he third derivative of h(r) wrt r?
162
Differentiate -13*n**3 - 284 + 6*n**3 + 5*n**3 + 325*n**2 + 0*n**3 - 174 with respect to n.
-6*n**2 + 650*n
Suppose -2*l - 50 = -3*r, 2*r - 28 = r - 5*l. Let o be (-17)/(-4) + r/24. Find the third derivative of -6*y**o - 4*y**2 + 8*y**5 + 5*y**2 wrt y.
120*y**2
What is the second derivative of -19*j**5 + 15*j**5 + 47*j**4 - 143*j + 9*j - 36*j**4 wrt j?
-80*j**3 + 132*j**2
Differentiate -108*w - 6 - 46 + 61*w + 57*w wrt w.
10
Find the first derivative of -43 - 31 + c**2 - 50*c**4 + 131 - 40*c**4 wrt c.
-360*c**3 + 2*c
Suppose 2*p = -4*w + 20, -3*p - 33 = 14*w - 17*w. Let g(z) be the second derivative of -7/2*z**2 + 0 + w*z + 1/6*z**3. Differentiate g(i) wrt i.
1
What is the derivative of -5*i + 5*i + 103 - 134*i**4 + 137 wrt i?
-536*i**3
Let i(d) = d**2 - d - 1. Let a(x) = 137*x**2 - 6*x - 23. Let p(q) = -a(q) + 6*i(q). Differentiate p(f) wrt f.
-262*f
Let f(s) be the third derivative of -221*s**6/40 - 71*s**4/12 - s**3/2 - 299*s**2. Find the second derivative of f(n) wrt n.
-3978*n
Let z = -27 + 34. Find the third derivative of 19*c**2 + c**6 - z*c**6 - 8*c**6 wrt c.
-1680*c**3
Find the second derivative of 90*r - 31*r**5 + 2*r**5 - 96*r**5 wrt r.
-2500*r**3
Let g(y) be the first derivative of y**4/4 - 22*y**3/3 - y**2/2 + 66. Find the third derivative of g(b) wrt b.
6
Let y(r) = r**2 - 9*r + 24. Let s be y(5). Differentiate -4*z**s - 10*z + 10*z + 6 - 30 with respect to z.
-16*z**3
Let v(n) = -21*n**3 - 37*n + 6. Let d(f) = 13 + f**3 - 6*f**3 - 36*f**3 + 13*f - 87*f. Let l(b) = 6*d(b) - 13*v(b). Find the second derivative of l(t) wrt t.
162*t
Find the third derivative of -62*s**2 + 6*s**6 + 310*s**3 - 15*s**6 - 311*s**3 - 17*s**6 wrt s.
-3120*s**3 - 6
Suppose 0 = 2*t + 2*g - 18, 0*t + 29 = 4*t - 3*g. Differentiate -185*p**3 + 185*p**3 + t*p**4 + 33 with respect to p.
32*p**3
Let d(h) = 105*h**2 - 32*h + 3. Let w(l) = 106*l**2 - 32*l + 4. Let r(x) = 7*d(x) - 6*w(x). Find the second derivative of r(g) wrt g.
198
Let o(l) = -20*l**4 - 30*l**3 - 13*l**2 - 75. Let d(f) = -10*f**4 - 15*f**3 - 7*f**2 - 38. Let u(r) = 11*d(r) - 6*o(r). Find the third derivative of u(b) wrt b.
240*b + 90
Let h(a) = 19*a**3 - 13*a + 8. Let b = 42 + -34. Let f(u) = -6*u**3 + 4*u - 3. Let v(w) = b*f(w) + 3*h(w). What is the second derivative of v(p) wrt p?
54*p
Suppose 0 = 5*f - f. Suppose -5*o + 56 = 4*y, o + f*y - 8 = -4*y. What is the second derivative of 14*q**4 + 4*q - o*q - 2*q**4 - q wrt q?
144*q**2
Let o(g) = 6*g**3 + 38*g**2 + 15*g - 331. Let l(m) = 6*m**3 + 37*m**2 + 12*m - 330. Let i(k) = 5*l(k) - 4*o(k). What is the derivative of i(n) wrt n?
18*n**2 + 66*n
Let s(h) = -h**3 - 3*h - 386. Let z(r) = -r**3 - 2*r - 386. Let f(x) = -6*s(x) + 7*z(x). Differentiate f(d) with respect to d.
-3*d**2 + 4
Let k(h) be the first derivative of -4*h**7/7 - 5*h**4/2 + 38*h**3/3 - 90. What is the third derivative of k(n) wrt n?
-480*n**3 - 60
Let s = -12 - -18. Let u be (s/(-9))/(4/(-42)). Find the second derivative of -10*z**2 + 9*z**2 - 5*z + u*z**2 wrt z.
12
Let o(u) be the second derivative of u**7/105 - 7*u**4/12 - 11*u**2/2 - 6*u. Let v(c) be the first derivative of o(c). Find the second derivative of v(s) wrt s.
24*s**2
Let v = 89 + -63. Suppose 5*s = -r - r + v, -s - 3*r = -13. What is the derivative of -4*d - 2 - 3*d - 3 + s*d wrt d?
-3
Let c = -10 - -16. Suppose 0 = -5*v + 5*l + 10, -2*l - l - c = 0. Find the first derivative of -7*a**3 + v*a**3 + 51 - 47 wrt a.
-21*a**2
Find the second derivative of -26*q**3 - 5*q**3 - 70*q - 5 + 57*q - q**4 wrt q.
-12*q**2 - 186*q
Let s(d) be the second derivative of -22*d + 25/6*d**3 + 0 + 17/2*d**2. Find the first derivative of s(c) wrt c.
25
Let k be (1 - 1)/(0 + -1). Let f = 48 - 48. What is the derivative of 0 + k*w - 2*w + f*w + 3 wrt w?
-2
Let k = -44 - -46. What is the second derivative of 7*r**2 - 141*r + 115*r + 7*r**k wrt r?
28
Let v(i) = 202*i**3 - 6*i**2 + 3*i + 174. Let y(f) = 203*f**3 - 8*f**2 + 4*f + 177. Let r(l) = -4*v(l) + 3*y(l). Differentiate r(d) wrt d.
-597*d**2
Let s = -39 + 49. Differentiate -s + 5 - 2 - 2*p**3 - 2 with respect to p.
-6*p**2
Let h(q) be the first derivative of -q**7/21 + q**5/15 - 9*q**2/2 + 13. Let c(n) be the second derivative of h(n). Find the third derivative of c(y) wrt y.
-240*y
Let l = 12 + -10. Let q = l + 0. What is the derivative of 3 - 2*w**2 - w**q + 17*w - 17*w wrt w?
-6*w
Let c(j) = 4*j**2 - 3. Let b = -23 + 28. Let n(f) = -8*f**2 + 7. Let w(g) = b*c(g) + 3*n(g). What is the derivative of w(x) wrt x?
-8*x
Let k(c) = 694*c**3 + 515*c**2 - 4*c. Let i(b) = -2*b**2 - 2*b. Let y(j) = 2*i(j) - k(j). What is the third derivative of y(z) wrt z?
-4164
Suppose 1738 = 17*b + 1687. Let t(a) be the second derivative of -2/3*a**b + 0*a**4 - 2/5*a**5 + 0*a**2 + 0 - 5*a. What is the second derivative of t(r) wrt r?
-48*r
Let n = 18 - 17. Suppose -4*x = 20, -3*g + 2*x = 3*x - n. Find the second derivative of -h**5 + 0*h**2 + 9*h**5 + 5*h + 0*h**g wrt h.
160*h**3
Find the third derivative of 199*r**6 + 37*r**6 + 289*r**2 - 34*r**2 wrt r.
28320*r**3
Let h(y) be the second derivative of 42*y + 0*y**2 + 0*y**6 - 1/12*y**4 + 1/42*y**7 + 0*y**5 - 3/56*y**8 + 0 - y**3. What is the third derivative of h(t) wrt t?
-360*t**3 + 60*t**2
What is the second derivative of 102*n**5 + 55*n**5 - 30*n - 96*n wrt n?
3140*n**3
Find the first derivative of 41 - 20*z + 6*z + 7*z**3 + 60 + 8*z wrt z.
21*z**2 - 6
Let w = -27 + 8. Let f = w + 22. What is the derivative of 10 + 10*c**3 - 2 + f - 5 wrt c?
30*c**2
Differentiate -1672*y**3 + 43 + 3164*y**3 - 1686*y**3 with respect to y.
-582*y**2
Suppose -3*a + 4*a - 4 = 0. Suppose 0 = -5*r + 2*u + 20, -a*r + 7*u + 9 = 4*u. What is the second derivative of -2*n**4 + r*n**4 - n - 2*n wrt n?
48*n**2
What is the third derivative of 14*m**2 + 4*m**2 - 6 + 32*m**5 + 5 wrt m?
1920*m**2
Let d(k) = 5*k**5 + 8*k**2 - 3*k - 25. Let f(j) = -2*j**5 + j. Let p(a) = -d(a) - 2*f(a). Find the second derivative of p(n) wrt n.
-20*n**3 - 16
Suppose -2*w - i - 5 = -6*w, 0 = -3*w - 3*i + 15. Find the first derivative of z**w + 3*z**2 + 1 - z + z wrt z.
8*z
What is the second derivative of 11*q + 63*q + 42*q - 12*q + 90*q**2 wrt q?
180
Let d = 41 - 38. What is the second derivative of 2*i**3 - 14*i - 4*i**3 + 8*i**3 + i**d wrt i?
42*i
Find the third derivative of 587 + 2*w**2 + 2*w**6 - w**6 + 35*w + 36*w**4 - 587 wrt w.
120*w**3 + 864*w
What is the third derivative of 45*a**5 + 22 - 2*a**4 - 470*a**2 - 22 - 10*a**5 - 300*a**2 wrt a?
2100*a**2 - 48*a
Let t(x) = -x**3 - 5*x**2 + x + 4. Let j be t(-4). Let h be (54/(-24))/(6/j). Differentiate -4 - 2 + 0 + h*w with respect to w.
6
Find the third derivative of 7*k**2 + 739*k**3 + 721*k**3 - 1393*k**3 wrt k.
402
Suppose 3*c = 1 + 11. What is the third derivative of 11*t**4 - t**4 + 18*t**2 + c*t**4 + 2*t**4 wrt t?
384*t
Let l be (-5)/(-30) + (-238)/(-12). Suppose 0*n = 5*n - l. Find the third derivative of 0 - 2*i**4 - 5*i**2 + 4*i**n + 0 wrt i.
48*i
Let g(u) = -4 + 1 + 2*u - 5. Let f = 398 - 395. Let k(h) = -1. Let s(q) = f*k(q) + g(q). What is the first derivative of s(l) wrt l?
2
Find the first derivative of 16*j**4 + 0*j**4 - 205*j**2 + 266 - 13*j**4 - 5*j**4 wrt j.
-8*j**3 - 410*j
Let w(c) be the first derivative of -2*c**5/5 - 49*c**2/2 + 84. Find the second derivative of w(x) wrt x.
-24*x**2
Let n(w) be the third derivative of 33*w**5/10 - 3*w**4/8 - 2*w**3/3 - 2*w**2 - 107. What is the second derivative of n(o) wrt o?
396
Let v(t) = -t + 20. Let i be v(8). Suppose -i = -9*k + 7*k. Differentiate 11 - k + 4*d**2 + 1 wrt d.
8*d
Let t = -4 - -11. Suppose 5*d - 1 = 19. What is the second derivative of -4*z**5 - 3*z + t*z**5 - 5*z**4 + 5*z**d wrt z?
60*z**3
Suppose 20*t - 24*t = -8. Find the second derivative of 18*v**2 - v**4 - 42*v + 4*v**2 - 5*v**t wrt v.
-12*v**2 + 34
Let t(x) be the first derivative of -67*x**2/2 + 4*x + 90. Differentiate t(p) wrt p.
-67
Suppose 9 = -2*j + 5*j. What is the third derivative of -3*a + j*a - 4*a**2 - 9*a**2 + 2*a**6 wrt a?
240*a**3
Suppose 2 = -2*p - 3*q, -2*p - 2*p - 5*q - 2 = 0. Find the second derivative of 3*j - 5*j**4 + 13*j**4 - p*j**4 wrt j.
72*j**2
Let c(w) = 46 + w**2 + 0*w - 7*w - 52. Let x be c(9). What is the derivative of 3*f**3 + 1 - x*f**3 + 7 wrt f?
-27