w**2 + 8*w.
2*w*(w - 4)*(w - 1)**3
Solve 5*b**4 - 240*b**3 + 460*b**2 = 0.
0, 2, 46
What is h in -13*h**5 - 327*h**4 + 340*h**3 + 1360*h**2 - 1152*h - 208 = 0?
-26, -2, -2/13, 1, 2
Find h, given that -h**3/9 + 442*h**2/9 - 47945*h/9 - 198916/9 = 0.
-4, 223
Solve -s**4 - 43*s**3 - 391*s**2 + 1587*s = 0 for s.
-23, 0, 3
Factor 4*u**3 - 16*u**2 + 4*u + 24.
4*(u - 3)*(u - 2)*(u + 1)
Determine o, given that 39*o**3 - 4*o**2 - 39*o + 4 = 0.
-1, 4/39, 1
Determine t, given that -3*t**4/7 - 51*t**3/7 - 45*t**2/7 + 51*t/7 + 48/7 = 0.
-16, -1, 1
Factor z**4 + 364*z**3 + 725*z**2 + 362*z.
z*(z + 1)**2*(z + 362)
Suppose 5*w**3 + 570*w**2 + 21660*w + 274360 = 0. What is w?
-38
Factor -3*f**4 - 558*f**3 - 1107*f**2 - 552*f.
-3*f*(f + 1)**2*(f + 184)
What is u in 2*u**4/7 - 62*u**2/7 + 12*u + 144/7 = 0?
-6, -1, 3, 4
Let -14*i**4 - 760*i**3 - 3016*i**2 - 800*i = 0. Calculate i.
-50, -4, -2/7, 0
Factor 2*v**2 + 30*v - 32.
2*(v - 1)*(v + 16)
Determine o, given that 3*o**3 - 6*o**2 - 9*o = 0.
-1, 0, 3
Let -2*j**3/7 - 1430*j**2/7 - 254896*j/7 + 256328/7 = 0. Calculate j.
-358, 1
Factor 5*m**3 - 295*m**2 + 4495*m - 4205.
5*(m - 29)**2*(m - 1)
Suppose -2*n**2/7 + 6*n/7 + 80/7 = 0. Calculate n.
-5, 8
Factor 2*i**5 + 10*i**4 + 6*i**3 - 10*i**2 - 8*i.
2*i*(i - 1)*(i + 1)**2*(i + 4)
Factor 5*k**3 + 40*k**2 + 105*k + 90.
5*(k + 2)*(k + 3)**2
Factor h**3/5 + 21*h**2/5 + 144*h/5 + 64.
(h + 5)*(h + 8)**2/5
Solve t**5 - 2*t**3 + t = 0 for t.
-1, 0, 1
Factor 5*u**4/4 + 759*u**3/4 - 38*u**2.
u**2*(u + 152)*(5*u - 1)/4
Factor -k**3/5 + 36*k/5.
-k*(k - 6)*(k + 6)/5
Factor -y**3 - 129*y**2 - 4095*y + 4225.
-(y - 1)*(y + 65)**2
Suppose -2*b**5/3 + 4*b**4/3 + 8*b**3/3 - 4*b**2/3 - 2*b = 0. Calculate b.
-1, 0, 1, 3
Find w such that -5*w**2 + 2530*w - 320045 = 0.
253
Factor -5*k**5 + 10*k**4 - 5*k**3.
-5*k**3*(k - 1)**2
Suppose -8*v**2/3 + 238*v/3 + 20 = 0. Calculate v.
-1/4, 30
Determine d, given that 2*d**4/3 + 8*d**3 - 46*d**2 - 160*d/3 = 0.
-16, -1, 0, 5
Find x such that 21*x**3/2 + 66*x**2 - 2799*x/2 - 405 = 0.
-15, -2/7, 9
Factor 4*n**2 - 8*n.
4*n*(n - 2)
Suppose -o**4 - 7*o**3/2 - 3*o**2/2 + 4*o + 2 = 0. Calculate o.
-2, -1/2, 1
Solve -251*m**4/3 + 250*m**3 - 248*m**2 + 242*m/3 + 1 = 0.
-3/251, 1
Find d, given that d**2/4 + 75*d/2 - 151/4 = 0.
-151, 1
Solve d**3/3 + d**2 + 2*d/3 = 0 for d.
-2, -1, 0
Solve m**3/4 + 17*m**2/2 + 31*m/4 - 33/2 = 0.
-33, -2, 1
Determine k so that 3*k**3/5 + 2673*k**2 + 3969405*k + 1964855475 = 0.
-1485
Factor -5*w**2/4 - 205*w/4 - 195/2.
-5*(w + 2)*(w + 39)/4
Factor 3*u**3/2 - 12*u**2 + 39*u/2 - 9.
3*(u - 6)*(u - 1)**2/2
Let 4*p**2 - 1180*p + 6936 = 0. Calculate p.
6, 289
What is n in -2*n**4/5 - 24*n**3/5 + 324*n**2/5 - 216*n + 1134/5 = 0?
-21, 3
Factor -4*f**2/9 + 18*f + 430/9.
-2*(f - 43)*(2*f + 5)/9
Find t such that -5*t**3 + 200*t**2 - 740*t + 720 = 0.
2, 36
Factor 27*z**4 + 15*z**3 - 32*z**2/3 + 4*z/3.
z*(z + 1)*(9*z - 2)**2/3
Factor 5*o**4 + 1300*o**3 + 2560*o**2 - 5200*o - 10320.
5*(o - 2)*(o + 2)**2*(o + 258)
Factor 2*x**4/3 - 2*x**3 + 2*x**2/3 + 2*x - 4/3.
2*(x - 2)*(x - 1)**2*(x + 1)/3
Find t such that -3*t**4/7 + 6*t**3 - 75*t**2/7 + 36*t/7 = 0.
0, 1, 12
Factor -2*t**2 - 4*t - 2.
-2*(t + 1)**2
Factor -4*r**2 - 76*r - 312.
-4*(r + 6)*(r + 13)
Factor 4*n**3 + 20*n**2 - 24*n.
4*n*(n - 1)*(n + 6)
Suppose 3*z**5/7 - 3*z**3/7 = 0. Calculate z.
-1, 0, 1
Determine x so that 4*x**3 + 708*x**2 + 41772*x + 821516 = 0.
-59
Factor -v**4 - 2*v**3 + 4*v**2 + 2*v - 3.
-(v - 1)**2*(v + 1)*(v + 3)
Solve 5*f**5 + 58*f**4 + 78*f**3 - 28*f**2 - 83*f - 30 = 0.
-10, -1, -3/5, 1
Factor -5*r**2 - 95*r + 600.
-5*(r - 5)*(r + 24)
Let -2*y**4/13 + 38*y**3/13 - 88*y**2/13 - 152*y/13 + 384/13 = 0. Calculate y.
-2, 2, 3, 16
Find j such that -2*j**2/7 + 20*j = 0.
0, 70
Factor 85*z**4 - 605*z**3 + 580*z**2 - 60*z.
5*z*(z - 6)*(z - 1)*(17*z - 2)
Factor -203*i**5/3 - 37*i**4/3 + 2*i**3.
-i**3*(7*i + 2)*(29*i - 3)/3
Factor -4*o**2 - 5264*o.
-4*o*(o + 1316)
Let 2*y**2 + 2*y - 112 = 0. Calculate y.
-8, 7
Factor -k**4/6 + 4*k**3/3 - 8*k**2/3.
-k**2*(k - 4)**2/6
Let 240*u**4 + 2200*u**3 + 335*u**2 - 230*u - 45 = 0. Calculate u.
-9, -1/4, 1/3
Solve -3*f**5/8 - 57*f**4/8 - 189*f**3/8 - 123*f**2/8 + 24*f + 45/2 = 0.
-15, -2, -1, 1
Find c such that 4*c**4 - 12*c**3 - 52*c**2 + 108*c + 144 = 0.
-3, -1, 3, 4
Factor p**4 + 8*p**3 + 15*p**2 - 8*p - 16.
(p - 1)*(p + 1)*(p + 4)**2
What is u in -8*u**2 - 236*u + 120 = 0?
-30, 1/2
What is j in 3*j**2 - 17598*j + 25807467 = 0?
2933
Factor -5*h**2 + 845*h + 850.
-5*(h - 170)*(h + 1)
Find v, given that 2*v**4/5 + 2*v**3 - 36*v**2/5 - 8*v + 112/5 = 0.
-7, -2, 2
Factor -4*u**4 + u**3 + 4*u**2 - u.
-u*(u - 1)*(u + 1)*(4*u - 1)
Determine y, given that -3*y**2/5 + 33*y/5 + 36/5 = 0.
-1, 12
Solve b**2/7 + 85*b/7 - 264/7 = 0 for b.
-88, 3
Factor -2*z**2 - 296*z.
-2*z*(z + 148)
Suppose -2*a**5/13 - 270*a**4/13 - 9510*a**3/13 - 26930*a**2/13 - 26400*a/13 - 8712/13 = 0. What is a?
-66, -1
Let 2*l**2/5 - 2*l = 0. Calculate l.
0, 5
Factor 5*c**2 - 280*c - 580.
5*(c - 58)*(c + 2)
Factor 2*j**4 - 24*j**2 - 32*j.
2*j*(j - 4)*(j + 2)**2
Factor 5*u**3 - 115*u**2 - 1160*u - 2480.
5*(u - 31)*(u + 4)**2
Solve -49*v**4/2 + 91*v**3/2 + 243*v**2/2 - 243*v/2 + 27 = 0.
-2, 3/7, 3
Solve -5*i**5 - 100*i**4 - 490*i**3 + 100*i**2 + 495*i = 0.
-11, -9, -1, 0, 1
Factor -y**4 + 3*y**3 + 2*y**2 - 12*y + 8.
-(y - 2)**2*(y - 1)*(y + 2)
Let -9*l**5 - 492*l**4 - 9960*l**3 - 87750*l**2 - 273375*l + 101250 = 0. What is l?
-15, -10, 1/3
What is r in r**5/5 - 36*r**4/5 + 34*r**3/5 + 36*r**2/5 - 7*r = 0?
-1, 0, 1, 35
Factor -27*w**4 - 141*w**3 - 138*w**2 - 24*w.
-3*w*(w + 1)*(w + 4)*(9*w + 2)
Factor -7*i**4/4 - 169*i**3/2 - 1368*i**2 - 7552*i - 2048.
-(i + 16)**3*(7*i + 2)/4
Determine p so that 1959*p**3 + 9*p**2 = 0.
-3/653, 0
Find b, given that 3*b**4/5 - 1986*b**3/5 + 326691*b**2/5 + 659352*b/5 + 330672/5 = 0.
-1, 332
Let -2*c**4/7 - 76*c**3/7 - 794*c**2/7 - 1368*c/7 - 648/7 = 0. What is c?
-18, -1
Suppose f**2/2 + 59*f + 3481/2 = 0. Calculate f.
-59
Factor -w**5/4 + 3*w**3/2 - 2*w**2 + 3*w/4.
-w*(w - 1)**3*(w + 3)/4
Determine q, given that -4*q**3 - 696*q**2 - 12720*q - 61600 = 0.
-154, -10
Suppose -25*r**5 + 140*r**4 - 15*r**3 - 280*r**2 - 100*r = 0. What is r?
-1, -2/5, 0, 2, 5
Suppose -3*c**4/4 - 9*c**3/2 + 3*c**2/4 + 9*c/2 = 0. What is c?
-6, -1, 0, 1
Let -2*a**3/11 + 24*a**2/11 + 30*a/11 - 52/11 = 0. What is a?
-2, 1, 13
Solve -141*m**2/2 + 210*m + 9/2 = 0 for m.
-1/47, 3
Factor g**2 - 15*g - 216.
(g - 24)*(g + 9)
Determine g so that -4*g**5 - 124*g**4 + 156*g**3 + 892*g**2 - 152*g - 768 = 0.
-32, -2, -1, 1, 3
Factor -2*z**3/3 - 16*z**2/3 + 38*z/3 - 20/3.
-2*(z - 1)**2*(z + 10)/3
Let 6*u**2/5 - 156*u/5 + 30 = 0. Calculate u.
1, 25
Factor 2*o**2/21 + 8*o/3 - 110/7.
2*(o - 5)*(o + 33)/21
Find n such that 45*n**2 - 4265*n - 950 = 0.
-2/9, 95
Factor -2*z**4 + 254*z**3 - 7932*z**2 - 8704*z + 16384.
-2*(z - 64)**2*(z - 1)*(z + 2)
Factor g**4/2 - 6*g**3 + 17*g**2/2 + 45*g.
g*(g - 9)*(g - 5)*(g + 2)/2
Suppose 2*q**2 + 96*q + 640 = 0. Calculate q.
-40, -8
Find q such that -5*q**4 - 60*q**3 + 225*q**2 = 0.
-15, 0, 3
Factor -3*j**2/8 - 57*j/8 + 63/4.
-3*(j - 2)*(j + 21)/8
Let -2*c**5 - 32*c**4 - 170*c**3 - 300*c**2 = 0. What is c?
-6, -5, 0
Factor -2*r**2/11 + 834*r/11 + 2520/11.
-2*(r - 420)*(r + 3)/11
Factor o**2/3 + 86*o/3 - 89.
(o - 3)*(o + 89)/3
Factor -27*v**4/4 + 621*v**3/2 - 4653*v**2 + 41971*v/2 + 103823/4.
-(v + 1)*(3*v - 47)**3/4
Factor 6*l**4 - 286*l**3 - 390*l**2 - 98*l.
2*l*(l - 49)*(l + 1)*(3*l + 1)
Factor 3*k**2 + 24*k + 45.
3*(k + 3)*(k + 5)
Let i**4 - 5*i**3 = 0. What is i?
0, 5
Factor -3*y**2 + 4326*y - 1559523.
-3*(y - 721)**2
Factor -4*p**2 - 652*p - 648.
-4*(p + 1)*(p + 162)
Suppose 31*h**2 - 2*h = 0. Calculate h.
0, 2/31
Suppose -4*w**2/5 + 87*w/5 + 567/5 = 0. Calculate w.
-21/4, 27
Determine t so that -5*t**3 - 75*t**2 + 1785*t - 7105 = 0.
-29, 7
Suppose -14*b**4 - 200*b**3 - 616*b**2 - 160*b = 0. Calculate b.
-10, -4, -2/7, 0
Factor 3*d**3 + 9*d**2 + 6*d.
3*d*(d + 1)*(d + 2)
Find c such that -18*c**5 - 60*c**4 - 2*c**3 + 56*c**2 + 24*c = 0.
-3, -2/3, 0, 1
Factor -3*k**2/4 + 36*k - 432.
-3*(k - 24)**2/4
Factor b**3 - 4*b**2 - b + 4.
(b - 4)*(b - 1)*(b + 1)
Determine r so that -4*r**4 + 16*r**3 + 140*r**2 - 24*r - 576 = 0.
-3, 2, 8
Factor 2*a**5/3 + 16*a**