(-5)/((-5)/2) + 0/(-4). Let t be r/3 + 20/15. Suppose 38 = 3*d + t. What is the lowest common multiple of 18 and d?
36
Let x = -1036605/83 - -12489. Find the common denominator of 87/4 and x.
332
Let y(v) = 2*v**2 - 4*v + 47. Let a be y(-8). Find the common denominator of (-1850)/144 + 46/a and -23/80.
80
Suppose 12 = -y + o, 170*o = 173*o. What is the common denominator of (172*(-9)/126)/y and -1 - (-11)/15*-7?
210
Let y(h) = -50*h + 4855. Calculate the least common multiple of 316 and y(26).
14220
Suppose -14*l + 6 + 78 = 0. Let z be 1/(-8) + 482/16. What is the lowest common multiple of -1 + z + 4 + -3 and l?
30
Let c = 156 - 146. Suppose c*k - 147 + 7 = 0. Calculate the least common multiple of 52 and k.
364
Let u be ((-24)/32)/(2/(-88)) + 0. Suppose -u = -5*a - 3. Calculate the smallest common multiple of 2/(((-8)/(-34))/4) and a.
102
Let g = 49 - 39. Suppose -g*w - 67 = -547. Calculate the smallest common multiple of 21 and w.
336
Let i(h) = 36*h + 52. Let n be i(7). Suppose 0 = 6*v + 64 - n. Calculate the lowest common multiple of v and 12.
120
Suppose -u + 1 = 0, -21 = h - 2*u - 1. Let d be (-1)/5 - (-972)/810. Find the common denominator of (-3 - (-3)/d) + (-5)/h and 73/20.
180
Let h(i) = i**3 + 3*i**2 + i - 5. Suppose 4 = -3*x - 5*o, 3*o = -2*x + 3*x + 6. Let p be h(x). Find the common denominator of (-6)/p*(-984)/108 and 19/15.
30
Suppose -153 = -4*j - 109. Suppose 10*t + 630 = 5*t. Let a = 219 + t. Calculate the smallest common multiple of a and j.
1023
Let v = 14 + 10. Let u = 16 - v. What is the least common multiple of 8 and (u/6)/((-2)/30)?
40
Let c = 37802 - 37152. What is the least common multiple of 50 and c?
650
Let v be (-192)/(-9)*(-54)/(-24). Let r = -27 + v. Calculate the common denominator of (r/(-36))/((-1)/(-10)) and 131/12.
12
Suppose 260*s - 325 = 254*s - 1. Calculate the least common multiple of 588 and s.
5292
Suppose -167 = -23*l - 29. Suppose -3*a + 82 = -a + i, 5*i = -2*a + 74. What is the lowest common multiple of a and l?
42
Let f be 1/(-2) + (-778)/(-4). Let o = 14761/36190 - -2/1645. Find the common denominator of f/224*4/2 and o.
616
Suppose 9*v - 1080 = -32*v + 14*v. What is the smallest common multiple of (-10)/(2/(-16) - 0) and v?
80
Let k be (-22)/(17/(51/(-6))). What is the lowest common multiple of (-54)/12*k/((-99)/48) and 15?
120
Let x = 3429 - 2995. Calculate the lowest common multiple of x and 28.
868
Let d be ((-4)/(-222))/(2496/9140328). Let s = d + -864/13. Calculate the common denominator of s and -1/4.
148
Let y = -2/36457 - -2661409/874968. Find the common denominator of -815*7/(-1120) - 8 and y.
96
Let x be (-13)/2*(9 - (7 - -6)). Suppose 10*o - 2*t = 14*o - 32, 4*o - t = x. What is the least common multiple of o and 65?
455
What is the common denominator of 25/432 and 20 + -28 - (-5)/(8100/13034)?
6480
Suppose -4*t - 62006 = -2*r, -t + 124057 = 14*r - 10*r. Let f = -5582507/180 + r. What is the common denominator of -29/24 and f?
360
Let t = 6 - 12. Suppose -4*k + 8 = -4. What is the lowest common multiple of ((-4)/t)/(8/60) and k?
15
Suppose 17345 = 113*l + 395. What is the lowest common multiple of 115 and l?
3450
Suppose 5*w - 10 = 0, -2*d - 3*w + 51 - 1 = 0. Let s = 113 + -362. Calculate the lowest common multiple of s/(-18) + (-3)/(-18) and d.
154
Suppose x - 21 + 6 = 0. Let r be 6420/1260 + 4/(-42). Suppose -x = -r*f + 5. Calculate the smallest common multiple of 1 and f.
4
Let c = -5101199048886409/59330 + 85980095204. Let x = -2/5933 + c. What is the common denominator of -97/76 and x?
380
Let v = 39/68 - -1763/68. Calculate the common denominator of v and 31/985.
1970
Suppose 20 = 44*j - 54*j. Calculate the common denominator of 5 - 1239/198 - j/4 and -127/66.
66
Suppose u = -3*o + 20, 2*u + 9*o = 4*o + 34. What is the smallest common multiple of 629 and u?
1258
Let s = 967330524779171/72466 - 13348750101. Let x = -4/1907 + s. Find the common denominator of -55/4 and x.
76
Let n = 4854 - 4847. What is the smallest common multiple of 48 and n?
336
Let x(i) = 19*i + 663. Calculate the lowest common multiple of x(-17) and 10.
340
Let g = -9996/5 + 629794/315. What is the common denominator of 145/126 and g?
630
Let p(w) = -9*w - 6. Let v be p(-1). Suppose c + 8 = -8*n + 4*n, 2*n = v*c - 32. Find the common denominator of 6/c*(1 + (-406)/18) and 73/3.
6
Let n(s) = -9*s**2 - 162*s + 20. Let x(w) = w**3 - 2*w**2 + w - 4. Let z be x(4). Suppose -f - z = -3*f. What is the least common multiple of n(-18) and f?
80
Suppose -3319 = 206*g - 28855 + 610. Calculate the least common multiple of 143 and g.
1573
Let m be (3 - (3 + -3)) + -2. Find the common denominator of (39/1014)/(m*1/53) and 351/42 - (3 + 0).
182
Suppose 11494 = 7*m + 72044. Let h be 1/((-10 + 5)/m). What is the common denominator of h/(-532) - 60/570 and -81/2?
14
Let n = -100679/61 + 1651. Calculate the common denominator of 105/45*(-5)/2 and n.
366
Suppose -k = 4*o + 150 + 24, 3*o = 5*k - 119. Let j = -38 - o. What is the common denominator of (-56)/(-70) - j/4 and -89/14?
140
Suppose -31*k + 5*w = -25*k - 9858, 0 = -4*k + 2*w + 6564. Calculate the lowest common multiple of 637 and k.
11466
Suppose 0 = s - 2*r - 378, -s = -1710*r + 1711*r - 378. Calculate the lowest common multiple of s and 252.
756
Let o = -8/87 + -1505/348. Calculate the common denominator of -127/186 and o.
372
Suppose 6*h + 1669 + 146 = 17*h. Calculate the lowest common multiple of 165 and h.
165
Let q be 3/39 - 43260/(-52). Suppose -59*f + q = -43*f. What is the smallest common multiple of f and 169?
676
Suppose -4*c + 117760 = -36*c. What is the common denominator of 15/(-10) + 1 + (-2830)/c and -51/8?
368
Let q be (4 - 47005/(-36)) + (-1)/(-4). Suppose -b + 3*b - 2624 = 4*p, 2*b = 3*p + 2622. Let k = b - q. Find the common denominator of -29/14 and k.
126
Suppose 0 = 3*a - j - 237, a - 281 = 5*j - 216. What is the lowest common multiple of 1025 and a?
16400
What is the common denominator of 13/1152 and (-18236)/(-21312) - (60/(-370))/3?
1152
Let x = 2405 + -2377. Suppose 3*l = l + 24. Calculate the smallest common multiple of l and x.
84
Suppose 0 = -10*q + 1089 + 331. Suppose -3*p = -2*j + q, 4 = -4*j - 0. Find the common denominator of -9/4 and (185/(-10) + 5)*2/p.
16
Suppose 5495 = -5*l - 5*h, l + l + 2197 = -3*h. What is the common denominator of -71/96 and (l/(-18))/5*(-39)/52?
96
Suppose -3*n = -15, -99*q + 97*q = n - 1331. What is the least common multiple of q and 102?
1326
Let u(m) = m - 13. Let z be u(4). Let s be (3/z)/(1/12687). Let p = -194543/46 - s. Calculate the common denominator of -31/14 and p.
322
Suppose 20*o - 14*o + 18 = 0. Calculate the lowest common multiple of 11 and 32/o*-2 + 80/120.
22
Let l be ((-18)/54)/(79/(-53)*14/42). Let f be 1 + (-1 - 3779/(-3160)). Let n = f - l. Find the common denominator of n and 1/36.
360
Let a(p) = -10*p - 70. Let o be a(-5). What is the common denominator of ((-92)/(-36))/(2/15) and (-7)/(-18) - (-60)/o?
18
What is the common denominator of -39/16 and (-4618)/3108 - -2*4/6?
4144
Let t = 70 - 48. Let u = -124 + 202. Let n = u + -76. What is the lowest common multiple of n and t?
22
Let u = 117 - 107. Suppose -u*s = -4*s - 72. Calculate the smallest common multiple of 42 and s.
84
Let d(w) = 6*w**3 - w**2 - w - 4. Let r be d(0). What is the least common multiple of (-2)/8 + (-121)/r and 60?
60
Let k(q) = 2*q**2 + 19*q - 29. Suppose 0 = 2*g + 85 - 315. What is the lowest common multiple of k(-11) and g?
460
Let t = 64 + -32. Let p = t - 12. Suppose -m = -34 + p. What is the least common multiple of m and 8?
56
Let a = 4/4584385549 + -712133867310575/589625331770184. Let f = 99714949/64308 - 18607/12. Let h = f - a. What is the common denominator of -85/12 and h?
24
Let l = -438 - -411. Find the common denominator of 462/l + (-2)/9 and -37/32.
96
Calculate the common denominator of (-666)/2835*(55/69 - 4/6) and -71/2898.
14490
Suppose 25*s = 513 + 387. What is the smallest common multiple of s and 1568?
14112
Suppose -g - 89*n + 84*n = -1665, -4*g = 3*n - 6779. Calculate the lowest common multiple of 119 and g.
11900
Let x = -9358 - -9526. Calculate the lowest common multiple of 584 and x.
12264
What is the common denominator of -13/783 and (-93)/(-360)*-13 + ((-105)/(-25))/(-7)?
6264
Let d