(d).
-2*d**2 + 2*d + 3
Let a(v) be the third derivative of -v**5/30 + 7*v**4/12 - 5*v**3/6 + 6*v**2. Let o = -18 + 4. Let f = o + 22. Let m(r) = -r**2 + 5*r - 2. Give f*m(n) - 3*a(n).
-2*n**2 - 2*n - 1
Let f(u) = 3*u + 2. Let g = 30 - 29. Let j(h) = h. Give g*f(d) - 4*j(d).
-d + 2
Let r(z) = 7*z + 4. Let o(w) = 15*w + 9. What is -4*o(n) + 9*r(n)?
3*n
Let q(j) = -10*j**2 - 2*j + 70. Let n(w) = -4*w**2 - w + 28. Calculate 12*n(h) - 5*q(h).
2*h**2 - 2*h - 14
Let p(b) = 9*b**2 + 7*b + 7. Let r(l) = 17*l**2 + 13*l + 13. Let q(g) = 7*p(g) - 4*r(g). Let o(u) = -28 + 7*u - 19 + 11*u**2 + 54. Calculate 3*o(z) + 7*q(z).
-2*z**2
Let r(i) = 7*i**3 - 8*i**2 + 8*i + 8. Let s(j) = j**3 - j**2 + j + 1. Suppose -5*p - 2*n + 123 = -5*n, 3*p = 4*n + 76. Calculate p*s(c) - 3*r(c).
3*c**3
Let s(w) = 5*w**3 - 8*w**2 - 19*w. Let l(t) = -3*t**3 + 5*t**2 + 13*t. Determine -8*l(o) - 5*s(o).
-o**3 - 9*o
Let y(o) = 1. Let h(c) = -15*c - 4. Let u(a) = h(a) + 4*y(a). Let d(m) = 8*m. Give 5*d(r) + 3*u(r).
-5*r
Let r(s) = -2*s + 1. Let k = -5 - -3. Let a = -17 - -15. Let m(x) = x - 1. Determine a*m(f) + k*r(f).
2*f
Let a(l) = l + 1. Suppose -6*y + 3 = -9*y. Let v(z) = 2*z + 1 + 0 + z**2 - z. Calculate y*a(c) + v(c).
c**2
Let l(s) = 4*s**2 + s - 2. Let k(u) = -u**2 + u + 1. Determine -2*k(t) - l(t).
-2*t**2 - 3*t
Let w(s) = 27*s**2 - 6*s + 1. Let m(c) = -54*c**2 + 13*c - 2. Determine -6*m(v) - 13*w(v).
-27*v**2 - 1
Let s(i) = 2*i - 24. Let z(m) = 5*m - 71. Calculate 8*s(a) - 3*z(a).
a + 21
Suppose 71*k = 70*k + 3. Let f(x) = 4*x**3 + 3*x + 3. Let b(m) = -4*m**3 - 2*m - 2. Give k*b(c) + 2*f(c).
-4*c**3
Let m(f) = -2*f**2 - 2*f. Let k = -3 + 4. Let c(r) = -r**2. Let y = -10 - -14. Suppose 9*b + 20 = y*b. Calculate b*c(j) + k*m(j).
2*j**2 - 2*j
Let d(v) = -v - 1. Let k(u) = u + 2. Let s(o) = 5*d(o) + k(o). Let l(w) = 5*w + 1. Let p(j) = 1. Let x(z) = l(z) + 3*p(z). Determine 4*s(b) + 3*x(b).
-b
Let x(w) = -4 - 6*w - 1 + 8*w + 0. Let d(h) = -3*h + 9. Determine 5*d(r) + 9*x(r).
3*r
Suppose -2*w + 7 = 1. Suppose -1 = w*x + 5. Let q(m) = m**3 + 1. Let y(b) = 4*b**3 + 3. Determine x*y(i) + 6*q(i).
-2*i**3
Let i(w) = -2*w**2 + w + 45. Let y(x) = -x**3 - 9*x**2 + 4*x + 181. What is -9*i(a) + 2*y(a)?
-2*a**3 - a - 43
Let d(s) = 12*s - 1. Let n(p) = 8*p - 1. Determine -5*d(b) + 8*n(b).
4*b - 3
Let c(v) = -82*v - 17. Let g(i) = -27*i - 6. What is -4*c(d) + 11*g(d)?
31*d + 2
Let o be 26/4 + 2/4. Let c = 10 - o. Let r(j) = 4 + 2*j - c + 2*j. Let x(b) = -5*b - 1. Give 4*r(f) + 3*x(f).
f + 1
Let n(a) = 28*a**2 - 11*a + 11. Let z(x) = -7*x**2 + 3*x - 3. Calculate 6*n(l) + 22*z(l).
14*l**2
Let u be (8/(-14))/(25/(-175)). Let a(f) = -5*f**2 - 2*f - 1. Let j(y) = -6*y**2 - 2*y - 1. Let q be ((-5)/(-10))/(1/(-6)). Calculate q*j(l) + u*a(l).
-2*l**2 - 2*l - 1
Let h(n) = n**2 - 2*n + 1. Let x(u) = -9*u + 3*u**2 + 7*u - 6*u**2 + 2 + 4*u**2. What is 3*h(p) - 2*x(p)?
p**2 - 2*p - 1
Let a(i) = -2*i - 1. Let s(w) = 5*w + 0*w + 2 + 0. Let t = 48 - 34. Determine t*a(k) + 6*s(k).
2*k - 2
Let y(a) = a. Let p(t) be the third derivative of -t**4/2 + 60*t**2. What is -p(c) - 6*y(c)?
6*c
Let i = -6 - -3. Let a(l) be the third derivative of 2*l**6/15 - 2*l**2. Let b(j) = 5*j**3. What is i*a(y) + 10*b(y)?
2*y**3
Let l(s) = 17*s - 3. Let z(b) = 9*b - 2. Calculate -3*l(q) + 5*z(q).
-6*q - 1
Let r(n) = -9*n**3 - n + 11. Let i(v) = -14*v**3 - 2*v + 16. What is 5*i(d) - 8*r(d)?
2*d**3 - 2*d - 8
Let a(d) = 2*d + 24. Let n(o) = -2*o - 1. What is a(h) + 2*n(h)?
-2*h + 22
Let k(o) = -o**2 + o - 4. Let p(b) = -2*b**2 + 2*b - 9. Suppose 0 = 5*j - 27 - 28. Let w = j + -16. Calculate w*k(z) + 2*p(z).
z**2 - z + 2
Let i(t) = -2*t + 6. Let q(g) = g + 5. Let o be q(-5). Suppose 5*s - 35 = -5*u, 0 = u - o*u - 5. Let l(z) = -5 - s - z + 3*z. What is -6*i(b) - 5*l(b)?
2*b - 1
Let v(l) = -20*l**2 - 4. Let b(o) = 20*o**2 + 5. Give -3*b(z) - 4*v(z).
20*z**2 + 1
Let c(z) = -z**2 - 2. Let y(u) = 2. Calculate -3*c(d) - 2*y(d).
3*d**2 + 2
Let s(u) = -u - 2. Let w(y) = -2*y - 2. Calculate -11*s(a) + 6*w(a).
-a + 10
Let k(x) = 15*x**2 - 11. Let n(h) = 8*h**2 - 6. Determine 6*k(m) - 11*n(m).
2*m**2
Let o(m) = -4*m + 4. Let s(c) = 5*c - 5. Determine -4*o(v) - 3*s(v).
v - 1
Let q(f) = 5*f**3 - 11*f**2 - 11*f. Let u(a) = -11*a**3 + 6*a**2 - 2*a. Let g(x) = 4*x**3 - 2*x**2 + x. Let b(l) = 8*g(l) + 3*u(l). Determine -11*b(v) - 2*q(v).
v**3
Let m(r) = -7*r + 1. Let b(i) = -15*i + 3. What is -3*b(a) + 7*m(a)?
-4*a - 2
Suppose -2*i - 22 = -0*i + 2*p, 5*i + 55 = -p. Let d(z) = -2*z - 15. Let r(m) = -749 + 757 + m + 0*m. Calculate i*r(u) - 6*d(u).
u + 2
Let o(t) = 8*t**2 - 6*t - 1. Let m(b) = 7*b**2 - 5*b - 1. Calculate -7*m(d) + 6*o(d).
-d**2 - d + 1
Let b(q) = q**3 + q**2 + q - 1. Let m(y) = 4*y**3 + 3*y**2 + 2*y + 6. Calculate -2*b(r) + m(r).
2*r**3 + r**2 + 8
Suppose 8*q + 20 = 13*q. Let z(v) = -1 - v + 3 - 3. Let i(f) = 3*f + 2. Determine q*z(u) + 2*i(u).
2*u
Let u(p) be the first derivative of -3*p**4/4 + 4*p - 8. Let q(x) = 3*x**3 - 3. Determine 4*q(b) + 3*u(b).
3*b**3
Let r(c) = c**3 + c**2 + 1. Let z(g) = 11*g**3 + g**2 + g + 1. Give -r(f) + z(f).
10*f**3 + f
Let j(s) = s**2 - 5*s - 15. Let p(v) = -v**2 + 4*v + 14. Calculate 6*j(t) + 7*p(t).
-t**2 - 2*t + 8
Let h(b) = 2*b + 8. Suppose -t + 2*f - 2 = 3, -3*t - 45 = 4*f. Let d(j) = j + 4. Calculate t*d(z) + 6*h(z).
z + 4
Let h(c) = 9*c**2 - 3. Let t(o) = 22*o**2 - 8. Suppose -5*j = -4*g + 50 - 10, -4*j - 21 = -g. Calculate g*t(v) - 12*h(v).
2*v**2 - 4
Suppose 0 = 3*k + 6, -4*k - 14 = 3*u. Let f(g) = 5*g. Let d(j) be the first derivative of -2*j**2 - 1. Suppose y - 44 = -47. Calculate u*f(o) + y*d(o).
2*o
Let m(g) = -g**2 + 6*g - 2. Let d be m(5). Let t(c) = -2*c**2 + 5*c + 4. Let u(a) = -44*a**2 - a - 46*a**2 + 91*a**2 - 1. Give d*u(z) + t(z).
z**2 + 2*z + 1
Let m(h) = 9*h**3 - 2*h**2 + 4*h + 4. Let x(r) = -8*r**3 + 2*r**2 - 5*r - 5. Calculate 5*m(w) + 4*x(w).
13*w**3 - 2*w**2
Let r(x) = 6*x**2 - 3*x - 5. Let o(t) = 6 + 4 + 2*t - 7 - 3*t**2. Calculate -5*o(a) - 3*r(a).
-3*a**2 - a
Let m(o) = -3 + 5 + 1 - 5 - 2*o**2 + o. Let i(p) = p**2 + 1. Give -4*i(d) - m(d).
-2*d**2 - d - 2
Let d(n) = -n**2 - 11*n - 5. Let t be d(-11). Let u(v) = -6*v - 4. Let h(x) = -6*x. Let w be h(-1). Let l(j) = -7*j - 5. Determine t*l(z) + w*u(z).
-z + 1
Suppose -v + 2*v + 2 = 0. Let c(k) = -10*k - 12. Let x(i) = -i - 1. Give v*c(t) + 22*x(t).
-2*t + 2
Suppose -2*g = -4*v - 6, 2*g - v - 42 = -3*g. Let o(u) = 10 + g*u - 18 + 11. Let h(i) = 13*i + 4. What is -5*h(c) + 7*o(c)?
-2*c + 1
Let b(m) = -6*m**3 + 4*m**2 - m + 6. Let c(h) = -5*h**3 + 3*h**2 - h + 5. Let y be (-16)/6*(-18)/(-12). What is y*c(v) + 3*b(v)?
2*v**3 + v - 2
Let f(y) = -4*y**2 - y - 6. Let x(c) = c. Give -f(b) - x(b).
4*b**2 + 6
Let o(n) = -8*n**3 - 4*n**2 + 5*n - 2. Let c(a) = 4*a**3 + 2*a**2 - 2*a + 1. Give -5*c(k) - 2*o(k).
-4*k**3 - 2*k**2 - 1
Let o(w) = -8*w**3 + 9*w**2 + 5*w + 14. Let r(n) = 4*n**3 - 4*n**2 - 3*n - 7. Let l(y) = -4*o(y) - 9*r(y). Let b(z) = z**3 - z - 1. Give -14*b(c) - 2*l(c).
-6*c**3
Let t(q) = -7*q**3 - 5*q + 6. Let f(l) = -4*l**3 - 3*l + 3. Calculate 5*f(x) - 3*t(x).
x**3 - 3
Let r(j) = 3*j + 5. Let h(v) = 1. Give 4*h(g) - r(g).
-3*g - 1
Let p(m) = -5*m. Let n(v) = v. Let l(i) = -6*n(i) - p(i). Let f(t) = 3*t - 2. Give -f(g) - 4*l(g).
g + 2
Let k(a) = -8*a**2 + 7. Suppose -4*o + 4 = -3*o, 0 = w + 2*o - 5. Let l be 1*(3 + (-1 - w)). Let m(j) = 6 - l*j + 5*j - 7*j**2. Give 6*k(y) - 7*m(y).
y**2
Let t(j) = 5*j**2 - 6*j - 6. Let q(y) = -y**2 + y + 1. Let o(b) = -b + 9. Let m be o(-5). Suppose -17*f = -m*f + 3. Determine f*t(h) - 6*q(h).
h**2
Let t(r) = -r**2 + 4*r - 1. Let o(y) be the first derivative of y**3 - 9*y**2/2 + 2*y - 185. Let u = -7 + 4. Calculate u*o(h) - 7*t(h).
-2*h**2 - h + 1
Let d(w) = -23*w**2 + 4. Let i(x) = 47*x**2 - 9. Give -9*d(u) - 4*i(u).
19*u**2
Let i(s) = 2 + 9*s + 17*s - 28*s. Let c(f) = -2*f + 2. Calculate 2*c(t) - 3*i(t).
2*t - 2
Let f(m) = -m - 1. Let l(n) be the first derivative of n**4/4 - n**2 - 3*n + 11. Determine 3*f(w) - l(w).
-w**3 - w
Let p(u) = 6*u**2 + 2*u + 3. Let t(z) = z - 2. Let h be t(8). Let w(i) = -7*i**2 - 2*i - 4. Give h*p(m) + 5*w(m).
m**2 + 2*m - 2
Let i(h) = 9*h - 6*h**3 - 10*h**2 + 7*h - 6 + 13 - 3*h. Let c(d) = 4*d**3 + 7*d**2 - 9*d - 5. Calculate 7*c(p) + 5*i(p).
-2*p**3 - p