et g = -78233 + 78267. Calculate the lowest common multiple of a(5) and g.
170
Let h(f) = f**2 + 14*f + 22. Let k be h(-14). Let s = -20 + k. Suppose -53 - 21 = s*g. What is the common denominator of g and 1/4?
4
Let g(d) = -d**3 + 3*d**2 + 6*d - 8. Let a be g(4). Suppose -5*n - 5*x + 0*x - 35 = a, 2*x = 0. Find the common denominator of -137/6 and 2*(490/15)/n.
6
Let h = 669 + -720. Let s(y) = y**3 + 50*y**2 - 49*y + 129. Calculate the smallest common multiple of s(h) and 243.
243
Let f = -345 - -323. Let b be 346/(-14) + (-4)/14. Let c = f - b. Calculate the smallest common multiple of 3 and c.
3
Let c = -4/19717 - -1873803/3391324. Let a = 29/6 + -241/12. Find the common denominator of c and a.
172
Let d be 69/4*(-4760)/(-105). Let h = d + -764. What is the least common multiple of h and 144?
144
Let v(q) = -q**2 + 9*q - 4. Let l be v(11). Let n = -183 - -317. Calculate the smallest common multiple of 27/2 + (-13)/l and n.
938
Suppose -240*q + 239*q = -4. Let r(b) = b**3 - 6*b**2 + 12*b + 6. What is the least common multiple of 24 and r(q)?
264
Let x be (838453/182 - 5) + -5. Let w = -4600 + x. What is the common denominator of -29/42 and w?
546
Let r = 7 + -6. Let f be (-4 - (-40)/(-12))*21. Find the common denominator of -61/12 and (4/(-30))/(r - f/(-162)).
60
Let v be (-3)/7 - (-46475)/(-216790)*-2. Let n = v + 165397/260148. Find the common denominator of 121/12 and n.
228
Let b(a) = -a + 25. Let x be b(21). Let j = x - 8. Let s(l) = -l**3 - 2*l**2 + 6*l + 1. Calculate the lowest common multiple of s(j) and 9.
9
Suppose 2557 = -2*y - 3*y + d, -2*d - 507 = y. Let h = y - -577. What is the smallest common multiple of 66 and h?
66
Let g be 4 - 4 - (3 - 5). Suppose 3*p = -4*o - g*p + 58, -p - 10 = -o. Suppose -14*u + o*u = -14. What is the lowest common multiple of 19 and u?
133
Suppose 4*l - 11*l = 0. Suppose l = -7*q + 11 + 24. Let n(m) = -m**2 + 2*m + 38. Calculate the least common multiple of q and n(7).
15
Suppose 39*w + 1040 = -87*w + 20192. What is the smallest common multiple of 1995 and w?
15960
Let o(h) = 9*h**2 - 4*h - 3. What is the least common multiple of ((-8)/64 - 4/(-32)) + 18 and o(-3)?
90
Let d be (550/40)/(-11) - 378/(-8). Let y = d + -31. What is the least common multiple of 15 and y?
15
Let v = 6625 - 6196. Calculate the lowest common multiple of 13 and v.
429
Let j = -7295 - -7319. What is the smallest common multiple of 8 and j?
24
Let w(x) = 22*x + 69. Let o(i) = i**3 + 3*i**2 + 5*i + 3. Let k be o(0). What is the least common multiple of w(k) and 45?
135
Suppose 2*q = 3*m + 610, q - 166 - 153 = 5*m. What is the smallest common multiple of 115 and q?
1495
Let a = 6491303/72 + -90158. Let g = -99019/115 - -861. Let o = 797/230 - g. Calculate the common denominator of a and o.
72
Let k = -866 - -871. Suppose 456 = 9*q - k*q. What is the least common multiple of q and 133?
798
Let c = 879 + -1431. Suppose 0 = -9*a + 1305 - 1287. What is the common denominator of 2316/c - (-2 - -1)*a and 59/14?
322
Let i = 1 - -8. Let r = 70 - 7. Let n = r + -36. Calculate the smallest common multiple of n and i.
27
Let m = 297924 + -297896. What is the smallest common multiple of 3/(1/(24/2)) and m?
252
Suppose 0 = 4*d - 5*w - 53, -3*d + 9 = 2*w - 2. Let j(a) = a**2 - 8*a + 2. Let m be j(d). What is the lowest common multiple of 7 and ((-2)/m)/(10/350)?
14
Suppose -79*z + 3*z + 1444 = 0. What is the least common multiple of 228 and z?
228
Let w = -42257/159740 + 2/7987. Let p = -13127 + 157421/12. Find the common denominator of w and p.
420
Suppose 10*g + 1015 = 1645. Calculate the smallest common multiple of 287 and g.
2583
Let r = 8959/7728 + 132/161. Find the common denominator of r and 113/6.
48
Let o(u) = 8*u - 20. Let f(b) = -b + 1. Let q(p) = -10*f(p) - 2*o(p). Let z be q(7). Calculate the common denominator of 13/12 and ((-284)/(-20) - -6)*(-10)/z.
12
Let i(w) = w**3 + 7*w**2 + 91*w + 673. Calculate the lowest common multiple of i(-7) and 1992.
5976
Suppose 4*n + 20 = 0, -4*j - 5*n = -n + 8. Suppose -4*i = -4*l + 92, j*i = -3*l - 31 + 112. Let o = 26 - l. What is the lowest common multiple of o and 3?
3
Let c(f) = f**2 - 14*f - 23. Let d be c(16). Suppose 10*q = d*q. Suppose q = 2*y - 5*o - 7, -4*o = -5*y + 4 + 5. What is the lowest common multiple of y and 11?
11
Suppose 6*w - 1978 = 2072. Let y = -667 + w. What is the smallest common multiple of y and 228?
456
Suppose -5*p + 14 = 114. Let v = 24 + p. Suppose 4*x + 9*g = 4*g + 116, 2*g - 128 = -v*x. Find the common denominator of x and -59/9.
9
Suppose -10*o + 16 = -13*o - 2*x, 4 = -2*o - 3*x. Let v(d) = -8*d - 8. Calculate the lowest common multiple of v(o) and 2.
56
Suppose 10924 - 2940 = -2*l. Let q = l + 63969/16. What is the common denominator of 9*(-18*9/(-936) + 0) and q?
208
Suppose -3523 = -2*z - 3*k, 0*k - 45 = 9*k. What is the least common multiple of z and 122?
3538
Let t(y) = -y**2 - 116*y - 1122. What is the smallest common multiple of t(-12) and 54?
378
What is the least common multiple of 700 and (-28)/42 + 302/3?
700
Let u = 844 - -260. Suppose 0 = -21*n + u - 222. Calculate the lowest common multiple of n and 42.
42
Suppose -p + 128 = 141*n - 138*n, 2*n = -p + 86. What is the least common multiple of 170 and n?
3570
Suppose 7*l - 69 = -13. Calculate the smallest common multiple of l and 1/(3/2*(-28)/(-9492)).
904
Let a(h) = -h**2 - 4*h. Let b be a(-2). Suppose -4*y + 3*y = -3. Suppose -y*l + 35 = -b*q, -2*q = 6 - 2. Calculate the least common multiple of l and 17.
153
Let z be (-22646734)/420 + (-20)/35. Let m = -53927 - z. Calculate the common denominator of m and 69/40.
120
Let r = 2848 + -17015/6. Let f = -37/2054 + -32/79. What is the common denominator of f and r?
78
Find the common denominator of 143/222 and 1 + -1 + (-1810)/(-7783).
9546
Let x = 1727876 - 86298409/50. Let h = x + -1908. Calculate the common denominator of h and 83/20.
100
Let x = -3398 - -3916. Calculate the lowest common multiple of x and 592.
4144
Calculate the common denominator of -81/3280 and -18*(-3 + (-147645)/(-49200)).
3280
Suppose w = 4*g - 22, 13*w + 19 = 15*w + g. Calculate the least common multiple of 390 and w.
390
Suppose -21*f = -6*f - 45. Suppose f*j - 8*j = -240. Let z = 13 - -9. What is the smallest common multiple of z and j?
528
Suppose -39*d + 74973 + 5801 = 19778. Calculate the least common multiple of 204 and d.
4692
Suppose 0 = 3*p - 9 - 3. Calculate the smallest common multiple of (-2470)/285*12/(-26) and p.
4
Let x be ((-2)/3)/((-3)/(-9) + 0). Let j(y) = -6*y**3 - 2*y**2 + 2*y - 2. Let p be j(x). Let c = 45 - p. What is the least common multiple of c and 9?
99
Let r(f) = -7*f**3 + 16*f**2 + 20*f - 46. Let w(c) = c**3 + c**2 + c - 2. Let t(l) = r(l) + 6*w(l). What is the least common multiple of t(23) and 24?
264
Let t be 2/(-6) + 3998709/11996046. Let j = t + 973345841/1110745. Let l = 875 - j. What is the common denominator of 7/12 and l?
60
Suppose -12 = 3*t, 4*t - 344 = -21*j + 16*j. Calculate the lowest common multiple of j and 18.
72
Suppose 59 = -5*i + 3*p, p - 38 - 5 = 4*i. Let k be (i/3)/(-1 - 3056/(-3054)). Let z = 61127/12 + k. Calculate the common denominator of z and -61/44.
132
Let u = -1120 + 1674. Suppose 5*y + 156 = -u. Find the common denominator of y/28 + (-6 - -3) + 3 and -29/8.
56
What is the common denominator of (-324)/128 - (18/(-1) + 14) and 70/87?
2784
Let k(m) = 213*m - 74. Let f be k(4). Let p = f + -9317/12. What is the common denominator of 55/24 and p?
24
Let w = -348325/66 - -5278. What is the common denominator of w and -52/1507?
9042
Suppose 0 = 3*n - 3*t - 9, 3*t - t = 4*n - 10. Let u = 247 + -247. Suppose -5*c + 401 + 299 = u. What is the least common multiple of c and n?
140
Let h be (32 + 10)/(4/26). Let w = h + -243. Calculate the smallest common multiple of w and 48.
240
Let t = -165 - -301. Let y = t + -131. What is the least common multiple of 40 and y?
40
Suppose -f - y = -811, -11*y = -14*y - 6. Let z = f + -251. Calculate the smallest common multiple of 10 and z.
2810
Calculate the common denominator of 151/150 and 46/14*714/(-2448).
600
Calculate the common denominator of -25/8701 and (1576757/11074)/(-13) + 11.
17402
What is the lowest common multiple of 1408/20 + (-256)/(-160) and 24?
72
Suppose 0 = -14*o + 