- 5*r**2 - 5*r**3 - 3*r**2 wrt r?
54
Let x(c) be the second derivative of -c**8/560 - c**4/8 - c**3/2 + 2*c. Let i(r) be the second derivative of x(r). What is the first derivative of i(b) wrt b?
-12*b**3
Let p(c) = -13*c**3 - 7*c**2 - 22*c - 7. Let h(d) = 9*d**3 + 5*d**2 + 15*d + 5. Let a(g) = 7*h(g) + 5*p(g). What is the second derivative of a(r) wrt r?
-12*r
Let n(s) be the second derivative of 1/15*s**6 + 0*s**4 + 0*s**3 + 0 + 0*s**5 - 1/2*s**2 - 2*s. Differentiate n(g) wrt g.
8*g**3
Let h be (-1)/(-5) + (-36)/(-20). Find the second derivative of 10*t**3 + h*t**3 - 4*t**5 - t - 12*t**3 wrt t.
-80*t**3
Let v(d) = -d**3 - d**2 - d - 1. Let s(p) = -4*p**3 - 2*p**2 - 2*p - 1. Let b(o) = 3*s(o) - 6*v(o). What is the first derivative of b(w) wrt w?
-18*w**2
Let d(i) = 36*i**4 - 14*i**3 + 14*i**2 - 14*i - 44. Let h(s) = -12*s**4 + 5*s**3 - 5*s**2 + 5*s + 15. Let n(c) = 5*d(c) + 14*h(c). Differentiate n(g) wrt g.
48*g**3
What is the second derivative of 2*q + 0*q**2 - 2*q**2 - 4*q**2 + 0*q**2 wrt q?
-12
Let q(o) be the second derivative of -o**6/60 - o**3/2 - o**2 + o. Let m(w) be the first derivative of q(w). Differentiate m(x) wrt x.
-6*x**2
What is the second derivative of -6*h - 4*h**5 - 6*h**5 + 19*h**5 wrt h?
180*h**3
Let x = -2 - -4. Let z(d) = 2*d - 2. Let i be z(3). Find the first derivative of -4 + 0*j**i + 2*j**4 + x wrt j.
8*j**3
Let d(j) be the first derivative of 1/2*j**2 + 0*j + j**3 + 3. What is the second derivative of d(q) wrt q?
6
Suppose 5 = f + 2. Let p = 6 - 3. Differentiate p - 3*v**3 - 4 + 2*v**f wrt v.
-3*v**2
Let l = 212 - 212. Let z(t) be the second derivative of l + 5/12*t**4 - t + 1/6*t**3 + 0*t**2. Find the second derivative of z(g) wrt g.
10
Suppose 4*b + f - 17 = 0, 2*b = -2*b + 5*f - 13. Let y(n) be the second derivative of -3/2*n**2 + 0*n**b - 1/4*n**4 + 2*n + 0. Differentiate y(g) wrt g.
-6*g
Let x(c) = -3*c**3 + c - 5*c**2 + 2*c**3 - c. Let f be x(-5). What is the second derivative of 7*g - 3*g + f*g - 2*g**4 wrt g?
-24*g**2
Let y(s) be the third derivative of -s**8/420 + s**4/24 + 2*s**3/3 + s**2. Let c(g) be the first derivative of y(g). What is the first derivative of c(o) wrt o?
-16*o**3
Let o(i) = -2*i**3 - i**2 - i + 0*i + 6*i**3 + 2*i. Let r be o(1). What is the third derivative of -6*a**2 + a**r + 2*a**4 + 0*a**4 + 3*a**2 wrt a?
72*a
Let q(f) = -f**4 + f**3 + f + 1. Let v(t) = -5*t**4 + 10*t**3 + 5*t**2 + 10*t + 10. Let h(j) = -10*q(j) + v(j). Find the third derivative of h(k) wrt k.
120*k
Let p(n) be the third derivative of n**8/48 + n**5/15 + 8*n**2. Find the third derivative of p(f) wrt f.
420*f**2
Let y be 1/2 + 20/8. Find the first derivative of 6*c**y - 1 - 5 - 3*c**3 wrt c.
9*c**2
Let b be (2*-3)/3*4. Let s = b + 13. What is the second derivative of 2*l**s + l - 4*l + 21 - 21 wrt l?
40*l**3
Let q(p) = 3*p**2 - p + 4. Let m(n) = -4*n**2 + 2*n - 5. Let a = -4 - 0. Let h(w) = a*m(w) - 5*q(w). Find the second derivative of h(f) wrt f.
2
Let m(k) be the first derivative of -5*k**3/3 + 49*k + 8. Differentiate m(o) with respect to o.
-10*o
Let j(l) = l**2 - l + 1. Suppose 0*f - f = -1. Let o(g) = -4*g**3 - 6*g**2 + 6*g - 3. Let i(s) = f*o(s) + 6*j(s). Find the first derivative of i(n) wrt n.
-12*n**2
Let i(g) = 4*g + 2 + g**2 - 4 + 6. Let u be i(-4). Differentiate 2 - 4*s**3 + s**u + 4*s**3 wrt s.
4*s**3
What is the second derivative of -7*k**4 - 12*k - 8*k**3 + 8*k**3 + k**4 wrt k?
-72*k**2
Let n be (2 - 2)*(-1)/(-2). Let q(f) be the first derivative of 4 + 0*f + f**3 + n*f**5 - 1/6*f**6 + 0*f**4 + 0*f**2. Find the third derivative of q(g) wrt g.
-60*g**2
Let n(d) be the first derivative of 4*d + 2*d + 4*d**2 + 3 - 4*d - 3*d**2. What is the first derivative of n(o) wrt o?
2
Let c(u) = -u**2 - 1. Let s(m) = -6*m**3 - 13*m**2 - 6. Let q(b) = 6*c(b) - s(b). What is the third derivative of q(n) wrt n?
36
Let q(z) be the first derivative of -z**5 - 5*z**3/3 - 5. Find the third derivative of q(l) wrt l.
-120*l
Let i be (8 - 0) + (-6)/2. Let a be i - 2*(3 - 2). Find the first derivative of a*y**2 - 4*y**2 - 4*y**2 - 5 wrt y.
-10*y
Suppose 0*d + 5*d = 20. Let p be ((-1)/(-1))/(2/d). Find the third derivative of -4*h**2 + h**3 + p*h**2 - 2*h**3 wrt h.
-6
Let u(v) = v**3 + v**2 + v - 1. Let j(c) = 4*c**3 + 7*c**2 + 6*c + 20. Let q(i) = -j(i) + 6*u(i). Differentiate q(b) with respect to b.
6*b**2 - 2*b
Suppose -30 = -2*d - 3*d. What is the third derivative of -51*w**5 + w**d + 0*w**2 + 51*w**5 + 8*w**2 wrt w?
120*w**3
Let c(y) be the second derivative of y**10/2520 + y**6/72 - y**3 - 6*y. Let b(w) be the second derivative of c(w). What is the third derivative of b(d) wrt d?
240*d**3
Let c(m) = -9*m**3 + 3*m - 7. Let d(n) = 19*n**3 - 7*n + 14. Let o(r) = 7*c(r) + 3*d(r). What is the derivative of o(s) wrt s?
-18*s**2
Let c(j) be the second derivative of j**5/10 - j**4/4 - 4*j. What is the third derivative of c(a) wrt a?
12
What is the derivative of -2*l - 1 + 7*l**3 + 2*l - 4 wrt l?
21*l**2
Suppose -5*o = 3*r - 34, 23 = 5*r + 4*o - 12. Let n(v) be the second derivative of 0*v**r + 0 + 1/12*v**4 + 1/2*v**2 + v. Differentiate n(g) wrt g.
2*g
Let u(h) be the first derivative of -4*h**5 + 11*h**2/2 - 4. Find the second derivative of u(a) wrt a.
-240*a**2
Suppose 0 = -2*g - 2*g + 12. Let k = g + -2. What is the derivative of 3*r + 2 - 2 + 3 - k wrt r?
3
Find the second derivative of 0 - 5*x + 6*x - 6*x**4 + 0 wrt x.
-72*x**2
Let b(a) = -a**3 + 4*a**2 - 5. Let n(p) = p**3 - 5*p**2 + 6. Let x(c) = 6*b(c) + 5*n(c). Find the third derivative of x(y) wrt y.
-6
Suppose 51 - 47 = q. Let p(h) be the third derivative of 0*h**q - 1/120*h**6 + 0 + 0*h**3 - 1/60*h**5 - h**2 + 0*h. What is the third derivative of p(k) wrt k?
-6
Let f(z) be the second derivative of -z**7/140 + z**5/15 - 5*z**3/6 - z. Let n(p) be the second derivative of f(p). Find the second derivative of n(x) wrt x.
-36*x
Let w(p) be the first derivative of -4*p**6/3 + p**3/3 + 19. Find the third derivative of w(f) wrt f.
-480*f**2
Let a(y) be the third derivative of -1/6*y**4 + 0*y + y**2 - 1/15*y**5 + 0*y**3 + 0. Find the second derivative of a(q) wrt q.
-8
Let s(z) be the first derivative of -z**9/504 + z**5/30 + 7*z**3/3 + 10. Let c(w) be the third derivative of s(w). What is the second derivative of c(y) wrt y?
-120*y**3
Let n = 761/10 - 76. Let q(a) be the second derivative of 3/2*a**2 + 0*a**4 - n*a**5 + 0 + 0*a**3 - 3*a. Find the first derivative of q(f) wrt f.
-6*f**2
Let j(n) be the third derivative of n**7/210 - 17*n**6/120 - 7*n**4/12 - n**3/2 - n**2 + 22. What is the second derivative of j(x) wrt x?
12*x**2 - 102*x
Let i be 7/1 + 1 + -3. What is the first derivative of 3 - l**4 - i - 2*l**4 wrt l?
-12*l**3
Let k = 9 + -6. Find the second derivative of 8*y - y - 2*y - 13*y**k + 7*y**3 wrt y.
-36*y
Let t = 0 + 0. Suppose x + x - 6 = t. Find the second derivative of 2*m**2 - m - 2*m**x - 2*m - 2*m**2 wrt m.
-12*m
Let i(q) = 114*q**3 - 113*q**2 + 17*q. Let u(o) = -38*o**3 + 38*o**2 - 6*o. Let b(j) = -6*i(j) - 17*u(j). Find the third derivative of b(a) wrt a.
-228
Let r = -1 - -3. Let d(z) = z**5 + 4*z**2 + 5. Let f(w) = 2*w**2 - 24 + 10 + 16. Let c(o) = r*d(o) - 5*f(o). Find the third derivative of c(m) wrt m.
120*m**2
Suppose 5*u = -5*d - 10, 2*d + u - 1 = -0*u. Differentiate 0 - 4 + 4 + 3 - 2*s**d wrt s.
-6*s**2
Let v(y) be the second derivative of 0 + 0*y**2 - 1/42*y**7 - 1/2*y**3 + 0*y**6 - 2*y + 0*y**4 + 0*y**5. Find the second derivative of v(k) wrt k.
-20*k**3
Let h(r) be the second derivative of -r**7/30 - r**5/30 + 4*r**2 - 6*r. Let x(z) be the first derivative of h(z). What is the third derivative of x(m) wrt m?
-168*m
Suppose 0*d + 14 = 2*t + 2*d, -d - 8 = -4*t. Differentiate -10*n - 6 + 10*n + 2 - 6*n**t with respect to n.
-18*n**2
Suppose 230 = 5*v - 0*v. What is the second derivative of 3*g - v*g**3 - 2*g**5 + 46*g**3 wrt g?
-40*g**3
Suppose 0 = -m + 2*m - 3. What is the second derivative of t + 0*t - 3*t**m - t**2 + t**2 wrt t?
-18*t
Let t(p) be the second derivative of -p**7 - 20*p**3/3 - 3*p + 3. What is the second derivative of t(g) wrt g?
-840*g**3
What is the derivative of 7*k - 17*k + 3*k + 4*k + 3 wrt k?
-3
Let v(a) = a**4 - a**3 - a + 1. Let u(m) = 3*m**4 - 2*m**3 - 2*m + 22. Let o(y) = u(y) - 2*v(y). What is the first derivative