d derivative of -2*t**7/105 - 5*t**3/6 + 8*t**2. Find the first derivative of n(r) wrt r.
-16*r**3
Let a(h) be the third derivative of -h**7/105 + 5*h**3/6 + 6*h**2. What is the derivative of a(y) wrt y?
-8*y**3
Suppose 0 = 2*v + v + k - 2, 4*k + 16 = 0. Differentiate -2 - v*m + 2*m - 3*m**3 with respect to m.
-9*m**2
Find the third derivative of 8*k**3 - 35*k**2 - 2*k**3 + 33*k**3 wrt k.
234
Differentiate 0 - 3 - 4*c + 11*c wrt c.
7
Let v(s) be the second derivative of -s**8/112 - s**5/30 - 3*s**2/2 + 4*s. Let u(x) be the first derivative of v(x). What is the third derivative of u(d) wrt d?
-180*d**2
Let p be (-12)/4 - (0 + -6). Find the second derivative of p*u**2 - 14*u - 6*u**5 - 3*u**2 + 11*u wrt u.
-120*u**3
Let b be 0 + -1 + (-8)/(-8). Let t(i) be the third derivative of 0*i + 2*i**2 + b*i**4 - 1/60*i**6 + 0*i**5 + 0 + 1/6*i**3. Differentiate t(g) wrt g.
-6*g**2
Let h(k) = 4*k**2 + 8. Suppose 5*i - 3*i - 90 = 0. Suppose -6*j = -j + i. Let g(l) = -l**2 - 2. Let y(p) = j*g(p) - 2*h(p). Differentiate y(r) wrt r.
2*r
Let j(s) be the first derivative of 7*s**5 - 9*s**2 + 27. Find the second derivative of j(p) wrt p.
420*p**2
Let s = -95 + 95. Let p(u) be the second derivative of 2*u + s + 0*u**3 - 1/12*u**4 + u**2. What is the first derivative of p(g) wrt g?
-2*g
Differentiate 4*n**3 - n**3 + 4 - 2*n**3 with respect to n.
3*n**2
Suppose 62*g = 64*g - 6. Let i(v) be the first derivative of g + 0*v + 2*v**2 - 4/3*v**3. Find the second derivative of i(w) wrt w.
-8
Suppose 0 = -0*y + y. Suppose y = 4*o - 12, -2*s = -3*s - 4*o + 15. What is the derivative of -d - 2*d + s + 0*d wrt d?
-3
Suppose -3*a = -7*a + 4. Let x be a/(-2 - 54/(-26)). Differentiate 1 - 2*m**4 - 13*m + x*m with respect to m.
-8*m**3
Let r(h) = -3*h**2 - 1. Let q(d) = -7 + 2*d - 16*d**2 - 2*d + 2. Let f(u) = -6*q(u) + 33*r(u). What is the derivative of f(w) wrt w?
-6*w
Let s(i) = -17*i**4 + 5*i**3 - 5*i - 16. Let v(u) = -u**4 - u**3 + u - 1. Let z(b) = s(b) + 5*v(b). What is the derivative of z(h) wrt h?
-88*h**3
Let q = -2 + 5. Suppose -q*i + i + 6 = 0. Differentiate 0*z**2 - 4 + 1 + 0*z**2 - 4*z**i wrt z.
-12*z**2
Suppose -c + 9 = -4*c, v = 2*c + 6. What is the first derivative of -2 - 5*t**2 + 1 + v*t**2 + 3*t**2 wrt t?
-4*t
Suppose 3*c - a = c, 5*c - 2 = 2*a. What is the third derivative of -k**2 + 2*k**c - 11*k**5 + 6*k**5 + k**2 wrt k?
-300*k**2
Suppose h - 8 = -0*h. Let g = h - 5. Find the second derivative of p - 2*p**g - p**3 + 5*p**3 wrt p.
12*p
Let m(a) = -a**2 + 5*a + 8. Let q be m(6). Suppose 0 = -4*t, 0*t = -u + 5*t + q. Find the first derivative of 3*n**u + n - 4 - n wrt n.
6*n
Let z(h) be the second derivative of -5*h**3/3 - 3*h**2/2 + 10*h. What is the derivative of z(k) wrt k?
-10
Let q(l) = -10*l - 3. Let m(z) = -19*z - 6. Suppose -d = d + n + 1, 0 = -2*d - 4*n + 14. Let p(u) = d*m(u) + 5*q(u). Find the first derivative of p(c) wrt c.
7
Let h(q) = 18*q**2 + 18*q. Let i(r) = 109*r**2 + 106*r. Let m(f) = -34*h(f) + 6*i(f). Find the second derivative of m(k) wrt k.
84
What is the third derivative of 10*j**3 - 12*j**3 + 13*j**3 - 7*j**2 wrt j?
66
Let o(p) = 14*p**5 + 10*p - 4*p**5 + 0*p**5. Let i(v) = v**5 + v. Let x(l) = 35*i(l) - 4*o(l). What is the second derivative of x(n) wrt n?
-100*n**3
Let f(q) be the second derivative of q**2 - 1/4*q**4 + 0 + 0*q**3 - 2*q. What is the first derivative of f(c) wrt c?
-6*c
Suppose 4*i - 4*p = 0, -2*i + 0*i - 5 = -3*p. Find the third derivative of -4*v**4 - i*v**2 + 3*v**4 - v**4 wrt v.
-48*v
Let a(v) = v**3 - 4*v**2 + 4*v - 1. Let m be (2 - 0/(-3)) + 1. Let x be a(m). What is the second derivative of -3*s**2 + 0*s - s + x*s wrt s?
-6
Let l(c) be the second derivative of 0 + 2*c + 0*c**2 + 0*c**4 + 7/6*c**3 - 3/10*c**5. Find the second derivative of l(k) wrt k.
-36*k
Let r(z) be the first derivative of -z**4/4 - z**2 - 2. What is the second derivative of r(s) wrt s?
-6*s
Let w(o) be the first derivative of o**3/3 + o**2/2 + o + 5. Let a be w(0). What is the third derivative of a + 0*d**5 + 3*d**5 - 1 - 3*d**2 wrt d?
180*d**2
Suppose 3*r = 0, 2*r = -2*h - 0*r. Let o(f) be the first derivative of 1 + 0*f**4 + h*f**3 - f + 2/5*f**5 + 0*f**2. Find the first derivative of o(k) wrt k.
8*k**3
Let t(r) = 4*r**5 + 7*r**4 + 6*r - 7. Let z(d) = 2*d**5 + 4*d**4 + 3*d - 4. Let s(i) = 4*t(i) - 7*z(i). What is the second derivative of s(q) wrt q?
40*q**3
Suppose 0 = -4*s - 6 + 14. Suppose 5 = 7*m - s*m. Differentiate 2*r - 2*r**4 + m - 2*r**4 - 2*r with respect to r.
-16*r**3
Let w(b) be the third derivative of 0*b + 5*b**2 + 1/40*b**6 + 0 + 0*b**4 - 1/20*b**5 + 0*b**3. What is the third derivative of w(t) wrt t?
18
Let r(d) be the second derivative of 1/6*d**3 + 7*d + 0*d**6 - 1/6*d**7 + 0*d**4 + 0*d**5 + 0*d**2 + 0. What is the second derivative of r(v) wrt v?
-140*v**3
Let u(g) = 3*g**3 + 4*g + 3. Let a(w) = 12*w**3 + 15*w + 13. Let d(b) = 6*a(b) - 26*u(b). Find the second derivative of d(s) wrt s.
-36*s
Let o(m) = -m**2 - m + 2*m**3 + 4 + m. Let a(s) = 6*s**3 - 3*s**2 + 11. Let g(n) = -4*a(n) + 11*o(n). Find the third derivative of g(y) wrt y.
-12
Let w(i) = -i**2 - 14 + 0 + 4 + 9. Suppose -2 = -5*r + 3. Let g(o) = -6*o**2 + 2*o - 4. Let a(p) = r*g(p) - 4*w(p). Find the second derivative of a(b) wrt b.
-4
Let i(f) = 5*f**4 + 3*f**3 - 3*f**2 - 4*f. Let w(d) = -5*d**4 - 2*d**3 + 2*d**2 + 4*d. Let a(q) = -2*i(q) - 3*w(q). Find the second derivative of a(x) wrt x.
60*x**2
Find the second derivative of -5*o**3 - 12*o**3 - 5*o**3 - 2*o**3 - 9*o wrt o.
-144*o
Let x(y) = 2*y**3 + 5*y**2. Let g(o) be the first derivative of -3*o**4/4 - 3*o**3 - 3. Let b(w) = 6*g(w) + 10*x(w). What is the third derivative of b(u) wrt u?
12
Let p(c) be the second derivative of 0*c**2 + 0*c**4 + 5/42*c**7 + 0 + 0*c**6 + 0*c**5 + c + 1/2*c**3. Find the second derivative of p(r) wrt r.
100*r**3
Suppose 3*v - 9 = 3. What is the second derivative of s**3 + s - 5*s**3 + 5*s**3 + v*s wrt s?
6*s
Let u(v) = v - 1. Let f(y) = 2*y - 1. Suppose 7 + 13 = 4*i. Let p(j) = i*u(j) - 4*f(j). What is the derivative of p(n) wrt n?
-3
Let c = -8 - -8. Let o(s) be the first derivative of -1/3*s**6 + 0*s**4 + 0*s + c*s**2 + 0*s**5 - 1/3*s**3 - 1. Find the third derivative of o(k) wrt k.
-120*k**2
Find the first derivative of -2 + 1 + 6 - 3 - 2*l wrt l.
-2
Let s(q) = -8*q**3 - 11*q**2 + 2. Let t(z) = -4*z**3 - 6*z**2 + 1. Let o(n) = -6*s(n) + 11*t(n). Find the first derivative of o(d) wrt d.
12*d**2
Let j(w) be the first derivative of w**4/6 + w**2 + 2*w + 4. Let x(i) be the first derivative of j(i). What is the derivative of x(v) wrt v?
4*v
Let s = 5 + 0. Let v(z) = -z**3 + 6*z. Let n(o) = -o**3 + 11*o. Let a(f) = s*v(f) - 3*n(f). What is the second derivative of a(g) wrt g?
-12*g
Let i(c) = c**4 - c**3 - c**2. Let q(n) = -46*n**4 + 2*n**3 + 2*n**2 - 47. Let o(k) = -2*i(k) - q(k). What is the derivative of o(z) wrt z?
176*z**3
Differentiate 15*u - 11 - 15*u + 5*u**2 wrt u.
10*u
Let a(u) = -u**2 - u + 2. Let z be a(0). Differentiate -3*t**2 - 4 - 5*t**z + t**4 + 8*t**2 with respect to t.
4*t**3
Let b(c) be the third derivative of -5*c**8/336 + 5*c**4/8 - 15*c**2. Find the second derivative of b(m) wrt m.
-100*m**3
Let k = 13/2 - 19/3. Let d(w) be the first derivative of -k*w**6 - 3 + 0*w + 0*w**4 + w**3 + 0*w**5 + 0*w**2. What is the third derivative of d(n) wrt n?
-60*n**2
Suppose -3*k + 1 = n - 5*k, -4*k - 11 = -5*n. Find the second derivative of -n*s + s - 6*s + 9*s**5 - s**5 wrt s.
160*s**3
Let g(x) be the second derivative of -x**6/30 - 11*x**3/2 + 32*x. Find the second derivative of g(b) wrt b.
-12*b**2
Let j(o) be the second derivative of o**6/120 - o**4/8 - 3*o**2/2 + 2*o. Let z(q) be the first derivative of j(q). What is the second derivative of z(a) wrt a?
6*a
Let k(f) be the second derivative of 0*f**2 + 1/10*f**5 + 0 + 1/6*f**4 + 0*f**3 - f. Find the third derivative of k(i) wrt i.
12
Let y be ((-8)/(-3))/(12/18). What is the derivative of -5*f**2 + 5*f**2 + 4 - 2*f**y wrt f?
-8*f**3
Let u(v) be the first derivative of -v**5/10 - v**3/6 + 3*v - 3. Let y(r) be the first derivative of u(r). What is the second derivative of y(l) wrt l?
-12*l
Let s(l) be the third derivative of l**9/5040 + l**7/2520 + l**4/6 - 5*l**2. Let x(p) be the second derivative of s(p). Find the thi