n(f) = -2*f**2 + 13*f - 3. Determine n(x).
3
Let t(l) be the second derivative of 0 + 2/3*l**3 + 5/2*l**2 + 1/12*l**4 - 21*l. Let y be -2 + 0 + 2 - 4. Calculate t(y).
5
Let c(x) be the second derivative of -x**3/6 + x**2/2 + 4*x. Let l(r) = 3*r + 1. Let t(w) = -5*c(w) - l(w). Calculate t(-5).
-16
Let p(n) be the first derivative of -n**2/2 + 2*n - 1. Suppose -78 = 3*k + 12*w, -3*k + 6 = 4*w - 6*w. What is p(k)?
4
Let t = 36 - 31. Suppose -3*y - 2*y = t. Let u(h) = 6*h. Calculate u(y).
-6
Let y(a) = 8*a - 388 + 385 - 9*a. Suppose 0*n + 4*w - 20 = 2*n, 3*w + 37 = -5*n. What is y(n)?
5
Suppose 4*d + t = d + 1, 3*t + 15 = 0. Suppose 4*y - 9 = 3*y. Let z(a) = -4 + 6 + d*a - 3 - y*a. Give z(1).
-8
Let g(d) = 2*d + 21. Let h(c) = 15*c + 33. Let w be h(-3). Calculate g(w).
-3
Let u(s) = 14 + s**3 + 21 + 15 + s - 34 + 0*s - s**2. What is u(0)?
16
Let m(l) = l**2 - 2*l + 2. Let u be 40/(-6)*(-21)/7. Let p = 22 - u. Give m(p).
2
Let i(a) = a**2 + 15*a + 9. Let s(u) = -u**2 - 13*u - 8. Let l(y) = -5*i(y) - 6*s(y). Calculate l(-3).
3
Let r(k) = -11*k - 1. Let z be 8 - 4*(-3)/(-4). Suppose t - z*t = 0. Suppose 2 + t = -2*a. What is r(a)?
10
Let u(b) be the third derivative of -9*b**2 - 3/8*b**4 + 0*b + 1/6*b**3 + 0. Determine u(1).
-8
Let r(l) be the third derivative of l**7/2520 + l**5/20 - 10*l**2. Let k(p) be the third derivative of r(p). Let g(j) = 4*j**2 - j. Let u be g(1). Give k(u).
6
Let f(p) = 2*p - 9. Let z be 25/(-3) - 7/(-21). Let i be (3/2)/(z/(-32)). Give f(i).
3
Let n = -7 + 8. Let a(q) = 0 + n - 2 - q. Let m(y) = y**2 + 10*y + 10. Let j be m(-9). Calculate a(j).
-2
Let s = 42 + -37. Let p(a) = -4 - 2 - s*a - a + 4. Calculate p(2).
-14
Suppose 5*u = 15, 3*n + 79 = -2*u + 43. Let w(g) = -g**3 - 13*g**2 + 12*g - 21. Determine w(n).
7
Let q = -6 - -11. Let p(f) be the third derivative of f**7/2520 - f**6/240 + 13*f**5/60 + 21*f**2. Let d(t) be the third derivative of p(t). What is d(q)?
7
Suppose d = -2*d. Let a(s) be the second derivative of 28*s - 1/6*s**3 + 1/12*s**4 + 0 - 1/2*s**2. What is a(d)?
-1
Let a(b) = -4*b - 2. Let p be a(-1). Suppose 4*x + 12 = -p*k, 0 = -4*x + 2*k - 7 - 21. Let m(u) = u**3 + 4*u**2 - 8*u - 3. What is m(x)?
12
Let h(o) = 3*o**3 + o**2 + 2*o + 1. Let s = -38 + 18. Let q = -21 - s. Give h(q).
-3
Let h(q) = -11*q**2 + 11*q - 11. Let y(n) = 7 - 7*n + 5*n**2 + 2*n**2 + 0*n + 0*n. Let r(x) = 5*h(x) + 8*y(x). Determine r(-3).
13
Let x(s) = 2*s + 6. Let p = -5 + 4. Suppose -6*r = 5 + 1. Let c be -6 - (-4 - (p + r)). Determine x(c).
-2
Let j(u) = -u**2 + 1. Let r = 5 - -102. Let d = r - 109. Give j(d).
-3
Let x(z) = 3*z**3 + 21*z**2 - 6*z - 18. Let u(r) = r**3 + 7*r**2 - 2*r - 6. Let l be 3 + -3 - 2/(-2)*7. Let h(s) = l*u(s) - 2*x(s). Determine h(-7).
8
Suppose -2*s = 3*q, 0 = 5*s + 2*q + 2*q. Let u = s + 0. Let p(m) = 31*m + 5. Let r(h) = 6*h - 1. Let d(c) = -p(c) + 5*r(c). Calculate d(u).
-10
Let o(w) = -w**3 + 13*w**2 + 12*w + 33. Let n be o(14). Suppose 8 = g - 5*g - z, n*g = 3*z + 7. Let h(u) = -10*u**3 + u**2 + 2*u + 1. Calculate h(g).
10
Let v(m) = 67*m - 140*m + 78*m - 1. Let g(c) = -11*c + 3. Let a(b) = -4*g(b) - 9*v(b). Give a(3).
-6
Let a(o) be the second derivative of -o**5/20 - 5*o**4/12 + 9*o**2/2 - o + 157. What is a(-4)?
-7
Let g(c) = -8*c - 1. Let r(o) = 8*o + 1. Let l(v) = -3*g(v) - 2*r(v). What is l(-1)?
-7
Let b be (4 - 15/6)*-10. Let l = 13 + b. Let x be l/(-8)*0 - -3. Let n(s) = -s**3 + 4*s**2 - s - 4. What is n(x)?
2
Let n(j) be the second derivative of 13/2*j**2 + 0 - j - 7/24*j**4 - 1/6*j**3 - 1/60*j**5. Let y(d) be the first derivative of n(d). Calculate y(-4).
11
Let v(p) be the third derivative of -2*p**5/3 - p**4/24 + 142*p**2. Calculate v(-1).
-39
Suppose 0 = -2*u + 7 + 1. Let t(s) = 2 - 3 - 9 + 7*s. Let i(p) = 15*p - 21. Let h(z) = u*i(z) - 9*t(z). Give h(4).
-6
Let s(y) = -y**3 + 8*y**2 - 10*y + 9. Let u be 8/(-32) - 29/(-4). Let r be ((-4)/u*1)/(34/(-357)). Give s(r).
21
Suppose -2*k + 136 = -2*a, 5*k = 2*a - 85 + 425. Let r(j) = -k + j + 68. Let x = 8 + -10. Give r(x).
-2
Let v(x) = -x + 3. Suppose -m + 6*g - 17 = g, m = 3*g - 7. Let t(w) be the third derivative of w**4/24 - 5*w**3/6 + 3*w**2. Let q be t(m). Give v(q).
0
Let s(t) = 2*t - 15. Let z be (-196)/(-24) - (-5)/6. Determine s(z).
3
Suppose 3*y + 9 = 2*y - 5*p, -3*y + 3 = 5*p. Suppose 2*a - 16 = y*a. Let j(m) = -3*m - 5. Let t(n) = -7*n - 11. Let h(v) = -10*j(v) + 4*t(v). What is h(a)?
-2
Let y(z) = -z**2 - 7*z - 4. Suppose -134 = 5*n - 2*j, 4*n + 112 + 9 = -3*j. Let i be n/(-18)*3*6/(-4). Determine y(i).
-4
Suppose 60 = -9*n - n. Let c be 2/6 + n/(108/(-30)). Let w(g) = g + 1. Determine w(c).
3
Let s be ((-5)/(-10))/((-26)/52). Let z(n) = 2*n + 8. Calculate z(s).
6
Suppose 41 = -3*p - 4*r, p + 3*r = 6*p + 49. Let f(z) = z**3 + 10*z**2 - 13*z - 6. Calculate f(p).
16
Let y be -1*(((-80)/2)/(-5) - 1). Let w(x) = -2*x + 7. Give w(y).
21
Let d(k) = -k + 1. Let u(q) = -q**2 - 8*q - 7. Suppose -2*m = -4*m - 12. Let t be u(m). Suppose -4*b - h - 22 = 0, 5*h = -t*b + 1 - 36. Determine d(b).
6
Let a(g) be the second derivative of -g**4/6 + 7*g**3/3 - 5*g**2 + 653*g. Calculate a(7).
-10
Let j be ((-1)/4)/(1/12). Let f(w) = 4*w - 2. Calculate f(j).
-14
Let b(o) = o**2 + 14*o + 10. Suppose -3*s = -5*s + 5*f - 18, 0 = -3*s - 2*f - 27. Determine b(s).
-35
Let r be ((-3)/4)/(1/(-4)). Let a be (-10 - (-2 - 0))*49/(-28). Let h(y) = -4 - 4*y - 11*y + a*y. Calculate h(r).
-7
Let z(h) = -h**3 + 6*h**2 + 3. Suppose 5*y - 6*s + 2*s = 59, -12 = -y + s. Let x = -5 + y. Determine z(x).
3
Let o(q) be the second derivative of q**4/4 - q**3/3 + q**2 - 2*q + 205. Let y(v) = -v**2 - 8*v - 1. Let j be y(-7). Let u be (6/4)/(j/8). Give o(u).
10
Let w(q) be the third derivative of -q**8/480 - q**6/720 - q**5/120 - q**4/4 - 4*q**2. Let y(l) be the second derivative of w(l). Calculate y(-1).
14
Suppose 32 = 4*l + 4*a, 0 = -5*l + 4*a + 51 + 34. Let z(j) = -3*j + 17. Give z(l).
-22
Let u(n) be the third derivative of 0 + 0*n**6 + 0*n**4 + 0*n**3 - n**2 + 0*n - 1/12*n**5 + 1/1008*n**7. Let y(l) be the third derivative of u(l). Give y(1).
5
Let o(u) = 2*u + 8. Suppose 0 = 2*j + 3*r - r - 10, r - 25 = -5*j. Calculate o(j).
18
Suppose -36*r - 18 = -39*r. Let q(y) = 7*y**2 + y + 6. Let p(i) = i**2 - i + 1. Let a(d) = r*p(d) - q(d). Give a(-7).
0
Let u(a) = -a - 8. Suppose 0 = 7*r - 92 + 1. Determine u(r).
-21
Let v(p) be the second derivative of p**5/20 + p**4/2 + p**3/3 - 7*p**2/2 - 8*p. Let s = 67 - 72. Give v(s).
8
Let b(v) = -5*v**2 - 7*v - 2. Let n(l) = 4*l**2 + 6*l + 2. Let u(h) = 5*b(h) + 6*n(h). Give u(-3).
-10
Suppose 3*n + 21 = -3*v, -3*n + 9 = -2*v + 20. Let c(t) = t**3 + 7*t**2 + 5*t - 2. What is c(n)?
23
Let m(r) be the first derivative of -r**2/2 - 2*r - 5. Calculate m(-10).
8
Let v = 1127 + -1122. Let j(b) be the second derivative of -1/20*b**5 + 2*b**2 + b + 0 + 0*b**3 + 5/12*b**4. Calculate j(v).
4
Suppose -a + 11 = 5*g, -2*a = -3*g + 11 + 6. Let d(n) be the first derivative of 6 + 5/3*n**3 + g*n**2 - 1/4*n**4 + 4*n. What is d(6)?
4
Let z(n) = -n**3 + 11*n**2 - n + 10. Let m be (0/2)/((-20)/20) - -11. What is z(m)?
-1
Let c = 168 + -163. Let j(o) = -3*o + 2 + 3*o + 3*o - 6*o. What is j(c)?
-13
Let d(s) = s**3 + 3*s + 18. Let c(g) = -11*g + 0*g + 4*g + 6*g - 1. Let f(p) = 4*c(p) + d(p). What is f(0)?
14
Let u(v) = v**3 + v**2 - 1. Suppose 10*k = -28 - 22. Let h be 6/(-3) - (k - -4). Calculate u(h).
-1
Let x(p) be the second derivative of -p**4/12 + 2*p**3/3 + p**2/2 - 3*p + 53. Let n = 6 - 1. Determine x(n).
-4
Let p(z) be the first derivative of -z**4/2 + 7*z**3/3 - 3*z**2/2 - 4*z - 146. Calculate p(3).
-4
Let i = 23 + -13. Let l = 8 - i. Let g(t) = 3*t**2 + 5*t + 4. Let k be g(l). Let u(p) = p**2 - 5*p. Calculate u(k).
6
Let x(j) = j**3 + 5*j**2 - 7*j + 1. Let s(o) = -o**3 - 14*o**2 - 5. Let r be s(-14). Let i(l) = l**3 + 7*l**2 + 13*l + 9. Let d be i(r). What is x(d)?
7
Let o(p) = p**2 - 6*p - 8. Let n be o(7). Let i(l) be the first derivative of 2 + 5/3*l**3 - l**2 - l. What is i(n)?
6
Let g(l) = 3*l - 2*l - 11*l + l + 7*l. Calculate g(0).
0
Let n(b) = 3*b**3 - 4*b**3 - 3*b - b - 3*b + 5 + 6*b**2. Let v = -286 + 291. What is n(v)?
-5
Let f(u) = 2*u**3 + 5*u**2 + 3*u + 1. Let d = 11 - -7. Suppose -d = 3*c - 6*c. Suppose -m - c = m. Give f(m).
-17
Let 