What is the derivative of n(a) wrt a?
3*a**2
Let v(t) be the third derivative of t**8/24 - t**5/20 + 7*t**2. Find the third derivative of v(y) wrt y.
840*y**2
Let o(y) = 4*y**4 - 73*y**2 - 118*y + 7. Let m(z) = -3*z**4 + 49*z**2 + 79*z - 5. Let w(i) = -7*m(i) - 5*o(i). Find the second derivative of w(x) wrt x.
12*x**2 + 44
Suppose 0 = 5*s - j - 89, 2*s + 3*j + 2*j - 14 = 0. Find the third derivative of x**4 + 5*x**4 - 18*x**2 + 0*x**4 + s*x**2 wrt x.
144*x
Let w(j) = -j**3 - 3*j**2 + j + 3. Let h be w(-3). What is the third derivative of h*f + 2*f**2 + 0*f + 4*f**6 + f**2 wrt f?
480*f**3
Suppose 4*r + 3*g - 27 = r, -4*g - 9 = -5*r. Let u be ((-6)/r)/(6/(-20)). What is the third derivative of d**2 + d**u + 2*d**2 - 2*d**2 wrt d?
24*d
Let l(a) be the second derivative of -a**7/70 + a**5/10 + 9*a**2/2 - 2*a. Let x(u) be the first derivative of l(u). What is the third derivative of x(o) wrt o?
-72*o
Let b(k) = k**5 - k**4 + k**2. Let y(p) = 10*p**5 - 9*p**4 + 9*p**2 - 5*p. Let j(t) = -18*b(t) + 2*y(t). What is the second derivative of j(d) wrt d?
40*d**3
Let r(g) = -g. Let a be r(-3). Let s(x) = 8*x - 6. Let o(j) = -4*j + 3. Let y(q) = a*s(q) + 5*o(q). What is the derivative of y(k) wrt k?
4
Let v(h) be the first derivative of -16*h**3/3 - 30*h - 41. Find the first derivative of v(d) wrt d.
-32*d
Let h(u) be the first derivative of -2*u**6/3 + u**2 - 24. Find the second derivative of h(f) wrt f.
-80*f**3
Let c(h) = -h**3 + 6*h**2 + 8*h - 5. Let v be c(7). Suppose v*k = -k + 18. Find the third derivative of -11*g**k + 5*g**6 - 4*g**2 + 8*g**6 wrt g.
240*g**3
What is the first derivative of 3*g**2 + 0 + 11 - 2*g + 23*g**2 wrt g?
52*g - 2
What is the derivative of -41*f - 35 - 3*f - 27 + 21 wrt f?
-44
Let a be (-2 - -2 - 1)*11. Let y = -7 - a. Find the second derivative of o**y - 3*o**4 - 2*o**4 - o + o**4 wrt o.
-36*o**2
What is the second derivative of -2*u**3 + u - 5*u**3 - 2*u + 0*u wrt u?
-42*u
Let b(v) be the third derivative of -7*v**6/120 + v**3/3 - 10*v**2. Differentiate b(n) with respect to n.
-21*n**2
Let f(a) = -a**2 - a - 1. Let v(u) = -48*u**2 + 4*u + 15. Let q(x) = 2*f(x) + v(x). Find the second derivative of q(t) wrt t.
-100
Let j(a) be the second derivative of 0*a**2 + 0*a**5 + 0 + 2*a + 1/14*a**8 + 0*a**6 + 0*a**3 + 1/3*a**4 + 0*a**7. Find the third derivative of j(c) wrt c.
480*c**3
Suppose -2*z + 1 + 3 = 0. What is the third derivative of 2*c**6 + 3*c**2 + 3*c**6 - 6*c**2 + 10*c**z wrt c?
600*c**3
Let x(d) be the second derivative of 17*d**6/15 + 2*d**4 - 30*d. Find the third derivative of x(v) wrt v.
816*v
Suppose 3*b - 2 = 7. Differentiate 2*n**3 - b - 6*n**3 - 2*n**3 + 0 wrt n.
-18*n**2
Let m(t) = 2*t - 7. Let w be m(9). What is the third derivative of 6*v**5 - 3*v**3 - 8*v**3 + w*v**3 + 6*v**2 wrt v?
360*v**2
Let y(k) = -49*k**3 + 3*k**2 + 3*k + 9. Let b(a) = a**2 + a + 1. Let j(n) = 3*b(n) - y(n). Differentiate j(p) with respect to p.
147*p**2
What is the second derivative of 5*d**3 + 6*d**2 - 6*d**3 + 8*d - 6*d**2 wrt d?
-6*d
What is the third derivative of 6*b**2 - 9*b**5 + 3*b**5 + 0*b**2 wrt b?
-360*b**2
Let q(m) be the second derivative of m**7/42 - 2*m**3/3 + 37*m. What is the second derivative of q(s) wrt s?
20*s**3
Suppose 2*s = -2*s + 16. Let r = 8 - s. What is the second derivative of -r*p**3 + 2*p**3 + p**3 - 2*p wrt p?
-6*p
Suppose -h + 2 = -3*g + 2*g, 2*g + h - 8 = 0. Differentiate g - 3*z + 0 - 4 with respect to z.
-3
Let b(x) be the second derivative of -x**6/60 - x**5/120 - x**3/6 - 5*x. Let c(p) be the second derivative of b(p). What is the second derivative of c(y) wrt y?
-12
Let z(l) = -l**2 + 4*l - 2. Let h be z(1). Differentiate u - h + 3 + 0*u - 4*u with respect to u.
-3
Let s(c) = -11*c - 10. Let a(u) = -16*u - 15. Let b(v) = -5*a(v) + 8*s(v). Differentiate b(g) with respect to g.
-8
Let w = -13 + 13. Let q(z) be the second derivative of -1/20*z**5 + 0*z**2 + 0 + 1/3*z**3 - 2*z + w*z**4. What is the second derivative of q(l) wrt l?
-6*l
What is the second derivative of -17*m**5 - 7*m**5 + 27*m - 2*m**5 + 5*m**5 wrt m?
-420*m**3
Let h(c) = 11*c**2. Let k be (-5)/(20/28)*1. Let i(v) = -21*v**2 - v. Let s(u) = k*h(u) - 4*i(u). Find the second derivative of s(o) wrt o.
14
Let g(v) be the third derivative of v**7/42 + v**6/60 - v**5/30 + 11*v**4/24 + 13*v**2 + v. Find the third derivative of g(w) wrt w.
120*w + 12
Let c(y) be the first derivative of 0*y + 0*y**3 - 5/4*y**4 - 2*y**2 - 5. What is the second derivative of c(j) wrt j?
-30*j
Let j(m) = 2*m - 1. Suppose -6 - 4 = -5*r. Let l be j(r). Differentiate -l - 3*q**3 + 2*q**2 - 3*q**2 + q**2 with respect to q.
-9*q**2
Let s(h) = h + 14. Let o be s(-11). What is the third derivative of j**2 - 4*j**o + 3*j**3 + j**3 - 4*j**4 wrt j?
-96*j
Let x(h) = 21*h**6 - 8*h**3 + 2*h**2. Let b(p) = -7*p**6 + 3*p**3 - p**2. Let a(l) = 8*b(l) + 3*x(l). What is the third derivative of a(i) wrt i?
840*i**3
Let l(r) be the third derivative of r**9/5040 - r**6/720 + r**4/8 - 2*r**2. Let o(i) be the second derivative of l(i). Find the second derivative of o(v) wrt v.
36*v**2
Let o(z) = -z - 4. Let u be o(-6). What is the second derivative of -3*b - 3*b**5 - u*b**5 + 2*b**5 wrt b?
-60*b**3
Find the second derivative of -1114*y**2 + 46*y + 2*y**5 + 1114*y**2 wrt y.
40*y**3
Let i be 2/9 + 112/(-18). Let k(d) = d + 10. Let n be k(i). What is the derivative of 3 - 2*a**2 + a**2 + a**2 - n*a**2 wrt a?
-8*a
Let g = -26 + 29. Let t be (-10)/4*24/(-20). What is the second derivative of -6*b**2 + g*b + t*b**2 + 0*b**2 - 6*b wrt b?
-6
Let l(c) be the third derivative of 0*c**5 + 0*c**3 + 0*c - 1/6*c**4 + 1/60*c**6 + 0 + 5*c**2. What is the second derivative of l(s) wrt s?
12*s
Let i(k) = k**2 - 18*k + 21. Let w be i(17). Find the first derivative of -8 + 7 + 8 - 13*m + w*m wrt m.
-9
Let k(g) = -36*g**3 + 8*g**2 - 20. Let i(n) = -24*n**3 + 5*n**2 - 13. Let o(b) = 8*i(b) - 5*k(b). What is the derivative of o(c) wrt c?
-36*c**2
Suppose 3*k = 4*k. Let w(s) be the second derivative of 0 + 0*s**4 + k*s**5 + 0*s**3 + s**2 - 2*s - 1/30*s**6. Find the first derivative of w(l) wrt l.
-4*l**3
Let c = 3 - -3. Differentiate -c*z + 13 + 3*z - 6 with respect to z.
-3
Let q(w) be the third derivative of -w**7/2520 + w**5/120 + w**4/8 + 2*w**2. Let s(l) be the second derivative of q(l). What is the derivative of s(x) wrt x?
-2*x
Let u(z) = -47*z**3 + 62*z. Let j(c) = 23*c**3 - 31*c. Let i(s) = 5*j(s) + 3*u(s). Find the second derivative of i(q) wrt q.
-156*q
Let k(y) be the first derivative of y**4/4 - 2*y**3/3 + 4*y - 4. Let m(i) be the first derivative of k(i). Find the second derivative of m(h) wrt h.
6
Let q(v) = -v**3 + 6*v**2 + 8*v - 4. Let z be q(7). Suppose -6*u + z*u + 6 = 0. What is the third derivative of j**2 - 2*j**u + 3*j**5 - j**5 + 0*j**2 wrt j?
120*j**2
Let p(a) be the first derivative of a**4 + 10*a**3/3 - 6. Find the third derivative of p(j) wrt j.
24
Let p(s) be the third derivative of 4/3*s**3 + 1/60*s**6 + 0*s**4 + 0*s + s**2 + 0 + 0*s**5. What is the first derivative of p(l) wrt l?
6*l**2
Let q(u) be the third derivative of 2*u**5/15 + u**3/3 + 3*u**2. Differentiate q(p) wrt p.
16*p
Let y(f) be the second derivative of 7*f**5/10 + f**4/6 - 8*f. What is the third derivative of y(q) wrt q?
84
Let s(m) be the first derivative of 0*m + 0*m**2 - 1/5*m**5 - 2/3*m**3 + 0*m**4 - 1. Find the third derivative of s(z) wrt z.
-24*z
Let a(h) be the third derivative of h**6/15 + h**4/3 + 10*h**2. What is the second derivative of a(q) wrt q?
48*q
What is the third derivative of -101*c + 26*c**4 - c**2 + 101*c - 4*c**2 wrt c?
624*c
Let d(l) = 13*l**3 + 15*l**2 + 3*l + 1. Let h(t) = 14*t**3 + 16*t**2 + 4*t + 1. Let x(g) = 4*d(g) - 3*h(g). Find the third derivative of x(q) wrt q.
60
Let o(x) = x - 6. Let p be o(8). Let w = 4 - p. Find the first derivative of -4*c**2 + 2 + 6*c**w - 4 wrt c.
4*c
Let c(t) be the second derivative of -t**5/20 - 7*t**4/12 - 4*t**3/3 - 7*t**2/2 + t. Let d be c(-6). Find the second derivative of -2*i**2 + d + i - 5 wrt i.
-4
Suppose -4*s + c - 5 = -s, 5*c - 12 = 2*s. Let o be (-2 - s) + 36/6. What is the third derivative of f**2 + 2*f**o - 2*f**5 + 2*f**5 wrt f?
120*f**2
Let w(a) = -7*a**4 - 7*a**2. Let o(n) = -20*n**4 - 20*n**2. Suppose -5*p = -9 + 29. Let r(q) = p*o(