- 11*z**4/24 - 4*z**3/3 + z**2. Let f = 103 - 113. Determine m(f).
2
Let h = -7 + 12. Let i(y) = y**3 - 3 - 2*y + y + 2 + 6*y**2 - 5*y**2. Let p(k) = -7*k**3 + 9. Let g(u) = -6*i(u) - p(u). What is g(h)?
2
Let d(a) = -a - 11. Suppose 3*o - 24 = -4*l, -2*o - 15 = -3*o + l. Let z = o - 9. Let f be -8 + (4 - 4)/z. Calculate d(f).
-3
Suppose -69*t = -58*t. Let r(y) be the second derivative of -1/12*y**4 - 3*y + t - 3/2*y**2 - 7/6*y**3. Calculate r(-3).
9
Let u(i) be the first derivative of i**3/3 - 11*i**2/2 - 10*i - 56. What is u(12)?
2
Let x(r) = -r**3 - 5*r**2 - r + 4. Suppose -4*q + 11 + 13 = 0. Suppose q*b = 5*b - 3. What is x(b)?
-11
Let o(w) be the third derivative of -w**7/2520 + w**6/144 + w**5/120 - 7*w**4/8 + 17*w**2. Let b(d) be the second derivative of o(d). What is b(5)?
1
Let o(x) be the first derivative of 0*x + 3 + 13/2*x**2. Suppose -3*g + 10 = -5*s, 0 = 3*s + 3*g - 18 - 0. What is o(s)?
13
Let z(n) = -n**3 + 3*n**2 + n + 4. Let b(t) = t**2 - 14*t + 26. Let o be b(12). Suppose -o*r + 11 = 3*r + 4*k, -r + k + 4 = 0. Give z(r).
7
Let n(s) = 3*s**2 - s + 12. Let y(i) = 5*i**2 - 2*i + 26. Let p(x) = 13*n(x) - 6*y(x). Let v be (-2)/4*(0 + -4). Let h be 1/v*(2 + 0). Calculate p(h).
8
Suppose 0 = 10*k - 21 - 39. Let f(r) be the first derivative of r**4/4 - 5*r**3/3 - 7*r**2/2 + 4*r - 1. Determine f(k).
-2
Let s(o) = 2*o**2 - 15*o + 12. Let c be s(7). Let g(l) = l**2 - l - 6. What is g(c)?
14
Let n(l) = -3*l - 16. Let o(s) = -4*s + 1. Let q be o(2). Give n(q).
5
Let a(w) = -w - 4. Let m be a(0). Let q = -8 - m. Let i = q + 2. Let f(t) = 4*t - 1. Determine f(i).
-9
Let p(d) = 3*d - 1. Let f be p(6). Let k = 9 + -2. Suppose -5*r = b + f - 2, -r - k = b. Let i(x) = x**2 + 6*x - 6. Calculate i(b).
-11
Let x(z) = -z**3 + 3*z**2 + 3. Let f(j) = 8 + 3*j + 3*j + 2 + 3*j**2 - 2*j**2. Let n be f(-7). Let m = -14 + n. Give x(m).
3
Let j(a) = a - 315 + 621 - 312. What is j(-5)?
-11
Suppose -38*v + 14 = -31*v. Let t(x) be the second derivative of 1/4*x**4 + 1/6*x**3 - 1/2*x**2 - v*x + 0. Calculate t(-2).
9
Let j(h) = 15*h**2 - 14*h**2 + 53*h - 48*h - 10. Determine j(-6).
-4
Let l(z) = -13*z + 5. Let q be l(-13). Let t(o) = -7*o**2 - o**2 - q*o - o**3 - 5 + 165*o. What is t(-7)?
9
Let a(c) be the second derivative of -c**4/12 - 7*c**3/6 - 5*c**2/2 - 2*c + 7. Give a(-4).
7
Suppose -2*l + 5 - 1 = 4*q, -5*l = 2*q - 2. Let r(g) = -6*g - 1. What is r(q)?
-7
Let d(k) = -514 + 250 - k**2 + 8*k + 258. What is d(7)?
1
Let o(k) be the second derivative of -3*k**5/5 + 4*k. Suppose 8*x - 9 = 9*x. Let p be (-7)/x + (-10)/(-45). Determine o(p).
-12
Let v(f) = f**3 - 9*f**2 + 8*f + 6. Let g(n) = 4*n + 52. Let t be g(-11). Give v(t).
6
Let k(h) be the third derivative of h**6/120 - h**5/20 - h**4/12 - h**3/3 + 32*h**2. Let l be 13/(52/24) + -2. Calculate k(l).
6
Let f(x) = x**3 - 3*x**2 + 3*x - 3. Let l = 55 - 49. Let i be ((-6)/15)/(l/(-30)). Calculate f(i).
-1
Let p(g) = 9*g + 1 + 1 - 1 + 5 - 3*g. Calculate p(-5).
-24
Let o(m) = m**2 - 10*m + 12. Let i be o(9). Suppose -1 = u - i. Suppose -u*t + 2 = -4*w, -5*t + 2*t - 27 = 4*w. Let j(z) = -z + 1. What is j(w)?
4
Let b(h) be the first derivative of h**2/2 + 3*h - 507. What is b(-6)?
-3
Let k(t) be the third derivative of -t**5/60 + 5*t**4/24 - t**3/6 - t**2. Let r = -105 - -57. Let s = r + 54. Calculate k(s).
-7
Let h(l) = l**2 - 9*l + 5. Let w = 1 - 3. Let o(t) = 11*t + 47. Let q be o(-4). Let g(c) = c**2 - 10*c + 6. Let v(k) = q*h(k) + w*g(k). What is v(6)?
-3
Suppose 66 = 4*o - 2*w, 3*o + w - 49 = 2*w. Suppose -2*n - 3*x = 1 - o, 0 = -5*n - x + 18. Let k(f) = -5*f - n + 3. Determine k(1).
-5
Let p(l) = 3*l**2 - 13*l - 18. Let m be p(5). Let a(k) = -k - 18. Give a(m).
-10
Let l(j) = -8*j**2 + 7*j + 2. Let u(y) = -11*y**2 + 6*y + 1. Let f(q) = 4*l(q) - 3*u(q). What is f(-7)?
-16
Let c(q) = q**2 - 11*q - 87. Let r be c(-6). Let t(a) = a**3 - 16*a**2 + 14*a + 9. Calculate t(r).
-6
Let k(v) = 2*v + 1. Let q(b) = -b**3 + 9*b**2 + 11*b + 2. Let i be q(10). Let g = i - 8. Suppose -2*u = h - 5*u - 4, 3*h + 27 = -g*u. Calculate k(h).
-9
Suppose 3*w + 21 = -3*g + 3, g + 26 = -5*w. Suppose 5*p + 45 = 5*r - 0*p, 5*r - 2*p - 51 = 0. Let j(x) = r*x + 6*x - 22*x - 1 + 3*x. Give j(g).
1
Let r(u) = u - 18. Let n(w) = -2*w**2 + 78*w - 64. Let o be n(38). Determine r(o).
-6
Let b(a) = -a**3 - 5*a**2 + 7*a + 8. Let m be b(-6). Let x(y) = -y**3 - 8*y**2 - 4*y. Let w(g) = -g**3 - 9*g**2 - 3*g. Let r(z) = m*w(z) - 3*x(z). Give r(-5).
-5
Let f(t) = t**3 + 8*t**2 + 7*t + 5. Let d(x) = -x. Let i(y) = -y**3 - y**2 - 3*y - 3. Let k be i(-2). Let l be d(k). Give f(l).
5
Suppose 4*m - 18 = 6. Let k(h) be the second derivative of 8*h - 5*h**2 + 1/6*h**3 + 0. Determine k(m).
-4
Let x(h) be the first derivative of -1/2*h**2 - 6 + 11*h. Calculate x(8).
3
Let o(a) = a**3 - 4*a**2 + 3*a - 5. Let d(z) = -6*z**3 + 10*z**2 + 20 + 6*z**2 + 0*z**3 - 12*z + z**3. Let k(f) = 2*d(f) + 9*o(f). Determine k(-5).
5
Let k(y) = 2*y**2 + 5*y + 4. Let h(w) = 2*w**2 - w - 11. Let l be h(5). Let r = 31 - l. What is k(r)?
7
Let h(d) = 7 + 38*d + 28*d - 89*d + 28*d. Give h(-3).
-8
Let q(d) = -55*d - 30. Let x(p) = 47*p + 29. Let i(a) = 6*q(a) + 7*x(a). What is i(9)?
14
Let f(k) be the first derivative of -k**3/3 + 5*k**2/2 + 11*k + 14. Determine f(7).
-3
Let r(k) = k**2 - 2*k - 14. Let y be r(6). Let n = y + -13. Let a(v) = -v**2 - v + 2. What is a(n)?
-4
Let h(f) = -45*f**3 + 4*f**2 + 4*f - 3. Let w(s) = 45*s**3 - 5*s**2 - 5*s + 4. Let r(l) = 5*h(l) + 4*w(l). Give r(-1).
46
Suppose 311*z - 301*z = 30. Let v(a) = -5*a**2 + 5*a - 2. Give v(z).
-32
Let v(a) be the third derivative of -a**8/6720 - a**7/420 - a**6/240 + a**5/30 + 5*a**4/24 + 4*a**2. Let c(o) be the second derivative of v(o). Determine c(-5).
-6
Let d be -2 + 0 - -2 - -4. Let k(t) be the second derivative of -t**4/12 + t**3/6 - t**2/2 - 19*t. Give k(d).
-13
Let u(n) = -64*n - 8. Let f(w) = -7*w - 1. Let x(i) = -28*f(i) + 3*u(i). Suppose 32*y + 12*y + 176 = 0. Determine x(y).
-12
Let j(i) = 74*i - 1 + 37 + 13 - 242*i. Let d(y) = 7*y - 2. Let c(n) = -49*d(n) - 2*j(n). Calculate c(2).
-14
Let r(x) = 0*x**2 + 5*x - 2 + 3*x - x**2 - 1. Let m be (-3)/(-12) + 322/(-8). Let u = 47 + m. What is r(u)?
4
Let d(a) = 8*a**2 + a. Let w be d(1). Let u(h) = h - 11. Give u(w).
-2
Let d = -4 - -12. Let b(g) = 2*g**2 + 2*g + g - d + 11. Determine b(-3).
12
Suppose 0 = -b - 7. Let t(u) be the third derivative of -u**4/24 - 5*u**3/3 - 603*u**2. Calculate t(b).
-3
Let g(j) = -9*j**2 - 12*j - 18. Let q(v) = 2*v**2 - v + 1. Let i(b) = g(b) + 5*q(b). Calculate i(16).
-29
Let y(v) be the third derivative of -1/2*v**3 - 6*v**2 + 1/12*v**4 + 0*v + 3. Let a be 22/(-4) + 2/4. Give y(a).
-13
Suppose v - 4 = 3*n + 4, 5 = -5*n. Let g(j) = -6 - v*j + 8 + 4*j. Calculate g(-6).
8
Let r(j) = j**2 + 12*j + 33. Let b be r(-7). Let z(u) = 2*u**3 + u**2 - 2*u - 2. Determine z(b).
-10
Let o(d) = -d**2 - 6*d - 5. Let p be (-16)/40*5/2*-5. Give o(p).
-60
Let s(n) = -n**2 - 7*n. Suppose -a - 9 = -5*d + 1, -d - 2*a + 2 = 0. Suppose -d*v + 9 = -2*j - 11, v - 4 = 0. Give s(j).
6
Let n(k) = 2*k + 10. Let d(v) = -v**3 - 13*v**2 - 2*v - 5. Let p be d(-13). Suppose -30*l = -33*l - p. Give n(l).
-4
Let u(j) be the first derivative of 2/3*j**3 + 27 + 0*j + 1/2*j**2. What is u(1)?
3
Let r(s) = 10*s**2 - 3*s - 5. Let l(t) = -7*t**2 + 2*t + 3. Let i(a) = 7*l(a) + 5*r(a). Give i(-2).
2
Let o(h) = h**2 - h - 5. Let g be (-1 + 0)/(3/(-27)). Suppose 2*v - 9 = v. Let q = v - g. Calculate o(q).
-5
Let k(l) be the second derivative of -l**5/24 + l**4/8 - 17*l**3/6 - 16*l. Let u(i) be the second derivative of k(i). Give u(2).
-7
Let j(w) = -w**3 - 6*w**2 - 6. Suppose -q - 2*q = -63. Suppose 4*d - 6*d + 4 = -i, 4*i + q = 3*d. Determine j(i).
-6
Let h(m) = -2*m**2 + m - 1. Let b(p) = -11*p**2 + 3*p - 14. Let i(k) = b(k) - 5*h(k). What is i(-7)?
-44
Let m(s) = -s**3 + 4*s**2 + 8*s - 6. Let a be m(5). Suppose -x = -11 + a. Let n(p) = p**3 - 4*p + 3. Calculate n(x).
3
Let u(c) = -66 - 66 + 129 - c. Let s(q) = -q**3 - q**2 - q + 1. Let f be s(1). Let z be f/(4/1)*0. Calculate u(z).
-3
Let g be 1250/(-375)*2*3/(-2). Let y(o) = -o - 5. Give y(g).
-15
Let p(v) = -v**2 + 6*v - 6. Let u be (-2)/(-5)*(-30)/3 - -7. Let m(n) = 2*n**2 - 12*n + 11. Let w(o) = u*m(o) + 5*p(o). Give 