2
Let c(v) be the second derivative of -v**4/3 - 3*v. Let w(h) be the third derivative of -h**5/10 - 162*h**2. What is w(c(f))?
-96*f**4
Let m(v) = -5*v**2 + 8*v + 4. Let j(l) = 4*l**2 - 6*l - 3. Let z(f) = -4*j(f) - 3*m(f). Let u(q) = -4*q + 0*q - 4*q + 0*q. Give u(z(o)).
8*o**2
Let r(u) = 48126*u**2. Let h(o) = 58*o. What is h(r(x))?
2791308*x**2
Let i(o) = 14143*o**2. Let t(f) = 17*f**2. What is i(t(y))?
4087327*y**4
Let c(v) = -v**2 - v - 1. Let o(s) = 10*s**2 + 9*s + 9. Let x(g) = 18*c(g) + 2*o(g). Let y(u) = -349*u**2. Determine y(x(k)).
-1396*k**4
Let a(w) = -92*w. Let o(t) = -4*t. Let g(x) = 6*a(x) - 136*o(x). Let f(p) = 11*p + 26. Let n(b) = 81*b + 195. Let v(q) = -15*f(q) + 2*n(q). Give g(v(s)).
24*s
Let w(r) = 188507 - 188507 - r**2. Let m(q) = 4*q. Calculate w(m(u)).
-16*u**2
Let j(z) = 36*z**2 - 20*z**2 - 22*z**2 - 5*z**2 - 11*z**2. Let c(u) be the first derivative of -u**2 + 2. What is j(c(w))?
-88*w**2
Let j(s) = s**2. Let n(c) = -568*c**2 + 9. What is j(n(f))?
322624*f**4 - 10224*f**2 + 81
Let z(x) = 2*x**2. Let u(i) = 3*i + 316. What is u(z(o))?
6*o**2 + 316
Let d(s) = -16*s**2 - s. Let g(f) be the first derivative of -f**3/3 + 78. Determine d(g(r)).
-16*r**4 + r**2
Let u(n) = 6*n. Let q(t) = 623 - 308 + 4*t - 315. What is q(u(l))?
24*l
Let c(p) = -74*p**2. Let s(g) = 2. Let h(m) = -m - 10. Suppose 0 = -2*n + 8 - 4. Let d(q) = n*h(q) + 10*s(q). Determine c(d(k)).
-296*k**2
Let v(a) = -7*a**2 - 5*a + 15. Let u(w) = 10*w**2 + 7*w - 21. Let m(b) = -5*u(b) - 7*v(b). Let q(z) = 120*z**2. Calculate m(q(g)).
-14400*g**4
Let c(y) = 85*y. Let k(h) = 11*h. Let g(j) = j. Let t(i) = -6*g(i) + k(i). Let f(v) = 2*c(v) - 35*t(v). Let l(x) = 3*x**2. Calculate l(f(p)).
75*p**2
Let d(a) = a. Let h = -405 + 877. Let r(x) = 4*x**2 + 472*x - h*x. Calculate d(r(s)).
4*s**2
Let a(f) be the third derivative of -f**5/60 + 2*f**2 - 3. Let n(o) = -17*o**2. Determine n(a(s)).
-17*s**4
Let r(h) = -2*h**2. Let z(i) = 3. Let g(y) = 10*y - 30. Let d(t) = g(t) + 8*z(t). Give d(r(l)).
-20*l**2 - 6
Let a(d) = -5*d. Let z(t) = 6*t**2 - 2*t - 2. Let i(j) = 9 - 11*j**2 - j**2 - 6 + 2 + 5*j. Let v(f) = 2*i(f) + 5*z(f). Give v(a(k)).
150*k**2
Let c(v) = -2*v. Let q(t) be the first derivative of -447*t - 2*t**2 + 2 + 447*t. Calculate q(c(x)).
8*x
Let f(h) = 3*h**2. Let l(w) = 9*w**2 - 36*w - 13. Give l(f(q)).
81*q**4 - 108*q**2 - 13
Let u(w) = w - w + w + 0*w. Let r(y) = y**2 + 110*y. What is r(u(h))?
h**2 + 110*h
Let t(o) = -7 + 7 + 0*o - 5*o. Let i(m) = 2*m. Let a(b) = b**2 - 5*b. Let d(l) = 2*a(l) + 5*i(l). What is d(t(j))?
50*j**2
Let w be (1 + 2)*4/6. Let f(b) = 16*b**2 - 8*b**2 - 10*b**w. Let u(a) = -11*a**2. Calculate f(u(h)).
-242*h**4
Let f be 2/(8/4)*4. Let s(o) = -2*o**2 + f*o**2 + 3 - 3. Let v(p) = -p. Give s(v(w)).
2*w**2
Let k(i) = 4*i. Let w(t) = t**2 - 7*t + 10. Let s be w(9). Let a(u) = 3*u + 28 + 6*u - s. Give a(k(r)).
36*r
Let r(x) = -650242*x**2. Let z(v) = -4*v**2. Give r(z(w)).
-10403872*w**4
Let l(z) = z. Let q(b) = 6504780*b**2. Calculate l(q(y)).
6504780*y**2
Let x(r) = r**2 + 2*r - 3. Let n be x(-3). Let t(m) = -8*m**2 + 4*m**2 + n*m**2. Let o(h) = 9*h**2. Calculate o(t(g)).
144*g**4
Let j(r) = -131*r + 340*r**2 + 131*r - 353*r**2. Let w(d) = -2 - 3*d**2 + 2. What is w(j(y))?
-507*y**4
Let f(o) = 111*o**2 - 110*o**2 + 26 - 26. Let p(z) = -z - 4. Determine f(p(g)).
g**2 + 8*g + 16
Let f(s) = 15*s**2. Let v(u) = -6055*u. Calculate v(f(a)).
-90825*a**2
Let t(x) = -11*x. Let z(b) be the second derivative of -b**4 - 175*b. Give z(t(i)).
-1452*i**2
Let t(k) = -k**2. Let m(f) = f**2 + 253. Calculate m(t(b)).
b**4 + 253
Let x(f) = -5*f**2. Suppose -2*h = 4*p - 6*h - 24, 3*h + 6 = 0. Suppose 4*i - 2*r - 22 = 0, 0 = p*i - r - 15 - 2. Let t(k) = 2*k + i*k - 2*k - k. Give x(t(z)).
-20*z**2
Let j(y) = 37*y**2. Let p(f) = 4292*f**2. What is p(j(l))?
5875748*l**4
Let l(x) = 270*x - 1. Let f(q) = -130*q. What is l(f(n))?
-35100*n - 1
Let w(n) = 7*n**2. Let c(i) = 25*i + 202. Let v be c(-8). Let k(m) be the second derivative of 1/3*m**3 + 0 + 0*m**v + 4*m. Calculate k(w(p)).
14*p**2
Let d(l) = 179*l**2 - 53. Let f(i) = 7*i. Calculate d(f(m)).
8771*m**2 - 53
Suppose -4*g + 2 = x - 55, -4*x = 2*g - 46. Let a(i) = -g - 73*i + 13 + 26*i. Let c(t) = 2*t**2. Determine c(a(k)).
4418*k**2
Let x = -62 + 42. Let f = -18 - x. Let k(m) = 0*m**2 - 7*m**2 - 5*m**2 + m**f. Let s(n) = n**2. What is k(s(o))?
-11*o**4
Let d(m) = 2*m**2. Let s(n) = 980638*n**2. Determine s(d(q)).
3922552*q**4
Let y(q) be the second derivative of 23*q + 0 - 1/6*q**3 + 0*q**2. Let t(d) = -2*d**2. Calculate y(t(c)).
2*c**2
Let j(m) = -6*m**2 - 2*m + 2*m. Let b(a) = -a**2 + 12*a - 25. Let g be b(9). Let c(n) = 0*n - g*n + 0*n. Give j(c(p)).
-24*p**2
Let y(t) = 8*t**2. Let l(x) be the second derivative of x**3/6 + 84*x. What is l(y(w))?
8*w**2
Let u = -1 - -2. Suppose -u = -4*p + 7. Let g(i) = 3*i - 3*i + 8*i**2 - 6*i**p. Let v(x) = -10*x. Determine g(v(f)).
200*f**2
Let l(m) = -7 - 75*m - 15 + 27 - 5. Let t(k) = -2*k**2. Calculate l(t(z)).
150*z**2
Let y(b) = b. Let i(l) = -47*l**2 - 29*l - 4. Calculate y(i(p)).
-47*p**2 - 29*p - 4
Let x(f) = -3*f. Let k(v) = -2562*v - 3. Calculate x(k(d)).
7686*d + 9
Let u(y) = -y**2. Let t(p) = 239*p - 2. Let f(b) = -28441*b + 239. Let c(m) = 2*f(m) + 239*t(m). What is c(u(k))?
-239*k**2
Let p(o) = 7125*o**2. Let g(r) = -137*r**2. Let y(d) = 209*g(d) + 4*p(d). Let j(x) = 4*x. Determine j(y(q)).
-532*q**2
Let n(d) = d + 1 - 1. Suppose -18*g - 532 = -22*g. Let u(i) = 133 - g - i**2. Calculate u(n(m)).
-m**2
Let k(a) = 26*a. Let o be 0 + (-13)/(-5) + 44/110. Let w(v) = -o*v + 0*v + v. Calculate k(w(g)).
-52*g
Let w(a) = 48*a. Let y(f) = 27*f**2 + 11*f. Let o(m) = -5*m**2 - 2*m. Let k(b) = -22*o(b) - 4*y(b). Calculate w(k(s)).
96*s**2
Let o(c) = -635*c**2 + c - 6. Let x(m) = 7*m**2. What is o(x(a))?
-31115*a**4 + 7*a**2 - 6
Let t(h) = h**2 + 87027*h - 87027*h. Let v(w) = -303*w. Give t(v(a)).
91809*a**2
Let j(i) = 2*i**2 + 4*i - 4. Let f(h) = -3*h**2 - 5*h + 5. Let w(k) = -4*f(k) - 5*j(k). Let s(c) be the third derivative of 23*c**5/60 + c**2. Give s(w(r)).
92*r**4
Let u(q) = 4*q - 18900. Let p(w) = 2*w**2. Give u(p(v)).
8*v**2 - 18900
Let l(z) = 17 - 32 - 11*z + 17. Let a(n) = -2*n**2. Determine l(a(x)).
22*x**2 + 2
Let q(l) be the first derivative of 19 - 2*l**2 + 4*l**2 - 8*l**2. Let m(g) = 4*g. Calculate m(q(p)).
-48*p
Let x(l) = 87*l**2 - 18. Let u(s) = -25*s**2 + 5. Let k(q) = 18*u(q) + 5*x(q). Let j(o) = 5*o**2 - 14*o**2 + o**2 + 4*o**2 + 3*o**2. Determine k(j(d)).
-15*d**4
Let l(f) be the first derivative of -f**3 + 1. Let b(a) be the second derivative of -7*a**4/12 + 76*a - 2. Give l(b(d)).
-147*d**4
Let s(m) = 2*m + 6. Let u(q) = -11 - 5*q + 2*q + 3. Let t(n) = 4*s(n) + 3*u(n). Let a(v) = -37*v. Give t(a(y)).
37*y
Let p(i) = 6*i + 4. Let r(k) = -k - 1. Let b(n) = p(n) + 4*r(n). Suppose 19*x = 16*x + 6. Let y(u) = 1 + u**2 + 1 - x. Calculate b(y(w)).
2*w**2
Let d(u) = 2*u**2 - 6*u + 6. Let x(b) = -2*b**2 + 5*b - 5. Suppose 5*z = -8*z - 65. Let g(f) = z*d(f) - 6*x(f). Let o(r) = 6*r. Calculate g(o(s)).
72*s**2
Let v(h) be the first derivative of -3*h**2 - 15. Let u(s) be the first derivative of -2*s**2 + 1. Give u(v(r)).
24*r
Suppose -3*t = -35 + 20. Let k(s) be the third derivative of 0*s - 9*s**2 + 0 + 0*s**3 + 0*s**4 + 1/60*s**t. Let v(p) = 8*p**2. Give v(k(x)).
8*x**4
Let j(k) = 2*k**2 - 2. Let f(n) = -8*n**2 + 9. Let m(h) = -2*f(h) - 9*j(h). Let x(i) = -3*i**2 - 3*i. Give x(m(w)).
-12*w**4 + 6*w**2
Let n(u) = -4*u - 3423. Let f(m) = 7*m**2. What is f(n(g))?
112*g**2 + 191688*g + 82018503
Let h(z) be the third derivative of z**5/15 - z**4/4 - z**2 - 408*z. Let x(f) = -f. Calculate h(x(q)).
4*q**2 + 6*q
Let j(q) = q. Let m(a) = 6*a**2 - 3*a - 539. Determine j(m(r)).
6*r**2 - 3*r - 539
Let k(a) = -3*a**2. Let b(w) = 3*w - 8. Let r be b(-9). Let z be 10/r + 149/7. Let t(g) = 21 - z - 5*g. Determine k(t(s)).
-75*s**2
Let x(y) = 5*y. Let c(t) be the third derivative of 239*t**4/24 - 4*t**2 - 12*t. Give c(x(i)).
1195*i
Let u(g) = -27654*g**2. Let i(z) = 2*z**2. Determine u(i(a)).
-110616*a**4
Let j(t) = 3*t**2. Let x(d) be the first derivative of -35*d**2/2 + 15. Determine j(x(l)).
3675*l**2
Let b be 9 + (-4 + 0 - -3). Suppose -4*t + 4*a = -b, 4*a - 2*a =