x**2 + 630*x.
5*x*(x - 9)*(11*x - 14)
Factor -3*l**2/8 - 1521*l/8 - 567.
-3*(l + 3)*(l + 504)/8
Factor -5*o**2 - 450*o + 455.
-5*(o - 1)*(o + 91)
Find t such that t**3/3 + 151*t**2/3 + 299*t/3 + 149/3 = 0.
-149, -1
Factor -5*y**3 - 25*y**2 + 10*y + 120.
-5*(y - 2)*(y + 3)*(y + 4)
Suppose -2*r**2 + 206*r - 204 = 0. What is r?
1, 102
Solve -5*c**4/4 + 85*c**3/4 - 155*c**2/4 + 75*c/4 = 0.
0, 1, 15
Factor -4*h**2 - 48*h - 80.
-4*(h + 2)*(h + 10)
Factor -a**4/5 + 2*a**3/5 + 7*a**2/5 + 4*a/5.
-a*(a - 4)*(a + 1)**2/5
Solve -2*h**2/7 - 74*h/7 - 372/7 = 0.
-31, -6
Factor 2*c**3/11 + 14*c**2/11 + 12*c/11.
2*c*(c + 1)*(c + 6)/11
Factor 125*w**4 - 575*w**3 + 605*w**2 + 495*w - 810.
5*(w - 2)*(w + 1)*(5*w - 9)**2
Determine n, given that 8*n**4 + 378*n**3 + 2966*n**2 - 2538*n - 814 = 0.
-37, -11, -1/4, 1
Factor 3*f**3/4 + 101*f**2/12 + 11*f/6.
f*(f + 11)*(9*f + 2)/12
Solve 4*w**2 + 264*w = 0.
-66, 0
Factor -5*h**3 - 1415*h**2 - 102200*h - 294000.
-5*(h + 3)*(h + 140)**2
Factor 33*l**2 + 237*l + 42.
3*(l + 7)*(11*l + 2)
Factor 6*g**4 - 27*g**3 + 18*g**2 + 60*g - 72.
3*(g - 2)**3*(2*g + 3)
Solve -r**4/6 - 11*r**3/3 + 12*r**2 - 37*r/3 + 25/6 = 0 for r.
-25, 1
What is k in -k**4/6 - 187*k**3/3 - 34969*k**2/6 = 0?
-187, 0
Factor -5*a**3 + 750*a**2 - 34125*a + 422500.
-5*(a - 65)**2*(a - 20)
Solve -5*a**2 - 360*a - 6480 = 0.
-36
Determine i so that i**5 - 15*i**4 + 74*i**3 - 110*i**2 - 75*i + 125 = 0.
-1, 1, 5
Let -5*q**4 + 75*q**3 + 380*q**2 = 0. Calculate q.
-4, 0, 19
Let -2*i**5/7 - 102*i**4/7 + 8*i**3/7 + 408*i**2/7 = 0. What is i?
-51, -2, 0, 2
Let -d**2/3 + 1194*d - 1069227 = 0. Calculate d.
1791
What is t in -5*t**5/3 - 5*t**4/3 + 100*t**3/3 = 0?
-5, 0, 4
Factor 3*v**2 - 1200*v + 120000.
3*(v - 200)**2
Factor 3*n**5/7 + 18*n**4/7 - 30*n**3/7 - 48*n**2/7 + 99*n/7 - 6.
3*(n - 1)**3*(n + 2)*(n + 7)/7
Let -2*a**3/3 - 16*a**2/3 - 10*a/3 + 28/3 = 0. What is a?
-7, -2, 1
What is s in 5*s**3/2 - 445*s**2/2 + 1660*s - 3240 = 0?
4, 81
Factor z**2 - 634*z + 100489.
(z - 317)**2
Factor -a**4 - 80*a**3 - 1599*a**2 + 80*a + 1600.
-(a - 1)*(a + 1)*(a + 40)**2
Suppose -y**4 - 80*y**3 - 2106*y**2 - 22984*y - 90077 = 0. What is y?
-41, -13
Factor -3*j**3 - 27*j**2 - 60*j - 36.
-3*(j + 1)*(j + 2)*(j + 6)
Solve 3*c**5/4 + 3*c**4/2 - 15*c**3/2 - 6*c**2 + 99*c/4 - 27/2 = 0.
-3, 1, 2
Factor o**2 + 73*o + 142.
(o + 2)*(o + 71)
Suppose 170*z**3 - 345*z**2 + 180*z - 5 = 0. What is z?
1/34, 1
Determine b so that 24*b**5 + 340*b**4 + 320*b**3 - 580*b**2 - 104*b = 0.
-13, -2, -1/6, 0, 1
Let 3*c**5/5 + 14*c**4/5 - 43*c**3/5 - 214*c**2/5 - 24*c = 0. Calculate c.
-5, -3, -2/3, 0, 4
Let -x**2 + 315*x - 314 = 0. Calculate x.
1, 314
Find d such that 2*d**3 + 36*d**2 + 10*d - 408 = 0.
-17, -4, 3
Suppose -4*b**5 - 12*b**4/5 + 88*b**3/5 + 48*b**2/5 - 32*b/5 = 0. What is b?
-2, -1, 0, 2/5, 2
Factor 5*i**2 - 725*i + 720.
5*(i - 144)*(i - 1)
Factor -927408*k**4 - 1851480*k**3 + 6669*k**2 - 6*k.
-3*k*(k + 2)*(556*k - 1)**2
Solve 3*n**2 + 138*n + 387 = 0 for n.
-43, -3
Let 2*l**2 - 32*l + 96 = 0. What is l?
4, 12
Suppose -4*o**2 + 40*o - 36 = 0. Calculate o.
1, 9
Let -2*c**2/3 - 76*c/3 - 110 = 0. What is c?
-33, -5
Suppose -2*y**5/3 - 76*y**4/3 - 464*y**3/3 - 956*y**2/3 - 814*y/3 - 248/3 = 0. What is y?
-31, -4, -1
Factor f**4 + 1287*f**3 + 1285*f**2 - 1287*f - 1286.
(f - 1)*(f + 1)**2*(f + 1286)
Solve 3*g**5 + 2121*g**4 + 496998*g**3 + 37920474*g**2 - 158228073*g + 119808477 = 0.
-237, 1, 3
Factor -128*t**3/11 - 254*t**2/11 - 124*t/11 + 2/11.
-2*(t + 1)**2*(64*t - 1)/11
Solve 2*p**4 - 5988*p**3 + 4470026*p**2 + 17952024*p + 17976008 = 0.
-2, 1499
Solve -2*l**4/5 + 156*l**3/5 - 2882*l**2/5 - 1248*l - 640 = 0.
-1, 40
Factor -5*g**2/4 + 35*g - 975/4.
-5*(g - 15)*(g - 13)/4
Factor 5*b**2 - 13960*b + 13955.
5*(b - 2791)*(b - 1)
Factor q**3 + 88*q**2 + 2525*q + 23750.
(q + 25)**2*(q + 38)
Find d such that -3*d**5 - 9*d**4 - 3*d**3 + 9*d**2 + 6*d = 0.
-2, -1, 0, 1
Suppose y**2 - 128*y + 4096 = 0. Calculate y.
64
Factor 4*l**3 - 144*l**2 + 276*l - 136.
4*(l - 34)*(l - 1)**2
Find w such that w**5 - 1804*w**4/7 - 5976*w**3/7 - 7034*w**2/7 - 3391*w/7 - 522/7 = 0.
-1, -2/7, 261
Find r, given that r**5/6 - 5*r**4/3 + 37*r**3/6 - 32*r**2/3 + 26*r/3 - 8/3 = 0.
1, 2, 4
Suppose -p**2/5 - 54*p/5 - 53/5 = 0. Calculate p.
-53, -1
Factor -m**4/4 + 3*m**3/4 - 3*m**2/4 + m/4.
-m*(m - 1)**3/4
Factor -2*d**5/5 - 224*d**4/5 - 6272*d**3/5.
-2*d**3*(d + 56)**2/5
Factor 60*h**4 - 112*h**3 + 44*h**2 + 8*h.
4*h*(h - 1)**2*(15*h + 2)
Let 2*c**2 + 7428*c + 6896898 = 0. Calculate c.
-1857
Suppose 8*u**5/5 - 10*u**4 + 76*u**3/5 + 32*u**2/5 - 84*u/5 + 18/5 = 0. What is u?
-1, 1/4, 1, 3
Suppose -33*m**5/7 - 270*m**4/7 - 246*m**3/7 + 1284*m**2/7 - 585*m/7 - 150/7 = 0. Calculate m.
-5, -2/11, 1
Factor 2*z**3 - 8*z**2 + 8*z.
2*z*(z - 2)**2
Factor 9*w**3 - 186*w**2 - 477*w - 138.
3*(w - 23)*(w + 2)*(3*w + 1)
Factor 2*z**4/7 + 4*z**3/7 - 8*z**2/7 - 4*z/7 + 6/7.
2*(z - 1)**2*(z + 1)*(z + 3)/7
Solve 2*o**4/15 + 12*o**3/5 - 72*o**2/5 + 316*o/15 - 46/5 = 0.
-23, 1, 3
Let -15*j**5/2 - 115*j**4/4 + 175*j**3/2 - 235*j**2/4 + 15*j/2 = 0. What is j?
-6, 0, 1/6, 1
Factor 2*t**4 - 8*t**3 - 22*t**2 - 12*t.
2*t*(t - 6)*(t + 1)**2
Find j such that 9*j**4 + 66*j**3 + 105*j**2 - 12*j - 60 = 0.
-5, -2, -1, 2/3
Let 2*z**3/5 - 14*z**2/5 + 12*z/5 = 0. What is z?
0, 1, 6
Solve 4*w**3/7 + 4*w**2 + 48*w/7 = 0.
-4, -3, 0
Factor 2*v**3/3 - 44*v**2/3 - 1082*v/3 - 1036/3.
2*(v - 37)*(v + 1)*(v + 14)/3
Factor -3*g**2/7 - 9*g/7 + 12/7.
-3*(g - 1)*(g + 4)/7
Suppose -2*w**3 - 14*w**2 + 80*w - 88 = 0. What is w?
-11, 2
Let -4*x**3 - 88*x**2 + 436*x + 520 = 0. Calculate x.
-26, -1, 5
Let 2*l**4/7 + 1182*l**3/7 + 24864*l**2 - 175232*l/7 = 0. What is l?
-296, 0, 1
Factor -2*n**2/3 - 38*n/3 - 12.
-2*(n + 1)*(n + 18)/3
Factor g**4/10 + g**3/10 - g**2/5.
g**2*(g - 1)*(g + 2)/10
What is t in 12*t**3 + 9*t**2 - 27*t + 6 = 0?
-2, 1/4, 1
Solve r**3/2 + 27*r**2/2 + 100*r + 150 = 0.
-15, -10, -2
Solve -147*o**2 + 3150*o - 16875 = 0.
75/7
Factor 5*k**2 - 1105*k + 10550.
5*(k - 211)*(k - 10)
Factor c**4/3 - 4*c**3 + 9*c**2.
c**2*(c - 9)*(c - 3)/3
What is g in -32*g**5/5 + 48*g**4 - 594*g**3/5 + 108*g**2 - 162*g/5 = 0?
0, 3/4, 3
Suppose 4*q**2 - 180*q + 176 = 0. What is q?
1, 44
Let -2*b**5/9 + 4*b**4/9 + 16*b**3/9 + 4*b**2/9 - 14*b/9 - 8/9 = 0. Calculate b.
-1, 1, 4
Solve -3*c**2 - 156*c - 2028 = 0 for c.
-26
Factor 4*z**2 - 248*z.
4*z*(z - 62)
Factor 2*i**2 - 3278*i/7 + 468/7.
2*(i - 234)*(7*i - 1)/7
Suppose 5*s**5 - 65*s**4 - 1690*s**3 + 21970*s**2 + 142805*s - 1856465 = 0. Calculate s.
-13, 13
Factor i**3/3 - 412*i**2/3 + 137*i.
i*(i - 411)*(i - 1)/3
Factor 2*k**2 - 2.
2*(k - 1)*(k + 1)
Factor u**2 - 25*u + 46.
(u - 23)*(u - 2)
Solve -6*b**3 + 15*b**2 + 9*b = 0.
-1/2, 0, 3
Factor -3*u**5 - 12*u**4 - 18*u**3 - 12*u**2 - 3*u.
-3*u*(u + 1)**4
Factor -12*u**3 - 57*u**2 - 36*u.
-3*u*(u + 4)*(4*u + 3)
Factor 3*w**5/5 + 462*w**4/5 + 16356*w**3/5 - 109464*w**2/5 + 45312*w - 30720.
3*(w - 2)**3*(w + 80)**2/5
What is y in 3*y**4 - 15*y**3 - 66*y**2 - 48*y = 0?
-2, -1, 0, 8
Factor -g**4/3 - 8*g**3/3 + g**2 + 26*g/3 + 16/3.
-(g - 2)*(g + 1)**2*(g + 8)/3
Solve -4*m**3 - 132*m**2 + 2052*m - 4860 = 0.
-45, 3, 9
Factor -i**5/4 + i**3 - i**2/2 - 3*i/4 + 1/2.
-(i - 1)**3*(i + 1)*(i + 2)/4
Factor 4*q**4/5 + 48*q**3/5 + 108*q**2/5.
4*q**2*(q + 3)*(q + 9)/5
Factor c**5/8 - c**4/2 - c**3/8 + c**2/2.
c**2*(c - 4)*(c - 1)*(c + 1)/8
Determine r, given that -r**3/2 + 23*r**2/2 - 60*r - 72 = 0.
-1, 12
Factor 21*g**4 - 12*g**3 - 135*g**2 - 54*g.
3*g*(g - 3)*(g + 2)*(7*g + 3)
Suppose 2*u**2/9 + 52*u/9 = 0. What is u?
-26, 0
Find j such that -3*j**3/2 - 25*j**2/2 + 19*j/2 + 9/2 = 0.
-9, -1/3, 1
Let 5*t**3 - 8140*t**2 + 32500*t - 32480 = 0. Calculate t.
2, 1624
Let 15*v**4 - 714*v**3 + 1107*v**2 - 132*v - 276 = 0. Calculate v.
-2/5, 1, 46
Find u such that 2*u**2/5 + 542*u/5 + 108 = 0.
-270, -1
Factor -l**3/7 - 31*l**2/7 + 102*l/7.
-l*(l - 3)*(l + 34)/7
Suppose -5*w**5 + 5*w**4 + 25*w**3 + 15*w**2 = 0. What is w?
-1, 0, 3
Factor -3*o**3/8 + 3*o**2.
-3*o**2*(o - 8)/8
Find y, given that 4*y**2 + 1812*y = 0.
-453, 0
Suppose -2*k**4/13 + 8*k**3/13 - 6*k**2/13 - 8*k/13 + 8/13 = 0. Calculate k.
-1, 1, 2
What is s in -5*s**3 - 180*s**2 - 175*s = 0?
-35, -1, 0
Factor 3*v**4/7 + 12*v**3/7 - 54*v**2/7 - 324*v/7 - 405