 38*s**2 + 84*s.
-2*s*(s - 21)*(s + 2)
Factor -3*s**4 - 27*s**3 + 33*s**2 + 27*s - 30.
-3*(s - 1)**2*(s + 1)*(s + 10)
Find k such that -20*k**4 + 724*k**3 - 31256*k**2/5 - 26768*k/5 - 5472/5 = 0.
-2/5, 18, 19
Factor -2*x**3/5 + 14*x/5 - 12/5.
-2*(x - 2)*(x - 1)*(x + 3)/5
Factor -22*m**2 - 14*m + 8.
-2*(m + 1)*(11*m - 4)
Factor 2*o**3 + 16*o**2 + 38*o + 24.
2*(o + 1)*(o + 3)*(o + 4)
Factor p**3/7 + 4*p**2/7 + 3*p/7.
p*(p + 1)*(p + 3)/7
Determine g so that 2*g**5/7 - 26*g**4/7 - 8*g**3/7 + 104*g**2/7 = 0.
-2, 0, 2, 13
What is v in -4*v**3 + 624*v**2 - 32448*v + 562432 = 0?
52
Factor 639*n**3 - 444*n**2 - 201*n + 6.
3*(n - 1)*(3*n + 1)*(71*n - 2)
Determine a so that -a**4 + 41*a**3 - 222*a**2 - 4896*a + 10368 = 0.
-9, 2, 24
Suppose 4*j**3/9 - 28*j**2/9 + 8*j/9 + 160/9 = 0. What is j?
-2, 4, 5
Determine g so that 405*g**4 + 67275*g**3 + 74310*g**2 + 9860*g - 6600 = 0.
-165, -2/3, 2/9
Factor q**2/2 - 23*q/10 + 12/5.
(q - 3)*(5*q - 8)/10
Let -i**2/2 - 63*i/2 + 284 = 0. What is i?
-71, 8
Determine d so that -d**5/2 + 35*d**4/2 - 103*d**3/2 - 4935*d**2/2 + 9702*d = 0.
-11, 0, 4, 21
Factor 2*w**2 - 436*w + 23762.
2*(w - 109)**2
Find a, given that 5*a**4 + 95*a**3 - 5*a**2 - 95*a = 0.
-19, -1, 0, 1
Factor 2*y**3/11 - 3570*y**2/11 + 2124150*y/11 - 421289750/11.
2*(y - 595)**3/11
Factor -4*u**2 + 720*u - 716.
-4*(u - 179)*(u - 1)
Let 70*z**3/3 - 2944*z**2/3 + 10346*z - 588 = 0. What is z?
2/35, 21
Factor 2*m**2/19 + 98*m/19.
2*m*(m + 49)/19
What is k in 3*k**3 - 15*k**2 - 66*k - 48 = 0?
-2, -1, 8
Suppose 3*q**3 + 117*q**2 - 3*q - 117 = 0. Calculate q.
-39, -1, 1
Suppose -2*p**5/3 - 16*p**4/3 + 166*p**3/3 + 1652*p**2/3 + 2752*p/3 + 1280/3 = 0. Calculate p.
-8, -1, 10
Solve 2*j**5 - 34*j**4 + 160*j**3 - 128*j**2 = 0.
0, 1, 8
Factor -4*z**4/3 + 12*z**3 - 40*z**2 + 176*z/3 - 32.
-4*(z - 3)*(z - 2)**3/3
Suppose 5*j**3 + 35*j**2 - 90*j = 0. Calculate j.
-9, 0, 2
Factor 2*k**5/5 + 2*k**4/5 - 6*k**3/5 - 2*k**2 - 4*k/5.
2*k*(k - 2)*(k + 1)**3/5
Determine m so that -2*m**3 + 70*m**2 + 146*m + 74 = 0.
-1, 37
Suppose -4*j**4 + 128*j**3 - 1140*j**2 + 1800*j = 0. What is j?
0, 2, 15
What is g in 2*g**4 + 20*g**3 + 50*g**2 = 0?
-5, 0
Solve 4*x**5 + 4*x**4 - 116*x**3 + 316*x**2 - 320*x + 112 = 0 for x.
-7, 1, 2
Factor x**4 - 11*x**3/2 + 6*x**2 + x/2 - 2.
(x - 4)*(x - 1)**2*(2*x + 1)/2
Solve -2*l**3/5 + 66*l**2/5 - 118*l/5 - 186/5 = 0.
-1, 3, 31
Determine g, given that g**5 + 65*g**4 + 1315*g**3 + 6095*g**2 - 42320*g + 48668 = 0.
-23, 2
Factor -2*a**4/3 - 28*a**3/3 - 122*a**2/3 - 56*a - 24.
-2*(a + 1)**2*(a + 6)**2/3
Determine k so that -14*k**2/5 + 2698*k/5 + 772/5 = 0.
-2/7, 193
What is g in g**2/4 - 73*g/2 + 732 = 0?
24, 122
What is p in 3*p**5 - 528*p**4 + 22140*p**3 + 97200*p**2 = 0?
-4, 0, 90
Let -3*j**4/5 - 564*j**3/5 + 579*j**2/5 + 2256*j/5 - 2268/5 = 0. What is j?
-189, -2, 1, 2
Determine a, given that 12*a**2 - 105*a - 27 = 0.
-1/4, 9
Factor -2*q**4/13 - 150*q**3/13 - 3402*q**2/13 - 13122*q/13 + 236196/13.
-2*(q - 6)*(q + 27)**3/13
Factor -2*y**3/13 + 206*y**2/13 - 1544*y/13 + 2280/13.
-2*(y - 95)*(y - 6)*(y - 2)/13
Factor 3*x**2/2 - 63*x/2 - 33.
3*(x - 22)*(x + 1)/2
Factor 2*q**2/3 + 86*q/3 + 164/3.
2*(q + 2)*(q + 41)/3
Factor 4*t**5 - 20*t**4 + 16*t**3.
4*t**3*(t - 4)*(t - 1)
Factor -27*t**2/8 + 8433*t/2 - 2633907/2.
-3*(3*t - 1874)**2/8
Factor -4*o**2 - 392*o + 396.
-4*(o - 1)*(o + 99)
Suppose -5*j**3 - 125*j**2 + 140*j + 260 = 0. Calculate j.
-26, -1, 2
Find h such that 15*h**2 - 609*h + 360 = 0.
3/5, 40
Factor -p**3/4 - 7*p**2/4 - 7*p/4 + 15/4.
-(p - 1)*(p + 3)*(p + 5)/4
Suppose 3*v**5 - 38*v**4 + 159*v**3 - 240*v**2 + 100*v = 0. What is v?
0, 2/3, 2, 5
Factor l**5/5 - l**3/5.
l**3*(l - 1)*(l + 1)/5
Solve -4*p**3/7 + 152*p**2/7 - 1700*p/7 + 4624/7 = 0.
4, 17
Factor 2*h**2/7 - 2*h/7 - 220/7.
2*(h - 11)*(h + 10)/7
Factor 3*p**3 - 15*p**2 - 18*p.
3*p*(p - 6)*(p + 1)
Factor -w**2 - 27*w + 324.
-(w - 9)*(w + 36)
Factor 2*c**3/15 - 446*c**2/15 + 884*c/15.
2*c*(c - 221)*(c - 2)/15
Factor 2*v**3/5 + 104*v**2/5 - 2*v/5 - 104/5.
2*(v - 1)*(v + 1)*(v + 52)/5
Let -2770658*b**2/9 + 9416*b/9 - 8/9 = 0. What is b?
2/1177
Factor -4*a**2/3 + a + 1/3.
-(a - 1)*(4*a + 1)/3
Let 5*o**4 + 35*o**3 + 55*o**2 + 25*o = 0. What is o?
-5, -1, 0
Factor 15*m**2 + 864*m - 3696.
3*(m - 4)*(5*m + 308)
Determine s so that -7*s**4/2 + 29*s**3 - 64*s**2 + 16*s = 0.
0, 2/7, 4
Factor -2*s**4/5 + 6*s**3/5 - 4*s**2/5.
-2*s**2*(s - 2)*(s - 1)/5
What is w in -28*w**3 + 80*w**2 + 44*w - 96 = 0?
-8/7, 1, 3
Determine f so that 4*f**4/3 + 124*f**3 + 1440*f**2 + 12944*f/3 + 3840 = 0.
-80, -9, -2
Factor -3*t**2 + 12*t - 9.
-3*(t - 3)*(t - 1)
Factor -10*d**3 - 6*d**2 + 40*d + 24.
-2*(d - 2)*(d + 2)*(5*d + 3)
Factor 2*a**3 - 16*a**2 - 62*a - 44.
2*(a - 11)*(a + 1)*(a + 2)
Factor 2*c**2 - 296*c + 10952.
2*(c - 74)**2
Factor 4*u**4 - 40*u**3 + 93*u**2 - 65*u + 14.
(u - 7)*(u - 2)*(2*u - 1)**2
Let 3*k**2 - 63*k = 0. What is k?
0, 21
Solve 16*x**4/5 - 8*x**3/5 - 2703*x**2/5 + 1352*x/5 - 169/5 = 0 for x.
-13, 1/4, 13
Factor 2*u**3/3 - 44*u**2/3 - 50*u/3 + 92/3.
2*(u - 23)*(u - 1)*(u + 2)/3
Factor t**4 - 8*t**3 - 9*t**2.
t**2*(t - 9)*(t + 1)
Factor -n**2/3 + 128*n/3 - 127/3.
-(n - 127)*(n - 1)/3
Solve 2*f**2 + 22*f + 20 = 0 for f.
-10, -1
Factor -y**2/6 + 5*y/6 + 52/3.
-(y - 13)*(y + 8)/6
Solve 8*i**3/17 + 18*i**2/17 - 20*i/17 - 6/17 = 0 for i.
-3, -1/4, 1
Suppose 2*w**4 + 28*w**3 - 62*w**2 + 32*w = 0. Calculate w.
-16, 0, 1
Factor r**3/4 + 3*r**2/2 - 6*r - 16.
(r - 4)*(r + 2)*(r + 8)/4
Factor -2*l**2/9 - 16*l/9 + 2.
-2*(l - 1)*(l + 9)/9
Let -11*g**3 + 5*g**2 + 6*g = 0. Calculate g.
-6/11, 0, 1
Factor -2*g**3/25 - 12*g**2/25 - 2*g/5.
-2*g*(g + 1)*(g + 5)/25
Determine o so that 42*o**2/11 - 7422*o/11 - 2124/11 = 0.
-2/7, 177
Factor q**4 - 6*q**3 + 8*q**2.
q**2*(q - 4)*(q - 2)
Factor -b**2/3 - 280*b/3 - 93.
-(b + 1)*(b + 279)/3
Solve -5*p**4/4 + 805*p**3/2 + 4865*p**2/4 + 1625*p/2 = 0.
-2, -1, 0, 325
Factor 2*a**2 - 32*a - 264.
2*(a - 22)*(a + 6)
Let -5*s**2/3 + 1105*s/3 + 370 = 0. Calculate s.
-1, 222
Factor 3*n**4/8 + 3*n**3/4 - 3*n/4 - 3/8.
3*(n - 1)*(n + 1)**3/8
Find c, given that c**2/5 - 266*c/5 + 789/5 = 0.
3, 263
Determine f, given that -64*f**5 - 96*f**4 + 604*f**3 - 196*f**2 - 216*f - 32 = 0.
-4, -1/4, 1, 2
Factor -2*l**2 - 1116*l - 155682.
-2*(l + 279)**2
Determine r so that -39*r**2/8 - 339*r/2 + 216 = 0.
-36, 16/13
Factor 68*y**3/9 - 134*y**2/9 - 4*y/9.
2*y*(y - 2)*(34*y + 1)/9
Find z such that -z**2/3 + 56*z/3 - 245 = 0.
21, 35
Suppose 2*c**4 - 4*c**2 + 2 = 0. What is c?
-1, 1
Let -3*r**5 + 126*r**4 + 5103*r**3 - 5226*r**2 = 0. Calculate r.
-26, 0, 1, 67
Factor b**3 - 25*b**2 + 200*b - 500.
(b - 10)**2*(b - 5)
Suppose -5*c**4 + 130*c**3 - 300*c**2 - 1010*c - 575 = 0. What is c?
-1, 5, 23
Factor 4*y**3/3 - 268*y**2/3 - 548*y/3 - 92.
4*(y - 69)*(y + 1)**2/3
Determine x, given that 2*x**3/5 + 108*x**2/5 + 462*x/5 - 1372/5 = 0.
-49, -7, 2
Solve 3*l**5/5 + 57*l**4 + 6321*l**3/5 - 21609*l**2/5 = 0.
-49, 0, 3
Solve 2*z**5 + 28*z**4/3 + 32*z**3/3 + 4*z**2/3 - 2*z = 0.
-3, -1, 0, 1/3
Determine r so that -12*r**3/5 - 543*r**2/5 - 4023*r/5 - 972/5 = 0.
-36, -9, -1/4
Factor 7*w**2 + 215*w - 62.
(w + 31)*(7*w - 2)
Factor -3*w**4 + 564*w**3 - 26508*w**2.
-3*w**2*(w - 94)**2
Factor -k**4/6 - 5*k**3/3 - 7*k**2/6 + 3*k.
-k*(k - 1)*(k + 2)*(k + 9)/6
Factor 2*v**2 - 150*v.
2*v*(v - 75)
Factor 5*k**3/2 - 53*k**2 - 89*k/2 + 11.
(k - 22)*(k + 1)*(5*k - 1)/2
Factor 32*m**2/7 - 10*m + 12/7.
2*(m - 2)*(16*m - 3)/7
Factor 2*h**3/11 - 162*h**2/11 + 68*h + 912/11.
2*(h - 76)*(h - 6)*(h + 1)/11
Suppose 5*a**2 - 125*a - 270 = 0. What is a?
-2, 27
Let g**3 + 131*g**2 - 265*g + 133 = 0. What is g?
-133, 1
Factor 5*d**2 + 175*d - 2530.
5*(d - 11)*(d + 46)
Determine u, given that u**5/3 + 19*u**4 + 56*u**3/3 = 0.
-56, -1, 0
Factor -m**3 + 587*m**2 - 86435*m + 85849.
-(m - 293)**2*(m - 1)
What is y in -y**2 - 72*y - 140 = 0?
-70, -2
Solve 4*x**5 - 60*x**4 + 272*x**3 - 240*x**2 - 576*x = 0.
-1, 0, 4, 6
Factor -722*d**3/7 + 89680*d**2/7 - 18856*d/7 + 992/7.
-2*(d - 124)*(19*d - 2)**2/7
Factor 15*m**4/8 - 13*m**3/8 - 23*m**2/2 - 3*m/2.
m*(m - 3)*(m + 2)*(15*m + 2)/8
Solve -2*v**2/9 - 8*v/3 + 26/9 = 0 for v.
-13, 1
Let -v**2 - 234*v - 13689 = 0. Calculate v.
-117
Factor -2*i**4/3 - 40*i**3/3 + 2296*i**2/3 - 6272*i.
-2*i*(i - 14)**2*(