Factor h**2/5 - 17*h/5 + 16/5.
(h - 16)*(h - 1)/5
Factor 4*m**4/7 - 48*m**3/7 - 780*m**2/7 - 22