Suppose 3*m + 38 = 5*c - 3*c, 3*m = c - 43. Let d = -8 - m. Calculate the least common multiple of g and d.
24
Let l be (-1 - -1)/((-2)/(-1)). Suppose c + c + 3*h - 12 = l, 0 = -c - h + 4. Suppose g + 4*g - 20 = c. Calculate the smallest common multiple of 14 and g.
28
Suppose -d - 375 + 58 = 4*x, 2*d = -10. Let j = x + 94. Calculate the smallest common multiple of j and 66.
528
Suppose 42206*l - 42224*l = -162. Suppose 4 = 3*o + 1. Suppose o = -5*a + 16. What is the least common multiple of a and l?
9
Suppose -5*f = 2*j - 114, 5*f - j + 27 = 135. Suppose -42*i = -2174 + 410. Calculate the least common multiple of i and f.
462
Suppose -5*i + 102 = q, 29 = 4*i - 5*q - 41. Let r(k) = -k**2 + 7*k - 3. Let c be r(5). Let f = 7 + c. What is the least common multiple of i and f?
140
Suppose 6 = 3*t - t. What is the smallest common multiple of ((-1)/(-2))/(2/24) and 10 - (t - 3)/(-3)?
30
Let i be ((-1)/(-2))/(25/100). Suppose i*k + 77 = -2715. Calculate the common denominator of k/(-80) - 3/15 and -37/20.
20
Let s be -5 + 2 - (-838)/(-24). Let b = 38 + s. Let g = -109/15 - -1643/30. Find the common denominator of b and g.
12
Let z(q) = 8*q + 1. Suppose 14*c - 5*i - 21 = 15*c, 4*c - 1 = -3*i. What is the smallest common multiple of c and z(1)?
36
Let t be (39/12 - 2)*4. Suppose -2*q + 292 = t*g, -8 = -5*q - 3. What is the smallest common multiple of 1 and g?
58
Find the common denominator of (365/(-160) - 4)/(45/6) and -29/70.
560
Suppose 37*a - 56*a = -342. What is the lowest common multiple of a and 120?
360
What is the smallest common multiple of 108 and 5/45 + 5823/81?
216
Let i(q) = -2*q**2 - 12*q + 40. Calculate the lowest common multiple of 282 and i(-8).
1128
Suppose 3 = -2*u - u - 3*x, 2*x + 14 = 4*u. Suppose 2 = -b + 2*b + 3*l, -u*l - 20 = -2*b. What is the common denominator of -45/2 and -1 + 4 + (-34)/b?
4
What is the lowest common multiple of (1/2)/((-1)/(-36)) and ((-35)/(-14) + 0)*(-48)/(-5)?
72
Let g = -987 - -2924/3. What is the common denominator of -1 + (13 - 6) + (-58)/26 and g?
39
Let v = -17 - -10. Let a(o) = o**3 + 6*o**2 - 6*o + 8. Suppose 5*g - 8*g - 8 = 5*p, 2*p = g - 12. Calculate the least common multiple of g and a(v).
4
Let g(f) = -36*f + 12. What is the least common multiple of 10 and g(-3)?
120
Let y be (-1)/(-4) - (-105)/28. Suppose -j = -4*j - 5*r + 70, y*j = -2*r + 84. Calculate the smallest common multiple of j and 24/(-9)*(-18)/4.
60
Let g(s) = -2*s**2 + 25*s + 5. Let x = -24 - -35. What is the smallest common multiple of x and g(11)?
418
Let b = 294 + -284. What is the least common multiple of b and 3?
30
Let v(n) = n**2 - 8*n + 4. Suppose -2*z = -0*z - l - 17, 0 = z + 4*l + 5. Let d be v(z). Find the common denominator of (5/44)/(d/(-36)) and 3/5.
55
Let r = -7344406/39305 + 1308/7. Let w = r + -291994/39305. Calculate the common denominator of w and -39/8.
56
Let v(m) = m + 22. Let d be v(-15). Suppose d*r + 20 = 11*r. Suppose -3*i + 2*c + 5 = 3, -2*i - 6 = -5*c. Calculate the lowest common multiple of r and i.
10
Calculate the common denominator of 321/54 - 12/3 and 2/63.
126
Let m = -5/9 - -5. Let i = -299 - -3067/10. Calculate the common denominator of i and m.
90
Let y = -3182339/72 - -44200. Calculate the common denominator of -15/11 and y.
792
Let g = 159 - 99. What is the common denominator of 7/12 and (-177)/g - 0/7?
60
Let c = -62 + 60. What is the least common multiple of -3*3*2/(-9) and c + (-3 - -3)/2 - -9?
14
Let j = 94 - 64. Calculate the lowest common multiple of 84 and j.
420
Let y = 5115/316 + 5/79. Let j be (1609/(-3))/(2/(-3)). Let l = j + -841. What is the common denominator of l and y?
4
Suppose -2*g + 3 = 3*w, 5*g = 39*w - 37*w - 21. What is the least common multiple of 273 and w?
273
What is the common denominator of -33/203 and (-178)/(-84) + (-584)/(-438)?
1218
Suppose -5*v - 2*x + 1568 = 0, 3*x - 910 - 38 = -3*v. Let g be 2381/v - (-10)/15. Let o = g + -142/13. Find the common denominator of -65/4 and o.
8
Let g be (56/6)/((-8)/(-48)). Calculate the common denominator of (-328)/g*(-2)/8 and -7/12.
84
Suppose -q = -4*q + 5*n + 378, 3*q + 4*n - 378 = 0. Suppose -5*w - 210 = 4*r, -4*w - q = -w - 3*r. What is the common denominator of -18/5 and w?
5
Let a = -129 - -134. Suppose -a*n + 7*n = 16. What is the lowest common multiple of n and 20?
40
Find the common denominator of -61/24 and (-10)/(-64)*(-4033)/1090.
192
Let k be (-196)/147*(-3)/4. Let h = 7/38 + -1445/57. What is the common denominator of h and -2 + k - (-49)/(-70)*-19?
30
Suppose 5*i = 13*i - 105896. Let z = -185399/14 + i. Calculate the common denominator of z and -34/11.
154
Suppose 5*x = -5, 0 = h + 4*x + 36 - 11. What is the lowest common multiple of 4 and h/6*80/(-28)?
20
Suppose -k + 774 = 8*k. Let t = k - 53. What is the lowest common multiple of t and 57?
627
Let b = 28021075/72 - 389195. Let g be -4 + (-5 - 1496/(-72)). Let z = b + g. Find the common denominator of 12/23 and z.
184
Let o = -234 + 236. Let m(n) = n**3 + 8*n**2 + 6*n + 10. Let l be m(-7). Let b = l + -6. Calculate the least common multiple of o and b.
22
Suppose 5*z - 26 - 664 = 0. Calculate the least common multiple of 276 and z.
276
Let o be (-6 - -2 - (-7 + 2)) + 7. What is the least common multiple of (1 - (-10)/o)*16/6 and 8?
24
Let o = 4 + 16. Calculate the least common multiple of 218 and o.
2180
Suppose -5*x + 2342 = -2*a, -5756 - 69 = 5*a - 5*x. Let n = 4681/4 + a. What is the common denominator of (448/(-80))/(-14) - (-267)/20 and n?
4
Suppose 70 = 5*c + 5*z, 3*z - 9 - 19 = -2*c. What is the least common multiple of 14 and c?
14
Let l = 16712 - 250768/15. Let p be 19956/4990 + -1 + -1*3. Let d = 5487/2495 - p. Calculate the common denominator of d and l.
15
Let j = -619 - -2429/4. Let l be (-3*(-4)/(-12))/(6/4622). Let x = 756 + l. Calculate the common denominator of x and j.
12
Let l = 1042979/46 - 22675. Find the common denominator of l and (71 - 2)*(-2)/(-33).
506
Suppose -55 = 2*r - 4*r + j, -4*r + 95 = -5*j. What is the least common multiple of r and (-1)/23*29739/(-431)?
30
Let p(l) = -27*l + 664. Calculate the lowest common multiple of (-22)/(-3) + (-2)/(-3) and p(24).
16
Let i be ((-8)/108)/((-2)/(-1236)). Let l = i + 1538/45. Calculate the common denominator of -11/2 and l.
10
Let z = -12731089/141 - -90291. What is the common denominator of z and -55/6?
282
Suppose -14 - 22 = -6*f. Suppose f*a = 7*a - 26. What is the smallest common multiple of 10 and a?
130
Let g be (-8)/(2 + -3 + -1). Let q be (-11 + g)*(-12)/7. What is the common denominator of q/(-30) - (-191)/40 and -51/8?
8
Let n = 233 - 198. What is the least common multiple of 5 and n?
35
Let h = 1094854/99 + -11059. Let u = h - -4099/198. What is the common denominator of 7/12 and u?
12
What is the common denominator of 85/6 and (-728)/(-8960)*(1 + -29)?
120
Let g = -115 - -1251/11. Calculate the common denominator of 194/(-24)*(-6)/3 and g.
66
Suppose -k = -b + 394, 0 = 3*b - 4*k - 1446 + 260. Let y be (-1)/(-4) + b/(-24). Calculate the smallest common multiple of 9 and (4 + 20/y)*4.
99
Let q be 280/12 - (-6)/9. Let u = q - 24. Suppose -4*g + 24 = -u*g. What is the lowest common multiple of 16 and g?
48
Suppose 0 = 2*f + 10, -3*x - f + 2*f = -200. Let h = 272 - 806/3. Calculate the common denominator of 42/(-4)*78/x and h.
15
Suppose 3*l + m - 15 = 4*m, 0 = 2*l - 5*m - 10. Suppose -4*j = -l*j + 3. Calculate the least common multiple of j + 27/((-6)/(-2)) and 10.
60
Let m(d) = 3*d - 6. Let k = 7 + -1. What is the least common multiple of 21 and m(k)?
84
Let i = 211 + -511. Let c be 8/52 + i/(-78). Suppose 5*d = c*d + 8. What is the lowest common multiple of d and 8?
8
Suppose 3805 = 20*k + 605. Calculate the smallest common multiple of k and 32.
160
Let b = 1750 + -19257/11. What is the common denominator of -39/1694 and b?
1694
Suppose 2 = -2*f, f - 3*f - 122 = 5*j. Suppose 3*a = 12 + 6. Calculate the least common multiple of 112/j*6/(-4) and a.
42
Suppose 2*g - 3*h - 57 = 0, -60 = -5*g + 3*g + 2*h. Let d = 41 - g. What is the smallest common multiple of (-1)/(-3)*2*9 and d?
24
Calculate the common denominator of 31/10 and ((-531)/120)/((-1 + 4)*-1).
40
Let i = 9881/18 + -30482897/55530. Let p = i - 416443/148080. Calculate the common denominator of p and 33/20.
80
Find