11)?
16
Let m = 1/9259 + -268737/2092534. What is the common denominator of -5/666 and m?
75258
Let q = 210 + -32. Suppose -t - 2 = 0, f + 11*t - 8*t = 6. Calculate the smallest common multiple of q and f.
1068
Let z = 89286/11 + -1071355/132. Let j = 10465/254486 + -2/3439. Calculate the common denominator of z and j.
444
What is the common denominator of (-20)/(-8)*12/(-15) + (-90)/8 and -57/3092?
3092
What is the least common multiple of 251 and 7530*((-30)/(-15))/(7/1 + -1)?
2510
Calculate the common denominator of 222/(-40) - 1/(4*(-7)/56) and 41/21218.
212180
Let x(r) = -9*r - 84. Let h be x(0). What is the common denominator of ((-4)/6)/(0 - h/639) and (-26)/(-39) - (-31)/6?
42
Calculate the common denominator of -101/28 and (-2 + 1)*(330/(-32) + 4).
112
Let s = -243977/600930 - -995/1821. Find the common denominator of s and 37/198.
990
Let i(o) = -3*o**3 - o**2 - 9*o - 2. Let q be i(-6). Let w = q + -654. Suppose 4*d = -0*d + 56. What is the lowest common multiple of w and d?
70
Let d = -4497 - -4784. What is the smallest common multiple of 17 and d?
4879
Let t(v) = -v**2 - 10*v - 27. Let p be t(-5). What is the common denominator of -34/21 and p*(-4 - (-5)/15)?
21
Suppose 0 = 7*b - 358 + 8. Suppose 0 = -4*o - 16, 2*i + 5*o = -2*i + 260. What is the lowest common multiple of i and b?
350
Suppose -4731 = -11*t + 2397. What is the least common multiple of t and 108?
648
Let a(g) = -4*g**2 + 28*g + 76. Calculate the least common multiple of a(9) and 31.
124
Let n = -2131 - -319663/150. Calculate the common denominator of 55/6 and n.
150
Suppose 370 = 7*i + 29*p - 32*p, -15 = -3*p. Suppose -2*d + 50 = 3*d. Calculate the lowest common multiple of i and d.
110
Suppose 0 = -154*f - 18*f + 3440. What is the lowest common multiple of f and 50?
100
Let z = -2229/9044 - -81/119. Find the common denominator of 26/95 and z.
380
Let a = 131 - 128. What is the least common multiple of 2 and 2/(-7) - 130*a/(-42)?
18
Let u = 117 + -111. Suppose 0 = -u*z + 187 + 11. Calculate the least common multiple of z and 12.
132
Let w = -130257/20 - -6517. Find the common denominator of w and 17/3212.
16060
Suppose 0 = -3*j + 2*q + 6681 + 6569, -j = 5*q - 4428. Let n = -141323/32 + j. Let h = 10206 + -224429/22. Calculate the common denominator of n and h.
352
Suppose -70000 = 56*h - 81*h. Suppose -435*t - h = -442*t. Calculate the least common multiple of t and 6.
1200
Suppose 4*g + 9 = t, -2*t = 5*g - g + 18. Calculate the common denominator of -16/11 and ((-1)/g - 0) + (-3131)/1581.
187
Let r be (1/(-4))/(8/32). What is the common denominator of (-269)/15 + 12/(-30) and (-30)/180*(r + -65)?
3
Suppose 4*g - 16 = 8. Let l be -3*(-60)/18 + -2. Suppose -d = b - l, -3*d + b + 34 = 6*b. What is the smallest common multiple of d and g?
6
Let y(g) be the second derivative of 50*g**3 + 7*g**2 - 8*g. Let q be y(15). Let j = q - 72171/16. Find the common denominator of j and 91/22.
176
Suppose -4*b = -c - b + 51, -2*c + 107 = -5*b. Suppose -6*k + 17*k - c = 0. What is the least common multiple of ((-18)/4)/(12/(-16)) and k?
6
What is the least common multiple of 591 and 23/((-2530)/60) + 116/11?
5910
Let l(r) = 5 + 27*r + 9 + 26*r - 54*r. What is the smallest common multiple of 70 and l(12)?
70
Suppose 641*v - 2520 = 536*v. Calculate the lowest common multiple of v and 612.
1224
Let o = -188 + 287. Let v = 181 - o. Let w = v + -60. What is the least common multiple of 22 and w?
22
Let d = 882 - 879. Suppose -51 = -5*w + d*h + 333, -5*h + 88 = w. Calculate the smallest common multiple of w and 12.
156
Let m be (-900425407)/289520*6/(-171). Let u = 2/147345 - m. Let x = u - -433/4. What is the common denominator of -163/78 and x?
312
Let n be (-180)/(-15) - (2 - -3). Find the common denominator of -71/20 and -1 + 35/n + 89/(-12).
60
Calculate the least common multiple of 384 and 34272/(-1190)*((-574)/6 + -1).
11136
Suppose r + d = 36, -4*r + 2*d + 144 = 4*d. Suppose -7*u = -l - 4*u + r, 2*u = 3*l - 87. What is the smallest common multiple of 21 and l?
189
Suppose -k - 3*x + 372 = -x, 3*x + 372 = k. Let v = k + -2945/8. Calculate the common denominator of (67/36 + (-3 - 1))*1848/(-784) and v.
24
Let r = -14799 - -266497/18. Calculate the common denominator of (-492598)/149100 + 20/7 and r.
450
Let v(z) = -418*z + 5262. Calculate the least common multiple of 246 and v(12).
246
Let v(q) = 2 + 0 + 2 - 3. Let z(l) = 3*l**2 - 3*l - 4. Let k(w) = 2*v(w) + z(w). Calculate the smallest common multiple of 28 and k(3).
112
Suppose 5*z + 20*g - 2785 = 17*g, g - 2795 = -5*z. Let q = -544 + z. What is the least common multiple of q and 60?
240
What is the common denominator of 45/22 and (5 - (-696)/(-18))*24/(-64) - 1?
88
Let j be (-72)/27*(-24)/1. Let o = j - 58. What is the lowest common multiple of 24 and (-2)/(-8)*(2 - 0)*o?
24
Let i be 6 + (-5 - (-102875)/(-16182)) + 2. Let c = i - -1166/279. Calculate the common denominator of 13/18 and c.
522
Let c = -30/11333 + -178569/430654. What is the common denominator of -37/1197 and c?
2394
Let h = 4977 + -49891/10. Find the common denominator of (-7)/616*474 - -7 and h.
220
Suppose 0 = -4*x - 3*f + 4*f - 5, x - 20 = -4*f. Suppose x = -4*v - 9 - 11, 10 = -p - v. Let i = 37 + p. What is the least common multiple of i and 8?
32
Suppose 30753 = s - 3*v, -3*s + s = -2*v - 61494. Let l = 5441758/177 - s. Let h = -4373/1062 + l. What is the common denominator of -59/2 and h?
18
Suppose 353 = 14*i - 103 - 552. What is the lowest common multiple of i and 104?
936
Suppose o + 4*o + 6*p - 1380 = 0, -2*o = 5*p - 552. What is the lowest common multiple of 483 and o?
1932
Let t = 47350/3 + -1893881/120. Find the common denominator of 497/(-168)*57/38 and t.
240
What is the common denominator of (-1)/5 + (20/(-670))/((-1620)/14769) and 37/141?
18894
Suppose -4*u - 2*u = 47418. Let s = 94963/12 + u. Find the common denominator of 5672/(-336) - 2/7 and s.
12
Suppose y + 118 = 4*n, -2*n + 3*y + 64 = -0*n. Let g = n - 55. Let w = g - -40. Calculate the least common multiple of 62 and w.
434
Let f = -690697 - -629915725/912. Calculate the common denominator of f and 41/2280.
4560
Calculate the lowest common multiple of 482 and (-35 + 5576/(-123))/(1/54*-2).
4338
Suppose 4*i = 0, -50 + 174 = -2*k - 2*i. Calculate the common denominator of (k/(-20) - -1) + 1 and 48/64*(-14)/(-91).
130
Suppose 2*p + p + 2*u = -37, 4*u = -p + 1. Let s be 383/10 + (-3)/p. Let o = s + -28. Calculate the common denominator of o and 85/4.
4
What is the common denominator of (-1)/12*(-22)/((-3080)/(-1305)) and 59/608?
4256
What is the common denominator of 102/((-24)/4) - ((-75)/20 - -4) and 39/1910?
3820
Suppose 59 = 4*z + t, -1 - 2 = -t. Let q(l) = -l + 11. Let m be q(7). Suppose -m = -h + 2. What is the smallest common multiple of h and z?
42
Let p(l) = 7*l + 4 + 9*l**2 - 10*l**2 - 2*l. Let t be p(0). What is the common denominator of (-98)/(-20) - 3/(t + 5) and 14/27?
270
Let z = 57765 + -3465983/60. What is the common denominator of z and ((-368)/(-3))/4*48/(-2688)?
420
Let q = -5167547/32 - -161504. Let d = 61/32 - q. Find the common denominator of d and 37/12.
12
Suppose -5*g + 10*g = 250. Calculate the lowest common multiple of g and (-48)/(-3) + (181 - 193).
100
Let r = -1972453/30 + 65752. Let t be (-54512)/(-72)*1/10. Let u = t - 353/5. What is the common denominator of u and r?
90
Let q = 863400807/20 + -43180220. Let n = 10174 + q. Calculate the common denominator of 79/24 and n.
120
Let b(q) = -q**2 - 8*q - 10. Let a be b(-4). Let v = a + 46. What is the smallest common multiple of 20 and v?
260
Let v(o) = -o**3 - o**2 + 4*o + 2. Let i(f) = 4*f**3 + 2*f**2 - 15*f - 7. Let d(l) = 2*i(l) + 9*v(l). What is the least common multiple of 6 and d(-6)?
12
Let w = 1142017/30 - 38072. Find the common denominator of 55/3693 and w.
36930
Let v be (-4 - (-70)/15)/((-2)/(-3)). Suppose 4*j - 30 = j. Calculate the smallest common multiple of ((-66)/(-30))/(v/5) and j.
110
What is the smallest common multiple of 2 and 518 + (7/147*14 - (-20)/6)?
522
What is the smallest common multiple of 4581 and 2704/30 + ((-760)/(-300))/(-19)?
45810
Let c = 7983549327678899/111492 - 71606476945. Let v = c + 1/6194. What is the common denominator of -73/126 and v?
252
What is the common denomina