40*v**3 + 2875*v**2 - 240*v - 2880 = 0.
-24, -1, 1
Suppose -100*g**3 - 2120*g**2 - 2436*g - 720 = 0. What is g?
-20, -3/5
Determine a, given that 2*a**4/17 + 44*a**3/17 - 6*a**2/17 - 8*a - 88/17 = 0.
-22, -1, 2
Factor -4*v**5 - 148*v**4 + 640*v**3 - 656*v**2.
-4*v**2*(v - 2)**2*(v + 41)
Factor 2*t**2/3 - 18*t + 52/3.
2*(t - 26)*(t - 1)/3
Find o, given that -3*o**2 - 69*o = 0.
-23, 0
Let s**2/5 + 1104*s/5 + 304704/5 = 0. What is s?
-552
Factor 3*b**4/2 + 30*b**3 + 447*b**2/2 + 735*b + 900.
3*(b + 4)*(b + 5)**2*(b + 6)/2
Factor 188*x**3/7 + 1684*x**2/7 + 1432*x/7 - 64/7.
4*(x + 1)*(x + 8)*(47*x - 2)/7
Factor -k**2 - 13*k - 36.
-(k + 4)*(k + 9)
Let -2*t**2 - 2056*t - 2054 = 0. What is t?
-1027, -1
Determine f, given that -2*f**4 + 9*f**3 - 8*f**2 - 9*f + 10 = 0.
-1, 1, 2, 5/2
Determine u, given that 2*u**3/5 - 132*u**2/5 - 1152*u/5 - 2368/5 = 0.
-4, 74
Factor k**2 - 12*k.
k*(k - 12)
Find s, given that -s**2/6 + 11*s/3 + 23/6 = 0.
-1, 23
Find z such that z**2/5 + 32*z + 1280 = 0.
-80
Factor 2*f**2/5 - 105*f + 262/5.
(f - 262)*(2*f - 1)/5
Find d, given that d**4 + 2*d**3 - d**2 - 2*d = 0.
-2, -1, 0, 1
Find o such that 27*o**5/4 - 57*o**4/2 + 159*o**3/4 - 21*o**2 + 3*o = 0.
0, 2/9, 1, 2
Find z such that 2*z**4/3 - 1546*z**3/9 + 854*z**2/3 - 170*z/3 - 512/9 = 0.
-1/3, 1, 256
Factor -3*v**3 - 21*v**2 + 147*v + 1029.
-3*(v - 7)*(v + 7)**2
Suppose -21*l**3 + 249*l**2 - 915*l + 975 = 0. Calculate l.
13/7, 5
Determine r, given that 3*r**5 + 93*r**4 + 681*r**3 + 1095*r**2 + 504*r = 0.
-21, -8, -1, 0
Solve 3*q**4/4 - 15*q**3/2 + 6*q**2 + 120*q - 288 = 0.
-4, 4, 6
Let 2*q**2 + 46*q + 180 = 0. What is q?
-18, -5
Factor -4*y**2 + 196*y - 192.
-4*(y - 48)*(y - 1)
What is n in n**5/2 + 37*n**4/2 - 41*n**3/2 - 109*n**2/2 + 94*n - 38 = 0?
-38, -2, 1
Factor -14*d**3/3 - 341*d**2/3 - 712*d - 240.
-(d + 12)**2*(14*d + 5)/3
What is v in -v**5/3 + 16*v**4/3 - 28*v**3/3 - 2*v**2/3 + 29*v/3 - 14/3 = 0?
-1, 1, 14
Factor -c**3/5 - 2*c**2/5 + c + 6/5.
-(c - 2)*(c + 1)*(c + 3)/5
Factor -2*s**2/9 + 14*s/9 + 80/3.
-2*(s - 15)*(s + 8)/9
Determine p, given that 3*p**5 + 3*p**4 - 24*p**3 - 24*p**2 + 48*p + 48 = 0.
-2, -1, 2
Suppose 3*o**2 - 1484*o - 495 = 0. What is o?
-1/3, 495
Suppose -w**5/7 - 9*w**4/7 + w**3/7 + 9*w**2/7 = 0. Calculate w.
-9, -1, 0, 1
Suppose -26*j**5 - 180*j**4 - 168*j**3 + 404*j**2 - 30*j = 0. Calculate j.
-5, -3, 0, 1/13, 1
Let -a**5/3 - 4*a**4 + 44*a**3/3 - 6*a**2 - 43*a/3 + 10 = 0. What is a?
-15, -1, 1, 2
Find x such that x**3 - 67*x**2 + 66*x = 0.
0, 1, 66
Determine o, given that -17*o**2 - 14*o + 3 = 0.
-1, 3/17
Factor 3*g**3/7 - 207*g**2/7 + 405*g/7 - 201/7.
3*(g - 67)*(g - 1)**2/7
Factor t**3/6 + 3*t**2.
t**2*(t + 18)/6
Suppose -c**5/2 - 2*c**4 + 3*c**3/2 + 5*c**2 - 4*c = 0. What is c?
-4, -2, 0, 1
Factor s**4 + 14*s**3 + 24*s**2.
s**2*(s + 2)*(s + 12)
Suppose 2*q**5/13 - 2*q**4/13 - 6*q**3/13 + 2*q**2/13 + 4*q/13 = 0. What is q?
-1, 0, 1, 2
Determine o so that -9*o**3 + 768*o**2 + 6375*o + 3906 = 0.
-7, -2/3, 93
Factor 2*v**3/3 + 4*v**2/3 - 56*v - 240.
2*(v - 10)*(v + 6)**2/3
Suppose -x**5 + 488*x**4/3 - 899*x**3 + 4408*x**2/3 - 628*x = 0. What is x?
0, 2/3, 2, 3, 157
Factor o**4/6 - 9*o**3/2 + 85*o**2/2 - 1025*o/6 + 250.
(o - 12)*(o - 5)**3/6
Solve 5*x**5 - 70*x**4 + 140*x**3 + 290*x**2 - 145*x - 220 = 0.
-1, 1, 4, 11
Solve 3*f**3 + 96*f**2 + 348*f + 336 = 0 for f.
-28, -2
Factor -34*g**5 + 948*g**4 - 6552*g**3 - 784*g**2.
-2*g**2*(g - 14)**2*(17*g + 2)
Determine w, given that w**4/4 + 19*w**3/2 + 57*w**2 + 173*w/2 + 155/4 = 0.
-31, -5, -1
Factor 3*y**3 - 612*y**2 + 31815*y - 61206.
3*(y - 101)**2*(y - 2)
Factor -2*a**2/3 - 1378*a/3 + 460.
-2*(a - 1)*(a + 690)/3
Factor -y**2 - 7*y/2 + 11.
-(y - 2)*(2*y + 11)/2
Solve -3*h**5 - 81*h**4 + 186*h**3 + 324*h**2 - 696*h = 0.
-29, -2, 0, 2
Solve -2*z**4 + 24*z**3 + 28*z**2 - 24*z - 26 = 0 for z.
-1, 1, 13
Find j such that -20*j**5/9 - 358*j**4/9 - 1328*j**3/9 - 60*j**2 + 228*j - 78 = 0.
-13, -3, 1/2, 3/5
Solve p**5/5 + p**4/5 - 6*p**3/5 - 4*p**2/5 + 8*p/5 = 0.
-2, 0, 1, 2
Suppose -2*w**2/23 + 1718*w/23 - 1716/23 = 0. Calculate w.
1, 858
Factor -3*h**2 + 13668*h - 15567852.
-3*(h - 2278)**2
Solve q**2/2 + 123*q + 15129/2 = 0.
-123
Solve 2*m**4/5 + 86*m**3/5 + 166*m**2/5 + 82*m/5 = 0 for m.
-41, -1, 0
Factor -2*j**2/3 - 46*j/3 - 28.
-2*(j + 2)*(j + 21)/3
Suppose r**2 - 244*r = 0. Calculate r.
0, 244
Suppose -2*m**4/3 - 40*m**3/3 + 14*m**2 = 0. What is m?
-21, 0, 1
Factor 147*b**4/8 + 567*b**3/4 + 2019*b**2/8 - 81*b + 6.
3*(b + 4)**2*(7*b - 1)**2/8
Determine k, given that -k**3/7 - 2*k**2 - 7*k = 0.
-7, 0
Solve 2*l**5/7 - 2164*l**4/7 - 6504*l**3/7 - 6508*l**2/7 - 310*l = 0 for l.
-1, 0, 1085
Find m, given that 4*m**2 - 40*m + 64 = 0.
2, 8
Suppose -24*d**4 - 183*d**3 - 432*d**2 - 243*d + 162 = 0. What is d?
-3, -2, 3/8
Find i such that -6*i**3/5 + 118*i**2/5 - 74*i/5 - 38/5 = 0.
-1/3, 1, 19
Factor g**3/4 + 203*g**2/4 + 403*g/4 + 201/4.
(g + 1)**2*(g + 201)/4
Factor -3*z**2 - 48*z - 45.
-3*(z + 1)*(z + 15)
Let t**3 + 149*t**2/4 - 275*t/4 - 39/2 = 0. What is t?
-39, -1/4, 2
Factor -g**3/4 + 77*g**2/2 - 1520*g + 2888.
-(g - 76)**2*(g - 2)/4
Factor -2*h**2/9 - 146*h/9 - 16.
-2*(h + 1)*(h + 72)/9
Determine j, given that 2*j**4/7 + 118*j**3/7 + 272*j**2 + 672*j = 0.
-28, -3, 0
Factor -f**2/5 + 9*f/5 - 8/5.
-(f - 8)*(f - 1)/5
Solve -15*x**3/2 - 265*x**2/3 - 125*x/2 + 55/3 = 0.
-11, -1, 2/9
Let 35*t**4 + 920*t**3 + 1975*t**2 + 1330*t + 240 = 0. Calculate t.
-24, -1, -2/7
Factor 4*k**4 + 60*k**3 + 144*k**2 - 16*k - 192.
4*(k - 1)*(k + 2)**2*(k + 12)
Solve -9*i**5/4 - i**4/2 + 9*i**3/4 + i**2/2 = 0 for i.
-1, -2/9, 0, 1
Let 2*s**2/3 - 38*s + 220/3 = 0. Calculate s.
2, 55
Solve -2*j**2/7 - 716*j/7 - 64082/7 = 0.
-179
Suppose -54*l**5/5 - 426*l**4 - 67454*l**3/15 - 29174*l**2/5 - 9728*l/5 - 2888/15 = 0. Calculate l.
-19, -1, -2/9
Determine n so that n**2/3 + 496*n/3 + 61504/3 = 0.
-248
Determine m so that -5*m**5 - 165*m**4 - 2080*m**3 - 12160*m**2 - 30720*m - 20480 = 0.
-8, -1
Determine q, given that -q**4 - 9*q**3 + 21*q**2 - 11*q = 0.
-11, 0, 1
Factor -4*b**3 - 9*b**2 + 10*b + 3.
-(b - 1)*(b + 3)*(4*b + 1)
Determine z, given that -12*z**4 - 502*z**3 - 386*z**2 + 976*z - 328 = 0.
-41, -2, 1/2, 2/3
Factor 5*b**5 + 5*b**4 - 45*b**3 + 55*b**2 - 20*b.
5*b*(b - 1)**3*(b + 4)
What is y in y**5 - 8*y**4 + 13*y**3 + 22*y**2 - 32*y - 32 = 0?
-1, 2, 4
Factor 5*s**4 - 15*s**3 - 15*s**2 + 35*s + 30.
5*(s - 3)*(s - 2)*(s + 1)**2
Factor 3*k**2/5 + 2610*k + 2838375.
3*(k + 2175)**2/5
Solve 6*z**5/11 - 26*z**4/11 + 24*z**3/11 = 0.
0, 4/3, 3
Solve 10*q**3 + 62*q**2 = 0.
-31/5, 0
Factor -v**3/5 - 453*v**2/5 - 10395*v - 30375.
-(v + 3)*(v + 225)**2/5
Factor -5*k**3 - 510*k**2 - 1980*k - 1960.
-5*(k + 2)**2*(k + 98)
Factor 75*g**3/2 - 32*g**2 - 161*g/2 - 11.
(g - 2)*(g + 1)*(75*g + 11)/2
Suppose 3*a**3 + 123*a**2 + 1056*a - 4356 = 0. What is a?
-22, 3
Find c such that -18*c**4 + 21*c**3 + 18*c**2 - 21*c = 0.
-1, 0, 1, 7/6
What is w in -4*w**4 + 584*w**3 - 19488*w**2 - 133760*w - 184832 = 0?
-4, -2, 76
Suppose 5*b**3 + 180*b**2 + 975*b - 1160 = 0. What is b?
-29, -8, 1
Let 13*a**5/2 - 171*a**4/2 - 91*a**3 + 198*a**2 - 28*a = 0. Calculate a.
-2, 0, 2/13, 1, 14
Determine l, given that -l**5 + 26*l**4 - 184*l**3 - 80*l**2 + 2800*l + 4000 = 0.
-2, 10
Let -x**4 + 26*x**3 + 84*x**2 + 86*x + 29 = 0. Calculate x.
-1, 29
Factor 48*r**5 - 552*r**4 + 2019*r**3 - 1956*r**2 - 1392*r - 192.
3*(r - 4)**3*(4*r + 1)**2
What is s in 3*s**5 + 3*s**4 - 33*s**3 + 21*s**2 + 30*s - 24 = 0?
-4, -1, 1, 2
Factor -3*l**3/8 + 1773*l**2/8 + 891*l/4 - 444.
-3*(l - 592)*(l - 1)*(l + 2)/8
Factor 625*z**3 + 2450*z**2 - 199*z + 4.
(z + 4)*(25*z - 1)**2
Factor 6*k**4 - 56*k**3 + 152*k**2 - 64*k - 128.
2*(k - 4)**2*(k - 2)*(3*k + 2)
Determine k so that -k**2/8 - 50*k - 399/8 = 0.
-399, -1
Find j, given that -2*j**5/15 - 2*j**4/5 + 12*j**3/5 + 36*j**2/5 - 54*j/5 - 162/5 = 0.
-3, 3
Suppose -2*u**5/3 - 4*u**4 - 8*u**3 - 20*u**2/3 - 2*u = 0. What is u?
-3, -1, 0
Find u, given that 27*u**3 + 87*u**2 + 18*u = 0.
-3, -2/9, 0
Solve f**4/2 + 748*f**3 + 279003*f**2 - 560252*f + 561001/2 = 0 for f.
-749, 1
Factor -2*t**2/5 + 52*t/5.
-2*t*(t - 26)/5
Factor 3*g**3 - 2313*g**2 + 4617*g - 2307.
3*(g - 769)*(g - 1)**2
Factor -3*r**5 - 3*r**4 + 18*r**3.
-3*r**3*(r - 2)*(r + 3)
Solve 3*i