w**5 + 1/3*w**3 - 2*w + 0 + 0*w**4 + 0*w**a. What is the second derivative of p(x) wrt x?
24*x**2
Find the first derivative of 2*h**3 - 1 - 1 - 1 + 1 wrt h.
6*h**2
Let f(h) be the first derivative of -2*h**3 + 14*h**2 - 23. What is the second derivative of f(v) wrt v?
-12
Let n(x) be the second derivative of 0*x**2 + 0*x**5 + 0 + 1/3*x**3 + 0*x**4 + 3*x - 1/30*x**6. What is the second derivative of n(r) wrt r?
-12*r**2
Let l = 16 + -4. Differentiate 8 - l + 4*b**4 + b**3 - b**3 with respect to b.
16*b**3
Let c = -9 - -11. Let d(t) be the first derivative of 0*t**2 + 1/2*t**4 + 0*t**3 - 1 - c*t. What is the first derivative of d(n) wrt n?
6*n**2
Suppose 2*r + 5*j = -0*j + 6, -3*j = 3*r - 9. Let n = 8 - r. Find the second derivative of 0*f - 3*f**5 - f + 3*f + 5*f**n wrt f.
40*f**3
Suppose 4*t = 3*x + x, -5 = -5*t + 4*x. Suppose t*m = m. What is the derivative of m*u**2 - 3 - 2*u**2 + u**2 - u**2 wrt u?
-4*u
Let n(r) = -r**2 + 4*r - 1. Let w be n(2). Find the third derivative of g**3 - 3*g**2 + w*g + 0*g**2 - 3*g wrt g.
6
Let t be (-10)/(-25)*(-5)/(-1). Find the first derivative of -4 - t*h**3 + 5 + 5*h**3 wrt h.
9*h**2
Let p(j) be the second derivative of -j**7/420 + j**4/6 - 7*j**3/6 + 2*j. Let d(c) be the second derivative of p(c). What is the first derivative of d(u) wrt u?
-6*u**2
Suppose -3 + 23 = 5*w. What is the third derivative of 4*a**2 - 4*a**3 + w*a**3 + 5*a**6 wrt a?
600*a**3
Let x(d) be the second derivative of 37*d**5/20 + 3*d**4 - 18*d. Find the third derivative of x(w) wrt w.
222
Let m(w) be the third derivative of -w**5/20 + 11*w**4/24 - 12*w**2. Find the second derivative of m(n) wrt n.
-6
Let l(y) = 44*y**2 - 6*y + 15. Let s(x) = -43*x**2 + 5*x - 16. Let b(c) = -5*l(c) - 6*s(c). What is the first derivative of b(k) wrt k?
76*k
Let x(b) be the third derivative of 0*b**4 + 0*b - 2/105*b**7 + 0 + 0*b**5 + 1/2*b**3 + 0*b**6 + b**2. What is the derivative of x(i) wrt i?
-16*i**3
Differentiate -38 + 62 + 5*g + 48*g - 33 with respect to g.
53
Let f be 0*(2 + -1)*-1. What is the first derivative of -1 + 2*u**3 - u**3 + f wrt u?
3*u**2
Let d = 20 + -18. Let m(x) be the first derivative of 0*x**d + 2/3*x**3 + 1 + x. Find the first derivative of m(b) wrt b.
4*b
Let b = -2 - -3. Find the first derivative of -5 + 6 + b + 2*a**4 wrt a.
8*a**3
Suppose -a = -3*a. Let v(u) = -u + 8. Let m be v(6). What is the first derivative of a*d**2 - 2*d**2 + 3*d**2 - 2*d**m + 1 wrt d?
-2*d
Let l(y) be the second derivative of 0 + y + y**2 - 1/3*y**3 - 1/12*y**4. Let o(d) be the first derivative of l(d). Differentiate o(i) with respect to i.
-2
Let r(i) = 10*i**3 - 9*i - 21. Let b(p) = -5*p**3 + 4*p + 10. Let q(n) = 9*b(n) + 4*r(n). Find the first derivative of q(o) wrt o.
-15*o**2
Differentiate 2*f**4 + 3 + 4*f**4 - 2 + 3 wrt f.
24*f**3
Differentiate -6*t + 12*t - 37 - 16*t with respect to t.
-10
Let x(d) = -7*d**2 - 16*d + 13. Let h(a) = -3*a**2 - 8*a + 6. Let q(i) = 13*h(i) - 6*x(i). What is the second derivative of q(p) wrt p?
6
Find the first derivative of -5365*l - 44*l**3 + 5365*l + 1 wrt l.
-132*l**2
Let k(o) = o**3 + o**2 + o + 1. Let w(x) = -26*x**3 - 3*x**2 - 3*x - 1. Let h(f) = -3*k(f) - w(f). Differentiate h(s) wrt s.
69*s**2
Let b(s) = -s - 7. Let h be b(-9). Let f(p) be the first derivative of p**2 + 0*p - h - 1/3*p**3. Find the second derivative of f(a) wrt a.
-2
Let z(c) be the second derivative of -7*c**6/30 + c**3/6 - 22*c. What is the second derivative of z(j) wrt j?
-84*j**2
Let m(h) be the first derivative of h**7/7 - 2*h**3 + 19. Find the third derivative of m(u) wrt u.
120*u**3
What is the third derivative of -31*j**2 + j**5 - 5*j**5 - 6*j**5 wrt j?
-600*j**2
Let s(z) = -z**5 + z**4 + z + 1. Let c(a) = 5*a**5 - 2*a**4 + 4*a**2 - 2*a - 2. Let g(o) = -c(o) - 2*s(o). What is the third derivative of g(h) wrt h?
-180*h**2
Suppose -31 = 4*f - 11. Let n be 2/(-4) - f/2. Find the third derivative of p**2 - 2*p**2 + 0*p**n + 2*p**6 wrt p.
240*p**3
Differentiate 4 - 20*l**2 + 25*l**2 + 8*l**2 wrt l.
26*l
Let x be (-214)/(-14) - 8/28. Let s be (x/20)/(1/8). What is the third derivative of 5*m**3 - 5*m**3 - 4*m**s + 3*m**6 - 4*m**2 wrt m?
-120*m**3
Let h(f) = 33*f**3 - 28*f**2. Let w(m) = 33*m**3 - 29*m**2. Let y(n) = 5*h(n) - 6*w(n). What is the third derivative of y(v) wrt v?
-198
Suppose -4*z + 14 = -l, -2*z = -4*z - 5*l + 18. What is the second derivative of -4*m**2 - 3*m + 7*m + z*m wrt m?
-8
Let q be (-2)/120*-1 + 0. Let o(z) be the third derivative of 0*z - 1/120*z**6 + 0*z**3 - 2*z**2 + 0*z**4 + 0 + q*z**5. Find the third derivative of o(p) wrt p.
-6
Let z(r) be the second derivative of -r**7/7 - r**3/6 + 4*r. What is the second derivative of z(j) wrt j?
-120*j**3
Let i(n) be the first derivative of n**6/120 - n**5/30 - 4*n**3/3 + 1. Let m(l) be the third derivative of i(l). Find the second derivative of m(r) wrt r.
6
Let s(b) = b**3 - 5*b**2 + 6*b - 6. Let f be s(4). Find the third derivative of 2*l**6 + 3*l - 3*l - l**f wrt l.
240*l**3
Let i(t) = 5*t**5 + 8*t**2 + 6*t. Let n = 1 - 0. Let j(r) = r**5 + r**2 + r. Let b(u) = n*i(u) - 6*j(u). Find the third derivative of b(l) wrt l.
-60*l**2
Let u be (-4)/(-22) + 20/11. Suppose -u = -0*b - b. Differentiate b - 3*y**4 - 3 + 2 with respect to y.
-12*y**3
Suppose 4 = -3*y - y, 3*t + 4*y + 4 = 0. Let b(x) be the third derivative of 0 - 1/24*x**4 - 1/6*x**3 + t*x - x**2. What is the first derivative of b(g) wrt g?
-1
Let c(s) be the first derivative of -19*s**3/3 - 9*s**2/2 + 3*s - 2. Find the second derivative of c(i) wrt i.
-38
Let q(y) = 10*y**3 - 3*y**2 - 3*y + 5. Let t(n) = 19*n**3 - 5*n**2 - 5*n + 9. Let l(b) = -10*q(b) + 6*t(b). Find the first derivative of l(k) wrt k.
42*k**2
Let s(q) = q**6 + q**3 - q**2 + q - 1. Let a(c) = -9*c**6 - 4*c**3 - 4*c**2 - 4*c + 4. Let k(l) = a(l) + 4*s(l). What is the third derivative of k(y) wrt y?
-600*y**3
Let i(l) be the first derivative of -29*l**5/5 - 31*l + 25. Differentiate i(x) with respect to x.
-116*x**3
Suppose -4*v = 2*y - y - 4, -4*y = -4*v - 16. Suppose -y = -5*d + 3*d. What is the third derivative of 0*g**2 + 0*g**4 + d*g**2 - g**4 wrt g?
-24*g
Let b(w) = -w**3 + 5*w**2. Let h(s) = 2*s**3 - 10*s**2. Suppose 0 = z - 1 + 4. Let g(f) = z*h(f) - 5*b(f). What is the third derivative of g(m) wrt m?
-6
Let t(p) be the third derivative of 19*p**7/210 - 7*p**5/30 + 18*p**2. Find the third derivative of t(x) wrt x.
456*x
Let a(i) be the second derivative of -i**4/4 - i**2/2 + 5*i. Differentiate a(s) wrt s.
-6*s
Find the second derivative of -3 + 3*m**4 + 0 + 3 + 7*m wrt m.
36*m**2
Let p(n) be the first derivative of 3/5*n**5 - 1/2*n**2 + 3 + 0*n + 0*n**4 + 0*n**3. Find the second derivative of p(r) wrt r.
36*r**2
Let j(i) = -6*i**2 + 20. Let p = -11 + 15. Let d(z) = 0*z**2 - 2*z**2 - 9 + 2 + 4*z**2. Let g(u) = p*j(u) + 11*d(u). What is the first derivative of g(c) wrt c?
-4*c
Let u = 10 - 7. Find the third derivative of w**2 + 7*w**4 - 4*w**6 - 4*w**4 - u*w**4 wrt w.
-480*w**3
Let x(y) = -10*y - 6 + y**2 + 4*y + y**2 + y**3. Let u(m) = 2*m**3 + 4*m**2 - 13*m - 13. Let o(k) = 6*u(k) - 13*x(k). Find the third derivative of o(c) wrt c.
-6
Let f(z) be the second derivative of -z**4/12 - 13*z**3/2 - 9*z**2/2 + 5*z. What is the first derivative of f(o) wrt o?
-2*o - 39
Let i(t) be the first derivative of 0*t**2 - 2*t - 1 + 0*t**3 - 3/4*t**4. What is the first derivative of i(k) wrt k?
-9*k**2
Let p(m) = -6*m**2 - 4*m. Let s(x) = -6*x**2 - 3*x. Let v(c) = -5*p(c) + 4*s(c). Find the second derivative of v(b) wrt b.
12
Suppose 0 = 2*q - 3*d - 5, 3*q - d = 20 - 9. Find the second derivative of 0*g**2 - q*g**2 + 2*g + 2*g**2 + 0*g wrt g.
-4
Let v be (1 - 3)*(-6 + 4). Differentiate c**2 - v*c**2 + 4 + 3 - 4 with respect to c.
-6*c
Let x be 9/(-36) + 26/8. Suppose -5*k = -2 - x. What is the first derivative of -c**2 - 2 + 2 - k wrt c?
-2*c
Suppose a - 19 = -3*t - 0*t, 2*a + 2 = 2*t. Find the second derivative of -1 - q + 1 + 2*q**t wrt q.
40*q**3
Suppose 0 = -5*i + 2*j + 12, 4*j + 5 = 2*i - 3. Find the first derivative of m**2 + 2 + 3*m**i + 2 wrt m.
8*m
Differentiate -10 - 23 - 9*x**4 + 43*x**4 with respect to x.
136*x**3
Let p(n) be the third derivative of n**7/168 + n**4/24 + n**3/3 + 3*n**2. Let b(j) be the first derivative of p(j). Differentiate b(d) 