w - 18
Let t(s) be the first derivative of -s**3 - 1. Let a(u) be the second derivative of -u**3/2 - 4*u. Determine t(a(q)).
-27*q**2
Let f(t) = t. Let j = -111 - -111. Let y(w) be the first derivative of j*w - 1/3*w**3 + 0*w**2 - 2. Determine y(f(b)).
-b**2
Let n(l) = 2*l**2 + 4. Let u(c) = -3*c**2 - 7. Let m(i) = -7*n(i) - 4*u(i). Let w(s) be the third derivative of -s**5/20 - 3*s**2. Determine m(w(j)).
-18*j**4
Let v(c) = -296*c. Let b(z) = -z**2. Give v(b(r)).
296*r**2
Let j(l) = 2*l**2. Let v(y) = -y**3 + 2*y**2. Suppose -5*w = -10*w + 10. Let f be v(w). Let p(u) = f*u + 0*u - 3*u**2 + 13*u**2. What is j(p(n))?
200*n**4
Let f(b) = -12*b. Let n(m) = -407*m**2. What is f(n(i))?
4884*i**2
Let g(d) = 50*d. Let m(n) = 67*n**2. Give m(g(o)).
167500*o**2
Let w(j) = -6*j. Let r(k) = 5*k. Let d(o) = -5*r(o) - 4*w(o). Let i(s) = -15*s. Determine d(i(y)).
15*y
Let u(w) be the second derivative of w**3/2 + 2*w. Suppose -z = -4*z - 15. Let n(x) = x - 4. Let y(i) = i - 5. Let g(o) = z*n(o) + 4*y(o). Calculate u(g(c)).
-3*c
Let y(z) be the third derivative of -z**4/6 + z**2. Let t(u) = u - 3*u + 3*u. What is t(y(w))?
-4*w
Let p(s) be the second derivative of s**3/2 + 7*s. Let f(o) = -4*o. Calculate f(p(b)).
-12*b
Let d(c) = 2*c. Let q(u) be the second derivative of u**3/3 + 9*u. What is q(d(f))?
4*f
Let a(c) = 6*c + 7 - 3*c - 7. Suppose -3*s + s = 0. Let u(j) = j + j + j + s. Calculate a(u(i)).
9*i
Let l(g) = 1. Let j(p) = 2*p + 2. Let n(q) = -q**2 + 5*q + 2. Let z be n(4). Let t = z + -8. Let h(x) = t*l(x) + j(x). Let m(d) = -2*d**2. Give m(h(s)).
-8*s**2
Let p(w) = -44*w - 2. Let o(v) = v. Determine o(p(f)).
-44*f - 2
Let a(s) = 25*s**2. Let y(u) = 145*u**2 + 1. Determine a(y(n)).
525625*n**4 + 7250*n**2 + 25
Let z(j) = 858*j**2. Let r(h) = -7*h. Determine r(z(s)).
-6006*s**2
Let a(j) = -j. Let i(r) = -r. Let b(s) = s**2 + s - 4. Let l(x) = 3. Let g(o) = -3*b(o) - 4*l(o). Let n(m) = g(m) - 3*i(m). Give a(n(k)).
3*k**2
Let s(t) = t. Let b(f) = -5*f + 5*f - 3*f. Give b(s(r)).
-3*r
Let d(v) be the first derivative of 2*v**2 + 4. Let u(g) = 9*g. Let t(k) = -5*d(k) + 2*u(k). Let j(o) = 4*o + 3*o - 5*o. Calculate t(j(y)).
-4*y
Let s(j) = j**2 + 3. Let t(x) = 2*x**2 + 4. Let l(h) = 4*s(h) - 3*t(h). Let m(b) = -4*b + 3*b + 3*b - 6*b. Give l(m(w)).
-32*w**2
Suppose 0 = b + 2*f + 2*f + 22, -2*b + 4*f + 4 = 0. Let v = b + 4. Let k(t) = t. Let w(u) = u. Let r(i) = v*w(i) + 3*k(i). Let x(q) = 2*q. Determine r(x(s)).
2*s
Let r(u) = -3*u**2. Let y(a) = -1476*a**2. Calculate r(y(q)).
-6535728*q**4
Let q(w) = -7*w**2 + w - 103. Let z(o) = -2*o**2. Give q(z(n)).
-28*n**4 - 2*n**2 - 103
Let p(l) = -2*l. Let a(y) be the third derivative of y**8/5040 + y**5/15 - 4*y**2. Let j(k) be the third derivative of a(k). What is j(p(n))?
16*n**2
Let d(p) = 1789*p**2. Let a(g) = -2*g**2. Calculate d(a(l)).
7156*l**4
Let p(v) = -5*v - 1. Let j(a) = 8 + 8 - 15. Let i(d) = -j(d) - p(d). Let r(n) = -n**2. What is r(i(u))?
-25*u**2
Let d(c) = 699*c**2. Let p(n) = 4*n. Calculate p(d(o)).
2796*o**2
Let z(s) = 2*s. Let a(w) be the first derivative of 0*w**2 + 0*w - 7/3*w**3 - 1. Determine a(z(l)).
-28*l**2
Let c(g) = g + 6. Let l(q) = q + 5. Let v(r) = -5*c(r) + 6*l(r). Let i(j) = 12*j**2. Determine i(v(n)).
12*n**2
Let l(z) = z - 3*z - 5*z + 5*z. Let c(h) = -7*h. Calculate c(l(w)).
14*w
Let t(s) = -2269*s + 8. Let k(p) = p. Determine t(k(b)).
-2269*b + 8
Let a(j) = -5*j**2. Let o = -13 - -20. Let b(f) = 1 + 2*f - o + 6. Give a(b(g)).
-20*g**2
Let v(i) = i. Let j(n) = -15*n**2. Let w(q) = -120*q**2. Let s(g) = -25*j(g) + 3*w(g). Give s(v(o)).
15*o**2
Let n(p) be the third derivative of p**5/30 - 3*p**2. Let o(m) = -6*m - 4. Let y(b) = b + 1. Let x(l) = -o(l) - 4*y(l). Give n(x(z)).
8*z**2
Let r(h) be the first derivative of h**4/8 + h**2/2 - 1. Let t(j) be the second derivative of r(j). Let i(b) = -b. Determine i(t(v)).
-3*v
Let m(o) = 3*o**2. Suppose -3*w = -7 + 1. Let s = 1 - -1. Let z(g) = w - s - g**2. What is z(m(t))?
-9*t**4
Let g(i) be the third derivative of i**5/60 - 2*i**2. Let v = -3 + 3. Let k(s) = v*s + 0*s - 2*s. Determine g(k(b)).
4*b**2
Let x(n) = -29*n. Let j(y) = 3*y**2 - 7*y + 7. Let z(a) = -a**2 + 2*a - 2. Let c(p) = 2*j(p) + 7*z(p). Calculate x(c(f)).
29*f**2
Let l(f) = -f. Let r(m) be the first derivative of 5/12*m**4 + 2 + 4*m + 0*m**3 + 0*m**2. Let x(c) be the first derivative of r(c). Give x(l(u)).
5*u**2
Let d(z) = -176*z - 99. Let o(i) = -7*i - 4. Let p(a) = 4*d(a) - 99*o(a). Let s(w) = 2*w**2. Calculate s(p(l)).
242*l**2
Let w(r) = -3*r**2. Suppose 2*l - 6 = -0. Let b(u) = u - l*u + 3*u. What is b(w(n))?
-3*n**2
Let o(y) = -4*y**2 - 6*y + 6. Let u(z) = z**2 + z - 1. Let s(j) = -o(j) - 6*u(j). Let g(w) = -3 + 3 + 3*w. Give s(g(x)).
-18*x**2
Let m(z) = z**2 + 2*z - 3. Let v be m(-3). Let h(x) = v - 2*x + 0. Let w(y) = 6*y. Let n(p) = 18*p. Let l(r) = 5*n(r) - 14*w(r). Determine h(l(k)).
-12*k
Let j(m) be the third derivative of 1/60*m**5 + 0 + 0*m**3 + 0*m**4 + 0*m - 3*m**2. Let r(o) = 5*o. Give j(r(f)).
25*f**2
Let p(k) = -3*k + 4. Let d(o) = 10 - 3*o - 1 - 4. Let x = 1 - -3. Let q(l) = x*d(l) - 5*p(l). Let w(h) = 2*h**2. Determine w(q(y)).
18*y**2
Let s(g) = 10*g**2. Let h(x) be the third derivative of -x**5/60 - 4*x**2. Calculate h(s(i)).
-100*i**4
Let o(x) = 41*x**2. Let c(k) = 768*k**2. Determine o(c(b)).
24182784*b**4
Let p(b) = -6*b - 163. Let i(g) = -g. Determine i(p(s)).
6*s + 163
Let t(r) = 2*r**2. Let a(d) = -d + 1. Suppose 4*u - 7 = -3*h, 0*h = 2*h - 2. Let x(k) = 5*k - 4. Let j(z) = u*x(z) + 4*a(z). Give j(t(y)).
2*y**2
Let j(h) = 7*h. Let b(q) = 2*q + 39. Give b(j(g)).
14*g + 39
Suppose 0 = 2*k - 7*k + 20. Let a(s) be the third derivative of 0 + 0*s**3 + 1/20*s**5 - 2*s**2 + 0*s**k + 0*s. Let c(h) = -3*h**2. What is a(c(v))?
27*v**4
Let s(n) = 153*n + 2. Let d(z) = -2*z**2. Give s(d(x)).
-306*x**2 + 2
Let y(c) = c. Let j(g) = g**2 - g + 1. Let m(z) = 16*z**2 - 4*z + 4. Let l(i) = 4*j(i) - m(i). What is y(l(d))?
-12*d**2
Let k(g) = 13*g - 7. Let d(c) = 4*c - 2. Let h(f) = 7*d(f) - 2*k(f). Let p(j) be the first derivative of -9*j**2/2 + 12. Give p(h(r)).
-18*r
Let s(u) = -3*u**2 - 4*u + 4. Let p = 10 - 6. Let o(z) = -4*z**2 - 5*z + 5. Let x(h) = p*o(h) - 5*s(h). Let c(q) = -2*q**2. Calculate c(x(n)).
-2*n**4
Let t(z) be the first derivative of 3*z**3 - 53. Let n be ((-4)/6)/((-2)/12). Let a(g) = -2*g**2 + n*g**2 - 3*g**2. Give a(t(y)).
-81*y**4
Let b(l) be the second derivative of l**4/12 + l. Let m(c) be the first derivative of -4/3*c**3 + 0*c + 0*c**2 + 3. Calculate m(b(y)).
-4*y**4
Let q(h) = -16*h**2. Let x(r) = 22*r**2 + r. Determine x(q(d)).
5632*d**4 - 16*d**2
Let f(a) = 129*a. Let c(v) = 2*v**2. Give c(f(t)).
33282*t**2
Let g(n) = 3*n**2. Let d be (2 + 4)*(-2)/(-3). Let r = 6 - d. Let t(i) = 0*i - r*i + i. What is g(t(v))?
3*v**2
Let i(v) = 3*v**2 - v**2 + 3*v**2 - 2*v**2. Let d(t) = t. What is d(i(o))?
3*o**2
Let y(v) be the second derivative of v**6/20 - v**3/3 - 6*v. Let n(p) be the second derivative of y(p). Let a(r) = -r. Determine a(n(s)).
-18*s**2
Let h(x) = 10*x - 2. Let g(s) = -s + 1. Let v(y) = 2*g(y) + h(y). Let k(o) = o. Let n(q) = -6*k(q) + v(q). Let w(c) = c**2. What is w(n(d))?
4*d**2
Let k(o) = 16*o. Let b(c) = 9*c**2 - 4. Determine b(k(f)).
2304*f**2 - 4
Let f = 43/6 - 7. Let h(j) be the second derivative of 0*j**3 - 2*j + 0 + 0*j**2 + f*j**4. Let w(z) = -2*z. What is w(h(v))?
-4*v**2
Let x(p) = -2*p. Let o(u) = 36*u**2 - 6. Let r(m) = -35*m**2 + 5. Let g(v) = -5*o(v) - 6*r(v). What is x(g(i))?
-60*i**2
Let v(g) = -g**2. Let d be (-4)/18 + (-4)/(-18). Suppose 0*a - 4*a + 2*a = 0. Let t(h) = 2*h + a - 3*h + d. Determine t(v(z)).
z**2
Let d(u) = 3*u**2. Suppose -20 = -4*l - 4*j, -4*l = -2*j - 3*j - 11. Let c(f) = 2*f**2. Let v(p) = l*d(p) - 5*c(p). Let o(b) = 9*b**2. Give v(o(m)).
162*m**4
Let o(u) = -u. Let n(m) = m**3 - 6*m**2 + m - 1. Let s be n(6). Suppose y + 0*y = -d - 5, s = 5*d - y. Let p(r) = -r + r - r + d. What is p(o(z))?
z
Let a(y) = y**2. Let t(l) be the first derivative of 63*l**2 - 15. Determine a(t(w)).
15876*w**2
Let j(g) = -3*g. Let l(n) = 182*n. Determine l(j(s)).
-546*s
Suppose 6*i - 2*i + 4 = 0. Let s(r) = 2*r**2 - r - 1. Let n be s(i). Let b(x) = n*x - 4*x + 4*x - 4*x. Let w(h) = -2*h**2. Calculate b(w(