Differentiate a(f) with respect to f.
-3
Suppose -7*v = -2*v - 20. What is the derivative of -12*j**2 + 12*j**2 + 4*j**4 + 4*j**v - 10 wrt j?
32*j**3
What is the third derivative of -4*q**3 + q**2 - 98*q + 91*q + 4*q**3 + 0*q**3 + 132*q**5 wrt q?
7920*q**2
Suppose 9 = 6*z - 3. Find the second derivative of 19*c**2 - 12*c + 6*c**4 - 19*c**z wrt c.
72*c**2
Let n(h) be the second derivative of -5/14*h**7 + 0*h**6 + 0*h**3 + 0*h**5 + 0 + 0*h**2 - 12*h + 3/4*h**4. What is the third derivative of n(m) wrt m?
-900*m**2
What is the second derivative of 3 - 4 - 5*n - 6*n - 4*n + 74*n**2 wrt n?
148
Let w(a) = -a**2 + 7*a - 6. Let u be w(5). Suppose -u*s + 14 = 3*s. What is the third derivative of 0*l**3 + 0*l**2 - 4*l**s - 4*l**3 - 6*l**2 wrt l?
-24
Let c(a) be the second derivative of a**7/42 + 11*a**6/30 + a**3/2 + 15*a**2/2 + 89*a. What is the second derivative of c(p) wrt p?
20*p**3 + 132*p**2
Let q = -22 - -12. Let p = 12 + q. What is the first derivative of 6 - 1 - 2 + p*z**3 wrt z?
6*z**2
Suppose 0*s = 6*s - 18. Let b be (-4)/((-9 - -4) + s). What is the derivative of -9*r - 4 - 1 + b + 0 wrt r?
-9
Let m = -65 + 113. Differentiate -12*r - m*r**4 - 43 + 6*r + 6*r with respect to r.
-192*r**3
Let i = -65 + 71. Find the first derivative of -1 + i*p**4 + 8 + 11 + 3 wrt p.
24*p**3
Differentiate 33 - 64*g**2 + 30 - 32*g**2 - 16*g**2 with respect to g.
-224*g
What is the third derivative of -h + 12*h**3 + h - 86*h**2 + 23*h**4 - 52*h**4 + 25*h**4 wrt h?
-96*h + 72
Let c be 20/(-6)*(-81)/(-90)*-2. Let w(j) be the first derivative of 5/2*j**2 + 0*j**4 - 9/5*j**5 + 0*j + 0*j**3 + c. Find the second derivative of w(d) wrt d.
-108*d**2
Let d(c) be the first derivative of -14*c**3/3 - 4*c**2 + 175*c + 20. Find the first derivative of d(z) wrt z.
-28*z - 8
Let j(o) be the third derivative of o**9/7 + o**5/20 - 26*o**2. Find the third derivative of j(t) wrt t.
8640*t**3
Find the third derivative of 5*k**2 + 928*k**5 - 1476*k**5 + 46*k**2 wrt k.
-32880*k**2
Suppose 4*a = 2 + 2. Let z be ((-6)/4)/(a/(-14)). What is the third derivative of -z*m + 3*m**4 - 6*m**2 + 21*m wrt m?
72*m
What is the third derivative of 13*l**3 - 68*l**5 - 89*l**5 - 130*l**2 - 13*l**3 wrt l?
-9420*l**2
Suppose 2*s - 2*y = 3*s, 0 = 3*y + 3. Suppose -s*g - 1 = -5. What is the second derivative of -2*d**2 + 3*d**g + 4*d**2 + 0*d**2 - 2*d wrt d?
10
Let f(n) = -n**3 - 10*n**2 - 9*n + 8. Let i be f(-9). Find the second derivative of 10*o - 3*o**2 + 3*o**2 + 10*o**4 + i*o**4 wrt o.
216*o**2
Find the third derivative of -8*c**3 - 9*c + 7*c**3 + 32*c**4 + 7*c + 179*c**2 wrt c.
768*c - 6
Let v(h) be the first derivative of -199*h**4/4 - h**2/2 + 14*h + 124. What is the second derivative of v(w) wrt w?
-1194*w
Let x(m) = 10*m. Let u be x(4). Find the second derivative of u*a**4 - 18*a**4 - 12*a - 15*a**4 wrt a.
84*a**2
Let b(n) = -123*n**2 + 13*n + 276. Let v(x) = -31*x**2 + 3*x + 69. Let k(y) = -2*b(y) + 9*v(y). What is the second derivative of k(q) wrt q?
-66
Let z(d) = 2*d**2 + 3*d + 2. Let a be z(-1). What is the first derivative of -a - 9 + 10*q**2 - 6*q**2 - 3*q**2 wrt q?
2*q
Suppose -p = -6*p + 30. Suppose 0 = -2*x - p + 22. Find the third derivative of x*u**3 - 2*u**2 + 10*u**4 - 4*u**3 - 4*u**3 wrt u.
240*u
Let n(v) be the first derivative of 0*v**4 - 12 + 2/5*v**5 + 0*v**2 - 5/3*v**3 + 0*v. What is the third derivative of n(p) wrt p?
48*p
What is the third derivative of -s**2 - 380 + 380 - 25*s**2 + 2*s - 15*s**3 wrt s?
-90
What is the second derivative of -21 + 88*l**2 + 27*l**2 + 2*l + 73*l**2 - 64 wrt l?
376
Let v be (-3 - 0)*4/(-6)*2. What is the third derivative of 27*h**v - 27*h**4 - 22*h**6 + 25*h**2 wrt h?
-2640*h**3
Let i = -340 + 343. Let o(v) be the second derivative of 0 + 0*v**2 + v**i + 0*v**5 + 1/10*v**6 + 0*v**4 - v. Find the second derivative of o(k) wrt k.
36*k**2
Let k(d) be the first derivative of 147*d**4/4 - 7*d**2 + 3*d + 40. What is the second derivative of k(x) wrt x?
882*x
Suppose -2*q + 3*s + 3 + 8 = 0, 4*s = -3*q + 25. What is the first derivative of 11*k**4 - q + 23 - 6 wrt k?
44*k**3
Let k(m) = 9*m**2 - 17*m - 19. Let w(x) = -x**2 - x. Let p(i) = -k(i) - w(i). Let c(z) be the first derivative of p(z). What is the derivative of c(f) wrt f?
-16
Suppose 0*d + 9 = 3*i + d, d - 13 = -4*i. Differentiate -2*y**i - 8 + 6*y**4 + 20 + 3*y**4 with respect to y.
28*y**3
Let w(t) be the first derivative of 0*t - 8 + 0*t**4 + 0*t**5 + 4/3*t**3 + 0*t**2 - 5/2*t**6. Find the third derivative of w(m) wrt m.
-900*m**2
Suppose 5*a = -5*u - 10, a - 3*u = 4 + 10. Let r(g) be the first derivative of 3/2*g**a - 2*g + 2. Differentiate r(q) with respect to q.
3
Let g(i) = -4*i + 6. Let u be g(-3). Suppose 5*k - 7 = u. Find the second derivative of 3*o**5 - 67*o + 66*o - 11*o**k wrt o.
-160*o**3
Let f(u) be the second derivative of 661*u**5/20 - 297*u**2/2 - 157*u + 1. What is the first derivative of f(k) wrt k?
1983*k**2
What is the second derivative of 14 + 54*q**3 - 90*q - 122*q + 211*q - 7*q**2 wrt q?
324*q - 14
Let s(q) be the third derivative of -q**4/12 - 4*q**2. Let c be s(-1). Find the third derivative of -6*n**c + 78*n - 78*n + 5*n**3 wrt n.
30
What is the second derivative of 7 - 525*f**4 + 90*f**4 + 7085*f - 7071*f wrt f?
-5220*f**2
Find the third derivative of 12*m**4 + 17*m**4 - 19*m**2 + 5*m**5 - 15*m**4 - 15*m**2 wrt m.
300*m**2 + 336*m
Let u be (-5)/(5/(-40)*2). What is the third derivative of -i**2 - u*i**6 + 32*i**6 - 10*i**6 wrt i?
240*i**3
Let f(p) = -p**2 + 16*p - 26. Let n be f(14). What is the second derivative of -3*k**2 + 6*k**n + 3*k**4 + 2*k - 3*k**2 wrt k?
36*k**2
Let k = 41 + 23. Find the third derivative of 0 - k*c**6 + 65*c**6 + 0 - 31*c**2 wrt c.
120*c**3
Suppose -5*c = 4*k - 49, -5*k + 3*c + 2*c + 50 = 0. What is the second derivative of 2 + 3 + 8*o**2 - 5 - k*o wrt o?
16
Let s be (-4)/6 - 104/(-39). Let u(h) = 2*h - 8. Let o be u(6). Find the third derivative of -16*l**o - 11*l**4 + 24*l**4 + l**2 - 5*l**s wrt l.
-72*l
Let x = 13 - -11. Differentiate 3*b**2 + x - 2 - 12*b**3 - 3*b**2 wrt b.
-36*b**2
Let o(w) = 81*w + 307. Let d(s) = -s + 7. Let j(k) = -2*d(k) - 2*o(k). Differentiate j(v) wrt v.
-160
Let i = 55 + -48. What is the third derivative of 20*h**2 - 13*h + 6*h + 25*h**4 + i*h wrt h?
600*h
Let d(u) be the second derivative of -u**7/42 - 3*u**5/2 - 77*u**4/12 - u**2/2 - 672*u. What is the third derivative of d(m) wrt m?
-60*m**2 - 180
Let u(j) = j**2 + j - 4. Let q = 18 - 21. Let t be u(q). Find the second derivative of 3*z**2 - 5*z + 13*z - 14*z**t + 18*z**2 wrt z.
14
Suppose 7*r - 14 = 7. Let c be (-3)/6*(-66)/r. Differentiate -c*s + 2 - 7 - 7 wrt s.
-11
What is the third derivative of 0*g**4 + 2581*g**3 - 394*g**2 - 2*g**4 - 2575*g**3 + 108*g**2 wrt g?
-48*g + 36
Let d = 87 + -185. Let c be (4/(-7))/(28/d). What is the second derivative of 5*g**c - 2*g - g**2 - 3*g**2 - 4*g**2 wrt g?
-6
Let j(b) be the third derivative of -37*b**9/504 - b**6/120 + b**5/60 + 8*b**4 + 28*b**2. What is the third derivative of j(v) wrt v?
-4440*v**3 - 6
Let j = 6 - 2. Differentiate j*s - 3*s + 3*s**3 - s + 14 wrt s.
9*s**2
Let n(b) be the second derivative of 51*b**8/56 + 5*b**4/2 + b**2 + 10*b. What is the third derivative of n(r) wrt r?
6120*r**3
Let s(c) = -251*c**2 + 12*c + 7. Let i(r) = -502*r**2 + 22*r + 15. Let b(n) = 6*i(n) - 11*s(n). What is the derivative of b(f) wrt f?
-502*f
Let s be -6 - (75/(-6) - -6). Let c(x) be the first derivative of -4 + s*x**2 - x. Differentiate c(r) with respect to r.
1
Let x = -25 + 20. Let r(c) = -31*c**2 + 5*c - 46. Let b(m) = -15*m**2 + 3*m - 23. Let l(j) = x*b(j) + 3*r(j). What is the first derivative of l(s) wrt s?
-36*s
Let a(c) be the first derivative of c**9/84 - c**5/20 - 9*c**2/2 + 4. Let x(q) be the second derivative of a(q). What is the third derivative of x(y) wrt y?
720*y**3
Let a = 131 + -129. Let d(g) be the third derivative of 0*g**4 + 0*g**5 + 0 + g**a + 0*g**6 + 2/105*g**7 + 1/6*g**3 + 0*g. What is the derivative of d(f) wrt f?
16*f**3
Let f be 99/55*20/6. What is the second derivative of f*i**3 - 2*i + 21*i**2 - 21*i**2 + i wrt i?
36*i
Let r(t) = 9*t - 1. Let a = -45 + 48. Let m(x) = -8*x + 1. Let p = 10 + -6. Let k(w) = a*r(w) + p*m(w). Find the first derivative of k(i) wrt i.
-5
Let s(x) = -21*x**