.
56
Calculate the common denominator of 0 - (1078/156)/11 and -6 - 296/160 - 2/8.
390
Let f(b) = -34*b**2 + 14*b - 505. Let d be f(13). Let u = -3/744572 + 67714356013/11168580. Let h = d + u. What is the common denominator of h and -41/33?
165
Let u(i) = i**2 - 31*i - 74. Let v be u(39). Find the common denominator of 403/v + 38/(-7) + 5 and -2 - (-1 + (-130)/(-4)).
34
Let r be 6*(-4 - (-43)/3). Let n = r + -50. Calculate the smallest common multiple of n and 2.
12
Suppose 2*w = -5*p + 90678, 1238*p = 1233*p - 4*w + 90686. Calculate the lowest common multiple of p and 10.
90670
Let c(q) = 2*q**2 + q + 1. Let w(s) = s**3 - 14*s**2 - 13*s + 13. Let f(g) = 3*c(g) + w(g). Calculate the lowest common multiple of 5/20 + 70/8 and f(9).
63
Suppose 0 = -3*a - 5*z - 597, 0 = a - 3*z + 246 - 33. Let y = a + 254. What is the least common multiple of y and (8/2)/(2*1)?
50
Let z be (-3)/15*5 + 2*2. Suppose -1 = x + 2*o, 0 = z*x + 4*o + 1 - 8. What is the least common multiple of 12 and x?
36
Let y(l) = 7*l**2 + 11*l + 1. Let m be y(-2). Let u(b) = b**3 - 9*b**2 + 17*b - 7. What is the smallest common multiple of u(m) and 7?
14
Let c be 4/6 + (0 - (-52)/(-6)). Let l be 2/3*12/c*-4. Find the common denominator of (70/l)/(5 + (-126)/12) and 119/18.
198
Suppose 2379 = 2211*t - 2150*t. What is the least common multiple of t and 2067?
2067
Suppose 2*d = -2*y, 7*d - 2*d + 30 = 5*y. Suppose -y*u = 3*z - 24, -3*u + 23 = 3*z + u. What is the least common multiple of 63 and z?
63
Let q = -18 - -492. Suppose -8*x + d - 10 = -78, 3*x - 20 = -d. What is the smallest common multiple of q and x?
1896
Suppose 2*x + 2*v = 0, -2*x + 2*v + 3*v = -14. Calculate the common denominator of -181/30 and x/(-9)*828/(-504).
630
Suppose 4*y - 56 = 3*y. What is the least common multiple of 31 + 42 + -6 + -3 and y?
448
Find the common denominator of -53/17 and 76772/13920 + -6 - (-26)/52.
59160
Let k = 6450763/70 - 92152. What is the common denominator of -8/2177 and k?
21770
Let j = -2044615/72 + 28398. Calculate the common denominator of -31/45 and j.
360
Suppose -114*v = -417*v + 27338 + 42958. What is the least common multiple of 32 and v?
928
Suppose -25*a + 9*a = 8*a - 4560. Calculate the smallest common multiple of a and 114.
570
Suppose 9985 = 4*f - 5*h, -5*f = 2*h - 12587 + 81. Calculate the lowest common multiple of f and 3000.
15000
Suppose 10 = -5*i, 32 = 3*l + 2*i - 0. Find the common denominator of -37/5 and 142/(-20) - (l + -17).
10
Let j = -9895 - -10665. Calculate the smallest common multiple of 770 and j.
770
Let c(f) be the first derivative of -1/2*f**2 - 9*f - 9. Calculate the least common multiple of c(-18) and 5.
45
Let y be (-2)/8 - (-412940)/400. Let w = y - 1039. Calculate the common denominator of -117/10 and w.
10
Let w(p) = p + 4. Let l = 10 - 7. Suppose 5*u = -l + 3. Calculate the lowest common multiple of 6 and w(u).
12
Suppose 7*w - w + 186 = 0. Let j = 41 + w. Suppose 340 = 3*y + 2*y. What is the lowest common multiple of j and y?
340
Let i = 105767156/8941125 + -2496/211. Let u = i + -3601499/3983250. Let b = -6114 - -36805/6. Find the common denominator of b and u.
282
Let l = -814 + 3275/4. Let z = -6674/15 + 448. Let y = z - 379/60. Calculate the common denominator of y and l.
4
Let b = -492 - -512. Calculate the smallest common multiple of b and 45.
180
Let t = 96691/6 - 15548. Let s = -572 + t. What is the common denominator of s and 41/36?
36
Let x = 57377/4716 - -1/4716. Let m = -47 - -13. What is the common denominator of m + (-2 - (-3)/2) and x?
6
Let o(h) = -22*h + 277. Suppose 0 = -7*z - 0 + 42. Calculate the smallest common multiple of 55 and o(z).
1595
Let h(s) = 2*s - 1. Suppose -18*a = -2*a + 69696. Let w = a + 47959/11. What is the common denominator of h(-12) and w?
11
What is the common denominator of (-3)/(-2)*2132/177120 and -59/360?
720
Suppose 4*o + 3 = 7. Suppose -88*g - 168 = -46*g. Calculate the common denominator of (-17511)/(-2964) - (o - g) and -1/12.
228
Let v be ((-20)/14 - 3/(-7)) + 3. Suppose v*a - 86 = -4*k, 3*k = 7*k + 4*a - 84. Calculate the lowest common multiple of k and 108.
1188
Let b = -243/23 + 6623/690. What is the common denominator of 38/24*(5/4)/5 and b?
240
Let h(l) = -2 - 5*l**2 + 8*l**2 - 2*l + 2*l**3 - 2 - l. Let a be h(-6). Calculate the common denominator of -1/16 and 2 + 16/(-6) - a/40.
48
Let k be (-5 + 5 + -3)/((-3)/98). Suppose 3*t - 5*t + 2*b + k = 0, 0 = 3*t - b - 145. Calculate the common denominator of -5/9 and (2*41/10)/(t/20).
36
Let h = 4694201/958 + -4900. Let c = -26347/1916 + h. What is the common denominator of c and 16/51?
204
Let o(c) = -594*c - 27. Let d be o(3). Calculate the common denominator of 23/30 and 17883/d + 7 + 3.
2010
Suppose -48*f = -17 + 305. What is the common denominator of 8/69 and f/((-72)/(-92))*(-1 + 3)?
69
What is the common denominator of -99/4816 and 72*(-11)/(-132) + 2/6?
14448
Let g(o) = -11*o**2 - 4. Let s(u) = -u - 5. Let a be s(-12). Suppose -t = -2*c - a, -15 = -3*t - 6. Find the common denominator of g(c) and 1.
1
Suppose -46 - 66 = -2*l. Suppose -14*g - 17*g = -35*g, g = -5*h + 200. What is the lowest common multiple of h and l?
280
Let g be 15/(-6) + 2849/749. Let h = g + -2/535. Find the common denominator of 7 and h.
10
Let a be 0 + ((-24992387)/756 - 7). Let t = a - -33066. Find the common denominator of t and 41/12.
108
Calculate the common denominator of (700/182)/(-1 + 37 + 2) and -18/133.
1729
Let f = -18 - -29. Let s = -3 + -1. What is the common denominator of 87/22 and 3*(f/12 - s)?
44
Let l(b) = b + 47. Let p be l(4). Suppose 0 = -10*c + 459 + p. Calculate the lowest common multiple of 54 and c.
918
Suppose 562*n - 2*f + 3898 = 566*n, -n - f + 977 = 0. Calculate the least common multiple of n and 6.
972
What is the common denominator of 35/972 and ((-239)/216 - -1)*-5*2?
972
Suppose 4*v - 95 = 3*v - 81. Let w(l) = -l + 1. Calculate the least common multiple of v and w(-4).
70
Let v(h) = -h**3 + 39*h**2 + 138*h + 404. What is the smallest common multiple of v(41) and 54?
2700
Let j = 115 - 112. Suppose 2*x - 3*x + 4*h + 10 = 0, 2*x = -3*h + 9. Let a = 0 + x. Calculate the lowest common multiple of j and a.
6
Let i = 325 - 267. Let l = i - 52. Calculate the least common multiple of l and 404.
1212
Suppose 44*x - 50*x + 1104 = 0. Let p = -112 + x. Let d = p + -62. What is the lowest common multiple of d and 4?
20
Suppose -4 = 6*v - 7*v. Calculate the common denominator of 2035/1150 + 1/(-10)*v and 149/6.
138
Let y = 202 - 385. Let k = y + 238. What is the least common multiple of k and 75?
825
Let a = 5690/9 - 11231/18. Let n be 43/6 + -8 + 371/42. Find the common denominator of (17 + -65)/((-126)/n) and a.
126
Suppose 125*f - 140*f + 20 = -115. Calculate the smallest common multiple of f and 150.
450
Let o = 133948572107/110 + -1217705134. Let g = o - 9158. What is the common denominator of -35/3 and g?
330
Let z(d) = -88*d + 1591. Let p(g) = -2*g**3 + 2*g**2 - 4. What is the smallest common multiple of z(18) and p(-4)?
1092
Let d(q) = 576*q + 369. Let f(s) = 36*s + 23. Let w(y) = -4*d(y) + 63*f(y). Let z be w(-6). What is the common denominator of 97/16 and (-1)/3*z/(-36)?
16
Let b = 55169/16 + -3445. What is the common denominator of b and 37/6?
48
Calculate the lowest common multiple of 198 and (4 + -12)/(6/5)*15264/(-265).
12672
Let v(z) = 22*z - 91. Suppose -3 = -r - 2*q, -r + 0*q = 5*q + 3. What is the least common multiple of 70 and v(r)?
630
Let w = -1/2047 - -75750/22517. Find the common denominator of w and 19/264.
264
Let w = -13196243/110 + 119965. Find the common denominator of 3/2900 and w.
31900
Let l = 7100/2871 + -4807885/1929312. Calculate the common denominator of l and 95/24.
6048
Calculate the lowest common multiple of ((-147)/6)/((-2025)/288 - -7) and 84.
2352
Let v(w) = 24*w**3 + 5*w - 29. Let k be v(3). Calculate the common denominator of -1/32 and k/240 - 24/(-64).
480
Let v(m) = 19*m + 90. Let h be v(-5). Calculate the common denominator of ((-68)/(-36))/(1/12) and 4 - 46/(-20) - h.
30
Let g = -22484859/208 - -108100. What is the common denominator of g and -109/112?
1456
Let h = 121055245/1956 + -185668/3. What is the common denominator of h and -41/22?
7172
Let m(i) = i**3 + 14*i**2 - 5*i + 5. Let a be m(-10). Ca