 (3/90)/((-82)/6109) and (-483)/(-270) + 0 - 1.
180
Let y = 223676/315 - 10606/15. Let w = y - 14611/3654. Let i = 12/1117 + 52235/24574. Calculate the common denominator of i and w.
638
Suppose -80733 - 512 = -59*c + 31917. Calculate the smallest common multiple of 12 and c.
11508
Let p = 10855 + -10207. Calculate the smallest common multiple of 1863 and p.
14904
What is the common denominator of ((-255)/108)/(7 + -9) and -59/244?
4392
Suppose -13*s - 88 = 42. Let z = 20 - s. Calculate the smallest common multiple of z and 12.
60
Let s = 36302048 - 907874062/25. Let n = s + 12917. What is the common denominator of n and 29/10?
50
Let w = 2153/3213 - 38/459. Calculate the common denominator of w and -26/49.
441
What is the common denominator of 101/104 and (-61)/(-10868)*-41 + -7 + (-58)/(-8)?
21736
Suppose 12 = 11*k - 21. Suppose 0 = -k*x - 2*v + 11, 0 = -x - 3*v + 8*v + 15. Suppose 42 = x*z + z. What is the lowest common multiple of 4 and z?
28
Let z be (-3)/6 - 21/(-6). Suppose 0 = 5*h + z*f - 14945, -4*h + 0*f + 11956 = -3*f. Let r = h - 44857/15. Find the common denominator of r and 34/3.
15
Suppose 1272*s - 12677 = 11087 + 1676. Suppose -v + 39 + 383 = 0. What is the lowest common multiple of s and v?
4220
Let w(h) = 12*h**2 - 6*h - 46. Let a be w(10). Find the common denominator of a/156 - 6*2/(-78) and 125/102.
102
Let m(a) = a**2 - a + 47. Suppose 3*d + 51 = 4*i, 0 = 91*i - 96*i - 2*d + 35. Calculate the least common multiple of m(0) and i.
423
Let q be 4/8 + 3/(-6). Suppose -9*o + 342 = -q*o. Suppose 6 - o = -y. What is the least common multiple of y and 10?
160
Let x be -5 + (-1614)/324*-1. Let v = x - -1261/54. Find the common denominator of -29/24 and v.
24
Suppose -1813*q = -1814*q + 2. What is the smallest common multiple of q and 9146?
9146
Let r(i) = -i + 20. Let c be r(17). Suppose -4*j + 85 = -5*f, -c*f - 4 = f. What is the least common multiple of j and 28?
140
Calculate the lowest common multiple of -3*400/(-8) + -16 and 2.
134
Let g(o) = 1958*o + 125314. Let d(c) = -c**2 + 5*c + 8. Let t be d(6). Calculate the lowest common multiple of (-3)/((-3)/t) + 188 and g(-64).
190
Suppose 4*a - 183 = 149. Suppose -x - 82 = -a. Calculate the least common multiple of 229 and x.
229
Suppose 0*i - 10 = i. Suppose -6*p - 5004 = -0*p. Calculate the common denominator of (p/(-30))/(24/i) and -123/10.
60
What is the lowest common multiple of (-5176)/(-72) + 1*(-2)/18*-1 and 44?
792
Let t = -2430 - -24279/10. Calculate the common denominator of 4/(-7) + 1311/(-1330) and t.
70
Let u = -5111/372 - -85/6. Calculate the common denominator of (1/9)/(58/(-8787)) and u.
372
Let b(f) = f**2 + 6*f - 66. Suppose 0 = 14*h - 0*h - 84. What is the lowest common multiple of 18 and b(h)?
18
Suppose 7*s + 17 = 2*a + 2*s, 4*s + 7 = -5*a. What is the common denominator of -81/4 and 57/18 - a/4?
12
Let t = -2465 + 2536. Let c(d) = 4*d**3 + d**2 - d. Let v be c(1). Suppose v*q - t = -23. Calculate the smallest common multiple of 10 and q.
60
Let s = 16615 - 6147577/370. Calculate the common denominator of s and -17/925.
1850
Suppose 3*k = 106 - 82. What is the common denominator of 1/48 and k/16*(-27)/8?
48
Let p(q) = q**3 - 2*q**2 + 17*q - 14. Calculate the lowest common multiple of 110 and p(8).
2530
Suppose -32*i - 1100 = -12*i. Let z = i + 75. What is the smallest common multiple of 1*(0 + -2)/(-2) and z?
20
Suppose 296*l - 8335 = 1433. Calculate the lowest common multiple of l and 21153.
21153
Let o(l) = -l**3 + 6*l**2 + 3*l - 15. Let p(i) = -2*i + 7. Let d = 85 - 85. Calculate the least common multiple of o(6) and p(d).
21
Suppose 0 = -140*j + 153*j - 260. Calculate the smallest common multiple of 468 and j.
2340
Suppose 0 = -d + v - 12 - 48, 5*v - 60 = d. Find the common denominator of (-38)/d + (-2)/(-4) and -29/24.
120
What is the common denominator of ((-4)/60)/(56/1820) and -87/904?
2712
Let d = -162565/12 - -13555. Let o be -67*((-1)/1)/1. What is the common denominator of d and o/63 - (-8)/(-28)?
36
What is the common denominator of -107/112 and (632*11/1232)/(-151)?
16912
Let b be (-9)/(-9) - 6903474/(-100). Let c = b + -69038. Find the common denominator of c and -39/40.
200
Let i = 17298/7 - 3598243/1456. Calculate the common denominator of i and 7/416.
416
Let s(u) = 77*u - 2131. Calculate the smallest common multiple of s(31) and 88.
2816
Suppose 0 = -4*m + 4*z + 8 + 8, 2*z = 3*m - 19. What is the smallest common multiple of 2831 and m?
31141
Let z = -31225759/372 + 83940. Find the common denominator of z and (45/630)/((-15)/1113).
1860
Let m = -34626 + 37200. What is the lowest common multiple of m and 2106?
23166
Let b = 24227/15 - 2147689/1330. Let z = b + 1/266. Calculate the common denominator of (143 + 0)*(-20)/(-120) and z.
6
Let u(g) = 5*g**3 + 3*g - 3. Let m be u(1). Suppose -4*j - 436 = -5*h, m*j - 64 = -h - 0*h. What is the least common multiple of h and 10?
420
Let w = 29596/9 - 331235/99. Let a = w + 2455/66. Find the common denominator of 75/22 and a.
66
Suppose -2*c = 4*v - 70, 4*v - 116 = 3*c - 41. Calculate the lowest common multiple of 543 and v.
3258
Suppose -7*k = -5*k - 442. Suppose 244 = 3*i - k. Let t = -4180/27 + i. What is the common denominator of t and 86/21?
189
Suppose 5*h + 10 = -3*g, -5*g + 6 = -0*h - 3*h. Suppose g = 4*s - 20, -b - 3*b + 4*s = 140. Let y = b + 46. What is the least common multiple of y and 2?
16
Let k(w) = w**3 + 10*w**2 - 8*w - 12. Let m be k(-12). Let h = -189 - m. What is the lowest common multiple of h and ((-18)/(-10))/((-3)/(-15))?
45
Let o(m) be the second derivative of m**4/12 + 2*m**3/3 - 11*m**2 + 19*m. Let y be o(-7). What is the common denominator of -7/15 and y/12*13 - 0?
60
Calculate the common denominator of -33/416 and (204/18)/(-34)*2/(520/606).
2080
Calculate the common denominator of -3 + (-45)/(-9) + (-1156)/512 and 31/4.
128
Let i = -31 - -27. Let n be -4 - -2 - ((2 - 5) + i). Suppose 3*k + y + y = 31, 60 = 5*k + n*y. Calculate the least common multiple of 5 and k.
35
Let a = -593 - -16655/28. Let o be 53334/(-324)*1/78. Let w = o - 10/351. What is the common denominator of a and w?
252
Suppose 286 + 341 = 3*a. Find the common denominator of 51/32 and -1*((-1)/(36/a) - -3).
288
Let f(p) = 13*p - 78. Let q be f(7). Suppose 3*u = -3*x + 111, -116 - q = -3*u + 3*x. What is the lowest common multiple of 55 and u?
440
Find the common denominator of 9/26878 and (47/(-8) - -6)/(22/(-858)).
107512
Let r = -9529 - -143014/15. Find the common denominator of 3/(-10) - 51/(-18) and r.
15
Suppose 464 = 5*n - n. Suppose m + 179 = 4*q + 54, 4*m + n = 4*q. Calculate the smallest common multiple of 5 and (-2)/(1 + q/(-28)).
70
Let d = 33305/18 - 5563/3. Let r = -46/15523 + 45654155/341506. Let f = r - 135. Calculate the common denominator of f and d.
198
Calculate the least common multiple of 849 and ((-12)/8)/((-9)/4)*63/14.
849
Let i be (-43471729)/(-546) + -1 + 5. Let u = i + -79624. Calculate the common denominator of u and -70/27.
702
Let f = -207017659/2451 + 168925/2. Find the common denominator of 139/1806 and f.
34314
Let t(y) = -y**2 - 12*y**3 + 2*y + 170 + 0*y**3 - 168. Calculate the least common multiple of t(-1) and 54.
594
Let v = 20165/37401 - 2/2877. Calculate the common denominator of 3/257 and v.
3341
Suppose 1823 - 397 = -62*j. Let a(i) = -29 + 0*i - 2*i + 5. Calculate the lowest common multiple of 12 and a(j).
132
Let o = -22594 + 22636. What is the lowest common multiple of o and (-4)/(-10) + (-176)/(-10)?
126
Let o(v) = 7*v**2 - v. Suppose 3*g = -z + 5*z - 766, 3*z + g - 568 = 0. Let p = z + -150. Calculate the lowest common multiple of p and o(-1).
40
Suppose 5*n - 63 = -2*o, -90 = -3*o - o + 2*n. What is the common denominator of (-1874)/(-168) + o/56 and -83/12?
12
Let x(o) = -o**2 + 203*o + 2372. Calculate the smallest common multiple of (-807)/(-2) - 4/(-8) and x(-11).
3636
Let j = 13137 - 10011. What is the smallest common multiple of j and 27?
28134
Let v be (-1)/(0 - -1) + 23736/168. Let g = v - 15551/112. Find the common denominator of (142/15)/(8/(-5)) and g.
48
Let d = -7 - -7. Let h(k) = -3*k + 1444. Let o be h(d). What is the common denominator of (-4)/(-7) + o/462 + -3 and 35/33?
33
Let t(o) = o**3 + 5*o**2 + 7*o - 2. Let i be t(-4). Let p be (8/i)/(