
-t**2*(t - 13)**2*(t + 4)/5
Factor -2*s**3/11 - 96*s**2/11 - 936*s/11 - 2592/11.
-2*(s + 6)**2*(s + 36)/11
Factor 2*a**3/5 + 139*a**2/5 + 476*a - 245.
(a + 35)**2*(2*a - 1)/5
Let -4*q**2 + 5800*q - 2102500 = 0. What is q?
725
Suppose d**3/4 - 11*d**2/4 - 81*d/2 - 90 = 0. Calculate d.
-6, -3, 20
Suppose m**2 - 6*m + 5 = 0. What is m?
1, 5
Factor -3*n**2 + 3540*n - 1044300.
-3*(n - 590)**2
Find b such that -b**4/10 - 46*b**3/5 - 221*b**2/5 - 306*b/5 - 261/10 = 0.
-87, -3, -1
Factor w**3 + 15*w**2 - w - 15.
(w - 1)*(w + 1)*(w + 15)
Find q such that 3*q**4 - 144*q**3 - 297*q**2 - 150*q = 0.
-1, 0, 50
Factor 2*k**2/7 - 356*k/7 + 15842/7.
2*(k - 89)**2/7
Find i, given that -25*i**5 - 10*i**4 + 25*i**3 + 10*i**2 = 0.
-1, -2/5, 0, 1
What is u in u**5/2 + 3*u**4/2 + 3*u**3/2 + u**2/2 = 0?
-1, 0
Factor y**2 + 11*y/4.
y*(4*y + 11)/4
Let c**2/6 - 20*c/3 = 0. What is c?
0, 40
Factor -3*g**5 - 15*g**4 - 9*g**3 + 27*g**2.
-3*g**2*(g - 1)*(g + 3)**2
Suppose -v**5/5 + 10*v**4 - 756*v**3/5 + 1944*v**2/5 + 23328*v/5 = 0. What is v?
-4, 0, 18
Determine n, given that -2*n**2/7 + 722*n/7 - 720/7 = 0.
1, 360
Factor 2*r**2/11 + 2656*r/11 + 881792/11.
2*(r + 664)**2/11
Factor 3*h**2/7 - 906*h/7 + 3576/7.
3*(h - 298)*(h - 4)/7
Solve 2*s**3 - 34*s**2 + 152*s - 120 = 0.
1, 6, 10
Determine m, given that -3*m**5/2 + 3*m**4 + 15*m**3/2 - 9*m**2 = 0.
-2, 0, 1, 3
Let -5*i**2 - 7960*i - 3168080 = 0. What is i?
-796
Find g, given that 3*g**2/2 + 12*g - 30 = 0.
-10, 2
Factor 2*g**3/7 - 12*g**2/7 + 10*g/7.
2*g*(g - 5)*(g - 1)/7
Find r such that -3*r**2 - 2514*r + 2517 = 0.
-839, 1
Factor m**4/2 - 36*m**3 + 803*m**2 - 5580*m + 24025/2.
(m - 31)**2*(m - 5)**2/2
Factor 3*k**3 - 1308*k**2 - 7929*k - 11934.
3*(k - 442)*(k + 3)**2
Factor 3*t**5 + 159*t**4 + 2334*t**3 + 6078*t**2 + 5775*t + 1875.
3*(t + 1)**3*(t + 25)**2
Factor t**5 + 2*t**4 - 7*t**3 + 4*t**2.
t**2*(t - 1)**2*(t + 4)
Let 6*x**5 + 3561*x**4/7 + 6264*x**3/7 + 3243*x**2/7 + 498*x/7 = 0. Calculate x.
-83, -1, -1/2, -2/7, 0
Factor 2*j**2/5 + 17*j/5 + 21/5.
(j + 7)*(2*j + 3)/5
Suppose 5*k**4 - 45*k**3 = 0. What is k?
0, 9
Factor -2*w**3 - 46*w**2 - 284*w - 240.
-2*(w + 1)*(w + 10)*(w + 12)
Suppose -o**4/5 - 8*o**3/5 - 23*o**2/5 - 28*o/5 - 12/5 = 0. What is o?
-3, -2, -1
Suppose 3*l**2/5 - 24*l + 240 = 0. Calculate l.
20
Factor 2*i**2/9 + 38*i/9.
2*i*(i + 19)/9
Factor -3653*y**2/4 + 497*y/4 + 5/2.
-(13*y - 2)*(281*y + 5)/4
Factor 4*s**4 + 60*s**3 - 232*s**2 - 288*s.
4*s*(s - 4)*(s + 1)*(s + 18)
Determine o, given that -3*o**3/7 + 54*o**2/7 + 171*o + 672 = 0.
-7, 32
Solve 3*g**4 - 6*g**3 - 264*g**2 - 1056*g - 1152 = 0 for g.
-4, -2, 12
Factor 3*u**5 - 33*u**4 + 30*u**3 + 750*u**2 - 2625*u + 1875.
3*(u - 5)**3*(u - 1)*(u + 5)
Factor 3*c**4/5 + 39*c**3/5 - 312*c**2/5 - 756*c/5.
3*c*(c - 7)*(c + 2)*(c + 18)/5
Solve -4*g**4 + 664*g**3 - 30612*g**2 + 248976*g - 219024 = 0 for g.
1, 9, 78
Solve -3*c**4 - 126*c**3 + 687*c**2 - 846*c = 0 for c.
-47, 0, 2, 3
What is b in 3*b**5 - 9*b**4 - 7*b**3/3 + 19*b**2/3 + 2*b = 0?
-2/3, -1/3, 0, 1, 3
Determine r so that -3*r**4/2 - 15*r**3/2 + 21*r**2/2 + 15*r/2 - 9 = 0.
-6, -1, 1
Determine j so that 4*j**4/5 - 112*j**3/5 + 92*j**2 = 0.
0, 5, 23
Determine n, given that -14*n**4/15 - 6*n**3 - 106*n**2/15 - 2*n = 0.
-5, -1, -3/7, 0
Solve g**2/8 + 9*g/4 + 65/8 = 0.
-13, -5
Let c**3 + 978*c**2 + 239121*c = 0. Calculate c.
-489, 0
Factor 5*u**2 + 10*u - 240.
5*(u - 6)*(u + 8)
Determine b, given that -5*b**3/3 + 145*b**2/3 + 305*b/3 + 155/3 = 0.
-1, 31
Factor -2*j**2/5 - 4*j/5 + 16/5.
-2*(j - 2)*(j + 4)/5
Determine t, given that 884*t**2/3 + 295*t + 1/3 = 0.
-1, -1/884
Factor 4*t**3/5 + 124*t**2/5 + 536*t/5 + 416/5.
4*(t + 1)*(t + 4)*(t + 26)/5
Factor -4*o**5 + 4*o**4 + 8*o**3 - 8*o**2 - 4*o + 4.
-4*(o - 1)**3*(o + 1)**2
Factor -2*c**3/5 + 342*c**2/5 + 348*c/5 - 688/5.
-2*(c - 172)*(c - 1)*(c + 2)/5
Factor -5*f**4 - 95*f**3 + 205*f**2 - 105*f.
-5*f*(f - 1)**2*(f + 21)
Let 2*z**2/11 - 6*z/11 - 20/11 = 0. Calculate z.
-2, 5
Factor -21*j**3 + 90*j**2 - 24*j.
-3*j*(j - 4)*(7*j - 2)
Factor -j**3 - 300*j**2.
-j**2*(j + 300)
Factor 98*l**5 + 190*l**4 + 86*l**3 - 6*l**2.
2*l**2*(l + 1)**2*(49*l - 3)
Factor -20*v**4 - 88*v**3 - 92*v**2 - 24*v.
-4*v*(v + 1)*(v + 3)*(5*v + 2)
Suppose -3*l**5 - 3*l**4 + 144*l**3 + 528*l**2 + 384*l = 0. Calculate l.
-4, -1, 0, 8
Let 3*i**5/2 - 23*i**4/2 + 41*i**3/2 + 79*i**2/2 - 156*i + 126 = 0. Calculate i.
-7/3, 2, 3
Determine b so that -3*b**2/5 - 54*b - 267/5 = 0.
-89, -1
Determine d, given that 2*d**4/5 + 146*d**3/5 - 6*d**2/5 - 442*d/5 - 292/5 = 0.
-73, -1, 2
Solve -2*x**2 + 1642*x + 3292 = 0 for x.
-2, 823
Solve -m**4 + 22*m**3 - 153*m**2 + 324*m = 0 for m.
0, 4, 9
Find i, given that 2*i**4/7 - 2*i**3/7 - 2*i**2/7 + 2*i/7 = 0.
-1, 0, 1
Solve 5*g**3 - 905*g**2 - 910*g = 0 for g.
-1, 0, 182
Find n such that -n**5 - n**4 + 3*n**3 + n**2 - 2*n = 0.
-2, -1, 0, 1
Factor -3*d**3/5 + 10566*d**2/5 - 12404484*d/5 + 4854288072/5.
-3*(d - 1174)**3/5
Let 2*j**3 - 66*j**2 + 64*j = 0. What is j?
0, 1, 32
Find d, given that 151959*d**4 - 291597*d**3 - 24309*d**2 - 663*d - 6 = 0.
-1/37, 2
What is z in z**5/2 + z**4/2 - 9*z**3/2 - 13*z**2/2 + 4*z + 6 = 0?
-2, -1, 1, 3
Find z such that 4*z**3/9 - 308*z**2/9 + 2272*z/9 - 1472/3 = 0.
4, 69
Suppose 3*n**4 - 6*n**3 - 33*n**2 + 36*n + 108 = 0. What is n?
-2, 3
Factor t**3/5 + 156*t**2 + 40560*t + 3515200.
(t + 260)**3/5
Determine d, given that -d**2/9 + 89*d/9 - 340/9 = 0.
4, 85
Factor -2*t**3/7 + 8*t**2/7 + 8*t + 64/7.
-2*(t - 8)*(t + 2)**2/7
Suppose 243*t**3/2 - 3456*t**2 + 1518*t - 168 = 0. Calculate t.
2/9, 28
Factor -20*d**5 + 135*d**4 + 35*d**3.
-5*d**3*(d - 7)*(4*d + 1)
Let 2*z**5 + 294*z**4 + 13790*z**3 + 193554*z**2 - 429664*z + 222024 = 0. Calculate z.
-58, -33, 1
Factor -p**4 - 36*p**3 - 486*p**2 - 2916*p - 6561.
-(p + 9)**4
Solve -4*v**3/3 + 164*v**2/3 - 660*v + 2484 = 0.
9, 23
Suppose m**2 + 53*m + 52 = 0. What is m?
-52, -1
Factor 3*q**2/5 + 4*q/5 + 1/5.
(q + 1)*(3*q + 1)/5
Factor 20*t**3 - 425*t**2 + 865*t - 190.
5*(t - 19)*(t - 2)*(4*t - 1)
Factor a**2/4 + 19*a/2.
a*(a + 38)/4
Factor -2*l**2/7 + 66*l/7 - 124/7.
-2*(l - 31)*(l - 2)/7
Find o, given that -2*o**2/3 - 224*o/3 - 6272/3 = 0.
-56
Solve -4*j**2 - 22712*j - 32239684 = 0.
-2839
Factor 5*g**2 + 5080*g + 1290320.
5*(g + 508)**2
Determine o, given that 5*o**3 - 20*o**2 + 5*o + 30 = 0.
-1, 2, 3
Factor -2*o**5/3 + 2*o**4/3 + 10*o**3/3 - 2*o**2/3 - 16*o/3 - 8/3.
-2*(o - 2)**2*(o + 1)**3/3
Solve -o**5/5 - 4*o**4/5 - o**3/5 + 14*o**2/5 + 4*o + 8/5 = 0 for o.
-2, -1, 2
Factor -2*w**4/11 - 36*w**3/11 - 162*w**2/11.
-2*w**2*(w + 9)**2/11
Factor -4*p**4 - 40*p**3 - 68*p**2 - 32*p.
-4*p*(p + 1)**2*(p + 8)
Determine b, given that 8*b**5/13 + 64*b**4/13 + 154*b**3/13 + 74*b**2/13 - 12*b - 144/13 = 0.
-4, -2, -3/2, 1
Determine z, given that -z**5/10 + 3*z**4/5 - 6*z**3/5 + z**2 - 3*z/10 = 0.
0, 1, 3
Solve 2*t**4/11 + 942*t**3/11 - 7632*t**2/11 + 15328*t/11 = 0.
-479, 0, 4
Factor 2*a**2/5 + 12*a/5 - 14/5.
2*(a - 1)*(a + 7)/5
Solve -3*i**4 - 30*i**3 - 39*i**2 + 180*i - 108 = 0 for i.
-6, 1
Factor -5*c**5 - 10*c**4 + 15*c**3.
-5*c**3*(c - 1)*(c + 3)
What is n in -3*n**4/5 - 132*n**3/5 - 1452*n**2/5 = 0?
-22, 0
Factor 2*v**4/5 + 18*v**3/5 + 54*v**2/5 + 54*v/5.
2*v*(v + 3)**3/5
Suppose -2*k**4/13 - 36*k**3/13 - 210*k**2/13 - 464*k/13 - 288/13 = 0. Calculate k.
-9, -4, -1
Factor 3*l**4 - 42*l**3 + 183*l**2 - 252*l + 108.
3*(l - 6)**2*(l - 1)**2
Find m such that -5*m**3 + 125*m**2 + 2960*m + 13120 = 0.
-8, 41
Factor -3*b**4 - 747*b**3 + 1503*b**2 - 753*b.
-3*b*(b - 1)**2*(b + 251)
Factor -665*t**2 - 5*t.
-5*t*(133*t + 1)
Factor 4*l**4 - 484*l**3 + 14872*l**2 - 13440*l - 28800.
4*(l - 60)**2*(l - 2)*(l + 1)
Suppose 3*j**3/2 - 15*j**2 + 21*j/2 + 27 = 0. What is j?
-1, 2, 9
Factor 3*d**2 + 24*d - 27.
3*(d - 1)*(d + 9)
Factor -2*k**3/7 + 436*k**2/7 - 24610*k/7 + 91592/7.
-2*(k - 107)**2*(k - 4)/7
Find l, given that -l**5 + 47*l**4 + 2226*l**3 - 63918*l**2 - 1962225*l - 1896129 = 0.
-27, -1, 51
Find p, given that 2*p**3 + 314*p**2 = 0.
-157, 0
Solve w**5 + 9*w**4 + 27*w**3 + 31*w**2 + 12*w = 0 for w.
-4, -3, -1, 0
Let s**5 + 52*s**4 + 148*s**3 + 46*s**2 - 149*s - 98 = 0. What is s?
-49, -2, -1, 1
Suppose -7*r**2/8 + 111*r/4 + 8 = 0. Calculate r.
-2/7, 32
Solve -5*u**4 - 35*u**3 - 55*u**2 - 25*u = 0 