 Differentiate -4 + 7 - 3*j**2 + a*j**2 wrt j.
-2*j
Let f(p) = -2*p**3 + 5*p**2 + 11*p - 11. Let h(v) = v**3 - 2*v**2 - 4*v + 4. Let m(z) = -4*f(z) - 11*h(z). Find the third derivative of m(s) wrt s.
-18
Let h(z) be the second derivative of -13*z**7/21 + 4*z**3/3 + 3*z. Find the second derivative of h(w) wrt w.
-520*w**3
Let g = -3 - -8. Let z(f) be the third derivative of 0*f**3 + 1/60*f**g + 0 + 0*f**4 - 1/40*f**6 + 0*f - 2*f**2. Find the third derivative of z(o) wrt o.
-18
Let s(w) be the first derivative of -w**8/84 + w**4/6 - w**2/2 + 4. Let u(n) be the second derivative of s(n). Find the second derivative of u(o) wrt o.
-80*o**3
Let z(d) be the third derivative of -d**6/40 + 2*d**5/15 + 4*d**2. Find the third derivative of z(p) wrt p.
-18
Suppose 14*f - 14 - 14 = 0. Let o(k) be the first derivative of -1/5*k**5 + 0*k**3 + 0*k**f - 3*k - 2 + 0*k**4. Differentiate o(q) with respect to q.
-4*q**3
Let y(i) = -6*i**2 - 7. Let q(h) = 12*h**2 + 14. Let u(n) = 3*q(n) + 5*y(n). What is the first derivative of u(b) wrt b?
12*b
Let b(o) be the second derivative of 3*o**5/4 + 19*o**3/3 + 33*o. Find the second derivative of b(i) wrt i.
90*i
Let k(v) be the first derivative of 2*v**7 - 20*v**3/3 - 2. What is the third derivative of k(o) wrt o?
1680*o**3
Suppose -4*q + 2*a = 4*a - 6, 3*q = 4*a - 1. Let i(v) be the first derivative of -q + 2*v + 0*v**2 - 2/3*v**3. What is the first derivative of i(u) wrt u?
-4*u
Let c(x) be the second derivative of x**5/12 + 5*x**3/3 + x**2/2 - 3*x. Let j(w) be the first derivative of c(w). Differentiate j(u) with respect to u.
10*u
Let m(d) be the second derivative of -5*d**4/12 + 2*d**2 - 8*d. What is the derivative of m(z) wrt z?
-10*z
Let d(m) be the first derivative of 5*m**4/2 - m**2/2 + 17*m + 21. What is the first derivative of d(i) wrt i?
30*i**2 - 1
Let o(b) be the third derivative of 0*b**5 + 0*b**3 + 0*b**6 - 1/8*b**4 + 4*b**2 + 0*b**7 - 1/84*b**8 + 0 + 0*b. What is the second derivative of o(r) wrt r?
-80*r**3
Suppose q - 17 = -3*n + 3, -2*n + 6 = -3*q. Find the third derivative of -8*w**6 - 2*w**2 - n*w**2 + 6*w**6 wrt w.
-240*w**3
Let p = 6 + -4. What is the second derivative of 4*r**2 + 1 - 7*r**p - 1 + 4*r wrt r?
-6
Let v(f) be the first derivative of 2*f**4 - 17*f**3 - 39. Find the third derivative of v(y) wrt y.
48
Let i(w) = 6*w**2 - 9*w. Let p(s) = 13*s**2 - 18*s. Let y(n) = -5*i(n) + 3*p(n). Find the second derivative of y(z) wrt z.
18
Let b(z) = 4*z**2 - 4 + z**2 - 4*z**2. Let a be b(-3). What is the second derivative of l + 0*l**5 - 3*l**a + 0*l**5 wrt l?
-60*l**3
Let n(g) be the third derivative of g**5/24 + g**4/12 + 5*g**3/6 - g**2. Let c(r) be the first derivative of n(r). What is the first derivative of c(s) wrt s?
5
Let r(p) be the third derivative of -p**7/35 - p**5/5 + 7*p**2. Find the third derivative of r(i) wrt i.
-144*i
Suppose 4*f = -2*w - 10, -2*f + 25 = -0*w - 5*w. Let u be 6/(f - 9/(-6)). What is the second derivative of a**2 - 2*a**u - 2*a**4 + 4*a - a**2 wrt a?
-48*a**2
Suppose 0 = -0*y - 3*y + 12. Let o be (-6)/y*(-10)/3. Differentiate 6*a + o - 3*a - 1 with respect to a.
3
Suppose -20*h = -24*h. Let l(s) be the third derivative of -1/8*s**4 - 1/60*s**5 + h*s + 0 + 0*s**3 + 2*s**2. What is the second derivative of l(c) wrt c?
-2
Suppose -4*m = -1 - 11. Let v(b) = b**2 + 2*b + 3. Let o be v(-2). Find the first derivative of 2*n - m + o - 1 wrt n.
2
Let y(s) = s**5 - 6*s**4 - 6*s**3 + 6*s**2 + 6*s. Let i(p) = -p**5 + p**4 + p**3 - p**2. Let n(r) = 6*i(r) + y(r). What is the second derivative of n(v) wrt v?
-100*v**3
Let r be 2/((1/(-1))/(-2)). Let n(l) = 12*l - 3. Let y(i) = -4*i + 1. Let g(v) = r*n(v) + 11*y(v). Differentiate g(o) with respect to o.
4
Let p(o) = 3*o**5 - 2*o**4 + 6*o**2 - 10*o. Let v(w) = 4*w**5 - 3*w**4 + 7*w**2 - 10*w. Let b(c) = -6*p(c) + 4*v(c). Find the second derivative of b(x) wrt x.
-40*x**3 - 16
Let z = 16 + -4. Suppose z = 3*q + q. Differentiate 2*o**4 - q*o**4 - 3 - 3*o**4 wrt o.
-16*o**3
Let d(t) = -t**2 + t - 1. Let v(a) = 2*a**3 + 23*a**2 + 3*a - 3. Let y(g) = 3*d(g) - v(g). Find the third derivative of y(l) wrt l.
-12
Let m(y) be the second derivative of -y**7/630 - y**5/60 - y**4/4 - 3*y. Let j(u) be the third derivative of m(u). Differentiate j(n) wrt n.
-8*n
Let s(j) = 6*j**3 + 6*j**2 - 6*j - 2. Let g(t) = t**4 + 5*t**3 + 5*t**2 - 5*t - 2. Let b(m) = -6*g(m) + 5*s(m). Find the first derivative of b(l) wrt l.
-24*l**3
Suppose -4*s - 3*v = -2*v + 2, 4*s - 3*v - 6 = 0. Let i(m) be the second derivative of -3/2*m**2 - 1/6*m**3 - 2*m + s. Differentiate i(k) with respect to k.
-1
What is the derivative of -9*c - 340 - 24*c + 359 wrt c?
-33
Suppose 0*l + 6 = 3*l. Find the third derivative of -i**3 - 5*i**3 + 7*i**3 + 5*i**3 + 2*i**l wrt i.
36
What is the second derivative of -4*x**2 + 2*x**2 + x**2 + 3*x - 3*x**2 wrt x?
-8
Let p be 10/(-15)*12/(-2). Find the second derivative of -2*x - 9 + 2*x**4 - x**p + 9 wrt x.
12*x**2
Let i(q) = -q**3 - q**2 - q - 1. Let u be i(-2). Suppose 0 = -2*j + 3 + u. What is the third derivative of -4*n**2 + 6*n**2 + j*n**2 - 2*n**2 + 2*n**6 wrt n?
240*n**3
Let i(g) = -g - 1. Let p(w) = -4*w + 1. Let y(z) = -z. Let u(v) = 4*p(v) - 18*y(v). Let q(c) = -5*i(c) - u(c). Find the first derivative of q(m) wrt m.
3
Find the second derivative of -4*k - 11*k**2 - 2*k - 6*k wrt k.
-22
Suppose -2 = -s - 0*s. What is the second derivative of s*l**4 + 0*l**4 + l - 4*l**4 wrt l?
-24*l**2
What is the third derivative of 2 - 13*q**6 - 2 - 9*q**2 + 8*q**2 wrt q?
-1560*q**3
Let k(x) be the first derivative of x**8/1680 - x**6/180 - 2*x**3/3 - 2. Let w(m) be the third derivative of k(m). What is the third derivative of w(t) wrt t?
24*t
Suppose 8 = 5*z - 2. Suppose 5*o - 10 = -5*g, 4*o = 3*g - z - 4. What is the third derivative of 2*c**g + c**6 + 3*c**6 - 2*c**6 wrt c?
240*c**3
Suppose 12 = -3*b, 4*b + 88 - 32 = 4*j. Suppose y + 3 = j. What is the third derivative of -u**2 + y*u**4 + 0*u**3 + 0*u**3 - 8*u**4 wrt u?
-24*u
Let q(m) = 4 + 7*m + 6 + 3 + m. Let l(c) = -c - 1. Let a(k) = 5*l(k) + q(k). Find the first derivative of a(s) wrt s.
3
Find the third derivative of -17*n**3 + 9*n**2 + 7*n**2 + 16*n**2 + 8*n**2 wrt n.
-102
Let g(x) = 7*x - 7. Let t(n) = -n. Let o(h) = -g(h) - 6*t(h). What is the derivative of o(j) wrt j?
-1
Let c(o) be the third derivative of -o**7/42 - o**6/40 + 3*o**3 + 3*o**2. Differentiate c(s) with respect to s.
-20*s**3 - 9*s**2
Suppose 6 = -4*l + 3*w, 0 = 3*l + 3*w - 4*w + 2. Let b(y) be the first derivative of -2*y - 3 + 4/3*y**3 + l*y**2. Find the first derivative of b(z) wrt z.
8*z
Let m(c) = 3 + 19*c - 2*c - 7. Let k(t) = -4*t + 1. Suppose -4 = -o + 5. Let p(y) = o*k(y) + 2*m(y). Find the first derivative of p(q) wrt q.
-2
Let m be -4*(0 + (-1 - -2)). Let p = 6 + m. What is the third derivative of q - q - 3*q**6 - 2*q**2 + q**p wrt q?
-360*q**3
Suppose 0 = n + 1 - 9. Find the second derivative of n*a**4 + 4*a + 7*a**4 + 5*a - 8*a**4 wrt a.
84*a**2
Let f be 1 - (1 - 5 - -5). Find the third derivative of 0*a**2 - 2*a**4 + 7*a**4 + 2*a**2 + f*a**2 wrt a.
120*a
Let a(b) be the third derivative of -b**6/120 + b**4/8 + 5*b**2. Find the second derivative of a(g) wrt g.
-6*g
Let t = 75 - 10. Find the second derivative of -t + s**2 + 65 + s wrt s.
2
Let m(n) = n - 5. Let q = 2 + 5. Let s be m(q). What is the second derivative of 6 - 5*k + s*k - 6 - 2*k**4 wrt k?
-24*k**2
Let t(i) = -52*i**4 - 9*i + 3. Let f(k) = 105*k**4 + 19*k - 7. Let a(s) = 3*f(s) + 7*t(s). Find the second derivative of a(r) wrt r.
-588*r**2
Find the second derivative of -12 + 11*m + 2*m**3 + 12 - 6*m wrt m.
12*m
Let g(c) be the first derivative of -3*c**4/2 + 4*c**2 - 1. What is the second derivative of g(x) wrt x?
-36*x
Suppose 8 = 4*n - 4*v, -5*v = n - 5 + 3. Differentiate -5*u**4 - n + u**3 - 7*u**3 + 6*u**3 wrt u.
-20*u**3
What is the first derivative of -11*m**2 + 6*m**2 - 6 + 7*m**2 wrt m?
4*m
Differentiate -27*b - 14*b**3 - 23*b - 7 + 50*b with respect to b.
-42*b**2
Suppose 3*k - 3*p + 6 = 0, -4*k - 4*p + 2*p = -4. Find the third derivative of 2*w**2 + 4*w**6 + 0*w**2 + k*w**6 wrt w.
480*w**3
Let r(w) = 10*w**2 + 12*w - 3. Let m(u) = 50*u**2 + 60*u - 14. Let h(n) = -6*m(n) + 28*r(n). Find the second derivative of h(x) wrt x.
-40
Let n(q) 