Suppose 648 = -35*p - 83*p + 10*p. Determine k(p).
3
Let x(m) = 2*m**3 + 24*m**2 - 2*m - 38. Let h be x(-12). Suppose 20 - 4 = -2*r. Let l = r - h. Let a(f) = -f**3 + 6*f**2 + 3*f - 3. Give a(l).
15
Let g(p) = 23*p - 90. Let b be (-7350)/(-1680) - 3/8. Give g(b).
2
Let o(u) = -u**3 - 7*u**2 + 19*u + 2. Let v(n) = -8*n**3 + 127*n**2 + 17*n - 25. Let x be v(16). Calculate o(x).
-7
Let x(b) = 6*b**2 + 1 + 2*b - 36*b**3 + 70*b**3 - 33*b**3. Let q = 1802 - 1807. Calculate x(q).
16
Let q(g) = -13*g**3 - 105*g**2 - 40*g + 47. Let l(f) = 2*f**3 + 17*f**2 + 6*f - 8. Let z(s) = 19*l(s) + 3*q(s). Suppose -w + 4*w = 21. What is z(w)?
-4
Let n = 16258 + -16263. Let c(s) = -11*s - 30. Calculate c(n).
25
Suppose 3*i + w = 6 - 56, 5*i - w = -86. Let j(b) = -45*b - 26*b + 54*b - 5*b**2 + 4 + 4*b**2. Let k be j(i). Let m(d) = -d**3 + 5*d**2. Calculate m(k).
16
Let x = -9078 - -9075. Let j(h) = -3*h**3 + 4*h + 2. What is j(x)?
71
Let l(a) = a**3 + a**2 - 2. Suppose -19*f + 213 - 191 = -8*f. Calculate l(f).
10
Let d(c) = 24 - 66*c**2 + 68*c**2 - 27 - 2*c. Let i(w) be the third derivative of w**6/120 - 7*w**5/60 - w**4/24 + 5*w**3/6 + w**2. Let n be i(7). Give d(n).
9
Suppose s + s = 2. Let a(u) = 37*u**2 - 3*u + 2. Suppose 0 = 89*i - 93*i - 4. Let z(m) = 8*m**2 - m + 1. Let j(f) = i*a(f) + 3*z(f). What is j(s)?
-12
Let s(q) = -q + 2*q - 3*q + 8. Suppose 2*i = 4*i + 5*p - 16, -3*i + 4*p + 24 = 0. Suppose 0 = i*j - 109 + 45. Calculate s(j).
-8
Let o(b) = 3308*b + 3198*b - 90 - 6504*b. Give o(41).
-8
Let r(y) = -11 + 27*y + y**3 - 75*y + 11*y + 2*y**2 + 17*y + 13*y. Determine r(-4).
-15
Let p(g) = -g**3 - 9*g**2 + 2*g + 21. Let i be p(-9). Let x(z) = z - 127*z**i - 1 + 7*z**2 - 124*z**3 + 7 + 252*z**3. What is x(-7)?
-1
Let j(n) = 0*n + n**2 - 13 + 24 - 11*n. Suppose 84 = 5*x + 3*m + 37, 2*x - 2*m - 22 = 0. Give j(x).
1
Let n(l) = -13*l**2 - 129*l + 96. Let w(m) = -3*m**2 - 30*m + 24. Let p(j) = 2*n(j) - 9*w(j). Give p(2).
4
Let z(d) be the third derivative of -d**6/30 - d**5/12 + d**4/4 - d**3/3 + 1766*d**2. Give z(2).
-42
Let o = -6970 + 6972. Let n(r) be the first derivative of -1/2*r**o + 21 + 0*r. Calculate n(2).
-2
Let p(h) = -26*h + 6 + 31*h + 2 - 4 - 11*h. Calculate p(-11).
70
Suppose 5*b - 6 = 2*a, 5*b - 6 = a + b. Let z(u) = -u**3 - 9*u**2 + 25*u**a - 10 + 2*u - 8*u**2. Give z(8).
6
Let o(x) be the first derivative of x**3/3 - 9*x**2/2 - 31*x - 5088. What is o(12)?
5
Let u(b) = -7*b**3 - 19*b**2 - 9*b - 10. Let m(h) = -3*h**3 - 9*h**2 - 5*h - 5. Let s(d) = -5*m(d) + 2*u(d). Let v = 58 + -50. Suppose -v = 9*l + 46. Give s(l).
-1
Let p(a) = a**3 - 2*a**2 - 2*a - 3. Suppose i = 9*i + 6416. Let u = i - -805. Calculate p(u).
0
Suppose -p = 4*k - 9, 0 = -k + 26*p - 30*p + 6. Let n(l) = 3*l - 16. Let h(s) = 4*s - 13. Let m(w) = k*n(w) - 3*h(w). Give m(-3).
25
Let m(b) = -5*b**3 + 10*b**2 - 2*b - 13. Let h(z) = -13*z**3 + 21*z**2 - 3*z - 21. Let r(f) = 2*h(f) - 5*m(f). Determine r(-8).
-9
Let z be 19/(-20) + 262/(-5240). Let d(o) = 2*o**2 + 5*o - 4. Let q(k) = -4*k + 3. Let x(w) = -3*d(w) - 4*q(w). Determine x(z).
-7
Let i(q) = -q**3 + 9*q**2 - 7*q + 2. Suppose 4*u - 5*y = 24, u + 30 = 6*u - 2*y. Determine i(u).
68
Let g(n) be the second derivative of -13*n**3/6 + 27*n**2/2 + 2336*n - 2. What is g(2)?
1
Suppose -8 = 5*v - h, -h = -5*v - 5*h - 18. Let f be v + (-58)/(-2) + 3/1. Let p = f + -25. Let s(d) = -d**3 + 3*d**2 + 8*d - 6. Give s(p).
-16
Let h = 73 - 176. Let w = 97 + h. Let s(v) = 3*v + 3*v + v**2 + 6*v - 3 - 7*v. Determine s(w).
3
Let g = 382 + -389. Let j = 1 - -1. Let s(r) = -j - 13 + 2*r - 3*r. Give s(g).
-8
Let l be ((-1)/(-1))/((-4)/288*-6). Suppose 0 = -3*r + 6 + l. Let i(m) = -m**3 + 5*m**2 + 4*m - 3. Give i(r).
-15
Let k(v) be the first derivative of -v**5/60 - 5*v**4/24 + 5*v**3/6 - 26*v**2 - 122. Let s(z) be the second derivative of k(z). Determine s(-6).
-1
Let l be (-8)/(-6)*(6/4 - 0). Let a(h) = -4*h**2 - 3*h + h + 5*h**l + 1 + 6*h. Calculate a(-3).
-2
Let w be ((-63)/35)/((-1)/5). Let y = w - 10. Let i(l) be the first derivative of -5*l**3 - l**2/2 - l + 38. Give i(y).
-15
Let b = 80813 - 80830. Let v(n) = 2*n - 15. Let j(h) = 9*h - 60. Let y(p) = 6*j(p) - 26*v(p). Calculate y(b).
-4
Let m(f) = 7*f + 20. Let s(u) = u + 20. Let r(a) = 2*m(a) - 3*s(a). What is r(6)?
46
Let k(t) = 17*t - 3. Let i(w) be the second derivative of 0 + 1/2*w**2 - 1/6*w**3 + 13*w. Let d(r) = 2*i(r) + k(r). What is d(1)?
14
Let c = 9 - 12. Let g(l) be the first derivative of -l**5/20 + l**3/2 + 2*l**2 + 15*l + 37. Let i(z) be the first derivative of g(z). Calculate i(c).
22
Suppose 24 = 13*b + 63. Let w(u) = -u + 9. Let h be w(b). Let d(a) = -a**3 + 13*a**2 - 14*a + 14. Calculate d(h).
-10
Let r(l) = -8982 + 9206 - 9*l - 6*l. Calculate r(15).
-1
Suppose -w + 3*m + 3 = -2*w, -3*w + 41 = -m. Let z be (w/5)/(((-9)/(-10))/(-9)). Let j = z + 18. Let n(o) = -3*o - 7. Calculate n(j).
11
Let n(h) = -2*h + 11. Let i be n(6). Let g(r) = 8*r**2 + r - 1. Let m be g(i). Let b be (4 + -1)/(-6)*m. Let a(j) = -j**3 - 2*j**2 + 3*j + 2. Give a(b).
2
Let i(p) = -4*p - 131. Let a(x) = -x**3 - 12*x**2 + 19*x + 295. Let b be a(-11). Calculate i(b).
9
Let j(f) = -24*f**2 + 7*f**2 + 9*f - 2*f**2 + 12*f**2 + 8*f**2 - 18. Calculate j(-13).
34
Let u be ((-108)/(-24) + -4)/(1/(-18)). Let i(y) = -2*y**2 - 19*y - 5. What is i(u)?
4
Let y be (6 - 2) + 9 + (-10)/1. Let i(d) = -2*d - 83 + d**2 - 75 + 162. Give i(y).
7
Let w(j) be the first derivative of -j**2 + 3*j + 8444. What is w(11)?
-19
Let y(s) be the third derivative of 1/15*s**5 - 1/120*s**6 + 5/6*s**3 + 1/12*s**4 + 2*s**2 + 2 + 0*s. What is y(5)?
-10
Suppose -3*u = 2*u - 40. Let p(d) be the second derivative of -d**5/20 + 7*d**4/12 + 4*d**3/3 + 3*d**2 + 14239*d. Determine p(u).
6
Let z(y) = y**2 - 5*y + 6. Let f be z(4). Suppose f*c + 2*c - 24 = -2*d, 4*c - 12 = d. Let o(b) = b**2 + 7*b - 6. Calculate o(c).
38
Suppose -74*r = 20*r - 1786. Let v(k) = k**3 - 20*k**2 + 19*k + 29. What is v(r)?
29
Let o(d) = 7*d**2 + d. Let r = -348 - -397. Suppose -6 = 43*u - r*u. Give o(u).
8
Let x(g) = g - 8. Suppose -3*v - 23 = -2*j, 4*j + 2*v + v = 1. Suppose -j*f + 6 = -3*f. Calculate x(f).
-2
Suppose -552*w + 556*w + 12 = 0. Let p(u) = u**3 - u**2. Let o(b) = -7*b**2 + 4*b**3 - 3*b**2 - 4 + b + b**2. Let n(h) = w*p(h) + o(h). Calculate n(6).
2
Let r(m) = m**3 + 43*m**2 - 49*m - 229. Let i be r(-44). Let g(h) = 65*h - 21*h - 20*h - 22*h. Give g(i).
-18
Let u(i) = 2*i**2 + 8*i + 8. Suppose 1227*v = 1178*v - 294. Determine u(v).
32
Let t(c) = -7*c - 9. Let b = 5506 - 5509. Give t(b).
12
Let j be -4 - (-1 + 4 + -11). Let r(c) = j + 0*c - 3*c + 4*c + 2*c. Suppose 8*d = -2*d + 30. Determine r(d).
13
Let p(q) = 3*q - 103. Let i(x) = -3*x + 1. Let n(m) = 6*i(m) - p(m). Let v be n(5). Let d(k) = k**3 - 2*k**2 - 10*k + 6. Give d(v).
-2
Suppose -2*f + 101 = 5*s, 4*f + 18 = 30. Let m(t) = t**3 - 22*t**2 - 13*t**2 + 47*t**2 + 3 - s*t**2. Give m(7).
3
Let u(y) = 6*y - 2. Let o be u(1). Let g(i) = -2*i**2 - 8 + 7*i**2 - 66*i - o*i**2 + 65*i. What is g(-6)?
34
Let m = 49 + -44. Let b(u) = 12 - 6*u + m*u - 3. Give b(13).
-4
Let l(c) = 4*c - 3. Suppose 5*f - 13 = 3*h, -3*f = 15*h - 16*h - 11. Suppose h*j + 31 = 11. Calculate l(j).
-23
Let a(x) be the second derivative of 1/20*x**5 + 0 + 21*x + 0*x**4 - 11*x**2 + 1/6*x**3. Determine a(0).
-22
Let p(l) be the second derivative of l**3 - l**2/2 + 2*l. Suppose -3*b + 3*z - 13 = -5*b, -4*b + 3*z + 17 = 0. Suppose 2*x + b = 1. What is p(x)?
-13
Let i(t) = 3*t + 15. Suppose -4*b + j + 47 = 2*j, 3*b - 21 = 4*j. Calculate i(b).
48
Let l be (-3 + 5)*3/2. Suppose -l*q - q + 4 = 0. Let g(d) = 2*d**2. Calculate g(q).
2
Let b(l) = -35*l**2 + 128 + 36*l**2 - 3*l - 131. Let s = 9 - 6. Let o(v) = -v**3 + 4*v**2 - v - 3. Let i be o(s). Determine b(i).
-3
Let z(l) be the second derivative of -l**3 + 16*l**2 + 8615*l. What is z(3)?
14
Suppose -98*m + 1408 = -320*m - 1256. Let p(z) = z**3 + 12*z**2 + z - 4. Give p(m).
-16
Let i(a) be the first derivative of -21*a**4/4 + a**3/3 - 3*a**2/2 + 2*a + 2. Let v be i(1). Let u be (-96)/v - (-16)/(-28). Let t(c) = -c + 1. What is t(u)?
-3
Let g be (-7 - 198/(-24))*-8. Let m = g - -2. Let d(s) = -s**2 - 6*s + 7. Determine d(m).
-9
Let l(m) = m - 1. Suppose u - 28 = 3*j + 5*u, 2*u = -j - 10. Let t b