g + 12
Let f(l) = 4*l + 517. Let b(w) = 51*w**2 + 4. What is f(b(t))?
204*t**2 + 533
Let a(h) = 3*h**2. Let l(d) = 736*d + 10. Calculate a(l(x)).
1625088*x**2 + 44160*x + 300
Let p(s) = 513*s. Let b(u) = -10120*u. Determine b(p(v)).
-5191560*v
Let d(q) = -3*q + 13. Let r(k) = -k + 6. Let y(m) = -6*d(m) + 13*r(m). Let u(o) be the second derivative of o**4/3 + 19*o. What is y(u(t))?
20*t**2
Let k(y) = 6*y. Let q(i) be the first derivative of 7*i**2/2 + 686. What is q(k(r))?
42*r
Let y(l) = 3*l - 63. Let i(q) be the second derivative of q**3/6 - 15*q - 3. Give y(i(g)).
3*g - 63
Let t(q) = 57698*q**2. Let c(m) = m**2. Calculate t(c(d)).
57698*d**4
Suppose -3*c = -4*c. Suppose -5*a + 13 = -4*r - c*a, 10 = 5*r - a. Let l(u) = -r*u - 11*u - 7*u + 20*u. Let o(n) = n**2. Calculate o(l(m)).
m**2
Let g(c) = -9368*c + 6*c**2 + 2 + 9368*c. Let l(w) be the second derivative of -w**4/6 + 5*w. What is g(l(h))?
24*h**4 + 2
Let v(w) = 17*w**2. Let r(d) be the first derivative of d**5/60 - 33*d**2/2 + 24. Let k(c) be the second derivative of r(c). Determine k(v(b)).
289*b**4
Let c(h) = -26*h**2 - 30*h + 13. Let v(a) = -a. Determine c(v(y)).
-26*y**2 + 30*y + 13
Let m(j) = 2*j**2 - 51*j. Let s(l) = 5*l + 6. Let o(y) = -4*y - 4. Let d(c) = -3*o(c) - 2*s(c). Determine d(m(z)).
4*z**2 - 102*z
Let s(d) = 2*d. Let r(c) be the third derivative of 0*c + 0 - 32*c**2 + 1/60*c**5 + 0*c**4 + 0*c**3. Determine s(r(x)).
2*x**2
Let t(d) = 3*d**2 + 4. Let n(g) = -2. Suppose 0 = m - 7 - 0. Let z(p) = 3. Let k(x) = m*n(x) + 5*z(x). Let r(h) = -4*k(h) + t(h). Let w(s) = s. What is w(r(u))?
3*u**2
Let d(f) = 2*f**2 + 1588*f + 1. Let u(v) = -426*v. Give d(u(a)).
362952*a**2 - 676488*a + 1
Let y(q) = -24*q + 4*q - 15*q - 21*q. Let p(x) = -41980 - x**2 + 41980. Determine y(p(g)).
56*g**2
Let y(p) be the second derivative of p**3 - 2*p**2 - 85*p. Let f(q) = 6*q**2. Determine y(f(s)).
36*s**2 - 4
Let a(k) = 8*k**2 - 13*k**2 + 3*k**2. Let i(f) = -29*f - 4 + 4. Give a(i(t)).
-1682*t**2
Suppose 3*o - 2*j = 4, 4*o + 5*j - 9 - 4 = 0. Let w(i) = i - 91*i**2 + 90*i**o - i. Let t(s) be the second derivative of s**3 - 2*s. Determine t(w(q)).
-6*q**2
Let j(y) = 44*y**2. Let x(h) be the third derivative of -h**4/24 - 23*h**2. Calculate j(x(a)).
44*a**2
Let c(d) = 6*d**2. Let f(g) = 17*g + 9. Let t(x) = -4*x - 2. Let u be 5*5/((-5)/(-7)). Suppose -u = -5*i - 15. Let p(r) = i*f(r) + 18*t(r). Determine c(p(w)).
96*w**2
Let y(c) = -4536*c. Let r(b) = 26*b. What is r(y(d))?
-117936*d
Let n(v) = -3*v**2. Let k be ((-1)/(-2))/((-6)/(-24)). Let c(p) = -24*p + 9*p + 15*p + 10*p**k. Calculate c(n(z)).
90*z**4
Let l(b) = 97569 - 97569 - 2*b. Let q(f) = 4*f**2 - 5*f. Calculate l(q(u)).
-8*u**2 + 10*u
Let b(m) = -615*m. Let r(c) = 692*c. Calculate b(r(y)).
-425580*y
Suppose -s = 4*m - 13, -4*m + 11 = -s - 0. Let l(k) be the first derivative of -620*k + k**m - 9 + 620*k. Let i(h) = -3*h**2. What is l(i(j))?
27*j**4
Let w be -3 + 13 + (-8)/(-4). Let i(n) = -6*n - 5*n + w*n + n. Let x(b) = 75*b**2. Calculate i(x(r)).
150*r**2
Let z(v) = -13*v + 6. Let q(s) be the second derivative of 13*s**3/3 - 13*s**2/2 - 12*s. Let l(w) = -6*q(w) - 13*z(w). Let i(n) = -2*n**2. Calculate l(i(y)).
-26*y**2
Let p(a) = 70*a. Let u(n) = 7333*n. Give p(u(z)).
513310*z
Let o(j) = -28*j - 9. Let d(l) = -7*l - 2. Let m(i) = 9*d(i) - 2*o(i). Let n(a) be the third derivative of a**5/12 - 3*a**2 + 47*a - 1. What is m(n(w))?
-35*w**2
Let x(t) = -t**2 - 18*t - 9. Let a(z) = 4*z + 2. Let m(o) = -9*a(o) - 2*x(o). Let g(l) = 31*l**2. Give g(m(p)).
124*p**4
Let g(y) = 7*y. Let b(o) = 2418*o - 19. Calculate b(g(n)).
16926*n - 19
Let t(o) be the first derivative of o**3 + 8. Let s(l) = -5*l - 3. Let q(r) = -7 - 3*r - 7*r - r. Let b(p) = -3*q(p) + 7*s(p). Determine b(t(h)).
-6*h**2
Let q be (2/5)/((-3)/15). Let d(m) = -11*m. Let h(r) = -2 + 2 + 100*r - 111*r. Let g(n) = q*d(n) + 3*h(n). Let u(b) = 2*b**2. What is u(g(a))?
242*a**2
Let d(m) = -8*m - 118. Let t(s) = -32*s. Calculate d(t(r)).
256*r - 118
Let r(g) = 3562 - 3562 + 2*g. Let z(p) = -p. Let l(k) = r(k) + 4*z(k). Let a(q) be the second derivative of 5*q**4/3 + 3*q. Determine a(l(v)).
80*v**2
Let u(c) = 391*c + 2. Let b(a) = -3571*a + 3*a**2 + 3571*a. Determine u(b(y)).
1173*y**2 + 2
Let p(o) = 2*o + 199581. Let n(q) = -q. Give n(p(h)).
-2*h - 199581
Let y(p) = -24*p + 30. Let c(k) = -k + 1. Suppose t + 6 + 24 = 0. Let j(b) = t*c(b) + y(b). Let a(i) be the first derivative of i**2 + 1. What is j(a(o))?
12*o
Let a(u) = -6*u**2. Let r(g) = -505*g. Determine r(a(x)).
3030*x**2
Let c(m) = -5*m**2 + 27*m**2 - 12*m**2 - 11*m**2. Let g(l) = -9*l. Calculate c(g(o)).
-81*o**2
Let m(z) = -z. Let h(b) = -15*b + 27181. Give h(m(q)).
15*q + 27181
Let u(s) = 3*s**2 + 14. Let w(d) = -d**2 - 6. Let c(o) = -6*u(o) - 14*w(o). Let h(z) = 3*z**2 - 9. Give h(c(t)).
48*t**4 - 9
Suppose 0 = -d + 2*d - 2. Let p(n) = -d*n**2 + 24 + 27 - 51. Let c(o) = -24*o. What is c(p(m))?
48*m**2
Let y(f) = -18*f. Let u(t) be the second derivative of 2*t**3/3 + 30*t. Determine u(y(p)).
-72*p
Let n(p) = 3*p. Let t(r) be the third derivative of 0 + 0*r**3 + 13*r**2 - 1/12*r**5 + 0*r**4 + 0*r. Calculate t(n(k)).
-45*k**2
Let y = 41 + -31. Let q(a) = -7*a + 6*a + y*a. Let m(r) = -1. Let u(c) = -3*c + 1. Let w(b) = -m(b) - u(b). Give w(q(z)).
27*z
Let b(o) = 43*o**2 - 58*o - 60*o + 118*o. Let n(k) = -3*k**2. Calculate n(b(w)).
-5547*w**4
Let k = -21 - -53. Let m(j) = 2*j**2 - k - 27 + 59. Let i(o) = -2*o - 4*o - 15*o. Give m(i(t)).
882*t**2
Suppose v + v = 4*b, -2 = -3*b + v. Let f(i) = -20*i**2 - 12*i**2 + 12*i**b. Let z(g) = 2*g**2. What is z(f(d))?
800*d**4
Let g(f) = f**2. Let h(p) be the first derivative of -466 + 457 + 0*p**2 - p**2. What is h(g(o))?
-2*o**2
Let s(n) = 609*n - 303*n - 321*n. Let r(c) = 5*c**2. What is s(r(x))?
-75*x**2
Let c(p) = -110*p**2 + 22*p. Let i(j) = -28*j**2 + 6*j. Let y(a) = 3*c(a) - 11*i(a). Let l(z) = -z. Give l(y(v)).
22*v**2
Let f(c) = -2*c**2 - 56*c. Let k(r) = -2*r - 3. Give f(k(h)).
-8*h**2 + 88*h + 150
Let q(f) = 12*f**2 + 2*f - 2. Let n(j) = j**2 - j + 1. Let k(v) = 2*n(v) + q(v). Let w(s) = s**2 - 21*s - 2*s**2 + 21*s. Give w(k(t)).
-196*t**4
Let n(i) be the third derivative of 11*i**2 + 0 + 0*i**3 + 0*i - 1/8*i**4. Let s(l) = 2*l**2. What is n(s(x))?
-6*x**2
Let g(t) be the third derivative of -t**8/20160 - t**5/20 + 9*t**2. Let r(a) be the third derivative of g(a). Let m(c) = -4*c. Determine r(m(h)).
-16*h**2
Let o(g) = 2*g**2 - 5*g - 5. Let t = -17 - -27. Let m(f) = f**2 - 2*f - 2. Let d(x) = t*m(x) - 4*o(x). Let r(v) = 15*v. Give r(d(l)).
30*l**2
Let s(a) = -185*a**2. Let i(f) = 1237*f**2. What is i(s(j))?
42336325*j**4
Let v(j) be the third derivative of 0*j**3 + 0*j + 0 - 1/8*j**4 + 12*j**2. Let g(x) = -x. Let c(a) = -7*a. Let n(d) = c(d) - 5*g(d). What is n(v(m))?
6*m
Let x(y) = 2*y + 2. Let a(h) = 0 + 1 + h + 0*h. Let t(f) = a(f) - x(f). Let d(v) = -3*v - 4. Let s(r) = 5*d(r) - 20*t(r). Let m(c) = -5*c. What is s(m(g))?
-25*g
Let b(m) = -3*m**2 - 2*m - 58530. Let k(l) = -3*l**2. Calculate b(k(f)).
-27*f**4 + 6*f**2 - 58530
Let j(x) = 344*x. Let d(s) = 2*s**2 - 56 + 29 + 27. Give j(d(z)).
688*z**2
Let r(f) = f - 1 - 3 + 14 - 6 - 2. Let v(k) = 3*k. Calculate v(r(p)).
3*p + 6
Let l(w) be the second derivative of 0*w**2 + 7/6*w**3 + 0 - 16*w. Let x(u) = 3*u**2. Calculate l(x(o)).
21*o**2
Let f(i) = 2*i**2. Let c(b) be the second derivative of b**6/45 - 53*b**3/6 - 14*b. Let p(x) be the second derivative of c(x). Determine f(p(s)).
128*s**4
Let d(y) = 299*y**2. Let p(b) = -11*b + 7. Determine p(d(j)).
-3289*j**2 + 7
Let u(k) = 13*k**2. Let v(m) = -28*m**2 + 24*m. Let p(g) = -6*g**2 + 5*g. Let a(q) = -24*p(q) + 5*v(q). Determine u(a(h)).
208*h**4
Suppose y - 5*y - 2*r = 30, r = 5*y + 20. Let u(x) = -2*x**2 + 5. Let m(n) = -3*n**2 + 7. Let v(i) = y*m(i) + 7*u(i). Let q(h) = -7*h. Give v(q(w)).
49*w**2
Let g(b) = -20583*b**2. Let j(r) = -4*r. Determine j(g(x)).
82332*x**2
Let w(q) = 5*q**2. Let a(i) be the first derivative of -5 + 0*i + 3/2*i**2. Calculate a(w(v)).
15*v**2
Let s(b) = 6*b. Suppose 5*v - 26 = -0*v - 4*p, 3*p = 12. Let k(i) = -2 + 2 + 0 + v*i**2. What is k(s(o))?
72*o**2
Let g(j) = -j. Let n(l) be the third derivative of -l**7/840 + 11*l**5/60 + 2*l**2. Let c(t) be the thir