16)/10. Let t(a) = 5*a**3 - 4*a - 4. Determine n*t(k) - 4*h(k).
k**3
Suppose 20 = -3*z + 2. Let v(l) be the first derivative of 5*l**3/3 - 6*l**2 + 4*l + 169. Let d(f) = -f**2 + f - 1. Calculate z*d(c) - v(c).
c**2 + 6*c + 2
Let w(k) = 1020*k**2 - 104*k. Let t(x) = 60*x**2 - 6*x. What is -104*t(z) + 6*w(z)?
-120*z**2
Let r(y) = 9*y**2 + 5*y - 1. Let q(b) = 19*b**2 + 11*b - 4. What is -2*q(u) + 5*r(u)?
7*u**2 + 3*u + 3
Let m(u) = 64*u + 48. Let s(y) = -21*y - 17. Calculate -6*m(x) - 17*s(x).
-27*x + 1
Let f(v) = -14*v - 5. Let p(q) = -7*q - 2. Let k(c) = 4*f(c) - 7*p(c). Let x(j) be the third derivative of j**4/4 + 5*j**3/6 - 10*j**2. Give -4*k(b) - 5*x(b).
-2*b - 1
Let w(f) = 3*f**2 - 119 + 8*f**2 + 2*f - f - 118 + 234. Let x(q) = q - 1. What is w(c) - 3*x(c)?
11*c**2 - 2*c
Let j(x) = 82*x - 82. Let s(z) = 2*z - 1. What is -3*j(m) + 246*s(m)?
246*m
Let m(r) = 10*r + 24. Let b(i) = -2*i - 5. Suppose 10*x + 8*x = 54. What is x*m(y) + 14*b(y)?
2*y + 2
Let i(f) = f - 2. Let g(s) = -2*s + 2. Let m(a) = -a**3 + 3*a + 4. Let l be m(-2). Suppose -4*p = 5*j + 27, -p - j + 4*j = -l. Determine p*i(x) - 2*g(x).
x + 2
Let q(x) = 7*x**3 - x**2 - 2. Suppose 42 = 3*y + 4*y. Suppose -26 = -2*p + 24. Let r(m) = -4*m**3 + 2 + p*m**2 - 24*m**2 - 4*m**3. Calculate y*r(c) + 7*q(c).
c**3 - c**2 - 2
Suppose -8 = -2*q - 2*q. Let r be q/4 + 3/(-2). Let w(s) = -s**3 - s**2 - s. Let f(k) = -3*k**3 - 6*k**2 - 4*k + 2. What is r*f(i) + 4*w(i)?
-i**3 + 2*i**2 - 2
Let q(h) = -h**3 - h**2 - 2*h - 10. Let j(r) = -r**3 - r**2 - 2*r - 10. What is 6*j(c) - 5*q(c)?
-c**3 - c**2 - 2*c - 10
Let t(o) = o**2 - 14*o - 5. Let i(m) = -m**2 + 9*m + 3. Let n(p) = p**3 - 10*p**2 + 12*p - 19. Let s be n(9). Determine s*i(c) + 5*t(c).
-3*c**2 + 2*c - 1
Let u(r) = 18*r**2 - 5*r + 5. Let v(t) = -52*t**2 + 54*t - 19. Let s(n) = -25*n**2 + 24*n - 9. Let c(o) = 7*s(o) - 3*v(o). Determine -5*c(y) - 6*u(y).
-13*y**2
Let w(x) = 4*x**2 - 5*x - 7. Let p(r) = 11 - 6*r**2 + 2*r + 8*r - 2*r. Suppose 6*h = 11*h - 25. Let l(g) = 8*g**2 - g + 1. Let j be l(1). Give h*p(d) + j*w(d).
2*d**2 - 1
Let j(d) = 4 + 8 + d - 4 - 5*d. Let y(p) = -p**2 - 23*p - 20. Let a be y(-22). Let v(o) = o - 2. What is a*j(f) + 9*v(f)?
f - 2
Let j(y) = -10*y**2 + 2*y + 9. Let d(s) = -9*s**2 + 2*s + 8. Calculate -6*d(t) + 5*j(t).
4*t**2 - 2*t - 3
Let j(o) = -2*o + 3. Let d(h) = 7*h - 17. Give 4*d(q) + 12*j(q).
4*q - 32
Let r(y) = 4403*y + 74. Let z(m) = -587*m - 10. What is -5*r(n) - 37*z(n)?
-296*n
Let v(s) = s**3 + s - 1. Suppose -7 = -4*g - 4*h + 1, -4*h = 3*g - 9. Let i(m) = 8*m**3 - m + 1. Determine g*i(j) - v(j).
-9*j**3
Let b(o) = 10*o**3 - 4*o**2 - 10*o + 7. Suppose 1 = -2*k + 3. Let f be k + -2 - (9 - 3). Let u(w) = 3*w**3 - w**2 - 3*w + 2. Determine f*u(s) + 2*b(s).
-s**3 - s**2 + s
Suppose 0 = -s - 229 + 228. Let y(p) = 1. Let g(a) = -4*a + 5. Give s*g(l) + 6*y(l).
4*l + 1
Let c(r) = 13*r + 4. Let h(k) = -2*k + 3. Let x(g) = 15*g - 17. Let q(d) = -6*h(d) - x(d). Let w = 2 - -16. Calculate w*q(m) + 4*c(m).
-2*m - 2
Suppose 3*f - 2*j + 10 = 0, -7*f = -4*f + 4*j - 2. Let n(k) = -k**2 - 2*k + 2. Let v(d) = d**2 - d + 1. Give f*v(t) + n(t).
-3*t**2
Let k(q) = 2*q**3 - 1. Let b(p) be the first derivative of p**4/4 - p**3/3 + 1. Suppose 48*y = -28 + 124. What is y*k(z) - 2*b(z)?
2*z**3 + 2*z**2 - 2
Let z(h) = -14*h + 68. Let f(b) = -2*b. What is 6*f(k) - z(k)?
2*k - 68
Let k(y) = 7*y**2 - 9*y + 1. Suppose 0 = -48*r + 62*r - 42. Let p(l) = -4*l**2 + 5*l. Determine r*k(x) + 5*p(x).
x**2 - 2*x + 3
Let g(s) = 46*s**3 - 5*s**2. Suppose 4*j - 6 = 2*d, -d - 3*d + 2*j - 18 = 0. Let z(k) = 23*k**3 - 3*k**2. Give d*z(i) + 3*g(i).
23*i**3
Let c(v) = -11*v + 5. Let t(b) = -12*b + 4. Give -3*c(u) + 4*t(u).
-15*u + 1
Let w(p) = -14*p**3 - 14*p**2 - 14*p. Let t(f) = 10*f**3 - 5*f**2 - 20*f. Let a(b) = -b**3 + b. Let s(k) = -15*a(k) - t(k). Determine 17*s(v) + 6*w(v).
v**3 + v**2 + v
Let v(d) = -3 + 3 - 2*d + 2*d**2. Suppose 189 = -47*t + 20*t. Let n(m) = -5*m**2 + 5*m. Give t*v(p) - 3*n(p).
p**2 - p
Let q(x) = 7*x + 10. Let u(r) = -r - 1. Let m(w) = -q(w) - 6*u(w). Let z(p) = -44 + 21 + 24. Give -m(g) - 4*z(g).
g
Let k(r) = -7 - 6*r + 11*r - 2*r + 2*r. Let y(d) = -2*d - 2*d + 3 + d + d. Give 3*k(a) + 7*y(a).
a
Let k(w) = 9*w. Let p = 3 + 7. Let r(n) = -n + 4. Let d be r(p). Let c(l) = l - 3*l + 3*l. What is d*c(z) + k(z)?
3*z
Let q(v) = 69*v**2 + 17*v - 7. Let f(o) = 139*o**2 + 37*o - 15. Give 6*f(y) - 13*q(y).
-63*y**2 + y + 1
Let s(n) = 3*n + 2. Let i(u) = 8*u + 6. Calculate -5*i(p) + 12*s(p).
-4*p - 6
Let h(i) = -4*i - 13. Let t(m) = -4*m**2 + 6*m + 2. Suppose 4*x - 3*d = -4*d + 7, 3*x = 5*d + 11. Let s be t(x). Let z(r) = r + 4. Calculate s*h(c) - 7*z(c).
c - 2
Let v(n) = 11*n + 9. Let d(r) = 5*r + 4. Let c(g) = -g - 5. Let l be c(-8). Suppose -q + l = 2, -y + q = 10. Calculate y*d(t) + 4*v(t).
-t
Suppose -3*o - 79 = -5*n - o, 0 = -5*o - 10. Let v = -26 + n. Let i(m) = -21*m + 4. Let l be -2*(2 + -2 + -1). Let r(q) = -4*q + 1. Determine l*i(y) + v*r(y).
2*y - 3
Let w(d) = -7*d**3 - 6*d**2 + 6*d - 1. Let x(g) = 13*g**3 + 11*g**2 - 11*g + 2. Let j(u) = 11*w(u) + 6*x(u). Let k(t) = 3*t**3 + 4. Calculate 4*j(o) - k(o).
o**3
Let v(r) = r**2 + r - 1. Suppose -3*f = g, -f + 8*g - 13*g = 14. Let m(d) = 2*d**2 - 2*d + 3. What is f*v(j) + m(j)?
3*j**2 - j + 2
Let z(m) = -4*m**3 - 6*m**2 + 9*m + 2. Let b(l) = 2*l**3 + 5*l**2 - 7*l - 2. What is 6*b(x) + 5*z(x)?
-8*x**3 + 3*x - 2
Let b(y) = 2*y. Let c(u) = -1. Suppose -11 = 10*q - 61. Determine q*c(m) - b(m).
-2*m - 5
Let v(j) be the third derivative of -j**4/12 + j**3 - 3*j**2. Let z(s) = -2*s + 14. Let x(y) = -2*y + 11. Let h(m) = -3*x(m) + 2*z(m). Give 7*h(w) + 6*v(w).
2*w + 1
Let g(a) = 69*a + 21. Let u(m) = -14*m - 4. Let b = -956 + 958. Give b*g(x) + 11*u(x).
-16*x - 2
Let u(x) = -x**2 - x - 1. Let w(v) = -2*v**3 + 6*v**2 - 27*v + 5. Calculate -6*u(r) - w(r).
2*r**3 + 33*r + 1
Let u(n) = -7*n**2 - 5*n - 2. Let l(f) be the third derivative of -f**5/60 - f**4/24 - f**3/6 + 9*f**2 - 4*f. Give -4*l(j) + u(j).
-3*j**2 - j + 2
Let v(b) = 12*b**2 - 7*b + 10. Let p(d) = 4*d**2 - 2*d + 3. What is 7*p(r) - 2*v(r)?
4*r**2 + 1
Let s(k) = -5 + 2 + 4. Suppose 0 = -0*u + 3*u - f - 26, 0 = -4*u + 4*f + 48. Let c(r) = -9*r - u*r + 28*r + 2 - 10*r. Give c(o) - 4*s(o).
2*o - 2
Let k(l) = -6*l**2 - 910*l + 7. Let f(q) = 26*q**2 + 3641*q - 31. Determine 2*f(g) + 9*k(g).
-2*g**2 - 908*g + 1
Let p(s) = s**3 - 5*s**2 + 10*s + 7. Let y(m) = m**2 - m - 1. Suppose 2*t - v - 8 = -3*v, -5*v + 12 = -3*t. Give t*p(o) + 5*y(o).
o**3 + 5*o + 2
Let m(o) = -32*o + 9. Let i(d) = -11*d + 3. What is 17*i(f) - 6*m(f)?
5*f - 3
Let d(m) = 8*m**3 - 459*m**2 + 9*m - 7. Let g(f) = -5*f**3 + 228*f**2 - 5*f + 4. What is -3*d(x) - 5*g(x)?
x**3 + 237*x**2 - 2*x + 1
Let t(v) = 3*v**2 + 13*v - 13. Let m(r) = -4*r**2 - 20*r + 20. Give -5*m(c) - 8*t(c).
-4*c**2 - 4*c + 4
Let r = 55 - 46. Let j(l) = r*l**2 + 17*l**2 - 5 + 7*l - 30*l**2. Suppose -13 - 12 = -5*i. Let q(d) = -3*d**2 + 6*d - 4. What is i*q(m) - 4*j(m)?
m**2 + 2*m
Let p(c) = -2*c + 28. Let i(t) = 3*t - 57. Give 5*i(n) + 9*p(n).
-3*n - 33
Let h(w) = 9*w**3 + 5*w + 3. Let g(x) = 4*x**3 - 4*x**2 + 6*x - 3. Let v(u) = -u**2 + u - 1. Let y(t) = -g(t) + 4*v(t). Determine -2*h(k) - 5*y(k).
2*k**3 - 1
Let g(l) = 4 - 51617*l - l**3 + 1 + 51617*l - 5*l**2. Let d(u) = -2*u**3 - 8*u**2 + 8. Let v(n) = -4*n**3 - 2*n**2 + n. Let f be v(1). What is f*d(w) + 8*g(w)?
2*w**3
Let z(q) = -3. Let c(s) = -4. Let k(a) = 5*c(a) - 7*z(a). Let l(b) be the first derivative of 5*b**3/3 - 4*b + 127. Determine -4*k(t) - l(t).
-5*t**2
Let d(y) = -4*y**2. Let x(p) = 4*p**3 + 7 - 6 - 3*p**3 - 17*p**2. Suppose 31*f + 40 = -239. Calculate f*d(g) + 2*x(g).
2*g**3 + 2*g**2 + 2
Let d(t) = 379*t**3 - 5*t. Let r(c) = 29564*c**3 - 389*c. Give -389*d(p) + 5*r(p).
389*p**3
Let q(z) = -2*z - 1. Let n(k) = 178*k**2 + 12*k + 6. What is n(x) + 6*q(x)?
178*x**2
Let q(f) = 14*f**2 - 28*f - 3. Let v be q(2). Let g(p) be the second derivative of 11*p**3/6 - 9*p**2/2 - 3*p. Let b(y) = -6*y + 5. What is v*g(w) - 5*b(w)?
-3*w + 2
Let p(r) = 23*r - 416. Let x(w) = -4*w + 68. Give 2*p(n) + 13*x(n).
-6*n + 52
Let r(b) = -4*b**3 - 2*b**2 + 2*b - 4. Let g be (-255)/(-10)*4/(-6)*-1. Let n(q) = -8*q**3 - 10*q**3 + q + g*q**3 - 1. Determine -