84. Calculate the common denominator of r and -137/96.
384
Let t(d) = -d - 18. Let z be t(0). Let h = 30 + z. Suppose 85 = 5*m - n, -4*m + 19*n - 22*n + 49 = 0. Calculate the least common multiple of h and m.
48
What is the smallest common multiple of 1810/(-14 + 0 + 16) and 2?
1810
Let y = -6/1259 + -190037/15108. Find the common denominator of (-2504)/360 - 4/(-10) and y.
36
Suppose 10*s + 3*s - 52 = 0. Suppose -s*p + 73 = -119. Calculate the least common multiple of 48 and p.
48
Let b = 4867/12 - 1153/3. Suppose 62*x - 56*x + 5634 = 0. Calculate the common denominator of x/(-72) + 4/24*-4 and b.
8
Suppose -o - 5*t = 2, -12 = -2*o + o + 2*t. Let c be 1/((-15)/(-6)) - (-240)/25. Suppose -30*y + c = -20*y. What is the least common multiple of o and y?
8
Let b(s) = -s**2 - 6*s - 3. Let d be b(-2). Suppose -20 = -9*c - 2. What is the lowest common multiple of c and -2*3/(-6) + d?
6
Suppose 2*o - 47 = -17, 3*r = 90*o - 93*o + 78. Suppose -3*n = -2*n - 68. Calculate the least common multiple of r and n.
748
Let d = -3/203288 + 9047261/64035720. What is the common denominator of d and 109/315?
630
Let p = 7161 - 315011/44. Find the common denominator of p and (-6)/12 + (-33)/40.
440
Let x = 18953 - 14993. What is the lowest common multiple of 4356 and x?
43560
Let m(c) = -63*c - 4149. What is the least common multiple of 150 and m(-73)?
450
Let h = 242 + -44. What is the common denominator of -70/9 and (h/448)/(132/154)?
576
Let n = 8 - 5. Suppose 3*s + 4*s = 21. Suppose -3*k - 143 = -3*t - 8*k, -s*t + 155 = -k. Calculate the smallest common multiple of n and t.
51
Let t = -1059 - -3856. Let r = 4601 - t. Let z = -14473/8 + r. Calculate the common denominator of z and -11/20.
40
Let d = -6426 + 13072. Let b = -506859335/22 - -23032416. Let u = d + b. Find the common denominator of u and 59/44.
44
Suppose -2*h - 5817 = -5*h - 2256. Calculate the least common multiple of h and 9.
10683
Suppose 3*n + 5*n = -1408. Let f = n + 302. What is the lowest common multiple of f and 18?
126
Let o = -134 + 134. Suppose -31*b + 29*b + 56 = o. Suppose -4*n = 5*s - 13, 5*n - 15 = -5*s - 0. Calculate the smallest common multiple of b and n.
28
Let m = 11/652 + 1855/15648. Calculate the common denominator of -1/608 and m.
1824
Suppose 2*f + 20 = 0, -974*f + 470 = 5*v - 973*f. Calculate the smallest common multiple of v and (1 - -1)/((-2)/(-3)).
96
Let k = 195 + -191. Suppose 3*q + k*i = 2*q + 242, -i - 1168 = -5*q. What is the lowest common multiple of 4 and q?
468
Suppose -1071 = 5*l - 3*u, -4*l + 2*u = -0*u + 856. Let m = l - -221. What is the smallest common multiple of 100 and m?
200
Let t(s) = 8*s**2 + 5*s + 69. Calculate the smallest common multiple of 682 and t(7).
5456
Let p(r) = -23*r + 289. Calculate the smallest common multiple of p(11) and 30/4*(-24)/(-10).
36
Calculate the common denominator of 88399/(-171348) + -1*(-4)/6 + 0 and -59/40.
5240
Let v = 543582/5 + -108709. Let l = -5114 + -483. Let f = l + 33655/6. What is the common denominator of v and f?
30
What is the common denominator of (66/88)/(327/(-15) - 1) and 45/133?
1064
Let n = 75 + -87. Let j be 106/3 - 8/n. Suppose 0 = k + 3*h - j, -2*h - h - 96 = -3*k. What is the lowest common multiple of 12 and k?
132
Let a = 8/2627 - -257305/908942. Find the common denominator of a and 63/8.
1384
Let b = -1061 - -61. Calculate the common denominator of 1*-8 + (-7450)/b and -65/2.
20
Let s = -129489/20 + 6473. What is the common denominator of s and (-11)/((-33)/78)*(3 + (-141)/48)?
40
Let a = -47895/41 + -2594259/574. Let n = a - -5683. Calculate the common denominator of n and 67/74.
518
Let s(f) = -f**2 + 15*f + 10. Let h be s(5). Find the common denominator of (194/10)/((-8)/10) and -2 + 6 + (-234)/h.
20
Suppose 35*f = 114*f + 43*f - 610. What is the lowest common multiple of 792 and f?
3960
Let f = -10106 + 858971/85. Calculate the common denominator of f and -8/187.
935
Suppose -4 = 4*x - 6*x. Let i be -3*(-132)/27 - x/(-6). Suppose -l + i*l = 56. Calculate the least common multiple of 5 and l.
20
Suppose 5*s - 4*l = 270, -4*s + 3*l + 216 = -2*l. Let t = -1177/290 - -51/29. Find the common denominator of t and 3 - 5 - s/(-26).
130
Suppose -3*c - 2*c = -35. Let z(g) = g**3 - 6*g**2 - 8*g + 16. Let w be z(c). Let s = 20 - w. What is the smallest common multiple of 11 and s?
11
Let f(k) = k**3 - k - 1. Suppose -832 = 4*t - 2*h, -5*t = -8*h + 13*h + 1070. Let v = 216 + t. Calculate the lowest common multiple of f(2) and v.
30
Let m = -10436 + 11996. What is the lowest common multiple of 2808 and m?
14040
Suppose -13*j + 2*y = -12*j + 8, 3*y - 12 = 5*j. Let x(l) = 3*l**2 - 2*l + 6. What is the smallest common multiple of 40 and x(j)?
120
Suppose 2*p - 12 = 2*c, -2*p + 3*c - 26 = -3*p. Let n = 13 + p. Let f = 21 - -3. What is the least common multiple of f and n?
24
Suppose -179*t = -162*t - 306. What is the lowest common multiple of t and 312?
936
Suppose 5*p = -7 + 52. Let z = p + 5. Let i(c) = c**2 - 104*c - 739. What is the smallest common multiple of i(111) and z?
266
Let m = -24879 - -30031. Calculate the least common multiple of m and 70.
25760
Let y = -16/2661 - -49553/127728. Calculate the common denominator of y and (-28)/(-12) - (-996)/(-1080).
720
Suppose 27*a - 41*a = -1008. Calculate the least common multiple of 162 and a.
648
Find the common denominator of 25/22 and ((-6)/70)/(642/(-6527)).
770
Let a(r) = -3*r**3 + 8*r**2 + 6*r - 5. Let t be a(3). Calculate the common denominator of 145/18 and t - 10 - (-114)/24.
36
Let j = 405 - 405. Suppose j = -65*l + 64*l + 6. What is the least common multiple of 171 and l?
342
Let a be ((-42)/5)/(25/(-750)). Let r = -250 + a. Calculate the lowest common multiple of r and 52.
52
Let r(d) = 50*d**2 - 55*d - 153. Calculate the smallest common multiple of 66 and r(-3).
462
Find the common denominator of (-1)/((378/195)/(2/5)) and 4/(-1) + (-1388)/(-280).
630
Let a = -8189 + 11024. Calculate the smallest common multiple of 42 and a.
5670
Let f = -6 + 39. Let b be (-18 - -23)/((-1)/(-1)). Suppose 2*r - f = -k, b*r + 0*r - 75 = -5*k. Calculate the lowest common multiple of r and 24.
72
Let w = -53 - -49. Let z be ((-6)/w)/((-2)/(-8)). Let k(b) = 15*b + 6. What is the lowest common multiple of k(z) and 12?
96
Let x = -1019/2 - -32631/64. What is the common denominator of x and 3/(-48)*44/308?
448
Suppose 3*n + t + 13 = 0, 5*n + 0*t + t = -19. Calculate the least common multiple of 68 and n/((-3)/96*6).
272
Let f = 737 + -713. Let z(r) = 4*r**2 - 36*r - 12. Calculate the smallest common multiple of f and z(10).
168
Suppose 6*g - 2 = t + 3*g, 2*t - 10 = -g. Suppose 0 = 6*y + t - 64. What is the smallest common multiple of 34 and y?
170
Let b = 75305/12 - 6272. Let y = -258398037355 + 29611898285011485/114598. Let o = 2/5209 - y. What is the common denominator of b and o?
132
Find the common denominator of -43/376 and (3/(-72))/(-987*17/(-31178)).
3384
Let x = -4885 - -5379. What is the lowest common multiple of 208 and x?
3952
Let o = -6758/3 - -2236. Let v = -1272/481 - -463276/191919. What is the common denominator of o and v?
399
Calculate the common denominator of (4 + -2)/(-2 + (-174)/(-237)) and (78/(-195))/(-2*17/54).
850
Let v = 3935 + 14960. Let z = -661379/35 + v. Calculate the common denominator of z and 17/49.
245
Let g be (1/(-16))/((-81)/(-9745758)). Suppose 4*q - 22546 = 3*w, -w - 3*w - 30036 = q. Let v = g - w. Calculate the common denominator of v and -95/28.
56
Suppose 767*w = 5*q + 771*w - 4400, -3520 = -4*q + 3*w. Calculate the least common multiple of q and 2400.
26400
Suppose -u = -n - 0*u - 16, 4*n = -4*u - 48. Let c be (-2)/(-5)*(-44 - n). Find the common denominator of -2 - (-2)/c*33 and -43/10.
10
Let w(v) = 3*v**2 - 17*v + 15. Let f be w(5). Suppose -u - 4*a = 3, 42 = 3*u - 4*a - a. Calculate the common denominator of u/f + 4/(-2) and -40/9.
45
Let t = -34301 - -38424. Calculate the lowest common multiple of t and 341.
45353
Let z(m) = -25*m**3 + 6*m**2 + 6*m + 2. Let n be z(-5). Let o = n - 35740/11. Calculate the common denominator of 177/36 + 6/(-9) and o.
44
Suppose d - 19*b + 20*b - 131 = 0, 0 = -d - 5*b + 127. What is the smallest common multiple of 18 and d?
396
Let s = 598 + -1548. Let l be ((-2)/16)/((-98)/744296). Let k 