**4 + 81*x**i + 75*x + 40*x**3 + 5*x = 0. Calculate x.
-4, -2, 0
Let m = -1491127/8 - -186391. Let m - 1/8*p**4 + 1/4*p**3 - 1/4*p + 0*p**2 = 0. Calculate p.
-1, 1
Let w(a) be the second derivative of -a**4/48 + 127*a**3/4 - 145161*a**2/8 + a - 27. Factor w(j).
-(j - 381)**2/4
Let p(s) be the second derivative of -186*s + 1/30*s**5 + 0 - 26/3*s**2 - 17/3*s**3 - 4/3*s**4. Let p(d) = 0. Calculate d.
-1, 26
Let a(t) = -15*t**2 + 3200*t + 30. Let c(q) = -17*q**2 + 3201*q + 36. Let k(s) = -6*a(s) + 5*c(s). Factor k(h).
5*h*(h - 639)
Let f(g) be the second derivative of -g**7/42 + g**6/3 + 5*g**5/2 + 20*g**4/3 + 55*g**3/6 + 7*g**2 - 6047*g. Factor f(v).
-(v - 14)*(v + 1)**4
Let s(t) be the third derivative of t**5/210 + 170*t**4/7 + 346800*t**3/7 - 28*t**2 + 27. What is z in s(z) = 0?
-1020
Let o = 61/130 + 3197/390. Solve -24 - o*h**2 - 32*h - 2/3*h**3 = 0 for h.
-6, -1
Suppose -1260*z = -889*z - 1855. Find g, given that 9*g**4 + 27/2*g**3 + 0*g + 3/2*g**z + 6*g**2 + 0 = 0.
-4, -1, 0
Let c(x) be the first derivative of x**4/22 + 50*x**3/33 + 2*x**2 - 96*x/11 + 6400. Factor c(z).
2*(z - 1)*(z + 2)*(z + 24)/11
Let a = 470 + -467. Factor 16*k**a + 3730 + 3522*k**2 - 530 - 180*k**3 - 6560*k + 2*k**4.
2*(k - 40)**2*(k - 1)**2
Suppose -3*r - 108 = -3*y, 14*r - 40 = -y + 16*r. What is w in 35 - 53*w**3 - 6*w**2 + 65*w**3 - 11 + 2*w**4 - y*w = 0?
-6, -2, 1
Let u(w) be the third derivative of -w**5/420 - 71*w**4/84 - 10*w**2 - 58. Factor u(g).
-g*(g + 142)/7
Let l = 30121/20 + -1506. Let a(c) be the third derivative of -1/40*c**6 + 0*c + 1/8*c**4 + 1/2*c**3 + 0 - l*c**5 + 23*c**2. Factor a(j).
-3*(j - 1)*(j + 1)**2
Let y(z) be the second derivative of 10/7*z**2 - 1/3*z**3 + 58*z + 0 + 1/42*z**4. What is m in y(m) = 0?
2, 5
Factor 38722*q**2 - 775 - 18560*q**2 - 5*q**3 - 19387*q**2 + 5*q.
-5*(q - 155)*(q - 1)*(q + 1)
Let k(y) = 79*y - 44*y - 36*y - 1 - y**3. Let p(m) = 21*m**3 - 39*m**2 + 123*m + 165. Let g(h) = -18*k(h) - p(h). Factor g(f).
-3*(f - 7)**2*(f + 1)
Let t = -839 - -871. Suppose -5*u - 27 + 147 = 0. Factor -6*o**2 - u*o - t - 1/2*o**3.
-(o + 4)**3/2
Factor -6*m**3 - 400*m + 461*m + 3*m**5 + 8*m**4 - 40*m**2 - 7 - 5 - 2*m**5 - 12.
(m - 1)**3*(m + 3)*(m + 8)
Factor 61 - 36*r + 110 + 9 - 4*r**2 - 12*r.
-4*(r - 3)*(r + 15)
Let q(n) be the first derivative of -n**4/4 - 11*n**3 + 54*n**2 + 3159. Find w, given that q(w) = 0.
-36, 0, 3
Let g = -1273902 - -1274071. Solve 1/4*b**2 + g - 13*b = 0.
26
Suppose -12407 + 12407 = 1241*c. Let 4/3*x**4 - 2/3*x**5 + 0 + 14/3*x**3 + c*x + 8/3*x**2 = 0. What is x?
-1, 0, 4
Suppose -3*r - 14 = -4*u, -22 = -23*r + 22*r - 4*u. Find f, given that 6 + 38/3*f**r - 2*f**3 - 22*f = 0.
1/3, 3
Let o be (-19)/(-133) - (-2)/(-14). Suppose -29*u = -23*u + 8 - 20. Determine a, given that 2/5*a**4 + 0 + 6/5*a**3 + o*a**u + 0*a = 0.
-3, 0
Let s(l) be the third derivative of -l**6/1020 + 52*l**5/255 + 545*l**4/204 + 5*l**2. Factor s(z).
-2*z*(z - 109)*(z + 5)/17
Factor 2/9*k**3 + 1802/3*k + 5618/9 - 70/3*k**2.
2*(k - 53)**2*(k + 1)/9
Let h(m) be the third derivative of m**5/60 - 23*m**4/4 - 139*m**3/6 - 576*m**2. What is r in h(r) = 0?
-1, 139
Let m(d) be the first derivative of 88 - 1/24*d**4 + 7/12*d**2 + 0*d**3 - d. Let m(n) = 0. Calculate n.
-3, 1, 2
Suppose 288*i = 290*i - 40. Factor -24 + i*b**2 + 21*b - 7*b + 6*b - 56 - 5*b**3.
-5*(b - 4)*(b - 2)*(b + 2)
Suppose -45*y - 32 = -122. Let z(s) be the first derivative of 1/2*s**6 - 7/5*s**5 + 0*s - 1/3*s**3 - 2 + 5/4*s**4 + 0*s**y. Factor z(r).
r**2*(r - 1)**2*(3*r - 1)
What is l in 416*l - 4*l**2 - 728*l**3 + 340*l**4 + 8*l**2 - 16*l**2 - 4*l**2 - 12*l**5 + 0*l**2 = 0?
-2/3, 0, 1, 2, 26
Let k(v) = 4*v**4 - 88*v**3 + 80*v**2 - 52*v + 16. Let n(d) = 27*d**2 + 48*d**3 + 3*d - 77*d**3 - 20*d + 5 + 2*d**4. Let i(g) = -3*k(g) + 10*n(g). Factor i(j).
2*(j - 1)**3*(4*j - 1)
Suppose 74*p = -8071 + 68751. Let t = p + -820. Determine g so that -8/7*g**3 - 2/7*g**4 + 0*g + t - 6/7*g**2 = 0.
-3, -1, 0
Suppose -41*m + 8 = -40*m - s, 32 = 3*m - 4*s. Let q = -8 + 11. Find x, given that 3/2*x**5 - 6*x**4 + 0*x**2 + 0 + m*x + 6*x**q = 0.
0, 2
Let f be ((-728)/44954)/((-6)/169). Let k(x) be the first derivative of -2/95*x**5 + 12/19*x**2 + 51 - f*x**3 + 3/19*x**4 - 8/19*x. Solve k(c) = 0 for c.
1, 2
Let x(r) = r**2 + 14*r - 54. Let m(t) = 2*t**2 + 8*t - 57. Let u(a) = 4*m(a) - 6*x(a). Find p such that u(p) = 0.
2, 24
Let h(y) be the second derivative of y**6/20 - 123*y**5/80 - 21*y**4/16 - 1067*y. Factor h(i).
3*i**2*(i - 21)*(2*i + 1)/4
Let u(i) be the first derivative of i**4/26 - 100*i**3/39 + 179*i**2/13 + 460*i/13 - 2912. Let u(n) = 0. What is n?
-1, 5, 46
Let b(t) be the first derivative of 1/9*t**4 - 16 - 1/90*t**6 + 1/18*t**5 + 0*t**2 + 0*t - 4/3*t**3. Let m(d) be the third derivative of b(d). Factor m(s).
-4*(s - 2)*(3*s + 1)/3
Let x(c) = -15*c + 660. Let s be x(44). Let z(j) be the third derivative of 0*j**3 + 0*j + 0 + s*j**4 - 1/140*j**5 + 11*j**2. Factor z(g).
-3*g**2/7
Let x be 32 + -29*(-48)/(-44). Determine q, given that 0 + x*q**3 - 4/11*q + 6/11*q**2 = 0.
-2, 0, 1/2
Suppose 2*m - 8 = 3*d, 3*d - 2*d = -5*m + 20. Suppose d*q - 4*q = -16. Factor -3 + q*k**3 - 9*k**3 - 15*k**2 - 2 - 15*k.
-5*(k + 1)**3
Let n = -595019/15 + 39668. Let u(y) be the third derivative of 0 + 4/3*y**3 + 45*y**2 - 1/6*y**4 - n*y**5 + 0*y. Solve u(k) = 0 for k.
-2, 1
Let s(u) be the third derivative of 3*u + 0 + 115/24*u**4 - 5*u**2 - 2/3*u**5 + 5/2*u**3. Factor s(x).
-5*(x - 3)*(8*x + 1)
Let i = -184074 + 184076. Factor 15*v**i - 1/5*v**4 + 26/5 + 77/5*v + 23/5*v**3.
-(v - 26)*(v + 1)**3/5
Find t such that -1/5*t**3 + 6/5 + 0*t**2 + 7/5*t = 0.
-2, -1, 3
Suppose -w = 3*s - 21, 713*s + 33 = 716*s - 3*w. Let k(h) be the first derivative of s + 8*h**2 - 23/3*h**3 - 3/5*h**5 - 4*h + 7/2*h**4. Solve k(a) = 0.
2/3, 1, 2
Suppose 68*t + 89*t = -107*t + 792. Find k, given that -10/9*k**2 + 16/9 - 4/9*k - 2/9*k**t = 0.
-4, -2, 1
Let n be -2*14/(-18) + 12/864*-16. Factor -p**2 - 1/3*p**3 + n + 0*p.
-(p - 1)*(p + 2)**2/3
Let d(o) = o**2 - 2*o - 1. Suppose 90 = -53*b + 62*b. Let w(u) = 8*u**2 - 100*u - 810. Let v(y) = b*d(y) - w(y). Factor v(g).
2*(g + 20)**2
What is s in 1266/11*s**2 + 0 - 1264/11*s - 2/11*s**3 = 0?
0, 1, 632
Let x(g) be the third derivative of g**7/1260 + 29*g**6/360 + 7*g**5/15 - 15*g**4/8 - 38*g**2. Let v(o) be the second derivative of x(o). Solve v(y) = 0.
-28, -1
Suppose 2*u - 1986 = -4*t, u + 330 = 5*t - 2163. Let m = 501 - t. Let 0 - 1/2*h**4 - 1/2*h**2 - h**m + 0*h = 0. What is h?
-1, 0
Let p(a) be the first derivative of -2*a**3/21 - 118*a**2/7 - 6962*a/7 + 1495. Determine s, given that p(s) = 0.
-59
Let f(t) be the third derivative of 3/2*t**4 - 1/5*t**5 + 0*t - 11/120*t**6 + 0*t**3 + 1/336*t**8 + 84 - 2*t**2 + 1/105*t**7. Factor f(n).
n*(n - 2)**2*(n + 3)**2
Suppose 15*k - 19*k - 8 = -s, -2*k = -s + 4. Let 11/7*l - 1/7*l**2 + s = 0. Calculate l.
0, 11
Let y(h) be the second derivative of -h**4/12 + 2*h**3 - 9*h**2/2 + 14*h. Let m be y(11). Determine f so that -2*f**3 - f**3 + 5*f**3 + 0*f + m*f + 4*f**2 = 0.
-1, 0
Let m = 1182 - 3344/3. Let a = 212/3 - m. Factor a*x**2 + 0 + 2/3*x + 8/3*x**3.
2*x*(x + 1)*(4*x + 1)/3
Let r(q) = 13*q**2 + 260*q - 4992. Let m be r(-32). Determine o so that 3/5*o**3 + 1/5*o**4 + 0 - 2*o**2 + m*o = 0.
-5, 0, 2
Let u(f) be the second derivative of -f**4/4 + 12*f**3 - 405*f**2/2 - 14*f + 7. Factor u(q).
-3*(q - 15)*(q - 9)
Let i be 18/21*(19/6 + 10/(-12)). Let n be (-1)/3 + (-4)/(-6). Factor 1/3*q**4 + 1/6*q**5 + 0 + 0*q - 1/6*q**3 - n*q**i.
q**2*(q - 1)*(q + 1)*(q + 2)/6
Suppose x = 62 + 103. Find y, given that -54*y + 6 + 179 + 3*y**2 + x - 107 = 0.
9
Determine s, given that -350*s**2 + 1/3*s**4 - 1052/3*s - 117 - 116*s**3 = 0.
-1, 351
Let z(t) = 2*t**4 - 104*t**3 + 336*t**2 - 346*t + 116. Let c(w) = -3*w**4 + w. Let l(o) = -2*c(o) - z(o). Factor l(p).
4*(p - 1)**3*(p + 29)
Let w(o) be the third derivative of 3*o**5/200 - 253*o**4/40 + 64009*o**3/60 - 4287*o**2. Factor w(k).
(3*k - 253)**2/10
Factor -402093 - 5*s**2 + s**2 + 2669 + 2528*s.
-4*(s - 316)**2
Let r = 257 - 245. Let -r*f**2 + 35 - 12*f + 9*f**2 + f**2 + 37 + 2*f = 0. Calculate f.
-9, 4
Let m be ((-231)/(-66))/(21/78). Let y(s) be the first derivative of -6*s**2 + 13 - 15/4*s**4 + 12*s - m*s**3. Find