 m = x - -10. Calculate the lowest common multiple of m and 27.
27
Let g = -87 + 111. Suppose 4*i = 4*c - g, i - 15 = -2*i. Suppose 68 = 2*z + 10. What is the smallest common multiple of z and c?
319
Let x(s) = -s + 8. Let y be x(-19). Suppose -19*u + y*u = 384. Calculate the least common multiple of 12 and u.
48
What is the common denominator of 2/(-6) - (-26939)/(-4092) and -23/730?
4380
Let d be (-13)/(-3) + (-2 - (-32)/12). Suppose 0 = d*i - 4*f - 1464, 5*f - 7*f + 8 = 0. What is the smallest common multiple of i and 20?
1480
Let y = -1809/7 - -769231/2975. What is the common denominator of -20/459 and y?
11475
Let p(d) = d**2 + 14*d + 38. Let g be p(-6). What is the common denominator of -41/9 and 1 - (-166)/8 - g/(-20)?
36
Suppose 4*m - 342 = 10*m. Let b = -14 - m. Let l = -146 - -791/5. Find the common denominator of l and b.
5
Let r = 93541/2 + -46730. Calculate the common denominator of r and (-1 - -2) + (-89)/60.
60
Calculate the least common multiple of 747 and (2*54/20)/((48/(-40))/(-6)).
2241
Suppose 4*m - 11737 = -4357. What is the least common multiple of m and 2050?
18450
Suppose -15 = f + 2*f, 4*f = -j - 11. Suppose -229 = -j*z - 85. Suppose -4*c = z, -4*u + 3 + 17 = -3*c. Calculate the lowest common multiple of u and 24.
24
Let r be (-2)/7 - (0 - 26/(-7)). Let w be r/(-16)*4 + 4. Find the common denominator of -23/19 and (w/10)/(6/140).
57
Let a(n) = 30*n**2 + n + 1. Calculate the least common multiple of a(-1) and 7 + (-12 - -12) + 2.
90
Let f = 2618/3 - 862. What is the common denominator of f and 9/6*(1 - 272/120)?
30
What is the common denominator of (48609/(-5400) + 5 + 4)*154 and -38/375?
1500
Let o = -63442319825593/15258532614402 - -4/465170801. Let p = -32/1491 - o. Calculate the common denominator of p and 95/24.
264
Suppose -139305 = -22*f - 48885. What is the smallest common multiple of 1918 and f?
28770
Let o(b) = b - 4. Let c be o(9). Calculate the common denominator of 3 + -3 - (-62)/(-16) and 870/(-96)*(-1)/c.
16
Suppose 8*v + 264 = 2*v. Let p = 58 + v. Suppose s - 34 = 4*l, 5*s + l - 87 - 125 = 0. Calculate the lowest common multiple of s and p.
42
Suppose 401 = -7*d + 3929. Calculate the least common multiple of 210 and d.
2520
Let v = 5 + 9. Let p = 757 + -550. What is the lowest common multiple of v and (-7)/2*(p/63 - 5)?
42
Let n = 86 - 60. Let m = 9085 - 9057. Calculate the smallest common multiple of m and n.
364
Let z = 1126765/42 + -26825. Find the common denominator of z and -95/498.
3486
Let d = -3193 + 3336. What is the least common multiple of d and 484?
6292
Calculate the smallest common multiple of 54 and -10*(115/50 - 7) - -7.
54
Let f = -6/1657 + -71215/9942. What is the common denominator of 89/256 and f?
768
Suppose 0 = y - 5, -3*y + 787 = -3*n - 770. Let l = n - -525. Calculate the least common multiple of 55 and l.
55
Let o(s) = -s**3 - 10*s**2 - 7*s + 15. Let n be o(-9). Let f be 6123/3 + n - -2 - -4. Calculate the common denominator of f/(-672)*3/4 and -49/32.
32
Suppose 0 = -2*w - 0*j - j - 124, -4*w - 248 = -4*j. Let l = 67 + w. Suppose l*d - 120 = -45. Calculate the least common multiple of d and 12.
60
Suppose -16 = -4*k + 4*l, 35 = 4*k + 4*l - 13. Calculate the common denominator of (-127)/k*6/(-9)*2 and 143/90.
90
Let v(y) = 6*y**3 + 12*y**2 + 14*y - 16. Let a be v(11). Suppose -2*j - a = 4*j. Let m = j + 11195/7. Find the common denominator of m and 45.
7
Suppose 0 = -5*g - 0*g + 90. Suppose 31*m - 484 = 260. What is the smallest common multiple of g and m?
72
Let v be (-1 + (4 - -1))/4. Let g = v + -10. What is the common denominator of (0 + 2)*3*g/30 and -46/5?
5
Let g(a) = 153*a - 261. Calculate the least common multiple of g(2) and 189.
945
Let b = 9 - 3. Let d = -286 + 330. Suppose d*u = 4*u + 440. What is the smallest common multiple of u and b?
66
Suppose 3*z - 210 = -2*z. Let l = 29707 + -29659. What is the smallest common multiple of z and l?
336
Let v = -12533 - -3772436/301. Calculate the common denominator of v and 1/258.
1806
Suppose -20 = -2*p - 0*p. Let f(g) = -3*g + 9. Let m be f(6). Let h = m + 13. Calculate the least common multiple of h and p.
20
Suppose -5*p + 23 = -17. Suppose -3*z = z - p. Let t(w) = 7*w - 14. What is the least common multiple of t(4) and z?
14
Let l = -1080575/77 - -14034. Calculate the common denominator of l and (-2922)/1320 - ((-52)/16 - -2).
385
Let o = -4324/7 - -47505/77. What is the common denominator of (-1 - 1) + 17/7 and o?
77
Let r = -90733/1106280 - 1/7902. What is the common denominator of r and 61/630?
2520
Let m = 21167/12816 - -5/4272. Let i = -13/23 + 1471/690. What is the common denominator of m and i?
360
Let z(c) = -22*c + 406. Let l(b) = -19*b - 96. Let x be l(-6). Calculate the lowest common multiple of z(x) and 40.
40
Suppose 91*o - 72*o = 3458. What is the lowest common multiple of 78 and o?
546
Let q = 46468359/1970 - 23588. Let j = 137891/17730 - q. Let i = 2389 + -7225/3. Calculate the common denominator of j and i.
9
Let l be (0 - -26)/((-2)/4). Let z(s) = 2*s**2 + 32*s - 161. Let p be z(-19). Let y = p - l. What is the smallest common multiple of y and 3?
15
Let d = -39 + 36. Let b be ((-7)/(-4))/(d/(-12)). Suppose 5*t + 2*j = 19, 3*t - b - 12 = -5*j. What is the least common multiple of 6 and t?
6
Suppose 0 = 23*b - 22*b - 1325. Calculate the lowest common multiple of 35 and b.
9275
Let o = -138614 + 14970443/108. Calculate the common denominator of o and (-25 - 196/(-8))*(-5)/(20/(-11)).
216
Let k(i) = i**2 + 43*i + 16. What is the smallest common multiple of 6 and k(47)?
12738
What is the least common multiple of (293/(-2) + -8)/(5/(400/(-15))) and 34?
14008
Let r(f) = -166*f - 981. Calculate the smallest common multiple of r(-6) and 2049.
10245
Suppose 220 = -39*q + 43*q. Find the common denominator of 57/158 and 1/(-8)*(9 - q).
316
Suppose -5*m - 3*q + 3210 = -q, 3*m = q + 1915. Suppose 0 = 5*c + l - m, 5*c + 3*l - 489 = 151. Calculate the lowest common multiple of 7 + -2*2/4 and c.
384
Suppose -5*g = -3*r - 39, 4*r + 1 = -11. Suppose 0 = 3*k, 5*m - g*k + 8*k + 10 = 0. What is the least common multiple of 12 and ((-16)/6)/(m*1/6)?
24
Suppose 61 = 7*p + 19. Let i = 17 - 19. Calculate the common denominator of -27/10 and p/(-10) - ((-801)/(-165) + i).
110
Let w = 47945/23004 + -5/5751. Find the common denominator of 55/2784 and w.
2784
Let y = 24896 - 24894. Calculate the least common multiple of 218 and y.
218
Let p(n) = n**2 - 36*n + 29. Let l be p(37). Suppose -77*x = -l*x - 44. Let t(a) = a**2 + 5*a - 3. Calculate the least common multiple of t(-6) and x.
12
Let i = 15746 + -62903/4. Let y = -7 - -12. What is the common denominator of y/(-8)*438/75 and i?
20
Let f = 7/2788 + -22135/2091. Suppose 7*p - 7 = 14. Find the common denominator of f and (p - (-183)/(-36))/1.
12
Let p = 45 + -25. Calculate the least common multiple of (-160)/(-60)*(-330)/(-176) and p.
20
Suppose -9*j + 4*j + 475 = w, 5*w = -4*j + 2333. Calculate the smallest common multiple of w and 4.
1860
Suppose 0 = 4*i - 5*g - 451, 5*i + 4*g - 335 - 198 = 0. Let u = i - 117. What is the common denominator of ((-142)/(-24))/((-36)/u) and 71/51?
918
Let u be ((117/(-104))/3)/((-2)/4072). Let g = 807 - u. Find the common denominator of -37/164 and g.
164
Suppose -5*c + 1 = 6. Let i(y) = -13*y + 1. What is the least common multiple of i(c) and (208/(-24))/(5/3 - 2)?
182
Let o = 3/4756 - -286/17835. Find the common denominator of o and 43/1080.
1080
Let u = 11837 - 6713. What is the least common multiple of u and 48?
20496
Let r = 6 + -4. Suppose 140 = 5*j - r*p + 966, 2*j = -p - 334. Find the common denominator of 4 - (j/(-28) - 12/(-42)) and 101/6.
42
Let z = -9782655/6944 + 45031/32. Let v = z + -15/217. What is the common denominator of 1834/18340 - (620/(-175) - -4) and v?
14
Let z(b) = -6*b - 93. Let f be z(-13). What is the common denominator of 11/42 and (-6)/f + 915/(-2975)?
714
Let l = -14 + 23. Let v = -2643 + 2647. What is the smallest common multiple of l and v?
36
Let b be (3/2)/((-3)/(-20)). Suppose -b - 2 = 3*o. What is the lowest common multiple of ((-2)/o)/(1/18) and 4?
36
Let v = 18118189/301689180 + -4/329355. What is the common denominator of -53/12 and v?
2748
Let a(d) = -d**2 + 7*d + 28. Let q(b) = b**3 - 18*b**2 + 2*b - 