d derivative of p(t) wrt t.
360*t**2
Let w(a) = a**3 + 5*a**2 + 3*a - 1. Let d be w(-4). Let q = 3 - 0. Find the second derivative of -k**d + k + k - k**q wrt k.
-12*k
Let h(b) be the second derivative of 0*b**3 + 0*b**6 - 3*b + 1/28*b**8 + 0*b**5 + 0*b**2 - 1/4*b**4 + 0 + 0*b**7. What is the third derivative of h(k) wrt k?
240*k**3
Let z(t) = -t - 5. Let l be z(-13). What is the first derivative of 4*i**2 + 8 - 3 - l wrt i?
8*i
Find the first derivative of 6*p**2 + 0 - 5 + 0 + p**2 wrt p.
14*p
Let v = -155/12 - -13. Let u(w) be the second derivative of 0*w**3 + 0 - v*w**4 - w - 1/10*w**5 + 0*w**2. Find the third derivative of u(y) wrt y.
-12
Let q(k) = -k + 11. Let o be q(6). Suppose -a = -3, 0 = 5*t + o*a - 17 - 23. Find the first derivative of 3*c - 5*c + t - 1 + 0 wrt c.
-2
Let v(u) = -u + 1. Let z(s) = 3*s - 7. Suppose -m = -0*m. Suppose 2*d - 7*d + 30 = m. Let o(i) = d*v(i) + z(i). Differentiate o(j) with respect to j.
-3
Let y(a) be the third derivative of 8*a**2 - 4/105*a**7 + 0*a + 0*a**6 + 0*a**3 + 0*a**5 + 1/12*a**4 + 0. Find the second derivative of y(g) wrt g.
-96*g**2
Let y be (2/(-1) + 1)*0. Suppose -n - 2*n = -6. Differentiate y*a**3 - 1 - n*a**4 + 0*a**3 wrt a.
-8*a**3
Let z(b) be the first derivative of 0*b**2 + 5/3*b**3 + 2 + 4*b. Differentiate z(r) with respect to r.
10*r
Let y be 62/(-3) - (-4)/(-12). Let i be (-144)/(-14) + 6/y. Find the second derivative of -2*d + 10*d**3 + 2*d**4 - i*d**3 wrt d.
24*d**2
Let p(n) = 28*n**2 + 32*n + 5. Let z(t) = 29*t**2 + 32*t + 6. Let i(d) = -6*p(d) + 5*z(d). What is the second derivative of i(x) wrt x?
-46
Let h(f) be the third derivative of f**9/504 + 2*f**7/105 - f**5/60 - f**4/2 - 21*f**2 - 2*f. What is the third derivative of h(t) wrt t?
120*t**3 + 96*t
Let a(q) = q + 1. Let r(d) = 11*d - 14. Let b(n) = 2*a(n) + 2*r(n). What is the derivative of b(s) wrt s?
24
What is the second derivative of 8*v**4 + 14*v - 10*v**4 + 3*v**4 wrt v?
12*v**2
What is the second derivative of 20*d**2 - 3*d**4 + 7*d - 20*d**2 wrt d?
-36*d**2
Let m(o) = -o**2 + o. Suppose 2*k = 3*k. Let h(r) = 2*r**2 + k*r**2 - 1 - 4*r + 0. Let i(n) = -h(n) - 4*m(n). Differentiate i(x) wrt x.
4*x
Let f(u) be the second derivative of -7*u**6/3 - 13*u**4/12 + u**2 - 75*u. What is the third derivative of f(q) wrt q?
-1680*q
Let z(v) be the third derivative of v**6/120 - v**5/10 - 3*v**2. Let t be z(6). Find the first derivative of -4 + 1 + t + 3*w**4 wrt w.
12*w**3
Let g(y) be the first derivative of 31*y**6/6 - 3*y**2/2 + 7. What is the second derivative of g(f) wrt f?
620*f**3
What is the first derivative of 8*k**3 - 10*k**3 + 4 + 17*k**3 - 10 wrt k?
45*k**2
Let m(v) = 1. Let f(l) = -9*l + 3. Let n(o) = f(o) - 4*m(o). What is the derivative of n(u) wrt u?
-9
Let d be (245/42 - 6)*3*-1. Let a(n) be the second derivative of 1/10*n**5 + 0*n**4 + 0*n**3 + 0 - 4*n - d*n**2. Differentiate a(i) with respect to i.
6*i**2
Let c(a) be the first derivative of a**7/42 + a**3/6 + 3*a - 2. Let j(h) be the first derivative of c(h). Find the second derivative of j(w) wrt w.
20*w**3
Suppose -3*w + 6 = -6. Find the first derivative of -2 + 4 + 0 - w*i**2 wrt i.
-8*i
Find the first derivative of 3*o - 3 + 1 + 0*o + 0 wrt o.
3
Let n(z) = -z**3 - z**2 - z. Let w(d) = -7*d**3 - 6*d**2 - 17*d. Let s(r) = -6*n(r) + w(r). What is the second derivative of s(f) wrt f?
-6*f
Let a = 25 + -16. Let b be (-4)/6 + 6/a. Differentiate 1 - k**4 - 3 + b*k**4 wrt k.
-4*k**3
What is the second derivative of 8*h**3 - h + 6*h + h + 14*h wrt h?
48*h
Let t(j) be the third derivative of j**7/35 + 5*j**3/2 - 2*j**2. Find the first derivative of t(o) wrt o.
24*o**3
Let k(v) be the second derivative of 1/15*v**6 + 0 - 5*v + 0*v**5 + 3/2*v**2 + 0*v**4 + 0*v**3. Differentiate k(m) wrt m.
8*m**3
Let g be (2/5)/(1/25). Suppose 2*z - 4 = -2*u, -4*z + 5*z - g = -5*u. Find the third derivative of 0*c**3 - 2*c**2 - 2*c**3 + 0*c**u wrt c.
-12
Let l(q) be the first derivative of q**7/7 + 14*q**6/3 - 17*q**3 + 46. Find the third derivative of l(f) wrt f.
120*f**3 + 1680*f**2
Let u(c) be the first derivative of -18*c**7/7 - 5*c**3/3 - 9. What is the third derivative of u(y) wrt y?
-2160*y**3
Let r = 1 + 1. Let i(z) = -5*z**2 + r*z**3 - 1 - 5 - 1. Let n(v) = v**3 - 3*v**2 - 4. Let x(b) = 4*i(b) - 7*n(b). What is the third derivative of x(s) wrt s?
6
Let h(c) be the second derivative of c**10/4320 + c**7/504 + 7*c**4/12 - 2*c. Let s(q) be the third derivative of h(q). Find the third derivative of s(k) wrt k.
420*k**2
Find the second derivative of -429*a**3 + 0*a**5 + 5*a + 431*a**3 + 4*a**5 wrt a.
80*a**3 + 12*a
Let r(v) be the first derivative of 1/2*v**2 - 5 + 2*v. What is the first derivative of r(u) wrt u?
1
Let u(s) be the second derivative of 0 + 0*s**3 - 2/21*s**7 + 0*s**2 + 1/3*s**4 + 0*s**5 - 2*s + 0*s**6. What is the third derivative of u(n) wrt n?
-240*n**2
Find the first derivative of -7 + 3 + 31*l - 16 + 3 wrt l.
31
Suppose -12 = -0*m - 3*m. Differentiate 6*i**4 - m - 5 + 2 + 1 with respect to i.
24*i**3
Let o = -6 + 7. Let x(d) = -d. Let v(l) = 0*l - 9*l + l + 2. Let k(t) = o*v(t) - 6*x(t). Find the first derivative of k(p) wrt p.
-2
Let k(j) be the third derivative of -j**6/15 + j**3/6 + 7*j**2. Find the first derivative of k(h) wrt h.
-24*h**2
Let g(p) = p**5 - p**4 + p**3 + p. Let i(w) = -8*w**5 - w**4 + w**3 - 13*w. Let d(x) = -g(x) + i(x). What is the second derivative of d(v) wrt v?
-180*v**3
Let m(t) = t**2. Let j = 12 - 15. Let w(c) = 8*c**2 + 1. Let u(b) = j*m(b) + w(b). What is the first derivative of u(z) wrt z?
10*z
Let f(w) be the first derivative of 0*w**2 + 0*w - 1 + 0*w**4 + 1/2*w**6 - 1/3*w**3 + 0*w**5. What is the third derivative of f(m) wrt m?
180*m**2
Let x be -2 + 5 + -2 + 1. Let u be 6/(-9)*(-3)/2. What is the second derivative of -2*r**3 - u - x*r + 1 wrt r?
-12*r
Differentiate 2*l + 5 - 6*l + 0*l with respect to l.
-4
Suppose -g + 4*y = -5*g + 40, 2*y + 6 = 0. What is the derivative of g - 7 + 3 - 7*k**2 wrt k?
-14*k
Let a(r) be the first derivative of 1 + 0*r**2 + 0*r**3 + r + 1/4*r**4. Differentiate a(p) with respect to p.
3*p**2
Let r(n) = -n**3 - 8*n**2 - n - 5. Let k be r(-8). What is the third derivative of c**5 + 3*c**4 + 3*c**2 - 4*c**5 - k*c**4 wrt c?
-180*c**2
Suppose -3*l + 4*d + 24 = 0, 3*d - 6 = 5*d. What is the derivative of k**3 + k + l - 1 - k wrt k?
3*k**2
Let k(x) be the first derivative of -8*x**3/3 + x**2/2 + 12*x - 35. What is the second derivative of k(t) wrt t?
-16
Let w(p) = p**3 - 8*p**2 + 8*p - 3. Let i be w(7). Let j(d) = d**3 + 4*d**2 + 3*d + 3. Let h be j(-3). Differentiate 0 + n**h + 3 - i with respect to n.
3*n**2
Suppose 5 = -3*g + 8*g. Let u be (-2)/(-1) + (g - 1). Differentiate 4*x**4 - 3*x**4 + u*x**4 + 2 with respect to x.
12*x**3
Let f(q) be the second derivative of -27*q**5/20 + 10*q**4/3 - 27*q. Find the third derivative of f(p) wrt p.
-162
Let f(w) be the third derivative of -19*w**7/105 - 13*w**5/60 + 30*w**2. Find the third derivative of f(s) wrt s.
-912*s
Let v(z) be the second derivative of -3/2*z**2 + 1/3*z**4 + 0*z**3 + 0 - 5*z. What is the first derivative of v(f) wrt f?
8*f
What is the second derivative of 12*b**2 - 8*b - 46*b**2 + 20*b**2 - 3*b wrt b?
-28
Let o = 6 - 1. What is the second derivative of 0*p**o - p - 7*p**5 + 0*p**5 wrt p?
-140*p**3
Let z(x) be the third derivative of -11*x**8/336 + 17*x**4/24 + 10*x**2. Find the second derivative of z(l) wrt l.
-220*l**3
Let l(b) = -5*b**3 + 9. Let w(a) = -2*a**3 + 5. Let z(c) = -3*l(c) + 5*w(c). What is the first derivative of z(y) wrt y?
15*y**2
Let l(h) = -9*h + 1. Let v be l(-1). What is the third derivative of -6*g**2 - v*g**6 + 2*g**6 - 2*g**2 wrt g?
-960*g**3
Let v(q) be the third derivative of 0*q**5 + 0 + 2/105*q**7 + 1/6*q**4 + 0*q + 0*q**3 + 0*q**6 + 2*q**2. What is the second derivative of v(b) wrt b?
48*b**2
Find the third derivative of g**2 - 181*g**4 + g**5 + 181*g**4 wrt g.
60*g**2
Let d(j) be the second derivative of j**6/120 + j**5/24 - 5*j**3/6 - 4*j. Let g(z) be the second derivative of d(z). Find the second derivative of g(h) wrt h.
6
Let q(r) = -15*r**5 + 3*r**4 - 4*r. Let k(y) = 46*y**5 - 8*y**4 + 13*y. Let h(s) = -3*k(s) - 8*q(s). What is the second derivative of h(c) wrt c?
-360*c**3
What is the first derivative of 8