 14*s + 10*s**2 wrt s.
20
Differentiate -17 + 2*s**4 + s**3 + 8*s**3 + 17*s**3 - 30 with respect to s.
8*s**3 + 78*s**2
Let x(s) = s**4 + s**3 - s**2 - 1. Let f(i) = -4*i**4 - 2*i**3 + 2*i**2 + 6. Let g(n) = -f(n) - 2*x(n). What is the derivative of g(t) wrt t?
8*t**3
Let g(n) = -17*n**4 + 4*n**2 + 4*n + 11. Let s(o) = -o**2 - o - 1. Let h(f) = -g(f) - 4*s(f). Find the first derivative of h(x) wrt x.
68*x**3
Let z(w) be the first derivative of -8*w**3/3 - 4*w**2 - 3. Find the second derivative of z(r) wrt r.
-16
Let y(n) be the first derivative of -5*n**3/3 + 9*n**2 + 1. Find the second derivative of y(b) wrt b.
-10
Let g = 2 + 7. Let j(z) = 2*z**3 - 4*z**2 + 7. Let d(r) = 3*r**3 - 9*r**2 + 14. Let q(m) = g*j(m) - 4*d(m). What is the derivative of q(s) wrt s?
18*s**2
Let n(k) be the second derivative of k**5/20 + k**4 - 7*k. What is the third derivative of n(z) wrt z?
6
Let q(x) be the second derivative of x**8/1680 - x**5/40 + x**3/2 - 3*x. Let p(l) be the second derivative of q(l). Find the second derivative of p(u) wrt u.
12*u**2
Let h(p) = 3*p + 1. Let v be h(2). Let l = 10 - v. Let f(t) = -t**2 - 3. Let b(i) = -i**2. Let u(d) = l*b(d) - f(d). Differentiate u(n) with respect to n.
-4*n
Find the second derivative of -51*g + 4 - 12*g**2 + 34*g**2 - 4 wrt g.
44
Let w(h) be the first derivative of -16*h**2 + 43*h + 43. Differentiate w(t) with respect to t.
-32
Let v = 13 - -8. Find the second derivative of 12*n - 5*n**3 + 13*n - v*n wrt n.
-30*n
Let m(c) = 15*c - 17. Let l(x) = -15*x + 17. Let i(g) = -2*l(g) - 3*m(g). What is the derivative of i(n) wrt n?
-15
Let y = 10 - 8. What is the second derivative of 5*l**2 - l - 4*l**y - l - 3*l**2 wrt l?
-4
Suppose -3*f + 11*f = 16. Let k(b) be the first derivative of 2/3*b**3 - 2 + 0*b**f + 0*b + 0*b**4 + 2/5*b**5. Find the third derivative of k(u) wrt u.
48*u
Let r(v) = -v - 3. Let u(m) = 3*m + 8. Let p(z) = 17*r(z) + 6*u(z). Let y be p(7). Find the first derivative of -y*g**4 + 4*g**4 - 2 + 3*g**4 wrt g.
12*g**3
Let t(a) = -4*a - 4. Let i(n) = 8*n + 7. Let z(c) = 2*i(c) + 5*t(c). Differentiate z(k) wrt k.
-4
Let p(t) = -t**3 - t**2 + 3*t + 2. Let k be p(-2). Find the second derivative of k - 5 + 5 + 2*s**2 + 2*s wrt s.
4
Let v(g) be the first derivative of -14*g**4 + g**3/3 + 5*g**2/2 + 44. What is the third derivative of v(m) wrt m?
-336
Suppose 5*k = 15 - 0. Find the third derivative of -p + p - k*p**3 + 3*p**2 wrt p.
-18
Let y(t) be the second derivative of 3*t**5/20 - t**4/6 - 2*t. What is the third derivative of y(i) wrt i?
18
Let u(v) = 22*v - 28. Let i(h) = -15*h + 19. Let d(t) = 7*i(t) + 5*u(t). What is the first derivative of d(c) wrt c?
5
Let h(b) = b**2 - 1. Let q(n) = 9*n**2 + n - 2. Let i(a) = -2*h(a) + q(a). Find the second derivative of i(z) wrt z.
14
Let v = -15 + 18. Let a(q) be the second derivative of -q + 0*q**v + q**2 - 1/6*q**4 + 0. Differentiate a(i) wrt i.
-4*i
Let t be (-2)/7 + (-30)/(-7). Let f(o) = -o - 7. Let v be f(-9). Differentiate v + 2*r**3 - t*r**3 - 4 with respect to r.
-6*r**2
Suppose -3 = -3*f + 2*f. Differentiate 2*c**4 + 2 - f - 5*c**4 + 6 wrt c.
-12*c**3
Differentiate -4 + 6*f - 6*f + f**2 wrt f.
2*f
Differentiate 21*l**4 - l**4 + 1 - 10 wrt l.
80*l**3
Let j(f) = f**3 - 2*f**2 - 5*f + 2. Let u be j(4). What is the derivative of 8 - u + 2*z + 8 + 3 wrt z?
2
Let n = 10 + -7. Find the third derivative of n*s + 4*s**4 + 5*s**2 - 3*s wrt s.
96*s
Let s(w) = -8*w**3 - 4*w - 11. Let q(p) = -p**3 - p - 1. Let o(l) = -4*q(l) + s(l). Differentiate o(t) with respect to t.
-12*t**2
Let i be ((-2)/(-4))/((-4)/(-24)). Let j(g) be the second derivative of 0 + 1/4*g**4 + 3*g + 0*g**2 - 1/6*g**i. What is the second derivative of j(r) wrt r?
6
Suppose 3*b + 10 = 16. What is the third derivative of -7*w**4 + 26*w**2 - 21*w**b - 16*w**2 wrt w?
-168*w
Differentiate -28*s**2 + 110*s - 59*s + 5 - 51*s with respect to s.
-56*s
Let p(i) = i + 1. Let q(g) be the second derivative of -g**4/2 + 2*g**3/3 + 5*g**2 - 9*g. Let c(v) = -4*p(v) + q(v). What is the derivative of c(z) wrt z?
-12*z
Let m be (-10)/(-14) - (-8)/28. Let t(v) = 2*v - 1. Let z be t(m). What is the first derivative of 4 - 4 - w**2 + 0*w**2 - z wrt w?
-2*w
Let k(c) be the second derivative of 0 + 0*c**2 + 1/10*c**5 + 0*c**3 - 6*c - 1/12*c**4. What is the third derivative of k(h) wrt h?
12
Let p(n) be the third derivative of 1/20*n**5 - 1/6*n**4 + 0 + 0*n**3 + 4*n**2 + 0*n. What is the second derivative of p(m) wrt m?
6
What is the derivative of 0 - 3 - 2*x - 2*x + 5 wrt x?
-4
Let z(w) be the second derivative of w**8/840 - w**5/40 + w**3/3 - w. Let j(b) be the second derivative of z(b). Find the second derivative of j(k) wrt k.
24*k**2
Let m(k) be the second derivative of -k**5/20 + 5*k**4/12 - 3*k. What is the third derivative of m(u) wrt u?
-6
Let c(y) be the third derivative of -y**6/24 - 7*y**5/60 + 9*y**2. Find the third derivative of c(g) wrt g.
-30
Suppose -2*b = -0*b - 12. Let f be ((-2)/b)/((-2)/36). What is the third derivative of 7*k**6 - 5*k**6 - 3*k**f - 3*k**2 wrt k?
-120*k**3
Let m(f) = 24*f**2 - 5*f + 19. Let u(r) = 24*r**2 - 6*r + 19. Let b(s) = -6*m(s) + 5*u(s). Differentiate b(l) wrt l.
-48*l
What is the third derivative of -13*n**2 + 3*n**5 - 8*n**5 + n**5 wrt n?
-240*n**2
Let l(k) be the first derivative of k**6/2 - 8*k**3/3 - 6. What is the third derivative of l(f) wrt f?
180*f**2
Let y(i) = -4*i**4 - 6*i**3 + 5*i**2. Let t(s) = -4*s**4 - 5*s**3 + 4*s**2. Let d(g) = -6*t(g) + 5*y(g). What is the third derivative of d(x) wrt x?
96*x
Let s(t) be the second derivative of t**8/14 - t**4/12 - 5*t. Find the third derivative of s(m) wrt m.
480*m**3
Let m(o) be the first derivative of -8*o**5/5 - o**2/2 + 2*o - 60. What is the first derivative of m(p) wrt p?
-32*p**3 - 1
Differentiate 38 + 0*u**2 - 29 + 4*u**2 with respect to u.
8*u
Let s(k) be the second derivative of -10*k**3/3 + 9*k**2/2 - 5*k. Find the first derivative of s(y) wrt y.
-20
What is the third derivative of -152*i**4 - 7*i**2 - 29*i**5 + 152*i**4 wrt i?
-1740*i**2
Find the third derivative of 1 + 21*u**2 - 9*u**6 - 9*u**2 - 1 wrt u.
-1080*u**3
Let j = -38 + 79/2. Let h(r) be the first derivative of -j*r**2 + 2*r + 1. Differentiate h(m) with respect to m.
-3
Let b(g) be the first derivative of 2*g**7/7 - g**3 - 3. What is the third derivative of b(l) wrt l?
240*l**3
Let v(h) be the third derivative of 0*h + 1/60*h**5 + 0 + 0*h**4 + 4*h**2 + 5/6*h**3. What is the first derivative of v(i) wrt i?
2*i
Suppose 3*j - 4*q - 1 = 0, 0 = -5*j + 3*q + 3 + 6. What is the third derivative of j*x**2 + 0*x**2 - 5*x**2 - x**5 + 4*x**2 wrt x?
-60*x**2
Let a(d) be the first derivative of d**8/1680 - d**5/120 - d**3 - 3. Let q(m) be the third derivative of a(m). What is the second derivative of q(b) wrt b?
12*b**2
Differentiate -5*d + 6 - 4*d - 12*d - 4*d wrt d.
-25
Let o(g) be the second derivative of g**5/40 + g**4/12 - g**3/2 + 11*g. Let z(t) be the second derivative of o(t). Differentiate z(h) with respect to h.
3
Let y(v) = -7*v**4 + 2*v**2 - 12. Let l(q) = -6*q**4 + 3*q**2 - 11. Let u(c) = -2*l(c) + 3*y(c). What is the first derivative of u(r) wrt r?
-36*r**3
Let p be 16/6 - 6/(-18). What is the third derivative of 8*m**2 - 4*m**2 - 5*m**2 - p*m**3 wrt m?
-18
Let b(z) be the second derivative of z**5/10 - 5*z**4/12 + 5*z. Find the third derivative of b(p) wrt p.
12
Let r be 81/21 - (-2)/14. What is the second derivative of q**2 - r*q + 11*q + 5*q**2 - 4*q wrt q?
12
What is the third derivative of -9*j**5 - 5*j**2 - j**5 + 3*j**5 wrt j?
-420*j**2
Suppose -o + 2*o + 2*b = -16, 3*b + 17 = -o. Let d = -8 - o. What is the third derivative of -h**2 - h - 3*h + 4*h + h**d wrt h?
120*h**3
Let j(n) = 16*n**4 - 7*n**3 - 7*n - 15. Let d(b) = -5*b**4 + 2*b**3 + 2*b + 5. Let f(t) = -7*d(t) - 2*j(t). What is the first derivative of f(l) wrt l?
12*l**3
Let r(v) be the first derivative of -3*v**3 - 5*v**2 - 11. Find the second derivative of r(f) wrt f.
-18
Suppose -p + 5*p - 3*m - 4 = 0, m - 20 = -4*p. Let c = -4 + p. Find the third derivative of 2*l**5 - 3*l**5 + c*l**4 + l**2 + 0*l**4 wrt l.
-60*l**2
Let g(u) = u**5 - u**4 - u**2 + u + 1. Let v(s) = s**4 + 1 + s + 0*s**4 - 2*s**4. Let y(r) = -3*g(r) + 3*v(r). What is the third derivative of y(z) wrt z?
-180*z**2
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