**3 - 32*c**2 - 60*c.
4*c*(c + 1)*(7*c - 15)
Determine l so that -21*l**2/2 + 459*l + 132 = 0.
-2/7, 44
Factor -j**3/2 - 207*j**2/2 + 417*j/2 - 209/2.
-(j - 1)**2*(j + 209)/2
Determine i so that -i**4/8 + 27*i**3/4 - 729*i**2/8 = 0.
0, 27
Factor 2*w**3/11 - 1882*w**2/11 - 1884*w/11.
2*w*(w - 942)*(w + 1)/11
Suppose 3*n**3 - 84*n**2 - 3*n + 84 = 0. Calculate n.
-1, 1, 28
Find r, given that 2*r**4/9 - 6*r**3 - 118*r**2/9 + 6*r + 116/9 = 0.
-2, -1, 1, 29
Factor 2*f**4 - 134*f**3 - 2*f**2 + 134*f.
2*f*(f - 67)*(f - 1)*(f + 1)
Factor 2*s**2/13 - 2*s/13 - 112/13.
2*(s - 8)*(s + 7)/13
Determine l so that 3*l**2/7 - 395*l/7 + 262/7 = 0.
2/3, 131
Factor 2*b**3/9 + 8*b**2/9 - 58*b/9 + 16/3.
2*(b - 3)*(b - 1)*(b + 8)/9
Suppose 3*y**5 + 30*y**4 - 81*y**3 - 912*y**2 + 960*y = 0. Calculate y.
-8, 0, 1, 5
What is u in 2*u**4/7 - 472*u**3/7 + 4980*u**2 - 606232*u/7 - 14866462/7 = 0?
-13, 83
Find r, given that 2*r**3/9 + 2*r**2/3 = 0.
-3, 0
Factor w**3 + 459*w**2 + 52440*w - 52900.
(w - 1)*(w + 230)**2
Determine k so that -2*k**2/19 + 18*k/19 = 0.
0, 9
Factor 12*f**4 + 20*f**3 - 8*f**2.
4*f**2*(f + 2)*(3*f - 1)
Let 3*z**5 - 4*z**4 - 20*z**3 + 46*z**2 - 31*z + 6 = 0. What is z?
-3, 1/3, 1, 2
Find y, given that 35*y**3 - 45*y**2 + 10*y = 0.
0, 2/7, 1
Factor 2*k**2 + 100*k - 3168.
2*(k - 22)*(k + 72)
Factor 18*g**3/7 + 66*g**2/7 + 38*g/7 + 6/7.
2*(g + 3)*(3*g + 1)**2/7
Determine w so that 3*w**3 + 36*w**2 + 117*w + 84 = 0.
-7, -4, -1
Factor -2*b**3 - 196*b**2 - 3690*b + 3888.
-2*(b - 1)*(b + 27)*(b + 72)
Let -s**2/3 + 1825*s/3 + 1826/3 = 0. Calculate s.
-1, 1826
Find r such that -2*r**3 - 204*r**2 - 4992*r + 10816 = 0.
-52, 2
Suppose 2*c**2 - 12*c + 16 = 0. Calculate c.
2, 4
Let 3*x**5 - 2496*x**4 + 516666*x**3 + 1040832*x**2 + 521667*x = 0. Calculate x.
-1, 0, 417
Let -3*i**3 + 6*i**2 + 24*i = 0. Calculate i.
-2, 0, 4
Factor 3*z**3 - 39*z**2 - 615*z - 1725.
3*(z - 23)*(z + 5)**2
Solve -o**2 - 35*o/2 - 17/2 = 0.
-17, -1/2
Factor -v**2 - 14*v - 24.
-(v + 2)*(v + 12)
Determine a, given that 5*a**2/4 - 40*a = 0.
0, 32
Factor -30*v**2 - 3535*v + 590.
-5*(v + 118)*(6*v - 1)
Factor -y**2/4 + 4*y + 20.
-(y - 20)*(y + 4)/4
Solve -2*f**4 - 60*f**3 + 128*f**2 = 0.
-32, 0, 2
What is c in c**5/7 - 19*c**3/7 - 30*c**2/7 = 0?
-3, -2, 0, 5
Suppose 2*r**2/7 + 128*r + 14336 = 0. What is r?
-224
Solve -b**2/4 - 25*b/4 = 0.
-25, 0
Factor -55*y**3 - 100*y**2 + 20*y.
-5*y*(y + 2)*(11*y - 2)
Factor -2*b**4 - 10*b**3 + 14*b**2 + 10*b - 12.
-2*(b - 1)**2*(b + 1)*(b + 6)
Factor -2*h**3/9 + 44*h**2/9 - 50*h/3 + 12.
-2*(h - 18)*(h - 3)*(h - 1)/9
Factor 3*b**3/2 + 66*b**2 - 624*b.
3*b*(b - 8)*(b + 52)/2
Suppose 2*c**3 - 2*c**2 - 1922*c + 1922 = 0. Calculate c.
-31, 1, 31
Factor 6*l**4 - 18*l**3 + 27*l**2/2 - 3*l.
3*l*(l - 2)*(2*l - 1)**2/2
Suppose -10*g**4 + 66*g**3 - 32*g**2 - 24*g = 0. Calculate g.
-2/5, 0, 1, 6
What is l in 2*l**3/5 - 2*l**2 + 6*l/5 + 18/5 = 0?
-1, 3
Determine o so that 2*o**3 - 52*o**2 + 338*o = 0.
0, 13
Let -4*w**3/3 + 32*w**2 - 84*w = 0. Calculate w.
0, 3, 21
What is d in 2*d**2/3 + 34*d/3 + 32/3 = 0?
-16, -1
Factor -f**4 - 8*f**3 - 2*f**2 + 32*f - 21.
-(f - 1)**2*(f + 3)*(f + 7)
Suppose -4*f**2 + 24*f - 20 = 0. Calculate f.
1, 5
Factor -5*k**2 - 365*k + 750.
-5*(k - 2)*(k + 75)
Factor 192*p**4 - 528*p**3 - 1845*p**2 - 1500*p - 375.
3*(p - 5)*(p + 1)*(8*p + 5)**2
Solve -2*l**3/3 - 20*l**2/3 - 34*l/3 + 56/3 = 0.
-7, -4, 1
Suppose 46818*p**3/13 + 141678*p**2/13 + 3680*p/13 + 24/13 = 0. Calculate p.
-3, -2/153
Solve -y**3/5 + 128*y**2 - 2548*y/5 + 2544/5 = 0.
2, 636
Let -5*h**2 - 80*h - 240 = 0. Calculate h.
-12, -4
Find i, given that 2*i**5/13 - 12*i**4/13 - 28*i**3/13 + 96*i**2/13 + 2*i - 84/13 = 0.
-3, -1, 1, 2, 7
Solve p**3 - 132*p**2 - 135*p + 266 = 0.
-2, 1, 133
Factor -q**3/6 + 11*q**2/3 + 333*q/2 - 3888.
-(q - 27)**2*(q + 32)/6
Find n, given that 9*n**3 + 152*n**2 + 845*n + 1550 = 0.
-62/9, -5
Determine o, given that 5*o**4 - 60*o**3 - 135*o**2 + 2430*o = 0.
-6, 0, 9
Solve z**5 + 12*z**4 + 33*z**3 - 34*z**2 - 84*z + 72 = 0.
-6, -2, 1
Suppose -h**3/7 - 13*h**2/7 + 221*h/7 - 207/7 = 0. What is h?
-23, 1, 9
Factor 3*g**4 - 109*g**3 - 189*g**2 - 39*g + 38.
(g - 38)*(g + 1)**2*(3*g - 1)
Factor 2*x**3/7 - 2746*x**2/7 - 2748*x/7.
2*x*(x - 1374)*(x + 1)/7
Solve 2*l**3/7 + 78*l**2/7 + 288*l/7 + 40 = 0.
-35, -2
Factor -2*i**4/23 + 724*i**3/23 - 64794*i**2/23 - 131768*i/23 - 66248/23.
-2*(i - 182)**2*(i + 1)**2/23
Factor -t**2/4 + 17*t.
-t*(t - 68)/4
Find i such that -i**2/2 + 11*i/2 + 13 = 0.
-2, 13
Find q such that 3*q**5/2 - 21*q**4/2 + 33*q**3/2 + 57*q**2/2 - 90*q + 54 = 0.
-2, 1, 2, 3
Factor -2*l**2 + 680*l - 57800.
-2*(l - 170)**2
Find w, given that 3*w**4 - 3*w**3 - 9*w**2 + 3*w + 6 = 0.
-1, 1, 2
What is l in 3*l**5 - 9*l**4 - 84*l**3 + 180*l**2 = 0?
-5, 0, 2, 6
Factor 4*f**3 - 8*f**2 - 192*f.
4*f*(f - 8)*(f + 6)
Solve -2*w**4/17 + 114*w**3/17 - 104*w**2/17 - 456*w/17 + 448/17 = 0 for w.
-2, 1, 2, 56
Factor -2*c**3/5 - 94*c**2/5 - 1056*c/5 + 1152/5.
-2*(c - 1)*(c + 24)**2/5
Factor -2*v**5/5 - 4*v**4/5 + 4*v**2/5 + 2*v/5.
-2*v*(v - 1)*(v + 1)**3/5
Factor -i**2/8 - 5*i + 21/2.
-(i - 2)*(i + 42)/8
Determine z so that 3*z**3 - 405*z**2 + 13869*z - 13467 = 0.
1, 67
Factor 4*s**2 + 8*s - 140.
4*(s - 5)*(s + 7)
Solve 40*n**3 - 2084*n**2 + 27248*n - 2704 = 0.
1/10, 26
Factor -x**5 - 7*x**4 + 3*x**3 + 55*x**2 - 50*x.
-x*(x - 2)*(x - 1)*(x + 5)**2
Factor 2*q**3/17 - 426*q**2/17 + 30246*q/17 - 715822/17.
2*(q - 71)**3/17
Find a such that -324*a**5/5 - 26064*a**4/5 - 598948*a**3/5 - 2923688*a**2/5 - 1211824*a/5 - 131424/5 = 0.
-37, -6, -2/9
Solve -v**2 - 730*v - 729 = 0.
-729, -1
Factor 26*c**3 + 2674*c**2 + 2240*c - 408.
2*(c + 1)*(c + 102)*(13*c - 2)
What is x in 5*x**2 - 22430*x + 25155245 = 0?
2243
Factor -4*v**4 + 304*v**3 + 620*v**2 + 312*v.
-4*v*(v - 78)*(v + 1)**2
Factor 2*f**3 + 8502*f**2 + 9039750*f + 9031250.
2*(f + 1)*(f + 2125)**2
Let -u**5/2 - 5*u**4/6 + u**3/6 + 5*u**2/6 + u/3 = 0. Calculate u.
-1, -2/3, 0, 1
Let -2*n**2/13 + 16760*n/13 - 35112200/13 = 0. What is n?
4190
Factor i**2/4 - 553*i/2.
i*(i - 1106)/4
Solve 2*k**3 - 370*k**2 + 18000*k - 81000 = 0.
5, 90
Factor -4*s**4/3 - 428*s**3/3 - 420*s**2 - 1252*s/3 - 416/3.
-4*(s + 1)**3*(s + 104)/3
Factor -2*a**3/19 - 90*a**2/19 - 88*a/19.
-2*a*(a + 1)*(a + 44)/19
Factor 2*l**4 + 12*l**3 - 16*l**2 - 12*l + 14.
2*(l - 1)**2*(l + 1)*(l + 7)
What is j in j**3/5 - j**2 + 7*j/5 - 3/5 = 0?
1, 3
Factor -4*l**3/5 + 228*l/5 + 224/5.
-4*(l - 8)*(l + 1)*(l + 7)/5
Let -2*o**2/15 - 8*o/15 + 2/3 = 0. Calculate o.
-5, 1
Factor 4*m**4 + 10*m**3/3 - 2*m**2/3.
2*m**2*(m + 1)*(6*m - 1)/3
Factor -v**5 + 16*v**3 + 38*v**2 + 33*v + 10.
-(v - 5)*(v + 1)**3*(v + 2)
Factor 4*b**2 + 12816*b + 10265616.
4*(b + 1602)**2
Let 8*l**3/5 + 128*l**2/5 + 66*l + 234/5 = 0. What is l?
-13, -3/2
What is g in g**4 + 3*g**3 - 36*g**2 + 32*g = 0?
-8, 0, 1, 4
What is b in 5*b**5 - 330*b**4 + 6070*b**3 - 20780*b**2 + 24645*b - 9610 = 0?
1, 2, 31
Solve 3*o**2/7 + 63*o + 420 = 0.
-140, -7
Determine j, given that j**3/4 - 2*j**2 + 7*j/4 = 0.
0, 1, 7
What is q in -5*q**5/2 + 549*q**4/2 - 9935*q**3 + 114367*q**2 + 299811*q/2 + 50653/2 = 0?
-1, -1/5, 37
Factor -b**5/7 - 25*b**4/7 + 116*b**3/7.
-b**3*(b - 4)*(b + 29)/7
Let -2*y**4 + 522*y**3/7 + 930*y**2/7 + 34*y - 156/7 = 0. What is y?
-1, 2/7, 39
Factor -3*r**4/5 - 3*r**3/5 + 6*r**2/5.
-3*r**2*(r - 1)*(r + 2)/5
Suppose 3*c**3 - 21*c**2 - 12*c + 84 = 0. What is c?
-2, 2, 7
Find q such that 2*q**4 - 62*q**3 - 206*q**2 + 62*q + 204 = 0.
-3, -1, 1, 34
What is h in -h**2 - 12*h - 27 = 0?
-9, -3
Determine m, given that 5*m**5 + 45*m**4 - 175*m**3 + 75*m**2 + 170*m - 120 = 0.
-12, -1, 1, 2
What is i in -i**4 + 13*i**3 + 20*i**2 - 84*i = 0?
-3, 0, 2, 14
Factor -6*n**3 + 159*n**2.
-3*n**2*(2*n - 53)
Suppose -2*u**3/3 + 1180*u**2/21 + 122*u/3 - 340/21 = 0. Calculate u.
-1, 2/7, 85
Find u such that -1620*u**4 - 4680*u**3 - 2705*u**2 + 345*u - 10 = 0.
-2, -1, 1/18
Find y, given that 5*y**2 + 3515*y + 3510 = 0.
-702, -1
Factor -x**4 + x**3 + 5*x**2 + 3*x.
-x*(x - 3)*(x + 1)**2
Find b such that -4*b**4 - 36*b**3 + 12*b**2 + 100*b - 72 = 0.
-9, -2, 1
Factor -z**4 + 20*z**3 - 51*z**2 - 504*z - 432.
-(z - 12)**2*(z + 1)*(z + 3)
Suppose -2*m**2 + 8*m + 10 = 0. What is m?
-1, 5
Solve 4*g**4 - 12*g**3 - 212*g**2 + 444*g - 224 