1682 - -69819. Let z be 14/14 - x/(-12546). Let s = z - -4/697. Find the common denominator of s and 49/108.
108
Let o be -457 + 0 - (-63 + 61). What is the common denominator of (-1 - (-4)/(-2)) + o/56 and -30*((-265)/268 - -1)?
536
Let u be (0*9/54)/((-2)/2). Suppose -11*o + 13*o - 176 = u. Suppose o = 34*p - 32*p. Calculate the least common multiple of p and 28.
308
Suppose -3*y + 65 = -418. Suppose 7*p + 49 - y = 0. Calculate the smallest common multiple of p and 10.
80
Let w = -10267 + 10270. Let t(g) = g + 9. What is the smallest common multiple of t(-7) and w?
6
Let r be ((-8)/5)/(20/(-50)). Suppose r*u = u + 24. Calculate the least common multiple of (-5)/((-20)/u) - -22 and 30.
120
What is the least common multiple of (-10)/(-25) - 347934/10*84/(-126) and 16?
92784
Suppose 3*s - s - 136 = 0. Suppose 22*g - 23*g = 2*y, y = 5*g. Suppose y = -4*q + 45 - 37. What is the smallest common multiple of s and q?
68
Let w(d) = 12*d + 38 - 29 - 97. Suppose -50 = -2*c - 3*c. What is the least common multiple of w(8) and c?
40
Let y = 1784113/48 + -37167. Find the common denominator of y and 139/24.
48
Let t = 37 + -29. What is the lowest common multiple of 2106/8 - 39/12 and t?
520
Let x = 863/140 - 31/5. What is the common denominator of x and 33/5?
140
Suppose 0 = 3*k - 4*k. Let d(j) = -j**2 + 42. Let b = 40965 - 40953. What is the lowest common multiple of b and d(k)?
84
Let a = 71300/7 + -10183. Let g = -352/57 + -98/19. Find the common denominator of a and g.
21
Suppose 0 = a - 4*v + 948, -4*a + 6*v = 9*v + 3811. Calculate the smallest common multiple of a/(-154) + ((-70)/22 - -3) and 38.
114
Suppose 2*v + 6*q - 5*q - 3 = 0, 5*v - 3*q - 13 = 0. Find the common denominator of (27270/3640)/(-9) + v/13 and 6/31.
868
What is the smallest common multiple of 12/(-20) + (6534/390 - (-2)/(-13)) and (-11)/44 + (-306)/(-8)?
304
Suppose -72 - 16 = -5*y - 17*y. Calculate the lowest common multiple of y and 22.
44
Find the common denominator of -13*(-34)/5525 + 954/200 and 123/13442.
134420
Let s = 283308 + -83859247/296. What is the common denominator of 1/3 - 229/12 and s?
296
Let n = 227660437/852 - 267207. Find the common denominator of 53/1065 and n.
4260
What is the common denominator of 1/2*6604/(-45500) and -32/1575?
15750
Let x = -16 + 19. Suppose x*v - 7*v = -4. What is the least common multiple of (-3 - v)/(2 + -3) and 4?
4
Let i = -338/36207 + -1380654491/2896560. Let a = i + 2403/5. Let p = -1886 + 7489/4. What is the common denominator of p and a?
16
Let i = 169360373/582 - 290997. Find the common denominator of i and 34/1067.
6402
Let z = 4753/5 - 104671/110. Calculate the common denominator of z and 127/15966.
175626
Let i(j) = -j**3 + j**2 - 5*j - 2. What is the least common multiple of 74 + ((-30)/(-4) - 2)*(25 + -27) and i(-3)?
441
Find the common denominator of -33/2 and ((11407/(-33))/17)/(2 - (-4026)/(-9)).
1336
Suppose -876 = 8*i - 20*i. Let w = 167 - i. What is the lowest common multiple of w and 20?
940
Let j = -300 - -157. What is the lowest common multiple of 2 and (15 - j) + (-3)/(-3) + 3?
162
Let h be 12/32 + (-111)/(-24) + 62. Suppose -2655 = -h*v + 2303. Calculate the lowest common multiple of 5 and v.
370
Let w = -2961466960 + 4984148722207/1683. Let v = -1719/17 - w. Calculate the common denominator of -4/63 and v.
693
Let y = 2/23129 + 24493607/46258. Let m = y + -6239/12. Let f = 190 + -1897/10. Find the common denominator of f and m.
60
Let y = -1 + 11. Let w = -7321/3 + 2458. Find the common denominator of y and w.
3
Let k(v) = -4*v**3 - 75*v**2 + 19*v + 36. Calculate the lowest common multiple of k(-19) and 174.
1044
Suppose -2*m - 49 - 17 = -5*c, 0 = -5*m + 4*c - 165. Let g = m + 72. Suppose 0 = 3*a + 13*a - 144. Calculate the least common multiple of g and a.
117
Find the common denominator of (6 + 7)*(6/60)/(1839/6) and -52/5.
3065
Let x be (-18)/(-81) - (-4)/(-18). Suppose x = 2*u - 6, 7*h - 2*h + 5*u = -1465. Find the common denominator of 59/30 and (h/(-3))/(-8) - 4/(-6).
30
Let i be (-9)/6 - (-9)/(-18). Suppose 39*g = 44*g - 825. Calculate the lowest common multiple of (-11)/(g/(-10))*(-27)/i and 12.
36
Let r(f) = 10*f**2 + 4*f - 14. Let t be r(3). What is the smallest common multiple of t/4 - 18/3 and 44?
176
Suppose -32 = 2*q - 6*q. Suppose i - 4*i + 7 = -w, 15 = 5*i - 5*w. What is the smallest common multiple of 770/50 + i/(-5) and q?
120
Let i be ((-30)/(-25))/((-4)/(-23280)*8). Let r = 883 - i. Calculate the smallest common multiple of 20 and r.
20
Let g(l) = -3*l**2 - 2*l + 1. Let z be g(-9). Find the common denominator of -4/11 and ((-48)/z)/(3/(-4)).
77
Suppose 0 = v - 5, t = -3*v + 54 - 25. What is the smallest common multiple of t and 48?
336
Let h be -2*((-120)/16 + 3). Find the common denominator of 55/9 and ((-164)/80)/(-1*h/(-4)).
45
Let n = -18 + 41. Let z = -51 + n. Calculate the common denominator of (-2)/(-12)*(2 - 480/z) and 89/36.
252
Suppose 394 = -2*p + 5*m, -2*m - 3*m - 434 = 2*p. What is the common denominator of p/(-6)*(-3)/(-27) and 27/205?
1230
Let d(t) = 4*t**2 + 176*t + 110. Calculate the lowest common multiple of d(-48) and 10.
4390
Let m = -889 - -1483. Suppose m = 6*w + 3*w. Find the common denominator of 11/2 and 143/w*(-10)/11.
66
Let a = 29046 - 726259/25. Let x = 77/50 - a. Calculate the common denominator of 2 - -3*6/(-99) and x.
110
Let f(m) = 104*m - 5609. What is the smallest common multiple of f(58) and 72?
3384
Let v(w) = -4*w**3 - 91*w**2 + 25*w + 56. What is the smallest common multiple of v(-23) and 82?
410
Let v(d) = -2*d**3 - 19*d**2 + 11*d + 13. Let q be v(-10). Calculate the least common multiple of 12 and (-7 + q + -2)/((-1)/2).
12
Let j(w) be the first derivative of -3*w**2/2 - 30*w - 67. What is the smallest common multiple of j(-19) and 462?
4158
Let u = 107 - 107. Suppose 7*a - 3*a + 3*t = 24, u = 2*a - t - 22. What is the least common multiple of 6 and a?
18
Let r(n) = -23*n - 4. Let x be r(3). Let p = -692 + 615. Let v = x - p. Calculate the lowest common multiple of 8 and v.
8
Let i = 14839 + -14651. Calculate the smallest common multiple of 20 and i.
940
Let o(p) = -8*p + 119. Let v(n) = -33*n + 486. Let a(q) = 21*o(q) - 5*v(q). Suppose -5*w - 12 + 102 = 0. Calculate the least common multiple of w and a(17).
18
What is the common denominator of (-1)/2*376/(-140) and 4394/(-92092) + (-10)/(-460)?
385
Let l = -3037 - -24279/8. What is the common denominator of l and 95/1876?
3752
Suppose -4*r + 1702 - 276 = -2766. Calculate the least common multiple of 72 and r.
9432
Suppose 0 = -0*q + 3*q - 12. Let i be q + 16/(-4) + 2. Suppose 2*k + 2*b - 34 = -i*k, 3*b + 39 = 3*k. What is the least common multiple of 6 and k?
30
Suppose 0 = -22*u - 129 - 25. Find the common denominator of -1 - u - 130/(-60) and -61/106.
318
Suppose 4*h - 9 = -5. Suppose 0 = -k + 54 + h. Let y = -37 + k. What is the smallest common multiple of y and 26?
234
Let s = -8503/6 + 1401. Let j be 9066606/(-28)*(254/(-21) + 12). Let h = -30840 + j. Calculate the common denominator of s and h.
294
Let f = 300 + -308. Find the common denominator of f + -2823*1/(-336) and 67/196.
784
Let q(t) = -5*t - 36. Let h be q(-9). Suppose 5*g - 54 = -h. What is the smallest common multiple of g and 174/10 + 6/(-15)?
153
Let i be (1/(15/(-48)))/((-1674)/(-1158)). Let w = i + -4/465. Let h = -31/18 - w. Find the common denominator of 44/17 and h.
34
Suppose 0 = -15*t + 193 + 62. Suppose -7*p - t = -59. What is the lowest common multiple of p and 10?
30
Let s be (1156 - -6)/(-7) + 1. Let a = -156 - s. Calculate the smallest common multiple of 7 and a.
63
Let x = -771 - -815. Suppose 2*v - 10 = 10. Calculate the smallest common multiple of v/15 + (-118)/(-3) and x.
440
Suppose 3*q - 28 = 356*r - 357*r, 3*r + 3*q - 36 = 0. Let y = 22 + -16. What is the smallest common multiple of r and y?
12
Let z be -111*((6 - 6)/(-4) - -13). Find the common denominator of -36/49 and (3 + -2)/(728/z).
392
Let f = -822 + 839. Suppose 3*x + 2*y - 23 = -0*x, 58 = 3*x - 5*y. Let t = f - x. What is the least common multiple of 16 and t?
48
Let x be ((-78)/30 - -1)*120. Calculate the least common multiple of (x/(-15) - 2)/((-84)/(-280)) and 16.
144
Let d(a) = -5*a**3 - 19*a**2 - 25*a - 32. What is the smallest common multiple of 