
120
Let k = 157033/280 + -3947/7. Calculate the common denominator of k and 9/112.
560
Let q be (6/8)/((-9)/(-36)). Suppose q*v + 5 = 17. Suppose -4*i = -6*i + v. Calculate the lowest common multiple of i and 16.
16
Let g = -130 + 146. What is the least common multiple of 216 and g?
432
Let k be (-17)/1*(-1)/(-1229). Let q = 233318/74969 + k. Let o = q + -7867/1220. Find the common denominator of o and -59/2.
20
Let y be 37 + (-8)/4 + 0. What is the least common multiple of 36/15*y/14 and 10?
30
Let q = 24376315/216 - 112853. What is the common denominator of q and 55/513?
4104
Suppose -j - 8 = -24. Let y(f) = 19*f**2 + 13*f - 12. What is the least common multiple of j and y(1)?
80
Suppose -34 = -5*a - 2*d, -2*d = 2*a + 4 - 20. Suppose 3*z - a = 24. Calculate the least common multiple of z and 28.
140
Find the common denominator of (-14)/(-77) + -1 + 1059/44 and (4 + (-1)/(-5))/3.
20
Let l(q) = -q**3 + 8*q**2 + 19*q + 13. Let r be l(10). Find the common denominator of -29/21 and ((-212)/(-210))/(r - 44/20).
42
Let l(r) = -r**2 - 36*r - 318. Let k = -6 + 24. What is the least common multiple of l(-18) and k?
18
Let f = 7 - 5. Let r(q) = -5*q + 3*q + 10 + q**f + 2*q. Calculate the common denominator of 131/18 and r(0).
18
Suppose w + 2 = 3*k, -48 = -4*w + 26*k - 28*k. What is the lowest common multiple of w and 1224?
6120
Let t = -733115/32 - -22908. Find the common denominator of t and 43/88.
352
Let j(k) = k**3 - 3*k**2 + k + 2. Let s = 14 - 10. What is the least common multiple of -5 - (-9 + -5 + 7) and j(s)?
22
Suppose -q + a = 33, 3*q - 192 = 8*q + 4*a. Let x = q + 51. Let m = -10 + x. Calculate the lowest common multiple of m and 2.
10
Let k(d) = d**2 - 16*d + 4. Calculate the lowest common multiple of 130 and k(16).
260
Let s be (3 - 0)/3*(-1 + 1). Suppose -2*j + 5 = 2*v - 3*j, s = -3*j + 9. What is the lowest common multiple of v and 84?
84
Calculate the common denominator of -53/64 and ((-16)/384)/((-6)/(-488)).
576
Suppose -5*d - 3*s + 20 = 2*s, 5*s - 5 = 0. Suppose -a = -d*a - 126. What is the common denominator of -61/5 and ((-6)/1)/((-30)/a)?
5
Let u be (-3)/(9/(-60))*6. Suppose 3*m - 8*m = -u. Find the common denominator of -57/4 and -1 - 1 - 92/m.
12
Let s(z) = -2*z**2 - 80*z + 56. Calculate the smallest common multiple of s(-40) and 6.
168
Let v = -285 - -301. Calculate the smallest common multiple of 500 and v.
2000
Let k = -28 - -36. Find the common denominator of -109/18 and (852/(-144))/(k/(-2)).
144
Let p(j) = -j - 1. Let c(l) = -l**3 + 3*l**2 + l + 9. Let w(i) = -c(i) - 5*p(i). Let g = -49 + 58. What is the smallest common multiple of w(3) and g?
72
Suppose -5*n + 9*n = 160. Calculate the common denominator of ((-228)/n)/(-3) + 2 and (-246)/21*4/(-8).
70
Let v be (1 - 1037116/20952)/6. Let x = v + -1/15714. What is the common denominator of x and 31/4?
12
Let h = -16235549/780 + 24424/39. Let m be 2/8 - 242193/(-12). Let s = h + m. Find the common denominator of -81/16 and s.
80
What is the common denominator of 91/6 and 12/(-198) - (-3868)/48576?
1104
Suppose -14 = -4*a - 2. Suppose -4*k - 4*c - 32 = 0, -8 = a*k - 4*c + 2. Calculate the lowest common multiple of ((-3)/(9/k))/2 and 3.
3
Calculate the common denominator of 89/16 and 93/(-972)*15*(-4)/(-10).
432
What is the common denominator of -137/70 and -6*280/225 + 6/(-30)?
210
Let v be (-26698)/8580 - 20/100. Let w = -5/429 - v. Calculate the common denominator of w and -67/39.
390
Let h(c) = -c + 8. Let u be h(6). Suppose 20 = 2*j + u. Let z = 27 + -21. What is the lowest common multiple of j and z?
18
Let i = 14/55 + 926/165. What is the common denominator of 70/9 and i?
45
Let j = -5 - -8. Calculate the common denominator of -1*(-776)/(-144)*3 and (-232)/42*j/2.
42
Suppose 4*r + 2 - 14 = 0. What is the common denominator of -5/3 and r/(-1) + 231/56?
24
Let j = -5155 - -72129/14. Let s = 22687/20 - -5114. Let q = s - 6247. Calculate the common denominator of q and j.
140
Suppose 0 = y + 24 - 2. Let q = y + 63. Calculate the common denominator of q and -39/11.
11
Suppose -3*a + 5 = -3*x + 4*x, 4*x = 3*a + 50. Suppose 10*z + 22 = x*z. What is the smallest common multiple of z and 18?
198
Let i = -129 - -144. Let y = -13183/4136 + -15/376. What is the common denominator of y and (i/8)/(14/(-14))?
88
Let a = -10101/820 + 298/41. What is the common denominator of a and ((-8)/12)/(88/(-606))?
220
Let i be 1*(4 + 4728/291). Let p = -1/388 - i. Let k = 85/189 + 11/27. What is the common denominator of p and k?
28
Let m = 228 - 222. What is the lowest common multiple of m and 11?
66
Suppose d = -1 + 6. Let n(c) = -3*c - 59 - 4*c**2 + c - c**3 + 63. Calculate the smallest common multiple of d and n(-3).
5
Let c = -2084/815 + -7/163. What is the common denominator of -57/244 and c?
1220
Suppose -4*w = -2*g - 190, 6*w = w + 2*g + 238. Let y be (-3)/2*w/12. Let k = y + 12. What is the smallest common multiple of k and 18?
18
Suppose 4*k = -0*f + 3*f - 4, -5 = 5*k + 4*f. Suppose -4*z = -2*s + 52, 4*z - s + 0*s + 54 = 0. Calculate the smallest common multiple of ((-2)/k - z)/2 and 4.
8
Find the common denominator of 142/(-72) - (-44)/(-198) and -87/4.
36
Let z = 2/2504051 - -16636914046/999116349. Let f = z - -2/133. What is the common denominator of (-3)/(-4) + 38/(-16) and f?
24
Let i = -30137/18 + 1680. What is the common denominator of i and (-20)/18*9/(-24)?
36
Find the common denominator of (-200)/52 + 0 - 2/(-2) and 99/2.
26
Let z be (-64)/3*1938/(-4). Let w be ((-619953)/(-9) + -4)/(40/6). Let g = z - w. Find the common denominator of g and -11/16.
80
What is the common denominator of (-922)/840 + 50/375 and 59/22?
308
Let f = 8 + 3. Let g(z) = z**2 + 13*z + 47. What is the lowest common multiple of g(-5) and f?
77
What is the common denominator of ((-7)/((-105)/830))/(28/(-21)) and 19/20?
20
Let o be 2 + (0 - 758/36). Let u = o - -1567/72. Let y = 5509/10 + -550. What is the common denominator of u and y?
120
Calculate the lowest common multiple of 8 and 6/(402/1860 + (-3)/15).
744
Let u = -35 + 17. Let o = u + 27. What is the least common multiple of 196/203 + (-20)/(-580) and o?
9
Let j = 9013/112 - 576/7. Calculate the common denominator of (-8 - 188/(-24))/(5/(-37)) and j.
240
Suppose -4*o = -2*a - 58, -a - 4*o = a + 90. Let b = 45 + a. What is the lowest common multiple of b and 5?
40
Let x be (1046/24)/(-3 + 19888/6648). Let h = 12313 + -17485. Let n = h - x. Find the common denominator of -49/4 and n.
28
Suppose -5*x + 57 = i, 93 = 2*i + 6*x - 3*x. Let y be 3/(-18) + 889/i. Let a = -5 + y. Calculate the lowest common multiple of 6 and a.
48
Suppose 3*o = 0, 3*o - 5*o = -5*f + 420. What is the least common multiple of f and 3?
84
Let k = -70 + 100. What is the lowest common multiple of k and 2?
30
Suppose -d - 85 = 83. Calculate the common denominator of (-2)/(-7) - (-2325)/70 and 1476/d - (-4)/14.
2
What is the common denominator of 11/290 and ((-81)/(-2))/(-3) - (-1)/1?
290
Let a(s) = -4*s**2 - 26*s + 12. Let d be a(-7). Calculate the common denominator of (d/60)/(-1)*7290/(-120) and -109/36.
360
Let d = 6 - 10. What is the common denominator of 15/(-40)*7750/375 and ((-6)/81)/(d/123)?
36
Let z(n) = -2*n**2 - 3*n - 3. Let q be z(4). Suppose 3*d - 2 = a + 4*d, -2*d = -2*a - 4. What is the common denominator of -53/11 and q/a*22/(-77)?
77
Let d = 610 + -592. Calculate the smallest common multiple of 3 and d.
18
Suppose -19 = -13*w + 85. What is the smallest common multiple of w and 20?
40
Calculate the lowest common multiple of 7 and 2 + (-1)/(-3*(-1)/(-6)).
28
Suppose q = 10*x - 9*x + 35, -q - 5*x = -17. What is the least common multiple of 16 and q?
32
Let c = 409/30 - -87/10. Let j = -36149/6 + 6042. What is the common denominator of j and c?
6
Let j be (-1 + (-139226)/(-20454))/(16/12). Let o = j + 1/487. Calculate the common denominator of -41/46 and o.
322
Suppose v + 2 - 3 = 0. Let z be v/(((-3)/(-93))/1). Let u = z - 25. What is the lowest common multiple of 2 and u?
6
Suppose -4*a + 38 = 3*b + 31, -4 = -4*a - 4*b. Calculate the smallest common multiple of 643 and a.
2572
Let r be 30/(-75) - ((-6)/(-5))/2. What is the common denominator of -49/22 and r/(-5) - 7/(-130)*67?
286
Suppose -4*g + 3*f - 3 = 0, -4*g - 4*f + 2 = -2. Suppose 3*m - 7 = 5*s + 7, -5*