-15/13 and y.
117
Suppose -14*h + 40 = -6*h. Find the common denominator of 14/20 + (-1 - (4 - h)) and 0 + (71/8 - -3).
40
Let y(m) = -141*m**3 + m**2 + 16*m + 14. Calculate the least common multiple of y(-1) and 720.
5040
What is the common denominator of ((-98)/(-126))/((-20)/(-42)) and 16/55?
330
Let k(j) = j + 10. Let y = 324 - 244. Suppose 40*t = 48*t - y. What is the least common multiple of k(0) and t?
10
Let o = -823/2460 - 49/164. What is the common denominator of o and -181/4620?
4620
Let x(g) = -5*g + 3. Let d be x(-4). Suppose -2*c = -2*y + 2*c - 4, 0 = 5*y + c - d. Calculate the lowest common multiple of y and -5*(-51)/39 - (-12930)/28015.
28
Let s(b) = b**3 + 21*b**2 - 7*b - 132. Let o be s(-21). Calculate the common denominator of 39/(-6) + 7 + (-141)/o and -107/50.
50
Let g be (-62)/279 - (-1626)/27. Suppose 45*t = 49*t - g. What is the lowest common multiple of 90 and t?
90
Let n = -1/58393 - 2860569/40174384. Find the common denominator of n and -91/32.
1376
Let c(p) = 6*p + 3. Suppose -69*a + 81 = 3*d - 71*a, -2*a = 4*d - 66. What is the least common multiple of c(3) and d?
21
Suppose 0 = 19*x - 4000 - 2897. Find the common denominator of (22/495)/(4/x) and 77/16.
240
Let p = 83197/490 + -5934/35. What is the common denominator of 187/210 and p?
1470
Let v = 11587 - 9197. Calculate the lowest common multiple of 239 and v.
2390
Let k(v) = 8*v**3 - v**2 + v - 1. Let s be k(1). Suppose s*o = 12*o + 14150. Let m = o - -36755/13. Find the common denominator of -19/10 and m.
130
Suppose 5*s = 154853 + 14317. Let f = -1353283/40 + s. Calculate the common denominator of f and -53/32.
160
Let a(r) = -142*r - 178. Calculate the smallest common multiple of 10 and a(-9).
1100
Let y = 83/1854 - -26/927. Find the common denominator of y and -1/4326.
4326
Suppose -3*r = 2*h - 12 - 21, 0 = 3*h - 9. Let k = r + -1. What is the least common multiple of 2 and k?
8
Suppose 0 = -h - 3*p + 13, -3*p = -h + 2*p - 11. Suppose -1 = -h*y - 3*g + 23, -24 = -4*y - 4*g. What is the least common multiple of y and 11?
66
Let c(b) = 5*b**3 - 20*b**2 + 14*b. What is the lowest common multiple of 192/256 - 21/(-4) and c(4)?
168
Suppose 4*r = -20 - 4. Let k be 10/2895*r/40. Let u = k + -113863/13510. What is the common denominator of 10/9 and u?
63
Suppose -19*j + 3559 = -4*j - 41. Calculate the smallest common multiple of j and 8.
240
Suppose 3*t - 3*x + 4 + 8 = 0, 2*x + 16 = -2*t. Let o = t - -10. Let n(r) = r**3 + 11*r**2 + 17*r - 8. Calculate the least common multiple of o and n(-9).
4
Suppose -120 = -5*q + 2*p - 7*p, -122 = -5*q - 4*p. Let w = q - 22. Let n(h) = h**3 - 24*h**2 + 27*h - 48. Calculate the least common multiple of n(23) and w.
44
Suppose 2*f + 3*i + 8 = 4*f, -18 = 5*f + 2*i. Let o = 554189/18 - 30796. Calculate the common denominator of f - 8 - 3150/280 and o.
36
Let i = -616/29 - -87589/4002. Find the common denominator of i and 71/184.
552
Let i = 11855/4076 + 25/3057. Let o = 171/188 - 5117/14100. Find the common denominator of i and o.
300
Let h = -25/304 - -22669/142576. Calculate the common denominator of 52/469 and h.
469
Suppose -3*g + 0*g = y - 247, 5*y + 5*g - 1195 = 0. What is the smallest common multiple of 7 and y?
1645
Let f be (-26764)/(-36) - 12/27. Let i = -736 + f. What is the smallest common multiple of i and 20?
140
Let x = 1602774625 + -169890454803/106. Let j = -83684 + 118169. Let n = j - x. Find the common denominator of -69/8 and n.
424
Let f = -3 - -70. Let z = f + -74. Find the common denominator of 99/2 and (-8)/12 - 2/(-24)*z.
4
Let f(t) = t**2 + 81*t + 1504. What is the smallest common multiple of 6850 and f(-28)?
13700
Let o be (-4)/12 + 604/3. Suppose -2*c = 4*v - 86, -2*c + o = 3*c + 3*v. What is the common denominator of c and -27 + 4214/154 + (-553)/(-143)?
13
Let u = -45081 + 31601791/701. Calculate the common denominator of 11/5 and u.
3505
Let t(w) = -11*w + 78. Let y be t(0). Suppose 218 - y = 5*k - 2*b, 62 = 2*k - 2*b. Calculate the lowest common multiple of k and 7.
182
Let r(s) = s**3 - 18*s**2 + 6*s + 300. What is the lowest common multiple of r(18) and 27?
3672
Suppose 0 = -5*f - 3*x + 111, -5*f + 4*f + 3*x = -33. Let k be (-3 + 4)/(1/44). Calculate the lowest common multiple of f and (k/(-66))/(1*1/(-36)).
24
Suppose -382 = 3*j + z - 358, 0 = 4*j + 4*z + 32. Let f be -7 - ((0 - -1) + -1). Find the common denominator of -127/48 and 2/f*-2*23/j.
336
Let y(n) = -10*n - 46. Let b be y(-17). Let p = -124 + b. What is the smallest common multiple of 4 and 1088/48 - (p + (-2)/6)?
92
Let z be (-4)/(-14) + (1 - (-15)/21). What is the common denominator of ((-3)/(-2))/((-20)/(-78)) and z*((-5)/20 + 0)?
20
Let m = 101718/257567 + -1/2363. Find the common denominator of m and -53/763.
763
What is the common denominator of -55/1799 and (-170)/6885 + (-28515)/(-3402)?
3598
Calculate the common denominator of (-4120)/(-16380) + 1/12*8/(-3) and 21/65.
1365
Let b = -45743 + 46728. What is the least common multiple of 985 and b?
985
Suppose u + 10 = 4*u + 2*z, 0 = 2*z - 4. Find the common denominator of 27/40 and u + (-138)/(-144) + -6.
120
Let k be (-351)/(-18) - 2/(-4). Suppose -32 = -2*a + 5*r, 0 = -0*a + 4*a + r - k. Calculate the least common multiple of 30 and a.
30
Suppose -15*c + 5*c + 162 = -7*c. Calculate the least common multiple of 5958 and c.
17874
What is the common denominator of (-1)/2 + (-32)/(-36) and 2/(-1 + (-4)/(-3) + 16164/(-540))?
666
Let t = 49 + -27. Suppose 63*u + 22 = 74*u. Suppose -8 + 0 = -u*q. Calculate the lowest common multiple of t and q.
44
Suppose 87*v - 88*v - 3 = -9. Calculate the lowest common multiple of 1148 and v.
3444
Let w(n) = -4*n + 133. Let q(j) = 3*j**2 + 2*j - 3. What is the smallest common multiple of w(28) and q(3)?
210
Let i be -10*((-162)/30 - -10). Suppose -10 = 4*f + 234. Let s = i - f. What is the least common multiple of s and 8?
120
Let w = -62 + 50. Calculate the common denominator of 5 - (-414)/w*1 and 39/2.
2
Let l(q) = 110*q**2 - 27*q - 234. Calculate the smallest common multiple of l(-6) and 66.
42768
Let m = 157 + -152. Suppose -8 = -2*o, -k + 2*o + 129 = -m. What is the lowest common multiple of k and 8?
568
Find the common denominator of -145/9276 and 546/(-2376)*7 - (0 + (-12)/54).
102036
Suppose -5*w + 6*c = 4*c - 1043, 2*w - 2*c = 422. Calculate the least common multiple of w and 27.
621
Let g = 433 + -429. Suppose 14*t + 2*i + 44 = 18*t, -g = 2*i. What is the lowest common multiple of t and 20?
20
Let k = 76823443/12 + -6398242. Let b = 3706 - k. Find the common denominator of 7/18 and b.
36
Suppose -4*o - 57 = -4*q + 139, o + 50 = 2*q. Find the common denominator of (-9009)/1134 - (-1 - 0) and 94/o + 1/4.
72
Let r = 450 - 399. Suppose r*a + 525 = 20262. What is the smallest common multiple of a and 3?
387
Let o(r) = -4*r**2 - 131*r - 775. Suppose -15 = -2*m + 5. What is the least common multiple of m and o(-8)?
170
Suppose -c + 503 = -5*o, 9*o - 11*o + 5*c - 215 = 0. What is the common denominator of 61/154 and 5*(-6)/o - (-444)/45?
462
Suppose 150 = 3*o - 5*y + 38, -184 = -4*o - 2*y. Suppose 3*t = d - 21, 0*d + 4*d - 4*t - 76 = 0. What is the lowest common multiple of d and o?
396
Let g be 104/3*6/1. Find the common denominator of (-774)/g - 6/39 and (-3)/(-14)*(14/48)/((-117)/5694).
24
Let h = 1028099/7830 - 1313/10. Let f = -767/6264 - h. Let m = -41209/9552 + 1/597. What is the common denominator of f and m?
16
Suppose -16*p - 4*q = -18*p + 464, 3*p - 2*q - 720 = 0. Calculate the smallest common multiple of p and 122.
244
Let w(u) = 3*u**2 - 14*u - 8. Let f(h) = h**2 - h. Let b(y) = 4*f(y) - w(y). Let z(n) = 4*n + 54. What is the least common multiple of b(-11) and z(-13)?
38
What is the least common multiple of 1 + 31 + (-1 - 1) and (-63580)/(-880) - (3 - 4/((-48)/(-33)))?
360
Suppose 0 = 2*a + 2, 4*p + 5*a - 1577 = 2*a. Suppose -389*g = -p*g + 24. Calculate the lowest common multiple of 4 and g.
4
Suppose -17*x - 6592 + 6694 = 0. Calculate the smallest common multiple of x and 22162.
66486
Suppose 4*t = -12, -l = 3*t - 0*t + 6. Suppose f - l*g - 2 = -g, 6 = 3*f - 5*g. Find the common denominator of 52/33 and ((-22)/12 + f)*-5.
66
Find the common denominator of (2/(-12))/(2 + 1272/(-639)) and ((-2)/((-30)/35))/((-161)/(-126)).
92
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