.
13
Let a = -66 + 66. Let f(v) be the first derivative of -2/5*v**5 + v**3 + a*v + 0*v**4 + 2 + 0*v**2. Find the third derivative of f(h) wrt h.
-48*h
Let d(i) be the first derivative of 5*i**3/3 - i - 7. What is the first derivative of d(s) wrt s?
10*s
Suppose -3*x = -4*n - 1, 5*x - 15 = 2*n - 4. Find the first derivative of 12 - 4*p**3 + 4*p**2 - 5 - 4*p**n wrt p.
-12*p**2
Let g(k) = k**2 - 4*k. Let i(d) = d**2 - 5*d. Let s(p) = -p. Let b(w) = -i(w) + 4*s(w). Let c(a) = -2*b(a) - g(a). What is the second derivative of c(n) wrt n?
2
Let h(i) be the second derivative of i**7/6 - i**3 + 2*i. Find the second derivative of h(f) wrt f.
140*f**3
Let s(c) be the first derivative of c**8/14 - c**4/12 + 2*c + 1. Let d(x) be the first derivative of s(x). What is the third derivative of d(v) wrt v?
480*v**3
Let g(a) be the first derivative of 2*a**3 + 30*a - 3. Differentiate g(u) with respect to u.
12*u
Let a(f) be the third derivative of -5*f**8/56 + f**5/6 + 6*f**2. Find the third derivative of a(h) wrt h.
-1800*h**2
Let a(f) be the first derivative of -f**4/12 + f**3/2 + 3*f**2/2 - 3. Let x(y) be the second derivative of a(y). Find the first derivative of x(t) wrt t.
-2
Let r = -2 + 5. Suppose -m - 5*f = -2*f - 7, 0 = -3*m - r*f + 9. What is the derivative of m - 2*i - 1 - 1 wrt i?
-2
Let a(l) = l. Let w(o) = -5*o + 9. Let p(b) = -3*a(b) - w(b). Let x be p(6). Find the third derivative of k**2 + k**2 - k**2 + k**x wrt k.
6
Let q(o) be the first derivative of -6*o**5/5 + 10*o**3/3 - 9. What is the third derivative of q(l) wrt l?
-144*l
What is the second derivative of -39*m**3 + 4*m + 13*m - 35*m**3 + 60*m**3 wrt m?
-84*m
Let a = -26 - -26. Let m(r) be the second derivative of r + 0 + 1/10*r**5 + r**2 + a*r**3 + 0*r**4. What is the derivative of m(y) wrt y?
6*y**2
Find the third derivative of -2*w**2 - w**2 + 0*w**4 + 4*w**4 wrt w.
96*w
Let n(v) be the second derivative of -2*v + 1/6*v**3 + 3/2*v**2 + 0. Differentiate n(r) with respect to r.
1
Let v = -127 - -127. Let m(i) be the second derivative of v - 1/2*i**3 + i**2 - i. What is the derivative of m(l) wrt l?
-3
Let k(r) be the third derivative of 13*r**7/210 + r**3/2 + 5*r**2. Find the first derivative of k(o) wrt o.
52*o**3
Suppose 3*x + 1 = 10. What is the second derivative of -x + 3 + 3*q - q**4 wrt q?
-12*q**2
Let f(j) be the second derivative of j**7/6 - j**4/6 + 13*j**3/2 + 54*j. What is the second derivative of f(z) wrt z?
140*z**3 - 4
Let u(m) = 39*m**3 - 11*m**2 + 7*m - 7. Let i(v) = 19*v**3 - 6*v**2 + 3*v - 3. Let h(o) = -7*i(o) + 3*u(o). What is the third derivative of h(w) wrt w?
-96
Let y(u) = -u**2 - 7*u - 7. Let h be y(-5). What is the second derivative of 2*r**2 + 5*r**2 + 3*r - h*r - 2*r wrt r?
14
Suppose -6*h = -2*h - 144. Differentiate 3*l**2 + h + 4*l - 4*l - 34 with respect to l.
6*l
Let l(h) be the first derivative of h**6/360 + h**4/4 - h**3 - 6. Let o(d) be the third derivative of l(d). Find the first derivative of o(g) wrt g.
2*g
Let n(g) be the third derivative of -g**6/120 - g**4/8 - 5*g**3/6 + 2*g**2. Let y(k) be the first derivative of n(k). Differentiate y(z) with respect to z.
-6*z
What is the second derivative of -3*n**2 - 8*n + 6*n - 4*n wrt n?
-6
What is the third derivative of -15*r**2 - 10*r**3 + 65*r**3 + 11*r**3 wrt r?
396
Let u be -2 + (-2)/2 + 5. Let p(a) be the first derivative of 3*a**u + 1 - 3*a**2 + 0 + 3*a - a**3. Find the first derivative of p(o) wrt o.
-6*o
Let w(t) = -3*t - 5. Let q(b) = -2*b - 4. Let y(x) = -4*q(x) + 3*w(x). Let l be y(-4). What is the third derivative of 3*j**l + 8*j - 8*j - 4*j**2 wrt j?
180*j**2
Let k(o) be the second derivative of -o**7/14 - 4*o**6/15 + o**4/2 - 49*o. Find the third derivative of k(v) wrt v.
-180*v**2 - 192*v
Suppose -a - 4 = -3*a. Let x(m) be the second derivative of m + m**a + 0 - 1/3*m**3. Find the first derivative of x(d) wrt d.
-2
Find the second derivative of 8*l + 10*l + 27*l**4 + 42*l wrt l.
324*l**2
Let j = -8 + 13. Let n(t) be the first derivative of 3/2*t**2 + 0*t**3 + 1 - 3/5*t**j + 0*t + 0*t**4. Find the second derivative of n(f) wrt f.
-36*f**2
Suppose 3*u = 3*f - 36 + 12, -28 = -3*f + 5*u. Suppose -k + 9 = 5*n, -7 = -f*n + 2*n - k. Find the third derivative of n*w**4 + 0*w**4 + 2*w**2 + 0*w**2 wrt w.
48*w
Let o(v) = v**4 + v**3 - v**2 + 1. Let j(q) = -24*q**4 - 12*q**3 + 9*q**2 - 12. Let x(y) = -j(y) - 12*o(y). What is the third derivative of x(w) wrt w?
288*w
Let v(i) be the first derivative of -2*i**4/3 + i**3 - 8*i - 8. Let j(t) be the first derivative of v(t). What is the second derivative of j(y) wrt y?
-16
Let z(a) be the second derivative of 7*a**6/30 - 4*a**2 - 4*a. What is the derivative of z(b) wrt b?
28*b**3
Let a(n) be the first derivative of 14*n**6/3 + 38*n**3/3 + 1. Find the third derivative of a(p) wrt p.
1680*p**2
Let u(h) = 11*h - 2. Let t(r) = 5*r - 1. Let n(z) = -7*t(z) + 4*u(z). Differentiate n(j) wrt j.
9
Find the third derivative of 67*u**3 - 20*u**2 - 82*u**3 - 2*u + 2*u wrt u.
-90
Let m(u) = -u + 10. Let j be m(5). What is the second derivative of -2*t**j + 2*t + 5*t**5 + 2*t**4 - 2*t**4 wrt t?
60*t**3
Find the second derivative of 5*a**3 - 18*a**3 + 9*a**3 - 2*a wrt a.
-24*a
Let t(w) = -14*w**3 - 2*w**2 - 10*w - 2. Let k(f) = -29*f**3 - 5*f**2 - 20*f - 5. Let c(h) = -2*k(h) + 5*t(h). What is the second derivative of c(s) wrt s?
-72*s
Let o(j) be the first derivative of -j**6/5 - 3*j**2/2 - 6*j + 3. Let q(t) be the first derivative of o(t). What is the first derivative of q(b) wrt b?
-24*b**3
Let l(d) be the first derivative of 0*d**2 + 6 + 2*d - 7/3*d**3. Differentiate l(g) with respect to g.
-14*g
Let i(z) be the second derivative of -z**6/30 + 5*z**2/2 + 2*z. Differentiate i(n) with respect to n.
-4*n**3
Let n(c) be the second derivative of 0*c**2 + 0*c**5 - 1/6*c**4 + 0*c**3 - c + 0 - 1/15*c**6. What is the third derivative of n(w) wrt w?
-48*w
Let a(i) = -i**2. Let x(f) = -7*f**2 - 5 + 0*f**2 - 3 + 4. Let m(s) = -6*a(s) + x(s). What is the first derivative of m(g) wrt g?
-2*g
Let c(y) = 67*y + 66. Let l(w) = 45*w + 44. Let u(h) = 5*c(h) - 8*l(h). What is the derivative of u(t) wrt t?
-25
What is the third derivative of 5*q**4 + 2*q**4 + 48*q**5 - 7*q**4 + 29*q**2 + 2*q**4 wrt q?
2880*q**2 + 48*q
Let k(d) = 10*d - 3. Let q(l) = l**2 + 9*l - 2. Let v(w) = -2*k(w) + 3*q(w). Find the second derivative of v(m) wrt m.
6
What is the first derivative of 1570 + 2*q**4 - 1561 - q**4 wrt q?
4*q**3
Let u(o) be the second derivative of 3*o**5/4 - 13*o**4/6 - 55*o. What is the third derivative of u(j) wrt j?
90
Suppose -3*w = -3 - 3. What is the third derivative of 3*i**2 - 2*i**2 + 3*i**w - 3*i**4 - 7*i**2 wrt i?
-72*i
Find the second derivative of 11*k - 15*k - 28*k**2 - 27*k wrt k.
-56
Let a(l) be the second derivative of -3*l**3/2 - 3*l**2/2 - 3*l. Let w(h) = 5*h + 1. Let f(c) = -2*a(c) - 5*w(c). What is the derivative of f(r) wrt r?
-7
Suppose -2*o = -2*v - 12, -7 - 7 = 4*v - 2*o. Let t = 0 - v. Differentiate y**3 + 0*y**3 + t + 1 wrt y.
3*y**2
Let v(j) be the third derivative of j**9/126 + j**5/15 + 2*j**2. Find the third derivative of v(r) wrt r.
480*r**3
Let m(y) be the first derivative of 9*y**2/2 + 35*y - 14. Differentiate m(g) with respect to g.
9
Let d(y) be the third derivative of 7/60*y**5 + 0*y**6 + 0 + 0*y**4 + 0*y + y**2 + 0*y**7 + 1/336*y**8 + 0*y**3. What is the third derivative of d(k) wrt k?
60*k**2
Suppose 0*x - 1 = -x. Let z be ((-2)/2)/(x/(-3)). What is the second derivative of -4 + f - 2*f**3 + 4 + z*f wrt f?
-12*f
Let b(v) be the third derivative of -5*v**8/336 - v**4/24 - 4*v**2. Find the second derivative of b(s) wrt s.
-100*s**3
Let r be 30/(-4) - 1/(-2). Let p(b) = -b - 4. Let l be p(r). Find the third derivative of -d**2 - l*d**3 + 3*d**6 - d**2 + 3*d**3 wrt d.
360*d**3
Suppose 0 = -t - t + 12. What is the first derivative of -2 - 3 + 0 - 10*j**3 + t wrt j?
-30*j**2
Let t(w) be the second derivative of w**4/6 - 5*w**2 + 3*w. What is the first derivative of t(k) wrt k?
4*k
Let s(l) = -l - 6. Let v(u) = 9. Let t(p) = 1. Let c(q) = -3*t(q) + v(q). Let r(y) = 4*c(y) + 3*s(y). Differentiate r(h) wrt h.
-3
Let u(m) be the second derivative of 0*m**3 + 0 - 1/12*m**4 + 1/10*m**6 + 0*m**5 + 0*m**2 - 2*m. What is the third derivative of u(z) wrt z?
72*z
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