 = 2. Let n = 5 - 4. Let o(w) = -4. Let d(m) = -m**3 + 1. Let u(h) = n*o(h) + p*d(h). Differentiate u(b) wrt b.
-3*b**2
Let t be 4/10 - (-88)/55. Let p(o) = o**2 + 3 + 2*o - 3. Let i(f) = 4*f**2 + 11*f - 1. Let c(g) = t*i(g) - 11*p(g). Differentiate c(x) with respect to x.
-6*x
Find the second derivative of -q - 12*q + 14*q + q**5 - 10 - 14*q**4 wrt q.
20*q**3 - 168*q**2
Let s(l) be the second derivative of -l**7/280 - l**4/8 - l**3/6 + l. Let i(w) be the second derivative of s(w). What is the derivative of i(h) wrt h?
-9*h**2
Let m(s) be the first derivative of -3/2*s**6 + 0*s + 0*s**5 + 0*s**4 + 5 + 0*s**2 + 3*s**3. What is the third derivative of m(h) wrt h?
-540*h**2
Suppose 0 = 2*h - 4*h + 4. What is the third derivative of -5*c**4 + 9*c**h - 10*c**2 + c**4 wrt c?
-96*c
Let q(m) = m. Let g be q(6). What is the first derivative of -1 + 5*h**2 - g*h**2 + 4 wrt h?
-2*h
Suppose 0*z + 2 = -z, 3*a - 2*z - 10 = 0. Find the second derivative of -a*k**3 - 3*k + k - 6*k wrt k.
-12*k
Let j(b) = 12*b**3 + 10*b**2 - 8*b + 10. Let v(i) = -i**2 + i - 1. Let r(c) = j(c) + 10*v(c). What is the second derivative of r(s) wrt s?
72*s
Let p(h) be the first derivative of h**6/6 - 3*h**2/2 + 7. What is the second derivative of p(m) wrt m?
20*m**3
Let d be 46/11 + (-2)/11. Let r = 5 - d. Differentiate -k - 2 + 0*k - r + 4 wrt k.
-1
Let j(l) be the first derivative of 13*l**4/4 - 13*l + 21. Differentiate j(v) with respect to v.
39*v**2
Let n(o) = -4*o**3 + 3*o**3 + 2*o**3. Let p = 7 - 3. Let t(l) = -3*l**3 - 1. Let m(s) = p*n(s) + t(s). What is the first derivative of m(q) wrt q?
3*q**2
Let d(b) be the third derivative of b**8/112 - b**4/6 - 8*b**2. Find the second derivative of d(s) wrt s.
60*s**3
Let d(i) = 8*i**4 - 3*i**3 - 6*i**2 + 3. Let t(q) = 25*q**4 - 8*q**3 - 18*q**2 + 8. Let w(z) = 8*d(z) - 3*t(z). Find the third derivative of w(n) wrt n.
-264*n
Suppose 1 - 4 = -k. Differentiate -2*f**3 - 2*f**3 + 3 - 6 + 2*f**k wrt f.
-6*f**2
Let a(n) be the first derivative of -3*n**4/4 + 3*n - 9. Differentiate a(m) wrt m.
-9*m**2
Let y(w) be the second derivative of 7*w**6/30 - w**2 + 7*w. What is the derivative of y(l) wrt l?
28*l**3
Let m be -2*((-20)/2)/5. Let u(y) be the second derivative of 0 + 0*y**3 + y**2 + 1/5*y**5 + m*y + 0*y**4. Find the first derivative of u(c) wrt c.
12*c**2
Let u(r) = -3*r - 3. Let i be u(-2). Let l(o) be the second derivative of -2*o + 0 + o**2 + 1/6*o**i. What is the derivative of l(x) wrt x?
1
Let r(n) = -216*n**3 + 16*n**2 + 130*n - 16. Let o(j) = 43*j**3 - 3*j**2 - 26*j + 3. Let x(f) = 16*o(f) + 3*r(f). What is the second derivative of x(s) wrt s?
240*s
Let y be (2/(-6))/(2/(-12)). Let f = y - 0. Find the third derivative of 0*a - f*a**2 + 0*a - 2*a**4 wrt a.
-48*a
Let q(r) be the first derivative of r**4/4 - r**2/2 + r + 2. Let c(u) = -u**3 - 3*u + 2. Let p(g) = c(g) - 3*q(g). What is the derivative of p(m) wrt m?
-12*m**2
Let y be -6*3/(-12)*2. Let h = -1 + 3. What is the second derivative of 2*o**2 + 2*o - h*o**2 - o**y wrt o?
-6*o
Let y(c) = -17*c**4 + 5*c**2 + 8*c - 8. Let s(x) = -11*x**4 + 3*x**2 + 5*x - 5. Let q(j) = -8*s(j) + 5*y(j). What is the third derivative of q(m) wrt m?
72*m
Let u(p) be the first derivative of -p**3/3 + 7*p**2/2 - 7. Find the second derivative of u(r) wrt r.
-2
Suppose 3*z = -z. Let h(s) be the first derivative of z*s + 0*s**3 + 1 - s**2 + 1/4*s**4. What is the second derivative of h(g) wrt g?
6*g
Let y(o) be the second derivative of 3*o**6/5 + 5*o**3/2 - 2*o - 15. What is the second derivative of y(b) wrt b?
216*b**2
Let m(t) = -6*t**2 + 2*t**3 - 2 + 8*t**2 + 0*t**3. Let p(f) = -9*f**3 - 10*f**2 + 11. Let d(l) = -11*m(l) - 2*p(l). Find the third derivative of d(u) wrt u.
-24
Let t(g) = -g. Let b be t(0). Suppose 4*l + b*l - 8 = 0. What is the second derivative of 0*r**l - r**2 + r + 0*r**2 wrt r?
-2
Let q(o) = o. Let j be q(6). What is the third derivative of -43*f**2 + 38*f**2 - f**6 - 5*f**j wrt f?
-720*f**3
Let b(s) = -25*s**3 + 12*s**2 + 3*s. Let x(o) = -25*o**3 + 13*o**2 + 4*o. Let m(j) = 4*b(j) - 3*x(j). What is the third derivative of m(c) wrt c?
-150
Let p(o) be the third derivative of 0*o**6 + 3*o**2 + 0*o**4 + 0*o + 4/105*o**7 + 0*o**3 + 1/15*o**5 + 0. What is the third derivative of p(y) wrt y?
192*y
Let f(r) = -5*r**5 - 6*r**3 + 23*r. Let w(d) = -d**3. Let c(n) = -f(n) + 6*w(n). Find the second derivative of c(z) wrt z.
100*z**3
Let w be (2 - 3)*(-6)/3. Find the third derivative of -6*a**6 + 4*a**6 - w*a**6 + 4*a**2 wrt a.
-480*a**3
Let p(a) be the third derivative of -a**8/168 + a**5/15 - 8*a**2. What is the third derivative of p(d) wrt d?
-120*d**2
Let s(a) = -a**3 + a**2 - a + 1. Let f be s(0). Suppose n + f = 4. What is the third derivative of n*x**4 - 9*x**4 - x**2 + 3*x**4 wrt x?
-72*x
Let g(b) be the second derivative of -b**4/2 + 7*b**2 + b. Differentiate g(r) with respect to r.
-12*r
Suppose -26 = -5*u + 3*v, -3 = 2*u + 5*v - 1. Differentiate 9 - u + 3*b**3 + 0 with respect to b.
9*b**2
Differentiate -5*f + 6*f + 11 + 12*f - 9 with respect to f.
13
Let f(h) be the third derivative of -h**8/840 + h**4/8 - h**3/2 - 3*h**2. Let c(b) be the first derivative of f(b). Find the first derivative of c(t) wrt t.
-8*t**3
Let c(g) be the first derivative of 0*g**4 + 6/5*g**5 + 0*g + 0*g**2 + 1 + 4/3*g**3. Find the third derivative of c(p) wrt p.
144*p
What is the third derivative of -2*r**2 + 2*r**2 - 7*r**4 + 2*r - 9*r**2 + r**3 + 25*r**4 wrt r?
432*r + 6
Let i(q) = 8*q**4 + 3*q**3 - 8*q**2 + 3. Let g(d) = -9*d**4 - 4*d**3 + 9*d**2 - 4. Let c(k) = 3*g(k) + 4*i(k). Find the third derivative of c(w) wrt w.
120*w
Let g(h) = h**3 + 6*h**2 - 6*h + 10. Let c be g(-7). What is the derivative of -18*v**2 + 2*v**3 + 18*v**2 - c wrt v?
6*v**2
Let a(v) be the first derivative of -v**10/1260 + v**6/72 - 2*v**3 + 3. Let t(n) be the third derivative of a(n). What is the third derivative of t(c) wrt c?
-480*c**3
Let a(v) be the second derivative of -v**9/84 + v**5/6 + 3*v**2 + 10*v. Let t(n) be the first derivative of a(n). Find the third derivative of t(j) wrt j.
-720*j**3
Let w(m) be the third derivative of -m**8/1680 + m**5/40 + m**4/8 + 2*m**2. Let o(l) be the second derivative of w(l). Find the first derivative of o(z) wrt z.
-12*z**2
Let a(r) be the second derivative of r**9/15120 - r**5/30 - r**4/3 - 3*r. Let s(z) be the third derivative of a(z). Differentiate s(y) with respect to y.
4*y**3
Suppose -4*y = -2*b - 8, b - 2*y = -3*b + 8. Find the second derivative of -4*o + 2*o - 4*o**3 + b*o**3 - 2*o**3 wrt o.
-12*o
Let f = -3 - -11. What is the derivative of 2*k**2 - f*k**2 + 3*k**2 - 2 - 1 wrt k?
-6*k
Let l(n) be the second derivative of -n**6/60 + n**5/60 - n**2 + n. Let t(f) be the first derivative of l(f). Find the third derivative of t(y) wrt y.
-12
Let y(c) = -c**4 + c**3 + c**2 - c + 1. Let n(i) = -9*i**4 + 4*i**3 + 4*i**2 - 4*i - 5. Let w(k) = -n(k) + 4*y(k). What is the first derivative of w(o) wrt o?
20*o**3
Find the second derivative of -2*w + 4*w**4 - 4*w**4 + 19*w - 5*w**5 wrt w.
-100*w**3
What is the third derivative of -9*z**2 - 3*z**2 + 18*z**5 - 14*z**5 wrt z?
240*z**2
Let g = -9 + 12. Find the third derivative of 7*r**2 + 16*r + 0*r**g - 16*r + 7*r**3 wrt r.
42
Let b(f) be the third derivative of -f**4/8 - 5*f**3/6 + 7*f**2. Differentiate b(v) wrt v.
-3
Let p(q) be the second derivative of 17*q**5/20 - 19*q**2/2 - 3*q. Differentiate p(r) with respect to r.
51*r**2
What is the first derivative of 56 - 27 - 10*l + 44*l wrt l?
34
Let t(p) = -p**2 + 23. Let x(h) = -h**2 + 1. Let a(l) = t(l) - 6*x(l). Differentiate a(q) with respect to q.
10*q
Suppose 0*u + u - 5 = 0. Let p = u - 4. Differentiate 1 - p - 2*i**2 + 1 with respect to i.
-4*i
Find the third derivative of 3*y**6 - 10*y**2 + 12*y**2 - 2*y**6 wrt y.
120*y**3
Let i = -3 - -5. What is the first derivative of 0 + 2 + s**i - 3 wrt s?
2*s
Let t be (-4)/2 - (-10 - -6). Let j(s) be the third derivative of -1/3*s**3 - 1/12*s**4 + 0 + 0*s - t*s**2. Differentiate j(a) with respect to a.
-2
What is the second derivative of -8 + 4*g**4 + 2 + g + 6 wrt g?
48*g**2
Let d(s) = s**3 + 2*s**2 - 3*s - 2. Let v(r) = r**2 - 1. Let u(g) = 3*d(g) - 6*v(g). What is the second derivative of u(j) wrt j?
18*j
Suppose -7 = -v - u - 2*u, -4*v - 17 =