189/413910.
1752
Suppose 0 = -k, -52*m + k = -55*m + 2700. What is the smallest common multiple of 1900 and m?
17100
Let m = 58238/27429 - 546/223. What is the common denominator of m and 101/8?
984
Let y = 169 + -193. Find the common denominator of -33/8 and ((-164)/y + -7)/(1/(-115)).
24
Let r(t) = 11 - 759*t - 3 + 755*t + t**2. What is the smallest common multiple of 2 and r(3)?
10
Let p(n) = 7*n - 4. Let d be p(5). Let v = -7 + d. Calculate the smallest common multiple of v and (-1)/7 - 855/(-399).
24
Let i = -3062 - -101071/33. Let w = i - -436/165. Calculate the common denominator of 8/29 and w.
145
Suppose -6*i - 11*i = -32*i + 630. What is the lowest common multiple of i and 343?
2058
What is the common denominator of 47/(-120) - (-264)/198 and 23/3?
120
Let a = 1292 - 1297. Find the common denominator of (-94)/(-20)*10/16 and a - (-2 - (-270)/(-48)).
16
Let l = -291137/1644387 + 183/1189. Find the common denominator of -29/6 and l.
2766
Let x be 5 + 12/(1 - -2). What is the least common multiple of (x/6)/(-3)*(4 - 14) and 1?
5
Suppose 14 = 2*c - m, 3*c + 2589*m = 2588*m + 31. Calculate the common denominator of -33/68 and c.
68
Let x be (3 - 5)/((-1)/(-2)). Calculate the common denominator of 4 - ((-6)/(-22))/(6/189) and (x + 0)/(-4)*(-23)/4.
44
Let t be (-2)/10 - 295836/(-155). Let a = -1910 + t. Calculate the common denominator of a and (-10)/27*99/6.
279
Let w(y) = -y**2 - 19*y - 16. Let i be w(-11). Suppose 7*k = -2*k + i. What is the lowest common multiple of k and 18?
72
Let n be 65/15 - 5 - 34/(-6). Suppose -23 = -3*l + n*d - 6*d, -d - 19 = -4*l. Calculate the least common multiple of 33 and l.
66
Let u(m) = -60*m**3 - 17*m - 37. Calculate the smallest common multiple of 14 and u(-3).
11438
Let r = -8 - -8. Let d be (2/(-7))/((-40)/560). Suppose -d*l - 4 = 4, 2*m - 4*l - 44 = r. What is the smallest common multiple of 30 and m?
90
Let v = -110731/47856 - -4/2991. Let f = -7877/12886 + 3/3032. What is the common denominator of f and v?
272
Let c(o) = 16*o**2 - 181*o - 24. What is the smallest common multiple of c(12) and 540?
540
Let x(o) = 2*o - 4. Let s(r) = -2*r**2 - 14*r - 55. Let w be s(-6). Let g = w + 45. What is the least common multiple of x(7) and g?
10
Suppose 0 = 10584*s - 10585*s + 88. What is the least common multiple of 682 and s?
2728
Suppose -492 = -9*v + 5*v. Let c = -46 + v. What is the least common multiple of 21 and c?
231
Suppose -3*k = 3*k + 2*k. Suppose -8*p + 228 + 52 = k. Calculate the least common multiple of 3 and p.
105
Suppose -2*y - 3*y = 5*j - 19645, 2*y + 19624 = 5*j. What is the lowest common multiple of j and 3020?
39260
Let u(p) = -6*p + 222. Let c be u(36). Let y = -39 - -66. What is the least common multiple of y and (2 + 33/(-9))*c/(-5)?
54
Suppose -159 - 186 = -m. Find the common denominator of -37/56 and 4 + -4 + (1 - m/350).
280
Let k be 9/(-36) + 365691/108. Let q = 3378 - k. Calculate the common denominator of 49/9 and q.
9
Let m = 87 - 81. What is the smallest common multiple of 29 and m/(-14) + (-80)/(-7) + -1?
290
Let r = 175359/34390 + 3/3439. Let x(s) = -s + 10. Let z be x(4). Find the common denominator of 1/z*522/24 and r.
40
Let x = -1789/6006 - -1/858. What is the common denominator of 61/9 and x?
819
Calculate the common denominator of -3/20 and -2 + (-8)/((-896)/783) + -4.
560
Let x = -12958 + 12969. Let f(z) be the first derivative of z**4/4 - 10*z**3/3 - 11*z**2/2 + 11*z + 1. Calculate the least common multiple of f(x) and 10.
110
What is the common denominator of 986/290*(-2)/160 and -71/200?
400
Suppose 2*f + 6 = 0, -2*j - 3*f - 3 = -2. Suppose -2*b + 70 = 2*i, b - j*b - i + 115 = 0. Suppose -3*g + g = -b. What is the lowest common multiple of 38 and g?
380
Calculate the least common multiple of 124 and (-980)/(-22) - (-6)/(-11).
1364
Let j = -1584 + 2151. What is the smallest common multiple of 315 and j?
2835
Let g = -12543 - -12576. Suppose 4 = 2*f - 72. Suppose 10 = 5*z - 4*v, -3*z - 2*v + f = 10. Calculate the lowest common multiple of z and g.
66
Let q = -12 - -38. Suppose q*f - 648 = 17*f. What is the least common multiple of 4 and f?
72
Let n = 7124/23 - 649503/2093. What is the common denominator of n and (-1 - -2)/((-36)/(-284))?
819
Let r(o) be the third derivative of -o**5/60 + 3*o**4/4 + 23*o**3/2 + 28*o**2. Let f(t) = 32*t**2 + t. Calculate the lowest common multiple of r(21) and f(-1).
186
Let r be (-8650)/(-15)*(-2 - 1). Let s = -89759/65 + -4442/13. Let y = s - r. What is the common denominator of -95/28 and y?
140
Let i = -370 + 376. Find the common denominator of ((-20)/i)/(287/(-205)) and (-1)/18*963/6.
84
Calculate the common denominator of -85/8532 and 518/40 + 12/(48/(-28)) + -7.
42660
Let g = -94 + 96. Suppose 0 = 4*l + g*l + 150. Calculate the common denominator of ((-21)/(-10) - 2)/(5/(-305)) and l.
10
Let v = -14039/114724 + 7/2494. Let w = 289187/24972 + 6/2081. What is the common denominator of v and w?
276
Let n(r) = -r + 77. Suppose -2*h + 105 = 3*h - 5*m, -2*h = -5*m - 36. What is the smallest common multiple of n(h) and 6?
54
Let h = 75 - 21. What is the common denominator of -7/192 and (-41)/(-4) - (h/(-6) + 7)?
192
Let t(r) = r**3 + 5*r**2 - 8*r. Suppose 0 = 9*p + 4*p - 26. Suppose 0 = p*f - 4*l - 8, 3*l - 6 = -f + 3. What is the least common multiple of t(-6) and f?
12
What is the lowest common multiple of 12 + 69420/105 - -1 - 12/(-14) and 63?
4725
Suppose -4*w - 439 = -3*j, -434 = -3*j + 2*w + 3*w. Let b = j - 104. Let k = b + -42. What is the lowest common multiple of 7 and k?
7
Suppose 2 + 2 = -2*y - 4*t, t = -2*y - 4. Let b = 9573/611 - 2/1833. Calculate the common denominator of b and 1606/(-240) + y/(-5).
24
Let t = -21 + 16. Calculate the common denominator of 1/t + (-421)/(-180) and 17/60.
180
Let a(r) = -18 + 18*r - 4*r**3 + 3*r**3 - 20*r - 18*r**2. Calculate the smallest common multiple of 32 and a(-18).
288
Let n = -112 - -111. Find the common denominator of -65/34 and (n - 15/(-21)) + 1010/252.
306
Suppose 4*o = -f - 20, 4*f - 5*o = -2*o + 15. Suppose f = -5*x + 83 + 17. Let m(k) = -k**2 + 109*k - 800. Calculate the lowest common multiple of x and m(9).
100
Suppose -4 = -j + 60*u - 62*u, 8 = -u. Calculate the smallest common multiple of 21392 and j.
106960
Let j = -3010 + 3190. Calculate the lowest common multiple of j and 99.
1980
Let q = 1101/115 + -142649/13110. Let o = 33836 - 1014989/30. Calculate the common denominator of o and q.
570
Let w = -74140/9 - -8254. Let d = w + -161/36. Calculate the common denominator of -63/412 and d.
412
Let t be (0 - 1)*-3 + -5. Calculate the least common multiple of ((7 - t) + -5)*(55 + 2) and 22.
2508
Let s = -643 + 649. Calculate the lowest common multiple of s and 324.
324
Find the common denominator of 13/784 and (102/(-8))/(729/(-162)).
2352
Let f be (47839/209 - -13) + (-4)/(-38). Find the common denominator of (2/20)/((-6)/116) and -2*f/120 - (-7 + 4).
30
Let i = 9516/55 + -173. Let u = i - -4551/770. Let m = -3683/130 - -289/13. What is the common denominator of u and m?
70
Suppose c - 4*o = -16, 4*c - 4*o = -23 + 7. What is the common denominator of 97/16 and (-60)/120 - (c - 50/112)?
112
Calculate the common denominator of 909/42*(5026/(-504) - -10) and -139/60.
840
Let b = -11730661/7344504 - 2/102007. Let d = 70970927 - 86868424013/1224. Let i = d + 4/153. What is the common denominator of b and i?
72
Suppose 13*o - 8*o + 115 = -p, -2*p - 62 = 3*o. Calculate the common denominator of 28 + o + (-850)/168 and -37/39.
1092
Suppose -1625 = -4*h + 4*r - 613, 5*r = -5*h + 1255. Calculate the lowest common multiple of h and 2628.
18396
Let k = -69187/12 - -5762. Suppose -87751 = 3*p - 3*d - 2*d, -4*d = 5*p + 146190. Let g = p - -526495/18. Find the common denominator of k and g.
36
Let c = 76061/15 - 5068. Let g = 97/117 - -5309/1170. Find the common denominator of g and c.
30
Let l = -64/47 - 1531/705. What is the common denominator of 59/51 and l?
255
Suppose -g = -4*d + 967, 13*g + 12 = 9*g. Calculate the lowest common multiple of d and 2.
482
Let d(f) = -35*f + 30. Let c be d(-6). Let w = 275 - c. Calculate the least common multiple of 10 and w.
70
Let c = -17778251/138 + 128827. Let j = -2353/10 + 240. Calculate the common denominator of c and j.
690
Let i = -10966103/1