given that -2*c**4/3 - 64*c**3/3 - 62*c**2/3 = 0.
-31, -1, 0
Factor -3*a**3 - 12*a**2 + 3*a + 12.
-3*(a - 1)*(a + 1)*(a + 4)
Factor 21*c**4/2 - 33*c**3 + 36*c**2 - 15*c + 3/2.
3*(c - 1)**3*(7*c - 1)/2
Determine t, given that 2*t**2/15 + 4*t/5 + 16/15 = 0.
-4, -2
Solve v**4/3 - 5*v**3/3 - 12*v**2 + 272*v/3 - 448/3 = 0.
-7, 4
Solve -7*v**4/4 - 25*v**3 - 371*v**2/4 - 49*v/2 = 0.
-7, -2/7, 0
Let -4*f**4 + 4*f**3 + 52*f**2 - 4*f - 48 = 0. What is f?
-3, -1, 1, 4
Find a such that a**2/5 - 6*a/5 + 9/5 = 0.
3
Factor l**4 - 20*l**3 + 96*l**2 - 176*l + 112.
(l - 14)*(l - 2)**3
Let -3*q**3 - 315*q**2 + 642*q = 0. Calculate q.
-107, 0, 2
Let w**2/7 - 11*w = 0. Calculate w.
0, 77
Suppose -4*z**2 + 8896*z - 4946176 = 0. Calculate z.
1112
Solve 2*j**3 + 106*j**2 - 344*j - 448 = 0 for j.
-56, -1, 4
Let 2*h**4/21 + 16*h**3/3 + 396*h**2/7 + 416*h/3 - 602/3 = 0. What is h?
-43, -7, 1
What is f in f**4/5 + 3*f**3/5 - 11*f**2/5 - 3*f/5 + 2 = 0?
-5, -1, 1, 2
What is j in -j**3/4 - j**2 + 39*j/4 - 27/2 = 0?
-9, 2, 3
Factor -5*y**5 + 65*y**4 - 300*y**3 + 640*y**2 - 640*y + 240.
-5*(y - 6)*(y - 2)**3*(y - 1)
Let j**5/3 - 78*j**4 + 1153*j**3/3 - 612*j**2 + 916*j/3 = 0. What is j?
0, 1, 2, 229
Factor -2*s**2 - 908*s + 910.
-2*(s - 1)*(s + 455)
Factor -5*t**4 + 1070*t**3 - 58300*t**2 + 112360*t.
-5*t*(t - 106)**2*(t - 2)
Let -4*m**5/9 - 32*m**4/9 - 92*m**3/9 - 112*m**2/9 - 16*m/3 = 0. Calculate m.
-3, -2, -1, 0
Factor c**5 + 4*c**4 + 3*c**3 - 4*c**2 - 4*c.
c*(c - 1)*(c + 1)*(c + 2)**2
Determine v, given that 20*v**3/11 - 118*v**2/11 - 152*v/11 - 14/11 = 0.
-1, -1/10, 7
Factor 25*a**5 - 10*a**4 - 600*a**3 - 1360*a**2 - 560*a + 480.
5*(a - 6)*(a + 2)**3*(5*a - 2)
Factor -3*b**4 + 150*b**3 - 147*b**2.
-3*b**2*(b - 49)*(b - 1)
Factor -4*y**3/5 - 16*y**2/5 + 12*y/5 + 72/5.
-4*(y - 2)*(y + 3)**2/5
Factor 3*h**3/7 + 192*h**2/7 - 393*h/7 + 198/7.
3*(h - 1)**2*(h + 66)/7
Factor -4*s**3 - 72*s**2 - 132*s + 1936.
-4*(s - 4)*(s + 11)**2
Solve -3*c**3 + 321*c**2 - 8370*c = 0 for c.
0, 45, 62
Factor 5*y**3 - 35*y**2 + 20*y + 60.
5*(y - 6)*(y - 2)*(y + 1)
Factor b**3 + 2*b**2 - 11*b - 12.
(b - 3)*(b + 1)*(b + 4)
Factor 2*r**3/15 + 112*r**2/15 + 616*r/15 + 160/3.
2*(r + 2)*(r + 4)*(r + 50)/15
Factor -2*u**4/9 + 4*u**3/9 + 2*u**2/9 - 4*u/9.
-2*u*(u - 2)*(u - 1)*(u + 1)/9
Find z, given that -5*z**4/6 + 35*z**3/3 - 20*z**2 = 0.
0, 2, 12
Factor 2*v**2/13 + 116*v/13 - 118/13.
2*(v - 1)*(v + 59)/13
Find f such that -f**3/4 + 81*f**2/2 - 2187*f + 39366 = 0.
54
Factor k**2 - 4590*k + 5267025.
(k - 2295)**2
Factor 5*m**3 + 5*m**2 - 150*m.
5*m*(m - 5)*(m + 6)
Factor 2*z**2/3 + 14*z/3 + 4.
2*(z + 1)*(z + 6)/3
Find y such that -3*y**5 + 57*y**4 - 234*y**3 - 420*y**2 + 600*y = 0.
-2, 0, 1, 10
Solve 4*c**3/5 - 88*c**2 - 1812*c/5 - 1368/5 = 0 for c.
-3, -1, 114
Let -3*g**2 + 63*g - 114 = 0. What is g?
2, 19
Factor 4*o**5 + 104*o**4 + 960*o**3 + 3672*o**2 + 4860*o.
4*o*(o + 3)*(o + 5)*(o + 9)**2
Factor -2*u**3/19 + 2*u/19.
-2*u*(u - 1)*(u + 1)/19
Determine r so that 30*r**4 - 25*r**3 - 125*r**2 + 100*r + 20 = 0.
-2, -1/6, 1, 2
Determine z so that 5*z**5/4 - 235*z**4/4 + 55*z**3 + 115*z**2 = 0.
-1, 0, 2, 46
Factor 8*c**3/9 - 134*c**2/3 + 1228*c/9 - 94/3.
2*(c - 47)*(c - 3)*(4*c - 1)/9
Factor -5*z**3 - 20*z**2 - 15*z.
-5*z*(z + 1)*(z + 3)
What is y in 3*y**4 - 12*y**3 - 3*y**2 + 12*y = 0?
-1, 0, 1, 4
Determine z, given that -4*z**2 - 932*z = 0.
-233, 0
Solve -3*h**2 + 98*h - 64 = 0 for h.
2/3, 32
Factor -12*a**4 + 87*a**3 + 75*a**2 - 24*a.
-3*a*(a - 8)*(a + 1)*(4*a - 1)
Solve 4*f**3 - 16*f**2 + 4*f + 24 = 0.
-1, 2, 3
Factor -5*r**2 + 60*r + 225.
-5*(r - 15)*(r + 3)
Determine h so that 2*h**3/9 + 4*h**2 - 2*h/9 - 4 = 0.
-18, -1, 1
Let 2*s**3 + 3314*s**2 = 0. Calculate s.
-1657, 0
Factor 2*s**4 - 130*s**3 + 1062*s**2 - 3078*s + 3024.
2*(s - 56)*(s - 3)**3
Factor 16*a**2 + 132*a - 108.
4*(a + 9)*(4*a - 3)
Find t, given that -2*t**3/7 + 10*t**2/7 - 2*t + 6/7 = 0.
1, 3
Factor 4*c**3 - 8*c**2 - 20*c + 24.
4*(c - 3)*(c - 1)*(c + 2)
Find d such that -137288*d**2/3 + 1048*d/3 - 2/3 = 0.
1/262
Find d, given that -105*d**5 + 183*d**4 + 54*d**3 = 0.
-9/35, 0, 2
Suppose 5*a**3 + 845*a**2 - 3440*a + 3460 = 0. What is a?
-173, 2
Determine p, given that 5*p**3 - 205*p**2 + 390*p = 0.
0, 2, 39
Determine v so that 2*v**5 + 128*v**4/11 + 64*v**3/11 - 148*v**2/11 - 86*v/11 + 20/11 = 0.
-5, -1, 2/11, 1
Factor 2*v**2 + 6120*v + 4681800.
2*(v + 1530)**2
Determine d so that d**5/4 + 5*d**4/2 - 27*d**3/2 - 53*d**2 - 227*d/4 - 39/2 = 0.
-13, -1, 6
What is f in -f**5/4 - 13*f**4/4 + 16*f**3 + 250*f**2 - 300*f - 4500 = 0?
-10, -5, 6
Factor 2*s**3 + 84*s**2 - 174*s + 88.
2*(s - 1)**2*(s + 44)
Factor -20*d**2/3 + 232*d + 288.
-4*(d - 36)*(5*d + 6)/3
Factor 3*o**2 + 39*o - 690.
3*(o - 10)*(o + 23)
Suppose -24*w**4/19 + 2*w**3/19 + 96*w**2/19 - 8*w/19 = 0. What is w?
-2, 0, 1/12, 2
Factor -6*k**2/5 - 39312*k/5 - 64393056/5.
-6*(k + 3276)**2/5
What is f in -2*f**4/3 - 56*f**3/3 + 598*f**2/3 + 6348*f = 0?
-23, 0, 18
Let -z**2/7 + 130*z/7 + 57 = 0. What is z?
-3, 133
Factor 3*z**2/4 - 30*z + 300.
3*(z - 20)**2/4
Factor 4776*v**2/7 - 1098*v/7 - 24/7.
6*(4*v - 1)*(199*v + 4)/7
Suppose 2*m**4 - 304*m**3 - 308*m**2 + 304*m + 306 = 0. What is m?
-1, 1, 153
Factor 2*w**3/3 - 24*w**2 - 488*w/3 - 224.
2*(w - 42)*(w + 2)*(w + 4)/3
Suppose -8*w**2 - 382*w + 96 = 0. Calculate w.
-48, 1/4
Find v, given that v**3/4 + 35*v**2/4 - v/4 - 35/4 = 0.
-35, -1, 1
Solve -o**4 + 17*o**3 + 20*o**2 - 36*o = 0.
-2, 0, 1, 18
Determine c so that 2*c**4/15 + 28*c**3/15 + 10*c**2/3 + 8*c/5 = 0.
-12, -1, 0
What is m in 2*m**4/19 - 270*m**3/19 + 14*m**2 + 270*m/19 - 268/19 = 0?
-1, 1, 134
Factor -2*r**4 - 30*r**3 - 126*r**2 - 98*r.
-2*r*(r + 1)*(r + 7)**2
Suppose -2*g**2/19 + 8*g/19 + 5194/19 = 0. Calculate g.
-49, 53
What is m in 25*m**2/4 + 210*m - 85 = 0?
-34, 2/5
Factor -i**2/9 - 1762*i/9 - 776161/9.
-(i + 881)**2/9
Factor -2*c**4/5 + 66*c**3/5 - 576*c**2/5 + 512*c/5.
-2*c*(c - 16)**2*(c - 1)/5
Solve -84*n**5 - 64*n**4 + 188*n**3 - 40*n**2 = 0 for n.
-2, 0, 5/21, 1
What is s in 2*s**3/3 + 16*s**2 + 46*s/3 = 0?
-23, -1, 0
Let 2*p**5 + 30*p**4 + 116*p**3 + 168*p**2 + 80*p = 0. Calculate p.
-10, -2, -1, 0
Solve l**4/4 - 41*l**3 + 4455*l**2/2 - 39325*l - 166375/4 = 0.
-1, 55
Suppose -z**3/6 - 11*z**2/6 - 16*z/3 - 14/3 = 0. What is z?
-7, -2
Factor -3*w**4 + 12*w**3 + 9*w**2 - 42*w + 24.
-3*(w - 4)*(w - 1)**2*(w + 2)
What is b in -b**2/3 + 4*b/3 - 1 = 0?
1, 3
What is r in r**3 + 75*r**2 - 153*r + 77 = 0?
-77, 1
Factor -2*k**2/5 + 26*k/5 + 28/5.
-2*(k - 14)*(k + 1)/5
What is a in a**3/5 - 3*a**2 + 59*a/5 - 9 = 0?
1, 5, 9
Let 15*z**3 - 3*z**2 - 60*z + 12 = 0. What is z?
-2, 1/5, 2
Factor -5*m**2/4 + 725*m/4 - 180.
-5*(m - 144)*(m - 1)/4
Determine r so that -4*r**4 + 128*r**3 - 736*r**2 - 4608*r - 5184 = 0.
-2, 18
Find w, given that -w**5/4 + 23*w**4/2 - 479*w**3/4 - 599*w**2/2 + 120*w + 288 = 0.
-2, -1, 1, 24
Determine m so that -70*m**2 - 205*m + 15 = 0.
-3, 1/14
Find v such that -5*v**2 - 10*v + 75 = 0.
-5, 3
Find q such that 2*q**5/3 - 22*q**4 + 260*q**3 - 3800*q**2/3 + 2000*q = 0.
0, 3, 10
Factor -2*o**2 - 288*o - 568.
-2*(o + 2)*(o + 142)
Determine k so that 5*k**5 + 10*k**4 - 25*k**3 - 30*k**2 = 0.
-3, -1, 0, 2
Suppose 36*b**4 + 726*b**3 + 112*b**2 - 162*b - 40 = 0. What is b?
-20, -1/3, 1/2
Determine w so that 2*w**5/15 - 46*w**4/5 + 52*w**3/3 + 36*w**2 - 262*w/15 - 134/5 = 0.
-1, 1, 3, 67
Find i, given that 4*i**5 + 140*i**4 - 1116*i**3 + 2468*i**2 - 2168*i + 672 = 0.
-42, 1, 4
Factor 2*l**3/3 + 8*l**2 - 122*l/3 + 32.
2*(l - 3)*(l - 1)*(l + 16)/3
Suppose -3*y**3 + 15*y**2 - 12*y = 0. Calculate y.
0, 1, 4
Factor 2*g**4/3 - 20*g**3/3 + 14*g**2/3 + 12*g.
2*g*(g - 9)*(g - 2)*(g + 1)/3
Find z such that -2*z**5/5 - 22*z**4/5 - 14*z**3 - 10*z**2 = 0.
-5, -1, 0
Find j such that -2*j**3 - 4*j**2 + 6*j = 0.
-3, 0, 1
Solve 7442*z**2/7 + 488*z/7 + 8/7 = 0.
-2/61
Factor 5*l**2 + 25*l - 30.
5*(l - 1)*(l + 6)
Factor 4*w**3 + 452*w**2 + 12992*w + 12544.
4*(w + 1)*(w + 56)**2
Factor -2*u**3/5 - 14*u**2/5 - 12*u/5.
-2*u*(u + 1)*(u + 6)/5
Find o, given that -o**3 + 387*o**2 - 49923*o + 2146689 = 0.
129
Factor h**3/7 + 11*h**2/7 - 2*h - 24/7.
(h - 2)*(h + 1)*(h + 12)/7
Factor 5*o**3 + 95*o**2 + 555*o + 945.
5*(o + 3)*(o + 7)*(o + 9)
Let -2*j**3/17 - 80*j**2/17 - 426*j/17 - 36 = 0