 36
Suppose -v + 9*v = -0*v. Let h(r) be the third derivative of -2*r**2 + 0 + 1/24*r**4 + v*r - 1/6*r**3. What is the derivative of h(u) wrt u?
1
Let r(z) be the first derivative of 0*z**3 + 6*z - 5/2*z**4 + 0*z**2 + 5. Differentiate r(i) wrt i.
-30*i**2
Let f(r) be the second derivative of -5*r + 0 + 3/20*r**5 + 1/4*r**4 + 0*r**2 + 0*r**3. What is the third derivative of f(c) wrt c?
18
Let z(a) be the third derivative of a**6/20 - a**4/4 - a**2. Find the second derivative of z(f) wrt f.
36*f
Let c(y) be the second derivative of 7*y**6/5 - 10*y**4/3 + 45*y. What is the third derivative of c(d) wrt d?
1008*d
Suppose 0 = y - 4*y + 5*j + 17, -y - 4*j = 0. Suppose 4*q = -3*o + 5, y*o + o + 5 = 0. Find the first derivative of 1 - q + b - 2 wrt b.
1
Let a(t) be the third derivative of -7*t**6/120 + 5*t**4/24 + 2*t**2. What is the second derivative of a(m) wrt m?
-42*m
Let z(y) be the second derivative of y**8/840 + y**5/20 - y**3/2 + 5*y. Let p(n) be the second derivative of z(n). What is the second derivative of p(m) wrt m?
24*m**2
Suppose -5*l = -4*w - 3*l + 8, -4*l + 24 = 2*w. Find the third derivative of -51*t**3 + t**2 + 51*t**3 - 2*t**w wrt t.
-48*t
What is the second derivative of 0*d**4 - 3*d**4 - 10*d - 5*d**4 wrt d?
-96*d**2
Let j(y) = y. Let d(a) = -2*a**2 + 2*a + 18. Let h(g) = d(g) - 5*j(g). Find the first derivative of h(t) wrt t.
-4*t - 3
Let n be 6/9 - 7/(-3). Find the first derivative of n*d**2 + 5*d**2 - 9*d**2 - 2 wrt d.
-2*d
Let o(u) = 2*u**4 + 8. Let f(s) = 0 + 4 - 5. Let r be 3/(-5) - 16/(-10). Let a(g) = r*o(g) + 5*f(g). Find the first derivative of a(d) wrt d.
8*d**3
Suppose -19 + 4 = 2*z + 5*j, -5*z + 5*j + 50 = 0. Find the third derivative of 3*q**2 - 4*q**2 + 2*q**5 - 7*q**z wrt q.
-300*q**2
Let n be ((-5)/(-10))/((-1)/4). Let g = n + 4. What is the second derivative of -3*q - q + q + 0*q + q**g wrt q?
2
Let f(l) = 4*l + 2. Let c be f(-2). Let w be c/((-1 - 0)*2). What is the third derivative of w*s**2 - 2*s**3 + s**2 - 6*s**2 wrt s?
-12
Let t(o) = -5*o - 9. Let x(u) = 2*u + 5. Let b(v) = 3*t(v) + 7*x(v). Differentiate b(h) with respect to h.
-1
Let a(x) be the third derivative of 19*x**8/336 + 7*x**4/12 + 6*x**2. What is the second derivative of a(o) wrt o?
380*o**3
Let u(j) be the first derivative of 0*j + 2/5*j**5 - 1/2*j**2 + 4 + 0*j**3 + 0*j**4. Find the second derivative of u(x) wrt x.
24*x**2
Let x(w) be the first derivative of -8*w**3 + 15*w + 33. Differentiate x(z) with respect to z.
-48*z
Let j = 3 + -2. Let q = -3 + 6. Differentiate 0*x**q + x**3 - j - 1 with respect to x.
3*x**2
Suppose -u - 3*q = 8 + 1, -3*q - 27 = -5*u. What is the second derivative of -5*p**3 + 2*p**u + p**3 - 4*p wrt p?
-12*p
Let n(l) be the second derivative of 0*l**5 - 1/3*l**4 + 0*l**2 + 6*l + 1/6*l**6 + 0 + 0*l**3. Find the third derivative of n(y) wrt y.
120*y
Let n = -13 + 7. Let j = n - -8. What is the third derivative of z**2 + z**5 - 4*z**5 + z**j wrt z?
-180*z**2
Let v(b) = -5*b + 1. Let i be v(-1). What is the first derivative of 5*y - 2 - i*y + y + 3*y wrt y?
3
Let x(r) = -r**3 + 5*r**2 - 4*r + 4. Let f be x(4). What is the second derivative of y**2 - 2*y - 3*y**f - 5*y**2 + 4*y**2 wrt y?
-36*y**2
Let o = -28/15 - -71/30. Let g(h) be the first derivative of -3 + 0*h + 0*h**3 - 2*h**2 - o*h**4. Find the second derivative of g(f) wrt f.
-12*f
Let n(m) be the second derivative of 3*m**6/10 - m**3/2 + 11*m. What is the second derivative of n(x) wrt x?
108*x**2
Let s(p) be the first derivative of p**6/90 - 5*p**4/24 + 4*p**3/3 - 5. Let h(z) be the third derivative of s(z). Differentiate h(y) wrt y.
8*y
Let w(p) = p**4 + p**3 + p**2 + p - 1. Let j(o) = -15*o**4 + 2*o**3 + 3*o**2 + 2*o - 2. Let b(u) = -j(u) + 2*w(u). What is the third derivative of b(n) wrt n?
408*n
Let b = 105 + -105. Let w(c) be the second derivative of 0*c**3 + 1/30*c**6 - 2*c + 3/2*c**2 + b + 0*c**4 + 0*c**5. What is the first derivative of w(t) wrt t?
4*t**3
Let y(f) be the first derivative of -4*f**5/5 + f**3 - 35*f**2/2 + 45. Find the second derivative of y(g) wrt g.
-48*g**2 + 6
Let f be ((-4)/6)/(2/(-6)). Let p = 4 + -3. Differentiate p + 4*h**f - 4*h**2 - h**3 with respect to h.
-3*h**2
Let f(x) = x. Let k(d) = 17*d - 15. Let w(j) = 2*f(j) - k(j). What is the derivative of w(m) wrt m?
-15
Let l(x) = x**2 - 3*x - 4. Let z be l(5). Find the second derivative of 4*s**4 + 5*s - s**4 - z*s wrt s.
36*s**2
Find the second derivative of 11*w + 14*w**2 - 17*w**5 + w - 14*w**2 wrt w.
-340*w**3
Let p(k) = -k**3 - 10*k**2 - k - 7. Let w be p(-10). Find the second derivative of -6*n + 8*n + 5*n**w + 0*n + n wrt n.
30*n
Suppose 0*q - 2 = q. Let n be (6/1)/(q/(-2)). What is the third derivative of i**4 + 3*i**4 + 2*i**2 - n*i**4 wrt i?
-48*i
Suppose -60 = -5*p + 5. Suppose -2*x - 4*s = 2, -3*x - 2 = -s - p. What is the third derivative of 4*c**2 + 3*c**3 - 4*c**x + 3*c - 3*c wrt c?
-6
Let u(s) = -49*s - 98. Let r(g) = 24*g + 49. Let v(b) = -13*r(b) - 6*u(b). What is the derivative of v(c) wrt c?
-18
Suppose 6 = -4*u + 6. Let h(y) be the first derivative of -y - 2 - 1/5*y**5 + 0*y**2 + 0*y**3 + u*y**4. Differentiate h(v) with respect to v.
-4*v**3
Let g(x) be the second derivative of -x**5/20 + 27*x**2/2 - 19*x. What is the derivative of g(a) wrt a?
-3*a**2
Let m(w) be the second derivative of -w**7/840 + w**6/120 - w**3/3 + w. Let p(x) be the second derivative of m(x). Find the third derivative of p(o) wrt o.
-6
Find the third derivative of 8*g**4 - 45*g**4 - 12*g**2 + g**4 wrt g.
-864*g
Let p(z) = z**6 - z**4 - z**2 - z - 1. Let u(s) = -5*s**6 + 2*s**4 - 2*s**2 + 2*s + 2. Let n(b) = 2*p(b) + u(b). What is the third derivative of n(j) wrt j?
-360*j**3
What is the derivative of 47 - 1708*r**2 - r + 1727*r**2 + 2*r**4 + r wrt r?
8*r**3 + 38*r
Let t(p) be the first derivative of -9*p**2 + 14*p - 2. Differentiate t(c) wrt c.
-18
Suppose d = 5*u + 30, -5*d = -0*u - 4*u - 45. Find the second derivative of -2*j + 4*j**2 - 5*j**2 + d*j**2 - j wrt j.
8
Let t be 1 - ((0 - 2) + 3). Suppose 3*k - 2*k - 2 = t. What is the second derivative of -6*r - k*r**5 + 4*r**5 + 5*r wrt r?
40*r**3
Differentiate -13 - 5 + 5*b**4 + 11 wrt b.
20*b**3
Let u(n) be the second derivative of n**6/45 + n**5/60 - 7*n**3/6 - 9*n. Let a(p) be the second derivative of u(p). What is the second derivative of a(k) wrt k?
16
Let y(b) = 167*b**2 - 8*b - 34. Let m(q) = 111*q**2 - 5*q - 23. Let h(j) = 8*m(j) - 5*y(j). Differentiate h(w) wrt w.
106*w
Let x(p) = -6*p - 28. Let f(j) = 11*j + 56. Let d(o) = -4*f(o) - 9*x(o). Differentiate d(h) with respect to h.
10
Let i be (-65)/(-15) + (-1)/3. Let b(u) = -i*u - u + 6*u. Let g(r) = 8*r + 2. Let l(m) = 5*b(m) - g(m). What is the derivative of l(z) wrt z?
-3
Let t(l) = l**2 - 4. Let w be t(3). Find the first derivative of 3*p**3 + 3 + 3*p**3 - w*p**3 wrt p.
3*p**2
Let u(p) = 22*p**2 - 19*p + 5. Let w(z) = z**2 + 1. Let l(m) = u(m) - 5*w(m). What is the second derivative of l(b) wrt b?
34
Suppose 3*i + 1 = -o, -7*o + 35 = -2*o - 5*i. What is the second derivative of -d**4 + d**4 - 2*d**o + 5*d**5 + 3*d wrt d?
60*d**3
Let j be (-243)/(-18) - (-1)/2. What is the second derivative of -9*u + j*u - 8*u + 4*u**3 wrt u?
24*u
Let a(g) be the first derivative of 0*g**2 - g + 0*g**3 - 8 - 5/4*g**4. Find the first derivative of a(q) wrt q.
-15*q**2
Suppose 0*c = 3*c - 9. What is the first derivative of -4*j**2 - c + 0 - 2 + 1 wrt j?
-8*j
Let z(t) be the second derivative of -13*t**7/42 + 7*t**3/6 + 2*t. What is the second derivative of z(b) wrt b?
-260*b**3
Let g(k) = 12*k**3 + 6*k. Let o(s) = -s**3 + s. Let u be 6/(-2 - 1) + 3. Let v(b) = u*g(b) + 3*o(b). What is the second derivative of v(w) wrt w?
54*w
Find the second derivative of 11*p - 5*p**2 + 16*p + 29*p**2 wrt p.
48
Let h(k) be the second derivative of k**9/15120 + k**7/2520 + k**4/12 - 3*k. Let i(d) be the third derivative of h(d). Find the third derivative of i(z) wrt z.
24*z
Suppose -6*m + m = -10. Let y(q) = q**2 + 1. Let v be y(m). What is the third derivative of 3*d**5 + 0*d**2 - 2*d**2 - 2*d**v wrt d?
60*d**2
Let g(h) be the first derivative of 12*h**5/5 - 3*h**2/2 + 16. Find the second derivative of g(o) wrt o.
144*o**2
Let i(p) be the second derivative of 1/10*p**5 + 0*p**4 + 0 - 1/2*p**2 - 4*p + 0*p**3. Differ