tor 2*l**2 + 398*l - 6420.
2*(l - 15)*(l + 214)
Let 2*h**3/17 + 2076*h**2/17 + 122*h = 0. What is h?
-1037, -1, 0
Determine a so that a**2/3 + 77*a/3 + 832/3 = 0.
-64, -13
Suppose -c**4/8 + 375*c**3/8 + c**2/8 - 375*c/8 = 0. Calculate c.
-1, 0, 1, 375
Factor -2*c**2/15 - 264*c/5 - 158/3.
-2*(c + 1)*(c + 395)/15
Find j, given that -4*j**4/3 + 16*j**3 - 200*j**2/3 + 112*j - 60 = 0.
1, 3, 5
Factor -2*v**2/9 - 14*v/9 - 20/9.
-2*(v + 2)*(v + 5)/9
Factor r**4/2 - 3*r**3 - 19*r**2/2 + 12*r.
r*(r - 8)*(r - 1)*(r + 3)/2
Factor 2*i**3 - 1196*i**2 - 2*i + 1196.
2*(i - 598)*(i - 1)*(i + 1)
Let 2*r**3/3 - 172*r**2/21 + 202*r/21 - 44/21 = 0. What is r?
2/7, 1, 11
Let -12*d**3 - 54*d**2 + 117*d/4 - 15/4 = 0. What is d?
-5, 1/4
Determine o so that -5*o**4 - 11680*o**3 - 6797720*o**2 + 27331200*o - 27378000 = 0.
-1170, 2
Factor -s**4/3 - 3*s**3 + 12*s**2 - 4*s/3 - 16.
-(s - 2)**2*(s + 1)*(s + 12)/3
Find s such that -7*s**4 + 100*s**3 + 189*s**2 + 50*s - 32 = 0.
-1, 2/7, 16
Solve -4*u**5 - 1226*u**4 - 91774*u**3 + 332014*u**2 - 335110*u + 96100 = 0.
-155, 1/2, 1, 2
Factor 15*f**3/7 + 216*f**2/7 - 141*f/7 - 90/7.
3*(f - 1)*(f + 15)*(5*f + 2)/7
Determine y, given that 30*y**3/7 + 10526*y**2/7 - 1404*y/7 = 0.
-351, 0, 2/15
Let -24*h**4 + 39*h**3 + 9*h**2 - 39*h + 15 = 0. What is h?
-1, 5/8, 1
Factor -l**5 - 11*l**4 - 8*l**3 + 20*l**2.
-l**2*(l - 1)*(l + 2)*(l + 10)
Determine z so that 9*z**5 - 12*z**4 - 36*z**3 + 42*z**2 + 27*z - 30 = 0.
-5/3, -1, 1, 2
Find a, given that 2*a**3/17 + 856*a**2/17 + 91592*a/17 = 0.
-214, 0
Suppose 12*l**5 - 100*l**4 + 228*l**3 - 124*l**2 - 96*l + 80 = 0. What is l?
-2/3, 1, 2, 5
Let -h**5 + 5*h**4 + 54*h**3 + 122*h**2 + 107*h + 33 = 0. What is h?
-3, -1, 11
Factor 2*s**3/9 - 134*s**2/9 - 140*s/9 + 272/9.
2*(s - 68)*(s - 1)*(s + 2)/9
Solve g**2/4 + 9*g/2 = 0 for g.
-18, 0
Factor -10*b**3/3 + 94*b**2/3 - 116*b/3 + 32/3.
-2*(b - 8)*(b - 1)*(5*b - 2)/3
Find u such that -3*u**5/4 + 30*u**4 - 213*u**3/4 - 147*u**2 + 171*u = 0.
-2, 0, 1, 3, 38
Find f such that -2*f**3 - 20*f**2 - 34*f - 16 = 0.
-8, -1
Factor -i**4/6 + 7*i**2/6 - i.
-i*(i - 2)*(i - 1)*(i + 3)/6
Suppose 3*q**5 - 24*q**4 + 33*q**3 + 24*q**2 - 36*q = 0. Calculate q.
-1, 0, 1, 2, 6
Solve 4*t**2/15 + 22*t/15 - 14/5 = 0 for t.
-7, 3/2
Factor -2*t**2/5 - 28*t/5.
-2*t*(t + 14)/5
Factor 2*b**3 + 148*b**2 + 2880*b + 5184.
2*(b + 2)*(b + 36)**2
Let -m**3/5 - 3*m**2 - 26*m/5 + 24 = 0. What is m?
-12, -5, 2
Suppose -2*r**5/7 - 194*r**4/7 - 3286*r**3/7 + 68162*r**2/7 - 282480*r/7 + 217800/7 = 0. Calculate r.
-55, 1, 6
Suppose -2*g**4 - 17132*g**3 - 36688178*g**2 = 0. Calculate g.
-4283, 0
What is j in -2*j**4/7 - 10*j**3/7 + 4*j**2 + 72*j/7 - 144/7 = 0?
-6, -3, 2
Factor 2*y**2/7 + 18*y/7 - 104/7.
2*(y - 4)*(y + 13)/7
Suppose q**3/3 + 2*q**2 - 5*q + 8/3 = 0. What is q?
-8, 1
What is s in -s**4/4 - 3*s**3/2 - 2*s**2 = 0?
-4, -2, 0
Find a, given that -2*a**5/7 - 4*a**4/7 + 22*a**3/7 + 8*a**2/7 - 8*a + 32/7 = 0.
-4, -2, 1, 2
Factor -g**3 - 47*g**2 + 50*g + 96.
-(g - 2)*(g + 1)*(g + 48)
Solve 49*v**5 + 301*v**4 - 89*v**3 - 693*v**2 + 540*v - 108 = 0.
-6, -2, 3/7, 1
Find i such that 4*i**2 - 92*i - 2496 = 0.
-16, 39
Determine c, given that -3*c**3/2 + 177*c**2/2 - 1428*c + 3528 = 0.
3, 28
Factor -d**5 + 9*d**4 + 2*d**3 - 18*d**2 - d + 9.
-(d - 9)*(d - 1)**2*(d + 1)**2
Factor -2*v**2/19 + 22*v/19 - 60/19.
-2*(v - 6)*(v - 5)/19
Suppose -3*z**2/2 - 51*z/2 + 252 = 0. What is z?
-24, 7
Factor 2*s**2/5 + 16*s/5 - 8.
2*(s - 2)*(s + 10)/5
Solve q**3/3 + 25*q**2/3 - 26*q/3 = 0 for q.
-26, 0, 1
Let -15*s**4 - 39*s**3 + 378*s**2 - 564*s + 168 = 0. Calculate s.
-7, 2/5, 2
Suppose -8*v**2/13 - 518*v/13 + 10 = 0. What is v?
-65, 1/4
Factor o**2 - 2*o + 1.
(o - 1)**2
Find z, given that 3*z**5/4 - 31*z**4/2 + 193*z**3/4 - 51*z**2/2 = 0.
0, 2/3, 3, 17
Factor 4*i**2 + 1980*i - 1984.
4*(i - 1)*(i + 496)
Solve -6*m**3 + 57*m**2 + 255*m + 234 = 0 for m.
-2, -3/2, 13
Factor -4*m**3/5 + 68*m**2/5 + 72*m/5.
-4*m*(m - 18)*(m + 1)/5
Solve -l**3/5 - 4*l**2/5 = 0 for l.
-4, 0
Factor -2*m**3 - 82*m**2.
-2*m**2*(m + 41)
Find g, given that -81*g**4 - 261*g**3 - 55*g**2 - 3*g = 0.
-3, -1/9, 0
Factor l**3 - 6*l**2 + 5*l + 12.
(l - 4)*(l - 3)*(l + 1)
Factor 2*i**2/9 + 8*i/3 + 6.
2*(i + 3)*(i + 9)/9
Factor 2*x**3 - 28*x**2 - 64*x.
2*x*(x - 16)*(x + 2)
Factor -5*t**4 - 10*t**3 + 40*t**2.
-5*t**2*(t - 2)*(t + 4)
Suppose 14*u**2 - 7536*u + 2152 = 0. Calculate u.
2/7, 538
Suppose 48*z**5/5 + 1032*z**4/5 - 105*z**3 + 66*z**2/5 = 0. What is z?
-22, 0, 1/4
Factor -4*s**3/5 + 1052*s**2/5 + 1284*s + 9684/5.
-4*(s - 269)*(s + 3)**2/5
Factor -4*b**3/3 + 632*b**2/3 + 212*b.
-4*b*(b - 159)*(b + 1)/3
Suppose 15*j**5/4 - 69*j**4/4 + 105*j**3/4 - 51*j**2/4 - 3*j + 3 = 0. Calculate j.
-2/5, 1, 2
Factor -2*h**4 - 148*h**3 + 6*h**2 + 448*h + 296.
-2*(h - 2)*(h + 1)**2*(h + 74)
Factor 4*n**2 + 28*n + 48.
4*(n + 3)*(n + 4)
Let -21*j**3/4 - 45*j**2/2 - 87*j/4 - 9/2 = 0. Calculate j.
-3, -1, -2/7
Factor 3*n**4 + 54*n**3 + 183*n**2 + 216*n + 84.
3*(n + 1)**2*(n + 2)*(n + 14)
Factor 20*c**3 - 175*c**2 - 45*c.
5*c*(c - 9)*(4*c + 1)
What is f in 26*f**5/9 + 61*f**4/9 - 10*f**3/9 - 65*f**2/9 - 16*f/9 + 4/9 = 0?
-2, -1, -1/2, 2/13, 1
Factor -r**3/8 + 7*r/8 - 3/4.
-(r - 2)*(r - 1)*(r + 3)/8
Factor 2*x**3 - 58*x**2 + 108*x.
2*x*(x - 27)*(x - 2)
Determine v so that -3*v**2 + 618*v - 31827 = 0.
103
Suppose x**3 - 223*x**2 + 880*x - 876 = 0. What is x?
2, 219
What is a in -3*a**5 + 54*a**4 - 72*a**3 - 438*a**2 + 891*a - 432 = 0?
-3, 1, 3, 16
Find q, given that -3*q**5 - 30*q**4 + 228*q**3 + 30*q**2 - 225*q = 0.
-15, -1, 0, 1, 5
Suppose -12*v**5 - 44*v**4 + 116*v**3 + 156*v**2 - 152*v - 160 = 0. Calculate v.
-5, -1, 4/3, 2
Factor 12*b**4 - 15*b**3 - 9*b**2 + 15*b - 3.
3*(b - 1)**2*(b + 1)*(4*b - 1)
Factor 7*s**4/4 + 37*s**3/4 + 33*s**2/2 + 11*s + 2.
(s + 1)*(s + 2)**2*(7*s + 2)/4
Factor 38*r**3 + 124*r**2 + 134*r + 48.
2*(r + 1)**2*(19*r + 24)
Factor -4*i**3/7 - 132*i**2/7 + 276*i/7 + 27508/7.
-4*(i - 13)*(i + 23)**2/7
Determine f, given that -f**3/2 + 23*f**2/2 + 70*f = 0.
-5, 0, 28
Let 3*c**4 + 88*c**3 + 341*c**2 + 404*c + 100 = 0. Calculate c.
-25, -2, -1/3
Determine q so that -5*q**5/3 - 13*q**4/3 + 11*q**3/3 + 13*q**2/3 - 2*q = 0.
-3, -1, 0, 2/5, 1
Factor 2*m**3/11 - 50*m**2 + 548*m/11.
2*m*(m - 274)*(m - 1)/11
Factor -l**2/5 - 13*l - 186/5.
-(l + 3)*(l + 62)/5
Suppose -n**3/4 - 9*n**2/4 + 145*n/4 + 153/4 = 0. Calculate n.
-17, -1, 9
Factor 3*u**3 - 60*u**2 + 384*u - 768.
3*(u - 8)**2*(u - 4)
Factor d**2/6 + d/3 - 4/3.
(d - 2)*(d + 4)/6
What is d in -5*d**5 - 460*d**4 - 350*d**3 + 9780*d**2 + 20475*d = 0?
-91, -3, 0, 5
What is s in -s**3/3 - 2*s**2/3 + 133*s/3 - 130/3 = 0?
-13, 1, 10
Determine k, given that 25*k**5 + 110*k**4 + 140*k**3 + 40*k**2 = 0.
-2, -2/5, 0
Factor -3*h**5/5 - 822*h**4/5 - 56307*h**3/5.
-3*h**3*(h + 137)**2/5
Solve -h**3/11 - 227*h**2/11 + 920*h/11 - 84 = 0.
-231, 2
Factor 3189796*a**2 - 7144*a + 4.
4*(893*a - 1)**2
Factor w**3 + 70*w**2 - 73*w - 142.
(w - 2)*(w + 1)*(w + 71)
Find t such that 4*t**5 - 8*t**4 - 40*t**3 + 80*t**2 + 36*t - 72 = 0.
-3, -1, 1, 2, 3
Factor y**4/6 + 2*y**3 + 5*y**2/3 - 2*y - 11/6.
(y - 1)*(y + 1)**2*(y + 11)/6
Factor 4*t**4 + 56*t**3 + 116*t**2 - 176*t.
4*t*(t - 1)*(t + 4)*(t + 11)
Let 2*f**2 + 370*f + 368 = 0. Calculate f.
-184, -1
Solve -2*k**4/7 + 1772*k**3/7 - 74592*k**2 + 50817280*k/7 + 103737344/7 = 0 for k.
-2, 296
Factor -4*f**3 + 744*f**2 - 4320*f.
-4*f*(f - 180)*(f - 6)
Factor -2*w**3 - 160*w**2 - 314*w - 156.
-2*(w + 1)**2*(w + 78)
Find h such that 4*h**3 + 640*h**2 - 644*h = 0.
-161, 0, 1
Suppose -2*y**2 - 30*y + 68 = 0. Calculate y.
-17, 2
Suppose 5*v**3 + 60*v**2 - 215*v + 150 = 0. Calculate v.
-15, 1, 2
Solve -2*d**2 + 12*d + 14 = 0 for d.
-1, 7
Solve 2*d**4/3 + 2*d**3 - 74*d**2/3 + 22*d + 48 = 0.
-8, -1, 3
Find o, given that -3*o**3 + 21*o**2 - 42*o + 24 = 0.
1, 2, 4
Factor k**4/4 - k**2/2 + 1/4.
(k - 1)**2*(k + 1)**2/4
Find x, given that 5*x**4/4 + 14*x**3 + 53*x**2/2 + 16*x + 9/4 = 0.
-9, -1, -1/5
Determine z, given that -5*z**5 - 40*z**4 + 35*z**3 + 430*z**2 - 780*z + 360 = 0.
-6, 1, 2
Determine t so that 3*t**2 - 78*t = 0.
0, 26
Factor 2*d**2/5 - 5412*d/5 + 3661218/5.
2*(d - 1353)**2/5
Let -2*c**3/9 - 52*c**2/9 - 128*c/3 - 64 = 0. Calculate c.
-12, -2
What is t in 3*t**5/4 + 39*t**4/4 