= 31/4 + -34/5. Suppose -3*k + 4*h + 25 = 0, 2*k + 18*h - 22*h - 22 = 0. What is the common denominator of 147/7 + k/12 and b?
20
Let y(z) = 486*z - 1. Let c be y(-2). Let q = 4021973/4113 - 600/457. Let g = c + q. What is the common denominator of g and -55/2?
18
Suppose -105 - 93 = -9*z. Suppose -65 = -2*o - 5*y, 4*y + z = 3*o - 18. Calculate the least common multiple of 22 and o.
220
Let q = -654199217029669/5274380 - -5333435800/43. Let j = 2/6133 - q. Calculate the common denominator of -57/8 and j.
40
Let t be (8897755/(-735))/1 - 2/6. Let s = 12107 + t. Find the common denominator of 67/28 and s.
196
Calculate the common denominator of (-7)/(308/(-102)) - 5/4 and -37/132.
132
Suppose 4376*b + 4770 = 2199*b + 2192*b. Suppose -6*p + p - 109 = -3*s, -p = 4*s - 130. What is the lowest common multiple of b and s?
3498
Let i = 2318 - 13999/6. Suppose -j - 12*r + 10*r + 24 = 0, -2*r + 72 = 4*j. Calculate the common denominator of i and 77/2 + 4/(j/12).
6
Let p = -15017 + 15089. What is the least common multiple of p and 288?
288
Suppose -5*f - 550*q = -549*q - 82, 4*f + q = 66. Calculate the lowest common multiple of 5174 and f.
41392
Let r = -4620 - -46081/10. Calculate the common denominator of (-116)/(-26) + ((-30)/5 - -1) and r.
130
Let n(k) = 98*k - 1808. What is the lowest common multiple of 306 and n(19)?
918
Let a be -5 + 4 - -10*44207/36. Let b = a + -12285. Find the common denominator of b and 7/174.
522
Let n = 155 - 153. Suppose -1 = -n*g + 87. What is the lowest common multiple of 84 and g?
924
Let r(x) = 79*x + 238. Calculate the least common multiple of r(-2) and 1*6/24 - (-319)/4.
80
Let g = -2080307/112 - -18574. Find the common denominator of -13/10 and g.
560
Let l = 5102 - 30539/6. Calculate the common denominator of l and (0 - (-26)/300)*27.
150
Let q = 191438585255315/468 + -409056539172. Let u = q + -266929. What is the common denominator of u and 1/6?
468
Let y = 5526 - 88515/16. Find the common denominator of y and 79/456.
912
Let b = -381/47 + 106613/12972. Find the common denominator of 13/552 and b.
552
Let x = -13/16 - -313/176. Find the common denominator of x and -83/2728.
2728
Let f = 42 - 92. Let i = f + 78. What is the least common multiple of 32 and i?
224
Let x(j) = 2*j**3 + 12*j**2 - 2*j + 8. Let y(s) = 3*s**2 - 17*s + 50. What is the smallest common multiple of x(-6) and y(5)?
40
Let b = -824874131/816 + 1010875. Calculate the common denominator of -17/176 and b.
8976
Let a = -171129/32 + 5345. What is the common denominator of a and -137/1224?
4896
Let o = 2429 + -2111. Calculate the least common multiple of 6 and o.
318
Let v(x) = -x**3 - 13*x**2 - 4*x + 12. Let i be v(-12). Let y be (-8)/i*-3 + 69/21. Suppose y*d - 85 + 13 = 0. What is the lowest common multiple of 12 and d?
24
Let f(h) be the first derivative of -2*h**2 - 2930*h - 4. Let y be f(0). Let p = -29371/10 - y. Calculate the common denominator of p and -47/8.
40
Let n(g) = 6*g - 68. What is the least common multiple of (-37 - -1)*216/(-96) and n(13)?
810
Let t = -337/7366600 - -351412408307/237285552600. Let c = 2/3579 + t. What is the common denominator of -61/36 and c?
108
Let q(y) = -y**3 - 12*y**2 + 16. Calculate the least common multiple of q(-12) and (24/22)/(122/671).
48
Let q(z) = z + 67. Suppose -2*r + 6 = -4*l - 44, -61 = 5*l - 4*r. Calculate the lowest common multiple of q(l) and 20.
540
Let a = 6/947 - -41650/2841. Find the common denominator of a and (2/(-4))/((-48)/28).
24
Let t = -1168/619 + 1217063/606620. Calculate the common denominator of 117/196 and t.
980
Let h(m) = m**3 - 14*m**2 + 47*m + 26. Calculate the lowest common multiple of h(10) and 2368.
7104
Let l(s) = -131*s**2 + 13*s + 26. Let d be l(15). Let y = 1989189/68 + d. What is the common denominator of -123/40 and y?
680
Let k(n) = -12*n. Let l be k(1). Let i = l - -372. What is the lowest common multiple of 22 and (2/6)/(10/i)?
132
Let d = -248 - -260. Let g(n) = -3*n**3 - 2*n**2 - 3*n - 2. What is the least common multiple of g(-3) and d?
420
Suppose 0 = 9*c - 3*c - 24. Let q be c - ((-3365)/(-10) - -1). Let p = -344 - q. Find the common denominator of p and -123/20.
20
Suppose 18*v - 16*v - 4*q = -32, -2*v - 28 = -3*q. Let a = 11 + -9. Calculate the least common multiple of a and v + (0 - -4) + 30.
26
Let s = 8/77669 - 6686422/66873009. What is the common denominator of 49/123 and s?
861
Let x be -3 - ((-719)/266 + 3 + -2). Let g = 5/38 - x. Let a = -643/112 + g. What is the common denominator of 91/44 and a?
176
Suppose 4*m + 0*m - 15944 = 0. Let f = m - 95677/24. Let n = 129/161 + 21407/4830. Calculate the common denominator of n and f.
120
Suppose 35 = 4*g + 23. Suppose -g*k - 3*k - 198 = 0. What is the common denominator of -57/22 and (k/45)/((-4)/6)?
110
What is the common denominator of -149/210 and 194*(-6)/(-8 - -6728)?
1680
Calculate the common denominator of -31/378 and (-1 - 14/4) + (-19300)/(-4500).
1890
Let g(d) = 6*d**3 - 71*d**2 - 11*d - 10. Calculate the lowest common multiple of g(12) and 5306.
5306
Let l = -20 + 38. Let q = 1655/12 - 427/3. What is the common denominator of q and l/48 - 1/(-3)?
24
Let l be 3/(-4 - 215/(-50)). Suppose -12 + l = -h. Suppose -r + 3*c - 275 = -6*r, -2*r - 5*c + 129 = 0. Calculate the least common multiple of h and r.
52
Suppose -8*l - 2 = -2. Suppose -r + l*r = -4*d - 20, -3*r - 5*d = -60. What is the smallest common multiple of r and 105?
420
Let r = -1229816411/84 - -14640141. Let p = -65/84 + r. Let x = 540 + p. Find the common denominator of x and 41/2.
6
Let l(u) = -9*u - 27. Suppose 4*p + 4 = 2*b - 3*b, 3*b + 12 = -3*p. Let d(m) = -13*m. Calculate the least common multiple of d(-1) and l(b).
117
Suppose 0*g + g + 2*f = 0, 2*g - 3 = -f. What is the common denominator of (7 + -2 + (-843)/(-6))/6 and 4 - (190/44 - g)?
44
Let q = 5 - -7. Suppose 4*h = 5*o + 19, -2*h - 3*h + 45 = -2*o. What is the least common multiple of q and h?
132
Let j = 7298 + -145897/20. Calculate the common denominator of j and (-19)/38 - ((-172)/(-16))/1.
20
Let k = 99 + -97. Suppose -7*l + 2*l = -4*j - 25, 0 = 4*j. Suppose 3*n = x + 21, -2*n + l*x = -4*n + 31. Calculate the lowest common multiple of n and k.
8
Suppose -42 + 4 = n. Let f = n + 42. Calculate the common denominator of (f/(-12) - -1)*-48 and -55/18.
18
Suppose -4*j - 378 = 5*j. Let y = 50 + j. Calculate the lowest common multiple of y and -14*3/(-6) + 0.
56
Let z = 22738 - 6116507/269. Let j = z - 16021/2690. Find the common denominator of -117/10 and j.
10
What is the common denominator of -41/334 and ((-2)/(8/6))/(7/((-1050)/24))?
1336
Suppose 0*z = 3*p - 4*z - 983, 0 = -3*z + 12. Let w = p + -327. What is the smallest common multiple of 12 and w?
12
Let z be 7503/671 - 2/11. Suppose f + z = 46. Calculate the least common multiple of f and 5.
35
Let s = 2386 - 1770. What is the smallest common multiple of 528 and s?
3696
Suppose 7*p + 327 = 390. What is the smallest common multiple of 159 and p?
477
Let i(y) = -17*y. Let k be i(0). Suppose -5*g + 446 + 49 = k. What is the smallest common multiple of g and 30?
990
Let o = 46811/48 + -2923/3. What is the common denominator of o and -109/240?
240
Let o be (-10456)/18*60/40. Let n = -1777/2 - o. Calculate the common denominator of n and -13/6.
6
Let v = -47911/6 + 7993. Calculate the common denominator of v and -63/142.
426
Suppose j - 5 = 13*k - 10*k, 2*j = 10. Suppose 1288*c - 1290*c + 36 = k. What is the lowest common multiple of c and 92?
828
Let u(v) = 18*v - 6. Let d(s) = 91*s - 30. Let t(r) = 2*d(r) - 11*u(r). Calculate the smallest common multiple of 9 and t(-3).
54
Let u = 1067/140 - 445/56. Find the common denominator of u and -37/2496.
12480
Let x(t) = t**3 + 49*t**2 - 3*t - 145. Let a be -48 - ((-6)/1)/(-6). Suppose -4*s = s - 125. What is the least common multiple of x(a) and s?
50
Calculate the smallest common multiple of 1837 and (120/(-56))/5 + 124/28 - -2668.
29392
Let o(n) = 2834*n**3 + 6*n**2 + 13*n - 38. What is the smallest common multiple of 12 and o(2)?
68052
Let f = 963 - 638. What is the least common multiple of f and 40?
2600
Let n = -2260980888/23 - -98336708. Let s = 320464699/9660 - n. Let p = 2/105 - s. Find the common denominator of p and 111/10.
20
Suppose 0*g - 2*g = 5*w - 124, -3*w + 74 =