**3/4 + 5*p**2/2 - 6*p.
-p*(p - 4)*(p - 2)*(p + 3)/4
Solve -10*x**3 + 15825*x**2 - 6248880*x - 9408960 = 0.
-3/2, 792
Factor -4*m**4/5 + 192*m**3/5 - 2104*m**2/5 - 960*m - 500.
-4*(m - 25)**2*(m + 1)**2/5
Determine o so that o**3/4 + o**2/2 - 33*o/4 - 45/2 = 0.
-5, -3, 6
Solve -12*o**2 + 692*o - 456 = 0 for o.
2/3, 57
Factor -4*h**2 - 184*h - 2116.
-4*(h + 23)**2
Suppose 2*w**3/9 + 280*w**2/9 - 566*w/9 + 284/9 = 0. What is w?
-142, 1
Find a, given that 4*a**3 + 6*a**2 - 2 = 0.
-1, 1/2
Determine m, given that 3*m**2/2 + 6114*m + 6230166 = 0.
-2038
Factor -11209104*r**2 - 13392*r - 4.
-4*(1674*r + 1)**2
Factor 5*g**4 - 235*g**3 + 2340*g**2 - 8720*g + 11200.
5*(g - 35)*(g - 4)**3
Let -3*y**2 + 117*y - 222 = 0. What is y?
2, 37
Factor -5*q**2 - 1890*q - 178605.
-5*(q + 189)**2
Factor -b**2 + 10606*b - 28121809.
-(b - 5303)**2
Let 3*z**4 - 24*z**3 + 45*z**2 = 0. Calculate z.
0, 3, 5
Determine u, given that 4*u**3 - 1656*u**2 + 228528*u - 10512288 = 0.
138
Factor x**3/2 + x**2/2 - 5*x + 4.
(x - 2)*(x - 1)*(x + 4)/2
Let -2*l**2/11 + 48*l/11 - 238/11 = 0. Calculate l.
7, 17
Find a such that a**3 + 11*a**2 + 26*a + 16 = 0.
-8, -2, -1
Factor 2*d**5 - 64*d**4 + 420*d**3 - 896*d**2 + 778*d - 240.
2*(d - 24)*(d - 5)*(d - 1)**3
Let 123*u**2 - 117*u - 6 = 0. What is u?
-2/41, 1
Factor -4*f**3/7 - 80*f**2/7 + 1012*f/7 - 928/7.
-4*(f - 8)*(f - 1)*(f + 29)/7
Factor 2*y**2 - 19252*y + 46329938.
2*(y - 4813)**2
Factor 3*d**3 + 90*d**2 - 525*d.
3*d*(d - 5)*(d + 35)
Factor 35*q**2 - 2180*q + 620.
5*(q - 62)*(7*q - 2)
Let -3*x**5/5 - 27*x**4/5 + 99*x**3/5 - 21*x**2 + 36*x/5 = 0. What is x?
-12, 0, 1
Determine s so that 2*s**3/9 - 3028*s**2/9 + 127680*s - 254016 = 0.
2, 756
Solve -15*g**5 + 4*g**4 + 104*g**3 - 176*g - 64 = 0.
-2, -4/3, -2/5, 2
Suppose b**2/9 - 232*b/9 - 476/3 = 0. What is b?
-6, 238
Suppose 2*y**2/13 + 22*y/13 - 4 = 0. What is y?
-13, 2
Factor g**3 + 77*g**2 + 1360*g - 4800.
(g - 3)*(g + 40)**2
Determine s so that 2*s**5/21 - 38*s**4/21 - 6*s**3 - 130*s**2/21 - 44*s/21 = 0.
-1, 0, 22
Solve -4*l**3 - 16*l**2 = 0.
-4, 0
Factor -4*l**3 + 144*l**2 - 380*l - 528.
-4*(l - 33)*(l - 4)*(l + 1)
Solve -4*h**2 - 16*h + 240 = 0 for h.
-10, 6
Factor 4*y**3/9 - 218*y**2/3 + 144*y - 646/9.
2*(y - 1)**2*(2*y - 323)/9
Find p, given that 3*p**2 - 5370*p = 0.
0, 1790
Solve -u**2/2 - 255*u/4 + 32 = 0.
-128, 1/2
Find k, given that 2*k**4/3 - 38*k**3/3 + 152*k**2/3 - 56*k = 0.
0, 2, 3, 14
Solve 2*i**4 - 94*i**3 + 1290*i**2 - 4906*i - 6292 = 0.
-1, 11, 26
Find g such that -2*g**2/5 - 96*g/5 = 0.
-48, 0
Factor 27*k**3/2 + 79*k**2/2 - 57*k + 4.
(k - 1)*(k + 4)*(27*k - 2)/2
Factor -a**3/4 - 3*a**2/4 + 189*a/4 + 1215/4.
-(a - 15)*(a + 9)**2/4
Factor -2*m**3/3 + 226*m**2 - 676*m/3.
-2*m*(m - 338)*(m - 1)/3
Factor 5*d**2 + 23940*d + 28656180.
5*(d + 2394)**2
Solve 144*s**4 + 17088*s**3 + 498292*s**2 - 515524*s = 0.
-359/6, 0, 1
Factor r**5 + 8*r**4 + 7*r**3.
r**3*(r + 1)*(r + 7)
Factor -4*z**2 - 560*z - 19600.
-4*(z + 70)**2
Factor -5*b**5 + 160*b**4 - 2000*b**3 + 12160*b**2 - 35840*b + 40960.
-5*(b - 8)**3*(b - 4)**2
Suppose -2*o**2/7 - 1296*o/7 = 0. Calculate o.
-648, 0
Suppose -2*y**5/3 + 35*y**4/9 - 14*y**3/3 - 44*y**2/9 + 16*y/3 + 1 = 0. What is y?
-1, -1/6, 1, 3
Factor -5*d**2 + 1230*d - 75645.
-5*(d - 123)**2
Let -25*s**5/2 + 85*s**4/3 + 175*s**3/6 - 325*s**2/3 + 250*s/3 - 20 = 0. What is s?
-2, 3/5, 2/3, 1, 2
Find z, given that -3*z**5/8 + 105*z**4/8 + 225*z**3/4 + 345*z**2/4 + 465*z/8 + 117/8 = 0.
-1, 39
Factor 4*d**2 - 216*d + 2916.
4*(d - 27)**2
Factor -5*y**3/4 + 197*y**2/8 - 75*y/2 - 27/2.
-(y - 18)*(y - 2)*(10*y + 3)/8
Factor -5*i**3 - 55*i**2 - 160*i - 140.
-5*(i + 2)**2*(i + 7)
Determine g so that 21*g**5/4 + 2801*g**4/4 + 22413*g**3 - 62629*g**2 + 32232*g - 4624 = 0.
-68, 2/7, 1/3, 2
Suppose -3*s**5/2 - 2*s**4 + 2*s**3 + 3*s**2 - s/2 - 1 = 0. Calculate s.
-1, 2/3, 1
Factor -8*x**2/11 + 1928*x/11 - 116162/11.
-2*(2*x - 241)**2/11
Let 3*j**5 + 81*j**4 + 402*j**3 - 2106*j**2 - 405*j + 2025 = 0. Calculate j.
-15, -1, 1, 3
Factor 2*n**4 - 3*n**3 - 2*n**2.
n**2*(n - 2)*(2*n + 1)
Find n such that -4*n**4 - 32*n**3 - 68*n**2 - 40*n = 0.
-5, -2, -1, 0
Find v, given that 12*v**4/5 + 52*v**3/5 + 64*v**2/5 + 16*v/5 = 0.
-2, -1/3, 0
Factor 2*p**4/5 + 3*p**3/5 - 2*p**2 - 12*p/5 + 8/5.
(p - 2)*(p + 2)**2*(2*p - 1)/5
Find m such that m**4 + 320*m**3/3 + 8948*m**2/3 + 22048*m/3 + 10816/3 = 0.
-52, -2, -2/3
Find u, given that 4*u**2 - 120*u + 224 = 0.
2, 28
Determine v, given that -2*v**4/11 - 24*v**3/11 - 72*v**2/11 = 0.
-6, 0
Factor 3*p**3 + 3*p**2 - 27*p - 27.
3*(p - 3)*(p + 1)*(p + 3)
Let -a**2 - 97*a = 0. Calculate a.
-97, 0
Determine m so that 2880*m**4 - 6000*m**3 + 4565*m**2 - 1500*m + 180 = 0.
3/8, 2/3
Factor -3*p**2 - 3*p.
-3*p*(p + 1)
Factor 5*h**3 + 110*h**2 + 95*h - 210.
5*(h - 1)*(h + 2)*(h + 21)
Factor -2*m**4 - m**3 + 6*m**2 + 7*m + 2.
-(m - 2)*(m + 1)**2*(2*m + 1)
Solve -9*q**3/5 - 48*q**2/5 - 51*q/5 - 12/5 = 0.
-4, -1, -1/3
Factor v**2/6 - 647*v/2 + 970/3.
(v - 1940)*(v - 1)/6
Find i, given that -3*i**3/4 + 33*i**2/2 - 63*i/4 = 0.
0, 1, 21
Solve -i**4/4 + i**3/2 + 3*i**2/4 - 2*i + 1 = 0 for i.
-2, 1, 2
Let -z**3/3 + 4*z**2 + 79*z/3 + 34 = 0. Calculate z.
-3, -2, 17
Factor 2*m**4 - 6*m**3 - 618*m**2 - 1210*m - 600.
2*(m - 20)*(m + 1)**2*(m + 15)
Find x, given that -4*x**5 - 12*x**4 + 96*x**3 + 544*x**2 + 960*x + 576 = 0.
-3, -2, 6
What is r in -8*r**5 + 146*r**4 - 547*r**3 - 710*r**2 + 867*r + 252 = 0?
-3/2, -1/4, 1, 7, 12
Factor -2*w**2 + 166*w - 780.
-2*(w - 78)*(w - 5)
Suppose -2*l**4/5 + 34*l**3/5 - 168*l**2/5 + 296*l/5 - 32 = 0. What is l?
1, 2, 4, 10
Factor -8*r**2/11 + 10*r - 22.
-2*(r - 11)*(4*r - 11)/11
Find q, given that 4*q**3 + 368*q**2 + 8464*q = 0.
-46, 0
Solve -v**4/2 - 316*v**3 - 50867*v**2 - 296724*v - 881721/2 = 0.
-313, -3
Suppose 5*w**5 - 60*w**4 + 170*w**3 + 60*w**2 - 175*w = 0. Calculate w.
-1, 0, 1, 5, 7
Factor 49*b**4/2 - 9975*b**3/2 + 2844*b**2 - 406*b.
b*(b - 203)*(7*b - 2)**2/2
Factor -2*u**2/13 + 18*u - 232/13.
-2*(u - 116)*(u - 1)/13
Factor -p**5 - 2*p**4 + 2*p**3 + 8*p**2 + 7*p + 2.
-(p - 2)*(p + 1)**4
Factor u**2/2 + 1789*u + 3200521/2.
(u + 1789)**2/2
Solve -5*w**3 - 23*w**2 + 10*w = 0 for w.
-5, 0, 2/5
Find a such that -4*a**3 - 36*a**2 = 0.
-9, 0
Factor -2*n**3 + 88*n**2 - 1120*n + 3200.
-2*(n - 20)**2*(n - 4)
Solve -3*h**3 - 315*h**2 - 7137*h + 7455 = 0.
-71, -35, 1
Suppose -m**4/2 + 5*m**3/2 - 2*m**2 = 0. What is m?
0, 1, 4
Factor 2*m**3 - 62*m**2 + 374*m + 1734.
2*(m - 17)**2*(m + 3)
Determine m so that -5*m**3 - 25*m**2/3 - 10*m/3 = 0.
-1, -2/3, 0
Suppose 3*u**5 + 6*u**4 - 27*u**3 - 54*u**2 = 0. What is u?
-3, -2, 0, 3
Factor -j**2/8 - 33*j/8 - 31/4.
-(j + 2)*(j + 31)/8
Determine d so that -5*d**5 + 90*d**3 + 20*d**2 - 285*d + 180 = 0.
-3, 1, 4
Factor u**2/2 + 5*u + 21/2.
(u + 3)*(u + 7)/2
Solve -2*k**2/17 - 6780*k/17 - 5746050/17 = 0.
-1695
Factor -17*v**2/9 + 104*v/9 - 4/3.
-(v - 6)*(17*v - 2)/9
Solve -5*y**2 + 15600*y - 12168000 = 0 for y.
1560
Factor -i**5 + 7*i**3 - 2*i**2 - 12*i + 8.
-(i - 2)*(i - 1)**2*(i + 2)**2
Suppose -8*n**3/3 - 68*n**2/3 + 140*n/3 + 200/3 = 0. What is n?
-10, -1, 5/2
Factor h**2/8 + 17*h/4 + 33/8.
(h + 1)*(h + 33)/8
What is s in -s**3/5 + 228*s**2/5 - 17328*s/5 + 438976/5 = 0?
76
What is c in 5*c**3 - 5*c**2 - 5*c + 5 = 0?
-1, 1
Factor -2*k**2/9 + 1322*k/3.
-2*k*(k - 1983)/9
Factor 2*h**2/3 - 340*h/3 - 1200.
2*(h - 180)*(h + 10)/3
Let 5*p**4 - 10*p**2 + 5 = 0. Calculate p.
-1, 1
Find h, given that 5*h**2 + 56720*h + 160857920 = 0.
-5672
Factor 3*z**3 - 6*z**2 + 3*z.
3*z*(z - 1)**2
Find m, given that -33*m**5 - 666*m**4 + 1332*m**3 + 264*m**2 = 0.
-22, -2/11, 0, 2
Factor 4*i**3 + 912*i**2 - 3696*i + 3712.
4*(i - 2)**2*(i + 232)
Factor w**3/3 + 11*w**2 + 62*w/3.
w*(w + 2)*(w + 31)/3
Find o such that 4*o**3/9 + 166*o**2/9 + 394*o/9 + 52/3 = 0.
-39, -2, -1/2
Factor -4*w**3 - 6696*w**2.
-4*w**2*(w + 1674)
Determine p so that -4*p**4/9 - 16*p**3/3 = 0.
-12, 0
Solve n**3 + 60*n**2 = 0.
-60, 0
Let -5*x**2 - 705*x + 2900 = 0. What is x?
-145, 4
Find j such that -2*j**2 + 1004*j/5 - 80 = 0.
2/5, 100
Let -4*a**4/3 + 50*a**3/9 + 10*a**2/9 - 200*a/9 + 152/9 = 0. What is a?
-2, 1, 2, 19/6
Find r, given that 2*r**3 - 2*r**2 - 28*r + 48 = 0.
-4, 2, 3
Factor -3*u**3/5 - 2787*u**2/5.
-3*u**2*(u + 929)/5
Factor