6
Let t(w) = 12*w - 13. Let q(y) = 35*y - 38. Suppose 0 = 18*o + 68 + 40. Let a = -32 + 49. Let v(p) = a*t(p) + o*q(p). Differentiate v(l) wrt l.
-6
Let u = -5 - -10. Find the second derivative of -24*k + 8*k**2 + 17*k**u + k - 8*k**2 wrt k.
340*k**3
Let w(z) be the first derivative of z**7/15 + 5*z**3/3 - 12*z**2 + 27. Let a(o) be the second derivative of w(o). Find the first derivative of a(j) wrt j.
56*j**3
Let d(c) = -19*c**4 + 5*c**2 - 5*c + 38. Let f(z) = -18*z**4 + 6*z**2 - 6*z + 39. Let y(m) = 6*d(m) - 5*f(m). What is the first derivative of y(r) wrt r?
-96*r**3
Suppose 0 = 6*s - 2*s - 8. Let m be 30/(-3)*s/(-4). What is the second derivative of 2*q**3 - 2*q**3 + m*q + 3*q**4 wrt q?
36*q**2
Let h be (3/6)/(4 + 174/(-44)). What is the second derivative of -28*t**3 - 23*t - h*t**3 + 18*t**3 wrt t?
-126*t
Let w(k) be the second derivative of -5*k**2 + 1/10*k**5 + 0 + 0*k**3 + 0*k**4 - 3*k. What is the derivative of w(p) wrt p?
6*p**2
Let b(d) be the second derivative of 205*d**7/21 - 37*d**3/2 - 3*d**2/2 + 238*d + 1. Find the second derivative of b(n) wrt n.
8200*n**3
Let x(z) be the second derivative of 299*z**7/42 + 37*z**4/2 + 289*z. Find the third derivative of x(j) wrt j.
17940*j**2
Let h(g) be the third derivative of g**7/105 + 7*g**6/15 - 47*g**5/30 + 29*g**2. What is the third derivative of h(m) wrt m?
48*m + 336
Let p(l) = 160*l**2 - 15*l - 699. Let r(h) = 240*h**2 - 24*h - 1049. Let k(f) = 8*p(f) - 5*r(f). What is the derivative of k(v) wrt v?
160*v
Let y be 4*4*((-45)/(-12))/5. Differentiate 12 + 3*q**3 - 8*q**3 + 11*q**3 + y*q**3 wrt q.
54*q**2
What is the first derivative of -41 + 356*j**4 - 4*j**3 - 364*j**4 + 85 wrt j?
-32*j**3 - 12*j**2
Let g(q) = -185*q**3 - 933*q - 5. Let x(u) = 185*u**3 + 936*u + 6. Let n(d) = -6*g(d) - 5*x(d). Find the second derivative of n(m) wrt m.
1110*m
Find the third derivative of -4*m**3 - 74*m**2 + 0*m**3 - m**4 + 0*m**3 - m**3 wrt m.
-24*m - 30
Let d(f) = f**3 + 9*f**2 + 14*f + 8. Let s be d(-7). Differentiate -13*c**4 + 11 + s + 0 wrt c.
-52*c**3
Let q(s) be the first derivative of 6*s**5 - 7*s**4/4 + 367*s**3/3 + 13. Find the third derivative of q(z) wrt z.
720*z - 42
Suppose -a = -6 + 3. Let i(d) = -d**3 + 3*d**2 + d - 1. Let x be i(a). Find the second derivative of -x - 6*n + 54*n**2 + 2 - 44*n**2 wrt n.
20
Let u(o) = o**2 + 2*o. Let i(y) = 7*y**2 + 63*y. Let f(s) = -i(s) + 3*u(s). Find the second derivative of f(c) wrt c.
-8
Let v be (-2)/(-2)*-1 - 2*-2. What is the derivative of 19 - 16*o + 2*o**v + 16*o wrt o?
6*o**2
Find the second derivative of 7 - 4 + 0 + 2*u - 60*u**2 wrt u.
-120
Let f(u) = -5*u**4 + u**3 + u + 1. Let j(x) = 56*x**4 - 3*x**3 - 3*x - 5. Let s(r) = 6*f(r) + 2*j(r). Differentiate s(w) with respect to w.
328*w**3
Let p(f) be the second derivative of -61*f**5/20 + f**3/6 + 151*f**2/2 + 330*f. Find the second derivative of p(n) wrt n.
-366*n
Let r(u) be the third derivative of -19*u**9/14 - 8*u**5/5 - 48*u**2 + 2. What is the third derivative of r(h) wrt h?
-82080*h**3
Let z be -2 + 1 - (4 + 2*-475). What is the second derivative of -z*v**5 + 917*v**5 - 11*v + 37*v wrt v?
-560*v**3
Find the second derivative of -916*u - 4*u**3 + 23*u**3 + 0*u**3 - 4*u**2 + u**2 + 1492*u wrt u.
114*u - 6
Let f(m) = -5*m**2 + 3*m + 9. Let g(a) = 16*a**2 - 10*a - 28. Suppose -4*r + 7 = -17. Let y(d) = r*g(d) + 20*f(d). Find the first derivative of y(k) wrt k.
-8*k
Let k(d) be the third derivative of -d**7/210 + d**6/60 - 32*d**5/15 + 135*d**2. What is the third derivative of k(c) wrt c?
-24*c + 12
Let v(s) = 879*s**3 - 23*s - 13. Let n(k) = 1760*k**3 - 45*k - 26. Let x(m) = -4*n(m) + 7*v(m). What is the second derivative of x(h) wrt h?
-5322*h
Let p(m) be the first derivative of -m**8/112 + m**4/12 + 6*m**2 - 9. Let h(j) be the second derivative of p(j). Find the second derivative of h(i) wrt i.
-60*i**3
Let q(i) be the third derivative of -5/112*i**8 + 0 + 0*i**7 + 0*i**6 + 0*i + 2/15*i**5 - 16*i**2 + 0*i**3 + 0*i**4. What is the third derivative of q(h) wrt h?
-900*h**2
Let v(g) = -79*g**3 + 9*g**2 - 92*g. Let n(i) = -237*i**3 + 30*i**2 - 277*i. Let z(d) = 3*n(d) - 10*v(d). Find the second derivative of z(f) wrt f.
474*f
Let b(l) = -6*l**2 - 20*l - 40. Let j(v) = 7*v**2 + 22*v + 40. Let o(y) = -4*b(y) - 3*j(y). What is the derivative of o(t) wrt t?
6*t + 14
Suppose 42 = -3*m - 33. Let r = 27 + m. What is the second derivative of 3*g + 14*g**r - 2*g + 6*g - 3*g**2 wrt g?
22
Let j(l) be the third derivative of -51*l**7/70 - l**6/60 - 7*l**5/15 - l**4/24 - 28*l**2. Find the third derivative of j(c) wrt c.
-3672*c - 12
Let i(v) be the third derivative of -v**8/960 + v**6/240 - v**4/8 + 9*v**2. Let l(y) be the second derivative of i(y). Find the second derivative of l(u) wrt u.
-42*u
Let j(v) be the first derivative of -15*v - 25 + 5/2*v**2. Differentiate j(w) with respect to w.
5
Suppose -d + 5*d - 48 = 0. Suppose 15 = d*i - 7*i. What is the third derivative of -3*o**i + 2*o**2 - 2*o**3 - o**2 wrt o?
-30
Let d = 591/220 - 29/11. Let l(c) be the second derivative of 0*c**4 + 3*c**2 + 0 + 0*c**3 - d*c**5 - 7*c. Find the first derivative of l(o) wrt o.
-3*o**2
Suppose 3*h - 5*h + 24 = 0. What is the third derivative of -11*x**3 + 16*x**4 + 23*x**3 - h*x**3 + 10*x**2 wrt x?
384*x
Suppose 3*d - 21 = 15. Suppose -5*g + d + 13 = 0. What is the first derivative of -g*v**4 + 11 - 17 + 10*v**4 wrt v?
20*v**3
Let c be -7*(-2)/(-4)*24/(-21). Differentiate 19 + 0*m**4 + 30*m**c - 18 wrt m.
120*m**3
Let t be (0/(-4) - -7) + (-3 - -2). Find the third derivative of 2*s**5 + 0*s**5 + 3*s**5 - 15*s**2 + t*s**5 wrt s.
660*s**2
Suppose 8*k - 104 = -0*k. What is the third derivative of -27*f**4 + 34*f**4 - k*f**2 - 36*f**4 wrt f?
-696*f
Let a be -3 + 2 - -1*11. Let t be (-12)/(1 + 3) + a. What is the first derivative of 8 - 1 - t*q**3 + 0 wrt q?
-21*q**2
Let o = 10 + -10. Suppose n + 2*x - 13 = o, 4*n - x = n + 11. What is the second derivative of n*q - 9 - 3*q**2 + 9 wrt q?
-6
Suppose -9 = 6*o - 33. What is the derivative of 0*q**o + 98 - 86 - q**4 - 2*q**4 wrt q?
-12*q**3
Let s(i) be the first derivative of 0*i**4 - 7 + 0*i - 1/5*i**5 + 0*i**2 - 4/3*i**3. What is the third derivative of s(n) wrt n?
-24*n
Let u(b) be the first derivative of -7*b**4/4 + 78*b - 117. Differentiate u(n) wrt n.
-21*n**2
Let t(x) = 9*x**2 - 9 + 4*x**2 - 3*x**2. Let a = 2 - 3. Let o(p) = p**2 - 1. Let k(j) = a*o(j) + t(j). What is the first derivative of k(h) wrt h?
18*h
Let m = 199 + -197. Let h(u) be the first derivative of -6 + 1/2*u**m + 0*u + 2*u**3. What is the second derivative of h(j) wrt j?
12
Let i(t) = t**3 - 8*t**2 + 9*t - 14. Let p be i(7). What is the second derivative of p*u**2 - u - 9*u**2 + 4*u wrt u?
-18
Let h(b) be the first derivative of b**2 + 3 - 2*b - 5/6*b**3. Let i(w) be the first derivative of h(w). What is the derivative of i(u) wrt u?
-5
Let g(r) = 11*r + 5 - 8 + 2*r + 21*r**3. Let y(z) = 64*z**3 + 39*z - 8. Let v(l) = 8*g(l) - 3*y(l). What is the second derivative of v(m) wrt m?
-144*m
Find the third derivative of -a**2 - 37 - 3*a**3 + 1 + 3*a**3 - 337*a**5 + 12 wrt a.
-20220*a**2
Let r(u) be the third derivative of u**6/120 + 11*u**5/12 + u**4/4 - u**3/2 - 151*u**2. Find the second derivative of r(c) wrt c.
6*c + 110
Let p(y) = 84*y**3 + y**2 + 251*y - 17. Let h(i) = -21*i**3 - 62*i + 4. Let g(d) = -9*h(d) - 2*p(d). Find the second derivative of g(j) wrt j.
126*j - 4
Suppose 5*o - 3*o + 2*h = 74, -5*o + 3*h = -153. What is the second derivative of o*v + 36*v - 75*v - 51*v**5 wrt v?
-1020*v**3
Find the third derivative of 79*y**3 + 2*y + 91*y**3 - 3 + 2*y - 35*y**2 - 4*y wrt y.
1020
Let r(x) be the first derivative of -149*x**4/4 + 125*x**3/3 - 66. What is the third derivative of r(n) wrt n?
-894
Let a be ((-24)/(-4) - 3) + 2. What is the second derivative of -9*y - 13*y + 31*y + 7*y**a wrt y?
140*y**3
Differentiate -18 - 207*m**4 - 99 - 25 - 234*m**4 - 62 with respect to m.
-1764*m**3
Let p(k) be the first derivative of -55/4*k**4 + 0*k**3 + 0*k - 12 + 61/2*k**2. What is the second derivative of p(j) wrt j?
-330*j
Let z(n) be the second derivative of 0 - 1/3*n**3 - 13/20*n**5 + 0*n**2 - 7*n + 0*n**4. Find the second derivative of z(c) wrt c.
-78*c
Let h(c) = -47*c**3 - 8*c**2 - 14*c + 195. Let p(n) = -