. Calculate f(51).
2
Let m be 1 - 1*(-1 + -1). Let i(r) = 1 + m + 3*r - 4. Let u be 84/77*(-11)/2. Give i(u).
-18
Let n be ((-2)/5)/(42/(-6300)). Suppose -24*b + 4*b = -n. Let x(h) = h**2 - 4*h - 2*h**3 + 3*h**2 + 3*h + 4. Give x(b).
-17
Let d(w) = 4*w**3 - 8*w + w**2 - 2*w**3 + 11*w + 3*w**2 + 0*w**2. Let f = 6 - 4. Suppose -f = u - 0. Determine d(u).
-6
Let o(z) be the third derivative of z**6/120 - 13*z**5/60 - 5*z**4/8 + 19*z**3/6 - 84*z**2 + 1. Calculate o(14).
5
Let y be (90/(-20))/((-36)/8). Let j(a) = -29*a**2 + 2*a + 1. What is j(y)?
-26
Let p = -316 - -318. Let r(u) = -21*u**p + 10*u**2 - 2 - 5 + 7. Give r(-1).
-11
Let t be 2/(-10)*1 + 152/10. Suppose 51 + 54 = t*l. Let j(p) = -p**3 + 8*p**2 - 6*p - 5. Determine j(l).
2
Let g = -3812 - -3815. Let z(v) be the first derivative of 1/2*v**2 + g*v - 1. What is z(-6)?
-3
Let x(m) = -m**2 - 2*m - 3. Let p be -2 + (-1 + 0)/(1/(-4)). Suppose 6*o + 108 = p*o. Let v = 25 + o. Give x(v).
-3
Let h(a) = 12*a**3 + 2*a - 1. Let z = 22 + -17. Suppose -l + z*o - 1 - 28 = 0, -3*l = -3*o + 27. Let u = -3 - l. What is h(u)?
13
Suppose -7 = j - 10. Suppose -2*m - m - 3*y = 3, -j*m = -5*y - 21. Let d(h) = 3*h**2 + 2*h - 4*h - m - 3*h**2 - h**2 - h**3. What is d(-3)?
22
Let g(q) = -46*q + 51. Let w(t) = -40*t + 47. Let a(k) = 6*g(k) - 7*w(k). What is a(13)?
29
Let k(w) = -5*w**3 - 3 + w**3 + 3*w**3 - 2*w + 5*w**2. Suppose 162*u + 257*u + 291 - 2386 = 0. Give k(u).
-13
Let z(o) = -4*o + 6. Suppose a - y = 5, -2*a - 2*y + 10 = -3*y. Let t(v) = v. Let p(s) = a*t(s) + z(s). Determine p(-4).
2
Let h(o) = -3*o**2 + 4*o + 4 - 5 + 2*o**2. Suppose 5*u + d + 28 = 7*u, -4*d = -u + 28. Let k be (-1 - 5)*(-5 - (-54)/u). Calculate h(k).
2
Let c(h) = -4*h + 2*h + 4*h**2 + h**2. Let n = 7968 - 7967. Calculate c(n).
3
Let k(l) = -l**2 + 7*l - 1. Let z be ((-2)/(-1))/(29/812). Suppose -z = -o - 7*o. What is k(o)?
-1
Let a(s) = s**2 + 3 + 7*s - s - s. Suppose -263*b - 2415 = 82*b. Calculate a(b).
17
Let h(g) = -5*g + 7. Let d(q) = 2*q - 3. Let z(u) = -14*d(u) - 6*h(u). Let f(k) = 17*k + 15 - 10 + 10*k**2 + 0*k**3 + k**3 + 6. Let l be f(-8). Determine z(l).
6
Let x(v) = -6*v + 12*v + 13 + 7*v + 4*v**2. Determine x(-4).
25
Let z = -188 - -288. Suppose 6*v + 4*v + z = 0. Let f be 26/6 + v/30. Let c(r) = r**3 - 5*r**2 + 6*r. Give c(f).
8
Let r = -4555 - -4572. Let l(i) = -i**2 + 17*i - 13. Calculate l(r).
-13
Let l(u) = u**2 + 18*u + 36. Let t(f) = 4*f**2 - 224*f + 629. Let r be t(53). Give l(r).
-41
Let w(s) be the second derivative of s**5/20 + 5*s**4/6 + 2*s**3 + 17*s**2 + 132*s - 2. What is w(-9)?
7
Let w(l) = 2*l + 4. Let u(p) be the third derivative of -7/6*p**3 - 11*p**2 + 0*p + 0 - 1/8*p**4. Let h(k) = -3*u(k) - 5*w(k). Calculate h(2).
-1
Let n(g) = -3 - 4 - 12*g - g**3 - 12*g**2 - 2 + 0. Let i = -53337 + 53326. Calculate n(i).
2
Let v(u) be the first derivative of 1/4*u**4 + 1/2*u**2 - 3*u**3 - 157 + 3*u. Calculate v(9).
12
Let b(u) = 7*u + 89. Let l be b(-17). Let q be ((-312)/l)/2 + (-2)/10. Let w(p) = p**3 - 5*p**2 - p + 1. Give w(q).
-4
Let a(j) = j**3 - j. Let f(c) = -11*c - 3*c + 4 + 3*c**3 + 2*c + 192*c**2 - 187*c**2. Let k(l) = -4*a(l) + f(l). What is k(3)?
-2
Let j(y) = -2*y**3 + 21*y**2 + 15*y + 30. Let x(b) = b**3 - 13*b**2 - 7*b - 15. Let c(d) = -3*j(d) - 5*x(d). Give c(-4).
-7
Let p(f) = f**3 - 8*f**2 + 12*f - 48. Let i(s) = -5*s**2 + 594*s + 126. Let m be i(119). Give p(m).
-13
Let f(h) be the first derivative of h**3/3 - 5*h**2/2 + 5*h + 2. Let d = 586 - 578. Suppose 3*o - 3*y = -3, 7*o = d*o + 2*y - 14. Determine f(o).
1
Let b(s) = -s**2 + 28*s - 37. Suppose -4*l - 7*l = 28*l - 1014. What is b(l)?
15
Let i be 12/42 - (-1128)/21. Let y = i - 53. Let x be ((-6)/2)/3 + y. Let r(v) = -v**3 + v - 2. Determine r(x).
-2
Let a be (-16)/(4 + (-11)/(88/64)). Let h(b) = -13*b + 35. What is h(a)?
-17
Suppose 101*q + 112 = 105*q. Suppose 51*v - q*v = -161. Let t(w) be the first derivative of w**4/4 + 8*w**3/3 + 2*w**2 - 8*w + 2. Determine t(v).
13
Let z(o) = o**3 - 12*o**2 + 10*o + 6. Let s = 4 + 2. Let y(v) = -2*v - v**3 - 6 + 3 + 6*v**2 + s*v + 5*v. Let i be y(7). Determine z(i).
-5
Let n be 6 + (-3 - (6 - 3)). Let d(f) = 2*f**3 - f**2 - 4*f + 6. Let k be d(n). Let z(o) = o**2 - 4*o. Give z(k).
12
Let x be ((-1)/(-11))/((-15)/(-165)). Let n(q) be the first derivative of 5*q**2/2 - 2*q - 16. Give n(x).
3
Let h(d) = d + 7. Suppose 5*x = 5*j - 75, -185*j = -184*j + 3*x - 27. Determine h(j).
25
Let v(q) be the first derivative of q**3/3 - 3*q**2/2 - 7*q + 1042. Calculate v(6).
11
Let x(z) = 2*z**3 + 3*z**2 - 1. Let t = -117 - -122. Suppose 4*i = -t*w - 0 + 49, 4*i + 42 = 2*w. Let y = w - 15. What is x(y)?
-5
Let x = -23 - -34. Suppose -x*i + 7*i = -240. Let q = i + -61. Let r(o) = 15*o**2 + o + 1. Determine r(q).
15
Let m(k) = 3*k - 11. Let x be m(4). Let a be (-26)/(-39) - (-20)/(-3). Let z be x + (-22)/(-4) - a/4. Let d(g) = g**3 - 7*g**2 - 11*g + 2. What is d(z)?
-22
Let m be 15*(-112)/80*1/(-3). Let y(v) = -v**3 + 10*v**2 - 16*v + 1. Give y(m).
36
Let q(p) = -3*p + 7. Let a(d) = -7*d**3 - d - 2. Let i(m) = 9*m - 6. Let b be i(1). Suppose b*k = -4 + 1. Let c be a(k). Calculate q(c).
-11
Let j = -104 - -120. Suppose 50 = 26*b - j*b. Let q(i) = 2*i. Give q(b).
10
Let d(z) = 18*z - 127. Suppose -16*h + 63 = -7*h. Let o be d(h). Let x(w) = 0*w**2 - 2*w + 0*w**2 - 1 - 6*w**2. Determine x(o).
-5
Suppose -q = -2*a + 15, -4*q + 3*a = 72 - 12. Let d(o) = o**2 + 18*o + 45. Give d(q).
0
Let b(o) = -16*o - 33. Suppose -722*i + 717*i = 45, 3 = -5*z + 3*i. Determine b(z).
63
Let a(k) = -k**2 - 11*k + 4. Let l be a(-11). Let x(j) = -43*j - 7. Let v(u) = 7*u + 2. Let d(m) = -6*v(m) - x(m). Determine d(l).
-1
Let v(w) be the third derivative of -w**4/4 + 55*w**3/3 - 1575*w**2. Calculate v(18).
2
Let a(d) = -d - 4. Let g be (3/(-9))/(4/(-72)). Let o be g/10 + (-441)/35. Let z be 26/(-5) - o/60. What is a(z)?
1
Let b(v) = -5*v - 1113 + 484 + 365 + 367. Determine b(14).
33
Let c(j) be the second derivative of -j**5/20 + 2*j**4/3 + j**3/3 + 2*j**2 + 824*j. Determine c(6).
88
Let j(i) be the second derivative of i**5/20 + i**4/2 + 11*i**3/6 + 5*i**2/2 - 29*i + 3. Give j(-4).
-7
Let f(t) be the first derivative of 3*t**2/2 + 10*t + 1164. Let q(a) = 16*a + 49. Let l = 1 + -12. Let r(i) = l*f(i) + 2*q(i). What is r(-9)?
-3
Let y(i) be the second derivative of i**4/6 + 2*i**3/3 + i**2 + 2*i. Let d be (5 - (6 + -2))*(2 + 1 - 4). Give y(d).
0
Suppose 200 = -163*u + 8*u - 420. Let v(x) = 8*x + 17. Let c(d) = -3*d - 6. Let f(q) = -17*c(q) - 6*v(q). What is f(u)?
-12
Let u(i) be the first derivative of -7*i**2 + 286*i - 5654. Calculate u(20).
6
Let s be ((-2)/(-2))/((-10)/12)*(-460)/(-184). Let g(j) = -2*j**3 - 5*j**2 - 7*j. Calculate g(s).
30
Let s(q) be the first derivative of -q**4/4 + 26*q**3/3 - 23*q**2/2 - 58*q + 2585. Calculate s(25).
-8
Let c(y) be the first derivative of y**4/4 - 7*y**3/3 + 4*y**2 - 12*y + 1. Let j be 15 + -6*21/14. Give c(j).
0
Suppose 52 = -27*g - 191. Let w(x) = 10*x**2 + 3*x**3 - 4 + 2*x**3 + 9*x - 4*x**3. What is w(g)?
-4
Let j(r) = 15*r + 10. Let y be j(12). Let a = -188 + y. Let p(s) be the second derivative of -s**3 - 2*s. Determine p(a).
-12
Suppose 4*m - 48 = -4*v, 6*m - v = 6 + 31. Let k(w) = w**3 - 8*w**2 + 2*w + 43. What is k(m)?
8
Let f be -6 - (114/(-95))/((-3)/(-10)). Let n(a) = a**3 + 5*a**2 - a - 6. Determine n(f).
8
Let m(b) = -8*b. Let p(h) = -5*h**2 - 4*h + 0*h**2 + 3*h + 0*h**2. Let r be p(2). Let x be r/18 - (-4)/18. Give m(x).
8
Let z(j) = -j**2 - 6*j + 7. Let b(c) = 9*c - 18. Let i(a) = -10*a + 19. Let t(q) = -5*b(q) - 4*i(q). Let k be t(4). Give z(k).
7
Let q be -3 + 0 + 5*(-2)/(-8)*4. Let c(m) = 3*m**3 + 4*m - 3*m**2 - m - 2 + 1. What is c(q)?
17
Let c = -1737 - -1742. Let l(x) = -2*x**2 - 11*x + 79. Calculate l(c).
-26
Let c(i) = -1 + 0*i + i - 5 - 4. Suppose -24 = -4*h - 4*t, -2*t + 24 = -5*h + 9*h. Suppose 0 = -z + h*z + 4*y - 46, 0 = 4*y - 16. What is c(z)?
-4
Suppose 0 = -96*o - 313 + 25. Let i(n) = -3 + 3 + 23*n - 16*n. Let s(t) = -8*t - 1. Let c(a) = o*s(a) - 4*i(a). Determine c(-3).
15
Let o(t) = -t**2 - 3*t - 4. Let i be o(-2). Let q be ((-18)/6 - 5/i)*-14. Let k(w) = 0*w - 18 + q - 11*w + 9. Calculate k(-2).
20
Let f(i) = i**2 + 9. Suppose 9*z - 310 = 4*z. Suppose 6*k - z = 4*k. S