
y**2
Let m(l) be the first derivative of 5*l**3/6 - 3*l + 3. Let p(x) be the first derivative of m(x). Let b(n) be the second derivative of n**3/6 - n. Give p(b(u)).
5*u
Let s(v) = -v. Let y(k) = -63*k + 78. Give y(s(c)).
63*c + 78
Let a(c) = -2*c + 5. Let n(f) = -3 - f + f + f. Let d(b) = 3*a(b) + 5*n(b). Let u(z) = -3*z. Let j(i) = -80*i. Let h(y) = 2*j(y) - 55*u(y). Determine d(h(v)).
-5*v
Let a(j) = 3*j - 2*j + 4*j. Let n(i) = -i. Let s(p) = -a(p) - 6*n(p). Let d(q) = -3*q. Let v(m) = -4*m. Let x(h) = 5*d(h) - 4*v(h). Give s(x(k)).
k
Let t(q) be the first derivative of -q**4/12 + 4*q - 4. Let x(r) be the first derivative of t(r). Let g(w) = 6*w. What is g(x(c))?
-6*c**2
Let s(t) = t**2 + 3. Let x(c) = 2*c**2. What is x(s(u))?
2*u**4 + 12*u**2 + 18
Let b(m) = m. Let g(k) = k**2 + 183. Calculate g(b(a)).
a**2 + 183
Let s(r) = -9*r**2 - r. Let y(a) = -28*a**2 - 3*a. Let z(f) = 7*s(f) - 2*y(f). Let u(l) = l**2. What is z(u(k))?
-7*k**4 - k**2
Let l(x) = 19*x - 32*x + 20*x. Let v(d) be the second derivative of d**4/6 - d. Give v(l(j)).
98*j**2
Let m(l) = l**2. Let j(b) be the first derivative of 5*b**3/3 + 44. Determine j(m(w)).
5*w**4
Let l(g) = -5*g - 6. Let z(w) = 11*w + 13. Let c(t) = -13*l(t) - 6*z(t). Let o(i) = 2*i**2. What is c(o(f))?
-2*f**2
Let m(r) = -263*r**2 + 1. Let y(l) = -36*l. Give y(m(v)).
9468*v**2 - 36
Let i(k) = -6*k - 3. Let z(d) = 7*d + 4. Let n(r) = 4*i(r) + 3*z(r). Let f(a) = 4*a. Determine n(f(p)).
-12*p
Let i(o) = -2*o + 4. Let u(z) = -1. Let b = -3 - -2. Let d(g) = b*i(g) - 4*u(g). Let l(f) = 2*f**2 + 124 - 124. Calculate l(d(p)).
8*p**2
Suppose 0 = -0*b - 3*b + 3. Let a(g) = -b + g + 1. Let v(z) = z**2 + z + 1. Let u(j) = 8*j**2 + 10*j + 10. Let t(k) = -u(k) + 10*v(k). What is t(a(h))?
2*h**2
Let x(v) = -156*v - 2. Let a(n) = -n**2. Determine x(a(u)).
156*u**2 - 2
Let c(x) = -2*x**2. Let q(v) = 133*v**2. What is q(c(t))?
532*t**4
Let d(s) = -2*s**2. Let i(k) = 10*k**2 - 5*k. Calculate i(d(y)).
40*y**4 + 10*y**2
Let v(x) = 6*x - 3*x - 3*x - 2*x**2. Let r(y) = 10*y + 6. Let d(o) = 20*o + 11. Let k(p) = 6*d(p) - 11*r(p). Give v(k(m)).
-200*m**2
Let q(h) = h + 1. Let o(m) = -m - 3. Let l(y) = -o(y) - 3*q(y). Let g(b) be the second derivative of 0*b**2 - 5*b + 0*b**3 + 0 + 1/4*b**4. Give l(g(r)).
-6*r**2
Let k(a) = a. Suppose 0 = 2*m - 0*m + 20. Let o be (6/m)/(2/(-30)). Let f(z) = -z + o - 9. Calculate f(k(y)).
-y
Let z(t) be the second derivative of -17*t**3/6 - 33*t. Let m(x) = -4*x. Calculate z(m(f)).
68*f
Let m(d) be the third derivative of d**8/20160 + d**5/20 + 2*d**2. Let k(l) be the third derivative of m(l). Let g(x) = 2*x**2 + x**2 - x**2. Give g(k(v)).
2*v**4
Let g(v) = -2*v. Let t(q) = -7*q**2 + 25. Calculate g(t(k)).
14*k**2 - 50
Let a(i) = 6*i + 208. Let d(p) = -p**2. Give a(d(m)).
-6*m**2 + 208
Let x(m) = 4*m - 5. Suppose -4 = 4*j, 3*t + 20 = -2*j - 6. Let a(z) = -6*z + 8. Let u(q) = t*x(q) - 5*a(q). Let l(h) = 2*h. What is u(l(c))?
-4*c
Let k(t) be the third derivative of -t**5/30 - t**2. Let m(c) = 11*c. Let p(u) = u. Let b(r) = -m(r) + 5*p(r). What is k(b(l))?
-72*l**2
Let j(o) = -3*o**2. Let w(k) = 42*k**2 - 97*k**2 + 49*k**2. What is j(w(q))?
-108*q**4
Let n(d) = -11*d**2. Let x(s) be the third derivative of s**5/12 + 5*s**2. What is x(n(o))?
605*o**4
Suppose 5*m - 5 = 5. Let p(f) = m*f - f - 3*f + f. Let o(y) = 2*y**2. Give p(o(g)).
-2*g**2
Let w(o) = o + 2*o + o - 3*o. Let u(x) be the third derivative of x**4/12 - 2*x**3/3 - 2*x**2. Let f(r) = r - 3. Let c(v) = 4*f(v) - 3*u(v). Give c(w(b)).
-2*b
Let y(u) = -17*u**2. Let d(p) = 6*p**2. Determine d(y(f)).
1734*f**4
Let q(c) = -2*c**2 + 5*c**2 - 7*c**2 + 7*c**2. Let a(j) be the third derivative of -j**5/60 + j**2. Calculate a(q(k)).
-9*k**4
Let w be 4/18*(-21)/(-140). Let t(z) be the third derivative of 0*z**3 - 2*z**2 + 0 + w*z**5 + 0*z + 0*z**4. Let v(s) = -2*s**2. Give t(v(j)).
8*j**4
Let h(m) be the third derivative of -m**4/12 - m**2. Let z(r) = -1. Let d(s) = -s - 4. Let y be (-2)/(-3)*(3 + 3). Let i(t) = y*z(t) - d(t). Calculate i(h(c)).
-2*c
Let t(z) = 4*z**2. Let o(v) = 48*v. Calculate t(o(r)).
9216*r**2
Let a(w) = 5*w. Let p(v) = 48 - 48 + 2*v. Determine p(a(n)).
10*n
Let m(t) = -123*t**2. Let u(l) = 2*l + 73. What is u(m(z))?
-246*z**2 + 73
Let i(s) = -s**3 + 6*s**2 - 5*s. Let c be i(5). Suppose 0*y = 5*y - 10. Let o(r) = -y*r + r + c*r. Let g(d) = -d. Give g(o(n)).
n
Let i(h) = -2*h. Let r(s) = -5*s. What is i(r(f))?
10*f
Let v(f) = -f. Let g(p) = 6762*p. Determine v(g(s)).
-6762*s
Let g(b) = -10*b. Let y(o) = -o. Let j(u) = 4*g(u) - 45*y(u). Let p(r) be the first derivative of r**2 - 2. Determine p(j(a)).
10*a
Let n(z) = 2*z**2. Let d(q) = -q - 58. Calculate n(d(b)).
2*b**2 + 232*b + 6728
Let j(n) = -5*n**2. Let p(k) = 105 - 105 - 3*k**2. Determine j(p(h)).
-45*h**4
Let t be (-4)/(-18) + 43/9. Let d(m) = -m + t*m - 3*m. Let s(l) = l**2 + 1706*l - 1706*l. Give d(s(g)).
g**2
Let t(i) = -95*i**2. Let w(f) = 3*f. Determine w(t(m)).
-285*m**2
Let f(o) = -20*o. Suppose v = 2 + 2. Let h(c) = -c + v*c + 3*c - 5*c. Give h(f(l)).
-20*l
Let f(b) = 30*b - 85*b + 26*b + 27*b. Let c(t) = 107*t**2. Calculate f(c(w)).
-214*w**2
Let n(y) = -3*y**2. Let g(t) = -650*t + 1. Determine n(g(f)).
-1267500*f**2 + 3900*f - 3
Let o(i) = -5*i**2. Let r(y) = y + 294. What is r(o(u))?
-5*u**2 + 294
Let l(n) = n. Let i(q) = -60*q. Give i(l(f)).
-60*f
Suppose 2*n - 5 = -4*v + 1, -4*n = -3*v + 21. Let d(k) be the third derivative of 0 - 1/8*k**4 + 0*k**v - 2*k**2 + 0*k. Let b(x) = -2*x. Determine d(b(f)).
6*f
Let q(r) be the first derivative of -7*r**2 + 3. Let l(m) = -3*m. Let b(o) = -7*o. Let v(f) = 4*b(f) - 9*l(f). Calculate v(q(d)).
14*d
Let q(a) = 7*a. Let p(r) = -3*r. Let d(m) = 5*p(m) + 2*q(m). Let h(b) = 2*b**2. What is h(d(i))?
2*i**2
Let g(z) be the second derivative of z**7/2520 - z**4/4 - 2*z. Let q(n) be the third derivative of g(n). Let d(k) = k. Calculate q(d(h)).
h**2
Let m(g) = 2*g - 12. Let c(p) = p. What is c(m(l))?
2*l - 12
Let f(x) = -92*x - 3. Let h(z) = z. What is f(h(p))?
-92*p - 3
Let o = 32 - 29. Let h(f) be the second derivative of 0*f**2 + 3*f + 1/6*f**o + 0. Let z(u) = 3*u**2. Determine h(z(j)).
3*j**2
Let n(b) = -27*b**2. Let o(g) = 2*g**2 + 27. Calculate o(n(q)).
1458*q**4 + 27
Let c(j) be the second derivative of -j**6/720 + j**4/12 + 2*j. Let q(v) be the third derivative of c(v). Let w(l) = 2*l. What is w(q(n))?
-2*n
Let o(l) = 3*l. Let a(q) = -3*q. Suppose -f + 5*f - 44 = 0. Let c(s) be the second derivative of 8*s**3/3 - 22*s. Let x(p) = f*a(p) + 2*c(p). What is o(x(z))?
-3*z
Let n(v) = -4*v. Let x(l) = -1. Let z(b) = -b**2 + 2. Let p(w) = -10*x(w) - 5*z(w). Give n(p(d)).
-20*d**2
Let l(m) = -2*m. Let d(r) be the third derivative of -3*r**4/8 - 8*r**2. Calculate l(d(n)).
18*n
Let x be 60/14 - (-2)/(-7). Let a(h) = 4 - x - h. Let c(z) = -2*z. Determine a(c(k)).
2*k
Let q(m) = 2*m**2. Let n(b) = -b**3 - 5*b**2 - b + 1. Let j be n(-5). Let t be (j/6)/(1/2). Let r(l) = 0*l + 0*l + t*l**2. Determine q(r(s)).
8*s**4
Let a(m) = 4*m. Suppose 0 = -h + 3. Let i(y) = -2*y**2 + 2*y**2 + h*y**2. Determine a(i(s)).
12*s**2
Suppose -1 = -g + 7. Let w(s) = 0*s + s - g*s - 7*s. Let v(l) = -l. Give v(w(p)).
14*p
Let l(h) = -3*h**2. Let k(r) = -r + 16. What is l(k(y))?
-3*y**2 + 96*y - 768
Let k(m) be the second derivative of m**3/2 - 7*m. Let f(r) = 11*r**2. What is f(k(c))?
99*c**2
Let m(p) be the first derivative of 1 + 0*p + 0*p**2 + 1/3*p**3. Let x(a) = 2*a. Determine x(m(c)).
2*c**2
Let f(w) = 135*w**2. Let c(s) = -10*s - 2. Determine c(f(l)).
-1350*l**2 - 2
Let t(s) = -13*s**2 + 6*s**2 + 4*s**2. Let d(k) = k**2. Calculate d(t(z)).
9*z**4
Let x(u) = u**2. Let y(w) = 7*w**2. Let b(v) = -3*x(v) + y(v). Let q(a) = 9*a - 6. Let d(t) = 2*t - 2. Let n(k) = -3*d(k) + q(k). Calculate b(n(s)).
36*s**2
Let h(i) = 5*i. Let j(n) = -768*n. Determine j(h(a)).
-3840*a
Let p(y) = 12*y. Let l(r) = -2*r**2 + 34*r. Determine l(p(g)).
-288*g**2 + 408*g
Let f(q) = -2*q**2. Let x = 1 - 1. Suppose -6*n + 16 = -3*i - 2*n, -n = -5*i - 4. Let c(a) = i*a**2 + 0 + x + 8*a**2. What is c(f(b))?
32*b**4
Suppose -4 = f - 7. Let w be 2 + 7 + 2/(-1). Let b(g) = 2*g**2 + 3. Let x(r) = -5*r**2 - 7. Let l(k) = f*x(k) + w*b(k). Let y(u) = u**2. What is l(y(o))?
-o**4
Let m(z) = -1