f g(f) wrt f?
84
Let f(q) be the second derivative of 0 + 5*q**2 - 11*q + 4/3*q**3. Differentiate f(u) with respect to u.
8
Let i(l) be the second derivative of -1/3*l**3 + 7/20*l**5 + 0*l**2 + 0*l**4 + 10*l + 0. Find the second derivative of i(m) wrt m.
42*m
Let i(z) be the second derivative of 0*z**4 + 0 + 0*z**2 + 13/3*z**3 + 0*z**6 + 0*z**5 - 13/21*z**7 + 24*z. What is the second derivative of i(k) wrt k?
-520*k**3
Let h(k) be the second derivative of -8*k**5 + 115*k**4/6 + 3*k + 25. Find the third derivative of h(f) wrt f.
-960
Let t(a) = 6*a**4 + 20*a**3 - 4*a - 126. Let k(r) = 5*r**4 + 19*r**3 - 3*r - 125. Let y(b) = 4*k(b) - 3*t(b). What is the first derivative of y(d) wrt d?
8*d**3 + 48*d**2
Suppose 18 - 20 = -n. What is the third derivative of 31*u**n + 27*u**2 - 56*u**2 + 11*u**6 wrt u?
1320*u**3
Find the second derivative of 10 - 2 - 16 - 578*b**2 - 2*b + 149*b**2 + 178 wrt b.
-858
Let k(b) = 2*b + 4. Let l(d) = -118*d - 688. Let i(f) = -6*k(f) + l(f). Differentiate i(t) with respect to t.
-130
Let p = -25 + 28. Find the first derivative of -7 - p*y**2 - 2 + 2 wrt y.
-6*y
Let f(d) be the first derivative of 1/24*d**5 + 0*d**2 + 0*d - 2/3*d**3 - 4 + 1/12*d**4. Let x(m) be the third derivative of f(m). Differentiate x(j) wrt j.
5
Let u(i) = 31*i + 2. Let m(z) = -1. Let o(p) = 5. Let t(f) = -4*m(f) - o(f). Let n(y) = 3*t(y) + u(y). What is the derivative of n(b) wrt b?
31
Let x = -49289/20 - -2465. Let n(z) be the second derivative of 0*z**4 + z**3 + 0*z**2 + 0 - x*z**5 + 8*z. Find the second derivative of n(f) wrt f.
-66*f
Find the third derivative of -g**2 + 2*g**2 + 104*g**3 + 2*g**2 - 2*g**2 - 52 wrt g.
624
What is the derivative of 95 + 2 + 47 - 5*v**3 - 8 + 0*v**3 - 8*v**2 wrt v?
-15*v**2 - 16*v
Let r(k) be the first derivative of 0*k**2 - 2 - 1/6*k**6 + 0*k + 0*k**4 + 0*k**5 - 11/3*k**3. Find the third derivative of r(c) wrt c.
-60*c**2
Let j(y) be the first derivative of 80*y**7/7 - 4*y**3/3 + 13*y + 74. What is the third derivative of j(o) wrt o?
9600*o**3
Suppose -81 = -4*b - 5*a + 456, 2*a = 3*b - 420. Let f be (-9)/15 - b/(-30). What is the derivative of 13 - 6 - 8*r**4 + 21*r**f + 5 wrt r?
52*r**3
Let n(x) be the second derivative of 0*x**5 + 0*x**2 - 14*x + 1/21*x**7 - 1/4*x**4 + 0*x**3 + 0*x**6 + 0. Find the third derivative of n(s) wrt s.
120*s**2
Suppose j - 4*g + 7 = 0, 4*g - 11 = -3*j + 16. Let k be (-16)/(-9) + 8/36. What is the first derivative of -6 + 42*m**2 - 42*m**k + j*m**4 wrt m?
20*m**3
Let b(u) be the third derivative of -13*u**9/252 - u**5/3 - 23*u**2. Find the third derivative of b(t) wrt t.
-3120*t**3
Let f = 444 - 442. Let i be (-25)/(-4) - (-2)/(-8). Find the second derivative of i + b - f - b**4 - 4 wrt b.
-12*b**2
Suppose 4*m = -4*k + 48, 4*m + k - 28 = 17. Suppose m = 3*x - 5*f, -3*x + 6 = 3*f + 3. Find the first derivative of -2 - 2*i**x - 1 + 3*i**2 wrt i.
2*i
Let a(d) = 60*d**3 + 35*d**2 - 4*d + 291. Let t(s) = -2*s**3 - 5*s**2 + s - 1. Let k(c) = 2*a(c) + 14*t(c). What is the derivative of k(w) wrt w?
276*w**2 + 6
What is the third derivative of -29*k**5 + 8*k**5 + 5*k**2 - 52*k - k**4 + 33*k wrt k?
-1260*k**2 - 24*k
Let q(t) = t**4 + 4*t**3 + 4*t**2 + 7. Let j(l) = -4*l**2 - l**3 + 3*l**2 - l**2 + l**2. Let i(b) = 4*j(b) + q(b). What is the first derivative of i(y) wrt y?
4*y**3
Let m(c) = -2*c**3 + c**2 - c + 1. Let j(t) = -2*t**4 + 51*t**3 - 6*t**2 + 24*t - 12. Let x(w) = -j(w) - 6*m(w). Find the second derivative of x(r) wrt r.
24*r**2 - 234*r
Let x(f) = 334*f**3 + 4*f + 409. Let l(m) = -1669*m**3 - 22*m - 2047. Let b(j) = 2*l(j) + 11*x(j). Differentiate b(a) with respect to a.
1008*a**2
Let i(h) = 2*h**2 + 2*h - 15. Let m be i(-4). What is the third derivative of -39*d**2 - d**5 - 2*d**5 - m + 9 wrt d?
-180*d**2
Let o be (12 - 1)*(-1 + 2). Suppose -2*n - v + 0*v + o = 0, -3*n = 2*v - 16. Find the first derivative of 2 - n*t**4 - 5 - 4 wrt t.
-24*t**3
Suppose 27 = n + 5*i, -3 = n - i - 0*i. Let g(y) be the second derivative of 0 - 5/2*y**n - 1/2*y**3 + 3*y. What is the first derivative of g(w) wrt w?
-3
Let h be ((-18)/45)/(382/(-190) - -2). Find the second derivative of -333*y + h*y**5 - 16*y**5 + 328*y wrt y.
440*y**3
Let p(f) = -2*f + 14. Let l be p(5). Find the second derivative of 7*h + 55*h**4 - 25*h**l - 13*h**4 wrt h.
204*h**2
Let c(a) = 9*a**2 - 15. Let x be 1/((-30)/50 + (-32)/(-70)). Let t(m) = 2*m**2 + 4*m**2 - 8 - 2*m**2. Let o(i) = x*t(i) + 4*c(i). Differentiate o(q) wrt q.
16*q
Suppose -2*a - 10 = 5*h, 2*a - 6 = -2*h + h. Let w = 575 - 564. Find the second derivative of -9*c + 2*c - w*c**a + 12*c**5 wrt c.
20*c**3
What is the third derivative of 38*u**2 - 16*u - 4*u**3 + 129*u**2 - 15*u + 31*u - 16*u**4 wrt u?
-384*u - 24
Let y(s) be the third derivative of -169*s**6/60 - 43*s**5/20 - s**3/3 - s**2 - 2. What is the third derivative of y(r) wrt r?
-2028
Let p(k) be the first derivative of -2*k**3 + 12*k**3 + 2*k**7 - 7*k**3 + 14. What is the third derivative of p(z) wrt z?
1680*z**3
Let l = 3 - -2. Suppose 3*n + 0*n - 4*d - 26 = 0, -4*n + l*d + 33 = 0. What is the third derivative of 0*s - 7*s**3 + n*s - 2*s**2 - 2*s wrt s?
-42
Let m = -1712 - -1715. Let s(y) be the second derivative of -2*y**2 + 0 + 0*y**4 + 7*y + 0*y**m - 1/4*y**5. Differentiate s(k) wrt k.
-15*k**2
Find the first derivative of -74*c**4 - 25308 + 26256 - 364*c**4 - 167*c**4 wrt c.
-2420*c**3
Let v(c) = c**4 + c**3 + c - 1. Let r(p) = -2*p**4 + 11*p**3 - 116*p**2 - 3*p + 3. Let w(m) = -r(m) - 3*v(m). Find the third derivative of w(z) wrt z.
-24*z - 84
Suppose 4*k + 4*i - 20 = 0, 1 = -k + 4*i - 3*i. Find the third derivative of 2*r**3 + 6*r**4 + 13*r**4 + 46*r**k - 5*r**4 wrt r.
336*r + 12
Let a(l) = 2*l**2 + 36*l - 35. Let f be a(-19). Suppose -m + 5*r = -3*m + 4, 0 = 2*r. What is the third derivative of u**m + u - u**f - u wrt u?
-6
Let j(z) = -z**3 - 6*z**2 + 9*z + 10. Let x be j(-7). Let o = x - -5. Find the first derivative of 2 + 13*u + o - 10*u wrt u.
3
Find the third derivative of 186*v**2 - 29*v**4 - 466*v**2 - 245*v**4 wrt v.
-6576*v
Let a(n) = -4. Let l(p) = 1. Let y(m) = -2*a(m) - 7*l(m). Let z(j) = 4*j**2 + 17. Let k(o) = 5*y(o) - z(o). What is the first derivative of k(c) wrt c?
-8*c
Let s(p) be the first derivative of -p**8/42 - 13*p**4/24 + 9*p**2/2 - 4. Let u(g) be the second derivative of s(g). Find the second derivative of u(l) wrt l.
-160*l**3
Let g(h) = 32*h**3 - 14*h - 2. Let c(x) = 97*x**3 - 43*x - 7. Let q = 109 - 116. Let r(j) = q*g(j) + 2*c(j). Find the second derivative of r(u) wrt u.
-180*u
Let j(y) be the third derivative of -5*y**2 + 0*y - 2/3*y**5 + 0*y**4 - 1/3*y**3 + 0. What is the first derivative of j(l) wrt l?
-80*l
Let c(l) be the second derivative of 223*l**5/10 + 107*l**4/6 - 3*l + 10. What is the third derivative of c(w) wrt w?
2676
What is the third derivative of 38*x**2 - 51*x - 35*x**5 + 2*x**3 - 39*x**2 + 12*x - 28*x - 34*x**5 wrt x?
-4140*x**2 + 12
Let f(h) be the third derivative of -h**8/336 - 19*h**7/210 + 7*h**5/60 + 7*h**3/6 - 90*h**2. Find the third derivative of f(z) wrt z.
-60*z**2 - 456*z
Suppose 0 = -4*b - 16, -x - 4*b + 5*b = -19. What is the third derivative of x*t**2 - 269*t + 16*t**4 + 269*t wrt t?
384*t
Let u(l) = -16*l**2 + 53*l - 8. Let k be u(3). Let p(j) be the second derivative of -k*j**2 + 0*j**3 + 0*j**4 - 3/20*j**5 - 10*j + 0. Differentiate p(i) wrt i.
-9*i**2
Let p(a) = -2*a**3 - 4*a + 29. Suppose q + 6*q + 35 = 0. Let h(d) = 3*d**3 + 5*d - 30. Let j(v) = q*p(v) - 4*h(v). Differentiate j(u) wrt u.
-6*u**2
Suppose -3*j = v - 15, 0*v + 3*v = -4*j + 25. Suppose -2*n = -4*n + 6. Find the first derivative of 1 + 6*g**3 + 0*g**v + 0*g**n wrt g.
18*g**2
Let o(k) = k + 15. Let r be o(-11). Suppose -3*v - 18 = -4*j + 18, r*j = 5*v + 28. What is the third derivative of -56*d**3 + 58*d**3 - j*d**2 + 2*d**2 wrt d?
12
Let t(q) be the second derivative of -70*q**3/3 - 36*q**2 + 129*q. Find the first derivative of t(m) wrt m.
-140
Find the second derivative of -334 + 5*k**3 + 11*k**2 + 180 - 8*k + 167 wrt k.
30*k + 22
Let p(u) be the second derivative of -17*u**6/60 - u**5/6 + 4*u**2 + 5*u. Let j(g) be the first derivative of p(g). Find the third derivative of j(c) wrt c.
-204
Let x(u) be the second derivative of 11*u**6/5 + u**5/5 + 89*u**3 + u - 431.