q**3 + q**2. Let u(y) = -34*y**4 + 5*y**3 - 5*y**2 - 14*y - 1. Let i(s) = 5*g(s) + u(s). What is the second derivative of i(f) wrt f?
-468*f**2
Let w(a) = 3*a**3 - 4*a**2 + 2*a + 4. Let q be w(3). What is the third derivative of q*m**2 - 8*m**5 - 2*m**5 - 61*m**2 wrt m?
-600*m**2
Suppose -q - 123 = -4*c, -c - 2*q + 1 = -23. What is the second derivative of c*m - 24*m**5 - 6*m + 3*m**3 - 3*m**3 wrt m?
-480*m**3
What is the second derivative of -44*v**4 - 33 + 0*v + 34 - 3*v wrt v?
-528*v**2
Differentiate 11*l**2 - 2*l**2 + 1336 + 1358 - 2604 with respect to l.
18*l
Let f(v) = 16*v - 20. Let j = 15 - 12. Let p(z) = -j + 22*z - 23*z + 4. Let u(g) = -2*f(g) - 36*p(g). Differentiate u(m) wrt m.
4
Find the third derivative of -3*i**6 - 7*i**2 + 5*i**6 - 10*i**5 - 18*i + 19*i wrt i.
240*i**3 - 600*i**2
Find the third derivative of 216 - x**2 - 108 - 7*x**3 - 109 wrt x.
-42
Let a(b) = b**3 - b**2 - 2*b + 1. Let c(q) = -15*q**3 - 6*q**2 + 14*q - 4. Let n(f) = -7*a(f) - c(f). Find the third derivative of n(l) wrt l.
48
Let s(m) be the third derivative of 0*m**4 + 0*m - 12*m**2 + 23/210*m**7 + 0 + 0*m**6 - 11/20*m**5 + 0*m**3. Find the third derivative of s(l) wrt l.
552*l
Let h(v) = 2*v**3 + 8*v**2 - 25*v - 43. Let q(f) = 5*f**3 + 22*f**2 - 74*f - 128. Let p(t) = -11*h(t) + 4*q(t). Differentiate p(u) with respect to u.
-6*u**2 - 21
Find the first derivative of 0 + 75*n + 74 + 5*n wrt n.
80
Let a = -112 + 115. Let l be 2*(2 + -3 + 2). Differentiate 11*d - a*d - 7 + 3*d + l*d wrt d.
13
Suppose -92 = 41*j - 45*j. What is the second derivative of 6*s + 13*s - j*s**3 + 56*s**3 wrt s?
198*s
Let c be (-9)/5*((2 - 1) + -6). What is the second derivative of c*z**2 + 9*z**2 - 31*z - 6*z**2 wrt z?
24
Let y(m) = -m**2 + m - 1. Let x(l) = -3 + 8*l**2 - 11*l + 38*l - 14*l - 10*l - 7*l**3. Let a(n) = -x(n) + 3*y(n). What is the third derivative of a(i) wrt i?
42
Let r(j) be the first derivative of 13*j**8/1680 + 7*j**5/60 + 2*j**3 - 13. Let a(v) be the third derivative of r(v). Find the second derivative of a(d) wrt d.
156*d**2
Let m(j) be the second derivative of 47*j**6/15 + 7*j**4/4 + 2*j - 159. What is the third derivative of m(k) wrt k?
2256*k
Let c(t) be the third derivative of -41*t**5/12 + 179*t**4/24 + 235*t**2. What is the second derivative of c(u) wrt u?
-410
Let q(b) = 261*b**3 - 5*b**2 + 49*b. Let k(y) = -391*y**3 + 8*y**2 - 73*y. Let p(d) = -5*k(d) - 8*q(d). Find the second derivative of p(s) wrt s.
-798*s
Let m(c) be the third derivative of 49*c**7/30 + 95*c**3/2 + 10*c**2 - 13. Find the first derivative of m(y) wrt y.
1372*y**3
Let g(y) = -y**2 - 2*y + 131. Let x(l) = -2*l**2 - 3*l + 131. Let t(v) = -3*g(v) + 2*x(v). Find the first derivative of t(m) wrt m.
-2*m
Let n(m) = 3*m**2 + 3*m - 2. Let y be n(-3). Let t(c) be the first derivative of 9*c**4 - y*c**4 + 4 + 5*c**4 - 4*c**3. Find the third derivative of t(j) wrt j.
-48
Let a(j) = -4*j**3 + 5*j + 174. Let i(l) = l**3 - l - 1. Let w(f) = a(f) - 2*i(f). What is the first derivative of w(s) wrt s?
-18*s**2 + 7
What is the third derivative of -68 - 48*b**3 + 221*b**3 - 4*b**2 + 5*b**2 - 44 wrt b?
1038
Let a(z) be the first derivative of 13/5*z**5 - 2 + 0*z**3 - 9*z + 0*z**2 + 0*z**4. Find the first derivative of a(t) wrt t.
52*t**3
Suppose 1 = 4*r - 3. Let q(b) = -b + 1. Let z(u) = -9*u**3 - 5*u + 3. Let h(t) = r*z(t) - 3*q(t). Find the second derivative of h(w) wrt w.
-54*w
Let q(f) = 4*f**2 + 4*f + 1. Let v be q(-3). Let t = v + -20. Differentiate -t + 4*b - 10*b + 2 with respect to b.
-6
Let j be (-4)/(-6) + (-70)/15. Let z be j + 1 + (-63)/(-7). What is the second derivative of -k**5 + 4*k**5 - 4*k**2 - z*k + 4*k**2 wrt k?
60*k**3
Let o(x) = -x**2 - 4*x + 8. Let u be o(-7). Let y = 18 + u. Find the second derivative of -y*i + 0*i + 0*i + 8*i**5 wrt i.
160*i**3
Let j = -7 - -9. Suppose -4*x + j*z = 0, -x - 2*z + 0*z = -10. Find the second derivative of -2*t + 6*t**x - 2*t - 4*t wrt t.
12
Suppose 8 = 3*o + 2. Find the first derivative of -o*r - 6*r + 8*r - 19 + 17*r**2 wrt r.
34*r
Let w(u) = 678*u + 1696. Let l(h) = 226*h + 562. Let k(x) = 14*l(x) - 5*w(x). What is the derivative of k(n) wrt n?
-226
Let t(f) = f + 1. Let a be t(-7). Let o be (-2)/7 - a/21. What is the first derivative of 5*q**2 - 4 + o - 4 + 2 wrt q?
10*q
Suppose -9 = -5*w + 6. What is the first derivative of 7*o**4 - 12 + w*o**4 + 0*o**4 + 8*o**4 wrt o?
72*o**3
Let t(s) = -s**2 - 10*s + 3. Let w be t(-10). What is the second derivative of 4*g**3 + 123*g - w*g**3 - 117*g wrt g?
6*g
Let n(c) = 146*c - 204. Let f(q) = -73*q + 102. Let r(y) = -5*f(y) - 3*n(y). Differentiate r(h) wrt h.
-73
Suppose -234 + 72 = -27*n. Let j(k) be the first derivative of 3/2*k**n + 0*k**3 + 0*k + 0*k**4 - 2 - 7*k**2 + 0*k**5. Find the second derivative of j(x) wrt x.
180*x**3
What is the third derivative of 1012*i**5 + 12*i**2 - 22*i**2 - i**3 + 122*i**2 + 69*i**2 + 2*i**3 wrt i?
60720*i**2 + 6
Let m be 8/(-10) - 440/(-50). What is the third derivative of 7*v**5 + 13 - 19 - 2*v**3 + 9*v**5 - m*v**2 + 3*v**2 wrt v?
960*v**2 - 12
Let y be (57/21 - 1) + 4/14. Suppose 2*b - r = 9, 5*b + 20 = -5*r + 65. What is the first derivative of -z - 1 - 2 + y*z + b wrt z?
1
Let s = 52 + -1247/24. Let r(d) be the third derivative of 0*d**5 + s*d**4 + 0 + d**2 - 1/120*d**6 + 0*d**3 + 0*d. Find the second derivative of r(p) wrt p.
-6*p
Let t(m) be the first derivative of -25/3*m**3 + 0*m**2 + 0*m**5 - 17 + 0*m**4 + 0*m**6 - 15/7*m**7 + 0*m. Find the third derivative of t(k) wrt k.
-1800*k**3
Find the second derivative of -12 + 7*x**3 + 6 + 20*x**2 - 6*x**3 - 20*x + 8*x**3 + 7*x wrt x.
54*x + 40
Let g(q) be the second derivative of -11*q + 5/6*q**3 + 0 - 7/2*q**2. Differentiate g(i) with respect to i.
5
Let a(s) be the second derivative of -s**9/7560 + s**5/24 - s**4/4 - s. Let h(t) be the third derivative of a(t). What is the first derivative of h(v) wrt v?
-8*v**3
Let p(a) be the first derivative of 0*a**4 + 1 + 0*a + 13/5*a**5 + 0*a**2 - 5/3*a**3. What is the third derivative of p(l) wrt l?
312*l
Let d(r) be the first derivative of 12*r**5/5 - 3*r**4/4 - 21*r**2 - 2*r - 225. Find the second derivative of d(x) wrt x.
144*x**2 - 18*x
Let o be 123/39 + 3/((-78)/4). What is the first derivative of -8*v**3 - 6*v**3 - 21 - v**o wrt v?
-45*v**2
Let o(w) = 11*w**3 + 4*w - 65. Let l(n) = -4*n**3 - n + 22. Let g(x) = -14*l(x) - 4*o(x). Find the second derivative of g(c) wrt c.
72*c
Let h = -16 + 17. Let l be 1/h - (0 - 1). Find the second derivative of -f + 47 + 4*f**l - 47 wrt f.
8
Let c = -14 - 1. Let b = c + 19. What is the third derivative of -p + p - p**b - 3*p**2 + 0*p**2 wrt p?
-24*p
Let z(b) = 54*b**3 - 5*b**2 + 4*b + 468. Let v(u) = 81*u**3 - 7*u**2 + 6*u + 702. Let g(n) = -5*v(n) + 7*z(n). Find the first derivative of g(o) wrt o.
-81*o**2 - 2
Suppose 5*r + 3*f - 42 = 0, -2*r - 5*f + 36 = 4. Find the second derivative of -12*j + 5*j**2 - r*j**2 - 9*j**2 - 13*j**2 wrt j.
-46
Let f(b) = 6*b**3 - 10*b**2. Let v(t) = 11*t**3 - 19*t**2. Let d be (-2)/4*(-10 - -16). Let w(c) = d*v(c) + 5*f(c). Find the third derivative of w(k) wrt k.
-18
What is the second derivative of -3 + 6*d**2 - 2506*d + 30*d**3 - 4*d**2 + 2523*d wrt d?
180*d + 4
Let i(u) be the third derivative of 7*u**6/120 - u**5/60 + 4*u**2. Let k be i(1). Find the first derivative of -4*o**4 - 4*o**4 + 3*o**4 - k + 4*o**4 wrt o.
-4*o**3
Let p(z) be the first derivative of 0*z - 31/2*z**2 + 0*z**3 - 27/5*z**5 + 24 + 0*z**4. What is the second derivative of p(x) wrt x?
-324*x**2
Find the second derivative of 312*w**2 + 80*w - 93*w**3 - 312*w**2 - 1 wrt w.
-558*w
Let h(d) = 166*d**4 - 6*d**2 - 5*d - 57. Let b(l) = 83*l**4 - 4*l**2 - 3*l - 28. Let a(y) = 5*b(y) - 3*h(y). Differentiate a(c) with respect to c.
-332*c**3 - 4*c
Let h = 10 + -5. Let c(o) be the first derivative of 7 - 43*o**4 + 43*o**4 + o**5 - 2*o**h + 2*o**3. What is the third derivative of c(u) wrt u?
-120*u
Let q be (7 - 11)/(2/(-6)). Suppose -q*f + 4 = -11*f. Differentiate 2*x - f*x + 3*x**3 + 2*x + 6 wrt x.
9*x**2
Let r(o) be the second derivative of 176*o**7/21 + o**4/4 - 65*o**2/2 + 228*o. Find the third derivative of r(s) wrt s.
21120*s**2
Let p(k) be the first derivative of 17/3*k**3 + 22*k**2 + 0*k + 43. What is the second derivative of p(w) wrt