he third derivative of f(t) wrt t?
480*t**3
Let h(v) be the second derivative of -7*v**4/12 - 5*v**2 + 15*v. What is the first derivative of h(i) wrt i?
-14*i
Let g = -58 - -58. Let h(a) be the third derivative of 3*a**2 + g - 1/2*a**3 - 1/60*a**5 + 0*a + 0*a**4. Differentiate h(n) with respect to n.
-2*n
Let h(j) be the first derivative of j**4/24 - j**3/6 + 3*j**2/2 + 1. Let z(q) be the second derivative of h(q). Differentiate z(k) with respect to k.
1
Let z(t) = -t**4 + 19*t**3 - 39*t + 3. Let m(b) = 18*b**3 - 40*b + 2. Let d(p) = -3*m(p) + 2*z(p). What is the second derivative of d(o) wrt o?
-24*o**2 - 96*o
Let l = 2 + -2. Let f(g) be the third derivative of 0 + 0*g**4 + 0*g + 1/60*g**6 + 2*g**2 + l*g**3 - 1/30*g**5. Find the third derivative of f(u) wrt u.
12
Let f(w) be the third derivative of 0*w**7 - 1/12*w**4 + 0*w**6 + 1/112*w**8 + 0*w + 0*w**5 + 0*w**3 - 3*w**2 + 0. What is the second derivative of f(n) wrt n?
60*n**3
Suppose 0 + 8 = 2*o. Suppose -o*s + 0 + 20 = 0. What is the third derivative of s*m**3 - m**3 - m**6 + m**2 - 4*m**3 wrt m?
-120*m**3
Suppose 4 = 4*q - 4. Let s(o) be the first derivative of -1/2*o**4 - q*o + 0*o**3 + 2 + 0*o**2. Find the first derivative of s(m) wrt m.
-6*m**2
Find the second derivative of 2*y + 3*y - y**5 - 4*y - 3*y**5 wrt y.
-80*y**3
Let h = -10 - -13. Find the third derivative of j**2 + 4*j**5 + 4*j**2 + h*j**2 wrt j.
240*j**2
Find the third derivative of 10*o**2 + 0*o**6 - 4*o**2 - 2*o**6 wrt o.
-240*o**3
Let z(n) be the third derivative of n**9/504 + n**5/15 - 11*n**2. What is the third derivative of z(g) wrt g?
120*g**3
Let t(u) be the second derivative of -u**6/240 + u**5/40 - 3*u**4/4 - 6*u. Let k(h) be the third derivative of t(h). What is the first derivative of k(c) wrt c?
-3
Let i(u) be the third derivative of 0*u**6 + 0*u**3 + 5/336*u**8 + 1/24*u**4 + 0 + 0*u**5 + 5*u**2 + 0*u + 0*u**7. What is the second derivative of i(j) wrt j?
100*j**3
Let h(g) be the first derivative of -g**7/420 - g**4/4 + g**3/3 - 1. Let d(w) be the third derivative of h(w). What is the first derivative of d(o) wrt o?
-6*o**2
Let i(v) = 2*v - 6. Let u be i(4). Find the third derivative of -l**2 + 0*l**2 - l**6 - u*l**6 wrt l.
-360*l**3
Let c(a) = 10*a**5 - 5*a**3 - 10*a. Let h(p) = -9*p**5 + 4*p**3 + 9*p. Let m = -13 + 8. Let n(b) = m*h(b) - 4*c(b). Find the second derivative of n(d) wrt d.
100*d**3
Let j(r) = -r + 12. Let b be j(7). Let g be 0 - b/2*-2. What is the third derivative of 3*u**2 - 2*u**5 + 5*u**5 - 3*u**5 - u**g wrt u?
-60*u**2
Let w(l) be the third derivative of 4*l**7/105 + 11*l**5/60 - 12*l**2. What is the third derivative of w(f) wrt f?
192*f
Let p(h) be the third derivative of h**9/15120 - h**6/240 + h**4/8 - h**2. Let w(s) be the second derivative of p(s). Find the second derivative of w(i) wrt i.
12*i**2
Let s(z) be the third derivative of z**8/560 - z**6/120 + z**3/6 + 3*z**2. Let m(r) be the first derivative of s(r). What is the third derivative of m(f) wrt f?
72*f
Let z(f) be the second derivative of -1/10*f**6 + 0 + 0*f**3 + f**2 + 0*f**4 + 0*f**5 + 3*f. Find the first derivative of z(g) wrt g.
-12*g**3
What is the third derivative of -h**3 - 5*h**2 - h**2 - 4*h**3 wrt h?
-30
What is the second derivative of -3*x**5 + 10*x + 12*x**5 + 7*x**5 - 7*x**5 wrt x?
180*x**3
Suppose 0 = -3*y - y + 16. What is the derivative of -4 + 1 + 0*h - y*h + 7 wrt h?
-4
Let c be (-5 - -1)/(10/(-15)). Let w = c + -3. What is the second derivative of 2*x + 5*x**2 - w*x**2 - 3*x**2 wrt x?
-2
Suppose 3*y - 3 = 3. What is the third derivative of -3*a**3 - a + 8*a**y + a wrt a?
-18
Let q(v) = 24*v**4 - 30*v**2. Let d(t) = t**4 + t**2. Let x(m) = d(m) + q(m). Find the third derivative of x(s) wrt s.
600*s
What is the derivative of -40*b**2 - 1 + 7 + 27 + 2 wrt b?
-80*b
Let h(u) be the second derivative of -u**5/20 + 5*u**4/24 - 3*u**2 + 2*u. Let x(f) be the first derivative of h(f). Find the second derivative of x(g) wrt g.
-6
Suppose 0*m = 3*m - 15. What is the third derivative of -2*a**2 + 0*a**2 + a**4 + m*a**2 wrt a?
24*a
Let b be 3/((-9)/6) + 21/3. Let u(o) be the first derivative of 0*o**4 - 1 + 0*o**b - 1/2*o**6 + 0*o + 0*o**2 - o**3. Find the third derivative of u(s) wrt s.
-180*s**2
Let o be 8/(-5)*(-1 - 4). Suppose 3*k = -4*x + 3, 11 = -5*x + 4*k + 38. What is the second derivative of -4*n**x + 11*n + 2*n**3 - o*n wrt n?
-12*n
Let x = -37 + 54. Find the first derivative of -8 + 9*o**4 - x*o**4 + 5*o**4 wrt o.
-12*o**3
Find the third derivative of -7*m**5 - 6*m**2 + 19*m**5 + 9*m**2 wrt m.
720*m**2
Let q(f) be the third derivative of 3*f**8/14 - f**5/20 - 72*f**2. What is the third derivative of q(z) wrt z?
4320*z**2
Suppose -3*n + 12 = 3*r, -n + 1 = 3. What is the third derivative of 3*l**2 + l**2 - 3*l**2 + 6*l**6 - 9*l**r wrt l?
-360*l**3
Suppose -3*x + 12 = 3*d, 0 = 2*x - 2*d - 10 + 2. Let v = x + 0. What is the second derivative of -v*f**2 + 3*f - 2*f**3 + 4*f**2 - 5*f wrt f?
-12*f
Let j(t) = 5*t**2 + 2*t + 1. Let n be j(-1). Find the third derivative of w**3 - n*w**4 + 7*w**2 + 0*w**4 - w**3 wrt w.
-96*w
Suppose -4*z - 4 = 5*u, 2*z - 3 = -3*u - 7. Suppose -k = z*k. Find the first derivative of -2*x + k*x + 4*x - 2 wrt x.
2
Let c(p) = 19*p**4 - 8*p**3 + 6*p**2 - 46. Let v(g) = 39*g**4 - 17*g**3 + 13*g**2 - 93. Let b(i) = 13*c(i) - 6*v(i). What is the derivative of b(m) wrt m?
52*m**3 - 6*m**2
Let g(x) be the second derivative of -3/20*x**5 + 3*x + 0 + 0*x**4 - 1/2*x**2 + 0*x**3. What is the derivative of g(a) wrt a?
-9*a**2
Let w = 11 + -8. Suppose -w*n = 2*d - 19, n = -4*d + 2*n + 17. What is the second derivative of -3*t + t**d - 4 + 5*t + 4 wrt t?
20*t**3
Let b(v) = 13*v - 15. Let p(i) = 26*i - 30. Let g(d) = -5*b(d) + 2*p(d). What is the derivative of g(a) wrt a?
-13
Let g = 4 - 2. What is the second derivative of g*q + 7*q**2 - 7*q**2 - q**5 wrt q?
-20*q**3
Let u(x) be the first derivative of x**6/15 - 2*x**5/15 + 7*x**2/2 + 6. Let d(h) be the second derivative of u(h). What is the third derivative of d(k) wrt k?
48
Let p(n) be the second derivative of 0 + 2*n**2 + 3*n - 2/3*n**3. Differentiate p(d) wrt d.
-4
Let t(x) = 3*x**2 - 2*x. Let q(d) = 3*d**2 - 2*d. Let r be (1 + -2)/(1/(-2)). Let j(w) = r*t(w) - 3*q(w). Find the second derivative of j(c) wrt c.
-6
What is the second derivative of -25*z + 24*z**4 - 6*z**3 + 7*z**3 - 2*z wrt z?
288*z**2 + 6*z
Let x(b) be the third derivative of -3*b**8/56 + 7*b**4/12 - 11*b**2. Find the second derivative of x(l) wrt l.
-360*l**3
Let b(w) = w**5 + w**3 - w**2 - w. Let i(n) = 35*n**5 + 6*n**3 - 6*n**2 - 17*n. Let h(y) = 6*b(y) - i(y). What is the second derivative of h(c) wrt c?
-580*c**3
Suppose 0 = 5*j - b + 80, 13 = -j - b + 3. Let u be (2/(-5))/(3/j). What is the derivative of -2 - 2 + 0 + u + p wrt p?
1
Let v = 1 + 1. Let a be 8/(-4)*(-5)/v. What is the second derivative of -k**a + 0*k**3 + 0*k**5 + 2*k + 0*k**3 wrt k?
-20*k**3
Let x = -7 + 10. What is the second derivative of -x*m - 29*m**3 + 31*m**3 + 5*m wrt m?
12*m
Let i(w) be the third derivative of 1/112*w**8 + 3*w**2 + 0*w**6 + 0*w**3 + 0*w**7 + 0*w**5 + 0 + 1/24*w**4 + 0*w. Find the second derivative of i(j) wrt j.
60*j**3
Let h = 4 + 21. What is the second derivative of h - 25 + l + l**3 wrt l?
6*l
Let k(p) be the second derivative of 1/2*p**2 + 1/10*p**5 + 0*p**3 + 0*p**4 + 0 + 3*p. What is the derivative of k(w) wrt w?
6*w**2
Let i(d) be the second derivative of -d**7/504 - d**6/144 - d**4/6 + 5*d. Let f(y) be the third derivative of i(y). Find the second derivative of f(h) wrt h.
-10
Let y(h) be the second derivative of -23*h**4/12 + h**3/6 + 19*h**2 + 72*h. What is the second derivative of y(c) wrt c?
-46
Let t(g) = 36*g**5 - 18*g. Let r(f) = 144*f**5 - 72*f. Let i(z) = -5*r(z) + 21*t(z). Find the second derivative of i(w) wrt w.
720*w**3
Let i(g) be the second derivative of -11*g**5/5 + 3*g**4 - 2*g. Find the third derivative of i(f) wrt f.
-264
Find the first derivative of -1 + 3 - 2*z - 5 wrt z.
-2
What is the first derivative of -15 + 4 + 2*d**3 + 19*d**3 - 8*d**3 wrt d?
39*d**2
Let k(c) = -c**3 + 10*c**2 + 12*c - 9. Let f be k(11). Find the first derivative of -3 - f + 1 + h**3 wrt h.
3*h**2
Suppose -4*m + z + 9 + 1 = 0, m + 3 = 3*z. Let j(t) be the third derivative of 1/24*t**4 +