387 - 1/30709. Let f = 62 + k. What is the common denominator of f and 31/35?
35
Suppose -22*r + 10 = -20*r. Suppose x - 6 = r*x + 2*i, -13 = 2*x + 3*i. What is the common denominator of 1/x + -4 + (-279)/6 and -39/34?
34
Let a be 2/12*32909*20/(-30). Let k = 3661 + a. Calculate the common denominator of k and 11/12.
36
Suppose -4206*h + 4211*h - 1045 = 0. What is the smallest common multiple of h and 76?
836
Suppose 5*f - 17136 - 1308 = -4*q, 7404 = 2*f - 5*q. What is the smallest common multiple of f and 213?
11076
Suppose -l - 325 + 329 = 0. Suppose -15*b + l = -13*b. Calculate the least common multiple of 264 and b.
264
Let z be 1993/2 - (-1)/(-2). Let b = z + -14978/15. Calculate the common denominator of b and 2 - -93*(-8)/(-216).
45
Calculate the common denominator of 123/238 and 44/66 + (-952)/105.
1190
Let u = -1111/18 - -404/9. Calculate the common denominator of u and -22/73.
438
What is the common denominator of 73/759 and (4 + 10000/(-2484))/((-3)/12)?
6831
Let q(v) = 8*v + 48. Let a be q(-5). Suppose 2*c = -a*c + 480. Calculate the lowest common multiple of 72 and c.
144
What is the common denominator of 47/190 and (-18)/(38*32/(-176))?
190
Find the common denominator of (4*46/(-115))/(-2 - 272/25) and -137/4554.
31878
Let u be (-2 + 1)/(7/(-12033)). Let n = -6913/4 + u. What is the common denominator of 3350/396 - (-16)/(-88) and n?
36
Let k = -62 - -103. Suppose -7*z - k*z + 528 = 0. What is the least common multiple of 1 and z?
11
Let p = 85 - 69. Let f(b) = 5*b + 62. What is the lowest common multiple of p and f(0)?
496
Let f be 2 - (-26 + -2 + 2). Suppose -w = -4*w + 5*q + f, 5*w + q - 28 = 0. What is the smallest common multiple of w and (-15 - (-15 + 12) - -1) + 33?
66
Suppose -3*c + 83 = 5*o, -5*c - 4*o + 165 = -o. Let d(z) = z**2 - 4*z + 3. Calculate the lowest common multiple of c and d(-7).
720
Suppose 8 = 4*o - 0*o. Suppose -17*j = -c - 13*j + 6, -4*j = o*c - 60. What is the lowest common multiple of c and 170?
1870
Suppose -8*y - 52 = -21*y. Suppose y*b - 66 = v, -5 = -2*b - v + 25. What is the smallest common multiple of b and 6?
48
Suppose 9 = -2*f + 3*f - 4*a, 2*a + 36 = 4*f. Let p = 4786 - 4741. What is the least common multiple of f and p?
45
Let u be (1496 + -2)/(3/(-6)). Let a = u + 271951/91. Find the common denominator of -50/63 and a.
819
What is the common denominator of 173980/(-15768) + (6 + -7)*-11 and 95/18?
3942
Let l be (-24)/(-132) + 7916/22. Suppose 0 = 37*u - 22*u - l. Suppose w - 6*q - 12 = -3*q, 3*q + 30 = 4*w. What is the least common multiple of w and u?
24
Let n = 1655371/161500 - -1/40375. Calculate the common denominator of n and 86/4215.
16860
Let k = 4396 - 11601. Let x = 994237/138 + k. Calculate the common denominator of x and -38/51.
2346
Let f = 75075 - 16216151/216. What is the common denominator of f and -67/405?
3240
Suppose -14 = 4*o + 2*p, p = -o - 0 - 5. Let c = 262 - 267. What is the common denominator of (7 - 8)*(7/c - o) and 37/10?
10
Let a = -503 + 488. Calculate the common denominator of 18/a + (-1334)/(-220) and -5/68.
748
Suppose -5*x - 72237 = -6*x. Let t = x + -506817/7. Let l = t - -165. Calculate the common denominator of 11/3 and l.
21
What is the common denominator of -103/110 and (-570)/(-75)*(-40)/(-3168)?
990
What is the common denominator of 47/405 and (-9 + (-4449)/(-486))*(133/42 + -3)?
4860
Let b(q) = 11*q - 6. Suppose -8*o + 13*o - 1257 - 613 = -12*o. What is the lowest common multiple of o and b(6)?
660
Let x be ((2100/(-666))/14)/((-2)/42). Let h = 17911/148 + x. Let o = 361/4 - h. Find the common denominator of 13/7 and o.
14
Calculate the common denominator of 9975/504 + (-4 - 18) and -131/9378.
37512
Let o = 1195/6 - 2591/12. Let s(u) = 27*u + 4*u - 7 - 127 - 150. What is the common denominator of s(10) and o?
4
Suppose 40*b = 17*b - 3565. What is the common denominator of ((-202)/300)/((-62)/b) and 57/100?
300
Let g = 373 - 213. Let l be 1802/(-12) - (-9)/54. Let f = g + l. What is the smallest common multiple of f and 112?
560
Let b be 1/2*(-4 + 6). What is the common denominator of -39/4 and ((-2)/(-10))/(b/(86/2))?
20
Let l = -37471761067/170 + 220423233. Let i = -1109 + l. What is the common denominator of i and -55/4?
340
Let z(b) = 2*b**3 + 41*b**2 + 61*b - 76. Calculate the smallest common multiple of z(-16) and 36.
11268
Let v(h) = h**3 + 6*h**2 - h + 2. Let l = -930 + 948. Let f(k) = -k**3 + 21*k**2 - 51*k - 44. Calculate the lowest common multiple of v(-6) and f(l).
40
Let g(j) = 75*j - 6534. Suppose -4*c = a - 74 - 4, a + 3*c - 75 = 0. Calculate the lowest common multiple of a and g(88).
66
Let f = -10080193/146121360 + -1/118605. What is the common denominator of f and 19/308?
1232
Let w = 2532 + -50759/20. Let a = 19/302 - -13037/13590. Find the common denominator of w and a.
180
Calculate the least common multiple of 1772*3/36*9 and 4873.
14619
Let b(i) = 2*i**2 + 31*i + 81. Calculate the lowest common multiple of b(-15) and ((-256)/160)/((-4)/90).
396
Let s = -685271261/1740 + 393834. Calculate the common denominator of 43/165 and s.
19140
Let q = 32959/566169 - 6/4603. What is the common denominator of q and 11*(-5)/550*-61*(-10)/(-4)?
492
Let z = -33437199/280 - -119419. Calculate the common denominator of 109/24 and z.
840
Let o(u) = 15*u**2 - 4*u + 4. Let w be o(-2). Suppose -w = -24*a + 12*a. What is the smallest common multiple of 32 and a?
96
Let x(c) = -7*c - 4. Suppose -14588 + 4175 = -267*n. What is the smallest common multiple of n and x(-4)?
312
Let r = -4016/11883 + -104/233. Let d = 1431 - 11423/8. What is the common denominator of r and d?
408
Let n be ((-76)/6)/((-16)/24). Suppose 17*l + 4 = n*l. What is the smallest common multiple of 10 and (2/2)/(l/16)?
40
Suppose 2*w - 49 = 5*i, w = 2*w + 5*i - 2. Let y(j) = -j**3 + 19*j**2 - 21*j - 65. What is the lowest common multiple of 66 and y(w)?
1716
Find the common denominator of 83/200 and (-24)/(-3) + ((-14121)/1800 - 0).
200
Suppose -c - 203 = -24*c + 625. Calculate the least common multiple of 216 and c.
216
What is the common denominator of ((-3474)/315 - -11)/((-40)/25) and 8/49?
392
Let q = -421842293/1116 - -377995. What is the common denominator of 21/620 and q?
5580
Let y = -125843/63420 + 1/1057. Find the common denominator of 63/10 and y.
60
Let m = 490 + -1112. Let j = m + 638. Let d(r) = -r. What is the smallest common multiple of d(-2) and j?
16
Suppose -7*y + 4*y = 3*t - 87, 5*y = -4*t + 115. Calculate the least common multiple of 366 and t.
1830
Let g = 94641/42164 + -193/83. Calculate the common denominator of -29/112 and g.
14224
Let x = -2/150811161 + -2434242949213/36797923284. Let o = x - 6/61. Let w = 67 + o. What is the common denominator of w and 93/10?
20
Find the common denominator of 5/((-180)/6) + 301/24 and 175/7 - (0 + -1).
8
Let o = -37 + 53. Let z = o - 21. Let l = z + 16. What is the lowest common multiple of l and 7?
77
Let r = 998 + -1002. What is the lowest common multiple of ((-18)/5)/(r/920*4) and 15?
1035
Suppose -3*h = -2*h - 23. Let k = -127 + 128. Let t = k + h. Calculate the smallest common multiple of t and 24.
24
Suppose 3*z - 86137 = -341254. Let x = z + 6122687/72. What is the common denominator of 111/20 and x?
360
Let m(q) = 8*q**3 + 4*q**2 - 7*q - 5. Let t be m(-4). Let o be (-5 + 438/90)/(2/(-6260)). Let k = o + t. Calculate the common denominator of 89/10 and k.
30
Let h(w) = 3112*w + 15596. Let m be (1*-1)/(1/31). Let l = -19 - m. What is the smallest common multiple of l and h(-5)?
36
Find the common denominator of (114/32)/(414/(-92)) and 3 + 0 + 1 + (-166)/76.
456
Suppose -138*c - 102 = -135*c. Let g(t) = -4*t - 124. Calculate the lowest common multiple of g(c) and 20.
60
Let q = 6280 + -6274. What is the smallest common multiple of 3952 and q?
11856
Let w = -16925 + 304519/18. Let o = -228 - -225. What is the common denominator of w and 58*(-36)/66*o/(-24)?
198
Let l = -4810 - -303070/63. Calculate the common denominator of (-4 + 94/3)/18 and l.
189
What is the common denominator of 19/792 and (148 + -45)*(10/88)/(-5)?
792
Suppose 5*z = -3*k + 24, 5*z - 28 = -5*k + 4*k. Calculate the least common multiple of 13 and (-190)/(-60) + ((-7)/z)/7.
39
Let s = -16369 - -16425. What is the lowest common multiple of 5896 an