47 + 672*f + 667*f - 1300*f with respect to f.
39
Let x(q) = -q**2 + q. Let b(o) = -50*o**4 + 3*o**2 + 34*o. Let r(u) = b(u) + 3*x(u). Find the second derivative of r(h) wrt h.
-600*h**2
Let u(y) be the first derivative of y**5/4 + 4*y**2 - 2*y - 10. Let p(t) be the first derivative of u(t). Differentiate p(d) with respect to d.
15*d**2
What is the first derivative of -25 + 72*u**3 + 40 + 74 - 13 wrt u?
216*u**2
Let n(c) be the second derivative of 341*c**4/6 - c**3/3 - 751*c**2/2 + 11*c + 10. Find the second derivative of n(i) wrt i.
1364
Let o(q) = 32*q**3 + 7*q - 374. Let i(r) = 11*r**3 + 2*r - 125. Let t(b) = 10*i(b) - 3*o(b). Find the first derivative of t(l) wrt l.
42*l**2 - 1
Let a be (-30)/195 + (-28)/(-13). Find the third derivative of 2*h**2 + 5*h**2 - 11*h**a - h + 21*h**4 wrt h.
504*h
Let r(p) be the second derivative of 0*p**5 - 1/3*p**4 + 0 + 0*p**2 - 1/5*p**6 + 0*p**3 - 20*p. What is the third derivative of r(w) wrt w?
-144*w
Suppose 27*v = 28*v. Let c(x) be the second derivative of 0*x**4 + 6*x + 0 + 1/20*x**5 + 1/6*x**3 + v*x**2. What is the second derivative of c(y) wrt y?
6*y
Let l(x) = 81*x + 13. Let k(m) = m - 2. Let n(q) = 5*k(q) - l(q). What is the derivative of n(p) wrt p?
-76
Let w(o) be the first derivative of 191*o**6/3 + 27*o**2 + 6*o + 825. Find the second derivative of w(v) wrt v.
7640*v**3
Let o = 1663 - 1657. Let g(q) be the first derivative of 0*q**3 + 0*q + 0*q**5 + 0*q**4 - 5 + 3/2*q**o - 3*q**2. What is the second derivative of g(x) wrt x?
180*x**3
Let u be 16/6*21/28. Suppose 4*p + u = 18. What is the second derivative of 5*w - 2*w - 7*w**p + 2*w**4 wrt w?
-60*w**2
Let r = 57 + -34. Differentiate -12*k**4 + 12*k**4 - r - 7*k**4 wrt k.
-28*k**3
Let o(g) be the third derivative of -113*g**7/105 - 17*g**5/60 - g**3/6 - 28*g**2. Find the third derivative of o(b) wrt b.
-5424*b
Suppose 0 = -4*w - 1 + 9. Let z(n) = n**3 + 2*n**2 - 3*n + 2. Let r be z(-3). Find the third derivative of -5*j**r + 0*j**3 + w*j**3 + 9*j**3 + 10*j**2 wrt j.
66
What is the second derivative of -21958*l**2 + 18*l**4 + 47*l + 3*l**3 + 21958*l**2 wrt l?
216*l**2 + 18*l
Suppose 7*x - x = 0. Let p(f) be the second derivative of 0*f**4 + x*f**2 - f**3 - 1/4*f**5 + 0 + 2*f. Find the second derivative of p(k) wrt k.
-30*k
Suppose -3*s = -2*p - 2, 0*s - 4*p = -3*s - 8. Find the third derivative of -91*k**s - 12*k**2 + 77*k**4 + 2*k**2 wrt k.
-336*k
Let w(g) = -302*g**3 + 2*g**2 - 5*g - 603. Let q(f) = 302*f**3 - 2*f**2 + 6*f + 605. Let l(j) = -5*q(j) - 6*w(j). What is the third derivative of l(r) wrt r?
1812
Let u(a) = 3*a**2 - 10*a + 188. Let d(g) = -3*g**3 - g**2 - g + 1. Let y(z) = 3*d(z) + u(z). Differentiate y(x) with respect to x.
-27*x**2 - 13
Let d(c) be the first derivative of 0*c**5 - 9 + 0*c + 0*c**4 + 31/7*c**7 + 0*c**2 + 10*c**3 + 0*c**6. What is the third derivative of d(t) wrt t?
3720*t**3
Let k = -2177 + 2180. Let j(i) be the first derivative of -3*i + 2 + 0*i**4 + 0*i**2 + 9/5*i**5 + 0*i**k. What is the first derivative of j(s) wrt s?
36*s**3
What is the third derivative of -485*x**4 - 19*x**2 + 2*x**6 - 46*x**5 + 485*x**4 - 6*x wrt x?
240*x**3 - 2760*x**2
Let i(s) = s**2 - 8*s + 4. Let y be i(8). Suppose 6 = y*x - 2*x. Differentiate -2*q**3 + 1 + 1 + 3 - x*q**3 wrt q.
-15*q**2
Let w(d) be the third derivative of 0 - d**3 + 1/12*d**4 + 0*d - 13*d**2. Find the first derivative of w(q) wrt q.
2
Let r(w) = 4*w**3 - 6*w - 1. Let h = 17 - 22. Let l(a) = 5*a**3 - 5*a - 1. Let c(u) = h*r(u) + 6*l(u). Differentiate c(n) wrt n.
30*n**2
Let z(o) be the first derivative of 2*o**7/35 - o**5/20 - o**2 + 12. Let y(i) be the second derivative of z(i). What is the third derivative of y(h) wrt h?
288*h
Let q = 74 + -40. Differentiate 3*i - 32 - 3*i + q*i + 61 with respect to i.
34
Suppose 0 = 5*x + 5*z + 15, 5*z = 9 - 34. Find the second derivative of -4*l**5 - x*l - 7*l + l**5 wrt l.
-60*l**3
Let c(r) = -r**2 + 1. Let k(d) = -28*d**2 + d - 101. Let s(l) = -2*c(l) + k(l). Find the first derivative of s(i) wrt i.
-52*i + 1
Suppose u - 4*d - 136 = 0, 0*d = u + d - 131. Find the second derivative of -62*o + 4*o**2 - 60*o + u*o wrt o.
8
Let k(y) = 193*y**2 + 20*y + 78. Let a(v) = 64*v**2 + 7*v + 26. Let t(o) = -11*a(o) + 4*k(o). What is the second derivative of t(s) wrt s?
136
What is the third derivative of 7*o**4 + 810*o - 3*o**4 - 606*o**2 + 3*o**3 - 810*o + 24*o**4 wrt o?
672*o + 18
Let x(i) be the first derivative of 368*i**3/3 + 137*i**2/2 + 2*i + 246. What is the second derivative of x(d) wrt d?
736
Suppose 2*r + 5*y + 16 = -0*r, -5*r = 4*y + 6. Suppose r*j + 19 = 39. Find the third derivative of -9*b**2 + j*b**4 - b**4 + b**4 wrt b.
240*b
Let j be (-2)/9 + (-762)/(-27) + -3. What is the second derivative of 6*d**3 + 3*d**3 - 9*d**3 - j*d**5 - 6*d wrt d?
-500*d**3
Differentiate 29*i - 21 - 70*i + 45*i with respect to i.
4
Let d(y) be the second derivative of -14*y**3/3 + 39*y**2/2 - 60*y. What is the derivative of d(s) wrt s?
-28
Let d(g) be the second derivative of 33/20*g**5 + 4*g**2 + 0 + 0*g**3 + 33*g + 0*g**4. Differentiate d(j) wrt j.
99*j**2
Let b(q) = -q**3 + 0*q + 0*q**3 - 2 + 1 - q - q**2. Let i(t) = -8*t**3 + t**2 + 2*t + 1. Let w(j) = -b(j) - i(j). Find the second derivative of w(d) wrt d.
54*d
Let v(s) = -s**2 - 6*s - 3. Let w = 13 + -18. Let a be v(w). Find the third derivative of 5*y**a - 3*y**2 - y**2 - 7*y**4 + 6*y**4 wrt y.
-24*y
Let g(h) be the second derivative of -h**6/360 - 3*h**5/40 + 37*h**4/12 - 5*h. Let p(j) be the third derivative of g(j). Differentiate p(a) wrt a.
-2
Let z(t) be the second derivative of t**7/252 + 7*t**5/120 - t**4/3 + 9*t. Let u(g) be the third derivative of z(g). Differentiate u(c) with respect to c.
20*c
Let u = 19 - 17. Let z be (12/(-7))/((-4)/14). Find the third derivative of -z*k**3 + 6*k**2 - 14*k**u + 5*k**2 wrt k.
-36
Suppose -3*s + 4*i + 53 = 19, 3*s + 3*i - 27 = 0. What is the third derivative of -s*k**5 - 7*k**5 - 15*k**2 - 4*k**2 + 4*k**2 wrt k?
-1020*k**2
Let f(i) be the third derivative of 0*i**3 + 0*i + 0*i**5 - 5/24*i**4 - 7*i**2 + 0 + 1/120*i**6. Find the second derivative of f(c) wrt c.
6*c
Suppose 0 = 4*l - 3*l - 10. Suppose l*o = 4*o + 12. What is the second derivative of -2*q + q + 7*q**o - 2*q**2 - 4*q wrt q?
10
Let z be 12/3 + (-2 - -3 - 2). What is the second derivative of -3642*g**2 - 41*g**z + 3642*g**2 - 14*g wrt g?
-246*g
Differentiate -143 - 320*p**3 - 325*p**3 + 971*p**3 - 327*p**3 - 6*p**2 with respect to p.
-3*p**2 - 12*p
What is the second derivative of -1 - 7*f - 10*f + 26*f + 28*f + 35*f + 84*f**2 wrt f?
168
Let o(p) be the second derivative of -13*p**5/4 - 127*p**4/12 + 6*p - 4. What is the third derivative of o(d) wrt d?
-390
What is the third derivative of -357*k**2 + 550*k**3 - 121*k**2 - 1276*k**3 + 15*k**3 wrt k?
-4266
Let q(u) be the first derivative of 411*u**4/4 - 13*u**3/3 + 229. Find the third derivative of q(x) wrt x.
2466
Let r(n) be the first derivative of -5*n**3/2 - 13*n**2/2 - 13*n - 7. Let y(f) be the first derivative of r(f). Find the first derivative of y(w) wrt w.
-15
Suppose 5*h = 10 + 5. Suppose -3*p - h*c = -12, -3*c + 2 = -p - p. What is the third derivative of -2*v**2 - v**4 + v**2 + 2*v**4 + p*v**2 wrt v?
24*v
Let b(u) be the second derivative of u**5/20 - 3*u**4/4 - 19*u**3/2 - u**2 - 4*u - 13. Find the second derivative of b(d) wrt d.
6*d - 18
Let r = -37 - -42. What is the first derivative of -3*k + 25 + 5 - 17*k + r wrt k?
-20
Find the second derivative of 17*t**3 - 9654*t**2 + 9654*t**2 - 7*t wrt t.
102*t
Let u(y) be the first derivative of -141*y**5/5 - 128*y - 105. Find the first derivative of u(r) wrt r.
-564*r**3
Suppose a = -3*a + 8. What is the first derivative of 7 - 2*p**2 + 1 - 4*p**a + 3 wrt p?
-12*p
Let c(h) = -4*h - 1. Let r(i) = -16*i**2 + 6*i + 100. Let n(u) = 4*c(u) + r(u). What is the first derivative of n(j) wrt j?
-32*j - 10
Let d(m) = m**2 + 3*m + 417. Let t(g) = 4*g**2 + 5*g + 834. Let k(l) = -5*d(l) + 2*t(l). What is the first derivative of k(f) wrt f?
6*f - 5
Let v(t) be the second derivative of 0*t**2 - 9*t + 0*t**3 + 1/4*t**4 + 0 + 1/5*t**5. Find the third derivative of v(n) wrt n.
24
Let p(w) = -w**2 - 2*w. Let d(v) = -140*v**2 + 6*v + 191. Let s(x) = -d(x) - 2*p(x). Differentiate s(g) wrt g.
284*g - 