 2*y**3/3 - 6*y**2. What is l(f)?
6
Let l(n) be the second derivative of n**8/6720 + n**7/420 + n**5/120 + n**4/3 + 8*n. Let a(k) be the third derivative of l(k). Calculate a(-6).
1
Let r = -2 + 2. Let t = 1 - -1. Let b(y) = 0*y + y + t - 5 - 1. Determine b(r).
-4
Let m = 1 + -4. Let j(g) = -g**3 - g. Let k(v) = -4*v**3 + 3*v**2 - 9*v - 4. Let r(t) = -5*j(t) + k(t). Calculate r(m).
8
Let f(n) be the second derivative of n**6/120 - n**5/30 - n**4/24 - n**3/3 + 3*n**2 - n. Let s(r) be the first derivative of f(r). What is s(3)?
4
Let p(i) = -4*i**3 - i**2 + 2*i - 4. Let d = 0 + -3. Let w = 6 + d. Let m(u) = 3*u**3 - 2*u + 3. Let q(c) = w*m(c) + 2*p(c). Calculate q(3).
4
Let i(s) = -5*s + 7. Let m(x) = 2*x - 3. Let t(p) = -6*i(p) - 13*m(p). Calculate t(2).
5
Let l(s) = s**3 + 5*s**2 - 2*s - 1. Let x be l(-5). Suppose b + 2*b = x. Let p(m) = 2*m**b + 3 - 3*m + 4 - m**2 - 4 - m**2. What is p(2)?
5
Let r(k) = -8*k - 2. Let n be (-9)/27 + 16/(-6). What is r(n)?
22
Let h(m) be the second derivative of 0 - 1/6*m**3 + 4*m + 0*m**2. Suppose 5*f - 30 = -5*g, -g - 4*f + 29 = 4*g. Determine h(g).
-5
Let w(d) = 4*d. Let n be (1 + (-33)/(-9))*-3. Let f be n/(-35)*(-4 - 1). Determine w(f).
-8
Suppose 19 = y + 5*o, -y + 0*y = -o + 5. Let s(m) be the first derivative of 7*m**3/3 - m - 1. Calculate s(y).
6
Suppose -2*y - 21 = -5*j, 2*j - 15 = 5*y - 2*y. Let k(l) be the first derivative of 5/2*l**2 - 1/3*l**3 - 2 + 3*l - 1/4*l**4. Give k(y).
6
Let k(w) = -6*w**3 - 6*w**2 + 5*w + 2. Let m(n) = 5*n**3 + 5*n**2 - 4*n - 1. Let v = -3 - 0. Let h(u) = v*k(u) - 4*m(u). What is h(-2)?
4
Suppose 2*t + 4*z = 8, 2 = 3*t - 8*t + z. Let s be 3/(t/3 - -1). Suppose -2*p - s = -3*p. Let h(c) = 3*c - 1. Calculate h(p).
8
Let c = 5 - -1. Let o(u) = 2*u + 3*u**3 - 4*u**3 - 6*u**2 - c*u + 2. Determine o(-5).
-3
Let j(p) = p + 4. Let f = 34 - 29. Let u = 31 + -17. Suppose -13 = -3*q + 4*b, f*q - u = -0*q - b. Calculate j(q).
7
Let v(w) = -w**3 - 6*w**2. Let b = 7 - 5. Let k be (-2 - 3)*(-2)/b. Suppose 2*d + k*a = -27, 3*a - 3 = 4*a. What is v(d)?
0
Let w(a) be the third derivative of -a**5/60 - 5*a**2. Give w(0).
0
Suppose 2*d + 1 = 3*d. Let y(u) = 4*u**2 - u + 1. Give y(d).
4
Let n(g) be the first derivative of g**2/2 + 14*g - 10. Calculate n(-6).
8
Let p(m) = -7*m**3 + m. Suppose -5*o = u - 27, 4*o - 4*u = u + 10. Suppose -j = -o*j - 4. What is p(j)?
6
Let h = 1 - -1. Let k(a) = 2 + 6*a + 2*a - h*a - 3*a. Let d be 4*-1*2/4. Give k(d).
-4
Let d(n) = n**3 + 7*n**2 - 8*n - 2. Let b be d(-8). Let k = -2 - b. Let c(s) be the third derivative of s**5/60 - s**4/24 - s**3 - s**2. Give c(k).
-6
Let w(d) = -8*d - 1. Let g be (18/8)/(6/16). Let c be (12/(-9))/((-4)/g). Suppose 2*r + p = -c*r - 5, 3*r - 4*p = 1. Calculate w(r).
7
Let a(f) = f - 7. Let j be a(3). Let d(b) = 3*b**2 + b + 5. Let i(n) = -4*n**2 - n - 7. Let c(x) = -7*d(x) - 5*i(x). What is c(j)?
-8
Let n = -17 + 13. Let x(t) = -t - 4. Calculate x(n).
0
Let f(k) = 0*k**2 - 166*k**3 - 2 - 4*k**2 + 3*k + 165*k**3. Give f(-3).
-20
Let w(p) be the second derivative of p**5/20 - p**4/3 - p**3 + 3*p**2/2 - 32*p. Determine w(5).
-2
Let i be 6/(6*(-1)/(-4)). Let w(y) = 20*y**2 - 29*y + 3. Let j(r) = 7*r**2 - 10*r + 1. Let o be (-15)/2*4/(-5). Let s(x) = o*w(x) - 17*j(x). Calculate s(i).
1
Suppose -7*f + f = -6. Let g(y) = -17*y**3 + y**2 - y. Determine g(f).
-17
Let g(w) be the third derivative of w**6/120 - w**5/12 - w**4/24 + 2*w**3/3 + 10*w**2. Determine g(5).
-1
Suppose -4*s - 13 = -5*j, -4*j = 2*s - 5*j + 5. Let h(f) be the first derivative of 1/4*f**4 - 2 + 1/3*f**3 + f**2 + 2*f. Determine h(s).
-6
Let a(v) be the third derivative of v**5/60 - v**4/12 + v**2 - 5. Give a(4).
8
Let b(x) = 2*x - 20. Let p be b(12). Let o(l) be the first derivative of 3 - p*l + 1/2*l**2. Determine o(4).
0
Suppose 3*j + p = 4*p - 9, -3*p = -2*j - 7. Let d(h) = h - 5*h - 3 + 2*h**2 + h**3 - 3*h**2. Determine d(j).
-7
Let g(t) = 3*t**3 + 2*t**2 - t - 4. Let i be (-2)/(-8)*(-4 + 8). Let j(y) = y**3 + y**2 - y - 1. Let n(l) = i*g(l) - 2*j(l). Calculate n(0).
-2
Let w(r) = r - 1. Let z(x) = 12*x**3 + x**2 + 2*x + 1. Let o be z(-1). Let u be ((-5)/(-15))/((-1)/o). Calculate w(u).
3
Let v(r) = -50 + 57 - 6*r - r**2 + 0*r**2. Determine v(-7).
0
Suppose -5*b - 5 = 5*y, 2*y - 5*b - 3 - 2 = 0. Let n(w) = w + 3. Determine n(y).
3
Let n be ((-10)/6)/(6/18). Let c(q) = q**3 + 4*q**2 - 3*q + 7. Give c(n).
-3
Let h(t) = -t**2 + 3*t - 3. Let x(r) = 2*r**2 - 5*r + 5. Let c(y) = 5*h(y) + 3*x(y). Calculate c(2).
4
Let j be (17/51)/((-3)/(-27)). Let d(p) be the second derivative of -p**3/3 - p**2 - p. Calculate d(j).
-8
Let f(r) = -r**3 - 8*r**2 - 6*r + 10. Suppose 5*h - 7*h - 14 = 0. What is f(h)?
3
Let u(n) = -2*n**3 + 2*n - 2*n**2 - 2*n**2 + 6*n**2. Let i = -77 - -79. Determine u(i).
-4
Let m(y) = -y**2 - 5*y - 1. Let f(i) = -i - 5. Let u be f(0). Give m(u).
-1
Let f(g) be the second derivative of -g**5/20 - g**4/3 + g**3 + g**2/2 - 2*g. Give f(-5).
-4
Let x(v) = 3 - 4*v + 4*v + v. Let l(t) = -t - 3. Let b(a) = -4*l(a) - 5*x(a). Suppose i + 4*z = -4, 3*i - 4*z = -5*z - 1. What is b(i)?
-3
Let n(q) = -q**2 - 2*q + 3. Suppose 4*f + 35 = 5*r, -f + 0*f + 28 = 4*r. Suppose 19 = 2*a + 5*c, c = 2*a - 4*a + r. Determine n(a).
-5
Let n be (-18)/(-4) - 1/2. Let v(k) be the second derivative of 3/2*k**2 - 3*k - 1/12*k**4 + 0 + 1/2*k**3. What is v(n)?
-1
Suppose 0 = -2*r + 5*r - 12. Suppose -x = -6*x. Let a(h) = -2*h**2 + h**3 - 2*h**2 + x*h**2 + h. Determine a(r).
4
Let c(n) be the first derivative of -n**3/3 - 3*n**2/2 + 7*n - 8. Calculate c(-5).
-3
Let k(c) = 3*c - 2. Let p(q) = -2*q + 1. Let r(x) = -3*k(x) - 5*p(x). Calculate r(-5).
-4
Suppose 3*k = d + 13, -5*k + 13 + 42 = 5*d. Let l(x) = -3*x + 12. Let p(o) = -4*o + 11. Let s(h) = 3*l(h) - 2*p(h). Determine s(k).
8
Let z(d) = -7*d**2 + 23*d + 1. Let l(h) = 3*h**2 - 11*h - 1. Let v(f) = 9*l(f) + 4*z(f). Determine v(-6).
1
Let d(v) be the third derivative of 1/2*v**3 + 0 + 2*v**2 + 0*v + 1/12*v**4. Calculate d(-2).
-1
Suppose -2*l - 4 = -3*k + 6*k, -2*l + k = 4. Let i(t) = t**3 - 2*t - 3. Determine i(l).
-7
Let a(u) be the second derivative of u**5/20 - u**4/2 + u**3 - u**2/2 + 8*u. Calculate a(4).
-9
Let r(i) be the first derivative of 3*i**2/2 - i - 1. What is r(-4)?
-13
Let c(n) = 2*n**2 + 2*n + 2. Let j(h) = -h**2 - h - 1. Let y(m) = -4*c(m) - 9*j(m). What is y(2)?
7
Let t be -3 + 0 + 3 + 1. Let m(r) = r**2 - t - 4 + 4 + r + 0*r. What is m(0)?
-1
Let r(x) be the first derivative of -x**2/2 + 4*x - 4. Calculate r(6).
-2
Let o be (0 + 3)/(1 - 0). Let k(c) = c - 2*c + o*c + 1. Suppose -3 = -2*a - 7. Calculate k(a).
-3
Let m be (-4)/(-3) - 1/3. Let u(g) = g**2 - 8*g + 8. Let t be u(8). Let y(a) = t*a**2 - a**2 + a**2 + a. Give y(m).
9
Let f(h) = -2*h**3 + 2*h**2 - 4*h + 3. Let v be (-2)/11 - (-384)/176. Determine f(v).
-13
Let y(w) be the second derivative of w**5/20 - w**4/12 - 3*w**2 + 31*w + 3. Suppose 0 = -2*q - 0*q. Calculate y(q).
-6
Let n(r) = 4*r**3 + r**2 - 9*r - 6. Let j = 1 + -4. Let b(s) = -5*s**3 + 10*s + 6. Let m(i) = j*b(i) - 4*n(i). Give m(-5).
1
Let p(k) be the second derivative of k**4/12 - k**3/6 - 7*k**2/2 - 3*k. What is p(0)?
-7
Let f(r) = -r**2 + 8*r - 5. Suppose 14*w - 32 = 6*w. Give f(w).
11
Let n = -16 + 13. Let a(d) be the first derivative of d**4/4 + 2*d**3/3 - d**2 + d + 1. What is a(n)?
-2
Let u(k) = 3*k - 1. Let r(v) = -v**2 + 7*v + 6. Let s be r(8). Determine u(s).
-7
Let t(d) be the third derivative of d**4/24 + 3*d**2. Suppose 2*f = -5*g + 20, -2*g + 3 = -4*f - 5. Suppose -5*c - 14 = -g. Give t(c).
-2
Suppose 4*r + 138 = 134. Let d(x) = -16*x**3. Determine d(r).
16
Let p(g) = g**3 + 7*g**2 + 6*g + 4. Let h = -4 + -2. Let v be p(h). Let b(w) = -w**2 + 4*w + 4. Calculate b(v).
4
Let g(q) = q**3 - q**2 + q - 1. Let w(m) = 5*m**3 - 4*m**2 + 5*m - 11. Suppose v + 2*v = -3. Let a(r) = v*w(r) + 4*g(r). Let c = -1 + 1. What is a(c)?
7
Let f be ((-36)/21 - -2)/(6/7). Let u(a) be the first derivative of -3/2*a**2 + f*a**3 + 0*a + 3. Give u(4).
4
Suppose h - 31 = -0*h. Suppose 3*l = 3*g + 2*g - 29, -4*g = -5*l - h. Let s(m) = -m**3 - 3*m**2 - 4. Calculate s(l).
-4
Let a = 1 + -5. Let p(j) = -5 - 4*j**2 + 3*j**2 - 3*j**2 - 3*j - j**3. Give p(a).
7
Let n(w) = w**3 - 5*w**2 - w. Let p(b) = 5*b**3. Let l be p