q?
-6
Let g(z) be the second derivative of z**5/60 - 5*z**3/6 + 5*z**2/2 + 2*z. Let i(v) be the first derivative of g(v). Differentiate i(y) wrt y.
2*y
Let a(k) be the second derivative of 4*k**7/21 + 5*k**3/6 + 22*k. What is the second derivative of a(f) wrt f?
160*f**3
Suppose -2 = -2*x - 2*b, 5*b + 4 = -3*x + 3. Let v(m) be the first derivative of 0*m**2 + 2*m + 1/4*m**4 + 0*m**x + 2. What is the derivative of v(o) wrt o?
3*o**2
Let f(g) = g**4 - g**3 - g**2 - g - 1. Let n(m) = 6*m**4 - m**3 - m**2 - 19*m - 1. Let v(s) = f(s) - n(s). Find the second derivative of v(t) wrt t.
-60*t**2
Let q(s) be the first derivative of s**8/840 - s**5/60 + 2*s**3 + 3. Let u(n) be the third derivative of q(n). Find the second derivative of u(r) wrt r.
24*r**2
What is the third derivative of -10*t**4 - 19*t**5 + 6*t**5 + 10*t**4 - 9*t**2 wrt t?
-780*t**2
Let j be 9/6 + (-6)/(-4). Find the third derivative of -43*k**3 - k**2 + 43*k**j + k**5 wrt k.
60*k**2
Let h(o) = -1. Let l(u) be the first derivative of u**2 + 4*u - 1. Let w be -2*1 + (-3 - -3). Let x(p) = w*h(p) - l(p). Find the first derivative of x(v) wrt v.
-2
Let i(q) be the first derivative of 7*q**5/5 - 3*q - 7. Differentiate i(c) wrt c.
28*c**3
Let v = -1 + 2. Suppose -2*n + 7 = v. What is the third derivative of n*i**2 + 4*i**2 + 3*i**4 - 3*i**2 wrt i?
72*i
What is the second derivative of 16*l - 13*l - 2*l**4 + 37*l + 4*l**4 wrt l?
24*l**2
Let u(i) be the second derivative of 0 - 1/4*i**4 + 2*i + 3/20*i**5 + 0*i**3 + 0*i**2. Find the third derivative of u(l) wrt l.
18
Let b(q) be the third derivative of -7*q**6/24 - 13*q**4/8 + 27*q**2. What is the second derivative of b(n) wrt n?
-210*n
Let f(c) be the second derivative of -c**8/28 + c**6/15 + 9*c**4/2 - 37*c. What is the third derivative of f(d) wrt d?
-240*d**3 + 48*d
Let n(j) = 2*j**2 - j. Let v be n(1). Let t = 0 + v. What is the second derivative of -3*s - 4*s**3 - 1 + 2 - t wrt s?
-24*s
Find the second derivative of 0*r**3 - 21*r**3 - 43*r + 50*r wrt r.
-126*r
Suppose 4*f - 3*r + 4 = 0, r + 5 = -5*f - r. Let o(v) = -7*v + 12. Let w(n) = -1. Let k(a) = f*o(a) - 6*w(a). Differentiate k(b) wrt b.
7
Suppose -2*x - 2*x = 5*o, -o = 2*x - 6. Suppose -b - 5 = -3*m, -m - b = -x*b + 2. What is the second derivative of 1 + 2*d**m - 3*d**2 - 1 + d wrt d?
-2
Let i(p) be the third derivative of 4*p**2 + 0*p + 1/120*p**6 + 0*p**4 + 0 + 1/6*p**3 + 0*p**5. Find the first derivative of i(r) wrt r.
3*r**2
Let m(v) = 16*v**4 - 6*v**2. Let h(k) = -31*k**4 + 12*k**2. Let n(u) = -3*h(u) - 5*m(u). What is the third derivative of n(a) wrt a?
312*a
Let g(i) be the second derivative of 2*i**6/15 - i**4/3 - 3*i. What is the third derivative of g(x) wrt x?
96*x
Suppose -4*g = -5*g. Suppose g = -3*z + z + 4. Find the second derivative of -4*t**2 + 2*t**2 + z*t - 4*t wrt t.
-4
Let o(i) be the second derivative of -1/10*i**6 + i**2 + 0 + 0*i**3 + 0*i**5 - 2*i + 0*i**4. Differentiate o(r) wrt r.
-12*r**3
What is the third derivative of 12*m**5 - 2*m**2 - m**5 + 6*m**2 - 8*m**5 wrt m?
180*m**2
Let h = 3 - 1. Find the second derivative of -h + 2*s + 4*s - s**5 + 2 wrt s.
-20*s**3
Let m be 4/(-6)*(-27)/6. Differentiate 1 - 2*h - m + h with respect to h.
-1
Let h(a) = a**4 - a**3 + a**2 - a. Let w(l) = 7*l**6 + 9*l**4 - 9*l**3 + 6*l**2 - 9*l. Let q(c) = 18*h(c) - 2*w(c). Find the third derivative of q(f) wrt f.
-1680*f**3
What is the second derivative of 41*b**2 + 26*b + 6*b - 51*b**2 wrt b?
-20
Find the second derivative of -20*n**5 - 57*n - 4*n**3 + 10*n**3 + 0*n**3 + 19*n**5 wrt n.
-20*n**3 + 36*n
Let t = 7 - 5. Let a = t + 1. Find the third derivative of x**2 - 2*x**2 - 2*x**a - 3*x**2 wrt x.
-12
Let i(k) = -k + 1. Let c(t) = 4*t**2 - 4*t - 11. Let z(x) = c(x) - 4*i(x). Find the first derivative of z(q) wrt q.
8*q
Suppose 3*x = -5*h - 6, x = 3*h + 9 + 3. Suppose -r = 5*z + x*r - 22, -4*z = -4*r + 4. What is the derivative of -3*d**2 + z*d**4 + 2 + 3*d**2 wrt d?
8*d**3
Let f(c) be the first derivative of -49*c**5/5 + c**2 - 8*c + 56. What is the second derivative of f(p) wrt p?
-588*p**2
Suppose -18 = -y - 3*u, -32 - 6 = -5*y - 2*u. What is the third derivative of -2 + y*t**2 - 4*t**2 + 5*t**3 + 2 wrt t?
30
Let a(r) = -37*r**3 - 9*r**2 - 3*r - 9. Let m(s) = 18*s**3 + 4*s**2 + s + 4. Let x(l) = -4*a(l) - 9*m(l). What is the second derivative of x(f) wrt f?
-84*f
Find the first derivative of 76*k + 3 - 5 - 55*k + 5 wrt k.
21
Suppose -2*u + 12 = -3*c - c, -3*c = 5*u - 4. Find the third derivative of 2*a**u + a**2 - 2*a**4 + 0*a**4 wrt a.
-48*a
Let v(l) be the third derivative of l**7/1260 - l**5/60 + l**4/8 + 2*l**2. Let m(a) be the second derivative of v(a). Find the first derivative of m(s) wrt s.
4*s
Suppose 2*r - 5 = -3*j, j + 0 = -4*r - 5. Suppose -2*u = -4*u + 10. Differentiate 4*i**3 - 1 + 4*i**j - u*i**3 with respect to i.
9*i**2
Suppose 4*g - g + 3*j - 15 = 0, -5*g + 3*j = -17. What is the second derivative of -11*v**g - 3*v**5 + 11*v**4 + 5*v wrt v?
-60*v**3
Let h(v) be the third derivative of -v**9/7560 - v**6/720 + v**5/15 + 2*v**2. Let t(c) be the third derivative of h(c). Differentiate t(g) wrt g.
-24*g**2
Let r(q) = 9*q**2 + 2*q + 3. Let g(b) = b**2 + b - 1. Let o(a) = 2*g(a) - r(a). Differentiate o(w) wrt w.
-14*w
Let x(f) be the first derivative of -5*f + f**3 + 3*f - 4 - f - f. What is the derivative of x(h) wrt h?
6*h
Let i(n) be the second derivative of -n**5/20 + n**3/3 + 10*n. What is the second derivative of i(h) wrt h?
-6*h
Let l(x) be the second derivative of x**9/1680 + x**7/504 + 2*x**4/3 - 5*x. Let a(b) be the third derivative of l(b). Find the third derivative of a(t) wrt t.
216*t
Let m be 2 + -2 + (-8)/(-4). What is the second derivative of -z**m + 0*z - 4*z - 2*z**2 wrt z?
-6
Let i(f) be the third derivative of -f**4/24 + f**3/3 + 11*f**2. Differentiate i(a) with respect to a.
-1
Suppose 2*g = 8 - 20. Let z = 8 + g. Find the third derivative of -x**z - 4*x**6 + 3*x**6 - x**6 wrt x.
-240*x**3
Let y(o) be the second derivative of -o**5/120 - o**4/4 - o**3 + 2*o. Let u(n) be the second derivative of y(n). What is the first derivative of u(v) wrt v?
-1
Let b(m) be the first derivative of -m**5/20 - m**4/24 + 3*m**2/2 + 3. Let x(r) be the second derivative of b(r). What is the second derivative of x(c) wrt c?
-6
Let j be 2 - 3 - -1 - -3. Suppose 0*u + j*q + 2 = 4*u, 2*u = -2*q + 8. Find the third derivative of -2*x**u + 0*x**2 - x**3 + 2*x**5 + x**3 wrt x.
120*x**2
Find the second derivative of 5*l**5 - 12*l**5 + 3*l - 7*l - 14*l wrt l.
-140*l**3
Differentiate -42*o - 9 + 42*o + 4*o**2 wrt o.
8*o
Let n be (-2)/5 - 204/(-60). Let m(d) = -3*d**3 - 3*d**2 - 3*d + 4. Let r(v) = 3*v**3 + 4*v**2 + 4*v - 3. Let c(h) = n*r(h) + 4*m(h). Differentiate c(k) wrt k.
-9*k**2
Let r(y) be the second derivative of -1/2*y**3 + 0 + 0*y**2 - 3*y + 0*y**4 - 1/20*y**5. What is the second derivative of r(m) wrt m?
-6*m
Let i(t) = -5*t**2 - t - 2. Let q(b) = 19*b**2 + 3*b + 9. Let z(a) = -9*i(a) - 2*q(a). Find the second derivative of z(j) wrt j.
14
Let g(o) = -46*o**3 - 17*o**2 + 39*o - 17. Let b(l) = 15*l**3 + 6*l**2 - 13*l + 6. Let k(c) = 17*b(c) + 6*g(c). What is the second derivative of k(p) wrt p?
-126*p
Let x(d) = -4*d - 3. Let l be x(-3). Differentiate 12 - l - 5*m**3 + 3*m**3 with respect to m.
-6*m**2
Let q(h) = -9*h**2 - 2*h + 10. Suppose 0 = 29*n - 26*n - 6. Let k(c) = -37*c**2 - 9*c + 40. Let v(t) = n*k(t) - 9*q(t). What is the derivative of v(o) wrt o?
14*o
Find the third derivative of 12*n**2 - 14*n**3 - 5*n**4 + 14*n**3 wrt n.
-120*n
Let r(z) = -2*z**2 + z. Let j(v) = v. Let y(x) = 4*j(x) - r(x). Let p be y(-2). What is the third derivative of 3*c**6 + c**2 + c**p + c**2 wrt c?
360*c**3
Let l(s) be the third derivative of -s**6/60 + s**5/15 + 4*s**2. What is the third derivative of l(r) wrt r?
-12
Let h = 89 + -2669/30. Let g(n) be the second derivative of 0*n**2 - 1/6*n**3 + 0*n**5 - h*n**6 + 0 + 0*n**4 - 2*n. Find the second derivative of g(k) wrt k.
-12*k**2
Suppose 0*f - 27 = -3*f - 4*h, f + h = 8. Suppose 11 = 4*p - 0*p - u, 0 = f*p + 4*u - 19. Find the second derivative of 3*o + 0*o**3 - o - 2*o**p wrt o.
-12*o
Let n(z) = 2*z**3 - 2*z**2 + 4. Let w(g) = g**3 - 3*g**2 + 5. Let b(j) = 5*n(j) - 4*w(j). What is the third derivative of b(i) wrt i?
36
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