 2*o - 2. Let l(g) be the second derivative of 11*g**4/12 - 4*g**3/3 - 9*g**2/2 + 83*g. Determine 2*l(v) - 9*w(v).
-5*v**2 + 2*v
Let i(a) = 41*a**3 + 17*a**3 + 5*a**2 - 56*a**3 - 3*a. Let u(q) = 6*q**3 + 14*q**2 - 8*q. Determine 17*i(d) - 6*u(d).
-2*d**3 + d**2 - 3*d
Let t(a) = -1. Let l(w) = 3 + 2 + 0*w - 2*w - 3*w + 4*w. Let m be 1/(2/8) + 0. Calculate m*t(p) + l(p).
-p + 1
Let u(m) = 3*m**3 + 7*m**2 + 7*m + 11. Let j(q) = q**3 + 3*q**2 + 3*q + 5. Let y(z) = z**3 + 2*z**2 - 3*z - 3. Let a be y(-3). Give a*u(h) + 7*j(h).
-2*h**3 + 2
Let b = 8 - 7. Suppose -3*d + a + 4*a - 34 = 0, -d + 7 = 2*a. Let y(j) = 1. Let z(f) = -f + 2. Calculate b*z(n) + d*y(n).
-n - 1
Let h(j) = 3*j**2 - 6*j - 5. Let o(p) be the second derivative of p**3/6 + p**2/2 + 16*p + 1. Give -h(a) - 5*o(a).
-3*a**2 + a
Let i(o) = o**2. Let m(v) be the second derivative of -3*v**5/5 - v**4/4 + 163*v. Give -3*i(d) - m(d).
12*d**3
Let c(p) = p**3 - 11*p**2 - 5*p - 2. Let k(n) = 8*n**2 - 4*n - 2. Let x(h) = -7*h**2 + 2*h + 1. Let u(l) = 2*k(l) + 3*x(l). Give 2*c(w) - 5*u(w).
2*w**3 + 3*w**2 + 1
Let l(x) = -40*x**2 + 27*x. Let j(c) = -20*c**2 + 13*c. Calculate 13*j(s) - 6*l(s).
-20*s**2 + 7*s
Let h(a) = -881011*a - 9 + 9 + 881010*a. Let x(z) = 2*z**2 - z + 3. Let s(q) = q**2 - q + 2. Let j(w) = 3*s(w) - 2*x(w). Give -5*h(p) + 3*j(p).
-3*p**2 + 2*p
Let t(m) = -91*m**3 + 11*m**2 + 4*m + 11. Let s(c) = 18*c**3 - 2*c**2 - c - 2. What is -11*s(h) - 2*t(h)?
-16*h**3 + 3*h
Let y(h) = h + 6. Let k(p) be the first derivative of -5 + 3*p**2 - 4*p**2 + 13*p + 2*p**2. Suppose 1 = 2*f - 11. What is f*k(c) - 13*y(c)?
-c
Let b(n) be the third derivative of -n**4/12 + 3*n**2 + 16. Suppose -q = -2*l + 10, q + 3*q - 4*l + 24 = 0. Let p(v) = -v**2 + 6*v - 1. What is q*p(m) - 6*b(m)?
2*m**2 + 2
Let m = 13 + -7. Let d(c) = c. Let q(j) = 7*j + 2. Let s(t) = -13*t - 3. Let n(y) = -5*q(y) - 3*s(y). Calculate m*d(a) - n(a).
2*a + 1
Let f(k) = -23*k**3 + 3*k**2 + 3*k - 6. Let n(t) = 24*t**3 - 4*t**2 - 4*t + 7. Determine -4*f(q) - 3*n(q).
20*q**3 + 3
Let y(f) be the first derivative of 3*f**2 + 2*f + 2. Let z(l) = 17*l + 6. Calculate 8*y(s) - 3*z(s).
-3*s - 2
Let s(h) = -6*h**3 + 5*h**2 - 10*h. Let d(i) = 7*i + i**2 - 4*i**2 - 49*i**3 + 53*i**3. Give -7*d(y) - 5*s(y).
2*y**3 - 4*y**2 + y
Let q(b) = 18. Let p(m) = m. What is -p(l) - q(l)?
-l - 18
Let u(b) = -23*b**2 + 4*b + 2. Let k(y) = 46*y**2 - 10*y - 4. What is -2*k(z) - 5*u(z)?
23*z**2 - 2
Let b(g) = -2*g**2 + 0*g - g + 3*g - 3. Let a(c) be the first derivative of -c**3 + c**2 - 4*c + 5. Suppose -16 = 6*o - 2*o. Determine o*a(p) + 5*b(p).
2*p**2 + 2*p + 1
Let j(u) = 3*u + 4. Let c = 14 - 10. Suppose -g + 0*g = -c. Let o(y) be the third derivative of y**4/6 + 5*y**3/6 - 408*y**2. What is g*o(v) - 5*j(v)?
v
Let z(u) = 3*u + 1. Let f(s) = -s**2 - 6*s - 7. Let h be f(-5). Let k(l) = -l - 1. Let a be -6 - (-9 + 2 + 5). Give a*k(g) + h*z(g).
-2*g + 2
Let g(a) = 5*a**2 - 5*a - 4. Let k(j) = j**2 - j - 1. Let z = 104 - 103. Give z*g(t) - 4*k(t).
t**2 - t
Let n(p) = -15*p**2 - 7*p - 9. Let g(o) = -32*o**2 - 15*o - 22. What is -6*g(y) + 13*n(y)?
-3*y**2 - y + 15
Let t(u) = -3*u**2 - 14*u - 10. Let m(d) = -3*d**2 - 15*d - 11. Give 5*m(a) - 6*t(a).
3*a**2 + 9*a + 5
Let m(v) = -2*v. Let c(r) = -10*r. Let b = -74 + 72. Calculate b*c(s) + 11*m(s).
-2*s
Let m(b) = 8*b**2 + b - 1. Let t be m(-1). Let g(x) = x**3 + 4*x**2 - 5. Let v(y) = -y**3 - 3*y**2 + 4. What is t*v(c) + 5*g(c)?
-c**3 + 2*c**2 - 1
Let s(d) = -51*d + 6. Let o(w) = -427*w + 207*w + 186*w + 4. Give -8*o(q) + 5*s(q).
17*q - 2
Let r(u) be the first derivative of -u**2/2 + 5*u - 2. Suppose -5*g + t = -21, -129 = -t - 135. Let h(i) = 2*i - 6. Determine g*r(x) + 2*h(x).
x + 3
Let v(b) = b**3 - b**2 + 1. Suppose -5*w + 28 = -2*k, -93*w = -88*w + 4*k - 4. Let l(h) = 17*h**3 - 4*h**2 + 2. Give w*v(c) - l(c).
-13*c**3 + 2
Let d(a) = 2*a**3 - 9*a**2 - 2*a - 2. Let h(p) = -2*p**3 + 12*p**2 + p + 3. Calculate -4*d(c) - 3*h(c).
-2*c**3 + 5*c - 1
Let d(h) = -105. Let f(c) = c + 14. Give 2*d(p) + 2*f(p).
2*p - 182
Let u(z) = 3*z**2 - 2. Let r(p) = 3*p**2 - 3. Suppose -25*x + 27*x - 6 = 0. Determine x*u(c) - 2*r(c).
3*c**2
Let c(z) = -50*z + 2. Let p(t) = t. Determine c(a) + 2*p(a).
-48*a + 2
Let q be ((-72)/16)/(45/(-20)). Let z(w) = 4*w**3 + 3*w**2 + 2*w + 2. Let i(l) = -15*l**3 - 13*l**2 - 9*l - 9. Determine q*i(r) + 9*z(r).
6*r**3 + r**2
Let a(i) = 2*i**2 + 3*i + 2. Let b(r) = -3*r**2 - 5*r - 7. Let h(q) = 2*q**2 + 3*q + 8. Let p(y) = 3*b(y) + 2*h(y). Determine 8*a(t) + 3*p(t).
t**2 - 3*t + 1
Let t(f) = 3*f - 27. Suppose 13*r - 44*r + 248 = 0. Let y(i) = -2*i + 18. What is r*y(x) + 5*t(x)?
-x + 9
Let a(o) = -19*o + 32. Let c(n) = -39*n + 66. Give 13*a(j) - 6*c(j).
-13*j + 20
Let k(t) = -t**2 - 20*t - 4. Let h(z) = -18*z - 5. Give -3*h(d) + 4*k(d).
-4*d**2 - 26*d - 1
Let v(o) = 3*o - 21. Let n(q) = -3*q + 19. Give -5*n(a) - 6*v(a).
-3*a + 31
Let r(c) be the first derivative of -2*c + 1/3*c**3 - 20 + 0*c**2. Let k(i) = 3*i**2 - 5. Give 2*k(o) - 5*r(o).
o**2
Let i(w) = w**2 - 2*w + 2. Let x(n) = -4*n**2 + 3*n - 3. What is 5*i(b) + 3*x(b)?
-7*b**2 - b + 1
Let m(f) = -2*f + 14. Suppose -28 = s - 8*s. Let q(p) = 2*p - 15. Calculate s*q(u) + 5*m(u).
-2*u + 10
Let a(i) = -444*i - 5. Let h(m) = 222*m + 3. Give -3*a(g) - 5*h(g).
222*g
Let w(j) be the third derivative of 13*j**6/120 + j**4/8 + j**3/2 + 6*j**2 - 1. Let y(o) = -64*o**3 - 14*o - 14. Give -14*w(s) - 3*y(s).
10*s**3
Let h(o) = 112*o**3 + 3*o - 5. Let b(z) = 224*z**3 + 7*z - 11. Calculate 3*b(n) - 7*h(n).
-112*n**3 + 2
Let r(j) = 8*j**2 - j - 4. Let s(x) = 3*x**2 - 1. Calculate 4*r(p) - 11*s(p).
-p**2 - 4*p - 5
Let u(p) = 6*p - 6*p + 8*p + 6. Suppose 14 = b + 4*d, 10 = d + 4*d. Let a(t) = -7*t - 5. Let f = -311 - -316. What is b*a(r) + f*u(r)?
-2*r
Let k(w) = -6*w - 73. Let u be k(-11). Let i(a) = 5*a**2 - 8*a + 5. Let p(f) = -6*f**2 + 9*f - 6. Calculate u*i(t) - 6*p(t).
t**2 + 2*t + 1
Let x(n) = -13*n**3 + 5*n**2 - 12*n + 7. Let l(m) = 12*m**3 - 4*m**2 + 11*m - 7. Let k(r) = 5*l(r) + 4*x(r). Let q(w) = -w**3 - w + 1. What is 3*k(v) + 21*q(v)?
3*v**3
Let o(d) be the second derivative of d**3/6 + 26*d - 2. Let y(k) = -4*k**2 - 28*k. Calculate -84*o(m) - 3*y(m).
12*m**2
Let u = -1052 + 1049. Let t(f) = -9*f - 2. Let w(z) = -10*z - 3. Calculate u*t(i) + 2*w(i).
7*i
Let q(l) = -2*l**3 + 3*l - 39*l**2 - 44*l**2 + 83*l**2. Let v(y) be the third derivative of -y**6/40 + y**4/6 + 2*y**2. Give 8*q(w) - 5*v(w).
-w**3 + 4*w
Let v(y) = -7*y**2 + 2*y - 5. Let p(g) = 5 + 2 - 3*g + 10*g**2 + 0. Let u(d) = -5*p(d) - 7*v(d). Let b(h) = h**2 - 2*h + 1. Give 2*b(q) + 3*u(q).
-q**2 - q + 2
Let c(h) = -7*h**2 + 6*h + 3. Let o(i) = -7*i**2 + 8*i + 2. Give -4*c(u) + 3*o(u).
7*u**2 - 6
Let c(f) = -2*f - 25. Let j(w) = -2*w - 23. Calculate -4*c(a) + 5*j(a).
-2*a - 15
Suppose -15*n + 51 = 6. Let f(v) = -7*v. Let t(i) = 36*i. What is n*t(y) + 14*f(y)?
10*y
Let k(b) = -6*b**2 + b - 5. Let j be ((-8)/8 - 4)*(-3)/(-3). Let t(v) = 5*v**2 + 4. Calculate j*t(y) - 4*k(y).
-y**2 - 4*y
Let d(b) = 6*b - 1. Let t(p) = 7*p - 2. Suppose a - 28 + 25 = 0. Determine a*t(w) - 4*d(w).
-3*w - 2
Let m(s) = 6*s**3 - 2. Let n(f) = 4*f**3 - 1143*f**2 + 3*f**3 - 3 + 1143*f**2. Calculate -6*m(t) + 4*n(t).
-8*t**3
Let s(u) = 7*u**3 + 5*u**2 - 5*u + 38. Let i(a) = a**3 + a**2 - a - 1. What is -5*i(l) + s(l)?
2*l**3 + 43
Suppose 3*s + 27 = -2*q + 21, 5*q - 2*s + 34 = 0. Let a(b) = -11*b**2 + 6*b. Let k(v) = 33*v**2 - 17*v. Calculate q*k(f) - 17*a(f).
-11*f**2
Let f(l) = 12*l**2 + 9*l + 2. Let r(x) = 11*x**2 + 10*x + 1. Give -2*f(h) + 3*r(h).
9*h**2 + 12*h - 1
Let p(b) = -2. Suppose -5*n - 67 = 43. Let y(o) = -3*o + 22. Calculate n*p(x) - 2*y(x).
6*x
Suppose 2*f = -2*f - f. Suppose 8*x - 3*x - h + 8 = f, 3*x + 9 = 2*h. Let i(p) = 0 - 3 + 4. Let z(q) = -2*q - 3. What is x*z(v) - i(v)?
2*v + 2
Let u(w) = w**2 + w - 1. Let g(q) = -q**3 - 2*q**2 - q - 1. Suppose 7*h + 4 = 3*h. Suppose -42 = 18*y - 24. Determine h*g(a) + y*u(a).
a**3 + a**2 + 2
Let x(c) = 4*c + 3. Let k(y) = -4*y - 4. Let t(j) = 2*j**3 - 33*j**2 + 14*j + 37. Let r be t(16). Give r*k(i) + 6*x(i).
4*i - 2
Let y(g) = 8*g**2 + 3*g + 18. Let c(b) = -11*b**2 - 2*b - 17. What is 2*c(h) + 3*y(h)?
2*h**2 + 5*h + 20
Let t(k) = 2*k + 4. Let l = 505 - 315. Let g(s) = 