8
Let v(i) be the second derivative of -4*i + 1/6*i**3 + 0 + 1/10*i**5 + 0*i**2 + 0*i**4. What is the second derivative of v(a) wrt a?
12*a
Find the second derivative of 7*y**2 - 4*y - 7*y - 4*y + 7*y wrt y.
14
Let p(f) = -f**3 + 4*f**2 + f - 1. Let k be p(3). Let w = -7 + k. What is the second derivative of n + 2*n - n**w - n**4 wrt n?
-24*n**2
Let l(f) = -8*f**3 + 8*f. Let u(h) = -16*h**3 + 15*h. Let x(t) = -5*l(t) + 3*u(t). Find the second derivative of x(w) wrt w.
-48*w
Let o(v) be the first derivative of 2*v**4 + 10*v - 22. What is the first derivative of o(w) wrt w?
24*w**2
Suppose -2 = -6*a + 4*a - 2*l, 4*a - 5*l = 31. Let c(q) be the third derivative of 1/12*q**a + 0*q - 1/6*q**3 - 2*q**2 + 0. Differentiate c(n) wrt n.
2
Let o(z) be the third derivative of -z**8/6720 - z**6/360 + z**5/20 + 2*z**2. Let a(s) be the third derivative of o(s). Differentiate a(q) wrt q.
-6*q
Differentiate -22*w**4 - 33 - 748*w**3 + 748*w**3 with respect to w.
-88*w**3
Let l(c) = 32*c + 16. Let n(z) = 31*z + 16. Let r(h) = -5*l(h) + 6*n(h). Find the first derivative of r(g) wrt g.
26
Let q(r) be the third derivative of r**5/40 - r**4/8 + r**3/3 + 2*r**2. Let c(h) be the first derivative of q(h). What is the first derivative of c(k) wrt k?
3
Let o(t) be the first derivative of -6 + 4/3*t**3 - 2*t + 0*t**2. What is the first derivative of o(v) wrt v?
8*v
Let x(l) = 6*l**3 + 9*l. Let d(a) = 12*a**3 + 18*a. Let q(o) = 6*d(o) - 13*x(o). Find the second derivative of q(y) wrt y.
-36*y
Suppose -4*l + 2 = -2*c, -l - 9 = -5*c + 13. Suppose 7 = -k - c*h, 0*k + 7 = k - 2*h. Find the third derivative of q - 4*q**3 - q - 3*q**2 + 5*q**k wrt q.
6
Suppose -2*a + a = 0. Suppose -2*c + c - 5*y = 15, -2*c - 3*y - 9 = a. Differentiate 1 - 1 + x**4 + 2 + c*x**4 with respect to x.
4*x**3
Let o(j) be the first derivative of -3*j**4/4 + j**2/2 + 1. What is the second derivative of o(f) wrt f?
-18*f
Let i(c) = -37*c**2 + 56. Let y(o) = -12*o**2 + 19. Let z(v) = 6*i(v) - 17*y(v). What is the first derivative of z(m) wrt m?
-36*m
Let f = -1 + 4. Let a = f + -1. Find the third derivative of j + 0*j - j + a*j**2 - 3*j**5 wrt j.
-180*j**2
What is the second derivative of 6933*m**4 - 3*m**5 - 23*m - 6933*m**4 - 2 wrt m?
-60*m**3
Suppose -8 = -2*d + 6*d. Let h(l) = -l**4 + 4*l**2. Let s(b) = 0*b**2 - b**2 + 2*b**2. Let i(n) = d*h(n) + 7*s(n). What is the third derivative of i(g) wrt g?
48*g
Suppose -q - 4*u = -6*q - 11, -4*u + 16 = 0. Find the first derivative of -j - 6 + 5 - q wrt j.
-1
Let u be (-10)/(-9)*(-33)/(-44). Let n(l) be the third derivative of 0*l**4 + 0 + 0*l + 1/30*l**5 - u*l**3 + l**2. Differentiate n(p) wrt p.
4*p
Let v(y) = -y**3 + y**2 + y + 4. Let f be v(0). What is the derivative of f*q - 2 - 6*q + 4 - 3 wrt q?
-2
Let i(m) = 5*m**2 + 5*m + 2 + 4 - 5*m - 2*m**3. Let x(t) = -6*t**3 + 15*t**2 + 17. Let f(v) = 17*i(v) - 6*x(v). What is the third derivative of f(a) wrt a?
12
Suppose -p + 85 = 4*p. Let j = -10 + p. Find the third derivative of j*g**6 + 4*g**2 - 3*g**2 - 8*g**6 wrt g.
-120*g**3
Let f(z) be the second derivative of 0*z**6 + 0*z**5 + 0*z**3 + 2*z + 1/14*z**7 + 0*z**2 + 0 + 1/6*z**4. What is the third derivative of f(w) wrt w?
180*w**2
Let m(d) be the second derivative of 1/3*d**3 - d + 1/30*d**6 + 0*d**5 + 0*d**2 + 0*d**4 + 0. Find the second derivative of m(j) wrt j.
12*j**2
Let r(g) be the third derivative of 5*g**2 + 2/105*g**7 + 0*g**5 + 0*g + 1/4*g**4 + 0 + 0*g**6 + 0*g**3. What is the second derivative of r(d) wrt d?
48*d**2
Find the third derivative of 7*j**2 + 21*j**5 - 21*j**5 + 6*j**6 wrt j.
720*j**3
Let t(m) be the second derivative of 0*m**4 + 0 + 0*m**5 + m**2 + 1/30*m**6 - 2*m + 0*m**3. Differentiate t(r) with respect to r.
4*r**3
Let m(v) be the third derivative of -2*v**7/105 - v**4/24 + 43*v**2. What is the second derivative of m(b) wrt b?
-48*b**2
Let g(l) = -3*l**3 + 2*l + 4. Let n(s) = -11*s**3 - 9*s**2 + 11*s - 5*s**3 + 9*s**2 + 21. Let q(w) = 11*g(w) - 2*n(w). What is the derivative of q(k) wrt k?
-3*k**2
Let d(s) = -1. Let f(p) = 2 - 5 + 2 + p**4 - 3*p**4. Let k(l) = -4*d(l) + f(l). Find the first derivative of k(c) wrt c.
-8*c**3
Let k(t) = 24*t**2 - 2*t + 33. Let v(n) = 47*n**2 - 5*n + 66. Let s(i) = 5*k(i) - 2*v(i). What is the first derivative of s(z) wrt z?
52*z
Let p(k) = k**4 - k**2 + k. Let w(j) = -2*j**6 - 9*j**5 - 4*j**4 + 38*j**2 - 4*j. Let f(g) = 4*p(g) + w(g). Find the third derivative of f(y) wrt y.
-240*y**3 - 540*y**2
Let c(g) be the third derivative of 3*g**2 + 0*g**4 + 0*g**5 + 0*g + 0 + 1/30*g**6 + 1/2*g**3. Differentiate c(t) wrt t.
12*t**2
Let m = 24/5 - 283/60. Let o(d) be the third derivative of 0*d**5 + d**2 + 0*d + 1/60*d**6 + 0 + m*d**4 + 0*d**3. Find the second derivative of o(y) wrt y.
12*y
Let w = 11 - 8. Find the second derivative of 5*c**3 - 4*c - 5*c**w + c - 3*c**3 wrt c.
-18*c
Let a(m) be the first derivative of -13*m**4/2 - 26*m**3/3 - 12. Find the third derivative of a(s) wrt s.
-156
What is the second derivative of -34*a - a**5 + 29*a - a**5 wrt a?
-40*a**3
Let n(o) = o**3 - 7*o**2 + 7*o - 1. Let b be n(6). What is the second derivative of -14*s**b + 7*s**5 - 3*s + 4*s + 2*s wrt s?
-140*s**3
Suppose -o - 4 = -3*o. What is the third derivative of 8*v**4 - 2*v**2 + v**o - 3*v**4 wrt v?
120*v
Let g(j) = j + 1. Let w(z) = z - 3. Let a be w(6). Let i(n) = -3*n**3 - n - 4*n - 6 + a. Let b(s) = 3*g(s) + i(s). What is the second derivative of b(t) wrt t?
-18*t
Let x(c) = -c**3 - 4*c**2 + 5*c + 4. Let f(u) = u**2 - 6*u - 5. Let y be f(6). Let d be x(y). What is the second derivative of 2*v + 0*v + 2*v**2 - d*v wrt v?
4
Let n = 7 - 2. Let z(s) = -s**2 + 4*s + 7. Let u be z(5). Find the third derivative of -a**n - a**2 - a**u + 3*a**2 wrt a.
-60*a**2
Let n(x) = 32*x**4 + 5*x**3 - 5*x**2 - 3. Let k(u) = 16*u**4 + 3*u**3 - 3*u**2 - 2. Let p(m) = -5*k(m) + 3*n(m). Differentiate p(o) with respect to o.
64*o**3
What is the third derivative of -9*m**6 + 14 + 11 + 35*m**2 - 25 wrt m?
-1080*m**3
Let u be 1/((2*-1)/(-6)). Suppose 2*p = u*p - 3. Let y(b) = -5*b - 1. Let h(l) = -l. Let i(g) = p*y(g) - 12*h(g). Differentiate i(d) with respect to d.
-3
Let p(a) = 20*a**3 + 16*a - 3. Let b(n) = -20*n**3 - 15*n + 2. Let h(o) = 3*b(o) + 2*p(o). Find the second derivative of h(w) wrt w.
-120*w
Let t(x) be the second derivative of 1/20*x**5 + 1/6*x**3 - 3*x + 0*x**2 + 0*x**4 + 0. Find the second derivative of t(a) wrt a.
6*a
Let v = -14 + 16. What is the third derivative of 9*i**2 - 7*i**5 - 2*i**v - 7*i**2 - i**2 wrt i?
-420*i**2
Differentiate 9*m + m + 12 + 0*m with respect to m.
10
Let k(o) be the third derivative of -o**8/112 + o**5/15 - 7*o**2. What is the third derivative of k(r) wrt r?
-180*r**2
Let h(v) be the first derivative of -v**5/5 + v**3/3 + v**2 + 45. What is the second derivative of h(u) wrt u?
-12*u**2 + 2
Differentiate -3295*g**2 + 3 - 12*g**3 + 3295*g**2 wrt g.
-36*g**2
Let p(t) be the third derivative of -1/24*t**4 + 3*t**2 + 0*t**5 + 0*t + 0 + 0*t**3 + 1/120*t**6. What is the second derivative of p(d) wrt d?
6*d
Let j be (-13)/(-4) + 1/(-4). What is the third derivative of -o**2 + o**j - o**2 + 3*o**2 wrt o?
6
Suppose 3*w + 3 = -4*q, -4*w + 5*q = -0*q - 27. Find the second derivative of c**w - c**3 + 2*c + c**3 + 3*c wrt c.
6*c
Let t(w) = -w - 3. Let g = -9 - -2. Let j = g + 10. Let x(o) = o + 3. Let l(v) = j*x(v) + 4*t(v). Differentiate l(c) wrt c.
-1
Let a(w) = -w**3 - w**2 - w**2 - 3*w**2 + 3. Let h be a(-5). What is the first derivative of -d**h + 4*d**2 - 4*d**2 - 2*d**3 + 2 wrt d?
-9*d**2
Let q(y) be the third derivative of y**2 + 0 + 1/120*y**6 + 0*y**5 + 0*y**3 + 0*y - 1/4*y**4. What is the second derivative of q(k) wrt k?
6*k
Let t = 20 - 17. Find the second derivative of 7*u**4 + t*u - 5*u + 5*u**5 - 7*u**4 wrt u.
100*u**3
Let u be (6/40)/(54/12). Let p(o) be the second derivative of 2*o + 0*o**2 + 0*o**5 + 1/3*o**3 - u*o**6 + 0*o**4 + 0. Find the second derivative of p(y) wrt y.
-12*y**2
Let t(v) = -v**3 + 2*v**2 - 2*v + 1. Let x be t(1). Suppose 5*p + 11 = 4*m, x*p - 9 = -3*m + 3*p. Differentiate 2 - 4 + s + m with respect to s.
1
Let b(u) be the second derivative of -u**9/1890 - u**6/90 - u**4/3 + 7*u. Let s(v) be the third derivative of b(v). What is the second derivative of s(o) wrt o?
-96*