 1)*(v + 12)/3
Factor a**2/3 + 2951*a/3 + 2950/3.
(a + 1)*(a + 2950)/3
Suppose 2*d**3 - 38*d**2 - 2152*d - 2112 = 0. What is d?
-24, -1, 44
Find d such that 8*d**2 - 58*d/5 - 66/5 = 0.
-3/4, 11/5
Solve 2*m**5/3 + 26*m**4/3 + 74*m**3/3 - 70*m**2 - 300*m = 0 for m.
-6, -5, 0, 3
Suppose -4*q**2/7 + 52*q + 368/7 = 0. What is q?
-1, 92
Suppose 21*h**3 + 216*h**2 + 585*h + 150 = 0. Calculate h.
-5, -2/7
Let 3*u**2 - 21*u - 54 = 0. What is u?
-2, 9
Factor 2*h**2/9 - 10*h/9 + 8/9.
2*(h - 4)*(h - 1)/9
Find r, given that -5*r**5/2 + 15*r**4 - 65*r**3/2 + 30*r**2 - 10*r = 0.
0, 1, 2
Determine n, given that -20*n**3 - 20605*n**2 - 25730*n - 5145 = 0.
-1029, -1, -1/4
Factor -4*b**3 + 182*b**2 + 186*b.
-2*b*(b + 1)*(2*b - 93)
Determine z so that -36*z**4/5 - 84*z**3/5 - 5*z**2 - 2*z/5 = 0.
-2, -1/6, 0
Factor -k**3/5 - 25*k**2 - 122*k/5 + 248/5.
-(k - 1)*(k + 2)*(k + 124)/5
Suppose -108*g**3 + 2584*g**2 + 192*g = 0. What is g?
-2/27, 0, 24
Factor -3*u**2/7 - 165*u/7 + 24.
-3*(u - 1)*(u + 56)/7
Solve -5*k**2 + 40*k + 240 = 0 for k.
-4, 12
Factor 2*s**3/9 + 26*s**2/9 - 70*s/3 + 38.
2*(s - 3)**2*(s + 19)/9
Determine o so that -21*o**4/5 - 48*o**3/5 + 828*o**2/5 - 1104*o/5 - 384/5 = 0.
-8, -2/7, 2, 4
Factor 4*n**2/7 + 14032*n/7 + 12306064/7.
4*(n + 1754)**2/7
Find k such that 42*k**5/11 + 502*k**4/11 + 1484*k**3/11 - 120*k**2/11 - 144*k/11 = 0.
-6, -2/7, 0, 1/3
Suppose -w**3/3 + 46*w**2 + 93*w + 140/3 = 0. What is w?
-1, 140
Factor 4*m**4 - 2148*m**3 - 8636*m**2 - 10812*m - 4328.
4*(m - 541)*(m + 1)**2*(m + 2)
Find j such that 4*j**3 + 2624*j**2 + 5220*j - 7848 = 0.
-654, -3, 1
Factor -u**2/2 - 97*u/2.
-u*(u + 97)/2
Factor q**4/8 + 7*q**3/4 - 49*q**2/8 + 17*q/4.
q*(q - 2)*(q - 1)*(q + 17)/8
What is j in 49*j**5 - 217*j**4 + 256*j**3 + 8*j**2 - 80*j - 16 = 0?
-2/7, 1, 2
Factor s**2/2 - 33*s/2 + 16.
(s - 32)*(s - 1)/2
Let z**4/3 - 10*z**3 + 56*z**2/3 = 0. What is z?
0, 2, 28
Factor -20*m**2 - 1488*m - 592.
-4*(m + 74)*(5*m + 2)
Factor -3*h**3/2 - 141*h**2/2 + 291*h/2 - 147/2.
-3*(h - 1)**2*(h + 49)/2
Let -v**4/3 + 20*v**3 + 61*v**2/3 = 0. What is v?
-1, 0, 61
Find h, given that 4*h**5/3 - 64*h**4/3 + 116*h**3/3 - 56*h**2/3 = 0.
0, 1, 14
Suppose z**4 + 11*z**3/2 + 9*z**2 + 9*z/2 = 0. What is z?
-3, -3/2, -1, 0
Factor -r**3/3 + 5*r**2 - 500/3.
-(r - 10)**2*(r + 5)/3
Determine t, given that t**3/2 - 17*t**2 + 289*t/2 = 0.
0, 17
Determine i, given that 2*i**3/11 - 46*i**2/11 + 4*i = 0.
0, 1, 22
Factor -4*h**4/7 - 16*h**3/7 - 20*h**2/7 - 8*h/7.
-4*h*(h + 1)**2*(h + 2)/7
Factor -2*h**5/3 - 554*h**4/3 + 556*h**3/3.
-2*h**3*(h - 1)*(h + 278)/3
Factor -y**2/2 + 3175*y - 10080625/2.
-(y - 3175)**2/2
Suppose -4*k**2 + 80*k - 76 = 0. What is k?
1, 19
Factor -a**2/5 + 1862*a/5 - 5577/5.
-(a - 1859)*(a - 3)/5
Solve 2*s**4/11 + 6*s**3/11 + 2*s**2/11 - 6*s/11 - 4/11 = 0 for s.
-2, -1, 1
Factor -2*v**4/9 + 22*v**3/9 - 70*v**2/9 + 50*v/9.
-2*v*(v - 5)**2*(v - 1)/9
Determine s so that -4*s**2 + 16*s = 0.
0, 4
Determine w, given that 6*w**5/5 + 966*w**4/5 + 1908*w**3/5 - 12*w**2/5 - 1914*w/5 - 954/5 = 0.
-159, -1, 1
Factor -2*g**3 + 24*g**2 - 42*g + 20.
-2*(g - 10)*(g - 1)**2
Factor -4*z**3 - 561*z**2 - 135*z + 700.
-(z - 1)*(z + 140)*(4*z + 5)
Factor 4*w**2 + 56*w + 180.
4*(w + 5)*(w + 9)
What is j in -35*j**2/4 + 325*j/4 - 45/2 = 0?
2/7, 9
Find i, given that -21*i**5 - 36*i**4 + 285*i**3 - 288*i**2 + 60*i = 0.
-5, 0, 2/7, 1, 2
Solve -5*j**2 + 1230*j - 75645 = 0 for j.
123
Factor 3*m**4 + 612*m**3 + 31212*m**2.
3*m**2*(m + 102)**2
Factor 12*n**3 - 292*n**2 + 872*n - 672.
4*(n - 21)*(n - 2)*(3*n - 4)
Factor -l**2/4 + 1367*l/4 + 342.
-(l - 1368)*(l + 1)/4
What is d in d**4 + 370*d**3 - 3*d**2 - 1108*d + 740 = 0?
-370, -2, 1
Find v such that 12*v**4/7 + 418*v**3/7 - 946*v**2/7 + 590*v/7 - 74/7 = 0.
-37, 1/6, 1
Solve -o**2/8 + 851*o/8 + 213/2 = 0.
-1, 852
Factor 4*v**2 - 64*v.
4*v*(v - 16)
Factor -5*w**4 + 65*w**3 - 60*w**2 - 1280*w + 1280.
-5*(w - 8)**2*(w - 1)*(w + 4)
Factor d**2/3 - 11*d/3 + 6.
(d - 9)*(d - 2)/3
Factor 3*x**2 + 840*x + 4125.
3*(x + 5)*(x + 275)
Solve 3*s**2/7 + 18*s - 405/7 = 0.
-45, 3
Factor -k**5/3 - 3*k**4 + 7*k**3 - 11*k**2/3.
-k**2*(k - 1)**2*(k + 11)/3
Solve -4*a**4 - 920*a**3 - 53808*a**2 - 103968*a = 0 for a.
-114, -2, 0
Factor -4*d**4 + 48*d**3 - 84*d**2 - 760*d + 2400.
-4*(d - 6)*(d - 5)**2*(d + 4)
Find a, given that -6*a**4/7 - 62*a**3/7 - 100*a**2/7 + 312*a/7 - 144/7 = 0.
-6, 2/3, 1
Suppose q**4/2 + 3*q**3 - 4*q**2 - 3*q + 7/2 = 0. What is q?
-7, -1, 1
Determine h so that 2*h**2/17 + 18*h/17 - 2480/17 = 0.
-40, 31
Factor 2*l**4 + 38*l**3 + 160*l**2 - 200*l.
2*l*(l - 1)*(l + 10)**2
Factor m**3/2 + 174*m**2 + 14784*m - 61952.
(m - 4)*(m + 176)**2/2
Suppose 4*u**2/5 + 484*u/5 + 96 = 0. Calculate u.
-120, -1
Determine s, given that -5*s**3/4 + 2275*s**2/4 - 64410*s - 64980 = 0.
-1, 228
Determine l so that -l**3/3 - 298*l**2/3 - 99*l = 0.
-297, -1, 0
Let 3*c**5 - 18*c**4 - 108*c**3 - 120*c**2 = 0. What is c?
-2, 0, 10
Factor u**4 - u**3 - 17*u**2 - 15*u.
u*(u - 5)*(u + 1)*(u + 3)
Factor 2*i**4/5 - 46*i**3/5 + 54*i**2 + 486*i/5 - 5832/5.
2*(i - 9)**3*(i + 4)/5
Solve c**3/5 - 86*c**2/5 + 1564*c/5 + 12696/5 = 0.
-6, 46
Factor -p**3/5 + 77*p**2/5.
-p**2*(p - 77)/5
Factor u**3/5 + 4*u**2 + 93*u/5 + 126/5.
(u + 3)**2*(u + 14)/5
Let -2*d**3/5 - 86*d**2 = 0. What is d?
-215, 0
Let -5*t**5/2 - 11*t**4/2 + 33*t**3/2 + 47*t**2/2 - 26*t - 6 = 0. Calculate t.
-3, -2, -1/5, 1, 2
What is v in 3*v**2 - 1455*v/4 + 363/4 = 0?
1/4, 121
Factor -6*t**3 + 711*t**2 - 3099*t + 2394.
-3*(t - 114)*(t - 1)*(2*t - 7)
What is i in 7*i**3/3 + 233*i**2/3 + 290*i/3 + 64/3 = 0?
-32, -1, -2/7
Factor -4*l**2 + 1460*l.
-4*l*(l - 365)
Suppose 5*x**3 + 75*x**2 + 70*x = 0. What is x?
-14, -1, 0
Determine j, given that 5*j**3 - 80*j**2 - 25*j + 1500 = 0.
-4, 5, 15
Let -2*g**2 - 282*g - 2376 = 0. What is g?
-132, -9
Factor -5*x**2 - 80*x - 195.
-5*(x + 3)*(x + 13)
Suppose -r**5 + 8*r**4 - 20*r**3 + 10*r**2 + 21*r - 18 = 0. Calculate r.
-1, 1, 2, 3
Let -s**3 - 3*s**2 + 4*s + 12 = 0. Calculate s.
-3, -2, 2
Suppose 3*i**3 - 51*i**2 + 168*i - 156 = 0. What is i?
2, 13
Factor w**3 + 30*w**2 + 153*w + 216.
(w + 3)**2*(w + 24)
Suppose 16*a**5 + 2712*a**4 + 114241*a**3 - 57630*a**2 + 7225*a = 0. What is a?
-85, 0, 1/4
Suppose r**4/7 + 20*r**3/7 + 148*r**2/7 + 480*r/7 + 576/7 = 0. Calculate r.
-6, -4
Suppose x**5 - 22*x**4 - 2*x**3 + 44*x**2 + x - 22 = 0. Calculate x.
-1, 1, 22
Let -2*w**2/19 - 3150*w/19 - 3148/19 = 0. Calculate w.
-1574, -1
Find j, given that -2*j**4 - 28*j**3 - 70*j**2 - 44*j = 0.
-11, -2, -1, 0
Factor -t**3/3 - 12*t**2 + 37*t/3.
-t*(t - 1)*(t + 37)/3
Let 3*q**4/7 + 123*q**3/7 - 18*q**2 = 0. What is q?
-42, 0, 1
Solve -q**3 - 76*q**2 - 1892*q - 15488 = 0 for q.
-32, -22
Factor -o**4/2 - 43*o**3 + 44*o**2 + 43*o - 87/2.
-(o - 1)**2*(o + 1)*(o + 87)/2
Solve 2*c**4 - 44*c**3 + 226*c**2 - 208*c - 480 = 0.
-1, 4, 15
Suppose 4*b**2 + 120*b - 124 = 0. What is b?
-31, 1
Suppose -4*l**5 + 70*l**4 - 98*l**3 + 32*l**2 = 0. Calculate l.
0, 1/2, 1, 16
Solve -2*o**2/7 - 3168*o/7 = 0 for o.
-1584, 0
Factor 20*g**2/7 + 116*g/7.
4*g*(5*g + 29)/7
Factor -2*q**2/13 + 10*q + 132/13.
-2*(q - 66)*(q + 1)/13
Solve s**4/9 - 43*s**2/9 - 14*s/3 = 0.
-6, -1, 0, 7
What is n in n**5 + 54*n**4 - 55*n**3 = 0?
-55, 0, 1
Factor 2*m**2/13 - 222*m/13 + 5056/13.
2*(m - 79)*(m - 32)/13
Factor 3*r**3 + 663*r**2 + 36960*r + 36300.
3*(r + 1)*(r + 110)**2
What is x in 3*x**4 - 1068*x**3 + 98202*x**2 - 560700*x + 826875 = 0?
3, 175
Let -9*g**4/4 + 43*g**3/4 + 163*g**2/4 - 155*g/4 - 21/2 = 0. What is g?
-3, -2/9, 1, 7
What is m in 3*m**3 + 303*m**2 - 312*m - 612 = 0?
-102, -1, 2
Factor q**2/2 + 71*q/2 + 69.
(q + 2)*(q + 69)/2
Suppose 2*z**5 + 21*z**4 - 35*z**3 + 12*z**2 = 0. What is z?
-12, 0, 1/2, 1
Factor w**2 - 10*w.
w*(w - 10)
Factor -4*i**4 + 8*i**2 - 4.
-4*(i - 1)**2*(i + 1)**2
Factor -9*a**4/4 - 11*a**3/4 + 13*a**2 + 3*a.
-a*(a - 2)*(a + 3)*(9*a + 2)/4
Factor b**4 - 2*b**2 + 1.
(b - 1)**2*(b + 1)**2
Factor 18*c**4/13 - 240*c**3/13 + 800*c**2/13.
2*c**2*(3*c - 20)**2/13
Factor -2*f**5/9 - 2*f**4/9 + 4*f**3 + 104*f**2/9 + 80*f/9.
-2*f*(f - 5)*(f + 2)**3/9
Determine s so that -3*s**2/4 - 93*s - 183 = 0.
-122, -2
Factor -2*d**2 + 80*d - 462.
-2*(d - 33)*(d - 7)
Determine i so that -2*i**2/9 + 2*i/9 + 4/3 = 0.
-2, 3
Solve -2*