. Let h(a) = 42*a**3 + 164*a**2 - 12*a. Let n(k) = -6*c(k) + 5*h(k). What is the third derivative of n(x) wrt x?
-252
Let j = -47 - -49. Differentiate 2*a + 4 + 9 + j - 3 with respect to a.
2
Suppose 10*c + 6 = 11*c. What is the second derivative of -10*g - 6*g + 6*g - 3*g**3 + c*g**3 wrt g?
18*g
Differentiate 5 + 2*b**4 + 8 - 27 - 33 - 31 + 10*b**3 wrt b.
8*b**3 + 30*b**2
Let m = -9 - -11. What is the third derivative of 0*n**5 - 8*n**2 - 3*n**2 - 2*n**5 - m*n**5 wrt n?
-240*n**2
Let f(n) be the third derivative of 0*n**5 + n**3 + 0*n + 0*n**6 + 0*n**4 + 0 - 15*n**2 + 1/210*n**7. What is the first derivative of f(d) wrt d?
4*d**3
Let x(a) be the second derivative of -5/6*a**3 + 0*a**5 + 0*a**4 + 0*a**6 + 0*a**2 + 2/21*a**7 + 0 - 7*a. Find the second derivative of x(v) wrt v.
80*v**3
Let v(t) be the third derivative of -t**6/60 - t**5/5 + 7*t**4/2 - 2*t**2 + 9. Find the second derivative of v(s) wrt s.
-12*s - 24
Let l be (1 - -2) + -2 + 2. Let k = 0 + 2. Find the third derivative of f**k + 6*f**5 - f**5 - l*f**2 + f**2 wrt f.
300*f**2
Let v be (-39)/(-8) + (-16)/(-128). What is the second derivative of 7 + d - 29*d**v + 4 - 11*d**5 - 8 wrt d?
-800*d**3
Find the first derivative of -4*l**2 - 142 - 5*l**3 + 217 + 5*l**2 wrt l.
-15*l**2 + 2*l
Let a be (-70)/(-15) - 1/(-3). Suppose n - 2*t = t + 25, a*t = 3*n - 55. What is the third derivative of n*m - 11*m**2 - 10*m - 7*m**5 wrt m?
-420*m**2
Let c(f) be the second derivative of 3/28*f**8 + 0*f**5 + f + 0*f**6 + 0*f**3 + 11/12*f**4 + 0*f**2 + 0*f**7 + 0. Find the third derivative of c(n) wrt n.
720*n**3
What is the third derivative of 4680*x**3 - 9463*x**3 + 6*x**2 + 4600*x**3 wrt x?
-1098
Suppose 12*a - 28 = 5*a. Find the third derivative of -2*m**2 - 12*m**4 - 4*m**2 + a*m**4 wrt m.
-192*m
What is the second derivative of -3*h**2 + 60 - 13*h + 17*h - 5*h**3 - 61 wrt h?
-30*h - 6
What is the third derivative of 2454*h - h**6 - 214*h**2 - 2454*h - 5 - 4 + 6 - 30*h**5 wrt h?
-120*h**3 - 1800*h**2
Let y(p) = 5*p**2 + 9*p - 7. Let v(o) = -4. Let h(b) = 3. Let x(w) = -5*h(w) - 4*v(w). Let s(i) = 14*x(i) + 2*y(i). Find the second derivative of s(m) wrt m.
20
Suppose 2*s = -4*y + 26, -5*y + 0*s + s = -15. What is the second derivative of y*w**5 + 4*w + 6*w**5 - 2*w + 4*w wrt w?
200*w**3
What is the second derivative of -6*t + 2*t + 45*t**2 - 11*t wrt t?
90
Let h(n) be the second derivative of -11*n**8/3360 + n**5/6 + 7*n**4/4 + 11*n. Let s(l) be the third derivative of h(l). Differentiate s(f) with respect to f.
-66*f**2
Let z(n) = 10*n + 90. Let l(k) = 5*k + 44. Let y(u) = -11*l(u) + 6*z(u). What is the first derivative of y(g) wrt g?
5
What is the derivative of -148*c**2 - 104 - 121 - 28*c**2 + 19*c**2 - 47 wrt c?
-314*c
Let a(d) be the first derivative of 8*d**6/3 + d**3 + 79*d**2/2 + 31. Find the second derivative of a(i) wrt i.
320*i**3 + 6
Let p(l) = -148*l**2 + 4*l + 43. Let u(r) = 3*r**2 + r + 1. Let n(b) = p(b) - 2*u(b). Find the second derivative of n(y) wrt y.
-308
Let f(m) be the second derivative of m**7/252 + 13*m**6/720 - m**4/2 - 10*m. Let q(p) be the third derivative of f(p). Find the second derivative of q(w) wrt w.
20
What is the third derivative of -323 + 6*p**2 - 6*p**2 + 13 + 3*p**2 - p**2 + 126*p**3 wrt p?
756
Let k(x) be the third derivative of -367*x**5/60 + 4*x**4/3 - 798*x**2. Find the second derivative of k(d) wrt d.
-734
Suppose 0 = -16*f + 15*f + 3. Let w be -3*(f - (-104)/(-12)). Find the second derivative of w*n - 15*n - 2*n**4 + 1 - 1 wrt n.
-24*n**2
Let i(d) be the third derivative of 17*d**5/10 - d**4/2 + 18*d**2. What is the second derivative of i(l) wrt l?
204
Let s(g) = g**2. Let v be s(0). Suppose 3*k + 3*k = v. Differentiate k - 2*u**2 + 9 - 2 wrt u.
-4*u
Let v(x) be the second derivative of -x**6/15 + 16*x**5/5 + 21*x**4/4 - 2*x - 12. Find the third derivative of v(w) wrt w.
-48*w + 384
Find the third derivative of -14*z**3 + 9*z**3 + 32*z + 27*z**3 + z**2 + 109*z**3 wrt z.
786
Let z(g) be the second derivative of -g**6/5 + 7*g**5/20 - 5*g**4/6 + 21*g. Find the third derivative of z(s) wrt s.
-144*s + 42
Let p(y) = -2*y + 1. Let z be p(-2). Suppose 0 = 5*u + b - 2*b - 21, -5*b = -2*u + 13. Find the third derivative of -u*a**2 - 11 + 11 - z*a**3 wrt a.
-30
Suppose 0 = -3*x - n + 5, x = -n - n. Let h be 1150 - (2 - 2/x). Find the second derivative of 13*p + h + 15*p**4 - 1149 wrt p.
180*p**2
Let f(i) be the second derivative of -37*i**4/3 - 83*i**2/2 + 74*i - 1. Find the first derivative of f(t) wrt t.
-296*t
Let q(b) be the third derivative of 101*b**5/60 + 18*b**3 + 91*b**2. Differentiate q(j) wrt j.
202*j
Let d = -17 - -23. Let q(u) = u**3 - 7*u**2 + 9*u - 10. Let j be q(d). Find the first derivative of j - 8 + 5*m**2 - 4 wrt m.
10*m
Let l(h) = 5 + h - 4 - 2. Let w(c) = -21. Let b(t) = 44. Let d(r) = -4*b(r) - 9*w(r). Let v(q) = -d(q) - 5*l(q). Differentiate v(m) with respect to m.
-5
Let i(r) be the first derivative of 11*r**4 + 0*r + 0*r**2 - 39 + 1/3*r**3. Find the third derivative of i(d) wrt d.
264
Suppose 8*k - w = 3*k + 19, -2*k = 2*w + 2. Suppose -m + 26 = 2*m - f, -k*m - 2*f = -29. What is the second derivative of m*p**4 + 9*p**4 - p - 7*p**4 wrt p?
132*p**2
Let x(b) = 3*b - 7. Let d(h) = 2*h - 4. Let f(q) = -5*d(q) + 3*x(q). Let z(p) = -10*p - 5. Let r(o) = 2*f(o) - z(o). Find the first derivative of r(n) wrt n.
8
Let t(v) be the third derivative of v**4/24 + v**3/6 - 14*v**2. Let z(q) = 4 + 0 + 3*q + 0. Let x(m) = 6*t(m) - z(m). What is the derivative of x(b) wrt b?
3
Let t = 1 + -12. Let f = 11 + t. What is the derivative of 1 - 3 + 3 - 4*p + f wrt p?
-4
Let w(p) = 101*p**4 - 3*p**3 + 45*p**2 - 6*p. Let j(c) = -c**4 + c**2 + 2*c. Let x(h) = -3*j(h) - w(h). Find the third derivative of x(f) wrt f.
-2352*f + 18
Suppose 5*g - 23 - 82 = 0. Find the third derivative of 2*i + 3*i**4 - 2*i - g*i**2 + 5*i**2 wrt i.
72*i
What is the third derivative of 1744*q**3 - 12 + q**6 - 660*q**2 + 14 - 1463*q**3 wrt q?
120*q**3 + 1686
Let p(m) be the third derivative of -55*m**4/24 + 7*m**3/2 + 9*m**2 - 6. What is the derivative of p(k) wrt k?
-55
Suppose -t + 4*t + 33 = 0. Let o = t + 16. Find the third derivative of 7*h**3 + 2*h**3 - o*h**3 - 5*h**2 - h**2 wrt h.
24
Let t(s) be the third derivative of -131*s**6/120 - s**5/30 + 77*s**3/3 + 199*s**2. What is the third derivative of t(v) wrt v?
-786
Let z(k) = -33*k**3 - 459*k**2 - 13*k + 13. Let g(d) = 18*d**3 + 229*d**2 + 6*d - 6. Let i(o) = 13*g(o) + 6*z(o). What is the third derivative of i(m) wrt m?
216
Let b(j) be the third derivative of -2/5*j**5 + 0*j**3 + 7/8*j**4 + 10*j**2 + 0 + 0*j. Find the second derivative of b(x) wrt x.
-48
What is the first derivative of -23 - 1639*u + 818*u + 926*u wrt u?
105
What is the second derivative of -15*s**5 - 80954*s**2 - 24*s + 2*s**3 + 80954*s**2 wrt s?
-300*s**3 + 12*s
Suppose 18 = 46*j - 40*j. Let m(x) = 41*x**6 + 4*x**2. Let n(b) = b**6 + b**2. Let k(s) = j*n(s) - m(s). Find the third derivative of k(z) wrt z.
-4560*z**3
What is the third derivative of -16*y**3 - 2*y**3 + 3*y**3 + 3*y**3 + 5*y**4 + y**3 + 104*y**2 wrt y?
120*y - 66
Let h(u) be the first derivative of 2*u + 10/3*u**3 + 21 + 0*u**2. What is the derivative of h(n) wrt n?
20*n
Let v = 16 - 12. Suppose -v*j - 1 = -25. Find the third derivative of -j*y**4 + 0*y**4 + 4*y + 4*y**2 - 4*y wrt y.
-144*y
Let s(w) = -w + 7. Let b be s(-8). Let t = -13 + b. What is the third derivative of -30*c**2 + 9*c**5 + 38*c**2 - t + 2 wrt c?
540*c**2
Find the third derivative of 23*m**4 - 5235*m**2 + 5012*m**2 + 0*m**4 wrt m.
552*m
Let r = 31 - 21. Let l be 0/(-1) + (r - 6). Differentiate 5 - 3 + l*x**3 - 8 with respect to x.
12*x**2
Let l(v) = v**4 - v**3 - v**2 - v. Let t(r) = -459*r**4 + 4*r**3 + 2*r**2 - 52*r. Let h(k) = 4*l(k) + t(k). Find the third derivative of h(f) wrt f.
-10920*f
What is the second derivative of 259*w**5 + 2*w**2 + 0 - 4 + 1126*w - 2*w**2 - 1142*w wrt w?
5180*w**3
Let u(k) = -17*k - 52. Let b(m) = -33*m - 101. Let a(g) = -6*b(g) + 14*u(g). What is the first derivative of a(d) wrt d?
-40
Find the second derivative of -277*k**2 + 4*k - 55*k**2 - 85*k**2 + 5*k wrt k.
-834
Let o be (-166)/(-10) + (-4)/(-10). Suppose 4*l + 5 - o = 0. What is the second derivative of -h**l + 0*h**3 + 3*h + 2*h**5 + h**3 w