 7. Let n(f) = -2*f. Calculate a(n(j)).
18*j + 7
Let v(q) = -2*q. Let r(s) = 13*s. Let b(i) = -532*i. Let t(c) = 6*b(c) + 247*r(c). What is t(v(y))?
-38*y
Let f(u) = -2*u. Let x(o) = -134*o - 32*o + 29*o. Calculate f(x(t)).
274*t
Let w be (-5)/(3 + 28/(-9)). Let f(i) = -22*i - 22*i + w*i. Let n(l) be the third derivative of l**5/20 + l**2. What is f(n(y))?
3*y**2
Suppose 0 = -f - i + 2, -2*i = 2*f + 2*f. Let v be 3/(-6)*f + 0. Let c(s) = 1 - s + 2*s - v. Let t(u) = -u**2. Calculate t(c(h)).
-h**2
Let o(b) = -b - 1. Let q(v) = -7*v - 6. Let i(h) = -6*o(h) + q(h). Let a(k) = -3 - k + 3. Determine a(i(t)).
t
Suppose -8 + 1 = -5*a - l, -3*l = 3*a + 3. Let u(x) = -a*x**2 - 5*x + 6*x - x. Let v(q) = q. Calculate u(v(y)).
-2*y**2
Let y(t) = 142*t**2. Let v(w) = -w. Calculate v(y(o)).
-142*o**2
Let x(k) = -32*k**2. Let d(f) = -2*f + 18. Let j(i) = i - 8. Let b(v) = 4*d(v) + 9*j(v). What is b(x(w))?
-32*w**2
Let g(y) = -y. Let f(s) = -4*s. Let r(p) = -f(p) + 6*g(p). Let n(v) = -17*v. What is r(n(t))?
34*t
Let t(a) be the second derivative of -a**3/6 + 8*a. Let j(z) = -z**2. Calculate j(t(o)).
-o**2
Let q(i) = -23*i**2. Let n(l) = -3*l. What is q(n(a))?
-207*a**2
Let w(o) = -34*o**2. Let t(z) = 9*z - 12*z + 4*z. Determine w(t(f)).
-34*f**2
Let c(n) = 3*n. Let m(p) = -p + 11. Let k be m(8). Suppose 2 - 11 = -k*d - v, -4*v = 0. Let y(h) = h - 7*h + d*h + 2*h. Determine c(y(t)).
-3*t
Let b(q) = q**2. Let y(f) = f**2. Let i(a) = -b(a) + 2*y(a). Let r(j) = -j**2. Let p(g) = -8*g + 8*g - 3*g**2. Let s(k) = -p(k) + 2*r(k). What is i(s(m))?
m**4
Let b(i) be the second derivative of -2*i**4/3 + 13*i. Let v(a) = 2*a**2. Calculate b(v(k)).
-32*k**4
Let f(c) = 6*c**2. Let g(i) = -i - 2*i + 2*i. Give f(g(h)).
6*h**2
Let x(l) be the second derivative of 7*l**4/12 - l. Let n(d) = 2 - 2 - 33*d**2 + 34*d**2. What is x(n(z))?
7*z**4
Let m(u) = -9102*u - 2. Let h(i) = -2*i**2. Determine h(m(q)).
-165692808*q**2 - 72816*q - 8
Let i(a) = -a**2. Let j(c) = 3 - 13*c**2 + 9*c**2 - 3. Give i(j(h)).
-16*h**4
Let g(x) = 2 - 2 - x. Suppose 8*u = 4*u + 96. Let s(q) = 20*q + u*q - 43*q. What is g(s(v))?
-v
Let i(s) be the second derivative of -s**6/360 - s**3/3 + s. Let b(x) be the second derivative of i(x). Let g(u) = u**2 - 2*u**2 - u**2. Calculate b(g(w)).
-4*w**4
Let w(b) = 9*b**2. Let d(y) = -66*y - 36. Let n(g) = -2*g - 1. Let p(x) = d(x) - 36*n(x). Determine p(w(h)).
54*h**2
Let g(s) = 3*s**2 - 2*s. Let p(x) = -4*x. What is p(g(r))?
-12*r**2 + 8*r
Let s(i) = -i + 3*i + 0*i. Let d(l) = 9*l**2. Determine s(d(v)).
18*v**2
Let x(u) = -2*u. Let o(p) = -2*p. Let d(w) = w**3 - w**2 - 2*w + 2. Let z be d(2). Let q(v) = z*o(v) - 3*x(v). Let m(r) = 2*r. Determine q(m(n)).
4*n
Let l(v) = v**2. Let n(a) = 551*a. Give n(l(y)).
551*y**2
Let d(i) = 12*i**2 - i. Let l(v) be the first derivative of v**2 - 33. Give l(d(r)).
24*r**2 - 2*r
Let h(b) = 97*b. Let z(r) = -2*r**2. Determine h(z(j)).
-194*j**2
Let s(b) = b. Let k(g) = 29 + 3*g + g - 9. Suppose -5*r + 10 = 0, -2*r = -2*o - 64 + 20. Let t(u) = 1. Let f(d) = o*t(d) + k(d). Give s(f(j)).
4*j
Let g(n) = 94*n**2 - n. Let p(u) = 11*u - 2. What is p(g(j))?
1034*j**2 - 11*j - 2
Let j(l) = -2*l. Let x(q) = 370*q. What is j(x(d))?
-740*d
Let a(l) be the third derivative of l**6/360 + l**4/12 + 7*l**2. Let d(g) be the second derivative of a(g). Let b(r) = r**2. Give b(d(o)).
4*o**2
Let k be 130/(-6) + 1/(-3). Let q be 4/(-12) + k/(-3). Let t(o) = o - 7 + q. Let y(z) = -5*z**2. Determine t(y(v)).
-5*v**2
Let a(k) = -9*k**2 + 45. Let w(n) = -1. Let s(p) = -a(p) - 45*w(p). Let j(i) = 2*i. What is j(s(r))?
18*r**2
Let w(j) = -j + 1. Let k(d) = -6*d + 3. Let t(n) = -k(n) + 3*w(n). Let s(o) = -o. Determine s(t(a)).
-3*a
Suppose 2*q + 18 = -3*a, -3*a = -0*a. Let g(u) = -u**3 - 10*u**2 - 10*u - 7. Let i be g(q). Let v(z) = i*z - z + z. Let b(j) = j. What is v(b(c))?
2*c
Suppose 5*y = -3*m + 6, -2*m = 4*y - 0*y - 4. Let c(h) = h + y*h + 0*h. Let a(f) = -5*f. Give c(a(j)).
-5*j
Let j(w) = 3*w**2. Let s(c) be the third derivative of -c**4/8 - 2*c**2. Calculate j(s(t)).
27*t**2
Let w(t) be the third derivative of -19*t**4/24 + 2*t**2. Let o(m) = -m. Give o(w(x)).
19*x
Let w(t) be the third derivative of t**5/60 - t**2 - 36. Let m(x) be the second derivative of 2*x**3/3 + 2*x. Determine w(m(i)).
16*i**2
Let p(f) = 1 + 3*f**2 - 1. Let l(b) = b - 2. Let k(c) = 8*c - 17. Let y(m) = -6*k(m) + 51*l(m). Give y(p(q)).
9*q**2
Let p = -11 - -9. Let x be (-1)/p*10 + 1. Let s(m) = x*m - 5*m - 3*m. Let c(w) = -2*w**2. Give s(c(t)).
4*t**2
Let d(k) = 237*k**2. Let t(i) = 2*i. What is d(t(x))?
948*x**2
Let k(l) = -3*l**2. Suppose 5*r - 5 - 5 = 0. Let s(o) = -r*o + o + 0*o + 0*o. What is k(s(c))?
-3*c**2
Let l(y) = -5*y. Let g(b) = 15*b**2 + b. Calculate g(l(d)).
375*d**2 - 5*d
Let w(q) = -4*q**2. Let m(s) = 3*s - 4 - 3*s**2 + 6*s**2 + s. Let p(g) = 4*g**2 + 5*g - 5. Let l(u) = 5*m(u) - 4*p(u). What is w(l(f))?
-4*f**4
Let p(l) = -174*l. Let t(k) = -k**2. Give t(p(f)).
-30276*f**2
Let x(f) be the first derivative of 2*f**2 + 3. Let i(w) = -w. Give i(x(p)).
-4*p
Let j(u) be the first derivative of u**3 - 1. Let q = 22 + -19. Let t(h) = -h + 0*h + q*h. Determine j(t(s)).
12*s**2
Let g(p) = -p**2. Let l(w) = 39*w**2 - 3. Determine g(l(y)).
-1521*y**4 + 234*y**2 - 9
Let a(t) = 2*t**2. Let y(m) be the second derivative of -m**5/30 + m**3/2 + m. Let b(k) be the second derivative of y(k). Give b(a(d)).
-8*d**2
Let j = -14 + 30. Let r(w) = -8*w**2 + 25*w**2 - j*w**2. Let q(z) = 18*z. Calculate r(q(t)).
324*t**2
Let s(b) = -2*b. Let q(w) be the third derivative of w**7/5040 - w**5/60 - w**2. Let l(u) be the third derivative of q(u). Determine s(l(j)).
-2*j
Let b(r) = 9*r. Let p(l) = -3*l. Let o(w) = 3*b(w) + 8*p(w). Let m(n) = -4*n + n + 6*n - 2*n. Calculate m(o(a)).
3*a
Let s(p) = -3*p. Let t = 10 + -6. Let c(r) = r + t*r - 2*r - 2*r. Determine s(c(d)).
-3*d
Let t(i) = i**2. Let a(x) = -x**2 + 4*x - 4. Let g(j) = j**2 - 3*j + 3. Let o(n) = 3*a(n) + 4*g(n). Calculate t(o(p)).
p**4
Let p(t) = t. Let d(s) be the second derivative of s**3/6 + 2*s. Let i(h) = 7*d(h) - 5*p(h). Let y(o) = -o**2. What is y(i(f))?
-4*f**2
Let k(l) = -2*l. Suppose -2*d - 2*f = d + 4, -2*f - 2 = 4*d. Let p(v) = -5 - 5*v**d + 2 + 3. Give k(p(c)).
10*c**2
Let x(l) = -13*l. Let q(p) = -2*p**2 + p - 1. Let i(b) = 19*b**2 - 6*b + 6. Let y(n) = i(n) + 6*q(n). What is x(y(v))?
-91*v**2
Let z(c) = 5*c + 77. Let i(k) = -2*k**2. Give z(i(u)).
-10*u**2 + 77
Let k = -5 - -19. Let w(d) = -14 - d + k. Let b(m) = 5*m**2 + 6*m - 6. Let q(t) = t**2 + t - 1. Let y(p) = -b(p) + 6*q(p). Give w(y(g)).
-g**2
Let g(b) = -2*b**2. Let q(d) = d**3 - 7*d**2 + 7. Suppose -z = -5*l + 3, -2*z = -2*l - 7 - 3. Let c be q(z). Let p(f) = -2*f - f + c*f - 3*f. Give g(p(v)).
-2*v**2
Let j(u) = -4*u. Let l(o) be the first derivative of -2 + 0*o**2 + o**2 - 1 - 2*o**2. Calculate l(j(b)).
8*b
Let q(g) = g. Let y(o) = -3*o - 15. Let v(z) = z + 4. Suppose w + 11 = -4. Let c(i) = w*v(i) - 4*y(i). Calculate c(q(r)).
-3*r
Let q(s) = -2*s**2. Let m(l) be the second derivative of -l**4/3 - 3*l. Determine m(q(h)).
-16*h**4
Let l(w) = -16*w. Let q(n) = -7*n**2 + 6. Suppose -12*a = -7*a - 65. Let t(h) = -15*h**2 + 13. Let s(u) = a*q(u) - 6*t(u). Calculate s(l(i)).
-256*i**2
Let p(d) = -6*d**2. Let b(l) = 6*l + 2. What is b(p(t))?
-36*t**2 + 2
Let s(d) = d. Let j(t) be the first derivative of 0*t**3 + 1 + 1/24*t**4 + t**2 + 0*t. Let b(h) be the second derivative of j(h). Give b(s(k)).
k
Let a(c) = 2*c. Let x(y) be the first derivative of -2 - 2 - 2*y**2 + 0 + 0. Give x(a(v)).
-8*v
Let k(n) = 5*n**2. Let i(r) = 194*r - 1. Give k(i(c)).
188180*c**2 - 1940*c + 5
Let m(w) be the second derivative of -w**3/2 - w. Let c(q) be the third derivative of -q**4/4 - 44*q**2. Calculate c(m(x)).
18*x
Let d(p) = 2*p. Let n(q) = -10*q**2 - 7*q - 7. Let b(v) = -3*v**2 - 2*v - 2. Let a(w) = 21*b(w) - 6*n(w). Give a(d(x)).
-12*x**2
Let m(u) = -2*u**2. Let c(r) = r**2 - 14*r. Determine c(m(y)).
4*y**4 + 28*y**2
Let v(c) be the third derivative of -c**5/30 - c**2. Suppose -2*y = 3*u - 8, -4*u - y = 3*y - 16. Let a(f) = f + f - f + u. Determine v(a(r)).
-2*r**2
Let u(l) = -2*l**2. Let o(i) = -i**2. Let b(x) = 5*x**2 - 5. Let d(r) = -b(r) + 4*o(r). Let j(t) be the first deriva