3
Let s(o) be the first derivative of 23*o**3/6 - 8*o**2 - 24*o - 22. Let u(j) be the first derivative of s(j). What is the first derivative of u(h) wrt h?
23
Let t be 1/((-13)/(-3) - 4). Suppose -2 = i - u, -4*i - t*u + 10 + 10 = 0. Find the third derivative of -f**i - 52 + 6*f**3 + 52 wrt f.
36
Suppose 2*s = -3*s + 65. Find the second derivative of -s*d - 11*d + 25*d + 2*d**3 - 14*d wrt d.
12*d
Let j be (-15)/6 + (-3)/6. Let y(t) = 2*t**2 + 6*t + 2. Let b be y(j). Find the first derivative of 2*q**3 + 2*q**3 - b - 4*q**2 + 4*q**2 wrt q.
12*q**2
Let n = -1874 + 1874. Let d(p) be the third derivative of -10*p**2 + 0*p + 1/40*p**6 + n - 1/3*p**3 + 0*p**4 + 0*p**5. Differentiate d(q) wrt q.
9*q**2
Suppose 0*o = 5*o + 125. Let k be 8/5 - 10/o. What is the third derivative of 3*p**4 + 5 + p**k - 5 wrt p?
72*p
Let r(g) = -37*g**2 - g + 1. Let s(x) = 73*x**2 + 2*x - 2. Let o = -94 + 101. Let h(a) = o*r(a) + 4*s(a). What is the second derivative of h(t) wrt t?
66
Let u(h) = h**3 + 9*h**2 + 7*h - 4. Let f be u(-8). Find the third derivative of -26*r**4 + r**2 + 3*r**2 - r**2 + 28*r**f wrt r.
48*r
Let h(z) be the second derivative of -155*z**4/4 - 119*z**3/6 - 591*z. What is the second derivative of h(a) wrt a?
-930
Find the second derivative of 7 - 5 + 1277*t**2 - 1396*t**2 + 15*t wrt t.
-238
Find the third derivative of -22*m**6 - 20*m**2 + 236*m**5 + 6*m**3 - 9*m**3 - 236*m**5 wrt m.
-2640*m**3 - 18
Let w(z) be the first derivative of 0*z + 8/3*z**3 + 8*z**2 + 6. What is the second derivative of w(y) wrt y?
16
Let l(n) be the third derivative of -59*n**7/210 + 23*n**4/12 + 89*n**2. What is the second derivative of l(y) wrt y?
-708*y**2
Let u(r) = r**4 - r**3 + r - 1. Let m(o) = 3*o**4 + 14*o**3 + 18*o**2 + 8*o - 6. Let q(g) = m(g) - 6*u(g). What is the third derivative of q(s) wrt s?
-72*s + 120
Find the third derivative of -2*q**5 - 264*q + 152*q**2 + 2*q**5 - 53*q**6 + 264*q wrt q.
-6360*q**3
Let q(x) = -4*x**3 - 83*x**2 + 81*x - 6. Let u(j) = 11*j**3 + 247*j**2 - 243*j + 16. Let i(l) = 8*q(l) + 3*u(l). What is the second derivative of i(d) wrt d?
6*d + 154
Let o(q) be the third derivative of 0*q + 0 + 0*q**3 - 1/105*q**7 + 0*q**6 + 0*q**4 - 2/5*q**5 + 17*q**2. What is the third derivative of o(s) wrt s?
-48*s
Let o(b) be the second derivative of 0 - 31/6*b**3 + 16*b**2 - 6*b. Find the first derivative of o(f) wrt f.
-31
Find the second derivative of q + 10*q**5 - 5*q**5 - 65*q**4 + 127*q**4 + 41 - 61*q**4 wrt q.
100*q**3 + 12*q**2
Suppose -2*n - 20 = -4*a, a - 2*n + n - 6 = 0. What is the derivative of -o**4 + 4*o**4 + 4 - a + 5 wrt o?
12*o**3
Let f(x) be the first derivative of -x**4/4 + 5*x**3/3 + 57*x**2 + 163. Find the second derivative of f(q) wrt q.
-6*q + 10
Suppose 3*f - t + 4 = 2*f, -17 = 3*f - 4*t. Suppose f = -o + 5*b, 0*o + o - 3*b = 1. What is the second derivative of -12*y - 13*y**4 - o*y**4 + 4*y**4 wrt y?
-156*y**2
Suppose g + 4 + 9 = -4*y, 0 = -3*y + 3*g - 21. Let i be 0 - 4/(2 + y). What is the second derivative of -3*d + 6*d**2 - d**i - 4*d**2 + 0*d**2 wrt d?
2
What is the second derivative of 6*f + 106*f**4 - 5*f + 6*f**3 - 5*f**3 - 5*f - 13 + 0*f**3 wrt f?
1272*f**2 + 6*f
Let b(n) = -70*n**3 - 5*n**2 + 2*n + 17. Let z(g) = -35*g**3 - 3*g**2 + g + 8. Let i(m) = -3*b(m) + 5*z(m). What is the second derivative of i(t) wrt t?
210*t
Let o = 6 - 1. Suppose 3*p + 16 = -0*v - o*v, v - 7 = -4*p. What is the third derivative of -p*g**2 - 4*g**5 + 5*g**2 + g**2 wrt g?
-240*g**2
Let p(o) = -o**2 + 12*o + 3. Let i be p(12). Find the third derivative of 226*u**2 + u**i - u**3 - 190*u**2 - 31*u**6 wrt u.
-3720*u**3
Let l(s) be the first derivative of 86*s**5/5 - 2*s**2 + 5*s - 108. Find the second derivative of l(g) wrt g.
1032*g**2
Let g(p) = 351*p**3 - 3*p**2 + 4*p + 20. Let z(o) = 352*o**3 - 2*o**2 + 3*o + 20. Let q(x) = -3*g(x) + 4*z(x). What is the third derivative of q(u) wrt u?
2130
Let h(b) be the third derivative of 61*b**7/210 - 19*b**3/2 - 12*b**2 - 2. What is the derivative of h(w) wrt w?
244*w**3
Suppose 0 = 5*x + 3*j - 248, 0 = -3*x - 2*j + 64 + 84. Find the second derivative of 7*s - s**4 - x*s**3 + 0*s**4 + 52*s**3 wrt s.
-12*s**2
Let i be -5 + 36/(-6 - -10). Let n(p) be the first derivative of -i - 2/3*p**3 + 0*p**2 + 0*p - 5/4*p**4. Find the third derivative of n(c) wrt c.
-30
What is the first derivative of -3*v + 24*v - 9*v + 31*v + 151 wrt v?
43
Suppose 0 = 4*g + 4*u, 0*g + 3*g - 12 = 3*u. Suppose -g*b - 9 = -13. Find the second derivative of -10*l + 12*l**2 - 25*l**2 + 4*l**2 + b*l**2 wrt l.
-14
Let k = -58 + 75. What is the third derivative of 295*t**5 + 45*t**2 - k*t**2 - 268*t**5 wrt t?
1620*t**2
Let v = 2/35 + 13/140. Let m(q) be the second derivative of 0*q**3 + 0 + 1/2*q**2 - 5*q - v*q**5 + 0*q**4. Differentiate m(u) wrt u.
-9*u**2
Find the second derivative of -51*g**3 + 76*g - 104*g**3 - 26*g**3 - 93*g**3 - 123*g**3 wrt g.
-2382*g
Let s be 28/6*(-6)/(-4). Suppose -5*v + s*v - 8 = 0. Differentiate 0 - v + 5 - 3 - 6*m**4 with respect to m.
-24*m**3
Suppose -2*k + 4 = -k. Find the second derivative of -11*b - b**4 + 15*b**k + 15 - 15 wrt b.
168*b**2
Let j(a) be the first derivative of -8*a**3/3 + a**2/2 + 39*a - 132. Find the first derivative of j(z) wrt z.
-16*z + 1
Let b be (0/(0 + 3))/(-2). Find the second derivative of a + b*a + 7*a**2 - 5*a + 3*a wrt a.
14
Suppose -5*o = 10, -l + 2*o + 36 = 3*l. Suppose -19 = -3*q + u, 4*q - l = u + 19. Find the third derivative of q - 8 + 5*b**2 - b**5 wrt b.
-60*b**2
Let h = 3 + 7. Find the first derivative of 17 + 4*a**3 - h*a**3 + 5*a**3 wrt a.
-3*a**2
Let k(i) be the first derivative of i**4/4 - 10*i**3/3 + 19*i**2 - 3*i + 201. What is the second derivative of k(s) wrt s?
6*s - 20
Suppose -14*w + 29*w = 0. Let g(i) be the second derivative of 0*i**4 - 1/3*i**3 - 5*i + 0*i**2 + 2/5*i**5 + w. What is the second derivative of g(s) wrt s?
48*s
Let j(g) be the first derivative of -17 + 0*g**4 + 0*g**2 + 0*g - 4*g**3 + 0*g**5 + 2/3*g**6. What is the third derivative of j(u) wrt u?
240*u**2
Let o(g) be the third derivative of 0*g**3 + 0*g**4 - 16*g**2 - 1/10*g**6 - 13/60*g**5 + 0*g + 0. Find the third derivative of o(w) wrt w.
-72
Let y(w) be the first derivative of -25*w**4/2 + 2*w**3/3 + 148*w - 78. Differentiate y(f) wrt f.
-150*f**2 + 4*f
Differentiate 8*r**4 + 43*r**3 + 197 - 22*r**3 - 21*r**3 - 7*r**4 + 30*r wrt r.
4*r**3 + 30
Let c(n) be the second derivative of 3/5*n**6 + 0*n**3 + 0*n**5 + 0*n**4 - 4*n + 7*n**2 + 0. What is the first derivative of c(v) wrt v?
72*v**3
Let a(w) = -w**2 - 7*w + 20. Let c be a(-9). Find the second derivative of -27*v + 10*v**2 + 2*v**c + 3*v wrt v.
24
Let w(h) be the first derivative of -5*h**3/3 + h**2/2 - 76*h + 30. What is the derivative of w(k) wrt k?
-10*k + 1
Let s(g) = 234*g**3 - 41*g**2 - 3*g + 3. Let l(j) = 234*j**3 - 42*j**2 - 2*j + 2. Let k(q) = 3*l(q) - 2*s(q). Find the third derivative of k(c) wrt c.
1404
Differentiate -32*l**2 - 22*l**2 + 54*l**2 + 165*l**3 + 279 with respect to l.
495*l**2
Suppose 2*v = -2*d + 12, 2*v = -4*d - 9 + 27. Find the second derivative of -d*a**2 + 6*a - 10*a**2 + 5*a**2 wrt a.
-16
Let b(t) be the first derivative of -19*t**4/4 - t**3 + 27*t - 26. Differentiate b(h) wrt h.
-57*h**2 - 6*h
Differentiate -3*b**2 + 22*b**2 + 12*b**2 + 235 - 58 + 3*b**4 + b**4 wrt b.
16*b**3 + 62*b
What is the third derivative of 0 + 4*c**3 - 13*c**3 + 7 - 1 + 4*c**3 - 8*c**2 wrt c?
-30
What is the third derivative of 42*s**3 + 181 + 19*s**2 - 181 wrt s?
252
Let r be (1 - 1)/1*-1. Differentiate 9*i**3 + r*i**3 - 1 - 21*i**3 wrt i.
-36*i**2
What is the first derivative of 9*m**2 - m - m + 3*m**2 + 0*m**2 + 74 wrt m?
24*m - 2
Let o = 23 + -33. Let f = 13 + o. What is the second derivative of -3*u + u**3 - 2*u**f + u + 3*u wrt u?
-6*u
Find the third derivative of -487*j**3 - 35*j**2 + 198*j**3 - 48*j**2 wrt j.
-1734
Let j = 1 + 13. Let c = 16 - j. What is the second derivative of -9*b + 4*b**2 - c*b**2 + b**2 + 4*b**2 wrt b?
14
Let x be (-6610)/(-15) + 3/9. What is the third derivative of 4 - 4 - 427*a**4 + x*a**4 - 11*a**2 wrt a?
336*a
Let i(w) = 33*w**3 + 9*w**2 - 58*w + 1. Let h(a) = 8*a**3 + 2*a**2 - 15*a. Let g(z) = 9*h(z) - 2*i(z). Find the second derivative of g(k) wrt k.
36*k
Suppose -5*b - 3*w + w = -2, -4*b = 