actor 9*m**4/2 + 33*m**3/2 - 47*m**2/2 - 301*m/2 - 147.
(m - 3)*(m + 2)*(3*m + 7)**2/2
Suppose -2*k**2/7 - 12*k/7 + 32/7 = 0. Calculate k.
-8, 2
Factor -2*a**3/3 - 146*a**2/3 + 148*a/3.
-2*a*(a - 1)*(a + 74)/3
Let -36*j**4 - 1684*j**3 - 1280*j**2 + 368*j = 0. Calculate j.
-46, -1, 0, 2/9
Factor -t**5 + 5*t**4 + t**3 - 5*t**2.
-t**2*(t - 5)*(t - 1)*(t + 1)
Factor -330*a**3 - 339*a**2 - 9*a.
-3*a*(a + 1)*(110*a + 3)
Factor m**4/3 - 3*m**3 - m**2 + 25*m/3 + 6.
(m - 9)*(m - 2)*(m + 1)**2/3
Factor 4*h**5 - 64*h**4 + 348*h**3 - 736*h**2 + 448*h.
4*h*(h - 7)*(h - 4)**2*(h - 1)
Factor 3*q**2 + 2700*q + 2697.
3*(q + 1)*(q + 899)
Factor -3*t**2/5 + 102*t/5 - 867/5.
-3*(t - 17)**2/5
Solve -2*h**4/7 - 20*h**3 - 2448*h**2/7 + 20*h + 350 = 0.
-35, -1, 1
Determine f so that f**2/3 + 19*f/3 - 92/3 = 0.
-23, 4
Factor b**4 - 6*b**3 - 48*b**2 - 74*b - 33.
(b - 11)*(b + 1)**2*(b + 3)
Solve -o**3 - 9*o**2 - 20*o - 12 = 0.
-6, -2, -1
Find b, given that b**4 + 12*b**3 + 54*b**2 + 108*b + 81 = 0.
-3
Find p such that -p**4 - 22*p**3 + 13*p**2 + 298*p + 264 = 0.
-22, -3, -1, 4
Find u such that -3*u**2 + 342*u - 339 = 0.
1, 113
Determine q, given that q**4/5 - 11*q**3/5 + 18*q**2/5 + 108*q/5 - 216/5 = 0.
-3, 2, 6
Factor -o**4/3 + 17*o**3 - 156*o**2.
-o**2*(o - 39)*(o - 12)/3
Factor 4*j**3 - 124*j**2 - 2168*j - 5280.
4*(j - 44)*(j + 3)*(j + 10)
Determine c, given that 2*c**4/7 + 46*c**3/7 + 86*c**2/7 + 6*c = 0.
-21, -1, 0
Factor -j**2/5 - 68*j/5 + 28.
-(j - 2)*(j + 70)/5
Find o such that 2*o**2/3 - 8*o/3 = 0.
0, 4
Factor 18*n**4 + 66*n**3 + 14*n**2 - 98*n.
2*n*(n - 1)*(3*n + 7)**2
Suppose v**4/3 - 77*v**3/3 + 1591*v**2/3 - 1369*v = 0. What is v?
0, 3, 37
Factor -2*s**3/3 - 13*s**2/3 - 22*s/3 - 8/3.
-(s + 2)*(s + 4)*(2*s + 1)/3
Find t such that 4*t**3 - 236*t**2 + 460*t - 228 = 0.
1, 57
Solve f**5/7 + 353*f**4/7 - 1065*f**3/7 + 1067*f**2/7 - 356*f/7 = 0.
-356, 0, 1
Find t, given that -3*t**2/4 - 2184*t - 1589952 = 0.
-1456
Factor -3*t**4/4 + 81*t**3 + 504*t**2 + 1020*t + 684.
-3*(t - 114)*(t + 2)**3/4
Find i such that -8*i**5/11 + 134*i**4/11 + 698*i**3/11 + 382*i**2/11 - 954*i/11 - 252/11 = 0.
-3, -2, -1/4, 1, 21
Suppose 3*j**4/4 + 39*j**3/4 - 135*j**2/4 + 141*j/4 - 12 = 0. Calculate j.
-16, 1
Factor 5*x**4 - 45*x**3 + 75*x**2 - 35*x.
5*x*(x - 7)*(x - 1)**2
Let -b**3 - 132*b**2 - 5808*b - 85184 = 0. Calculate b.
-44
Factor -18050*f**2/11 + 380*f/11 - 2/11.
-2*(95*f - 1)**2/11
Determine f so that -3*f**4/4 + 327*f**3/4 + 9603*f**2/2 + 60621*f + 55902 = 0.
-22, -1, 154
Let -57*c**2 - 138*c - 48 = 0. Calculate c.
-2, -8/19
Factor 2*q**4 - 6*q**3 - 6*q**2 + 22*q - 12.
2*(q - 3)*(q - 1)**2*(q + 2)
Solve 20*y**4/7 - 848*y**3/7 + 1308*y**2 - 504*y = 0.
0, 2/5, 21
Factor -5*n**4 + 2360*n**3 - 14040*n**2 + 28000*n - 18640.
-5*(n - 466)*(n - 2)**3
Determine u so that u**5 - 34*u**4 + 32*u**3 + 34*u**2 - 33*u = 0.
-1, 0, 1, 33
Factor -10*s**2/11 - 288*s/11 - 224/11.
-2*(s + 28)*(5*s + 4)/11
Let -3*c**3/7 + 9*c**2 + 102*c/7 - 792/7 = 0. What is c?
-4, 3, 22
Suppose u**3/4 + 2*u**2 - 19*u/4 + 5/2 = 0. What is u?
-10, 1
Let -5*i**4/6 - 17*i**3/2 - 45*i**2/2 - 25*i/6 = 0. What is i?
-5, -1/5, 0
Factor 3*s**2/4 - 192*s - 387.
3*(s - 258)*(s + 2)/4
Factor 3*l**4/2 + 9*l**3 + 9*l**2/2 - 15*l.
3*l*(l - 1)*(l + 2)*(l + 5)/2
Factor o**4 + 5*o**3 + 6*o**2.
o**2*(o + 2)*(o + 3)
Factor -12*i**3 - 279*i**2 - 1581*i - 378.
-3*(i + 9)*(i + 14)*(4*i + 1)
Factor -2*h**2 + 744*h - 69192.
-2*(h - 186)**2
Factor 2*d**3/9 + 82*d**2/9 - 770*d/9 + 686/9.
2*(d - 7)*(d - 1)*(d + 49)/9
Let 2*w**3 - 722*w**2 + 720*w = 0. Calculate w.
0, 1, 360
Determine y so that -3*y**5 + 570*y**4 - 28191*y**3 + 106020*y**2 - 103788*y = 0.
0, 2, 93
Suppose 5*c**5 + 10*c**4 - 75*c**3 - 100*c**2 + 220*c + 240 = 0. What is c?
-4, -2, -1, 2, 3
Factor b**5/7 - 3*b**4/7 + 2*b**3/7.
b**3*(b - 2)*(b - 1)/7
Solve -2*i**3 + 8*i**2 - 6*i = 0.
0, 1, 3
Suppose 25*h**3/4 - 285*h**2/4 + 90*h - 25 = 0. What is h?
2/5, 1, 10
Let 3*l**3/8 - 9*l**2/8 - 33*l/4 + 9 = 0. Calculate l.
-4, 1, 6
Suppose 4*k**5/3 - 29*k**4/3 + 71*k**3/3 - 64*k**2/3 + 4*k = 0. Calculate k.
0, 1/4, 2, 3
Suppose -27*f**4 + 411*f**3 - 1386*f**2 - 1440*f + 384 = 0. What is f?
-1, 2/9, 8
Factor 16*z**3/13 + 486*z**2/13 + 180*z/13.
2*z*(z + 30)*(8*z + 3)/13
Determine j, given that -j**4 - 55*j**3 - 832*j**2 - 2028*j = 0.
-26, -3, 0
Suppose -3*p**3 - 27*p**2 - 60*p - 36 = 0. What is p?
-6, -2, -1
Determine s so that 4*s**4 - 20*s**3 + 28*s**2 - 12*s = 0.
0, 1, 3
Find c, given that 11*c**4/2 - 273*c**3/2 + 811*c**2 - 552*c - 128 = 0.
-2/11, 1, 8, 16
Factor g**4 + 8096*g**3 + 16394398*g**2 + 32764512*g + 16378209.
(g + 1)**2*(g + 4047)**2
Solve -4*k**2 + 16 = 0.
-2, 2
Determine n, given that -12*n**5 - 51*n**4/2 + 321*n**3 - 1167*n**2/2 + 258*n + 42 = 0.
-7, -1/8, 1, 2
Find z such that z**5/11 + 30*z**4/11 - 167*z**3/11 + 276*z**2/11 - 140*z/11 = 0.
-35, 0, 1, 2
Factor -17*j**3/4 - 91*j**2/4 - 15*j/2.
-j*(j + 5)*(17*j + 6)/4
Factor 4*d**3 + 9896*d**2 - 19804*d + 9904.
4*(d - 1)**2*(d + 2476)
Solve -10*c**5 - 318*c**4 - 1356*c**3 - 1636*c**2 - 426*c + 162 = 0.
-27, -3, -1, 1/5
Determine r, given that -2*r**2/13 - 6744*r/13 = 0.
-3372, 0
Determine s so that 12*s**4 + 51*s**3 - 72*s**2 - 141*s - 30 = 0.
-5, -1, -1/4, 2
Factor 2*i**3/3 + 16*i**2/3.
2*i**2*(i + 8)/3
Let -10*o**5 + 205*o**4 - 840*o**3 - 2710*o**2 + 5170*o - 1815 = 0. Calculate o.
-3, 1/2, 1, 11
Determine b, given that 156*b**3 - 608*b**2 + 404*b + 48 = 0.
-4/39, 1, 3
Factor 8*q**5/13 + 14*q**4/13 + 4*q**3/13 - 2*q**2/13.
2*q**2*(q + 1)**2*(4*q - 1)/13
Factor 24*y**3 - 184*y**2 + 1394*y/3 - 1156/3.
2*(y - 2)*(6*y - 17)**2/3
Factor o**2 + 1612*o + 649636.
(o + 806)**2
Factor -z**3/4 - 13*z**2/4 + 7*z/2.
-z*(z - 1)*(z + 14)/4
Determine q so that 27*q**2/2 - 384*q + 714 = 0.
2, 238/9
Factor 4*u**5 - 20*u**4 - 12*u**3 + 52*u**2 + 40*u.
4*u*(u - 5)*(u - 2)*(u + 1)**2
Let -2*m**2/7 - 152*m/7 - 2888/7 = 0. Calculate m.
-38
Suppose -4*v**3 + 16*v**2 - 12*v = 0. Calculate v.
0, 1, 3
Let -3*l**3 - 136*l**2 + 92*l = 0. What is l?
-46, 0, 2/3
Factor 5*c**4 + 15*c**3 + 10*c**2.
5*c**2*(c + 1)*(c + 2)
Factor 2*h**2 - 4*h - 48.
2*(h - 6)*(h + 4)
Let 4*f**3 + 72*f**2 + 132*f - 1936 = 0. What is f?
-11, 4
Factor 2*f**2/3 + 20*f - 62/3.
2*(f - 1)*(f + 31)/3
Let j**2/2 + 17*j/2 = 0. What is j?
-17, 0
Solve -3*v**2 + 12 = 0.
-2, 2
Solve -9*y**4 + 538*y**3 + 1236*y**2 + 248*y = 0 for y.
-2, -2/9, 0, 62
Factor -5*t**5 - 35*t**4 - 75*t**3 - 65*t**2 - 20*t.
-5*t*(t + 1)**3*(t + 4)
Factor -5*p**2 - 505*p - 990.
-5*(p + 2)*(p + 99)
Factor 52*o**2 + 96*o - 16.
4*(o + 2)*(13*o - 2)
Solve -38*g**4/13 - 80*g**3/13 + 144*g**2/13 + 320*g/13 + 32/13 = 0.
-2, -2/19, 2
Solve -4*a**2/3 - 280*a/3 - 4900/3 = 0 for a.
-35
Factor 2*i**2/7 + 34*i/7 - 36/7.
2*(i - 1)*(i + 18)/7
Factor -d**4/4 + 5*d**3/4 + 21*d**2/4 - 85*d/4 - 25.
-(d - 5)**2*(d + 1)*(d + 4)/4
Factor 5*y**5 - 80*y**3 - 190*y**2 - 165*y - 50.
5*(y - 5)*(y + 1)**3*(y + 2)
Factor -27*k**4/8 + 36*k**3 + 105*k**2/2 + 18*k.
-3*k*(k - 12)*(3*k + 2)**2/8
Factor 4*s**3 + 48*s**2 - 60*s - 104.
4*(s - 2)*(s + 1)*(s + 13)
Solve -b**3 - 32*b**2 + 179*b - 222 = 0 for b.
-37, 2, 3
Find k, given that -12*k**5 - 16*k**4 + 188*k**3 + 256*k**2 + 64*k = 0.
-4, -1, -1/3, 0, 4
Find a such that -4*a**2 - 6696*a = 0.
-1674, 0
Factor -2*f**3 - 8*f**2 - 10*f - 4.
-2*(f + 1)**2*(f + 2)
Solve 9*m**5/7 - 66*m**4/7 + 151*m**3/7 - 62*m**2/7 - 160*m/7 + 128/7 = 0 for m.
-1, 1, 2, 8/3
Factor -t**3 - t**2 + 208*t - 1088.
-(t - 8)**2*(t + 17)
Solve 6*c**5/19 - 4*c**4/19 - 6*c**3/19 + 4*c**2/19 = 0 for c.
-1, 0, 2/3, 1
Find q such that -9*q**5/2 + 66*q**4 - 74*q**3 - 1232*q**2 - 1568*q = 0.
-2, 0, 28/3
Factor 6*i**4 + 375*i**3 - 192*i**2 - 189*i.
3*i*(i - 1)*(i + 63)*(2*i + 1)
Factor -21675*a**3/2 + 280755*a**2/2 + 6624*a + 78.
-3*(a - 13)*(85*a + 2)**2/2
Solve 3*i**3 - 72*i**2 + 468*i - 672 = 0 for i.
2, 8, 14
Factor 3*o**3/7 - 12*o**2/7 + 3*o/7 + 18/7.
3*(o - 3)*(o - 2)*(o + 1)/7
Determine q so that -2*q**4/5 + 14*q**2/5 + 12*q/5 = 0.
-2, -1, 0, 3
Solve 5*u**3 - 285*u**2 + 5280*u - 31460 = 0 for u.
13, 22
Factor p**4/3 - 92*p**3/3 + 90*p**2 - 268*p/3 + 89/3.
(p - 89)*(p - 1)**3/3
Let -145*o**3 - 1295*o**2 - 1070*o + 80 = 0. What is o?
-8, -1, 2/29
Suppose 5*b**2/2 - 355*b/2 + 175 = 0. What is b?
1, 70
Let 3*k**3/8 + 129*