(c - 12)*(15*c - 2)/11
Factor 3*y**2 + 450*y - 453.
3*(y - 1)*(y + 151)
Solve -2*u**3 - 20*u**2 + 46*u - 24 = 0.
-12, 1
Determine k so that -k**5 - 2*k**4 + 3*k**3 + 8*k**2 + 4*k = 0.
-2, -1, 0, 2
Determine g so that 30*g**4/7 - 93*g**3/7 - 471*g**2/7 - 312*g/7 + 36/7 = 0.
-2, -1, 1/10, 6
Solve -375*w**4 - 690*w**3 - 1287*w**2/5 + 276*w/5 - 12/5 = 0 for w.
-1, 2/25
Factor -b**2 + 8*b + 9.
-(b - 9)*(b + 1)
Find n such that 11*n**5/6 + 4*n**4 - 20*n**3/3 - 16*n**2 - 8*n/3 = 0.
-2, -2/11, 0, 2
Determine k, given that -33*k**5/2 - 93*k**4/2 + 513*k**3/2 - 651*k**2/2 + 150*k - 18 = 0.
-6, 2/11, 1
Factor 3*l**4/2 + 63*l**3/2 - 135*l**2/2 + 69*l/2.
3*l*(l - 1)**2*(l + 23)/2
Factor 5*p**4 + 25*p**3 - 40*p**2 - 60*p.
5*p*(p - 2)*(p + 1)*(p + 6)
Let 9*v**5 - 1185*v**4 + 39978*v**3 - 63762*v**2 + 12285*v + 12675 = 0. Calculate v.
-1/3, 1, 65
Suppose -17*y**3/3 - 41*y**2/3 - 8*y = 0. What is y?
-24/17, -1, 0
Factor q**2/2 - 46*q - 93/2.
(q - 93)*(q + 1)/2
Factor 814*a**3/13 - 810*a**2/13 - 4*a/13.
2*a*(a - 1)*(407*a + 2)/13
Let 2*l**4/5 - 18*l**3/5 - 6*l**2 + 106*l/5 - 12 = 0. Calculate l.
-3, 1, 10
Determine f so that -2*f**2/5 - 4*f - 32/5 = 0.
-8, -2
Determine u so that 2*u**2/5 - 246*u + 1220 = 0.
5, 610
What is s in 2*s**3/11 + 10*s**2/11 + 12*s/11 = 0?
-3, -2, 0
What is u in -350*u**4/11 - 8560*u**3/11 - 3734*u**2/11 + 2532*u/11 - 288/11 = 0?
-24, -6/7, 1/5
Factor -o**4 + 6*o**3 + 7*o**2 - 96*o + 144.
-(o - 4)*(o - 3)**2*(o + 4)
Factor 2*m**3/3 - 70*m**2/3 - 416*m.
2*m*(m - 48)*(m + 13)/3
Factor 2*c**2 - 13352*c + 22284488.
2*(c - 3338)**2
Factor 2*t**5/3 + 6*t**4 - 44*t**3/3.
2*t**3*(t - 2)*(t + 11)/3
Factor 4*h**3 + 600*h**2 + 1188*h + 592.
4*(h + 1)**2*(h + 148)
What is d in -d**2 + 4950*d - 6125625 = 0?
2475
Factor o**5/2 - 86*o**4 + 5547*o**3 - 159014*o**2 + 3418801*o/2.
o*(o - 43)**4/2
Factor -v**3/7 + 276*v**2/7 - 25392*v/7 + 778688/7.
-(v - 92)**3/7
What is v in -5*v**5 - 2237*v**4 - 5349*v**3 - 4007*v**2 - 890*v = 0?
-445, -1, -2/5, 0
Find l, given that -2*l**5/15 + 2*l**4/3 + 16*l**3/5 + 8*l**2/15 - 64*l/15 = 0.
-2, 0, 1, 8
Factor -3*h**2 - 2004*h - 334668.
-3*(h + 334)**2
Solve -2*j**2 - 164*j - 3312 = 0.
-46, -36
Factor x**3/2 - 38*x**2 - 328*x - 672.
(x - 84)*(x + 4)**2/2
Suppose -2*h**3/5 - 22*h**2/5 - 4*h = 0. Calculate h.
-10, -1, 0
Factor 5*t**3 + 915*t**2 - 920*t.
5*t*(t - 1)*(t + 184)
Find r, given that 2*r**2/7 - 20*r/7 - 78/7 = 0.
-3, 13
What is w in -w**2 + 64*w = 0?
0, 64
Factor -k**2 + 36*k.
-k*(k - 36)
Factor 5*d**3/4 + 5*d**2 - 5*d/4 - 5.
5*(d - 1)*(d + 1)*(d + 4)/4
Let 3*r**3/5 + 6*r**2 + 93*r/5 + 18 = 0. What is r?
-5, -3, -2
Factor -2*b**2/17 + 44*b/17 + 150/17.
-2*(b - 25)*(b + 3)/17
Factor -l**2/5 - 158*l - 789/5.
-(l + 1)*(l + 789)/5
Factor 2*b**3 - 14*b**2/5 - 196*b/5 + 16.
2*(b - 5)*(b + 4)*(5*b - 2)/5
What is i in -i**5/4 - 31*i**4/4 - 169*i**3/2 - 365*i**2 - 450*i = 0?
-10, -9, -2, 0
Determine m so that 6*m**3 + 46*m**2 - 520*m + 168 = 0.
-14, 1/3, 6
Factor 2*k**4 - 8378*k**3 - 8380*k**2.
2*k**2*(k - 4190)*(k + 1)
Let 5*r**5 - 15*r**4 - 20*r**3 = 0. Calculate r.
-1, 0, 4
Let n**4 + 6*n**3 - 3*n**2 - 20*n - 12 = 0. Calculate n.
-6, -1, 2
Factor -4*y**3 + 12*y**2 + 16*y - 48.
-4*(y - 3)*(y - 2)*(y + 2)
Factor 3*t**2 - 1854*t + 286443.
3*(t - 309)**2
Solve -4*r**3 + 16*r**2 + 212*r - 672 = 0.
-7, 3, 8
Factor -4*x**4 + 68*x**3 + 92*x**2 - 372*x + 216.
-4*(x - 18)*(x - 1)**2*(x + 3)
Determine y, given that -3*y**4/5 - 9*y**3/5 - 3*y**2/5 + 9*y/5 + 6/5 = 0.
-2, -1, 1
Solve -21*z**2/2 - 255*z/2 - 18 = 0 for z.
-12, -1/7
Factor -h**2/5 + 57*h + 1746/5.
-(h - 291)*(h + 6)/5
Factor -3*s**3 + 288*s**2 + 585*s + 294.
-3*(s - 98)*(s + 1)**2
Factor -m**2/8 + 1541*m/8 + 1543/4.
-(m - 1543)*(m + 2)/8
Factor t**5 + 12*t**4 + 20*t**3 - 2*t**2 - 21*t - 10.
(t - 1)*(t + 1)**3*(t + 10)
Factor -5*x**2 - 395*x - 1500.
-5*(x + 4)*(x + 75)
Factor -2*z**2 + 82*z - 476.
-2*(z - 34)*(z - 7)
Solve 2*x**4/9 + 2*x**3/3 - 2*x**2/9 - 2*x/3 = 0 for x.
-3, -1, 0, 1
Factor 206*j**4/9 + 4*j**3/9.
2*j**3*(103*j + 2)/9
Suppose -r**4/5 + 3*r**3/5 - r**2/5 - 3*r/5 + 2/5 = 0. Calculate r.
-1, 1, 2
Let 3*m**2 + 15582*m + 20233227 = 0. What is m?
-2597
Factor -4*b**4 + 28*b**3 - 56*b**2 + 32*b.
-4*b*(b - 4)*(b - 2)*(b - 1)
Factor a**4/3 - 121*a**2 + 722*a/3 - 120.
(a - 18)*(a - 1)**2*(a + 20)/3
Factor -3*m**3/7 - 201*m**2/7 - 2553*m/7 + 4107.
-3*(m - 7)*(m + 37)**2/7
What is z in -14*z**4 + 830*z**3 - 6172*z**2 + 13120*z - 3264 = 0?
2/7, 4, 51
Factor -2*d**4 + 1328*d**3 - 219116*d**2 - 442224*d - 221778.
-2*(d - 333)**2*(d + 1)**2
Determine t, given that t**5/3 + 2*t**4 - 20*t**3/3 - 10*t**2 + 19*t/3 + 8 = 0.
-8, -1, 1, 3
Factor -3*i**3/5 - 222*i**2/5 + 453*i/5 - 228/5.
-3*(i - 1)**2*(i + 76)/5
Suppose 2*u**2 + 222*u - 224 = 0. Calculate u.
-112, 1
Determine q, given that -5*q**3/3 + 175*q**2/3 - 635*q/3 + 155 = 0.
1, 3, 31
Factor 5*l**2 - 90*l + 160.
5*(l - 16)*(l - 2)
Find a such that -3*a**5/4 - 9*a**4/2 + 9*a**3/4 + 15*a**2 + 9*a = 0.
-6, -1, 0, 2
Factor o**4/5 - 16*o**3/5 + 78*o**2/5 - 112*o/5 + 49/5.
(o - 7)**2*(o - 1)**2/5
Determine f, given that -245*f**3 - 455*f**2 - 255*f - 45 = 0.
-1, -3/7
Suppose 3*z**5 - 321*z**4 + 9048*z**3 - 24336*z**2 = 0. Calculate z.
0, 3, 52
Factor 4*r**3 - 508*r**2 + 16380*r - 15876.
4*(r - 63)**2*(r - 1)
Suppose x**2/6 - 1315*x/2 = 0. Calculate x.
0, 3945
Find w, given that -4*w**4 - 140*w**3 - 1764*w**2 - 9604*w - 19208 = 0.
-14, -7
What is x in -2*x**3/3 - 128*x**2/3 - 2048*x/3 = 0?
-32, 0
Suppose 2*c**2/19 + 156*c/19 - 320/19 = 0. Calculate c.
-80, 2
Find o such that -o**2/3 + 182*o/3 - 8281/3 = 0.
91
Determine i so that -10*i**2 - 259*i + 26 = 0.
-26, 1/10
Solve -2*r**4 + 124*r**3 + 262*r**2 - 384*r = 0.
-3, 0, 1, 64
Factor 25*p**4/3 + 860*p**3/3 + 2162*p**2 - 15652*p/3 + 8281/3.
(p - 1)**2*(5*p + 91)**2/3
Let -13*a**2/7 + 80*a - 43/7 = 0. What is a?
1/13, 43
Solve m**2/2 - 43*m/2 - 630 = 0.
-20, 63
Solve 4*r**3 + 77*r**2 + 158*r + 85 = 0 for r.
-17, -5/4, -1
What is d in 4*d**2 + 84*d = 0?
-21, 0
Suppose -2*y**5/5 + 2*y**4 + 4*y**3/5 - 4*y**2 - 2*y/5 + 2 = 0. Calculate y.
-1, 1, 5
Solve -3*z**3/2 - 22095*z**2/2 - 54243225*z/2 - 44389039125/2 = 0 for z.
-2455
Factor 5*i**4 - 550*i**3 + 545*i**2.
5*i**2*(i - 109)*(i - 1)
Factor -3*z**2 - 2007*z - 2004.
-3*(z + 1)*(z + 668)
What is k in 10*k**5/7 - 16*k**4/7 - 278*k**3/7 + 972*k**2/7 - 648*k/7 - 432/7 = 0?
-6, -2/5, 2, 3
Find l such that -8*l**3/7 + 90*l**2/7 + 186*l/7 - 52/7 = 0.
-2, 1/4, 13
Factor -4*h**2 + 2056*h - 264196.
-4*(h - 257)**2
Determine n, given that 2*n**2/5 - 14*n/5 = 0.
0, 7
Find u such that 2*u**5/3 - 16*u**4/3 + 12*u**3 - 8*u**2/3 - 38*u/3 + 8 = 0.
-1, 1, 3, 4
Find i, given that 92*i**5/7 + 540*i**4/7 + 976*i**3/7 + 528*i**2/7 = 0.
-66/23, -2, -1, 0
Determine d, given that -5*d**5 - 55*d**4 - 165*d**3 - 65*d**2 + 170*d + 120 = 0.
-6, -4, -1, 1
Factor -4*f**3 - 80*f**2.
-4*f**2*(f + 20)
Solve d**2/8 + 7*d/8 = 0.
-7, 0
Determine x, given that -22*x**5/3 - 270*x**4 - 8498*x**3/3 - 18998*x**2/3 - 2992*x + 2312/3 = 0.
-17, -2, -1, 2/11
Factor -5*q**4 - 135*q**3 - 840*q**2 + 980*q.
-5*q*(q - 1)*(q + 14)**2
Factor 2*z**3 + 100*z**2 - 114*z - 612.
2*(z - 3)*(z + 2)*(z + 51)
Determine q, given that 2*q**4 - 114*q**3 - 354*q**2 - 358*q - 120 = 0.
-1, 60
Suppose 5*j**2/6 - 55*j/3 = 0. Calculate j.
0, 22
Factor w**3/9 + 130*w**2/9 - 533*w/9 + 134/3.
(w - 3)*(w - 1)*(w + 134)/9
Determine a, given that -5*a**3 - 370*a**2 = 0.
-74, 0
Factor -2*d**5/13 - 200*d**4/13 + 820*d**3/13 - 1240*d**2/13 + 830*d/13 - 16.
-2*(d - 1)**4*(d + 104)/13
Solve -3*f**5/2 + 39*f**4/2 - 105*f**3/2 - 255*f**2/2 + 324*f + 378 = 0 for f.
-2, -1, 3, 6, 7
Let -2*i**4/7 - 80*i**3/7 + 82*i**2/7 = 0. What is i?
-41, 0, 1
Let 22*g**3/19 + 16*g**2/19 - 50*g/19 + 12/19 = 0. Calculate g.
-2, 3/11, 1
Solve h**4 + 21*h**3 - 163*h**2 - 21*h + 162 = 0.
-27, -1, 1, 6
Factor -2*f**5/9 + 10*f**4/9 - 2*f**3/3 - 2*f**2.
-2*f**2*(f - 3)**2*(f + 1)/9
Factor -4*x**4 - 28*x**3 - 68*x**2 - 68*x - 24.
-4*(x + 1)**2*(x + 2)*(x + 3)
Factor -5*l**2 + 40*l + 640.
-5*(l - 16)*(l + 8)
Factor -i**4/4 + 13*i**3/4 + 15*i**2/4 - 13*i/4 - 7/2.
-(i - 14)*(i - 1)*(i + 1)**2/4
Determine z so that -4*z**2 + 156*z - 1232 = 0.
11, 28
Determine z, given that -2*z**5 - 12*z**4 + 32*z**3 + 108*z**2 - 126*z = 0.
-7, -3, 0, 1,