et c = 3210 + 27355. Let a = -5746251/188 + c. Calculate the common denominator of (-38)/24 + (6 - 3) and a.
564
Let p(j) = -2*j**2 - 127*j - 883. Calculate the lowest common multiple of 224 and p(-51).
1568
Find the common denominator of ((-3949)/286 - -16)*(10/(-18))/(-5) and 65/9 - (-1)/(-2).
234
Let b(v) = -v**2 - 6*v - 3. Suppose -56*l + 42*l = -126. Calculate the smallest common multiple of l and b(-4).
45
Let f = 33/71 - 1229/3408. Calculate the common denominator of -137/48 and f.
48
Let p be (14/(-7) - -2) + 1020/2. Find the common denominator of -65/42 and p/(-84) - 0/2.
42
Let d be (-3)/(-234)*28101/105. Let x = -18/91 + d. Calculate the common denominator of x and 1 - (1 + -2)*86/30.
30
Let w = -802 + 12889/16. Let j be (2*18/(-118))/(94712/18390). Let b = j - 1/11839. Find the common denominator of w and b.
944
Let b = -2/156373 + 559063/45973662. Calculate the common denominator of b and 103/98.
2058
Suppose 5*k - 13 = -38, 5*v + 3*k - 600 = 0. What is the smallest common multiple of 4 and v?
492
Suppose -10*g + 7*g - 54 = 0. Let d = g + 29. Calculate the common denominator of 1/4*(103/d + 1) and -11/42.
462
Let s = -499 - -508. Let a(z) = z**2 + 2*z - 2. Let o be a(-3). What is the lowest common multiple of s and o + -1 + (3 - -39)?
126
Let y = -3357 - -30175/9. Let t(j) = j**2 + 19*j + 68. Let d be t(-5). Find the common denominator of y and 3/5 + d/630*69.
63
Let q = -101907 - -1528546/15. Let d = 1712 + -8594/5. Find the common denominator of q and d.
15
Let t(p) = p**3 - 14*p**2 + 24*p - 3. Let l be t(12). Let q = l - -23. Calculate the smallest common multiple of q and 24.
120
Let s be 33/(-2) - (-6)/(-12). Let w(r) = -23*r + 53. Let o(v) = -8*v + 18. Let i(j) = s*o(j) + 6*w(j). What is the least common multiple of 2 and i(-5)?
22
Calculate the common denominator of ((-28)/105)/((-19)/(5130/105)) and -36/305.
2135
Let v = 72 + -69. Let n = -24554/3997 + 1/3997. Find the common denominator of n and 296/(-20)*v/9.
105
Suppose 3*x + 39 = -2*q, q + x + 12 = -3*x. Calculate the common denominator of 242/q + ((-84)/(-7))/3 and -43/27.
108
Calculate the common denominator of 0 + 1 - 139/78 and 22/330 + 1427/30*-1.
78
Let g be 2/14 - (-2 + 72/14). Calculate the least common multiple of g/((-2 + (-76)/(-36))*-3) and 33.
99
Let n = 574/37 - -813/74. Calculate the common denominator of 35/1858 and n.
1858
Let k = 471 - 478. Calculate the common denominator of (10/25)/((-8)/(-74)) and 55/30*k + -4.
30
Let w = 50639/27016 + 2/3377. Let u = -5132125/144 - -35640. Find the common denominator of u and w.
144
Let c = -7/2 - 7. Let m = -1035932/430299 - -1/15937. What is the common denominator of c and m?
54
Let p be 2/7 - 1095/280. Let u = p + 63/88. Let s = 52 - 113/2. What is the common denominator of s and u?
22
Suppose -5*x + 3275 = 3*v, -5*v + 5421 = 438*x - 435*x. Calculate the smallest common multiple of v and 20.
1080
Suppose -302*m + 1406 = -1010. Suppose -5*h + 13 = 43. Calculate the least common multiple of m and (5 - 2)/(h/(-4)).
8
Let x be 4 + (-1 - 1)*64. Let q = x - 20. Find the common denominator of -127/36 and 18/(-60)*885/q.
288
Let t be (5/((-25)/4))/((-27)/(-810)). What is the common denominator of 26/7 and ((-2)/t)/((-42)/1380)?
42
Suppose -4*l - 2*h = -l - 4, -3*l + h + 7 = 0. Suppose 0*s - 2 = -l*s, z + 5*s = 17. Calculate the lowest common multiple of 9 and z.
36
Suppose 167 = 5*s + 3*i, 0 = 2*s - 4*i - 9 - 63. Suppose -s + 162 = 4*v. What is the smallest common multiple of 40 and v?
160
Suppose 343*g + 815 = 338*g. Let w = -159 - g. What is the smallest common multiple of w and 9?
36
Let i = 16/11 - -563/44. What is the common denominator of 37/21 and i?
84
Let r = 474450/479 - 1981/2. Find the common denominator of -7/12 and r.
5748
Suppose 0 = 10800*h - 10781*h - 2185. Calculate the lowest common multiple of 828 and h.
4140
Suppose 116*l - 118*l - 3*m = -389, l + 4*m = 207. Suppose -13 = -3*b + 2. What is the least common multiple of l and b?
935
Let h(g) = -12*g**2 + 6. Let o be h(-7). Calculate the common denominator of 199/(-20) + (3006/(-4175))/(3/(-5)) and 7/12*o/(-126).
36
Let x(c) = -11*c + 7. Let s be x(2). Suppose 5*b = -0*z - 2*z + 44, -5*b + 2*z + 36 = 0. What is the least common multiple of b and (-6)/s*85 + 4?
152
Let p = -202 + 203. What is the common denominator of ((-301)/(-21))/(1 + p) and -81/8?
24
Let g(x) = -x**3 - x**2 - x + 12. Let j be g(0). Find the common denominator of (-281)/j - (-6)/(-18) and 2/12 + 455/21.
12
Let d = 9304 + -8549. What is the smallest common multiple of d and 1510?
1510
Let z = -15441/1435 - -46/287. Calculate the common denominator of z and 77/850.
850
Let v(w) = 10*w - 75. Let g be v(8). Suppose -4*x + 16 + 29 = c, 0 = -g*x + 2*c + 40. Calculate the smallest common multiple of x and 33.
330
Find the common denominator of 576/(-84)*(72/(-12) - (-85)/13) and -19.
13
Suppose 2*d + 3*n = -2*d + 18, 3*n + 18 = 2*d. Let l be (-1 - 296/d) + 4/(-1). Let y = l - -1693/30. What is the common denominator of 56/3 and y?
30
What is the common denominator of 155/66 and 1050/19880*7/(63/(-58))?
4686
Let a = -13501/1598470 - 19/895. What is the common denominator of a and 5/12?
10716
Let w(p) = p + 28. Let r(h) = 42*h + 854. What is the smallest common multiple of w(12) and r(-20)?
280
Suppose -69 = -3*f - 0*f + 3*x, 49 = 2*f - x. Let r be (81/(-12) - -6)/(f/210764). Let n = r - -6076. What is the common denominator of n and -13/5?
130
Let j be (-30)/(-20) + (-34)/4. Let o be 78 - -2 - (j - -11). Let v = 98 - o. What is the lowest common multiple of 24 and v?
264
Let w(n) = -168*n - 21. Let l be w(2). What is the common denominator of 4 + (l/(-180) - (-8)/(-6)) and 2/25?
100
Let a = -5533 - -5688. What is the smallest common multiple of (-2)/(-5) + 86/10 and a?
1395
Let m = -3/4106 + -96473/24636. Find the common denominator of (-40)/15 - (0 - -1) and m.
12
Let g be (-2)/4*14/7. Let u = -1517/253 + 48/23. Find the common denominator of ((246/69 + -3)*g)/1 and u.
253
Let z(o) = 4*o**2 + 4*o + 2. Let s(r) = -927*r + 1864. Calculate the smallest common multiple of s(2) and z(-2).
10
Calculate the common denominator of ((-23)/(-21) - 1)/(1744/(-14715)) and 3*-1 + 1575/539.
616
Let y be 36/(-180) + (-8150666)/770. Let r = y - -10585. What is the common denominator of -32/35 and r?
385
Suppose -245*h + 250*h = -2*p + 165, 398 = 5*p - 2*h. Calculate the smallest common multiple of p and 52.
1040
Suppose -2*l = -3092 + 2996. Calculate the smallest common multiple of -2 + 1 + (62 - -3) and l.
192
Let g = 707/8 + -280/3. What is the common denominator of (-23)/((-11)/((-330)/2385)) and g?
1272
Suppose 2 = 3*o + 4*p, 5*o - 5*p = 4*o - 12. What is the lowest common multiple of (-805)/(-10) + 1/o + 0 and 4?
80
Suppose -4*f + 7*f - 81 = 0. Suppose -3*a = -15*a + 516. Suppose 5*b - 35 = -j, 2*b + 5*j - a = -b. What is the lowest common multiple of b and f?
54
Let n = -90 - -38. Let o = 4 - n. Let x = o + -34. Calculate the smallest common multiple of x and 6.
66
Suppose -6*c + 2*x = -c - 442, -85 = -c - 3*x. Calculate the least common multiple of 28 and (-1)/(c/(-1072)) - 4/22.
84
Let b be 4 - 175164/21906 - -4. Let w = 191546/441771 - b. Calculate the common denominator of w and -41/88.
968
Suppose 0 = -16*k + 21*k. Let z(x) be the first derivative of -x**4/4 - x**3/3 + 3*x**2/2 + 13*x + 18. Calculate the least common multiple of z(k) and 5.
65
Let v = 85592 + -6847643/80. Let q = v + 3/80. Calculate the common denominator of 97/4 and q.
4
Let z(b) = -b**3 + 8*b**2 - 7*b - 3. Let w = -158 + 161. Let u(m) = 3*m**2 - 10*m + 24. What is the smallest common multiple of u(w) and z(6)?
189
Suppose 431*o = 404*o - 216. Let s be (-5)/(15/(-6)) - 20. Calculate the smallest common multiple of (12/s)/(o/84) and 2.
14
Let p(l) = -l**3 - 2*l**2 - 1. Let d(y) = -46*y - 131. Let o be d(-3). Suppose 5 = j, s - 8*j = -3*j - o. What is the least common multiple of p(-3) and s?
72
Let o = -35501/4 - -8887. Let a = -5353/1880 - 1/376. What is the common denominator of a and o?
20
Suppose -w + 6 = i, -4*i + w = -2 - 22. Suppose -7*m + 3 = -i*m. Let a = 53 - 39. What is the lowest common multiple of a and m?
42
Suppose -g = -2*p - 84, -3*g + 2*p = p - 252. What is the lowest common multiple of g and 759?
21252
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