f f and 28/1209?
6045
What is the common denominator of 11/101 and (-638)/(-101) - 1/(11 + (-260)/24)?
101
Let k(x) = 265*x + 10. Let j be k(-5). Let s = 805 - j. What is the lowest common multiple of 4/(-14) - s/(-70) and 24?
120
Suppose 5*o - 13 + 3 = 0. Suppose -r + o*l + 8 = r, 8 = r - 2*l. Suppose r*s + 10 = 2*s. Calculate the least common multiple of 10 and s.
10
Suppose -4*n - 794 = -w, -3938 = -7*w + 2*w + 4*n. Let h be -2 + 0 + (-12442)/w. Let c = -1/262 + h. Find the common denominator of -103/38 and c.
114
Suppose 1048 = -7*i - 233. Let g = i + 210. What is the smallest common multiple of g and 21?
189
Suppose -43*d = -40*d - 9. Let x(z) = -174*z + 24. Let w be x(4). Find the common denominator of 1 + d - (-1168)/w and -67/30.
210
Suppose -6*f = 27*f - 17820. Calculate the lowest common multiple of f and 90.
540
Suppose 2524 = 18*x + 55*x - 396. Let u = -47 + 91. Calculate the lowest common multiple of u and x.
440
Let v be ((-8)/10)/((-32)/(-400)). Let f be (-5)/30 - (-26)/12. What is the common denominator of (-3 - 75/v) + f and -58/3?
6
Let h(n) = n**2 - 4*n - 8. Calculate the lowest common multiple of h(8) and (-6 - 1) + (-785)/471*(-306)/10.
264
Suppose -3*a = 4*p + 106 - 401, 5*a - 4*p - 449 = 0. Find the common denominator of 77/8 and (a/(-132))/(77/(-28) - -3).
88
Let z = 234003 - -224873. Let a be (((-6)/(-2))/(-45))/((-2)/z). Let u = a - 15290. What is the common denominator of u and 85/8?
120
Let d = -2191/8 - -2377/8. Find the common denominator of 35/82 and d.
164
Suppose 4*v - 993*r + 991*r - 4680 = 0, -4*v - 4*r = -4680. Calculate the smallest common multiple of 936 and v.
4680
Let c = 39 - 15. Let s be (4 + -5)/(-1) + 9. What is the least common multiple of (c/s)/(2/15) and 12?
36
Let m(j) = 8*j**2 + 8*j + 4. Let d(i) = -i**2 - 22*i - 43. Let l be d(-20). What is the lowest common multiple of 30 and m(l)?
780
Let n(y) = y**2 - 41*y - 81. Let o be n(44). Suppose 4*g = 5*t + 11 + 30, 3*g - o = -3*t. What is the lowest common multiple of g and 1458?
10206
Calculate the common denominator of (8/(-3))/((5326/(-6))/(2/3)) and -46/15.
39945
Let y = 68 - 82. Let a = y + 6. Let b = a - -14. Calculate the smallest common multiple of 10 and b.
30
Let u(c) = -c**3 - 14*c**2 + 33*c + 12. Let m be u(-16). What is the least common multiple of m/(-6)*(-27)/(-2) and 2?
18
Let o(v) be the second derivative of v**5/4 + v**4/4 + v**3/6 - 3*v**2/2 - v + 48. Calculate the least common multiple of 21 and o(1).
42
Suppose 108 = 111*u - 102*u. Let h = -446 + 1162. What is the least common multiple of h and u?
2148
Let y = -370/1891 - 127519/15128. Let f = 17091/120020 - -9/2824. Find the common denominator of y and f.
680
Let i = 252 + -158. Let w = -82 + i. Calculate the smallest common multiple of 12 and w.
12
Suppose 5*h - m = -732, -8*m + 6*m - 142 = h. Let k = -321/2 - h. Calculate the common denominator of k and 88/(-30) + (-2)/(-4).
30
Calculate the smallest common multiple of 636 and (315/42 + -8)/((-1)/14).
4452
Suppose 5*s + 5 = 0, -5*j - 2*s - 94 = -2. Let l be 3/j - 8690/24. Let r = l - -364. Find the common denominator of r and 61/6.
12
Let d = -12889254163/888 - -14514929. Let b = -3746/3 - -46192/37. Let g = d - b. Calculate the common denominator of 31/7 and g.
56
Suppose 0 = -8*q - 5420 + 844. What is the common denominator of 923/q + (-2)/8 + 1 and 11/48?
528
What is the common denominator of (-1)/4 - -1 - (-4413)/(-6156) and 131/54?
1026
Let g = 12 + 2. Suppose 38579 = 127*d - 35335. Calculate the smallest common multiple of g and d.
4074
Let x = 322/121 - 784279/484. Let a = -1599 - x. Suppose 0 = -580077*j + 580112*j - 245. What is the common denominator of a and j?
4
Let h = -5825 + 203844/35. Let u = 3320/11571 - 2/1653. What is the common denominator of u and h?
35
Suppose 42*m - 81*m = -49*m + 150. Calculate the smallest common multiple of m and 237.
1185
Let f = 420661/6451800 - 38/10753. Find the common denominator of f and -59/88.
6600
Find the common denominator of 1/364 and ((-2)/4 + -1)*(-5203)/(-43043).
364
Let h(z) = z**3 - 18*z**2 - 25*z + 36. Let f be h(20). Calculate the common denominator of 127/12 and 2170/f - (-2)/3.
24
Suppose 83 = 2*b - 73. Find the common denominator of 4 + (-550)/36 + 3 and 52/(-338) - 443/b.
18
Let j(x) = 5*x - 31. Let c(p) = -p**3 - 10*p**2 - 12*p - 11. Calculate the least common multiple of j(9) and c(-9).
112
Let p = -5729 + 5921. Calculate the least common multiple of p and 96.
192
Suppose 3 = 7*l - 4*l, -5*l - 667 = -4*w. Suppose 4*r - 100 = s, 0*r - 5*s + 4 = r. Calculate the least common multiple of r and w.
168
Let v(q) = q**2 - 30*q + 137. Calculate the smallest common multiple of v(25) and 3*220/(-18)*(-63)/105.
132
Suppose 5*m + 9 + 3 = a, 8 = -2*m. Find the common denominator of ((-1253)/175 + 9)/(a/(-5)) and 68/135.
540
Suppose 0 = 232*z - 228*z - 556. Suppose z*j - 210 = 132*j. What is the lowest common multiple of j and 25?
150
Let b = -989/4 - -246. Let d = 6391/4 + -8017/5. Calculate the common denominator of d and b.
20
Let f(y) be the first derivative of -19*y**2/2 + 136*y - 64. What is the least common multiple of 26 and f(6)?
286
Let l(x) = x**2 - 30. Let g be (-1 - (-7 + 3))*(3 + -2). Let i be ((-32)/(-12) - g)*-18. What is the lowest common multiple of 8 and l(i)?
24
Let q = 67310/61 + -2691027/854. Let x = -2046 - q. Let t = -323993/14 - -23136. Calculate the common denominator of t and x.
14
Let z = 452 + -1016. What is the common denominator of -2 + (-6)/(z/233) and ((-4)/48)/((-4)/(-162))?
376
Calculate the smallest common multiple of ((-6)/2)/(-1) + -36 + 408 and 200.
3000
Let j = 403 + -391. Let r(z) = 15*z - 26. Calculate the smallest common multiple of r(j) and 140.
1540
Find the common denominator of 53/931 and 3/24 - 14/(((-400)/(-41))/(-5)).
9310
Let c(k) = 6*k**3 - 2*k + 2. Let o be c(1). Let x = -19/31 - -13/527. Calculate the common denominator of x and (-3 + (-43)/(-10))*o.
85
Let c = -242 + 263. Let l = c - 17. What is the least common multiple of 30 and l?
60
Let l be (-11)/33 + (-15512)/(-46509). Let z = -1721073/1240240 + l. What is the common denominator of z and -125/48?
240
Let n = -27761/18 + 1543. Let y(s) = -13*s**3 - 4*s**2 - 3*s - 4. Let f be y(-3). Find the common denominator of 1464/f*(-4)/(-18) and n.
180
Let c be 2*-4 + (33 - 28). What is the common denominator of (2 - 309/(-72)) + c and 29/20?
120
Suppose 5*o - 4*o + 2*p + 453 = 0, 4*p + 1796 = -4*o. Let a = 814 + o. Let n = a - 677/2. Calculate the common denominator of -1/7 and n.
14
Let n = -2/65 - 1769/390. Calculate the common denominator of 137/420 and n.
420
Suppose 4*k - 438 = -u, -5*u - 5*k + 2687 = 377. What is the smallest common multiple of 188 and u?
940
Suppose 0 = -125*x + 60499 + 38533 - 11282. Calculate the smallest common multiple of x and 702.
702
Let a(w) = 2*w**3 - 4*w**2 - w + 7. Let z(u) = 4*u + 79. Let n be z(-19). Calculate the least common multiple of a(n) and 496.
5456
Suppose 4*j - 233 = -5*v + 3*j, 2*j + 4 = 0. Suppose 50*z - v*z - 135 = 0. Calculate the least common multiple of z and 45.
45
Suppose -34 = -3*m - 4. Suppose 3*h - 5*h + 5*o + 180 = 0, -3*h - 4*o = -224. Let f = h - 79. What is the lowest common multiple of m and f?
10
Let c = 53 - 34. Suppose c + 2 = 3*i. Suppose 10*q - i*q = 42. Calculate the smallest common multiple of q and 16.
112
Suppose -4*z - 12*z = 672. Calculate the common denominator of 31/276 and (-7)/z*606/(-8).
552
Let n be 764/28 + -5 - (-20)/(-70). Suppose -52 = 9*h - n*h. Calculate the lowest common multiple of h and 107.
428
Let a = -28/67849 + 12193187/116835978. What is the common denominator of a and 51/328?
6888
Suppose 0 = -3*g - 2*r - 33 + 50, -g - 9 = -3*r. Calculate the lowest common multiple of 117 and 78/(-2*(-4 - -1)/g).
117
Let j(y) = 14*y**3 - 17*y**2 - 28*y + 19. Let h be j(-12). Let p = -1103909/42 - h. What is the common denominator of 51/14 and p?
42
Calculate the least common multiple of (-225)/21*7973/(-51) and 30.
10050
Let k = -842 - -582. Calculate the least common multiple of 14 and (-6)/21 + k/(-28).
126
Calculate the common denominator of ((-60)/(-2835))/((-117)/(-52)) and 56/3.
1701
Let a be -3*(-1)/(-4) + (-2321)/(-44). Suppose y + 20 = 3*k, 2*y = -5*k - 4 + a. What is the least common 