18*m - 20*m + 48. Calculate the lowest common multiple of 30 and m.
120
Suppose -1428 = 28*y - 11*y. Calculate the common denominator of -37/56 and ((-2619)/y)/9 + 0/(-5).
56
Let y(r) = 2*r**2 + 4. Let c be y(5). Suppose 4*i - 3*f = c, -3*i = -2*f - 8 - 33. Let h = i + -13. Calculate the smallest common multiple of h and 10.
10
Suppose 0 = -1249*s + 1240*s + 2970. Calculate the smallest common multiple of s and 33.
330
Suppose 4*r + m = 22, 0*r - 2*r - m + 12 = 0. Suppose r*u - 40 = 5*n, -4*n - 2 = -0*u - u. Calculate the common denominator of 8/u + -1 + 190/60 and 61/33.
330
Let o(g) = 30*g - 236. Calculate the smallest common multiple of o(8) and (4 - (-10)/(-3))*(0 + 9).
12
Let d = 822 + -422. Let m = 9652 - d. Let t = 166481/18 - m. Find the common denominator of -107/10 and t.
90
Suppose 0 = -5*f + 5*m + 7035, -3*f + 4*f + 2*m - 1422 = 0. Let t = -8507/6 + f. Calculate the common denominator of t and -4 + (-425)/(-40) + -2.
24
Let x(h) = 43*h**3 + 2*h**2 - h. What is the lowest common multiple of (-3 + -7)/((-80)/96) + 2 and x(1)?
308
Find the common denominator of -5/803 and ((-8)/(-6132))/((1 - -8) + 474/(-54)).
5621
Let n = -3992753/14 + 284998. Let h = n - -401/2. Find the common denominator of 4 + (-432)/330 - 6/(-15) and h.
77
Find the common denominator of 99/62 and (5 + (-6918)/434 - (-8 - -2)) + 5.
434
Suppose 3*g - 10 = -5*c + 16, g + 18 = 5*c. Calculate the lowest common multiple of ((-6)/8)/(6/(-16)*4)*94 and g.
94
Suppose 6*i = 4956 + 672. What is the common denominator of -13/140 and ((-30)/40)/(2 - i/436)?
1540
What is the common denominator of (2 - (-3)/(-2))/(18/68) and (8/(-120))/(50/585)?
450
Let c = -23 + -9. Let r be (66/(-8))/(6/c). Suppose -2*y + 4*y = r. Calculate the lowest common multiple of y and 6.
66
What is the common denominator of 62/117*((-410)/30 + 14) and 74/39?
351
Suppose -4*w + 2*w = -p + 5, -5*w = -5*p + 25. Suppose -9 - 11 = -4*g. Suppose z + g = 11. What is the lowest common multiple of p and z?
30
Let w be 71096/3138*(-25)/(-400). Let u = -1/1569 - w. Let a = -8269 - -124114/15. Calculate the common denominator of a and u.
60
Suppose 2 = v, o - 2*v = -3*v + 26. Suppose -5*x + 8*x = 78. Let c = x - o. What is the smallest common multiple of 4 and c?
4
Suppose 3*n - 319 = -11*c, -5*c + 201 = -15*n + 17*n. What is the smallest common multiple of 784 and n?
8624
Suppose -192 - 112 = -31*w - 7*w. Suppose -2*j + 48 = -52. What is the least common multiple of j and w?
200
Let h = 17970 + -9935. Calculate the least common multiple of 7 and h.
56245
Suppose -24*i - 16*i - 6*i + 2346 = 0. What is the least common multiple of i and 144?
2448
Let h(z) = -z**3 + z**2 + z + 2. Suppose -18*u = -5*u - 39. Suppose -57 + 39 = -u*a. What is the smallest common multiple of a and h(0)?
6
Let n(t) = t - 1. Let q be n(7). Suppose -125 = -q*f + 7. Suppose -2*y + 29 = -z, f = y - 4*z + 6*z. Calculate the smallest common multiple of 16 and y.
16
Calculate the least common multiple of 960 and -5*(12/90 + 0) + 32786/39.
6720
Suppose -3*j = -2*k + 245, 511 = 5*k + j - 144. Suppose k = 3*u - 4*r, -3*u + 24 + 136 = 2*r. Calculate the least common multiple of 16 and u.
400
Calculate the smallest common multiple of (-9)/(225/400)*(-3)/3 and 3586.
28688
Calculate the common denominator of (-236)/(-15) + 2 + -16 and 74/(-55)*5/(-3).
165
Suppose -3*z = 5*s - 38, 0*z - 4*s - 8 = -4*z. Let r(x) = 2*x**2 + 4*x + 4. Calculate the lowest common multiple of z and r(-1).
6
Suppose -5735 - 15601 = -56*u. What is the least common multiple of 102 and u?
12954
Let q = 9 - 1. Suppose 0 = -o, -5*v - 1776 = -v - 2*o. What is the lowest common multiple of v/(-22) + 22/(-121) and q?
40
Let k = -10468 + 10948. What is the least common multiple of 912 and k?
9120
Let h = 48303 - 60233810/1247. Find the common denominator of h and -7/387.
11223
Let x = -61075/12 + 5082. Find the common denominator of x and ((-2)/12)/((-8)/254).
24
What is the common denominator of 592/36*141/(-94) and -43/345?
345
Let f be (-4 - -3)*(1 - 0)*-5. Suppose 3*t = 3, -4*r - r + f*t + 195 = 0. Calculate the smallest common multiple of r and 8.
40
Calculate the common denominator of 40/51 and (13 - (-321763)/(-24765))*10.
6477
Let t be ((-7919)/2564)/(7 + (-190)/20). Let u = t - 4/1923. What is the common denominator of u and 42/55?
330
Let i = 83 - 21. Find the common denominator of 1239/(-1666) - (-2)/(-7) and (i/12 - -4)*3.
34
Calculate the common denominator of (5143/512 - (-10 - -17)) + -3 and -113/18.
4608
Calculate the least common multiple of (-2756)/(-884) + 2/(-34)*2 and 1569.
1569
Suppose -3*r = y + 5*y - 270, -2*y - 3*r + 102 = 0. Calculate the lowest common multiple of 564 and y.
3948
Let a = -1 + 3. Let y be (-1)/2*(2 - -2) - -14. Suppose 2*x = 14*t - y*t + 14, 4*x = 3*t + 32. Calculate the least common multiple of a and x.
22
Let w be -7*(4 - 3) - 2. Let v be (w/12)/(3/(-8)). Suppose -2*s - 3*m - v*m + 16 = 0, m = -4*s + 32. What is the smallest common multiple of 12 and s?
24
Let g be ((-9)/(5 - 8))/(3/5). Suppose 186 = 4*i - 0*i + 3*f, -5*f = -g*i + 215. Calculate the least common multiple of 110 and (-1)/3 + 1 + 690/i.
880
Let g = 35 - 12. Let o = 129/2 - g. Find the common denominator of o and -37/31.
62
Let w(r) = 24*r**2 - 83*r + 8. Calculate the least common multiple of 153 and w(6).
3366
Suppose 3*i + 4*w = 11008, 597 + 14036 = 4*i - w. Calculate the least common multiple of i and 80.
14640
Let d = 337/7 + -4451/42. Let y = d - -46/3. Find the common denominator of 95/2 and y.
2
Suppose -5*k - 127*c + 131*c = -28, 3*k - 33 = -3*c. Calculate the lowest common multiple of 11950/400 - (-1)/k and 128.
1920
Let x(u) = -60*u**3 - 4*u**2 - 3*u + 1. Let v = 243 + -244. What is the lowest common multiple of 14 and x(v)?
420
Let o = -161065/8706 - -2/4353. Let j = -1/7986 - -16307/2675310. Let b = j + 13057/1340. Calculate the common denominator of b and o.
4
Let x = -45 - -26. Let m(f) = f**2 + 22*f + 61. Let d be m(x). What is the common denominator of -2 and (d + (-51)/15)*(-38)/(-3)?
5
Let i = -1 - -3. Let x(u) = 7246*u + 80064. What is the smallest common multiple of i and x(-11)?
358
Let i(a) = -17*a**2 + 2*a - 9. Let p be i(4). What is the common denominator of -31/6 and 18/63 - (-288)/p?
78
Suppose -336 = -c + 220. Let s = -496 + c. Calculate the smallest common multiple of 30 and s.
60
Let z = 81515/36 + -2264. What is the common denominator of (451/77)/((-13)/((-273)/(-72))) and z?
72
Let l(f) be the first derivative of -f**4/4 - 10*f**3/3 + 4*f**2 - 18*f + 7. Let n be l(-11). What is the least common multiple of (6/8*-2)/(n/(-30)) and 11?
33
Let s = -10681 - -11025. What is the least common multiple of 344 and s?
344
Let k = -70649/12 - -5898. Suppose -3*f - 2853 = 3*s, 0 = -f - 0*s + 2*s - 960. Let d = -1821/2 - f. What is the common denominator of d and k?
12
Let a(u) = u**3 - 17*u**2 - 63*u - 214. Calculate the smallest common multiple of 27 and a(21).
6129
Let s(b) = b**3 - 62*b**2 + 64*b - 177. Calculate the lowest common multiple of 6094 and s(61).
18282
Let b = -2319/10 - -62813/270. What is the common denominator of 7/6051 and b?
54459
Suppose -1 = 5*h - 6. Suppose -u - v + 4 = 0, 5*u - 20 = 3*u + 4*v. Calculate the smallest common multiple of h and u.
6
Let y = 15343 - 10333. What is the lowest common multiple of y and 8?
20040
Calculate the common denominator of (24 - 17) + 530/(-36) and 157/1650.
4950
Let c be (8/(-10))/(240/25 + -10). What is the common denominator of (-3552)/540 + (-2)/9 and c/18*348/8?
30
Let h be (-2)/7 + 4/(-14)*-358. Let n = -66 + h. What is the smallest common multiple of 32 and n?
288
Let m(o) = -o**2 - 12*o - 12. Let f be m(-8). Let i = 130 - f. What is the least common multiple of 22 and i/9 - (-10)/(-45)?
132
Let y be (-15 - -13) + (3 - (-1 + 1)). Calculate the common denominator of -85/18 and 33/30*y/(-12)*5.
72
What is the smallest common multiple of 51/(-12) + 4 - (-1691)/76 and 700?
7700
Suppose 15917*t - 15899*t - 29880 = 0. What is the smallest common multiple of t and 1328?
6640
Let x be 6/33 - (-3 - 210/(-66)). Suppose 80*f - 88*f + 80 = x. What is the least common multiple of f and -1 - -17 - 1 - 1?
70
Let f = -9/874 - 10121/14421. Find the common denominator of f and 48/1331.
7986
Let h be 1/((-9)/(