4 - 17
Let a(x) = 50*x - 25. Let v(i) be the third derivative of i**5/30 + 1709*i**2 + i. Determine a(v(m)).
100*m**2 - 25
Let p(c) = -152*c. Let v(m) be the second derivative of 45*m**3/2 - 14614*m. What is v(p(d))?
-20520*d
Let y(b) = -259*b - 8. Let t(u) = 3 + 40*u + 59*u - 27*u + 14*u. Let z(x) = -8*t(x) - 3*y(x). Let s(n) = -2*n**2. What is z(s(f))?
-178*f**2
Let c = -134 - -125. Let a = -9 - c. Let y(k) = -k + a*k + 2*k + k. Let l(q) = 25*q. What is l(y(r))?
50*r
Let f(b) = b**2 - 5*b - 1. Let t be f(6). Suppose -26 + 16 = -t*l. Let h(u) = -2*u**l + 3*u**2 + 0*u**2. Let j(y) = 3*y**2. Determine j(h(n)).
3*n**4
Let k(f) = -f**3 - 16*f**2 + 34*f - 8. Let t be k(-18). Let o(n) = t*n + 18*n - 45*n. Let r(c) = 3*c - 27. Give o(r(l)).
3*l - 27
Let m(z) = 1871*z + 15084. Let l(x) = -x. Determine l(m(c)).
-1871*c - 15084
Let c(g) = 2*g**2 + g**2 + g**2. Let u(t) be the second derivative of 5*t**4/4 + t**3/3 + 5706*t - 5. Determine c(u(r)).
900*r**4 + 240*r**3 + 16*r**2
Let s(d) = 14*d. Let n(f) = -1019*f - 40. Calculate s(n(u)).
-14266*u - 560
Let y(k) = 94*k. Let b(f) = 2398*f**2 + 2403*f**2 - 4802*f**2. Calculate y(b(g)).
-94*g**2
Let s(a) = 5 + 3 - 5 + 2*a. Let d(z) = z + 963 - 484 - 479. Give d(s(q)).
2*q + 3
Let n(w) = -9*w. Let i(s) = 2001*s**3 - 6*s**2 + 18*s - 16. Let b be i(4). Let q(j) = -b + 128024 + 9*j. What is n(q(h))?
-81*h
Let i(n) = 96*n - 8. Let o(p) = 131*p - 11. Let v(f) = 11*i(f) - 8*o(f). Let z = 0 + 7. Let l(s) = -3*s + z*s - 3*s. What is l(v(q))?
8*q
Let m(f) = -36*f. Let l(g) = -27*g**2 - 6*g - 32. Calculate l(m(t)).
-34992*t**2 + 216*t - 32
Let u(q) be the second derivative of 1/12*q**4 - 148*q + 89/6*q**3 + 0*q**2 + 0. Let n(c) = c**2. What is u(n(f))?
f**4 + 89*f**2
Let v(o) = 32 + 37 - 2*o + 7*o - 22. Let c be v(-9). Let z(n) = -19*n + 19*n + 13*n**c - 6*n**2. Let a(x) = -3*x**2. Calculate z(a(r)).
63*r**4
Let i(r) = -13*r**2. Let o(y) = 155*y**2 - 651*y + 1302. Let s(a) = -a**2 + 3*a - 6. Let m(l) = -2*o(l) - 434*s(l). Calculate m(i(x)).
20956*x**4
Let r(k) = -3*k + 1270. Let g(n) = n - 8. Give r(g(o)).
-3*o + 1294
Let u(f) = 15*f**2 - 2. Let o(j) = -31*j**2 - 11*j. Let b(a) = 17*a - 21*a - 6*a**2 - 6*a**2 + 0*a**2 + a**2. Let s(d) = -11*b(d) + 4*o(d). What is s(u(x))?
-675*x**4 + 180*x**2 - 12
Let u(o) = -15*o + 67. Let w(n) = -108361*n. What is w(u(b))?
1625415*b - 7260187
Let b(g) = 2164*g. Let v(i) = -71*i - 51. What is b(v(k))?
-153644*k - 110364
Let f(o) be the first derivative of -14*o**3/3 - 851. Let r(u) = 64*u**2. Determine r(f(a)).
12544*a**4
Let d(q) = -26*q - 27*q + 57*q. Let v(p) be the third derivative of 17*p**4/6 - 610*p**2. What is d(v(o))?
272*o
Suppose 6*i - 2*i = 692. Suppose 4*j - 180 = -2*m, -j = -m - 5*j + 90. Let d(f) = f - m + i - 83. Let r(v) = 105*v**2. Determine r(d(g)).
105*g**2
Let v(z) be the third derivative of z**4/6 - 104*z**3/3 - 2413*z**2. Let q(i) = 2*i. Determine v(q(k)).
8*k - 208
Let a be ((-2)/(-2))/(3/12*2). Suppose -a*r - 3*r + 15 = 0. Let q(x) = -5*x**2 + 0*x**2 - 6*x**2 + r*x**2. Let y(z) = 2*z**2. Determine q(y(k)).
-32*k**4
Let a(m) = -2*m**2 - 78116*m - 6. Let f(d) = 3*d - 17. Determine f(a(j)).
-6*j**2 - 234348*j - 35
Let m(d) be the first derivative of -d**3 + 2386. Let h(k) = 3514*k**2. What is m(h(f))?
-37044588*f**4
Let y(m) = m**2 - 50. Let s(a) be the third derivative of 23*a**5/20 - 27*a**2 - 40. Calculate s(y(v)).
69*v**4 - 6900*v**2 + 172500
Let v(o) = 2*o - o + o. Let i(t) be the third derivative of 0 - 7/6*t**4 + t + 0*t**3 + 99*t**2. Give i(v(l)).
-56*l
Let u(i) = i**2 - 21. Suppose -4*y + 32*s = 29*s - 10, 2*y - 3*s - 2 = 0. Suppose 15 = 4*l - p, p = -1 - 2. Let j(g) = -y*g + l*g + 5*g - 5*g. Give j(u(n)).
-n**2 + 21
Let d(c) = c. Let a(p) be the second derivative of -703*p**4/6 + 5212*p. What is d(a(y))?
-1406*y**2
Let w(q) = 9494*q. Let g(i) = -89*i**2. Give g(w(f)).
-8022107204*f**2
Let x(a) be the second derivative of 4/3*a**3 + 0 + 0*a**2 - 3*a. Let l(p) be the second derivative of -p**4/12 + 614*p. Calculate x(l(z)).
-8*z**2
Let t(c) = 153*c. Let d = 1398 + -976. Let z(w) = d*w + 427*w - 847*w. Give z(t(q)).
306*q
Let i(g) = -5*g**2 - 13*g**2 + 16*g**2 - 23*g**2 - 18*g**2. Let r(v) = 184*v - 184*v - v**2. What is r(i(u))?
-1849*u**4
Let r(f) = -f. Let o(y) = 157773537*y**2. Give r(o(a)).
-157773537*a**2
Let v(o) = -2 + 0 + 5*o - 7*o**2 + 2. Let h(z) = -z**2 + z. Let c(y) = -5*h(y) + v(y). Let a(p) = -2*p + 4*p + p. Give c(a(l)).
-18*l**2
Let i(x) = -2*x**2 + 304. Let g(c) = -4174199 - c + 4174199. Calculate g(i(k)).
2*k**2 - 304
Let y = -3797 + 3802. Let r(t) be the first derivative of -1/2*t**2 + 0*t + y. Let c(u) = 6*u. Give r(c(o)).
-6*o
Let q(o) = 66*o**2 - 8. Let x(n) = -905*n**2 + 110. Let y(d) = 55*q(d) + 4*x(d). Let u(a) = -6*a**2 + 18*a**2 - 9*a**2. Calculate u(y(r)).
300*r**4
Let j(l) be the third derivative of -1/12*l**4 - 7 + 0*l + l**2 + 0*l**3. Let f(n) = 14*n. Calculate f(j(w)).
-28*w
Let m(a) = -44*a + 26. Let y(p) = 5*p - 3. Let v(s) = 6*m(s) + 52*y(s). Let z(u) be the third derivative of u**4/8 - 4170*u**2. Give z(v(k)).
-12*k
Let b(u) = 26*u. Let m(p) = -480*p**2 - 4544. Give m(b(s)).
-324480*s**2 - 4544
Let h(r) = 227588*r. Let k(v) = v**2 + 89*v. What is h(k(m))?
227588*m**2 + 20255332*m
Let w(y) = 93*y**2 - 317*y**2 + 222*y**2. Let s(c) = -81*c + 1. Give s(w(n)).
162*n**2 + 1
Let l be ((-1)/3)/(7/(-42)). Let c = l - -2. Let g(y) = c*y + 9*y - 3*y - 9*y. Let r(a) = 2*a. Determine g(r(v)).
2*v
Let x(r) = 10*r. Let b(h) = 3*h - 4. Let o(z) = -130*z + 20. Let w(k) = 5*b(k) + o(k). What is x(w(g))?
-1150*g
Let a(v) = 119*v. Let o(b) = -814982*b. Give o(a(w)).
-96982858*w
Let r(s) = -31*s + 60. Let g be r(-25). Let w(c) = -14*c + g - 835. Let n(u) be the third derivative of -u**5/20 + 87*u**2. Calculate n(w(b)).
-588*b**2
Let q(z) = -z. Let v(y) be the first derivative of 6077*y**3/3 - 2099. Calculate v(q(k)).
6077*k**2
Let g(r) = 111*r - 1. Let d(a) = 88129*a. Calculate d(g(p)).
9782319*p - 88129
Let k(u) = -2*u**2 - 20*u + 2. Let d be k(-10). Let s(v) = -14*v + v**d + 3*v + 11*v. Let w(f) = -4*f - 4. What is w(s(c))?
-4*c**2 - 4
Let y(w) = -w**2. Let x(b) be the third derivative of -b**4/4 - 22*b**3/3 + 90*b**2 + 16*b. What is y(x(q))?
-36*q**2 - 528*q - 1936
Let l(m) = 234*m**2 - 63. Let p(s) = -46*s**2 + 12. Let z(v) = 4*l(v) + 21*p(v). Let f(q) = -13*q**2 - 6. Give z(f(c)).
-5070*c**4 - 4680*c**2 - 1080
Let f(y) = 2332*y. Let h(o) = 22265*o. Give h(f(v)).
51921980*v
Let w(v) = 2*v**2 + v + 5. Let t(b) = 37*b**2 + 6*b + 30. Let k(l) = t(l) - 6*w(l). Let x(i) = 2*i. Determine x(k(u)).
50*u**2
Let b(s) = 174*s + 58. Let r(t) = 769 + 35*t - 377 - 380. Let p(l) = -6*b(l) + 29*r(l). Let x(o) = -o. Give x(p(y)).
29*y
Let n(h) = -h + 1. Let q(d) = 9*d + 4. Let r(t) = -2*n(t) + q(t). Let x(m) = 539*m + 99. Let o(w) = 198*r(w) - 4*x(w). Let u(p) = 7*p**2. Calculate o(u(k)).
154*k**2
Let t(i) = i**2 - 8*i - 29. Let m be t(13). Suppose -2*s + d + 18 = 0, 0*d = 4*s + 2*d - m. Let j(n) = -s*n - 6*n - 11*n. Let o(f) = 2*f. Calculate j(o(k)).
-52*k
Let h(d) = -68*d**2. Let s(j) be the third derivative of -11*j**5/30 + 531*j**2. Determine s(h(a)).
-101728*a**4
Let p(m) = -64*m**2 - 10. Let t(j) = 209640*j. Calculate t(p(l)).
-13416960*l**2 - 2096400
Let y(u) be the third derivative of u**5/60 + 7*u**3/3 - 7*u**2 - 6. Let k(h) be the second derivative of h**3/6 - 11*h + 15. Calculate k(y(v)).
v**2 + 14
Let j(g) = 3*g. Let w(f) be the second derivative of f**6/240 - f**5/60 - 5*f**4/3 + f**2 + 2*f. Let n(h) be the third derivative of w(h). What is j(n(q))?
9*q - 6
Let s(c) = 94647411 - 94647411 + 3*c. Let x(n) = -4929*n. Calculate x(s(j)).
-14787*j
Let h(s) = -38*s**3 - 12*s**2 - 4*s - 3. Let i be h(-2). Let k(y) = -255*y - i*y + 519*y. Let u(c) = 37*c. Determine k(u(v)).
111*v
Let y(p) = 6*p**2 + 4*p**2 + 5*p**2. Let z(t) be the first derivative of t**4/24 + t**2/2 - 1. Let v(g) be the second derivative of z(g). Calculate v(y(l)).
15*l**2
Let t(j) = 36*j. Let p(c) be the first derivative of -1/12*c**4 + 5*c + 0*c**3 + 10 + 0*c**2. Let n(d) be the first derivative of p(d). Calculate n(t(g)).
-1296*g**2
Let z(j) = 5097*j. Let m(r) be the third derivative of r**4/24 + 112*r**2 - 6*r + 1. Calculate m(z(x)).
5097*x
Let z(b) = 3*b + 9*b + 18*b. L