, 18
Factor -2*b**4/19 - 40*b**3/19 - 74*b**2/19 - 36*b/19.
-2*b*(b + 1)**2*(b + 18)/19
Suppose 2*u**4 - 494*u**3 + 40836*u**2 - 1143080*u + 1102736 = 0. Calculate u.
1, 82
Suppose 4*j**5 - 96*j**4 = 0. What is j?
0, 24
What is i in -i**2/5 + 1521*i/5 = 0?
0, 1521
Factor 3*l**3 - 109*l**2 - 308*l - 156.
(l - 39)*(l + 2)*(3*l + 2)
Solve 3*a**3 - 207*a**2 + 3240*a + 11664 = 0.
-3, 36
Factor -2*x**3/11 - 2942*x**2/11 + 5890*x/11 - 2946/11.
-2*(x - 1)**2*(x + 1473)/11
Factor -4*y**4 + 120*y**3 - 900*y**2.
-4*y**2*(y - 15)**2
Determine p so that 10*p**5/11 + 1514*p**4/11 + 75574*p**3/11 + 1200438*p**2/11 - 2184840*p/11 - 1061208/11 = 0.
-51, -2/5, 2
Factor -3*j**3 - 8091*j**2 - 7273809*j - 2179718097.
-3*(j + 899)**3
Factor 2*d**3/7 - 8*d**2/7 + 10*d/7 - 4/7.
2*(d - 2)*(d - 1)**2/7
Factor -3*m**2 - 201*m + 204.
-3*(m - 1)*(m + 68)
Suppose -2*f**2/15 + 208*f/15 + 1014/5 = 0. Calculate f.
-13, 117
Factor 4*j**3/9 + 848*j**2/9 + 44944*j/9.
4*j*(j + 106)**2/9
Find j such that -14*j**4/23 - 88*j**3/23 + 536*j**2/23 + 160*j/23 = 0.
-10, -2/7, 0, 4
Find u such that -4*u**3 + 140*u**2/3 + 16*u = 0.
-1/3, 0, 12
Factor 5*w**2 + 20*w + 15.
5*(w + 1)*(w + 3)
Factor 3*n**4/2 + 27*n**3.
3*n**3*(n + 18)/2
Find c such that -c**3/6 - 163*c**2/3 = 0.
-326, 0
Factor v**4 - 14*v**3 + 69*v**2 - 136*v + 80.
(v - 5)*(v - 4)**2*(v - 1)
What is u in 2*u**4 + 10*u**3 + 16*u**2 + 8*u = 0?
-2, -1, 0
Find b, given that b**3/9 - 203*b**2/9 + 9328*b/9 + 11236 = 0.
-9, 106
Determine y so that 3*y**2 + 168*y + 165 = 0.
-55, -1
Factor 4*h**4/9 + 260*h**3/9 - 268*h**2/3 + 812*h/9 - 272/9.
4*(h - 1)**3*(h + 68)/9
Find t, given that 4*t**5 - 24*t**4 - 92*t**3 + 240*t**2 - 128*t = 0.
-4, 0, 1, 8
Factor 5*x**2 + 4930*x + 1215245.
5*(x + 493)**2
Factor -g**5/9 - 5*g**4/9 - 8*g**3/9 - 4*g**2/9.
-g**2*(g + 1)*(g + 2)**2/9
What is a in -2*a**5/17 - 2*a**4/17 + 18*a**3/17 + 18*a**2/17 = 0?
-3, -1, 0, 3
Factor c**5 + 5*c**4 - 30*c**3 + 50*c**2 - 35*c + 9.
(c - 1)**4*(c + 9)
Solve 2*g**4 - 22*g**3 + 20*g**2 = 0 for g.
0, 1, 10
Let 2*m**5/13 - 36*m**4/13 - 214*m**3/13 - 360*m**2/13 - 184*m/13 = 0. What is m?
-2, -1, 0, 23
Let 2*c**4 - 30*c**3 + 118*c**2 - 90*c = 0. Calculate c.
0, 1, 5, 9
Solve 2*c**2 - 286*c/7 - 24 = 0.
-4/7, 21
Factor i**2/3 - 28*i - 940/3.
(i - 94)*(i + 10)/3
Factor -n**2 + n.
-n*(n - 1)
Factor -3*z**2/8 - 427*z/2 - 569/8.
-(z + 569)*(3*z + 1)/8
Factor -3*n**3/5 - 567*n**2/5 + 1728*n/5.
-3*n*(n - 3)*(n + 192)/5
Find a, given that -3*a**3/7 - 141*a**2/7 - 786*a/7 + 2160/7 = 0.
-40, -9, 2
Factor -r**3/3 + 8*r**2/3 - 17*r/3 + 10/3.
-(r - 5)*(r - 2)*(r - 1)/3
Suppose 16*k**5/7 - 8*k**4 - 39*k**3/7 + 22*k**2 + 121*k/7 = 0. What is k?
-1, 0, 11/4
Factor 2*v**2/5 - 66*v/5 + 36.
2*(v - 30)*(v - 3)/5
Factor 2*s**2 + 26*s + 60.
2*(s + 3)*(s + 10)
Determine k, given that -k**3/7 + 2*k**2/7 + 13*k/7 + 10/7 = 0.
-2, -1, 5
Find s such that -36*s**5 + 127*s**4 - 42*s**3 - 43*s**2 - 6*s = 0.
-1/4, -2/9, 0, 1, 3
Solve -2*i**5/9 + 376*i**4/9 + 1922*i**3/9 + 1544*i**2/9 = 0.
-4, -1, 0, 193
Solve -2*j**3/5 - 12*j**2/5 + 6*j - 16/5 = 0.
-8, 1
Find m such that m**5/3 + 10*m**4/3 + 38*m**3/3 + 68*m**2/3 + 19*m + 6 = 0.
-3, -2, -1
Factor -4*j**4 + 4328*j**3/3 + 1444*j**2/3.
-4*j**2*(j - 361)*(3*j + 1)/3
Factor 3*a**2 + 48*a + 192.
3*(a + 8)**2
Find c, given that 98*c**4 - 138712*c**3/3 + 49044584*c**2/9 + 9353152*c/9 + 445568/9 = 0.
-2/21, 236
Factor v**2/2 + 26*v + 147/2.
(v + 3)*(v + 49)/2
Factor -4*a**4/7 + 4*a**3 - 8*a**2 + 32*a/7.
-4*a*(a - 4)*(a - 2)*(a - 1)/7
Factor 19*w**3 + 32*w**2 - 69*w + 18.
(w - 1)*(w + 3)*(19*w - 6)
Factor -2*k**4/5 - 2*k**3 - 14*k**2/5 - 6*k/5.
-2*k*(k + 1)**2*(k + 3)/5
Determine k so that -2*k**2 - 66*k - 520 = 0.
-20, -13
Let -g**5/2 + 11*g**4 - 50*g**3 + 29*g**2 + 101*g/2 - 40 = 0. Calculate g.
-1, 1, 5, 16
Factor -l**2 - 54*l - 104.
-(l + 2)*(l + 52)
Factor 2*o**2/5 + 18*o/5 - 76.
2*(o - 10)*(o + 19)/5
Find o, given that 2*o**2/9 + 86*o/9 - 376/9 = 0.
-47, 4
Factor 4*m**3/7 + 36*m**2 + 1184*m/7 + 1392/7.
4*(m + 2)*(m + 3)*(m + 58)/7
Let 2*n**5 + 138*n**4 - 2*n**3 - 138*n**2 = 0. What is n?
-69, -1, 0, 1
Solve q**2/6 - 307*q/6 - 154/3 = 0 for q.
-1, 308
Factor -w**3/3 + 38*w**2/3 - 73*w/3 + 12.
-(w - 36)*(w - 1)**2/3
Solve 3*g**3/4 - 345*g**2/2 + 687*g/4 = 0 for g.
0, 1, 229
Factor -q**4/4 - 67*q**3/4 + 105*q**2/2.
-q**2*(q - 3)*(q + 70)/4
Factor -2*c**2/9 - 124*c/9 - 1922/9.
-2*(c + 31)**2/9
Factor -2*h**3/3 - 178*h**2 + 2976*h - 36224/3.
-2*(h - 8)**2*(h + 283)/3
Find a such that -2*a**2 + 6*a + 36 = 0.
-3, 6
Factor -2*b**5/13 + 14*b**4/13 - 22*b**3/13 + 10*b**2/13.
-2*b**2*(b - 5)*(b - 1)**2/13
Factor 5*u**5 - 4025*u**4.
5*u**4*(u - 805)
Factor -2*x**5/13 + 36*x**4/13 - 10*x**3.
-2*x**3*(x - 13)*(x - 5)/13
Solve -4*o**3/3 - 60*o**2 - 900*o - 4500 = 0.
-15
What is j in -j**4/7 + 111*j**3 - 775*j**2/7 - 111*j + 776/7 = 0?
-1, 1, 776
Solve 2*s**5 + 56*s**4 + 386*s**3 - 164*s**2 - 1064*s + 784 = 0 for s.
-14, -2, 1
Find f, given that 3*f**4 - 408*f**3 + 20808*f**2 - 471648*f + 4009008 = 0.
34
Suppose n**4/3 + 5*n**3/3 = 0. Calculate n.
-5, 0
Factor -c**2/4 + 17*c/2 - 289/4.
-(c - 17)**2/4
Factor -2*a**3/5 - 2*a**2 + 8*a/5 + 8.
-2*(a - 2)*(a + 2)*(a + 5)/5
Solve -2*q**4 + 69*q**3 - 375*q**2 - 3800*q - 6000 = 0 for q.
-3, -5/2, 20
Factor 2*t**5/9 + 8*t**4/9 - 8*t**3/3 + 4*t**2/9 + 22*t/9 - 4/3.
2*(t - 1)**3*(t + 1)*(t + 6)/9
Factor -2*f**4/7 + 6*f**3/7 + 8*f**2/7 - 24*f/7.
-2*f*(f - 3)*(f - 2)*(f + 2)/7
Find a, given that 4*a**2/3 - 88*a/3 + 96 = 0.
4, 18
Determine q, given that -3*q**3 + 27*q**2/2 - 15*q + 9/2 = 0.
1/2, 1, 3
What is o in 5*o**5 - 165*o**4 - 1330*o**3 - 2760*o**2 - 1600*o = 0?
-4, -2, -1, 0, 40
Solve -3*y**2 - 162*y - 1824 = 0.
-38, -16
Factor 3*t**2 + 6*t - 9.
3*(t - 1)*(t + 3)
Factor 57*b**2/5 + 81*b + 42/5.
3*(b + 7)*(19*b + 2)/5
Let -k**3/11 - 23*k**2/11 + k/11 + 23/11 = 0. What is k?
-23, -1, 1
Suppose 2*d**4 + 12*d**3 + 8*d**2 - 12*d - 10 = 0. Calculate d.
-5, -1, 1
Solve -p**4/9 - 14*p**3/9 - 20*p**2/3 - 104*p/9 - 64/9 = 0 for p.
-8, -2
Factor 2*l**4/13 - 16*l**3/13 + 38*l**2/13 - 24*l/13.
2*l*(l - 4)*(l - 3)*(l - 1)/13
Factor -5*r**3 - 935*r**2 - 2770*r - 1840.
-5*(r + 1)*(r + 2)*(r + 184)
Let -v**5/6 - 51*v**4/2 - 5459*v**3/6 + 29945*v**2/6 - 8216*v + 12482/3 = 0. What is v?
-79, 1, 2
Suppose 2*y**4 + 128*y**3/5 + 576*y**2/5 + 1024*y/5 + 512/5 = 0. What is y?
-4, -4/5
Let -x**4/2 + 18*x**3 - 34*x**2 = 0. Calculate x.
0, 2, 34
Let -g**4/2 + 40*g**3 - 1119*g**2 + 12760*g - 101761/2 = 0. What is g?
11, 29
Solve -2*z**4 - 202*z**3/3 - 970*z**2/3 - 494*z/3 + 280/3 = 0 for z.
-28, -5, -1, 1/3
Factor 4*m**3 - 16*m**2 - 4*m + 16.
4*(m - 4)*(m - 1)*(m + 1)
Determine j, given that -j**4/3 + 2*j**3/3 + 4*j**2/3 - 2*j/3 - 1 = 0.
-1, 1, 3
Factor 6*t**4 - 23*t**3 + 14*t**2 + 3*t.
t*(t - 3)*(t - 1)*(6*t + 1)
Suppose -121*t**2/3 + 22*t - 3 = 0. Calculate t.
3/11
Suppose -2*k**4 - 248*k**3 - 732*k**2 - 728*k - 242 = 0. Calculate k.
-121, -1
Factor -2*c**4 - 16*c**3 - 12*c**2 + 80*c - 50.
-2*(c - 1)**2*(c + 5)**2
What is t in -5*t**2 + 2275*t - 4530 = 0?
2, 453
Suppose -c**4 - 13*c**3 - 40*c**2 - 36*c = 0. Calculate c.
-9, -2, 0
Let -p**3/2 - p**2/2 + 11*p + 20 = 0. What is p?
-4, -2, 5
Factor -3*b**2/5 - 8796*b/5 - 8793/5.
-3*(b + 1)*(b + 2931)/5
Factor -4*l**2/15 - 282*l - 2112/5.
-2*(l + 1056)*(2*l + 3)/15
Determine w, given that 25*w**2 - 10*w + 1 = 0.
1/5
Factor 7*q**3 - 676*q**2 + 16512*q - 9216.
(q - 48)**2*(7*q - 4)
Solve 2*u**3 + 376*u**2 = 0 for u.
-188, 0
Let -181*f**3/3 - 179*f**2/3 + 2*f/3 = 0. What is f?
-1, 0, 2/181
Let 135*u**4 + 1195*u**3 + 3465*u**2 + 3105*u - 540 = 0. What is u?
-3, 4/27
Factor -3*b**3 + 504*b**2 - 1980*b + 1968.
-3*(b - 164)*(b - 2)**2
Find v, given that -v**2/10 + 41*v/2 = 0.
0, 205
Factor -597*y**4 + 603*y**3 - 6*y**2.
-3*y**2*(y - 1)*(199*y - 2)
Find u such that 5*u**2 - 85*u - 690 = 0.
-6, 23
Solve 4*c**3/7 - 30*c**2/7 - 4*c/7 + 30/7 = 0 for c.
-1, 1, 15/2
What is c in -20*c**4 + 2232*c**3 + 916*c**2 - 2232*c - 896 = 0?
-1, -2/5, 1, 112
Solve -75*x**2 - 140*x + 20 = 0 for x.
-2, 2/15
Find w such that -2*w**2/11 + 712*w/11 + 1432/11 = 0.
-2, 358
Find l such that 2*l**2/9 - 34*l/9 + 140/9 = 0.
7, 10
Factor -2*z**5/5 - 2*z**4/5 + 4*z**3/5.
-2*z**3*(z - 1)*(z + 2)/5
Factor -3*s**3/5 - 6*s**2/5 + 57*s - 180.
-3*(s - 5)