b).
-b + 2
Let u(d) = 7*d**2 - 3*d. Let k(y) = -7*y**2 + 2*y. What is 3*k(o) + 2*u(o)?
-7*o**2
Let u(a) be the third derivative of -a**5/30 + a**4/24 + a**3/3 + 2*a**2 - 7*a. Let h(o) = -o**2 + 1. Determine 5*h(c) - 3*u(c).
c**2 - 3*c - 1
Let b(l) = -1. Let m be (3/(-2))/((-30)/(-60)). Let f(p) = 2*p**2 + 2*p. What is m*b(q) + f(q)?
2*q**2 + 2*q + 3
Let w be (-10)/1*(0 + -1). Let n(y) = -2*y**2 + 4 - w + 6 - 2*y. Let a(r) be the first derivative of 4*r**3/3 + 5*r**2/2 - 4. Calculate -2*a(z) - 5*n(z).
2*z**2
Let a(r) = 2*r**2 + r. Let g(l) = -7*l**2 - 5*l + 1. Calculate -9*a(f) - 2*g(f).
-4*f**2 + f - 2
Suppose -5*i + 35 = 5*r, -3*r = -6*r + i + 13. Let z(n) = -6*n - 6. Let l(d) = -7 - 2 + 2 - 7*d. Suppose -13 = 4*t + 11. Give r*l(w) + t*z(w).
w + 1
Let z(b) = 2*b - 12. Let k(s) = -s + 6. What is 5*k(m) + 2*z(m)?
-m + 6
Let k(f) = -13*f**2 - 2. Let r(j) = -51*j**2 - 9. What is -9*k(h) + 2*r(h)?
15*h**2
Let m = -97 - -95. Let w(z) = z**3 + z**2 + z - 1. Let n = -8 - -2. Let l(c) = -2*c**3 - 3*c**2 - 3*c + 3. Determine m*l(f) + n*w(f).
-2*f**3
Let r(w) = -15*w**2 - 11*w + 2. Let m(o) = -7*o**2 - 5*o + 1. Give -13*m(l) + 6*r(l).
l**2 - l - 1
Let m(f) = -f - 3*f - f**2 + 3*f**2. Let p = 6 - 4. Let h(l) = l**2 - l - 1. Let t(j) = 3*j**2 - 4*j - 2. Let x(n) = 2*h(n) - t(n). Give p*m(g) + 5*x(g).
-g**2 + 2*g
Let b(a) = 12*a - 20. Let n(r) = -r + 1. Let m(l) = b(l) + 16*n(l). Let h(d) = 5*d + 5. Suppose -4*g = -3*y + 25, g - 2*y = -6*y + 8. What is g*m(u) - 3*h(u)?
u + 1
Suppose -44 = 16*o - 14*o. Let r(m) = -m**2 + 4. Let d(p) = 4*p**2 - 15. Give o*r(c) - 6*d(c).
-2*c**2 + 2
Let z(b) = 312*b**3 + 39*b + 39. Let u(k) = 39*k**3 + 5*k + 5. Give -39*u(s) + 5*z(s).
39*s**3
Let i(n) = -1 - 1 - 1. Let c(r) = -r + 10. Let a(z) = -2*c(z) - 7*i(z). Let b(t) = t + 1. Give a(f) - 3*b(f).
-f - 2
Let p = 6 - 13. Let t = -1 + 5. Let j(v) = t + v - 3*v + v - 6. Let a(w) = -3*w - 5. Calculate p*j(q) + 3*a(q).
-2*q - 1
Let d(x) = -x**3 - x**2 - x - 1. Let r(o) = 6*o**3 + 3*o**2 + 3*o + 2. What is -6*d(p) - 2*r(p)?
-6*p**3 + 2
Let p(o) = 5*o. Let g(a) = -a. Suppose 0 = r - 1, 25 = -2*z + 5*z + r. Suppose 32 = 5*i - 18. Let q = z + i. Give q*g(h) + 4*p(h).
2*h
Let t(b) = 64*b**2 + 4*b - 4. Let s(r) = -13*r**2 - r + 1. What is 14*s(i) + 3*t(i)?
10*i**2 - 2*i + 2
Let k(v) = 69*v**2 - 8. Let t(x) = -46*x**2 + 5. Calculate 5*k(z) + 8*t(z).
-23*z**2
Let j(n) = -15*n**3 - 5*n**2 + 11*n - 11. Let o(d) = -d**2 - 3*d**3 - 2*d - 2 + 2*d + 2*d. Give 2*j(s) - 11*o(s).
3*s**3 + s**2
Let q(y) = 9*y**3 + 7*y**2 + 5*y + 3. Let g be 2/3 + (-119)/21. Let d(t) = 5*t**3 + 4*t**2 + 3*t + 2. Give g*d(j) + 3*q(j).
2*j**3 + j**2 - 1
Let f(x) = -x. Let z(r) = -3*r - 3. Calculate -f(q) - z(q).
4*q + 3
Let g(f) = f. Let d(w) = 4*w + 2. Let o = -52 + 47. Determine o*g(b) + d(b).
-b + 2
Let t(l) = -l - 1. Let p(z) = 3*z + 18. Give p(y) + 5*t(y).
-2*y + 13
Suppose -5*l - 35 = 5*f, 0*l - 26 = 4*l + 2*f. Let g(a) = 2*a**3 - 5*a**2 + 7*a. Let c(u) = u**2 - u. Determine l*c(t) - g(t).
-2*t**3 - t**2 - t
Let b(w) = -2*w - 9. Let x = -7 + 2. Let o(g) = -g - 4. Determine x*o(p) + 2*b(p).
p + 2
Let h(l) = 2*l**2 - l + 3. Let g(v) = v**2 + 1. Let c be 1*(0/4 + -1). Let i(a) = -2*a**2 + a - 3. Let u(n) = c*g(n) - i(n). Determine 3*h(z) - 4*u(z).
2*z**2 + z + 1
Let m(f) = f + 0*f - f**2 - 4 + 3. Let c(v) = -v**3 - v**2 + v - 1. Suppose 0 = u - 3*h + 11, -u + h = -4*h + 19. What is u*c(x) - m(x)?
-x**3
Let k(p) = p**2 + p. Let c(f) = 99*f**3 - 66*f**2 - 66*f. Calculate -c(n) - 66*k(n).
-99*n**3
Let z(h) = -2*h**2 - 4. Let m(y) = -y**2 - 1. Let l be (-6)/(-2) + 2 - 2. Suppose 40 = 5*s - 5*j, 24 = s - l*j + 8. Determine s*m(n) - z(n).
-2*n**2
Let x(z) = 1. Let s be 1 + 0/4 - (-1 - -1). Let q(a) = -2*a**2 + 2*a - 4. Determine s*q(m) + 3*x(m).
-2*m**2 + 2*m - 1
Let o(q) = -6*q**2 - 14*q + 14. Let b(l) be the first derivative of -2*l**3/3 - 5*l**2/2 + 5*l - 10. Calculate 11*b(h) - 4*o(h).
2*h**2 + h - 1
Let o(t) = t**2 - t + 2. Let c(d) = -2*d**2 - 2. What is 2*c(q) + 3*o(q)?
-q**2 - 3*q + 2
Let f(b) = -4*b**3 - 3*b**2 + 11*b + 7. Let p(y) = -2*y**3 - 2*y**2 + 6*y + 4. Give 4*f(m) - 7*p(m).
-2*m**3 + 2*m**2 + 2*m
Let y(g) = 2*g**2 + 22. Let l(z) = -z**2 - 11. Calculate 11*l(f) + 6*y(f).
f**2 + 11
Suppose -3 = -5*l - 8. Let d(t) = -2*t + t**2 + 0*t**2 + 0*t. Let j(q) = 158 + q - 319 + 160. Determine l*j(o) - d(o).
-o**2 + o + 1
Let k(m) = m + 1. Let o(w) = -2*w + 5. Let t be o(5). Let h(f) = -4*f - 3. Let v(x) = -4*x - 3. Let d(b) = -4*h(b) + 5*v(b). Calculate t*k(u) - d(u).
-u - 2
Let w = -10 - -21. Suppose a - 4 = -s, s - 5*s + 4*a = -16. Let c(j) = 6*j - s*j + 4*j. Let m(v) = -2*v. Give w*m(l) + 4*c(l).
2*l
Let y(d) = -2*d + 7. Let j(s) = s - 1. Calculate -6*j(n) - y(n).
-4*n - 1
Suppose 0 = -2*r + 5*r - 21. Suppose -3*b = -2 - r. Let t(z) = 7*z**3 - 5*z**2 + 5*z - 5. Let i(q) = -4*q**3 + 3*q**2 - 3*q + 3. Give b*t(d) + 5*i(d).
d**3
Let z(k) = -14*k**3 - 14*k**2 + 17*k + 56. Let g(s) = -5*s**3 - 5*s**2 + 6*s + 19. Determine -17*g(w) + 6*z(w).
w**3 + w**2 + 13
Let m(p) = p**2 + p. Let i(t) = 5*t**2 + 9*t + 2. Give i(l) - 6*m(l).
-l**2 + 3*l + 2
Let q(i) = 7*i**2. Let u(b) be the second derivative of b**4/2 + 2*b. Let z(p) = 2*p**2 + p - 1. Let s be z(-2). Determine s*q(a) - 6*u(a).
-a**2
Let g be 4*(-2)/(-4) + 0 - -7. Let i(j) = -8*j**3 - 9*j**2 + 9*j + 9. Let u(m) = -2*m**3 - 2*m**2 + 2*m + 2. What is g*u(o) - 2*i(o)?
-2*o**3
Let z(t) = 2*t**2 - 7*t - 3. Let a(o) = o**2 - 3*o - 2. What is -5*a(y) + 3*z(y)?
y**2 - 6*y + 1
Let j(f) = -f - 1. Let a(g) = 1. Give a(o) - j(o).
o + 2
Let l(r) = 7*r**2 + 8*r - 5. Let a(z) be the second derivative of 5*z**4/4 + 17*z**3/6 - 11*z**2/2 - 18*z. What is -6*a(t) + 13*l(t)?
t**2 + 2*t + 1
Let h be 3/2 + (-1)/(-2). Let r(z) = -4*z**3 - z - 2. Let i(g) = 5*g + 31*g**3 - 14*g**3 + 14 - 5. Let f be 176/20 - (-3)/15. Determine f*r(u) + h*i(u).
-2*u**3 + u
Let s(p) = 3*p**2 + p. Let x(f) = -f**2 + 4*f - 2. Let i be x(4). Let j be i/9 - 260/45. Let u(n) = -4*n**2 - n. Give j*s(r) - 5*u(r).
2*r**2 - r
Let w(q) = -2*q - 6. Let v(l) = 4*l - 13. Let y(r) = 3*r - 12. Let i be 4/14 + (-120)/(-21). Let m(f) = i*y(f) - 5*v(f). Determine 4*m(a) - 5*w(a).
2*a + 2
Suppose 0 = 3*t + 4*u - 9, -t + 3*u = u - 3. Let b(i) = -10*i + t + 3*i + 0 + 11*i**2. Let h = 25 - 22. Let p(a) = 5*a**2 - 3*a + 1. Give h*b(m) - 7*p(m).
-2*m**2 + 2
Let o(h) = 6*h - 5. Suppose 0 = 3*b + 33 - 6. Let w(q) = -13*q + 11. Give b*o(i) - 4*w(i).
-2*i + 1
Let s(i) = 5*i**2 + 1. Let z(g) = 6*g**2 + 1. What is -4*s(p) + 3*z(p)?
-2*p**2 - 1
Let y(j) = j. Let l(k) = 3*k**3 - 4*k - 2. What is l(a) + 4*y(a)?
3*a**3 - 2
Let f(q) = -q**2 - 5*q + 5. Let v(x) = 2*x - 2. Let p(d) = -3*f(d) - 5*v(d). Let b(k) = 10*k**2 + 16*k - 16. Give 5*b(z) - 16*p(z).
2*z**2
Let t(m) = -7*m + 7. Let s(x) = 13*x - 13. Let u(i) = 6*s(i) + 11*t(i). Let w(v) = -7*v + 8. What is 24*u(d) + 3*w(d)?
3*d
Let x(b) = 7*b**3 - 7*b**2 - 6*b - 5. Let f(n) = 3*n**2 + n**3 + 5*n + 4 - 7*n**3 + 3*n**2. Suppose -24 = 4*u + j, -6*j + 2*j = -5*u - 9. Give u*x(a) - 6*f(a).
a**3 - a**2 + 1
Suppose 0 = 6*p - 9*p + 54. Let u(w) = w - 1. Let x(i) be the first derivative of i**3/3 + 9*i**2/2 - 10*i + 2. Determine p*u(a) - 2*x(a).
-2*a**2 + 2
Let r(i) = -i**2 - i + 1. Let h(o) = -31*o**2 - 4*o + 4. Determine -h(j) + 4*r(j).
27*j**2
Let h(z) = z**3 - z**2. Let b(n) = n**3 + 6*n**2 - 5*n. Let s(m) = -m**3 - 3*m**2 + 3*m. Let f(l) = -6*b(l) - 10*s(l). Calculate -f(a) + 6*h(a).
2*a**3
Let a(h) = 6*h + 14. Suppose 5*q + 4*g + 5 = -51, -4 = g. Let u(j) be the first derivative of j**2 + 5*j - 2. Give q*u(v) + 3*a(v).
2*v + 2
Let q(w) = -3*w + 2. Let h = -22 - -21. Let j(a) = -2 + 2 - a. Give h*q(t) + 4*j(t).
-t - 2
Let n(q) = q - 1. Let p(o) = -3*o**2 - 7*o + 4. What is 4*n(t) + p(t)?
-3*t**2 - 3*t
Let u(t) be the second derivative of -9*t**5/20 + 7*t**4/6 + 6*t. Let j(m) = 3*m**3 - 5*m**2. What is -17*j(q) - 6*u(q)?
3*q**3 + q**2
Suppose -s + 8 = s. Let y(i) = 14*i**2 - 11. Let w(f) = 5*f**2 - 4. Give s*y(g) - 11*w(g).
g**2
Let w(t) = 7*t**2 + 6*t. Suppose g + 2*b - 14 = 5*g, -2*g - 2*b - 16 = 0. Suppose -2 = p - 5. Let c(r) = 4*r - 6*r - p*r - 6*r**2. Calculate g*w(z) - 6*c(z).
z**2
Let p(u) = 3*u**3 - u**2 + u + 1. Let l be p(-1). Let o(t) = 3*t**3 - 3*t**2 - 5. Let g(s) = -2*s*