5
Let k(h) be the third derivative of 0*h + 1/8*h**4 + 0 - 1/3*h**3 - 20*h**2 - 1/60*h**5. What is k(6)?
-20
Let h(u) = -4*u**2 + 8*u + 1. Let o(c) = -c**2 + 9*c + 27. Let k be o(11). Let v(q) = 7*q**2 - 15*q - 2. Let f(w) = k*h(w) + 3*v(w). Calculate f(5).
-1
Suppose -q + 2 = -0*q. Suppose l + 3 = 4*s, -3 = -q*l + 7. Suppose -s*i + 6*i = 20. Let d(r) = r**3 - 5*r**2 + r - 2. Give d(i).
3
Let y(f) be the second derivative of 1/12*f**4 + 7*f + 5/6*f**3 - 5*f**2 + 0. What is y(-7)?
4
Let q(c) be the first derivative of -c**3 - c**2 - 6*c + 10. Let j(t) = -4*t**2 - 2*t - 7. Let b(d) = -5*j(d) + 6*q(d). Give b(-2).
11
Suppose 5 - 24 = -3*y - 5*l, 3*l + 9 = 5*y. Let u(b) = 2*b**2 - 3*b - 3. Determine u(y).
6
Let i(n) = n**2 - 12*n + 3. Suppose 144 = 35*g - 19*g. Give i(g).
-24
Let q(u) = -u**2 - 4*u + 3. Suppose 17 = -5*x + 47. Suppose 3*p = -3*v + x, -2*p + v + 7 = -0*p. Suppose -15 = 6*s - 3*s, p*s = 5*z. Determine q(z).
6
Suppose -4*h - 7 = 21. Let u(k) = 3*k - 12. Let x(p) = 7*p - 25. Let r(a) = -9*u(a) + 4*x(a). Give r(h).
1
Let h(q) = q**2 + 7*q - 7. Let t = -52 + 58. Let w be 44/66 + ((-28)/t - 2). Calculate h(w).
-13
Let y(b) = -b. Let u(f) = f**3 + f**2 + 4*f + 2. Let z(d) = d**2 + 5*d - 1. Let c be z(-5). Let k(p) = c*u(p) - 6*y(p). Calculate k(2).
-10
Let t(m) = -2*m**2 - 3*m + 1. Suppose 11*i - 21 = -54. Calculate t(i).
-8
Let l(y) = -y + 9. Let u be l(8). Suppose 2*m + 5 = u. Let i(t) = -2*t - 2. Calculate i(m).
2
Let r(u) be the second derivative of -u**4/12 + u**3 + 3*u**2/2 - 2*u. Let x be -9*(64/80)/(12/(-10)). Determine r(x).
3
Let l(w) = -w**2 - 6*w - 1. Suppose -6 = 3*r - 3*v - 0, 3*v - 20 = 5*r. Calculate l(r).
-8
Suppose -8*q + 7*q + 13 = 0. Let y(k) = -9 - 4*k + 28 - q. Determine y(4).
-10
Let f(l) = -l**3 - 7*l**2 + 5*l - 19. Let c be f(-8). Suppose 0 = -7*p + 3*p. Suppose -c*n = 4*x - 0*n, p = -2*x - 4*n. Let b(u) = -u + 1. Calculate b(x).
1
Let j(i) be the third derivative of -1/6*i**4 - 2*i**2 + 1/2*i**3 + 0 + 0*i. Let c(t) = -t - 6. Let d be c(-8). Determine j(d).
-5
Let m(k) = -3*k**2 - 9*k - 7. Let u(i) = 6*i**2 - 24*i - 4. Let q be u(4). Give m(q).
-19
Let a(x) = x - 17. Suppose -2*c - 828 = -48*c. Give a(c).
1
Let g(l) = -13*l**2 - l - l**2 + 6*l**2 + 12*l**2. Give g(-1).
5
Suppose -97 = -4*j + 11. Let n(f) = j*f + 4*f**2 - 5*f**2 - 32*f. Give n(-4).
4
Let n(d) = 10*d**2 + d - 2. Suppose -c + 7 = 6. What is n(c)?
9
Suppose -3*j = 3*t - 27, 2*j + 0*j - t - 3 = 0. Let x(g) be the first derivative of g + g**j - 11 + 0*g**4 + g**2 + 7. Give x(-1).
-5
Let l = -35 - -16. Let f = l - -21. Let z(k) = 10*k - 3. Give z(f).
17
Suppose 10*i - 36 = -16. Let k(a) = -a - 151 + i*a + 150. Let y = 0 + 2. Give k(y).
1
Let c = -318 + 311. Suppose 3*a - 1 = 5. Let o(f) = 2 + 3*f**3 + 7*f + 2 - 2*f**3 + 8*f**a + 0*f**3. Determine o(c).
4
Let m(l) = -3*l - 3. Let w = -18 + 26. Give m(w).
-27
Let k(g) be the third derivative of g**4/8 + g**2. Let f(d) = -6*d - 7. Let c be f(-3). Suppose -15*o + 8 = -c*o. Determine k(o).
6
Let y(o) = o**3 - 8*o**2 - 4. Let c = 261 + -381. Let t be c/(-18)*(-12)/(-10). What is y(t)?
-4
Let t = 8 + 8. Let i be t/(-120) + 122/15. Suppose -v + i = v. Let n(w) = -w - 2. Determine n(v).
-6
Let h(k) be the second derivative of -k**5/24 - k**4/12 - 7*k**3/6 - k**2 + 3*k + 8. Let v(d) be the second derivative of h(d). Determine v(-2).
8
Let d(y) be the third derivative of y**6/15 + y**2. Suppose -3*k + g + 9 = 4*g, k - 2*g + 12 = 0. Let u be 0 + (-1 - 4/k). Determine d(u).
8
Let b(g) be the third derivative of g**6/120 + g**5/12 - g**4/4 + 7*g**3/6 + 4*g**2. Let u be (-6)/18*((-1 - -3) + 16). What is b(u)?
7
Let s(r) = r**2 + 8*r + 6. Let t = -66 - -60. Let w be s(t). Let m(h) = -h**2 - 3*h + 3. Give m(w).
-15
Let n(m) = m**3 + 4*m**2 + 2*m + 6. Suppose -291 - 402 = 9*c. Let t = 73 + c. What is n(t)?
-2
Suppose -41*r - 88 = 76. Let i(a) = 2*a**2 + 7*a + 7. What is i(r)?
11
Let d(c) = 8 - 3*c + 4 + 2*c. Suppose -7*h - 18*h + 175 = 0. Determine d(h).
5
Let o = 5 - 2. Let x(s) = -3 - 2*s**2 + 3 - s**2 + o + 2*s. Suppose 0 = v + 2*h + 4, -4*v = -9*v - h - 11. What is x(v)?
-13
Let g(c) be the third derivative of -42*c**2 + 0*c + 2/3*c**3 + 0 + 1/24*c**4. Calculate g(-3).
1
Suppose 2*s = -2*o - 0*o + 14, -2*s + 29 = 5*o. Let t(u) = 441 + o*u - 4*u + 3*u - 445. Let x(g) = -g**3 - g**2 - g - 3. Let w be x(0). What is t(w)?
-16
Let j(p) = p - 11. Let x = -65 + 76. Let w be j(x). Let n(t) = t**2 + 1. Determine n(w).
1
Let y(z) be the first derivative of z**2/2 - 7*z - 1. Let b = -14180 - -14173. Determine y(b).
-14
Let p be -2*6*3/(-6). Let i(m) = -10 + 7 + 2*m**2 - m**2 - p*m. Let h be (48/(-12))/(1/((-9)/6)). Calculate i(h).
-3
Let f(r) be the second derivative of -r**3 + 19*r**2/2 + 20*r. Let i be f(3). Let t(y) be the first derivative of -2*y**2 - 2. Give t(i).
-4
Suppose 20*x + 540 = 80. Let n(j) = j**3 + 24*j**2 + 22*j - 28. What is n(x)?
-5
Let g(l) = l**2 + 10*l + 2. Let x = 40 - 35. Suppose 0*s = -x*s - 45. What is g(s)?
-7
Suppose -12*g - 30 = -22*g. Let b(v) = -8*v + 10. Determine b(g).
-14
Let k(x) = x**3 + 2*x**2 - x. Suppose -6 = -5*w - 4*z, -5*z = w + 7 - 4. Determine k(w).
14
Suppose -6*o + 14 = 2. Suppose o*j + 22 = 36. Let d(i) = i**3 - 2*i**3 - 11 + 7*i**2 + 2*i + 4. Give d(j).
7
Let z(g) = 3*g**2 - 18*g + 21. Let h(q) = 4*q**2 - 19*q + 22. Let m(n) = 4*h(n) - 5*z(n). Calculate m(-15).
-2
Let i(a) = 4*a + 2. Suppose 1187*n + 3 = 1186*n. Give i(n).
-10
Let t(d) be the third derivative of -d**8/6720 + d**6/240 + d**5/120 - 13*d**4/24 - 14*d**2. Let i(r) be the second derivative of t(r). Give i(-2).
3
Let y(m) = -26*m + 164. Let g be y(6). Let i(p) = p - 3. Give i(g).
5
Let z(n) = -n**3 + 3*n**2 - n - 3. Let k be z(3). Let b(q) = 5*q**2 - 9*q + 4. Let x(h) = 3*h**2 - 8*h + 5. Let u(m) = 2*b(m) - 3*x(m). Calculate u(k).
-7
Let l(c) = -c**2 - 4*c + 8. Let m(g) = 4*g**2 - 22*g - 18. Let w be m(6). Determine l(w).
-4
Let p(g) = -g**3 + 4*g**2 - 2*g - 2. Suppose 20*w = 116 - 36. Give p(w).
-10
Let k be (1 - -1)/(-4)*-4. Suppose -a + k*a - 3 = 0. Let d(m) be the first derivative of m**2 - 4*m + 755. Give d(a).
2
Let u(s) = s**3 - 9*s**2 + 5*s + 3. Let a(w) = 15*w**2 - 6*w - 3. Let j(t) = 2*a(t) + 3*u(t). What is j(-2)?
-15
Suppose 218 + 414 = 2*j. Let c be j/(-24) + 1/6. Let x = c + 14. Let y(o) = 10*o - 1. Give y(x).
9
Let v(p) = p**2 - 11*p - 30. Suppose -3*z - n = -41, 2*z - 4*n + 3 - 21 = 0. What is v(z)?
-4
Let f(m) = 4*m - m - 4*m - 3. Suppose -21*k = -15*k - 18. Suppose -3*w + k = w - 5*b, -w + b = 0. Calculate f(w).
0
Let g = -183 - -175. Let a(d) = d**3 + 7*d**2 - 4*d + 7. Give a(g).
-25
Let r(c) = -c**2 + 5*c + 15. Let a be r(7). Let y(w) = 0*w**3 + 2*w**3 + w**2 + a - w**3. Determine y(-2).
-3
Let x be 1 - 5 - -5 - 1/(-1). Let v(m) = -8 + 2*m**x - 7*m - 11*m**2 + 5*m**2 + 5*m**2. What is v(6)?
-14
Let u(p) = p**2 - 4*p + 13. Let s(k) = 3*k**2 - 11*k + 27. Let m(h) = 2*s(h) - 5*u(h). Calculate m(-3).
4
Suppose -21 = -7*i - 0. Let y(f) be the first derivative of -f**2 - 2*f - 3. Let q(j) = -5*j - 4. Let o(a) = i*q(a) - 7*y(a). Calculate o(2).
0
Let m(g) = -5*g + 2. Let v(i) = -5*i + 1. Let y(x) = -4*m(x) + 5*v(x). Suppose k + 11 = 2*z, 0 = -3*k + 26*z - 23*z - 21. Calculate y(k).
12
Suppose 10 = -0*k + 5*k. Let r(t) = 8*t + 7. Suppose 0 = -5*x - 2*w + 32, 3*x - 6 = -3*w + 15. Let a(i) = 7*i + 6. Let m(s) = x*r(s) - 7*a(s). Determine m(k).
-2
Let i(l) = -3*l - 2. Let j(p) be the second derivative of -p**3/6 + 11*p**2/2 + 3*p. Let f be j(6). Suppose -3*c + f = -1. Determine i(c).
-8
Let v(i) = -i**2 - 2*i - 4. Let c = 11 + -8. Suppose 0 = 2*t - c + 9. Calculate v(t).
-7
Let j(s) = 4*s**3 - 6*s**2 - 3*s + 3. Let m(z) = 9*z**3 - 12*z**2 - 7*z + 5. Let g(u) = -7*j(u) + 3*m(u). Suppose 2*q = -0*q + 12. What is g(q)?
-6
Let u(k) = -4*k**2 + 9*k**2 - k + 11 - 5 - 4*k**2 + 7. Suppose -2*w = -0*w. What is u(w)?
13
Let b(n) = -30*n**2 + 32*n - 13. Let m(r) = 19*r**2 - 22*r + 9. Let j(a) = 5*b(a) + 8*m(a). Determine j(8).
7
Let h(b) = -b. Suppose 0 = 19*a - 126 + 31. Calculate h(a).
-5
Suppose -2*h - 208 + 200 = 0. Let v(q) = 4*q**3 - q**2 + 12*q - 4. Let r(t) = -9*t - 3*t + 2*t**2 + t - 3*t**3 + 5. Let k(s) = h*v(s) - 5*r(s). What is k(-7)?
-9
Suppose 3*z - 12 = -x, 4*x - 4 = -3*z + 2*z. Suppose 9 + 3 = z*f. Let