- 6. Let v(w) = -8*w + 7. Let i(n) = 7*t(n) + 6*v(n). Determine i(-1).
6
Suppose 5*c = 4*c - 5, -3*c - 13 = -2*y. Let s(o) be the first derivative of -3*o**3 - o**2 - o - 1. Give s(y).
-8
Let t(h) = -9*h**2 + 1. Let q be ((-64)/24)/(2/(-3)). Let n = -5 + q. Give t(n).
-8
Let j(f) = 3*f + 4*f + 5*f**2 - 4*f - 4*f**2. Let l be j(-4). Let p(k) = -k**2 + 6*k - 4. Determine p(l).
4
Suppose 3*m = 2 + 4. Let l = 1 - m. Let g(t) = -2*t**3 + 1 + 0*t**3 - 5*t**3 + 3*t**3. Determine g(l).
5
Let d(c) = -c**3 - 5*c**2 + 4*c - 6. Suppose 6*x + 30 + 6 = 0. Determine d(x).
6
Let k(t) = t**3 - 2*t**2 + 3*t. Suppose -4*y - 4*f = -y - 6, -4*y - 2*f = -8. Suppose 2*a = 5*a, a + y = r. What is k(r)?
6
Let h(p) be the third derivative of -1/6*p**3 + 0 + 3*p**2 + 0*p - 1/120*p**6 - 1/60*p**5 + 1/24*p**4. Calculate h(-2).
1
Let w(f) be the second derivative of -f**4/12 + f**3/6 + 5*f**2/2 + 21*f. Determine w(4).
-7
Let k(v) = v**2 - 4*v + 2. Let t = 29 - 14. Let d = 17 - t. Determine k(d).
-2
Suppose 0*k - k - 3 = -2*u, -3*u = 6. Let t(p) = -13*p + 7. Let z(h) = -19*h + 10. Let d(i) = k*t(i) + 5*z(i). Give d(-1).
5
Let u(k) be the first derivative of 5/3*k**3 + k + 1/4*k**4 + 2 + 1/2*k**2. Suppose 2*t = -5*l + 15, t - 2*t + 5*l = 30. What is u(t)?
-4
Suppose -6 = -4*u + 10. Let m(p) = 7*p**2 - 14*p + 2. Let l(h) = 3*h**2 - 7*h + 1. Let o(w) = u*m(w) - 9*l(w). Determine o(-5).
-11
Let q(f) = 2*f**2 - 3*f**2 - 2 - 61*f + 67*f. Calculate q(4).
6
Let w(f) = -9*f**3 - 3 + 8*f**2 + 6 - f**3 + 11*f**3 + 9*f. What is w(-7)?
-11
Let d be ((-12)/(-18))/(2/33). Suppose 4 + d = 3*f. Let n be -1*f + (-2)/(-1). Let q(b) = b - 4. Calculate q(n).
-7
Suppose 8 = -f - 2*b, 2*f - 3*b = -0*f + 19. Let c(k) = 0 + 11*k**2 - k - 12*k**2 - f. Determine c(0).
-2
Let n(s) = -s**3 + 2*s**2 + 4. Let m = 1 + 1. Suppose 3*t - 3 = m*t. What is n(t)?
-5
Let z(l) be the second derivative of -l**4/12 - 2*l**3/3 - 5*l**2/2 - 19*l. Determine z(-4).
-5
Let o(x) = 4*x. Let y = 1 + 1. Let l(q) = 3*q + q - y*q. Let b be l(-1). Determine o(b).
-8
Let r = 29 + -29. Let o(y) be the third derivative of r*y + 1/30*y**5 + 1/3*y**3 + 0 + 1/12*y**4 + 2*y**2. Calculate o(-2).
6
Let u(c) be the second derivative of c**5/20 + 2*c**4/3 + 3*c**3/2 + 9*c**2/2 + 10*c. Determine u(-7).
-5
Let c(m) be the second derivative of m**3/6 - m**2 - m. Give c(5).
3
Let f(n) = -n**2 + 6*n - 3. Let c be (17/(-3))/((-8)/24). Let x = c + -8. Let p = -5 + x. Give f(p).
5
Let n(y) be the first derivative of -y**3/3 - 3*y**2 - 4*y + 4. What is n(-4)?
4
Suppose 0 = -0*r + 2*r - 516. Let j be r/54 - (-2)/9. Let g be ((-6)/j)/((-1)/5). Let k(u) = -2*u + 4. Give k(g).
-8
Suppose -2*i - 3*q + 5 = 0, -i + 0*i = -4*q - 8. Let n(y) = -i*y**2 - 1 + 0 + 2*y**2 + 3*y**2 + 3*y. Give n(3).
17
Let l(m) = m**2 + 7*m + 6. Let g be 2/(-3*(-1)/3). Let s be -2*g*(-2)/4. Let b(n) = -2*n**3 + 4*n**2 - 3*n + 2. Let r be b(s). What is l(r)?
-6
Let g(s) be the third derivative of s**6/120 + s**5/12 + s**4/8 + 2*s**3/3 + s**2. Let h be 10/(-15)*(4 - 10/(-5)). Determine g(h).
8
Let l = 5 - 2. Let g(j) = j**2 - 2*j - 3. What is g(l)?
0
Let a = 4 - 1. Suppose 0 = -a*x + 3 + 12. Let c(d) be the second derivative of d**4/12 - 5*d**3/6 + 3*d**2/2 + 3*d. What is c(x)?
3
Let a(h) be the third derivative of h**4/24 - 2*h**3/3 + h**2. Suppose -36*p = -16*p. What is a(p)?
-4
Suppose 0 = -3*n - 6, -l + n - 14 = -0*l. Let w be (-2)/(-8) - (-68)/l. Let a(q) = 7*q - 7. Let y(c) = 3*c - 3. Let z(d) = -4*a(d) + 9*y(d). Determine z(w).
5
Let l(c) = -2*c**3 + c**2 + 4*c - 4. Let u(v) = v**3 - v**2 - 2*v + 2. Let s(q) = 6*l(q) + 13*u(q). What is s(7)?
-12
Let o(n) = -n**2 - 4*n + 1. Let k(g) = -g**2 - 6*g + 7. Let r be k(-7). Suppose r = 7*j - 2*j + 25. What is o(j)?
-4
Let y(i) be the second derivative of i**4/12 - 2*i**3/3 - i**2/2 - i. Let r be y(5). Let k(h) = h**2 - 4*h + 6. Calculate k(r).
6
Let x(m) = 18*m - 3 - 3 + 0 - 20*m. Determine x(-4).
2
Let k(t) = -t**3 + 7*t**2 - 7*t - 1. Let f be 25/5*(-3)/5. Let h = f - -9. Determine k(h).
-7
Let u(l) = -l**2 + 4*l + 4. Suppose 17*r = 3*j + 18*r - 18, 0 = 2*j - 4*r - 12. Give u(j).
-8
Let a(n) = -5*n**3 + n**2 - 1. Let i be a(1). Let t(x) = 25*x + 19*x - 1 + 3 - 43*x. Calculate t(i).
-3
Let j(v) = v**3 + 7*v**2 + 5*v + 3. Let h(g) = g**3 - g + 1. Let r(c) = 2*h(c) - j(c). What is r(8)?
7
Let y(r) = -1 - 2*r + 2*r**3 - 1 + r - 2*r**2. Let l(b) = b**3 - 5*b**2 + 5*b - 2. Let k be l(4). Let o be 0/(-1) + 1*k. Calculate y(o).
4
Let j = 14 + -11. Let h(t) = t**2 - 2*t. Calculate h(j).
3
Let g(j) = -17*j + j + 2 + 10*j + 9*j. Give g(-2).
-4
Let r(w) = 14*w**2 - 2*w + 1. Let s be (((-4)/(-3))/(-4))/(8/(-24)). Calculate r(s).
13
Suppose 4*f + 2*n = 44, 36 + 11 = 3*f - 2*n. Suppose 2*p = -5*c - f, -7*c - 25 = -2*c + 5*p. Let s(q) = 14*q**3 + q**2 + q + 1. Give s(c).
-13
Let h(o) be the third derivative of o**6/40 + o**5/30 - o**4/4 - o**3/6 + 4*o**2. Let d(l) = -l**3 + l**2. Let c(z) = -2*d(z) - h(z). Calculate c(-5).
-4
Let q(u) be the third derivative of u**7/2520 - u**6/720 - u**5/15 + u**2. Let x(m) be the third derivative of q(m). Give x(4).
7
Let v(h) = 4*h**2 - 1. Suppose 2*u + 4 - 8 = 0. Suppose 5 = -u*l - 3*l. Calculate v(l).
3
Let l = -599/12 - -50. Let c(t) be the third derivative of t**2 + 0 + 0*t + l*t**4 - 1/60*t**5 - 1/3*t**3. Calculate c(4).
-10
Let h(o) = 24*o - 5. Let z(v) = 49*v - 10. Let t(y) = -9*h(y) + 4*z(y). Let d(i) = 13*i - 3. Let u(n) = 8*d(n) + 5*t(n). Calculate u(2).
9
Let i(s) = s**2 + 5*s + 7. Let w(d) = 4*d**2 + 15*d + 21. Let x(a) = -7*i(a) + 2*w(a). Calculate x(6).
-1
Let u(k) = 29 + 26 + 21 - 67 - k. Determine u(5).
4
Let d(n) be the third derivative of n**5/30 - n**4/6 - 5*n**3/6 - 2*n**2. Suppose 4*s + 120 = -s. Let p be ((-2)/(-6))/((-2)/s). Give d(p).
11
Let u(c) = -4 - 5*c**2 - 1 + c**3 + c - 2. Let g = 86 - 81. What is u(g)?
-2
Let h = -2 + 4. Suppose 2*l = -h*l + 16. Suppose 4*g - 16 = f - 4*f, -8 = -l*f - 2*g. Let r(b) = -b**2 - b + 8. What is r(f)?
8
Let p(c) = 3*c + 57. Let x(j) = -j - 19. Let n(s) = 6*p(s) + 17*x(s). Let a be n(-14). Let w(i) = -i**3 + 6*i**2 - 5*i - 7. What is w(a)?
-7
Let s(l) = -l + 5 - l**2 - l**3 - l**3 + l**3. Let m be (-7)/21 - (-37)/3. Suppose 4*w = -5*u - m, -2*w - 15 = -4*u + 3*w. What is s(u)?
5
Let l(i) = -3*i. Let b = 3 + 2. Let v(y) be the first derivative of 7*y**2/2 - y + 1. Let d(p) = b*l(p) + 2*v(p). Give d(0).
-2
Let y(v) = -16*v**3 - 25*v**2 - 6*v + 15. Let s(w) = 3*w**3 + 5*w**2 + w - 3. Let q(t) = 11*s(t) + 2*y(t). Determine q(-5).
2
Let r(y) = -2*y**2 - 4*y**2 + 7*y**2 + 7 + 6*y - 3*y**2. Determine r(5).
-13
Let x(o) = o**2 - 1. Let k(i) = -3*i**2 + 5*i + 5. Suppose z = -z + 8. Let v(m) = z*x(m) + k(m). Give v(-6).
7
Let b(o) = o**3 + o + 1. Let a(k) = -4*k**3 + k**2 - 7*k - 5. Let r(l) = a(l) + 6*b(l). Determine r(1).
3
Let p(r) = 3 + r + 5 + 0*r. Let x be p(-4). Let j(y) = 5*y**2 - 7*y + 3. Let h(a) = 11*a**2 - 15*a + 7. Let l(v) = -4*h(v) + 9*j(v). Calculate l(x).
3
Let k(z) = z**3 - 3*z**2 - 3*z. Let y(p) = -4*p**2 - 4*p. Let d(g) = -4*k(g) + 3*y(g). Calculate d(-1).
4
Let r(j) = 1 - 2 + 8*j**2 - j**2. Give r(1).
6
Let j(t) = -t**3 + 6*t**2 - 6*t - 5. Let k be j(5). Let b = 13 + k. Let i(l) = -l + 2*l + 2*l - b. Determine i(5).
12
Let n(f) be the third derivative of 1/60*f**6 - 1/12*f**4 + 1/6*f**3 - 1/30*f**5 + 0 + 2*f**2 + 0*f. What is n(2)?
5
Let o(u) be the third derivative of 9*u**2 + 0 + 1/2*u**3 + 0*u - 1/12*u**4 + 1/15*u**5 + 1/120*u**6. What is o(-4)?
11
Let q(z) be the third derivative of -z**5/60 + z**4/4 - z**3/6 - 6*z**2. Determine q(4).
7
Let w be -3*(-2)/6 - 1. Let o = w + 4. Let l(s) = -2*s + 0*s**3 - 2*s**3 - 2 + 3*s**3 - 3*s**2. What is l(o)?
6
Let g(f) = f**2 - 4*f - 1. Let y be 7/(-3) - 1/(-3). Let d = y - -4. Calculate g(d).
-5
Let q(x) = 14*x + 3. Let y(l) = -9*l - 2. Let g(u) = -5*q(u) - 8*y(u). Suppose 4*w = -2*n - 3 - 11, -5*w - 22 = -2*n. Calculate g(w).
-7
Let q = 23 + -11. Suppose -3*t = t - q. Let w(v) = 1 + 0*v + 0*v + t*v. Determine w(2).
7
Let n(f) = -1 - 1 - 2*f + f + 182*f**2 - 183*f**2. Calculate n(4).
-22
Let l(y) = 7*y**2 - 6*y - 3. Let p(x) = 13*x**2 - 11*x - 6. Let i(f) = -11*l(f) + 6*p(f). Determine i(4).
13
Let r(n) = n**3 + 4*n**2 - 3*n - 1. Let j(q) = q - 1. Let t(d) = 3*j(d) + r(d). Suppose 30 = -7*z - 