 x be (8 + -9)*(5 + -2). Let f be (-3)/18*x*-2. Find the common denominator of -67/14 and f - 225/48*-1.
112
Find the common denominator of 3*(-5)/990*632/4 and -16/21.
231
Let q be (2 - 6/4)*102. Suppose 55*w = q*w + 16. Calculate the least common multiple of 4 and w.
4
Let i = -4 + 12. Suppose 2*g = -4*g. Suppose 4*w - 118 = 3*u, g = 5*w - 2*w - 3*u - 90. Calculate the lowest common multiple of w and i.
56
Let b = 4/471 + -11465/471. Let i = -55 + 9. Calculate the common denominator of b and i.
3
Suppose 0 = -g - 0*g + 4. Suppose -6*m + 10*m = -3*o - 201, -9 = 3*m. What is the common denominator of 35/o - (-10)/g and -49/60?
180
Let n = 105853/36 + -2940. Find the common denominator of -115/24 and n.
72
Let u = 1261/2 + -583. Suppose -w + 3*i - 75 = 0, -5*w - 2*i = -4*i + 362. Calculate the common denominator of 2*(220/w)/(-11) and u.
18
Let h(y) = 2*y**2 - 1. Let d = 5 + 21. Suppose m + 25 = 2*x - 0*m, -x + d = -5*m. Calculate the lowest common multiple of x and h(1).
11
Let u = -1184 - -1646. Calculate the lowest common multiple of 12 and u.
924
Let d be -3*21/9*-4. Suppose 0 = -7*u + 7 + d. Calculate the smallest common multiple of 16 and u.
80
Let l = -626/361 - -215921/155952. What is the common denominator of l and 121/18?
432
Suppose 2*g = -0*g + 72. Calculate the lowest common multiple of 66 and g.
396
Let r = -9 + 17. Suppose r*j = 7*j - 309. Calculate the common denominator of 55/26 and 0 + 0 + j/54.
234
Let v(b) = b**3 + 19*b**2 - 47*b - 5. Calculate the smallest common multiple of v(-21) and 275.
1100
Let u = -79244 - -7131797/90. Find the common denominator of u and 59/65.
1170
Let a = 179 + -167. Calculate the least common multiple of 3 and a.
12
Suppose 0 = 5*g + 10 - 25. Suppose -3*f + 5*f + 8 = -4*v, f - 14 = 4*v. What is the smallest common multiple of g and f?
6
Let q(t) = 8 + 2*t**2 - t**2 + 0*t**2 + 4*t. What is the smallest common multiple of q(-6) and 4?
20
Let u = 2/5691 - -55009/11382. Calculate the common denominator of u and 35/210*46/(-3).
18
Suppose 27*v = 441 + 153. What is the least common multiple of 66 and v?
66
Suppose x + 85 = 5*u - 0*x, -4*u = -4*x - 84. Let t = -35 - 3. Calculate the common denominator of u/(-3)*t/(-8) and 22/9.
9
Let o = -8 + -3. Let q = o + 14. What is the smallest common multiple of (6/4)/(30/80) and q?
12
Let n = -738 - -8941/12. Let z = -138101/2130 + -1647/71. Let g = 256/3 + z. Calculate the common denominator of g and n.
60
Let p(v) = -36*v + 274. What is the lowest common multiple of 6 and p(6)?
174
Let g = -3371/3 - -1110. What is the common denominator of g and 134/(-28)*(-1 + (-3)/(-9))?
21
Suppose -5*o + 7*o - 44 = 0. Let z = 45 - 23. Calculate the lowest common multiple of z and o.
22
Let d = -668/133 + -105/38. Calculate the common denominator of 49/10 and d.
70
Suppose 2*a - 4*a - 5 = o, -5*a - 26 = -2*o. What is the smallest common multiple of 12 and 16/64 + (-279)/a?
420
Suppose 0 = -11*y + 3 - 25. Let x = y + 22. Calculate the lowest common multiple of 68 and x.
340
Suppose -41 = -4*t - 5*q, 43*t = 48*t - q - 15. What is the smallest common multiple of 11 and t?
44
Let d = 375/2 - 607/3. Find the common denominator of d and (4/18)/((-54)/(-153)).
54
Suppose -2*t = 235 - 1. Let l = 145 + -863/6. What is the common denominator of 2/(-4)*1 - t/138 and l?
138
Let i = -47257/18 + 2629. Find the common denominator of -29/24 and i.
72
Suppose -9*y = -237 + 84. What is the least common multiple of y and 8?
136
Find the common denominator of (-642)/140*(-150)/(-1260) and 99/2.
196
Let a = 20986/29 - 724. Find the common denominator of a and 15364/4554 + 1/(-22)*-4.
261
Let z = -43 - -63. Suppose i - 19 = -5*q, -4*i - q = 1 - z. What is the lowest common multiple of 3 and i?
12
What is the common denominator of (-20)/(-18) - (1 - 2) and (-48)/(-160)*5/(-4) + (-356)/(-352)?
99
What is the smallest common multiple of 8 and 3 - ((-224)/(-10))/((-3)/15)?
920
Suppose 0 = q - 4*b, -2*b - 2*b = -8. Calculate the smallest common multiple of (336/120)/(1 - q/10) and 20.
140
Let b = 2885 - 37547/13. Let u = -102071/10 - -10198. Find the common denominator of b and u.
130
Suppose 0 = 14*y - 9*y - 65. Suppose y + 9 = 2*m. Let h = 1 - -2. What is the least common multiple of h and m?
33
Let v be 524511/(-11986)*(-2)/24. Let c = v + -10/461. Calculate the common denominator of 37/14 and c.
56
Let n = -2978 - -23791/8. Find the common denominator of 3/12*103/(-9) and n.
72
Let q(p) = -p**2 + 6*p + 7. Let s be q(5). Suppose -s*o - 4 = -14*o. What is the common denominator of 1/o + (-43)/8 and 11/20?
40
Suppose -79 = 5*i - 329. Calculate the least common multiple of i and (9*-1)/((-9)/6).
150
Let v = -3 + 9. Suppose 2*s + 3*s + 2 = 3*m, -3*s + 3*m = v. Calculate the lowest common multiple of 16 and s.
16
What is the smallest common multiple of 48 and 27 + (-5 - -4) + -5?
336
Suppose -5*a - 63 = -68. Suppose -2*t + 15 = -5*v, t - v + a - 10 = 0. What is the smallest common multiple of t and 9?
90
Suppose -9 = 12*s - 69. Suppose -3*i = 15, 329 = 4*z + s*i - 22. What is the smallest common multiple of z and 6?
282
Let n(r) = -26*r - 12. Let u = -32 - -50. Calculate the least common multiple of n(-1) and u.
126
Let c = 51973/2 + -26616. Let o = c + 650. Let l = 101413/6 + -16926. What is the common denominator of o and l?
6
Suppose -59*b + 608 + 2047 = 0. Calculate the smallest common multiple of b and 24.
360
What is the common denominator of 2 + (-1653)/2856 - 18/153 and 31/21?
168
Let o(m) = m**2 + 30*m - 135. What is the lowest common multiple of 2 and o(-34)?
2
Suppose 7*v - 2*x = 2*v + 123, -5*v + x = -119. What is the smallest common multiple of v - (3 + (-9)/6)*2 and 10?
20
Let b = -63 + 185/3. Let i = -343/101 + 29177/3030. Calculate the common denominator of i and b.
30
Suppose -8 = -3*l + l. Let t(g) = 62*g**2 - g + 1. Let b be t(-1). Suppose -l*x + 8*x = b. What is the lowest common multiple of x and 20?
80
Let n = 9 + 54. Calculate the least common multiple of (n/6)/(9/6) and 6 - 0 - 0/2.
42
Let k be ((-14)/(-3))/7 + 26/6. Suppose 59 - 9 = k*d. Let q = 0 + 2. What is the smallest common multiple of q and d?
10
Suppose 0 = -2*s - 1 + 7. Suppose 80 = s*u + u. Let r = -137 + 139. Calculate the lowest common multiple of r and u.
20
Let i = 2 - -2. Suppose i*t + 2*d = 6, 0*t - 2 = -t - d. What is the smallest common multiple of 10 and ((11*-2)/(-1))/t?
110
Let p = 89 - 87. Suppose x - 41 = -p. Calculate the smallest common multiple of 21 and x.
273
Suppose 5*j - 357 = -2*h - 68, -4*j + 3*h + 245 = 0. Suppose 6 = 4*l + 5*d - j, -42 = -3*l + 3*d. Calculate the smallest common multiple of 3 and l.
15
Suppose 11*b - 7*b - 5*c = 11, 0 = -4*b - c + 41. Calculate the least common multiple of b and 34.
306
Suppose 2*f - 41 = -2*f - 3*x, -2*f - 3*x = -13. Let k = 17 + -5. Calculate the smallest common multiple of f and k.
84
Suppose i + 0*i - 3 = 0. What is the least common multiple of i and (-1)/(-2) - (-17622)/396?
45
Let q = 328 - 317. Calculate the lowest common multiple of q and 2.
22
Let b(c) be the first derivative of c**3/3 - 7*c**2 - 21*c + 2. What is the least common multiple of b(16) and 9?
99
Let g = 64 + -38. Suppose -b - 5 = -7. What is the lowest common multiple of g and b?
26
Let h(w) = -7*w + 6. Let s be h(-5). Let u = -38 + s. Calculate the smallest common multiple of u and 6.
6
Let d = 141/2 + -67. Calculate the common denominator of 23/283 and d.
566
What is the least common multiple of (-1)/((-8)/22) - 216/288 and 418?
418
Let c = -205/44 + 98/11. Suppose 5*j = v + 24, 4*j = 5*j + 5*v + 16. Calculate the common denominator of j and c.
4
Let s = 115 - 100. Suppose 42 = s*g - 288. What is the lowest common multiple of g and 36?
396
Let a(g) = 5*g - 18. Let q be a(4). Suppose 2*f = -q - 4, 3*d + 99 = f. Calculate the common denominator of d and ((-4)/44)/((-2)/34).
11
Let o = -57 - -101. Let a = 68 - o. Let q = a - 10. What is the least common multiple of q and 14?
14
Let a = -42015 + 14243131/339. Let l = -31091/6780 + a. Calculate the common denominator of l and 13/18.
180
Let g = -4441 - -35575/8. Find the common denominator of -91/15 and g.
120
Let c be (4 + 0)*(-213)/(-6). Let h = 68/7 - 535/14. Calculate the common denominator of 0/(-2) + c/(-12) and h.
6
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