374
Let s = 67 - 51. What is the lowest common multiple of 80 and s?
80
Let r = -143716/81855 + 1/5457. Calculate the common denominator of r and 37/335.
3015
Let g be (-60)/3*(-20)/(-50). Let q be -3 - g - (-1 + 3). Find the common denominator of (4/(-144))/(q/(-763 - -1)) and -143/12.
36
Let h(g) = -3*g**2 - g + 2. Let n be h(1). Let l be (-4)/n - (-271287)/(-60). Let v = l - -4521. What is the common denominator of -3/16 and v?
80
Let o = -26554/7 - -3786. Find the common denominator of o and 51/376.
2632
Let b be ((112/21)/4)/((-4)/(-3)). Find the common denominator of (18584/(-480))/23 + b and 33/64.
960
What is the common denominator of 77/828 and -50 + 32 + 3242/184?
828
Let i(y) = -y**3 - 5*y**2 - 4*y + 45. Let p be i(11). Let q = -15527/8 - p. Calculate the common denominator of q and -145/78.
312
Let g = 1/3798 + 19613/37980. Find the common denominator of g and (-6 - 359/(-60))/(1/26).
60
Suppose 16 = 4*a, 3*t + 7 - 17 = 2*a. Suppose -v = -l + 11, -3*v - t = -0*v. What is the common denominator of 37/22 and (-410)/(-8)*l/90?
88
Let z(d) = -95*d - 11643. Calculate the lowest common multiple of 93 and z(-123).
1302
Suppose 4057*f + 864 = 4129*f. Calculate the smallest common multiple of (-168)/(-2)*(-24)/(-14) and f.
144
Suppose -j = -5, 24*k + 93 = 27*k - 3*j. Calculate the smallest common multiple of k and (-25)/(-75) + (-195)/(-9).
396
Let j(z) = 510*z + 27105. Calculate the lowest common multiple of 9*3/(-6)*-6 and j(-53).
675
Suppose -3*z - 2*v + 34 = 21, 0 = -2*z - 2*v + 8. What is the common denominator of (z/8)/5 + (-637)/5928 and -20/171?
171
Suppose -t = 2*t + 3. Suppose 43*m - 18*m - 6875 = 0. What is the common denominator of -83/12 and (t - m/(-40)) + 3?
24
Let d = -27040 + 27049. Suppose p - 4 = -p. Calculate the smallest common multiple of d and p.
18
Let x = -13021 + 13042. What is the lowest common multiple of 12/(-30) + (-302)/(-5) and x?
420
Suppose -2*q + 3*s - 47 = -2*s, s = 2*q + 43. Let h = -3 - q. What is the least common multiple of ((-3)/(-7) - 48/63)/((-2)/132) and h?
198
Suppose 3*n - 2 = -11. Let g be ((-18)/5)/((-24)/160). Let s = g - n. What is the smallest common multiple of s and 3?
27
Let u = -419/1064 - -5/266. Find the common denominator of 51/(-32) + (-4)/(-8) and u.
32
Let d = 105 + -99. What is the least common multiple of (-14)/133 + 11585/133 and d?
174
Suppose -7*u + 40 = -16. Suppose -u*v + 50 = -3*v. Suppose -7 - 2 = -3*b. Calculate the lowest common multiple of v and b.
30
Calculate the common denominator of (((-43)/(-33755))/(21/12))/(4/250) and 19/23.
25277
Let v = -55 + 60. Suppose v*c + 5*z - 45 = 0, -7*c + 29 = -2*c - 3*z. Suppose c*q - x - 92 = 2*q, -x + 52 = 3*q. What is the least common multiple of 9 and q?
18
Let q be (-22)/(-231) - -22*6/(-63). Let c = 16 + -10. What is the smallest common multiple of (1/q)/((-15)/840) and c?
84
Suppose -j - 12146 = -13*j - 10598. Calculate the least common multiple of j and 6.
258
Let v be (12/(-15))/((-8)/40). What is the lowest common multiple of ((-560)/(-15) - v)*3 and 90?
900
Let b(g) = g**2 + 9*g + 7. Find the common denominator of b(-9) and 4/19*87/12.
19
Suppose -3*p + 113 + 52 = 0. Calculate the least common multiple of p and 55*((3 - (-3 - -16)) + ((-12852)/140)/(-9)).
55
Let p(a) = -5*a**2 + 100*a - 317. Calculate the smallest common multiple of 642 and p(16).
642
Let o = -14577/110 - -666/5. Let g be -2*15/(-576)*-91929. Let u = g - -4785. What is the common denominator of u and o?
352
Let c(x) = x - 29. Let s be c(24). Calculate the common denominator of (-15)/(-3)*(-3)/57 and ((-7)/14*5)/s.
38
Calculate the least common multiple of (5 - -1 - (0 + -3)) + 1 and 86.
430
What is the common denominator of 55/7 and (0 + 18/(-8))/(142647/510)?
39158
Let a be ((-194)/8 - -1)*-168. Calculate the common denominator of 10/(-102)*a/(-280) and 41/12.
204
Suppose -1 = m - p - 3, 0 = 5*p - 20. Suppose -2*v + 22 = -k, -3*k - 44 = -5*v - m*k. Calculate the smallest common multiple of v and 26.
130
Let p = 390333/99847 - 2/9077. What is the common denominator of p and -1*3 - 1887/(-323)?
209
Calculate the lowest common multiple of (-5*1566/(-725))/(4/130) and 195.
1755
Let n = -1856013/14 - -509833/4. Let d = n - -5115. What is the common denominator of d and 25/16?
112
What is the common denominator of 12/78 - (-1805)/858 and 1/(-8)*(1 - (-470)/(-18))?
396
Let o = -110031/28 - -19203/28. Let h = -1090783/336 - o. What is the common denominator of 95/18 and h?
144
Suppose 3*i + 609 = 6*i. Let q = i - 177. What is the lowest common multiple of q and 8?
104
What is the smallest common multiple of 36/198 + (-1824)/(-132) and 308?
308
Let z(y) = y**2 - 10*y + 27. Let l be z(-10). Suppose 103 = 15*x - l. What is the least common multiple of 4 and x?
44
Suppose 4*n = -3*w + 1, -w = -3*n - 0*w + 17. Let m be 9/(5 - 4) + n. Suppose -4*h = -23 - m. What is the smallest common multiple of 15 and h?
45
Calculate the smallest common multiple of 196 and ((-49)/3)/(5/(-240)*4).
196
Suppose -4*d = -512*x + 507*x - 1215, -4*d + x = -1203. What is the smallest common multiple of 510 and d?
5100
Suppose -29*j + 12 = -26*j. Let t = -8 + 18. What is the smallest common multiple of 15/(-25) - (-46)/t and j?
4
Suppose y - 483 = -4*q, 0*y = -3*q - 2*y + 366. Find the common denominator of 195/q*(-7)/3 and -91/6.
24
Suppose -4 = -5*k + 11. Suppose 5*o + z - 28 = 0, 5*o = -5*z + k*z + 31. Suppose 17*x - 292 = 125 + 178. What is the least common multiple of o and x?
35
Let j be (-1)/5*(9942/(-2488) + 4). Let y = -1092939/105740 - j. Let n = y - 43/34. Find the common denominator of 13/10 and n.
10
Let z = 4/2121 - 3442/75649. Find the common denominator of z and 1 - 0 - 3 - 280/30.
321
Suppose 15 = -3*m, -5*n + 22 + 383 = -3*m. What is the lowest common multiple of 324/10 + n/130 and (-3 - 15)*3/(-2)?
297
Let h = -30314 - -30391. Let y(s) = -16*s + 1. What is the least common multiple of y(-3) and h?
539
Let w = -4635 + 5459. What is the lowest common multiple of w and 618?
2472
Suppose -3*n - 3*w + 45 = 0, 4*n + 35 = 8*n - w. What is the lowest common multiple of n and 1038?
5190
Let d(u) = 5*u**3 + 364*u**2 - 74*u - 67. What is the least common multiple of d(-73) and 950?
2850
Suppose -3*p + 82*p + 790 = 0. Calculate the common denominator of ((-49)/30)/((-2)/(-3)) and (1775/120 + p)*4/10.
60
Let z(i) = 8*i - 2. Let n(g) = 15*g - 4. Let x be (-4)/(-48)*4*6. What is the least common multiple of z(3) and n(x)?
286
Let j = -13/121 + 5921/2178. Let m = 824 + -464. Find the common denominator of j and (-5)/(-12)*7 + 48/m.
180
Let p = 1005 - 112563/112. What is the common denominator of p and -25/56?
112
Let p = -247/204 + 5/17. Let y = 21335/16344 - 558/227. Find the common denominator of y and p.
72
Suppose -24 + 60 = -6*y. Let t(a) = -a**3 - 6*a**2 - 2*a - 7. What is the smallest common multiple of 70 and t(y)?
70
Suppose 5 - 17 = -4*c. Suppose c*b + 3*p - 33 = 0, -2*b - 30 = -5*b - 2*p. What is the lowest common multiple of -52*(-1 + 3 - 3) and b?
104
Suppose -5*k = -11*z + 13*z - 54, -2*k + z + 18 = 0. What is the lowest common multiple of k and (-4)/26 - (-729)/13*2?
560
Let w be 1/(-3)*(-3 - 920040)/3. Let v = w - 406833/4. Let b = v - 516. Find the common denominator of b and 31/8.
8
Let d = 22080560/189 - 116828. Let k = 2/949521 + 568129813/119639646. Let a = d - k. Calculate the common denominator of a and 67/4.
36
Let p = 93910 - 1728037907/18401. Let m = p + -1711389/588832. Find the common denominator of -13/20 and m.
160
Let c be 6/(-6) - (-2482)/210. Let k = -22881 + 343027/15. Let l = c + k. Find the common denominator of 49 and l.
7
Let h(u) = -u**2 + 22*u + 356. Calculate the smallest common multiple of 75 and h(32).
900
Let f be (-312)/(-168)*(-256)/(-394). Let k = 3/394 + f. What is the common denominator of 67/58 and k?
406
Let y = -8/17 - -35/17. Let w = 51 - 55. Calculate the common denominator of -43*(-3)/(31 + w) and y.
153
Let p be -49*4/((-64)/892) - 24/72. Let z(h) = 100*h**3 - 2*h**2 + h - 2. Let i be z(-3). Let x = p + i. Find the common denominator of -67/6 and x.
12
Suppose 41*t - 43*t + 2*a + 266 = 0, 0 = 3*t + a - 363. Let u = 12 + -5. What is the lowest common multiple of t and u?
868
Suppose 167*t - 187*t = -120. Calculate the least commo