**3/9 + 14*p**2/3 + 20*p = 0.
-15, -6, -1, 0, 1
Solve -4*s**2 - 312*s - 900 = 0.
-75, -3
Suppose 3*v**2 + 1032*v + 88752 = 0. Calculate v.
-172
Suppose 2*j**3/7 + 300*j**2/7 + 15000*j/7 + 250000/7 = 0. What is j?
-50
Suppose -2*l**3 + 6*l**2 + 210*l - 1078 = 0. Calculate l.
-11, 7
Factor 2*b**2/5 - 114*b/5 - 364.
2*(b - 70)*(b + 13)/5
Let -2*h**5/5 + 14*h**4/5 - 2*h**3 - 14*h**2/5 + 12*h/5 = 0. Calculate h.
-1, 0, 1, 6
Suppose -4*m**2 + 408*m + 2592 = 0. What is m?
-6, 108
Factor u**2/3 + 70*u/3 + 1225/3.
(u + 35)**2/3
Solve n**5/5 - 23*n**4/5 + 119*n**3/5 + 167*n**2/5 - 24*n - 144/5 = 0 for n.
-1, 1, 12
Let -2*p**4/5 + 64*p**3/5 + 366*p**2/5 + 164*p/5 - 592/5 = 0. Calculate p.
-4, -2, 1, 37
Let -2*u**3/7 + 10*u**2/7 - 12*u/7 = 0. Calculate u.
0, 2, 3
Determine d, given that -2*d**3/19 + 34*d**2/19 - 182*d/19 + 294/19 = 0.
3, 7
Factor -s**2/2 + 92*s - 4232.
-(s - 92)**2/2
Suppose 256*g**2/3 + 5536*g/3 + 29929/3 = 0. What is g?
-173/16
Factor 4*w**3 + 3160*w**2 + 624100*w.
4*w*(w + 395)**2
Let 20*u**4 - 328*u**3 + 708*u**2 - 512*u + 112 = 0. What is u?
2/5, 1, 14
Factor -2*n**2 + 224*n - 6272.
-2*(n - 56)**2
Find a such that 2*a**4/11 + 166*a**3/11 + 3526*a**2/11 + 3362*a/11 = 0.
-41, -1, 0
Factor 4*y**4 + 48*y**3 - 124*y**2 - 168*y.
4*y*(y - 3)*(y + 1)*(y + 14)
Factor -5*z**2/2 - 85*z/2 - 180.
-5*(z + 8)*(z + 9)/2
Suppose -3185*n**4/9 + 11522*n**3/9 - 6245*n**2/9 + 116*n - 4 = 0. What is n?
3/65, 2/7, 3
Let 2*h**5 - 140*h**4 + 3528*h**3 - 38416*h**2 + 153664*h = 0. What is h?
0, 14, 28
Solve -u**5/3 - u**4/3 + 2*u**3/3 = 0 for u.
-2, 0, 1
Factor -2*v**2/3 + 22*v/3 - 56/3.
-2*(v - 7)*(v - 4)/3
Factor 3*z**4 - 36*z**3 + 9*z**2 + 624*z + 576.
3*(z - 8)**2*(z + 1)*(z + 3)
Let -4*f**3/5 - 72*f**2/5 = 0. Calculate f.
-18, 0
Factor y**2 - 31*y - 140.
(y - 35)*(y + 4)
Factor 8*k**3/15 - 104*k**2/15 + 34*k/15 + 2312/15.
2*(k + 4)*(2*k - 17)**2/15
Factor b**3/8 - 113*b**2/8 + 14*b.
b*(b - 112)*(b - 1)/8
Determine r so that -r**4/5 - 17*r**3/5 - 3*r**2 + 17*r/5 + 16/5 = 0.
-16, -1, 1
Factor 2*q**2/7 + 564*q + 278334.
2*(q + 987)**2/7
Determine f, given that 5*f**5 + 105*f**4 + 600*f**3 + 500*f**2 = 0.
-10, -1, 0
Solve -4*h**4 + 64*h**3 - 180*h**2 - 216*h + 864 = 0 for h.
-2, 3, 12
Factor f**3/3 + 64*f**2/3 - 4*f/3 - 256/3.
(f - 2)*(f + 2)*(f + 64)/3
Suppose -2*f**3 - 8256*f**2 - 11360256*f - 5210570752 = 0. What is f?
-1376
Factor -5*p**3/2 + 350*p**2/3 + 160*p.
-5*p*(p - 48)*(3*p + 4)/6
Factor -g**4/7 - 59*g**3/7 + 60*g**2/7.
-g**2*(g - 1)*(g + 60)/7
Factor 4*f**3 + 732*f**2 - 4*f - 732.
4*(f - 1)*(f + 1)*(f + 183)
Factor -w**5 - 21*w**4 + 127*w**3 - 87*w**2 - 234*w.
-w*(w - 3)**2*(w + 1)*(w + 26)
Determine d so that -5*d**3 + 1130*d**2 - 53845*d - 1171280 = 0.
-16, 121
Factor q**2/7 - 25*q/7.
q*(q - 25)/7
Let 5*h**3/2 + 435*h**2/2 - 220*h = 0. Calculate h.
-88, 0, 1
Solve -5*w**2 - 320*w - 5120 = 0.
-32
Find d, given that d**2/2 + 123*d/2 + 295 = 0.
-118, -5
Solve -4*x**5/7 - 4*x**4 - 64*x**3/7 - 48*x**2/7 = 0 for x.
-3, -2, 0
Find c such that 3*c**5 + 96*c**4 + 759*c**3 - 294*c**2 - 2496*c - 1536 = 0.
-16, -1, 2
Factor w**2/7 - 26*w/7 + 48/7.
(w - 24)*(w - 2)/7
Suppose 2*d**4 - 12*d**3 + 64*d = 0. What is d?
-2, 0, 4
Factor 2*s**3/9 - 118*s**2/9 + 116*s/9.
2*s*(s - 58)*(s - 1)/9
Factor n**2 - 160*n + 6400.
(n - 80)**2
Suppose h**2 - 264*h = 0. What is h?
0, 264
Determine t, given that t**4 - 47*t**3 - 52*t**2 + 188*t + 192 = 0.
-2, -1, 2, 48
Factor 2*b**3/17 + 38*b**2/17 + 240*b/17 + 504/17.
2*(b + 6)**2*(b + 7)/17
Factor -a**4/2 - 3*a**3 + 7*a**2/2.
-a**2*(a - 1)*(a + 7)/2
Factor -2*v**2/7 - 86*v/7 - 164/7.
-2*(v + 2)*(v + 41)/7
Factor -3*b**3 + 507*b**2 - 21672*b + 21168.
-3*(b - 84)**2*(b - 1)
Find b such that -5*b**2 - 5930*b - 1758245 = 0.
-593
Factor -68*j**2 - 192*j + 36.
-4*(j + 3)*(17*j - 3)
Let 5*r**5 + 875*r**4/4 + 645*r**3/4 = 0. Calculate r.
-43, -3/4, 0
Solve 2*u**2 - 786*u + 4644 = 0 for u.
6, 387
Suppose -2*q**3 + 374*q**2 - 742*q + 370 = 0. Calculate q.
1, 185
Determine q so that -q**3/5 + 3*q**2/5 + 64*q/5 + 12 = 0.
-6, -1, 10
Factor 2*m**4/7 + 2*m**3 + 32*m**2/7 + 24*m/7.
2*m*(m + 2)**2*(m + 3)/7
Factor 2*t**2/9 - 2360*t/3 + 696200.
2*(t - 1770)**2/9
Determine i, given that -134*i**3 - 205*i**2 + 128*i + 4 = 0.
-2, -2/67, 1/2
Let 2*j**3/9 + 24*j**2 - 146*j/3 + 220/9 = 0. Calculate j.
-110, 1
Find a, given that 5*a**4 + 75*a**3 + 310*a**2 + 240*a = 0.
-8, -6, -1, 0
Factor -4*m**3 - 72*m**2 + 160*m.
-4*m*(m - 2)*(m + 20)
Factor 5*k**2 - 200*k - 1920.
5*(k - 48)*(k + 8)
Factor 3*d**4 - 2421*d**3 + 492054*d**2 - 1459260*d + 969624.
3*(d - 402)**2*(d - 2)*(d - 1)
Find f, given that 8*f**5/5 - 54*f**4/5 + 26*f**3/5 + 66*f**2/5 - 34*f/5 - 12/5 = 0.
-1, -1/4, 1, 6
Solve -g**2 + 234*g - 693 = 0.
3, 231
Let -3*z**2 + 99*z - 96 = 0. Calculate z.
1, 32
Suppose z**3 + 15*z**2 - 34*z = 0. What is z?
-17, 0, 2
Solve -6*y**5/13 + 28*y**4/13 - 44*y**3/13 + 24*y**2/13 + 2*y/13 - 4/13 = 0.
-1/3, 1, 2
Determine i so that -i**4/9 + i**3/9 + 26*i**2/9 - 28*i/3 + 8 = 0.
-6, 2, 3
Factor -j**5/4 + j**4/2 + 7*j**3/4 + j**2.
-j**2*(j - 4)*(j + 1)**2/4
Factor 5*u**4 - 20*u**3 + 15*u**2.
5*u**2*(u - 3)*(u - 1)
Factor -u**5/4 - 15*u**4 - 1199*u**3/4 - 1985*u**2 + 300*u + 2000.
-(u - 1)*(u + 1)*(u + 20)**3/4
Factor -3*v**2/4 - 243*v/4.
-3*v*(v + 81)/4
Factor -10*p**3/3 - 65*p**2/3 - 80*p/3 - 25/3.
-5*(p + 1)*(p + 5)*(2*p + 1)/3
Find x, given that 5*x**5/2 - 6*x**4 + 2*x**3 + 5*x**2 - 9*x/2 + 1 = 0.
-1, 2/5, 1
Factor -2*m**3 - 12*m**2 + 18*m + 28.
-2*(m - 2)*(m + 1)*(m + 7)
Let -t**4/2 + 4*t**3/3 + 28*t**2/3 + 16*t/3 - 8 = 0. What is t?
-2, 2/3, 6
Determine j, given that -3*j**5 - 216*j**4 - 3432*j**3 + 16416*j**2 - 17328*j = 0.
-38, 0, 2
Find n such that n**5 + 17*n**4 + 31*n**3 + 15*n**2 = 0.
-15, -1, 0
Find r, given that -4*r**2/5 + 132*r/5 - 72 = 0.
3, 30
Find b, given that -2*b**4 - 56*b**3 = 0.
-28, 0
What is x in -2*x**2/5 - 72*x/5 + 74/5 = 0?
-37, 1
Find v, given that 2*v**2 - 652*v + 53138 = 0.
163
Factor -145*f**2 + 430*f + 15.
-5*(f - 3)*(29*f + 1)
Suppose 4*o**2 + 72*o - 160 = 0. What is o?
-20, 2
Determine m, given that -5*m**4 + 30*m**3 - 15*m**2 - 50*m = 0.
-1, 0, 2, 5
Determine o so that -o**2/2 + 25*o/2 - 12 = 0.
1, 24
Determine y, given that -5*y**4 - 305*y**3 - 300*y**2 = 0.
-60, -1, 0
Factor -5*y**2 - 80*y - 140.
-5*(y + 2)*(y + 14)
What is u in -2*u**2/13 + 24*u/13 + 378/13 = 0?
-9, 21
Let -5*i**4 + 220*i**3 - 2630*i**2 + 4620*i - 2205 = 0. What is i?
1, 21
Factor -3*c**2/4 + 2631*c/4.
-3*c*(c - 877)/4
Solve -2*j**5/19 + 30*j**4/19 - 78*j**3/19 - 110*j**2/19 = 0 for j.
-1, 0, 5, 11
Suppose x**4 + 56*x**3 + 55*x**2 = 0. What is x?
-55, -1, 0
Determine d so that 8*d**4/5 - 508*d**3/5 + 8424*d**2/5 - 11036*d/5 - 7688/5 = 0.
-1/2, 2, 31
What is q in 28*q**3 + 152*q**2 + 44*q - 80 = 0?
-5, -1, 4/7
Factor 2*j**5 - 16*j**4 + 24*j**3.
2*j**3*(j - 6)*(j - 2)
Factor -291*r**2/4 - 285*r/4 + 3/2.
-3*(r + 1)*(97*r - 2)/4
Factor 5*n**3 + 340*n**2 + 4800*n.
5*n*(n + 20)*(n + 48)
Factor -116*d**2 - 572*d + 40.
-4*(d + 5)*(29*d - 2)
Factor b**3 + 1345*b**2 + 454267*b + 1350723.
(b + 3)*(b + 671)**2
Determine s, given that s**2 + 8*s + 16 = 0.
-4
Factor -d**2/2 + 105*d - 208.
-(d - 208)*(d - 2)/2
Factor -3*p**2/7 + 102*p/7.
-3*p*(p - 34)/7
Factor n**4/10 + 19*n**3/10 - 21*n**2/10 - 19*n/10 + 2.
(n - 1)**2*(n + 1)*(n + 20)/10
Solve -3*p**4 - 39*p**3 - 171*p**2 - 297*p - 162 = 0 for p.
-6, -3, -1
Determine l so that 14*l**4 - 23*l**3 + 3*l**2 + 7*l - 1 = 0.
-1/2, 1/7, 1
Let -5*f**5 - 105*f**4 - 790*f**3 - 2510*f**2 - 3045*f - 1225 = 0. Calculate f.
-7, -5, -1
Factor -h**3 - 5*h**2 - 3*h + 9.
-(h - 1)*(h + 3)**2
Let 15*k**5/2 + 59*k**4 + 239*k**3/2 + 58*k**2 - 10*k = 0. What is k?
-5, -2, -1, 0, 2/15
Let -n**4 - 12*n**3 + 99*n**2 + 238*n = 0. Calculate n.
-17, -2, 0, 7
Let 5*s**5 - 55*s**4 + 85*s**3 + 55*s**2 - 90*s = 0. What is s?
-1, 0, 1, 2, 9
Factor -h**2/3 + 7*h + 24.
-(h - 24)*(h + 3)/3
Factor 3*d**3 + 21*d**2 - 24*d.
3*d*(d - 1)*(d + 8)
Factor -i**2 - 96*i - 2304.
-(i + 48)**2
Find u such that 2*u**5/11 - 42*u**4/11 + 304*u**3/11 - 840*u**2/11 + 576*u/11 = 0.
0, 1, 6, 8
Factor 2*m**3/3 - 4*m**2 + 6*m.
2*m*(m - 3)**2/3
Suppose 12*z**2 + 93*z + 81 = 0. Calculate z.
-27/4, -1
Let -2*j**3/7 + 18*j**2/7 - 52*j/7 + 48/7 = 0. What is j?
2, 3, 4
Find a, given 