 + 435*a**3 + 1255*a**2 - 855*a + 10 = 0.
-1, 1/84, 1, 2
Solve 3*g**3 - 3*g**2 - 6*g = 0.
-1, 0, 2
Factor 5*g**2 - 55*g + 50.
5*(g - 10)*(g - 1)
Determine j, given that -3*j**2 - 15*j = 0.
-5, 0
Determine k so that 2*k**2/17 + 126*k/17 + 1924/17 = 0.
-37, -26
Determine c so that 12*c**5 - 15*c**4 - 21*c**3/2 + 33*c**2/2 - 3*c/2 - 3/2 = 0.
-1, -1/4, 1/2, 1
Factor 3*z**3 - 78*z**2 - 177*z + 252.
3*(z - 28)*(z - 1)*(z + 3)
Determine s, given that -3*s**5 - 15*s**4 - 18*s**3 + 6*s**2 + 21*s + 9 = 0.
-3, -1, 1
Solve -s**2/2 + 5*s/2 + 12 = 0 for s.
-3, 8
Factor -4*i**2 - 360*i - 8100.
-4*(i + 45)**2
Find w, given that 38*w**2/13 - 1218*w/13 + 64/13 = 0.
1/19, 32
Let -i**2/2 - 5*i + 11/2 = 0. What is i?
-11, 1
Suppose -28*u**5/3 + 1016*u**4/3 - 5636*u**3/3 + 10936*u**2/3 - 2576*u + 480 = 0. Calculate u.
2/7, 1, 2, 3, 30
Suppose 4*u**4 - 176*u**3 + 2548*u**2 - 12168*u = 0. What is u?
0, 13, 18
Determine j, given that 3*j**4/5 - 519*j**3/5 + 21618*j**2/5 + 74976*j/5 - 46464 = 0.
-5, 2, 88
Factor -s**2/3 - 14*s/3 - 16.
-(s + 6)*(s + 8)/3
Factor -a**4/2 - 424*a**3 - 847*a**2/2.
-a**2*(a + 1)*(a + 847)/2
Factor -2*p**4/7 - 386*p**3/7 - 18430*p**2/7 + 18818*p/7.
-2*p*(p - 1)*(p + 97)**2/7
Find a such that 4*a**2 + 2564*a = 0.
-641, 0
Let 16*v**3 - 80*v**2 + 100*v = 0. Calculate v.
0, 5/2
Suppose 2*y**3 - 86*y - 84 = 0. Calculate y.
-6, -1, 7
Factor 3*z**3/5 - 33*z**2/5 + 54*z/5.
3*z*(z - 9)*(z - 2)/5
Factor 3*g**4/7 + 198*g**3/7 - 612*g**2/7 + 618*g/7 - 207/7.
3*(g - 1)**3*(g + 69)/7
Let j**2/5 - j/5 - 2/5 = 0. What is j?
-1, 2
Factor 2*z**2/17 - 2036*z/17 + 518162/17.
2*(z - 509)**2/17
Determine o, given that -2*o**5/3 - 2*o**4/3 + 10*o**3/3 - 2*o**2 = 0.
-3, 0, 1
Factor -3*m**5 + 273*m**4 - 7257*m**3 + 45387*m**2.
-3*m**2*(m - 41)**2*(m - 9)
Determine l so that -2883*l**2/8 - 279*l - 54 = 0.
-12/31
Factor -3*s**4 - 72*s**3 - 576*s**2 - 1920*s - 2304.
-3*(s + 4)**3*(s + 12)
Find f such that -60*f**3 + 239*f**2/2 - 59*f - 1/2 = 0.
-1/120, 1
Suppose q**3/3 + 23*q**2 - 47*q + 71/3 = 0. What is q?
-71, 1
Factor -2*m**4/3 + 136*m**3/3 - 1012*m**2 + 21160*m/3 + 24334/3.
-2*(m - 23)**3*(m + 1)/3
Factor x**2/4 - 137*x/2 + 18769/4.
(x - 137)**2/4
Find f such that -5*f**4 + 880*f**3 - 40440*f**2 + 151360*f - 147920 = 0.
2, 86
Factor 3*n**3/5 - 39*n**2/5 + 66*n/5.
3*n*(n - 11)*(n - 2)/5
Factor -g**4/2 + 25*g**3 - 673*g**2/2 + 600*g - 288.
-(g - 24)**2*(g - 1)**2/2
Suppose -x**4/4 + 251*x**3/4 - 7007*x**2/2 - 55176*x - 95832 = 0. What is x?
-11, -2, 132
Find o such that -5*o**4 - 940*o**3 - 5520*o**2 - 10960*o - 7280 = 0.
-182, -2
Suppose 12*y**5/5 - 33*y**4/5 + 3*y**3/5 + 39*y**2/5 - 3*y - 6/5 = 0. What is y?
-1, -1/4, 1, 2
Find u such that 3*u**3/5 - 12*u**2/5 + 3*u - 6/5 = 0.
1, 2
Let 10*w**4 - 1785*w**3 + 7890*w**2 - 10460*w + 3480 = 0. Calculate w.
1/2, 2, 174
Factor f**3 + 11*f**2 - 42*f - 360.
(f - 6)*(f + 5)*(f + 12)
Find n such that 9*n**3 + 126*n**2/5 + 91*n/5 + 2 = 0.
-5/3, -1, -2/15
Factor -722*i**2/9 - 76*i - 18.
-2*(19*i + 9)**2/9
Factor 2*m**2/7 + 906*m/7 + 904/7.
2*(m + 1)*(m + 452)/7
Suppose -2*f**5 - 12*f**4 - 8*f**3 + 48*f**2 + 64*f = 0. What is f?
-4, -2, 0, 2
Solve -12*h**3/13 - 110*h**2/13 - 326*h/13 - 24 = 0.
-4, -3, -13/6
Determine n, given that 2*n**5/9 + 8*n**4/9 - 20*n**3/9 - 56*n**2/9 - 10*n/3 = 0.
-5, -1, 0, 3
Suppose 8*o**4/15 + 118*o**3/15 - 446*o**2/15 + 392*o/15 - 24/5 = 0. Calculate o.
-18, 1/4, 1, 2
Let -l**3/2 + 1721*l**2 - 2961841*l/2 = 0. Calculate l.
0, 1721
What is x in 25*x**5 - 35*x**4 - 15*x**3 + 35*x**2 - 10*x = 0?
-1, 0, 2/5, 1
Determine o, given that 2*o**2/7 + 1368*o/7 + 2728/7 = 0.
-682, -2
Determine f so that -5*f**3 + 265*f**2 - 1170*f - 1440 = 0.
-1, 6, 48
Factor -3*r**4 + 15*r**3 + 378*r**2 - 3564*r + 8424.
-3*(r - 6)**3*(r + 13)
Factor -i**3 + 162*i**2 - 6396*i - 13448.
-(i - 82)**2*(i + 2)
Find q, given that -q**2/5 - 2*q + 11/5 = 0.
-11, 1
Factor -2*d**2/9 - 20*d/9 + 16/3.
-2*(d - 2)*(d + 12)/9
Factor -n**2 - 79*n + 2472.
-(n - 24)*(n + 103)
Factor 2*m**3/9 - 8*m**2/3 + 8*m - 64/9.
2*(m - 8)*(m - 2)**2/9
Factor 4*q**4 - 12*q**3 - 8*q**2 + 48*q - 32.
4*(q - 2)**2*(q - 1)*(q + 2)
Find h such that -2*h**5/9 + 20*h**4/9 - 70*h**3/9 + 100*h**2/9 - 16*h/3 = 0.
0, 1, 2, 3, 4
Solve 2*m**3/3 - 3292*m**2/3 + 1354658*m/3 = 0 for m.
0, 823
Factor 2*g**2/17 + 156*g + 51714.
2*(g + 663)**2/17
Find k, given that 2*k**3/19 + 270*k**2/19 - 150*k + 7250/19 = 0.
-145, 5
Determine l so that -2*l**4/3 + 554*l**3/3 - 17112*l**2 + 1608160*l/3 - 1557376/3 = 0.
1, 92
Factor -2*y**4 + 4*y**3 + 14*y**2 + 8*y.
-2*y*(y - 4)*(y + 1)**2
Determine k, given that 4*k**4 + 120*k**3 + 1200*k**2 + 4000*k = 0.
-10, 0
Factor y**2/2 + 213*y.
y*(y + 426)/2
Factor o**5/2 + o**4/2 - o**3 - o**2 + o/2 + 1/2.
(o - 1)**2*(o + 1)**3/2
Let 3*l**5/8 - 9*l**3/2 + 6*l**2 = 0. Calculate l.
-4, 0, 2
Factor 4*l**2 - 10352*l + 6697744.
4*(l - 1294)**2
Find k, given that -322*k**3 - 551*k**2 + 181*k - 10 = 0.
-2, 1/14, 5/23
Factor -d**3 - 28*d**2 - 221*d - 338.
-(d + 2)*(d + 13)**2
Suppose t**2 - 72*t + 396 = 0. What is t?
6, 66
Factor 4*a**2 - 1824*a + 207936.
4*(a - 228)**2
Determine p, given that -p**3 + 101*p**2 - 2499*p - 2601 = 0.
-1, 51
Determine n so that 2*n**5/3 - 32*n**4/3 + 118*n**3/3 - 88*n**2/3 = 0.
0, 1, 4, 11
Factor x**2 - 24*x + 144.
(x - 12)**2
Let -4*s**2/9 + 16*s/9 - 4/3 = 0. Calculate s.
1, 3
Let -4*g**3/9 - 92*g**2/3 - 3020*g/9 + 1100/3 = 0. Calculate g.
-55, -15, 1
Solve 35*x**4 - 2460*x**3 + 3115*x**2 - 690*x = 0 for x.
0, 2/7, 1, 69
Determine s, given that -3*s**5/4 + 9*s**4/4 - 3*s**3/2 = 0.
0, 1, 2
Determine u, given that -2*u**3/3 - 122*u**2/3 + 84*u = 0.
-63, 0, 2
Find r, given that -12*r**5 - 112*r**4 - 36*r**3 = 0.
-9, -1/3, 0
Factor t**2/7 - 5*t/7 + 6/7.
(t - 3)*(t - 2)/7
Factor -t**3/2 + 85*t**2/2 - 2375*t/2 + 21875/2.
-(t - 35)*(t - 25)**2/2
Determine w, given that 4*w**3 + 1316*w**2 + 2616*w = 0.
-327, -2, 0
Factor 24*y**4 + 100*y**3 + 112*y**2 + 16*y.
4*y*(y + 2)**2*(6*y + 1)
Suppose 4*o**4 - 4*o**2 = 0. Calculate o.
-1, 0, 1
Factor -h**3 + 15*h**2 - 63*h + 49.
-(h - 7)**2*(h - 1)
Factor 3*k**3/5 - 11*k**2/2 - 51*k/10 + 1.
(k - 10)*(k + 1)*(6*k - 1)/10
Find z, given that -96*z**4/7 + 150*z**3/7 - 12*z**2/7 - 6*z = 0.
-7/16, 0, 1
Factor 3*a**4/7 - 3*a**3 - 351*a**2/7 - 1215*a/7 - 1296/7.
3*(a - 16)*(a + 3)**3/7
Solve -b**4/2 + 89*b**3/2 + 561*b**2/2 + 851*b/2 + 190 = 0.
-4, -1, 95
Solve 8*g**3 + 154*g**2 + 182*g + 36 = 0 for g.
-18, -1, -1/4
Factor -6*p**2 + 56*p - 18.
-2*(p - 9)*(3*p - 1)
Factor -c**3 + 28*c**2 + 29*c.
-c*(c - 29)*(c + 1)
Suppose 55*s**3 + 180*s**2 + 195*s + 70 = 0. Calculate s.
-14/11, -1
Determine l so that 1035*l**2 + 10360*l + 100 = 0.
-10, -2/207
Factor -4*n**5/7 + 1360*n**4/7 - 1356*n**3/7.
-4*n**3*(n - 339)*(n - 1)/7
Suppose -2*v**4/3 - 10*v**3 + 16*v**2 + 232*v/3 - 128 = 0. What is v?
-16, -3, 2
Factor -2*w**2/5 - 14*w/5 - 24/5.
-2*(w + 3)*(w + 4)/5
Factor u**5 + u**4 - 4*u**3 - 4*u**2.
u**2*(u - 2)*(u + 1)*(u + 2)
Factor l**4 - 21*l**2 + 20*l.
l*(l - 4)*(l - 1)*(l + 5)
Suppose -x**5 + 25*x**4/4 - 3*x**3/2 - 22*x**2 - 19*x/2 + 15/4 = 0. What is x?
-1, 1/4, 3, 5
Suppose -4*c**4 + 772*c**3 + 12*c**2 - 2324*c + 1544 = 0. What is c?
-2, 1, 193
What is p in -2*p**3/5 + 332*p**2/5 - 130*p - 984/5 = 0?
-1, 3, 164
Let 22*r**4/3 + 16*r**3 + 10*r**2 + 4*r/3 = 0. Calculate r.
-1, -2/11, 0
Suppose -b**2/2 + 13*b/2 - 15 = 0. Calculate b.
3, 10
Find t such that t**2 - 147*t = 0.
0, 147
Solve -4*y**3/9 + 16*y**2/9 + 4*y/9 - 16/9 = 0 for y.
-1, 1, 4
Factor -2*i**4 + 18*i**2 - 8*i - 24.
-2*(i - 2)**2*(i + 1)*(i + 3)
Determine n so that 4*n**4 + 56*n**3 + 188*n**2 + 40*n - 288 = 0.
-9, -4, -2, 1
Factor 2*o**2/5 - 38*o/5 + 68/5.
2*(o - 17)*(o - 2)/5
Solve -v**2 + 2*v + 3 = 0 for v.
-1, 3
Factor x**2/11 - 9*x - 100/11.
(x - 100)*(x + 1)/11
Factor -2*n**2 + 22*n/3 - 4.
-2*(n - 3)*(3*n - 2)/3
Find o, given that -39*o**3 + 189*o**2 - 126*o - 24 = 0.
-2/13, 1, 4
Factor 3*a**3/8 - 45*a**2/8 - 339*a/4 - 225.
3*(a - 25)*(a + 4)*(a + 6)/8
Let -2*c**3/9 + 2*c**2/9 + 34*c/9 + 10/3 = 0. Calculate c.
-3, -1, 5
Factor -3*s**3 + 57*s**2.
-3*s**2*(s - 19)
Determine z, given that -5*z**5 + 315*z**4 - 4450*z**3 + 26360*z**2 - 71520*z + 73600 = 0.
4, 5, 46
Factor -5*t**5 - 20*t**4 + 15*t**3 + 90*t**2.
-5*t**2*(t - 2)*(t + 3)**2
Let -4*y**5 