2
Let u = -2258/399 + -1/133. Let m = u - -29/4. Let x = -33851/20 - -1692. Calculate the common denominator of m and x.
60
Let z(m) = 10*m**2 + 14*m - 4. Let x be z(-2). What is the common denominator of (26/(-40))/(-6 + x + -3) and 41/24?
120
Suppose v - 615 = -4*k + 139, -3004 = -4*v - 4*k. What is the common denominator of -101/8 and (-1430)/v + 10/(-75)?
200
Suppose 76 - 264 = -4*z. Let b = z + -49. Find the common denominator of 86/(-10) + (-2 - b) and 109/10.
10
Suppose -220*z = -215*z + 120. What is the common denominator of (-162)/(-16) - ((-78)/z + -3) and -127/18?
72
Let a(w) = -27*w**2 + 30*w + 0*w**3 - 2*w**2 - 75 + w**3 + w**2 - 4. Calculate the lowest common multiple of a(27) and 172.
172
Suppose 0 = -94*o + 90*o - 32. Suppose 100 = -2*x - 3*x - 2*y, 3*x - 3*y = -39. Find the common denominator of 64/21 and (0 + 35)*(o/x)/(-4).
63
Let f be 657/6*(-112)/(-21). Let x = f + -489. What is the smallest common multiple of x and 114?
570
Let u be (1 - 0/2) + 50/1. Let v = -45 + u. Calculate the least common multiple of v and 36.
36
Suppose 4*x - 4 = 0, 3*c - 29 = -0*c - 2*x. Suppose -3*a - c = 0, 2*y - 2*a + 22 + 36 = 0. Let z = -30 - y. Calculate the lowest common multiple of 68 and z.
68
Let h = -464 + 492. Calculate the smallest common multiple of h and -4 - (-186)/48 - (-34)/16.
28
What is the common denominator of 14781/(-17160) - 6/(-75)*-5 and 7/66?
264
Suppose -3*i + i + 1 = v, 4*i - 32 = 4*v. Calculate the common denominator of -57/10 and ((-63)/(-28) - (i - 1))*71.
20
Let h(x) = -2*x - 4. Let j be h(3). Let f be (-1 + -2)/(-3 + 33/12). What is the least common multiple of 6 and (1*-2)/(-2)*(j + f)?
6
Let u be (-3)/(-7) - (2 + (-225)/63). Suppose 5*n = u*z + 48, 44 = -n + 5*n - 3*z. What is the lowest common multiple of n and 646?
2584
Suppose 5*d - 5*c = -60, -d - 4*c = 2*d + 22. Let j be (52/(-10))/(2/d). Suppose 0 = 6*f - j + 2. Calculate the least common multiple of f and 7.
28
What is the smallest common multiple of -5 + (17 - -90) - 1*-7 and 9?
981
Suppose 5*v - 2*k = 130, 4*v - k - 104 = k. Let o(r) = -r + 26. Let d be o(v). Let y = 11 - d. What is the least common multiple of y and 1?
11
Suppose 47*p - 4514 - 20490 = 0. What is the smallest common multiple of 380 and p?
2660
Let y = 11496610/4701 - 366/1567. Let k = 2469 - y. Let l = 1597/63 - 244/9. What is the common denominator of l and k?
21
Let n be (-2714)/(-590)*1*(-10)/44. Let s = n - -17/11. Calculate the common denominator of 61/208 and s.
208
Calculate the common denominator of 23/(-3)*75/(-18775) and 39/2.
1502
Let m = 14 + 1. Let o(q) = -q**2 + 18*q - 71. Calculate the least common multiple of -5*(-2 - (-18)/m) and o(9).
20
Let z = -87 + -557. What is the common denominator of -2 + z/144 + 6 and 143/36?
36
Suppose 70*j - 14*j = 840. Let t(c) = 5*c + 2. What is the smallest common multiple of t(5) and j?
135
Let m = -16 + 20. Calculate the common denominator of -67/10 and (3/(-1275))/(m - 786/195).
170
Suppose -3*p - 3 = 3, -p = -3*q + 299. Suppose -7*z = -10*z - q. Let m = z - -42. What is the smallest common multiple of m and 18?
18
Suppose 5*s = 4*c - 56, 6*c + 2*s - 10 = 4*c. Suppose 2*p - 19 = -3*v + 21, 2*p = -8. Let b = 34 - v. Calculate the lowest common multiple of b and c.
18
Suppose 4854 = 2*q - 2*i + 1716, 5*i = -4*q + 6249. What is the common denominator of (1/24)/(24/q) and (165/(-22))/(((-9)/(-12))/(-1))?
32
What is the least common multiple of (14/6)/((-10)/(-30)) and 6/4 + 872/16?
56
Let b be 190/76 - ((-6)/9)/((-8)/(-6)). Let z = 91 - 49. What is the common denominator of -65/8 and ((-1)/(-10))/(b/z)?
40
Let t be ((-5640615)/1410155 + 4)*-1. Let l = t - -654312109/53303859. Let u = l - 388/27. Find the common denominator of u and 31/15.
105
Let i(v) be the first derivative of 49*v**2/2 - 178*v - 6. Calculate the lowest common multiple of i(4) and 270.
270
What is the common denominator of (-20)/6 - 476663/(-139876) and 61/374?
2244
Calculate the common denominator of 3375/1760 - (8 + -6) and 43/704.
704
Let c = -323 + 729. Find the common denominator of (-649)/c + (-42)/(-49) and 23/6.
174
Let f = 22129/18 - 1224. Find the common denominator of f and 14/151.
2718
Suppose 6*h = -12*h - 954. Calculate the common denominator of 10/15 - h*5/30 and -13/6.
6
Let w = -177407/18 + 9850. Let v = 86730 + -13269628/153. Find the common denominator of v and w.
306
What is the lowest common multiple of (90/8)/(7 + (-350)/(-160) - 9) and 27?
540
Suppose -5*b + 0 = -2*w - 2, -4*w = 4*b + 4. Suppose b = k - 4*g - 10, 3 = -5*g - 7. Calculate the lowest common multiple of k and (-1)/(-4)*(398 - 382).
4
Let x = 254665595/1248 + -204059. Calculate the common denominator of x and -71/320.
12480
Suppose -3147 = -8*r + 3541. Let g = r + 496. Find the common denominator of (2/(-117))/(12/g) and 137/30.
390
Let b(j) = 7*j + 133. Calculate the smallest common multiple of (-4)/(-12) - ((-15)/9 - -1) and b(-18).
7
Calculate the common denominator of 54/715 and -3 - ((-338812)/124605 + (-2)/9).
19305
Suppose 583 = -16*a - 265. Let m = a - -57. Calculate the smallest common multiple of m and 4.
4
Let b = -14 + 72. Let h = b - 30. Suppose h + 26 = 3*k. Calculate the lowest common multiple of k and 8.
72
Let t = 517/994 - -313/71. Let u = 63258122809/118862238 + 1/1800943. Let q = 1609/3 - u. What is the common denominator of t and q?
154
Let f = -26 + 49. Let r = f + -18. Suppose z + 0*z = -4*l + 41, 0 = -z - r*l + 42. Find the common denominator of z and -3/17.
17
Suppose -8910 = -3*a - 0*a. Let v be 639/a + 4/(-10). Let s = v - 1/66. Calculate the common denominator of -76/3 and s.
15
Let w(o) = 3*o**3 + 6*o**2 + 23*o + 132. What is the smallest common multiple of w(11) and 1044?
45936
Let x be (12 - 14)*(2978/24 - 0). Let m = 230 + x. Let q = m - -33/2. Find the common denominator of q and 36/5.
15
What is the common denominator of ((-51)/6)/((-641745)/234) and -56/11?
60335
Let y(a) = 0*a + 35 - 13 + 139*a**3 - 17 - 3*a - a**2. Calculate the lowest common multiple of 112 and y(1).
560
Suppose 13*j = 7*j + 120. Suppose -3*g = 4*w - 26 - 32, g + w - j = 0. What is the lowest common multiple of g and 72?
792
Calculate the smallest common multiple of 6 and 2*3 + (-154 - -520).
372
Calculate the lowest common multiple of 4534 and (-34)/(884/(-390)) + -5 + 0.
22670
Let g be (35/7 - 6)/((-90)/2981708). Let q = -33132 + g. Find the common denominator of q and -28/55.
495
Let d(x) = x + 6. Let y(v) = 3*v**2 + 437*v + 5776. Calculate the least common multiple of y(-131) and d(6).
12
Let s be 273/468*(-2420774)/210. Let d = -33607/5 - s. Let c = 1080 + -25915/24. What is the common denominator of c and d?
72
Let a = 46051 - 2486665/54. Find the common denominator of a and ((-2)/32)/(6 + -11 - (-5234)/1048).
108
Let h(b) = -b**3 + 32*b**2 - 23*b + 4602. What is the lowest common multiple of h(0) and 7670?
23010
Suppose -9 = -2*w - 5. Let b be ((-24)/(-28))/(9/42). Suppose 56 = b*a + 4*r + 20, 5*a - 10 = w*r. Calculate the smallest common multiple of a and 6.
12
Calculate the lowest common multiple of (-1 - 80/(-30))*-1*3 + 159 and 396.
2772
Suppose -f - 2*f + 6 = 0. Let a be (4 - (-2 - -4))/f. Find the common denominator of -131/18 and (185/35)/a + -2.
126
Suppose 2*x = 8*x - 936. Suppose -6*m = 5*s - 3*m - x, 10 = 5*m. What is the least common multiple of 3 and s?
30
Let k(b) = -11*b + 40. Let f be k(4). Let j = -26/677 - 19061/14894. Find the common denominator of j and f/(-10) - (-2 - 1805/(-200)).
88
Let v = -457/17 + 21976/765. Find the common denominator of (174/160)/((-4)/(-8)) and v.
360
Suppose 596*h - 20 = 592*h, -5*p + 162695 = -h. Calculate the least common multiple of p and 6.
97620
Let o(b) = 315*b**2 + 5*b - 5. Let y be o(5). Let z be (-18)/(((-60)/(-26349))/(-1)). Let g = z - y. Find the common denominator of g and -24.
10
Let m(l) = 10*l + 133. Suppose -5*h - 2*r - 25 = 0, 3*r - 4*r = -h - 12. Calculate the smallest common multiple of m(h) and 9.
63
Suppose 2*x - 184 = -4*q, 129 = 3*q + 31*x - 34*x. Suppose 5*h - q = -j, -5*h = -h - j - 45. What is the least common multiple of h and 220?
220
Let g = -17612 + 18515. Calculate the lowest common multiple of g and 3.
903
Let s = -125961457/530 + 237663. Calculate the common denominator of 24/1325 and s.
2650
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