64. Calculate the smallest common multiple of 228 and t(-8).
37848
Let p = -166838534/2465 + 67683. Find the common denominator of p and 29/30.
14790
Let y = 2360/217 - 12641/1302. Find the common denominator of (-142)/192 + (-2)/8 and y.
96
Let o = 402 + -285. Calculate the common denominator of ((-2067)/o)/(25/(-3)) and 44/95.
475
Let x = 6752 - 202507/30. What is the common denominator of x and 181/(-330) - 17340/9537?
30
Suppose 10*w + 6*w - 20*w + 4776 = 0. Calculate the least common multiple of 8 and w.
4776
Suppose -8*g = -11*g - 4*s + 352, -2*g = 4*s - 236. Let i(c) = 3 - 2*c**3 + 1 + 7*c - 11*c**2 + 4. What is the lowest common multiple of g and i(-6)?
116
Suppose -3*y + 1254 = n, 3*n + 2*y = 1372 + 2376. Calculate the least common multiple of n and 312.
1248
Suppose -8 + 14 = 3*o. Suppose 4*l + 328 = 2*d, 0 = -5*l + 7*d - o*d - 400. What is the common denominator of 91/12 and (-102)/64*l/27?
24
Calculate the common denominator of (-79725)/982110 - (76/(-57))/((-114)/(-9)) and 45/4.
6892
Let r = 4006 + -1779. What is the smallest common multiple of 17 and r?
2227
Suppose z + 116 - 627 = 0. Let y be (2 + -3)*(-5 - -3)*z. Calculate the lowest common multiple of (-2)/8 - y/(-56) and 6.
18
Let h = -834 - -1293. Let a = -425 + h. What is the lowest common multiple of a and 5?
170
Let c = 11555/6 - 17393/9. What is the common denominator of c and 4/6 + 24/(-176)?
198
Let w(s) = 46*s**3 - 3*s**2 + 4*s. Let c be w(2). What is the common denominator of 15/2 and 3/12 + c/576?
144
Let k(i) = 21*i**2 + i + 100. Calculate the least common multiple of k(4) and 22.
440
Suppose 4*r = -21 + 13. Suppose 3*m + 5*a - 6 = 0, 4*m + 7 = -2*a + 15. What is the least common multiple of ((-3)/4)/(r/16) - 1 and m?
10
Let z be -1 - 1/(5/(-185)). Suppose z*d + 9 = 39*d. Suppose d*t = -t - 3*g + 60, 0 = g. What is the least common multiple of t and 33?
165
Let t(c) = c**2 + 4*c - 32. Let b be t(8). Let f = 100 - b. Suppose f + 20 = 7*u. What is the lowest common multiple of u and 14?
56
Suppose 2*t = -5*s - 0*s - 19734, 0 = 2*t - 3*s + 19702. Let z = t + 315331/32. What is the common denominator of 113/48 and z?
96
Let l = 315 - 288. Suppose l = 8*v - 37. Let t(n) = n**2 + 5*n + 5. What is the least common multiple of t(-4) and v?
8
Let v = -22441603/800 - -28052. What is the common denominator of 79/40 and v?
800
Suppose 27*w + 77 = 29*w + 3*h, w - 2*h = 56. What is the smallest common multiple of 3 and w?
138
What is the common denominator of 89/8 and (-29395)/(-7390) + 5*(-20)/25?
5912
Let v = 2407/240 - 136/15. Calculate the common denominator of 103/200 and v.
400
Suppose 4*s + 241 + 253 = -2*r, 2*s - 5*r = -241. Let g = s + 132. Suppose -5*n = -10*n + 40. What is the lowest common multiple of n and g?
72
Let o be 5*(-2 - 9/(3/(-1))). Find the common denominator of 222/312 - ((-5)/4)/o and -31/22.
286
Suppose 1 = -7*c + 1. Suppose c = -3*y - 157 + 175. What is the smallest common multiple of 142 and y?
426
Suppose 0*c + 115 = c - 5*w, -5*w = 25. Suppose -24 + c = 2*u. Suppose 0 = -p + 2*p - 33. What is the smallest common multiple of p and u?
33
What is the common denominator of 3/640 and (-194)/(-320) - 6*14/(-672)?
640
Suppose w + 2*t + 5 = 21, -t = -5*w + 25. Let q(j) = -12*j + 18. Let m be q(-13). Let k = -162 + m. Calculate the least common multiple of k and w.
12
Suppose -p + 8*p = -56. Find the common denominator of ((0 + p)/8)/(14/68) and -2/5.
35
Let g(d) = -411*d - 282. Calculate the lowest common multiple of 260 and g(-6).
10920
Suppose -g - 13 = -73. Find the common denominator of (-215)/g*4/(-2) and (-264)/(-462) - 1/2.
42
Calculate the common denominator of 137/144 and (-5)/25*250/(-432).
432
Suppose 69*p = 65*p + 3600. Suppose -5*r - 40*r = -p. Calculate the smallest common multiple of 5 and r.
20
Let p be (-18)/(-12)*2/(-6)*2. What is the smallest common multiple of (-6)/2 + p + 176/4 and 44?
440
Calculate the common denominator of (-17808)/511875 - 9/(-117) and -34/7.
13125
Let d be ((-33)/(-3))/(-6 + 298/50). Find the common denominator of -83/10 and (57/63)/(1 + d/245).
90
Let l = 26725 + -8177831/306. Find the common denominator of l and -119/30.
1530
Let v = 145375/18 - 8082. Calculate the common denominator of v and -248*(-9)/4320 + -2.
180
Let x(b) = -966*b**2 + 37*b + 6. Let c(w) = -967*w**2 + 35*w + 5. Let f(s) = -7*c(s) + 6*x(s). Calculate the smallest common multiple of 6 and f(1).
1902
Let j be (64540046/534772)/((-11)/((-6325)/14884)). Let i = -402/1849337 + j. Let v = i + -10/269. What is the common denominator of -23/11 and v?
88
Let h(u) = -63*u + 1206. Calculate the least common multiple of h(-4) and 24.
5832
Let z = -14/1433 - 170387/14330. Find the common denominator of (-2)/((-136)/133) - 3 and z.
340
Let i = 8/435 + -5489/435. Find the common denominator of i and 13/1077.
5385
Let p(s) = -16*s**2 + 20*s - 28. Let i be p(28). Let k = -144263/12 - i. Let l = -10/51 + -4927/102. Find the common denominator of l and k.
12
Let s = 8/1587 - 141355/22218. Calculate the common denominator of s and -65/2332.
16324
Suppose -145 = 6*l - 175. Let k(q) = -23*q + 127. What is the least common multiple of k(l) and 108?
108
Find the common denominator of (545/50 + 3/(-12))/((-2682)/12) and -57/8.
5960
Calculate the common denominator of -75/248 and 7 - ((-18610)/(-880) + -13).
2728
Suppose -4*p + 5 + 11 = 0. Suppose -p*b + 3 = -3*b. Suppose 0 = -k - 1 + b, 0 = -5*t - 2*k + 229. What is the smallest common multiple of 10 and t?
90
Calculate the lowest common multiple of (-6)/4*((-236)/12 + 5) and (-7 + 3)*(1 + -3).
88
Let h = -5330 - -261196/49. Calculate the common denominator of 11/1302 and h.
9114
Let b = 7270/9329 + 5/491. Find the common denominator of -47/123 and b.
2337
Let f = -5790 + 5997. Calculate the least common multiple of 28 and f.
5796
Let r be 242508/(-1368) - (-4)/38. Let w = -508/3 - r. Find the common denominator of 7/30 and w.
30
Let p(a) = -3*a + 2. Let o = -129 + 57. Let t = o - -94. What is the lowest common multiple of t and p(-2)?
88
Suppose 105*x = 22*x + 1079. Find the common denominator of x and -30/1477.
1477
Suppose -3*t - 1464 = -7*t - 4*q, 0 = 5*t - 5*q - 1850. What is the lowest common multiple of t and 368?
368
Let b(t) = -t**2 + 9*t + 65. Let k be b(-27). Let h = -1472 - k. What is the common denominator of h/40 + 8 + (-6)/4 and 35/29?
232
Let j = 2711 + -8168242/3013. Let b = j - -183721/216936. What is the common denominator of b and 63/16?
144
Find the common denominator of (90/105)/((-1044)/(-45)) and -49/8.
1624
Calculate the common denominator of (-238)/(-2142)*(-2 + (-229)/4) and -3/4.
12
Calculate the common denominator of ((-10)/12)/((-3)/(-45) - 0) and 99/32.
32
Let u(t) = 13*t - 4. Let z be u(-3). Let k = -20 - z. Suppose k = -0*h + 3*h + v, 3*h + 5*v - 19 = 0. What is the least common multiple of 8 and h?
8
Calculate the common denominator of 6 + ((-43244)/(-9690))/(3*(-2)/8) and -13/6.
1530
Find the common denominator of -91/1254 and (9 - -2 - (-1219)/(-106)) + (-284)/(-594).
11286
Let d(t) = t**3 - 11*t**2 + 49*t + 4. Calculate the lowest common multiple of d(8) and 561.
2244
Suppose -2*w - 105 = -17. Let u = -14 - w. What is the lowest common multiple of u and 8?
120
Let s be 24/132 + 1786/(-22). Let c = s + 101. Suppose 29*n = 24*n + c. Calculate the smallest common multiple of n and 10.
20
Suppose 5*u - 3*d - 101110 = 0, -2*d = -3*u + d + 60666. Let r = u - 1294263/64. Calculate the common denominator of r and -91/18.
576
Let v = 3794 - 18961/5. What is the common denominator of v and -45/14?
70
Let r(s) = 25 - 1934*s + 1943*s + 64. What is the least common multiple of r(-9) and 2?
8
Suppose 111 = -34*u + 33737. What is the least common multiple of u and 138?
5934
Suppose 3*w - 2 = w. Let u = -949/315 - -7/45. What is the common denominator of u and w/(-5)*-5 - (-70)/(-18)?
63
Let c(r) = -4*r**2 + 3*r**2 - 6*r**2 - 3 - 75*r - r**3 + 69*r. Calculate the lowest common multiple of c(-7) and 141.
1833
Let d(z) = -5*z + 47. Let k be d(9). What is the least common multiple of 5 and ((-14)/2)/((5 + k)/(-63))?
315
Let t(f) = -55*f + 50. Let a be t(8). What is the smallest common multiple of (6/(-4))/(39/a) and 21?
105
Let p(h) = -2*h + 42. Let s(c) = 2*c**3 + 18*c**2 - 6*c - 6. Suppose -2*y