b).
b - 4
Let a(d) = -d**3 - 4*d**2 + 6*d + 2. Let w(b) = 2*b**3 + 7*b**2 - 11*b - 4. Let m be (-1)/(69/33 - 2). Let j = -7 - m. Calculate j*w(z) + 7*a(z).
z**3 - 2*z - 2
Let m(s) = s - 1. Let v(j) = -7*j + 4. Determine 5*m(a) + v(a).
-2*a - 1
Suppose p = -0*p + 3. Let w be (8/6)/((-6)/(-9)). Let g(m) = -5*m**2 - 2*m**w + p*m**2. Let d(c) = -c**2. Determine -3*d(k) + g(k).
-k**2
Let t(c) = -5*c**3 - 3*c**2 + 4*c - 4. Let s(g) = 10*g**3 + 6*g**2 - 7*g + 7. Calculate -4*s(a) - 7*t(a).
-5*a**3 - 3*a**2
Let v(q) = 7*q**3 - 5*q**2 - 8*q. Let j(d) be the second derivative of -7/6*d**4 + 0*d**2 - 23/6*d**3 + d**5 + 0 - 2*d. Determine -6*j(i) + 17*v(i).
-i**3 - i**2 + 2*i
Let c(m) = 4*m**3 - 2. Suppose 2*s + 3*r = 0, 2*r - 5*r = -12. Let k(p) = -3*p**3 + 2. Suppose -n = 3*u + 18, u + 0*n - n = -2. Calculate s*k(a) + u*c(a).
-2*a**3 - 2
Let s(o) be the first derivative of -o**4/4 + o**3 + 3*o**2/2 + o - 1. Let h(p) = -p + 2*p - 6*p + 2*p**3 - 5*p**2 - 2. What is 6*h(c) + 10*s(c)?
2*c**3 - 2
Suppose 0 = -l + 2*p - 3, -l + 5*p - 6 = 2*p. Let x(i) = i - 8. Let q(b) = 2*b - 23. What is l*q(h) - 8*x(h)?
-2*h - 5
Let w(n) = -n - 1. Let x(l) = 16*l + 20. Determine 36*w(i) + 2*x(i).
-4*i + 4
Let i(y) = y - 5. Let n(j) = 1. Suppose s - w - 2 = 0, -s + 9 = -4*s - 2*w. Let v(x) = s*i(x) + 5*n(x). Let c(t) = 2. Determine -11*c(m) + 2*v(m).
-2*m - 2
Let b(k) = k**2 - k - 1. Let g(x) = x**2 + 6*x + 9. Let z(f) = 2*f**2 + 17*f + 26. Let q(m) = 8*g(m) - 3*z(m). Suppose 4 = 2*i + 6. Give i*q(v) + 4*b(v).
2*v**2 - v + 2
Let b(c) = 15*c**2 - 2*c + 1. Let d(g) = 75*g**2 - 10*g + 6. What is -11*b(o) + 2*d(o)?
-15*o**2 + 2*o + 1
Let l(r) be the second derivative of 2*r + 0*r**4 + 0 - 5/2*r**2 - 7/20*r**5 + 5/6*r**3. Let c(m) = 4*m**3 - 3*m + 3. What is -5*c(v) - 3*l(v)?
v**3
Let n(p) = p**3 - 9*p**2 + 21*p - 9. Let a(q) = -2*q**2 + 5*q - 2. Calculate -18*a(w) + 4*n(w).
4*w**3 - 6*w
Let h(u) = 5*u - 1. Let x(z) = z. Calculate h(t) - 2*x(t).
3*t - 1
Let a(s) = 10*s. Let o(x) = 8*x + 6. Let p(m) = 23*m + 16. Let r(k) = 8*o(k) - 3*p(k). Determine -2*a(g) - 5*r(g).
5*g
Let m be 63/(-14)*(-8)/6. Let s(n) = 9*n**3 + n**2 + 6. Let v(q) = q**3 + 1. What is m*v(h) - s(h)?
-3*h**3 - h**2
Let j(v) = -v**3 - 5*v**2 + 14*v + 1. Let o be j(-7). Let p(g) = -g - 1. Let u(m) = m. What is o*u(k) - 2*p(k)?
3*k + 2
Let s be (-5)/(30/(-99)) - (-3)/6. Let x(g) = -20*g - 11. Let h(c) = -7*c - 4. What is s*h(t) - 6*x(t)?
t - 2
Let y(x) be the third derivative of x**5/15 + x**4/12 + 2*x**3/3 + x**2 - 2. Let t(g) = -g**2 - 1. Let k = -2 - -1. What is k*y(l) - 3*t(l)?
-l**2 - 2*l - 1
Let o(b) = -6*b**2 + 11*b - 92. Let q(c) = 2*c**2 - 4*c + 31. Determine 4*o(k) + 11*q(k).
-2*k**2 - 27
Let c(s) = -15*s. Let a(z) = -30*z. Determine -6*a(h) + 13*c(h).
-15*h
Let x(k) = -72*k**2. Let m(c) = -2*c**2. Determine 90*m(g) - 2*x(g).
-36*g**2
Let q(l) = 2*l**2 - 14. Let g(w) = 1. Calculate -28*g(t) - 2*q(t).
-4*t**2
Let x(u) = -57*u**2 - 6*u - 6. Let y(a) = 1254*a**2 + 133*a + 133. Calculate 133*x(k) + 6*y(k).
-57*k**2
Let z(s) = -s**2 + s. Let k(m) = -2*m**2 - 5*m + 1. Calculate -k(w) - 5*z(w).
7*w**2 - 1
Let z(q) = -2*q**2 + 2*q + 1. Let k(j) = j. Let p be (1 - (-7)/(-5))*-5. Let r(u) = 5*u**2 - 10*u - 3. Let l(g) = p*r(g) + 10*k(g). Determine -2*l(c) - 11*z(c).
2*c**2 - 2*c + 1
Let m(u) = -7*u - 7. Let h(n) = -15*n - 15. Determine 6*h(p) - 13*m(p).
p + 1
Let z(o) = -5*o + 1. Let b(m) = -6*m + 1. Suppose r - 1 = -2*v, 0*v + v = -4*r + 18. What is r*z(s) - 4*b(s)?
-s + 1
Let y(h) = 11*h - 3. Let k(c) = c + 1. Suppose 0 = -4*i - 0*i + 24. Let g(s) = -10*s - 5. Let l(o) = i*k(o) + g(o). Calculate -8*l(t) - 3*y(t).
-t + 1
Let h(i) = 4*i**2 - 12*i. Suppose -3 + 27 = 2*o. Let m(r) = -r. What is o*m(z) - h(z)?
-4*z**2
Let b(a) = -70*a + 5. Let t(q) = 70*q - 6. Determine -6*b(s) - 5*t(s).
70*s
Let g(z) = -z**3 + 2*z + 13. Let b(p) = 2*p**3 - 5*p - 25. What is 2*b(a) + 5*g(a)?
-a**3 + 15
Let m(j) = 5*j + 0*j - 6*j + 7 - 2*j. Let b(g) be the first derivative of g**2/2 - 3*g + 2. Give -5*b(i) - 2*m(i).
i + 1
Let k(v) = -2*v**2 - 3*v. Let r = 4 + 29. Suppose 13 = 4*f + r. Let c(a) = -4*a**2 - 5*a. Give f*k(h) + 3*c(h).
-2*h**2
Let l(d) = -15*d**3 - 20*d - 20. Let m(z) = 2*z**3 - 2 - 3 + 5 + 3 + 3*z. Calculate 3*l(x) + 20*m(x).
-5*x**3
Let x(n) = -8*n + 8. Suppose 5*o = 2*c + 12, -2*o + 7 = c - 5. Let l = -15 + c. Let k be 48/(-30)*(-15)/6. Let h(d) = -3*d + 3. Determine k*x(r) + l*h(r).
r - 1
Let a(v) = -5*v + 14*v + v. Let m be -3 - 0 - (-15 + 2). Let s = m + -13. Let u(x) = -2*x. Determine s*a(g) - 14*u(g).
-2*g
Let y(g) = -10*g - 1. Let w(d) = 5*d + 1. Give 5*w(j) + 3*y(j).
-5*j + 2
Suppose 0 = 4*l + 4*j - 0 + 28, 4*l + 73 = 5*j. Let p = -10 - l. Let o(a) = a**2 - 1. Let v(d) = -3*d**2 + 2. What is p*o(u) + v(u)?
-u**2
Let j(r) = -2*r - 6. Let y(w) be the first derivative of -w - 42. What is -j(h) + 5*y(h)?
2*h + 1
Suppose 0 = -0*a + 5*a - c - 40, -2*a - c + 16 = 0. Let t(f) = -14*f + 8. Let o(y) = -5*y + 3. Give a*o(u) - 3*t(u).
2*u
Let x(f) = 4*f + 3. Let u(o) = -9*o - 7. What is 6*u(n) + 13*x(n)?
-2*n - 3
Let g be 3/((3/2)/(-3)). Let r(n) = n - n**2 - 1 - 2*n + 0*n. Let h(v) = v. Let a be h(-1). Let z(y) = 8*y**2 + 8*y + 8. Calculate a*z(s) + g*r(s).
-2*s**2 - 2*s - 2
Let w(j) = -1 + 10*j + 5 - 3. Let r(d) = -3*d. Let v = -1 + -1. Determine v*w(k) - 7*r(k).
k - 2
Let u(j) = -2*j**2. Let k(m) = -2*m**2. Let s = -50 - -46. Determine s*k(c) + 5*u(c).
-2*c**2
Let q(u) = 2*u + 2. Let r(k) = -k**3 + 3*k + 3. Let i(p) = -p**2 - 5*p + 7. Let g be i(-6). Let m be ((-6)/15)/(g/5). Give m*r(h) + 3*q(h).
2*h**3
Let s(f) = 41*f**3 - 15*f**2 - 17*f - 17. Let k(u) = -14*u**3 + 5*u**2 + 6*u + 6. Calculate -17*k(l) - 6*s(l).
-8*l**3 + 5*l**2
Let a(h) = -2*h**2 - 4*h - 4. Let k be (-2 - 1)*7/(-7). Let n(j) be the third derivative of j**5/30 + j**4/8 + j**3/2 + 3*j**2. Give k*a(f) + 4*n(f).
2*f**2
Let h(z) = z + 1. Let v(t) = 3 + 3 - 2 - 3. What is 3*h(u) - 4*v(u)?
3*u - 1
Let a(h) = -h - 1. Let j(t) = -45*t - 9. Determine 9*a(n) - j(n).
36*n
Let j(c) = -5*c**2 + 5*c - 4. Let x(h) = 4*h**2 - 8*h + 3. Let b(r) = 12*r**2 - 23*r + 9. Let d(g) = 4*b(g) - 11*x(g). Calculate 3*d(o) + 2*j(o).
2*o**2 - 2*o + 1
Let w(r) = 5*r**2 + 2*r + 2. Let y(j) be the third derivative of -4*j**5/15 - 7*j**4/24 - 7*j**3/6 + 8*j**2. Calculate -7*w(t) - 2*y(t).
-3*t**2
Suppose 3 = -m + 2*o, 4*m + 3 = -4*o + 39. Let n(b) = 2*b**2 + 8*b + 1. Let p(r) = -2*r**2 - 7*r - 1. What is m*n(y) + 6*p(y)?
-2*y**2 - 2*y - 1
Let p(i) = 13*i**3 + 4. Suppose 21 = 4*o - 3*m, -m - 3*m - 27 = -5*o. Let x(k) = 6*k**3 + 2. What is o*p(u) - 7*x(u)?
-3*u**3 - 2
Let v(g) = g**2 - 3*g + 4. Let f(y) = -y**2 + 4*y - 5. Let l(z) = 2*f(z) + 3*v(z). Let w(b) = 2*b**2 - 2*b + 5. Calculate -14*l(x) + 6*w(x).
-2*x**2 + 2*x + 2
Let u(h) = 4*h**3 - 2*h**2 + 2. Suppose 2*k + 2*k + 24 = 0. Let c(v) = -9*v**3 + 5*v**2 - 5. What is k*c(f) - 15*u(f)?
-6*f**3
Let g(f) = -f**2 + f - 1. Let a(y) = 10*y**2 - 9*y + 10. Suppose 50 = 3*o - 4. Calculate o*g(v) + 2*a(v).
2*v**2 + 2
Let p(g) = -9*g**2 - g + 3. Let q(n) = 5*n**3 - n**2 + 4*n - 3. Let s be q(1). Let b(h) = -4*h**2 + 1. Give s*b(u) - 2*p(u).
-2*u**2 + 2*u - 1
Let d(x) = 7*x**2 - x. Let t(q) be the first derivative of 8*q**3/3 - q**2/2 + 1. Suppose 12 = -10*c + 8*c. What is c*d(o) + 5*t(o)?
-2*o**2 + o
Let r(l) = -2*l - 5. Let j be r(6). Suppose 11 - 29 = 3*u. Let z(o) = -8*o**2 + o + 1. Let m(b) = 23*b**2 - 3*b - 3. Calculate j*z(f) + u*m(f).
-2*f**2 + f + 1
Let t(v) = -23*v + 2. Let x(d) = -47*d + 4. What is -7*t(u) + 4*x(u)?
-27*u + 2
Let n(l) = 2*l**2 - 3*l + 1. Let p = 6 - 4. Let m(x) = -2*x**2 + 4*x - 2. What is p*m(g) + 3*n(g)?
2*g**2 - g - 1
Let q(u) = 5*u. Let f be (-15)/(-10)*(-1 + -1). Let k(d) = -2*d. Calculate f*q(j) - 7*k(j).
-j
Let q(u) = u**2 + u - 1. Let v(f) = 26*f**3 + 104*f**2 + 104*f - 104. What is 312*q(o) - 3*v(o)?
-78*o**3
Suppose 7*c + 2 + 5 = 0. Let f(p) = -7*p**2 - 3*p - 1. Let t(l) = -l**2. Determine c*f(x) + 6*t(x).
x**2 + 3*x + 1
Let j(b) be the first derivative of -2*b**3/3 + 3*b - 1. Let i(z) = 5*z**2 - 8. Suppose -49*w - 123 = -8*w. What is w*i(f) - 8*j(f)?
f**2
Let g(b) = b**3 + b**2. Let d(f) = -7*f**3 + 4*f**2. What is d(k) - 4*g(k)?
-11*k**3
Let a(v) = -6*v**3 + 6*v**2 - 5. Let y(g) = 7*g**3 - 6*g**2 + 6.