- 9*n**4 + 1 + 13*n**4 wrt n?
12*n**3
What is the second derivative of -311 + c**3 + 20*c + 3*c**4 + 3*c**3 + 310 wrt c?
36*c**2 + 24*c
Let n(k) = -44*k**5 + k**4 + k**3 + k**2 - 43*k - 1. Let o(z) = z**4 + z**3 + z**2 - 1. Let a(t) = n(t) - o(t). What is the second derivative of a(v) wrt v?
-880*v**3
What is the first derivative of 269*b - 497*b - 5 + 250*b wrt b?
22
Suppose -l = 3*p - 51 - 27, 5*l - 65 = -2*p. What is the third derivative of 28*m**2 + m**5 - 6*m**5 - p*m**2 wrt m?
-300*m**2
Find the second derivative of 4*d**2 + 8*d + 18*d**3 - 5*d**3 - 4*d**2 wrt d.
78*d
Let n(z) be the third derivative of -5*z**9/168 + z**5/4 - 15*z**2. What is the third derivative of n(s) wrt s?
-1800*s**3
Let j = -5 - -8. Let l(a) be the first derivative of a**2 + 6*a**j + 0 - 5*a**3 + 1. What is the second derivative of l(n) wrt n?
6
Let p(u) be the second derivative of -2*u**5/5 - 4*u**2 - 9*u. Differentiate p(b) wrt b.
-24*b**2
Let t(u) be the second derivative of 32*u**7/21 + 7*u**4/6 - 28*u. Find the third derivative of t(a) wrt a.
3840*a**2
Let c(k) = k**2 - k. Let u be c(2). What is the derivative of -3*x**4 - 2*x**u + 2*x**2 + 0 + 1 wrt x?
-12*x**3
Let x(u) = -u + 10. Let g be x(8). Let d(a) be the first derivative of 1 - g*a + a - a**2 + 3*a. Differentiate d(o) with respect to o.
-2
Let h(i) be the second derivative of 1/2*i**3 + 0 + 0*i**5 + 0*i**4 - 3*i + 5/42*i**7 + 0*i**2 + 0*i**6. Find the second derivative of h(c) wrt c.
100*c**3
Suppose -3*r + 2 = -4. Find the second derivative of 11*c**2 - 11*c**r + 3*c**5 - 2*c**5 + 3*c wrt c.
20*c**3
Let g(q) be the second derivative of -q**7/105 + q**4/24 + 3*q**2/2 + q. Let y(a) be the first derivative of g(a). Find the second derivative of y(f) wrt f.
-24*f**2
Let s(x) = -3*x**4 + 4*x + 1. Let c(r) = r**2 - r - 2. Let a be c(-2). Let b(j) = -4*j**4 + 5*j + 2. Let l(t) = a*b(t) - 5*s(t). Differentiate l(f) wrt f.
-4*f**3
Let r be 4 + 1 + 2/(-1). Suppose 3*s + s = -r*v + 20, 4*v = 3*s - 15. Differentiate -2 + v*n - 2*n**3 + 0*n with respect to n.
-6*n**2
Let l(t) be the third derivative of -t**6/6 + 25*t**4/12 - 2*t**2 - 2*t. Find the second derivative of l(a) wrt a.
-120*a
Let s = 3 - 2. Let v be 0*s/(-2) - -2. Find the second derivative of 0*w**2 - v*w**2 + 2*w + 3*w**2 wrt w.
2
Suppose 3*n = 4*t + 3, -4*t - 4*n + 27 = -n. Suppose 0 = -5*w + t*u + 16, -w + 2*u + 8 = w. Find the second derivative of 0*y + w*y - y**4 + 0*y**4 wrt y.
-12*y**2
Find the third derivative of -2*p**2 - 18 + 18 + 7*p**2 + 7*p**6 wrt p.
840*p**3
What is the second derivative of -2*q**2 - 4*q**4 + 10*q + 14*q - 8*q wrt q?
-48*q**2 - 4
Suppose 0*m = m - 2. Find the third derivative of 2*b**3 + b**3 + b**m - 5*b**2 + b**3 wrt b.
24
Let x(s) be the second derivative of 0*s**3 + s**2 + 0 - 4*s + 1/4*s**4. Differentiate x(j) wrt j.
6*j
Let s(n) be the second derivative of -n**3/2 - n**2 + n. Let v(w) = -w**2 - 1. Let a(q) = -s(q) + 2*v(q). Find the second derivative of a(y) wrt y.
-4
Let y(b) be the third derivative of 0*b**4 + 0*b**6 + 2*b**2 + 0*b + 1/6*b**3 + 0*b**5 + 0 + 1/210*b**7. Find the first derivative of y(z) wrt z.
4*z**3
Let q(a) = a**3 - 1. Let r(x) = -3*x**3 + 3*x + 1. Let w(m) = m - 1. Let s(v) = -r(v) + 3*w(v). Let j(d) = -q(d) + s(d). Differentiate j(o) with respect to o.
6*o**2
Let i(o) be the third derivative of 0 + 4*o**2 + 0*o**7 - 1/12*o**4 + 0*o**6 + 0*o**3 + 0*o - 1/168*o**8 + 0*o**5. What is the second derivative of i(a) wrt a?
-40*a**3
Suppose 3 = 3*c - 2*h, -c = -3*c - 3*h + 15. Suppose 6*l - c = 3*l. What is the derivative of 3*v - 1 + l + 3 wrt v?
3
Let a(m) be the second derivative of 3*m**5/20 + 9*m**2/2 + 14*m. Find the first derivative of a(i) wrt i.
9*i**2
Let z(a) = a + 1. Let h(t) = -7*t - 2. Let s(r) = 14*r + 3. Let i(q) = -5*h(q) - 2*s(q). Let m(k) = -i(k) + 5*z(k). What is the first derivative of m(y) wrt y?
-2
Let w(z) = -3*z**2 + z. Let a be 18/5 + (-18)/30. Let s(r) = 3*r**2 - r. Let b(n) = a*w(n) + 4*s(n). What is the second derivative of b(o) wrt o?
6
Let a(c) be the first derivative of -c + 0*c**2 + 1/2*c**4 + 0*c**3 - 2. What is the first derivative of a(p) wrt p?
6*p**2
Let g(h) be the first derivative of 11*h**4 + 2*h**3/3 + 6*h**2 + 20. What is the third derivative of g(q) wrt q?
264
Let n be ((-8)/2 - -3)*-2. Find the third derivative of -23*y - y**6 + 4*y**n + 23*y wrt y.
-120*y**3
Let m(w) be the first derivative of w**8/420 + w**5/120 + w**3/3 - 3. Let u(f) be the third derivative of m(f). Find the second derivative of u(h) wrt h.
48*h**2
Let t(o) be the third derivative of -o**7/168 - o**5/24 + o**3/3 - o**2. Let s(y) be the first derivative of t(y). Find the second derivative of s(p) wrt p.
-30*p
Let n = -6 + 8. What is the third derivative of -4*o**5 + 4*o**2 + 5*o**5 - n*o**2 - 2*o**5 wrt o?
-60*o**2
Let o(v) = -6*v + 12. Let g(a) = 7*a - 13. Let l(y) = 5*g(y) + 6*o(y). Differentiate l(i) wrt i.
-1
Let d = 2 - -1. Let v(k) = k. Let o be v(d). What is the derivative of n**3 + 2*n + 2 - 2*n - o wrt n?
3*n**2
Let q(z) be the first derivative of -17*z**4/4 - 2*z**3/3 + 15. Find the third derivative of q(w) wrt w.
-102
Let p(s) be the third derivative of -s**4/12 - s**3/6 - 2*s**2. Find the first derivative of p(a) wrt a.
-2
Suppose 8*f = 10*f - 4. Let p(d) = 2*d - 2. Let u be p(2). Find the first derivative of -12*r**f + u + 14*r**2 + 0 wrt r.
4*r
Let i(y) = -y**2 - 13*y + 4. Let l(x) = 2*x**2 + 25*x - 7. Let g(u) = 7*i(u) + 4*l(u). Find the second derivative of g(b) wrt b.
2
Let u be (6/9)/((-3)/(-18)). Let q(h) = -h + 1. Let o(z) = -2*z**2 + 4*z - 3. Let s(d) = u*q(d) + o(d). Differentiate s(y) with respect to y.
-4*y
Let d(b) be the first derivative of -11*b**4/4 - b**3/3 + 23*b + 73. Differentiate d(z) with respect to z.
-33*z**2 - 2*z
Find the third derivative of -10*b**2 + 94*b + 10*b**6 - 94*b wrt b.
1200*b**3
Let x(k) = k**3 + 11*k**2 + 6. Let h be x(-8). What is the second derivative of -8*n**4 - 208*n + h*n + 2*n**4 wrt n?
-72*n**2
Suppose -2*r = -3*x + 11, 0 = -0*x - 2*x + 2*r + 8. What is the third derivative of -w**2 + x*w**4 - 2*w**4 - 5*w**4 wrt w?
-96*w
Let w = -1 + 4. Suppose -r = w*r. Find the second derivative of 6*x - 3*x - 3*x**4 + r + 0 wrt x.
-36*x**2
Differentiate -50 - 24*h**2 + 22 - 20 wrt h.
-48*h
Let y(a) be the third derivative of 0*a**4 + 0*a + 0 + 1/6*a**3 - a**2 - 1/30*a**5. Differentiate y(q) with respect to q.
-4*q
What is the third derivative of 4*t**3 + 3*t**3 + 19*t**2 - 14*t**4 - 9*t**2 - 3*t**3 wrt t?
-336*t + 24
Suppose -4*k - 5 + 21 = 0. Differentiate 2 - 4*c**2 - 3*c**2 - k*c**2 + 3*c**2 with respect to c.
-16*c
Suppose 4*c - 10 = 2. Suppose 4*b - 2*n - 22 = 0, b + c = -2*b - 5*n. Find the second derivative of 7 - j**b - 7 + 2*j wrt j.
-12*j**2
Let c be -3 - -3 - 2/(-2). Let q be c*(4 - 2) - 2. What is the derivative of 2*v + q - v + 1 wrt v?
1
Suppose 0*q = -14*q. Let t(k) be the first derivative of -4/3*k**3 + 4 - 3/2*k**2 + q*k. What is the second derivative of t(c) wrt c?
-8
Let n(s) = 7*s**2 - 2 - 3*s**2 - 4*s + 4*s**2. Let x(h) = 7*h**2 - 3*h - 2. Let u(o) = 3*n(o) - 4*x(o). Find the first derivative of u(g) wrt g.
-8*g
Let k = 6 + -4. Differentiate u + 2 + u + 0*u + k*u wrt u.
4
Find the second derivative of -4*o**3 + 4*o - 4*o**3 - 6*o - o wrt o.
-48*o
Let u = -9 - -13. Suppose -2*h - 3*j + 7 = -2*j, 4*j - u = -4*h. What is the third derivative of -4*o**2 + 4*o**2 + h*o**5 + 4*o**2 - 2*o**5 wrt o?
240*o**2
Let q(s) = -3*s**4 + 5*s**2 - 4*s. Let h(t) = -8*t**4 + 14*t**2 - 12*t. Let l(w) = 5*h(w) - 14*q(w). Find the second derivative of l(g) wrt g.
24*g**2
Find the third derivative of 9*b**3 - 25*b**3 - b**2 + 11*b**3 wrt b.
-30
Let z(d) be the second derivative of 0*d**4 + 3/20*d**5 + 0 + d**2 + 3*d + 0*d**3. Differentiate z(p) with respect to p.
9*p**2
Let b = 100 + -100. Let d(h) be the first derivative of -1 + 2*h + b*h**2 + 1/3*h**3. Find the first derivative of d(p) wrt p.
2*p
Let m(i) = -i**2 + i - 2. Let h(t) = -56*t**2 - 3*t + 22. Let p(s) = h(s) + 2*m(s). Find the second derivative of p(x) wrt x.
-116
Let x be (-15)/6*8/(-10). Let k = 0 + x. What is the third derivative of -2*o**2 + k + o**6 - 2 wrt o?
120*o**3
Let j = 9 + -7. What is the second derivative of 1 - 3 + 4*i - i**j + 2 wrt i?
-2
Let o = -12 + 17. Find th