-28*r**3 + 16*r**2 - 24*r + 32. Let o(i) = 24*u(i) + v(i). Determine -3*o(l) - 8*s(l).
4*l**3
Let l(b) = 2*b - 3. Let n be (-6*(-8)/48)/(1/2). Let m(v) = -8*v + 13. Calculate n*m(g) + 9*l(g).
2*g - 1
Suppose 0 = -3*y + 10*y - 42. Let w(h) = -4*h + 5. Let u(b) = b - 1. Suppose 4 = f + 3. Give f*w(a) + y*u(a).
2*a - 1
Suppose 5*a + 7 = 4*u, -2*a - 1 = -3*u + 6. Let n(p) = -3*p + 7*p + 1 + 5*p - u. Let l(i) = -i - 12*i + 3 + 0. What is 5*l(v) + 7*n(v)?
-2*v + 1
Let z(x) = -2*x**2 + 3 + 7*x**2 + 0*x**2 + x + x. Let o(p) = 6*p**2 + 2*p + 4. Determine 2*o(l) - 3*z(l).
-3*l**2 - 2*l - 1
Let w(m) = -21*m**3 + 49*m**2 - 49*m. Let x(h) = 2*h**3 - 5*h**2 + 5*h. What is 5*w(l) + 49*x(l)?
-7*l**3
Let m(f) = -18*f**3 - 2*f**2 - 2*f. Let a(p) = -72*p**3 - 9*p**2 - 9*p. Give -2*a(c) + 9*m(c).
-18*c**3
Let f(r) = r. Let z(m) = -19*m + 1. What is -2*f(y) + z(y)?
-21*y + 1
Let p(t) = t + 4. Let o be p(5). Let u(i) = 0 + 4*i - 4 - o*i. Let j(w) = w + 1. What is 4*j(x) + u(x)?
-x
Let p(g) = 3*g**3 + 5*g**2 + 6*g - 9. Let h(s) = -s**3 + s**2 + s - 1. Determine 6*h(a) - p(a).
-9*a**3 + a**2 + 3
Let d(m) = 3*m + 17. Let h(k) = k + 4. Give -2*d(p) + 9*h(p).
3*p + 2
Let c be 6/(-4) + (-1)/(-2). Let w(v) = -v**2 + v. Let u = 44 - 45. Let g(f) = 3*f**2 + 1 - f - 1. Determine c*g(o) + u*w(o).
-2*o**2
Let i(x) = x + 4. Let q(w) = -w - 11. Let z(a) be the second derivative of -a**3/6 - 6*a**2 - 5*a. Let r(h) = 7*q(h) - 6*z(h). Determine 7*i(k) + 6*r(k).
k - 2
Let x(y) = 5*y**3 + 8*y**2 + 1. Let q(s) = 3*s**3 + 5*s**2 + 1. Suppose 129 = -5*n + 154. Calculate n*x(f) - 8*q(f).
f**3 - 3
Let b(s) = -2*s**3 + 6*s**2 - 8. Let c(y) = y**3 - 5*y**2 + 7. What is 5*b(r) + 6*c(r)?
-4*r**3 + 2
Let d(v) = 8*v**2 - 9. Let x be (-7 - (-2 + -6))*14/(-2). Let i(u) = -7*u**2 + 8. What is x*i(h) - 6*d(h)?
h**2 - 2
Let v(d) = -2*d**3 - 3*d**2 + 3*d + 1. Let o = -73 - -76. Let r(g) = 5*g**3 + 5*g**2 - 5*g - 2. Calculate o*r(f) + 5*v(f).
5*f**3 - 1
Let v(k) be the third derivative of k**5/20 - 5*k**4/24 + k**3 - 3*k**2. Let l(x) = 4*x**2 - 6*x + 7. What is -5*l(y) + 6*v(y)?
-2*y**2 + 1
Let m(x) = -x**3 - x**2 - x - 1. Let j(c) = c**3 + 3*c**2 + 25*c + 3. Give -j(w) - 3*m(w).
2*w**3 - 22*w
Let c be (-11)/(-4)*8/2. Let b be (-1 + (-4 - -7))/1. Let o(d) = d**2 + 2*d - 2. Let u(t) = -5*t**2 - 11*t + 10. What is b*u(v) + c*o(v)?
v**2 - 2
Let y(b) = b. Let n(s) = 4*s. Suppose k + 16 = -2*g - 4*k, 6 = -3*k. Give g*y(w) + n(w).
w
Let o(g) = -2. Let v(y) = -y - 18. Give -14*o(q) + 2*v(q).
-2*q - 8
Let o(g) = -11*g + 9. Let j(m) = 6*m - 5. Give -7*j(r) - 4*o(r).
2*r - 1
Let b(u) = -6*u - 30. Let a(s) = 1. Give 30*a(y) + b(y).
-6*y
Let z(t) = t. Let b be z(2). Let q(d) = 6*d**3 + 2*d**2 - 2*d + 2. Let u(r) = 7*r**3 + 3*r**2 - 3*r + 3. Determine b*u(g) - 3*q(g).
-4*g**3
Let x(y) = 2*y**3 + 5*y - 4. Let g(f) be the third derivative of -f**6/24 - 7*f**4/12 + 11*f**3/6 - 8*f**2. Determine 4*g(j) + 11*x(j).
2*j**3 - j
Let t(v) = -10*v**3 - 26. Let j(a) = -a**3 - 3. Determine 52*j(q) - 6*t(q).
8*q**3
Let u(k) = -k - 1. Let l(c) = -2*c + 4. Calculate l(g) + 2*u(g).
-4*g + 2
Let f(s) = 2*s**2 + 5*s - 1. Let q(h) be the third derivative of -h**5/60 - h**4/6 - 3*h**2. Calculate 2*f(k) + 3*q(k).
k**2 - 2*k - 2
Suppose 2*u + 0 = 6. Let h(j) = 1 + 3*j - 2*j + 0*j. Let y(d) = 2*d + 1. Give u*h(z) - y(z).
z + 2
Let f(l) = -l**2 + l. Let x(k) = 8*k**2 - 7*k + 7. Determine -14*f(i) - 2*x(i).
-2*i**2 - 14
Let s(d) = -2*d**2 + 3*d + 5. Let g(l) = -3*l**2 + 3*l + 6. Give 4*g(n) - 5*s(n).
-2*n**2 - 3*n - 1
Let f be (3 - 1)/(-4) - (-3)/(-2). Let s(t) = 8*t**3 - 4*t**2 - 9*t - 13. Let w(b) = -2*b**3 + b**2 + 2*b + 3. Calculate f*s(y) - 9*w(y).
2*y**3 - y**2 - 1
Let m(u) = -12*u**3 - 9*u**2 + 9*u. Let j(v) = -v**3 - v**2 + v. Give 9*j(b) - m(b).
3*b**3
Suppose 62 = 3*o + 5*x + 8, -4*x = -12. Let p(u) = -5*u**3 + 2*u**2 - 5*u + 6. Let z(i) = -11*i**3 + 4*i**2 - 11*i + 13. Give o*p(l) - 6*z(l).
l**3 + 2*l**2 + l
Let j(r) = 9*r + 3*r + 5 - 11*r**3 - 17*r. Let a(m) = -78*m**3 - 36*m + 36. Determine -5*a(h) + 36*j(h).
-6*h**3
Let t(h) = -2*h**2 - 4*h. Let i(x) = 3*x**2 + 5*x. Suppose 4*y + 3*y = -42. Determine y*i(j) - 7*t(j).
-4*j**2 - 2*j
Let x(t) = -1. Let n(b) = 2*b + 3. Let r(y) = -1. Let j(v) = n(v) + r(v). Calculate -j(f) - 2*x(f).
-2*f
Let h(j) = -j. Let f(t) = t. Let i(a) = -4*f(a) - 3*h(a). Let d(s) = 2*s - 2. Determine d(y) + i(y).
y - 2
Suppose 0*a + 327 = 3*a - t, 4*a + 5*t = 417. Let r(k) = 108 + 7*k - a. Let q(p) = -8*p. Determine 5*q(l) + 6*r(l).
2*l
Let l(g) = 2*g**3 + 3*g**2 - 3*g - 4. Let i(d) = -2*d**3 - 4*d**2 + 4*d + 5. Suppose 2*k = -4*y - 20, -4*y - 2 = -4*k - 6. Determine y*i(a) - 4*l(a).
-2*a**3 + 1
Let t(r) = -2*r**3 + 7*r**2. Let b(x) = x**3 - 4*x**2. Give 7*b(p) + 4*t(p).
-p**3
Let n(d) = 3*d**2 - 2*d. Let q(l) = -6*l**2 + 3*l + 1. Calculate 5*n(i) + 3*q(i).
-3*i**2 - i + 3
Suppose 30 = 5*d - 4*f, -d + 4*d = -f + 18. Let r(o) = -2*o + 0*o**3 - 6 + o**3 + o**2 + d*o. Let v(p) = -2*p - 2*p - 1 + 4*p + p. Calculate -r(b) + 6*v(b).
-b**3 - b**2 + 2*b
Let g(q) = -q**3 + 13*q**2 + 7*q + 10. Let s(d) = 3*d**2 + 9*d + 6. Let v(h) = -2*h**2 - 4*h - 3. Let y(c) = -2*s(c) - 5*v(c). Give 2*g(f) - 7*y(f).
-2*f**3 - 2*f**2 - 1
Let t(p) = -p**2 + p - 1. Let y(d) = -4*d**3 - 6*d**2 + 4*d - 6. Determine 6*t(z) - y(z).
4*z**3 + 2*z
Suppose -9*k + 7*k + 4 = 0. Let f(v) = -v**2 - v + 1. Let r(p) = -2*p**2 + 4*p**2 + 2*p + 2 + p**3 - 4. What is k*f(m) + r(m)?
m**3
Let m(n) = 9*n**2 + 9. Let h(y) = y**3 - 2*y**2 - 4*y - 2. Let j be h(4). Let l = -8 + j. Let t(r) = -4*r**2 - 4. Give l*m(d) + 13*t(d).
2*d**2 + 2
Let a be (-1)/(-3) + (-112)/12. Let r(i) = 4*i**3 - 5*i**2 - 9*i - 5. Let o(q) = q**3 - q**2 - 2*q - 1. What is a*o(n) + 2*r(n)?
-n**3 - n**2 - 1
Let t(q) be the first derivative of 3*q**2 - 9*q + 12. Let r(m) = 5*m - 8. What is 7*r(k) - 6*t(k)?
-k - 2
Let u(k) = 6*k - 5. Let c(i) = 13*i - 9. Calculate 3*c(g) - 7*u(g).
-3*g + 8
Let t(u) = 7*u**2 - 6. Let d(i) = 10377*i + 8*i**2 - 10377*i - 7. Let c = -9 + 15. What is c*d(y) - 7*t(y)?
-y**2
Let k(i) = -i - 4. Suppose -4*l + 12 = 2*y, l - 11 + 3 = 2*y. Let o(c) = -c - 7. Calculate l*o(d) - 7*k(d).
3*d
Let k be (-6)/(2 - 0)*-1. Let v(y) = -50*y - 346. Let p be v(-7). Let i(w) = 3 + 2 - 6 - 2*w. Let h(q) = 3*q + 2. Calculate k*h(l) + p*i(l).
l + 2
Let o = -19 + 13. Let a = o + 11. Let y(s) = s**2 + 5*s - 2. Let z be y(-6). Let w(b) = -2*b**2 + 3*b. Let j(h) = 2*h**2 - 4*h. Determine a*w(d) + z*j(d).
-2*d**2 - d
Let n(p) = 14*p - 17. Let l = 88 + -94. Let k(q) = -5*q + 6. Calculate l*n(f) - 17*k(f).
f
Let l(g) = -5*g + 3. Suppose f = 3*d - 0*d - 8, 0 = -2*d - 4*f - 18. Let v(w) = 1. Calculate d*l(z) - 3*v(z).
-5*z
Let g(d) = -d**2 - 4*d**2 - 8 - 99*d + 91*d. Let p(v) = -3*v**2 - 5*v - 5. Determine 5*g(s) - 8*p(s).
-s**2
Let m(t) = -7*t**3 + 6*t**2 + 2*t - 3. Let x(h) = -h**3 + h**2 - 1. Calculate -m(s) + 6*x(s).
s**3 - 2*s - 3
Let c be 3 - (-4)/((10/(-4))/5). Let g(m) = -9*m**3 + 2*m**2 + 5*m - 5. Let q(p) = -5*p**3 + p**2 + 3*p - 3. Calculate c*q(b) + 3*g(b).
-2*b**3 + b**2
Let v(g) = -7*g**3 - 4*g**2. Let y(x) = -48*x**3 - 27*x**2. What is -27*v(f) + 4*y(f)?
-3*f**3
Let w(d) be the first derivative of -3*d**4/4 + d**3 - 3*d**2/2 - 8*d - 14. Let o(i) = -2*i**3 + 2*i**2 - 2*i - 5. Calculate 8*o(h) - 5*w(h).
-h**3 + h**2 - h
Let y(z) = z. Let b(p) = -6*p + 4. Give -b(q) - 5*y(q).
q - 4
Let m(a) = -a**3 + 1. Let y(q) = -8*q**3 + 42. Let c(h) = -3*h**3 + 17. Let n(v) = -12*c(v) + 5*y(v). Determine -6*m(p) + n(p).
2*p**3
Let w(x) = -3*x**3 + x - 2. Let h(r) = -13*r**3 - 9 + 5*r - 31*r**2 + 0 + 31*r**2. Calculate -4*h(t) + 18*w(t).
-2*t**3 - 2*t
Let x(m) = 8*m**2 + 3*m + 4. Let g(p) = 17*p**2 + 5*p + 7. Calculate 3*g(f) - 5*x(f).
11*f**2 + 1
Let s(m) = -1. Let p = -19 - -17. Let x be 4*(2 - (-2)/p). Let i(v) = -2*v + 5. Determine x*s(u) + i(u).
-2*u + 1
Let s(a) = -15*a + 6. Let t(q) = -15*q + 5. What is -4*s(n) + 5*t(n)?
-15*n + 1
Let n(f) = 2*f**3 + 4*f + 6. Let t(w) = -2*w**3 - 5*w - 7. Let p(k) = 3*k - 2. Let l be p(2). Let x = 2 + l. Give x*t(h) + 7*n(h).
2*h**3 - 2*h
Let q(n) = -6*n**2 + 5*n + 4. Let i(s) be the second derivative of -5*s**4/12 + 2*s**3/3 + 3*s**2/2 - 6*s. What is -5*i(z) + 4*q(z)?
z**2 + 1
Let i(r) = -11*r**3 + 2. Suppose -37*s + 6*s - 93 = 0. Let t(m) = 