 165 = -253*r. What is the common denominator of 5/4 and (r - 26)/((-1)/1*383)?
1532
What is the least common multiple of 2185/19 + -1*(-2 - -9) and 216?
216
Suppose f + 0*j - 4*j = 1707, 5*j + 5142 = 3*f. Let y = 1174 + f. Let h = 31857/11 - y. Calculate the common denominator of h and 43/9.
99
Let c = -1310224663/1170 - -1119850. Calculate the common denominator of 131/702 and c.
3510
Let c(x) = x. Let u(r) = 2*r + 4. Let j(p) = 5*c(p) - u(p). Let y be (-10 + 2 - 7)/(-3). Calculate the lowest common multiple of j(y) and 8.
88
Suppose 26*g = 15*g - 9548. Calculate the common denominator of 2/7 + -18*(-13)/g and -81/2.
62
Calculate the common denominator of ((-329)/(-528) - (-110)/(-1815))/(-24) and 3/688.
5504
Calculate the lowest common multiple of (-11 + 1)*(1 + (-40)/10) and 90.
90
Suppose 167129 = 56*g - 28138 + 8787. Calculate the least common multiple of 810 and g.
29970
Suppose 2114 = -5*g + 2*m, 14*m = 4*g + 11*m + 1694. Let a = g - -429. Calculate the lowest common multiple of a and 4.
28
Let a be ((-4)/(-5))/((-24)/(-10740)). Let b = -346 + a. What is the smallest common multiple of 52 and b?
156
Let k be (78/9)/(1/3). Suppose 11*w = 180 - k. Calculate the lowest common multiple of w and 124.
868
Suppose 8*y + 289 - 2209 = 0. Suppose -30*z = -25*z - y. Calculate the lowest common multiple of 80 and z.
240
Let w = 4957139/10680 + -6962/15. Let c = -28336 - -509915/18. What is the common denominator of c and w?
6408
Suppose 11*m = 93 + 248. What is the least common multiple of m and 124?
124
What is the common denominator of -109/1240 and (273/420)/((-212)/(-24) - (-4)/(-18))?
6200
Suppose -42*c = 26*c - 1904. What is the lowest common multiple of 104 and c?
728
Let r(v) = -2*v + 12. Suppose 1 = 5*g - 4*g + z, 4*z + 5 = -g. Calculate the lowest common multiple of g and r(-5).
66
Suppose -5*u + 88 = 8. Suppose 4*t = -u, 4*a - a + 8 = -2*t. What is the lowest common multiple of a/1 + -1 + 2 + 19 and 22?
220
Suppose -2 = -5*b - 5*g + 3, -5*g + 11 = -b. What is the lowest common multiple of 1 - -1 - 0 - 1 and (8/76)/b - (-580)/95?
6
Suppose -3*u = 5*r - 38 + 4, 5*r - 37 = -4*u. Suppose 0 = 5*p + m - 36, 3*p + 0*m = u*m + 36. What is the common denominator of ((-207)/6)/(11 - p) and 59/30?
30
Let k = -27252/11 - -109101/44. Let c = 2477 - 12442/5. What is the common denominator of k and c?
220
Calculate the smallest common multiple of -460 + 458 - 2*-596 and 357.
3570
Suppose v - 2*w = -58, -2*w = -3*v + 2*w - 164. Find the common denominator of (0 + 2 - v)*75/700 and -13/49.
98
Calculate the common denominator of (232/(-32) + 7)*3725/(-2025) and 25/783.
9396
Suppose 0 = 16*t + 32 - 0. Calculate the common denominator of 7/10 and t/(-6) + 107/(-141).
470
Let c(n) = -5*n - 3. Let r be c(-4). Suppose -42*u = -15*u - 81. Suppose r = 2*o - 3*z, 0*o = -4*o - u*z + 25. What is the lowest common multiple of 5 and o?
35
Let h = 363561 - 414096028/1139. Calculate the common denominator of -63/170 and h.
11390
Let f = 580 - 362. Suppose 5*o - f = -4*q, 3*o - 7*o + 5*q + 158 = 0. What is the least common multiple of o and 20?
420
Let v = -77702 - -709496964/9131. Let x = -630055/73048 + v. Suppose -117 = 3*t - 0*t. What is the common denominator of t and x?
8
Suppose 133 = -6*m + 2089. Suppose 11*u - 510 = m. Calculate the smallest common multiple of u and 3.
228
Let k(c) = 10*c**3 - 7*c**2 - 3*c - 21. Let b be k(-5). Let i = b + 5795/4. Let z = 36571/38324 + 1/3484. What is the common denominator of i and z?
44
Suppose -4*g - 10*g = -168. Calculate the common denominator of -99/2 and (10/55)/(g/(-225)).
22
What is the common denominator of 151/90 and 54/(-144) - (-323)/576?
2880
Let p = 8821/10 - 887. Find the common denominator of 2 - (4 + 142/40) - 0 and p.
20
Let k(m) = m**3 - 6*m**2 + 8*m - 7. Let t(u) = -2*u**2 + 31*u - 40. Let n = 180 - 166. What is the lowest common multiple of k(5) and t(n)?
8
Suppose 4*h + 50 = 5*i, -3*h - 38 = -5*i + 12. What is the common denominator of (-69)/132 - (-5)/i and 45/8?
88
Let x(w) = -3*w**2 + 54*w + 268. What is the least common multiple of x(-4) and 5?
20
Let l = 937/18 - 7295/144. Find the common denominator of l and -127/42.
336
Let k be 6/(-15) - (-172)/5. Suppose -4*p - 6 = k. What is the common denominator of -19/7 and (129/p + 0)/(-33)?
770
Let d(j) = -25*j + 172. Let z be d(13). Let a = 162 + z. Calculate the lowest common multiple of 21 and a.
63
Let i(f) = f**2 + 11*f + 4. Suppose -4 = x, 4*j + 3*x = 5*x - 44. Calculate the smallest common multiple of 12 and i(j).
60
Suppose 0 = 3*t - 5*g - 730, 0 = 79*g - 80*g + 1. What is the smallest common multiple of 42 and t?
1470
Let c be (2 + 0)/(8/36). Suppose 3*b - 18 = -3*t, 3 - c = -t + 5*b. Suppose -7*d + 6*d + t = 0. What is the lowest common multiple of 1 and d?
6
Let q = 2/16297 + 602961/228158. What is the common denominator of q and -1*1275/1197 - 879/(-4102)?
798
Let b = 1507 - 37669/25. Let s = 2899507/4415550 + 1/117748. Let t = s - b. Find the common denominator of t and -27/34.
204
Let m = 4 - 0. Suppose -1 = -m*k + 47. What is the lowest common multiple of -594 - -613 - 9/(-3) and k?
132
Calculate the lowest common multiple of ((5/20)/(-1))/((-26)/3120) and 7380.
7380
What is the common denominator of -95/192 and 504/(-384)*((-2)/8 + 142/360)?
960
Suppose 2*q - 10 = -2*w, 5*w - 4*q - 32 + 16 = 0. Find the common denominator of 7 - -556*w/(-208) and 42/23.
299
Let b = -70583/184 - -8889/23. Find the common denominator of b and (-38)/13 - -1*1.
104
Let c be (-6)/33 - (-5 + 212/44). What is the common denominator of (c - 6/110)/(156/1170) and 47/28?
308
Let v be ((-33)/(-77))/((-6)/(-5873)). Let t = v + -405. Let a = 1036 + -4201/4. What is the common denominator of a and t?
4
Let k = -1 - 59. Let c(z) = -45*z**2 - 2*z - 2. Let r be c(-1). Let l = r - k. What is the least common multiple of l and 10?
30
Let b(g) = -13*g + 3. Let s be b(3). What is the smallest common multiple of (3255/63)/((-10)/s) and 18?
558
Let r = 21 + -1. Suppose 0 = -0*c - 8*c - 3768. Let q = c - -485. Calculate the lowest common multiple of r and q.
140
Suppose 0 = -14*a - 3*a - 476. Let x = -2332425/118 - -19766. Calculate the common denominator of x and a.
118
Suppose -2*q = -b - 9, 12 = -b + 5*b. Suppose 3*j - 70 = -2*r, -3*j - 2*r - 26 = -4*j. What is the lowest common multiple of j and q?
24
Suppose 218 = 3*w + 2. What is the smallest common multiple of w and 432?
432
Let b = -1072/25 - -27868/475. Let q be (-4)/12 + (-1105)/76. Let p = q + b. What is the common denominator of 15/16 and p?
48
Let m = 66171 + -3573373/54. Let l = 223/257 + 13499/18504. Find the common denominator of l and m.
216
Let f(u) = -u + 10. Let q be f(6). Suppose 5*h + q*h = 0. Calculate the common denominator of h - (1 - 4/44) and -6/85.
935
Suppose -1495 = 11*g + 155. Let j = g - -152. What is the smallest common multiple of j and 19*(0 + 2)/2?
38
Let s be 2802 + -16 + (0 - 2). What is the common denominator of 47/1312 and 7018/s + (-4)/3?
1312
Suppose l = -6*y + 22, -1 = -l - 339*y + 340*y. What is the smallest common multiple of l and 3374?
6748
What is the common denominator of (-119)/91*55/231 and -11/2275?
6825
Calculate the common denominator of 27/1096 and (-267)/15*(304/2888 - 446/2432).
8768
Let l(t) = t**2 - 5*t - 3. Let d be l(-4). Suppose -66 - d = -9*v. Suppose 5*m - v*m = -90. Calculate the lowest common multiple of 5 and m.
15
Let p be (153/157 + -1)*(-28)/504. Let b = -1765521615 - -4989364136275/2826. Let c = p - b. Find the common denominator of c and -8/23.
46
Let j(v) be the third derivative of v**6/120 - 5*v**5/12 - 55*v**4/24 + 4*v**3/3 - 59*v**2. What is the common denominator of j(27) and 15/14?
14
Let p = -295/8 - -38. Let b = 41668673/52 - 801286. Let v = b - 135/13. Calculate the common denominator of v and p.
8
Let o = -213 + 249. Find the common denominator of 77/213 and 19/6 + 2/(o/6).
426
Suppose -4*u + 20 = 0, -3*h + h + u = 531. Let w = h + 355. What is the smallest common multiple of 8 and w?
184
Let i = 613030761/730 + -839768. Calculate the common denominator of 149/1314 and i.
6570
Suppose -3*r - 4*a + 276 = 0, 5*r - 61 = 2*a + 347. What is the lowest common multiple of 14 and r?
84
Let f = 114 - 5. Let y = 131 - f. Suppose -2*g - 3 + 7 = 0. What is 