0*g**3
Let m(k) be the second derivative of -8*k - 11/6*k**3 + 0 - 7/2*k**2. What is the derivative of m(u) wrt u?
-11
Let t(y) be the third derivative of y**10/280 - y**6/20 + y**3 + 3*y**2. Let f(p) be the first derivative of t(p). What is the third derivative of f(a) wrt a?
2160*a**3
Let g(m) be the first derivative of 17*m**5/120 - 5*m**4/8 - 11*m**3/3 - 14. Let t(k) be the third derivative of g(k). Differentiate t(b) wrt b.
17
Let o(l) be the third derivative of 0 - 15*l**2 - 19/6*l**3 + 3/20*l**5 + 0*l + 0*l**4. Differentiate o(k) with respect to k.
18*k
Let k(x) = x - 1. Let o(j) = -9*j - 14. Let f(i) = -17*i - 28. Let u(s) = 6*f(s) - 11*o(s). Let a(q) = -6*k(q) - u(q). Differentiate a(m) wrt m.
-3
Let c be (-1 - 1)*((-45)/2)/15. Let r(g) be the first derivative of 0*g + 0*g**2 + 8/3*g**c - 7/4*g**4 - 5. Find the third derivative of r(t) wrt t.
-42
What is the first derivative of -13*p**4 + 12*p**3 - p**4 + 6*p**4 - 52 + 10*p**4 wrt p?
8*p**3 + 36*p**2
Let r(c) = -c**3 - 5*c**2 + 2*c + 9. Let t be r(-6). Suppose -3*i + t = 3*h, -h = -4*h - 5*i + 33. Differentiate -1 + 0 - 6 + h*j**4 with respect to j.
44*j**3
Let q(b) be the first derivative of 2*b**3/3 - 19*b**2/2 - 84*b + 228. What is the derivative of q(o) wrt o?
4*o - 19
Let f(b) be the first derivative of -4*b**6/3 + b**3/3 - 173*b**2/2 - 207. What is the second derivative of f(p) wrt p?
-160*p**3 + 2
Let q(y) be the first derivative of 3*y**6/5 - 17*y**2 - 24*y - 6. Let m(d) be the first derivative of q(d). What is the derivative of m(b) wrt b?
72*b**3
Let l(m) = -2*m - 2. Let c be l(-2). Suppose c*i - 6 = -i. What is the third derivative of -4*r**i + 26*r**4 - 26*r**4 + 6*r**5 wrt r?
360*r**2
Let h(v) = 75*v**4 - 4*v**3 + 3*v**2 - 255. Let w(x) = 72*x**4 - 3*x**3 + 2*x**2 - 254. Let z(q) = -3*h(q) + 4*w(q). Find the first derivative of z(k) wrt k.
252*k**3 - 2*k
Find the third derivative of w**6 + 239*w**3 - 3*w**6 - 20 - 338*w**3 - 3*w**2 wrt w.
-240*w**3 - 594
Suppose -5*m + 25 = 3*h, 2*m - 5 = 4*h + 5. Suppose m*i - 6 = -5*l + 9, 0 = -4*l - 3*i + 10. Differentiate d**3 - 2 - l + 3 - 5 with respect to d.
3*d**2
Let x = 460 - 460. Let n(l) be the third derivative of 3*l**2 + x - 1/3*l**3 + 13/24*l**4 + 0*l. What is the derivative of n(a) wrt a?
13
What is the first derivative of 30*p + 2*p**2 - 433 + 0*p**2 - 159*p - 3*p**2 wrt p?
-2*p - 129
Let q(m) be the first derivative of m**5/6 - m**4/12 + 6*m**2 + 1. Let o(z) be the second derivative of q(z). Find the second derivative of o(b) wrt b.
20
Let s(x) be the third derivative of 23*x**2 + 0*x**5 + 1/8*x**4 + 0*x**3 - 17/168*x**8 + 0 + 0*x**6 + 0*x**7 + 0*x. Find the second derivative of s(o) wrt o.
-680*o**3
Differentiate 77205*f**2 + 264 + 211 - 77209*f**2 + 53*f wrt f.
-8*f + 53
Find the third derivative of -2601*r**4 + 2601*r**4 - r**3 - 7*r**3 + r**5 + 59*r**2 - 11*r**2 - 2 wrt r.
60*r**2 - 48
Find the first derivative of -93 + 792*c - 59 - 664*c wrt c.
128
Suppose -10 = -3*c + 26. What is the third derivative of 8*t**4 + 18*t**2 + 4*t**4 - c*t**4 + 20*t**5 wrt t?
1200*t**2
Let o(c) be the first derivative of -3*c**8/28 - c**4/3 + 9*c + 8. Let x(b) be the first derivative of o(b). Find the third derivative of x(q) wrt q.
-720*q**3
Let x be -2*(-3 + 5 + -4). Differentiate -339*g**4 + 340*g**4 + 11*g**2 + x*g**3 - 15 - 4*g**3 wrt g.
4*g**3 + 22*g
Let t(f) be the third derivative of f**6/40 - 25*f**4/24 - 145*f**3/6 - 19*f**2. What is the derivative of t(r) wrt r?
9*r**2 - 25
Suppose 2 = p + j, 3*p - 5*j + 27 - 73 = 0. Find the second derivative of p*g**2 - 20*g**2 - g + 14*g wrt g.
-26
Let c(l) = l - 7. Let t(w) = w - 6. Let k(v) = 6*c(v) - 7*t(v). Suppose 0*s + 16 = 4*s. Let y(g) = -6*g + 8. Let o(z) = s*k(z) - y(z). Differentiate o(r) wrt r.
2
Let d(j) be the first derivative of -22*j**7/7 - 3*j**5/5 - 10*j**3/3 - 3*j**2/2 - 113. Find the third derivative of d(r) wrt r.
-2640*r**3 - 72*r
Let q(v) be the first derivative of 16*v**5/5 - 2*v**4 + 143*v**2 + 71. Find the second derivative of q(w) wrt w.
192*w**2 - 48*w
Let v(a) be the second derivative of -70*a**3 + 307*a**2 + 283*a. Differentiate v(l) with respect to l.
-420
Let d(m) be the third derivative of m**6/120 + 49*m**5/60 + 51*m**4/4 + 135*m**2. What is the second derivative of d(a) wrt a?
6*a + 98
Let i(q) = 15*q**2 - 7. Let o(j) be the first derivative of -j**3/3 - 16. Let x(g) = i(g) + 5*o(g). Differentiate x(v) with respect to v.
20*v
Let b = 15 - 11. Let a(u) be the second derivative of 6*u + 0*u**b - 5/2*u**2 + 0*u**5 + 0*u**3 - 1/15*u**6 + 0. Differentiate a(n) with respect to n.
-8*n**3
Differentiate -210265*h + 20 + 210265*h - 21*h**2 wrt h.
-42*h
Let w(s) = -s**2. Suppose -7*o + 12 = 19. Let c(k) = 26*k**2 + 3. Let j(r) = o*c(r) - 3*w(r). What is the derivative of j(q) wrt q?
-46*q
Let v(t) = t**3 + t**2. Let d be v(2). Let b = 14 - d. What is the third derivative of 2*n**5 - 5*n**4 + 5*n**b + 2*n**5 + 5*n**4 wrt n?
240*n**2
Let w(t) be the first derivative of -t**2/2 - 19. Suppose 4*v + 5 = -v. Let c(m) = -3*m + 7. Let k(r) = v*w(r) - c(r). Differentiate k(n) with respect to n.
4
Differentiate -69*r**3 - 294 + 203 + 269 + 19*r**3 - 12*r**3 with respect to r.
-186*r**2
Let y be (-102)/(-8) - (-6)/(-8). Let k be -2*2*(-6)/y. Find the third derivative of 4*i**6 + 2 - i**6 - 3*i**k - 2 wrt i.
360*i**3
Let y(t) = 3*t + 41. Let r be y(-13). What is the third derivative of 49*p**4 - 15*p**4 + 27*p**r + p**2 wrt p?
816*p
Let r(d) = d**2 - 12*d + 21. Let f be r(10). Let q be f + 0 + 2 - 1. Find the first derivative of -7*x**3 + 327*x**2 - 327*x**2 - q wrt x.
-21*x**2
Let m(f) be the second derivative of f**5/10 + 37*f**3/6 + 57*f**2/2 + 22*f. What is the first derivative of m(n) wrt n?
6*n**2 + 37
Suppose 0 = -d + 11 - 3. Find the first derivative of d*f**4 - 6 - 2*f**2 + 4*f**2 - 2*f**2 wrt f.
32*f**3
Let g(n) = 20*n**3 - n**2 + n - 1. Let b be g(1). Differentiate 17 - 23 - 11*a + b wrt a.
-11
Let s(x) be the first derivative of -x**7/420 - x**4/3 - 10*x**3/3 - 7. Let h(q) be the third derivative of s(q). Differentiate h(m) with respect to m.
-6*m**2
Suppose 10*d + 5*s = 9*d + 23, 0 = 5*d - 5*s + 5. Let v(m) = m + 3. Let r be v(0). What is the third derivative of -3*t**d + 3*t**3 + r*t**2 + 4*t**3 wrt t?
24
Differentiate -103*q**2 + 107 - 99*q**2 - 105 - 118 - 111 wrt q.
-404*q
Let x = -21 - -20. Let b = 9 - x. What is the third derivative of -b - 2*s**3 + 10 - 4*s**2 wrt s?
-12
Suppose 7*y + 28 = 11*y. Let j(k) = k**2 + k + 16. Let g be j(y). Differentiate 6*c**4 - 34 + g - 39 with respect to c.
24*c**3
Let z = -95 - -134. Find the third derivative of -19*d**6 + 17*d**2 + z*d**5 + 36*d**5 - 75*d**5 wrt d.
-2280*d**3
Find the third derivative of h**2 + 13 + 4*h**3 + 0*h**2 - 380*h**6 - 3*h**2 - 4*h**3 wrt h.
-45600*h**3
Let a(j) = 10*j**4 + 3*j**3 - 6*j**2 + 3*j + 7. Let w(c) = c**4 - c**3 + 2*c**2 - c - 1. Let f(r) = -2*a(r) - 6*w(r). What is the derivative of f(p) wrt p?
-104*p**3
Let t(d) = -174*d**5 - 4*d**3 - 344*d**2 + 2*d - 2. Let z(x) = -x**5 + x**3 - x**2 - x + 1. Let v(q) = t(q) + 2*z(q). Find the third derivative of v(m) wrt m.
-10560*m**2 - 12
What is the second derivative of 13*a**5 - 3*a + 313 + 2*a - 38*a**4 + 2 - 7*a**5 - 4*a**5 wrt a?
40*a**3 - 456*a**2
Let b(s) be the second derivative of s**4/8 - 5*s**3 - s**2 + 10*s. Let i(f) be the first derivative of b(f). What is the first derivative of i(j) wrt j?
3
Let v(k) = 6*k**3 + 3*k**2 - 13*k - 34. Let a(p) = 11*p**3 + 6*p**2 - 25*p - 69. Let j(z) = -3*a(z) + 5*v(z). What is the second derivative of j(d) wrt d?
-18*d - 6
Let k(f) be the second derivative of 7/6*f**3 + 0*f**4 + 0 + 0*f**2 + 4*f - f**5. Find the second derivative of k(v) wrt v.
-120*v
Let v(x) be the third derivative of 0*x + 1/4*x**5 + 19/24*x**4 + 0 + 0*x**3 - 11*x**2. Find the second derivative of v(l) wrt l.
30
Let j = -208 - -210. Suppose 3*a = 2*o + 2*o + 12, -a + 5*o = -4. What is the third derivative of -i**2 - 13*i**6 + a*i**6 - i**j wrt i?
-1080*i**3
Let w(d) = -3*d**2 - 4*d - 2. Let a be w(-2). Let t be (-445)/a - 15/90. What is the third derivative of 6*j**2 - t + 74 + 10*j**4 wrt j?
240*j
Let n(b) be the first derivative of -18/5*b**5 + 0*b**2 + 0*b - 9 + b**3 + 0*b**4. Find the third derivative of n(r) wrt r.
-432*r
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