 27*h - 58. Suppose 0 = -3*o - 6, -d - 5*o + 155 = 4*d. Calculate the least common multiple of h and d.
33
Let w be (5/(-15))/(21/(-18))*-7. Suppose 0 = -2*p - 74 + 18. Calculate the least common multiple of 4 and 4/(((-7)/p)/((-1)/w)).
8
Suppose 20*g + 56*g + 9*g = 9350. Calculate the least common multiple of g and 230.
2530
Let f = -2045532081589459/59684244568 + 1/1269877544. Let z = f + 34273. Calculate the common denominator of z and 59/22.
1034
Let j be (-1 - 7) + 6 + 8. Suppose 2*m - j = -2*k, m + 2*k = -0*m. What is the least common multiple of m and 21?
42
Let w be (-140)/(2*(-2)/28). Calculate the common denominator of 11697/w + -10 + 4/(-10) and 1/3 + (-254)/(-66).
308
Suppose -5*x + n = -55, 4*x = n + 2*n + 44. Suppose z + x = 29. Calculate the least common multiple of z and 56.
504
Suppose 0 = -5*c + 4*j - 0*j - 460, -3*c + 5*j = 263. Let f = c - -35. What is the common denominator of 63/38 and (-46)/(-23)*f/(-6)?
114
What is the common denominator of 2/2 - -4 - (-48952)/(-9570) and -157/660?
660
Let s = 66/47 + -2324/517. What is the common denominator of s and 43/2519?
2519
Let a = -13044 - -847914/65. What is the common denominator of 101/754 and a?
3770
Calculate the common denominator of (-910)/(-91) + 2327/(-240) and 47/240.
240
Let w = -20 - -22. Suppose -m + 9*i = 4*i + 9, -w*m = i - 37. Let x(d) = d + 3. Calculate the smallest common multiple of x(-1) and m.
16
Find the common denominator of 1310/(-780) - (1 + -2) and (2/(-16))/((-30)/(-235)).
624
Suppose -3*r = k + 4 + 1, 4*r + 15 = -3*k. Calculate the smallest common multiple of 8 and (-9639)/(-35) - k - 4/10.
280
Let w be (1 - 24/8) + 7178/72. Let l = -847/9 + w. What is the common denominator of l and -11/90?
180
Let o(r) = r**3 + 2*r - 1. Let t = 8 + -7. Let y be o(t). Calculate the lowest common multiple of 12 and (-3 + 4 - y)/(-1) - 0.
12
Let f(n) = 2*n**2 - 49*n - 129. Calculate the least common multiple of f(-10) and 12.
2244
Let z = 224 + -313. Let r = 141 + z. Calculate the smallest common multiple of (-4)/(14/(-6) - -2) and r.
156
Find the common denominator of -9 + 1 - 10105/(-1032) and -85/1944.
1944
Suppose 2*a - 2 = 0, 2*a + 1 = -4*y - 1. Calculate the common denominator of (990/(-300))/(y/((-5)/(-78))) and -49/11.
572
Let a = -1781 + 15986/9. Calculate the common denominator of a and -113/1736.
15624
Suppose -115*j - 3292 = -28822. What is the least common multiple of j and 8?
888
Calculate the common denominator of 87/574 and (10 - 1) + (-330)/(-96)*4.
1148
Let o be 0 + -4*(-60)/(-3). Let b = o + 67. What is the least common multiple of b/52 - ((-50)/8)/5 and 6?
6
Let w(u) = 101*u - 2542. What is the least common multiple of 15 and w(29)?
1935
What is the smallest common multiple of -7 + 34/3 + 23/(-69) + 17 and 24?
168
Let l(z) = -5*z - 36. Let v be l(-8). Suppose -v*f - 5 = -r, 3*f = r + 2 - 6. Calculate the least common multiple of 11 and 27 - 8 - (f + 4).
176
Find the common denominator of -38/2835 and (3 + 20/18)/((-4060)/116).
2835
What is the common denominator of (76/8)/((-15334)/204) and 17/246?
2706
Let t be (-204)/(-1)*(-16)/((-512)/24). Calculate the common denominator of 41/24 and 824/t + 17/289.
72
Suppose -80545 = 5*a - 4*s, 48334 = -3*a + 7*s - 6*s. Let d = a - -483449/30. What is the common denominator of d and 64/45?
90
Suppose -2*m + 6 = -0*m. Let x be (-4)/6*24/(-6 - 2). Suppose m*h - 8 = h - 2*d, x*d + 13 = 5*h. Calculate the lowest common multiple of 3 and h.
3
Suppose 18*x - 1125 = -27*x. What is the lowest common multiple of -10*(110/x + -5) and 30?
30
Let x be (-6)/(-54)*360947/2. Let h(j) = -558*j**2 + 4*j + 5. Let i be h(6). Let f = i + x. Find the common denominator of f and -47/10.
90
Suppose 0 = -191*d + 187*d + 16. Suppose -d*h - 5*x + 348 = 0, 324 = 5*h - h - x. Calculate the lowest common multiple of 2 and h.
82
Suppose -5*t - 4 + 19 = 0, -3*h = -3*t - 1971. Calculate the smallest common multiple of 594 and h.
5940
Let a(w) = w**3 - 31*w**2 + 10*w - 291. What is the least common multiple of 152 and a(31)?
152
Let n = 4285525/91 - 47093. Find the common denominator of n and -19/2132.
14924
Let s(r) = -r**2 - 216*r + 66. What is the lowest common multiple of s(0) and 570?
6270
Suppose 4 = 4*n - 12, -3*l + 5*n - 98 = 0. Calculate the smallest common multiple of (2/(-4))/(4/(-192)) and (-10)/(-65) - 100/l.
24
Let l = -97 - -103. Calculate the least common multiple of (-18*8/40)/(l/(-20)) and 16.
48
What is the common denominator of 31*29/5394 - (-9082)/(-53328) and -83/10?
133320
Let h = -519 + 516. Let y = 1493/3 - 1981/4. What is the common denominator of y and (13/15)/(3 - (-5)/h)?
60
What is the lowest common multiple of 12*(-2)/66*-11 and 1626?
3252
Suppose 95*s - 165 = 94*s. Let n = s + -123. What is the lowest common multiple of n and 3?
42
Let v be ((-1)/(-3))/(5/105). Let h(y) = -53 + v*y + 7*y + 7*y - 16*y. Calculate the lowest common multiple of 10 and h(16).
270
Suppose -161*n = -163*n + q + 80, 2*n + q - 68 = 0. Suppose -2*g = -0*g - 52. Let y = -15 + g. Calculate the lowest common multiple of n and y.
407
Let m(f) = 33*f - 552. Let y = -9 - -15. Calculate the lowest common multiple of m(18) and y.
42
Let g = 51990 + -51950. What is the lowest common multiple of g and (0 + 2/3)*36?
120
Suppose -3*v - j = -11, 2*v + 15 = 5*j + 45. Suppose v*m = 46*m - 902. What is the lowest common multiple of m and 22?
22
Suppose 2*r - 652 = 2*z, -2*r + 2*z + 637 = -3*z. Let v = -212729/12 + 17740. Calculate the common denominator of (-4)/10 + r/40 and v.
24
Let y = 6277/5 - 1212. Let g = 46 - y. Find the common denominator of g and -25/9.
45
Let x = -20868967/237072040 - 4/257687. What is the common denominator of -53/40 and x?
920
Let p(o) = 21*o**2 + 2*o + 1. Let i = -30 - -29. What is the least common multiple of 4 and p(i)?
20
Let d be (-12)/21 + (-664006)/196 + -8. Let h(x) = 1134*x - 4. Let j be h(3). Let b = d + j. Find the common denominator of 107/6 and b.
42
Suppose 1438 = 103*y + 108*y - 2993. Let n = 16 + -8. Calculate the smallest common multiple of n and y.
168
Let v = -6 + 3. Let p = -1/120 - -3131/1320. Find the common denominator of 11/(-5) - (0 + v) and p.
55
Suppose 3*u - 5*i + 106 = 0, 2*i = -u + 4*u + 100. Calculate the common denominator of 173/90 and (-308)/u*(-16)/60.
90
Let g = 2104387/6 - 346877. Let q = g + -3844. Find the common denominator of 79/54 and q.
54
Let z = -29 - -33. Suppose 2*m - 3 - 1 = -z*p, -2*p = 0. Suppose -2*q = -m*r - r - 133, -4*q + 2*r = -286. Calculate the lowest common multiple of 10 and q.
370
Calculate the common denominator of (-288)/336*(-224)/81 and 28/1017.
3051
Suppose -5*a + 185 = -320. Suppose -4*u + 88 = 2*q, 3*q - 31 = 3*u + a. Calculate the smallest common multiple of q and 80.
880
What is the lowest common multiple of 165 and (-4 - -14) + 3780/7?
1650
Let g = -1182/11 + 3101/22. Find the common denominator of g and 83/1086.
1086
What is the common denominator of 73/100 and (-1 - (-265)/100)/(23142/(-1508))?
13300
Let p(y) = -2*y**2 + 4*y + 98. Let i be p(31). Calculate the common denominator of (0 - 6)*1 - 13150/i and 13/5.
170
Suppose -w + 2*w - 234 = 0. What is the smallest common multiple of w and (-3)/18 + (-1495)/(-78) + 1?
2340
Let m(n) = 134*n**2 + n - 1. Let l = 347 + -334. Suppose -26*z + 10 = -31*z - 4*g, 0 = -z - 3*g - l. What is the smallest common multiple of m(1) and z?
134
Suppose 72 = y - 5*y. Let u = y - -20. Suppose -x = 5*i - u*x - 48, -2*i + 2*x = -24. What is the smallest common multiple of i and 21?
63
Suppose 5*n + 0*n - 2*n = 66. Calculate the smallest common multiple of 11272 and n.
123992
Let d(j) = -8*j**3 + 1. Let s(p) = -p**3 + 2*p**2 - 3*p - 3. Let u be s(-2). Let o = u + -20. What is the least common multiple of 30 and d(o)?
90
Calculate the common denominator of ((-59025)/(-35560))/(-5) - (-6)/21 and -47/56.
7112
Let z(k) = k**2 - 28*k - 123. Let f be z(32). Calculate the lowest common multiple of 284 and 1/(f/(-3)) + 2790/150.
2556
Let c be 30/(-42) - (-905)/7. Let x = -255/2 + c. Let w = 1090 - 4383/4. Find the common denominator of x and w.
28
Let l = -379 + 413. What is the smallest common multiple of 118 and l?
2006
Let n = 60038057/4972 + -48301/4. Calculate the common denominator of -5/678 and n.
7458
Let o be (-25)/(-5) -