at is the first derivative of u(f) wrt f?
-549*f**2
Suppose y = 6*y - 25. Find the third derivative of 19*x**y - x**2 - 16*x**5 + 10*x**2 wrt x.
180*x**2
Let c(l) be the second derivative of 7*l**5/15 - 13*l**3/6 + 23*l**2/2 - l. Let r(q) be the first derivative of c(q). What is the derivative of r(m) wrt m?
56*m
What is the derivative of -81*h**2 + 47*h + 17 - 1 - 47*h wrt h?
-162*h
Find the third derivative of -r + 11*r**4 - 47*r**2 + 9*r**4 - 7 - r + 7 wrt r.
480*r
Let w(l) = -l**2 + 2*l. Let y(q) = 7*q**3 - 6*q**2 + 12*q + 51. Let x(z) = -6*w(z) + y(z). Find the first derivative of x(r) wrt r.
21*r**2
Let t(w) = 29*w**2 + 470*w - 17. Let s(v) = 9*v**2 + 157*v - 6. Let d(a) = 17*s(a) - 6*t(a). What is the second derivative of d(n) wrt n?
-42
Let a = -451 - -453. Let u(v) be the third derivative of 1/120*v**6 + 0*v**5 + 0 + a*v**2 - 1/6*v**4 + 0*v**3 + 0*v. Find the second derivative of u(t) wrt t.
6*t
What is the derivative of 62*c**3 - 135*c**3 + 44*c**3 - 133*c**3 - 94 - 108*c**3 wrt c?
-810*c**2
Let s = -1 + -3. Let p(x) = 2*x + 5. Let f(t) = 8 - 2 - 2*t - 11. Let h(b) = s*f(b) - 3*p(b). Differentiate h(r) with respect to r.
2
Let g(y) = 1337*y - 281. Let q(v) = -668*v + 139. Let l(n) = 4*g(n) + 7*q(n). What is the first derivative of l(i) wrt i?
672
Let z be (-12)/(2 - 3) + -4. What is the first derivative of 18*a - 10*a - 19 + z*a wrt a?
16
What is the third derivative of 389*u**2 - 138*u**5 + 133*u**5 - 510*u**5 - 202*u**5 wrt u?
-43020*u**2
Let o be -3 - (2 + (2 - 4)). Let y = o - -5. What is the third derivative of -15*w + w**4 + y*w**4 - 3*w**2 + 15*w wrt w?
72*w
Let i = 13 - 23. Let y = i - -12. What is the third derivative of -5*d**2 + y - 8 + 6 - 2*d**4 wrt d?
-48*d
Suppose 0 = 4*f - 4*z - 6 - 2, 0 = -4*f + z + 11. What is the first derivative of -5*a**4 - 6*a**4 - 18 + f*a**4 wrt a?
-32*a**3
Suppose -4*t + 7 = x, 0 = -t + x + 5 + 3. Find the third derivative of 41*i**5 - 32*i**5 + 16*i**2 + 4*i**t - 4*i**3 wrt i.
540*i**2
Suppose -5*p = -0*x + 2*x - 8, -2 = -3*p - 4*x. Find the first derivative of 94*n**2 + 11 - 94*n**p + 6*n**4 wrt n.
24*n**3
What is the third derivative of g**2 - 55*g**5 + 1 - 119*g**5 - 5*g**2 - 46*g**5 wrt g?
-13200*g**2
Find the third derivative of -3*w**2 + 0*w**2 + 2*w**2 + 143*w**3 - 354 + 372 + 6*w**2 wrt w.
858
Let y(x) be the third derivative of 0*x + 0*x**7 + 0*x**6 + 23*x**2 + 0*x**4 + 5/112*x**8 + 11/20*x**5 + 0 + 0*x**3. Find the third derivative of y(a) wrt a.
900*a**2
Suppose 8 = 3*s - 2*s. Let h = -23 - -28. Differentiate -h + 3 + s*x**4 - 2*x**4 with respect to x.
24*x**3
Let v = -24 - -26. Suppose 0 = -u + 1 + v. What is the first derivative of 7 + 3*z**u + 7*z - 7*z wrt z?
9*z**2
Suppose -2*b = -7 - 13. Find the first derivative of -3 + b*s**2 + 16*s + 0*s**2 - 16*s wrt s.
20*s
What is the first derivative of 3*p - 182 - 3*p + 87101*p**2 + 388*p**3 - 87101*p**2 wrt p?
1164*p**2
Suppose -9 = 3*a - 27. Find the first derivative of 14*n**4 - 60 - a*n**4 + 72 wrt n.
32*n**3
Let i(o) be the first derivative of -58*o**3/3 + 76*o - 74. Differentiate i(v) with respect to v.
-116*v
What is the third derivative of -17*d**2 + 408*d**3 + 142*d + 147*d - 435*d + 145*d wrt d?
2448
What is the third derivative of -965 - 244*s**3 + 477 + 488 + 41*s**2 wrt s?
-1464
Let h(r) be the first derivative of -9*r**4/2 + 99*r**2/2 + 91. What is the second derivative of h(j) wrt j?
-108*j
Let u(x) be the second derivative of -229*x**5/20 - 19*x**4 + 14*x - 6. Find the third derivative of u(s) wrt s.
-1374
Let x(h) = -393*h**3 - 25*h**2 - 2*h. Let u(s) = 393*s**3 + 23*s**2 + 2*s. Let q(f) = -3*u(f) - 2*x(f). Find the third derivative of q(a) wrt a.
-2358
Let a(f) be the second derivative of 0*f**2 + 0*f**4 + 7/6*f**3 + 11/10*f**5 - 11*f + 0. What is the second derivative of a(i) wrt i?
132*i
Let i be 3 + 2 - (2 - 1). Suppose -5*j - 5 + 1 = i*o, -4*j = 5*o - 4. Find the first derivative of -6*p - 11 + o*p + 3 wrt p.
-2
Let r(y) = -y**2 + 8*y + 11. Let v be r(9). What is the third derivative of -5*d**2 + d**2 - 3*d**3 - 4*d**3 - 6*d**v wrt d?
-42
Let k(p) be the third derivative of 113*p**6/60 + 7*p**4/12 - p**3/3 + 284*p**2. What is the second derivative of k(w) wrt w?
1356*w
Suppose 4*h - 6 - 13 = -u, 0 = -2*h + 8. Find the second derivative of -385*x - 7*x**3 + 392*x - 11*x**u wrt x.
-108*x
Let a(p) be the first derivative of 6*p**7 + 4*p**3/3 + 20*p - 45. What is the third derivative of a(j) wrt j?
5040*j**3
Let s be (4/(-3))/(9/(-27)). What is the derivative of 8*b**4 + 12 - 10*b**s - 4*b**4 wrt b?
-24*b**3
Let z(m) = 2*m + 1. Let c be z(10). Let f = -16 + c. What is the third derivative of 2*l**5 + 3*l**5 - 4*l**5 - 3*l**f - 7*l**2 wrt l?
-120*l**2
Suppose -a = -4*j - 23, 2*a - 5*j = -0*a + 58. Differentiate a - 3*v**3 + 36 - 70 wrt v.
-9*v**2
Let g(y) be the second derivative of -5*y**7/42 - 3*y**5/20 - 13*y**4/3 + 3*y + 2. What is the third derivative of g(w) wrt w?
-300*w**2 - 18
Let w(l) be the first derivative of l**6/45 - 5*l**4/8 + l**3 - 3. Let z(k) be the third derivative of w(k). Differentiate z(x) wrt x.
16*x
Let l(h) be the first derivative of -h**10/5040 - h**6/60 + 8*h**3/3 + 7. Let y(d) be the third derivative of l(d). What is the third derivative of y(q) wrt q?
-120*q**3
Find the third derivative of -221*d**6 - 222*d**2 + 46*d**2 + 64*d**2 + 38*d**2 - 41*d**6 wrt d.
-31440*d**3
Let l(i) = 572*i + 1088. Let f(d) = -52*d - 99. Let n(a) = -32*f(a) - 3*l(a). Differentiate n(b) wrt b.
-52
Let x be (-32)/(-40)*5/2. Find the third derivative of -3*i**6 + 15 + x*i**2 - 7 - 8 wrt i.
-360*i**3
Differentiate 81*w - w**3 - 130*w + 39 - 134 + 76*w with respect to w.
-3*w**2 + 27
Find the second derivative of 16864*s**4 - 43 - 16864*s**4 - 2*s + 417*s**5 wrt s.
8340*s**3
Let k(w) be the second derivative of -5/6*w**4 - 6*w**2 + 0 + 0*w**3 - 6*w. What is the derivative of k(y) wrt y?
-20*y
Let a(v) be the third derivative of 3*v**5/20 - v**3/2 + v**2. Let f(g) = -g + 1. Let o(c) = a(c) + 3*f(c). Find the second derivative of o(l) wrt l.
18
Let f(h) be the first derivative of -659*h**6/6 - 2*h**3/3 + 46*h + 655. What is the third derivative of f(u) wrt u?
-39540*u**2
Suppose -g + 0*u - 12 = -4*u, -u = -2. Let q be 4 + -3 + (-3 - g). Differentiate 0*t**2 - 204 + q*t**2 + 8*t**2 + 205 with respect to t.
20*t
Let f(d) be the first derivative of 4*d**7/105 + 7*d**4/6 - 6*d**2 - 15. Let v(k) be the second derivative of f(k). What is the second derivative of v(o) wrt o?
96*o**2
Suppose 0 = r + 8 + 6. Let u = r - -16. Find the third derivative of -6*m**2 + 0*m**u + m**2 + 5*m**5 + 4*m**2 wrt m.
300*m**2
Find the first derivative of 462 + 20*w**4 + 10*w**4 - 8*w**4 + 6*w**4 - 144 wrt w.
112*w**3
Let f(b) be the third derivative of 53*b**9/504 + 59*b**5/60 + 43*b**2. Find the third derivative of f(h) wrt h.
6360*h**3
Let r(h) be the third derivative of 0*h**5 + 0*h**7 - 5/112*h**8 + 0*h**3 + 0*h**6 - 17*h**2 + 2/3*h**4 + 0 + 0*h. What is the second derivative of r(q) wrt q?
-300*q**3
Let a(u) be the third derivative of -2/5*u**5 - 1/12*u**4 - 18*u**2 + 0 + 0*u + 0*u**3. Find the second derivative of a(q) wrt q.
-48
Let m(n) be the second derivative of n**4/24 - 6*n**3 - 4*n**2 - 41*n. Let d(b) be the first derivative of m(b). What is the first derivative of d(w) wrt w?
1
What is the second derivative of -261*t + 24*t - 195*t + 107*t**2 + 100*t wrt t?
214
Let y = -10 + 12. Suppose -y*n + 8 - 2 = 0. Find the third derivative of -n*x**5 + 0*x**2 + 2*x**2 - 6*x**2 - 2*x**5 wrt x.
-300*x**2
Let h be ((-1)/(-3))/((-10)/(-270)). Find the second derivative of -h*r - 6*r**4 - 4*r + r + 0*r wrt r.
-72*r**2
Let h(t) be the second derivative of 41*t**4/4 + 89*t**3/3 + 14*t + 1. Find the second derivative of h(g) wrt g.
246
What is the third derivative of -41*j**2 + 3 + 283*j**3 - 283*j**3 + 104*j**4 wrt j?
2496*j
Let k(p) be the third derivative of 0*p**6 + 0*p**5 + 3/2*p**3 + 15*p**2 + 0*p + 11/210*p**7 + 0*p**4 + 0. What is the first derivative of k(r) wrt r?
44*r**3
Let g be 0 + (-7 - -4) + 20. Let z = g + -15. What is the first derivative of 1 - 4 - 2 + z*d + 3*d wrt d?
5
Let d be 5*(32/(-176) - (-5652)/110). What is the first derivative of -130 + 30*q - 149 + d wrt q?
30
Let j(h) be the third derivative of 0 + 0*h**5 + 11/6*