4*a + 20*a - 3 + 24*a with respect to a.
-6*a**2
Let g(t) = t**2 + 2*t - 4. Let x be g(-4). Suppose 25 = 5*p, 2 = x*y - 6*p + 4*p. Find the second derivative of -4*j + y*j + 3*j**4 + 0*j wrt j.
36*j**2
Let b be (23/(-3))/((-2)/(-6)). Let j = -8 - b. What is the second derivative of -4*m**3 + 15 - j - m wrt m?
-24*m
What is the derivative of -65*z**2 + 4 + 4 + 54*z**2 + 2 wrt z?
-22*z
Let y(z) be the first derivative of 5*z**3 - 13*z**3 + 9*z**3 + 2*z - 2. What is the first derivative of y(h) wrt h?
6*h
Let v(f) be the first derivative of 47*f**4/4 + f**3/3 - 20*f + 24. Find the third derivative of v(l) wrt l.
282
Let a(v) be the second derivative of 0*v**5 - 2*v + 0*v**2 + 0*v**3 + 0*v**6 - 1/14*v**7 + 0 + 5/12*v**4. What is the third derivative of a(w) wrt w?
-180*w**2
Let y(l) = 4*l**2 + 18*l - 18*l. Let p(d) = -3*d**2 + d. Let m(h) = -3*p(h) - 2*y(h). Find the second derivative of m(b) wrt b.
2
Suppose x + x - 6 = 0. Suppose 2*c = -0*c + 6. Find the third derivative of -j**3 + 0*j**3 + 2*j**x + 6*j**2 - c*j**2 wrt j.
6
Let l(p) = -3*p**3 + 2*p**2 - 3*p. Let y(n) = 11*n**3 - 9*n**2 + 12*n. Let c(o) = 18*l(o) + 4*y(o). Find the second derivative of c(z) wrt z.
-60*z
Let s = -6 - -9. Suppose 2*b + s*b = 15. Find the second derivative of -g**4 - b + 3 - g wrt g.
-12*g**2
Let p(r) = r**2 - 7*r + 8. Let n be p(6). Suppose 2*x = -2*m + 3*m + 7, 3 = -m. What is the second derivative of -8*q + 9*q - x*q - 3*q**n wrt q?
-6
Let g(y) be the first derivative of -y**4/4 + 3*y**2/2 + 8. Find the second derivative of g(j) wrt j.
-6*j
Let r = -7 - -9. What is the second derivative of 3*w**3 - 4*w - 111*w**2 + 111*w**r wrt w?
18*w
Let a(l) = 47*l**2 + 5. Let q(c) = -23*c**2 - 3. Let i(f) = -2*a(f) - 5*q(f). What is the first derivative of i(p) wrt p?
42*p
Let u(b) be the first derivative of 0*b**4 + 0*b**5 + 5/7*b**7 - 4 + 0*b**2 + 0*b**6 + 7/3*b**3 + 0*b. Find the third derivative of u(a) wrt a.
600*a**3
Let w = -17 - -8. Let k be (8/(-6))/(6/w). What is the third derivative of 2*i**2 - 3*i**3 - 4*i**k + 3*i**2 - 4*i**2 wrt i?
-18
Let i(t) be the first derivative of -t**5/40 - t**4/8 + t**3 - 2. Let b(s) be the third derivative of i(s). Differentiate b(a) wrt a.
-3
Find the second derivative of -3*d - 5*d - 17*d**5 - 13*d + 33*d**5 wrt d.
320*d**3
Let g(w) be the third derivative of w**6/24 + 7*w**3/6 - 12*w**2. Find the first derivative of g(d) wrt d.
15*d**2
Let p(z) be the third derivative of 0*z**5 + 0 + 0*z**6 + 1/24*z**4 + 0*z + 0*z**7 + 1/336*z**8 + 0*z**3 - z**2. What is the second derivative of p(j) wrt j?
20*j**3
Let w(n) be the second derivative of 0*n**3 - 1/20*n**5 - n**2 + 0*n**4 + 0 - 4*n. Differentiate w(g) with respect to g.
-3*g**2
Let h be (-4)/6 + 40/(-12). Let l(v) = 20*v**2 - 9*v + 11. Let o(c) = -7*c**2 + 3*c - 4. Let a(r) = h*l(r) - 11*o(r). Find the second derivative of a(f) wrt f.
-6
Let x(p) = p**5 + p**3 - p**2 + 1. Let w(d) = 26*d**5 + 3*d**3 - 3*d**2 - 11*d + 3. Let v(m) = w(m) - 3*x(m). Find the second derivative of v(a) wrt a.
460*a**3
Let s(w) = 23*w**3 + 10. Let l(b) = 11*b**3 + 5. Let v(g) = 5*l(g) - 2*s(g). Differentiate v(u) wrt u.
27*u**2
What is the second derivative of -67*h**5 + 52*h**5 - 9*h - 2*h wrt h?
-300*h**3
Let w(r) = r**2 + 1. Let y(a) = -2 + 3 + 2*a**2 + 3*a**2 + 2. Let n(q) = 4*w(q) - y(q). What is the derivative of n(u) wrt u?
-2*u
Find the third derivative of 3*q**4 + 2*q**4 + 7*q**4 + 8*q**2 wrt q.
288*q
Let n(s) be the third derivative of -s**6/30 - s**5/30 + 7*s**2. Find the third derivative of n(j) wrt j.
-24
Let i(t) be the first derivative of -t**4/12 - 5*t**3/6 + t - 2. Let v(q) be the first derivative of i(q). What is the second derivative of v(l) wrt l?
-2
What is the third derivative of 7*x**2 - 34*x**3 + 983 - 983 wrt x?
-204
What is the third derivative of 0*i**3 - 3*i - 7*i**2 + 3*i + 2*i**3 wrt i?
12
Let p = 22 + -20. Let h(y) be the first derivative of p + 0*y**2 + 1/2*y**4 + 2*y + 0*y**3. Differentiate h(m) with respect to m.
6*m**2
Let u = -8 + 3. Let i = u + 9. What is the second derivative of 7*l + 4*l**5 - 5*l**5 - i*l + 0*l**5 wrt l?
-20*l**3
Let t(r) be the first derivative of 0*r**4 - 1 + 0*r**6 - r**3 + 1/7*r**7 + 0*r**5 + 0*r**2 + 0*r. What is the third derivative of t(n) wrt n?
120*n**3
Let u(r) be the first derivative of 3*r**6/2 - 41*r**2/2 + 26. What is the second derivative of u(v) wrt v?
180*v**3
Let c(r) = -r**2 + 1. Let o(t) = 5*t**3 - 2*t**2 + 3. Let j(h) = -2*c(h) + o(h). What is the derivative of j(v) wrt v?
15*v**2
Suppose 44 = 5*w - 3*m, w = -m + 2*m + 10. Find the third derivative of 2*s**6 - s**6 - w*s**2 - 7*s + 7*s wrt s.
120*s**3
Let q(a) = a**4 - 2*a**3 - a**2 + 2. Suppose -4 = -3*r + r. Let y(g) = -g**3 + 1. Let l(b) = r*y(b) - q(b). What is the third derivative of l(m) wrt m?
-24*m
Let l(y) be the second derivative of y**9/336 + y**5/30 + y**3/2 - 10*y. Let u(h) be the second derivative of l(h). What is the second derivative of u(b) wrt b?
180*b**3
Let g = 1 + 0. Differentiate 0 + g - 3*l - 1 - 3 with respect to l.
-3
Let b be (50/(-15))/(-2) + 2/6. Let r(z) be the first derivative of -1/3*z**3 - 3 + 1/4*z**4 + 0*z**b + 0*z. What is the third derivative of r(g) wrt g?
6
Let p be 8/6*(-3)/(-2). Suppose c - p = -0*c. What is the third derivative of -2*m**6 - 2*m**c + 4*m**6 - 4*m**6 wrt m?
-240*m**3
Let r(b) be the third derivative of 5*b**8/336 - b**4/4 + 2*b**2. What is the second derivative of r(l) wrt l?
100*l**3
Let r(i) be the first derivative of 0*i**4 + 0*i**3 + i + 1 - 3/20*i**5 - 1/2*i**2. Let b(z) be the first derivative of r(z). Differentiate b(h) wrt h.
-9*h**2
Let n(l) be the first derivative of -7*l**2/2 - 2*l + 15. What is the first derivative of n(y) wrt y?
-7
Suppose -u = -3 + 1. Let i be -9 + 10 + 2*1. What is the second derivative of -i*w - 2*w + 2*w - u*w**3 wrt w?
-12*w
Let s(o) be the second derivative of -o**6/120 - o**3/3 - 3*o**2/2 + 2*o. Let b(i) be the first derivative of s(i). Differentiate b(w) with respect to w.
-3*w**2
What is the second derivative of 320*o - 5*o**3 + 25*o**3 - 295*o wrt o?
120*o
Let k(h) = h**2 + 12*h + 16. Let p be k(-11). Find the third derivative of p*x**3 + 2*x**3 - 3*x**2 - 11*x**3 wrt x.
-24
Suppose -5*u - 67 + 17 = 0. Let b = -7 - u. What is the first derivative of 5 + 2*k - 2 - 2 - b wrt k?
2
Let r(t) = t**4 + t**3 + t**2 + t + 1. Let w(i) = -22*i**4 - 4*i**3 + 10*i**2 - 4*i - 4. Let u(g) = -4*r(g) - w(g). What is the third derivative of u(d) wrt d?
432*d
Let p(x) be the first derivative of -x**6/2 - 5*x**3/3 + 5. Find the third derivative of p(l) wrt l.
-180*l**2
Let q(m) = -m**4 + 8*m**2 + 6*m - 29. Let h(b) = -b**4 + b - 1. Let r(k) = 6*h(k) - q(k). Find the first derivative of r(o) wrt o.
-20*o**3 - 16*o
Suppose -4*m = 12, 5*h - 26 = 3*m - 7. Let j be (-1)/h*(0 + -4). Find the third derivative of -3*l**6 + 5*l**6 + 3*l**j + l**2 wrt l.
240*l**3
Let o(r) be the third derivative of 7*r**6/120 - 7*r**5/60 + 7*r**2. Find the third derivative of o(a) wrt a.
42
Let u(p) = 7*p**3 + p**2. Suppose 4*n - 12 = n. Let a(b) = -13*b**3 - 2*b**2. Let c(z) = n*a(z) + 7*u(z). What is the third derivative of c(t) wrt t?
-18
Let c(s) be the first derivative of 0*s**3 - 9*s + 3/4*s**4 + 0*s**2 + 5. What is the derivative of c(v) wrt v?
9*v**2
Let l(y) = y**3 - y + 1. Let k(v) = -v**3 - 6*v**2 + 2*v - 2. Let h(a) = -3*k(a) - 6*l(a). Find the third derivative of h(b) wrt b.
-18
Differentiate -19 + 3*m**3 - 4*m + 8 - 9*m**3 + 9*m with respect to m.
-18*m**2 + 5
Let c = -3 + 8. Find the third derivative of -24*n**5 - 2*n**2 + 23*n**c - n**2 wrt n.
-60*n**2
Let t(j) be the second derivative of -8*j**5/5 + 8*j**2 - 12*j. What is the first derivative of t(u) wrt u?
-96*u**2
Let n = 21 + -13. Find the third derivative of -3*j**2 + j**2 - j**6 + n*j**2 wrt j.
-120*j**3
Suppose 2*h - 7 = -4*p - 1, -2*h = -3*p - 6. Let d(l) be the first derivative of -3 + 2/3*l**h + 0*l - l**2. What is the second derivative of d(a) wrt a?
4
Let t = 4 + -3. Let q be 2*t/2*3. Find the third derivative of -4*m**2 + 3*m**q - m**3 + 2*m**3 wrt m.
24
Let b(o) = -o**2 - 13*o + 2. Let z be b(-13). Find the third derivative of -4 + 4 + p**6 - p**z wrt p.
120*p**3
What is the first derivative of 17*c**2 - 26*c**3 + 7 - 41*c**2 + 24*c**2 wrt c?
-78*c**2