m*(m - 2)*(m - 1)*(m + 2)
Suppose -3*l**5/8 + 9*l**4/8 + 21*l**3/8 - 45*l**2/8 - 27*l/4 = 0. What is l?
-2, -1, 0, 3
Let -3*o**3/5 - 57*o**2/5 - 297*o/5 - 243/5 = 0. What is o?
-9, -1
Suppose 2*w**4 - 12*w**3 + 26*w**2 - 24*w + 8 = 0. Calculate w.
1, 2
Factor 2*q**3 - 18*q**2 + 22*q + 42.
2*(q - 7)*(q - 3)*(q + 1)
Factor 39*t**2 - 60*t - 36.
3*(t - 2)*(13*t + 6)
Let 4*c**3/7 + 208*c**2/7 - 36*c/7 - 1872/7 = 0. What is c?
-52, -3, 3
What is m in 25*m**5/4 - 110*m**4 + 180*m**3 + 5405*m**2/2 + 13255*m/4 + 1815/2 = 0?
-3, -1, -2/5, 11
Factor -14*z**2 + 316*z - 176.
-2*(z - 22)*(7*z - 4)
Determine k, given that 2*k**5 - 31*k**4 - 22*k**3 + 97*k**2 - 14*k - 32 = 0.
-2, -1/2, 1, 16
Factor 2*k**3/7 + 16*k**2/7 - 130*k/7.
2*k*(k - 5)*(k + 13)/7
Suppose j**4/6 + 175*j**3/3 + 116*j**2 = 0. What is j?
-348, -2, 0
Solve 5*i**4 + 40*i**3 + 35*i**2 - 180*i - 180 = 0 for i.
-6, -3, -1, 2
Factor a**3/3 + 26*a**2/9 + 11*a/3 - 14/9.
(a + 2)*(a + 7)*(3*a - 1)/9
Factor 2*q**3 - 24*q**2 + 78*q - 56.
2*(q - 7)*(q - 4)*(q - 1)
Find h, given that 26*h**3/3 + 4*h**2/3 - 26*h/3 - 4/3 = 0.
-1, -2/13, 1
Factor -3*h**3 - 27*h**2 + 63*h - 33.
-3*(h - 1)**2*(h + 11)
Factor 21*k**2/8 + 6*k + 3/2.
3*(k + 2)*(7*k + 2)/8
Factor -3*i**4 + 6*i**3 + 12*i**2 - 6*i - 9.
-3*(i - 3)*(i - 1)*(i + 1)**2
Find i, given that -i**3/5 + 8*i**2 - 80*i = 0.
0, 20
Solve x**4 - 4*x**2 = 0 for x.
-2, 0, 2
Factor -4*k**5 + 9*k**4 - 2*k**3.
-k**3*(k - 2)*(4*k - 1)
Let -4*p**4/7 + p**3/7 + 3*p**2/7 = 0. Calculate p.
-3/4, 0, 1
Solve l**5/4 + l**4/2 - 3*l**3/2 - 2*l**2 + 5*l/4 + 3/2 = 0 for l.
-3, -1, 1, 2
Factor h**2 - 40*h + 391.
(h - 23)*(h - 17)
Find k, given that -3*k**4/8 + 3*k**3/8 + 15*k**2/8 + 9*k/8 = 0.
-1, 0, 3
Solve s**5 + 192*s**4 + 12288*s**3 + 262144*s**2 = 0.
-64, 0
Factor 5*z**3/4 - 20*z**2 + 80*z.
5*z*(z - 8)**2/4
Factor -98*s**4/5 + 1848*s**3/5 - 12492*s**2/5 + 7128*s - 7290.
-2*(s - 3)**2*(7*s - 45)**2/5
Let -2*a**2/15 - 1264*a/3 - 998560/3 = 0. What is a?
-1580
Factor 2*x**2/9 + 3776*x/9 + 1782272/9.
2*(x + 944)**2/9
Factor -3*z**3/5 + 213*z**2/5 - 3441*z/5 - 12321/5.
-3*(z - 37)**2*(z + 3)/5
Factor -3*m**5 - 39*m**4 - 165*m**3 - 225*m**2.
-3*m**2*(m + 3)*(m + 5)**2
Factor o**4 - o**3 - 2*o**2.
o**2*(o - 2)*(o + 1)
Factor q**2/5 - 274*q/5 - 831/5.
(q - 277)*(q + 3)/5
Factor -m**2/7 + 30*m - 621/7.
-(m - 207)*(m - 3)/7
Factor 3*y**5/5 + 78*y**4/5 - 81*y**3/5.
3*y**3*(y - 1)*(y + 27)/5
Factor n**3/2 + 33*n**2/2 + 144*n + 128.
(n + 1)*(n + 16)**2/2
Let 2*l**3/13 - 1252*l**2/13 + 194680*l/13 + 394384/13 = 0. What is l?
-2, 314
Factor -16758*f**3/13 + 9674*f**2/13 - 1424*f/13 + 8/13.
-2*(7*f - 2)**2*(171*f - 1)/13
Factor 5*o**4 + 15*o**3 - 20*o**2 - 60*o.
5*o*(o - 2)*(o + 2)*(o + 3)
Factor 3*n**4 - 456*n**3 + 21318*n**2 - 287040*n + 266175.
3*(n - 65)**2*(n - 21)*(n - 1)
Factor y**4 - 9*y**3 + 11*y**2 + 21*y.
y*(y - 7)*(y - 3)*(y + 1)
Factor -4*u**4/3 - 24*u**3 - 44*u**2 - 64*u/3.
-4*u*(u + 1)**2*(u + 16)/3
Factor 5*v**2 - 1365*v.
5*v*(v - 273)
Suppose -c**3/8 - 21*c**2/8 + 117*c + 5239/2 = 0. Calculate c.
-26, 31
Factor -16*p**3/3 + 7*p**2.
-p**2*(16*p - 21)/3
Factor 4*v**3/3 + 56*v**2/3 - 220*v/3 - 3872/3.
4*(v - 8)*(v + 11)**2/3
Solve -2*g**4/11 - 6*g**3/11 + 30*g**2/11 - 34*g/11 + 12/11 = 0.
-6, 1
Factor 2*v**5/13 - 6*v**4/13 + 4*v**3/13.
2*v**3*(v - 2)*(v - 1)/13
Find z such that -z**2/3 - 11*z/3 - 10/3 = 0.
-10, -1
Factor -5*f**2 + 13100*f + 13105.
-5*(f - 2621)*(f + 1)
Let c**4/5 - c**3/5 - 14*c**2 + 352*c/5 - 96 = 0. Calculate c.
-10, 3, 4
Factor 27*f**3/7 + 6579*f**2/7 + 4377*f/7 + 729/7.
3*(f + 243)*(3*f + 1)**2/7
Solve -y**2/4 - 7*y/4 = 0 for y.
-7, 0
Determine a, given that 4*a**2 + 724*a + 1432 = 0.
-179, -2
Factor d**5 - d**4 - 3*d**3 + 5*d**2 - 2*d.
d*(d - 1)**3*(d + 2)
Factor q**3 - 5*q**2 - 6*q.
q*(q - 6)*(q + 1)
Factor 32*f**3/15 - 368*f**2 + 918*f/5 - 344/15.
2*(f - 172)*(4*f - 1)**2/15
Factor 3*r**3/5 + 1602*r**2/5 + 43407*r + 168540.
3*(r + 4)*(r + 265)**2/5
Factor -25*k**4 + 80*k**3 - 65*k**2 + 10*k.
-5*k*(k - 2)*(k - 1)*(5*k - 1)
Factor -u**2 + 8*u + 48.
-(u - 12)*(u + 4)
Suppose -4*c**4 + 60*c**2 + 40*c - 96 = 0. Calculate c.
-3, -2, 1, 4
Suppose z**4/5 - 14*z**3/5 + 51*z**2/5 - 54*z/5 = 0. What is z?
0, 2, 3, 9
Factor 5*r**4 + 135*r**3.
5*r**3*(r + 27)
Factor -2*h**3/3 - 157*h**2/2 - 2301*h + 3481/6.
-(h + 59)**2*(4*h - 1)/6
Factor 3*f**5/5 - 48*f**4 + 5034*f**3/5 - 1872*f**2 + 4563*f/5.
3*f*(f - 39)**2*(f - 1)**2/5
Factor w**4 + 49*w**3 + 184*w**2 + 180*w.
w*(w + 2)**2*(w + 45)
Factor -4*f**2/7 - 696*f - 14580/7.
-4*(f + 3)*(f + 1215)/7
Suppose -4*g**5 - 4*g**4 + 112*g**3 - 80*g**2 - 192*g = 0. Calculate g.
-6, -1, 0, 2, 4
Find d, given that 2*d**5/3 + 2*d**4 - 8*d**2/3 = 0.
-2, 0, 1
Find j, given that -3*j**4/5 - 648*j**3/5 + 9*j**2/5 + 1938*j/5 - 1296/5 = 0.
-216, -2, 1
Find x, given that -4*x**4 + 16*x**3 + 72*x**2 + 80*x + 28 = 0.
-1, 7
Determine f, given that -3*f**3/4 - 13*f**2/2 - 37*f/4 + 33/2 = 0.
-6, -11/3, 1
Determine p so that 12*p**4 + 92*p**3 + 52*p**2 - 28*p = 0.
-7, -1, 0, 1/3
Factor 2*d**2/3 + 2*d + 4/3.
2*(d + 1)*(d + 2)/3
Find n such that -n**2/4 + 31*n/4 - 29/2 = 0.
2, 29
Suppose -i**5/8 + 21*i**4/8 - 81*i**3/4 + 297*i**2/4 - 1053*i/8 + 729/8 = 0. What is i?
3, 9
Solve 2*n**5/7 + 18*n**4/7 + 30*n**3/7 + 2*n**2 = 0.
-7, -1, 0
Factor 2*c**3/9 + 34*c**2/9 + 32*c/9.
2*c*(c + 1)*(c + 16)/9
Let 3*d**3 - 30*d**2 - 48*d + 480 = 0. What is d?
-4, 4, 10
What is r in r**4/2 - 3*r**3/2 - 9*r**2 + 20*r = 0?
-4, 0, 2, 5
What is w in 2*w**2/19 - 42*w/19 - 44/19 = 0?
-1, 22
Suppose -h**2 - 740*h - 1476 = 0. Calculate h.
-738, -2
Determine k, given that 2*k**5/5 - 256*k**4/5 + 8444*k**3/5 - 16128*k**2/5 + 7938*k/5 = 0.
0, 1, 63
Let -6*d**5 + 21*d**4 - 3*d**3 - 48*d**2 + 36*d = 0. Calculate d.
-3/2, 0, 1, 2
Suppose 5*a**5/6 + 1985*a**4/6 + 127525*a**3/3 + 4772920*a**2/3 - 67787840*a/3 + 62886400/3 = 0. What is a?
-136, 1, 10
Factor w**3/6 + 49*w**2/3 + 2585*w/6 + 4418/3.
(w + 4)*(w + 47)**2/6
Factor 4*c**3 - 244*c**2 + 472*c.
4*c*(c - 59)*(c - 2)
Factor 2*s**3/7 + 200*s**2/7 - 2*s/7 - 200/7.
2*(s - 1)*(s + 1)*(s + 100)/7
Find g, given that -g**2/3 + 28*g - 164/3 = 0.
2, 82
Suppose g**5/3 - g**4/3 - 41*g**3/3 - 107*g**2/3 - 100*g/3 - 32/3 = 0. What is g?
-4, -1, 8
Factor -2*z**2/11 + 22*z - 476/11.
-2*(z - 119)*(z - 2)/11
Factor 5*p**5 - 40*p**4 - 15*p**3 + 650*p**2 - 1000*p.
5*p*(p - 5)**2*(p - 2)*(p + 4)
What is u in 25*u**4/2 - 1415*u**3/2 + 1108*u**2 - 440*u = 0?
0, 4/5, 55
Factor -s**2/6 - 37*s/6.
-s*(s + 37)/6
What is k in -18*k**3/13 - 122*k**2/13 + 172*k/13 - 32/13 = 0?
-8, 2/9, 1
Factor -8*p**3 + 84*p**2 - 100*p - 72.
-4*(p - 9)*(p - 2)*(2*p + 1)
Factor -3*n**3 + 750*n**2 - 747*n.
-3*n*(n - 249)*(n - 1)
Let 3*q**2 + 207*q - 210 = 0. Calculate q.
-70, 1
Factor 3*p**3 - 234*p**2 + 6084*p - 52728.
3*(p - 26)**3
Determine i, given that -2*i**5/11 - 4*i**4/11 + 4*i**2/11 + 2*i/11 = 0.
-1, 0, 1
Let p**2 + p - 6 = 0. Calculate p.
-3, 2
Solve -5*t**4 + 100*t**3 - 495*t**2 + 440*t + 1040 = 0.
-1, 4, 13
Factor -k**3 + 3*k**2 + k - 3.
-(k - 3)*(k - 1)*(k + 1)
Factor c**4/4 - 57*c**3/4 + 55*c**2/4 + 57*c/4 - 14.
(c - 56)*(c - 1)**2*(c + 1)/4
Suppose 5*s**4 - 110*s**3 + 775*s**2 - 1750*s = 0. Calculate s.
0, 5, 7, 10
Let 48*x**5/7 + 696*x**4/7 + 1947*x**3/7 - 597*x**2 + 240*x - 192/7 = 0. What is x?
-8, 1/4, 1
Suppose -3*f**5 - 45*f**4 - 144*f**3 + 192*f**2 = 0. What is f?
-8, 0, 1
Let 2*h**2/5 + 8344*h/5 + 8702792/5 = 0. What is h?
-2086
Factor 2*j**3 + 48*j**2 - 110*j - 156.
2*(j - 3)*(j + 1)*(j + 26)
Factor -3*v**4 - 174*v**3 - 2835*v**2 - 8748*v.
-3*v*(v + 4)*(v + 27)**2
Factor -j**2 + 128*j - 4096.
-(j - 64)**2
Factor -4*d**4/7 - 8*d**3 + 828*d**2/7.
-4*d**2*(d - 9)*(d + 23)/7
Solve 6*v**4/13 - 32*v**3/13 + 30*v**2/13 + 12*v/13 - 16/13 = 0 for v.
-2/3, 1, 4
Suppose -2*g**5/3 + 136*g**4/3 - 724*g**3 - 4760*g**2/3 - 2450*g/3 = 0. What is g?
-1, 0, 35
Factor -8*q**3/5 + 33266*q**2/5 - 34586244*q/5 + 8644482/5.
-2*(q - 2079)**2*(4*q - 1)/5
Factor 20*u**2 + 172*u - 72.
4*(u + 9)*(5*u - 2)
Let -6*b**3/17 + 134*b**2/17 - 554*b/17 + 10 = 0. What is b?
1/3, 5, 17
What is j in -3*j**5/2 + 15*j**4/2 - 27*j**3/2 + 21*j**2/2 - 3*j = 0?
0, 1, 2
Let -4*h**4/7 + 37*h**3/7 - 89*h**2/7 + 20*h/7 = 0. Calculate h.
0, 1/4, 4, 5
Factor 4*k**3/3 + 50*k**2/3 + 4*k - 48.
2*(k 