Let a = 5477/567 + -131/14. Let i = -15686 + 376399/24. What is the common denominator of i and a?
648
Suppose 2*f - 82 = -2*i, 0*i - 5*i = 0. Calculate the common denominator of -111/176 and 23/((-4140)/24) + f/3120.
2288
Let l = 6513 - 6363. Calculate the smallest common multiple of 95 and l.
2850
Let q be 160/(-96)*(-1 + -50). Suppose -t + 141 = -4*t. Let p = t + q. What is the smallest common multiple of p and 4?
76
Let f = -91218 + 28022. Let o be 2/(-7) + (-92012022)/1456. Let z = f - o. Find the common denominator of z and -13/10.
520
Let f be (6/4)/((-45)/4020). Let u = f + 155. Calculate the least common multiple of u and 9.
63
Let c be ((-7644)/396)/(1/(-18)). Let p = c - 347. Let u = 652847/94 + -6945. What is the common denominator of u and p?
1034
Suppose 0 = x - 3*x + 6. What is the least common multiple of 12 - (-11)/(44/(-40)) and x?
6
Let p = -4693/27468 + 13/109. Calculate the common denominator of 79/308 and p.
2772
Let v(i) = i**3 + 4*i**2 - 3*i + 4. Suppose -45 + 22 = -g. Suppose -g*h - 32 = -101. Calculate the lowest common multiple of h and v(3).
174
Let i = -1/11782 - -462451/88365. What is the common denominator of 7/10 and i?
30
Suppose 5*b - 18*b + 25734 = -4205. Calculate the lowest common multiple of b and 658.
4606
Let m = 2457/2 - 1276. Suppose -12*a = -7*a + 150. Find the common denominator of m and (a/75)/(3/18).
10
Suppose 5*a = -c + 61 - 173, 2*c = 5*a + 121. Let q(w) = -w**3 - 24*w**2 - 20*w + 75. Calculate the least common multiple of q(a) and 6.
6
Let q(n) = -13*n - 279. Let o be q(-21). Calculate the smallest common multiple of 16 and o/(-57) - 8184/(-228).
144
Let g be 4/10*-1 - (-6061)/290. Let s = g + -21. Calculate the common denominator of (5/6)/(2/10) and s.
6
Suppose 4*c = k - 332, c + 1146 - 1148 = 0. What is the smallest common multiple of 270 and k?
9180
Calculate the common denominator of 77/54 and (27/(-945))/((-126)/(-49)).
270
Let m = -2142476494/33 + 64915171. Let b = -8361 - m. Let o = 1/9064 + 561929/353496. What is the common denominator of b and o?
429
What is the lowest common multiple of 1370/70 - (6 + (-495)/77) and 7952?
39760
Calculate the common denominator of 11/26 and 2/10 + (13 - 43/(-10)).
26
Calculate the common denominator of (-5264)/(-1890) - 6/10 and 16 + -25 + 8 + (-77)/8.
216
Let f = 20 + 68. Suppose 25*r + f = 21*r. Find the common denominator of 151/24 and (-226)/(-36) + r/18 + 1.
72
Suppose 25 = -9*x + 14*x. Suppose -797 - 93 = x*t. Calculate the lowest common multiple of t/(-8) + 5/(-20) and 8.
88
Suppose 3*p = -2*w + 262, p = w - 0*p - 136. Let q = w + -406. Find the common denominator of -3 - (-4)/(q/(-378)) and -53/8.
136
Suppose -4*w = -9*w + 125. Let y(s) = -17*s**3 + 3*s**2 - 2*s - 2. What is the smallest common multiple of w and y(-1)?
100
Let o(l) = -4*l + 1. Suppose -8*n + 45 = -0*n - 3. What is the least common multiple of n and o(-5)?
42
Suppose 6*u - 131 = 109. What is the lowest common multiple of u and (0 + 70)/(-33 - -34)?
280
Find the common denominator of 34/9 + (-2)/(-9) - 102951/23490 and 101/370.
10730
Let t be -48 - (-2 + (-5)/(-1)). Let y = 53 + t. Suppose -l + y*n = -7, 4*n + 49 = 3*l + 5*n. What is the lowest common multiple of l and 9?
45
Suppose 6*w - 1020 = 4*a + 2*w, -4*a + 3*w - 1021 = 0. Find the common denominator of 1 + 1 + (-1 - 60/a) and 113/18.
576
Let g = -4049 - -4098. What is the smallest common multiple of g and 49?
49
Suppose -3*g + 16325 = -342*i + 338*i, -4*g - 2*i + 21752 = 0. What is the least common multiple of g and 12?
21756
Let c = 45 - 46. Let o be c/(-2) - 11/(-2). What is the lowest common multiple of 2 and (2 + -5)/(o/(-20))?
10
Let p(z) = -11*z - 19. Let u be p(-6). Let w = u + -38. Let b(i) = -13*i**3 + i**2. Calculate the smallest common multiple of w and b(-1).
126
Let y = -52 + 53. Suppose -3*q - 1 = 2*t, -y = -t - 3*q - 3. Let r(v) = 5*v**2 - 4*v + 3. What is the smallest common multiple of 2 and r(t)?
4
Let k be (-50)/4*(-3016)/(-319). Let u = -41017/352 - k. Find the common denominator of u and 67/12.
96
Let y(u) = -u**2 + 4*u + 1. Let m be y(2). Let c(f) be the second derivative of 7*f**3/6 + 15*f**2/2 + f. What is the lowest common multiple of 10 and c(m)?
50
Let f = -49989/14 - -3579. What is the common denominator of (385/(-75) - -5)*(-354)/(-16) and f?
140
Let y be 4/(-14) - 24*(-10)/105. What is the common denominator of -15/13 and (513/(-190))/(1/y)?
65
Let n be 1265/15 - (16/(-6) - -3). Calculate the common denominator of (n/(-16))/(24/2) and -65/316.
1264
Let f = -33943/18 + 1890. Calculate the common denominator of f and -2 - ((7 - (-2388)/(-288)) + -7).
72
Calculate the common denominator of 21/136 and ((-337)/48 - (-112)/16)*(-150)/(-4).
544
Let h(q) = -2*q**2 - 3*q + 3. Let o be h(1). Let d(n) = -4*n**2 + 2*n + 1. Let t be d(o). Let b = 23 + t. What is the least common multiple of b and 13?
52
Let o = 2358 - -1910. Calculate the lowest common multiple of 10 and o.
21340
Let n(o) = -3*o**3 - 12*o**2 + 7*o + 9. Let u be n(-5). Find the common denominator of 5/12 and u/196 + 34/26.
156
Suppose -11 = -4*o - s, 2*o - 4*s = -o - 6. Suppose -w - 5*j + 12 = 0, -o*j - 31 = -3*w + 5. What is the least common multiple of 60 and w?
60
Suppose -3*o + 4*w = -100, -o + 2*w + 39 - 9 = 0. Let g(q) = -4*q + 404. What is the least common multiple of g(83) and o?
360
Let q = -300925/32 + 9403. Let d be ((-4)/642)/((-10)/(-36371)). Let r = d + -3/535. Find the common denominator of q and r.
96
What is the smallest common multiple of 40 and 19 + 3 + 12/(-6)?
40
Suppose 2960*b = 2974*b - 20482. What is the least common multiple of 385 and b?
7315
Suppose -4*l - 4 = -4*b, 2*b + 2*b + 2*l = 16. Suppose -b*u = 2*u - 340. Let c(d) = d**3 + 11*d**2 + 25*d - 3. What is the least common multiple of c(-7) and u?
612
Calculate the smallest common multiple of 24 and (-40)/3*648/(-90).
96
Calculate the common denominator of 10/(-540)*(-79)/1 and 1 + -7 + (-245)/(-126).
54
Let x = 42514747328993999/72712 - 584700562902. Let y = x + 2/9089. Calculate the common denominator of (-1)/4 - 566/24 and y.
24
Let h(z) = 7*z + 18. Let u be h(5). Suppose u = w - 28. Suppose -9*t + w - 9 = 0. What is the lowest common multiple of 18 and t?
72
Let x(m) = -m + 5*m + m**2 + 1 + 2*m. Let b(w) = 2*w**2 - 17*w + 2. Calculate the smallest common multiple of x(-7) and b(9).
88
Let v(q) = 5*q**3 - 18*q**2 - 6*q - 30. What is the smallest common multiple of v(6) and 33?
4026
Let p be 88/66*(-3)/(-4). Let s be ((-2445)/(-180))/(p/118). Let d = s + -1627. Calculate the common denominator of 29/40 and d.
120
Let u = -191111/14 + 13649. Calculate the common denominator of u and 75/17092.
119644
Let a(f) = 16*f - 253. Let x be a(18). Suppose -x = -64*p + 59*p. What is the lowest common multiple of 1 and p?
7
Let k = 5 - -1. Let t = -4670 - -4691. What is the smallest common multiple of t and k?
42
Let f(u) = 22*u + 130. Let a be f(2). Suppose g + 215 = a. What is the common denominator of g and -77/177?
177
Let c(x) = 8*x**2 + 12*x - 11. Let t(v) = 3*v**2 + 4*v - 4. Let k(p) = -4*c(p) + 11*t(p). Let w = -12 - -10. Calculate the least common multiple of 6 and k(w).
12
Suppose -3*x - 5*f = 16, 3*f - f = 5*x - 25. Let j = 33 - 13. Suppose j - 10 = 5*t. Calculate the smallest common multiple of x and t.
6
Let w(v) = v**3 - 20*v**2 - 33*v + 61. Let h be w(17). Let c = 10983/8 + h. Suppose -3*m = 2*m + 220. What is the common denominator of m and c?
8
Let y = 30/991 - 8435/114956. Let s = 2991 - 35869/12. What is the common denominator of y and s?
348
Let n = 327 - 556. Let z = n + 243. Let p(v) = v**2 + 7*v + 10. What is the smallest common multiple of p(-7) and z?
70
Let j be 1987767/342360 - (-3)/8. Let a be (9/(-3804))/((-1)/(-8)). Let q = a - j. Find the common denominator of q and -39/8.
40
Let l = 65 + -65. Let b(a) = -a**2 + 3*a - 98. Let j be b(l). What is the common denominator of -5/18 and 2/8*259/j?
504
Let h be -4 + -3 + 6 + 4. Find the common denominator of (h - 460/135)*3 and (10/(-7))/((-660)/(-140)).
99
Suppose -3*p = 3*b - 141, 2*p + 3*b - 239 = -3*p. What is the smallest common multiple of -3*1/(21/(-490)) and p?
490
Suppose 0 = 248*u - 245*u - 21. What is the common denominator of (310/105*u)/(16/18) and 81/26 + 1 + -1?
52
Let n be 453/(