*4 + 1170*j**3 + 4050*j**2 - 13500*j.
2*j*(j - 2)*(j + 15)**3
Solve 4*l**2 - 1320*l = 0.
0, 330
Let 3*j**4/2 + 9*j**3/2 - 837*j**2/2 - 5709*j/2 + 3267 = 0. What is j?
-11, 1, 18
Suppose -4*a**4 + 1124*a**3 - 79520*a**2 + 78400*a = 0. What is a?
0, 1, 140
Factor l**3/3 - 956*l**2/3 + 955*l/3.
l*(l - 955)*(l - 1)/3
Determine j so that -5*j**2/6 - 130*j/3 - 245/2 = 0.
-49, -3
Factor 4*v**3/11 - 170*v**2/11 + 168*v - 882/11.
2*(v - 21)**2*(2*v - 1)/11
Find i, given that i**4/6 + 31*i**3/6 + 25*i**2 - 234*i + 324 = 0.
-18, 2, 3
Factor 5*q**2 + 9495*q - 28530.
5*(q - 3)*(q + 1902)
Determine o, given that -o**4/3 + 8*o**3/3 + 19*o**2/3 + 10*o/3 = 0.
-1, 0, 10
Let -4*d**5 - 2756*d**4 - 2748*d**3 + 2756*d**2 + 2752*d = 0. What is d?
-688, -1, 0, 1
Solve -2*n**5/7 + 86*n**4/7 - 732*n**3/7 - 11016*n**2/7 + 151632*n/7 - 139968/7 = 0 for n.
-12, 1, 18
Factor -j**2 - 1250*j - 390625.
-(j + 625)**2
Find r, given that -8*r**2/5 + 122*r/5 + 96/5 = 0.
-3/4, 16
Solve -i**4 - 21*i**3 - 39*i**2 - 19*i = 0 for i.
-19, -1, 0
Determine z so that 2*z**4/7 - 26*z**3/7 + 100*z**2/7 - 64*z/7 - 192/7 = 0.
-1, 4, 6
Let 100*n**5 + 735*n**4 - 610*n**3 - 655*n**2 + 510*n - 80 = 0. What is n?
-8, -1, 1/4, 2/5, 1
Factor -2*h**3 - 1304*h**2 - 212552*h.
-2*h*(h + 326)**2
Factor 5*j**4 - 112*j**3 + 249*j**2 - 182*j + 40.
(j - 20)*(j - 1)**2*(5*j - 2)
Suppose -2*h**2/7 + 80*h/7 + 216 = 0. What is h?
-14, 54
Find z, given that 4*z**4/3 - 808*z**3/3 + 18224*z**2 - 1256920*z/3 + 1203052/3 = 0.
1, 67
Factor -4*l**3/5 + 1494*l**2/5 - 139128*l/5 - 69938/5.
-2*(l - 187)**2*(2*l + 1)/5
Suppose -20*h**5 - 112*h**4 - 132*h**3 - 8*h**2 + 32*h = 0. Calculate h.
-4, -1, 0, 2/5
Factor 16*z**5/9 + 1040*z**4/9 + 16372*z**3/9 - 5720*z**2/3 + 484*z.
4*z*(z + 33)**2*(2*z - 1)**2/9
Factor -s**3/7 - 34*s**2/7 - 33*s/7.
-s*(s + 1)*(s + 33)/7
Let m**3/7 + 180*m**2/7 + 10800*m/7 + 216000/7 = 0. Calculate m.
-60
Factor 5*i**3/4 - 327*i**2/4 - 135*i + 67.
(i - 67)*(i + 2)*(5*i - 2)/4
Determine t so that t**2/8 + 7*t/4 + 49/8 = 0.
-7
Find w, given that 4*w**3 + 996*w**2 + 1980*w + 988 = 0.
-247, -1
Find t such that 9*t**4/2 + 3*t**3/2 - 171*t**2/2 + 213*t/2 + 45 = 0.
-5, -1/3, 2, 3
Determine d, given that 5*d**2 - 220*d + 215 = 0.
1, 43
Let -2*r**2 + 68*r - 240 = 0. What is r?
4, 30
Suppose 2*c**2/3 - 86*c/9 - 20/3 = 0. What is c?
-2/3, 15
Let -2*i**3/9 - 4*i**2/3 + 14*i + 784/9 = 0. Calculate i.
-7, 8
Factor -44*r**2 + 45*r - 1.
-(r - 1)*(44*r - 1)
Determine v, given that -v**2 + 56*v + 57 = 0.
-1, 57
Let -5*u**3 - 25*u**2 + 70*u = 0. What is u?
-7, 0, 2
Factor 5*b**3 + 185*b**2 + 180*b.
5*b*(b + 1)*(b + 36)
Solve -4*n**3 - 2116*n**2 + 6376*n - 4256 = 0.
-532, 1, 2
Suppose -42*i**3 - 172*i**2 - 184*i - 16 = 0. What is i?
-2, -2/21
Factor 2*f**2/7 + 5360*f/7 + 3591200/7.
2*(f + 1340)**2/7
Factor 30*l**3 - 806*l**2/3 - 12*l.
2*l*(l - 9)*(45*l + 2)/3
Let 3*q**4/2 - 45*q**3/2 - 81*q**2 - 6*q + 108 = 0. What is q?
-2, 1, 18
Factor 4*x**3 + 4*x**2 - 20*x + 12.
4*(x - 1)**2*(x + 3)
Factor 4*o**3 + 20*o**2 - 96*o.
4*o*(o - 3)*(o + 8)
Factor d**4/3 + 17*d**3/3 + 33*d**2 + 81*d + 72.
(d + 3)**3*(d + 8)/3
Factor -4*s**4/7 - 52*s**3/7 - 20*s**2 + 28*s.
-4*s*(s - 1)*(s + 7)**2/7
What is r in -r**2/7 - 278*r/7 - 277/7 = 0?
-277, -1
Let -d**2 - 22*d + 168 = 0. What is d?
-28, 6
Factor 5*i**4 - 205*i**3 - 425*i**2 - 215*i.
5*i*(i - 43)*(i + 1)**2
Let 2*d**5/9 - 4*d**4/9 - 4*d**3/3 + 16*d**2/9 + 10*d/9 - 4/3 = 0. What is d?
-2, -1, 1, 3
Factor 2*d**5/11 - 76*d**4/11 + 144*d**3/11.
2*d**3*(d - 36)*(d - 2)/11
Find w, given that 4*w**2 - 440*w + 12100 = 0.
55
Factor 5*l**3 + 50*l**2 + 45*l.
5*l*(l + 1)*(l + 9)
Suppose 4*s**3/11 - 2*s**2 + 26*s/11 - 8/11 = 0. Calculate s.
1/2, 1, 4
Let -3*r**3 + 6*r**2 = 0. What is r?
0, 2
Factor -21*r**3 + 219*r**2 + 132*r.
-3*r*(r - 11)*(7*r + 4)
Factor 2*q**3 - 8*q.
2*q*(q - 2)*(q + 2)
Find x, given that -5*x**2 - 185*x - 180 = 0.
-36, -1
Let 5*l**4/3 - 2665*l**3/3 - 13435*l**2/3 - 2705*l + 8070 = 0. What is l?
-3, 1, 538
Let 2*n**4/3 - 34*n**2/3 + 24*n - 40/3 = 0. Calculate n.
-5, 1, 2
Determine f so that -3*f**4/7 + 54*f**3/7 - 99*f**2/7 + 48*f/7 = 0.
0, 1, 16
Determine l, given that 4*l**5 - 26*l**4 - 10*l**3 + 200*l**2 = 0.
-5/2, 0, 4, 5
Solve -4*l**5 - 64*l**4 - 204*l**3 - 128*l**2 + 208*l + 192 = 0.
-12, -2, -1, 1
Factor 65*f**2/4 + 60*f - 20.
5*(f + 4)*(13*f - 4)/4
Factor i**4/5 + 117*i**3/5 + 46*i**2.
i**2*(i + 2)*(i + 115)/5
Suppose j**4/4 - 105*j**3/4 + 2475*j**2/4 + 15125*j/4 = 0. Calculate j.
-5, 0, 55
Factor -q**3/5 - 14*q**2/5 - 51*q/5 - 54/5.
-(q + 2)*(q + 3)*(q + 9)/5
Factor -39*n**4/5 + 84*n**3/5 - 12*n**2/5.
-3*n**2*(n - 2)*(13*n - 2)/5
Factor -5*t**2 - 4510*t - 4505.
-5*(t + 1)*(t + 901)
Determine v so that 27*v**5 - 696*v**4 - 183*v**3 + 696*v**2 + 156*v = 0.
-1, -2/9, 0, 1, 26
Factor 2*f**5/9 - 76*f**4/3 + 722*f**3.
2*f**3*(f - 57)**2/9
Let -2*m**3 + 20*m**2 + 46*m + 24 = 0. Calculate m.
-1, 12
Suppose b**3 - 8*b**2 - b + 8 = 0. Calculate b.
-1, 1, 8
Solve 4*u**3 + 86*u**2/3 + 134*u/3 + 20/3 = 0.
-5, -2, -1/6
Factor s**2/6 - 6*s + 30.
(s - 30)*(s - 6)/6
Factor f**3/2 - 160*f**2 + 634*f - 632.
(f - 316)*(f - 2)**2/2
Factor 2*u**2/13 - 128*u/13 + 2048/13.
2*(u - 32)**2/13
Determine k so that k**5/9 - k**4/9 - 7*k**3/9 + k**2/9 + 2*k/3 = 0.
-2, -1, 0, 1, 3
Factor -32*q**3 - 16*q**2 + 14*q - 2.
-2*(q + 1)*(4*q - 1)**2
Suppose -a**4 + 27*a**3 + 187*a**2 + 357*a + 198 = 0. Calculate a.
-3, -2, -1, 33
Factor 2*v**5/7 + 44*v**4/7 + 6*v**3.
2*v**3*(v + 1)*(v + 21)/7
Solve 38*q**3 + 108*q**2 + 58*q - 12 = 0 for q.
-2, -1, 3/19
Factor -39*t**3 + 2391*t**2 + 1686*t - 744.
-3*(t - 62)*(t + 1)*(13*t - 4)
Factor -2*y**3/5 - 104*y**2/5 - 202*y/5 - 20.
-2*(y + 1)**2*(y + 50)/5
Find w such that 3*w**4 - 54*w**3 + 36*w**2 + 246*w + 153 = 0.
-1, 3, 17
Suppose -y**2 - 12*y - 20 = 0. Calculate y.
-10, -2
Solve 3*m**3/8 + 8427*m**2/4 + 33699*m/8 + 2106 = 0 for m.
-5616, -1
Determine a, given that 5*a**2 + 160*a + 155 = 0.
-31, -1
Let -8*i**2 + 7364*i - 11028 = 0. What is i?
3/2, 919
Factor -2*p**2/15 + 2*p/5 + 56/15.
-2*(p - 7)*(p + 4)/15
Solve 2*b**5/7 + 2*b**4/7 - 22*b**3/7 - 18*b**2/7 + 36*b/7 = 0.
-3, -2, 0, 1, 3
Determine i, given that -i**4/6 + 23*i**3/6 - 65*i**2/2 + 725*i/6 - 500/3 = 0.
5, 8
Find k, given that -k**4/3 + 4*k**3/3 + 2*k**2 - 4*k/3 - 5/3 = 0.
-1, 1, 5
Suppose -15*y**4 - 5*y**3 + 195*y**2 + 245*y + 60 = 0. What is y?
-3, -1, -1/3, 4
Find v, given that -3*v**2 - 2169*v = 0.
-723, 0
Find i, given that -4*i**3/9 - 1156*i**2/3 - 83328*i + 753424/9 = 0.
-434, 1
Factor 5*n**2 - 2905*n + 2900.
5*(n - 580)*(n - 1)
Factor -2*h**4 + 6*h**3 + 4*h**2 - 24*h + 16.
-2*(h - 2)**2*(h - 1)*(h + 2)
Solve 6*o**5 + 424*o**4 + 688*o**3 - 148*o**2 - 694*o - 276 = 0.
-69, -1, -2/3, 1
Find s, given that -s**2 - 353*s - 1050 = 0.
-350, -3
Determine j so that -4*j**2 + 80*j + 756 = 0.
-7, 27
Solve 2*t**3/5 + 24*t**2/5 - 254*t/5 + 228/5 = 0.
-19, 1, 6
Factor 5*y**4 + 20*y**3 - 1180*y**2 + 7680*y - 14400.
5*(y - 6)**2*(y - 4)*(y + 20)
Solve 3*q**5 - 12*q**4 - 9*q**3 + 42*q**2 - 24*q = 0 for q.
-2, 0, 1, 4
Determine y, given that -8*y**4/3 - 10*y**3/9 + 92*y**2/9 + 58*y/9 - 20/9 = 0.
-5/3, -1, 1/4, 2
Suppose -3*y**3 - 504*y**2 + 507*y = 0. Calculate y.
-169, 0, 1
Factor 2*x**3/13 - 88*x**2/13 + 768*x/13 + 4608/13.
2*(x - 24)**2*(x + 4)/13
Let 5*d**4 + 290*d**3 + 4485*d**2 + 8120*d + 3920 = 0. Calculate d.
-28, -1
Factor -2*u**3/9 + 92*u**2/3 - 1088*u + 18496/9.
-2*(u - 68)**2*(u - 2)/9
Suppose 36*k**5 + 8*k**4 - 900*k**3 + 1960*k**2 - 816*k - 288 = 0. What is k?
-6, -2/9, 1, 2, 3
Solve -p**2/7 - 288*p/7 - 20736/7 = 0.
-144
Factor -5*f**3 - 25*f**2 + 85*f + 105.
-5*(f - 3)*(f + 1)*(f + 7)
Let -2*f**4/3 - 31*f**3/2 - 503*f**2/6 + 76*f + 24 = 0. What is f?
-12, -1/4, 1
Factor 2*a**3/9 + 16*a**2/3 - 18*a.
2*a*(a - 3)*(a + 27)/9
Factor -s**3 + 10*s**2 - 23*s + 14.
-(s - 7)*(s - 2)*(s - 1)
Determine b so that -21*b**4 + 57*b**3 + 102*b**2 + 24*b = 0.
-1, -2/7, 0, 4
Factor 4*a**5 + 80*a**4 + 524*a**3 + 1216*a**2 + 768*a.
4*a*(a + 1)*(a + 3)*(a + 8)**2
Suppose -2*y**4/5 + 2*y**3/5 + 30*y**2 + 286*y/5 + 28 = 0. What is y?
-7, -1, 10
What is b in b**2/2 - 425*b + 849/2 = 0?
1, 849
Factor -12*r**3 + 81*r**2 - 33*r - 126.
-3*(r - 6)*(r + 1)*(4*r - 7)
Factor 2*i**2 + 128*i + 2048.
2*(i + 32)**2
Determine a so