
-5*(l - 7)*(l + 5)/4
Factor -2*t**4/3 + 2*t**3/3 + 56*t**2 - 928*t/3 + 1408/3.
-2*(t - 4)**3*(t + 11)/3
Factor -4*w**3 + 60*w**2 - 108*w - 972.
-4*(w - 9)**2*(w + 3)
Solve -4*s**2/7 + 41*s/7 + 33/7 = 0 for s.
-3/4, 11
Find n, given that n**3/4 + n**2/2 - 3*n/4 = 0.
-3, 0, 1
Suppose t**3/4 + t**2/2 = 0. What is t?
-2, 0
Factor p**2 - 1892*p + 894916.
(p - 946)**2
Factor 4*h**3 - 2328*h**2 + 451632*h - 29205536.
4*(h - 194)**3
Determine x, given that -3*x**4 + 3*x**3 + 6*x**2 = 0.
-1, 0, 2
Factor -4*y**2 + 4*y + 168.
-4*(y - 7)*(y + 6)
Solve -21*l**4 + 27*l**3 + 15*l**2 - 27*l + 6 = 0 for l.
-1, 2/7, 1
Factor 4*l**3 + 260*l**2 - 264*l.
4*l*(l - 1)*(l + 66)
Factor -5*j**3/3 + 50*j**2/3 - 115*j/3 + 70/3.
-5*(j - 7)*(j - 2)*(j - 1)/3
Suppose -a**4 + 44*a**3 + 187*a**2 + 238*a + 96 = 0. Calculate a.
-2, -1, 48
Factor -4*p**2 - 8*p + 140.
-4*(p - 5)*(p + 7)
Factor 2*h**3/7 + 120*h**2/7 + 1914*h/7 + 3364/7.
2*(h + 2)*(h + 29)**2/7
Suppose -6*y**4/7 + 874*y**3/7 - 32548*y**2/7 + 7488*y - 20736/7 = 0. What is y?
2/3, 1, 72
What is y in y**4/7 + 3*y**3 + 38*y**2/7 = 0?
-19, -2, 0
Solve -5*z**4 + 60*z**3 + 5*z**2 - 60*z = 0 for z.
-1, 0, 1, 12
Factor 20*a**2 - 1368*a + 544.
4*(a - 68)*(5*a - 2)
Factor -b**4/3 + b**3/3 + 16*b**2/3 - 16*b/3.
-b*(b - 4)*(b - 1)*(b + 4)/3
Determine d, given that -2*d**3 + 36*d**2 - 1728 = 0.
-6, 12
Let -21*q**2 + 435*q + 126 = 0. What is q?
-2/7, 21
Find o, given that -4*o**2/7 + 100*o/7 + 464/7 = 0.
-4, 29
What is a in a**5/4 + a**4/2 - a**3/2 - a**2 + a/4 + 1/2 = 0?
-2, -1, 1
Factor 256*b**3 - 736*b**2 - 95*b - 3.
(b - 3)*(16*b + 1)**2
Factor 2*n**4/11 - 596*n**3/11 + 45578*n**2/11 - 175224*n/11 + 172872/11.
2*(n - 147)**2*(n - 2)**2/11
Factor -2*g**4/5 - 2*g**3.
-2*g**3*(g + 5)/5
Solve -5*s**3/2 + 45*s**2/2 + 5*s/2 - 45/2 = 0.
-1, 1, 9
Determine u, given that -5*u**2 + 100*u + 480 = 0.
-4, 24
Suppose -c**5 - 2*c**4 + 6*c**3 + 8*c**2 - 5*c - 6 = 0. Calculate c.
-3, -1, 1, 2
Let 2*u**4/13 + 10*u**3/13 - 74*u**2/13 - 10*u/13 + 72/13 = 0. Calculate u.
-9, -1, 1, 4
Factor f**5 - 3*f**4 - 4*f**3 + 16*f**2 - 16.
(f - 2)**3*(f + 1)*(f + 2)
Solve c**4/3 - 142*c**3/3 + 1727*c**2 - 9940*c/3 + 4900/3 = 0.
1, 70
Solve 3*s**4/2 + 33*s**3 - 9*s**2/2 - 96*s + 66 = 0.
-22, -2, 1
Find t such that -2*t**4/7 + 36*t**3/7 - 58*t**2/7 - 96*t/7 = 0.
-1, 0, 3, 16
Factor 4*a**3 - 36*a**2 + 32*a.
4*a*(a - 8)*(a - 1)
What is y in 2*y**4 - 10*y**3 + 16*y**2 - 8*y = 0?
0, 1, 2
Factor 14*j**4 + 6*j**3 - 8*j**2.
2*j**2*(j + 1)*(7*j - 4)
Factor 2*l**3/3 - 24*l**2 + 216*l - 576.
2*(l - 24)*(l - 6)**2/3
Solve y**2/2 + 35*y + 612 = 0.
-36, -34
Determine v so that v**5/7 - 9*v**4/7 + 3*v**3 + v**2/7 - 30*v/7 = 0.
-1, 0, 2, 3, 5
Factor z**2/5 - 10*z + 49/5.
(z - 49)*(z - 1)/5
Suppose 10*y**5/3 - 7*y**4 - 10*y**3/3 + 25*y**2/3 - 4/3 = 0. What is y?
-1, -2/5, 1/2, 1, 2
Factor -2*g**2 + 934*g + 2820.
-2*(g - 470)*(g + 3)
Factor -t**4/5 + t**3 - 8*t**2/5 + 4*t/5.
-t*(t - 2)**2*(t - 1)/5
Factor -5*c**2 - 505*c - 500.
-5*(c + 1)*(c + 100)
Let -162*v**3 - 4443*v**2 + 2598*v - 168 = 0. What is v?
-28, 2/27, 1/2
Suppose -2*w**4/9 + 40*w**3/3 - 1676*w**2/9 - 1240*w/3 - 1922/9 = 0. What is w?
-1, 31
Let -d**5 - 6*d**4 + 17*d**3 + 78*d**2 + 56*d = 0. What is d?
-7, -2, -1, 0, 4
What is b in -4*b**3 + 72*b**2 + 4*b - 72 = 0?
-1, 1, 18
Solve 4*o**2 - 124*o - 1064 = 0 for o.
-7, 38
What is m in -m**2 + 7*m = 0?
0, 7
Factor -m**2 + 4191*m + 4192.
-(m - 4192)*(m + 1)
Factor 2*c**3 - 82*c**2 + 692*c + 1728.
2*(c - 27)*(c - 16)*(c + 2)
Factor 13*l**4 - 54*l**3 + 73*l**2 - 36*l + 4.
(l - 2)*(l - 1)**2*(13*l - 2)
Suppose -7*q**3/8 - 9*q**2/8 - q/4 = 0. What is q?
-1, -2/7, 0
Factor -2*i**4 - 20*i**3 + 104*i**2 - 112*i.
-2*i*(i - 2)**2*(i + 14)
Factor -3*u**4/4 + 7*u**3/4 - u.
-u*(u - 2)*(u - 1)*(3*u + 2)/4
Suppose -2*s**5/19 - 4*s**4/19 - 2*s**3/19 = 0. Calculate s.
-1, 0
Suppose -q**5/7 - 68*q**4/7 + 2*q**3/7 + 136*q**2/7 - q/7 - 68/7 = 0. Calculate q.
-68, -1, 1
Solve 3*a**2/7 + 54*a/7 + 51/7 = 0.
-17, -1
Solve -12*a**3 + 316*a**2/3 + 24*a = 0.
-2/9, 0, 9
Solve 3*l**2/4 + 3*l - 135/4 = 0.
-9, 5
Factor -4*x**4 + 12*x**3 + 40*x**2 - 96*x.
-4*x*(x - 4)*(x - 2)*(x + 3)
Factor 4*h**4 + 1300*h**3 + 1296*h**2.
4*h**2*(h + 1)*(h + 324)
Factor -2*d**2/7 + 428*d/21 + 96/7.
-2*(d - 72)*(3*d + 2)/21
Solve -2*o**3/9 - 4*o**2/3 - 22*o/9 - 4/3 = 0.
-3, -2, -1
Let 3*b**3/7 - 197*b**2/7 + 501*b/7 + 27 = 0. Calculate b.
-1/3, 3, 63
Solve -69*d**4 - 615*d**3 - 981*d**2 + 1815*d - 150 = 0.
-5, 2/23, 1
Factor -2*z**3 + 22*z**2 - 76*z + 80.
-2*(z - 5)*(z - 4)*(z - 2)
Find i such that 7*i**5 - 41*i**4 - 342*i**3 - 566*i**2 - 305*i - 33 = 0.
-3, -1, -1/7, 11
Factor -r**2/2 - 51*r/2 - 49.
-(r + 2)*(r + 49)/2
Determine u so that 196*u**5 - 9128*u**4 + 5168*u**3 - 736*u**2 = 0.
0, 2/7, 46
Suppose -4*m**2 - 1984*m - 246016 = 0. Calculate m.
-248
Factor -2*m**2/5 + 1084*m/5 + 1086/5.
-2*(m - 543)*(m + 1)/5
Factor -j**2 - 51*j + 52.
-(j - 1)*(j + 52)
Factor 2*x**3/9 - 70*x**2/3 + 2450*x/3 - 85750/9.
2*(x - 35)**3/9
Let 3*n**2/5 - 4164*n/5 + 1444908/5 = 0. Calculate n.
694
Factor -3*o**2/2 - 135*o + 837/2.
-3*(o - 3)*(o + 93)/2
Factor -n**3 + n.
-n*(n - 1)*(n + 1)
Suppose 2*p**4/5 + 2*p**3/5 - 2*p**2/5 - 2*p/5 = 0. Calculate p.
-1, 0, 1
Let -3*w**4 - 363*w**3 + 366*w**2 = 0. Calculate w.
-122, 0, 1
Factor -3*s**4/4 + 69*s**3/4 - 42*s**2 - 735*s.
-3*s*(s - 14)**2*(s + 5)/4
Factor 2*k**4/9 - 44*k**3/9 + 34*k**2 - 72*k.
2*k*(k - 9)**2*(k - 4)/9
Let -g**4/2 - 22*g**3 - 459*g**2/2 + 252*g = 0. Calculate g.
-24, -21, 0, 1
Suppose 6*s**4/11 - 26*s**3/11 - 68*s**2/11 + 40*s/11 + 48/11 = 0. What is s?
-2, -2/3, 1, 6
Factor -25*d**3 - 155*d**2 - 160*d + 240.
-5*(d + 3)*(d + 4)*(5*d - 4)
Suppose -2*l**2/3 - 832*l/3 - 552 = 0. Calculate l.
-414, -2
Find h, given that -h**4 + 11*h**2 + 18*h + 8 = 0.
-2, -1, 4
Factor 4*n**2 + 1224*n + 93636.
4*(n + 153)**2
Factor p**2 + 1075*p + 1074.
(p + 1)*(p + 1074)
Factor -x**4/6 + 19*x**3/6 - 15*x**2 + 12*x.
-x*(x - 12)*(x - 6)*(x - 1)/6
What is s in 2*s**3 + 84*s**2 + 960*s + 1600 = 0?
-20, -2
Solve p**4 + 206*p**3 + 1601*p**2 + 3376*p + 1980 = 0.
-198, -5, -2, -1
Factor u**3/3 + 21*u**2/2 + 145*u/6.
u*(u + 29)*(2*u + 5)/6
Solve -5*k**2 + 20280*k - 20563920 = 0 for k.
2028
Determine g, given that -5*g**4 - 5*g**3 + 45*g**2 - 55*g + 20 = 0.
-4, 1
Factor 2*y**3 - 657*y**2 - 992*y + 660.
(y - 330)*(y + 2)*(2*y - 1)
What is m in 3*m**3 - 153*m**2 + 1872*m + 2028 = 0?
-1, 26
Suppose 2*h**3/5 - 244*h**2/5 - 2048*h/5 - 832 = 0. What is h?
-4, 130
What is p in -16*p**4/9 + 392*p**3/9 + 68*p**2 + 310*p/9 + 52/9 = 0?
-1/2, 26
Suppose 8*n**5 + 12*n**4 - 28*n**3 - 48*n**2 - 16*n = 0. Calculate n.
-2, -1, -1/2, 0, 2
Factor -4*i**3/7 - 20*i**2 - 136*i/7.
-4*i*(i + 1)*(i + 34)/7
Factor 5*v**5 - 175*v**4 + 2130*v**3 - 9790*v**2 + 7865*v + 19965.
5*(v - 11)**3*(v - 3)*(v + 1)
Factor o**3/3 + 46*o**2/3 + 425*o/3 - 2500/3.
(o - 4)*(o + 25)**2/3
Suppose 55*t**4 - 840*t**3 - 655*t**2 + 240*t = 0. What is t?
-1, 0, 3/11, 16
Factor -5*g**4 + 1265*g**3 - 105825*g**2 + 2853875*g + 6141250.
-5*(g - 85)**3*(g + 2)
Factor 3*q**4/4 - 9*q**2 - 12*q.
3*q*(q - 4)*(q + 2)**2/4
Solve -34*b**4/7 - 58*b**3/7 + 44*b**2/7 + 48*b/7 = 0 for b.
-2, -12/17, 0, 1
Suppose -3*g**4/2 + g**3/2 + 2*g**2 = 0. Calculate g.
-1, 0, 4/3
Factor 176*p**2 + 1220*p - 84.
4*(p + 7)*(44*p - 3)
What is v in 2*v**2 + 78*v - 252 = 0?
-42, 3
Find i such that 4*i**3 - 948*i**2 + 58464*i - 269120 = 0.
5, 116
Suppose g**4/9 + 4*g**3/9 - 16*g/9 - 16/9 = 0. What is g?
-2, 2
Suppose -4*r**5 + 4*r**4 + 20*r**3 + 12*r**2 = 0. What is r?
-1, 0, 3
Let r**3/5 + 566*r**2/5 = 0. Calculate r.
-566, 0
Factor y**3 + 525*y**2 + 91875*y + 5359375.
(y + 175)**3
Factor -2*o**5/3 + 6*o**4 - 52*o**3/3 + 68*o**2/3 - 14*o + 10/3.
-2*(o - 5)*(o - 1)**4/3
Find y, given that 4*y**2/3 - 120*y + 356/3 = 0.
1, 89
Solve -3*f**4 - 45*f**3 - 186*f**2 - 144*f = 0 for f.
-8, -6, -1, 0
What is o in -o**2 + 8734*o - 19070689 = 0?
4367
Factor u**3/4 - 23*u**2/4.
u**2*(u - 23)/4
Factor -4*l**2 + 32*l + 960.
-4*(l - 20)*(l + 12)
Suppose 4*j**3 - 25280*j**2 - 4*j + 25280 = 0. What is j?
-1, 1, 6320
Factor 2*z**3 - 98*z**2 + 1248*z - 1152.
2*(z - 24)**2*(z - 1)
Find p, given that -p**2/8 - 39*p/4 - 77/8 = 0.
-77, -1
Factor 555*o**2 + 1671*o + 18.
3*(o + 3)*(185*o + 2)
Solve -10*i