
4005
Let o be (5/5)/1 - 502. Let y = o - -627. What is the lowest common multiple of y and 18?
126
Let h = 2274 - 2322. Let f be (1 + 0)/((-1)/39). Let p = f - h. Calculate the smallest common multiple of 15 and p.
45
Let w be (1454/40)/(8/32). Let g = -56264/385 + w. Find the common denominator of g and -41/63.
693
Let v = 133388 - 4801895/36. Find the common denominator of (1/(-28))/((-2)/(-268)) and v.
252
Let a(h) = 8*h + 41. Let v be a(-5). Suppose 0 = -3*m, 0 = -o - 26*m + 28*m + v. Calculate the lowest common multiple of o and 6.
6
Suppose -4*s - 5*t + 13 - 28 = 0, 0 = -3*s - 3*t - 9. Suppose s = -16*w + 12*w + 60. Let m = 10 + -7. What is the least common multiple of w and m?
15
Suppose 23*g + 7635 = 20975. Calculate the least common multiple of g and 220.
6380
Let a(q) = 104*q + 996. Calculate the lowest common multiple of a(-9) and 2868.
14340
Calculate the least common multiple of (-420)/24*(-20)/5 and 315.
630
Let c = 7118 + -71211/10. Find the common denominator of -62/1101 and c.
11010
Let h(t) = 93*t**3 - 6*t**2 - 28*t + 69. What is the least common multiple of 1110 and h(3)?
12210
Suppose 0 = s + 13*s - 210. Let m = 11 - 8. What is the smallest common multiple of m and s?
15
Let x = -21/82 - -3077/328. Let g = -1074799/257520 - -9749/870. Let p = 392/37 - g. Find the common denominator of x and p.
16
Let y(w) = -2*w**3 - 2*w**2 - 2*w + 40. Let d be y(0). What is the common denominator of 0 + 3 + (-62)/d and 17/45?
180
Let r = -171326843/1591 - -107685. Let m = -122427/15910 + r. What is the common denominator of (-12)/14 - (-2 - 0) and m?
70
Let c(h) = 15*h**2 + 238*h - 217. What is the lowest common multiple of c(-35) and 18?
9828
What is the common denominator of ((-654)/(-273))/(-2) + 1 and 85/(-5) + (-204240)/(-12025)?
455
What is the common denominator of 6/(-16)*((-19)/(-6) - -2) and -29/1018?
8144
Let c = -438/671 + -68891/80520. Find the common denominator of -9/328 and c.
4920
Let y = -226189/455 - -3481/7. Find the common denominator of y and 4/1365.
1365
Let f be (0/(1 + -4))/1. Suppose y + 5*m = 4110, 3*y - 3*m = -f*y + 12330. Let x = y - 86384/21. What is the common denominator of x and 17?
21
Let x = -206432596 - -701664404746/3399. Let g = 5/618 + x. What is the common denominator of (-165)/9*6/(-16) and g?
88
Suppose 3*i = 4*y - 81, 5*i - 4 = -4*y + 117. Suppose 13*l - 854 = t - 3*t, 2*t = l - 70. Calculate the smallest common multiple of y and l.
264
Let d(h) = -17*h - 41. Let r be d(-2). What is the common denominator of -2 + r + (-690)/(-72) and -19/24?
24
Let p be -2*(-2)/(-20) + 489973/322140. Let q = p - -1/2301. Find the common denominator of 5/(-15) + (-494)/(-240) and q.
280
Let i = 5594 - 11723/2. Let f = 257 + i. Find the common denominator of 25/21 and f.
42
Let q(p) = 8*p - 13. Let c be q(2). Suppose 5*l = -c*i + 8 + 57, 0 = -4*i + 4*l + 76. What is the smallest common multiple of i and 22?
220
Let p = -9668 - -10528. Calculate the least common multiple of p and 688.
3440
Let g = 41 - 29. Let k = -30189/10 - -3024. Find the common denominator of (2 - 2) + (-68)/g and k.
30
Let h(b) = b**3 + 29*b**2 - 21*b - 30. Let d be h(-30). Let z be 4/((-2)/(-2)) - d/10. What is the common denominator of -61/2 and (z/51)/(44/(-45))?
22
Let g(h) = -24*h**2 + 152*h - 30. What is the lowest common multiple of g(6) and 2?
18
Find the common denominator of ((-237)/9)/(56/21)*2/(-236) and -19/472.
944
Let n = 29446/11 - 2673. Calculate the common denominator of n and (-481)/(-16) + 137 + -170.
176
Let a = -792071 - -31686639/40. Let d = 1394/15 - a. What is the common denominator of d and -53/60?
120
Suppose 1110*w + 417*w - 12283 - 8969 = -244*w. Suppose 2*s - 5*s = -30. Calculate the lowest common multiple of w and s.
60
What is the common denominator of 63/(8343/162 - (-6)/(-4)) and 90/(-175) - -2 - (-2)/10?
350
Let v(i) = -i**3 + 4*i**2 - 4. Let r be v(4). Suppose -4*y + 4 = -0. Calculate the least common multiple of 1 + r + ((-6)/(-3) - -7) and y.
6
Suppose -2*u - 70 = -262. What is the lowest common multiple of u and 7 - 12 - (-9 - (0 - 0)*(-20 - -21))?
96
Let g be -1*(-28)/8*4. Let n = 16 - g. Suppose 16 = 4*m, -n*y + 4*m = 3*y - 74. Calculate the least common multiple of 124 and y.
1116
Let x = 21784 + -3616131/166. What is the common denominator of x and 42/41?
6806
Let n = -973/10 + 24899/255. Find the common denominator of n and -87/22.
1122
Suppose 5*m + 12 = -63. Let d = m + 35. Suppose 5*f = 3*u + 48, 3*f - d = -5*u + 36. Calculate the smallest common multiple of 20 and f.
60
Let x = -126483 + 126555. What is the lowest common multiple of (1/(-2))/(2/(-72)) and x?
72
Suppose 0 = -2*c - 5*o + 2274, 5*o - o = 2*c - 2310. What is the lowest common multiple of c and 5?
5735
Find the common denominator of -26/4357 and (-6)/(-81) - 60925/(-6750).
43570
Suppose -83*g = 1179 - 16074 - 792. What is the lowest common multiple of g and 189?
189
Suppose -13*h + 647 + 172 = 0. Let k = h + -61. What is the least common multiple of k and 12?
12
Let o = -22/29478135 + -688931254277/2999812930140. Let f = -8/1339 - o. Calculate the common denominator of 89/10 and f.
380
Suppose 2*h + 1278 = 3*h. Suppose -4*c = 2*c - h. Find the common denominator of 61/36 and 4 - 6/(144/c).
72
Suppose x = -4*x - 175. Suppose t = 4*h - 741, -5*h + 3*t + 781 = -140. Calculate the smallest common multiple of (28/x)/(2/(-50)) and h.
1860
Let o = 2406494202027/664 + -28975282501/8. Let i = o + -2327974. Let w = i + 5/83. Calculate the common denominator of -65/16 and w.
16
Suppose -5*r + 3*z - 2*z + 449 = 0, -5*r + 454 = 4*z. Find the common denominator of 535/r - 0/(-1) and ((-2856)/320)/(33/(-44)).
90
Suppose -4*f = 2*n - 380, -127 + 27 = -f + 2*n. Suppose -f = 6*q - 10*q. What is the common denominator of 83/6 and (-218)/(-8)*q/(-36)?
6
Find the common denominator of (-4)/34 + 386/(-1632) and (-20 - 15)/(2*3).
48
Let g be (-2)/(-5) - 54/(-15). Let y = -2 + g. Suppose y*t = -3*z - t + 33, 4*z - 4 = 4*t. What is the smallest common multiple of 30 and z?
30
Let o = -11297/2 + 5630. Calculate the common denominator of o and 137/1140.
1140
Suppose -x + c + 150 = 2*x, -3*c - 42 = -x. Suppose 0 = -4*g + 163 - x. Let z = -11 + 13. Calculate the least common multiple of z and g.
28
Let r(z) = 2*z**2 + 2*z + 2. Let v(f) = -f**3 + 113*f**2 + 816*f + 2908. Calculate the least common multiple of v(120) and r(-3).
28
Let d(b) = 312*b**2 - 639*b - 4. What is the common denominator of 99/142 and d(2)?
142
Let f = 35797/11 - 3251. What is the common denominator of f and 73/114?
1254
Let q = -12/77323 + 1469257/773230. Find the common denominator of -2 + 4 - (-2599)/(-1272) and q.
6360
Let r be 4/22 + ((-312)/143 - 6). What is the least common multiple of r + (-4)/((-24)/210) and 4?
108
Let q be ((-13)/3)/(-2 + (-646)/(-324)). Suppose 7*l + 2*l = -q. Calculate the common denominator of l/(-12) - 2/(-4)*-1 and 35/11.
11
Let a = -409/5 - -8563/110. Suppose -3*n + 2*l = 14, 0*n - 3*l + 10 = n. Calculate the common denominator of a and (n/(-3))/(128/(-492)).
176
Let u = 687 + -327. Calculate the common denominator of 67/15 and 10/12 - 6690/u.
60
Let b = -98831/6 + 16491. Calculate the common denominator of -55/2681 and b.
16086
Calculate the common denominator of (-11)/(-154)*3339/270 and 34/21.
420
Let u(i) = i**3 - 4*i**2 + 3*i + 4. Suppose -3040 = 13780*k - 13970*k. Calculate the lowest common multiple of k and u(4).
16
Suppose 17 = 3*y + 5*u, -y + 4*u - 24 = -6*y. Suppose y*m = 2*m - 60. Let z = 70 + m. What is the lowest common multiple of z and 22?
440
Let f = 4877 - 4868. What is the smallest common multiple of 837 and f?
837
Suppose 9*s + 155724 - 12048 = 0. Let u = s - -351133/22. Calculate the common denominator of -39/280 and u.
3080
Suppose -r = -5*g + 104, 57*g - 4*r = 75*g - 344. What is the lowest common multiple of 20630 and g?
41260
Suppose g - 119 = -5*b + 2*g, 0 = b + g - 25. Let p = -177 - -192. Suppose -25 = -x + p. What is the least common multiple of b and x?
120
Let d = -581957/4 + 146778. Let u = 1265 - d. Find the common denominator of (24/9)/(-5 - -7) and u.
12
Let l = 21055 - 884197/42. What is the common denominator of -65/324 and l?
2268
Suppose -381 = w + 11688. Let f = -917275/76 - w. Calculate the common denominator of 5/4