Determine i(f).
4
Let a = 1508 + -1533. Let q(j) = j**3 + 25*j**2 - 3*j - 59. Determine q(a).
16
Let b(n) be the first derivative of n**3/3 + 3*n**2/2 - n + 301. Calculate b(2).
9
Let m(j) be the first derivative of -j**4/2 - j**3/3 + j**2/2 - j - 74. Calculate m(2).
-19
Let i = -6 + 0. Let s(t) = -t + 2. Let f(z) = 2*z - 5. Let w(n) = i*f(n) - 13*s(n). Suppose 3 - 18 = 10*q + 5. Calculate w(q).
2
Let s(y) = -y - 1. Suppose 0 = 5*u + 2*o - 83, 3*u + 3 = -o + 52. Let z = 8 - u. Let n be s(z). Let a(c) = -c**2 + 4*c + 6. What is a(n)?
-6
Let r(g) = 28*g - 44*g - 48 + 36*g - 175. What is r(10)?
-23
Let b(t) = -t - 6. Let i be 4 + 1 + (1 - -2). Let o(x) = i*x**2 - 5 + 3*x - 3*x - 10*x**2. Let g be o(0). What is b(g)?
-1
Let j(i) = -1. Let v(m) = 2*m**3 + 4*m + 18. Let l(d) = 3*j(d) + v(d). Let o(w) be the second derivative of l(w). Give o(1).
12
Suppose 10*f - 8*f = -12. Let m(c) be the second derivative of -c**4/6 - 7*c**3/6 - c**2/2 - 80*c. Calculate m(f).
-31
Suppose 5*m = 7 + 3. Suppose -30 - 30 = -4*b. Let t(o) = b - 14 - o - 2*o - 2*o + 10*o. What is t(m)?
11
Let q(d) = -3*d**2 + 9*d + 41. Let x = 8764 - 8767. Calculate q(x).
-13
Let r(z) = -3 - 11 - 3*z**3 - 14*z**2 - 3*z + 0*z**3 + 6*z**3. Let b(a) = -a**3 + 5*a**2 + a + 5. Let f(d) = 7*b(d) + 2*r(d). Determine f(7).
14
Let n(x) be the first derivative of -x**4/4 + 5*x**3 - 8*x**2 + 21*x + 613. What is n(14)?
-7
Let b be ((-1)/4)/(2 - (-85)/(-40)). Let k be b + -3 + (-5)/((-20)/(-4)). Let r(u) = -2*u**3 - 3*u**2 - u - 2. Give r(k).
4
Let l be 2/10 - (-1)/(-5). Suppose 9*r - 5*r = 0, 4*h - 5*r = 4. Let n(i) = 2 + 1 + 14*i - 13*i - h. Calculate n(l).
2
Let p(h) = 2*h**2 + 51*h + 26. Let s = -22763 + 22738. What is p(s)?
1
Let b be (-1804)/3936 - (-2)/3. Let c(p) be the third derivative of 0*p + 2*p**2 + 1/10*p**5 + 0 + 1/120*p**6 + b*p**4 - 1/6*p**3. Determine c(-5).
-1
Let s be ((-682)/124)/((-3)/6). Let r(p) = -14*p + 147. What is r(s)?
-7
Let b = -15004 - -15003. Let s(c) = -39*c - 33. Determine s(b).
6
Let c be (3/(-5))/(16 - (-2483)/(-155)). Let k(q) = q**2 - 30*q - 36. Calculate k(c).
-5
Let m(i) = i**3 + 10*i**2 + 15*i + 2. Suppose 0 = 10*b - 13*b - 2*o - 18, -5*o + 15 = 0. Give m(b).
10
Suppose -o - 41 = -3*j, -8*o - 21 = -11*o. Let s(a) = -2*a - 17. Determine s(j).
-49
Let z(f) = -14*f**2 - 6*f + 28. Let k(h) = -12*h**2 - 4*h + 23. Let q(m) = -4*k(m) + 3*z(m). Calculate q(-1).
0
Suppose -6*y + 119 = 77. Let g(f) be the first derivative of f**3/3 - 5*f**2/2 - 7. Give g(y).
14
Let o = 3 + -2. Let a(z) = -33*z**2 + z - 249. Let f(d) = 34*d**2 - d + 311. Let g(q) = 5*a(q) + 4*f(q). Calculate g(o).
-29
Let h(r) = -3 + r**2 + 4*r + 3*r - r. Let a(i) = i**2 - 2. Let t be a(-6). Let u = t - 40. Determine h(u).
-3
Let x be 4*(-6)/4 + 3. Let a(t) = 5*t**3 + 2*t**2 - 11. Let j(f) = -2*f**3 - f**2 + 6. Let v(n) = x*a(n) - 7*j(n). Give v(0).
-9
Let r(l) = -3*l + 9. Let x(w) = 12*w - 36. Let b(z) = 9*r(z) + 2*x(z). Suppose -2*d + 14 = h, h + 3*d + 210 = 229. Determine b(h).
-3
Let l(q) = -7*q**3 + 12*q**2 + q + 15. Suppose o - 5 = -2*u, -11*u - 4*o - 16 = -15*u. Let f(k) = 4*k**3 - 6*k**2 - 7. Let p(v) = u*l(v) + 5*f(v). What is p(7)?
-18
Let i(g) be the second derivative of -g**5/20 - 5*g**4/12 + 8*g**3/3 + 3*g**2/2 + 147*g + 6. Calculate i(-7).
-11
Let m(p) = 2*p - 17 - 17 + 31 - 10 - 7. Give m(9).
-2
Let q(s) be the second derivative of -s**4/12 - s**3/3 + 5*s**2/2 - 5*s. Let g = 8432 - 8432. Give q(g).
5
Suppose 0 = -2*u - 3*d + 11 + 35, -3*u - 5*d + 70 = 0. Suppose -4*p + 48 = 4*x, 5*x - u = -p + 8. Let f(q) = -q**3 + 7*q**2 + 9*q - 6. Determine f(p).
2
Let c(f) = 10985*f**2 + 11 + 2*f**3 - 22085*f**2 + 179*f + 11054*f**2. Calculate c(5).
6
Let x(q) = -q - 6. Let r(n) = 2*n + 12. Let w(o) = 6*r(o) + 13*x(o). Suppose -j + 6 = y - 65, -3*y + 355 = 5*j. Suppose 0 = -14*p - 69 - j. Calculate w(p).
4
Let m = 3894 + -467279/120. Let l(g) be the third derivative of 10*g**2 + 0 - 1/3*g**3 + 0*g + m*g**6 + 1/20*g**5 - 1/4*g**4. Calculate l(-4).
6
Let y be (-1)/(((-8)/66)/4). Let o = y - 24. Let a(q) = q**2 - 9*q - 3. Let c be a(o). Let k(z) = -z**3 - 2*z**2 - z - 4. Give k(c).
8
Let k be -10 + 2 - -1 - -4. Let n be (-36)/(-3)*k/6. Let t(c) = c**3 + 5*c**2 - 3*c + 2. Calculate t(n).
-16
Let s = 448 - 444. Let l(g) = s*g**2 + 12*g - 4*g**2 + 2 - 20*g + g**3 + 7*g. What is l(0)?
2
Let p(z) be the third derivative of -5*z**4/24 + z**3/3 - 2*z**2. Suppose 278 + 92 = 74*w. Determine p(w).
-23
Let y(i) = -9*i**2 + 4*i**2 + 16*i**2 - 4 - 3*i**2 - 9*i**2 - 6*i. Suppose -5*p - 10 = 20. Calculate y(p).
-4
Let b = 43 - 35. Let z = 36 - b. Suppose -9*y - z = -5*y. Let n(g) = -g + 9. What is n(y)?
16
Let r be ((-8)/16)/((-75)/50). Let w(n) be the first derivative of -17 - 1/2*n**2 - n + r*n**3. Give w(-3).
11
Let b(f) be the third derivative of f**5/60 - 5*f**4/6 - 89*f**3/6 + 1344*f**2. Give b(24).
7
Let g(k) = -2*k**2 + 16*k + 23. Let l = 847 - 838. Give g(l).
5
Let d(q) be the second derivative of q**5/20 - 3*q**4/2 - q**3/3 + 2*q**2 - 169*q. Determine d(18).
-32
Let u(i) = -i**2 + 13*i + 118. Let w(q) = 2*q**2 - 26*q - 258. Let c(a) = 13*u(a) + 6*w(a). Give c(12).
-2
Suppose -9*h + 43 = -2. Let f(o) = 1 + 6*o**2 - 3 - o - h*o - 7*o**2. Suppose 0 = 5*m - 6*u + 2*u + 55, 5*m + 50 = 3*u. What is f(m)?
-9
Let j(q) = -6*q**3 - 3*q**2 - 6*q - 2. Let c be j(-1). Let o = 14 - 4. Let g(s) = 0 + o*s + 3 - 5 - s**2. Calculate g(c).
19
Let o = -107 - -111. Let x(k) = 11*k - 2. Let p(t) = 13*t - 3. Let g(l) = o*p(l) - 5*x(l). What is g(4)?
-14
Let p(i) = 19 + 1 + 11*i - 38 - 37. What is p(5)?
0
Let t(z) = 4*z - 22. Let l(w) = w**2 - 110*w - 1183. Let q be l(-10). What is t(q)?
46
Suppose 0 = 2*u - 21 - 71. Let z = 47 - u. Let f(r) = r. Let i(h) = -8*h - 3. Let y(v) = z*i(v) + 6*f(v). What is y(-2)?
1
Let n(c) = 4*c + 6. Suppose -4*x + 2*b + 8 + 10 = 0, 1 = -b. Let o be x/(-8) + ((-27)/2)/3. Calculate n(o).
-14
Let m(l) = 65*l**2 - 6*l**3 + 113*l - 163*l + 5*l**3 - 16*l**2 + 101. Give m(48).
5
Let p(y) be the third derivative of y**6/120 - y**5/30 + y**4/24 - 23*y**3/6 - 190*y**2 + 10*y. Give p(0).
-23
Let p(l) = -9*l**2 + 0 - 6 - 2 - l**3 + 17. Let q be p(-9). Let u(m) = -m**2 + 9*m + 5. Give u(q).
5
Let h(c) = 2*c**2 + 9*c + 14. Let f(l) = -3*l**2 - 241*l + 405. Let q be f(-82). What is h(q)?
19
Suppose 80*f - 30 = 18*f - 30. Let z(i) = 0*i + i**3 + 10 + i - 2. Give z(f).
8
Let p(l) = l**2 + 7*l - 91. Let v be p(-14). Let k(q) = 0 + 5 + q**2 + 1 + 0*q**2 - 7*q. Determine k(v).
6
Suppose 5*g = -5*s + 330, 3*g - 8*s = -4*s + 219. Suppose -g*f + 66*f - 6 = 0. Let l(j) = j**2 - 3*j - 3. Calculate l(f).
7
Let w(t) = -9*t**3 + 2*t**2 - t. Suppose 2*b - 16 = -4*y, 5*y + 12*b - 17 = 8*b. Let v be -12*y/(-45) + 2/(-6). Determine w(v).
-8
Suppose -125*a + 287*a = 5184. Let i(q) = -11*q + 351. What is i(a)?
-1
Let p(f) = -2*f**3 + 2*f**2 + 4*f - 5. Let k(w) = -w + 6. Let m be 3/((2/(-10))/(28/(-105))). Let a be k(m). Let n be p(a). Let r(v) = 2*v. Give r(n).
-10
Let n be -6 + 1 + -3 + 1. Let g(v) = 3*v - 52. Let h(d) = d - 18. Let z(x) = -6*g(x) + 17*h(x). Determine z(n).
13
Let p(j) = -j**3 + 5*j**2 + 124*j - 461*j - 92 + 355*j. Determine p(4).
-4
Let r(z) be the first derivative of -z**6/360 + z**5/120 + z**4/6 - z**3/3 + 5. Let v(t) be the third derivative of r(t). Let d = 34 + -30. What is v(d)?
-8
Let h(n) = 7*n. Suppose 4*l = -5*r - 4 + 7, 2*l = 3*r + 7. Suppose 2*j + j = -l*m + 7, -22 = -2*j + 3*m. Suppose 3*w + j = -2*u, 2*w = -u - w - 4. Give h(u).
-7
Let u be 32/22 + (-750)/(-165) + -4. Let a(j) = 4 - 57*j**2 + 4*j**3 + 56*j**u - 5*j**3 - j**3 + j**3. Give a(0).
4
Let l = -286 + 288. Let i(o) = 34*o**2 - o - 18*o**l - 22*o**2 + 4 + 0 + 2*o**3. Give i(4).
32
Let p(j) = j**3 + 4*j**2 - 2*j - 4. Let r(l) = 6*l. Let i = 35 + -32. Let g be r(i). Suppose 13*w = g*w + 20. Determine p(w).
4
Let b(y) be the first derivative of -1/3*y**3 - 4*y + 2*y**2 - 127. Give b(4).
-4
Let a(g) = -7*g**2 - 12*g - 13. Suppose 29 - 14 = -3*w. Let u(h) = -11*h**2 - 19*h - 20. Let f(o) = w*u(o) + 8*a(o). Give f(3).
-16
Let d(b) = 44*b + 27*b + 40*b + 41 - 112*b. What is d(-8)?
49
Let z(a) = -257*a - 44. Let d(n) = 57*n + 1. Let i(v) = 5*d(v) + z(v). Calculate i(7).
157
Let i = -235 + 229. Let t be 260/91 + i/7. Let b(n) = -5*n**2 - 4*n - 6. Let