). What is the third derivative of z(a) wrt a?
-144*a
Let s(q) be the second derivative of q**5/10 - q**4/6 - 19*q**3/6 + 2*q - 35. Find the second derivative of s(f) wrt f.
12*f - 4
Find the third derivative of 3*z**2 + 23*z**5 + 22*z**5 - 44*z**5 wrt z.
60*z**2
Suppose -2*a + 18 = 2*y, 3*a - 9 = -y + 14. What is the third derivative of -5 + a - 2 - 2*w**2 - w**3 wrt w?
-6
Let k(x) be the third derivative of -x**8/48 + 7*x**5/60 - 5*x**2. What is the third derivative of k(s) wrt s?
-420*s**2
Let q(g) be the first derivative of -4*g**3/3 - 5*g**2/2 + 2. What is the second derivative of q(r) wrt r?
-8
Let t(m) = m**5 - 2*m**3 + 14*m**2 - 2*m + 2. Let c(n) = n**5 + n**3 + n - 1. Let b(s) = -2*c(s) - t(s). Find the third derivative of b(q) wrt q.
-180*q**2
Let f(p) be the second derivative of -5/6*p**3 + 0*p**5 + 0*p**4 + 0 + 0*p**2 + 4*p + 0*p**6 + 1/21*p**7. What is the second derivative of f(j) wrt j?
40*j**3
Let m(h) be the first derivative of 3 + 0*h**3 - 3/2*h**2 + 0*h + 1/4*h**4. Find the second derivative of m(k) wrt k.
6*k
Let y be 1/3 - 28/(-6). Differentiate 0 + y + 5*f + 0 wrt f.
5
Let s = 3 - 0. What is the derivative of 4*r**3 + 4 + 3*r - s*r - r**3 wrt r?
9*r**2
Let s be (5 - 2) + 1 + 0. Suppose 1 = s*o - 7. Find the third derivative of -3*p**5 + p**2 + o*p**5 + 3*p**5 wrt p.
120*p**2
Let j(c) = 8*c**2 - 6*c + 11. Let d(g) = 7*g**2 - 5*g + 10. Let a(v) = -6*d(v) + 5*j(v). What is the first derivative of a(q) wrt q?
-4*q
Let p(f) = -1. Let g(d) = -d + 10. Let r(a) = g(a) + 4*p(a). Differentiate r(y) with respect to y.
-1
Let t(c) = c**3 + c**2 + c - 1. Let g(x) = 3*x**3 + 10*x**2 + 5*x - 40. Let b(p) = g(p) - 5*t(p). What is the derivative of b(k) wrt k?
-6*k**2 + 10*k
Suppose 2*t - 12 = -d + 2, 2*d + 7 = 3*t. Differentiate 4 + d*z**2 - 3 + 2 wrt z.
8*z
Suppose 0 = 4*m - 2*j, 5*m + 2*j + 1 = 5*j. Differentiate 6 + 1 - 1 - m + 2*s**4 with respect to s.
8*s**3
Let j(z) = 16*z**2 - 2*z - 13. Let l(i) = i. Let a(w) = -j(w) - 2*l(w). Differentiate a(g) with respect to g.
-32*g
Let z(r) be the second derivative of r**7/6 - 7*r**4/12 - 5*r. What is the third derivative of z(d) wrt d?
420*d**2
Let v(m) be the second derivative of 5*m**8/56 - 7*m**4/12 - 19*m. Find the third derivative of v(q) wrt q.
600*q**3
Let p(r) be the second derivative of 1/12*r**4 - 1/3*r**3 + 1/60*r**5 + 0 + r + 0*r**2. Let c(u) be the second derivative of p(u). Differentiate c(y) wrt y.
2
Let w(a) be the first derivative of -1/2*a**4 + 0*a**3 + 0*a**2 - 1 + 2*a. What is the derivative of w(r) wrt r?
-6*r**2
Let m = -1 - -6. Find the third derivative of -c**m + 0*c**2 + 4*c**5 + 2*c**2 wrt c.
180*c**2
Let l(c) be the third derivative of 3*c**7/35 + 41*c**4/24 + 24*c**2. What is the second derivative of l(j) wrt j?
216*j**2
Let p(i) = -2*i**3 + i**2 - 2. Let l(v) = 1. Let n be 4/(-22) + 9/(-11). Let d(h) = n*p(h) - 2*l(h). What is the third derivative of d(s) wrt s?
12
Suppose 2*p = -5*g - 0*g - 1, -g = -5*p + 11. What is the second derivative of -20*j + 11*j + 4*j**p - 2*j**2 - 4*j**2 wrt j?
-4
Let y be (-15)/(-6)*24/15. What is the first derivative of 4*u**4 - 3*u**4 + y*u**4 - 4*u**4 + 2 wrt u?
4*u**3
Let r(m) = m**3 - m**2 + 1. Let f(o) be the first derivative of -o**5 + o**4 - 4*o**3/3 + 3. Let p(k) = -f(k) + 4*r(k). Differentiate p(w) wrt w.
20*w**3
Find the first derivative of -1 + 5*a**2 - 1 + 4 wrt a.
10*a
Let b(x) = 4*x**5 - 2*x**3 + 15*x**2. Let o(m) = 4*m**5 - 3*m**3 + 16*m**2. Let k(a) = -3*b(a) + 2*o(a). Find the third derivative of k(d) wrt d.
-240*d**2
Let k(o) = -5*o**2 + 4*o - 4. Let z(v) = -16*v**2 + 12*v - 11. Suppose 5*t = t + 44. Let x(b) = t*k(b) - 4*z(b). Find the second derivative of x(q) wrt q.
18
Let r = 18 + -15. Let g(x) = -2*x**2 - 2*x + 6. Let b(z) = 2*z**2 + 3*z - 5. Let y(k) = r*g(k) + 2*b(k). Differentiate y(q) with respect to q.
-4*q
Suppose 4*b - 2*t - 3 = -1, 4*t - 11 = 3*b. Find the first derivative of h**4 + b - 3*h**4 - h**4 wrt h.
-12*h**3
Let w(t) be the second derivative of 3*t**6/10 + 7*t**2/2 + 23*t. Differentiate w(x) wrt x.
36*x**3
Let g(x) be the third derivative of 31*x**6/120 + 29*x**4/24 + 9*x**2. What is the second derivative of g(w) wrt w?
186*w
Let h = -4 - -9. What is the third derivative of -f**h + 0*f**3 + 0*f**3 - 3*f**2 wrt f?
-60*f**2
Let t(m) be the third derivative of -2*m**6/15 + 11*m**4/24 + 16*m**2. What is the second derivative of t(h) wrt h?
-96*h
Let a(v) = 2*v - 4. Let s be 9/2 - 1/(-2). Let g be a(s). Find the third derivative of 4*q**g + 2*q**2 - 3*q**6 - q**2 wrt q.
120*q**3
Let k(r) be the second derivative of -r**3/6 - 5*r**2 + 6*r. Find the first derivative of k(j) wrt j.
-1
Let b(j) be the first derivative of 2 + 4/3*j**3 + 0*j**2 - 3*j. Find the first derivative of b(d) wrt d.
8*d
What is the second derivative of -y**3 + 5*y**3 - y**3 + 6*y + 0*y wrt y?
18*y
Let g(x) be the third derivative of -x**6/72 - x**4/24 + x**3/3 + 2*x**2. Let h(y) be the first derivative of g(y). Differentiate h(r) wrt r.
-10*r
Let y(k) = -k - 4. Let p be y(-8). Suppose 2*z + 21 = -2*n + 7*z, -p*n + 28 = 4*z. Find the first derivative of 2 + n*b**2 - 12*b + 12*b wrt b.
4*b
Let h(q) = -3*q**4 + 4*q**2 - 3. Let a(r) = r**4 - r**2. Let k = 11 + -7. Suppose 3 = -k*b + 19. Let s(j) = b*a(j) + h(j). Differentiate s(c) with respect to c.
4*c**3
Suppose -3*i = 2*i. Suppose y = -i*g + 3*g + 4, 4*g = 2*y - 8. What is the second derivative of g*h + 3*h**4 - h**4 + h wrt h?
24*h**2
Differentiate 7 - 3*o**2 + 6*o**3 - 2*o**2 + 5*o**2 with respect to o.
18*o**2
Let h(x) = -5*x - 3*x**2 - 2*x**2 - 4*x**2. Let l(a) = -23*a**2 - 20*a - 3*a**2 + 6*a. Let s(v) = 17*h(v) - 6*l(v). What is the second derivative of s(o) wrt o?
6
Let r(l) = 2*l**2 + 2*l + 2. Let q be r(-2). Find the second derivative of b + 4*b**3 + 2*b**3 + q*b + 0*b**3 wrt b.
36*b
Let v(c) = -c + 6. Let y be v(3). Suppose -4*w + y*f + 19 = 0, -4*w - f = f - 14. What is the second derivative of -t**4 - t + t**w + 3*t + t**4 wrt t?
12*t**2
Let t(g) be the first derivative of g**8/420 + g**5/30 + 4*g**3/3 - 2. Let w(f) be the third derivative of t(f). Find the second derivative of w(c) wrt c.
48*c**2
Let d(q) = 4*q**2 - 15*q - 13. Let w be (-9 - -3)/3 - 11. Let h(o) = 2*o**2 - 7*o - 6. Let f(a) = w*h(a) + 6*d(a). Find the second derivative of f(s) wrt s.
-4
Let v(l) = -3*l**3 + l - 3. Let x(q) = 2*q**3 + q**2 - q + 3. Let u(j) = -4*v(j) - 5*x(j). What is the second derivative of u(d) wrt d?
12*d - 10
Suppose 0 = -2*l - 3*l + 10. Find the third derivative of 2*j**2 + 2*j**l - j**2 + 0*j**2 - 3*j**3 wrt j.
-18
What is the second derivative of -14*g**2 - 8 + 8 + 7*g + 2*g wrt g?
-28
Let g(q) = -2*q**3 + 3*q**2 - 5*q**3 - 6*q - 6 - q**3. Let f(t) = -t**3 + t**2 - t - 1. Let z(c) = -6*f(c) + g(c). Find the third derivative of z(n) wrt n.
-12
Let r(k) = -6*k + 6. Let y(c) = -17*c + 18. Let o = 0 - -2. Let l(m) = o*y(m) - 7*r(m). What is the first derivative of l(f) wrt f?
8
What is the second derivative of 48*c + 18*c - 4*c**2 - 12*c - 18*c**2 wrt c?
-44
Let i(z) be the first derivative of 5*z**4 + 17*z**2 - 35. What is the second derivative of i(r) wrt r?
120*r
Let b(q) = 19*q**4 + 20*q**2 + 5*q. Let r(y) = -20*y**4 - 21*y**2 - 6*y. Let x(t) = -6*b(t) - 5*r(t). Find the third derivative of x(p) wrt p.
-336*p
Let m(z) be the first derivative of 19*z**4/4 + 6*z**2 - z + 4. What is the second derivative of m(n) wrt n?
114*n
What is the first derivative of 5*c + 10 - 30*c + 6 - 2*c wrt c?
-27
Find the first derivative of -2 + 3 - w**3 + 7 - 3 wrt w.
-3*w**2
Let t(b) be the third derivative of 0 + 1/3*b**3 + 1/8*b**4 - 5*b**2 + 0*b. Find the first derivative of t(m) wrt m.
3
Let g(d) be the first derivative of d**2 - 8*d + 3. Let m(z) = -3*z + 15. Let q(f) = -9*g(f) - 5*m(f). Differentiate q(l) wrt l.
-3
Let b(o) = 2*o + 1. Let r(l) = -2*l - 2*l - 1 - 1. Let m be -1 + 14 + -3 + 1. Let z(s) = m*b(s) + 6*r(s). What is the first derivative of z(y) wrt y?
-2
Let n(g) be the first derivative of -7/3*g**3 + 1/4*g**4 + 0*g**2 + 0*g - 7. Find the third derivative of n(c) wrt c.
6
Let r(n) be the third derivative of -n**5/30 + 7*n**4/24 - 8*n**2. Find the second derivative of r(d) wrt d.
-4
Suppose 5*d = 2*d + 12. Suppose r + r = d. Find the first derivative of x**r - 2*x**3 - 2 - x**2 