Let f = -9776595/4 + 2444146. Suppose -2*d - d + h = 8, -5*h = 3*d - 22. Calculate the common denominator of f and (d - -1) + 110/(-168).
84
Let i(d) = -d**2 - 10*d + 13. Let r be i(-11). Find the common denominator of -25/12 and (-736)/1280 + r + 2 + -2.
120
Suppose -5*v + 74 = -1. Let s be 1842/30 + (-3)/v*2. Let j = s - 51. Calculate the least common multiple of j and 10.
10
Let g = -4600/11 + 14108/33. Calculate the common denominator of g and -10*(1 - 53/65).
39
Let c(j) = -5*j**2 + 21*j + 6. Let n = -92 - -96. Calculate the least common multiple of 18 and c(n).
90
Let r be -3 + (-178)/(-144)*35438. Let o = r + -43799. What is the common denominator of -23/84 and o?
252
Let w = 321567/20 - 16083. Suppose 3*z = 6, 12*z - 27905 = 3*t + 17*z. Let c = t - -111755/12. Find the common denominator of w and c.
60
Let p be 1 + (-9)/15 + 36/10. Suppose 4*a - 65 = -5*x, p*x - 48 = -5*a + a. What is the common denominator of x*((-6)/(-3))/(-4) and 77/8?
8
Let v(h) = h**2 - 8*h + 3. Let u = -92 + 96. Suppose 3*p - 7*p + 58 = 3*s, p - u*s = 24. What is the least common multiple of v(9) and p?
48
Let y = -1/53238 - 878287/7453320. What is the common denominator of y and 1 - (-2 - 70/(-72))?
2520
Suppose 3*f + 10 = -5*m + 46, -f = 5*m - 12. What is the common denominator of 6/8 + (-155)/f and (-220)/12 - 4/(-24)?
6
Let a(y) = -2*y**3 - 5*y**2 + 3*y + 4. Let o = 237602 + -237562. Calculate the smallest common multiple of a(-4) and o.
40
Let n(d) = d**3 - 5*d**2 + 4*d + 16. Let p be n(3). Suppose 2*t = -p, -2*a - 7 = -3*a - 2*t. Calculate the least common multiple of a and 7.
119
Let q(z) = z - 7. Let f be q(8). Let g = 24/911 + 38693/18220. Calculate the common denominator of (f*2)/((-200)/(-830)) and g.
20
Let h be 16/6*27/24*4. Suppose -h*m = -0*m - 36. Calculate the smallest common multiple of m and 24.
24
Let k = -13718843/278 + 49348. What is the common denominator of k and 71/1112?
1112
Let l = 1/126991 + 885267/466056970. Calculate the common denominator of -99/2 and l.
3670
Let j(k) = 2*k - 9. Let h(q) = -q**2 + 11*q - 13. Let i be h(9). Suppose i*b - 46 - 104 = 0. Calculate the lowest common multiple of b and j(5).
30
Suppose -5*l - j = -726, 4*l - 485 - 97 = -j. Calculate the smallest common multiple of 1680 and l.
5040
Let z = 698/29 + -59098/2465. Calculate the common denominator of 25/4403 and z.
22015
Let s(o) = o - 4. Calculate the lowest common multiple of (1 - 236/6)*(-8325)/13875 and s(6).
46
Let x = 29510 - 25688. Calculate the smallest common multiple of x and 30.
19110
Suppose -3*t + 4*k + 156 = 0, -3*t - 4*k = k - 183. What is the common denominator of 97/12 and (-231)/49 + 5 + (-758)/t?
12
What is the common denominator of 43/384 and 601/(-132) - 448/1232?
384
Suppose 5*w = -z - 4*z - 65, 92 = -5*w + 4*z. Let s(u) = u**2 + 31*u + 265. Calculate the lowest common multiple of (-3)/1*(w + 6) and s(-17).
270
Let d = 2407 + -1453. What is the smallest common multiple of d and 318?
954
Let j = 237 + -312. Let d = 189 + j. What is the least common multiple of d and 30?
570
Let j(h) = h - 2*h - 15*h**3 + h**2 - 1 + 0*h**2. Let o = -137868 + 137884. Calculate the lowest common multiple of o and j(-1).
16
Let k(b) = 11*b - 7. Let t be k(-6). Let o = -148 - t. What is the common denominator of -49/8 and 45/o - (-58)/(-20)?
8
Let h be (3 - -15)/(4/(-2)). Find the common denominator of (26/18 + 0)/(70/(-120)) and (-278)/8*((-39)/h - 5).
42
Let d(y) = y**3 + 7*y**2 - 7*y - 7. Let w be d(-7). Let h = 1318 - 1353. Let q = w + h. What is the lowest common multiple of 8 and q?
56
Let n(r) = -r**2 - 28*r + 21. Let x be n(-12). Suppose -18*z + 327 = -x. What is the lowest common multiple of 90 and z?
90
Suppose 0 = -4*c - t + 335, -4*c + 2*c + 3*t + 185 = 0. Let s = -73 + c. What is the smallest common multiple of s and 4?
12
Let q = -229 - -239. Calculate the common denominator of ((-4)/q)/(45/435) and 53/25.
75
Suppose 81*h - 4348 = 11087 + 5706. What is the least common multiple of h and 319?
2871
Suppose 0 = -j + r + 16 - 15, -2*r = -3*j + 5. Suppose 82 = 4*c + j*m - 139, 5*m - 163 = -3*c. What is the smallest common multiple of 88 and c?
616
Let t(k) = -26*k + 140. Let u be t(-25). Suppose -260 = -15*m + u. Calculate the lowest common multiple of 140 and m.
140
Suppose 14*w + 41514 - 1866 = 0. Let x = 237935/84 + w. What is the common denominator of x and 85/8?
168
Suppose 8*m = 29*m - 5502. What is the common denominator of -75/64 and 76/114*m/48?
576
Let d = 92180/32697 + -16/3633. Suppose 0 = -3*i - 17493 - 1458. Let t = i + 113647/18. Find the common denominator of t and d.
54
Find the common denominator of 57/40 and 425/1190*(-72)/(-50).
280
Find the common denominator of -127/140 and (-2138)/1260 + (-39)/130*-5.
1260
Let r = -162 - -458. Suppose 36*j = 34*j + 32. Suppose -5*u + 2*f = -j, -2 = 6*u - 7*u + f. Calculate the smallest common multiple of r and u.
296
Suppose 5*b - o = 38, 3*b - 8*b - 3*o = -26. Suppose -1 = w + 2*z + 6, 0 = 2*w - z + 9. Let u = b - w. Calculate the least common multiple of 2 and u.
12
Suppose 87*p - 79*p = 104. Suppose p*l - 3 = 777. What is the lowest common multiple of l and 6?
60
Let z be (-9 - -10) + 47/(-1). Let n = z - -84. Let m = 857 - 853. What is the least common multiple of n and m?
76
Let i = -82065458549/330 + 248683478. Let w be (-160)/32 + (-2925)/11. Let s = i + w. Find the common denominator of -1/18 and s.
90
Let f(x) = x**2 - 22*x + 16. Let n be f(21). What is the common denominator of -39/7 and (2 - 0) + 3 + 63/n?
35
Suppose 3*y + 120 = u, -2*u + 3*y - 555 = -6*u. Calculate the common denominator of -37/20 and (1962/u)/((-16)/3).
40
Let w = 23080 + -20364. What is the smallest common multiple of 1067 and w?
29876
Let i be 64/14 - (-6)/(-84)*-6. Suppose 5*u = -i*t + 110, -5*u + 0*t + 106 = 4*t. Calculate the smallest common multiple of u and 8/12 + (-14)/(-6).
18
Let u be -5*2/(-10) + (-48)/1. Let t = -41 - u. Calculate the smallest common multiple of 153 and t.
306
Let s = -4913 + 29395/6. Find the common denominator of (-44)/(-54)*9 - (-2491)/(-106) and s.
6
Let x = -11681 + 11683. What is the smallest common multiple of 142 and x?
142
Let a(j) = j**3 + 10*j**2 - 21*j + 39. Suppose 3*n + 8*z - 4*z = -36, 5*n - 2*z + 60 = 0. What is the lowest common multiple of a(n) and 27?
27
What is the common denominator of -23/30 and ((-77)/(-154))/(6/(-20))?
30
Let x = 56812 - 3976719/70. Let t = -38389 - -2418421/63. What is the common denominator of x and t?
630
Let s = -211 + 240. Suppose -7 = 2*i - s. What is the lowest common multiple of i and 1?
11
Suppose 23*f + 10165 = -3405. Let x = f - -610. Let n = 63 + -38. What is the smallest common multiple of x and n?
100
Let r = -1451017/55 + 26381. Let u = 22131/25 + -8877/10. Find the common denominator of u and r.
550
Let x be (-6)/(-4)*84/(-78057). Let y = 115211/9912 - x. What is the common denominator of -115/28 and y?
56
Let c(o) = 17*o**2 - 2*o + 1. Let u(t) = -t + 18*t + 154 - 4*t + 18*t. Calculate the least common multiple of c(1) and u(-4).
240
Let z = -204489/70 - -2921. Calculate the common denominator of z and 74/105.
210
Suppose 5*u = 4*c + 25, -2*u + 5*c - c = -10. Suppose -17 = -2*m - o, 9*o = -5*m + u*o + 41. Calculate the least common multiple of 11 and m.
99
Let m = 73 - 41. Let o = 574463 - 574456. What is the smallest common multiple of o and m?
224
Let n = -2927/2115 - -38/235. What is the common denominator of n and -27/2?
18
Let h = -11795 - -14670. Calculate the smallest common multiple of 575 and h.
2875
Let v = 31909/56144760 - 1/30040. Let f = v + 4355/11214. Find the common denominator of f and ((-16744)/(-64))/13 + (-8 - (5 - 0)).
72
Suppose 0 = 25*m + 11123 - 11573. Calculate the lowest common multiple of 6152 and m.
55368
Calculate the common denominator of 2/9 - 194*(-2093)/(-1747080) and -65/422.
4220
What is the common denominator of ((-194)/(-16) - (-24)/(-42)) + 45/(-105) and (2/8)/(70/(-174))?
280
Let r be 2/(-15) - (-4192)/(-60). Find the common denominator of (2/r)/(156/(-8099)) and ((-1)/4*2)/(24/(-460)).
60
Let x be (-4)/(-6) + (-70565)/(-10). Let y = x - 7075. What is the common denominator of y and 33/8?
24
Suppose -190*n + f - 19 = -192*n, 2*f + 26 = 4*n. What is the least common multiple of 1692 and n?
3