 1 + -1. Let h(m) be the second derivative of 0*m**3 - 4*m + x + 0*m**2 + 1/12*m**4. Determine h(p(g)).
81*g**4
Let k(f) = -f. Let d(q) be the third derivative of q**6/60 + 3*q**3 + 16*q**2. Let r(c) be the first derivative of d(c). What is k(r(z))?
-6*z**2
Let n(b) = -2*b**2. Let p be (-19)/(-4)*(-12)/(-3). Let j(m) = -p*m + 44 - 18 - 26. What is n(j(g))?
-722*g**2
Let c(z) = 7*z. Let j(m) = -10*m - 884 + 884. Determine c(j(x)).
-70*x
Let x(q) = -3*q. Let y(h) = h**3 - 7*h**2 - h + 9. Let p be y(7). Let b(m) = -178*m + 178*m + 3*m**p - 4*m**2. What is b(x(g))?
-9*g**2
Let f(p) be the second derivative of p**3/6 + 21*p. Let y(s) = 14*s**2 + 14*s**2 - 35*s**2. Determine y(f(k)).
-7*k**2
Let o(h) = -50092*h. Let y(q) = -19*q. Give o(y(j)).
951748*j
Let c(i) be the third derivative of -i**4/12 + i**2. Let k(n) be the first derivative of 4*n**2 - n - 264. Determine c(k(w)).
-16*w + 2
Let k(h) = -4*h - 1. Let n(c) = 34*c + 2. Let a(x) = 2*k(x) + n(x). Let d(u) = -16*u**2 + 3*u. What is d(a(g))?
-10816*g**2 + 78*g
Let p(w) be the first derivative of -2*w**3/3 - 703. Let m(o) = -o. Let k(b) = -15*b. Let s(j) = k(j) - 2*m(j). Calculate s(p(z)).
26*z**2
Let i(s) = -2*s**2. Let w(g) = 686*g**2 - 154. Let o(d) = 18*d**2 - 4. Let y(k) = -77*o(k) + 2*w(k). What is y(i(b))?
-56*b**4
Let w(z) be the first derivative of -1/2*z**2 + 0*z + 2. Let n(f) be the first derivative of f**3 - 141. Calculate n(w(o)).
3*o**2
Let r(n) = n - 4 + 7*n - 3 + 3. Let q(c) = 8*c - 5. Let w(s) = 4*q(s) - 5*r(s). Let g(l) = -2*l. What is g(w(f))?
16*f
Let m(i) be the first derivative of 7*i**2 - 149. Let p(j) = 6*j**2. What is p(m(f))?
1176*f**2
Let h(z) = 8*z. Let d(y) = -y**2 + 3. Suppose -5 = -3*m + 8*m. Let b(g) = 1. Let j(q) = m*d(q) + 3*b(q). Determine j(h(u)).
64*u**2
Let y(z) = -7*z**2. Let j(a) be the third derivative of 7*a**4/8 - 35*a**2 - 2*a. Determine j(y(u)).
-147*u**2
Let z(a) = -186*a - 1. Let n(r) = -3*r. Calculate n(z(k)).
558*k + 3
Let f(p) = -p - 1. Let i(l) = 1. Let n(d) = 2*f(d) + 2*i(d). Let y(t) = -t - 24. Determine y(n(c)).
2*c - 24
Suppose -3*h = -5*p - 19, 3*h + 3*p + 0*p + 21 = 0. Let x be h - (-4 + -4 + -5). Let d(j) = x - 5*j - 6 - 5. Let w(g) = -2*g**2. Determine w(d(z)).
-50*z**2
Let n(o) be the second derivative of 2*o**3/3 - 82*o. Let j(z) = 14*z**2. What is j(n(f))?
224*f**2
Suppose 0 = -5*t - 3*n + 2*n + 10, 3*t - 3*n - 6 = 0. Suppose 0 = -u - 0 + 2. Let r(j) = 5 - 3 - t + u*j. Let x(p) = -18*p. Determine r(x(q)).
-36*q
Let l(v) be the second derivative of 0*v**2 - 7*v + 0 + 1/3*v**3. Let j(d) = 7*d**2. Give j(l(g)).
28*g**2
Let v(s) = 2*s. Let c(r) = -597*r**2 + 637*r. Determine v(c(q)).
-1194*q**2 + 1274*q
Let d(h) be the second derivative of 0*h**2 + 0*h**3 - 1/12*h**4 + 0 + 13*h. Let x(r) = 9*r. Determine x(d(s)).
-9*s**2
Let j(l) = -77 + 194 - 117 + l**2. Let y(t) = t + 66. What is y(j(m))?
m**2 + 66
Let h(r) = r. Suppose 0 = -3*w + 8*w - 20. Suppose 2 = -q + w. Let m(g) = -5*g**q - 5*g**2 + 8*g**2 + 13*g**2. Calculate h(m(y)).
11*y**2
Let g(y) = 4*y**2. Suppose -11*o + 4 = -10*o. Let z(h) = 4 + 2*h**2 + 0 - o. Determine z(g(n)).
32*n**4
Let n(x) = -59*x. Let i(g) = -13*g + 15*g - g. Determine i(n(j)).
-59*j
Let m(i) = -2*i**2 - 3*i. Let n(j) = 15*j - 3. Give m(n(z)).
-450*z**2 + 135*z - 9
Let c(n) = -5*n + 10*n - 2*n + 7*n. Let s(b) = 30*b**2. What is s(c(r))?
3000*r**2
Let c(l) = l**2 - 3*l. Let d(p) = 7*p**2 - 9*p. Let h(w) = 3*c(w) - d(w). Let k(o) = 3*o**2 + 10*o**2 - o**2. Give k(h(i)).
192*i**4
Let c(h) = 4*h**2. Let d(s) be the third derivative of -7*s**6/720 + 29*s**4/24 - 17*s**2. Let p(b) be the second derivative of d(b). Give c(p(w)).
196*w**2
Let f = 21 + -37. Let c = f - -21. Let i(k) = 6*k - 9*k + c*k. Let d(y) = 8*y. Calculate d(i(t)).
16*t
Let l(g) = 93*g**2. Let z(a) = 5011*a**2. What is z(l(x))?
43340139*x**4
Let m(f) be the second derivative of f**7/1260 - f**4/3 + 10*f. Let i(q) be the third derivative of m(q). Let d(x) = -7*x. What is d(i(l))?
-14*l**2
Let s(j) be the third derivative of 0*j**4 + j**2 + 0*j**3 + 0*j + 0 - 1/60*j**5. Let n(c) = 5*c. What is s(n(o))?
-25*o**2
Let j(i) = -7*i**2 + 4. Let v(f) = -4*f + 2. Let a(g) = -3*g + 1. Let o(b) = -2*a(b) + v(b). Determine o(j(r)).
-14*r**2 + 8
Let w(z) = -2*z. Let c be 70/8 - 1/(-4). Let a(r) = 7*r + c*r + 0*r - 5*r. What is w(a(n))?
-22*n
Let a(r) = r**2 + 100*r. Let m(v) = -6*v**2 + 15*v + 5. Let f(z) = 4*z**2 - 9*z - 3. Let n(i) = 5*f(i) + 3*m(i). Calculate n(a(c)).
2*c**4 + 400*c**3 + 20000*c**2
Let l(m) = -3*m + 15. Let b be l(7). Let y(q) = 2*q - 3. Let o(f) = -3*f + 5. Let c(d) = b*o(d) - 10*y(d). Let g(p) = -p. Give c(g(r)).
2*r
Let g(p) = 3*p. Suppose -3*v + 11 = 2*r, -4*r = 2*v + 3*v - 19. Let m(y) = -2*y - 2*y + v*y. Calculate m(g(w)).
-3*w
Let p(z) be the first derivative of 2*z**3/3 + 117. Let k(n) = 7*n**2 + 2*n. What is p(k(d))?
98*d**4 + 56*d**3 + 8*d**2
Let x(j) = j**2 + 3*j**2 - 2*j**2. Let h(t) = 85 - 85 - 12*t**2. Calculate x(h(r)).
288*r**4
Let n(z) = -700*z. Let k(y) = -716*y**2. Determine k(n(p)).
-350840000*p**2
Let k(a) = 15*a**2 - 1. Let i(u) = 0*u - u + 0*u - u. Determine i(k(l)).
-30*l**2 + 2
Let u(a) = 4*a. Let x(t) = -2*t. Let f(b) = -13*b. Let m(d) = f(d) - 5*x(d). Give u(m(j)).
-12*j
Let g(l) = 5*l - 2. Let a(h) = -3*h - 2. Let o(z) = -a(z) + g(z). Suppose 4*p = 2*m, m - 3*p - 1 + 2 = 0. Let t(f) = m*f - 3 + 3. Give t(o(j)).
16*j
Let f(d) = -4*d - 4. Let x(t) = -13*t - 12. Let u(m) = -11*f(m) + 4*x(m). Let s(h) = -2*h**2. Calculate u(s(w)).
16*w**2 - 4
Let f(q) = 5*q. Let y(h) = 1631*h - 17. Calculate f(y(w)).
8155*w - 85
Let t(l) = -15*l. Let o(q) = -28314*q. What is o(t(d))?
424710*d
Let v(y) be the third derivative of y**5/10 - 12*y**2 + 5*y. Let o(m) = -18*m - 1. Give v(o(s)).
1944*s**2 + 216*s + 6
Suppose 0*a = -2*a + 8. Let c(x) = -4*x**2 + 4*x**2 + a*x**2. Let q(b) = -3867 - 2*b**2 + 3867. Calculate c(q(o)).
16*o**4
Let y(g) = 7*g**2. Let w(j) = -105*j**2 - 14. Calculate y(w(i)).
77175*i**4 + 20580*i**2 + 1372
Let b(w) = -2*w**2. Let g(r) = -144*r - 410. Calculate g(b(l)).
288*l**2 - 410
Let p(r) = 326*r**2. Let u(o) = o + 7. Let w(s) = -4*s - 14. Let n(y) = 2*u(y) + w(y). Give p(n(t)).
1304*t**2
Let y(d) = 7*d. Let u = 17 - 15. Let c be ((-1)/1)/(u/(-4)). Let s(x) = -x**2 + x**c + 0*x**2 + 2*x**2. What is s(y(w))?
98*w**2
Let f(z) = 6*z. Let d(o) = -965*o**2 + 55*o - 110. Let i(b) = -69*b**2 + 4*b - 8. Let s(m) = 4*d(m) - 55*i(m). Give f(s(p)).
-390*p**2
Let p = 34 + -23. Let m(i) = -11*i - 7*i + 31*i - p*i. Let h(g) = -5*g**2 - 3*g. Let l(f) = -14*f**2 - 8*f. Let b(t) = -8*h(t) + 3*l(t). Determine b(m(r)).
-8*r**2
Let h(t) be the second derivative of t**3/6 + 21*t**2 + 856*t. Let u(v) = -10*v**2. Give h(u(p)).
-10*p**2 + 42
Let p(g) = 183*g**2. Let u(z) = 450*z. What is p(u(l))?
37057500*l**2
Let b(c) = -c. Let o(v) = -6*v + 9547. What is o(b(z))?
6*z + 9547
Let k(m) = -m**3 - 4*m**2 - 4*m. Let n be k(-3). Let o(q) = 3 + q - n - 5*q. Let w(z) = z + 1. Let u(y) = 4*y + 6. Let j(x) = u(x) - 6*w(x). Determine o(j(c)).
8*c
Suppose k + 9 = 19. Let j(w) = 7*w + 5*w - k*w. Let s(l) = -9*l**2 + 5*l + 5. Let m(d) = 44*d**2 - 24*d - 24. Let z(c) = -5*m(c) - 24*s(c). Calculate z(j(o)).
-16*o**2
Let y(v) = -7*v**2. Let o(r) = -2*r + 1. Let b(p) = -6*p**2 - 4*p + 2. Let f(l) = 2*b(l) - 4*o(l). Give f(y(x)).
-588*x**4
Let g(w) = 4*w**2. Let d(r) = -4*r + 3. Let y(j) = j**2 - 14*j + 16. Let s be y(13). Let p(t) = -7*t + 7. Let z(k) = s*p(k) - 7*d(k). Give z(g(q)).
28*q**2
Suppose -3*q + 33 = 2*k, -5*k + 0*q = -4*q - 140. Let o(l) = 17*l - k*l + 6*l. Let z(y) = 22*y. Calculate o(z(b)).
-22*b
Let k(r) = 26966*r. Let h(m) = 55*m**2. What is k(h(p))?
1483130*p**2
Let a(q) = 138*q**2. Let h(y) = -4*y**2 + 2*y**2 - 161 + 161. Calculate h(a(l)).
-38088*l**4
Let j(h) be the third derivative of -h**5/60 - h**4/24 + h**2. Let d(q) = 38*q + 28*q**2 - 38*q - 29*q**2. What is d(j(g))?
-g**4 - 2*g**3 - g**2
Let b(t) = -7*t. Suppose q + q - 3*n + 3 = 0, -4*q = -4*n. Let w be -3 - (3 + -13)/2. Let x(f) = -q*f**w - 37 + 37. Calculate x(b(m)).
-147*m**2
Let g(j) = 2*j**2. Let q(w) be the third derivative of -w**7/504 + w**5/6 - 10*w**2. Let n(k) be the third derivative of q(k). Calculate n(g(b)).
-20*b**2
Let t(w) = -w**2 + w + 7084. Let d(a) = -11*a. 