the lowest common multiple of k and y.
12
Suppose 0*g + 4*g = 8. Suppose -4*u = -3*s + 5*s + 1970, 4*s - 2495 = 5*u. Find the common denominator of 109/30 and g/11 - 600/u.
330
Find the common denominator of -47/88 and (-74)/111 + (-359)/(-720).
7920
Let p(f) = -20*f**2 - 620*f + 6. What is the lowest common multiple of 6532 and p(-31)?
19596
Suppose 76 = 4*q - i, q + 0*q - 2 = -4*i. What is the lowest common multiple of q and 1029/(-441)*1494/(-21)?
1494
Let f = 4737 - 4233. Calculate the smallest common multiple of 84 and f.
504
Suppose a = -5*g - 124, 4*g = 2*g - 4*a - 64. What is the common denominator of (-18)/g - 710/504 and -75/2?
126
Let s be (0 - (-14)/(-5))/(25/(-625)). What is the lowest common multiple of 15 and -3*(-1 + s/(-7))?
165
Let b = 3/20792 + 45457/176732. What is the common denominator of 41/102 and b?
408
Let y = -7960 - -199027/25. Let c = 359923/315 + -10274/9. Find the common denominator of y and c.
175
Suppose -4*k - 24 = 2*x, 2*k + 11*x = 13*x. Calculate the common denominator of (k/(192/(-388)))/(-1) and 113/12.
12
Suppose -4*c + 3*p = -78, -3*p - 33 - 63 = -5*c. Calculate the lowest common multiple of c and 140.
1260
Let h = -412 - -457. Find the common denominator of -9/350 and 105/h*126/48.
1400
What is the common denominator of 949/365 + (-4528)/1770 and 55/1416?
7080
Suppose n + 60 = -4*z + 100, 3*n - 133 = z. Let f(w) = 19*w - 9. Let l be f(3). Let t = -26 + l. What is the lowest common multiple of n and t?
44
Calculate the common denominator of -16/7 and ((-3)/(3/(-41)))/((5672 - 9) + -9).
39578
Let f be 45 - 42 - 4527830/88. Let d = f - -51452. Calculate the common denominator of d and -9/44.
44
Find the common denominator of ((207/(-6))/3)/((-4)/16*18) and -4/9.
9
Let i(c) = -14*c - 6. Let o be i(0). Calculate the smallest common multiple of 16 and (9/(-5))/((-342)/(-60) + o).
48
Let o = -20881183/48773034 + 4/159389. What is the common denominator of o and -113/238?
2142
Let h(u) = -u**3 - 27*u**2 - 50*u + 24. Calculate the least common multiple of 420 and h(-25).
840
Suppose -4*w + 6*w - 3*j = 87, 3*j = 4*w - 159. Find the common denominator of 13/45 and ((-351)/(-252))/(w/14).
360
Let g = -409 + 412. Let h = -225 - -231. What is the smallest common multiple of h and g?
6
Let y = 349/26 + -1265/117. Find the common denominator of 83/1546 and y.
13914
Suppose 28*v - 24*v = 0. Suppose 0 = 3*k - w + 9, 2*k + 5*w = -v*k + 11. Calculate the lowest common multiple of k*((-6)/8 + (-175)/28) and 120.
840
Let s(a) = a**3 + 20*a**2 - 26*a - 101. What is the smallest common multiple of s(-21) and 1050?
2100
Let n = 81387/40 - 2035. Calculate the common denominator of n and (-4)/36 + 220/(-144).
360
Let m(b) = b**3 + 6*b**2 - 5*b - 26. Calculate the smallest common multiple of 76 and m(-6).
76
Let r(k) be the second derivative of -2*k**4/3 - 39*k. Let m be r(-3). What is the common denominator of -37/120 and (-18 - -8)/(m/46)?
360
Suppose 5*r + 4*d - 1180 = 0, -715 = -3*r - 3*d + 2*d. What is the smallest common multiple of r and 70?
1680
Suppose -s = -2*z + 5, 4*z - 5*z = 3*s + 15. Suppose -b - 4*b + 4*a + 240 = z, 2*a + 10 = 0. Calculate the smallest common multiple of b and 4.
44
Let g be (-210)/(-50)*20/3. Calculate the common denominator of 91/34 and 0 - 1 - 198/g.
238
Let j(y) = -2*y**3 - 12*y**2 + 2. What is the lowest common multiple of 151 and j(-6)?
302
Find the common denominator of (6/200)/((-1242)/4692) and 9/130.
1950
Let x(f) = -4*f - 3. Let v be x(-2). Suppose v*y - y - 12 = 0. Suppose 5*s + 61 = -r, 409*r + 4*s = 407*r - 20. Calculate the lowest common multiple of y and r.
24
Find the common denominator of (-97)/(-3) + 11946/(-6516) and (-178)/(-744) + (-1)/4.
186
Let k = -209018780835511/54989770 + 1121308211/295. Let y = 32299 + -273669428/8473. Let a = k + y. Find the common denominator of a and 97/16.
176
Suppose 3*w - 249 = -3*p + 165, 0 = -4*w - 8. Suppose 4*l + p = -5*z, l + 1 + 4 = 0. Calculate the common denominator of ((-1)/(-3))/(z/(-3276)) and 47/38.
38
Calculate the common denominator of 3/341 and (-16)/(-864)*603 + 4.
2046
Let z be 21345/(-1085) - 2/(-7). Let s = -7/62 + z. Let p = 10391/7 - 1476. Calculate the common denominator of p and s.
14
Find the common denominator of ((-4)/88)/((-6)/492) and (-4)/(-14) - 304/(-1680).
165
What is the least common multiple of ((-1860)/(-1550))/((-2)/(-910)) and 33?
6006
Let r be -2 - ((-7021)/(-340) - (-4 - 1)). Let w = -169/10 - r. Calculate the common denominator of w and ((-3)/(-4))/((-26)/60).
52
Suppose 4*u - 144963 = -5*u. Let o be (-2174)/(-2 + (-1518)/(-711)). Let s = o + u. What is the common denominator of 49/8 and s?
16
Let o = 11490 - 103483/9. What is the common denominator of o and -76/4011?
12033
Suppose -4*o + 38 = -3*z + 163, -o = 5*z - 239. Let w = -27 + z. Let b = 31 + -17. Calculate the least common multiple of b and w.
140
Let q(c) = -4*c - 6. Suppose -2*t - 3*t - 38 = 6*d, 3*d - 2*t + 28 = 0. What is the lowest common multiple of d/10*720/(-72) and q(-6)?
72
Suppose -98 + 52 = -2*s. Let k = 4 - 1. Calculate the least common multiple of s and k.
69
Suppose 0 = 4*f + 8*n - 56, -149*n = -3*f - 152*n + 27. What is the smallest common multiple of 10 and f?
20
Let h(p) = -6*p + 64. Let n be h(-13). Suppose 0 = 5*k + 5*g - n - 258, -402 = -5*k - 3*g. Calculate the lowest common multiple of 3 and k.
81
Let x(f) = f**3 - 136*f**2 - 536*f + 88. What is the smallest common multiple of 1293 and x(140)?
10344
Let d = 22272 + -935357/42. Let r = -16207/4 - -40573/10. What is the common denominator of r and d?
420
Let w(a) = -8*a - 50. Let n be w(9). Let u = 133 + n. Suppose 20 = 15*y - u*y. What is the lowest common multiple of y and 5?
5
Let w = -891983/1575 - -5099/9. Calculate the common denominator of w and 5/259.
6475
Let j(p) = p**3 + 8*p**2 + p - 57. Let o be j(-7). What is the common denominator of 5/o - 52/(-294) and 121/24?
1176
What is the lowest common multiple of 1880/(34 + -30) + 4/(-2) and 390?
2340
Let d = 6 - 1. Suppose 2*c - 3*q = 52, 3*q = d*c - 62 - 68. Suppose -2*y = -5*b - 30, 22 = 2*y + 4*b - c. Calculate the least common multiple of y and 2.
20
Find the common denominator of 89/64 and (-3 + (-81)/(-24))*1495/(-2829).
2624
Let c be (7/(-4))/((-8)/64). Let o be 34*(-2)/(-60) + c/(-105). Let v(k) = 25*k**3 - k**2 - 4*k + 4. Calculate the lowest common multiple of v(o) and 4.
24
Let u be ((-2)/(-1 - 137))/((-27)/6303). Let h = u - -165/46. Find the common denominator of h and -16/27.
54
Suppose -125 = -5*p + 55. Let x be (-10305)/p + (-5)/(-4). Find the common denominator of ((-4)/40)/((-2)/x) and -75/8.
8
Calculate the common denominator of 221/204*(-8)/20 and 76/1263.
12630
Let z = -40 - 40. What is the smallest common multiple of z/60*(-36)/2 and ((-1)/2)/(2/(-32))?
24
Suppose -s - 5*k + 6*k = -13, -4*k - 18 = -2*s. Calculate the common denominator of 81/56 and -5 + (12733/336)/s.
336
Let z(t) = -t**2 - 19*t - 22. Let p be z(-30). Let f = p - -356. What is the least common multiple of 22 and f?
44
Let m = -886697/76 - -11666. Find the common denominator of 109/2508 and m.
2508
Let i(j) = -j**3 + 10*j**2 + 4. Let v be i(10). Suppose -v*r - 16 = -8. Find the common denominator of -93/22 and (r/(-12))/((-2)/(-1 - -27)).
66
What is the smallest common multiple of 4 and -91*1/7 + 27?
28
Let f = 39 + -37. Let r be -3*10/(-3) + -1*f. Suppose -186 = r*h - 11*h. Calculate the smallest common multiple of 16 and h.
496
Let s(d) = d**3 + 32*d**2 - 41*d - 752. What is the least common multiple of 35 and s(-32)?
560
Let v = -14088/7 - -3014979/1498. Find the common denominator of 75/98 and v.
10486
Let c(y) be the second derivative of y**3/6 + y**2 + 22*y. Let s be c(2). Calculate the common denominator of 107/20 and (s/498)/((64/(-1068))/(-4)).
1660
Let n = 3667/213411 - 8/669. Find the common denominator of -16/261 and n.
2871
Suppose -24*d - 276 = -295 - 749. Suppose 15 = 2*t + t. Suppose 2*j + x - 20 - 16 = 0, 2*x = -t*j + 90. Calculate the lowest common multiple of j and d.
288
Let m = -1/476912 + -640787/30283912. Calculate the common denominator of -9/11 and m.
22352
Suppose 2100 = 315*n - 290*n. Calculate the least common multiple of 112 and n.
336
Let h = -6674 + 6686. Let s = -45 + 72. What is the lowest common mul