3
Find the second derivative of 26*f - 9*f + 6*f**3 - f**3 + 7*f**3 wrt f.
72*f
Let k(b) be the third derivative of -b**4 + 7*b**3/6 + 4*b**2. What is the derivative of k(w) wrt w?
-24
Let b be 1*6 - (-4)/(-2). Suppose -x = x - b. Find the second derivative of 4*t**4 - t**4 - 2*t**4 - 3*t**4 + x*t wrt t.
-24*t**2
Let z be (2 - 0 - -3) + -3. What is the second derivative of -1 - d + d**z + 1 + 4*d wrt d?
2
Let k(y) = y**3 - 2*y**2 + 3*y - 3. Let n be k(2). What is the second derivative of 3*x**5 - 4*x**3 + 4*x**n - 4*x + 0*x**3 wrt x?
60*x**3
Let i(u) = -5*u**5 - 2*u**2 - 9*u - 2. Let m(c) = -6*c**5 - 3*c**2 - 8*c - 3. Let s(l) = 3*i(l) - 2*m(l). Find the second derivative of s(y) wrt y.
-60*y**3
What is the third derivative of 5*k**3 + 15*k**4 - 6*k**2 - 6*k**3 + k**3 wrt k?
360*k
Let u(m) = 53*m + 52. Let w(q) = 53*q + 53. Let t(y) = -6*u(y) + 5*w(y). What is the first derivative of t(d) wrt d?
-53
Let b(r) be the third derivative of r**8/84 + r**4/4 - 4*r**2. Find the second derivative of b(q) wrt q.
80*q**3
Let j(n) = n. Let x be j(2). Let u be 2 - 2/(0 - x). What is the second derivative of o + o + 0*o**3 + 2*o**u wrt o?
12*o
Let d(k) be the second derivative of -13*k**3/3 + 9*k**2/2 - 2*k. What is the first derivative of d(i) wrt i?
-26
Let h(r) = r**2 + 4*r + 5. Let t(m) = 2*m**2 + 3*m + 4. Suppose 0 = 4*i - 4 + 20. Let j(z) = i*h(z) + 5*t(z). Find the second derivative of j(u) wrt u.
12
Let a(y) be the second derivative of y**7/105 + y**4/8 + y**2 - 2*y. Let k(u) be the first derivative of a(u). Find the second derivative of k(q) wrt q.
24*q**2
Let c(i) = -17*i**3 - 6*i**2 + 6*i - 17. Let f(b) = 18*b**3 + 5*b**2 - 5*b + 16. Let z(j) = -5*c(j) - 6*f(j). Find the first derivative of z(g) wrt g.
-69*g**2
Let n = 5 + -1. Suppose -2 = 4*j + 2*s, -4*j + s + 17 - 4 = 0. Find the first derivative of -2*z**3 + n - 4 + j wrt z.
-6*z**2
Let a = 10 + -8. What is the derivative of -4*z**4 + 0 - 4 - a wrt z?
-16*z**3
Let n(c) be the third derivative of -c**9/84 + c**7/210 + 37*c**5/60 - 43*c**2. What is the third derivative of n(t) wrt t?
-720*t**3 + 24*t
Let s(j) be the second derivative of 0 + 0*j**4 - 3/20*j**5 - 2*j + 0*j**2 - 1/2*j**3. Find the second derivative of s(m) wrt m.
-18*m
Suppose -5*i - 8 = -2*g + 3, -2*g + 1 = 5*i. Let c = 1 + g. Differentiate -3 + c - 5 + 4*p**2 with respect to p.
8*p
Let d(j) = -10*j**4 + 11*j**3 + 3*j**2. Let s(o) = -5*o**4 + 6*o**3 + 2*o**2. Let q(v) = 6*d(v) - 11*s(v). What is the third derivative of q(c) wrt c?
-120*c
Differentiate -6 + 5 - 4*f + 5 wrt f.
-4
Let w(o) = -19*o**3 + 11*o**2 - 9*o + 9. Let r(z) = -9*z**3 + 5*z**2 - 4*z + 4. Let d(h) = -9*r(h) + 4*w(h). Find the third derivative of d(q) wrt q.
30
Let x(b) be the second derivative of -2*b**2 - 7*b - 3/4*b**4 + 0*b**3 + 0. Differentiate x(j) wrt j.
-18*j
Let z be ((-3)/9)/((-3)/(-9)*-2). Let r(u) be the first derivative of -z*u**2 - u + 3. Differentiate r(f) wrt f.
-1
Let o(j) = 12*j**3 - 15*j**2 - 4. Let k(n) = -36*n**3 + 44*n**2 + 11. Let v(f) = -4*k(f) - 11*o(f). Find the third derivative of v(q) wrt q.
72
Find the second derivative of 3*g - g**2 - g + 3*g**2 - g**2 wrt g.
2
Let o(v) = -v**3 + v + 1. Let n(d) = d**5 + 7*d**3 - 8*d - 7. Suppose -4 + 0 = -2*k. Let m(p) = k*n(p) + 14*o(p). What is the second derivative of m(b) wrt b?
40*b**3
Let x(v) = -v**3 - 8*v**2 + 2. Let p(h) = -h**3 + 5*h**2 - 6*h. Let c be p(4). Let o be x(c). What is the third derivative of -3 + o*s**3 + s**2 + 3 wrt s?
12
Let m(x) be the third derivative of -x**6/30 + x**5/20 + 5*x**2. Find the third derivative of m(q) wrt q.
-24
Let z be (7/14)/((-2)/(-68)). Find the first derivative of z*x**3 - 2 + 6 - 20*x**3 wrt x.
-9*x**2
Find the third derivative of -49*n**2 - 10*n**3 + 99*n**2 - 55*n**2 wrt n.
-60
Let b(r) = 4*r**3 + 8*r + 21. Suppose 2*y + 32 = -2*y. Let k(z) = 3*z**3 + 5*z + 14. Let j(u) = y*k(u) + 5*b(u). Find the first derivative of j(v) wrt v.
-12*v**2
Let d(x) = -15*x**3 - 3*x**2 + 5. Let z(u) = 14*u**3 + 2*u**2 - 5. Let k(t) = 2*d(t) + 3*z(t). What is the derivative of k(l) wrt l?
36*l**2
Let x(f) be the second derivative of -f**6/120 + f**5/40 - 2*f**3/3 - 6*f. Let h(p) be the second derivative of x(p). Find the second derivative of h(g) wrt g.
-6
What is the second derivative of -6*a**3 - 6*a + 8*a - 4*a wrt a?
-36*a
Let g(h) be the third derivative of -1/20*h**5 + 3*h**2 + 0 + 1/2*h**3 + 0*h**4 + 0*h. What is the derivative of g(w) wrt w?
-6*w
Let u(k) be the first derivative of k**5/20 + k**4/4 - 9*k**2/2 + 7. Let d(n) be the second derivative of u(n). Find the second derivative of d(g) wrt g.
6
Let r(x) = x**4 - 6*x**2 + 16*x + 6. Let k(w) = 3*w**4 - 13*w**2 + 32*w + 13. Let j(a) = -6*k(a) + 13*r(a). What is the second derivative of j(d) wrt d?
-60*d**2
Let p(j) be the third derivative of j**7/105 - j**3/2 - 5*j**2. Differentiate p(y) wrt y.
8*y**3
What is the third derivative of -2*w**4 + 0*w**2 + 8*w**2 + 0*w**2 + 8*w**4 wrt w?
144*w
Let h(g) = -5*g**3 + 37. Let w(p) = -p**3 + 6. Let x(m) = -6*h(m) + 39*w(m). Differentiate x(o) with respect to o.
-27*o**2
Let s(l) be the first derivative of -5*l**9/504 - l**5/60 + l**2/2 + 5. Let b(v) be the second derivative of s(v). Find the third derivative of b(a) wrt a.
-600*a**3
Let d(r) = 2*r**3 + r. Let s be d(-1). Let q(y) = -y**4 - 2. Let a(n) = -n**4 - 1. Let u(l) = s*q(l) + 2*a(l). Differentiate u(f) with respect to f.
4*f**3
What is the derivative of 0 - 8*i**4 - 9 - 3*i**4 wrt i?
-44*i**3
Suppose i + 60 - 15 = 4*d, -15 = -2*d - i. What is the first derivative of -8*a**4 - 4 + 3 + d*a**4 wrt a?
8*a**3
Let g(a) be the second derivative of -a**9/15120 - a**5/60 - a**4/6 + a. Let p(u) be the third derivative of g(u). Differentiate p(k) wrt k.
-4*k**3
Let n(a) be the third derivative of -a**7/840 - a**5/120 - a**4/8 + a**2. Let c(r) be the second derivative of n(r). Differentiate c(m) with respect to m.
-6*m
Suppose 0*f - 16 = -4*f. What is the first derivative of 7*q**4 - 3*q**f - q**4 + 2 - 5 wrt q?
12*q**3
Let u(d) be the first derivative of 0*d**6 + 0*d + 0*d**4 + 0*d**5 + 2/3*d**3 - 5/7*d**7 + 5 + 0*d**2. What is the third derivative of u(s) wrt s?
-600*s**3
Let u(o) be the first derivative of -o**5/5 - o**2/2 + o - 3. Let t(r) = -5*r**4 - 3*r. Let c(s) = -t(s) + 3*u(s). Differentiate c(p) with respect to p.
8*p**3
Let d be 0/(-1) + 2/2. Let m be (-1 - 0)*d*-1. What is the derivative of -t**3 + 0*t**3 - m + 0*t**3 wrt t?
-3*t**2
Let s be (152/32)/((-1)/(-4)). What is the third derivative of -6*v**2 + 2*v**6 + 19 - s wrt v?
240*v**3
Find the second derivative of 16*s**2 - 84 - 21*s + 84 wrt s.
32
Let z(f) be the third derivative of -11*f**7/105 + 13*f**5/60 - 24*f**2. What is the third derivative of z(s) wrt s?
-528*s
Let v(x) = x**3 - x**2 + x + 2. Let h be v(0). Find the third derivative of 2*z**6 + 3*z**6 - 2*z**2 - h*z**6 wrt z.
360*z**3
Let a(z) = 11*z + 4. Let t(n) = -23*n - 7. Let x(y) = -9*a(y) - 4*t(y). Differentiate x(s) with respect to s.
-7
Let i be 6/21 - (-38)/14. What is the second derivative of -2*r**3 + 6*r - r**i + 5*r**3 - 3*r wrt r?
12*r
Let o(q) be the second derivative of -4*q**3/3 + 5*q**2/2 - 5*q. Find the first derivative of o(k) wrt k.
-8
Let m(v) be the third derivative of v**9/56 + v**5/15 + v**2. What is the third derivative of m(s) wrt s?
1080*s**3
Let t(c) be the second derivative of c**6/120 - c**4/3 + c**3 - 4*c. Let s(x) be the second derivative of t(x). Differentiate s(h) wrt h.
6*h
Suppose x - 4 + 1 = 0. Suppose 0 = -i + 2*t - 2, 5*i + 5*t - x = 2*t. What is the first derivative of -3*o**2 + o**2 + 2 + i wrt o?
-4*o
Let i(w) = 3*w**5 + 6*w**3 - 8*w**2. Let m(h) = -7*h**5 - 11*h**3 + 15*h**2. Let u(l) = -11*i(l) - 6*m(l). What is the third derivative of u(o) wrt o?
540*o**2
Let r(j) = -j + 19. Let z be r(14). What is the derivative of m - m - m + z wrt m?
-1
Let l(a) be the third derivative of -11*a**9/252 + a**5/6 - 20*a**2. What is the third derivative of l(b) wrt b?
-2640*b**3
Suppose 4 = 4*v, -6*v + 4*v - 14 = -4*u. Suppose -a - 10 = w - 4*a, -4*w + 5 = -3*a. Find the first derivative of q**4 + q**4 - u + w wrt q.
8*q**3
Let j(q) be the first derivative of 10*q**4 + 5*q**3 - 13. Find the third derivative of j(v) wrt v.
240
What is the first derivative of 10 + 11 - 2