v**2*(v + 1)*(v + 19)**2/13
Factor -6*a**2/5 + 36*a/5 - 6.
-6*(a - 5)*(a - 1)/5
Factor 6*u**2 - 69*u/2 + 45/2.
3*(u - 5)*(4*u - 3)/2
Solve r**5 + 104*r**4 - 321*r**3 + 4*r**2 + 428*r = 0.
-107, -1, 0, 2
Factor 3*i**3/4 - 141*i**2 - 567*i/4.
3*i*(i - 189)*(i + 1)/4
Find l, given that l**3/6 + 2301*l**2/2 + 5294601*l/2 + 4060958967/2 = 0.
-2301
Factor j**4 - 19*j**2 - 30*j.
j*(j - 5)*(j + 2)*(j + 3)
What is l in l**4 + 2*l**3 + l**2 = 0?
-1, 0
Factor 3*r**2 - 99*r - 210.
3*(r - 35)*(r + 2)
Factor g**4 - 21*g**3/4 - 51*g**2/4 + 7*g/2.
g*(g - 7)*(g + 2)*(4*g - 1)/4
Find a, given that 2*a**4/3 - 58*a**3/3 - 20*a**2 = 0.
-1, 0, 30
Suppose 2*b**5/17 - 12*b**4/17 - 194*b**3/17 + 1076*b**2/17 - 1752*b/17 + 880/17 = 0. Calculate b.
-10, 1, 2, 11
Factor 2*j**2/11 + 224*j/11 - 3528/11.
2*(j - 14)*(j + 126)/11
Let -a**5/5 - 21*a**4/5 - 19*a**3/5 + 21*a**2/5 + 4*a = 0. What is a?
-20, -1, 0, 1
Factor 289*h**5 + 1598*h**4 + 2668*h**3 + 776*h**2 - 896*h + 128.
(h + 2)**3*(17*h - 4)**2
Find s, given that 4*s**4 + 9*s**3 - 80*s**2 + 117*s - 50 = 0.
-25/4, 1, 2
What is v in -v**3/5 + 23*v**2/5 = 0?
0, 23
Suppose -f**2/6 + 3*f/2 - 4/3 = 0. What is f?
1, 8
Determine p, given that 3*p**2 - 615*p = 0.
0, 205
Factor -4*x**4 + 64*x**3 + 3*x**2 - 47*x - 16.
-(x - 16)*(x - 1)*(2*x + 1)**2
Factor -y**2 - 41*y.
-y*(y + 41)
Factor -j**4 + 11*j**3 + 12*j**2.
-j**2*(j - 12)*(j + 1)
What is m in -m**4 + 2*m**3 + 28*m**2 - 8*m - 96 = 0?
-4, -2, 2, 6
Suppose i**2/4 - 35*i/4 - 9 = 0. Calculate i.
-1, 36
Factor 5*o**3 + 130*o**2 + 845*o + 720.
5*(o + 1)*(o + 9)*(o + 16)
Suppose 16*y**3/7 + 74*y**2/7 + 88*y/7 + 30/7 = 0. Calculate y.
-3, -1, -5/8
Find h, given that -2*h**5 + 2*h**4 + 4*h**3 = 0.
-1, 0, 2
Factor -j**3 - 450*j**2/7 - 128*j/7.
-j*(j + 64)*(7*j + 2)/7
Suppose -4*a**4 - 20*a**3 - 36*a**2 - 28*a - 8 = 0. What is a?
-2, -1
Factor z**4 + 2*z**3 - 15*z**2 + 4*z + 20.
(z - 2)**2*(z + 1)*(z + 5)
Factor 2*n**5 - 29*n**4 + 134*n**3 - 160*n**2 - 200*n + 125.
(n - 5)**3*(n + 1)*(2*n - 1)
Let -2*t**5/5 + 2*t**4 + 34*t**3/5 - 26*t**2/5 - 104*t/5 - 56/5 = 0. Calculate t.
-2, -1, 2, 7
Factor -2*t**2 - 608*t + 1224.
-2*(t - 2)*(t + 306)
Factor -3*q**5 + 9*q**4 - 6*q**3 - 6*q**2 + 9*q - 3.
-3*(q - 1)**4*(q + 1)
Factor 3*z**5/7 + 30*z**4/7 + 39*z**3/7 - 180*z**2/7 + 108*z/7.
3*z*(z - 1)**2*(z + 6)**2/7
Suppose 2*x**4/3 - 8*x**3 = 0. What is x?
0, 12
Determine y so that 2*y**3/7 + 230*y**2/7 = 0.
-115, 0
Factor -2*x**3/15 + 94*x**2/5 - 672*x + 1960/3.
-2*(x - 70)**2*(x - 1)/15
Factor v**2/2 - 5*v/2 - 12.
(v - 8)*(v + 3)/2
Factor 15*c**2 - 24081*c + 9630.
3*(c - 1605)*(5*c - 2)
Factor -2*a**2/13 + 188*a/13 - 4418/13.
-2*(a - 47)**2/13
Factor -2*c**2/7 - 6*c/7 + 36/7.
-2*(c - 3)*(c + 6)/7
Factor -4*w**4 - 92*w**3 - 600*w**2 - 1408*w - 896.
-4*(w + 1)*(w + 4)**2*(w + 14)
Factor -q**3/2 - 23*q**2/2.
-q**2*(q + 23)/2
Factor 35*v**4 - 3510*v**3 + 1000*v**2.
5*v**2*(v - 100)*(7*v - 2)
Factor 4*k**3 - 40*k**2 - 96*k.
4*k*(k - 12)*(k + 2)
Factor -4*v**3 + 12528*v**2 - 13079232*v + 4551572736.
-4*(v - 1044)**3
Let -2*m**3/7 + 554*m**2/21 - 60*m/7 - 368/21 = 0. What is m?
-2/3, 1, 92
Factor 5*g**3 + 675*g**2 + 7560*g + 22140.
5*(g + 6)**2*(g + 123)
Determine l so that 2*l**4/3 - 4*l**3/3 - 104*l**2/3 - 188*l/3 - 30 = 0.
-5, -1, 9
Factor -2*h**4/7 + 6*h**3/7 - 6*h**2/7 + 2*h/7.
-2*h*(h - 1)**3/7
Let -35*k**4/3 + 5*k**3 + 290*k**2/3 + 80*k = 0. What is k?
-2, -1, 0, 24/7
Factor u**4/2 + 5*u**3/2 + u**2/2 - 21*u/2 - 9.
(u - 2)*(u + 1)*(u + 3)**2/2
Factor 25*h**3/4 - 1865*h**2/8 + 2231*h - 1058.
(2*h - 1)*(5*h - 92)**2/8
Let 2*t**2/3 - 23*t/6 - 1 = 0. What is t?
-1/4, 6
Determine v so that 4*v**5 + 20*v**4 = 0.
-5, 0
Factor d**2/8 + d + 2.
(d + 4)**2/8
Determine g, given that -14*g**4/5 - 32*g**3/5 - 8*g**2/5 = 0.
-2, -2/7, 0
Find t such that 2*t**3/5 - 98*t**2/5 + 230*t + 250 = 0.
-1, 25
Factor -f**4 + 89*f**3 - 972*f**2 + 3760*f - 4928.
-(f - 77)*(f - 4)**3
Factor 3*a**2 - 3.
3*(a - 1)*(a + 1)
Factor -2*b**2/5 + 11004*b/5 - 15136002/5.
-2*(b - 2751)**2/5
Suppose -s**4/7 - 8*s**3/7 + s**2/7 + 68*s/7 - 60/7 = 0. Calculate s.
-6, -5, 1, 2
Determine r so that -2*r**3/5 + 8*r**2/5 + 8*r/5 - 32/5 = 0.
-2, 2, 4
Factor 3*u**5 - 9*u**4 - 30*u**3 + 72*u**2.
3*u**2*(u - 4)*(u - 2)*(u + 3)
Factor y**2 + 1697*y.
y*(y + 1697)
Solve 2*r**3 - 4*r**2 - 58*r - 84 = 0 for r.
-3, -2, 7
Let 2*f**4 + 22*f**3 + 18*f**2 - 22*f - 20 = 0. Calculate f.
-10, -1, 1
Find b, given that -2*b**2 - 298*b + 1224 = 0.
-153, 4
Factor 75*l**4 - 10*l**3.
5*l**3*(15*l - 2)
Factor 4*d**4 + 28*d**3 - 80*d**2 - 528*d + 576.
4*(d - 4)*(d - 1)*(d + 6)**2
Factor -2*r**3/5 - 42*r**2/5 + 404*r/5 + 432.
-2*(r - 10)*(r + 4)*(r + 27)/5
Factor 6*b**2/5 - 538*b/5 - 36.
2*(b - 90)*(3*b + 1)/5
Factor -3*u**3/8 - 57*u**2/8 + 33*u - 69/2.
-3*(u - 2)**2*(u + 23)/8
Factor 3*g**3 - 84*g**2 + 411*g - 330.
3*(g - 22)*(g - 5)*(g - 1)
Suppose 2*j**4 - 4*j**3 - 64*j**2 - 60*j + 126 = 0. Calculate j.
-3, 1, 7
Find m such that -9*m**3 + 15*m**2 - 6*m = 0.
0, 2/3, 1
Find x such that -x**4 - 6*x**3 - 9*x**2 + 4*x + 12 = 0.
-3, -2, 1
Let -42*i**5/5 - 48*i**4 + 366*i**3/5 + 3948*i**2/5 + 4896*i/5 - 1728/5 = 0. Calculate i.
-4, -3, 2/7, 4
Find b, given that -b**2/10 + 14*b/5 - 98/5 = 0.
14
Let 2*g**5/3 - 6*g**4 + 62*g**3/3 - 34*g**2 + 80*g/3 - 8 = 0. Calculate g.
1, 2, 3
Suppose -4*x**2/9 - 8*x/3 + 12 = 0. Calculate x.
-9, 3
Determine l so that -4*l**4 - 4*l**3 + 8*l**2 = 0.
-2, 0, 1
Factor d**2/3 + 25*d/3 - 26/3.
(d - 1)*(d + 26)/3
Let -153*f**2/5 - 762*f/5 + 3 = 0. What is f?
-5, 1/51
Solve -5*a**3 + 31665*a**2 - 50117775*a - 50149445 = 0 for a.
-1, 3167
Factor 2*o**4 + 14*o**3 + 36*o**2 + 40*o + 16.
2*(o + 1)*(o + 2)**3
Determine v, given that -v**2/2 + 33*v = 0.
0, 66
What is k in 2*k**4 + 30*k**3 + 168*k**2 + 416*k + 384 = 0?
-4, -3
Let p**3/2 - 3*p**2/2 - 9*p = 0. What is p?
-3, 0, 6
What is g in -3*g**2 - 528*g - 4980 = 0?
-166, -10
Determine o so that -4*o**5 - 4*o**4 + 32*o**3 + 48*o**2 = 0.
-2, 0, 3
What is v in 4*v**3 - 24*v**2 + 36*v - 16 = 0?
1, 4
Factor 3*g**2/4 + 102*g + 1116.
3*(g + 12)*(g + 124)/4
What is g in -g**5/6 + g**4/3 + 5*g**3/6 - g**2 = 0?
-2, 0, 1, 3
Let 2*m**2 - 5948*m + 4422338 = 0. What is m?
1487
Solve -2*f**2/5 + 492*f/5 - 576 = 0 for f.
6, 240
Factor 2*d**4/5 - 14*d**3/5 + 16*d**2/5 + 32*d/5.
2*d*(d - 4)**2*(d + 1)/5
Factor -4*k**2 - 1256*k - 2496.
-4*(k + 2)*(k + 312)
Factor -m**2 + 15*m - 44.
-(m - 11)*(m - 4)
Find f, given that f**3 - 3178*f**2 + 2524921*f = 0.
0, 1589
Determine w, given that 5*w**3 + 3030*w**2 + 612060*w + 41212040 = 0.
-202
Suppose x**4 + 3*x**3/2 - 30*x**2 - 31*x/2 + 15 = 0. Calculate x.
-6, -1, 1/2, 5
Factor v**2 + 10422*v + 27154521.
(v + 5211)**2
Determine m so that -3*m**3/5 - 114*m**2 - 3339*m/5 - 4968/5 = 0.
-184, -3
Factor -4*s**4 + 80*s**3 - 524*s**2 + 1216*s - 768.
-4*(s - 8)**2*(s - 3)*(s - 1)
Determine m, given that -2*m**3/3 - 52*m**2/3 + 24*m + 2160 = 0.
-18, 10
Factor 5*v**3/3 + 140*v**2/3 + 425*v/3 - 2890.
5*(v - 6)*(v + 17)**2/3
Determine a so that a**3/5 - 342*a**2/5 + 38988*a/5 - 1481544/5 = 0.
114
Factor -2*c**2/9 - 176*c/3 - 3872.
-2*(c + 132)**2/9
Determine x, given that 5*x**3 + 45*x**2 + 90*x = 0.
-6, -3, 0
Solve 4*v**5/5 - v**4/5 - 24*v**3/5 - 26*v**2/5 - 4*v/5 + 3/5 = 0 for v.
-1, 1/4, 3
Determine h so that -h**5/7 + 5*h**4/7 + 33*h**3/7 - 11*h**2 + 40*h/7 = 0.
-5, 0, 1, 8
Factor k**2/9 - 2*k/9 - 8/3.
(k - 6)*(k + 4)/9
Suppose -5*q**2 + 7390*q - 7385 = 0. Calculate q.
1, 1477
Solve 4*m**3 - 264*m**2 + 516*m - 256 = 0 for m.
1, 64
Factor w**4 + 10*w**3 - 51*w**2 + 68*w - 28.
(w - 2)*(w - 1)**2*(w + 14)
Suppose -2*g**2/11 - 1484*g/11 + 1486/11 = 0. What is g?
-743, 1
Determine x, given that x**2 - 247*x - 248 = 0.
-1, 248
Factor -x**4/4 + 29*x**3/4 + 127*x**2/4 + 163*x/4 + 33/2.
-(x - 33)*(x + 1)**2*(x + 2)/4
Let 7*f**5/11 - 40*f**4/11 + 4*f**3 + 58*f**2/11 - 51*f/11 - 18/11 = 0. What is f?
-1, -2/7, 1, 3
Factor 4*x**3/9 + 22664*x**2/9.
4*x**2*(x + 5666)/9
What is r in r**4 + 37*r**3 + 279*r**2 + 783*r + 756 = 0?
-28, -3
Find j such that -5*j**5 + 15*j**4 + 35*j**3 - 135*j**2 + 90*j = 0.
-3, 0, 1, 2, 3
Factor -t**3/4 - 7*t**2/2 - 25*t/4 - 3.
-(t + 1)**2*(t + 12)/4
Solve 3*s**4 - 3*s**3 - 3*s**2 + 3*s = 0 for s.
-1, 0, 1
Factor 10*x**3/11 + 194*x**2/11 + 76*x/11.
2*x*(x + 19)*(5*x + 2)/1