c + 4
Let q(r) = r**3 + r + 1. Let k(h) = h**3 + 1703*h - 851*h + 2 + 2*h**2 + 2*h**3 - 855*h. Determine k(f) - 2*q(f).
f**3 + 2*f**2 - 5*f
Let i(n) = -41*n**3 + 11*n**2 - 26*n - 64. Let o(z) = 34*z**3 - 9*z**2 + 26*z + 63. Calculate -5*i(t) - 6*o(t).
t**3 - t**2 - 26*t - 58
Let r(p) = 2*p**3 - p**2 + 2. Let l(q) = 14*q**3 + 18*q**2 - 2*q + 9. Give l(k) - 5*r(k).
4*k**3 + 23*k**2 - 2*k - 1
Let l(w) = -4*w**2 - 6*w - 5. Let j be (6/9)/((-2)/6) + -4. Let r(x) = -7 - 1573*x**2 - 7*x + 1568*x**2 + 1. Determine j*l(c) + 5*r(c).
-c**2 + c
Let c(d) = -6*d**2 + 10*d - 7. Let g(p) = -30*p**2 + 52*p + 11. Let v be g(2). Let a(m) = -4*m**2 + 7*m - 5. Let n = 21 - 14. What is n*a(f) + v*c(f)?
2*f**2 - f
Let n(x) = -x**2 + 25. Let j(v) = -135*v**2 + 48. What is 2*j(r) - 4*n(r)?
-266*r**2 - 4
Let z(x) = 2*x**3 - 4*x**2 - 4*x - 407. Let y(o) = 2*o**3 - 5*o**2 - 5*o - 405. Give 4*y(h) - 5*z(h).
-2*h**3 + 415
Let q(g) = -2*g + 4. Let f be q(4). Let h(v) = -16*v. Let y(c) = 4*c + 19. Let l(u) = 19*u + 114. Let d(m) = l(m) - 6*y(m). Determine f*h(o) + 11*d(o).
9*o
Let i(h) = 5*h**3 - 10*h - 6. Suppose 0 = 76*o - 79*o - 21. Let c(r) = 6*r**3 - 10*r - 7. Calculate o*i(n) + 6*c(n).
n**3 + 10*n
Let y(j) be the first derivative of 10*j**3 + 5*j**2 + 10*j - 808. Let x(w) = -10*w**2 - 3*w - 3. Determine -7*x(u) - 2*y(u).
10*u**2 + u + 1
Let n(c) = -63*c**3 - 11*c**2 + 6*c - 15. Let a(y) = -2*y**2 + y - 2. Determine -6*a(k) + n(k).
-63*k**3 + k**2 - 3
Let m(r) = r**3 + 4*r**2 + 6*r + 3. Let i(z) = 2*z**3 + 9*z**2 + 13*z + 7. Suppose 27 = -53*p + 50*p - 3*h, -29 = 3*p + 4*h. Calculate p*m(c) + 3*i(c).
-c**3 - c**2 - 3*c
Let u(v) be the second derivative of -133*v**5/20 + 49*v**2/2 + 3080*v. Let p(o) = -11*o**3 + 4. Give 49*p(x) - 4*u(x).
-7*x**3
Let p(c) = c - 1. Let l(x) = 5*x**3 + x - 2. Let h = 4 + -2. Let u be 702/(-270) - 18/(-30). What is h*p(t) + u*l(t)?
-10*t**3 + 2
Let b be (-22)/77 + (-3)/(63/582). Let m = b - -22. Let d(v) = 8*v**2 - v - 11. Let w(x) = 23*x**2 - 3*x - 32. Calculate m*w(f) + 17*d(f).
-2*f**2 + f + 5
Let s(g) = g**3 - 4*g**2 - 4*g - 22. Let q(x) = -x**3 - 2*x**2 - 2*x. What is 2*q(b) - s(b)?
-3*b**3 + 22
Let d(z) = -61*z**3 + 463*z**2 - 11*z - 23. Let m(l) = 6*l**3 - 46*l**2 + l + 2. Calculate -2*d(v) - 21*m(v).
-4*v**3 + 40*v**2 + v + 4
Let v(u) = -6*u**3 - 392*u + 197*u + 192*u. Let i(d) be the third derivative of -d**6/4 - 2*d**4/3 - d**2. Determine 3*i(m) - 16*v(m).
6*m**3
Let d(p) = -p**3 + p**2 + p - 1. Let j(h) = 24*h - 132*h**3 + 127*h - 52*h**2 - 27*h - 165 + 217*h**2 + 41*h. What is 165*d(b) - j(b)?
-33*b**3
Let a(o) = -o. Let m be a(-1). Let y(n) = -n**2 - 84*n + 435. Let z be y(5). Let d(l) = 18*l - 10. Let g(u) = u - 1. What is m*d(x) + z*g(x)?
8*x
Let r(p) = -p + 15. Let t be r(19). Let g(f) = 39*f**3 - 13*f**2. Let q(j) = -13*j**3 + 4*j**2. Calculate t*g(h) - 13*q(h).
13*h**3
Let v(y) = -62*y**2 - 11*y - 214. Let u(x) = 21*x**2 + 4*x + 71. What is -11*u(i) - 4*v(i)?
17*i**2 + 75
Let p(h) = 18*h**3 - 3*h**2 + 208*h + 5. Let r(u) = 8*u**3 - u**2 + 103*u + 2. Determine -2*p(b) + 5*r(b).
4*b**3 + b**2 + 99*b
Let b(s) = s**2 + 30. Let j(l) = -l**2 + l + 4713. Determine b(u) - j(u).
2*u**2 - u - 4683
Let f(y) be the second derivative of -y**4/12 + y - 1995. Let o(q) = 3*q**2 - 3*q - 2. Determine -5*f(s) - o(s).
2*s**2 + 3*s + 2
Let y(j) = -2*j**3 + 5*j**2 + 67. Let n(c) = -c**3 + 2*c**2 + 34. What is -10*n(z) + 4*y(z)?
2*z**3 - 72
Let s(i) = -8040*i + 190. Let z(x) = -293*x + 7. Calculate 2*s(v) - 55*z(v).
35*v - 5
Let h(j) = 5376*j**2 - 6*j - 10751*j**2 - 6 + 5376*j**2. Let s(y) = -2*y**2 + 7*y + 6. Give -4*h(x) - 3*s(x).
2*x**2 + 3*x + 6
Let d(l) be the first derivative of l**2/2 + l + 730. Let z(b) = 3*b**2 - b - 4. Calculate -5*d(g) - z(g).
-3*g**2 - 4*g - 1
Let l(u) = 9*u**2 - 50*u - 646 + 18*u + 1263 - 611. Let s(n) = 3*n**2 - 11*n + 2. Determine -6*l(i) + 17*s(i).
-3*i**2 + 5*i - 2
Let t be ((-1)/3)/((-2)/24). Suppose -n = -t*n - 6. Let j(x) = 6*x**2 + 1. Let y(i) = -3*i**2 - 172*i + 172*i. Calculate n*j(m) - 5*y(m).
3*m**2 - 2
Let f(k) = -21*k**3 - 11*k**2 - 6*k + 15. Let u(g) = 4*g**3 + 2*g**2 + g - 3. Let o = 17340 - 17329. Determine o*u(v) + 2*f(v).
2*v**3 - v - 3
Let l(a) = 15*a**2 + 11*a - 13. Let j(i) be the first derivative of 7*i**3/3 + 3*i**2 - 7*i + 1246. What is -11*j(d) + 6*l(d)?
13*d**2 - 1
Let u = -22504 + 22511. Let k(r) = 6*r - 24. Let a(t) = 9*t - 36. Calculate u*k(v) - 5*a(v).
-3*v + 12
Let d(i) = 22*i - 3862. Let w(l) = -4*l + 768. Calculate -3*d(v) - 16*w(v).
-2*v - 702
Let j be (-42)/28 + (-55)/(-2). Suppose 8 = -j*w - 70. Let b(f) = 9*f**2 - 9*f - 6. Let g(l) = 3*l**2 - 3*l - 2. Calculate w*b(x) + 8*g(x).
-3*x**2 + 3*x + 2
Let m(s) be the first derivative of 2/3*s**3 + s**2 - 3/4*s**4 + 5*s + 181. Suppose -3*n = -0 - 6. Let u(l) = -4*l**3 + 3*l**2 + 3*l + 6. Give n*u(p) - 3*m(p).
p**3 - 3
Let a(k) = -3*k - 5. Let z(g) = -2*g**2 - 3*g + 286. Give a(t) - z(t).
2*t**2 - 291
Let l = -77 - -263. Suppose -u - l = -185. Let o(v) = -6*v**3 - 2*v. Let a(h) = -h**3. Determine u*o(r) + 3*a(r).
3*r**3 + 2*r
Suppose -21*s + 7*s = 18*s - 128. Let m(f) = -3*f + 13. Let l(q) = 2*q - 13. What is s*m(z) + 5*l(z)?
-2*z - 13
Let z(b) = 3*b**2 + 5*b + 7. Let c(a) = -13*a - a**2 - 3 - 19*a + 47*a - 17*a. Give -9*c(j) - 4*z(j).
-3*j**2 - 2*j - 1
Let v(q) = 3*q**2 - 3*q + 2*q**2 - 11*q**2 + 4 + 7*q**2. Let c(h) = -h**2 + 1. Calculate -2*c(k) + v(k).
3*k**2 - 3*k + 2
Let k(a) = 8*a**2 - 13*a**2 + 10*a**2 + 7 + 14*a**2. Let h(i) = -37*i**2 - 15. What is -6*h(b) - 13*k(b)?
-25*b**2 - 1
Suppose -12*u + 5768 = 56. Let n = -477 + u. Let r(z) = -3*z**3 + 5*z**2 + 7*z - 6. Let l(c) = -c**3 + c**2 + c - 1. Determine n*r(p) + 5*l(p).
-2*p**3 - 2*p + 1
Suppose 9*m = 24 - 24. Suppose m = 9*k + 18 + 18. Let n(a) = 3*a**2 + 7*a - 4. Let d(l) = 2*l**2 + 4*l - 2. Determine k*n(h) + 7*d(h).
2*h**2 + 2
Let u(d) = -21*d**3 - 53*d**2 + 10*d - 15. Let m(x) = -11*x**3 - 26*x**2 + 4*x - 6. Determine -5*m(h) + 2*u(h).
13*h**3 + 24*h**2
Let p(g) = -2*g**2 + 1235*g - 2. Let r(k) = 15*k**2 - 9872*k + 17. What is 17*p(b) + 2*r(b)?
-4*b**2 + 1251*b
Let w(i) = i**2 - 1. Let r(y) = -3*y**3 - 7*y**2 + 5. Let a be (15/6 - 1) + 108/24. Calculate a*w(j) + r(j).
-3*j**3 - j**2 - 1
Let q(g) = g**3 - 2*g**2 + 2*g. Let r = -337047 - -337054. Let w = -4 - -6. Let u(o) = -4*o**3 + 7*o**2 - 7*o - 1. Give r*q(z) + w*u(z).
-z**3 - 2
Let s = 153 + 3. Let x(l) = -4*l**2 + 4 + s*l - 150*l + 6*l**2. Let z(u) = -4*u**2 - 11*u - 7. Determine 5*x(d) + 3*z(d).
-2*d**2 - 3*d - 1
Let j(a) be the second derivative of -a**4/6 + 2*a**3/3 + 2*a**2 + a + 2. Suppose -13*m + 40 = -23*m. Let b(s) = s**2 - s - 1. Determine m*b(f) - j(f).
-2*f**2
Let a(i) = 4*i - 1. Let b(r) = -16*r + 5. Let c be ((-432)/360)/(6/20) + 2. What is c*b(d) - 9*a(d)?
-4*d - 1
Suppose 6 - 1 = 5*s. Let z(d) be the third derivative of 0*d**3 + 0*d + 0*d**4 + 52*d**2 + 0 + 1/60*d**5. Let t(g) = 4*g**3 + 4*g**2. Calculate s*t(f) - 4*z(f).
4*f**3
Suppose -12*c - 12 + 72 = 0. Let w(d) = -101 + c*d + 51 + 50. Let v(x) = x. Determine -6*v(r) + 2*w(r).
4*r
Let r(z) = 17*z**2 - 29*z - 1. Let y(n) = 6*n**2 - 15*n. What is 2*r(f) - 5*y(f)?
4*f**2 + 17*f - 2
Suppose 8 = -4*n - m, n - 6*m + m = -2. Let l(w) = -4*w - 5. Let t(q) = -q. Determine n*t(x) + l(x).
-2*x - 5
Let j(x) = -x - 41. Let o(l) = 5*l + 220. Let p(n) = 11*j(n) + 2*o(n). Let b(i) = 1. Calculate 2*b(f) - 2*p(f).
2*f + 24
Let h be (308/(-3))/(-11) + 16/(-12). Let y(a) = -14*a - 39. Let r(t) = -9*t - 26. What is h*r(g) - 5*y(g)?
-2*g - 13
Let l(g) = g + 18. Let v(f) = -266 + 74 + 72 + f + 73 + 64. Give -3*l(o) + 4*v(o).
o + 14
Let x(a) = 198*a**3 + 8*a**2 + 5*a - 4. Let l(h) = -2*h**3 + 2*h**2 + h - 1. Determine -4*l(m) + x(m).
206*m**3 + m
Let l(t) = 96*t - 1132. Let g(q) = 19*q - 230. Give -14*g(b) + 3*l(b).
22*b - 176
Let x(q) = -q + 1. Let w(g) = -19011*g + 19018*g + 1 - 5. Let a = 11 - 5. Determine a*x(s) + w(s).
s + 2
Suppose 4 = -3*r - 2. Let o be (-5)/(20/(-6))*r. Let b(s) = -s**2 + 3. Let h(d) be the second derivative of d**4/6 - d**2 - 17*d. Calculate o*h(g) - 2*b(g).
-4*g**2
Let h be (-2)/(2 + (-8)/3). Suppose -3*f = -7 + 4. Suppose 13 = 7*t - f. Let v(i) = 4*i**2 - 4*i + 3. Let b(l) = -4*l**2 + 3*l - 2. Determine h*b(m) + t*v(m).
-4*m**2 + m
Let u be