with respect to x.
6
Let v(h) = h - 5. Let r be v(-11). Let g = r + 22. What is the second derivative of 5*w**2 - 3*w + w**2 + g*w wrt w?
12
Let o(t) be the first derivative of -8/3*t**3 + 0*t**2 + 5/2*t**6 - 20 + 0*t**4 + 0*t**5 + 0*t. What is the third derivative of o(u) wrt u?
900*u**2
Suppose 0 = 5*z - 158 - 52. Suppose 4*x + 2*u - 36 = 0, -5*x - 2*u + 2 = -z. Find the first derivative of -x + 3*l - 2*l - l - 9*l wrt l.
-9
Let z(s) be the third derivative of s**7/42 + s**5/4 - s**4/8 - 5*s**3/6 + 11*s**2 + 7. Find the second derivative of z(h) wrt h.
60*h**2 + 30
Let r(v) = -3*v - 21. Let g(d) = -8*d - 63. Let c(k) = -2*g(k) + 7*r(k). Let y(h) = 6*h + 20. Let t(q) = -4*c(q) - 3*y(q). Differentiate t(m) with respect to m.
2
Let l(u) = 3*u - 7 + 3*u + u**2 - 3*u - 7. Let o be l(-6). What is the first derivative of -2*n + n - 2*n + 12 - o*n wrt n?
-7
Let f(u) be the first derivative of -9 + 0*u**2 + 0*u**3 - 3/2*u**4 + 5*u. What is the first derivative of f(o) wrt o?
-18*o**2
Find the third derivative of -19*s**4 - 323*s**5 + 9*s**4 + 3*s**3 + 9*s**4 - 20*s**2 - 4 - 3*s**3 wrt s.
-19380*s**2 - 24*s
Let v = 12 + -10. Find the third derivative of 9*l**v - 31*l**2 + 14*l**4 + 7*l**4 wrt l.
504*l
Let k(l) = l**3 - 2*l**2 + l. Let u(w) = -100*w**3 - 22*w**2 - 6*w. Let p(n) = -6*k(n) - u(n). What is the third derivative of p(c) wrt c?
564
Let b(d) = -6 + 4 + 15*d**3 + 0 + 6 - 8*d**2. Let l(m) = -31*m**3 + 17*m**2 - 7. Let h(o) = 7*b(o) + 4*l(o). Find the third derivative of h(y) wrt y.
-114
Let q(o) = -3*o**2 + 18*o + 20. Let p(t) = -151 + 90 + 6*t**2 + 2*t**2 - 33*t - 22*t. Let x(w) = 4*p(w) + 11*q(w). Differentiate x(r) wrt r.
-2*r - 22
Find the third derivative of -44*m**2 - 20*m**3 - 35*m**2 - 14*m**2 - 15*m**3 wrt m.
-210
Let j(f) be the second derivative of -f**7/120 + f**5/24 + f**3 - f. Let k(n) be the second derivative of j(n). Find the second derivative of k(z) wrt z.
-42*z
Differentiate -155 + 50*r**3 - 151*r**2 - 156*r**2 + 307*r**2 with respect to r.
150*r**2
Let x(z) = z + 1. Let n be x(2). Let l be ((-15)/25)/(2/(-10)). What is the derivative of -l*r + n + 6*r - 2*r + 3 wrt r?
1
Let k = -97 - -151. What is the second derivative of -2*f - 15*f**4 + 54*f**2 - k*f**2 wrt f?
-180*f**2
Let h(f) = -f**2 - 9*f - 6. Let l be h(-6). Let g = -10 + l. What is the third derivative of -8*a**6 + 17*a**6 - 2*a**6 + 7*a**g wrt a?
840*a**3
Let s be (0 - -3)/3*-15. Let q = -15 - s. What is the second derivative of q*i + i + i**5 + 0*i**3 + 0*i**3 wrt i?
20*i**3
Let m(c) = 5*c**2 - 9*c. Let d(r) = r. Let a(g) = g**2 + 2*g - 1. Let z be a(-2). Let i(f) = z*m(f) + 2*d(f). Find the second derivative of i(j) wrt j.
-10
Let m(c) be the second derivative of -7*c**6/15 + c**5/10 + 19*c**3/6 - 13*c + 1. What is the second derivative of m(v) wrt v?
-168*v**2 + 12*v
Let r = -16 - -31. Suppose r = 3*h, -3*z - h = h - 22. Differentiate 329*g - 4*g**z + 8 - 329*g wrt g.
-16*g**3
Let j = 14 - 12. What is the third derivative of u**2 + 3*u**2 + j*u**5 + 2*u**2 - 14*u**5 wrt u?
-720*u**2
Let k(h) be the second derivative of -7*h + 0 - 9/2*h**3 + 15/2*h**2. What is the derivative of k(j) wrt j?
-27
Find the second derivative of -13*z - 24*z**3 + 28*z + 17*z**5 + 24*z**3 wrt z.
340*z**3
Suppose 3*n + 3*g + 27 = 6*n, n - 5*g = 21. Suppose n*u - 10 = 20. What is the derivative of u - 4 + 1 + 4 - 4*t wrt t?
-4
Let u(r) = r**2 - 13*r - 9. Let f be u(14). What is the third derivative of 63*h**2 - 39*h**2 + h**5 - 2*h**f wrt h?
-60*h**2
Let a be 4 - 4/(16/(-4)). Find the second derivative of 15*i - 25*i**a + 2684*i**3 - 2684*i**3 wrt i.
-500*i**3
Let t(r) be the first derivative of -r**4/4 + 20*r**3 - 209*r + 496. Differentiate t(i) with respect to i.
-3*i**2 + 120*i
What is the second derivative of -36*p - 5*p**3 + 141*p + 26*p**4 - 25*p**4 wrt p?
12*p**2 - 30*p
Let s be ((-18)/4)/9*-6. Suppose d - s + 0 = 0. What is the derivative of -17 + d*o + 4*o + 3 + 1 wrt o?
7
Let o = -7 - -11. Let y(g) be the first derivative of 0*g + g**5 - 3 - 3 - o*g. What is the first derivative of y(n) wrt n?
20*n**3
Let k(j) be the first derivative of -11*j**6/2 + 19*j**2/2 + 69. What is the second derivative of k(q) wrt q?
-660*q**3
Let u = -106 - -108. What is the third derivative of 2*g**u - 43*g**5 + 2*g**2 - 5*g**2 - g**2 wrt g?
-2580*g**2
Let f be (-24)/(-54) - 1311/(-27). Differentiate 24*q - 1 + q + f wrt q.
25
Let t be -5 + 4 + (-2)/(-1). Suppose 0 = -5*n + 9 + t. Find the second derivative of -m**n + 0*m**2 - m + 13*m**2 + 3*m wrt m.
24
Let j(w) be the second derivative of 0*w**3 + 0*w**5 + 15*w + 5/42*w**7 + 0 - 19/12*w**4 + 0*w**6 + 0*w**2. What is the third derivative of j(t) wrt t?
300*t**2
Suppose -4*m = -3*y + 1, 0*m = 3*m - 3*y + 3. Let t be (-4)/(-14) + (-26)/(-7). Find the second derivative of 2*i**2 - 17*i + 5*i**m + 13*i - t*i**2 wrt i.
6
Let g(n) = 491*n**4 - 8*n**3 - 8*n**2 + 12*n - 65. Let k(d) = -2*d**3 - 2*d**2 + 3*d + 1. Let w(q) = g(q) - 4*k(q). Differentiate w(i) wrt i.
1964*i**3
Let a(d) be the third derivative of -3*d**8/4 - d**4/6 - 89*d**3/6 + d**2 + 17. Find the second derivative of a(o) wrt o.
-5040*o**3
Let m(y) = y**3 - 15*y**2 + 28*y - 16. Let q be m(13). What is the second derivative of q*r + 6*r - 5*r + 4*r + 34*r**5 wrt r?
680*r**3
Let h(r) be the second derivative of -21*r**5/20 + 5*r**2/2 + r + 8. Find the first derivative of h(n) wrt n.
-63*n**2
What is the third derivative of -693*v**2 + 3826*v**4 - 7743*v**4 + 3840*v**4 wrt v?
-1848*v
Let u(f) be the second derivative of 233*f**4/12 + 151*f**3/6 - 594*f. What is the second derivative of u(j) wrt j?
466
Suppose 0 = -5*a + 15. What is the second derivative of 8*l**3 + 8*l**4 + 9*l + 8*l - 8*l**a wrt l?
96*l**2
Suppose 45 = 5*y + 2*q, -21 + 3 = -2*y + q. Suppose 36 + y = 5*v. What is the second derivative of 21*b**2 + 3*b - v*b**2 + 4*b**3 - 12*b**2 wrt b?
24*b
Let k(t) = -t**2. Suppose -2*i - 6*g + g = -18, 2*i + g = 10. Let p(q) = 6*q**2 + 2. Let x(n) = i*k(n) + p(n). What is the first derivative of x(y) wrt y?
4*y
Let h(q) be the second derivative of 0*q**4 + 0*q**2 + 0 + 22*q - 2/5*q**5 + 2/3*q**3. What is the second derivative of h(s) wrt s?
-48*s
Suppose -2*a = -a + 11. Let j(m) = -m**3 - 10*m**2 + 9*m - 16. Let y be j(a). Differentiate -y - 4*o**4 + 3*o**4 - 2*o**4 wrt o.
-12*o**3
Let v be ((10 + -10)/8)/(-3). Let y(q) be the first derivative of 6 - 8/5*q**5 - 4/3*q**3 + 0*q**2 + v*q**4 + 0*q. What is the third derivative of y(p) wrt p?
-192*p
Suppose 8 = 5*a - 2. Find the second derivative of 62*k**2 - 65*k**a - 4*k + 15*k wrt k.
-6
Suppose -3*d + 0*h + 82 = 5*h, -d - 5*h + 44 = 0. Differentiate 3 + 4*u**4 - 12 + d wrt u.
16*u**3
Let p(k) = 51*k**3 + 3*k - 11. Let q(i) = 26*i**3 + 2*i - 6. Let h(c) = -6*p(c) + 11*q(c). What is the second derivative of h(u) wrt u?
-120*u
Let a = 75 + -37. Let u = a + -33. Find the second derivative of -4*g**5 - 7*g - g**u - g**5 wrt g.
-120*g**3
Suppose 0 = 5*k - 4*k - 6. Find the third derivative of v**4 + 17*v**2 - k*v**4 - 12*v**4 wrt v.
-408*v
Let w be ((2 - 1)/1)/((-3)/(-6)). Let v(d) = 12*d**2 + 35. Let i(p) = 11*p**2 + 36. Let o(t) = w*v(t) - 3*i(t). Find the first derivative of o(c) wrt c.
-18*c
Let q(i) be the first derivative of -2*i**6/3 - 23*i**3/3 - i**2/2 + 31*i + 294. Find the second derivative of q(b) wrt b.
-80*b**3 - 46
Suppose 2*k + 4*o = 12, 3*o = -3*k - 2*o + 17. Find the second derivative of -9*h**5 + 0*h**3 - 3*h**3 - 15 - h + 3*h + k*h**5 wrt h.
-100*h**3 - 18*h
Suppose 2*y - 34 = -0. Let s(j) = j**3 - 18*j**2 + 17*j + 13. Let t be s(y). Find the third derivative of -10*a**2 - 4*a**4 + 13 - t wrt a.
-96*a
Let v(j) be the first derivative of j**9/432 - j**5/12 - 14*j**3/3 + 3. Let g(p) be the third derivative of v(p). What is the second derivative of g(m) wrt m?
140*m**3
Let s(p) = -239*p**4 - 3*p**2 - 94*p. Let h(y) = y**4 + y**2 + 2*y. Let r(l) = 6*h(l) + 2*s(l). Find the second derivative of r(k) wrt k.
-5664*k**2
Let c(u) be the second derivative of u**4/4 + u**3/6 + 6*u**2 - 9*u. Let d(z) be the first derivative of c(z). What is the first derivative of d(t) wrt t?
6
Suppose 2*d + 2*d = 32. Let c(b) = -b**2 + 9*b - 5. Let z be c(d). Find the third derivative of -11*g**6 + 0*g**2 + 17*g**6 + z*g**2 wrt g.
720*g**3
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