m.
18
Suppose 19*m = 55 + 2. Let h(x) be the second derivative of -1/12*x**4 + 0*x**2 + 0*x**m + 0 + 1/5*x**5 - x. Find the third derivative of h(k) wrt k.
24
Let q(b) = -5*b**3 + 6*b**2 + 6*b + 14. Let m(r) = r**3 - r**2 - r - 1. Let d(c) = -6*m(c) - q(c). What is the first derivative of d(f) wrt f?
-3*f**2
Let u(v) be the third derivative of v**6/30 + v**5/5 + 18*v**2. Find the third derivative of u(c) wrt c.
24
Let j(y) be the first derivative of 0*y**2 + 0*y - 5/3*y**3 + 1/2*y**4 - 6. What is the third derivative of j(q) wrt q?
12
Let a(s) be the third derivative of -3*s**2 + 0*s**4 + 0*s**5 - 1/3*s**3 + 0 + 1/60*s**6 + 0*s. What is the first derivative of a(f) wrt f?
6*f**2
Suppose -x + 4 = x. Suppose 4*j - 4*b - 16 = 0, -x*j + 7*b = 2*b - 11. Find the second derivative of 3*p**2 - j*p**2 - 2*p - p**2 wrt p.
-2
Suppose -3*p - 3*q - 5 = -11, -3*q + 11 = 4*p. What is the third derivative of p*l**3 + 2*l**5 - 5*l**3 - 3*l**2 wrt l?
120*l**2
What is the derivative of -7 + 0*p**3 + p**3 - 2*p**3 - 4*p**3 wrt p?
-15*p**2
Let x = 5 - 6. Let t(q) = -q + 1. Let h(c) = 9*c**3 + 24*c - 18. Let r(v) = x*h(v) - 18*t(v). What is the second derivative of r(m) wrt m?
-54*m
Suppose t - 41 = 4. What is the second derivative of -t*p + 46*p - 2*p**5 - 4*p**5 wrt p?
-120*p**3
Let q(b) be the second derivative of 0*b**6 + 1/21*b**7 + 0 + 0*b**2 + 5/12*b**4 - b + 0*b**5 + 0*b**3. Find the third derivative of q(i) wrt i.
120*i**2
Let w(r) be the third derivative of 11*r**5/15 + 43*r**4/24 + 20*r**2. What is the second derivative of w(q) wrt q?
88
Let h(p) be the third derivative of p**6/10 - p**5/12 + 2*p**2. Find the third derivative of h(j) wrt j.
72
Let l(w) = 27*w**2 - 98. Let n(d) = -14*d**2 + 49. Let r(v) = 6*l(v) + 11*n(v). Differentiate r(x) wrt x.
16*x
Let q(w) = -w + 11. Let m be q(6). Let x = 10 + -7. Differentiate z**2 + 0 - x + m wrt z.
2*z
Let k(a) = -7*a**3 - 6*a**2 - 6*a + 6. Let t(g) = 6*g**3 + 7*g**2 + 5*g - 5. Let f(y) = 5*k(y) + 6*t(y). Find the third derivative of f(z) wrt z.
6
Let z be 6/12 - 1/2. Let j(b) be the second derivative of 1/2*b**3 - 3*b + 1/12*b**4 + 0 + z*b**2. What is the second derivative of j(u) wrt u?
2
Let b(u) = 9*u**2 + 21*u. Let h(w) = 2*w**2 + 4*w. Let l(j) = -2*b(j) + 11*h(j). Find the second derivative of l(g) wrt g.
8
Let n(i) = -5*i**2 - 9*i + 2. Let a(v) = 9*v**2 + 17*v - 5. Let h(m) = -2*a(m) - 5*n(m). Find the second derivative of h(o) wrt o.
14
Find the first derivative of -46*n**2 + 50*n**2 - 30*n**2 - 19 wrt n.
-52*n
Let d(x) be the third derivative of 29*x**5/60 + 6*x**3 + 40*x**2. Differentiate d(y) wrt y.
58*y
Let c(z) = 1 + z + 10*z**2 + 8*z + 2 + z**3. Let g be c(-9). Find the second derivative of 0*i**3 - 2*i**g + i + 0*i**3 wrt i.
-12*i
Let n(q) be the third derivative of -23*q**8/336 + q**5/30 + 11*q**3/3 + 3*q**2 - 4*q. What is the third derivative of n(j) wrt j?
-1380*j**2
Let s = 9 + -8. Let c = -1 + 5. Find the first derivative of 0 + h**4 + s + 4*h**4 - 2*h**c wrt h.
12*h**3
What is the derivative of -1 - 1 - 49*h**4 - 7 + 25*h**4 wrt h?
-96*h**3
Find the first derivative of 0*z**4 + 8*z**4 - 4 + 3 + 7*z**4 wrt z.
60*z**3
What is the first derivative of -1 - 5 - 16*b**2 - 3*b**2 - 12 wrt b?
-38*b
Let z(p) be the second derivative of -p**5/20 + p**3/2 + p**2/2 - 4*p. Let c(j) be the first derivative of z(j). Differentiate c(b) with respect to b.
-6*b
Suppose -5*q = -13 - 17. Suppose -6 = -4*j + q. Differentiate 0 + 2 + j*b**4 + 0 + 1 with respect to b.
12*b**3
Let l(y) = -5*y**3 - 4*y + 4. Let u(n) = -9*n**3 - 7*n + 7. Let i(r) = 11*l(r) - 6*u(r). Let j(p) be the first derivative of i(p). Differentiate j(b) wrt b.
-6*b
Let v(l) = -l - 2. Let n be (0 + -1)/(2 - 3). Let d(b) = b. Let g(m) = n*v(m) + 4*d(m). Find the first derivative of g(f) wrt f.
3
Let i = 3 - 2. Let b be (-1)/(i + 5/(-4)). What is the first derivative of -b*u + 4*u - 2*u**2 - 1 wrt u?
-4*u
Let w(q) = 3*q - 6. Let n be w(4). What is the second derivative of -p**3 - 2*p**3 + n*p - 3*p + 0*p**3 wrt p?
-18*p
Let z = 16 - 14. What is the second derivative of n**2 + n + 3*n - 4*n**2 + n**z wrt n?
-4
Let i(b) be the third derivative of 1/12*b**4 + 0*b**3 + 1/20*b**5 - b**2 + 0*b + 0. Find the second derivative of i(a) wrt a.
6
Suppose -6*g + g = -55. Suppose 5*r = g + 9. What is the first derivative of 4*j + 6 - 2 - r*j - 4*j wrt j?
-4
Let v(f) be the second derivative of 0*f**3 + f + 5/12*f**4 + 2*f**2 + 0. What is the first derivative of v(h) wrt h?
10*h
Let v(g) be the third derivative of g**5/10 - 5*g**4/12 - 10*g**2. What is the second derivative of v(r) wrt r?
12
Suppose -4*f = f - 5. Suppose g + f - 3 = 0. Find the second derivative of -i - 2*i**2 - g*i**2 + 2*i**2 wrt i.
-4
Let n be 2/4 + (-33)/(-6). Find the first derivative of 6*o - n*o + 1 - o**4 wrt o.
-4*o**3
Find the second derivative of -35*i + 14*i**2 - 10*i**2 + 4*i - 12*i**2 wrt i.
-16
Let j(p) be the first derivative of p**5 - 2 - 5/3*p**3 + 0*p + 0*p**2 + 0*p**4. What is the third derivative of j(t) wrt t?
120*t
Let w(u) be the third derivative of -7*u**6/120 - 9*u**5/20 + 20*u**2. What is the third derivative of w(f) wrt f?
-42
Let r(o) = -o + 8. Suppose 20 = 2*v + 4*t, 4*v + 18 = -5*t + 52. Let b be r(v). What is the second derivative of 5*w**b - 5*w**2 - w + w**4 wrt w?
12*w**2
Let a be (-14)/21*-1*3. What is the third derivative of l**2 + 3*l**2 - l**2 - 8*l**a + 4*l**3 wrt l?
24
Let z(g) = -g**5 + 3*g**2 + 12*g + 5. Let u(w) = -4*w**5 + 8*w**2 + 36*w + 14. Let p(j) = 5*u(j) - 14*z(j). Find the second derivative of p(t) wrt t.
-120*t**3 - 4
Let o(w) = -w + 7. Let c(d) = d - 3. Let z be c(8). Let u be o(z). What is the first derivative of -1 - l**2 + 0 + 0*l**u wrt l?
-2*l
Let j(c) = -21*c**2 + 7*c. Let x(q) = 32*q**2 - 10*q. Let g(y) = -8*j(y) - 5*x(y). Find the second derivative of g(n) wrt n.
16
Let s(f) be the first derivative of f**7/70 + f**4/8 - f**2/2 + 3. Let j(i) be the second derivative of s(i). Find the second derivative of j(a) wrt a.
36*a**2
Differentiate 17 + 0 + 24 - 25*b**3 - 1 wrt b.
-75*b**2
Let f(t) be the third derivative of -16*t**7/105 - t**6/120 - 61*t**5/60 - 53*t**2. Find the third derivative of f(g) wrt g.
-768*g - 6
Let v(w) be the first derivative of 0*w**4 + 0*w**6 + 1/3*w**3 + 0*w**2 + 0*w**5 + 0*w + 3/7*w**7 + 2. What is the third derivative of v(n) wrt n?
360*n**3
Let a(p) be the second derivative of p**7/840 + p**4/12 + p**3/2 - 3*p. Let h(d) be the second derivative of a(d). What is the derivative of h(x) wrt x?
3*x**2
Let g = -135 - -139. Let q(v) be the first derivative of v**3 + g + 0*v**2 + 3/4*v**4 + 0*v. What is the third derivative of q(a) wrt a?
18
Let n(i) be the first derivative of i**9/1008 - i**6/180 + i**3 - 3. Let k(v) be the third derivative of n(v). Find the third derivative of k(p) wrt p.
180*p**2
Suppose 12 = 4*q - 2*q. Find the third derivative of z**2 + z**2 + 3*z**q + 2*z**2 - z**6 wrt z.
240*z**3
Let g = -27 - -30. Suppose -6*y + 20 = -2*y. What is the third derivative of -g*p**5 - p**2 + 4*p**2 + 4*p**y wrt p?
60*p**2
Let q(p) be the second derivative of p**6/5 + p**3 + 4*p. What is the second derivative of q(h) wrt h?
72*h**2
Differentiate 3*z**2 + 0*z**2 - z**2 + 7 with respect to z.
4*z
Let d(g) be the first derivative of g**6/10 - g**2 + g + 3. Let v(x) be the first derivative of d(x). What is the first derivative of v(z) wrt z?
12*z**3
Let x(k) = 3*k + 13. Let g be x(7). Differentiate -2 + 34*f - g*f - f**2 with respect to f.
-2*f
Let w(g) = -15*g**2 + 13*g + 2. Let m(r) = 75*r**2 - 66*r - 11. Let y(j) = 2*m(j) + 11*w(j). Find the second derivative of y(o) wrt o.
-30
Let h(l) = 5*l**2 - 9. Let g(d) be the second derivative of -d**4/6 + 3*d**2/2 + d. Let o(w) = 17*g(w) + 6*h(w). Find the first derivative of o(i) wrt i.
-8*i
Differentiate 3 + 6*n + 1 - 2 - 1 with respect to n.
6
What is the third derivative of 8*g**3 - 14*g**2 + 11*g**3 - 13*g**2 + 5*g**2 wrt g?
114
Let f(q) = -q**2 - 9*q - 4. Let t be f(-8). What is the second derivative of -t*l + 8*l**4 - 7*l**4 + l**5 - l**4 wrt l?
20*l**3
What is the second derivative of 14*l**2 - 10*l + 16*l**2 - 13*l**2 wrt l?
34
Suppose -2*y = m - 6, -5*m + 6 = -4. What is the second derivative of -1 - i - 4*i**y - 2 + 3 wrt i?
-8
Let y be (6 + -9)*(-1)/(-3). 