j - 4. Let r(t) be the second derivative of t**4/12 + 5*t**3/6 + 2*t**2 + 15*t. Determine r(j).
0
Let x(h) = h**3 + h**2 - 4*h - 1. Let o = -2 - -7. Let p = -6 - 2. Let i = o + p. What is x(i)?
-7
Suppose 3*w - 18 = -y, 0 = 4*w + 5*y - 9 - 15. Let n(q) = q**3 - 6*q**2 - q + 6. Let d be n(w). Let o(s) = s**3 - s**2 - s + 7. Give o(d).
7
Let u = 127 - 124. Let z(m) be the third derivative of m**5/60 + m**4/8 - m**3/3 - 2*m**2. Determine z(u).
16
Let c(k) = 3*k**2 - 3*k + 1. Suppose -2*f = 5*h, -h + 6*h = -4*f. Suppose 0 = -b + 6 - f. Let v be b/(-4)*(-4)/3. Determine c(v).
7
Let l be 1*2*(14 + -9). Suppose 0 = -6*r + r - l. Let q(x) = x**2 + 2*x - 1. What is q(r)?
-1
Let k(b) = -3*b + 1. Suppose 3*c + 5*w = -1, 4*w = w + 3. Let y = c + 5. Suppose 5*u + 1 = -z, 3*z + 0*u = 4*u - y. Determine k(z).
4
Let b(u) = u**2 + 6*u + 7. Let n be b(-5). Let d(t) = -1 + t - t - t**2 - n*t. Give d(-2).
-1
Let h be (-4 - -2)/(3/(-3)). Let q(x) = 1 - 2*x**2 - 1 - 2 + x**h. Determine q(2).
-6
Suppose -50 = -5*h + 5*q, -11 + 34 = 2*h - 5*q. Let b(u) = -u**2 + 8*u + 7. Give b(h).
-2
Suppose 0 = -2*r + 10, 0*r = 3*t + 3*r. Let l(w) = -w**2 - w - 1. Let b(j) = -3*j**2 - 8. Let n(k) = -b(k) + 4*l(k). What is n(t)?
-1
Suppose -16 = -0*o + 4*o. Let t(f) = f**2 + 6*f + 4. What is t(o)?
-4
Let f be (-60)/6*(2 + -3). Let g(t) = -t**3 + 9*t**2 + 11*t - 5. What is g(f)?
5
Let w(h) = 6*h - 3 + 4*h + h**2 - 5*h + 0*h. What is w(-5)?
-3
Let a(k) = 2*k - 7*k**2 + 2*k - 3*k. Let h(q) = -q**3 + 14*q**2 + 1. Suppose 0 = -4*f - 2*f + 84. Let p be h(f). Determine a(p).
-6
Let a(c) be the second derivative of c**5/30 - c**4/6 - c**3/3 + 3*c. Let z(d) be the second derivative of a(d). What is z(3)?
8
Suppose -5*z - 18 = u, -5*u + 18 = -3*z - 4. Let c(y) = 5*y**2 - 3*y + 1. Give c(u).
15
Let y be 6/51 + (-16)/68*-8. Let u(x) = -x - 2. Calculate u(y).
-4
Let k(m) = 7*m**3 + 5*m**2 - 3*m + 3. Let z(p) = 13*p**3 + 10*p**2 - 5*p + 5. Let s(y) = 11*k(y) - 6*z(y). Let w = -8 - -5. Determine s(w).
-6
Suppose -3*z + 4 + 2 = 0. Suppose 0*b - z*b = -6. Let n(h) = h**3 - 2 - 3*h**2 - 2*h**2 + 5*h - 1. Determine n(b).
-6
Suppose -3*h - 30 = 3*k - 3, 0 = 3*k - 5*h + 3. Let i(n) = -n + 14. Let t(r) = 7. Let f(p) = 2*i(p) - 5*t(p). Calculate f(k).
5
Let k(y) = -4*y**3 - y**2 + y. Let j(p) = -p + 1. Let i(v) = v - 6. Let u be i(0). Let l = u - -6. Let m be j(l). What is k(m)?
-4
Let u(b) = -2*b. Let y be u(-1). Suppose -3*t + 2*h = 7, 3*h = -y*t + h - 18. Let i(s) = -2*s + 1. Calculate i(t).
11
Let h(f) = f**3 + 4*f**2 - 3. Let a(y) = y**3 + 4*y**2 + 2*y. Let u = 7 + -11. Let r be a(u). Let g be (r - -2)/((-3)/(-2)). What is h(g)?
-3
Suppose -5*g + 34 = 4*a, 2*g - 7 = 2*a + 3. Let d = 3 - g. Let q be (-1)/(2/(-1 - d)). Let t(z) = -4*z**3 + z**2 + 2*z + 1. What is t(q)?
4
Let p be (-9)/(1 - (-10)/(-4)). Let s = p - 4. Let l(k) = s + 2*k + k - 3. Determine l(2).
5
Let u = 5 + -9. Let g(a) be the second derivative of -a**4/12 - a**3/6 + 5*a**2/2 - 33*a. Calculate g(u).
-7
Let y(z) = z**2 - z - 1. Let h(m) = 5*m - 4*m + 11 - 3. Let c be h(-5). Suppose -5*w - c = 3*g - 1, 2*w = -2*g. What is y(w)?
1
Let y(q) = q**3 - 10*q**2 + 6. Let o be y(10). Let u(p) = -3*p**2 + 7*p + 4. Let z(t) = 7*t**2 - 15*t - 7. Let c(h) = 5*u(h) + 2*z(h). Calculate c(o).
0
Let s(p) = 4*p**3 + 8*p**2 + 8*p + 8. Let z(o) = o**3. Let j(u) = s(u) - 3*z(u). Determine j(-7).
1
Let i(z) = -10*z**2 - 151 + z**3 + 2*z**2 + 154. What is i(8)?
3
Let h(j) = -j**2 + 5*j - 3. Let k = 35 + -32. What is h(k)?
3
Suppose b - 6*b = -3*g - 20, -2*g - 4 = -b. Suppose -i - i = g. Let l be 1/(-3)*i - 1. Let r(o) = -8*o**2 + 1. Give r(l).
-7
Suppose -6 = -2*b + b. Let s(g) = -g**3 + 5*g**2 + 4*g + 8. Determine s(b).
-4
Let z(u) = -u + 2. Suppose 5 = p - 0. Suppose -7*t = -p*t. Suppose 5*v + 2 - 17 = t. Determine z(v).
-1
Let t = 7 - 7. Suppose t*b = 2*b. Suppose b*d = -2*d. Let z(j) = j**2 + 10. Calculate z(d).
10
Let p(y) be the second derivative of 0*y**2 + 0 + 2*y + 1/2*y**3. Give p(2).
6
Let s(o) = -o - 1. Suppose -4*q = 2*f, -20 = 4*f + f + 5*q. Let m be (0 - (-2)/f)*-4. Let p(j) = -3*j + 2. Let d(w) = m*p(w) - 2*s(w). Determine d(5).
-1
Let z = 1 - 3. Let a be 9/z*4/(-3). Let t(y) = -y**2 + 3*y + 8. Determine t(a).
-10
Let p(x) be the second derivative of -7*x**5/60 - x**4/24 + x**3/6 + 3*x**2/2 + 3*x. Let r(c) be the first derivative of p(c). What is r(1)?
-7
Let y(j) = j - 11. Let i(t) = -3. Let k(w) = 9*i(w) - 2*y(w). What is k(-6)?
7
Let w(b) = -b**3 - 5*b**2 + 6*b + 3. Let v be w(-6). Let g(t) = -v - 4*t**2 + 2*t**2 + 8*t + t**2. Let d be g(8). Let h(k) = k + 4. Calculate h(d).
1
Let b(v) = v**2 - 2*v + 10. Suppose 0 = 3*d + 4*z - 31, d - 2*z - 2*z + 11 = 0. Let w(u) = 3*u - d*u + 11 + u**2 - u. Let o(y) = 6*b(y) - 5*w(y). What is o(-4)?
9
Let l(j) = 4 + 3 + j + 0. What is l(-3)?
4
Let m(a) = a + 4. Let z = 8 + -5. Let x = 8 - z. Suppose -11 - x = -4*d. What is m(d)?
8
Let u(k) be the first derivative of 11*k**2/2 + k - 2. Let o(d) = -d - 13. Let f be o(-12). Give u(f).
-10
Let i(r) = 2*r. Let y be 0/(1 + -1 + -1). Let d = 2 - 0. Let b be (y + 1)/1*d. Give i(b).
4
Let w(u) = -u**2 + 6*u + 9. Let t be w(7). Let b(x) = 5*x**2 + x**3 + x**2 + 3 + 3*x - 2*x**t. Suppose -2*p = -5*p - a - 6, 0 = 4*p + 4*a. Calculate b(p).
3
Let v(h) = -h**2 - 3*h - 3. Let d be -15*(0 + (-3)/9). Let q(w) = w**3 - 6*w**2 + 3*w + 6. Let f be q(d). What is v(f)?
-7
Let j(g) = -g**2. Let v(w) = 2 + w - w**3 - 2*w - 4*w - 9*w**2. Let m(d) = -4*j(d) + v(d). Let x(y) = -3*y**2 - y. Let i be x(1). Determine m(i).
6
Let c = 128 + -126. Let z(r) = -5*r**2 - 2*r. Determine z(c).
-24
Suppose -b + 2 = 3. Let n be 2 - (b + 5 + 2). Let d be (-8)/2*(-5)/n. Let p(f) = -f**3 - 6*f**2 - 4*f + 6. Calculate p(d).
1
Let l(u) be the first derivative of -u**3/3 - 3*u**2 - u + 7. Calculate l(-4).
7
Let u(b) = -b**2 - 7*b - 2. Let d = -5 + 12. Let q = d + -13. Give u(q).
4
Let d(w) = -16*w + 1. Suppose -2*g + 0*a + 3*a + 10 = 0, -4*a = -5*g + 11. Calculate d(g).
17
Let u(n) = n**3 + 7*n**2 + 5*n - 4. Let r be u(-6). Suppose -z + 8 = -y - 0*z, r*z = -2*y - 8. Let c(x) = 2*x + 8. Calculate c(y).
-4
Let d(u) be the second derivative of -u**3/2 + u**2/2 + 3*u. What is d(-4)?
13
Let q(a) = -a**3 - 5*a**2 + 4*a - 7. Suppose 0 = 4*n + 14 + 82. Let y be (9/4)/(9/n). What is q(y)?
5
Let i(w) = w**2 + 8*w + 7. Suppose 3*j + 2*j = 10. Suppose -5 = -j*x - 17. Let y be i(x). Let k(m) = -m**2 - 3*m + 1. Determine k(y).
-9
Let f be (1 + 7)*1/2. Let c = 6 - f. Let q(n) = n + 0*n - c + n. Calculate q(-2).
-6
Let i(s) = -s**3 - 2*s**2. Suppose 3*p - 2 = -3*d + p, -4*p - 4 = 2*d. Let q be d/(-3 - 7/(-3)). What is i(q)?
9
Let f(n) = n**2 - 8*n + 6. Let h be f(8). Let y(g) = -h + g**2 - g + 9 + 5*g. Give y(-3).
0
Suppose 12 = u + 36. Let j be u/3*(-2)/4. Let g(w) = w**2 - 3*w - 3. Let b be g(j). Let f(z) = 3*z**2 - z + 1. Give f(b).
3
Let g(d) = -d + 3*d - d**2 + 15 - d. Let r = 1 - 1. Give g(r).
15
Let s(x) = -3*x - 1. Let n(g) be the second derivative of -g**3/3 + 9*g**2 - 8*g. Let b be n(8). What is s(b)?
-7
Let f(a) = a + 11. Let z(t) = -5. Let y(w) = -2*f(w) - 5*z(w). What is y(6)?
-9
Suppose 0 = -0*c - 4*c, 4*g - 4*c - 12 = 0. Let p(d) be the third derivative of 0 + 1/6*d**g + 1/12*d**4 + 1/12*d**5 + 0*d - d**2. What is p(-1)?
4
Suppose -4*w - g + 3 = -5, -5*w + 3*g = -10. Let m(a) = -7 + 7 + 3 + w*a. Calculate m(-2).
-1
Let b(a) = -a**3 - 4*a**2 + 6*a + 4. Let g = -33 + 36. Let h(u) = -2*u + 0 + u**3 - 3*u**2 + u - 2. Let d be h(g). Give b(d).
-1
Let x(c) = -1 + 2*c**2 + c + 0*c - 6*c - 3*c**2. Calculate x(-5).
-1
Let n(k) = -k**3 + 4*k**2 + 3*k - 1. Let d be n(5). Let h be d/(-5) + 2/(-10). Let s be h/(-4)*6*-1. Let i(w) = -w + 3. Give i(s).
0
Let f(r) = r**3 + 7*r**2 + r - 1. Let o = -26 - -36. Suppose -o = -4*g - 38. Calculate f(g).
-8
Let n(m) = m**2 - 13*m + 11. Suppose 6*j - 76 = -4. Give n(j).
-1
Suppose 2*x - 3 = 5*q + 2, 0 = q + 2*x + 1. Let n(i) = 2*i**3 + 2*i + 1. What is n(q)?
-3
Let g be 0/1 + 2 + 1. Let x(l) = l + 1. Let k(h) = -5*h - 3. Let q(f) = -k(f) - 4*x(f). Give q(g).
2
Let c = 6 - 0. Let l(k) = -k + k + c*k + 1 - 5*k. Calculate l(2).
3
Let a(u) = u - 15. Let i be a(16). Let s(h) = -h**2 - 1. What is s(i)?
-2
Let l(d) = 5*d - 4. Suppose -3*n - 6 = -5*c + 9, 3*c - 3*n = 9. Give l(c