2*d**2/3 - 1036*d/3 + 520/3.
4*(d - 1)**2*(d + 130)/3
Find t, given that 5*t**2/3 + 2960*t + 1314240 = 0.
-888
Let 3*y**3 + 198*y**2 + 3780*y + 16200 = 0. What is y?
-30, -6
Factor -4*q**4 + 44*q**3 - 144*q**2 + 64*q + 256.
-4*(q - 4)**3*(q + 1)
Factor -4*h**5/5 - 1212*h**4/5 - 2412*h**3/5 - 1204*h**2/5.
-4*h**2*(h + 1)**2*(h + 301)/5
Factor 5*p**5 + 55*p**4 + 115*p**3 - 175*p**2.
5*p**2*(p - 1)*(p + 5)*(p + 7)
Determine s, given that 2*s**5 - 56*s**4 + 444*s**3 - 728*s**2 + 338*s = 0.
0, 1, 13
Let -2*w**2/3 - 20*w/3 - 6 = 0. What is w?
-9, -1
Factor 4*q**2 - 3980*q - 3984.
4*(q - 996)*(q + 1)
Solve -3*c**4 - 19*c**3 + 14*c**2 = 0 for c.
-7, 0, 2/3
What is y in -y**2 + 2784*y - 1937664 = 0?
1392
Factor 2*r**3/7 + 30*r**2/7 + 108*r/7 + 80/7.
2*(r + 1)*(r + 4)*(r + 10)/7
Find w such that 6*w**4/11 - 126*w**3/11 + 612*w**2/11 - 1128*w/11 + 720/11 = 0.
2, 15
Factor 2*i**4/9 - 56*i**3/9 + 60*i**2 - 216*i + 162.
2*(i - 9)**3*(i - 1)/9
Solve -7*h**4 + 15*h**3 + 18*h**2 - 28*h - 24 = 0 for h.
-1, -6/7, 2
What is b in 3*b**5/4 - 150*b**4 + 37299*b**3/4 - 368157*b**2/2 + 1269489*b - 1874886 = 0?
2, 13, 86
Solve -16*n**2 - 264*n - 1089 = 0.
-33/4
Solve j**5/2 + 265*j**4 + 70225*j**3/2 = 0 for j.
-265, 0
Solve -i**4/2 + i**3 + 5*i**2/2 - 3*i = 0 for i.
-2, 0, 1, 3
Factor 5*q**4 - 20*q**3 + 10*q**2 + 20*q - 15.
5*(q - 3)*(q - 1)**2*(q + 1)
Suppose -z**5 - 5*z**4 - 3*z**3 + 17*z**2 + 28*z + 12 = 0. Calculate z.
-3, -2, -1, 2
What is k in -75*k**5 + 2955*k**4 + 1827*k**3 - 1083*k**2 + 120*k = 0?
-1, 0, 1/5, 40
Solve -b**5/5 + 8*b**4/5 + 91*b**3/5 - 818*b**2/5 + 144*b = 0 for b.
-10, 0, 1, 8, 9
Suppose -21*c**4/5 + 7038*c**3 - 14737068*c**2/5 - 4213464*c/5 = 0. What is c?
-2/7, 0, 838
Factor -5*h**3/2 - 300*h**2 - 1185*h/2 - 295.
-5*(h + 1)**2*(h + 118)/2
Determine x so that 15*x**4 - 103*x**3 + 211*x**2 - 105*x - 18 = 0.
-2/15, 1, 3
Solve -5*z**2/3 - 190*z/3 - 595 = 0 for z.
-21, -17
Factor 134*o**3/3 + 5620*o**2/3 + 19586*o - 1176.
2*(o + 21)**2*(67*o - 4)/3
Factor -3*n**3 - 426*n**2 + 435*n + 858.
-3*(n - 2)*(n + 1)*(n + 143)
Let 5*t**3 - 9170*t**2 + 18325*t - 9160 = 0. Calculate t.
1, 1832
Determine o, given that -o**3/6 - 50*o**2/3 + 101*o/6 = 0.
-101, 0, 1
Determine o so that -3*o**5/4 + 3*o**4 + 21*o**3/4 - 15*o**2/2 = 0.
-2, 0, 1, 5
Suppose 225*i**5 - 1410*i**4 + 364*i**3 + 7176*i**2 - 1920*i + 128 = 0. What is i?
-2, 2/15, 4
Factor 4*g**3/3 + 164*g**2/3 + 280*g.
4*g*(g + 6)*(g + 35)/3
Suppose 2*m**2/7 + 76*m/7 + 74/7 = 0. What is m?
-37, -1
Determine c so that -c**4/2 + 5*c**3 - 12*c**2 - 5*c + 25/2 = 0.
-1, 1, 5
What is i in -3*i**2 - 81*i - 456 = 0?
-19, -8
Factor 3*z**3 + 3*z**2 - 30*z + 24.
3*(z - 2)*(z - 1)*(z + 4)
Let 2*c**2 + 268*c = 0. What is c?
-134, 0
Factor -n**2 + 100*n - 291.
-(n - 97)*(n - 3)
Determine b so that 2*b**3/11 - 350*b**2/11 + 13616*b/11 + 152352/11 = 0.
-9, 92
Find g such that -3*g**5 - 6*g**4 + 6*g**2 + 3*g = 0.
-1, 0, 1
Factor -2662*a**4/9 - 85910*a**3/9 - 29128*a**2 - 31008*a - 11136.
-2*(a + 29)*(11*a + 12)**3/9
Factor -2*u**3/9 + 2*u**2/3 + 40*u/3 + 200/9.
-2*(u - 10)*(u + 2)*(u + 5)/9
Find c such that -2*c**2 + 8*c = 0.
0, 4
Factor p**4/3 - 5*p**3/3 + 4*p**2/3.
p**2*(p - 4)*(p - 1)/3
Factor 3*c**4 - 384*c**3 + 1134*c**2 - 1128*c + 375.
3*(c - 125)*(c - 1)**3
Factor 4*x**5 - 552*x**4/5 + 3696*x**3/5 + 1568*x**2/5.
4*x**2*(x - 14)**2*(5*x + 2)/5
Factor 2*p**5 + 68*p**4 + 578*p**3.
2*p**3*(p + 17)**2
Determine i so that -3*i**5/4 - 5*i**4/4 + 5*i**3/4 + 5*i**2/4 - i/2 = 0.
-2, -1, 0, 1/3, 1
Suppose -2*k**4 - 48*k**3 - 356*k**2 - 960*k - 650 = 0. What is k?
-13, -5, -1
Solve 3*s**4 - 15*s**3 + 21*s**2 - 9*s = 0.
0, 1, 3
Factor r**2/5 + 4416*r/5 + 4875264/5.
(r + 2208)**2/5
Factor -20*t**4 + 3044*t**3 - 153612*t**2 + 2528172*t + 2122416.
-4*(t - 51)**3*(5*t + 4)
What is l in 3*l**2/4 - 33*l/2 - 126 = 0?
-6, 28
Factor -5*l**2 + 205*l + 210.
-5*(l - 42)*(l + 1)
Let 4*z**2 - 4*z = 0. What is z?
0, 1
Solve -2*r**4 + 26*r**3 - 22*r**2 - 26*r + 24 = 0.
-1, 1, 12
Factor 4*q**4 + 4*q**3 - 12*q**2 - 4*q + 8.
4*(q - 1)**2*(q + 1)*(q + 2)
Find j, given that -j**3 + 16*j**2 + 225*j = 0.
-9, 0, 25
Find l such that 2*l**5 - 14*l**4 + 6*l**3 + 46*l**2 - 64*l + 24 = 0.
-2, 1, 6
Suppose 3*x**3 - 3609*x**2 + 1083600*x + 1087212 = 0. What is x?
-1, 602
Factor -3*b**3/5 - 9*b**2/5 + 84*b/5.
-3*b*(b - 4)*(b + 7)/5
Factor 2*j**3 + 25*j**2/2 + 19*j + 4.
(j + 2)*(j + 4)*(4*j + 1)/2
Determine o so that -o**3/2 - 3*o**2 + 15*o/2 + 50 = 0.
-5, 4
Let -u**4 + 5*u**3 + 9*u**2 - 45*u = 0. Calculate u.
-3, 0, 3, 5
Factor -4*i**2 + 2048*i - 2044.
-4*(i - 511)*(i - 1)
Factor -3*b**4/5 - 6*b**3/5 + 72*b**2/5.
-3*b**2*(b - 4)*(b + 6)/5
Factor l**5/2 - 11*l**4/2 - 605*l**3/2 + 1331*l**2/2 + 58564*l + 322102.
(l - 22)**2*(l + 11)**3/2
Let -2*h**5/3 - h**4/3 + 4*h**3/3 + 2*h**2/3 - 2*h/3 - 1/3 = 0. What is h?
-1, -1/2, 1
Solve h**3/3 - 8*h**2/3 - 31*h/3 - 22/3 = 0 for h.
-2, -1, 11
Determine i so that 3*i**2 + 21*i + 30 = 0.
-5, -2
Factor 3*p**2/7 + 195*p/7 - 2508/7.
3*(p - 11)*(p + 76)/7
Solve 28*l**5 + 92*l**4 + 80*l**3 + 16*l**2 = 0.
-2, -1, -2/7, 0
Suppose -4*g**5/5 - 832*g**4/5 + 12*g**3/5 + 2504*g**2/5 + 1664*g/5 = 0. What is g?
-208, -1, 0, 2
Factor -3*g**3 - 66*g**2 - 288*g + 864.
-3*(g - 2)*(g + 12)**2
Let -4*z**4/7 + 14116*z**3/7 = 0. Calculate z.
0, 3529
Suppose 3*a**2 - 3378*a = 0. What is a?
0, 1126
Factor 3*q**3/4 + 117*q**2/2 + 621*q + 1782.
3*(q + 6)**2*(q + 66)/4
What is r in -4*r**5/13 - 10*r**4/13 + 8*r**3/13 + 38*r**2/13 + 32*r/13 + 8/13 = 0?
-2, -1, -1/2, 2
Factor y**2/4 - 175*y + 30625.
(y - 350)**2/4
Determine t, given that 6*t**5 + 82*t**4 + 298*t**3 + 446*t**2 + 296*t + 72 = 0.
-9, -2, -1, -2/3
Find o, given that 3*o**3/5 + 69*o**2/5 - 3*o/5 - 69/5 = 0.
-23, -1, 1
Suppose 15*m**3 - 55*m**2 + 60*m - 20 = 0. What is m?
2/3, 1, 2
Find a, given that 36*a**4 + 172*a**3 + 48*a**2 - 256*a = 0.
-4, -16/9, 0, 1
Solve -5*y**3 + 15*y**2 - 15*y + 5 = 0 for y.
1
Suppose -3*g**4/5 + 783*g**3/5 + 789*g**2/5 - 783*g/5 - 786/5 = 0. What is g?
-1, 1, 262
Solve -2*r**2/19 + 464*r/19 + 936/19 = 0.
-2, 234
Factor -4*v**4/9 + 2416*v**3/9 - 122408*v**2/3 + 727216*v/9 - 362404/9.
-4*(v - 301)**2*(v - 1)**2/9
Determine q, given that -2*q**3 - 6*q**2 + 80*q = 0.
-8, 0, 5
Suppose 4*u**4 - 176*u**3 - 1848*u**2 - 3280*u + 5300 = 0. Calculate u.
-5, 1, 53
Find o such that -2*o**2/3 + 1316*o/3 - 216482/3 = 0.
329
Find f, given that -15*f**4/2 - 45*f**3 - 415*f**2/6 - 115*f/3 - 20/3 = 0.
-4, -1, -2/3, -1/3
Factor 2*w**3 - 10*w**2 - 168*w.
2*w*(w - 12)*(w + 7)
Factor g**2/4 - 969*g/2 + 938961/4.
(g - 969)**2/4
Factor 3*p**3 - 81*p**2 + 504*p + 588.
3*(p - 14)**2*(p + 1)
Factor 2*i**2/3 - 11980*i/3 + 17940050/3.
2*(i - 2995)**2/3
Solve a**3 - 5*a**2 - a + 5 = 0 for a.
-1, 1, 5
Solve -6*c**2 + 256*c - 488 = 0.
2, 122/3
Determine i so that -5*i**5 - 15*i**4 + 5*i**3 + 55*i**2 + 60*i + 20 = 0.
-2, -1, 2
Let 2*n**3 + 492*n**2 - 990*n + 496 = 0. What is n?
-248, 1
Factor 20*b**3 - 55*b**2 + 25*b + 10.
5*(b - 2)*(b - 1)*(4*b + 1)
Determine v, given that 4*v**2 + 328*v + 6724 = 0.
-41
Factor -5*k**4 + 255*k**3 - 250*k**2.
-5*k**2*(k - 50)*(k - 1)
Factor i**5/8 + 25*i**4/8 + 45*i**3/4 + 65*i**2/4 + 85*i/8 + 21/8.
(i + 1)**4*(i + 21)/8
Factor -2*b**2/5 - 16*b/5.
-2*b*(b + 8)/5
Solve -u**4/9 - 29*u**3/9 - 11*u**2/3 + 2717*u/9 - 5054/9 = 0.
-19, 2, 7
Factor -4*u**2 - 64*u - 252.
-4*(u + 7)*(u + 9)
Factor o**2/5 + 360*o + 162000.
(o + 900)**2/5
Factor 22*k**2 + 20*k - 2.
2*(k + 1)*(11*k - 1)
Determine j, given that -4*j**3 - 600*j**2 + 2452*j - 1848 = 0.
-154, 1, 3
Determine j so that 2*j**4 + 26*j**3 + 6*j**2 - 234*j - 216 = 0.
-12, -3, -1, 3
Suppose j**5/3 - 28*j**4/3 + 97*j**3/3 + 1334*j**2/3 + 3196*j/3 + 2312/3 = 0. Calculate j.
-2, 17
What is u in 39*u**3 - 654*u**2/5 + 564*u/5 - 72/5 = 0?
2/13, 6/5, 2
Let -18*c**4/11 + 50*c**3/11 - 42*c**2/11 + 6*c/11 + 4/11 = 0. What is c?
-2/9, 1
Factor m**3 + 8*m**2 + 4*m - 48.
(m - 2)*(m + 4)*(m + 6)
Determine q, given that 4*q**2/7 - 48*q/7 + 80/7 = 0.
2, 10
Factor 2*t**4 - 6*t**3 - 6*t**2 + 14*t + 12.
2*(t - 3)*(t - 2)*(t + 1)**2
Solve -14*z**2/5 + 676*z/5 - 192/5 = 0 for z.
2/7, 48
Let -3*r**2 - 633*r = 0. Calculate r.
-211, 0
Determine z so that -3*z**2/7 + 3300*z/7 - 6588/7 = 0.
2, 1098
Factor i**2 - 223*i - 908.
(i - 227)*(i + 