41. Determine v*m(i) + w(i).
i**2 - 41
Let q(v) = -20*v**2 - 88*v - 90. Let l(n) = 12*n**2 + 54*n + 54. Give -18*l(h) - 11*q(h).
4*h**2 - 4*h + 18
Let c(h) = -4*h**2 + 13*h + 7. Let d(j) = -2*j**2 - j + 2. Let w(f) = 8*f**2 + 12*f - 6. Let g = 119 + -124. Let s(x) = g*d(x) - w(x). Give 6*c(l) + 11*s(l).
-2*l**2 + l - 2
Let o(b) = -21729*b**2 + 15*b. Let i(x) = 43455*x**2 - 35*x. Calculate -3*i(u) - 7*o(u).
21738*u**2
Let n(i) = -338*i**3 - 13*i. Suppose -1003*g = -1021*g + 90. Let w(t) = -135*t**3 - 5*t. Give g*n(b) - 13*w(b).
65*b**3
Let r(w) = -16*w - 14. Let i(l) be the second derivative of -1/6*l**3 - 8*l - 1/2*l**2 - 19. Give -84*i(n) + 6*r(n).
-12*n
Let f(g) = 6*g - 2. Let b be 1*-5 + (2 - 2)/(-2). Let t(h) be the second derivative of 13*h**3/6 - 5*h**2/2 + 110*h. Determine b*f(n) + 2*t(n).
-4*n
Let w(u) = -8*u**2 + 6*u + 13. Let h(q) = 7*q**2 - 5*q - 12. Let l(s) = -3*s**2 + 10*s - 3. Let d be l(3). Suppose d = 15*j - 82 + 7. Give j*w(c) + 6*h(c).
2*c**2 - 7
Let c(l) = 8242 + 52*l**2 - 16484 + 4*l + 8241. Let i(m) = 104*m**2 + 9*m - 3. What is -7*c(q) + 3*i(q)?
-52*q**2 - q - 2
Let t(n) = 1. Let b(c) be the first derivative of c**2 - 8502. Let v(k) = -k + 6. Let f be v(5). Calculate f*b(l) - t(l).
2*l - 1
Let p(b) = -11*b + 21. Let x(u) = -2704*u + 1347*u + 2 + 2 + 3 + 1353*u. Suppose -2*k + 34 = -0*k. Give k*x(g) - 6*p(g).
-2*g - 7
Let g(q) = -8*q**3 + 35*q**2 - 6*q + 8. Let z(s) = -15*s**3 + 59*s**2 - 11*s + 14. Determine -7*g(y) + 4*z(y).
-4*y**3 - 9*y**2 - 2*y
Let q(k) = -k - 4. Let g(x) = 1. Let b(o) = -o**3 - 7*o**2 + 3*o + 45. Let c be b(-7). Suppose 2*s + 18 = -2*p, s = -c*p + 20*p - 36. Give p*g(l) - 2*q(l).
2*l - 1
Let b(m) = 8*m**3 + 9*m**2 + 17*m + 11. Let o(y) = 7*y**3 + 7*y**2 + 14*y + 8. Let l(j) = 5*b(j) - 6*o(j). Let x(u) = u**3 - u**2 - 1. Give -l(a) - 3*x(a).
-a**3 - a - 4
Let b(o) = 6*o + 1. Let a(t) = 9*t**2 - 615*t + 5255. Let p be a(10). Let x(w) = 1 + w + 5*w - 2*w. Calculate p*b(f) - 8*x(f).
-2*f - 3
Let d(o) = -4*o**2 + 8*o - 2. Suppose 4*x + 0*x = 52. Let s = -19 + x. Let n(y) = -y + 116*y**2 - 232*y**2 + 117*y**2. Determine s*n(r) - d(r).
-2*r**2 - 2*r + 2
Let t(v) = v**2 - v - 1. Let x(y) = -7*y**3 - 7*y**2 + 7*y + 7. Let i = -6701 + 6694. Suppose -2*p = -0*p + 2. Determine i*t(g) + p*x(g).
7*g**3
Let w(d) = d**2 - d - 1. Let o(x) = 13*x**3 - 3*x**2 + 3*x + 3. Let q = -5481 - -5483. What is q*o(l) + 6*w(l)?
26*l**3
Let t(o) = 17*o**3 - 39*o + 20. Let f(r) = 16*r**3 - 40*r + 16. Calculate 5*f(x) - 4*t(x).
12*x**3 - 44*x
Let s(z) = -3*z**2 + z. Let v(m) = 13*m**2 + 70. Calculate 2*s(c) + v(c).
7*c**2 + 2*c + 70
Let q(o) = -10*o - 144. Let h(v) = -v + 9. Determine -2*h(j) + q(j).
-8*j - 162
Let c(d) = -d**2 + 14*d - 40. Let h be c(5). Suppose -g + 4*g - 9 = 0. Let y(j) = 0*j + 7 - j - g*j. Let o(n) = -2*n + 4. What is h*o(b) - 3*y(b)?
2*b - 1
Let t(k) = 61*k**3 - 7*k**2 + 59*k - 475. Let d(w) = -43*w**3 + 5*w**2 - 42*w + 339. Calculate -17*d(u) - 12*t(u).
-u**3 - u**2 + 6*u - 63
Let g(o) = 3*o - 4. Let w(y) = 4*y - 4. Calculate -5*g(i) + 3*w(i).
-3*i + 8
Let i(j) = 273*j**3 - j**2 - 33*j - 11. Let w(t) = -54*t**3 + 6*t + 2. Determine -2*i(q) - 11*w(q).
48*q**3 + 2*q**2
Let k(u) = 4*u + 3. Suppose -4*t + 16 = 0, -t = -28*d + 24*d + 12. Let c(f) = 7 - 177*f - 187*f + 372*f. Calculate d*c(m) - 9*k(m).
-4*m + 1
Let y(q) = q**3 + 5*q**2 - 13*q + 14. Let f be y(-7). Let p(s) = f*s - 6 - 8 + 10. Let d(a) = 15*a - 9. Let o be (-5)/(-20) + 35/4. What is o*p(h) - 4*d(h)?
3*h
Suppose -5*u + 4*c - 377 = 0, 2*c - 4 = -8. Let f be (-12)/66 + (-322)/u. Let y(p) = -5*p**2 + 7*p + 4. Let t(h) = -2*h**2 + 3*h + 2. What is f*y(b) - 9*t(b)?
-2*b**2 + b - 2
Let y(m) = 6*m**3 - 4*m**2 - 86*m - 119. Let b(c) = 12*c**3 - 9*c**2 - 171*c - 258. Determine 6*b(d) - 13*y(d).
-6*d**3 - 2*d**2 + 92*d - 1
Let s(o) be the first derivative of o**4/4 + o**3/3 + 397. Let f(k) = 210*k**3 + 231*k**2. What is 2*f(b) - 462*s(b)?
-42*b**3
Let g(o) = -21*o**2 + 60*o + 15. Let u(q) = 45*q**2 - 121*q - 33. What is -13*g(j) - 6*u(j)?
3*j**2 - 54*j + 3
Let w(f) = 2534*f**3 + 14*f**2 + 8*f + 7. Let a(j) = -2532*j**3 - 12*j**2 - 7*j - 6. Determine -7*a(k) - 6*w(k).
2520*k**3 + k
Let l(f) = f**2 + f - 1. Let p(r) = 3*r**2 - r. Let i(a) = -a**2 + 2*a - 1. Let n(x) = 4*i(x) + 3*p(x). What is 4*l(d) - n(d)?
-d**2 - d
Let o(j) = -23*j. Let b(c) = 26*c + 39. Let f(d) = 3381*d + 5083. Let y(m) = 782*b(m) - 6*f(m). Calculate 7*o(s) + 3*y(s).
-23*s
Let v(c) = -3*c**2 + 18*c. Suppose 5*u + 35 = 1507*h - 1509*h, u - 4*h = 15. Let q(x) = 7*x**2 - 37*x - 1. What is u*v(o) - 2*q(o)?
o**2 - 16*o + 2
Let m(h) = -8*h - 5. Let j(r) = 9*r + 6. Let g be (27/18)/(6/(-4)). Let u be ((-4)/g - -1)*-1. Calculate u*j(c) - 6*m(c).
3*c
Let w(j) = j**2 + 6*j - 4. Let b = -15 - -16. Let t(f) = 0 - 1 - 17*f - b + 7 + 10*f. Determine -5*t(o) - 6*w(o).
-6*o**2 - o - 1
Let u(c) = 4*c**2 + 50*c - 2. Let n(a) = -2*a**2 - 28*a + 1. Let o(y) = 7*n(y) + 4*u(y). Let m(s) = -4*s**2 - 8*s + 2. What is 6*m(l) + 13*o(l)?
2*l**2 + 4*l - 1
Let c(h) = -4*h**2 - 2*h + 6. Let w(j) = 683. Let y(d) = 1480. Let r(g) = -13*w(g) + 6*y(g). Give -c(k) + 5*r(k).
4*k**2 + 2*k - 1
Let u(q) = 12*q**3 + 38*q**2 + 11*q + 66. Let f(c) = 3*c**3 + 10*c**2 + 3*c + 17. Determine 15*f(g) - 4*u(g).
-3*g**3 - 2*g**2 + g - 9
Let h(p) = p**2. Let q(a) be the second derivative of 3*a**5/20 + 4*a**2 - 2*a + 12. Let n(f) be the first derivative of q(f). Determine -6*h(z) + n(z).
3*z**2
Let x(o) = 2*o**2 - 53*o - 3. Let b(k) = 6*k**2 - 162*k - 10. Calculate -3*b(j) + 10*x(j).
2*j**2 - 44*j
Let o(y) = 6*y**2 + 22*y + 760. Let s(c) = c**2 + 4*c + 152. Calculate 2*o(h) - 11*s(h).
h**2 - 152
Let k(o) = 467*o - 11. Let t(h) = 442*h - 14. Give -8*k(m) + 6*t(m).
-1084*m + 4
Let m(k) = 106*k**3 + 5*k**2 - 12*k - 10. Let h(q) = -105*q**3 - 4*q**2 + 10*q + 8. Give 6*h(a) + 5*m(a).
-100*a**3 + a**2 - 2
Suppose 5*t + 3*q - 3 = 0, t - 5 = -2*t - q. Let n be (-1 - t)/((-2)/4). Let f(l) = -n + 4 + l + 3. Let a(k) = -4*k + 4. What is -2*a(m) - 7*f(m)?
m - 1
Let p = -1020 - -1022. Let m(q) = -7. Let s(o) = o. Calculate p*s(f) - m(f).
2*f + 7
Let o(g) = -2*g**3 + 5*g**2 - 6*g - 4. Let d = 178900 + -178896. Let n(h) = -h**2 + h + 1. Suppose j - 5 = -j - q, 3*q - 6 = 3*j. Determine d*n(y) + j*o(y).
-2*y**3 + y**2 - 2*y
Let j(q) = q**3 - q**2 - 1. Let a(f) = 33*f**3 - 24*f**2 - 24. Let b(p) = 26*p - 523. Let l be b(20). What is l*a(g) + 72*j(g)?
-27*g**3
Let o(h) = h**2. Let z be (-5)/((-15)/6) - 6. Let w(n) = n + 3. Let d be w(3). Let t be ((-1)/z)/(d/24). Let f(c) = -c**2 + 2*c + 3. Calculate t*f(q) + 3*o(q).
2*q**2 + 2*q + 3
Let h(s) = -s**2 + 0 - s - 8 + 2 + 14 - 7. Let l(g) = 9*g**3 + 4*g**2 + 4*g - 6. Calculate 4*h(i) + l(i).
9*i**3 - 2
Let a(j) = -j**2 - j - 1. Suppose -118*z + 248*z = -130. Let r(k) = -k**2 + 11*k + 1. What is z*a(g) - r(g)?
2*g**2 - 10*g
Let q(s) = s + 1. Suppose -35*j = 2*j + 333. Let w(r) be the third derivative of r**4/8 + r**3/2 + 37*r**2. Determine j*q(x) + 4*w(x).
3*x + 3
Let d(j) = 9. Let m(i) = i**2 - i + 662. What is -14*d(o) - 2*m(o)?
-2*o**2 + 2*o - 1450
Let m(b) = -19*b**2 + 4886*b + 9. Let a(k) = 64*k**2 - 14656*k - 30. Calculate 3*a(o) + 10*m(o).
2*o**2 + 4892*o
Let y(g) = g**3 - 8*g**2 - 3*g - 73. Let o(v) = -2*v**3 + 18*v**2 + 7*v + 147. Determine -3*o(b) - 7*y(b).
-b**3 + 2*b**2 + 70
Let h(l) = -9*l**2 - 5*l - 4. Let z(x) = -10*x**2 - 6*x - 5. Suppose 283 = 67*o + 15. What is o*z(q) - 5*h(q)?
5*q**2 + q
Let z(d) = 5*d**3 + 4*d**2 + 4*d. Let a(p) be the third derivative of 0*p**3 + 2*p**2 - 5/24*p**4 + 42 - 1/20*p**6 - 1/12*p**5 + 0*p. Calculate 4*a(n) + 5*z(n).
n**3
Let i(z) = 6*z**2 - 50*z + 7. Let t(u) = -17*u**2 + 140*u - 19. Give -8*i(j) - 3*t(j).
3*j**2 - 20*j + 1
Let o(b) = b**3 + 520*b**2 + 7*b - 11. Let t(d) = -261*d**2 - 4*d + 6. Calculate -4*o(w) - 7*t(w).
-4*w**3 - 253*w**2 + 2
Let h = -2 - -26. Let j = h - 23. Let c(s) = s + 1. Let y = 88 + -82. Let b(t) = -t**3 - 3*t - 6. Give j*b(r) + y*c(r).
-r**3 + 3*r
Let p(s) = 6*s - 5. Let q(w) = 2*w - 2. Let y = -97 - -78. Let u = 22 + y. Suppose u*a - 30 = -2*j, -3*a = a - 4*j - 20. Calculate a*q(k) - 3*p(k).
-2*k - 1
Let y(m) = 79*m**3 + 8*m**2 + 4*m. Let j(v) = 315*v**3 + 36*v**2 + 17*v. Determine -2*j(f) + 9*y(f).
81*f**3 + 2*f
Let b(o) = 3*o**3 + 0