126 + -1312/21. Find the common denominator of 29/926 and q.
8334
Let c(p) = -6 + 53*p - 12 + 13. What is the smallest common multiple of c(1) and 14?
336
Suppose 5*c + 4*j = -1031 + 176, 0 = 2*j + 10. Let q = -149 - c. Calculate the lowest common multiple of 24 and q.
72
Let v(f) = -607*f**2 + 4*f - 1. Let p be v(-7). Let m = 1339814/45 + p. Calculate the common denominator of m and ((2620/16)/5)/((-3)/2).
90
Let r = 714 - 674. Suppose -3*a + r + 89 = 2*g, 0 = -3*g - 5*a + 191. What is the lowest common multiple of 32 and g?
288
Let k be 1/((10/4)/5). Suppose -k*c = -2424 - 288. What is the common denominator of 6/15 - c/(-160) and -19?
8
Let w = -9/1001 + 79259/20020. Let s(n) = n**2 - 4*n - 1. Let h be s(4). What is the common denominator of w and 279/6*h/90?
60
Let u(w) = -29*w + 550. What is the least common multiple of u(18) and 2144?
15008
Let f = -9151 - -256119/28. Calculate the common denominator of f and ((-25)/(-375)*-325)/((-32)/6).
112
Suppose -3*f + 6*f = 0. Suppose 4*o - 3*x = -4*x + 8, 3*o - 5*x - 29 = f. Suppose -6 - 9 = -o*i. Calculate the least common multiple of 10 and i.
10
What is the common denominator of -53/36 and 10/12*11937/252580?
5256
Let s = 13 - 3. Let r be 9/12 - (43022/(-8))/7. Let i = r + -767. What is the lowest common multiple of s and i?
10
Suppose 0 = 4*z - 35 - 61. Let k be 16/(-10)*(88 + -93). Suppose 11*h - z = k*h. What is the smallest common multiple of 3 and h?
24
What is the smallest common multiple of ((-1116)/(-126) - 14)/((-9)/84) and 20?
240
Let w be ((-1)/(3/303))/(-1). Let l = w - 63. Let f = -20 + l. Calculate the smallest common multiple of f and 22.
198
Let t(s) = -68*s - 80. Let m be t(-5). Suppose m = 26*r - 0*r. What is the smallest common multiple of r and 2?
10
Let g be (-150)/(-54) + 3*(-4)/(-54). Calculate the smallest common multiple of 50 and (0 + (-2)/g)/(218/(-4905)).
150
Suppose 1623 = 34*o - 29*o + 3*v, o + 5*v - 329 = 0. Let x = 344 - o. Calculate the least common multiple of 100 and x.
100
Let z = 405421/68140 - -3/17035. Calculate the common denominator of -22/25 and z.
100
Suppose -11*r + 6*r - 790 = 0. Let l = r - -173. What is the lowest common multiple of 9 and l?
45
Let q = -14/56403 + 11283554/11901033. Let v = -24107/5064 - q. What is the common denominator of v and 61/8?
24
Let y = -37342 - -39252. Calculate the lowest common multiple of 125 and y.
47750
Let w(q) = q**3 + 12*q**2 - 13*q - 6. Suppose 2*b - 33 = 5*b - 2*y, 2 = b - 5*y. Let c be w(b). What is the common denominator of -1/8 and (182/9)/(32/c - -4)?
24
Let v = -5192/83 + 4743155/75696. Find the common denominator of v and -59/120.
4560
Let w(o) = -o**3 - 24*o**2 + 110*o - 38. What is the smallest common multiple of 9 and w(-28)?
18
Let w = -436374867/1300 + 335673. What is the common denominator of 49/2080 and w?
10400
Let r be 81/6 + -8 + 3/(-2). Suppose 2*c = -b + 62, 0 = -r*c - b + 48 + 78. Calculate the smallest common multiple of c and 8.
32
Suppose 20*z = 5*x + 25*z + 20, -5*z = -3*x + 28. Calculate the lowest common multiple of 2689 and x.
2689
Suppose -6*n + 2*c = -3*n - 758, 0 = 5*n - c - 1261. Find the common denominator of (-4)/(-6) + (-230)/24 and -2*(-2 - (-1085)/n).
36
Suppose 5*v - 22 = g, 0 = -2*g - 6*v + 3*v + 21. Suppose g = 4*t - b + 2*b, 5*t + 3*b = -5. Calculate the common denominator of 49/10 and ((-3237)/60)/(-13)*t.
10
Let b = 9831/7 - 48574985/34587. Let g = b - -252011/49410. Find the common denominator of g and -3/10.
10
Let r = -45444/43 - -248126003/234780. Find the common denominator of r and 139/702.
49140
Let d(b) = -2*b**2 + 61*b + 129. What is the least common multiple of 132 and d(26)?
1452
Suppose -3*v = -12, -2 + 1 = -3*i + 2*v. Suppose 2*o = i + 3, 3*p + o = -6. What is the least common multiple of 9 and p + (4 + -1 - -18)?
18
Let d(u) = -6*u - 23. Let y be d(-7). Suppose -20*k + 13 = -y*k. Calculate the common denominator of k/10 + (-2)/((-20)/6) and -71/4.
20
Suppose 425 - 85 = 2*s. What is the lowest common multiple of 1717 and s?
17170
Let x = 1986787/48 - 41393. Find the common denominator of x and -121/3270.
26160
Let r = -93271/10 - -9316. Let c = -32258/3 - -1323031/123. Let g = c - 5331/902. Find the common denominator of r and g.
110
Let k(g) = g**3 + 14*g**2 - 4*g - 44. Let c be k(-14). Suppose 3*r - 52 = -2*f, 4*r - 3*f = 87 - c. What is the smallest common multiple of r and 177?
1062
What is the least common multiple of 20640/(-64)*2/(-15) and 26?
1118
Let c = -19567729/16718 - 47/16718. Let t = 823003/702 + c. What is the common denominator of 1/(-2)*(1855/20)/7 and t?
216
Let i(k) = 174*k - 36. Let b be i(-2). Find the common denominator of 4/4 - 22/(-64) and (-1)/(-6) - 680/b.
32
Calculate the common denominator of 51/70 and (-291 - 0 - 0)*9/(-324).
420
Suppose 24 = 5*u - l - 0*l, -2*u = -l - 12. Suppose 2*k - 62 = -3*s, -10 = -s - 3*k + 6. What is the least common multiple of s and 5/(u/(-8)*-1)?
110
Suppose -29*l = -2120 + 1424. Calculate the least common multiple of l and 244.
1464
Let w = 1825 - 1665. What is the lowest common multiple of w and 688?
6880
Let m = -129 + -216. Find the common denominator of 14/161 - 683/m and -53/50.
150
Suppose -6 = -30*k + 27*k. Suppose -3*c + 12 = 0, c - k*c - 12 = -d. Let u = 34 + 100. Calculate the smallest common multiple of d and u.
1072
Let v = 135 + -214. Let u = -37 - v. Let s(c) = -c**3 - 5*c**2 + 21*c - 20. What is the smallest common multiple of s(-8) and u?
84
Let n = 915/14 - 2473/35. Calculate the common denominator of n and 177/246*1/2.
820
Let m = -587 - -1137. Calculate the smallest common multiple of 70 and m.
3850
Suppose -5*x - 485 = 2*t, 5*t - 5*x + 1265 = -0*x. Find the common denominator of 22/5 and (-4)/(-12) - (t/(-1155) - 0).
385
Let d = -4901 + 4904. What is the least common multiple of 861 and d?
861
Let r(o) = -8264*o**3 + 2*o**2 + 32*o + 32. What is the smallest common multiple of 16 and r(-1)?
66128
Suppose 2*n = -2*n + 88. Let b(p) = -17*p + 162. Let u be 116/12 - 1*2/3. What is the least common multiple of b(u) and n?
198
Suppose 3*j = 6*q - 4*q - 30, -3*j - 54 = -4*q. What is the smallest common multiple of q*((-9)/2 + 5)*6 and 32?
288
Let a = -16717/1644 + 1/548. Let c be 0 - (1223/(-74) + 2). Let s = -38/37 + c. Find the common denominator of a and s.
6
Let q = -534/65 + 10837/520. What is the common denominator of 0 - 2 - 178/(-80) and q?
40
Suppose 564 = 8*l - 780. Let z = 201 - l. What is the smallest common multiple of 12 and z?
132
Let v be (-258)/(-4)*(-11 + 341/33). What is the common denominator of ((-49)/(-234) - 0)/(v/43) and -65/4?
468
Let n = -117 + -72. Let s = n - -207. Calculate the lowest common multiple of 18 and s.
18
What is the least common multiple of ((-29)/87)/(2/(-12)) and 1059?
2118
What is the common denominator of 61/784 and ((-8)/192)/((-42)/2248) - (-12 + 14)?
7056
Let y = 18447/8 - 2313. Let h be (-3284)/(-36) - ((-20)/18)/(-5). Suppose -9*a + 16*a - h = 0. Find the common denominator of y and a.
8
Suppose -21*f = -22*f + 12. What is the least common multiple of f and 120?
120
Let s = 41191 + -4077875/99. What is the common denominator of 113/30 and s?
990
Let k = -48 + 57. Let f(b) = -6*b - 2. Let s be f(k). Find the common denominator of 15 - 11 - s/(-23) and -50/9.
207
Let k = 54 + -43. Let g(s) = s - 8. Let u be g(k). Suppose -u*n + 41 = -22. What is the least common multiple of 12 and n?
84
Suppose -914*y + 16267 = -93*y - 30530. What is the smallest common multiple of 219 and y?
4161
Let v(g) be the second derivative of -g**3/3 + 3*g**2 + 2*g - 648. Let i = 20 - 28. What is the lowest common multiple of 98 and v(i)?
1078
Let p(u) = -39*u - 236. Let k be p(11). Let l = -661 - k. Calculate the least common multiple of 13 and l.
52
Let c be (-380)/(-9) - (-72)/(-324). Suppose 3*q = 12 + c. What is the lowest common multiple of 21 and q?
126
Suppose -4 = -10*l - 4. Suppose l = -9*f + 2*f + 840. Calculate the least common multiple of 150 and f.
600
Let p(q) = 0*q + 15*q - 9 - 10*q**2 + 136*q**3 - 135*q**3. Let k be p(8). Let r = k + 24. Calculate the least common multiple of r and 15.
105
Find the common denominator of -53/2356 and ((-5)/16)/(8/((-10336)/(-57))).
7068
Suppose -10*u + 8 - 38 = 0. What is the common denominator of 46/(-36) + (-2