 94*s**2 + 31*s.
s*(s - 31)*(s - 1)**3
Determine i so that 2*i**3 - 36*i**2 - 486*i = 0.
-9, 0, 27
Factor 3*z**2 + 81*z - 84.
3*(z - 1)*(z + 28)
Solve -2*d**2/9 + 26*d/3 + 80/9 = 0 for d.
-1, 40
Let 4*s**3 - 44*s**2 - 48*s = 0. What is s?
-1, 0, 12
Factor j**4/4 - 85*j**3/2 + 7557*j**2/4 - 7055*j + 6889.
(j - 83)**2*(j - 2)**2/4
Solve 2*j**2/5 - 18*j/5 + 16/5 = 0 for j.
1, 8
What is v in -4*v**2 + 44*v - 120 = 0?
5, 6
Suppose -4*v**4 + 412*v**3 - 8020*v**2 - 138396*v - 129960 = 0. What is v?
-10, -1, 57
Suppose 2*v**3/13 - 274*v**2/13 - 1138*v/13 + 1410/13 = 0. What is v?
-5, 1, 141
What is c in -2*c**3/9 - 60*c**2 = 0?
-270, 0
Factor w**3 + 69*w**2 - 712*w - 780.
(w - 10)*(w + 1)*(w + 78)
Suppose -v**4 - 2*v**3 - v**2 = 0. What is v?
-1, 0
Find a such that 90*a**3 + 159*a**2 - 48*a - 12 = 0.
-2, -1/6, 2/5
Find n, given that 72*n**4 - 252*n**3 - 164*n**2 + 80*n = 0.
-5/6, 0, 1/3, 4
Factor -15*c**2 - 9*c + 6.
-3*(c + 1)*(5*c - 2)
Suppose -v**3/5 - 444*v**2/5 - 65712*v/5 - 3241792/5 = 0. What is v?
-148
Determine m so that m**4/2 - m**3 - 39*m**2/2 + 76*m - 56 = 0.
-7, 1, 4
Solve 105*z**5/2 - 2901*z**4/4 - 297*z**3/2 + 165*z**2 + 42*z = 0 for z.
-2/5, -2/7, 0, 1/2, 14
Factor y**4/10 + 104*y**3/5 + 1152*y**2 - 10240*y - 1638400.
(y - 32)*(y + 80)**3/10
Factor 9*a**5 + 60*a**4 + 117*a**3 + 54*a**2.
3*a**2*(a + 3)**2*(3*a + 2)
Factor -2*c**3/15 - 2*c**2/15 + 4*c/15.
-2*c*(c - 1)*(c + 2)/15
Determine c so that -2*c**4/9 - 4*c**3 - 16*c**2 + 36*c + 162 = 0.
-9, -3, 3
Suppose 3*m**5/2 - 105*m**4/2 + 387*m**3/2 - 471*m**2/2 + 93*m = 0. Calculate m.
0, 1, 2, 31
Factor 75*t**4 - 2610*t**3 + 23727*t**2 - 17748*t + 3468.
3*(t - 17)**2*(5*t - 2)**2
Find b, given that b**2/4 + 16*b + 975/4 = 0.
-39, -25
Find p such that -p**3 + 15*p**2 - 27*p + 13 = 0.
1, 13
Solve -2*s**3/9 - 26*s**2 - 2320*s/3 - 6728/9 = 0 for s.
-58, -1
Determine u, given that -u**3/7 - 10*u**2/7 - 9*u/7 = 0.
-9, -1, 0
Solve -s**4/4 + 16*s**3 + 1337*s**2/4 + 885*s - 6075 = 0.
-10, 3, 81
Solve 44*c**5 - 1394*c**4 + 10790*c**3 + 4420*c**2 - 6784*c + 1024 = 0 for c.
-1, 2/11, 1/2, 16
Suppose -42025*s**5 + 8610*s**4 + 44905*s**3 - 8450*s**2 - 2880*s - 160 = 0. What is s?
-1, -4/41, 2/5, 1
Solve -3*k**4/4 - 3*k**3/4 + 9*k**2 - 3*k - 12 = 0 for k.
-4, -1, 2
Factor 3*b**3 - 18*b**2 - 27*b + 162.
3*(b - 6)*(b - 3)*(b + 3)
Determine l so that -4*l**2 + 712*l - 708 = 0.
1, 177
Let r**4/2 - 12*r**3 + 59*r**2 + 156*r + 169/2 = 0. Calculate r.
-1, 13
Let -8*i**5 - 28*i**4 - 28*i**3 - 8*i**2 = 0. Calculate i.
-2, -1, -1/2, 0
Factor -3*t**3 + 21*t**2 + 168*t + 144.
-3*(t - 12)*(t + 1)*(t + 4)
Suppose -2*v**5/21 + 2*v**4/21 + 8*v**3/21 - 8*v**2/21 = 0. Calculate v.
-2, 0, 1, 2
Factor -2*u**3 + 10*u**2/3 - 2*u/3 - 2/3.
-2*(u - 1)**2*(3*u + 1)/3
What is r in -3*r**5 + 9*r**4 - 3*r**3 - 9*r**2 + 6*r = 0?
-1, 0, 1, 2
Suppose 3*c**3 - 375*c**2 + 11529*c + 11907 = 0. What is c?
-1, 63
Suppose -4*g**5 + 24*g**4 - 20*g**3 = 0. What is g?
0, 1, 5
Find q such that 3*q**3/8 - 3*q**2/2 - 57*q/8 - 21/4 = 0.
-2, -1, 7
Let -3*v**5/5 + 43*v**4/5 + 3*v**3/5 - 219*v**2/5 - 52*v - 84/5 = 0. What is v?
-1, -2/3, 3, 14
Factor 3*n**4/4 - 15*n**3/2 - 3*n**2/4 + 15*n/2.
3*n*(n - 10)*(n - 1)*(n + 1)/4
Factor -4*w**2/3 + 4*w - 3.
-(2*w - 3)**2/3
Factor 4*u**2/3 + 184*u/3 + 60.
4*(u + 1)*(u + 45)/3
Find i such that -2*i**2 - 1746*i + 1748 = 0.
-874, 1
Let 2*o**5/3 + 146*o**4/3 + 2732*o**3/3 + 768*o**2 - 1728*o = 0. What is o?
-36, -2, 0, 1
Solve -3*a**5/5 - 13*a**4/5 - a**3/5 + 13*a**2/5 + 4*a/5 = 0 for a.
-4, -1, -1/3, 0, 1
Factor 2*k**3 - 158*k**2 + 3344*k - 8664.
2*(k - 38)**2*(k - 3)
Suppose o**4/2 + 39*o**3/2 + 75*o**2/2 + 37*o/2 = 0. Calculate o.
-37, -1, 0
Factor 4*a**2/5 - 72*a/5 + 64.
4*(a - 10)*(a - 8)/5
Determine i, given that 3*i**4/7 - 12*i**3/7 + 15*i**2/7 - 6*i/7 = 0.
0, 1, 2
Factor 3*k**2/5 + 36*k/5 + 33/5.
3*(k + 1)*(k + 11)/5
Let 2*i**4/5 - 22*i**3/5 - 194*i**2/5 - 34*i = 0. What is i?
-5, -1, 0, 17
Let 2*b**2/3 - 8*b/3 - 14 = 0. Calculate b.
-3, 7
Factor a**4 - 6*a**3 + 9*a**2 - 4*a.
a*(a - 4)*(a - 1)**2
Factor -2*k**3 - 886*k**2 - 1766*k - 882.
-2*(k + 1)**2*(k + 441)
Factor 2*n**2/13 - 2*n/13.
2*n*(n - 1)/13
Factor -3*k**4 - 513*k**3 - 4455*k**2 - 13203*k - 13122.
-3*(k + 3)**3*(k + 162)
Factor -3*u**2/5 + 159*u/5 + 10374/5.
-3*(u - 91)*(u + 38)/5
Determine a so that -a**4/6 - 73*a**3/6 - 71*a**2/3 = 0.
-71, -2, 0
Determine y so that -36*y**4 - 292*y**3 - 716*y**2 - 508*y - 48 = 0.
-4, -3, -1, -1/9
Factor 3*n**5 + 18*n**4 + 9*n**3 - 30*n**2.
3*n**2*(n - 1)*(n + 2)*(n + 5)
Factor u**4 + 28*u**3 + 198*u**2 + 540*u + 513.
(u + 3)**3*(u + 19)
Factor o**3/4 + 91*o**2/4 + 2115*o/4 + 2025/4.
(o + 1)*(o + 45)**2/4
Factor -2*p**3/9 + 8*p**2/9 - 10*p/9 + 4/9.
-2*(p - 2)*(p - 1)**2/9
Factor 4*s**3/5 + 1932*s**2/5.
4*s**2*(s + 483)/5
Find x, given that 13*x**4/6 + 20*x**3 + 44*x**2 + 16*x/3 - 40 = 0.
-6, -2, 10/13
Let 3*p**5 - 18*p**4 + 111*p**3/4 - 63*p**2/4 + 3*p = 0. Calculate p.
0, 1/2, 1, 4
Factor 2*m**4/5 + 14*m**3/5 + 22*m**2/5 + 2*m.
2*m*(m + 1)**2*(m + 5)/5
Factor -2*y**2/3 + 22*y/3 + 8.
-2*(y - 12)*(y + 1)/3
Find o, given that -o**5/4 - 3*o**4 - 17*o**3/2 - 3*o**2 + 35*o/4 + 6 = 0.
-8, -3, -1, 1
Find x, given that -4*x**2 - 3512*x = 0.
-878, 0
Let -2*m**3/7 - 1166*m**2/7 - 169360*m/7 + 170528/7 = 0. What is m?
-292, 1
Find v, given that -65*v**4 + 185*v**3 + 290*v**2 - 740*v - 120 = 0.
-2, -2/13, 2, 3
Factor 2*b**3/13 + 42*b**2/13 - 44*b/13.
2*b*(b - 1)*(b + 22)/13
Determine m, given that 2000*m**5 - 2016300*m**4 - 1714760*m**3 - 544784*m**2 - 76680*m - 4036 = 0.
-1/4, -1/5, 1009
Factor q**2/7 - 270*q/7 + 269/7.
(q - 269)*(q - 1)/7
Find c, given that 5*c**4 + 1195*c**3 - 4840*c**2 + 4860*c = 0.
-243, 0, 2
Find h, given that -2*h**2/5 - 322*h/5 - 4116/5 = 0.
-147, -14
Determine b so that -2*b**2/5 + 2*b - 8/5 = 0.
1, 4
Factor d**3/3 - 9*d**2 - 19*d - 29/3.
(d - 29)*(d + 1)**2/3
Determine w, given that w**2/4 + 59*w/4 - 15 = 0.
-60, 1
Find v such that 500*v**3 - 4100*v**2 + 805*v - 40 = 0.
1/10, 8
Suppose -15*b**2 + 55*b - 30 = 0. What is b?
2/3, 3
Factor -5*z**3 + 15*z**2 - 20.
-5*(z - 2)**2*(z + 1)
Factor 2*v**4 - 48*v**3 - 52*v**2 + 48*v + 50.
2*(v - 25)*(v - 1)*(v + 1)**2
Factor 3*u**3/7 - 975*u**2/7 + 2886*u/7 + 552.
3*(u - 322)*(u - 4)*(u + 1)/7
Factor s**3 - 17*s**2 + 55*s - 39.
(s - 13)*(s - 3)*(s - 1)
Factor -4*q**3/9 + 404*q**2/9 + 820*q/9 + 412/9.
-4*(q - 103)*(q + 1)**2/9
Solve -3*v**4 - 27*v**3 - 6*v**2 + 252*v - 216 = 0.
-6, 1, 2
Determine l so that -l**5/6 - 7*l**4/6 - l**3 + 14*l**2/3 + 20*l/3 = 0.
-5, -2, 0, 2
Determine l so that 3*l**3 - 9*l**2 + 6*l = 0.
0, 1, 2
What is m in -m**2/5 - 34*m/5 = 0?
-34, 0
Factor j**2/4 + 755*j/2 + 570025/4.
(j + 755)**2/4
Factor -3*c**3 - 183*c**2 - 174*c + 360.
-3*(c - 1)*(c + 2)*(c + 60)
Find k such that -k**4/4 - 3*k**3/4 - k**2/4 + 3*k/4 + 1/2 = 0.
-2, -1, 1
Find x, given that -8*x**3 - 176*x**2 - 170*x - 42 = 0.
-21, -1/2
Factor 2*m**3/3 - 8*m**2/3.
2*m**2*(m - 4)/3
Factor -x**2/7 - 18*x/7 - 17/7.
-(x + 1)*(x + 17)/7
Factor 12*a**5 - 224*a**4 + 1372*a**3 - 2744*a**2.
4*a**2*(a - 7)**2*(3*a - 14)
Factor 3*v**2 + 2211*v/2 - 1107/2.
3*(v + 369)*(2*v - 1)/2
Factor -5*x**3 + 4875*x**2 - 1185840*x - 1190720.
-5*(x - 488)**2*(x + 1)
Solve 4*b**2/7 - 64*b/7 - 92 = 0 for b.
-7, 23
Factor 2*x**2/13 - 348*x/13.
2*x*(x - 174)/13
Suppose 3*i**3/5 - 12*i**2/5 + 9*i/5 = 0. What is i?
0, 1, 3
Suppose -2*f**2 - 600*f + 602 = 0. What is f?
-301, 1
Factor m**3/6 - 7*m**2/6.
m**2*(m - 7)/6
Determine k so that 4*k**5/3 + 4724*k**4/3 + 1401832*k**3/3 + 4177192*k**2/3 + 4167764*k/3 + 1387684/3 = 0.
-589, -1
Factor 4*b**4 + 245*b**3 + 989*b**2 + 1144*b + 228.
(b + 2)**2*(b + 57)*(4*b + 1)
Factor -2*t**5 - 4*t**4 + 6*t**3.
-2*t**3*(t - 1)*(t + 3)
Determine q, given that -q**2 - 32*q - 256 = 0.
-16
Solve -16*n**2/11 + 406*n/11 - 150/11 = 0.
3/8, 25
What is d in -2*d**4/9 + 1000*d**3/9 - 125996*d**2/9 + 83000*d/3 - 13778 = 0?
1, 249
Factor v**5 + 20*v**4 + 69*v**3 + 82*v**2 + 32*v.
v*(v + 1)**2*(v + 2)*(v + 16)
Factor -2*f**3/3 - 8*f**2/3 - 8*f/3.
-2*f*(f + 2)**2/3
Determine u, given that -14*u**4 - 102*u**3 - 224*u**2 - 168*u - 32 = 0.
-4, -2, -1, -2/7
Solve -4*y**2 + 1428*y + 2872 = 0 for y.
-2, 359
Let g**4 + 86*g**3 + 1932*g**2 + 3528*g = 0. What is g?
-42, -2, 0
Find j, given 