*2/6 - 68*s/3 - 45/2 = 0.
-135, -1
Factor 32*y**2/17 - 222*y/17 - 14/17.
2*(y - 7)*(16*y + 1)/17
Determine n, given that -5*n**4/4 - 63*n**3/4 + 1013*n**2/2 - 2520*n + 928 = 0.
-29, 2/5, 8
What is f in 3*f**3/8 - 249*f**2/8 + 585*f/4 = 0?
0, 5, 78
Find p such that 3*p**4 + 6*p**3 - 33*p**2 - 36*p + 108 = 0.
-3, 2
Solve -15*r**4/4 - 239*r**3/4 + 67*r**2 - 17*r = 0 for r.
-17, 0, 2/5, 2/3
Suppose 189*j**4 + 32520*j**3 - 97173*j**2 - 8364*j + 6300 = 0. What is j?
-175, -2/7, 2/9, 3
Factor 6*y**2/7 + 570*y/7 - 2448.
6*(y - 24)*(y + 119)/7
Factor 2*z**4 - 46*z**3 + 130*z**2 + 1150*z - 4500.
2*(z - 18)*(z - 5)**2*(z + 5)
What is r in -2*r**2 - 442*r - 440 = 0?
-220, -1
Let -u**4/4 - 3*u**3/2 - 13*u**2/4 - 3*u - 1 = 0. What is u?
-2, -1
Factor 2*l**2/17 + 110*l/17 - 112/17.
2*(l - 1)*(l + 56)/17
Factor -4*r**4 - 648*r**3 - 27508*r**2 - 102384*r - 99856.
-4*(r + 2)**2*(r + 79)**2
Factor -2*k**2/13 - 1200*k/13 - 180000/13.
-2*(k + 300)**2/13
Suppose 16*x**5/5 + 76*x**4/5 - 132*x**3/5 - 436*x**2/5 + 596*x/5 - 24 = 0. What is x?
-5, -3, 1/4, 1, 2
Suppose 4*j**3 + 204*j**2 - 864*j + 880 = 0. Calculate j.
-55, 2
Determine l, given that l**4 + 28*l**3 + 109*l**2 - 138*l = 0.
-23, -6, 0, 1
Factor m**2 + 18*m + 45.
(m + 3)*(m + 15)
What is b in -b**4 + 11*b**3 - 33*b**2 + 9*b + 54 = 0?
-1, 3, 6
Determine g so that 2*g**3 - 106*g**2 - 332*g - 224 = 0.
-2, -1, 56
Factor -3*i**3 - 28*i**2 - 28*i + 32.
-(i + 2)*(i + 8)*(3*i - 2)
Find k, given that 2*k**2 + 592*k + 43808 = 0.
-148
Suppose 25*c**3 + 250*c**2 - 4*c - 40 = 0. Calculate c.
-10, -2/5, 2/5
Factor 3*z**3 + 69*z**2 - 3*z - 69.
3*(z - 1)*(z + 1)*(z + 23)
Factor 2*y**2/3 + 5*y - 8/3.
(y + 8)*(2*y - 1)/3
What is z in -3*z**5 + 21*z**4 - 45*z**3 + 39*z**2 - 12*z = 0?
0, 1, 4
Factor 74*x**2 + 662*x - 36.
2*(x + 9)*(37*x - 2)
Determine d so that -28*d**3 - 1912*d**2 + 7520*d + 2304 = 0.
-72, -2/7, 4
Let -4*b**2/3 - 21232*b/3 - 7076 = 0. What is b?
-5307, -1
Factor 5*r**5/4 - 5*r**4/4 - 25*r**3/4 - 15*r**2/4.
5*r**2*(r - 3)*(r + 1)**2/4
Find l such that 25*l**5/4 - 105*l**4/4 + 95*l**3/4 - 15*l**2/4 = 0.
0, 1/5, 1, 3
Find k such that 3*k**3 + 15*k**2 + 6*k - 24 = 0.
-4, -2, 1
Factor -4*g**4/5 - 104*g**3/5 - 676*g**2/5.
-4*g**2*(g + 13)**2/5
Find m such that 68*m**3 + 92*m**2 + 24*m = 0.
-1, -6/17, 0
Suppose 4*i**5/5 - 103*i**4/5 - 297*i**3/5 + 1307*i**2/5 - 1331*i/5 + 84 = 0. What is i?
-5, 3/4, 1, 28
Find z such that -z**2/2 + 57*z - 3249/2 = 0.
57
Suppose 2*c**3/9 + 986*c**2/3 + 365066*c/3 + 1092242/9 = 0. What is c?
-739, -1
Find p such that -5*p**4/4 + 115*p**3/4 - 765*p**2/4 + 665*p/4 + 2695/2 = 0.
-2, 7, 11
Let 3*k**2 - 282*k + 6627 = 0. Calculate k.
47
Factor -2*k**2 - 3828*k - 1831698.
-2*(k + 957)**2
Let 5*p**3 + 60*p**2 + 180*p + 160 = 0. Calculate p.
-8, -2
Determine g so that -2*g**2/3 + 8*g/3 + 8 = 0.
-2, 6
Factor 2*n**2 - 798*n.
2*n*(n - 399)
Find t, given that 27*t**3/7 + 60*t**2/7 - 69*t/7 - 18/7 = 0.
-3, -2/9, 1
Factor 4*y**2 + 17448*y.
4*y*(y + 4362)
Factor w**3 + 36*w**2 + 189*w - 2646.
(w - 6)*(w + 21)**2
Find a such that a**5 + 2*a**4 + a**3 = 0.
-1, 0
Solve -p**4 - 366*p**3 + 1104*p**2 - 1106*p + 369 = 0 for p.
-369, 1
Factor 2*x**3/9 + 2*x**2/3 - 4*x - 80/9.
2*(x - 4)*(x + 2)*(x + 5)/9
Factor 2*n**2 + 130*n + 252.
2*(n + 2)*(n + 63)
Factor -l**3/3 + 2*l**2/3 + 19*l/3 - 20/3.
-(l - 5)*(l - 1)*(l + 4)/3
Factor -5*q**5/6 + 5*q**4/6 + 5*q**3/3.
-5*q**3*(q - 2)*(q + 1)/6
What is a in -3*a**3 + 84*a**2 - 495*a - 1350 = 0?
-2, 15
Let 16*c**3 - 12*c + 4 = 0. Calculate c.
-1, 1/2
Factor 4*g**3/3 + 8*g**2/3.
4*g**2*(g + 2)/3
Factor -3*i**3/8 - 231*i**2/4 - 114*i.
-3*i*(i + 2)*(i + 152)/8
Factor 4*j**3 + 2980*j**2 + 553532*j - 556516.
4*(j - 1)*(j + 373)**2
Solve -5*j**2 + 80*j - 75 = 0 for j.
1, 15
What is b in 5*b**5 - 15*b**4 - 75*b**3 - 85*b**2 - 30*b = 0?
-1, 0, 6
Suppose -16*v**3 - 716*v**2 - 7544*v + 10580 = 0. Calculate v.
-23, 5/4
Factor -18*b**2 + 604*b + 272.
-2*(b - 34)*(9*b + 4)
Factor -2*l**2 + 14*l/5 - 4/5.
-2*(l - 1)*(5*l - 2)/5
What is b in -37*b**3/2 + 38*b**2 - 2*b = 0?
0, 2/37, 2
Suppose 2*x**5/9 - 26*x**4/9 + 44*x**3/9 = 0. Calculate x.
0, 2, 11
Find v such that -2*v**3 - 974*v**2 + 3920*v - 3928 = 0.
-491, 2
Solve -3*c**3 - 2883*c**2 - 691197*c + 694083 = 0 for c.
-481, 1
Suppose 4*a**2 + 224*a - 228 = 0. Calculate a.
-57, 1
Solve w**4/7 + 38*w**3/7 - 45*w**2/7 - 234*w/7 = 0.
-39, -2, 0, 3
Determine q so that 3*q**5 + 27*q**4 + 81*q**3 + 69*q**2 - 72*q - 108 = 0.
-3, -2, 1
Determine q, given that 5*q**4/6 - 125*q**3/6 - 70*q**2/3 + 130*q/3 = 0.
-2, 0, 1, 26
Solve -3*p**2 + 87*p + 4290 = 0 for p.
-26, 55
Factor 4*d**2 - 1312*d + 2608.
4*(d - 326)*(d - 2)
Factor 4*a**3 - 44*a**2 + 92*a + 140.
4*(a - 7)*(a - 5)*(a + 1)
Solve 48*h**4/7 - 552*h**3/7 - 285*h**2/7 - 36*h/7 = 0 for h.
-1/4, 0, 12
What is u in 2*u**2/3 + 46*u/3 - 496/3 = 0?
-31, 8
Factor -2*w**3/3 - 50*w**2/3 - 406*w/3 - 1078/3.
-2*(w + 7)**2*(w + 11)/3
Factor -2*x**4/7 - 80*x**3/7 - 874*x**2/7 - 1444*x/7.
-2*x*(x + 2)*(x + 19)**2/7
Find m, given that m**2/4 + 1651*m/4 + 1649/2 = 0.
-1649, -2
Determine o so that -39*o**4/7 - 150*o**3/7 - 15*o**2/7 + 240*o/7 - 36/7 = 0.
-3, -2, 2/13, 1
Solve 3*q**3/5 - 36*q**2/5 = 0.
0, 12
Suppose -33*l**3/2 + 900*l**2 - 2721*l/2 + 477 = 0. What is l?
6/11, 1, 53
Factor 5*i**4 - 40*i**3 + 80*i**2.
5*i**2*(i - 4)**2
Determine i so that -174*i**4/5 + 592*i**3/5 - 214*i**2/5 + 12*i/5 = 0.
0, 2/29, 1/3, 3
Find f such that f**3/3 - 56*f**2 + 659*f/3 - 164 = 0.
1, 3, 164
Factor -2*w**5 + 6*w**4 - 4*w**3.
-2*w**3*(w - 2)*(w - 1)
Solve 4*g**5 - 12*g**4 - 20*g**3 + 12*g**2 + 16*g = 0 for g.
-1, 0, 1, 4
Find c, given that -2*c**3/7 - 978*c**2/7 - 17010*c + 17150 = 0.
-245, 1
Factor 8*n**3 - 76*n**2 + 180*n - 72.
4*(n - 6)*(n - 3)*(2*n - 1)
Determine i so that -i**4/2 + i**3/2 + 3*i**2/2 - i/2 - 1 = 0.
-1, 1, 2
Find u, given that 5*u**4 + 260*u**3 + 250*u**2 - 260*u - 255 = 0.
-51, -1, 1
Suppose 12*t**5 + 44*t**4 - 160*t**2 - 192*t - 64 = 0. What is t?
-2, -1, -2/3, 2
Factor -4*u**4 + 56*u**3 - 192*u**2 + 72*u + 324.
-4*(u - 9)*(u - 3)**2*(u + 1)
Factor -2*a**4/5 - 102*a**3/5 - 294*a**2/5 - 58*a - 96/5.
-2*(a + 1)**3*(a + 48)/5
Suppose -5*q**3 + 25*q**2 - 30*q = 0. What is q?
0, 2, 3
Factor 50*w**4 + 440*w**3 + 678*w**2 + 344*w + 56.
2*(w + 1)*(w + 7)*(5*w + 2)**2
Factor 5*s**2 - 605.
5*(s - 11)*(s + 11)
Factor -4*k**4 + 12*k**3 + 28*k**2 - 60*k - 72.
-4*(k - 3)**2*(k + 1)*(k + 2)
Factor 3*d**2/2 + 147*d + 7203/2.
3*(d + 49)**2/2
Factor c**4 - 34*c**3 + 177*c**2 - 256*c + 112.
(c - 28)*(c - 4)*(c - 1)**2
Suppose -3*c**3 + 45*c**2 + 552*c = 0. Calculate c.
-8, 0, 23
Suppose 2*p**5 + p**4 - 9*p**3 - 4*p**2 + 4*p = 0. What is p?
-2, -1, 0, 1/2, 2
Factor p**2 - 40*p.
p*(p - 40)
Factor -3936818*r**2 + 56120*r - 200.
-2*(1403*r - 10)**2
Find v, given that 2*v**2 + 48*v + 46 = 0.
-23, -1
Solve -c**4/3 + 139*c**3/3 + 1012*c**2/3 + 1460*c/3 = 0.
-5, -2, 0, 146
Solve l**4/5 + 4*l**3/5 - 101*l**2/5 - 336*l/5 + 1728/5 = 0 for l.
-8, 3, 9
Factor -r**3/3 + 10*r**2 - 100*r + 1000/3.
-(r - 10)**3/3
Solve 4*p**5/5 + 84*p**4/5 - 68*p**3/5 - 1284*p**2/5 + 2944*p/5 - 336 = 0.
-21, -5, 1, 2
Factor 2*p**3/5 + 986*p**2/5 + 122016*p/5 + 121032/5.
2*(p + 1)*(p + 246)**2/5
Determine l, given that 7*l**3 - 29*l**2 - 72*l - 36 = 0.
-1, -6/7, 6
Factor -d**4 + 72*d**3 - 1944*d**2 + 23328*d - 104976.
-(d - 18)**4
What is s in 3*s**2 + 30*s = 0?
-10, 0
Factor -h**3/5 - 82*h**2/5 - 448*h - 20384/5.
-(h + 26)*(h + 28)**2/5
Solve -5*o**2 + 2495*o = 0 for o.
0, 499
Factor -5*o**3 - 2725*o**2 - 16215*o - 24255.
-5*(o + 3)**2*(o + 539)
Determine t, given that -128*t**4/5 - 544*t**3 - 594*t**2/5 + 324*t - 378/5 = 0.
-21, -1, 3/8
Factor 9*k**4 - 15*k**3 - 18*k**2 + 24*k.
3*k*(k - 2)*(k - 1)*(3*k + 4)
Suppose -264*s**3 + 2116*s**2 - 24*s - 64 = 0. What is s?
-1/6, 2/11, 8
Solve 3*o**3 + 56*o**2 + 83*o - 34 = 0.
-17, -2, 1/3
Factor 5*u**4/3 + 8*u**3 - 11*u**2/3 - 10*u.
u*(u + 1)*(u + 5)*(5*u - 6)/3
Factor 3*d**3/2 + 275*d**2/2 + 489*d + 440.
(d + 2)*(d + 88)*(3*d + 5)/2
Let 5*n**5/3 + 70*n**4/3 + 185*n**3/3 - 760*n**2/3 - 1820*n/3 + 3920/3 = 0. Calculate n.
-7, -4, 2
Solve -3*x**3 - 171*x**2/2 - 540*x + 2025/2 = 0.
-15, 3/2
Factor -a**4/9 + 22*a**3/3 - 64*a**2/9 - 22*a/3 + 65/9.
-(a - 65)*(a - 1)**2*(a + 1)/9
Determine l so that l**4 +