 0, 2
Solve 4*g**3 - 28*g - 24 = 0 for g.
-2, -1, 3
Find c such that -4*c**3 - 952*c**2 - 14464*c - 56832 = 0.
-222, -8
Factor 4*h**2 - 8960*h.
4*h*(h - 2240)
Find u, given that u**5 - u**4 - 4*u**3 + 4*u**2 = 0.
-2, 0, 1, 2
Determine u, given that 5*u**2 - 200*u - 880 = 0.
-4, 44
Factor u**2 + 193*u + 382.
(u + 2)*(u + 191)
Solve 3*a**3 - 24*a**2 + 21*a = 0.
0, 1, 7
Determine g so that 4*g**2/3 + 404*g/3 + 1904 = 0.
-84, -17
Factor 3*y**3/2 - 9*y**2 + 27*y/2.
3*y*(y - 3)**2/2
Solve 10*n**2 - n = 0 for n.
0, 1/10
Find r such that -2*r**2 + 36*r - 112 = 0.
4, 14
Determine l so that -2*l**3/7 - 8*l**2/7 + 2*l/7 + 8/7 = 0.
-4, -1, 1
Let -m**3 + 32*m**2 - 61*m + 30 = 0. Calculate m.
1, 30
Suppose -2*l**3 - 8*l**2 + 10*l = 0. Calculate l.
-5, 0, 1
Solve -3*b**3 - 24*b**2 + 63*b + 324 = 0 for b.
-9, -3, 4
Factor -10*k**4 + 4*k**3 + 6*k**2.
-2*k**2*(k - 1)*(5*k + 3)
Factor 9*u**3/8 + 177*u**2/2 - 957*u/8 + 30.
3*(u - 1)*(u + 80)*(3*u - 1)/8
Factor 5*d**2/2 - 35*d/2 + 30.
5*(d - 4)*(d - 3)/2
Suppose 6*l**3/5 + 798*l**2/5 + 1578*l/5 + 786/5 = 0. What is l?
-131, -1
Find g, given that 15*g**5/4 - 29*g**4/4 + 13*g**3/4 + g**2/4 = 0.
-1/15, 0, 1
Solve -i**2 - 169*i + 170 = 0 for i.
-170, 1
Determine r, given that 8*r**5 - 76*r**4 - 40*r**3 = 0.
-1/2, 0, 10
Factor 4*r**3/21 + 2*r**2/3 - 2*r/3 - 8/7.
2*(r + 1)*(r + 4)*(2*r - 3)/21
Find u such that -3*u**3/4 + 7485*u**2/2 - 18675075*u/4 = 0.
0, 2495
Suppose -49*c**4/5 + 247*c**3/5 - 157*c**2/5 - 87*c + 18/5 = 0. Calculate c.
-1, 2/49, 3
Factor 2*q**2 + 792*q.
2*q*(q + 396)
Suppose 2*q**3/17 + 114*q**2/17 + 1566*q/17 - 1682/17 = 0. Calculate q.
-29, 1
Factor 9*c**2/2 - 74*c + 304.
(c - 8)*(9*c - 76)/2
Factor i**3/9 + 10*i**2 + 176*i/9.
i*(i + 2)*(i + 88)/9
Find z such that -25*z**4 + 10*z**3 + 99*z**2 - 40*z + 4 = 0.
-2, 1/5, 2
Factor m**5/7 + m**4/7 - 4*m**3/7 - 4*m**2/7.
m**2*(m - 2)*(m + 1)*(m + 2)/7
Suppose -2*i**3/11 - 40*i**2/11 = 0. Calculate i.
-20, 0
Factor -2*m**4/19 + 710*m**3/19 - 83538*m**2/19 + 3200386*m/19 + 6740636/19.
-2*(m - 119)**3*(m + 2)/19
Factor -3*k**3/7 - 414*k**2/7 - 19044*k/7 - 292008/7.
-3*(k + 46)**3/7
Determine y, given that 2*y**4/7 + 20*y**3/7 + 66*y**2/7 + 88*y/7 + 40/7 = 0.
-5, -2, -1
Find u, given that 5*u**3 - 740*u**2 + 11135*u = 0.
0, 17, 131
Factor -m**3/2 + 52*m**2 - 1925*m/2 + 4961.
-(m - 82)*(m - 11)**2/2
Solve -28*a**2 + 1084*a + 312 = 0 for a.
-2/7, 39
Factor u**3 + 49*u**2 + 520*u - 2028.
(u - 3)*(u + 26)**2
Find i such that -3*i**2 - 36*i + 39 = 0.
-13, 1
Solve c**5 + 10*c**4 - 7*c**3 - 76*c**2 - 60*c = 0.
-10, -2, -1, 0, 3
Factor 4*j**3/7 + 72*j**2/7 + 96*j/7 - 256.
4*(j - 4)*(j + 8)*(j + 14)/7
Factor 2*x**4/7 + 12*x**3/7 + 18*x**2/7 - 8*x/7 - 24/7.
2*(x - 1)*(x + 2)**2*(x + 3)/7
Factor -2*h**2/13 - 236*h/13 - 6962/13.
-2*(h + 59)**2/13
Factor -15*h**2 + 423*h - 2226.
-3*(h - 7)*(5*h - 106)
Factor 5*a**2 - 145*a + 390.
5*(a - 26)*(a - 3)
Factor -f**2 + 3*f + 70.
-(f - 10)*(f + 7)
Find j, given that j**5/5 - 16*j**4/5 - 156*j**3/5 - 122*j**2/5 + 31*j + 138/5 = 0.
-6, -1, 1, 23
Factor -4*z**4 - 60*z**3 - 248*z**2 - 192*z.
-4*z*(z + 1)*(z + 6)*(z + 8)
Factor 5*l**3 - 1010*l**2 - 3125*l + 10250.
5*(l - 205)*(l - 2)*(l + 5)
What is x in -4*x**4/3 - 4*x**3 + 24*x**2 + 160*x/3 = 0?
-5, -2, 0, 4
Factor z**4/4 - 9*z**3/4 + 7*z**2 - 9*z + 4.
(z - 4)*(z - 2)**2*(z - 1)/4
Determine r so that -26*r**3 - 238*r**2 - 504*r - 72 = 0.
-6, -3, -2/13
Factor -4*g**2/7 + 88*g/7 - 484/7.
-4*(g - 11)**2/7
What is g in -6*g**2 - 227*g/7 + 150/7 = 0?
-6, 25/42
Let -3*z**2 - 7*z - 2 = 0. Calculate z.
-2, -1/3
Let 6*t**5 - 22*t**4 - 230*t**3 - 482*t**2 - 352*t - 72 = 0. What is t?
-2, -1, -1/3, 9
Factor 2*m**2 - 9736*m + 9734.
2*(m - 4867)*(m - 1)
Factor -3*o**3 + 591*o**2 - 29973*o + 84681.
-3*(o - 97)**2*(o - 3)
What is b in -2*b**2 + 1064*b - 2120 = 0?
2, 530
What is y in -2*y**3/9 - 2*y**2/9 + 4*y/9 = 0?
-2, 0, 1
Factor 3*u**4/4 - 21*u**3/4 + 9*u**2 + 3*u - 12.
3*(u - 4)*(u - 2)**2*(u + 1)/4
What is p in 2*p**4/3 + 4*p**3 - 26*p**2 + 32*p/3 + 40 = 0?
-10, -1, 2, 3
Factor w**2/3 - 6*w.
w*(w - 18)/3
Factor 2*y**3/5 - 2*y/5.
2*y*(y - 1)*(y + 1)/5
Factor -2*y**4 - 14*y**3.
-2*y**3*(y + 7)
Factor -4*z**2 - 1376*z - 6780.
-4*(z + 5)*(z + 339)
Factor 28*u**2 - 58*u + 4.
2*(u - 2)*(14*u - 1)
Factor -d**5 - d**4 + 6*d**3 - 2*d**2 - 5*d + 3.
-(d - 1)**3*(d + 1)*(d + 3)
Factor -4*v**4/5 - 48*v**3/5 - 108*v**2/5.
-4*v**2*(v + 3)*(v + 9)/5
What is a in 2*a**4 - 82*a**3 + 786*a**2 + 1386*a - 5292 = 0?
-3, 2, 21
What is p in -p**3/5 - 64*p**2/5 - 25*p - 62/5 = 0?
-62, -1
Solve 3*u**5 + 12*u**4 - 36*u**3 + 6*u**2 + 33*u - 18 = 0 for u.
-6, -1, 1
Factor 5*c**2 + 860*c - 1740.
5*(c - 2)*(c + 174)
Factor -3*z**2 + 198*z - 3267.
-3*(z - 33)**2
Factor 14*n**4 - 20*n**3 - 8*n**2 + 20*n - 6.
2*(n - 1)**2*(n + 1)*(7*n - 3)
Factor -w**4/7 - 3*w**3/7 + w**2 + 15*w/7 - 18/7.
-(w - 2)*(w - 1)*(w + 3)**2/7
Suppose -6*n**5/13 - 506*n**4/13 - 660*n**3/13 + 340*n**2/13 + 666*n/13 + 166/13 = 0. Calculate n.
-83, -1, -1/3, 1
What is s in -2*s**3/7 + 58*s**2/7 + 1788*s/7 + 1728/7 = 0?
-18, -1, 48
Suppose -3*q**2 - 6*q + 297 = 0. What is q?
-11, 9
Suppose -5*r**2 - 1370*r - 93845 = 0. What is r?
-137
Let x**2/8 - 541*x/8 - 271/4 = 0. What is x?
-1, 542
Solve 2*q**5 + 52*q**4 + 430*q**3 + 1220*q**2 + 168*q - 1872 = 0.
-13, -6, -2, 1
What is p in p**4 + p**3 - 14*p**2 - 24*p = 0?
-3, -2, 0, 4
Find v such that 2*v**2/3 + 50*v/3 + 16 = 0.
-24, -1
Factor 3*a**5 - 54*a**4 - 405*a**3 + 9396*a**2 + 11664*a - 419904.
3*(a - 12)**3*(a + 9)**2
Factor 5*b**2 - 35*b - 390.
5*(b - 13)*(b + 6)
Determine t, given that -7442*t**2/3 + 976*t/3 - 32/3 = 0.
4/61
Factor 6*i**2/7 - 104*i/7 - 72/7.
2*(i - 18)*(3*i + 2)/7
Let -f**3/7 - f**2/7 + f/7 + 1/7 = 0. Calculate f.
-1, 1
Suppose 2*a**3 - 16*a**2 + 8*a + 96 = 0. Calculate a.
-2, 4, 6
Determine i so that 5*i**5 + 5*i**4 - 35*i**3 - 65*i**2 - 30*i = 0.
-2, -1, 0, 3
Suppose -2*o**2 - 430*o - 428 = 0. What is o?
-214, -1
Factor y**3 + 59*y**2 + 840*y - 900.
(y - 1)*(y + 30)**2
Suppose 3*j**5 + 18*j**4 - 3*j**3 - 18*j**2 = 0. Calculate j.
-6, -1, 0, 1
Factor -15*s**2 - 145*s - 130.
-5*(s + 1)*(3*s + 26)
What is a in -a**3 + 255*a**2 - 16383*a + 16129 = 0?
1, 127
Solve 3*g**2/7 + 36*g/7 - 135/7 = 0.
-15, 3
Factor 12*u**3 + 1035*u**2 - 1854*u - 528.
3*(u - 2)*(u + 88)*(4*u + 1)
Factor -2*o**4 - 2*o**3 + 46*o**2 - 78*o + 36.
-2*(o - 3)*(o - 1)**2*(o + 6)
Suppose -3*g**5/2 - 19*g**4/2 + 23*g**3/2 + 63*g**2/2 - 2*g - 14 = 0. Calculate g.
-7, -1, 2/3, 2
Factor y**3 + 61*y**2 + 920*y + 4100.
(y + 10)**2*(y + 41)
Factor 100*i**3 + 15720*i**2 - 12624*i + 2528.
4*(i + 158)*(5*i - 2)**2
Solve m**4/3 + 6988*m**3/3 + 12201046*m**2/3 - 8141020*m + 4071675 = 0.
-3495, 1
Factor -18*y**3 + 2*y**2 + 56*y - 40.
-2*(y - 1)*(y + 2)*(9*y - 10)
Factor p**4/3 - 6*p**3 + 11*p**2 - 16*p/3.
p*(p - 16)*(p - 1)**2/3
Factor 3*o**5 - 3*o**4 - 3*o**3 + 3*o**2.
3*o**2*(o - 1)**2*(o + 1)
Factor -2*j**3/3 - 8*j**2/3 + 2*j/3 + 8/3.
-2*(j - 1)*(j + 1)*(j + 4)/3
Let -2*z**2/3 - 398*z + 6020/3 = 0. Calculate z.
-602, 5
What is y in 2*y**4/5 + 28*y**3/5 + 74*y**2/5 - 168*y/5 - 216/5 = 0?
-9, -6, -1, 2
Suppose 9*k**5/5 - 99*k**4/5 + 34*k**3 - 14*k**2 - 19*k/5 + 9/5 = 0. Calculate k.
-1/3, 1/3, 1, 9
Find x, given that 5*x**2 - 880*x - 885 = 0.
-1, 177
Let -3*y**4 + 219*y**3 + 3*y**2 - 219*y = 0. Calculate y.
-1, 0, 1, 73
Factor 4*q**3/5 + 16*q**2/5.
4*q**2*(q + 4)/5
Factor 5*n**2 + 440*n + 435.
5*(n + 1)*(n + 87)
Factor 9*u**3/5 - 879*u**2 - 2933*u/5 - 489/5.
(u - 489)*(3*u + 1)**2/5
Factor 4*x**2 - 268*x + 264.
4*(x - 66)*(x - 1)
Suppose -2*g**5/7 - 2*g**4/7 + 4*g**3/7 + 4*g**2/7 - 2*g/7 - 2/7 = 0. Calculate g.
-1, 1
What is u in 4*u**2/5 - 4*u/5 - 88 = 0?
-10, 11
Factor -m**2/4 + 81*m/4 - 79/2.
-(m - 79)*(m - 2)/4
Factor 5*x**2 - 2525*x + 2520.
5*(x - 504)*(x - 1)
Factor 2*x**2/7 + 1606*x/7 + 1604/7.
2*(x + 1)*(x + 802)/7
Factor 2*r**3 + 340*r**2 + 666*r - 1008.
2*(r - 1)*(r + 3)*(r + 168)
Let f**2/7 - 2*f/7 - 8/7 = 0. What is f?
-2, 4
Let -3*h**2/4 - 309*h - 31827 = 0. What is h?
-206
Determine a, given that -22*a**3/3 - 70*a**2 - 416*a/3 - 56 = 0.
-7, -2, -6/11
Factor 2992*q**3 - 844*q**2 + 24*q.
4*q*(4*q - 1)*(187*q - 6)
Determine w, given that w**2/3 + 7*w = 0.
-21, 0
Factor -2*o**3/7 + 8628*o**2/7 - 9305298*o/7.
-2*o*(o - 21