/15*(-267)/28 and (23/3)/((-4)/3).
28
Let c = 7 - 2. Suppose -z - 16 = -c*z. Let f = 56 - 47. What is the smallest common multiple of f and z?
36
Let f be (-3 + 0 - 5) + 3. Let c(x) = 2*x**3 + 8*x**2 - 11*x - 1. What is the least common multiple of c(f) and 6?
12
Let w(g) = 44*g**2 + 7*g + 39. Let b(y) = -21*y**2 - 4*y - 20. Let n(d) = -5*b(d) - 2*w(d). Calculate the least common multiple of n(-2) and 117.
234
Calculate the common denominator of 5/(-56)*((-2236)/65 - -10) and 5/344.
2408
Let k = 1429/14 + -459/7. Let u be 6172/(-3) - 3*(-4)/(-18). What is the common denominator of (-219)/8*(-12 - u/171) and k?
76
Find the common denominator of (7*54/(-354816))/((-6)/(-404)) and 157/198.
12672
Find the common denominator of 101/1648 and 3801/2472 + (-5 - 56/(-16)).
1648
Let v = -470 - -462. What is the common denominator of ((-428)/32 - -7)*2/v and 291/8*(-2)/(-6)?
32
Let r be ((-1111)/(-202))/(-1 + 3/2). Suppose 7*v + 20 = r*v. What is the least common multiple of 71 and v?
355
Let s(x) = x**2 - 25*x + 5. Let d be s(33). Suppose 7*k = d + 221. Calculate the lowest common multiple of 7 and k.
70
Calculate the common denominator of (-4)/(-42)*(-90)/(-35) and -6 + 8*(-91)/(-104) + 505/(-30).
294
Calculate the common denominator of -91/100 and 1468/(-5720) - 42/231.
1300
Find the common denominator of ((-3069)/372)/((-1)/6) and -97/2576.
2576
Find the common denominator of (-5)/(-165)*(83 + -1) and (1 - 150/(-27))*(5 + (-172)/32).
264
Let n(s) = s**3 + 12*s**2 + 25*s - 6. Suppose 2*h + 24 = 6. Let j be n(h). Let w = -3 + j. Calculate the least common multiple of 3 and w.
9
Let k(z) = -z**3 - 6*z**2 - 8*z - 3. Calculate the lowest common multiple of (-30)/390 + 1827/91 and k(-5).
60
Suppose 4*j - 340 = 2*u - 14, 2*u = 5*j - 406. What is the common denominator of 0 - 2*365/j and (-3)/(-27)*127/(-4)?
72
Let t = 19/814 - -19015/4884. Find the common denominator of t and 59/4 + 1/2.
12
Let n(f) be the third derivative of 0*f + 0 + 11*f**2 - 1/2*f**3 + 1/24*f**4. What is the smallest common multiple of 11 and n(4)?
11
Suppose 70 = 3*f + 2*f. Let y be 1523/13 - (5 - 189/39). Let m = y + -115. What is the least common multiple of f and m?
14
Suppose 19*v - 1753 = -188*v - 97. What is the lowest common multiple of 751 and v?
6008
Let x(h) = h**3 - 52*h**2 + 51*h + 4. Let d be x(51). Suppose 0 = 5*s - 5*k + 70, -k + 4 = -0. Calculate the smallest common multiple of (-12)/s + d/5 and 2.
2
Suppose 0 = -2*w + 3*j + 170, 114*w + 4*j - 184 = 112*w. What is the lowest common multiple of 22 and w?
88
Let g(w) = -4*w - 48. Let b be g(-17). What is the lowest common multiple of 4/(b + -8) + 752/12 and 24?
504
Suppose 3*d - 1749 = 4*t, -1695*t + 597 = d - 1694*t. What is the smallest common multiple of 27 and d?
5319
Let y = 276781 + -229728353/830. What is the common denominator of -97/2 and y?
830
Suppose 5*m - 18*a + 14*a + 532 = 0, 8 = -4*a. What is the common denominator of -53/12 and m/(-810) + (-2786)/1320?
132
Let s = -67061/88872 - 70/529. What is the common denominator of 31/4536 and s?
4536
Let t = -199691564/2051 + 97363. What is the common denominator of t and 51/98?
28714
Suppose 0 = w + 4, 3*g - 35 = -5*w + 434. What is the least common multiple of 3 and g?
489
Let s = -42693287132 - -2521892471216153/59070. Let i = s - 3/1969. What is the common denominator of i and -91/15?
30
Let j = 1505 - 1430. What is the least common multiple of j and 200?
600
Let i(k) = -2*k**3 - 324*k**2 + 315*k + 223. What is the lowest common multiple of i(-163) and 144?
2016
Let g(r) = -2*r**2 + 25*r + 45. Let b be g(14). Suppose -5*l - 3*h + 36 = 0, -2*l = 2*h - 19 + b. What is the least common multiple of 4 and l?
12
Let n = 9 + -12. What is the common denominator of 1/(-3) + (-277)/24 and 1*53/(-8) + n?
8
Calculate the smallest common multiple of 707 and 1/(1/(-5)) - (16 + -70).
4949
Find the common denominator of (6/162*3)/((-76)/80 - 5) and 71/476.
4284
Let m = -83 + 54. Suppose -15*x = -12*x + 93. Let l = m - x. Calculate the lowest common multiple of l and 18.
18
Suppose x - 24 = -3*h, -54 = -5*h - 3*x - 14. Suppose 5*w = 5*p - 70, -3*p + h*p - 56 = -2*w. Calculate the smallest common multiple of 20 and p.
60
Let j = 2999767/25763724 + 44/34079. Calculate the common denominator of -67/189 and j.
756
Let y = -1827755/42 + 43514. Find the common denominator of y and 996/432*2 - 10.
126
What is the smallest common multiple of (25/5 - 29)*(-1476)/108 and 8?
328
Let l = 143611585/1563 - 91882. Find the common denominator of l and 62/3.
1563
Let s = -592 + 317. What is the common denominator of -5/14 and (s/11)/((-294)/(-12))?
98
Calculate the common denominator of (-16)/(-80) - (2823/(-3960) + 7/21) and -55/3024.
33264
Let c = 34628 + -34556. Suppose -4*w + 40 = 2*s + 8, 4*s - 68 = -4*w. Calculate the lowest common multiple of c and s.
72
Let i = 65/111 + 821/999. Suppose 14*o - 7*o + 13685 = 0. Find the common denominator of i and 1/(-5) - (o/(-150) - 14).
270
Let x = -1119484319/1770 - -632477. What is the common denominator of x and 111/6490?
19470
Suppose -4*o + 76 = -2*g, -17*o + 21*o - 64 = 5*g. Let q be (51/9 + -1)*-3. Let d = o + q. What is the least common multiple of d and 1?
7
Let c = 2957/1110 + -48/37. Find the common denominator of -41/1935 and c.
3870
Let r(n) = 2009*n - 1. Let c be r(-2). Let w = c + 72305/18. What is the common denominator of (138/20)/(8/(-10)) and w?
72
Suppose -6*q - 131880 = -11*q. Let k be 7/(-3) - -2 - 23278/q. Let y = k + 1/628. Find the common denominator of -127/6 and y.
42
Let s(y) = -20*y - 92. Let k be s(-5). Find the common denominator of (k + 3220/(-536))*(-1)/3 and 17/10.
670
Let r = -9 + 23. Let l(v) = 10 + 2088*v**3 - 6*v**2 - 2089*v**3 + 8*v - 4 + 10. What is the least common multiple of r and l(-7)?
126
Suppose u + 1 = 3. Suppose 9*k = -18*k. Calculate the least common multiple of u and k - -6 - (-26 - -6).
26
Suppose 2*c - 2*h = 224, 7*c + 3*h - 366 = 4*c. Suppose 0*f + c = 3*f. What is the least common multiple of 24 and f?
312
Let w = -2047049/46 + 44503. What is the common denominator of -53/3 and w?
138
Let j(b) = b**3 + 8*b**2 - 194*b - 1730. Let o = -2 + 6. What is the lowest common multiple of o and j(-10)?
20
Let n = -32211/25 - -1289. Let x = -9175 + 137551/15. Calculate the common denominator of x and n.
75
Let c = 939320/180999 + 48/2873. Let g = c + -52/9. Find the common denominator of g and (6/32)/((-144)/6464).
84
Let r be (38/(-4) + 3)*(-3776)/(-544). Let k = 29227/612 + r. Calculate the common denominator of k and 49/164.
1476
Let t = -71/56 + 1399/336. Calculate the common denominator of -137/216 and t.
432
Let a(f) = f**2 - 4*f + 399. Let s be a(0). Suppose -s = -12*l + 357. Calculate the lowest common multiple of l and 5.
315
Let i be (-1 - 3/(-6))*0. Suppose 6*s + i = 36. Suppose 5*b = s + 34. What is the smallest common multiple of b and 24?
24
Let x be -36288 - (6 - 8)*-2. Let q = 1959887/54 + x. Find the common denominator of q and -99/20.
540
Let y = -5623 + 5655. Calculate the least common multiple of y and 800.
800
Let s = -54 + 66. Let v = -6761/138 + 34/69. Calculate the common denominator of (-9)/s*-2*62/48 and v.
16
Let l(p) be the first derivative of -p**3/3 - p**2 - 18*p - 11. Let o be l(0). Calculate the common denominator of 29/14 and 22/o - 3/2.
126
Let h(j) = -j**2 + 7*j + 10. Let f be h(7). Let c be f*18/30 - 1/1. Suppose 6 + 89 = c*t. What is the least common multiple of t and 3?
57
Suppose 4*i = -v - 11, -2*v - 6*i - 2 = -3*i. Suppose v*j = 2*j - 11424. Let a = 45659/12 + j. What is the common denominator of a and 19/20?
60
Suppose 24*t = -55 + 103. Find the common denominator of (-4)/10 - 17/8 and t + -11 + (-1428)/(-176).
440
Let s = -739224 - -1632206663/2208. What is the common denominator of s and 23/768?
17664
Calculate the common denominator of -13 - (-14)/(15960/15765) and -89/20.
380
Let a = 1/550 + 1593/1100. Let i = 1571/8 + -199. Calculate the common denominator of i and a.
40
Let w = 49/16 - 17/5. What is the common denominator of -1/80 and w?
80
Let m = 72 - 54. Suppose -m*g - 2 = -38. What is the least common multiple of g and 27?
54
Let k(n) = n**2 + 3*n - 14. Suppose 44*p = 46*p - 12. Calculate the smallest common multiple of k(p) and 1.
40
Let f = 11563 - 693