30*m**2 - 6300*m - 10125 = 0. What is m?
-9, -5
Let -3*x**2 - 645*x - 642 = 0. Calculate x.
-214, -1
Factor 2*q**3 - 96*q**2 + 664*q - 960.
2*(q - 40)*(q - 6)*(q - 2)
Find d such that 2*d**2 - 10*d - 28 = 0.
-2, 7
Find n such that 2*n**3/7 - 24*n**2/7 + 6*n - 20/7 = 0.
1, 10
What is j in -3*j**2/4 - 9*j/2 + 165/4 = 0?
-11, 5
Solve 3*a**2/2 - 27*a/2 + 21 = 0 for a.
2, 7
Determine z, given that z**5/11 + 21*z**4/11 + 8*z**3 + 12*z**2 + 64*z/11 = 0.
-16, -2, -1, 0
Factor 2*h**4/13 + 122*h**3/13 + 2030*h**2/13 + 5046*h/13.
2*h*(h + 3)*(h + 29)**2/13
Factor -g**3 + 10*g**2 - 12*g - 72.
-(g - 6)**2*(g + 2)
Factor 2*y**3 - 38*y**2 + 230*y - 450.
2*(y - 9)*(y - 5)**2
Factor -4*i**2 + 176*i/5 + 196/5.
-4*(i + 1)*(5*i - 49)/5
Solve -2*d**3/13 + 20*d**2/13 + 6*d = 0.
-3, 0, 13
Factor -18*p**3 - 358*p**2 - 302*p + 38.
-2*(p + 1)*(p + 19)*(9*p - 1)
Let -9*b**3 + 3732*b**2 + 5004*b - 4992 = 0. Calculate b.
-2, 2/3, 416
Factor -3*p**2 + 1170*p - 114075.
-3*(p - 195)**2
Determine s so that -5*s**3 - 125*s**2 - 1015*s - 2695 = 0.
-11, -7
Factor w**2/3 + 13*w/3 + 12.
(w + 4)*(w + 9)/3
Suppose -y**4 - 11*y**3 - 19*y**2 - 9*y = 0. Calculate y.
-9, -1, 0
Factor 22*t**2/15 + 98*t/5 + 104/15.
2*(t + 13)*(11*t + 4)/15
Find s such that -5*s**5 + 25*s**4 - 100*s**2 + 80*s = 0.
-2, 0, 1, 2, 4
Factor -q**5 + 11*q**4 - 8*q**3 - 20*q**2.
-q**2*(q - 10)*(q - 2)*(q + 1)
Factor -4*g**3 - 44*g**2 - 96*g + 144.
-4*(g - 1)*(g + 6)**2
Factor -u**4 + 8*u**3 + 169*u**2 + 712*u + 912.
-(u - 19)*(u + 3)*(u + 4)**2
What is h in -5*h**2 - 670*h - 22445 = 0?
-67
Factor -v**4/5 + 28*v**3/5 + 31*v**2/5 - 58*v/5.
-v*(v - 29)*(v - 1)*(v + 2)/5
Find g such that 6*g**5/11 - 2*g**4 + 2*g**3 - 2*g**2/11 - 4*g/11 = 0.
-1/3, 0, 1, 2
Factor -14*i**5 + 24*i**4 - 6*i**3 - 4*i**2.
-2*i**2*(i - 1)**2*(7*i + 2)
Factor -2*s**5/3 - 64*s**4/3 - 232*s**3/3 - 224*s**2/3.
-2*s**2*(s + 2)**2*(s + 28)/3
Factor 2*k**4/7 - 484*k**3/7 - 3968*k**2/7 - 8000*k/7.
2*k*(k - 250)*(k + 4)**2/7
Determine y so that 124*y**2 + 256*y + 16 = 0.
-2, -2/31
Factor f**3 + 214*f**2 + 3609*f + 15876.
(f + 9)**2*(f + 196)
Find v, given that v**2 + 277*v - 278 = 0.
-278, 1
Suppose -4*o**5/3 - 32*o**4/3 - 76*o**3/3 - 32*o**2/3 + 80*o/3 + 64/3 = 0. What is o?
-4, -2, -1, 1
Suppose r**2 + 13*r + 22 = 0. What is r?
-11, -2
Factor x**4 - 2*x**3 - 32*x**2 + 96*x.
x*(x - 4)**2*(x + 6)
Solve 4*q**4/7 - 8*q**3/7 = 0 for q.
0, 2
Determine k, given that k**5/5 + 7*k**4/5 + 16*k**3/5 + 12*k**2/5 = 0.
-3, -2, 0
Solve 2*p**3/9 - 50*p**2/9 - 224*p/9 - 232/9 = 0.
-2, 29
Solve -m**4 - m**3 + 5*m**2 - 3*m = 0.
-3, 0, 1
Let -u**5/4 - 87*u**4/4 - 83*u**3/4 + 263*u**2/4 + 108*u + 43 = 0. Calculate u.
-86, -1, 2
Factor 2*t**4/5 + 12*t**3/5 + 24*t**2/5 + 4*t + 6/5.
2*(t + 1)**3*(t + 3)/5
Let 3*l**3 + 102*l**2 + 132*l - 14520 = 0. What is l?
-22, 10
Suppose 2*k**3/9 + 146*k**2/9 + 944*k/9 + 440/3 = 0. What is k?
-66, -5, -2
Factor 3*t**4/4 - 21*t**3/4 + 51*t**2/4 - 51*t/4 + 9/2.
3*(t - 3)*(t - 2)*(t - 1)**2/4
Suppose 5*a**2 - 13*a - 84 = 0. Calculate a.
-3, 28/5
Factor -u**3/2 - 7*u**2/2 + 4*u.
-u*(u - 1)*(u + 8)/2
Factor 5*t**3 + 15*t**2 - 20.
5*(t - 1)*(t + 2)**2
Let 9*s**4/2 - 15*s**3/4 - 645*s**2/4 + 135*s - 27 = 0. What is s?
-6, 1/3, 1/2, 6
Factor 2*q**2/9 + 1636*q/9 + 334562/9.
2*(q + 409)**2/9
Factor 2*z**2/11 - 282*z/11 + 280/11.
2*(z - 140)*(z - 1)/11
Let -4*u**2 - 4904*u + 9824 = 0. Calculate u.
-1228, 2
Factor 3*v**4 - 18*v**3 + 9*v**2 + 30*v.
3*v*(v - 5)*(v - 2)*(v + 1)
What is c in c**4 + 61*c**3 - 125*c**2 + 63*c = 0?
-63, 0, 1
Let 81*l**5/4 + 9*l**4/4 - 65*l**3/4 - 25*l**2/4 = 0. What is l?
-5/9, 0, 1
Find g, given that g**4 + 4*g**3 - 21*g**2 = 0.
-7, 0, 3
Factor -2*h**2/21 + 104*h/21 - 14.
-2*(h - 49)*(h - 3)/21
Determine h so that -4*h**4 + 120*h**3 - 112*h**2 - 120*h + 116 = 0.
-1, 1, 29
Factor 4*r**5/5 - 152*r**4/5 + 1588*r**3/5 - 2736*r**2/5 + 1296*r/5.
4*r*(r - 18)**2*(r - 1)**2/5
Factor -3*p**2/2 - 39*p/2 - 18.
-3*(p + 1)*(p + 12)/2
Find f, given that 3*f**2 - 99*f - 102 = 0.
-1, 34
Factor -5*z**3 + 360*z**2 + 7695*z + 36450.
-5*(z - 90)*(z + 9)**2
Suppose 56*y**4/13 - 72*y**3/13 - 162*y**2/13 + 188*y/13 - 48/13 = 0. Calculate y.
-12/7, 1/2, 2
Factor j**3/5 + 2*j**2/5 - 3*j/5.
j*(j - 1)*(j + 3)/5
Factor 5*r**4 - 301*r**3 + 60*r**2.
r**2*(r - 60)*(5*r - 1)
Let -20*v**4 + 405*v**3 - 2560*v**2 + 4935*v - 1080 = 0. Calculate v.
1/4, 3, 8, 9
Solve -5*f**3 - 2655*f**2 - 5295*f - 2645 = 0.
-529, -1
Factor 4*x**2/3 - 68*x/3 + 40.
4*(x - 15)*(x - 2)/3
Factor -2*z**2/3 - 118*z + 360.
-2*(z - 3)*(z + 180)/3
Factor -u**2/9 + 2*u/9 - 1/9.
-(u - 1)**2/9
Find g such that 45*g**4/7 - 552*g**3/7 + 1577*g**2/7 + 722*g/7 = 0.
-2/5, 0, 19/3
Factor 4*t**3 + 19*t**2/2 + 7*t + 3/2.
(t + 1)**2*(8*t + 3)/2
Let -2*g**5/3 - 32*g**4/3 - 80*g**3/3 - 20*g**2/3 + 82*g/3 + 52/3 = 0. What is g?
-13, -2, -1, 1
Let 2*y**3/5 - 1446*y**2/5 + 348486*y/5 - 27995042/5 = 0. Calculate y.
241
Factor -19*j**2/4 + 37*j/2 + 2.
-(j - 4)*(19*j + 2)/4
Factor 4*l**2 - 16*l.
4*l*(l - 4)
Factor 3*h**2/7 - 4296*h/7.
3*h*(h - 1432)/7
Let 2*c**2/13 + 558*c/13 - 560/13 = 0. What is c?
-280, 1
Let 2*z**4/13 + 12*z**3 + 2520*z**2/13 - 21168*z/13 = 0. What is z?
-42, 0, 6
Factor 3*n**3/5 + 63*n**2 + 1482*n/5 - 360.
3*(n - 1)*(n + 6)*(n + 100)/5
Find c such that 2*c**4/9 - 152*c**3/9 + 146*c**2/3 + 8*c/9 - 584/9 = 0.
-1, 2, 73
Determine s, given that -3*s**4/4 + 69*s**3/4 + 9*s**2/4 - 213*s/4 + 69/2 = 0.
-2, 1, 23
Factor v**4/3 + 44*v**3/3 + 560*v**2/3 + 1600*v/3.
v*(v + 4)*(v + 20)**2/3
Solve 3*b**5/8 + 15*b**4/8 + 3*b**3/8 - 63*b**2/8 - 27*b/4 = 0 for b.
-3, -1, 0, 2
What is y in -2*y**5/9 + 8*y**4/9 + 4*y**3 + 40*y**2/9 + 14*y/9 = 0?
-1, 0, 7
Find u such that -4*u**5 + 36152*u**4 - 81685444*u**3 = 0.
0, 4519
Factor 5*c**3 + 165*c**2 + 580*c.
5*c*(c + 4)*(c + 29)
Let 3*w**3/5 - 81*w**2/5 + 78*w/5 = 0. Calculate w.
0, 1, 26
Factor 2*b**2/5 + 28*b/5 - 6.
2*(b - 1)*(b + 15)/5
Factor 2*a**3/5 + 44*a**2/5 + 42*a/5.
2*a*(a + 1)*(a + 21)/5
Factor -n**4 - 16*n**3 - 64*n**2.
-n**2*(n + 8)**2
Factor -y**3/4 - 83*y**2/4 + 86*y - 87.
-(y - 2)**2*(y + 87)/4
Factor -4*i**3 - 28*i**2 + 96*i + 720.
-4*(i - 5)*(i + 6)**2
Factor 4*p**4/3 + 4*p**3/3 - 28*p**2/3 - 52*p/3 - 8.
4*(p - 3)*(p + 1)**2*(p + 2)/3
Suppose 4*r**3/5 + 716*r**2/5 - 1448*r/5 = 0. What is r?
-181, 0, 2
Determine u, given that 2*u**5 - 104*u**4 + 1546*u**3 - 5092*u**2 + 5952*u - 2304 = 0.
1, 2, 24
Solve 11*q**2/4 + 95*q/2 + 51/4 = 0.
-17, -3/11
Factor -3*g**3/5 - 84*g**2/5 - 663*g/5 - 1014/5.
-3*(g + 2)*(g + 13)**2/5
Factor -3*s**4 - 54*s**3 - 267*s**2 - 216*s.
-3*s*(s + 1)*(s + 8)*(s + 9)
Find h, given that -12*h**5/7 + 9*h**4/7 + 207*h**3/7 - 204*h**2/7 = 0.
-17/4, 0, 1, 4
Let 4*g**2/7 - 5524*g/7 - 11064/7 = 0. What is g?
-2, 1383
Find i such that -3*i**2 - 24*i + 27 = 0.
-9, 1
Determine k, given that -3*k**4 + 261*k**3 + 2520*k**2 + 6864*k + 4608 = 0.
-4, -1, 96
Factor -48*g**3 + 544*g**2 - 1380*g + 800.
-4*(g - 8)*(2*g - 5)*(6*g - 5)
What is i in -6*i**4 - 153*i**3/2 + 399*i**2/2 - 45*i = 0?
-15, 0, 1/4, 2
Determine y, given that -4*y**5 + 12*y**4 + 24*y**3 - 32*y**2 = 0.
-2, 0, 1, 4
What is f in 22*f**5/7 - 150*f**4/7 + 104*f**3/7 + 24*f**2/7 = 0?
-2/11, 0, 1, 6
Factor -c**3 + 570*c**2 + c - 570.
-(c - 570)*(c - 1)*(c + 1)
Solve -s**2/3 + 23*s/3 - 30 = 0 for s.
5, 18
Factor -3*n**5 + 9*n**4 - 9*n**3 + 3*n**2.
-3*n**2*(n - 1)**3
Find j such that -4*j**4/7 - 32*j**3/7 - 52*j**2/7 - 24*j/7 = 0.
-6, -1, 0
Factor -5*u**2 - 700*u + 1420.
-5*(u - 2)*(u + 142)
Factor -w**2/4 - 184*w - 735/4.
-(w + 1)*(w + 735)/4
Find s such that 2*s**2/15 + 36*s/5 - 22/3 = 0.
-55, 1
Factor 3*x**2 + 237*x.
3*x*(x + 79)
Factor -32*s**3/3 - 336*s**2 + 170*s - 64/3.
-2*(s + 32)*(4*s - 1)**2/3
Suppose -5*p**2 + 2060*p - 212180 = 0. Calculate p.
206
Let -v**3 - 13*v**2 - 12*v = 0. What is v?
-12, -1, 0
Suppose k**2/5 - 33*k/5 + 18 = 0. Calculate k.
3, 30
Suppose -2*w**2/9 + 4*w/9 + 2/3 = 0. What is w?
-1, 3
What is f in -4*f**3/5 + 8*f**2 + 4*f/5 - 8 = 0?
-1, 1, 10
Factor -4*u**4 + 6*u**3 + 10*u**2.
-2*u**2*(u + 1)*(2*u - 5)
Factor -z**2/4 + 35*z/4 - 17/2.
-(z - 34)*(z - 1)/4
Solve 3*r**4 - 6*r**3 + 3*r**2 = 0 for r.
0, 1
Factor x**5/5 - 11*x**4 - 114*x**3/5.
x**3*(x - 57)*(x + 2)/5
Solve 3*d**5 - 11*d**4 - 41*d**3 - 13*d**2 + 38*d + 24 = 0 for d.
-4/3, -1, 1,