4/i - 15/6. Let w(n) = 7*n + 5. Give g*w(h) + 5*u(h).
h
Let m(u) = -16*u**3 + 5*u**2 - 5*u - 5. Let f(h) = 24*h**3 - 8*h**2 + 8*h + 8. What is -5*f(a) - 8*m(a)?
8*a**3
Let g(h) = 41*h + 2. Let c(o) = 41*o + 1. Calculate -3*c(t) + 2*g(t).
-41*t + 1
Suppose 0 = 3*v - 4*p + 18, -v - p - 6 = 4*p. Let u(z) = -z - 1. Let m(w) = -2*w + 2. Let j(y) = -4*y + 3. Let g(n) = 4*j(n) - 7*m(n). What is v*u(o) + 2*g(o)?
2*o + 2
Let w(h) = 2*h**2 + 4*h - 3. Suppose -y = 3*y - 12. Let m(t) = 5*t + 4*t**2 - 4 + 0 + 2*t**2 - y*t**2. Calculate 3*m(j) - 4*w(j).
j**2 - j
Let c(q) = -15*q**2 + 5*q + 5. Let g(a) = -22*a**2 + 7*a + 7. Give -7*c(o) + 5*g(o).
-5*o**2
Let k(b) = 3*b + 4. Let r(q) = -q - 1. Let d(w) = k(w) + 4*r(w). Let f(y) = 2*y. What is -d(t) - f(t)?
-t
Let z(n) = -n**3. Let c(q) = -6*q**3 + 3*q. Let k(f) = f**3 - f. Let o(d) = c(d) + 3*k(d). Calculate -2*o(x) + 10*z(x).
-4*x**3
Suppose -r - 7*r = -48. Let t(b) = 7*b**2 - 4*b. Let u(n) = -2*n**2 + n. Determine r*t(k) + 22*u(k).
-2*k**2 - 2*k
Let g(q) = -3*q**2 - 9*q + 11. Let i(c) = -2*c**2 - 5*c + 6. Calculate -4*g(m) + 7*i(m).
-2*m**2 + m - 2
Let k(h) = 29*h**3 - 2*h**2. Let l(r) = r**2. Give 3*k(m) + 6*l(m).
87*m**3
Let p(i) = -1. Let v(a) = -44*a + 24. Determine -24*p(j) - v(j).
44*j
Let y(m) = 6*m + 3. Let x(g) = -g - 1. Let f = 23 + -20. Determine f*x(s) + y(s).
3*s
Let n(d) = 8*d**3 - 8*d**2 + 2*d - 6. Let z = -15 - -20. Let f(k) = 7*k**3 - 7*k**2 + 2*k - 5. Give z*n(u) - 6*f(u).
-2*u**3 + 2*u**2 - 2*u
Let x(z) = 19*z + 1. Let k(m) = -58*m - 3. What is 4*k(n) + 11*x(n)?
-23*n - 1
Let z(d) = -d**2 + d - 1. Let w(u) = -u**3 - u**2 + u - 1. Let v(k) be the first derivative of -k**2/2 + 10*k + 4. Let s be v(8). Determine s*z(h) - 2*w(h).
2*h**3
Let a(n) = -2*n**2 - 5*n + 2. Let h(g) = g - 1. Let p be h(4). Let u(o) = -2*o**2 + p*o**2 - o + 2*o - 1. Determine -a(d) - 4*u(d).
-2*d**2 + d + 2
Let g(z) = z. Let q(h) be the first derivative of 3*h**2/2 + 2*h - 7. Give -4*g(x) + q(x).
-x + 2
Let s(v) = -1. Let d(b) = -4*b - 2. Calculate -d(x) - s(x).
4*x + 3
Suppose 0 = -4*g + 2 - 6. Let p(c) = 3. Let v(q) = q - 1. Give g*p(i) - v(i).
-i - 2
Let k(m) = -2*m**2 + 4*m. Suppose 0*d = -4*d - 24. Let r be ((-10)/(-4))/(3/d). Let i(h) = h**2 - 2*h. Give r*i(x) - 2*k(x).
-x**2 + 2*x
Let z(l) = l + 0 - 1 - 2*l. Let n(r) = 4*r + 7. Let p be (-1)/5 - (-18)/(-10). Let t = 8 + p. Give t*z(h) + n(h).
-2*h + 1
Suppose -d - 4*t - 2 = -1, -4*t - 4 = 0. Let i(y) = -7*y**3 - 4*y**2 - 4*y - 4. Let r(x) = 6*x**3 + 3*x**2 + 3*x + 3. Determine d*i(g) + 4*r(g).
3*g**3
Let f(x) = -x + 1. Suppose -2*s - 5 = -2*b + b, 3*b + 4*s = -15. Let n(z) = -1. Give b*f(y) + 2*n(y).
y - 3
Let t(s) be the third derivative of -s**5/10 - s**3/3 - 2*s**2. Suppose -24 + 1 = -3*c - q, -c + 5*q - 3 = 0. Let l(r) = -11*r**2 - 4. What is c*t(i) - 4*l(i)?
2*i**2 + 2
Let r be (-6)/1 + 0 - -3 - 2. Let m(z) = -9*z**3 + 5*z**2 - 11*z + 7. Let t(q) = -14*q**3 + 8*q**2 - 17*q + 11. Give r*t(f) + 8*m(f).
-2*f**3 - 3*f + 1
Let b(a) = 5*a + 7. Let n(v) = -v - 1. Let i(q) = 2*b(q) + 14*n(q). Let s = 8 + -3. Let j(t) = 3*t. Let f be (-12)/(-3) - (-1 + 1). Give f*i(o) + s*j(o).
-o
Let b(z) = z - 3 + 1 + 0*z. Suppose -2*y - 8 = -4*y. Suppose -r + 6 = -y*r. Let l(f) = 2*f - 3. Determine r*l(w) + 3*b(w).
-w
Let i(x) = 2*x**3 + 9*x**2 - 11*x. Suppose 6 + 6 = 3*y. Let c(g) = -g**3 - 4*g**2 + 5*g. Let u be 2/2*(-81)/(-9). Give u*c(l) + y*i(l).
-l**3 + l
Let u(l) = -3*l**2 + 3. Let s(x) = -32*x**2 - 2*x + 32. Let o(h) = 16*h**2 + h - 16. Let v(d) = -5*o(d) - 2*s(d). Calculate 11*u(y) - 2*v(y).
-y**2 + 2*y + 1
Let c(l) be the first derivative of -l**2/2 + 10. Let k(h) = 4*h + 3. Let n(t) = -2*t - 1. Let o(i) = 2*k(i) + 5*n(i). What is 5*c(y) - 2*o(y)?
-y - 2
Let j(b) = -b. Let l(m) = 9*m. What is -4*j(q) - l(q)?
-5*q
Let f(r) = 4*r - 10. Let w(j) = 6*j + 5 - 2 - 7*j. Determine -2*f(l) - 7*w(l).
-l - 1
Let u(q) = -7*q**3 - 7*q. Suppose 3*f = 4*l + l + 28, 3*l = -3*f - 12. Let h(k) = 4*k**3 + 4*k. Calculate l*h(b) - 3*u(b).
b**3 + b
Let g(c) be the third derivative of c**5/60 + c**4/24 + c**2. Let d be 15/(-2)*(-12)/15. Let f(y) = -y - d*y**2 + 0*y + 2*y**2 - 1 + 2. What is -f(i) - 2*g(i)?
2*i**2 - i - 1
Let l(p) be the third derivative of 7*p**5/60 - 5*p**4/24 - p**2. Let o(s) = -8*s**2 + 6*s. Determine 6*l(j) + 5*o(j).
2*j**2
Let b(z) = 2*z**2 - 4*z. Let y = -18 + 12. Suppose -33 = 2*t + t. Let l(r) = -r**2 + 2*r. Calculate t*l(j) + y*b(j).
-j**2 + 2*j
Let u(n) = -n - 1. Let d(k) = 18*k + 21. Calculate -3*d(l) - 63*u(l).
9*l
Let k(i) = 1 + 3 - 3. Let h(u) = -3*u - 2. Calculate h(a) + k(a).
-3*a - 1
Let i(q) = -5*q**2 + 11*q - 11. Let g(b) be the second derivative of b**4/6 - 2*b**3/3 + 2*b**2 + 2*b. Determine 11*g(a) + 4*i(a).
2*a**2
Let w(r) = 8*r**3 + 9*r**2 + 8*r + 8. Let f(s) = s**3 + s**2 + s + 1. Calculate -18*f(i) + 2*w(i).
-2*i**3 - 2*i - 2
Suppose 3*i = -2*o - 12 - 8, -2*o = i + 16. Let g = o + 3. Let f(v) = 6*v**3 + 21*v - 21. Let j(y) = -y**3 - 4*y + 4. What is g*f(z) - 21*j(z)?
-3*z**3
Let t(r) = 9*r**3 - 15*r**2 + 11*r. Let k be 0/(-4) + 0 - -14. Let s = -3 + k. Let g(c) = -5*c**3 + 8*c**2 - 6*c. Give s*g(n) + 6*t(n).
-n**3 - 2*n**2
Let p = -76 + 78. Let f(b) = -4*b - 2 + 12*b - 3. Let w(q) = -1 - 2*q + 0*q + 4*q. What is p*f(a) - 9*w(a)?
-2*a - 1
Let h(m) = 4*m**2 - 11*m. Let u(p) = -11*p**2 + 32*p. Give 8*h(o) + 3*u(o).
-o**2 + 8*o
Let v(o) = -2*o - 3. Let n be v(-4). Suppose 9*m - 4*m + n = 0. Let y(t) = -7*t**3 + 6*t**2 + 6*t - 6. Let u(a) = -a**3 + a**2 + a - 1. Give m*y(w) + 6*u(w).
w**3
Let s = -7 + 12. Let j be ((-3)/(-2))/(s/(-10)). Let q(c) = 1. Let k(y) = -2*y**3 - 3. What is j*q(a) - k(a)?
2*a**3
Let w(g) = g - 3. Let m(z) = 4*z**3 - 2*z + 1. Let a be m(1). Let u(h) = 2*h - 4. Suppose 3*f - 2*b - 26 = 8*f, 4*f = -b - 19. What is a*u(j) + f*w(j)?
2*j
Let o(n) = -6*n - 2. Let m(r) = 17*r + 6. Calculate 4*m(k) + 11*o(k).
2*k + 2
Let o(q) be the first derivative of q**3 - 4*q - 11. Let y(v) = -1. Calculate -o(m) + 5*y(m).
-3*m**2 - 1
Let h(f) = 3*f**3 + 3*f**2 + 4*f + 3. Let y(l) = -4*l**3 - 4*l**2 - 5*l - 4. Let k = -5 - -10. Give k*h(p) + 4*y(p).
-p**3 - p**2 - 1
Let y(a) be the third derivative of a**6/120 - a**5/60 + a**4/24 + a**3/6 + 4*a**2. Let b(c) = 2. Give b(m) - 2*y(m).
-2*m**3 + 2*m**2 - 2*m
Let b(i) = 4*i**2 + 4*i - 13. Let u(k) = -k**2 - k + 4. Let q = 0 + 7. What is q*u(v) + 2*b(v)?
v**2 + v + 2
Let f(v) = -11*v**2 + v. Let l(h) = -6*h**2 + h. Determine 4*f(w) - 7*l(w).
-2*w**2 - 3*w
Let d(l) = -6*l + 13. Let o be d(1). Let k(p) = 3*p - 13. Let j(a) = -2*a + 13. Let u(h) = 7*j(h) + 6*k(h). Let s(c) = c + 4. Give o*s(r) - 2*u(r).
-r + 2
Let h(a) = -22*a + 21*a + 2 + 0. Let y(w) = 30*w - 35. Let k(t) = -t + 1. Let c(b) = 25*k(b) + y(b). Let u be (0 - 1)/(2/22). Determine u*h(r) - 2*c(r).
r - 2
Let z(y) = -2*y + 4 + 8 - 11. Let q(p) = 2*p - 1. Determine 5*q(j) + 6*z(j).
-2*j + 1
Let n(t) = 1. Let s(o) = 3*o - 1. Let a be s(2). Suppose -5*q = -a*z + 30, -3*z + 15 = 2*z - 2*q. Let d(r) = 5 - 4 + 3*r - 5 - 5*r. Give z*d(p) + 6*n(p).
-2*p + 2
Let t(h) = -h**3 - 3*h. Suppose 2*j + 12 = -0*j. Let c(s) = s**3 + 5*s**2 - 11*s. Let o(r) = r**3 + r**2. Let y(b) = -c(b) + 5*o(b). Determine j*y(q) - 22*t(q).
-2*q**3
Let u(z) = -11*z + 17. Let l(w) = -2*w + 9. Let o(f) = 1. Let j(i) = l(i) - 6*o(i). Give -34*j(s) + 6*u(s).
2*s
Let a(p) = p**3 - p**2 + p. Let z(o) = -5*o**3 + 7*o**2 - 6*o. Suppose -y - 16 = -10. What is y*a(g) - z(g)?
-g**3 - g**2
Let i(k) = 5*k + 3. Let o(m) = -m. Let l(c) = c**3 - c**2 + c + 1. Let h be l(0). Let j(v) = -14*v - 16. Let b(z) = h*j(z) + 12*o(z). What is 3*b(s) + 16*i(s)?
2*s
Let t(u) = -7*u - 7. Let z(d) = 20*d + 20. What is -11*t(x) - 4*z(x)?
-3*x - 3
Let t(v) = -6*v**2 + 5*v + 4. Suppose -4*l - 5*c = -27, -2*l + l - 5*c + 18 = 0. Let i(q) = 5*q**2 - 4*q - 3. Give l*t(f) + 4*i(f).
2*f**2 - f
Let o(x) be the second derivative of x**3/6 - x**2/2 + 6*x. Let q(l) = -l + 5. Give 2*o(s) + q(s).
s + 3
Suppose -2*g - 5*h + 4 = -25, 3*h - 11 = 2*g. Suppose -5*a + 6*a - 3 = 0. Let j(m) = a*m - 5*m + 4 + 3*m. Let z(x) = -2. Calculate g*j(p) + 5*z(p).
2*p - 2
Let x(d) = 2*d**3 - 8*d**2 + 7*d - 5. Suppose 0 = 11*m - 24 - 20. Let t(p) = -p**3 + 4*p**2 - 4*p + 3. Give m*x(j) + 7*t(j).
j**3 - 4*j**2 + 1
Let h(u) = 5*u - 7. Let c(x