- 15*k**2 - 20 with respect to k.
-2*k
Let a(c) be the third derivative of -19*c**7/210 + c**5/15 + 20*c**2. What is the third derivative of a(u) wrt u?
-456*u
What is the second derivative of -9*u**4 - 16*u + 29*u - 16*u wrt u?
-108*u**2
Let r be (-2)/(-6)*(1 + 8). What is the first derivative of 7 - 4*v - v + r*v - 3 wrt v?
-2
What is the third derivative of 111*q + 19*q**3 - 11*q**2 - 55*q - 56*q wrt q?
114
Let r = 11 - 9. Find the third derivative of 2*l**2 + r*l**2 + l**4 - l**4 + l**4 wrt l.
24*l
Let i(u) be the second derivative of -23*u**4/12 - 8*u**3/3 - 7*u. What is the second derivative of i(d) wrt d?
-46
Differentiate 22 + 4*o**3 - 4*o**3 + 9 - 16*o**4 wrt o.
-64*o**3
Let p(w) be the third derivative of 5*w**9/504 + w**6/40 + 17*w**5/60 + 19*w**2. Find the third derivative of p(a) wrt a.
600*a**3 + 18
Differentiate -548 - i**3 - 14*i**3 + 584 with respect to i.
-45*i**2
Find the third derivative of l**5 + 0*l**6 + 2*l**6 - l**5 - 4*l**2 wrt l.
240*l**3
Suppose 4*i - 25 = -i. Find the first derivative of i + 2*g**2 - 3*g**2 - 3 - 5 wrt g.
-2*g
Let k(i) be the second derivative of 5*i**4/12 + i**3 - 2*i. What is the second derivative of k(c) wrt c?
10
Let b(w) = 33*w**3 + 17*w - 7. Let g(v) = -16*v**3 - 8*v + 3. Let s(q) = 3*b(q) + 7*g(q). Find the second derivative of s(h) wrt h.
-78*h
Suppose -2*r = -4*r + 10. Let m = 8 - r. What is the derivative of h - 2 + m + h wrt h?
2
What is the third derivative of 2*p**3 + p**3 - 7*p**2 + 5*p**3 wrt p?
48
Let d(t) be the first derivative of -1/6*t**6 + 0*t**3 + 0*t**4 - 3 + 0*t + 0*t**5 + 1/2*t**2. Find the second derivative of d(w) wrt w.
-20*w**3
Let i(v) = v**5 - 5*v**3 - 2*v**2 - 5*v + 5. Let m(p) = -2*p**3 - p**2 - 2*p + 2. Let a(y) = -2*i(y) + 5*m(y). Find the third derivative of a(b) wrt b.
-120*b**2
Let p(s) be the third derivative of -s**6/40 + s**4/6 + 11*s**2. What is the second derivative of p(g) wrt g?
-18*g
Let a(t) = -t**2 - 1. Let l(w) = -10*w**2 + 5*w - 1. Let y(h) = 2*a(h) - 2*l(h). Find the second derivative of y(j) wrt j.
36
Let j(x) = 5*x**3 - 7*x + 3. Let n(m) = 6*m**3 - 7*m + 4. Let g(c) = 4*j(c) - 3*n(c). What is the second derivative of g(o) wrt o?
12*o
Let c(v) be the second derivative of 3*v**7/14 - v**5/10 - 14*v**3/3 - 4*v + 4. Find the second derivative of c(s) wrt s.
180*s**3 - 12*s
Let y(i) be the second derivative of 2*i**7/21 + i**4/3 - 4*i. What is the third derivative of y(p) wrt p?
240*p**2
Let l(y) be the second derivative of -y**4/12 + 2*y**3/3 + 5*y**2/2 - y. Let q be l(4). Find the second derivative of -2*w - 3*w**5 - w**q + 2*w**5 wrt w.
-40*w**3
Let b be (-4)/8*(3 - 13). What is the third derivative of 28*p**5 - 28*p**b - 5*p**6 - 4*p**2 wrt p?
-600*p**3
Let n be (-4)/(-90)*3/4. Let p(u) be the third derivative of 0*u**3 - 2*u**2 + 0*u + 0 - 1/12*u**4 - n*u**5. What is the second derivative of p(l) wrt l?
-4
Suppose -m = g - 8 + 4, -2*g + 5*m - 6 = 0. Find the third derivative of -c**2 + 3*c**2 + c**3 - c**g wrt c.
6
Let j = -1 - 6. Let m = j + 11. Find the second derivative of -m*y + y**2 - 3*y**4 + 3*y - y**2 wrt y.
-36*y**2
Let i(r) be the second derivative of r**5/20 - 13*r**2/2 + 9*r. Find the first derivative of i(q) wrt q.
3*q**2
Let v(c) = 10*c**2 - 39*c - 5. Let q(s) = 5*s**2 - 19*s - 3. Let t(x) = -5*q(x) + 3*v(x). What is the second derivative of t(l) wrt l?
10
Let o(y) be the first derivative of -7*y**4/4 + 8*y**3/3 + 4. What is the third derivative of o(d) wrt d?
-42
Let j(l) be the second derivative of l**7/2520 - l**6/180 + l**4/6 - 2*l. Let d(w) be the third derivative of j(w). What is the second derivative of d(p) wrt p?
2
Let j(w) = 9*w**3 - 2*w**2 + 10*w. Let c(o) = -10*o**3 + 3*o**2 - 11*o. Let z(x) = -2*c(x) - 3*j(x). Find the second derivative of z(g) wrt g.
-42*g
Suppose -4*y + 8 = -4*i, -y + 6 = 1. Find the third derivative of -2*k**i - k**2 - 3*k**2 + 2*k**2 wrt k.
-12
Let c(g) be the first derivative of 5*g**4/4 + 5*g**2/2 + 3. Find the second derivative of c(u) wrt u.
30*u
Let x(g) be the second derivative of 1/20*g**5 + 1/3*g**4 + 4*g + 0*g**3 + 0*g**2 + 0. What is the third derivative of x(a) wrt a?
6
Let x(y) = -y**2 + 1. Let w be x(1). What is the second derivative of 7*s + s**4 + w*s**4 + 6*s**4 wrt s?
84*s**2
Find the first derivative of -53*f**3 - 49 + 13 + 18*f**3 wrt f.
-105*f**2
Let m(v) be the third derivative of v**8/168 - v**4/12 + 3*v**2. Find the second derivative of m(s) wrt s.
40*s**3
Let w(l) be the second derivative of 0 + 0*l**2 + 1/4*l**4 - 1/10*l**5 + 0*l**3 - l. What is the third derivative of w(n) wrt n?
-12
Let h(v) be the first derivative of v**6/6 - 28*v**3/3 - 30. Find the third derivative of h(l) wrt l.
60*l**2
Let b(i) = 2*i**3 - 2*i**2 - 2*i + 9. Let q(m) = 8*m**3 - 9*m**2 - 9*m + 37. Let t(a) = -9*b(a) + 2*q(a). What is the derivative of t(r) wrt r?
-6*r**2
Suppose 2*h - 6 = 5*h. Let y = -2 - h. Find the third derivative of 3*f**2 - f**2 + 2*f**5 + y*f**2 wrt f.
120*f**2
Let s(a) = 2*a - 9. Let v be s(7). Find the second derivative of n + 2*n**2 - v*n**2 + n**2 wrt n.
-4
What is the derivative of -2 - 6 + 1 + 3*m**2 - 4 wrt m?
6*m
Let b(u) = 4*u**3 + u**2 + 4*u - 4. Let i(t) = t**4 + 3*t**3 + t**2 + 3*t - 3. Let x(q) = 3*b(q) - 4*i(q). What is the third derivative of x(r) wrt r?
-96*r
Differentiate -821*h + 821*h - 11 - 15*h**4 wrt h.
-60*h**3
Let s(p) = 2*p - 2. Let f be s(2). Find the first derivative of 2*w**f - 5*w**2 - 5 + 2 wrt w.
-6*w
Let s be (-26)/(-7) + (-10)/(-35). Suppose 5*l + s = 14. Find the second derivative of -2*h**4 + l*h + h**4 + 3*h**4 wrt h.
24*h**2
Let z(h) = -7*h**4 + 4*h**3 - 4*h**2 + 9. Let f(a) = -20*a**4 + 11*a**3 - 11*a**2 + 26. Let p(w) = -4*f(w) + 11*z(w). What is the derivative of p(l) wrt l?
12*l**3
Let u be (9/6)/((-3)/(-6)). What is the third derivative of 4*j**2 - u*j**2 + 2*j**2 + 5*j**6 - 4*j**6 wrt j?
120*j**3
Find the third derivative of 42*f**3 - 42*f**3 + 20*f**2 + 34*f**4 + 8*f**2 wrt f.
816*f
Let s(x) = -7*x**5 - 5*x**4 - 10*x**2 + 5*x. Let h(n) = n**4 - n. Suppose 10 = y + 11. Let k(t) = y*s(t) - 5*h(t). Find the third derivative of k(l) wrt l.
420*l**2
Let j(c) be the first derivative of 4/5*c**5 + 0*c + c**3 + 0*c**4 + 3 + 0*c**2. What is the third derivative of j(h) wrt h?
96*h
Let r(s) be the first derivative of 0*s**6 - 1/7*s**7 + 0*s**2 + 0*s**4 - 4/3*s**3 + 0*s**5 + 0*s + 2. Find the third derivative of r(u) wrt u.
-120*u**3
Suppose 2*r - r + 31 = 5*n, -n + 15 = 2*r. Let m = 11 - n. Differentiate -3 + 5 - 5*j**3 + m*j**3 with respect to j.
-3*j**2
Let k(n) = n**4 - n**3 - n**2 - n. Let y(p) = -2*p**4 + 4*p**3 + 21*p**2 + 4*p. Let d(i) = -4*k(i) - y(i). What is the third derivative of d(g) wrt g?
-48*g
Let z(w) = 8*w**2 - 2*w - 7. Let j(n) = -7*n**2 + 3*n + 6. Let v(y) = -2*j(y) - 3*z(y). Find the first derivative of v(f) wrt f.
-20*f
Let s be 36/15 + (-4)/10. Suppose 4*r + 2*m = -s, 0 = m + 1. What is the derivative of -3 + r*w - 5*w + 0*w + 7*w wrt w?
2
Suppose -2*x - 3*x = -m - 39, 0 = -5*x + 4*m + 51. Suppose 2*i = -1 + x, 3*y + 4*i = 15. What is the first derivative of -2*p**4 + 3*p**4 + p**4 + y wrt p?
8*p**3
Let d(g) = 10*g**3 + 4*g**2 + 3*g - 40. Let v(m) = -29*m**3 - 11*m**2 - 8*m + 119. Let t(x) = -11*d(x) - 4*v(x). What is the first derivative of t(o) wrt o?
18*o**2 - 1
Let n(h) be the third derivative of 5*h**9/252 + 13*h**5/60 - 6*h**2. What is the third derivative of n(z) wrt z?
1200*z**3
Suppose 12 = k - 2*c, c = -3*k + 4*c + 21. What is the third derivative of o**k + 2 - 5 - 2*o**3 + 3 wrt o?
-12
What is the derivative of -39*n**2 - 12*n**4 + 22 + 7*n**4 + 39*n**2 wrt n?
-20*n**3
Let g(k) = 19*k**3 + 13*k**2 - 4. Let f(t) = -19*t**3 - 12*t**2 + 3. Let o(s) = 4*f(s) + 3*g(s). Find the third derivative of o(v) wrt v.
-114
What is the second derivative of -4*i - 5*i**3 + 5*i**3 - 2*i**3 + i**3 wrt i?
-6*i
Suppose 0*l - 5*l + 20 = 5*u, 5*l + 3*u - 18 = 0. Find the second derivative of 5*x**3 - x**3 - 10*x + l*x + 0*x**3 wrt x.
24*x
Let r(p) be the second derivative of -p**6/15 + 4*p**2 - 12*p. What is the derivative of r(x) wrt x?
-8*x**3
Let d be 2/(-4)*(-13 - -5). Differentiate -128*w**2 + 128*w**2 + 3 + w**d wrt w.
4*w**3
Let l(n) be the third derivative of -13*n**7/105 - 3*n**5/10 + 11*n**2. Find the third derivative of 