5
Let w = 618945 + -325868. Let k = 113713799/388 - w. What is the common denominator of 29/6 and k?
1164
Suppose -5*r = 4*y - 30, 11 + 9 = 4*y. Let o be -3 - (15904/12)/r. Let l = o - -690. What is the common denominator of l and 93/2?
6
Find the common denominator of 61/54 and (-14)/(-3276)*((-194)/(-8))/(9/(-12)).
702
Suppose 0 = 2*r - 4*n - 0 + 22, n + 44 = -4*r. Find the common denominator of (-4855)/(-3410) + 2/r and ((-6)/(-28))/(((-1008)/(-5537))/8).
372
What is the common denominator of 73/66 and (-5452)/(-6)*((-936)/(-16104))/(-13) - -4?
4026
Let j = -776 + 790. What is the smallest common multiple of (3136/(-12))/((-4)/6) and j?
392
Let g be -6*(2/(-6) - 0). Suppose g*i - 4 = i. What is the smallest common multiple of 16 and i?
16
Let t = 16238 + -2159681/133. Calculate the common denominator of t and 38/35.
665
Let h be 5 - (-10 - (-3 + -2)). Suppose 2*m + 45 = c, -5*c + 230 = 5*m - h. Suppose 0 = c*u - 46*u - 2. Calculate the least common multiple of 7 and u.
14
Let l = 16848 + -11593. What is the smallest common multiple of 40 and l?
42040
Suppose -5*j + 0*j = -2*i + 4, 5*i = 4*j + 27. Suppose 2*k + 5*t + 3 = 0, 5*k - 2*k - t = 21. What is the least common multiple of ((-4 - 1) + k)*1 and i?
7
Let j = -517 + 245. Let v = j - -282. What is the lowest common multiple of v and 16?
80
Let o be -4 + (3 - (5 + -26)). Find the common denominator of 158/o + (-60)/(-24) and -13/32.
160
Suppose -43800 = -18*l + 6*l. Suppose -c - l = 4*c. Calculate the common denominator of 63/130 and ((-1)/(-35))/((-4)/c).
910
Find the common denominator of 27/8 and (-150)/175 - (-1915)/1344.
192
Let d be 3/(-2 - -5)*3. Suppose -d*w - 4 = -w. Calculate the common denominator of 3/(-5*(w/(-16) + 0)) and -59/3.
15
Let p(d) = 71*d**2 - 35*d - 35. Let q be p(-1). Let r = 138 - 79. Let m = q - r. What is the least common multiple of 42 and m?
84
Let f = 326193020 + -22832279847/70. Let z = f - 17593. Find the common denominator of z and -83/14.
70
Let r = -77 + 80. Find the common denominator of r/(-22)*(-1120)/63 and -79/12.
132
What is the common denominator of (-938)/(-468) + (-141)/(-1269) and (-4326)/180 + (-1)/(-5)?
78
Let k be (5/2 - 3)/((-1)/286). What is the common denominator of 63/44 and (1 - k/18) + 94/(-423)?
132
Suppose -4*r + 11 + 10 = b, 3*b - 5*r = 97. Suppose 11 = 6*o + b. Calculate the least common multiple of 16 and (1 - -2)/((-3)/114*o).
304
Suppose -5*l - 125 = c - 4*c, -3*c + 141 = 3*l. Calculate the smallest common multiple of c and ((-35)/(-140))/(((-2)/400)/(-1)).
450
Let h = 1189 + -681. Calculate the least common multiple of h and 508.
508
Let u(f) = -2*f**3 + 2*f**2 + f. Let w = -13 + 15. Suppose 0 = w*y + 3*y + 10. Calculate the smallest common multiple of 8 and u(y).
88
Suppose -47319 = -21*t + 37857. Let a = t + -231224/57. What is the common denominator of -19/6 and a?
114
Calculate the common denominator of -28/507 and ((-20339)/(-110))/43*(-1)/3.
5070
Let d(u) = -2*u**2 + 4*u + 43. Let y be d(-7). Let r = -80 - y. Calculate the least common multiple of r and 97.
291
Find the common denominator of 121/738 and 2 + (-160)/72 + -8 + 6548/864.
8856
Let t be 0 - 3 - (0 - 17). Suppose -3*x = -x - t. Calculate the least common multiple of x and 4.
28
Suppose 0 = 5*g + 15, 12*v = 11*v - 4*g + 948. Calculate the smallest common multiple of 640 and v.
1920
Let c = 26435 + -30664597/1160. Let i = c - -307/435. Calculate the common denominator of -45 and i.
24
Let o = -246 + 271. Find the common denominator of 51/11 and (-54)/(-1539)*3*o.
209
Calculate the lowest common multiple of 24 and -1 - (-112 + 15 + -12).
216
Suppose 0 = 5*j - 2*b - 3440, 3*j - 4*j + 2*b = -688. Calculate the least common multiple of j and 7.
4816
Let q be 382/(-22)*2 + 0. Let r = q + 8537/198. Calculate the common denominator of r and 1215/(-324) - 150/144.
72
Calculate the common denominator of (348/(-1624))/((-16)/5) and -67/108.
6048
Let z(m) = -16*m - 28. Let g be z(6). What is the lowest common multiple of (-5859)/g + 2/(-8) and 5?
235
What is the common denominator of (5/(-840)*-3)/((-16)/1824) + -2 and 65/346?
4844
Let d = -4838 + 5670. Calculate the lowest common multiple of 8 and d.
832
Let o = 151777/2008380 + -46/561. Find the common denominator of -51/1432 and o.
7160
Find the common denominator of -137/168 and 19353/3744 + 2/13 - 210/42.
672
Let a be (-1)/((-5)/15) + -676. Let b = 695 + a. Calculate the smallest common multiple of b and 16.
176
Let d(k) = -9*k + 63. Let p be d(27). What is the common denominator of -34/5 and 2 - 161*(-3)/p?
60
Suppose -5*f - t + 86 = 0, 40 = -f + 4*t + 32. What is the lowest common multiple of f and 918?
7344
Let u be (-8)/(-6)*(-24)/(-16). Let x(c) = -c**2 - 5*c + 134. Let f be x(11). Calculate the common denominator of 107/22 and u + -3 + (-87)/f.
154
Let k = 4 - -24. Let y(x) = 5*x - 3. Let r be 11 + -5 - (-3)/(-1). What is the least common multiple of k and y(r)?
84
Let k(y) = 9*y**2 - 129*y + 2000. What is the least common multiple of 77 and k(17)?
26488
Suppose -5*s = -8*s + 3051. Let b = 108488 - 429925/4. Let g = s - b. Calculate the common denominator of 11/6 and g.
12
Suppose 2*o = -a + 155, 2*o + 5*a - 37 = 98. Let p(c) = -c**2 - 743*c - 96168. Calculate the lowest common multiple of p(-167) and o.
240
What is the common denominator of 5/858 and 60/22*(-2)/(-4)*20/25?
858
Let a be (-2 - 11/2)*902215/(-279927). Let j = a - 10/1637. What is the common denominator of (-14)/(-2)*(-42)/(-24) and j?
12
Calculate the smallest common multiple of 22 and (1 + 2)/((-15)/(-2))*145.
638
Let g = -29 - -29. Suppose -3*m + 0*m - 23303 = 4*c, c - 4 = g. Let t = 124417/16 + m. Find the common denominator of -49/66 and t.
528
Calculate the smallest common multiple of 54 and (6*-7)/(-6 - 522/(-90)).
1890
Suppose -6*r = -8*r. Suppose f - 5 - 1 = r. Suppose 0 = 4*y + s - 87, 0 = -4*s - 6 + 2. What is the smallest common multiple of f and y?
66
Let c be (-321)/6 + 6/4. Let l = c - -74. Calculate the lowest common multiple of l and 9/(-12)*-4*8.
264
What is the common denominator of (-646)/(-196)*(-6 + 2 + 2) + 6 and -1 + ((-75)/63)/1?
147
Suppose 0 = 5*a - 19 - 11. Calculate the smallest common multiple of a and ((-2 - -2) + -1)*(304 - 319).
30
Let z = -7039/46200 + -3/3080. Let k = 5/1209 + -49679/26598. Calculate the common denominator of k and z.
1650
Calculate the common denominator of -119/702 and ((-15026)/780)/(-11) - (-91)/(-455).
702
Suppose -458*a + 59421 = -42255. Calculate the lowest common multiple of a and 74.
222
Let y = -258029864/567 - -455079. What is the common denominator of y and -47/72?
4536
Suppose 0 = -9*m + 11*m + 3*w - 79, 2*m - 44 = 4*w. Calculate the lowest common multiple of 32 and m.
32
Let j(s) be the first derivative of 3*s**2/2 - 28*s - 17. Let o be j(16). Suppose 5 + 3 = -3*t - 4*v, o = -4*v. What is the least common multiple of 11 and t?
44
Let m be 2/((-8)/35465) + (-58)/174. Let f = m + 8878. What is the common denominator of f and -95/16?
48
Suppose -2*g + 15*r - 20*r + 23100 = 0, 3*r = 12. Let j = 115293/10 - g. Let n = 4257/8 + -542. What is the common denominator of j and n?
40
Let x = 22 - 12. Let f = 597 - 354. Let z = f - 233. Calculate the least common multiple of x and z.
10
Suppose 3*p + 4*l - 2 = p, 0 = -5*l - 5. Suppose 5*h + 33 = p*t + 2*h, 4*t - 45 = 3*h. What is the lowest common multiple of t and 284?
852
Let a(r) = r**3 + 7*r**2 - 6*r + 19. Let h be a(-8). Let m be 0 + 3 + (-18)/h. What is the common denominator of m + 0 + (-1)/((-18)/(-132)) and -61/24?
24
Let x be (-56 + 53)/((-3)/10). Calculate the common denominator of 75/1048 and (-3 - (-48)/8) + (-153)/x.
5240
Suppose -9*t - 954 = 333. Let m = -142 - t. Calculate the least common multiple of 37 and m.
37
Let g = -4192030915/1798356 + -41/64227. Let i = -2332 - g. Find the common denominator of i and -65/8.
56
Let u be ((-26)/315)/(22/5511). Let w = u - -328/15. What is the common denominator of 31/21 and w?
21
Let f = 21/388 + 11257/3492. Let u = 40423 + -1818992/45. What is the common denominator of u and f?
90
Let p = 91961923/486 - 189222. Calculate the common denominator of 61/36 and p.
972
Let i be 12/102*146555/(-8). Let n = -2155 - i. Find the common denominator of n and -47/24.
408
Suppose 7*h + 82 = -4*q + 5