
Find d such that -2*d**2 + 128*d - 1656 = 0.
18, 46
Solve 2*t**2/11 + 56*t/11 + 104/11 = 0.
-26, -2
Suppose 2*j**2/9 - 112*j/9 - 610/9 = 0. What is j?
-5, 61
Determine r, given that -r**2 - 6528*r - 10653696 = 0.
-3264
Solve 2*f**2 - 178*f - 552 = 0 for f.
-3, 92
What is d in 2*d**4 + 12*d**3 + 8*d**2 - 48*d - 64 = 0?
-4, -2, 2
Suppose 2*u**4/23 - 2026*u**3/23 + 4046*u**2/23 - 2022*u/23 = 0. What is u?
0, 1, 1011
Suppose 3*x**3/7 + 96*x**2/7 + 183*x/7 + 90/7 = 0. Calculate x.
-30, -1
Determine t, given that 2*t**5/11 + 54*t**4/11 - 124*t**3/11 - 216*t**2/11 + 464*t/11 = 0.
-29, -2, 0, 2
Suppose -2*w**5/3 + 2*w**4 + 8*w**3/3 = 0. Calculate w.
-1, 0, 4
Solve -8*k**5 + 68*k**4 - 84*k**3 - 4*k**2 + 28*k = 0.
-1/2, 0, 1, 7
Factor 6*m**4 + 122*m**3 + 798*m**2 + 1470*m - 1372.
2*(m + 7)**3*(3*m - 2)
Suppose 5*z**3 + 2290*z**2 + 262205*z = 0. Calculate z.
-229, 0
Solve -2*k**4 - 6*k**3 + 38*k**2 + 6*k - 36 = 0 for k.
-6, -1, 1, 3
Factor -26*z**2/7 + 1758*z/7 + 1784/7.
-2*(z + 1)*(13*z - 892)/7
Solve l**2 - 5512*l = 0 for l.
0, 5512
Let o**3/2 - 15*o**2/2 + 75*o/2 - 125/2 = 0. What is o?
5
Factor 2*o**3/9 - 106*o**2/9 - 1210*o/9 - 350.
2*(o - 63)*(o + 5)**2/9
Solve -t**3/2 + t**2 = 0.
0, 2
Find h such that -2*h**3 - 112*h**2 - 938*h - 828 = 0.
-46, -9, -1
Suppose k**4/4 + 2*k**3 + 7*k**2/4 - 18*k - 36 = 0. Calculate k.
-4, -3, 3
Determine b, given that 4*b**2 - 12*b - 16 = 0.
-1, 4
Find n such that 5*n**4 - 150*n**3 + 1265*n**2 - 2100*n + 980 = 0.
1, 14
Suppose -2*f**4/5 + 1516*f**3/5 - 1514*f**2/5 = 0. Calculate f.
0, 1, 757
Solve -25*r**4 + 110*r**3 + 1835*r**2 - 10200*r + 3780 = 0 for r.
-9, 2/5, 6, 7
Solve 30*k**3 - 16*k**2/3 - 134*k/3 - 28/3 = 0 for k.
-1, -2/9, 7/5
Factor -4*l**3 + 372*l**2 + 2776*l + 2400.
-4*(l - 100)*(l + 1)*(l + 6)
What is t in t**2/4 - 19*t/4 + 15 = 0?
4, 15
Let -228*g**3/7 - 237*g**2/7 + 402*g/7 - 72/7 = 0. Calculate g.
-2, 4/19, 3/4
Suppose -12*p**3/7 + 339*p**2/7 + 5676*p/7 - 1440/7 = 0. Calculate p.
-12, 1/4, 40
Factor 162*g**4 - 18*g**3 - 112*g**2 - 32*g.
2*g*(g - 1)*(9*g + 4)**2
Determine o so that -2*o**4/11 + 11320*o**3/11 - 24026700*o**2/11 + 22665187000*o/11 - 8017809901250/11 = 0.
1415
Factor 5*w**4/2 - 65*w**3/2 - 225*w**2.
5*w**2*(w - 18)*(w + 5)/2
Factor -x**3/4 + 5*x**2/2 + 299*x/4.
-x*(x - 23)*(x + 13)/4
Suppose -3*w**4 + 33*w**3 + 3*w**2 - 33*w = 0. Calculate w.
-1, 0, 1, 11
Factor -8*f**3 + 572*f**2 + 1743*f/2 + 657/2.
-(f - 73)*(4*f + 3)**2/2
Suppose -2*f**3/5 - 34*f**2 + 172*f/5 = 0. What is f?
-86, 0, 1
Suppose -3*l**2/7 - 969*l/7 - 2880/7 = 0. Calculate l.
-320, -3
Determine a so that 12*a**3 - 255*a**2 + 303*a - 60 = 0.
1/4, 1, 20
Find l, given that l**5 + 17*l**4 + 87*l**3 + 187*l**2 + 176*l + 60 = 0.
-10, -3, -2, -1
Factor 25*g**4/4 - 155*g**3/2 + 309*g**2 - 450*g + 216.
(g - 6)*(g - 4)*(5*g - 6)**2/4
Factor -t**2/3 - 13*t/3.
-t*(t + 13)/3
Solve 3*d**2/4 - 45*d/2 = 0 for d.
0, 30
Factor -4*h**3 + 40*h**2 - 48*h - 288.
-4*(h - 6)**2*(h + 2)
Solve -15*j**3 + 452*j**2 - 3435*j + 450 = 0.
2/15, 15
Solve -4*g**3/19 + 118*g**2/19 + 184*g/19 + 62/19 = 0 for g.
-1, -1/2, 31
Let 36*h**3/7 + 330*h**2/7 - 1164*h/7 + 720/7 = 0. What is h?
-12, 5/6, 2
Solve 5*h**5/6 + 67*h**4/6 + 281*h**3/6 + 437*h**2/6 + 137*h/3 + 28/3 = 0 for h.
-7, -4, -1, -2/5
Find w, given that 3*w**2 - 81*w - 480 = 0.
-5, 32
Suppose -50*p**4/3 + 580*p**3 + 382*p**2/3 - 376*p + 280/3 = 0. What is p?
-1, 2/5, 35
Factor -3*o**3/5 + 18396*o**2/5 - 37601424*o/5 + 25619103552/5.
-3*(o - 2044)**3/5
Find v, given that 4*v**5 - 20*v**4 + 28*v**3 + 4*v**2 - 32*v + 16 = 0.
-1, 1, 2
Factor 2379*a**2 - 105*a - 6.
3*(13*a - 1)*(61*a + 2)
Factor 163805*m**3 + 160185*m**2 - 3600*m + 20.
5*(m + 1)*(181*m - 2)**2
Determine w, given that 4*w**5 + 64*w**4 - 164*w**3 - 3936*w**2 + 4032*w = 0.
-12, 0, 1, 7
Factor -2*m**5 + 18*m**4 - 30*m**3 - 50*m**2.
-2*m**2*(m - 5)**2*(m + 1)
Determine c so that 2*c**4 + 64*c**3 + 624*c**2 + 1792*c + 1568 = 0.
-14, -2
Determine o, given that -2*o**4/17 + 14*o**3/17 + 42*o**2/17 - 54*o/17 = 0.
-3, 0, 1, 9
Factor 3*y**4/2 + 6*y**3 - 9*y**2/2 - 21*y - 12.
3*(y - 2)*(y + 1)**2*(y + 4)/2
Find q, given that -5*q**4 + 290*q**3 - 3905*q**2 - 8700*q - 4500 = 0.
-1, 30
Let 2*f**3/13 + 142*f**2/13 = 0. What is f?
-71, 0
What is r in -2*r**5/21 + 8*r**4/21 + 10*r**3/21 = 0?
-1, 0, 5
Factor r**4 - 8712*r**3 + 18966022*r**2 + 37958184*r + 18983449.
(r - 4357)**2*(r + 1)**2
Factor 4*v**4 + 16*v**3 + 20*v**2 + 8*v.
4*v*(v + 1)**2*(v + 2)
Suppose 4*v**2 - 8*v - 32 = 0. Calculate v.
-2, 4
Factor q**5/3 + 5*q**4/3 - q**3/3 - 5*q**2/3.
q**2*(q - 1)*(q + 1)*(q + 5)/3
Factor p**2 + 2896*p.
p*(p + 2896)
Determine r so that 2*r**5 + 24*r**4 + 56*r**3 + 12*r**2 - 58*r - 36 = 0.
-9, -2, -1, 1
Factor r**2/2 + 1969*r + 3876961/2.
(r + 1969)**2/2
Factor 2*w**4 - 10*w**3 - 34*w**2 + 42*w.
2*w*(w - 7)*(w - 1)*(w + 3)
Solve 15*k**5 - 55*k**4 + 40*k**3 + 20*k**2 = 0 for k.
-1/3, 0, 2
What is r in -4*r**5/5 - 8*r**4/5 + 76*r**3/5 - 112*r**2/5 + 48*r/5 = 0?
-6, 0, 1, 2
Factor -2*c**3/7 + 4*c**2/7 + 26*c/7 + 20/7.
-2*(c - 5)*(c + 1)*(c + 2)/7
Let -10*p**5 - 6*p**4 + 214*p**3 - 74*p**2 - 204*p + 80 = 0. What is p?
-5, -1, 2/5, 1, 4
What is c in c**3/4 + 5*c**2/4 - 3*c/2 = 0?
-6, 0, 1
Determine w, given that w**2/6 + 79*w/3 + 157/6 = 0.
-157, -1
Factor 6*d**3/11 + 14*d**2/11 + 8*d/11.
2*d*(d + 1)*(3*d + 4)/11
Determine n so that n**2 - 4*n + 4 = 0.
2
Solve -85*u**4 + 2*u**3 + 255*u**2 - 176*u + 4 = 0 for u.
-2, 2/85, 1
Find c, given that -2*c**2 - 28*c = 0.
-14, 0
Suppose d**4 + 436*d**3 + 71286*d**2 + 5180116*d + 141158161 = 0. Calculate d.
-109
Factor -t**2/3 + 50*t - 149/3.
-(t - 149)*(t - 1)/3
Factor 3*j**3/7 - 30*j**2/7 - 72*j/7.
3*j*(j - 12)*(j + 2)/7
Factor 235*j**2 - 1910*j + 240.
5*(j - 8)*(47*j - 6)
Find a, given that 3*a**2 + 27*a - 210 = 0.
-14, 5
Solve -5*n**3 - 5*n**2 + 80*n + 80 = 0.
-4, -1, 4
Suppose -c**5/5 - 2*c**4/5 + 2*c**3/5 + 8*c**2/5 + 7*c/5 + 2/5 = 0. What is c?
-1, 2
Factor -u**4 + 25*u**3 - 141*u**2 - 221*u + 338.
-(u - 13)**2*(u - 1)*(u + 2)
Factor -3*j**3/2 + 25*j**2/2 + 9*j.
-j*(j - 9)*(3*j + 2)/2
Factor 4*z**2/3 - 73*z/3 - 37/6.
(2*z - 37)*(4*z + 1)/6
Factor -2*p**5/9 - 8*p**4 + 308*p**3/9 - 472*p**2/9 + 106*p/3 - 80/9.
-2*(p - 1)**4*(p + 40)/9
Determine x so that -5*x**5 + 195*x**4 - 375*x**3 + 185*x**2 = 0.
0, 1, 37
Determine q, given that -q**5/3 - 3*q**4 - 7*q**3/3 + 3*q**2 + 8*q/3 = 0.
-8, -1, 0, 1
Determine s so that -4*s**4/7 + 108*s**2/7 - 200*s/7 + 96/7 = 0.
-6, 1, 4
What is f in -3*f**5 - 30*f**4 - 108*f**3 - 162*f**2 - 81*f = 0?
-3, -1, 0
Determine x so that x**2 - 17*x - 38 = 0.
-2, 19
Let 3*k**5/2 - 9*k**4 - 9*k**3/2 + 30*k**2 - 18*k = 0. What is k?
-2, 0, 1, 6
Find c such that 27*c**4 - 1728*c**3 + 9393*c**2 + 192*c - 1044 = 0.
-1/3, 1/3, 6, 58
Factor 3*z**4 + 6*z**3 - 3*z**2 - 6*z.
3*z*(z - 1)*(z + 1)*(z + 2)
Determine d, given that -2*d**5/11 + 618*d**4/11 - 48658*d**3/11 + 141678*d**2/11 - 93636*d/11 = 0.
0, 1, 2, 153
Suppose -2*q**3 + 16*q**2 - 40*q + 32 = 0. Calculate q.
2, 4
Determine u so that 2*u**4/3 - 4*u**3/3 - 6*u**2 + 4*u/3 + 16/3 = 0.
-2, -1, 1, 4
What is g in g**4/5 + 114*g**3/5 + 3249*g**2/5 = 0?
-57, 0
Let -2*k**3/19 + 52*k**2/19 - 22*k + 968/19 = 0. What is k?
4, 11
Factor -2*h**3/7 - 130*h**2/7 - 726*h/7 - 1062/7.
-2*(h + 3)**2*(h + 59)/7
Factor 2*m**2/11 + 46*m/11 - 156/11.
2*(m - 3)*(m + 26)/11
Solve -h**5/5 - 2*h**4 + 11*h**3 - 4*h**2 - 84*h/5 = 0.
-14, -1, 0, 2, 3
What is h in 3*h**5 + 9*h**4 - 54*h**3 + 12*h**2 + 72*h = 0?
-6, -1, 0, 2
Factor 3*j**4 - 18*j**3 + 39*j**2 - 36*j + 12.
3*(j - 2)**2*(j - 1)**2
Factor 5*f**2 + 2105*f.
5*f*(f + 421)
Let -r**2/6 - 5*r/6 - 1 = 0. Calculate r.
-3, -2
Factor -2*d**2/11 - 40*d/11 - 38/11.
-2*(d + 1)*(d + 19)/11
Let 3*p**4 - 9*p**2 + 6*p = 0. Calculate p.
-2, 0, 1
Solve 3*d**2 - 12*d + 9 = 0 for d.
1, 3
Solve -75*o**4 - 680*o**3 - 260*o**2 = 0 for o.
-26/3, -2/5, 0
Find l such that 4*l**5 + 178*l**4 + 2154*l**3 - 2278*l**2 - 117334*l + 58956 = 0.
-17, 1/2, 6
Factor 3*m**2 - 930*m + 72075.
3*(m - 155)**2
Let -2*d**4/5 + 18*d**3/5 - 8*d**2 = 0. Calculate d.
0, 4, 5
Let -h**3 + 10*h**2 + h - 10 = 0. Calculate h.
-1, 1, 10
Factor -8*k**4/5 - 2*k**3/5.
-2*k**3*(4*k + 1)/5
Determine y, given that 4*y**3 - 56*y**2 + 52*y = 0.
0, 1, 13
Suppose 2*o**3 + 52*o**2 +