Let f be 132/(-28) - 6/21. Let x(a) be the second derivative of -a**6/720 + a**5/120 - a**4/12 + 2*a. Let g(z) be the third derivative of x(z). What is g(f)?
6
Suppose 1 = 3*v + 4*f, -48 = -4*v + 4*f - 0*f. Let z(c) = -c + 6. Determine z(v).
-1
Let y(u) = -u + 4. Let p(t) = -5*t + 15. Let a(l) = 4*p(l) - 18*y(l). What is a(-8)?
4
Let q(a) be the first derivative of -a**4/4 - 2*a**3 - 2*a**2 + 5*a + 1. Suppose -2*t - s + 16 = -2*s, -s + 4 = 0. Suppose 4*n = -10 - t. Determine q(n).
0
Suppose -25 = -3*l + 8*l. Let q(c) = 1. Let y(z) = -z - 1. Let m(u) = 2*q(u) + y(u). Give m(l).
6
Suppose 2 = -u + 5*h - 22, 0 = -4*u - 3*h - 4. Let x(l) = 1. Let j(b) = 4*b**2 + b + 4. Let c(i) = u*x(i) + j(i). What is c(-1)?
3
Suppose -3 = 2*j - 9. Let f(u) = -5*u + 4*u**j - 4*u**2 - 1 - 3*u**3 + 4*u. Give f(4).
-5
Let l(x) = x - 4. Let q be (1/1 - -8)/1. Suppose -2*b = 5*a - 20, b + 2*a = q + 1. Let o = b - 5. Give l(o).
1
Suppose s = -3*s + 8. Suppose 0 = o + s*o - 21. Let c(u) = 0*u + 2 + 1 - 2 + o*u. What is c(-1)?
-6
Let z = -1 - -4. Let l(u) = 2*u + u + u + z - 3*u. Determine l(-3).
0
Let u be 2/(0 - -2)*8. Let c(n) = -n + 6. Let o be c(u). Let h(q) = 6*q - 3. Let j(x) = -3*x + 1. Let r(p) = -2*h(p) - 5*j(p). What is r(o)?
-5
Suppose 14 = -o + 4*u, 3*u - 6*u = -12. Let w be (-1)/o - 11/(-2). Let a(j) = 4*j + w*j - j. Determine a(-1).
-8
Let z(m) = 2*m + 1. Suppose 7 + 13 = 4*u. Suppose 0 = j + u*s + 3 - 2, 4*s - 4 = -2*j. What is z(j)?
9
Let r be 14 + 1 - 0/4. Let w = r - 11. Let b(c) = 7*c + c**2 - 6 + 2*c**2 - w*c**2. Determine b(5).
4
Let a(c) = -4*c + 2*c**3 - 1 - 5*c**2 + 0 + 0 - 3*c**3. Let t be 0 - (-3)/6*6. Suppose -4*y - 4*v = -v + 24, 3*y + 21 = -t*v. What is a(y)?
-7
Let c be -1 + 1 + (-1 - 2). Let x(r) = r**2 - 3*r - 2. Calculate x(c).
16
Suppose 3*a - m + 7 = 0, -8*a = -4*a + 5*m + 3. Let b(g) = 2 + 0 - g**3 + 2*g + 1 - g**2. Determine b(a).
3
Let f(p) be the second derivative of p**5/20 - p**4/2 - p**3 + 4*p. Calculate f(7).
7
Let h(u) be the third derivative of u**5/60 + u**4/4 + 7*u**3/6 + 6*u**2. Give h(-5).
2
Let l(u) be the first derivative of 0*u**2 + 0*u**3 + 0*u - 1 + 1/4*u**4. Determine l(1).
1
Suppose -3*v - 29 = -2*g - 2*g, g - 5*v = 20. Let c(r) = r**3 - 6*r**2 + 7*r - 3. Calculate c(g).
7
Let j(q) be the first derivative of q**2/2 - 7*q + 3. Let t be j(6). Let m = t + 5. Let b(a) = -a**2 + 4*a - 3. Determine b(m).
-3
Let s(p) = 2*p + 4. Let g(o) = 3*o + 5. Let k(m) = 3*g(m) - 4*s(m). Suppose 2*l - v - 5 = -3*l, -3*v - 15 = l. Give k(l).
-1
Let b(u) = 2*u**2 - 3*u + 3. Let d(j) = 3*j**2 - 4*j + 4. Let h(k) = 8*b(k) - 5*d(k). Let x be h(4). Let p(f) = -f**3 + 2*f**2 + 6*f - 1. What is p(x)?
-9
Let z = 22 + -14. Let b(m) = 2*m - 20. Let o(v) = v - 10. Let w(h) = 6*b(h) - 13*o(h). Let x be w(z). Let y(p) = 7*p - 2. Give y(x).
12
Let d(q) = q**3 + 6*q**2 + 6*q + 3. Suppose 6*f + 15 = 3*f. What is d(f)?
-2
Let t(a) = 2*a - 7*a - 2 + a - 2*a. Give t(-3).
16
Let i(m) = -m - 9. Let d be 6 + 93/(-15) + 138/(-10). Calculate i(d).
5
Let p(v) = v**3 + 6*v**2 + 4*v. Let q(g) = 0 + 0 + g. Let t(b) = -p(b) - 3*q(b). Determine t(-5).
10
Let k(y) = 2 + y**2 - 72*y + 34*y + 36*y. Suppose 5*v - 3*m - 11 = 0, 5 - 33 = -4*v - 4*m. Calculate k(v).
10
Let a(x) = 252 + x - 240 + 5*x - 5*x. Give a(-6).
6
Suppose -9 = 17*z - 26*z. Let b(w) = 8*w. Give b(z).
8
Let h(n) = -n + 1. Suppose -30 = -5*i + 2*i. Give h(i).
-9
Let n be 0/(-3) + 2/(-2). Let i be (-5 + -1)*n - 2. Let j(t) = t**2 - 3. Let b(o) = -2*o**2 - o + 7. Let r(m) = -4*b(m) - 9*j(m). Determine r(i).
-1
Suppose 0 = -4*n + 9 + 7. Let d(l) = n*l**2 + l**3 - 17 + 24 - 3*l**2. Give d(0).
7
Let p(t) be the first derivative of t**4/4 + 4*t**3/3 + 3*t**2/2 - t - 2. What is p(-4)?
-13
Suppose 0 = -z + 5*p + 33, -9 = 5*p + 16. Suppose -u = u + 2, 0 = -3*f - 4*u + z. Let v(i) = -i + 2 - 2*i + f*i**2 + 2*i + i**3 + 2*i. Give v(-4).
-2
Let m(v) = -3*v - 1 - 1 + 2*v. Let i = 33 + -18. Suppose -2*g = g + i. Calculate m(g).
3
Let c(u) = -2*u + 5. Let y be c(7). Let g be 3 - (-3)/y*3. Suppose g*p = 2*v + 4*p + 16, -5*v = -2*p + 12. Let t(z) = z**2 + 4*z - 1. Give t(v).
-1
Let b(m) = -m - 4. Let s(r) = r + 1. Let w(i) = b(i) + 3*s(i). What is w(1)?
1
Suppose 12 = -2*l + 6*l. Let o = -2 - l. Let t(x) = -x**3 - 5*x**2 + x + 2. Calculate t(o).
-3
Let g(u) = u**3 - 1 + 5*u**2 - 19*u + 41*u - 18*u. Calculate g(-3).
5
Let u(l) = -l**2 + 2*l. Let b(x) = x**2. Let m(d) = 8*d + 10. Let r(n) = -b(n) - m(n). Let v be r(-6). What is u(v)?
0
Suppose -2*f + 8 = -2*m, -2*f + m = -3*f + 4. Let j(c) = -6*c + 3*c - f*c. Suppose 4*q + 3 = -1. Give j(q).
7
Let s(w) be the third derivative of -w**5/120 + 5*w**4/24 + w**3/2 - 3*w**2. Let d(m) be the first derivative of s(m). Calculate d(4).
1
Let a(s) = 7*s**3 - 7*s**2 - 2*s - 25. Let j(o) = -3*o**3 + 4*o**2 + o + 12. Let w(g) = -4*a(g) - 9*j(g). Determine w(-8).
0
Let r(h) be the third derivative of -h**4/24 - h**3/6 - 13*h**2. Calculate r(1).
-2
Suppose 2*g - 4 = -4*q, -g - 2*g + 28 = -5*q. Let r(h) = -7*h**2 + 9*h - 1 + h**3 + 5 - 4*h. Determine r(g).
-2
Let c(u) = 6*u**2 + 6*u - 8. Let j be (-4 + -2)*(-6)/9. Suppose j + 11 = -3*d. Let v(r) = 7*r**2 + 7*r - 8. Let a(i) = d*v(i) + 6*c(i). Determine a(0).
-8
Let m(p) = p**3 - 1. Suppose -5*v + 5*j + 7 = 2, 5*j = -4*v - 23. Determine m(v).
-9
Let b(k) be the third derivative of -k**6/120 - k**4/24 + k**3/3 - k**2. Calculate b(0).
2
Suppose 5 = 3*u - 1. Let r(i) be the first derivative of i**2 + 1 - u*i**2 + 2 + 6*i + 2*i**2. What is r(-5)?
-4
Let k(c) = c**2 + 3*c - 3. Let s = -17 - -13. Determine k(s).
1
Suppose -3*k + 14 = 2*q - 5*k, -19 = -2*q + k. Suppose 2*i + 7 = -7*w + 4*w, 2*w = -5*i - q. Let c be 6/9 - i/(-3). Let p(n) = -n**2 + 7. Give p(c).
7
Let b(a) = a**2 - 16*a + 61. Let d be b(11). Let p(x) = x - 11. What is p(d)?
-5
Let q(d) = -d**2 + 10*d - 9. Let h(x) = x**2 - 8*x - 11. Let v be h(10). Let i be q(v). Suppose i = 2*t + 2. Let n(l) = -7*l**3 - l**2 + 1. Determine n(t).
7
Let x = -19 - -21. Let m(i) = -2*i**2 + i. Give m(x).
-6
Let d(v) = -3*v - 25. Let s be d(-13). Suppose s*u + 42 = 7*u. Let q(y) be the second derivative of -y**4/12 - y**3 + 3*y**2 + y. Give q(u).
6
Let w be (-1 - -2)*-9 - -3. Let x be -10*(-3)/w*1. Let o(l) = 4*l**2 + 6*l + 8. Let k(j) = -3*j**2 - 6*j - 7. Let p(i) = -3*k(i) - 2*o(i). Calculate p(x).
0
Suppose -5*h + 4*t + 22 = -2*h, h + 3*t + 10 = 0. Suppose -h*g - 7 = 5. Let k(l) = l**2 + 8*l + 9. What is k(g)?
-3
Suppose 0 = d + d - 10. Let j = d + 1. Let r(z) = z**3 - 5*z**2 - 5*z + 4. What is r(j)?
10
Let b(f) be the second derivative of 1/2*f**2 - 3*f + 1/6*f**3 + 0. Give b(-6).
-5
Let s(c) be the third derivative of -1/24*c**4 + 2*c**2 + 1/6*c**3 + 0 + 0*c. Let l be (-2)/3 + 24/9. Calculate s(l).
-1
Let x(n) = n. Let s(g) = 4 - g**2 - 14*g + 3 + 13*g. Let k(d) = -s(d) + 3*x(d). Give k(-5).
-2
Let c be 24/(-18) + 6/4. Let l(z) be the second derivative of -c*z**3 + 0 + 4*z - 1/2*z**2. Give l(1).
-2
Let i be -1 + 0 + (1 - -5). Let r(v) be the third derivative of -v**5/60 + 5*v**4/24 + v**3 + 11*v**2. Calculate r(i).
6
Let h(t) be the second derivative of -t**7/840 - t**6/360 - t**4/24 - 11*t**3/6 - 3*t. Let p(j) be the second derivative of h(j). Calculate p(-2).
3
Let i(r) = -3*r + 2. Let l be 3/(5/(100/(-15))). What is i(l)?
14
Let h(y) = -3*y - y**3 - 24*y**2 - 7 + 3 - 17*y**2 + 47*y**2. What is h(5)?
6
Let p(y) = 3 + 2*y + 10 - 6. Determine p(-6).
-5
Let l(a) = 6*a**2 - 40*a - 10. Let i be l(7). Let r(j) = j**3 - 5*j**2 + 5*j + 1. Give r(i).
5
Let j(y) be the second derivative of y**4/12 - 7*y**3/6 - 5*y**2/2 - 41*y. What is j(8)?
3
Let q(j) = 4*j + j**2 - 4*j - 2*j + 3*j + 6. Determine q(0).
6
Let c(j) = j + 3. Let r(x) = x - 1. Let z be r(3). Suppose b = 2 + z. Suppose -f = b*f. What is c(f)?
3
Let i(x) = x**2 + 7*x - 2. Let j be i(-8). Suppose -3*z + 2*m = -z + j, 0 = -5*z - m - 27. Let d(k) = k**3 + 0*k**3 + 0*k**3 - 4 - 6*k + 4*k**2. Calculate d(z).
1
Let b(t) = t - t + 3*t + 0*t - 1. Let w(r) = -r + 1. Let f(n) = n - 1. Let u(d) = -2*f(d) - w(d). Let p(x) = -b(x) - 4*u(x). Give p(3).
0
Let i(k) = -6*k**2 + k + 4. Let z(t) = 7*t**2 - t - 5. Let g be (1*-3)/(7 - 6). Let x(j) = g*i(j) - 2*z(j). What is x(2)?
12
Let g(b) = b + 3*b + 6 + 2*b**2 - 2 - b**2. Let w be ((-10)/(-4))/((-1)/2).