2
Find the second derivative of 21*s**4 + 6*s + s - 20*s**4 wrt s.
12*s**2
Let i(c) = 52*c**4 - 12*c**3 + 20*c - 12. Let j(p) = -21*p**4 + 5*p**3 - 8*p + 5. Let u(a) = -5*i(a) - 12*j(a). Find the second derivative of u(h) wrt h.
-96*h**2
Let q(u) be the third derivative of -u**7/42 + 7*u**4/12 - 17*u**2. Find the second derivative of q(f) wrt f.
-60*f**2
Let b be (-2)/(-1)*(-2)/4. Let h = b + 4. What is the third derivative of 2*n**2 + 4*n**5 + 5*n**5 - h*n**5 - 5*n**5 wrt n?
60*n**2
Let b(t) = t**3 - t**2 - t - 1. Let y(a) = -a**3 + 14*a**2 + 6*a + 6. Let k(x) = 6*b(x) + y(x). What is the third derivative of k(v) wrt v?
30
Let g(m) be the second derivative of m**4/4 + 4*m**2 - 2*m. Differentiate g(i) with respect to i.
6*i
Let q(p) = -p**3 + p**2 + 8. Let m be q(0). Suppose -m*h = -3*u - 5*h + 15, h = -4*u + 10. What is the derivative of 1 - 3 - k**2 + 0*k**2 + u wrt k?
-2*k
What is the third derivative of -7*x**2 - 5*x**4 - 17*x**2 + 6*x**4 wrt x?
24*x
Let k(q) be the second derivative of -3*q + 0 - 1/20*q**5 + q**2 + 0*q**3 + 0*q**4. Find the first derivative of k(d) wrt d.
-3*d**2
Let o(a) = -a**3 - a**2 + 4. Let k be o(0). Let p = k + 0. What is the second derivative of -p*j**3 + 0*j + 2*j**3 - j wrt j?
-12*j
Find the second derivative of 6*l + l + l**2 + 6*l**2 wrt l.
14
Let v = -5/4 + 19/12. Let s(u) be the first derivative of 0*u**2 - 3 - 2*u + v*u**3. Differentiate s(j) with respect to j.
2*j
Let h(k) = -k**2 + 11*k + 10. Let y be h(9). What is the second derivative of y - 5*a**2 - 7*a - 28 wrt a?
-10
What is the third derivative of -5*x**2 + 2*x**4 + 18*x**5 - 36*x + 13*x + 19*x wrt x?
1080*x**2 + 48*x
Let w(k) = 8*k**5 - 4*k**3 + 4*k**2 + 9*k. Let x(j) = 9*j**5 - 5*j**3 + 5*j**2 + 9*j. Let i(o) = 5*w(o) - 4*x(o). What is the second derivative of i(r) wrt r?
80*r**3
Let m(d) be the third derivative of -d**10/50400 - d**6/240 - d**5/60 + d**2. Let p(s) be the third derivative of m(s). Differentiate p(t) wrt t.
-12*t**3
Find the third derivative of -9*j**5 + j**2 + 5*j**5 + j**2 + 0*j**2 wrt j.
-240*j**2
Let g(x) = -3*x - x**2 + 2 + 3 - x**2 - 1. Let c(b) = -b**2 - b + 1. Let k(i) = 4*c(i) - g(i). What is the second derivative of k(a) wrt a?
-4
What is the third derivative of -12*a**2 - 3*a**5 + 14*a**5 - 6*a**5 wrt a?
300*a**2
Let p(q) be the second derivative of 23*q**6/30 + 5*q**4/12 + 24*q. Find the third derivative of p(n) wrt n.
552*n
Suppose -15 = 2*q - 45. Let w = q - 10. Find the second derivative of -3*s**2 + 0*s - w*s + 2*s**2 wrt s.
-2
Let v(i) be the first derivative of i**10/2520 + i**6/90 - i**3 - 4. Let j(w) be the third derivative of v(w). What is the third derivative of j(m) wrt m?
240*m**3
Find the third derivative of -4*k**2 + 6*k**3 - 6*k**3 + 2*k**3 + 2*k**3 wrt k.
24
Let a(q) be the second derivative of 1/6*q**4 + 0 + 0*q**3 + 1/42*q**7 + 0*q**2 + 0*q**5 + 0*q**6 - 2*q. Find the third derivative of a(l) wrt l.
60*l**2
Find the third derivative of d + 6970*d**2 + 12*d**3 - 6976*d**2 + 28*d**3 wrt d.
240
Let k(f) be the first derivative of -8*f**3/3 + 4*f**2 - 2. Find the second derivative of k(n) wrt n.
-16
Let k(q) = 7*q**3 + 4*q**2 + 4*q - 1. Let w(a) = 6*a**3 + 3*a**2 + 3*a - 2. Let n(m) = 3*k(m) - 4*w(m). Find the first derivative of n(j) wrt j.
-9*j**2
Suppose -3*n - 9 = -3*k, -n - 1 = -k + n. Find the first derivative of 2*z - 2 - k*z + 0 wrt z.
-3
Find the first derivative of 22 - 26*n**2 + 56*n**2 - 22*n**2 wrt n.
16*n
Let x = 10/17 + -43/102. Let v(w) be the second derivative of x*w**4 - 1/6*w**3 + 0 - 3*w + 0*w**2. Find the second derivative of v(f) wrt f.
4
Let s(f) be the second derivative of 5*f**4/6 + 19*f**2 - 3*f. Differentiate s(z) with respect to z.
20*z
Let c(x) = 5*x**2 - 5*x - 9. Let u(n) = -7*n**2 + 8*n + 14. Let d(h) = -8*c(h) - 5*u(h). What is the derivative of d(i) wrt i?
-10*i
Let d(n) be the second derivative of -n**6/15 + n**4/2 - 8*n. What is the third derivative of d(a) wrt a?
-48*a
Let h(u) = -5*u - 22. Let p(o) = -10*o - 44. Let j(a) = 13*h(a) - 6*p(a). What is the first derivative of j(r) wrt r?
-5
Let g(q) be the second derivative of -1/3*q**3 - 3*q + 5/6*q**4 + 0*q**2 + 0. Find the second derivative of g(k) wrt k.
20
Let u(r) = r**4 - 5*r**2 + 5*r - 14. Let t(o) = -o**4 + 6*o**2 - 6*o + 15. Let w(j) = -5*t(j) - 6*u(j). Differentiate w(m) wrt m.
-4*m**3
Let h(b) be the first derivative of -7*b**5/5 - b**2/2 + 4. What is the second derivative of h(d) wrt d?
-84*d**2
Let i(o) be the first derivative of o**6/3 + o**3 - 8. What is the third derivative of i(q) wrt q?
120*q**2
What is the third derivative of 24 + 4*v**6 + 2*v**2 - 24 wrt v?
480*v**3
Let h(m) = 3*m. Let l(u) = -u**3 - 3*u. Let j(r) = -3*h(r) - 2*l(r). Find the second derivative of j(x) wrt x.
12*x
Let n(r) = -r**3 - 11*r**2 + 12*r + 4. Let q be n(-12). Find the second derivative of -2*b - 4*b + q*b - 3*b**3 wrt b.
-18*b
Let r = 21 - 35. Let n be (-6)/18*(-1 + r). Find the second derivative of 2*p + 2*p**3 - p**3 - n*p + 2*p**3 wrt p.
18*p
Find the second derivative of 2*j**4 - 49*j + 5*j**4 + 58*j wrt j.
84*j**2
Let q(n) = 4*n - 1. Let i = 2 + 2. Let j(l) = -2 + 3 - i*l + 1. Let g(x) = -3*j(x) - 2*q(x). Differentiate g(k) wrt k.
4
Let z(l) be the first derivative of 5 + 0*l**4 + 0*l**2 + 0*l + 0*l**5 + 0*l**6 - 8/7*l**7 - l**3. Find the third derivative of z(t) wrt t.
-960*t**3
Let z = 27 + -14. Find the second derivative of -6*i**3 - 15*i + z*i + 13*i**3 wrt i.
42*i
Let y be 1 + 1 - (-2 - -2). Differentiate -10*a**2 + 4 + y + 8*a**2 - 3 with respect to a.
-4*a
Let o(u) be the second derivative of -29*u**5/20 - 9*u**2/2 + 28*u. Differentiate o(h) with respect to h.
-87*h**2
Let k = 12 + -9. What is the second derivative of 0*m - 2*m**5 - k*m + 2*m**5 - m**5 wrt m?
-20*m**3
Let w(k) = -k**3 - 7*k**2 + 8*k - 3. Let o be w(-8). Let u be (-2)/((o/(-6))/(-1)). What is the third derivative of -d**2 - 2*d**6 + u*d**6 + d**6 wrt d?
360*d**3
What is the second derivative of -242*a**3 - 14*a - 11*a + 21*a**4 + 242*a**3 wrt a?
252*a**2
Let b = -6 + 2. Let v be 6/24 - 7/b. What is the third derivative of -3*p**2 - 6*p**v + 10*p**2 - 2*p**6 - 2*p**2 wrt p?
-240*p**3
Suppose 0 = -g - 2*c - c - 4, 5*c = 4*g - 35. Let p be 4/g*35/14. What is the second derivative of z**p - 3*z**3 - 4*z + 2*z - z**2 wrt z?
-18*z
Suppose 4*t + 2*q - 2 = 0, 6*t + 2*q + 1 = 3*t. Find the third derivative of -2*j**5 - j**5 + 4*j**2 + 4*j**6 + t*j**5 wrt j.
480*j**3
Let j(p) be the first derivative of 0*p**2 - 5 + 0*p**3 - 2*p + 0*p**4 + 1/5*p**5. What is the first derivative of j(t) wrt t?
4*t**3
Let n(k) be the third derivative of 3*k**8/112 + k**5/4 + 3*k**2. Find the third derivative of n(m) wrt m.
540*m**2
Let s(w) = -w**3. Let j(f) = 10*f**3 - 16. Let i(l) = -j(l) + 3*s(l). What is the derivative of i(y) wrt y?
-39*y**2
Let s(q) = 7*q**3 + 6*q**2 - 6*q - 7. Let t(f) = 13*f**3 + 13*f**2 - 13*f - 13. Let a(n) = 13*s(n) - 6*t(n). What is the first derivative of a(j) wrt j?
39*j**2
Suppose 0 = -4*f - f + 15. Let z(u) be the first derivative of -2*u + 1/4*u**4 + 0*u**2 + 1 + 0*u**f. Differentiate z(j) wrt j.
3*j**2
Let x(o) be the first derivative of -5*o**4/4 + 2*o**3 - 4. What is the third derivative of x(q) wrt q?
-30
Let g(z) = -5 - 4 + z**3 + 3 + 5 - z**2. Let j(d) = -8*d**3 + 9*d**2 + 6. Let y(o) = -18*g(o) - 2*j(o). What is the first derivative of y(h) wrt h?
-6*h**2
Let v(g) be the third derivative of 17*g**8/168 - g**5/6 - g**4/24 + 14*g**2 + 3. Find the third derivative of v(j) wrt j.
2040*j**2
Let t(k) = k**3 - 3*k**2 + k - 2. Let n be t(3). Suppose 3*p - n = 5. What is the second derivative of 3*l**p - 3*l**2 + 2*l - l**3 wrt l?
-6*l
Differentiate -l**4 + 8 - 23 + 5 with respect to l.
-4*l**3
Let v(l) = l**2 + l. Let s(t) = t**2 - 7*t - 4. Let w be s(8). Let y(j) = 2*j**2 + 5*j. Let q(h) = w*v(h) - y(h). What is the second derivative of q(c) wrt c?
4
Suppose 5*m - 22 = 38. Let g = -7 + m. What is the second derivative of 2*o**5 - o - g*o**5 + 2*o**5 wrt o?
-20*o**3
Let d(a) be the second derivative of -2*a**4 - 13*a**2/2 + 13*a. What is the first derivative of d(j) wrt j?
-48*j
Let i(o) be the third derivative of -o**6/24 + 11*o**5/60 + 12*o**2. Find the third derivative of i(g) wrt g.
-30
Let u(g) be the second derivative of g**6/6 - 49*g**