p**2. What is the third derivative of i(z) wrt z?
240*z**2
What is the second derivative of 21*k**2 - 21*k**2 + 67*k - 16*k + 60*k**2 wrt k?
120
Let f(l) be the first derivative of -l**8/1680 + l**6/120 + 2*l**3/3 + 1. Let w(b) be the third derivative of f(b). Find the third derivative of w(t) wrt t.
-24*t
Let v(r) = -r + 2 + 1 - 1. Let h be v(0). Find the second derivative of -5*j**h + 3*j**2 + 3*j**2 - 2*j wrt j.
2
Let y(w) = -105*w**2 + 90*w + 24. Let l(o) = 21*o**2 - 18*o - 5. Let x(f) = 24*l(f) + 5*y(f). What is the second derivative of x(d) wrt d?
-42
Let q(a) = -9*a**2 + 4*a + 3. Let o(x) = 10*x**2 - 5*x - 4. Let s(k) = 3*o(k) + 4*q(k). What is the second derivative of s(m) wrt m?
-12
What is the third derivative of 5744*s**3 + 35*s**2 - 5744*s**3 - 7*s**6 wrt s?
-840*s**3
Let m(p) = 9*p + 3. Let c(d) = d - 4. Let u be c(-3). Let n(v) = 10*v + 4. Let r(f) = u*m(f) + 6*n(f). What is the first derivative of r(a) wrt a?
-3
Let s(h) = h**2 + 1. Let b(y) = 5*y**3 + 2*y**2 - 1. Let m = -15 - -17. Let c(i) = m*s(i) - b(i). Find the first derivative of c(u) wrt u.
-15*u**2
Suppose -12 = -3*s + 2*w + 3, w - 6 = -3*s. Suppose -5*f + 4*l = -2, 5*f - 20 = -4*l - l. Find the third derivative of -3*k**3 + k**s - k**2 + 2*k**f wrt k.
-12
Let d(j) = -j**3 + j + 1. Let s(u) = 22*u**3 + 36*u**2 - 4*u - 4. Let q(h) = 4*d(h) + s(h). What is the third derivative of q(r) wrt r?
108
Let q(j) = -5 + 0 - 16 - 4*j. Let b(c) = -2*c - 10. Let n(y) = -13*b(y) + 6*q(y). Find the first derivative of n(s) wrt s.
2
Let g(t) = -11*t**2 - 4. Let a(c) be the third derivative of c**5/12 + c**3/3 + 3*c**2. Let k(x) = -5*a(x) - 2*g(x). Find the first derivative of k(p) wrt p.
-6*p
Let f(h) = -5*h + 5. Let t = 2 + -1. Let p(n) = -209*n + 210*n - 2 + 1. Let u(c) = t*f(c) + 6*p(c). Differentiate u(z) with respect to z.
1
Find the second derivative of -16*q**3 + 3*q - 56*q + 18*q**3 + 7*q wrt q.
12*q
Let y(c) = -c**2 + 3. Let d be y(0). Let j = d + -1. What is the second derivative of -4*x + 2*x**2 + 4*x + j*x wrt x?
4
Let y(w) = w**3 + 2*w**2 + 2*w - 2. Let r be y(2). Differentiate 2 - r*a**2 + 12*a**2 + 5*a**2 with respect to a.
-2*a
Let f(d) = 13*d**4 + 6*d**3 - 6*d**2 + 14*d + 6. Let b(w) = w**3 - w**2 - w + 1. Let g(k) = 6*b(k) - f(k). What is the second derivative of g(j) wrt j?
-156*j**2
What is the derivative of -3*k**3 + 2 - 19 + 11*k**3 + 2*k**3 wrt k?
30*k**2
Let a(i) be the second derivative of -i**7/42 + i**4/3 + 6*i. What is the third derivative of a(s) wrt s?
-60*s**2
What is the first derivative of -2*s + 6*s - 8 - 2*s wrt s?
2
Differentiate 0*v**2 - v**2 + 2 - 7 - 5*v**2 wrt v.
-12*v
Let u(t) = -t + 10. Let h = -9 + 16. Let w be u(h). Differentiate -4 + 0 + 0 - w*r + 0 with respect to r.
-3
Suppose 5*a - 2*n - 29 = 0, n + 4*n = -2*a. Find the third derivative of -7*j**2 - a*j**6 + 0 + 0 + 0 wrt j.
-600*j**3
Let s be 7 + -6 + 2*1. Differentiate -3*z**3 + 5 + 3*z**4 + s*z**3 - 3 with respect to z.
12*z**3
Let q(y) be the first derivative of -43*y**3/3 + 25*y**2/2 - 57. Find the second derivative of q(o) wrt o.
-86
Let b(h) be the third derivative of 3*h**2 + 0 - 1/12*h**4 + 1/70*h**7 + 0*h + 0*h**6 + 0*h**5 + 0*h**3. What is the second derivative of b(s) wrt s?
36*s**2
Let x be (-8)/(1 - 3) + -3. Let w be ((-4)/(-2) + x)/1. Find the first derivative of -q + w*q**3 + q - 2 - q**3 wrt q.
6*q**2
Let u = 38 + -34. Let y(r) be the second derivative of r + 0*r**2 - 1/2*r**3 + 0 - 1/4*r**u. What is the second derivative of y(n) wrt n?
-6
Let o(l) be the third derivative of 53*l**7/210 - 25*l**3/3 - 3*l**2 + 1. What is the derivative of o(i) wrt i?
212*i**3
Let o(y) be the first derivative of -3/2*y**2 + 0*y**5 + 2 - 1/6*y**6 + 0*y**3 + 0*y + 0*y**4. What is the second derivative of o(q) wrt q?
-20*q**3
Let o(u) be the second derivative of 0 - 2*u - 1/2*u**3 - 2*u**2. Find the first derivative of o(z) wrt z.
-3
Suppose -2*v + 7*v - 75 = 0. Suppose v + 9 = 3*i. What is the third derivative of i*l**4 - 3*l**2 - 8*l**4 - 2*l**5 - 2*l**5 wrt l?
-240*l**2
Suppose 3*v = v + 6. What is the derivative of 4*j**2 + v - 4 + 0*j**2 - 7*j**2 wrt j?
-6*j
Let n(v) be the third derivative of -v**6/15 - v**5/15 + v**4/12 - 8*v**3/3 - 29*v**2 + 2. What is the second derivative of n(z) wrt z?
-48*z - 8
Let m(s) be the second derivative of s**6/3 - s**4 + 4*s. Find the third derivative of m(j) wrt j.
240*j
Let l = -8 + 9. What is the first derivative of -2*h**3 + 2 - 3*h**3 - 7 - l wrt h?
-15*h**2
Differentiate -5*t + 2*t + 4*t + 10*t + 18 with respect to t.
11
Let n be ((0/3)/(-2))/(-2). Suppose 3*d = 1 + 8, n = -2*b - 2*d + 6. What is the third derivative of b*v**4 - 4*v**2 + 2*v**5 + 0*v**4 wrt v?
120*v**2
Let f = -1 - 0. Let c be ((-16)/(-24))/(f/(-6)). Find the second derivative of 0*w - c + 4 - w**3 - w wrt w.
-6*w
Let g(s) = -6*s**2 - 8*s. Let t(h) = h**2 + h. Let y(j) = -g(j) + 6*t(j). Find the second derivative of y(q) wrt q.
24
Let f(p) = -4*p - 3. Let z = 6 - 8. Let u be f(z). Find the first derivative of u*m - 5*m - m**3 + 2 wrt m.
-3*m**2
Suppose -3*i = -3*a, -2*a = 5*i - 12 - 2. What is the third derivative of -3*z**2 - 5*z**4 + 8*z**4 + 8*z**i wrt z?
72*z
Let t(x) = 22*x**3 + 25*x - 2. Let c(i) = 87*i**3 + 99*i - 9. Let r(j) = -2*c(j) + 9*t(j). What is the second derivative of r(f) wrt f?
144*f
Let p(u) be the third derivative of -u**9/63 - u**5/30 - 5*u**2. Find the third derivative of p(r) wrt r.
-960*r**3
Let a(l) = -3*l. Let h(c) = -3 + c**2 - 3 + 5 - c. Suppose 10*o + 18 = 4*o. Let w(v) = o*h(v) + a(v). What is the derivative of w(r) wrt r?
-6*r
Let g(t) be the first derivative of 16*t**5/5 + 25*t**2/2 - 17. What is the second derivative of g(l) wrt l?
192*l**2
Let r(g) be the third derivative of 7*g**6/120 + 19*g**3/6 + 17*g**2. Differentiate r(o) with respect to o.
21*o**2
Let u(l) be the first derivative of l**8/280 - l**4/8 - 3*l**3 + 8. Let n(s) be the third derivative of u(s). Find the first derivative of n(a) wrt a.
24*a**3
Let p(v) = -v**3 - v**2 - v + 1. Let w(k) = -46*k**4 - 3*k**3 - 3*k**2 - 3*k + 26. Let o(s) = 3*p(s) - w(s). Find the first derivative of o(c) wrt c.
184*c**3
Let t(d) be the first derivative of 13*d**5/5 - 39*d + 22. Find the first derivative of t(k) wrt k.
52*k**3
Suppose -5*u - 63 = -203. Suppose 13 = -5*h - 4*z + 47, -2*h + 2*z = -u. What is the third derivative of -h*t**4 + 9*t**4 + 0*t + 2*t**2 + 0*t wrt t?
-24*t
Let i(d) be the second derivative of d**7/120 + d**4/3 - 5*d**3/6 + 9*d. Let k(f) be the second derivative of i(f). What is the derivative of k(p) wrt p?
21*p**2
Let x(j) = -5*j - 7. Let k(v) = -5*v - 8. Let l(y) = -3*k(y) + 4*x(y). What is the first derivative of l(q) wrt q?
-5
What is the derivative of 8*i**3 + 2 + i**3 - 5 wrt i?
27*i**2
Let j(f) = f**5 + f**3 - f**2 - f + 1. Let d(n) = -6*n**5 - 2*n**3 + 7*n**2 + 2*n - 2. Let q(w) = -d(w) - 2*j(w). Find the third derivative of q(k) wrt k.
240*k**2
Find the second derivative of 4*l - 9*l**2 - 2*l**2 - l - 4*l wrt l.
-22
Let c(r) = -18*r**4 - 3*r**2. Let f(s) = -37*s**4 - 5*s**2 - s. Let j(m) = 5*c(m) - 3*f(m). What is the second derivative of j(p) wrt p?
252*p**2
Suppose 0 = -4*f + f. Differentiate -2 + f + 13*u**2 - 9*u**2 wrt u.
8*u
Let j(n) be the third derivative of -n**6/3 + n**5/10 + n**4/6 + 62*n**2. What is the third derivative of j(a) wrt a?
-240
Let g(n) be the third derivative of -n**5/15 - 3*n**4/8 - 8*n**2. Find the second derivative of g(b) wrt b.
-8
Let y(x) be the first derivative of -14*x**2 + 15*x + 21. Differentiate y(l) wrt l.
-28
What is the second derivative of 15*n - 5*n - 8*n**2 - 2*n**2 + 2*n wrt n?
-20
Suppose -8 = 2*c + o, -4*c - 18 - 4 = 5*o. Let s be (-1)/(-1 + 2) - c. Find the third derivative of -s*t**5 + 2*t**5 - t**2 - 2*t**5 wrt t.
-120*t**2
Let s(r) be the first derivative of -3*r**6 + r**3/3 - 2. What is the third derivative of s(y) wrt y?
-1080*y**2
Let d(w) be the third derivative of 1/168*w**8 + 0*w**7 + 0*w**6 + 0*w**5 + 6*w**2 + 0*w**3 + 0 + 0*w - 5/24*w**4. Find the second derivative of d(x) wrt x.
40*x**3
Let v = -5 - -9. What is the second derivative of v*w - w - 5*w - 2*w**2 wrt w?
-4
Let z(x) = x**3 - 2*x**2 + 2*x + 47. Let o(h) = -3*h**3 + 5*h**2 - 4*h - 95. Let w(v) = 2*o(v) + 5*z(v). What is the derivative of w(r) wrt r?
-3*