 o(g) be the third derivative of g**6/360 + g**5/15 - 7*g**4/24 + 7*g**2. Let q(d) be the second derivative of o(d). What is the derivative of q(k) wrt k?
2
Let t be (-42)/(-9) + (-1)/(-3). What is the second derivative of -3*f**5 - t*f + 3*f + 2*f**5 wrt f?
-20*f**3
Let y(z) = -19*z**3 + 0*z + 0*z - z**5 + 20*z**3. Let r(t) = -t**5 + 3*t**3 - 6*t. Let p(c) = -r(c) + 3*y(c). Find the second derivative of p(a) wrt a.
-40*a**3
Suppose 5 = 5*j - 5. Find the second derivative of u**3 + 0 - 1 - j*u + 1 wrt u.
6*u
Let z(l) = 23*l**2 - 9*l - 21. Let y(g) = 11*g**2 - 4*g - 10. Let s(o) = 9*y(o) - 4*z(o). What is the derivative of s(k) wrt k?
14*k
Let v(l) = -6*l**6 + 6*l**4 - 2*l**2 + 6. Let p(n) = n**4 + 1. Let q(s) = -6*p(s) + v(s). What is the third derivative of q(b) wrt b?
-720*b**3
Let d be 1*2 + (-3)/(-3). Let a = 14 - 8. Find the second derivative of -p**2 + a*p + d*p**2 - 3*p wrt p.
4
Let n(y) = -y**2. Let b(v) = -8*v**3 - 2 + 0*v**3 + 2*v**2 + 9*v**3. Let r(w) = -b(w) - 2*n(w). Differentiate r(t) with respect to t.
-3*t**2
Let s be ((-4)/2)/((-3)/30). Suppose o = -o + s. What is the derivative of o - 9 - 2*f + 5*f wrt f?
3
Suppose 3*n - 5 - 4 = 0. What is the derivative of -3*g + 0*g**3 + 3*g + g**n + 4 wrt g?
3*g**2
Let f be (-21)/(-6) + 9/(-6). Differentiate -28 + 12*l**2 - 2*l**f + 11 + 11 with respect to l.
20*l
Let n(l) be the second derivative of 2*l**2 - 1/15*l**6 + 0*l**3 + 6*l + 0*l**4 + 0 + 0*l**5. What is the first derivative of n(p) wrt p?
-8*p**3
Let p(f) be the second derivative of f**7/21 - 5*f**4/12 - 5*f. What is the third derivative of p(v) wrt v?
120*v**2
Let z(g) = 2*g**4 + g**2 - g - 1. Let t(f) = 6*f**4 + 6*f**2 - 11*f - 17. Let u(i) = -t(i) + 6*z(i). Differentiate u(d) wrt d.
24*d**3 + 5
Let p(r) be the first derivative of -8*r**5/5 - 28*r**3/3 + 11. Find the third derivative of p(v) wrt v.
-192*v
Let d(k) = -k**4 - k**3 + k**2 - 1. Let z(c) = -c**4 + c**3 - c**2 - 6*c + 1. Let t(m) = -d(m) - z(m). Find the second derivative of t(b) wrt b.
24*b**2
Let z(o) be the first derivative of o**2/2 + 5*o + 1. Let s be z(-4). What is the derivative of s + 3*k + 0 - 3*k + k**2 wrt k?
2*k
Let h = 25 + -16. Let o be 12*((-6)/h + 1). What is the first derivative of -1 - o*z**3 + 4*z**3 - z**3 wrt z?
-3*z**2
Find the second derivative of -26*c**4 - 4*c**3 + 10*c + 9*c**4 + 4*c**3 wrt c.
-204*c**2
Let f(x) be the first derivative of -2*x**4 - 8*x**3 - 30. What is the third derivative of f(y) wrt y?
-48
Let s = 18 + -17. Differentiate -7 + 3*u**3 - 7*u**3 + s wrt u.
-12*u**2
Let i be ((-2)/(-4))/((-3)/(-30)). Find the second derivative of -6*y + i*y - 3*y**5 - y wrt y.
-60*y**3
What is the first derivative of 5 - 22 + 0*u**2 - 9*u**2 + 10 wrt u?
-18*u
Let c = 4 - 2. Find the second derivative of 3 - c - 1 + 2*k + k**2 wrt k.
2
Find the third derivative of 115*u**4 - 115*u**4 + 27*u**6 - 29*u**2 - 5*u**2 wrt u.
3240*u**3
What is the first derivative of -6*z**2 - 3*z - 22 + 0*z + z**2 + 7*z wrt z?
-10*z + 4
Let z(p) be the third derivative of -p**8/16 - p**5/6 - 6*p**2. What is the third derivative of z(u) wrt u?
-1260*u**2
What is the second derivative of 3*h**3 - 20*h + 0*h**3 + 9*h wrt h?
18*h
Let w(v) be the second derivative of 7*v**5/20 - 5*v**4/12 + 4*v. What is the third derivative of w(k) wrt k?
42
Suppose 3*a = -3*i - 3, -3*i - 4*a - 2 + 3 = 0. Let k(c) = -c - 2. Let h be k(i). Find the first derivative of -h - 1 + 6 - 3*v**2 wrt v.
-6*v
Let t(x) be the first derivative of 3 + 0*x**3 + 0*x + 0*x**4 + 1/2*x**2 - 1/6*x**6 + 0*x**5. What is the second derivative of t(s) wrt s?
-20*s**3
Let n be -5 + 4 - (-3 + -2). What is the derivative of n - 2*x**2 + 0 - 3 wrt x?
-4*x
Let z be (-2)/4*-14 + -1. Find the first derivative of z + 1 + 2*d**2 - 5 wrt d.
4*d
Let s(j) be the second derivative of 7*j**3/2 + 3*j**2 + 3*j - 3. What is the first derivative of s(o) wrt o?
21
Let r(x) be the second derivative of -3*x**7/14 + 5*x**3/2 + 18*x. Find the second derivative of r(p) wrt p.
-180*p**3
Let c = 3 - 8. Let g = -3 - c. Find the third derivative of -6*i**5 - i**5 + i**g + 4*i**5 wrt i.
-180*i**2
Let o be -2 + (-3)/6*-4. Suppose -8 = -2*m - o. Find the third derivative of 0*y**4 + 2*y**4 - 2*y**2 + y**m wrt y.
72*y
Let y(f) = -f**3 - 7*f**2. Let x be y(-7). Find the first derivative of -3 + x*i + 3*i - i wrt i.
2
Suppose -15 = -5*j - 0. Suppose 0*r = -j*r. What is the derivative of r*i + 0*i + 0*i + 4*i + 1 wrt i?
4
Let f(u) = -u**3 - u**2 + 3. Let b be f(0). Find the third derivative of 104 - 104 + b*t**2 + t**3 wrt t.
6
Suppose -3 - 3 = 2*h. Let g = -1 - h. Differentiate 2 + i**2 + 0 - 1 + g with respect to i.
2*i
Suppose -s - 18 = -4*o, -5*s - 1 = 9. Differentiate -v**o + v**4 - 1 + v**4 - 6*v**4 wrt v.
-20*v**3
Find the second derivative of -26*u**5 + 31*u**5 - u - u wrt u.
100*u**3
What is the third derivative of 5*f**6 - 2*f**4 + 2*f**4 - 8*f**2 + 9*f**2 wrt f?
600*f**3
Find the third derivative of 2*s**2 - 3*s**2 + s**4 - 3*s**2 + 3*s**4 wrt s.
96*s
Let p = 2 - 6. Let a be (-7)/p + (-2)/(-8). Find the third derivative of 3*k**2 - k**a - 3*k**6 + 2*k**6 wrt k.
-120*k**3
Let f(y) be the first derivative of y**4/4 - 9*y**2/2 - 21. Find the second derivative of f(u) wrt u.
6*u
Let v be ((-24)/(-16))/((-2)/(-32)). Let a be (-1)/(-4) + 42/v. Differentiate 7*l**2 - 3 - l**2 - a*l**2 wrt l.
8*l
Let d(s) be the first derivative of 7*s**4/4 + s**2/2 - 7. Find the second derivative of d(x) wrt x.
42*x
Let s(q) be the first derivative of -9*q**2 - 45*q - 5. What is the first derivative of s(f) wrt f?
-18
Suppose -2*o + 3*g + 18 = 0, o = -o - 2*g - 2. What is the first derivative of 3 + 6*c**3 - c**o - 2*c**3 wrt c?
9*c**2
Let o(j) = j**2 - j + 1. Let g(t) = 7*t**2 - 7*t + 5. Let d(i) = g(i) - 5*o(i). What is the second derivative of d(v) wrt v?
4
Suppose 3*c - 7*c + 8 = 3*f, -2*c - 3*f = -4. What is the second derivative of -4*g**2 - c*g**2 + 6*g - 3*g + 3*g**2 wrt g?
-6
Let i(u) be the third derivative of 0*u**3 + 3*u**2 + 0 + 0*u + 0*u**6 + 1/210*u**7 - 1/24*u**4 + 0*u**5. Find the second derivative of i(a) wrt a.
12*a**2
Let a(n) be the second derivative of -n**7/315 - n**5/60 - n**4/6 + 7*n. Let l(v) be the third derivative of a(v). What is the first derivative of l(b) wrt b?
-16*b
Let y(c) be the third derivative of -c**5/60 - 5*c**4/24 + 7*c**2. Find the second derivative of y(t) wrt t.
-2
Suppose 2*s + 2 = 0, 2*f + 3*s = 4*s - 9. Let x = f - -8. Find the third derivative of -z**2 + 2*z**5 - x*z**5 + 2*z**5 wrt z.
60*z**2
Let v(g) be the second derivative of 7*g**5/20 - 4*g**3/3 - 5*g. What is the second derivative of v(i) wrt i?
42*i
What is the third derivative of 48*t**2 + t - 2*t**3 - t - 36*t**2 wrt t?
-12
Let z(a) be the second derivative of -a**8/240 - a**6/60 - a**3/6 + 3*a. Let q(v) be the second derivative of z(v). Find the third derivative of q(g) wrt g.
-168*g
Let o(b) = 30*b. Let y be o(2). What is the derivative of -y*n - 5 + 60*n + 8*n**4 wrt n?
32*n**3
Let n(k) be the third derivative of -1/8*k**4 + 0*k**3 + 0*k - 3*k**2 + 0*k**5 + 1/60*k**6 + 0. What is the second derivative of n(f) wrt f?
12*f
Let g(p) be the first derivative of -6 - p**5 + 6*p - 51*p**4 + 51*p**4. What is the derivative of g(m) wrt m?
-20*m**3
Let q(b) = -b - 4. Let k(h) = h + 5. Let g(m) = -4*k(m) - 5*q(m). Let d(x) = 6*x - 1. Let s(y) = d(y) - 4*g(y). What is the derivative of s(a) wrt a?
2
Let f(z) = 19*z**2 - 15*z. Let c(m) = -38*m**2 + 29*m. Let u(w) = 3*c(w) + 5*f(w). What is the second derivative of u(k) wrt k?
-38
Let u(m) be the second derivative of -5*m**8/56 + m**6/30 + 35*m**4/12 + 41*m. What is the third derivative of u(n) wrt n?
-600*n**3 + 24*n
Let h(f) = -f**2 + 4*f + 10. Let w be h(8). Let s be (-3)/4 - w/8. Find the third derivative of -a**6 - 3*a**2 - a**2 + 3*a**s + 4*a**6 wrt a.
360*a**3
Let s(o) = 3*o**2 + 5*o. Let d(j) be the third derivative of j**5/30 + j**4/8 - 7*j**2. Let p(a) = 7*d(a) - 5*s(a). What is the second derivative of p(k) wrt k?
-2
Let l(u) = 22*u**3 + 13*u**2 + 4*u - 4. Let w(g) = -21*g**3 - 13*g**2 - 3*g + 3. Let j(k) = -3*l(k) - 4*w(k). What is the third derivative of j(n) wrt n?
108
Let t(h) = -2*h**2 + 53. Let z(f) = 3*f**2 + f - 105. Let d(m) = -5*t(m) - 3*z(m). Differentiate d(c) with respect to c.
2*c - 