
132
Suppose 2*a - 4 = -0*a. Suppose -4*j - 5*l = 3, 0 = 3*j - a*l - 14 - 1. Find the second derivative of -p**5 + 2*p + 3*p**5 - j*p**5 + p wrt p.
-20*p**3
Find the third derivative of 4*z - 10*z**6 + 23*z**2 + z**6 - 4*z wrt z.
-1080*z**3
Let d(o) be the third derivative of 23*o**9/504 - 7*o**5/60 + 23*o**2. Find the third derivative of d(t) wrt t.
2760*t**3
Let o(g) = -g + 2. Let m be o(0). Let x = 9 - 7. What is the third derivative of l**m - 5*l**2 + 6*l**x + 2*l**5 wrt l?
120*l**2
Let s(n) be the third derivative of -n**8/5040 + n**6/360 - n**5/60 - 3*n**2. Let j(x) be the third derivative of s(x). Differentiate j(b) wrt b.
-8*b
Find the first derivative of 8 - 9*k**3 - 9*k**3 - k**3 wrt k.
-57*k**2
Let l(p) be the second derivative of 0*p**5 + 0*p**4 + 0*p**2 + 0 + 7/6*p**3 + 3*p - 1/6*p**6. Find the second derivative of l(u) wrt u.
-60*u**2
Let z(g) = -17*g**3 + 2*g**2 + 5*g. Let b(x) = -8*x**3 + x**2 + 2*x. Let u(a) = -5*b(a) + 2*z(a). What is the third derivative of u(d) wrt d?
36
Let v(w) = 4*w**5 - 6*w**4 + 6*w**2 - 20*w. Let l(f) = -f**4 + f**2 - f. Let s(j) = -6*l(j) + v(j). Find the second derivative of s(h) wrt h.
80*h**3
Let r(d) = d**2 + 6*d + 7. Let w be r(-5). What is the third derivative of 0*g**w + 4*g**4 - 4*g**4 + 2*g**6 + 2*g**2 wrt g?
240*g**3
Let g(y) = y**2 - 7*y + 8. Let x be g(6). What is the third derivative of 2*i**2 + 4*i**4 + 2*i**4 + 2*i**x + 0*i**4 wrt i?
144*i
Let p be 2/4 + (-2)/4. Find the second derivative of -2*h**3 - 4*h + p*h**2 + 3*h + 0*h**2 wrt h.
-12*h
Suppose -24 = -2*w + 2*z, -4*w + 2*z = z - 51. What is the second derivative of 11*c - 17*c + w*c + c**2 wrt c?
2
What is the second derivative of -2*g**5 - 4*g + 31*g - 15*g wrt g?
-40*g**3
Let b(r) be the second derivative of -2*r**5/5 - 7*r**3/3 - 9*r. Find the second derivative of b(j) wrt j.
-48*j
Let q(d) be the first derivative of -d**6/180 + d**5/24 + 2*d**3/3 + 4. Let h(x) be the third derivative of q(x). What is the second derivative of h(f) wrt f?
-4
Let w(j) be the third derivative of -19*j**6/120 + j**3/6 + 12*j**2. Find the first derivative of w(f) wrt f.
-57*f**2
Let l(j) = 25*j**3 + 25*j**2 + 6. Let s(x) = x**3 + x**2 + 1. Let y(a) = -l(a) + 6*s(a). Find the third derivative of y(c) wrt c.
-114
Let t be 1/((-6)/9 - -1). Suppose 2 = -n + t*n. Differentiate 3*u + 1 + 1 - n wrt u.
3
Let m(i) be the second derivative of 0*i**5 + 0*i**4 + 0 - i - 2*i**2 - 1/10*i**6 + 0*i**3. Differentiate m(a) wrt a.
-12*a**3
Suppose -4*h + 1 = 5*j, -2*h - 14*j - 1 = -11*j. Let n(i) be the third derivative of i**2 + 1/24*i**h + 0 + 0*i - 1/3*i**3. Differentiate n(s) wrt s.
1
Let y(p) = -11*p - 4 + 3 - 8. Let f(h) = 56*h + 46. Let c(d) = -3*f(d) - 16*y(d). Let x(s) = -3*s - 2. Let m(w) = 4*c(w) + 11*x(w). Differentiate m(o) wrt o.
-1
What is the second derivative of j - 18*j**3 + 7*j**3 - 3*j wrt j?
-66*j
Let o(i) be the second derivative of -17*i**6/30 - 15*i**2/2 - 33*i. Find the first derivative of o(s) wrt s.
-68*s**3
Let w = 12 - 4. What is the third derivative of 2*q**2 + 11*q**2 + 4*q**5 - w*q**2 wrt q?
240*q**2
Let u(l) = 6*l**3 + 3*l**2. Let x(p) = 12*p**3 + 7*p**2. Let m(q) = 7*u(q) - 4*x(q). Find the third derivative of m(y) wrt y.
-36
Let h(u) be the third derivative of 7*u**4/12 + 10*u**3/3 - 2*u**2 + 16*u. What is the first derivative of h(y) wrt y?
14
Let g(q) = 16*q**2 - 16*q + 6. Let l(f) = -15*f**2 + 17*f - 5. Let b(u) = -5*g(u) - 6*l(u). Find the second derivative of b(o) wrt o.
20
Find the second derivative of 11*w + 18*w - 9*w**4 - 8*w**4 + 6*w wrt w.
-204*w**2
Let q be 6 - ((-1 - -2) + 1). What is the second derivative of -s - 3*s + s + s**q wrt s?
12*s**2
What is the third derivative of -422*w + 422*w - 6*w**2 + 10*w**3 wrt w?
60
Suppose -5*g - 5*s - 220 = 0, 3*g + 4*s - 2*s = -128. Let u be g/(-15) - (-2)/(-3). What is the second derivative of 2*i**4 - i - u*i**4 - i**4 wrt i?
-12*i**2
Let h(t) be the second derivative of -t**4/12 - 2*t**3/3 - 3*t. Find the second derivative of h(k) wrt k.
-2
Let o(a) = a**3 + 5*a**2 - 3*a - 5. Let x(h) = 1 + 4 - 9 - 2 - 3*h + 2*h**3 + 6*h**2. Let u(s) = -6*o(s) + 5*x(s). What is the second derivative of u(q) wrt q?
24*q
Let l(j) = -2*j - 3. Let n be l(-3). Differentiate -5 + n - 4 + 4*y**4 with respect to y.
16*y**3
Let b(f) = -f**2. Let v(n) = -44*n**5 + 4*n**2. Let g(m) = 2*b(m) + v(m). What is the third derivative of g(s) wrt s?
-2640*s**2
Let d(h) = -12*h**3 - 2*h**2 + 6. Let t(n) = 11*n**3 + 3*n**2 - 5. Let z(k) = -5*d(k) - 6*t(k). What is the third derivative of z(c) wrt c?
-36
Let w(t) = -38*t**3 - 21*t**2 - 8*t. Let z(h) = 25*h**3 + 14*h**2 + 5*h. Let p(q) = 5*w(q) + 8*z(q). Find the third derivative of p(i) wrt i.
60
Let u(k) = 23*k**5 + 19*k**2 - 2*k. Let g(r) = 70*r**5 + 57*r**2 - 7*r. Let n(z) = -2*g(z) + 7*u(z). What is the third derivative of n(a) wrt a?
1260*a**2
Let a be 0 + (-4)/(-2*2). Find the first derivative of 5*c**3 + 5 - 1 + a + 3*c**3 wrt c.
24*c**2
Find the second derivative of 2*t**2 - 23*t + 34*t + 29*t wrt t.
4
Let w = 5 - 3. Find the third derivative of 0*n**2 - n**w + 3*n**2 + n**3 wrt n.
6
Let c(g) = 3*g**2 - 20*g + 1. Let w(v) = 7*v**2 - 59*v + 3. Let t(r) = -7*c(r) + 2*w(r). What is the second derivative of t(q) wrt q?
-14
Let a(p) = -3 + 1 + 3*p + 2 + 4. Let h(u) = -4*u - 5. Let i(n) = 3*a(n) + 2*h(n). What is the first derivative of i(k) wrt k?
1
Suppose -74 = -4*z + 10. What is the derivative of 3*k - 24 + k + z wrt k?
4
Let z(q) be the first derivative of 0*q**3 + 0*q - 8/5*q**5 + 2 - 4*q**2 + 0*q**4. Find the second derivative of z(s) wrt s.
-96*s**2
Suppose -4*x = 12, 3*k - x - 14 = -5. Let t(r) be the second derivative of 0 - 1/3*r**4 + 4*r + 0*r**3 + k*r**2. What is the first derivative of t(g) wrt g?
-8*g
What is the third derivative of 1 + 26*j**4 + 0 + 4*j**2 - 1 wrt j?
624*j
Let x be -1 - (2 - (-15)/(-3)). Let y(r) be the third derivative of 0 + 1/24*r**4 - 2*r**x - 1/3*r**3 + 0*r. Differentiate y(o) wrt o.
1
What is the second derivative of -17*b**4 - 5*b**5 + b**5 + 2*b + 17*b**4 wrt b?
-80*b**3
Find the first derivative of -3*o**2 - 2*o**2 + 0*o**2 + 4*o**2 + 7 wrt o.
-2*o
Suppose -p = -3*p - 16. Let l = -4 - p. Find the second derivative of l*j**5 - 2*j + 2*j - 3*j**5 + j wrt j.
20*j**3
Let j(h) = -h**2 - 6*h + 3. Let v be j(-6). Find the second derivative of 5*i - 3*i + 0*i - v*i - i**2 wrt i.
-2
Let y(j) be the second derivative of -29*j**3/3 - 2*j**2 + 54*j. Differentiate y(x) with respect to x.
-58
Let b(l) be the third derivative of 7*l**6/120 + 5*l**3/6 - 6*l**2. What is the first derivative of b(y) wrt y?
21*y**2
Find the second derivative of f + 5*f**3 + 0*f - 3*f**3 wrt f.
12*f
Let w = 4 - 1. Let a(y) = -7*y**2 - y + 3. Let b(r) = 6*r**2 + r - 2. Let j(q) = w*b(q) + 2*a(q). What is the second derivative of j(f) wrt f?
8
Let d(s) = -s**3 + 5*s**2 - 2*s + 6. Let r be d(5). Let k = r + 7. Find the second derivative of 8*u - 13*u + 2*u - u**k wrt u.
-6*u
Let j be (-2)/5*(-5)/1. Suppose j*p - 6 = 2*a, -5*p + p - 3*a = -12. Find the second derivative of 0*d**3 + 4*d**3 - p*d**3 + d wrt d.
6*d
Let l(i) be the first derivative of i**4 + 8*i**3/3 - 2. Find the third derivative of l(v) wrt v.
24
Let d(l) = 11*l + 1. Let o(a) = 62*a - 8. Let s(n) = -21*n + 3. Let u(q) = -4*o(q) - 11*s(q). Let b(m) = 8*d(m) + 5*u(m). Differentiate b(i) with respect to i.
3
Let z(x) be the first derivative of x**4/2 - 21*x + 11. Differentiate z(b) wrt b.
6*b**2
Suppose 2*g - 5*n = -5, -5*n + 4 = -1. What is the second derivative of -4*d**3 + 6*d**3 + d + g*d**3 wrt d?
12*d
Let c(j) = -8*j**4 - 4*j**3 + 4*j**2 - 9. Let o(z) = 9*z**4 + 5*z**3 - 5*z**2 + 10. Let l(s) = -5*c(s) - 4*o(s). Find the first derivative of l(u) wrt u.
16*u**3
Differentiate 4 + 8 - 301*t**2 + 327*t**2 wrt t.
52*t
Let i(h) be the second derivative of -13*h**6/15 - 7*h**3/3 - 37*h. Find the second derivative of i(u) wrt u.
-312*u**2
Let c(z) be the third derivative of 0*z**5 + 0*z**3 + 0*z - 1/60*z**6 - 1/24*z**4 + 2*z**2 + 0. What is the second derivative of c(r) wrt r?
-12*r
Let t(y) = -y + 13. Let w be t(11). Find the first derivative of 8 - 11 + u**4 - 4*u**4 + w*u**4 wrt u.
-4*u**3
Let x(t) be the second derivative of t**5/30 - t**3/6 + t**2 + 5*t. Let w(j) be the first derivative of x(j). 