 Suppose 4*i = 4*k + 12, -k = 5*i - 4*i - j. Let q(o) = o**2 + o + 9. What is q(k)?
9
Suppose -231 = -2*v - 10*v - 39. Let s(t) = -t**3 + 16*t**2 - 2*t + 36. Determine s(v).
4
Suppose -10*z - z + 198 = 0. Suppose l + 4*a + z = 0, 7 = l - 5*a - 20. Suppose -3*k + k - 1 = -5*v, 2*k + l*v = 6. Let j(c) = 3*c**3 - 3*c**2 + c. Give j(k).
14
Suppose -5*k + 21 + 9 = -8*u, -2*u + 2*k - 6 = 0. Let q(n) = n**3 + 5*n**2 + 2*n + 4. Give q(u).
-6
Let a(b) = -71*b**3 + 54*b**2 + 155*b - 110. Let m(n) = 266*n**3 - 216*n**2 - 619*n + 441. Let y(z) = -15*a(z) - 4*m(z). What is y(-51)?
-12
Let l(a) be the second derivative of -a**5/120 + a**4/8 - 8*a**3/3 - a**2/2 - 2*a + 5. Let k(x) be the second derivative of l(x). Determine k(-3).
6
Let s = 42 - 37. Suppose 0*v - 3*a + 15 = 3*v, 0 = -4*v - s*a + 21. Let r(t) = -2*t - 3*t + v*t - 14. Give r(-6).
-8
Suppose t - 107 = 2*y - 99, -4 = 2*y. Let z(m) = 3*m**2 + 17*m + 14. Let c(f) = -f**2 - 6*f - 5. Let n(p) = 17*c(p) + 6*z(p). Give n(t).
15
Let t(d) = d - 6. Let l(p) = -4*p + 16. Let c(u) = -u**3 - 8*u**2 - 17*u - 34. Let a be c(-6). Let i(o) = a*l(o) - 11*t(o). Give i(-2).
-8
Let d(a) = -8*a**3 + 13*a**2 + 2*a + 12. Let o(g) = 5*g**3 - 12*g**2 - g - 13. Let s(i) = -2*d(i) - 3*o(i). Determine s(-10).
25
Let p be (-2 + 0 + 1)/((-126)/630). Let v(l) = -4*l**2 + 2*l - 5. Determine v(p).
-95
Let h be (-1)/(-3*4/84). Let v(x) = -h*x + 9*x - 4*x + 2 - 3. Let o = 53 - 49. Give v(o).
-9
Let b(q) = q + 3. Let a be b(11). Suppose 2*v - l - a = 0, 3*v - 11 - 8 = l. Suppose 5 = -0*m + v*m. Let y(d) = -15*d**2 + 1. Determine y(m).
-14
Let x(y) = 13*y - 26. Suppose 96 = 32*o + 29 - 157. Determine x(o).
65
Let d(p) be the second derivative of 23 + 3/2*p**2 + p - 1/6*p**3. Suppose 2*v = -4*k - 12, -5*v + k = -4*k - 30. What is d(v)?
1
Let p(k) be the second derivative of 2*k**3/3 - 65*k**2 - 12*k + 30. Determine p(32).
-2
Let y(o) = o**3 + 5*o**2 - 6*o - 3. Let w be ((-35)/6)/1 + (-3)/18. Calculate y(w).
-3
Suppose -656 = -8*v + 168. Let z = 105 - v. Suppose z*j - j = 2*s + 7, 3*j = s + 16. Let a(q) = 2*q - 3. Give a(j).
7
Let l(g) be the first derivative of g**5/30 + 11*g**4/12 - 62*g**3/3 + 2*g - 189. Let s(y) be the third derivative of l(y). Determine s(-7).
-6
Let f(a) = 2*a**2 - 17*a + 10*a - 26 - a**2 + a - 2*a**2. Determine f(-5).
-21
Let b(n) = 16. Suppose -46 = 14*q + 10. Let h(a) = a + 4. Let j(o) = q*b(o) + 16*h(o). Calculate j(2).
32
Let u(s) = 60*s + 293. Let p be u(-5). Let n(d) = -2*d**2 - 13*d + 4. Calculate n(p).
-3
Let k(z) = 8*z**3 - z + 1. Let g(s) = -s**3 - s. Let c(h) = 9*h**3 + 4*h**2 + 7*h + 5. Let m(a) = -c(a) - 5*g(a). Let l be m(-3). Let w = -72 + l. What is k(w)?
8
Let q = 4595/3 + -1531. Let b(h) be the second derivative of 0 + 6*h - 1/20*h**5 - q*h**3 + 1/2*h**2 - 5/12*h**4. Give b(-3).
-5
Let i(g) = 3*g**2 - 2*g - 36 - 2*g + g + 23 - 2*g. Give i(4).
15
Let b(f) = 2*f + 18. Let u = 409 - 405. Suppose -56 = u*w + 4*m, -6*w = -4*w + m + 27. Give b(w).
-8
Let k(z) = z**2 + 3. Let m(r) = -2*r - 1. Let s(p) = 3*p + 2. Let i(w) = -6*m(w) - 5*s(w). Let q be i(-2). Suppose c + 3 = 5*d, -q*c = 2 + 4. What is k(d)?
3
Let d = 1 - 8. Let l(t) = -t**2 - 5*t - 6. Let o be l(d). Let k be (o/50)/(2/(-30)). Let z(r) = -r**3 + 7*r**2 - 7*r - 4. Calculate z(k).
-10
Let j(i) = i. Let u(k) = 2*k + 15. Let h(m) = 3*j(m) - u(m). Suppose s - 82 = -5*a, -4*a + 2*s = -3*s - 54. Suppose f - 27 = -a. Give h(f).
-4
Suppose 4*a + 6*a + 500 = 0. Let z be (-75)/a - (1 + (-2)/4). Let s(d) = z + d + 2*d**2 - 14*d**2 - 1. What is s(-1)?
-13
Let o(r) = r**3 - 11*r**2 - 7*r - 2. Suppose -22*a + 139*a = -42*a + 1908. What is o(a)?
58
Let i(m) = 20*m**3 - 21*m**2 + 13*m + 1. Let f(h) = 5*h**3 - 5*h**2 + 3*h. Let p(t) = 9*f(t) - 2*i(t). Let c be ((-2)/4 - 0)*(2 + -8 + 2). Give p(c).
28
Let z(g) = -g**2 + 2*g + 3. Let o be ((-92)/(-10))/(14 - 680/50). Suppose 29 = o*v - 17. Determine z(v).
3
Let v be 9/6*-14 + 16. Let t(w) = -8*w**2 - 45*w - 5. Give t(v).
20
Let q(m) = 7*m**2 - 43*m - 43. Let t be -8 - -12 - (10 + -5). What is q(t)?
7
Let r(k) be the third derivative of -k**4/6 + k**3/6 + 228*k**2. Let s(p) = 3*p + 13. Let q be s(-5). Determine r(q).
9
Let w(x) = 7*x**2 + 99*x + 21. Let b(r) = r**2 - r - 4. Let i(v) = -4*b(v) + w(v). Determine i(-34).
3
Let p be ((-31)/(-2))/((-7)/14). Let w(t) = -t**3 - 33*t**2 - 62*t + 14. Give w(p).
14
Let o be (-5)/(110/154) - -11*1. Let u(i) = -3*i + 2. Give u(o).
-10
Let v(w) be the second derivative of w**5/10 - w**4/4 - w**3/3 + 5*w**2/2 + 1908*w. Determine v(2).
5
Let y = 208 - 215. Let l(d) = 1525*d + 5 - 3*d**2 + 4*d**2 - 1516*d. What is l(y)?
-9
Let k(s) = -3*s**2 - 3*s - 1. Let p = 454 - 449. Suppose -5*w - 5*u = 0, 20 = -3*w - 2*w + p*u. Calculate k(w).
-7
Let u(q) = q**2 + 4*q - 5. Suppose -73 = -3*t - 4*j, 2*t - 7*t - 5*j = -125. Suppose -2*x - 3*o - t = 0, -4*x + 5*o + 6 - 5 = 0. Calculate u(x).
7
Let n(d) = -2*d + 7. Let k be (-365)/(-20) + -3*(-1)/4. Let i be 3/(-9)*(-2 - k). Calculate n(i).
-7
Let v(m) = 8*m + 6. Let j(s) = 9*s + 8. Let n(a) = -4*j(a) + 5*v(a). Let o = -8 - -10. Determine n(o).
6
Let c(h) = -1 + h**2 - 1555*h + 1557*h - 2. Suppose 0 = -d + 4*d - 18. Suppose -d = -u - 2. Calculate c(u).
21
Let m be 228/(-42) + ((-30)/14)/(-5). Let v(t) = t + 3. Let y(h) = -2. Let p(u) = 4*v(u) - y(u). Determine p(m).
-6
Let g(z) = z**3 - 7*z**2 - z + 6. Suppose -5*r + 4 = 4*x - 14, -4*x = 4*r - 12. Suppose -2*j + 14 = 5*d, r*j + 4*d - 14 = 4*j. Calculate g(j).
-1
Let w(p) = -60*p**2 - 228*p - 166. Let z(l) = -23*l**2 - 91*l - 67. Let v(j) = 5*w(j) - 13*z(j). What is v(44)?
-3
Let f(p) = p - 4. Let q(b) = b**3 - 2*b**2 - 6*b + 12. Let t be q(3). Suppose 0*z - t*z + 3*d = 219, -369 = 5*z - 3*d. Let g = z - -71. Give f(g).
-8
Suppose p + 10 = 2*j, 0 = 2*j - 3*p - 11 - 7. Let y(l) = -2 - 2*l**2 + 2*l - 3*l**2 - 4*l**j + 2*l**3 + 7*l**2. What is y(2)?
-6
Let z(l) be the first derivative of -l**4/4 + 5*l**3/3 + 5*l**2/2 + 6*l + 5. Let s = 3055 - 3049. What is z(s)?
0
Let k be (15/(-4) - -3)*8. Suppose -2*t = -2*u, -5*t - 2*u = -0*t - 14. Let q(p) = -50*p**2 + 5 - 3 - 5*p + 49*p**t - 2*p - p. Determine q(k).
14
Let s(f) = -f**2 + 6*f + 2. Let v be s(6). Let q(l) = -18*l + 6 - 2 + 5 - 10 + 14*l. Determine q(v).
-9
Suppose -5*k - 5*m + 50 = 0, 3*k - m - 20 = -k. Let y(z) be the third derivative of z**6/120 - z**5/10 + z**4/4 - z**3/3 + 27*z**2 - 12*z. What is y(k)?
34
Let z = 20072 + -20076. Let u(w) = 3*w + 2. Calculate u(z).
-10
Let f(c) = -2*c**3 + 4*c. Let b(r) = -5*r**3 - r**2 + 8*r - 1. Let t(z) = -3*b(z) + 7*f(z). Let n be (9/(-4))/(4/96). Let p = n - -52. What is t(p)?
-1
Suppose -30*j + 33*j + 2 = -4*p, 3*p - 13 = 5*j. Let l(a) = -10*a + 4. What is l(p)?
-6
Suppose -5*f + 4 + 48 = 4*j, -j - 4*f + 24 = 0. Suppose -3*y = y - j. Suppose 5 - 3 = r - 4*m, -y*m - 16 = 2*r. Let t(n) = -2*n - 4. Give t(r).
8
Let k(z) = 64*z - 58. Let o be k(3). Let a(f) = -o*f + 133*f + 2 - 1 - 8. What is a(-15)?
8
Let p(x) = -31*x**3 + x + 1. Suppose -s - 6*t + 5*t = -2, 5*s + 17 = 4*t. Determine p(s).
31
Let c be 416/(-64)*(-12)/13. Suppose c = -1197*h + 1191*h. Let f(a) = -7*a**2 - 2*a - 1. What is f(h)?
-6
Let d(o) = -3*o + 22. Let m be ((-1250)/(-1875))/(-1 + (-38)/(-36)). Determine d(m).
-14
Let m be 181/4 - (-1)/(-4). Let s be (-108072)/(-2166) + 2/19. Let o = s - m. Let v(z) = z**2 - 5*z - 5. Give v(o).
-5
Suppose -28*r + 29*r = 4*z - 19, 4*r - 2*z - 8 = 0. Let o(h) be the third derivative of 0*h - 1/8*h**4 - 11*h**2 + 0 + 1/60*h**r - 2/3*h**3. Give o(6).
14
Let g(i) = -9*i**2 - 90*i - 91. Let a be g(-1). Let w(y) = 63*y + 626. What is w(a)?
-4
Let y = 12 + -6. Let g(b) = 11342*b - 22696*b - 2 + 11353*b. What is g(y)?
-8
Let j = 408 + -407. Suppose -4*i + 2 = -2. Let z(t) = t + 1. Let s(l) = 15*l + 4. Let y(w) = i*s(w) - 5*z(w). Give y(j).
9
Let y(v) be the second derivative of 5/3*v**3 + 0 - 1/12*v**4 + 5*v**2 - 31*v. Give y(11).
-1
Suppose -h + 4 = -1. Let b(p) = -1 - 31366*p + 5 + 2*p**2 + 31359*p. What is b(h)?
19
Let h(j) = 5*j + 27. Let f be h(-5). Let v(m) = 2*m**2 + 107 + 0*m**f - 108. Suppose i - 15 = 5*w - 3*i, -2*i = 2*w - 12. Give v(w).
1
Suppose 19*g + 9*g = -8*g + 216. Suppose 5*f + 2*c = 38, 0 = -0*f - 5*f - c + 34. Let r(s) = f*s - 3*s + 2*s**2 - g*s - s**2 - 4. Give r(4).
0
Let i(g) 