228
Let o(q) = -92*q + 1152. Calculate the least common multiple of o(12) and 120.
240
Suppose -n = k + 18, 0 = k - 3*k - 2. Let v = -35 - n. What is the common denominator of (-66)/v*(-66)/20 and 57/2?
10
Suppose -4*k = 4*p - 22 - 18, -3*p + 26 = 2*k. Let x = 4 - -14. What is the lowest common multiple of p and x?
18
Suppose 10 = b - 0. Suppose 100 = 5*d - b*d. Find the common denominator of (28/d)/(24/110) and -117/14.
84
Suppose 0 = -c - 2*c + 96. Let m = c + -18. Calculate the least common multiple of 10 and m.
70
Calculate the common denominator of -24 + 14 + 4 - 2498/(-360) and 187/60.
180
Suppose 15 = -2*d - 3*r, -5*d + 2*r + 29 = 95. What is the lowest common multiple of 12 and (51/34)/((-2)/d)?
36
Let q = -99 + 111. Calculate the least common multiple of q and 8.
24
Let o = -1675/3696 - -27/112. Calculate the common denominator of o and -14/39.
429
Let d be (-15 + 14)*(13 + 0). Let t = 31 + d. What is the smallest common multiple of t and 28?
252
Suppose -47*w - 285 = -62*w. What is the least common multiple of 51 and w?
969
Let t = 554 + -553. Let j = 6 + -1. Calculate the least common multiple of j and t.
5
Let k(i) = -i**2 - 4*i + 1. Let d = -91 - -102. What is the lowest common multiple of d and k(-3)?
44
Let l(z) = 15*z**2 - z + 3. Let b be l(3). Suppose 7*q - 2*q = b. Calculate the smallest common multiple of 18 and (-16)/6*q/(-6).
36
Let p(a) = -5*a**3 + 20*a**2 - 21*a + 7. Let z(y) = y**3 - y**2 + y. Let t(n) = p(n) + 6*z(n). Calculate the least common multiple of 21 and t(-15).
21
Let m = -2 + 2. Suppose m*t + 15 = 3*t. What is the smallest common multiple of 2 and (1 - 2/(-2))*t?
10
Let o = -812 + 832. What is the least common multiple of o and 650?
1300
Suppose -w + 0 = -2. Suppose 5*s - 20 = 2*t, 3*s + w*t - 3 = 25. Calculate the common denominator of 23/38 and (s/36)/((-15)/963).
190
Find the common denominator of (-16)/(-20) + (-636)/(-330) and 32/45.
495
Let t be -3638 - 1 - (-17)/17. Let r = 29033/8 + t. Find the common denominator of -57/2 and r.
8
Let q = -31 + 19. Let n = 42 - q. Suppose 5*c = -4*b + 112, -4*b - 5 - 63 = -4*c. Calculate the lowest common multiple of c and n.
540
Find the common denominator of 79/4 and 5/(800/(-356))*1.
40
Suppose j = -5*g - 5, 0 = -g + 2*g + 2. Suppose j*c - c = 12. Calculate the smallest common multiple of c and 3.
3
Find the common denominator of 139/(-119) - 94/799 and 1.
7
Suppose -k = 5*k + 126. Let b = -7 - -1. Calculate the lowest common multiple of b/k + (-136)/(-14) and 22.
110
Suppose 4*x - 1248 = -4*a, 130 = -3*a + 5*x + 1090. Calculate the lowest common multiple of a and 33.
3465
Let s(g) = g**3 + 11*g**2 + 8*g - 6. Let j be s(-10). Find the common denominator of -65/6 and 238/12*(3 - j/4).
12
Let j be (2 + -2)*(-2 - 4/(-4)). Suppose -5*x - 5*y + 125 = j, -2*x + 0*y = y - 45. Calculate the least common multiple of 36 and x.
180
Let a = -1040360/63 - -16513. Find the common denominator of -57/112 and a.
1008
Suppose 5*f = -2*g + 44, -4*f - 4*g = -29 + 1. Suppose -5*n = -f*n + 10. Calculate the smallest common multiple of n and 11.
22
Suppose -5*a - 8 - 27 = 0. Calculate the smallest common multiple of ((-4)/a)/((-1)/(28/(-8))) and 8.
8
Let j(p) = 77*p**2 + 20*p + 15. What is the least common multiple of j(-1) and 4?
72
Let j = -61490 - -3074401/50. Calculate the common denominator of j and 65/16.
400
Suppose 2*o - 3107 + 2561 = 0. Calculate the least common multiple of o and 3.
273
Calculate the least common multiple of -6*1*70/(-7) and 80.
240
Let f be (-430746)/(-105480) - (-2)/4. Let t = f - 1/2930. Let w = -13005/8 + 1635. Find the common denominator of w and t.
24
Let c = 10218 + -245303/24. Find the common denominator of c and -47/16.
48
Suppose 1650 = t + 4*t - 5*w, -3*t = w - 1010. Calculate the common denominator of t/15 - 4/4 and (-2)/(-3) - (-203)/(-12).
12
Calculate the lowest common multiple of 560 and -30*((-228)/10 - (-72 - -66)).
5040
Let i(s) = -s**2 - 10*s - 18. Let c be i(-8). Let f(t) = -5*t**3 - 4*t**2 + 2*t + 2. Calculate the least common multiple of f(c) and 12.
132
Let w = -7 - -8. Calculate the common denominator of 8/(-28) + (-247)/(-56) and 3*w/(-4) - 23.
8
Let v(x) = -4 + 5 + 0 + 10*x + x**2. Let r be v(-11). What is the least common multiple of (16 - r)/(1/2) and 10?
40
Let g(a) = 14*a + 240. Calculate the lowest common multiple of 22 and g(-17).
22
Let j = 126215/2752011 - 2/17987. Calculate the common denominator of 34/3 and j.
153
Let v = -8227799/212 + 38810. Find the common denominator of v and 39/40.
2120
Suppose -3*b - 3262 = 5*l, -3*b = -l + 3*l + 3256. Let y = 6455/6 + b. What is the common denominator of -38/3 and y?
6
Let i = -1814 + 1909. What is the lowest common multiple of 28 and i?
2660
Let y(k) = -4*k - 19. Let j be y(-19). Calculate the lowest common multiple of j/11 + (-8)/44 and 8.
40
Let g be (-453206525498)/(-4215) + 4/(-20). Let w = g - 107522284. Let n = -7/562 - w. Find the common denominator of -27/7 and n.
42
Let h = 70 + -34. What is the common denominator of -17/18 and (2/h*2)/(14/(-2667))?
18
Calculate the smallest common multiple of 15 and 27/18 + 388/8.
150
Find the common denominator of (-3 - (-324)/99)/(1 - 0) and -11/35.
385
Let t(j) = 62*j**2 + j - 11. Let c be 2/6 + (-28)/3. Let q be t(c). Let d = q + -45064/9. What is the common denominator of d and 1?
9
Suppose 3*k - 3 + 2 = 2*o, -o = -5*k + 11. Suppose -20*c + 18*c + 4 = 0. What is the lowest common multiple of c and o?
4
Let s = -1312/3 - -853/2. Calculate the common denominator of s and -149/96.
96
Let j = 297 + -23. Calculate the lowest common multiple of 6 and j.
822
Let y(l) = 22*l + 327. Calculate the least common multiple of y(-14) and 190.
190
Let k(m) = 3*m - 2. Let a be k(2). Let p = -11605/6 - -1939. What is the common denominator of (67/4)/((-54)/a) and p?
54
Let p = -17663419/120 + 147194. Calculate the common denominator of p and 13/10.
120
Suppose -7*g + 16 = -26. Let a(y) = -y**2 - 14*y + 14. What is the smallest common multiple of a(-14) and g?
42
Let g = 2327/4 + -570. Suppose 0 = 4*o - 38057 + 5913. Let m = 128507/16 - o. Calculate the common denominator of m and g.
16
Suppose -145 = -0*j - 5*j. Suppose 3*r = 3*i - 39, -4 = -i + 5*r + j. What is the smallest common multiple of i and 18?
72
Let a(c) = c**3 + 16*c**2 - 27*c + 6. What is the lowest common multiple of 14 and a(-17)?
1232
Suppose 0 = y - 35*y + 1428. What is the least common multiple of y and 9?
126
Suppose 5 = 4*c + 5. What is the common denominator of -121/50 and (-207)/(-18)*(0 + c + 1)?
50
Let z = -7150 + 57275/8. Let n = -21368 - -45777/2. Let u = 1485 - n. Find the common denominator of z and u.
8
Calculate the least common multiple of -1 + (-9)/(-6) + (-1865)/(-10) and 221.
2431
Let y = -5931441 + 12086487/2. Let j = y - 562018/5. Let r = j - -607. Find the common denominator of r and 39/8.
40
Let i = 4302 + -2394. Calculate the lowest common multiple of 12 and i.
1908
Suppose -128*c - 133 = -135*c. What is the least common multiple of 12 and c?
228
Suppose -3*u + t + 11 = 0, -5*u - 4*t + 5 = -2. What is the least common multiple of u and 12?
12
Let b = 226145/156 - 2901/2. Find the common denominator of 119/20 and b.
780
Suppose 3*r - 4*l - 4 = 28, 5*l = -4*r + 22. What is the smallest common multiple of r and 10?
40
Suppose -5*v - 18 = 2. Find the common denominator of (-6)/(-8) + (-155)/v and -47/3.
6
Let o(q) = 7 - 8*q**2 + 6*q**2 + 4*q**2 - 6*q. Calculate the smallest common multiple of o(5) and 33.
297
Suppose -5*w - n + 722 = 0, -3*w + 4*n + 201 = -223. Calculate the least common multiple of 80 and w.
720
Let s(d) = -d**3 - 5*d**2 - 4*d + 2. Let y be s(-4). Let w be (-5)/(20/(-12)) + y. Suppose 0 = 3*t - 4*t + w. What is the lowest common multiple of t and 7?
35
Let c = -1/472 + -13129/41064. Find the common denominator of -5/2 and c.
174
Let f = -10 + 16. Let a be 236/((-1)/(39/f)). Let k = a - -6041/4. Find the common denominator of 71/9 and k.
36
Let d = -189/29 + -214/203. What is the common denominator of d and -11/49?
49
Let x(r) = -2*r**3 - 51*r**2 + 36*r + 23. Let s be x(-23). Let t = s + 20615/6. Calculate the common denominator of t and 5/2.
6
Suppose 4*c + 477 = c. Let z = c + -78. Find the common denominator of (z/150)/((-2)/5) and 107/6.
60
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