e 1 - 3 + 4*t**4 - 3*t**j with respect to t.
4*t**3
Suppose 0 = -5*x + 2*x. Let a(w) be the first derivative of 0*w**4 + 1/3*w**3 - 4 + x*w + 0*w**2 + 3/5*w**5. What is the third derivative of a(y) wrt y?
72*y
Let o(r) be the second derivative of -1/10*r**6 - 1/6*r**4 - 2*r + 0*r**5 + 0 + 0*r**3 + 0*r**2. What is the third derivative of o(u) wrt u?
-72*u
Let g(s) = -s**2 - 2*s. Let u(t) = -4*t**2 - 7*t + 1. Let v(j) = -2*j + 6. Let l be v(4). Let o(a) = l*u(a) + 7*g(a). Differentiate o(b) wrt b.
2*b
Let f(q) be the third derivative of -q**7/105 + 5*q**3/2 + 31*q**2. Differentiate f(y) wrt y.
-8*y**3
Let d(h) = h**3 - 2*h**2 + 2. Let i = 1 - -1. Let a be d(i). What is the derivative of 2 + 2*x - 2*x**3 - a*x wrt x?
-6*x**2
Find the third derivative of 4*h**2 + 0*h**2 + 4*h**3 - h**2 wrt h.
24
Let k(j) be the third derivative of -j**6/20 + 4*j**3/3 + 9*j**2. Differentiate k(s) wrt s.
-18*s**2
What is the second derivative of -105*d**4 - 30*d + 89*d + 27*d**4 wrt d?
-936*d**2
Let q be 1/6*-2*-9. Find the second derivative of -3*y - 4*y**3 + 0*y**q + 0*y**3 wrt y.
-24*y
Let h be 5/2*(-4)/(-5). Find the third derivative of h*p**4 - 4*p**4 + p**4 + 3*p**2 - 2*p**2 wrt p.
-24*p
Let r(y) be the third derivative of -y**6/5 - 11*y**3/6 - 20*y**2. Differentiate r(q) wrt q.
-72*q**2
Let j = 5 - 10. Let z(y) = 8*y**2 - 2*y + 5. Let t(d) = 7*d**2 - d + 4. Let v(i) = j*t(i) + 4*z(i). What is the second derivative of v(l) wrt l?
-6
Let v(x) = -x**2. Let z(b) = 5*b**3 + b**2 - 3*b**3 - 4*b - 4*b**2 + b**3. Let s(r) = 3*v(r) - z(r). What is the second derivative of s(o) wrt o?
-18*o
Let p(j) = j**3 - j**2 - 2*j + 2. Let k be p(2). What is the second derivative of -3*y**2 - 4*y**k + 3*y + 7*y**2 + 2*y**3 wrt y?
12*y
Suppose -l + 15 = 2*l. Find the first derivative of b**2 + 2*b**2 - 2*b**2 + l - 3 wrt b.
2*b
Suppose -3*z - 12 = 0, 5*t - 2*z - 3 = 5. Differentiate 1 + 4*n + 0 + t*n - 2*n with respect to n.
2
Let d(s) = 11*s**2 + 4*s - 14. Let n(c) = -c - 1. Let f(g) = -d(g) - 4*n(g). Differentiate f(x) wrt x.
-22*x
Find the third derivative of -2*l**3 + 2*l**2 - l**2 - 4*l**3 wrt l.
-36
Let t(y) be the second derivative of 0 + 0*y**4 + 5*y - 7/2*y**2 + 0*y**3 + 3/20*y**5. Differentiate t(z) with respect to z.
9*z**2
Let c(l) be the first derivative of -9*l**4/2 - 15*l**2/2 - 14. What is the second derivative of c(h) wrt h?
-108*h
Find the third derivative of 2*i**2 + 7*i**2 + 2*i**2 + 2*i**2 - i**5 wrt i.
-60*i**2
Let c(s) be the third derivative of s**6/180 - s**4/6 + 7*s**3/6 + 4*s**2. Let j(l) be the first derivative of c(l). Differentiate j(y) wrt y.
4*y
Let i(o) = -5*o**3 - o - 2. Let a be i(-1). Differentiate 3 - 8 + 14 - a*g wrt g.
-4
Let b(w) be the first derivative of 7*w**3 - 21*w**2/2 + 38. Find the second derivative of b(d) wrt d.
42
Let v(i) = 8*i**3 - 6*i**2 - 3*i + 6. Let t(r) = 8*r**3 - 5*r**2 - 2*r + 5. Let s(u) = -6*t(u) + 5*v(u). Find the second derivative of s(a) wrt a.
-48*a
Let x = 6 - 2. Let p be -2 + -1 - (x - 9). Differentiate 3 + 2 - 1 + p*w**3 wrt w.
6*w**2
Let v(l) be the third derivative of l**8/420 - l**5/30 - 2*l**3/3 + l**2. Let k(m) be the first derivative of v(m). Find the second derivative of k(c) wrt c.
48*c**2
Let z(k) be the second derivative of -k**7/315 + k**5/15 - 7*k**4/12 - 2*k. Let p(g) be the third derivative of z(g). Find the first derivative of p(t) wrt t.
-16*t
Let g(l) = -2*l - 6. Let s(v) = v + 2. Suppose -3*i = 2*z - 44, 5*z - 3*z - 72 = -5*i. Let y(j) = i*s(j) + 4*g(j). Differentiate y(q) wrt q.
6
Let d(o) be the second derivative of o + 0*o**2 - 1/42*o**7 + 0*o**4 - 1/6*o**3 + 0*o**5 + 0*o**6 + 0. What is the second derivative of d(a) wrt a?
-20*a**3
Let y(o) = o + 11. Let t be y(-11). Let q(s) be the second derivative of 1/12*s**4 - s - s**2 + t + 0*s**3. Differentiate q(h) wrt h.
2*h
Let z(c) be the first derivative of 6*c**7/7 - 8*c**3/3 + 7. Find the third derivative of z(m) wrt m.
720*m**3
Suppose x = 5*x. Suppose -m + 2*r - 4 = 0, 16 = -x*m + 2*m + 4*r. Find the third derivative of -d**4 - d**m + 3*d**4 + 0*d**4 wrt d.
48*d
What is the second derivative of 19*r + 3567 - 3567 - 19*r**2 wrt r?
-38
Let p(r) be the second derivative of r**5/10 - 2*r**2 - 6*r. Find the first derivative of p(s) wrt s.
6*s**2
What is the second derivative of h - 25*h**4 - 6*h + 35*h wrt h?
-300*h**2
Let q(s) be the third derivative of -s**6/15 + s**5/15 + 3*s**2. What is the third derivative of q(c) wrt c?
-48
What is the third derivative of 13*i**2 - 13*i**5 - 7*i**2 - 19*i**2 wrt i?
-780*i**2
Find the first derivative of 13*j + j**3 + 35 + 30 - 2*j**3 - 62 wrt j.
-3*j**2 + 13
Suppose 0*f - 2*f = 0. Let p(v) be the second derivative of 0 + 1/2*v**2 + 0*v**3 + 0*v**4 - 1/15*v**6 + f*v**5 - v. Differentiate p(z) with respect to z.
-8*z**3
Find the first derivative of -2 - 3*q - 2 + 5*q + 3 wrt q.
2
Let f(m) = m**2 + m. Let v(b) = -3*b**2 - 2*b. Let o(c) = -8*f(c) - 3*v(c). Find the second derivative of o(d) wrt d.
2
Let j(l) = -33*l**2 + 2*l - 43. Let g(x) = -32*x**2 + 3*x - 44. Let m(k) = -2*g(k) + 3*j(k). Differentiate m(o) with respect to o.
-70*o
Let k(y) = 2*y. Let g be k(1). Find the second derivative of 5*r**4 - g*r + r - 7*r**4 wrt r.
-24*r**2
Suppose -3*o + 2*o = -2. What is the second derivative of 0*q - 3*q**2 - q + 0*q**o + 0*q wrt q?
-6
Find the third derivative of 3*y**3 + 18*y**5 - 3*y**3 - 13*y**5 + 8*y**2 wrt y.
300*y**2
Differentiate 10 + 5 + 0 + 2*f - 8 wrt f.
2
Let y(q) = -q**4 + 15*q**2 - 7. Let t(a) = -14*a**2 + 6. Let i(b) = 7*t(b) + 6*y(b). What is the third derivative of i(s) wrt s?
-144*s
Let g(j) be the first derivative of 3*j**4/2 + 5*j**3/3 + 16. Find the third derivative of g(x) wrt x.
36
Let h(o) be the third derivative of -7*o**5/60 - o**4/4 + 2*o**2. Find the second derivative of h(v) wrt v.
-14
Suppose 6*j - 5*j - 9 = 0. What is the first derivative of -3*u**3 + j*u**2 - 9*u**2 + 3 wrt u?
-9*u**2
Let l(w) be the third derivative of -w**9/72 - 3*w**5/10 + 3*w**2. What is the third derivative of l(d) wrt d?
-840*d**3
Let f(t) = 43*t - 39. Let w(v) = -300*v + 273. Let b(h) = -15*f(h) - 2*w(h). Differentiate b(y) wrt y.
-45
Suppose -4*n + 8*n - 72 = -3*w, -w + 2*n + 24 = 0. Suppose -w = d - 5*d. Find the third derivative of -3*r**2 + 4*r**4 - r**d + 0*r**6 - 4*r**4 wrt r.
-120*r**3
Let p be (1 - -7)/2 - 1. Suppose -o - 16 = 5*n, -1 - 11 = o + 4*n. Differentiate -4 + d**2 + o + p with respect to d.
2*d
Let g(r) be the first derivative of r**6/120 - r**4/24 + r**2 + 4. Let o(y) be the second derivative of g(y). What is the second derivative of o(a) wrt a?
6*a
Suppose 2*x = -2*x - 20. Let u(b) = -4*b - 4. Let i(y) = -y**2 + 5*y + 4. Let j(f) = x*u(f) - 4*i(f). Find the first derivative of j(o) wrt o.
8*o
Let l(w) = w**2 - w. Let i(m) = 2*m**3 - 3*m**2 + 3*m - 13. Let k(j) = -2*i(j) - 6*l(j). Find the first derivative of k(u) wrt u.
-12*u**2
Let h(l) be the third derivative of -7*l**4/24 - l**3/2 + 19*l**2. Find the first derivative of h(q) wrt q.
-7
Let l(i) = 5*i - 18 - 3*i**2 + 12 - i**3 - 2*i. Let g(w) = 2*w**3 + 2*w**2 - 2*w + 5. Let q(c) = -3*g(c) - 2*l(c). What is the derivative of q(b) wrt b?
-12*b**2
Let a(c) be the first derivative of 53*c**4/4 - 5*c**2/2 - 4*c + 37. Find the second derivative of a(y) wrt y.
318*y
Let m(c) = -9*c**2 - 9*c. Let j(f) = 9*f**2 + 10*f. Let d(i) = 3*j(i) + 2*m(i). What is the second derivative of d(s) wrt s?
18
Let j(f) = 2*f + 7. Let d(k) = -2*k**2 - 4*k + 3. Let o be d(-4). Let n(c) = c + 3. Let b(l) = o*n(l) + 6*j(l). What is the derivative of b(r) wrt r?
-1
Let r(t) = -t**2 - t. Let l(j) = -34*j**3 + 3*j**2 - 27*j. Let n(q) = -l(q) - 3*r(q). What is the second derivative of n(z) wrt z?
204*z
Suppose -4*l + 3 = 3*j - 5, 3*l = -5*j - 5. Find the third derivative of 42*z**2 + l*z**3 - 45*z**2 + 0*z**3 wrt z.
30
Find the second derivative of -2*o**5 - 79*o + 9*o**5 + 77*o wrt o.
140*o**3
Suppose -4*o = -2*o - 4. Suppose -4*k - 17 = -5*t - o, 0 = -4*t - k + 12. Differentiate -c**2 - 4 - 4*c**2 - c**t + 5*c**2 wrt c.
-3*c**2
Let u(n) be the first derivative of -3*n**5/5 - 45*n + 41. What is the derivative of u(l) wrt l?
-12*l**3
Suppose 0*v + 2*v = 14. Suppose 3*x + 0 - v = p, -3*p = -6. What is the second derivative of 2*g - g - 2*g - 3*g**x wrt g?
-18*g
What is