t(x) = -2*o(x) - 9*r(x). Find the first derivative of t(h) wrt h.
8*h
Let f(s) be the second derivative of s**6/6 + 13*s**2 + 31*s. What is the first derivative of f(a) wrt a?
20*a**3
Let s(d) = -2*d + 11. Let p be s(9). Let h = -5 - p. Find the third derivative of 10*b**5 - 4*b**2 + 6*b**6 - 6*b**h - 10*b**5 wrt b.
720*b**3
Let b(h) = -16*h - 1. Let y be b(-1). Suppose -3*g + y = -0*g. Differentiate -29*t + 34*t + 0 - 1 - g wrt t.
5
Let i(s) be the second derivative of -59*s**4/4 + 12*s**2 - 3*s + 48. What is the derivative of i(x) wrt x?
-354*x
Let g be 2/(-15) + (-1068)/90. Let h = -5 - g. What is the derivative of -h*k**4 - 3 + 38*k**3 - 38*k**3 wrt k?
-28*k**3
Suppose -t = -2*g - 8, 3*g - g = 3*t - 12. What is the second derivative of -3*j**t + 0*j**2 - 2*j**2 + 2*j**2 - 12*j wrt j?
-6
Let a(b) be the first derivative of b**3/3 + b**2/2 + 11. Let s(c) = 18*c**2 - 2*c - 16. Let i(z) = -2*a(z) - s(z). Find the first derivative of i(p) wrt p.
-40*p
Suppose 2 = -2*y - 2*n + 6, 4 = 2*y + 4*n. Differentiate 2*u**3 - 7*u**3 - 1 + 0 - y with respect to u.
-15*u**2
Let i be 45/6 + (-3)/6. What is the third derivative of i*y**5 + y**4 + y**2 - y**4 - 8*y**5 wrt y?
-60*y**2
Let i(m) be the second derivative of m**8/56 - m**4/12 + 2*m**2 - 20*m. Let d(s) be the first derivative of i(s). What is the second derivative of d(y) wrt y?
120*y**3
Let i(n) be the second derivative of 11*n**7/21 - 25*n**4/4 - n + 58. Find the third derivative of i(t) wrt t.
1320*t**2
Find the first derivative of 27*n**2 - 27*n**2 - 4*n**4 - 96 + 118*n**4 wrt n.
456*n**3
Let n(v) = 6*v**2 + 2. Let y = 16 + -14. Let c(o) = -102*o + 6 + 18*o**y + 102*o. Let z(d) = 2*c(d) - 7*n(d). Differentiate z(b) wrt b.
-12*b
Let w(c) be the third derivative of -3*c**8/112 - 2*c**7/105 - 133*c**5/60 + c**2 - 1. What is the third derivative of w(h) wrt h?
-540*h**2 - 96*h
Let f be (-9)/(-2) + (-1)/(-2). Suppose 0*h = -f*h + 15. What is the second derivative of -4*x**5 + h*x + x - x**5 + 4*x**5 wrt x?
-20*x**3
Let p(x) be the first derivative of 343*x**6/6 - 940*x**3/3 - 46. Find the third derivative of p(z) wrt z.
20580*z**2
Let x(v) be the second derivative of v**4/6 - 95*v**3/3 + 2*v - 80. Find the second derivative of x(k) wrt k.
4
Let n(g) be the first derivative of 89*g**7/7 + g**6/3 + 65*g**3/3 + 135. Find the third derivative of n(l) wrt l.
10680*l**3 + 120*l**2
Let o(a) be the third derivative of a**7/420 + a**5/40 + 3*a**3/2 - 10*a**2. Let v(j) be the first derivative of o(j). Find the second derivative of v(b) wrt b.
12*b
Let k(w) be the second derivative of -23*w + 0*w**2 + 5/12*w**4 + 29/6*w**3 + 0. What is the second derivative of k(v) wrt v?
10
Let r(q) be the third derivative of 11*q**5/60 + q**4/8 + 173*q**3/6 + 61*q**2. Find the first derivative of r(l) wrt l.
22*l + 3
Let k = -15 - -19. Find the first derivative of k + 8*u + 12 + 3 wrt u.
8
Let p(k) be the third derivative of 29*k**7/210 - 29*k**5/20 - 76*k**2. What is the third derivative of p(l) wrt l?
696*l
What is the derivative of 696*p**3 + 50*p**2 + 694*p**3 - 30 - 1389*p**3 - 91 wrt p?
3*p**2 + 100*p
Let v(k) be the second derivative of 4*k**7/21 - 3*k**5/20 + 31*k**3/6 - 3*k**2 + 361*k. Find the second derivative of v(n) wrt n.
160*n**3 - 18*n
Suppose -5 = -y - 2*w, 0 = -4*y - 2*w + 24 + 14. Differentiate 21*i + 34 - y + 1 with respect to i.
21
Let q(c) = -69*c + 213. Let u(f) = -69*f + 212. Let m(i) = -5*q(i) + 4*u(i). Differentiate m(w) wrt w.
69
Differentiate 0*u**2 - 2*u**2 - 38*u**3 + 473 + 343*u**3 + u**2 wrt u.
915*u**2 - 2*u
Let j(i) be the third derivative of i**8/84 + 47*i**4/24 + 90*i**2 + i. Find the second derivative of j(r) wrt r.
80*r**3
Let c(o) be the third derivative of -67*o**6/120 - 2*o**4/3 + 83*o**2. What is the second derivative of c(l) wrt l?
-402*l
Let p(b) be the first derivative of -22*b**5 + 55*b + 137. What is the derivative of p(x) wrt x?
-440*x**3
Let m(k) = 13*k**3 + 5. Let z(t) = 1 - 5 + 3 + 0. Let f(g) = -m(g) + 3*z(g). Differentiate f(n) wrt n.
-39*n**2
Let t(c) = -c**2 - 8*c - 10. Let a be t(-5). Suppose -a = 3*h - 14. What is the first derivative of h*g**4 - 6 + g**4 - 6 + 14 wrt g?
16*g**3
Let c(u) = u**3 - u**2. Let t(w) = 39*w**4 + 3*w**3 + 13*w**2. Let l(j) = -3*c(j) + t(j). What is the third derivative of l(a) wrt a?
936*a
Let c(b) be the third derivative of b**7/105 - b**6/120 - 19*b**5/60 + 5*b**4/24 + 156*b**2. Find the third derivative of c(x) wrt x.
48*x - 6
Suppose -i = 4*p - 12, -4 = -3*p + 2. Let z(m) = m**3 - 30*m**2 + 59*m + 30. Let l be z(28). Differentiate l*r**2 - 114*r**2 + r**3 + i with respect to r.
3*r**2
Let s(k) be the third derivative of -203*k**5/60 - 50*k**3 + 241*k**2. Differentiate s(h) with respect to h.
-406*h
Let v(f) = -59*f + 44*f - 5*f**2 + 3*f**3 + 16*f**3. Let a(r) = -9*r**3 + 2*r**2 + 8*r. Let x(p) = 5*a(p) + 2*v(p). Find the second derivative of x(y) wrt y.
-42*y
Let v be 6 + (-1)/2*6. Find the first derivative of -v + 11 + 1 + 5*p**4 wrt p.
20*p**3
Let l(p) = -4*p**4 + 8. Let n(h) = -h**4 + 1. Let y = 31 - 55. Let w(s) = y*n(s) + 2*l(s). Differentiate w(d) with respect to d.
64*d**3
Let f = 11 + -8. Suppose 2*q = -4*u + 30, -u = 2*q + f*q - 30. What is the third derivative of u*l**2 + 4*l**2 - 3*l**2 - 4*l**6 + 3*l**6 wrt l?
-120*l**3
Let c(r) = r**2. Let i(o) = 9*o**2 + o + 51. Let x(n) = -10*c(n) + 2*i(n). Differentiate x(q) with respect to q.
16*q + 2
What is the third derivative of -49*z**4 + 98 - 78*z**4 - 1914*z**2 + 1915*z**2 wrt z?
-3048*z
Let j = -71 + 73. Find the third derivative of -7*k**j + 55*k**4 - 55*k**4 + 2*k**6 wrt k.
240*k**3
Suppose -24 = 78*a - 79*a. What is the third derivative of -f**2 + a*f**3 + 18*f**3 + 2*f**2 - 9*f**3 wrt f?
198
Let v(r) be the third derivative of 0*r**3 + 0*r**6 + 0*r + 0*r**4 - 1/8*r**8 + 0*r**7 + 43/60*r**5 + 0 - 32*r**2. Find the third derivative of v(q) wrt q.
-2520*q**2
Let s(w) = 6*w - 54. Let g be s(10). Find the third derivative of 11*u**2 + 42*u**6 + 15*u**2 + 7*u**2 - 22*u**g wrt u.
2400*u**3
Let g be (-101)/(-4) + 2/(-8). What is the second derivative of -1 + g*f**2 + 1 - 749*f + 746*f wrt f?
50
Find the second derivative of 8*r**2 - 2*r + 61 - r**4 - 104 - 2*r**2 wrt r.
-12*r**2 + 12
Let m(n) = -n**4 - 2*n**2 + 3*n + 1. Let k(r) = -r**4 - r**3 + 687*r**2 - 12*r - 4. Let l(a) = k(a) + 4*m(a). What is the third derivative of l(z) wrt z?
-120*z - 6
Let p = -1047 + 10471/10. Let u(m) be the third derivative of -p*m**5 + 0 - 1/6*m**4 + 0*m**3 + 0*m + 7*m**2. What is the second derivative of u(x) wrt x?
-12
Let y(o) = 44*o. Let m(l) = 5*l. Let b(q) = 52*m(q) - 6*y(q). Let t be b(-1). Differentiate 5*j**4 + 6*j**4 + 5 - 7*j**t wrt j.
16*j**3
Let a(l) be the second derivative of 0 + 14*l - 5/2*l**3 + 0*l**5 - 17/30*l**6 + 0*l**4 + 0*l**2. Find the second derivative of a(s) wrt s.
-204*s**2
Let o = 72 + -63. What is the second derivative of o*r**4 + 0*r**4 - 8*r**4 - 13*r**4 - 6*r wrt r?
-144*r**2
Let c = -53 + 76. Suppose 3*v = 22 + c. What is the derivative of -4*b + v - 2 + 12*b wrt b?
8
Let m(x) be the first derivative of -11*x**6/120 - 7*x**5/60 - 10*x**2 - 9. Let q(d) be the second derivative of m(d). Find the third derivative of q(k) wrt k.
-66
Let s(r) be the second derivative of r**6/30 - 7*r**5/4 + 209*r**4/12 + 7*r + 3. What is the third derivative of s(p) wrt p?
24*p - 210
Let i = -41 - -48. Find the second derivative of -45*c**4 + 29*c**4 - i*c - c wrt c.
-192*c**2
Let d(p) = -19*p**4 - 6*p**3 - 444*p - 10. Let f(c) = 28*c**4 + 9*c**3 + 666*c + 14. Let q(a) = -7*d(a) - 5*f(a). Find the second derivative of q(m) wrt m.
-84*m**2 - 18*m
Let u(p) be the third derivative of 89*p**8/336 - 49*p**4/24 - 76*p**2. Find the second derivative of u(d) wrt d.
1780*d**3
Let j(y) = -y**2 + 22*y + 11. Let r be j(20). What is the third derivative of -r*o**5 - 22*o**2 + 14*o**5 + 15*o**5 wrt o?
-1320*o**2
Let l = -103 + 163. Let w be (l/(-25))/(2/(-5)). What is the third derivative of 0*m**2 + 2*m**2 - 9*m**w - m**2 + 7*m**6 wrt m?
-240*m**3
Differentiate -2*x**2 + 79*x**4 + 84*x**4 + 2*x**2 - 11 - 31*x**4 - x**2 wrt x.
528*x**3 - 2*x
Let t(p) be the second derivative of 0 + 0*p**3 - 17/12*p**4 + 0*p**5 + 4*p + 3/10*p**6 + 0*p**2. What is the third derivative of t(f) wrt f?
216*f
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