*m - 15 = 0. What is m?
-3, -1
Find n such that 5*n**3 - 40*n**2 + 105*n - 90 = 0.
2, 3
Factor j**2 - 6*j + 9.
(j - 3)**2
Suppose 4*g**3 + 92*g**2 = 0. Calculate g.
-23, 0
Solve -2*x**3/15 + 340*x**2 = 0 for x.
0, 2550
Determine h so that 2*h**5/7 + 22*h**4/7 - 18*h**3/7 - 422*h**2/7 + 800*h/7 - 384/7 = 0.
-8, 1, 3
What is h in -h**5 + 177*h**4 - 11610*h**3 + 328050*h**2 - 3007125*h - 12301875 = 0?
-3, 45
Suppose 12*f**2 + 160*f - 112 = 0. What is f?
-14, 2/3
Find w such that -2*w**5/3 + 10*w**3/3 - 8*w/3 = 0.
-2, -1, 0, 1, 2
Suppose 5*r**3 + 355*r**2 - 5*r - 355 = 0. Calculate r.
-71, -1, 1
Solve p**2/4 - 55*p/2 + 106 = 0.
4, 106
Suppose -2*f**2 - 120*f + 1400 = 0. What is f?
-70, 10
Factor 2*l**5 - 24*l**4 + 16*l**3 + 76*l**2 - 114*l + 44.
2*(l - 11)*(l - 1)**3*(l + 2)
What is d in -2*d**2/11 + 5736*d/11 - 4112712/11 = 0?
1434
Let -c**2/4 - 57*c/2 - 3249/4 = 0. What is c?
-57
Let 20*u**2 - 1496*u - 300 = 0. Calculate u.
-1/5, 75
What is a in -5*a**3 + 95*a**2 - 495*a + 405 = 0?
1, 9
Solve a**5 - 12*a**4 + 30*a**3 - 28*a**2 + 9*a = 0.
0, 1, 9
Factor 2*j**4 - 518*j**3 + 3054*j**2 - 4562*j + 2024.
2*(j - 253)*(j - 4)*(j - 1)**2
Factor 2*j**3/9 + 330*j**2 + 163350*j + 26952750.
2*(j + 495)**3/9
Factor 2*a**3 + 30*a**2 - 32*a.
2*a*(a - 1)*(a + 16)
Determine y, given that 10*y**4 + 385*y**3/2 - 3925*y**2/2 + 7095*y/2 + 2025/2 = 0.
-27, -1/4, 3, 5
Find b, given that -2*b**4 - 3278*b**3 - 6550*b**2 - 3274*b = 0.
-1637, -1, 0
Find i such that i**5/3 - 17*i**3/3 + 12*i**2 - 20*i/3 = 0.
-5, 0, 1, 2
Factor 15*w**4 + 50*w**3 + 40*w**2.
5*w**2*(w + 2)*(3*w + 4)
Find p such that -2*p**2 - 836*p - 87362 = 0.
-209
Solve -125*q**4 + 5525*q**3 - 6270*q**2 - 7700*q - 1720 = 0 for q.
-2/5, 2, 43
Factor f**4/3 + 95*f**3/3 + 668*f**2 + 11228*f/3 - 13328/3.
(f - 1)*(f + 14)**2*(f + 68)/3
Find z, given that -2*z**2/3 + 374*z/3 - 2864/3 = 0.
8, 179
Factor -2*w**3 + 1050*w**2 - 137286*w - 138338.
-2*(w - 263)**2*(w + 1)
Factor -4*u**3/5 - 1304*u**2/5 - 106276*u/5.
-4*u*(u + 163)**2/5
Factor -20*a**3 + 95*a**2 + 25*a.
-5*a*(a - 5)*(4*a + 1)
Factor 185*o**3 + 1120*o**2 + 1725*o + 90.
5*(o + 3)**2*(37*o + 2)
Factor -i**3 + 5*i**2 - 6*i.
-i*(i - 3)*(i - 2)
Factor q**5 + 5*q**4/6 - 19*q**3/6 - 9*q**2/2 - 7*q/6 + 1/3.
(q - 2)*(q + 1)**3*(6*q - 1)/6
Determine p, given that 2*p**5 - 1050*p**4 + 183750*p**3 - 10718750*p**2 = 0.
0, 175
Find m such that -3*m**4 - 237*m**3/4 - 93*m**2 + 27*m = 0.
-18, -2, 0, 1/4
Factor -h**3/3 + 214*h**2/3 + 649*h/3 + 434/3.
-(h - 217)*(h + 1)*(h + 2)/3
Solve -8*q**3 + 2928*q**2 - 2925*q/2 + 731/4 = 0 for q.
1/4, 731/2
Solve 4*j**5 + 28*j**4 - 276*j**3 + 468*j**2 = 0 for j.
-13, 0, 3
Factor m**3/6 - 5*m**2/3 + 14*m/3 - 4.
(m - 6)*(m - 2)**2/6
What is q in 466*q**2 - 1402*q/3 + 4/3 = 0?
2/699, 1
Factor -u**4 + 46*u**3 - 213*u**2 + 332*u - 164.
-(u - 41)*(u - 2)**2*(u - 1)
Find w, given that w**4/2 - 3*w**3/2 = 0.
0, 3
Let v**5/2 + 25*v**4/2 - 37*v**3/2 - 2329*v**2/2 + 5220*v - 4050 = 0. Calculate v.
-18, 1, 5
Determine x, given that 32*x**3/9 + 21200*x**2/9 + 10594*x/9 + 1324/9 = 0.
-662, -1/4
What is s in -s**3/4 - 47*s**2/2 - 355*s/4 + 225/2 = 0?
-90, -5, 1
Factor 2*p**2/23 + 656*p/23 + 53792/23.
2*(p + 164)**2/23
Determine d, given that -5*d**4/3 - 30*d**3 - 175*d**2 - 1160*d/3 - 240 = 0.
-9, -4, -1
Solve b**4/4 + 431*b**3/2 + 184029*b**2/4 - 186623*b + 187489 = 0.
-433, 2
Solve -2*b**2 + 64*b + 1288 = 0.
-14, 46
Let -3*n**3 - 201*n**2 - 1980*n = 0. Calculate n.
-55, -12, 0
Factor 15*z**3 + 280*z**2 - 95*z.
5*z*(z + 19)*(3*z - 1)
Find b, given that b**3/10 - 13*b**2/10 + 23*b/10 - 11/10 = 0.
1, 11
Suppose 2*a**2 - 3536*a + 3534 = 0. Calculate a.
1, 1767
Factor -2*l**3 - 150*l**2 - 292*l.
-2*l*(l + 2)*(l + 73)
Find i such that -3*i**2/4 + 57*i/4 + 99/2 = 0.
-3, 22
Factor 3*h**2/4 + 63*h/4 + 57/2.
3*(h + 2)*(h + 19)/4
Factor -18*o**3 - 16*o**2 + 2*o.
-2*o*(o + 1)*(9*o - 1)
Factor 2*p**3/5 - 8*p**2 + 256*p/5 - 512/5.
2*(p - 8)**2*(p - 4)/5
Determine n, given that 4*n**2 - 960*n + 956 = 0.
1, 239
Factor -2*b**3/11 + 54*b**2/11.
-2*b**2*(b - 27)/11
Factor -6728*u**2 + 232*u - 2.
-2*(58*u - 1)**2
Factor 4*v**3 - 28*v**2 - 216*v - 288.
4*(v - 12)*(v + 2)*(v + 3)
What is z in -3*z**5 - 6*z**4 + 18*z**3 + 24*z**2 - 15*z - 18 = 0?
-3, -1, 1, 2
Solve 2*b**2/7 - 110*b/7 - 732/7 = 0 for b.
-6, 61
Find z such that -z**4/2 - 21*z**3/2 - 33*z**2/2 + 101*z/2 + 57 = 0.
-19, -3, -1, 2
Find f, given that -f**4 + 6*f**3 - 13*f**2 + 12*f - 4 = 0.
1, 2
Factor -2*k**5/7 + 4*k**4/7 + 8*k**3/7 - 16*k**2/7.
-2*k**2*(k - 2)**2*(k + 2)/7
Factor b**2/4 + 1589*b + 2524921.
(b + 3178)**2/4
Find h such that 4*h**2 - 888*h + 2628 = 0.
3, 219
Determine t so that 3*t**3/8 - 321*t**2/8 + 1053*t + 2187/2 = 0.
-1, 54
Factor 4*g**3 + 112*g**2 + 660*g - 1800.
4*(g - 2)*(g + 15)**2
What is n in n**2/4 - 11*n + 57 = 0?
6, 38
Find l, given that 3*l**2 - 666*l + 3888 = 0.
6, 216
Factor 4*u**4 + 4*u**3 - 60*u**2 - 36*u + 216.
4*(u - 3)*(u - 2)*(u + 3)**2
Factor x**4/3 + 2*x**3 - x**2/3 - 2*x.
x*(x - 1)*(x + 1)*(x + 6)/3
Find d such that 5*d**5 + 60*d**4 - 30*d**3 - 400*d**2 - 495*d - 180 = 0.
-12, -1, 3
Factor 3*a**5/4 + 9*a**4/4 + 9*a**3/4 + 3*a**2/4.
3*a**2*(a + 1)**3/4
Factor 2*n**2/3 - 68*n/3 - 48.
2*(n - 36)*(n + 2)/3
Factor -3*u**2 - 11532*u - 11082252.
-3*(u + 1922)**2
Determine o, given that 2*o**3/3 - 978*o**2 - 3920*o - 11768/3 = 0.
-2, 1471
Factor -f**2/4 + 55*f/2 - 3025/4.
-(f - 55)**2/4
Let 2*q**3 - 28*q**2 - 2190*q - 19800 = 0. What is q?
-15, 44
Factor -2*m**2/17 - 72*m/17 + 602/17.
-2*(m - 7)*(m + 43)/17
Let 4*o**2 + 188*o + 1248 = 0. Calculate o.
-39, -8
What is l in 4*l**4 - 61*l**3 + 11*l**2 + 61*l - 15 = 0?
-1, 1/4, 1, 15
Determine q so that 2*q**2/11 - 50*q/11 + 48/11 = 0.
1, 24
Suppose -2*p**4/13 - 788*p**3/13 - 5970*p**2 + 3152*p/13 + 310472/13 = 0. What is p?
-197, -2, 2
Suppose -3*w**3/5 + 333*w**2/5 + 702*w/5 - 2712/5 = 0. What is w?
-4, 2, 113
Factor -c**2/5 + 16*c/5 - 39/5.
-(c - 13)*(c - 3)/5
Factor -1994709028*b**3 + 15092376*b**2 - 38064*b + 32.
-4*(793*b - 2)**3
Solve -6*s**5/5 - 28*s**4/5 + 88*s**3/5 - 68*s**2/5 + 14*s/5 = 0 for s.
-7, 0, 1/3, 1
Factor -v**4/8 + 5*v**3/8 + 3*v**2/8 - 13*v/8 - 5/4.
-(v - 5)*(v - 2)*(v + 1)**2/8
Factor -3*g**3 + 30*g**2 - 96*g + 96.
-3*(g - 4)**2*(g - 2)
Let 5*y**2 - 195*y + 700 = 0. Calculate y.
4, 35
Find u such that 4*u**4 + 56*u**3 + 140*u**2 + 88*u = 0.
-11, -2, -1, 0
Determine m, given that -4*m**5/5 + 12*m**4/5 + 3*m**3/5 - 2*m**2 + 3*m/5 = 0.
-1, 0, 1/2, 3
Factor -4*x**5 - 64*x**4 - 184*x**3 + 576*x**2 - 324*x.
-4*x*(x - 1)**2*(x + 9)**2
Factor -5*t**3 + 100*t**2 + 220*t.
-5*t*(t - 22)*(t + 2)
Factor 10*y**2/9 + 28*y/3 + 32/9.
2*(y + 8)*(5*y + 2)/9
Factor -64*x**3/9 + 22*x**2 - 2*x.
-2*x*(x - 3)*(32*x - 3)/9
Factor a**5 - 327*a**4 - 987*a**3 - 989*a**2 - 330*a.
a*(a - 330)*(a + 1)**3
Factor -13*j**3/7 - 152*j**2 + 164*j/7.
-j*(j + 82)*(13*j - 2)/7
Suppose u**4/7 + 17*u**3/7 + 51*u**2/7 - 17*u/7 - 52/7 = 0. Calculate u.
-13, -4, -1, 1
Factor c**4 - 34*c**3 + 64*c**2.
c**2*(c - 32)*(c - 2)
Find q, given that q**2/5 - 16*q/5 + 3 = 0.
1, 15
Solve -4*q**2 + 48128*q - 144769024 = 0.
6016
Let -2*s**2/9 - 32*s/9 + 160/9 = 0. What is s?
-20, 4
Let -15*y**5 + 275*y**4 - 585*y**3 + 405*y**2 - 80*y = 0. Calculate y.
0, 1/3, 1, 16
What is a in 845*a**5 + 1677*a**4/2 - 656*a**3 - 923*a**2/2 + 174*a - 14 = 0?
-1, 2/13, 7/10
Factor u**5 - 41*u**4 - 3*u**3 + 125*u**2 - 82*u.
u*(u - 41)*(u - 1)**2*(u + 2)
Determine i so that -528*i**5 + 8088*i**4 + 14655*i**3 + 7410*i**2 + 1473*i + 102 = 0.
-1, -1/4, -2/11, 17
Suppose -162*n**5 + 738*n**4 + 1324*n**3 + 472*n**2 + 48*n = 0. Calculate n.
-1, -2/9, 0, 6
Factor w**5/5 - 3*w**4/5 - 3*w**3/5 + 11*w**2/5 - 6*w/5.
w*(w - 3)*(w - 1)**2*(w + 2)/5
Factor 3*t**3 + 1371*t**2 + 5448*t + 5436.
3*(t + 2)**2*(t + 453)
Solve -3*x**2 + 513*x/4 - 189/2 = 0 for x.
3/4, 42
Factor -4*j**3 + 44*j**2 + 64*j - 1280.
-4*(j - 8)**2*(j + 5)
Factor 2*a**2/7 - 30*a.
2*a*(a - 105)/7
Factor -4*u**4 + 364*u**3 - 1064*u**2 + 704*u.
-4*u*(u - 88)*(u - 2)*(u - 1)
Suppose b**2 - 3454*b + 2982529 = 0. What is b?
1727
Let 4563*k**3 + 1170*k**2 + 75*k = 0. What is k?
-5/39, 0
Factor -j**2/3 + 3042*j - 6940323.
-(j - 4563)**2/3
Factor -3*c**2 + 93*c + 198.
-3*(c - 33)*(c + 2)
Factor 44*j**3 + 96*j**2 + 60*j + 8.
4*(j + 1)