espect to n.
7
Let q(n) be the third derivative of 0*n**4 + 1/120*n**6 + 2/3*n**3 + 18*n**2 + 0 + 0*n**5 + 0*n. Differentiate q(b) wrt b.
3*b**2
Let p(v) = 12*v + 10. Let c(u) = u - 1. Let t(i) = -4*i - 2. Let z be t(0). Let k(y) = z*c(y) + p(y). Differentiate k(d) with respect to d.
10
Suppose -4*d + 10 = 2*i, 5*i - 16 = 2*d - 3. Let z be 13/i - (-20)/30. What is the third derivative of -a**2 + 11*a - 11*a - z*a**2 - 4*a**5 wrt a?
-240*a**2
Let k(b) be the first derivative of -306*b**5/5 + 208*b - 82. Find the first derivative of k(i) wrt i.
-1224*i**3
Find the first derivative of 154*j + 172*j - 467*j - 360 + 172*j wrt j.
31
Let g(k) be the first derivative of k**5/60 - 3*k**4/8 + 4*k**3/3 - 7. Let i(w) be the third derivative of g(w). What is the first derivative of i(y) wrt y?
2
Let f(h) = 2*h - 1. Let b be f(0). Let y be (-1 + b)*(-5 - -4). Find the second derivative of y - 39*u + 3*u**3 - 2 + 36*u wrt u.
18*u
Let n be (-4)/(-2) + 4/1. What is the third derivative of -n*g**2 - 10*g**6 - 10*g**6 + 6*g**6 wrt g?
-1680*g**3
What is the second derivative of 471*y**5 - y + 3*y - 505*y**5 - 94*y wrt y?
-680*y**3
Let d = -4 + 6. Suppose d*j + j - 6 = 0. Find the third derivative of -f**4 - j*f**2 + 13 - 13 wrt f.
-24*f
Let j = -5 + 9. Suppose -1 = -y + j. What is the second derivative of 6*v**5 + 9*v - 5*v**5 - v**5 + 9*v**y wrt v?
180*v**3
Let o(g) be the third derivative of -5*g**9/252 - 13*g**5/30 - g**3/2 + 98*g**2. What is the third derivative of o(b) wrt b?
-1200*b**3
Let l be -10 + -1*0/3. Let h = l + 12. Find the third derivative of 4*s**h - 6*s**3 - s**3 - 10*s**2 wrt s.
-42
What is the first derivative of 1318 - 80*b**3 - 681 - 678 wrt b?
-240*b**2
Let q(d) be the first derivative of 7*d + 12 + 0*d**2 + 5/2*d**4 + 0*d**3. Differentiate q(m) with respect to m.
30*m**2
Let u be (2/(-1))/(6/(-9)). Suppose p = -p. What is the second derivative of u*g + 0*g**4 + p*g**4 - 3*g**4 wrt g?
-36*g**2
Suppose 0*b - 2*b = 4*h + 28, -h - 3*b = 2. Let s be 6/(-4)*h/6. What is the second derivative of -s*t + 7*t + 3*t**5 - 7*t**5 + 4*t wrt t?
-80*t**3
Let i(b) = -6*b - 5. Let z(o) = 45*o + 36. Let d(a) = 27*i(a) + 4*z(a). Differentiate d(x) with respect to x.
18
Differentiate 21*a**2 + 45*a - 49*a - 68 + 6*a**2 wrt a.
54*a - 4
Suppose 0 = 8*x - 9*x + 4. What is the third derivative of -10*j**2 - x*j**2 + 189*j**3 - 188*j**3 wrt j?
6
Suppose c - 52 = -16. What is the second derivative of -5*h - 6*h - 7*h + 2*h - c*h**2 wrt h?
-72
Let v(i) = 5*i**5 - 2*i**3 - 5*i + 9. Let c(m) = 10*m**5 - 5*m**3 - 12*m + 19. Let t(k) = -2*c(k) + 5*v(k). Find the second derivative of t(x) wrt x.
100*x**3
Let q(t) = t**3 + 3 + 2 - 4. Let h(c) = 14*c**3 - 4*c + 2. Let g(a) = h(a) - 2*q(a). Find the second derivative of g(r) wrt r.
72*r
Let v(o) be the first derivative of -5*o**4/4 - 3*o**2/2 - 93*o + 50. Differentiate v(d) with respect to d.
-15*d**2 - 3
Let x(z) = 7*z**3 + 9*z**2. Let d(o) = 54*o**2 - 16*o**2 + 322*o**2 + 279*o**3. Let t(q) = 2*d(q) - 81*x(q). What is the third derivative of t(l) wrt l?
-54
Find the second derivative of -8 - c**2 + 17*c**3 - 2*c + 11*c**3 - 35 - 37 + 4*c**3 wrt c.
192*c - 2
Let m(v) = 2*v**3 - v**2 + 2*v + 2. Let p be m(-1). Let i = 7 + p. What is the third derivative of -2*l**4 + 0*l**i + 7*l**2 - 14*l**2 wrt l?
-48*l
Let j(c) be the second derivative of 22/15*c**6 + 0 + 47*c + 0*c**5 - 10/3*c**3 + 0*c**4 + 0*c**2. Find the second derivative of j(g) wrt g.
528*g**2
Let i(d) = 294*d + 133. Let w(n) = -882*n - 401. Let z(m) = 8*i(m) + 3*w(m). What is the derivative of z(j) wrt j?
-294
Find the first derivative of 509*h**3 + 585*h**3 - 18 + 608*h**3 - 1451*h**3 wrt h.
753*h**2
Let p(c) be the third derivative of c**6/40 + 13*c**5/60 + c**4/4 + 14*c**3/3 - 403*c**2. What is the second derivative of p(k) wrt k?
18*k + 26
Differentiate -12*n**4 + n**2 + 141 - 198 + 137 with respect to n.
-48*n**3 + 2*n
Find the first derivative of 6 - 137*n**2 - 772*n - 226*n**2 + 772*n wrt n.
-726*n
Let t be -2 - 1 - 10*(-5)/10. Find the third derivative of 8*q**2 + 5*q**t + 6*q**4 + 9*q**2 wrt q.
144*q
Let p(o) = -15*o**3 - 21*o**2 - 11*o - 149. Let a(t) = 3*t**3 + 4*t**2 + 2*t + 30. Let f(q) = -11*a(q) - 2*p(q). What is the first derivative of f(x) wrt x?
-9*x**2 - 4*x
Let x(q) = 9*q - 3. Suppose -10*y = -7*y - 3. Let i be x(y). Find the first derivative of -10*o - 6*o + 10*o + i wrt o.
-6
Let k(h) be the first derivative of -5*h**7/42 + h**3 - 8*h - 14. Let r(l) be the first derivative of k(l). Find the second derivative of r(s) wrt s.
-100*s**3
What is the third derivative of 174*c**2 + 89*c**4 - c + 83*c**4 + c + 9*c**4 wrt c?
4344*c
Let x(g) be the third derivative of 17*g**5/120 - 7*g**4/6 - 11*g**3/3 - 4*g**2. Let w(u) be the first derivative of x(u). What is the derivative of w(q) wrt q?
17
Let v(k) be the second derivative of k**4/2 - 7*k**3/2 + 41*k**2/2 - 2*k. Let u(w) be the first derivative of v(w). Differentiate u(j) with respect to j.
12
Let f(a) be the first derivative of -759*a**2/2 + 747*a + 640. Differentiate f(l) with respect to l.
-759
Let u(z) be the third derivative of z**7/30 + 13*z**6/60 + 251*z**4/8 + 2*z**2 + 12. Find the second derivative of u(w) wrt w.
84*w**2 + 156*w
Let l(n) be the second derivative of 7*n**5/20 - 17*n**3/6 + 197*n**2 - 586*n. What is the derivative of l(f) wrt f?
21*f**2 - 17
What is the second derivative of 707*t**2 - 908*t**2 + 19*t - 16*t - 5 wrt t?
-402
Suppose 5 = v - 5*x, v + x = -3 + 2. Suppose v*u = -2*u. Find the third derivative of 5*y**6 + u*y**6 - 7*y**2 + 6*y**2 wrt y.
600*y**3
Find the second derivative of -6*y - 9*y - 74 - 221*y**4 + 18*y wrt y.
-2652*y**2
Let t(j) = 17*j + 13. Let f(y) = -1. Let n(k) = 18*k + 26. Let p(q) = 12*f(q) + n(q). Let v(s) = 2*p(s) - 3*t(s). Find the first derivative of v(o) wrt o.
-15
Let t(v) be the first derivative of 4 + 23*v - 23*v - 2 + 10*v - 3*v**2. Differentiate t(m) wrt m.
-6
Let r(c) be the first derivative of 61*c**3 - c**2 + 16*c + 175. What is the second derivative of r(x) wrt x?
366
Let p(u) be the second derivative of 11*u**4/6 + u**3/2 + 103*u**2/2 - 4*u - 13. Differentiate p(j) wrt j.
44*j + 3
Let i(g) be the third derivative of 13*g**5/20 - 47*g**4/12 + 36*g**2. Find the second derivative of i(k) wrt k.
78
Let b(f) = 132*f + 486. Let r(d) = -44*d - 161. Let k(z) = -3*b(z) - 10*r(z). What is the derivative of k(x) wrt x?
44
Let n(l) be the third derivative of 17*l**5/10 + 143*l**4/24 - 106*l**2. Find the second derivative of n(i) wrt i.
204
Let n(m) be the first derivative of 37*m**7/210 + 17*m**3/6 + 19*m**2 + 26. Let t(g) be the second derivative of n(g). Differentiate t(w) wrt w.
148*w**3
Let z be 8/(-20)*40/(-4). What is the derivative of -30 - 4*h + z*h + 13 + 10*h wrt h?
10
Let v(n) be the second derivative of -17*n + 0 + 11/42*n**7 - n**4 + 0*n**5 + 0*n**3 + 0*n**2 + 0*n**6. What is the third derivative of v(r) wrt r?
660*r**2
Suppose 2 = 2*m - 0*m + a, 2*m = 3*a + 18. What is the third derivative of -12*d**2 - 3*d**3 + 10*d**3 - 8*d**2 + 10*d**m wrt d?
102
Let b(w) = -w**3 + 7*w**2 - 5*w - 3. Let k be b(6). What is the third derivative of 11*c**k - 24*c**3 + 10*c**3 - 2 - 3*c**2 - 6*c**5 wrt c?
-360*c**2 - 18
Let d(s) be the first derivative of 2 - 12*s**3 + 0*s**5 + 0*s**2 + 0*s**6 + 0*s + 0*s**4 - 22/7*s**7. What is the third derivative of d(l) wrt l?
-2640*l**3
Differentiate -113 + 86 + 27*p - 171 - 133 - 35 with respect to p.
27
Let u(j) = 13*j**4 + 4*j**2 - j. Let g = -44 + 40. Let r(v) = -v**4 + v**2 - v. Let z(l) = g*r(l) + u(l). Find the second derivative of z(s) wrt s.
204*s**2
Let a(h) = 36*h**2 + 10*h + 4. Let g(n) be the second derivative of n**4 + n**3/2 + n**2/2 + 10*n. Let o(p) = -3*a(p) + 10*g(p). Differentiate o(d) wrt d.
24*d
Let z = -22 - -24. Find the third derivative of 0*q**z + 4*q**2 + 2*q**2 + 12*q**5 wrt q.
720*q**2
What is the third derivative of 4243*i**3 + 1 - 4243*i**3 - 58*i**2 + 47*i**4 wrt i?
1128*i
Let t(r) be the first derivative of r**9/1008 - 7*r**5/120 - 16*r**3/3 - 20. Let j(l) be the third derivative of t(l). Find the second derivative of j(n) wrt n.
60*n**3
Let s(c) = -176*c - 202. Let n(l) = -88*l - 101. Let d(y) = 5*n(y) - 2*s(y). What is the derivative of d(f) wrt f?
-88
What is the second derivat