. What is the third derivative of i(c) wrt c?
-18
Let d(i) be the first derivative of 14*i**6/3 - 19*i**3/3 - 2. Find the third derivative of d(n) wrt n.
1680*n**2
Let q(f) be the first derivative of -4/3*f**3 + 0*f**2 + 2 + 0*f**5 + 0*f**4 + 1/6*f**6 + 0*f. Find the third derivative of q(u) wrt u.
60*u**2
Let a(g) be the first derivative of -1 + 3/2*g**2 + 0*g**3 + 0*g + 2/5*g**5 + 0*g**4. What is the second derivative of a(n) wrt n?
24*n**2
Let s(v) = -v - 1. Let c(i) = 0 - 1 - 1. Let x(j) = -6*c(j) + 4*s(j). What is the first derivative of x(d) wrt d?
-4
Let a(q) = q**4 - q**3 - q**2 - q - 1. Let c(m) = 3*m**3 + 3*m**2 + 13*m + 3. Let o(k) = -3*a(k) - c(k). What is the second derivative of o(b) wrt b?
-36*b**2
Let p(w) be the first derivative of -w**5/5 + 3*w**2/2 - 3. What is the second derivative of p(b) wrt b?
-12*b**2
Let f = 1 - -1. Suppose -2*y - 2*d = -10, d - 13 = -2*y - 2*d. What is the third derivative of 3*b**3 - 2*b**y - 3*b**3 + f*b**3 wrt b?
12
Let d(x) = -2*x + x**2 - x - 2*x - 1. Let u be d(6). What is the third derivative of -4*w**2 - 3*w**5 + 2*w**2 + u*w**5 wrt w?
120*w**2
Suppose -5*i = -h - 7, 0 = 2*h + 2*h - 5*i + 13. Let v(b) = -b. Let t be v(h). What is the derivative of 3*u - 2*u - 2 - t*u wrt u?
-1
Differentiate 2*m**2 - 7 + 4*m**3 - 4*m**2 + 2*m**2 with respect to m.
12*m**2
Let a(d) be the second derivative of -5*d**4/12 - 5*d**3/6 - 4*d. What is the second derivative of a(n) wrt n?
-10
Let u(f) be the first derivative of 0*f**3 + 0*f**2 - 2/5*f**5 - 3 - 5*f + 0*f**4. Differentiate u(x) wrt x.
-8*x**3
Let r(b) be the third derivative of -1/20*b**5 + 0*b**7 + 4*b**2 + 0*b**6 + 0*b + 0*b**4 + 0 + 1/42*b**8 + 0*b**3. Find the third derivative of r(h) wrt h.
480*h**2
Let s be 4*(2 + 0/3). Suppose -j - 1 + 5 = m, 2*m - s = -5*j. Differentiate 6*i - 2*i**m - 6*i + 1 with respect to i.
-8*i**3
Let z(q) = 6*q**3 + 2*q**2 + 17*q - 2. Let l(b) = -b**3 - b**2 - b + 1. Let t(m) = -2*l(m) - z(m). Find the second derivative of t(x) wrt x.
-24*x
Let o(n) = 11*n**4 - 2*n**3 - 2*n**2 + 5*n - 47. Let b(i) = i**4 + i**3 + i**2 - i. Let s(c) = -2*b(c) - o(c). Find the first derivative of s(q) wrt q.
-52*q**3 - 3
Find the third derivative of 10*x**2 + 0 + 4 - 4 + 11*x**4 wrt x.
264*x
Let g(c) be the first derivative of c**4/4 + 10*c**3/3 - 11*c - 2. Let h(a) = a**2 - 1. Let u(n) = -2*g(n) + 22*h(n). Find the third derivative of u(x) wrt x.
-12
Let z(g) = g**2 + g + 1. Let p(u) = 68*u**2 - 3*u - 1. Let f(w) = -p(w) + z(w). What is the second derivative of f(t) wrt t?
-134
Suppose 4*h - 4 = 4. Let n(l) be the first derivative of -l + 0*l**4 + 1/5*l**5 + 0*l**3 + 0*l**h - 1. Find the first derivative of n(a) wrt a.
4*a**3
Let h(x) be the third derivative of -8*x**5/15 + 29*x**4/12 + 25*x**2 + x. Find the second derivative of h(v) wrt v.
-64
Let a(c) = 0*c + 6*c + 2*c**2 + c**3 + 5*c**2. Let n be a(-6). Find the second derivative of -x**2 + x + n*x + 0*x**2 wrt x.
-2
Let h(j) = j. Let z be h(-5). Let n(f) = 9*f**2 - 9*f. Let k(x) = -44*x**2 + 44*x. Let o(d) = z*k(d) - 24*n(d). Find the second derivative of o(r) wrt r.
8
Find the second derivative of -17*v + 8*v + v - 6*v - 15*v**2 wrt v.
-30
Let b be (-6)/(5 + -3) + 2 + 4. Let j(r) be the first derivative of 0*r**2 - 3/4*r**4 + r + 0*r**b + 2. Find the first derivative of j(x) wrt x.
-9*x**2
Let j(d) = d + 1. Suppose -1 = -5*q + 4. Let z(n) = 0*n**3 - n**2 + n + 1 + n**3 + 1 - q. Let i(t) = -3*j(t) + 3*z(t). Find the third derivative of i(s) wrt s.
18
Let t(b) = 1. Let o(i) be the first derivative of i**3/3 + i + 2. Let s(k) = -o(k) - 2*t(k). What is the first derivative of s(w) wrt w?
-2*w
Let k(m) = -m**2 - 6*m + 2. Let p be k(-6). What is the first derivative of 5 - 3 + 4*x**p - x**2 wrt x?
6*x
Let w(t) = 4*t**3 + t - 1. Let q be w(1). Suppose 3*j = 5*j - 8. What is the third derivative of p**j - 2*p**4 + 2*p**q - p**2 wrt p?
24*p
Let x(c) = 3*c**3 + 5*c**2 - 5*c + 3. Suppose -y = -0*y + 1. Let r(k) = k**2 - k + 1. Let u(v) = y*x(v) + 5*r(v). Differentiate u(n) with respect to n.
-9*n**2
What is the third derivative of -87*u**4 + 102*u**4 + u**2 - 6*u**2 wrt u?
360*u
Let g(w) = -w**2 - 28*w - 72. Let a be g(-25). Let t(r) be the third derivative of a*r**2 + 0 + 0*r - 2/3*r**3 - 1/6*r**4. Differentiate t(c) with respect to c.
-4
Let k(p) = p + 8. Let x be k(-5). Find the first derivative of x*l**2 - 8 + 11 - 2 wrt l.
6*l
Let r(x) be the first derivative of 16*x**5/5 - 17*x**3/3 + 12. What is the third derivative of r(v) wrt v?
384*v
Suppose -5*l = -3*w - 2*w + 15, -3*w = -l + 1. Let m be (-3*(0 + 2))/w. What is the third derivative of -4*h**2 + h**m + 3*h**2 - 3*h**2 + 5*h**2 wrt h?
6
Let t(m) be the second derivative of -m**8/3360 - m**6/180 + m**4/12 - m. Let p(z) be the third derivative of t(z). What is the second derivative of p(g) wrt g?
-12*g
Let k = 6 - 4. Find the third derivative of -2*j**2 + 2*j**2 + 5*j**5 - k*j**5 + j**2 wrt j.
180*j**2
Let d be 2 + (-2)/(-5 + 3). Let p be (-1)/((-3)/(-2))*-3. What is the derivative of -2 - 2*j**3 + d*j**3 - p*j**3 wrt j?
-3*j**2
Let i = 4 - 2. Suppose j + y - 3 = -i, 3*y - 1 = -2*j. Differentiate o**2 + j + o**3 - o**2 wrt o.
3*o**2
Suppose 3 + 5 = 2*z - 4*v, 3*z - 16 = 2*v. Differentiate u**3 + 4 - z - 2 wrt u.
3*u**2
What is the second derivative of -8*q - 11*q**2 - 3*q + 25*q**2 wrt q?
28
Let c(t) = -t**2 + 7*t + 3. Let r be c(7). What is the second derivative of -3*j - 4*j**3 + 3*j**3 - 3*j**r wrt j?
-24*j
Let r = -2 + 4. Find the second derivative of -a**2 - a**2 - 7*a + 3*a + 4*a**r wrt a.
4
Let r be -2 - (-3)/(27/21). Let d(t) be the first derivative of -2*t + 0*t**2 - r*t**3 - 2. Differentiate d(m) wrt m.
-2*m
Let y(k) be the second derivative of k**6/72 - k**5/30 - k**3/3 - k. Let g(o) be the second derivative of y(o). What is the second derivative of g(r) wrt r?
10
Let l(y) = -y**2 - 5*y - 4. Let w be l(-3). Suppose -w*v = 4*t - 0*v - 6, -4*t + 4 = 4*v. Find the second derivative of -3*f + f - t*f**4 + 0*f + f wrt f.
-24*f**2
Find the second derivative of r**5 - 5*r**2 - 2*r + 5*r**2 - 3*r**5 wrt r.
-40*r**3
Let h = 6 + -3. Find the second derivative of -p + 0*p**5 - 2*p**5 - 3*p**2 + h*p**2 wrt p.
-40*p**3
Let n(p) be the second derivative of -p**5/10 + 4*p**3/3 + 27*p. What is the second derivative of n(m) wrt m?
-12*m
Let k(z) be the second derivative of -3*z**2 + 0 - 1/20*z**5 + 0*z**3 + 0*z**4 - 7*z. Differentiate k(g) with respect to g.
-3*g**2
Suppose 0 = 3*l + 3, 3*l + 2 = -d - l. Differentiate -2 + 12 - 3*f**d - 9 wrt f.
-6*f
Let k(h) be the first derivative of 0*h**2 + 0*h + 1/3*h**3 - 2 + 3/4*h**4. What is the third derivative of k(t) wrt t?
18
Find the third derivative of -5*p**5 - 10*p**2 - 367 + 367 wrt p.
-300*p**2
Suppose s - 2*s = -2. Suppose -9 = -5*o + s*o. What is the first derivative of o*z - 3 + z**3 + z - 4*z wrt z?
3*z**2
Let x(v) be the third derivative of -19*v**5/60 - 5*v**4/24 - 7*v**2. Find the second derivative of x(m) wrt m.
-38
Suppose q + 0*q = 2*n + 6, -3*n + q - 7 = 0. Let c be (-1 - n) + 1 + 1. Find the third derivative of -5*l**2 + l**5 + 0*l**2 + c*l**2 wrt l.
60*l**2
Let n(v) = -v**2 + 2. Let f be n(0). What is the first derivative of -1 - 12*u**f - 1 + 14*u**2 - 2 wrt u?
4*u
Let m(v) be the second derivative of -7*v**6/30 - v**4/12 - 3*v. Find the third derivative of m(n) wrt n.
-168*n
Let d(k) = 31*k**2 - k + 18. Let g(x) = 60*x**2 - 2*x + 35. Let l(n) = -5*d(n) + 3*g(n). Find the second derivative of l(c) wrt c.
50
Let f be (19 + -4)/((-6)/(-28)). Find the first derivative of 2 - f*c**4 + 3 + 65*c**4 wrt c.
-20*c**3
Let d be (-2)/(-4) - (-44)/8. Find the second derivative of 2*g**2 + 0*g**2 + 2*g - d*g**2 wrt g.
-8
Let k(u) be the third derivative of -5*u**6/24 - u**5/4 - 16*u**2. Find the third derivative of k(w) wrt w.
-150
Let b = -18 + 12. Let x(o) = 12*o**2 + 11*o + 8. Let d(v) = -3*v**2 - 3*v - 2. Let a(i) = b*x(i) - 22*d(i). What is the first derivative of a(m) wrt m?
-12*m
Let j(p) = p**4 - 5*p**2 - 3*p. Let m(v) = 2*v**4 - 11*v**2 - 5*v. Let q(z) = -5*j(z) + 3*m(z). Find the third derivative of q(l) wrt l.
24*l
Suppose 5*a - 25 = -2*x, -x + 27 = 2*x + 4*a. Find the third derivative of x*r**2 - r**2 + 5*r**5 - r**2 - 4*r**5 wrt r.
60*r**2
Let q(g) be the second derivative of 