What is k(f)?
-5
Let v(b) = -8*b - 4. Let a(k) = k**2 + 10*k - 28. Let f(c) = 4*c**2 - 34*c + 4. Let h be f(8). Let d be a(h). Give v(d).
28
Let u(s) be the first derivative of s**4/2 + 14*s**3/3 + s**2/2 + 16*s + 2172. Calculate u(-7).
9
Let y(p) be the second derivative of -p**6/120 - 3*p**5/20 - 7*p**4/24 + p**3/2 - 45*p**2/2 - 4*p - 1. Let t(u) be the first derivative of y(u). What is t(-8)?
-5
Let b(u) be the third derivative of 9*u**4/8 - 28*u**3 - 1489*u**2. What is b(6)?
-6
Suppose -9 - 3 = -4*y. Let u(c) = c + 1. Let j be u(1). Let s(r) = 16 + 25 + r**2 + 2*r - 2*r**j - 39. Give s(y).
-1
Suppose 107*a - 49*a + 66*a = 496. Let g(d) = d**3 + 3*d**2 - 5*d + 10. Let l(q) = 2*q**3 + 5*q**2 - 10*q + 19. Let o(u) = 11*g(u) - 6*l(u). What is o(a)?
0
Suppose 55 = 264*x - 275*x. Let c(p) = -9*p - 42. Determine c(x).
3
Let j(p) be the first derivative of p**3/3 + 5*p**2 + 20*p + 4392. Calculate j(-14).
76
Suppose 2*s = 2*l + 7 + 5, s - 4*l - 9 = 0. Let v(b) = -4*b**2 - 4*b + 12. Let z(p) = -p**2 + p + 1. Let t(f) = -v(f) + 5*z(f). Determine t(s).
13
Let n(h) = h**2 - 14*h + 1. Let g(u) = 9*u**3 + u**2 - 68*u + 68. Let d be g(1). What is n(d)?
-39
Let z(r) = 0*r - 15*r**2 - 1 + r + 1. Suppose -9*g + 116 = -46. Suppose q = -5*p - 19, 2*q + 0*p - g = 4*p. Determine z(q).
-14
Let y(d) = -2*d**3 + 4*d**2 - d + 1. Let q(w) = -w**2 + 156*w - 2600. Let o be q(19). What is y(o)?
-20
Let l(g) = 3*g**2 - 27*g + 8. Let u(i) = -i**2 + 9*i - 3. Let q(c) = -2*l(c) - 7*u(c). Let f = 304 - 16. Suppose f*b = 290*b - 18. Determine q(b).
5
Let d(x) = x**2 + 16*x + 23. Let a(n) = -n**2 - 13*n - 18. Let q(c) = 3*a(c) + 2*d(c). Determine q(-7).
-8
Let a(b) = -3*b**3 + b**2 + 1. Let y be a(-2). Let j = y - 11. Suppose -8*r + 2*r + j = 0. Let n(o) = -o**2 + 3*o - 4. What is n(r)?
-4
Suppose -4*y + 2*u - 7 = 5*u, 0 = y - u + 7. Let j(h) be the first derivative of 0*h + 3/2*h**2 - 1. What is j(y)?
-12
Let m be (12/18)/((-3)/693 + 7/(-77)). Let s(x) = -x**3 - 7*x**2 - 2*x - 15. Calculate s(m).
-1
Let a(r) = -r**2 - 2*r. Suppose -4*f + 2*q = -114, 10*q + 117 = 4*f + 7*q. Let s be 2/((-6)/f) - -1 - -4. Give a(s).
-8
Let w(p) be the third derivative of -2*p**4 - 38*p**2 + 8. Determine w(-1).
48
Let g be (-3)/(((1 - 4) + 2)/1). Let t be ((-4)/g)/(80/(-15) + 4). Let u be -4 - (t - 0 - (-1 - -2)). Let r(s) = -2*s - 4. Give r(u).
4
Let c(n) = 1. Suppose 0 = 54*r - 3130 + 2860. Let u(v) = 4*v + 1. Let f(h) = 5*h + 1. Let m(d) = 5*f(d) - 6*u(d). Let k(b) = r*c(b) + 5*m(b). Determine k(-1).
-5
Let b(n) = 7*n + 0*n - 2218 - 6*n + 2212. Let l(h) = h**2 + 2. Let v be l(0). Suppose 3*a - w = -0*w - 11, -23 = 3*a + v*w. Give b(a).
-11
Suppose 0*s = -2*s - 4. Let h(y) be the second derivative of -17*y + 3 + 0*y**2 - 1/3*y**3 + 1/3*y**4. Calculate h(s).
20
Suppose -3*z - 33 = -3*d, -4 = -d + 2*d + 2*z. Let f(o) be the second derivative of 38*o - 1/2*o**2 - 5/6*o**3 - 1 + 1/12*o**4. Give f(d).
5
Suppose -3*o + 20 = o. Let v(z) be the second derivative of -z**4/6 + 4*z**3/3 - 3*z**2 + 134*z - 8. What is v(o)?
-16
Let d(r) = -r**2 + 6*r + 5. Let b(w) = -w**3 + 11*w**2 + 13*w - 6. Let i be b(12). Let n be d(i). Let m(p) = -3*p + 2*p - n*p + 5*p + 2. Calculate m(1).
1
Let t = -946 + 941. Let j(l) = 99*l**3 - 192*l**3 - 8 + 92*l**3 - 6*l**2 + 0 - 6*l. What is j(t)?
-3
Let p(y) = y**2 - y - 2. Suppose 2*w - 674 + 676 = 0. Calculate p(w).
0
Let h(g) = -g**2 + 13*g - 15. Suppose 21*a + 18480 = -0*a. Let t be ((-15)/(-75))/(4/a*-4). Determine h(t).
7
Let x(q) be the first derivative of -q**2/2 - 15*q + 686. Suppose 0*l = -5*l. Suppose -o + 0*o = l. Determine x(o).
-15
Suppose -2*a = -5*a + 12. Suppose -8*c + 6*c = -a. Let y(k) = 24 + 27 - c*k + 3*k - 44. What is y(-10)?
-3
Suppose -5*z = n - 2, 0 = 5*n + 2*z + 3*z - 10. Let k(h) be the first derivative of -h**4/4 + 4*h**3/3 + h**2 - h + 100. What is k(n)?
11
Let a be (2/5)/(1/5). Let c(m) = 2 - 3 - a*m - 11*m**2 + 0. Let z be (16/(-32))/(3/6). Give c(z).
-10
Suppose -h + 5*l = -0 + 26, 4*l = 2*h + 22. Suppose -3*n = 2*u - 5*u - 3, n = 4*u - 5. Let c(i) = n*i + 8*i - 5*i. What is c(h)?
-6
Let p(i) = 2*i**2 + 3*i + 1. Let a(u) = -2*u**2 + u**3 + 16*u**2 - 20 + 0*u**3 + 11*u. Let y be a(-13). Suppose b - y = -8. What is p(b)?
3
Let i(c) be the third derivative of -1/12*c**4 + 2*c + 9*c**2 - c**3 - 1/60*c**5 + 0. Give i(0).
-6
Let v(f) = -f**3 + f**2 - 2*f + 3. Suppose g + 12 = -5*d, 2*g - 5*d = -3*g - 60. Let i be (g/3)/(-12)*9. Give v(i).
-21
Let g be (-16)/7 - (-2)/7. Let t be (5/(-2))/(g/4). Let p(l) = -668*l + 4. Let s(f) = 335*f + 1. Let h(j) = -p(j) - 2*s(j). Calculate h(t).
-16
Let d = -202 + 206. Suppose -24*b - v = -20*b - 21, d*v - 24 = -b. Let s(t) = t**2 + 2 + t**2 - t**3 + 7*t - 2*t. Determine s(b).
-10
Let y(p) be the third derivative of p**7/840 + p**6/72 + p**5/30 - p**4/6 - 17*p**3/3 + 2*p**2. Let b(c) be the first derivative of y(c). What is b(-4)?
-4
Let k(s) = 5*s - 13. Let m(r) = 9*r - 20. Let b(d) = -5*k(d) + 3*m(d). Calculate b(3).
11
Let f(l) = l**3 + 5*l**2 - l + 2. Let j(c) = 5*c + 132. Let w be j(-25). Suppose -2*s + 3*g = w, -5*s - 23 = g - 3*g. Give f(s).
7
Let h(i) = -2*i**2 + 4505 - 4505 + i. What is h(0)?
0
Let f = -1229 + 1217. Let m(h) = 3*h**2 + 42*h + 78. Calculate m(f).
6
Let j(m) = -26*m - 9 - 34*m + 86*m - 28*m. Let l(k) = 5*k + 20. Let q(w) = -7*j(w) - 3*l(w). Suppose -2*y = -3*y + 7. Give q(y).
-4
Let x = 12489 - 12496. Let d(t) = -4*t**2 - 35*t - 42. Determine d(x).
7
Let s(m) be the first derivative of m**4/6 + m**3/6 - m**2 + 80*m + 36. Let w(y) be the first derivative of s(y). Give w(1).
1
Let n(q) = -11 - 31 - 94*q + 95*q. Let g be n(33). Let p(a) = -a + 7. Determine p(g).
16
Let b(m) = -m + 2. Let k(r) = 6*r - 7. Let n(i) = -3*b(i) - k(i). Let a(h) = 16*h + 1. Let j(f) = a(f) + 6*n(f). Calculate j(6).
-5
Let y(r) be the second derivative of -3*r**3/2 + 3*r**2 + 184*r - 4. Give y(-3).
33
Let z(t) = -992 - 629 + 9*t + 1911 + 7*t. Determine z(-19).
-14
Let x(j) be the second derivative of -j**5/10 + j**4/12 - j**3/6 + j**2 - 167*j. Let y be x(0). Let b(h) = -h**2 - h - 2. Calculate b(y).
-8
Let g(w) = -w**2 - 11*w - 12. Suppose -3*z + 18 = 3*p, 5*z - z - 18 = -2*p. Let m = -19818 + 19806. Let q = p + m. Determine g(q).
6
Let d(i) = i**3 + i - 2. Let r be (3 + -1)/(1/2). Let s be (r - 146)*1 - -4. Let x = -136 - s. What is d(x)?
8
Let i(s) = -4*s + 9. Let n(q) = 9*q - 18. Let z(c) = 5*i(c) + 2*n(c). Let u be ((-36)/3)/4*-2. Calculate z(u).
-3
Let q = -79 + 83. Suppose 0 = 7*w - q - 38. Let u(i) = -i**2 + w + i**2 - 5*i - i**2. Determine u(-6).
0
Let t be 90/54*12/10. Let l(o) = 18*o**2 + 20*o**t + 9 - 2*o - 39*o**2. Give l(-4).
1
Let u(j) = j**2 - 4*j + 4. Let z(v) = 5*v**3 + 14*v**2 + v + 14. Let n(m) = -m**3 - 10 + 0*m**3 + 11. Let q(k) = 4*n(k) + z(k). Let a be q(-14). What is u(a)?
4
Let a(t) = -t**2 + 115*t - 29. Let d(w) = -w**2 + 93*w - 31. Let g(x) = -5*a(x) + 6*d(x). Determine g(-14).
1
Suppose 2*m - 2*k = 24, -5*k + k = -2*m + 26. Let r be m + (-3 - 39)/6. Let o(y) = -y**2 + 3*y + 5. Determine o(r).
1
Let c = 1603 + -1607. Let x(q) = q**3 + 2*q**2 - 11*q - 6. Determine x(c).
6
Suppose 2*k - 9*y + 12*y - 45 = 0, 3*y = 21. Let l(m) = m**3 - 10*m**2 - 25*m + 19. Calculate l(k).
7
Let b(o) = o**3 + 14*o**2 + 9*o - 36. Let w be b(-13). Let z(d) = -3*d**2 + 47*d + 18. Calculate z(w).
2
Suppose -3*k = 2*k + 100. Let f be 124/k - (-1)/5. Let m(g) = -5 - 53*g + 16*g + 21*g + 19*g. Give m(f).
-23
Let k(b) = -6*b - 12*b - 18*b - 8*b + 47 + 48*b. Calculate k(-12).
-1
Let b(w) = 661*w + 15 + 638*w + 22 - 1292*w. Give b(-7).
-12
Let r(s) = -2*s + 8. Let k(p) = -9*p - 14. Let x be k(-2). Suppose -x*d - 6 = -30. Determine r(d).
-4
Let s(g) = -g**3 - 80*g**2 + 14*g**3 + 2 - 86*g**2 + 0 + 165*g**2. Determine s(1).
14
Let p(k) = 3 - 4 - 3 + 1 - 3*k. Let f be p(-1). Suppose a - 2*h - 3 = 6, -2*a - 3*h - 17 = f. Let i(t) = 10*t**2 - t. Calculate i(a).
11
Let j(o) = 3*o**2 + 20*o - 4. Let l(i) = -7*i**2 - 39*i + 11. Let y(p) = 5*j(p) + 2*l(p). Calculate y(-22).
2
Let c(k) = 2*k - 2. Suppose -231 = 3*n - m, -6*n = -3*n - 2*m + 234. Let s = n - -80. Calculate c(s).
6
Let g(f) = -18*f + 35. Let v(h) = -4*h. Let w(o) = g(o) - 7*v(o). Calculate w(-4).
-5
Suppose 176 = -4*c + 2*r, r = -3*c - 134 - 3. Let i be ((-70)/(-3))/