 718. Suppose 9*n - z = -86. Calculate the least common multiple of 16 and n.
368
Let k be (-1065)/(-2)*(-9106)/(-1566). Let z = k - 3092. What is the common denominator of z and -31/21?
126
Let b = -747/35 - -53678/2415. Find the common denominator of 77/12 and b.
276
Let w = -150627/20 - -7526. Calculate the common denominator of 87/632 and w.
3160
Calculate the common denominator of ((-34)/51)/((-7)/((-938)/216))*2 and 29/1593.
4779
Let w(s) = -43*s - 539. What is the lowest common multiple of w(-15) and 12?
636
Suppose 8 = -2*w + 4*w. Let u be w/(-8) - (-16810)/33588. Let f = 915233/83970 + u. What is the common denominator of f and 30/13?
130
Suppose 5*j + 4*c - 110 = 0, -135*c + 6 = j - 131*c. Calculate the least common multiple of 1 and j.
26
Let j(i) = -23*i**2 + 4*i + 3. Let n be j(-1). Calculate the least common multiple of (-5 - 232/n)*15*1 and 18.
630
Let q = 17344373544580811/83370 + -208040944523. Let i = -1494/7 - -5931173/27790. Let y = q + i. What is the common denominator of -5/21 and y?
21
Let d = -173 + 178. Suppose 9*w = 14*w + 2*z - 212, -d*w + 2*z + 208 = 0. Calculate the lowest common multiple of 195 and w.
2730
Let o be (-16 + -28)/((-1)/((-3)/2)). Suppose 3*v = -v + 192. Calculate the common denominator of (v/32)/(o/190) and -75/2.
22
Let m be (12 + -15)*(-770)/3. Suppose 0 = -17*f + 28*f - m. Calculate the least common multiple of 60 and f.
420
Let j = 109 - 91. Suppose c - j = -17*c. What is the least common multiple of 4 and c?
4
Find the common denominator of 47/49 and 33277/4494 + -4*(-3)/(-2).
294
Let a = 385 + -478. What is the common denominator of -27/2 and (434/a)/((-152)/42)?
38
Let k = 1495875 - 9000413/6. Let j = k + 4216. What is the common denominator of j and (-66)/2*9/(-42)?
42
Let x = -26 - -36. What is the common denominator of (-596)/240 - (-4)/x and (762/(-45) - 9/(-15))/1?
12
Suppose -40*u - 884 + 54 = -206*u. Let w(m) = 0*m - 2 - 5 + 2*m. Calculate the least common multiple of u and w(6).
5
Suppose 0 = 5*t - 9*l + 8*l + 1337, 4*l - 524 = 2*t. Let j = 2951/11 + t. Calculate the common denominator of j and 53/5.
55
Find the common denominator of -93/4 and (1504/86880)/(12/(-30)).
2172
Let d = -3251/4 - -8947/11. Let l = 566577/20 + -28323. What is the common denominator of d and l?
220
Let a(b) = -28*b - 118. Suppose 21 = 12*u - 3. Calculate the least common multiple of u and a(-5).
22
Suppose 0 = l - s - 5, 4*l - s + 10 = 30. Let r be 0/(l/(20/4)). Suppose -i = -d - 35, -i - i - 10 = r. Calculate the common denominator of d and -83/10.
10
Let f = 81/5 + 71/20. Calculate the common denominator of 69/6182 and f.
12364
Let s = -2139096316 + 51346347847/24. Let d = 335178 - s. Let h = -2069/6 + d. What is the common denominator of h and 59/4?
8
Suppose -5*w + 192 = 2*a - 4*w, 370 = 4*a - 5*w. Calculate the smallest common multiple of 48/(-1)*(-10 + a/10) and 57.
456
Let l(z) = 5*z**3 - 4*z**2 + 2*z - 1. Let i be (-3)/6 + 218/4. Suppose i*o = 333 + 855. Calculate the lowest common multiple of o and l(3).
1144
Suppose -13294 = -2*x - 2*g, -22*x + 2*g = -25*x + 19936. What is the lowest common multiple of x and 20?
66420
What is the common denominator of 13/2 and 6/(-4) - -4 - (-14399)/(-5865)?
690
Let b be 1156270/308 - 4/(-14). Let u(x) = -136*x + 3450. Let z be u(53). Let j = z + b. Calculate the common denominator of 113/14 and j.
154
Let a = -163911627/20 + 8206002. Let f = a + -10416. Find the common denominator of f and -65/18.
180
Let g = 1055676331 - 101341059973/96. Let w = -40290 + g. What is the common denominator of w and -59/96?
96
Let t = -11862828 + 410525025737/34606. Find the common denominator of t and -24/7.
242242
Let l = 702 - 130. Suppose -41*p = -15*p - l. What is the lowest common multiple of p and 4?
44
Let i = -407045/19012 - -1053/49. Find the common denominator of -13/18 and i.
3492
Let p be -5 + 6*1/(-2). Find the common denominator of 4/p*(-152)/44 and -59/110.
110
Suppose 7*z = 11*z - 48. What is the least common multiple of (-5)/(57/z + -5) and 44?
220
Suppose 6*h + 329 + 55 = 0. Let s = 3109 - 43473/14. Find the common denominator of 438/h*12/126 and s.
112
Suppose -16*f - 29*f = 28*f - 5840. Calculate the least common multiple of 240 and f.
240
What is the common denominator of (4 - 842*8/480) + 4 and 77/285?
570
Suppose 17*t - 257 - 100 = 0. What is the least common multiple of 258 and t?
1806
Let a = 19 - 43. Find the common denominator of (0 - 1/7)*38 and ((-2)/a)/(2/332).
42
Let y = -3 + 5. Let r = y + 14. Suppose -19*k = 58 - 552. What is the least common multiple of k and r?
208
Let t be (-8)/(-8)*(-2)/(-1). Suppose -t*u = -6*u + 12. Suppose -13 = u*b - 25. Calculate the least common multiple of b and 10.
20
Let z(j) = -112*j**3 + 6*j**2 + 4*j + 7. Let k be z(-3). Let s = 33830/11 - k. Find the common denominator of s and -48/11.
11
Let b be (-1)/6 - 4010/60. Let q = -56 - b. Calculate the common denominator of ((-330)/(-54))/q*(-150)/(-4) and 2/9.
18
Let t be 90590/(-88) + ((-80)/(-88))/5. Let z = 1012 + t. Let h = -10/1931 - 86575/61792. What is the common denominator of z and h?
32
Suppose 232*u - 246*u + 112 = 0. Suppose 4*q = -0*q - 3*v - 2, 0 = q + 5*v + 9. What is the least common multiple of q and u?
8
Let u be 330/(-15)*(-2)/4. Find the common denominator of (u/(-2))/(4/3*-6) and 1/140.
560
Let p = -191 - -169. What is the least common multiple of (p + 23)/((-1)/(-16)*2) and 8?
8
Suppose -5*u = 3*f - 6046 - 29657, -6*f + 71406 = 2*u. Calculate the smallest common multiple of 6 and f.
23802
Let w = -4123 + 4215. Calculate the least common multiple of w and 276.
276
Let g = 22/185 - 23389/2220. Let j be 2221/966 - 10/(-70). Let z = -14/23 + j. What is the common denominator of g and z?
12
Suppose 61 = h + 92. Calculate the common denominator of (-129)/(-234)*-1 + 1 and h.
78
Suppose 3*s - 6 - 3 = 0. Suppose -c + s*k - 8 = 0, 2*c = -2*k - 2*k + 14. What is the least common multiple of 5 and 10 - (c - 0/1)?
45
Let g(p) = -p**2 + 3*p + 13. Let o be g(5). Let k(w) = -w + 5. Calculate the least common multiple of k(-7) and (-10)/o*18/(-15).
12
Let t(q) = -9*q**2 + 3*q + 26. Let h be t(-4). Calculate the common denominator of -3/8 and (-679)/h - (38 - 33).
520
Let p(a) = a**2 - 2*a + 9. Let q be p(0). Suppose 21*m = -n + 25*m, 3*m = q. What is the least common multiple of n and 6?
12
Suppose -97 - 98 = -3*p. Suppose 4*f = -2*g + 36, 4*g - 7*f - p = -8*f. What is the least common multiple of 86 and g?
688
Let u be -30*((-73)/(-4) + 0). Let a = u - -525. Let t = 3773 - 64118/17. What is the common denominator of t and a?
34
Let q = -255/14 - -803/56. What is the common denominator of q and 8/(-4) + 64/(-10)?
40
Calculate the smallest common multiple of 34 and 8*((-1 + 2)*21 + (-79 - -75)).
136
Let u = 46 + 9. Let l = u + -30. Let m(j) = -j**3 + 24*j**2 + 22*j + 54. What is the common denominator of m(l) and -41/9?
9
Let b = -97 + 100. Suppose b = -k + 9. Suppose -27 - 17 = -4*p + 4*i, 0 = -3*i - k. What is the lowest common multiple of 15 and p?
45
Let g(b) = -b**2 + 17*b + 30. Let r be g(21). Let y = r + 3097/58. What is the common denominator of y and -139/6?
174
Let n = -116 + 119. Suppose f = 3*f + 10, -4*o - 5 = 5*f. What is the least common multiple of o/(-5) - (-12 + n) and 2?
8
Calculate the common denominator of (-17009)/(-3262)*7/4 and -11/1692.
3384
Let s be 33897/(-18) - 0 - 2. Let x = 3729 - 1853. Let c = s + x. What is the common denominator of 53/2 and c?
6
Find the common denominator of 59/176 and 43/344*(-27)/(-6).
176
Find the common denominator of (63/(-93))/(814/74*(3 - 2)) and -13/11.
341
Let c(k) = 1495*k - 97168. Suppose 4*q + 0*q = 360. Suppose q = s + 2*s. Calculate the smallest common multiple of c(65) and s.
210
Let f be 4 - 406834*3/(-168). Let c = 7273 - f. What is the common denominator of 21/11 and c?
308
Let q(p) = p**2 + 9*p - 77. Let j be q(12). Let t = 17575/1564 + 5/391. What is the common denominator of ((-2)/(-8))/(1 - j/154) and t?
12
What is the least common multiple of 4365 and (-1485)/550*(6 + 3 + -19)?
13095
What is the common denominator of (83/(-784))/(28/294*-9) and 157/2184?
8736
Suppose 0 = 2*a + 3*v + 81, -3*a + 4*v = -2*a + 24. Calculate the smallest common multiple of (-2)/(-1) + (2 - 0) and 11/(924/a) - 118/