
3*p*(p + 32)
Suppose -2*j**3/21 + 38*j/7 + 16/3 = 0. Calculate j.
-7, -1, 8
Suppose -b**4/3 - 22*b**3/3 - 51*b**2 - 272*b/3 + 448/3 = 0. Calculate b.
-8, -7, 1
Factor 2*s**4/3 + 10*s**3/3 + 4*s**2.
2*s**2*(s + 2)*(s + 3)/3
Factor -5*w**2 - 155*w + 510.
-5*(w - 3)*(w + 34)
Factor k**4/4 + 31*k**3/4 + 75*k**2/4 - 279*k/4 - 189.
(k - 3)*(k + 3)**2*(k + 28)/4
Factor -s**4/5 - 29*s**3/5 - 193*s**2/5 + 57*s + 90.
-(s - 2)*(s + 1)*(s + 15)**2/5
Let -5*m**3/3 - 178*m**2/3 + 24*m = 0. What is m?
-36, 0, 2/5
Determine u, given that -8*u**3 - 140*u**2/3 - 32*u + 20/3 = 0.
-5, -1, 1/6
Factor -2*g**2/21 - 12*g/7 - 30/7.
-2*(g + 3)*(g + 15)/21
Determine n, given that -n**2 - 48*n - 576 = 0.
-24
Factor 2*w**2/3 - 340*w/3 + 14450/3.
2*(w - 85)**2/3
Factor 2*c**4/7 - 40*c**3/7 - 6*c**2.
2*c**2*(c - 21)*(c + 1)/7
Suppose -2*j**5 - 9*j**4/2 + 13*j**3 - 9*j**2/2 - 2*j = 0. Calculate j.
-4, -1/4, 0, 1
Factor 2*u**2 - 36*u + 34.
2*(u - 17)*(u - 1)
Factor -w**5 - 3*w**4 + 69*w**3 + 235*w**2 - 1200*w - 4500.
-(w - 6)**2*(w + 5)**3
Factor -v**2/6 - 535*v/3 - 286225/6.
-(v + 535)**2/6
Let -g**4 + 308*g**3 + 310*g**2 - 308*g - 309 = 0. What is g?
-1, 1, 309
Let -18*w**2/11 - 46*w/11 + 300/11 = 0. Calculate w.
-50/9, 3
Suppose y**3 - 16*y**2 - 36*y = 0. Calculate y.
-2, 0, 18
Factor 2*n**3/13 + 278*n**2/13 - 562*n/13 + 282/13.
2*(n - 1)**2*(n + 141)/13
Suppose -2*v**3/13 + 10*v**2/13 - 12*v/13 = 0. What is v?
0, 2, 3
What is s in 4*s**5 - 72*s**4 + 124*s**3 + 72*s**2 - 128*s = 0?
-1, 0, 1, 2, 16
Let -2*h**2/5 + 540*h - 2698/5 = 0. Calculate h.
1, 1349
Suppose -2*l**4 - 48*l**3 - 368*l**2 - 960*l - 800 = 0. What is l?
-10, -2
What is z in z**2 - 108*z = 0?
0, 108
Factor -5*q**4 + 240*q**3 - 3105*q**2 + 5290*q.
-5*q*(q - 23)**2*(q - 2)
Let -22*l**4/9 - 2*l**3 + 4*l**2/9 = 0. Calculate l.
-1, 0, 2/11
Factor -12*g**3 - 68*g**2 - 40*g.
-4*g*(g + 5)*(3*g + 2)
Let -2*r**5/15 + 4*r**4/15 + 22*r**3/15 - 8*r**2/15 - 56*r/15 - 32/15 = 0. Calculate r.
-2, -1, 2, 4
Solve -5*g**2 - 6245*g + 6250 = 0.
-1250, 1
Let 4*d**5 - 8*d**4 - 28*d**3 - 16*d**2 = 0. Calculate d.
-1, 0, 4
Let -f**3 + 466*f**2 - 465*f = 0. What is f?
0, 1, 465
Let 2*x**5/11 - 42*x**4/11 - 56*x**3/11 + 256*x**2/11 + 192*x/11 - 32 = 0. Calculate x.
-2, 1, 2, 22
Factor -2*h**2/3 - 5234*h/15 - 2092/15.
-2*(h + 523)*(5*h + 2)/15
Suppose y**3/11 + 49*y**2/11 + 138*y/11 = 0. What is y?
-46, -3, 0
Let -p**5 + 3*p**4 - 2*p**3 = 0. Calculate p.
0, 1, 2
What is o in -3*o**2/5 + 6*o/5 = 0?
0, 2
Factor 3*i**3/8 - 111*i**2/8 - 123*i/2.
3*i*(i - 41)*(i + 4)/8
Determine c, given that 4*c**3 + 42*c**2 + 20*c = 0.
-10, -1/2, 0
What is i in -i**3 + 38*i**2 = 0?
0, 38
Factor -5*f**3 + 195*f**2 - 375*f + 185.
-5*(f - 37)*(f - 1)**2
Factor 2*o**2/3 - 188*o/3 + 62.
2*(o - 93)*(o - 1)/3
Let 2*d**5/17 + 38*d**4/17 + 138*d**3/17 - 398*d**2/17 + 220*d/17 = 0. What is d?
-11, -10, 0, 1
Factor o**2/5 + 76*o/5 + 132.
(o + 10)*(o + 66)/5
Factor -b**2 + 37*b - 160.
-(b - 32)*(b - 5)
Solve -o**4/4 + 11*o**3/4 - 5*o**2/4 - 47*o/4 - 15/2 = 0.
-1, 3, 10
Factor 5*x**4 - 100*x**3 + 580*x**2 - 1280*x + 960.
5*(x - 12)*(x - 4)*(x - 2)**2
Suppose 12*y**3/11 + 46*y**2/11 - 82*y/11 - 116/11 = 0. Calculate y.
-29/6, -1, 2
Let h**3/9 - 25*h**2/3 - h/9 + 25/3 = 0. What is h?
-1, 1, 75
Solve -5*g**5 - 30*g**4 - 55*g**3 - 30*g**2 = 0 for g.
-3, -2, -1, 0
Determine x, given that 44*x**2/3 - 8*x/3 = 0.
0, 2/11
Factor -2*p**2 - 14*p - 24.
-2*(p + 3)*(p + 4)
Factor -5*c**4/4 - 15*c**3/2 - 25*c**2/4 + 15*c.
-5*c*(c - 1)*(c + 3)*(c + 4)/4
Factor g**4 + 18*g**3 - g**2 - 18*g.
g*(g - 1)*(g + 1)*(g + 18)
Factor -74*z**2/3 - 20*z/9.
-2*z*(111*z + 10)/9
Factor -2*q**2/3 - 52*q/15 + 42/5.
-2*(q + 7)*(5*q - 9)/15
What is s in -24*s**5 - 294*s**4 - 765*s**3 - 570*s**2 - 21*s + 54 = 0?
-9, -2, -1, -1/2, 1/4
Factor 2*v**2/7 + 48*v + 334/7.
2*(v + 1)*(v + 167)/7
Factor 295*d**2 + 895*d + 30.
5*(d + 3)*(59*d + 2)
Solve -3*z**3/4 - 129*z**2/2 - 753*z/4 - 249/2 = 0 for z.
-83, -2, -1
Determine t, given that 4*t**3 - 428*t**2 + 2056*t - 1632 = 0.
1, 4, 102
Factor -3*s**2/5 - 3444*s/5 - 988428/5.
-3*(s + 574)**2/5
Let 2*q**2 - 1108*q + 3306 = 0. What is q?
3, 551
Factor y**3/11 - 18*y**2/11 + 15*y/11 + 34/11.
(y - 17)*(y - 2)*(y + 1)/11
Let -2*a**5 + 2*a**4 + 26*a**3 - 2*a**2 - 96*a - 72 = 0. Calculate a.
-2, -1, 3
Determine s so that 129*s**5 + 643*s**4 + 893*s**3 + 373*s**2 - 6*s = 0.
-3, -1, 0, 2/129
Factor 5*d**4 + 25*d**3.
5*d**3*(d + 5)
Factor -2*j**3 - 46*j**2 - 86*j - 42.
-2*(j + 1)**2*(j + 21)
Let w**3/6 - 8*w**2/3 + 26*w/3 - 8 = 0. Calculate w.
2, 12
Solve 2*t**2/3 - 30*t + 264 = 0 for t.
12, 33
What is b in 4*b**5 + 28*b**4 - 164*b**3 + 148*b**2 + 160*b - 176 = 0?
-11, -1, 1, 2
Suppose -2*x**3/9 + 12*x**2 - 162*x = 0. What is x?
0, 27
Factor j**4 + 7*j**3 + 5*j**2 - 7*j - 6.
(j - 1)*(j + 1)**2*(j + 6)
Suppose -5*i**4/2 + 295*i**3/2 - 3795*i**2/2 - 295*i/2 + 1900 = 0. What is i?
-1, 1, 19, 40
Solve -27*f**4 - 198*f**3 - 363*f**2 - 252*f - 60 = 0.
-5, -1, -2/3
Find p such that -54*p**3 - 1074*p**2/11 - 576*p/11 - 96/11 = 0.
-1, -4/9, -4/11
Factor 4*w**5 - 24*w**4 - 36*w**3 + 56*w**2.
4*w**2*(w - 7)*(w - 1)*(w + 2)
Factor -3*c**2/8 + 12*c - 96.
-3*(c - 16)**2/8
Factor w**2/3 + 8*w/3 + 7/3.
(w + 1)*(w + 7)/3
Suppose -2*c**3/11 - 16*c**2/11 - 8*c/11 + 96/11 = 0. Calculate c.
-6, -4, 2
Let -2*n**2 + 140*n - 2450 = 0. Calculate n.
35
Factor 3*f**2/5 + 45*f - 462/5.
3*(f - 2)*(f + 77)/5
Factor -2*g**4/9 - 20*g**3/9 - 14*g**2/3.
-2*g**2*(g + 3)*(g + 7)/9
Determine q so that -q**5 - 12*q**4 + 2*q**3 + 24*q**2 - q - 12 = 0.
-12, -1, 1
Let -h**5/3 - 25*h**4 - 1367*h**3/3 + 1519*h**2/3 + 456*h - 1444/3 = 0. Calculate h.
-38, -1, 1
Suppose -2*l**5/5 - 24*l**4 - 2098*l**3/5 - 8268*l**2/5 + 8424*l/5 + 34992/5 = 0. Calculate l.
-27, -6, -2, 2
Find k, given that -3*k**5/7 - 69*k**4/7 - 354*k**3/7 + 576*k**2/7 + 864*k/7 = 0.
-12, -1, 0, 2
Determine a so that 10*a**5/11 - 12*a**4/11 - 46*a**3/11 + 56*a**2/11 + 24*a/11 - 32/11 = 0.
-2, -4/5, 1, 2
Factor -4*x**3/5 - 56*x**2/5 + 272*x/5 - 288/5.
-4*(x - 2)**2*(x + 18)/5
Solve 2*t**3/5 - 82*t**2/5 - 682*t/5 + 40362/5 = 0 for t.
-21, 31
Factor 2*b**5 - 12*b**4 + 4*b**3 + 40*b**2 - 54*b + 20.
2*(b - 5)*(b - 1)**3*(b + 2)
Determine v, given that 12*v**4 + 3*v**3 - 36*v**2 + 15*v + 6 = 0.
-2, -1/4, 1
Factor -g**2/3 + 17*g + 54.
-(g - 54)*(g + 3)/3
Factor 5*n**5 - 35*n**4 - 190*n**3 + 1850*n**2 - 2375*n - 4375.
5*(n - 5)**3*(n + 1)*(n + 7)
Solve g**5/3 + 3*g**4 + 26*g**3/3 + 34*g**2/3 + 7*g + 5/3 = 0 for g.
-5, -1
Find y, given that 6*y**5/11 - 182*y**4/11 + 380*y**3/11 + 360*y**2/11 - 656*y/11 - 448/11 = 0.
-1, -2/3, 2, 28
Factor -2*x**2 + 3788*x - 3786.
-2*(x - 1893)*(x - 1)
Factor -4*z**4 + 20*z**3 - 24*z**2 - 16*z + 32.
-4*(z - 2)**3*(z + 1)
Find t such that -90*t**4 + 164*t**3 + 40*t**2 - 16*t = 0.
-2/5, 0, 2/9, 2
Solve -o**3 + 4*o**2 + 19*o + 14 = 0.
-2, -1, 7
Factor -2*j**4/13 + 846*j**3/13 - 2526*j**2/13 + 194*j - 840/13.
-2*(j - 420)*(j - 1)**3/13
Determine k so that 75*k**5/7 + 30*k**4 - 1158*k**3/7 + 1548*k**2/7 - 837*k/7 + 162/7 = 0.
-6, 3/5, 1
What is u in 5*u**4/3 + 40*u**3/3 + 10*u**2/3 - 160*u/3 + 35 = 0?
-7, -3, 1
Solve -3*f**3 + 180*f**2 - 1431*f + 2754 = 0.
3, 6, 51
Factor 6*s**2/7 - 463*s/7 + 11.
(s - 77)*(6*s - 1)/7
Factor 5*p**4/2 + p**3 - 10*p**2 - 4*p.
p*(p - 2)*(p + 2)*(5*p + 2)/2
Determine k so that -5*k**3 - 170*k**2 = 0.
-34, 0
Solve -15*z**4/7 + 39*z**3/7 - 12*z**2/7 - 12*z/7 = 0 for z.
-2/5, 0, 1, 2
Determine w, given that 2*w**2 - 28*w + 80 = 0.
4, 10
Find u such that u**3/8 + 35*u**2/4 = 0.
-70, 0
Find r such that -2*r**3/15 + 8*r**2/15 + 58*r/15 + 16/5 = 0.
-3, -1, 8
Suppose -2*l**2 + 21752*l - 59143688 = 0. What is l?
5438
What is r in -4*r**4/5 - 8*r**3/5 + 16*r**2/5 + 8*r/5 - 12/5 = 0?
-3, -1, 1
Suppose 2*k**4/7 - 6*k**3/7 - 44*k**2/7 + 48*k/7 = 0. Calculate k.
-4, 0, 1, 6
Determine r, given that 3*r**2 + 15*r = 0.
-5, 0
Factor 2*o**2/3 + 52*o/3 + 338/3.
2*(o + 13)**2/3
Factor t**3 - 2334*t**2 + 1359552*t + 2728448.
(t - 1168)**2*(t + 2)
Suppose 4*s**2 + 352*s + 348 = 0. Calculate s.
-87, -1
Suppose -3*t**3 + 1659*t**2 - 231825*t + 680625 = 0. What is t?
3, 275
Suppose 2*a**3/9 - 70*a**2/9 + 64*a + 72 = 0. What is a?
-1, 18
Suppose -p**4/5 - 8*p**3/5 - 21*p**2/5 - 22*p/5 - 8/5 = 0. Calculate p.
-4, -2, -1
Deter