b).
2*b**2 + 2*b - 1
Let v(c) = 2*c**3 + 2*c**2 + 2*c. Let x = -5 + 1. Let i be 2/x - 5/(-2). Let o(l) = 3*l**3 + 2*l**3 - l**3 + 5*l + 5*l**2. Determine i*o(m) - 5*v(m).
-2*m**3
Let j(x) = -2*x - 6. Let v(r) = -2*r - 5. Let b be 2/(((-21)/6)/(-7)). Give b*v(m) - 3*j(m).
-2*m - 2
Let o(x) = 3*x. Let l(a) be the third derivative of a**4/3 - 23*a**2. Determine -5*l(w) + 12*o(w).
-4*w
Let n(y) = -y**3 - y**2 - 1. Let v(u) = 9*u**3 + 6*u**2 + u + 6. Suppose -l - 2*z = 9, -3*z = 4*l - 7 + 18. Give l*v(h) + 6*n(h).
3*h**3 + h
Let a(j) = j**3 - j. Let y(f) = 5*f**3 - 4*f + 2. Suppose 0 = i + 3*i. Suppose -2*k + 2*l - 6 = 0, l + i = 2. Calculate k*y(x) + 4*a(x).
-x**3 - 2
Suppose -2*f - f = j + 24, j - 4*f - 11 = 0. Let a(y) = 4*y**3 - 8*y**2 - 8*y - 9. Let m(v) = -v**3 + 2*v**2 + 2*v + 2. Give j*m(h) - 2*a(h).
h**3 - 2*h**2 - 2*h
Let d(h) = 4*h**2 + 2*h - 61. Let o(p) = -9*p**2 - 5*p + 123. Give 5*d(t) + 2*o(t).
2*t**2 - 59
Let p(k) = k - 1. Let a(f) = -110*f + 121. Calculate -2*a(s) - 242*p(s).
-22*s
Let i(u) = u**3 + u**2 - 8*u. Let y(n) = n**3 + n**2 - 15*n. Calculate -5*i(g) + 3*y(g).
-2*g**3 - 2*g**2 - 5*g
Let t(n) = -3. Let a(l) = l - 4. Calculate -4*a(d) + 6*t(d).
-4*d - 2
Let i(n) = -2*n + 6. Let w(x) = -x + 5. Give 3*i(h) - 4*w(h).
-2*h - 2
Let w(m) = -8*m**2 - 6. Let k = -2 - -8. Let x(t) = 14*t**2 + 7 - 3*t**2 - 2*t**2. Determine k*x(d) + 7*w(d).
-2*d**2
Let y = 302 + -299. Let n(t) be the third derivative of t**6/120 - t**5/15 + 2*t**3/3 - t**2. Let s(r) = -r**3 + 3*r**2 - 3. Calculate y*n(j) + 4*s(j).
-j**3
Let u(w) = -w + 1. Suppose g + 2*g - 24 = -4*k, -14 = -2*k - 2*g. Let y(r) = -r**2 + 5*r - 5. Suppose 5*d - 6 = -1. Calculate d*y(h) + k*u(h).
-h**2 + 2*h - 2
Let j(k) = -2*k**2 - 2*k - 1. Let x(t) = 4*t**2 + 5*t + 1. Calculate 5*j(l) + 2*x(l).
-2*l**2 - 3
Let v(c) = -c - 29. Let t(p) = -2*p - 58. Give 4*t(q) - 7*v(q).
-q - 29
Let d(v) = -9*v + 4. Let q(k) = 8*k - 3. Calculate -2*d(o) - 3*q(o).
-6*o + 1
Let c be 12/(-14)*14/2. Let x = -37 + 63. Let i(l) = 2*l**3 + l - 1. Let m(z) = 9*z**3 + 4*z - 4. Give c*m(o) + x*i(o).
-2*o**3 + 2*o - 2
Suppose -3*b = -0*b + 21. Let c(x) = 5*x**3 + 6*x - 6. Suppose 8 = 4*o + 4*d, -3*o - 1 = -5*d - 39. Let p(q) = 6*q**3 + 7*q - 7. Calculate b*c(h) + o*p(h).
h**3
Let j(q) = -q - 8. Let v(p) = 2*p + 16. Calculate 7*j(s) + 3*v(s).
-s - 8
Let j(l) = 9*l - 11. Suppose -3*m - 5*t + 26 = 0, -4*t - 7 = -m - 4. Suppose i - m = u, 5*i + u - 2 = 21. Let w(d) = -5*d + 6. Give i*w(x) + 3*j(x).
2*x - 3
Let s(q) = q + 2*q**3 - 3*q**3 + 3*q + 4*q**2. Let n(h) = 3*h**2 + 10*h**3 - 2*h**3 - 5*h**3 - 4*h**3 + 3*h. What is -4*n(x) + 3*s(x)?
x**3
Let x(r) = r**3 + r**2 + r + 1. Let m(y) = 4*y**3 + 5*y**2 + 3*y + 3. Let c = -121 + 124. Determine c*x(q) - m(q).
-q**3 - 2*q**2
Let n(j) = 6*j**3 - 6*j**2 + 6*j + 6. Let z(d) = -d**2 + d + 1. What is n(u) - 6*z(u)?
6*u**3
Let t(x) = 6*x**2 + 7*x - 10. Let b(c) be the first derivative of -5*c**3/3 - 3*c**2 + 9*c + 25. What is -7*b(p) - 6*t(p)?
-p**2 - 3
Let q(f) = -3 - 4 - 6*f**2 - 2*f + 2*f. Let h(w) = w**2 + 1. Let t = 3 + -5. Let n = t - 0. What is n*q(b) - 14*h(b)?
-2*b**2
Let k(d) = 5*d - 41. Let l be k(8). Let n(q) = -q + 1. Let w(f) = f**3 - 7*f + 8. What is l*w(x) + 5*n(x)?
-x**3 + 2*x - 3
Let o(v) = -48*v**2 + 8*v - 14. Let k(a) = 32*a**2 - 5*a + 9. Calculate -8*k(y) - 5*o(y).
-16*y**2 - 2
Let c(b) = 40*b**2 - 12*b - 12. Let f(d) = 16*d**2 - 5*d - 5. Give 5*c(w) - 12*f(w).
8*w**2
Let k(o) = -o**3 - 4*o**2 - 3*o - 2. Let c(u) = -u**2 - u - 1. Let g(a) = a**3 - 5*a**2 - 7*a + 7. Let i be g(6). What is i*k(h) - 3*c(h)?
-h**3 - h**2 + 1
Let z(q) = -7*q - 1. Let o be z(-1). Let u(t) = -4*t**2 + 27*t - 23*t + 0 + 0 + 6. Let j(l) = 5*l**2 - 5*l - 7. Calculate o*u(v) + 5*j(v).
v**2 - v + 1
Let c(d) = -24*d - 17. Let v(k) = -6*k - 4. Determine 6*c(s) - 26*v(s).
12*s + 2
Let g(w) = -2*w + 6. Let y(h) = 2*h - 7. Determine 6*g(m) + 5*y(m).
-2*m + 1
Let a(h) = -4*h + 4. Let z(j) = -5*j + 3. Calculate 3*a(k) - 4*z(k).
8*k
Let d(n) = -2*n**2 - 5*n + 24. Let j(u) = u**2 + u - 1. Give d(i) + 5*j(i).
3*i**2 + 19
Let u(h) = -15 - 21*h**2 + 18 + 14*h**2. Let j(w) = 7*w**2 - 2. Determine 3*j(r) + 2*u(r).
7*r**2
Let r(j) = -44*j**3 - 6*j**2. Let o(l) = -89*l**3 - 13*l**2. Calculate 6*o(c) - 13*r(c).
38*c**3
Suppose a - 4*a - 3 = 0. Let d(f) = f**2 + 3*f + 2. Let r(y) = -y**2 - y. Calculate a*d(s) - 2*r(s).
s**2 - s - 2
Let o(g) = -36*g - 18. Let m(p) = -73*p - 36. Let k(j) = -3*m(j) + 5*o(j). Let h(s) = 11*s + 5. Suppose -z + 80 = 75. What is z*k(q) - 18*h(q)?
-3*q
Let o(d) = d**3 + d**2 - 3. Let g(a) = a**3 + a**2 - 2. Let t(z) = 4*g(z) - 3*o(z). Let f(u) = 4*u**3 - u**2 + 4*u**2 + 4 + 0*u**3. Determine f(j) - 3*t(j).
j**3 + 1
Let a(v) = -4*v**3 - 2*v**2 + 2*v - 3. Let u(c) = 3*c + 25. Let l be u(-8). Let x(b) = b**3 + b**2 - b + 1. Calculate l*a(d) + 2*x(d).
-2*d**3 - 1
Let h(w) = w + 1. Let k(y) = 2*y + 1. Determine 4*h(f) - 3*k(f).
-2*f + 1
Let w be (-12)/(-30) + ((-7)/5 - -2). Let l(g) = -2*g**2 - 4*g - 4. Let j(n) = 3*n + 2 - 2*n + 1 - 2. Calculate w*l(f) + 5*j(f).
-2*f**2 + f + 1
Let b(c) = c. Let m(h) be the first derivative of -h + 17. Let a be (2 + -1 - -1) + 0. What is a*b(g) - m(g)?
2*g + 1
Let w(l) = -2*l**3 - l**2 + 8. Let j(z) = -2*z**3 - z**2 + 9. Give -4*j(b) + 5*w(b).
-2*b**3 - b**2 + 4
Suppose 2 - 4 = -y. Suppose -6*v + y*v - 24 = 0. Let h(x) = -7*x - 6. Let c(w) = 13*w + 11. What is v*c(a) - 11*h(a)?
-a
Let m(u) = -2*u + 1. Suppose 0*r - 4*r + 12 = 0. Let j(q) = 7*q - 2 - r*q + 0. Calculate -2*j(a) - 5*m(a).
2*a - 1
Let z(k) = -508 - 511 + 1021 - 2*k + 3*k. Let m(x) be the third derivative of x**3/6 + x**2. Calculate m(c) + z(c).
c + 3
Let f(i) = i**2 + 2*i. Let w = 0 - -1. Let h be w*(0 - 1) + 2. Suppose 2*m - 2*s = 2*s, -h = m - 3*s. Let n(z) = 2*z**2 + 3*z. What is m*n(t) - 3*f(t)?
t**2
Let a(o) = o**2 - 2*o + 8. Suppose 0*y = 2*y - 4. Let r(u) be the first derivative of 0*u - y*u + 4*u - u + 1. What is -a(d) + 6*r(d)?
-d**2 + 2*d - 2
Let a = 6 + -11. Let k(w) = 2*w**3 + 5*w - 5. Let j(l) = -2*l**3 - 4*l + 4. Let s be ((-15)/(-1))/3 + -3. Let v = s - 6. Give a*j(q) + v*k(q).
2*q**3
Let x(i) = -i**3 - i**2 - 2*i. Let a(n) = -4*n**3 - 4*n**2 - 7*n. What is 2*a(j) - 7*x(j)?
-j**3 - j**2
Let d(o) be the second derivative of -3*o**5/20 + o**3 + 3*o**2 + 3*o. Let a(p) = 6*p**3 - 11*p - 11. Give -6*a(k) - 11*d(k).
-3*k**3
Let c(d) = -1. Let i(l) = -3*l**2 - 5. Determine -5*c(m) + i(m).
-3*m**2
Let u(w) = 11*w + 3. Let j(k) be the third derivative of -k**4/8 - k**3/6 + 5*k**2. Let x(y) = 9*j(y) + 2*u(y). Let i(s) = -9*s - 5. Give -4*i(z) + 7*x(z).
z - 1
Let s(h) = h**3 - 8*h**2 - 9*h - 4. Let i be s(9). Let b(l) = -2*l**2 - 2*l - 5. Let n(a) = 6*a**2 + 6*a + 14. Determine i*n(p) - 11*b(p).
-2*p**2 - 2*p - 1
Let s(p) = -p**2 + 5*p - 5. Let m(w) = -w + 1. Suppose -5*c + 3 = -22. Determine c*m(q) + s(q).
-q**2
Let p(l) = 16*l + 16. Let o(d) be the first derivative of -3*d**2/2 - 3*d - 2. Suppose -v + 1 + 3 = 0. Calculate v*p(i) + 22*o(i).
-2*i - 2
Let z(o) = -7*o**3 - o**2 - 4*o. Let r(p) = -6*p**3 - 4*p + 1. Let i(k) = -4*r(k) + 3*z(k). Let t(j) = 2*j**3 - 2*j**2 + 3*j - 3. Calculate -3*i(h) + 4*t(h).
-h**3 + h**2
Let r(b) = -3*b**2 - 2*b + 2. Let z(m) be the second derivative of -5*m**4/6 - 7*m**3/6 + 7*m**2/2 + m. Give -14*r(p) + 4*z(p).
2*p**2
Suppose -2*j + 16 = 2*j. Suppose 0 = j*c + c - 15. Let z(g) = -2*g + 1. Suppose -t = -1 + 3. Let k(d) = -2*d + 1. Determine c*k(f) + t*z(f).
-2*f + 1
Let z = 1 - -1. Let n(x) = x**3 + x + 1. Let f(k) = 2*k + 2 + 2*k**3 + k**3 + 0*k**3. Calculate z*n(l) - f(l).
-l**3
Suppose -4*j + 32 = 5*k, -k - 4*j = -0*j - 16. Let d(n) = -n - 1. Let v(p) = p**2 - 4*p - 4. Calculate k*d(q) - v(q).
-q**2
Let k(a) be the third derivative of a**6/40 - a**5/30 + 5*a**4/24 + 3*a**3/2 - 56*a**2. Let f(h) = -4*h**3 + 3*h**2 - 7*h - 13. What is -5*f(d) - 7*k(d)?
-d**3 - d**2 + 2
Let u(f) = -61*f**2 - 7*f. Let v(l) = -30*l**2 - 3*l. Determine 3*u(o) - 7*v(o).
27*o**2
Let a(o) = 2*o**3 - 8*o**2 - 4*o + 5. Let f(m) = -6*m**3 + 24*m**2 + 11*m - 14. What is -11*a(u) - 4*f(u)?
2*u**3 - 8*u**2 + 1
Let r(z) = 13*z**2 - 3*z + 15. Let q(f) = 7*f**2 - 2*f + 8. Let i(x) = 11*q(x) - 6*r(x). Let u(p) = -3*p**2 - 9*p - 5. What is -5*i(l) + 2*u(l)?
-l**2 + 2*l
Let i(a) 