 3
Let q(a) be the third derivative of -a**4/24 + 34*a**3/3 + 14*a**2 + 1. Let d(h) = -h**2. What is q(d(b))?
b**2 + 68
Let u(x) = 11*x + 15. Let j(v) = 20*v + 27. Let m(h) = 5*j(h) - 9*u(h). Let b(s) = 5*s + 3. Give m(b(o)).
5*o + 3
Let p(o) = -59*o**2 + 29*o**2 + 22*o**2. Let k be 2/(-6)*60/(-4). Let a(t) = -3*t**2 + k*t**2 - 3*t**2 + 3*t**2. Calculate p(a(s)).
-32*s**4
Let q(m) = -2*m. Let l(w) = -6*w**2 - 320*w + 5. Give l(q(c)).
-24*c**2 + 640*c + 5
Let z(x) = 6*x + 3. Let f(r) = 20*r + 12. Let l(g) = 41*g + 26. Let t(v) = 5*f(v) - 2*l(v). Let y(c) = 4*t(c) - 11*z(c). Let h(s) = -2*s. What is y(h(n))?
-12*n - 1
Let g(n) = 4*n + 8. Let o(r) = 3588*r. Give g(o(x)).
14352*x + 8
Let a(i) = -2*i - 34. Let u(n) = -6*n. Determine a(u(k)).
12*k - 34
Let y(v) = -5*v**2. Let p(z) be the first derivative of z**6/36 - 13*z**3/3 + 7. Let d(i) be the third derivative of p(i). Determine y(d(t)).
-500*t**4
Let r(i) = 2*i**2. Let k(z) be the second derivative of -z**5/60 + 5*z**3/3 + 4*z. Let w(b) be the second derivative of k(b). Determine w(r(d)).
-4*d**2
Let m(r) = r**2 + 3*r. Let l(q) = 4*q**2 + 10*q. Let f(h) = -3*l(h) + 10*m(h). Let o(k) be the first derivative of 2*k**3 - 176. Determine o(f(s)).
24*s**4
Let f(i) = i**2. Suppose -7*r + 9 = -4*r. Let g(a) be the second derivative of -a**r + 54*a**2 - 24*a**2 + 2*a - 30*a**2. What is f(g(t))?
36*t**2
Let q(v) be the third derivative of v**4/24 - 2*v**2. Let o(i) be the second derivative of -5*i**3/6 - i**2 - 237*i + 2. Determine o(q(a)).
-5*a - 2
Let h(l) = 8*l + 12. Let i(b) = -5 - 7*b + 2*b + 2*b. Let o(n) = 5*h(n) + 12*i(n). Let s(j) be the first derivative of j**2/2 + 2. Determine s(o(y)).
4*y
Let z(d) = -12*d. Let r(j) = 34*j - 59. Determine r(z(x)).
-408*x - 59
Let j(m) = 2*m + 3 - 3. Let r(k) = -10*k**2 - 37 + 37 - 8*k**2. Calculate j(r(n)).
-36*n**2
Let h(u) be the second derivative of u**4/6 + 607*u. Let o(y) = -13*y - 3*y - 6*y. What is h(o(c))?
968*c**2
Let s(y) = 0 - 2 + 12*y**2 + 2. Let l(v) = v**2 + 4. Let i(g) be the third derivative of -g**3/6 - 7*g**2. Let n(c) = 4*i(c) + l(c). Determine s(n(p)).
12*p**4
Let j(s) = 12*s**2. Let d(g) = 203*g**2 + 10*g. Let b(x) = -304*x**2 - 16*x. Let w(m) = 5*b(m) + 8*d(m). What is j(w(v))?
129792*v**4
Let k(x) = 3*x**2. Let z(v) = 1. Let y(c) be the third derivative of 0 - 1/24*c**4 + 0*c + 3*c**2 + 1/2*c**3. Let s(w) = -y(w) + 3*z(w). Calculate k(s(u)).
3*u**2
Let i(s) be the third derivative of 5*s**4/24 - 14*s**2. Let f(k) = 11*k - 5. Let y(q) = -12*q + 6. Let w(a) = -6*f(a) - 5*y(a). Give w(i(m)).
-30*m
Let b(g) = 1100*g. Let f(w) = 9*w**2. What is f(b(x))?
10890000*x**2
Let y(x) be the second derivative of -x**3 + 4*x. Let a(c) = -21*c. Determine a(y(q)).
126*q
Let h(d) = 55002*d. Let l(j) = -j. Determine l(h(f)).
-55002*f
Let t(m) = -7*m**2. Let h = 13 - 11. Suppose 5*k = -4*o + 14, -2*o + h + 2 = 2*k. Let s(q) = -2*q - 4*q + k*q + q. Give t(s(y)).
-7*y**2
Let h(c) = -5*c**2 - 464. Let i(t) = 3*t**2. Determine i(h(w)).
75*w**4 + 13920*w**2 + 645888
Let n be 6*(-7)/(42/(-9)). Let g(d) = -2*d - n - 5 + 14. Let i(t) = 3*t**2. Calculate i(g(b)).
12*b**2
Let m(w) = -18400*w**2 + 3*w. Let o(g) = -7*g. What is o(m(y))?
128800*y**2 - 21*y
Let g = -60 + 63. Let p(t) = 53*t - g*t**2 - 53*t. Let u(y) = -33*y**2. What is p(u(i))?
-3267*i**4
Let r(b) = 15*b. Let l(t) = 118*t**2 + 121. Determine r(l(k)).
1770*k**2 + 1815
Let v(t) = t**2 - 2*t. Let u(a) = a**2 - 5*a. Let n(g) = 2*u(g) - 5*v(g). Let b(c) = 7*c**2 + 410*c - 410*c. What is n(b(k))?
-147*k**4
Let i(h) = 11*h**2 + 2*h + 34. Let v(y) = 2*y**2. Give i(v(k)).
44*k**4 + 4*k**2 + 34
Let v(d) = -7*d**2. Let z(c) = c - 4. Let s(q) = -42*q + 16. Let x(o) = s(o) + 4*z(o). Determine x(v(r)).
266*r**2
Let i(j) = -9*j + 318. Let v(y) = 4*y**2 - 158*y. Calculate i(v(o)).
-36*o**2 + 1422*o + 318
Let p(f) = -2*f + 3. Let s(n) = -4014*n**2 + 9. What is p(s(y))?
8028*y**2 - 15
Let l(p) = 2*p + 74. Let f(z) = -z + 4*z + 3*z - 23*z + 8*z. Give l(f(s)).
-18*s + 74
Let k(c) = 390164*c**2. Let n(l) = 2*l**2. What is n(k(r))?
304455893792*r**4
Let u(p) = -85*p + 6. Let x(w) = w**2. Calculate u(x(y)).
-85*y**2 + 6
Let w(h) = 5*h. Let v(f) = -523*f + 36. Give w(v(x)).
-2615*x + 180
Let n(h) = -218625*h. Let r(o) = o**2. Calculate n(r(k)).
-218625*k**2
Suppose 28 - 7 = -k + 5*y, -32 = -3*k - 4*y. Let r = -20 + 26. Let t(s) = -7*s + r*s + k*s. Let o(h) = -h**2. Calculate o(t(a)).
-9*a**2
Suppose -15 = -4*i + 5*x + 24, -x - 3 = 0. Let z(r) = -2*r - i*r + 6*r. Let o(t) = 0 - 4*t**2 + 0 + 7*t**2. Calculate z(o(u)).
-6*u**2
Let w(o) = -40*o**2. Let i(p) = -1. Let t(l) = 2*l - 2. Let s be t(-2). Let j(c) = -c - 6. Let f(y) = s*i(y) + j(y). What is w(f(g))?
-40*g**2
Let k(g) be the second derivative of g**4 + 5*g. Let a(i) = i. Let v(y) = -y**2 - 2*y. Let t(s) = -2*a(s) - v(s). Determine t(k(f)).
144*f**4
Suppose 0 = -4*o - 71 + 83. Suppose 0 = 4*v - 3*v - 8. Let s(i) = v + i + o - 11. Let z(u) = u**2. What is z(s(c))?
c**2
Let v(a) = -5*a. Let h(d) = -16*d - 5*d + 13*d - 19*d. Give h(v(k)).
135*k
Let a = 880 + -878. Let c(z) be the first derivative of 0*z - a + 7/2*z**2. Let l(r) = -r. Calculate c(l(q)).
-7*q
Let t(q) = 9*q**2. Suppose 58 = 14*j - 180. Let d(g) = -59*g + 28*g + j*g + 23*g. Give d(t(v)).
81*v**2
Let u(l) = 1984*l. Let v(f) = -412*f. Determine v(u(c)).
-817408*c
Let o(d) be the third derivative of d**5/60 - 167*d**2. Let p(f) = -f + 3. Determine p(o(u)).
-u**2 + 3
Let d(l) = 16*l**2. Suppose 0*s + 47 = 4*z + 5*s, -4*z - 3*s = -41. Suppose -z = -2*x + r, 2*r = -x + 7*r - 5. Let n(p) = -2*p + x*p - 5*p. Give d(n(f)).
64*f**2
Suppose n - 7 + 3 = 0. Let h(g) = 3529 + n*g**2 - 3529. Let k(b) be the third derivative of -b**5/10 - 2*b**2. Determine k(h(a)).
-96*a**4
Let i(y) = -161*y**2. Let v(l) = 1. Let o(t) = 2*t + 6. Let w(b) = -o(b) + 6*v(b). What is i(w(d))?
-644*d**2
Let h(l) = -10*l. Let a(s) = -20*s. Let t(o) = 6*a(o) - 13*h(o). Let v(z) = 1 - 10878*z - 1 + 10877*z. What is t(v(m))?
-10*m
Let m(y) = -21*y**2 - 26*y**2 - 20*y**2 + 68*y**2. Let v(t) = -t**2 + 35*t. Calculate v(m(q)).
-q**4 + 35*q**2
Let m(c) be the second derivative of c**4/12 + 9*c + 15. Let s(p) = -147*p. What is s(m(b))?
-147*b**2
Let l(m) = 7*m**2. Let s = -17 - -18. Suppose 7 = c + 5. Let v(z) = c - 3 + z + s. Determine v(l(x)).
7*x**2
Let i(b) = 7*b. Let c(z) = -10573*z**2. Calculate c(i(u)).
-518077*u**2
Let v(y) = 2*y. Let w(k) be the first derivative of -15/2*k**2 + 0*k - 7. Determine w(v(x)).
-30*x
Let q(o) = 2*o**2 - 39*o. Let i(p) = 12*p**2 - 44*p**2 + 20*p**2 + 14*p**2. Calculate q(i(f)).
8*f**4 - 78*f**2
Let c(q) = -2*q**2. Let p(t) = 2 - 3 - 5*t**2 + 18*t**2 + 40*t**2. Let h be p(-1). Let y(s) = -52*s + 10*s**2 + h*s. Determine c(y(a)).
-200*a**4
Let w(v) = 2*v. Let c(g) = 96216*g**2. Give c(w(s)).
384864*s**2
Let p(f) = 146891*f. Let l(x) = -2*x. Calculate l(p(z)).
-293782*z
Let h(f) = -2*f**2 - 569*f - 356. Let j(m) = m**2. Give h(j(z)).
-2*z**4 - 569*z**2 - 356
Let s(r) = 5923*r. Let i(b) = 640*b. Calculate i(s(p)).
3790720*p
Let m(s) = 2*s**2 + 12*s. Let a(l) = -17*l + 49. Let n(w) = -6*w + 14. Let o(z) = -2*a(z) + 7*n(z). Give m(o(v)).
128*v**2 - 96*v
Let f(c) = 4*c. Let b(y) = -69213*y. What is b(f(u))?
-276852*u
Let a(x) = -20*x**2 - 17*x - 17. Let h(r) = 7*r**2 + 6*r + 6. Let w(v) = 6*a(v) + 17*h(v). Let n(m) = 7*m**2 + m**2 + 3*m**2 - 5*m**2. Determine n(w(f)).
6*f**4
Let s(a) = -a + 41. Let v(l) = l - 13. Let h(x) = 4*s(x) + 11*v(x). Let b(t) = -4*t**2. What is b(h(r))?
-196*r**2 - 1176*r - 1764
Let i be (-12)/(-3) - (-64)/4. Let o(a) = 386 + i*a - 386. Let j(n) = n**2. Determine o(j(h)).
20*h**2
Let d(l) be the second derivative of 13*l**3/6 + 3*l. Let f(w) = -21*w**2 + 24*w**2 + 0*w**2. Determine f(d(h)).
507*h**2
Let i = -1133 + 1135. Let u(r) be the first derivative of 7/2*r**i - 7 + 0*r. Let p(v) = -3*v. Calculate u(p(s)).
-21*s
Let j(k) be the third derivative of 7*k**4/24 - k**2. Let z(d) be the second derivative of -5*d**3/6 - 2*d + 218. Determine z(j(h)).
-35*h
Let h(w) be the first derivative of -w**2/2 - 1. Let u(v) be the third derivative of v**4/3 + 84*v**2. Give u(h(k)).
-8*k
Let g(h) be the third derivative of -1/12*h**4 + 0 + 0*h**3 + 0*h - 2*h**2. Let i(n) = -6*n**2. Give g(i(x)).
12*x**2
Let v(t) = 1