7352. Let z = 778/171 + t. Find the common denominator of 35/129 and z.
387
Let w = 145 - 148. Calculate the smallest common multiple of 14 and (2 - ((-23)/w + -5))*-21.
14
Suppose -2*q = k, -q - 3*k = -0 + 5. Calculate the lowest common multiple of 232 and (-75)/(-3) + (q - 10).
464
Let s = -27 - -43. Let m(q) = q**3 - 17*q**2 + 16*q + 3. Let v = -41 - -46. Calculate the lowest common multiple of m(s) and v.
15
Let z = -3260585/134 + 24333. Calculate the common denominator of z and 49/34.
2278
Let f(m) = m**2 - 25*m + 759. Calculate the least common multiple of 207 and f(0).
2277
Let w = 34 + -10. Calculate the lowest common multiple of 224/w + (-2)/6 and (-3 + (-4 - -6))/((-2)/10).
45
Let t be (-6)/6820*(-107295)/216. Let n = -1/2046 - t. What is the common denominator of ((-12)/20)/(22/65) and n?
176
Let k(d) = -17*d**2 + 139*d - 47. What is the lowest common multiple of k(6) and 210?
1050
Let t(j) = 35*j**2 - 19*j + 136. What is the least common multiple of t(-4) and 4?
772
Suppose 0 = -4*b + l + 17834, 5*b + 2*l + 3238 = 25537. What is the lowest common multiple of 1029 and b?
13377
Suppose -a + 10 + 35 = 0. Let d(r) = -6*r**2 - 215*r - 160. Calculate the least common multiple of a and d(-35).
45
Let r(f) = -665*f + 4692. What is the least common multiple of r(6) and 78?
702
Let x = -3931/255 - -7/85. What is the common denominator of 1/(-3) - (-21)/8*1 and x?
24
Let w = -15445 + 16142. What is the smallest common multiple of w and 5?
3485
Suppose -29*a = -15*a - 6776. Calculate the common denominator of a/(-200) - 12/(-60) and -59/55.
550
Suppose -274*i + 1063625 = 105*i - 347392. Calculate the smallest common multiple of 68 and i.
14892
Suppose -43781 = -68*w + 18779. What is the smallest common multiple of w and 2300?
4600
Let w = -9065552517630034/77126423925 + 332054606/2825. Let u = -4/23761 - w. Let y = -102181/11490 - u. Find the common denominator of y and 13/6.
30
Let n be 283/(-4) + (-18)/(-24). What is the common denominator of (306/45 + -7)/((-24)/n) and 11/24?
24
Let i = 164 - 166. What is the common denominator of ((-9)/(315/i))/((-4)/305) and 31/156?
1092
Suppose -48 = h - 39. What is the common denominator of -8 + h + (-3553)/(-165) and (-3)/(126/50) - -2?
105
Suppose -4*w - 232 = 2*g + 86, 2*w + 165 = 5*g. What is the common denominator of ((-28)/18)/(20/w) and -7/29?
261
Let q = -329285 - -183741097/558. What is the common denominator of -167/120 and q?
11160
Suppose 158*x = 55899 - 20165 + 28256. Calculate the least common multiple of x and 510.
13770
Let w = -18827 - -847139/45. Find the common denominator of (-4)/12 + 101/195 and w.
585
Let o = 5924 - 5921. Calculate the smallest common multiple of 60 and o.
60
Let w be 0 - -5 - (299301/(-150) + -1). Let l = 2002 - w. Find the common denominator of l and -51/35.
350
Suppose 9*o - 216 = 225. Calculate the lowest common multiple of o and 308.
2156
Calculate the common denominator of (2 - (-88)/(-42))/((-24)/(-1162)) and (-33)/666 - 1/(-3).
666
Let n = 188 - 183. Calculate the smallest common multiple of n/(5 + (-7)/((-7)/(-4))) and ((-2)/1)/(-2) - -7.
40
Let p be 49529/(-504) - (-4)/14. Let d = -755/8 - p. What is the common denominator of d and 2*(-12521)/1444 + 15?
342
Let m be (4 - -6)/(-5 - -4). Let c = -469603/22 - -21342. Calculate the common denominator of c and m/(-2) - (-3705)/(-312).
88
Let x be (-117)/(-156)*(-4 - -12). Suppose -29 + 113 = -2*n. What is the common denominator of -40/3 and ((-2)/((-28)/x))/(n/462)?
21
Let b = -4521930929/4222 - -1071040. Find the common denominator of b and -1/16.
33776
Calculate the common denominator of (-12)/22 + 2708466/413622 - (0 + 6) and 79/18.
37602
Suppose 5*p - 2*a = 39, 0 = -5*p + 2*p - a + 30. Let o = 2134/5 - 33979/80. Find the common denominator of (-9)/(p/4) - 26/44 and o.
176
Let m(d) = d**3 - 9*d**2 + 23*d - 16. Calculate the lowest common multiple of m(8) and 182.
728
Let f = -6277852 - -200907865/32. Let y = -1039/2 + f. Find the common denominator of y and 101/164.
1312
Let o be 2292/8 + 6 + 2/4. Let g = o + -3613/12. Calculate the common denominator of g and -101/16.
48
Suppose s - 301 = 3*y, 3*y = 12*s - 7*s - 1457. What is the lowest common multiple of s and 646?
10982
Let t = -14228592681105/16777 - -848101131. Let z = -4/6181 - t. What is the common denominator of 44/19 and z?
133
Let r = -1411 - -5617/4. Find the common denominator of ((-2)/32)/(6416/2144 - 3) and r.
8
Let k = 7942 - 31829/4. Find the common denominator of -1/9368 and k.
9368
Suppose 1386 = 85*p - 64*p. What is the smallest common multiple of 27 and p?
594
Let t(u) = -u**2 + 69*u - 490. Calculate the smallest common multiple of t(49) and 20.
980
Let z(a) = -a**2 - 9*a - 58. Let s be z(-19). Let n = -465/2 - s. What is the common denominator of n and 42/5?
10
Suppose 0 = -5*h + 2*h + 273. What is the smallest common multiple of 741/(-39) - -5 - (-135 - -4) and h?
819
Suppose -b - 8330 = -15*b. Suppose 20*m + 155 - b = 0. What is the least common multiple of m and 6?
66
Let s = -74789/168 - -3119/7. Find the common denominator of 79/48 and s.
336
Let l(i) = 81*i - 1953. Calculate the lowest common multiple of l(25) and 108.
216
Let j = -361/100 - -18/5. Let d(m) = 8000*m**2 - 2*m + 2. Let x be d(1). Let h = -127921/16 + x. Calculate the common denominator of j and h.
400
Let v = -3/4 + 3/2. Suppose -5*n = -109 + 114. What is the common denominator of v and n/((-2124)/(-628) - 3)?
60
Let j be (1/(-3) - 0) + (-20)/(-15). Let p = -583 - -6418/11. Find the common denominator of 4*j*66/(-12) and p.
11
Suppose 2*m - 6*i - 10 = -2*i, -4*i = -4*m + 16. Let r(x) be the first derivative of -x**2 + 4*x + 344. Calculate the common denominator of r(m) and 79/2.
2
Let h = 15969493/176 + -90736. What is the common denominator of 109/28 and h?
1232
Let p(u) = -u - 6. Let g be p(0). Suppose 69 = -15*c - 36. Calculate the common denominator of -67/32 and (917/g)/c - 0.
96
Calculate the common denominator of (-9)/15*15 + (-1025)/(-116) and 29/12.
348
Suppose 36*t + 113 = 329. What is the lowest common multiple of ((40/(-3))/5)/(t/(-27)) and 63?
252
Calculate the common denominator of 17/400 and 3/450*1*(-10564)/152.
1200
Suppose -6*h + h = 4*y - 1213, 7 = -h. What is the lowest common multiple of 104 and y?
312
Let s(v) = -v**2 - 6*v - 2. Let d = -26 + 50. Let h = d - 28. What is the lowest common multiple of s(h) and 6?
6
What is the common denominator of 0*(-50)/(-2150) + (99/481)/(-3) and -56/1443?
1443
Let s(p) = 32*p**2 - 15*p + 27. Let u(c) = 3*c**2 + c. Let y(d) = -2*s(d) + 22*u(d). What is the smallest common multiple of y(-29) and 150?
600
Let s(n) = n**3 - 14*n**2 + 42*n + 10. Let k be s(10). Suppose -k*t = -30061 + 10021. Calculate the smallest common multiple of t and 4.
668
Suppose -6*y + 651 + 3861 = 0. Suppose 0 = -756*v + y*v + 528. Calculate the smallest common multiple of 16 and v.
528
Calculate the smallest common multiple of (84/70)/(1/((-160)/(-12))) and 20.
80
Let r = 59 - 54. Suppose r*j - 5*t - 3 = 27, j + 5*t = -18. Calculate the least common multiple of (-3*3)/(j/(8/(-4))) and 22.
198
What is the lowest common multiple of 1827/13 + 9144/(-468) + 20 and 1029?
48363
Let w = -8807 + 10182. Calculate the least common multiple of w and 4375.
48125
Let l = 268081/45220 + -774/133. Calculate the common denominator of -77/380 and l.
6460
Find the common denominator of 47/25 and (-248)/558*(-113)/40.
450
Let j = -24343 - -131759/6. Let r = j + 2377. Calculate the common denominator of r and -1*(7/8 + 0).
24
Suppose -6416 = -3*l + 11092. Let u = -350137/60 + l. What is the common denominator of u and -20/3?
60
Let o = 1189 + -16621/14. Suppose 0*r = -4*r - 1736. Let a = r - -8689/20. Find the common denominator of o and a.
140
What is the common denominator of -3/46 and 498/(-368)*(-7)/42*2?
184
Let c(t) = 20*t - 2. Let u be (-2)/4 - (42/(-12) + 1). What is the smallest common multiple of c(u) and (-6 + 7)/(1/2)?
38
Let h = 167 - 90. Let k = h + -76. Find the common denominator of 37/12 and k/(-6)*(-52)/14.
84
Let l(z) = -z**3 - 14*z**2 + 17*z + 7. Let t = 33 + -48. Let a be l(t). What is the least common multiple of 21 and a/(-7) - (-2)/(-7)?
21
Let m = 527/540 - 23/60. Calculate the common denominator of 109/744 and m.
6696
Suppose