g**2 + 51*g/2 - 15.
-3*(g - 2)*(6*g - 5)/2
Factor -k**3/3 + 634*k**2/3 - 100489*k/3.
-k*(k - 317)**2/3
What is z in -3*z**5 - 42*z**4 - 96*z**3 + 384*z**2 = 0?
-8, 0, 2
Factor 2*y**4/5 - 16*y**3/5 + 46*y**2/5 - 56*y/5 + 24/5.
2*(y - 3)*(y - 2)**2*(y - 1)/5
Factor -5*z**3/6 + 455*z**2/2 - 15640*z + 46240/3.
-5*(z - 136)**2*(z - 1)/6
Factor 2*y**4/7 - 8*y**3/7 - 22*y**2/7 - 12*y/7.
2*y*(y - 6)*(y + 1)**2/7
Factor 2*h**4/3 + 20*h**3/3 + 16*h**2/3 - 20*h/3 - 6.
2*(h - 1)*(h + 1)**2*(h + 9)/3
Suppose 3*f**5 + 42*f**4 + 75*f**3 + 36*f**2 = 0. Calculate f.
-12, -1, 0
Let c**3/2 - 15*c**2/2 - 8*c = 0. What is c?
-1, 0, 16
Factor 35*q**3/4 + 325*q**2/4 - 65*q - 25.
5*(q - 1)*(q + 10)*(7*q + 2)/4
Factor 2*d**2 - 776*d/5 - 312/5.
2*(d - 78)*(5*d + 2)/5
What is m in -2*m**3 + 292*m**2 - 290*m = 0?
0, 1, 145
Factor 3*r**2/4 - 2967*r/4 + 741.
3*(r - 988)*(r - 1)/4
Factor -4*z**2 + 716*z - 2800.
-4*(z - 175)*(z - 4)
Find l, given that -4*l**3 - 116*l**2 + 4*l + 116 = 0.
-29, -1, 1
Factor m**4/2 - 23*m**3/2 + 47*m**2 + 144*m.
m*(m - 16)*(m - 9)*(m + 2)/2
Factor i**5 - 73*i**4/2 - 37*i**3/2.
i**3*(i - 37)*(2*i + 1)/2
Find a, given that -50*a**5 - 1160*a**4/3 - 8498*a**3/9 - 5644*a**2/9 + 664*a/3 - 16 = 0.
-3, -2, 2/15
Suppose 4*v**5/7 + 8*v**4/7 - 24*v**3/7 - 80*v**2/7 - 76*v/7 - 24/7 = 0. Calculate v.
-2, -1, 3
Factor -4*p**5 + 120*p**4 - 1008*p**3 + 1568*p**2.
-4*p**2*(p - 14)**2*(p - 2)
Factor -h**3/5 + 8*h**2/5 - 3*h.
-h*(h - 5)*(h - 3)/5
Factor r**3/5 - 14*r**2 - 147*r/5 + 216/5.
(r - 72)*(r - 1)*(r + 3)/5
Factor 4*p**5 - 4*p**4 - 88*p**3 - 176*p**2 - 96*p.
4*p*(p - 6)*(p + 1)*(p + 2)**2
Factor -s**3/5 - 122*s**2/5 + 123*s/5.
-s*(s - 1)*(s + 123)/5
Solve -3*n**5 + 282*n**3 + 816*n**2 + 801*n + 264 = 0.
-8, -1, 11
Solve 4*t**3 + 108*t**2 + 924*t + 2420 = 0 for t.
-11, -5
Factor -4*k**2 + 28*k + 72.
-4*(k - 9)*(k + 2)
Let -3*p**5 - 18*p**4 - 30*p**3 + 33*p + 18 = 0. What is p?
-3, -2, -1, 1
Factor 9261*x**3/5 - 10584*x**2/5 + 4032*x/5 - 512/5.
(21*x - 8)**3/5
Factor 5*z**2 + 365*z + 1050.
5*(z + 3)*(z + 70)
Factor 5*j**3 + 35*j**2 - 200*j + 220.
5*(j - 2)**2*(j + 11)
Factor 2*s**2 - 264*s - 3770.
2*(s - 145)*(s + 13)
Factor 4*h**4 + 12*h**3 - 112*h**2.
4*h**2*(h - 4)*(h + 7)
Factor -4*b**3 + 24*b**2 + 160*b - 768.
-4*(b - 8)*(b - 4)*(b + 6)
Determine u, given that u**5/5 + 9*u**4/5 + 23*u**3/5 + 3*u**2/5 - 36*u/5 = 0.
-4, -3, 0, 1
Suppose -h**4 + 5*h**3 + 84*h**2 = 0. Calculate h.
-7, 0, 12
Find q such that -q**3 + 3*q**2 - 2*q = 0.
0, 1, 2
Suppose -4*x**3 - 169*x**2 + 694*x + 184 = 0. Calculate x.
-46, -1/4, 4
Find m such that -2*m**2/17 + 366*m/17 + 740/17 = 0.
-2, 185
Suppose -2*j**5/5 + 18*j**4/5 + 66*j**3/5 + 14*j**2 + 24*j/5 = 0. Calculate j.
-1, 0, 12
Suppose -4*n**2/3 + 792*n - 117612 = 0. What is n?
297
Let -4*z**4 + 12*z**3 + 24*z**2 - 32*z = 0. What is z?
-2, 0, 1, 4
Suppose -3*o**3 - 45*o**2 - 216*o - 324 = 0. What is o?
-6, -3
Factor o**3/4 + o**2 + 5*o/4 + 1/2.
(o + 1)**2*(o + 2)/4
Determine y so that -9*y**3 - 357*y**2 - 234*y = 0.
-39, -2/3, 0
Factor 9*u**3/2 + 1023*u**2/2 - 171*u.
3*u*(u + 114)*(3*u - 1)/2
Find x such that -14*x**3 + 176*x**2 - 250*x + 88 = 0.
4/7, 1, 11
Let 9*p**3 - 9852*p**2 + 2699445*p - 1795254 = 0. What is p?
2/3, 547
Determine m so that -283*m**3 - 847*m**2 + 1138*m - 8 = 0.
-4, 2/283, 1
Find l such that -26*l**2/5 - 114*l/5 - 108/5 = 0.
-3, -18/13
Let -2*v**4/5 - 32*v**3/5 - 126*v**2/5 + 32*v/5 + 128/5 = 0. What is v?
-8, -1, 1
Factor 7*m**4 - 26*m**3 - 8*m**2.
m**2*(m - 4)*(7*m + 2)
Let -3*b**3/2 - 12*b**2 + 15*b/2 + 126 = 0. What is b?
-7, -4, 3
Find g such that 5*g**5 - 40*g**4 - 15*g**3 + 130*g**2 - 80*g = 0.
-2, 0, 1, 8
Factor -2*s**2/9 + 26*s/9 - 80/9.
-2*(s - 8)*(s - 5)/9
Factor 3*l**5 - 12*l**3 - 6*l**2 + 9*l + 6.
3*(l - 2)*(l - 1)*(l + 1)**3
Factor -3*f**2/2 - 105*f - 2907/2.
-3*(f + 19)*(f + 51)/2
Solve 12*s**5 + 45*s**4 - 264*s**3 - 369*s**2 + 1404*s - 324 = 0.
-6, -3, 1/4, 2, 3
Suppose -2*v**3 + 78*v**2 - 648*v = 0. Calculate v.
0, 12, 27
What is n in -3*n**4 + 15*n**3 - 18*n**2 = 0?
0, 2, 3
Let p**2 - 19664*p + 96668224 = 0. Calculate p.
9832
Factor 2*m**2/17 + 64*m/17 - 8.
2*(m - 2)*(m + 34)/17
What is m in 3*m**3 + 1116*m**2 + 102663*m - 209814 = 0?
-187, 2
Factor -2*r**2/9 + 100*r/9 + 208/9.
-2*(r - 52)*(r + 2)/9
Factor -3*p**2/4 + 6*p - 21/4.
-3*(p - 7)*(p - 1)/4
Factor -3*h**4/5 + 654*h**3/5 - 36288*h**2/5 + 69984*h/5.
-3*h*(h - 108)**2*(h - 2)/5
Determine j so that 4*j**5/3 - 236*j**4/3 + 4876*j**3/3 - 42740*j**2/3 + 167200*j/3 - 242000/3 = 0.
5, 22
Find w, given that -2*w**4/5 + 6*w**3 - 144*w**2/5 + 216*w/5 = 0.
0, 3, 6
Solve -w**5/7 - 10*w**4/7 - 16*w**3/7 + 2*w**2/7 + 17*w/7 + 8/7 = 0.
-8, -1, 1
Let -5*a**4/4 + 103*a**3/4 - 453*a**2/4 + 477*a/4 + 135/2 = 0. Calculate a.
-2/5, 3, 15
Let 3*p**5/4 - 29*p**4/4 - 51*p**3/4 + 73*p**2/4 + 12*p - 11 = 0. Calculate p.
-2, -1, 2/3, 1, 11
Factor -2*p**3/11 + 1874*p**2/11 - 439920*p/11 + 438048/11.
-2*(p - 468)**2*(p - 1)/11
Let -4*g**3 + 3432*g**2 - 981552*g + 93574624 = 0. Calculate g.
286
Let -m**3/4 + 21*m**2/4 - 2*m - 255 = 0. Calculate m.
-6, 10, 17
Solve 2*z**3 + 104*z**2 - 2*z - 104 = 0 for z.
-52, -1, 1
Factor 2*x**3/5 - 34*x**2/5 + 12*x/5 + 144.
2*(x - 15)*(x - 6)*(x + 4)/5
Factor 4*x**3 - 26*x**2 - 14*x.
2*x*(x - 7)*(2*x + 1)
Factor 175*w**2 - 170*w + 40.
5*(5*w - 2)*(7*w - 4)
Factor 2*c**3/13 - 11350*c**2/13 + 16108486*c/13 - 16097138/13.
2*(c - 2837)**2*(c - 1)/13
Let 3*f**2/4 - 5*f/4 - 1/2 = 0. What is f?
-1/3, 2
Factor 2*h**2/13 + 48*h/13.
2*h*(h + 24)/13
Factor 2*a**5/3 + 28*a**4 - 48*a**3 - 6624*a**2 + 56160*a - 129600.
2*(a - 6)**3*(a + 30)**2/3
Determine j, given that -32*j**3 - 112*j**2 - 98*j = 0.
-7/4, 0
Let 9*u**2/5 + 20459*u/5 + 4546/5 = 0. Calculate u.
-2273, -2/9
What is w in w**2/5 + 19*w/5 + 18/5 = 0?
-18, -1
Solve -n**4/2 + 21*n**3/2 - 97*n**2/2 - 165*n/2 + 121 = 0.
-2, 1, 11
Factor 4*a**4 - 312*a**3 + 4980*a**2 + 10912*a + 5616.
4*(a - 54)*(a - 26)*(a + 1)**2
Suppose -y**4/2 + 15*y**3 - 107*y**2/2 + 39*y = 0. Calculate y.
0, 1, 3, 26
Factor -f**2/4 - 25*f/2 - 49/4.
-(f + 1)*(f + 49)/4
Factor -v**4/3 - 65*v**3/3 - 318*v**2 + 3332*v/3 - 2312/3.
-(v - 2)*(v - 1)*(v + 34)**2/3
What is p in -588747*p**2 - 1772*p - 4/3 = 0?
-2/1329
Let 33*d**5/2 - 213*d**4/2 + 435*d**3/2 - 255*d**2/2 - 54*d + 54 = 0. Calculate d.
-6/11, 1, 2, 3
Find o such that 35*o**5 - 185*o**4 + 225*o**3 + 125*o**2 - 260*o + 60 = 0.
-1, 2/7, 1, 2, 3
Let -405*k**4 + 4635*k**3 + 2860*k**2 - 1940*k + 240 = 0. What is k?
-1, 2/9, 12
Let -f**2/2 + 162 = 0. What is f?
-18, 18
Let 2*t**5/13 - 70*t**4/13 + 710*t**3/13 - 1730*t**2/13 + 1600*t/13 - 512/13 = 0. Calculate t.
1, 16
Let -2*v**4/9 + 50*v**3/3 + 464*v**2/9 + 104*v/3 = 0. What is v?
-2, -1, 0, 78
Factor 2*g**3/3 - 204*g**2 - 410*g - 616/3.
2*(g - 308)*(g + 1)**2/3
What is w in -150*w**3/7 + 1041*w**2 + 3093*w/7 - 42 = 0?
-1/2, 2/25, 49
Determine y, given that y**4/12 - 13*y**3/4 + 81*y**2/2 - 496*y/3 + 128 = 0.
1, 6, 16
Suppose -333*t**3/8 + 7*t**2/4 = 0. What is t?
0, 14/333
Factor -4*w**3 - 496*w**2 - 15376*w.
-4*w*(w + 62)**2
Factor 135*h**4 - 12960*h**3 - 13050*h**2 - 4360*h - 485.
5*(h - 97)*(3*h + 1)**3
Find s such that -2*s**3 + 80*s**2 + 8*s - 320 = 0.
-2, 2, 40
Find j such that -3*j**2/8 - 987*j/8 = 0.
-329, 0
Find o, given that 2*o**4 + 5426*o**3 + 4908720*o**2 + 1482429824*o + 1477526528 = 0.
-904, -1
Find a such that -3*a**5/2 - 27*a**4 - 207*a**3/2 + 84*a**2 + 378*a + 216 = 0.
-12, -6, -1, 2
Factor 2*a**5/3 + a**4 - 5*a**3/3 - 13*a**2/3 - 3*a - 2/3.
(a - 2)*(a + 1)**3*(2*a + 1)/3
Determine z so that z**3/7 + 9*z**2/7 - 36*z/7 = 0.
-12, 0, 3
Solve 4*p**5/7 - 4*p**4/7 - 24*p**3/7 + 16*p**2/7 + 32*p/7 = 0 for p.
-2, -1, 0, 2
Factor -i**4/2 - 21*i**3 - 240*i**2 - 1075*i - 3375/2.
-(i + 5)**3*(i + 27)/2
Find v such that 16*v**3 + 228*v**2 - 760*v - 204 = 0.
-17, -1/4, 3
Find r, given that 4*r**5 + 116*r**4 - 144*r**3 - 720*r**2 = 0.
-30, -2, 0, 3
Solve 2*f**3/21 + 16*f**2/21 + 2*f/3 = 0.
-7, -1, 0
Factor -4*u**3/5 - 12*u**2/5 + 72*u/5 + 32.
-4*(u - 4)*(u + 2)*(u + 5)/5
Find s such that -s**4 + 114*s**3 + 231*s**2 + 116*s = 0.
-1, 0, 116
Suppose z**5/4 - 7*z**4/4 - 9*z**3/4 + 7*z**2/4 + 2*z = 0. Calculate z.
-1, 0, 1, 8
Factor -2*k**3/3 + 60*k**2 - 1800*k + 18000.
-2*(k - 30)**3/3
Solve -3*f**5 - 27*f