
Let m(h) = 3*h**3 + 14*h**2 - h + 11. Let v be m(-5). What is the lowest common multiple of v/(63/(-1183)) - 9 and 2?
160
Let n(s) = -3*s + 105. What is the smallest common multiple of n(28) and 1713?
11991
Let c(q) = 3*q**3 + 29*q**2 + 17*q - 12. Let n be c(-9). Find the common denominator of (23/n - 2)*99/132 and 38/7.
28
Suppose -43*r + 1056 = -19*r. What is the least common multiple of r and 4?
44
Suppose -6 = -2*d - 0. Suppose d*m = -v + 45, 6*v = 5*m + 3*v - 75. Let c(z) = -18*z**2 + 252*z + 24. Calculate the least common multiple of c(14) and m.
120
Let c be ((-66598)/24 - 1)*1. Let w = -2779 - c. What is the common denominator of w and 70/9?
36
Let i = -626341927649/26653368 - 176/1110557. Let q = 23494 + i. Calculate the common denominator of 109/36 and q.
72
Let g be (-250)/(-15)*72/10. Find the common denominator of -79/21 and 32/72 - g/351.
273
Let r(k) = 17*k - 83 - 2*k**2 + 94 + 0*k**2. Let t be r(9). Let u = 14 - t. Calculate the least common multiple of 10 and u.
60
Suppose 5470 = -21*j + 17*j - 5*g, 0 = -3*j - 4*g - 4103. What is the common denominator of 1/4*6440/j and (3/12)/(54/(-112))?
351
Let s(g) = -g - 2. Let w be s(-6). Let t be (-3)/(-2)*6 - w. Suppose 3*i - 3 = -4*u, -t*i = -i - u - 4. Calculate the least common multiple of i and 2.
2
Let h be 3/21 - 3548/(-7). Let x = h + -459. Calculate the lowest common multiple of x and 12.
48
Let w = -2360/19341 - 103929317/51272991. Let f = w - -14/241. Find the common denominator of f and 56/9.
99
Let u = 182669 + -1458879/8. Let x = u + -297. What is the common denominator of x and (-237)/24 + (-29)/44 + 77/(-847)?
8
Calculate the smallest common multiple of 486 and 7*(7956/91)/17.
972
Let t be 4*(1 + 0) + -57. Let s = t - -51. What is the lowest common multiple of 20 and (6 + s)*(3 + 4)?
140
Suppose -15*g + 1990 - 6685 = 0. What is the least common multiple of g/(-7) + 4/14 and 40?
360
Let u(s) = -6*s**2 + 48*s + 10. Let h be (-1*1)/(8/(-64)). Suppose -3*b - 4 = -x - 0, -x + h = -b. Calculate the smallest common multiple of u(8) and x.
10
Suppose -485 = -5*m + 8070. Let q = m - 100889/59. Let h = q + -2188/295. Find the common denominator of h and -16/33.
165
Find the common denominator of 139/30 and 14/350*(-38)/44.
1650
Let s be -1 - -6 - (13 - 1727). Calculate the common denominator of -10 + s/54 - 5/(-3) and 7/46.
46
Let t = -194 - -197. Suppose -v = -t*h + 39, -h - v - 15 = -2*h. Calculate the common denominator of h and -49/282.
282
Let w = 808/35 - 109/5. Let p be (386/6)/(3/(-9)). Find the common denominator of p/24 + 8 + (-4)/(-6) and w.
56
Suppose 44 = -3*p + 4*j - 69, 4*p + 142 = j. Let i = -67 - p. Find the common denominator of i and 29/17.
17
Let k(g) = 2*g**2 + 3*g + 79. Let z be k(-8). Let r = 220 - z. Calculate the least common multiple of 9 and r.
333
Let u be 7576/6*(-6)/(-28). Let v = -38013/140 + u. Calculate the common denominator of ((-3)/16)/(2664/2368) and v.
60
Let s = 151162 + -16325401/108. Calculate the common denominator of s and (-197)/120 - 2/(-8).
1080
Let x(g) = g**2 - 9*g - 10. Let c be x(10). Suppose c = -816*v + 813*v + 33. What is the least common multiple of 32 and v?
352
Let c = 36291207 - 798735219/22. Let m = c - -14943. Let s = -166 + 357/2. What is the common denominator of m and s?
22
Let s = -620483 + 620679. Let y(h) = 8*h + 4. Calculate the lowest common multiple of y(3) and s.
196
Let r = -30559 + 1161145/38. Let d be 4304/24*((-13)/(-2244) - 0). Let o = d - -1/153. What is the common denominator of r and o?
418
Let g = 2871 - 1251. Let x = -6515/4 + g. Find the common denominator of (-3)/(-16)*(5 - -5) and x.
8
Let d be 0*(9/2)/(-9). Suppose 40*j - 27*j - 130 = d. Let b = 4 + 4. Calculate the least common multiple of b and j.
40
Let q(u) = 4*u**2 - 217*u - 128. What is the lowest common multiple of q(56) and 12?
264
Let p = 39 - -6. What is the lowest common multiple of p and (-1 - -13) + (-78 - -156)?
90
Suppose -4*x + 249 = -55. Suppose -99*z = -96*z. Suppose -8*g - 4 + x = z. Calculate the least common multiple of g and 6.
18
Suppose -2*x - 6 = 2*o, 2*o + 0*o + 6 = -3*x. Suppose -5*m + 2 + 48 = x. What is the smallest common multiple of 2/(-9) - 60/(-27) and m?
10
Let k(t) = t**2 - 4*t - 10. Let g be k(8). Suppose -9*y + 20*y - g = 0. What is the smallest common multiple of y and 76?
76
Suppose -753*m - 60 = -752*m. Calculate the smallest common multiple of (-15)/((-1)/(-3)*135/m) and (1 + 1)*(-1 + 3).
20
Suppose 2*z - 220 = 4*m, 2*z + 3*m = 101 + 154. Calculate the least common multiple of 90 and z.
360
Let d be (-1 - -6) + (19615/30)/1. Let s = d - 675. Find the common denominator of (-1)/(-2) - 23/24 and s.
24
Let o = -326 - -356. Let x = -248 - -293. Calculate the least common multiple of o and x.
90
Find the common denominator of -67/3228 and (-63)/(-30)*13/9.
16140
Let n = -6434 + 19360/3. Let w(a) = a - 1. Let c be w(0). What is the common denominator of 1/c + (-54)/(-20) and n?
30
Let b be ((-312)/(-40))/(-13) - 37/5. What is the smallest common multiple of 46*(-6)/b*2 and 18?
414
Let m = 48564525979/999 - 48613147. Let y = -7/999 + m. Find the common denominator of -173/60 and y.
180
Suppose 3*x - 19253 = j, -2*x = -5*j + 31187 - 127478. Let o = -385279/20 - j. Calculate the common denominator of o and -55/78.
780
Suppose 0 = 2*a - 5*a. Suppose -37*i + 31*i + 108 = a. Calculate the smallest common multiple of 3 and i.
18
Let q = 114 - 109. Suppose -65 = -4*p + q*l, -4*l + 22 = 3*p - 19. Let o(b) = b**2 + 2*b + 3. What is the least common multiple of p and o(-5)?
90
Suppose -4 = -b + 7. Let i(z) = 3*z - 24. Let u = -193 - -195. What is the least common multiple of u and i(b)?
18
Suppose 21*k - 27*k = -660. Calculate the lowest common multiple of k and (20 - 10)*2*(-27)/(-12).
990
Suppose 34*u = 23*u + 88. Let f = 45559/1360 + 1/1360. What is the common denominator of u/(-352)*1*-27 and f?
44
Let w = 2264 - 36323/16. What is the common denominator of 15/136 and w?
272
Let n = 20/32453 - -2336609/52671219. Calculate the common denominator of n and -75/4328.
12984
Suppose -2*s + q = -51 + 26, -s = q - 5. Calculate the least common multiple of s and 370.
370
Suppose -q = 3*h - 46, -86 = -12*h + 7*h - 4*q. Let y(b) = 3*b - 41. What is the smallest common multiple of y(h) and 17?
17
Let c = -1070 + 1114. What is the smallest common multiple of c and 120?
1320
Let s be (-8 + 3)*-26 + 2. Find the common denominator of 6/2 + (6 - 1218/s) and (4/12)/(4/294).
22
Let s = 6024975 - 28970621. Let y = s - -1101519751/48. Let i = 8035/3 - y. Find the common denominator of -19/136 and i.
272
Let s be 9 + (-63690)/7035 + 2/14. Let z = s - 1291/201. What is the common denominator of -20/81 and z?
81
Let o = 4511/1860 + 102/155. Find the common denominator of -8/477 and o.
1908
Suppose 5*q = 3*d - 8, -620 = 5*d - 3*q - 644. Calculate the smallest common multiple of ((-4)/6)/(8/(-36)) and d.
6
Let z = 5846 + -187035/32. Find the common denominator of z and ((-7)/14)/((-5568)/216 - -20).
416
Let m = 391/4 - 115. What is the common denominator of -50/3 and m?
12
Suppose 2*a + 1449 = -k, 0 = 3*k + 4*a - 1544 + 5895. Let u = -36334/25 - k. Find the common denominator of 37/80 and u.
400
Let f = -6148957/120 - -51241. Calculate the common denominator of 4/273 and f.
10920
Calculate the common denominator of 2289/(-456) + 2/(-19) and ((-424)/3480)/((-4)/78) - 2.
1160
Let u = -9951315189/3848 - -2586101. Let h = u + -2/481. Find the common denominator of 25/188 and h.
376
Let g = 246083/119070 - 1/23814. Calculate the common denominator of -38/2799 and g.
13995
Let h(n) = n**3 + 8*n**2 - 3*n - 8. Let c be h(-8). Suppose 3*y = c*y - 182. What is the lowest common multiple of y and 8?
56
Suppose 0 = 2*q - 11 - 1. Calculate the least common multiple of (0 + -2)*-15 - (6 - 0/8) and q.
24
Let b = 54 + -24. Suppose 0 = -161*t + 156*t + 2*p + 13, -p = -2*t + 4. What is the lowest common multiple of b and t?
30
Let w = -88 - -109. What is the lowest common multiple of (-3)/21 - 9308/(-182) and w?
357
Let i = 57 + -51. Suppose -f = -i*f + 20. Calculate the common denominator of ((-6)/40)/(-2*f/624) and -16/9.
90
Let r = 748087/2 + -244998548/655. Find the common denominator of r and 52/4323.
43230
Let f(c) = c**3 - 2*c**2 + 3126. Let w be f(0). 