2*x**2 + 12*x**4 + x**6 - 12*x**4 + 5. What is the second derivative of t(r) wrt r?
120*r**3
Let m(k) be the first derivative of -18*k**5/5 - 22*k + 8. What is the first derivative of m(x) wrt x?
-72*x**3
Let b be 12/(-2)*(-76)/114. Let u(y) be the third derivative of y**2 + 1/24*y**b + 0*y + 0 - 1/6*y**3. Find the first derivative of u(x) wrt x.
1
What is the first derivative of 1 - x**4 + 4*x**4 + 4 wrt x?
12*x**3
Suppose 2*s - 5*s = -9. Differentiate -4*l**3 + 3 + 2*l**s + 6*l**3 with respect to l.
12*l**2
Let p be 6/10 + (-6)/10. Suppose p = -j + 5 - 3. Find the third derivative of 11*o**4 - o**2 + j*o**2 - 9*o**4 wrt o.
48*o
Let z(f) be the third derivative of f**8/336 + 5*f**4/12 + 53*f**2. Find the second derivative of z(s) wrt s.
20*s**3
Let n(f) be the first derivative of -1/12*f**4 + 1 - 1/2*f**2 + 0*f**3 + f. Let o(v) be the first derivative of n(v). Find the first derivative of o(k) wrt k.
-2*k
Find the second derivative of i + 11*i**5 + 8*i + 4*i - 4*i wrt i.
220*i**3
Let i(l) be the second derivative of -l**7/210 + l**5/40 - l**3/2 - 4*l. Let m(h) be the second derivative of i(h). What is the second derivative of m(f) wrt f?
-24*f
Let j(b) = 18*b**2 - 21. Let k(s) = -7*s**2 + 1 + 18 - 5 - 5*s**2. Let u(z) = -5*j(z) - 7*k(z). Differentiate u(v) wrt v.
-12*v
Let a(l) = 10*l**3 - 1. Let c(f) be the second derivative of -f**5/20 + 2*f. Let u(d) = 2*a(d) + 18*c(d). What is the first derivative of u(g) wrt g?
6*g**2
Differentiate 3 + 7*a**3 + 3*a**3 + 2 wrt a.
30*a**2
Suppose -i + 0*i = 0. What is the derivative of -4*s - 4 + i - 1 + s wrt s?
-3
Let d(p) be the first derivative of 30*p**7/7 + 7*p**3/3 + 28. What is the third derivative of d(s) wrt s?
3600*s**3
Let y(i) = -i - 1. Let o be y(6). Let f(k) = -k**3 - 7*k**2 - 2*k - 9. Let n be f(o). What is the second derivative of 2*z - 2*z**5 - n*z**2 + 5*z**2 wrt z?
-40*z**3
What is the second derivative of 2*v + 3*v - 7*v**2 - 7*v wrt v?
-14
Let z(u) be the second derivative of 1/4*u**4 + 0*u**2 - 3*u + 0*u**3 + 1/20*u**5 + 0. Find the third derivative of z(s) wrt s.
6
Suppose -n - 35 = -6*n. Find the second derivative of -n*g - 2*g**3 + 2*g**3 + g**3 + g**3 wrt g.
12*g
Let t = 7 - 7. Let p(q) be the third derivative of -1/120*q**6 + t*q**4 + 0*q**3 - 2*q**2 + 0*q - 1/60*q**5 + 0. Find the third derivative of p(c) wrt c.
-6
Suppose 2*r + 2*r = 16. Find the first derivative of -r - 3 + 1 + 2*m**3 + 1 wrt m.
6*m**2
Let z = 7 - 7. Suppose z = -10*w + 7*w + 6. Differentiate 2 - 2*v**2 - v**w + 2*v**2 wrt v.
-2*v
Let c be -1*(1/(-1) + -2). Let d = 10 + -7. Find the second derivative of -2*m**d - 2*m + 3*m**3 - 2*m**c wrt m.
-6*m
Let h(m) be the second derivative of 3*m**7/70 - m**5/12 + 5*m**2 + 7*m. Let n(l) be the first derivative of h(l). Find the third derivative of n(a) wrt a.
216*a
Let t(h) be the third derivative of 0 + 0*h**3 + 0*h + 4*h**2 - 1/6*h**4 - 1/30*h**5. What is the second derivative of t(g) wrt g?
-4
Let z(y) be the third derivative of y**8/3360 + y**7/630 - y**4/8 - 5*y**2. Let l(j) be the second derivative of z(j). Find the third derivative of l(p) wrt p.
12
Let k(d) be the first derivative of 0*d**2 - 1/4*d**4 - 2/3*d**3 + 0*d - 3. Find the third derivative of k(c) wrt c.
-6
Suppose 3*q - 10 = -2*q. Let h(s) = -s - 2. Let n be h(-3). What is the third derivative of -g**q + n + g**5 - 1 wrt g?
60*g**2
Let l(t) be the third derivative of t**7/140 - t**6/72 - t**3 + t**2. Let c(p) be the first derivative of l(p). Find the third derivative of c(v) wrt v.
36
Let s = -6 - -8. Let z = 0 - -2. Find the third derivative of -2 - 2*g**s + z + 4*g**5 + 3*g**2 wrt g.
240*g**2
Suppose -16 = -5*a - 1. Suppose -k + a*q = 2, -2*k - q - 14 = -6*k. What is the third derivative of -2*l**2 + 4*l**2 - k*l**2 + 2*l**6 wrt l?
240*l**3
Let r(i) be the third derivative of 0 + 1/20*i**5 - 1/168*i**8 + 0*i**6 + 0*i**3 + 0*i**4 + 0*i**7 + 0*i + 2*i**2. Find the third derivative of r(t) wrt t.
-120*t**2
Let w(l) = l**3 + 3*l**2 - 6*l - 5. Let y be w(-4). What is the second derivative of -q + 2*q**3 - 8*q - 6*q**y wrt q?
-24*q
Let s(n) be the third derivative of -n**5/20 - n**4/2 - 5*n**2. What is the second derivative of s(i) wrt i?
-6
Suppose -2*w - 5 = -13. Suppose -w*t + 3 = m - 2, -3 = -3*t. What is the first derivative of m + 2*u + 8*u - 7*u wrt u?
3
Let f(s) = 4*s - 1. Let r(l) = -l - 1. Let t(z) = f(z) + 2*r(z). Differentiate t(q) with respect to q.
2
Let u = 2 - -1. What is the third derivative of -3 + u - 8*d**5 - 5*d**2 wrt d?
-480*d**2
Let x(h) = 3*h - 2. Let p be x(1). Let y(c) be the first derivative of -p + 4*c + 0*c**2 - 1/2*c**4 + 0*c**3. Differentiate y(k) wrt k.
-6*k**2
Suppose -17*r + 8 = -13*r. Find the second derivative of 4*g + 2*g**r - 4*g + 2*g**2 + g wrt g.
8
Let m(c) = 3*c + 1. Let i(f) = 0 - 2 + 1. Let a(w) = 3*i(w) - m(w). What is the derivative of a(r) wrt r?
-3
Let b(i) be the second derivative of -i**7/14 - i**4/4 + i. Find the third derivative of b(g) wrt g.
-180*g**2
Let y = 7 + -10. Let r = y - -6. Differentiate 0*p**3 + r*p**3 - 4 + 7 + 1 with respect to p.
9*p**2
Let d = -26 + 79/3. Let y(p) be the second derivative of 0 + 0*p**2 - d*p**3 + 1/12*p**4 - p. Find the second derivative of y(k) wrt k.
2
Let x(a) = -9*a. Let i(k) be the third derivative of -k**5/60 - 5*k**4/12 - 4*k**2. Let u(f) = 3*i(f) - 4*x(f). What is the second derivative of u(z) wrt z?
-6
Suppose -4*m = 4*o - 52, 5*o + 44 = -3*m + 105. Let t(l) = 9*l + 2. Let j(p) = -17*p - 4. Let c(n) = o*t(n) + 6*j(n). What is the derivative of c(i) wrt i?
-3
Suppose 3*n = 4*n. Find the second derivative of -2*h + n*h + 5*h**4 - 2*h**4 wrt h.
36*h**2
Let k(o) = -o - 15. Let r(n) = 8. Let v(m) = m**3 + 3*m**2 + m + 1. Let x be v(-2). Let g(a) = x*k(a) + 5*r(a). What is the first derivative of g(l) wrt l?
-3
Let x(m) = -40*m**3 + 52*m + 9. Let u(t) = -10*t**3 + 13*t + 2. Let y(z) = -9*u(z) + 2*x(z). Find the second derivative of y(k) wrt k.
60*k
Let a(f) be the second derivative of 3*f**7/14 - 5*f**3/3 + 9*f. What is the second derivative of a(q) wrt q?
180*q**3
Let k(b) = -b**2. Let u(n) = -47*n**2 - 35. Let o(p) = -4*k(p) + u(p). Differentiate o(m) wrt m.
-86*m
Let v(x) be the first derivative of -3 + 2*x**2 + x + 3*x**2 + 0. Let o(s) = -3*s. Let u(r) = -7*o(r) - 2*v(r). Differentiate u(d) wrt d.
1
Let r(j) be the first derivative of 13*j**4/2 - 11*j + 24. Differentiate r(d) with respect to d.
78*d**2
Let p(h) = -2*h**4 - 7*h**2 - 7*h + 15. Let n(w) = w**4 + 3*w**2 + 3*w - 7. Let k(c) = 7*n(c) + 3*p(c). What is the derivative of k(a) wrt a?
4*a**3
Let c(q) be the second derivative of -5*q**8/7 + q**4/4 + 15*q. What is the third derivative of c(n) wrt n?
-4800*n**3
What is the second derivative of 2*w**2 - 175*w + 182*w + 10*w**2 wrt w?
24
Let p(h) be the first derivative of -h**7/42 - h**4/6 + 5*h**2/2 + 2. Let o(d) be the second derivative of p(d). What is the second derivative of o(i) wrt i?
-60*i**2
Let j(u) be the second derivative of 3*u**5/2 + 7*u**2/2 - 39*u. What is the first derivative of j(s) wrt s?
90*s**2
Suppose -107 = -4*m - 27. Suppose m = 5*l - 0*l. Find the second derivative of l*b**3 + 0 + 8*b + 0 - 5*b wrt b.
24*b
Suppose -z = -0*z - 2. What is the second derivative of -z*n**2 + 15 + 11 + n - 26 wrt n?
-4
Suppose -3*c + 0*y = 3*y - 21, -2*c = y - 9. What is the second derivative of -t - c*t**3 - 2*t + t wrt t?
-12*t
Let u be 30/(-4)*4/(-2). Differentiate 7 - 4*q**2 + 15 - u with respect to q.
-8*q
Find the third derivative of 121*x**5 - 205*x**5 + 32*x**2 + 121*x**5 wrt x.
2220*x**2
Let n(g) be the second derivative of -6*g**6/5 + 3*g**4 - g - 4. What is the third derivative of n(z) wrt z?
-864*z
Let x be (-4)/(-6)*(1 - -5). Suppose x*q - q + 5*z = 34, 0 = -5*q - 4*z + 35. Find the second derivative of -26*v**2 - 4*v + 26*v**2 + q*v**4 wrt v.
36*v**2
Let q(g) = 25*g**2 - 17*g + 5. Let l(n) = -13*n**2 + 8*n - 3. Let f(h) = 5*l(h) + 3*q(h). Find the second derivative of f(c) wrt c.
20
Suppose 0 = 3*t - t + v + 16, 0 = -5*t - 5*v - 45. Let q be t/(-3) + 2/3. Find the second derivative of -3*o - q*o**2 - o - o**2 + 2*o wrt o.
-8
Let w(l) = 7*l**4 - 2*l**2 - 2*l + 1. Let h(z) = 27*z**4 - 9*z**2 - 9*z + 4. Let g(d) = 2*h(d) - 9*w(d). What is the derivative of g(m) wrt m?
-36*m**3
Suppose -g = -