 53/(-3) + -3 + o/(-15). Calculate the common denominator of (2/195)/(z/(-1330)) and -67/33.
429
Let o(j) = -9*j - 96. Let h be o(-11). Suppose h*m - 3*p = -8*p + 18, 5*p - 17 = -2*m. Let k = -12 - -16. What is the least common multiple of m and k?
4
Let k = 42 - 8. Let m(p) = 8*p**3 - 77*p**2 + 107*p - 10. Calculate the smallest common multiple of k and m(8).
238
Let x be ((-4)/6)/((-12)/(-54)). Calculate the smallest common multiple of 90/11 - 4/22 and 3*(-2 - 8/x).
8
Let l = 7628135/84 - 90813. Find the common denominator of -86/375 and l.
10500
Let k be (-153705267)/(-60) + (-5)/(-20). Let i = -2555438 + k. Let q = 6322 - i. What is the common denominator of 3/2 and q?
10
Let l(h) = -2*h - 12. Let k be l(-6). Suppose 1232 = -k*b + 7*b. Suppose -4*n + 0*n = -b. Calculate the least common multiple of n and 6.
132
Let g be (13/(-52))/((-2)/(-8)). What is the common denominator of g/((-5)/(65/(-31))) and (0 - 27)*1/(-7)?
217
Let h = -374859/122038 + 2/8717. Let i be -8*((-567)/2)/(-7). Find the common denominator of -2 + (i/56)/(-3) and h.
14
Let z = 37976 + -37968. Calculate the least common multiple of 168 and z.
168
Suppose 19*v - 692 - 2230 = 2930. What is the lowest common multiple of v and 266?
5852
Let p be (718/(-6))/(-9 - 12). Let c = -36/7 + p. Find the common denominator of c and 9/8.
72
Let w(k) = -56*k - 1592. Calculate the least common multiple of 4580 and w(-32).
45800
Suppose 20 + 34 = -6*s. Let n be s/54 + (-26)/(-12). What is the common denominator of n/12*(-175)/(-30) and -73/21?
252
What is the common denominator of -41/70 and (-149)/298 - 248/(-140)?
70
Suppose -2*t = -4*t + 2*j + 4, 0 = -j. Let z = 14 + 43. Calculate the smallest common multiple of 3 - z/21 - (-165)/35 and t.
10
Find the common denominator of -97/14 and -11 + -10*6482/(-5992).
1498
Suppose -i = -5*b - 2*i - 2450, -5*i + 490 = -b. Let t = -476 - b. Calculate the smallest common multiple of 1940 and t.
13580
Find the common denominator of 72/(-20) + (-6744)/(-1200) and (-74)/(110*2/(-3)).
550
Let f = -9185/1116 - -163/31. Calculate the common denominator of f and (8/2*(-1075)/3010)/((-54)/28).
108
Let d = 4 + 5. Suppose 0 = 5032*g - 5024*g - 320. What is the smallest common multiple of d and g?
360
Let x(g) = -g**3 + 3*g**2 - 4*g + 2. Suppose 65 = -l + 68. Let b be x(l). Let y(m) = -m**2 - 9*m + 14. What is the smallest common multiple of 18 and y(b)?
36
Let d = 196 + -138. Let s = d + -55. Suppose -s*y = 7*y - 40. Calculate the lowest common multiple of y and 8.
8
What is the common denominator of (340/(-75) - 10)/(((-1536)/(-20))/4) and 119/912?
2736
Suppose r = -5*t - 5, r + 3*t = -0*r - 1. Suppose 2*o + 128 = a + o, r*o + 262 = 2*a. What is the smallest common multiple of a and 28?
252
Suppose -986 = -54*f + 1764 - 590. What is the lowest common multiple of f and -10*(1/(-2))/1?
40
Suppose 0 = m - 4*z - 678, -5*m - z = -3*z - 3480. Find the common denominator of -107/12 and 7 + (m/(-60) - 1).
60
Let v(q) = 21*q**2 + 256*q - 53. Calculate the least common multiple of 912 and v(9).
11856
Let l = -84 - -84. Suppose 0 = 3*b - l*b - 3. What is the smallest common multiple of 7/b*(-6)/(-21)*7 and 4?
28
Let n = -3935 + 4000. Calculate the lowest common multiple of n and 2509.
12545
Calculate the common denominator of -77/360 and (-4)/168*-21 + (-229)/240 + 0.
720
Suppose -18*r = -15 - 39. Suppose -u - 2*d = -2, -r*u = -d - 48 + 28. Calculate the lowest common multiple of u and 21.
42
Suppose -4*q + 3*w = -949, -q + 4*w + 175 = -59. Calculate the smallest common multiple of q and 2.
238
Let p(q) = q**3 + 17*q**2 + 31*q + 35. Let g(y) = 2*y - 27. Let w be g(6). What is the smallest common multiple of 5 and p(w)?
20
Let d(o) = 3*o**3 - 3*o**2 - 134*o + 270. Calculate the lowest common multiple of 1518 and d(2).
10626
Let n = 30501 - 2378965/78. What is the common denominator of n and -41/42?
546
Let t = -2155001/20 + 107938. Let z = t + -717/4. Find the common denominator of z and 202*(205/(-10) - -21)/(4*-2).
40
Let f be 8/((-120)/(-453)) + (-1)/5. Calculate the common denominator of -95/52 and ((-5)/f)/(5/(870/14)).
364
Let z(v) = -v**3 - 13*v**2 - 17*v - 46. Let m be z(-12). Calculate the common denominator of (-3992)/840 + 18/m + -1 and 33/40.
120
Suppose -13*c - 2178 = 55477. Let h = 79703/18 + c. What is the common denominator of h and 71/54?
54
Suppose -2*y + 1040 = -h, 3*h + 47 = y - 463. What is the smallest common multiple of 145 and y?
2610
Suppose 3696*o = 3695*o - 4 + 24. What is the lowest common multiple of o and 3495?
13980
Let o be 7 - (-24)/(-11 + 3). Calculate the common denominator of (-236)/(-3)*(-1)/(-8) and (-1425)/275 + o + -2.
66
Let x = 6871/53130 + -4/5313. Let u = -38337/10 - -3828. What is the common denominator of x and u?
70
Suppose -11*y = -13*y - 36. Let j be 4/y + 592/(-9). Let l = j + 730/11. Calculate the common denominator of -32/3 and l.
33
Suppose 2*j + k = 188, 4*j + 2*k - 376 = -k. Suppose 0 = -o + q + j, -q + 381 = -0*o + 4*o. Calculate the least common multiple of 55 and o.
1045
Let z(t) = -t**2 + 4*t + 23. Let d be z(6). Suppose d*k = 8*k + 162. What is the lowest common multiple of 6 and k?
54
Let l = -1685 + 97727/58. Calculate the common denominator of l and (5/(-4)*(-18)/(-81))/(20/(-412)).
522
Let u = -502/11 - -12711/286. Let i = -633/13 - u. Calculate the common denominator of i and -53/28.
28
Let b(q) = -5*q - 14. Let f be b(-3). Let l be 8078385/1526760 - 3*f. Let p = -2/4241 - l. Calculate the common denominator of p and -55/4.
24
Suppose s - 3*s + 23*s - 105 = 0. What is the lowest common multiple of s and 3874?
19370
Suppose -22*v + 11 = -55. Suppose 4*j = -5*h + 31, 0*j + 27 = 5*h + v*j. Let c = 2 + 0. Calculate the smallest common multiple of c and h.
6
Let l = 743771/169 + -4401. Let w = -109/124 - -1/248. Calculate the common denominator of w and l.
1352
Let y = 36 - 22. Let u = -186 + 187. Calculate the lowest common multiple of (u + (-2)/4)*(-1 + 17) and y.
56
Let h(o) = 3*o**3 - 340*o**2 + 114*o - 140. What is the common denominator of -17/789 and h(113)?
789
Let i(u) = 11*u**2 - 3*u - 2. Let h = 2040 + -1932. Calculate the least common multiple of i(-2) and h.
432
Let l = -44480 + 91543/2. Let v = l - 1322. What is the common denominator of v and 2/(7*-2) - -8*1513/1904?
14
Suppose 18 - 153 = -5*f. Let l = 1595 - 1611. Let a = f + l. What is the smallest common multiple of 31 and a?
341
Let f = -28723/10812 + 113/53. What is the common denominator of -73/132 and f?
2244
Let u = 169 - 185. Let d(t) = -t**2 + 9*t + 1. Let v be d(6). Calculate the common denominator of 29/28 and (v/6)/((-12)/u).
252
Let m be ((-14)/6)/((-123)/(-306)). Let l = m + 9173/1107. Calculate the common denominator of l and (-3)/(-24) + ((-6346)/(-240) - 27).
270
Suppose -3*k = 0, 5*o + k - 11 = 4*k - 1. What is the least common multiple of 5734 and o?
5734
Let r be (-4)/(1 - (-2 + 1)). Find the common denominator of r/(-8) + 200/32 and 1*(294/(-16))/3.
8
Suppose 0 = -3*t + h - 21 - 1, 20 = -2*t - 2*h. Calculate the common denominator of -67/10 and 4343/(-14964) - (-2)/t.
870
Let p = -4049 - -4217. Calculate the lowest common multiple of p and 54.
1512
Let t = -14/24229 + -205825271/145374. Let h = 2546 + -1119. Let v = h + t. Find the common denominator of -89/10 and v.
30
Let i(c) = 41*c**3 - 4*c**2 - 17*c + 72. What is the least common multiple of i(3) and 507?
14196
Let q = -134/79 + 11519/3950. What is the common denominator of q and -83/4510?
22550
Let i be (-1 - 2) + (-3 - 0 - 0). Let w = -39/106 + 3257/2226. What is the common denominator of w and (-205)/(-30) + i*2/(-4)?
42
Let m = 542607971/4154 + -130623. Calculate the common denominator of m and 9/10.
20770
Let s = -13501/130 - -1224/13. Calculate the common denominator of s and -83/956.
4780
Let q = 121 + -41. Calculate the least common multiple of 3 and ((-32)/32)/((-2)/q).
120
Let r(a) = -7*a**2 - 39*a + 1. What is the smallest common multiple of r(-4) and 12?
180
Suppose -33 = -2*k - 5*j, -j = k - 3*j - 30. Suppose 0 = -k*h + 4*h + 4240. Calculate the smallest common multiple of h and 22.
2332
What is the common denominator of 89/644 and (143 - 138) + (-7298)/1472?
5152
Let z = 86/303 + -35273/48480. What is the common denominator of 85/336 and z?
3360
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