Determine p(f).
1
Let a(n) = 9*n**3 + 21*n**2 + 12*n - 27. Let m(i) = -5*i**3 - 11*i**2 - 6*i + 14. Let l(p) = 6*a(p) + 11*m(p). Calculate l(6).
-8
Let q(o) be the first derivative of o**2 - 9*o + 6. Give q(8).
7
Let j(o) = o**2 + 8*o + 7. Suppose 4 = -2*a - 12. Determine j(a).
7
Let h = 27 - 38. Let r = h + 9. Let i(l) = -2*l**3 - 2*l**2 + 2*l. What is i(r)?
4
Let j(i) = 1. Let x(y) = -11*y + 4. Let t(c) = 2*j(c) - x(c). What is t(-2)?
-24
Let k(a) be the second derivative of a**8/6720 + a**7/504 - a**6/144 - a**5/60 - a**4/2 + a. Let m(h) be the third derivative of k(h). Determine m(-6).
-8
Let s(b) = b. Let k(c) = c - 1. Let m(g) = -2*k(g) + s(g). Give m(6).
-4
Suppose 2*x + 5 = 3*x. Let o(v) = 1 + 2 + x*v - 1 + 1 + v**2. Give o(-3).
-3
Let a(s) = s**2 + 15*s - 21. Let g be a(-16). Let l(r) = -r**2 - 2*r + 6. Determine l(g).
-9
Let c(p) = -p**2 + 1. Let f be c(1). Let b(m) = -20 - 2*m**3 + 0*m**2 + 13 - m**2 + 3*m**3. Give b(f).
-7
Let f(p) = -p**2 - 6*p. Let i be -1*(-4*1 - -3). Let s = i + -6. Calculate f(s).
5
Let x be (-10)/1*2/(-4). Let s = 6 + -6. Let j(g) = s + 5*g - 3*g**2 - 1 + 2*g**2 - 3. Calculate j(x).
-4
Let l(m) = -m - 2. Let f be 5 - 2 - 4 - -8. Determine l(f).
-9
Suppose 0*c = 3*c. Let d(i) be the third derivative of -i**5/60 + i**3/2 - 22*i**2. Determine d(c).
3
Let f = -31075/24 + 1295. Let s(h) be the third derivative of 1/60*h**5 + f*h**4 + 5/6*h**3 + 2*h**2 + 0 + 0*h. Calculate s(-4).
1
Suppose -2*w - 5 = -v, 0 = -5*v + 3*w - 0*w + 25. Let r = v - 6. Let l be -2 - -3 - 5*r. Let x(b) = -b + 5. Give x(l).
-1
Let s be 2/7 + 24/14. Let n(m) = 5*m**2 - 4*m - 2*m**s + 0 + 2. Let t = -2 - -4. Calculate n(t).
6
Let r(n) = n**2 - n - 1. Let w(g) = 5*g + 3. Let s(p) = 4*r(p) + w(p). Give s(1).
4
Let o = -3 + 0. Let f(l) = l**3 + 7*l**2 + 2*l + 5. Let s = 5 + -11. Let v(q) = -q**3 - 6*q**2 - q - 4. Let t(u) = s*v(u) - 5*f(u). Give t(o).
-7
Let l(a) = -3*a**2 + 3*a + 3. Let y(f) = f + 1. Let i(v) = l(v) - 6*y(v). Let z(m) = 2*m**2 + 2*m + 3. Let q(s) = 3*i(s) + 4*z(s). What is q(-3)?
-3
Let l(u) = -1 + u**2 + 0*u**3 + 2*u**2 - u**3. Let b = -13 + 16. What is l(b)?
-1
Let m(j) = -j**2 - j + 1. Let k = 0 + 4. Let q = k - 6. Determine m(q).
-1
Suppose -3*f - 38 = -4*a, -4*f + 2*f - 27 = -3*a. Let l(v) = v**2 + 6*v - 3. Determine l(f).
-3
Let i(c) be the first derivative of -c**3/3 + 3*c**2/2 + 2*c + 3. Suppose 4*m = 3*w + 4, -4*m - 3*w + 8 = -20. Calculate i(m).
-2
Let g(m) be the second derivative of m**4/4 + m**3/3 - 3*m**2/2 + m. Let a(b) = 3*b**2 - 178 + 6*b + 7*b**2 + 168. Let j(w) = -2*a(w) + 7*g(w). Calculate j(-4).
7
Let w(l) = -l**2 + l + 8 + 0 - 3. Suppose 4 = 4*q + 2*d, -2*q - 4 = -13*d + 11*d. What is w(q)?
5
Let g(v) = -v**3 - 3*v**2 + v - 2. Let b be g(-3). Let m(w) = w**2 + 6*w + 7. Give m(b).
2
Let m(c) = 3*c + 1. Suppose 0 = -w + 3*w - 10. Calculate m(w).
16
Let n(f) = -f + 7. Let l(s) = s. Let j(u) = -3*u - 6. Let x(t) = -j(t) - 4*l(t). Let p(z) = -4*n(z) + 5*x(z). Give p(4).
-2
Let z(w) be the second derivative of -w**6/360 + w**5/24 + w**4/12 - w**3/2 - 2*w. Let d(l) be the second derivative of z(l). Determine d(5).
2
Let b(v) be the third derivative of 1/120*v**6 + 0*v + 1/6*v**4 - 4*v**2 - 1/3*v**3 + 0 - 1/30*v**5. Calculate b(2).
6
Let w(k) = -2*k**3 - 4*k**2 - 3*k - 2. Suppose 0 = 2*x + x + 21. Let v = -9 - x. What is w(v)?
4
Let p(z) = z**2 + 5*z + 2. Let x be -1 + 1 + 2 + -6. Determine p(x).
-2
Let h(w) = w**2 + 6*w - 6. Let z(r) = -r**2 - 6*r + 5. Let s(l) = -3*h(l) - 2*z(l). What is s(-6)?
8
Let b(w) = 6*w**3 - 5*w**2 + 11*w - 14. Let v(j) = -5*j**3 + 6*j**2 - 11*j + 13. Let k(f) = -4*b(f) - 5*v(f). What is k(9)?
9
Let p be (-10)/(-5) + -1 + -1. Let x(q) be the second derivative of q**3/6 - q**2/2 - 2*q. Give x(p).
-1
Let h(p) = 6. Let s(v) = -v + 19. Let z(i) = -7*h(i) + 2*s(i). Suppose 5*u + 29 + 6 = 0. Let l = -10 - u. Calculate z(l).
2
Let s(w) = w**2 + 2*w - 2. Suppose 153 = -4*i + 41. Let k be 8/i - 48/28. Calculate s(k).
-2
Let k(o) = o**2 - 5*o + 3. Let v be (-423)/45 + 6/(-10). Let z = v - -15. Let b be k(z). Let c(m) = m - 4. What is c(b)?
-1
Let j(w) = -4*w + 12. Let i be (15/(-6))/((-1)/2). Let r(u) = i*u - 12 - 2*u + 0 + 0*u. Let y(n) = -2*j(n) - 3*r(n). What is y(6)?
6
Suppose -15*n + 16*n - 3 = 0. Let j(s) be the second derivative of -1/6*s**3 - 3/2*s**2 + 1/12*s**4 + 0 - n*s. What is j(0)?
-3
Suppose -3 - 5 = -2*g. Suppose g*v - 1 - 5 = 2*w, 0 = -3*v + 3*w - 3. Suppose 0 - v = -i. Let a(x) = -2*x + 3. What is a(i)?
-5
Let b(k) be the second derivative of k**3/6 - k**2 - 53*k. Determine b(-2).
-4
Suppose 3*q - 2*h = q - 6, -q + 5*h = 23. Let u(c) = 7*c + 4. Let l(w) = w + 1. Let p(t) = 3*l(t) - u(t). What is p(q)?
-9
Let y(t) = t**2 - 7*t - 10. Let d = 23 + -16. Calculate y(d).
-10
Let g(q) = 3*q**2 - 4*q - 3. Let x(o) be the first derivative of -10*o**3/3 + 6*o**2 + 8*o - 5. Let h(a) = 7*g(a) + 2*x(a). Calculate h(4).
-5
Let x(u) = u**2 + u. Let q(h) = 4*h**2 + 2*h - 1. Let k(t) = -q(t) + 3*x(t). Give k(1).
1
Let b(v) = v**2 - 7*v + 3. Let d = -5 + 7. Suppose 0 = -5*u + 17 - d. Give b(u).
-9
Let z(j) = -j**2 + 6*j - 4. Let n = -58 + 64. Calculate z(n).
-4
Let k = 6 + -4. Let r = 4 + 2. Let g(q) = -r*q - 7*q + 9*q. Calculate g(k).
-8
Let u(i) = -7 - 6*i**2 - i + i**3 - 4*i + 6*i. Calculate u(6).
-1
Suppose 12 = 5*x - 23. Let s = 4 - x. Let t(i) = i**3 + 4*i**2 + 3*i - 4. Let y be t(s). Let h(w) = -w**3 - 4*w**2 - 2*w - 6. What is h(y)?
2
Suppose -3*q = -6*q + 9. Let g(w) be the first derivative of w**3/3 - 3*w**2/2 + 1. Determine g(q).
0
Suppose 0 = 2*o + 4 - 10. Suppose 4*d - o*d - 2 = 0. Let i(k) = -9*k + d - 2 - 1. Give i(-1).
8
Let k(n) = -6*n - 24*n**3 + 9*n**3 + 10 - 12*n**2 - 11*n**2. Let t(g) = -7*g**3 - 11*g**2 - 3*g + 5. Let d(q) = 6*k(q) - 13*t(q). Determine d(-4).
-1
Let f(i) = -i**3 - 6 + 6 - 4*i**2 - 4*i. Suppose 15 = 3*c - 8*c. Calculate f(c).
3
Let b(c) = -c**3 + 8*c**2 + 20*c + 6. Let y be b(10). Let q(t) = -t. Give q(y).
-6
Let f(b) = 2*b - 27 - 2*b + 3*b + 22. Let l = 6 - 2. Determine f(l).
7
Suppose 4*h - 3*h - 13 = -3*q, -4*q = -4*h + 4. Let f be q + -3 + 3 - 1. Let w(l) = l**3 - 4*l**2 - l. Calculate w(f).
-10
Let i(m) be the second derivative of m**3/2 + 5*m**2/2 + 4*m. Let g = 4 - 8. Determine i(g).
-7
Let g be (-5)/(-2) - 3/(-6). Suppose -5*b - 3 = -s + 5, -g*b = 6. Let a be ((-6)/s)/(1/1). Let v(t) = -2*t - 3. Determine v(a).
-9
Suppose -3*o + 2*s = -3*s - 8, -2*o - 4*s = 24. Let m be (-1 + 1)/(-2 - o). Let h(n) = n + m*n + 0*n + 0*n. Determine h(0).
0
Let z be 0 - (-2 + 1 + 3). Let r be z/2*3/3. Let i be -1*(r + -1) + 0. Let g(k) = -5*k + 3. What is g(i)?
-7
Let i(l) = l + 5. Let f be i(0). Let r(q) = -q**2 + q - 1. Let y(w) = w**3 - 3*w**2 - 5*w + 4. Let h(c) = r(c) + y(c). What is h(f)?
8
Suppose -5*o + m = 0, -5*o + 3*m = -m. Suppose 0 = -o*u + 3*u - 12. Let r(b) = 7*b - 15. Let c(h) = -h + 1. Let x(p) = 6*c(p) + r(p). What is x(u)?
-5
Let h(y) = 6*y - 2*y**2 - y - y**3 - 3 + 6 - 2*y. Let k be h(-2). Let x(l) be the first derivative of -l**4/4 - l**3 + l**2/2 - 4*l + 2. What is x(k)?
-7
Let w(b) be the second derivative of -b**3/2 - b. Determine w(4).
-12
Let k(j) be the first derivative of -j**3/3 - 7*j**2/2 - 2*j + 2. Let m be k(-6). Let g be m*(0 + 1) + -1. Let f(s) = s**2 - 5*s + 3. Give f(g).
-3
Let d(j) = j**3 - 5*j**2 + 2. Let z be 10/(-1)*6/12. Let x(w) = 2*w**3 - 7*w**2 + 3. Let l(g) = z*x(g) + 7*d(g). Give l(-1).
2
Let a(q) = -2*q + 7. Let z be a(5). Let o(b) be the second derivative of b**4/12 + b**3/3 - b**2/2 + 5*b. Give o(z).
2
Let g(h) = 1 - h**2 + 4 + 6*h + 0*h**2 + 0*h**2. Give g(6).
5
Let k(s) = -s**2 + 6*s - 6. Let f(q) = 4*q**2 - 18*q + 19. Let b(y) = 2*f(y) + 7*k(y). Calculate b(-7).
3
Let m(x) = x**2 - 3. Let k be (2 - 2) + (-2)/2. Let o be ((-4)/2 + 5)/k. Give m(o).
6
Let g(h) = 16*h**3 - 26*h**2 - 26. Let r(n) = -3*n**3 + 5*n**2 + 5. Let b(c) = -2*g(c) - 11*r(c). Give b(3).
-3
Let y(q) be the second derivative of q**6/720 - q**5/40 - q**4/6 - 2*q. Let m(i) be the third derivative of y(i). Give m(-4).
-7
Let j(q) = -22*q - 6. Let g(x) = -7*x - 2. Let o(s) = 16*g(s) - 5*j(s). Calculate o(4).
-10
Let h(j) = -4*j + 3. Let d(b) = b**3 + 2*b**2 - 2*b + 1. Suppose -6 = 4*u + 6. Let q = u - -4. Let t be d(q). What is h(t)?
-5
Let v(q) = q**3 