 0 = -126*k + 129*k + 18. What is the common denominator of ((-3)/k)/(6 - 2944/488) and 59/20?
20
Let g(v) = 61*v - 160. Let x be g(3). Suppose 3*d - 5*z - x = 0, z = -17*d + 12*d + 29. What is the lowest common multiple of d and 1?
6
Let a = -60 + 32. Let g = -28 - a. Calculate the lowest common multiple of (-1720)/(-140) - (g + (-2)/(-7)) and 33.
132
Let z = -5450 + 76213/14. Suppose -6*t - 9 = -2*t + 5*i, -7 = 2*t + 5*i. Find the common denominator of (-1)/(t + 162/206) and z.
154
Let d = 3840 - 3696. What is the smallest common multiple of 664 and d?
11952
Suppose 9*j - 3910 = 4*j + 1590. What is the smallest common multiple of 10 and j?
1100
Suppose -5*c - 445 = -2*f - 3*f, -8 = 2*f. Let h = 104 + c. Suppose l + 80 = h*l. What is the least common multiple of 206 and l?
824
Calculate the common denominator of (-20)/(-15)*(-217)/24 - -6 and -79/3618.
3618
Suppose -5 + 26 = 3*d. Let i be (63/(-54))/d + (-242)/(-12). Find the common denominator of -85/63 and (-24)/i*51/(-9).
315
Let j = 3876 - 3668. Calculate the smallest common multiple of j and 78.
624
Suppose 4 = -2*u, 1260 + 1805 = 5*x + 5*u. Calculate the least common multiple of x and 21.
4305
Calculate the common denominator of -1*((-2123)/132 - -14) and -143/114.
228
Let f be 2/8 - 2/8. Suppose 10*z + z + 385 = f. Calculate the least common multiple of (-6 - 147/z)/(3/(-10)) and 6.
6
Let z = 2889 - 2881. Calculate the lowest common multiple of 586 and z.
2344
Suppose -22 = -5*d + 4*d + 5*u, 4*d = -4*u + 184. Let r = 439 + -423. Calculate the least common multiple of d and r.
336
Let n = 292 - 7291/25. Find the common denominator of (-1)/5 + (-4755)/(-150) and n.
50
Suppose 6*z = -0*z + 108. Calculate the common denominator of -131/6 and 3*(-2)/z + 14/(-372).
186
Suppose -4*j - 2*v = -7166, -5*j - 4*v + 6229 = -2733. Find the common denominator of -57/10 and (-8)/(-10) + (8 - j/225).
90
Let z(q) = 5*q - 242. What is the lowest common multiple of z(57) and 989?
989
Let v be 191/(-2) - (6 - 7). Let w = 1063/12 + v. Let p = -191827/44 - -4359. Find the common denominator of p and w.
132
What is the lowest common multiple of 9/144*-40 - (-1802)/4 and 1344?
1344
Let s = 272359/48 - 5674. What is the common denominator of s and 29/200?
1200
Let z = -555924 - -556338. Suppose 2*k = k + 12. What is the least common multiple of z and k?
828
Let a = -28 - -42. What is the common denominator of -19/7 and 102/36 + a + -7?
42
Let b = -3121 - -3455. What is the smallest common multiple of 4 and b?
668
Suppose 0*b = -4*b + n + 112129, 3*n = b - 28024. Let l = b - 48269. Let t = -242681/12 - l. Find the common denominator of t and 89/6.
12
Let d = -33 - -52. Let m = -3 + d. Let x = 71 - 51. What is the least common multiple of m and x?
80
Suppose -4 = p - 5*p, -52 = 2*q - 2*p. Let g = q + 20. Calculate the common denominator of 99/(-70) + g - (-2)/(-7) and 75/2.
10
Suppose 3*f + 4*p + 31 - 83 = 0, -4*f + 62 = -2*p. What is the smallest common multiple of f and -2 + 3*30*1?
176
Let y = 2479 - 1855. Calculate the least common multiple of 105 and y.
21840
Let l = 1/74327 + 7506987/2973080. Let p = -3638 + 36411/10. What is the common denominator of l and p?
40
Let f(n) = -n**3 + 4*n + 3*n**2 - 1 - 6*n + 4*n. Suppose -5689 = -380*o + 242 + 3569. What is the least common multiple of o and f(3)?
25
Let b(l) = 6*l**2 + 106*l - 40. What is the least common multiple of 36 and b(-20)?
720
Suppose 0 = 42*c + 372 - 4278. Suppose c = 4*d + 5*z, 11*d - 4*z - 62 = 8*d. Calculate the lowest common multiple of 584 and d.
6424
Let h(s) = 3. Let o(c) = -2*c - 26. Let y(m) = 12*h(m) + o(m). Let n = -9 - -4. Calculate the least common multiple of 2 and y(n).
20
Let r = 41 + -40. Suppose 3 = 2*t + r. What is the common denominator of -1 - t/(-1) - 242/(-60) and 23/30?
30
Let o = 630365/72 + -17511/2. Calculate the common denominator of o and 7/(-12) + 4/8.
72
Calculate the common denominator of (-38)/(-3192)*33/15 and 11/14.
420
Let b(n) = -2*n**2 + 24*n - 25. Let k be b(10). Let v be 115*((-4)/(-6))/(25/k). Find the common denominator of 103/20 and (-12 - -11)*73/v.
460
Let q = -33/84252824 - 118962628403483/13901715960. Let r = 8558 + q. Calculate the common denominator of 119/10 and r.
330
Calculate the common denominator of ((-3)/(-2)*6/(-4))/(521247/(-27278)) and -2/293.
586
Suppose 6*u - 36 = -36. Suppose 104 = 5*z + o, 8*z - 3*z - 5*o - 80 = u. Calculate the lowest common multiple of 12 and z.
60
Let m = 285423 + -244322143/856. What is the common denominator of 95/1284 and m?
2568
Let y = 59026795459/1470 - 40154279. Let s = y - 54/245. Calculate the common denominator of -61/27 and s.
378
Let a = -67437 + 67491. Let p(b) = -b**3 - 5*b**2 - b - 6. What is the smallest common multiple of p(-6) and a?
108
Let y = -4469/7 - -646. What is the common denominator of y and -3/217?
217
Suppose k - 88 = -3*k + 2*h, 2*k - 4*h - 32 = 0. Let f(l) = l**2 - 1073*l - 44511. Calculate the least common multiple of f(-40) and k.
72
Suppose -40 = -2198*d + 2196*d - 4*y, 4*d + 5*y = 92. What is the smallest common multiple of d and 1096?
7672
Let l be 165/(-3) + 2 - (-3)/(-1). Calculate the common denominator of (10/(-105)*-75)/((-24)/l) and -103*(2 + (-231)/114).
114
Let y = -835 + 1055. Calculate the least common multiple of y and 1320.
1320
What is the common denominator of (-1639)/(-149) - 3479/317 and -6/2219?
2219
Let a = 2969 - 2887. What is the lowest common multiple of a and 60?
2460
Let y(c) = 1208*c + 23. Let g be y(-7). Let s = -278336/33 - g. Calculate the common denominator of 63/4 and s.
132
Suppose -5*h - 151 = -3*l + 2*l, -h + 2*l = 32. Let f = 1372 - 1416. Let j = h - f. What is the smallest common multiple of 11 and j?
154
Let q be (-3 - (-84)/9) + 4/(-3). Suppose -8*o = -39 - 1, 599 = 4*f - q*o. What is the smallest common multiple of f and 30?
780
Let c = -535742 - -189652519/354. Find the common denominator of c and 157/714.
42126
Let o be 16/(-6)*2*9/(-12). Suppose -4*g = -4*j + 400 - 144, 3*j + o*g - 192 = 0. Calculate the lowest common multiple of 10 and j.
320
Let t(c) be the second derivative of -7*c**3/3 - 43*c**2 + 42*c. What is the least common multiple of 24 and t(-10)?
216
Let t(p) be the third derivative of -p**6/120 - 2*p**5/15 - p**4/8 - 35*p**2. What is the lowest common multiple of 21 and t(-8)?
168
Calculate the common denominator of 89/6 and (2/60)/((-660)/(-198)).
300
Let b = 112072/21 - 5336. Calculate the common denominator of 58/15 and b.
105
Let n = 360 + -3970/11. Find the common denominator of n and -21/325.
3575
Calculate the common denominator of 89/15 and ((-128)/(-54) - 3)/((-55)/(-22)).
135
Let h = 77 - -168. Let u = h - 227. Calculate the smallest common multiple of u and 24.
72
Suppose -16*v + 14*v = -2*s + 66834, 4*v + 100252 = 3*s. Calculate the common denominator of 8 + s/(-5040) - (-4)/14 and -89/15.
90
Suppose 2*p = 2*h - 486, -6*p - 2 = -4*p. Let x = h - 214. Calculate the lowest common multiple of 18 and x.
252
Let i = 61 - 57. Suppose j + 2*t + 0*t - 1306 = 0, j = -i*t + 1308. What is the common denominator of (-5)/(-4) + -1 - j/160 and -41/6?
30
Suppose -724*w + 2824 + 3152 = -60*w. Calculate the least common multiple of w and 1596.
4788
What is the smallest common multiple of ((45/(-189))/(2/36))/(96/(-8960)) and 320?
1600
Let k = 1/1853 - 17251/35399712. Let w = 135317/57312 + k. What is the common denominator of 89/18 and w?
36
Suppose 11*h = 5*p + 13*h + 120, 96 = -4*p + 3*h. What is the common denominator of 49/17 and 852/(-16)*(-16)/p?
34
Let t = 247162281/74 - 10019962/3. Let c = t + 1/111. What is the common denominator of c and 11/30*125/15?
18
Suppose -v + 2*w + 71 = 4*v, v - 19 = 2*w. Let g = 10 - v. What is the common denominator of 108/(-132) + g/2 and -31/8?
88
Let f(l) = 18*l. Let b(j) = j**3 - 18*j**2 - 19*j + 8. What is the lowest common multiple of f(2) and b(19)?
72
Suppose -3*b = 3*k - 18, 0 = -3*k + 2*b - 4 - 3. Find the common denominator of 73/(-10)*k - 3 and ((-77)/462)/((-2)/3).
20
Let a = 107 - 98. Calculate the common denominator of -73/72 and 4 + 3 + 2/a.
72
Let t = 23746 - 19882. Calculate the lowest common multiple of 414 and t.
11592
Let p(g) = g + 15. Let o be p(-11). Suppose 0 = -z - 2*y + 2, -z + 5*z = 2*y + 28. Calculate the common de