31. Determine i(m).
7
Let f(y) be the third derivative of -y**6/720 - 7*y**5/120 - 13*y**4/12 + 18*y**2. Let a(z) be the second derivative of f(z). Calculate a(-6).
-1
Let l(s) = -13166*s**2 + 3*s + 13170*s**2 - 6 - s**3 + s. Determine l(5).
-11
Let l(c) = -5*c - 6*c**2 + 0 + 82*c**3 - 83*c**3 + 6. Suppose 9 = -2*t - 1. Determine l(t).
6
Let s(j) = -j**2 + 8*j + 3. Let g be 1 + (7 - 8)/((-2)/16). Suppose -2*d + g = -9. Calculate s(d).
-6
Let p(x) be the third derivative of -x**6/120 + 3*x**5/20 - 5*x**4/8 - 5*x**3/6 - 421*x**2. Give p(4).
15
Let a be (-44)/(-6) + 5/(-15). Let n(p) = 0*p**2 + 5 + 2*p**2 + 2 - p**2 - a*p. Suppose 5*c - 20 = -2*v, -2*c = -0*c + 2*v - 2. What is n(c)?
1
Let j(n) = -n**3 - 3*n**2 - n - 3. Let w(v) = v**2 + v + 2. Let m(s) = -j(s) + 2*w(s). What is m(-6)?
-47
Suppose 5 = -2*s - 3*s, 19 = -4*h + 5*s. Let t be 3 + (h - 12/(-3)). Let f(k) = 0*k**2 + k**3 + t - 2*k - 3*k**2 - 2 + 0*k**2. Calculate f(4).
7
Let h(p) = p + 2. Let a(j) = 4*j - 13. Let i be a(5). Suppose -3 = i*f - 8*f. Suppose -5*u - 2*z - f*z + 5 = 0, 3*z + 2 = -2*u. Determine h(u).
7
Let v(d) = -d**3 + 6*d**2 - d + 2. Suppose -u + 2*u = 4*w - 16, -3*w = -3*u - 3. Suppose 5*y - 2*y = -w*k + 38, -4 = -k. Determine v(y).
-4
Let z = 132 + -134. Let p(c) be the second derivative of -2*c + 0 - 5/6*c**3 - c**2. Give p(z).
8
Let r(t) be the third derivative of -t**4/24 + t**3/6 + 8*t**2. Let m be r(-7). Let j = 14 - m. Let h(d) = -d**3 + 7*d**2 - 8*d + 6. Determine h(j).
-6
Let p(n) = -11*n + 2. Let c = 12 + -11. Let f be p(c). Let l = -7 - f. Let y(z) = -z**2 + z + 1. Calculate y(l).
-1
Suppose 4*k + 4*u - 216 = 0, k - u - 29 = 3*u. Suppose -55*s = -k*s + 30. Let i(t) = -t - 1. Determine i(s).
4
Let b be 33/3 - (-8)/(-2). Suppose -1 = j - c, 1 = -j - b*c + 4*c. Let m(p) = -1 + 5*p**2 + 2 + 1 - 3. What is m(j)?
4
Let b(p) = -2*p + 10. Let u(s) = s - 5. Let o(x) = -6*b(x) - 11*u(x). Suppose 2*k - 2*r - 10 - 10 = 0, 0 = 3*k - 5*r - 38. Suppose 4*w = k*w - 8. What is o(w)?
-1
Suppose -8*s + 4 = -6*s. Suppose 10 + 2 = s*x. Let k(p) = -4*p**2 + 5*p - 15. Let f(i) = -5*i**2 + 4*i - 17. Let u(w) = 3*f(w) - 4*k(w). Calculate u(x).
-3
Let f(m) = m + m - 8 + 1 - m. Let x be f(9). Suppose 2*h = -5*c - 11, x = h - c - 3. Let p(w) = -2*w**3 + 4*w**2 - w - 2. Calculate p(h).
-4
Let j = 2 - 5. Let p(c) = -9*c**2 - c + 6. Let i(s) = 4*s**2 + s - 3. Let h(u) = j*p(u) - 7*i(u). What is h(-5)?
-2
Let c(h) = -h**2 - 4*h + 7. Suppose -37 = -5*q + 4*x, 8 + 9 = q + 4*x. Let j(v) = 5*v**2 - 3*v**2 - 6 + q*v - 9. Let f(s) = 5*c(s) + 2*j(s). What is f(-5)?
-10
Let k(q) = -q**2 - 139 + 5*q - 2*q + 135. What is k(3)?
-4
Let b(y) be the third derivative of -5*y**4/24 - y**3/6 - 14*y**2. Let o(g) = -g**3 - g**2 + 2*g - 1. Let h be o(1). Give b(h).
4
Suppose -21 = -4*r + 23*p - 20*p, -r - 5*p = 12. Let i(q) = q - 2 - q + 2*q**2. What is i(r)?
16
Let y(k) = 6*k + 1. Let w(f) = -3*f. Suppose 0 = -5*b - j + 20, 13 - 3 = -3*b - 5*j. Let s(g) = b*w(g) + 3*y(g). What is s(5)?
18
Let m(k) be the third derivative of k**6/120 + k**5/4 - 5*k**4/6 - 4*k**3 + 945*k**2. Determine m(-16).
40
Let l(j) = -2*j - 15. Let y be l(-8). Let d(q) = 3*q - 517*q**2 + 516*q**2 + 1 + y. Let t be 0/(-2) + 2 - 0. Determine d(t).
4
Suppose 0 = -3*p + 5*x - 50, -4*x + 9*x = 2*p + 35. Let q = -14 - p. Let w(o) = -8*o - 1. What is w(q)?
-9
Let a(m) = 3*m**3 + 18*m**3 - 2*m**2 + 3*m**3 + 2*m + 1 - 2 + 0. Calculate a(1).
23
Let u(o) be the first derivative of o**2/2 + 8*o - 115. Calculate u(-3).
5
Let g be (-7)/3 + 4/12. Let f(u) be the third derivative of 5*u**4/24 - u**3/6 - 20*u**2. What is f(g)?
-11
Let t(c) be the second derivative of c**8/6720 - c**7/840 + c**5/40 - 5*c**4/3 + 10*c. Let r(n) be the third derivative of t(n). Determine r(3).
3
Let m(d) be the third derivative of -d**6/120 - d**5/10 - 5*d**4/24 - d**3/6 + 10*d**2 - 19. Calculate m(-3).
-13
Let l(n) = -2*n + 10. Let a be l(7). Suppose -2*j + 15 = 3*j. Let p(d) = d**3 + 4*d**2 - 3*d**j + 1 + 3*d**3 + 4*d. Determine p(a).
-15
Let v(b) = -2*b**2 - 9*b + 11. Let l be v(-5). Suppose 0 = z + 1 + l. Let u(r) = r + 10. Calculate u(z).
3
Let v = -265 - -259. Let s(y) = y**2 + 4*y - 3. Calculate s(v).
9
Suppose 0 = -0*b + 5*b - 25. Let m(p) = 2*p**2 - p - p**2 - b*p + 7*p. Let y(u) = -u**3 - 12*u**2 - 9*u + 10. Let t(i) = 3*m(i) + y(i). What is t(-8)?
-6
Let v(j) = -3*j - 17. Let m be -3 - ((-32)/(-4) + 6/(-2)). What is v(m)?
7
Let r = -268 + 283. Let w(s) = s**3 - 12*s**2 - 46*s + 13. Give w(r).
-2
Let j(p) = -9*p. Let a(c) = 8*c. Let i(d) = -5*a(d) - 6*j(d). Let h be 5 - (-6)/(10/5). Let x = h - 7. What is i(x)?
14
Suppose 7*l + 71 - 106 = 0. Let m(v) be the first derivative of -v**4/24 + 7*v**3/6 - 3*v**2/2 - 1. Let t(n) be the second derivative of m(n). Calculate t(l).
2
Let g(q) = 5 - 59*q + 176*q - 61*q - 57*q - q**2. Suppose -4*u + 36 = -4*h + 7*h, -4*h + 2*u = -26. Let i(r) = r**2 - 8*r. Let y be i(h). Determine g(y).
5
Suppose l + 6 - 7 = 0. Let d(x) = x**3 - 11*x**2 - 11. Let j(s) = s**2 - s + 1. Let b(v) = l*d(v) + 5*j(v). Calculate b(7).
8
Let l(b) = b**3 + 12*b**2 + 11*b + 3. Let d(z) = -2*z**2 + 34*z + 157. Let u be d(21). What is l(u)?
3
Let r(l) = 4*l - 4. Let f = -463 - -469. Give r(f).
20
Let x(f) be the second derivative of -f**4/4 - f**3 + 61*f. Calculate x(-5).
-45
Suppose 3*f - 11*f = -32. Let b(n) = -6*n**3 + 5*n**2 - 5*n + 1. Let w(d) = 5*d**3 - 4*d**2 + 4*d - 1. Let s(g) = f*b(g) + 5*w(g). Calculate s(1).
0
Let p(r) = 12*r - 2 + 3 - 2*r. Suppose -93 = 2*k - 91. Determine p(k).
-9
Let z(v) = 11*v + 19010 - 19010. Determine z(-2).
-22
Suppose -9*j - 3*f - 6 = -10*j, -4*f = 3*j + 8. Let g(d) = 107 - 2*d - 114 + d**2 + j*d. Give g(5).
8
Let x(o) be the second derivative of -o**4/3 + o**3/6 + o**2/2 - 62*o + 2. What is x(1)?
-2
Let y(w) = w**3 - w**2 - 4*w + 2. Let g be (-5)/(-3) + (-1)/(-3). Let r be g*-6*17/(-68). Determine y(r).
8
Let u = 2036 + -2028. Let v(s) = s**3 - 9*s**2 + 7*s. What is v(u)?
-8
Let a(p) be the third derivative of 1/10*p**5 - 2/3*p**3 + 0*p + 1/120*p**6 + 0 + 1/12*p**4 - 13*p**2. Calculate a(-5).
11
Let s(b) = -27 - 6 - 141*b + 139*b. Let f be s(-12). Let n(v) = v**3 + 10*v**2 + 8*v - 11. Determine n(f).
-2
Let s(i) = -i**3 + 13*i**2 - i + 16. Let w(b) = -17*b + 47. Let u be w(2). Give s(u).
3
Let p(o) = -3*o**3 + 3*o**2 - o. Let z(j) = -j. Let n be z(0). Suppose -q + 3 + 1 = n. Let w be -4*(-3 - (-10)/q). Calculate p(w).
-14
Let r(v) be the first derivative of v**4/4 + 7*v**3/3 - 3*v**2/2 - 9*v + 1. Suppose 0 = 114*h - 116*h - 14. Give r(h).
12
Let s = 65 - 59. Let b(d) be the first derivative of -7/2*d**2 - 1 + 1/3*d**3 + d. Determine b(s).
-5
Let s(i) = i**2 - 2*i - 4. Let t(z) = z**2 - z - 4. Let o be 5 + -3 + -3 + 3. Let a(l) = o*s(l) - 3*t(l). Let g be 4/6 + (-12)/18. Calculate a(g).
4
Suppose 0 = 3*j + 2*w - 10, -4*w = -3*j - 5*w + 5. Let m(g) = -2 - 2*g - 3*g + 3*g + j*g. Suppose -1 = v + 2, -3*v + 7 = -4*i. Calculate m(i).
6
Let v(o) = o + 12 - 7 - 6 + 0*o + 7. Let g(t) be the second derivative of -t**5/20 - t**4/12 + t**3/2 - 3*t**2/2 + t. Let k be g(-3). Calculate v(k).
12
Let s be ((-4)/3)/(9/(-54)). Suppose 4*w - 3*g = -g + s, 0 = -w + 3*g + 12. Suppose w = -n - 1 + 5. Let m(p) = p**2 - 4*p + 5. Calculate m(n).
5
Let r(f) = 3*f**2 + 13*f - 8. Let c be r(-5). Let q(z) = -z**2 - 3*z + 4. Give q(c).
-6
Let c(a) = -76*a + 73*a + 0 + 1 + 1. What is c(4)?
-10
Let u(o) = -o**2 + 7*o + 7. Suppose 45*c = 40*c + 25. What is u(c)?
17
Let n be (-3 - -2 - 3) + -2. Let h be n/(-15) - (-160)/(-25). Let q(o) be the first derivative of -o**2 - 15. Give q(h).
12
Let p(m) = 2*m - 5. Let q = 24 + -20. Suppose -r = -q - 1. Determine p(r).
5
Let z(x) = 13*x**3 - 2*x**2 + 4*x - 2. Let m(d) = 39*d**3 - 6*d**2 + 12*d - 6. Let i(y) = 3*m(y) - 8*z(y). What is i(1)?
13
Let n(u) be the second derivative of -3*u**5/10 + u**4/12 + u**3/6 + u**2/2 - 9*u - 6. Suppose 2*c - 2 = -4. Calculate n(c).
7
Let q(c) = 3*c - 3. Let y be q(2). Let f(k) = 225*k + 3 - 220*k - 4. Give f(y).
14
Let r(x) = 2*x - 2. Let y be r(4). Suppose -2*q + q - y = 0. Let a(m) = 3*m**2 + 5*m + 1. Let o(l) = -4*l**2 - 5*l. Let c(t) = -3*a(t) - 2*o(t). What is c(q)?
-9
Let g(l) = -5*l - 11. Let q(d) = 3*d + 7. Let b(u) = 5*g(u) + 8*q(u). Suppose 14*w - 25 - 3 = 0. Suppo