12
Solve -2*d**3/3 + 382*d**2/3 - 6016*d - 6144 = 0.
-1, 96
Find f, given that 4*f**3 - 8*f**2 - 64*f + 128 = 0.
-4, 2, 4
Solve -13*x**4/8 - 75*x**3/8 - 69*x**2/4 - 17*x/2 + 3 = 0 for x.
-2, 3/13
Factor 3*v**3 - 24*v**2 - 159*v + 180.
3*(v - 12)*(v - 1)*(v + 5)
What is q in -4*q**4/7 - 204*q**3/7 - 436*q**2 - 11316*q/7 - 8464/7 = 0?
-23, -4, -1
Let h**2/6 + 605*h/3 + 366025/6 = 0. Calculate h.
-605
Suppose -t**4/4 - 7*t**3/2 - 33*t**2/4 + t + 11 = 0. What is t?
-11, -2, 1
Find b, given that 4*b**2/9 + 32*b/3 + 28 = 0.
-21, -3
Let 3*t**2 + 108*t + 972 = 0. What is t?
-18
Factor -r**4/6 + 11*r**3/6 - r**2/3 - 46*r/3 + 20.
-(r - 10)*(r - 2)**2*(r + 3)/6
Factor 3*b**3/8 - 33*b**2 - 2877*b/8 - 3087/4.
3*(b - 98)*(b + 3)*(b + 7)/8
Factor o**4 + 109*o**3/2 + 756*o**2 + 729*o/2.
o*(o + 27)**2*(2*o + 1)/2
What is q in -3*q**3/2 - 45*q**2/2 + 111*q/2 + 153/2 = 0?
-17, -1, 3
Solve -5*r**2 - 2190*r - 239805 = 0.
-219
Factor -5*v**4 - 285*v**3 + 1195*v**2 - 1515*v + 610.
-5*(v - 2)*(v - 1)**2*(v + 61)
Factor -s**3 - 89*s**2 + 377*s + 465.
-(s - 5)*(s + 1)*(s + 93)
Factor -i**4/8 - i**3/8 + 3*i**2/8 + 5*i/8 + 1/4.
-(i - 2)*(i + 1)**3/8
What is v in -3*v**3/5 + 1539*v**2/5 + 3*v/5 - 1539/5 = 0?
-1, 1, 513
Let 63*v**4/5 - 10326*v**3/5 - 21837*v**2/5 - 12444*v/5 - 996/5 = 0. Calculate v.
-1, -2/21, 166
Factor r**5 + 9*r**4.
r**4*(r + 9)
Suppose x**2/3 + 566*x + 240267 = 0. What is x?
-849
What is a in 2*a**4/19 + 4*a**3/19 - 54*a**2/19 + 216/19 = 0?
-6, -2, 3
Determine d, given that d**3 + 40*d**2 = 0.
-40, 0
Factor -2*y**3 - 20*y**2 - 32*y.
-2*y*(y + 2)*(y + 8)
Let 2*k**5/11 - 26*k**4/11 + 86*k**3/11 + 34*k**2/11 - 304*k/11 - 224/11 = 0. What is k?
-1, 4, 7
Factor 2*o**2/7 - 4*o + 14.
2*(o - 7)**2/7
Factor 20*v**3 + 88*v**2 - 92*v - 160.
4*(v + 1)*(v + 5)*(5*v - 8)
What is g in -25*g**4 + 40*g**3 + 220*g**2 + 80*g = 0?
-2, -2/5, 0, 4
Factor -3*h**4/5 + 42*h**3/5 - 216*h**2/5 + 486*h/5 - 81.
-3*(h - 5)*(h - 3)**3/5
Factor -9*c**2/2 - 61*c/2 - 26.
-(c + 1)*(9*c + 52)/2
Factor t**5/4 - 7*t**4/2 + 8*t**3 + 32*t**2.
t**2*(t - 8)**2*(t + 2)/4
Factor -2*c**2 + 94*c - 264.
-2*(c - 44)*(c - 3)
Let -x**3/6 + 5*x**2/3 + 287*x/6 + 46 = 0. Calculate x.
-12, -1, 23
Factor -5*q**3/7 - 33*q**2/7 - 9*q - 27/7.
-(q + 3)**2*(5*q + 3)/7
Factor -2*k**3 - 44*k**2 - 234*k.
-2*k*(k + 9)*(k + 13)
Determine x so that -5*x**5 + 195*x**4 - 2465*x**3 + 9165*x**2 + 11830*x = 0.
-1, 0, 13, 14
Factor -2*a**3/5 + 98*a**2 - 29766*a/5 - 30258/5.
-2*(a - 123)**2*(a + 1)/5
Factor -2*v**3 - 3528*v**2 - 2074464*v - 406594944.
-2*(v + 588)**3
Factor 3*y**3 - 45*y**2 + 36*y + 84.
3*(y - 14)*(y - 2)*(y + 1)
Determine v so that -21*v**3 - 2865*v**2 - 4059*v - 1215 = 0.
-135, -1, -3/7
Solve -3*x**3 - 102*x**2 - 195*x - 96 = 0 for x.
-32, -1
Factor -4*b**2 - 116*b.
-4*b*(b + 29)
Factor t**2/5 - 19*t/5 - 4.
(t - 20)*(t + 1)/5
Solve -5*p**5 + 25*p**4 + 45*p**3 - 65*p**2 - 140*p - 60 = 0.
-1, 2, 6
Let i**3/3 - 16*i**2 + 92*i/3 = 0. What is i?
0, 2, 46
Factor -15*b**2 - 66*b - 72.
-3*(b + 2)*(5*b + 12)
Factor 1764*s**3 + 6720*s**2 - 1328*s + 64.
4*(s + 4)*(21*s - 2)**2
Factor -q**4/5 - 16*q**3 - 157*q**2/5 - 78*q/5.
-q*(q + 1)**2*(q + 78)/5
Factor 5*b**5 + 5*b**4 - 10*b**3.
5*b**3*(b - 1)*(b + 2)
What is o in 2*o**4 - 14*o**3 - 56*o**2 - 40*o = 0?
-2, -1, 0, 10
Determine k so that k**5/6 - 13*k**4/2 + 17*k**3 + 122*k**2/3 - 172*k + 144 = 0.
-3, 2, 36
Solve -8*z**4 + 20*z**3 - 4*z**2 - 8*z = 0 for z.
-1/2, 0, 1, 2
Solve -5*b**5/3 - 5*b**4 + 5*b**3/3 + 35*b**2/3 - 20/3 = 0 for b.
-2, -1, 1
Solve -6*n**5 + 25*n**4/2 + 7*n**3/2 - 8*n**2 - 2*n = 0.
-2/3, -1/4, 0, 1, 2
Suppose 4*m**2 - 424*m - 428 = 0. What is m?
-1, 107
Factor p**4/5 - 9*p**3 + 594*p**2/5 - 352*p - 480.
(p - 20)**2*(p - 6)*(p + 1)/5
Factor a**4/2 - 289*a**3/2 - 1167*a**2/2 - 1463*a/2 - 293.
(a - 293)*(a + 1)**2*(a + 2)/2
Find r, given that 5*r**3 - 217*r**2 - 132*r = 0.
-3/5, 0, 44
Factor 5*n**2/4 - 5*n/2 + 5/4.
5*(n - 1)**2/4
Find f such that 2*f**3/7 - 8*f**2/7 - 24*f/7 = 0.
-2, 0, 6
Factor 9*w**3/2 + 19*w**2/2 + 11*w/2 + 1/2.
(w + 1)**2*(9*w + 1)/2
What is p in 20*p**4 - 3265*p**3 + 7275*p**2 - 4835*p + 805 = 0?
1/4, 1, 161
Factor -48*w**2/7 - 290*w/7 - 12/7.
-2*(w + 6)*(24*w + 1)/7
Factor w**4/4 + w**3 - 3*w**2/4 - 7*w/2 - 2.
(w - 2)*(w + 1)**2*(w + 4)/4
Find y, given that -84*y**5 + 1840*y**4 - 9988*y**3 - 968*y**2 = 0.
-2/21, 0, 11
Find w such that 42*w**2/11 + 1604*w/11 + 304/11 = 0.
-38, -4/21
Factor -2*p**3 - 36*p**2 + 78*p - 40.
-2*(p - 1)**2*(p + 20)
Determine w so that w**2 + 24*w - 180 = 0.
-30, 6
Factor -4*h**4 + 756*h**3 + 2292*h**2 + 2300*h + 768.
-4*(h - 192)*(h + 1)**3
Factor -4*c**2 - 120*c + 124.
-4*(c - 1)*(c + 31)
Find g, given that g**5/2 - 7*g**4/2 + 5*g**3 = 0.
0, 2, 5
Let -v**5/6 - 5*v**4 - 12*v**3 + 1159*v**2/3 - 1805*v/2 = 0. Calculate v.
-19, 0, 3, 5
Determine o so that -4*o**3/3 - o**2/3 + 4*o/3 + 1/3 = 0.
-1, -1/4, 1
Factor -4*s**2/3 - 40*s.
-4*s*(s + 30)/3
Find s such that -2*s**4/9 + 170*s**3/9 - 158*s**2 + 462*s - 456 = 0.
3, 76
Factor -4*m**2 + 148*m + 152.
-4*(m - 38)*(m + 1)
Let -i**3/8 + 291*i**2/8 - 2628*i - 5329/2 = 0. What is i?
-1, 146
Factor -5*y**2 - 450*y - 10125.
-5*(y + 45)**2
Factor -2*a**5 + 10*a**4 + 172*a**3 - 1580*a**2 + 4150*a - 2750.
-2*(a - 5)**3*(a - 1)*(a + 11)
Solve 4*v**2 - 184*v + 180 = 0 for v.
1, 45
Factor z**2/2 + 155*z/2 + 77.
(z + 1)*(z + 154)/2
Solve 2*l**5/3 - 2*l**4/3 - 4*l**3/3 = 0 for l.
-1, 0, 2
Suppose -4*c**5 + 1120*c**4 - 78388*c**3 - 3368*c**2 + 237440*c - 156800 = 0. What is c?
-2, 1, 140
Determine m so that m**2 + 64*m + 1024 = 0.
-32
Let -2*z**3/7 + 26*z**2/7 - 48*z/7 - 216/7 = 0. Calculate z.
-2, 6, 9
Factor 4*w**2 + 312*w + 6084.
4*(w + 39)**2
Suppose -3*x**2 + 27*x + 30 = 0. Calculate x.
-1, 10
Find w, given that 2*w**3 + 2*w**2 - 16*w - 24 = 0.
-2, 3
Suppose 11*q**3 + 81*q**2 + 13*q - 105 = 0. What is q?
-7, -15/11, 1
Suppose 5*u**5 + 2020*u**4 - 2025*u**3 = 0. Calculate u.
-405, 0, 1
Let 28*h**4/3 - 256*h**3 + 1924*h**2 - 6760*h/3 = 0. What is h?
0, 10/7, 13
Determine d, given that -2*d**5 + 82*d**4 - 308*d**3 + 452*d**2 - 298*d + 74 = 0.
1, 37
Factor 1562*q**2/5 - 4*q/5.
2*q*(781*q - 2)/5
Factor 2*n**2/11 - 3324*n/11 + 1381122/11.
2*(n - 831)**2/11
Suppose 36*f**3/7 - 806*f**2/7 + 4664*f/7 - 242 = 0. What is f?
7/18, 11
Determine x, given that -2*x**5/3 - x**4 + 16*x**3/3 - 5*x**2 + 4*x/3 = 0.
-4, 0, 1/2, 1
Find q, given that q**2/3 - 17*q + 344/3 = 0.
8, 43
Factor 4*g**4/3 - 76*g**3/3 + 168*g**2 - 432*g + 288.
4*(g - 6)**3*(g - 1)/3
Solve 4*k**2/9 + 16*k/3 - 256/9 = 0 for k.
-16, 4
Factor 5*k**3 - 810*k**2 + 3180*k - 3160.
5*(k - 158)*(k - 2)**2
Suppose -z**5/3 - 8*z**4/3 + 139*z**3/3 + 158*z**2/3 - 96*z = 0. Calculate z.
-16, -2, 0, 1, 9
Let 3*n**4/8 + 3771*n**3/4 = 0. Calculate n.
-2514, 0
Factor 102*r**2/7 + 99*r/7 - 3/7.
3*(r + 1)*(34*r - 1)/7
Determine d, given that d**3/7 + 13*d**2/7 - 30*d/7 = 0.
-15, 0, 2
Factor 2*m**4/7 - 18*m**3/7 + 4*m**2/7 + 24*m + 144/7.
2*(m - 6)**2*(m + 1)*(m + 2)/7
Find m, given that 2*m**4/7 - 38*m**2/7 + 12*m/7 + 144/7 = 0.
-4, -2, 3
Suppose 12*j**4 + 4*j**3 - 84*j**2 + 44*j + 24 = 0. Calculate j.
-3, -1/3, 1, 2
Solve -5*y**4 - 8965*y**3 - 26865*y**2 - 26855*y - 8950 = 0 for y.
-1790, -1
Factor -5*u**5 + 35*u**4 - 75*u**3 + 45*u**2.
-5*u**2*(u - 3)**2*(u - 1)
Factor 4*d**5/7 - 44*d**4/7 + 40*d**3/7 + 424*d**2/7 + 76*d + 28.
4*(d - 7)**2*(d + 1)**3/7
Factor 146*o**3/9 + 100*o**2/3 + 18*o + 8/9.
2*(o + 1)**2*(73*o + 4)/9
Determine l so that -3*l**5 - 54*l**4 - 324*l**3 - 648*l**2 = 0.
-6, 0
Find w, given that -w**2/4 + 109*w/4 - 309/2 = 0.
6, 103
Factor -5*j**5/2 + 10*j**4 + 5*j**3 - 30*j**2 - 45*j/2.
-5*j*(j - 3)**2*(j + 1)**2/2
Factor o**4/5 + 9*o**3/5 + 4*o**2 + 12*o/5.
o*(o + 1)*(o + 2)*(o + 6)/5
Factor -3*p**2 - 36*p + 399.
-3*(p - 7)*(p + 19)
Factor -255*k**2 - 3*k.
-3*k*(85*k + 1)
Factor 5*f**3/2 + 1215*f**2 + 4845*f/2 + 1210.
5*(f + 1)**2*(f + 484)/2
Factor q**2 - 114*q + 333.
(q - 111)*(q - 3)
Factor 4*n**4/9 + 56*n**3/9 + 212*n**2/9 + 304*n/9 + 16.
4*(n + 1)*(n + 2)**2*(n + 9)/9
Suppose -3*h**5 - 15*h**4 + 306*h**3 - 960*h**2 + 672*h = 0. What is h?
-14, 0, 1, 4
Factor -5*d**3 + 50*d**2 + 55*d.
-5*d*(d - 11)*(d + 1)
Solve i**2 + 626*i + 97969 = 0.
-313
Determine c, given that -c**5/8 + 63*c**4/8 - 157*c**3 + 803*c*