
Let i(y) be the third derivative of y**7/840 + y**5/60 + y**4/8 + 2*y**2. Let b(r) be the second derivative of i(r). What is the first derivative of b(a) wrt a?
6*a
Let d = 2 - 0. What is the second derivative of -5*g**5 - 3*g + 2*g**5 + d*g**5 wrt g?
-20*g**3
Let u be 2 + (3 + -3)/3. What is the first derivative of u*s**2 - 15*s + 15*s + 3 wrt s?
4*s
Let b(w) be the first derivative of -w**3 + 2*w + 4. Find the first derivative of b(h) wrt h.
-6*h
Let p(f) = -f**2 - 7*f. Let o(k) = 7*k. Let d(s) = 2*o(s) + 3*p(s). Find the second derivative of d(l) wrt l.
-6
What is the third derivative of 44*d**2 - 27*d**2 + 10*d**2 - 29*d**4 + 4*d**4 wrt d?
-600*d
Suppose -5*t = 25, 10*t = 2*x + 5*t - 29. What is the third derivative of 2*a**2 - 3*a**4 - a**2 + a**4 + 2*a**x wrt a?
-48*a
Let n(q) = 65*q**5 + 9*q**4 - 9*q**2 - 15*q. Let y(d) = -16*d**5 - 2*d**4 + 2*d**2 + 4*d. Let b(g) = -2*n(g) - 9*y(g). Find the second derivative of b(z) wrt z.
280*z**3
Suppose 0 = 3*m - 0*m - 6. Differentiate -w**2 - 2 + 1 + 0*w**m wrt w.
-2*w
Suppose -2*d + d = 3. Let o be d/(2 - (-39)/(-15)). Find the second derivative of -y**o - 4*y + 2*y - y**5 wrt y.
-40*y**3
Suppose 0 = 7*a - 2*a. What is the first derivative of a*q**2 + 3*q**2 - 1 - 6*q**2 wrt q?
-6*q
Suppose 0*v + v = 0. Suppose 2*s + 2 = 0, v*y - y + 4*s = -14. Differentiate 3 + 10*u + 3*u**4 - y*u wrt u.
12*u**3
What is the derivative of -2*i**3 - 4*i**3 - 8 + 2*i**3 - 15*i**3 wrt i?
-57*i**2
Let f(l) be the first derivative of 0*l**2 + 0*l**4 - 2*l + 2/5*l**5 + 0*l**3 - 1. What is the first derivative of f(y) wrt y?
8*y**3
Suppose 5 = 4*k + k. Let n = k - -3. What is the derivative of 2 + n*m - 3*m + 0 wrt m?
1
Let h(t) be the third derivative of 0 + 1/6*t**3 - 1/12*t**4 - t**2 + 0*t. Differentiate h(d) wrt d.
-2
Let s = -1 + 5. What is the derivative of 0 - p**3 + p**3 - 3 + p**s wrt p?
4*p**3
Let w(j) = -24*j**3 + 9*j**2 + j. Let i(z) = -24*z**3 + 8*z**2. Let t(s) = -6*i(s) + 5*w(s). Find the third derivative of t(m) wrt m.
144
Let h(r) be the first derivative of 6*r**5/5 + r**2 + 1. What is the second derivative of h(f) wrt f?
72*f**2
Suppose 0 = 3*a - 2*n - 12, 0 = -4*a - n - 0*n + 5. Find the third derivative of -4*q - a*q**2 - 2*q**6 + 4*q wrt q.
-240*q**3
Let h(j) be the third derivative of j**6/24 - 7*j**3/6 + 8*j**2. Differentiate h(x) wrt x.
15*x**2
Let x(v) be the third derivative of v**7/30 + 3*v**4/4 - 3*v**2. What is the second derivative of x(u) wrt u?
84*u**2
What is the third derivative of 41*q**3 - 7*q**2 + 4*q**2 - 23*q**2 - 11*q**3 wrt q?
180
Let w(y) be the third derivative of 7*y**5/60 - 2*y**3 + 9*y**2. Differentiate w(o) wrt o.
14*o
Let m(g) be the third derivative of g**8/16 - g**5/3 - 16*g**2. What is the third derivative of m(b) wrt b?
1260*b**2
Let i(k) be the second derivative of -k**8/336 - 5*k**4/24 - 3*k**2/2 - 2*k. Let l(v) be the first derivative of i(v). Find the second derivative of l(o) wrt o.
-20*o**3
Let i(v) be the first derivative of 0*v**2 + 0*v**4 + 0*v**6 + 0*v + 5/3*v**3 + 5 - 1/7*v**7 + 0*v**5. Find the third derivative of i(a) wrt a.
-120*a**3
Let g be 7 - (3 + -4 + 4). Find the third derivative of -3*y**2 - 2*y**2 - y**2 - 8*y**g wrt y.
-192*y
Let h(w) = -w. Suppose 2*z = -z + 18. Let q(t) = 0 + 11 - 8 + 0 - 8*t. Let s(a) = z*h(a) - q(a). What is the derivative of s(m) wrt m?
2
Let r(a) = a**3 + 10*a**2 - 15*a + 16. Let z be r(-11). Find the third derivative of 60*w + w**2 - z*w - 6*w**5 wrt w.
-360*w**2
Let f(a) = a**3 - 7*a**2 - 7*a - 6. Let l be f(8). Find the first derivative of 7*b**l - 3 - b**2 - 3*b**2 wrt b.
6*b
Let v(m) = 90*m**5 - 125*m**2 + 35*m. Let n(u) = -10*u**5 + 14*u**2 - 4*u. Let w(s) = -35*n(s) - 4*v(s). Find the third derivative of w(q) wrt q.
-600*q**2
Let n(a) be the third derivative of 0 + 0*a**3 + 1/8*a**4 + 5*a**2 + 0*a + 7/60*a**5. What is the second derivative of n(z) wrt z?
14
Let d(c) = 6*c**4 + 5*c**3 + 5*c**2 + 1. Let b(o) = 3*o**4 + 2*o**3 + 2*o**2. Let x = -7 + 5. Let r(s) = x*d(s) + 5*b(s). Differentiate r(u) with respect to u.
12*u**3
Let a(m) be the second derivative of 9*m**5/20 + m**3/3 - 7*m. What is the second derivative of a(y) wrt y?
54*y
Let j(q) be the third derivative of q**7/105 + 7*q**5/15 + 22*q**2. Find the third derivative of j(m) wrt m.
48*m
Let c be (6 - 3 - -1) + -3. Differentiate 2*y**3 + 0 + 0*y**3 + c - 3*y**3 with respect to y.
-3*y**2
Let l be ((-6)/(-8))/(1/4). Suppose 2*a + 26 = 4*u, 3*u - 32 = a + l*a. What is the third derivative of 4*b**2 - 2*b**5 - 4*b + u*b + b**5 wrt b?
-60*b**2
Let u(p) = p**2 - p**3 + 3*p**2 + 2*p**3 + p - 4. Let t be u(-3). Find the third derivative of 3*r**3 - r**t - 3*r**3 - r**6 wrt r.
-120*r**3
Let k(i) be the third derivative of 0*i**4 + 0*i**3 + 1/12*i**5 + i**2 + 0*i - 1/20*i**6 + 0. What is the third derivative of k(h) wrt h?
-36
Let s(l) = 5*l**2 - 2*l - 7. Let k(a) = 9*a**2 - 5*a - 14. Let h(b) = -2*k(b) + 5*s(b). What is the first derivative of h(q) wrt q?
14*q
Let g(a) = 12*a**2 + 3. Let b(k) = -k**2 + 4*k**3 - 1 - 3*k**3 + 0. Let l(n) = -3*b(n) - g(n). Find the third derivative of l(p) wrt p.
-18
Let u(n) = 2*n**2 - 11. Let f be u(-6). Find the first derivative of r**3 + 0*r**3 + f*r**2 - 61*r**2 + 3 wrt r.
3*r**2
Let k(u) be the first derivative of -5*u**4/12 + 3*u**2 + u + 4. Let o(s) be the first derivative of k(s). Differentiate o(g) with respect to g.
-10*g
Suppose -n + 3*u = -6 - 6, -3*u - 12 = -4*n. Let o(r) be the first derivative of -2*r + n*r**2 - 1/4*r**4 + 0*r**3 - 1. Find the first derivative of o(l) wrt l.
-3*l**2
Let t(h) = h**3 - h + 1. Let r(p) = -p**3 + 4*p + 2*p**2 + p**2 - 7*p + 3. Let q(i) = -r(i) + 3*t(i). What is the third derivative of q(a) wrt a?
24
Find the second derivative of -4*w - 41*w - 61*w**5 + 110 - 112 wrt w.
-1220*w**3
Let m(o) be the first derivative of -o**3/3 + 5*o**2 + 11*o + 11. Let h(p) be the first derivative of m(p). What is the derivative of h(k) wrt k?
-2
What is the third derivative of 9*s**2 + 36*s**3 - 5*s**4 + 4*s**5 - 36*s**3 + 11*s**4 wrt s?
240*s**2 + 144*s
Let n(x) = -x + 23. Let f(h) = h - 34. Let t(w) = -5*f(w) - 7*n(w). What is the derivative of t(l) wrt l?
2
Let b(s) = 10*s**2 - 5*s + 3. Let h(u) = -30*u**2 + 16*u - 8. Let t(p) = 16*b(p) + 5*h(p). Differentiate t(f) with respect to f.
20*f
Let l = 67/810 - 4/81. Let r(m) be the third derivative of -l*m**6 - 2*m**2 + 0 + 0*m + 0*m**4 + 0*m**5 - 1/2*m**3. Find the first derivative of r(i) wrt i.
-12*i**2
Let d(h) = 6*h**3 + 7*h**2 - 3. Let t(w) = -5*w**3 - 6*w**2 + 3. Suppose -2*m = -m - 7. Let x(u) = m*t(u) + 6*d(u). What is the derivative of x(r) wrt r?
3*r**2
Suppose 3*t + 6 = 0, -2*t - t - 4 = j. Differentiate 3 + 5 + 8*h**2 - 4*h**j wrt h.
8*h
Let r(d) be the first derivative of -2*d**5/5 - 17*d**2/2 + 8. What is the second derivative of r(j) wrt j?
-24*j**2
Let q(o) = 6*o**3 - 2*o**2 + 2*o + 2. Let f(n) = n**2 - n + 1. Let w be 1 - (-3 - 5/(-1)). Let i(u) = w*q(u) - 2*f(u). Differentiate i(r) wrt r.
-18*r**2
Let k = -13 + 16. Let s(n) = -4*n**4 - 3*n**2 + 3*n + 5. Let o(u) = -7*u**4 - 5*u**2 + 5*u + 9. Let c(l) = k*o(l) - 5*s(l). Differentiate c(q) wrt q.
-4*q**3
Suppose -2*y + 28 = g - 5*g, -3*y = -2*g - 30. Find the second derivative of -4*q**3 - 2*q + 7*q - y*q**3 + 14*q**3 wrt q.
12*q
Let x(m) be the second derivative of m**6/360 + m**5/12 - 5*m**4/6 - 10*m. Let y(v) be the third derivative of x(v). Find the first derivative of y(r) wrt r.
2
What is the derivative of 2*p**2 + 7 - 3*p**2 + 2 - 3*p**2 wrt p?
-8*p
Let k(x) = x. Let y(c) = 0*c**5 + 4*c**5 - 2*c**5 - c - c**5. Let a(j) = -4*k(j) - 5*y(j). What is the second derivative of a(i) wrt i?
-100*i**3
Let j(s) = -s**2 + s. Let r(a) = -11*a**2 + 6*a + 2. Suppose 3*z + 13 = -5. Let i(c) = z*j(c) + r(c). Find the first derivative of i(t) wrt t.
-10*t
Let a = -4 + 3. Let c(f) = -5*f**3 + 4*f**2 - 6*f - 6. Let w(y) = -y**3 + y**2 - y - 1. Let b(i) = a*c(i) + 6*w(i). Find the third derivative of b(k) wrt k.
-6
Let c = 27 - 10. Differentiate -11*b**3 + 2*b**3 + 8 + c*b**3 with respect to b.
24*b**2
Let k(u) = -6*u**3 + 4*u**2 - 4*u - 50. Let q(t) = 13*t**3 - 8*t**2 + 9*t + 99. Let d(w) = -9*k(w) - 4*q(w). Find the first derivative of d(r) wrt r.
6*r**2 - 8*r
Let d(h) be the first derivative of -3*h**