nd -4 - -7 - v/(-7).
42
Let s be (54/(-8) + 6)*-4. Suppose 8 = s*b - 7, -2*b - 26 = -4*z. Calculate the lowest common multiple of z and 2/1 + (2 - -11).
45
Let d = 410046407/35028067010 + 2/4940489. Find the common denominator of 43/14 and d.
49630
Let a = -5102 - -6366. What is the least common multiple of 790 and a?
6320
Let l be 429/495*37330/44. Let q = l + -735. Find the common denominator of 41/42 and q.
462
Calculate the common denominator of 16/2241 and (-30)/(-10) - ((-3344)/3861 - -4).
29133
Let g(d) = 44*d - 991. Calculate the lowest common multiple of g(34) and 40.
4040
Let s be (-2 + -1)*(-2 - -1). Suppose 3*w = 2*w + s. Suppose -13*x - 96 = -29*x. What is the lowest common multiple of w and x?
6
Let q be ((-13)/2)/((-38)/228). Calculate the least common multiple of ((-4)/6 - q/9) + 41 and 16.
144
Let g = 37701/8 + -4700. What is the common denominator of g and -5/1544?
1544
Let y be 3*-1 + (-6512407)/(-2170827). Let l = 2561983/469368 + y. Find the common denominator of -101/44 and l.
264
Calculate the common denominator of (111/(-756))/(198/44) and 25/126.
1134
Let v be 3*-2*3/6. Let o(s) be the third derivative of s**5/60 - s**4/24 - 5*s**3/6 - 38*s**2. What is the lowest common multiple of o(v) and 10?
70
Let g(v) = -v**2 - 3*v + 2. Suppose j = 5*k - 280, k + 2*j - 78 = -33. What is the least common multiple of k and g(0)?
110
Suppose 3*m = -5*z + 21, 3*z + z = -2*m + 16. Let g(c) = 23*c + 6. What is the smallest common multiple of g(m) and 7?
364
Suppose -3*r - 88*o + 91*o = -411, 5*o = -11*r + 1555. Let b(n) = -n**2 + 8*n - 9. Calculate the least common multiple of b(6) and r.
420
Let x = -19729931/480 + 41104. What is the common denominator of -5/12 and x?
480
Calculate the least common multiple of 3 + 0 + 320 + 1 and 285/7 + -1 + ((-168)/98 - -2).
3240
Suppose 0 = 30*p - 4487 - 3853. Let s = p + -268. Calculate the lowest common multiple of 7 and s.
70
Suppose -3 = a + 5*s, -3*a + s + 5 = -a. What is the common denominator of 136/(-87) - a/(-12) and (-9)/8 - 1 - 1?
232
Let g be -5 - 2*(-26 - 3). What is the common denominator of g/11 + 0*(-6)/42 and (-127)/(-87) - (-3)/9?
319
Suppose 4*f + 14 = 2. Let b = f - -8. What is the smallest common multiple of 11 and ((-2)/3)/2*(-46 - b)?
187
Let n be (-12 - 18)*4/2. Let r = 237449/24 - 9900. Find the common denominator of r and ((-31)/n + 15/(-25))*-122.
24
Let r(z) = -3*z**3 - z**2 - z + 24. Let x be (-4)/10 - 4/(-10). Calculate the lowest common multiple of 27 and r(x).
216
Calculate the lowest common multiple of -9*1 - (414800/(-55) + 2/(-11)) and 72.
60264
Let i be ((-12)/9)/(1/(-87)). Let z = -620 - -624. Suppose 5*s - 4*r = i, z*s + 4*r = 97 - 33. Calculate the lowest common multiple of 8 and s.
40
Suppose 17*a + 42*a = -61*a + 720. Calculate the least common multiple of a and 578.
1734
Let l(c) = 2*c**2 + 6*c + 2. Let f(q) = -q**3 - 4*q**2 - 8*q - 9. Let h = 25 + -28. What is the least common multiple of f(h) and l(-4)?
30
Let w(c) = 59*c - 478. What is the lowest common multiple of w(38) and 714?
29988
What is the common denominator of 5640/(-200) + 27 + (-526)/(-580) and (-134)/(-42) + 2/(-6)?
406
Calculate the lowest common multiple of 18 and 1704/1420*4345/3.
15642
Let u = -435/28 - -21269/84. Let c be (-2 + (-213)/2)*-2. Let d = u - c. Calculate the common denominator of 93/2 and d.
6
Let f = 121 + -151. Calculate the lowest common multiple of (24/(-9))/(212/f + 7) and 10.
40
Let j = 6154 - 5092. Calculate the least common multiple of 2124 and j.
2124
Suppose 9*s = -24 + 33. Let h(j) = 48*j**2 - 12*j + 13. Calculate the lowest common multiple of 28 and h(s).
196
Suppose 127*g = 131*g - 256. Suppose -46*r + 570 = g. Suppose -4*p - p + 60 = 0. What is the smallest common multiple of p and r?
132
Let a(j) = 2*j**2 + 4*j + 4. Let p(q) = -q**2 + 6*q + 1. Let g be p(6). Let r be 4 - g - (15 + -11). What is the smallest common multiple of 2 and a(r)?
2
Let b = 1547 - 2787/2. Let l = b + -132. Find the common denominator of l and 7/(-10)*1007/133.
10
Suppose -27*f + 31*f = 49324. Suppose -4*x + f = -11409. Let y = 35521/6 - x. Calculate the common denominator of y and 61/212.
636
What is the common denominator of 37/224 and (-19)/95 - 1164/80?
224
Let j = 1339 + -518. Suppose -3*n + g = -j, 5*n + 3*g - 1369 = 4*g. Calculate the smallest common multiple of n and 4.
548
Suppose c = 20 + 27. Suppose 11 - c = -2*m. Calculate the smallest common multiple of m and 2/((-2)/(-14 - 4)).
18
Suppose 0 = 5*n - j - 878, -87 = 2*n - 5*j - 429. What is the smallest common multiple of n and 8?
176
Let l = -42 - -90. What is the lowest common multiple of l and -4 - (0 - (-1 - -9))?
48
Let b = -10142 + 10237. Calculate the least common multiple of 418 and b.
2090
Let r = 17442339485/8431 - 2068834. What is the common denominator of r and 46/3?
25293
Suppose -67 = -5*d - a, 20 = d - 410*a + 408*a. Let c(u) = 2*u**2 + 2*u. Calculate the lowest common multiple of d and c(2).
84
Suppose 52*y - 1344 = -44*y. Calculate the smallest common multiple of y and 34.
238
Let l = 1363301/5085118860 - 2/446847. What is the common denominator of l and -97/12?
34140
Let z = 5/3019 + -341647/301900. Calculate the common denominator of z and 1/5.
100
Let t be (88/(-66))/(-2*(-1)/(-351)). Let q = t + -218. What is the least common multiple of 142 and q?
1136
Suppose -2 = 3*k + 16. Calculate the common denominator of (-2 - k)*17/8 and 4623/(-268)*12/(-42).
14
Suppose d - 19 + 8 = 0. Suppose -s + 3*w - d = 5, 0 = 2*w - 8. Find the common denominator of -47/34 and (s + 232/60)*6/(-4).
170
Suppose 4*u = 134 + 94. Let h = 5 - u. Let q = -45 - h. What is the smallest common multiple of 41 and q?
287
Let j(g) = 2*g**2 - 3*g. Let a be (4/(-6))/((-6)/27). Let f = 18867 + -18855. Calculate the lowest common multiple of j(a) and f.
36
Let u = 6 + -41. Let w = -8539/66 - -1205/11. What is the common denominator of ((-40)/u)/4 + 778/(-28) and w?
6
Calculate the common denominator of 35/12 and 3253*(-3)/(-3330) + 3 + -12 + 6.
2220
Suppose 10 = 3*o - 11. Let x = o - -2. Let f = 5 + 4. Calculate the least common multiple of x and f.
9
Let w = -5/181 + -13862/2715. Find the common denominator of -44/21 and w.
105
Let z be (-34)/(-170) - ((-19)/5 - -1). Calculate the smallest common multiple of 6 and 2 + z + 140/1 + 0.
870
Suppose -4*v + 172 = 4*t, 5*v = 2*t - 120 + 20. Find the common denominator of (-2)/16*170*6/t and 11/83.
498
Let t = -403851549/4961060 + 42/95405. Let a = -730/13 - t. Calculate the common denominator of 129/10*(-2)/(-12) and a.
20
What is the common denominator of (5004/63 - 21/49)/18 and 81/2308?
20772
Let p = -1/2992 - -6013/86768. What is the common denominator of 149/846 and p?
24534
Suppose -5586 = -297*k + 259*k. Calculate the lowest common multiple of 483 and k.
3381
Let f(y) = y**2 + 7*y + 2. Let v be f(-5). Let h be v*6/(-4)*-2. What is the common denominator of -55/3 and h/132 + 758/(-66)?
3
Suppose -13*b - 1535 = -4584 - 3815. Calculate the lowest common multiple of 48 and b.
528
Suppose -3*m + o = 1239 - 3949, -2*o - 1812 = -2*m. What is the smallest common multiple of 176 and m?
7216
Let y = 839/2 + -12703/30. Calculate the common denominator of y and -33/35.
105
Suppose 76*p - 88*p = -867 - 837. What is the smallest common multiple of 1491 and p?
2982
Let z = 8963 + -8879. What is the smallest common multiple of 476 and z?
1428
Suppose 0 = r - 18 + 9. Suppose -5*a - 5*i = 11 + 54, 2*a - i + 32 = 0. Find the common denominator of 6/r - (-185)/a and -62/21.
21
Suppose g - 181 = -2*j, 0*g + 2*g - 397 = 3*j. Let b = g - 187. What is the lowest common multiple of b and 8?
8
Let s = -34601/14513430 + -283/6485. Find the common denominator of s and -55/2.
2238
Let a = 33/17 - 583/204. What is the common denominator of -2/123 and a?
492
Let c(h) = 46*h + 6. Let v be c(1). Let b = 14 + v. Suppose 117 = 2*t - r, t + b = 2*t - 3*r. Calculate the lowest common multiple of t and 27.
513
Let x(i) = -20*i + 290. Let y be x(-36). Calculate the smallest common multiple of 6 and (1/(-2))/((-5)/y).
606
Let y = -44/585 - -961/1170. Calculate the common denominator of y and -9/5.
130
Let q(t) = 14*t - 43 - t - 3 + 17*t**2 + t**3 - 38*t. What is the least common multiple of q(-18) and 5?
80
Let z = 7047 + -84671