(i).
-2*i + 1
Let n = -44 + 20. Let i = 22 + n. Let u(z) = z + 4. Let d(q) = -q**3 - 6*q**2 + 8*q + 10. Let f be d(-7). Let x(c) = 3. Give f*x(h) + i*u(h).
-2*h + 1
Let a(s) = -4 + 3*s - 4*s + 1. Let i(g) = 1. Suppose -5*j - 13*w + 3 = -15*w, 0 = -4*j + 5*w - 1. Give j*a(d) + 3*i(d).
-d
Let q(k) = -5*k**3 + 144*k + 9*k**2 - 11 + k**2 - 143*k. Let t = -26 - -37. Let u(m) = m**3 - 2*m**2 + 2. Calculate t*u(y) + 2*q(y).
y**3 - 2*y**2 + 2*y
Let i(u) be the second derivative of 0*u**3 - 7*u + 0 + 0*u**2 + 5/12*u**4. Let z(t) = 3*t**2 - 3*t**2 + t**2. What is -i(c) + 4*z(c)?
-c**2
Let n(i) = -35*i**3 - 14*i**2 - 14*i. Suppose -3*a - 3*p = 28 - 58, -4*a - 3*p = -44. Let b(s) = -s**3 - s**2 - s. Give a*b(t) - n(t).
21*t**3
Let d(a) = -5*a + 6. Let b(u) = -u - 1. Let h(k) = -b(k) + d(k). Let z(y) = y - y + 2*y + 0*y - 4. Give -3*h(o) - 5*z(o).
2*o - 1
Let f(t) = -5673*t - 217. Let b(h) = 105*h + 4. Calculate -217*b(y) - 4*f(y).
-93*y
Let z(h) = -35*h - 4. Let b(o) = 16*o + 2. Let c(f) = -7*b(f) - 3*z(f). Let x(r) = 8*r + 2. What is -3*c(n) - 2*x(n)?
5*n + 2
Suppose 142*f - 133*f = 45. Let p(s) = -s**3 + 1. Let o(c) = -13*c**3 + 5. Determine f*p(w) - o(w).
8*w**3
Let n(m) = -2*m - 9. Let i(t) = t + 4. Let o(s) = -188*s**3 - 3*s + 3*s + 3 + 187*s**3 - 4*s**2. Let h be o(-3). Calculate h*n(y) - 13*i(y).
-y + 2
Let h(u) = u**2 + u - 2. Let d(c) = -2*c**2 + c - 2. Calculate d(a) + h(a).
-a**2 + 2*a - 4
Let h(r) = 8*r**3 - 12*r**2 - r. Let x(q) = -7*q**3 + 10*q**2 + 2*q. Calculate -5*h(b) - 6*x(b).
2*b**3 - 7*b
Let b(t) = 8*t**3 - 11*t. Let x(a) = -12*a**3 + 17*a. Give -8*b(i) - 5*x(i).
-4*i**3 + 3*i
Let b(k) = -3*k + 1. Suppose -5*u - 150 = -5*d, 9 = -5*u - 1. Let h be 6*(d/8 - 4). Let l(s) = -4*s + 2. What is h*b(t) + 2*l(t)?
t + 1
Let l(s) = s**3 - 5*s**2 + 3*s - 3. Let j(t) = -5*t**3 + 2*t**2 + 8*t - 8. Let h(m) = -m**3 + 2*m - 2. Let a(x) = -9*h(x) + 2*j(x). What is 3*a(d) + 2*l(d)?
-d**3 + 2*d**2
Let g(q) = -2*q + 1. Let v(t) = 6*t - 4. What is -2*g(k) + v(k)?
10*k - 6
Let u(r) = -23*r**3 - 8*r - 8. Let n(m) = m**2 - 3*m - 8. Let p be n(0). Let l(s) = 8*s**3 + 3*s + 3. What is p*l(a) - 3*u(a)?
5*a**3
Let b(f) = 104*f**3 - 40*f**2 + 40*f + 40. Let j(s) = 8*s**3 + 7*s**2 + 8*s + 3. Let d(x) = 2*x**2 + x. Let l(g) = -5*d(g) + j(g). Calculate -3*b(q) + 40*l(q).
8*q**3
Let b(n) be the first derivative of 0*n + 20 + 5/2*n**2 + 3*n**3. Let u(z) = -8*z**2 - 4*z. Calculate 4*b(i) + 5*u(i).
-4*i**2
Let r(m) = -117*m**3 + 2*m**2 - m + 4. Let b(g) = 586*g**3 - 11*g**2 + 4*g - 22. Calculate -2*b(n) - 11*r(n).
115*n**3 + 3*n
Let b(q) = 10*q**2 - 7*q + 9. Let l(r) = 15*r**2 - 11*r + 14. Let u(x) = -3*x + 25. Let n be u(10). Give n*l(a) + 8*b(a).
5*a**2 - a + 2
Let m(p) = -11*p - 3. Let h(u) = 5*u + 1. Let k be 0/(-7 + 1) + 0/1. Suppose -n + 3*v - 10 = k, -3*n - 2 = -3*v + 4. Calculate n*m(q) + 5*h(q).
3*q - 1
Let y(m) = 7*m**2 + 12. Let w(q) = -31*q**2 + 1. Let s(a) = 12*a**2 - 1. Let c(v) = -5*s(v) - 2*w(v). Determine 22*c(r) - 6*y(r).
2*r**2 - 6
Let v(z) = 463*z**3 + 22*z**2 + 15*z + 11. Let x(k) = -231*k**3 - 12*k**2 - 8*k - 6. Give 6*v(n) + 11*x(n).
237*n**3 + 2*n
Let g(p) = -27*p - 13. Let w(h) = 1. Give -g(b) - 5*w(b).
27*b + 8
Suppose t + 3*h = 35, 5*t = 2*h + 178 - 54. Let b be 4/t - (-600)/156. Let p(d) = -4*d + b*d + d - 3*d + 1. Let f(w) = -w. Determine 5*f(c) - 2*p(c).
-c - 2
Let t(a) = -a - 5. Let i be (-148)/18 - 6/(-27). Let s = -29 + 49. Suppose 6*o - 2*o + s = 0. Let n(m) = 2*m + 8. Determine i*t(c) + o*n(c).
-2*c
Let i(j) = -40*j**3 - j**2 - 9*j - 1. Let c(k) = -10*k**3 - 2*k. What is 9*c(m) - 2*i(m)?
-10*m**3 + 2*m**2 + 2
Let h(o) = 7*o + 291. Let u(v) = -5*v - 291. Determine 2*h(t) + 3*u(t).
-t - 291
Let i(f) = 5*f - 106. Let c(o) = 4*o - 104. Calculate 6*c(u) - 5*i(u).
-u - 94
Suppose 15*n = 5*n + 20. Let x(k) be the third derivative of k**6/120 - k**5/60 - 11*k**4/24 + 2*k**2. Let w(r) = 2*r. Give n*x(f) + 11*w(f).
2*f**3 - 2*f**2
Let q(j) = j + 1. Let h = -91 - -90. Let p be (-1 - -1)*2/(-2). Let y(v) = p*v + 8*v - 2*v + 5. Determine h*y(b) + 4*q(b).
-2*b - 1
Suppose 31 = -3*y + 16. Let h(f) = 66*f**3 + 2*f - 74*f**3 + 4*f - 7. Let s(a) = 7*a**3 - 5*a + 6. Determine y*h(g) - 6*s(g).
-2*g**3 - 1
Let x(n) = -5*n**2 + 3. Let z(c) = -c**2. Let p(u) = -u**3 - 4*u**2 + 5*u - 4. Let g be p(-5). Let f = 430 - 429. Give f*x(j) + g*z(j).
-j**2 + 3
Let v(c) = -13*c + 87. Let s(t) = -21*t + 130. What is -5*s(a) + 8*v(a)?
a + 46
Let g(s) be the second derivative of -s**3/2 + s**2/2 + 51*s. Let i(v) = 5*v - 1. What is -7*g(r) - 4*i(r)?
r - 3
Let b(o) = -7*o + 7*o - 2*o**2 - 11 - 2*o + 5*o**2. Let g(q) = 2*q**2 - q - 7. Calculate 5*b(y) - 8*g(y).
-y**2 - 2*y + 1
Let l(v) = 4*v. Let o(b) = -721 - 55*b + 721. Give 85*l(d) + 6*o(d).
10*d
Let y(v) = -4*v**3 - 12*v**2 - 5*v - 2. Let p(f) = -3*f**3 - 11*f**2 - 6*f - 2. Calculate 3*p(d) - 2*y(d).
-d**3 - 9*d**2 - 8*d - 2
Let u(z) be the first derivative of -z**2/2 - 4*z - 1. Let s(t) = 1. Suppose -5*n + 461 = 456. Give n*u(d) + 3*s(d).
-d - 1
Let v(d) = -7*d**3 - d**2 + 3*d - 4. Let n(y) = -7*y**3 - y**2 + 2*y - 3. Let u(w) = -4*n(w) + 3*v(w). Let s(k) = -k**2 - k. Give s(m) + u(m).
7*m**3
Let q(c) = -13*c**3 - 7*c**2 + 6*c - 7. Let r(d) = 2*d**3 - d**2 - d - 1. Give q(g) - 7*r(g).
-27*g**3 + 13*g
Let j(y) = -4*y**2 - 16*y - 2. Let m(c) = -5*c**2 - 18*c - 3. Calculate -6*j(r) + 5*m(r).
-r**2 + 6*r - 3
Let c(f) = -f - 4. Let r(d) = 14. Let g(u) be the first derivative of 6*u - 33. Let j(q) = 5*g(q) - 2*r(q). Give 2*c(s) + 3*j(s).
-2*s - 2
Let g be -6*(-4)/(-8)*-1. Let v(i) = 2*i - 9. Let r(q) = 2*q - 9. Calculate g*v(x) - 4*r(x).
-2*x + 9
Let m = -3 - 3. Let z(d) = -5*d**3 + d**2 + 9*d - 7. Let y(t) = 4*t**3 - t**2 - 8*t + 6. Determine m*z(g) - 7*y(g).
2*g**3 + g**2 + 2*g
Let x(w) = 8*w**3 + 2*w**2 + 2*w + 2. Let q(u) = -8*u**3 - 3*u**2 - 3*u - 3. Let i = -1047 + 1053. Determine i*x(t) + 4*q(t).
16*t**3
Let p(t) = 14*t**2 + 3*t. Let u(j) = 13*j**2 + 2*j. Let v(f) = f**3 - 26*f - 38. Let x be v(-4). What is x*p(i) - 3*u(i)?
-11*i**2
Let x be (-2 - 0)/(5 - 7). Let d(g) be the first derivative of 1/2*g**2 + 0*g - 1. Let j(s) = 8*s. Give x*j(f) - 6*d(f).
2*f
Let w(c) = -14 + 33 - 22. Let l(r) be the first derivative of r**2/2 - 7*r - 9. Give -2*l(o) + 5*w(o).
-2*o - 1
Let v(y) = 7*y**3 - 9*y**2 - 11*y + 9. Let s(r) = 4*r**3 - 4*r**2 - 5*r + 4. Suppose -21*n - 6 = -195. What is n*s(c) - 4*v(c)?
8*c**3 - c
Let w(y) = 482*y**2 + 5*y - 5. Let q(n) = -723*n**2 - 7*n + 7. Give 5*q(k) + 7*w(k).
-241*k**2
Let y(g) = -4*g**2 + 8*g - 7. Let u(h) = -2*h**2 + 4*h - 4. What is 7*u(l) - 4*y(l)?
2*l**2 - 4*l
Let q(c) = -1743*c**2 + 4*c. Let d(l) = 52292*l**2 - 119*l. Give -4*d(s) - 119*q(s).
-1751*s**2
Let x(p) = p - 1. Let j(n) = -5. Let d(c) = -7. Let z(m) = 2*d(m) - 3*j(m). What is -3*x(k) - 3*z(k)?
-3*k
Let l(p) = -8*p**2 + 7. Let g(d) = 7*d**2 + 6*d - 7. Let z(f) = 8*f**2 + 7*f - 8. Let n(o) = 7*g(o) - 6*z(o). Give l(i) + 6*n(i).
-2*i**2 + 1
Let p(i) = 224*i**2 - 13*i - 12. Let z(d) = 225*d**2 - 11*d - 10. Determine -5*p(m) + 6*z(m).
230*m**2 - m
Let d(b) = -30*b**2 + 7*b + 2. Let k(u) = 59*u**2 - 11*u - 3. Determine -5*d(z) - 3*k(z).
-27*z**2 - 2*z - 1
Let n(s) = -2*s**3 + 58*s**2 - 7. Let x(a) = a**3 + 2. What is -n(t) - 3*x(t)?
-t**3 - 58*t**2 + 1
Let v(s) = -82 + 30 + 50 - s**2 + 4*s**2. Let l(q) = q**2 - q - 1. What is -l(o) + v(o)?
2*o**2 + o - 1
Let b(p) = -p**2 + p - 1. Let x(j) = -4*j - 8. Let w be x(-5). Let d(n) = 8*n**2 - 12*n + 14. Calculate w*b(g) + d(g).
-4*g**2 + 2
Suppose 0*a = 2*a. Let n(d) = 0*d**2 + 12 + 10*d + a*d**2 + 10*d**2. Let o(z) = 2*z + z**2 + z - 2 - 2*z + 3. Calculate n(k) - 12*o(k).
-2*k**2 - 2*k
Let h(b) = 29*b + 308. Let l(m) = 44*m + 307. Determine 3*h(u) - 2*l(u).
-u + 310
Let d(t) = t**2 - 11*t - 16. Let j(r) = -r**2 + 14*r + 18. Calculate -4*d(f) - 3*j(f).
-f**2 + 2*f + 10
Let j(r) = -2*r**2 + r**2 - 4 + 3*r**2 + r - 2*r**2 - r**2. Let n(h) = h**2 - h + 4. Calculate -4*j(q) - 3*n(q).
q**2 - q + 4
Let o(r) = 6*r + 141. Let w(p) = 3*p + 71. What is 3*o(l) - 5*w(l)?
3*l + 68
Let a(f) = 9*f - 2. Suppose -5*h - 5 = -5*l, 0 = -19*h + 24*h + 5*l - 15. Let q(x) = -x - 1. Determine h*a(o) - 2*q(o).
11*o
Let y(p) = -5 + 3 + 3. Let u(l) be the first derivative of -2*l - 1/3*l**3 + 1/2*l**2 - 12. Det