r 12*t**3/5 + 39*t**2/5 + 33*t/5 + 6/5.
3*(t + 1)*(t + 2)*(4*t + 1)/5
Factor w**2 - 35*w + 216.
(w - 27)*(w - 8)
Factor 3*k**2 - 63*k.
3*k*(k - 21)
Factor -o**5 - o**4 + 2*o**3 + 2*o**2 - o - 1.
-(o - 1)**2*(o + 1)**3
Solve 4*m**5/5 + 8*m**4/5 - 16*m**3/5 - 32*m**2/5 = 0.
-2, 0, 2
Let -4*s**5 - 22*s**4 - 36*s**3 - 8*s**2 + 16*s = 0. Calculate s.
-2, 0, 1/2
Factor p**3 + 5*p**2 - 9*p - 45.
(p - 3)*(p + 3)*(p + 5)
Factor -x**2/4 + 5*x/4 - 3/2.
-(x - 3)*(x - 2)/4
Determine x so that x**5/6 + 4*x**4/3 - 7*x**3/2 - 4*x**2/3 + 10*x/3 = 0.
-10, -1, 0, 1, 2
Determine j, given that -3*j**3/2 + 57*j**2 - 651*j/2 = 0.
0, 7, 31
Factor 3*d**2 + 9084*d + 6876588.
3*(d + 1514)**2
Factor 8*a**2/11 + 130*a/11 + 32/11.
2*(a + 16)*(4*a + 1)/11
Factor u**3 + 508*u**2 + 62965*u - 396294.
(u - 6)*(u + 257)**2
Factor -4*u**2/3 + 201*u + 151/3.
-(u - 151)*(4*u + 1)/3
Solve 3*k**4 + 21*k**3 - 345*k**2 + 267*k + 630 = 0.
-15, -1, 2, 7
Solve -q**3 - 4*q**2 + 155*q - 150 = 0.
-15, 1, 10
Suppose 2*g**2/3 + 182*g - 548/3 = 0. What is g?
-274, 1
Factor a**2/7 - 10*a/7 - 24/7.
(a - 12)*(a + 2)/7
Suppose -4*o**4 + 8*o**3 + 128*o**2 + 120*o - 252 = 0. What is o?
-3, 1, 7
Determine m, given that -2*m**3 + 26*m**2 - 12*m - 144 = 0.
-2, 3, 12
Factor -5*y**5 + 55*y**4 - 50*y**3.
-5*y**3*(y - 10)*(y - 1)
Solve -2*k**5/7 + 10*k**3/7 - 8*k/7 = 0 for k.
-2, -1, 0, 1, 2
Factor 4*z**3 + 80*z**2 + 468*z + 648.
4*(z + 2)*(z + 9)**2
Solve -3*s**4/2 + 11*s**3/2 + 19*s**2/2 + 5*s/2 = 0.
-1, -1/3, 0, 5
Let 100*g**4/3 - 5260*g**3/3 + 8084*g**2/3 + 3868*g/3 + 136 = 0. What is g?
-1/5, 2, 51
Determine u, given that 64*u**4 - 10272*u**3 + 414724*u**2 - 205440*u + 25600 = 0.
1/4, 80
Factor 3*h**2 + 138*h - 141.
3*(h - 1)*(h + 47)
Let 4*d**4/5 - 136*d**3/5 + 1316*d**2/5 - 416*d/5 - 32448/5 = 0. Calculate d.
-4, 12, 13
Suppose 5*w**3 - 10*w**2 - 15*w = 0. Calculate w.
-1, 0, 3
Factor -5*n**4 + 9810*n**3 - 4801985*n**2 - 9633420*n - 4821620.
-5*(n - 982)**2*(n + 1)**2
Solve 5*k**4 + 1290*k**3 + 80585*k**2 - 337980*k + 343220 = 0 for k.
-131, 2
Find f, given that -f**4 + 21*f**3 - 132*f**2 + 304*f - 192 = 0.
1, 4, 12
Solve 3*r**4/5 - 2136*r**3/5 + 378066*r**2/5 + 762552*r/5 + 382347/5 = 0 for r.
-1, 357
Factor -26*b**3 + 103*b**2 - 100*b - 4.
-(b - 2)**2*(26*b + 1)
Factor g**5 - 24*g**4 + 22*g**3 + 24*g**2 - 23*g.
g*(g - 23)*(g - 1)**2*(g + 1)
Factor -i**3/8 + 123*i**2/8 - 5043*i/8 + 68921/8.
-(i - 41)**3/8
What is v in -v**5/4 + v**4/2 + v**3/2 - v**2 - v/4 + 1/2 = 0?
-1, 1, 2
Factor 2*h**2/13 - 20*h/13 - 150/13.
2*(h - 15)*(h + 5)/13
Factor -2*x**5/3 - 32*x**4/3 - 28*x**3 - 80*x**2/3 - 26*x/3.
-2*x*(x + 1)**3*(x + 13)/3
Suppose -q**5 + 16*q**4 = 0. What is q?
0, 16
Factor i**3/5 + 2021*i**2/5 - i/5 - 2021/5.
(i - 1)*(i + 1)*(i + 2021)/5
Find v, given that -2*v**5/5 - 12*v**4/5 - 26*v**3/5 - 24*v**2/5 - 8*v/5 = 0.
-2, -1, 0
Factor -3*o**2/5 + 30*o - 375.
-3*(o - 25)**2/5
What is h in -2*h**3 + 108*h**2 - 1944*h + 11664 = 0?
18
Solve 2*r**2 - 32*r + 56 = 0 for r.
2, 14
Find g such that -4*g**3 + 84*g**2 - 576*g + 1296 = 0.
6, 9
Find s, given that 5*s**2/4 - 75*s/2 + 70 = 0.
2, 28
Solve o**5/3 + 2*o**4 + o**3/3 - 8*o**2 + 16*o/3 = 0.
-4, 0, 1
Factor -12*f**3/13 + 22*f**2/13 + 4*f/13.
-2*f*(f - 2)*(6*f + 1)/13
Factor -15*v**2 + 144*v - 81.
-3*(v - 9)*(5*v - 3)
Factor 9*u**4 - 39*u**3 - 174*u**2 + 504*u.
3*u*(u - 6)*(u + 4)*(3*u - 7)
Suppose -2*v**3 + 38*v**2 + 232*v + 192 = 0. What is v?
-4, -1, 24
Factor 25*l**5 + 85*l**4/2 + 10*l**3 - 15*l**2/2.
5*l**2*(l + 1)**2*(10*l - 3)/2
Factor 5*u**2 + 65*u + 60.
5*(u + 1)*(u + 12)
Factor 2*d**5 - 12*d**4 + 22*d**3 - 12*d**2.
2*d**2*(d - 3)*(d - 2)*(d - 1)
Factor f**2 - 497*f - 998.
(f - 499)*(f + 2)
Find j, given that -5*j**3 + 205*j**2 + 1150*j = 0.
-5, 0, 46
Suppose 3*w**3/7 - 48*w**2/7 + 36*w - 432/7 = 0. Calculate w.
4, 6
Determine q, given that 4*q**5 - 24*q**4 + 36*q**3 + 16*q**2 - 48*q = 0.
-1, 0, 2, 3
What is i in -i**4 - 14*i**3 + 31*i**2 - 16*i = 0?
-16, 0, 1
Suppose 5*m**4 - 3*m**3 - 15*m**2 + 19*m - 6 = 0. What is m?
-2, 3/5, 1
Solve -2*p**5/7 + 2*p**4 - 30*p**3/7 + 10*p**2/7 + 32*p/7 - 24/7 = 0.
-1, 1, 2, 3
Suppose -5*n**5 + 252*n**4 - 4182*n**3 + 21964*n**2 + 14739*n = 0. Calculate n.
-3/5, 0, 17
Suppose -w**2 + 51*w - 50 = 0. What is w?
1, 50
Factor -q**4 + 1406*q**3 - 497013*q**2 + 1971212*q - 1965604.
-(q - 701)**2*(q - 2)**2
Determine z, given that -2*z**2 - 228*z - 226 = 0.
-113, -1
Factor -3*f**5 - 99*f**4 - 447*f**3 - 777*f**2 - 594*f - 168.
-3*(f + 1)**3*(f + 2)*(f + 28)
What is p in -p**3/7 - 25*p**2/7 - 106*p/7 - 120/7 = 0?
-20, -3, -2
Factor 2*z**5/15 + 2*z**4/3 - 16*z**2/3 - 32*z/3 - 32/5.
2*(z - 3)*(z + 2)**4/15
What is o in o**2/6 - 73*o/2 + 109/3 = 0?
1, 218
Factor 15*v**3 - 760*v**2 - 1060*v + 1040.
5*(v - 52)*(v + 2)*(3*v - 2)
Factor -w**4 - 12*w**3 - 30*w**2 - 28*w - 9.
-(w + 1)**3*(w + 9)
Suppose -46875*b**4 + 186375*b**3 - 732027*b**2/4 - 4473*b - 27 = 0. Calculate b.
-3/250, 2
Suppose f**3/4 - 27*f**2 + 107*f/4 = 0. What is f?
0, 1, 107
Solve -4*g**4 - 238*g**3/3 - 64*g**2 - 38*g/3 = 0.
-19, -1/2, -1/3, 0
What is l in -15*l**4 - 81*l**3 + 1230*l**2 + 504*l = 0?
-12, -2/5, 0, 7
Factor -2*j**2 + 20*j + 1632.
-2*(j - 34)*(j + 24)
What is g in 3528*g**4/5 - 41496*g**3/5 + 109586*g**2/5 + 73112*g/5 + 10952/5 = 0?
-2/7, 37/6
Determine w, given that w**4/6 - 19*w**3/6 + 25*w**2/3 - 16*w/3 = 0.
0, 1, 2, 16
Factor 2*z**4 + 10*z**3 - 2*z**2 - 10*z.
2*z*(z - 1)*(z + 1)*(z + 5)
Solve 9*r**4/2 + 24*r**3 + 87*r**2/2 + 30*r + 6 = 0 for r.
-2, -1, -1/3
Factor -4*q**2 + 240*q + 244.
-4*(q - 61)*(q + 1)
Factor -b**2/2 + b.
-b*(b - 2)/2
Solve -2*v**2/3 + 2*v - 4/3 = 0 for v.
1, 2
Solve 15*l**5 - 141*l**4 + 234*l**3 + 1128*l**2 - 3360*l + 1152 = 0.
-3, 2/5, 4
Let -2*c**2 - 1404*c - 2800 = 0. What is c?
-700, -2
Factor 2*c**2/9 + 2*c/9 - 4/9.
2*(c - 1)*(c + 2)/9
Find y, given that 2*y**5/13 + 2*y**4/13 - 24*y**3/13 - 56*y**2/13 - 32*y/13 = 0.
-2, -1, 0, 4
Solve -98*d**4 + 840*d**3 + 426*d**2 - 440*d + 72 = 0.
-1, 2/7, 9
Let 5*p**5 + 210*p**4 + 2940*p**3 + 13720*p**2 = 0. What is p?
-14, 0
Factor -2*d**5 + 4*d**4 + 16*d**3 + 4*d**2 - 14*d - 8.
-2*(d - 4)*(d - 1)*(d + 1)**3
Let -q**4/2 - 244*q**3 - 484*q**2 + 976*q + 1944 = 0. Calculate q.
-486, -2, 2
Factor 2*j**3 + 16*j**2 - 96*j.
2*j*(j - 4)*(j + 12)
Factor h**2/3 - 32*h/3 - 11.
(h - 33)*(h + 1)/3
Determine b so that 3*b**5 - 258*b**4 + 5544*b**3 + 258*b**2 - 5547*b = 0.
-1, 0, 1, 43
Suppose 2*x**4/9 - 38*x**3/3 + 430*x**2/9 - 106*x/3 = 0. What is x?
0, 1, 3, 53
Factor -2*w**4/7 + 1090*w**3/7 - 149056*w**2/7 + 147968*w/7.
-2*w*(w - 272)**2*(w - 1)/7
Factor -m**5 + 2*m**4 + 26*m**3 - 81*m + 54.
-(m - 6)*(m - 1)**2*(m + 3)**2
Solve -2*u**3/3 + 134*u**2/3 + 416*u/3 + 280/3 = 0.
-2, -1, 70
Determine i so that 3*i**3 - 24*i**2 + 15*i + 42 = 0.
-1, 2, 7
Factor -2*y**5/7 + 2*y**4/7 + 4*y**3/7 - 4*y**2/7 - 2*y/7 + 2/7.
-2*(y - 1)**3*(y + 1)**2/7
Factor o**4/5 - 4*o**3/5 - 12*o**2/5.
o**2*(o - 6)*(o + 2)/5
Determine t, given that -169*t**3/5 - 26*t**2/5 + 96*t - 288/5 = 0.
-2, 12/13
Factor -2*k**2/5 + 988*k/5.
-2*k*(k - 494)/5
Factor -g**3/2 + 79*g**2/2.
-g**2*(g - 79)/2
Let 8*p**4/7 - 6*p**3/7 - 72*p**2/7 + 54*p/7 = 0. What is p?
-3, 0, 3/4, 3
Let 3*a**3 - 6*a**2 - 39*a - 30 = 0. What is a?
-2, -1, 5
Suppose 3*j**5/2 + 69*j**4/2 + 417*j**3/2 + 411*j**2/2 - 1020*j - 1050 = 0. What is j?
-14, -5, -1, 2
Factor -4*w**4 + 56*w**3 - 276*w**2 + 544*w - 320.
-4*(w - 5)*(w - 4)**2*(w - 1)
Find g such that -g**2/6 + g/2 - 1/3 = 0.
1, 2
Factor -3*u**2 - 33*u + 78.
-3*(u - 2)*(u + 13)
Factor -3*k**2/5 - 318*k/5 - 8427/5.
-3*(k + 53)**2/5
Solve 4*t**5 - 16*t**4 - 52*t**3 + 160*t**2 + 192*t = 0 for t.
-3, -1, 0, 4
Factor 2*l**3 + 104*l**2 + 802*l + 1204.
2*(l + 2)*(l + 7)*(l + 43)
Factor 2*a**3 - 38*a**2 - 90*a + 126.
2*(a - 21)*(a - 1)*(a + 3)
What is b in -1064*b**3 + 250*b**2 + 4*b = 0?
-2/133, 0, 1/4
Suppose -16*i**5 + 272*i**4 - 180*i**3 - 1160*i**2 - 884*i - 192 = 0. What is i?
-1, -1/2, 3, 16
Determine a so that 30*a**3/7 - 64*a**2 + 398*a/7 - 12 = 0.
1/3, 3/5, 14
Solve -6*o**2/7 + 90*o/7 - 216/7 = 0 for o.
3, 12
Factor 4*v**4 + 44*v**3 + 96*v**2 - 16*v - 128.
4*(v - 1)*(v + 2)**2*(v + 8)
Solve -2*o**5/3 + 326*o**4/9 + 898*o**3/9 + 794*o**2/9 + 76*o/3 = 0.
-1, -2/3, 0, 57
Solve y**3/2 - 253*y**2/2 + 498*y 