3/17 + 9240*d**2/17 - 19600*d/17.
2*d*(d - 2)*(d + 70)**2/17
Find m such that -m**3 - 382*m**2 = 0.
-382, 0
Find c, given that -4*c**5/3 + 8*c**4/3 + 4*c**3/3 - 8*c**2/3 = 0.
-1, 0, 1, 2
Factor 4*x**2 + 4680*x - 9376.
4*(x - 2)*(x + 1172)
Factor -3*l**4/4 - 9*l**3 - 81*l**2/2 - 81*l - 243/4.
-3*(l + 3)**4/4
Factor 3*k**4/2 - 4*k**3 + 2*k**2.
k**2*(k - 2)*(3*k - 2)/2
Factor 2*h**2 + 832*h + 86528.
2*(h + 208)**2
Factor 5*d**5 + 2150*d**4 + 228965*d**3 - 464400*d**2 + 233280*d.
5*d*(d - 1)**2*(d + 216)**2
Determine k, given that k**3/3 - 127*k**2/3 + 251*k/3 - 125/3 = 0.
1, 125
Determine r so that -r**2/5 - 21*r/5 - 38/5 = 0.
-19, -2
Factor 5*j**3 + 280*j**2 + 1700*j - 69360.
5*(j - 12)*(j + 34)**2
Factor 2*v**2/3 + 212*v/3 + 70.
2*(v + 1)*(v + 105)/3
Find i such that -i**5/2 + 2*i**4 + 29*i**3/2 + 12*i**2 = 0.
-3, -1, 0, 8
Factor -4*n**3 + 376*n**2 + 768*n.
-4*n*(n - 96)*(n + 2)
Solve 2*f**4/5 + 2*f**3 + 6*f**2/5 - 18*f/5 = 0 for f.
-3, 0, 1
Factor -10*n**2 - 2364*n - 944.
-2*(n + 236)*(5*n + 2)
Let -4*r**4 - 171*r**3 - 1077*r**2 + 280*r = 0. What is r?
-35, -8, 0, 1/4
Factor 2*a**2 - 7452*a + 6941538.
2*(a - 1863)**2
Suppose n**3/4 - 153*n**2/2 = 0. What is n?
0, 306
Factor -6*k**2/11 - 474*k/11 - 468/11.
-6*(k + 1)*(k + 78)/11
Factor -i**3/5 + 17*i**2/5 - 63*i/5 - 81/5.
-(i - 9)**2*(i + 1)/5
Factor t**2/2 + 11*t.
t*(t + 22)/2
Determine k, given that -8*k**5 + 66*k**4 + 1096*k**3 + 1626*k**2 - 476*k = 0.
-7, -2, 0, 1/4, 17
Suppose w**4 - 176*w**3 + 7918*w**2 - 15312*w + 7569 = 0. What is w?
1, 87
Factor -h**4 + 4*h**3 + 6*h**2 - 36*h + 27.
-(h - 3)**2*(h - 1)*(h + 3)
Suppose -7*r**3/2 + 66*r**2 - 227*r/2 + 51 = 0. What is r?
6/7, 1, 17
Let -2*q**3 + 9602*q**2 - 11519998*q - 11529602 = 0. Calculate q.
-1, 2401
Suppose -5*i**4 + 160*i**3 + 695*i**2 + 890*i + 360 = 0. What is i?
-2, -1, 36
Suppose -3*x**2 + 9462*x - 7460787 = 0. Calculate x.
1577
Solve 81*f**3/2 - 468*f**2 + 1352*f = 0.
0, 52/9
Determine r, given that r**5 - 11*r**4 - 16*r**3 + 44*r**2 + 48*r = 0.
-2, -1, 0, 2, 12
Solve -35*n**3 - 905*n**2/4 - 90*n + 45 = 0 for n.
-6, -3/4, 2/7
Let 5*h**2 + 45*h - 50 = 0. What is h?
-10, 1
Factor d**2/4 + 75*d/2.
d*(d + 150)/4
Factor 2*t**2/11 + 60*t/11 + 162/11.
2*(t + 3)*(t + 27)/11
Factor -6*a**3 + 194*a**2 - 370*a + 182.
-2*(a - 1)**2*(3*a - 91)
Factor -266*o**2 - 10*o/3.
-2*o*(399*o + 5)/3
Factor i**5/3 - 13*i**3 + 70*i**2/3.
i**2*(i - 5)*(i - 2)*(i + 7)/3
Factor u**5/2 - 3*u**4 - 3*u**3/2 + 8*u**2 + 6*u.
u*(u - 6)*(u - 2)*(u + 1)**2/2
Solve 5*j**2 + 9390*j + 4408605 = 0.
-939
Suppose -7*i**2 + 206*i - 87 = 0. Calculate i.
3/7, 29
Suppose 3*a**5/5 - 27*a**3/5 + 12*a**2/5 + 36*a/5 = 0. What is a?
-3, -1, 0, 2
Suppose -y**2/6 - 20*y - 600 = 0. What is y?
-60
Let m**4/3 + 14*m**3/3 + 32*m**2/3 - 128*m/3 = 0. Calculate m.
-8, 0, 2
Factor 2*h**2/5 - 4*h - 78/5.
2*(h - 13)*(h + 3)/5
What is i in 6*i**3 + 82*i**2 - 118*i + 30 = 0?
-15, 1/3, 1
Solve l**4/4 - 19*l**3/4 - 57*l**2 - 163*l - 140 = 0 for l.
-5, -2, 28
Solve -2*t**2 + 390*t + 1592 = 0 for t.
-4, 199
Determine k, given that 98*k**4/3 - 1750*k**3 + 992*k**2 - 424*k/3 = 0.
0, 2/7, 53
Determine f, given that -14*f**5/3 - 32*f**4/3 + 34*f**3/3 + 124*f**2/3 + 88*f/3 + 16/3 = 0.
-2, -1, -2/7, 2
Let -2*k**5/7 + 4*k**4/7 + 216*k**3/7 + 860*k**2/7 + 650*k/7 = 0. Calculate k.
-5, -1, 0, 13
Factor 4*p**5 + 156*p**4 + 1272*p**3 - 4792*p**2 + 5124*p - 1764.
4*(p - 1)**3*(p + 21)**2
Factor -2*g**4 - 38*g**3 - 34*g**2 + 38*g + 36.
-2*(g - 1)*(g + 1)**2*(g + 18)
Let p**3 - 13*p**2 + 35*p + 49 = 0. What is p?
-1, 7
Factor 9*o**2/2 - 357*o/2 + 117.
3*(o - 39)*(3*o - 2)/2
Factor 3*r**2 + 9*r + 6.
3*(r + 1)*(r + 2)
Solve -5*h**2 + 400*h + 5005 = 0 for h.
-11, 91
Factor -c**2 + 49*c - 48.
-(c - 48)*(c - 1)
Factor 5*p**5 - 70*p**4 + 200*p**3 + 80*p**2 - 880*p + 800.
5*(p - 10)*(p - 2)**3*(p + 2)
Factor -k**2 + 11*k + 26.
-(k - 13)*(k + 2)
What is m in m**4/5 - 101*m**3/5 - 432*m**2/5 + 252*m = 0?
-6, 0, 2, 105
Find q, given that 20*q**5 + 504*q**4 - 960*q**3 + 328*q**2 + 108*q = 0.
-27, -1/5, 0, 1
Determine v, given that 4*v**2 = 0.
0
Let -z**2 - 52*z - 51 = 0. Calculate z.
-51, -1
Factor 3*a**3/7 + 87*a**2/7 - 183*a/7 + 93/7.
3*(a - 1)**2*(a + 31)/7
Find w such that 2*w**2/13 + 4*w = 0.
-26, 0
Suppose -2*h**5 + 22*h**4 - 90*h**3 + 162*h**2 - 108*h = 0. Calculate h.
0, 2, 3
Factor -t**4/10 + 29*t**3/10 - 39*t**2/2 - 45*t/2.
-t*(t - 15)**2*(t + 1)/10
Factor -2*g**2/21 + 218*g/21 - 212/7.
-2*(g - 106)*(g - 3)/21
Find z, given that -z**4/3 - 7*z**3/3 - 11*z**2/3 + 7*z/3 + 4 = 0.
-4, -3, -1, 1
Let 9*l**4 - 168*l**3 + 177*l**2 + 1302*l + 408 = 0. What is l?
-2, -1/3, 4, 17
Factor -q**5 + 82*q**4 + q**3 - 82*q**2.
-q**2*(q - 82)*(q - 1)*(q + 1)
Determine f so that 2*f**2/9 + 44*f/9 + 38/3 = 0.
-19, -3
Find q such that q**4/4 + 15*q**3/4 + 49*q**2/4 + 57*q/4 + 11/2 = 0.
-11, -2, -1
Factor -55*x**3 - 683*x**2 + 412*x - 52.
-(x + 13)*(5*x - 2)*(11*x - 2)
Factor 2*k**3 - 40*k**2 + 136*k - 128.
2*(k - 16)*(k - 2)**2
Suppose 5*w**4/3 - 65*w**3/3 - 25*w**2 + 855*w - 810 = 0. Calculate w.
-6, 1, 9
Let -5*a**2 - 6750*a - 2278125 = 0. What is a?
-675
Let 5*o**4 + 135*o**3 + 1090*o**2 + 2400*o + 1440 = 0. Calculate o.
-12, -2, -1
Suppose -2*x**4/11 - 332*x**3/11 + 336*x**2/11 + 332*x/11 - 334/11 = 0. Calculate x.
-167, -1, 1
Determine v, given that 14*v**5/13 + 94*v**4/13 + 210*v**3/13 + 170*v**2/13 + 16*v/13 - 24/13 = 0.
-3, -2, -1, 2/7
Solve g**2/5 + 76*g/5 + 1444/5 = 0 for g.
-38
Factor 2*n**2/5 - 16*n/5 - 18/5.
2*(n - 9)*(n + 1)/5
Let -3*a**4/8 + 879*a**3/8 + 885*a**2/8 - 879*a/8 - 441/4 = 0. What is a?
-1, 1, 294
Factor 5*g**2 - 20*g - 825.
5*(g - 15)*(g + 11)
Suppose -2*a**4/3 - 2*a**3/3 + 16*a**2/3 + 8*a = 0. Calculate a.
-2, 0, 3
Find k such that k**4/3 + k**3 - 2*k**2 - 28*k/3 - 8 = 0.
-2, 3
Solve -h**2/5 - 98*h/5 - 93 = 0.
-93, -5
Suppose 72*b**2/5 + 552*b/5 + 1058/5 = 0. Calculate b.
-23/6
Let 12*n**4 - 759*n**3/7 + 1287*n**2/7 - 633*n/7 + 3 = 0. What is n?
1/28, 1, 7
Find y, given that 2*y**2 - 864*y + 93312 = 0.
216
Find v, given that 5*v**4 + 725*v**3 + 26580*v**2 + 17280*v - 311040 = 0.
-72, -4, 3
Suppose 14*v**5/9 - 682*v**4/9 - 308*v**3/3 + 1192*v**2/9 + 400*v/9 = 0. What is v?
-2, -2/7, 0, 1, 50
Factor -3*n**3/4 - 267*n**2 - 98175*n/4 - 275625/2.
-3*(n + 6)*(n + 175)**2/4
Factor -i**4 - 14*i**3 - 57*i**2 - 40*i + 112.
-(i - 1)*(i + 4)**2*(i + 7)
Solve 2*q**2/3 + 196*q/3 + 4802/3 = 0.
-49
Factor -4*s**2 - 888*s + 892.
-4*(s - 1)*(s + 223)
Factor -2*v**4 - 26*v**3 - 46*v**2 - 22*v.
-2*v*(v + 1)**2*(v + 11)
What is g in 2*g**5/9 - 190*g**4/9 - 260*g**3/3 - 1180*g**2/9 - 790*g/9 - 22 = 0?
-1, 99
Factor -y**2/4 + 7*y/2 - 13/4.
-(y - 13)*(y - 1)/4
Factor -4*i**5/3 + 8*i**4/3 + 28*i**3/3 + 16*i**2/3.
-4*i**2*(i - 4)*(i + 1)**2/3
Factor d**3 + 643*d**2/5 + 1012*d/5 - 508/5.
(d + 2)*(d + 127)*(5*d - 2)/5
What is z in z**3/2 - 489*z**2/2 + 730*z - 486 = 0?
1, 2, 486
Factor -i**3/7 + i**2 - 15*i/7 + 9/7.
-(i - 3)**2*(i - 1)/7
Factor -2*r**5/7 + 244*r**4/7 - 9752*r**3/7 + 126960*r**2/7.
-2*r**2*(r - 46)**2*(r - 30)/7
Solve -3*w**2/7 + 45*w/7 + 102/7 = 0.
-2, 17
Let n**3/5 - 258*n**2/5 + 16641*n/5 = 0. Calculate n.
0, 129
Suppose -3*v**2/4 - 105*v/4 - 51/2 = 0. What is v?
-34, -1
What is h in -6539203*h**3 - 209814*h**2 - 2244*h - 8 = 0?
-2/187
Factor -3*d**3/5 - 9*d**2/5 + 27*d - 243/5.
-3*(d - 3)**2*(d + 9)/5
What is p in p**2 - 449*p - 450 = 0?
-1, 450
Find k, given that -k**2/4 + 1613*k/2 - 2601769/4 = 0.
1613
What is o in -4*o**4/3 + 340*o**3/3 - 5912*o**2/3 - 57040*o/3 - 16928 = 0?
-6, -1, 46
Solve -3*g**4 + 72*g**3 - 342*g**2 - 1248*g + 1521 = 0.
-3, 1, 13
Factor -2*n**5 + 32*n**4 - 30*n**3.
-2*n**3*(n - 15)*(n - 1)
Determine h so that 2*h**3/15 + 2*h**2/3 + 2*h/5 - 6/5 = 0.
-3, 1
Factor -2*c**2 - 500*c - 498.
-2*(c + 1)*(c + 249)
Solve -2*j**4/3 + 136*j**3 - 6936*j**2 = 0 for j.
0, 102
Factor -k**2 - 8*k + 33.
-(k - 3)*(k + 11)
Factor -5*q**2 + 25240*q - 31852880.
-5*(q - 2524)**2
Factor r**3/8 + 185*r**2/4 + 1103*r/8 + 367/4.
(r + 1)*(r + 2)*(r + 367)/8
Suppose -j**4/3 - 58*j**3/3 - 316*j**2 - 1026*j - 729 = 0. What is j?
-27, -3, -1
Suppose -15*k**3 + 235*k**2 - 145*k - 75 = 0. What is k?
-1/3, 1, 15
Determine k, given that 6*k**4 + 3*k**3 - 42*k**2 - 57*k - 18 = 0.
-2, -1, -1/2, 3
Factor 6*r**4 - 2*r**3 - 6