(a).
4
Let o(h) = 8*h + 3 + 3*h**2 - 4*h**2 - 2*h + 5. Calculate o(7).
1
Suppose -3*a = -5*w + 14, -a = 3*a - 2*w. Let d(x) be the first derivative of 1/4*x**4 + x**2 - 2/3*x**3 + 2*x - 6. Give d(a).
6
Suppose 3*n + 31 + 2 = 0. Let a = 11 + n. Let u(g) = -g**3 + g**2 + g - 1. What is u(a)?
-1
Let q be 2/6 - 26/6. Let p(o) be the second derivative of o**4/12 + o**3/2 + o**2 - 2*o. Determine p(q).
6
Let l(q) = -q**3 - 5*q**2 - 2*q - 7. Suppose -4*y - 4*k - 40 = 0, 4*k - k = -y - 20. Determine l(y).
3
Let h(f) be the third derivative of -f**5/60 + f**4/6 + 2*f**3/3 + 3*f**2. Let s(m) = -m - 1. Let i be s(-6). Give h(i).
-1
Let q be (10/6)/(-5)*-27. Suppose -q = -5*m - 4. Let c(a) = 2*a**2 + a - 1. What is c(m)?
2
Let u(i) be the first derivative of 0*i**2 + i**3 - 2*i - 4 + 1/4*i**4. Suppose -5*n - 19 = -t, 5*n + 7*t - 2*t - 5 = 0. Determine u(n).
-2
Let i(j) = -j**3 + 5*j**2 - 3*j + 1. Let o = 12 + -8. Determine i(o).
5
Let m(t) = 1 + 4*t - t**2 - t**3 + 2*t**2 - 5*t**2. Suppose 4*x - 2 + 22 = 0. What is m(x)?
6
Suppose -26 = 4*t + 3*u, -t - 4*u - 9 = -2*u. Let o be (-33)/(-7) - (-4)/14. Let d(k) = 2*k - k - k**2 + o - 5*k. Give d(t).
0
Let b(y) = -3*y - 17 + y + 3*y. Calculate b(0).
-17
Let k(i) = -i**3 + i**2 - i + 1. Let h(z) = -4*z**3 + 6*z**2 - z + 2. Let m(a) = -h(a) + 3*k(a). Determine m(3).
-5
Suppose -10*w + 26 = -4. Let h(l) = l**2 - 3*l + 1. Calculate h(w).
1
Let r(m) = 7*m**3 + m**2 - m - 1. Let o be r(1). Let s(z) = -z**2 + 2*z + 5. Give s(o).
-19
Let m(f) be the third derivative of f**4/4 + 7*f**2. What is m(-2)?
-12
Let t(m) = m**3 - 7*m**2 - 19*m + 5. Let v be t(9). Let n(a) = a**2 + 5*a + 2. What is n(v)?
-2
Let l(f) = 6*f**2. Let c = -55 - -54. Give l(c).
6
Let h(n) be the first derivative of -n**2 + 4/3*n**3 - 3*n + 1/4*n**4 - 4. Calculate h(-4).
5
Let y(o) = 2 + 2 + o**2 - 2*o - 2*o**2. Let f be (-156)/9 - 4/6. Let i = 13 + f. Determine y(i).
-11
Let w(t) = -3*t - 8. Let a(k) = 4*k + 9. Let v(d) = d**3 + 2*d**2 - 2*d - 1. Let b be v(-3). Let f(g) = b*a(g) - 5*w(g). Give f(3).
1
Let b be 6/36 - (-1)/(-6). Let w(f) = -7*f + 0*f + b*f. Give w(1).
-7
Let v(g) be the second derivative of g**4/12 + 7*g**3/6 + 7*g**2/2 + 8*g. What is v(-5)?
-3
Let i(q) = q**2 - q + 3. Let g = 14 + -14. What is i(g)?
3
Let c(b) = 4*b - 8. Let i(p) = -4*p + 7. Suppose -5*d + 3*a = -116, d + a - 3*a = 19. Suppose 8*o + d = 3*o. Let n(l) = o*c(l) - 6*i(l). Calculate n(2).
6
Let a = -32 - -35. Let m(s) be the second derivative of 0 - 1/12*s**4 + 4*s - 2/3*s**a + 1/2*s**2. Calculate m(-4).
1
Let j(l) = 2*l**3 + 3*l**2 + l - 1. Let g(t) = -2*t - 9. Let y be g(-6). Let f be y*-3*(-2 - -3). Let m be 3*(33/f - -3). Calculate j(m).
-7
Let s = 2 - 0. Let t(i) = 1 + s - 2*i**3 - i**2 - 2. Let y be t(-1). Let h(q) = -q**2 + 3*q - 3. Give h(y).
-1
Let w(c) = -11*c**3 + 25*c**2 - 7*c + 20. Let i(b) = 5*b**3 - 12*b**2 + 4*b - 10. Let g(j) = 9*i(j) + 4*w(j). Determine g(7).
-3
Let p(l) be the first derivative of l**4/4 + 2*l**3/3 + 3*l**2/2 + l + 19. Give p(-3).
-17
Suppose 0*r = r. Let o be r*(-2)/4 + 3. Let z(q) = 7 + 4*q - 6 - 3*q. What is z(o)?
4
Let v(j) = 2 + j + 2 + 0*j + 0. Determine v(-5).
-1
Let o(h) be the third derivative of -h**5/60 - 7*h**4/24 + h**3/3 + h**2. What is o(-6)?
8
Let y(c) = 2*c**2 - 2. Let h(f) = 3*f**2 - f. Let z be h(1). Let p be y(z). Let t(w) = 2*w - 6. Calculate t(p).
6
Suppose -t - 5*d = -2*t, 0 = 3*t - 4*d - 22. Suppose -2*k = -2*l - 8, 2*k - l = -2*k + t. Let j(z) = -2*z**2 + 1. Calculate j(k).
-7
Let c(s) = s**3 + s**2 - 4*s. Let t = 1 - -3. Suppose t*m + 6 = 2*m. What is c(m)?
-6
Let j(g) = -g**2 - g. Let z(y) = y**3 + 4*y**2 + 4*y + 6. Let v(i) = -5*j(i) + z(i). What is v(-8)?
-2
Let z(y) = y**3 - 6*y**2 + 2*y - 9. Let v be z(6). Let k(r) = 4*r**2 - 9*r - 4. Let g(u) = -u**2 + u + 1. Let p(c) = v*g(c) + k(c). Calculate p(5).
-6
Let i(g) be the first derivative of g**3/3 - 3*g**2 + 5*g - 1. Let d = -122 - -126. Determine i(d).
-3
Let f(n) = -10*n + 15. Let d(c) = -7*c + 10. Let p(w) = -7*d(w) + 5*f(w). Let r be p(4). Let y(j) = -5*j + 1. What is y(r)?
-4
Let z(a) = -a + 2. Let r(s) = -s**2 + 12*s - 13. Let j be r(10). Let n = -5 + j. Give z(n).
0
Let r = -12 + 8. Let q(s) = -1 - s + 2*s + 1 + 2. Let p be q(r). Let c(y) = y**3 + 2*y**2 + 3*y + 3. Give c(p).
-3
Let d(a) = -45*a - 8*a**3 + 45*a + 1. Determine d(1).
-7
Let c(u) be the first derivative of 2/3*u**3 - 2 + u**2 - 2*u. Suppose 0 = 4*r + 10 - 2. Calculate c(r).
2
Let n(u) = 1 - u**2 + u + 2 - 5. Suppose -4*y = 2*a + 2, -3*y - y - a - 7 = 0. Calculate n(y).
-14
Let o(v) = v**3 + 3*v**2 + 4*v + 4. Let l(x) = 2*x**2 - 1. Let y be l(-1). Let h = y - 4. Give o(h).
-8
Let s(d) = d**3 + 3*d**2 - 4*d. Let f(b) = -b + 13. Let z be f(6). Let c = -11 + z. Determine s(c).
0
Suppose -6*r + 3*r + 3*d = 9, 4*r + 18 = d. Let b(o) = -4*o + 5. What is b(r)?
25
Let o(h) = -h + 10. Suppose 5*q = -14 - 1, q - 42 = -3*x. Let v = 136 - 86. Suppose -5*c - 5*t + v = 0, 0*t = 3*t - x. What is o(c)?
5
Let p = 1 - 0. Let o(d) = -11*d + d + 1 + 9*d - 2*d**3. Give o(p).
-2
Let y be 0 + ((-2)/(-2) - -1). Suppose y*d + 4*g - 18 = 0, -2*g - 7 = -2*d - 1. Let m be d + -3 - (1 - -4). Let q(k) = -2*k**2 - 3*k + 3. Calculate q(m).
-6
Let i be (-3)/4 + 7/4. Let f(r) = -3*r - 8*r - r + i + r. Suppose l = -3*l + 4. What is f(l)?
-10
Let z(s) = s**2 - 9*s - 1. Suppose 8*h = 7*h + 4. Calculate z(h).
-21
Suppose 5*j - 16 = j. Let q(b) = b - 3*b + j*b + 2*b**2 - 3. Determine q(2).
9
Suppose n + 15 = 5*h, 2*h + 1 = -n - 0. Suppose 0 = 2*j - 6*j + 4. Let u(q) = j + q + 2 - 2. Determine u(h).
3
Let y(h) = -2*h**3 - 2*h**2 - 3*h - 2. Suppose 0 = -4*k + 8, -g + k = -0*k + 4. Calculate y(g).
12
Let y(x) = x**3 + 2*x**2 - 3*x - 2. Let d be y(-2). Suppose 0 = 6*h - d*h. Suppose -5*w + 5 + 4 = -s, h = 5*s - 5. Let j(l) = -l + 3. Give j(w).
1
Let d(v) be the first derivative of -v**5/60 + v**4/8 + 5*v**3/6 + 5*v**2/2 - 3. Let g(u) be the second derivative of d(u). Give g(5).
-5
Let s(k) = 116*k**3 + 5*k**2 - 1 + 2*k - 115*k**3 - 3 - 11*k**2. Calculate s(6).
8
Let t(k) = -2*k**3 + k**3 + 8*k - 4*k**2 - 6 - 4*k**2. Let x be t(-9). Suppose -n + 2 = x. Let g(c) = -4*c - 1. What is g(n)?
3
Let d be 85/30 + 2/12. Suppose d*l - 6 = 6. Let m(q) = -q**3 + 2*q**2 + 6*q - 2. Determine m(l).
-10
Let u(r) be the third derivative of r**6/15 - r**5/30 + r**3/6 - r**2. Let d be (-50)/(-6) - 3/9. Suppose 1 - d = t - 2*y, -5*y + 10 = 5*t. Determine u(t).
-9
Suppose 3*l + 10 = 1. Let q(x) = -3*x**2 + 3*x - 2. Let j(y) = 6*y**2 - 6*y + 4. Let w(m) = l*j(m) - 5*q(m). Calculate w(2).
-8
Let x be (-8)/(-20)*(2 + 3). Let q(d) be the second derivative of -d**3/6 + 2*d. Calculate q(x).
-2
Suppose -2 = 4*a + 10. Let o(j) = -j**2 + 1 + 4*j - 3*j**2 + 8*j**2 - 2*j**2. Give o(a).
7
Let y(j) = -j + 1. Let b(o) be the second derivative of o**4/12 + o**3/6 - 5*o**2/2 + 5*o. Let g(l) = b(l) - 3*y(l). Calculate g(-6).
4
Let c(y) be the first derivative of y**3/3 - 2*y**2 + 6*y - 4. Let o = 4 + 1. Calculate c(o).
11
Let j = -13/10 - -24/5. Let b(r) be the first derivative of -4 + j*r**2 - 7*r - 1/3*r**3. Calculate b(5).
3
Suppose -2*v - v + 6 = 0. Suppose -v*h = q - 0*h, -4*h = 0. Let j(a) = -20*a**2 - 3*a - 7. Let d(u) = -7*u**2 - u - 2. Let y(c) = 17*d(c) - 6*j(c). Give y(q).
8
Suppose -2*x - 40 + 40 = 0. Let g(j) = j**3 + j**2 - j + 7. Give g(x).
7
Suppose -3*b + 5*b - 10 = 0. Suppose b = 3*g - 2*j, -5*g = j - 8 - 9. Let v(i) = -g*i + 3*i + 2*i. Give v(4).
8
Let k = -105 - -107. Let o(i) = i**3 - 2*i - 1. Give o(k).
3
Suppose -3*n - 2*b + 4 = -3*b, -2*n = -4*b - 6. Let r(x) = 5*x**3 + 3*x**2 + 4*x + 5. Let y(l) = -l**3 - l**2 - 1. Let s(z) = n*r(z) + 6*y(z). Determine s(-3).
-13
Let h(w) = -w. Let n = -5 + 3. Let j(y) = 2*y**2 + 3*y - 3. Let k(f) = n*h(f) + j(f). Suppose 0*b - 5*i = -5*b, -5*b + 4*i = 4. What is k(b)?
9
Let q(h) = -3*h - h + 4*h**2 - 2 + h**3 - h**2. Suppose -3*z - 9 = -5*v + 18, 6 = 2*v. Give q(z).
-2
Let o be (7 - (2 + 2))*2/(-6). Let p(b) = 4*b**2 - 1. What is p(o)?
3
Let x = 15 - 13. Let y(u) = -6 + u + u**x - 6*u + 3. What is y(6)?
3
Let p(x) = -x**3 + 2*x**2 + 2*x - 2. Let q be p(-2). Let z = q + -6. Let g(d) = -2*d**2 + z + 5*d + 2 + d**2. Give g(5).
6
Let v(k) = -6*k**3 - k + 7*k**3 + 0*k - k + 3*k**2. Calculate v(-4).
-8
Let q(