*j
Let g(p) be the second derivative of -p**8/56 + p**4/12 + 3*p**2/2 + 5*p. Let o(r) be the first derivative of g(r). Find the second derivative of o(k) wrt k.
-120*k**3
Let c(k) be the second derivative of 9*k**5/20 + 6*k**3 + 13*k. Find the second derivative of c(r) wrt r.
54*r
Let y(i) = -i**4 - i**3 - i**2 + i. Let s(w) = -8*w**6 + w**4 + w**3 + 2*w**2 - w. Let f(a) = s(a) + y(a). Find the third derivative of f(v) wrt v.
-960*v**3
Let l = -4 + 22. Suppose d - l = -2*d. Find the third derivative of -2*p**d + 4*p - 4*p - 2*p**2 wrt p.
-240*p**3
Let u(x) = -12*x + 16. Let j(r) = -4*r + 5. Let g(t) = 11*j(t) - 4*u(t). Differentiate g(a) with respect to a.
4
Let b = -54 - -56. Let n(o) be the second derivative of -2/3*o**3 + 0 - 3/2*o**b - o. Differentiate n(y) wrt y.
-4
Let w be (1 + 0)/(-5 + 6). What is the first derivative of 4 - w - 3 + 4*y**3 + 2 wrt y?
12*y**2
Let k(x) be the first derivative of x**7/210 - x**4/24 - x**3 + 3. Let j(y) be the third derivative of k(y). What is the derivative of j(l) wrt l?
12*l**2
Differentiate -178*q**4 - 4*q**3 + 4*q**3 - 32 + 170*q**4 wrt q.
-32*q**3
Let u(h) be the second derivative of h**4/12 - 4*h**2 - 21*h. Differentiate u(v) with respect to v.
2*v
Let r(q) be the second derivative of -q**5/20 - q**4/6 + 67*q**3/6 + 15*q. Find the second derivative of r(j) wrt j.
-6*j - 4
Suppose -5 = -5*p + 20. Suppose 0 = 2*n - p - 5. What is the third derivative of 3*z**2 + z**n - z**2 - 2*z**5 wrt z?
-60*z**2
Let f(w) be the third derivative of -w**8/560 - w**6/180 - w**3/2 + 5*w**2. Let y(o) be the first derivative of f(o). Find the third derivative of y(r) wrt r.
-72*r
Let g(n) be the second derivative of 0 - 3*n + 0*n**2 + 1/6*n**3 + 1/4*n**4. What is the second derivative of g(y) wrt y?
6
Let v(x) be the third derivative of 5*x**8/336 - x**5/60 - 6*x**2. Find the third derivative of v(n) wrt n.
300*n**2
Let h be 62/6 - (-4)/(-12). Suppose -z = -2*c + h, -5*c + 5*z + 23 = -4*c. What is the second derivative of 7*j - 3*j - j**5 - c*j wrt j?
-20*j**3
Let z(i) = 9*i**2 + 3*i. Let b(v) = v**2 - v + 3. Let p be b(0). Let s(a) = 5*a**2 + 2*a. Let j(d) = p*z(d) - 5*s(d). Find the second derivative of j(h) wrt h.
4
Let d(b) be the first derivative of -3*b**8/56 + b**4/6 - b - 3. Let z(k) be the first derivative of d(k). Find the third derivative of z(y) wrt y.
-360*y**3
Let m = 5 - 3. Let u be m/(-4) - (-36)/8. What is the second derivative of -y + 2*y + y**u - 2*y wrt y?
12*y**2
Suppose 3*c - 6*c = -9. Find the second derivative of -1 - 3*i - c*i**2 + 4 - 3 wrt i.
-6
Let m(j) be the third derivative of 5*j**4/4 - 13*j**3/6 - 27*j**2. Differentiate m(t) wrt t.
30
Let a(r) be the first derivative of -2 - r**3 - 3/4*r**4 + 0*r + 0*r**2. What is the third derivative of a(l) wrt l?
-18
What is the second derivative of -71*d**5 + 78*d**5 + d + d wrt d?
140*d**3
Find the second derivative of -u**2 + 0*u + 0*u + u wrt u.
-2
Find the first derivative of -2*o**4 - 5*o**4 - 10*o**4 - 6 wrt o.
-68*o**3
Let c = -76 + 80. Let r(w) be the third derivative of 1/30*w**5 - 1/12*w**c + 0 - 3*w**2 + 0*w**3 + 0*w. What is the second derivative of r(n) wrt n?
4
Let d(q) = -q**5 + q**4 + q**3 - q**2. Let k(u) = -4*u**5 - 3*u**4 - 3*u**3 + 3*u**2 - u. Let c(a) = 3*d(a) + k(a). What is the second derivative of c(p) wrt p?
-140*p**3
What is the first derivative of -2 + 2 + 8*i - 8 wrt i?
8
Let h(l) be the second derivative of -19*l**3/6 - 45*l**2/2 + 14*l. Find the first derivative of h(i) wrt i.
-19
Let t(g) = 4*g + 1. Let j be t(1). Suppose o - j = i, -4*o = -i - 6 - 5. Find the second derivative of -2*s - 2*s**5 - s + 5*s + o*s wrt s.
-40*s**3
Suppose 0 = -3*n, -2*z - n + 4 = -0*z. What is the third derivative of 3*u + 3*u**2 + z*u - 5*u + 2*u**4 wrt u?
48*u
Suppose -5*c = 3*h - 1, 5*h + 0 = -2*c + 8. Suppose 0 = -0*p - h*p. Differentiate -4 + 3 - m + p*m - 2*m with respect to m.
-3
Let o be -162*2/(-4)*1. What is the second derivative of -o*n**4 + 3*n + n + 84*n**4 wrt n?
36*n**2
Let r(d) be the second derivative of -d**5/4 + d**3/6 - d**2 + 46*d. Differentiate r(k) with respect to k.
-15*k**2 + 1
Let a(n) be the third derivative of 0*n**5 + 1/6*n**4 + 0*n**3 + 0*n - n**2 + 0 - 1/60*n**6. Find the second derivative of a(t) wrt t.
-12*t
Let i(k) = -33*k**2 + 5*k + 13. Let w(p) = p**2 + p + 1. Let h(a) = -i(a) + 6*w(a). Find the second derivative of h(f) wrt f.
78
Let i(h) be the second derivative of 5*h**3/6 + 4*h**2 + 3*h. What is the derivative of i(l) wrt l?
5
Suppose 2*s - 4 = 4. What is the third derivative of 3*l**5 - 2*l**5 + 3*l**5 - s*l**2 + l**5 wrt l?
300*l**2
Let b(k) be the second derivative of 25*k**3/6 - 20*k**2 - 40*k. What is the derivative of b(h) wrt h?
25
Let v(u) = -u. Let s be v(-2). Suppose 0 = s*o + 3*o - 25. Find the third derivative of 9*y**3 + y**o - 9*y**3 - y**2 wrt y.
60*y**2
Suppose 4*c + 0*c - 12 = 0. What is the third derivative of 2*d**2 - 14*d**3 + 8*d**c + 5*d**3 wrt d?
-6
Let t(d) be the first derivative of 33*d**5/5 - 4*d**3 + 34. Find the third derivative of t(o) wrt o.
792*o
Let i(p) be the second derivative of -p**5/30 - p**4/6 + 3*p**2 - 5*p. Let t(q) be the first derivative of i(q). Find the second derivative of t(v) wrt v.
-4
Let r(j) be the first derivative of -7*j**5/5 + j**3 + 8. Find the third derivative of r(d) wrt d.
-168*d
Let k(p) be the third derivative of -p**9/126 + 3*p**5/20 + 12*p**2. What is the third derivative of k(b) wrt b?
-480*b**3
Find the second derivative of 4*j**2 - j + 9*j**2 - 3*j**2 - 4*j**2 wrt j.
12
Let k(o) be the second derivative of -o**6/30 + o**4/8 + o**2/2 - 2*o. Let f(q) be the first derivative of k(q). What is the second derivative of f(i) wrt i?
-24*i
Let j(t) = -t**2 - t + 1. Let d be (-2 + (0 - -1))*4. Let q(z) = z**4 - 4*z**2 - z + 4. Let k(s) = d*j(s) + q(s). Find the second derivative of k(n) wrt n.
12*n**2
Let q = 3 - -1. Let r be (-3)/(q/((-20)/3)). What is the third derivative of 2*m**2 - 4*m**r + m**5 + 0*m**2 wrt m?
-180*m**2
Let y(d) be the third derivative of 0 + 0*d**4 + 0*d**5 + 1/3*d**3 + 0*d**6 + d**2 - 1/70*d**7 + 0*d. What is the derivative of y(n) wrt n?
-12*n**3
Let i(g) = 35*g**4 + 15*g - 11. Let t(n) = 12*n**4 + 5*n - 4. Let v(y) = -4*i(y) + 11*t(y). What is the second derivative of v(q) wrt q?
-96*q**2
Find the second derivative of 26*q - 23*q**2 - q + 2*q wrt q.
-46
Let p(v) be the first derivative of -5/2*v**2 - 2*v + 2. Differentiate p(y) with respect to y.
-5
Let t be 1/(1/(-2 + 4)). Find the third derivative of t*a**3 + 0*a**2 + 0*a - 4*a**2 + 0*a wrt a.
12
Let z(k) = -k. Let r(p) = -7*p**3 + 4*p + 3. Let n(b) = r(b) + 4*z(b). What is the derivative of n(x) wrt x?
-21*x**2
Suppose -5*f = 6 - 16, 2*l - 14 = -2*f. Let u = -1 + l. What is the third derivative of u*r - 4*r + r**2 + 0*r + 4*r**6 wrt r?
480*r**3
Let s(m) = -m**4 + m**3 - m**2 + m + 1. Let w(j) = -3*j**3 + 3*j**2 + j - 3. Let x(q) = 6*s(q) + 2*w(q). Find the second derivative of x(t) wrt t.
-72*t**2
Let c(d) be the second derivative of d**6/5 - d**4 + 34*d. Find the third derivative of c(q) wrt q.
144*q
Let j(z) = z + 1. Let x = 7 - 2. Let g = 6 - x. Let t(f) = -2*f - 1. Let d(b) = g*t(b) - j(b). Find the first derivative of d(n) wrt n.
-3
Suppose -3*r + 11 = 2. Let d(x) be the third derivative of 1/3*x**3 + 0*x + 0*x**4 + 1/20*x**5 + 0 - r*x**2. Find the first derivative of d(p) wrt p.
6*p
Let m(w) be the first derivative of 3/2*w**2 - 1 - w. What is the derivative of m(l) wrt l?
3
Let q(n) = -n**2 + n. Let w(y) = y**3 + 4*y**2 + y. Let o(x) = 4*q(x) + w(x). What is the second derivative of o(s) wrt s?
6*s
Let b(p) be the second derivative of 7*p**5/20 + p**4/4 - 4*p. Find the third derivative of b(i) wrt i.
42
What is the second derivative of 6*g**4 + 9*g**4 + 19*g**5 - 15*g**4 - 20*g wrt g?
380*g**3
Let s = -1 - -13. What is the third derivative of -2*k**3 + 16*k - s*k + 4*k**2 - 4*k wrt k?
-12
Differentiate -10*d + 0*d + 6*d + 29 - 12*d wrt d.
-16
Let t(x) be the second derivative of -13*x**5/10 + x**4/2 + 25*x. What is the third derivative of t(q) wrt q?
-156
What is the first derivative of 30 - 13 - 671*t + 647*t wrt t?
-24
Let x(w) = -w**6 + w**5 + w**3 + 1. Let q(k) = 25*k**6 + 4*k**5 + 4*k**3 - 5*k**2 + 4. Let d(o) = q(o) - 4*x(o). Find the third derivative 