m + m = -k + 6. Let i be (-63)/(-18) + 1/m. Find the second derivative of -6*x**i - 4*x + 2*x + 4*x**4 wrt x.
-24*x**2
Let k(r) be the third derivative of 0 + 0*r**5 - 1/8*r**4 + 0*r**3 + 0*r - 2*r**2 - 7/120*r**6. What is the second derivative of k(m) wrt m?
-42*m
Let h(u) = -u**2 - 3*u. Let d(n) be the first derivative of n**3/3 + n**2 - 4. Let k(f) = 7*d(f) + 5*h(f). Find the second derivative of k(a) wrt a.
4
Let p be (2/(-12))/(-2 - -1). Let k(s) be the second derivative of 0*s**2 + s + 0 + p*s**4 + 1/6*s**3. Find the second derivative of k(v) wrt v.
4
Let i(k) = 141*k**3 - 49*k**2 - 5*k - 1. Let j(m) = -70*m**3 + 24*m**2 + 2*m. Let a(d) = 2*i(d) + 5*j(d). What is the third derivative of a(w) wrt w?
-408
Let n be 1/(-3) - 20/(-6). What is the second derivative of 0*r + 2*r**2 + 3*r - n*r**2 wrt r?
-2
Suppose 2 = 3*k - 7. Find the third derivative of 3*t**2 + 5*t**k + t - t - 4*t**3 wrt t.
6
Let v be ((-6)/15)/((-3)/5). Let q(b) be the first derivative of v*b**3 + 0*b**2 - 1 + 0*b - 2/5*b**5 + 0*b**4. Find the third derivative of q(p) wrt p.
-48*p
What is the second derivative of 9 - 3 - 6 - 15*j - 5*j**4 wrt j?
-60*j**2
Find the third derivative of -13*g**4 + 6*g**2 + 5*g**2 + 3*g**2 + g**4 wrt g.
-288*g
Find the third derivative of -8*c**4 - 16*c**2 - 31 + 31 + 5*c**2 wrt c.
-192*c
Let i(t) be the first derivative of -6*t + 5/2*t**4 + 0*t**2 + 0*t**3 - 6. Differentiate i(m) wrt m.
30*m**2
Let g = 5 + -2. What is the second derivative of g*h - 2*h**3 - 5 + 5 wrt h?
-12*h
Find the first derivative of -2*w + 67 + 2*w - 38 + 2*w**2 wrt w.
4*w
Let m(w) = w + 1. Let v(o) = -o**2 - 8*o + 10. Let l be v(-9). Let y(f) = -5*f. Let d(h) = l*y(h) + 2*m(h). Find the first derivative of d(c) wrt c.
-3
Let b(k) = k**2 - 9*k + 5. Let j be b(7). Let s = 14 + j. What is the third derivative of -4*n**4 + 3*n**2 - 5*n**2 + s*n**4 wrt n?
24*n
Let n(y) be the second derivative of -y**7/840 + y**6/360 + y**3/3 + 3*y. Let c(l) be the second derivative of n(l). What is the third derivative of c(v) wrt v?
-6
Let a(y) be the second derivative of y**8/840 - y**4/24 + y**3/3 - 2*y. Let c(z) be the second derivative of a(z). Differentiate c(u) wrt u.
8*u**3
Let o be ((-4)/5)/(3/15). Let i(s) = s**3 + 3*s**2 - 3*s + 5. Let p be i(o). What is the derivative of -2*c**3 + 0*c + 0*c + p wrt c?
-6*c**2
Let j = 17 - 14. Let v(r) be the first derivative of 3/4*r**4 + 1 + 1/3*r**j + 0*r**2 + 0*r. What is the third derivative of v(m) wrt m?
18
Let j be (2 + -1)*(-1 + 6). Suppose -13 = -0*x - x + j*v, -3*v - 21 = -5*x. What is the second derivative of 4*w + 0*w**x - 3*w + 3*w**3 + 0*w wrt w?
18*w
What is the third derivative of -d**2 - 3*d**2 + d**3 + 3*d**2 + 2*d**2 wrt d?
6
Let n(m) = 2*m**2 + 3*m + 4. Let l(p) = -3*p**2 - 5*p - 9. Let f(d) = -4*l(d) - 9*n(d). What is the second derivative of f(t) wrt t?
-12
Let y(c) be the second derivative of 0*c**5 + 2*c**2 + 0*c**4 + 0 - 1/10*c**6 + 4*c + 0*c**3. What is the derivative of y(f) wrt f?
-12*f**3
Let m(y) be the second derivative of y**4/8 - y**3/3 + 3*y**2/2 + y. Let g(a) be the first derivative of m(a). Differentiate g(j) with respect to j.
3
Find the second derivative of -9*c**3 + 6*c**5 + 9*c**3 + 7*c wrt c.
120*c**3
Let m(b) be the first derivative of -b**5/5 + 2*b**3/3 - 34*b + 51. Differentiate m(s) with respect to s.
-4*s**3 + 4*s
What is the derivative of -16*s**3 - 13 + 0 - 9 + 3 wrt s?
-48*s**2
Let s(r) = 7*r**4 + 3*r**3 + 6*r + 3. Let i(a) = -14*a**4 - 7*a**3 - 12*a - 7. Let y(c) = -3*i(c) - 7*s(c). What is the second derivative of y(d) wrt d?
-84*d**2
Suppose 3*v - c - 15 = -4*c, 0 = -4*v - 3*c + 18. What is the third derivative of 4*x**3 - x**2 + 2*x**v - 2*x**3 - x**3 wrt x?
18
Let k(j) = -23*j**5 + 5*j**2 - 16*j. Let h(t) = -231*t**5 + 49*t**2 - 161*t. Let o(x) = 5*h(x) - 49*k(x). What is the second derivative of o(m) wrt m?
-560*m**3
Let f(t) = -8*t + 4. Let w(y) = y**3 - y**2 + y + 9. Let o be w(0). Let r(u) = -4*u + 2. Let b(x) = o*r(x) - 4*f(x). Differentiate b(m) wrt m.
-4
What is the third derivative of 4*x**2 + 3*x**6 - 7*x**6 + x**6 wrt x?
-360*x**3
Let t(y) = -8*y**3 - 4*y - 4. Let o(z) = -3*z**2 - 2*z**2 - 7*z**3 - 3*z - 3 + 4*z**2. Let v(x) = -4*o(x) + 3*t(x). What is the third derivative of v(p) wrt p?
24
Let h = -13 - -22. Let f(w) = -w + 11. Let o be f(h). Find the third derivative of 3*r**6 + o*r**2 - 4*r**6 + r - r wrt r.
-120*r**3
Let x = -5 + 5. Suppose x = 4*g - 0*a + 4*a, -4 = -3*g + a. Differentiate -q**4 + g + 0*q**4 - 4 + 2 with respect to q.
-4*q**3
What is the third derivative of 0*l**2 - 11*l**5 - 3*l**5 - 9*l**2 wrt l?
-840*l**2
Let p be 4/6*21/14. Let u(l) = -l**5 - l**2 - 1. Let b(t) = -4*t**5 - 6. Let r(o) = p*b(o) - 6*u(o). Find the third derivative of r(d) wrt d.
120*d**2
Let y be -3 - -1 - (-8 - -3). What is the second derivative of -y*c + 0*c**5 + 3*c - 3*c + 2*c**5 wrt c?
40*c**3
Let y(h) = h**2 - 6*h - 10. Let p be y(12). Find the second derivative of 55*u**3 + u - p*u**3 - 9*u wrt u.
-42*u
Let a(g) be the second derivative of 1/10*g**6 - g + 0*g**5 + 0*g**2 - 1/3*g**4 + 0*g**3 + 0. Find the third derivative of a(h) wrt h.
72*h
Let x(w) = w**3 + 6*w**2 - 5*w - 9. Let u be x(-6). Suppose 4*s + 3*n + 2*n = -u, 2*n + 10 = 0. Differentiate 5 - 3 - s + 0*d**2 - 3*d**2 with respect to d.
-6*d
Let o(w) = -3*w - 1. Let r be o(-2). Suppose 4 + 8 = -3*j + 3*g, 3*g - 12 = 0. Find the third derivative of j*l**r + l**2 - 3*l**2 + l**5 wrt l.
60*l**2
Differentiate 11 + 21*q - 13 + 17 wrt q.
21
What is the third derivative of 35*r**4 - 5*r**2 - 35*r**4 + 4*r**5 wrt r?
240*r**2
Differentiate -20*f**2 + 8 - 12 + 16 + 8 with respect to f.
-40*f
Let g(x) be the first derivative of -x**9/756 - x**5/60 + x**3 + 1. Let d(w) be the third derivative of g(w). What is the second derivative of d(l) wrt l?
-80*l**3
Find the second derivative of 26*w**3 - 43*w**3 - w + 30*w**3 + 6*w wrt w.
78*w
Suppose 0 = -4*q - o + 22, 4*o - 7 = 1. Find the second derivative of x**5 - 3*x + 5*x**5 - 3*x**q + 2*x wrt x.
60*x**3
Let b = 1 - 2. Let l = 1 - b. Find the third derivative of 2*m**2 - 2*m**3 + m**3 + l*m**3 wrt m.
6
Let h(m) = 7*m**2 - 13*m + 2. Let t(l) = 13*l**2 - 27*l + 5. Let p(q) = -5*h(q) + 2*t(q). Find the second derivative of p(x) wrt x.
-18
Let n(h) be the first derivative of h + 0*h**3 + 0*h**2 + 0*h**4 - 3/5*h**5 + 1. Differentiate n(d) with respect to d.
-12*d**3
What is the third derivative of -13*g**2 + 35*g**2 + 0*g**5 + 13*g**5 wrt g?
780*g**2
Let q(j) = 20*j + 119. Let l(x) = 7*x + 39. Let w(s) = 8*l(s) - 3*q(s). Differentiate w(m) with respect to m.
-4
Let h(q) = 1 - 2 + 2*q**3 + 2*q + q + 2*q**3. Let o(x) = x**3 + x - 1. Let s(m) = -h(m) + 3*o(m). Differentiate s(z) with respect to z.
-3*z**2
Suppose 0 = -3*k + 18. What is the third derivative of -d**2 + 3*d**2 - k*d**2 - 2*d**3 + 3*d**2 wrt d?
-12
Let m(w) = 8*w**5 - 5*w**4 + 2*w**2 - 5*w. Let r(g) = 4*g**5 - 2*g**4 + g**2 - 2*g. Let v(z) = -2*m(z) + 5*r(z). Find the third derivative of v(h) wrt h.
240*h**2
Let s be (6/(0 - -1))/2. What is the third derivative of -m**s + m**2 + 3*m**3 - 3 + 3 wrt m?
12
Suppose -2*w - 3*w = -30. Suppose -2*v - 5*s + 26 = 0, -v + 2*s - w = -1. What is the third derivative of 3*u**3 + 2*u**v - 4*u**3 + u**2 wrt u?
6
Let u(w) be the third derivative of 3*w**7/70 + w**4/12 + 10*w**2. Find the second derivative of u(i) wrt i.
108*i**2
Let a(v) be the third derivative of 1/4*v**4 + 0*v + 0 - 1/6*v**3 + 4*v**2. What is the derivative of a(k) wrt k?
6
Let g(q) = -43*q**2 + 72*q + 9. Let m(l) = -65*l**2 + 108*l + 13. Let d(u) = -7*g(u) + 5*m(u). What is the second derivative of d(i) wrt i?
-48
Let c(h) = h**2 - h + 3. Let w(v) = -1. Let a = -4 - -5. Let t(y) = a*c(y) + 3*w(y). Find the second derivative of t(p) wrt p.
2
Let d = 130/7 - 376/21. Let f(q) be the first derivative of d*q**3 + 2 + 0*q - q**4 + 0*q**2. What is the third derivative of f(s) wrt s?
-24
Let w(y) be the third derivative of 13*y**6/120 - 7*y**4/24 - 8*y**2. What is the second derivative of w(v) wrt v?
78*v
Let i(y) = -y**2 + 7*y - 7. Let j be i(6). Let p(l) = -1. Let u(h) = -10*h**2 + 2. Let w(m) = j*u(m) + 5*p(m). Find the first derivative of w(f) wrt f.
20*f
Let y(j) be the third derivative of 0*j**7 + 0*j**6 + 0*j - 5*j**2 + 1/336*j**8 +