 wrt w?
-72*w**2
Let k(p) = -p**2 + p. Let y(d) = 20*d**4 + 10*d**2 + 12*d. Let m(i) = 12*k(i) - y(i). What is the third derivative of m(v) wrt v?
-480*v
Differentiate 6*t**3 + 1 + 10*t + 4*t - 14*t with respect to t.
18*t**2
Let f(d) be the first derivative of 6*d**5/5 + 14*d**2 + 30. What is the second derivative of f(t) wrt t?
72*t**2
Let n(w) be the first derivative of w**3 - 2 + 0*w + 0*w**2 + 6/5*w**5 + 0*w**4. Find the third derivative of n(x) wrt x.
144*x
Let i(g) be the second derivative of -19*g**4/12 + 47*g**3/6 + 25*g. Find the second derivative of i(s) wrt s.
-38
Let m(g) = g**2 + g + 4. Let t be m(0). What is the second derivative of -v**t + 2*v + 6*v**4 - 2*v**4 - 2*v**4 wrt v?
12*v**2
Let y(u) = -2*u + 11. Let h(p) be the second derivative of -3*p - 5/2*p**2 + 1/6*p**3 + 0. Let t(d) = 13*h(d) + 6*y(d). Find the first derivative of t(o) wrt o.
1
Suppose 2*x = -2*b - 4, 2*b - 7*b - 3*x - 6 = 0. Find the third derivative of -3*u**4 - 2*u**4 + b*u**2 + 6*u**2 wrt u.
-120*u
What is the first derivative of 557*n + 3 - 557*n - 5*n**3 wrt n?
-15*n**2
Let x(i) be the second derivative of -7*i**4/6 - i**3/3 - 5*i**2/2 - 16*i. What is the second derivative of x(r) wrt r?
-28
Suppose 0 = z + z + 2, -4*d + 9 = 3*z. Find the second derivative of -30*t**3 - d*t - 2*t**2 + 2*t**2 + 29*t**3 wrt t.
-6*t
Let v(n) be the first derivative of -n**6/6 - 41*n**5/5 + 2*n**3/3 + n**2/2 - 19. Find the third derivative of v(d) wrt d.
-60*d**2 - 984*d
Let u(p) be the third derivative of 3*p**7/10 + 65*p**3/6 + 2*p**2 + 6. Differentiate u(q) wrt q.
252*q**3
Suppose 0 = 2*i + i. Suppose -h - 2*c + c + 4 = i, 2*c + 2 = 0. What is the second derivative of -3*l + 14*l**h - 18*l**5 - 3 + 3 wrt l?
-80*l**3
Suppose 10*a - 8*a - 6 = 0. Find the third derivative of -6*p**2 - a*p**2 + 2*p**2 - 6*p**4 wrt p.
-144*p
What is the second derivative of -3*c + 4*c**3 - c**3 - 5*c wrt c?
18*c
Let g(x) be the first derivative of -x**6/72 - x**5/40 - 2*x**3/3 - 2. Let d(p) be the third derivative of g(p). What is the second derivative of d(i) wrt i?
-10
Differentiate -5*l**2 - 3 + 5*l**2 + 6*l**4 + 1 wrt l.
24*l**3
Let a(n) be the third derivative of n**5/60 + n**4/24 - n**3/3 - 3*n**2. Let f(s) be the first derivative of a(s). What is the derivative of f(z) wrt z?
2
Let d(y) = -29*y**2 + 11. Let m(x) = 57*x**2 - 23. Let b(v) = -5*d(v) - 2*m(v). Find the first derivative of b(s) wrt s.
62*s
Let p(x) = -x**2 + x. Let s be p(1). Suppose s = 3*t - 6. What is the third derivative of j + j**3 - j + j**t wrt j?
6
Let r(d) = d**4 + 1. Let a(l) = -10*l**4 - l**2 - 2. Suppose 2*y - 4 = 4*k, -3*y = -k - 2*k. Let s(p) = k*r(p) - a(p). Find the third derivative of s(n) wrt n.
192*n
Let k(l) be the second derivative of -l**5/20 - l**4/6 + 8*l. What is the third derivative of k(b) wrt b?
-6
Let u(j) = -j - 9. Let d be u(-15). Find the second derivative of 8*g + g - d*g**2 + 4*g - 11*g wrt g.
-12
Let s(b) = 1. Let c(r) = 1. Let v(x) = -4*c(x) + 5*s(x). Let w(f) = 3*f - 11. Let d(j) = 5*v(j) + w(j). Differentiate d(z) with respect to z.
3
Let s(g) be the third derivative of 0*g**4 + 1/2*g**3 + 0 + 0*g**5 + 0*g - 3*g**2 - 1/105*g**7 + 0*g**6. What is the first derivative of s(m) wrt m?
-8*m**3
Let t(g) be the first derivative of -12*g**7/7 + 2*g**3/3 + 1. What is the third derivative of t(c) wrt c?
-1440*c**3
Let q(p) be the second derivative of -13*p**4/12 + 31*p**2/2 - 28*p. Differentiate q(z) wrt z.
-26*z
Let n(t) = 6*t**2 + t - 5. Let i(k) = -1. Let q(z) = 5*i(z) - n(z). What is the second derivative of q(v) wrt v?
-12
Let k(t) be the second derivative of t**11/9240 + t**7/420 + t**4/4 + 4*t. Let f(h) be the third derivative of k(h). Find the third derivative of f(n) wrt n.
720*n**3
Let p(m) be the second derivative of -2*m + 0*m**5 - 1/2*m**2 + 0*m**3 + 0*m**4 + 0 - 1/5*m**6. Differentiate p(r) with respect to r.
-24*r**3
Let o(t) be the second derivative of 1/6*t**4 + 0*t**2 + 1/6*t**3 + 2*t + 0. What is the second derivative of o(i) wrt i?
4
Let j(a) = -a**2 + 11*a. Let t be j(5). Suppose -2*d + 12 = -5*x, -2*d - 4*x = 3*d - t. Find the third derivative of 5 + 0*l**6 + l**d - l**2 - 5 wrt l.
120*l**3
Find the second derivative of -30*q**2 + 15*q**2 + 29*q - 8*q - 2*q wrt q.
-30
Let s(m) be the third derivative of -2*m**7/105 - 3*m**5/20 + 23*m**3/3 - 68*m**2. What is the first derivative of s(k) wrt k?
-16*k**3 - 18*k
Let y(w) = -w + 7. Let r be y(5). Let z = 2 + r. What is the third derivative of -2*v**4 + z*v**2 - v**2 - 4*v**2 wrt v?
-48*v
Let u(n) be the second derivative of n**8/168 - n**5/60 + 2*n**2 + 4*n. Let m(l) be the first derivative of u(l). Find the third derivative of m(c) wrt c.
120*c**2
Let p(j) = -2*j. Let m be p(-1). What is the third derivative of 4*z**4 - 2*z**4 + 3*z**2 - 4*z**m wrt z?
48*z
Let n(j) = 6*j - 15. Let f(v) = -3*v + 8. Let b(p) = 5*f(p) + 3*n(p). Differentiate b(d) wrt d.
3
Let v(j) be the first derivative of 9*j**5/5 + 7*j - 8. Differentiate v(s) with respect to s.
36*s**3
Suppose 3*c - 4*z - 2 = 5, 3*c = 2*z + 11. Let y = 7 - c. What is the second derivative of -3*f - 3*f**2 + y*f**2 + f wrt f?
-2
Let h(y) = 5*y**2. Let a(c) = c + 2. Let n(b) = 5*b + 11. Let x(l) = -11*a(l) + 2*n(l). Let s(f) = h(f) - 3*x(f). Find the second derivative of s(t) wrt t.
10
Suppose 21 = 5*s + 2*p, -1 = -0*s + s + 3*p. Find the second derivative of 0*o**4 - 2*o**s + 0*o**4 + 0*o**4 - 3*o wrt o.
-40*o**3
Let d be -2 - -4 - (0 - 3). Suppose 0 = -y - d*n + 19, y = 2*y + 3*n - 13. What is the derivative of y - 2*m**3 + m**4 + 2*m**3 - 1 wrt m?
4*m**3
Let s(c) be the third derivative of 19*c**5/60 - 3*c**4/4 + 16*c**2. Find the second derivative of s(i) wrt i.
38
Let d = -33 - -35. Let y(q) be the second derivative of 0*q**3 + 0*q**d + 0*q**5 - 1/6*q**4 - 1/15*q**6 + 0 - 2*q. What is the third derivative of y(c) wrt c?
-48*c
Find the second derivative of -9*o**5 - 15*o + 22*o - 15*o**5 wrt o.
-480*o**3
Find the second derivative of 47*y - 39*y**3 - 9*y**3 - 5*y**3 wrt y.
-318*y
Let u(m) be the first derivative of -5*m**7/7 - m**3 + 3. What is the third derivative of u(z) wrt z?
-600*z**3
Suppose 8*p = 6*p + 18. What is the third derivative of 12*x**2 - 4*x**2 + 3*x**3 - p*x**2 wrt x?
18
Let j(u) be the second derivative of -3*u**5/5 - 2*u**3 - 7*u. Find the second derivative of j(b) wrt b.
-72*b
Let j be -3 - 0/(-1) - -7. Suppose -3*d + 20 = 5. Find the first derivative of -3 + d*p**4 + 5 - j*p**4 wrt p.
4*p**3
Find the second derivative of 140*t**5 - 159*t**5 - 5*t - t wrt t.
-380*t**3
Suppose -3*k + 8*k + a = -8, -4*a = k - 6. Let t(b) = -2*b - 2. Let d be t(k). What is the first derivative of -2 - 1 + q**d + 2*q**2 wrt q?
6*q
Let x be (-1 - (-6)/3) + 1. Find the third derivative of 4*t**2 - t**6 + 4*t**2 - x*t**2 wrt t.
-120*t**3
Let t be ((-4)/(-6))/(4/30). What is the first derivative of 2*v**2 - 3 + 0 + 11 - t*v**2 wrt v?
-6*v
Let d(j) be the third derivative of 0*j - 1/6*j**3 + 0*j**4 + 0*j**6 - 2/105*j**7 + 0 + 0*j**5 - j**2. Find the first derivative of d(v) wrt v.
-16*v**3
Suppose -6 = -w - 2. What is the second derivative of -3*y**3 - 2*y + 0*y - w*y wrt y?
-18*y
Let r(q) = q**3 - 8*q**2 + 7*q + 2. Let u be r(7). What is the third derivative of s**4 - 3*s**2 - 2*s**3 + 5*s**u + 2*s**3 wrt s?
24*s
Let x = -15 + 11. Let q = 0 - x. Find the second derivative of o - o**4 - o**4 - 4*o**q + 7*o**4 wrt o.
12*o**2
Suppose 0 = -3*o + b + 7, -o + 3*o + 3*b - 12 = 0. Let a = 5 - o. Differentiate 2 - a*m**2 - 4 + 3*m**2 wrt m.
2*m
Suppose 5*h + 12 = 4*o, -11 + 2 = -3*o - 2*h. Find the third derivative of 2*s**o - 4*s**2 + 3*s**3 - 4*s**3 wrt s.
6
Differentiate -6 + 8 - 5*z + 2 with respect to z.
-5
Let h = 108 - 104. Let n(u) be the third derivative of -1/6*u**3 + 0*u + 3*u**2 + 1/8*u**h + 0. Differentiate n(i) with respect to i.
3
Let p(v) = 16*v**6 + 11*v**3 - 10*v**2 + 11. Let o(s) = 5*s**6 + 4*s**3 - 3*s**2 + 4. Let t(n) = -11*o(n) + 4*p(n). Find the third derivative of t(l) wrt l.
1080*l**3
Find the second derivative of 21*d - 40*d + d**4 + 18*d wrt d.
12*d**2
Let k(o) be the second derivative of o**5/60 + o**4/12 - 3*o**2/2 - 2*o. Let s(b) be the first derivative of k(b). Find the second derivative of s(t) wrt t.
2
What is the second derivative of 5*p**3 - 12*p - 8*p