5. Let h = -11 + 5. Let d(v) = -2*v + 4. Determine h*d(w) + 5*t(w).
2*w + 1
Let a(r) = -r**2 + 2*r + 1. Let g(b) be the second derivative of -1/3*b**4 + 2*b**2 + 5/3*b**3 - 5*b + 0. What is -14*a(i) + 3*g(i)?
2*i**2 + 2*i - 2
Let x(l) = 4*l**2 + 3*l + 5. Let z(r) = 7*r**2 + 5*r + 9. Let p be 2 + 3/(-3) - (-1 + -3). Determine p*x(n) - 3*z(n).
-n**2 - 2
Let n(c) = -18*c - 10. Let x(m) = -m - 1. Determine -2*n(b) + 20*x(b).
16*b
Let v(w) = 2*w**3 - 6*w**2 - 6*w + 6. Let b(q) = 5*q**3 - 17*q**2 - 17*q + 17. Calculate -6*b(s) + 17*v(s).
4*s**3
Let m(l) = l**2 + 1. Suppose 2*t + t - 6 = 0. Let w(k) = -6*k**2 - 12 - 8*k**2 + 0*k**t. What is -12*m(r) - w(r)?
2*r**2
Let r(b) be the second derivative of -2*b**3/3 + 7*b**2/2 + 44*b. Let m(f) = 9*f - 15. Suppose 3*t + c + 42 = 5, -3*t - 2*c - 35 = 0. Calculate t*r(l) - 6*m(l).
-2*l - 1
Let l(b) = -6*b + 3. Let o(k) = -k - 1. Determine l(j) + o(j).
-7*j + 2
Suppose -4*n = -y - 19, 2*n + 0*n - 8 = 2*y. Let j(h) = 1. Let k = -59 - -61. Let v(x) = -x - 3. What is k*v(a) + n*j(a)?
-2*a - 1
Let v(l) = -2*l + 2. Let m be 26/3 - (-13)/39. Let t(j) = -j**2 - 9*j + 8. Determine m*v(g) - 2*t(g).
2*g**2 + 2
Let u(o) = -69*o**3 - 24*o**2 - 24*o + 24. Let d(m) = -14*m**3 - 5*m**2 - 5*m + 5. What is 24*d(x) - 5*u(x)?
9*x**3
Let j(f) = f**2 - 5*f + 4. Let k = 4 - 2. Let b(o) = -2*o + o + k - o. What is 5*b(l) - 2*j(l)?
-2*l**2 + 2
Let p be (2 - (-3)/(-2))*-2. Let a(i) be the first derivative of 0*i - 1/2*i**2 + 2. Let t(h) = h**2 - 5*h. Determine p*t(w) + 5*a(w).
-w**2
Let g(b) = -5*b. Let i(a) = -21*a. Let t be (-3)/9 + (-158)/(-6). Calculate t*g(j) - 6*i(j).
-4*j
Let l(m) = 2 - 2 - 1 - 3 + 5*m. Let c(r) = -9*r + 7. Give -3*c(w) - 5*l(w).
2*w - 1
Let s(v) = 12*v**2 - 10*v - 10. Suppose -4*o + 0*o + 20 = 0. Suppose -o*d = -2*d - 30. Let x(z) = z**2 - z - 1. Determine d*x(t) - s(t).
-2*t**2
Let t(k) = 12*k**2 + 33*k - 11. Let s(x) = -4*x**2 - 11*x + 4. Give 11*s(z) + 4*t(z).
4*z**2 + 11*z
Suppose 0 = 3*b + 2*b + 35. Let z = b - -3. Let x(u) = -u**2 - 398*u + 398*u + 6 + 2*u**2. Let r(h) = -h**2 - 7. Calculate z*r(q) - 5*x(q).
-q**2 - 2
Let o(h) = h + 2. Let l(a) = -2*a - 1. Let c(w) = -3*l(w) - 2*o(w). Let v(t) = -2*t. Determine 2*c(s) + 5*v(s).
-2*s - 2
Let d(p) = 7*p**2 + 11*p. Suppose 5*s - 2*b - 2*b = -42, 3*s + 33 = 5*b. Let v(m) = 4*m**2 + 6*m. Calculate s*d(j) + 11*v(j).
2*j**2
Let s(o) = -13*o. Let a be (-1)/((-4)/12) + 6. Let u(w) = -3*w. Give a*u(f) - 2*s(f).
-f
Let y(v) = -2*v**2 - v - 5. Let s(k) = 6*k**2 + 2*k + 14. Determine 4*s(c) + 11*y(c).
2*c**2 - 3*c + 1
Suppose -2*i + 0 = -2*m + 8, -4*i = 2*m + 10. Let p(s) be the first derivative of -s**3 - 3*s**2 + s - 47. Let z(l) = l**2 + l. Calculate m*p(g) + 4*z(g).
g**2 - 2*g + 1
Let j(p) = -5*p**2 + 2*p. Let o(s) = s**2 - s + 1. Suppose 3*m = 8 - 5. Determine m*j(f) + 3*o(f).
-2*f**2 - f + 3
Let h = -8 + 0. Let u(r) = 2*r**2 + r - 4. Let c be u(-3). Let l(k) = c + 10*k - 8*k + k. Let x(t) = -t - 4. Determine h*x(z) - 3*l(z).
-z - 1
Let h(r) = -10*r - 3. Let p = -210 - -211. Let j(b) = b + 1. Determine p*h(u) + 4*j(u).
-6*u + 1
Let o(g) = -g**3 - 6*g**2 + 2*g + 6. Let h be o(-6). Let q(u) = u**2 - 6*u - 1. Let m(y) = y**2 - 5*y - 1. What is h*m(a) + 5*q(a)?
-a**2 + 1
Let d(r) = 4*r - 1. Let b(j) = j. Let c(l) = 12*b(l) - 4*d(l). Let a(s) = -5*s + 5. Suppose -5*t - 23 = 17. Let y = t + 11. Calculate y*c(q) - 2*a(q).
-2*q + 2
Suppose c - 5*c = -36. Let n(i) = -2*i**2 - 5*i + 11. Let g(s) = s**2 + 2*s - 5. Suppose 2*v - 30 = -v. Let k = 14 - v. Give c*g(a) + k*n(a).
a**2 - 2*a - 1
Let i(u) = u**2 + u + 19. Let b(k) = 2*k**2 + 3*k + 38. What is 2*b(t) - 5*i(t)?
-t**2 + t - 19
Let t(q) = -q**2. Let z(a) = -a**2 + a + 2. Let j be z(0). Let r(c) = -c + 5. Let m(v) = -v + 7. Let f(g) = 5*m(g) - 7*r(g). Determine j*t(n) + f(n).
-2*n**2 + 2*n
Let j(u) = 2*u**2 + 3*u - 6. Let l(b) = -3*b**2 - 5*b + 11. Determine 5*j(g) + 3*l(g).
g**2 + 3
Let x(n) = 2*n**2 - 2*n + 7. Let m(w) = 1. Let i(l) = -4*l - 7. Let u be i(-7). Suppose 2*y + y - u = h, 4*h + 4 = -4*y. Give h*m(p) + x(p).
2*p**2 - 2*p + 1
Let h(a) = -22*a**2 + 5. Let z(y) = -11*y**2 + 3. What is -3*h(o) + 5*z(o)?
11*o**2
Suppose -8*p - 25 = -3*p. Let t(x) be the second derivative of x**3/6 - 6*x. Let h(z) = z**2 + 7*z + 2. Give p*t(s) + h(s).
s**2 + 2*s + 2
Let i be (-6)/24 - 22/8. Let g(y) = -2*y - 1. Let s be 2 + (1 - -15) + 1. Let d = 11 - s. Let c(h) = 6*h + 2. Determine d*g(f) + i*c(f).
-2*f + 2
Let t(j) = j - 2*j + 3*j - 4 + j**2. Let l be 2/((4 - 2) + -1). Let u(x) = 3*x - 5 + x**2 - x**l + 2*x**2. Give -3*t(d) + 2*u(d).
d**2 + 2
Let o(b) = -2*b**3 + 4*b**2 + 3*b. Let r = 1 - -1. Let v(u) = 4*u**3 - 7*u**2 - 5*u. Let i(c) = r*v(c) + 5*o(c). Let n(l) = l**2 + l. Calculate i(t) - 5*n(t).
-2*t**3 + t**2
Let s be 2/9 - (-29)/(-9). Let k(r) = r**3 - 2*r**2 - 2. Let m(l) = 2*l**2 + l**2 + 5 - 1 - 1. Give s*k(x) - 2*m(x).
-3*x**3
Let z(m) = 26*m**3 - 25*m**2 - 5*m - 20. Let g(h) = 5*h**3 - 5*h**2 - h - 4. Let t(d) = 11*g(d) - 2*z(d). Let l(v) = -v**3 + v**2 + 1. Give -4*l(f) - t(f).
f**3 + f**2 + f
Let g(d) = -d**2 - d. Suppose -2*s + 7*s - 3*t - 25 = 0, t = -3*s + 1. Let j(y) = y**3 + 2*y**2 + 3*y. Let h = 131 - 126. Give h*g(l) + s*j(l).
2*l**3 - l**2 + l
Let v(m) = -5*m**2 + 4*m - 4. Let c(h) = 14*h**2 - 12*h + 11. Give -4*c(g) - 11*v(g).
-g**2 + 4*g
Let z(s) = s + 3. Let v(l) = 5 - l + 0*l - 8. Calculate 3*v(m) + 2*z(m).
-m - 3
Let t(z) = -z**3 + 2*z**2 - z - 1. Let u(c) = -2*c**3 + 3*c**2 - 2*c - 2. Let f(j) = -2 - 5*j + 4 - j**2 + 2*j**2. Let r be f(3). Give r*u(l) + 6*t(l).
2*l**3 + 2*l + 2
Let v(d) = 5*d + 3. Let k(q) = -10*q - 3. Let l(t) = 2*t. Let s(w) = -k(w) - 3*l(w). Give -4*s(o) + 3*v(o).
-o - 3
Let w(t) = -4*t - 9. Let c = 15 - 10. Let r(y) = 2*y + 5. Determine c*r(f) + 3*w(f).
-2*f - 2
Let m(i) = 6*i + 2. Let v(n) = -3*n - 1. Suppose -16 = -4*b - 0. Calculate b*m(y) + 9*v(y).
-3*y - 1
Let q(p) = -3*p + 18. Let s(t) = 4*t - 19. What is -5*q(k) - 4*s(k)?
-k - 14
Let k(s) = -4 + 2 - 5*s + 2*s. Let f(r) = 4*r + 2. Let b(d) = -2*d - 1. Let u(y) = -5*b(y) - 2*f(y). What is -3*k(w) - 5*u(w)?
-w + 1
Suppose 8*d = 40 - 32. Let r(a) = -a**2 - a. Let u(i) = 10*i**2 + 4*i. Calculate d*u(q) + 4*r(q).
6*q**2
Let h(i) = -4*i - 2. Let f be 2/(-10) + 78/(-10). Let q(u) = 11*u + 6. What is f*h(l) - 3*q(l)?
-l - 2
Let w(z) = z**2. Suppose -2*q + 2*c - 6 = 0, q + 2*q = -2*c + 1. Suppose 2*m + 3*m = 20. Let i = m + -8. Let n(o) = 2*o**3 - 6*o**2. Determine i*w(x) + q*n(x).
-2*x**3 + 2*x**2
Let a(g) be the first derivative of -7*g**3 + 9*g**2/2 + 5. Let q(h) = -5*h**2 + 2*h. Suppose 45 = -5*b - 0. Determine b*q(p) + 2*a(p).
3*p**2
Let m(i) = -21*i. Let h(v) = v. Calculate 2*h(w) + 2*m(w).
-40*w
Let u(a) = -13*a + 6*a + 5*a. Let r(y) = -6*y. Let k = -22 - -32. Determine k*u(m) - 3*r(m).
-2*m
Let i(u) = 2542*u**3 - 155*u**2 + 155. Let v(z) = 33*z**3 - 2*z**2 + 2. Give 2*i(x) - 155*v(x).
-31*x**3
Let j(l) = -6*l - 2. Let t(b) = -b. Give j(v) - 3*t(v).
-3*v - 2
Let j(w) = -w**2 - w - 7. Let b(p) = p**2 + p + 10. Give 5*b(r) + 7*j(r).
-2*r**2 - 2*r + 1
Let i(w) = -w**3 + w**2 - 6*w - 1. Let l(m) = -m**3 + m**2 - 5*m - 1. Give -2*i(j) + 3*l(j).
-j**3 + j**2 - 3*j - 1
Suppose 0 = -3*n + n - a - 4, 0 = n + 5*a + 2. Let w(r) = -r**3 - 3. Let g(b) = -b**3 + b - 4. What is n*g(k) + 3*w(k)?
-k**3 - 2*k - 1
Suppose 0*m - 10 = -2*m. Let l(x) = 1 - 5 - 99*x + 101*x. Let k(w) = -3*w + 7. Determine m*l(z) + 3*k(z).
z + 1
Let x(d) = -517 - d**2 + 3*d + 0*d + 520 - 2*d**3. Let b(f) = -4*f**3 - 2*f**2 + 5*f + 5. Determine 3*b(o) - 5*x(o).
-2*o**3 - o**2
Let o(i) = 0*i - i + 0*i. Let j(u) be the first derivative of -u**3/3 + 2*u - 1. Let q(l) = -l**2 - 5*l - 5. Let z be q(-2). Give z*j(f) + o(f).
-f**2 - f + 2
Let r(p) = -2*p - 5 + p + 0 - 2. Suppose 0 = -5*w + 12 + 23. Let y(x) = -x + 1. Let f(k) = 5*k - 12. Let t(j) = f(j) + 6*y(j). Calculate w*t(l) - 6*r(l).
-l
Let t(g) be the first derivative of 2*g**3/3 - 3*g**2/2 - 2*g + 1. Let n(z) be the second derivative of z**3/6 + z**2/2 + z. Give -3*n(o) - t(o).
-2*o**2 - 1
Let j(d) = -d**2 + 2*d + 5. Let r(f) = -f**2 + 2*f - 2. Let q be r(0). Let i(s) = -1. What is q*i(w) - j(w)?
w**2 - 2*w - 3
Let b(l) = -5*l**3 - l**2 + 5*l + 11. Let v(j) = 8*j**3 + j**2 - 7*j - 17. What is -7*b(c) - 5*v(c)?