rd derivative of a(c) wrt c?
48
Let q(o) be the first derivative of 0*o**2 + 0*o**5 - 1 + 0*o + 0*o**4 + 1/2*o**6 + 5/3*o**3. What is the third derivative of q(a) wrt a?
180*a**2
Let d be (-25)/(-3) + (-4)/12. Suppose -6*o + d = -4*o. Find the third derivative of -o*b**4 - 7*b**4 + 5*b**4 + 2*b**4 - 3*b**2 wrt b.
-96*b
Let r(c) = 3*c**3 - 33*c**2 + 7*c - 7. Let n(y) = y**3 - 17*y**2 + 3*y - 3. Let v(b) = 7*n(b) - 3*r(b). What is the third derivative of v(x) wrt x?
-12
Let a(i) = 2*i**2 + 3*i - 4. Let m be a(-3). What is the first derivative of -m*x**3 + 2*x**3 - 7 + 5 wrt x?
-9*x**2
Suppose k = 3*c - 1, -c + 2*k + 27 = 7*k. Find the third derivative of -z**2 + 3*z - 3*z + 2*z**6 + 4*z**c wrt z.
240*z**3
Let o(s) = 7*s**4 + 2*s**3 + s**2 + 2*s - 2. Let p(b) = b**4 - b**3 - b**2 - b + 1. Let l(k) = -o(k) - 2*p(k). What is the third derivative of l(w) wrt w?
-216*w
Suppose 0 = -4*n + 5*z + 33, -4*n - 3*z - 2*z = -23. Differentiate -21*y + 9*y - 7 + n*y**4 + 12*y wrt y.
28*y**3
Let d(k) be the first derivative of k**7/42 - 2*k**3/3 + 4*k - 7. Let l(m) be the first derivative of d(m). What is the second derivative of l(f) wrt f?
20*f**3
Let n be (2 - 5)/(4 - 3). Let t(y) = 6*y. Let q(d) = 7*d - 1. Let h(o) = n*t(o) + 4*q(o). Differentiate h(p) wrt p.
10
Suppose 2*q = 4*q. Find the third derivative of -5*c**2 + q*c**3 - 6*c**3 - 3*c**3 wrt c.
-54
Let w(o) = -23*o**2 - 6*o + 23. Let x(u) = 22*u**2 + 7*u - 23. Let q(l) = -7*w(l) - 6*x(l). What is the first derivative of q(h) wrt h?
58*h
Let s(v) = -7*v**3 - 5*v**2 + 61*v + 4. Let d(z) = -8*z**3 - 5*z**2 + 62*z + 5. Let m(g) = -4*d(g) + 5*s(g). Find the second derivative of m(o) wrt o.
-18*o - 10
Find the third derivative of 10*n**4 - 7*n**4 - 4*n**4 - 29*n**2 wrt n.
-24*n
Let w(i) = i**4 - i**2 + i. Let x(v) = -4*v**4 + 5*v**2 + 8*v. Let o(f) = 5*w(f) + x(f). What is the second derivative of o(s) wrt s?
12*s**2
Let c(u) be the second derivative of u**5/20 + 3*u**3/2 - 5*u. What is the second derivative of c(k) wrt k?
6*k
Let a(d) be the second derivative of 2*d**6/5 - 3*d**3/2 + 12*d. Find the second derivative of a(m) wrt m.
144*m**2
Let a(s) = -6 + 5 + 16 + 11*s - 7*s**2 + 2*s**2. Let q(v) = v**2 - 3*v - 4. Let z(o) = -6*a(o) - 22*q(o). Differentiate z(d) wrt d.
16*d
Suppose 4*d + 10 = 5*l - 6, -3 = -3*d. Differentiate 8 - l + s**2 + 3 + 6*s**2 with respect to s.
14*s
Let y(k) be the third derivative of -2*k**2 + 0*k + 1/3*k**3 + 1/20*k**5 + 0 + 0*k**4. Find the first derivative of y(p) wrt p.
6*p
Let z(y) be the first derivative of 2*y + 0*y**3 + 0*y**2 + 1 - 2/5*y**5 + 0*y**4. Differentiate z(x) with respect to x.
-8*x**3
Let n = -6 + 9. Suppose 0 = -4*c + 3*b + 6, -n*c - 4*b - 8 + 25 = 0. Find the third derivative of -2*d**c + 2*d**2 + d**2 - d**3 wrt d.
-18
Let y(k) = 35*k**4 + 14*k**2 - 42*k + 42. Let o(c) = -c**4 + c - 1. Let p(b) = 42*o(b) + y(b). What is the third derivative of p(z) wrt z?
-168*z
Let r(v) be the second derivative of v**8/6720 - v**5/120 + v**4/6 - 3*v. Let h(s) be the third derivative of r(s). What is the first derivative of h(z) wrt z?
3*z**2
Let t(j) = -2*j**3 - j**2 - j. Let n be t(-1). What is the third derivative of -s**n + 6*s**2 - s**5 - 4*s**5 wrt s?
-300*s**2
Suppose -5*h = -4*b - 0*b - 7, -2*h = 4*b - 14. Suppose -k + h + 0 = 0. What is the second derivative of -5*x**3 + 7*x**k - x**3 + 3*x wrt x?
6*x
Let j(w) = 5*w**3 - w**2 - 6*w - 1. Let l(b) = -b**3 - b**2 - b - 1. Let t(f) = 3*j(f) - 3*l(f). Find the second derivative of t(p) wrt p.
108*p
Suppose -3*r - r = -20. Suppose 1 + r = 3*g. What is the second derivative of -1 + g*d - d**4 + 1 wrt d?
-12*d**2
What is the third derivative of 8*j**2 - 24*j**2 - 8*j**2 + 18*j**4 wrt j?
432*j
What is the third derivative of 0*v**4 + 2*v**2 - v**2 - 5*v**4 wrt v?
-120*v
Find the second derivative of -3*w**4 - 5*w - 17*w**3 + 17*w**3 wrt w.
-36*w**2
Let q(w) be the third derivative of -3*w**6/40 - w**3/6 - 2*w**2. What is the first derivative of q(n) wrt n?
-27*n**2
Let d(p) = -7*p**3 - 6. Let m(k) = k**3 - k**2 + 1. Let u(i) = -d(i) - 6*m(i). Find the third derivative of u(x) wrt x.
6
Let h(n) be the first derivative of 4*n**3/3 - 6*n - 7. Differentiate h(m) wrt m.
8*m
Let a = 0 + 30. What is the third derivative of -a + 2*q**4 + 4*q**2 + 30 - 11*q**2 wrt q?
48*q
Let x = 13 - 9. Suppose -j = 3*j - 4, -4*j - x = -4*b. Find the second derivative of b*z - z + 2*z - 2*z**3 wrt z.
-12*z
Let k(o) be the second derivative of o**3/6 + o**2/2 - o. Let g be k(2). What is the third derivative of -q**4 + g*q**4 + 2*q**2 - 3*q**4 wrt q?
-24*q
Let y(m) = 11*m**2 + 45. Let s(b) = 5*b**2 + 22. Let d(l) = -10*s(l) + 4*y(l). Find the first derivative of d(h) wrt h.
-12*h
Let w(u) = 30*u**2 - 25*u + 68. Let r(f) = 16*f**2 - 13*f + 34. Let t(v) = 11*r(v) - 6*w(v). What is the derivative of t(n) wrt n?
-8*n + 7
Differentiate 462*k**2 + k**3 - 461*k**2 + 44 + 15*k**3 wrt k.
48*k**2 + 2*k
Let y(w) = 4*w**2 - 2*w + 3. Let f(i) = 12*i**2 + 70 - i - 6*i - 60. Let p(b) = 2*f(b) - 7*y(b). Differentiate p(s) with respect to s.
-8*s
Let o(b) be the third derivative of 0*b + 1/3*b**3 - 1/40*b**6 + 0 + 2*b**2 + 0*b**5 + 0*b**4. Differentiate o(d) wrt d.
-9*d**2
Let f(c) be the first derivative of 5*c**9/3024 - c**5/30 + c**3/3 - 3. Let o(k) be the third derivative of f(k). Find the second derivative of o(t) wrt t.
100*t**3
Let x(w) be the second derivative of -w**5/20 - 5*w**4/24 + w**2/2 - 3*w. Let d(k) be the first derivative of x(k). What is the second derivative of d(m) wrt m?
-6
Let o(y) be the first derivative of 13*y**6/3 + 29*y**2/2 + 26. Find the second derivative of o(t) wrt t.
520*t**3
Let k(c) be the first derivative of c**4/2 - c**2/2 - 2*c - 7. Let m(b) be the first derivative of k(b). Differentiate m(a) with respect to a.
12*a
Let y = 4 + 1. Suppose 3*p + 2*p = y*v - 5, 4*v - p - 7 = 0. Find the first derivative of -q + 2 - 6 + v wrt q.
-1
Let f = 3 - -2. Suppose 2 = f*w - 28. Let r(t) = 8*t - 9. Let d(u) = 7*u - 8. Let v(x) = w*d(x) - 5*r(x). What is the derivative of v(c) wrt c?
2
Let a(l) = l**2 - 15*l + 16. Let t be a(14). What is the third derivative of -31 + 31 + i**t + 7*i**3 wrt i?
42
Suppose 2*r - 7*r = -15. Let p(y) be the first derivative of 0*y**2 + 0*y**4 + 1/5*y**5 + 2*y + 0*y**r + 1. Find the first derivative of p(m) wrt m.
4*m**3
Let d(o) be the second derivative of o**6/40 - o**5/12 - o**2 - 6*o. Let i(b) be the first derivative of d(b). What is the third derivative of i(j) wrt j?
18
Let b(p) = p**5 - 4*p**3 + 6*p. Let q(a) = 4*a**5 - 2*a**5 + 0*a**5 - 5*a**3 + 7*a. Let o(d) = 5*b(d) - 4*q(d). Find the second derivative of o(f) wrt f.
-60*f**3
Let q(i) be the second derivative of 0*i**2 - 1/2*i**4 + 0 - 1/20*i**5 - 7*i + 0*i**3. Find the third derivative of q(l) wrt l.
-6
Find the third derivative of -2*a**2 + 2*a**2 - 2*a**4 + a**2 - 5*a**2 wrt a.
-48*a
Let o(n) be the first derivative of 0*n**4 - 1/3*n**6 - 1 - n**2 + 0*n**3 + 0*n**5 + 0*n. What is the second derivative of o(b) wrt b?
-40*b**3
Let s(f) = 5*f - 2*f**3 - 4*f + 3*f**3. Let t(q) = 3*q + 5*q**3 - q**2 + 0*q**3 + 0*q. Let u(r) = 3*s(r) - t(r). Find the third derivative of u(o) wrt o.
-12
Suppose 4*i + i = 10. What is the derivative of -3 + 2 - i*w**4 - 1 wrt w?
-8*w**3
Let h(q) be the second derivative of 0*q**2 - 8*q + 0*q**6 + 0 + 0*q**5 + q**3 + 0*q**4 + 1/14*q**7. What is the second derivative of h(g) wrt g?
60*g**3
Let s(h) be the second derivative of -h**4/4 - h**3/3 - 10*h. Find the second derivative of s(o) wrt o.
-6
Let o(i) = -3*i + 1. Suppose 2*y + 2 = -0. Let g be o(y). Find the first derivative of 3*n + 2 + 0 - g*n wrt n.
-1
Let o(i) = -2*i**4 - 3*i**2 + 2. Let j(k) = -k**4 - k**2 + 1. Let w = -11 + 17. Let q(x) = w*j(x) - 2*o(x). Differentiate q(f) wrt f.
-8*f**3
Suppose 4*r - 6 = -j - 0*j, 3*j - 9 = -3*r. Find the third derivative of f**2 - 6 + 6*f**6 + 6 + 2*f**j wrt f.
720*f**3
Let x be ((-4)/5)/((-12)/90). Suppose 0 = x*f - f. Find the first derivative of 2*m + 0 + f - 2 wrt m.
2
Let m(u) be the third derivative of -13*u**5/30 + u**3/2 - 35*u**2. Find the first derivative of m(h) wrt h.
-52*h
Let a(c) be the third derivative of -8*c**2 - 1/30*c**5 + 0 + 0*c**3 - 1/168*c**8 + 0*c**7 + 0*c**6 + 0*c + 0*c**4. Find the third derivative of a(b