 Determine h(0).
1
Let y(x) = 19*x**2 + 49*x - 16. Let v be y(-3). Let i(r) = 7*r + 1. What is i(v)?
57
Let k(w) = 4*w. Let z(a) = -a**3 + 6*a**2 + 4*a - 6. Let i(m) = -m**3 + 5*m**2 + 3*m - 5. Let v(s) = 5*i(s) - 4*z(s). Let b be v(0). What is k(b)?
-4
Let f(b) be the first derivative of b**4/4 - b**3 - 3*b**2/2 + b + 101. Give f(4).
5
Let y(i) be the third derivative of 1/60*i**5 + 7*i**2 + 0*i - 1/12*i**4 + 0 - 1/3*i**3. What is y(3)?
1
Let r(j) = 9*j**2 + 23*j + 6. Let u(n) be the second derivative of 5*n**4/12 + 2*n**3 + 3*n**2/2 - 4*n - 4. Let m(p) = 4*r(p) - 7*u(p). Give m(-8).
3
Let f(a) = -a**2 + 2*a + 6. Let v be f(-2). Let s(t) = -t**3 + 2*t - 1. What is s(v)?
3
Let r = 34 + -30. Let u(z) = z + r*z + 0 - z**2 - 3. Calculate u(4).
1
Suppose -v - 12 = -5*q - 38, -3*q + v = 14. Let d(f) = 4*f**2 + 7 + f**3 - 1 - 6*f + f**2. Calculate d(q).
6
Let i be 16/6 - 4/6. Suppose -3*a = 2*f - 7, 0 = -f - 2*a + 1 + 3. Let g(y) = -2*y**i + y + 2*y + 5*y**2 + y**3 + f*y**2. Calculate g(-4).
4
Let y(j) = 4*j**3 + 3*j**2 - 3. Let l(n) = 5*n**3 + 2*n**2 - 2. Suppose -2 - 2 = g. Let o(v) = g*l(v) + 3*y(v). Determine o(1).
-8
Let y(x) = -x**2 + 5*x + 8. Let w be (-676)/(-10) - 4/(-10). Let u = w + -96. Let d = -22 - u. Give y(d).
2
Let l(b) = b**2 + 58*b + 750. Let d be l(-19). Let k(q) be the second derivative of -q**3/6 + 13*q**2/2 - q. What is k(d)?
4
Let k = 15 + -14. Suppose -3*n = 5*x - 7, 3*x - 7 + k = 0. Let a be 3 + 2 - (-1)/n. Let r(t) = t + 5. Calculate r(a).
9
Suppose 3 = -4*s + v - 13, -5*s - 5*v - 45 = 0. Let t(o) = -2*o - 7. Give t(s).
3
Let i(b) = -b**3 + 6*b**2 - 2*b + 7. Suppose 2*o = 2*s - 6, -2*o - 4*s + 14 = -s. Let n = 2 - 0. Let r be n*((1 - o) + 3). What is i(r)?
-5
Let m(d) = d - 1. Let k be m(-5). Let j = -3 - k. Let s(c) = -5*c + c**2 + 4 - c**3 + 7*c**3 - 7*c**3 + 3*c**2. What is s(j)?
-2
Let z(u) be the second derivative of -7*u**3/6 + 5*u**2/2 - 69*u. Give z(6).
-37
Let z(k) be the first derivative of 11*k**3/3 + k**2 + 3*k + 612. Determine z(-2).
43
Let o be (-1 + 11)*4/(-10). Let l = 9 + o. Let n(u) be the second derivative of u**5/20 - u**4/2 + 2*u**3/3 - 23*u - 2. Determine n(l).
-5
Suppose 0 = 2*s + 4, 10*y + 25 = 15*y - 5*s. Let j(h) = -h + 7. Determine j(y).
4
Let h(q) = -3*q - 13. Let u(s) = 3*s + 12 - 21 - 5*s. Let m(o) = 5*h(o) - 8*u(o). Let t(i) = i**3 - 8*i**2 + 5*i + 7. Let p be t(7). What is m(p)?
0
Let r(a) be the third derivative of -a**6/60 - 23*a**5/30 + a**4/24 + 11*a**3/3 + 2*a**2 + 186. Calculate r(-23).
-1
Let v(h) = -h**3 + 10. Let a = 21 + -16. Suppose a*y = -3*n + 20, -5*n - 5*y + 9 = -11. What is v(n)?
10
Let b(x) = 5*x - 129. Let n be b(26). Let p(u) = -4*u**3 + 1. Calculate p(n).
-3
Let p(z) = -1 - 7*z + 17*z - 9*z. Let d be (8 - 2)*4/6. Calculate p(d).
3
Let h(n) = -3*n - 41. Let w(v) = -2*v - 27. Let t(s) = -5*h(s) + 8*w(s). Suppose 0 = u - 3*q, 3*q - 4*q = 0. Suppose u = a + 4*a + 35. Give t(a).
-4
Let i = 29 + -21. Let o(r) be the first derivative of r**4/4 - 3*r**3 + 4*r**2 + 7*r - 19. Determine o(i).
7
Suppose -91 + 552 = -95*w - 394. Let o(g) = -4*g**2 - 10*g + 4. Let a(k) = -5*k**2 - 10*k + 5. Let r(s) = 3*a(s) - 4*o(s). Calculate r(w).
-10
Let h(c) = -c. Let z(n) = 4*n - 6. Let v be 76/(-12) + 2/6. Let q(i) = -i**2 - 7*i - 9. Let g be q(v). Let w(k) = g*h(k) - z(k). Calculate w(5).
1
Let n(l) = 7*l**3 - l**2 - 12*l + 11. Let d(i) = 4*i**3 - 6*i + 6. Let b(z) = 5*d(z) - 3*n(z). Suppose 12 = 2*x - 0. Suppose 0 = -x*q + q + 20. Give b(q).
5
Let g(n) = -3*n**2 + 5*n**2 + 2 - 3*n + 2*n**2 - 2*n**3. Let f(j) = -j**2 - 5*j - 4. Let c be (36/(-10))/3*10/4. Let y be f(c). What is g(y)?
-4
Let l(b) be the third derivative of b**4/12 - 11*b**3/6 + b**2. Suppose 2*t + 4*y = 28 + 4, 2*t - 8 = 2*y. Determine l(t).
5
Suppose 0*r - r - 5 = 0. Let y be ((-16)/(-6))/8 - 88/(-6). Let z(d) = -10 + 30 - d**2 - y - 2*d. Calculate z(r).
-10
Let z(s) = 245448*s**3 + 1 + 0*s - 245447*s**3 - 5*s**2 - s. Suppose 0*c = -c + 4. Suppose -c = -i - 6, 3*i - 4 = -2*p. What is z(p)?
-4
Let o(t) = -2*t + 26. Let d be 8/(-10) + (-122)/10 + 13. Give o(d).
26
Let k(b) = -b + 2. Let i be k(-4). Let y(p) = 2 + 0 + 7*p - i*p - 2*p. Calculate y(6).
-4
Let u(v) = 11 + 34 - 44 + 28*v. Determine u(1).
29
Let l(z) be the first derivative of -3*z**2/2 + 105. Calculate l(5).
-15
Let u(y) be the first derivative of y**4/4 + 7*y**3/3 - 5*y - 2747. Let b = 3 + -4. Let q be (-1)/((-2)/14*b). Give u(q).
-5
Let r(h) = -h**2 - 16*h - 16. Suppose 0 = i - 4*g + 6, 2*g = -4*i + 2*i - 32. Calculate r(i).
12
Let w(t) be the third derivative of -1/6*t**4 + 10*t**2 - 1/2*t**3 + 0 + 0*t. What is w(-5)?
17
Let n(v) = 1 + 2*v - 1 - 3*v + 6*v**2 - v**3. Let a = 51 - 6. Suppose -5*y + 3*q + a = 0, 0*y - y - 14 = 4*q. Calculate n(y).
-6
Let t = 64 - 66. Let u(c) be the third derivative of c**7/630 + c**6/240 + c**5/40 - c**4/24 + c**2. Let z(l) be the second derivative of u(l). Calculate z(t).
13
Let d = 16 - -8. Let b be (-42)/d - (-2)/(-8). Let s(i) = -i**2 + 2*i + 2. Calculate s(b).
-6
Let o(p) = 2*p + p + 4*p - 2*p. Suppose -9*s + 4*s = -5. Give o(s).
5
Let x(p) = 2*p + 395. Let r be x(0). Let l(s) = -s + 197*s**2 + 1 - r*s**2 + 199*s**2. What is l(0)?
1
Suppose c = 2*c - 5, 0 = 4*j + 4*c - 44. Let u be (j - 7)/(-1*1/(-3)). Let m(t) = -t**3 - 3*t**2 - 5*t - 4. What is m(u)?
11
Let q(c) = 1 + 7*c**2 + 7*c**2 - 15*c**2. Suppose -5*u = 25, -u - 6 = o + 2. Determine q(o).
-8
Suppose 2*c + 0*a - 6 = -a, 2*c - 4*a = -14. Let z be (2 - 0 - 2)/(2 + 1). Let s(t) = -1 - 8*t**2 + z*t**2 + 4*t**2. Determine s(c).
-5
Let d(p) = 15*p**3 + 27*p**2 + 7*p + 11. Let k(i) = -13*i**3 - 24*i**2 - 7*i - 10. Let l(a) = 6*d(a) + 7*k(a). Determine l(-4).
-8
Let m(y) = -y**3 - 2*y**2 - 3*y - 4. Let q(s) = -3*s**2 - 1. Let b(u) = m(u) - 2*q(u). Give b(4).
-14
Let n(l) = 4*l**2 - 23*l - 2. Let w(g) = -3*g**2 + 20*g. Let p(i) = -2*n(i) - 3*w(i). Calculate p(10).
-36
Let d(x) = 14*x - 7*x - 2*x - 6*x - 7. What is d(-5)?
-2
Let k(q) = -2*q**2 + 3*q - 1. Suppose 4*a - 3*z - 6 = -5*z, -a + 5*z + 18 = 0. Give k(a).
-10
Let v(y) = 27*y + 6. Let m be v(1). Let j = -33 + m. Let i(l) = -l**2. Calculate i(j).
0
Let b(g) = -g**3 - g**2. Let d(f) = 2*f**2 + 2*f - 1. Let s(o) = b(o) - d(o). What is s(-2)?
1
Suppose 3*g - 5 - 4 = 0. Let u(b) = b**2 + 3*b - 10*b - 6*b**2 - 2 + b**g. Let l be 87/15 + (-1)/(-5). What is u(l)?
-8
Let j(z) be the third derivative of -z**5/120 - z**4/8 + 23*z**3/6 + 29*z**2. Let o(x) be the first derivative of j(x). Calculate o(-7).
4
Let b(r) = 14*r - 3. Let z(h) = 6*h - 2. Let t(u) = 4*b(u) - 7*z(u). Determine t(-1).
-12
Let f(x) = -9*x - 103. Let h(u) = -u - 25. Let b(o) = -f(o) + 4*h(o). Let l(a) = -a**3 - 4*a**2 + 3*a - 7. Let k be l(-5). Determine b(k).
18
Let q(y) be the third derivative of y**5/60 + 2*y**4/3 + y**3/2 + 8*y**2. Let b be q(-16). Let j(z) = -11*z**2 + b*z + 2*z - 6*z + 4 + 12*z**2. What is j(0)?
4
Suppose -6*f + 286 = 52. Let v = 35 - f. Let o(r) = -r**2 - r + 4. Calculate o(v).
-8
Let g(h) = 38*h - 68. Let l(s) = -7*s + 14. Let m(r) = 3*g(r) + 16*l(r). What is m(-11)?
-2
Let a(f) = -3*f + 4. Let y = 18 + -12. Let s be y - (-1 + 1 - -3). Suppose 2*d - 8 = -5*r + 20, s*r - 4 = 2*d. Calculate a(r).
-8
Let q(n) = 2*n**2 - 3*n - 7. Suppose 0 = -9*i + 7*i - 4*s - 10, -i + 2*s = 1. Determine q(i).
20
Let p(t) = 26*t**2 + 9*t**2 - 42*t**2 - 2*t - 1. Calculate p(-1).
-6
Let r(u) = u - 4. Let j be 25 - (-3)/(0 - 3). Suppose 4*h - s + j = -9, 5*s = 5*h + 60. Give r(h).
-11
Suppose -4*o + 21 + 6 = -3*b, o + 7 = -2*b. Let d(q) = 7*q + 4. Calculate d(o).
25
Let v(l) = 4*l + 1. Let r be 2 + 0 + (0 - -15)/5. Suppose 1 = -2*x - r. Calculate v(x).
-11
Let n(v) = -5*v + 2. Let t(c) = -9*c + 3. Let k(s) = -7*n(s) + 4*t(s). Suppose -3*m = 2*m - 30. Calculate k(m).
-8
Let n(l) = 2*l**2 - 11*l - 5. Let o(b) = -3*b**2 + 13*b + 6. Let z(i) = -7*n(i) - 6*o(i). Determine z(1).
2
Let c(v) = -v - 4. Suppose -29 = 4*t - z, 5*z - 55 = 5*t - 0*z. Calculate c(t).
2
Let y(q) = 14*q**3 - 15*q**2 - 20*q - 55. Let p(v) = -5*v**3 + 5*v**2 + 7*v + 19. Let g(h) = -17*p(h) - 6*y(h). Let l = 20 + -14. Let u = l - 11. What is g(u)?
2
Let h = 138 - 135. Let j(g) = 7*g + 34. Let f(m) = -4*m - 18. Let o(p) = h*j(p) + 5*f(p). Let q = -13 + 8. Determine o(q).
7
Let p(k) = k**2 + 8*k -