 2. Let c(o) = 21*o**3 - 6*o**2 + 12*o + 210. Let h(l) = c(l) - 6*y(l). What is the derivative of h(x) wrt x?
27*x**2 - 12*x
What is the third derivative of -42*c**2 + 133*c**3 - 2*c**4 - 132*c**3 + 0*c**2 wrt c?
-48*c + 6
Let b(t) = -t**4 + t**3 + t**2 - t + 2. Let z(y) = 55*y**4 - 2*y**3 - 2*y**2 + 4*y - 42. Let g(x) = -4*b(x) - z(x). What is the third derivative of g(r) wrt r?
-1224*r - 12
Let p(x) = 2*x**2 + 7*x - 2. Let c be p(-4). What is the third derivative of 8*g**5 + 150*g + 9*g**c - 150*g wrt g?
480*g**2
Let o(n) be the first derivative of -n**6/3 - 9*n**4/2 - 94*n**3/3 - 50. What is the third derivative of o(q) wrt q?
-120*q**2 - 108
Let x(q) be the third derivative of 167*q**4/24 + 17*q**3/6 + q**2 - q. Differentiate x(b) with respect to b.
167
Let g(t) = 9*t**3 + 3*t**2 + 54*t - 241. Let p(k) = 14*k**3 + 5*k**2 + 108*k - 481. Let s(r) = 5*g(r) - 3*p(r). Find the first derivative of s(m) wrt m.
9*m**2 - 54
Let l(q) be the third derivative of -163*q**6/120 - 503*q**5/60 + 145*q**2. What is the third derivative of l(w) wrt w?
-978
Let l(z) be the first derivative of -8*z**5/5 - 3*z**2/2 - 35*z - 106. Differentiate l(k) with respect to k.
-32*k**3 - 3
Let i(g) = g**3 - g - 1. Let x(j) = 4*j**4 - 16*j**3 + 12*j + 20. Let f(d) = 16*i(d) + x(d). What is the second derivative of f(a) wrt a?
48*a**2
Let r(d) be the second derivative of -6*d + 0*d**3 - 13/12*d**4 + 0*d**2 + 0 + 0*d**6 - 9/56*d**8 + 0*d**7 + 0*d**5. What is the third derivative of r(g) wrt g?
-1080*g**3
Let v be 1 + -2 + -1 + 7. Suppose 0 = 4*d + 3*m - v, 0 = 2*d + m - 5 + 2. What is the second derivative of 3*r**2 - r + 2*r - 8*r**d + 3*r**2 wrt r?
-4
Let u(z) be the third derivative of 13*z**6/40 + 23*z**5/30 - 19*z**2 - z. Find the third derivative of u(f) wrt f.
234
Let k(l) be the second derivative of 0 - 9*l - 5/6*l**3 + 2*l**2. Differentiate k(i) with respect to i.
-5
Suppose -3*y + 3*a = 39, 4*a = 3*y + 32 + 11. Let p be (-1)/(-3) - 60/y. Find the second derivative of -6*m**4 + p*m**4 - 9*m + 4*m**4 - m wrt m.
60*m**2
Let h(s) = s**2 + 2*s - 1. Let z be h(-5). Suppose 0 = -2*g + 58 + z. What is the derivative of -8 + g*w**4 - 20*w**4 - 17*w**4 wrt w?
-4*w**3
Find the second derivative of -y**3 - 1 + 10 + 391*y + 2*y**4 + 18*y**3 - 9 wrt y.
24*y**2 + 102*y
Let o be 2/(-9) - (-1730)/90. What is the second derivative of -o*h + 56*h**3 - 75*h**3 + 49*h**3 wrt h?
180*h
Let w(q) be the third derivative of -31*q**6/40 - 61*q**5/15 + 78*q**2. Find the third derivative of w(s) wrt s.
-558
Let h(n) be the second derivative of -n**4/12 + n**3/6 - 13*n. Let f(s) = 7*s**2 - 4*s - 2. Let y(k) = -f(k) - 4*h(k). Differentiate y(j) with respect to j.
-6*j
Find the third derivative of 233*w**4 - 2*w**3 - 106*w**2 + 257*w**2 - 117*w**2 wrt w.
5592*w - 12
What is the first derivative of 756*p**2 + 125 + 326 - 1072*p**2 - 2*p wrt p?
-632*p - 2
Let v(p) be the first derivative of -p**7/7 - 36*p**5/5 + 49*p**3/3 - 2*p + 15. Find the third derivative of v(d) wrt d.
-120*d**3 - 864*d
Let u(v) be the first derivative of 0*v**5 + 13 - 8*v**3 + 0*v**2 + 0*v**4 + 0*v**6 + 0*v + 23/7*v**7. What is the third derivative of u(o) wrt o?
2760*o**3
Let s(z) = 15*z + 79. Let c be s(-5). Suppose 0 = -2*y + 3*y + 2*m - 8, -3*m = -2*y + 16. Find the second derivative of 2*p**4 - 5*p + p**4 - y*p**c wrt p.
-60*p**2
Let s(p) be the second derivative of 43*p**5/10 - p**4/6 + 31*p**3/3 - p**2/2 + 3*p - 24. What is the second derivative of s(y) wrt y?
516*y - 4
Let a(k) be the first derivative of -47*k**4/2 - 8*k**2 - k + 138. Find the second derivative of a(w) wrt w.
-564*w
What is the third derivative of 161*f**2 - 69 + 69 - 79*f**5 wrt f?
-4740*f**2
What is the third derivative of -169*d**3 - 15*d + 125*d**2 + 15*d - 47*d**2 wrt d?
-1014
Suppose r = 1 + 4. Find the second derivative of 21*y**5 + 9*y + 2*y - 12*y**r wrt y.
180*y**3
Let j = -5 + 2. Let v be (1 + j)*(-14)/4. What is the third derivative of v*i + i - 8*i + 5*i**4 - 2*i**2 wrt i?
120*i
Let q(w) be the second derivative of 2*w**4/3 + w**3/3 + 95*w**2/2 + 309*w. What is the first derivative of q(n) wrt n?
16*n + 2
Let r = -15 + 2. Let l(g) = -10*g**2 + 6*g - 5. Let h(m) = -20*m**2 + 13*m - 10. Let i(d) = r*l(d) + 6*h(d). Find the first derivative of i(j) wrt j.
20*j
Let j(l) = 110*l**3 - l**2 + 2*l - 2. Let y be j(2). What is the second derivative of -23*m - 24*m**5 + y*m**3 - 878*m**3 wrt m?
-480*m**3
Let f(b) = -b**3 - 9*b**2 - 13*b - 3. Let i be f(-8). Let t = -35 + i. What is the third derivative of -4*q**3 - 4*q**2 - 4*q**3 - 7*q**3 - 6*q**t wrt q?
-90
What is the derivative of 233*j + 330 - 1041 - 12*j + 111*j wrt j?
332
Let h(j) be the second derivative of 7/6*j**3 + 7*j + 0*j**2 + 5/4*j**4 + 0. What is the second derivative of h(s) wrt s?
30
What is the third derivative of -14 - 5 - 7*k**4 + 15*k**4 - 4*k**5 - k**2 wrt k?
-240*k**2 + 192*k
Find the first derivative of 152 - 730 + 18*t + 253*t wrt t.
271
Let c = -44 + 14. Let y be ((-2)/(-6))/((-5)/c). What is the second derivative of -h**4 + y*h**4 - h**4 + 2*h**4 - 11*h wrt h?
24*h**2
Let c(w) = 16*w**5 + w. Let x(f) = -2 - 11*f**5 + 2 - 6*f**5. Let u(r) = 6*c(r) + 5*x(r). Find the second derivative of u(k) wrt k.
220*k**3
What is the second derivative of 21 - 29*n**3 - 3074*n**2 + n + 6151*n**2 - 3076*n**2 wrt n?
-174*n + 2
Let x = -12 + 16. Let l(z) = 2*z - 5. Let f be l(x). What is the second derivative of 5*s**2 - f*s + 8*s + 0*s**2 + 0*s**2 wrt s?
10
Let m(i) be the second derivative of 553*i**4/12 + 99*i**3 + 5*i - 21. Find the second derivative of m(j) wrt j.
1106
Let j = 21 + -20. What is the derivative of 4*i - j - 10*i + 13*i wrt i?
7
Let p(v) be the first derivative of v**8/420 + v**5/15 - 5*v**3 + 13. Let t(n) be the third derivative of p(n). What is the second derivative of t(i) wrt i?
48*i**2
Let b(d) = -d**3 + 5*d**2 + 15*d - 3. Let m be b(7). Find the first derivative of 10*g**m - 52 + 45 + 3*g**4 wrt g.
52*g**3
Let q(n) be the second derivative of 1/5*n**5 + 5/4*n**4 + 0 + 0*n**2 - 11*n + 0*n**3. Find the third derivative of q(f) wrt f.
24
Let d be (-1)/((9/(-2))/9). Differentiate -3*j**2 - 1 + 3*j**d - 3*j**2 - 6*j**2 wrt j.
-18*j
Let b be 162/6 + 0 - (-5 - -1). What is the derivative of 107*n**2 + 2*n**3 - b + n**3 - 107*n**2 wrt n?
9*n**2
Let u(k) = 7*k**3 - 157. Let n(d) = -36*d**3 - d**2 + 784. Let w(f) = -2*n(f) - 11*u(f). What is the derivative of w(a) wrt a?
-15*a**2 + 4*a
Let f(r) be the third derivative of -5*r**8/336 - 17*r**6/60 + 31*r**5/10 + 266*r**2. Find the third derivative of f(h) wrt h.
-300*h**2 - 204
Let g(s) be the second derivative of -211*s**6/10 - s**3/6 + 16*s**2 + s - 155. Find the second derivative of g(i) wrt i.
-7596*i**2
Let f(p) be the first derivative of 0*p**2 + 3/4*p**4 - 8/3*p**3 - 30*p - 38. Find the first derivative of f(x) wrt x.
9*x**2 - 16*x
Let v(d) be the third derivative of 223*d**9/504 - 107*d**5/60 - d**3/6 - 1027*d**2. What is the third derivative of v(z) wrt z?
26760*z**3
Let f(t) = 479*t**6 - 11*t**4 + 134*t**2 + 11. Let b(z) = 96*z**6 - 2*z**4 + 27*z**2 + 2. Let q(s) = -11*b(s) + 2*f(s). Find the third derivative of q(w) wrt w.
-11760*w**3
Let g(z) = -106*z**3 - 4*z**2 - 98*z + 2. Let p(f) = 212*f**3 + 7*f**2 + 196*f - 4. Let k(v) = 7*g(v) + 4*p(v). What is the second derivative of k(c) wrt c?
636*c
Let u(s) = -45*s**4 - 78*s - 3. Let f(q) = -46*q**4 - 77*q - 4. Let i(v) = 3*f(v) - 4*u(v). Find the second derivative of i(g) wrt g.
504*g**2
Let n = 20 - 12. Let p be n + (-2 - 0/2). What is the third derivative of 6*j**4 - p*j**4 + 9*j**4 + 8*j**2 - 4*j**4 wrt j?
120*j
Let c be (-11)/(44/(-24))*1. What is the third derivative of -60*s + 3*s**2 + s**c + 60*s wrt s?
120*s**3
Find the third derivative of 12492 + c**6 - 12492 - 73*c**4 + 2*c**5 - 2*c**5 - 668*c**2 wrt c.
120*c**3 - 1752*c
Let u be 2/1*(-35)/(-10). What is the first derivative of -713*r**3 - r**2 + 744*r**3 + r**2 - u wrt r?
93*r**2
Let v(p) = 125*p**3 + 13*p**2 + 461*p + 10. Let d(u) = 187*u**3 + 19*u**2 + 691*u + 14. Let q(y) = -5*d(y) + 7*v(y). Find the second derivative of q(a) wrt a.
-360*a - 8
Find the third derivative of -976*s**2 + 40*s**5 - 661*s**5 + 403*s**2 wrt s.
-37260*s**2
Suppose -10 = -4*d - t, -3*d + 4*d - 2*t + 2 = 0. Find the third deriva