. Calculate b(-6).
6
Suppose 15*o + 6 = 36. Let m(k) be the first derivative of 1 + k - 1/3*k**3 + 1/2*k**o. Give m(-1).
-1
Let i(b) = b**2 - 5*b + 22. Let q(y) = 2*y**2 - 12*y + 44. Let x(v) = -7*i(v) + 3*q(v). Determine x(0).
-22
Let j(c) = c**3 - c - 1. Suppose 102 = -11*k + 487. Let f be (-14)/k - (-1 - 6/(-10)). Calculate j(f).
-1
Let t(a) = a. Suppose 0 = 8*w + 77 - 61. What is t(w)?
-2
Suppose 5*t + j = -0 - 1, -5 = -3*t + 5*j. Let g(x) = -2*x - 2. Let w be g(-2). Let q(v) = -w + t*v + v + v. Give q(-3).
-8
Suppose 0 = -3*b + 5*b + 8. Let o(j) = 13*j**2 - 2*j + 7. Let n(m) = -15*m**2 + 3*m - 8. Let w(x) = 6*n(x) + 7*o(x). Determine w(b).
1
Suppose 20 = -0*v + 4*v. Suppose -4*j = -w - 12, j - 8 = v*w - 24. Let l(c) = 8 - 8 - c. What is l(j)?
-4
Let n(d) = 2*d - 3. Suppose -4*q - 6 = b - 9, 18 = 6*b + q. Give n(b).
3
Let h = 6 + -12. Let b(t) = -20*t**2 + 8*t + 12. Let v(l) = -7*l**2 + 3*l + 4. Let i(r) = h*b(r) + 17*v(r). Let n = -15 - -12. Calculate i(n).
-4
Let j(m) be the first derivative of -m**6/120 + m**5/12 + 5*m**4/24 + 4*m**3/3 - 19*m**2/2 - 12. Let w(d) be the second derivative of j(d). Give w(6).
2
Let k be ((-2)/2 - 0)*3. Let g(o) be the first derivative of 2*o**2 + o + 7. Let x(v) = -7*v - 2. Let z(f) = 5*g(f) + 3*x(f). Give z(k).
2
Suppose 4*s + 0*s - 10 = -b, 3*b + 4 = 5*s. Let t(j) = 3 + j**b - 2*j**2 + 5*j + 0*j. Let d = -59 + 64. Give t(d).
3
Let s(i) be the second derivative of 5*i**3/3 + i**2/2 - 9*i. Calculate s(1).
11
Let q = -10 - -10. Let h(o) = 5*o - 3*o + q*o - 1 + 13*o**2 - o. What is h(1)?
13
Let d be (2 + -1)/(-4 + 2 + 3). Let j(r) = 25*r**2 - 5 + 5 + 3*r**2. Calculate j(d).
28
Let a = -509 - -512. Let u(o) = 3*o**2 - 3*o - 3. Give u(a).
15
Let z(m) = 766*m - 10 - m**2 - m**3 - 772*m + 7*m**2. Give z(4).
-2
Let n(t) = -4*t + 2. Let p(q) = 21*q - 9. Let b(v) = -11*n(v) - 2*p(v). Calculate b(-4).
-12
Let k(o) = -2*o - 3. Suppose 2*r - 10*r = -24. Suppose f + 2 = -r. What is k(f)?
7
Let t be 14*(3 - 0 - 16/4). Let r(y) = -y**2 - 15*y - 14. Give r(t).
0
Let i(f) = 29*f**2 + 2*f + 9. Let n(o) = -53*o**2 - 3*o - 18. Let z(r) = 11*i(r) + 6*n(r). Calculate z(-7).
12
Let q(y) be the first derivative of 2*y**3/3 - 9*y**2/2 + 12*y - 208. Give q(5).
17
Suppose -3*i = 2*i - 5*v - 125, -70 = -2*i - 3*v. Let a = -30 + i. Let m(k) = -k + 1. What is m(a)?
2
Let t(r) = 4*r - 3. Let g = -18 - -39. Suppose -3*m + g - 12 = 0. Give t(m).
9
Suppose 3*h + 8 = -2*z, -6*h = -7*h - 2*z - 4. Let i(j) be the second derivative of -j**3/6 + j**2 + 2*j. What is i(h)?
4
Let j be (-42)/105 + 2/5 + -11. Let m(w) = -w**3 - 12*w**2 - 10*w - 15. Give m(j).
-26
Let r(q) = q**3 - 10*q**2 - 14. Let n = -999 + 1009. Determine r(n).
-14
Suppose 25*i = 28*i - 9. Let s(a) be the first derivative of i + a + 11/2*a**2. Calculate s(1).
12
Let q(t) = -t**2 + 7*t + 6. Let o be (-12)/3*6/24. Let x be 6 - (-5 - (-6 - o)). What is q(x)?
12
Let j(l) = 4*l**3 + 3*l**2 - l + 1. Let p(b) = -14*b**3 - 8*b**2 + 2*b - 3. Let a(d) = -8*j(d) - 3*p(d). Give a(-1).
-11
Let k(t) be the third derivative of t**5/60 + t**4/24 + t**3/6 + t**2. Suppose 15*q = -1 + 31. What is k(q)?
7
Let s(h) = 10*h**2 - h. Suppose 0 = -3*g + 2*g. Suppose g = -3*o + o. Suppose -6*n + o = 6. Determine s(n).
11
Let z(o) = o**3 - o - 1. Let k = -3 - 5. Let r(a) = -a**3 - 8*a**2 - a - 6. Let q be r(k). What is z(q)?
5
Let t be (810/(-25))/(-6) + (-9)/(-15). Let q(o) = 1 + 3 + 5*o + 2*o**2 - 3*o**2. What is q(t)?
-2
Let b(f) be the second derivative of -f**4/12 + f**3/6 - f**2/2 - 2*f. Let x = 13 + -8. Let l(n) = 2*n - 10. Let k be l(x). Calculate b(k).
-1
Suppose 0*i - 35 = 5*i. Let y be 23/7 + 2/i. Let v(m) = -42 + 46 + 3*m - y*m + m**2 + 7*m. Determine v(-6).
-2
Suppose 20 = -4*r - 3*v - 10, -7 = r + v. Let h(p) = -p**3 - 8*p**2 + 7*p + 12. Calculate h(r).
30
Let y(d) = -d**2 + 5*d + 3. Let h = -9 - -13. Let s be 0/(-1) + (8 - h). Suppose -19 + s = -3*g. Give y(g).
3
Let l be (16/12)/(-4)*-6. Let k(x) = 5 - 2*x**l - 2*x + 7 + 3*x - 10. Calculate k(3).
-13
Let v(y) = -y - 33. Suppose -40*b + 67*b = 34*b. Give v(b).
-33
Suppose -3*u + 33 = 141. Let t = u - -26. Let n(y) = -y**2 - 9*y. Give n(t).
-10
Let x(c) be the first derivative of -c**4/4 + 5*c**3/3 - 5*c**2/2 - 3*c - 26. What is x(4)?
-7
Let p(m) = m**3 - 6*m**2 - 4*m + 12. Let r(d) = -6*d**3 + 30*d**2 + 20*d - 62. Let u(g) = 11*p(g) + 2*r(g). What is u(-4)?
-8
Suppose 18*m = 63 + 135. Let k(z) = z**3 - 11*z**2 - 5. Let a be k(m). Let c(p) = -p**2 - 7*p - 7. What is c(a)?
3
Let p(u) = 2*u - 2. Let l(y) = -17*y + 18. Let g(j) = l(j) + 6*p(j). Determine g(5).
-19
Let p(l) = -9*l - l**3 + 1 + 4 + 3 + 8*l**2. Let n be (-6)/(-10) + (288/(-30) - -3). Let x be (2 - 1)*(13 + n). What is p(x)?
-6
Let t(d) = d - 6. Suppose -15*p = -8*p + 42. Calculate t(p).
-12
Let o(f) = 7*f - 169 + 86 + 82 - 2*f. What is o(4)?
19
Let f(p) = p**3 - 3*p**2 - 12*p - 3. Let a(l) = 2*l. Let d(r) = -5*a(r) - f(r). Determine d(3).
9
Let x(a) = 22*a**2 + a + 1. Suppose 0 = -z + 5*r - 11, 5*z + 4*r + 1 - 4 = 0. What is x(z)?
22
Let h(t) be the first derivative of -12*t - 3*t**3 - t**2 - 1 - 1/4*t**4. Give h(-9).
6
Let b(w) = 10*w + 17*w + 8*w - 2*w**2 - 28*w - 2. What is b(5)?
-17
Suppose -3*a + 0 = -3, 3*a = -2*k + 9. Suppose -8*o + k*o + 20 = 0. Let m(i) = -i**3 + 5*i**2 - 6*i + 6. What is m(o)?
-2
Let o(k) = -2*k**2 - 4*k - 3. Suppose -3*d - 26 + 38 = 0. Suppose -4*t = -t + d*c + 1, 2*t + 14 = 4*c. Determine o(t).
-9
Let o(m) = -m**2 - 22*m + 4. Let l be o(-22). Let t(b) = b**3 - b - 1. Let f(c) = 5*c**3 - 4*c**2 - 7*c. Let n(w) = f(w) - 4*t(w). Give n(l).
-8
Let f(k) = 5*k - 5. Let t(b) = -4*b + 3. Let u(z) = 2*f(z) + 3*t(z). Determine u(1).
-3
Suppose 3*u - 4*m = 40, u + 3*u - m = 36. Let s(o) = o**3 - 8*o**2 - o + 10. Let l be s(u). Let k(t) = -l + 0 + t + 3. Give k(4).
5
Let i(z) = 14*z - 31. Let j be i(5). Suppose 0 = 3*s + 66 - j. Let k(m) = 2*m + 13. Calculate k(s).
-5
Let q(h) = -8*h + 111. Let b be q(14). Let k(r) = -16*r**3 + 2*r**2 + 2*r + 1. Calculate k(b).
17
Let d(h) = 0 + 3 - 1744*h + 1743*h. Give d(4).
-1
Let i(q) = -10*q + 73. Let t be i(7). Let j(a) = -2*a - 1. Let h(s) = 3*s + 3. Let r(n) = -2*h(n) - 5*j(n). Give r(t).
11
Suppose -17*f = -19*f - 6, 4*z + f = 1. Let m(n) = 4*n**2 - 1. What is m(z)?
3
Let w(n) = 2*n**2 + 4*n + 4. Suppose -m = 3*m - 8. Suppose 3*l - 2 = m*l - r, -5*l = -5*r + 40. Determine w(l).
10
Suppose -4*c + 2*w + 10 = 3*w, 4*w = -8. Suppose 3*d = 38 - 23. Let z(o) = o + c + d*o - 3*o. Determine z(-3).
-6
Let a(u) = 2*u**2 - u - 1. Let n(z) = 5*z**2 - z - 16. Let p(k) = 2*a(k) - n(k). Give p(0).
14
Suppose -a = 1, 0*o - a = o. Suppose -o = l + 5*u + 5, 0 = 4*l - 4*u - 24. Let d(q) be the second derivative of q**3/6 - q**2/2 - q. What is d(l)?
3
Suppose 15*l - 11*l - 4 = 0. Let h(a) be the first derivative of 3*a**5/5 - a**3/6 - 3*a + 3. Let u(s) be the first derivative of h(s). Calculate u(l).
11
Let c(w) = -w**2 + 6*w - 1. Let z be c(5). Suppose -19 + 16 = -3*g. Let s(y) = 9 - 2 + y - g - 1. Determine s(z).
9
Let p(q) be the first derivative of -2*q**4/3 - q**3/6 - 11*q**2/2 + 1. Let v(t) be the second derivative of p(t). Calculate v(1).
-17
Let i(x) = 46*x - 21*x - 24*x + 2 + 0 + 11*x**2. Determine i(-1).
12
Suppose 11*i - 42*i = -93. Let o(v) = -2*v + 2. Calculate o(i).
-4
Let u(i) be the third derivative of i**5/60 - 7*i**4/12 + 20*i**3/3 - i**2 - 71*i. Calculate u(7).
-9
Let n(l) = 5 + l + 8 - 15 - 2*l. Determine n(-7).
5
Let h(y) be the first derivative of -3*y**2/2 + 9*y - 39. What is h(4)?
-3
Suppose -173 + 19 = -5*i - 3*x, 2*i - 5*x = 74. Let r(t) = 14*t + 17*t - i*t + t**2 - 1. Calculate r(-3).
11
Let g(x) = -2*x - 2. Let m(f) = f - 1. Let h be m(9). Let r(k) = 5*k**3 - 5*k**2 + 2*k**3 - 4 - h*k**3. Let v be r(-5). Determine g(v).
6
Let y(r) = -r**3 + 3*r**2 + r - 1. Suppose 0 = -3*s - 8 + 44. Let z = s - 9. Suppose -7*h - 2*k + 13 = -2*h, z*h - 10 = k. What is y(h)?
2
Let k(r) = -3*r - 1. Let v(l) = -l**2 + l + 1. Let g(x) = 3*x**2 - 19*x - 17. Let n(t) = -g(t) - 4*v(t). Suppose -25 = 7*f + 73. Let s be n(f). Determine k(s).
2
Let g(z) = 7*z + 10. Let v(d) = d**3 + 52*d**2 + 52*d + 49. Let j be v(-51). Determine g(j).
-4
Let b = 1613 + -1605. Let k(w) = -5*w + 36. Determine k(b).
-4
Let w = -458 - -450. Let p(c) = c**2 +