0
Let o be 1/2 - 7/(-2). Suppose 0 = o*g - 46 - 34. Suppose 0 = -483*j + 1275 + 2589. Calculate the lowest common multiple of g and j.
40
Suppose 84*s - 18567 = 2349. What is the least common multiple of 9 and s?
747
Suppose -5*x + 6 = b, -7 - 1 = 2*x + 3*b. Let a be (2 + (-15)/x)*-4. Suppose -2*w + 17 = v, 4*v - 3*w = a + 35. Calculate the lowest common multiple of 3 and v.
15
Let l(d) = 2*d**2 + 17*d + 12. Calculate the smallest common multiple of 21 and l(-9).
21
Let n = -690895/42 + 16452. Calculate the common denominator of 7 - (71/18 - 1) and n.
126
Suppose -3*m - 13*h + 16*h = -6, 5*h = -3*m + 22. Suppose -s = -0*s - 4. What is the smallest common multiple of m and s?
4
Calculate the least common multiple of (-30)/(-80) + 6068/32 and 171.
1710
Suppose 34*n + 671 = 45*n. What is the smallest common multiple of 20*(-2)/(-8) + n and 42?
462
Let f = 341 + -134. Let z = f + -111. Calculate the lowest common multiple of 6 and z.
96
Let z = -990855/463478 - 1/15982. Let a be (-2306)/2*(-2)/(-522). Let q = z + a. What is the common denominator of q and 29/5?
45
Let y = 1452 + -13094/9. Calculate the common denominator of y and (-230)/(-66) + 216/(-54).
99
Calculate the least common multiple of 14972/7 - (-10)/70 and 30.
21390
Let r = 7621865 - 11405292. Let x = r + 30202059/8. Let t = 8180 + x. Calculate the common denominator of t and 91/24.
24
Let h = -7 - -14. Let s = h - 4. Suppose 98*o + 15 = 103*o + 5*k, 3*o - 11 = -k. Calculate the lowest common multiple of o and s.
12
Let k = 3409 + -1491. Calculate the least common multiple of 2 and k.
1918
Let p = 30845587/433132260 - 2/656261. Find the common denominator of 11/780 and p.
8580
Let d(c) = 162*c**2 + 24*c + 58. Calculate the least common multiple of 196 and d(-2).
9212
Calculate the least common multiple of ((-2)/(-1))/((-16)/56) - (-4 - 1215) and 18.
3636
Suppose 13*a + 11 = -28. Find the common denominator of a/(-6) + 58/14 and (-5)/(-25) - 163/240.
336
Let z = -195989/1040 - -109638327/668720. Let h = -9012 + 5794715/643. Let p = z + h. Find the common denominator of p and 11/2.
2
Suppose -21*v - 117 = -810. Let u = 2500 - 2194. Calculate the least common multiple of u and v.
3366
Let q be ((-182)/6 - 1)*15558/4. Let d = -8043637/66 - q. What is the common denominator of d and ((-3270)/(-816))/1 + (-2)/(-17)?
264
Let d = -145267/112 - -1297. Find the common denominator of 71/112 and d.
112
Let b(c) = -18*c - 32. Suppose -7*p - 663 = -635. Calculate the lowest common multiple of b(p) and 120.
120
Suppose -12*v + 48 = -0*v. Find the common denominator of v/(-16) + 91/(-140) and -11/36.
180
Let t = -553 - -6647/12. Let l be (17/204)/((-1)/(-49934) + 0). Let v = l - 4182. What is the common denominator of t and v?
12
Let r = 8426 - 109483/13. Let f = r + -1073/312. Let c = -1129 + 20335/18. What is the common denominator of c and f?
72
Let c(d) = -d**3 + 26*d**2 + 88*d - 11. Calculate the lowest common multiple of 7/(-35) - (-51)/5 and c(29).
90
Let j be 2/(-4) + 162/36. Suppose 81 = j*m + p - 55, 4*p + 51 = m. Calculate the smallest common multiple of m and 10.
70
Suppose 46 = 5*v - 2*j, v + 0 = 3*j + 4. Suppose -8*x - 18 = -v*x. Suppose -r + 20 = f - 8, 0 = 5*r + 10. Calculate the least common multiple of x and f.
90
Let f be (20 + 2)/((-1)/1). Let b = 425 + -394. Let t = b + f. What is the least common multiple of 10 and t?
90
Let q(x) = -285*x - 1108. Suppose -4*u - u - 25 = 0, 5*f - u = 325. Calculate the lowest common multiple of q(-4) and f.
64
Calculate the common denominator of 0 - (0 - 10/16) and 5/50*(-5)/14.
56
Suppose 2*p + 3*x + 18 = 4*p, -3*p - 3*x + 42 = 0. Calculate the smallest common multiple of 174 and p.
348
Suppose -5*u = -u - 48. Suppose -u*l - 224 = -5*l. Let b = 48 + l. What is the least common multiple of 8 and b?
16
Let f = -923129 + 23088397/25. Let b = -407 + f. Let y = -401643/8 - -1205177/24. Find the common denominator of y and b.
75
Let t = 597 - 12520/21. Let k = 131/21 - t. Let z = 1194 + -9487/8. Find the common denominator of k and z.
56
Let f(h) = 28*h**2 - 124*h - 828. What is the least common multiple of f(-6) and 399?
17556
Suppose -3 = -k + 15. Let x(q) = 12*q - 23. Let r be x(-5). Let i = 97 + r. What is the smallest common multiple of i and k?
126
Let i = 634 - 639. Calculate the common denominator of (i - -14 - 46)/14 and -36/49.
98
Let c be (22/14 + 1)/(144/(-672)). Let a be c/3*5/(-99210). Let r = a + -320807/138894. What is the common denominator of 79/21 and r?
42
What is the common denominator of -2 + 54/28 - (-1473943)/20378148 and -61/10?
238620
Calculate the common denominator of (-413819)/(-49098) + -8 - (-14)/(-49) and 11/2505.
5010
Let u = 18451 + -18379. What is the least common multiple of 222 and u?
2664
Let h(m) = -15*m + 1011. Calculate the least common multiple of h(-55) and 612.
1836
Suppose n - 5 = -w, -2*w = -0*w + 5*n - 22. What is the lowest common multiple of 162 and (2/w)/((-15)/495*-6)?
1782
Suppose -a + 45 = 5*m, -5*m + 10*m - a - 55 = 0. Suppose i - s - 3 = m, -4*i = 4*s - 28. Calculate the smallest common multiple of 58 and i.
290
Suppose 154337 = -185*g + 1144827. Calculate the smallest common multiple of g and 6.
16062
Let l be (-7)/5*(-14705)/(-15). Let w = 1369 + l. Find the common denominator of w and -109/60.
60
Let h = 164 - -1368. What is the lowest common multiple of 16 and h?
6128
Let r = 51033/8 - 6373. What is the common denominator of 21/2113 and r?
16904
Suppose 0 = -9*w + 11*w - 4. Suppose -2*f + 7 = -o + 3*f, 0 = w*o + 4*f. Calculate the smallest common multiple of 2 and (-7 + 10)*5/((-5)/o).
6
Suppose 136 = -9*o - 404. Calculate the lowest common multiple of 72 and (272/(-40) + 5)*o.
216
Calculate the common denominator of (-6)/((-1050)/(-301))*5 and -32/175.
175
Let s(b) = -3*b**3 + 4*b**2 - 60*b - 224. Calculate the smallest common multiple of 192 and s(-6).
5568
Let a = -50 + 52. Let r be (-2)/(-10) - (-29)/5. Let w(l) = -l + 7. What is the lowest common multiple of a and w(r)?
2
Suppose -2*r + 35 = 3*r. Calculate the lowest common multiple of r and 8/(-38) - 73440/(-17442).
28
Let x = 873/22 + 20/11. Find the common denominator of x and (1 - 11/2)/3.
2
Suppose -v - 3*o - 1127 = 542, 3*o = 2*v + 3365. Let m = -346 + v. Let a = 20197/10 + m. Find the common denominator of 101/46 and a.
230
Let b(x) = -x**3 - 33*x**2 + 67*x - 111. Let p be b(-35). Find the common denominator of (p/23)/(28/189) and 31/18.
414
Let x(i) = i**3 - 4*i**2 - 7*i + 16. Let g be x(4). Calculate the least common multiple of (-1958)/g + 26/(-156) and 5.
815
Suppose -33 = 4*s + h, 2*s + 3*h + 11 = s. Let o be -2 - (2/s - 11070/(-16)). Let q = -702 - o. Find the common denominator of q and -49/18.
72
Let s be 8/(-6)*27/(-18). Suppose 0 = s*n - 0*n - 16. Suppose 20*d - 280 = -0*d. What is the lowest common multiple of n and d?
56
Suppose 30*o - 3*o = 3861. What is the lowest common multiple of o and 117?
1287
Calculate the common denominator of 949/(-420) - (-10)/(-50)*-10 and -17/28.
420
Let d = -1716 + 113263/66. Find the common denominator of -103/294 and d.
3234
Let l = 82 - 82. Suppose -3*b + 4*y + 58 = -l*b, -b + 28 = 3*y. Suppose 3*d - 16 = d. What is the least common multiple of b and d?
88
Let d(x) = -4*x + 2. Let l(n) = -n + 4. Let v be l(7). Suppose 0 = 4*g - a - 83 + 32, -5*a = -25. What is the lowest common multiple of g and d(v)?
14
Suppose -p + 17 = -5. Calculate the smallest common multiple of (-4010)/310 - -13 - (-229738)/527 and p.
4796
Suppose a = 5*y - 3*a - 17, 0 = 3*y - 3*a - 12. Suppose 7*r - 440 = 12*r. Find the common denominator of (r/3)/y*(-5)/(-30) and -103/24.
72
Let q be (9/(-6) + 2)*(-4156 - 2). What is the common denominator of (28/6)/(41328/q) and 67/20?
1640
Calculate the least common multiple of (-38048)/348*(81/(-30))/((-12)/(-10)) and 41.
246
Let m = 118 + -119. Suppose 20 = 4*z - 9*z. What is the least common multiple of 8 and (z*m/(-3))/(2/(-21))?
56
Let g = -134 + 133. Find the common denominator of (2457/(-72)*-4)/(g + -2) and (-5 - -2) + (-237)/12.
4
Suppose k + 4 = -k. What is the smallest common multiple of 3/((-9)/(-2))*(-1 + 91) and 3/(k*(-12)/16)?
60
Suppose -11 = -3*w + 2*f, 2*w + 4*f - 29 = f. Let u(g) = -g**3 + 10*g**2 - 3*g - 6. Let q be u(w). What is the common denominator