- 17*k**4 + 3*k - 41*k**4 - 3*k wrt k.
-232*k**3
Suppose 3*i = -i - 24. Let g(b) = b**2 + 6*b + 6. Let s be g(i). What is the third derivative of -u**s - u**2 + 3*u**2 + 2*u**6 wrt u?
120*u**3
Let t(a) = 6*a + 1. Let i be t(7). Differentiate -1 + 43*o - i*o - 4*o**2 with respect to o.
-8*o
Let w(o) = o**3 - 5*o**2 - 5*o - 7. Let v(g) = -g**3 + 3*g**2 + 3*g + 4. Let a(b) = -5*v(b) - 3*w(b). Differentiate a(h) wrt h.
6*h**2
Let r(m) = 29*m**5 - 6*m**4 + 6*m**2 - 30*m - 6. Let s(a) = a**4 - a**2 + 1. Let b(v) = -r(v) - 6*s(v). Find the second derivative of b(y) wrt y.
-580*y**3
Let q(y) = -66*y - 15. Let d(c) = 2*c + 1. Let u(z) = 2*d(z) - q(z). Differentiate u(f) wrt f.
70
Let y(o) be the third derivative of 0*o + 0*o**5 - 8*o**2 - 5/6*o**3 + 0 - 1/30*o**6 + 0*o**4. What is the derivative of y(f) wrt f?
-12*f**2
Let o(d) be the first derivative of -d**6/30 + 2*d**3/3 - d - 2. Let r(b) be the first derivative of o(b). Find the second derivative of r(h) wrt h.
-12*h**2
Let c = 1 + -1. Let y = 1 + c. What is the first derivative of 8*p + 2*p**2 - 8*p - y wrt p?
4*p
Suppose -22 + 10 = -2*c + 4*v, 3*v - 13 = -4*c. Find the third derivative of p**c + 0*p**4 + 0*p**2 + 5*p**4 + 5*p**2 wrt p.
144*p
Suppose -l + 0*l - 4 = 0, -5*c + 3*l = -32. What is the first derivative of 2*g**4 + g**c + 6 + g**4 wrt g?
16*g**3
Suppose 1 + 3 = 2*y. Differentiate -6 + 4*i**y + 5 + 2 - 2*i**2 wrt i.
4*i
What is the second derivative of 6*o**3 + 20*o - 12*o - 28*o**3 + 28*o wrt o?
-132*o
Let o(g) be the first derivative of -g**3/3 - 2*g**2 - g - 3. Let y(v) be the first derivative of o(v). Differentiate y(j) with respect to j.
-2
Let t(m) be the second derivative of m**6/30 + m**4/24 + m**2 + 5*m. Let v(y) be the first derivative of t(y). Find the second derivative of v(q) wrt q.
24*q
Let r(v) = 120*v - 195. Let l(d) = -17*d + 28. Let s(q) = 27*l(q) + 4*r(q). What is the first derivative of s(g) wrt g?
21
Let z = -87 + 90. Let b(p) be the third derivative of -1/30*p**5 + 1/120*p**6 + 0*p + 0*p**4 + 0 + 0*p**z + 2*p**2. What is the third derivative of b(t) wrt t?
6
Find the second derivative of -5*u**3 - 2*u**3 - 3*u**3 + 8*u + 0*u**3 wrt u.
-60*u
Let l = -44 + 44. Let i(m) be the third derivative of 0*m**3 + 1/30*m**6 + l*m - 1/8*m**4 + 0*m**5 + 4*m**2 + 0. Find the second derivative of i(w) wrt w.
24*w
Let z(p) = -14*p**3 - 8*p**2. Let s(j) = 13*j**3 + 8*j**2. Let i(n) = 4*s(n) + 3*z(n). What is the third derivative of i(l) wrt l?
60
Let i(o) = -31*o**2 + 7*o + 8. Let p(y) = 10*y**2 - 2*y - 3. Let x(s) = 2*i(s) + 7*p(s). Differentiate x(n) wrt n.
16*n
Let r(a) = -7*a**3 - 17*a**2 + 2*a - 2. Let q(k) = -7*k**3 - 16*k**2 + 3*k - 3. Let c(g) = -2*q(g) + 3*r(g). Find the third derivative of c(v) wrt v.
-42
Let k(i) be the first derivative of 7*i**5/20 - i**2/2 + 2*i + 2. Let d(f) be the first derivative of k(f). Differentiate d(w) wrt w.
21*w**2
Differentiate 18*u**3 - 3 + 38*u**2 - 38*u**2 with respect to u.
54*u**2
Let g(a) = -a + 5. Let j(r) = 4. Let q be (12/30)/((-2)/10). Let x(k) = q*g(k) + 3*j(k). What is the first derivative of x(w) wrt w?
2
Suppose -2*n - 4 = -3*n. Differentiate -2*d - 5*d + 1 + n*d wrt d.
-3
Let c(l) be the first derivative of -l**4/4 + 4*l + 7. Differentiate c(x) with respect to x.
-3*x**2
Let i(p) be the second derivative of p**6/5 + 5*p**2/2 - 7*p. Differentiate i(q) wrt q.
24*q**3
Let x(w) be the second derivative of -3*w**8/28 - 2*w**4/3 - 28*w. Find the third derivative of x(u) wrt u.
-720*u**3
Suppose 0*g + 10 = 2*g. What is the second derivative of 4*a - 2*a**5 - g*a + 0*a wrt a?
-40*a**3
Let p(x) be the third derivative of -5*x**9/168 + 4*x**5/15 + 16*x**2. Find the third derivative of p(b) wrt b.
-1800*b**3
What is the derivative of 6*a - 6*a + 9 + 5*a + 7*a wrt a?
12
Let d(p) be the second derivative of -2/3*p**3 + 0*p**2 + 0 + 0*p**4 + 0*p**6 + p + 1/21*p**7 + 0*p**5. What is the second derivative of d(j) wrt j?
40*j**3
Let u(q) be the third derivative of 5*q**8/168 + 9*q**4/8 - 2*q**2. Find the second derivative of u(p) wrt p.
200*p**3
Find the third derivative of -8*q + 8*q - 8*q**3 - 5*q**2 wrt q.
-48
Let z(u) be the first derivative of u**4/4 - u**3/3 - u - 3. Let y(x) = -2*x**2 - 1. Let p(f) = 2*y(f) - 2*z(f). Find the third derivative of p(t) wrt t.
-12
What is the derivative of -30 - 37 + 77 - 19*g**2 wrt g?
-38*g
Let t(n) = -6. Let x(u) = -5. Let l(a) = -2*t(a) + 3*x(a). Let o(r) = -r**4 - 3. Let v(p) = -2*l(p) + 3*o(p). Differentiate v(w) with respect to w.
-12*w**3
Let l(o) be the second derivative of -o**7/35 + 5*o**4/12 + 2*o**2 - 9*o. Let v(i) be the first derivative of l(i). What is the second derivative of v(k) wrt k?
-72*k**2
What is the second derivative of -4*c + 0*c + 10*c**3 - 2*c**3 + 3*c**3 wrt c?
66*c
Let p(o) = 3*o**3 - 4*o**2. Let s(t) = t**3 + t**2. Let a(x) = -p(x) - s(x). What is the third derivative of a(f) wrt f?
-24
Let a be 9/(15/6 - 2). Find the third derivative of 0 + 24*z**2 + 3*z**3 - a*z**2 + 0 wrt z.
18
Let n(i) be the second derivative of 0*i**2 + 0 + 1/4*i**4 + 0*i**5 + 0*i**3 + 0*i**6 + 2/21*i**7 - 5*i. Find the third derivative of n(j) wrt j.
240*j**2
Let k(q) be the third derivative of 2*q**2 - 1/105*q**7 + 0*q**6 + 0*q**4 + 0 + 0*q**3 + 1/60*q**5 + 0*q. Find the third derivative of k(i) wrt i.
-48*i
Let z be 4*3*10/24. Let n = -5 + 9. What is the first derivative of d**3 + d**3 + n - z wrt d?
6*d**2
Let b(y) = y. Let l(a) = -6*a**2 + 6*a - 37. Let z(j) = 6*b(j) - l(j). Differentiate z(p) wrt p.
12*p
Let n(p) be the second derivative of -13*p**6/30 + 4*p**3 + 23*p. Find the second derivative of n(c) wrt c.
-156*c**2
Let t = 1 + 7. What is the second derivative of h - 2 - 2 + t*h**2 + 4 wrt h?
16
Let n(o) = 3*o - 2. Let q be 26/10 - 6/(-15). Let t(k) = 0 + q - 8*k + 3. Let b(i) = -14*n(i) - 5*t(i). What is the first derivative of b(c) wrt c?
-2
Let q(o) be the second derivative of -o**6/5 + 21*o**2/2 - 15*o. Differentiate q(d) with respect to d.
-24*d**3
Suppose -q - 17 = -0*l - 5*l, -3*l = 3*q - 21. Suppose -q*b = -5*b + 8. What is the second derivative of t - b*t - 2*t**4 + 3*t**4 wrt t?
12*t**2
Let x(n) = n - 7. Let o be x(9). What is the first derivative of -2*p**o - 2 + p**2 + 4*p**2 wrt p?
6*p
Let y(d) be the first derivative of d**5/5 - d**2 + 1. What is the second derivative of y(x) wrt x?
12*x**2
Suppose 0 = 4*a + a. What is the second derivative of -3*o + a*o**3 - 1 + 1 + 3*o**3 wrt o?
18*o
Let d(z) be the third derivative of -47*z**7/210 + 4*z**3/3 - 10*z**2 + z. What is the derivative of d(q) wrt q?
-188*q**3
Let z = -2 - -5. Let g(h) = 44*h**4 + 32*h**2 + 12*h. Let v(y) = -4*y**4 - 3*y**2 - y. Let f(k) = z*g(k) + 32*v(k). What is the second derivative of f(j) wrt j?
48*j**2
Suppose 217 = 5*x + 4*l + 85, -3*l = 6. Suppose -2*b = -b + 5*o - x, 4*b = -o + 17. What is the second derivative of 2*a - 2*a + 5*a - 2*a**b - 3*a wrt a?
-12*a
Let v(t) = -13*t**4 - 18*t**2 + 4*t + 4. Let d(l) = -l**4 + l**2 - l - 1. Let f(h) = -4*d(h) - v(h). Find the third derivative of f(k) wrt k.
408*k
Let p(g) = -21*g**3 - 31*g**2 - 9*g + 5. Let i(j) = -10*j**3 - 16*j**2 - 4*j + 2. Let z(m) = -5*i(m) + 2*p(m). What is the third derivative of z(k) wrt k?
48
Suppose 0*p + 8 = 2*p. Differentiate p*o**3 + 1 - 5*o**3 + 1 + 0 wrt o.
-3*o**2
Suppose 0 = -5*x + 5, -3*x = 5*a - 0*x - 13. What is the third derivative of -3*s + 2*s**6 + s**a + 3*s wrt s?
240*s**3
Find the second derivative of -6*h + 0*h**5 - 13*h - 10*h**5 wrt h.
-200*h**3
Let x(m) be the third derivative of -m**8/840 - m**6/72 + m**3/2 - m**2. Let k(t) be the first derivative of x(t). Find the third derivative of k(c) wrt c.
-48*c
Let v be (-12)/(-2)*28/6. Let w be v/8 + 1/2. Find the first derivative of 2 + 4 - w + r**3 + 4*r**3 wrt r.
15*r**2
Let h(p) be the second derivative of -p**7/280 + p**4/8 - p**3/2 - 2*p. Let c(q) be the second derivative of h(q). Differentiate c(u) wrt u.
-9*u**2
Let r(d) be the second derivative of -2*d**6/5 + 7*d**3/3 - 13*d. Find the second derivative of r(m) wrt m.
-144*m**2
Suppose 5*y + p = 21, -y - 4*p = 4*y - 24. Find the second derivative of 3*n**y + 4*n - 7*n - n**4 - 5*n**4 wrt n.
-36*n**2
Let b(r) = r**3 - 4*r**2 + 4*r. Let z be b(3). Find the second derivative of -n**3 + n**z + 2*n**3 - n + 2*n wrt n.
12*