 8. Let k be f(7). Let n(m) = -m. Let g(o) = 7*o - 2. Determine k*g(h) - 6*n(h).
-h + 2
Let m(b) = -6*b**3 - 27*b**2 - 27*b - 27. Suppose 4*t = -3*i + 93, -2*i - 77 = -2*t - 13. Let s(u) = -u**3 - 4*u**2 - 4*u - 4. What is t*s(h) - 4*m(h)?
-3*h**3
Let j(c) = 4*c**2 - 6*c. Let o(y) = -y**2 + y - 1. What is j(f) + 6*o(f)?
-2*f**2 - 6
Let g(o) = -3*o**2 + 3*o + 2. Let u(z) = -7*z**2 + 7*z + 4. Let a be (-42)/(-4) - 33/(-22). Let x = 6 + 11. Let v = a - x. What is v*g(y) + 2*u(y)?
y**2 - y - 2
Let k(b) be the third derivative of 3*b**6/40 + 7*b**5/60 - b**3/6 - 17*b**2. Let r(c) = -4*c**3 - 3*c**2. Give 3*k(f) + 7*r(f).
-f**3 - 3
Let r(q) = 34*q**2 + 2. Let g(x) = 17*x**2 + 1. What is 7*g(w) - 4*r(w)?
-17*w**2 - 1
Let l(b) = -b + 1. Let d(x) be the second derivative of -x**3 + 3*x**2/2 + 4*x. What is d(g) - 5*l(g)?
-g - 2
Let l(u) = 2*u**3 - 6*u**2 + 3. Let c(x) = 5*x**3 - 17*x**2 + 8. Calculate 3*c(w) - 8*l(w).
-w**3 - 3*w**2
Let y(v) = -4*v**2 - 4*v + 9. Let i(o) = -o**2 + o**2 - o + o**2 + 2 - 2*o**2. Calculate 26*i(h) - 6*y(h).
-2*h**2 - 2*h - 2
Let u(l) = -7*l**2 + 1 + 2*l + 6*l**2 + 0*l**2. Let x(k) = 2*k**2 - 4*k - 2. Suppose 0 = -2*b - b + 15. Determine b*u(w) + 2*x(w).
-w**2 + 2*w + 1
Let w be -15*3/10*(-32)/24. Let p(j) = 2*j**3 + 5*j**2 + 6*j + 6. Let s(b) = -2*b**3 - 4*b**2 - 5*b - 5. What is w*s(l) + 5*p(l)?
-2*l**3 + l**2
Let m(l) = 11*l**3 + 5*l**2 + 5. Let s(k) = 2*k**2 - 13 - 4*k + 15 + 5*k**3 + 4*k. Calculate -2*m(h) + 5*s(h).
3*h**3
Let x(d) be the first derivative of d**3/3 - d**2/2 - d - 1. Let k(n) be the first derivative of -n**3/3 - 3*n**2/2 - 29. Calculate k(w) - x(w).
-2*w**2 - 2*w + 1
Let q(b) = -9*b + 7. Let m be (1 + (-1 - 1))*1. Let p be 5/(-10)*(-7 + m). Let g(j) = -5*j + 4. What is p*q(i) - 7*g(i)?
-i
Let m(f) = 2*f + 8. Let l(w) = -3*w - 9. Give 5*l(y) + 6*m(y).
-3*y + 3
Let w(y) = 13*y**2 - 6. Let z(a) = 1. Give w(s) + 6*z(s).
13*s**2
Let d(y) = -377*y**2 + 104*y - 104. Let f(n) = 18*n**2 - 5*n + 5. Determine -5*d(m) - 104*f(m).
13*m**2
Let m(r) = r**3 + r**2 + r + 1. Suppose -q + 2*q - i = -17, 3 = i. Let g = 11 + q. Let v(j) = j**2 + j + 1. What is g*v(d) + 3*m(d)?
3*d**3
Let f(y) = 7*y**2 - 2. Let o(z) = 120*z**2 - 35. Determine 105*f(i) - 6*o(i).
15*i**2
Let p(f) = -f**2 - 1. Let r(i) = -i**3 + 6*i**2 + 5. Let m = -6 + 1. What is m*p(x) - r(x)?
x**3 - x**2
Let i(x) = 2*x**3 + 7*x - 2*x + 3 - 7*x + 6*x. Let j(n) = n + 1. Let g(m) = -m**3 - 3*m**2 - m - 4. Let b be g(-3). What is b*i(h) + 4*j(h)?
-2*h**3 + 1
Let w(r) = r**2 - 4*r + 7. Suppose 0 = -p - 3*x + 8, -x + 24 = 4*p + 3*x. Let b(h) = h**2 - 3*h + 5. Determine p*w(i) - 7*b(i).
-2*i**2 + i
Let w(z) = 4*z**3 - 4*z - 8*z**2 - 5*z**3 + 6*z**2. Let r(c) = -2*c**3 - 4*c**2 - 7*c. Determine -4*r(i) + 7*w(i).
i**3 + 2*i**2
Let r(g) = -g - 3. Let h(p) = 0*p - 2*p + p - 2. Let f(q) = q**2 + 10*q + 14. Let k be f(-9). Give k*h(t) - 4*r(t).
-t + 2
Let s(l) = -4*l**3 + 4*l**2 - 3*l + 3. Let k(c) = -c**3 + c**2 + 1. Determine 3*k(f) - s(f).
f**3 - f**2 + 3*f
Let v(z) = 45*z**2 + 11*z. Let m(r) = -11*r**2 - 3*r. Give 22*m(t) + 6*v(t).
28*t**2
Let k(n) = 7*n**2 + 4*n - 1. Let o(w) = -14*w**2 - 9*w + 2. Give 7*k(u) + 3*o(u).
7*u**2 + u - 1
Let q(n) = 4*n**3 - 2*n**2 - n. Let b(l) = 3*l**3 - 2*l**2 - l. Give 5*b(u) - 4*q(u).
-u**3 - 2*u**2 - u
Let t(o) be the second derivative of o**4/4 + 11*o. Let i(c) = -8*c**2. Let n be 3*2/6*-4. Calculate n*i(a) - 11*t(a).
-a**2
Let w(i) = 2*i**2. Let n(r) = -2*r**2. Suppose 3*p = 9 + 3. Give p*w(a) + 3*n(a).
2*a**2
Let x(i) = 0*i**3 - 8*i**3 - 2001*i**2 - 5 + 1996*i**2. Suppose -5*l + 20 = -5. Let c(z) = 9*z**3 + 6*z**2 + 6. Give l*c(s) + 6*x(s).
-3*s**3
Let k(c) = 2*c - 6. Let v(t) = -t + 5. Let u(a) be the second derivative of a**5/20 - a**4/2 + 7*a**3/6 - 7*a**2/2 + a. Let m be u(5). What is m*k(o) + 4*v(o)?
2*o + 2
Let b(z) = 5*z**2 + z - 6. Suppose 3*q - 5*t - 8 = 0, 2*q = 6*q + 3*t - 30. Let d(n) = -11*n**2 - 2*n + 13. What is q*d(w) + 13*b(w)?
-w**2 + w
Let k be (5 - 2)*4/(-6). Suppose g - 4 = -0. Let l(s) = 3*s - 1 + g*s**2 + 5*s**3 + 0 - 3*s**2 + 0. Let y(c) = 4*c**3 + c**2 + 2*c - 1. What is k*l(w) + 3*y(w)?
2*w**3 + w**2 - 1
Suppose -h + 8 = 4*l, 6*h = h - 3*l + 40. Let g(f) = -h*f + 3*f + f**2 - 2*f**3 + 4*f**2. Let r(z) = -2*z**3 + 6*z**2 - 6*z. Give -6*g(v) + 5*r(v).
2*v**3
Suppose 2*w - 6 = 2*g + 12, -18 = 2*g + 3*w. Let u(k) = 3*k**2 - 2*k - 1. Let n(b) = -7*b**2 + 4*b + 2. Give g*u(c) - 4*n(c).
c**2 + 2*c + 1
Let k(f) = 16*f + 17. Let x(m) = -4*m - 4. What is 2*k(c) + 9*x(c)?
-4*c - 2
Let h(f) = f**3 + 12*f**2 + 9*f + 9. Let s(k) = -k + 2. Let q be s(4). Let a(n) = 3*n**2 + 2*n + 2. Calculate q*h(i) + 9*a(i).
-2*i**3 + 3*i**2
Let o(b) = b + 9. Let u be o(-7). Let f(i) = -u*i + 3*i - 4*i. Let v(z) = -30*z. Calculate 21*f(w) - 2*v(w).
-3*w
Let c(f) = -6*f**2 + 6*f - 6. Let w(i) = -i - 1. Let g(k) = 2*k. Let b(z) = g(z) + w(z). Calculate -6*b(q) + c(q).
-6*q**2
Let h(j) = j**2 + j. Let v(k) = 16*k**2 + 14*k. What is -84*h(x) + 6*v(x)?
12*x**2
Let p(m) = 4*m**3 - 2*m**2 + 3. Suppose -4*j + 20 = -9*j. Let w = j - 0. Let s(t) = -3*t**3 + 2*t**2 - 2. Determine w*p(n) - 5*s(n).
-n**3 - 2*n**2 - 2
Let m(t) = 28*t**3 - t + 2. Let c(w) = 29*w**3 - w + 3. Give 2*c(j) - 3*m(j).
-26*j**3 + j
Let m(f) = 27*f + 4. Let y(a) = 13*a + 2. What is 2*m(u) - 5*y(u)?
-11*u - 2
Let x(n) = -12*n**3 - 11*n + 10. Let p = -20 - 2. Suppose 4*y + 2 = 3*y. Let a(z) = z**3 + z - 1. Calculate p*a(b) + y*x(b).
2*b**3 + 2
Let p(q) = 19*q - 2. Let u(k) = 246*k - 27. What is 27*p(l) - 2*u(l)?
21*l
Let r(l) = 3*l**3 + l**2 - 10. Let y(j) = -7*j**3 - 2*j**2 - j + 21. Determine 5*r(h) + 2*y(h).
h**3 + h**2 - 2*h - 8
Let w(l) = l - 2. Let r(b) = -2*b + 1. What is 3*r(t) + 4*w(t)?
-2*t - 5
Let u(l) = -11*l**2 - 4. Let z(y) = -10*y**2 - 3. Calculate 2*u(j) - 3*z(j).
8*j**2 + 1
Let o(i) = -108 - 5*i + i**2 + 113 + 0*i**2. Let x(n) = n**2 - 6*n + 6. Calculate -6*o(w) + 5*x(w).
-w**2
Let g(t) be the second derivative of -t**4/12 - 2*t**3/3 - 3*t**2/2 + 8*t. Let w(p) = 2*p**2 + 7*p + 5. Calculate -5*g(q) - 3*w(q).
-q**2 - q
Let c(b) = -b**3 - 3*b**2 - 3. Let p = -3 + 7. Let d be (-6)/2 + -6 + 6. Let l = d - -6. Let y(j) = 2*j**3 + 4*j**2 + 4. Give l*y(m) + p*c(m).
2*m**3
Let x(t) = t**3 - t**2 - 2*t + 2. Let m(h) = -6*h**3 + 4*h**2 + 11*h - 11. Let r(o) = -2*m(o) - 11*x(o). Let k(w) = 4*w**2. Determine 3*k(f) - 4*r(f).
-4*f**3
Let c(b) = -b**3 - 5*b**2 - 4*b - 6. Let h be c(-5). Let r = 3 - 5. Let d(n) = 7 - 8*n**3 - 7 + 7. Let t(w) = -w**3 + 1. Calculate h*t(v) + r*d(v).
2*v**3
Let l(g) = -5*g**2 - 5*g - 6. Let c(d) = -6*d**2 - d + 4. Let r(p) = 7*p**2 + p - 5. Let o(t) = -6*c(t) - 5*r(t). Give l(q) + 4*o(q).
-q**2 - q - 2
Let w(u) = -4. Let o(i) = -i + 7. Suppose -s = -5*c + 2*s + 24, -2*s = -2*c + 12. Give c*o(g) + 5*w(g).
-3*g + 1
Let h(p) = -4*p - 9. Let v(j) = -j. Let l(q) = 1. Let z(s) = -2*l(s) + v(s). Suppose 0 = -3*w - 2*b + 37, -4*w + 13 = 2*b - 33. Determine w*z(y) - 2*h(y).
-y
Let l(g) = g**3 + 3*g**2 - 5*g. Let j be l(-4). Let m(r) = 2*r + 5. Let c(o) = 3*o + 9. Give j*c(i) - 7*m(i).
-2*i + 1
Let s(q) = -1. Let x(t) = -15*t - 9. Calculate -6*s(y) + x(y).
-15*y - 3
Let y(u) = 3*u - 4. Suppose -5*w = 3*k - 4, k + 3*k + 2*w - 10 = 0. Let c(m) = -3*m + 5. Determine k*y(h) + 2*c(h).
3*h - 2
Suppose -10 = -2*u, 4*k - 3*k + 4*u - 26 = 0. Suppose -k*b + 10*b + 8 = 0. Let t(n) = n**3 - n + 1. Let c(i) = -2*i**3 - i**2 + i - 1. Give b*c(w) - 2*t(w).
2*w**3 + 2*w**2
Let i(p) = -p**2 - 5 - 9*p**2 - 10*p + 5*p**2. Let r(d) = -6*d**2 - 11*d - 6. Determine -7*i(n) + 6*r(n).
-n**2 + 4*n - 1
Let n(w) = -w**2 - 7*w - 1. Let h(u) = u**2 + 7*u. Calculate -4*h(x) - 3*n(x).
-x**2 - 7*x + 3
Suppose 7*o - 3*o - 12 = 0. Let l(w) = 2 - o + 2 - w. Let u(v) = -5*v + 3. Give 3*l(t) - u(t).
2*t
Let b(x) = -2*x**3 + 5*x**2 - 3*x + 2. Let k(w) = 3*w**3 - 8*w**2 + 5*w - 3. Let r(u) = u**2 + 10*u - 16. Let j be r(-11). Give j*k(d) - 8*b(d).
d**3 - d - 1
Let z be (6 - 3) + 0 + -7. Let a(b) = -b + 2. Let j(n) = 10 - 6 - n - 2. Calculate z*j(q) + 5*a(q).
-q + 2
Let d(f) = -5*f + 1. Let c(u) = 2*u - 1. Give -7*c(q) - 3*d(q).
q + 4
Let d(z) = -9*z**2 + 9*z + 2. Suppose 3*x - 4*f = -13, 4*x + 34 = 5*f - 3*f. Let t(s) = -5*s**2 + 5*s + 1. What is x*t(o) + 6*d(o)?
o**2 - o + 1
Let j(s) =