- 3*a + 2*a**3 + w*a wrt a.
12
Let v(y) be the second derivative of 2*y**6/15 + 7*y**2/2 + y. What is the derivative of v(i) wrt i?
16*i**3
Let t(z) be the second derivative of 3*z**6/5 - 8*z**2 - 3*z. Differentiate t(h) with respect to h.
72*h**3
Let v(j) = -33*j**4 + 3*j**2 - 19*j + 6. Let b(c) = 100*c**4 - 8*c**2 + 58*c - 16. Let l(p) = 3*b(p) + 8*v(p). Find the second derivative of l(w) wrt w.
432*w**2
What is the second derivative of 20*m**5 - 3*m - 8*m + 1 + 0 - 3 wrt m?
400*m**3
Let l(f) be the second derivative of -f**6/5 - 3*f**2 - 7*f. What is the derivative of l(s) wrt s?
-24*s**3
Find the third derivative of 2*f**2 + f**2 + 0*f**3 + 8*f**3 + f**2 wrt f.
48
Let m(s) be the second derivative of s**5/2 - 2*s**4/3 - 9*s. Find the third derivative of m(a) wrt a.
60
Let u(z) = -28*z**4 + 23*z**2 - 8*z + 8. Let q(n) = -19*n**4 + 15*n**2 - 5*n + 5. Let w(x) = 8*q(x) - 5*u(x). Find the third derivative of w(c) wrt c.
-288*c
Let h(l) be the first derivative of -l**6/15 - 2*l**2 - 2*l + 3. Let s(k) be the first derivative of h(k). What is the first derivative of s(y) wrt y?
-8*y**3
Suppose -2*m = -3*o + 24, -o = 4*o - 2*m - 40. Let c be (6 - (3 + -1)) + -2. Find the second derivative of -f**c - o + 8 - 2*f wrt f.
-2
Let x(w) be the second derivative of 0*w**3 + w**2 - 1/6*w**4 + 2*w + 0. Differentiate x(p) with respect to p.
-4*p
Let h(u) be the third derivative of u**5/30 + 4*u**3/3 - 16*u**2. Differentiate h(i) wrt i.
4*i
Let m(n) = 18*n**3 + 17*n**2 + 3. Let a(i) = -55*i**3 - 51*i**2 - 8. Let q(d) = -3*a(d) - 8*m(d). What is the third derivative of q(v) wrt v?
126
Let u(h) = 11*h**4 + 13*h**3 - 17*h**2 - 13*h. Let r(c) = -5*c**4 - 6*c**3 + 8*c**2 + 6*c. Let p(v) = 13*r(v) + 6*u(v). Find the third derivative of p(z) wrt z.
24*z
Let k(p) be the first derivative of 2*p**5 - 22*p - 14. Differentiate k(i) wrt i.
40*i**3
Let a(q) = 62*q + 35. Let w(t) = -63*t - 34. Let u(k) = 6*a(k) + 7*w(k). Differentiate u(d) with respect to d.
-69
Suppose 0*n = 8*n - 16. Let c(p) be the second derivative of -2*p**2 + 0*p**3 + 0*p**4 + 0*p**5 + 0 - 1/15*p**6 + n*p. Differentiate c(m) with respect to m.
-8*m**3
Let v(t) = 11*t**3 - 6*t. Let x(o) = 10*o**3 - 7*o. Let s(q) = 3*v(q) - 4*x(q). Find the second derivative of s(u) wrt u.
-42*u
Let h(d) be the second derivative of -2/3*d**3 - 2*d + 0*d**4 + 0 + 0*d**2 + 2/15*d**6 + 0*d**5. Find the second derivative of h(m) wrt m.
48*m**2
Let s(d) be the first derivative of 0*d**3 + 1/4*d**4 + 0*d + 4 - 1/2*d**2. What is the second derivative of s(i) wrt i?
6*i
What is the second derivative of 2 + 34*g + 9*g - 36*g**2 - 2 wrt g?
-72
Suppose -2*k + s + 4 = 0, 2*k = -s - 3*s + 4. Differentiate 4 - 3 - 2*l + l**k + 2*l wrt l.
2*l
Suppose 0 = 2*h - 4*h + 6. Find the third derivative of n - n**2 - 2*n + n**h + n wrt n.
6
Let o(m) be the first derivative of -3*m**8/56 - m**4/6 + 5*m - 2. Let w(y) be the first derivative of o(y). Find the third derivative of w(j) wrt j.
-360*j**3
Suppose 11 = c + 3*q + 2, 0 = c + 5*q - 13. Find the third derivative of -3*a**3 + 4*a**c - 4*a**2 - a**2 wrt a.
6
Find the third derivative of -18*r**6 - 5*r**2 + 4*r**2 - 16*r**6 + 28*r**6 wrt r.
-720*r**3
Let f(y) = y**5 - y**4. Let g(m) = 20*m**5 - 2*m**4 + 17*m. Let z(j) = 2*f(j) - g(j). Find the second derivative of z(i) wrt i.
-360*i**3
Let u(v) = 9*v**2 + 4*v. Let y(m) = 10*m**2 + 4*m. Let f(d) = 3*u(d) - 2*y(d). Find the second derivative of f(p) wrt p.
14
Differentiate -2 + 6*a - 21 - 6 - 3*a with respect to a.
3
Let j(q) be the second derivative of 0*q**5 + 0*q**3 + 0 - 1/6*q**4 + 1/14*q**7 + 0*q**2 + 0*q**6 + 3*q. What is the third derivative of j(r) wrt r?
180*r**2
Suppose -o - 12 = -5*o, 0 = 2*u + 5*o - 21. Find the second derivative of 0*x**u - x + 0*x**3 - x**4 - 2*x wrt x.
-12*x**2
Let f(p) = 4*p**2 - p - 1. Let k be f(-1). Differentiate -2*j + k + 2*j + j**3 wrt j.
3*j**2
What is the first derivative of -13 + g + 7*g - 8*g - 3*g wrt g?
-3
Let z(s) = 4*s**3 - s**2 - 6. Let r(c) = 1. Let i(x) = -6*r(x) - z(x). Find the third derivative of i(v) wrt v.
-24
Let q be (-1)/(-2 - (-10)/6). Differentiate 1 + u**3 - 3*u**3 + u**q wrt u.
-3*u**2
Let j = 0 + -4. Let n be j*-75*(-2)/(-8). Find the third derivative of 75*u**3 - n*u**3 + 2*u**4 + 4*u**2 wrt u.
48*u
Suppose 53 = 4*l - 5*k, -16 = -2*l - 4*k + 4. Suppose 4*d = d + l. What is the second derivative of -4*j - j + j**5 + d*j + 2*j**5 wrt j?
60*j**3
Let f(y) be the third derivative of 1/30*y**6 + 0*y**4 + 1/10*y**5 + 0*y + 0 - 5*y**2 + 0*y**3. Find the third derivative of f(q) wrt q.
24
Find the third derivative of -21*o**3 + 30*o**3 + 0*o**2 + 7*o**2 + 28*o**2 wrt o.
54
What is the third derivative of 3*a**2 + 11*a**4 + 8*a**4 - 10*a**4 wrt a?
216*a
Let o be (-2)/6 - (-16)/3. Let d be (2 + (-13)/o)*-5. What is the derivative of -2*p + d*p + 3 - 6 wrt p?
1
Let f(j) = 20*j**4 - 8*j**3 + 10*j**2 + 8. Let m(a) = -a**4 + a**3 - 1. Let c(v) = -f(v) - 8*m(v). What is the third derivative of c(h) wrt h?
-288*h
Let d(r) = r**3 - 9. Let t(w) = -1. Suppose -z + 4*z - 4*q = 17, -q - 1 = -4*z. Let a(g) = z*d(g) + 6*t(g). Differentiate a(f) wrt f.
-3*f**2
Suppose -4*j + 4*w - 2*w = -22, -3*j - 4*w = 0. What is the third derivative of h**3 + 3*h**3 - 5*h**2 + j*h**3 - 4*h**3 wrt h?
24
Suppose 0*w + 27 = 5*m - w, -4*m + 4*w + 28 = 0. Suppose -3 = -d, -m*v - 13 = -5*d + 2. Find the third derivative of v*j**6 - 2*j**6 + j**6 - 2*j**2 wrt j.
-120*j**3
Let c be 4/14 + (-20)/70. Let h(y) be the second derivative of 0*y**5 + 0*y**4 + c - 1/2*y**2 - 1/30*y**6 + 0*y**3 + y. What is the derivative of h(l) wrt l?
-4*l**3
Let w = 245/1398 - 2/233. Let d(q) be the second derivative of 0 + w*q**3 + 2*q - q**2. Find the first derivative of d(h) wrt h.
1
Suppose -5*z + 20 = 5. What is the first derivative of 2 - 4*p + z*p - 3*p**3 + p wrt p?
-9*p**2
Suppose 0*i - 3 = -3*v - i, 0 = -3*v - 5*i - 9. Let f(a) be the first derivative of -1/3*a**3 + a**v + 0*a + 2. Find the second derivative of f(w) wrt w.
-2
Suppose -5*f + 2 = -3*o - 1, 5*f = -4*o - 4. What is the second derivative of 10*u**5 - 3*u + f*u + u wrt u?
200*u**3
What is the second derivative of v - 9*v - 2*v**4 - 2*v**2 - 42 - 39 + 82 wrt v?
-24*v**2 - 4
Let q(u) be the first derivative of -2*u**2 + 1/2*u**4 + 0*u**3 - 3 + 0*u. Find the second derivative of q(s) wrt s.
12*s
Let y be (-4)/(-10) + (-56)/(-10). Suppose 4*f = -3*q - y - 0, f - 2*q = 4. What is the derivative of f*v**2 - 1 + 2*v**4 + 0*v**2 wrt v?
8*v**3
Let w(u) = 3*u**3 + 4*u**2 - 9*u. Let y(p) = 4*p**3 + 5*p**2 - 10*p. Let s = -11 + 6. Let c(n) = s*w(n) + 4*y(n). What is the second derivative of c(k) wrt k?
6*k
Let m(r) be the second derivative of -5*r**7/14 + 5*r**4/6 + 4*r. What is the third derivative of m(x) wrt x?
-900*x**2
Let t = 8 + -4. Let d = t + -3. Differentiate d + 0*r + 1 - 2*r wrt r.
-2
Suppose 2*u - 3 = 5*k, -2*u - 2*k + 25 = -13. Differentiate u*h**3 + h**4 + 4 - 14*h**3 with respect to h.
4*h**3
Let z(f) be the second derivative of f**7/14 + f**4 + 9*f. Find the third derivative of z(u) wrt u.
180*u**2
Let g(d) = 38*d**2 - 1. Let j(m) = 13*m**2. Let w(k) = -4*g(k) + 11*j(k). Find the first derivative of w(x) wrt x.
-18*x
Find the third derivative of 28*h**4 + 5*h**4 + 4*h**2 + 2*h - 2*h**2 + 3*h wrt h.
792*h
Let h(l) = -l - 1. Let x be h(-5). What is the third derivative of m**2 + 4*m**4 - 4*m**x - 2*m**4 + 5*m**4 wrt m?
72*m
Let j be (-2*(-2 + 7))/(-2). Suppose 2*n - j = n. What is the second derivative of 4*s**n - 2*s**5 + s + s**5 wrt s?
60*s**3
Let b(p) be the first derivative of 3*p**3 - 7*p + 1. Differentiate b(n) wrt n.
18*n
Let a(o) = 30*o**5 - 3*o**4 - 3*o**2 - 15*o. Let h(y) = 31*y**5 - 2*y**4 - 2*y**2 - 15*y. Let p(f) = 2*a(f) - 3*h(f). Find the second derivative of p(t) wrt t.
-660*t**3
Let x(y) be the first derivative of y**4/12 - 3*y**3/2 - 6*y - 7. Let n(z) be the first derivative of x(z). Find the second derivative of n(s) wrt s.
2
Let d(p) be the first derivative of -1/2*p**4 + 0*p**3 + 3*p**2 + 6 + 0*p. Find the second derivative of d(q) wrt q.
-12*q
Let r(o) be the first derivative of -o**5/40 - o**4/8 + o**3 + 2. Let g(x) be the third derivative of r(x). What is the first derivative of g(u) wrt u?
-3
Suppose 0 = -5*r - 20, 30 = 2*s - 3*r + 10. What is th