2
Let o(f) be the first derivative of -1 + 0*f**2 + 0*f - 1/3*f**3. Let c(m) = -51*m + 51*m - 15*m**2. Calculate c(o(y)).
-15*y**4
Let p(y) = -y**2. Let a(c) be the third derivative of -c**6/720 + c**5/8 + 25*c**4/8 - 9*c**2 + 3. Let q(o) be the second derivative of a(o). Give q(p(r)).
r**2 + 15
Let c(i) = -105489*i. Let d(f) = 5*f**2 - 2*f. What is c(d(g))?
-527445*g**2 + 210978*g
Let b(t) = 2*t. Let q(f) be the first derivative of -13*f**2/2 + 8*f + 1778. Determine b(q(v)).
-26*v + 16
Let r(x) = -8*x - 5. Let g(p) be the first derivative of -3*p**2 - 4*p - 114. Let v(m) = -5*g(m) + 4*r(m). Let s(h) = -151*h. Determine s(v(n)).
302*n
Let j(y) be the second derivative of 5*y**4/8 + 12*y**2 - 23*y. Let a(c) be the first derivative of j(c). Let o(t) = 3*t**2. Give a(o(v)).
45*v**2
Let s(k) = -7*k**2 + 19. Let q(h) = -397*h**2 - 422*h**2 + 1238*h**2 - 415*h**2. Determine q(s(d)).
196*d**4 - 1064*d**2 + 1444
Let l(x) be the second derivative of 7*x**6/36 + x**4/24 + 19*x**3/3 - x + 7. Let q(o) be the second derivative of l(o). Let n(y) = y**2. Give q(n(v)).
70*v**4 + 1
Let x(q) be the second derivative of q**5/60 + q**3/3 - 77*q**2 + 182*q. Let g(o) be the second derivative of x(o). Let f(l) = -68*l**2. What is f(g(d))?
-272*d**2
Let l(q) = 24096*q. Let n(a) = 96*a. Calculate n(l(u)).
2313216*u
Let b(y) = -2*y - 15384 + 15384. Let v(l) = -722*l + 3. Determine b(v(d)).
1444*d - 6
Let q(l) = -37766*l + 5865. Let r(v) = -581*v + 90. Let s(o) = -6*q(o) + 391*r(o). Let c(f) = -5*f. Determine c(s(n)).
2875*n
Let g(u) = 123*u. Let s(r) be the first derivative of 15*r**2 - 2267. Determine s(g(y)).
3690*y
Let t(v) = -46*v**2. Let f(h) = -h**2 + 107340*h. Give f(t(q)).
-2116*q**4 - 4937640*q**2
Let v(i) = -7247486*i**2. Let d(p) = 2*p**2. Calculate v(d(x)).
-28989944*x**4
Let d(q) = -12*q**2. Let c(v) = -919*v - 6. Let r(x) = 324*x + 2. Let l(z) = 6*c(z) + 17*r(z). Calculate l(d(h)).
72*h**2 - 2
Suppose 3*l + 5*m = -20, -4*l + 8 - 24 = 4*m. Let w(k) = 0 + 4*k + l. Let r(h) be the first derivative of 5*h**3/3 - 414. What is r(w(z))?
80*z**2
Let u(o) be the first derivative of -o**3/3 - 7*o**2 - 11*o + 2. Let j be u(-13). Let w(n) = 364 - 9*n**j - 364. Let i(g) = -2*g**2. Give w(i(q)).
-36*q**4
Let v(p) = 2383*p. Let r(o) = -5*o + 15. Let q(j) = -11*j + 35. Let l(i) = 3*q(i) - 7*r(i). Give l(v(a)).
4766*a
Let t(o) = -10*o + 10. Let z(w) = 2*w - 1. Let s(c) = 3*c - 5. Let g(k) = s(k) + z(k). Let j(a) = -5*g(a) - 3*t(a). Let u(y) = -26*y**2 - 1. What is u(j(d))?
-650*d**2 - 1
Let a(z) = z**2. Let i be 161*((-36)/(-14))/3. Let v(g) = 2*g**3 + 4*g**2 + 2*g + 4. Let r be v(-2). Let n(u) = -138 + i + r*u + u. Give n(a(h)).
h**2
Let h = -920 + 1301. Let s(x) = h - 2*x**2 - 381. Let i(o) = -16*o**2. Calculate s(i(b)).
-512*b**4
Let s(d) be the first derivative of 0*d**2 - 2/3*d**3 - 10 + 0*d. Let j(p) be the second derivative of p**4/12 + 6*p. What is j(s(c))?
4*c**4
Suppose -4*v + 29004 = 3*a - 0*a, 3*a = -v + 29004. Let c(p) = a*p - p**2 - 9668*p. Let o(z) = -3*z - 2. Give o(c(r)).
3*r**2 - 2
Let v(t) = 22*t**2 + 4*t. Let y(z) = 27*z**2 + 5*z. Let j(a) = 5*v(a) - 4*y(a). Let c(p) = 756*p. Give c(j(g)).
1512*g**2
Let l(w) = 12*w**2 + 2*w - 2*w. Let v(t) be the first derivative of -t**6/360 + 7*t**3/3 - t - 31. Let g(i) be the third derivative of v(i). What is l(g(n))?
12*n**4
Let r(c) = -66*c. Let p(w) = 12029*w. Give p(r(b)).
-793914*b
Let x(y) = y + 3205. Let h(p) = 1658*p**2. Give x(h(g)).
1658*g**2 + 3205
Let f(t) = -4*t - 38. Let i be f(-13). Let m = 51 + 346. Let u(j) = -m*j - i*j**2 + 397*j. Let d(h) = -h. Calculate u(d(l)).
-14*l**2
Let t(x) = -155*x**2. Let q(l) = 16912*l. What is t(q(n))?
-44332440320*n**2
Let a(z) = -10*z. Let y(h) be the third derivative of -5*h**4/2 + 4*h**2 - 217. What is y(a(k))?
600*k
Let s(c) be the first derivative of -27*c**3 + c**2 - 41043. Let j(u) = 2 - 2 - 2*u**2. What is s(j(r))?
-324*r**4 - 4*r**2
Let w(x) be the second derivative of x**4/12 - 22*x. Let u(d) be the second derivative of -106*d**3 - 17*d + 52*d**3 + 51*d**3. Determine w(u(m)).
324*m**2
Let p(a) = -1086*a - 705. Let c(o) = -4*o. Determine p(c(v)).
4344*v - 705
Let y(o) be the first derivative of 284*o**3/3 + 5957. Let p(t) = -10*t. Calculate p(y(d)).
-2840*d**2
Let c(n) = -4*n. Let k(t) = -826062*t. Give k(c(q)).
3304248*q
Let y(j) = -10*j + 8765. Let n(m) = -17*m. Calculate y(n(d)).
170*d + 8765
Let a(m) = -2*m - 27. Let l(s) = -7*s**2 - s - 7494. Give a(l(y)).
14*y**2 + 2*y + 14961
Let f(c) = -99*c - 17. Let j(y) = 893*y. Determine j(f(x)).
-88407*x - 15181
Let z(q) = -31*q**2 + 728*q + 31. Let o(f) = -6*f**2 + f + 5. Let y(h) = -5*o(h) + z(h). Let w(x) = -x**2. Give y(w(l)).
-l**4 - 723*l**2 + 6
Let a(t) be the second derivative of -1/3*t**3 + 0*t**2 - 3*t + 0. Let d(s) be the third derivative of -11*s**4/24 + 471*s**2. What is a(d(k))?
22*k
Let c be (((-120)/(-25))/2)/(18/60). Let i(v) = 6*v + c*v - 11*v - v - v. Let g(k) = -k**2. Calculate g(i(f)).
-f**2
Let g(r) = 14906*r. Let v(a) = 6*a**2 + 38*a. Calculate v(g(q)).
1333133016*q**2 + 566428*q
Let x(l) = 734*l**2 + 6*l - 6. Let c(h) = 729*h**2 + 4*h - 5. Let j(n) = 3*c(n) - 2*x(n). Let z(p) = p. Give j(z(b)).
719*b**2 - 3
Let k(m) = -5*m - 36013 + 12001 + 12008 + 12004. Let v(o) = 1. Let g(f) = 7*f + 5. Let a(z) = -g(z) + 5*v(z). Determine a(k(n)).
35*n
Let u(b) = 303*b - 1. Let s(d) = -19*d + 6. Let j(h) = -16*h + 5. Let v(z) = -6*j(z) + 5*s(z). Determine u(v(n)).
303*n - 1
Let i(x) be the first derivative of -3 - 16 - 1 - 55*x**2 - 2. Let d(z) = -z**2. Determine d(i(a)).
-12100*a**2
Let z(q) = q. Let b(w) = 10511*w**2 - 16060*w. Determine b(z(n)).
10511*n**2 - 16060*n
Let f(m) = m. Let r(n) = -7*n. Let i(y) = -5*f(y) - r(y). Suppose 0 = 13*d - 1007 + 240. Let h(s) = 15*s + d*s**2 + 14*s - 29*s. What is h(i(g))?
236*g**2
Let z(l) = -l**2. Let q(s) = s**3 - 2*s**2 + 1. Let g be (-4 + 3)*(-2)/(-4)*-2. Let d be q(g). Let i(v) = 374*v**2 - 372*v**2 + d*v + 0*v. Calculate z(i(x)).
-4*x**4
Let b(v) = -2*v. Let y be -5*4/(-8)*6/5. Let o(t) be the second derivative of -t**3 + 5*t**3 - 7*t**y - 20*t. Calculate o(b(d)).
36*d
Let d(j) = -j. Let o(x) = 33*x**2 + 3*x - 4251. What is d(o(s))?
-33*s**2 - 3*s + 4251
Let u(l) = -257668*l**2. Let v(g) = 7*g**2. Calculate u(v(h)).
-12625732*h**4
Let a(t) be the second derivative of 0*t**2 + 1/2*t**3 + 0 - 115*t. Let o(b) = 17*b. What is o(a(q))?
51*q
Let s(r) = -2*r - 52. Let l(f) = 260951*f**2. Determine s(l(t)).
-521902*t**2 - 52
Let z(n) = 62*n - 101029. Let p(f) = 3*f. Give p(z(h)).
186*h - 303087
Let l(i) = -2*i. Let p = 44 - 40. Suppose -3*w = 3, -p*j - 5*w + 11 + 84 = 0. Let u(t) = -25 + j + 4*t**2. Give u(l(z)).
16*z**2
Let j(t) = -16*t - 1. Let v(x) be the second derivative of 0*x**2 + 0 - 5/12*x**4 + 133*x + 0*x**3. Determine v(j(h)).
-1280*h**2 - 160*h - 5
Let q(s) = -11*s + 60. Let d(p) = -2*p + 20. Let i(a) = 3*d(a) - q(a). Let k(j) = -516*j. Calculate k(i(v)).
-2580*v
Let f(k) = k**2. Let i(r) = -4712*r - 42 + 4707*r + 0 - 184 + 15. Determine i(f(t)).
-5*t**2 - 211
Suppose h + 5*f - 21 - 3 = 0, -h - f = -8. Suppose t - h*t + 4 = y, -16 = -3*t - 4*y. Let b(c) = t*c + 9*c - 4*c + 23*c. Let p(u) = 2*u. What is p(b(m))?
56*m
Let d(o) = 83*o + 78*o + 142*o - 303*o + 3*o**2. Let y(g) be the first derivative of -g**4/12 - g + 1. Let w(j) be the first derivative of y(j). Give d(w(v)).
3*v**4
Let s(q) = -578*q**2. Let t(i) be the second derivative of -2*i**3/3 + i - 1864. Determine t(s(u)).
2312*u**2
Let n(b) = 30*b + 4. Let z(x) be the third derivative of x**5/20 + x**2 + 639. Give n(z(a)).
90*a**2 + 4
Let m(f) = f + 17. Let d(a) = -9*a**2 - 2*a + 86. Let c(g) = 8*g**2 + 2*g - 129. Let p(n) = 2*c(n) + 3*d(n). Give m(p(q)).
-11*q**2 - 2*q + 17
Let a(d) = 5*d**2 - 15*d**2 - 619*d**2 - 139*d**2 - 392*d**2. Let v(q) = -2*q. Determine a(v(s)).
-4640*s**2
Let w(d) = 170*d. Let p(f) = f**2 + 20675. What is p(w(n))?
28900*n**2 + 20675
Let y(o) = -21*o. Let m(d) be the second derivative of d**5/30 - 79*d**3/6 + d - 12. Let l(x) be the second derivative of m(x). Calculate l(y(i)).
-84*i
Let l(j) = -j**2. Let r(g) = 56814969*g**2. What is l(r(f))?
-3227940702470961*f**4
Let y(b) = b**2. Let n(r) = -26*r - 2. Let k(g) = 2*g - 9 + g**2 + 9 + 2 - 3*g. Let s(t) = k(t) + n(t). 