7, 1
Factor a**2/3 + 5*a/3 - 14/3.
(a - 2)*(a + 7)/3
Determine k so that 64*k**4 - 2720*k**3/3 + 4356*k**2 - 7812*k + 3528 = 0.
2/3, 3, 21/4
Factor h**3/5 + 401*h**2 - h/5 - 401.
(h - 1)*(h + 1)*(h + 2005)/5
Factor -u**3 - 9*u**2 - 15*u - 7.
-(u + 1)**2*(u + 7)
Determine m so that -155*m**2/6 + 617*m/6 + 2 = 0.
-3/155, 4
Let -2*u**5 - 12*u**4 - 17*u**3/2 + 17*u**2/2 + 9*u/2 - 5/2 = 0. Calculate u.
-5, -1, 1/2
Solve 3*u**4/7 + 15*u**3/7 - 51*u**2/7 - 9*u = 0.
-7, -1, 0, 3
Factor 2*h**3/9 - 3314*h**2/3 + 5491298*h/3 - 9099080786/9.
2*(h - 1657)**3/9
Factor z**2/2 + 128*z + 8192.
(z + 128)**2/2
Factor l**5 - 5141*l**4 + 8808246*l**3 - 5026568956*l**2 - 5035382344*l.
l*(l - 1714)**3*(l + 1)
Find b such that 363*b**3 - 132*b**2 + 12*b = 0.
0, 2/11
Solve 3*x**3 - 21*x**2 - 51*x - 27 = 0 for x.
-1, 9
Suppose -3*p**4 + 129*p**3 + 3*p**2 - 129*p = 0. Calculate p.
-1, 0, 1, 43
Factor -q**2/9 + 404*q/9 - 40804/9.
-(q - 202)**2/9
Suppose -g**2/4 - 7*g/4 + 2 = 0. What is g?
-8, 1
Factor -c**3 - 47*c**2 - 91*c - 45.
-(c + 1)**2*(c + 45)
Find s such that 3*s**3/5 + 798*s**2/5 - 819*s/5 - 4806/5 = 0.
-267, -2, 3
Factor -d**3 - 16*d**2 - 29*d - 14.
-(d + 1)**2*(d + 14)
Determine b so that -b**2/3 - 28*b/3 - 196/3 = 0.
-14
Factor 2*h**4/11 + 10*h**3 - 228*h**2/11.
2*h**2*(h - 2)*(h + 57)/11
Suppose m**5 - 19*m**4 - 46*m**3 + 82*m**2 + 45*m - 63 = 0. Calculate m.
-3, -1, 1, 21
What is j in -j**5/6 - 41*j**4/3 - 250*j**3 + 3913*j**2/3 + 9245*j/6 = 0?
-43, -1, 0, 5
Factor j**3/2 - 33*j**2 + 726*j - 5324.
(j - 22)**3/2
Find t, given that 2*t**5/11 + 20*t**4/11 - 28*t**3/11 - 64*t**2/11 + 26*t/11 + 4 = 0.
-11, -1, 1, 2
Suppose 17161*a**3 + 137550*a**2 + 2097*a + 8 = 0. Calculate a.
-8, -1/131
Factor 2*y**3 - 46*y**2/5 + 8*y + 24/5.
2*(y - 3)*(y - 2)*(5*y + 2)/5
Determine m so that -2000*m**4/3 + 10600*m**3/3 - 1020*m**2 + 302*m/3 - 10/3 = 0.
1/10, 5
Find f such that -f**4/4 - 741*f**3/4 - 2217*f**2/4 - 2215*f/4 - 369/2 = 0.
-738, -1
Factor 4*d**4 - 304*d**3 - 1604*d**2 - 1296*d.
4*d*(d - 81)*(d + 1)*(d + 4)
Determine t so that -2*t**5 + 3034*t**4/7 - 23198*t**3 - 219082*t**2/7 + 283400*t/7 + 95048/7 = 0.
-2, -2/7, 1, 109
Suppose 3*u**3 + 21*u**2 - 1176*u + 1152 = 0. Calculate u.
-24, 1, 16
Factor -5*m**2 + 25*m + 6630.
-5*(m - 39)*(m + 34)
Find c such that -c**2 - 126*c + 127 = 0.
-127, 1
Suppose n**3/4 - 4*n**2 + 45*n/4 + 81/2 = 0. Calculate n.
-2, 9
Factor -g**3/4 - 11*g**2/2 - 141*g/4 - 63.
-(g + 3)*(g + 7)*(g + 12)/4
Factor -4*u**4 - 12*u**3 + 92*u**2 - 132*u + 56.
-4*(u - 2)*(u - 1)**2*(u + 7)
Solve -2*w**5 - 438*w**4 - 23760*w**3 + 24200*w**2 = 0 for w.
-110, 0, 1
Suppose -4*p**5 - 36*p**4 - 104*p**3 - 80*p**2 + 96*p + 128 = 0. What is p?
-4, -2, 1
Factor -2*h**2/5 + 232*h - 33640.
-2*(h - 290)**2/5
Determine y, given that -4*y**3 - 20*y**2/3 + 32*y/3 = 0.
-8/3, 0, 1
Find t, given that 12*t**3 + 201*t**2 - 51*t = 0.
-17, 0, 1/4
Determine z so that 4*z**2 - 3944*z = 0.
0, 986
Factor 2*r**4/3 - 20*r**3/3 + 18*r**2 - 12*r.
2*r*(r - 6)*(r - 3)*(r - 1)/3
Suppose -4*t**2/3 - 334*t/9 + 56/9 = 0. What is t?
-28, 1/6
Let 14*h**4 + 24*h**3 - 302*h**2 + 336*h - 72 = 0. What is h?
-6, 2/7, 1, 3
Factor -q**5/3 + 7*q**4 + 22*q**3/3.
-q**3*(q - 22)*(q + 1)/3
Factor -7*a**2/4 - 10*a + 3.
-(a + 6)*(7*a - 2)/4
Solve 2*h**4 + 12*h**3 + 18*h**2 - 8*h - 24 = 0.
-3, -2, 1
Suppose -q**5/4 + 3*q**4/4 - q**2 = 0. What is q?
-1, 0, 2
Let -5*r**2 + 3435*r = 0. What is r?
0, 687
Factor 5*o**4 + 30*o**3 + 55*o**2 + 30*o.
5*o*(o + 1)*(o + 2)*(o + 3)
Suppose -w**3 + 3*w**2 + 4*w = 0. Calculate w.
-1, 0, 4
Factor -5*n**2 + 25*n + 180.
-5*(n - 9)*(n + 4)
Suppose 4*l**5 - 4*l**4 - 508*l**3 + 1444*l**2 + 504*l - 1440 = 0. What is l?
-12, -1, 1, 3, 10
Suppose -110*m**3/3 + 295*m**2/3 + 115*m/3 - 10 = 0. Calculate m.
-1/2, 2/11, 3
Factor 4*f**3/9 + 758*f**2/9 + 42*f.
2*f*(f + 189)*(2*f + 1)/9
Factor 3*u**3/5 + 18*u**2/5 - 96/5.
3*(u - 2)*(u + 4)**2/5
Factor -2*o**4/7 - 48*o**3/7 - 54*o**2 - 972*o/7.
-2*o*(o + 6)*(o + 9)**2/7
Suppose 3*p**3 - 12*p**2 - 453*p + 462 = 0. What is p?
-11, 1, 14
Find h such that -h**4/2 + 3*h**3/2 - h**2 = 0.
0, 1, 2
Let 28*u**3 - 96*u**2 - 64*u = 0. What is u?
-4/7, 0, 4
Solve -2*g**2 + 90*g + 92 = 0.
-1, 46
What is g in -7*g**5 - 22*g**4 + 12*g**3/7 + 90*g**2/7 - 27*g/7 = 0?
-3, -1, 0, 3/7
Factor 4*t**5 + 312*t**4 - 640*t**3 + 8*t**2 + 636*t - 320.
4*(t - 1)**3*(t + 1)*(t + 80)
Find o, given that 15*o**3/2 + 25*o**2/2 + 5*o = 0.
-1, -2/3, 0
Suppose 2*b**4/13 - 134*b**3/13 + 514*b**2/13 - 634*b/13 + 252/13 = 0. What is b?
1, 2, 63
Factor -n**4 + 3*n**3 + 4*n**2.
-n**2*(n - 4)*(n + 1)
Find o such that -3*o**2/8 - 131*o/4 + 22 = 0.
-88, 2/3
Factor -b**4/3 - 3*b**3 - 7*b**2 - 19*b/3 - 2.
-(b + 1)**3*(b + 6)/3
Factor -2*w**3/7 - 1620*w**2/7 - 437400*w/7 - 39366000/7.
-2*(w + 270)**3/7
Determine c, given that -c**5/5 + 249*c**4/5 + 1006*c**3/5 + 1514*c**2/5 + 1011*c/5 + 253/5 = 0.
-1, 253
Find l, given that 7*l**3/3 + l**2/3 - 2*l = 0.
-1, 0, 6/7
Factor -4*s**2 + 56*s + 60.
-4*(s - 15)*(s + 1)
What is q in q**3/5 + 63*q**2 + 6615*q + 231525 = 0?
-105
Factor -c**3/8 + 63*c**2/8.
-c**2*(c - 63)/8
Let -2*g**4 - 48*g**3 - 186*g**2 + 524*g - 288 = 0. Calculate g.
-18, -8, 1
Factor 2*s**2 - 10*s + 8.
2*(s - 4)*(s - 1)
Determine p, given that -2*p**5 + 80*p**4/7 - 88*p**3/7 - 116*p**2/7 + 102*p/7 + 36/7 = 0.
-1, -2/7, 1, 3
Factor -2*i**3/17 - 5740*i**2/17 + 11486*i/17 - 5744/17.
-2*(i - 1)**2*(i + 2872)/17
Let -3*b**3 + 171*b**2 - 3249*b + 20577 = 0. What is b?
19
Factor -2*v**4/15 - 2*v**3/15 + 6*v**2/5 - 22*v/15 + 8/15.
-2*(v - 1)**3*(v + 4)/15
Determine t, given that t**3/2 + 17*t**2 + 84*t = 0.
-28, -6, 0
Determine s, given that 3*s**2 + 168*s + 624 = 0.
-52, -4
Factor g**3/2 + 49*g**2/2 + 399*g/2 + 351/2.
(g + 1)*(g + 9)*(g + 39)/2
Let 2*j**5/3 + 2*j**4 - 2*j**3 - 14*j**2/3 + 4*j = 0. Calculate j.
-3, -2, 0, 1
Determine k so that 14*k**3/3 + 92*k**2/3 + 58*k + 24 = 0.
-3, -4/7
Factor -6*f**5 + 27*f**4 - 45*f**3 + 33*f**2 - 9*f.
-3*f*(f - 1)**3*(2*f - 3)
Factor -16*n**3 - 108*n**2 - 96*n + 320.
-4*(n + 4)**2*(4*n - 5)
Solve -4*q**4/9 - 398*q**3/9 - 150*q**2 - 64*q = 0.
-96, -3, -1/2, 0
Suppose h**5/2 - 25*h**4/2 + 183*h**3/2 - 263*h**2/2 - 374*h + 726 = 0. Calculate h.
-2, 2, 3, 11
Determine g so that g**2 - 104*g + 204 = 0.
2, 102
Factor 3*k**4 - 9*k**3 - 3*k**2 + 9*k.
3*k*(k - 3)*(k - 1)*(k + 1)
What is k in -3*k**5 - 63*k**4 - 60*k**3 = 0?
-20, -1, 0
Factor -h**3 + 828*h**2 - 228528*h + 21024576.
-(h - 276)**3
Solve -5*w**4 - 105*w**3 - 610*w**2 - 300*w + 3960 = 0.
-11, -6, 2
Factor -4*b**4 + 16*b**3 + 4*b**2 - 16*b.
-4*b*(b - 4)*(b - 1)*(b + 1)
Find g, given that 11*g**2/3 + 90*g + 48 = 0.
-24, -6/11
Factor 2*a**2/3 - 22*a/3.
2*a*(a - 11)/3
Factor -34*q**4/5 - 86*q**3/5 - 54*q**2/5 + 14*q/5 + 16/5.
-2*(q + 1)**3*(17*q - 8)/5
Factor -h**2/4 - 17*h/4 + 55/2.
-(h - 5)*(h + 22)/4
Factor -3*i**5 + 6*i**3 - 3*i.
-3*i*(i - 1)**2*(i + 1)**2
Determine u, given that -4*u**5 - 20*u**4 - 21*u**3 + 16*u**2 + 23*u + 6 = 0.
-3, -2, -1/2, 1
Factor 5*b**3 - 5*b.
5*b*(b - 1)*(b + 1)
Factor z**2/10 - 213*z/5 - 3031/10.
(z - 433)*(z + 7)/10
Suppose 8*x**5 + 8*x**4 - 18*x**3 - 2*x**2 + 4*x = 0. Calculate x.
-2, -1/2, 0, 1/2, 1
Factor -3*w**2 + 23064*w - 44329008.
-3*(w - 3844)**2
Factor -n**3 + 47*n**2 + 160*n - 500.
-(n - 50)*(n - 2)*(n + 5)
Let 2*k**4 + 98*k**3 - 6*k**2 - 298*k - 196 = 0. Calculate k.
-49, -1, 2
Factor -3*r**3 + 78*r**2 - 375*r + 300.
-3*(r - 20)*(r - 5)*(r - 1)
What is l in 3*l**2/8 + 1479*l/2 + 729147/2 = 0?
-986
Factor -r**2/6 - 49*r/3 + 33/2.
-(r - 1)*(r + 99)/6
Factor -2*o**2 + 96*o - 1152.
-2*(o - 24)**2
Find y, given that -y**4/8 - 25*y**3/8 + 7*y**2/8 + 181*y/8 + 75/4 = 0.
-25, -2, -1, 3
What is s in -s**2/4 - 151*s/2 - 897/4 = 0?
-299, -3
Factor -r**3/3 + 8*r**2/3 + 112*r/3 + 256/3.
-(r - 16)*(r + 4)**2/3
Suppose -3*k**3 - 249*k**2 - 228*k + 1476 = 0. Calculate k.
-82, -3, 2
Solve 3*q**4/4 - 381*q**3/4 + 1125*q**2/4 - 1119*q/4 + 93 = 0 for q.
1, 124
Factor -4*g**4 - 88*g**3 - 164*g**2 - 80*g.
-4*g*(g + 1)**2*(g + 20)
Solve 5*g**5 + 2735*g**4 + 10890*g**3 + 16310*g**2 + 10865*g + 2715 = 0 for g.
-543, -1
Factor 20*h**3 - 1205*h**2 + 1480*h - 295.
5*(h - 59)*(h - 1)*(4*h - 1)
Solve 4*w**3 - 180*w**2 + 348*w - 172 = 0.
1, 43
What is a in -a**2/4 - 43*a/4 = 0?
-43