 1. Let b(q) = -7*q**2 - 19*q + 26. Let f(c) = b(c) - 6*s(c). Calculate the least common multiple of 64 and f(-25).
320
Suppose 2*v - 79 - 21 = -4*o, -5*v - 3*o = -222. What is the least common multiple of 16/552 + 84175/2553 and v?
462
Suppose 0 = -45*s - 12*s + 21888. Calculate the lowest common multiple of 96 and s.
384
Let q be 0 + (-30)/26 + (-2)/(-13). Let f be (12/8)/(q/(-30)). Suppose u + 11 = 3*u + 3*t, -3*u = -5*t - f. What is the smallest common multiple of u and 6?
30
Let b be (4 + 16)/(-5) + 6. Let k be (b - (-14)/(-4))*(2 - -2). Calculate the common denominator of -3*2/k*(-34)/(-30) and 29/21.
105
Let v be 9/(-6)*12904551/(-201). Let f = v + -96302. What is the common denominator of f and -1/18?
1206
Let r be 484/(-1694) + (-2910)/7. Let b be 10 + 2 + -2 + 0. Calculate the lowest common multiple of r/(-65) - (14/b + -1) and 9.
18
Calculate the common denominator of 2/(-6) - (17540/(-3248) + 5) and 107/1624.
4872
Let c = 583 + -4659/8. What is the common denominator of -7/4366 and c?
17464
Let c(s) = 9*s - 12. Suppose 3*y - 4*n + 8 = 2*y, -y - 5*n = -19. What is the lowest common multiple of 20 and c(y)?
120
Suppose 158*u - 4284 = 3300. What is the smallest common multiple of 162 and u?
1296
Suppose v - 7*g = -12*g + 156, 3*g = 0. What is the smallest common multiple of 132 and v?
1716
Let o = -19153 + 20605. Calculate the least common multiple of o and 264.
2904
Suppose -20*q + 21*q = 10. Let y be (-15)/(-6) - 15/q. What is the common denominator of 4/y + 2995/(-710) and -115/18?
1278
Suppose -5*u + 4*s = -4420, 11*u + 3*s - 2625 = 8*u. Calculate the least common multiple of u and 180.
7920
Let w = -81900 + 2457157/30. Calculate the common denominator of (-1)/(-80)*(-43)/(-2) and w.
480
Find the common denominator of 4266/(-1872)*(1 + (-237)/243) and 45/32.
11232
Let o = 1985 + -1123. Let p = o + -6087/7. Calculate the common denominator of (6/56)/((-4)/(-14)) and p.
56
Let m = 777/5 + -8267/55. Let x = 652/33 - m. Find the common denominator of -53/8 and x.
24
Let m be (-27)/10*24825/(-10940). Let g = 4482 + -2451655/547. Let t = m + g. What is the common denominator of 43/7 and t?
56
Suppose 11*l - 22 = -0*l. Suppose -z = l*z + 3*x - 12, x - 20 = -5*z. Let d = 33 + -23. What is the least common multiple of z and d?
20
Let o(l) = -4*l - 3*l**2 + 3*l - 4*l + 20 + 4*l. Let s be o(5). Let j = s - -78. Calculate the lowest common multiple of j and 14.
126
Calculate the common denominator of 8 - 3467/10*(-26)/(-1118) and 49/6.
1290
Let o be ((-53379)/25116)/(-3) - (-15)/(-20). Let d = o - 75781/845572. What is the common denominator of d and 19/14?
2828
Let j = -2253448/67 - -33633. Let f = -93/8 + -217/24. What is the common denominator of j and f?
201
Let i(w) = -w**3 - 29*w**2 - 64*w + 394. What is the least common multiple of i(-26) and (-7)/(-3) - 4/(-6)?
30
Let o = 76729388/189059 - 40/14543. Let r = 523078/1287 - o. Calculate the common denominator of r and 56/117.
1287
Suppose 1240 = 7*c - 118. Let d be (-1)/((c/10)/((-144)/90)). Let m = -3308/2231 - d. Find the common denominator of 17/10 and m.
230
Suppose 0*d = 3*f - 4*d - 120, -4*f + 160 = 3*d. Let r = 43 - f. Let z(m) = -m**2 + 8*m - 5. What is the lowest common multiple of z(r) and 7?
70
Find the common denominator of -81/136 and ((-788)/(-156) + -5)/((-544)/1356).
1768
Calculate the common denominator of (9 - (-270753)/(-30051))/(-2) and 47/9.
1431
Let j = 519/8 + -393/8. Find the common denominator of j and -50/83.
332
Let l = 1332402105/4147 - 321293. Calculate the common denominator of l and -19/26.
8294
Suppose 5*u + 4*m = u + 104, -5*u + 126 = 3*m. Find the common denominator of 1 + -4 - 129/u and -149*((32/12)/(-8))/(-2).
24
Let s = -75 + 88. Let a(v) = -v**2 + 18*v - 44. Calculate the lowest common multiple of a(s) and 3.
21
Let r = -83/25 - -1531/175. Let a = -817554/49 - -16684. What is the common denominator of r and a?
49
What is the least common multiple of 312 + 12/(-15)*25 and 2?
292
Suppose 0 = -5*n - 331 + 106. Let y = n - -31. What is the common denominator of (-126)/49*y/4 and -63/2?
2
Let g = 15859/8 + -776877/392. Find the common denominator of -79/112 and g.
784
Let b = 14064 + -27009/2. Let c = b + -2171/4. Calculate the common denominator of c and (-3)/9 + (-74)/66.
44
What is the common denominator of (-13)/(1352/(-1126)) + -11 and 13/20?
260
Suppose 4*t = 3*t + 2*f + 72, t - 3*f - 77 = 0. Suppose -8*l + t = 23*l. What is the least common multiple of l and 8?
8
Calculate the common denominator of (-1450)/112 + 120/210 and -25/2011.
16088
Let k(f) = 2*f + 8. Let u be k(0). Suppose 1 + u = 3*o. Calculate the lowest common multiple of 20 and ((2 - o) + 28)*(-2)/(-3).
180
Let h = 7803 - 70184/9. What is the common denominator of h and 23/539?
4851
Suppose -h + 40 = -2*f, 5*h + 66*f - 208 = 68*f. What is the least common multiple of 147 and h?
294
Suppose 2*d = -d - 18. Let a = -3313 + 3349. Find the common denominator of d/(-24) - 115/a and 133/18.
18
Let v = 30461 - 30457. Let i(y) = -20*y - 8. Calculate the smallest common multiple of v and i(-8).
152
Suppose 71*n + 176 = 79*n. What is the least common multiple of 4 and n?
44
Suppose 3*g + 31 = 919. What is the lowest common multiple of g and 370?
1480
Let t(k) = -13*k - 41. Let h be t(-17). Let j be (-36)/162 - 3120809/h. Let n = -17334 - j. Calculate the common denominator of n and -43/22.
220
Suppose 130*z + 30349 - 151158 = 29471. Calculate the least common multiple of 160 and z.
46240
Suppose -65 = 3*v - 4*v. Suppose 0 = -64*u + v*u - 4. What is the common denominator of -10/17 and 2/20*(u - -5)?
170
Suppose u - f = -0 - 1, -4*u = -5*f + 7. Let o be (-1)/u*(4 - 4). Suppose s + 2*d - 6 = o, 4*d + 12 = s + s. What is the least common multiple of 21 and s?
42
Suppose 4*f = 2952 + 4152. Suppose 4*q - f = -396. Find the common denominator of -89/18 and 78/110 - 46/q.
198
Let u be (-4 - -4)/(6/(-2)). Suppose -45*v + 15*v + 1260 = u. What is the lowest common multiple of 54 and v?
378
Let a(b) = b**3 + 9*b**2 - b - 16. Let z be a(-8). Let m = -59 + z. What is the common denominator of 4020/(-560) - m/7 and 101/14?
28
Suppose -4*n + 0*q + 170 = 2*q, 0 = 5*n - 2*q - 217. Let p = n + -27. Calculate the least common multiple of p and 88.
176
Let v = -4627/642 + 40/107. Let o = -6491810 + 77859007/12. Let p = o + 3563. Find the common denominator of p and v.
12
Let v be -9 - (-2 - (-1 - -4)). What is the common denominator of (130/12 + -1)*v/(-24) and 11/36?
36
Let b = 182129/45 + -4047. Find the common denominator of b and 67/675.
675
Suppose -882*g + 1459 + 16181 = 0. Suppose n + r - 784 = -3*r, -5*n = -3*r - 4035. Calculate the lowest common multiple of g and n.
4020
Let b = 21 - 17. What is the common denominator of 101/22 and b/2 + 201/(-6) - -5?
22
Let r = -209 - -380. Let u = r + -168. Calculate the least common multiple of 83 and u.
249
Let n = 2351749/8632 - 76/1079. Let l = 1059/4 - n. Calculate the common denominator of -17/5 and l.
40
Let z(f) = -f**3 - 3*f**2 + 4*f - 4. Let l be z(-4). Find the common denominator of (159/l)/(18/(-4)) and 2/8 - (-455)/175.
60
Let t be (-343)/(-28) + (-6)/(-8). Let v = 15 - t. Suppose 13 = v*c - 23. Calculate the smallest common multiple of 22 and c.
198
Let y = 29 + -18. Let k be ((-3)/(-4))/(y/(-484)). Calculate the common denominator of -3/14 and (k/(-6) - -2)*5.
14
What is the lowest common multiple of -1 + 12/15*(-5330)/(-13) and 763?
2289
Let s = 1623/38 - 576811/13490. Calculate the common denominator of s and -51/50.
3550
Let u(i) = i**2 - 14*i - 132. What is the common denominator of 44/63 and u(20)?
63
Let y be (30/25)/(9/30). Suppose y*a - 54 = 5*m, -4 - 2 = -a + 5*m. Suppose -21*u + a*u + 150 = 0. What is the least common multiple of u and 6?
30
What is the common denominator of 1 - (-8)/(-22)*(-82 - -78) and 77/102?
1122
Let g(s) = -2*s**3 - 13*s**2 - 15*s + 40. Calculate the least common multiple of 1934 and g(-4).
19340
Let l = 279686 - 279670. What is the least common multiple of l and (26/6 - -1)*15?
80
Let z(g) = 209*g**2 + 24*g - 45. What is the smallest common multiple of z(9) and 10?
17100
Let g(i) = -3*i**2 + 46*i + 3. Let d(o) = 4*o**2 - 17*o + 29. Let z be d(3). Let x = -2 - -3. What is the least common multiple of x and g(z)?
59
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