4*z**2 - 68*z - 24 = 0.
-3, -2, -1
Factor 6*a**4 - 8*a**3 - 178*a**2 + 60*a.
2*a*(a - 6)*(a + 5)*(3*a - 1)
Find f such that -5*f**3 + 5*f**2 = 0.
0, 1
What is m in -m**3 - 37*m**2 - 391*m - 867 = 0?
-17, -3
Suppose h**2/4 + 131*h/4 = 0. Calculate h.
-131, 0
Solve a**2/5 + 3077*a/5 - 3078/5 = 0 for a.
-3078, 1
Find y, given that 3*y**4/7 - 3*y**3 - 237*y**2/7 + 3*y + 234/7 = 0.
-6, -1, 1, 13
Factor -3*c**3/5 - 134*c**2/5 - 217*c/5 - 86/5.
-(c + 1)*(c + 43)*(3*c + 2)/5
Factor 3*q**3 - 3144*q**2 + 3135*q + 6282.
3*(q - 1047)*(q - 2)*(q + 1)
Determine s so that s**2 + 154*s + 153 = 0.
-153, -1
What is a in 2*a**2 - 74*a/3 - 52/3 = 0?
-2/3, 13
Let -4*u**5 + 8640*u**4 + 8648*u**3 - 8640*u**2 - 8644*u = 0. Calculate u.
-1, 0, 1, 2161
Solve 16*l**2 + 312*l + 1521 = 0 for l.
-39/4
Solve 4*b**4 - 56*b**3 + 252*b**2 - 424*b + 224 = 0.
1, 2, 4, 7
Factor 5*i**5 - 5*i**4 - 30*i**3 - 10*i**2 + 25*i + 15.
5*(i - 3)*(i - 1)*(i + 1)**3
Factor 2*b**3/15 - 18*b/5 + 36/5.
2*(b - 3)**2*(b + 6)/15
Find x such that -3*x**3/4 - 9*x**2/4 + 3 = 0.
-2, 1
Factor k**3 - 176*k**2 - 355*k - 178.
(k - 178)*(k + 1)**2
Let 9*p**5/4 - 1575*p**4/4 - 3181*p**3/4 - 893*p**2/4 + 353*p + 177 = 0. What is p?
-1, -2/3, 2/3, 177
Factor 2*x**4 + 316*x**3 + 12162*x**2 - 25280*x + 12800.
2*(x - 1)**2*(x + 80)**2
What is l in -5*l**4 + 505*l**3 + 1565*l**2 - 505*l - 1560 = 0?
-3, -1, 1, 104
Determine v so that 5*v**5 + 40*v**4 - 10*v**3 - 80*v**2 + 5*v + 40 = 0.
-8, -1, 1
Find u, given that 2*u**2/5 + 8*u/5 - 24 = 0.
-10, 6
Find s such that -2*s**5 - 7*s**4 + 11*s**3 + 61*s**2 + 63*s + 18 = 0.
-3, -2, -1, -1/2, 3
Factor a**5 + 49*a**4 + 750*a**3 + 3726*a**2 + 6993*a + 3969.
(a + 1)*(a + 3)**2*(a + 21)**2
Factor 3*t**3/7 + 27*t**2/7 - 108*t/7.
3*t*(t - 3)*(t + 12)/7
Factor r**2/4 - 15*r/2 - 351/4.
(r - 39)*(r + 9)/4
Suppose -33*g**5/5 - 27*g**4/5 + 138*g**3/5 + 108*g**2/5 - 24*g/5 = 0. What is g?
-2, -1, 0, 2/11, 2
Factor -2*i**3/5 - 94*i**2/5 - 174*i/5 + 54.
-2*(i - 1)*(i + 3)*(i + 45)/5
Solve 2*x**5 + 14*x**4 + 6*x**3 - 86*x**2 - 56*x + 120 = 0 for x.
-5, -3, -2, 1, 2
Factor 3*w**4/5 + 3*w**3/5 - 51*w**2/5 + 9*w.
3*w*(w - 3)*(w - 1)*(w + 5)/5
Factor 45*i**3/4 - 420*i**2 + 545*i - 180.
5*(i - 36)*(3*i - 2)**2/4
Solve 8*c**3/3 - 46*c**2/9 + 20*c/9 + 2/9 = 0 for c.
-1/12, 1
Factor 2*f**3/3 - 40*f**2/3 - 56*f/3 + 3136/3.
2*(f - 14)**2*(f + 8)/3
Solve 51*a**4 + 261*a**3 + 438*a**2 + 252*a + 24 = 0 for a.
-2, -1, -2/17
Let -2*l**3/11 + 688*l**2/11 - 2038*l/11 - 248 = 0. Calculate l.
-1, 4, 341
Determine f so that -4*f**2/3 + 80*f/3 - 48 = 0.
2, 18
Find s such that -3*s**5 + 114*s**4 - 207*s**3 - 324*s**2 = 0.
-1, 0, 3, 36
Find u such that 2*u**2/15 - 260*u/3 + 42250/3 = 0.
325
Find d such that -d**5/4 - 3*d**4/4 + d**3/4 + 3*d**2/4 = 0.
-3, -1, 0, 1
Solve -4*i**2 - 284*i - 280 = 0.
-70, -1
Factor 3*h**3 - 126*h**2 + 240*h.
3*h*(h - 40)*(h - 2)
Factor 5*x**3 - 10*x**2.
5*x**2*(x - 2)
Determine v, given that -3*v**2 - 57*v - 180 = 0.
-15, -4
Find c such that -13*c**2/3 + 89*c/3 + 34 = 0.
-1, 102/13
Factor -h**4/7 - 332*h**3/7 - 41334*h**2/7 - 2287148*h/7 - 47458321/7.
-(h + 83)**4/7
Solve -2*x**5/5 - 6*x**4/5 + 22*x**3 - 274*x**2/5 + 252*x/5 - 16 = 0.
-10, 1, 4
Factor -2*t**2/11 - 776*t/11 + 3136/11.
-2*(t - 4)*(t + 392)/11
Factor -4*r**4/5 + 32*r**3/5 - 84*r**2/5 + 72*r/5.
-4*r*(r - 3)**2*(r - 2)/5
Factor c**3/3 - 196*c**2 + 38416*c - 7529536/3.
(c - 196)**3/3
Factor -z**3 + 37*z**2/5 + 136*z/5 - 12.
-(z - 10)*(z + 3)*(5*z - 2)/5
Factor -o**2/2 - 196*o - 19208.
-(o + 196)**2/2
Factor -14*z**3/5 + 136*z**2/5 - 62*z - 20.
-2*(z - 5)**2*(7*z + 2)/5
Factor -5*h**2/2 - 45*h/2 - 20.
-5*(h + 1)*(h + 8)/2
Determine z, given that -z**2/9 - 13*z/9 + 10/3 = 0.
-15, 2
Factor -200*a**2 + 955*a - 350.
-5*(5*a - 2)*(8*a - 35)
Find t, given that -5*t**5/3 - 50*t**4/3 + 5*t**3/3 + 50*t**2/3 = 0.
-10, -1, 0, 1
Factor 2*m**3 - 7*m**2 + 3*m.
m*(m - 3)*(2*m - 1)
Factor 3*y**2/4 - 9*y/4 - 30.
3*(y - 8)*(y + 5)/4
Factor 50*k**3 - 615*k**2.
5*k**2*(10*k - 123)
What is t in 2*t**2/13 - 16*t - 210/13 = 0?
-1, 105
Let -k**2 + 22*k + 23 = 0. Calculate k.
-1, 23
Factor 3*y**3/2 - 1089*y**2.
3*y**2*(y - 726)/2
Factor -3*k**2/4 - 27*k/4 - 21/2.
-3*(k + 2)*(k + 7)/4
Factor p**4 + 26*p**3 + 24*p**2 - 26*p - 25.
(p - 1)*(p + 1)**2*(p + 25)
Solve 16*f**5 + 108*f**4 - 28*f**3 = 0.
-7, 0, 1/4
Solve -2*r**2/15 + 574*r/15 = 0.
0, 287
Find c, given that 3*c**3/5 - 21*c**2/5 - 63*c/5 + 81/5 = 0.
-3, 1, 9
Factor 3*r**2 + 715*r + 238.
(r + 238)*(3*r + 1)
Factor -2*j**2 - 44*j.
-2*j*(j + 22)
Determine a so that -a**3 - 11*a**2 + 40*a - 28 = 0.
-14, 1, 2
Factor -2*z**4/5 + 4*z**3 + 6*z**2/5 - 216*z/5.
-2*z*(z - 9)*(z - 4)*(z + 3)/5
Factor -12*p**3 - 297*p**2 - 213*p + 72.
-3*(p + 1)*(p + 24)*(4*p - 1)
Factor 3*t**4 - 12*t**3 - 213*t**2 - 198*t.
3*t*(t - 11)*(t + 1)*(t + 6)
Factor u**3 - 5*u**2.
u**2*(u - 5)
Determine a, given that 2*a**2/3 + 112*a/3 + 1568/3 = 0.
-28
Factor -m**2/2 - 275*m - 75625/2.
-(m + 275)**2/2
Let -x**4 - 212*x**3 - 11235*x**2 + 212*x + 11236 = 0. What is x?
-106, -1, 1
Suppose 4*w**3 - 16*w**2 - 44*w - 24 = 0. Calculate w.
-1, 6
Determine d, given that -d**5/3 - 50*d**4/3 + 53*d**3/3 + 34*d**2 = 0.
-51, -1, 0, 2
Solve -w**2/3 + 42*w - 351 = 0 for w.
9, 117
Factor -5*f**2 - 1700*f.
-5*f*(f + 340)
Determine y so that 40*y**4 + 12*y**3 - 120*y**2 - 116*y - 24 = 0.
-1, -3/10, 2
Factor 4*d**2/7 + 15168*d/7 + 14379264/7.
4*(d + 1896)**2/7
Find y such that -3*y**5 - 3*y**4 + 39*y**3 + 75*y**2 + 36*y = 0.
-3, -1, 0, 4
Factor -20*h**2 - 136*h - 96.
-4*(h + 6)*(5*h + 4)
Let 3*l**2 - 1356*l + 2700 = 0. Calculate l.
2, 450
Suppose 141*t**3/4 + 699*t**2/4 - 501*t + 21 = 0. What is t?
-7, 2/47, 2
Factor h**2/6 - 53*h/3 + 2809/6.
(h - 53)**2/6
Factor 4*h**3/5 + 92*h**2/5 + 88*h/5.
4*h*(h + 1)*(h + 22)/5
Find f, given that -f**5/5 + f**4/5 + 2*f**3/5 = 0.
-1, 0, 2
Find m, given that 2*m**5/7 + 24*m**4/7 + 76*m**3/7 + 104*m**2/7 + 66*m/7 + 16/7 = 0.
-8, -1
Factor -2*q**4/9 + 16*q**3/9 - 38*q**2/9 + 8*q/3.
-2*q*(q - 4)*(q - 3)*(q - 1)/9
Factor 9*w**3 - 105*w**2 + 156*w - 60.
3*(w - 10)*(w - 1)*(3*w - 2)
Suppose -2*j**3 + 4*j**2 + 42*j + 36 = 0. What is j?
-3, -1, 6
Let t**4 - 53*t**3 + 98*t**2 + 212*t - 408 = 0. Calculate t.
-2, 2, 51
Suppose 2*b**4/3 - 28*b**3/3 + 40*b**2/3 + 112*b/3 - 64 = 0. Calculate b.
-2, 2, 12
Solve -3*v**3 - 10*v**2 - v + 6 = 0.
-3, -1, 2/3
Factor 7*c**5 + 10*c**4 - 113*c**3 - 192*c**2 + 144*c.
c*(c - 4)*(c + 3)**2*(7*c - 4)
Factor 3*z**3 - 102*z**2 + 369*z - 270.
3*(z - 30)*(z - 3)*(z - 1)
Factor -g**4/7 - 488*g**3 - 625128*g**2 - 355906208*g - 75985975408.
-(g + 854)**4/7
Let -2809856*u**5 - 75264*u**4 - 672*u**3 - 2*u**2 = 0. Calculate u.
-1/112, 0
Find c, given that -c**2 + 1184*c - 350464 = 0.
592
Factor 3362*p**3 - 7052*p**2 + 664*p - 16.
2*(p - 2)*(41*p - 2)**2
Solve 3*g**4 - 17*g**3 + 21*g**2 - 3*g - 4 = 0 for g.
-1/3, 1, 4
Determine j so that -5*j**3/2 + 55*j**2/2 - 175*j/2 + 125/2 = 0.
1, 5
Let -n**2/2 + 17*n/2 + 55 = 0. Calculate n.
-5, 22
Solve g**5 + 38*g**4 + 332*g**3 + 970*g**2 + 675*g = 0 for g.
-27, -5, -1, 0
What is p in 4*p**5/7 + 24*p**4/7 + 36*p**3/7 - 16*p**2/7 - 48*p/7 = 0?
-3, -2, 0, 1
Let -3*r**4 + 33*r**2 + 54*r + 24 = 0. What is r?
-2, -1, 4
Suppose -v**2/5 + 122*v/5 + 248/5 = 0. What is v?
-2, 124
Let -2*n**3/5 + 56*n**2/5 + 142*n + 380 = 0. Calculate n.
-5, 38
What is f in -f**2/2 - 12*f + 440 = 0?
-44, 20
Suppose q**5 - 5*q**4 + 9*q**3 - 7*q**2 + 2*q = 0. Calculate q.
0, 1, 2
Factor -21*h**2 + 9255*h + 2646.
-3*(h - 441)*(7*h + 2)
Factor -2*c**2 + 20*c - 32.
-2*(c - 8)*(c - 2)
Solve -3*f**5 - 12*f**4 - 3*f**3 + 42*f**2 + 60*f + 24 = 0 for f.
-2, -1, 2
Let 6*j**3 + 8626*j**2/3 - 15400*j/3 - 3848/3 = 0. Calculate j.
-481, -2/9, 2
Factor -2*w**2 + 878*w/5 - 696/5.
-2*(w - 87)*(5*w - 4)/5
Factor -4*k**3 - 640*k**2.
-4*k**2*(k + 160)
Factor 2*q**5 + 26*q**4 + 96*q**3 + 136*q**2 + 64*q.
2*q*(q + 1)*(q + 2)**2*(q + 8)
Solve -5*y**4 - 5*y**3 + 60*y**2 - 20*y - 80 = 0.
-4, -1, 2
Solve -2*c**3/3 - 464*c**2/3 - 910*c - 1356 = 0 for c.
-226, -3
Find j, given that j**3 + 4*j**2 + 3*j = 0.
-3, -1, 0
Factor 2*h**3/5 + 68*h**2/5 - 8*h/5 - 272/5.
2*(h - 2)*(h + 2)*(h + 34)/5
Factor y**5 - 61*y**4 + 1198*y**3 - 6678*y**2 - 17199*y - 9261.
(y - 21)**3*(y + 1)**2
Let -419*m**2 - 8*m = 0. Calcula