+ a**6 + 2*a + 4*a**6 - 2*a wrt a.
600*a**3
Let y be 80/(-14) - 4/14. Let o(s) = s**2 + 6*s + 5. Let n be o(y). What is the third derivative of d + 13*d**n - 5*d**5 - 4*d**2 - d wrt d?
480*d**2
Let b(s) be the second derivative of 3/2*s**4 + 0 + 0*s**3 + 31*s + 0*s**5 - 13/30*s**6 + 0*s**2. Find the third derivative of b(k) wrt k.
-312*k
Find the third derivative of -289*p**4 + 14*p**3 + 7*p**2 - 1 - 16*p**3 + 281*p**4 wrt p.
-192*p - 12
Let t be 870/580 - (0 - 1). Let c(x) be the second derivative of 0 + 0*x**4 + 15*x + 3/5*x**5 + 0*x**2 + t*x**3. Find the second derivative of c(i) wrt i.
72*i
Find the third derivative of -173 + 69*k**6 + 7*k**2 + 175 + 9*k**2 wrt k.
8280*k**3
Let q be (-3)/(-1) - (1 - 2). Suppose -2 = 2*r - 3*r. What is the third derivative of 5*w**2 + 4*w - 6*w**r + 2*w**4 - q*w wrt w?
48*w
Let i = 39 + -38. Differentiate -6*l**4 - i + l**4 - 8 + 24*l**4 wrt l.
76*l**3
Let g(b) = -2*b**2 - 2*b - 4. Let m(d) = -626*d**2 + 4*d - 105. Let h(s) = 2*g(s) + m(s). Differentiate h(w) wrt w.
-1260*w
Let z(x) be the second derivative of -121*x**5/20 - 39*x**2 + 26*x. Differentiate z(p) with respect to p.
-363*p**2
Find the second derivative of -10*o**2 - 34*o - 40*o - 80*o**3 + 22*o**2 - 13*o**2 wrt o.
-480*o - 2
Let m(c) = -3*c**4 - c**3 + c - 1. Let l(r) = 19*r**4 - 8*r**3 - 154*r + 6. Let v(z) = -l(z) - 6*m(z). Find the second derivative of v(b) wrt b.
-12*b**2 + 84*b
Let u(q) = -q**3 - 4*q**2 + 4*q - 3. Let o = 22 - 27. Let d be u(o). Find the second derivative of -d*v + 4*v + 7*v + 3*v**4 wrt v.
36*v**2
Let g(z) be the first derivative of 577*z**4/4 + 2*z**3/3 + 11*z**2 + 524. What is the third derivative of g(q) wrt q?
3462
What is the third derivative of 2*z**2 + 300*z**3 - 12270 + 12270 - 20*z wrt z?
1800
Differentiate 13*i**4 + 422 + 20*i**4 - 551 + 25*i**4 with respect to i.
232*i**3
Let t(z) = 2*z**2 - 12. Suppose 3*k + 10 = 1. Let n(h) = 4*h**2 - 25. Let b(p) = k*n(p) + 7*t(p). Find the first derivative of b(v) wrt v.
4*v
What is the first derivative of 26*o**2 + 42*o**2 + 28 - 8*o**2 + 2*o**2 wrt o?
124*o
Let q(y) = y + 7. Let v be q(-4). Let h(z) = -9*z - 11. Let l(u) = -8*u - 11. Let s(n) = v*h(n) - 4*l(n). What is the first derivative of s(i) wrt i?
5
Let w = 9253/260 - 462/13. Let t(l) be the second derivative of 2/3*l**3 - 3*l + 0*l**4 + w*l**5 + 0 + 0*l**2. What is the second derivative of t(y) wrt y?
6*y
Let l(n) = n**3 + n. Let f(z) = -2 - 1 - 4*z + 3 - 3*z**3. Suppose 2*i - 6 = 3*i. Let s(m) = i*l(m) - f(m). What is the second derivative of s(w) wrt w?
-18*w
Suppose q - 7*q = -30. Differentiate q - 1 + 2*l**4 + 18*l**4 with respect to l.
80*l**3
Let b(p) be the second derivative of -13*p**6/15 + p**5/20 + 3*p**3 + 3*p - 8. What is the second derivative of b(u) wrt u?
-312*u**2 + 6*u
Find the third derivative of 12 + r**4 + 23*r**2 + 12 - 267*r**6 - r**4 - 12*r**2 wrt r.
-32040*r**3
Suppose -2*p = 4*k - 36, 0 = -2*p + k + 4*k. What is the third derivative of 0*z**5 - 13*z**2 + p*z**2 + 3*z**5 wrt z?
180*z**2
Let f(g) be the second derivative of 47*g**7/14 + 49*g**4/12 + g**2/2 + 8*g - 1. Find the third derivative of f(d) wrt d.
8460*d**2
Let v(t) be the third derivative of 0*t**6 + 0*t**4 - 5/12*t**5 + 31/336*t**8 + 0*t**3 + 0*t + 0*t**7 + 0 + 34*t**2. What is the third derivative of v(o) wrt o?
1860*o**2
Let m(t) be the third derivative of 5*t**8/84 + t**5/15 + t**3/3 + 14*t**2. What is the third derivative of m(s) wrt s?
1200*s**2
Let g(b) = 65*b**3 + 2*b - 110. Let t(v) = -196*v**3 - 7*v + 332. Let a(d) = 7*g(d) + 2*t(d). Differentiate a(w) with respect to w.
189*w**2
Let h(k) be the first derivative of k**7/42 - 2*k**4/3 + 2*k + 5. Let z(g) be the first derivative of h(g). Find the third derivative of z(j) wrt j.
60*j**2
Let w(k) = -k - 1. Let s(d) = -2*d - 10*d**2 - 2*d + 2 - 7*d. Let y(o) = -s(o) - 2*w(o). Find the second derivative of y(b) wrt b.
20
What is the derivative of -5 - 55 - 29 - x**3 + 59*x wrt x?
-3*x**2 + 59
Suppose 0*m = -5*k + 4*m + 28, 3*k - 4*m = 20. Suppose -4*o - 2*o = -36. What is the third derivative of -5*h**6 - k*h**6 + 6*h**o + h**2 wrt h?
-360*h**3
Let c(p) be the first derivative of -407*p**4/4 - 2*p**3/3 + 159*p**2 - 659. What is the second derivative of c(t) wrt t?
-2442*t - 4
Let g(p) = -26*p**3 + 10*p**2 + 11*p - 90. Let q(c) = -9*c**3 + 3*c**2 + 4*c - 30. Let a(m) = 4*g(m) - 11*q(m). What is the derivative of a(n) wrt n?
-15*n**2 + 14*n
Find the second derivative of 6 + 89*s**2 - 12*s - 8*s + 21*s wrt s.
178
What is the second derivative of -425*b**5 + 486*b + 308*b**5 + 292*b**5 wrt b?
3500*b**3
Let i(m) = m - 9. Let p(c) = -2*c + 17. Let k(y) = -5*i(y) - 3*p(y). Let w be k(8). Find the first derivative of -8 + 2*n**2 - 4*n**4 - 4*n**4 - w*n**2 wrt n.
-32*n**3
Let k(a) be the third derivative of 65*a**8/336 - 47*a**5/30 - a**3/3 + 155*a**2. Find the third derivative of k(g) wrt g.
3900*g**2
Let i(f) be the first derivative of f**8/560 + 5*f**4/8 + 19*f**3/3 + 4. Let k(h) be the third derivative of i(h). Differentiate k(y) with respect to y.
12*y**3
Let b(r) = -82*r**3 - 8*r**2 + 153*r - 7. Let h(v) = -27*v**3 - 3*v**2 + 51*v - 3. Let u(o) = -3*b(o) + 8*h(o). Find the second derivative of u(n) wrt n.
180*n
Suppose -5*x = 15, 0*x + 4*x + 4 = -2*y. What is the second derivative of 5*n - 27*n**y + 6*n**4 - 2*n + 23*n wrt n?
-252*n**2
Let g = 27/44 + -361/660. Let v(j) be the third derivative of 3/2*j**3 - 8*j**2 + 0*j + 0 - g*j**5 + 0*j**4. What is the derivative of v(n) wrt n?
-8*n
Let v(g) be the second derivative of g**9/2520 + g**7/280 - 11*g**4/12 + 8*g. Let i(x) be the third derivative of v(x). Find the third derivative of i(r) wrt r.
144*r
Find the first derivative of 3 - 2*q**2 + 58 + 6 + 174 + 10*q - 2*q**2 wrt q.
-8*q + 10
Let n(o) be the first derivative of -72*o**5/5 - 87*o + 17. Differentiate n(p) with respect to p.
-288*p**3
Let p(n) be the second derivative of -25*n**3/3 + 58*n**2 + 12*n. Differentiate p(u) wrt u.
-50
Let k(c) be the first derivative of c**3 - 59*c**2/2 + 526*c - 657. What is the derivative of k(h) wrt h?
6*h - 59
Differentiate 8*o - 89 - 162*o - 137*o - 57*o - 3 with respect to o.
-348
Let u(l) be the second derivative of -6*l + 0 + 0*l**4 - 5/21*l**7 + 0*l**2 + 4/3*l**3 + 0*l**6 + 0*l**5. Find the second derivative of u(d) wrt d.
-200*d**3
Suppose -4*b + 64 = -2*o, -3*b + 0*o + 37 = 4*o. Suppose -2*k - 2*v = v + b, -4*k = 2*v + 10. Find the first derivative of k - 1 + 6*m - 6*m - 2*m**2 wrt m.
-4*m
Suppose 0 = -0*m - 4*m + 4. Let b = 4 - m. Find the second derivative of 2*o - 14*o**2 + 29*o**2 - 7*o**2 + b*o wrt o.
16
Find the third derivative of 7161*r**4 - 7161*r**4 + 22*r**2 - 1 - 484*r**6 wrt r.
-58080*r**3
Let b(w) = -w**2 - 17*w - 69. Let j be b(-9). Let u(d) be the first derivative of 0*d**j + 7 + 0*d**2 - 10*d + 5/2*d**4. Differentiate u(k) wrt k.
30*k**2
What is the derivative of -97*d - 16 - 140*d - 44 + 99*d wrt d?
-138
Find the third derivative of -2*z**3 + 259*z**2 - 2744*z**4 + 366*z**2 + 2744*z**4 + 50*z**5 wrt z.
3000*z**2 - 12
Let w(x) be the second derivative of -34*x**6/3 + 195*x**2/2 - 65*x + 2. Find the first derivative of w(u) wrt u.
-1360*u**3
Let h(p) be the second derivative of 7/6*p**3 + 0 + 5/4*p**4 + 0*p**2 + 8*p. What is the second derivative of h(z) wrt z?
30
Find the third derivative of 372*n**4 + 201*n**2 + 10*n**2 + 347*n**4 - 750*n**4 wrt n.
-744*n
Let m(l) = 1144*l**5 + 14*l**4 + 1013*l + 7. Let b(x) = -572*x**5 - 6*x**4 - 506*x - 3. Let j(d) = -7*b(d) - 3*m(d). Find the second derivative of j(q) wrt q.
11440*q**3
Let u(r) = 2019*r**5 - 11*r**2 - 2635*r + 11. Let c(s) = -673*s**5 + 4*s**2 + 878*s - 4. Let y(j) = 11*c(j) + 4*u(j). Find the second derivative of y(t) wrt t.
13460*t**3
Let q(c) be the first derivative of -c**4/4 + 5*c**3/3 - 2*c**2 + 3*c - 53. What is the second derivative of q(m) wrt m?
-6*m + 10
Let f be 18 + (-3 - -1) + (3 - 1). What is the derivative of 6*h**3 - f - 11*h**3 + 0*h**3 wrt h?
-15*h**2
Let y(u) = -10*u**6 + 10*u**3 - 15*u**2 + 10*u + 10. Let j = 9 - 19. Let w(z) = z**3 + z + 1. Let t(b) = j*w(b) + y(b). Find the third derivative of t(h) wrt h.
-1200*h**3
Let d(t) be the third derivative of -11*t**7/2520 + t**5/10 + t**4/12 + 4*t**2. Let s(q) be the second derivative of d(q). W