x - 6. What is k*d(n) + 6*g(n)?
2*n**3 - n
Let k(r) = 8*r - 6. Let b(j) = 7*j - 5. Determine 7*b(m) - 6*k(m).
m + 1
Let m(b) = -b**2 + 1. Let a(h) = -h**2 - h + 1. Let d(t) = -t**2 - 2*t. Let y(n) = 3*a(n) - d(n). What is 6*m(p) - 2*y(p)?
-2*p**2 + 2*p
Let c(s) = -s + 33. Let h(d) = 16. Determine 2*c(g) - 5*h(g).
-2*g - 14
Let z(w) = 12*w**2 + 0*w**2 - 2*w - 7*w**2 + 2 + w. Let t(c) = -4*c**2 + c - 1. Determine 6*t(n) + 5*z(n).
n**2 + n + 4
Let v(a) = 7*a + 6 + 2*a**2 - 5 - 1. Let d(s) = s. Let k be ((-16)/8)/((-2)/(-6)). What is k*d(n) + v(n)?
2*n**2 + n
Let b(h) = -9*h + 15. Let j(a) = 4*a - 7. Calculate 6*b(v) + 13*j(v).
-2*v - 1
Let g(u) = 2*u - 5. Let k(a) = 11 - 4*a + 5*a - 3*a - 2*a. Determine -13*g(t) - 6*k(t).
-2*t - 1
Let h(w) = -8. Let v(p) = -p**2 - 1. Calculate 3*h(b) - 24*v(b).
24*b**2
Let d(g) = 1. Let a(q) = -10*q + 30. Give -a(k) + 30*d(k).
10*k
Suppose 5*l - 31 = -3*r, -r - 29 = -3*r - 5*l. Suppose 0*t - t + 3 = 0. Let y(m) = -m - r - 3 + t - m. Let q(b) = -3*b - 3. What is 4*q(v) - 5*y(v)?
-2*v - 2
Let w(b) = b**2 + b. Let p(s) = -6*s**3 - 5*s**2 - 5*s - 2. Calculate p(j) + 5*w(j).
-6*j**3 - 2
Let k(p) = -2*p**2 + p + 5. Let m(r) = 2*r**2 - r - 6. Let n be 2*110/(-32) - 84/672. Calculate n*k(a) - 6*m(a).
2*a**2 - a + 1
Let l(s) = -s**3 + s**2 - s. Let k(h) = -8*h**3 + 5*h**2 - 5*h. Calculate k(a) - 5*l(a).
-3*a**3
Let r(h) = 11*h**3 + 9*h**2 - 11*h + 13. Let b(l) = -5*l**3 - 4*l**2 + 5*l - 6. Let k(n) = 13*b(n) + 6*r(n). Let j(s) = -3*s**2 + 2*s. Give -2*j(a) - 3*k(a).
-3*a**3 - a
Let l(c) = -c + 1. Let g(b) = b**2 + 11*b - 12. What is -2*g(d) - 22*l(d)?
-2*d**2 + 2
Let c(i) = -i. Let u be 4*(0 + -1) + -1. Let y(k) = 0*k - 2 + 0*k - k**2 - 5*k. Let j be ((-4)/(-6))/((-3)/((-9)/2)). Give j*y(o) + u*c(o).
-o**2 - 2
Let b(u) = -5*u + 2. Let l(w) = w. Determine -b(x) - 2*l(x).
3*x - 2
Let j(z) = 13*z**3 - 5*z**2 - 13*z. Let o(p) = -6*p**3 + 2*p**2 + 6*p. Determine 2*j(s) + 5*o(s).
-4*s**3 + 4*s
Let a(s) = -7*s**3 + 6*s**2 - 2*s + 5. Let n(b) = b**3 + b**2 - b. Let k(l) = -20*l**3 + 8*l**2 + l + 11. Let w(x) = k(x) + 5*n(x). Give -13*a(h) + 6*w(h).
h**3 + 2*h + 1
Let g(s) = 2*s**2 - 3. Let h(v) = -1. Suppose a - 41 = -39. Calculate a*g(i) - 6*h(i).
4*i**2
Let n(u) = u**3 + 2*u**2 + 3*u. Let m(l) = -5*l**3 - 9*l**2 - 13*l + 1. Let c(k) = -4*k + 1. Let t be c(-2). Calculate t*n(w) + 2*m(w).
-w**3 + w + 2
Let c(l) = l + 1. Let w(m) = 31*m + 2. What is 2*c(f) - w(f)?
-29*f
Let y(c) = -26*c**2 - 10*c + 5. Let j(s) = -39*s**2 - 16*s + 7. Let g(b) = -5*j(b) + 8*y(b). Let u(o) = 3*o**2 - 1. Determine 4*g(v) + 18*u(v).
2*v**2 + 2
Let g(f) = f**2 - 2. Let p be 40/16 + (-2)/4. Let d(y) = 5*y**p - 13 + 0*y**2 - 2*y**2 + 3*y**2. Give 6*d(j) - 39*g(j).
-3*j**2
Let a(i) = -5*i**3 - 7*i**2 - 1. Let b(w) = 4*w**3 + 6*w**2. Determine -3*a(d) - 4*b(d).
-d**3 - 3*d**2 + 3
Let h be -6*(0 - 5)/(-10). Let l(b) = -b**3 - 2*b**2 - 2. Let o(y) = 3 + y**3 - 1 + 3*y**2 + 1. Give h*l(i) - 2*o(i).
i**3
Let a(z) = -z**2 - 7*z + 3. Let f be 2 + -12 - (-1 - 1). Let v be a(f). Let y(t) = 6*t + 5. Let q(p) = -7*p - 6. What is v*y(c) - 4*q(c)?
-2*c - 1
Let b(x) = 5*x**2 + 3. Suppose 8*g = -30 + 6. Let a(l) = 24*l**2 + 14. What is g*a(o) + 14*b(o)?
-2*o**2
Let u(k) = 6 + 7*k**2 + 6*k - 3*k + 2*k. Let q(h) = 5 + 2*h + h + 3*h - 2*h + 6*h**2. Suppose -22 + 6 = 4*b. Determine b*u(f) + 5*q(f).
2*f**2 + 1
Let h be (-4)/5*20/(-8). Let l(o) = o. Let m(a) = 5*a. Let r(k) = h*m(k) - 9*l(k). Let s(p) = 5*p + 2. Calculate 4*r(n) - s(n).
-n - 2
Let x(q) = 3*q**2 + 6*q - 4. Let r(w) = w**3 + 21*w**2 + 22*w + 43. Let p be r(-20). Let f(o) = o**2 + 3*o - 2. What is p*x(c) - 7*f(c)?
2*c**2 - 3*c + 2
Let j(h) = h**3 - 1. Let n(t) = 7*t**3 - t - 6. Determine -6*j(p) + n(p).
p**3 - p
Let m(c) = -7*c. Let v(y) = -y. What is m(x) - 6*v(x)?
-x
Let m(h) = -h**2 + 4*h + 1. Let o(f) = 4*f**2 - 17*f - 5. Give 26*m(x) + 6*o(x).
-2*x**2 + 2*x - 4
Let q(a) = -a**2 + 3. Let r(d) = -d**3 - 9*d**2 + 10*d + 3. Let p be r(-10). Let n(w) be the second derivative of w**2 - 3*w. Give p*n(k) - 2*q(k).
2*k**2
Let v(a) = -3*a + 9. Let n = -9 + 19. Let l be ((-12)/(-10))/(4/n). Suppose -2*k = l*k + 25. Let b(i) = -4*i + 13. Give k*b(t) + 7*v(t).
-t - 2
Let y(d) = -14*d. Let u = 0 + 6. Let a(i) = 5*i. Let m = -119 + 136. Determine m*a(l) + u*y(l).
l
Let v(j) = -j**3 + j**2 - 3*j - 4. Suppose 3*y - 5*g = 14, 3*g + 3 + 0 = 0. Let l(a) = -a**3 + a**2 - 2*a - 3. Calculate y*v(b) - 4*l(b).
b**3 - b**2 - b
Let f(p) = p**3 + p**2. Let v(g) = g + 8. Let i be v(-3). Let l(d) = -7*d**3 - 5*d**2 - 4. Give i*f(x) + l(x).
-2*x**3 - 4
Let m(s) = -3*s**2 - s. Let x(f) = f**2 + f. Give -m(w) + x(w).
4*w**2 + 2*w
Let o(l) = 6*l - 1. Let g(u) = 6*u. Determine 3*g(q) - 2*o(q).
6*q + 2
Let h(u) = 2*u + 3. Suppose 4*k + 10 = 3*k. Let i = 16 + k. Let c(y) be the first derivative of -5*y**2/2 - 7*y + 2. What is i*c(r) + 14*h(r)?
-2*r
Let o(w) = 7*w. Let p = 10 - 14. Suppose -c - 4 = -2*c. Let r(n) = -3*n + 3*n - c*n + 7*n. What is p*o(q) + 9*r(q)?
-q
Let d(v) = -7*v - 2. Let c(z) = 2. Let w(x) = -x - 2. Let m(k) = 5*c(k) + 4*w(k). Let q(h) = -4*h + 1. Let y(p) = -2*m(p) + 3*q(p). What is -6*d(l) + 11*y(l)?
-2*l + 1
Let c(h) = h. Let s(b) = -10*b - 1. Let n(z) = 2 - 17*z - 4 - 2*z. Suppose 6 = i - 1. Let k(v) = i*s(v) - 4*n(v). What is 11*c(y) - 2*k(y)?
-y - 2
Let g(i) = -i + 5 + i + 3*i. Let r(p) = -6*p + 3. Let f(t) = -2*t. Let x(n) = 4*f(n) - r(n). Determine -6*g(v) - 10*x(v).
2*v
Let p = -59 + 52. Let r(w) = -w**2 - w + 1. Let o(c) = 1. Let u(y) = -3*y**2 - 2*y - 2. Let t(n) = 4*o(n) + u(n). Determine p*r(j) + 3*t(j).
-2*j**2 + j - 1
Let i(j) = -3*j - 2. Let h(f) = 1. Suppose 6 = -4*y + 2. What is y*i(a) - 2*h(a)?
3*a
Let u(b) be the third derivative of -b**5/60 - b**4/12 - b**3/3 + 2*b**2. Let c(w) = w**2 + 2*w + 2. Let v = 7 - 4. Calculate v*c(d) + 2*u(d).
d**2 + 2*d + 2
Let i(n) be the third derivative of n**5/12 + 7*n**4/24 + 11*n**3/6 + 6*n**2. Let z(c) = -3*c**2 - 4*c - 6. Give -6*i(r) - 11*z(r).
3*r**2 + 2*r
Let f(o) = 3*o**3 - 8. Let p(n) = -2*n**3 + 7. Determine 4*f(w) + 5*p(w).
2*w**3 + 3
Let p(c) = 5*c + 32. Let x(s) = 7*s + 33. Give 3*p(f) - 2*x(f).
f + 30
Let x(a) = 3*a**2 + a + 1. Let h(g) = -g. What is -2*h(m) - x(m)?
-3*m**2 + m - 1
Let h(j) = 8*j**2 + 6*j - 7. Let z(y) = -y**2 - y + 1. Suppose -13*x = -9*x - 8. What is x*h(d) + 14*z(d)?
2*d**2 - 2*d
Let v(i) = -i. Let j(g) = -g**2 - 7*g - 7. Let q be j(-5). Let y(l) = -l**q - 11*l - l**2 + 0*l**3 + 18*l. Suppose -n + 12 = n. Calculate n*v(x) + y(x).
-x**3 - x**2 + x
Let s(r) = -3*r**3 - r - 3. Let t(z) = -z**3 - 1. Give -s(d) + 5*t(d).
-2*d**3 + d - 2
Let s(c) = -5*c + 17. Suppose -5*a + 31 - 1 = 0. Let i(t) = 2*t - 6. Calculate a*s(u) + 17*i(u).
4*u
Let s(d) = -9*d**2 - 9*d - 9. Let v(r) = 5*r**2 + 4*r + 4. Give 4*s(p) + 9*v(p).
9*p**2
Let q = 16 - 10. Let r(w) = 8*w**3 + 6*w**2 - 7*w. Let o(d) = -d**3 - d**2 + d. Calculate q*o(a) + r(a).
2*a**3 - a
Let b(i) = -6*i**2. Let f(v) be the third derivative of 7*v**5/60 + 34*v**2 - 2. What is 6*b(n) + 5*f(n)?
-n**2
Let x(t) = t + 5. Let y(a) = -7*a - 2*a + 12 + 29*a. Suppose -34 = -3*o + 5*o. Let l(d) = -7*d - 4. Let k(v) = o*l(v) - 6*y(v). Determine -6*k(i) - 5*x(i).
i - 1
Let l be (-4)/(-10) + 2/(-5). Suppose a + 4*a - 10 = l. Let h(q) = q**a - 2*q**2 + q - 1 + 2*q**2 + 0*q. Let t(d) = -3*d**2 - 3*d + 2. Give -4*h(z) - t(z).
-z**2 - z + 2
Let v be (-2)/5 - (-48)/20. Let l(x) = -x**v - 4*x - x - 2 + 0 + 4*x. Let q(y) = y**2 + y + 1. Determine -3*l(w) - 4*q(w).
-w**2 - w + 2
Let c(g) = g + 1. Let w(n) = -3*n - 8. Let o(q) = -5*c(q) - w(q). Let v(p) = -1 - 3 + 3 - 3 + 2*p. Suppose 4*m = -0*m - 8. What is m*v(a) - 3*o(a)?
2*a - 1
Let x be (-26)/8 + (-1)/(-4). Let p(g) = -2*g. Let l(n) = -n. Give x*l(q) + 3*p(q).
-3*q
Let u(y) = -y - 1. Let f(j) = 9*j + 2. Calculate f(n) + 4*u(n).
5*n - 2
Let l(z) = -z**2 - z - 3. Let v(g) = 3*g**2 + 3*g + 7. Give -7*l(c) - 3*v(c).
-2*c**2 - 2*c
Let k(t) = -8*t**3 - 4*t**2 + 6*t + 1. Let q(g) be the first derivative of 15*g**4/4 + 7*g**3/3 - 11*g**2/2 - 2*g - 3. Determine -11*k(s) - 6*q(s).
-2*s**3 + 2*s**2 + 1
Let k(o) = 4*o**3 - 10*o**2 + 4*o. Let d(m) = m**2 - m. Determine -4*d(r) - k(r).
-4*r**3 + 6*r**2
Let q(i) = 7 - 4 + 3*i - 3*i**2 - 6*i**3 - 2. Let h(f) = -13*f**3 - 7*f*