?
-120*l**2
Suppose -2*n = 2*n - 16. Differentiate -n*s + 3*s + 3 + 5*s with respect to s.
4
Let i(f) = 16*f**3 + 4*f**2 + 49*f + 9. Let p(l) = -7*l**3 - 2*l**2 - 24*l - 4. Let o(u) = 4*i(u) + 9*p(u). Find the second derivative of o(q) wrt q.
6*q - 4
Let l(u) be the third derivative of -1/6*u**3 + 0*u + 0*u**5 + 0 + 0*u**6 + 0*u**4 + 4*u**2 - 2/105*u**7. Find the first derivative of l(s) wrt s.
-16*s**3
Let k(m) be the third derivative of 13*m**5/15 - 9*m**4/4 + 5*m**2 + 4. What is the second derivative of k(p) wrt p?
104
Let r(j) be the first derivative of 34*j**5/5 + 32*j - 32. What is the derivative of r(k) wrt k?
136*k**3
Let a(d) be the first derivative of 17*d**5/5 + 8*d**2 - 9. What is the second derivative of a(z) wrt z?
204*z**2
Let z(q) = 22*q**2 - 11*q + 2. Let u(o) = o + 1. Let l(b) = 2*u(b) - z(b). What is the second derivative of l(p) wrt p?
-44
Let r(v) = v**2 - 1. Let h(j) = -17*j**2 - 7*j + 3. Let f(z) = h(z) + 3*r(z). Find the second derivative of f(i) wrt i.
-28
Let g(n) be the first derivative of 16*n**3/3 - 18*n - 3. Differentiate g(s) wrt s.
32*s
Differentiate 12 + 7*u**2 - 27 + 16 wrt u.
14*u
Find the third derivative of 0*i**2 + 105 - 3*i**2 - 5*i**6 - 107 wrt i.
-600*i**3
Differentiate -5*i**2 - 86*i + 2 + 86*i wrt i.
-10*i
Let c(p) = -39*p**3 + 6*p**2 - 6*p + 6. Let d(a) = 77*a**3 - 11*a**2 + 11*a - 13. Let m(s) = -11*c(s) - 6*d(s). Differentiate m(x) wrt x.
-99*x**2
Let r be 7/3 + (-8)/(-12). Suppose 6 = 4*j - 2*i, -r*i = 2*i - 25. Find the third derivative of 0*s**4 - s**2 + s**j + 0*s**4 wrt s.
24*s
Let x(i) be the second derivative of -1/12*i**4 + 0*i**3 + 0 + 4*i + 1/2*i**2. Find the first derivative of x(j) wrt j.
-2*j
Let o(b) = 25*b**5 - 11*b**2. Let f(k) = -51*k**5 + 23*k**2. Let g(m) = 4*f(m) + 9*o(m). What is the third derivative of g(j) wrt j?
1260*j**2
Let m be 3/(-9)*0 - -2. Find the second derivative of 4*d - 3*d**2 + 3*d**m + 0*d + 3*d**4 wrt d.
36*d**2
Let y(w) = 4*w + 6. Let f(z) = 2*z + 3. Let v(l) = -15*f(l) + 6*y(l). Differentiate v(i) wrt i.
-6
Let v(g) be the third derivative of -g**6/4 + 47*g**5/60 + 47*g**2. Find the third derivative of v(h) wrt h.
-180
Suppose -26 + 8 = -j - 4*g, -2*g = -6. Suppose -5*q + 4*k + 23 = 0, 0 = -5*q - 2*k + j + 5. Find the third derivative of 3*z**2 - z**5 + 2*z**q - 2*z**3 wrt z.
-60*z**2
Let v(c) = -129*c + 99. Let p(u) = -26*u + 20. Let h(m) = -24*p(m) + 5*v(m). What is the derivative of h(f) wrt f?
-21
Let u(d) be the third derivative of 0*d**5 + 0*d**3 + 0*d + 0 + 2/105*d**7 + 0*d**6 + 1/4*d**4 - d**2. Find the second derivative of u(m) wrt m.
48*m**2
What is the second derivative of -2*v**2 - 10*v**2 + 14*v - 32*v**5 + 12*v**2 wrt v?
-640*v**3
Let c(k) be the first derivative of 0*k**3 + 1/2*k**2 - 1/4*k**4 + 0*k + 4. What is the second derivative of c(z) wrt z?
-6*z
Suppose -5*x + 0*x = u - 23, 0 = 5*x + 5*u - 15. Let z be 2/(-6)*-3*x. What is the third derivative of h**5 - z*h**5 + 3*h**5 - h**2 wrt h?
-60*h**2
What is the derivative of -148 - 6*l**2 - 7*l**2 + 132 wrt l?
-26*l
Suppose 5*o = -5*o + 16*o. Let l(j) be the first derivative of -2/5*j**5 - 1 + o*j**4 - 3*j + 0*j**3 + 0*j**2. What is the derivative of l(a) wrt a?
-8*a**3
Let l = 1 + 1. What is the third derivative of 2*z**3 - 5*z**l + 7*z**2 - 9*z**3 wrt z?
-42
Let q(j) = -j**4 - 4*j**3 - 4*j. Let t(z) = -2*z**4 - 5*z**3 - 5*z + 1. Let b(n) = -5*q(n) + 4*t(n). Find the first derivative of b(x) wrt x.
-12*x**3
Let m(z) = z**2 + z - 1. Let l be m(2). Suppose 0 = -2*j + l*j - 6. What is the first derivative of j - 1 + 2*k - k wrt k?
1
Let t be 2/6 + (-22)/(-6). Find the second derivative of -m - 4*m**t - 2*m**4 + 3*m + m**4 wrt m.
-60*m**2
Find the second derivative of 5*i + 9 - 8*i**4 - 9 + 14*i wrt i.
-96*i**2
Let b(v) be the third derivative of -19*v**6/120 + 7*v**3/3 + 26*v**2. Differentiate b(r) with respect to r.
-57*r**2
What is the third derivative of 3*c**4 + 0*c**2 + 3*c**2 + 4*c**2 + 0*c**4 wrt c?
72*c
Let g(t) be the second derivative of 2*t**5/5 + t**4/12 - t. What is the third derivative of g(m) wrt m?
48
Suppose 2*k + 0*k - 10 = 0. Find the second derivative of -o**5 + 2*o + 0*o + k*o**5 wrt o.
80*o**3
Find the third derivative of -24*t**2 - 60*t**3 - 17*t**2 + 90*t**3 - 71*t**3 wrt t.
-246
Let s(c) = -c**4 - c. Let w(y) = -12*y**5 - 8*y**4 + 8*y**2 - 8*y. Let o(m) = -8*s(m) + w(m). What is the third derivative of o(f) wrt f?
-720*f**2
Let g(c) be the second derivative of 5*c**8/336 - 5*c**4/24 - c**2 - 4*c. Let w(j) be the first derivative of g(j). What is the second derivative of w(d) wrt d?
100*d**3
Suppose -3*q + 5*w + 70 = 2*q, -4*w = 8. Suppose -5*m + 0 = 4*l + q, 5*l - 18 = 2*m. Find the second derivative of l*t - 2*t**4 + 0*t - 3*t wrt t.
-24*t**2
Let f(s) = -19*s**2 - 19*s + 3. Let g(k) = k**2 - k + 1. Let t(u) = f(u) - 3*g(u). What is the second derivative of t(h) wrt h?
-44
Let n(z) be the second derivative of 7/6*z**3 + 0*z**2 - 1/10*z**6 + 0 - z + 0*z**5 + 0*z**4. What is the second derivative of n(j) wrt j?
-36*j**2
Let v(w) = -9 + w**4 - 15*w**3 + 2*w**4 + 10*w**3. Let l(p) = -2*p**4 + 4*p**3 + 9. Let i(f) = 5*l(f) + 4*v(f). Differentiate i(n) with respect to n.
8*n**3
Let i(m) = m. Let j(l) = 29*l**2 + 6*l + 16. Let p(n) = 6*i(n) - j(n). What is the derivative of p(w) wrt w?
-58*w
Let j = 35 + 11. Find the first derivative of 3*m + j + 4*m**3 - 3*m - 51 wrt m.
12*m**2
Let x(t) = 3*t - 6. Let m(q) = 16*q - 30. Let p(d) = 2*m(d) - 11*x(d). Let a be p(4). What is the second derivative of a*n - n**3 - 1 - 2*n**3 + 1 wrt n?
-18*n
Suppose -3*w = 4*u - 17, 0*u - w = 4*u - 27. Find the second derivative of 0*s**2 - 2*s**2 - u*s + 3*s**2 + 3*s**2 wrt s.
8
Suppose 0 = -4*k + 20 - 8. Let l(o) be the second derivative of 1/6*o**3 + 0 + k*o - o**2. Differentiate l(j) wrt j.
1
Let q(x) = -26*x - 16. Let w(a) = -a. Let d(f) = -q(f) - 4*w(f). Differentiate d(j) wrt j.
30
Let r(t) be the third derivative of 0 + 0*t**4 + 0*t + 0*t**3 - 3*t**2 + 1/10*t**5 + 1/24*t**6. What is the third derivative of r(v) wrt v?
30
Let g(s) be the third derivative of s**6/24 - 4*s**3/3 - 4*s**2. What is the first derivative of g(u) wrt u?
15*u**2
Suppose 0 = -5*c + 15, 0*c + 12 = 3*k - c. Find the second derivative of -4*v + 0*v**4 - 3*v**5 + 0*v**4 + v**k wrt v.
-40*v**3
Find the third derivative of 3*p**5 + 2*p**2 + p**5 + 4*p**2 + 6*p**2 wrt p.
240*p**2
Let z(q) = -8*q**2 + 5*q + 16. Let k(p) = -4*p**2 + 3*p + 8. Let h(n) = -5*k(n) + 3*z(n). Differentiate h(f) wrt f.
-8*f
Let b = 9 + -5. Suppose 5*m = -4*f + 16, f + b*m - 5*m - 4 = 0. Differentiate -g**f - 2*g**4 + 4 - 1 wrt g.
-12*g**3
Let n(b) be the first derivative of b**4/2 + 2*b**2 - b + 1. Let j(f) = -f**3 - 1. Let l(d) = -j(d) + n(d). What is the second derivative of l(g) wrt g?
18*g
Suppose -2*s = -3*x - 5, -4*s + 9 = -x - 6. Suppose 0 = 3*b - 2*b + s*n - 5, n - 2 = -b. What is the derivative of 9*f**2 + b - 4*f**2 - 4*f**2 wrt f?
2*f
What is the first derivative of -13*m**3 + 1 - 14*m**2 + 14*m**2 wrt m?
-39*m**2
Let j be -5*(21/15 - 2). Let m = -3 + j. Differentiate -3 + 0*s + m*s**2 - 3*s**2 + 0*s wrt s.
-6*s
Let x(l) be the second derivative of 1/30*l**6 + 0*l**4 + 0*l**5 + 3*l + 0*l**3 + 0 + 3/2*l**2. Find the first derivative of x(y) wrt y.
4*y**3
Suppose 2*d - 7 = -5*y + 9, -y + 14 = -5*d. Let b be (-1 - 0) + (1 - d). Find the third derivative of 2*o**2 + 2*o**6 + 4*o**2 - 5*o**6 - 2*o**b wrt o.
-360*o**3
Let h(c) = 40*c**4 + 11*c**3 + 11*c**2 - 11*c + 45. Let q(l) = -8*l**4 - 2*l**3 - 2*l**2 + 2*l - 9. Let t(a) = -2*h(a) - 11*q(a). Differentiate t(z) wrt z.
32*z**3
Let d(z) be the third derivative of -5*z**8/336 - 7*z**5/60 + 7*z**2. What is the third derivative of d(f) wrt f?
-300*f**2
Let q(o) = -o**3 - 9*o**2 + 6*o + 6. Let r(m) = m**3 + 8*m**2 - 5*m - 5. Let a(g) = 5*q(g) + 6*r(g). Find the third derivative of a(w) wrt w.
6
Let s(f) be the first derivative of 9*f**5/5 - 4*f + 24. Differentiate s(k) with respect to k.
36*k**3
Let l(j) be the first derivative of -29*j**4/4 + 13*j**3/3 - 27. Find the third derivative of l(h) wrt h.
-174
Suppose c = -3*k + 3*c + 8, 30 = 5*k + 5*c. Suppose -2*m + 0*m = -k. Find the third derivative of 2*t**3 + m*t**6 - 2*t**3 + t**2 - 5*t**2 wrt t.
240*t**3
Let k = -10 - -12. Let v(r) = -9*r**3 - 