294. What is the smallest common multiple of h and 692?
7612
Let s(x) = 3*x - 32 + 3 - 8. Suppose 4*l + l - 4*j = 87, 29 = l + 5*j. Calculate the smallest common multiple of 8 and s(l).
40
Suppose 9*y = -28*y + 3552. What is the common denominator of 177/9*9/y and -115/36?
288
Calculate the least common multiple of 11 - 6 - -14 - 7 and 168.
168
Let g = 528 - 460. Suppose 74*m = g*m + 1710. What is the lowest common multiple of 8 and m?
2280
What is the common denominator of -53/2787 and 6 - -3 - (-1431)/(-405)?
13935
Let f = 7421/4 + -1841. Let o be (7 + -13 - -2) + 163683/30. Let r = o - 5460. Calculate the common denominator of f and r.
20
Suppose 0 = 4*j - 0 - 12, -2*j + 78 = 4*o. Let y(i) = i**3 - 5*i**2 + 52*i + 6. Calculate the least common multiple of y(0) and o.
18
Calculate the common denominator of 2275/(-37080) - (-38)/304 and 28/927.
927
Let d = -12 - -10. Let s be -1 - (d + (-13215)/18). Let h = s - 741. What is the common denominator of h and -81/20?
60
Let n be -1 - ((-660574)/160450)/(18/15). Let c = n - -8/3209. Calculate the common denominator of 31/110 and c.
330
Suppose -5*k + 15 = -0. Suppose k*g + 2*c = 26, 61 = 2*g + g - 5*c. What is the common denominator of (2/g)/(1 - 82/87) and 145/6?
30
Let r = -432/13 + 6977/208. Calculate the common denominator of ((-28)/(-24))/(-10*(-12)/190) and r.
144
What is the lowest common multiple of 208 and -12 - (-857 + 7)/25?
2288
Let j(u) = -17*u - 4. Let r(m) = 4*m**2 + 6*m - 39. What is the least common multiple of j(-2) and r(3)?
30
Suppose 15*h - 234 = 2*h. Suppose -854 = -h*n + 11*n. Calculate the smallest common multiple of n and 8.
488
Let s be -1 + (-1 - -19) + 1/(-1). Suppose 12*d - 100 = s*d. Calculate the common denominator of (-5)/(d*10)*-101 and 109/6.
150
Let p = 18560 - 16996. Calculate the smallest common multiple of 8 and p.
3128
Let x(f) = f**2 - 2*f + 1. Let u be x(1). Suppose 0 = -s - j, -4*s + u*j - 2*j = 0. What is the common denominator of (207/42 + s)*-1 and -11/4?
28
Let c = 1604183363/2712 + -591513. What is the common denominator of -73/1130 and c?
13560
Let f = 3166/51 + -191895/3094. Calculate the common denominator of f and 121/36.
3276
Let o = -7783 - -7786. What is the smallest common multiple of 1430 and o?
4290
Calculate the common denominator of 18/54 - (-862)/(-84) - -3 and 10/(-16)*(-3800)/2926.
154
Suppose g + 8 = -2*j + 3, j + 4 = -2*g. What is the smallest common multiple of j - (-5 + (-1 + -3 - -2)) and 6?
30
Let r = 2067071609866584305/42495904188 + -904123527471/18587. Let i = 59/63509 + r. Let g = -3356/3 - i. Find the common denominator of 49/16 and g.
144
Let a(x) = -3*x**2 - 6*x + 11. Let q be a(2). Calculate the least common multiple of 20*(q/5 - -3) and 28.
56
What is the lowest common multiple of 2025*(-13 - 201/(-15)) and 270?
810
Calculate the common denominator of (-4)/(-9) - (25 - 549420/22302) and -31/413.
413
Suppose 5*c + 13 = -x, -176*x - c = -175*x - 3. Suppose -k = -3*k + 42. Calculate the smallest common multiple of x and k.
21
Let n = -3019 + 1831. What is the common denominator of 8 + -6 + 207/(-60) and 6/(-14) - n/224?
40
Suppose 14*v - 8 = 12*v. Let y = v - -4. What is the lowest common multiple of y and 104?
104
Let o be (4 + -11 + 3)*(-3)/2. Suppose 0 = -4*q + 16, 5*z + 2*q = o*q + 824. Calculate the smallest common multiple of 36 and z.
504
Let g(t) = 10*t**2 + 2*t - 18. Let z be g(8). Let r be (z/4)/(-2 - 24/(-9)). Let x = r - 249. Find the common denominator of 83/20 and x.
20
Let n(g) = -g**3 - 4*g**2 - 7*g - 7. Suppose p = 6*p + 20. Calculate the smallest common multiple of n(p) and (-8 + 16 - -10) + (-3 - (2 - -1)).
84
Suppose -2*j + 5 + 5 = 0. Let m(d) = -46*d - 21. Calculate the smallest common multiple of j and m(-6).
255
Suppose 24*s - 574 = 2. Suppose -4*p + 5*n + 243 = 0, -5*p + 0*n + 294 = -3*n. Calculate the least common multiple of s and p.
456
Let p = 170 + -178. Calculate the common denominator of -9/76 and 399/63 + p/(-6).
228
Let o = -10572 - -718797/68. Calculate the common denominator of o and 4 - (400/88 - 3/2).
748
Find the common denominator of (-1)/(-360)*16564/(-123) and -79/450.
1350
Suppose 25380 = -6*k + 16*k. Let t = k - 1370. Find the common denominator of ((-14)/5)/(t/(-520) + 2) and 103/44.
88
Let f = 3/18481 - 1035773/5156199. Let a = -3157381/15 - -210488. Find the common denominator of f and a.
1395
Let l = 42832 + -1756196/41. Let y = 248/123 + l. Find the common denominator of y and -1/27.
1107
Let d = 77 - 71. What is the lowest common multiple of (-3 + 2)*(0 - 72/d) and 3*(-16)/(-18)*3?
24
Let q(i) = i**2 + 17*i + 9. Let c be q(-3). Let u be -3*18/3 + -1. Let p = u - c. Calculate the least common multiple of p and 5.
70
Let a = -9307 + 139699/15. Find the common denominator of -131/90 and a.
90
Let r = -2076 + 2186. What is the smallest common multiple of 11 and r?
110
Let v = -2787 - -3619. Calculate the smallest common multiple of 6656 and v.
6656
Let p be ((-4)/10)/((-204)/330140). Let x = p - 19513/30. What is the common denominator of 61/326 and x?
1630
Let i = 22 + -16. Suppose -5*o = -i*o + 2. Let z = o - 1. Calculate the smallest common multiple of 5 and z.
5
Suppose 28 = 7*o - 84. Let v(y) = y**3. Let u = 2 - 0. Calculate the lowest common multiple of o and v(u).
16
Let u(y) = 7*y + 10. Let k be u(-1). What is the smallest common multiple of 63 and 4 - (2 - k) - (-2 - 35)?
126
Let j be 12/(-15) + 4 + 762/15. Let u be 2/(-9) + (-145086)/j. Let r = u + 64517/24. What is the common denominator of 52/27 and r?
216
Suppose 0*s - 5*s + 1140 = 0. Calculate the lowest common multiple of 399 and s.
1596
Suppose 0 = 3*z + 20 + 40. Calculate the common denominator of ((-6)/z)/(12/310) and -1 + 1317/189 + 95 + 43160/(-455).
36
Calculate the smallest common multiple of 91669/261 + (-2)/9 and 72.
2808
Let k be (-14472)/(-105)*2/((-16)/(-108)). Let q = k - 1861. Calculate the common denominator of -97/14 and q.
70
Let x(m) = -7*m + 18. Let a(v) = -v**2 - 16*v + 5. Let p be a(-16). Suppose -p*s = -10*s + 100. Calculate the least common multiple of s and x(0).
180
Let l = 70 - 72. Calculate the common denominator of -45/11 and (l*2/(-20))/((-84)/6650).
66
Let v = -2763743/379746 - -2/21097. Find the common denominator of v and (-158)/(-24) + (-3)/9.
36
Suppose 3*g - 150 + 29 = s, 4*s + 468 = 4*g. Let q = 213 + s. Calculate the least common multiple of q and 7.
98
Let t = 9330 - 1418193/152. Let k = 91896 + -1654057/18. Calculate the common denominator of t and k.
1368
Let j = 70942/87 + -815. What is the common denominator of 39/290 and j?
870
Let f = -151 + 3329/22. Let j = f - -787/154. Calculate the common denominator of j and (-3)/(-21)*-1 + 710/(-126).
63
Let z = 271/18 + -985/66. Find the common denominator of z and 63/550.
4950
Let z = -10 + 16. Suppose 0 = 4*q - 98 + 82. Suppose -2*y + 42 = q*a, -6 + 3 = 2*y - 5*a. Calculate the lowest common multiple of y and z.
66
What is the common denominator of ((-4)/(-50)*5)/((-4)/(-106)) and 7 + 303/(-6) + 5 + -4?
10
Let n be ((-37)/(-2))/((-1)/(-22)). Suppose 1415 = 14*b + n. What is the smallest common multiple of 12 and b?
72
Let m = 28/11707 - 22269/585350. Find the common denominator of m and 109/12.
6900
Suppose -3*j - 178 = 1310. What is the common denominator of -26/119 and 2 + j/140*1?
595
Suppose -t - 4*n = -430, -4*t + 2101 - 417 = 4*n. What is the smallest common multiple of 304 and t?
3344
Let a be -3 + (-17 + 18 - 1285*1). What is the common denominator of 10/((a/(-24))/11) and -79/24?
312
Let w(n) = 56*n**2 + 391*n + 75. What is the least common multiple of w(-12) and 1149?
3447
Let s be (3 + (-36)/16)/((-24)/65). Let g = s + -599/288. Let m = 5964 - 65650/11. What is the common denominator of g and m?
99
Let o = 3132788491/1800 + -1740438. Find the common denominator of 83/1600 and o.
14400
Suppose 4*o - 30*c + 25*c - 22 = 0, 0 = c + 2. Find the common denominator of o/420*3*(-95)/(-6) and -24/49.
392
Let q = 3 - 3. Let b(j) = -j**3 + j**2 + j + 26. Let r be b(q). Suppose 5*c + r = 116. What is the least common multiple of c and 6?
18
Suppose 1849 = 3*c - 5*t, 5*c - t - 3025 = -4*t. What is the common denominator of (12/336)/(28/c) and 53/7?
49
Suppose 57 = q - 0*q. What is the least common multiple of (64008/5715)/((-7)