o) with respect to o.
2
Differentiate 17 - 25 + 8*r - 2*r with respect to r.
6
What is the second derivative of -207*u**4 - 20 + 162*u**4 + 2*u - 3*u wrt u?
-540*u**2
Let q(a) be the second derivative of 3*a**8/14 - a**4/4 - 7*a. Find the third derivative of q(f) wrt f.
1440*f**3
Suppose l - 1 = -4, 27 = 3*v - 4*l. Suppose -v*c = 13 - 43. Find the third derivative of g**2 + 2*g**6 + 0*g**6 - 3*g**c wrt g.
-120*g**3
Let v = 1 + 1. Let w(m) = -m - 2. Let q be w(-2). What is the third derivative of -3*r**v + 2*r**2 - 2*r**5 + q*r**5 wrt r?
-120*r**2
Let i(a) be the first derivative of 5*a**6/3 + 28*a**3/3 - 26. What is the third derivative of i(w) wrt w?
600*w**2
Let k(b) be the second derivative of 3/2*b**2 + 0*b**3 + 0*b**4 - 3*b + 1/20*b**5 + 0. Find the first derivative of k(w) wrt w.
3*w**2
Let r = -7 + 7. Suppose 0 = -r*k - k + 6. What is the third derivative of 35*l**6 + 0*l**2 - 4*l**2 - 38*l**k wrt l?
-360*l**3
Let q = -6 - -3. Let y(u) = -1. Let w(x) = -2. Let z(c) = 4*w(c) - 5*y(c). Let p(i) = i - 4. Let g(j) = q*z(j) + 2*p(j). What is the derivative of g(v) wrt v?
2
Let k = 2 + -2. Let b(d) be the second derivative of -2*d + k - 1/12*d**4 + 1/2*d**2 + 0*d**3. What is the derivative of b(w) wrt w?
-2*w
Differentiate -3*c**4 + 5 + 3 + c**4 wrt c.
-8*c**3
Let j(k) = 2*k**2 + 52*k - 27. Let o(c) = 2*c**2 + 51*c - 27. Let f(q) = -4*j(q) + 3*o(q). Differentiate f(s) with respect to s.
-4*s - 55
Suppose 6 = r + 4. Suppose 0 = 5*m + 2*j - 19, -4*j + 0 = -r*m - 2. What is the second derivative of q - 2*q - 2*q + m*q**3 wrt q?
18*q
Let l = -4 - -8. Suppose 4 = -4*g - u + 14, 2*g = u + 2. Find the third derivative of -k**2 - 2*k**g - k**3 + l*k**3 wrt k.
18
Let a(o) = -2*o**3 - 12*o**2 + 12*o - 14. Let t(c) = -4*c - 1 + 6*c - c - c**2. Let d(u) = -a(u) + 12*t(u). Find the first derivative of d(j) wrt j.
6*j**2
Let f(q) be the first derivative of q**2/2 + 11*q - 3. Let w be f(-8). What is the third derivative of -x**3 + 3*x**w + x**2 + 3*x**3 - 6*x**3 wrt x?
-6
Let w(b) be the first derivative of 4*b**3/3 + 23*b**2/2 - 11. What is the second derivative of w(s) wrt s?
8
Let i(c) = c**2 + 2. Let k(d) = d - 5. Let a be k(0). Let r(w) = -3*w**2 - w - 5. Let v(z) = a*i(z) - 2*r(z). Find the second derivative of v(h) wrt h.
2
Let s(g) be the third derivative of g**9/1008 + g**6/360 - g**3/2 - 4*g**2. Let c(u) be the first derivative of s(u). Find the third derivative of c(n) wrt n.
180*n**2
Let h(s) = 29*s**3 - 13*s**2 + 13*s - 21. Let t(m) = -14*m**3 + 6*m**2 - 6*m + 11. Let j(y) = -6*h(y) - 13*t(y). Differentiate j(o) wrt o.
24*o**2
Let r(u) = 14*u**3 - 2*u**2 - 5*u + 5. Let i(j) = -j**3 - j**2 + j - 1. Let a(t) = -5*i(t) - r(t). Find the third derivative of a(q) wrt q.
-54
Let n(d) = -4*d**3 - d**2. Let b be n(-1). What is the first derivative of -7*g - 4 + 2*g - 3 - b*g wrt g?
-8
Suppose 10 = 5*v + 2*u, 4*u = -4*v - 3 + 11. What is the first derivative of -9*p**4 + 15 - 11 - v*p**4 wrt p?
-44*p**3
Let m(b) be the third derivative of b**9/84 + b**5/15 - 7*b**2. Find the third derivative of m(p) wrt p.
720*p**3
Suppose 5*a + 0*a - 25 = 0. Let t(b) = 3*b - 7. Let r(y) = -3*y + 8. Let q(d) = a*t(d) + 4*r(d). Find the first derivative of q(f) wrt f.
3
Let f be (-6)/(-12) - (-1)/(-2). Find the second derivative of -3*l + l + f*l**3 - 6*l**3 wrt l.
-36*l
Let x(y) be the first derivative of 1/2*y**4 + 0*y**2 - 2*y + 0*y**3 + 1. What is the first derivative of x(o) wrt o?
6*o**2
Let f(z) = 18*z**4 - 6*z**3 - 3*z**2 + 12. Let g(t) = 17*t**4 - 5*t**3 - 2*t**2 + 11. Let p(s) = -6*f(s) + 7*g(s). What is the third derivative of p(h) wrt h?
264*h + 6
Let y(r) be the third derivative of -r**9/504 - 2*r**5/15 - 4*r**2. Find the third derivative of y(q) wrt q.
-120*q**3
Let t be (16/(-5))/(10/(-25)). Suppose 16 = -4*z + t*z. Find the second derivative of 8*l**2 - l**3 - 8*l**2 - l + z*l**3 wrt l.
18*l
Let m(a) be the first derivative of a**4/2 - 2*a**3 + 12. Find the third derivative of m(p) wrt p.
12
Let y(p) = p**2 + 3*p - 1. Let r be y(-4). What is the second derivative of r*n**3 - n - 5*n**3 + n**3 wrt n?
-6*n
Suppose -5*u + 4*i + 1 = 0, 2*u + i + 1 - 4 = 0. What is the second derivative of 2 - 3 + u - 4*f - 2*f**4 wrt f?
-24*f**2
Let n(k) be the third derivative of k**5/15 - k**4/8 + 2*k**2. What is the second derivative of n(d) wrt d?
8
Let w(o) be the third derivative of 0*o**7 + 0*o**4 + 0*o**6 + 0 + 0*o + 0*o**3 + 1/336*o**8 + 1/20*o**5 + o**2. What is the third derivative of w(z) wrt z?
60*z**2
Let u(j) = 12*j**2 + 7. Let m(g) be the second derivative of -133*g**4/12 - 77*g**2/2 - g. Let i(y) = -5*m(y) - 56*u(y). What is the derivative of i(h) wrt h?
-14*h
Let o(u) = 4*u**5 + 3*u**3 + 3*u**2 + 8*u. Let c(x) = -11*x**5 - 8*x**3 - 8*x**2 - 23*x. Let n(w) = -3*c(w) - 8*o(w). Find the second derivative of n(k) wrt k.
20*k**3
Let j be 6 + (-1)/(1/2). Let o = 7 - j. Find the second derivative of g**o + g**3 + 4*g - 2*g wrt g.
12*g
Differentiate -10 + 13*z**3 - 6*z**3 - 6*z**3 wrt z.
3*z**2
Find the third derivative of 8*x**6 + 12*x**2 - 17*x**2 - 3*x**6 wrt x.
600*x**3
Let r(y) = 44*y**2 + y - 3. Let v(u) = 45*u**2 + 2*u - 2. Let d(f) = -3*r(f) + 2*v(f). Find the second derivative of d(s) wrt s.
-84
Let l(k) = -7*k + 5. Let w(g) = -g**2 + 1. Let q(s) = l(s) - 5*w(s). Find the second derivative of q(h) wrt h.
10
What is the third derivative of -w**3 - 5*w**2 - 5 + 5 wrt w?
-6
Suppose -2*f = 3*m - 8, 4*m = 3*f + 6 - 1. Find the first derivative of k**4 + 0*k**4 - m*k**4 - 2 wrt k.
-4*k**3
What is the second derivative of 17*w + 0*w**2 + w**2 + w**2 - 4*w**2 wrt w?
-4
Suppose 1 + 19 = 4*w, -4*m - w + 9 = 0. Let r(y) = -5*y**2 + 11. Let j(t) = 1. Let c(h) = m*r(h) - 3*j(h). Differentiate c(o) with respect to o.
-10*o
Let u(m) be the first derivative of m**6/120 + m**5/120 - 4*m**3/3 + 2. Let l(i) be the third derivative of u(i). What is the second derivative of l(k) wrt k?
6
Find the third derivative of -2*m**2 - 76*m**3 + 76*m**3 + 4*m**6 wrt m.
480*m**3
Let n be (-2)/8 - (-36)/16. What is the second derivative of k + 0*k - n*k + 4*k**2 wrt k?
8
Let s(t) = 41*t + 21. Let o(b) = 14*b + 7. Let h(d) = 17*o(d) - 6*s(d). Find the first derivative of h(i) wrt i.
-8
Differentiate -4 + 10 + 13 - 5 - 12*c**3 with respect to c.
-36*c**2
Let z(m) = m - 2. Let h be z(4). What is the third derivative of 0*b**h + 5*b**6 + 3*b**2 - 2*b**6 wrt b?
360*b**3
Let j(d) be the first derivative of -4*d**5/5 + 16*d - 10. Differentiate j(i) with respect to i.
-16*i**3
Let a be (-24)/(-10) + (-4)/10. What is the second derivative of -a*l + l + l**2 + 0*l wrt l?
2
Let m(i) = -11*i**3 + 3*i**2 + 6*i - 24. Let s(p) = 32*p**3 - 8*p**2 - 17*p + 71. Let a(r) = -17*m(r) - 6*s(r). Find the third derivative of a(n) wrt n.
-30
Let m(a) be the second derivative of -7*a**3/6 - 9*a**2/2 + 8*a. What is the first derivative of m(b) wrt b?
-7
Find the second derivative of z + 4*z**4 + 15*z - 4*z**4 + 3*z**4 wrt z.
36*z**2
Let a(i) be the first derivative of -i**7/42 - i**3/3 + 3*i + 1. Let k(x) be the first derivative of a(x). Find the second derivative of k(d) wrt d.
-20*d**3
Suppose 9*v = 12*v - 9. Let k(x) be the second derivative of x + 0 + 0*x**v + 0*x**5 + x**2 + 0*x**4 + 1/30*x**6. Differentiate k(g) with respect to g.
4*g**3
Let l(d) be the first derivative of -9*d**7/7 - 5*d**3/3 + 5. Find the third derivative of l(c) wrt c.
-1080*c**3
Let f(g) be the first derivative of g - 1 + 0*g**2 + 1/3*g**3. What is the derivative of f(k) wrt k?
2*k
Let w be 7/4 + (-5)/(-20). Find the third derivative of 0*q**6 + 5*q**2 + 3*q**6 - 4*q**w wrt q.
360*q**3
Let r(g) = g**3 + 3*g**2 + 12*g + 3. Let t(a) = -a**2 - a - 1. Let f(q) = r(q) + 3*t(q). What is the second derivative of f(d) wrt d?
6*d
Let p(b) be the first derivative of -1/4*b**4 - 3 + 0*b**3 + 0*b**2 + 2*b. What is the first derivative of p(n) wrt n?
-3*n**2
Let y(q) = -5*q**2 - 18. Let t(i) = 2*i**2 + 9. Let c(o) = 13*t(o) + 6*y(o). Differentiate c(f) with respect to f.
-8*f
Let r(p) be the third derivative of 19*p**8/168 + 19*p**5/60 - 12*p**2. What is the third derivative of r(a) wrt a?
2280*a**2
Let h(n) = -7*n**5 + n**2. Suppose 4*p + 23 - 3 = 0. Let w(y) = 8*y**5 - y**2. Let l(z) = p*w(z) - 6*h(z). What is the third derivative of l(i) wrt i?
