2. Suppose 0 = -v - 2*v + 9. Find the first derivative of a - 2*k**2 - 4 + v wrt k.
-4*k
Let t(y) be the third derivative of -y**7/420 + y**6/180 + y**3/6 + 3*y**2. Let i(v) be the first derivative of t(v). Find the third derivative of i(r) wrt r.
-12
Let k(t) be the first derivative of t**8/840 - t**5/40 - 2*t**3/3 + 1. Let r(q) be the third derivative of k(q). What is the second derivative of r(h) wrt h?
24*h**2
Let f(b) = -3*b - 2. Let c(z) = -3*z - 1. Let j(d) = -d**3 - 4*d**2 - 2*d + 2. Let h be j(-2). Let o(u) = h*f(u) + 3*c(u). Differentiate o(k) wrt k.
-3
Let i be (0 + 2/2)*25. What is the second derivative of -25 + i + 2*b**3 + 4*b wrt b?
12*b
Let v(b) be the first derivative of 0*b**2 + 0*b**4 + 2/3*b**3 + 0*b**5 + 0*b - 1 - 1/2*b**6. What is the third derivative of v(d) wrt d?
-180*d**2
Let s(h) = -4*h**2 - 5*h. Let x(c) = 5*c**2 + 2*c**2 + 4*c - c**3 - 4*c**2. Let p(t) = -3*s(t) - 4*x(t). What is the second derivative of p(k) wrt k?
24*k
Let w(v) = 6*v**3 - 5*v**2 - 5*v + 11. Let q(f) = -3*f**3 + 2*f**2 + 2*f - 6. Let y(j) = 5*q(j) + 2*w(j). What is the first derivative of y(a) wrt a?
-9*a**2
Let l(a) = 4*a**2 - 3. Let g(w) = -5*w**2 + w + 4. Let y be 2/(-2) + 9/(-3). Let t(h) = y*l(h) - 3*g(h). Find the second derivative of t(v) wrt v.
-2
Differentiate -u - 6*u - 24*u - 13*u - 23 wrt u.
-44
Suppose 3*z - 4 = 2. Find the second derivative of -z*g + 6*g**4 - 4*g**4 + 0*g + 4*g wrt g.
24*g**2
Let z be (276/18)/(2/3). Find the first derivative of -z + 19 + 14 - 10*a**2 wrt a.
-20*a
Let s = 50 + -33. Let i = -12 + s. What is the derivative of -1 - 3 - 2*v**2 + i wrt v?
-4*v
Let m(q) be the second derivative of 8*q + 0*q**5 + 0*q**6 + 0 - 3/28*q**8 + 0*q**3 - 5/12*q**4 + 0*q**7 + 0*q**2. What is the third derivative of m(f) wrt f?
-720*f**3
Let q(j) = -j**3 - j**2 - j + 1. Let y(r) = -12*r**3 - 14*r**2 - 10*r + 10. Let o(v) = -10*q(v) + y(v). Find the third derivative of o(h) wrt h.
-12
Let n = -36 + 39. Let v(j) be the second derivative of 0 + 2*j + 0*j**4 + 3/2*j**2 + 0*j**n + 1/10*j**5. What is the derivative of v(q) wrt q?
6*q**2
Let g(p) be the first derivative of 2*p**3 - 5*p + 3. What is the derivative of g(a) wrt a?
12*a
Suppose -4*m + 19 + 5 = 0. Find the second derivative of 0*c**2 - 3*c**2 - 4*c + m*c wrt c.
-6
Let g(k) be the first derivative of 0*k**2 + 0*k + 0*k**4 - 3/5*k**5 + 1 + 4/3*k**3. Find the third derivative of g(y) wrt y.
-72*y
Suppose 5*a - 17 = -7. Find the second derivative of a*w**4 + 0*w - 4*w**4 + w wrt w.
-24*w**2
Suppose x - 5*w = 26, 0 = 5*x - 2*w + 6*w - 14. What is the second derivative of -5*v + 2 - 5 + 3 + x*v**5 wrt v?
120*v**3
Let s(a) = a**2 + 9*a - 18. Let f be s(-11). Let w(i) be the third derivative of 0 + f*i**2 - 1/6*i**3 + 0*i - 1/12*i**4. What is the derivative of w(n) wrt n?
-2
Let t(u) = 22*u + 17. Let s(k) = 11*k + 8. Suppose 3*r - 8 = -4*i + 33, 11 = 3*r - 2*i. Let m(v) = r*s(v) - 3*t(v). What is the first derivative of m(o) wrt o?
11
Let y = 12 - 10. What is the third derivative of -3*c**2 + 3*c**4 + 6*c**2 - 6*c**y wrt c?
72*c
Let h(d) be the first derivative of -d**4/4 - 3*d - 4. Let x(f) = 2. Let s(c) = -4*h(c) - 5*x(c). What is the first derivative of s(y) wrt y?
12*y**2
Let b(z) = z**2 + z. Let t(o) = 6*o**2 + 8*o - 3. Let w(k) = 5*b(k) - t(k). Let h be w(-3). What is the second derivative of 0 + 0 + 5*j - h*j**2 - 7*j wrt j?
-6
Let d be 1/(-1 + 0/1). Let s(r) = r**2 + r + 1. Let n(j) = -j**2 + 2*j + 4. Let k(l) = d*n(l) + 2*s(l). What is the first derivative of k(x) wrt x?
6*x
What is the first derivative of 122*g**4 - 69*g**4 - 75*g**4 + 40 wrt g?
-88*g**3
Suppose -2*k + 5*m = -6*k + 37, -4*k + 2*m + 30 = 0. Let l = k + -6. Find the second derivative of -l*u**4 + 2*u**4 - 3*u + 3*u**4 wrt u.
36*u**2
Let l(n) be the first derivative of 0*n**2 + 0*n + 3 + 0*n**5 + 0*n**4 - 2/3*n**6 - 5/3*n**3. Find the third derivative of l(p) wrt p.
-240*p**2
Let i(j) be the third derivative of 0*j**4 + 1/2*j**3 + 0*j**5 + 0*j + 1/42*j**7 + 0*j**6 + 0 + 5*j**2. Differentiate i(n) wrt n.
20*n**3
What is the first derivative of -16151*o**2 - 40*o**4 + 17 + 16151*o**2 wrt o?
-160*o**3
Differentiate -4*k - 4*k + 63 - 59 with respect to k.
-8
Let a = 23 + -21. What is the third derivative of -6*c**2 + 11*c**2 + 0*c**2 - 5*c**5 - 2*c**a wrt c?
-300*c**2
Let j(f) = -18*f**2 + 12*f + 31. Let y(n) = -18*n**2 + 10*n + 31. Let d(s) = -5*j(s) + 6*y(s). Find the first derivative of d(p) wrt p.
-36*p
Let i(k) = 23*k**4 + 4*k**2 - k - 4. Let g(c) = 24*c**4 + 5*c**2 - c - 5. Let a(d) = -4*g(d) + 5*i(d). What is the second derivative of a(x) wrt x?
228*x**2
Let p(u) be the first derivative of -u**9/3024 + u**5/40 - u**3 + 2. Let n(i) be the third derivative of p(i). Find the second derivative of n(j) wrt j.
-20*j**3
What is the second derivative of -q**5 + 11*q - 6*q**5 - 15*q wrt q?
-140*q**3
Let c(t) = 10*t**4 + 8. Let x(z) = z**4. Let o(v) = c(v) - 3*x(v). What is the derivative of o(y) wrt y?
28*y**3
Let f(y) be the second derivative of -19*y**7/21 - 4*y**3 - 26*y. What is the second derivative of f(h) wrt h?
-760*h**3
Suppose -5*g = -g - 2*f - 40, -f - 8 = -g. What is the second derivative of -4*u**3 - 8*u + 10*u - g*u wrt u?
-24*u
Let f(l) be the second derivative of l**6/40 - 5*l**3/6 - l**2/2 - 2*l. Let x(c) be the first derivative of f(c). What is the first derivative of x(v) wrt v?
9*v**2
Let t(p) = 6*p**2 + p - 1. Let g be t(1). Find the third derivative of 3*k**2 + 3*k**6 - 4*k**6 + 2*k**g wrt k.
120*k**3
Let m be (-1 - -12) + -4 + -2. What is the second derivative of -14*k + 5*k**m + 8*k + 4*k wrt k?
100*k**3
Let a(w) = -5*w**4 - 17*w**2 - 6*w + 6. Let r(z) = -4*z**4 - 16*z**2 - 5*z + 5. Let u(b) = 5*a(b) - 6*r(b). Find the third derivative of u(g) wrt g.
-24*g
Let f(w) be the third derivative of -7*w**6/120 + w**4/12 - 5*w**2. What is the second derivative of f(z) wrt z?
-42*z
Let i(y) = -y - 5. Let n be i(-7). What is the derivative of -1 + 3*b**3 - n*b + 2*b - 3 wrt b?
9*b**2
Let y(w) be the first derivative of -5*w**4/4 - 7*w + 9. Differentiate y(u) with respect to u.
-15*u**2
Let d(i) be the third derivative of i**7/14 + i**4/3 + 17*i**2. What is the second derivative of d(l) wrt l?
180*l**2
Let u(r) be the second derivative of r**5/40 - r**4/8 - r**3/2 + 3*r. Let s(z) be the second derivative of u(z). Differentiate s(b) wrt b.
3
Let b(v) be the first derivative of 3/4*v**4 + 0*v**2 - 2/3*v**3 - 1 + 0*v. Find the third derivative of b(l) wrt l.
18
Find the third derivative of 10*w**6 - 649*w + 649*w + 10*w**2 wrt w.
1200*w**3
What is the third derivative of 185 - 13*q**3 - 3*q**2 + 2*q**2 - 185 wrt q?
-78
Let m(y) = -28*y**2 + 10. Let r(t) = t**2. Let w(l) = -m(l) - 5*r(l). What is the first derivative of w(h) wrt h?
46*h
Let j = 1 - 1. Find the second derivative of -2*n + j*n - 3*n + 5*n**5 wrt n.
100*n**3
Let l(z) = z**3 - z**2 + 1. Let r(m) = -13*m**3 - 4*m**2 + 50. Let v(d) = 4*l(d) - r(d). Differentiate v(w) with respect to w.
51*w**2
Let h(d) be the first derivative of -d**5/60 - d**4/8 - 3*d**2/2 - 2. Let c(y) be the second derivative of h(y). What is the second derivative of c(m) wrt m?
-2
Let t(u) be the second derivative of 2/21*u**7 + 0*u**5 - 4*u + 0 + 0*u**6 - 1/4*u**4 + 0*u**3 + 0*u**2. Find the third derivative of t(a) wrt a.
240*a**2
Let f = -184 - -188. Let t(h) be the first derivative of 3/2*h**2 + 2 + f*h. What is the derivative of t(z) wrt z?
3
Let w(x) = 4*x**2. Let y be w(-1). Suppose -2*a - v - 3*v + 18 = 0, 22 = y*a + v. Find the first derivative of -3 + a + 4*k**4 - 1 wrt k.
16*k**3
Let h(x) = x - 3. Let a be 14/35 + (-23)/(-5). Let y be h(a). What is the third derivative of 0*b**4 - b**y - 2*b**4 + 4*b**4 wrt b?
48*b
Let o(p) = -10*p**2 + 3*p - 2. Let i(x) = -x**2. Let u(b) = -18*i(b) + 2*o(b). Let r(m) be the first derivative of u(m). Differentiate r(k) with respect to k.
-4
Suppose 13 = 5*i - 2. Let w(l) be the first derivative of -3/2*l**2 + 0*l**i + 3/4*l**4 + 0*l + 1. Find the second derivative of w(d) wrt d.
18*d
Find the second derivative of -8 + 2*t - 13*t + 8 - 15*t**3 wrt t.
-90*t
What is the second derivative of -19*u**4 - 3*u**3 + 3*u**3 - 10*u + 7*u**4 wrt u?
-144*u**2
Find the second derivative of -23*k + 102*k**5 - 45*k**5 - 44*k**5 wrt k.
260*k**3
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