
10000
What is the common denominator of -6*5126/(-10440) - 3 and 49/36?
5220
Let o = 43 - 19. Let x(w) = 3*w**3 + 25*w**2 + 17*w + 132. What is the least common multiple of x(-8) and o?
120
What is the smallest common multiple of (2406/2)/(114/380) and 8?
16040
Suppose 0 = 4*g - 3*g + 3*o + 9, 0 = 3*g + o + 11. Let v = g - -21. Suppose 5*x + 70 = 4*k - 6, 4*k = 4*x + 72. Calculate the lowest common multiple of k and v.
126
Let t(z) = z**3 - 8*z**2 + 8*z - 3. Let g be t(7). Let i be (1 - g/3) + 151/3. Let m = 79 - i. What is the smallest common multiple of m and 8?
232
Let j(m) = -m**3 + 61*m**2 + 250*m - 16. Let u be (-4 - -7) + 1 + 0. Suppose u*k + 27 = 187. Calculate the least common multiple of k and j(-4).
120
Let l(x) = x**3 + 125*x**2 - 53*x - 3031. Calculate the least common multiple of l(-125) and 28.
50316
Let t = 375 - 3436/9. Let f = -204 + 186. What is the common denominator of t and -15 + ((-2)/f)/((-4)/12)?
9
Let i be ((-4)/(-10))/(2/25). Suppose -3*s - 96 = -i*k, -4*s + 7 = -5. Calculate the lowest common multiple of k and 39.
273
Suppose 0 = -3*l + 4*l, 0 = 2*p - 3*l + 2*l - 112. Calculate the least common multiple of p and 16.
112
Let w = 18177 - 15468. What is the lowest common multiple of w and 1161?
8127
Let b = -118126 + 27641395/234. Find the common denominator of 109/26 and b.
234
Calculate the common denominator of -87/248 and 5 + 1505/440*-2.
2728
Let b = -1052 - -6365/6. Find the common denominator of b and -61/228.
228
Let g = 47 - 40. Suppose -u = -g*u - 24. Find the common denominator of ((-19)/5 - u)*355/4 and -49.
4
Suppose -2*c + 32 = j, 0 = 5*c - c + 4*j - 64. Let m be (25/15 - 1)/(4/6). Calculate the lowest common multiple of (7/3)/((-3)/(-18)*m) and c.
112
Let q = 25193/6 - 4215. Let t = 378/53 - 9027/530. Find the common denominator of t and q.
30
Suppose 72 = 25*t - t. Suppose -t*l + 6*g + 44 = 5*g, -5*l + 80 = -3*g. Calculate the smallest common multiple of 12 and l.
156
Suppose 0 = -3*u - 3*f - 21, -5*u + 1025*f + 64 = 1021*f. What is the lowest common multiple of u and 6/1*(-136)/(-6)?
136
Suppose 20 = -5*x, 6*x - 11*x - 28 = -g. What is the smallest common multiple of g and 6042?
24168
Suppose 4*f + 10 = -2, -2*i + 2*f = -22. Let t be (-9)/(-6)*(i + -6). Calculate the common denominator of -31/4 and t*5/40*9.
8
Let m(j) = -23*j + 60. Let q be m(8). Calculate the common denominator of (5/436)/((-6)/156) and q/10*(-48)/64.
1090
Suppose 53*c = 33*c + 340. Calculate the common denominator of (c/204)/((-11)/(-316)) and 73/15.
165
Let b(h) be the second derivative of 2*h**3/3 + 127*h**2/2 + 61*h. What is the least common multiple of 16 and b(-30)?
112
Suppose -4*d = -4*f + 16 + 24, -7*f + d = -46. Calculate the lowest common multiple of 2040 and f.
2040
Let k(a) be the third derivative of a**4/24 + 3*a**3 - 6*a**2. Let b be k(-17). What is the least common multiple of 2 and 18 - (4 - 2/b)?
16
Suppose 3*w + 1331 = 455. Calculate the common denominator of -10/77 and -6 - 5/(315/w).
693
Let u be (-9)/12*(9 - 5). Suppose 3 = -4*y - 1, -4*l = 4*y + 20. What is the smallest common multiple of u + ((-32)/l)/2 and 10?
10
Let l(r) = 277*r + 10. Let b be l(1). Let u = -271 + b. What is the least common multiple of u and 8?
16
Let t(x) = -1863*x - 32. Let u be t(2). Let o = u + 30117/8. What is the common denominator of -22/27 and o?
216
Suppose -128*j = -4*f - 124*j + 1052, -5*f + 1343 = 2*j. What is the lowest common multiple of f and 267?
267
Let r = -15 + 23. Calculate the common denominator of (3/(-9))/((-30)/(-243)) and (-146)/24 + (r - 11).
60
Let r = 1755/2 + -848. Let f(w) = -4*w + 28. Let c be f(7). Calculate the common denominator of (-88)/(-592) - (c + -1) and r.
74
Let m = 8 - -10. Let z = -4636 - -46287/10. What is the common denominator of (-25)/(-9) + -3 + (-311)/m and z?
10
What is the common denominator of -1 - (-2 - 6) - (-15465)/(-2214) and 97/246?
738
Calculate the common denominator of 150/(-60)*56/110*1 and 43/88.
88
Let k = 5152 - 46433/9. Find the common denominator of -79/946 and k.
8514
Let w(f) = -f**3 + 5*f**2 - 17*f - 44. Calculate the smallest common multiple of w(-2) and 4670.
42030
Suppose -5*g + 255 = 2*k + 245, -3*k - 2*g + 48 = 0. Calculate the smallest common multiple of k and 84.
420
Let a(c) = c**3 + 15*c**2 + 36*c - 16. Let j(y) = -y**3 - 67*y**2 + 65*y - 182. Calculate the smallest common multiple of j(-68) and a(-11).
792
Let k(l) = -2*l - 5. Let b(c) = -5*c - 14. Let h(f) = -2*b(f) + 7*k(f). What is the least common multiple of (12 - 11)/(2/20) and h(-6)?
170
Calculate the common denominator of -79/5301 and (-322)/24*450/315.
10602
Let i = -546/71 + 44285/6248. Calculate the common denominator of i and 43/121.
968
Let m(i) = -3*i + 38. Let w be m(21). Let r = 9 + -4. Calculate the lowest common multiple of 10/w - (-216)/15 and r.
70
Suppose 66*n + 3087 = 9687. What is the least common multiple of 870 and n?
8700
Suppose 115*j = 130673 - 608. What is the lowest common multiple of 261 and j?
3393
Let x = -47 + 177. Let u(b) = b**2 + 5*b + 6. Calculate the smallest common multiple of u(-5) and x.
390
Let x = 1 + 3. Let q(d) = d**2 + 6*d - 9. Calculate the lowest common multiple of q(x) and 6.
186
Let p = 315 + -313. Let t be (-4)/(-2) - (-9 + 126). Calculate the smallest common multiple of 8 and 1 + 1/(-2) - t/p.
232
Let g(v) = -15*v + 6. Let f be g(-2). Let a be (f/(-3) - -4)/(-2). Suppose -6*w + a*w + 44 = 0. What is the least common multiple of w and 36?
396
Let j(r) = 10*r - 86. Let o be j(15). Let s = o - 58. What is the lowest common multiple of 6 and s?
6
Let w = 5281 - 4741. What is the smallest common multiple of w and 165?
5940
Let c(d) = d**2 + 2*d + 23. Let o(r) = 68*r + 147. What is the smallest common multiple of c(-7) and o(-2)?
638
Let c = 62 - 44. Let t = -9 + c. What is the least common multiple of 2/11 - 656/(-22) and t?
90
Suppose -m = -4*r - 24, 0 = m - 4*m - 2*r + 2. Suppose -m*q = -126 - 26. Calculate the lowest common multiple of (45/12)/((-3)/(-8)) and q.
190
Suppose 0 = 6*m - 8*m - 5*t + 684, 5*t = -4*m + 1398. What is the smallest common multiple of m and 833?
2499
What is the common denominator of (8/(-42))/(148/518)*18/2136 and 39/16 - (2 - 0)?
1424
Calculate the common denominator of -5/33 and 3/6 - -471*65/(-59202).
759
Let o = -717 - -497. Find the common denominator of 76*(-3 + o/(-75)) and -59/12.
60
Let r = 4227255705/4054 - 1042737. What is the common denominator of 149/12 and r?
24324
Find the common denominator of (-4048)/(-2728)*(-1)/(-3) and 18/217.
651
Calculate the lowest common multiple of 2643 and (-10)/(-5 - -10) + -17 + 31.
10572
Suppose 0 = 2*z + 4*x - 44, 3*x = 6*z - 5*z - 37. Calculate the common denominator of 1 + 1 + z/24*-22 and 62/21.
21
Suppose 0 = -3*s - 18 + 78. Let l(a) = 2*a**3 - 11*a**2 + 11*a - 8. Suppose -10*c = -5*c - 25. What is the least common multiple of s and l(c)?
220
Let a be 55*(-13)/((-195)/36). What is the common denominator of (-933)/a + (-4)/22 and (-65)/(-104)*44/(-47)?
188
Suppose -5*r - 4*k = -28, -4*r + k = -3*k - 8. Suppose 5*o - 14 = r*o. What is the common denominator of o and (2/(-6))/((-2)/(-136))?
3
Let p = 38 + -27. Suppose -201 = -5*q - p. Let f = q + -24. Calculate the lowest common multiple of f and 8.
56
Let j be (12928/(-2586) + 5/1)*9. Let f be (4/(31032/10882))/(-6). Let x = f - j. Find the common denominator of x and 89/16.
432
What is the common denominator of -2 + ((-178)/12 - -1) and 8331/22770 + (-482)/27715?
66
Let y = 1148153697/10 - 952393505216/8295. Let a = y - -585/553. Calculate the common denominator of -119/12 and a.
420
Let p(s) be the second derivative of -s**5/20 - s**4/2 - 4*s**3/3 - 3*s**2 + 57*s. What is the least common multiple of 10 and p(-5)?
90
Let o = -89 - -95. Suppose o*c = -3*i + 3*c + 33, 2*c + 5 = i. What is the common denominator of 3/i + 0 + (-805)/(-600) and 63/8?
40
Let n = -1/2206 - -33097/15442. Let f = 43371/1957 + -422/19. Find the common denominator of n and f.
721
Let l(n) = 5*n + 52. Let r be l(-8). Calculate the common denominator of ((-165)/286)/(r/(-11)) - 1 and 17/39.
312
Suppose 0 = -3*f + 2*c + 673 + 501, -9*f + 3*c + 3525 = 0. What is the lowest common multiple of 10 and f?
1960
Let c be -2 + 8 - 166208/80. Let q be (-20780)/(-8)*8/(-10