
Let r = -4 - -6. Suppose 0 = 5*v - r*v - 6. Find the third derivative of -v*y**5 - 4*y**2 + 4*y**5 + 2*y**2 wrt y.
120*y**2
Let p(v) be the first derivative of -v**6/2 - 4*v**2 - 9. What is the second derivative of p(s) wrt s?
-60*s**3
Suppose 3*u - 2*u - 4 = 0. What is the second derivative of u*j + 10 + 2 - 12 + j**2 wrt j?
2
Suppose -3*b + 2*q + 4 = 0, 0 - 6 = -2*b + 3*q. What is the derivative of -3*u + b + 0 + 7 - 3 wrt u?
-3
Let c(b) = -23*b**4 - b**2 - b - 27. Let z(o) = o**4 - o**3 - o**2 - o + 1. Let u(g) = c(g) - z(g). Differentiate u(n) with respect to n.
-96*n**3 + 3*n**2
Let u = -23 - -30. Find the second derivative of u*t - 25*t**3 - t**5 + 25*t**3 wrt t.
-20*t**3
Let a(q) be the second derivative of -3*q**6/10 + 2*q**2 - 5*q. Differentiate a(g) wrt g.
-36*g**3
Suppose -2*d + 5*d = 6. Suppose 3*a = -d*r - r, 3*a + 4*r + 2 = 0. Find the second derivative of 5*c**2 + 2*c**4 - 5*c**2 + a*c wrt c.
24*c**2
Let o(f) = f**2 - 4. Let u(k) = -k**2 + 3. Let t(a) = -2*o(a) - 3*u(a). Differentiate t(q) with respect to q.
2*q
Let v(g) be the second derivative of g**7/42 + g**5/20 - 3*g**4/4 - g**2 - 6*g + 2. Find the third derivative of v(k) wrt k.
60*k**2 + 6
Let y be (1 + 1)/(1/9). What is the third derivative of -23*s**2 + 6*s**4 + y*s**2 + 3*s**4 wrt s?
216*s
Let g(w) be the first derivative of 3*w**5/5 + 2*w**3 + 34*w - 29. What is the first derivative of g(d) wrt d?
12*d**3 + 12*d
Suppose 9*b = 2 + 43. Let z(a) be the first derivative of 0*a**b + 1/3*a**3 + 2 + 0*a + 0*a**2 + 0*a**4 - 1/2*a**6. Find the third derivative of z(m) wrt m.
-180*m**2
Find the first derivative of -3*x**2 - 2 + 0 + 4*x**2 + 5 wrt x.
2*x
Let i(a) = -11*a**5 - 6*a**4 + 7*a**2 + 6. Let m(t) = 33*t**5 + 17*t**4 - 22*t**2 - 17. Let c(r) = -17*i(r) - 6*m(r). Find the third derivative of c(y) wrt y.
-660*y**2
Let q(p) be the third derivative of -p**2 + 0*p + 2/15*p**5 - 1/4*p**4 + 0 + 0*p**3. What is the second derivative of q(l) wrt l?
16
Let c(u) be the first derivative of u**10/2520 - u**6/180 - u**3 + 3. Let g(y) be the third derivative of c(y). Find the third derivative of g(v) wrt v.
240*v**3
Suppose -17 = -3*c - 8. Find the second derivative of 3*v**3 - 2*v**c - v**5 - 2*v - v**3 wrt v.
-20*v**3
Let k(u) = 3*u**5 - 17*u**4 - 9*u + 17. Let d(i) = -i**5 + 6*i**4 + 3*i - 6. Let s(r) = 17*d(r) + 6*k(r). What is the second derivative of s(x) wrt x?
20*x**3
Let z(x) = 7*x - 2. Let r be z(1). Find the third derivative of w**4 + w**4 + r*w**2 + 4*w**4 + 4*w**2 wrt w.
144*w
Let q(s) be the third derivative of 2*s**2 - 1/6*s**4 + 1/3*s**3 + 0*s + 0. Differentiate q(m) wrt m.
-4
Suppose -2*x - r = -16, 0 = -2*x - 0*x - 3*r + 24. Let y be x/(-4)*(-22)/11. Find the second derivative of -9*n**2 + 0*n**2 + y*n + 6*n**2 wrt n.
-6
Suppose 35 = 5*y + p - 4*p, 2*y + 7 = -3*p. Suppose -4*v - 2*h = 2, 4*h + 28 = 2*v + y. Find the second derivative of -2*i**v + 3*i**2 + i**2 - i wrt i.
4
Let z(w) = 3*w**2 - 2. Let o(l) = -l**2 - 1. Let a(g) = -6*o(g) - z(g). What is the first derivative of a(n) wrt n?
6*n
Let g(r) be the first derivative of -10*r**6/3 - 40*r**3/3 - 29. Find the third derivative of g(b) wrt b.
-1200*b**2
Suppose 1 = -o - 2*c + 4, 0 = 4*o - 5*c - 38. Let k = -5 + o. Differentiate 3 + 4*f**k + 3*f**4 - 4*f**2 wrt f.
12*f**3
Let c(o) = o**2 - o - 1. Let k(q) = -2*q**2 + 13*q + 3. Let g(i) = -3*c(i) - k(i). What is the second derivative of g(w) wrt w?
-2
Differentiate -14*i**3 - 39 - 2*i**3 + 43 wrt i.
-48*i**2
What is the second derivative of -135*n - 146*n + 23*n**3 + 326*n wrt n?
138*n
Let z = 7 + -6. Let a = 10 + -6. What is the first derivative of -2*q**4 + z - q**4 + 2*q**a wrt q?
-4*q**3
What is the second derivative of -89 - 8*q + 89 - 31*q**2 - 18*q wrt q?
-62
Let y(x) = x - 3. Let g be y(6). Let o = g - -1. What is the third derivative of l**6 - o*l**6 + 5*l**6 - l**2 wrt l?
240*l**3
Let b(a) be the third derivative of a**7/30 - 7*a**5/60 - 7*a**2. What is the third derivative of b(q) wrt q?
168*q
Let d(n) be the first derivative of 18*n**7/7 + 5*n**3/3 + 4. Find the third derivative of d(t) wrt t.
2160*t**3
Let a(q) = -q**3. Let r(h) be the third derivative of -h**6/15 - 3*h**4/8 - 8*h**2. Let p(z) = -2*a(z) + r(z). What is the second derivative of p(o) wrt o?
-36*o
Let c(d) = -d - 13. Let r be c(-17). Let j(y) be the second derivative of 3*y + 1/2*y**2 + 0 + 1/4*y**r + 0*y**3. Differentiate j(v) with respect to v.
6*v
Differentiate r**4 - 10 - 12*r**4 + 2 + 3*r**4 with respect to r.
-32*r**3
Let q(h) be the second derivative of 1/4*h**4 - 2*h + 0*h**3 + 3/2*h**2 + 0. Find the first derivative of q(b) wrt b.
6*b
Let c(k) be the second derivative of -43*k**7/42 + 7*k**3/3 + k**2 + 3*k - 12. Find the second derivative of c(p) wrt p.
-860*p**3
Let s(q) be the second derivative of 0*q**2 + 0 + 1/12*q**4 + 3*q + 1/20*q**5 + 0*q**3. What is the third derivative of s(b) wrt b?
6
Let b be ((-42)/(-10) + -4)/((-2)/(-5)). Let m(s) be the second derivative of 0 + b*s**2 - 2/3*s**3 - 4*s. What is the derivative of m(g) wrt g?
-4
What is the third derivative of 7*b + 13*b**4 + 14*b**2 - 2*b - 5*b wrt b?
312*b
Let k(l) = 25*l**2 - 30*l - 8. Let i(m) = -49*m**2 + 59*m + 14. Let j(z) = 4*i(z) + 7*k(z). Find the second derivative of j(s) wrt s.
-42
Let v be (3/(-6))/(2/(-8)). Let p(c) be the third derivative of 0 + 1/20*c**5 - 3*c**v - 1/12*c**4 + 0*c + 0*c**3. What is the second derivative of p(q) wrt q?
6
Let f(k) = -8*k**3 - 8*k. Let h(c) = 104*c**3 + 104*c. Let y(n) = 40*f(n) + 3*h(n). Find the second derivative of y(u) wrt u.
-48*u
Let v(w) = 11*w**4 - 5*w**3 - 11*w - 5. Let o(j) = -72*j**4 + 32*j**3 + 72*j + 32. Let t(r) = 5*o(r) + 32*v(r). Find the second derivative of t(x) wrt x.
-96*x**2
Find the second derivative of -84 - 16*x**2 + 16*x + 84 wrt x.
-32
Let p(q) = q + 2. Let b be p(7). Let r = 11 - b. What is the third derivative of -7*j**r - j**3 - 7*j**2 + 15*j**2 + 0*j**3 wrt j?
-6
Let h(l) be the third derivative of 13*l**4/24 - 8*l**3/3 - 3*l**2. Differentiate h(x) wrt x.
13
Let p(s) be the second derivative of s**8/56 - s**4/4 + 4*s. What is the third derivative of p(h) wrt h?
120*h**3
Suppose -2*v = v - 3. Let d(j) be the first derivative of 0*j**4 + 0*j + 2/3*j**3 + 0*j**2 + 3/5*j**5 - v. What is the third derivative of d(s) wrt s?
72*s
Let i(g) be the third derivative of 2*g**5/5 + 11*g**4/12 - 11*g**2. What is the second derivative of i(j) wrt j?
48
Let o(x) be the first derivative of x**9/168 + x**5/60 - x**2/2 + 2. Let i(j) be the second derivative of o(j). Find the third derivative of i(c) wrt c.
360*c**3
Let a(m) be the second derivative of -m - 1/2*m**2 + 0 + 7/6*m**3. Find the first derivative of a(y) wrt y.
7
What is the third derivative of 1 + 13*v**3 - 2*v**2 - 4*v**3 - 1 wrt v?
54
Let a = 15 + -14. Find the third derivative of -a - 2*j**5 + 3*j**2 + 1 wrt j.
-120*j**2
Let o(g) be the first derivative of g**6/180 + 5*g**4/24 + g**3/3 + 5. Let k(m) be the third derivative of o(m). What is the derivative of k(s) wrt s?
4*s
Let y be (-3)/(-3 - -1 - 1). Let f(x) be the first derivative of 0*x**4 - y - 1/2*x**2 + 0*x - 2/5*x**5 + 0*x**3. What is the second derivative of f(h) wrt h?
-24*h**2
Let v = 0 - 0. Find the second derivative of 2*l + 0*l + v*l + l**3 - 2*l**3 wrt l.
-6*l
Let s(r) = r**5 - 7*r**2 + 2. Let h(k) = -k**5 - k**2 + 1. Let t = 3 - 1. Let m(y) = t*h(y) - s(y). What is the third derivative of m(i) wrt i?
-180*i**2
What is the third derivative of 3*q**2 + 4*q**3 + 8*q**3 - 10*q**2 - 6*q**2 wrt q?
72
What is the second derivative of 4028*u**2 - 4028*u**2 - 6*u**3 + 36*u wrt u?
-36*u
Let w = -8 + 13. Let b(g) = g**3 - 5*g**2 + 2*g - 7. Let d be b(5). Find the third derivative of -2*k**d - 5*k - 2*k**2 + w*k wrt k.
-12
Let o = 9 + -3. Find the third derivative of 4*s**2 - o*s**2 - s**2 + 4*s**2 + s**3 wrt s.
6
Let h(l) = l**2 + l + 1. Let g(k) = k**2 - 7*k - 2. Let r(i) = g(i) + 2*h(i). What is the second derivative of r(a) wrt a?
6
Suppose -4*n - 15 = -9*n. Find the second derivative of -n*i**5 + 0*i**5 + 2*i + i wrt i.
-60*i**3
Let l = -6 + 9. Find the second derivative of -r + 6 - 9 + 4*r**4 + l wrt r.
48*r**2
Let h be 2 + -1 + 1/1. What is the second derivative of -s**4 + 0*s + h*s - 3*s wrt s?
-12*s**2
Let y(c) be the first derivati