 of -2/3*d**3 - 1/5*d**6 + 0 + 0*d**2 + 1/2*d**4 - 5/21*d**7 + 7/10*d**5 + 10*d. Let i(g) = 0. What is g?
-1, 0, 2/5, 1
Let l(o) be the first derivative of -3/2*o**2 + 0*o - 11 - 3/4*o**4 + 2*o**3. Find u such that l(u) = 0.
0, 1
Let t be -361*(0 - -1)*-1. Factor 317*v**2 + 36*v**3 + 2*v**4 - 6*v**5 + 16*v - t*v**2 - 6*v**4 + 2*v**5.
-4*v*(v - 1)**3*(v + 4)
Let o(r) be the first derivative of 7 + 1/5*r**2 - 1/3*r**3 + 0*r. Factor o(l).
-l*(5*l - 2)/5
Let b(l) be the second derivative of l**6/75 + l**5/5 - 11*l**4/30 - 275*l. Factor b(p).
2*p**2*(p - 1)*(p + 11)/5
Let c(w) = -7*w**5 - 2*w**4 - 11*w**3 + 4*w**2 + 20*w. Let g(y) = -y**5 - y**3 + 2*y. Let i(a) = -3*c(a) + 24*g(a). Factor i(s).
-3*s*(s - 2)**2*(s + 1)**2
Factor 8/17 + 2/17*w**2 - 8/17*w.
2*(w - 2)**2/17
Let z(p) = 5*p**5 - 2*p**3 + p + 4. Let x(k) be the first derivative of -k**6 + k**4/2 - k**2/2 - 5*k + 45. Let a(s) = -4*x(s) - 5*z(s). What is i in a(i) = 0?
-1, 0, 1
Factor -26/3*l**3 + 266/3*l + 58/3*l**2 - 196 + 2/3*l**4.
2*(l - 7)**2*(l - 2)*(l + 3)/3
Let u(r) = -4*r**2 + 50*r + 2. Let w(q) = q**2 - q - 1. Let m(d) = -u(d) - 2*w(d). Suppose m(g) = 0. Calculate g.
0, 24
Suppose 0 - 3/5*x**3 + 1/5*x**5 - 4/5*x**2 + 4/5*x + 2/5*x**4 = 0. Calculate x.
-2, 0, 1
Suppose -h = 4*g + 739, 2*h + 1453 = 3*g - 6*g. Let z = 10789/15 + h. Factor 0 + z*x - 2/15*x**2.
-2*x*(x - 2)/15
Find q such that 170*q + 155*q**4 - 190*q**3 + 164*q**4 - 475*q**4 - 378*q**4 + 675*q**2 - 141*q**4 + 20*q**5 = 0.
-1, -1/4, 0, 1, 34
Let c(x) = 5*x**5 - 12*x**4 - 78*x**3 - 83*x**2. Let t(y) = -y**5 + 2*y**3 + y**2. Let b(o) = c(o) + 3*t(o). Factor b(j).
2*j**2*(j - 10)*(j + 2)**2
Suppose 1/2*o**3 - 5*o - 4 - 1/2*o**2 = 0. Calculate o.
-2, -1, 4
Suppose 0 = 10*s - 14*s + 4316. Factor s*n - 1079*n + 5*n**3 - 10*n**2.
5*n**2*(n - 2)
Let a = -34 - -44. Factor 59*u + 5*u**3 - 125 + 26*u - a*u + 45*u**2.
5*(u - 1)*(u + 5)**2
Let p be ((-3)/(-63))/(3 + 38/(-14)). Let c(j) be the third derivative of -6*j**2 + 1/48*j**4 - p*j**3 + 0*j + 1/120*j**5 + 0. Factor c(t).
(t - 1)*(t + 2)/2
Let u(w) be the second derivative of 36*w + 0*w**2 + 10/3*w**3 + 0 - 1/3*w**4. Suppose u(v) = 0. What is v?
0, 5
Let i be (4 + -1 + -2)*3. Let g = 1896/5 - 1894/5. Find o, given that 0 - g*o**4 + 0*o + 2/5*o**i + 4/5*o**2 = 0.
-1, 0, 2
Let y(t) = -2*t**4 - 5*t**3 + 7*t**2. Let c(x) = x**4 + 2*x**3 - 3*x**2. Let g(l) = -7*c(l) - 3*y(l). Determine a so that g(a) = 0.
0, 1
Factor -52*s**2 + 298*s**2 + 68*s**3 - 648 - 468*s - 2*s**2 + 4*s**4.
4*(s - 2)*(s + 1)*(s + 9)**2
Let o(w) be the third derivative of w**6/840 + w**5/420 - w**4/28 + 45*w**2 - 3*w. Factor o(x).
x*(x - 2)*(x + 3)/7
Let m(j) be the third derivative of j**10/2016 + j**9/378 + j**8/192 + j**7/252 - 5*j**4/24 + 6*j**2. Let r(p) be the second derivative of m(p). Factor r(s).
5*s**2*(s + 1)**2*(3*s + 2)
Determine v so that 10/3*v - 7*v**2 + 25/2 + 2*v**3 - 1/6*v**4 = 0.
-1, 3, 5
Let u(y) be the second derivative of -y**4/30 + y**3/5 + 2*y**2 + 30*y - 3. Determine s so that u(s) = 0.
-2, 5
Let g(o) be the second derivative of 3*o**2 - 17*o + 3/10*o**6 - 5/4*o**4 - 1/2*o**3 + 3/20*o**5 + 0. Suppose g(c) = 0. What is c?
-1, 2/3, 1
Let n(i) = 83*i + 5068. Let k be n(-61). Factor -5/4*l**3 - 5*l + 0 - k*l**2.
-5*l*(l + 2)**2/4
Let x(b) be the second derivative of b**4/36 + b**3/2 + 4*b**2/3 + 6*b - 34. Determine f, given that x(f) = 0.
-8, -1
Determine f so that 5*f**5 + 365*f**2 + 55*f**4 - 29 + 215*f**3 + 94*f + 109 + 91*f + 95*f = 0.
-4, -1
Let s(u) = u**3 + 4*u**2 - 34*u - 16. Let y be s(-8). Let 20/3*i - 8/3 - 20/3*i**3 + 8/3*i**4 + y*i**2 = 0. Calculate i.
-1, 1/2, 1, 2
Let o(d) be the second derivative of -d**7/3780 - d**6/810 + d**5/135 + 2*d**4/27 + 4*d**3/3 + 21*d. Let q(h) be the second derivative of o(h). Factor q(g).
-2*(g - 2)*(g + 2)**2/9
Let h be 20 - 17 - 14*(-5)/(-50). Factor -18*u**2 + 162/5*u**3 - 64/5*u - h.
2*(u - 1)*(9*u + 2)**2/5
Suppose -4*o + 30 = -26. Solve 9*x - 6*x**3 + x**3 + 11*x - 5*x**2 + o + 6 = 0 for x.
-2, -1, 2
Let f be 6*(7/3 + 1). Suppose -4*o - 12*o**5 - 14*o**5 - f*o**2 + 2*o**5 - 3*o**3 + 47*o**4 + 4*o**5 = 0. What is o?
-2/5, -1/4, 0, 1, 2
Let y(h) be the first derivative of 8/7*h**2 + 7 + 1/14*h**4 + 10/21*h**3 + 8/7*h. Suppose y(o) = 0. Calculate o.
-2, -1
Let t(i) be the third derivative of -5*i**8/336 + i**6/12 - 5*i**4/24 + 239*i**2 - 1. Determine o, given that t(o) = 0.
-1, 0, 1
Let x(o) be the second derivative of 0 + 6*o + 3/2*o**3 - 3/8*o**4 + 3/80*o**5 - 3*o**2. Factor x(a).
3*(a - 2)**3/4
Let h(p) be the second derivative of -3*p**5/140 - 4*p**4/7 + 55*p**3/14 - 57*p**2/7 + 103*p. Let h(d) = 0. What is d?
-19, 1, 2
Factor 24 - 2/3*y**3 + 64/3*y + 10/3*y**2.
-2*(y - 9)*(y + 2)**2/3
Let q(h) = -7*h**2 - 7*h + 4. Let p(d) = 1. Let c(u) = -4*p(u) + q(u). Let j(v) = 4*v**2 + 4*v. Let s(l) = -6*c(l) - 10*j(l). Factor s(z).
2*z*(z + 1)
Let d(o) be the second derivative of o**4/48 - 15*o**3/4 - 91*o**2/8 + o + 108. Suppose d(n) = 0. What is n?
-1, 91
Suppose 3*m - 8 = 1. What is t in 9*t**3 - 13*t**m + 4*t**3 - 4*t**4 = 0?
0
Let r(o) be the second derivative of -o**7/5040 + o**3/3 + 3*o. Let d(x) be the second derivative of r(x). Factor d(y).
-y**3/6
Let s = 1525/28 - 376/7. Determine u so that -s*u**3 + 1/4*u**2 - 1/2 + 1/4*u**4 + 3/4*u = 0.
-1, 1, 2
Factor 6/7 - 3/7*b**2 + b + 1/7*b**4 - 3/7*b**3.
(b - 3)*(b - 2)*(b + 1)**2/7
Let n(f) be the second derivative of 1/20*f**5 + 0 - 1/2*f**3 + f**2 + 0*f**4 - 15*f. Solve n(d) = 0.
-2, 1
Let i(l) = 3*l - 3. Let k be i(2). Suppose -5*o + 10 = 4*r, -k*o = -o - r - 4. Factor -3/2 + 3*m - 3/2*m**o.
-3*(m - 1)**2/2
Let v(l) = -l**2 + 29*l + 32. Let u be v(30). Let n(d) be the third derivative of d**3 - 1/30*d**5 + 0*d - 7*d**u + 1/6*d**4 + 0. Suppose n(f) = 0. What is f?
-1, 3
Let k(b) = 2*b**3 + 6*b**2 - 6*b. Let z(q) = -q**2 - 100*q - 95*q + 196*q. Let t(j) = -k(j) - 6*z(j). Let t(x) = 0. Calculate x.
0
Factor 0 - 3/5*h**2 + 3/5*h.
-3*h*(h - 1)/5
Let f(v) be the third derivative of v**7/1260 - v**5/180 + v**3/36 - 6*v**2 + 3*v. Factor f(m).
(m - 1)**2*(m + 1)**2/6
What is y in 8 - 7*y**2 + 7/2*y**3 + 1/4*y**4 - 1/4*y**5 - 2*y = 0?
-4, -1, 2
Let v(k) be the first derivative of 2*k**3/21 + 61*k**2/7 + 120*k/7 - 339. Find r, given that v(r) = 0.
-60, -1
Let w(n) be the third derivative of n**7/105 - n**6/15 + 2*n**5/15 - 36*n**2 + n. What is j in w(j) = 0?
0, 2
Let r(p) be the first derivative of p**6/810 + p**5/54 - 2*p**3/3 + 1. Let j(f) be the third derivative of r(f). Factor j(o).
4*o*(o + 5)/9
Factor -2*j - 8 + 8*j**2 - 5/2*j**3.
-(j - 2)**2*(5*j + 4)/2
Let y(g) = -8*g**2 - 13*g + 11. Let c(b) = 5*b**2 + 7*b - 6. Let p(h) = -5*c(h) - 3*y(h). Solve p(d) = 0 for d.
1, 3
Suppose 8*x - 11*x + 21 = 0. Suppose -l - 2 = -4*n, 4*l = -n + 2*n + x. Factor -16*k - 2*k**2 + 4*k**2 - 5*k**l - k**2 - 16.
-4*(k + 2)**2
Suppose -20/3 - 2/15*o**4 + 14/15*o**3 - 22/3*o + 2/5*o**2 = 0. What is o?
-2, -1, 5
Let p be (-9)/(-6)*(2 - 4). Let f be (-126)/27*(-1 + -3 - p). Factor 4/3 + 10/3*l**2 - f*l.
2*(l - 1)*(5*l - 2)/3
Let b(y) be the first derivative of y**5/10 + y**4 + 7*y**3/2 + 11*y**2/2 + 4*y + 51. Factor b(u).
(u + 1)**2*(u + 2)*(u + 4)/2
Let d(h) be the third derivative of -h**8/336 - 13*h**7/210 - 19*h**6/120 + 29*h**5/12 - 22*h**4/3 + 32*h**3/3 + 4*h**2 - 6. Let d(m) = 0. Calculate m.
-8, 1
Factor 6 + 7*v**2 - 13*v**2 - 13*v + 9 - 14*v**2.
-(4*v + 5)*(5*v - 3)
Let -64*i**2 - 7 - 70*i**2 - 5*i**3 + 5*i - i**4 + 149*i**2 - 7 = 0. Calculate i.
-7, -1, 1, 2
Let x(l) be the first derivative of -3*l**4/32 + 13*l**3/8 + 87*l**2/16 + 45*l/8 - 496. Solve x(n) = 0.
-1, 15
Let c(a) be the third derivative of -a**8/560 - a**7/50 - 3*a**6/100 + 8*a**5/25 + 4*a**4/5 - 55*a**2. Suppose c(b) = 0. Calculate b.
-4, -1, 0, 2
Let k(b) be the second derivative of 5/12*b**4 - 10/3*b**3 - 25/2*b**2 + 34*b + 0. Solve k(d) = 0 for d.
-1, 5
Let d(s) be the first derivative of 13 - 15/2*s**2 + 27/16*s**4 - 3/2*s**3 - 6*s. Factor d(l).
3*(l - 2)*(3*l + 2)**2/4
Let k be -15 - (799/(-68) - 5). Factor 1 - 3*t - 9/4*t**2 + k*t**3.
(t - 2)*(t + 1)*(7*t - 2)/4
Let c(d) be the third derivative of d**8/168 - d**7/35 - d**6/60 + d**5/10 - 19*d**2 - 3*d. Factor c(v).
2*v**2*(v - 3)*(v - 1)*(v + 1)
Let v be (-2)/5 - (-290)/(-25). Let b = v 