 = -j**2 - 5*j + 5. Let v(i) = 6*r(i) + 5*z(i). What is the first derivative of v(p) wrt p?
-12*p
Let z be 3/(9/15) - 3. Find the second derivative of n + 2*n + n**3 - 2 + z wrt n.
6*n
Let s(m) = -m**4 + 3*m**3 + 3*m - 12. Let p(c) = -2*c**4 + 5*c**3 + 5*c - 23. Let q(t) = -3*p(t) + 5*s(t). Find the first derivative of q(y) wrt y.
4*y**3
Suppose 2*i = 3*i. Suppose 2*l = -i*l + 4. Find the third derivative of -j - j**6 + j - l*j**2 wrt j.
-120*j**3
Differentiate 28*i**4 + 2 - 12 - 6*i**4 with respect to i.
88*i**3
Let s(o) be the second derivative of o**10/10080 + o**6/720 + o**4/6 + o. Let b(z) be the third derivative of s(z). What is the second derivative of b(a) wrt a?
60*a**3
Let k(y) be the second derivative of 2*y**5/5 - 13*y**2/2 - 4*y. What is the derivative of k(b) wrt b?
24*b**2
Let m(w) be the third derivative of w**4/24 - w**2. Let b be m(4). Find the second derivative of -3*i**4 - 5*i + 0*i + 0*i**b + i wrt i.
-36*i**2
Let o(r) be the third derivative of 3*r**4/8 - 8*r**3/3 - 13*r**2. Differentiate o(d) wrt d.
9
Let a(r) = 4*r**2 + 17*r + 4. Let b(v) = -v**2 + v + 1. Let q(j) = -a(j) + 4*b(j). What is the second derivative of q(y) wrt y?
-16
Let k(m) = -4*m**4 + 11*m**3 - 28*m + 11. Let j(y) = y**4 - 3*y**3 + 7*y - 3. Let q(s) = -22*j(s) - 6*k(s). Find the second derivative of q(h) wrt h.
24*h**2
Let j(f) = -9*f**4 + 6*f**3 + 6*f**2 + 6*f + 4. Let r(l) = l**3 + l**2 + l - 1. Let y(s) = j(s) - 6*r(s). What is the derivative of y(i) wrt i?
-36*i**3
What is the second derivative of 5*o + 8*o**2 + 10*o**2 - 18*o**2 + 6*o**4 wrt o?
72*o**2
Suppose -5*a = 25 - 65. Let c be a/(-2 + 5 + -1). What is the third derivative of -s**c + 0 + 0 + 3*s**2 wrt s?
-24*s
Let q be (1/8)/(7/(14/6)). Let p(d) be the third derivative of -1/3*d**3 + 0 + d**2 + q*d**4 + 0*d. What is the derivative of p(i) wrt i?
1
Let y(i) be the second derivative of 1/4*i**5 + 4*i + 0*i**4 - 2/3*i**3 + 0 + 0*i**2. What is the second derivative of y(z) wrt z?
30*z
Let o(x) = 0*x - 4*x**2 - 5*x**2 + 6*x**2 - 6 - 4*x**3 + 3*x. Let h(a) = 3*a**3 + 2*a**2 - 2*a + 5. Let r(w) = -3*h(w) - 2*o(w). Differentiate r(q) wrt q.
-3*q**2
Suppose 2*v = w + 3*v + 6, -5*w - 4*v - 35 = 0. Let q(j) = 8*j + 4. Let r(p) = -15*p - 7. Let g(c) = w*q(c) - 6*r(c). What is the derivative of g(u) wrt u?
2
Let j(n) be the first derivative of n**6/10 + n**3/3 - 4*n - 2. Let u(v) be the first derivative of j(v). What is the second derivative of u(b) wrt b?
36*b**2
Let o(n) be the second derivative of n**7/21 - 4*n**3/3 + 7*n. Find the second derivative of o(d) wrt d.
40*d**3
Let v(y) = -y + 8. Let q be v(8). Suppose 0*h - h + 4 = q. Differentiate 2*f**h + 1 - 6*f**3 + 6*f**3 with respect to f.
8*f**3
Let f(m) be the first derivative of -3*m**4/2 - 13*m**3/3 - 9. Find the third derivative of f(p) wrt p.
-36
Let f be 1/(-3) - (-39)/9. Let w = 6 - 3. Differentiate -t - w + f*t - t + 4 wrt t.
2
Let o(k) be the second derivative of k**6/30 + 5*k**4/24 + 2*k**2 - 4*k. Let g(x) be the first derivative of o(x). What is the second derivative of g(s) wrt s?
24*s
Let r(u) be the third derivative of -1/60*u**6 + 0*u**3 + 0*u + 6*u**2 + 0*u**5 + 0 - 1/3*u**4. Find the second derivative of r(a) wrt a.
-12*a
Suppose x + 0*x - 3 = 0. Suppose v + 2 = 5*d, -4*v - x = -2*d + 5. What is the second derivative of 0 - 4*p + d + 3*p**3 wrt p?
18*p
Let h(f) be the third derivative of f**9/24 - f**7/210 - 4*f**5/15 + 37*f**2. What is the third derivative of h(s) wrt s?
2520*s**3 - 24*s
Let w(r) = r + 3. Let f be w(-3). What is the third derivative of -p**2 + 0*p**2 + f*p**2 + 0*p**2 - 2*p**5 wrt p?
-120*p**2
Let z(h) be the first derivative of -h**4 + 5*h**2/2 + 4. Find the second derivative of z(a) wrt a.
-24*a
Let u(m) be the first derivative of -1/6*m**3 + 1/2*m**2 + 3*m + 1. Let w(d) be the first derivative of u(d). Differentiate w(j) wrt j.
-1
What is the third derivative of -17*b**2 + b**3 - 14*b**5 - b**3 + 3*b**2 wrt b?
-840*b**2
Let v(g) be the first derivative of -7*g**4/4 - 8*g - 5. What is the derivative of v(j) wrt j?
-21*j**2
What is the second derivative of 10*n**4 + 14*n + 5*n**4 + 10*n**4 wrt n?
300*n**2
Let o(p) = 11*p - 12. Let q(x) = -22*x + 24. Let j(d) = 9*o(d) + 4*q(d). What is the first derivative of j(n) wrt n?
11
Let f = -13 - -16. Find the first derivative of -3 - i**4 - i**4 + f*i**4 wrt i.
4*i**3
Let o be (-2)/6*0 - -3. Let t be (5/1)/(2 + -1). Find the first derivative of r + t - 1 - o wrt r.
1
Let u(x) be the second derivative of 2*x**4/3 + x**3/3 + 23*x**2 + 9*x - 3. What is the first derivative of u(n) wrt n?
16*n + 2
Let x(p) be the first derivative of p**7/210 - p**4/24 + p**2 - 3. Let n(v) be the second derivative of x(v). What is the second derivative of n(d) wrt d?
12*d**2
Let t(f) = f. Suppose 4*q = 5 - 29. Let s(l) = -3*l**2 + 3*l. Let c(x) = q*t(x) + s(x). Find the second derivative of c(u) wrt u.
-6
Let z(j) be the third derivative of -17*j**5/60 - 5*j**4/12 - 10*j**2. What is the second derivative of z(t) wrt t?
-34
Let s(g) be the second derivative of g**6/60 - g**5/120 - 5*g**3/6 + g. Let p(z) be the second derivative of s(z). What is the second derivative of p(m) wrt m?
12
Let g be ((-12)/8)/((-2)/4). Find the first derivative of -2*s - g*s + 4*s - 2*s - 3 wrt s.
-3
Let d(k) be the first derivative of k**8/112 + k**5/60 + 3*k**2/2 + 2. Let i(h) be the second derivative of d(h). Find the third derivative of i(r) wrt r.
180*r**2
Suppose 3 + 9 = 4*x. Let d(t) be the first derivative of -2 - 2/3*t**x + 0*t**2 + t. Differentiate d(h) with respect to h.
-4*h
Let l(k) be the third derivative of k**8/560 + k**5/60 + k**3/2 - 2*k**2. Let u(c) be the first derivative of l(c). Find the second derivative of u(s) wrt s.
36*s**2
Suppose 3*i + c = -c - 12, -4*i + 7 = -5*c. Let r be i - (0 - (2 - -3)). What is the derivative of -1 + 1 + 3 - 3*q**r + q**3 wrt q?
-6*q**2
Let k = 10 + -4. Let z = 8 - k. What is the third derivative of 0*o**2 - o**2 + 4*o**2 - z*o**4 wrt o?
-48*o
Let c(b) be the first derivative of 2*b**4 - 11*b**3/3 + 9. What is the third derivative of c(l) wrt l?
48
Suppose 0 = -4*c - 0*c - 4. Let p(t) = -7*t**3 - 4*t + 1. Let w(i) = -i**3 - i - 1. Let x(m) = c*p(m) + 4*w(m). Differentiate x(r) wrt r.
9*r**2
Suppose -4*s + 115 - 23 = 0. What is the third derivative of 21*o**5 + 2*o**2 + 2*o**2 - s*o**5 wrt o?
-120*o**2
Let s be (-4 - -6)/((-3)/(-12)*2). Let y(g) be the third derivative of 0 - 2/3*g**3 + 0*g**s - 1/20*g**5 + 0*g - 4*g**2. Differentiate y(a) wrt a.
-6*a
Let d(w) = 44*w**5 - 9*w**2 + 33*w + 9. Let i(r) = 11*r**5 - 2*r**2 + 8*r + 2. Let o(x) = -2*d(x) + 9*i(x). Find the second derivative of o(s) wrt s.
220*s**3
Suppose -1 = -2*p + 3. Let r = -2 - -7. Differentiate r*j**2 + 0 + 4*j**p - 2 - 8*j**2 with respect to j.
2*j
Let v(f) be the first derivative of -3*f**4/2 + 2*f - 5. What is the first derivative of v(i) wrt i?
-18*i**2
Let a(l) be the second derivative of 1/6*l**3 + 3*l + 1/3*l**4 + 0*l**2 + 0. What is the second derivative of a(p) wrt p?
8
Let z(w) be the second derivative of w**8/3360 - w**6/720 + w**4/6 + 2*w. Let u(r) be the third derivative of z(r). Find the second derivative of u(g) wrt g.
12*g
Let t(a) be the third derivative of 7*a**4/12 - 15*a**3/2 + 47*a**2. Find the first derivative of t(z) wrt z.
14
Let l(v) be the first derivative of 0*v**3 + 0*v**4 + 1/2*v**2 + 3 + 0*v + 2/3*v**6 + 0*v**5. What is the second derivative of l(b) wrt b?
80*b**3
Suppose -4*o + 9 + 11 = 0. What is the second derivative of -5*q**4 + 5*q**4 - 5*q + 0*q**o - q**5 wrt q?
-20*q**3
Suppose -2*w + 4*w = 0. Let s(l) be the second derivative of 0*l**5 + 0*l**2 + w*l**4 + 0 - 1/6*l**3 - l + 1/30*l**6. Find the second derivative of s(k) wrt k.
12*k**2
Let f(k) be the third derivative of -41*k**8/336 + k**4/12 + k**3/6 + k**2 - 3*k. Find the second derivative of f(a) wrt a.
-820*a**3
Suppose 0 = -2*a, s - 3 = -6*a + 2*a. Suppose 3*l = -3*b + 2*l + 7, -4*b + 3 = -5*l. Differentiate 4*j**2 - s*j**b + 2 + 0 with respect to j.
2*j
Let f(h) be the second derivative of -13*h**6/15 - h**3/3 + 3*h. Find the second derivative of f(k) wrt k.
-312*k**2
What is the second derivative of 22*y**4 + 1 - 16*y**4 + 2*y - 1 wrt y?
72*y**2
Suppose 0 = -4*w + 16 + 8. What is the third derivative of 1