 153*a**2 - 87*a + 12.
3*(a - 4)*(a - 1)**2*(5*a - 1)
Solve 3*a**2 + 186*a = 0 for a.
-62, 0
Factor 4*d**2 - 208*d.
4*d*(d - 52)
Find c such that 7*c**4/2 - 75*c**3/2 + 111*c**2/2 - 25*c/2 - 9 = 0.
-2/7, 1, 9
Suppose 26*j**2 - 77*j - 3 = 0. Calculate j.
-1/26, 3
Solve -3*o**2/4 + 21*o/4 + 735 = 0.
-28, 35
Solve -2*u**4/9 + 16*u**3/9 - 8*u**2/3 = 0 for u.
0, 2, 6
Factor s**4/7 - s**3 + 6*s**2/7.
s**2*(s - 6)*(s - 1)/7
Factor 5*s**4 - 65*s**3 + 200*s**2.
5*s**2*(s - 8)*(s - 5)
Find b, given that -2*b**4 + 82*b**3 + 272*b**2 - 352*b = 0.
-4, 0, 1, 44
Factor 2*j**4/5 + 8*j**3 + 234*j**2/5 + 396*j/5.
2*j*(j + 3)*(j + 6)*(j + 11)/5
Determine v so that 16*v**2/3 - 45*v/2 + 14/3 = 0.
7/32, 4
Find c such that 2*c**4/15 + 11668*c**3/15 + 5668702*c**2/5 - 34047224*c/15 + 17029448/15 = 0.
-2918, 1
Find j, given that -2*j**3 + 40*j**2 - 266*j + 588 = 0.
6, 7
Let -2*j**3 - 24*j**2 + 138*j + 160 = 0. Calculate j.
-16, -1, 5
Factor -3*h**3/7 + 32*h**2/7 - 60*h/7 - 144/7.
-(h - 6)**2*(3*h + 4)/7
Find n such that 2*n**2/3 - 80*n/3 - 150 = 0.
-5, 45
Factor 5*v**5 - 20*v**4 - 25*v**3.
5*v**3*(v - 5)*(v + 1)
Find n such that n**5 - 11*n**4 + 42*n**3 - 70*n**2 + 53*n - 15 = 0.
1, 3, 5
Let -3*g**3 - 15*g**2 + 3*g + 15 = 0. What is g?
-5, -1, 1
Suppose -20*q**3/3 + 15*q**2 + 50*q - 40/3 = 0. Calculate q.
-2, 1/4, 4
Factor -24*b**3/5 - 15*b**2 - 9*b/5.
-3*b*(b + 3)*(8*b + 1)/5
Factor 4*z**5 - 48*z**4 + 108*z**3 + 160*z**2.
4*z**2*(z - 8)*(z - 5)*(z + 1)
Find u, given that -3*u**5 + 3*u**4 + 108*u**3 - 12*u**2 - 672*u + 576 = 0.
-4, 1, 2, 6
Factor -5*f**3/4 - 1785*f**2/4 - 3510*f - 6980.
-5*(f + 4)**2*(f + 349)/4
Let -2*v**3 + 1612*v**2 + 3230*v + 1616 = 0. What is v?
-1, 808
Determine f, given that 3*f**4 + 9*f**3 - 9*f**2 - 33*f - 18 = 0.
-3, -1, 2
Factor 16*l**5/7 - 4*l**4 + 8*l**3/7 + 4*l**2/7.
4*l**2*(l - 1)**2*(4*l + 1)/7
Find k such that 4*k**4 - 28*k**3 + 8*k**2 + 112*k - 96 = 0.
-2, 1, 2, 6
Find b, given that 2*b**3/13 - 404*b**2/13 + 402*b/13 = 0.
0, 1, 201
Factor 4*b**2/7 - 100*b/7.
4*b*(b - 25)/7
Suppose 4*z**4 + 384*z**3 + 13824*z**2 + 221184*z + 1327104 = 0. What is z?
-24
Determine t, given that -5*t**2 + 17875*t + 17880 = 0.
-1, 3576
Let -2*m**4 - 8*m**3 + 96*m**2 - 224*m + 160 = 0. What is m?
-10, 2
Suppose -p**5/4 + 43*p**4/4 - 41*p**3/2 - p**2/2 + 83*p/4 - 41/4 = 0. Calculate p.
-1, 1, 41
Let 3*y**4 - 84*y**3 - 87*y**2 = 0. Calculate y.
-1, 0, 29
Factor b**3/2 + 65*b**2/2.
b**2*(b + 65)/2
Let 12*k**3 + 148*k**2 + 288*k + 80 = 0. What is k?
-10, -2, -1/3
Determine x, given that 2*x**2/7 + 78*x/7 - 540/7 = 0.
-45, 6
Find a, given that -7*a**4 - 849*a**3 + 612*a**2 + 244*a = 0.
-122, -2/7, 0, 1
Find u such that -14*u**4/5 - 682*u**3/5 - 1708*u**2 - 5568*u/5 + 2304/5 = 0.
-24, -1, 2/7
Factor -108*k**2 + 2412*k - 13467.
-3*(6*k - 67)**2
Factor -a**4 - 13*a**3 - 33*a**2 - 31*a - 10.
-(a + 1)**3*(a + 10)
Let -l**5 + 2*l**3 - l = 0. Calculate l.
-1, 0, 1
Find f, given that 2*f**5 - 21*f**4 + 23*f**3 + 159*f**2 + 155*f + 42 = 0.
-1, -1/2, 6, 7
Determine a, given that 4*a**4 + 212*a**3 + 988*a**2 + 1356*a + 576 = 0.
-48, -3, -1
Determine a, given that -3*a**3/7 + 177*a**2/7 + 180*a/7 = 0.
-1, 0, 60
Factor 28*m**3 - 8*m**2 - 28*m + 8.
4*(m - 1)*(m + 1)*(7*m - 2)
Find p such that 6*p**5/5 - 12*p**4/5 - 24*p**3/5 + 48*p**2/5 = 0.
-2, 0, 2
Let -3*w**4 - 402*w**3 - 13863*w**2 - 26532*w - 13068 = 0. Calculate w.
-66, -1
Factor -a**3/4 + 4155*a**2/4 - 5754675*a/4 + 2656741625/4.
-(a - 1385)**3/4
Find m such that -405*m**5 + 7920*m**4 + 20995*m**3 + 17050*m**2 + 4820*m + 440 = 0.
-1, -2/9, 22
Find z such that -2*z**4/3 + 24*z**3 - 548*z**2/3 - 24*z + 550/3 = 0.
-1, 1, 11, 25
Factor -7*n**4 - 13*n**3 - 6*n**2.
-n**2*(n + 1)*(7*n + 6)
Solve 2*r**2/3 + 2662*r/3 - 5332/3 = 0.
-1333, 2
Solve -40*o**2 + 34*o + 6 = 0 for o.
-3/20, 1
Factor -2*i**5/5 + 16*i**4 - 874*i**3/5 + 1444*i**2/5.
-2*i**2*(i - 19)**2*(i - 2)/5
Solve 9*t**4 - 444*t**3 + 2724*t**2 + 2016*t = 0 for t.
-2/3, 0, 8, 42
Find r, given that 4*r**5 - 1008*r**4 - 3056*r**3 - 1032*r**2 + 3052*r + 2040 = 0.
-2, -1, 1, 255
Solve 3*l**3/2 + 255*l**2/2 - 528*l + 534 = 0.
-89, 2
Suppose 4*j**2/7 + 1696*j/7 + 179776/7 = 0. Calculate j.
-212
Solve 2*o**5/3 - 74*o**4/3 + 566*o**3/3 + 2162*o**2/3 + 2320*o/3 + 800/3 = 0 for o.
-1, 20
Factor s**3/6 - 2*s**2/3 - 2*s.
s*(s - 6)*(s + 2)/6
Let 2*t**4/3 - 4*t**3/3 - 2*t**2/3 + 4*t/3 = 0. Calculate t.
-1, 0, 1, 2
Find n, given that -n**2 + 76*n - 75 = 0.
1, 75
Factor 2*w**4 + 496*w**3 + 46128*w**2 + 1906624*w + 29552672.
2*(w + 62)**4
Determine r so that -2*r**3/11 - 8*r**2/11 - 10*r/11 - 4/11 = 0.
-2, -1
Factor -4*z**4 + 32*z**3 - 69*z**2 + 47*z - 10.
-(z - 5)*(z - 2)*(2*z - 1)**2
Factor p**3 - 670*p**2 - 2019*p.
p*(p - 673)*(p + 3)
Determine m so that m**4/9 - 35*m**3/3 + 2701*m**2/9 + 1007*m/3 - 5618/9 = 0.
-2, 1, 53
Let -4*l**4 - 376*l**3 - 8836*l**2 = 0. What is l?
-47, 0
Factor 15*n**3 + 3*n**2 - 12*n.
3*n*(n + 1)*(5*n - 4)
Find p such that 4*p**3 - 32*p**2 - 16*p + 128 = 0.
-2, 2, 8
Find v, given that 2*v**3 - 110*v**2 - 482*v + 590 = 0.
-5, 1, 59
Factor 49*f**4/4 + 5565*f**3/2 + 638353*f**2/4 + 179670*f + 51076.
(f + 113)**2*(7*f + 4)**2/4
Solve g**2/2 - 97*g/2 - 202 = 0.
-4, 101
Factor -6*p**3/5 - 173*p**2/5 - 1316*p/5 - 196.
-(p + 14)**2*(6*p + 5)/5
Find c, given that -2*c**3/7 - 36*c**2/7 + 146*c/7 + 60 = 0.
-21, -2, 5
Factor -5*q**3 + 80*q**2 - 205*q + 130.
-5*(q - 13)*(q - 2)*(q - 1)
Factor r**5/5 - 21*r**4/5 + 104*r**3/5 + 128*r**2/5 - 384*r + 3328/5.
(r - 13)*(r - 4)**3*(r + 4)/5
Let -3*j**5/2 - 5*j**4/4 + 19*j**3/4 + 3*j**2/4 - 13*j/4 + 1/2 = 0. Calculate j.
-2, -1, 1/6, 1
Determine y, given that 21*y**2 + 314*y/5 - 3/5 = 0.
-3, 1/105
Suppose 3*c**5/4 - 3*c**4/4 - 471*c**3/4 + 3*c**2/4 + 117*c = 0. What is c?
-12, -1, 0, 1, 13
Factor 8*y**3/5 + y**2/5 - 8*y/5 - 1/5.
(y - 1)*(y + 1)*(8*y + 1)/5
Factor 4*t**4 + 32*t**3 + 52*t**2 - 120*t - 288.
4*(t - 2)*(t + 3)**2*(t + 4)
Factor -2*w**3/9 + 10*w**2/9 + 32*w/3 - 56.
-2*(w - 6)**2*(w + 7)/9
What is j in -3*j**5 - 12*j**4 + 12*j**3 + 66*j**2 - 9*j - 54 = 0?
-3, -1, 1, 2
Solve 3*v**5 - 27*v**4 + 42*v**3 + 6*v**2 - 45*v + 21 = 0.
-1, 1, 7
Factor 2*p**5 + 14*p**4.
2*p**4*(p + 7)
What is b in -50*b**3 - 105*b**2 + 50*b = 0?
-5/2, 0, 2/5
Factor -4*l**3 + 24*l**2 + 124*l - 144.
-4*(l - 9)*(l - 1)*(l + 4)
Suppose -2*j**3 + 32*j**2 - 30*j = 0. Calculate j.
0, 1, 15
Solve -2*t**2 + 934*t - 4620 = 0 for t.
5, 462
Suppose -2*b**3/5 + 38*b**2/5 + 8*b/5 - 152/5 = 0. What is b?
-2, 2, 19
Factor 4*g**5/3 - 28*g**4/3 + 32*g**3/3 + 64*g**2/3.
4*g**2*(g - 4)**2*(g + 1)/3
Find g such that 5*g**3 - 20*g**2 - 220*g + 480 = 0.
-6, 2, 8
Factor 2*b**4/7 + 2516*b**3/7 + 150840*b**2 + 148173484*b/7 + 147120118/7.
2*(b + 1)*(b + 419)**3/7
Factor -t**4/3 - 3*t**3 + 12*t**2 + 256*t/3 - 256.
-(t - 4)*(t - 3)*(t + 8)**2/3
Factor 3*s**2/7 + 17*s - 40/7.
(s + 40)*(3*s - 1)/7
Find x, given that 4*x**4/3 + 20*x**3/3 - 24*x**2 - 512*x/3 - 640/3 = 0.
-4, -2, 5
Suppose m**2 + 506*m = 0. Calculate m.
-506, 0
Find h, given that -10*h**2 + 865*h - 430 = 0.
1/2, 86
Solve -2*y**3 + 4*y**2 + 6*y = 0.
-1, 0, 3
Suppose -v**2 - 464*v - 53824 = 0. What is v?
-232
Let 16*h**5 + 2612*h**4 + 121852*h**3 + 1200300*h**2 + 292500*h = 0. What is h?
-75, -13, -1/4, 0
Solve 156*u**2 + 477*u + 27 = 0.
-3, -3/52
Factor -a**2 - 281*a - 558.
-(a + 2)*(a + 279)
Determine v so that v**4/2 - v**3/2 - 13*v**2 + 42*v - 36 = 0.
-6, 2, 3
Solve -l**2/4 + 1483*l/2 - 2199289/4 = 0.
1483
Solve 12*r**5/7 - 684*r**4/7 + 8235*r**3/7 + 44652*r**2/7 = 0.
-4, 0, 61/2
Determine t, given that 27*t**4 + 2880*t**3 + 115200*t**2 + 2048000*t + 40960000/3 = 0.
-80/3
Suppose -529*b**2/2 + 138*b - 18 = 0. What is b?
6/23
Factor j**4 + 47*j**3 - 489*j**2 + 865*j + 1400.
(j - 5)**2*(j + 1)*(j + 56)
Factor b**2/3 - 14*b/3 + 11.
(b - 11)*(b - 3)/3
Suppose -125*g**4 + 8525*g**3 - 1620*g**2 - 5420*g - 1360 = 0. What is g?
-2/5, 1, 68
Suppose -5*v**4 + 15*v**3 + 140*v**2 = 0. What is v?
-4, 0, 7
Find j such that -2*j**4 - 14*j**3 + 138*j**2 - 234*j = 0.
-13, 0, 3
Let 3*b**4 - 33*b**3 + 78*b**2 - 48*b = 0. What is b?
0, 1, 2, 8
Factor 3*g**3 - 72*g**2 + 252*g - 240.
3*(g - 20)*(g - 2)**2
What is y in -y**4/5 + 11*y**3/5 - 42*y**2/5 + 68*y/5 - 8 = 0?
2, 5
Solve a**5 - 26*a**4 - 55*a**3 - 28*a**2 = 0.
-1, 0, 2