0, 4
Factor 2*m**3 + 118*m**2 + 112*m - 232.
2*(m - 1)*(m + 2)*(m + 58)
Find m such that -8*m**4 + 19*m**3 - 9*m**2 - 7*m + 5 = 0.
-5/8, 1
Factor 5*w**4 + 1195*w**3.
5*w**3*(w + 239)
Factor 33*n**2/5 + 27*n/5 - 12.
3*(n - 1)*(11*n + 20)/5
Factor 2*t**3/11 + 2*t**2 + 38*t/11 + 18/11.
2*(t + 1)**2*(t + 9)/11
Factor -2*o**5/3 + 4*o**4/3.
-2*o**4*(o - 2)/3
Factor -2*w**2 - 82*w - 360.
-2*(w + 5)*(w + 36)
Solve -4*o**2 - 45888*o - 131606784 = 0 for o.
-5736
Suppose d**3/2 - 3*d**2/2 - 23*d - 36 = 0. Calculate d.
-4, -2, 9
Suppose -4*r**5/5 + 168*r**3/5 + 608*r**2/5 + 732*r/5 + 288/5 = 0. Calculate r.
-3, -1, 8
Let -2*o**3/3 + 496*o**2/3 + 998*o/3 + 500/3 = 0. Calculate o.
-1, 250
Solve -3*d**5/2 + 7*d**4 + 293*d**3/6 + 81*d**2 + 158*d/3 + 12 = 0.
-2, -1, -2/3, 9
What is a in 2*a**3/7 - 2*a**2 + 20*a/7 = 0?
0, 2, 5
Let 8*z**4/11 - 4442*z**3/11 + 822510*z**2/11 - 50858350*z/11 + 12663250/11 = 0. Calculate z.
1/4, 185
Factor 3*i**4/7 + 24*i**3/7 - 9*i**2/7 - 78*i/7 - 48/7.
3*(i - 2)*(i + 1)**2*(i + 8)/7
What is n in 3*n**3 + 144*n**2 + 540*n + 528 = 0?
-44, -2
Factor -d**4/3 + 5*d**3/3 - 8*d**2/3 + 4*d/3.
-d*(d - 2)**2*(d - 1)/3
Factor c**3/7 + 9*c**2/7 - 22*c/7.
c*(c - 2)*(c + 11)/7
Find o such that o**5/4 + 57*o**4/2 - 233*o**3/2 + 176*o**2 - 471*o/4 + 59/2 = 0.
-118, 1
Suppose -2*y**5 + 2*y**4 + 10*y**3 - 10*y**2 - 8*y + 8 = 0. Calculate y.
-2, -1, 1, 2
Factor 196*u**4 - 8288*u**3 + 88792*u**2 - 24864*u + 1764.
4*(u - 21)**2*(7*u - 1)**2
Let -7*y**4/3 + 16*y**3/3 + 59*y**2/3 - 48*y + 12 = 0. Calculate y.
-3, 2/7, 2, 3
Factor 2*k**4/9 - 2*k**3/9 - 32*k**2/9 - 40*k/9.
2*k*(k - 5)*(k + 2)**2/9
Solve -3*w**5 - 174*w**4 - 1377*w**3 - 2550*w**2 + 4992*w + 14112 = 0.
-49, -4, -3, 2
Suppose h**4/4 - 5*h**3/4 + 7*h**2/4 - 3*h/4 = 0. Calculate h.
0, 1, 3
Solve 2*l**2 + 46*l + 152 = 0.
-19, -4
Solve -a**3/6 + 7*a**2/6 + a/6 - 7/6 = 0 for a.
-1, 1, 7
Factor -4*y**5 + 32*y**4.
-4*y**4*(y - 8)
Factor 4*v**5 + 32*v**4 - 92*v**3 - 536*v**2 + 1904*v - 1568.
4*(v - 2)**3*(v + 7)**2
Factor -10*p**4 - 204*p**3 - 1080*p**2 - 400*p.
-2*p*(p + 10)**2*(5*p + 2)
Let -2*j**5/13 - 30*j**4/13 - 116*j**3/13 + 36*j**2/13 + 406*j/13 - 294/13 = 0. Calculate j.
-7, -3, 1
Factor -18*s**2/5 + 874*s/5 - 96.
-2*(s - 48)*(9*s - 5)/5
Solve -36*o**5 + 120*o**4 + 1772*o**3 - 9696*o**2 + 16720*o - 9600 = 0 for o.
-8, 5/3, 2, 6
Let l**4/6 - 6*l**3 - 25*l**2/2 - 19*l/3 = 0. Calculate l.
-1, 0, 38
Factor -4*u**4/5 - 12*u**3 - 252*u**2/5 - 196*u/5.
-4*u*(u + 1)*(u + 7)**2/5
Find d, given that 4*d**3 + 20940*d**2 + 27415692*d + 27394756 = 0.
-2617, -1
What is k in 5*k**4 - 20*k**3 - 35*k**2 + 110*k + 120 = 0?
-2, -1, 3, 4
Factor g**3/5 - 28*g**2/5 - 29*g/5.
g*(g - 29)*(g + 1)/5
Suppose 3*p**3 + 41*p**2/3 - 50*p/3 = 0. What is p?
-50/9, 0, 1
Find u such that 3*u**2 - 1020*u + 86700 = 0.
170
Factor 4*f**2/9 + 64*f/9 + 20/3.
4*(f + 1)*(f + 15)/9
Solve -2*k**3/7 - 178*k**2/7 - 400*k + 55000/7 = 0 for k.
-50, 11
Factor 2*q**3/3 - 268*q**2/3 + 10168*q/3 - 76880/3.
2*(q - 62)**2*(q - 10)/3
Find x, given that x**5 + 4*x**4 + 4*x**3 - 2*x**2 - 5*x - 2 = 0.
-2, -1, 1
Factor 105*v**2 - 80*v + 15.
5*(3*v - 1)*(7*v - 3)
Factor -2*v**3/9 + 364*v**2/9 - 80*v.
-2*v*(v - 180)*(v - 2)/9
Factor -2*f**2/11 + 2032*f/11.
-2*f*(f - 1016)/11
Suppose z**3/2 + 5*z**2/2 + 4*z + 2 = 0. What is z?
-2, -1
Determine p so that -2*p**2/13 - 10*p/13 + 48/13 = 0.
-8, 3
Solve -12*u**5 - 20*u**4 + 1256*u**3 - 2544*u**2 - 10080*u = 0.
-35/3, -2, 0, 6
Let -4*a**2 + 28*a - 24 = 0. Calculate a.
1, 6
Let 10*n**4 + 58*n**3 - 22*n**2 - 58*n + 12 = 0. Calculate n.
-6, -1, 1/5, 1
Suppose 2*r**2 + 32*r - 210 = 0. Calculate r.
-21, 5
Determine n, given that -12*n**4/7 + 2*n**3/7 + 10*n**2/7 - 4*n/7 = 0.
-1, 0, 1/2, 2/3
Solve 3*o**4 - 3*o**2 = 0 for o.
-1, 0, 1
Factor -2*u**2/7 - 150*u - 3132/7.
-2*(u + 3)*(u + 522)/7
Solve -m**2/5 - m - 4/5 = 0.
-4, -1
Solve 2*o**5/7 - 2*o**4 + 22*o**3/7 - 10*o**2/7 = 0.
0, 1, 5
Solve j**3 + 2*j**2 + j = 0 for j.
-1, 0
Determine f, given that 2*f**5/11 + 410*f**4/11 + 20382*f**3/11 - 65306*f**2/11 - 20384*f/11 + 64896/11 = 0.
-104, -1, 1, 3
Factor -4*f**5 - 80*f**4 + 360*f**3 - 560*f**2 + 380*f - 96.
-4*(f - 1)**4*(f + 24)
Let 7*x**5 - 22*x**4 - 12*x**3 + 88*x**2 - 64*x = 0. Calculate x.
-2, 0, 8/7, 2
Solve -25*p**4/2 + 155*p**3 + 219*p**2/2 - 148*p - 104 = 0 for p.
-4/5, 1, 13
Find a such that 9*a**5/5 - 42*a**4/5 + 13*a**3/5 + 48*a**2/5 - 12*a/5 - 16/5 = 0.
-2/3, 1, 4
Find i such that -5*i**4 - 25*i**3 + 30*i**2 = 0.
-6, 0, 1
Factor -2*f**2/3 - 34*f - 376/3.
-2*(f + 4)*(f + 47)/3
Factor -2*v**3/3 - 38*v**2/3 - 60*v - 48.
-2*(v + 1)*(v + 6)*(v + 12)/3
Let -2*u**3/19 - 18*u**2/19 + 104*u/19 = 0. Calculate u.
-13, 0, 4
Let -27*y**5 - 7524*y**4 - 19848*y**3 + 6720*y**2 + 26448*y - 13248 = 0. What is y?
-276, -2, 2/3
What is u in 9*u**4 + 543*u**3 - 6219*u**2 - 9063*u - 2310 = 0?
-70, -1, -1/3, 11
Factor 3*l**4 - 17*l**3 + 9*l**2 + 5*l.
l*(l - 5)*(l - 1)*(3*l + 1)
Factor -2*s**5 - 8*s**4 - 12*s**3 - 8*s**2 - 2*s.
-2*s*(s + 1)**4
Suppose -5*p**4/3 - 160*p**3/3 - 370*p**2 + 2720*p/3 - 1445/3 = 0. What is p?
-17, 1
Determine m, given that -36*m**4 + 280*m**3 - 188*m**2 - 56*m = 0.
-2/9, 0, 1, 7
Determine t, given that -6*t**5/17 - 40*t**4/17 - 82*t**3/17 - 40*t**2/17 + 24*t/17 = 0.
-3, -2, 0, 1/3
Factor -5*t**2/2 - 155*t + 320.
-5*(t - 2)*(t + 64)/2
Factor -t**4 + 2*t**3 + 3*t**2.
-t**2*(t - 3)*(t + 1)
Factor -2*o**2/17 - 84*o/17 - 882/17.
-2*(o + 21)**2/17
Factor -g**3/6 - 43*g**2/3 - 880*g/3 + 1936/3.
-(g - 2)*(g + 44)**2/6
Find n, given that n**5/4 - 47*n**4/4 + 175*n**3/4 - 125*n**2/4 - 44*n + 43 = 0.
-1, 1, 2, 43
Factor 7*c**3/3 - 23*c**2 + 53*c/3 + 3.
(c - 9)*(c - 1)*(7*c + 1)/3
Factor -3*v**3/5 - 18*v**2/5 + 21*v/5.
-3*v*(v - 1)*(v + 7)/5
Suppose -l**2/3 - 6*l - 32/3 = 0. Calculate l.
-16, -2
Let -3*z**2 - 282*z - 6627 = 0. What is z?
-47
Factor o**4/3 - 5*o**3/3 + 4*o**2/3.
o**2*(o - 4)*(o - 1)/3
Factor g**5 - 158*g**4 + 8095*g**3 - 121662*g**2 - 673596*g + 787320.
(g - 54)**3*(g - 1)*(g + 5)
Suppose 4*l**2 + 1880*l + 220900 = 0. What is l?
-235
Suppose -15*f**4/2 - 263*f**3/4 + 21*f**2 + 191*f/4 + 9/2 = 0. What is f?
-9, -2/3, -1/10, 1
Determine q so that q**4/3 + 22*q**3/3 + 32*q**2 - 96*q = 0.
-12, 0, 2
Factor 3*a**3/7 - 36*a**2/7 - 39*a/7.
3*a*(a - 13)*(a + 1)/7
Suppose -4*b**5 + 60*b**4 + 284*b**3 + 372*b**2 + 152*b = 0. Calculate b.
-2, -1, 0, 19
Determine r, given that 4*r**2 - 376*r - 3264 = 0.
-8, 102
Factor -c**3/4 - 39*c**2/2 + 17576.
-(c - 26)*(c + 52)**2/4
Let z**2/2 + 16*z + 31/2 = 0. What is z?
-31, -1
Factor -3*u**3/5 + 213*u**2/5 - 4977*u/5 + 38367/5.
-3*(u - 29)*(u - 21)**2/5
Factor -4*s**3 + 444*s**2 - 1296*s.
-4*s*(s - 108)*(s - 3)
Factor 3*p**2/8 - 273*p/8 - 423/4.
3*(p - 94)*(p + 3)/8
Find s such that -s**4 + 8*s**3 - 11*s**2 - 8*s + 12 = 0.
-1, 1, 2, 6
Factor 2*p**2/7 - 216*p/7 - 440/7.
2*(p - 110)*(p + 2)/7
Factor y**3 + 699*y**2 + 162867*y + 12649337.
(y + 233)**3
Determine f, given that -14*f**4/3 + 80*f**3/3 - 34*f**2 - 12*f = 0.
-2/7, 0, 3
Let -175*i**5 - 20*i**4 + 195*i**3 + 20*i**2 - 20*i = 0. Calculate i.
-1, -2/5, 0, 2/7, 1
Let 2*h**4/9 + 4*h**3/3 + 2*h**2 + 8*h/9 = 0. Calculate h.
-4, -1, 0
What is r in 3*r**2/5 + 21*r/5 - 234/5 = 0?
-13, 6
Factor -15*z**3 + 99*z**2 - 174*z + 72.
-3*(z - 4)*(z - 2)*(5*z - 3)
Factor 500*u**4 + 54300*u**3 + 32460*u**2 + 6484*u + 432.
4*(u + 108)*(5*u + 1)**3
Find t, given that -25*t**5/3 - 40*t**4/3 + 95*t**3/3 + 70*t**2/3 - 140*t/3 + 40/3 = 0.
-2, 2/5, 1
Factor 144*h**2 + 122*h + 20.
2*(8*h + 5)*(9*h + 2)
Factor -f**4 - 8*f**3 - 22*f**2 - 24*f - 9.
-(f + 1)**2*(f + 3)**2
Factor t**2/5 + 242*t/5 - 243/5.
(t - 1)*(t + 243)/5
Find r, given that r**5/2 + 23*r**4 - 433*r**3/2 - 23*r**2 + 216*r = 0.
-54, -1, 0, 1, 8
Factor l**3 + 188*l**2 + 8836*l.
l*(l + 94)**2
Find c, given that 20*c**3 + 168*c**2 + 204*c + 56 = 0.
-7, -1, -2/5
Find a such that -a**2/4 - 13*a/2 + 27/4 = 0.
-27, 1
Factor 4*v**2/3 + 772*v/3 + 1528/3.
4*(v + 2)*(v + 191)/3
Suppose 5*h**4 + 45*h**3 - 125*h**2 - 165*h = 0. What is h?
-11, -1, 0, 3
Determine a so that -2*a**2/3 - 1088*a/3 - 147968/3 = 0.
-272
What is m in -2*m**2/9 + 166*m/9 + 232/3 = 0?
-4, 87
Factor 4*y**2 - 88*y + 228.
4*(y - 19)*(y - 3)
Factor 3*j**5 - 15*j**4 - 162*j**3 + 930*j**2 + 975*j - 7875.
3*(j - 5)**