e third derivative of 2*m**7/35 - 7*m**4/24 + 8*m**2. What is the second derivative of u(r) wrt r?
144*r**2
Suppose j + 2 = p, j - 2*p = 4 - 5. Let l be (j - 16/(-6))*-12. What is the first derivative of -2 - 3*c**l + c**4 + 5 + 0*c**4 wrt c?
-8*c**3
Let f(y) be the second derivative of -3/20*y**5 + 0*y**4 + 0 + 0*y**2 - 5*y - 2/3*y**3. Find the second derivative of f(r) wrt r.
-18*r
Differentiate -2*j**4 + 1 + 12*j**4 + 1 with respect to j.
40*j**3
Let m(i) be the first derivative of 7*i**5/5 - 2*i + 4. Differentiate m(a) with respect to a.
28*a**3
Let i be (2/5)/((-4)/(-60)). Find the third derivative of 0*j**2 + 2*j**4 + 2*j**4 - i*j**2 wrt j.
96*j
What is the third derivative of -19*n**2 + 5*n**3 - 5*n**3 - 5*n**5 + 34*n**5 wrt n?
1740*n**2
Let j be (1 + 1)/2*2. Suppose j*d + 1 = 5. What is the third derivative of d*t**4 + 4*t**2 - 2*t**2 - t**2 wrt t?
48*t
Let x(g) = -g**2 - 5*g - 2. Let p be x(-4). Differentiate -2 + 3*b**2 + 2*b**2 - b**p with respect to b.
8*b
Let m(y) = y**3 - 2*y**2 - y + 1. Let a(c) = 11*c**3 - 10*c**2 + 26*c + 5. Let w(p) = -a(p) + 5*m(p). Find the second derivative of w(j) wrt j.
-36*j
Suppose 3*z + 6 = 5*z. Suppose z*d + d = 0. Find the first derivative of d*a**2 + 0*a**2 + 0 - 3*a**2 + 3 wrt a.
-6*a
Let c(k) be the second derivative of k**5/20 - 55*k**4/12 - k**3/3 - 2*k**2 + 9*k + 2. What is the second derivative of c(o) wrt o?
6*o - 110
Let q(j) be the second derivative of j**6/6 - 3*j**2/2 - 5*j. What is the derivative of q(w) wrt w?
20*w**3
Let c be (2/(-2))/(-1) + -2. Let v = c - -1. What is the derivative of 2*d + 1 + v*d + 0 wrt d?
2
Let s(n) be the second derivative of 0*n**5 + 1/6*n**3 + 0 - 1/30*n**6 + 0*n**4 + 3*n + 0*n**2. What is the second derivative of s(b) wrt b?
-12*b**2
Suppose -4*u + 16 = -0*u - 2*f, -4*u = 4*f + 8. Differentiate 4*x**4 + 0*x**4 + 6 - u wrt x.
16*x**3
Let w(r) be the second derivative of -r**9/7560 + r**5/40 - r**4/6 + 3*r. Let g(h) be the third derivative of w(h). Differentiate g(v) with respect to v.
-8*v**3
Suppose 0 = 2*r + 2*r. Suppose r = -4*n - 2 + 14. What is the first derivative of 0 - 2*j - j + n wrt j?
-3
Let y(w) = -w**4 + w**3 - w**2 + w - 1. Let m(i) = 2*i**4 + 2*i**3 - 19*i**2 + 2*i - 2. Let j(r) = -m(r) + 2*y(r). Find the third derivative of j(q) wrt q.
-96*q
Let c(k) = -k - 1 + 4*k**3 + 2 + 4*k**2 - 3*k. Let r(l) = -8*l**3 - 9*l**2 + 9*l - 3. Let j(h) = 9*c(h) + 4*r(h). Differentiate j(q) wrt q.
12*q**2
Let l(d) be the third derivative of -1/168*d**8 + 4*d**2 + 0*d + 0 + 0*d**7 + 0*d**5 + 0*d**3 + 0*d**6 + 5/24*d**4. Find the second derivative of l(y) wrt y.
-40*y**3
Suppose -2*c + 3*d = -6, -c = d - 1 - 2. Suppose 2 = 2*n - 2. What is the third derivative of 2*y**c + 2*y**3 - 2*y**3 + n*y**2 wrt y?
12
Let r(i) be the third derivative of -3*i**2 + 0 - 1/2*i**3 + 0*i**4 + 0*i + 1/60*i**5. What is the derivative of r(f) wrt f?
2*f
What is the third derivative of 5*k**2 - 4*k**2 + 4*k**5 + 5*k**2 wrt k?
240*k**2
Let x(a) = -15*a**3 - 2*a**2 - 6*a - 6. Let v(t) = t**3 - t**2 + t + 1. Let l(z) = -6*v(z) - x(z). Find the third derivative of l(j) wrt j.
54
Let t = -16 + 19. Find the second derivative of -l + l**t + 3*l**3 - l + 2*l**3 wrt l.
36*l
Let r(s) = -s + 12. Let y be r(7). Let l(z) = -3*z - 5. Let q(i) = 2*i + 5. Let d(a) = y*q(a) + 4*l(a). Differentiate d(x) wrt x.
-2
Let q(z) = 5*z**4 - 6*z**2. Let s(t) = -9*t**4 + 11*t**2 + 1. Let f(g) = 11*q(g) + 6*s(g). What is the first derivative of f(j) wrt j?
4*j**3
Suppose 0 = -n + 5*d + 38, 8*n - 3*n = -5*d + 40. Suppose 3*y + 2*g = -y - 2, g = 4*y - n. What is the second derivative of 2*o**y - 2 + 2 + 2*o wrt o?
4
Let m(s) be the third derivative of -s**6/20 + 7*s**3/3 - 9*s**2. Differentiate m(b) with respect to b.
-18*b**2
Let w(t) be the third derivative of t**6/20 - 7*t**4/24 - 8*t**2. What is the second derivative of w(y) wrt y?
36*y
Let w(t) be the second derivative of t**7/1260 - t**5/120 - t**4/6 + t. Let p(q) be the third derivative of w(q). Find the first derivative of p(u) wrt u.
4*u
Suppose 0 = -v - 2, -2*v + 28 = 4*f - 0*f. Suppose 3*g - 3*u - 22 = f, 4*u = 2*g - 30. What is the second derivative of b - 2*b + 2*b**5 - b**g wrt b?
20*b**3
Let m(s) be the second derivative of -s**6/15 + 7*s**4/12 + 9*s. Find the third derivative of m(a) wrt a.
-48*a
Let p(k) be the second derivative of -k**7/21 + 7*k**3/3 - 13*k. Find the second derivative of p(z) wrt z.
-40*z**3
Suppose -2*v + 4*w + 8 = 0, 0 = 4*v - 5*v - 2*w + 12. Find the third derivative of -m**2 + 3*m**2 - v*m**4 + 3*m**4 + 6*m**2 wrt m.
-120*m
What is the first derivative of -18 + 353*j**3 - 176*j**3 - 181*j**3 wrt j?
-12*j**2
Differentiate 3*q - 4*q - 5*q + 2 with respect to q.
-6
Differentiate 5*r - 8 - 11 + 21 wrt r.
5
Let g(u) be the first derivative of -8*u**3/3 + 21*u**2/2 - 9. What is the second derivative of g(s) wrt s?
-16
Let u be ((-3)/(-4))/(-3)*-12. Find the second derivative of -u*d**5 + 2*d - d**4 + 4*d**5 + d**4 wrt d.
20*d**3
Let k be (1 - 0)*(1 - 1). What is the third derivative of 4 - 6*j**2 - 4 + 6*j**4 + k wrt j?
144*j
What is the third derivative of -3*r**5 - 1078*r**3 + 1078*r**3 - 7*r**2 wrt r?
-180*r**2
Suppose -2*d = 2*b - d - 5, -3*b + 35 = -4*d. Differentiate -b + 3*c**3 + 5 - 5*c**3 - 4 with respect to c.
-6*c**2
Let v(a) = -a**2 + a + 3. Let g(w) = 7*w - 3*w + 4 - 2*w**2 - 3*w. Let d(p) = -3*g(p) + 4*v(p). What is the second derivative of d(s) wrt s?
4
Let k(d) = -d**2 - 4*d + 5. Let t be k(-5). Suppose -2*c + 4 + 0 = 0. What is the second derivative of -2*i**4 + t*i**2 - 8*i + 0*i**c + 5*i wrt i?
-24*i**2
Let h(f) be the third derivative of -f**7/30 + 5*f**3/6 - 6*f**2. Differentiate h(d) wrt d.
-28*d**3
Let r(h) be the third derivative of 7*h**6/60 - 11*h**4/24 - 12*h**2. Find the second derivative of r(g) wrt g.
84*g
Suppose 5*b + 7 = 6*b. Differentiate -b - h + h + 3 - 2*h**3 with respect to h.
-6*h**2
Let b = 3 - 3. Let v be (1/2 + b)*8. What is the third derivative of -3*x**v + 0*x**4 + 20*x**2 - 23*x**2 wrt x?
-72*x
Suppose p + 6 = 2*p. Suppose -5*b + p = -4. Find the second derivative of b*z - 4*z**5 + 4*z**5 - z**5 wrt z.
-20*z**3
Let x(v) be the first derivative of -4/3*v**3 + 0*v**2 + 0*v + 3 + 1/2*v**4. What is the third derivative of x(t) wrt t?
12
Let h(o) be the second derivative of -o**7/420 + o**6/60 + o**3/3 + 6*o. Let u(q) be the second derivative of h(q). Find the third derivative of u(t) wrt t.
-12
Suppose 3*o - 21 = 3*t, o + 3*o + 2*t - 40 = 0. Find the third derivative of -o*c**2 - c**4 - c**3 + c**3 + 6*c**2 wrt c.
-24*c
What is the first derivative of -9 - 3*k**3 + 6*k**3 + 5 wrt k?
9*k**2
Let w(i) = -i**3 + 6*i**2 + 7*i + 4. Let u be w(7). Find the second derivative of -u*x**4 - 5*x - 4*x + x wrt x.
-48*x**2
Let u(a) = 9*a**2 + 2*a + 11. Let y(j) = j**2. Let b(g) = -u(g) + 2*y(g). Find the second derivative of b(h) wrt h.
-14
Suppose 5*z + 4 = 29, 4*j + 8 = 4*z. Find the third derivative of w**5 + w**5 + 0*w**2 + j*w**2 wrt w.
120*w**2
Let p be (-1)/(5/2 - 3). What is the first derivative of -4*x**3 - 4*x**3 + 5*x**3 + p + x**3 wrt x?
-6*x**2
Let u be (-19)/(-5) + (-3)/(-15). What is the second derivative of 3*b**2 + 0*b**2 - 4*b**2 + u*b wrt b?
-2
Find the third derivative of -5*j**2 + 2*j**2 + 4*j**2 + 3*j**3 wrt j.
18
Let u = -23 + 31. Find the second derivative of 49*m**2 + 5*m**3 - 49*m**2 + u*m wrt m.
30*m
Find the second derivative of 1147 - 1147 + n + 32*n**3 wrt n.
192*n
Let c = -1 - -1. Suppose f + 3*f = 0. Find the second derivative of -l**4 + l + c*l**3 + f*l**3 wrt l.
-12*l**2
Let f(g) be the first derivative of -22*g**3/3 + 8*g**2 + 22. What is the second derivative of f(i) wrt i?
-44
Suppose 5*c = -6 - 4. Let i = c - -6. Differentiate -1 - 2*v**4 - 6 + i + 2 with respect to v.
-8*v**3
Suppose -7 = 3*f + 2. Let u be 4 - (4 + f) - 1. What is the second derivative of 5*o**2 - 2*o**u - o + 4*o**4 - 3*o**2 wrt o?
48*o**2
Let j = -19 + 25. What is the third derivative of -16*i**2 + i**6 + i**j + 26*i**2 - 3*i**6 wrt i?
-120*i**3
Let b(k) = k**3 + 9*k**2 - 3*k - 12. Let f be b(-9). Let i = f + -11. What is the second derivative of 0*a + 2*a**3 - i*a + 3*a wrt a?
12*a
Let q(m) = 53*m**2 + 9*m + 27. Let x(u) = 13*u**2 + 2*u + 7. Let o(w) = -2*q(w) + 9*x(w). Differentiate o(n) wrt n