o - 54 = -5*p. What is the lowest common multiple of p and 24?
72
Let y = -23/133 - 8277/2128. Calculate the common denominator of y and -27/5690.
45520
Let r be 1734/357 - (6/7 - 1). What is the common denominator of 99/64 and (-24)/(-160)*((-580)/24)/r?
320
Suppose 4*a + 3 = 3*a. Let u(b) = 2*b + 6. Let p(i) = i - 1. Let x(j) = a*p(j) + u(j). Calculate the smallest common multiple of x(8) and 7.
7
Let u = 106 + -96. Let j(d) = 2*d**2 + d + 1. Calculate the least common multiple of u and j(-2).
70
Suppose 2*j + 13 = -3*w - 5, 5*w + 37 = -j. What is the common denominator of w/28 - 10810/(-840) and -41/10?
60
What is the smallest common multiple of 853 and (8/(-6)*(-12)/(-8))/((-56)/84)?
2559
Let j = 222/55 - -43/330. Calculate the common denominator of j and 73/1966.
5898
Find the common denominator of -11 + 10724/768 + -3 + 0 and 115/24.
192
Suppose -i = 4*a - 49, -54 = 5*a + 3*i - 124. Let w be (-1594)/34 - (-28)/(-238). Let u = -2 - w. Calculate the least common multiple of a and u.
495
Let w(d) = -d**3 + 13*d**2 - 13*d + 27. Let q = 52 + -44. Suppose -7 = -q*s + 89. What is the least common multiple of 9 and w(s)?
45
Suppose 0 = c - 22 - 2. Let i be (3 - (1 - 0)) + (-2 - -88). Let v = i - 64. Calculate the least common multiple of c and v.
24
Let m(o) = -3*o + 4. Let n = -4 + 4. Let y be m(n). Suppose -y*r - w + 56 = 3*w, 5*w - 25 = 0. What is the lowest common multiple of r and 21?
63
Suppose -2*y - 9750 = 3*y. Let c be (28 - 36) + (-43026)/(-22). Let z = c + y. Find the common denominator of z and -29/3.
33
Let p = -5442 - -5514. What is the smallest common multiple of p and 1576?
14184
Let t = -58630673887 - -48428942474617/826. Let j = 49520/7 - t. What is the common denominator of -83/18 and j?
1062
Suppose -l + f + 48 = 0, -2*f = -0*f. Let v(r) = 53*r**3 + 2*r**2 - 3*r + 2. What is the lowest common multiple of v(1) and l?
432
Let i = 15/38 - -293/76. Calculate the common denominator of i and 54/72 - 266/80.
40
Let j(i) = i**2 + 43*i + 1778. What is the least common multiple of j(0) and 12?
10668
Let s(b) = -2*b**3 - 7*b**2 - 5*b - 3. Let z be s(-5). Let r be (-21)/(-112)*z*-258. Let a = 4681 + r. Find the common denominator of a and 61/4.
8
Let k be (4/12)/((-15)/(-9540)). Let y = -184 + k. Calculate the lowest common multiple of 10 and y.
140
Suppose 0 = -5*i + u - 29, -3*i - 2*u - 13 = 7. Let w be 7 + (-4)/((-8)/i). What is the common denominator of -14/13 and w + 2*13/9?
117
Suppose 55*r + 2*c - 15 = 54*r, 3*c = 5*r + 3. Calculate the smallest common multiple of 143 and r.
429
Let o = -1762603/3885 - -3176/7. Calculate the common denominator of o and 79/33.
6105
Let b = -2366213/210 - -33800/3. Calculate the common denominator of b and -3 + (-33)/(-12) - 1155/(-120).
280
Let p(u) = -3*u - 9. Let s be p(-8). Let n(v) = v**2 + 36*v + 112. Let c be n(-33). Let f = s - c. What is the least common multiple of f and 1?
2
Suppose 0 = -2*b - 0*b + 12. Suppose 4*o - b = 5*t + 27, o + t = 15. Suppose -72 = -12*p, 4*p + 33 = 5*x - 3. Calculate the lowest common multiple of x and o.
12
Let m(u) = -u**3 + 43*u**2 - 40*u + 85. Let x be m(39). Let w = 59957/13 - x. Calculate the common denominator of 0 + 1 + 26/(-3) and w.
39
Let h = -390 + 397. What is the common denominator of (-5 - 707/(-105))*h/(-12) and -31/60?
180
Let y be ((24/5)/3)/(10/50). Calculate the common denominator of 15/14 and 851/22 + 810/(-99) + y.
14
Let b(j) = 10*j**2 - 3*j + 9. Let f be b(4). Let c = 1331921/10 + -133043. Let o = c - f. Calculate the common denominator of o and -97/8.
40
Suppose -4*d + 4*q = -723 + 51, -2*d + 336 = -3*q. What is the lowest common multiple of 14 and d?
168
Suppose 3*l + f - 10529 = 419, -4*f - 10928 = -3*l. Let y = l + -73021/20. What is the common denominator of y and -65/2?
20
Let n = -33311/3577 - -726/73. Calculate the common denominator of 157/1302 and n.
9114
Suppose 0*p = -6*p + 24. Suppose -5*a = -p + 9. Calculate the common denominator of a + 4 + (292/16 - -2) and 151/12.
12
Let l = -920221/17 - -54149. Let y = 2273/34 - l. Find the common denominator of y and (-79)/45 + (-1)/(-5).
18
Let i be -3 + (-254)/(-16) - 1. Let j = 1995/8 - 1031/4. Let q = j - i. What is the common denominator of 85/4 and q?
4
Suppose 2*y - 83*r = -82*r + 46, -3*r + 18 = 0. Suppose b = -1 + 2. Calculate the lowest common multiple of b and y.
26
Let c = 5707/1680 - 17/5. Calculate the common denominator of c and -1*(-82)/(-4)*16/(-60).
1680
Let s = 259615/18 - 14417. Let a = -818 + 41683/51. Calculate the common denominator of a and s.
306
Let q(h) = -597*h + 4794. Calculate the least common multiple of 166 and q(8).
1494
Let s = 511667/2621920 + -275/2341. Find the common denominator of -13/110 and s.
12320
Suppose z - s - 15 = 0, 12 = 2*z + s - 0. What is the lowest common multiple of 801 and z?
801
Let x be 12/66 + 9/11. Calculate the common denominator of -4 + x + 791/28 and 35 + 0 - (0 - (-2 - -3)).
4
Let p(u) = 22*u + 1578. What is the least common multiple of p(-67) and 16?
208
Let w be (228/30 - 4)*(4 - 44). Calculate the common denominator of (-2)/6 + (-267)/45 and (1 - -1)*w/(-160) + -1.
15
Let j(p) = 268*p - 428. What is the smallest common multiple of 45 and j(2)?
540
Suppose -y = 4*y - 10. Suppose 7120 = 6*x - y*x. Calculate the least common multiple of 20 and x/90 - 2/(-9).
20
Suppose 0*x = -2*o - 5*x - 1828, 2*o + 1834 = -2*x. Let c = -11940/13 - o. Find the common denominator of c and -9/4.
52
Suppose -106*r + 108*r - 5*p - 664 = 0, -317 = -r - 5*p. What is the least common multiple of 9 and r?
981
Let g = 92968992694 - 68982981430467/742. Let p = g - 105106/7. Let h = -14/53 + p. Find the common denominator of -99/26 and h.
26
Suppose 2*k = 5*g + 12, -9 + 1 = -4*g. Suppose 0 = k*h + 3*h. Suppose h = 7*t - 252 - 56. What is the least common multiple of 48 and t?
528
Let d be (16986/(-39520))/((-2)/4). Let k = d - 9/260. Calculate the common denominator of k and -33/5.
40
What is the common denominator of (1/690)/(((-33)/582)/11) and -38/1035?
1035
Find the common denominator of 8 - ((-1590)/4)/((-48)/(-8) + -3*19) and (-24 + 0)*1/(-17).
34
Let g(q) = -q**3 + q - 6. Let f be g(4). Suppose -8*k - 364 = 212. Let b = f - k. Calculate the smallest common multiple of 3 and b.
6
Let p = -85 + 258. Suppose 0 = 3*m + 5*c - 69, 5*m + 24 - p = 3*c. What is the lowest common multiple of 4 and m?
28
Let o = 4933 - 4893. What is the lowest common multiple of 436 and o?
4360
Let m = 17 + -26. Suppose -l = -2 - 4. Find the common denominator of -107/100 and ((-424)/64 - l)/(m/(-4)).
900
Suppose 0*z - 29 = z. Find the common denominator of 5/(45/(-2))*12/32 and 2 - 1/((-16)/z).
48
Let u(s) = -4*s**3 - 24*s**2 - 19*s + 7. Let z be u(-5). Suppose 4*a + 14 = p, -2*p - 2*a = z*a - 40. Calculate the lowest common multiple of p and 8.
72
Let q = -6023 - -6067. What is the lowest common multiple of -2 - (1*-220)/2 and q?
1188
Suppose a + 8 = 3*a. Let g = 120447 + -120419. Calculate the smallest common multiple of a and g.
28
Let a(j) = 4*j**2 + 24*j + 3. What is the lowest common multiple of 8 - 5/((-10)/8) - (-4)/(-2) and a(-6)?
30
Let a(v) = 5*v + 5. Let c = 36 - 36. Let q be a(c). Suppose -3*u + 39 = q*r + 4, -2*r - 2*u + 18 = 0. Calculate the lowest common multiple of r and 5.
20
Suppose 52*h - 4*j = 48*h, -3*h + 28 = 4*j. Calculate the least common multiple of h and 2164.
2164
What is the smallest common multiple of 154 and (-129227)/(-63) - 5 - (-82)/(-369)?
14322
Let p = 28/27 + -1183/108. Calculate the common denominator of (-6)/(-8)*18/10 and p.
60
Let b = -246 - -254. Suppose 4*x = -u + 20, 4*u - b = 2*x - 0*x. What is the smallest common multiple of x and 2?
4
Suppose -14*c = 9330 + 11628. What is the common denominator of -37/48 and 3 - ((-8)/12 + c/(-612))?
816
Let v be 371751/(-252) - (-18)/72. Let m = v - -1476. Find the common denominator of m and -71/70.
210
Let d be (-4)/8*-6*112/(-6). What is the common denominator of 460/d*8/(-10) and 2 + (-70)/(-8) - -1?
28
Let j = 8990/3 - 3030. Let m = j + 18. What is the common denominator of m and 15/22?
66
Let b = 15742870125/11306 - 1392435. What is the common denominator of b and 29/22?
124366
Suppose 2*m - 44 = -14*u + 12*u, -2*u = -2*m - 36. Calculate the least common multiple of u and 440.
440
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