ctor 1369*r**4 - 2590*r**3 + 1077*r**2 + 140*r + 4.
(r - 1)**2*(37*r + 2)**2
Factor 4*y**4/5 - 36*y**3/5 + 108*y**2/5 - 108*y/5.
4*y*(y - 3)**3/5
Factor y**4/2 + 13*y**3/2 + 24*y**2 + 18*y.
y*(y + 1)*(y + 6)**2/2
Factor u**3 + 8*u**2 - 137*u - 144.
(u - 9)*(u + 1)*(u + 16)
Solve -2*l**3/17 + 1116*l**2/17 - 160050*l/17 + 1210000/17 = 0 for l.
8, 275
Factor -2*b**4 + 68*b**3 - 354*b**2 + 512*b - 224.
-2*(b - 28)*(b - 4)*(b - 1)**2
Suppose 36*b**5 - 52*b**4 - 56*b**3 + 32*b**2 = 0. What is b?
-1, 0, 4/9, 2
Factor 2*u**2/9 + 100*u/9 - 106/3.
2*(u - 3)*(u + 53)/9
Suppose 10*z**3 - 204*z**2 + 1080*z - 400 = 0. Calculate z.
2/5, 10
Factor 4*b**3 - 20*b**2 - 24*b.
4*b*(b - 6)*(b + 1)
Solve h**5 + 3*h**4 = 0 for h.
-3, 0
Factor -p**4 + p**3 + p**2 - p.
-p*(p - 1)**2*(p + 1)
Suppose -3*q**4/2 + 519*q**3/2 - 22185*q**2/2 - 22707*q/2 = 0. Calculate q.
-1, 0, 87
Factor 20*m**2 - 725*m - 1330.
5*(m - 38)*(4*m + 7)
Factor -w**2 + 57*w - 110.
-(w - 55)*(w - 2)
Determine y so that -2*y**3/9 + 112*y**2/9 - 218*y/9 + 12 = 0.
1, 54
Suppose 3*x**2 - 108*x - 228 = 0. Calculate x.
-2, 38
Find b, given that 3*b**3/5 + 186*b**2 - 7584*b/5 + 15264/5 = 0.
-318, 4
Factor 13456*i**2 - 464*i + 4.
4*(58*i - 1)**2
Factor 3*t**4 + 18*t**3 - 60*t**2 - 72*t + 192.
3*(t - 2)**2*(t + 2)*(t + 8)
Solve 5*m**2 + 470*m + 11045 = 0 for m.
-47
Factor -2*b**4/7 - 272*b**3/7 - 270*b**2/7.
-2*b**2*(b + 1)*(b + 135)/7
Let -5*i**5 + 45*i**4 - 115*i**3 + 75*i**2 = 0. What is i?
0, 1, 3, 5
Factor -15*t**2 + 1220*t - 405.
-5*(t - 81)*(3*t - 1)
Suppose -2*o**5/7 - 10*o**4/7 - 12*o**3/7 + 4*o**2/7 + 2*o + 6/7 = 0. What is o?
-3, -1, 1
Factor 5*s**3 - 60*s**2 + 145*s - 90.
5*(s - 9)*(s - 2)*(s - 1)
Suppose y**4/3 - 4*y**3 + 5*y**2/3 + 22*y = 0. Calculate y.
-2, 0, 3, 11
Factor -2*x**2/21 - 160*x/3 - 1118/21.
-2*(x + 1)*(x + 559)/21
Let x**5/4 - x**4/4 - 5*x**3/4 + 5*x**2/4 + x - 1 = 0. Calculate x.
-2, -1, 1, 2
What is t in 41*t**2/4 - 62*t + 3 = 0?
2/41, 6
Solve -4*f**5 + 52*f**4 - 232*f**3 + 424*f**2 - 340*f + 100 = 0.
1, 5
Let -15*i**4 + 39*i**3 + 129*i**2 - 315*i + 162 = 0. Calculate i.
-3, 1, 18/5
Find s such that 2*s**4 - 44*s**3 + 306*s**2 - 648*s = 0.
0, 4, 9
Suppose w**3/2 + 6239*w**2/2 + 4864080*w - 4867200 = 0. What is w?
-3120, 1
Factor 2*d**2 - 1560*d.
2*d*(d - 780)
Factor 4*d**2/7 - 192*d/7.
4*d*(d - 48)/7
Solve 158404*p**2/3 - 796*p/3 + 1/3 = 0.
1/398
Find y, given that 3*y**5 - 6*y**4 - 12*y**3 + 6*y**2 + 9*y = 0.
-1, 0, 1, 3
Factor 2*n**3/5 + 454*n**2/5 + 26432*n/5 + 75264/5.
2*(n + 3)*(n + 112)**2/5
Factor 3*y**2/4 + 9*y/4 - 27/2.
3*(y - 3)*(y + 6)/4
Let -4*i**4/7 + 8*i**3/7 + 12*i**2 - 248*i/7 + 160/7 = 0. What is i?
-5, 1, 2, 4
Factor -35*n**2 - 2518*n + 144.
-(n + 72)*(35*n - 2)
Factor 2*a**2 - 92*a + 410.
2*(a - 41)*(a - 5)
Let -16*i**5 + 892*i**4/3 + 424*i**3/3 - 812*i**2/3 - 152*i = 0. Calculate i.
-3/4, -2/3, 0, 1, 19
Factor -v**3/3 - 116*v**2 - 13456*v - 1560896/3.
-(v + 116)**3/3
What is n in n**4/2 + 25*n**3 - 103*n**2/2 + 26*n = 0?
-52, 0, 1
Factor 4*n**3 + 1232*n**2.
4*n**2*(n + 308)
Find d such that 15*d**2 - 21140*d + 7045 = 0.
1/3, 1409
Factor -2*i**2 - 12*i - 10.
-2*(i + 1)*(i + 5)
Factor 5*o**3 - 1160*o**2.
5*o**2*(o - 232)
Find x, given that 2*x**3/5 - 6*x**2/5 + 6*x/5 - 2/5 = 0.
1
What is x in 2*x**4 - 18*x**3 + 60*x**2 - 88*x + 48 = 0?
2, 3
Solve 40*z**5 - 36*z**4 - 212*z**3 - 132*z**2 + 28*z + 24 = 0 for z.
-1, -1/2, 2/5, 3
Factor s**4/4 + 67*s**3/4 - 207*s**2/4 + 209*s/4 - 35/2.
(s - 1)**3*(s + 70)/4
Factor d**4/6 - 10*d**3 + 287*d**2/3 - 290*d + 1225/6.
(d - 49)*(d - 5)**2*(d - 1)/6
Find t, given that -t**2/2 + 181*t/2 + 91 = 0.
-1, 182
Factor 4*m**2 + 21648*m - 21652.
4*(m - 1)*(m + 5413)
Factor 20*m**3 + 112*m**2 + 52*m - 40.
4*(m + 1)*(m + 5)*(5*m - 2)
Let 2*o**3/5 - 74*o**2/5 - 1036*o/5 - 192 = 0. What is o?
-10, -1, 48
Factor 9*m**3/2 + 102*m**2 + 246*m + 120.
3*(m + 2)*(m + 20)*(3*m + 2)/2
Factor 2*m**3/5 - 54*m/5 + 108/5.
2*(m - 3)**2*(m + 6)/5
Determine x, given that -2*x**4/5 - 1054*x**3/5 - 27878*x**2 - 138338*x/5 = 0.
-263, -1, 0
Let 5*r**4 - 310*r**3 - 315*r**2 = 0. Calculate r.
-1, 0, 63
Factor 3*o**3 + 471*o**2 + 933*o + 465.
3*(o + 1)**2*(o + 155)
Solve 4*v**2 + 244*v + 1120 = 0.
-56, -5
Solve w**5 + 9*w**4 + 25*w**3 + 27*w**2 + 10*w = 0 for w.
-5, -2, -1, 0
Let 3*f**5 - 6*f**4 - 6*f**3 + 24*f**2 - 21*f + 6 = 0. Calculate f.
-2, 1
Factor -t**3 - 20*t**2 - 51*t.
-t*(t + 3)*(t + 17)
Determine x, given that -3*x**4/2 + 12*x**3 - 45*x**2/2 - 12*x + 24 = 0.
-1, 1, 4
Suppose -3*i**5/5 - 3*i**4/5 + 3*i**3 - 9*i**2/5 = 0. Calculate i.
-3, 0, 1
Let -374*a**2/3 + 2*a = 0. Calculate a.
0, 3/187
Determine z, given that -2*z**5/9 - 4*z**4/3 - 10*z**3/9 = 0.
-5, -1, 0
Find d, given that 4*d**5/7 + 24*d**4/7 - 24*d**3 - 464*d**2/7 + 444*d - 504 = 0.
-7, 2, 3
Factor -5*v**4 - 65600*v**3 - 215233590*v**2 - 430270400*v - 215102405.
-5*(v + 1)**2*(v + 6559)**2
Suppose 4*i**3 - 912*i**2 + 1812*i - 904 = 0. What is i?
1, 226
Factor 6*u**3/7 + 690*u**2/7 + 2784*u - 20184/7.
6*(u - 1)*(u + 58)**2/7
Solve c**3/5 + 14*c**2/5 - 287*c/5 - 60 = 0 for c.
-25, -1, 12
Determine z, given that -z**2 - z + 56 = 0.
-8, 7
What is i in -4*i**4 + 120*i**3 - 772*i**2 + 1536*i - 880 = 0?
1, 2, 5, 22
What is g in 24*g**2/7 + 45*g/7 - 6/7 = 0?
-2, 1/8
Factor q**2/11 - 8*q/11 + 15/11.
(q - 5)*(q - 3)/11
Factor v**4/4 - 3*v**3 + 29*v**2/4 + 21*v/2.
v*(v - 7)*(v - 6)*(v + 1)/4
Factor -t**3/4 - 3*t**2/8 + t - 3/8.
-(t - 1)*(t + 3)*(2*t - 1)/8
Find i, given that 4*i**3 - 500*i**2 - 5300*i - 13500 = 0.
-5, 135
Factor k**3/4 + 61*k**2/4 + 266*k + 980.
(k + 5)*(k + 28)**2/4
Suppose -2*g**5/9 + 4*g**4/9 + 22*g**3/9 - 80*g**2/9 + 88*g/9 - 32/9 = 0. Calculate g.
-4, 1, 2
Suppose -2*l**3/5 - 9*l**2/5 + 4*l + 12/5 = 0. Calculate l.
-6, -1/2, 2
Determine x so that -4*x**4 - 4*x**3 + 48*x**2 + 112*x + 64 = 0.
-2, -1, 4
Factor 10*k**2 - 284*k/7 + 16/7.
2*(k - 4)*(35*k - 2)/7
Factor -26*d**3/9 - 232*d**2/9 + 574*d/9 + 2156/3.
-2*(d + 7)**2*(13*d - 66)/9
Solve 4*v**3 + 632*v**2 + 1252*v + 624 = 0 for v.
-156, -1
Factor -4*w**3 + 524*w**2 - 17920*w + 49152.
-4*(w - 64)**2*(w - 3)
Factor -45*b**3 + 55*b**2 + 260*b - 60.
-5*(b - 3)*(b + 2)*(9*b - 2)
Factor -2*b**2/5 - 694*b/5 + 2808/5.
-2*(b - 4)*(b + 351)/5
Solve 5*b**3 + 16635*b**2 + 33255*b + 16625 = 0.
-3325, -1
Suppose 12*n**4/5 - 15*n**3 + 126*n**2/5 - 15*n + 12/5 = 0. What is n?
1/4, 1, 4
Find g such that -2*g**5 - 8*g**4 - 4*g**3 + 8*g**2 + 6*g = 0.
-3, -1, 0, 1
Determine r so that 334084*r**3 - 341020*r**2 + 6972*r - 36 = 0.
3/289, 1
Let 16*x**5 + 140*x**4 + 284*x**3 - 80*x**2 = 0. What is x?
-5, -4, 0, 1/4
Factor -k**3/6 + 7*k**2/3 + 16*k/3.
-k*(k - 16)*(k + 2)/6
Factor 3*m**2/7 + 11*m/7 + 6/7.
(m + 3)*(3*m + 2)/7
Let 3*x**5/5 - 6*x**4/5 - 57*x**3/5 + 12*x**2 = 0. Calculate x.
-4, 0, 1, 5
Determine z, given that -z**4/2 + z**3 + 18*z**2 + 44*z + 32 = 0.
-2, 8
Factor 5*v**2 + 4970*v + 1235045.
5*(v + 497)**2
Factor -3*o**4 - 6*o**3 + 39*o**2 - 30*o.
-3*o*(o - 2)*(o - 1)*(o + 5)
Factor -o**3/4 - 131*o**2.
-o**2*(o + 524)/4
Factor 55*r**3 - 485*r**2 + 350*r + 80.
5*(r - 8)*(r - 1)*(11*r + 2)
Let c**5 + 126*c**4/5 - 3*c**3 - 368*c**2/5 + 252*c/5 = 0. What is c?
-126/5, -2, 0, 1
Factor -j**5 - 66*j**4 - 1451*j**3 - 10582*j**2 + 1452*j + 10648.
-(j - 1)*(j + 1)*(j + 22)**3
Suppose -2*h**3 + 345*h**2 + 173*h = 0. What is h?
-1/2, 0, 173
Factor -w**5 - 21*w**4 - 120*w**3 - 100*w**2.
-w**2*(w + 1)*(w + 10)**2
Factor y**3/3 - 1163*y**2 + 1015008*y - 3041536/3.
(y - 1744)**2*(y - 1)/3
Solve 2*b**4/15 + 6*b**3/5 - 494*b**2/15 + 554*b/5 - 396/5 = 0.
-22, 1, 3, 9
Suppose -6*u**2/5 + 36*u/5 - 6 = 0. Calculate u.
1, 5
Let 3*t**2 - 108 = 0. What is t?
-6, 6
Solve 2*w**4/5 + 2*w**3 - 26*w**2/5 + 14*w/5 = 0 for w.
-7, 0, 1
Solve w**2/3 - 7*w/3 = 0 for w.
0, 7
Determine r, given that -4*r**2 + 1244*r - 4912 = 0.
4, 307
Solve -4*q**3 + 20*q**2 + 56*q = 0.
-2, 0, 7
Factor -512*w**2/5 - 17472*w/5 - 149058/5.
-2*(16*w + 273)**2/5
Find w such that 2*w**3 + 14*w**2 - 112*w - 264 = 0.
-11, -2, 6
Factor -h**3 - 23*h**2 - 34*h + 168.
-(h - 2)*(h + 4)*(h + 21)
Factor -i**4/3 - 4*i**3 - 10*i**2/3 + 4*i + 11/3.
-(i - 1)*(i + 1)**2*(i + 11)/3
Solve 5*f**2 - 10*f - 15 = 0 for f.
-1, 3
Suppose -3*v**4/2 - 52*v**3 - 551*v**2/2 + 133*v + 196 = 0. What is v?
-28, -7, -2/3, 1
