e 0*p + 3*p - 2588 = -r + 1068, -5*p = 0. What is the lowest common multiple of 80 and r?
36560
Suppose 151*w - 17952 = -25*w. What is the least common multiple of 255 and w?
510
Suppose 4*a = -2 - 6. Let y be (-1)/a*(-1 - 803). What is the common denominator of 35/3 and -1 + y/(-56) + (3 - 7)?
84
Let t = -49 - -85. Find the common denominator of (-9)/(-6) - 103/t and (-9)/(162/(-4)) + 285/216.
72
Let g = 25/159 + -13564/81885. Calculate the common denominator of -17/105 and g.
10815
Let q = 6728815610831/3285710927352 + -2/931323959. Let n = q + 3/392. Let t = 32362 + -517867/16. Find the common denominator of n and t.
144
Let f = -45 + 45. Suppose 5*a - 6*a + 28 = f. Let m = 32 - a. Calculate the least common multiple of m and 10.
20
Let s(m) = -6*m**3 + 5*m**2 - m + 7. Let w be s(-8). Let l = w - 37436/11. Find the common denominator of -29/6 and l.
66
Let w(b) = -b**3 - 13*b**2 + 18. Let c(j) be the second derivative of 2*j**3/3 + 7*j**2 + 8*j. Calculate the lowest common multiple of c(0) and w(-13).
126
Let c = 281 + -297. What is the common denominator of (16/144)/(c/390) and -157/30?
120
Suppose -2*z + 0 - 4 = 0. Let d = 22 + z. What is the lowest common multiple of d and 8/(-70) - (-8)/20 - 2736/(-126)?
220
Suppose -1 = -4*s - 5*k - 50, 25 = -5*k. Calculate the smallest common multiple of 3*(42/s)/(-7) and 321.
321
Suppose 537 = -4*n - 407. Find the common denominator of ((-14)/(-63))/(56/n) and -23/126.
126
Suppose 0 = -5*v + 2*j + 11, -2*v - 4*j - 10 = -0*v. Let n(x) = 72*x - 52. What is the lowest common multiple of n(v) and 21 + ((-1)/(-1))/1?
220
Let x = -8 + 16. Calculate the common denominator of (-2)/12*(-127)/(-2) and 453/(-112) - x/56.
48
Calculate the common denominator of -4*686/282800 - 0 and 25/22.
55550
Suppose 5*b + 13*k = 1299, 5*b - 82 - 1166 = 4*k. Calculate the least common multiple of b and 10/4*8/5.
252
Let l = 1/4587 + -62695/27522. What is the common denominator of l and 15/8?
72
Let g = -1/321081 + -4459419/12629186. Find the common denominator of -29/413 and g.
2478
Let z(c) = c**3 + 13*c**2 + 12*c - 8. Let t be z(-12). Let v be t/306*244878/(-48). Let y = v - 1189/9. Calculate the common denominator of -47/16 and y.
272
Let q(s) = 51*s + 665. Let l(v) = 17*v + 223. Let h(a) = 11*l(a) - 4*q(a). What is the least common multiple of 150 and h(-21)?
150
Calculate the lowest common multiple of 76/(((-220)/(-550))/(2/5)) and 836.
836
Let c = 9844847/5958 - -13/23832. Let v = c - 6561/4. Find the common denominator of (-38)/56*(-4 + 0) and v.
56
Let r be (-105466)/26772 - (8 + (-60)/5). Let a = r + 21/4462. Calculate the common denominator of a and -13/10.
2910
Let d = 159 - 148. Suppose d*u + 0*u - 88 = 0. Calculate the least common multiple of u and 47.
376
Let j be 22/4*(-318)/583. Let c = 0 + 1. What is the common denominator of (c/6)/(j/31) and -41/22?
198
Suppose -1073 + 3377 = 144*o. Calculate the least common multiple of o and 5538.
44304
Suppose -2*j - 147 + 719 = 0. Suppose -4*u + 20 = -2*u. What is the smallest common multiple of u and j?
1430
Suppose 7*s - 2*b = 10*s + 1481, -s = -5*b + 505. Find the common denominator of (-4)/((-16)/42)*s/(-30294) and 113/30.
1020
Let a(v) = -224*v + 3830. What is the smallest common multiple of 110 and a(15)?
5170
Calculate the common denominator of (-102)/(-28)*((-6088)/720 + 5 - -4) and ((-1356)/(-1296))/((-2)/6*-1).
180
Let a = -405482 - -673100147/1660. What is the common denominator of -91/498 and a?
4980
Let k = -7628 - -9452. Calculate the least common multiple of 14 and k.
12768
Suppose j + 6 = 3. Let z be (j + 3 - 0) + -4. Find the common denominator of 5 + z - 153/(-21) and 38/9.
63
Suppose 7*v + 3622 = -21*v + 11266. Calculate the least common multiple of 117 and v.
819
Let v = -10817 - -151553/14. Calculate the common denominator of v and 139/390.
2730
Let t = -60486 + 9193837/152. Calculate the common denominator of 55/114 and t.
456
What is the smallest common multiple of 629 and (-221)/(-68) + (3/4 - 1)?
1887
Suppose -4*j + 31 - 3 = 0. Let t(g) = -g**3 + 6*g**2 + 10*g - 7. Calculate the least common multiple of 17 - (0 - 4)/4 and t(j).
126
Suppose -3*h - 2*h + 55 = 0. Suppose -2*a - 7 = -h. Suppose 0 = -a*g + 24 - 8. Calculate the least common multiple of 11 and g.
88
Let y(f) = 35*f + 594. Calculate the lowest common multiple of 144 and y(-15).
3312
Let l(p) = -35*p + 7*p + 6 - 55*p + 8. Let q be l(4). Calculate the common denominator of -35/4 and (-1)/(-2) - q/(-54).
36
Suppose -4*s - u = -11, 2*s + 2*u - 2 = -s. Calculate the lowest common multiple of (25/3)/((-35)/(-1050)) and s.
500
Suppose 594*l - 49774 = 3370 + 22888. Calculate the smallest common multiple of 280 and l.
4480
Calculate the lowest common multiple of 540 and (14040/(-2) + 0)/(130 + -131).
7020
Let p be 15309/8 + -18*6/(-27). Let q be (-2)/3 - 11540/6. Let t = q + p. Find the common denominator of 25/6 and t.
24
Let w be (-7764)/(-54) - 8/(-36). Let y = w - 141. Calculate the smallest common multiple of 89 and y.
267
Let a = -28 + 36. Let x(r) = r**3 - 9*r**2 + 2*r - 8. Let w be x(a). Calculate the common denominator of 8/w + (-122)/224 and -41/4.
16
Let b = -161515/37782 + -6/2099. Find the common denominator of 27/248 and b.
2232
Suppose -3*k - i - 14 = -0*i, -4*k - 32 = 4*i. Suppose -u - 5*x = -51, 171 - 18 = 4*u + 3*x. Calculate the lowest common multiple of 49 - ((-3)/k)/(3/15) and u.
396
Suppose -400 = 20*w - 40*w. Suppose -w*v - 184 + 2064 = 0. Let x = 12 - 2. What is the smallest common multiple of v and x?
470
Let h be ((-55)/18 - -3)*-338771. Let j = h + -18816. Let l = 133867/18 - 7440. Calculate the common denominator of l and j.
18
Let l = 4/102593 + 807712169/64633590. Let q = -1/315 - l. Calculate the common denominator of q and (-10)/55 + (-194)/748 - -1.
34
Let i = 1549/32 + -193/4. Calculate the common denominator of (-41951)/(-7376)*(-10)/28 and i.
32
Let g = 455 + -215. Calculate the least common multiple of 240 and g.
240
Calculate the common denominator of (-4)/60*327/(-22) and (-20504)/(-699) + 7*-1.
330
Find the common denominator of -91/250 and (116/8)/((8/(-6))/((-2)/(-3))).
500
Let y = -5571586483/2430 + 2292834. Calculate the common denominator of y and -149/72.
9720
Find the common denominator of 71/2214 and 2*1 + ((-294)/(-84) - 9/2).
2214
Let b(w) = w**3 + 49*w**2 + 6*w + 1810. What is the least common multiple of b(-49) and 8?
3032
Let h = -20 - -20. Suppose r - 10 = c, h = r + c - 5*c - 4. Suppose -4*p + 0*p + 12 = 0. Calculate the smallest common multiple of r and p.
12
Find the common denominator of ((-15)/9)/(112/42) and -7/60.
120
Suppose 0*n - 4*d + 112 = -2*n, 0 = -4*n - 2*d - 274. Let h = 17851/138 - 3094/23. What is the common denominator of (-1376)/1518 + (-12)/n and h?
138
Calculate the lowest common multiple of 2765 and (833/(-85))/((-12)/120).
38710
Let n(m) = 610*m**2 - 47579*m - 64. Suppose -3*t + 2*u = -59, -t - 2*u + 31 = 3*u. Calculate the smallest common multiple of t and n(78).
42
Let r be (-286)/(-77) + (-2)/(-7). Let u = r - -12. Suppose -6*m + 185 = 14*m - 175. Calculate the smallest common multiple of u and m.
144
Suppose -y + 6*h - 11*h = -355, 2*y + 5*h = 715. What is the smallest common multiple of 360 and y?
360
Suppose 2*l + 893805 = 5*v, -5*l - 3*v - 2234484 = -6*v. Let z = l - -4882694/11. Let r = -3018 - z. Find the common denominator of r and 53/3.
33
Let s(a) = a**2 + 31*a - 106. Let m be s(-34). Calculate the common denominator of 57/16 and (-5 - (-4052)/480) + m.
240
Let m(o) = -o**3 - 5*o**2 - 3*o - 4. Let v be m(-3). Let j(r) = -r**3 - 14*r**2 - 14*r - 8. What is the smallest common multiple of 55 and j(v)?
55
Let a = 27638 + -3565261/129. Find the common denominator of 3 + (-26)/10 + -36 + (-3759)/(-90) and a.
258
Let k = -498 + 578. What is the lowest common multiple of 592 and k?
2960
Calculate the common denominator of -41/5610 and ((-5)/(-900))/((-4318)/11811).
22440
Let y = -3753585893/36 + 104277820. Let h = y - 11547. Let t = 2/1519 - 12182/22785. Calculate the common denominator of t and h.
180
Suppose 0 = 34*l - 24 - 10. Calculate the smallest common multiple of 0 - (-2 - (2 + 15)) and 123/12 - l/4.
190
Let h = 43 + -31. Suppose -20*c + 208 = -h*c. Calculate the lowest common multiple of c and 6.
78
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