. Let u be (-6 - 612/(-5))/((-1)/(-5)). Suppose 5*z + 3*k = u, -4*z + z + 330 = -3*k. What is the lowest common multiple of i and z?
1140
Let h = -117 - -121. What is the least common multiple of -5 + h + 16 + 3 and 30?
90
Let f = -9071327/473286 + 2/78881. Find the common denominator of f and (-1 + 2)/(218/34).
654
Let r(w) = -13532*w**2 + 6*w - 2. Let o be r(2). Let b = 36079938299/42 + -858992029. Let j = b + o. Find the common denominator of 53/33 and j.
462
Suppose 15 = -3*h - 3*p, 0 = 3*h - 4*h - 5*p - 13. Let r = 1448 - 1450. Calculate the common denominator of -49/20 and (h/(270/34))/(r/3).
60
Suppose 5*y - 2*g - 44 = -0*y, 4*y - g - 34 = 0. Let m be -2*((-28)/y - -3). Let z = m + 20. Calculate the least common multiple of z and 21.
21
Let h be 76/40*(-2 + 54/15). Let q = h - 57/50. What is the common denominator of q and -17/75?
150
Let n = 1563 - 2898. Let q be (n/(-2))/(-3) + 1. Let a = 969/4 + q. Find the common denominator of a and 29/71.
284
Let d = -140292 + 49382825/352. What is the common denominator of d and -47/896?
9856
Let d = -16 + 25. Suppose h - 296 = -148*a + 145*a, 4*a - 404 = 8*h. Calculate the smallest common multiple of a and d.
99
Let n(d) = -5*d**3 - 8*d**2 + 29*d + 17. What is the smallest common multiple of n(-6) and 175?
22225
Suppose 149*a - 144*a - 50 = -4*j, 2*j - 2*a = -2. Calculate the least common multiple of j and 4060.
4060
Let b = -168 - -829/5. Let g be (15/2)/(11/33). Let n = g + -64/3. Calculate the common denominator of n and b.
30
Let j be ((-905)/12)/((-56)/84). Let d be 2490/(-24) - (-1 - 0). Let t = d + j. Find the common denominator of t and -1/12.
24
Let h = -2199 + 2282. Calculate the lowest common multiple of 166 and h.
166
Let s = -17153 + 1234997/72. What is the common denominator of 49/928 and s?
8352
Suppose -k - k - g = -1564, 4*g + 2335 = 3*k. Let r be (k/22)/(58/8). Let v = 2319/290 - r. What is the common denominator of v and -40/9?
90
Let l(t) = -t + 1. Let u(f) = -13*f - 31. Let i(c) = -3*l(c) + u(c). Let k be i(-4). Suppose 60 - k = 3*z. What is the least common multiple of z and 12?
36
Let k be (-3434)/(-2580) - (12 - 11). Let r = k + -30/43. Calculate the common denominator of -54/55 and r.
330
Let x be (1/(-35))/(20/(-826)). Let b = x + -1197/400. Let f = -5654 - -34033/6. Calculate the common denominator of b and f.
48
Let o = 120 + -118. Calculate the common denominator of (-710)/30 + 3/o and 73/4.
12
Let y = 155718 + -40798213/262. Find the common denominator of y and 55/2.
262
Let u = 64 + -57. Let b be u - 6 - (-4 + 0). What is the common denominator of -7 + b - 10/(-12) and 77/18?
18
Suppose -73 - 130 = 29*s. Let p(t) = -t**2 + 7*t + 8. What is the lowest common multiple of p(6) and s + (-4 + -35)/(-3)?
42
Suppose 8 - 2 = c. Let w be 64785/129610 + c/4 + -2. Let i = w - 972067/51844. What is the common denominator of i and -9/14?
28
Let t = -4724 + 935243/198. Calculate the common denominator of t and 55/72.
792
Let w(k) = 2*k - 54. Let c be w(20). Let r = c + 13. Find the common denominator of (r/(-2) - (-1305)/(-210)) + 1 and 42/5.
35
Suppose 0*c - 7*c + 8*c = 0. Suppose c = 3*s + 3*o, 1 + 0 = o. What is the common denominator of s/(-11)*(-51)/(-6) and 151/294?
3234
Suppose -1 = 35*h - 34*h. Calculate the common denominator of (2/(-12))/((-20)/945*h) and (20/6)/(-5) - -25.
24
Let j = -1/108965 - -17107571/7191690. Calculate the common denominator of j and -109/1590.
17490
Let o(l) = -2*l**3 - 10*l**2 + 2*l + 12. Let h be o(-5). What is the common denominator of 1 + ((-309)/(-90) - 2) and 2 + (-137)/(-18) - h?
90
Let b = 7/34735 + 3900989/119418930. Calculate the common denominator of b and 50/9.
3438
What is the common denominator of (-29)/12 + 152/(-380) - -1 and -119/800?
2400
Let b = -2998 + 44983/15. What is the common denominator of b and 38/85?
255
Let j = 167291/40470 - 1/2698. Find the common denominator of j and 2*(9 + (-34)/(-16)).
60
Suppose -36 = -3*u - 9. Suppose -5*m = 3*w - 395, -46*w - 715 = -51*w + 3*m. Calculate the least common multiple of u and w.
1260
Let i = 60093/16 + -3756. Calculate the common denominator of -97/9350 and i.
74800
Suppose -4*f - 122622 = 2*i, f + 30678 = -2*i + 6*i. Let o be (-189)/(-39) + -5 - f/(-2964). Let d = o - 2/741. What is the common denominator of d and 133/12?
12
Let h = -23222 + 11773477/507. Calculate the common denominator of h and 11/3.
507
Suppose 4*z = 5*v + 2, 2*v = z - 0*z + 1. Let j(u) = -28*u - 10. Let t be j(-10). Calculate the common denominator of z - (1424/t + (-12)/60) and -61/6.
54
Let n = 33 + -23. Suppose -204*h + 209*h - 885 = 0. Let a = h - 173. Calculate the lowest common multiple of a and n.
20
Let q = -128816 - -89401. Let l = q - -4848107/123. What is the common denominator of -59/8 and l?
984
Suppose 39826 = 5*o + 2*r, o + 0*r - r = 7968. Let p be 4/30 + o/105. Let l = p - 74. What is the lowest common multiple of l and 2?
2
Suppose 4*u - 61 - 54 = 3*i, -2*u - 2*i = -54. Suppose 4*h = 4, n - h + 4*h - 23 = 0. Suppose n*k = -2*k + 176. Calculate the least common multiple of u and k.
56
Suppose t + 2*z - 28 = -10, -2 = t - 2*z. Find the common denominator of ((-3)/t)/(2/92) and 81/208.
208
Suppose -3*y - 40 = -8*y. Suppose -x = -0*x - 0*x. Suppose 5*d + 3*t - 59 = x, -15 = d - 4*d + 5*t. Calculate the least common multiple of y and d.
40
Suppose -112*h - 3283 = -r - 109*h, -16485 = -5*r + h. What is the lowest common multiple of r and 6?
9894
Suppose 8*z - 94 = -2*b + 7*z, -3*b = -z - 131. Suppose -b*j + 72 = -36*j. Calculate the least common multiple of j and 19.
152
Let t(y) = -y**2 + 22*y + 3183. Calculate the least common multiple of 1955 and t(-46).
21505
Calculate the common denominator of -79/72 and ((-14)/(-24)*220/9394)/(20/(-285)).
4392
Let q = 59 + -55. Suppose 0 = -q*b + 3*b + 1587. Let f = 28585/18 - b. Calculate the common denominator of f and -23/3.
18
Let r = -1 + 56. Suppose 19*f = 24*f - r. Suppose -q + 2*g + 38 = 0, 13*q + g = f*q + 51. What is the smallest common multiple of q and 8?
56
Let u = -6390 + 6400. What is the smallest common multiple of u and 197?
1970
Let z(q) = -3*q**3 + 20*q**2 - 13*q + 9. Let m be z(6). Calculate the common denominator of (114 + (m - -2))/(-6) and (-233)/(-30) + (-6)/10.
6
Find the common denominator of 49/288 and -10*18/64 + (-1512)/(-189).
288
Let f be 7562*88/(-192) - (-1)/(-2). Let y = 3479 + f. Calculate the common denominator of 73/38 and y.
228
Let t be (-149)/(-4) - (1 - 0). Let w = t + -869/20. Find the common denominator of w and -33/73.
365
Let s(x) = x**2 + 4*x - 7. Let y be s(-6). Suppose -y*g = -8*g + 24. Suppose -3*k = c - 58, 3438 = c + k + 3416. Calculate the least common multiple of g and c.
8
What is the common denominator of 3/970 and 3/(((-7)/(-21))/(115/(-30)))?
970
Suppose -205 = -b - 0*b. Let v = -298913/18 - -16598. What is the common denominator of (1/(-2))/(20/b) and v?
72
Let s(q) = q**2 + 7*q + 1. Let r be s(-7). Let i be (-20)/(-16) - (3/(-4) + r). Find the common denominator of 123/10 and 0/i + 2 + (-194)/8.
20
Let w = 30/313 - -22609/2504. Calculate the common denominator of w and 14/17 + 1161/2322.
136
Suppose 1002 = -26*f + 222. What is the common denominator of 17/(-16) - f/40 and (-168)/128*(-28)/(-6)?
16
What is the common denominator of 212/6*234/21216 and 55/102?
408
Let p = -248387 + 172877413/696. Calculate the common denominator of p and -71/76.
13224
Let r(g) = -g**2 + 4*g + 108. Suppose 5*x + 10 = -2*w, 3*w + 4*x = -0*x - 8. Calculate the smallest common multiple of r(w) and 132.
1188
Calculate the lowest common multiple of 5688 and 70/12*2760/1150.
39816
Let g = -66495 + 23938183/360. Calculate the common denominator of 13/540 and g.
1080
Let i = 30/589 + 42577/8246. Calculate the common denominator of 27/8911 and i.
17822
Let q = 276 - 157. Let x = 129 - q. Suppose -4*u + 18 = -x. Calculate the lowest common multiple of u and 9.
63
Suppose -23*i - 23608 = 3*i. Let u = 1480 + i. What is the lowest common multiple of u and 10?
2860
Let c(t) = 48*t**2 - 5*t + 4. Let a(y) = -y. Let r(i) = -3*a(i) + c(i). Let g be (0 - -1)/(5/10). What is the least common multiple of 12 and r(g)?
192
Calculate the least common multiple of 1520 and ((-60)/14)/((-273)/35672).
10640
Let o(b) = -5*b - 20. Let r(c) = -2