(i).
-4*i - 1
Let h(n) = 8*n**2 - 6*n + 20. Let k(q) = 3*q**2 - 2*q + 7. Suppose 5*y = -36 - 34. Give y*k(v) + 5*h(v).
-2*v**2 - 2*v + 2
Let a(u) be the second derivative of -u - 1/2*u**4 + 3*u**2 + 7/20*u**5 + 0 + u**3. Let q(s) = 20*s**3 - 17*s**2 + 17*s + 17. Calculate -17*a(o) + 6*q(o).
o**3
Let h(x) = x + 1. Let r be h(4). Suppose 2*g + 3*w + 5 = -2, 0 = 4*g + 3*w + r. Let o(t) = -1. Let n(u) = -2*u - 1 - 7 + 2. Calculate g*n(d) - 4*o(d).
-2*d - 2
Let y(l) = -9*l**2 + 3*l + 2. Let s(o) = -4*o**2 - 5*o + 11. Let j(x) = -x**2 - 2*x + 4. Let g(q) = 8*j(q) - 3*s(q). Calculate 7*g(a) + 3*y(a).
a**2 + 2*a - 1
Let o(a) = a**2 - a. Let s(i) = 114 - 114 - 2*i + 5*i**2. Determine 2*o(n) - s(n).
-3*n**2
Let q(p) = -2*p**2 + 2*p - 2. Suppose 0 = -6*c - 23 - 7. Let u(b) be the third derivative of b**5/15 - 5*b**4/24 + 5*b**3/6 - b**2. What is c*q(n) - 2*u(n)?
2*n**2
Let j(h) = -11*h**3 - 8*h**2 + 17*h - 8. Let x(m) = 4*m**3 + 3*m**2 - 6*m + 3. Determine 3*j(l) + 8*x(l).
-l**3 + 3*l
Let o(i) = i**2 + 4*i - 3. Let j(r) = 2*r**2 + 4*r - 4. Calculate 3*j(v) - 4*o(v).
2*v**2 - 4*v
Suppose 5*h - 16 = 3*h + 4*o, 2*h = 5*o + 19. Suppose -h*p - 15 = p. Let n(g) = -4*g - 4. Let l be 40/8*(-6)/10. Let x(y) = 7*y + 7. Calculate l*x(i) + p*n(i).
-i - 1
Let h(q) = 9*q**3 + 2*q**2 - 2*q - 2. Let t(j) = 17*j**3 + 5*j**2 - 5*j - 5. What is 10*h(r) - 4*t(r)?
22*r**3
Let s(v) = 2*v - 4. Let q = -30 + 19. Let b(k) = -6*k + 11. Suppose -4*j - 8 = 3*h, j + 0*j - 3*h + 17 = 0. Let g be 2/j + (-54)/15. What is g*b(c) + q*s(c)?
2*c
Let r(k) = k**2 - k. Let p(u) = -3*u**2 + 4*u - 19. Determine p(b) + 2*r(b).
-b**2 + 2*b - 19
Suppose 3*x + 0 = 33. Suppose 2*y = -2, -3*y + 5 + 4 = 3*b. Let q(d) = 2*d**3 - 2*d**2 - 6*d. Let p(l) = -6*l**3 + 5*l**2 + 17*l. Determine b*p(f) + x*q(f).
-2*f**3 - 2*f**2 + 2*f
Let c(z) = 1. Let o(a) = -2*a + 15. Let v = 9 + -3. Let n(y) = v*c(y) - o(y). Let h(p) = -p + 4. Give -9*h(x) - 4*n(x).
x
Let u(a) = -6*a**3 + 4*a**2 + 4*a + 4. Suppose -2*q = 6*q + 32. Let c = -1 + 2. Let w(d) = -d**3 + d**2 + d + 1. Give c*u(i) + q*w(i).
-2*i**3
Let r(i) = -2*i**3 + 2*i**2 + 2. Let g(p) be the first derivative of -p**3/3 - p - 7. Let u be (6 - 0)*(-1)/3. What is u*g(l) - r(l)?
2*l**3
Let d(x) = -3*x**2 - 6*x - 2. Let a(f) = -f**2. Determine 4*a(u) - d(u).
-u**2 + 6*u + 2
Let v(a) = a**2 - 1. Let b(r) = r**3 + 2*r**2 - 48. Calculate b(z) - 2*v(z).
z**3 - 46
Let i(r) = r + 1. Let f(w) = 7*w + 4. Let n(k) = -f(k) + 6*i(k). Let b(t) = -3*t + 4. Determine 3*b(q) - 7*n(q).
-2*q - 2
Let d(m) = -12*m**3 + 9*m**2 - 8*m. Let p(y) = 3*y**3 - 2*y**2 + 2*y. Suppose 0 = 4*g - 3*g - 9. Calculate g*p(h) + 2*d(h).
3*h**3 + 2*h
Suppose 0*i - i = -21. Let q = i - 14. Let x(d) = q*d**2 + 2*d**3 + 6*d - 2*d + 4*d + 4*d**2. Let y(z) = -z**3 - 7*z**2 - 5*z. Give 5*x(l) + 8*y(l).
2*l**3 - l**2
Let k(p) = 7*p - 2. Let a(r) = r**2 - 7*r + 6. Let d be a(4). Let c(f) = -20*f + 6. Give d*c(w) - 17*k(w).
w - 2
Suppose -5*w = -0 - 5. Let y(c) = -2*c - c - w + 2*c. Let g(b) = b + 2. Determine 2*g(v) + 4*y(v).
-2*v
Let b(y) = 5*y + 1. Let n(v) = 1. Let a(h) = -b(h) + 3*n(h). Let o(w) = w - 1. Give a(s) + 2*o(s).
-3*s
Let i(q) = q**2 - 1. Let p(y) = 1. What is i(u) - 6*p(u)?
u**2 - 7
Let b(t) = 9*t**3 + 2*t**2 - 2. Let o(r) = -44*r**3 - 11*r**2 + 11. Give -11*b(k) - 2*o(k).
-11*k**3
Let z(o) = 6*o**3 + 11*o**2 + 5. Let w(x) = -9*x**3 - 17*x**2 - 8. Give -5*w(s) - 8*z(s).
-3*s**3 - 3*s**2
Let m(l) = l. Let q(c) = -c - 4. Let i(s) = -4*m(s) + q(s). Let g(y) = -6*y - 5. Let a = 2 + -5. What is a*g(f) + 4*i(f)?
-2*f - 1
Suppose -65 = -8*j + 3*j. Let h(y) = j*y + 2 + 2 + 0 + 4. Let n(m) = -3*m - 2. Calculate -2*h(a) - 9*n(a).
a + 2
Let b(k) = -9*k. Let h(d) = -2*d. What is 4*b(w) - 22*h(w)?
8*w
Let y(d) = 3*d**2 + 3 - 2*d**2 - 2 - d. Let m(r) = 8*r**2 - 4*r + 8. Calculate -m(l) + 6*y(l).
-2*l**2 - 2*l - 2
Let p(y) = 1. Let m(j) = 1. Let g(z) = -m(z) + 3*p(z). Let d(w) = -w**2 - w + 11. What is -2*d(q) + 11*g(q)?
2*q**2 + 2*q
Let a(p) = 6*p**2 - 4*p - 3. Let r(q) = q**3 + q**2 - q + 1. Let g be r(0). Let b(c) = c - c**2 + c**2 + 5*c**2 + 1 - 6*c**2. Calculate g*a(y) + 4*b(y).
2*y**2 + 1
Let t(r) be the second derivative of r**5/4 + r**3/6 + 3*r**2 + 42*r. Let o(d) = 14*d**3 + 3*d + 17. Determine -4*o(h) + 11*t(h).
-h**3 - h - 2
Let y(a) = -6*a**2 - 3*a. Let b(c) = -11*c**2 - 5*c. Calculate 3*b(o) - 5*y(o).
-3*o**2
Suppose -3*v = -4*v + 1. Let z be (0 - 1)*(5 - v). Let y(r) = -8*r**3 + 5*r + 6. Let u(k) = -7*k**3 + 4*k + 5. What is z*y(h) + 5*u(h)?
-3*h**3 + 1
Let u(v) = 2*v - 2. Let j(q) = -2*q + 2. Suppose -3*g = s - 15, -4*s + 8*s + 3*g = 24. Suppose 2*i - 1 = -y - 0*i, 0 = -2*y + s*i + 9. Give y*j(o) + 4*u(o).
2*o - 2
Let b(y) = -y + 13. Let j(v) = 7. Determine -2*b(o) + 5*j(o).
2*o + 9
Suppose 5*d - 2*a = 6 - 3, -4*d + 5 = a. Suppose 0 = 2*m - 1 - 1. Let f(o) = -7 + d + m + 8*o. Let s(h) = -7*h + 4. Calculate 5*f(u) + 6*s(u).
-2*u - 1
Let k(p) = -3*p - 34. Let r(w) = -10*w - 101. Determine 7*k(l) - 2*r(l).
-l - 36
Let b(z) = -2*z**3 + 2*z**2 + 2*z + 2. Let y(a) = -2*a**3 + 3*a**2 + 2*a + 3. Calculate -3*b(p) + 2*y(p).
2*p**3 - 2*p
Let m(l) = 2*l + 2. Let z be 1/(-3) - 10/(-30). Let k = 17 + -11. Suppose -3*x + 6*x + k = z. Let w(a) = -a**2 - 3*a - 3. What is x*w(u) - 3*m(u)?
2*u**2
Let k = -5 + 7. Let m(q) = 10 + q - 10 + q**k. Let r(c) = 9*c + 4. Let l(a) = a**2 + 26*a + 11. Let u(w) = -4*l(w) + 11*r(w). Give 10*m(j) + 2*u(j).
2*j**2
Let v be 4 - (12/3 - 1). Let o(i) = -i + 1. Let r(f) = -2*f**3 - 4*f + 5. Determine v*r(j) - 5*o(j).
-2*j**3 + j
Let y(t) = 7*t + 5*t - 2*t - 3*t. Let v(a) = -8*a. Suppose 0 = -5*b + 2*p - 24, -2*b + 3*p - p = 12. Determine b*v(i) - 5*y(i).
-3*i
Let s(d) = -4*d**3 + 6*d**2 - 12*d + 5. Let l(g) = -3*g**3 + 5*g**2 - 13*g + 4. Give 5*l(k) - 4*s(k).
k**3 + k**2 - 17*k
Let c(s) = 5 - 2*s**2 - 6*s + s - s**2 - 2. Let q(k) = -19*k**2 - 11*k + 12. Let w(t) = -13*t**2 - 7*t + 8. Let z(n) = 5*q(n) - 7*w(n). What is 6*c(a) - 5*z(a)?
2*a**2 - 2
Let o(i) = -9*i**3 + 7*i**2 - 7. Let t be -7 - ((-4)/(-2) - 2). Let g be 2*(-3)/(-2) + 1. Let m(p) = -5*p**3 + 4*p**2 - 4. Calculate g*o(j) + t*m(j).
-j**3
Let n(d) = -2*d**3 + 4*d**2 - 4*d. Let a = 12 - 7. Let s be 8 + 4*(3 - 4). Let m(i) = 3*i**3 - 5*i**2 + 5*i. What is a*n(k) + s*m(k)?
2*k**3
Let u(g) = g + 2. Let f(b) be the third derivative of b**3/6 + 7*b**2. Let s be (1*-2)/(-2) + 0. Calculate s*u(c) - f(c).
c + 1
Let u(v) = -17*v**3 + 7*v**2 - 5*v. Let o(z) = -52*z**3 + 22*z**2 - 16*z. Calculate -5*o(f) + 16*u(f).
-12*f**3 + 2*f**2
Let b(r) = -9*r + 1. Let w be b(2). Let t(g) = 6*g**3 + 17*g**2 - 17*g + 17. Let o(d) = 2*d**3 + 6*d**2 - 6*d + 6. Determine w*o(u) + 6*t(u).
2*u**3
Let b(u) = 5*u - 1. Suppose -4*l - 4 = -3*l. Let v = 2 - l. Let c(y) = -y. Determine v*c(p) + b(p).
-p - 1
Let t be (16/6 - 1)*-3. Let s(g) = -6*g**2 + g + 2. Let f(w) = -2*w + 9*w**2 - 3 - 3*w - 2*w**2 + 4*w. Give t*s(p) - 4*f(p).
2*p**2 - p + 2
Let w(d) be the first derivative of d + 4. Let m(j) = -2*j + 2. Give m(p) - 2*w(p).
-2*p
Let n(y) = y**3 - 8*y**2 + 7*y - 6. Let u be n(7). Let f(g) = 8*g**2. Let c(z) be the second derivative of 7*z**4/12 - 8*z. Calculate u*f(x) + 7*c(x).
x**2
Let q(u) = -2*u**2 + 7*u. Let x(w) be the third derivative of w**5/30 - w**4/4 + 19*w**2. Let i = -5 - 1. Give i*x(n) - 5*q(n).
-2*n**2 + n
Let m(g) = 8*g + 0 - 9*g + 1. Let r(z) = -z**2 - 2*z + 3. Let x(l) = -l**3 + l + 4. Let w be x(0). What is w*m(h) - r(h)?
h**2 - 2*h + 1
Let w(c) = -19*c**3 - 17*c**2 - 14. Let u(r) = -6*r**3 - 6*r**2 - 5. Determine 17*u(a) - 6*w(a).
12*a**3 - 1
Let o(r) = r**2 - r - 1. Let v(m) = -7*m**2 + m + 2. Determine -2*o(k) - v(k).
5*k**2 + k
Let m(r) = -2*r + 8. Let v be 4*(-1)/(-2 - -1). Suppose -v*s - 20 = 4. Let f(i) = -2*i + 7. Calculate s*f(h) + 5*m(h).
2*h - 2
Let v = 13 + -8. Let r(j) = 8*j**2 - j + 8. Let f(g) = 2*g - 3. Let i be f(3). Suppose -8 = i*z + 10. Let m(u) = 7*u**2 - u + 7. What is v*r(h) + z*m(h)?
-2*h**2 + h - 2
Let g(d) = -18*d**2 - 2*d + 2. Let u(x) = -x**2 - x. Determine -g(y) + 4*u(y).
14*y**2 - 2*y - 2
Let y(d) = -11*d - 23. Let f(x) = 5*x + 11. Let s(g) = 13*f(g) + 6*y(g). Let l(i) = -i + 4. Calculate 5*l(a) - 4*s(a).
-a
Let q(o) be the first derivative of -5 + 4*o**2 - 2*o**2 - 5*o**2 - 4*o. Let d(p) = -17*p - 1