4*c**3/3 - c**2. Let w(y) be the first derivative of t(y). Let l = 65 - 66. Determine w(l).
-9
Let k be (-3 - 39/(-12))*-20. Let z(n) = n**2 + 1. What is z(k)?
26
Let i(j) = 5*j**3 + 15*j**2 - 2*j + 8. Let u = 1 - -6. Suppose -u*f = -3*f - 24. Let d(m) = m**3 + m**2 + m + 1. Let t(v) = f*d(v) - i(v). Give t(8).
-2
Let k(t) = 8*t + 625. Let m(a) = -23*a - 1667. Let h(b) = 8*k(b) + 3*m(b). Let y = 6 - 5. What is h(y)?
-6
Let s be (74 + -75)*(-4 + 4). Let u(t) be the second derivative of -t**3/2 + 7*t**2/2 + t. Give u(s).
7
Let u(q) be the first derivative of -q**3/3 - 13*q**2/2 - 14*q - 3150. Let v = 1 + -14. Determine u(v).
-14
Suppose -3*q - k + 15 = 0, 2*k = 2*q - 3*q. Let u(x) be the third derivative of x**4/24 - 2*x**3/3 + x**2 - 128. Calculate u(q).
2
Suppose 4*y + y - 3*a = 120, 0 = y + a - 24. Let n be -3*8/36 + y/9. Let c(v) = 19 + 7*v - n*v**3 - 9 - 9 - 4*v. Calculate c(-2).
11
Suppose 28 + 54 = 4*g + 2*k, 0 = -4*g - 5*k + 85. Suppose 27*o = g*o - 21. Let d be (7 + 8)*o/(-9). Let a(u) = 3*u - 3. Determine a(d).
12
Let l(x) = -x**2 - 19*x - 13. Let p be (-5)/6 + (-22)/(1584/(-60)). Give l(p).
-13
Let m = 552 + -310. Let r = m - 240. Let o(k) = 11*k - 2. What is o(r)?
20
Let r(u) = -5*u + 83. Let x = -18935 + 18951. What is r(x)?
3
Suppose -r + 10*s - 18 = 6*s, -2*s + 16 = 3*r. Let c = -3 + r. Let h(x) = 2*x + x - 2*x. Calculate h(c).
-1
Let g(m) = -23*m - 1. Suppose -47 = -5*v + 23. Suppose -71 = -v*y + 83. Suppose -9*c - 2 = -y. Determine g(c).
-24
Let a(f) = -f**2 - f + 51. Let c be 5*((-2)/(-7) + (-22 - (-14080)/700)). Determine a(c).
-5
Let n(j) = -j - 6. Let a(h) = h**3 - 5*h**2 + 3*h + 9. Suppose -k + 6*k - 73 = -w, -3*w - 21 = -k. Let u be 2*(-1 - -7)*5/k. Let s be a(u). What is n(s)?
-11
Let v(h) = -h**2 + 4. Let o be (-5 - (-12)/16)/((-1)/(-4)). Let w be (-1)/(2/(-2)) - (o + 14). Suppose g = -2*g + w*g. Give v(g).
4
Let i(r) = 203*r**3 + 47*r**2 - 48*r - 39. Let c(y) = 45*y**3 + 12*y**2 - 12*y - 10. Let h(g) = -9*c(g) + 2*i(g). Calculate h(13).
-1
Let t(c) = -c**2 - 2*c + 3. Let q be t(2). Let h(r) be the second derivative of r**4/12 + 4*r**3/3 + 6*r**2 - 17*r - 4. What is h(q)?
-3
Let m(f) be the second derivative of -f**5/20 + 3*f**4/4 + 7*f**3/2 + 8*f**2 - 10*f - 53. Calculate m(11).
5
Let m(r) = -733*r + 731*r + 8 - 6 - 26. Give m(-22).
20
Let r(m) = 7*m + 53 - 58 - 9*m**2 - m**2 + 0*m**2 + 4*m**2 + m**3. Let v(y) = 2*y - 3 + 2 - 5. Let q be v(5). What is r(q)?
-9
Let z(q) = -q**3 + 4*q + 3. Suppose 0 = -4*o - 4, -c = c + 4*o - 4. Let p(g) = g + 18. Let h be p(c). Let v be 3/(-2) - 11/h. What is z(v)?
3
Let p(z) = -3*z**3 + 7*z**2 + z - 3. Let n(i) = 17*i**3 - 37*i**2 - 8*i + 14. Let m(j) = 2*n(j) + 11*p(j). Calculate m(-2).
9
Let j be (-171)/27 - -11 - (-4)/(-6). Let c(r) = -6*r + 9. What is c(j)?
-15
Let k(n) = n**2 + 5*n - 12. Let r be k(4). Let y be (-6)/(r/(-64)*-2). Let d(f) = f**3 + 7*f**2 - 10*f + 2. What is d(y)?
18
Let a be -48 + 66 + (-15 - -3). Let o(c) = c**2 - 8*c + 19. Calculate o(a).
7
Let t = 198 + -179. Suppose 22 - 79 = t*r. Let m(y) = -y**3 - 4*y**2 - 1. Calculate m(r).
-10
Let s(y) be the first derivative of -y**4/4 + 10*y**3/3 + 15*y**2/2 - 40*y + 1429. Determine s(11).
4
Suppose f = -2*w + 22, 3*f - 77 = -10*w + 15*w. Suppose 4*a + f = -2*d, 0*d - 4*d + a - 12 = 0. Let u(t) = 3*t - 3. Give u(d).
-15
Let n(q) = q - 24. Suppose -3*t + 150 = -3*w + t, -3*t = 0. Let b = w - -49. Let k be (b + (-6)/(-4))*0. Calculate n(k).
-24
Let b(f) = -2*f**3 - 19*f**2 - 19*f - 97. Let i be b(-9). Let a(k) = -k**2 - 19*k - 69. Determine a(i).
15
Let x be (-21)/56 + 27*6/48. Let a(d) = 146 + d - 4*d + 3*d**2 - 147. Calculate a(x).
17
Let s(d) be the third derivative of -d**6/120 - 3*d**5/20 + d**4/3 + d**3/6 - d**2 - 349*d. Determine s(-10).
21
Suppose 0 = -2*d, 4*n - 32 = -12*d + 9*d. Let h(m) = m**3 - m - 11 + 2 - 1 - 7*m**2 - 7*m. Give h(n).
-10
Let w = -92 + 100. Let r(l) = -l**3 + 9*l**2 - 9*l + 12. Let o be r(w). Let b be (27/6)/(3/o). Let k(f) = -f**3 + 6*f**2 - 3*f + 9. Give k(b).
-9
Let i(m) = -m**3 - 5*m**2 + 7*m - 7. Suppose -10 = 2*f, f - 15 = 5*g - 0*g. Let q be 1/g + 7/(224/(-184)). What is i(q)?
-13
Let x(l) = -7*l**2 + 64*l - 52. Suppose 3*m + 3*z = 21, 63*m - 68*m - 3*z = -37. What is x(m)?
12
Let n(m) = m**3 + 7*m**2 - 6*m + 19. Suppose -2*a - 7*b + 5*b = 6, 4*a + 42 = 2*b. Let g be n(a). Let w(z) = -z**3 + 5*z**2 - 3*z - 1. Give w(g).
8
Let r(d) = -5 - 12 - 17*d**2 + 17 - 4*d + 16*d**2. Let o be (40/(-25))/(8/20). Determine r(o).
0
Let n(d) = -13*d + 80. Let m be n(6). Let j(g) = -18*g + 0*g**2 - 8*g - g**m + 20*g. What is j(-3)?
9
Let v(p) = -p**3 - 5*p**2 + 15*p - 8. Let j be v(-7). Let a be 18/45 + 156/j. Let d(l) = l**2 + 8*l - 13. Determine d(a).
7
Suppose 1 = -16*w + 17*w. Let q(x) be the third derivative of -13*x**4/24 - x**3/6 - 15*x**2. Calculate q(w).
-14
Suppose 0 = -2*h + 3*f - 39 + 21, 5*f = -3*h + 49. Let q(b) be the third derivative of 0*b - 1/2*b**h - 1/24*b**4 - 43*b**2 + 0. What is q(-2)?
-1
Let a(b) = -3*b - 2*b + 6 + 10 - 13 + 7*b**2 - b**3. Let s = -1690 + 1696. Determine a(s).
9
Let q(y) = y + 7. Let p be 174/10 + (-15)/(-25). Let v be 9/(p/4) + 40. Let w = -50 + v. Give q(w).
-1
Let y(p) = -3*p**2 + 17*p + 3. Let t(w) = -2*w**2 + 15*w + 2. Let m(j) = -5*t(j) + 4*y(j). Let k(b) = -3*b + 1. Let q(n) = 7*k(n) - 3*m(n). Calculate q(-1).
7
Let a(r) = 9*r**2 + 24*r + 3. Let q(w) = 5*w**2 + 14*w + 2. Let m(i) = 8*a(i) - 14*q(i). Give m(-3).
26
Suppose -p - p - 227 + 209 = 0. Let y(w) = -2*w**2 - 18*w - 3. Give y(p).
-3
Let v(y) = 10*y**3 + 3*y**2 + 1. Suppose 198*s - 193*s - 5*p = -25, s = 5*p - 21. What is v(s)?
-6
Suppose 0 = 5*o - b + 33, 4*o + 4*b = -0*o - 12. Let y(q) = 0 + 2 - 3 - 2*q - 7. What is y(o)?
4
Let h(j) = 20 - 475*j + 4 + j**3 + 0*j**2 + 8 + 479*j - 9*j**2. Calculate h(8).
0
Let h(u) = 2*u**2 + 18*u + 18. Let m be h(-9). Let n be ((-3)/m*2)/(-1)*9. Let v(r) = -23*r**2 - 1 + 0*r**3 - r**2 + r**n + 14*r**2. Calculate v(10).
-1
Let v(t) = t + 17. Let g be 6/(-4) - 11/(-2) - 0. Suppose 5*b = -r - 4 - 1, 4*b = -g. What is v(r)?
17
Let i(x) be the third derivative of 146*x**2 - 1/120*x**6 + 0 + 19/60*x**5 - 3/4*x**4 + 0*x + 1/3*x**3. Determine i(18).
2
Let j(i) = -1 - 51 - 180*i + 182*i. Give j(28).
4
Let g(j) = 17*j**2 + 16. Let c(i) = 28*i**2 - i + 33. Let o(n) = -3*c(n) + 5*g(n). Give o(-8).
21
Let d(o) be the third derivative of o**9/60480 + o**8/20160 - o**7/5040 + 91*o**5/60 - 3*o**2 - 14. Let k(w) be the third derivative of d(w). What is k(0)?
0
Suppose 2*h - 73 = -81. Let a be h - -4*(-4)/(-8) - -29. Suppose 2*v - 18 = 3*s, -v + 3 = -5*s - a. Let l(n) = -n - 1. Give l(s).
5
Let y(v) = -v + 8*v + 2 + 158*v**2 - 157*v**2. Let u(c) = -c**3 - 2*c**2 + c + 2. Let x be u(-2). Suppose x*n = -n - l, n + 10 = l. Determine y(n).
-8
Suppose -5*a - t = -7 - 4, -5*a + 13 = 3*t. Let u(j) = -j**2 - j**2 + j**a - 78*j + 71*j - 3 + 2. Give u(-6).
5
Let r = -296 - -303. Suppose 0 = 4*y - 2*p + r*p - 49, -3 = p. Let v(z) = -z**3 + 15*z**2 + 16*z - 6. Determine v(y).
-6
Let l(f) = f + 31. Suppose 45*h - 49*h = -d + 71, 0 = 3*d + 15. Determine l(h).
12
Let d(k) = 8449*k - 50698. Let v be d(6). Let b(x) = 10 - x**3 - x**2 - 4 - 5*x**2 + 2*x. Give b(v).
-34
Let u(f) be the first derivative of 5*f**4/12 - f**3/3 - 7*f**2/2 + 2*f - 105. Let v(p) be the second derivative of u(p). What is v(2)?
18
Suppose 5*u - 3*u = 0. Let d(o) be the first derivative of 1/2*o**2 + 6*o - 8. What is d(u)?
6
Suppose 2*w + 8 = 2. Let x(y) = 2*y**2 + 3*y + 4. Let q(t) = 3*t**2 + 3*t + 5. Let j(g) = w*q(g) + 4*x(g). What is j(3)?
1
Let o(r) = -69 - 26*r**2 + 29 + 27*r**2 + 40 + 3*r**3 - 11*r. Determine o(3).
57
Let i be (0 + 3)/((-48)/64). Let k be (-12)/(-18)*42/i. Let y(c) = -c**3 - 6*c**2 + 7*c - 10. What is y(k)?
-10
Let m(g) = -2*g**2 + 25*g - 62. Let x be m(9). Let b(d) be the third derivative of -d**4/8 - d**3/6 - 7*d**2. Determine b(x).
-4
Let n be ((-394)/72 - (-4)/18)*28/21. Let y(o) = -o**3 - 6*o**2 + o - 45. What is y(n)?
-3
Suppose -3*f = -3*n - 36, 0 = 3*n + 3*f - 7 + 19. Let a be 8/(-6)*1*(-24)/16. Let l(g) = 3 + 13 - 12 + g**a + 9*g. Determine l(n).
-4
Let z be (3/(-2))/((-5)/10). Let j(l) = -6 + 2 + 1 - 2 + z*l. Let i be 1/(-2)*1*(-1890)/189. Calculate j(i).
10
Suppose -7*i + 2049 = 2014. Let 