18. Suppose -3*f = -5*d + q, 4*d - 9 = 3*f + 9. What is the second derivative of 12*c + 6*c**2 - 10*c - d*c**2 wrt c?
6
Suppose -4*o - 2 = -5*k, 5*o + 7 = -3*k - 14. Let g(s) = -s. Let x be g(k). Find the third derivative of 6 - x*a**4 - 6 - 2*a**2 wrt a.
-48*a
Let m be 27/36 + (-3)/4. What is the derivative of -25 + 22 - 2*o**2 - o**2 + m*o**2 wrt o?
-6*o
Find the third derivative of l**2 - 11*l**6 + 5*l**2 - 12*l**6 - 3*l - 3*l wrt l.
-2760*l**3
Let s(x) be the first derivative of -x**4 + 8*x**3/3 + 13. What is the third derivative of s(b) wrt b?
-24
Let j(b) = b**4 - b**3 + b**2 - b. Let s = 5 - 4. Let l(h) = 3*h**4 - 2*h**3 - 2*h. Let k(q) = s*l(q) - 2*j(q). Find the third derivative of k(n) wrt n.
24*n
Let g = 0 - -5. Suppose 3*j - 4*k - 15 = -k, 5*j + g*k = -5. What is the third derivative of 2*b - 2*b + j*b**2 + b**5 wrt b?
60*b**2
Let c(z) = 6*z + 3. Let m(j) = -j**3 + 13*j**2 + 15*j - 17. Let n be m(14). Let d(k) = -k. Let i(o) = n*d(o) - c(o). Find the first derivative of i(p) wrt p.
-3
Let u(w) = -12*w**4 + 11*w**2 + 6*w + 6. Let s(g) = -23*g**4 + 22*g**2 + 11*g + 11. Let a(x) = 6*s(x) - 11*u(x). Find the third derivative of a(c) wrt c.
-144*c
What is the derivative of -24 - 2*j**2 + 2*j**2 - 4*j**2 + 26 wrt j?
-8*j
Let i(z) = 10*z - 1. Let a(s) = 100*s + 45. Let c(l) = -9*l - 4. Let b(y) = 4*a(y) + 45*c(y). Let p(o) = -13*b(o) - 6*i(o). Differentiate p(g) wrt g.
5
Find the second derivative of 8*s - s**3 - 8 + 9 - 1 wrt s.
-6*s
Let u be (2 + -4)*(-21)/6. Find the first derivative of c**4 - 3*c**4 + 4 + u*c**4 - 1 wrt c.
20*c**3
Let v(u) be the first derivative of -u**7/210 - u**4/12 - 2*u**3/3 + 1. Let k(x) be the third derivative of v(x). Differentiate k(d) with respect to d.
-12*d**2
Let m(g) be the second derivative of 8*g**3 - 33*g**2 - 25*g. What is the derivative of m(a) wrt a?
48
Let m(f) be the second derivative of 8*f**7/21 + 7*f**3/2 - 3*f. Find the second derivative of m(n) wrt n.
320*n**3
Suppose 4*r - 10 = 14. Let y be 3 - r/(-1 - 1). What is the third derivative of 5*l**y - l**4 - 3*l**2 + l**4 - 3*l**6 wrt l?
240*l**3
Find the second derivative of -4 + 3*j**2 + 2 - 32*j**2 + j + 5 wrt j.
-58
Let r(u) be the first derivative of 5*u**6/6 + 5*u**2/2 - 6. Find the second derivative of r(j) wrt j.
100*j**3
What is the first derivative of 17 + 39*s**3 + 4 + 2*s**3 wrt s?
123*s**2
What is the first derivative of 16*j**2 - 22*j**4 - 16*j**2 - 8*j**4 - 35 wrt j?
-120*j**3
Let z(t) be the second derivative of 1/6*t**4 + 0*t**6 + 5/42*t**7 - 2*t + 0*t**3 + 0 + 0*t**2 + 0*t**5. What is the third derivative of z(o) wrt o?
300*o**2
Suppose -2*t + 80 = 3*t. Suppose q + 1 = 2*a, -a - a = 4*q - t. What is the second derivative of 0*z - z**5 + 0*z - a*z wrt z?
-20*z**3
Let v(r) = -r. Let w = -8 + 12. Let o(y) = 2 + 3 + y - 3*y - w. Let z(k) = o(k) - 3*v(k). Differentiate z(c) wrt c.
1
Let f(j) be the first derivative of 0*j**4 + 0*j**6 + 5/3*j**3 - 5/7*j**7 + 0*j**2 + 0*j + 5 + 0*j**5. What is the third derivative of f(s) wrt s?
-600*s**3
Let y(l) = 16*l**2 + 14*l. Let x(h) = -24*h**2 - 21*h. Let t(u) = 5*x(u) + 7*y(u). Find the second derivative of t(n) wrt n.
-16
Suppose 5*w - 2 = -7, 0 = -5*y + 5*w + 15. Find the third derivative of -3*p**2 - y*p**5 + 0*p**2 - 2*p**5 wrt p.
-240*p**2
What is the derivative of 7 - 9*o**4 - 12 + 21 - 10*o**4 wrt o?
-76*o**3
Find the second derivative of -12*a - 6*a - 13*a - 15*a**3 - 6*a**3 wrt a.
-126*a
Let n(b) = 21*b**3 - 15*b + 11. Let h(z) = 2 - 4*z + 4*z**3 - 2*z + 2*z + z. Let w(r) = 11*h(r) - 2*n(r). Find the second derivative of w(i) wrt i.
12*i
Let s(y) be the second derivative of -3*y**8/28 - 3*y**4/4 - 3*y. What is the third derivative of s(o) wrt o?
-720*o**3
Find the first derivative of 3*s - 3*s**4 - 3*s + 11 wrt s.
-12*s**3
Let u(s) be the first derivative of s**7/280 - s**5/40 + s**3/3 + 2. Let t(v) be the third derivative of u(v). What is the second derivative of t(a) wrt a?
18*a
Differentiate 7*i - 1 + 3 - 2 + 6 wrt i.
7
Suppose -5*d - 2*k + 24 = -6*k, -5*d = -2*k - 22. Differentiate 4*r**4 + 3 + 3*r**4 - 5*r**d + 0*r**4 wrt r.
8*r**3
Let b(j) = 17*j**4 + 5*j**3 - 4*j**2 - 5*j. Let x(k) = 26*k**4 + 8*k**3 - 6*k**2 - 8*k. Let y(q) = 8*b(q) - 5*x(q). Find the third derivative of y(h) wrt h.
144*h
Suppose k = w + w + 1, 0 = 2*k - w - 8. Suppose 6*j = k*j - 2*p + 9, -3 = -2*j + p. What is the second derivative of -v**j - 3*v + 5*v**3 - v**3 wrt v?
18*v
Differentiate -3 + 7*x**3 + 9*x**3 - 31*x**3 with respect to x.
-45*x**2
Let a(h) = -h**5 + 6*h**4 + 6*h**3 + 8*h. Let y(l) = -l**4 - l**3 - l. Let s(j) = a(j) + 6*y(j). What is the second derivative of s(u) wrt u?
-20*u**3
Let w(d) = -2*d. Let g(a) = 42*a**2 + 20*a. Let t(o) = g(o) + 2*w(o). Find the second derivative of t(r) wrt r.
84
Let b(o) be the first derivative of o**9/1512 - o**6/120 + o**3 - 2. Let l(v) be the third derivative of b(v). What is the third derivative of l(t) wrt t?
120*t**2
Suppose -3 - 1 = -2*k. What is the third derivative of 15*g**2 + 16*g**k - 24*g**2 - g**3 wrt g?
-6
Let s(g) = g**2 + 7*g + 3. Let d be s(-7). Differentiate d*w**2 - 2*w**3 - 6 - 3*w**2 + 9 wrt w.
-6*w**2
Let i(n) be the third derivative of 3*n**8/112 + 5*n**4/24 - 10*n**2. Find the second derivative of i(z) wrt z.
180*z**3
Let t(b) = -3*b - 12. Let x(m) = -7*m - 25. Let z(k) = -13*t(k) + 6*x(k). Differentiate z(v) wrt v.
-3
What is the second derivative of -10*o - 5*o**2 - 5*o**2 + 0*o**2 + 2*o**2 wrt o?
-16
Let d(y) be the third derivative of -2*y**2 + 0 + 0*y**5 + 0*y**4 - 1/105*y**7 - 1/6*y**3 + 0*y**6 + 0*y. What is the first derivative of d(p) wrt p?
-8*p**3
Let k(i) be the second derivative of 3*i + 0*i**3 + 1/6*i**4 - 1/2*i**2 + 0. Find the first derivative of k(a) wrt a.
4*a
Let z(i) = -9*i**3 - 7*i**2 + 3*i + 3. Let o(y) = -y**2 - y - 1. Let h(f) = 3*o(f) + z(f). What is the third derivative of h(d) wrt d?
-54
Suppose -4*s + 11 + 17 = -4*g, 2*s + 6 = -3*g. Find the second derivative of -7*b**4 + b**4 - s*b + b**4 - 3*b wrt b.
-60*b**2
Let g(r) be the second derivative of r**5/30 - 5*r**4/24 + r**2/2 + r. Let s(l) be the first derivative of g(l). Find the second derivative of s(z) wrt z.
4
Find the second derivative of 17*p**2 + 10*p**2 - 29*p + 11*p wrt p.
54
Let q = 190 + -190. Let j(i) be the first derivative of 4/5*i**5 - 4 + q*i**2 + 2/3*i**3 + 0*i + 0*i**4. What is the third derivative of j(b) wrt b?
96*b
Let d(r) be the third derivative of 19*r**6/120 + r**5/15 - 7*r**2. Find the third derivative of d(c) wrt c.
114
Let c(l) be the third derivative of -11*l**4/24 + 11*l**3/6 - 11*l**2. What is the derivative of c(s) wrt s?
-11
Let o(c) be the second derivative of -c**4/4 + 3*c**2/2 - 6*c. Differentiate o(b) with respect to b.
-6*b
Let a(u) be the second derivative of u**6/30 - u**2 - 5*u. Differentiate a(c) wrt c.
4*c**3
Suppose 0*a - 4*a + 16 = 0. What is the third derivative of -5*z**2 - 4*z**4 - 3*z**4 + z**a wrt z?
-144*z
Let u = 0 - -4. Suppose -5 - u = -c. Differentiate 11 - o**3 + 2*o**3 - 3*o**3 - c wrt o.
-6*o**2
Let l(t) be the first derivative of 16*t**7/7 + 23*t**3/3 - 7. Find the third derivative of l(h) wrt h.
1920*h**3
Suppose 16 = -3*j - j. Let n be j/(-18) + (-100)/(-36). What is the second derivative of 0*f - n*f + f + f**5 wrt f?
20*f**3
Let d(u) be the third derivative of u**6/30 - 5*u**3/2 - 18*u**2. What is the first derivative of d(g) wrt g?
12*g**2
What is the second derivative of -2 + 32*a + 283*a**4 + 2 - 295*a**4 wrt a?
-144*a**2
Let k(c) be the second derivative of -3*c**8/56 - c**4/3 + 5*c. What is the third derivative of k(w) wrt w?
-360*w**3
Let y = -14 - -16. What is the first derivative of 7 - 4*s**y - 2 - 1 wrt s?
-8*s
Let c(z) be the second derivative of 5/12*z**4 + 0*z**3 + 0*z**5 + 7*z + 1/14*z**7 + 0*z**2 + 0 + 0*z**6. What is the third derivative of c(s) wrt s?
180*s**2
Let i(x) be the second derivative of 0 + 0*x**2 - 1/2*x**3 + 1/10*x**5 + 3*x + 0*x**4. What is the second derivative of i(v) wrt v?
12*v
Let o(u) be the second derivative of -9*u**5/20 - 11*u**3/6 - 10*u. Find the second derivative of o(y) wrt y.
-54*y
Let k(t) be the third derivative of -t**5/15 + 5*t**3/6 + 5*t**2. Find the first derivative of k(m) wrt m.
-8*m
Suppose r = 2*r - 6. Let l(b) = -6*b + 0*b + 2*b + 1 - r. L