9, 12
Solve -2*t**2/5 + 6256*t/5 = 0.
0, 3128
Factor 5*t**4 + 1180*t**3 + 70785*t**2 + 136890*t.
5*t*(t + 2)*(t + 117)**2
Let 2*p**4/3 + 22*p**3/3 + 26*p**2 + 30*p = 0. What is p?
-5, -3, 0
Determine s so that 2*s**5/3 + 7*s**4/3 - 2*s**3 - 7*s**2/3 + 4*s/3 = 0.
-4, -1, 0, 1/2, 1
Let 3*a**3 - 249*a**2 + 6405*a - 47775 = 0. What is a?
13, 35
Determine a, given that 14*a**5/9 - 12*a**4 + 38*a**3/9 + 80*a**2 + 200*a/9 = 0.
-2, -2/7, 0, 5
What is i in i**4/2 + 10*i**3 + 91*i**2/2 = 0?
-13, -7, 0
Solve -d**4 - d**3 + 43*d**2 + d - 42 = 0.
-7, -1, 1, 6
Factor -o**5/7 - 2*o**4/7 + 3*o**3/7 + 4*o**2/7 - 4*o/7.
-o*(o - 1)**2*(o + 2)**2/7
Suppose 5*o**5 - 60*o**4 + 140*o**3 - 30*o**2 - 145*o + 90 = 0. What is o?
-1, 1, 2, 9
Solve 5*m**2/3 + 375*m + 1120/3 = 0.
-224, -1
Find d, given that -5*d**3/3 + 70*d**2/3 - 125*d/3 + 20 = 0.
1, 12
Solve 2*y**5 - 6*y**4 - 4*y**3 + 24*y**2 - 16*y = 0 for y.
-2, 0, 1, 2
Find u, given that -5*u**5/3 + 43*u**4/3 + 73*u**3/3 - 23*u**2/3 - 68*u/3 - 20/3 = 0.
-1, -2/5, 1, 10
Factor 4*c**3 - 192*c**2 - 432*c + 1600.
4*(c - 50)*(c - 2)*(c + 4)
Factor -3*b**3 + 1668*b**2 - 6633*b + 4968.
-3*(b - 552)*(b - 3)*(b - 1)
Determine i so that -6*i**3/7 + 18*i**2 - 126*i + 294 = 0.
7
Factor 16*x**4 - 172*x**3 + 456*x**2 - 252*x.
4*x*(x - 7)*(x - 3)*(4*x - 3)
Determine a, given that a**2/3 + 10*a/3 - 8 = 0.
-12, 2
Find q, given that -14*q**4 - 116*q**3 - 246*q**2 + 16*q + 160 = 0.
-4, -1, 5/7
Factor 2*y**4/9 + 4*y**3/3 + 8*y**2/9 - 4*y/3 - 10/9.
2*(y - 1)*(y + 1)**2*(y + 5)/9
Factor 5*d**4 - 175*d**3 + 990*d**2 + 6220*d + 7000.
5*(d - 25)*(d - 14)*(d + 2)**2
Solve -2*o**4/3 - 20*o**3/3 + 50*o**2 + 1000*o/3 - 5000/3 = 0.
-10, 5
Let -49*k**5/5 + 53*k**3/5 - 4*k/5 = 0. Calculate k.
-1, -2/7, 0, 2/7, 1
Find t such that -4*t**2 + 348*t - 344 = 0.
1, 86
Solve 2*k**3/13 + 66*k**2/13 + 432*k/13 - 1944/13 = 0 for k.
-18, 3
Factor -5*s**3/4 + 13*s**2 - 5*s.
-s*(s - 10)*(5*s - 2)/4
Find z such that -45*z**5 - 123*z**4 + 228*z**3 - 12*z**2 - 48*z = 0.
-4, -2/5, 0, 2/3, 1
Suppose 1156*d**2/9 - 2176*d/9 + 1024/9 = 0. What is d?
16/17
Factor x**2/5 - 1258*x/5 + 395641/5.
(x - 629)**2/5
Factor -4*t**4 + 1332*t**3 - 2648*t**2.
-4*t**2*(t - 331)*(t - 2)
Factor -4*m**2/5 + 6368*m/5 - 2544.
-4*(m - 1590)*(m - 2)/5
Factor 2*u**3/7 + 2*u**2 + 12*u/7.
2*u*(u + 1)*(u + 6)/7
Factor 4*x**5 - 32*x**4 + 21*x**3 + 47*x**2 + 14*x.
x*(x - 7)*(x - 2)*(2*x + 1)**2
Factor -a**3 - 225*a**2 - 12075*a + 66125.
-(a - 5)*(a + 115)**2
Determine k, given that -4*k**5 - 4*k**4 + 24*k**3 = 0.
-3, 0, 2
Factor -2*l**3 - 226*l**2 - 220*l + 448.
-2*(l - 1)*(l + 2)*(l + 112)
Factor -y**4/4 - 133*y**3/2 - 17421*y**2/4 + 8911*y - 4489.
-(y - 1)**2*(y + 134)**2/4
Factor 60*z**3 - 62*z**2 - 118*z + 4.
2*(z - 2)*(z + 1)*(30*z - 1)
Suppose i**5 + 6*i**4 + 11*i**3 + 2*i**2 - 12*i - 8 = 0. What is i?
-2, -1, 1
Determine j, given that 5*j**2 + 3770*j = 0.
-754, 0
Suppose -u**2/6 + 5*u/3 - 8/3 = 0. What is u?
2, 8
Determine l so that -4*l**4 + 20*l**3 + 28*l**2 - 20*l - 24 = 0.
-1, 1, 6
Determine o so that 2*o**2/9 + 4*o/9 = 0.
-2, 0
Suppose m**4/5 - 2*m**3/5 - 24*m**2/5 + 10*m - 5 = 0. Calculate m.
-5, 1, 5
Factor -2*h**3/23 + 14*h/23 - 12/23.
-2*(h - 2)*(h - 1)*(h + 3)/23
Factor t**2/4 - 2*t.
t*(t - 8)/4
Solve 2*w**5/7 - 178*w**4/7 + 4510*w**3/7 - 3362*w**2 = 0 for w.
0, 7, 41
Factor -3*d**2/7 + 12*d/7 - 9/7.
-3*(d - 3)*(d - 1)/7
Factor -2*g**3/7 + 18*g**2/7 - 16*g/7 - 120/7.
-2*(g - 6)*(g - 5)*(g + 2)/7
Factor -2*c**4 - 6*c**3 + 2*c**2 + 6*c.
-2*c*(c - 1)*(c + 1)*(c + 3)
Factor 5*v**5 + 40*v**4 - 415*v**3 - 5310*v**2 - 16740*v - 11880.
5*(v - 11)*(v + 1)*(v + 6)**3
Find r such that -52*r**2 + 164*r - 24 = 0.
2/13, 3
Suppose -2*g**3/13 + 8*g**2/13 + 10*g/13 = 0. What is g?
-1, 0, 5
Factor -4*d**2/7 - 528*d/7 - 17424/7.
-4*(d + 66)**2/7
Factor -5*u**3 + 10*u**2 + 160*u - 480.
-5*(u - 4)**2*(u + 6)
Factor 5*s**4 - 245*s**3 - 275*s**2 + 1265*s - 750.
5*(s - 50)*(s - 1)**2*(s + 3)
Let 5*l**3 - 5*l = 0. What is l?
-1, 0, 1
Solve -5*p**4 + 60*p**3 + 300*p**2 + 320*p = 0 for p.
-2, 0, 16
Find u such that -5*u**3/2 + 15*u**2/2 + 70*u = 0.
-4, 0, 7
Factor g**5 + 163*g**4 - 164*g**3.
g**3*(g - 1)*(g + 164)
Find n, given that 2*n**3/5 + 4*n**2 + 62*n/5 + 12 = 0.
-5, -3, -2
Factor 3*f**4/4 + 279*f**3/4 - 288*f**2 + 291*f.
3*f*(f - 2)**2*(f + 97)/4
Factor -14*n**3/11 + 46*n**2/11 - 12*n/11.
-2*n*(n - 3)*(7*n - 2)/11
Factor k**4/2 + 87*k**3/2 + 43*k**2.
k**2*(k + 1)*(k + 86)/2
Factor 4*b**2 + 4288*b.
4*b*(b + 1072)
Factor 5*o**2 - 155*o - 160.
5*(o - 32)*(o + 1)
Factor -z**2/6 - 91*z/6 + 46/3.
-(z - 1)*(z + 92)/6
Factor 4*k**4/7 - 43*k**3/7 - 59*k**2/7 - 12*k/7.
k*(k - 12)*(k + 1)*(4*k + 1)/7
Let -q**5/9 + 26*q**4/9 + 56*q**3/9 + 2*q**2/9 - 55*q/9 - 28/9 = 0. Calculate q.
-1, 1, 28
What is p in -4*p**5 + 24*p**4 - 36*p**3 + 16*p**2 = 0?
0, 1, 4
Factor 4*w**4 + 72*w**3 - 80*w**2 - 72*w + 76.
4*(w - 1)**2*(w + 1)*(w + 19)
Find c such that -c**3/5 + 2*c**2/5 - c/5 = 0.
0, 1
Determine q, given that -5*q**3 + 45*q**2 + 5*q - 45 = 0.
-1, 1, 9
Factor 5*w**5 + 15*w**4 + 15*w**3 + 5*w**2.
5*w**2*(w + 1)**3
Factor 2*j**4 + 34*j**3 + 174*j**2 + 270*j.
2*j*(j + 3)*(j + 5)*(j + 9)
Find m such that m**5 - 9*m**4 + 8*m**3 = 0.
0, 1, 8
Factor 5*c**4 + 30*c**3 - 15*c**2 - 280*c - 240.
5*(c - 3)*(c + 1)*(c + 4)**2
Suppose 5*a**4 + 20*a**3 + 25*a**2 + 10*a = 0. Calculate a.
-2, -1, 0
Solve -2*q**3/11 + 64*q**2/11 + 384*q/11 - 18432/11 = 0.
-16, 24
Factor 3*x**2/2 - 75*x/2.
3*x*(x - 25)/2
Find y, given that -5*y**3 - 135*y**2 + 290*y = 0.
-29, 0, 2
Let 28*w**4 - 268*w**3 + 144*w**2 = 0. Calculate w.
0, 4/7, 9
Factor -11*j**2/3 + 35*j/3 + 38.
-(j + 2)*(11*j - 57)/3
Suppose 5*l**3 - 45*l**2 + 30*l + 280 = 0. What is l?
-2, 4, 7
Suppose -4*x**2/5 + 788*x/5 = 0. What is x?
0, 197
Solve -f**3/4 - 125*f**2/4 - 3575*f/4 + 21125/4 = 0 for f.
-65, 5
Suppose x**3/7 + 16*x**2 - 113*x/7 = 0. What is x?
-113, 0, 1
Suppose 2*o**5/3 + 2*o**4 - 10*o**3/3 - 10*o**2 + 8*o/3 + 8 = 0. Calculate o.
-3, -2, -1, 1, 2
Factor -2*s**2 + 176*s - 344.
-2*(s - 86)*(s - 2)
Let 4*q**3 - 112*q**2 + 396*q - 288 = 0. What is q?
1, 3, 24
What is h in -h**4/4 - 39*h**3/4 - 73*h**2/4 + 39*h/4 + 37/2 = 0?
-37, -2, -1, 1
Let -4*f**4/7 - 306*f**3/7 - 5280*f**2/7 + 3200*f = 0. What is f?
-40, 0, 7/2
Factor -4*z**3 + 8*z**2 + 20*z - 24.
-4*(z - 3)*(z - 1)*(z + 2)
Factor g**4 + 260*g**3 + 1029*g**2 + 1282*g + 512.
(g + 1)**2*(g + 2)*(g + 256)
Find r, given that 5*r**3 - 40*r**2 - 45*r = 0.
-1, 0, 9
Determine c so that c**3/8 + 493*c**2/8 + 61495*c/8 + 180075/8 = 0.
-245, -3
Let -2*x**5/7 + 75*x**4/7 + 283*x**3/7 + 24*x**2 - 164*x/7 = 0. What is x?
-2, 0, 1/2, 41
Factor -2*i**2/5 + 56*i/5 - 54/5.
-2*(i - 27)*(i - 1)/5
Let h**4/6 - h**3/2 - 65*h**2/3 + 44*h = 0. Calculate h.
-11, 0, 2, 12
Factor -5*b**2 + 160*b + 1140.
-5*(b - 38)*(b + 6)
Solve l**2 - 11*l - 522 = 0 for l.
-18, 29
Solve -21*a**3 + 27*a**2 - 6*a = 0 for a.
0, 2/7, 1
Solve 3*y**3/7 - 1728*y**2/7 = 0.
0, 576
What is r in 2*r**2/5 + 56*r/5 + 294/5 = 0?
-21, -7
Let b**3/5 + 128*b**2/5 + 253*b/5 + 126/5 = 0. What is b?
-126, -1
Find q such that 14*q**5 + 844*q**4 + 1850*q**3 - 380*q**2 - 1864*q - 464 = 0.
-58, -2, -1, -2/7, 1
Factor -3*m**3 + 291*m**2.
-3*m**2*(m - 97)
Factor -y**4 - 2*y**3 + 7*y**2 + 20*y + 12.
-(y - 3)*(y + 1)*(y + 2)**2
Let -2*i**2/17 - 880*i/17 - 96800/17 = 0. What is i?
-220
Let 15*d**2/8 - 6798*d - 5439/2 = 0. What is d?
-2/5, 3626
Factor b**2/7 - 9*b/7 - 162/7.
(b - 18)*(b + 9)/7
Let 15*q**2 - 4340*q - 4355 = 0. Calculate q.
-1, 871/3
Factor 7*l**2/8 - 17*l/8 + 3/4.
(l - 2)*(7*l - 3)/8
Factor d**4/4 - 21*d**2/4 - 5*d.
d*(d - 5)*(d + 1)*(d + 4)/4
Solve 18*g**4 - 96*g**3 - 196*g**2 - 96*g - 14 = 0.
-1, -1/3, 7
Factor -3*o**2/5 - 189*o/5 + 594/5.
-3*(o - 3)*(o + 66)/5
Solve -i**2/4 + 83*i/4 + 85/2 = 0 for i.
-2, 85
Factor -o**4/6 - 8*o**3/3 - 41*o**2/6 - 13*o/3.
-o*(o + 1)*(o + 2)*(o + 13)/6
Find i such that 3*i**2 + 162*i + 2187 = 0.
-27
Factor -k**4 + 1173*k**3 - 458643*k**2 + 59776471*k.
-k*(k - 391)**3
Let -5*v**2 + 6390*v - 2041605 = 0. Calculate v.
639
Solve -w**2/11 + 38*w - 3971 = 0.
209
Suppose -4*m**4 + 4*m**3 + 228*m**2 - 1044*m + 1296 = 0. What is m?
-9, 3, 4
Solve -280*q**5 - 1124*q**4 - 1392*q**3 - 484*q**2 + 112*q + 48 = 0.
-2, -1, -3/10, 2/7
Factor p**4 + 26*p**3 + 