 What is g?
-128, 2
Factor -4*x**4 + 20*x**3 - 24*x**2.
-4*x**2*(x - 3)*(x - 2)
Factor u**4/2 - u**3 - 11*u**2/2 + 6*u + 18.
(u - 3)**2*(u + 2)**2/2
Suppose -2*n**2 + 72*n + 74 = 0. Calculate n.
-1, 37
Suppose 2*k**4 + 8*k**3 - 22*k**2 + 12*k = 0. What is k?
-6, 0, 1
Determine m so that 4*m**2/7 + 52*m/7 = 0.
-13, 0
Solve h**2 + 9*h - 36 = 0 for h.
-12, 3
What is r in 3*r**4 + 6*r**3 - 81*r**2 + 156*r - 84 = 0?
-7, 1, 2
Factor -2*n**5 + 24*n**4 - 42*n**3 + 20*n**2.
-2*n**2*(n - 10)*(n - 1)**2
Let v**4 - 5*v**3 - 14*v**2 = 0. Calculate v.
-2, 0, 7
Determine w, given that -5*w**5 - 35*w**4/2 - 15*w**3 + 5*w**2/2 + 5*w = 0.
-2, -1, 0, 1/2
Factor 2*a**3 - 218*a**2 - 442*a - 222.
2*(a - 111)*(a + 1)**2
Determine j, given that -2*j**3/3 - 3826*j**2/3 - 3824*j/3 = 0.
-1912, -1, 0
Factor 5*i**2 - 4280*i - 4285.
5*(i - 857)*(i + 1)
Factor -3*l**3/8 + 4179*l**2/4 - 5821347*l/8.
-3*l*(l - 1393)**2/8
Factor 2*q**5/3 + 20*q**4/3 - 16*q**3.
2*q**3*(q - 2)*(q + 12)/3
Factor -4*a**3 + 14*a**2 - 14*a + 4.
-2*(a - 2)*(a - 1)*(2*a - 1)
Suppose 5*y**5 - 4*y**4 - 7*y**3 + 6*y**2 = 0. What is y?
-6/5, 0, 1
Factor -v**4/7 - 8*v**3/7 + 45*v**2/7 - 36*v/7.
-v*(v - 3)*(v - 1)*(v + 12)/7
Factor 4*p**2 + 33568*p + 70425664.
4*(p + 4196)**2
Solve -249*d**2 + 999*d - 12 = 0.
1/83, 4
Factor 3*w**4 + 96*w**3 + 93*w**2.
3*w**2*(w + 1)*(w + 31)
Let -d**3/4 - 9*d**2/4 - 3*d/2 + 4 = 0. Calculate d.
-8, -2, 1
Factor -20*u**3 + 72*u**2 + 32*u.
-4*u*(u - 4)*(5*u + 2)
Solve -5*d**4 + 35*d**3 + 5*d**2 - 35*d = 0 for d.
-1, 0, 1, 7
Find a such that 3*a**4/4 + 111*a**3/4 + 957*a**2/4 - 1071*a/4 = 0.
-21, -17, 0, 1
Factor -4*h**4 + 64*h**3 - 180*h**2 - 648*h.
-4*h*(h - 9)**2*(h + 2)
Suppose 2883*b**3 + 10974*b**2 - 2205*b + 108 = 0. What is b?
-4, 3/31
Factor -23*f**5/5 + 38*f**4/5 - 7*f**3/5 - 8*f**2/5.
-f**2*(f - 1)**2*(23*f + 8)/5
Let -3*m**4/7 + 57*m**3/7 - 390*m**2/7 + 1116*m/7 - 1080/7 = 0. Calculate m.
2, 5, 6
Let -x**2 - 78*x - 1521 = 0. Calculate x.
-39
Let -8*a**2 + 235*a - 87 = 0. Calculate a.
3/8, 29
Factor 6*g**4 + 82*g**3/3 + 112*g**2/3 + 40*g/3.
2*g*(g + 2)**2*(9*g + 5)/3
Determine p, given that -5*p**2 + 20*p + 25 = 0.
-1, 5
Suppose -4*k**5 - 40*k**4 + 224*k**3 = 0. What is k?
-14, 0, 4
Find c such that 40*c**5 - 834*c**4/5 - 2868*c**3/5 + 4126*c**2/5 - 552*c/5 - 72/5 = 0.
-3, -2/25, 1/4, 1, 6
Factor -2*h**4 + 24*h**3 + 236*h**2 + 552*h + 342.
-2*(h - 19)*(h + 1)*(h + 3)**2
Determine k so that k**4 - 408*k**3 + 62424*k**2 - 4244832*k + 108243216 = 0.
102
What is a in 5*a**2 - 405*a = 0?
0, 81
Find t such that -t**3/3 - 4*t**2/3 + 5*t/3 = 0.
-5, 0, 1
Suppose 4*h**5 + 248*h**4 + 3320*h**3 - 16112*h**2 + 21252*h - 8712 = 0. What is h?
-33, 1, 2
Factor 3*k**4 + 708*k**3.
3*k**3*(k + 236)
Factor 3*n**3 - 75*n**2 - 78*n.
3*n*(n - 26)*(n + 1)
Factor 4*u**2 - 260*u + 976.
4*(u - 61)*(u - 4)
Find q such that -q**5/10 + 16*q**4/5 - 61*q**3/2 + 341*q**2/5 + 546*q/5 - 1764/5 = 0.
-2, 3, 14
Solve -4*a**2/3 - 28*a/3 + 32/3 = 0.
-8, 1
Let -4*i**5 - 14*i**4 + 20*i**3 + 50*i**2 + 4*i - 16 = 0. What is i?
-4, -1, 1/2, 2
Determine u, given that -2*u**2 + 680*u - 9128 = 0.
14, 326
Solve -2*c**4/11 + 38*c**3/11 + 128*c**2/11 + 8*c = 0 for c.
-2, -1, 0, 22
Determine g, given that 3*g**3/4 + 6*g**2 + 12*g = 0.
-4, 0
Let -409*l**2/6 + 410*l/3 - 2/3 = 0. What is l?
2/409, 2
Factor r**3/8 - 19*r**2/8 + 63*r/8 - 45/8.
(r - 15)*(r - 3)*(r - 1)/8
What is u in -2*u**4/13 + 774*u**3/13 + 1554*u**2/13 + 778*u/13 = 0?
-1, 0, 389
Factor -4*z**2 - 92*z.
-4*z*(z + 23)
Factor 2*a**3/9 - 250*a**2/9 - 506*a/9 - 254/9.
2*(a - 127)*(a + 1)**2/9
Solve -v**4 + 56*v**3 - 1026*v**2 + 5776*v + 6859 = 0.
-1, 19
Factor -w**4/7 + 95*w**3/7 - 2888*w**2/7 + 27436*w/7.
-w*(w - 38)**2*(w - 19)/7
Find x, given that 2*x**5 + 12*x**4 + 4*x**3 - 96*x**2 - 198*x - 108 = 0.
-3, -2, -1, 3
Factor 2*f**3 - 582*f**2 - 2*f + 582.
2*(f - 291)*(f - 1)*(f + 1)
Factor 2*d**5 - 36*d**4 + 122*d**3 + 360*d**2 + 200*d.
2*d*(d - 10)**2*(d + 1)**2
Suppose 4*h**2 - 712*h - 716 = 0. What is h?
-1, 179
Let -h**3/3 - 40*h**2/3 + 83*h/3 - 14 = 0. Calculate h.
-42, 1
Determine u so that 2*u**5 - 6*u**4 + 4*u**3 = 0.
0, 1, 2
Let 3*v**3/7 + 354*v**2/7 + 699*v/7 + 348/7 = 0. What is v?
-116, -1
Factor u**3/5 - 21*u**2/5 + 39*u/5 - 19/5.
(u - 19)*(u - 1)**2/5
Suppose p**2/6 - 601*p/6 - 201 = 0. Calculate p.
-2, 603
Factor -m**3/2 + 2*m**2 - 2*m.
-m*(m - 2)**2/2
Factor -3*y**2 + 39*y + 90.
-3*(y - 15)*(y + 2)
Let 4*r**3 + 4*r**2 - 16*r - 16 = 0. Calculate r.
-2, -1, 2
Find g such that 2*g**2 - 10*g - 168 = 0.
-7, 12
Factor -2*r**2/21 - 80*r/21 - 38.
-2*(r + 19)*(r + 21)/21
Factor 2*z**4/5 - 22*z**3/5 - 8*z**2/5 + 88*z/5.
2*z*(z - 11)*(z - 2)*(z + 2)/5
Determine q, given that q**5/3 + 10*q**4/3 + 9*q**3 + 6*q**2 = 0.
-6, -3, -1, 0
Determine h, given that 2*h**4/5 - 26*h**3/5 + 66*h**2/5 + 154*h/5 - 196/5 = 0.
-2, 1, 7
Factor -z**2/8 + 87*z/4 + 175/8.
-(z - 175)*(z + 1)/8
Factor -2*r**4/11 + 298*r**3/11.
-2*r**3*(r - 149)/11
Factor -9*l**2/8 - 840*l - 1119/2.
-3*(l + 746)*(3*l + 2)/8
Find a such that -4*a**2 + 4*a = 0.
0, 1
Let -18*b**4 - 264*b**3 - 608*b**2 - 384*b = 0. Calculate b.
-12, -4/3, 0
Determine p, given that -2*p**4/7 + 86*p**3/7 - 678*p**2/7 + 594*p/7 = 0.
0, 1, 9, 33
Let -18*n**3/5 + 390*n**2 + 1306*n/5 + 218/5 = 0. Calculate n.
-1/3, 109
Factor -5*r**3 + 635*r**2 + 5*r - 635.
-5*(r - 127)*(r - 1)*(r + 1)
Solve 3*o**2 - 15*o - 42 = 0 for o.
-2, 7
Suppose -z**3 + 22*z**2 - 160*z + 384 = 0. Calculate z.
6, 8
Factor 2*x**3/5 + 44*x**2/5 - 94*x/5 + 48/5.
2*(x - 1)**2*(x + 24)/5
Let -m**2/5 + 133*m/5 = 0. What is m?
0, 133
Let 3*o**3 - 27*o**2 + 60*o - 36 = 0. What is o?
1, 2, 6
Find i, given that i**2 + 114*i + 224 = 0.
-112, -2
Let -k**2 - 428*k = 0. What is k?
-428, 0
Factor 3*w**3/4 + 117*w**2 - 471*w/4.
3*w*(w - 1)*(w + 157)/4
Factor 10*s**2/7 + 96*s + 134/7.
2*(s + 67)*(5*s + 1)/7
Solve -12*h**4/7 + 285*h**3/7 + 1476*h**2/7 - 1329*h/7 - 60 = 0 for h.
-5, -1/4, 1, 28
Determine g so that -2*g**2/13 - 56*g/13 + 58/13 = 0.
-29, 1
Factor 5*n**4 + 470*n**3 + 14465*n**2 + 160740*n + 584820.
5*(n + 9)**2*(n + 38)**2
Let -2*b**5/3 - 2*b**4 + 34*b**3/3 + 26*b**2 + 40*b/3 = 0. What is b?
-5, -1, 0, 4
Find y such that -y**3/3 + 2*y**2/3 + y = 0.
-1, 0, 3
What is s in 4*s**2 + 368*s + 364 = 0?
-91, -1
Let -38*q**5 - 82*q**4 - 50*q**3 - 6*q**2 = 0. What is q?
-1, -3/19, 0
Find s such that -27*s**2 + 5484*s - 835396/3 = 0.
914/9
Find r such that 49*r**4 - 406*r**3 + 1149*r**2 - 1276*r + 484 = 0.
1, 22/7
Factor -3*r**3/4 + 99*r**2/4 - 270*r + 972.
-3*(r - 12)**2*(r - 9)/4
Factor -x**3/3 + 31*x/3 + 10.
-(x - 6)*(x + 1)*(x + 5)/3
Suppose 7*y**5 + 58*y**4 + 170*y**3 + 212*y**2 + 111*y + 18 = 0. What is y?
-3, -1, -2/7
Factor 8*y**3/5 + 212*y**2/5 + 1456*y/5 + 676/5.
4*(y + 13)**2*(2*y + 1)/5
What is m in 2*m**3/3 - 2*m**2 - 2*m/3 + 2 = 0?
-1, 1, 3
Let 3*l**4 + 6*l**3 - 48*l**2 - 6*l + 45 = 0. Calculate l.
-5, -1, 1, 3
Factor 2*u**2/9 - 28*u/9.
2*u*(u - 14)/9
Solve -2*t**5/7 + 8*t**4 - 444*t**3/7 + 104*t**2 - 338*t/7 = 0.
0, 1, 13
Factor -s**3 + 9*s**2 - 6*s - 16.
-(s - 8)*(s - 2)*(s + 1)
Let -7*p**3 + 178*p**2 + 975*p - 450 = 0. Calculate p.
-5, 3/7, 30
Solve 5*u**2 + 1080*u + 58320 = 0.
-108
Factor 3*h**2/2 - 869*h/2 + 289.
(h - 289)*(3*h - 2)/2
Factor -m**3/2 + 13*m**2 - 25*m/2.
-m*(m - 25)*(m - 1)/2
Find b, given that -3*b**2 - 210*b - 1488 = 0.
-62, -8
Factor 2*h**3 - 58*h**2 - 258*h - 198.
2*(h - 33)*(h + 1)*(h + 3)
Solve -2*c**2/5 + 18*c + 1508/5 = 0.
-13, 58
Find y such that 4*y**5 - 4*y**4 - 12*y**3 + 4*y**2 + 8*y = 0.
-1, 0, 1, 2
Factor -5*h**3 - 60*h**2 - 175*h - 120.
-5*(h + 1)*(h + 3)*(h + 8)
Factor -f**5 - 45*f**4 + 93*f**3 - 47*f**2.
-f**2*(f - 1)**2*(f + 47)
Let o**5/2 + 22*o**4 + 265*o**3/2 + 111*o**2 = 0. What is o?
-37, -6, -1, 0
Let -3*p**5/5 + 27*p**4/5 - 81*p**3/5 + 69*p**2/5 + 72*p/5 - 108/5 = 0. Calculate p.
-1, 2, 3
What is j in -2*j**2 - 2144*j + 4296 = 0?
-1074, 2
Suppose -12*o**2 + 6488*o + 2164 = 0. Calculate o.
-1/3, 541
Factor -4*y**2/3 + 4*y - 8/3.
-4*(y - 2)*(y - 1)/3
Factor -3*i**2 + 492*i - 20172.
-3*(i - 82)**2
Factor -2*a**4 + 236*a**3 - 6200*a**2 - 46128*a.
-2*a*(a - 62)**2*(a + 6)
Factor 4*x**3 + 1044*x**2 + 2060*x - 3108.
4*(x - 1)*(x + 3)*(x + 259)
Suppose 2*h**5/3 + 476*h**4/3 + 28322*h**3/3 = 0. Calculate h.
-119,