 5*u**3 - 15*u**2/2 - 20*u - 15/2.
5*(u - 3)*(u + 1)*(2*u + 1)/2
Factor -3*p**2/7 - 1230*p/7 - 696.
-3*(p + 4)*(p + 406)/7
Factor -2*a**3/7 - 22*a**2/7 - 20*a/7.
-2*a*(a + 1)*(a + 10)/7
Factor -o**4 + 60*o**3 + o**2 - 60*o.
-o*(o - 60)*(o - 1)*(o + 1)
What is h in 4*h**2 - 56*h - 128 = 0?
-2, 16
Factor i**3 - 14*i**2 - 49*i - 34.
(i - 17)*(i + 1)*(i + 2)
Factor -4*q**3 - 292*q**2 - 5180*q + 5476.
-4*(q - 1)*(q + 37)**2
Factor 2*d**2/7 - 32/7.
2*(d - 4)*(d + 4)/7
Factor 3*p**5/2 + 12*p**4 + 33*p**3 + 36*p**2 + 27*p/2.
3*p*(p + 1)**2*(p + 3)**2/2
Find t such that 7*t**4/5 - 234*t**3/5 + 92*t**2/5 + 234*t/5 - 99/5 = 0.
-1, 3/7, 1, 33
Solve g**3/9 - 298*g**2/3 + 595*g/3 - 892/9 = 0.
1, 892
Determine d, given that 4*d**2 - 1200*d - 1204 = 0.
-1, 301
Determine q, given that 100*q**5 - 380*q**4 - 744*q**3 + 752*q**2 - 160*q = 0.
-2, 0, 2/5, 5
Factor 3*o**3/4 - 999*o**2/4 + 1989*o/4 - 993/4.
3*(o - 331)*(o - 1)**2/4
Determine l so that 4*l**3 - 208*l - 384 = 0.
-6, -2, 8
Let 2*d**4 - 10*d**3 + 2*d**2 + 42*d - 36 = 0. What is d?
-2, 1, 3
Factor p**4 - 2*p**2 + 1.
(p - 1)**2*(p + 1)**2
Suppose 3*s**5/4 - 21*s**4/4 + 45*s**3/4 - 39*s**2/4 + 3*s = 0. Calculate s.
0, 1, 4
Factor -g**3/2 - 40*g**2 + 163*g/2 - 41.
-(g - 1)**2*(g + 82)/2
Let -2*n**5/9 + 4*n**3/3 + 16*n**2/9 + 2*n/3 = 0. Calculate n.
-1, 0, 3
Suppose -2*b**2 + 296*b = 0. Calculate b.
0, 148
Solve i**4 + 5*i**3 + 3*i**2 - 5*i - 4 = 0.
-4, -1, 1
Find v, given that v**2 - 27*v - 28 = 0.
-1, 28
Solve 4*k**5 - 124*k**4 + 1156*k**3 - 3364*k**2 + 3736*k - 1408 = 0 for k.
1, 2, 11, 16
Determine y so that 3*y**4 - 212*y**3 + 4640*y**2 - 30000*y + 18000 = 0.
2/3, 10, 30
Solve 3*j**2 - 126*j + 123 = 0 for j.
1, 41
Determine s so that 3*s**4/7 + 30*s**3/7 - 3*s**2/7 - 246*s/7 + 216/7 = 0.
-9, -4, 1, 2
Determine g, given that 10*g**5 - 152*g**4/3 + 26*g**3 + 188*g**2/3 + 16*g = 0.
-3/5, -1/3, 0, 2, 4
Find w such that w**2/2 - 4*w - 24 = 0.
-4, 12
Solve -3*c**3/4 - 15*c**2/4 + 6*c + 9 = 0 for c.
-6, -1, 2
Factor -2*c**3/7 + 22*c**2/7 - 36*c/7.
-2*c*(c - 9)*(c - 2)/7
Solve -x**5/8 + 19*x**4/8 - 27*x**3/2 + 45*x**2/2 = 0.
0, 3, 6, 10
Let -5*s**4 + 30*s**2 - 40*s + 15 = 0. What is s?
-3, 1
Suppose -14*z**5/3 - 74*z**4/3 + 176*z**3/3 + 560*z**2/3 - 288*z - 96 = 0. What is z?
-6, -3, -2/7, 2
Factor -f**2/3 + 42*f + 127/3.
-(f - 127)*(f + 1)/3
Suppose -2*r**4/5 + 4*r**3/5 + 18*r**2/5 - 4*r/5 - 16/5 = 0. What is r?
-2, -1, 1, 4
Let 36*r**5 + 24*r**4 - 140*r**3 - 96*r**2 - 16*r = 0. What is r?
-2, -1/3, 0, 2
Factor -25*a**4 + 49*a**3 + 102*a**2 - 196*a - 8.
-(a - 2)**2*(a + 2)*(25*a + 1)
Suppose -l**3/4 - 5*l**2 - 17*l/4 + 19/2 = 0. What is l?
-19, -2, 1
Let -4*x**2 - 20144*x/3 - 13424/3 = 0. What is x?
-1678, -2/3
Solve -2*a**5/3 - 20*a**4 - 616*a**3/3 - 2380*a**2/3 - 594*a + 4840/3 = 0.
-11, -5, -4, 1
Determine o so that 21*o**4 - 100*o**3 - 38*o**2 + 68*o - 15 = 0.
-1, 1/3, 3/7, 5
Factor 2*n**5 + 78*n**4.
2*n**4*(n + 39)
Factor 138675*s**2 - 5160*s + 48.
3*(215*s - 4)**2
Suppose r**2/4 - 3*r/2 = 0. What is r?
0, 6
Solve 4*o**3 - 56*o**2 + 28*o + 312 = 0 for o.
-2, 3, 13
Find i such that -171500*i**3 - 58800*i**2 - 6720*i - 256 = 0.
-4/35
Factor -3*o**3 - 37*o**2 - 45*o - 11.
-(o + 1)*(o + 11)*(3*o + 1)
Let -l**5/5 - 9*l**4/5 - l**3 + 29*l**2/5 + 42*l/5 + 16/5 = 0. What is l?
-8, -1, 2
Suppose -2*y**3 + 276*y**2 - 12696*y + 194672 = 0. What is y?
46
Find b, given that 2*b**4/19 + 26*b**3/19 + 22*b**2/19 - 26*b/19 - 24/19 = 0.
-12, -1, 1
Let 9*h**5 + 24*h**4 - 33*h**3 - 84*h**2 - 36*h = 0. Calculate h.
-3, -1, -2/3, 0, 2
Determine b so that -2*b**4/7 + 34*b**3/7 - 136*b**2/7 + 200*b/7 - 96/7 = 0.
1, 2, 12
Find j such that 20*j**4 - 32*j**3 - 36*j**2 + 32*j + 16 = 0.
-1, -2/5, 1, 2
Find o such that o**3/6 - 12*o**2 - 153*o/2 - 117 = 0.
-3, 78
Suppose k**4 - 27*k**3 - 30*k**2 + 56*k = 0. What is k?
-2, 0, 1, 28
Suppose b**4/3 + b**3 + b**2/3 - b - 2/3 = 0. Calculate b.
-2, -1, 1
Determine z, given that -2*z**3 - 6*z**2 + 32*z + 96 = 0.
-4, -3, 4
Solve d**5 - 1883*d**4 + 887358*d**3 - 876074*d**2 - 4421759*d - 2656443 = 0 for d.
-1, 3, 941
Suppose 5*z**3 + 20*z**2 - 400*z + 960 = 0. Calculate z.
-12, 4
Determine u so that -2*u**3/15 + 812*u**2/5 + 2*u/15 - 812/5 = 0.
-1, 1, 1218
Factor 26*d**3/7 + 186*d**2/7 + 288*d/7 + 40/7.
2*(d + 2)*(d + 5)*(13*d + 2)/7
Factor g**4/2 + 5*g**3/2.
g**3*(g + 5)/2
Find v such that -3*v**3 + 42*v**2 + 51*v - 90 = 0.
-2, 1, 15
What is y in 2*y**5/9 - 110*y**4/9 + 1664*y**3/9 - 4048*y**2/9 - 416*y/9 + 5408/9 = 0?
-1, 2, 26
Factor -2*n**3 - 28*n**2 + 98*n - 68.
-2*(n - 2)*(n - 1)*(n + 17)
Let 6*j**4 - 40*j**3 - 72*j**2 + 64*j = 0. Calculate j.
-2, 0, 2/3, 8
Suppose r**4/5 + 19*r**3/5 + 7*r**2 + 17*r/5 = 0. Calculate r.
-17, -1, 0
Let -4*k**2 + 416*k - 2352 = 0. Calculate k.
6, 98
Factor -3*u**3/7 - 27*u**2/7 - 24*u/7 + 180/7.
-3*(u - 2)*(u + 5)*(u + 6)/7
Let 2*j**2 - 900*j + 101250 = 0. What is j?
225
Find n such that -16*n**3 + 2740*n**2 + 2068*n - 688 = 0.
-1, 1/4, 172
Factor -3*s**4/5 - 132*s**3/5 - 378*s**2/5 - 372*s/5 - 123/5.
-3*(s + 1)**3*(s + 41)/5
Factor -11*k**2 + 15*k - 4.
-(k - 1)*(11*k - 4)
Factor x**2/5 - 11*x/5 - 26/5.
(x - 13)*(x + 2)/5
Let 4*x**2 + 88*x + 484 = 0. Calculate x.
-11
Factor 2*o**2/9 - 20*o/3 + 448/9.
2*(o - 16)*(o - 14)/9
What is n in 5*n**4 + 90*n**3 - 215*n**2 - 300*n = 0?
-20, -1, 0, 3
Factor 6*v**2 - 11*v - 2.
(v - 2)*(6*v + 1)
Factor 5*p**2 + 3820*p + 729620.
5*(p + 382)**2
Find z such that -5*z**3 + 2210*z**2 - 6585*z = 0.
0, 3, 439
What is x in 4*x**2/9 - 88*x/9 + 28/3 = 0?
1, 21
Let 4*t**4 - 1820*t**3 - 7328*t**2 - 7344*t = 0. What is t?
-2, 0, 459
Solve -k**5 - 47*k**4 + 97*k**3 - 49*k**2 = 0.
-49, 0, 1
Factor -4*s**4 + 36*s**3 - 80*s**2.
-4*s**2*(s - 5)*(s - 4)
Determine r so that -5*r**5/2 + 165*r**4/2 - 735*r**3/2 + 995*r**2/2 - 210*r = 0.
0, 1, 3, 28
Let -2*n**3/9 + 8*n**2/3 + 22*n - 2420/9 = 0. Calculate n.
-10, 11
Find y, given that 3*y**5/5 + 22*y**4 - 514*y**3/5 + 768*y**2/5 - 449*y/5 + 82/5 = 0.
-41, 1/3, 1, 2
Suppose -2*b**3/9 + 58*b**2/9 - 98*b/3 + 46 = 0. What is b?
3, 23
Factor -h**3/4 - 17*h**2/4 - 31*h/4 - 15/4.
-(h + 1)**2*(h + 15)/4
Factor 8*q**5 - 26*q**4 + 29*q**3 - 11*q**2 - q + 1.
(q - 1)**3*(2*q - 1)*(4*q + 1)
Determine k, given that 3*k**5 + 6*k**4 - 12*k**3 - 6*k**2 + 9*k = 0.
-3, -1, 0, 1
Factor 2*o**5/7 + 30*o**4/7 + 160*o**3/7 + 320*o**2/7 - 512/7.
2*(o - 1)*(o + 4)**4/7
Factor -2*t**3/9 + 160*t**2/9 - 466*t/9 + 308/9.
-2*(t - 77)*(t - 2)*(t - 1)/9
Solve 2*c**4/13 - 20*c**3/13 - 2*c**2/13 + 20*c/13 = 0 for c.
-1, 0, 1, 10
Determine x, given that 5*x**5 + 10*x**4 - 65*x**3 + 50*x**2 = 0.
-5, 0, 1, 2
Solve -4*s**2/7 + 382*s/7 + 192/7 = 0.
-1/2, 96
Determine q so that 2*q**4/13 + 8*q**3/13 - 36*q**2/13 + 40*q/13 - 14/13 = 0.
-7, 1
Factor -4*x**5/7 + 32*x**4/7 - 88*x**3/7 + 96*x**2/7 - 36*x/7.
-4*x*(x - 3)**2*(x - 1)**2/7
Solve -w**3 - 45*w**2 - 168*w + 8624 = 0.
-28, 11
Determine b so that b**5/8 - b**4/2 - 53*b**3/8 - 19*b**2/2 + 13*b/2 + 10 = 0.
-4, -2, -1, 1, 10
Factor -n**5 + 68*n**4 - 384*n**3 + 752*n**2 - 496*n.
-n*(n - 62)*(n - 2)**3
What is w in -153*w**2 - 24*w = 0?
-8/51, 0
Suppose h**3/3 + 3*h**2 + 20*h/3 + 4 = 0. What is h?
-6, -2, -1
Factor -10*i**3/3 + 2*i**2 + 724*i/3 + 96.
-2*(i - 9)*(i + 8)*(5*i + 2)/3
Determine m so that 2*m**2 - 17*m - 9 = 0.
-1/2, 9
Solve -3*z**2 - 30*z + 117 = 0 for z.
-13, 3
Factor -b**2/5 + 1256*b/5 + 2516/5.
-(b - 1258)*(b + 2)/5
Let -2*d**3 + 8*d**2 - 2*d - 12 = 0. Calculate d.
-1, 2, 3
Factor 5*g**5 + 15*g**4 - 30*g**3 - 40*g**2.
5*g**2*(g - 2)*(g + 1)*(g + 4)
Factor 5*z**2 + 105*z - 810.
5*(z - 6)*(z + 27)
Find f, given that 4*f**4 + 512*f**3 + 4244*f**2 - 4760*f = 0.
-119, -10, 0, 1
Let 75*c**3/7 + 2745*c**2/7 - 1107*c/7 + 111/7 = 0. Calculate c.
-37, 1/5
Factor -2*n**3/7 - 138*n**2/7 - 330*n + 350.
-2*(n - 1)*(n + 35)**2/7
Factor i**2 - 130*i + 4225.
(i - 65)**2
Suppose -16*s**3 + 92*s**2 - 56*s - 20 = 0. Calculate s.
-1/4, 1, 5
Factor 2*w**4/3 + 2*w**3/3 - 48*w**2 - 72*w + 576.
2*(w - 8)*(w - 3)*(w + 6)**2/3
Find h such that -2*h**2 - 48*h - 88 = 0.
-22, -2
Factor 5*p**5 - 18*p**4 + 17*p**3 - 4*p.
p*(p - 2)*(p - 1)**2*(5*p + 2)
Let g**4/2 + 107*g**3/2 + 1890*g**2 + 21384*g - 23328 = 0. What is g?
-36, 1
Factor -3*z**2 + 696*z - 40368.
-3*(z - 116)**2
Factor -3*y**4 + 24*y**3