
2497
Let y be 602/8 + (13 - (-513)/(-36)). Calculate the lowest common multiple of 10 and y + 1165 - (-2)/(-2).
6190
Let q(v) = 51*v + 98. Let k be q(-2). Calculate the common denominator of 28/k - (-534)/24 and -91/20.
20
Let f(x) = 3 + 5 + 6 - 18 + x. Let p be f(10). Find the common denominator of (-5)/((-1980)/687) - p/(-8) and -47/24.
264
Suppose -8*o = -6*o - 3*c + 591, 3*o = c - 876. Suppose 2*g - 52 = -0*g. Find the common denominator of -29/8 and o/(-10) + g/65.
8
Let o be (1*12)/((-2)/(-1)). Let f = 44 + -11. Let u = f - o. Calculate the smallest common multiple of 15 and u.
135
Let g = -1222919118659/514596 - -87929160/37. Let b = 338/183 + g. Find the common denominator of b and -77/16.
304
Suppose -3*d - 29 + 8 = 0, 6 = -3*y - 3*d. What is the lowest common multiple of 510 and y?
510
Suppose 5*k = 7388 + 15767. Let f = k + -27725/6. Calculate the common denominator of f and 113/144.
144
Let p(t) = 36*t - 3. Let l(g) = g**3 + 7*g**2 + 7*g + 1. Let r = 64 + -68. What is the smallest common multiple of p(1) and l(r)?
231
Let l be (140/(-25) + 5)*-5. Suppose -5*u + 1 = -3*a - 36, 2*u = -l*a + 19. What is the lowest common multiple of 5 and u?
40
Let k be (21/(-88))/(6/1318). Let q be (6 + 66/(-12))/((-11)/(-1420)). Let h = q + k. Find the common denominator of h and 131/24.
24
Suppose -12 = -4*m + 3*m. Let c(k) = -2*k + 14. Let g be (4/(-6) + 0)/((-26)/117). Calculate the lowest common multiple of m and c(g).
24
Let r be ((-4)/48)/(3/3461225510). Let s = -96119516 - r. Let g = s - 25630. Find the common denominator of g and -107/12.
36
Let f(c) = 4*c**2 + 9*c + 2. Let l be f(-2). Suppose 13*y - 3*y - 200 = l. Calculate the smallest common multiple of (-622)/(-8) - (4 + (-68)/16) and y.
780
Let a = 14435 - 14419. Suppose -f = 2*f - 12. What is the smallest common multiple of a and f?
16
Let k be 12/42 - 606/14. Let j = -31 - k. Calculate the smallest common multiple of j and 196/20 + (230/25 - 10).
36
Find the common denominator of -149/378 and (-4)/10*1 - 644/(-504).
1890
Calculate the common denominator of 22092/12852 - 2/(-34) and 53/306.
306
Suppose -2*a = -3*a - 1, 5*l - 3*a - 163 = 0. Calculate the least common multiple of l and (-11 - -5)/((-9)/6 - 0).
32
Let r be 2*((-45)/(-2))/9. Find the common denominator of -1*94*r/(-500)*1 and (-8)/(-16) + (-174)/(-16).
200
Let b = 676 - 528. Suppose 25*g - b = -12*g. Calculate the least common multiple of g and 12.
12
Suppose x + 2*x = 4*m + 96, x - 31 = m. What is the common denominator of 2/x + (0 - 8) and -26/77?
154
Suppose -18*j - 6 = -17*j. Let d(o) = -308*o - 10. Let m be d(j). Let v = m + -7297/4. Calculate the common denominator of 43/3 and v.
12
Let f(v) = 795*v**2 + 10*v + 19. Let l be f(-7). Let r be 2882*27/l - 2. Let i = 124823/38904 - r. Calculate the common denominator of -157/60 and i.
120
Let b be (2 - 3)*(0 - 0). Suppose b = p - 23 + 14. What is the lowest common multiple of p and 52?
468
Let j be (-38)/171 + 122/(-18). Calculate the smallest common multiple of 5/(-5) + 18 + j and 172.
860
Suppose 33*p - 28*p + 5*u = 155, p - 67 = -5*u. Let d = -4 + 11. Let a(k) = k**3 - 8*k**2 + 11*k - 10. Calculate the smallest common multiple of a(d) and p.
198
Let u be 1785/39 + (-1 - 2). Let i = u + -52209/1235. Find the common denominator of 4/5 and i.
95
Let l = -654 + 690. Let h = -125 + 133. What is the smallest common multiple of h and l?
72
Let w = -5800541/2980152 - 2/53217. What is the common denominator of w and (-65)/42 - (-4 - -3)?
168
Find the common denominator of (-5149)/(-2870) + (-64)/(-1312) and 3 - 1*23/(-6).
210
Suppose -3*x = -0*x - 717. Let t = 246 - x. What is the lowest common multiple of 48 and t?
336
Let v(y) be the second derivative of 3*y**4 - y**3/6 - y**2 + y + 8. What is the least common multiple of v(2) and 140?
140
Let g = -84673/408420 - -4/2269. Calculate the common denominator of 83/130 and g.
2340
Let v = 1526 + -1502. Calculate the least common multiple of v and 1338.
5352
Let g(t) = -50*t**3 + 16*t**2 + 19*t + 4. Let i be g(8). Let o = i + 9329. Let q = o + 482965/32. What is the common denominator of q and -95/16?
32
Find the common denominator of 40/(-70)*(-1737)/540 - 2 and 61/2625.
2625
Let v = 309311/22 - 14064. What is the common denominator of v and -69/268?
2948
Suppose 0 = -9*x + 22 + 59. What is the common denominator of (-2)/(-40)*((-223)/x - -1) and -99/40?
360
Suppose -2*b + 21 + 33 = x, -3*b = x - 85. Calculate the smallest common multiple of 310 and b.
310
Suppose 9330 = 5*b - v, 7480 = -8*b + 12*b - 4*v. Let w = b + -11165/6. What is the common denominator of 107/36 and w?
36
Let d be -12*(9/15)/(2/50). Find the common denominator of ((-6489)/2166 - -3)/(5/d) and -3/5.
1805
Let l = 596738 + -307916711/516. Find the common denominator of -151/258 and l.
516
Suppose 2*l - 2*c - 108 = 0, 138*c = 2*l + 142*c - 84. Calculate the lowest common multiple of l and (-4)/12*0 - -60.
300
Let z be 3*4/(-4) + 148. Suppose 149*q = z*q + 4. Calculate the smallest common multiple of 341 and q.
341
Let d = 3215 + -19421/6. Find the common denominator of d and 113/10.
30
Suppose 78*z + 80*z - 135150 = -z. What is the lowest common multiple of z and 1785?
17850
Suppose -5*g = 5*f - 2255, 3*g + 58 + 2189 = 5*f. Calculate the lowest common multiple of 70 and f.
3150
Suppose 7*n - 149 = -128. Suppose -n*g - 14 + 119 = 0. Calculate the lowest common multiple of 42 and g.
210
Suppose -3*g - 6 = -24. Suppose 0 = g*q - 5*q + 5. Let a(f) = -2*f**2 - 14*f - 8. Calculate the least common multiple of 27 and a(q).
108
Let w = 473/3587 - 3/211. Let h = 327667/68 + -4818. Let k = h + w. What is the common denominator of -26/11 and k?
44
Suppose 12*q + 61 = -527. Calculate the lowest common multiple of (-14 - q)/(-1 + 2) and 50.
350
Let n = -701137/4 - -175276. Let t = -459/112 - -29/16. Let j = -181/168 - t. Calculate the common denominator of n and j.
24
Suppose 3*n = -4*t + 21, 4*t - 24 = -n - 9. Suppose 19 - 61 = -2*m - 3*j, t*j = -4*m + 78. What is the least common multiple of 15 and m?
90
Let h = -2/29551 - 679387/4225793. Calculate the common denominator of h and -48/55.
715
Let j = -7511/113681 - -4/1439. Let u = j - -1516/237. Calculate the common denominator of 80/57 and u.
57
Suppose 26*b = -5*a + 31*b + 400, -330 = -4*a - b. Calculate the least common multiple of 246 and a.
246
Let i = -145/854 + 6/61. Find the common denominator of i and -41/210.
210
Let h(z) = -878*z**2 + 3671*z - 2. Calculate the lowest common multiple of 8 and h(4).
2536
Let m = 3183249 + -175614243/55. Let d = m + 9736. What is the common denominator of d and 62/35?
385
Suppose -3*j = -3*u, 4*u = 5*j + 1 - 6. Suppose -a = -5*a - 5*c + 10, j*a + c = 23. Suppose a = 3*f + 2. What is the least common multiple of f and 3?
3
What is the common denominator of 1507/6482 - (-9)/(-63) and (1/(-12))/((-203)/27405)?
1852
Let i = -307 - -31. Find the common denominator of i/54 + 28/4 and -30/161.
1449
Let r(o) = 3*o**3 - 4*o**2 - 4*o + 4. Let c be r(4). Suppose -c*t - 54 = -119*t. Calculate the least common multiple of 117 and t.
234
Let o = 1571122760335043/58920 + -26665355743. Let j = o + -5/1473. What is the common denominator of j and (-83)/40 + 1 - 0?
40
Suppose 0 = 4*i + 4*r - 16996, 0 = -508*i + 512*i + 3*r - 16991. Calculate the least common multiple of 2 and i.
4244
What is the common denominator of ((-186)/11552)/(3 + -1*77/28) and 11/4?
1444
Let y = -19302 + 19335. Let d(l) = l + 3. Let f(o) = -o**2 + 3*o + 3. Let j be f(3). Calculate the smallest common multiple of d(j) and y.
66
Let o be 3756/(-148)*(2 + 43401/(-27)). Let j = -40743 + o. Calculate the common denominator of 2/15 and j.
555
Let r(q) = 32*q + 177. Let j be r(8). Let p = j + -397. Suppose 0 = g + 5*f + 4, 6 + 18 = g - 2*f. What is the least common multiple of g and p?
144
Let c = 1111 + -277. Calculate the lowest common multiple of 1390 and c.
4170
Suppose -23 = -8*i - 7. Suppose 25 = t - i*p, -12 = -3*p - 3. Suppose 5*h = -4*b + 79, -3*b - h - t = -93. What is the lowest common multiple of b and 6?
42
Suppose -6*b = 8*b. What is the lowest common multiple of (2 - b - 0)*13 and 30?
390
Suppose 167*a = -15*a + 147668 + 190670. What is the least common multiple of 247 and a?
35321
Let k = 15/127 - 18341/114427. 