o**3 + 3*o**2 + 3*o - 3. Determine 3*a(r) - 8*g(r).
r**3
Suppose -63 = -5*w + 7. Let s = w + -17. Let n(d) = 14*d**3 - 8*d**2 - 8. Let x(u) = -5*u**3 + 3*u**2 + 3. Determine s*n(f) - 8*x(f).
-2*f**3
Let z(o) = 104 + 4*o - 104 - 4*o**2. Let v(a) = -3*a**2 + 3*a. Give -7*v(h) + 5*z(h).
h**2 - h
Suppose -200*u = -199*u + 6. Let n(j) = -3*j - 1. Let t(c) = -7*c - 3. Let k(z) = -5*n(z) + 2*t(z). Let i(v) = -3*v**3 - 6*v + 6. What is u*k(g) - i(g)?
3*g**3
Suppose -2*f + 5 - 1 = 0. Let m(v) = 12*v**3 - 27*v - 27. Let l(s) = -s**3 + 2*s + 2. Calculate f*m(t) + 27*l(t).
-3*t**3
Let x(o) = 3*o - 4. Let d(k) = -k. What is -4*d(m) + x(m)?
7*m - 4
Let i be (-10)/(-4)*8/10. Let f be i/(24/(-10) + 2). Let q(m) = 6*m - 1. Let b(o) = 1. Let h(c) = c - 2. Let k(z) = 4*b(z) + 2*h(z). Give f*k(y) + 2*q(y).
2*y - 2
Let g(s) = 18*s + 1. Let w(y) = 17*y. Calculate -2*g(f) + 3*w(f).
15*f - 2
Let a(o) = -o + 6. Let l(d) = 5. Give -3*a(y) + 4*l(y).
3*y + 2
Let j be 16/24*(-9)/6. Let i(v) = v. Let t(p) = p**2 + 15*p. Let l(u) = -8*u. Let f(d) = -5*l(d) - 2*t(d). Give j*f(w) + 10*i(w).
2*w**2
Let c(b) = 3*b + 6. Let t(m) be the third derivative of -1/6*m**3 + 0*m + 0 - 1/24*m**4 + 5*m**2. Give -c(u) - 4*t(u).
u - 2
Let s(f) = -1. Let z(h) = 5*h - 3. Calculate 6*s(i) - 2*z(i).
-10*i
Let c(k) = -6*k**3 + 6*k**2 + 5*k - 2. Let g(s) = -7*s**3 + 7*s**2 + 6*s - 2. Calculate -6*c(d) + 5*g(d).
d**3 - d**2 + 2
Let m = 22 + -16. Let d(c) = -6*c**3 + 17. Let q(u) = -u**3 + 3. Determine m*d(f) - 34*q(f).
-2*f**3
Let k(x) = -7*x**2 + 2*x. Let g(p) = -p. Determine 3*g(l) + k(l).
-7*l**2 - l
Let s(y) = 3*y**3 - y**2 + 2*y. Suppose 3*h = 6, -g - 3*g - h = -14. Let b(x) = x**2 + 0*x**3 + 5*x - 4*x**2 - 3*x**3 + 11*x**g. What is 4*b(j) - 11*s(j)?
-j**3 - j**2 - 2*j
Let p(b) = 3*b - 6. Let h(y) = -4*y - 8. Let j(g) = -2*g - 3. Let v(s) = -3*h(s) + 7*j(s). Give 3*p(f) + 5*v(f).
-f - 3
Let f(g) = -g**2 - g. Let b(q) = -7*q**2 - 5*q + 9. Give -b(h) + 5*f(h).
2*h**2 - 9
Let f(n) = n. Let y(g) = -2*g**2 - 7*g - 1. Suppose 3*h - 8*h - 30 = z, 0 = 4*z + 2*h + 30. Calculate z*f(r) - y(r).
2*r**2 + 2*r + 1
Let o(u) = 2*u**2. Suppose 3*t + 11 = 4*t. Let p(m) = 10*m**2 + 1. Give t*o(g) - 2*p(g).
2*g**2 - 2
Let r(s) = -4*s + 4*s + 1 + s. Let h(u) = u**3 + 3*u**2 - 1. Let g be h(-2). Let b(m) = 2*m + 1. Let w = 2 - 3. Determine g*r(c) + w*b(c).
c + 2
Let i(z) = 5*z**2 - 2. Let l = 15 - 16. Let u(d) = d**2 + 1. Let c(s) = -4*s**2 - 2. Let p(q) = l*c(q) - 3*u(q). What is i(r) - 2*p(r)?
3*r**2
Let i(w) = w + 2. Suppose -2*s - 17 = -5*o, 4*s - 2*s + o - 1 = 0. Let r(h) be the second derivative of h**2/2 + 3*h. Calculate s*i(d) + 2*r(d).
-d
Let p be 2 - 2/(-3 - -1). Let s(t) be the second derivative of -5*t**4/12 - t**3 - t**2/2 - t. Let n(g) = 4*g**2 + 5*g + 1. Calculate p*s(r) + 4*n(r).
r**2 + 2*r + 1
Let v(i) = -3*i + 2. Suppose 3*n - 2*q - 10 - 6 = 0, 0 = -5*n + 3*q + 25. Let j be v(n). Let z(g) = 3*g. Let x(y) = 0*y + 2*y + 0*y. Calculate j*z(b) + 5*x(b).
-2*b
Let c(u) = -2. Let k(n) = n - 1. Let a = 4 - 2. Suppose 4*d - 3 = 5*d - r, -4*r - 6 = 5*d. Determine a*c(s) + d*k(s).
-2*s - 2
Let q(m) = 1. Let j(a) = -1. Let s(b) = j(b) + 2*q(b). Let h(d) be the second derivative of d**4/6 + d**3/3 + 13*d. Give h(n) + s(n).
2*n**2 + 2*n + 1
Let a(m) = -m - 1. Let i(r) = -2*r - 14 + 29 - 18. Calculate 3*a(f) - i(f).
-f
Let m(b) = 9*b**2 + 3*b + 4. Suppose 0 = -3*p - 10 - 11. Let j(g) = -5*g**2 - 2. Let o(y) = y**2 - y. Let u(w) = -j(w) - o(w). What is p*u(s) + 3*m(s)?
-s**2 + 2*s - 2
Let c(q) = q**3 - q**2 - q. Let g(w) = -2*w**3 + 2*w**2 + 9*w - 3. Let x(h) = -7*h**3 + 6*h**2 + 26*h - 8. Let f(n) = 8*g(n) - 3*x(n). Give 6*c(l) - f(l).
l**3 - 4*l**2
Let i(u) = -3*u**3 - 4. Suppose -5*m + 5 = -15. Suppose -2*o = -o + m. Let w(h) = 8*h**3 + 11. Give o*w(g) - 11*i(g).
g**3
Let d(o) = o**3 + o**2. Let s(g) = -21*g**3 - 1 + g**2 + 5*g**2 + 23*g**3. What is -4*d(q) + s(q)?
-2*q**3 + 2*q**2 - 1
Let w = 2 + 1. Suppose 0 = -5*b - 3*c - 25 - 3, -c = 1. Let h(x) = -9*x - 1. Let n(s) = -5*s - 1. Calculate b*n(o) + w*h(o).
-2*o + 2
Let q(r) = 6*r. Let n(g) = 12*g - 26*g + 17*g. What is -14*n(i) + 6*q(i)?
-6*i
Suppose 3*q = 7*q + 4. Let h(t) be the first derivative of t**2 - 2*t + 2. Let l(y) = y. Calculate q*h(o) + 4*l(o).
2*o + 2
Let w(v) = v**2 - 1. Let b(h) = -10*h**2 + 6. What is b(a) + 6*w(a)?
-4*a**2
Suppose -3*f + 4 = -f. Suppose 3*x = -f - 7. Let p(d) = d + 5. Let q(b) = b + 4. Determine x*p(j) + 4*q(j).
j + 1
Let k(d) be the second derivative of -d**4/4 + d**3/6 + d**2 + 7*d. Let u(p) = -3*p**2 + p + 1. Calculate -3*k(i) + 4*u(i).
-3*i**2 + i - 2
Let u(x) = -4*x**2 - x - 1. Let h(j) = 12*j**2 + 3*j + 3. Give -6*h(p) - 17*u(p).
-4*p**2 - p - 1
Let w(z) = -3*z - 4. Let x(p) = -2*p - 4. Give -4*w(d) + 5*x(d).
2*d - 4
Let m(z) = -2*z**2 + 6. Let g(t) be the second derivative of -t**4/12 + t**2/2 - 28*t. Determine g(s) - m(s).
s**2 - 5
Suppose -3*n = 2*n + 15. Let r(d) = d**3 - 3*d**2 - 6*d + 3. Let v be r(4). Let z = n - v. Let c(b) = -b**2 + 1. Let g(s) = s**2 + s - 2. Give z*c(i) + g(i).
-i**2 + i
Let q(g) = 2*g**3 + 4*g**2 - 4*g + 4. Suppose 0 = 3*n - 5*n - 8. Let x(w) = -w**3 - w**2 + w - 1. Calculate n*x(j) - q(j).
2*j**3
Let k(d) = -15*d**2 + 2*d - 2. Let j(q) = 15*q**2 - 3*q + 3. Determine 2*j(p) + 3*k(p).
-15*p**2
Let k(p) = p - 5. Let y(i) = -2*i + 14. Suppose 13*q - 18*q = 20. Determine q*y(v) - 11*k(v).
-3*v - 1
Let g(v) be the first derivative of 0*v**3 + 1 - v**2 - 5/4*v**4 + 6*v. Let n(k) = -5 + k - 3*k**2 + 4*k**3 + 3*k**2. Determine -3*g(t) - 4*n(t).
-t**3 + 2*t + 2
Let t(h) = 78*h + 6. Let p(d) = -1. What is 5*p(f) + t(f)?
78*f + 1
Let t(l) = -26 + 14 + 8 - 4*l. Let s(j) = -5*j + j + 3 + 3*j + 4*j. Give -6*s(o) - 4*t(o).
-2*o - 2
Let w(l) = -8*l**2 - 2*l - 5. Let j(n) = -7*n**2 - 3*n - 4. What is -6*j(t) + 5*w(t)?
2*t**2 + 8*t - 1
Let r(n) = -66*n - 5. Let m(f) = -13*f - 1. Give 11*m(b) - 2*r(b).
-11*b - 1
Let t(l) = 25. Let g(c) = c - 126. What is 2*g(k) + 11*t(k)?
2*k + 23
Let z(h) = 6*h**2 + 6*h - 7. Let v(b) be the third derivative of -b**5/60 - b**4/24 + b**3/6 - 13*b**2. Calculate 5*v(f) + z(f).
f**2 + f - 2
Let l(v) = 8*v**2 - 22*v - 22. Let r(z) = -z**3 + 3*z**2 + 3*z - 3. Let y be r(3). Let x(p) = -p**2 + 3*p + 3. Give y*l(o) + 44*x(o).
4*o**2
Let m(y) = y**3 + y - 1. Let p(w) = -3*w**3 - w + 2. Let s be (-24)/(-15) - (-2)/5. Suppose -5*t + s*g - 6 = -3*t, -7 = -t - 4*g. What is t*p(x) - 2*m(x)?
x**3 - x
Let c(z) = z**2 - 6*z - 3. Let t be c(7). Suppose -3*k + 0*k - 9 = 0. Let x(m) = 4*m**2 + 3. Let p(a) = 5*a**2 + 4. What is k*p(g) + t*x(g)?
g**2
Let f(t) = -15*t**3 - 13*t**2 + 13*t - 23. Let i(b) = 7*b**3 + 6*b**2 - 6*b + 11. What is 6*f(n) + 13*i(n)?
n**3 + 5
Let l(p) be the third derivative of p**4/24 + p**3/2 + 53*p**2. Let a(w) = 1. Give -6*a(i) + 2*l(i).
2*i
Let u(p) = -1. Let v(o) = 4*o - 1 - 5*o + 5 + 6. Calculate -6*u(d) - v(d).
d - 4
Let j(n) = 4*n**2 + 9*n + 1. Let u(w) = -2*w**2 - 5*w - 1. Let m be ((-5)/15)/((-3)/27). Let f be (-18)/(-4) - 4/(-8). Give f*u(o) + m*j(o).
2*o**2 + 2*o - 2
Let o(q) = -4*q**3 + 3*q**2 + q + 2. Let t(p) = -p**3 + p**2 + 1. Determine 2*o(a) - 6*t(a).
-2*a**3 + 2*a - 2
Let a(s) = -s + 1. Suppose 30*y = 26*y + 8. Let f(d) = -1. Give y*f(x) + 2*a(x).
-2*x
Let d(r) = 3*r - 2. Let u(j) = 1. Determine -d(c) - 2*u(c).
-3*c
Let q(r) be the first derivative of 7*r**2/2 + 15*r - 4. Let z(o) = -3*o - 7. What is -4*q(s) - 9*z(s)?
-s + 3
Let r(i) = 54*i. Let a(m) = -m. What is 189*a(l) + 3*r(l)?
-27*l
Let r(u) = -23*u - 21. Let l(m) = 8*m + 7. Give -17*l(f) - 6*r(f).
2*f + 7
Let n = 2 - -2. Let s(m) = n*m + 5 + 11*m**2 - 11 - 7. Let w(j) = -5*j**2 - 2*j + 6. What is -4*s(h) - 9*w(h)?
h**2 + 2*h - 2
Let d(l) = -20*l**2 + 25*l + 25. Let c(u) = 5*u**2 - 6*u. Let a(z) = -5*z**2 + 6*z + 1. Let p(f) = -6*a(f) - 5*c(f). Give -6*d(k) - 25*p(k).
-5*k**2
Let u(o) = 2*o**2 - 5*o - 2. Let c(n) = -4*n**2 + 9*n + 5. Give 3*c(j) + 5*u(j).
-2*j**2 + 2*j + 5
Let t(w) = 4*w**3 - 14*w + 14. Suppose 0*k - 3*k + 1 = -4*z, -2*k = 5*z - 16. Let m(s) = -4 - 3 + k*s - s**3 + 4. Let f = 27 - 41. Determine f*m(l) - 3*t(l).
2*l**3
Let s(v) = -v. Let l(p) be the first derivative of 5*p**2/2 + p + 3. Calculate l(f) + 4*s(f).
f + 1
Let u(v) = -v**3 + 2*v**2 + 2*v - 6. Let n(h) = 3*h**3 - 7*h