What is k(4)?
2
Let h(d) = d + 3. Suppose -100 = -6*k + 8*k. Let n = k - -46. Determine h(n).
-1
Suppose -5*h + 4*b + 18 = 60, h - 3*b + 15 = 0. Let t(d) = d - 3*d + 0*d**2 + 7*d + 7*d**3 - 8*d**3 - 5 - 5*d**2. Calculate t(h).
1
Let k be (-24)/(-6) + (-1)/1. Let n(a) = -2*a**2 + 2*a**3 + 2*a**3 - k*a**3 - 3. Let p be n(3). Let h(b) = -b**3 + 6*b**2 + 3*b - 7. Give h(p).
11
Let a be (-51)/(-5) + (-8)/40. Let u(o) = -a*o**2 - 5 - 5*o - 2*o + 11*o**2. Calculate u(7).
-5
Let p(c) = -3 + 2 + 6*c**2 + 0*c + 0 - c. Determine p(2).
21
Let y(o) = o**2 + 11*o - 8. Suppose -a + 5 = 5*d, d = 3*a + 4 + 13. Suppose -s = 3*v, 0 = -d*s + 7*s + v + 56. What is y(s)?
4
Let i(j) = 2*j + 3. Let n(w) = -w - 3. Let x(y) = 2*i(y) + 3*n(y). Suppose 35 = 7*u - 2*u. Let h = 13 - u. Give x(h).
3
Let d(k) = -6*k + 5. Suppose 0 = 5*s - i - 33, -166 = -3*i - 160. What is d(s)?
-37
Let y(a) = a**2 + 7*a + 6. Let w(g) = 35*g**3 - 4*g - 4. Let k be w(-1). Let d = -39 - k. Calculate y(d).
-6
Let a(p) = -p**2 + 18*p + 8. Let b(v) = -v - 2. Let l(r) = a(r) + 6*b(r). Determine l(12).
-4
Let m(z) = 7*z - 9 + 10 - 8*z. Suppose 3*j + 20 = -2*j. Give m(j).
5
Let t(v) = v**3 - 6*v**2 + 6*v - 3. Let h be 1 + (-8)/12*3. Let l = h + -23. Let i = l + 29. What is t(i)?
2
Let x(c) be the third derivative of -28*c**2 + 0 + 1/60*c**5 + 0*c**4 + 0*c - 1/6*c**3 + 1/24*c**6. Determine x(-1).
-5
Suppose -12 = 10*w - 16*w. Let g(m) = -9*m**3 + 2*m - m + 8*m**3 + 2*m**w - 3*m**2 + 8. What is g(0)?
8
Let t(h) = 4*h**3 - 15*h**2 + 4*h - 10. Let x(m) = 5*m**3 - 16*m**2 + 2*m - 11. Let u(j) = -3*t(j) + 2*x(j). Determine u(6).
-4
Let b(z) be the second derivative of -7*z**3/6 - 7*z**2/2 - 13*z - 1. Determine b(-3).
14
Let s(w) = -2*w - 10. Suppose -10*o + 15*o = -3*d - 58, -o - d - 12 = 0. Give s(o).
12
Let l(f) be the first derivative of -f**3/3 - 7*f**2/2 - 4*f + 188. Give l(-6).
2
Let m(d) = 0 - d + 0*d - 2 - 1. Suppose l - 3*o + 0*o = -12, 4*l + 3*o - 12 = 0. Calculate m(l).
-3
Let m(j) = -j**2 - 5*j + 2. Let p be (-1)/(-4) + (-385)/20. Let c = 14 + p. Give m(c).
2
Let l = 2 - 0. Suppose f - 9 = c - l*f, 5*c + f = -45. Let w = 15 + c. Let z(d) = -d**3 + 5*d**2 + 6*d - 7. Determine z(w).
-7
Let h(u) be the third derivative of -u**5/60 - u**4/12 + 2*u**3/3 + 109*u**2 - 2*u. What is h(-3)?
1
Let w(b) = 6 - 1 - 6 + 13 + 8*b - b**2. Give w(10).
-8
Let h(g) = g**2 + 9*g - 38. Suppose 0 = 4*d - 5*q + 48, 4*d = 3*q - 42 - 6. What is h(d)?
-2
Let w(i) = -2*i**3 - 19*i**2 - 6*i + 31. Let d be w(-9). Let f(b) = -3*b + 10. What is f(d)?
-2
Let g = -87 + 38. Let a = g + 55. Let r(y) = -5 + y + 3 - y**2 + 7*y - 7. What is r(a)?
3
Suppose 2*i = -2*i. Suppose -5*m - 4*w + 8 = -w, -m - w + 2 = i. Let z(q) = -3*q**3 - q**2 + 1. Determine z(m).
-3
Let t(v) = -v**3 + 4*v**2 - 3*v - 1. Let o(b) = -b**2 - 10*b - 9. Let w be (18/(-4))/((-1)/(-2)). Let m be o(w). Let d = 3 + m. Determine t(d).
-1
Let x(b) = -b**2 - 10*b. Let o be x(-6). Let q be (-1 - -2) + -1 + 1. Let t be (o/(-32))/(q/8). Let n(g) = -g + 4. Determine n(t).
10
Let n(w) be the first derivative of w**4/24 - w**3/2 + 3*w**2/2 - 8. Let o(f) be the second derivative of n(f). Calculate o(7).
4
Let a(i) = -i**2 - 9*i + 11. Suppose -437*c = -444*c - 77. What is a(c)?
-11
Let t(l) = l**3 - 4*l**2 - 2*l + 4. Let g be 12/30 + 656/10 + 0. Let k be -1 + (2/(-3))/((-11)/g). Give t(k).
-11
Let z(b) = 2*b**2 - 2*b + 3. Let q(t) = 2*t**2 + t. Let s be q(-4). Let a = -16 + s. Let m(w) = -w + 14. Let c be m(a). Give z(c).
7
Suppose -2*j = -5*t + 3*j + 15, 4*t - 5 = -3*j. Let o(w) = -w + 3*w**3 + 8*w**t + 2 - 8*w**2. Give o(-2).
-20
Let u(p) = 2*p + 13. Let h = 193 - 201. Calculate u(h).
-3
Let b be (-5)/(-1)*8/(-10). Let m(o) = o + 1. Let n(p) = 2*p + 2. Let h(g) = -5*m(g) + 2*n(g). Determine h(b).
3
Let t be 33*((-42)/9)/(-7). Let x = 20 - t. Let o(a) = 3*a + 3. Determine o(x).
-3
Let d(u) be the first derivative of -u**3/3 + 15*u**2/2 - 10*u - 261. Give d(9).
44
Let k(h) = -h**3 - 5*h**2 + 6*h + 7. Suppose -3*v + 85 = -4*n + 2*v, v + 10 = -n. Let r be ((-12)/(-10))/((4 + -1)/n). What is k(r)?
7
Let w(l) = -40*l - 46. Let p(a) = -17*a - 23. Let z(i) = -7*p(i) + 3*w(i). What is z(7)?
16
Let i = -4 - 8. Let y be ((-1)/2)/((-6)/i) - 1. Let c(l) = -8*l. Give c(y).
16
Let y(w) = -w**3 + 6*w**2 + 11*w + 12. Let p(j) = -j**3 + 7*j**2 + 11*j + 11. Let h(k) = -4*p(k) + 3*y(k). Determine h(11).
-8
Suppose 5*z - k + 80 = 0, 3*z + 2*k + 24 = -24. Let t(s) = s**3 + 16*s**2. Give t(z).
0
Let i(r) = -4*r**2 - 5*r + 2*r**3 + 4*r**3 - 5*r**3 + 0*r**3 + 4. Let g be (-5 + 1)*26/(-4). Suppose -6 + g = 4*v. Give i(v).
4
Let f = -16 + 23. Let o(u) = -u**3 + 7*u**2 + 0*u**3 - 133 - 4*u**3 + 4*u**3 + 130. What is o(f)?
-3
Let k be 594/48 + (-9)/24. Suppose b + k = -3*b. Let v(c) = c - 3. What is v(b)?
-6
Let j = 113 + -70. Let f be 2/(-11) - 2*j/11. Let m(z) = -z**2 - 8*z - 4. Calculate m(f).
-4
Suppose 0 = -2*q - 10, -3*x + 4*x - q - 7 = 0. Let c(r) = 2*r**2 + 3*r**x - 3*r**2 - 1. Give c(-1).
1
Let h(c) = c**3 - 7*c**2 + c - 4. Let s = -3 - -2. Let b(z) be the second derivative of -3*z**3/2 - z**2 - 12*z - 1. Let t be b(s). Calculate h(t).
3
Let u be 20/30*147/(-2). Let h = u + 28. Let n = h + 18. Let y(q) = -q + 2. What is y(n)?
5
Let q(f) be the second derivative of -7*f**5/10 + f**4/12 + f. Let m(o) = -41*o - 1108. Let b be m(-27). Give q(b).
15
Let w = -1 + -5. Let p = 12 + w. Suppose -2*c + 2 = p. Let f(j) = -2*j**3 - 3*j**2 - j + 2. Give f(c).
8
Let m = -4949 - -4942. Let h(i) = -2*i - 3. Let c(f) = f + 1. Let x(l) = 5*c(l) + 2*h(l). Give x(m).
-8
Let u(q) be the second derivative of -q**5/20 - 5*q**4/12 + q**3/6 - 4*q**2 + 486*q. Determine u(-6).
22
Let g be ((-40)/(-14))/((-4)/14). Let t(v) = 3*v + 7 + 1 - 2*v + 1. Calculate t(g).
-1
Let j(s) = 17*s + 2 - 2*s - 14*s. Calculate j(-2).
0
Let c(t) = -t + 4. Let n be 48/10 + (-6)/(-30). What is c(n)?
-1
Let o(y) = -y**2 - 2*y - 1. Suppose 4*f + 2 - 1 = 3*l, f = -l - 2. Determine o(f).
0
Let m(u) = 2*u**3 + 27*u**2 + 20*u + 23. Let o(n) = n**3 + 13*n**2 + 10*n + 11. Let q(l) = 3*m(l) - 7*o(l). Give q(-9).
1
Suppose -4*i = -3*k + 12, 0*k + k + 5*i = -15. Let x(a) = -a**2 + 4*a + 2. Let p(r) = -2*r**2 + 9*r + 4. Let h(j) = 3*p(j) - 7*x(j). Give h(k).
-2
Let c(l) = -l**3 - 10*l**2 + 12*l + 14. Let d(z) = -8*z + 165. Let y be d(22). Determine c(y).
3
Let a(s) = s**3 - 8*s**2 + 3*s + 6. Let w(d) = 15*d + 412. Let m be w(-27). Calculate a(m).
-22
Let t(d) = -d**3 - 9*d**2 + 9*d + 10. Let p(c) = -c**3 + 9*c**2 + 23*c - 21. Let h be p(11). Calculate t(h).
20
Let m(z) = z**2 + z + 1. Let n(t) = -t**3 + 12*t**2 + 4*t - 1. Let b(k) = -5*m(k) + n(k). Give b(7).
-13
Let p(q) = -q**2 + 13*q - 8. Suppose -c = -4*c + 2*t + 38, 4*t + 6 = -c. Determine p(c).
22
Let b(l) = 6*l + 1. Let y = 24 - 21. Suppose 20 = -4*p - 4*t, 21 = -p - 2*t - y*t. Give b(p).
-5
Let s(w) be the second derivative of w**5/20 + w**4/6 - w**3/6 - w**2 + 2*w. Let k be s(-2). Let p(f) = f**3 - f**2 + 21. What is p(k)?
21
Let d(j) = -j**2 + 3*j - 3. Let a be (-6)/(-54) + (-78)/(-27). Calculate d(a).
-3
Suppose -14*m = -73 + 101. Let v(b) be the third derivative of -b**4/6 - b**3/3 - b**2. Calculate v(m).
6
Let p(w) = w**3 - 3*w**2 - 5*w. Let h(f) = 6*f - 152. Let x be h(26). Determine p(x).
-4
Let p(a) = -a**3 + 11*a**2 - a + 11. Let c = 573 + -562. Determine p(c).
0
Let x(s) be the first derivative of -s**4/4 - 14*s**3/3 - 7*s**2 - 19*s + 342. What is x(-13)?
-6
Let b(y) = -y + 8. Suppose -80 = -155*o + 147*o. Calculate b(o).
-2
Let p be 2/3 - (-300)/(-18). Let k = p + 22. Let y(i) = i + i - k*i + i. Determine y(-2).
6
Let s(w) be the third derivative of -w**6/24 - w**5/60 - w**4/12 - w**3/6 + 95*w**2 + 1. Determine s(-1).
5
Let t(n) = n - 8. Let l(i) = 0*i + 15 + 6*i - 8*i. Let y(v) = -6*l(v) - 11*t(v). Let r be y(3). Let d(f) = 5*f + 1. Determine d(r).
6
Suppose -s = s - 4*n + 4, -5 = -n. Let x(u) = 2 - 2 + 12*u**2 + 6 - 14*u**2 - s*u. What is x(-6)?
-18
Let m(h) = 14*h**3 - 6*h**2 + 38*h - 2. Let t(j) = 5*j**3 - 2*j**2 + 14*j - 1. Let q(f) = -4*m(f) + 11*t(f). Let r = 3 + 0. What is q(r)?
-6
Suppose -7*o + 8*o + 3 = 0, 3*t + 4*o + 27 = 0. Let h(n) = -6*n - 21. What is h(t)?
9
Let d(c) be the third derivative of -c**4/12 - c**3/2 + 8*c**2 + 3*c. What is d(-7)?
11
Let m(i) be the fi