 Suppose 2*k + 20 = 5*a, -a - k - 15 = -6*a. What is the smallest common multiple of a and t?
12
Suppose 5*k - t - 6022 = 0, -4808 = -4*k + 28*t - 32*t. What is the lowest common multiple of k and 168?
7224
What is the common denominator of -103/14 and (2 - (-202)/(-100))*852/(-48)?
1400
Find the common denominator of ((-2)/(-119)*10)/(66/42 + -11) and -109/714.
7854
Calculate the common denominator of 4/(-7) - 26599/41272 and 53/396.
792
What is the common denominator of (-1)/(-1 + 2) + 1 + (-31310)/(-52080) and 167/336?
336
Let m = -2675/212 - -11/318. Let t = -36645 + 879601/24. What is the common denominator of m and t?
24
Calculate the common denominator of (-1936)/88 - (-233)/14 and 95/10848.
75936
Let g = -78 - -144. What is the smallest common multiple of g and 36?
396
Let d = 409 - 395. Suppose 153*x - 155*x + d = 0. What is the least common multiple of x and 63?
63
Let j = 16267893/728 + -22346. Find the common denominator of j and 45/104.
728
Let f = -143 - -189. Suppose 0 = -28*w + f*w - 216. What is the smallest common multiple of w and 36?
36
Suppose -5*h + 10 = 0, -4*a - 6*h + 148 = -2*h. Find the common denominator of -89/6 and (-843)/(-480)*-2 - (-7)/a.
48
Suppose -4*g = 14*g - 54. What is the smallest common multiple of (-4685)/(-85) + -4 - (-2)/(-17) and g?
51
Let t = 2066/567 - 56/81. Find the common denominator of t and -31/18.
126
Let o = -141 - -141. Suppose -21*d + 12*d + 927 = o. What is the smallest common multiple of 7 and d?
721
Suppose -4*l + x = -3*x + 80, 0 = -4*x + 16. What is the common denominator of -14/15 and 130/1*4/l?
30
Suppose a = -x + 2*a, 5*x + 4*a = -45. What is the common denominator of 169/294 and 3/(-21) + x + 202/42?
294
Calculate the common denominator of 13/576 and 185/(-25900)*(-287)/24.
2880
Let d = 258 + -164. Let m = 178 - d. Let x = m + -83. Calculate the smallest common multiple of x and 4.
4
Let k(d) = 6*d - 24. Let s be k(5). Calculate the common denominator of 12*(-8)/(-84) + 4 and (-1274)/(-132) + 9/(297/s).
42
Suppose 0 = 6*d - 67 - 23. Calculate the smallest common multiple of 10 and -6*(25/d + -6).
130
Suppose -7*n + 6*n - 55 = 0. Let k = n - -53. What is the common denominator of -145/6 and k/15 + -2 + (-9957)/(-5490)?
366
Let k = 6262/27027 - 68/231. What is the common denominator of k and -67/324?
4212
Let o(u) = -2*u**3 - 33*u**2 - 7*u - 58. Let c be o(-20). What is the common denominator of (-6)/(4 + -1) - c/(-726) and 3 + -1 + (-163)/18?
198
Let m = 1209 - 425. Calculate the least common multiple of 560 and m.
3920
Suppose 0 = 1313*r - 1205*r - 216. Calculate the lowest common multiple of r and 3379.
6758
Let o be -3*((-246)/18 - -6). Let b = 10 + -4. Calculate the least common multiple of (-6 + o/2)*2 and b.
66
Let s(c) = -c**3 - 15*c**2 - 12*c + 242. Calculate the least common multiple of 960 and s(-13).
960
Find the common denominator of 59/2760 and 9/1 + 374835/(-248400)*6.
2760
Find the common denominator of (113/(-904))/((-647)/(-2)) and 25/4.
2588
Let u(x) = 839*x**3 + 2*x**2 - x - 2. Let n be u(-1). Let f be (n/8 - -3) + (0 - -1). Let g = f + 78. Calculate the common denominator of -51/14 and g.
28
Let s(u) = 505*u + 135. What is the lowest common multiple of 3630 and s(3)?
18150
Suppose 29*b - 21*b = 32. Suppose 3*u = b*i + 15, -3*u + 17*i - 18*i = -30. What is the lowest common multiple of 3 and u?
9
Let p be (-1)/10*-5*6. Suppose 59 = 2*u - p*c, 5*c = 4*u - u - 91. Let t(z) = z**3 + 8*z**2 - 8*z + 11. What is the lowest common multiple of u and t(-9)?
22
Let b = 1890628 + -3936287419/2082. Calculate the common denominator of 29/5 and b.
10410
Let q = 87303/4 - 20799. Let v = q + -65617/64. Find the common denominator of -91/6 and v.
192
Let f = -65/141 + 10267/7896. Find the common denominator of f and -86/1071.
8568
Let t = -8 + 23. Suppose t*s = 3*s + 48. Suppose 0 = s*a + 20 - 76. Calculate the least common multiple of a and 8.
56
Let t(f) = -24*f - 13. Let n(b) = -49*b - 25. Let i(x) = -3*n(x) + 7*t(x). Suppose 4*p = -30 + 6. Calculate the lowest common multiple of 10 and i(p).
110
Suppose 4*v + 518 = -3*b, 5*b - 502 = -0*v + 4*v. Let s = v - -218. What is the lowest common multiple of 24 and s?
360
Let f = 73 - 69. Let q be (f - -10) + 2/(-3)*-6. Suppose -3*o - q = -2*n + n, -117 = -4*n - 3*o. What is the least common multiple of 3 and n?
27
Let s(b) = b**3 + 15*b**2 - 25*b - 290. Calculate the least common multiple of s(-15) and 255.
255
Suppose -25*d - 4*d = -11*d - 72. Calculate the least common multiple of d and 1818.
3636
Let t = 7947 + -6627. What is the smallest common multiple of t and 132?
1320
Suppose -3923 = -264*c + 829. What is the least common multiple of 11712 and c?
35136
What is the common denominator of -3*291/(-621)*9/(-24) and 55/24?
552
Suppose -12*u - 89*u = -7070. What is the least common multiple of u and 616?
3080
Let i = 316 + -561. Let d = 320 + i. Calculate the lowest common multiple of d and 6.
150
What is the least common multiple of 143 and 58/(-957) + 21885/99?
2431
Suppose 9*u - 1116 = 5*u - p, 4*u = 5*p + 1140. What is the least common multiple of 8 and u?
280
Suppose 2*r - 330 = -r. Suppose 5*s = -150*y + 149*y + 534, 0 = -3*s - 4*y + 266. Calculate the lowest common multiple of s and r.
110
Suppose 0*r + r - 2*v + 549 = 0, -3*r - 1637 = -v. Let g = 8888 + -88921/10. What is the common denominator of g and (-15)/84*r/(-225)?
1260
Let s be 22 + -25 + -2 + 66808/16185. Let y = -6/1079 - s. Calculate the common denominator of y and -43/5.
15
Find the common denominator of 157/1560 and (((-12)/(-4))/(-180))/((-140)/(-6741)*3).
15600
Let a = 14824 - 1319278/89. Let u = a - 6071/712. Find the common denominator of 55/9 and u.
72
Let w = 21725/22274 - -4/4773. What is the common denominator of w and -125/36?
252
Suppose -40 = 2*v + 34. Calculate the smallest common multiple of 8 and (v/(-4))/(-1 + 9/8).
296
Let h = -6 + 22. Let o(l) = -11*l**2 - 50*l + 60. Let j(u) = 6*u**2 + 25*u - 30. Let q(p) = -5*j(p) - 3*o(p). What is the least common multiple of h and q(-10)?
80
Let m = -1335/13 - -353671/3445. What is the common denominator of 49/5 and m?
265
Let o be -2 - (1/((-3)/498) + -3). Let u = o - 164. What is the smallest common multiple of u and 38?
114
Let m(r) = 11*r**2 + 14*r + 43. Let w be m(-6). Suppose 3*d + w = 8*d. Let h = -63 + d. Calculate the lowest common multiple of h and 21.
168
Calculate the common denominator of -121/126 and (-1)/63*(-86688)/576.
126
Let y(o) = o**2 - 8*o + 35. Let h be y(8). Let l = -4353/14 + 605/2. Calculate the common denominator of l and -2*h/2*78/312.
28
Let h = 32 + -21. Let z(m) = -2*m**2 + 10*m + 21. Let a be z(6). Suppose -5*q + a + 36 = 0. What is the least common multiple of q and h?
99
Calculate the common denominator of 4/341 and -6 - (24/32 - (-204237)/(-30132)).
18414
Suppose 5*t = -3*z + 26, -4*z - 2*t - 12 = -7*t. Calculate the common denominator of (-2)/27 - (-167078)/(-7506) and z - (2 + 83/18).
18
Let o = 1667932017137183720 + -17792693147655173198095153/10667517. Let t = -2/10667517 + o. Let n = 2389 - t. What is the common denominator of 23/7 and n?
119
Suppose 10*p - 30*p + 12*p + 72 = 0. Calculate the least common multiple of (-45)/(-3)*(-24)/(-5) and p.
72
Find the common denominator of 12411/(-87948) - (3/1)/(-12) and 13/6.
2094
Let g(h) = -h**3 + 10*h**2 + h - 6. Let n be g(10). Let k = 32 + -24. Suppose 0 = -j + n, z - j - k = -z. What is the lowest common multiple of 8 and z?
24
Let f be (4/(-716868))/((-99)/(-6) - -2). Let i = f + 1175903266/2619256455. Let h = -1/948 - i. Calculate the common denominator of -21/5 and h.
20
Suppose 4566*b = 4572*b - 18. Calculate the smallest common multiple of b and 638.
1914
Let o(l) = 2*l**2 + 23*l - 199. Calculate the lowest common multiple of o(-23) and 594.
2970
Let c = -57 - -47. What is the least common multiple of (-3)/(-4) - (-360)/32 and -10*(-7)/((-35)/c)?
60
Let n be 1 - (-6656)/(-20) - 2/(-5). Let w = 339 + n. Let o = -37/12 + 11/4. Calculate the common denominator of w and o.
15
Let z be 2 - (105776720428654178054/3324288)/1. Let b = z - -31819361147004. Let q = b - 2/25971. Find the common denominator of 83/8 and q.
64
Suppose 2*t + 2355 = 3*x, -8*x + 3140 = -4*x + t. Let j = x + -665. Calculate the smallest common m