d).
-d**2 + 1
Let h(y) = 2*y**2 + 8*y + 54. Let i(p) = -2*p**2 - 9*p - 60. Calculate 6*h(z) + 5*i(z).
2*z**2 + 3*z + 24
Let x(d) = -2 - 1018*d + 508*d + 2*d**2 + 507*d. Let q(f) = -3*f**2 + 6*f + 3. Give -4*q(j) - 7*x(j).
-2*j**2 - 3*j + 2
Let b(w) = w**2 + 3*w - 4. Let z(s) = -s**2 - 2*s + 4. Let l(y) = y**3 + 19*y**2 + 17*y - 15. Let d be l(-18). Give d*b(u) + 4*z(u).
-u**2 + u + 4
Let c(j) = 2*j**2 - 6*j + 1. Let n be c(3). Let g(r) = r**2 + r. Let q(i) = -3*i**2 - 3*i + 2. What is n*q(t) + 4*g(t)?
t**2 + t + 2
Let h(y) = 14*y**2 + 5*y + 17. Let p(a) be the third derivative of -a**5/12 - a**4/12 - a**3 + 16*a**2 - 1. Give -6*h(l) - 17*p(l).
l**2 + 4*l
Let t = -93 - -174. Let i = -75 + t. Let p(r) = 2*r + 2. Let g(o) = -o - 1. Determine i*g(f) + 2*p(f).
-2*f - 2
Let s(h) = h**3 + 7*h - 6. Let p(k) = 3*k - 1. Let z(o) = -o. Let f(q) = -p(q) - 2*z(q). Suppose 0 = -5*r + 4*v + 13, 2*r - v - 12 = 4*v. Give r*s(u) + 6*f(u).
u**3 + u
Let b(k) = -64*k**2 + 36*k. Let w(u) = 2*u. What is -2*b(j) + 36*w(j)?
128*j**2
Let r = -3740 + 3741. Suppose -2*g = 3*g - 15, 3*m - 5*g + 33 = 0. Let z(a) = -4*a - 6. Let b(p) = -p - 1. What is m*b(x) + r*z(x)?
2*x
Let h(d) = d**3 + 4*d**2 + 61*d - 3. Let f(o) = 6*o**3 + 23*o**2 + 366*o - 17. Calculate -6*f(k) + 34*h(k).
-2*k**3 - 2*k**2 - 122*k
Let y = -206 + 202. Let q(b) be the first derivative of -b**4/2 + 4*b**3/3 - b - 2. Let f(d) = 6*d**3 - 11*d**2 + 3. Determine y*f(x) - 11*q(x).
-2*x**3 - 1
Let l = 13 + -4. Let x(z) be the second derivative of z**5/10 - z**4/6 + 5*z - 6. Let p(b) = 4*b**3 - 4*b**2. What is l*x(o) - 4*p(o)?
2*o**3 - 2*o**2
Let v(a) = 20*a - 2. Let l(y) = -222*y + 22. Give -6*l(z) - 68*v(z).
-28*z + 4
Let x(q) = -2*q + 3. Let g(d) = -1096 + 2187 - 1098 + 5*d. Calculate -4*g(w) - 9*x(w).
-2*w + 1
Suppose -3 = 2*w + 5, -2*c + 22 = -2*w. Let j(i) = 1 - 9 + c. Let l(n) = 3*n**2 + 6. What is -6*j(t) - l(t)?
-3*t**2
Let o(z) = z**3 + 5*z**2 - 7*z - 6. Let g(i) be the second derivative of 0 + 1/20*i**5 - i**3 + 1/3*i**4 - 5/2*i**2 + 9*i. Give -7*g(d) + 6*o(d).
-d**3 + 2*d**2 - 1
Let z(x) = -4*x**2 + 2. Let y be 220/(-99) - (-6)/27. Let o(p) = p**2 - 1. Give y*o(k) - z(k).
2*k**2
Let p(f) = f - 12. Let y(r) = 17. Calculate 3*p(x) + 2*y(x).
3*x - 2
Let k(c) = 146*c - 4. Let j(d) = -73*d + 2. What is -9*j(r) - 4*k(r)?
73*r - 2
Let l(b) = -5*b**2 - 6*b - 6. Let c(g) = 9*g**2 + 13*g + 13. Let k(n) = -125*n - 513. Let r be k(-4). What is r*l(w) - 6*c(w)?
11*w**2
Let a(m) = 4200*m**3 - 119*m**2 - 238*m. Let p(v) = -105*v**3 + 3*v**2 + 6*v. What is 6*a(n) + 238*p(n)?
210*n**3
Let f(c) = -3*c + 2. Let w(y) = 5*y - 4. Let u(d) = 11*f(d) + 6*w(d). Suppose 5*h - 22 = 3*h. Let o(z) = 0*z + 3*z + z + 12*z + h. Calculate 2*o(g) + 11*u(g).
-g
Let c(d) = -d**3 + 2*d - 1. Let w be (2 - 6)/(-2) + 3. Suppose 0*x + w*x - 30 = 0. Let r(h) = -4 + 5*h + h**3 + 4*h - x*h**3. Determine -9*c(k) + 2*r(k).
-k**3 + 1
Let h(k) = k - 4. Let c(q) = -2*q + 7. Let l(a) = 10*a - 33. Let j(m) = 6*c(m) + l(m). Calculate -13*h(o) - 6*j(o).
-o - 2
Let y(h) = -320*h + 18. Let l(m) = 213*m - 11. What is 8*l(n) + 5*y(n)?
104*n + 2
Let u(w) = 25. Let r(x) = x + 26. Calculate -4*r(m) + 5*u(m).
-4*m + 21
Let r(q) = q**3 - 5*q**2 - 5*q - 5. Let w(d) = -13*d**2 - 19 + 3*d**3 + 1 - 5*d**2 - 18*d. Let s = -179 - -174. What is s*w(o) + 18*r(o)?
3*o**3
Let m(j) = 13*j**2 - 14. Let t(p) = 11*p**2 + p - 13. Determine -5*m(o) + 6*t(o).
o**2 + 6*o - 8
Let a(r) = 7*r**2 + r - 1. Let g(v) = -v**2. Suppose -10*u + 115 = 105. What is u*a(k) + 6*g(k)?
k**2 + k - 1
Let z(n) = 0 + 5*n**3 + 5*n**2 + 2 + 0. Let s(r) = 11*r**3 + 11*r**2 + 5. Let q be 14/6 - 18/(-27). Suppose 81 = 12*w - q*w. What is w*z(m) - 4*s(m)?
m**3 + m**2 - 2
Let k(c) = 9*c + 11. Let x be k(-2). Let o(j) = 9*j**3 + 4*j - 3. Let h(v) = 6*v**3 + 3*v - 2. What is x*h(p) + 5*o(p)?
3*p**3 - p - 1
Let w(v) be the first derivative of -16*v**3/3 + 5*v**2/2 - 10*v - 19. Let h(j) be the second derivative of j**4/4 - j**3/6 + j**2 - 2*j. Give 11*h(m) + 2*w(m).
m**2 - m + 2
Let f(o) = -2*o**2 - 6*o - 11. Let s(q) = 6*q + 7*q + 23 + 0*q**2 + 4*q**2. Let u = 15872 + -15866. Calculate u*s(m) + 13*f(m).
-2*m**2 - 5
Let s(r) = -8*r**3 - 12*r**2 + r - 142. Let h(a) = 15*a**3 + 22*a**2 - 2*a + 285. Determine -6*h(c) - 11*s(c).
-2*c**3 + c - 148
Let l(y) = -7*y**2 - 6*y + 8. Let s(q) = -6*q**2 - 5*q + 6. Give 2*l(v) - 3*s(v).
4*v**2 + 3*v - 2
Let f(s) = -577*s - 1. Let p(h) = -4*h + 2. Give -2*f(a) - 2*p(a).
1162*a - 2
Let g(a) = -5. Let m(j) = 7. Let i(r) = 3*g(r) + 2*m(r). Let s(z) = -z**3 + z + 4. What is 4*i(h) + s(h)?
-h**3 + h
Let b(f) = -f**2 + 6*f - 4. Let o be -4 - ((-1 - 2) + -17). Suppose 0 = -p - 3*p + o. Let i(l) = 2*l**2 - 7*l + 5. Calculate p*i(v) + 5*b(v).
3*v**2 + 2*v
Let y(i) = 9*i - 1. Let q(p) = 4 + 2 + 4 - 11 + 13*p. Suppose 0 = 4*t - 4*w + 28, -3*t - 21 = 5*w - 0*w. Calculate t*y(s) + 5*q(s).
2*s + 2
Let n(t) = 7*t + 176. Let l(k) = -8*k - 177. Determine -8*l(d) - 9*n(d).
d - 168
Suppose u = 21*u + 280. Let x(s) = s**3 - 5*s - 3. Let f(p) = -4*p**3 + 24*p + 14. Determine u*x(g) - 3*f(g).
-2*g**3 - 2*g
Let z(x) = -3*x + 210. Let i(j) = -13*j + 839. Determine -2*i(m) + 9*z(m).
-m + 212
Let r(c) = -2*c + 16. Let z(n) = n - 7. Give -2*r(k) - 5*z(k).
-k + 3
Let m(j) = 2*j**3 + 2*j**2 + 3*j - 2. Let y(w) = -w**3 - 2*w**2 - 2*w + 2. Suppose -27*c + 24*c - 9 = 0. Calculate c*y(o) - 2*m(o).
-o**3 + 2*o**2 - 2
Let h(n) = -395*n**3 + 2*n**2 + 2*n. Let g(u) = -10665*u**3 + 55*u**2 + 55*u. Determine -2*g(a) + 55*h(a).
-395*a**3
Let o(p) be the first derivative of 46 - 1/2*p**2 - p + 1/3*p**3. Let s(w) = -3*w**2 + 4*w + 7. Let j = 0 + -1. Give j*s(d) - 4*o(d).
-d**2 - 3
Let s(g) = 17*g**3 + 2*g - 11. Let y(f) = 9*f**3 + f - 6. Let x(r) be the third derivative of -r**4/4 + 6*r**2. Let z be x(-1). Calculate z*s(u) - 11*y(u).
3*u**3 + u
Let h(p) = -10*p + 3. Let w(r) = -12*r + 4. Calculate -3*h(s) + 2*w(s).
6*s - 1
Let u(s) = -44*s**2 - 3*s + 3. Let x(a) = -43*a**2 - 4*a + 4. Give 4*u(t) - 3*x(t).
-47*t**2
Let c(k) = -10*k + 30. Let i(m) = -10*m + 31. What is -6*c(g) + 5*i(g)?
10*g - 25
Let a(q) = 265*q - 1. Let c(v) = 176*v - 1. Give -5*a(m) + 7*c(m).
-93*m - 2
Let f(c) = -12*c - 17. Let h(k) = 17*k + 16. Give -3*f(g) - 2*h(g).
2*g + 19
Suppose 0 = -w - 2*u - 11 + 3, -5*w = -u + 29. Let n = w + 5. Let l(y) = -y. Let s(m) = 1. Give n*s(d) + 2*l(d).
-2*d - 1
Let d(f) = f + 1. Suppose 0 = -47*m + 44*m - 2*o - 13, 3*m + 11 = -o. Let s(i) = 7*i - 4. Determine m*d(q) - s(q).
-10*q + 1
Let l(g) = -2*g - 6. Let y(f) = f + 2. What is 4*l(j) + 9*y(j)?
j - 6
Let t = 1350 + -1348. Let m(r) = -15*r - 5. Let l(z) be the second derivative of 7*z**3/6 + z**2 + 5*z. What is t*m(a) + 5*l(a)?
5*a
Let n(r) = 9*r**3 - 2*r**2 - 5*r + 5. Suppose 3*t + 4 = 5*t. Let k(l) = -2 - 451*l**3 - 1 + 446*l**3 + 3*l + l**t. What is -5*k(i) - 3*n(i)?
-2*i**3 + i**2
Let q(m) = 402*m**2 + 392*m**2 - 788*m**2 - 3 - 3*m. Suppose 0 = p - 5. Let k = 2 - 5. Let b(y) = 11*y**2 - 5*y - 5. Determine k*b(o) + p*q(o).
-3*o**2
Suppose -s - 30 = 2*s. Let q = 14 + s. Let o(m) = m**2 - m + 1. Let x(l) = -2*l**3 - 5*l + l - 1188*l**2 + 1190*l**2 + 6. What is q*o(z) - x(z)?
2*z**3 + 2*z**2 - 2
Let b(q) = -q**2 - q. Let o(r) be the third derivative of -r**6/40 + r**5/10 + 7*r**4/24 - 5*r**2 + 7*r. Determine -6*b(f) - o(f).
3*f**3 - f
Let q(g) = 2. Let a(l) = 46*l + 5. Give -a(r) + 4*q(r).
-46*r + 3
Suppose -5*u - 4 = -19. Let h(d) = -2*d + u*d - 5*d + 5*d**2 - 2. Let y(l) = -9*l**2 + 7*l + 3. Calculate -5*h(w) - 3*y(w).
2*w**2 - w + 1
Suppose 2*h - 5 = -7. Let s(a) be the third derivative of -a**6/24 - a**5/15 - 556*a**2. Let j(n) = -n**3 - n**2. What is h*s(v) + 4*j(v)?
v**3
Let x(g) = -13*g**3 - 14*g**2 - 7*g - 1. Let c(y) = -4*y**3 - 5*y**2 - 2*y - 1. Calculate 7*c(d) - 2*x(d).
-2*d**3 - 7*d**2 - 5
Let v(m) = 2*m - 57. Let j(k) = -k + 29. Give -5*j(q) - 2*v(q).
q - 31
Let d(q) = -5*q - 9. Let n(x) = 11*x + 19. Let j(i) = 2*i**3 + 4*i**2 + 8*i + 12. Let a be j(-2). Calculate a*n(k) - 9*d(k).
k + 5
Let z(s) = s**2 - 45*s + 4. Let j(x) = -x**2 - 1. What is 4*j(g) + z(g)?
-3*g**2 - 45*g
Let l(a) = -28*a - 17. Let h(f) = -9*f - 5. Let o(v) = -7*h(v) + 2*l(v). Let g(w) = 8*w + 2. Give -5*g(y) + 6*o(y).
2*y - 4
Let i(m) = 3*m**2 + m. Let t(g) = 3*g**2 - 15*g