at is x?
-4, 1, 22
Let 2*x**2 - 194*x + 192 = 0. Calculate x.
1, 96
What is j in -4*j**3 + 84*j**2 + 180*j + 92 = 0?
-1, 23
Solve 2*z**3 + 58*z**2/5 + 38*z/5 - 2 = 0 for z.
-5, -1, 1/5
Factor 36*m**2 + 112*m + 12.
4*(m + 3)*(9*m + 1)
What is x in -x**3/5 - 12*x**2 + 61*x/5 = 0?
-61, 0, 1
Factor 3*n**4 + 81*n**3 - 456*n**2 + 756*n - 384.
3*(n - 2)**2*(n - 1)*(n + 32)
What is h in 2*h**2 + 92*h + 336 = 0?
-42, -4
Suppose -2*o**2/7 + 1628*o/7 - 331298/7 = 0. What is o?
407
Suppose -2*l**5/3 - 94*l**4/9 - 214*l**3/9 - 74*l**2/9 + 52*l/9 = 0. Calculate l.
-13, -2, -1, 0, 1/3
What is n in 3*n**4 - 3*n**3 - 51*n**2 + 63*n + 108 = 0?
-4, -1, 3
Factor -4*l**3 + 684*l**2 - 31488*l + 188272.
-4*(l - 82)**2*(l - 7)
Factor 2*r**2 - 198*r + 388.
2*(r - 97)*(r - 2)
Factor 2*c**5/9 - 4*c**3/9 + 2*c/9.
2*c*(c - 1)**2*(c + 1)**2/9
Factor -z**5/3 - 16*z**4/3 - 5*z**3.
-z**3*(z + 1)*(z + 15)/3
Factor 5*t**4 - 35*t**3 + 60*t**2.
5*t**2*(t - 4)*(t - 3)
Factor -5*g**3 + 20*g**2 - 25*g + 10.
-5*(g - 2)*(g - 1)**2
Find j such that -8*j**5/7 - 50*j**4/7 - 12*j**3 - 50*j**2/7 - 8*j/7 = 0.
-4, -1, -1/4, 0
Factor 5*q**3 - 125*q**2 + 760*q - 640.
5*(q - 16)*(q - 8)*(q - 1)
Let c**3/3 + 52*c**2/3 + 100*c/3 = 0. What is c?
-50, -2, 0
Factor 4*f**3 + 56*f**2.
4*f**2*(f + 14)
Find i, given that -35*i**5 - 360*i**4 - 1080*i**3 - 1120*i**2 - 240*i = 0.
-6, -2, -2/7, 0
Determine j so that 2*j**2/3 + 86*j + 492 = 0.
-123, -6
Suppose -2*c**5 - 16*c**4 - 42*c**3 - 28*c**2 + 40*c + 48 = 0. What is c?
-3, -2, 1
Factor -2*p**4/5 - 6*p**3 - 28*p**2/5.
-2*p**2*(p + 1)*(p + 14)/5
Find g, given that 6*g**2/5 - 24*g + 114/5 = 0.
1, 19
What is l in 2*l**3/3 - 28*l**2/3 - 64*l/3 = 0?
-2, 0, 16
Solve -2*m**3/11 + 222*m**2/11 - 6048*m/11 + 48600/11 = 0 for m.
18, 75
Factor b**2/3 - 2588*b/3 + 1674436/3.
(b - 1294)**2/3
Factor 3*x**5 + 12*x**4 + 3*x**3 - 18*x**2.
3*x**2*(x - 1)*(x + 2)*(x + 3)
Determine b, given that -b**2/3 + 29*b/3 + 10 = 0.
-1, 30
Solve -3*d**4 - 2412*d**3 - 487218*d**2 - 967212*d - 482403 = 0.
-401, -1
Factor 3*p**4 - 48*p**3 - 291*p**2 - 492*p - 252.
3*(p - 21)*(p + 1)*(p + 2)**2
Factor 2*z**3/13 - 6134*z**2/13 + 361552*z + 362024.
2*(z - 1534)**2*(z + 1)/13
Find w, given that 2*w**4/23 - 384*w**3/23 - 778*w**2/23 + 384*w/23 + 776/23 = 0.
-2, -1, 1, 194
Factor 2*d**4 - 544*d**3 + 36442*d**2 + 75076*d.
2*d*(d - 137)**2*(d + 2)
Factor 13*s**2/6 - 85*s/6 - 7.
(s - 7)*(13*s + 6)/6
Factor -y**3/7 + y**2/7 + 5*y/7 + 3/7.
-(y - 3)*(y + 1)**2/7
Factor -2*w**3/5 - 2*w**2/5 + 34*w/5 - 6.
-2*(w - 3)*(w - 1)*(w + 5)/5
What is z in -40*z**3 + 308*z**2 - 544*z - 192 = 0?
-3/10, 4
Factor m**2/10 - 43*m/5 + 48.
(m - 80)*(m - 6)/10
Determine v, given that 2*v**2 - 50*v/3 - 12 = 0.
-2/3, 9
Determine n so that -70*n**4 - 395*n**3 - 780*n**2 - 620*n - 160 = 0.
-2, -8/7, -1/2
Factor -2*p**4/5 + 164*p**3/5 - 3522*p**2/5 + 1312*p - 640.
-2*(p - 40)**2*(p - 1)**2/5
Let -15*f**3/4 + 16*f**2 - 61*f/4 + 3 = 0. What is f?
4/15, 1, 3
What is q in 4*q**4 - 4*q**3 - 4*q**2 + 4*q = 0?
-1, 0, 1
Factor 3*y**3 - 27*y**2/2 + 6*y.
3*y*(y - 4)*(2*y - 1)/2
Factor -3*f**4/4 + 3255*f**3/4 + 3261*f**2/2.
-3*f**2*(f - 1087)*(f + 2)/4
Factor -3*w**2 + 9*w + 12.
-3*(w - 4)*(w + 1)
Factor q**3 + 12*q**2 - 325*q.
q*(q - 13)*(q + 25)
Solve l**2/2 + 6*l - 45/2 = 0 for l.
-15, 3
Suppose -g**4/3 + 7*g**3/3 - 4*g**2/3 - 4*g = 0. What is g?
-1, 0, 2, 6
What is w in -3*w**2 - 426*w + 429 = 0?
-143, 1
Find k such that -5*k**4 - 1010*k**3 - 49980*k**2 + 104040*k = 0.
-102, 0, 2
Suppose -2*f**2/13 - 126*f/13 = 0. What is f?
-63, 0
Factor -4*d**2/3 - 9*d + 7/3.
-(d + 7)*(4*d - 1)/3
Factor 4*g**2/5 + 88*g/5 + 484/5.
4*(g + 11)**2/5
What is q in -4*q**4 - 60*q**3 - 156*q**2 - 148*q - 48 = 0?
-12, -1
Suppose -4*v**2 - 42*v - 38 = 0. What is v?
-19/2, -1
Find z, given that 4*z**2 + 280*z + 4900 = 0.
-35
Factor 2*p**5/9 - 2*p**4/9 - 4*p**3/9.
2*p**3*(p - 2)*(p + 1)/9
Find t, given that -14641*t**2/9 - 484*t - 36 = 0.
-18/121
Factor -3*b**3/4 + 1041*b**2/2 + 6267*b/4 + 2091/2.
-3*(b - 697)*(b + 1)*(b + 2)/4
Suppose -2*g**3/11 - 14*g**2/11 + 2*g/11 + 14/11 = 0. What is g?
-7, -1, 1
Factor 2*a**3 + 130*a**2 + 2704*a + 17576.
2*(a + 13)*(a + 26)**2
Factor 2*t**2/9 + 218*t/9.
2*t*(t + 109)/9
Factor -2*y**3/13 + 22*y**2/13 - 16*y/13 - 40/13.
-2*(y - 10)*(y - 2)*(y + 1)/13
Factor -u**4 - 11*u**3 - 22*u**2 + 60*u + 72.
-(u - 2)*(u + 1)*(u + 6)**2
Solve -25*q**3/3 + 1280*q**2/3 + 1036*q/3 + 208/3 = 0 for q.
-2/5, 52
Find a such that 3*a**2 - 4812*a + 1929612 = 0.
802
Let -z**3/4 + 7*z**2/4 + 10*z - 25 = 0. What is z?
-5, 2, 10
Find v, given that 3*v**3 + 369*v**2 + 11529*v + 11163 = 0.
-61, -1
Let -190*v**2/11 - 86*v + 20/11 = 0. What is v?
-5, 2/95
Factor -4*y**2/9 - 752*y/9 - 1220/3.
-4*(y + 5)*(y + 183)/9
Factor -u**3/3 - 49*u**2 - 146*u/3.
-u*(u + 1)*(u + 146)/3
Factor b**4/3 + 20*b**3/3 - 92*b**2/3 + 32*b.
b*(b - 2)**2*(b + 24)/3
Let -3*w**4 + 12*w**3 + 126*w**2 + 108*w - 243 = 0. Calculate w.
-3, 1, 9
Solve 864*o**4 + 576*o**3 + 144*o**2 + 16*o + 2/3 = 0.
-1/6
Find n, given that -n**2/5 + 42*n/5 = 0.
0, 42
Suppose -2*c**3/5 + 9*c**2/5 - 2*c + 3/5 = 0. What is c?
1/2, 1, 3
Factor -2*r**3 + 18*r**2 - 28*r.
-2*r*(r - 7)*(r - 2)
Factor -3*n**5/5 - 39*n**4/5 - 138*n**3/5 + 6*n**2 + 105*n - 75.
-3*(n - 1)**2*(n + 5)**3/5
Factor -86*k**2/11 - 34*k/11.
-2*k*(43*k + 17)/11
Solve 2*p**2/3 + 4*p/3 = 0 for p.
-2, 0
Factor -4*h**2/3 + 8*h.
-4*h*(h - 6)/3
Solve 529*t**5/5 - 230*t**4 - 703*t**3 - 296*t**2 + 68*t - 16/5 = 0 for t.
-1, 2/23, 4
Factor -4*l**5/7 - 20*l**4/7.
-4*l**4*(l + 5)/7
Factor 2*o**4/7 - 24*o**3/7 + 18*o**2/7 + 44*o/7.
2*o*(o - 11)*(o - 2)*(o + 1)/7
What is v in -4*v**4 + 8*v**3 + 28*v**2 - 80*v + 48 = 0?
-3, 1, 2
Suppose j**4/3 - 3*j**3 + 6*j**2 = 0. Calculate j.
0, 3, 6
Factor -3*p**4/8 + 69*p**3/8 - 45*p**2 - 54*p.
-3*p*(p - 12)**2*(p + 1)/8
Factor 3*r**3/7 + 60*r**2/7 - 12*r - 672.
3*(r - 8)*(r + 14)**2/7
Let g**3/5 + 231*g**2/5 - 936*g/5 + 188 = 0. Calculate g.
-235, 2
Solve -2*w**2/9 - 32*w/9 = 0 for w.
-16, 0
Factor -x**4 - 20*x**3 + 21*x**2.
-x**2*(x - 1)*(x + 21)
Suppose 15*n**2 - 70*n + 40 = 0. Calculate n.
2/3, 4
Factor -3*p**3 - 57*p**2 - 222*p - 168.
-3*(p + 1)*(p + 4)*(p + 14)
Let -5*g**5 - 490*g**4 - 1905*g**3 - 2360*g**2 - 940*g = 0. Calculate g.
-94, -2, -1, 0
Factor x**2/2 + 38*x - 78.
(x - 2)*(x + 78)/2
Solve -3*k**2/8 + 4377*k/2 - 6386043/2 = 0.
2918
Let -2*o**2/5 - 76*o/5 - 272/5 = 0. What is o?
-34, -4
Factor -4*q**4 - 89*q**3 + 166*q**2 - 49*q - 24.
-(q - 1)**2*(q + 24)*(4*q + 1)
Factor u**5/2 + 6*u**4/5 + 2*u**3/5.
u**3*(u + 2)*(5*u + 2)/10
Find c, given that 5*c**2 - 210*c + 205 = 0.
1, 41
Suppose -45*i**4 + 220*i**3 - 155*i**2 - 20*i = 0. What is i?
-1/9, 0, 1, 4
Factor -2*x**3 + 18*x**2 + 32*x - 120.
-2*(x - 10)*(x - 2)*(x + 3)
Factor -1029*y**4/5 - 67032*y**3/5 + 11592*y**2 - 16608*y/5 + 1584/5.
-3*(y + 66)*(7*y - 2)**3/5
Determine r so that 2*r**3/5 - 6*r**2/5 + 8/5 = 0.
-1, 2
Determine r so that -r**2/2 - 6032*r - 18192512 = 0.
-6032
Suppose -26*x**5/3 + 16*x**4 + 398*x**3/3 + 164*x**2/3 - 168*x - 80/3 = 0. What is x?
-2, -2/13, 1, 5
Factor t**2/9 - 20*t/9 - 44/9.
(t - 22)*(t + 2)/9
Suppose -8*q**4 - 370*q**3 - 1468*q**2 - 1688*q - 336 = 0. Calculate q.
-42, -2, -1/4
Factor 3*m**5 + 15*m**4 - 42*m**3 + 6*m**2 + 39*m - 21.
3*(m - 1)**3*(m + 1)*(m + 7)
Let j**2/4 + 47*j/4 = 0. Calculate j.
-47, 0
Find c such that -5*c**3 + 235*c**2 - 2395*c - 2635 = 0.
-1, 17, 31
Determine i, given that -2*i**3/7 + 192*i**2/7 - 2088*i/7 + 864 = 0.
6, 84
Determine z, given that -z**2/3 + 13*z - 74/3 = 0.
2, 37
Determine z so that -3*z**5/7 - 3*z**4/7 + 15*z**3/7 - 9*z**2/7 = 0.
-3, 0, 1
Factor -2*d**4/13 + 16*d**3/13 + 1108*d**2/13 - 4560*d/13 - 162450/13.
-2*(d - 19)**2*(d + 15)**2/13
Let -3*r**5/7 + 894*r**4/7 - 1776*r**3/7 = 0. What is r?
0, 2, 296
Factor 4*u**4 - 80*u**3 + 472*u**2 - 720*u + 324.
4*(u - 9)**2*(u - 1)**2
Factor -b**3/3 + 5*b**2/3 + 4*b/3 - 20/3.
-(b - 5)*(b - 2)*(b + 2)/3
Factor 3*k**2 + 69*k + 378.
3*(k + 9)*(k + 14)
Factor -12*s**2 - 80*s + 28.
-4*(s + 7)*(3*s - 1)
Determine h so that -5*h**2 + 25*h + 30 = 0.
-1, 6
Factor f**2/5 + 22*f/5 + 8.
(f + 2)*(f + 20)/5
What is m in -5*m**5 + 100*m**4 - 485*m**3 - 310*m**2 + 1700*m - 1000 = 0?
-2, 1, 10
Factor 44*o**3 + 3824*o**2 + 3780*o.
4*o*(o + 1)*(11*o