
Calculate the smallest common multiple of 302 + 112 + (4 - (1 + -3)) and 336.
1680
Let p = 16 + 20. Suppose 2*x - 6 = -3*r, -11*r - x = -14*r - 3. Let y = r + 8. Calculate the smallest common multiple of y and p.
72
Let d(b) = -10*b**3 - 3*b + 3. Calculate the least common multiple of -3 + 7 - (-8 - 0) and d(-3).
564
Let l = 14159 - 14138. Suppose -28 = -2*p + 26. Suppose 5*x - 167 = 2*h, 2*h - 70 = -3*x + p. Calculate the smallest common multiple of l and x.
231
Let n = -2/4141 + 103557/66256. Calculate the common denominator of (-6)/(-10)*835/30 + 704/880 and n.
16
Let t = -865 + 539. Let s = -318 - t. Calculate the lowest common multiple of 124 and s.
248
Let y = -104 - -238/3. Let z be 735/75 + 2/10. Calculate the common denominator of y and z/(-4)*-5 + -1.
6
Let m = -302303 + -457751. Let x = m - -18245213/24. Let z = -484/3 + x. What is the common denominator of 101/16 and z?
16
Let j(d) = -d**3 + 6*d**2 + 3*d - 13. Suppose -5*v + 85 = 5*h, -5*v - 2 = 2*h - 78. Calculate the least common multiple of (8/10)/(v/105) and j(6).
30
Suppose 6*a - 64 = 2. Suppose -2*q - 5*u - 2 = -21, -a = -4*q - u. Calculate the smallest common multiple of 60 and q.
60
Let h(x) = -x**2 + 77*x + 516. What is the smallest common multiple of h(78) and 42?
3066
Let w = -670/17 + 95895/2431. Calculate the common denominator of 3/650 and w.
7150
Let b = -1316/13 + 42489/416. Calculate the common denominator of b and -83/3472.
6944
Suppose -2*a = 2*t - 20, 8 + 12 = 2*t - 3*a. Find the common denominator of -41/24 and t/6*207/(-54).
72
Let s = -8 + 8. Let d be (1 - -3643)/(5/10) + s. Let p = -109267/15 + d. Calculate the common denominator of 127/30 and p.
30
Suppose -8 = d - 7. Let b(g) = -32*g**3 - 3*g**2 - 4*g - 3. What is the lowest common multiple of b(d) and 45?
90
Let k be (-5)/1 - 1*(7 + -32). Suppose -w + 8*n = 4*n - 19, 5*n - k = -5*w. What is the smallest common multiple of w and 5?
35
Let v(p) = -p**2 + 54. Suppose 0 = -4*f + 166 - 62. Calculate the least common multiple of v(-7) and f - (-2 + 2) - 2.
120
Let r = 1/417 + -1538/3753. What is the common denominator of r and 6 + (4/6 - 5/(-540)*-1338)?
54
Let n(j) = j**3 - 3*j**2 + 6*j + 10. Calculate the least common multiple of n(0) and (2/(-3))/(0 + 2/(-3666)).
6110
Let o(z) = z**3 - 5*z**2 - 74*z + 435. What is the least common multiple of 420 and o(6)?
3780
Suppose -60*t = -150*t + 13860. What is the least common multiple of t and 418?
2926
Let r = -5777/8460 - 68/235. Suppose -1 = -0*w + w. Calculate the common denominator of ((-8)/96)/((8/(-228))/w) and r.
72
What is the common denominator of ((-36)/(-28260))/(140/(-1850)) and -1/628?
4396
Let q = 12066859473/2494 + -139367286/29. Let a = 32587 - q. What is the common denominator of 103/12 and a?
516
Suppose -p + v - 35 = 0, 2*v - 7*v = -2*p - 85. Let b = 46 + p. What is the smallest common multiple of b and ((-35)/15)/(63/(-162))?
48
Let z = 30304777/72 - 420899. Calculate the common denominator of 155/126 - (-3)/(-9) and z.
504
Let m = 66 - 71. Let s(v) = -v**3 - 7*v**2 - 13*v - 8. What is the least common multiple of s(m) and 48?
336
Let g = -497989/4 - -125430. Let q = 40855/44 - g. What is the common denominator of q and 0 - (2/24 - -1)?
132
Suppose 35*g + 53 = 158. Suppose -1059 + 933 = -g*z. What is the smallest common multiple of 78 and z?
546
What is the common denominator of (((-1635)/109)/(2 + 50))/((-186)/17) and -73/44?
35464
Find the common denominator of -59/8 and 5/(-17010)*-6333 + (-3)/6*4.
4536
Suppose -n + 6*n = 15. Let p(u) = 1 - 87*u + 257*u - 84*u - 85*u. What is the least common multiple of p(n) and 18?
36
Let b = -37 + 12. Let g(i) = -i**3 - 28*i**2 - 74*i + 30. Calculate the smallest common multiple of 6 and g(b).
30
Let n(i) = i**3 + 23*i**2 + 22*i - 14. Let a be n(-21). Let x = -400 + a. What is the lowest common multiple of 44/6 - 4/(-6) and x?
24
Let n = 1155623444725 - 873406332040770327/755788. Let x = n + -4/17177. What is the common denominator of x and -87/16?
176
What is the common denominator of (-159)/(-15)*(-10)/88 and (1767/(-1862))/(72/(-28))?
924
Let d(v) be the second derivative of v**4/12 - 4*v**3/3 - 7*v**2 + 29*v - 1. Let r = -4 + 26. Calculate the lowest common multiple of d(14) and r.
770
Suppose 20 = 6*c + 2*k, -4*c - 8 = 5*k - 9*k. Suppose -6*h + h = -55. What is the least common multiple of h and c?
22
What is the lowest common multiple of 3300 and (-8)/180 + 286/360 - 522/(-8)?
3300
Let j(c) = c**2 - 5*c + 24. Let k(z) = z**2 + 16*z + 40. Let t be k(-13). Let s be 5/(-10)*0/t. What is the lowest common multiple of 3 and j(s)?
24
Let f(o) = o**2 - 3*o - 12. Let a be f(7). What is the least common multiple of a/(-48) + (-43)/(-3) and 9?
126
Let d = 4477/970 + -3/194. Suppose 5*k + u = -74, -31 = -6*k + 8*k - u. What is the common denominator of -13 - k - (-74)/(-12) and d?
30
Let m(j) = -j**3 - 18*j**2 + 14*j - 5. Let d(b) = b**2 + 79*b + 702. Calculate the smallest common multiple of m(-19) and d(-70).
360
Let z be (-12)/5 + 8/20 + 3. Let a(c) = 104*c**2 + c - 1. Let g be a(z). What is the common denominator of -80/21 and (-10)/18*g/24?
189
Let o(l) = -l**2 + 8*l - 6. What is the common denominator of -3 + (-4)/(-1) + -2 + 930/(-80) and o(4)?
8
Let s = -344389 + 2759365/8. Let u = s + -538. Let d = 29/247 - 36977/1482. Find the common denominator of d and u.
24
Let w be 21/8 - (-21)/56 - 1. Suppose -5*v - w*o + 260 = o, o - 208 = -4*v. Calculate the lowest common multiple of 2 and v.
52
Let h = 434296049/144 + -3015929. Let z = -3249 + 29104/9. Let r = z + h. Calculate the common denominator of r and 67/16.
16
Let b(g) = 2*g**3 - 4*g**2 + 8. Let c be b(2). Suppose 0 = -13*k + c*k + 350. What is the least common multiple of k and 6?
210
Let w = -808 + 1100. Let l(b) = b**3 + b - 2. What is the smallest common multiple of w and l(2)?
584
Let k(i) = -2*i + 2*i - 3*i - 5 - 7*i. What is the smallest common multiple of k(-2) and (-9)/5 + 2 - 74/(-5)?
15
Suppose 10*f - 18*f + 58179 = 33*f. What is the lowest common multiple of f and 516?
5676
Let p be 4*(-2)/16*-158. Let k = 92 - p. What is the lowest common multiple of 5 and k?
65
Let p(a) = -a**2 + 10*a + 10. Suppose -26*q - 34*q + 300 = 0. What is the least common multiple of q and p(10)?
10
Let w = -512 - -515. Suppose w*h = 2*o - 42, 4*h = o - 5 - 11. What is the lowest common multiple of 14 and o?
168
Calculate the smallest common multiple of (-48267)/(-2595) + (-26)/10 and 1932.
7728
Let m = -1422 - -1428. What is the lowest common multiple of 1632 and m?
1632
Let s be (199157/(-180) - (-8)/(-36)) + 3. Let z = -1102 - s. Find the common denominator of z and (-39)/9*(2 + 148/(-80)).
20
Let r = 2255499217/1404 - 1606481. Find the common denominator of r and -127/18.
1404
Let x(d) = 6*d + 47. Let o be (-18)/45 + (-33)/5. Let w be x(o). What is the smallest common multiple of 18 and (w + 0 - -2) + -1?
18
Let y(m) = -10*m**3 - 3*m - 3. Let a be y(-1). What is the common denominator of -42/5 and 104/78 - 42/a?
15
Suppose -2*l - 24*n = -21*n - 7, 49 = 4*l - n. What is the smallest common multiple of 433 and l?
4763
Let q(g) = 8*g**3 + g**2 + 3*g + 2. Let x be q(-3). Find the common denominator of 79/66 and x/72 - (-1 + 1)/5.
396
Suppose -5*n + 29350 = -p + 6307, 0 = -3*n + 4*p + 13836. What is the least common multiple of 240 and n?
23040
Suppose 0 = 6*d - 9*d + 816. Let a = -203/4 - -54. What is the common denominator of ((-1649)/d)/(1/(-4)) and a?
4
Let p be (4216/(-336))/(30/35). Let m = p + 487/18. Calculate the common denominator of -9/20 and m.
60
Let v(t) = -t**2 - 13*t + 10. Let g be v(-14). What is the common denominator of g/(-2) + 406/(-63) and 20/50 - 127/80?
144
Let w(r) = -r + 6. Let h be w(4). Let g = -2 - h. Find the common denominator of (187/(-28))/(-1) + g/16 and 71/6.
42
Let t = 733/95 - -70/19. Calculate the common denominator of t and 77/800.
800
Let c = 187875/26 - 26357789/3640. Let a = -110/7 - c. What is the common denominator of a and 4*(-12 + (-1686)/(-96))?
40
Let d = 14335458 + -516119189/36. Let w = d - -4735/4. Let a = 196 + -1241/6. Find the common denominator of w and a.
18
Let y = 5201800743/442871 - 60/23309. Let f = y + -11743. What is the common denominator of 2528/256 + (-48)/8 and f?
152
Suppose 2*d - 10*d + 40 = 0