 - 19*z**2 + 5*z = 0 for z.
-5, -1, 0, 2/5
Solve -1380*n**4/7 + 1749*n**3/7 - 375*n**2/7 + 6*n/7 = 0 for n.
0, 2/115, 1/4, 1
Find a such that -2*a**4/7 - 132*a**3 - 1842*a**2/7 - 920*a/7 = 0.
-460, -1, 0
Let -3*q**3/7 + 39*q**2/7 + 3195*q/7 + 29025/7 = 0. Calculate q.
-15, 43
Factor 2*b**4/7 - 2*b**3 + 24*b**2/7 + 8*b/7 - 32/7.
2*(b - 4)*(b - 2)**2*(b + 1)/7
Suppose -2640*c**2 - 2665*c - 25 = 0. What is c?
-1, -5/528
Factor -7*g**2/2 - 1847*g/2 + 132.
-(g + 264)*(7*g - 1)/2
Let -2*m**2/3 + 412*m/3 - 21218/3 = 0. What is m?
103
What is k in 3*k**2 + 174*k + 336 = 0?
-56, -2
Solve -d**5 - 81*d**4 - 1995*d**3 - 15523*d**2 = 0 for d.
-43, -19, 0
Let -z**3 + 1183*z**2 - 349280*z - 350464 = 0. Calculate z.
-1, 592
Solve 3*u**2 - 5112*u + 2177712 = 0.
852
Solve -8*j**2/3 + 9466*j/3 - 2366/3 = 0 for j.
1/4, 1183
Suppose 3*n**2/7 - 1116*n/7 = 0. Calculate n.
0, 372
Factor -3*j**2 + 1614*j + 3240.
-3*(j - 540)*(j + 2)
Determine w so that -2*w**4/23 - 4*w**3/23 + 10*w**2/23 + 12*w/23 = 0.
-3, -1, 0, 2
Suppose 4*d**3 + 32*d**2 - 36*d = 0. Calculate d.
-9, 0, 1
Factor -2*m**4 + 42*m**3 - 226*m**2 + 438*m - 252.
-2*(m - 14)*(m - 3)**2*(m - 1)
Factor 3213*u**2/4 - 3219*u/4 + 3/2.
3*(u - 1)*(1071*u - 2)/4
Factor -242*f**5/3 + 88*f**4 - 24*f**3.
-2*f**3*(11*f - 6)**2/3
Factor 3*j**3 - 1887*j**2 + 7512*j - 7500.
3*(j - 625)*(j - 2)**2
Determine p so that p**2 - 3419*p - 3420 = 0.
-1, 3420
Factor -b**2 + 99*b + 202.
-(b - 101)*(b + 2)
Factor 5*r**3 + 215*r**2 - 445*r + 225.
5*(r - 1)**2*(r + 45)
Find d, given that 2*d**4 - 8*d**3 - 74*d**2 - 136*d - 72 = 0.
-2, -1, 9
Factor -t**4 + 3*t**3 - t**2 - 3*t + 2.
-(t - 2)*(t - 1)**2*(t + 1)
Find v such that -4*v**3 + 128*v**2 - 1024*v = 0.
0, 16
Find k such that 5*k**2 - 145*k + 140 = 0.
1, 28
Let -5*y**4 - 330*y**3 - 5720*y**2 - 7680*y + 40960 = 0. What is y?
-32, -4, 2
Suppose -3*o**2/2 + 168*o - 4704 = 0. Calculate o.
56
Factor -5*u**3/2 + 90*u**2 + 5*u/2 - 90.
-5*(u - 36)*(u - 1)*(u + 1)/2
Factor -p**4/11 + 3*p**3/11 - 4*p/11.
-p*(p - 2)**2*(p + 1)/11
What is z in -2*z**5/5 + 8*z**4/5 - 8*z**3/5 = 0?
0, 2
Solve -9*i**5/4 + 66*i**4 - 61*i**3/4 - 391*i**2/2 + 205*i - 58 = 0.
-2, 2/3, 1, 29
Find y, given that y**4 + 11*y**3 + 15*y**2 - 67*y + 40 = 0.
-8, -5, 1
Let -5*u**2 + 170*u - 600 = 0. Calculate u.
4, 30
Solve -i**2 + 95*i + 96 = 0 for i.
-1, 96
Factor -2*x**2/9 - 40*x/9 - 128/9.
-2*(x + 4)*(x + 16)/9
What is i in -3*i**2/4 - 27*i/4 - 15 = 0?
-5, -4
Factor -k**2 - 3323*k - 3322.
-(k + 1)*(k + 3322)
Let n**2/2 - 25*n - 51/2 = 0. Calculate n.
-1, 51
Factor 3*t**2 - 150*t + 1875.
3*(t - 25)**2
Solve -4*r**5 + 28*r**4 - 64*r**3 + 32*r**2 + 64*r - 64 = 0.
-1, 2
Let -6*h**4/5 - 38*h**3/5 + 28*h**2/5 = 0. What is h?
-7, 0, 2/3
Factor 2*b**2 + 4212*b + 2217618.
2*(b + 1053)**2
Suppose m**5 - 41*m**4/3 + 58*m**3/3 + 8*m**2 = 0. What is m?
-1/3, 0, 2, 12
Factor 9*q**3/2 + 115*q**2/2 - 13*q.
q*(q + 13)*(9*q - 2)/2
Suppose -3*x**5 - 18*x**4 + 48*x**3 = 0. Calculate x.
-8, 0, 2
Factor -27*p**4 + 267*p**3 - 618*p**2 - 72*p.
-3*p*(p - 6)*(p - 4)*(9*p + 1)
Factor -18*z**2 - 172*z.
-2*z*(9*z + 86)
Let -4*o**3 - 356*o**2 + 728*o = 0. Calculate o.
-91, 0, 2
Factor -s**2/7 + 17*s/7 - 52/7.
-(s - 13)*(s - 4)/7
Factor 2*z**5/5 + 2*z**4 + 6*z**3/5 - 18*z**2/5.
2*z**2*(z - 1)*(z + 3)**2/5
Factor f**4 + 17*f**3 + 42*f**2 - 4*f - 56.
(f - 1)*(f + 2)**2*(f + 14)
Factor 3*b**4 + 534*b**3 - 4464*b**2.
3*b**2*(b - 8)*(b + 186)
Determine j so that -j**3/6 - 4*j**2 + j/6 + 4 = 0.
-24, -1, 1
Factor 3*b**2 + 183*b - 186.
3*(b - 1)*(b + 62)
Factor 6*c**4/7 + 12*c**3/7 - 216*c**2/7 + 528*c/7 - 384/7.
6*(c - 2)**3*(c + 8)/7
Suppose 12*b**4 - 68*b**3 + 28*b**2 + 372*b - 504 = 0. What is b?
-7/3, 2, 3
Factor o**3 + 3*o**2 - 240*o + 1216.
(o - 8)**2*(o + 19)
Factor -z**2/6 - 88*z/3 + 427/2.
-(z - 7)*(z + 183)/6
Suppose -b**2/2 + 353*b - 124609/2 = 0. Calculate b.
353
Factor -2*d**3/15 + 62*d/15 - 4.
-2*(d - 5)*(d - 1)*(d + 6)/15
Find g such that 3*g**5 + 12*g**4 - 9*g**3 - 30*g**2 + 24*g = 0.
-4, -2, 0, 1
Factor 2*k**5/5 - 6*k**4/5 - 18*k**3/5 + 54*k**2/5.
2*k**2*(k - 3)**2*(k + 3)/5
Find v, given that 155*v**3 - 630*v**2 + 40*v = 0.
0, 2/31, 4
What is p in -2*p**4 - 672*p**3 + 2030*p**2 - 1356*p = 0?
-339, 0, 1, 2
What is u in 96*u**4/7 - 28*u**3 - 26*u**2/7 + 64*u/7 + 8/7 = 0?
-1/2, -1/8, 2/3, 2
Suppose 4*b**5 + 40*b**4 - 12*b**3 - 416*b**2 + 208*b + 576 = 0. What is b?
-9, -4, -1, 2
Let -6*a**2/7 + 20*a - 176/7 = 0. Calculate a.
4/3, 22
Determine m, given that 8*m**5/25 + 34*m**4/25 + 32*m**3/25 + 6*m**2/25 = 0.
-3, -1, -1/4, 0
Solve 12*q**5 + 62*q**4/3 - 14*q**3 - 16*q**2 - 8*q/3 = 0.
-2, -1/2, -2/9, 0, 1
Factor -o**2/4 - 1907*o/2 - 3636649/4.
-(o + 1907)**2/4
Factor 2*u**3/7 - 16*u**2/7 - 130*u/7.
2*u*(u - 13)*(u + 5)/7
Determine v so that v**3/3 + 6*v**2 - 40*v/3 = 0.
-20, 0, 2
What is k in 2*k**2 + 1306*k = 0?
-653, 0
Let 4*k**2/7 - 20*k/7 - 96/7 = 0. Calculate k.
-3, 8
Suppose -2*c**2/5 - 9188*c/5 - 10552418/5 = 0. What is c?
-2297
Factor -3*c**2 - 543*c.
-3*c*(c + 181)
Let -2*r**3/11 - 892*r**2/11 - 99458*r/11 = 0. Calculate r.
-223, 0
Factor 2*l**2/3 + 2*l - 176/3.
2*(l - 8)*(l + 11)/3
Factor -46*t**2/3 + 14*t + 4/3.
-2*(t - 1)*(23*t + 2)/3
Solve -2*y**5/9 - 14*y**4/9 - 10*y**3/3 - 10*y**2/9 + 32*y/9 + 8/3 = 0 for y.
-3, -2, -1, 1
Suppose s**3/3 + 229*s**2/3 = 0. Calculate s.
-229, 0
Let 10*q**4 + 208*q**3/3 + 114*q**2 - 52*q/3 - 16 = 0. What is q?
-4, -3, -1/3, 2/5
Factor l**5/2 - 7*l**4/2 + 17*l**3/2 - 17*l**2/2 + 3*l.
l*(l - 3)*(l - 2)*(l - 1)**2/2
Determine k, given that -2*k**4/11 - 8*k**3/11 - 12*k**2/11 - 8*k/11 - 2/11 = 0.
-1
Find i such that -2*i**3/3 + 398*i**2/3 - 19190*i/3 - 20402 = 0.
-3, 101
Factor -n**5/5 + 246*n**4/5 - 15129*n**3/5.
-n**3*(n - 123)**2/5
Suppose 21*c**2 + 78*c - 24 = 0. Calculate c.
-4, 2/7
Factor a**3/2 - 4*a**2 - a/2 + 4.
(a - 8)*(a - 1)*(a + 1)/2
Let 2*f**2/3 - 16*f - 54 = 0. What is f?
-3, 27
Factor w**3/2 - w**2 - 5*w/2 + 3.
(w - 3)*(w - 1)*(w + 2)/2
Suppose 2*a**3/5 - 46*a**2/5 + 70*a - 882/5 = 0. Calculate a.
7, 9
Factor 3*b**5 - 18*b**4 + 36*b**3 - 30*b**2 + 9*b.
3*b*(b - 3)*(b - 1)**3
Let -c**4/2 + 37*c**3/6 + 16*c**2 - 62*c + 56/3 = 0. What is c?
-4, 1/3, 2, 14
Suppose -20*s**4 + 1185*s**3 + 2145*s**2 - 610*s = 0. Calculate s.
-2, 0, 1/4, 61
Determine k, given that 5*k**3 - 173*k**2/5 - 14*k/5 = 0.
-2/25, 0, 7
Solve 4*q**2 - 2636*q + 5256 = 0 for q.
2, 657
Find h, given that 36*h**4 + 576*h**3 - 28*h**2 - 440*h + 128 = 0.
-16, -1, 1/3, 2/3
Factor 2*s**2 - 54*s - 56.
2*(s - 28)*(s + 1)
Determine x, given that x**2/2 + 285*x/2 + 142 = 0.
-284, -1
What is a in 2*a**4/13 + 82*a**3/13 - 84*a**2/13 = 0?
-42, 0, 1
Factor -3*z**3/4 - 283*z**2/2 - 375*z/4 + 47.
-(z + 1)*(z + 188)*(3*z - 1)/4
Solve 2*x**5 - 4*x**4 - 78*x**3 + 16*x**2 + 280*x = 0.
-5, -2, 0, 2, 7
What is w in 3*w**4 - 147*w**3 + 2448*w**2 - 14592*w + 12288 = 0?
1, 16
Determine u, given that -2*u**3/7 - 10*u**2/7 - 16*u/7 - 8/7 = 0.
-2, -1
Determine b, given that 2*b**3 + 4*b**2 - 50*b - 100 = 0.
-5, -2, 5
Factor 2*v**3/17 + 1092*v**2/17 - 2*v/17 - 1092/17.
2*(v - 1)*(v + 1)*(v + 546)/17
Factor 3*y**3 + 666*y**2 + 657*y - 1326.
3*(y - 1)*(y + 2)*(y + 221)
Factor 2*r**4 - 42*r**3 + 172*r**2 - 192*r.
2*r*(r - 16)*(r - 3)*(r - 2)
Let 5*v**3 - 1025*v**2 + 4040*v - 4020 = 0. Calculate v.
2, 201
Factor 3*i**3 + 2199*i**2 + 401865*i - 404067.
3*(i - 1)*(i + 367)**2
Let -3*w**4 + 24*w**3 - 33*w**2 - 60*w = 0. Calculate w.
-1, 0, 4, 5
Suppose -3*q**4 - 6*q**3 + 3*q**2 + 6*q = 0. Calculate q.
-2, -1, 0, 1
Factor 2*g**3/9 + 2*g**2 + 22*g/9 - 14/3.
2*(g - 1)*(g + 3)*(g + 7)/9
Find j such that -105*j**5/2 + 85*j**4 + 15*j**3 - 80*j**2 + 75*j/2 - 5 = 0.
-1, 2/7, 1/3, 1
Solve -6*k**5 - 27*k**4 + 9*k**3 + 129*k**2 + 45*k - 54 = 0.
-3, -1, 1/2, 2
Factor -45*c**5 - 620*c**4 - 2065*c**3 + 490*c**2.
-5*c**2*(c + 7)**2*(9*c - 2)
Factor -3*n**2/4 + 147*n/2.
-3*n*(n - 98)/4
Factor 3*u**3 + 48*u**2 + 231*u + 294.
3*(u + 2)*(u + 7)**2
Determine n, given that -n**3/2 + 84*n**2 - 330*n + 328 = 0.
2, 164
Suppose -64*v**2/5 + 62*v/5 + 2/5 = 0. Calculate v.
-1/32, 1
Find s such that 2*s**3/3 - 338*s**2 + 43344*s - 127008 = 0.
3, 252
Factor -2*h**3 - 149*h**2/2 - 181*h/2 - 18.
-(h + 1)*(h + 36)*(4*h + 1)/2
Find d such that 245*d**5 - 1085*d**4 - 4845*d**3 + 2665*d**2 + 26