8).
1
Let d be (6/3 - 20)/(0 + -1). Let w(z) = -13 - d + 13*z**2 - 2*z + 32. What is w(1)?
12
Let a(q) = -4*q**2 - 2*q + 1. Let w(j) be the second derivative of j**4/12 - j**3 + 3*j**2 - j. Let h be w(5). Calculate a(h).
-5
Let w(h) be the second derivative of -5*h**2 - 10*h. Let v(q) = q + 10. Let r(d) = -2*v(d) - 3*w(d). Calculate r(9).
-8
Let i(u) = 6*u**3 - 2*u. Let j(y) = -y**3. Let w(o) = i(o) + 4*j(o). Let z = -379 + 377. Determine w(z).
-12
Suppose 45*g - 25*g = 0. Let a(x) be the third derivative of -x**5/60 - 5*x**3/6 - 9*x**2. Determine a(g).
-5
Let o = 14 - 10. Suppose -4*u + 4 = 3*k, 4*u - 4 = o*k - 5*k. Let z(l) = -l**2 - 14. What is z(k)?
-14
Suppose l = -l + 3*z - 3, -l = -5*z + 12. Suppose 3 = l*j - 2*j. Let x(d) = 0 + 4*d**2 + d - 1 + d**3 - j + 2*d**2. Calculate x(-6).
-10
Let n(j) = 9*j**2 - 10*j - 37. Let d(t) = -7*t**2 + 11*t + 37. Let v(q) = -5*d(q) - 4*n(q). What is v(-3)?
-1
Suppose -3*v + v + 363 = -3*f, 2*v - 2*f = 366. Let j = v - 178. Let c(o) be the second derivative of o**5/20 - 2*o**4/3 + o**3/6 - o**2/2 + o. Calculate c(j).
7
Let q(u) = u**2 - u - 5. Let f(m) be the second derivative of m**4/6 - m**3/6 - 3*m**2 + 34*m. Let d(y) = 3*f(y) - 4*q(y). Give d(2).
12
Let h(f) = f**3 + 2*f**2 - f - 2. Let w be (-4)/(-18) - 426/(-27). Suppose -2*i - 14 = -0*d + 3*d, 3*i = -2*d - w. Calculate h(d).
0
Suppose -24 - 46 = -14*c. Let v(b) = -b**3 + 5*b**2 - 4. Calculate v(c).
-4
Suppose -366*p + 81 = -393*p. Let r(i) be the first derivative of -i**3/3 - 2*i**2 + 3*i + 3. Give r(p).
6
Suppose 3*m = u - 64 + 323, 4*m + u = 350. Let z = m - 89. Let p(w) = -4*w. Calculate p(z).
8
Let i(m) be the first derivative of -1/4*m**4 - 9 + 1/2*m**2 + 0*m**3 - 7*m. Calculate i(0).
-7
Let f(b) be the second derivative of b**4/12 + b**3/3 + 5*b**2/2 - 4*b + 3. Give f(-4).
13
Let l = 45 + -33. Suppose -l*m + 15 - 99 = 0. Let x(z) = z**2 + 10*z + 9. Calculate x(m).
-12
Suppose -150*f + 145*f + 5 = 0. Let s(p) = 2*p**3 + 3*p**2 - 2*p. Give s(f).
3
Suppose f = 2*m + 8, 7*f - 3*f + 4*m = -28. Let n(i) = -i**2 - 2*i - 3. Give n(f).
-3
Suppose 5*z - m = 14, -z - z + 3*m + 3 = 0. Let v(x) = 2 + x**3 + x - 5 + x - 3*x**2 + 0*x. Calculate v(z).
3
Let k(h) = -h**3 + 1213*h**2 - 3 + 2*h + 1218*h**2 - 2432*h**2. Calculate k(-3).
9
Suppose -s + 2*l + 9 = 0, 2*s + 12 = -5*l + 3. Let z be (9 + -6)/(s/2). Let c(x) = -x**3 - 2*x**2 + 2*x - 1. Calculate c(z).
-13
Let p(y) = 6*y - 29*y**2 + 1 + 30*y**2 + 3 - 18*y - 5. Calculate p(12).
-1
Let o(f) = -2*f + 8. Let x(k) = -k**3 + k**2 + 2*k - 3. Let j be x(2). Let s(b) = -b + 7. Let n(m) = j*s(m) + 2*o(m). What is n(-4)?
-1
Let o(q) = -12 + 3 + 2 + q. Give o(10).
3
Let p = 0 + -6. Let n(b) = -b**2 + 7*b - 8. Let i be n(5). Let f(a) = -3 - 1 + 6*a**2 + a**3 + 5*a**i - 4*a**2 + 6*a. Give f(p).
-4
Let g(s) = -18 - 21 + 36 - s + 2*s. Let k(z) = -2*z + 13. Let y(r) = -r + 6. Let d(w) = 2*k(w) - 5*y(w). Let h be d(0). What is g(h)?
-7
Let f(z) be the second derivative of z**3/3 - z**2 + 122*z. Let d be (3 + -2)*(-16)/(-2). Suppose -d = -3*y + y. What is f(y)?
6
Let z(h) = -h + 10. Let k(r) = -14*r + 76. Let x be k(6). Give z(x).
18
Suppose 6*j - 88 = 2*j. Suppose 14 - j = 2*b. Let u(w) = -w**3 - 5*w**2 - w - 4. What is u(b)?
-16
Let s(y) be the first derivative of 3*y**2 - 1/60*y**5 - 2/3*y**3 - 4 + 0*y + 0*y**4. Let f(b) be the second derivative of s(b). What is f(0)?
-4
Let u(s) be the first derivative of -s**3/3 + 5*s**2/2 + 11*s + 7. Determine u(-4).
-25
Let o(z) = -z**3 + 10*z**2 - 3*z + 8. Suppose -19*g = -185 - 5. Determine o(g).
-22
Let a(i) be the second derivative of -i**5/20 - i**4 - 5*i**3/3 + 8*i**2 + 3*i. Let c be a(-11). Let f(x) = -5 - c + x + 0*x + 4. Calculate f(5).
-1
Suppose t - 72 = -8*t. Suppose 0 = 2*u + 3*g - 1, 4*u + 4*g = -u - t. Let k(r) = r**3 + 4*r**2 + r + 2. What is k(u)?
-2
Let v(a) = a**3 - 7*a**2 + 3*a + 5. Let h(f) = -2*f**3 - 3*f + 8*f**2 + 3*f**3 - 2*f**3 - 6. Let k(j) = -5*h(j) - 6*v(j). Suppose 2*x = 2 + 2. Determine k(x).
-6
Let a = 120 - 126. Let f(o) = -o**2 - 9*o - 4. What is f(a)?
14
Let w be (-8)/68 + (-468)/(-221). Let q = 1 + 2. Let s(v) = v - 2 - 2*v**3 - q*v + 5*v. What is s(w)?
-12
Let o(u) be the second derivative of u**3/3 - 23*u - 1. Let l = -4 - -8. Suppose -m - 4 = k, l*m = -k - 0*k - 7. Give o(m).
-2
Let l be 10/(-25) + 3/(15/32). Let q(k) be the third derivative of k**4/12 - k**3 + 11*k**2. Give q(l).
6
Suppose 5*a - 11 + 103 = 2*p, 73 = -4*a + p. Let y(m) = -m**2 - 19*m - 6. What is y(a)?
12
Let i(s) = s. Let v(n) = 2*n**2 - 7*n. Let m(h) = 5*i(h) + v(h). Give m(-5).
60
Let p(x) be the third derivative of x**4/24 + x**3/3 + 7*x**2 + 2. Give p(7).
9
Let v(u) = -4*u**2 - 3*u**2 - 8*u**3 + u**3 + 8*u - 3 + 8*u**3. What is v(6)?
9
Let f(x) = x**3 + 3*x**2 - 4*x + 3. Let h be f(-4). Let y(j) = j + 0*j**h - j**3 + 6 + 5 - 10*j**2 + j**2. What is y(-9)?
2
Let y(u) = -5*u + 5. Let o(i) = -9*i + 10. Let n(j) = 4*o(j) - 7*y(j). Let x be (-3)/(-2) + -2 + 66/44. Suppose -v = x - 7. Calculate n(v).
-1
Let c(g) = -g**2 + 5*g - 7. Let r = -259 + 264. Give c(r).
-7
Let q(c) = -5*c - 6*c + 7*c - 3 - 2*c - 2*c**2 + 6*c**3. Let j(o) = -5*o**3 + 2*o**2 + 5*o + 2. Let h(z) = -5*j(z) - 4*q(z). What is h(-2)?
-12
Let v = -26 + 26. Let a be -1*(-18)/(-3)*-1. Let h = a - v. Let t(o) = -o**3 + 7*o**2 - 6*o + 7. Determine t(h).
7
Let d(i) = -2*i + 1. Let t = -1 - -9. Let a be t/(0 + (-1 - -3)). Suppose 0 = -z - a*x + 15, -3 + 20 = 3*z + 5*x. Calculate d(z).
3
Let y(k) = -2*k - 5. Suppose 0 = -2*p - 4*m + 10, 2*p - 2*m - 10 = m. Let a(v) = 3*v + 9. Let g(h) = p*y(h) + 3*a(h). Determine g(6).
-4
Let o(z) = -z - 3. Suppose -5 + 13 = 4*v. Suppose -d = v*d - 9. Suppose -d - 1 = i. What is o(i)?
1
Let y(p) = -6*p**3 + 17*p**2 + 23*p + 11. Let a(r) = 5*r**3 - 16*r**2 - 21*r - 9. Let m(t) = -7*a(t) - 6*y(t). Calculate m(-9).
-3
Let q(u) = 7*u + 25. Let z(i) = -3*i - 3. Let f(b) = -q(b) - 2*z(b). Calculate f(-13).
-6
Let c(n) = -n**3 - n**2 + 2*n + 1. Let w(l) = -l**3 - 2*l**2 - 2*l + 1. Let i be w(-2). Let o = i - -13. Let b be 4/o - 112/(-63). What is c(b)?
-7
Let o(z) be the third derivative of z**6/120 - z**5/15 - 5*z**4/24 - z**3/3 + z**2. Let l = -986 - -991. Give o(l).
-2
Let p(g) = -g**3 + 3*g**2 + 7*g - 18. Let l be p(4). Let c(b) = 2*b + 7. What is c(l)?
-5
Let c = -7 - -11. Suppose -c = -2*m + 2*k - 6, 23 = 4*m + 5*k. Let r(n) = 2*n + n + n**2 - 3 + 0*n. What is r(m)?
7
Let j(o) be the first derivative of -o**3/3 - 4*o**2 + 13*o - 3. Let l be j(-9). Let w(s) = 3*s + 3. What is w(l)?
15
Let g(y) = -10*y**3 + y**2 - 4*y + 3. Let z(d) = 13 - 5*d - 9 - d**2 + 2*d**2 - 10*d**3. Let a(c) = -3*g(c) + 2*z(c). Let l = -56 + 57. Calculate a(l).
10
Let x = 82 + -76. Suppose 0*y = -x*y. Let h(c) = -c + 14. What is h(y)?
14
Suppose p = d, p + 0*d = -2*d + 6. Let v(b) = 0*b - b - 8*b + p*b. Suppose -2*w - 10 = 4*l, 2*l + 3*w + 7 + 4 = 0. What is v(l)?
7
Let f(q) be the first derivative of q**2 + 13*q - 142. Determine f(-6).
1
Suppose 0 = -2*w - 0*w + 6. Let n(l) be the third derivative of -l**6/120 + l**5/15 - l**4/24 + 2*l**3/3 - 646*l**2. Calculate n(w).
10
Let u(g) = -g**3 + 3*g**2 - g. Let j = 8 + -6. Determine u(j).
2
Suppose -142 - 194 = 42*k. Let d(o) = -o - 16. What is d(k)?
-8
Let v(f) = -3*f + 7. Let l(w) = -4*w + 10. Let m(o) = 2*l(o) - 3*v(o). Suppose 0 = -q, -q = 2*y - 5*q. What is m(y)?
-1
Suppose 0 = -3*h + 9*h + 6. Let z(m) = -m + 1. Let b(f) = -4*f + 4. Let p(y) = h*b(y) + 3*z(y). Calculate p(7).
6
Let z(m) = m**3 + 7*m**2 - 8*m + 7. Let h(d) = -9*d**2 + 1. Let x = 41 + -42. Let j be h(x). What is z(j)?
7
Let o(v) = -v**2 - 1. Let l(s) = -s**3 - 5*s**2 - s + 2. Let g(c) = l(c) - 2*o(c). What is g(-3)?
7
Let y be (-14)/(-5) - ((-55)/25 + 2). Let n(s) be the first derivative of s**3/3 - 3*s**2/2 + 2*s - 2. What is n(y)?
2
Suppose g - 4*g + 45 = 0. Let h(a) = a**2 + 0 - 3 - g*a + 12*a. Calculate h(-2).
7
Let y be 2 - (8 + 0/(-4)). Let t(l) be the second derivative of l**3/2 + 15*l**2/2 + 26*l - 1. Determine t(y).
-3
Let s(o) = o. Let w(j) = 3*j - 3. Let n be w(-2). Let i(y) = 3*y. Let h(b) = n*s(b) + 2*i(b). Suppose -9 = 3*t + 3*x, 3*x = -2*t + 2*x - 1. Determine h(t).
-6
Suppose -5*w + 5 = -5*f - 5, 8 = 2*w + 2*f. Let a(r) = -r**w + 5 + r**2 - 5*r**2 + 20*r - 13*r. Determine a(-4)