2. Let g(p) be the first derivative of 4/3*p**3 - 5*p - 12 + 9/2*p**2. Determine 4*g(y) + 9*j(y).
-2*y**2 - 2
Let h(a) = 10*a**3 + a**2 + 6*a + 7. Let t(u) be the third derivative of 11*u**6/120 + u**5/60 + 7*u**4/24 + 4*u**3/3 - 20*u**2. Give 7*h(p) - 6*t(p).
4*p**3 + p**2 + 1
Let z(l) = -2*l**2 + 2*l - 5. Let r(g) = -g**2 + g. Let h(u) = -4*u**2 + 3*u + 4. Let a(q) = -h(q) + 5*r(q). Calculate -3*a(f) + 2*z(f).
-f**2 - 2*f + 2
Let q(u) = 6 + 10 - 14. Let v = -12 + 14. Let y(f) = f + 5. What is v*y(r) - 5*q(r)?
2*r
Let g be 3/2 - 3/2. Suppose 0 = -g*n + 3*n + 6. Let h(x) = 3*x**2 - x. Let a(u) = -u**2 - 1. Determine n*a(q) - h(q).
-q**2 + q + 2
Let u(i) = -4*i**3 + i. Let d(c) be the first derivative of 5*c**4/4 - c**2 - c - 62. Calculate 2*d(k) + 3*u(k).
-2*k**3 - k - 2
Suppose -2*t - 6*y = -8*y + 6, 3*y = 5*t + 23. Let f = 14 - 10. Let s(n) = -5*n + 3*n + 11*n - 4. Let c(z) = 5*z - 2. Give f*s(p) + t*c(p).
p - 2
Let j(f) = -2*f**2 - 2*f + 6. Let o(i) = -5*i**2 - 3*i + 12. What is -7*j(x) + 3*o(x)?
-x**2 + 5*x - 6
Suppose 0*q = p - q - 30, -p - 4*q + 55 = 0. Let o be p/11 - 12/66. Let n(j) = -2*j**3 - 2*j**2 - 3*j. Let w(c) = -4*c**3 - 3*c**2 - 5*c. Give o*w(i) - 5*n(i).
-2*i**3 + i**2
Let c(w) = -457*w - 1. Let z(k) = -152*k. Give 2*c(a) - 7*z(a).
150*a - 2
Let j(c) = 47*c + 9. Let m be ((-18)/8)/(((-300)/(-48))/25). Let t(i) = -12*i - 2. Give m*t(r) - 2*j(r).
14*r
Let k(a) = a**3 - 6*a**2 - 6. Let p(u) = u**3 + 3*u**2 + 2. Let q be p(-3). Let f(l) = -1 + 4*l**2 - 9*l**2 + 4*l**q. What is -6*f(i) + k(i)?
i**3
Let i(n) be the second derivative of -11*n**4/12 - 5*n**3/6 + 5*n**2/2 - 1048*n. Let q(r) = 56*r**2 + 24*r - 24. What is -24*i(x) - 5*q(x)?
-16*x**2
Let z(f) = -275*f**2 + 9. Let s(p) = -3574*p**2 + 114. Determine 6*s(b) - 76*z(b).
-544*b**2
Let f(x) be the first derivative of 14*x**2 - 7*x**2 + 11 - 3 - 5*x**2 - x. Let k(v) = v. Determine f(o) - 3*k(o).
o - 1
Let q(l) = l**3 + l**2 + 2*l + 3. Let m(i) = -2*i**3 - 2*i**2 - 5*i - 8. Calculate -3*m(g) - 8*q(g).
-2*g**3 - 2*g**2 - g
Let o(v) = -3*v**2 - 26*v - 9. Let n(w) = -6*w**2 - 52*w - 16. Calculate -3*n(q) + 5*o(q).
3*q**2 + 26*q + 3
Let p(g) = g**2 - 3*g - 14. Let k(j) = j**2 - 7*j - 29. Calculate 2*k(o) - 5*p(o).
-3*o**2 + o + 12
Let t(w) = 39*w - 390. Let m(h) = h - 2. What is 195*m(o) - t(o)?
156*o
Let q(w) = 2*w**2 + 8*w + 2. Let v(k) = -4*k - 18. Let i(f) = -f - 6. Let c(x) = -3*i(x) + v(x). Give 10*c(s) + q(s).
2*s**2 - 2*s + 2
Let t(h) = 6*h**3 + 4*h**2 - 2. Let n(k) = -14*k**3 - 7*k**2 + 4. Let v(f) = f**3 - 2*f**2 - f + 1. Let m(y) = n(y) + v(y). What is -4*m(p) - 9*t(p)?
-2*p**3 + 4*p - 2
Let w(m) = -40*m**2 - 5 + 5 + 5*m + 21*m**2 + 5. Let a(j) = 10*j**2 - 3*j - 3. Give 5*a(f) + 3*w(f).
-7*f**2
Let n(f) = f - 16. Let s(b) = 3. Let k(r) = r - 28. Let g be k(17). Determine g*s(p) - 2*n(p).
-2*p - 1
Let z(c) = -3*c + 48. Let d be z(18). Let a(q) = 10*q**3 - 6*q - 1. Let i(p) = -21*p**3 + 13*p + 2. Give d*i(t) - 13*a(t).
-4*t**3 + 1
Let u(x) = -x + 5. Let b be u(9). Let z(s) = -2 + 2 + 1 + 4 + 9*s**2. Suppose 22 = -3*y - 2*v - 9, 1 = -3*y + 4*v. Let g(n) = -5*n**2 - 3. Give b*z(o) + y*g(o).
-o**2 + 1
Let s = -7 - -9. Suppose 1 = -s*y + 5. Let a be -2 + 0 - (-2 + y). Let q(u) = 2*u**3 + 2*u**2. Let g(c) = c**2. Determine a*g(h) + q(h).
2*h**3
Let v(o) = 42*o**3 - 14*o + 22. Let l(g) = -14*g**3 + 4*g - 7. Determine -7*l(j) - 2*v(j).
14*j**3 + 5
Let u(h) = -4*h**2 - 9. Let a(g) = -4*g**2 - g - 6. Give 3*a(z) - 2*u(z).
-4*z**2 - 3*z
Let c(y) = -y**3 - 6*y + 5. Let u = 10 + -5. Let b be (10/2)/(u - 6). Let z(w) = w**3 + 5*w - 4. Suppose 6*k = 5*k - 4. What is b*z(t) + k*c(t)?
-t**3 - t
Let r(m) = 10*m + 49. Let g(b) = 9*b + 49. Determine 6*g(u) - 5*r(u).
4*u + 49
Suppose -4*f + 3*z + 32 = -2*z, 7 = 5*f + 2*z. Let i(n) = -3*n - 10 - n + f*n + 12. Let x(h) = 5 - 2 - 1 - h. Give -3*i(t) + 2*x(t).
t - 2
Let q(h) = -3. Let v(a) = -3*a - 1. Give 6*q(m) + v(m).
-3*m - 19
Let p(h) = -2*h**3 + 49*h**2 + 7*h. Let v(f) = -f**3 + 33*f**2 + 5*f. What is -5*p(k) + 7*v(k)?
3*k**3 - 14*k**2
Let h(i) = 40*i - 19. Let f(u) = -5. Calculate -2*f(d) + h(d).
40*d - 9
Let q(p) = 4*p**2 + 15*p - 13. Let x(o) = -5*o**2 - 19*o + 13. Determine 4*q(s) + 3*x(s).
s**2 + 3*s - 13
Let f be (-10390)/170 + 9 + 4/34. Let a(d) = -273*d**3 + 52*d**2 - 52. Let q(z) = -26*z**3 + 5*z**2 - 5. Determine f*q(m) + 5*a(m).
-13*m**3
Let o(w) = -5*w**3 + 4*w**2 - 3*w - 4. Let g(a) = -64*a**2 - 4 + 13 + 55*a**2 + 7*a + 10*a**3. Calculate -4*g(i) - 9*o(i).
5*i**3 - i
Let o(q) = -5 + 2*q + 1 + 0. Let g = 105 - 99. Let d(y) = 2. Let p(s) = -13. Let x(n) = g*d(n) + p(n). Calculate -o(f) + 3*x(f).
-2*f + 1
Let n(m) = 12*m**3 + 3*m**2 - m + 2. Let s(h) = 11*h**3 + 4*h**2 - 2*h + 2. Calculate 4*n(o) - 3*s(o).
15*o**3 + 2*o + 2
Let v(d) = -15*d**2 - 7*d - 2. Let y(m) = -10*m**2 + 2 + 2 + 2*m**2 - 1 - 4*m - 4. Calculate -4*v(a) + 7*y(a).
4*a**2 + 1
Let t(i) = 2*i + 73. Let b(r) = r + 75. Determine 4*b(n) - 3*t(n).
-2*n + 81
Let o(i) = 4*i**2 + 2*i**3 - 2 - 34*i + 34*i + 0*i**2. Let j(s) = s**2 - 1. Calculate -2*j(t) + o(t).
2*t**3 + 2*t**2
Let l(u) = -28*u**2 + 4*u + 7. Let c(f) = -26*f**2 + 4*f + 6. Determine -8*c(j) + 7*l(j).
12*j**2 - 4*j + 1
Let s(p) = -13*p + 7. Let v(z) = 53*z - 13. Let h(x) = -18*x + 4. Let w(t) = 11*h(t) + 4*v(t). Determine 6*s(m) + 5*w(m).
-8*m + 2
Let k(q) = 8*q**2 + 3*q - 4. Let p(a) = -3*a**2 + a + 1. Determine -2*k(i) - 4*p(i).
-4*i**2 - 10*i + 4
Let g(f) be the first derivative of f**2/2 + 62. Let q(z) = 1. Give 3*g(i) - 2*q(i).
3*i - 2
Let m(c) = 3*c + 2. Let r = 1 - 3. Let a(b) = 1. Calculate r*a(l) + m(l).
3*l
Let t(y) = 3. Let l(s) = -49*s - 10. Calculate -l(x) - 2*t(x).
49*x + 4
Let x(w) = -w - 2. Let g(i) = 5*i + 16. What is 3*g(y) + 21*x(y)?
-6*y + 6
Let s(i) = -4*i**3 + 5*i**2 + 6*i + 7. Let m(u) = 2*u**3 - 2*u**2 - 4*u - 3. Determine -7*m(n) - 3*s(n).
-2*n**3 - n**2 + 10*n
Let o(m) be the third derivative of -m**6/60 + 11*m**4/24 - m**3/6 + 9*m**2 - 3*m. Let y(x) = -x**3 + 5*x. Calculate 3*o(r) - 7*y(r).
r**3 - 2*r - 3
Let m = 85 + -65. Let j(r) = -6*r**3 + 10*r + 6*r**2 - m*r**3 + r + 5*r**2. Let c(x) = -5*x**3 + 2*x**2 + 2*x. Determine 11*c(d) - 2*j(d).
-3*d**3
Let y(h) = -13*h**2 + 2*h + 71. Let v(z) = -5*z**2 + z + 24. Give -11*v(r) + 4*y(r).
3*r**2 - 3*r + 20
Let j(i) be the first derivative of -i**4/4 + 2*i**3 - 2*i**2 - 2*i - 432. Let n(r) = -r**2 + r + 1. Let p = -6 + 2. Determine p*n(m) - j(m).
m**3 - 2*m**2 - 2
Let y(p) = p**3 + p + 1. Let k = 22 + -24. Let f(m) be the second derivative of m**3/3 + m**2 + 140*m. What is k*y(v) + f(v)?
-2*v**3
Let m(b) = -b**2 + 1. Let f(l) = 2*l**2 - 1. Suppose 0 = 3*t + 3*k - 15, -k - 1 = 4*t - 9. What is t*f(n) + 3*m(n)?
-n**2 + 2
Let j(q) = -3*q - 8. Let x(l) be the first derivative of l - 4206. Let a = 35 + -21. Calculate a*x(r) + 2*j(r).
-6*r - 2
Let l(r) = 2116*r**2 - 10*r - 10. Let q(u) = 1058*u**2 - 6*u - 6. Give 3*l(g) - 5*q(g).
1058*g**2
Let h(c) = -7*c. Let y = 2 - -7. Let z(s) = -29*s + 1. Let j be ((-80)/50)/(-2)*10/(-4). What is j*z(q) + y*h(q)?
-5*q - 2
Let f(w) = -7*w**3 + 6*w**2 - 7*w + 6. Let r(h) be the first derivative of -1/2*h**2 - 12 + h - 1/4*h**4 + 1/3*h**3. Give f(v) - 6*r(v).
-v**3 - v
Let f(c) = -c**3 + 20*c**2 + c - 22. Let y be f(20). Let m(b) = -4*b**3 - 2*b**2 + b + 1. Let a(t) = -5*t**3 - 3*t**2 + 1. What is y*a(o) + 3*m(o)?
-2*o**3 + 3*o + 1
Let y(t) = -3*t + 36. Let l(x) = 13*x - 143. Determine -4*l(d) - 18*y(d).
2*d - 76
Let m(c) = c**3 + 38*c**2. Let a(s) = 2*s**3 + 75*s**2. What is -6*a(x) + 10*m(x)?
-2*x**3 - 70*x**2
Let k(w) = -4*w**3 + 2*w + 2. Let l(o) = -3*o - 15. Let a be l(-6). Let c(t) = -t + 0*t**a + 4*t**3 - t**3 - 2*t**3 - 1. What is -2*c(v) - k(v)?
2*v**3
Let x(s) = 20*s + 6. Let c(v) = 2 + 3*v + 0 + 4*v. Let g = -21 - -23. Let j be ((-1)/(-1) - g)*17. Calculate j*c(o) + 6*x(o).
o + 2
Let r be (3 - 205/(-30)) + (-2)/(-12). Suppose -l - 9 = -r. Let b(o) = o**3 + o**2 - 1. Let f(m) = -m**3 - 3*m**2 + 4. Give l*f(c) + 2*b(c).
c**3 - c**2 + 2
Let j(w) = -4*w + 71. Let h be j(18). Let q(a) = a. Let p(x) = 4*x. Let y = 18 + -10. Calculate h*p(s) + y*q(s).
4*s
Let l(w) = -w. Let n(x) = 3*x. Let r(y) = -3*y - 40. Let q be r(-12). Let d(g) = 8*g. Let m(u) = q*d(u) + 11*n(u). Calculate -3*l(f) - 4*m(f).
-f
Let