 220*c + 224.
4*(c - 8)*(c - 1)*(c + 7)
Factor u**3 - 5*u**2 + 4*u.
u*(u - 4)*(u - 1)
Factor d**5/10 + 3*d**4/10 - 11*d**3/5 - 9*d**2 - 27*d/10 + 27/2.
(d - 5)*(d - 1)*(d + 3)**3/10
Find c, given that -c**4/2 + 5*c**3/2 + 7*c**2/2 - 5*c/2 - 3 = 0.
-1, 1, 6
Let 15*v**3 + 12*v**2 - 3*v = 0. Calculate v.
-1, 0, 1/5
Factor -a**2/8 - 30*a + 729/8.
-(a - 3)*(a + 243)/8
Suppose 21*t**3/5 - 24*t**2/5 + 3*t/5 = 0. What is t?
0, 1/7, 1
Factor 3*l**4/7 + 9*l**3/7 + 3*l**2/7 - 9*l/7 - 6/7.
3*(l - 1)*(l + 1)**2*(l + 2)/7
Determine u, given that -u**3/5 - 1867*u**2/5 - 870488*u/5 + 872356/5 = 0.
-934, 1
Factor -2*t**5 - 42*t**4 + 62*t**3 + 418*t**2 + 492*t + 176.
-2*(t - 4)*(t + 1)**3*(t + 22)
Factor 2*y**3 - 4*y**2.
2*y**2*(y - 2)
Solve -y**5 + 2*y**4 - y**3 = 0 for y.
0, 1
Solve -15*g**5/4 + 39*g**4/2 - 15*g**3 - 33*g**2/2 + 75*g/4 - 3 = 0 for g.
-1, 1/5, 1, 4
What is z in z**4 - 188*z**3 + 9726*z**2 - 83660*z + 198025 = 0?
5, 89
Factor -405*n**3 - 96570*n**2 - 42860*n - 4760.
-5*(n + 238)*(9*n + 2)**2
Suppose 2*x**5/7 - 2*x**4 + 12*x**3/7 = 0. Calculate x.
0, 1, 6
Factor -5*i**5 + 110*i**4 - 105*i**3.
-5*i**3*(i - 21)*(i - 1)
Solve -2*a**4/21 - 62*a**3/21 - 344*a**2/21 - 8*a + 192/7 = 0.
-24, -6, -2, 1
Let 5*h**5 - 255*h**4 + 2410*h**3 - 8720*h**2 + 12960*h - 6400 = 0. Calculate h.
1, 2, 4, 40
Find j such that -3*j**2 - 39*j + 342 = 0.
-19, 6
Factor 2*v**2/7 - 2*v + 24/7.
2*(v - 4)*(v - 3)/7
Factor 3*q**2/8 + 3*q/8 - 27.
3*(q - 8)*(q + 9)/8
Factor 5*y**2 + 235*y.
5*y*(y + 47)
Let 3*q**2 - 12138*q + 12277587 = 0. Calculate q.
2023
Suppose -2*n**2/11 + 1708*n/11 - 364658/11 = 0. What is n?
427
Determine v so that -v**3/5 + 8*v**2/5 - 17*v/5 + 2 = 0.
1, 2, 5
What is v in v**3 + 9*v**2 - 81*v + 135 = 0?
-15, 3
Find f, given that f**2/8 + 9*f/8 + 9/4 = 0.
-6, -3
Factor -t**3/5 - 92*t**2/5 - 441*t - 810.
-(t + 2)*(t + 45)**2/5
Find t such that 4*t**3 - 64*t**2 - 36*t + 576 = 0.
-3, 3, 16
Factor m**5/4 + 3*m**4/4 + 3*m**3/4 + m**2/4.
m**2*(m + 1)**3/4
What is k in -35*k**4 + 115*k**3 + 320*k**2 - 100*k = 0?
-2, 0, 2/7, 5
Suppose 2*k**3 - 1542*k**2 + 3078*k - 1538 = 0. Calculate k.
1, 769
Factor 3*s**4 + 696*s**3 + 54054*s**2 + 1422960*s + 1369599.
3*(s + 1)*(s + 77)**3
Solve -2*a**4/21 + 2*a**3/7 + 2*a**2/3 - 10*a/7 - 12/7 = 0.
-2, -1, 3
Factor 20*n**4 + 204*n**3 + 680*n**2 + 768*n + 128.
4*(n + 2)*(n + 4)**2*(5*n + 1)
Suppose -3*l**3 - 5103*l**2 - 10197*l - 5097 = 0. What is l?
-1699, -1
Suppose -28*w**2/3 - 192*w + 1264/3 = 0. What is w?
-158/7, 2
Factor 3*i**3/7 - 120*i**2/7 + 417*i/7 + 540/7.
3*(i - 36)*(i - 5)*(i + 1)/7
Find x such that 4*x**2/9 - 56*x/9 = 0.
0, 14
Let 2*r**4 - 76*r**3 - 2*r**2 + 76*r = 0. Calculate r.
-1, 0, 1, 38
What is z in -5*z**4 + 10*z**3 + 25*z**2 - 30*z = 0?
-2, 0, 1, 3
Determine w, given that -4*w**5/5 - 12*w**4/5 + 36*w**3/5 - 4*w**2 = 0.
-5, 0, 1
Find b such that -3*b**3 - 207*b**2 + 867*b - 657 = 0.
-73, 1, 3
What is k in 2*k**2/11 + 922*k/11 + 7248/11 = 0?
-453, -8
Find a such that 343*a**5 + 45668*a**4 + 1500331*a**3 - 1319734*a**2 + 4288*a + 143648 = 0.
-67, -2/7, 4/7
Determine t so that -t**5/3 + 3*t**4 - 29*t**3/3 + 43*t**2/3 - 10*t + 8/3 = 0.
1, 2, 4
Solve -3*n**4 + 12*n**3 + 3*n**2 - 12*n = 0 for n.
-1, 0, 1, 4
Suppose -9*u**5/2 + 15*u**4 + 213*u**3/2 + 63*u**2 = 0. Calculate u.
-3, -2/3, 0, 7
Find a such that 5*a**3 - 350*a**2 - 5*a + 350 = 0.
-1, 1, 70
Determine c so that 3*c**2 - 204*c = 0.
0, 68
Solve -5*h**3 - 10*h**2 = 0.
-2, 0
Suppose 4*k**4/3 - k**3/3 - 28*k**2/3 + 31*k/3 - 2 = 0. Calculate k.
-3, 1/4, 1, 2
Determine w so that -8*w**3/23 - 662*w**2/23 - 1754*w/23 + 480/23 = 0.
-80, -3, 1/4
Solve 128*v**3/3 + 608*v**2 - 474*v + 90 = 0 for v.
-15, 3/8
Let -x**3 - 10*x**2 + 53*x - 42 = 0. Calculate x.
-14, 1, 3
Factor -3*c**4 - 231*c**3 - 4773*c**2 - 12321*c.
-3*c*(c + 3)*(c + 37)**2
Solve -6*f**3/5 + 18*f**2/5 + 144*f/5 + 168/5 = 0.
-2, 7
Factor -2*i**2/5 - 12*i/5 + 14/5.
-2*(i - 1)*(i + 7)/5
Solve b**3 - 3*b - 2 = 0 for b.
-1, 2
Determine r, given that 4*r**2/7 + 204*r/7 + 200/7 = 0.
-50, -1
Factor 4*y**2 + 64*y.
4*y*(y + 16)
Determine t, given that 2*t**3 + 24*t**2 + 58*t - 84 = 0.
-7, -6, 1
Suppose 2*w**3/3 - 6*w**2 + 10*w + 50/3 = 0. What is w?
-1, 5
Find d such that -3*d**5 + 3*d**4 + 15*d**3 + 9*d**2 = 0.
-1, 0, 3
Factor -3*y**4/7 + 276*y**3/7 - 6876*y**2/7 + 24288*y/7 - 23232/7.
-3*(y - 44)**2*(y - 2)**2/7
Solve h**5/6 + 29*h**4/6 + 145*h**3/3 + 593*h**2/3 + 671*h/2 + 363/2 = 0 for h.
-11, -3, -1
What is h in 4*h**3/5 + 28*h**2 + 824*h/5 + 224 = 0?
-28, -5, -2
Suppose -5*v**2 + 230*v + 480 = 0. What is v?
-2, 48
Factor 5*p**4 - 40*p**3 + 95*p**2 - 60*p.
5*p*(p - 4)*(p - 3)*(p - 1)
Determine q, given that 9*q**2 - 372*q + 123 = 0.
1/3, 41
Let w**3 - w**2 - 42*w = 0. What is w?
-6, 0, 7
Suppose -o**2 + 5084*o - 6461764 = 0. Calculate o.
2542
Factor 2*w**5 - 24*w**4 + 60*w**3 - 56*w**2 + 18*w.
2*w*(w - 9)*(w - 1)**3
Suppose -2*w**2 + 1036*w - 134162 = 0. Calculate w.
259
Factor 5*v**2 - 1795*v - 1800.
5*(v - 360)*(v + 1)
Factor 3*v**2 + 21*v + 30.
3*(v + 2)*(v + 5)
Find i, given that -6*i**4 + 3255*i**3 - 442269*i**2 + 218697*i + 220323 = 0.
-1/2, 1, 271
Factor y**2/7 + 11566*y/7 + 33443089/7.
(y + 5783)**2/7
Suppose -5*w**4/7 - 2*w**3 + 68*w**2/7 + 62*w/7 - 15/7 = 0. Calculate w.
-5, -1, 1/5, 3
Find j, given that -4*j**2/9 + 416*j/9 + 192 = 0.
-4, 108
Factor t**3/2 - 62*t**2/5 + 19*t/2 + 12/5.
(t - 24)*(t - 1)*(5*t + 1)/10
Factor 7*j**2/3 - 43*j/3 + 2.
(j - 6)*(7*j - 1)/3
Suppose -4*i**4 + 94*i**3/3 - 236*i**2/3 + 58*i + 12 = 0. Calculate i.
-1/6, 2, 3
Factor -b**2/8 - 81*b/8 + 253/2.
-(b - 11)*(b + 92)/8
Factor 3*z**2/4 + 141*z/2 + 6627/4.
3*(z + 47)**2/4
Factor -z**2 - 23*z + 248.
-(z - 8)*(z + 31)
Factor 3*b**3/2 + 663*b**2/2 + 657*b.
3*b*(b + 2)*(b + 219)/2
Find z such that 2*z**2/5 - 14*z/5 + 24/5 = 0.
3, 4
Factor c**2 - 1009*c/4 + 63.
(c - 252)*(4*c - 1)/4
What is h in h**3/2 - 1797*h**2/2 + 806403*h/2 + 808201/2 = 0?
-1, 899
Solve -14*m**2/17 - 13682*m/17 - 3908/17 = 0.
-977, -2/7
Factor 2*c**2 + 294*c - 296.
2*(c - 1)*(c + 148)
Factor 3*z**3 + 33*z**2 - 12*z - 132.
3*(z - 2)*(z + 2)*(z + 11)
Find j such that -36*j**5 - 12*j**4 + 236*j**3 - 148*j**2 + 24*j = 0.
-3, 0, 1/3, 2
Suppose 300*y**3 - 476*y**2 - 840*y - 64 = 0. What is y?
-1, -2/25, 8/3
Factor k**3 - 230*k**2/3 - 551*k/3 - 158/3.
(k - 79)*(k + 2)*(3*k + 1)/3
Factor 2*a**3/11 + 174*a**2/11 + 5046*a/11 + 48778/11.
2*(a + 29)**3/11
Let 15*d**2 + 1010*d - 1725 = 0. What is d?
-69, 5/3
Factor i**4/3 - 5*i**3/3 + 7*i**2/3 - i.
i*(i - 3)*(i - 1)**2/3
Factor 4*t**2 - 84*t.
4*t*(t - 21)
What is f in -115*f**3 - 395*f**2 + 310*f + 200 = 0?
-4, -10/23, 1
Factor -3*s**2/2 + 639*s - 136107/2.
-3*(s - 213)**2/2
Let 2*s**5/3 - 16*s**4/3 - 32*s**3/3 + 100*s**2/3 + 74*s + 36 = 0. What is s?
-2, -1, 3, 9
Factor 3*i**3/5 - 6*i**2/5 - 24*i/5.
3*i*(i - 4)*(i + 2)/5
Factor -m**2/2 + 66*m.
-m*(m - 132)/2
Find p such that -2*p**2 + 36580*p - 167262050 = 0.
9145
Factor 28*i**4 + 192*i**3 + 420*i**2 + 272*i - 48.
4*(i + 2)**2*(i + 3)*(7*i - 1)
Factor p**3/4 + 7*p**2/2 + 63*p/4 + 45/2.
(p + 3)*(p + 5)*(p + 6)/4
Factor 28*o**2 - 648*o + 92.
4*(o - 23)*(7*o - 1)
Factor 2*p**5/9 + 4*p**4/3 + 2*p**3/9 - 16*p**2/3 + 32*p/9.
2*p*(p - 1)**2*(p + 4)**2/9
Solve -3*a**3/4 + 15*a**2/4 + 21*a/2 = 0.
-2, 0, 7
Find z such that -z**5 + 8*z**4 - 4*z**3 - 22*z**2 + 5*z + 14 = 0.
-1, 1, 2, 7
Factor 15*d**3 - 591*d**2 + 804*d - 228.
3*(d - 38)*(d - 1)*(5*d - 2)
Solve 2*y**5/7 - 10*y**4/7 - 10*y**3/7 + 50*y**2/7 + 8*y/7 - 40/7 = 0 for y.
-2, -1, 1, 2, 5
Suppose -2*w**3/11 - 2*w**2/11 + 144*w/11 = 0. Calculate w.
-9, 0, 8
Factor -2*b**5/3 - 56*b**4 + 174*b**3.
-2*b**3*(b - 3)*(b + 87)/3
Factor 25*i**3 - 40*i**2 - 155*i - 90.
5*(i + 1)**2*(5*i - 18)
Solve -a**5 - 28*a**4 - 121*a**3 - 134*a**2 + 100*a + 184 = 0 for a.
-23, -2, 1
Solve 3*t**3 - 21*t**2 + 24*t + 48 = 0.
-1, 4
Factor 2*k**2/11 - 328*k/11 + 13448/11.
2*(k - 82)**2/11
Find a such that -24*a**4 + 142*a**3 + 12*a**2 = 0.
-1/12, 0, 6
Determine w so that -35*w**2 - 205*w + 30 = 0.
-6, 1/7
Factor 4*y**2/3 + 28*y/3 - 24.
4*(y - 2)*(y + 9)/3
Factor -3*n**3 + 21*n + 18.
-3*(n - 3)*(n + 1)*(n + 2)
Factor 5*d**3/4 - 35*d**2/4 + 35*d/4 + 75/4.
5*(d - 5)*(d - 3)*(d + 1)/4
What is v in 12*v**4 - 20*v**3 - 20*v**2 + 20*v + 8 = 0?
-1, -1/3,