a**3/4 + 4*a**2 + 59*a/4 + 11 = 0 for a.
-11, -4, -1
Find l such that -3*l**4 - 63*l**3 - 336*l**2 - 612*l - 336 = 0.
-14, -4, -2, -1
Factor -5*v**2 + 90*v - 405.
-5*(v - 9)**2
Factor -q**4/4 + 5*q**3/2 + 11*q**2/4 - 45*q.
-q*(q - 9)*(q - 5)*(q + 4)/4
Factor 3*u**5/7 - 69*u**4/7 + 27*u**3 - 183*u**2/7 + 60*u/7.
3*u*(u - 20)*(u - 1)**3/7
What is q in q**5/2 - 16*q**4 - 103*q**3/2 - 35*q**2 = 0?
-2, -1, 0, 35
Find z, given that -2*z**2/7 - 1648*z/7 - 339488/7 = 0.
-412
Factor -2*v**3/19 - 18*v**2/19 + 72*v/19.
-2*v*(v - 3)*(v + 12)/19
Suppose -3*g**5 - 59*g**4/4 - 39*g**3/2 - 6*g**2 + 5*g/2 + 3/4 = 0. What is g?
-3, -1, -1/4, 1/3
Factor 2*h**4 - 54*h**3 + 102*h**2 - 50*h.
2*h*(h - 25)*(h - 1)**2
Factor u**2/4 + 1789*u/2 + 3200521/4.
(u + 1789)**2/4
What is h in 2*h**4 - 356*h**3/5 - 144*h**2/5 = 0?
-2/5, 0, 36
Let 3*f**4 + 78*f**3 - 360*f**2 = 0. What is f?
-30, 0, 4
What is i in 4*i**2 - 164*i + 160 = 0?
1, 40
Factor 4*w**4 - 192*w**3 - 600*w**2 - 608*w - 204.
4*(w - 51)*(w + 1)**3
Suppose 7203*m**5/4 - 53508*m**4 + 269010*m**3 - 550200*m**2 + 511500*m - 180000 = 0. What is m?
10/7, 24
Factor 2*p**2/19 - 78*p/19.
2*p*(p - 39)/19
Determine b, given that b**4/3 + b**3/3 - 16*b**2/3 + 20*b/3 = 0.
-5, 0, 2
Find y, given that 9*y**5 + 60*y**4 - 30*y**3 - 600*y**2 - 339*y + 180 = 0.
-5, -4, -1, 1/3, 3
Determine r, given that -r**3/5 - 6*r**2 + 99*r/5 = 0.
-33, 0, 3
Factor -q**3/4 + 10*q**2 + 43*q + 44.
-(q - 44)*(q + 2)**2/4
Factor 2*u**2/7 - 156*u/7 + 450/7.
2*(u - 75)*(u - 3)/7
Find r such that 2*r**5/5 + 808*r**4/5 + 79978*r**3/5 - 328852*r**2/5 + 414528*r/5 - 166464/5 = 0.
-204, 1, 2
Find k such that 5*k**3/3 + 10*k**2 - 160/3 = 0.
-4, 2
Suppose b**4/2 + b**3/2 - 13*b**2/2 - 25*b/2 - 6 = 0. Calculate b.
-3, -1, 4
Factor -4*w**4 - 32*w**3 - 24*w**2 + 32*w + 28.
-4*(w - 1)*(w + 1)**2*(w + 7)
Factor p**3/2 + 19*p**2/2 + 6*p - 54.
(p - 2)*(p + 3)*(p + 18)/2
Suppose -o**2/5 - 32*o/5 + 2244/5 = 0. What is o?
-66, 34
Determine g, given that -5*g**5/3 + 30*g**4 + 5*g**3/3 - 30*g**2 = 0.
-1, 0, 1, 18
Determine g so that -g**2 + 86*g + 87 = 0.
-1, 87
Factor -2*p**3/5 - 44*p**2/5 - 42*p.
-2*p*(p + 7)*(p + 15)/5
Factor -2*k**4/13 - 4*k**3/13 + 6*k**2/13.
-2*k**2*(k - 1)*(k + 3)/13
Solve -4*m**5 + 240*m**4 - 908*m**3 + 656*m**2 + 912*m - 896 = 0.
-1, 1, 2, 56
Factor 2*i**5 - 18*i**4 + 58*i**3 - 78*i**2 + 36*i.
2*i*(i - 3)**2*(i - 2)*(i - 1)
Solve 4*x**2/3 + 16*x/3 + 16/3 = 0.
-2
Factor 3*y**2/5 - 96*y/5 - 99/5.
3*(y - 33)*(y + 1)/5
Factor 6*d**3 - 8*d**2 + 2*d.
2*d*(d - 1)*(3*d - 1)
Factor s**4/7 + 61*s**3/7 + 1011*s**2/7 + 2291*s/7 - 3364/7.
(s - 1)*(s + 4)*(s + 29)**2/7
Let -2*p**2/7 + 346*p/7 + 100 = 0. What is p?
-2, 175
Suppose 4*q**2/3 + 392*q/3 + 9604/3 = 0. What is q?
-49
Find r such that -2*r**3/3 - 4*r**2/3 + 2*r = 0.
-3, 0, 1
Factor 14*m**3/5 + 18*m**2/5 - 164*m/5 - 48/5.
2*(m - 3)*(m + 4)*(7*m + 2)/5
What is o in -2*o**2/13 - 2220*o/13 + 8912/13 = 0?
-1114, 4
Determine y, given that -y**2 - 63*y/2 - 31/2 = 0.
-31, -1/2
Factor -2*p**3/3 - 12*p**2 + 170*p/3 - 44.
-2*(p - 3)*(p - 1)*(p + 22)/3
Solve -x**2/2 - 9*x/2 + 5 = 0 for x.
-10, 1
Find h, given that 5*h**5 + 75*h**4 + 305*h**3 - 15*h**2 - 1210*h + 840 = 0.
-7, -6, -4, 1
Factor -v**3 - 26*v**2 + 117*v - 90.
-(v - 3)*(v - 1)*(v + 30)
Factor 2*p**2/9 - 340*p/9 + 14450/9.
2*(p - 85)**2/9
Factor -d**3 - 2*d**2.
-d**2*(d + 2)
Factor y**2 - 305*y/2 + 76.
(y - 152)*(2*y - 1)/2
Find q, given that -3*q**2 - 4824*q - 1939248 = 0.
-804
Determine b, given that b**4 - 3*b**2 - 2*b = 0.
-1, 0, 2
Solve 7*m**3/8 + 4097*m**2/8 + 585*m/4 = 0 for m.
-585, -2/7, 0
Factor 4*q**2/21 - 2*q/3 - 20/7.
2*(q - 6)*(2*q + 5)/21
Suppose 4*h**4 + 72*h**3 - 156*h**2 + 80*h = 0. What is h?
-20, 0, 1
Factor -q**4/4 + 195*q**3 - 114075*q**2/2 + 7414875*q - 1445900625/4.
-(q - 195)**4/4
Factor -2*d**2/13 + 2670*d/13.
-2*d*(d - 1335)/13
Solve h**4/2 - 213*h**3/4 - 28*h**2 + 537*h/4 - 107/2 = 0 for h.
-2, 1/2, 1, 107
Factor m**3/4 + 171*m**2/2 + 1019*m/4 + 339/2.
(m + 1)*(m + 2)*(m + 339)/4
What is b in -b**3/2 - 19*b**2/2 + 545*b/2 - 525/2 = 0?
-35, 1, 15
Solve 2*y**3/11 + 24*y**2/11 + 82*y/11 + 84/11 = 0 for y.
-7, -3, -2
Factor -y**5 + 18*y**4 - 16*y**3 - 18*y**2 + 17*y.
-y*(y - 17)*(y - 1)**2*(y + 1)
Factor f**2/7 - 654*f/7 + 106929/7.
(f - 327)**2/7
Find x such that -18*x**3 - 1318*x**2 - 5260*x - 1104 = 0.
-69, -4, -2/9
Factor -3*u**2 + 225*u + 2268.
-3*(u - 84)*(u + 9)
Factor -k**2 - 15*k + 34.
-(k - 2)*(k + 17)
Factor -3*b**2/4 - 30333*b/2 - 306696963/4.
-3*(b + 10111)**2/4
Factor -3*f**2/4 - 528*f + 2115/4.
-3*(f - 1)*(f + 705)/4
Factor 5*g**5 - 75*g**3 + 50*g**2 + 300*g - 360.
5*(g - 2)**3*(g + 3)**2
Let -12*i**2 - 424*i + 288 = 0. What is i?
-36, 2/3
Factor 4*o**2/5 - 36*o/5 + 72/5.
4*(o - 6)*(o - 3)/5
Suppose -5*c**4 + 40*c**3 - 105*c**2 + 90*c = 0. What is c?
0, 2, 3
Let -28*p**5 - 148*p**4 + 1052*p**3 + 7732*p**2 + 11920*p + 2800 = 0. Calculate p.
-5, -2, -2/7, 7
Factor s**2/3 + 19348*s/3 + 93586276/3.
(s + 9674)**2/3
Factor 122825*q**3 + 8670*q**2 + 204*q + 8/5.
(85*q + 2)**3/5
Factor -g**4/6 - 17*g**3/6 - 40*g**2/3 - 32*g/3.
-g*(g + 1)*(g + 8)**2/6
Factor -20*l**2 - 455*l + 115.
-5*(l + 23)*(4*l - 1)
Solve -8*g**4/9 - 10*g**3/9 + 14*g**2 + 160*g/9 + 32/9 = 0.
-4, -1, -1/4, 4
Find t such that 22*t**5/13 - 18*t**4/13 - 70*t**3/13 + 98*t**2/13 - 24*t/13 - 8/13 = 0.
-2, -2/11, 1
Find f, given that f**5/4 + 3*f**4/4 - 9*f**3/2 - 43*f**2/2 - 111*f/4 - 45/4 = 0.
-3, -1, 5
Factor 2*r**2 - 162*r + 160.
2*(r - 80)*(r - 1)
Find b such that -3*b**5/5 - 33*b**4/5 - 9*b**3 + 21*b**2 + 228*b/5 + 108/5 = 0.
-9, -2, -1, 2
Factor o**2 + 13021*o/4 + 3255/4.
(o + 3255)*(4*o + 1)/4
Factor -z**4 + 13*z**3 - 60*z**2 + 112*z - 64.
-(z - 4)**3*(z - 1)
Factor 2*k**3 + 2808*k**2 + 988410*k + 1965604.
2*(k + 2)*(k + 701)**2
Solve 3*j**5 - 3*j**4 - 12*j**3 + 12*j**2 = 0 for j.
-2, 0, 1, 2
Suppose -2*y**5 - y**4 + 6*y**3 + 4*y**2 - 4*y - 3 = 0. What is y?
-1, 1, 3/2
Factor -3*y**3 + 69*y**2 + 72*y.
-3*y*(y - 24)*(y + 1)
Suppose -2*t**5/3 + 22*t**4/3 = 0. What is t?
0, 11
Factor -2*c**2/11 - 2*c/11 + 4/11.
-2*(c - 1)*(c + 2)/11
Find g, given that 3*g**4 - 24*g**3 + 45*g**2 + 24*g - 48 = 0.
-1, 1, 4
Solve -3*x**4/5 - 6*x**3 - 108*x**2/5 - 162*x/5 - 81/5 = 0.
-3, -1
Suppose 34*c**2/5 + 132*c/5 - 16/5 = 0. Calculate c.
-4, 2/17
Factor 35*t**4 - 270*t**3 + 620*t**2 - 360*t - 160.
5*(t - 4)*(t - 2)**2*(7*t + 2)
Factor c**3/6 - c**2 - 7*c/6 + 10.
(c - 5)*(c - 4)*(c + 3)/6
Factor -2*m**2 + 110*m/3 - 12.
-2*(m - 18)*(3*m - 1)/3
Find l such that -l**2 - 18*l - 17 = 0.
-17, -1
Factor -k**4/4 - 469*k**3 - 2808*k**2 - 5612*k - 3740.
-(k + 2)**3*(k + 1870)/4
Factor -2*i**4 - 188*i**3 - 728*i**2 - 720*i.
-2*i*(i + 2)**2*(i + 90)
Determine j, given that -6*j**3/5 - 64*j**2/5 - 166*j/5 - 84/5 = 0.
-7, -3, -2/3
Factor i**4/7 - 6*i**3 + 193*i**2/7 - 300*i/7 + 148/7.
(i - 37)*(i - 2)**2*(i - 1)/7
Find c, given that c**3 + c**2 - c - 1 = 0.
-1, 1
Factor -s**2/6 + 39*s/2 + 59/3.
-(s - 118)*(s + 1)/6
Factor -2*a**3 - 52*a**2 + 112*a.
-2*a*(a - 2)*(a + 28)
Factor -21*t**3/2 + 5*t**2/4 + t/2.
-t*(6*t + 1)*(7*t - 2)/4
Factor -z**5 + 5*z**4 + 14*z**3 + 2*z**2 - 13*z - 7.
-(z - 7)*(z - 1)*(z + 1)**3
Determine u, given that -2*u**2/15 - 2*u/3 + 28/15 = 0.
-7, 2
Determine d, given that 2*d**3/7 + 10*d**2/7 - 208*d/7 = 0.
-13, 0, 8
Factor 3*d**2/5 + 246*d/5 - 249/5.
3*(d - 1)*(d + 83)/5
Factor -x**3 - 7*x**2 + 8*x.
-x*(x - 1)*(x + 8)
Solve 3*x**4/5 - 6*x**3/5 - 27*x**2/5 + 6*x/5 + 24/5 = 0 for x.
-2, -1, 1, 4
Factor -2*p**2 - 10*p - 8.
-2*(p + 1)*(p + 4)
Factor x**3/2 - 3*x**2 - 25*x/2 - 9.
(x - 9)*(x + 1)*(x + 2)/2
Factor 9*c**3/5 + 15*c**2 - 72*c/5 - 1188/5.
3*(c + 6)**2*(3*c - 11)/5
Determine r, given that r**5/4 + 5*r**4/4 + 3*r**3/2 - r**2/2 - 7*r/4 - 3/4 = 0.
-3, -1, 1
Factor -n**4/6 + 25*n**3/6 - 77*n**2/2 + 931*n/6 - 686/3.
-(n - 7)**3*(n - 4)/6
Let 2*w**5 + 2584*w**4 + 839784*w**3 + 3328192*w**2 + 3317888*w = 0. Calculate w.
-644, -2, 0
Factor -u**3 + 74*u**2 - 413*u + 340.
-(u - 68)*(u - 5)*(u - 1)
Solve 2*r**2 + 16*r + 24 = 0.
-6, -2
Determine u, given that 3*u**4/8 - 45*u**3/4 + 471*u**2/8 + 765*u/2 + 867/2 = 0.
-2, 17
Solve -242*y**2/13 - 244*y/13 - 2/13 = 0.
-1, -1/121
Determine k, given that -k**3 + 35*k**2 + 112*k + 76 = 0.
-2, -1, 38
Solve -2*i**2/3 + 186