second derivative of q(f). Determine m(c(s)).
3*s**2
Let f(w) = -2*w**2. Suppose -i - i = 0. Suppose h - 2*h = i. Let o(t) = h*t**2 - 2*t**2 + t**2. Determine o(f(r)).
-4*r**4
Let o(l) = 2*l. Let t(j) = 5 + 2*j + 0*j - 5. Determine t(o(w)).
4*w
Let t(d) = -450*d + 19. Let l(i) = -2*i**2. Calculate l(t(r)).
-405000*r**2 + 34200*r - 722
Let d(k) = -2*k. Suppose 2*a - 5 = 3. Let n(z) = 2*z - 5. Let m(c) = c - 2. Let w(t) = a*n(t) - 10*m(t). What is w(d(y))?
4*y
Let s(j) = -5*j. Let n(w) = w. Let b(o) = 18*n(o) + 4*s(o). Let h(y) = -9*y**2 + 6. Let a(g) = 17*g**2 - 11. Let p(d) = 6*a(d) + 11*h(d). Give b(p(f)).
-6*f**2
Let u(r) = -4*r**2 + r. Let c(p) = -5*p. Calculate c(u(o)).
20*o**2 - 5*o
Let d(g) = -2*g. Let o(b) = 50*b - 100. Let n(z) = 1. Let f(c) = -100*n(c) - o(c). Give d(f(y)).
100*y
Let r(s) be the second derivative of s**4/6 + 190*s. Let a(f) be the first derivative of -2*f**3/3 + 1. Determine r(a(d)).
8*d**4
Let d(a) be the third derivative of a**4/24 - 2*a**2. Let t(w) be the first derivative of -3*w**2/2 - 30. Give d(t(x)).
-3*x
Let s(r) = -r**2. Suppose 0 = -5*m + 4*x - 13, -8 = 6*m - 4*m - 3*x. Let f = m + 2. Let a(t) = 2*t - f + 1. Calculate a(s(z)).
-2*z**2
Let r(y) = 137 + 6*y - 274 + 137. Let n(v) = -4*v. Determine r(n(j)).
-24*j
Let m(o) = 2*o**2. Let v(r) = 0*r - 5*r + 4*r - 2*r. Determine m(v(a)).
18*a**2
Let t(f) be the third derivative of f**4/12 + 2*f**2. Let p(d) = 3*d**2. What is t(p(c))?
6*c**2
Let c(h) = 3*h**2. Suppose 3*w = 4*w + 3*w. Let z(r) be the third derivative of 0*r - 1/12*r**4 + w + 0*r**3 - 2*r**2. Determine z(c(p)).
-6*p**2
Let r(v) = 18*v - 18*v - 3*v**2. Let p(l) be the second derivative of -l - 1/3*l**3 + 0 + 0*l**2. Give p(r(d)).
6*d**2
Let n(p) = -p**2 - 883*p. Let t(f) = 2*f. Give t(n(o)).
-2*o**2 - 1766*o
Let l(y) = y + 2. Let j(n) = 1. Let m(b) = -4*j(b) + 2*l(b). Let x(a) = 2*a**2. Determine m(x(t)).
4*t**2
Let s(h) = -h. Let y(u) = -2*u - 16. Let o(r) = -1. Let w(q) = q**2 + q + 48. Let t be w(0). Let b(l) = t*o(l) - 3*y(l). Give s(b(g)).
-6*g
Let i(c) = 4*c - 9. Let m(v) = 2*v - 4. Let s(b) = -4*i(b) + 9*m(b). Let k = -6 - -8. Let p(x) = -x - 2*x**k + x. Give s(p(a)).
-4*a**2
Suppose 3*s - 10 = -0*g - 4*g, -g - 1 = -s. Suppose s*r + r = 0. Let b(d) = r*d + 2*d - d. Let v(n) = n**2. Calculate b(v(t)).
t**2
Let n(i) be the second derivative of -i**6/120 + i**3/6 + 3*i. Let m(c) be the second derivative of n(c). Let b(d) = -d. Give b(m(l)).
3*l**2
Let g(r) = 15*r**2. Let j(c) = -c. Give g(j(p)).
15*p**2
Let u(z) = z - 4*z + 4*z. Let b(d) be the first derivative of -d**5/60 - 3*d**2 - 5. Let l(q) be the second derivative of b(q). Determine u(l(v)).
-v**2
Let v(x) = 7*x. Let d(t) = 6*t. Let j(f) = -6*d(f) + 5*v(f). Suppose -3 = q + 2*h - 12, h = q. Let w(i) = i**2 - q + 3. Calculate w(j(s)).
s**2
Let f(q) = -2*q - 3 + 0*q - 4. Let s(z) = -2*z - 6. Let u(h) = 6*f(h) - 7*s(h). Let x(v) = -4*v. Give x(u(k)).
-8*k
Let g(r) = 13*r**2. Let m(o) = -6*o. Let i(t) = t. Let k be -8 + (-6)/(-4)*2. Let v(u) = k*i(u) - m(u). Give v(g(n)).
13*n**2
Suppose -a = 2*a - 15. Let d = -3 + a. Let o(t) = d*t + 3*t - 4*t. Let s(v) = v**2. Calculate s(o(w)).
w**2
Let h(x) = -x. Suppose -3*y = -y + 2*o + 6, -5*y = -5*o - 35. Let a(s) = s - s + 2*s**y. Calculate a(h(f)).
2*f**2
Let p(x) = 6*x. Let t(d) = -11*d. Let w(z) = 5*p(z) + 3*t(z). Let n(s) = 8*s. Give n(w(v)).
-24*v
Let m(s) = -s. Let c(l) = 29*l**2 + 1. Give c(m(w)).
29*w**2 + 1
Let r(n) = -3*n**2. Let o(q) be the second derivative of q**3/6 + 2*q. Calculate r(o(k)).
-3*k**2
Let a(j) = 199*j. Let r(q) = 2*q**2. What is r(a(o))?
79202*o**2
Let n(m) be the third derivative of -m**5/60 + 222*m**2 + m. Let l(o) be the second derivative of 1/6*o**3 + 0*o**2 + o + 0. Calculate n(l(k)).
-k**2
Let k(h) = -7*h. Let s(f) be the third derivative of -f**5/60 + f**2. Give s(k(m)).
-49*m**2
Let t(z) = z. Let d(a) = 65*a**2 + 2*a. Determine d(t(s)).
65*s**2 + 2*s
Let f(v) = 30*v. Let n(c) = c**2 + 6*c**2 - 6*c**2. What is n(f(a))?
900*a**2
Let c(v) be the first derivative of 0*v + 0*v**2 + 1 + 2/3*v**3. Let m(d) = -2*d. Give m(c(g)).
-4*g**2
Let w(h) = -h - 1. Let v be w(-4). Let n(k) = -2*k + k + 0*k + v*k. Let x(j) = j. What is n(x(g))?
2*g
Let i(k) be the third derivative of k**5/60 + 2*k**2. Let n(t) = t. Let g(p) = -4*p. Let u(y) = -g(y) - 5*n(y). What is u(i(x))?
-x**2
Let a(y) = -4*y. Let z(w) be the second derivative of -w**3/3 - 4*w. Determine a(z(c)).
8*c
Let s(h) = 159*h. Let d(f) = 3*f. What is d(s(y))?
477*y
Suppose 0*p + 20 = 3*p + 4*d, -2*p - d + 10 = 0. Suppose 0 = r + p, -4*r - 1 - 27 = -3*a. Let l(f) = 4 - a + 4*f. Let g(z) = 2*z**2. Give l(g(b)).
8*b**2
Let o(a) = 2*a**2. Let t be 2 - (-3 - (-3 + -2)). Let p(z) be the third derivative of 1/24*z**4 + z**2 + t + 0*z**3 + 0*z. Determine p(o(x)).
2*x**2
Let l(g) = g**2. Suppose -4*w = -t + 4*t - 6, 4*t = -3*w + 8. Let b(h) be the first derivative of 0 - 4 + t - h**2. Determine b(l(m)).
-2*m**2
Let n(u) = 0*u**2 - u**2 - 7*u**2. Let t(j) = -4*j**2. Let f(d) = 3*n(d) - 5*t(d). Let r(z) = -2*z. Calculate f(r(l)).
-16*l**2
Let y(h) = 2*h. Let v(t) = 7*t. Calculate y(v(g)).
14*g
Let x(w) be the second derivative of 0*w**3 + 0 - 1/12*w**4 - 2*w + 0*w**2. Let u(v) = -v**2. Determine u(x(o)).
-o**4
Let h(b) = 0*b + 3*b - 5*b. Let r = -3 + 6. Let j(w) = -7*w + r*w + 2*w. Give h(j(o)).
4*o
Let d(m) = 290*m**2. Let h(a) = -16*a. Give d(h(k)).
74240*k**2
Let r(y) = -y. Let s(t) = 109*t. Give s(r(j)).
-109*j
Let m(f) = -f. Let y(d) = -333*d. Let t(k) = 444*m(k) - y(k). Let r(i) = 2*i**2. Give t(r(a)).
-222*a**2
Let t be (-1436)/(-12) + (-16)/(-12). Let l(f) = t - f - 121. Let w(z) = 5*z**2. Give l(w(u)).
-5*u**2
Let g = 15 + -11. Let f(v) = -45 + 45 + g*v. Let x(m) be the third derivative of m**5/30 + m**2. Give x(f(a)).
32*a**2
Let q(v) = 21807*v**2. Let h(u) = -2*u. What is h(q(j))?
-43614*j**2
Let z(x) = -3*x**2 - 3*x**2 + 3*x**2. Suppose 4*g - 28 = -0*g. Let l(w) = 2 - 2 - 5*w + g*w. Give l(z(u)).
-6*u**2
Suppose 10 = -4*a + 2*a. Let j(r) = 3*r. Let m(i) = 6*i. Suppose 6*q = q, -2*g = -2*q - 6. Let d(l) = a*j(l) + g*m(l). Let z(n) = 2*n. Determine d(z(v)).
6*v
Let g(z) = 9*z**2. Let m(b) = -b + 10. Let f be m(7). Let l(w) = -3*w + f*w + w. Calculate l(g(n)).
9*n**2
Suppose 19 = 4*j + 3*k, -j + 5*k = -5*j + 21. Let a(d) = d**2 - 4*d + 3. Let f be a(j). Let v(p) = -f*p + 3*p - p. Let o(b) = 2*b**2. Give o(v(t)).
2*t**2
Let s(i) = 3*i**2. Let n(q) = -4*q. Let u(v) = -v. Let a(h) = -3*n(h) + 15*u(h). Calculate s(a(c)).
27*c**2
Suppose -6 = -c - 4. Let l(y) = 2*y**c - 2*y**2 + 2*y**2 + y**2. Let j(i) = i - 1. Let n(k) = 2*k**2 - 8*k + 8. Let q(r) = 8*j(r) + n(r). Determine q(l(u)).
18*u**4
Let w(f) = 4*f - 9. Let d(x) = x - 2. Let r(v) = 9*d(v) - 2*w(v). Let u(p) = -5*p. Calculate u(r(b)).
-5*b
Let m(r) = 5*r + 3. Let g(t) = 6*t + 4. Let v = 1 - -2. Let f(j) = v*g(j) - 4*m(j). Let k(c) = -3*c. Determine f(k(x)).
6*x
Let z(m) = m**2 - 5*m. Let d(h) = -2*h**2 + 8*h. Let n(t) = 5*d(t) + 8*z(t). Let y be 2*1 + (1 - 0). Let b(x) = -3 + y + 2*x**2. Calculate b(n(l)).
8*l**4
Let h(s) = -3*s. Let u(n) = 19*n - 3. Calculate u(h(c)).
-57*c - 3
Suppose -2*t + t + 4*k + 15 = 0, 3*t + 2*k - 3 = 0. Let g(s) = -6 + 6 + t*s. Let m(d) = d**2. Determine g(m(x)).
3*x**2
Let t = 8 + -2. Let g(p) = t*p**2 - 2*p**2 - 7*p**2. Let m(o) be the third derivative of -o**4/12 + o**2. Determine m(g(c)).
6*c**2
Let o(y) = 5*y**2. Let i(d) = 597*d - 1. Give o(i(r)).
1782045*r**2 - 5970*r + 5
Let c(d) = d**2. Let z(o) be the third derivative of o**8/20160 + o**5/20 + o**2. Let k(h) be the third derivative of z(h). Give k(c(p)).
p**4
Let x(u) = -13*u - 7. Let p(d) = 11*d + 6. Let k(s) = -7*p(s) - 6*x(s). Let z(h) = 11*h**2. Calculate z(k(v)).
11*v**2
Let n(i) be the second derivative of -1/6*i**4 + 0*i**3 + 0*i**2 + 0 - i. Let k(r) = 3*r**2. Give n(k(w)).
-18*w**4
Let f(m) be the second derivative of 0*m**2 - 1/2*m**3 + 0 - 4*m. Let s(o) = o**2. What is f(s(q))?
-3*q**2
Let u(o) be the third derivative of -o**4/12 - 6*o**2. Let t(m) be the second derivative of 0*m**3 + 1/12*m**4 + 0 + m + 0*m**2. What is u(t(d))?
-2*d**2
Let v(h) = 2*h. Let j(q) be the first derivative of 10*q**3/3 + 3*q + 55. What is v(j(u))?
20*u**2 + 6
Let v(t) = 2 - 2*t - 1 - 1. Let x(g)