ulate the lowest common multiple of y and 484.
8228
Let m be 1 + (-20)/(-15)*3. Suppose 6*u - m*u + 5*q = 0, -3*u = -4*q. What is the common denominator of -23 + 23 - (u + (-43)/29) and 43/7?
203
Find the common denominator of -57/40 and 2 - ((-20)/(-130) + 546246/297024).
19040
Suppose 0*l = 4*g + 3*l - 112, 3*l - 28 = -g. Let v(y) = -y**2 + 25*y - 40. Let m be v(g). What is the smallest common multiple of 291/33 + 3 + m/44 and 24?
72
Let x = 834 - 762. What is the least common multiple of 180 and x?
360
Suppose -554*k = -556*k + 1824. What is the smallest common multiple of k and 96?
1824
Find the common denominator of ((-36965)/3070 + 12)*-13*4/60 and 53/9.
5526
Let h = -4900 - -5572. What is the least common multiple of h and 12?
672
Let u be 1*(2 + (-246)/122). Let q be (153/(-18))/(1464/681). Let f = u - q. What is the common denominator of 33/10 and f?
80
Find the common denominator of -3/131 and -1*(-2595)/(-252) - (-7)/((-147)/6).
1572
Let q(i) = 7*i**3 + 8*i**2 - 4*i + 3. Let z be q(3). Suppose 11*f - 276 = z. Calculate the smallest common multiple of f and 8.
48
Calculate the common denominator of 36/7056*3815*(0 + (-2)/10) and 89/196.
196
Let t(w) = 3*w**3 + 2*w**2 - 3*w - 3. Let d be t(-3). Let z = d - -65. What is the smallest common multiple of (z/10*1)/((-2)/(-60)) and 27?
216
Suppose -5*t = -0*t + v + 26, 5*v = -t + 14. Find the common denominator of 575/(-184) + 14/t and -57/80.
240
Let g be (2/(-5))/(2/(-10)). Suppose -5 = g*p - 53. What is the least common multiple of p and (-28 - 176/(-6))/((-7)/1134*-6)?
72
Let n be (19 + -6)*(-30 - -1). Let a = 499 + n. What is the smallest common multiple of a and 6?
366
Suppose -4*r = -2*o - 704, -348 = -55*r + 53*r - o. What is the lowest common multiple of r and 15?
525
Find the common denominator of -71/36 and (126/441 + 58/(-56))/18.
72
Let b = 1373/936 + -63/104. Calculate the common denominator of b and ((-20)/105)/((-2)/(-78)).
252
Let g = -1596/47 - -666983/19740. Find the common denominator of -115/14 and g.
420
Find the common denominator of 95/4 + 2/2 and 330/75 - 1942/780.
156
Find the common denominator of (-147112)/(-677964) + (-2)/(-42) + (-4)/14 and -76/21.
24213
Let i = 20287 - 19916. Calculate the least common multiple of i and 106.
742
Let c = -16 - -24. Let j = -50512 + 50518. What is the least common multiple of c and j?
24
Let w = -1508/7 - -216. Let g = w - 51/224. Find the common denominator of g and -2 - (4 + (-844)/96).
96
Let p(r) = r**3 + 4*r**2 - 15*r - 15. Let w be (3 + -12)*(-2)/(-3). Calculate the least common multiple of p(w) and 2.
6
Suppose -4*z - 4*o = -32, o = -5*z - 2*o + 44. Let r(k) = -24 + k - 24 + 4*k + k + 3*k. What is the least common multiple of 24 and r(z)?
168
Let b be (-8)/(-48)*(-51)/(-222). Let p = b + 1/296. What is the common denominator of 4 + -4 + (-119)/24 and p?
24
Calculate the common denominator of 19/372 and (-480)/64*80/1332.
13764
Suppose 2*p = 98*w - 94*w + 12, -4*p - 3*w = -13. What is the lowest common multiple of p and 1168?
1168
Suppose -52*b + 355 = -1621. Let u = -10 + b. Suppose 17 + 15 = 2*x. Calculate the smallest common multiple of u and x.
112
Let q(j) = -3*j + 1 - 1 + 26*j. Let d = 18/35 + -297/1190. Find the common denominator of q(-1) and d.
34
Suppose -24 = -2*y + l, -5*y = 3*l - 7*l - 54. Let z = 62 - 21. Suppose -4*f + 47 = -z. Calculate the smallest common multiple of f and y.
154
Suppose -3*d + 3*q + 78 = 0, 7*d + 3*q = 11*d - 107. Suppose d = -2*z + 41. What is the smallest common multiple of 1 and z?
6
Let w = -26869 - -26911. What is the least common multiple of 1002 and w?
7014
Let o be (18/(-300))/(18/186). Let c = -963/100 + o. What is the common denominator of c and 2/(-5)*(-33)/(-8)?
20
Calculate the common denominator of ((-2)/7 - 3987/(-1680) - -3) + -6 and 59/4120.
8240
Let t = -33/7 - 43/28. Let i = -162741677/144 + 1130163. Let f = 124/9 - i. Find the common denominator of t and f.
16
Calculate the common denominator of (-1309)/170 + -1*(-8)/(-4) + -2 and -47/184.
920
Let j = 3750 - 3566. What is the least common multiple of 161 and j?
1288
Let q be 1 + (-910266)/(-68) + 1. Let c(x) = 12*x**2 + 112*x + 50. Let b be c(29). Let j = b - q. What is the common denominator of j and -77/4?
68
Let w(j) = j**3 - 7*j**2 - 7*j + 6. Calculate the smallest common multiple of w(8) and 1028.
7196
Let q(n) = n**3 - 43*n**2 + 199*n + 42. Calculate the least common multiple of 39 and q(38).
4992
Find the common denominator of 3/164 and (-3)/(-18) - (-2 + 1 - (-10943)/9102).
6068
Suppose 14*v - 15*v = -2*k - 60, -5*k = -3*v + 175. Calculate the least common multiple of v and 69 - ((-5)/6 + (-1)/6).
350
Suppose 31*k - 35376 = -37*k + k. What is the lowest common multiple of k and 4048?
12144
Let n = -127322/17 - -59589331/7956. Calculate the common denominator of n and 145/312.
936
Let w = -583/389 - -376261/226398. Find the common denominator of w and -113/72.
6984
Let k = -7729/35075 - -1/2806. What is the common denominator of k and (1136/(-1600))/((-1)/(1 + -2))?
100
Let n be (-15 - (2 + 0)) + 3/(-1). Let m = n - -82. Calculate the least common multiple of 4 and m.
124
Let d(h) = -h**2 - 10*h - 4. Let o be d(-6). Suppose 0 = 3*y - o - 10. Calculate the common denominator of (6/30)/((-4)/y) and -15/7.
14
Let d = -5105/24 + 214. What is the common denominator of d and -119/50?
600
Let h = 10/2257 - 19749/891515. Find the common denominator of h and 4/5.
395
Let g = 474/43 - 122596/11223. Calculate the common denominator of g and 64/3.
261
Calculate the common denominator of 820/15*(-12)/816 and -17/1653.
28101
Let r be (-1547)/(-4) + -3 + 12 + -10. Let a = 30841/80 - r. Calculate the common denominator of 23/60 and a.
240
Suppose 11*p + 688 = 20158. What is the lowest common multiple of 1 and p?
1770
Suppose -13 + 12 = 5*h - u, 4*u = -5*h - 21. Calculate the lowest common multiple of (-812)/(-21) - h/3 and 130.
390
Let t be 56/16*(5 + 1). Suppose 3*j - t = j - 5*n, -n = j - 15. What is the least common multiple of 18/63 + 2/(-7)*-27 and j?
72
Suppose -489 = b - 2*d + 5*d, -5*b = -3*d + 2499. Let m = b + 560. Calculate the lowest common multiple of m and 9.
558
What is the least common multiple of (-32)/(((-462)/64)/7 + (-7 - -8)) and 2816?
11264
Let b(j) = 46*j**2 - 135*j + 1. What is the least common multiple of b(3) and 6122?
30610
Let g(v) = -3*v**2 - 20*v - 2. Let z be g(-6). Suppose z*c - 415 - 5 = 0. What is the least common multiple of c and 14?
42
Let z(f) = -25*f - 23. Let y(r) = -51*r - 45. Let h(x) = -4*y(x) + 7*z(x). Calculate the lowest common multiple of h(1) and 14.
336
Let y = 291 + -294. Calculate the lowest common multiple of 12 and (y - -33)*(-84)/(-63).
120
Let n = 27451/8 - 3419. Let f = 545179/216 + -103/216. Let v = f - 2477. What is the common denominator of n and v?
8
Let g = -14857/17 + 872. Find the common denominator of ((-5)/6 + (-45)/(-18))*(-371)/(-159) and g.
153
Find the common denominator of 260/8*(-37)/74 and 17/5458.
10916
Let j = 65 + 5. Let a = j + -58. Suppose 3*d = 3*v + v + a, 4*v = 0. What is the least common multiple of d and 46?
92
Let p = 2201 - 10998/5. Let v = -240005/52 + 4615. Find the common denominator of v and p.
260
Let y be (-6)/90 + (-161942)/(-94800). Let w = -1/632 + y. What is the common denominator of -32/11 and w?
275
What is the common denominator of (2/(-886))/(-24 - (-42048)/1744) and -57/8?
10632
Suppose -3*f - 3*l - 4397 = 763, 3*f + l + 5170 = 0. Let n be 1 - (-1)/((-12)/f). Let c = -153 + n. Calculate the common denominator of c and -123/10.
20
Let p = -4928099/840 + 41068/7. Calculate the common denominator of -31/45 and p.
2520
Let s(q) = 526*q + 1100. What is the least common multiple of 351 and s(-2)?
5616
Suppose -2*i = -1 + 3, 4*h + 5*i - 21487 = 0. What is the least common multiple of (6 + -10 + (-1 - -2))/(-1) and 6/20 + h/90?
60
Let p = 10 - 8. Suppose -12 = -5*x + p*x - 2*q, -5*x + 5*q - 5 = 0. Let y(d) = -d**2 + 23*d + 592. Calculate the smallest common multiple of y(38) and x.
22
Let o be 2/11 + -155*14/(-770). Suppose -3*l - 15 = 3*z - 48, -l - 13 = -o*z. What is the least common multiple of z and 132?
132
Calculate the common denominator of 31/723 and (-55)/(-33)*(-28)/(-10).
723
Let a = -469/92 - -17/115. Let o be (54/(-72))/