3. Calculate w(8).
-27
Let v be (-27)/(-18)*(-1 - (-2)/6). Let a(l) be the second derivative of 0*l**2 - l + 1/20*l**5 + 1/12*l**4 + 1/6*l**3 + 0. Give a(v).
-1
Let b be -4 + (-68)/(-8) + 7 + -11. Let r(i) be the second derivative of 0 + b*i**2 - 7/6*i**3 + i. What is r(1)?
-6
Let p be (-114)/19*((-8)/3)/((-424)/159). Let q(w) = -6 - w - 2*w + w. Give q(p).
6
Let q(f) = 2*f - 10*f + 282 - 566 + 5*f + f**2 + 280. Let h(t) = -t**3 - t**2 - t - 1. Let b be h(-2). Determine q(b).
6
Let z(n) = -8*n - 190. Let h = -191 + 168. What is z(h)?
-6
Let n(y) be the second derivative of 5*y + 1/60*y**5 + 1/8*y**4 + 0*y**2 - 7/6*y**3 + 0. Let o(l) be the second derivative of n(l). Determine o(-4).
-5
Let o(m) = -23*m**3 - 21*m**2 - 47*m + 53. Let f(h) = 8*h**3 + 7*h**2 + 17*h - 18. Let v(a) = 17*f(a) + 6*o(a). Calculate v(-5).
52
Let a(y) = 2*y**2 - y - 53. Let p be (-46)/(-598) - (-11)/(-143). What is a(p)?
-53
Let s(l) be the first derivative of -l**4/12 + 2*l**3/3 - 41*l**2/2 + 97. Let m(k) be the second derivative of s(k). Determine m(2).
0
Suppose 76*g - 23*g = 24*g. Let x(l) = -l**3 - l - 11. Calculate x(g).
-11
Let n(i) = 26*i + 37. Let q(m) = 114*m + 146. Let a(g) = -9*n(g) + 2*q(g). What is a(-8)?
7
Let s(t) = 7*t - 2. Suppose -21*q = -20*q - 3*c + 6, c = -3*q + 22. Give s(q).
40
Let b(m) be the second derivative of 0 - 1/12*m**4 + 2*m**2 - 133*m - 1/2*m**3. What is b(5)?
-36
Let f(x) = -30*x**3 + 11*x**2 - 9*x + 6. Let b(t) = -31*t**3 + 13*t**2 - 11*t + 7. Let n(m) = 5*b(m) - 6*f(m). Give n(-1).
-26
Let m(w) be the second derivative of -w**5/20 + w**4/12 - w**3/6 + w**2 + 2*w. Let s be (-486)/(-18) + -20 + (-5 - (-2)/(-1)). Determine m(s).
2
Let q(m) be the second derivative of m**4/12 - 3*m**3/2 + m**2 - m. Let t(y) = 83*y - 490. Let h be t(6). What is q(h)?
-6
Let y(g) = -7*g + 1. Let h = -7038 + 7039. What is y(h)?
-6
Let i(x) = -5*x - 35. Let l be (-21)/4 - -10*22/880. Determine i(l).
-10
Let i = -109 + 111. Let k(c) = 5 + 31*c**2 - 11*c - 13*c**i - 5*c**2 - 15*c**2. Calculate k(-6).
-1
Suppose 4*b = -3*i - 7 + 29, 3*i + 18 = 6*b. Let k(h) = -h**3 + h**2 + 7*h - 11. Calculate k(b).
-31
Let y(x) = 10*x**2 + 908*x - 179. Let i be y(-91). Let o(f) = 22*f - 69. Give o(i).
-3
Let k(x) be the first derivative of 2*x**3/3 - x**2 + 6*x - 3144. Give k(2).
10
Let i(d) = -2 + 447*d**2 - 449*d**2 - 5*d - 6*d + 13 + 6. What is i(2)?
-13
Let n(j) be the first derivative of -2*j**3 - 3*j**2/2 - j + 6981. Let r(z) = -z**3 + 4*z**2 - 3*z - 1. Let u be r(3). What is n(u)?
-4
Let d(h) = h**3 - 7*h**2 + 8*h - 5. Let o be d(6). Let r(l) = 5*l + 2 + 3*l**2 + 6 + l**3 - l - o. What is r(-3)?
-11
Let q(z) = -z**2 + 1 + 30*z + 8*z**2 - 28*z + 7 + z**3. What is q(-5)?
48
Let n(v) = 42*v + 252. Let x be n(-6). Let z(w) be the third derivative of 1/120*w**6 + 0*w + w**3 + x - 25*w**2 + 1/20*w**5 - 1/6*w**4. Give z(-5).
-24
Let n(q) = -q + 1. Let r(t) = -3*t**3 + 1. Let s be 2/4 - ((-18)/4)/(-3). Let c be r(s). What is n(c)?
-3
Let m(a) = a**3 + 6*a**2 + 4*a - 2. Let q(u) = u**3 + 52*u**2 + 48*u - 158. Let c be q(-51). Calculate m(c).
3
Let h(v) = -v**3 + 8*v**2 + 5*v - 30. Let j(q) = -3*q**3 + 112*q**2 - 58*q + 784. Let z be j(37). What is h(z)?
54
Let b = -104 - -106. Let f(l) = -7*l + 60 + l**b - 127 + 66. Let j(g) = g**2 + 4*g + 1. Let q be j(-5). What is f(q)?
-7
Let d(c) be the second derivative of -1 + 23*c + 1/2*c**2 + 5/6*c**3 + 1/3*c**4. Calculate d(-2).
7
Suppose -577*b + 2425 = -92*b. Let i(z) = -25*z + 47. What is i(b)?
-78
Let s(z) = -z**3 + 8*z**2 - 3*z + 2. Let u(j) = -j**3 + 13*j**2 - 24*j - 41. Let x be u(4). Determine s(x).
30
Let m(b) = -11*b + 20. Let j = 6 - 37. Let u = j - -18. Let y(n) = 5*n - 10. Let o(h) = u*y(h) - 6*m(h). Determine o(-7).
3
Let f = 21 + -13. Let y(s) = -5*s + 0*s**3 + f*s**2 + 3*s - 7*s + s**3 + 2. Suppose 129*x + 303 = 48*x - 426. What is y(x)?
2
Let x be -1*6/(6/(-19)). Suppose 37*u - x*u - 72 = 0. Let v(c) = 2*c**2. Let i(t) = -t**2 + t. Let n(h) = -3*i(h) - v(h). What is n(u)?
4
Let m(f) = f**2 + 6*f - 1. Let n be m(-6). Let t(r) = 64*r**2 + 7*r + 16. Let u(y) = -28*y**2 - 3*y - 7. Let o(d) = 3*t(d) + 7*u(d). Calculate o(n).
-5
Let k(x) = -13*x**3 - 46*x**2 + 111*x + 284. Let t(c) = -3*c**3 - 12*c**2 + 27*c + 71. Let u(g) = 2*k(g) - 9*t(g). What is u(-17)?
-3
Let n(g) = 4*g - 1. Let c = -6 - -4. Let b(i) = -i**2 - 2. Let s(d) = 5*d**2 + d + 9. Let j(z) = -4*b(z) - s(z). Let w be j(c). Determine n(w).
-13
Suppose n + 14 = g - 4*g, -5*n - 31 = 2*g. Let q = 1046 - 1042. Let j be 40/n*1 - q*-1. Let u(s) = -s**2 - 5*s + 2. Calculate u(j).
6
Let t(u) be the second derivative of -u**5/20 + 3*u**3 - 2*u**2 + 4432*u. Determine t(5).
-39
Suppose 5*p + 2*o + 2 - 12 = 0, -4*p - 4*o + 20 = 0. Suppose p = -12*c + 15*c - 24. Let a(x) = -x + 9*x + 0*x + 1 - x**2. Calculate a(c).
1
Let f(d) = 6*d**2 - 367*d - 280. Let p be f(62). Let k(o) = o**3 - 31*o**2 + 28*o + 61. What is k(p)?
1
Suppose 2*r = -3*b + 32, 41 = 5*b - r - 34. Let q be (16/(-10))/(b/(-70)). Let a(o) = o - 11. Determine a(q).
-3
Let n(f) = f**2 + 5*f - 2. Let m(k) = -k**3 + 9*k. Let v be m(3). Let z be (-1 - v - 2)/(28 - 29). Suppose 4*b - 3*b = -3*q + z, 3*b + 27 = 3*q. Give n(b).
4
Suppose 419 = 28*h + 3947. Let a = h - -131. Let v(u) = -u**3 + 4*u**2 + 6*u + 1. Give v(a).
6
Let j(g) be the second derivative of -2*g**3 + 8*g**2 + 1867*g + 2. What is j(2)?
-8
Let s(w) = -20*w**3 - 2*w**2 - 3*w - 2. Let o be (9 + (-13)/2)/5 + (-3)/2. Calculate s(o).
19
Suppose x + 4 + 4 = 0. Let r = 16 + x. Let s(v) = 9*v + 118483*v**2 - 7 + 2 - 118484*v**2 + 0. Calculate s(r).
3
Let b(g) = 138*g - 63. Let i(h) = -253*h + 126. Let c(a) = -9*b(a) - 5*i(a). What is c(3)?
6
Let m(d) = 5*d + 7. Suppose 7*w + 2811 - 2741 = 0. Give m(w).
-43
Let l be (246/(-328))/((-3)/8) - (-7 + 2). Let p(q) = q**3 - 7*q**2 + 5*q - 41. Give p(l).
-6
Let y(g) = g**3 + 11*g**2 + g + 7. Let o(l) = -l**2 - 1. Let m(i) = i**3 + i**2 + i - 8. Let n(s) = m(s) + 3*o(s). Let d be n(0). Determine y(d).
-4
Let a(c) = 27 - 205*c - 239*c + 439*c. Give a(10).
-23
Let d = 2 - 2. Let f = 537 - 525. Suppose d = -25*c + 22*c + f. Let k(w) = -w**2 + w + 5. Give k(c).
-7
Suppose -3 = -3*z, -2*z - 3 = 4*y + 3*z. Let x(p) = 1 - 12*p - 3*p**2 - 4*p**2 + 30*p - 17*p - p**2. Give x(y).
-33
Let l(c) = -c**2 + 18*c + 4. Let m be l(18). Suppose -2 = 3*a - 3*z - 23, 0 = m*z. Let g(s) = -s**3 + 7*s**2 - 9. What is g(a)?
-9
Let j(n) be the second derivative of -n**6/180 - n**5/30 + n**4/24 - 2*n**3/3 + 3*n**2/2 + 2*n - 1. Let v(a) be the second derivative of j(a). Give v(-3).
-5
Suppose -640 = 6*h - 16. Let w = h - -105. Let f(g) = -14*g**2 + 2*g - 1. Calculate f(w).
-13
Let o(d) = -44*d + 1. Let c(v) = -v**3 + 3*v**2 - 23*v + 23. Let g(b) = -2*b**3 + 2*b**2 - 24*b + 22. Let z(s) = 3*c(s) - 2*g(s). Let y be z(-8). What is o(y)?
-43
Let d = 12 - -12. Let a be (d/20)/(2/50). Let r = a - 34. Let l(u) = u**3 + 5*u**2 + u - 2. What is l(r)?
10
Let q(n) = -2*n**2 - 5*n + 31. Let u(f) = f**2 + 2*f - 15. Let w(y) = 3*q(y) + 5*u(y). What is w(-8)?
-6
Suppose 0 = k + 12*k - 26. Let w(h) = -92*h**2 + 276*h**2 + h - 88*h**2 - 94*h**k. Calculate w(-1).
1
Let p = 472 + -447. Suppose -2*u - 9*v + 14*v = 41, -5*u - 3*v = p. Let c(t) = t**3 + 7*t**2 - 3*t + 9. What is c(u)?
-31
Let l(d) = 3*d - 1 - 2*d - 4*d. Suppose -22*r + 28 = -27*r - 3*z, 0 = 2*z + 12. What is l(r)?
5
Suppose -23*g - 3332 = 122*g + 51*g. Let x(n) = -n**3 - 16*n**2 + 13*n - 64. Calculate x(g).
4
Let v(a) be the first derivative of -a**3/3 - 7*a**2 - 9*a - 928. What is v(-13)?
4
Let r(i) = i**2 - 31*i. Let g(p) = 4*p**2 - 148*p - 2. Let m(s) = -g(s) + 5*r(s). Calculate m(3).
-10
Let y(a) = -a**3 + 26*a**2 - 2*a + 58. Let k be y(26). Let p(l) = 0 - 136*l**3 + 7*l**2 + 2 - 137*l**3 + 274*l**3 + k*l. What is p(-6)?
2
Let d(u) be the third derivative of u**7/1260 - u**6/120 - 29*u**4/24 + 45*u**2. Let s(i) be the second derivative of d(i). Let o = -13 + 17. Determine s(o).
8
Suppose 36 = 2*s - 28. Let i be 3*(-3 - s/(-6)). Let q(n) = -2*n - 1. Let z(a) = a. Let p(j) = i*z(j) + 4*q(j). Calculate p(4).
-8
Let q be (5 - (-1206)/(-48)) + (-2)/(-16). Let g(i) = i**2 + 16*i - 91. Calculate g(q).
-11
Let a(x) = 5 - 1 - 5*x - x**2 + x. Let o = 125 - 213. Let y = o + 82. Determine a(y).
-8
Let q(l) = 