- 1. What is the third derivative of -5*z**5 + p*z**2 + 6*z**2 - 13*z**2 + 6*z**2 wrt z?
-300*z**2
Let o(j) = -15*j - 26. Let a(f) be the third derivative of -5*f**4/24 - 3*f**3/2 + 3*f**2. Let t(l) = 11*a(l) - 4*o(l). What is the derivative of t(v) wrt v?
5
Suppose 0 = b - 7. Let m = 12 - b. Find the second derivative of 2 + f**5 + f**m - 2*f - 2 wrt f.
40*f**3
Suppose 0 = 6*c - c - 80. Find the second derivative of -f**2 + 2 - 17*f - 2 + c*f wrt f.
-2
Let o(m) = -5*m**2 - 10*m. Let g(c) = -5*c**2 - 9*c. Let u(n) = -4*g(n) + 3*o(n). What is the second derivative of u(x) wrt x?
10
Let k(w) be the second derivative of -10*w**7/21 + 7*w**3/6 - 13*w. What is the second derivative of k(h) wrt h?
-400*h**3
Suppose 2*a - 9 = -5. Suppose 0 = -4*j + 2 + a. Find the first derivative of 3*l**2 - 1 - 4*l**2 + j + 1 wrt l.
-2*l
Suppose -5*n - 11 = 2*x, -5*n - 10 = 5. What is the third derivative of -6*q**6 + q**6 + 5*q**x + q**4 - q**4 wrt q?
-600*q**3
Let r(c) be the first derivative of c**7/280 - c**5/30 + c**3/3 + 3. Let i(p) be the third derivative of r(p). Find the second derivative of i(z) wrt z.
18*z
Let z(s) be the first derivative of s**5/60 - s**4/24 - 5*s**2/2 + 2. Let u(v) be the second derivative of z(v). What is the second derivative of u(g) wrt g?
2
Let g(n) be the second derivative of -n**6/40 - n**4/12 + 3*n**2/2 - 3*n. Let a(s) be the first derivative of g(s). What is the second derivative of a(h) wrt h?
-18*h
Let n(s) = -s**2 - s - 1. Let a be n(0). Let r(q) = 7*q**2. Let w(v) = -v**2 + v. Let p(f) = a*r(f) - 3*w(f). Find the second derivative of p(b) wrt b.
-8
Let s(y) = 3*y - 1. Let u be s(1). What is the second derivative of 2*a**2 + 5*a - a - u*a wrt a?
4
Let u(d) be the first derivative of 0*d**2 + 1/8*d**4 - 1/40*d**5 - 2 + 0*d + 2/3*d**3. Let i(c) be the third derivative of u(c). Differentiate i(r) wrt r.
-3
Find the first derivative of -1 + 1 + 7*u**2 - 4 + 3*u**2 wrt u.
20*u
Let q be (-24)/(-20)*5/2. What is the second derivative of 2*f**q + 3*f + f - f wrt f?
12*f
Let v(w) = w**3 + w**2 + 2. Suppose 0 = -2*f - f. Let x be v(f). Differentiate 4*o**2 + x*o - o**2 - 2*o - 2 wrt o.
6*o
Let j(b) be the third derivative of 3*b**4/8 + b**3/3 - 46*b**2. What is the first derivative of j(s) wrt s?
9
What is the second derivative of 24*p**2 - 24*p**2 + 10*p + 6*p**4 wrt p?
72*p**2
Let i be (-4)/3*6/(-4). What is the second derivative of -f**3 - i*f + 6*f**3 + f wrt f?
30*f
Let n(l) = l**2 - 36. Let k(y) = 2*y**2 - 72. Let j(g) = -4*k(g) + 7*n(g). Find the first derivative of j(t) wrt t.
-2*t
Let x(k) = -4*k**3 + 2*k**2 + k. Let g be x(-1). What is the second derivative of -5*l**4 - g*l + 3*l**5 + 5*l**4 wrt l?
60*l**3
Let h(s) be the first derivative of s**4/2 - 5*s**2/2 - 5. Find the second derivative of h(z) wrt z.
12*z
Let o = 2 + 3. Suppose -5*a - 3*h + o = -17, -a - h = -6. Find the second derivative of v**a + v + 2*v**2 + 2*v wrt v.
6
Let n(j) be the third derivative of 1/42*j**7 + 0*j**6 + 0 + 0*j + 0*j**4 + 0*j**5 - j**3 - 4*j**2. Differentiate n(f) with respect to f.
20*f**3
Let p(q) be the second derivative of -q**5/10 + 7*q**3/6 + 11*q. Find the second derivative of p(m) wrt m.
-12*m
Let u(m) = m**2 - m + 3. Let a be u(0). Suppose 12 = a*y - 3. Find the second derivative of -h**4 - h + y*h + 0*h**4 wrt h.
-12*h**2
Let k = -2 + -4. Let t(v) = v + 8. Let o = -12 - -5. Let u(a) = -a - 9. Let q(z) = k*u(z) + o*t(z). Find the first derivative of q(c) wrt c.
-1
Let g(i) be the third derivative of -i**9/504 - i**5/5 - 4*i**2. What is the third derivative of g(t) wrt t?
-120*t**3
Let c(w) be the third derivative of -2/3*w**3 + 2*w**2 + 0*w + 0*w**5 + 0*w**4 + 1/40*w**6 + 0. Find the first derivative of c(t) wrt t.
9*t**2
Suppose 0 = -2*o + 6*o + 5*h - 45, o - 25 = -4*h. What is the second derivative of -q**5 + 3*q + 0*q**o - 3*q**5 wrt q?
-80*q**3
Let m(v) be the second derivative of -v**7/280 + v**5/40 - 2*v**3/3 + v. Let x(k) be the second derivative of m(k). Find the second derivative of x(l) wrt l.
-18*l
Let b(j) be the second derivative of 2*j**5/5 + 17*j**4/12 + 14*j. What is the third derivative of b(s) wrt s?
48
Let p(c) be the first derivative of c**8/1680 - c**5/60 - c**3/3 - 2. Let x(w) be the third derivative of p(w). What is the second derivative of x(l) wrt l?
12*l**2
Find the second derivative of -25*u**2 + 25*u**2 - 4*u - u**3 wrt u.
-6*u
Let d(t) be the third derivative of -1/12*t**4 - 1/105*t**7 + 0*t + 0*t**6 + 0*t**5 - 2*t**2 + 0*t**3 + 0. Find the second derivative of d(n) wrt n.
-24*n**2
Let h(r) be the first derivative of 6*r**5/5 - 3*r**3 + 3. What is the third derivative of h(u) wrt u?
144*u
Find the second derivative of -73*s**3 + 84*s**3 + s + s**2 + 0*s**2 + 10 wrt s.
66*s + 2
Let k = 20 + -16. What is the second derivative of -14*p**4 + 7*p**k + 3*p + 3*p wrt p?
-84*p**2
Let h(y) = -y**2. Suppose 6*v = 7*v - 1. Let a(t) = -20*t**2 + 4*t. Let p(j) = v*a(j) - 12*h(j). What is the second derivative of p(r) wrt r?
-16
Let b(n) = -13*n**3 - 3*n + 29. Let i(a) = 26*a**3 + 5*a - 59. Let s(x) = 5*b(x) + 3*i(x). Differentiate s(u) with respect to u.
39*u**2
Suppose 0 = 5*c + 3*p - 4, 7*c - 2*c + 4*p = 2. Find the third derivative of -8*n**2 - n**c - n**5 + 7*n**2 wrt n.
-60*n**2
Let l = -6 + 12. Suppose 4*p + 0*p + 0*p = 0. What is the first derivative of -3 - z**4 + l*z**4 + p*z**4 - z**4 wrt z?
16*z**3
Suppose -5*d + 1 = -4*z + 2, 9 = 3*d. Let r = -2 + z. Differentiate 2*u**3 + 0*u + 0*u + r with respect to u.
6*u**2
Suppose 7*o = 3*s + 12*o + 7, 9 = s - 4*o. Let u(k) be the first derivative of -1/3*k**3 + 3*k + s + 0*k**2. What is the derivative of u(t) wrt t?
-2*t
Let s(f) = f**3 + 8*f**2 + 7*f. Let p be s(-7). Suppose p + 3 = 3*c. Find the second derivative of -2*i**5 + 1 - i - i**5 - c wrt i.
-60*i**3
Let i(d) be the first derivative of 5*d**2/2 - 3*d + 6. Let z(s) = -10*s + 7. Let w(t) = -9*i(t) - 4*z(t). What is the first derivative of w(m) wrt m?
-5
Let o be 4 - ((0 - -2) + 0). Find the third derivative of 10*t**2 + 3*t**6 - 14*t**o - t**6 wrt t.
240*t**3
Find the third derivative of 5*q**2 + 18*q**3 - 25*q**3 + 2*q**2 wrt q.
-42
Let n(t) be the first derivative of -t**7/70 + t**5/30 - 2*t**2 - 1. Let z(c) be the second derivative of n(c). Find the third derivative of z(j) wrt j.
-72*j
Suppose 0 + 4 = 2*t. What is the third derivative of 2*g**4 - 3*g**2 + 5*g**t - 3*g**4 wrt g?
-24*g
Let l(m) be the first derivative of m**2 - 12*m + 2. Let w be l(8). What is the second derivative of 15*q**3 - 15*q**3 - 2*q - w*q**4 wrt q?
-48*q**2
Let s(b) = -17*b**3 + 2. Let p(t) = 51*t**3 - 6. Let u(i) = -4*p(i) - 11*s(i). What is the first derivative of u(k) wrt k?
-51*k**2
Let x = 7 + -7. Find the second derivative of 0*n - n**4 + n + x*n wrt n.
-12*n**2
Let z(g) = g**3 + 3*g**2 - g - 4. Let r be z(-3). Let m = r + 6. What is the third derivative of w**2 + m*w**4 - w**2 - 4*w**2 - w**4 wrt w?
96*w
Suppose 0 = -5*q - 5*r + 35, 2*r = -2*q + 6*r + 2. What is the second derivative of -3*u**q - 23*u + 22*u + 0*u**5 wrt u?
-60*u**3
Let k(m) = m**2 - 5*m + 5. Let o be k(-4). What is the second derivative of -36*r - 7*r**2 + o*r - 4*r**2 + r**2 wrt r?
-20
Differentiate -7*n**2 - 53 + 2*n**4 + 2*n**2 - 50*n**2 + 4*n**2 wrt n.
8*n**3 - 102*n
Let y(n) be the third derivative of n**6/10 - n**5/12 - 13*n**2. What is the third derivative of y(r) wrt r?
72
Let r(g) = -g**2 - g. Let n(t) = 2*t**3 - 2*t**2 - 2*t + 1. Let w = 8 + -3. Suppose -7 = -w*q - 17. Let b(k) = q*r(k) + n(k). Differentiate b(x) wrt x.
6*x**2
Let v(p) = 4*p**4 + 1. Suppose -5*c = 4*s - 6, -4*c + 2 = -s - 7. Let b = -5 - c. Let n(z) = 13*z**4 + 4. Let a(t) = b*v(t) + 2*n(t). Differentiate a(i) wrt i.
-8*i**3
Suppose -z - 10 = -6*z. Find the first derivative of -m**2 - 3 + 0*m**z + 4*m**2 - m**2 wrt m.
4*m
Let v(j) be the second derivative of -5*j**6/6 + 7*j**4/3 - 4*j. Find the third derivative of v(x) wrt x.
-600*x
Let u(q) be the third derivative of 0 + q**2 - 1/20*q**5 + 0*q**4 + 0*q - 1/3*q**3. Differentiate u(a) wrt a.
-6*a
Let f = 12 - 12. What is the derivative of 7*c**2 + 2 - c**2 + f*c**2 wrt c?
12*c
Let g(w) = 22*w**3 - 18*w**2 - 6*w - 6. Let z(l) = 44*l**3 - 36*l**2 - 11*l - 11. Let a(p) = -11*g(p) + 6*z(p). Find the third derivative of a(j) wrt j.