*4 - 7*i**3 - i**2 + 7*i.
i*(i - 7)*(i - 1)*(i + 1)
Let -130*g**3 - 525*g**2 - 410*g - 15 = 0. Calculate g.
-3, -1, -1/26
Factor 2*c**3 + 154*c**2 - 8*c - 616.
2*(c - 2)*(c + 2)*(c + 77)
Find s, given that 3*s**3 + 117*s**2 + 522*s + 408 = 0.
-34, -4, -1
Find h, given that -2*h**5/19 + 18*h**4/19 - 34*h**3/19 - 18*h**2/19 + 36*h/19 = 0.
-1, 0, 1, 3, 6
Factor -5*b**5 - 350*b**4 + 3450*b**3 - 8200*b**2 + 7475*b - 2370.
-5*(b - 6)*(b - 1)**3*(b + 79)
Suppose -3*k**3 + 81*k**2 - 330*k - 1008 = 0. What is k?
-2, 8, 21
Suppose -4*u**3 + 1572*u**2 - 205932*u + 8992364 = 0. Calculate u.
131
Factor -4*a**2 + 592*a - 1740.
-4*(a - 145)*(a - 3)
Solve 5*a**2 - 670*a + 13200 = 0 for a.
24, 110
What is l in l**3/7 - 11*l**2/7 + 40*l/7 - 48/7 = 0?
3, 4
Solve -3*p**3 + 654*p**2 + 6105*p + 5448 = 0 for p.
-8, -1, 227
Find u such that -4*u**4/5 - 72*u**3/5 - 444*u**2/5 - 1112*u/5 - 192 = 0.
-8, -5, -3, -2
Solve -w**4 - 12*w**3 + 22*w**2 + 108*w - 117 = 0 for w.
-13, -3, 1, 3
Find j such that -5*j**3 + 515*j**2 = 0.
0, 103
Factor -4*o**2/5 + 4*o/5 + 168/5.
-4*(o - 7)*(o + 6)/5
Factor -3*g**2 - 1542*g - 198147.
-3*(g + 257)**2
Suppose -2*g**3/5 + 6*g**2/5 + 18*g/5 - 54/5 = 0. What is g?
-3, 3
Find v such that v**4/6 + 95*v**3/6 - 97*v**2/6 - 95*v/6 + 16 = 0.
-96, -1, 1
Factor -s**4/2 - s**3/2 + 32*s**2 + 32*s.
-s*(s - 8)*(s + 1)*(s + 8)/2
Determine q, given that -3*q**5/2 + 219*q**4/2 + 693*q**3 + 1407*q**2 + 2361*q/2 + 711/2 = 0.
-3, -1, 79
Factor -4*x**3 - 16*x**2 + 112*x - 128.
-4*(x - 2)**2*(x + 8)
Find n such that 4*n**3/11 + 54*n**2/11 - 226*n/11 + 204/11 = 0.
-17, 3/2, 2
Factor 4*u**3 + 100*u**2 - 2032*u - 2128.
4*(u - 14)*(u + 1)*(u + 38)
Determine c, given that 21*c**3/2 - 45*c**2 + 87*c/2 - 9 = 0.
2/7, 1, 3
Factor 2*b**2/13 - 2890*b/13.
2*b*(b - 1445)/13
Factor 2*v**2 + 176*v + 174.
2*(v + 1)*(v + 87)
Factor -2*i**3/15 - 94*i**2/15 - 230*i/3 - 1058/15.
-2*(i + 1)*(i + 23)**2/15
Factor 4*j**3/3 + 88*j**2 + 1360*j - 9248/3.
4*(j - 2)*(j + 34)**2/3
Suppose 2*r**5/3 + 4*r**4/3 - 20*r**3/3 - 16*r**2/3 + 22*r - 12 = 0. Calculate r.
-3, 1, 2
Factor -y**3/2 + 15*y**2/2 + 26*y + 18.
-(y - 18)*(y + 1)*(y + 2)/2
Determine w so that -8*w**5/3 + 86*w**4/3 + 114*w**3 + 304*w**2/3 + 56*w/3 = 0.
-2, -1, -1/4, 0, 14
Let -f**5 - 5*f**4 + 3*f**3 + 45*f**2 + 54*f = 0. Calculate f.
-3, -2, 0, 3
Determine z so that -3*z**2/5 - 4512*z/5 - 1696512/5 = 0.
-752
Factor 69*p**2 + 657*p + 1350.
3*(p + 3)*(23*p + 150)
Find w such that -25*w**5 + 660*w**4 - 3760*w**3 - 8400*w**2 + 3920*w = 0.
-2, 0, 2/5, 14
Let 5*r**4 + 25*r**3 - 35*r**2 - 145*r + 150 = 0. What is r?
-5, -3, 1, 2
Let 10*n**4 + 116*n**3 - 328*n**2 + 112*n = 0. What is n?
-14, 0, 2/5, 2
Factor x**4/2 - 41*x**3/2 - 129*x**2/2 - 131*x/2 - 22.
(x - 44)*(x + 1)**3/2
Suppose -p**4 - 2*p**3 = 0. What is p?
-2, 0
Solve -3*a**3/2 + 6*a = 0 for a.
-2, 0, 2
Determine b, given that 3*b**3/4 - 2*b**2 - 167*b + 112 = 0.
-14, 2/3, 16
Factor -k**3 - 17*k**2 - 16*k.
-k*(k + 1)*(k + 16)
Suppose -2*v**2/7 - 808*v/7 + 810/7 = 0. What is v?
-405, 1
Factor 2*y**3 - 124*y**2 + 358*y - 236.
2*(y - 59)*(y - 2)*(y - 1)
Solve 2*k**3/3 - 52*k**2/3 + 250*k/3 - 200/3 = 0 for k.
1, 5, 20
Factor -i**3/3 + 4*i/3.
-i*(i - 2)*(i + 2)/3
Suppose b**4/6 - 19*b**3/2 + 361*b**2/3 + 430*b + 300 = 0. What is b?
-2, -1, 30
Solve -7*h**4/3 + 65*h**3/3 - 11*h**2/3 - 65*h/3 + 6 = 0 for h.
-1, 2/7, 1, 9
Determine b, given that 2*b**2 + 32*b - 1224 = 0.
-34, 18
Factor -3*j**2 - 60*j + 63.
-3*(j - 1)*(j + 21)
Factor -32*a**2/5 - 5552*a/5 - 240818/5.
-2*(4*a + 347)**2/5
Suppose a**3 - 23*a**2 + 94*a - 72 = 0. Calculate a.
1, 4, 18
What is q in 3*q**4 + 3*q**3 - 6*q**2 = 0?
-2, 0, 1
Factor -5*f**2/4 + 43*f/4 + 9/2.
-(f - 9)*(5*f + 2)/4
Solve f**5 - 10*f**4 + 8*f**3 + 10*f**2 - 9*f = 0 for f.
-1, 0, 1, 9
What is m in 12*m**4 - 44*m**3 - 724*m**2 + 1276*m + 504 = 0?
-7, -1/3, 2, 9
Find k such that 4*k**5/5 - 8*k**4/5 - 244*k**3/5 + 232*k**2 - 1776*k/5 + 864/5 = 0.
-9, 1, 2, 6
Factor 2*u**2/11 + 28*u/11 + 6.
2*(u + 3)*(u + 11)/11
Let -32*j**5/3 + 80*j**4/3 - 22*j**3 + 20*j**2/3 - 2*j/3 = 0. What is j?
0, 1/4, 1
Solve 2*i**5 + 68*i**4 - 18*i**3 - 620*i**2 - 248*i + 816 = 0.
-34, -2, 1, 3
Find w, given that -w**5/4 + 11*w**4/4 - 33*w**3/4 + 37*w**2/4 - 7*w/2 = 0.
0, 1, 2, 7
Factor -2*h**4/25 + 8*h**3/25 - 6*h**2/25.
-2*h**2*(h - 3)*(h - 1)/25
Factor -m**2 - 232*m - 13456.
-(m + 116)**2
Factor 13*s**3/2 + 41*s**2/2 - 23*s - 4.
(s - 1)*(s + 4)*(13*s + 2)/2
What is t in -180*t**4 + 960*t**3 + 775*t**2 - 335*t + 30 = 0?
-1, 1/6, 6
Factor -2*q**2/9 + 2060*q/9 - 530450/9.
-2*(q - 515)**2/9
Solve -14*g**3/5 + 2*g**2 + 88*g/5 + 24/5 = 0.
-2, -2/7, 3
Let 2*g**2 + 5110*g + 5108 = 0. Calculate g.
-2554, -1
Factor r**4/6 + 155*r**3/6 + 1171*r**2 + 38570*r/3 + 63700/3.
(r + 2)*(r + 13)*(r + 70)**2/6
Factor -b**2/7 + 15*b - 206/7.
-(b - 103)*(b - 2)/7
Factor 4*d**2/3 + 184*d/3 + 2116/3.
4*(d + 23)**2/3
Factor t**3/4 - 59*t**2/4 + 85*t/2 - 28.
(t - 56)*(t - 2)*(t - 1)/4
Factor -u**2 + 14*u - 48.
-(u - 8)*(u - 6)
Solve -3*n**2 + 408*n - 13872 = 0.
68
Find w such that 3*w**5 + 6*w**4 - 12*w**3 - 24*w**2 = 0.
-2, 0, 2
Factor -5*j**5 + 9*j**4/7 + 2*j**3/7.
-j**3*(5*j - 2)*(7*j + 1)/7
Factor 4*d**3/3 - 620*d**2 + 7296*d - 21744.
4*(d - 453)*(d - 6)**2/3
Factor -v**5/3 - 4*v**4/3 - v**3.
-v**3*(v + 1)*(v + 3)/3
Suppose m**2/4 - 105*m/4 - 53/2 = 0. What is m?
-1, 106
Find l, given that -8*l**3 - 806*l**2 - 2150*l + 588 = 0.
-98, -3, 1/4
Find t, given that 2*t**5 + 6*t**4 - 10*t**3 - 6*t**2 + 8*t = 0.
-4, -1, 0, 1
Find w, given that -w**2/4 + 101*w/4 = 0.
0, 101
Suppose -4*x**2 + 196*x - 2040 = 0. Calculate x.
15, 34
Determine y, given that 10*y**5 + 156*y**4 + 716*y**3 + 808*y**2 + 42*y - 196 = 0.
-7, -1, 2/5
Factor -p**5/4 + 3*p**4/4 + p**3.
-p**3*(p - 4)*(p + 1)/4
Determine y so that -54*y**4 - 1026*y**3 - 3528*y**2 - 4448*y - 1920 = 0.
-15, -4/3
Solve -20*p**2 + 212*p + 88 = 0 for p.
-2/5, 11
Factor -5*b**3 - 90*b**2 - 360*b.
-5*b*(b + 6)*(b + 12)
Suppose 5*l**3 - 30*l**2 - 35*l = 0. What is l?
-1, 0, 7
Solve 14*q**5/11 + 122*q**4/11 - 50*q**3/11 - 122*q**2/11 + 36*q/11 = 0.
-9, -1, 0, 2/7, 1
Suppose -a**4/7 - 14*a**3 - 2497*a**2/7 - 672*a - 2304/7 = 0. What is a?
-48, -1
Let 4*h**5/3 - 94*h**4/3 - 4*h**3 + 290*h**2/3 - 188*h/3 = 0. Calculate h.
-2, 0, 1, 47/2
Find k, given that -9604*k**4 + 784*k**3 - 16*k**2 = 0.
0, 2/49
Factor -4*p**2 - 768*p + 772.
-4*(p - 1)*(p + 193)
Solve 2*c**5 - 10*c**4 - 106*c**3 - 262*c**2 - 256*c - 88 = 0 for c.
-2, -1, 11
Factor -5*j**4 + 85*j**3 - 220*j**2 + 140*j.
-5*j*(j - 14)*(j - 2)*(j - 1)
Let -2*r**2 - 1974*r - 1972 = 0. Calculate r.
-986, -1
Factor -12*k**2 + 7900*k + 5272.
-4*(k - 659)*(3*k + 2)
Factor k**3/3 + 2536*k**2 + 6431296*k + 16309766656/3.
(k + 2536)**3/3
Factor m**3/2 + 27*m**2/2 + 58*m + 66.
(m + 2)*(m + 3)*(m + 22)/2
Factor -2*i**2/3 + 6*i - 16/3.
-2*(i - 8)*(i - 1)/3
Factor 3*g**3/2 - 51*g**2/2 + 165*g/2 - 117/2.
3*(g - 13)*(g - 3)*(g - 1)/2
Factor 2*w**4 - 34*w**3 + 156*w**2 - 64*w - 256.
2*(w - 8)**2*(w - 2)*(w + 1)
Solve 5*b**3 + 5*b**2 - 2210*b + 2200 = 0 for b.
-22, 1, 20
Determine f, given that 2*f**2/7 - 86*f/7 - 88/7 = 0.
-1, 44
Suppose -2*u**3/5 - 38*u**2/5 - 36*u/5 = 0. What is u?
-18, -1, 0
Factor 2*d**3 + 40*d**2 - 184*d + 192.
2*(d - 2)**2*(d + 24)
Solve -24*p**5 + 758*p**4 - 2460*p**3 + 1400*p**2 + 1584*p - 448 = 0.
-2/3, 1/4, 2, 28
Determine l so that -2*l**3 - 36*l**2 - 64*l = 0.
-16, -2, 0
What is u in -5*u**2 - 5440*u - 1479680 = 0?
-544
Let 4*t**5 - 28*t**4 - 20*t**3 + 300*t**2 = 0. What is t?
-3, 0, 5
Factor r**3/5 - r**2/5 - r/5 + 1/5.
(r - 1)**2*(r + 1)/5
Find b such that -3*b**3 + 40*b**2 - 532*b/3 + 784/3 = 0.
4, 14/3
Determine r, given that 3*r**2 - 27 = 0.
-3, 3
Let 3*f**3 - 135*f**2 + 936*f - 1776 = 0. What is f?
4, 37
Let -147*p**3 - 987*p**2 + 291*p - 21 = 0. Calculate p.
-7, 1/7
Determine p so that p**4/6 + 11*p**3/6 + 7*p**2 + 34*p/3 + 20/3 = 0.
-5, -2
Let 5*d**2 + 1200*d = 0. What is d?
-240, 0
Find k, given that 100*k**5/7 - 1080*k**4/7 + 416*k**3/7 + 4160*k**2/7 - 3264*k/7 + 640/7 = 0.
-2, 2/5, 2, 10
Let -27*s**2 - 264*s + 60 = 0. What is s?
-10, 2/9
Solve 4*t**5 - 40*t**4 + 124*t**3 - 104*t**2 - 112*t + 160 = 0.
-1, 2, 5
Suppose 75*q**5 - 165*q**4 - 33*q**3 + 153*q**2 - 54*q = 0. Calculate q.
-1, 0, 