-(d - 21)**2*(d - 1)*(3*d + 2)
Suppose 2*f**2/3 + 220*f/3 + 144 = 0. Calculate f.
-108, -2
What is o in -5*o**5 + 170*o**4 - 780*o**3 - 9160*o**2 - 21440*o - 15360 = 0?
-2, 16, 24
Suppose a**4/2 + a**3 - 21*a**2/2 + 9*a = 0. Calculate a.
-6, 0, 1, 3
Solve -c**3/8 + 57*c**2/8 + 45*c/2 = 0 for c.
-3, 0, 60
Factor 4*x**5 + 24*x**4 + 44*x**3 + 24*x**2.
4*x**2*(x + 1)*(x + 2)*(x + 3)
Suppose 2*g**4 + 306*g**3/5 - 30*g**2 - 818*g/5 - 372/5 = 0. What is g?
-31, -1, -3/5, 2
Let i**4/7 - 110*i**3/7 - 223*i**2/7 - 16*i = 0. What is i?
-1, 0, 112
Factor -5*w**3 - 675*w**2 - 1335*w - 665.
-5*(w + 1)**2*(w + 133)
Factor 4*s**2 + 2344*s + 343396.
4*(s + 293)**2
Determine o, given that -5*o**3 + 125*o**2 - 715*o - 845 = 0.
-1, 13
Let k**3/3 - 29*k**2/3 + 49*k - 69 = 0. Calculate k.
3, 23
Suppose 2*k**4/3 - 16*k**3/3 + 22*k**2/3 + 64*k/3 - 40 = 0. What is k?
-2, 2, 3, 5
Let -o**5 + 8*o**4 - 18*o**3 + 4*o**2 + 19*o - 12 = 0. Calculate o.
-1, 1, 3, 4
Factor -2*n**3 + 12*n**2 + 2*n - 60.
-2*(n - 5)*(n - 3)*(n + 2)
Factor c**3/2 - 19*c**2/2 + 9*c.
c*(c - 18)*(c - 1)/2
Factor 22*v**3/5 - 84*v**2/5 - 16*v/5.
2*v*(v - 4)*(11*v + 2)/5
Factor 2*f**3 - 8*f**2 - 82*f - 72.
2*(f - 9)*(f + 1)*(f + 4)
Find i, given that i**3/3 + 2*i**2 + 8*i/3 = 0.
-4, -2, 0
Factor 2*j**2/7 + 56*j + 2744.
2*(j + 98)**2/7
Suppose m**5 + 22*m**4 + 20*m**3 - 22*m**2 - 21*m = 0. Calculate m.
-21, -1, 0, 1
Factor 2*t**2/11 - 114*t/11.
2*t*(t - 57)/11
Factor -4*p**2/5 + 4*p/5 + 8/5.
-4*(p - 2)*(p + 1)/5
Factor 2*i**3/11 - 1890*i**2/11 + 3772*i/11.
2*i*(i - 943)*(i - 2)/11
Find a such that 5*a**4 + 20*a**3 + 30*a**2 + 20*a + 5 = 0.
-1
Solve w**3/10 + 33*w**2/10 - w/10 - 33/10 = 0.
-33, -1, 1
Factor -k**2 + 12*k - 35.
-(k - 7)*(k - 5)
Factor -2*b**2/11 + 108*b/11 - 1458/11.
-2*(b - 27)**2/11
Factor -43*d**2 + 33*d + 10.
-(d - 1)*(43*d + 10)
Suppose 2*x**5/3 + 1172*x**4/3 + 258128*x**3/3 + 25408672*x**2/3 + 958537888*x/3 + 1817487424/3 = 0. Calculate x.
-146, -2
Let 2*k**4 + 4*k**3 - 56*k**2 + 92*k - 42 = 0. Calculate k.
-7, 1, 3
Suppose 5*j**2/3 - 16060*j + 38688540 = 0. Calculate j.
4818
Solve 5*b**3 - 15*b**2 - 165*b + 175 = 0.
-5, 1, 7
Factor 5*l**2 + 15*l - 90.
5*(l - 3)*(l + 6)
Suppose 2*c**3/7 + 16*c**2/7 + 2*c/7 - 12 = 0. Calculate c.
-7, -3, 2
Find o such that 12*o**5 - 16*o**4 + 4*o**3 = 0.
0, 1/3, 1
Factor z**4/11 + 49*z**3/11 + 48*z**2/11.
z**2*(z + 1)*(z + 48)/11
Factor -4*g**2 + 464*g - 460.
-4*(g - 115)*(g - 1)
What is r in -35*r**4 - 185*r**3 - 190*r**2 - 40*r = 0?
-4, -1, -2/7, 0
Factor -j**4 + 6*j**3 - 13*j**2 + 12*j - 4.
-(j - 2)**2*(j - 1)**2
Suppose -824*y**3 - 444*y**2 + 396*y + 16 = 0. Calculate y.
-1, -4/103, 1/2
Factor 5*o**2/3 + 100*o/3 + 95/3.
5*(o + 1)*(o + 19)/3
Solve 4*m**4 + 172*m**3 + 2144*m**2 + 7280*m - 9600 = 0.
-24, -10, 1
Factor -2*t**3/7 + 10*t**2/7 + 2*t/7 - 10/7.
-2*(t - 5)*(t - 1)*(t + 1)/7
Factor -4*u**2 - 24*u + 64.
-4*(u - 2)*(u + 8)
Factor -42*m**3 + 79*m**2 + 12*m - 4.
-(m - 2)*(6*m - 1)*(7*m + 2)
Factor -2*y**2/3 - 2968*y/3 + 990.
-2*(y - 1)*(y + 1485)/3
Let 4*y**4 - 8*y**3 - 16*y**2 + 8*y + 12 = 0. Calculate y.
-1, 1, 3
Let -5*i**2 - 510*i - 13005 = 0. What is i?
-51
Factor 5*r**5 + 265*r**4 + 4830*r**3 + 32470*r**2 + 36125*r - 73695.
5*(r - 1)*(r + 3)*(r + 17)**3
Factor -2*r**5/13 - 8*r**4/13 - 8*r**3/13.
-2*r**3*(r + 2)**2/13
What is w in 39*w**4 + 203*w**3/2 - 201*w**2 + 133*w/2 - 6 = 0?
-4, 1/6, 3/13, 1
Solve -81*j**3 - 1602*j**2 - 7921*j = 0.
-89/9, 0
Let -2*b**5/9 - 2132*b**4/9 - 555266*b**3/9 + 6869144*b**2/9 - 27752032*b/9 + 37186688/9 = 0. What is b?
-539, 4
Suppose 5*t**2 + 75*t + 130 = 0. What is t?
-13, -2
Solve 96*k**3 - 4*k**2 - 96*k + 4 = 0.
-1, 1/24, 1
Factor -2*x**3 + 28*x**2 - 26*x.
-2*x*(x - 13)*(x - 1)
Determine t so that 100*t**3 - 640*t**2 - 3276*t - 3240 = 0.
-9/5, 10
Factor 2*d**3/9 + 170*d**2/9 + 958*d/9 + 790/9.
2*(d + 1)*(d + 5)*(d + 79)/9
Factor 5*t**2/2 + 55*t/2 - 65.
5*(t - 2)*(t + 13)/2
Factor -z**3/5 - 4*z**2/5 - z/5 + 6/5.
-(z - 1)*(z + 2)*(z + 3)/5
Find t such that 36*t**3 + 8988*t**2 + 5980*t + 996 = 0.
-249, -1/3
Factor j**4/2 + 16*j**3 + 159*j**2/2 - 1026*j - 3402.
(j - 7)*(j + 3)*(j + 18)**2/2
Let -a**4/3 + 17*a**3/3 - 29*a**2/3 - 197*a/3 + 70 = 0. What is a?
-3, 1, 5, 14
Solve -3*d**2 - 240*d + 492 = 0 for d.
-82, 2
Factor 2*q**3/9 + 184*q**2/3 + 4042*q - 26508.
2*(q - 6)*(q + 141)**2/9
Suppose 2*g**2/11 + 278*g/11 + 6848/11 = 0. Calculate g.
-107, -32
Factor -4*b**4 - 8*b**3 + 12*b**2 + 16*b - 16.
-4*(b - 1)**2*(b + 2)**2
Factor 4*c**5 + 32*c**4 + 60*c**3 - 16*c**2 - 80*c.
4*c*(c - 1)*(c + 2)**2*(c + 5)
What is t in -t**4 + 8*t**3 - 6*t**2 - 8*t + 7 = 0?
-1, 1, 7
Solve -5*g**3/3 - 795*g**2 - 126405*g - 6699465 = 0.
-159
Find o, given that 2*o**4 + 8*o**3 + 10*o**2 + 4*o = 0.
-2, -1, 0
Suppose -2*v**3/13 + 16*v**2/13 - 2*v + 12/13 = 0. Calculate v.
1, 6
Factor 2*x**2/5 - 16*x/5 + 14/5.
2*(x - 7)*(x - 1)/5
Solve 47524*v**3 + 331796*v**2 - 6100*v + 28 = 0.
-7, 1/109
Factor -5*o**2 + 70*o - 245.
-5*(o - 7)**2
Determine l so that 5*l**4/3 + 5*l**3/3 - 5*l**2/3 - 5*l/3 = 0.
-1, 0, 1
Factor 2*k**2/19 - 1168*k/19 + 170528/19.
2*(k - 292)**2/19
Let 12*f**2 + 993*f + 738 = 0. Calculate f.
-82, -3/4
Factor 2*c**3 + 332*c**2 + 1296*c.
2*c*(c + 4)*(c + 162)
Factor c**3/3 + 20*c**2/3 + 12*c.
c*(c + 2)*(c + 18)/3
What is t in -3*t**4/2 + 21*t**3/2 - 9*t**2 - 42*t + 60 = 0?
-2, 2, 5
Determine m, given that -15*m**3 - 12531*m**2 + 20100*m + 10044 = 0.
-837, -2/5, 2
Solve -18*b**5 - 150*b**4 + 3526*b**3 - 2298*b**2 + 380*b = 0 for b.
-19, 0, 1/3, 10
Determine i, given that -32*i**5/3 + 1904*i**4/3 - 310*i**3 - 824*i**2/3 - 118*i/3 = 0.
-1/4, 0, 1, 59
Find n, given that -2*n**2 + 276*n + 560 = 0.
-2, 140
Suppose -40*m**4 - 372*m**3 - 824*m**2 - 180*m + 72 = 0. Calculate m.
-6, -3, -1/2, 1/5
Suppose -242*w**3/5 - 4752*w**2/5 + 1752*w/5 - 32 = 0. Calculate w.
-20, 2/11
Determine m so that -m**3/5 - 2*m**2 = 0.
-10, 0
Factor z**4/3 + z**3 - 2*z**2 - 8*z/3.
z*(z - 2)*(z + 1)*(z + 4)/3
Suppose 12*h**4/5 + 62*h**3/5 + 88*h**2/5 + 6*h = 0. What is h?
-3, -5/3, -1/2, 0
Factor 2*f**4/5 - 52*f**3 + 11352*f**2/5 - 170108*f/5 + 159014/5.
2*(f - 43)**3*(f - 1)/5
Factor -t**2/4 - 274*t + 3297/4.
-(t - 3)*(t + 1099)/4
Suppose -5*s**3 - 60*s**2 - 145*s - 90 = 0. What is s?
-9, -2, -1
Let j**5/4 + 3*j**4/2 + 3*j**3/2 - 5*j**2 - 39*j/4 - 9/2 = 0. What is j?
-3, -1, 2
Determine h, given that h**2/6 + 446*h/3 + 99458/3 = 0.
-446
Solve q**3 - 3*q**2 - 4*q + 12 = 0 for q.
-2, 2, 3
Find c such that -c**3/2 + 17*c**2 - 149*c/2 + 58 = 0.
1, 4, 29
What is d in -5*d**3 - 85*d**2 + 2570*d + 5440 = 0?
-32, -2, 17
Factor 4*m**3 - 92*m**2 + 480*m + 576.
4*(m - 12)**2*(m + 1)
Let 84*g**3 + 1479*g**2 + 1041*g - 354 = 0. Calculate g.
-118/7, -1, 1/4
Let -14*p**5/11 - 18*p**4/11 + 290*p**3/11 + 98*p**2/11 - 276*p/11 - 80/11 = 0. What is p?
-5, -1, -2/7, 1, 4
Determine l so that -l**4/3 + 3*l**3 + 4*l**2 - 20*l/3 = 0.
-2, 0, 1, 10
Solve 3*o**3/8 + 63*o**2/4 + 117*o/8 - 123/4 = 0.
-41, -2, 1
Factor -15*m**3 + 8823*m**2 - 1298304*m + 259308.
-3*(m - 294)**2*(5*m - 1)
Factor h**5/5 + 12*h**4/5 - 3*h**3 - 278*h**2/5 + 828*h/5 - 648/5.
(h - 2)**3*(h + 9)**2/5
Suppose p**4 - p**3 - 50*p**2 - 48*p = 0. What is p?
-6, -1, 0, 8
Factor -2*a**3/17 + 2*a**2/17.
-2*a**2*(a - 1)/17
Factor -c**3/6 - 8*c**2/3 - 61*c/6 - 11.
-(c + 2)*(c + 3)*(c + 11)/6
Solve 45*o**5 - 5055*o**4 + 132335*o**3 + 544055*o**2 + 317840*o + 50460 = 0 for o.
-3, -1/3, 58
Factor 5*o**5 + 40*o**4 + 80*o**3.
5*o**3*(o + 4)**2
Solve 8*z**4/5 + 698*z**3/5 + 13422*z**2/5 - 81328*z/5 - 4232 = 0.
-46, -1/4, 5
Factor -2*s**4 - 2*s**3 + 4*s**2.
-2*s**2*(s - 1)*(s + 2)
Factor -3*c**3 + 297*c**2 - 9801*c + 107811.
-3*(c - 33)**3
Determine u, given that -5*u**2/4 - 655*u/4 + 665/2 = 0.
-133, 2
Factor -2*w**2/19 + 232*w/19 - 6728/19.
-2*(w - 58)**2/19
Solve -3*h**2 + 72*h + 156 = 0 for h.
-2, 26
Factor 2*u**4/7 + 16*u**3/7 + 38*u**2/7 + 24*u/7.
2*u*(u + 1)*(u + 3)*(u + 4)/7
Determine y so that -356*y**3 + 364*y**2 + 704*y - 16 = 0.
-1, 2/89, 2
Factor -3*b**2 + 4512*b - 1696512.
-3*(b - 752)**2
Solve 52*j**5/7 + 100*j**4/7 - 60*j**3/7 - 100*j**2/7 + 8*j/7 = 0.
-2, -1, 0, 1/13, 1
Factor 2*d**2/7 + 66*d/7 + 180/7.
2*(d + 3)*(d + 30)/7
Factor g**3/8 - 3*g**2/4 - 7*g/8.
g*(g - 7)*(g + 1)/8
Let t**3 + 10*t**2 + 16*t = 0.