et c(n) = 6*n + 5. Determine k*c(m) + 5*h(m).
-m
Let x(y) = -9 - 7*y - 5 + 10 - 2. Let u(w) = 91*w + 77. Determine 6*u(d) + 77*x(d).
7*d
Let l(r) be the second derivative of r**3/3 - r**2/2 + 5*r. Let p(a) be the second derivative of -a**3/6 + a**2/2 - 4*a. Calculate -2*l(n) - 3*p(n).
-n - 1
Let k(z) = -6*z. Suppose 8*d = -4 + 20. Let f(j) = -18*j. Determine d*f(a) - 7*k(a).
6*a
Let p(x) = 6*x**3 + 16*x**2 + 6*x + 16. Let l(a) = 5 + 5*a**2 + a**3 + a**3 + 3*a - a. Suppose 4*n = -n + 80. Determine n*l(c) - 5*p(c).
2*c**3 + 2*c
Let q(p) = p + 9. Let u(k) = 2. Give 4*q(h) - 18*u(h).
4*h
Let v(t) = -t**3 - t + 1. Suppose -8 = -u + 2*r, -5*u + 5*r = -0*u - 25. Let q(w) = -4*w**3 + 2*w**2 - 4*w + 2. Give u*v(a) - q(a).
2*a**3 - 2*a**2 + 2*a
Let r = -37 - -45. Let g(k) = -6*k + 6. Let m(n) = -2*n + 2. Let c = 5 + 0. Suppose 5*x - 15 = 3*h - 1, h - 2*x = -c. Calculate h*g(f) + r*m(f).
2*f - 2
Let j(f) = -4 + 0 - 6 + 4 - 8*f. Let r(v) = -23*v - 17. Suppose -3*a + 0*a - 18 = 0. What is a*r(w) + 17*j(w)?
2*w
Let w(n) = -2*n**2 - 3*n. Let s(y) = -6*y**2 - 8*y. Give -3*s(h) + 8*w(h).
2*h**2
Suppose 2*w - 6 = -x - 0*x, -w = 2*x - 6. Let c(o) = -2 + w*o + 2*o - o + 2*o. Let m(n) = -11*n + 4. Calculate 7*c(f) + 3*m(f).
2*f - 2
Let s(b) = -6*b**2 - b + 3. Suppose 17 = 4*y + 1. Suppose -x + y*d = 31, 3 = x + 4*d - 6. Let a(f) = 17*f**2 + 3*f - 8. Give x*s(w) - 4*a(w).
-2*w**2 - w - 1
Let b(x) = -2*x - 3. Let r(c) = -6*c - 8. What is -16*b(j) + 5*r(j)?
2*j + 8
Let v(o) = o**2 + o - 1. Let q(i) = i**3 + i**2 + 2*i + 7. Give -q(b) + v(b).
-b**3 - b - 8
Let g be (34/6 + -1)*-3. Let r = g + 19. Let w(b) = -3 + b + 6 - 2. Let x(j) = 6*j + 7. Determine r*w(q) - x(q).
-q - 2
Let x(d) = 5*d**2 - 2*d. Let q(n) be the second derivative of n**5/60 - n**4/24 + 5*n**2 + 10*n. Let h(k) be the first derivative of q(k). Give 2*h(m) - x(m).
-3*m**2
Suppose -14*s + 11*s = -12. Let c(i) = 3*i - 5. Let y(b) = -8*b + 14. Determine s*y(n) + 11*c(n).
n + 1
Let s(c) = -2*c + 4. Let b be s(-7). Let r(g) = 2 + 1 - 4. Let f(p) = 3*p - 18. Calculate b*r(d) - f(d).
-3*d
Let w(c) = -5*c**2. Let t(a) = 82*a**2. Determine -5*t(z) - 80*w(z).
-10*z**2
Let z(j) = -j - 13. Let x be z(-9). Let l be 0 + 3/3 - x. Let o(s) = -7*s**2 - 2. Let b(q) = 10*q**2 + 3. Give l*b(r) + 7*o(r).
r**2 + 1
Let r(w) = 3*w**2 - 10*w + 5. Let i(t) = -3*t**2 + 9*t - 4. Let h(x) = -7*i(x) - 6*r(x). Let m(u) = 9*u**2 - 8*u - 5. What is -8*h(f) + 3*m(f)?
3*f**2 + 1
Let h(k) = -20*k**2 - 11. Let b = 3 + 8. Let z(m) = -7*m**2 - 4. Let j(a) = -a**3 + 14*a**2 - 24*a - 4. Let f be j(12). What is b*z(c) + f*h(c)?
3*c**2
Let h(g) = 5*g**3 + 5*g**2. Let n(f) = 9*f**3 - 4*f**2 + 6*f. Let z(v) = -v**3 + v**2 - v. Let c(j) = -n(j) - 6*z(j). Give -5*c(m) - 2*h(m).
5*m**3
Let w(f) = -2*f**2 + 5*f - 5. Let l(g) = g**2 + 8*g + 10. Let c be l(-7). Let j(z) = 3*z - 2 + 2 - z**2 - c. What is -5*j(b) + 3*w(b)?
-b**2
Let v(w) = -6*w**2. Let z = 3 + 0. Let c(y) be the first derivative of -2*y**3/3 + 1. What is z*v(b) - 8*c(b)?
-2*b**2
Let f(u) = u**2 - u + 1. Let y(s) be the third derivative of -s**5/12 + s**4/8 - s**3/2 + 62*s**2. Calculate -6*f(r) - 2*y(r).
4*r**2
Let p(b) = -3855*b. Let o(y) = -47*y. Determine 165*o(t) - 2*p(t).
-45*t
Let j(d) = -1. Let t(n) = -6*n + 2. Calculate 3*j(k) - t(k).
6*k - 5
Suppose -2*q - 6 = 4*u, 11 = -3*q - 2*u - 2*u. Let v(l) = -3*l + 2. Let m(s) = -s + 1. Calculate q*m(a) + 2*v(a).
-a - 1
Let o(l) = -l**3 + l**2 + l - 1. Let w be -3*(6/9 + 1). Let b = 4 + w. Let a(h) = 3*h**3 - 3*h**2 - 2*h + 4. What is b*a(g) - 4*o(g)?
g**3 - g**2 - 2*g
Let i(v) = 3*v - 5. Let b(n) = -3*n + 6. Let x be (-12)/((6 - 4)/(-1)). Give x*i(c) + 5*b(c).
3*c
Let h be 16/(-3) + (-3 - (-50)/15). Let o(a) = 7*a**3 + 5*a - 4. Let k(n) = -3*n**3 - 2*n + 2. Give h*k(v) - 2*o(v).
v**3 - 2
Let o(t) = -5. Let n(j) = -j. Let a(w) = -2*n(w) - o(w). Let z(y) = 3*y + 8. Calculate -8*a(v) + 5*z(v).
-v
Let m(r) = -r**2 - r - 1. Let k(s) = -16*s**2 - 8*s - 8. Determine k(p) - 8*m(p).
-8*p**2
Let a be (-24)/3*3/(-4). Let q(x) = 7*x - 6*x + a*x + 9. Let y(h) = -3*h - 4. Give 4*q(k) + 9*y(k).
k
Let j(o) = -13*o**3 - 5*o**2 + 3*o + 6. Let v(h) = -6*h**3 - 2*h**2 + 2*h + 3. Give -2*j(w) + 5*v(w).
-4*w**3 + 4*w + 3
Let v(n) = -2*n**3 + n**2 - 5. Let f = 10 - 10. Suppose 4*o = g - 1, -2*g + f*g - 2 = -4*o. Let j(c) = -10*c**3 + 4*c**2 - 24. Determine g*j(p) + 14*v(p).
2*p**3 + 2*p**2 + 2
Let l(j) = -5*j**2 + 9*j - 7. Let u(i) be the third derivative of -i**5/30 + i**4/6 - i**3/2 + i**2. Let k(c) = c - 1. Let f be k(5). Determine f*l(p) - 9*u(p).
-2*p**2 - 1
Let f = 23 - 20. Let l(g) = 2*g**3 - g**2 + 2. Suppose 3*n + 0*x - 4*x - 9 = 0, 0 = -3*n - 4*x + 9. Let v(t) = -3 + 1 + 4*t**n - 5*t**3. Give f*v(a) + 2*l(a).
a**3 - 2*a**2 - 2
Let z = 2 - 0. Let g(p) = -10*p**2 - 11. Let u(i) = 2*i**2 + 2. Give z*g(f) + 11*u(f).
2*f**2
Let k(z) = -4*z**2 - z - 2. Let h(q) = 17*q**2 + 4*q + 9. Calculate 6*h(r) + 26*k(r).
-2*r**2 - 2*r + 2
Let a(m) = 56*m**3. Let c(x) = 19*x**3. Calculate 2*a(y) - 7*c(y).
-21*y**3
Let j(f) = -57*f**2 + 6*f - 6. Let z(g) = -g + 1. Determine -j(i) - 6*z(i).
57*i**2
Let z(w) = 8*w**3 - 6*w + 6. Let j(c) = 16*c**3 - 11*c + 11. Determine 6*j(n) - 11*z(n).
8*n**3
Let y(j) = 11*j**2 - 7*j - 5. Let i(g) = -5*g**2 + 3*g + 2. Calculate 9*i(m) + 4*y(m).
-m**2 - m - 2
Let q(w) = -6*w - 5. Let d(l) = 5*l + 4. Let k(r) = -r**2 - 3*r + 4. Let v be k(-3). Suppose 3*u + 5*p = -v - 13, -13 = 2*u + 5*p. What is u*d(x) - 3*q(x)?
-2*x - 1
Let l(m) = m**3 + 6*m**2 + 5*m + 6. Let z(u) = -3 - u - u**2 + 3 - 1. What is 2*l(w) + 10*z(w)?
2*w**3 + 2*w**2 + 2
Let b(i) = 0*i - 5*i + 2*i + 3 - i**3. Let f(w) = 2*w**3 + 5*w - 5. Suppose 5*r - 5 = -5*z - 0, 0 = 5*z - 3*r - 21. Let p = -52 - -57. Give p*b(x) + z*f(x).
x**3
Let y(z) = 5*z + 11. Let k(f) = -f - 1. Let i(t) = 2*k(t) + y(t). Let d(v) = 4*v + 13. Give 5*d(r) - 7*i(r).
-r + 2
Let v(x) = 7*x**2 - 2*x + 7. Let z be (-2)/8 - 23/4. Let r(n) = -68*n - 75*n + 1 + 143*n + n**2. What is z*r(p) + v(p)?
p**2 - 2*p + 1
Let w(l) = -7*l - 4. Suppose -5*n - 45 = -5*h, -4*h = -n - 29 + 2. Let r(j) = 2 - 6 - 2*j + 3. Determine h*w(a) - 22*r(a).
2*a - 2
Let c(x) = -2*x. Let s(y) = 30*y. Give 28*c(d) + 2*s(d).
4*d
Let f(n) = 5*n**2 + n. Let v be f(-1). Let t(i) = 3 - 4*i - v - 1. Let y = -18 - -16. Let u(s) = 3*s + 1. What is y*t(q) - 3*u(q)?
-q + 1
Let p(o) = -o**3 + 3*o**2 + 3*o. Let m(x) = 2*x**3 - 8*x**2 - 8*x. Let f(t) = -3*t + 3. Let a be f(0). What is a*m(d) + 8*p(d)?
-2*d**3
Let t(c) = c**2 - 2*c + 4. Let d be t(2). Let v(n) = -n - 1. Let j(w) = -1 + w**2 + 3 + 0 + 2*w - 2*w**2. Calculate d*v(f) + j(f).
-f**2 - 2*f - 2
Let a(s) = 6*s**2 - 2*s + 3. Let i(f) = -4*f - 17. Let o be i(-5). Let p(c) = 11*c**2 - 4*c + 5. Calculate o*p(b) - 5*a(b).
3*b**2 - 2*b
Let b(v) = -5*v**2 - 4*v - 13. Let j(k) = k**2 + k + 3. Calculate -2*b(y) - 9*j(y).
y**2 - y - 1
Let i be 5 - (-6 + 5 + 5). Let p(a) = -a**3 - 2*a**2 - 2*a + 2. Let l = 2 - 0. Let c(n) = -5*n + 4*n + n**3 + n**2 + 2*n - 1. Determine i*p(v) + l*c(v).
v**3
Let o(j) = -j + 1. Let u(c) = 2*c - 3. Calculate 11*o(f) + 4*u(f).
-3*f - 1
Let m(b) = -175*b**2 - 49*b - 49. Let w(u) = 22*u**2 + 6*u + 6. Determine 6*m(o) + 49*w(o).
28*o**2
Let r(a) = -8*a**3 - 3*a. Let p(l) = 7*l**3 + 2*l. Determine -7*p(q) - 6*r(q).
-q**3 + 4*q
Let g(v) = -v**3 - v**2 + 1. Let s(w) = -15*w**3 - 12*w**2 + 12. Calculate 12*g(t) - s(t).
3*t**3
Let g(l) = -1. Let m(x) = 3*x + 7. Calculate -6*g(d) - m(d).
-3*d - 1
Let j(d) = -d**2 + 10*d + 4. Let q be j(10). Let t(x) = 2*x**2 - 3*x + 2. Let m(o) = o - 1. Determine q*m(b) + t(b).
2*b**2 + b - 2
Let n(d) = d. Let a be (2/(-6))/(2/(-12)). Let z(u) = -2. Calculate a*n(v) - z(v).
2*v + 2
Let f(g) = -g**3 + g**2 + g - 1. Let t(s) = 5*s**3 - 4*s**2 - 4*s + 3. Determine 4*f(a) + t(a).
a**3 - 1
Let p(j) = -3*j - 3. Let w(n) = -4*n - 4. Let b be 2*(2 - 1/2). Suppose u - 12 = -b*u. Let l be 13/3 - u/9. Calculate l*w(f) - 5*p(f).
-f - 1
Suppose 6*m - 20 = 2*m. Let t(l) = 2*l**2 + 4. Let z(o) = 3*o**2 + 5. Calculate m*t(y) - 4*z(y).
-2*y**2
Let n(d) = -20*d + 10. Let x(i) = 4*i - 2. Let b(m) = 3*n(m) + 14*x(m). Let s(u) = 7*u - 4. Determine -5*b(w) - 3*s(w).
-w + 2
Let v be -3*(0 - 4/(-12)). Let x(z) = z + 1. Let y = 5 - 3. Suppose 0 = -y*l - l - 3. Let d(m) =