70
Let u(l) = l**2 - 10*l + 13. Let i be u(9). Suppose -3*d - 5*j + 38 = -j, 2*j = i. What is the least common multiple of 8 and d?
40
Find the common denominator of 71/70 and (-484)/(-80) + 5 + -11.
140
Let u = -6403253327/258 + 24818779. Let a = -20/129 + u. What is the common denominator of (2/96)/((-2)/(2 + 522)) and a?
24
What is the common denominator of 3/158 and (-1)/6*(-4 - -143)?
474
Suppose -49*g - g = -150. Let c(i) = -2*i - 7. Let j be c(-5). Suppose -j*o = 3*n - 21, 6*o = 3*n + 5*o - 21. What is the lowest common multiple of n and g?
21
Let l(b) = 2*b - 4. Let d be l(2). Let p be d + -2 + 0 + 918. Let v = 12725/14 - p. Find the common denominator of 65/6 and v.
42
Let m = -2/8377 + -1063855/100524. What is the common denominator of -23/33 and m?
132
Find the common denominator of (-3144)/(-3332) - 1/17*-2 and 73/14.
98
Find the common denominator of 19/8 and (-2339)/(-1860) + 448/(-320).
744
Let n(f) = -f**3 + 9*f**2 - 3*f - 5. Let i be n(9). Let p = -31 - i. Let d = 10 - p. What is the lowest common multiple of d and 2?
18
Let r = 469 + -149. What is the common denominator of 19/10 and (-8)/(r/18) + 1/4?
10
Suppose 4 = -4*n + 20. Suppose -z = 3*z - n. Suppose 2*m - 78 = -k, 4*m = 2*m + 3*k + 62. What is the lowest common multiple of z and m?
37
Let x be 96/3*(-7 + 8). Let z be (-24)/x - 74/8. Calculate the lowest common multiple of 6 and (44/z)/(14/(-35)).
66
Let m be (5/(-10) + 1)/(2/36). Suppose -4*f - 7 = m, 0 = -t + 2*f + 14. What is the smallest common multiple of 10 and t?
30
Let i(m) = -m**2 - 17*m - 24. Let z(g) = g**3 + 7*g**2 + g - 10. Let r be z(-7). Let q be i(r). What is the common denominator of 49/16 and (-4)/(-54)*(-18)/q?
144
Calculate the least common multiple of 11 and (15 + -4 + -2)*60/54.
110
Let t = 10 - 6. Suppose 5*a + 4*v - 23043 = 0, a - 4617 = t*v - 2*v. Let u = 83053/18 - a. What is the common denominator of 7/18 and u?
18
Let m = 194 - -121. Calculate the smallest common multiple of m and 70.
630
Calculate the common denominator of 58/(-18) - (1 - 1) and (-266)/15 - 2/20.
18
What is the common denominator of (12/140)/((-2)/26) and 123/20?
140
Suppose 5*j - j + 46 = 2*l, 4*l - j = 85. Calculate the lowest common multiple of 0 + 5 + (10 - (4 - 1)) and l.
84
What is the lowest common multiple of 104/6*(-1008)/(-64) and 30?
2730
Suppose -105 = -5*s - 100. What is the lowest common multiple of 25 and s?
25
Let g = -124169/72 + 15562/9. Calculate the common denominator of -31/30 and g.
120
Suppose -4*t + 214 = 54. Find the common denominator of 6/(-9)*1095/t + 2 and 8/27.
108
What is the common denominator of (4 - 5) + -5 - (-939)/174 and 30/7?
406
Let t = 998986/45 - 22198. What is the common denominator of t and -31/35?
315
Find the common denominator of 11/(22/(-6)) - 21/22 and ((-35)/30)/(22/(-18)).
22
What is the common denominator of 38/33 and 60/(-6)*(-84)/6264?
2871
Let n be 1 + (-303)/(-6) + 2/(-4). Let p = n + -48. Suppose 2*r - 12 = -0*r. Calculate the smallest common multiple of r and p.
6
Suppose 16*a - 10 = 15*a. Suppose 5*t = -a*m + 5*m + 15, 2*t + m = 7. Let o(q) = -3*q + 4. What is the least common multiple of o(-4) and t?
16
Let n(p) = p - 5. Let y be n(5). Let v(u) = -u + 2. Calculate the least common multiple of v(y) and (7 - (-1 - -3)) + 0.
10
Suppose -9 = -3*d - 2*c - 102, -124 = 4*d - 2*c. Find the common denominator of (-4)/18*(-143)/(-66) and d.
27
Suppose 7*b + 27 - 62 = 0. Suppose -5*f + 2*f + 15 = 3*m, -4*f + 16 = b*m. What is the least common multiple of f and 7?
63
Let c be 696/27 - 4/(-18). Suppose 0 = -3*b - c + 8. Calculate the smallest common multiple of (-38)/b + (-8)/(-12) and 5.
35
Let w = -95 + 102. Let x = 32 + w. Calculate the smallest common multiple of x and 9.
117
Let a(p) = -10*p - 52. Calculate the lowest common multiple of 16 and a(-10).
48
Let l be ((-3)/5)/(123/15). Let n = l - -2507/82. What is the common denominator of n and (7/5)/((-26)/(-585))?
2
Let m(g) = -g**2 - 8*g - 6. Let y = -66 + 71. Suppose 0*v = -3*s + 4*v + 36, y*s = -2*v + 34. Calculate the least common multiple of s and m(-5).
72
Let y be (-13)/(-5 - 36/(-8)). Let h = 36 - y. Calculate the lowest common multiple of 28 and h.
140
Let r = -109 + 56. Let u = r + 65. Suppose 2*p - 8 = 36. Calculate the smallest common multiple of p and u.
132
Let z be 14/21 - 236/(-6). Suppose 0 = -5*i - 5 + z. What is the lowest common multiple of i and 8?
56
Let q = 19 - 11. What is the common denominator of 2/4 - 135/(-21) and q/(-16) - 25/16?
112
Let i = 479 + -212. Suppose 3*p + 105 - i = 0. What is the least common multiple of p and 10?
270
Suppose 1022 = -5*l - 4*x, 2*x = 2*l + 516 - 118. Let a = 35125/6 - 5868. Calculate the common denominator of (15/40)/(3/l) and a.
12
Suppose s = 6*s + 65. Calculate the least common multiple of 4 and ((-7)/1)/(s/26).
28
Let p be 6 - (-3)/(-2 + -1). Suppose 0 = p*o - 9 - 31. What is the common denominator of 59/4 and (-2)/o*(-3278)/(-33)?
12
Let w(q) = 3*q**2 + 51*q + 99. What is the least common multiple of 119 and w(-18)?
1071
Find the common denominator of (-80)/35*(-4 - 42/(-12)) and (-336)/(-75) + -4 + 1.
175
Suppose -4*t - 2*k = -t - 24, 0 = 3*k - 9. Calculate the lowest common multiple of 3 and t.
6
Let d = -13 - -10. Find the common denominator of 89/8 and (-42)/8*d/(-9).
8
Suppose -m - 5*m + 84 = 0. Let l = 34 - 32. Calculate the least common multiple of l and m.
14
Suppose 0 = 3*r + 115 - 142. Calculate the lowest common multiple of 90 and r.
90
Let n = -2219861/66 - -33635. Find the common denominator of n and 89/84.
924
Let i be (15 + -3)*50/(-294). Let m = -805234781/147 + 5477811. Let q = m + i. What is the common denominator of q and -54/5?
15
Suppose -3*j = -0*j - 54. Let c = j + -18. Suppose -15*y + 10*y + 90 = c. What is the least common multiple of 12 and y?
36
Let k be 2/(-8) + (-14946)/(-4500). Let p = -3/250 - k. What is the common denominator of -77/20 and p?
60
What is the smallest common multiple of 10 and ((-456)/(-266))/((-1)/21*-2)?
90
Let j = 869/1548 - 1/172. What is the common denominator of j and (-8979)/738 - (-1 + (-2)/6)?
18
Calculate the lowest common multiple of 3 - 33/12 - 47/(-4) and 2.
12
Let g(l) = 3 - l**2 - 4*l**3 + 4*l + 10*l**2 + 5*l**3 - 3*l**2. Calculate the smallest common multiple of 22 and g(-5).
88
Suppose 6*i = -31 + 319. Find the common denominator of 93/40 and ((-104)/i)/(-1*4/9).
40
Suppose 3*j + 13 = 5*x, -3*x + 2*j = 2 - 10. What is the smallest common multiple of x and 1?
2
Let s = -111/557 - -49913/147048. Calculate the common denominator of s and -53/312.
3432
Calculate the common denominator of ((-33)/(-2))/(-11) - 316/(-239) and -29/12.
2868
Suppose 5*d - 4 - 116 = 0. Suppose 0 = -5*s - 101 - d. Calculate the common denominator of 131/12 and (-50)/20*(-44)/s.
60
Find the common denominator of 13/10 and (-2 - 210/(-8))/(-43 + 232).
3780
Suppose 0 = 20*t - 387 - 93. Calculate the least common multiple of t and 24.
24
Suppose 4*x - 5*x = -58. Suppose -7*i + x + 26 = 0. What is the smallest common multiple of 6 and i?
12
Suppose -24 = -5*i + 6. Suppose 135*l = 131*l + 8. Calculate the lowest common multiple of i and l.
6
Suppose 0 = 2*t + 4*f - 32, 0*f = -3*t + 3*f + 39. Let l(w) = -33*w + 181. Calculate the least common multiple of t and l(5).
112
Let g = 433/120 - 93/20. Let j = 1933/888 + g. Let k = j - -1097/370. Calculate the common denominator of k and 69/8.
40
Suppose 2*w + 4*z = 4, 2*w + 0*z = -3*z + 6. What is the lowest common multiple of w and 836?
2508
Let w be (-14)/16*10092/7911. Let p = w - -3/586. Calculate the common denominator of p and -27.
9
Suppose -27*k - 6*k = -693. Calculate the lowest common multiple of 105 and k.
105
Suppose 3*l = 2*z - 44, 4*z + 2*l - l = 116. Let m = z - 18. Calculate the least common multiple of m and 11.
110
Let r = -109 - -153. What is the smallest common multiple of r and 40?
440
Suppose 0 = -2*m + 6*m + 16. Calculate the common denominator of 37/(-1)*m/(-28) and 122/63 + 4/14.
63
Let u be (-2217)/8*2/(-3). Let b = 120094/5 + -23839. Let q = b - u. Calculate the common denominator of q and -70/9.
180
What is the lowest common multiple of 27 and -1 - -149 - 28/4?
1269
Let x = -16466 - -263543/16. What is the common denominator of x and 46/(-72)*-3 - -1?
48
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