*j = t - 0 - 12, -3*j + 21 = 2*t. Calculate the smallest common multiple of x(-12) and t.
42
Let o = -23539240813/2160538920 - 9433/2650968. Let t = o + -2/1467. What is the common denominator of 101/6 and t?
30
Let n = -1/1800 - 22649/1800. Find the common denominator of n and -73/1316.
3948
Let y = 810 - 490. What is the least common multiple of 8 and y?
320
Suppose -3*w + z - 75 = -6*w, 12 = -4*z. Let m = -6 - -20. What is the lowest common multiple of m and w?
182
Calculate the least common multiple of 10 and (-33)/(-22)*(27 - 15/(-5)).
90
Let o = 48 - 14. Let l = -2/6841 + 704651/95774. What is the common denominator of l and (o/(-12))/(1 + (-100)/45)?
154
Let w = 0 - 31. Let q = -2/17 + -46/187. What is the common denominator of q and w?
11
Let k = 210 - 449/2. Let q = 21403/6300 - 1/225. Find the common denominator of k and q.
28
Let p = 374361617/44 - 8508662. Let k = -1755/4 - p. Let a = 2734 + -21941/8. What is the common denominator of a and k?
88
Suppose -14*l = -17*l + 333. What is the smallest common multiple of 18 and (8/44 + l/(-66))*-22?
198
Let o(f) = f**3 - 11*f**2 + 2*f - 22. Let v be o(11). Let m = -11 - -19. What is the lowest common multiple of (v + (-20)/(-6))/(26/78) and m?
40
Suppose 5*j + 25 = 10*j. Suppose -5 = -16*u + 11*u - j*n, 3*n + 6 = 0. Calculate the lowest common multiple of u and 3.
3
Suppose 3*p - 4*p = -4*a - 34, 4*a = -4. Calculate the smallest common multiple of p and 72.
360
Let p(o) = -o**3 + o**2 + o + 5. Let x(a) = -2*a + 2. Let q be x(1). What is the smallest common multiple of p(q) and 8/3 + (-6)/9?
10
Let w = 1/15 + 1/10. What is the common denominator of (-6 - (-3745)/1274) + (-2)/13 and w?
42
Let p(b) = 1588*b**3 + b**2 - 5*b + 4. What is the smallest common multiple of p(1) and 3?
4764
Let c = -377701/34 - -11110. Find the common denominator of c and 84/(-33)*10/(80/(-6)).
374
Let l = 9105883/120 - 75883. Calculate the common denominator of l and 107/120.
120
Let i(g) = -g**3 - g**2 + g. Let h be i(0). Suppose -80 = -4*z - h*z. Calculate the least common multiple of z and 52.
260
Let a = 19 - 22. Let j = 3 + -36. Calculate the common denominator of -53/4 and ((-506)/j)/((-22)/a).
44
Let i be 4 + ((-8436)/2810 - 1). Let q = i + -130653/5620. Find the common denominator of 31/20 and q.
20
Suppose 0 = 14*h - 17*h + 30. Calculate the lowest common multiple of h and 32.
160
Let o(l) = l**3 - 2*l**2 - 2*l - 6. Let m be 8*1/(-5)*(-15)/6. Calculate the least common multiple of 2 and o(m).
18
Let r = 28 - 17. Suppose 0 = l + 2*l - 405. Calculate the smallest common multiple of (-2)/4 + l/30 and r.
44
Let t = 24563/1842 - 1/614. Find the common denominator of t and 7/44.
132
Let n be ((-9)/6)/(1/(-2)). Suppose 4*h = -4*m + 84, 0 = n*h - 0*m - m - 43. What is the least common multiple of (h/(-10))/(4/(-10)) and 5?
20
Let h = -91 - -131. What is the least common multiple of h and 130?
520
Let f = 150682 - 51834563/344. Find the common denominator of -7/10 and f.
1720
Let r(g) = -g**2 + 8*g. Let l be r(11). Calculate the common denominator of 39/5 and 201/l + 1 - -4.
55
Calculate the smallest common multiple of (-80)/(-8) - -4 - 1 and 208.
208
Let d = -44 + 43. Calculate the common denominator of d + (-3)/12*-178 and 101/14.
14
Let c = 14671/6 - 2452. What is the common denominator of c and 45/308?
924
Suppose 0 = 2*h - 4*u - 36, 2*h - 44 = -h + 4*u. What is the lowest common multiple of h and 2?
8
Suppose 19*o - 15*o - 8 = 0. Suppose -o*r - 3*r + 20 = 5*t, -5*t - 4*r + 18 = 0. Calculate the lowest common multiple of t and 12.
12
Let j = 3545635/248 - 14297. What is the common denominator of -79/28 and j?
1736
Let h = -35284/11 - -3211. What is the common denominator of h and -2/43?
473
What is the least common multiple of 138 and 12/(-15)*13455/(-26)?
414
Let d = -243 - -279. Calculate the least common multiple of d and 30.
180
Let n = 270 - 228. Calculate the smallest common multiple of 24 and n.
168
Suppose 2*z - 1 = 5. Suppose 2*l - a - 12 = 0, -l = -z*a - 4 - 12. Suppose 3*o - 12 = 5*g, -o + 4*g - l = -2*o. What is the least common multiple of 1 and o?
4
Suppose 60 = 4*t + 84. Suppose 3*u + 5*h - h = 9, 5*u = 4*h - 17. Find the common denominator of -31/16 and u/2 + 50/t.
48
Suppose 3*x + 3*h - 42 = 0, 3*x - 4*h = 15 + 13. Let f be (-1)/(((-2)/56)/1). Suppose -q + 3*q = f. What is the lowest common multiple of q and x?
84
Let l = -628413/75710 - -2/7571. Find the common denominator of l and -45/16.
80
Calculate the common denominator of (-5 - (-1810)/(-700)) + 6 and -57/8.
280
Suppose -5*t - 122 = -8*t - 2*s, -3*s = -2*t + 103. Calculate the smallest common multiple of t and 12.
132
What is the smallest common multiple of 2428 and (-6)/1*112/(-42)?
9712
Let a = 49/1289 + 71151/128900. What is the common denominator of 121/6 and a?
300
Let q = -92/31 - -2467/403. Let i = -2848/123 - -61/41. Find the common denominator of i and q.
39
Let m = 92 + -94. Calculate the common denominator of 210/80 + 1/m and 47/66.
264
Let c = 32 + -65. Let m = 1020 + -14251/14. Calculate the common denominator of (-2)/8*2222/c and m.
42
Suppose 9 + 31 = -4*k. Let w be ((-4)/k)/((-23)/(-115)). Suppose 3*q + w*s = -3*s - 1, -20 = -5*q - 4*s. Calculate the smallest common multiple of q and 22.
88
Let z(l) = 2*l. Suppose -8 = -2*j - 2*a + 4, -2*a + 8 = 0. Calculate the lowest common multiple of z(5) and j/(-24)*4 + 55/3.
90
Let q(u) = u**2 + 3. Let t be q(0). Suppose j + 12 = -t*j. What is the common denominator of -21/22 and j/4 - (-21)/(-140)?
110
Suppose 1723*t = 1715*t + 3808. Calculate the smallest common multiple of 5 and t.
2380
Let p(j) = j**2 - 8*j + 2. Let w be p(8). Suppose -2*y + 14 = w*u - 0*u, -5*u + 29 = 4*y. Let r = -21 + 32. Calculate the least common multiple of r and y.
66
Let s = 24245/4308 + -16/359. Let g = -9/4 + s. What is the common denominator of 806/(-144) + (-6)/(-27) and g?
24
Suppose 59 = 5*d - 121. Calculate the common denominator of 190/d*((-12)/(-8) + -1) and -29/18.
36
Suppose 0 = o - x - 18, 5*o + 2*x - 3*x = 102. Let u be ((-147638)/36)/(14/o). Let a = u + 6164. Calculate the common denominator of 41/4 and a.
12
Calculate the common denominator of (1 - (-83)/90) + (-100)/150 and 25/54.
270
Let l be (11/2)/((-10)/(-40)). Let g = -16 + l. Calculate the lowest common multiple of g and 5.
30
Suppose 5*t + 12 = -4*a, -3*t - 5 = 4*a - 1. Find the common denominator of 49/t*2/11 and 139/6.
66
Suppose k + 5*k = -48. What is the common denominator of 63/8 and ((-67)/(-5))/(k/20)?
8
Let d = 10 + -7. Let o = -339 - -341. What is the smallest common multiple of o and d?
6
Let x be (-100)/(-36) + 6/27. What is the common denominator of -75/16 and x/(-6) - 1 - -36?
16
Let o(w) be the third derivative of -w**5/60 - 7*w**4/24 + 17*w**3/6 - 9*w**2. Calculate the least common multiple of o(-8) and 9.
9
Let k(h) = -15*h**3 + 3*h + 2. Let x be k(-1). Calculate the common denominator of 31/6 and (-53)/x + (-11)/((-22)/6).
42
Calculate the common denominator of 97/18 and (-38)/1*30/11880.
198
Let c(p) = 5*p + 21. What is the lowest common multiple of 42 and c(3)?
252
Suppose 5*k = 6*x - 5*x + 42, -12 = 4*k. Let m = -62 - -27. Let y = m - x. Calculate the smallest common multiple of y and 8.
88
Let t = -1349/5 + 83333/310. What is the common denominator of t and -89/12?
372
Let m(g) = -144*g**2 + 579*g - 3. Suppose -3*t + 102 = 5*j, 3*j + 2*t - 62 = -0*t. What is the smallest common multiple of j and m(4)?
18
Let l = -53633/10 - -5354. What is the common denominator of l and 26/41?
410
Suppose 1 = 3*v + 2*g - 13, 7 = v + 3*g. Let n(z) = -z**2 + 5*z - 2. Let w(f) = -220*f - 4838. Calculate the least common multiple of w(-22) and n(v).
2
Let j be 96/(-4) - (-1 - 2). What is the common denominator of 746/112 + 6/j and -29/15?
120
Suppose -132 = 4*b + 4*v, 3*b - 4*v + 201 = -2*b. Calculate the common denominator of -33/4 and b/70 + 3/7.
20
Let x(v) = 18*v**2 + v - 1. Suppose -4*k + 5*j + 100 + 28 = 0, 3*k + 5*j - 61 = 0. What is the smallest common multiple of x(1) and k?
54
Let d be (-96)/36*45/(-4). Find the common denominator of (-513)/18*(-2)/d and 41/2.
10
Let q = 1545 + -1537. Let k = 9 - 15. What is the smallest common multiple of q and 1/(1 - (-5)/k)?
24
Let k be -3*(3 + (-164)/(-6)). Let r = 159 + k. What