- 0. Let t = 4 + f. Find the third derivative of 4*k**2 + k**5 + 2*k**5 - 2*k**t wrt k.
180*k**2
Let u = -26 + 2. Let l be (1/2)/((-4)/u). What is the first derivative of i**3 - 2 + 2*i**l - i**3 wrt i?
6*i**2
Suppose 0*f - 1 = v - 2*f, -16 = -5*v + 3*f. What is the second derivative of 0*u**v - 3*u**5 - 40*u + 36*u wrt u?
-60*u**3
Let v(w) be the second derivative of w**8/840 + w**5/30 - w**3/3 + 6*w. Let z(d) be the second derivative of v(d). What is the second derivative of z(x) wrt x?
24*x**2
Let i(m) be the first derivative of -6*m**2 + 11*m - 3. Differentiate i(b) wrt b.
-12
Let v(d) be the first derivative of d**7/280 + d**6/120 - 4*d**3/3 + 4. Let p(h) be the third derivative of v(h). What is the third derivative of p(g) wrt g?
18
Let g = -6 - -20. Find the first derivative of 1 - 4*z + g*z + 0*z - 5 wrt z.
10
Let l(m) be the third derivative of m**6/24 + 5*m**4/24 + 8*m**2. Find the second derivative of l(o) wrt o.
30*o
What is the second derivative of -21*b - b**2 + 43*b - 3*b**2 wrt b?
-8
Let m(f) be the second derivative of -f**5/4 - f**3/6 - 4*f. Find the second derivative of m(z) wrt z.
-30*z
Let u(g) be the third derivative of -4*g**7/105 + g**5/20 + g**2. What is the third derivative of u(y) wrt y?
-192*y
Find the second derivative of 6*j + 17*j**2 - 17*j**2 - 3*j**4 + 2*j**4 wrt j.
-12*j**2
Let r(c) be the second derivative of 0 + 1/3*c**3 + 0*c**2 + 2*c + 1/6*c**4. Find the second derivative of r(p) wrt p.
4
Let b(c) = -5*c**4 - 4. Let d(k) = -4*k**4 - k - 3. Let s(x) = 3*b(x) - 4*d(x). What is the second derivative of s(u) wrt u?
12*u**2
Let z(s) = 38*s**4 - 5*s**2 + 4*s - 9. Let k(d) = d**4 - d**2. Let m(x) = -5*k(x) + z(x). Find the second derivative of m(p) wrt p.
396*p**2
Suppose j = 3*h - 12, -5*j - 3*h = -16 + 4. Suppose j = -4*y - 0 + 4. Find the first derivative of u - u + 2*u**3 - y wrt u.
6*u**2
Let t(b) = 20*b**2 + 8. Let u(g) = 7*g**2 + 3. Let w(v) = 5*t(v) - 14*u(v). What is the derivative of w(r) wrt r?
4*r
Let v be (-1 - -2)/(5/15). What is the derivative of -2*l**v + l**4 + 2*l**3 + 1 wrt l?
4*l**3
Let x be 5/(-25) - 42/(-10). Let f(l) be the second derivative of 1/20*l**5 + 1/2*l**2 + 0*l**3 + 2*l + 0*l**x + 0. What is the first derivative of f(o) wrt o?
3*o**2
Let s(c) = -5*c + 0*c + 7*c - 4 - 5*c + 7*c**2. Let v(u) = 13*u**2 - 5*u - 7. Let y(a) = -5*s(a) + 3*v(a). Differentiate y(q) with respect to q.
8*q
Let v(c) = -2*c**3 - 1. Let l(o) = -6 - o**3 + 6. Let g(s) = 8*l(s) - 3*v(s). What is the derivative of g(a) wrt a?
-6*a**2
Find the third derivative of 16*w**4 - 17*w**4 + w**2 - 7*w**2 wrt w.
-24*w
Let j(n) be the first derivative of -2*n**3/3 + 32*n + 19. Differentiate j(k) wrt k.
-4*k
Suppose 4 = 2*b - 4*b. Let c(n) = -14*n**3 - 11*n + 26. Let t(o) = -3*o**3 - 2*o + 5. Let d(j) = b*c(j) + 11*t(j). Differentiate d(q) wrt q.
-15*q**2
Differentiate 2 + 5*i**4 + i**3 - i**3 - 8*i**4 with respect to i.
-12*i**3
Let t = 6 - 6. Let o = t + 6. What is the third derivative of -6*k**4 - 3*k**2 - 3*k**o + 6*k**4 wrt k?
-360*k**3
Let g(u) be the second derivative of 1/5*u**5 + 7/12*u**4 + 0*u**3 + 5*u + 0*u**2 + 0. Find the third derivative of g(i) wrt i.
24
Suppose 3*z - 13 - 26 = 0. Let i = -6 + z. What is the third derivative of i*v**2 + v**4 + v**2 - 9*v**2 wrt v?
24*v
Let i(s) be the second derivative of -1/15*s**6 + 0*s**4 + 0 + 0*s**5 - 2*s + 1/2*s**3 + 0*s**2. What is the second derivative of i(w) wrt w?
-24*w**2
Let q(v) = -v**2. Let f(m) = 21*m**3 - 5*m**2 - 20*m. Let w(x) = f(x) - 5*q(x). What is the second derivative of w(y) wrt y?
126*y
Find the third derivative of -184*j**4 + 160*j**4 + 11*j**2 + 6*j**2 wrt j.
-576*j
Let d(z) = 3*z - 1. Let b be d(1). Let v be 4/14 + (-38)/(-14). Find the second derivative of -g**b + g**2 + 3*g - v*g**4 wrt g.
-36*g**2
Let s(u) be the first derivative of -5 + 0*u + 0*u**3 + u**2 + 1/4*u**4. What is the second derivative of s(q) wrt q?
6*q
Suppose -p + 2*i = i - 2, 0 = -3*p + i + 6. Suppose -2*l + 8 + 2 = 0. Find the second derivative of 4*m**l - 2*m**5 - 2*m**2 + 2*m**p + m wrt m.
40*m**3
Suppose g = -2*g + 9. Let f be -1 + 4 - (g + -2). What is the third derivative of 3*d**3 - 3*d**f - 3*d**3 - 2*d**3 wrt d?
-12
Let k(t) be the first derivative of 5*t**4/24 - t**3/3 - 7*t**2/2 - 3. Let i(h) be the second derivative of k(h). What is the derivative of i(u) wrt u?
5
Suppose 15 = 4*i + u + 3, 5*i = -2*u + 15. Let d(j) = -j**2 - 3*j + 3. Let a(o) = -1. Let y(x) = i*a(x) + d(x). What is the second derivative of y(t) wrt t?
-2
Let k(x) be the first derivative of -9*x**5/5 - 2*x**3 - 14. What is the third derivative of k(l) wrt l?
-216*l
Let i = -23 + 139/6. Let c(s) be the first derivative of 0*s + i*s**6 + 0*s**3 - 1 + 0*s**5 + 0*s**4 + 2*s**2. What is the second derivative of c(v) wrt v?
20*v**3
Let i(g) be the third derivative of g**5/15 - 13*g**3/6 - 15*g**2. Differentiate i(p) with respect to p.
8*p
Let y(q) = -q**3 - 4*q**2 - 2*q - 3. Let r be y(-4). Suppose -r*v = -1 - 9. Find the third derivative of -a**2 + v*a**2 + 0*a**6 - 2*a**6 wrt a.
-240*a**3
What is the second derivative of -2*r - 4*r + 17*r**5 - 12*r**5 wrt r?
100*r**3
What is the first derivative of -5 + 0*z**4 - 3*z**4 + 2 + z**4 wrt z?
-8*z**3
Let x = -5 - -5. What is the second derivative of x*l**3 - 5*l + 4*l**3 + 0*l**3 wrt l?
24*l
Let v(w) be the second derivative of 8*w**7/21 - 8*w**3/3 + 19*w. What is the second derivative of v(g) wrt g?
320*g**3
Let s(b) be the first derivative of -b**7/7 - b**3/3 - 2. What is the third derivative of s(v) wrt v?
-120*v**3
Let l = -97 - -100. Let x(z) be the second derivative of 1/6*z**l + 0*z**2 + z + 0 + 1/4*z**4. Find the second derivative of x(n) wrt n.
6
What is the first derivative of 12*i + 41 + 14*i + 2*i - 15 wrt i?
28
Let d(l) = l + 2. Let n(c) = c - 10. Let i be n(8). Let z be d(i). Find the first derivative of z*w**3 + w**3 + 0 + 1 wrt w.
3*w**2
Let r(w) be the third derivative of 0*w**4 + 0*w**3 + 0 + 1/60*w**6 + 0*w + 1/30*w**5 - 2*w**2. Find the third derivative of r(s) wrt s.
12
Let g = 4 + 6. Suppose 0 = 4*t + t - g. What is the third derivative of -t*f**2 + f**3 + f**2 - f**2 wrt f?
6
Let i = 2 - -1. Let c(n) be the first derivative of 2*n - i - 3*n - n - 8*n**2 + 9*n**2. Differentiate c(r) wrt r.
2
Let w be 3*((-4)/(-3))/1. Suppose -4*p + w = -2*p. Differentiate -1 + 0*m**4 - 2*m**4 + p with respect to m.
-8*m**3
Let l(v) = -11*v**3 + v**2 - 4*v + 4. Let w(n) = -11*n**3 + 2*n**2 - 3*n + 3. Let q(c) = -3*l(c) + 4*w(c). Find the third derivative of q(g) wrt g.
-66
What is the third derivative of 2*z**6 + 2*z**2 - 2*z**6 + 0*z**2 - 10*z**6 wrt z?
-1200*z**3
Let g(t) be the first derivative of -2*t + 0*t**3 + 0*t**2 + 1 - 2/5*t**5 + 0*t**4. Differentiate g(y) with respect to y.
-8*y**3
Let y(t) = t**3 - t**2 + t - 1. Let c(m) = -4*m**3 + 5*m**2 - 5*m + 3. Let v(d) = c(d) + 5*y(d). What is the derivative of v(g) wrt g?
3*g**2
What is the first derivative of 3*p**3 - 16 + 3*p**3 + 3*p**3 + 15 wrt p?
27*p**2
Let c(s) be the second derivative of 11*s**6/30 + 3*s**4/4 + 6*s. What is the third derivative of c(v) wrt v?
264*v
Let k(c) = 6*c**5 + 8*c**4 - 6*c - 8. Let h(f) = 2*f**5 + 3*f**4 - 2*f - 3. Let v(a) = -8*h(a) + 3*k(a). Find the second derivative of v(p) wrt p.
40*p**3
Let x = -10 + 1. Let o = x - -13. Find the third derivative of -2*s**o - 2*s**2 + 2*s**2 + 2*s**2 wrt s.
-48*s
Let c(z) be the second derivative of -z**8/1680 - z**6/120 + z**3/3 + z. Let r(f) be the second derivative of c(f). Find the third derivative of r(t) wrt t.
-24*t
Let d(z) be the second derivative of 4*z**6/15 + 5*z**3/6 - 10*z. Find the second derivative of d(q) wrt q.
96*q**2
Let m(g) be the second derivative of -3*g**5/5 - 13*g**3/2 - 34*g. What is the second derivative of m(s) wrt s?
-72*s
Let q(o) = -2*o**2 - 6*o + 3. Let u(p) = p**2. Let c(m) = q(m) + 3*u(m). Let g be c(6). What is the derivative of g*x**3 - 11 + 13 - 2*x**3 wrt x?
3*x**2
Let n(s) be the third derivative of 19*s**5/60 + 3*s**4/4 + 26*s**2. Find the second derivative of n(g) wrt g.
38
Let d = -3 - -8. Suppose 3*q + 4*i = 22 - 8, 0 = -q + d*i - 8. What is the first derivative of h + 3*h - 3*h - q + 0*h wrt h?
1
Let z(l) = 5*l**5 + 23*l**2 - 5*l + 5. Let p(r) = -3*r**5 - 11*r**2 + 2*r - 2. Let x(g) 