3192
Suppose -29*a = 27 - 230. Suppose 4*j + a*y - 81 = 6*y, -2*y + 22 = j. What is the smallest common multiple of j and 48?
240
Let r = 20199/2 - 12101. Let p = -2039 - r. What is the common denominator of p and -5 + (1594/336 - 9/(-24))?
42
Find the common denominator of 47/12 and (((-6831)/572)/27)/(-5).
780
Suppose -o - 4*o + 370 = 0. Suppose 86 + o = 8*z. What is the least common multiple of z and ((-7)/(105/(-9)))/(2/60)?
180
Suppose -8*i = -9*i - 240. Find the common denominator of (6/i)/(8/(-285)) and 79/40.
320
Suppose -8*r + 236 = -7*r. Let u = r - 227. Calculate the lowest common multiple of u and 9.
9
Let y(x) = -24*x + 113. Let z be y(-7). Let u be (-1458)/(-7)*7/(-5). Let b = u + z. What is the common denominator of 47 and b?
5
Let h = 242 + -240. What is the common denominator of 49/15 and ((-1095)/(-162) - h) + 10/(-2)?
270
Suppose 6*o + 386 = 494. Suppose -5 = -z - t, 0 = 5*z - 2*z - 2*t. Calculate the smallest common multiple of o and z.
18
Find the common denominator of 3432/(-10816)*(-3)/(-78)*-1 and -8/5.
13520
Let i(d) = d**3 - d**2 - 4*d + 2. What is the least common multiple of i(3) and ((-32)/(-6))/((518/(-13986))/(4/(-18)))?
32
Suppose 0 = -3*u + 2*w + 388, -45*w = -4*u - 41*w + 524. What is the lowest common multiple of 525 and u?
3150
Let p be 58952/(-108119) - 402/(-737). Let z = p + -668426/265383. Calculate the common denominator of z and (22/(-72))/(1/(-39)).
108
Let t(j) = 4*j + 38 + 14 - 6*j. Suppose -2*g + 91 = -3*q, g = -3*q + 36 + 23. What is the lowest common multiple of t(18) and g?
400
Suppose 3*x - 183 - 1377 = 0. Suppose 8*r = 18*r - x. Suppose -23 = -5*m + r. What is the least common multiple of 18 and m?
90
Let u(p) = 27*p**2 - 55*p + 106. Suppose 182 = 5*y - 208. Calculate the least common multiple of u(2) and y.
312
Let k(a) = 2*a**2 + 20*a - 29. Let t be k(-15). Let h = t + -109. Let o = 34 + 10. What is the least common multiple of h and o?
132
What is the common denominator of 77740/(-197100) + 5/50*4 and 56/2409?
21681
Suppose -17 = -3*g + 7. Suppose a + g = 6. Calculate the common denominator of (a/(-12))/(169/(-55) - -3) and 58/3.
24
Let p = 23295 - 23285. Calculate the least common multiple of p and 2399.
23990
Calculate the smallest common multiple of 3*(-143)/(-66) + (-8)/(48/27) and ((-23)/(-2) + 1)*2.
50
Let l = -49 + 30. Let z be (7 + l/3)/((-2)/24). What is the common denominator of (1 - (-11)/z)/(6/404) and -11/26?
52
Let f(j) = -j**3 - 11*j**2 - 32*j - 1. What is the least common multiple of f(-7) and 10974?
98766
Suppose -45*c - 24876 = -25011. Calculate the least common multiple of c and 2179.
6537
Let x be 6 + -3 - (-1090)/(-16). Let w = -311/4 - x. What is the common denominator of w and 31/96?
96
Let o = 27 + -27. Suppose o = 3*d + 5 - 2. Let n(m) = -8*m - 2. Calculate the smallest common multiple of 5 and n(d).
30
Suppose 5*s - 10 = 0, -2*s = -a + 155 + 153. Let o = -310 + a. Calculate the lowest common multiple of 152 and o.
152
Let w(v) = v**2 + v + 44. Let m be w(0). Let l = m + -40. What is the smallest common multiple of l and 10?
20
What is the lowest common multiple of ((-133)/21 + 7)/(2/60) and 815?
3260
Let m = 1248272 - 15548475961/12456. Calculate the common denominator of 17/20 and m.
62280
Suppose 0 = 4*f + 3*l + 562, 3*f - 6*l + 436 = -l. Let p be -4 - 1/2*f. Let q = -34 + p. Calculate the smallest common multiple of q and 15.
165
Let k(y) = -3*y**2 + 20*y - 13. Let s be k(6). What is the common denominator of s/1 + 1666/816 and 19/112?
336
Let h(w) = 248*w**2 + 6*w - 14. Calculate the least common multiple of h(2) and 45.
990
Let q be (-546)/(-126) + 2/3. Let u(k) = 7*k**2 + 5*k - 24. Calculate the smallest common multiple of 160 and u(q).
1760
Let b = 220 + -3521/16. Let q = -1747319/68 + 25696. What is the common denominator of q and b?
272
Suppose -y = -3*k - 18, k + 3*y + 6 = -10. Let m(v) = v**3 + 7*v**2 - 10*v + 30. What is the smallest common multiple of 50 and m(k)?
100
Let m(t) = t**3 + 32*t**2 + 139*t + 218. Calculate the lowest common multiple of m(-27) and 23.
2530
Let y = 6644509/72216 - 6257/68. Calculate the common denominator of y and -8/11.
46728
Let v = 737/23 + -59539/1932. What is the common denominator of v and (118/480)/((-1241)/(-4964))?
420
Let r be (-648)/20 - 9/15. Let y(k) = -k**2 - 32*k + 81. What is the lowest common multiple of y(r) and 132?
528
Calculate the common denominator of 133/264 and (-120)/297*(-8)/(-1740)*9.
7656
Let m be 2207032/(-44) - 4/22. Let c = m - -201647/4. Let v = c + -249. What is the common denominator of -119/24 and v?
24
Suppose 62*r - 141 = -17. Suppose 5*s - 4 = -3*m, -r*m - 4*s = m - 8. Calculate the smallest common multiple of m and 20.
40
Let l = -4905 - -274643/56. Calculate the common denominator of l and 2*55/64*1.
224
Let u = -4777/84 - -635/12. What is the common denominator of 31/555 and u?
3885
Let f(p) = 45*p - 1166. Calculate the smallest common multiple of 966 and f(26).
1932
Suppose -5*f + 3*p - 269 = 0, 0 = f - 2*p + 22 + 36. Let i = f + 32. Let x = -863/2 - -417. What is the common denominator of i and x?
2
Let h(j) = -j**2 + 116*j - 945. Calculate the smallest common multiple of h(107) and 138.
414
Let v = 623 - 637. What is the smallest common multiple of 163/2 + 7/v + -1 and 30?
240
Suppose -116 = 5*n - 101. Calculate the common denominator of -1 + n - 498/(-24) and 25/56.
56
Let s(r) = 19*r - 3*r**3 + 3*r**3 - r**3 + 47 + 9*r**2 - 12*r - 18*r. What is the smallest common multiple of s(7) and 1?
68
Let q = -6 + 8. Let w = 104 + -91. Suppose -w - q = -5*g. What is the smallest common multiple of g and 33?
33
Let z = 2106701/364126 + 2/26009. Calculate the common denominator of 41/155 and z.
2170
Calculate the common denominator of -1 + (2 - -1) + 8024/(-374) + 20 and 77/345.
3795
Let t = 396 + -627. Let n = t - -13166/57. Find the common denominator of 145/24 and n.
456
Calculate the smallest common multiple of 3 and ((-2864)/(-12))/((-4)/(-6)) + -6.
1056
Let o = 243 + -528. Let h = o - -291. Suppose 0 = -4*p + 129 - 9. What is the lowest common multiple of h and p?
30
Find the common denominator of -44/351 and (2/(-24))/(54624/(-6208) + 45/5).
702
Let a(v) = -v**2 - 7*v - 5. Let m be a(-5). Suppose m*q + 3*s = 3805, 4*q - 5*s = 1722 + 1285. Calculate the smallest common multiple of q and 8.
3032
Let w be (-411)/(-3) + 1 + (-40)/10. Find the common denominator of -65/9 and (-23)/(-23) - w/4.
18
Suppose -287 - 329 = -4*u - 4*c, 774 = 5*u + 4*c. Suppose -u = -4*l - 0*f + f, -5*l + 5*f + 190 = 0. Calculate the smallest common multiple of 24 and l.
120
Let a(h) = -2*h**2 + 104*h - 934. Calculate the least common multiple of a(32) and 2422.
2422
Suppose -182 = -2*b + 6*b + 2*p, -4*b + 3*p = 187. What is the common denominator of -31/9 and b/((176/8)/1)?
99
Let m = 6255 + -5139. Calculate the smallest common multiple of m and 1116.
1116
Let l(o) = 67*o + 3532. What is the smallest common multiple of l(8) and 72?
8136
What is the common denominator of (-56)/(-1248)*(-7011)/38 - 2/(-13) and -19/86?
344
Let k = -68869/16 - -4303. Calculate the common denominator of k and -79/304.
304
Calculate the common denominator of (-6564)/20664*3 + (-1 - -2) and -109/20.
5740
Let c(j) = 17*j - 11. Let k be c(1). Suppose -k*y = -94 - 98. Calculate the lowest common multiple of y and 4.
32
Suppose o - a - 93 = -3*a, 493 = 5*o - 4*a. Let l = -701/8 + o. Calculate the common denominator of 101/2 and l.
8
Let i = 22 - 16. Let q = i - 4. What is the common denominator of 23/(-4) + 5/(-10)*q and -23/10?
20
Let b = 970 + -952. Let s(o) = o**3 - 5*o**2 - o - 6. Let i be s(5). Let c = i - -25. What is the smallest common multiple of c and b?
126
What is the lowest common multiple of (-2)/(-14) - ((-5599358)/259)/34 and 18?
1908
Let l be -7 - 3824/(-24) - (-2)/(-6). Find the common denominator of 49/27 and ((l/(-54))/(-2))/(11/(-33)).
27
What is the common denominator of 115/275 - (-12)/30 and 63/115?
1265
Let h = -38 - 230. Let n = h + 310. What is the least common multiple of 13 and n?
546
Let h be (4 + (-3)/3)*(-106)/(-6). Let p = -107 + h. What is the lowest common multiple of (-822)/p + (-4)/18 and 30?
30
Suppose 5*m - p - 7 = 31, -3*m + 32 = 4*p. Suppose 99*o - 116*o = -544. Suppose -160 = -m*s - o. What is t