t w be u - (1 - (4 - 2)). What is i(w)?
9
Let i(v) = v**2 - 6*v + 2. Let f = 5 - 1. Calculate i(f).
-6
Let f(z) = -3*z**3 - 7*z + 4*z + 29*z**2 - 8*z - 12. Let n(p) = p**3 - 10*p**2 + 4*p + 4. Let v(m) = -4*f(m) - 11*n(m). What is v(6)?
4
Let n(p) = 3*p. Suppose 17 + 28 = -3*a. Let w be 3/21 + a/7. Calculate n(w).
-6
Let b(k) = k**3 - 8*k**2. Suppose -2*o - 6 = 4*h - 42, 3*h = 5*o + 14. Give b(h).
0
Let s(r) = 7*r**2 + 2*r - 1. Let t be 1/(1/(-2 - -3)). What is s(t)?
8
Let c(m) = m**3 - 2*m**2 + 4*m + 2. Let o(j) = -j. Let d(w) = -c(w) - 4*o(w). Give d(2).
-2
Let i(x) be the first derivative of 0*x**3 - x + 3 + 1/4*x**4 - 3/2*x**2. What is i(-2)?
-3
Let o(k) be the first derivative of -k**4/4 + k**3 - k**2/2 + 4*k + 1. Suppose j - a - 1 = -0*j, 3*j + 1 = 5*a. What is o(j)?
1
Let s(j) = 7*j**2 + 11*j + 7. Let f(g) = -11*g**2 - 17*g - 11. Let x(q) = -5*f(q) - 8*s(q). Give x(-4).
-5
Let u(y) = y**2 - y - 1. Suppose 4*r - 3*c - 29 = 0, 0 = -2*r - 2*c - 0*c + 4. Suppose 3*t = -x + 2*x + 16, -2*t + 3*x + 6 = 0. Let d = r - t. Determine u(d).
1
Let d(a) = -a**3 + 4*a**2 + 2*a + 10. Let l be d(5). Let j(n) = -n**3 - 6*n**2 - 7*n - 2. Calculate j(l).
8
Let i(c) be the first derivative of c**2/2 + 2*c + 7. Suppose 4*w - 2 = -18. Calculate i(w).
-2
Suppose -2*x = -3*x + 13. Suppose 0 - x = -d + 3*p, 3*p + 21 = -3*d. Let n(w) be the third derivative of -w**6/120 - w**5/15 - w**4/12 + 5*w**2. Determine n(d).
-4
Let s(g) = 2*g**2 + 4*g. Let n be s(-3). Let r(x) be the third derivative of -x**6/120 + x**5/12 + x**4/4 - 5*x**2. Calculate r(n).
0
Suppose 3*p = 2*p + 5. Suppose 8 + 7 = p*w. Let n(q) = -q - q + w*q. Determine n(2).
2
Let p(k) = -k - 5. Let u be (-78)/(-15) + -5 - (-2)/(-10). Calculate p(u).
-5
Let a be (0 + (-1)/(-2))*2. Let f = a - 3. Let s(u) = -2*u - 1. What is s(f)?
3
Let z(v) be the first derivative of -3*v**2/2 - 6*v - 1. What is z(-6)?
12
Let k(s) = 6*s**2 - 9*s + 9 + 0 - 5*s**2. Let c be k(8). Let b(j) = 4*j - 3*j - 2*j**2 + 5*j**2. Determine b(c).
4
Suppose -c + 3*v = -5, -9 + 3 = 4*c + v. Let a(b) = -1. Let q(d) = d - 1. Let i(r) = c*q(r) - 3*a(r). Determine i(5).
-1
Suppose 0*o - 5*o = -5*z + 30, 5*z = -4*o + 12. Suppose 8 = -0*m - z*m. Let n(l) = l**2 + 5*l + 2. What is n(m)?
-4
Let o(a) be the first derivative of a**6/12 - a**5/60 - a**4/24 + a**3/6 + a**2/2 - 3. Let s(t) be the second derivative of o(t). Calculate s(1).
9
Let i(t) be the third derivative of -t**6/120 + t**5/15 + t**4/6 + t**3 - 3*t**2. Suppose 0 = -2*p + 7*p - 25. Determine i(p).
1
Let w(n) = 3*n - 4*n + 0*n + 4. What is w(-5)?
9
Suppose 0 = -3*x + 5 + 1. Let s(p) = x - 3 - 7 - p. Give s(6).
-14
Let p be 3/(-2)*(-8)/6. Suppose -3*i = -3*r - 30, -i + p*i - 4*r - 25 = 0. Let l(b) = b**2 - 4*b + 2. What is l(i)?
7
Let o = -5 - -6. Let w be 12/(o/2 - -1). Let d(m) = -1 + 10*m + 0 - w*m. Give d(3).
5
Let n(z) = 3*z + 40. Let g be n(-11). Let y(c) = -c**3 + 7*c**2 + 2*c - 5. Determine y(g).
9
Suppose 4 = 4*j - 3*j. Let x(h) be the first derivative of -h**6/360 + 7*h**5/120 - h**4/6 - h**3 + 3. Let r(n) be the third derivative of x(n). What is r(j)?
8
Let o(v) = 4*v + v**2 - 5 - 3 - 4 + 5. Determine o(-4).
-7
Suppose -4*c = -5*b - 8, c = 5*c + 3*b - 8. Let y(n) = 0 + c - 5 + n. What is y(4)?
1
Let l(x) be the third derivative of 5*x**4/24 - x**3/2 + 2*x**2. Let u(g) = 6*g - 2. Let v(z) = 4*l(z) - 3*u(z). Let k(r) = -r + 7. Let o be k(3). What is v(o)?
2
Let g(x) = 6*x**2 - 5*x - 2. Let l(n) = 5*n**2 - 4*n - 2. Let h(s) = 4*g(s) - 5*l(s). Let w be ((-8)/(16/(-2)))/(1/2). Give h(w).
-2
Let z(p) = -4*p - 3. Let h(c) = c - 1. Let r(n) = 3*h(n) + z(n). Let l(q) = -q**2 + 3*q + 1. Let m be l(4). Determine r(m).
-3
Let o(c) = -8*c + 1. Let a be -2 - -1 - (2 + (-8 - -2)). What is o(a)?
-23
Let o(r) be the second derivative of 0 - 1/20*r**5 - 2*r + 1/6*r**3 + 1/3*r**4 - r**2. Give o(4).
2
Let c be ((-6)/8)/((3/(-12))/(-1)). Let h(p) be the third derivative of p**6/720 - p**4/12 - 2*p**2. Let s(i) be the second derivative of h(i). Calculate s(c).
-3
Let p(k) = k**2 + 5*k - 1. Suppose 33 = 2*c + 2*c + 5*t, -t + 45 = 4*c. Let i(u) = -u**2 + 13*u - 17. Let y be i(c). Give p(y).
-1
Suppose 0 = 4*h - 19 + 3. Let b = h + -5. Let a be 6 - 5 - 4/b. Let n(u) = u - 6. What is n(a)?
-1
Let v(g) = g**3 + 7*g**2 + 5*g - 5. Let k(t) = t**3 - 3*t**2 + 2*t - 1. Let w be k(3). Suppose w + 19 = -4*f. What is v(f)?
1
Let k = 6 + -8. Let g(y) = 2*y**2 + y - 1. Give g(k).
5
Let j = -177 + 181. Let a(u) = u**2 - 3*u - 4. Let y(d) = d**2 - 3*d - 3. Let s(b) = 3*a(b) - 4*y(b). Give s(j).
-4
Let j(a) = a - 4. Let x be -4 - 1/(2/6). Let p = 7 + x. Calculate j(p).
-4
Let k(s) = -s**3 - s**2 + 4. Let g = 3 - 3. Let d(a) = a + 3. Let n be d(-3). Let y = g + n. What is k(y)?
4
Let f(q) = q**3 - 4*q**2 + 2*q - 1. Suppose 4*i - 19 + 7 = 0. Let r be f(i). Let h(m) = -m**3 - 5*m**2 - 5*m - 4. Calculate h(r).
0
Let i(m) = -m**3 + 3*m**2 - m + 5. Let v be i(3). Let a(w) be the first derivative of -5/2*w**v + w + 2 - 1/3*w**3. Determine a(-4).
5
Let a(j) = j + 4. Let o be (-16)/(-20) + 1/5. Let x = 2 + o. Calculate a(x).
7
Let p(b) be the third derivative of -b**6/120 + b**5/12 + 5*b**4/24 - 7*b**3/6 + 2*b**2 + 1. Calculate p(6).
-13
Let l(f) = -2*f**2 + 2*f + 1. Let o be (-28)/(-49) - ((-11)/(-7) + 0). Calculate l(o).
-3
Let o(r) = r**3 - r**2 + 3*r - 1. Let s(j) = -4 + 5 + 6 + 6*j**2 - j**3 - 6*j. Let v be s(5). What is o(v)?
9
Let y(t) = 0 - t**2 - 2 - 4*t + 3*t. Suppose v - 2*c = 4*v + 6, 2*v + 3*c = -9. Calculate y(v).
-2
Let i(a) = -5*a**2 + a - 1. Let c = 0 - 1. Let p be ((-2)/4)/c*0. Suppose -3*q = -r + 3*r - 17, -3*r + 5*q - 22 = p. Determine i(r).
-5
Let g(w) = -w**2 + 8*w + 3. Let q(c) = -2*c**2 + 15*c + 6. Let l(z) = -11*g(z) + 6*q(z). Calculate l(-2).
-5
Let i(y) = 11*y**2 + 15*y + 26. Let s(b) = -7*b**2 - 10*b - 17. Let f(c) = 5*i(c) + 8*s(c). Let z be f(-5). Let q(v) = v**2 + 6*v - 2. Determine q(z).
-2
Let t(h) = h**3 - 2*h**2 - 3*h + 3. Let a be 2*(3/(-2) - 1). Let n = 4 + -3. Let f be a/(-3) - n/(-3). Give t(f).
-3
Suppose -2 + 6 = 4*k. Let q = -5 - -7. Let m(l) = -2*l - 1 - k + q. Determine m(3).
-6
Suppose -48 = -5*n - 33. Let d(o) be the second derivative of o**5/120 + o**4/8 - o**3/6 - o. Let i(q) be the second derivative of d(q). What is i(n)?
6
Let s(b) = b**3 + 8*b**2 + 8*b + 8. Let f be s(-7). Let l(k) = -2 + 2 - f - k. Give l(3).
-4
Let f(l) = -l**3 - 10*l**2. Let a be f(-10). Let r(i) be the second derivative of 3*i + 1/3*i**3 + i**2 + a. What is r(-2)?
-2
Let t(n) = n**3 - n**2 - n + 2. Let f(b) = -2*b**3 + 3*b**2 + 3*b - 5. Let d(g) = -g**2 - 6*g - 2. Let k be d(-6). Let l(u) = k*f(u) - 5*t(u). Calculate l(-2).
6
Suppose 2*w = -3*w - 0*w. Let c(m) be the second derivative of -1/6*m**3 + 1/12*m**4 - 2*m + w - m**2. What is c(-2)?
4
Let t(b) = b**3 - 1. Let h(s) = s**2 + 2*s - 6. Let p be h(-5). Suppose -2*r - 5*q = -p, q + 0*q = 1. Determine t(r).
7
Suppose -2*q + 6*q = 0. Let l(d) = -d**2 + d + 5. Calculate l(q).
5
Suppose -6 = g - 4. Let n(i) = -i**3 + i**2 + 3*i + 2. What is n(g)?
8
Let q = -6 + 18. Let u(z) = z**3 - 13*z**2 + 13*z - 17. Let r be u(q). Let w(f) = f**3 + 6*f**2 + 5*f + 5. Determine w(r).
5
Let m(k) = -4*k - 1. Let b(u) = u**2 - u - 2. Let c be b(3). Suppose q + q = -c, 4 = 3*g + q. What is m(g)?
-9
Let v(c) = c + 2. Let k(q) = -q - 3. Let x(y) = 4*k(y) + 3*v(y). Let m(z) = 1. Let d be (-9)/(-3) - (0 - -2). Let i(l) = d*x(l) + 6*m(l). Calculate i(2).
-2
Let m(j) = -2*j - 6. Let b be m(-6). Let w(v) = v**3 - 5*v**2 - 5*v + 5. What is w(b)?
11
Suppose 0*d + 3*d - 18 = 0. Suppose -12 = 2*r - 3*g, -2*g = 4*r + g + d. Let j(k) = -k**2 - 6*k + 1. Give j(r).
10
Let y(m) = -m + 6. Let t be y(7). Let n(a) be the first derivative of -a**6/24 + a**3/6 - a**2 + 1. Let l(d) be the second derivative of n(d). Calculate l(t).
6
Let g(j) = j**2 - 3*j + 4. Let k = 1 - -3. Give g(k).
8
Let v(q) = -4*q + 2. Let f(d) = -11*d + 6. Let n(s) = -3*f(s) + 8*v(s). Suppose g = -3*g - 3*m - 14, 3*m = -g + 1. What is n(g)?
-7
Let y be ((-3)/6)/(2/4). Let f(k) = 7*k**2. Determine f(y).
7
Suppose 5*y - 17 = -2*f, 0 = 2*y - 6*y + 2*f + 28. Let s(c) = 3*c - 5*c + 1 - 2*c + c**2. What is s(y)?
6
Let j be -3*(-1)/(4/8). Let q(t) = -44*t + 43*t - 2 + j. What is q(-3)?
7
Let i(v) = -v**3 + 6*v**3 + 2 - 6