0). Let t = a + -676. Suppose 5*k - 3*d = 28, 0*d + 4*d - 48 = -4*k. What is the lowest common multiple of k and t?
24
Let s = 9574/3 + -1943594/609. Let c = s + 20/29. Let u(x) = -4*x**2 + 5*x - 9. What is the common denominator of c and u(3)?
7
Let r = -545037 + 497073659/912. What is the common denominator of 97/1254 and r?
10032
Let w(i) = 6*i + 21*i**2 - 12*i**2 - 8*i**2 - 107. What is the smallest common multiple of 5 and w(-14)?
5
Let o = 1251/28 - 192/7. Let q = -21/185 - 14119/1110. Find the common denominator of o and q.
12
Let d = 1702 - -2276. What is the least common multiple of 12 and d?
7956
Let n be (-398)/1028*13/(-10) - 2. Let p = -12/257 - n. Calculate the common denominator of 115/24 and p.
120
Let i = 276 - 271. Suppose 0 = 2*w + 2, w + i = 2*n + 4*w. Suppose 3 = -3*j + 24. What is the least common multiple of j and n?
28
What is the common denominator of (3 - 2)*2 + 4/(-6) and (-4)/26*-1 - 217581/606879?
171
Suppose 717 = 4*b - 3*p, 25*b - 24*b - p = 179. Calculate the least common multiple of 99 and b.
1980
What is the common denominator of 1/273 and 15/(-36)*((-33824)/(-2040))/(-14)?
27846
Let u = 1304520901/22 + -59306956. Let y = -10555 - u. Let o = 1561/186 + 86/31. Find the common denominator of o and y.
66
Find the common denominator of ((-952)/(-79883))/(1 + -3) and -22/381.
14097
Suppose -3522*w + 3495*w = -785808. What is the least common multiple of 7 and w?
203728
Find the common denominator of 3/7 and (2*2 - 196/70)/(18/260).
21
Suppose -g = -5*r - 291, -4*g - 237*r + 235*r = -1054. What is the lowest common multiple of g and 210?
3990
What is the common denominator of 92/465 and 4 - 24/14 - 8?
3255
What is the common denominator of -145/12 and ((-42)/(-399))/(112/1358)?
228
Let t = -101407/24 - -12641/3. What is the common denominator of ((-2)/4)/(1/11) and t?
8
Let u be 4912415/360 - 4/(-16). Let f = -13645 + u. Find the common denominator of f and 67/18.
72
Let p be ((-396)/(-20))/((3/3)/5). Let l = p + -199. What is the common denominator of 9/7 and 161/l + 135/108?
175
Let p = -2651 - -26631/10. Let w = -5332943399/1735890 - -2/867945. Let x = -3061 - w. Find the common denominator of p and x.
30
Let k(r) = 4*r**2 + 5*r - 7. Let h = -15 + 11. Let j be k(h). Let c = j - 4. What is the smallest common multiple of c and 15?
165
Let r = 13199/10 - 3958/3. Find the common denominator of r and -23/300.
300
Let y be 4 - ((-4)/2 - -4). Calculate the common denominator of (y/(-96))/(2/302) and 85/6.
48
Calculate the least common multiple of 2/((-6)/591)*-1 + 92/(-46) and 130.
390
Let m(p) = p**3 - 16*p**2 + 73*p - 10. Let y(b) = -b**2 - 15*b - 10. Calculate the lowest common multiple of m(9) and y(-13).
80
What is the common denominator of 47/355 and (141/6)/(75/(-30))?
355
Let l = -5/23511 + 697733/1128528. Find the common denominator of l and -137/108.
432
Let r(x) = x**2 + 19*x - 17. Let w be r(-20). Suppose -m = w*k - 385, 0*k + 5*m - 235 = -2*k. What is the smallest common multiple of 55 and k?
1430
Suppose -4*o = -2*l + 24, -4*o - 12 - 8 = 0. Suppose 0 = l*g - 0*g - 100. What is the lowest common multiple of 15 and g?
150
Let o be 7575/36*((-414)/15 - -4). Let a = o + 4977. Find the common denominator of a and 95/26.
78
Let u(r) = -88*r**3 - 4*r**2 - 3*r + 4. Let s be u(2). Let b = 740 + s. Calculate the lowest common multiple of b and (-3)/12 + (-242)/(-8).
90
Suppose 78*q = 11*q + 13486 + 1254. Calculate the lowest common multiple of 484 and q.
2420
Let v = 103349/263220 - 159/428. Find the common denominator of v and 67/12.
2460
Let c = 740088170189/4450 + -166311947. Let t = -30/89 + c. Calculate the common denominator of t and 49/30.
150
Suppose -135*c + 23549 - 1604 = 74*c. Calculate the least common multiple of 3290 and c.
9870
Let s = -647 + 1003. Let w = -338 + s. What is the lowest common multiple of 374 and w?
3366
Let o be (3/9*4)/((-6)/(-612)). Let v be ((-22146)/(-32))/(38/o). Let q = v - 2477. Calculate the common denominator of -109/18 and q.
684
Find the common denominator of 54/(-1746)*(3 + (-440)/(-144)) and -43/6.
582
Suppose -o = 4*h + h - 2892, o + 3*h - 2894 = 0. Let g = 23133/8 - o. Let z = 4345 - 8751/2. What is the common denominator of z and g?
8
What is the common denominator of (38/(-72))/(300/48) and -107/90?
450
Suppose 0*g + 2*g - 4 = 0. Suppose 0 = -3*t + 5*t - g. What is the common denominator of 258/(-56) + t/4 and -55/24?
168
Let w = 99979446418443312641/434481959804751322464 + 2957/4414747790327. Let k = -1/559182 - w. Find the common denominator of k and -1/10.
1760
Let q(j) = 11*j + 495. Calculate the lowest common multiple of q(-12) and 198.
2178
Let b = 1/323779 - -1755187/11656044. What is the common denominator of b and 56/171?
684
Suppose 5*i + 4*j = i - 276676, 3*j + 69179 = -i. Let x be i/4410 + 14/63. Let n = 150/49 + x. Calculate the common denominator of -73/6 and n.
30
Let d(l) = -l**2 + 19*l - 32. Let m be d(17). Let u(a) = 5*a**m - a**2 + a**3 - 2*a**2 - a**2 - 5 + 5*a. Calculate the least common multiple of u(2) and 6.
102
Let f = 2413/35375 + -51/283. What is the common denominator of f and 173/60?
1500
Let q = 129 - 89. Suppose -x = 4*x - q. Suppose -19*v = -15*v - x. What is the least common multiple of 2 and v?
2
Suppose -c = -4*b + 4, 2*c + 2*b - 8 = c. Calculate the least common multiple of ((-105)/6 - -10)*c/(-2) and 6.
30
Let h be 908348342/1608420 + 2/5. Let i = h - 18908857281/34176488. Let f = 1/5259 + i. What is the common denominator of 31/22 and f?
88
Let t(m) = m**3 + 6*m**2 - m + 4. Let f be -6 + (0 + 0)/(-3). Calculate the lowest common multiple of 816/340 - (-6)/10 and t(f).
30
Let w(y) = -3*y**2 + 25*y - 27. Let t be w(-12). Let d = t - -827. Calculate the least common multiple of 68 and d.
68
Let k(h) = -11*h - 492. Calculate the lowest common multiple of 279 and k(-45).
279
Let f be 49686/136 + 0 - (-9)/36. Let q = 37229/102 - f. Calculate the common denominator of q and -173/30.
510
Let o(d) = 5. Let v(u) = -6*u + 32. Let l(t) = 30*o(t) - 5*v(t). Let z be l(5). Suppose 2*c - z = -2*c. Find the common denominator of c and -149/18.
18
Suppose -283 + 91 = -3*x - 3*n, -3*x - 4*n = -190. Let p(q) = 2*q**3 - 20*q**2 - 108*q - 32. What is the least common multiple of x and p(14)?
264
Let b be -16 + 14 + 162681/(-14). Let c = b + 11616. Calculate the common denominator of (-98)/108*2 + 2/4 and c.
378
Suppose 0 = 19*s + 17 - 188. Let l(m) = m**2 - 6*m - 21. Calculate the smallest common multiple of 36 and l(s).
36
Suppose 36 = 10*z - 28*z. What is the common denominator of 9/5 and (-40)/(-15)*((-4)/48 - z)?
45
Let o be (0 + 23/3)*3. Suppose -3*r + 185 = 5*p, -r = 10*p - 13*p + 125. Suppose -p = -3*q + o. Calculate the lowest common multiple of q and 18.
126
Let c be 2097/6*804/52. Let h = c - 5405. What is the common denominator of h and 10/4*(-174)/(-40)?
104
Let g = 24380321/21471 - 1/42942. Let h(w) = 115*w + 13. Let l be h(10). Let t = g - l. Find the common denominator of -137/18 and t.
18
Let x = 573899/699912 + -5/9721. Let y = -3299 - -13271/4. Calculate the common denominator of y and x.
72
Let d be 5 + (-3 - -6) - -22. Let q(h) = -5*h + 161. What is the lowest common multiple of q(d) and 72?
792
Suppose -18*v + 27*v = -1305. Calculate the common denominator of 13/49 and (v/21 - -7)/((-4)/(-10)).
147
What is the common denominator of 35/(-7) - (4 - (-1086)/(-140)) and 1/3 + (-489)/(-126)?
70
Suppose 27*v = 21*v + 12. Let z(k) = 3*k + 5. Calculate the smallest common multiple of z(v) and 2.
22
Let o(l) = -101*l - 1992. What is the lowest common multiple of 196 and o(-20)?
196
Let d be (-1798)/(-1156)*(1 + -19 - -6). Let l = d - 2/867. Find the common denominator of l and 55/86.
258
Let r(b) = b**3 + 6*b**2 + 2. Let y(f) = -f**3 - f**2 - 6*f + 8. Let m = -146 + 146. What is the lowest common multiple of r(-5) and y(m)?
216
Suppose -4*t = -3*b - b + 56, -5*t = -3*b + 46. Suppose b = -3*c + 9*c. Suppose c*r - 1 = 3, -4*m - r = -18. What is the smallest common multiple of 13 and m?
52
Suppose 2*w = 4*a + 8, -2*a = -0*a + 2. Suppose -5*v - 19 + 5 = 3*t, 3*v - w*t = 3. What is the least common multiple of 2/(v*(1 - 2)) and 4?
4
Let v = -491269751605/252 - -1949485777. Let u = -7907/3 + v. Let r = -5/28 - u. Find the common denominator 