6). Calculate c*j(w) - 2*m(w).
-w**2 - 2*w - 1
Let j(g) = 4*g**2 - 9*g + 1. Let d(a) = 2*a**2 - 2*a + 1. Let m(i) = -5*d(i) + 2*j(i). Let s(c) = -2*c**2 - 9*c - 3. Calculate 7*m(q) - 6*s(q).
-2*q**2 - 2*q - 3
Let s(f) = -f**3 + 7*f**2 - 6*f + 31. Let t be s(7). Let l(d) = 16*d**2 - 10. Let h(y) = -3*y**2 + 2. What is t*h(o) - 2*l(o)?
o**2 - 2
Let o(c) = 7*c - 5. Let v(m) = 3*m - 8. Let u(a) = 5*a - 13. Let z(b) = 5*u(b) - 8*v(b). Determine -o(p) + 4*z(p).
-3*p + 1
Let u(r) = 52003*r**3 + 646*r**2 + 323*r + 323. Let s(b) = -323*b**3 - 4*b**2 - 2*b - 2. Calculate -969*s(k) - 6*u(k).
969*k**3
Let z(s) = -1. Let k(j) be the first derivative of 5*j**2 + 30*j + 764. Calculate -2*k(g) - 60*z(g).
-20*g
Let m(y) = 2*y + 3. Let p(u) = -18*u + 14. Let a be p(3). Let q(o) = -25*o - 40. What is a*m(f) - 3*q(f)?
-5*f
Let n(d) = -65*d**2 - 4*d - 10. Let k(a) = 43*a**2 + 3*a + 7. Calculate 7*k(b) + 5*n(b).
-24*b**2 + b - 1
Let b = -16 + 26. Suppose b*a = 9*a - 5. Let n(i) = 2 + 9*i - 2 + 1. Let k(m) = 14*m + 2. Calculate a*k(c) + 8*n(c).
2*c - 2
Let k(q) be the third derivative of -q**5/60 + q**4/6 + 56*q**2 + q. Let r(l) = -l. Calculate -2*k(y) - 9*r(y).
2*y**2 + y
Let d(f) = 3*f**2 + 1. Let t(u) = 22 - 10 + 0*u**2 - u + 14*u**2 - u**2 - 7. What is 9*d(v) - 2*t(v)?
v**2 + 2*v - 1
Suppose 287 = -d + 283. Let c(i) = i**3 - 2*i**2. Let o(y) = 2*y**3 - 2*y**2. What is d*o(w) + 3*c(w)?
-5*w**3 + 2*w**2
Let r(t) = 5*t + 9. Let k(p) = -5*p - 8. Suppose 2*q - 14 = c + 2*c, q = -5*c + 7. Give q*k(z) + 6*r(z).
-5*z - 2
Let j(c) = 14*c**2 - 168. Let r(i) = -i**2 + 4. Give -2*j(b) - 84*r(b).
56*b**2
Let i(g) = 7*g - 34. Let y be i(5). Let c(p) = -p**3 - p**2 + p. Let t(a) = 7*a**3 + 6*a**2 - 6*a - 4. What is y*t(o) + 6*c(o)?
o**3 - 4
Let k(f) = 5*f**2 + 4*f - 1. Let b(y) = -3*y**2 - 13*y - 1. Let d(q) = -2*q**2 - 18*q - 2. Let i(a) = 3*b(a) - 2*d(a). Determine -6*i(s) - 5*k(s).
5*s**2 - 2*s - 1
Let v(p) = -5*p**2 - 62*p - 25. Let l be v(-12). Let s(i) = -i - 1. Let d(t) = 3*t**2 + 4*t + 6. Calculate l*d(u) - 5*s(u).
-3*u**2 + u - 1
Let o be 1/2 - 5/(-2). Suppose -o*u + 2 = -u. Let m(x) be the first derivative of 3*x**2/2 + 38. Let d(f) = -f. What is u*m(j) + 2*d(j)?
j
Let r(d) = 3 + d + 1 + 1 - 4. Let j(g) = 5 - 5 + 14*g - 7 - 21*g. Calculate -j(h) - 6*r(h).
h + 1
Let i(k) = 9*k - 10. Let v(d) = 26*d - 28. Calculate -11*i(f) + 4*v(f).
5*f - 2
Let u(h) = h + 1. Let b(m) = 5*m + 6. Let j(x) = -2*b(x) + 11*u(x). Suppose -2*y = -g, -36*y = -32*y + 5*g + 14. Let c(f) = 1. Give y*c(l) - j(l).
-l
Let l(j) = j**2. Let n(d) = -4*d**2 - 7. Determine 2*l(q) + n(q).
-2*q**2 - 7
Let z(h) = 15*h - 17 + 6*h - h. Let l(p) = 7*p - 6. Suppose 11 = -5*k - 39. Let f = k - 7. What is f*l(d) + 6*z(d)?
d
Let o(d) = 2*d**3 + 8*d**2 - 5. Let u(g) be the first derivative of g**4/4 + g**3 - 2*g - 1. Suppose 24*f - 29*f = 15. Determine f*o(x) + 8*u(x).
2*x**3 - 1
Suppose -3 = 4*p - 5*p. Suppose 14 = 4*b + 2*h, 2*h = -p*b - 2*h - 2. Let n(z) = -3*z + 3*z - 23 - z + 19. Let x(o) = o + 5. Give b*n(f) + 5*x(f).
-f + 1
Let y(t) = -250*t**2 + 3. Let z(b) = -40748*b**2 + 488. Calculate -488*y(g) + 3*z(g).
-244*g**2
Let d = -31 - -20. Let u(f) = -f**2 + 5*f + 1. Let p be 252/49*14/3. Let a be p/9*9/6. Let b(v) = -3*v**2 + 14*v + 3. Determine a*b(m) + d*u(m).
-m**2 + m + 1
Let v(o) = 4*o + 10*o**2 - 6*o**3 - 6*o**2 - 48 + 46 - 6*o**2. Let p(x) = x**3 - x. Determine -4*p(y) - v(y).
2*y**3 + 2*y**2 + 2
Let n(f) be the second derivative of -f**3/2 - 2*f**2 + 113*f. Suppose 4*q = -2*m - 6, -2*m - 2*m = q + 40. Let z(t) = -16*t - 21. What is m*n(d) + 2*z(d)?
d + 2
Let x(z) = z**2 + z + 1. Suppose p + 5*v + 6 - 1 = 0, 2*v + 20 = -4*p. Let m(y) = 2*y**2 + 3*y + 3. Determine p*x(f) + 2*m(f).
-f**2 + f + 1
Let f(b) = 5*b - 5. Let p(s) = -9587*s + 4801*s + 4802*s - 15. Calculate -7*f(m) + 2*p(m).
-3*m + 5
Let v(u) = -13*u**2 - 7*u - 2. Let i(l) = -39*l**2 - 19*l - 7. Determine -3*i(f) + 8*v(f).
13*f**2 + f + 5
Let f(n) be the second derivative of -5*n**4/12 - 5*n**2/2 - 523*n. Let b(y) = 5*y**2 + 6. What is 5*b(q) + 6*f(q)?
-5*q**2
Let x be 1/11 + 896/(-176). Let u(o) = -o + 2. Suppose 2*d - 4*v + 14 = 0, -4*d = d - 3*v. Let i(c) = -c + 3. Calculate d*i(h) + x*u(h).
2*h - 1
Let h(r) = -6*r - 4. Let y be h(-17). Let t(x) = 6*x**2 - 2*x**3 + y*x - 98*x - 5. Let p(a) = 2*a**3 - 7*a**2 + 6. Determine 5*p(j) + 6*t(j).
-2*j**3 + j**2
Let w(b) = 96*b + 27. Let m(p) = 19*p + 5. Determine 22*m(u) - 4*w(u).
34*u + 2
Let q(c) = -4*c**2 + 2 + 2*c**2 - c + 3*c. Let z be -4 - ((-612)/4 + -3). Let r = -150 + z. Let x(v) = -v**3 + 5*v**2 - 5*v - 5. What is r*x(t) + 5*q(t)?
-2*t**3
Suppose 50 = 4*i + 38. Let q(z) = 3*z**3 + 3*z**2 + 5. Let w(l) = 6*l**3 + 7*l**2 + 11. Calculate i*w(u) - 7*q(u).
-3*u**3 - 2
Let x(n) = 7*n**2 - 11*n - 10. Let z be 28/(-8)*(38/(-14) - -1). Let t(l) = -4*l**2 + 6*l + 5. What is z*x(r) + 11*t(r)?
-2*r**2 - 5
Suppose -3*y + 5*u = -28, 5 = 4*y - 4*u - 27. Let b(k) = 5*k**2 - 7*k - 7. Let i(r) = -2*r**2 + 3*r + 3. Calculate y*b(l) + 14*i(l).
2*l**2
Let b(h) = 1. Let c(p) = -2. Let d(v) = -4*b(v) - 3*c(v). Let y be (-18)/24*-4*1*(-1)/1. Let z(q) = q - 6. Calculate y*z(s) - 8*d(s).
-3*s + 2
Let j(z) = z**3 + z**2. Let w(h) = 5*h**3 + 3*h**2 + 8*h. Calculate 3*j(m) - w(m).
-2*m**3 - 8*m
Let c(y) = -2 + 3*y + 6*y**2 + 1 - 3 + 7. Let h(j) = -2*j**2 - j - 1. Let w(n) = -2*n**3 + 16*n**2 - 14*n - 4. Let g be w(7). Calculate g*c(s) - 11*h(s).
-2*s**2 - s - 1
Let f(b) = 65*b - 8. Let v(t) = 65*t - 9. Calculate -7*f(r) + 6*v(r).
-65*r + 2
Let u(v) = 8*v**3 - 2*v + 1. Let q be u(1). Let h(w) = 3. Let x be (4 + -5)/((-4)/20). Let l(r) = -r**3 - 9 + 3*r - 2*r - x + 4. Calculate q*h(f) + 2*l(f).
-2*f**3 + 2*f + 1
Let l(g) = -2*g - 17. Let m(w) = 3*w + 34. What is -5*l(h) - 3*m(h)?
h - 17
Let h(c) be the second derivative of 1/20*c**5 + 5/12*c**4 + 0*c**3 - c + 0 + 5/2*c**2. Let t = 14 + -9. Let x(m) = 2*m**2 + 2. Determine t*x(w) - 2*h(w).
-2*w**3
Let i(h) = 3*h + 4. Let t(x) be the third derivative of x**4/6 + 5*x**3/6 - 31*x**2. Let k = 11 + -17. What is k*i(g) + 5*t(g)?
2*g + 1
Let n(l) = l**3 - 1. Let z(p) = -5*p**2 - 2*p + 4. Let w(k) = -4*n(k) - z(k). Let t(o) = -o**3 + o**2. Suppose 3*s + 0*s = 3. Give s*w(x) - 3*t(x).
-x**3 + 2*x**2 + 2*x
Let u(v) be the third derivative of -v**4/24 - v**3/6 + 25*v**2. Let q(r) = r**3 + 5*r + 5. Let w be -1 - -1 - 2 - -3. Give w*q(m) + 5*u(m).
m**3
Suppose 3*j = -5*j. Suppose j = 4*v + 56 + 160. Let w = v + 32. Let i(f) = 6*f + 11. Let y(c) = -c - 2. Calculate w*y(t) - 4*i(t).
-2*t
Let l = 643 - 648. Let o(y) = -13*y + 4. Let p(a) = 14*a - 5. What is l*o(c) - 4*p(c)?
9*c
Let q(k) = -2*k**3 + 10*k**2 + 7*k + 7. Let d(z) = -z**3 + 5*z**2 + 3*z + 3. Suppose -6*s - 30 = 4*s. Determine s*q(y) + 7*d(y).
-y**3 + 5*y**2
Let f(v) = 3*v**2 - 2*v + 2. Suppose -5*g + 31 - 41 = 0. Let i(b) = 7*b**2 - 5*b + 5. Determine g*i(n) + 5*f(n).
n**2
Let a(r) = -57 + 5*r**2 + 57 - 4*r**2 + r. Let z(i) = -8*i**2 - 6*i. What is 24*a(y) + 4*z(y)?
-8*y**2
Let h(k) = -9*k - 9. Let o(b) = -4*b**2 - 5*b - 1. Let d be o(-2). Let f(y) = -13*y - 13. What is d*h(v) + 5*f(v)?
-2*v - 2
Suppose -4*h - 3*j + 375 = -27, -j + 497 = 5*h. Let p be 9/(h/2) + 24/(-11). Let x(o) = -1. Let y(a) = a + 5. Give p*y(w) - 11*x(w).
-2*w + 1
Let q(r) = r**2 + r - 1. Let d(v) = v**2 + v - 1. Let j(w) = -6*w**2 - 10*w + 10. Let k(s) = 5*d(s) + j(s). What is k(x) + 5*q(x)?
4*x**2
Let s(k) = 3*k**2 + k - 3. Let d(l) = 5*l**2 + 2*l - 4. Let j(x) = -2*d(x) + 3*s(x). Let z(w) = -5 - 4*w**2 - 1 + 3 - 3*w. Give 12*j(r) - 4*z(r).
4*r**2
Let m(t) = 304 - 605 + 296 + 2*t**2 + 5*t. Let r(d) = 4*d**2 + 9*d - 9. Determine -11*m(b) + 6*r(b).
2*b**2 - b + 1
Let c(r) = -51*r**2 + 7*r - 24. Let g(v) = -26*v**2 + 3*v - 11. Determine 3*c(l) - 7*g(l).
29*l**2 + 5
Let b(g) = 4*g**3 + g**2 - 25*g + 3. Let l(o) = 5*o**3 + 2*o**2 - 26*o + 4. What is -3*b(c) + 2*l(c)?
-2*c**3 + c**2 + 23*c - 1
Let i(w) = -w**3 - 2*w + 48. Let r(q) = q - 23. Calculate 2*i(b) + 5*r(b).
-2*b**3 + b - 19
Let o(z) = 3*z**3 + 5*z - 9. Suppose 5*p - 2*j + 70 = 0, -4*j = -2*j. Let v be -3 - ((-2)/4)/(1/p). Let m(t) = t**3 + 2*t - 4. Determine v*m(h) + 4*o(h).
2*h**3 + 4
Let w(g) = -g - 1. Let q = 41 - 36. Suppose 5*j = 2*o - 4*o + 12, q*o - 13 = -4*j. Let b(p) = p + 1. Determin