8*c + 672 = 0.
7, 12
Let 2*g**4/5 - 8*g**3/5 - 2*g**2 = 0. Calculate g.
-1, 0, 5
Factor 7*c**3/2 - 61*c**2/2 + 54*c + 18.
(c - 6)*(c - 3)*(7*c + 2)/2
Factor -2*p**4 + 9*p**3 + 8*p**2 - 15*p.
-p*(p - 5)*(p - 1)*(2*p + 3)
Factor 3*q**2/2 + 621*q + 1239/2.
3*(q + 1)*(q + 413)/2
Solve -2*j**2/3 - 118*j/3 + 244/3 = 0 for j.
-61, 2
Solve -3*n**4 + 111*n**3 - 585*n**2 + 849*n - 372 = 0.
1, 4, 31
Let -2*m**5 - 8*m**4 + 82*m**3 + 112*m**2 - 296*m - 320 = 0. What is m?
-8, -2, -1, 2, 5
Determine x so that 12*x**3 - 105*x**2 - 27*x = 0.
-1/4, 0, 9
Let 16*h**3 - 92*h**2 - 136*h - 28 = 0. Calculate h.
-1, -1/4, 7
Let a**2/4 - 63*a/4 + 243 = 0. Calculate a.
27, 36
Factor -9*t**3 + 109*t**2 - 336*t + 36.
-(t - 6)**2*(9*t - 1)
Find f, given that -f**3/5 + 13*f**2/5 = 0.
0, 13
Factor -3*m**2/7 - 570*m/7 - 81.
-3*(m + 1)*(m + 189)/7
Suppose -q**3/4 + 71*q**2 - 19877*q/4 - 20449/2 = 0. Calculate q.
-2, 143
Factor -3*c**4 - 30*c**3 - 21*c**2 + 54*c.
-3*c*(c - 1)*(c + 2)*(c + 9)
Factor -2*c**3 - 6*c**2 + 72*c - 64.
-2*(c - 4)*(c - 1)*(c + 8)
Factor -28*n**3 - 8*n**2 + 28*n + 8.
-4*(n - 1)*(n + 1)*(7*n + 2)
Factor -20*w**4 - 105*w**3 - 25*w**2.
-5*w**2*(w + 5)*(4*w + 1)
Solve 4*b**3 + 20*b**2 - 32*b - 48 = 0 for b.
-6, -1, 2
Find x, given that -x**2/4 - 96*x + 385/4 = 0.
-385, 1
Solve -y**2/6 + 79*y/3 - 6241/6 = 0.
79
Solve -l**3 - 62*l**2 - 961*l = 0.
-31, 0
Solve -4*i**2 - 152*i - 544 = 0 for i.
-34, -4
Factor 3*m**3 - 288*m**2 + 8487*m - 70602.
3*(m - 41)**2*(m - 14)
Let 2*d**2 - 24*d - 26 = 0. Calculate d.
-1, 13
Suppose 2*m**2 + 4968*m + 4966 = 0. Calculate m.
-2483, -1
Solve -2*c**5 - 42*c**4 - 70*c**3 + 114*c**2 = 0.
-19, -3, 0, 1
Factor 20*t**3/7 + 3288*t**2/7 + 1312*t/7.
4*t*(t + 164)*(5*t + 2)/7
Factor 38*a**4 - 98*a**3 - 48*a**2.
2*a**2*(a - 3)*(19*a + 8)
Factor 9*g**4 - 60*g**3 + 117*g**2 - 54*g.
3*g*(g - 3)**2*(3*g - 2)
Solve -2*h**2/3 + 56*h + 174 = 0.
-3, 87
What is k in 2*k**5/13 - 62*k**4/13 + 210*k**3/13 + 14*k**2 - 524*k/13 - 432/13 = 0?
-1, 2, 4, 27
Suppose 3*p**2/5 + 12*p + 60 = 0. What is p?
-10
Let -2*u**2 + 16*u - 30 = 0. What is u?
3, 5
Solve -4*x**5 + 28*x**4 - 48*x**3 - 16*x**2 + 64*x = 0.
-1, 0, 2, 4
Factor v**5 + 44*v**4 - 288*v**3 + 592*v**2 - 400*v.
v*(v - 2)**3*(v + 50)
Suppose y**4/3 - 34*y**3/3 + 31*y**2/3 + 22*y = 0. Calculate y.
-1, 0, 2, 33
Determine v so that -5*v**4 - 160*v**3 + 525*v**2 = 0.
-35, 0, 3
Factor -q**4 - 5*q**3 + 14*q**2.
-q**2*(q - 2)*(q + 7)
Factor 2*w**3/17 - 28*w**2/17 + 22*w/17 + 52/17.
2*(w - 13)*(w - 2)*(w + 1)/17
Suppose 3*w**2 - 18*w + 27 = 0. What is w?
3
Factor -3*p**3/5 - 789*p**2/5 - 50673*p/5 + 159201/5.
-3*(p - 3)*(p + 133)**2/5
Factor -3*a**2/4 + 150*a - 7500.
-3*(a - 100)**2/4
Find t, given that -4*t**5 = 0.
0
Find y, given that 3*y**5/8 - 57*y**4 - 351*y**3 - 2829*y**2/4 - 4731*y/8 - 711/4 = 0.
-3, -1, 158
Determine s, given that 3*s**2/5 - 438*s/5 = 0.
0, 146
Factor -p**4/3 + 2*p**3/3 + 29*p**2/3 + 14*p.
-p*(p - 7)*(p + 2)*(p + 3)/3
Let -y**4 - 12*y**3 + 31*y**2 + 42*y = 0. What is y?
-14, -1, 0, 3
Factor -5*c**3 + 1235*c**2 + 6300*c.
-5*c*(c - 252)*(c + 5)
Find i, given that -2*i**2/15 = 0.
0
Factor -2*c**4 + 16*c**3 + 86*c**2 + 116*c + 48.
-2*(c - 12)*(c + 1)**2*(c + 2)
Factor -2*w**3/3 + 28*w**2/3 - 6*w - 216.
-2*(w - 9)**2*(w + 4)/3
Find j such that -5*j**4/2 + 385*j**3 - 30405*j**2/2 + 29260*j - 14440 = 0.
1, 76
Solve 1885*x**3 + 7535*x**2 + 7520*x - 20 = 0.
-2, 1/377
Factor -4*i**4 - 28*i**3 + 208*i**2 - 368*i + 192.
-4*(i - 2)**2*(i - 1)*(i + 12)
Let -3*n**4 - 408*n**3 - 9192*n**2 + 318240*n - 1825200 = 0. Calculate n.
-78, 10
Let -t**4/3 + 7*t**3/3 - 7*t**2/3 - 5*t = 0. What is t?
-1, 0, 3, 5
Factor -3*y**4 - 123*y**3 + 1278*y**2 - 3552*y + 2400.
-3*(y - 4)**2*(y - 1)*(y + 50)
Find l, given that 4*l**5/7 - 2336*l**4/7 = 0.
0, 584
Factor b**4/3 + 2*b**3/3 - b**2/3 - 2*b/3.
b*(b - 1)*(b + 1)*(b + 2)/3
Find z such that -25*z**3 - 30410*z**2 - 9253760*z - 3696640 = 0.
-608, -2/5
Find p, given that 2*p**3/7 - 110*p**2/7 - 2466*p/7 - 11826/7 = 0.
-9, 73
Factor t**2 + 251*t + 1944.
(t + 8)*(t + 243)
Find z, given that 2*z**2/13 - 744*z/13 + 69192/13 = 0.
186
Determine a so that -35*a**5/6 + 155*a**4/3 - 80*a**3 + 85*a**2/3 + 35*a/6 = 0.
-1/7, 0, 1, 7
Factor -2*k**5/9 + 62*k**4/9 + 64*k**3 + 1808*k**2/9 + 2464*k/9 + 416/3.
-2*(k - 39)*(k + 2)**4/9
Factor -b**3/3 + 10*b**2/3 - 13*b/3 - 8.
-(b - 8)*(b - 3)*(b + 1)/3
Factor -3*c**5/2 + 111*c**4/2 - 1215*c**3/2 + 5325*c**2/2 - 4125*c.
-3*c*(c - 22)*(c - 5)**3/2
Factor 7*o**3 + 2*o**2 - 7*o - 2.
(o - 1)*(o + 1)*(7*o + 2)
Factor 2*j**2/5 - 76*j/5 + 144/5.
2*(j - 36)*(j - 2)/5
Suppose -11*c**2/3 + 4255*c/3 + 258 = 0. Calculate c.
-2/11, 387
Factor 2*b**4/7 - 12*b**3/7 + 18*b**2/7.
2*b**2*(b - 3)**2/7
Let -2*l**2/11 - 8716*l/11 - 9496082/11 = 0. What is l?
-2179
Factor -4*j**5 - 4*j**4 + 12*j**3 + 20*j**2 + 8*j.
-4*j*(j - 2)*(j + 1)**3
Factor c**5 - 47*c**3 - 6*c**2 + 460*c + 600.
(c - 5)**2*(c + 2)**2*(c + 6)
Factor -2*t**3 + 104*t**2 - 1352*t.
-2*t*(t - 26)**2
Factor -b**5 + 9*b**4 - 22*b**3 + 32*b.
-b*(b - 4)**2*(b - 2)*(b + 1)
Determine z, given that -16*z**5/3 - 36*z**4 + 508*z**3/3 + 1304*z**2 + 816*z - 288 = 0.
-6, -1, 1/4, 6
Factor 5*s**2 - 100*s - 220.
5*(s - 22)*(s + 2)
Factor x**2/12 + 85*x/12 + 7.
(x + 1)*(x + 84)/12
Factor v**2/6 + 8*v + 47/6.
(v + 1)*(v + 47)/6
Factor 2*u**2/5 + 102*u/5 - 104/5.
2*(u - 1)*(u + 52)/5
Let 2*c**3/17 - 278*c**2/17 + 12464*c/17 - 181944/17 = 0. What is c?
38, 63
Find m such that 7*m**2/3 + 29*m = 0.
-87/7, 0
Factor -n**3 + 3*n**2 - 2*n.
-n*(n - 2)*(n - 1)
Find o, given that o**5/2 - 143*o**4/2 - 672*o**3 - 1816*o**2 - 1216*o = 0.
-4, -1, 0, 152
Solve 35*b**5 + 165*b**4 - 260*b**3 - 1060*b**2 + 1440*b - 320 = 0 for b.
-4, 2/7, 1, 2
Factor -4*o**4 - 4*o**3 + 48*o**2 - 16*o - 64.
-4*(o - 2)**2*(o + 1)*(o + 4)
Solve 2*f**2/3 + 404*f/3 - 1648/3 = 0.
-206, 4
Let 3*h**5/4 - 321*h**4/4 + 312*h**3 - 309*h**2 = 0. What is h?
0, 2, 103
Solve 2*l**4 - 742*l**3/3 + 22054*l**2/3 + 18354*l + 5292 = 0.
-2, -1/3, 63
Suppose x**4 - 6*x**3 - 3*x**2 + 52*x - 60 = 0. Calculate x.
-3, 2, 5
Solve -18*p**4 + 42*p**3 + 71*p**2/2 - 70*p - 50 = 0.
-5/6, 2
Find u such that -2*u**4 - 18*u**3 + 32*u**2 + 120*u = 0.
-10, -2, 0, 3
Factor -25*o**4 + 3080*o**3 - 93624*o**2 - 76384*o - 15376.
-(o - 62)**2*(5*o + 2)**2
Factor h**5/8 - h**4/8 - h**3/8 + h**2/8.
h**2*(h - 1)**2*(h + 1)/8
Suppose -45*n**4 + 640*n**3 + 175*n**2 - 11770*n + 2600 = 0. What is n?
-4, 2/9, 5, 13
Suppose -5*u**3 - 210*u**2 = 0. What is u?
-42, 0
What is a in a**4/4 + 45*a**3/4 + 303*a**2/2 + 560*a + 600 = 0?
-20, -3, -2
Determine f, given that f**3 - 16*f**2 + 20*f + 400 = 0.
-4, 10
Solve -11*j**2 + 365*j - 66 = 0 for j.
2/11, 33
Factor -d**2/2 - 11*d/2 + 6.
-(d - 1)*(d + 12)/2
Factor -243*x**2 - 726*x + 9.
-3*(x + 3)*(81*x - 1)
Suppose 20*a**4 + 96*a**3 + 56*a**2 - 96*a - 76 = 0. Calculate a.
-19/5, -1, 1
Suppose i**3/3 + 290*i**2 = 0. What is i?
-870, 0
Suppose v**3 - 19*v**2 + 80*v + 100 = 0. What is v?
-1, 10
Solve 2*u**5 - 6*u**4 - 18*u**3 - 10*u**2 = 0.
-1, 0, 5
Factor z**4/4 + 435*z**3/2 + 190093*z**2/4 + 94395*z + 47089.
(z + 1)**2*(z + 434)**2/4
Factor 5*d**5 + 60*d**4 + 150*d**3 + 140*d**2 + 45*d.
5*d*(d + 1)**3*(d + 9)
Factor -16*d**3 - 56*d**2 + 495*d - 648.
-(d + 8)*(4*d - 9)**2
Factor 2*b**2/5 - 4*b/5.
2*b*(b - 2)/5
Let -18*r**4 + 176*r**3 - 86*r**2 - 352*r - 72 = 0. What is r?
-1, -2/9, 2, 9
Determine i so that -4*i**5 - 44*i**4 + 100*i**3 - 52*i**2 = 0.
-13, 0, 1
Solve 2*m**5/25 + 104*m**4/5 - 1054*m**3/25 - 1564*m**2/25 + 2104*m/25 + 2096/25 = 0.
-262, -1, 2
Solve 2*o**3/7 + 4*o**2/7 - 2*o/7 - 4/7 = 0 for o.
-2, -1, 1
Solve -3*j**5 + 24*j**4 + 129*j**3 + 174*j**2 + 72*j = 0 for j.
-2, -1, 0, 12
Let -p**4/5 + 640*p**3 - 2556798*p**2/5 - 1024640*p - 2563201/5 = 0. Calculate p.
-1, 1601
Determine i so that -i**3/2 + 43*i**2/2 - 61*i + 40 = 0.
1, 2, 40
Determine q, given that q**5/3 - 7*q**4/3 + 6*q**3 - 20*q**2/3 + 8*q/3 = 0.
0, 1, 2
Let 6*d**2/5 + 3*d + 6/5 = 0. Calculate d.
-2, -1/2
Determine c so that 2*c**5/3 - 62*c**4/3 - 206*c**3/3 + 62*c**2/3 + 68*c = 0.
-3, -1, 0, 1, 34
Factor u**3/10 + 7*u**2/10 - u - 8/5.
(u - 2)*(u + 1)*(u + 8)/10
Solve h**3/4 + 4*h**2 + 15*h/4 = 0 for h.
-15, -1, 0
Determine c so that -9*c**4/5 + 42*c**3/5 + 168*c**2/5 - 138