8
Let b(f) be the second derivative of f**6/360 - 7*f**5/120 - 5*f**4/24 - 13*f**3/6 - 6*f. Let t(u) be the second derivative of b(u). Give t(8).
3
Let h(b) = -4*b**2 - b + 12. Let z(u) = 7*u**2 + 4*u - 22. Let l(m) = 11*h(m) + 6*z(m). Give l(7).
-7
Let r = -2204 + 2202. Let n(m) = 4 - 2 + 2*m**3 + 0*m**2 + 4*m + 3*m**2. What is n(r)?
-10
Let j be (25/10 - 0)/(6/(-12)). Let k = 9 - 3. Let r(p) = 0*p + 6*p + 1 + p**2 + k. Determine r(j).
2
Let z(o) = -o**2 - 8*o - 8. Let y be z(-6). Let m(t) = t**3 - 3*t - 3*t**2 - y*t**2 + 0*t - 4 + 4*t**2. Determine m(4).
0
Let f = -44 + 31. Let z(l) = -l**2 - 14*l - 10. Let y be z(f). Let t(x) = 2*x**2 + x - 4. Determine t(y).
17
Let k(y) = -y + 11. Let h(p) = 2*p - 20. Let c(f) = 3*h(f) + 5*k(f). What is c(3)?
-2
Let q(m) = 2*m**3 + 3*m**2 + 2*m. Suppose -775 = -9*w - 784. Determine q(w).
-1
Let u(t) be the first derivative of -t**3 + 7*t**2/2 - 2*t - 34. Let d(h) = -h**3 - h. Let n(m) = -d(m) - u(m). Give n(-5).
-18
Let q(r) = r**3 + 34*r**2 - 8*r - 255. Let p be q(-34). Let b(t) = -t**3 + 16*t**2 + 17*t + 9. Calculate b(p).
9
Let l(x) be the second derivative of -1/6*x**4 - 2/3*x**3 + 1/20*x**5 + 0 - 23*x - x**2. What is l(-2)?
-10
Let a(x) = 9*x + 2. Let f = 280 + -277. Determine a(f).
29
Let t(v) = -2*v - 7. Let i be t(-5). Suppose 20 + 1 = i*o. Let d(p) = -p**3 + 6*p**2 + 8*p - 5. Let z be d(o). Let y(n) = 2*n**2 - 2*n - 1. What is y(z)?
3
Let l = 12 - 74. Let s = 57 + l. Let u(w) = -w**3 - 5*w**2 + w + 4. Determine u(s).
-1
Let h = 93 - 86. Let w(z) = -h*z + 6*z + 2*z - 11. Let m(k) = k - 5. Let p be m(5). Give w(p).
-11
Let r(b) = 4*b + 4. Let m(p) = -9*p - 7. Let a(u) = 3*m(u) + 7*r(u). Determine a(7).
14
Let l(n) = n**3 - 2*n**2 + 3*n - 1. Let c be (-15)/(-9)*(-24)/(-20). Determine l(c).
5
Let m(k) = 14*k**2 - 237*k - 15. Let v be m(17). Let x(d) = 13*d - 3. Determine x(v).
23
Let t(b) be the third derivative of 0*b + 1/24*b**4 - 1/6*b**3 + 10*b**2 + 0. Determine t(1).
0
Let d(g) = -g**3 + 9*g**2 - 10*g + 12. Let w be d(6). Suppose -62*f + w*f = -14. Let q(s) = s - 8. Determine q(f).
-1
Let z(q) = -3*q - 1. Suppose a + 5*i = -22, 4*a + 8 = 3*i + 35. Let b be 1 - a/(3 - 4). Suppose -25 = -5*n + b*p, 0*n - 3*n - 5*p - 22 = 0. Determine z(n).
-4
Let y be ((-1)/2*0)/2. Let m be y + 6/(-15) - 6/10. Let a(k) = k**2. Give a(m).
1
Let u(r) = -2*r**2 + 7*r + 2. Let o be 36/(-10)*((-64)/(-24) - 6). Suppose o*h - 36 = 24. What is u(h)?
-13
Let x(a) = a**2 + 4*a - 7. Let p be x(-5). Let j be ((-7)/(-2))/(1/p). Let w(t) = 54*t**2 + 8 - 137*t - 53*t**2 + 73*t + 72*t. Give w(j).
1
Let s(n) = n**2 + n - 1. Suppose -3*v = -0*v - 15. Let j be (3 - 3 - 0)*-1. Suppose v*x - 18 = -3*f, 14 = 5*f - j*x + 3*x. What is s(f)?
1
Let b(z) be the second derivative of -z**4/12 - 7*z**3/6 - 7*z**2/2 + 5*z - 4. What is b(-7)?
-7
Let z(k) be the first derivative of k**4/4 - k**3/3 + k**2/2 + 35*k + 535. Give z(0).
35
Suppose y - 6 = 4*x, -4*x + 2 = -5*y - 0. Let z = 32 - 30. Let h(i) = 3*i + z + 6*i**3 - 6*i**3 - i**2 - i**2 - 2*i**3. Calculate h(y).
4
Let r(q) = -q**2 + 10*q - 8. Suppose -13 = -2*w + 3*p - 2, -2*w + p = -9. Suppose -20 = -w*h + 2*h + 4*l, 13 = 2*h + 3*l. Determine r(h).
8
Suppose 149*q = 137*q + 240. Let z(d) = -d**2 + 21*d - 17. Calculate z(q).
3
Suppose 0 = -5*h + 9*h + 8, 2*f - 4 = 4*h. Let t(r) = -11*r - 2. Calculate t(f).
20
Let s(p) be the second derivative of -40*p - p**2 - 1/20*p**5 + 0 + 1/6*p**3 + 11/12*p**4. Determine s(11).
9
Let k(v) = -11*v + 26. Let d(c) = -5*c + 13. Let a(i) = 13*d(i) - 6*k(i). Suppose 2*p = 325 - 77. Let y = p + -124. Determine a(y).
13
Let d(s) = s**2 + 5*s + 3. Suppose 0*a - 10 = a. Let j be a*(-4)/16*2. Suppose j*y - 3*r = 3*y + 4, 4*r + 16 = 0. Calculate d(y).
-1
Let k(b) = -b - 7. Let z(q) = 272*q - 277*q - 2 - 1. Let o be z(1). Give k(o).
1
Let m be (-2)/3 + (-8)/(-3). Let i be (-1)/m*(-4 + -2). Let l(g) = 2*g**i - g**3 + 0*g**2 + 5*g**2 - 2*g + 3 - g**2. Give l(-5).
-12
Let o(q) = 2*q + 2. Let m = 18 - 13. Suppose 0 = m*c + 5*g + 15, 4*g = -5*c + g - 17. What is o(c)?
-6
Let r be (2/6)/((-1)/(-12)). Suppose r*l = -1 - 67. Let g = l + 17. Let o(j) = -j**2 + 3. Give o(g).
3
Let w(x) = -14*x**2 + 12*x - 19. Let d(p) = 7*p**2 - 7*p + 11. Let r(l) = 7*d(l) + 4*w(l). Give r(-1).
-5
Let v(b) = b**3 + 11*b**2 + 12*b + 8. Suppose 0 = 161*j - 129*j + 320. Calculate v(j).
-12
Let m = 2300 - 2296. Let k(j) = -5*j + 8. Determine k(m).
-12
Let i(o) = 0*o - 6 - o**3 + 2*o + 0*o**2 + 5*o**2. Suppose n = 3, 2*n - 21 = -4*h + 1. What is i(h)?
18
Let n be ((-2)/4)/((-1)/(-24)*-4). Let b(a) be the second derivative of -1/6*a**n + a + 0 - a**2. Give b(3).
-5
Suppose -2*a - 4*o = -2, 4*o - 12 = 5*a - 3. Let b = 2 - 5. Let f = a + b. Let g(y) = -y**3 - 5*y**2 - 2*y + 1. Calculate g(f).
-7
Suppose -312*q = -29*q - 1415. Let i(d) = d**2 - 5 - 4*d - d - 1. Determine i(q).
-6
Let q(g) = g**2 - 6*g - 23. Let u be q(9). Let z(d) = -10 + 16 - u + 3*d + d**2. Determine z(-4).
6
Let w(l) = l**2 - 9*l + 6. Suppose 0 = -10*h + 1 + 9. Suppose -2*x - 5*j + 4 + h = 0, 4*j + 12 = 0. What is w(x)?
16
Let a(l) = -l**3 + 45*l + 1 - 9*l**2 + 9 - 52*l. Determine a(-8).
2
Let t(m) = -3*m**3 - m**2 - 4*m**2 - 2*m**3 + 4*m**3 - 6*m - 4. Calculate t(-4).
4
Let p be (-11 + 1)*(-54)/135. Let f(k) = k**3 - 3*k**2 - 3*k - 2. Let q be f(p). Let y(w) = -w**3 - w + 1. Give y(q).
-9
Let z(y) be the first derivative of -y**3/3 + 5*y**2/2 + 2*y + 51. What is z(6)?
-4
Let u(m) = -3 + 5 - 4*m - 7. Suppose 4*h - 3*d + 1 = 0, 24*d - 19*d = -25. What is u(h)?
11
Let u(a) = -a**3 - 10*a**2 + 9*a - 22. Suppose 12*z = 13*z + 5*q + 6, 2*z + 24 = 2*q. Determine u(z).
0
Let q(f) be the second derivative of 3*f**5/10 - f**3/6 + f**2/2 + 2*f. Let j be -4 + ((-2)/(-6))/((-14)/84). Let y be (-2 - 8/(-6))/(4/j). Determine q(y).
6
Let w(n) be the third derivative of n**6/240 - n**5/120 - n**4/4 - n**2. Let s(x) be the second derivative of w(x). Determine s(1).
2
Let x(h) = -4*h**2 + 5*h + 3. Suppose -6*s + 177 - 153 = 0. What is x(s)?
-41
Let i(q) = 34 + q**2 + 28 + 26 - 5*q + 33 - 134. Calculate i(7).
1
Let w(d) be the first derivative of 16*d**2 + d + 78. Determine w(1).
33
Let n(h) = -h**3 - 3*h**2 - 3*h - 2. Let z be (-1)/7 - (-1 - (-492)/(-14)). Let f be z/8*(-4)/(-6)*-1. Determine n(f).
7
Let t(a) = 3*a**2 - 8*a - 1. Let l(h) = -8*h**2 + 23*h + 2. Let u(o) = -o**3 - 4*o**2 + 7*o - 1. Let f be u(-5). Let w(g) = f*t(g) - 4*l(g). What is w(-5)?
-2
Let o(f) be the first derivative of f**4/4 + 7*f**3/3 + 3*f**2 - 2*f + 1. Suppose 3*t + 9 - 28 = -n, -3*n - 5*t + 73 = 0. Let i = -37 + n. Give o(i).
-2
Let d(h) = -h**2 - 5*h - 9. Let z be d(-6). Let k be (-1 - z/(-3)) + -2. Let w = -8 - k. Let v(p) = p**2 - 7. Give v(w).
-7
Let v(p) = 13*p - 23. Let i(j) = 7*j - 12. Let b(k) = 11*i(k) - 6*v(k). Let g(o) = o**3 + 6*o**2 + o - 4. Let m be g(-6). Let h be (-1)/2 - (-45)/m. Give b(h).
11
Suppose -3*b - 45 + 15 = 0. Let p = b + 4. Let s(z) = -3*z + z**3 - z**2 + 7*z**2 + 2*z - 5. Calculate s(p).
1
Let j(s) = 2*s - 1. Suppose 2 = 4*a - a + 4*y, -3*y = 2*a. Suppose -a*l + 11 = -13. Determine j(l).
7
Let y = -6 - -8. Let v(w) be the third derivative of 0*w + 0 - 1/2*w**3 - 2*w**2 - 1/30*w**5 + 1/12*w**4. Determine v(y).
-7
Let f(c) be the third derivative of -c**6/24 + c**5/60 - c**4/24 - c**3/6 + 6*c**2 + 4*c. Calculate f(-1).
6
Let m(d) = 0 - 3*d**2 + 4*d + 1 - 3 + 1. Let f = 103 + -70. Let h = f + -30. Determine m(h).
-16
Let u(n) = -3*n + 8*n + 3*n**2 + n**3 + 3*n**2 + n**2. Suppose 4*z = -4*q - 8 - 36, 58 = -4*z + 3*q. Let k = -19 - z. Give u(k).
6
Let a(r) = r**2 - 7*r. Let q be a(7). Let v(c) = 25*c - 26*c + 2 + q. Calculate v(2).
0
Let t(i) = -i**3 + 6*i**2 - i - 4. Suppose x = -5*j + 16, -5*x - 5*j + 6*j = -28. Calculate t(x).
-10
Let c(h) = 3 - 2*h - h**2 - 5 + 0*h. Let p = -124 - -127. Suppose 0 = -p*q - q + 20, -3*x = -4*q + 29. Give c(x).
-5
Let d(c) = 3*c**2 - c + 1. Let x be d(1). Let u(h) = h - 4. Let v(t) = 2 + 3 + 4 - t - 4. Let w(i) = 3*u(i) + 2*v(i). What is w(x)?
1
Let k(n) = 14*n**2 + 67*n + 5*n**3 - 54*n - n**2 - 4*n**3 + 2. Give k(-12).
-10
Let p = -31 - -35. Let n be p/14 + (-6)/63*3. Let y(w) = w - 14. Determine y(n).
-14
Let k(l) = -l**2 + 60*l + 546. Let z be k(68). Let o(v) = v**3 - v**2 - v. Give o(z).
2
Let w(d) = d**2 