- 36*i**2 + 3*i - 10 + 100*i**2 + 4*i. What is f(-8)?
-2
Let h(b) = -b**3. Let m(w) = -116*w**3 + 6*w**2 + 8*w + 2. Let n be m(-1). Suppose 120*t = n*t + 8. Calculate h(t).
-8
Let n(s) be the second derivative of -2*s**3/3 - 3*s**2/2 - 3*s. Suppose 10*j = -10*j + 14*j - 6. Calculate n(j).
1
Let j(s) = -5*s + 34. Let d(o) = -59*o - 6192. Let k be d(-105). Give j(k).
19
Suppose 24 + 44 = 24*h - 28. Let y(a) be the third derivative of 0 + 0*a + 1/60*a**5 + 29*a**2 + 3/8*a**h + 5/3*a**3. What is y(-7)?
-4
Let q = 6477 - 6481. Let x(d) = -6*d - 22. Let u(g) = 13*g + 44. Let l(p) = -2*u(p) - 5*x(p). Give l(q).
6
Let s(l) = -l**2 - 3*l - 4. Let d be ((-147)/98)/(6/4). Let k be 20/(-25)*(d - 14/(-4)). Determine s(k).
-2
Suppose 11*t + 1196 = 1042. Let n(y) = -y**2 - 60*y - 639. Calculate n(t).
5
Let s(z) = 6*z - 232. Let r = 10837 + -10798. Give s(r).
2
Let f be (-8 + 210/20)/(2/12). Suppose f = 3*i - 5*t, i + i - 4*t - 12 = 0. Let a(d) = -d**2 - d - 7. What is a(i)?
-7
Suppose -36 = -39*b + 159. Suppose 0 = 2*c + 4*k - 18 + 6, -3*k - 17 = -b*c. Let r(s) = 3*s. Determine r(c).
12
Let m(i) be the first derivative of 4*i**2 + 1/3*i**3 - 13*i + 34. Let y(a) be the first derivative of m(a). Determine y(-8).
-8
Let t = 131 + -132. Let h be t + 10 - (-18)/(-15 + 6). Let n(r) = r**3 - 6*r**2 - 9*r + 8. Determine n(h).
-6
Let s = -1647 - -1649. Let b(q) = -5*q**3 - 3*q**2 + 9*q - 3. Let g(h) = -9*h**3 - 6*h**2 + 17*h - 6. Let c(k) = -11*b(k) + 6*g(k). Determine c(s).
-1
Let i(u) = 9*u - 3. Let h be -4*((-6)/(-18))/(2/(-18)). Suppose 7*q = -5 + h. Determine i(q).
6
Let s be (-1 - 3) + 0/24. Let v be -19*(3 + s)*1. Let p = v - 12. Let j(o) = -o**3 + 7*o**2 - 4. Calculate j(p).
-4
Let j(q) = q**3 + q**2 + 3*q - 13. Let m be j(0). Let z(u) be the second derivative of -u**5/20 - 7*u**4/6 - 7*u**3/3 - 15*u**2/2 + 74*u. What is z(m)?
-2
Let g(x) be the second derivative of -4*x**3/3 + x**2/2 - 2*x. Suppose -7*h = -683 - 458. Let z = 165 - h. Calculate g(z).
-15
Let u(f) = -2*f**3 + 45*f**2 - f + 2. Let p(v) = -v**3 - 23*v**2 - 1. Let z(d) = 2*p(d) + u(d). What is z(-1)?
4
Let v(i) = 88*i - 2. Suppose -26*r + 67 = -12*r + 53*r. Calculate v(r).
86
Let c(q) = -5*q - 237. Let k be -4 + -43*(35/7)/5. What is c(k)?
-2
Let v(u) = u**2 + 8*u - 51. Suppose 216*l + 432 = 180*l. Give v(l).
-3
Suppose -8*d = -36 - 4. Let l(y) = y**2 - 23*y + 52*y + d - 30*y. Calculate l(5).
25
Let o(r) = r**2 - 10*r - 14. Let x be (3 - 5)/((-2)/12). Determine o(x).
10
Let i(g) = g**2 - 9*g - 18. Suppose 12 = -3*l + 5*m, -5*l - m - 17 - 3 = 0. Calculate i(l).
34
Let o = -1941 + 1939. Let h(z) be the second derivative of -z**4/3 - 4*z**3/3 - z**2 + 2*z - 30. Give h(o).
-2
Suppose -7*t - 9 = -4*t + 3. Let k(r) = -r**3 - 6*r**2 + 8*r + 35. What is k(t)?
-29
Let w(n) be the second derivative of n**3/3 + 3*n**2/2 - 5189*n. Let b(c) = 2*c - 4. Let u be b(6). Give w(u).
19
Let l(w) = 2*w**2 - 5*w - 5. Let v(c) = 4*c + 49. Let y(h) = -h**2 - 16*h + 6. Let d be y(-17). Let p be v(d). Calculate l(p).
20
Let s(u) = -10*u**2 - 31*u + 85. Let l(q) = -5*q**2 - 14*q + 37. Let h(t) = -9*l(t) + 4*s(t). Determine h(-4).
79
Let g(q) = 2*q**3 + 5*q**2 + 3*q + 2. Let a(d) = -d**3 + 24*d**2 - 23*d - 5. Let v be a(23). Let m be 3*(-2)/(-3) + v. Calculate g(m).
-16
Let n(m) = 2*m - 7*m**3 + 2*m**3 + 6*m**3 + 5*m**2 + 3*m + 3. Suppose 0 = -3*c + 2*q + 5 - 26, 0 = -5*q. Let z(p) = -p - 11. Let f be z(c). Calculate n(f).
-1
Suppose -28*j + 488 = 516. Let f(m) = 102 - 2*m - 53 - 45. What is f(j)?
6
Let g(k) = 3*k**3 + 6*k**2 - 19*k + 19. Let a(l) = 3 - 55*l + 8*l**3 + 54 + 19*l**2 + 0*l**3 + 0*l**3. Let z(v) = -4*a(v) + 11*g(v). What is z(9)?
-1
Let o(m) = m**3 - 6*m**2 - 4*m + 11. Suppose 4*j - 18 = 3*t, -3*j + 20 = -15*t + 16*t. Give o(j).
-13
Suppose -2*o - 12 = -4*a - 5*o, -5*a = -4*o - 15. Let m(p) be the second derivative of -p**4/4 + p**3/6 - p**2/2 - 47153*p. What is m(a)?
-25
Let q(b) = -b**2 + 6*b + 3. Let k = -50 + 68. Suppose 3*i = 3*d - 7*d + k, 3*d = i + 7. Suppose 4*y - 20 = 4*g, -3*y + i*y + 5 = -3*g. Determine q(y).
8
Let d(i) = -4*i. Let x = 4852 + -4849. Suppose -2*t - t + 12 = 0, 2*h = 3*t - 12. Suppose h = -q + 3*q - 10, -x*n + 13 = 2*q. Calculate d(n).
-4
Let d be (10 - 12 - -6) + -2 + 16. Let i(c) = -4*c - 16 + 5 + 6*c**2 - c**3 + d. What is i(5)?
12
Let w be 4 + 63/(-7) + 6. Let s(u) = 42*u - 44. What is s(w)?
-2
Let k(r) = 7*r - 117. Let z be k(17). Let q(l) = -l**3 + z - 5*l - l**3 + 7*l + l**3 - 8*l**2. Calculate q(-8).
-14
Let r(z) = -2*z**2 - 12 + 0*z**2 + 5799572*z - 5799561*z. What is r(5)?
-7
Let z(i) = i**3 - 11*i**2 + 25*i - 429. Let o be z(12). Let u(k) = k**3 - 16*k**2 + 17*k + 18. What is u(o)?
48
Let x(d) = 5*d**2 - 628*d - 249. Let i be x(126). Let c(h) be the first derivative of 9/2*h**2 - 2 + 6*h + 1/3*h**i. Determine c(-9).
6
Let f(n) = 5526*n - 15 - 16 + 5525*n - 11058*n. Determine f(-6).
11
Let z(r) be the first derivative of -3*r**2/2 + 2*r - 90. Determine z(-2).
8
Let k(s) = 15*s - 7 + 9*s - 10 + s + 16. Give k(-2).
-51
Let s(v) be the first derivative of 3/2*v**2 - 1/24*v**4 - 8 - 5/6*v**3 + 0*v. Let t(k) be the second derivative of s(k). Give t(-5).
0
Suppose 6 = w - 43*z + 46*z, w = 2*z + 1. Let b(o) be the second derivative of o**3/2 - o**2 + 2*o. Give b(w).
7
Let r(v) = -v - 11. Suppose 0 = -5*c - b + 200, -2*c - 3*b = 2*c - 160. Suppose 7*n - 40 = -c. What is r(n)?
-11
Let m(i) be the first derivative of i**6/120 + i**5/10 - i**4/4 + 5*i**3/3 - 41*i**2 - 23. Let a(f) be the second derivative of m(f). Give a(-7).
3
Let v(m) = 4*m - 13. Let j be 4775/(-2475)*-11 - (-2)/(-9). Give v(j).
71
Let k(b) = -135*b + 9. Let u(d) = -371*d + 25. Let t(w) = -11*k(w) + 4*u(w). Let p be -3*1/(1*-3). Calculate t(p).
2
Let i(f) be the second derivative of -f**7/2520 - f**6/90 - f**5/20 - 7*f**4/3 - f**3/3 - 4*f - 2. Let q(b) be the third derivative of i(b). Determine q(-5).
9
Let f(j) = 163 - 325 + 67*j + 164 - 25*j. Determine f(-2).
-82
Let v(y) = y**2 - y. Let q be 2/4 - ((1215/18)/9 + -9). Give v(q).
2
Let z be 85/(-17) - (24/108 - (-70)/9). Let f(p) = p**2 + 9*p - 42. Determine f(z).
10
Let r be 14/(322/(-115)) + -6. Let p(u) = u**2 + 2*u - 31. Determine p(r).
68
Let c = -4014 + 4006. Let x(l) = 5*l + 35. Calculate x(c).
-5
Let u(q) = 2*q**2 + 10*q - 10. Let n be u(-6). Let k(t) = -35*t**2 - 26*t**2 - 7*t + 62*t**2 + n. Suppose -4*w + 16 = o - 3*o, 2*o = -5*w + 29. Calculate k(w).
-8
Let r(g) = 43*g**3 + 4*g**2 - g - 48. Let s(i) = 37*i**3 + 5*i**2 - 3*i - 47. Let f(z) = 6*r(z) - 7*s(z). Give f(-12).
5
Suppose -3*c - o = -29, 4*c + 4*o - 39 = -c. Let u(z) = -10*z + 4*z + c*z - 3*z. Determine u(-3).
-6
Let x(o) = -8*o - 1232*o**3 + 3*o**2 + 13*o - 3*o + 1230*o**3. Determine x(3).
-21
Let f(d) = d**3 + 2*d**2 - 5*d - 7. Let j(u) = 1138*u + 2279. Let y be j(-2). Determine f(y).
23
Let y(c) = -2*c**3 - 4*c**2 - 3*c - 4. Suppose 4*h = h - n - 1096, -2*h - 708 = -5*n. Let x be (h/35)/4 - 3/(-5). Let j be -1 + 0 + -3 - 1 - x. Determine y(j).
23
Let x(m) be the second derivative of m**4/12 - m**3/6 - m**2 - 217*m. Let t be 3/(-12) - (-27)/12. Let l be ((-2)/(-4))/(t/(-8)). Determine x(l).
4
Let r(s) = 6*s**2 + 20*s - 20. Let k(u) = -7*u**2 - 23*u + 25. Let q(o) = 3*k(o) + 4*r(o). Calculate q(3).
55
Suppose -c + 158 = 149. Let l(o) = -o**3 + 10*o**2 - 9*o + 12. Give l(c).
12
Let n be 623 - (-25)/(20/(-4)). Let j(t) = -619*t - 6 + 3 + n*t. What is j(-3)?
0
Suppose 6*l - 71 - 127 = 0. Suppose 13*s = l + 32. Let q(a) be the third derivative of a**6/120 - a**5/10 + a**4/4 + a**3 + a**2. Calculate q(s).
11
Let v(i) = -59 - 123 + 6*i + 0 + 29. Calculate v(26).
3
Suppose y + 3*y = 16. Suppose -y*c - 3 = 1, 0 = 5*d - 3*c - 13. Let f(i) = 7 + 6*i**3 - i**3 - 6*i**d - 2*i**2 + 5*i - 4*i**3. Determine f(7).
-7
Let d(a) = 5*a**3 - 9*a**2 + 5*a + 15. Let t(r) = -13*r**3 + 26*r**2 - 11*r - 39. Let p(k) = 8*d(k) + 3*t(k). Suppose -2*c + 2 = 12. What is p(c)?
-7
Let s(u) = -u**2 + 4*u - 2. Let f be s(4). Let y(n) = 3*n**2 - 3 - 4469*n**3 - 3*n - 4474*n**3 - 4476*n**3 - n**2 + 13417*n**3. Give y(f).
27
Let f(g) = -g**3 - 12*g**2 + 9*g - 40. Let a be f(-13). Let p be ((-12)/8)/(3/a). Let n(l) = -4*l - 1. Give n(p).
23
Let w be (-5)/2*(-8)/5 + -1. Let i(r) = -w*r + 0 + 4*r - 3*r - 18. What is i(-8)?
-2
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