 2*n**3 - 4*n**2 - 10*n + 12 = 0. Calculate n.
-2, 1, 3
Find h such that -2*h**5/5 + 14*h**4/3 - 78*h**3/5 + 274*h**2/15 - 16*h/5 - 56/15 = 0.
-1/3, 1, 2, 7
Find v such that 28*v**4 - 8*v**3 - 28*v**2 + 8*v = 0.
-1, 0, 2/7, 1
Solve -y**4/5 - 3*y**3 - 36*y**2/5 = 0.
-12, -3, 0
Let -6*y**3 - 44*y**2/3 - 34*y/3 - 8/3 = 0. What is y?
-1, -4/9
Solve -3*b**5/5 - 57*b**4/5 - 63*b**3 - 591*b**2/5 - 66*b = 0.
-11, -5, -2, -1, 0
Factor 4*m**3 - 32*m**2 - 4*m + 32.
4*(m - 8)*(m - 1)*(m + 1)
Solve -z**3/11 + 27*z**2/11 - 96*z/11 + 92/11 = 0.
2, 23
Factor -4*a**3 - 20*a**2 + 24*a.
-4*a*(a - 1)*(a + 6)
Let 3*t**4 - 7*t**3 - 85*t**2 - 97*t + 42 = 0. What is t?
-3, -2, 1/3, 7
Factor 13*j**3/4 - 46*j**2 + 665*j/4 - 49/2.
(j - 7)**2*(13*j - 2)/4
Suppose -2*k**4/7 + 50*k**3/7 - 468*k**2/7 + 1944*k/7 - 432 = 0. What is k?
6, 7
What is p in p**2/2 - 7*p/2 + 6 = 0?
3, 4
Suppose -2*m**4 - m**3 = 0. What is m?
-1/2, 0
Factor -3*b**4 + 894*b**3 - 64791*b**2 - 269988*b - 273612.
-3*(b - 151)**2*(b + 2)**2
Factor 5*a**4 + 40*a**3 + 105*a**2 + 90*a.
5*a*(a + 2)*(a + 3)**2
Factor -4*g**3 + 396*g**2 - 9996*g + 9604.
-4*(g - 49)**2*(g - 1)
Factor 3*s**2 + 840*s.
3*s*(s + 280)
Solve -2*f**5 + 256*f**4/5 - 1446*f**3/5 - 488*f**2 - 728*f/5 = 0.
-1, -2/5, 0, 13, 14
Factor -5*y**2 + 370*y - 2040.
-5*(y - 68)*(y - 6)
Factor 2*n**3 - 104*n**2 + 1386*n - 5508.
2*(n - 34)*(n - 9)**2
Solve -2*m**5 - 1036*m**4/5 + 1476*m**3/5 + 616*m**2/5 - 1466*m/5 + 84 = 0 for m.
-105, -1, 2/5, 1
Factor -2*p**3 + 20*p**2 + 106*p + 84.
-2*(p - 14)*(p + 1)*(p + 3)
Factor a**4 + 1427*a**3 + 508368*a**2 - 509796*a.
a*(a - 1)*(a + 714)**2
Find z, given that -5*z**2 + 570*z + 575 = 0.
-1, 115
Solve -2*x**2/15 - 28*x/15 + 64/15 = 0 for x.
-16, 2
Suppose n**3/3 + 157*n**2/3 - 106*n = 0. Calculate n.
-159, 0, 2
Let -2*j**2/9 + 4052*j/9 - 2052338/9 = 0. What is j?
1013
Let 15*i**3/2 - 46*i**2/3 + 49*i/6 - 1/3 = 0. Calculate i.
2/45, 1
Find w such that 2*w**5/7 + 46*w**4/7 + 376*w**3/7 + 1280*w**2/7 + 1536*w/7 = 0.
-8, -4, -3, 0
What is c in c**5/5 - c**4 - 2*c**3/5 + 42*c**2/5 - 63*c/5 + 27/5 = 0?
-3, 1, 3
Factor 4*v**5 - 32*v**4 + 20*v**3 + 56*v**2.
4*v**2*(v - 7)*(v - 2)*(v + 1)
Factor -2*n**2/7 + 90*n/7 - 172/7.
-2*(n - 43)*(n - 2)/7
Factor -4*a**4/5 + 44*a**3/5 - 8*a**2.
-4*a**2*(a - 10)*(a - 1)/5
Factor -4*n**3 - 204*n**2 + 4*n + 204.
-4*(n - 1)*(n + 1)*(n + 51)
Factor -2*y**4/5 + 12*y**3/5 - 24*y**2/5 + 16*y/5.
-2*y*(y - 2)**3/5
Factor -3*x**2/5 + 144*x/5 + 147/5.
-3*(x - 49)*(x + 1)/5
Find q such that -3*q**5 + 27*q**4 - 15*q**3 - 75*q**2 + 18*q + 48 = 0.
-1, 1, 2, 8
Suppose -12*l**4/7 - 53*l**3 - 2657*l**2/7 + 3296*l/7 - 256/7 = 0. What is l?
-16, 1/12, 1
Let -5*f**4 + 720*f**3 - 31590*f**2 + 408240*f - 1607445 = 0. What is f?
9, 63
Suppose 2*y**2/7 + 1628*y/7 + 1626/7 = 0. What is y?
-813, -1
Let 12*k**4 + 3*k**3 - 216*k**2 - 81*k + 810 = 0. What is k?
-3, 2, 15/4
Factor 5*o**2/3 - 25*o - 540.
5*(o - 27)*(o + 12)/3
Factor 5*a**4 + 85*a**3 + 75*a**2 - 85*a - 80.
5*(a - 1)*(a + 1)**2*(a + 16)
Factor n**2 - 264*n - 1072.
(n - 268)*(n + 4)
Factor 3*g**2 - 93*g - 198.
3*(g - 33)*(g + 2)
Let i**3 - 14*i**2 + 39*i + 54 = 0. What is i?
-1, 6, 9
Determine k so that -k**3/2 - 2*k**2 + 8*k + 32 = 0.
-4, 4
Suppose -l**4 + 18*l**3 + l**2 - 18*l = 0. Calculate l.
-1, 0, 1, 18
Suppose 9*c**5/2 + 96*c**4 - 1367*c**3/8 + 309*c**2/8 + 231*c/8 + 23/8 = 0. What is c?
-23, -1/6, 1
Let 5*b**4 + 29*b**3 + 34*b**2 - 8*b = 0. Calculate b.
-4, -2, 0, 1/5
Factor -3*q**3 + 9120*q**2 + 18249*q + 9126.
-3*(q - 3042)*(q + 1)**2
Factor 92*h**3/3 - 376*h**2/3 + 308*h/3 - 8.
4*(h - 3)*(h - 1)*(23*h - 2)/3
Suppose -12*o**5 - 117*o**4 - 306*o**3 - 204*o**2 + 72*o = 0. What is o?
-6, -2, 0, 1/4
Find y, given that 8*y**3/7 + 450*y**2 - 7124*y/7 + 1584/7 = 0.
-396, 1/4, 2
Let -l**3/4 - 3*l**2/4 - l/2 = 0. Calculate l.
-2, -1, 0
Factor -i**5 - 2*i**4 + 4*i**3 + 2*i**2 - 3*i.
-i*(i - 1)**2*(i + 1)*(i + 3)
Factor b**4/9 + 7*b**3/9 + 14*b**2/9 + 8*b/9.
b*(b + 1)*(b + 2)*(b + 4)/9
Solve -l**4/3 + 10*l**3 - 36*l**2 + 104*l/3 = 0.
0, 2, 26
Suppose 2*t**3 - 492*t**2 + 40344*t - 1102736 = 0. What is t?
82
Find n, given that 3*n**5/4 - 13*n**4/4 + n**3/2 + 2*n**2 = 0.
-2/3, 0, 1, 4
Let 2*y**5 - 14*y**4 - 20*y**3 + 32*y**2 = 0. Calculate y.
-2, 0, 1, 8
Factor -4*o**2/3 - 400*o/3 - 132.
-4*(o + 1)*(o + 99)/3
Factor 3*k**3/5 - 63*k**2/5 + 114*k/5.
3*k*(k - 19)*(k - 2)/5
Factor 484*w**5/5 - 5632*w**4/5 + 21136*w**3/5 - 4544*w**2 - 10496*w/5 - 1024/5.
4*(w - 4)**3*(11*w + 2)**2/5
Find n, given that n**3 - 8826*n**2 + 25966092*n - 25464080888 = 0.
2942
Determine l so that 2*l**2 - 30*l - 368 = 0.
-8, 23
Let -2*v**2/5 + 64*v/5 + 136/5 = 0. What is v?
-2, 34
Factor 4*t**2 - 29*t/2 + 15/2.
(t - 3)*(8*t - 5)/2
What is g in -3*g**5 + 36*g**4/7 + 264*g**3/7 + 366*g**2/7 + 27*g + 30/7 = 0?
-1, -2/7, 5
What is c in -9*c**4 + 66*c**3 + 465*c**2 + 486*c - 216 = 0?
-3, -2, 1/3, 12
Factor -4*o**4/3 - 8*o**3/3 + 16*o**2/3 + 32*o/3.
-4*o*(o - 2)*(o + 2)**2/3
Factor 2*w**2 + 396*w + 784.
2*(w + 2)*(w + 196)
Factor 3*x**3/5 - 309*x**2/5 + 306*x/5.
3*x*(x - 102)*(x - 1)/5
Factor -2*c**3/19 - 22*c**2/19 + 50*c/19 - 26/19.
-2*(c - 1)**2*(c + 13)/19
Solve -2*h**5/5 - 6*h**4 - 14*h**3/5 + 726*h**2/5 - 256*h + 120 = 0.
-10, 1, 3
Factor -2*h**3 - 50*h**2 + 546*h + 594.
-2*(h - 9)*(h + 1)*(h + 33)
Find j such that -j**3 + 19*j**2 - 99*j + 81 = 0.
1, 9
Solve 12*h**3 - 1636*h**2 + 2144*h + 2160 = 0 for h.
-2/3, 2, 135
Factor -54*f**3 - 104*f**2 + 440*f - 32.
-2*(f - 2)*(f + 4)*(27*f - 2)
Factor k**2/2 - 5*k.
k*(k - 10)/2
What is q in -q**2/8 + q + 209/8 = 0?
-11, 19
Determine q, given that 2*q**2 + 392*q + 390 = 0.
-195, -1
Let -3*c**2 - 27*c - 54 = 0. Calculate c.
-6, -3
Find p such that -3*p**3 + 243*p**2 - 1152*p + 912 = 0.
1, 4, 76
Let v**4 + 4950*v**3 + 6130573*v**2 + 12246300*v + 6120676 = 0. Calculate v.
-2474, -1
What is b in 2*b**2/13 + 16*b/13 + 24/13 = 0?
-6, -2
Solve 3*f**3/4 + 379*f**2/4 + 12033*f/4 + 3969/4 = 0 for f.
-63, -1/3
Factor 50*h**3 - 11370*h**2 + 4542*h - 454.
2*(h - 227)*(5*h - 1)**2
Factor 3*g**4/4 + 27*g**3/4 + 69*g**2/4 + 9*g/4 - 27.
3*(g - 1)*(g + 3)**2*(g + 4)/4
Factor -3*k**2 + 102*k - 192.
-3*(k - 32)*(k - 2)
Solve -3*f**2 + 4419*f + 4422 = 0.
-1, 1474
Solve 3*z**5 + 174*z**4 + 3243*z**3 + 16980*z**2 - 44400*z + 24000 = 0.
-20, 1
Let -2*o**4/5 - 572*o**3/5 - 55272*o**2/5 - 1873232*o/5 - 6644672/5 = 0. What is o?
-94, -4
Solve 2*a**4/3 + 4*a**3/3 - 4*a/3 - 2/3 = 0.
-1, 1
Factor 1705280*w**2 - 17520*w + 45.
5*(584*w - 3)**2
Factor 4*y**3 + 24*y**2 - 64*y.
4*y*(y - 2)*(y + 8)
Determine l, given that l**2/2 + 168*l + 14112 = 0.
-168
Find f, given that f**5 + 15*f**4 - 60*f**3 - 80*f**2 + 480*f - 432 = 0.
-18, -3, 2
Let 4*g**3 - 936*g**2 + 73008*g - 1898208 = 0. Calculate g.
78
Factor 6*r**3/5 + 9*r**2/5 - 54*r/5 + 24/5.
3*(r - 2)*(r + 4)*(2*r - 1)/5
Let 4*m**2 + 220*m + 624 = 0. What is m?
-52, -3
What is h in -4*h**2/5 - 14*h - 34/5 = 0?
-17, -1/2
Factor 2*k**4 + 56*k**3 + 156*k**2 + 152*k + 50.
2*(k + 1)**3*(k + 25)
Factor -2*x**3 - 4*x**2 - 2*x.
-2*x*(x + 1)**2
Solve f**4/2 - 33*f**3/2 + 197*f**2/2 - 399*f/2 + 117 = 0.
1, 3, 26
Factor -2*u**2/9 + 136*u/9 - 2312/9.
-2*(u - 34)**2/9
Factor 16*n**2 - 48*n + 36.
4*(2*n - 3)**2
Determine s so that 18*s**5 + 60*s**4 + 74*s**3 + 40*s**2 + 8*s = 0.
-1, -2/3, 0
Determine f, given that 2*f**5/5 + 2*f**4/5 - 22*f**3/5 + 14*f**2/5 + 4*f - 16/5 = 0.
-4, -1, 1, 2
Factor 3*i**3/5 + 9*i**2 + 114*i/5 + 72/5.
3*(i + 1)*(i + 2)*(i + 12)/5
Factor -n**3 + 95*n**2 - 94*n.
-n*(n - 94)*(n - 1)
Determine n so that n**2/4 - 151*n/4 + 75/2 = 0.
1, 150
Suppose 5*o**4 + 15*o**3 - 60*o**2 - 100*o + 240 = 0. What is o?
-4, -3, 2
Factor -3*m**2 - 51*m + 180.
-3*(m - 3)*(m + 20)
Find q, given that 4*q**3 - 116*q**2 = 0.
0, 29
What is c in -c**3 + 50*c**2 - 49*c = 0?
0, 1, 49
Factor -3*j**4 - 27*j**3 - 66*j**2 + 96.
-3*(j - 1)*(j + 2)*(j + 4)**2
Find r, given that 39*r**2/4 - 123*r/4 + 9/2 = 0.
2/13, 3
Let -4*b**4 - 8*b**3 - 4*b**2 = 0. What is b?
-1, 0
Suppose 5*c**2/2 - 1015*c/2 + 9555 = 0. Calculate c.
21, 182
Let 3*w**5 + 27*w**4 + 72*w**3 + 60*w**2 = 0. Calculate w.
-5, -2, 0
Solve -3*h**3/2 - 195*h**2/2 - 3069*h/2 + 3267/2 = 0 for h.
-33, 1
Factor -l**4 - 19*l**3 - 99*l**2 - 81*l.
-l*(l + 1)*(l + 9)**2
Find b, given that