
Solve -3*x**5/2 + 402*x**4 - 783*x**3/2 - 2409*x**2 + 1590*x + 3204 = 0 for x.
-2, -1, 2, 267
Factor -w**2 + 226*w - 12769.
-(w - 113)**2
Factor -k**5 + 20*k**4 + k**3 - 20*k**2.
-k**2*(k - 20)*(k - 1)*(k + 1)
Factor 30*h**4 + 5*h**3 - 30*h**2 - 5*h.
5*h*(h - 1)*(h + 1)*(6*h + 1)
Factor -12*m**3 + 2024*m**2 - 3348*m + 1336.
-4*(m - 167)*(m - 1)*(3*m - 2)
Suppose 10*y**5 - 84*y**4 + 212*y**3 - 72*y**2 - 270*y + 108 = 0. What is y?
-1, 2/5, 3
Factor -33*h**3 + 1713*h**2 - 22152*h - 2028.
-3*(h - 26)**2*(11*h + 1)
Let -2*x**4 - 88*x**3 - 746*x**2 - 660*x = 0. What is x?
-33, -10, -1, 0
Factor 2*s**4/5 + 2*s**3/5 - 2*s**2/5 - 2*s/5.
2*s*(s - 1)*(s + 1)**2/5
Factor -2*l**2/5 - 9*l/5 - 4/5.
-(l + 4)*(2*l + 1)/5
Find l, given that 2*l**2/5 - 8*l + 38/5 = 0.
1, 19
Factor -2*l**3/5 - 2*l**2/5 + 4*l - 16/5.
-2*(l - 2)*(l - 1)*(l + 4)/5
Factor -s**2/8 + 811*s/2 - 657721/2.
-(s - 1622)**2/8
Find q such that -2*q**3/17 + 24*q**2/17 - 90*q/17 + 108/17 = 0.
3, 6
Factor -2*j**2/3 + 160*j - 2350/3.
-2*(j - 235)*(j - 5)/3
Determine y so that -3*y**4/8 + 285*y**3/8 - 7839*y**2/8 + 47343*y/8 + 27735/4 = 0.
-1, 10, 43
Find c, given that -6*c**5 + 3*c**4 + 9*c**3 - 3*c**2 - 3*c = 0.
-1, -1/2, 0, 1
Solve -210*s**3 - 88*s**2 + 142*s + 20 = 0 for s.
-1, -2/15, 5/7
Factor -5*f**3 - 105*f**2 - 600*f - 500.
-5*(f + 1)*(f + 10)**2
Find v such that 2*v**4/3 - 26*v**3/3 + 46*v**2/3 - 22*v/3 = 0.
0, 1, 11
Let -5*b**4/2 + 50*b**3 - 355*b**2 + 1050*b - 2205/2 = 0. What is b?
3, 7
What is f in 5*f**2 + 20*f - 160 = 0?
-8, 4
Factor 8*r**3/3 + 23*r**2/3 + 22*r/3 + 7/3.
(r + 1)**2*(8*r + 7)/3
Let -2*x**4/7 + 4*x**3/7 + 30*x**2/7 - 64*x/7 + 32/7 = 0. What is x?
-4, 1, 4
Factor 3*b**4/4 + 39*b**3/4 - 3*b**2/4 - 39*b/4.
3*b*(b - 1)*(b + 1)*(b + 13)/4
Find j such that 27*j**4 + 639*j**3 + 1011*j**2 + 465*j + 66 = 0.
-22, -1, -1/3
Let -j**5 + 16*j**4 - 53*j**3 + 62*j**2 - 24*j = 0. What is j?
0, 1, 2, 12
Suppose -4*j**5 + 24*j**4 + 8*j**3 - 48*j**2 - 4*j + 24 = 0. What is j?
-1, 1, 6
Let -14*a**4/11 + 32*a**3/11 - 2*a**2 + 4*a/11 = 0. What is a?
0, 2/7, 1
Factor 2*j**5 - j**4 - 3*j**3 + j**2 + j.
j*(j - 1)**2*(j + 1)*(2*j + 1)
Suppose -2*j**2/11 - 28*j - 1078 = 0. Calculate j.
-77
Factor -5*y**2 + 4570*y + 4575.
-5*(y - 915)*(y + 1)
Find i such that 5*i**2 - 255*i + 250 = 0.
1, 50
Factor -h**2/3 + 80*h/3 - 1600/3.
-(h - 40)**2/3
Factor 2*y**5/3 + 4*y**4/3.
2*y**4*(y + 2)/3
Factor 225625*t**2 - 2850*t + 9.
(475*t - 3)**2
Suppose 2*l**2/7 + 424*l/7 + 22472/7 = 0. What is l?
-106
Suppose 4*l**4 + 128*l**3 - 420*l**2 + 16*l + 560 = 0. What is l?
-35, -1, 2
Factor 3*s**3 - 42*s**2 - 408*s + 960.
3*(s - 20)*(s - 2)*(s + 8)
Factor -t**3 - 22*t**2 - 41*t - 20.
-(t + 1)**2*(t + 20)
Factor -f**2/2 + 63*f/2 - 145.
-(f - 58)*(f - 5)/2
Solve -q**4/2 + 25*q**3 - 44*q**2 - 192*q = 0 for q.
-2, 0, 4, 48
Let -d**2/5 + d/5 + 6 = 0. What is d?
-5, 6
Find c such that 2*c**2 + 334*c + 660 = 0.
-165, -2
What is l in 25*l**3 + 1895*l**2 - 4280*l + 780 = 0?
-78, 1/5, 2
Suppose -5*i**3 - 90*i**2 - 300*i - 280 = 0. What is i?
-14, -2
Solve 21*d**5/5 + 3417*d**4/5 + 9144*d**3/5 + 3828*d**2/5 - 384*d = 0.
-160, -2, -1, 0, 2/7
Find k such that 3*k**3 - 480*k**2 + 948*k = 0.
0, 2, 158
Let 5*r**5 - 30*r**3 + 40*r**2 - 15*r = 0. What is r?
-3, 0, 1
Determine s, given that 6*s**5 + 75*s**4 - 42*s**3 - 903*s**2 + 432*s + 432 = 0.
-12, -4, -1/2, 1, 3
What is k in k**5/6 - k**4/3 - k**3/6 + k**2/3 = 0?
-1, 0, 1, 2
Factor d**2/5 + 51*d/5 - 44.
(d - 4)*(d + 55)/5
Factor -5*i**2/4 - 140*i - 795.
-5*(i + 6)*(i + 106)/4
What is v in -4*v**3 - 4612*v**2 - 1322464*v + 4009008 = 0?
-578, 3
Factor a**4/6 + 7*a**3/6 - 5*a**2/3 - 8*a/3.
a*(a - 2)*(a + 1)*(a + 8)/6
Solve 4*w**5 - 96*w**4 + 412*w**3 - 624*w**2 + 304*w = 0 for w.
0, 1, 2, 19
Find x, given that -3*x**2 + 135*x + 138 = 0.
-1, 46
Factor -15*o**3 + 40*o**2 - 20*o.
-5*o*(o - 2)*(3*o - 2)
Factor -2*c**3/3 + 76*c**2/3 - 394*c/3 + 320/3.
-2*(c - 32)*(c - 5)*(c - 1)/3
Factor -2*q**3/11 + 32*q**2/11.
-2*q**2*(q - 16)/11
Factor 4*n**2/7 - 32*n/7 + 4.
4*(n - 7)*(n - 1)/7
Find m such that m**5/9 + 2*m**4/9 - 19*m**3/9 + 28*m**2/9 - 4*m/3 = 0.
-6, 0, 1, 2
Suppose 4*f**5 + 96*f**4 - 100*f**3 = 0. What is f?
-25, 0, 1
Determine n so that 2*n**5/5 + 18*n**4/5 + 18*n**3/5 - 98*n**2/5 + 12*n = 0.
-6, -5, 0, 1
Factor k**4/2 - 6*k**3 - 3*k**2/2 + 19*k - 12.
(k - 12)*(k - 1)**2*(k + 2)/2
Factor -o**2 - 184*o - 8464.
-(o + 92)**2
Find j such that j**2 + 4*j - 12 = 0.
-6, 2
Factor -2*w**4/7 - 290*w**3/7 + 1788*w**2/7 - 3608*w/7 + 2416/7.
-2*(w - 2)**3*(w + 151)/7
Factor 3*f**3/2 + 63*f**2/2 + 84*f + 54.
3*(f + 1)*(f + 2)*(f + 18)/2
Suppose -3*n**2/5 + 222*n/5 = 0. What is n?
0, 74
Suppose -21*d**3 + 2589*d**2 + 7200*d - 2268 = 0. Calculate d.
-3, 2/7, 126
Determine q, given that -4*q**4 + 48*q**3 - 180*q**2 + 200*q = 0.
0, 2, 5
Factor 4*b**5 - 80*b**4 + 576*b**3 - 1728*b**2 + 1728*b.
4*b*(b - 6)**3*(b - 2)
Factor -4*g**3/3 - 4*g**2 + 4*g/3 + 4.
-4*(g - 1)*(g + 1)*(g + 3)/3
Solve -p**2 + 145*p - 286 = 0 for p.
2, 143
Solve -3*g**2 + 153*g = 0 for g.
0, 51
Factor p**3/2 - 11*p**2 - 35*p/2 + 138.
(p - 23)*(p - 3)*(p + 4)/2
Suppose -v**3/3 - 8*v**2 - 55*v - 242/3 = 0. What is v?
-11, -2
Let -5*q**5 - 1780*q**4 - 158405*q**3 + 5330*q**2 + 471700*q - 316840 = 0. What is q?
-178, -2, 1
Factor 3*j**2 + 9234*j + 7105563.
3*(j + 1539)**2
Let -8*f**3/15 - 18*f**2/5 - 20*f/3 - 16/5 = 0. What is f?
-4, -2, -3/4
Factor x**4/4 - 3*x**3/2 - 3*x**2/4 + 14*x - 12.
(x - 4)**2*(x - 1)*(x + 3)/4
Find h such that -h**4/4 + 15*h**3/2 - 193*h**2/4 - 120*h - 64 = 0.
-1, 16
Factor 3*j**4 - 42*j**3 - 684*j**2 - 1080*j + 5184.
3*(j - 24)*(j - 2)*(j + 6)**2
Find k such that 4*k**5 + 108*k**4 + 504*k**3 - 3800*k**2 - 8700*k - 4500 = 0.
-15, -1, 5
Find v such that v**2 + 20*v - 44 = 0.
-22, 2
Find j, given that -49284*j**2 + 1776*j - 16 = 0.
2/111
Factor 4*t**2 - 7024*t + 3083536.
4*(t - 878)**2
Suppose -h**4/7 + 11*h**3/7 - 33*h**2/7 + 5*h/7 + 50/7 = 0. What is h?
-1, 2, 5
Suppose p**4/2 - 5*p**3/3 - 157*p**2/6 + 410*p/3 - 400/3 = 0. Calculate p.
-8, 4/3, 5
Find c such that 4*c**4 - 864*c**3 + 45784*c**2 + 94176*c + 47524 = 0.
-1, 109
Suppose -3*w**3/4 - 15*w**2/2 + 72*w = 0. Calculate w.
-16, 0, 6
What is a in -2*a**4 - 16*a**3 - 36*a**2 + 54 = 0?
-3, 1
Factor h**4/2 - 7*h**3 - 87*h**2/2 - 74*h - 38.
(h - 19)*(h + 1)*(h + 2)**2/2
Solve -3*h**4/5 + 42*h**3/5 - 219*h**2/5 + 504*h/5 - 432/5 = 0 for h.
3, 4
Suppose -a**3/5 + 4*a**2/5 + 9*a/5 - 36/5 = 0. What is a?
-3, 3, 4
Find z, given that -3*z**2 - 480*z - 19200 = 0.
-80
Factor 2*c**2/11 - 710*c/11 + 192.
2*(c - 352)*(c - 3)/11
Factor 5*q**4 - 30*q**3 - 35*q**2.
5*q**2*(q - 7)*(q + 1)
Factor 2*d**3/9 + 118*d**2/9.
2*d**2*(d + 59)/9
Factor 12*l**3 - 51*l**2 + 48*l - 9.
3*(l - 3)*(l - 1)*(4*l - 1)
Factor -3*p**2/2 + 153*p - 303/2.
-3*(p - 101)*(p - 1)/2
Solve 2*c**4/3 + 80*c**3/3 - 166*c**2/3 + 28*c = 0.
-42, 0, 1
Determine l, given that -l**3/2 - 9*l**2/8 - 3*l/4 - 1/8 = 0.
-1, -1/4
Determine l, given that 2*l**3/7 + 198*l**2/7 - 200*l/7 = 0.
-100, 0, 1
Factor -x**2/4 - 19*x/2 + 20.
-(x - 2)*(x + 40)/4
Let x**4/5 + x**3/5 - 21*x**2/5 - x/5 + 4 = 0. What is x?
-5, -1, 1, 4
Factor -f**2 - 31*f.
-f*(f + 31)
Factor 2*y**2/13 + 88*y/13 + 576/13.
2*(y + 8)*(y + 36)/13
Find j, given that 2*j**2/5 - 4892*j/5 - 9792/5 = 0.
-2, 2448
Let -d**4/6 - 25*d**3/6 = 0. What is d?
-25, 0
Factor -5*k**2/3 + 1885*k/3 + 630.
-5*(k - 378)*(k + 1)/3
Let -2*h**4/9 + 10*h**3/9 - 8*h**2/9 = 0. What is h?
0, 1, 4
Factor b**4 - 23*b**3 + 80*b**2 - 76*b.
b*(b - 19)*(b - 2)**2
Factor -c**2/4 + c/4 + 3/2.
-(c - 3)*(c + 2)/4
Solve 3*q**4 + 135*q**3 + 1449*q**2 - 1587*q = 0.
-23, 0, 1
Suppose -3*c**3/5 + 63*c**2 + 2352*c/5 = 0. What is c?
-7, 0, 112
Factor 15*k**3 + k**2/4.
k**2*(60*k + 1)/4
Factor 2*s**3/7 + 1000*s**2/7 - 2006*s/7 + 1004/7.
2*(s - 1)**2*(s + 502)/7
Find d such that -31*d**4 + 29*d**3 + 188*d**2 + 12*d = 0.
-2, -2/31, 0, 3
Factor 2*s**2/3 - 64*s/3 + 62/3.
2*(s - 31)*(s - 1)/3
Factor -2*v**2 + 16*v + 18.
-2*(v - 9)*(v + 1)
Factor 2*i**3 - 126*i**2 + 1782*i + 6534.
2*(i - 33)**2*(i + 3)
What is x in 2*x**4/7 + 8*x**3 - 186*x**2/7 = 0?
-31, 0, 3
Find s, given that -3*s**5 + 63*s**4 + 546*s**3 + 1152*s**2 + 672*s = 0.
-4, -2, -1, 0, 28
Factor -2*n**2 + 1032*n + 1034.
-2*(n - 517)*(n + 1