 + 30
Let k be ((-2)/4)/((-39)/26). Let y(q) be the first derivative of 1/2*q**2 + k*q**3 + 0*q - 2. Find the second derivative of y(a) wrt a.
2
Suppose 5*s = 3*f + 4, 5*f + 3*s - 1 = 15. Let m be (-4)/5*(-15)/f. Find the third derivative of 3*n**6 - 10*n**6 - 2*n**2 + 4*n**m wrt n.
-360*n**3
Let u = -58 + 60. Let d(i) be the first derivative of -2 + 4/5*i**5 + u*i**2 + 0*i + 0*i**3 + 0*i**4. What is the second derivative of d(m) wrt m?
48*m**2
Let o(c) be the second derivative of 2*c**4 - 4*c**3 - 11*c. Find the second derivative of o(l) wrt l.
48
Let x(k) be the second derivative of -11*k**3/2 + 3*k**2 - 3*k. Differentiate x(p) with respect to p.
-33
Let y(k) = 11*k**5 + 3*k**4 - 5*k**2 + 3*k + 3. Let a(t) = t**4 + t + 1. Let r(j) = 3*a(j) - y(j). Find the third derivative of r(x) wrt x.
-660*x**2
Suppose -5 - 6 = 2*f - 3*r, -2*r = 3*f - 16. Differentiate -p**f + 4 - 1 + 8*p**2 with respect to p.
14*p
Suppose 4*y - 8*y = 0. Let a(q) be the first derivative of -1 + 0*q**3 - 1/2*q**4 + 2*q + y*q**2. What is the first derivative of a(g) wrt g?
-6*g**2
Let d(p) = -p**2. Let a(s) = -6*s**2 + 12. Let v(c) = a(c) - 4*d(c). Find the first derivative of v(l) wrt l.
-4*l
Let x(g) be the third derivative of -1/2*g**3 + 1/210*g**7 + 0*g**5 + 0 + 4*g**2 + 0*g + 0*g**4 + 0*g**6. What is the first derivative of x(q) wrt q?
4*q**3
Let w(m) = -m + 3. Let c be w(5). Let i = c + 4. Find the first derivative of n**3 - 1 + 10*n**2 - 10*n**i wrt n.
3*n**2
Let v(i) = -1. Let a(o) = 21*o + 13. Let g(h) = a(h) + 2*v(h). Find the first derivative of g(w) wrt w.
21
Let i(u) be the second derivative of 5*u**7/21 - 5*u**4/12 - 16*u. Find the third derivative of i(c) wrt c.
600*c**2
Suppose 0 = 4*d + 2*d. Let g(f) be the third derivative of d*f**5 + 1/120*f**6 + 0*f + 1/3*f**3 + 2*f**2 + 0*f**4 + 0. Find the first derivative of g(o) wrt o.
3*o**2
Let p(o) be the third derivative of -o**6/60 + o**4/2 + 8*o**2. Find the second derivative of p(k) wrt k.
-12*k
Let c(f) = 17*f**2 - 65*f. Let d(r) = -8*r**2 + 32*r. Let w(o) = -3*c(o) - 5*d(o). What is the second derivative of w(k) wrt k?
-22
Let k(h) = -10*h**4 - h**2 - 5*h. Let t(w) = 10*w**4 + w**2 + 4*w. Let x(y) = -4*k(y) - 5*t(y). What is the third derivative of x(j) wrt j?
-240*j
Suppose 6*l = l. Suppose l = -g + 6*g - 20. Find the second derivative of 0*j - 3*j**g - j - j wrt j.
-36*j**2
Let z = -3 - -6. What is the third derivative of -v**4 - z*v**2 + 2*v**2 - 4*v**4 wrt v?
-120*v
Suppose 5*f + 37 - 7 = 2*l, 3*f + 3*l - 3 = 0. Let d = f + 8. Find the third derivative of -5*x**2 + 3*x**2 + 2*x**d - 3*x**4 wrt x.
-24*x
Let z = -46 - -48. Suppose 3*w = 2*t + 57, t - 2*t + 108 = 5*w. What is the third derivative of 19*m**2 - w*m**z - 3*m**5 - m**5 wrt m?
-240*m**2
Let o(p) = -p**3 - 4*p**2 + 5*p + 5. Let i be o(-5). What is the third derivative of -i*s**2 - 2*s**2 - s**4 + 3*s**2 wrt s?
-24*s
Suppose 5*u - 28 = -c, 16 = -3*c + 7*u - 2*u. Suppose c = 3*l - 9. Differentiate -2 - 1 + x**4 + 1 + 0*x**l wrt x.
4*x**3
Let r = -17 + 21. Let s(c) be the first derivative of -c + 1/2*c**r + 0*c**3 + 0*c**2 - 1. What is the first derivative of s(o) wrt o?
6*o**2
Let f(d) be the second derivative of 0 + 3*d + 1/2*d**2 + d**3. Let z(q) = 17*q + 3. Let r(i) = -11*f(i) + 4*z(i). Differentiate r(y) with respect to y.
2
Let j(b) = 18*b**3 - 5*b**2 - b + 5. Let c(h) = -17*h**3 + 4*h**2 + 2*h - 4. Let x(f) = -5*c(f) - 4*j(f). What is the second derivative of x(i) wrt i?
78*i
What is the derivative of 0 + 12*p**4 - 8 - 7*p**4 wrt p?
20*p**3
Let h(i) be the third derivative of 0*i**5 + 0*i**3 + 0*i - 1/70*i**7 + 0 + 1/24*i**4 + 0*i**6 - 5*i**2. Find the second derivative of h(l) wrt l.
-36*l**2
Let h(v) be the third derivative of 0*v - 1/60*v**5 + 2*v**2 + 0 + 0*v**4 - 1/6*v**3. What is the first derivative of h(b) wrt b?
-2*b
Let q(s) be the third derivative of 0*s + 4/3*s**3 + 0*s**5 - s**2 - 1/24*s**6 + 0*s**4 + 0. Differentiate q(b) wrt b.
-15*b**2
Let q(u) be the second derivative of -2*u**6/15 - u**5/10 - 19*u**3/2 + 20*u + 2. Find the second derivative of q(d) wrt d.
-48*d**2 - 12*d
Let a = -3 - -5. Suppose -3*g - a*g = -5*j + 10, 4*j - 10 = 3*g. Find the second derivative of -2*r**4 + 2*r - 2*r**4 + r**j wrt r.
-36*r**2
Let r be (0 + -2)/(1/(-2)). Let a(h) = -h**3 + 3*h**2 + 6*h - 5. Let t be a(r). Find the third derivative of -5 + 2*o**3 - t*o**2 + 5 wrt o.
12
Let m(v) be the third derivative of v**7/42 - 17*v**4/12 + 7*v**2. What is the second derivative of m(x) wrt x?
60*x**2
Let p = 0 + 4. Let v(o) = -5*o**3 + 4*o**2 - 4*o - 6. Let n(c) = -4*c**3 + 3*c**2 - 3*c - 6. Let k(a) = p*n(a) - 3*v(a). What is the derivative of k(d) wrt d?
-3*d**2
Find the third derivative of -56*o**4 + 72*o**4 + 17*o**2 - 40*o**2 wrt o.
384*o
Let r(d) = 3*d - 5. Let q be r(4). Let m = -1 + q. Find the third derivative of -w**2 - 3*w**6 + 2*w**2 + 5*w**m wrt w.
240*w**3
Let u(z) = -19*z**2 - 31*z. Let i(a) = 10*a**2 + 15*a. Let w(g) = 9*i(g) + 4*u(g). What is the second derivative of w(l) wrt l?
28
Let p(u) = 4*u**2 - 5*u. Let j(m) = -12*m**2 + 16*m. Let g(t) = 4*j(t) + 11*p(t). What is the second derivative of g(s) wrt s?
-8
Suppose 5*o + 0*c - 18 = 4*c, c + 21 = 4*o. Find the third derivative of 4*n**o - 5*n**6 + 3*n**2 - 2*n**6 wrt n.
-360*n**3
Let k(l) be the second derivative of -4*l**5/5 + 4*l**2 - 4*l. Differentiate k(s) wrt s.
-48*s**2
Let z(i) = -i**3 - 9*i**2 + 7. Let v(p) = p**3 + 5*p**2 - 4. Let t be (11 - 5)/((-6)/(-4)). Let q(m) = t*z(m) + 7*v(m). Find the third derivative of q(k) wrt k.
18
Let j = -2 + 3. Suppose 4*g - 2 - 6 = -2*s, -3*g = 5*s + j. Find the second derivative of 4*m**3 - 6*m**g + 4*m**3 - 3*m - 3*m**3 wrt m.
-6*m
Suppose 2*s - 4 = 2*l, 0 = -2*l - l + 2*s - 2. Find the third derivative of -3*p**6 + p**l - p**2 + 4*p**2 + 0*p**6 wrt p.
-360*p**3
Let s be 6/(1 + -4) + 5. Differentiate -3 + s*q**3 - q**3 + 0*q**3 wrt q.
6*q**2
Suppose 0*a - s = -2*a + 6, 0 = 2*a - 3*s - 6. Differentiate -2*o**4 + 4 + a - 4 - 5 with respect to o.
-8*o**3
Suppose 4*u = 3*s - 13 + 36, 10 = -2*s. Find the third derivative of -5*r**2 + 14*r**4 + 3*r**u - 11*r**4 - 4*r**4 wrt r.
-24*r
Let o(x) = x + 1. Let u(c) = c - 8. Let w(g) = o(g) + u(g). Let y be w(6). What is the second derivative of r**5 - 3*r**y + 2*r - 3*r wrt r?
-40*r**3
Let j(w) be the second derivative of w**5/5 - 2*w**2 - 26*w. What is the derivative of j(v) wrt v?
12*v**2
What is the third derivative of 21*l**5 + 11*l**2 - 5*l**2 + 12*l**2 wrt l?
1260*l**2
Let r(y) be the second derivative of -8*y**4/3 - 5*y**3 - 33*y. What is the second derivative of r(g) wrt g?
-64
Find the third derivative of 14*x**4 + 26*x**2 - 62 + 19*x**2 + 62 wrt x.
336*x
Let h(r) = -87*r**4 + 12*r**3 + 30*r**2. Let n(f) = -35*f**4 + 5*f**3 + 12*f**2. Let t(y) = 5*h(y) - 12*n(y). What is the third derivative of t(m) wrt m?
-360*m
Let z(h) be the third derivative of 0 + 3*h**2 + 0*h + 1/40*h**6 + 0*h**5 - 1/3*h**3 + 0*h**4. Differentiate z(w) with respect to w.
9*w**2
Suppose -p = 3*p. Suppose -3*k + 0*k = p. Differentiate k*l - 2 + 0 + l wrt l.
1
Let b(v) = 8*v**3 + 16*v**2 - 4. Let g(y) = 9*y**3 + 17*y**2 - 5. Let f(m) = 5*b(m) - 4*g(m). What is the third derivative of f(j) wrt j?
24
Let n = 49/2 - 24. Let v(a) be the first derivative of 2/3*a**3 + 0*a**2 + n*a**4 + 0*a + 2. What is the third derivative of v(p) wrt p?
12
Let m(o) be the first derivative of -26*o**3/3 - 3*o**2/2 - 6*o - 38. Find the second derivative of m(b) wrt b.
-52
What is the derivative of -6 + 5*m**2 - 5 + 4*m**2 - 3*m**2 wrt m?
12*m
Let p = -2 + 8. Suppose p = m + m. Let y(q) = q**3 + q + 1. Let f(i) = i**4 - 3*i**3 - 3*i - 5. Let n(j) = m*y(j) + f(j). What is the derivative of n(d) wrt d?
4*d**3
Find the third derivative of -4*x**3 + 5*x**2 - 4*x**3 - x**3 wrt x.
-54
Let a(q) = -6*q**2 + 22*q - 11. Let o(t) = 2*t**2 - 7*t + 4. Let v(w) = -4*a(w) - 11*o(w). Find the second derivative of v(y) wrt y.
4
Find the third derivative of 3*b**3 + 3*b**3 + 0*b**3 - 7*b**3 + 4*b**2 wrt b.
-6
Let l(x) be the third derivative of -x**8/84 - 5*x**4/24 + x**3/6 - x**2 + 8*x. What is the second derivative of l(r) wrt r?
-80*r**3
Find the second derivative of -6*o**3 + 16*o**3 - o - 7*o**3 wrt o.
18*o
What is the third derivative of 19*a**2 - 4*a**2 - 16