*(j + 1608)**3
Suppose -75*p**3 + 845*p**2 - 664*p/3 + 44/3 = 0. What is p?
2/15, 11
Determine t so that -t**5/4 + 3*t**4/4 + 5*t**3/2 - 15*t**2/2 - 9*t/4 + 27/4 = 0.
-3, -1, 1, 3
Suppose -r**2/3 + 121*r + 364/3 = 0. What is r?
-1, 364
Find h, given that 5*h**2/4 - 665*h/4 - 335/2 = 0.
-1, 134
Factor -g**3/4 - 9*g**2/4 + 17*g/2 - 6.
-(g - 2)*(g - 1)*(g + 12)/4
Determine g so that -56*g**3 + 492*g**2 - 360*g + 64 = 0.
2/7, 1/2, 8
Determine s so that 40*s**4/13 + 98*s**3/13 + 70*s**2/13 + 12*s/13 = 0.
-6/5, -1, -1/4, 0
Factor -65*y**2 - 1780*y.
-5*y*(13*y + 356)
Solve 21*f**2/4 + 39*f/8 - 3/8 = 0 for f.
-1, 1/14
Factor -5*d**2 + 170*d.
-5*d*(d - 34)
Find x, given that 3*x**3/8 + 255*x**2/4 + 22659*x/8 + 20667/2 = 0.
-83, -4
Find c, given that 3*c**3/7 + 3*c**2/7 - 90*c/7 - 216/7 = 0.
-4, -3, 6
Find r, given that 2*r**2/7 + 10*r/7 + 12/7 = 0.
-3, -2
Solve -2*c**3/3 + 22*c**2 - 242*c + 2662/3 = 0 for c.
11
Determine s so that s**2/6 - 121*s/3 + 14641/6 = 0.
121
Factor -u**5/3 - 136*u**4/3 - 3265*u**3/3 + 30102*u**2 - 202356*u + 426888.
-(u - 6)**3*(u + 77)**2/3
Factor -2*n**3/7 - 12*n**2/7 + 54*n/7.
-2*n*(n - 3)*(n + 9)/7
Find j, given that j**3/5 + 26*j**2/5 + 169*j/5 + 144/5 = 0.
-16, -9, -1
Solve -2*j**4/5 + 21*j**3/5 + 64*j**2/5 + 3*j - 26/5 = 0.
-2, -1, 1/2, 13
Determine d so that 2*d**4/3 + 28*d**3 + 1322*d**2/3 + 3080*d + 24200/3 = 0.
-11, -10
Determine w, given that -25*w**2 - 835*w - 6160 = 0.
-112/5, -11
Factor 3*v**2 - 387*v - 8940.
3*(v - 149)*(v + 20)
Factor -3*c**2 - 1650*c - 226875.
-3*(c + 275)**2
What is x in -x**3/3 + 65*x**2/3 - 341*x - 363 = 0?
-1, 33
Factor 5*f**4 - 240*f**3 + 685*f**2 - 450*f.
5*f*(f - 45)*(f - 2)*(f - 1)
Suppose -9*g**5 - 5091*g**4 + 1703*g**3 + 2831*g**2 + 566*g = 0. Calculate g.
-566, -1/3, 0, 1
Factor v**3/9 + 28*v**2/3 - 4*v/9 - 112/3.
(v - 2)*(v + 2)*(v + 84)/9
Factor -r**3/6 + 7*r**2/3 + 23*r/2 + 9.
-(r - 18)*(r + 1)*(r + 3)/6
Factor 3*d**2/5 - 114*d/5 + 216/5.
3*(d - 36)*(d - 2)/5
Factor 2*x**3 - 10*x**2 - 34*x + 42.
2*(x - 7)*(x - 1)*(x + 3)
Find y such that 5*y**5/4 - 22*y**4 + 91*y**3 + 125*y**2/2 - 369*y/4 - 81/2 = 0.
-1, -2/5, 1, 9
Factor n**3/6 - 7*n**2/6 - 9*n - 12.
(n - 12)*(n + 2)*(n + 3)/6
Let 3*c**2/7 - 402*c/7 + 13467/7 = 0. What is c?
67
Find j such that -j**3/8 + 3*j**2/2 + 189*j/8 = 0.
-9, 0, 21
Factor -33*w**2/7 - 1689*w/7 - 306/7.
-3*(w + 51)*(11*w + 2)/7
Suppose 32*l**5 - 148*l**4 + 68*l**3 + 48*l**2 = 0. Calculate l.
-3/8, 0, 1, 4
Determine p, given that 3*p**3 - 30*p**2 - 81*p + 108 = 0.
-3, 1, 12
Factor -s**5 - s**4 + 7*s**3 + 13*s**2 + 6*s.
-s*(s - 3)*(s + 1)**2*(s + 2)
What is u in -u**4/3 + 116*u**3/3 - 338*u**2/3 - 116*u/3 + 113 = 0?
-1, 1, 3, 113
Find h, given that 3*h**5 + 57*h**4 + 54*h**3 = 0.
-18, -1, 0
Suppose 15125*h**2 - 1650*h + 45 = 0. What is h?
3/55
Determine d, given that -d**5/2 + 35*d**4 - 860*d**3 + 8360*d**2 - 24200*d + 21296 = 0.
2, 22
Factor -2*f**3/7 - 32*f**2/7 - 128*f/7.
-2*f*(f + 8)**2/7
Solve 3*z**2 - 1419*z + 1416 = 0.
1, 472
Solve -2*p**5/9 - 14*p**4/3 + 142*p**3/9 - 6*p**2 - 140*p/9 + 32/3 = 0 for p.
-24, -1, 1, 2
Solve t**5 - 23*t**4 - 26*t**3 + 48*t**2 = 0.
-2, 0, 1, 24
Suppose -2*f**4/3 + 156*f**3 + 792*f**2 + 3340*f/3 + 478 = 0. What is f?
-3, -1, 239
Determine k so that -5*k**5/6 + 25*k**4/6 - 20*k**3/3 + 10*k**2/3 = 0.
0, 1, 2
Solve 2*s**5 - 182*s**4 - 942*s**3 - 1714*s**2 - 1340*s - 384 = 0 for s.
-2, -1, 96
Factor -4*x**3/7 - 80*x**2/7 + 84*x - 936/7.
-4*(x - 3)**2*(x + 26)/7
Let 4*r**2 + 60*r + 56 = 0. Calculate r.
-14, -1
Let 2*d**5/9 - 218*d**4/9 + 2972*d**3/3 - 163444*d**2/9 + 1179082*d/9 - 341446/3 = 0. What is d?
1, 21, 29
Suppose 2*c**3 - 32*c**2 = 0. Calculate c.
0, 16
Factor 3*c**2 - 1014*c + 4008.
3*(c - 334)*(c - 4)
Factor 4*y**3 + 212*y**2 - 6116*y + 36300.
4*(y - 11)**2*(y + 75)
Factor -2*t**3/17 - 104*t**2/17 - 570*t/17 - 828/17.
-2*(t + 3)**2*(t + 46)/17
Factor 5*i**3/3 - 35*i**2/3 - 10*i + 120.
5*(i - 6)*(i - 4)*(i + 3)/3
What is v in 2*v**2/11 - 18*v/11 = 0?
0, 9
Factor 5*j**3 - 40*j**2 - 320*j + 2560.
5*(j - 8)**2*(j + 8)
Factor -2*v**2 + 270*v - 1792.
-2*(v - 128)*(v - 7)
Determine g, given that g**3/3 + 11*g**2 - 274*g/3 + 80 = 0.
-40, 1, 6
Solve -q**2/2 + 91*q = 0.
0, 182
Factor 3*d**4 - 33*d**2 + 54*d - 24.
3*(d - 2)*(d - 1)**2*(d + 4)
Suppose 2*q**2/13 + 32*q/13 - 34/13 = 0. Calculate q.
-17, 1
Suppose -o**5 + 11*o**4 - 4*o**3 - 64*o**2 + 32*o + 80 = 0. What is o?
-2, -1, 2, 10
Solve -h**2/5 + h/5 + 6 = 0 for h.
-5, 6
Factor 2*k**3/9 + 108*k**2 + 17496*k + 944784.
2*(k + 162)**3/9
Find v, given that -4*v**3 - 40*v**2 + 4*v + 40 = 0.
-10, -1, 1
Suppose 98*w**5 - 371*w**4 + 464*w**3 - 143*w**2 - 112*w + 64 = 0. What is w?
-1/2, 1, 8/7
Factor -5*i**2 - 590*i - 17405.
-5*(i + 59)**2
Determine v so that v**3/2 - 1199*v**2/2 + 2395*v/2 - 1197/2 = 0.
1, 1197
Factor -s**3 - 3*s**2 + 18*s + 40.
-(s - 4)*(s + 2)*(s + 5)
Factor 3*r**3 + 2085*r**2 + 363309*r + 361227.
3*(r + 1)*(r + 347)**2
Suppose -a**2 + 72*a + 225 = 0. Calculate a.
-3, 75
What is l in 3*l**4 + 675*l**3 + 1329*l**2 - 2007*l = 0?
-223, -3, 0, 1
Factor -m**5 + 8*m**4 - 24*m**3 + 34*m**2 - 23*m + 6.
-(m - 3)*(m - 2)*(m - 1)**3
Let q**4 + q**3 - 15*q**2 - 9*q + 54 = 0. Calculate q.
-3, 2, 3
Determine f, given that -2*f**2 + 472*f - 27848 = 0.
118
Determine b, given that 3*b**2 - 27*b - 408 = 0.
-8, 17
Determine j so that -5*j**4 + 55*j**3 - 15*j**2 - 1015*j + 980 = 0.
-4, 1, 7
Factor -4*x**4 + 20*x**3 + 252*x**2 - 548*x + 280.
-4*(x - 10)*(x - 1)**2*(x + 7)
Find z such that -3*z**2 + 54*z - 135 = 0.
3, 15
Determine o, given that -5*o**5 + 20*o**4 + 15*o**3 - 90*o**2 = 0.
-2, 0, 3
Factor 4*b**4 - 988*b**3 - 992*b**2.
4*b**2*(b - 248)*(b + 1)
Solve 2*d**4 + 82*d**3 + 234*d**2 + 230*d + 76 = 0.
-38, -1
Let -j**3/8 - 5*j**2/4 + 841*j/8 + 425/4 = 0. Calculate j.
-34, -1, 25
Suppose j**5 - j**3 = 0. What is j?
-1, 0, 1
Suppose -3*x**5/4 + 12*x**4 - 111*x**3/2 + 42*x**2 + 441*x/4 = 0. Calculate x.
-1, 0, 3, 7
Factor -4*t**4 - 7736*t**3 - 3740356*t**2.
-4*t**2*(t + 967)**2
Determine s, given that 2*s**2/5 + 176*s/5 = 0.
-88, 0
Let -3*z**5/5 - 12*z**4/5 - 3*z**3 - 6*z**2/5 = 0. Calculate z.
-2, -1, 0
Factor 2*y**4/3 - 3562*y**3/3 + 704484*y**2 - 139017384*y - 139723056.
2*(y - 594)**3*(y + 1)/3
Factor 3*y**4 + 33*y**3 + 27*y**2 - 33*y - 30.
3*(y - 1)*(y + 1)**2*(y + 10)
Factor 4*m**5 + 100*m**4 + 352*m**3 + 336*m**2.
4*m**2*(m + 2)**2*(m + 21)
Let -g**2/2 - 147*g/2 + 74 = 0. What is g?
-148, 1
Suppose p**5/3 + 455*p**4/3 - 913*p**3/3 + 457*p**2/3 = 0. What is p?
-457, 0, 1
Let r**3/3 - 59*r**2/3 + 899*r/3 - 841/3 = 0. Calculate r.
1, 29
Factor 2*t**4 - 7712*t**3 + 11151552*t**2 - 7166730752*t + 1727182111232.
2*(t - 964)**4
Suppose 25*g**3 - 4865*g**2 - 1950*g = 0. Calculate g.
-2/5, 0, 195
Let -5*k**3/4 + 225*k**2/2 - 445*k/4 = 0. What is k?
0, 1, 89
Factor -r**2/3 - 428*r/3.
-r*(r + 428)/3
Let 12*h**5/5 + 262*h**4/5 + 212*h**3/5 + 42*h**2/5 = 0. What is h?
-21, -1/2, -1/3, 0
Factor 16*q**3 - 1664*q**2 + 1652*q - 412.
4*(q - 103)*(2*q - 1)**2
Let -2*i**2/5 - 444*i/5 - 24642/5 = 0. What is i?
-111
Factor 9*b**2/2 + 9285*b/2 - 1548.
3*(b + 1032)*(3*b - 1)/2
Find i such that 3*i**2 + 27*i + 24 = 0.
-8, -1
Let 2*k**2 - 224*k - 1666 = 0. Calculate k.
-7, 119
Suppose 8*p**3 - 130*p**2 - 256*p + 72 = 0. What is p?
-2, 1/4, 18
Let 2*j**5 - 620*j**4 + 76880*j**3 - 4766560*j**2 + 147763360*j - 1832265664 = 0. Calculate j.
62
Factor 2*c**2/9 - 4*c.
2*c*(c - 18)/9
Factor 3*k**3/4 - 873*k**2/4 + 84681*k/4 - 2738019/4.
3*(k - 97)**3/4
Factor -2*g**4 + 20*g**3 - 64*g**2 + 64*g.
-2*g*(g - 4)**2*(g - 2)
Factor d**2/5 - 263*d/5 + 522/5.
(d - 261)*(d - 2)/5
Let -3*d**3/7 + 75*d**2/7 - 141*d/7 + 69/7 = 0. Calculate d.
1, 23
Solve 2*r**3 - 24*r**2 - 162*r - 136 = 0 for r.
-4, -1, 17
Factor 5*o**2 + 45*o + 90.
5*(o + 3)*(o + 6)
Factor 4*o**2/7 + 20*o/7.
4*o*(o + 5)/7
Determine m, given that -m**3/12 + 109*m**2/3 - 11881*m/3 = 0.
0, 218
Solve 2*x**2 + 2112*x + 557568 = 0.
-528
Solve 2883*v**5/5 - 6138*v**4/5 - 2127*v**3/5 + 6114*v**2/5 - 756*v/5 + 24/5 = 0 for v.
-1, 2/31, 1, 2
What is p in -p**4/5 + 9*p**3/5 + 3*p**2 - 161*p/5 - 294/5 = 0?
-3, -2, 7
Factor 5*j**4/2 - 265*j**3/2 - 570*j**2.
5*j**2*(j - 57)*(j + 4)/2
Factor k**3/3 - 13*k**2/3 + 4*k.
k*(k - 12)*(k - 1)/3
Factor -2*w**4 - 84*w**