 Calculate d.
-1, 1, 6
Let u**3/4 + 33*u**2/2 + 363*u + 2662 = 0. Calculate u.
-22
Factor -u**3/4 - 43*u**2/4 + 160*u - 275.
-(u - 10)*(u - 2)*(u + 55)/4
Find n such that 4*n**3 + 548*n**2 + 1068*n - 1620 = 0.
-135, -3, 1
Factor 125*d**5 + 1880*d**4 + 75*d**3.
5*d**3*(d + 15)*(25*d + 1)
What is i in -5*i**3 + 85*i**2 + 1445*i - 24565 = 0?
-17, 17
Factor -2*l**4 + 157*l**3 + 80*l**2 - 79*l.
-l*(l - 79)*(l + 1)*(2*l - 1)
Factor 3*o**2 + 4980*o.
3*o*(o + 1660)
Factor 12*f**2 + 849*f - 213.
3*(f + 71)*(4*f - 1)
Find h such that 4*h**5 - 72*h**4 - 336*h**3 - 352*h**2 = 0.
-2, 0, 22
Let -9*i**2 - 4*i = 0. What is i?
-4/9, 0
Factor 20*i**2 + 25*i - 570.
5*(i + 6)*(4*i - 19)
Determine b, given that 3*b**3 + 4515*b**2 + 1696509*b - 1701027 = 0.
-753, 1
Factor -5*m**3/4 - 7*m**2/4 + 2*m + 1.
-(m - 1)*(m + 2)*(5*m + 2)/4
Let -2*h**2/3 - 12140*h/3 - 18422450/3 = 0. What is h?
-3035
Factor b**3 - 31*b - 30.
(b - 6)*(b + 1)*(b + 5)
Let 5*n**3 - 10*n**2 - 175*n = 0. Calculate n.
-5, 0, 7
Factor -16*o**5 + 60*o**4 - 80*o**3 + 40*o**2 - 4.
-4*(o - 1)**4*(4*o + 1)
Let -2*t**2 + 36*t + 176 = 0. What is t?
-4, 22
Factor -s**2/2 - 13*s/2 - 18.
-(s + 4)*(s + 9)/2
Solve 2*v**4 - 8*v**3 - 2*v**2 + 8*v = 0 for v.
-1, 0, 1, 4
Find x such that 3*x**4 + 171*x**3 + 2502*x**2 + 1344*x - 14112 = 0.
-28, -3, 2
Solve 80*f**4 + 520*f**3 - 2755*f**2 + 855*f + 4050 = 0.
-10, -1, 9/4
Determine j, given that j**5/5 - 246*j**4/5 + 14877*j**3/5 + 31496*j**2/5 - 46128*j/5 = 0.
-3, 0, 1, 124
Factor 4*s**4 - 4*s**3 - 16*s**2 + 16*s.
4*s*(s - 2)*(s - 1)*(s + 2)
Factor -6*j**2/5 - 489*j/5 - 2079/5.
-3*(j + 77)*(2*j + 9)/5
Find p such that p**5 + p**4 - 4*p**3 - 4*p**2 = 0.
-2, -1, 0, 2
Determine t so that t**5/3 + 14*t**4/3 + 61*t**3/3 + 28*t**2 + 12*t = 0.
-6, -1, 0
Suppose f**4/3 + 10*f**3 - 65*f**2/3 - 10*f + 64/3 = 0. Calculate f.
-32, -1, 1, 2
Determine w, given that -2*w**2 - 18*w - 28 = 0.
-7, -2
Let 28*g**4 - 2416*g**3 - 1740*g**2 = 0. What is g?
-5/7, 0, 87
Let 2*a**5 - 60*a**4 + 90*a**3 + 640*a**2 - 600*a - 2016 = 0. Calculate a.
-2, 3, 28
Solve -66*k**5/5 + 2*k**4/5 + 594*k**3/5 - 282*k**2/5 - 784*k/5 + 24/5 = 0 for k.
-3, -1, 1/33, 2
Factor 5*y**4 + 60*y**3 + 215*y**2 + 120*y - 400.
5*(y - 1)*(y + 4)**2*(y + 5)
Let -25*k**3 - 198*k**2 - 384*k + 32 = 0. Calculate k.
-4, 2/25
Determine k, given that -k**5 - 44*k**4 - 484*k**3 = 0.
-22, 0
Factor -2*v**2/5 - 66*v/5 - 92.
-2*(v + 10)*(v + 23)/5
Find p such that 507*p**3 + 79443*p**2 - 24480*p + 1884 = 0.
-157, 2/13
Factor -4*f**3 + 60*f**2 + 292*f + 228.
-4*(f - 19)*(f + 1)*(f + 3)
Factor 2*w**2/3 + 160*w/3 + 3200/3.
2*(w + 40)**2/3
Factor -2*b**2/9 - 12*b - 658/9.
-2*(b + 7)*(b + 47)/9
Let -2*s**2/9 + 4888*s/3 - 2986568 = 0. What is s?
3666
Factor 2*d**2 - 214*d + 824.
2*(d - 103)*(d - 4)
Let j**2 + 2*j = 0. Calculate j.
-2, 0
What is q in -3*q**5 - 12*q**4 + 84*q**3 - 96*q**2 = 0?
-8, 0, 2
Factor 16*n**3 - 36*n**2 + 8*n.
4*n*(n - 2)*(4*n - 1)
Let b**3 - 23*b**2 + 34*b + 168 = 0. What is b?
-2, 4, 21
What is r in -4*r**3 + 132*r**2 - 864*r - 2288 = 0?
-2, 13, 22
Factor k**3/4 + 31*k**2/4 + 255*k/4 + 225/4.
(k + 1)*(k + 15)**2/4
Factor -3*h**3/7 + 2916*h**2/7 - 11628*h/7 + 11616/7.
-3*(h - 968)*(h - 2)**2/7
Factor k**2/7 + 25*k/7 + 24/7.
(k + 1)*(k + 24)/7
Factor -2*n**2 - 154*n - 152.
-2*(n + 1)*(n + 76)
Factor q**3 + 26*q**2 - 85*q + 58.
(q - 2)*(q - 1)*(q + 29)
Suppose 5*g**2 + 440*g - 1365 = 0. What is g?
-91, 3
Suppose -14*v**4 - 94*v**3 - 182*v**2 - 66*v + 36 = 0. What is v?
-3, -1, 2/7
Factor -2*q**4 + 228*q**3 - 670*q**2 + 444*q.
-2*q*(q - 111)*(q - 2)*(q - 1)
Factor -26*s**3 - 438*s**2 - 348*s + 64.
-2*(s + 1)*(s + 16)*(13*s - 2)
Suppose -5*w**5 + 10*w**4 + 120*w**3 + 80*w**2 - 400*w - 480 = 0. What is w?
-2, 2, 6
Solve -35*p**2 + 220*p - 60 = 0 for p.
2/7, 6
Determine h, given that 2*h**5/15 + 4*h**4/15 - 4*h**3 - 184*h**2/15 - 182*h/15 - 4 = 0.
-5, -1, 6
Factor 2*d**4 - 32*d**3 + 188*d**2 - 480*d + 450.
2*(d - 5)**2*(d - 3)**2
Factor 977202*g**2 - 22368*g + 128.
2*(699*g - 8)**2
Factor -5*q**3 + 15*q**2 - 20.
-5*(q - 2)**2*(q + 1)
Factor -2*k**3 + 114*k**2 + 2*k - 114.
-2*(k - 57)*(k - 1)*(k + 1)
Factor i**4/4 + 9*i**3/2 + 9*i**2/4 - 37*i - 51.
(i - 3)*(i + 2)**2*(i + 17)/4
Factor 2*q**4 + 352*q**3 + 15480*q**2 - 1408*q - 61952.
2*(q - 2)*(q + 2)*(q + 88)**2
Factor 2*f**3/3 - 2*f**2/3 - 98*f/3 + 98/3.
2*(f - 7)*(f - 1)*(f + 7)/3
Suppose 4*p**4 + 856*p**3 + 45792*p**2 - 856*p - 45796 = 0. Calculate p.
-107, -1, 1
Suppose -3*v**2 + 484*v - 161 = 0. What is v?
1/3, 161
Let 2*b**4/23 - 80*b**3/23 + 834*b**2/23 - 756*b/23 = 0. Calculate b.
0, 1, 18, 21
What is h in 5*h**2 + 120*h + 700 = 0?
-14, -10
Determine m so that -2*m**2/13 - 140*m/13 + 142/13 = 0.
-71, 1
Factor 2*z**5/5 + 22*z**4/5 + 84*z**3/5 + 108*z**2/5 - 54*z/5 - 162/5.
2*(z - 1)*(z + 3)**4/5
Factor -j**2/3 + 172*j - 22188.
-(j - 258)**2/3
Let 5*d**5 + 267*d**4 + 2511*d**3 + 4997*d**2 + 3504*d + 756 = 0. What is d?
-42, -9, -1, -2/5
Factor 16*t**4 - 412*t**3 - 536*t**2 - 108*t.
4*t*(t - 27)*(t + 1)*(4*t + 1)
What is n in -n**4 - 15*n**3 - 8*n**2 + 84*n = 0?
-14, -3, 0, 2
Factor 3*h**2/2 - 45*h.
3*h*(h - 30)/2
Factor -j**2/2 + 315*j/2 + 158.
-(j - 316)*(j + 1)/2
Factor -2*w**2/3 + 38*w/3 + 100.
-2*(w - 25)*(w + 6)/3
Let -z**3/11 + 3273*z**2/11 - 3570843*z/11 + 1298596571/11 = 0. What is z?
1091
Find p such that -p**4 + 15*p**3 + 24*p**2 - 1216*p + 4608 = 0.
-9, 8
Factor 2*o**4/3 + 210*o**3 + 628*o**2/3.
2*o**2*(o + 1)*(o + 314)/3
Factor 5*k**2 + 70*k + 240.
5*(k + 6)*(k + 8)
Factor -r**2/4 - 531*r/4.
-r*(r + 531)/4
Factor -4*a**3 - 204*a**2 - 2496*a - 8960.
-4*(a + 8)**2*(a + 35)
Factor -5*v**4 + 5*v**3 + 25*v**2 + 15*v.
-5*v*(v - 3)*(v + 1)**2
Determine z so that z**4/2 + 52*z**3 + 2895*z**2/2 + 11500*z - 13000 = 0.
-65, -20, 1
Find p such that -3*p**4 + 183*p**3 + 399*p**2 - 1335*p + 756 = 0.
-4, 1, 63
What is j in 8*j**5 + 10*j**4 - 38*j**3 + 14*j**2 + 6*j = 0?
-3, -1/4, 0, 1
Let 5*n**5 + 25*n**4 + 45*n**3 + 35*n**2 + 10*n = 0. What is n?
-2, -1, 0
Solve -10*h**2/3 - 82*h/3 + 340 = 0.
-15, 34/5
Factor -q**5 + q**4 + q**3 - q**2.
-q**2*(q - 1)**2*(q + 1)
Factor -2*c**4/7 - 32*c**3/7 - 176*c**2/7 - 384*c/7 - 288/7.
-2*(c + 2)**2*(c + 6)**2/7
Factor -k**3/8 - 97*k**2/2 + 391*k/2 - 196.
-(k - 2)**2*(k + 392)/8
Suppose 4*r**3 + 264*r**2 + 500*r - 768 = 0. What is r?
-64, -3, 1
Factor -c**5 - 6*c**4 - 4*c**3 + 6*c**2 + 5*c.
-c*(c - 1)*(c + 1)**2*(c + 5)
Let 40*j**4 + 5*j**3/2 - 40*j**2 - 5*j/2 = 0. Calculate j.
-1, -1/16, 0, 1
Solve -48*f**4 + 55752*f**3 - 16175043*f**2 - 8097978*f - 1012683 = 0.
-1/4, 581
Determine r so that -4*r**2/9 - 4*r/3 + 280/9 = 0.
-10, 7
Solve -5*k**2 + 45*k - 90 = 0 for k.
3, 6
Factor 4394*n**3 + 2028*n**2 + 312*n + 16.
2*(13*n + 2)**3
Let 2*l**4 + 18*l**3 + 56*l**2 + 72*l + 32 = 0. Calculate l.
-4, -2, -1
Factor -4*m**4 + 84*m**3 + 4*m**2 - 84*m.
-4*m*(m - 21)*(m - 1)*(m + 1)
Factor 5*w**2 + 40*w - 100.
5*(w - 2)*(w + 10)
Factor 21*d**3/4 - 1065*d**2/4 - 633*d - 159.
3*(d - 53)*(d + 2)*(7*d + 2)/4
Factor -x**5 + x**4 + 2*x**3 - 2*x**2 - x + 1.
-(x - 1)**3*(x + 1)**2
Suppose -6*h**5/7 + 10*h**4/7 + 26*h**3/7 - 2*h**2/7 - 12*h/7 = 0. What is h?
-1, 0, 2/3, 3
Factor -m**3/4 + 237*m**2/2 + m/4 - 237/2.
-(m - 474)*(m - 1)*(m + 1)/4
Determine i, given that 42*i**4 + 207*i**3 + 321*i**2 + 144*i - 12 = 0.
-2, -1, 1/14
Solve 2*p**4 + 188*p**3 + 4416*p**2 - 188*p - 4418 = 0.
-47, -1, 1
Factor k**4/4 - 7*k**3/4 + 5*k**2/4 + 7*k/4 - 3/2.
(k - 6)*(k - 1)**2*(k + 1)/4
Suppose 3*x**3 + 30*x**2 - 3*x - 30 = 0. What is x?
-10, -1, 1
Let 2*w**4/7 + 2*w**3 + 18*w**2/7 - 2*w - 20/7 = 0. What is w?
-5, -2, -1, 1
Factor -13*i**2/4 - 19*i + 3.
-(i + 6)*(13*i - 2)/4
Solve 15*h**3/7 - 66*h**2/7 + 24*h/7 = 0 for h.
0, 2/5, 4
Find j such that 300*j**4 + 55*j**3 - 215*j**2 + 30*j = 0.
-1, 0, 3/20, 2/3
Factor 3*i**4 - 10536*i**3 + 9261138*i**2 - 18490680*i + 9240075.
3*(i - 1755)**2*(i - 1)**2
Let -2*x**3 + 268*x**2 - 266*x = 0. What is x?
0, 1, 133
Let -2*o**2/7 - 22*o/7 - 20/7 = 0. Calculate o.
-10, -1
Factor -a**4 - 10*a**3 - 25*a**2.
-a**2*(a + 5)**2
Solve l**3/2 - 3*l**2/2 - 3*l + 4 = 0 for l.
-2, 1, 4
Suppose 2*l**3/5 + 48*l**2/5 + 46*l/5 = 0. Calculate l.
-23, -1, 0
Determine f so that f**2 + 65*f/4 + 4 = 0.
-16, -1/4
Suppose -d**2 - 139*d = 0. What is d?
-