- 3. Let z(y) = -b(y) - 3*x(y). Calculate d(u) - 6*z(u).
u
Let k(b) be the second derivative of 5*b**3/3 + 5*b**2 + b. Let p(f) = -3*f - 3. Let s = -160 + 153. Calculate s*p(l) - 2*k(l).
l + 1
Let f(z) = -z**2 + z - 1. Let d(j) = -12*j**2 + 10*j - 11. What is -2*d(h) + 22*f(h)?
2*h**2 + 2*h
Let k(d) = d**3 + d**2 + 1. Let o(l) = 3*l**3 + 6*l**2 + 7. Determine 14*k(p) - 2*o(p).
8*p**3 + 2*p**2
Let g = -4 - -8. Suppose 2*a - 45 = -3*a. Let t(f) = -3*f**2 + 4*f - 4. Let b(w) = 7*w**2 - 9*w + 9. What is a*t(r) + g*b(r)?
r**2
Let i(h) = 3*h**2 + 5*h - 3. Let c(r) = r**2 - r - 1. Calculate -4*c(x) + i(x).
-x**2 + 9*x + 1
Let a(h) = 19*h**3 - 2*h**2 + 2. Let u(o) = 171*o**3 - 19*o**2 + 19. What is 19*a(d) - 2*u(d)?
19*d**3
Let w(k) = 1. Let l(n) = -3. Let h(t) = l(t) + 2*w(t). Let f(g) = -3*g - 3. Let b(v) = -2*v - 4. Let o(q) = -4*b(q) + 3*f(q). Calculate -5*h(y) - o(y).
y - 2
Let p(h) = h**3 + h**2 - h + 1. Let s(v) = 6*v**3 + 7*v**2 - 4*v + 7. Calculate -14*p(r) + 2*s(r).
-2*r**3 + 6*r
Let g(i) = -i**3 + 2*i**2 + 6*i + 3. Let u(y) = y**3 - 2*y**2 - 7*y - 4. Give -4*g(k) - 3*u(k).
k**3 - 2*k**2 - 3*k
Let x(l) = 2*l**3 + 2*l**2 + l + 2. Let n(o) = -14 - o + 5*o + 20 - o**2 + 6*o**3 + 8*o**2. Let g(b) = -2*b**2 - b + 3. Let m be g(2). What is m*x(p) + 2*n(p)?
-2*p**3 + p - 2
Let w(a) be the second derivative of a**4/4 - a**3/3 + a**2/2 + 17*a. Let q(u) = -4*u**2 + 2*u - 1. What is -4*q(h) - 5*w(h)?
h**2 + 2*h - 1
Let n(w) = -4*w**3 + w - 5. Let z(h) = 12*h**3 - 4*h + 14. Give -14*n(y) - 5*z(y).
-4*y**3 + 6*y
Let a(x) = -x**2 - 3*x + 1. Let d(k) = -1. Let n(o) = -o - 4. Let h(j) = -4*d(j) + n(j). Let u be 2/3 + 20/(-12). Suppose 2 = t + t. Determine t*a(l) + u*h(l).
-l**2 - 2*l + 1
Let t(d) = 4*d**2 - 4*d - 4. Let q(g) = g**2 + g + 1. Determine -8*q(o) - 2*t(o).
-16*o**2
Let c(x) = x**3 - x**2 - 3. Let f(y) be the first derivative of -y**3/3 + 52. Calculate -c(l) + 3*f(l).
-l**3 - 2*l**2 + 3
Let o(t) = 7*t**3 - 3*t**2 - t. Let d(r) be the third derivative of r**6/20 - r**5/30 - r**4/24 - r**2. Let j = 34 - 39. Determine j*d(a) + 4*o(a).
-2*a**3 - 2*a**2 + a
Let a(q) = -12*q**3 + 10*q + 11. Let g(x) be the third derivative of x**6/120 - x**4/24 - x**3/6 + 10*x**2. Determine -2*a(b) - 22*g(b).
2*b**3 + 2*b
Let j(g) = 6*g**3 + 4*g**2 + 4*g - 2. Let k(q) = q**2 + 3 + 2*q - 6*q**2 - 7*q - 5*q**3 - 2*q**3. What is 5*j(m) + 4*k(m)?
2*m**3 + 2
Suppose -2*f + f = 2. Let q(c) = c**2. Suppose -3*l - 15 = 0, -x - 2*x - 2*l + 5 = 0. Suppose 5*y = -0 - x. Let n(o) = -3*o**2. Determine f*q(j) + y*n(j).
j**2
Let u(d) = 15*d**3 - 9*d**2 + 9*d - 9. Let p(t) = -4*t**3 + 2*t**2 - 2*t + 2. What is 18*p(y) + 4*u(y)?
-12*y**3
Let i(p) = -9*p**3 - 2*p**2 + 2*p - 5. Let q(z) = 10*z**3 + 3*z**2 - 3*z + 6. Calculate -3*i(v) - 2*q(v).
7*v**3 + 3
Let r(j) = 8*j - 2. Let m(z) = z. What is 5*m(u) - r(u)?
-3*u + 2
Let l(a) be the second derivative of a**4/12 - 33*a. Let q(s) = -30*s**2. Determine 25*l(y) + q(y).
-5*y**2
Let d(v) = -v**3 - 5*v - 1. Let g(a) = 2*a**3 + 8*a - 1. Let s(k) = 6*k**3 + 25*k - 2. Let h(o) = -8*g(o) + 3*s(o). Determine -13*d(p) - 6*h(p).
p**3 - p + 1
Let d(g) = 15*g - 4. Let z = -73 + 64. Let v(a) = -7*a + 2. Give z*v(h) - 4*d(h).
3*h - 2
Let k = 1 + -2. Let g(x) = -x. Let y(t) = 8*t. Give k*y(u) - 4*g(u).
-4*u
Let g(o) = -39*o + 4. Let j(h) = -117*h + 11. Determine 8*g(f) - 3*j(f).
39*f - 1
Let r = -8 - -11. Let j(i) = -6*i - 14 - 6 - 17*i**2 + r. Let g be 0 + -12 + (1 - 0). Let o(y) = -6*y**2 - 2*y - 6. Give g*o(p) + 4*j(p).
-2*p**2 - 2*p - 2
Let v(f) = -49*f**2 - 3*f + 3. Let d(t) = 50*t**2 + 4*t - 4. Give 3*d(r) + 4*v(r).
-46*r**2
Let r(l) = 6*l + 5. Let j(d) = -7*d - 4. Give 2*j(c) + 3*r(c).
4*c + 7
Let a(f) = 901*f. Let m(c) = -30*c. What is 4*a(n) + 119*m(n)?
34*n
Let m(b) = 0*b + 3 - b + 1. Let f(c) = c - 5. What is -3*f(s) - 4*m(s)?
s - 1
Let y(w) = -3*w**3 + 3*w**2 + w - 2. Let h be y(1). Let l(n) = -4*n - 2. Let u(z) be the third derivative of z**4/24 - z**2. Give h*l(p) - 2*u(p).
2*p + 2
Let t(a) = a - 1. Suppose 0 = r + 3*p + 8, -4*r + 4*p - 33 = -1. Let x(h) = -10*h + 8. Determine r*t(d) - x(d).
2*d
Let x(c) = 2*c**2 + 5*c - 3. Let w = -7 - -4. Let d(a) = 3*a + 1. Let v(n) = 0 + n - 2 + 3. Let q(m) = -d(m) + 2*v(m). Calculate w*q(u) - x(u).
-2*u**2 - 2*u
Let n(h) = -5*h**2. Let v(k) = -6*k**2. Let i(j) = -5*n(j) + 4*v(j). Let t(p) = 2*p**3 - p**2 - 2*p. What is -3*i(z) - t(z)?
-2*z**3 - 2*z**2 + 2*z
Let l(y) = 3*y**2 - 2 + 2 + 3*y**3 + 4*y - y**2. Let x(c) = -4*c**3 - 3*c**2 - 5*c. Calculate 3*l(u) + 2*x(u).
u**3 + 2*u
Suppose -9 = s - 3*p + 15, -5*s + 5*p = 150. Let i(z) = -5*z. Let x(y) = y. Determine s*x(g) - 6*i(g).
-3*g
Let w(q) = -4*q**2 + 7*q**2 - 3*q**3 - 5*q**2 + 2*q - 2. Let k(d) = -16*d**3 - 11*d**2 + 11*d - 11. Determine -4*k(g) + 22*w(g).
-2*g**3
Let b(x) = 4*x - 28. Let r(f) = -f + 5. Let h(n) = -2*n + 9. Let l(a) = -4*h(a) + 9*r(a). Determine 2*b(m) + 7*l(m).
m + 7
Let z(w) = 42*w + 10. Let l(v) = -14*v - 3. Give -7*l(t) - 2*z(t).
14*t + 1
Let u(z) = 2*z**2. Let m be (1/6)/(20/8). Let a(j) be the third derivative of j**2 + 0*j + 0*j**3 + m*j**5 + 0 + 0*j**4. What is -2*a(w) + 5*u(w)?
2*w**2
Let n(w) = -9*w - 14. Let i(q) = 6*q + 9. Give 8*i(d) + 5*n(d).
3*d + 2
Let r(d) = -d**3 + 5*d - 5. Let h(u) = -u**3 + 2*u - 2. Let l(s) = s - 10. Let j be l(5). Determine j*h(n) + 2*r(n).
3*n**3
Let q(z) = z + 1. Let i(p) = p**3 - 5*p - 4. Let y = -127 + 128. Calculate y*i(g) + 5*q(g).
g**3 + 1
Let n(m) = -4*m**2 - m + 3*m**2 - 5 - 2*m**2. Let i(b) = 8 - 2*b + 4*b + 7*b**2 - 2*b**2. Determine 5*i(c) + 8*n(c).
c**2 + 2*c
Let q(i) = -9*i**2 - 13*i. Let l(a) = 8*a**2 + 13*a. Let j(x) = 5*l(x) + 4*q(x). Let h(n) = -6*n - 3 + 4 - 2*n**2 - 1. Give 13*h(g) + 6*j(g).
-2*g**2
Let b(w) = -5*w + 3. Let r(t) = -33*t + 11*t + 8*t + 5*t + 5. Let d = -6 - -9. What is d*r(x) - 5*b(x)?
-2*x
Let q(b) = -b. Suppose -43*o = -46*o + 3. Let h(d) = -2*d + 3. Let x be h(2). Let p(u) = u**2 - u. Give o*p(w) + x*q(w).
w**2
Suppose 12 + 13 = -5*n. Let y(h) = -h**3 + 5*h. Suppose 3*p = -2*l + 19, -3*p + 4*l + 7 = -0*l. Let m(g) = g + p*g - 5*g. Determine n*m(k) + y(k).
-k**3
Suppose 0 = 3*g + 3 - 36. Let i(c) = 2*c + 2. Let d(q) = -5*q - 6. Calculate g*i(a) + 4*d(a).
2*a - 2
Let l(u) = 22*u**3 - 8*u**2. Let j(p) = -7*p**3 + 3*p**2. Calculate -10*j(f) - 3*l(f).
4*f**3 - 6*f**2
Let n(b) = -b**3 + 6*b**2 - 2*b. Let q(t) = -t**3 + 11*t**2 - 3*t. What is 5*n(s) - 3*q(s)?
-2*s**3 - 3*s**2 - s
Let q(n) be the third derivative of -2*n**5/15 - n**4/24 - n**3/6 - 64*n**2. Let t(z) = 7*z**2 + z + 1. Calculate -5*q(h) - 6*t(h).
-2*h**2 - h - 1
Let z(y) = -2*y**2 + 4*y + 8. Let l(n) = n**2 - 3*n - 7. Determine 4*l(m) + 3*z(m).
-2*m**2 - 4
Let f(x) = -x**3 + 4*x**2 + 4*x + 3. Let c be f(5). Let p = 3 + c. Let g(j) = -2*j**3 - 2*j + 4*j + 4*j**3 + 2. Let l(y) = -y - 1. Determine p*g(z) + 2*l(z).
2*z**3
Let z(q) = 9*q. Let h(l) = -28*l. Give -3*h(c) - 8*z(c).
12*c
Let k(j) = -j**3 + 0*j + 0*j - 5 - j. Let c(r) = r**3 + r + 4. Let v = 5 + -1. Calculate v*k(x) + 5*c(x).
x**3 + x
Let c(w) = 5*w**3 - 6*w**2 - 7*w - 7. Let g(h) = 2*h + 2*h + 3*h**2 + 4 + 30*h**3 + 27*h**3 - 60*h**3. Determine -4*c(b) - 7*g(b).
b**3 + 3*b**2
Let m(z) = z**2 + z + 1. Let j = 5 + -7. Let y(n) = n**3 - 2*n**2 - n - 1. What is j*m(a) - 2*y(a)?
-2*a**3 + 2*a**2
Let r(p) = -3*p**2 - 3*p + 9. Let u(g) = 4*g**2 + 5*g - 14. What is -8*r(f) - 5*u(f)?
4*f**2 - f - 2
Let o(d) be the first derivative of -2*d**2 - d - 8. Let r(b) = 5*b + 2. What is 3*o(l) + 2*r(l)?
-2*l + 1
Let f(y) be the second derivative of 3*y**3/2 - 7*y**2/2 - 2*y. Let k(x) = -5*x + 4. Let b = -4 - -4. Suppose 3*n + 0*n + 12 = b. Calculate n*f(c) - 7*k(c).
-c
Let c(p) = 1. Let s(j) = -j + 3. Suppose -36 = 4*x - 136. Suppose 2*f + 3*f = -x. Give f*c(y) + 2*s(y).
-2*y + 1
Let d(s) = 11*s**2 - 5*s - 5. Let u(q) = -10*q**2 + 4*q + 4. Give 4*d(i) + 5*u(i).
-6*i**2
Let p(r) = r**2 + r - 1. Let d(a) = 5*a**2 - 4*a + 2. Give d(w) + 4*p(w).
9*w**2 - 2
Let r(s) = -3*s**3 + 7*s - 7. Suppose 0 = -3*d + 6*d - 42. Let j(a) = -a**3 + 2*a - 2. Give d*j(u) - 4*r(u).
-2*u**3
Let k = 46 + -38. Let n(f) be the first derivative of -f**3/3 + 2*f**2 - f - 1. Let o(d) = 2*d**2 - 2*d**2 + 3*d**2 - 11*d + 3. Give k*n(h) + 3*o(h).
h**2 - h + 1
Let r(w) = 103*w**2 - 4. Let