-3
Let k(v) be the first derivative of 8 + 1/2*v**2 + 5*v. What is k(-4)?
1
Suppose d - 4*d + 6 = 0. Let n = 3 - d. Let c(v) = 12*v + 3. Let w(l) = l + 1. Let y(g) = -c(g) + 4*w(g). Give y(n).
-7
Let q(b) = 2*b**2 - b. Let p(j) = 17*j**2 - 5*j - 1. Let o(a) = p(a) - 3*q(a). Give o(-1).
12
Let j(u) = -u**2 + 3*u - 7. Let i(w) = -w**2 + w + 8. Let q be i(3). Let v be q + (-12)/9*-3. Give j(v).
-25
Let d be 8/6*(-132)/(-8). Let a be d/6 - 10/(-30). Suppose -a*z + 4*n = 2*n - 8, -12 = -4*z + 3*n. Let m(q) = q**2 + q + 2. Calculate m(z).
2
Let c(x) = -2. Let t(l) = -l**3 + 7*l**2 + 20*l - 15. Let m(p) = -c(p) - t(p). Give m(9).
-1
Let d(v) = -v**2 + 6*v + 3. Let t be d(6). Suppose 16*o - 20*o = -80. Suppose 2*a + t*a = -o. Let l(y) = -3*y - 6. Give l(a).
6
Let v(g) = 10*g**3 + 2*g - 2. Let z be (-17)/85 - (-12)/10. Determine v(z).
10
Let a(u) be the first derivative of u**4/8 + u**3/3 + u**2 + 21. Let g(b) be the second derivative of a(b). What is g(-2)?
-4
Let v = 94 + -88. Let l(f) be the second derivative of -f**3/6 + 7*f**2/2 + 3*f. What is l(v)?
1
Let k(d) = -13 - 11*d + 11 + 3*d**2 - 2*d**2 + 12*d. Calculate k(0).
-2
Let s(d) be the second derivative of 43*d + 1 + 2/3*d**3 + 4*d**2 - 1/12*d**4. Give s(6).
-4
Let j(m) = 15*m + 19. Let n(l) = -5*l - 6. Let s(i) = -6*j(i) - 17*n(i). Calculate s(9).
-57
Let j(h) = h**3 + 2*h**2 - 3*h + 1. Let d be 2/3 - 22/6. Let y(f) = 8*f + 4. Let a be y(d). Let x = a - -17. Determine j(x).
1
Let o(p) = -2*p**3 - p**2 - p + 2. Let b be 1395/195 + (-4)/26. Let j = b + -9. What is o(j)?
16
Suppose -5*h + 4*c = -36, 0 = 2*h + 2*c - 4*c - 16. Let t(q) = -5630*q**3 + 5*q**2 - 4 + 6 + 2 - q + 5629*q**3. Determine t(h).
16
Let m(b) = b - 12. Let u(t) = 2*t - 23. Let g(r) = -11*m(r) + 6*u(r). Suppose 4*v + 5*j - 95 + 45 = 0, 0 = -j + 6. Give g(v).
-1
Let k(z) = 5 + 102*z + 97*z - 224*z. Determine k(1).
-20
Let h(m) = 2*m**3 + 36*m**2 + 34*m - 5. Let v(q) = -3*q**3 - 54*q**2 - 51*q + 7. Let o(n) = -7*h(n) - 5*v(n). Calculate o(-17).
0
Suppose 5*r = r + 8. Suppose r = -2*i + 6. Let x(g) = -4 - 2*g**2 - g**2 + 4*g**2 + 0*g**i - g. Give x(0).
-4
Let g(k) = k**3 + 9*k**2 - 14*k - 17. Let z(d) = -d**2 - d - 2. Let q(u) = -g(u) + 2*z(u). Determine q(-12).
13
Let f(b) = 18 + 6 - b**3 - 13 - 3 - 14*b**2. Calculate f(-14).
8
Let g(s) = s**2 + 4*s - 12. Let q be -13 - -10 - (-1 + 3). Let l be g(q). Let b(d) = -1 + 4*d - d**3 + 0*d**3 + 4*d + 8 - 6*d**2. Determine b(l).
0
Let w(r) be the first derivative of -r**3/3 + 5*r**2/2 - 2*r - 93. Suppose 0 = 5*s - 3*s - 10. What is w(s)?
-2
Let w(u) = 3*u**3 + 43*u**2 + 43*u + 48. Let y(b) = b**3 + 14*b**2 + 14*b + 16. Let j(a) = 2*w(a) - 7*y(a). What is j(-11)?
-5
Suppose -2*c + t - 5 = -0*t, -5*t + 25 = -c. Let u(j) = 4*j + 2*j + 0*j + c*j. Calculate u(-2).
-12
Let k(f) = f**3 - 4*f**2 + f - 1. Suppose -5*n = 4*i - 40, -8*i = 4*n - 3*i - 41. Calculate k(n).
3
Let y = -234 - 34. Let k = y + 272. Let h(u) = -2*u + 6. Let c(p) = 1. Let r(m) = -3*c(m) + h(m). Calculate r(k).
-5
Let k = 38 - 40. Let c(w) = w**3 + 2*w**2 + 3. Let u be c(k). Let f(r) = -r**2 + 3*r - 1. Give f(u).
-1
Let v(u) = -3*u**2 + 6*u - 3. Let b(g) be the second derivative of g**4/12 - g**3/6 - 3*g. Let p(r) = 4*b(r) + v(r). Give p(2).
5
Let k(w) = -2*w**2 - 5*w. Suppose 4*c = -2*n - 14, -12*n - 9 = c - 17*n. Calculate k(c).
-12
Let j(n) = -5*n**2 + 31*n - 12. Let d(r) = -4*r**2 + 26*r - 11. Let b(p) = -4*d(p) + 3*j(p). Give b(8).
-16
Let t(x) = -4*x + 28. Let b(c) = c - 11. Let o be b(19). Determine t(o).
-4
Let p be (-12)/6 - 19*1. Let s = p + 25. Let n(m) = 0*m + 1 + s*m - 3 + 4. Give n(2).
10
Suppose -13*w = -3*w + 300. Let i = -24 - w. Let b(s) = -s - 2. What is b(i)?
-8
Let w(f) = f + 19. Suppose 12 = -2*o - n + 7, n - 5 = 0. What is w(o)?
14
Let y(m) = 146 - 48*m**3 - m - 9*m**2 + 49*m**3 - 150. Determine y(9).
-13
Let b(d) = -d**2 - 6*d - 16. Let w be b(-10). Let q = w - -52. Let u(i) = -i**3 - 5*i**2 - 6*i - 2. What is u(q)?
6
Suppose 5*r - 17 = -3*v, -5*r + r + 13 = 3*v. Let z(i) = -i - 5 - i + r. Let f = 17 + -19. Calculate z(f).
3
Let i(d) = 40*d - 120. Let r be i(3). Let m(l) be the third derivative of -1/60*l**5 + 0 + l**2 - 2/3*l**3 + 0*l + 0*l**4. Calculate m(r).
-4
Let x(t) = -7*t**3 + 2*t**2 - t. Let j be x(1). Suppose -595*i = -598*i + 15. Let g(k) = 3*k + 5. Let o(z) = 4*z + 5. Let h(n) = i*o(n) + j*g(n). What is h(5)?
5
Let w(v) = v**3 - 2*v**2 + v - 1. Let m(g) = 7*g**3 - 11*g**2 + 2*g - 5. Let l(u) = -m(u) + 6*w(u). What is l(-3)?
5
Let r(o) = 2*o**2 + 8*o - 7. Let p be r(-5). Let l(q) = -519 + 520 - 2*q**2 + 5*q**p + 5*q**3. Determine l(1).
9
Let x(m) = -2 + 6 - 5*m - 3*m**2 + m**2 + 4*m + 1. Give x(-3).
-10
Let f(z) = 4*z**3 - 1 - 3*z**2 + 2 + 2*z**2. Suppose g - 11 = -3*m + 11, -g + 1 = 0. Suppose 2*p - m*p = -5. What is f(p)?
4
Suppose 19 = 4*n + 3*m - 6, -5*m + 3 = -3*n. Suppose -n*v + 3*t - t = -10, 5*v = 2*t + 15. Let q(a) = -9*a - v + a**3 - a - a**2 + 9*a. Determine q(0).
-5
Let y(n) = 2*n**3 + 4*n**2 + 4*n + 2. Let u(v) = -2*v + 14. Let k be u(-13). Let g be (k/30)/(4/(-6)). Determine y(g).
-6
Let s(z) = 1540*z - 27 - 768*z - 766*z. Give s(6).
9
Let g = -30 - -32. Let a be 5/(-2)*g - 3. Let r(n) = n**2 + 10*n + 11. What is r(a)?
-5
Suppose -v - v = 70. Let c = v - -41. Let i(b) = 0*b + 16 - b - 5. Give i(c).
5
Let v be (4 + 264/(-55))/(0 - (-5)/25). Let c(q) be the second derivative of -q**5/20 - q**4/2 - q**3/2 + 2*q. Give c(v).
-20
Let h = -1218 - -1231. Let l(v) = -v**2 + 15*v + 14. Calculate l(h).
40
Let w(j) = -j**2 + 2*j + 2. Let g(s) = -2 + 4 - 3 + 0. Let h(q) = -2*g(q) + w(q). Let b be h(-2). Let l(m) = -m**2 - 5*m + 3. What is l(b)?
7
Let t(y) be the first derivative of -3*y**2/2 + 4*y - 123. Let w be 2 - 1 - (-2 - 0). Suppose -17 = -n + w*q, 5*n = -5*q + 3 + 2. What is t(n)?
-11
Let a = 49/15 + -13/4. Let q(l) be the third derivative of -a*l**5 + 5/6*l**3 + 1/24*l**4 + 0 + 7*l**2 + 0*l. What is q(0)?
5
Let b(g) = -g**3 - 6*g**2 - 3*g + 3. Suppose 216 = 2*k + 2*k. Suppose -51*p + k*p = -12. Give b(p).
-17
Let m(q) = 5 + q**2 + 12*q + 15*q - 15*q. What is m(-12)?
5
Let r = -156 + 153. Let l(v) = -3*v**2 + 8*v + 6. Let y(u) = -u**2 + u + 1. Let z(h) = l(h) - 5*y(h). Calculate z(r).
10
Let v(q) = 2 - 2*q - 2 + 14. Let y(t) = 16*t - 17*t + 3 + 4. Let c(h) = -3*v(h) + 5*y(h). Give c(5).
-2
Suppose -3*a + 0 = 6, o - 8 = 4*a. Suppose -l - 6 = -o*l. Let r(k) = k**3 + 6*k**2 - 4 - k**2 - 5 - 7*k + 3. What is r(l)?
0
Let x = -3 - 0. Let g = -9 + 10. Let i(h) = 9*h + 4*h**2 - 3*h**2 - g - 7*h. Determine i(x).
2
Let l(v) = -v + 1. Let f be (-2)/(-11) + (-62)/(-22). Suppose d - 3 = -2*j - f*j, -4 = -2*j. What is l(d)?
8
Suppose 3*t + r - 36 = -t, 0 = -2*t + 4*r. Let f(p) be the first derivative of -1/4*p**4 - 66 + 3*p**3 - 4*p**2 + 6*p. Calculate f(t).
6
Let w(q) = -q**3 + q**2 - q + 1. Let g(j) = -j**2 - 15*j - 29. Let n be g(-13). Let r = n + 4. Give w(r).
0
Let z(c) = c + 10. Suppose 12*g + 54 = -18. Give z(g).
4
Let a(o) = -o**3 - 10*o + 2436*o**2 - 2427*o**2 - 16 + 2*o**3. Calculate a(-10).
-16
Suppose -3*l + 2*i - 22 = 0, -4*i + 8*i = 20. Let f(m) = m**2 - 1. Determine f(l).
15
Suppose -25*i + 17*i = 0. Let g(z) be the first derivative of -1/3*z**3 + i*z**2 + 5*z - 5. Give g(0).
5
Let b(a) = 2*a + 6. Let f be (-34)/(-4) + (-22)/4 + 5. Suppose -22 - f = 5*k. Calculate b(k).
-6
Suppose -y = 3*y - 40. Suppose 0 = -0*q + y*q. Let h(u) = -u**2 + 3. Calculate h(q).
3
Suppose -6 = -2*v + 6. Let a(y) = -8*y - 4. Let g(w) = 49*w + 27. Let b(c) = 6*a(c) + g(c). Determine b(v).
9
Let p = -74 + 66. Let w be (-633)/(-57) - p/(-76). Let d(n) = -n**3 + 10*n**2 + 11*n - 2. Calculate d(w).
-2
Let n = -7 + 14. Let t(x) = -2*x**2 + 4*x + 9. Let u(h) = -h**2 + h + 5. Let j(v) = 3*t(v) - 5*u(v). Give j(n).
2
Let q = -1920 + 1915. Let x(p) = -2*p**2 - 10*p + 2. Let m(w) = w**2 + 5*w - 1. Let c(u) = -7*m(u) - 4*x(u). Calculate c(q).
-1
Let g(b) = 326 - 3*b - 326. Let w be (-13)/(-11) + 4/(-22). Calculate g(w).
-3
Let n(o) = -o**2 - 7*o - 6. Let x be n(-5). Suppose w = -4*u + 13, -x*u - 17 = -5*w - 0*u. Let f(h) = 2*h**2 + 4*h**2 - w*h**2 + 0*h**2. Determine f(-1).
1
Let j(m) = -2*m + 7. Let r(p) = 3*p**2 - 4*p + 2. Let q be (-36)/(-6) - (3 - 0). Suppose -4*n = -3*u + 14, 4 = -0*u + 5*u + q*n. Let i be r(u