 3*j**3 + 123*j**2 + 456*j + 444 = 0. What is j?
-37, -2
Find m such that -2*m**5/11 - 20*m**4/11 + 4*m**3/11 + 256*m**2/11 - 434*m/11 + 196/11 = 0.
-7, 1, 2
Factor -4*f**2 + 4368*f - 1192464.
-4*(f - 546)**2
Factor 4*m**4/9 + 4*m**3/9 - 16*m**2/3 - 112*m/9 - 64/9.
4*(m - 4)*(m + 1)*(m + 2)**2/9
Let 5*h**5 - 5*h**4 - 5*h**3 + 5*h**2 = 0. Calculate h.
-1, 0, 1
Let -6885*d**3 - 3222*d**2 - 412*d - 8 = 0. Calculate d.
-2/9, -2/85
Factor -i**3/6 - 7*i**2 - 85*i/2 - 175/3.
-(i + 2)*(i + 5)*(i + 35)/6
Let 5*v**2/6 - 5015*v/3 + 10025/6 = 0. What is v?
1, 2005
What is u in -u**3/2 + 14*u**2 - 64*u - 512 = 0?
-4, 16
Suppose s**2/3 + 5807*s/3 = 0. Calculate s.
-5807, 0
Factor 16*f**4/5 - 12*f**3 + 48*f**2/5 + 16*f/5.
4*f*(f - 2)**2*(4*f + 1)/5
Factor -2*n**4 - 10*n**3 - 16*n**2 - 8*n.
-2*n*(n + 1)*(n + 2)**2
Let 4*u**3/7 - 16*u**2/7 - 4*u/7 + 16/7 = 0. Calculate u.
-1, 1, 4
Factor -2*r**2/13 - 722*r/13 + 724/13.
-2*(r - 1)*(r + 362)/13
Determine d, given that 5*d**2 + 210*d + 205 = 0.
-41, -1
Factor -z**4/8 + 3*z**3/8 + z**2/4 - 3*z/2 + 1.
-(z - 2)**2*(z - 1)*(z + 2)/8
Factor -7*q**4 - 5*q**3 + 16*q**2 - 4*q.
-q*(q - 1)*(q + 2)*(7*q - 2)
Factor 5*t**3 - 1635*t**2 + 1630*t.
5*t*(t - 326)*(t - 1)
Solve 2*w**5 - 162*w**4 + 3016*w**3 + 11232*w**2 - 12096*w - 42336 = 0.
-3, -2, 2, 42
Factor i**3 - 43*i**2/4 - 115*i/4 - 13/2.
(i - 13)*(i + 2)*(4*i + 1)/4
Suppose 2*u**3/15 - 92*u**2/3 + 442*u/5 + 2724/5 = 0. What is u?
-3, 6, 227
Factor -2*d**2/15 + 676*d/15 - 57122/15.
-2*(d - 169)**2/15
Find y such that 3*y**4/5 - 6*y**3/5 - 3*y**2/5 + 6*y/5 = 0.
-1, 0, 1, 2
Factor 3*c**3 + 21*c**2 + 45*c + 27.
3*(c + 1)*(c + 3)**2
Let -9*b**5 - 552*b**4 + 399*b**3 + 1638*b**2 - 2220*b + 744 = 0. Calculate b.
-62, -2, 2/3, 1
Let -4*a**3 + 236*a**2 + 320*a - 4800 = 0. What is a?
-5, 4, 60
Factor 2*i**3 - 462*i**2 + 918*i - 458.
2*(i - 229)*(i - 1)**2
Solve 2*n**2 - 906*n - 3656 = 0 for n.
-4, 457
Factor 2*w**3 + 1162*w**2 + 170510*w + 501126.
2*(w + 3)*(w + 289)**2
Factor o**3 - 5*o**2.
o**2*(o - 5)
Find t such that 13778*t**4/7 - 717120*t**3/7 + 9348464*t**2/7 - 449280*t/7 + 5408/7 = 0.
2/83, 26
Solve k**4/4 + 39*k**3/2 + 507*k**2 + 4394*k = 0 for k.
-26, 0
Determine s so that s**5/6 - 7*s**4/2 + 3*s**3 + 20*s**2/3 = 0.
-1, 0, 2, 20
Factor 4*h**2/9 - 374*h/3 + 560/9.
2*(h - 280)*(2*h - 1)/9
Factor -5*r**2/3 + 145*r/3 + 350.
-5*(r - 35)*(r + 6)/3
Factor -14*l**2 - 8*l + 552.
-2*(l - 6)*(7*l + 46)
Factor 3*s**3/2 - 9*s**2 - 36*s + 96.
3*(s - 8)*(s - 2)*(s + 4)/2
Factor -2*f**3/11 - 14*f**2/11 + 32*f/11 + 224/11.
-2*(f - 4)*(f + 4)*(f + 7)/11
Solve -p**3/3 - 34*p**2/3 - 115*p - 300 = 0 for p.
-15, -4
Factor 35*a**3 + 88*a**2 - 49*a + 6.
(a + 3)*(5*a - 1)*(7*a - 2)
Determine d so that 2*d**3/7 - 604*d**2/7 + 45602*d/7 = 0.
0, 151
Suppose q**5/8 + q**4/2 - 3*q**3/8 - 9*q**2/4 = 0. Calculate q.
-3, 0, 2
Factor -2*b**2/7 + 1912*b/7 - 3816/7.
-2*(b - 954)*(b - 2)/7
Suppose 5*a**2/2 - 15*a - 400 = 0. Calculate a.
-10, 16
What is u in -2*u**2/7 + 12*u/7 - 18/7 = 0?
3
Factor 3*v**2 + 216*v.
3*v*(v + 72)
Determine z, given that -z**3/2 - 2*z**2 - 3*z/2 = 0.
-3, -1, 0
Factor 4*s**2/5 - 76*s - 776/5.
4*(s - 97)*(s + 2)/5
Solve 2*d**3 - 54*d**2 + 486*d - 1458 = 0.
9
Factor -3*i**2/4 + 47*i/2 - 31/4.
-(i - 31)*(3*i - 1)/4
Solve p**2/6 + 73*p/3 + 284/3 = 0.
-142, -4
Factor -4*j**2 - 8*j + 140.
-4*(j - 5)*(j + 7)
Suppose -4*o**3 + 60*o**2 - 300*o + 500 = 0. Calculate o.
5
Factor -15*c**3 + 123*c**2 - 264*c + 156.
-3*(c - 2)*(c - 1)*(5*c - 26)
Factor -3*y**4 - 36*y**3 - 138*y**2 - 180*y - 75.
-3*(y + 1)**2*(y + 5)**2
Determine q, given that -11*q**3/3 + 261*q**2 - 1660*q/3 + 92 = 0.
2/11, 2, 69
Solve -3*o**5/5 + 81*o**4/5 - 474*o**3/5 + 318*o**2/5 + 477*o/5 - 399/5 = 0 for o.
-1, 1, 7, 19
Determine j so that 5*j**4 + 45*j**3 + 105*j**2 + 95*j + 30 = 0.
-6, -1
Suppose -5*y**3 + 30*y**2 - 25*y = 0. What is y?
0, 1, 5
Factor i**3 - 13*i**2 - 29*i - 15.
(i - 15)*(i + 1)**2
Let -g**2/5 + 4*g + 44/5 = 0. Calculate g.
-2, 22
Factor 6*v**3/7 - 94*v**2/7 - 206*v/7 - 106/7.
2*(v + 1)**2*(3*v - 53)/7
Solve 2*p**3 + 62*p**2 - 68*p - 128 = 0.
-32, -1, 2
Factor 3*b**3 - 1128*b**2 + 4473*b - 3348.
3*(b - 372)*(b - 3)*(b - 1)
Suppose 4*h**2/21 - 22*h/21 = 0. Calculate h.
0, 11/2
Determine t so that -4*t**3 + 100*t**2 - 448*t - 2352 = 0.
-3, 14
Let -2*k**3/17 + 2*k**2 + 74*k/17 + 38/17 = 0. Calculate k.
-1, 19
Solve 27*n**2/8 + 285*n/2 + 63/2 = 0.
-42, -2/9
Factor -5*h**4 + 30*h**3 + 15*h**2 - 100*h + 60.
-5*(h - 6)*(h - 1)**2*(h + 2)
Determine w so that w**4/4 - w**3/2 - 27*w**2/4 + 27 = 0.
-3, 2, 6
Factor 2*h**4 + 22*h**3 - 110*h**2 + 146*h - 60.
2*(h - 2)*(h - 1)**2*(h + 15)
What is h in 35*h**4 - 150*h**3 - 65*h**2 + 660*h - 180 = 0?
-2, 2/7, 3
Factor 4*n**2 + 136*n - 140.
4*(n - 1)*(n + 35)
Solve -l**3/2 - 7*l**2/2 + 4*l = 0 for l.
-8, 0, 1
Solve -q**4/9 + 2*q**3 - 65*q**2/9 - 28*q/3 = 0.
-1, 0, 7, 12
Factor 18*r**4 + 111*r**3 + 75*r**2 - 150*r.
3*r*(r + 2)*(r + 5)*(6*r - 5)
Let 2*l**2/3 + 46*l/3 + 68 = 0. What is l?
-17, -6
Determine h, given that 2*h**2/11 - 148*h/11 - 150/11 = 0.
-1, 75
Find u, given that -4*u**3 + 876*u**2 - 53856*u + 624240 = 0.
15, 102
Determine j so that j**5/4 + j**4 + j**3/4 - 7*j**2/2 - 5*j - 2 = 0.
-2, -1, 2
Factor 5*t**2 - 4230*t + 4225.
5*(t - 845)*(t - 1)
Let -r**3/2 + 3*r**2/2 - r = 0. What is r?
0, 1, 2
Determine t so that -t**2 + 14*t - 45 = 0.
5, 9
Factor -b**4/3 + 23*b**3/3 - 27*b**2 + 97*b/3 - 38/3.
-(b - 19)*(b - 2)*(b - 1)**2/3
Factor 11*m**2/3 + 25*m/3 + 2.
(m + 2)*(11*m + 3)/3
Solve -28*t**5 + 540*t**4 - 1748*t**3 - 8476*t**2 - 4224*t + 1936 = 0 for t.
-2, -1, 2/7, 11
Determine w, given that 3*w**2/7 + 174*w/7 - 549/7 = 0.
-61, 3
Factor -5*u**4 + 50*u**3 - 60*u**2 - 360*u.
-5*u*(u - 6)**2*(u + 2)
Suppose -y**2 + 71*y - 138 = 0. Calculate y.
2, 69
Factor -q**2/2 - 1528*q + 3057/2.
-(q - 1)*(q + 3057)/2
Factor 165*i**4/4 + 175*i**3/2 + 205*i**2/4 + 5*i.
5*i*(i + 1)**2*(33*i + 4)/4
Factor -4*o**2 + 12132*o - 12128.
-4*(o - 3032)*(o - 1)
Factor u**2/4 - 82*u + 6724.
(u - 164)**2/4
Factor 5*o**2 + 735*o + 730.
5*(o + 1)*(o + 146)
Factor a**5/9 - 4*a**4/3 - 19*a**3/9 + 38*a**2 + 72*a.
a*(a - 9)**2*(a + 2)*(a + 4)/9
Factor -2*g**3/5 + 976*g**2/5 - 119072*g/5.
-2*g*(g - 244)**2/5
Find j such that 20*j**5 - 975*j**4 + 5135*j**3 - 8235*j**2 + 2765*j + 1290 = 0.
-1/4, 1, 2, 3, 43
Solve 10*q**2 - 55*q/4 + 15/4 = 0.
3/8, 1
Solve -3*n**4/10 + n**3/2 + n**2/10 - n/2 + 1/5 = 0.
-1, 2/3, 1
Factor -f**2/2 + 2*f + 285/2.
-(f - 19)*(f + 15)/2
Find y, given that y**2/2 + 91*y/2 + 45 = 0.
-90, -1
Factor -5*n**4/4 + 115*n**3/4 + 135*n**2.
-5*n**2*(n - 27)*(n + 4)/4
Let -4*n**5 - 28*n**4/5 + 72*n**3/5 + 112*n**2/5 + 32*n/5 = 0. What is n?
-2, -1, -2/5, 0, 2
Solve 2*j**3/3 + 250*j**2/3 + 974*j/3 + 242 = 0 for j.
-121, -3, -1
Find g such that -g**5/3 - 7*g**4 + 164*g**3 - 1792*g**2/3 - 768*g = 0.
-36, -1, 0, 8
Determine w so that 2*w**2/15 + 98*w/5 - 296/15 = 0.
-148, 1
What is s in -s**4 - 12*s**3 + 45*s**2 = 0?
-15, 0, 3
Factor -m**2/7 + 93*m/7.
-m*(m - 93)/7
Solve -2*c**3/13 + 6*c**2/13 + 32*c/13 + 24/13 = 0 for c.
-2, -1, 6
Suppose 2*n**4/3 + 8*n**3/3 - 2*n**2 - 28*n/3 - 16/3 = 0. What is n?
-4, -1, 2
Find z such that 5*z**5 - 205*z**4 + 385*z**3 + 205*z**2 - 390*z = 0.
-1, 0, 1, 2, 39
Factor -28*t**2 + 12300*t - 3512.
-4*(t - 439)*(7*t - 2)
Solve 5*g**5 + 50*g**4 + 150*g**3 + 100*g**2 - 155*g - 150 = 0 for g.
-5, -3, -2, -1, 1
Determine w, given that -3*w**2 - 1218*w + 1221 = 0.
-407, 1
Determine c, given that -c**3/3 + 187*c**2 + 752*c + 2260/3 = 0.
-2, 565
Factor 2*s**4/3 + 2*s**3/3 - 98*s**2/3 - 98*s/3.
2*s*(s - 7)*(s + 1)*(s + 7)/3
Let -10*s**3 - 34*s**2 - 32*s - 8 = 0. Calculate s.
-2, -1, -2/5
Factor -2*j**5 + 20*j**4 - 80*j**3 + 160*j**2 - 160*j + 64.
-2*(j - 2)**5
Factor -3*g**5/5 + 6*g**4/5 + 9*g**3/5.
-3*g**3*(g - 3)*(g + 1)/5
Factor -3*o**5 - 120*o**4 - 1515*o**3 - 4830*o**2 + 14700*o - 8232.
-3*(o - 1)**2*(o + 14)**3
Factor -2*u**4 + 4*u**3 + 6*u**2.
-2*u**2*(u - 3)*(u + 1)
Suppose -2*n**2/9 - 926*n/9 - 920/3 = 0. What is n?
-460, -3
Determine x, given that -x**4/3 + 56*x**3/3 - 18*x**2 - 56*x/3 + 55/3 = 0.
-1, 1, 55
Suppose 3*u**3 + 396*u**2 + 12240*u - 55488 = 0. Calculate u.
-68, 4
Solve -4*x**2 + 8*x + 60 = 0.
-3, 5
Let -3*m**3 + 42*m**2 + 3*m - 42 = 0. What is m?
