p**3.
-4*p**3*(p + 3)/3
Factor -f**2/4 + 59*f/2 + 320.
-(f - 128)*(f + 10)/4
What is c in 4*c**3 + 408*c**2 + 1584*c + 1568 = 0?
-98, -2
Find q such that -4*q**2 - 20*q - 16 = 0.
-4, -1
What is l in 35*l**5 - 150*l**4 + 5*l**3 + 150*l**2 - 40*l = 0?
-1, 0, 2/7, 1, 4
What is k in 2*k**5 + 28*k**4/3 + 28*k**3/3 - 16*k**2/3 - 34*k/3 - 4 = 0?
-3, -1, -2/3, 1
Factor 2*w**4/7 - 4*w**3/7 - 6*w**2/7.
2*w**2*(w - 3)*(w + 1)/7
Determine t so that -3*t**5 - 21*t**4 + 18*t**3 + 204*t**2 - 120*t - 288 = 0.
-6, -4, -1, 2
Factor r**2/3 - 2425*r/3 + 808.
(r - 2424)*(r - 1)/3
Factor 4*s**5 - 76*s**4 - 656*s**3 + 20160*s**2 - 89856*s - 110592.
4*(s - 12)**3*(s + 1)*(s + 16)
Find q such that 3*q**5/5 - 12*q**4/5 - 12*q**3/5 + 48*q**2/5 = 0.
-2, 0, 2, 4
Factor 4*c**3 + 16*c**2 + 4*c - 24.
4*(c - 1)*(c + 2)*(c + 3)
Determine t, given that -t**5/7 + 263*t**4/7 - 1299*t**3/7 + 2329*t**2/7 - 1808*t/7 + 516/7 = 0.
1, 2, 258
Factor -2*t**3 + 188*t**2 - 186*t.
-2*t*(t - 93)*(t - 1)
Factor -3*l**3 + 9*l**2 + 3*l - 9.
-3*(l - 3)*(l - 1)*(l + 1)
Factor 5*q**3 - 10560*q**2 - 5*q + 10560.
5*(q - 2112)*(q - 1)*(q + 1)
Solve -4*h**2 - 36*h + 144 = 0 for h.
-12, 3
Determine b, given that -4*b**5/7 + 8*b**4/7 - 8*b**2/7 + 4*b/7 = 0.
-1, 0, 1
Solve 5*p**4 + 245*p**3 + 215*p**2 - 1185*p + 720 = 0.
-48, -3, 1
Factor -2*j**5/15 + 2*j**4/5 - 2*j**3/5 + 2*j**2/15.
-2*j**2*(j - 1)**3/15
Find a such that -3*a**3 + 2079*a**2 + 4167*a + 2085 = 0.
-1, 695
What is c in -c**4 + 103*c**3/6 + 331*c**2/6 + 91*c/3 - 20/3 = 0?
-2, -1, 1/6, 20
Determine u, given that -u**2/4 - 7*u/4 - 3/2 = 0.
-6, -1
Determine s so that 3*s**3/7 - 15*s**2/7 - 6*s = 0.
-2, 0, 7
Factor -2*a**3/11 - 96*a**2/11 + 200*a/11.
-2*a*(a - 2)*(a + 50)/11
Solve 2*i**5/5 + 199*i**4/5 + 59*i**3 + 98*i**2/5 = 0.
-98, -1, -1/2, 0
Factor -b**3/7 - 4*b**2/7 + 3*b/7 + 18/7.
-(b - 2)*(b + 3)**2/7
Determine l so that 2*l**5/3 + 20*l**4/3 + 16*l**3/3 - 128*l**2/3 = 0.
-8, -4, 0, 2
Factor 5*s**3 + 45*s**2 - 20*s - 180.
5*(s - 2)*(s + 2)*(s + 9)
Let -8*t**5 - 28*t**4 + 40*t**3 + 100*t**2 + 8*t - 32 = 0. What is t?
-4, -1, 1/2, 2
Find s, given that s**5/4 - 11*s**4/2 + 3*s**3/2 + 297*s**2 + 4185*s/4 + 2025/2 = 0.
-3, -2, 15
Determine g, given that 2*g**5/13 - 6*g**4/13 - 10*g**3/13 + 30*g**2/13 + 8*g/13 - 24/13 = 0.
-2, -1, 1, 2, 3
Suppose 2*n**2/11 + 318*n/11 = 0. Calculate n.
-159, 0
Let -2*b**3 + 10*b**2 + 2*b - 10 = 0. Calculate b.
-1, 1, 5
Factor -n**4/7 - 29*n**3/7 + 4*n**2/7 + 116*n/7.
-n*(n - 2)*(n + 2)*(n + 29)/7
Factor -15*b**3 - 130*b**2 + 175*b + 290.
-5*(b - 2)*(b + 1)*(3*b + 29)
Let -3*c**5/4 + 750*c**4 + 1503*c**3 + 3*c**2/2 - 6009*c/4 - 1503/2 = 0. What is c?
-1, 1, 1002
Factor -2*b**3/5 + 8*b**2/5 + 2*b/5 - 8/5.
-2*(b - 4)*(b - 1)*(b + 1)/5
Let 3*j**2 + 63*j - 138 = 0. What is j?
-23, 2
Factor -2*p**3/13 + 1792*p**2/13 - 403194*p/13 + 799236/13.
-2*(p - 447)**2*(p - 2)/13
Suppose 7*d**5 + 2088*d**4 + 162135*d**3 + 959822*d**2 + 1603956*d + 383688 = 0. What is d?
-146, -3, -2/7
Factor 49*f**4/2 - 105*f**3 - 27*f**2/2 + 270*f + 162.
(f - 3)**2*(7*f + 6)**2/2
What is m in -m**5/2 - 4*m**4 + 5*m**3/2 + 20*m**2 - 2*m - 16 = 0?
-8, -2, -1, 1, 2
What is u in 2*u**5/3 + 206*u**4/3 - 2*u**3/3 - 206*u**2/3 = 0?
-103, -1, 0, 1
Factor n**3 + 4881*n**2 - 9765*n + 4883.
(n - 1)**2*(n + 4883)
What is z in 2*z**4/3 + 77*z**3 + 1636*z**2/3 + 572*z - 432 = 0?
-108, -6, -2, 1/2
Factor -4*c**4 - 204*c**3 + 684*c**2 + 1964*c + 1080.
-4*(c - 5)*(c + 1)**2*(c + 54)
Suppose 12*g**5 + 231*g**4 + 477*g**3 + 309*g**2 + 51*g = 0. What is g?
-17, -1, -1/4, 0
Factor m**5/2 + 3*m**4 + 4*m**3.
m**3*(m + 2)*(m + 4)/2
Suppose -3*v**5 + 24*v**4 - 18*v**3 - 120*v**2 - 75*v = 0. What is v?
-1, 0, 5
Factor -p**3/9 - 2*p**2/9 + 35*p/9.
-p*(p - 5)*(p + 7)/9
Suppose -3*v**3/2 + 420*v**2 - 30222*v + 114264 = 0. What is v?
4, 138
What is z in z**3 - 3*z**2 - 9*z + 27 = 0?
-3, 3
Factor 2*r**4 - 24*r**3 - 158*r**2 - 204*r.
2*r*(r - 17)*(r + 2)*(r + 3)
Factor 3*u**4 + 132*u**3 - 273*u**2 + 138*u.
3*u*(u - 1)**2*(u + 46)
Let 2*n**3/9 - 2*n**2/3 = 0. Calculate n.
0, 3
Determine u, given that 5*u**4 - 180*u**3 + 1620*u**2 = 0.
0, 18
Determine t so that 4*t**2 - 1604*t - 3224 = 0.
-2, 403
Factor 2*d**3/5 + 242*d**2/5 + 712*d/5 + 472/5.
2*(d + 1)*(d + 2)*(d + 118)/5
Determine m, given that -47*m**2 + 114*m - 40 = 0.
20/47, 2
Factor -2*o**3 + 16*o**2 + 62*o + 44.
-2*(o - 11)*(o + 1)*(o + 2)
Let -t**5 + 159*t**4 + 1677*t**3 + 2257*t**2 - 10176*t + 6084 = 0. Calculate t.
-6, 1, 169
Find v, given that 16*v**5 + 28*v**4 - 152*v**3 + 4*v**2 + 136*v - 32 = 0.
-4, -1, 1/4, 1, 2
Factor -2*y**3/9 - 4*y**2/9 + 16*y/9.
-2*y*(y - 2)*(y + 4)/9
Suppose 3*f**3/7 - 18*f**2/7 + 15*f/7 + 36/7 = 0. What is f?
-1, 3, 4
Find c such that -c**3 + 3*c**2 + 28*c - 60 = 0.
-5, 2, 6
Solve -2*o**3/7 + 468*o**2/7 + 942*o/7 + 472/7 = 0 for o.
-1, 236
Suppose 20*c**5/7 + 96*c**4/7 - 520*c**3/7 - 2400*c**2/7 + 500*c/7 = 0. Calculate c.
-5, 0, 1/5, 5
What is s in -2*s**4/9 + 8*s**3/9 + 74*s**2/9 + 136*s/9 + 8 = 0?
-2, -1, 9
Determine v so that 2*v**2 - 912*v + 103968 = 0.
228
Find r, given that -2*r**5/3 + 16*r**4 - 40*r**3/3 - 140*r**2/3 + 14*r + 92/3 = 0.
-1, 1, 2, 23
Determine g, given that -4*g**2 + 4880*g - 1488400 = 0.
610
Find b, given that b**3/4 - 191*b**2/4 + 188*b - 187 = 0.
2, 187
Solve 3*t**2 - 174*t + 2475 = 0.
25, 33
Factor -2*s**4/9 + 14*s**3/3 - 160*s**2/9.
-2*s**2*(s - 16)*(s - 5)/9
Factor 65*q**3 - 115*q**2 - 310*q + 360.
5*(q - 1)*(q + 2)*(13*q - 36)
Factor 2*j**3/7 + 44*j**2/7 - 94*j/7 + 48/7.
2*(j - 1)**2*(j + 24)/7
Factor 3*t**2/8 - 519*t/8 - 261/4.
3*(t - 174)*(t + 1)/8
Determine q, given that -q**3/9 + 173*q**2/9 - 671*q/9 - 845/9 = 0.
-1, 5, 169
Factor 15*z**3 + 80*z**2 + 60*z - 80.
5*(z + 2)*(z + 4)*(3*z - 2)
Suppose -3*b**2/2 + 393*b - 783/2 = 0. Calculate b.
1, 261
Factor -c**3/4 + 241*c**2/4 + 365*c/2 + 122.
-(c - 244)*(c + 1)*(c + 2)/4
Factor 4*f**2 + 11760*f + 8643600.
4*(f + 1470)**2
Factor -h**3/3 + 16*h**2/3 - 64*h/3.
-h*(h - 8)**2/3
Find q, given that 3*q**4/2 - 3*q**3/2 - 3*q**2 = 0.
-1, 0, 2
Factor 2*g**4/5 - 192*g**3/5 + 516*g**2 - 2480*g + 4050.
2*(g - 81)*(g - 5)**3/5
Determine c, given that -16*c**3/7 + 12*c**2/7 + 100*c/7 + 24/7 = 0.
-2, -1/4, 3
Find l, given that l**2 - 214*l + 633 = 0.
3, 211
Factor -2*c**2/5 - 558*c/5 - 1108/5.
-2*(c + 2)*(c + 277)/5
Factor -l**3/6 + 13*l**2 + 53*l/2 + 40/3.
-(l - 80)*(l + 1)**2/6
Factor 4*t**3 + 28*t**2 - 224*t + 192.
4*(t - 4)*(t - 1)*(t + 12)
Solve 3*n**5 + 6*n**4 - 81*n**3 - 168*n**2 + 240*n = 0 for n.
-4, 0, 1, 5
Solve 2*c**2/11 + 12*c/11 + 10/11 = 0.
-5, -1
Factor -3*t**2/4 - 57*t/4 - 27/2.
-3*(t + 1)*(t + 18)/4
Factor -6*d**3/7 - 78*d**2/7 - 180*d/7.
-6*d*(d + 3)*(d + 10)/7
Factor 164*d**2 + 8*d.
4*d*(41*d + 2)
Factor 3*d**4 + 30*d**3 + 72*d**2 + 66*d + 21.
3*(d + 1)**3*(d + 7)
Find i, given that 3*i**3 + 665*i**2/2 - 904*i + 454 = 0.
-227/2, 2/3, 2
Factor -4*a**2 + 3960*a + 7936.
-4*(a - 992)*(a + 2)
Determine z so that -2*z**2 + 56*z - 392 = 0.
14
Factor -2*a**2/13 + 24*a/13 + 2.
-2*(a - 13)*(a + 1)/13
Suppose o**2/5 + 14*o/5 - 3 = 0. What is o?
-15, 1
Find h, given that h**3/2 + 19*h**2/2 - 25*h/2 - 475/2 = 0.
-19, -5, 5
Factor 2*i**4/9 + 4*i**3/9 - 14*i**2/9 + 8*i/9.
2*i*(i - 1)**2*(i + 4)/9
Determine i, given that i**5/5 + 3*i**4/5 - 38*i**3/5 - 192*i**2/5 - 224*i/5 = 0.
-4, -2, 0, 7
Factor -3*q**3 + 63*q**2 - 117*q + 57.
-3*(q - 19)*(q - 1)**2
Let 2*l**4/3 + 20*l**3/3 - 2*l**2/3 - 20*l/3 = 0. What is l?
-10, -1, 0, 1
Find i, given that i**2/3 + 310*i + 72075 = 0.
-465
Solve 2*g**3/5 - 30*g**2 - 464*g/5 - 312/5 = 0.
-2, -1, 78
Suppose 3*z**2 - 8670*z + 6264075 = 0. What is z?
1445
Solve 5*v**5 - 35*v**4 + 70*v**3 - 40*v**2 = 0.
0, 1, 2, 4
Find o such that -4*o**2 + 496*o - 3276 = 0.
7, 117
Determine u so that 4*u**5 + 16*u**4 - 36*u**3 - 256*u**2 - 400*u - 192 = 0.
-3, -2, -1, 4
Let -15*q**4/4 + 6*q**3 - 3*q**2/4 - 3*q/2 = 0. Calculate q.
-2/5, 0, 1
Factor 4*c**2 - 6064*c + 2298256.
4*(c - 758)**2
Solve -u**4/6 - 15*u**3 - 44*u**2/3 + 15*u + 89/6 = 0 for u.
-89, -1, 1
Solve -2*a**3 - 10*a**2 - 14*a - 6 = 0 for a.
-3, -1
Solve -4*d**3 - 68*d**2 + 164*d + 228 = 0.
-19, -1, 3
Factor -4*j**2/3 - 112*j + 340/3.
-4*(j - 1)*(j + 85)/3
Determine r so that 4*r**3 + 240*r**2 - 244*r = 0.
-61, 0, 1
Factor -3*g**3 + 60*g*