2*n**3/3 - 401*n**2. Determine i(f).
2
Let p(z) = 85*z + 117. Let y be p(-10). Let f = y - -728. Let t(v) = v**2 + 7*v + 5. Give t(f).
-5
Let i(m) = -2*m - 8. Let n be (-3 + -1)*138/(-8)*-2. Let p = -145 - n. What is i(p)?
6
Let s(v) be the first derivative of -2*v**2 + 1/6*v**3 - 1/60*v**5 - 7 + 0*v - 5/24*v**4. Let a(l) be the second derivative of s(l). Give a(-4).
5
Let i(r) = r**3 - r**2 + r + 9. Let n(z) = -7*z**3 - 19*z**2 - 6*z - 60. Let v(m) = -6*i(m) - n(m). Calculate v(-25).
6
Let c be (-18 + 16)/(4*3/108). Let k(z) = -z**2 - 17*z - 3. What is k(c)?
-21
Let r(x) = 4*x**2 - 2*x + 4. Let t(l) = 11*l**2 - 5*l + 11. Let s(u) = -8*r(u) + 3*t(u). Let v be s(-1). Let w(c) = c**2 + 12*c + 1 - v - 18*c + 1. Give w(4).
-7
Let c = -6 + -28. Let o = -33 - c. Let x(r) = -4*r - 1. Determine x(o).
-5
Let u = 303 + -168. Let t(v) = u*v - 10 - 128*v + 3. Give t(5).
28
Let d(x) = 8*x - 5. Let s(n) = n**3 - 5*n**2 + 5*n - 1. Let j be s(4). Let o(f) = 13*f - 6. Let w(r) = j*d(r) - 2*o(r). Determine w(-8).
13
Let g(q) = 603 - 12 - 15*q - q**2 - 272. Calculate g(-27).
-5
Let b(d) = -d**2 + 1 + 0*d**2 + 3*d + 0*d. Let u be (12/(-180)*-20 - 44/6) + 9. Calculate b(u).
1
Let p(u) = 7*u**2 - 2*u**2 - 13*u**2 + 11*u**2 - 40 + 13*u - 2*u**2. What is p(-16)?
8
Let y(l) = 3*l - 3. Let f = 6 + 4. Let p be ((-45)/f)/(1/(-2)). Let m(n) = -n + 12. Let t be m(p). What is y(t)?
6
Let i(r) = r**3 - 7*r**2 + 8*r + 14. Let x be i(6). Suppose 6*t - p = t - x, 0 = 2*t + 2*p + 20. Let k(v) = v**3 + 5*v**2 - 6*v + 7. What is k(t)?
7
Let j = -168 - -222. Suppose -55*p + j*p = -1. Let q(a) = -7*a**2 + 3*a - 2. Determine q(p).
-6
Suppose -7*g + 17 = -3*w - 2*g, -18 = 2*w - 5*g. Let b(x) = 41*x**2 + x - 2. Give b(w).
40
Let z(s) = -50*s + 18*s - 6 + 17*s - 1 + 16*s. Let y = 44 + -44. Calculate z(y).
-7
Let j be ((-155)/124)/(5/(-8)). Let y(p) = 2*p**j - 1 + 10*p**2 + 5*p**2 - p**2 - 11*p**2. What is y(-1)?
4
Let q(b) be the third derivative of b**5/60 + b**4/6 + b**3/3 + b**2. Let l(j) = 5*j + 44 + 38 - 4*j - 84. Let r be l(-2). What is q(r)?
2
Let d = 87 + -93. Let t(i) be the second derivative of i**4/12 + i**2/2 + 19*i. Let k(s) = s**3 + 10*s**2 + 2*s - 2. Let g(p) = k(p) - 3*t(p). Give g(d).
19
Suppose -j = -2*j. Let o(z) be the third derivative of -2/3*z**3 - 1 + 0*z**5 + 0*z + 1/120*z**6 + 182*z**2 + 0*z**4. Give o(j).
-4
Let h be 1/(15/2) - ((-310)/(-75) + -7). Let m(v) = 9*v - 31. Give m(h).
-4
Suppose 310*n = 299*n - 11. Let w be (0 + n)/9 + (-88)/18. Let m(p) = -3*p - 11. Give m(w).
4
Let d(t) = -6*t - 228. Suppose -4*q - 3*h - 152 = 0, -21*q + 20*q - 38 = 5*h. Determine d(q).
0
Suppose 5*c - 20 = 0, 0 = -2*f - 0*c + 5*c - 26. Let a = 20 + -17. Let k be 29/a - (f - (-30)/18). Let n(q) = q**3 - 11*q**2 - 8. Calculate n(k).
-8
Let c(y) = -3*y + 17. Suppose -18*a - 17*a = 9*a - 704. Calculate c(a).
-31
Let z = 946 + -939. Let b(x) = -3*x**2 + 18*x + 21. Give b(z).
0
Let t(u) = 10*u + 52. Let g(x) = -6*x - 33. Let w(q) = -8*g(q) - 5*t(q). Suppose 5 = n + 13. Let p(i) = 6*i - 13. Let z(o) = n*w(o) - 3*p(o). Determine z(-5).
17
Let c(j) = -2*j - 1. Let x(r) = -3*r**2 - 10*r - 6. Let t(k) = -9*c(k) + 2*x(k). Determine t(-1).
-7
Suppose 0 = -5*d + 148 + 192. Let p(q) = 78*q + q**2 - d*q - 2*q**2 - 9. Determine p(10).
-9
Let h(r) = -r**2 - 11*r - 14. Let t(d) = 15*d - 114. Let y be 60/(-140) - (-52)/7. Let g be t(y). Calculate h(g).
4
Suppose 4*s - 5*i - 1 = 0, 42*s = 45*s - i - 9. Let x(z) be the third derivative of -39*z**2 + 0*z + 0 + 3/2*z**3 - 1/60*z**5 + 5/24*z**s. What is x(7)?
-5
Let j(q) be the first derivative of q**2/2 + q + 7. Suppose 2*u = -3*k - 27, 16*u - 18*u = -3*k - 3. Give j(u).
-5
Let d(u) = -u**2 - 7*u - 18. Suppose 0 = -3*b + 2*c - 26, 15 = 2*c + 7. Determine d(b).
-12
Suppose 0 = -63*f + 340 - 214. Let h(i) = 3*i**3 - 3*i**2 - 3*i - 1 - 3*i**2 + 6*i. What is h(f)?
5
Let b(k) be the second derivative of -115*k - 7/6*k**3 - 1 + 7/2*k**2. Give b(6).
-35
Let a(b) = -9*b**3 - 9*b**2 - 9*b - 16. Let m(j) = 11*j**3 + 7*j**2 + 7*j + 12. Let l(f) = 3*a(f) + 4*m(f). Let n be 1*(-3 + 4)*-1. Give l(n).
-17
Let l(d) = d**2 + 20*d - 8. Suppose 0 = 11*p - 0*p + 38 + 127. Determine l(p).
-83
Let m(i) = -2*i**3 - 10*i**2 + 21*i + 60. Let v(l) = -4*l**3 - 21*l**2 + 41*l + 103. Let d(c) = -5*m(c) + 3*v(c). Determine d(-8).
57
Let u(q) = 28 - 14 - 1843*q**3 - 9*q**2 - 10 - 2*q + 1840*q**3. Determine u(-4).
60
Let z(t) = -122*t**2 - 55*t - 39. Let n(b) = 98*b**2 + 56*b + 41. Let p(a) = -5*n(a) - 4*z(a). Give p(-29).
9
Let t(u) = u**3 - 2*u**2 + 5*u - 4. Suppose -68*b + 153 = 111 - 230. Determine t(b).
48
Let v(q) = -147*q + 6311. Let m be v(43). Let w(j) = j**2 - 5*j - 137. Determine w(m).
13
Suppose 0 = -4*i + 3*s + 15, -5*s - 17 = 6*i - 10*i. Let x(c) = c**3 - 4*c**2 + 4*c - 8. Determine x(i).
-5
Let y be 12/32 - (-424)/64. Let c(f) = 2*f**3 + 822*f - y*f**3 - 823*f. Let w = 3 - 2. Give c(w).
-6
Let g(r) = -r**2 - 4*r + 3. Suppose 0*x + 2*x = -14. Let f = x + 11. Suppose -12 = -m + f*m. Give g(m).
3
Let p(s) = -48*s + 21*s - 41*s. Determine p(-1).
68
Let t(y) = 42*y + 243. Let k(v) = -8*v - 50. Let d(g) = 11*k(g) + 2*t(g). What is d(-17)?
4
Let n = -7 - -18. Let j(d) = -d**2 + 10*d + 14. Let f be j(n). Suppose 5*t - 24 = f*z, z = -2*t - 0*z + 3. Let x(h) = h**3 - 4*h**2 + 2*h + 2. Calculate x(t).
-1
Let n(w) = 8*w**2 + 7. Let x(r) = 4*r**2 + 4. Let l(y) = 3*n(y) - 5*x(y). Suppose 7 = -127*d + 134*d. Determine l(d).
5
Let a(y) be the second derivative of 1/20*y**5 - 1/2*y**4 + y**2 + 0 - 2*y + 1/6*y**3. Suppose -q = 5*j - 1, 0 = 1026*q - 1023*q - 2*j - 20. Determine a(q).
8
Let j(g) = -g**2 - 6*g - 4. Suppose 0 = -0*c + c - 3. Suppose -3*r + 7*r + 4*a = -16, c*r - 20 = 5*a. Suppose -10 = -r*b + 2*b. Calculate j(b).
1
Let j(l) = 3*l + 2. Let k(r) = -r**3 - 3*r**2 + 5*r - 20. Let q be k(-5). Suppose m + 21 = 4*h, 7*m + q*h - 23 = 5*m. Give j(m).
-1
Let v(d) = -3*d - 79. Let w be (206/721 - 254/7)*(-9)/(-12). What is v(w)?
2
Let k(r) = -4*r + 1. Let a(y) = -y**2 - 8*y - 7. Let c be a(-5). Let u be ((-30)/c - -4) + 11/4. Give k(u).
-11
Let c = 821 + -818. Suppose 3*o - 5*x - 70 = 0, 0 = -3*o - x - c*x + 25. Let n(w) = w**3 - 14*w**2 - 16*w + 21. Determine n(o).
6
Let t(n) = -14*n + 50. Let d(o) = 13*o - 50. Let m(z) = 8*d(z) + 7*t(z). Calculate m(15).
40
Let h(i) = -6*i + 3*i**2 + 3*i + 3 + 0*i. Let x(t) = -13*t**2 - 270*t + 2530. Let n be x(7). What is h(n)?
21
Let k(y) be the third derivative of y**6/120 + 7*y**5/60 - y**4/12 - 8*y**3/3 - 6*y**2 - 12*y - 14. Determine k(-3).
26
Let s(b) = -85*b**2 - 9*b - b**3 + 0*b**3 - 1 + 52*b**2 + 8 + 39*b**2. What is s(4)?
3
Let j(k) = 5*k**3 - k**2 - k - 1. Let h(f) = -91*f**3 + 14*f**2 + 41*f + 118. Let d(t) = h(t) + 18*j(t). Give d(-5).
10
Let r(u) be the second derivative of u**3/6 + 7*u**2/2 + 10*u. Let o be r(-5). Let b(s) = -40 - s + s**3 + s**2 + 45 - o*s**2. Calculate b(0).
5
Let s(v) be the first derivative of 14 - 2/3*v**3 + 7/2*v**2 - 4*v. Give s(4).
-8
Let p(g) = -3*g**2 + 76*g - 14. Suppose 92*h + 70*h + 525 = 183*h. What is p(h)?
11
Let g = 6144 - 6134. Let j(d) = -d**3 + 10*d**2 - 14. Determine j(g).
-14
Suppose 2*o - o = -o. Let v be (-1 - (1 + o))*(-125)/10. Suppose 2*s = -5*p + 5 - v, -p - 3*s - 17 = 0. Let t(j) = 8*j + 3. Give t(p).
-13
Let z(y) = -y**3 - 6*y**2 - y + 7. Suppose -3*r + 108 = -171. Suppose -14*s = r - 23. Give z(s).
-13
Suppose 113 = -3*v + 119. Suppose v*i + 71 = 73. Let s(b) = -2*b**3 + 2*b**2 - b. What is s(i)?
-1
Let g(v) be the third derivative of 1/120*v**6 - 34*v**2 + 0 + 0*v**5 + 0*v - 7/6*v**3 + 0*v**4. Calculate g(0).
-7
Let k(z) = -z**2 - 6*z + 6. Suppose 24*x - 26*x = -2. Suppose -b + 0 = -5*j - x, b - 33 = -3*j. Let t be (18/b)/((-7)/49). Give k(t).
6
Suppose -5*u + 37 - 109 = 13*u. Let t(w) = -w**3 - 9*w**2 - 12*w + 4. Give t(u).
-28
Let g(r) = -8*r**2 - 20*r - 7. Let i(x) = -2*x**2 - 6*x - 2. Let s(q) = 2*g(q) - 7*i(q). Suppose -2*c - c = 0. Suppose c*m + 3*m + 6 = 0. What is s(m)?
-12
Let h(s) = s**3 + 34*s**2 + 65*s + 31. Let m(k) = -449*k - 1379. Let l be m(-3). What is h(l)?
-1
Let o(s) = -s**3 - 9*s**2 - 10*s - 6. Suppose -384 = -2*q - 2*q - 4*u, -2*q - u = -197. Let l = 93 - q. Calculate o(l).
10
Let r(u) = -3*u + 20. Let f(a) = 2*a - 11. Suppose -15*t = 4*t - 95. Let h(g) = t*f(