- 15. Determine x(s(a)).
-301*a - 645
Let v(t) = 2*t. Let d(h) = h**2 - 30083*h + 1. Calculate v(d(x)).
2*x**2 - 60166*x + 2
Let t(i) be the first derivative of -i**2/2 + 21*i - 153. Let g(z) = 2*z. Determine t(g(b)).
-2*b + 21
Let f(u) = -135*u. Let w(y) = 155*y. Calculate f(w(r)).
-20925*r
Let h(i) be the second derivative of i**4/12 + 42*i. Let s(k) = 13*k. Determine h(s(f)).
169*f**2
Let h(r) = -9*r - 4. Let l be h(-1). Let a(y) = -3*y - l*y + 4*y + 5*y. Let q(w) = -14*w**2. Give a(q(d)).
-14*d**2
Let v(g) = 3*g - 1564. Let j(a) = -2*a. Give j(v(l)).
-6*l + 3128
Let r(y) = 2*y**2 + 2251 - 2251. Let u(p) = 4*p - 22. Give u(r(h)).
8*h**2 - 22
Let o = 86 - 81. Let v(m) = 3 + m**2 + 2 - o*m**2 - 11. Let u(r) = r. What is v(u(t))?
-4*t**2 - 6
Suppose 4*d - 5 = 3*d. Let a(f) = 3*f - 5. Let g(t) = -2*t + 3. Let s be (-2)/(-5) - 13/(-5). Let x(j) = d*g(j) + s*a(j). Let h(z) = -z. What is x(h(i))?
i
Let s(x) = 2*x. Let f(h) = 2*h**2 - h - 1. Let d(z) = -459*z**2 + 306*z + 306. Let p(g) = d(g) + 306*f(g). Calculate p(s(q)).
612*q**2
Let x(i) = 7*i**2. Let u(h) = 171275*h + 1. Calculate u(x(f)).
1198925*f**2 + 1
Let w(x) = 62*x**2 + 0 + 0 - 53*x**2 + 367*x**2. Let d(f) = f**2. Give w(d(m)).
376*m**4
Let s(n) = -9*n**2. Let t(q) = 1279*q**2. What is s(t(p))?
-14722569*p**4
Let m(s) = -57*s + 417*s - 331*s. Let o(g) = -5*g + g + 2*g. Give o(m(a)).
-58*a
Let f(a) = 26*a**2 + a - 55*a**2 + 0 + 28*a**2 + 1. Let c(b) = 10*b**2 + 4*b + 4. Let l(y) = -c(y) + 4*f(y). Let p(w) = -3*w. What is l(p(i))?
-126*i**2
Let m(c) = 2*c**2 + 0*c**2 + 4*c**2. Let s(f) be the third derivative of f**4/12 + 6*f**2 - 5*f. Calculate m(s(b)).
24*b**2
Let p(c) = -8*c. Let v(d) = 17*d - 2 + 2 - 42*d + 11*d. Give p(v(o)).
112*o
Let m(t) be the first derivative of t**6/120 + 8*t**3/3 + 18. Let s(w) be the third derivative of m(w). Let q(f) = -25*f. What is q(s(d))?
-75*d**2
Let a(u) = -1606*u. Let z(b) = -14*b**2 - 2. Calculate a(z(q)).
22484*q**2 + 3212
Let o(d) = -9*d**2 + 7*d. Let b(f) = 5*f**2 - 4*f. Let v(q) = 7*b(q) + 4*o(q). Let m(n) = -6 + 6 + 35*n**2. Determine m(v(z)).
35*z**4
Let i(b) = 61*b + 1. Let u(q) be the second derivative of -q**4/12 - 229*q - 2. Calculate i(u(y)).
-61*y**2 + 1
Let h(k) = 6*k. Let t(w) = 133*w - 191. Give h(t(b)).
798*b - 1146
Let c(o) be the second derivative of 0*o**3 - 31*o - 1/3*o**4 + 0*o**2 + 0. Let p(f) = 2*f**2. Calculate c(p(j)).
-16*j**4
Let z(q) = -22*q. Let x(b) = 2*b**2 + 10*b**2 + 14*b**2 - 13*b**2. Give x(z(i)).
6292*i**2
Let y be (-3 + ((-45)/(-6))/(-5))*-2. Let i(m) = -y*m + m - 2*m + 7*m. Let o(f) = 8*f. Determine o(i(d)).
-24*d
Let u(g) = 6*g. Let b(k) = -2118*k + 4. Give b(u(a)).
-12708*a + 4
Let s(f) = -11*f**2. Let o(v) = 48*v - 134*v + 44*v + 44*v + 2. Calculate o(s(d)).
-22*d**2 + 2
Let a(v) = 1 - 762*v**2 - 1 + 761*v**2. Suppose -2 = 5*x - 2*s - 2*s, 0 = x + 3*s - 11. Let r(l) = 0*l + 0*l**2 + 0*l - l**x. What is a(r(m))?
-m**4
Let w(t) be the third derivative of -11*t**5/12 - t**2. Let x(g) = 107*g + 110*g - 215*g. Calculate w(x(l)).
-220*l**2
Let d(r) = -r**2. Let l(y) = -3 - 365*y + 3 + 359*y. Let b(w) = 6*w. Let n(k) = 6*b(k) + 7*l(k). Give d(n(s)).
-36*s**2
Let f(l) = 2*l**2 + 7. Let y(m) = -90*m + 38*m + 45*m. Determine f(y(g)).
98*g**2 + 7
Let z(x) = -34*x. Let o(k) be the first derivative of k**4/12 + 19*k**2/2 - 5. Let m(t) be the second derivative of o(t). Determine z(m(q)).
-68*q
Let m(o) = -7*o**2. Let u(w) = -w**2 - w. Let r(l) = -3*l**2 - 6*l + 0*l**2 + 5*l. Suppose s = 5*s - 4. Let i(d) = s*u(d) - r(d). Give i(m(q)).
98*q**4
Suppose 4*m = 14*m - 20. Let c(b) = -9*b - 5*b - m*b**2 + 14*b. Let d(g) = -2*g + 2. Let i(k) = -3*k + 5. Let l(h) = 5*d(h) - 2*i(h). Calculate c(l(p)).
-32*p**2
Let p(o) = o. Let z(w) = -3*w + 2605. Give p(z(a)).
-3*a + 2605
Let l(n) = 68*n**2. Let g(o) be the second derivative of -o**5/120 - o**3/3 - 3*o**2/2 + 27*o. Let i(f) be the second derivative of g(f). Calculate i(l(r)).
-68*r**2
Let g(y) = 3*y**2. Let w(d) be the first derivative of d**3 + 39. Give g(w(t)).
27*t**4
Let k(d) = d**2 + 3*d**2 + d**2. Let o(q) = 36*q + 27*q + 4*q**2 + 13*q - 76*q. Determine o(k(g)).
100*g**4
Let l = -12 - -14. Let i(h) = 0*h**2 - h**l + h**2 + 2*h**2. Let j(t) = -8*t. Calculate j(i(z)).
-16*z**2
Let a(x) = -2*x**2. Suppose k + k = -c + 12, 5*k + 4*c - 24 = 0. Let n(q) = -11*q**2 + 17*q - 9*q - k*q. Calculate a(n(g)).
-242*g**4
Let i(g) be the second derivative of g**3/6 - g. Let t(y) = -16*y. Let p(j) = -3*j**2 - 528*j. Let o(l) = 2*p(l) - 66*t(l). Calculate i(o(r)).
-6*r**2
Let c(o) = 0*o - 5*o + o. Let f(m) = m**3 - 6*m**2 - 6*m - 2. Let l be f(7). Let w(g) = -l*g - 4*g + 6*g. What is c(w(a))?
12*a
Let m(s) = -45*s**2. Let h(b) = -b + 75 + 73 - 148. Give m(h(y)).
-45*y**2
Let q be -2 - -3 - (-2 + (-1 - 2)). Let n(d) = -2*d**2 + 3*d. Let k(c) = -11*c**2 + 17*c. Let y(o) = q*k(o) - 34*n(o). Let j(a) = -16*a**2. Determine y(j(i)).
512*i**4
Let u(s) = 452821*s + 1. Let i(q) = 2*q. Calculate u(i(n)).
905642*n + 1
Let q(v) = 15*v**2 + 1. Let u(c) = 4*c**2 + 2. Let b(d) = 19*d**2 + 9. Let z(h) = 2*b(h) - 9*u(h). Determine q(z(i)).
60*i**4 + 1
Let p(y) be the first derivative of -9*y**2/2 + 1. Let h be (-2)/2*(9 - 17). Let d(j) = j - 3 - h + 11. What is d(p(k))?
-9*k
Let q(g) be the second derivative of 217*g**3/6 + 4*g + 2. Let w(j) = 2*j**2. What is w(q(z))?
94178*z**2
Let q(z) = 8*z**2. Suppose 4*h = -2*h + 24. Let v(c) = 5 - 2*c + 0*c - 1 - h*c. Let b(a) = 5*a - 3. Let g(j) = 4*b(j) + 3*v(j). Calculate q(g(s)).
32*s**2
Let b(i) = 12*i**2 + 10. Suppose -5*r = -10 - 40. Let n(x) = 4*x**2 + 3. Let z(h) = r*n(h) - 3*b(h). Let w(m) = -m. Give z(w(o)).
4*o**2
Let w(a) = -5*a + 8. Let r(v) = 3*v - 5. Let n = 27 + -22. Let p(t) = n*w(t) + 8*r(t). Let i(f) = -2*f - 3*f - f. Determine p(i(g)).
6*g
Let b(c) = 2*c**2 + 4*c - 4. Let d(u) = -u**2 - u + 1. Let r(m) = b(m) + 4*d(m). Let k(w) = 83*w. Give k(r(h)).
-166*h**2
Let x(v) = -87*v**2. Let q(l) = -56*l**2 - 34*l. Let n(k) = 5*k**2 + 3*k. Let u(i) = -68*n(i) - 6*q(i). Determine x(u(y)).
-1392*y**4
Let s(a) = -4361*a**2. Let b(h) = -226*h**2. Determine s(b(o)).
-222742436*o**4
Suppose 3*y = 13 + 17. Suppose 0 = 5*h - y, -2*a + 4*h - 10 = -3*a. Let l(s) = 3*s**2 - 4*s**a + 0*s**2. Let g(b) = 4*b. Give l(g(n)).
-16*n**2
Let k(o) = 23*o**2. Let r(q) = 34*q + 35. What is r(k(l))?
782*l**2 + 35
Let u(y) = 201247*y + 1. Let t(v) = 2*v. Calculate t(u(f)).
402494*f + 2
Let r(i) = 31*i. Let p(t) be the second derivative of -2*t**4/3 - 285*t. Give r(p(l)).
-248*l**2
Let p(k) be the first derivative of -2*k**3/3 - 172. Let t(w) = -w**2 - 554. What is p(t(f))?
-2*f**4 - 2216*f**2 - 613832
Let f(u) = 49987*u - 1. Let r(a) = 2*a. What is f(r(l))?
99974*l - 1
Let d(f) = -7*f**2. Let h(v) = v - 721. What is d(h(u))?
-7*u**2 + 10094*u - 3638887
Let b(n) = -163706*n**2. Let u(w) = -15*w**2. What is u(b(y))?
-401994816540*y**4
Let v(t) = -1398*t + 8 + 2825*t - 1406*t. Let f(q) = -q**2. Calculate v(f(h)).
-21*h**2 + 8
Let f(u) = 46*u. Let t(g) = 328*g**2 - 2*g - 10. Give t(f(d)).
694048*d**2 - 92*d - 10
Let y(c) = 3*c. Let i(j) = -51*j. Let b(p) = -i(p) - 6*y(p). Let d(k) = -2*k**2. Determine b(d(a)).
-66*a**2
Suppose 4*v - 9 = v. Suppose -v*a = 3 - 9. Let u(h) = 3*h - 5*h - h + a*h. Let m(i) = -3*i. Determine m(u(c)).
3*c
Let p(o) = o. Suppose 3*k = u - 11, -4*u - 5*k - 4 - 3 = 0. Let b(n) = n**u + n**2 - 5*n**2 - 3*n**2. Determine b(p(f)).
-6*f**2
Let u(p) = -5*p + 0*p + 11*p. Let d(h) = 7*h. Calculate u(d(q)).
42*q
Let f(q) be the first derivative of 28*q**3 - 29. Let t(r) = 4*r**2. Give t(f(i)).
28224*i**4
Let k(w) = 36*w**2. Let x(p) = 4*p + 342 - 342. Determine k(x(t)).
576*t**2
Let y(b) = -b**2. Let f(s) = 25*s**2 - 2*s + 2. Let c(o) = -2576*o**2 + 207*o - 207. Let i(w) = 2*c(w) + 207*f(w). What is i(y(m))?
23*m**4
Suppose -3*n + 5 = -c, c + n = -3*c + 19. Let v(l) = -8*l**2 + c*l**2 + 2*l**2. Let y(a) = 54*a**2. Determine y(v(g)).
216*g**4
Let r(h) = -3*h - 5. Let w(t) = t**3 - 4*t**2 - t + 4. Let a be w(3). Let m(j) = -5*j - 7 - 12 + 11. Let z(i) = a*r(i) + 5*m(i). Let k(c) = -c. Give z(k(s)).
s
Let t(u) = 26*u. Let q(j) = 14292*j. Calculate q(t(h)).
371592*h
Let k(p) = -20*p. Let g(c) = 3*c**2 - 12*c**2 + 4*c**2 - 3*c**2. What is g(k(u))?
-3200*u**2
Let j(p) be th