107*a**3 + 3159*a**2 + 3078*a = 0.
-38, -3, 0
Solve 4*h**3 + 4*h**2 - 120*h = 0 for h.
-6, 0, 5
Suppose -5*k**5 - 5*k**4 + 15*k**3 + 25*k**2 + 10*k = 0. Calculate k.
-1, 0, 2
Suppose -2*q**5 - 12*q**4 + 32*q**3 + 148*q**2 + 162*q + 56 = 0. What is q?
-7, -1, 4
What is t in t**3 + 9*t**2 - 22*t = 0?
-11, 0, 2
Find g such that -g**4/6 - 421*g**3/3 - 175549*g**2/6 + 118722*g - 119286 = 0.
-423, 2
Factor 3*q**3 - 8175*q**2 + 5565129*q + 5573307.
3*(q - 1363)**2*(q + 1)
Suppose 2*n**3/3 - 10*n**2/3 - 2*n/3 + 10/3 = 0. Calculate n.
-1, 1, 5
Factor 2*w**4/3 - 12*w**3 + 82*w**2/3 + 40*w.
2*w*(w - 15)*(w - 4)*(w + 1)/3
Factor -2*l**2/15 + 476*l/15 - 158/5.
-2*(l - 237)*(l - 1)/15
Factor -20*y**2 + 455*y - 330.
-5*(y - 22)*(4*y - 3)
Factor f**3/5 - 2*f**2 - 53*f/5 - 42/5.
(f - 14)*(f + 1)*(f + 3)/5
Solve -2*j**4/5 + 284*j**3/5 + 576*j**2/5 = 0 for j.
-2, 0, 144
Factor 2*w**2/11 + 16328*w/11 + 33325448/11.
2*(w + 4082)**2/11
Find q such that 121*q**4/3 - 253*q**3/3 + 56*q**2 - 12*q = 0.
0, 6/11, 1
Find m, given that -2*m**3/11 - 124*m**2/11 - 22*m - 120/11 = 0.
-60, -1
Factor -i**3/2 + 51*i**2 - 461*i/2 - 1164.
-(i - 97)*(i - 8)*(i + 3)/2
Let -2*c**2 - 38*c - 120 = 0. Calculate c.
-15, -4
Find d, given that 2*d**3/13 + 50*d**2/13 - 4*d = 0.
-26, 0, 1
Let 13689*w**5/5 + 5850*w**4 + 2872*w**3/5 - 1808*w**2/5 - 112*w/5 + 32/5 = 0. What is w?
-2, -2/9, 2/13
Factor -3*d**4 + 63*d**3 - 486*d**2 + 1620*d - 1944.
-3*(d - 6)**3*(d - 3)
Factor -2*g**3/7 + 38*g**2 + 538*g/7 + 270/7.
-2*(g - 135)*(g + 1)**2/7
Factor 2*p**2/9 + 32*p/3 - 34.
2*(p - 3)*(p + 51)/9
Factor -924*i**2 - 1000*i + 224.
-4*(11*i + 14)*(21*i - 4)
Find j such that 4*j**5 + 60*j**4 + 288*j**3 + 416*j**2 - 192*j - 576 = 0.
-6, -2, 1
Find d, given that 6*d**4/7 - 10*d**3/7 - 4*d**2 + 40*d/7 + 16/7 = 0.
-2, -1/3, 2
Suppose 5*v**3/3 + 25*v**2/3 + 40*v/3 + 20/3 = 0. Calculate v.
-2, -1
Suppose 2*n**4/9 - 16*n**3/9 - 38*n**2/3 - 200*n/9 - 104/9 = 0. What is n?
-2, -1, 13
Factor 26*s**2 - 128*s + 96.
2*(s - 4)*(13*s - 12)
Factor 2*n**2/15 - 4*n/3 + 6/5.
2*(n - 9)*(n - 1)/15
Find c, given that -3*c**2/5 - 873*c/5 + 1758/5 = 0.
-293, 2
Determine l, given that -3*l**3 - 306*l**2 - 297*l + 606 = 0.
-101, -2, 1
What is p in p**5 + 7*p**4 - p**3 - 43*p**2 + 36 = 0?
-6, -3, -1, 1, 2
Factor 2*z**2/3 + 8*z + 70/3.
2*(z + 5)*(z + 7)/3
What is o in 2*o**3 + 36*o**2 + 138*o + 104 = 0?
-13, -4, -1
Let 3*r**3 - 6*r**2 - 549*r - 540 = 0. Calculate r.
-12, -1, 15
Solve -3*v**2 - 25680*v - 54955200 = 0 for v.
-4280
Find l, given that -3*l**4/4 - 97*l**3/12 - 45*l**2/4 + 97*l/12 + 12 = 0.
-9, -16/9, -1, 1
Factor -v**3/2 + 2*v**2 - 5*v/2 + 1.
-(v - 2)*(v - 1)**2/2
Factor -16*q**2 + 708*q - 176.
-4*(q - 44)*(4*q - 1)
Factor -6075*b**4 + 4536*b**3 - 1224*b**2 + 416*b/3 - 16/3.
-(9*b - 2)**3*(25*b - 2)/3
Factor a**5 - 175*a**4 + 8238*a**3 - 50400*a**2 + 42336*a.
a*(a - 84)**2*(a - 6)*(a - 1)
Suppose 2*x**5/13 + 348*x**4/13 + 15474*x**3/13 + 28552*x**2/13 - 44376*x/13 = 0. Calculate x.
-86, -3, 0, 1
Suppose -2*p**5 - 104*p**4 - 388*p**3 - 184*p**2 + 390*p + 288 = 0. Calculate p.
-48, -3, -1, 1
Factor -5*i**2 + 15*i + 140.
-5*(i - 7)*(i + 4)
Suppose p**3/2 - 16*p**2 - p/2 + 16 = 0. What is p?
-1, 1, 32
Factor -3*o**2 + 660*o + 663.
-3*(o - 221)*(o + 1)
Determine j, given that -j**4/2 - 2*j**3 - 2*j**2 = 0.
-2, 0
Determine h, given that -4*h**2/13 - 14*h + 282/13 = 0.
-47, 3/2
Factor 5*g**5/4 - 5*g**4 - 10*g**3 + 25*g**2/2 + 115*g/4 + 25/2.
5*(g - 5)*(g - 2)*(g + 1)**3/4
Suppose -w**5/2 + 3*w**4 - 9*w**3/2 - 2*w**2 + 6*w = 0. Calculate w.
-1, 0, 2, 3
Suppose -f**2/4 + 107*f/4 = 0. What is f?
0, 107
Factor 12*g**3 - 808*g**2 - 1372*g - 552.
4*(g - 69)*(g + 1)*(3*g + 2)
Find d such that 14*d**3 + 1390*d**2/3 + 44*d = 0.
-33, -2/21, 0
Suppose -2*v**4 + 20*v**3 - 50*v**2 + 72 = 0. Calculate v.
-1, 2, 3, 6
Suppose 2*w**2 + 2*w - 24 = 0. What is w?
-4, 3
Determine k, given that k**4/8 - 5*k**3/4 + 23*k**2/8 - 7*k/4 = 0.
0, 1, 2, 7
Find k, given that -k**3/3 + 188*k**2/3 = 0.
0, 188
Factor x**2/7 - 3*x/7 - 18/7.
(x - 6)*(x + 3)/7
Find d, given that -d**5 + 29*d**4 - 270*d**3 + 700*d**2 + 1000*d = 0.
-1, 0, 10
Factor l**2/2 + 20*l + 231/2.
(l + 7)*(l + 33)/2
Factor 3*o**3/2 + 99*o**2 + 195*o/2.
3*o*(o + 1)*(o + 65)/2
Solve 3*w**4 - 15*w**2 + 12 = 0.
-2, -1, 1, 2
Factor -2*u**4/7 + 36*u**3/7 + 78*u**2/7 + 40*u/7.
-2*u*(u - 20)*(u + 1)**2/7
What is k in 3*k**3 + 48*k**2 + 156*k + 144 = 0?
-12, -2
Determine q so that -2*q**4 - 22*q**3 + 84*q**2 = 0.
-14, 0, 3
Factor -2*i**4 + 32*i**3 - 48*i**2 - 640*i - 800.
-2*(i - 10)**2*(i + 2)**2
Solve -3*p**5 + 12*p**4 - 15*p**3 + 6*p**2 = 0.
0, 1, 2
Factor -2*m**4/3 + 976*m**3/3 + 3928*m**2/3 + 1312*m.
-2*m*(m - 492)*(m + 2)**2/3
Solve -2*u**2/13 + 12*u/13 + 14 = 0 for u.
-7, 13
Suppose 3*a**5 + 9*a**4 - 6*a**3 - 36*a**2 - 24*a = 0. Calculate a.
-2, -1, 0, 2
Factor 3*l**4/8 - 681*l**3/2 - 2727*l**2/8.
3*l**2*(l - 909)*(l + 1)/8
Factor 2*s**3/9 + 182*s**2/9 + 470*s + 450.
2*(s + 1)*(s + 45)**2/9
Factor 2*x**3/3 + 16*x**2/3 + 10*x/3 - 28/3.
2*(x - 1)*(x + 2)*(x + 7)/3
Determine w, given that 52*w**5 + 60*w**4 - 44*w**3 - 60*w**2 - 8*w = 0.
-1, -2/13, 0, 1
Solve k**3 - 21*k**2 - k + 21 = 0 for k.
-1, 1, 21
Factor 2*k**3/11 + 24*k**2/11 + 72*k/11.
2*k*(k + 6)**2/11
Factor 3*u**2 + 12*u - 15.
3*(u - 1)*(u + 5)
Factor -5*j**3 - 45*j**2 - 30*j + 80.
-5*(j - 1)*(j + 2)*(j + 8)
Factor -k**2/4 - 31*k/4 + 33/2.
-(k - 2)*(k + 33)/4
What is i in -4*i**5 - 384*i**4 + 8*i**3 + 768*i**2 - 4*i - 384 = 0?
-96, -1, 1
Factor 7*t**4/5 - 62*t**3/5 - 69*t**2/5.
t**2*(t + 1)*(7*t - 69)/5
Factor 3*c**2 - 375*c - 378.
3*(c - 126)*(c + 1)
Factor 3*q**5 + 12*q**4 - 42*q**2 - 51*q - 18.
3*(q - 2)*(q + 1)**3*(q + 3)
Find l such that 4*l**4 + 212*l**3 + 200*l**2 - 416*l = 0.
-52, -2, 0, 1
Let -2*d**5/3 + 20*d**4/3 - 64*d**3/3 + 76*d**2/3 - 10*d = 0. Calculate d.
0, 1, 3, 5
Factor 2*x**4/3 + 2*x**3 - 2*x**2 - 14*x/3 + 4.
2*(x - 1)**2*(x + 2)*(x + 3)/3
Factor 2*u**4/3 + 250*u**3/3 - 518*u**2 + 786*u.
2*u*(u - 3)**2*(u + 131)/3
Factor 3*a**3 - 204*a**2 + 768*a.
3*a*(a - 64)*(a - 4)
Determine k so that -3*k**2/4 + 6633*k/2 - 14665563/4 = 0.
2211
Factor 3*i**5 - 18*i**4 - 69*i**3 + 396*i**2 - 420*i.
3*i*(i - 7)*(i - 2)**2*(i + 5)
Factor -5*n**3 - 3115*n**2 - 483600*n + 486720.
-5*(n - 1)*(n + 312)**2
Solve -4*w**5 + 44*w**4 + 52*w**3 - 44*w**2 - 48*w = 0.
-1, 0, 1, 12
Factor -2*y**2/3 - 178*y/3 + 60.
-2*(y - 1)*(y + 90)/3
Factor 2*l**4/15 - 4*l**3 + 40*l**2 - 400*l/3.
2*l*(l - 10)**3/15
Let 4*k**4 - 1936*k**3 + 220312*k**2 + 3374448*k + 12152196 = 0. What is k?
-7, 249
Solve 3*h**2 + 3906*h + 7800 = 0.
-1300, -2
Factor -w**3/5 - 67*w**2/5 - 131*w/5 - 13.
-(w + 1)**2*(w + 65)/5
Factor 3*s**5 - 15*s**4 + 27*s**3 - 21*s**2 + 6*s.
3*s*(s - 2)*(s - 1)**3
Let 3540*j**2/11 - 3534*j/11 - 6/11 = 0. What is j?
-1/590, 1
Find d, given that 2*d**3 - 14*d**2 - 2*d + 14 = 0.
-1, 1, 7
Solve -4*v**4/3 + 160*v**3/3 = 0 for v.
0, 40
Factor -c**3 + 16*c**2 - 35*c - 52.
-(c - 13)*(c - 4)*(c + 1)
Determine y so that 18*y**3/19 + 510*y**2/19 - 346*y/19 + 58/19 = 0.
-29, 1/3
Factor z**3/2 - z**2/2 - z.
z*(z - 2)*(z + 1)/2
Factor -32*n**3 - 12*n**2 + 32*n + 12.
-4*(n - 1)*(n + 1)*(8*n + 3)
Determine w, given that 3*w**3/8 + 3*w**2/2 + 15*w/8 + 3/4 = 0.
-2, -1
Factor 4*j**3 - 40*j**2 - 348*j - 576.
4*(j - 16)*(j + 3)**2
Find b such that 3*b**4/7 + 132*b**3/7 + 1116*b**2/7 + 480*b + 3264/7 = 0.
-34, -4, -2
Solve b**4/5 - 14*b**3/5 + 73*b**2/5 - 168*b/5 + 144/5 = 0.
3, 4
Let -2*k**2/15 - 812*k/15 - 82418/15 = 0. Calculate k.
-203
Suppose 2*f**4/13 - 264*f**3/13 + 174*f**2 - 5936*f/13 + 3936/13 = 0. What is f?
1, 4, 123
Suppose 4*q**2/3 + 28*q/9 - 8/3 = 0. What is q?
-3, 2/3
Factor -7*w**3 + 1186*w**2 - 507*w.
-w*(w - 169)*(7*w - 3)
Factor 2*u**2/11 + 94*u/11 + 92/11.
2*(u + 1)*(u + 46)/11
Factor 2*l**5/5 - 98*l**4/5 + 96*l**3/5.
2*l**3*(l - 48)*(l - 1)/5
Factor a**3 - a**2 - 4*a + 4.
(a - 2)*(a - 1)*(a + 2)
What is b in -b**2/4 + 64*b - 4096 = 0?
128
Factor 32*g**2 - 34*g + 2.
2*(g - 1)*(16*g - 1)
Suppose p**4/9 + 167*p**3/3 - 1007*p**2/9 - 167*p/3 + 1006/9 = 0. What is p?
-503, -1, 1, 2
Factor t**3/2 + 1423*t**2/2 - 2849*t/2 + 1425/2.
(t - 1)**2*(t + 1425)/2
Suppose 2*c**5/5 - 4*c**4 - 48*c**3/5 - 4*c**2/5 + 46*c/5 + 24/5 = 0. Calculate c.
-1, 1, 12
Facto