denominator of -89/18 and y.
342
Suppose 3*c + 5*g = 35954, 22814 = 3*c + 3*g - 13144. Calculate the least common multiple of c and 8.
23976
Let v be (-11)/44 - (-179694)/16528. Let z = -3/1033 - v. Calculate the common denominator of z and ((-1)/(-12))/((-1)/98) - 3.
24
Let c(l) = 3*l**3 + 15*l**2 - 12. Let u be c(-5). What is the common denominator of 2/10 - 153/(-110) and 27/22 + 3*(-4)/u?
22
Let m(l) = -57*l + 58. Suppose 66*x + 116 = 8*x. Calculate the least common multiple of m(x) and 20.
860
Suppose 45 + 18 = 7*x. Suppose -f + 5*d - 3*d - x = 0, -5*f = d - 10. Calculate the smallest common multiple of 2 and f.
2
Let t = -28 - -25. Find the common denominator of (-30015)/(-4872) - 4/14 and 38/t - -1 - 3.
24
Let o be -29*(2/(-1))/2. Let x = -20 + o. Suppose -13650 = -176*v - 102*v - 177*v. Calculate the least common multiple of v and x.
90
Let t = -554324 + 554456. Let j = 136 + -78. Suppose -4*h - 20 = h, 3*u - j = 4*h. What is the smallest common multiple of t and u?
924
Let v = 43217/30 - 1441. Find the common denominator of v and ((-42)/39)/((-144)/132).
390
Let b(h) = 95*h - 8. Suppose y + y = 8. Let i be b(y). What is the common denominator of 25/14 and 4 - i/88 - 2?
154
Let n = 1/8374 + -485719/226098. Suppose -2*m = -3*m + 124. Calculate the common denominator of m/(-264) + (-1)/(-2) and n.
297
Suppose 270*g + 2473 = 30*g + 18073. Calculate the lowest common multiple of 835 and g.
10855
Let p(i) be the first derivative of -i**2/2 + 6*i + 7. Calculate the lowest common multiple of (4/3)/((-1)/(-39)) and p(-8).
364
Suppose -3*z - 4*x = -7*x - 24, 2*z - 11 = x. Suppose -3*k + k + 98 = -n, -z*n - 44 = -k. What is the least common multiple of k and 4?
100
Let d = 117105/224 - 3644/7. What is the common denominator of d and (7 - (-3148)/(-448))/((-1)/(-5))?
224
Suppose -8*r + 124 = -20. Let c = -679 + 706. Calculate the least common multiple of c and r.
54
Let n(k) = -3*k**3 + 21*k**2 + 6*k + 150. What is the lowest common multiple of n(8) and 2708?
8124
Suppose 5*k = -8*k - 273. Let z be ((-154)/k)/(8/(-36)). Let o = z + 60. Calculate the lowest common multiple of 9 and o.
27
Let h = -47945 + 26128. Let f = h - -1090809/50. Find the common denominator of 4 + (6 - 1953/140) and f.
100
Let g = 278267/20 + -13908. What is the common denominator of -199/780 and g?
780
Let q = -2253325797/1918 + 1174831. Calculate the common denominator of -15/196 and q.
26852
Suppose 18*u + 387 - 1017 = 0. Suppose -4*w + u = -165. Calculate the smallest common multiple of 55 and w.
550
Let v = 43289 - 6233747/144. Calculate the common denominator of v and (-1 - -6 - 4) + 284/16.
144
Let o = 2979 - 2963. What is the smallest common multiple of 118 and o?
944
Let c = -43 + 47. Let w be 3 - (-17)/(3 + -2). Suppose -b = l - w, 60 = 3*l - 0*b - 2*b. What is the smallest common multiple of l and c?
20
Suppose s - 76*q + 77*q = 51, -s + 3*q = -67. What is the lowest common multiple of 160 and s?
1760
Let d = -23809/106143 + -148495456013/2122860. Let h = 69953 + d. Calculate the common denominator of h and -23/44.
660
Let f be (2 - -1)*(-98)/(-3). Calculate the common denominator of (-3978)/306 + 93/36 and ((-1)/(-3))/(2/f).
12
Suppose -3*v - 683 + 782 = 0. Let o(n) = n**2 - 29*n + 8. What is the least common multiple of 56 and o(v)?
280
What is the least common multiple of 11 and (4 - 39/12)/((-1)/(-1304))?
10758
Suppose -22*c = -33*c + 385. Calculate the smallest common multiple of c and 25.
175
Let z(s) = 10*s - 57. Let g be z(6). Calculate the common denominator of -3 - (g + 1735/(-360)) and 55/156.
936
Suppose 128 = 4*v - 2*o, -16*v + 128 = -12*v - 5*o. Suppose 140*x - v = 132*x. What is the least common multiple of 20 and x?
20
Let f = -11498 - -114881/10. What is the common denominator of -79/560 and f?
560
Find the common denominator of 71/360 and (505/(-25))/((-126)/(-8 + 17)).
2520
Suppose -7 + 2 = -3*l + x, 5*l - 4*x + 1 = 0. Suppose t - 3*j = 5*t - 89, -t + 11 = -l*j. Calculate the least common multiple of 4 and t.
20
Calculate the common denominator of -89/182 and (-33)/176*((-84)/(-585))/(-1).
1820
Let o(u) = 6*u**2 + 6*u - 6. Let w be o(2). Suppose 2*n = -4*l + 18 + w, -4*l = -n + 30. What is the smallest common multiple of n and 8?
104
What is the lowest common multiple of (-10 + -10 + 21)*(-2 - 0) + 254 and 180?
1260
Let s(d) = -23*d - 15. Let o be s(-11). Let k = -3073/13 + o. Calculate the common denominator of 23 and k.
13
Suppose -4 = 2*u + 2*u. Calculate the common denominator of 1 + 0 - (2 + (-60)/(-21)) and 3 - ((-43)/(-8) - u).
56
Let f be (3 + -4)/(0 + (-3)/849). Let t = f + -228. Calculate the least common multiple of 35 and t.
385
Let x = -1514 + 12093/8. What is the common denominator of (-4 - -18)/((-112)/70) and x?
8
What is the common denominator of (-1246)/168*(-2)/7 and -53/126?
126
Suppose 5*b + 3*n = 5931, -50*b + 49*b + 5*n = -1203. What is the smallest common multiple of b and 540?
5940
Find the common denominator of -139/294 and 8 - 20 - (-135)/(-6).
294
Let p = 566 - 521. Suppose -38 = -7*v - 3. Calculate the least common multiple of v and p.
45
Suppose -6*q + 104*j + 5178 = 101*j, -4*q - 4*j = -3416. What is the smallest common multiple of 26 and q?
11180
Let i(x) = -x**3 - x**2 + 4*x. Suppose 0 = -2*n + 7 - 13. Let c be i(n). What is the least common multiple of 16 and -6*c*1/(-2)?
144
What is the common denominator of (1519/2883)/((-2)/(-3)) and 53/4?
124
Let k = -26 - -45. Suppose -15*i - 12 = -k*i. Suppose -24*j + 25 = j. What is the lowest common multiple of j and i?
3
Find the common denominator of (-340)/6*(-18)/(-264) and 366/(-18)*(-15)/580.
1276
Let f = 9154 + -146547/16. Find the common denominator of 37/32 and f.
32
Let z be -2 + (-2 - -1) + -3. Let r = -4116 + 16491/4. Find the common denominator of (-9 - z) + (-14)/(-10) and r.
20
Calculate the smallest common multiple of 13*-6*(296/(-16) + 8) and 10.
8190
Let z(q) = -6*q + 38. Let l be z(15). Let n = 60 + l. Suppose 0 = 11*o - n*o - 6. Calculate the lowest common multiple of o and 12.
12
Let l = 15644911 + -19869032081/1270. Let c = 19/127 - l. What is the common denominator of c and 56/6*1/(-72)?
270
Let x be ((-39)/15)/((-52)/195). Let d = -133/20 + x. Calculate the common denominator of -79/186 and d.
930
Suppose -5*a - 660 = -11*a. Suppose -7*n + a = 3*n. What is the least common multiple of 112 and n/3 - (-12)/36?
112
Let v be 21749/110 + (-56)/(-308). Let s = 757/5 - v. What is the common denominator of s and 48/25?
50
Suppose -5*m - 25 + 10 = 0. Let j = m - -11. Suppose -3*h + 5*h + 4*k - 6 = 0, 0 = -3*k. What is the smallest common multiple of j and h?
24
Suppose 0 = -25*f + 51*f + 104. Suppose -4*u = 4*r - 48, 3*u + 6 = 2*r - 13. What is the least common multiple of (2 + f - -1)/((-16)/752) and r?
517
Let o = -3/829 + -88649/14922. What is the common denominator of o and 31/13410?
13410
Let a = -65827/12120 - 5/2424. What is the common denominator of 2/((-720)/831) + 8/(-12) and a?
120
Suppose -102 = -2*u + 3*s, 4*s = s - 6. Let a = u - 25. Suppose -3*q + 95 = a. Calculate the smallest common multiple of 3 and q.
24
Let m = 132 - 118. Suppose 3*j - m = -2*l, 0 = 2*j - 6*j. What is the least common multiple of 12 and (1 - l/5)*-10?
12
Suppose 4*i - 129 = -145. Let w = 1/248 - 1251/2728. Find the common denominator of w and i/(-10)*5700/(-48)*1.
22
Let g(a) = a**2 - 17*a - 32. Let h be g(18). Find the common denominator of (-4)/h - 274*1/(-70) and 43/40.
40
What is the common denominator of -59/138 and (-3)/276*(-8736)/(-378)?
414
Suppose 141 = 5*t + j + 2*j, j + 123 = 4*t. What is the common denominator of 1/130 and t/4*3*(-123)/(-450)?
260
Find the common denominator of ((-194)/(-17)*(-35)/(-140))/(-156) and 21/85.
26520
Let m(o) = 3*o**3 - o**2. Let u be m(1). Suppose 2*c + 5*r = -79, 171 = -3*c + u*r + r. Calculate the smallest common multiple of (-2)/c*-4 + 368/26 and 74.
518
Let o be 2/4*-1*(-15 - 17). Let z = -11 + o. Let g = z + -2. Calculate the lowest common multiple of g and 19.
57
Let n(c) = -36*c - 245. Let d(p) = -72*p - 490. Let m(l) = 3*d(l) - 7*n(l). What is the least common multiple of 8 and m(-6)?
232
Let x = -87723 - -7017911/80. What is the common denominator of x and (635/216)/5*3?
720
Let n(g) = 5*g**3 + g**2 - 6*g - 40. Ca