-34. What is the third derivative of 54*w**6 - 38*w**2 - s*w**6 + 36*w**2 wrt w?
3960*w**3
Let o(z) = 6*z**5 + 41*z**2 - 298*z + 2. Let a(c) = 25*c**5 + 164*c**2 - 1192*c + 9. Let r(l) = -2*a(l) + 9*o(l). Find the second derivative of r(p) wrt p.
80*p**3 + 82
Let f(r) = -532*r**3 + 4*r + 45. Let z(s) = -534*s**3 + 4*s + 44. Let w(a) = 5*f(a) - 4*z(a). What is the second derivative of w(d) wrt d?
-3144*d
What is the derivative of 60*y**4 + 28*y**4 - 17 + 3 + 15 + 13*y**4 - y**3 wrt y?
404*y**3 - 3*y**2
Find the first derivative of -299 - 13*q**2 + 416*q + 3*q**2 - 252 - 82 - 390*q wrt q.
-20*q + 26
Let h(f) be the second derivative of 51*f**7/7 + 13*f**3/3 + 7*f**2/2 + 553*f. Find the second derivative of h(y) wrt y.
6120*y**3
Let r = 55 + 38. Suppose -5*d + 3 - 13 = 0, -2 = -5*n - 4*d. Find the third derivative of -93*t**4 - 3*t**n + 9*t**5 + r*t**4 wrt t.
540*t**2
Let y = -12 - -12. Suppose 5*f - 2*f - 6 = y. What is the third derivative of -14*u**4 - 4*u**2 + 58 - 2*u**f - 58 wrt u?
-336*u
Let i(r) be the second derivative of -2/15*r**6 + 0*r**4 + 0*r**5 + 8*r - 2*r**3 + 0*r**2 + 0. What is the second derivative of i(b) wrt b?
-48*b**2
Let b = -14 + 17. Suppose b*c + 2 = 4*c. What is the third derivative of -2*t**2 - 2*t**c - 2*t**2 + 6*t**3 wrt t?
36
Let t(s) = -22*s**2 + 29*s - 4. Let l(g) = 93*g**2 - 50*g**2 - 44*g**2 + 1. Let a(n) = 4*l(n) + t(n). Find the second derivative of a(y) wrt y.
-52
Let n(f) = f + 1. Let h be n(5). Suppose j - 8 = -h. What is the first derivative of -j*m - 6*m + m - 8 + 3 wrt m?
-7
Let n(l) be the third derivative of l**7/420 - l**6/240 - l**5/5 - 3*l**2. Let j(u) be the third derivative of n(u). Differentiate j(w) with respect to w.
12
What is the first derivative of 502 + 117*r - 346*r - 164 - 53 wrt r?
-229
Let t(o) be the second derivative of 93*o**5/20 + 55*o**3/3 - o + 2. What is the second derivative of t(m) wrt m?
558*m
Let g = -225 + 159. Let n be 1/(g/(-21) - 3). What is the third derivative of -i**2 - n*i**2 + 5*i**5 - i**2 + 3*i**2 wrt i?
300*i**2
Find the second derivative of -32*o**2 - 4*o + 21 + 3*o - 2*o**2 + 3*o wrt o.
-68
Find the second derivative of -86*k - 550*k**2 + 379*k**2 - 317*k**2 wrt k.
-976
Suppose 5*x - 17 - 68 = 0. What is the third derivative of 13*m**2 + 2*m**4 - 2*m**4 + x*m**6 + 6*m**6 wrt m?
2760*m**3
Let o(z) = 3*z + 11. Let v be o(-3). Differentiate 5*d**2 + 7*d**2 + 21 - 14*d**v with respect to d.
-4*d
Let m(z) = z**3 + 5*z**2 - 14*z + 2. Let l be m(-7). Find the first derivative of -45 + 2*b - 6*b + 0*b**2 - 4*b**2 - 8*b**l wrt b.
-24*b - 4
Let d(p) be the first derivative of -p**7/14 - 19*p**5/60 + 8*p**2 + 20. Let x(l) be the second derivative of d(l). What is the third derivative of x(t) wrt t?
-360*t
Let h = -102 + 104. Differentiate 11*u**2 - 20*u**2 - 29 + 16*u**h wrt u.
14*u
What is the third derivative of -25*q**3 - 4*q**3 + 33*q**2 - 73*q**3 wrt q?
-612
Let d(v) be the first derivative of -2*v**5/5 - 21*v**4/2 - 2*v**2 - 31. Find the second derivative of d(f) wrt f.
-24*f**2 - 252*f
Let f(p) = -3*p**2 + 7*p - 6. Let g(x) = -x**2 + x - 1. Let m(z) = f(z) - 2*g(z). Let w be m(3). Find the first derivative of w - 3*a + 2 + 2*a - a wrt a.
-2
Let k(c) = -c**5 - c**4 - c**3 + c - 1. Let a(m) = -63*m**5 + 3*m**4 + m**3 + 91*m**2 - m + 1. Let j(x) = -a(x) - k(x). Find the third derivative of j(p) wrt p.
3840*p**2 - 48*p
Let d be ((-6)/15)/1 - (-44)/10. What is the third derivative of 16*a**d - 3*a**4 - 2*a**2 + 0*a**2 - 3*a**4 wrt a?
240*a
Let a = 5 - 3. Suppose 2*z - 2 = -2*h, -5*h + 3 = z - 6. What is the second derivative of -3*c**h + 6*c - 2*c**a - 8*c wrt c?
-10
Let t(j) = -j**3 + 4*j**2 + 8*j - 2. Let g be t(5). Find the second derivative of -g*l - l**3 - 4*l**3 + 0*l**3 - 2*l**3 wrt l.
-42*l
Suppose 3*k + 4*d = -4, k = -3*d - 2 - 1. What is the third derivative of 8*q**2 + 9*q**6 + 0*q**6 + k*q**6 wrt q?
1080*q**3
Let t = -5487/2 + 2745. Let a(z) be the first derivative of 0*z - t*z**2 - 5 - 14/3*z**3. Find the second derivative of a(c) wrt c.
-28
Suppose 2*x = -3*u + 48, 2*x - x - u - 29 = 0. What is the second derivative of m**3 + 11*m**4 - x*m**4 - m - m**3 wrt m?
-192*m**2
Let d(t) = 6*t + 1. Let h(a) = -294*a - 146. Let y(g) = 2*d(g) + h(g). Find the first derivative of y(k) wrt k.
-282
What is the first derivative of 7*g - 6*g + 17*g - 2 - 8 wrt g?
18
Suppose -7*q + 3 = -18. Let o(d) be the first derivative of 3/2*d**2 - d**q - 5 + 0*d. What is the second derivative of o(y) wrt y?
-6
Let m(v) be the second derivative of 22*v**5/5 - v**4/4 - 126*v**2 - 109*v. Find the first derivative of m(o) wrt o.
264*o**2 - 6*o
Suppose 2*d = 5*k - 9, 0 = -3*d - 6. Let n(q) be the first derivative of 0*q + k + 2/3*q**3 - 1/2*q**4 + 0*q**2. Find the third derivative of n(v) wrt v.
-12
Let u be -4 - (2 + -4)*9. Let d = -10 + u. What is the second derivative of -c**2 + 4*c + 2*c + 15*c**d + c**2 wrt c?
180*c**2
Let h(m) be the third derivative of 31*m**8/48 - m**5/10 - 19*m**3/6 - 624*m**2. What is the third derivative of h(o) wrt o?
13020*o**2
Suppose 0 = -f - 4*f + 40. Let o be 2*(20/f - 1). Differentiate 0 - g**3 + 3*g**o + 12 - g**3 wrt g.
3*g**2
Let x(y) be the first derivative of -17*y**4/2 + 8*y - 15. Let t(b) = 33*b**3 - 7. Let a(r) = 7*t(r) + 6*x(r). Differentiate a(h) with respect to h.
81*h**2
Let j be 100/(-4)*18/(-90). Let z(f) be the first derivative of 0*f - j + f**2 + 5/2*f**4 + 0*f**3. Find the second derivative of z(v) wrt v.
60*v
Let m(t) be the third derivative of 3*t**5/20 + t**4/12 + 7*t**3/2 - 5*t**2. Let a(i) be the first derivative of m(i). Differentiate a(s) wrt s.
18
Let a(d) = -153*d**4 - 4*d**2 - 8*d - 256. Let u(c) = -154*c**4 - 5*c**2 - 10*c - 254. Let y(m) = -5*a(m) + 4*u(m). What is the first derivative of y(s) wrt s?
596*s**3
Suppose -3*y = g - 8*y - 36, -2*y = -2*g + 48. What is the derivative of 18 - 13*f**3 + 2 + g*f**3 + 4 wrt f?
24*f**2
Suppose 0 = -16*a + 10*a. Let m(f) be the second derivative of 0*f**3 + 0*f**5 - 1/5*f**6 + 0*f**4 + 5*f + a - 2*f**2. Find the first derivative of m(w) wrt w.
-24*w**3
What is the second derivative of -529*y - 21*y**2 + 321*y**2 + 1428*y + 3*y**2 wrt y?
606
Let x = -21 + 35. Suppose 0 = -4*q + x - 2. Let k(p) = -5*p**3 + 3. Let o(t) = -t**3. Let i(y) = q*o(y) - k(y). What is the derivative of i(v) wrt v?
6*v**2
Let b(t) be the first derivative of 181*t**4/4 - 109*t**3/3 - 104. Find the third derivative of b(r) wrt r.
1086
Let i(z) = 2*z + 16. Let d be i(-5). Let x be -4*(-9)/d + -4. Find the second derivative of -v + 9*v + x*v + 4*v**2 wrt v.
8
Let x = 16 + -12. What is the derivative of x + 1 + 3*q**3 - 14*q**3 - 2 wrt q?
-33*q**2
Let l(b) = 158*b**4 - b**3 - 4*b**2 - b + 287. Let t(y) = -y**4 - y**3 - 2*y**2 - y + 1. Let a(g) = l(g) - t(g). What is the derivative of a(r) wrt r?
636*r**3 - 4*r
Let k(n) be the third derivative of -3/35*n**7 + 0 + 3*n**2 + 0*n**4 + 7/60*n**5 + 0*n**6 + 0*n**3 + 0*n. What is the third derivative of k(f) wrt f?
-432*f
Let y(r) be the first derivative of -11/2*r**2 + 26 - 9*r. Differentiate y(c) wrt c.
-11
Suppose -4*y - 8 = -2*y - 2*a, 3*a = -y + 4. Let h be ((-8)/(-3))/(y/(-9)). Find the second derivative of 4*g**5 - 11*g - 12*g + h*g wrt g.
80*g**3
Let o(n) be the first derivative of 25*n**4/4 - n**3/3 + 70*n + 13. Differentiate o(h) wrt h.
75*h**2 - 2*h
Let q(p) = -202*p**2 - 3*p + 539. Let m(x) = -204*x**2 - 2*x + 541. Let l(y) = 4*m(y) - 3*q(y). What is the first derivative of l(g) wrt g?
-420*g + 1
Let c = -251 - -251. Let a(k) be the third derivative of 0 + 0*k**3 + 1/20*k**5 - 5*k**2 - 1/12*k**4 + c*k. What is the second derivative of a(q) wrt q?
6
Let r(v) be the first derivative of -v**7/60 + v**6/36 + v**3/3 - 9. Let k(m) be the third derivative of r(m). What is the third derivative of k(x) wrt x?
-84
What is the third derivative of 154*j**5 + 195*j**2 + 17*j**2 + 89*j**2 wrt j?
9240*j**2
Suppose 15 = h + 4*h. Suppose 2*l + l = h. Differentiate 2 + l - v**4 + 0*v**4 - 4 wrt v.
-4*v**3
Let p(l) be the third derivative of -31*l**9/504 + 2*l**5/5 + l**3/3 - 66*l**2 - 1. Find the third derivative of p(t) wrt t.
-3720*t**3
Let w(q) be the first derivative of q**6/3 + 26*q**5/5 + 3*q**3 - 3*q**2/2 + 81. What is the third derivative of w(y) wrt y?
120*y**2 + 624*y
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