b).
-6*b**2
Let l(p) = -1. Let m be ((2 - 2) + -2)/2. Let d(v) = -51*v - 3 + 93*v - 43*v - 2*v**2. Give m*d(y) + 4*l(y).
2*y**2 + y - 1
Let v(g) = -14*g - 8. Let s(a) = 9*a + 5. Let z(x) be the first derivative of -x**4/4 + 4*x**3/3 + x**2/2 + 4*x + 1. Let f be z(4). What is f*s(t) + 5*v(t)?
2*t
Let w be (1 + 0/2)/(-1). Let z(n) = n**3 + n + 1. Let q(t) = 6 + 8*t**3 - 2*t - t**3 + 7*t. Calculate w*q(y) + 5*z(y).
-2*y**3 - 1
Let i(g) = -2*g - 5. Suppose -10 = -2*w - 2*l, -4 = 2*w - 3*l + 6. Let s = 0 - w. Let q be (4 - 3) + (-4)/s. Let r(a) = 6*a + 16. Give q*r(j) + 16*i(j).
-2*j
Let z(q) = 468*q**3 + 143*q**2 + 143*q - 143. Let w(d) = 13*d**3 + 4*d**2 + 4*d - 4. What is -143*w(v) + 4*z(v)?
13*v**3
Let d(l) = 4*l**2 + l - 2. Let q = -6 + 1. Let s(z) be the first derivative of -3*z**3 - 3*z**2/2 + 5*z + 2. Determine q*d(j) - 2*s(j).
-2*j**2 + j
Let s = 7 - 5. Suppose 2*c + l = -6, 3*c + 4*l + 9 = -s*c. Let o(z) = z + 3. Let i(d) = -2 + 2*d - 2 - 3*d. Give c*i(g) - 6*o(g).
-g + 2
Let x(v) be the second derivative of -v**4/12 - v**3 + 3*v**2 + 20*v. Let d(g) = -g**2 - g + 1. Calculate 6*d(i) - x(i).
-5*i**2
Let y(x) = -6*x**3 - 23*x**2 - 8. Let o(m) = -2*m**3 - 8*m**2 - 3. Determine -17*o(v) + 6*y(v).
-2*v**3 - 2*v**2 + 3
Suppose -f = -4*t + 3*f - 40, -2*t - 4*f + 4 = 0. Let r(c) = 3 + 2*c - 4*c + 1. Let g(b) be the first derivative of b**2/2 - 2*b - 1. Give t*r(n) - 11*g(n).
n - 2
Let m(w) = w**2 + 2*w + 2. Let v(k) be the first derivative of -k**3 - 2*k**2 - 4*k + 58. Calculate 5*m(b) + 2*v(b).
-b**2 + 2*b + 2
Let q(t) = -33*t - 1. Let a(c) = -17*c. What is -5*a(r) + 3*q(r)?
-14*r - 3
Let j(u) = -2*u**2 - 7*u + 6. Let o be j(-3). Let s(g) = -5*g**3 + 9*g**2 - 9*g - 21. Let t(i) = -4 - 2*i - 3 + 2*i**2 + 2 - i**3. Give o*t(p) - 2*s(p).
p**3 - 3
Let l(x) = 2*x**2 + 4*x + 6. Let n(w) = -13*w**2 - 13*w - 31. Let y(a) = -7*a**2 - 6*a - 16. Let t(i) = 3*n(i) - 5*y(i). What is -13*l(f) - 6*t(f)?
-2*f**2 + 2*f
Let l(p) = 0*p + p + 2 + 0. Let h(y) = y + 2. Let q = -1 - -3. Suppose 3*r = -2*g - q, 4*g + 0*g = -5*r - 6. Calculate g*h(w) + 3*l(w).
-w - 2
Let o(h) = 6*h**2 + 4*h. Let d(z) = -5*z**2 - 3*z. Calculate -4*d(q) - 3*o(q).
2*q**2
Let a(y) = -4*y + 13. Let k(b) = -b + 1. Calculate a(q) - 6*k(q).
2*q + 7
Let u(o) = -1. Let j(v) = -v - 7. Let m be j(-4). Let t be 6/24 - (-5)/(-4). Let a(y) = -y + 2. What is m*u(d) + t*a(d)?
d + 1
Let h(d) = -d - 1. Let i(r) = 33*r - 4. Determine -6*h(o) + i(o).
39*o + 2
Suppose 0 = 3*u - 10 + 1. Let t(w) = -w**3 + w - 2*w + 0*w**3. Suppose 0 = 2*f - 1 + 3. Let o(s) = -2*s**3 + 2*s**2 - s. Calculate f*o(x) + u*t(x).
-x**3 - 2*x**2 - 2*x
Let t(w) = 345*w - 4. Let j(r) = -86*r + 1. Determine -9*j(d) - 2*t(d).
84*d - 1
Let z(o) = -35*o**2 - 3. Let l(u) = 384*u**2 + 32. Determine 6*l(s) + 64*z(s).
64*s**2
Let s(g) = -4*g**3 + 2*g**2 + 4*g - 1. Let b(z) = -6 + 9*z - 9*z**3 + 11 - 8 + 5*z**2. Determine 2*b(r) - 5*s(r).
2*r**3 - 2*r - 1
Let s = 34 - 38. Let k(a) = 7*a**3 - 3*a**2 - 3*a. Let o(t) = 8*t**3 - 4*t**2 - 4*t. Give s*k(x) + 3*o(x).
-4*x**3
Suppose 0 = -k - 0*k + 8. Let f(i) = i**2 - 8*i + 11. Let a be f(k). Let p(o) = -o + 6. Let q(x) = -4 + 3*x - 7 + 0*x - x. Calculate a*p(t) + 6*q(t).
t
Let m(w) = -3*w - 2. Let l(s) = 5*s + 3. Let q = -24 - -19. Calculate q*l(f) - 8*m(f).
-f + 1
Let v(w) = 15*w + 4. Let n(z) = -14*z - 3. What is 6*n(i) + 5*v(i)?
-9*i + 2
Let u(v) = 2*v + 5. Suppose -3*y - 1 + 25 = 0. Let o(j) = j - 2 + y + 0*j + 2*j. Give 3*o(c) - 4*u(c).
c - 2
Let g(d) = -d**2 - 3*d**3 - 9*d + 2*d**3 + 8*d + 2*d**3. Let q(w) = -2*w**3 + 3*w**2 + 3*w. Calculate -3*g(o) - q(o).
-o**3
Let i(d) = -2*d**2 + 5*d - 8. Let o = -4 - 0. Let k(n) = 2*n**2 - 6*n + 9. What is o*k(l) - 5*i(l)?
2*l**2 - l + 4
Let z(t) = -t - 2. Let r(p) = p + 1. Let a(s) = -2*s. Let d(n) = a(n) + 3*r(n). Let i = -4 - -6. Let f be ((-9)/(-3)*2)/i. Determine f*z(m) + 2*d(m).
-m
Let p(o) = -2*o**2 + o. Let s be p(-1). Let l be 2 + 0 + s - 2. Let d(u) = -2*u**3 + 4*u**2 + 4*u. Let c(v) = 3*v**3 - 7*v**2 - 7*v. Give l*c(q) - 5*d(q).
q**3 + q**2 + q
Let j(q) = 8*q**2 + 2*q - 3. Let n(c) = -c**2 + 1. Calculate j(u) + 5*n(u).
3*u**2 + 2*u + 2
Let l(f) = 4*f**2 + f - 7. Let c(k) be the third derivative of k**5/60 - k**3/6 - 5*k**2 - k. Calculate -5*c(b) + l(b).
-b**2 + b - 2
Let g(x) = 7*x - 7*x - 6*x + 4. Suppose -8 = -3*l + 1. Let a(s) = 5*s - 3. Determine l*g(u) + 4*a(u).
2*u
Let a(v) = 5*v**3 + v**2 - 2*v + 1. Let m(q) = 5*q**3 + 7*q - 1. Let o(g) = -4*g**3 - 6*g + 1. Let r(n) = -5*m(n) - 6*o(n). Determine a(y) + 2*r(y).
3*y**3 + y**2 - 1
Suppose 0 = -5*w + 8*w - 21. Let z(y) = -y**3 - 2*y**2 - 3*y + 2. Let l be 3/(-2)*-2 - 1. Let d(t) = 3*t**3 + 7*t**2 + 10*t - 6. What is l*d(f) + w*z(f)?
-f**3 - f + 2
Let k(h) = -2*h**2 - 3*h - 3. Let d(y) be the first derivative of -y**3 - 2*y**2 - 4*y + 2. Suppose 4*m - 5*r = 16, -2*m - 5*r + 2 = -6. Give m*k(n) - 3*d(n).
n**2
Let h(c) = 2*c**3 - 4*c**2 + 3*c + 2. Let n(a) = a**3 - 5*a**2 + 4*a + 2. What is 3*h(y) - 2*n(y)?
4*y**3 - 2*y**2 + y + 2
Let p(g) = g**2 - 5*g + 5. Let o(j) = -5*j**2 + 3*j + 1. Let s(k) = -6*k**2 + 3*k + 2. Let v(w) = 5*o(w) - 4*s(w). What is 3*p(a) + 5*v(a)?
-2*a**2
Let i(l) = 3 + 2 + 409*l + 1 - 401*l. Let a = -9 - 1. Let w = 15 + a. Let u(p) = 7*p + 5. What is w*i(o) - 6*u(o)?
-2*o
Let f(c) = -c + 1. Let h(d) = -5*d + 5. What is 18*f(l) - 4*h(l)?
2*l - 2
Let f(t) = -t**2 - t. Let l(y) = 2*y**2 + 2*y. Let g(o) = -7*f(o) - 3*l(o). Let p(n) = 2*n**3 + 5*n**2 + 5*n - 2. Determine -5*g(r) + p(r).
2*r**3 - 2
Let h(d) = -45*d - 1. Let c(p) = p. Determine 3*c(r) + h(r).
-42*r - 1
Let s(k) = -2*k**2 + 2*k - 2. Let h(x) = -4*x**2 + 4*x - 10. Let v(f) = -8*f**2 + 8*f - 21. Let j(z) = 13*h(z) - 6*v(z). Give -3*j(p) + 5*s(p).
2*p**2 - 2*p + 2
Let o(x) = -6*x**3 - 8*x**2 + 6*x - 8. Let p(i) = 2*i**3 + 3*i**2 - 2*i + 3. What is -5*o(l) - 14*p(l)?
2*l**3 - 2*l**2 - 2*l - 2
Let g be (1 + 0 + -2)*1. Let t(p) = 4*p + p**3 - p + 0*p**3. Let k(j) be the first derivative of -j**3/3 - j**2/2 + 1. Give g*t(x) - 2*k(x).
-x**3 + 2*x**2 - x
Suppose 0*x + x = -6. Let y(d) = d**2 + 8*d + 8. Let h(i) = -i**2 - 7*i - 7. Give x*h(g) - 5*y(g).
g**2 + 2*g + 2
Let z(m) = 6*m - 11. Let f(y) = -11*y + 22. Determine -4*f(o) - 7*z(o).
2*o - 11
Let q(s) = s + 3. Let r(h) = -h - 2. Let k(m) = -4*q(m) - 5*r(m). Let j be 2/2*(1 + 1). Suppose -3*p = -j*p - 2. Let u(v) = -v + 1. Determine p*u(l) + k(l).
-l
Let n(h) = 2*h**2 - h**2 + 3 - 5*h**2 + 0. Let j(s) = -9*s**2 + 7. Calculate 6*j(z) - 14*n(z).
2*z**2
Suppose 4*w = -3*q - 27, -20 = 3*w - 3*q - 5. Let y(g) = -5*g**3 + 8*g**2 + 2*g + 6. Let x(a) = 4*a**3 - 7*a**2 - 2*a - 5. Calculate w*x(m) - 5*y(m).
m**3 + 2*m**2 + 2*m
Let x(m) = 23*m**2 + 17*m + 17. Suppose 2*k - 6 = 3*k. Let w(r) = 8*r**2 + 6*r + 6. Determine k*x(g) + 17*w(g).
-2*g**2
Let i(d) = -d - 1. Suppose 8*r - 2*r + 24 = 0. Let n(s) = -3*s - 5. Determine r*i(h) + n(h).
h - 1
Let h(z) = 23*z**2 + 17*z - 17. Let j(t) = -2*t - 6 + 8*t**2 + 8*t + 0*t. Suppose -58 = 4*a + 10. What is a*j(d) + 6*h(d)?
2*d**2
Let o be (-3)/2*24/36. Let c(w) = -w + 1. Let r(n) be the second derivative of -2/3*n**3 + n**2 - 2*n + 0. Determine o*r(v) + 3*c(v).
v + 1
Let z(d) = -2*d**2 - 5*d - 6. Let v(i) = -i**2 - 4*i - 5. Give -3*v(h) + 2*z(h).
-h**2 + 2*h + 3
Let s(p) = -13*p. Let r(n) = 6*n. What is 5*r(m) + 3*s(m)?
-9*m
Let x(y) = -8*y**2 - 5*y + 5. Let f(w) = w + 1. Let n(q) = 7*q**2 + 6*q - 2. Let a(v) = -2*f(v) + n(v). Suppose m + 1 = 6. Calculate m*a(h) + 4*x(h).
3*h**2
Let t(f) = 3*f + 13. Let i(g) = 5*g + 20. Calculate -5*i(l) + 8*t(l).
-l + 4
Let j(i) = 47*i. Let o(m) = 1. Give -j(z) + 2*o(z).
-47*z + 2
Let u(x) = 19*x**2 - 6*x + 6. Let v(h) = -533*h**2 + 169*h - 169. Give -169*u(m) - 6*v(m).
-13*m**2
Let f(w) = -5*w + 6. Let r(x) = -14*x + 17. Let u(a) = -17*f(a) + 6*r(a). Let m be u(6). Let g(h) = -2*h + 11. Let s(i) = i - 5. Give m*g(v) + 13*s(v).
v + 1
Suppose 3*w = -2*z - 0*w - 11, 0 = 4*w + 4. Let y be -2*10/z - 0. Let f(c) = 14*c**2 + 8. Let g(d) = -3 - d**2 - 2 - 8*d**2. Give y*f(s) + 8*g(s).
-2*s**2
Let d(t) = 2*t**2 - 2*t - 30. Let z(s) = 6*s**2 - 5*s - 90. Calculate -11*d(h) + 4*z(h).
2*h**2 + 2*h - 30
Let f(x) = -1 - 4*x + 7*x + 2*x. Let a = 7 + 2. Let i(u) = 11*u - 2. Let n = -217 + 213. Calculate a*f(v) + n*i(v)