*4/12 - 23*o**2/2 + 29*o + 4. Differentiate r(n) wrt n.
-52*n**3 + 2*n
Let y(q) be the third derivative of -19*q**7/210 - 139*q**5/30 + 104*q**2. What is the third derivative of y(t) wrt t?
-456*t
Let j(h) = 39*h**2 - 11*h - 36. Let b(w) = -2*w + 11 + 8*w**2 + 22 - 40. Let f(t) = -11*b(t) + 2*j(t). What is the first derivative of f(z) wrt z?
-20*z
Suppose 41 = 3*i + 4*b, -i = -5*b + b + 13. What is the derivative of -1 - i*w - 3 + 0 - 5 wrt w?
-7
Find the first derivative of 5*o**3 + 96*o**4 - 12 + 77 - 45*o**4 - 49*o**4 wrt o.
8*o**3 + 15*o**2
Let p(i) be the third derivative of 0 + 1/24*i**4 - 6*i**3 + 2*i**2 - 6*i + 1/20*i**5. What is the first derivative of p(c) wrt c?
6*c + 1
Let p(k) be the second derivative of -3/4*k**8 + 0 + 0*k**2 + 0*k**7 + 0*k**5 - 13/12*k**4 - 19*k + 0*k**6 + 0*k**3. What is the third derivative of p(j) wrt j?
-5040*j**3
Suppose -3*i - 6 = 4*v, v + 3*v = i - 14. Find the third derivative of -73*t**2 + 37*t**2 + 43*t**i - 42*t**4 wrt t.
-1008*t
Let n(w) be the second derivative of 0*w**5 - 5/3*w**4 + 1/21*w**7 + 9*w + 0*w**6 + 0*w**3 + 0 + 0*w**2. Find the third derivative of n(g) wrt g.
120*g**2
Let u(b) be the first derivative of 7*b**6/30 - 3*b**5/10 - 7*b**2/2 + 17. Let h(r) be the second derivative of u(r). Find the third derivative of h(z) wrt z.
168
Let w(a) be the second derivative of -5*a**9/1008 + a**6/24 - 5*a**3/3 + a. Let v(o) be the second derivative of w(o). Find the third derivative of v(g) wrt g.
-900*g**2
Let k(n) be the first derivative of 1/4*n**5 + 0*n**3 - 3*n**2 - n + 0*n**4 + 5. Let s(v) be the first derivative of k(v). Differentiate s(i) wrt i.
15*i**2
What is the second derivative of 3 + 93*x**2 - 4 + 285*x + 187*x**2 - 93*x**2 wrt x?
374
Let v(o) be the second derivative of 0*o**4 + 0 - o**3 + 36*o + 0*o**2 - 11/10*o**5. What is the second derivative of v(c) wrt c?
-132*c
Let f(k) be the first derivative of -143*k**5/5 + 29*k**2 - 2*k + 149. Find the second derivative of f(g) wrt g.
-1716*g**2
Let o(w) be the third derivative of w**10/18900 + 7*w**6/720 + w**5/6 - 5*w**2. Let z(u) be the third derivative of o(u). Differentiate z(l) with respect to l.
32*l**3
Let i(j) be the second derivative of 0*j**4 + 0*j**6 + 0 + 7*j - 7/2*j**3 + 0*j**5 + 10/21*j**7 + 0*j**2. Find the second derivative of i(v) wrt v.
400*v**3
Let h(g) = 9*g**2 - 11*g - 1. Suppose 3*c = 4 - 13. Let o(n) = n**2 + 1. Let m(v) = c*h(v) - 3*o(v). Find the second derivative of m(d) wrt d.
-60
Find the second derivative of -x + 83*x**3 - 78*x**3 + 2*x + 82 + 8*x**2 + 3*x - 6*x wrt x.
30*x + 16
Let y(f) be the third derivative of -f**6/60 - 259*f**5/60 + f**4/8 - 4*f**3 + 1072*f**2. What is the second derivative of y(x) wrt x?
-12*x - 518
Let z(i) be the first derivative of 0*i**6 + 0*i**4 - 22 + 0*i + 0*i**2 - 5/3*i**3 + 26/7*i**7 + 0*i**5. Find the third derivative of z(a) wrt a.
3120*a**3
Find the first derivative of 3 - 29 + 469*y**3 - 1 - 498*y**3 - y wrt y.
-87*y**2 - 1
Let t = 13 + -9. Let v be 2 + 0 + (t - 4). What is the second derivative of -383 + 2*l + 383 - 2*l**v wrt l?
-4
Suppose -2*x = -0*w + 5*w - 14, -4*x = w + 8. What is the first derivative of -18 - w*t**3 + 3*t**3 + 22 wrt t?
-3*t**2
Suppose 13 = 7*z - 22. Find the second derivative of -99*k - 5*k**z + 0*k**5 + 104*k wrt k.
-100*k**3
Let f(c) be the first derivative of c**3/3 + 9*c**2/2 + 10*c - 10. Let t be f(-8). Find the first derivative of 5 - t - 8*p**2 + 2 wrt p.
-16*p
What is the third derivative of 488*u**2 + 271*u**4 - 1057*u**2 + 352*u**2 wrt u?
6504*u
Let u be (-86 - 2)/((-1)/2). What is the third derivative of 16*t**2 - 350*t**6 + u*t**6 + 205*t**6 wrt t?
3720*t**3
Let x be -1 - ((-1 - 2) + 0). Suppose j + 13 = d, -3*d - 6*j = -x*j - 25. Differentiate -8*l + 18*l - d - 5*l with respect to l.
5
Suppose 0 = -79*f + 75*f + 4*q + 8, -2*f + 3*q + 3 = 0. Let x(n) be the first derivative of 4/3*n**f - 6*n + 0*n**2 + 10. Differentiate x(a) wrt a.
8*a
Let k(q) = q**3 - q**2 - q + 1. Let m(l) = 2*l**4 - 2*l**3 - 334*l**2 - 3*l + 3. Let n(z) = 3*k(z) - m(z). What is the third derivative of n(r) wrt r?
-48*r + 30
Let t(o) = -40*o + 21. Let n(q) = -80*q + 42. Let r be (0 - (-2 + 2)) + 5 - 2. Let x(h) = r*n(h) - 5*t(h). Differentiate x(g) with respect to g.
-40
Let m(z) be the first derivative of -z**5/5 - 10*z**4 + 15*z + 165. Differentiate m(g) with respect to g.
-4*g**3 - 120*g**2
Let g(f) = 9*f**2 + 70*f + 1722. Let y(v) = 3*v**2 + 23*v + 575. Let o(c) = -4*g(c) + 11*y(c). Differentiate o(l) wrt l.
-6*l - 27
Let n(d) be the third derivative of 3*d**6/5 - 121*d**3/6 - d**2 + 62. Find the first derivative of n(v) wrt v.
216*v**2
Let f(h) = -h**2 - 5*h + 8. Let m be f(-6). What is the third derivative of 23*r**3 - 14*r**m - 16*r**3 + 12*r**3 wrt r?
114
What is the third derivative of 12*q**2 + 5*q + 144*q**3 - 3*q - 164*q**3 wrt q?
-120
Let v be (-2)/((2/4)/(-1)). Suppose 3*p + v*y = 10, 3*p - y = 6 + 14. Find the first derivative of -p - r + 8 - 3 wrt r.
-1
Let h(a) be the first derivative of 0*a**4 + 0*a**3 - 26/5*a**5 - 7 - 2*a**2 + 0*a. What is the second derivative of h(r) wrt r?
-312*r**2
Let t(d) be the first derivative of -127*d**3/3 + d**2 - 13*d + 3. Find the second derivative of t(s) wrt s.
-254
Suppose -2*o - 2 = -3*o, 5*q + 29 = 2*o. Let y = 7 + q. Find the third derivative of -3*r**y + r**3 - 7*r**2 + 8*r**3 wrt r.
54
Let c(a) be the first derivative of 222*a**5/5 + 20*a**3 + 120. What is the third derivative of c(n) wrt n?
5328*n
Differentiate -5 - 299*d - 192 - 118 with respect to d.
-299
Let j(w) = 140*w**5 - 10*w**3 - 30*w**2 - 105*w. Let k(p) = -p**3 - 3*p**2 - p. Let i(s) = -j(s) + 10*k(s). Find the second derivative of i(z) wrt z.
-2800*z**3
Let b(n) be the first derivative of -n**7/840 - n**5/40 + 5*n**3/3 - 8. Let y(h) be the third derivative of b(h). Find the second derivative of y(q) wrt q.
-6*q
Let p(f) be the first derivative of -3*f - 17 + 9*f + f**3 + f - f. Differentiate p(y) with respect to y.
6*y
What is the third derivative of -9*i**3 - 3*i**2 + 25*i**6 + i**2 - 21*i**6 + 13*i**2 wrt i?
480*i**3 - 54
What is the third derivative of -69*g**6 - 53*g**2 - 1001*g**5 + 1001*g**5 wrt g?
-8280*g**3
Let l = -16 + 15. Let h be 0/(l - (1 - 1)). What is the second derivative of h*y**4 - y - 8*y + 5*y**4 + 3*y wrt y?
60*y**2
Let j(v) be the third derivative of v**7/42 + 3*v**6/40 + 19*v**5/30 - 62*v**2. Find the third derivative of j(d) wrt d.
120*d + 54
Suppose 81 = 22*n - 19*n. Find the third derivative of -5*i**3 - 3*i**2 + n*i**3 - 3*i**2 wrt i.
132
Let n(f) be the third derivative of -41*f**8/56 + 151*f**5/60 + 26*f**2 - 2. What is the third derivative of n(k) wrt k?
-14760*k**2
Let b = 177 + -9. What is the derivative of b + 9*g - 167 + g wrt g?
10
Suppose w + 5 = g - 0*w, -4*g + 22 = -5*w. Find the first derivative of -18*i**3 + 270 - 253 - 13*i**g wrt i.
-93*i**2
Let s(i) = 213*i**2 - 122. Let y(l) = -211*l**2 + 121. Let g(t) = -4*s(t) - 3*y(t). Find the first derivative of g(b) wrt b.
-438*b
Find the first derivative of 230 + 175 + 397 - 7*f**2 - 3*f**3 - 10*f**3 + 0*f**3 wrt f.
-39*f**2 - 14*f
Let i(x) = -x**2 + 2*x - 3. Let m(c) = 158*c**2 + 26*c - 5. Let a(j) = 2*i(j) - m(j). What is the second derivative of a(n) wrt n?
-320
Let t(c) be the first derivative of -3 - 2/3*c**3 + 0*c**2 + 0*c**4 + 0*c + 8/5*c**5. Find the third derivative of t(n) wrt n.
192*n
Let b(u) be the second derivative of 19*u**5/10 + 25*u**4/4 + u + 3. Find the third derivative of b(q) wrt q.
228
What is the third derivative of -162*i**4 + 82*i**4 + 19*i**3 - 98*i**2 + 81*i**4 wrt i?
24*i + 114
Let q(g) be the first derivative of g**8/168 + g**5/4 - 6*g**2 - 16. Let u(r) be the second derivative of q(r). What is the third derivative of u(w) wrt w?
120*w**2
Find the second derivative of 76*x + 0*x**3 + 36*x**5 + 3*x**3 - 3*x**3 + 38*x wrt x.
720*x**3
Let s(g) = 313*g**3 - 289*g**2 + 14*g + 14. Let p(z) = -156*z**3 + 145*z**2 - 8*z - 8. Let a(i) = -7*p(i) - 4*s(i). Find the third derivative of a(d) wrt d.
-960
Let h(c) = c - 10. Let s be h(12). What is the third derivative of -k**s - 275*k**6 + 0*k**2 + 279*k**6 wrt k?
480*k**3
Let x(p) be the second derivative of 73*p**6/30 + 17*p**3/2 - 20*p - 3. Find the second derivative of x(a) wrt a.
876*a**2
Let 