088320*w**4
Let u(h) = 4*h - 15. Let i(l) = -5332*l**2 - 4. Give u(i(n)).
-21328*n**2 - 31
Let l(r) = -337*r. Let q(t) = -16*t - 8602. Give q(l(c)).
5392*c - 8602
Let m(y) be the first derivative of y**2/2 - 28*y + 79. Let p(n) be the first derivative of -n**2 + 36. Determine m(p(a)).
-2*a - 28
Let o(y) = 11*y**2 + y. Let a(j) be the third derivative of 0*j**4 + 0 - 1/30*j**5 + 0*j**3 + 143*j**2 + 2*j. What is o(a(m))?
44*m**4 - 2*m**2
Suppose 5*x - 15 = 4*r, -3*x = -r + 6*r - 9. Let h be r - (-2 + -1 + (-1)/(-1)). Let o(q) = 8*q**2 + 4*q**2 - 7*q**h. Let d(k) = 3*k. Give o(d(p)).
45*p**2
Let g(l) be the third derivative of 0*l - 33*l**2 + 1/30*l**5 + 0*l**4 + 0*l**3 + 0. Let f(w) = w**2. Give f(g(j)).
4*j**4
Let p(f) = -173673*f. Let o(l) = 743*l**2. Give p(o(r)).
-129039039*r**2
Let l(x) = -22*x**2 - 6*x. Let p(r) = 204*r - 20. Calculate p(l(u)).
-4488*u**2 - 1224*u - 20
Let o(j) = 1250578*j - 1250576*j + 3 - 3. Let u(k) = k + 1947. What is u(o(q))?
2*q + 1947
Let r(c) = -55*c + 36. Let j(s) = 2482*s - 1632. Let w(t) = -3*j(t) - 136*r(t). Let p(u) = -266*u**2. Calculate p(w(v)).
-307496*v**2
Let t(y) = -4466*y**2 + 8620*y**2 - 4156*y**2. Let p(z) = z + 5*z - 6*z**2 - 2*z. What is t(p(b))?
-72*b**4 + 96*b**3 - 32*b**2
Let f(c) = -c**2 + 10*c + 4. Let o be f(10). Suppose -3*v - 4 = 4*b, -o*v + 4 - 7 = 3*b. Let l(i) = v*i - 7*i + 9*i - i. Let z(j) = j. Determine z(l(q)).
q
Let b(l) = -718167*l. Let s(t) = -83*t. What is s(b(n))?
59607861*n
Let r(w) = -426343948*w. Let n(s) = -4*s. Give r(n(o)).
1705375792*o
Let g(u) = 7*u**2. Let z(w) = -w**3 - 10*w**2 - 24*w + 5. Let f be z(-5). Let p(r) be the first derivative of -1/2*r**2 + 14 + f*r. What is p(g(c))?
-7*c**2
Let v(w) = w. Let b(u) = -2*u + 3. Let k(z) = -362*z - 2 - 369*z + 732*z. Let p(t) = 2*b(t) + 3*k(t). Determine v(p(x)).
-x
Let m(r) be the second derivative of 0*r**3 + 0*r**2 + 66*r - 2/3*r**4 + 1. Let y(j) = 5*j**2. Give y(m(c)).
320*c**4
Let h(q) = 10*q. Let r(k) = -479863*k**2. Calculate r(h(y)).
-47986300*y**2
Let i(s) = -974*s**2. Let a(l) = -281*l + 10. Calculate a(i(z)).
273694*z**2 + 10
Let d(s) = 70*s - 13. Let t(r) = -16*r**2 + 499*r. What is t(d(x))?
-78400*x**2 + 64050*x - 9191
Let d(p) be the first derivative of -4*p**5/15 + 4*p**3/3 - 17*p - 94. Let g(j) be the third derivative of d(j). Let c(n) = -5 - 2*n + 5. Determine g(c(a)).
64*a
Let m(s) = 2*s. Let z(f) = 9*f**3 + 5*f - 54. Let b(g) = -g**3 - g + 1. Let a(i) = -5*b(i) - z(i). Let c(u) be the first derivative of a(u). Calculate c(m(l)).
-48*l**2
Let m(g) be the first derivative of -4*g**3/3 - 81. Let v be (2 + -3)/(-3 - -4) - -3. Let x(z) = z**2 - 2*z**2 + 5*z**v + 4*z**2. What is x(m(q))?
128*q**4
Let u = 229 - 227. Let v(p) = -p**2 - 7*p + 5. Let k be v(-7). Let i(s) = -6*s**u + 0 + k*s**2 + 0. Let z(o) = 12*o**2. What is i(z(w))?
-144*w**4
Let o(r) = -9*r + 8*r + 2*r. Suppose -w = 2*w - 108. Let k(c) = 36 - 23*c - w. Calculate o(k(q)).
-23*q
Let r(w) = 12845*w. Let z(o) = -241*o**2 - 5*o. Determine z(r(b)).
-39763560025*b**2 - 64225*b
Let s(h) = 4*h - h - 13*h + 2*h + 6*h. Let g(f) = 23*f - 31. Give g(s(i)).
-46*i - 31
Let l(v) = 3192*v**2. Let f(i) be the third derivative of -i**4/12 - 3*i**2 + 401*i. Determine l(f(x)).
12768*x**2
Let a(m) be the first derivative of -m**6/120 - 11*m**4/8 + 3*m**3 + 14. Let i(t) be the third derivative of a(t). Let z(y) = 2*y**2. Calculate i(z(j)).
-12*j**4 - 33
Let q(r) = 100*r**2. Let a(z) = -13*z + 21. Let c(m) = 5*m - 10. Let g(o) = 2*a(o) + 5*c(o). What is q(g(j))?
100*j**2 + 1600*j + 6400
Let q(v) = -2*v + 4051. Let c(y) = 4*y**2 - 5*y - 19. Determine q(c(a)).
-8*a**2 + 10*a + 4089
Let x(v) = -190020*v**2. Let t(y) = -y**2 + 15. What is t(x(a))?
-36107600400*a**4 + 15
Let b(x) = -236544*x. Let g(l) = -8*l**2. Give g(b(m)).
-447624511488*m**2
Let v(h) = -735*h**2 - 2*h + 2. Let d(u) = 732*u**2 + 3*u - 4. Let t(s) = -2*d(s) - 3*v(s). Let b(k) = k. Calculate t(b(p)).
741*p**2 + 2
Let x(s) = -3*s**2. Let c(w) = -58125*w**2 + 527*w + 1581. Let n(z) = -221*z**2 + 2*z + 6. Let m(y) = 4*c(y) - 1054*n(y). Calculate x(m(g)).
-565068*g**4
Let t = 385 + -380. Let c(q) = -18*q**2 - 2*q - 4. Let n(s) = -37*s**2 - 5*s - 10. Let v(l) = t*c(l) - 2*n(l). Let f(h) = 17*h. Calculate f(v(u)).
-272*u**2
Let b(z) = -28*z**2 + 40*z - 40. Let w(d) = -15*d**2 + 19*d - 16. Let f(m) = -2*b(m) + 5*w(m). Let i(u) = -5*u. What is i(f(g))?
95*g**2 - 75*g
Let y(d) = 2*d**2. Let w(g) be the third derivative of 5*g**4/12 + 2*g**2 - 10*g. Calculate y(w(h)).
200*h**2
Let r(z) = z**2. Suppose 241 = 8*a - 63. Let k(s) = a*s**2 + 40*s**2 - 6*s**2 + 7*s**2. Determine k(r(d)).
79*d**4
Let b(y) = 76*y**2 - y + 49. Let p(d) = 36*d - 8. What is b(p(a))?
98496*a**2 - 43812*a + 4921
Let g(h) = 16931*h. Let s(c) = -5234*c + 1. Calculate s(g(u)).
-88616854*u + 1
Let b(d) = 5*d**2. Let y(a) = 13676664*a. What is y(b(g))?
68383320*g**2
Let k(j) = 357*j - 8. Let i(o) = 2856*o - 68. Let p(w) = 2*i(w) - 17*k(w). Let n(y) = -6*y**2. What is n(p(q))?
-764694*q**2
Let q(n) = -501*n + 2. Let o(a) = -a - 27329. Calculate o(q(x)).
501*x - 27331
Let i(z) = 16*z. Let o(p) = -5*p**2 - 10864*p + 1. What is i(o(h))?
-80*h**2 - 173824*h + 16
Let i(j) = 25704344*j - 16429. Let m(a) = -4694*a + 3. Let c(v) = 3*i(v) + 16429*m(v). Let h(s) = -s**2. What is h(c(w))?
-22033636*w**2
Let b(z) = -3*z**2. Let n(a) = -4*a - 2. Let l(i) = 3*i + 1. Let j(p) = 8*l(p) + 5*n(p). Let h(q) = 7*q - 4. Let r(w) = -3*h(w) + 7*j(w). Calculate r(b(u)).
-21*u**2 - 2
Let s(k) = 3*k. Suppose -4*q - 5*w - 5 + 8 = 0, 9 = 2*q - 5*w. Let b(f) = 229*f - 229*f + 9*f**2 - 7*f**q. Calculate b(s(u)).
18*u**2
Let l(m) = 248*m**2. Let f(b) = -3*b + 17. Let q be 20/8*(-24)/10. Let h(n) = n - 6. Let o(s) = q*f(s) - 17*h(s). What is l(o(u))?
248*u**2
Let g(s) = -2*s. Let y(b) = 17*b. Let n(a) = 1292*a. Let m be (-20)/(-16) - 1/((-12)/(-3687)). Let o(f) = m*y(f) + 4*n(f). Calculate o(g(v)).
68*v
Let n(p) be the third derivative of -40*p**2 + 0*p + 0*p**3 + 1/8*p**4 + 2. Let c(u) = -3*u**2 + 4*u**2 - 3*u**2. Calculate n(c(q)).
-6*q**2
Let g(f) = 2*f. Let k(s) be the third derivative of s**6/20 + s**3 + 42*s**2. Let u(d) be the first derivative of k(d). Calculate u(g(v)).
72*v**2
Let g(k) = 2*k - 13832129. Let p(x) = 3*x. Give g(p(n)).
6*n - 13832129
Let y(a) = 468*a**2 - 913*a**2 + 5*a + 446*a**2 - 5*a. Let b(q) be the third derivative of 0*q**3 + 0*q - 1/30*q**5 + 1/8*q**4 - q**2 + 0. Give b(y(p)).
-2*p**4 + 3*p**2
Let l(v) be the second derivative of 15*v**3/2 + 768*v. Let z(s) = -7*s. Calculate z(l(n)).
-315*n
Let c(j) = -15*j. Let m(w) be the third derivative of -w**4/2 - w**3/6 + 659*w**2. Give c(m(l)).
180*l + 15
Let n(g) = 853*g - 126*g - 364*g - 363*g + 6*g**2. Let a(d) = 1346*d. Give n(a(m)).
10870296*m**2
Let k(d) = -24*d**2. Let b(g) = 7115268*g**2. Determine b(k(o)).
4098394368*o**4
Let f = -34199 + 34199. Let o(j) be the first derivative of 16 - 9/2*j**2 + f*j. Let y(k) = 9*k**2. Determine y(o(d)).
729*d**2
Let i(y) = 11545*y - 22559*y + 11912*y. Let l(r) = r. Give l(i(v)).
898*v
Let x(b) = 112*b**2. Let r(k) = 35359*k**2 - 6*k - 3. Calculate r(x(w)).
443543296*w**4 - 672*w**2 - 3
Let f(u) = 140*u. Let n(s) = s + 50532. Give f(n(k)).
140*k + 7074480
Let v(d) = -3592261*d. Let a(i) = 163*i. What is v(a(m))?
-585538543*m
Suppose 0 = -14*p - 168 + 168. Let t(d) be the third derivative of 0*d + 0 + 1/20*d**5 - 5*d**2 + 0*d**3 + p*d**4. Let a(g) = 13*g**2. What is a(t(c))?
117*c**4
Let v(a) be the third derivative of 3*a**5/20 - 744*a**2 + 1. Let j(i) = -51*i**2. Determine v(j(k)).
23409*k**4
Let g(d) = -d + 1. Let x(c) = 5*c + 9. Let b be x(-2). Let y(o) = 29*o**2 + 4*o - 4. Let z(r) = b*y(r) - 4*g(r). Let h(m) = m. Determine h(z(u)).
-29*u**2
Let b(h) = -63*h**2 - 56*h**2 - 60*h**2 + 168*h**2. Let f(n) = -100*n - 45. Let l(s) = 9*s + 4. Let p(z) = 4*f(z) + 45*l(z). Give b(p(w)).
-275*w**2
Let x(a) = a + 1. Let c(m) = m**2 + 3*m + 3. Let o(r) = -c(r) + 3*x(r). Suppose -1509 = -7*g + 976. Let t(l) = -360*l - g*l + 711*l. Give o(t(u)).
-16*u**2
Let x(j) be the second derivative of j**6/120 + 11*j**5/120 + 29*j**4/6 - 32*j. Let m(f) be the third derivative of x(f). Let s(p) = p**2. Give m(s(c)).
6*c**2 + 11
Let u = 180 - 173. Let c(v) = 5 + 54*v - 13*v - u. Let r(a) = -