 4. Find the common denominator of (1/z)/((-903)/3182) and (7/12)/((-22)/8).
231
Let b(z) = 153*z + 7930. What is the smallest common multiple of b(-50) and 24?
840
Let z(m) = -m**3 + 16*m**2 + 31*m + 8. Let x be z(-14). Let u = -414433/76 + x. Calculate the common denominator of -39/10 and u.
380
Let g = 736 - 398. Let r = g + -1353/4. Calculate the common denominator of r and -127/230.
460
Let l = 203 - 213. What is the common denominator of 62/18 + (-1 - -2) and (30 - 80)/((-24)/l)?
18
Suppose -4*w = -2*y - 4, -2*w + 0*w = -6. Suppose 3*c + 23 = 2*q, -q = y*c + 3 - 9. Calculate the least common multiple of q and 4.
20
Suppose 19 = m + 6. Suppose -7*y = -11*y + 80. What is the smallest common multiple of (m - 4)/((-3)/(-6)) and y?
180
Calculate the lowest common multiple of 2512 and 364/70*1*5 - 4.
27632
Find the common denominator of -20*(-7)/9744*(-124)/(-16) and -73/1740.
6960
Let l = -11960 + 12020. Calculate the smallest common multiple of 2376 and l.
11880
Let i(c) = c**2 - 3*c + 4. Let r be (-11)/(33/28)*(-24)/28. What is the lowest common multiple of (-99)/(-12)*(r + 0) and i(4)?
264
Suppose 51*k - 3351 = -105*k + 6009. Calculate the smallest common multiple of 34 and k.
1020
Calculate the lowest common multiple of ((-60)/80)/((-255)/(-64) + -4) and 552.
1104
Let i = -123951/1365940 - -301/5028. Calculate the common denominator of i and -7/489.
4890
Let m(j) = 5*j**2 + j - 2. Let v be m(1). Suppose -5*h + 5*c = 3*c - 226, 2*c = -v*h + 170. Let f = h + -26. Calculate the least common multiple of 12 and f.
36
Let r = 7255/56 + -1053/8. Find the common denominator of -7/314 and r.
2198
Let w(o) = -60107*o**3 - o**2 - 8*o + 9. Let z be w(1). Let n = 14185319/236 + z. Find the common denominator of n and -113/6.
708
Let j be 2/8 - (-2075)/20. Suppose 4*r - 80 = -4*t, -r = -5*t - 4*r + j. Let u = 40 + -24. What is the smallest common multiple of u and t?
176
Let a = -1/1792 + 127241/16128. Let s = 2557589099999/11745 - 217759815. Let f = 1/2349 - s. Find the common denominator of f and a.
45
Let g be 1 + 4*-1 + 6026/(-12). Let f = 499 + g. Find the common denominator of -143/6 and f.
6
Let n(g) = 3*g**2 - 21*g + 1. Suppose -5*y = f - 42, 3*y - 5*f + 3*f - 33 = 0. What is the smallest common multiple of n(y) and 15?
165
Let b = 1052 - 1044. Calculate the common denominator of (-53)/3 - (2 + -1) and b - 16 - 77/(-5).
15
Let k be 93934/(-88) + ((-24)/(-44))/3. Let q = -1059 - k. What is the common denominator of q and -11/80?
80
Let w = -4525256/203 + 22292. What is the common denominator of ((-3332)/180)/(-7) - (-1)/(-5) and w?
1827
Let z be 12/9 + (-132)/(-9). Calculate the least common multiple of 70 and (12/z*5)/(9/96).
280
Let u = 82494863/1154 + -71486. Calculate the common denominator of -73/2 and u.
1154
Let a be 21/14 - (-1)/2. Suppose 0 = -3*s - 2*x + 27 - 1, 2*x = a. Let t = -2588 + 2673. What is the least common multiple of t and s?
680
Let m = 36588 + -36546. Suppose o = 2*o - 22. Calculate the lowest common multiple of o and m.
462
Let t be 9/(-674)*((-450)/27 + -3). Let m = t + -8531/81891. Find the common denominator of m and -5/6.
486
Suppose 3*k - 600 = g, 1852 = -3*g - 13*k + 9*k. Find the common denominator of -1 - 2*(-178)/(-264) and -3 + 19/6 + (-1581)/g.
132
Calculate the smallest common multiple of 21880 and ((-880)/2420)/((-2)/110).
21880
Suppose -17*t = -25*t + 440. Suppose -98 = -17*u + t. Calculate the lowest common multiple of u and 2.
18
Suppose -18*m + 31*m = 130. Suppose 20 = 4*q + 4*i - 6*i, -m = -5*i. Calculate the lowest common multiple of 20 and q.
60
Let w be 1/(-8) + (-85)/(-40). Suppose -2*q = 3*q - w*r + 34, -12 = 3*q + 3*r. Let p(y) = -2*y + 21. What is the least common multiple of p(q) and 30?
330
Suppose -5*w = 4*n - 2624 - 2907, 16*w = 3*n - 4168. What is the lowest common multiple of n and 72?
12456
Let k = 7579/34 + -3662/17. What is the common denominator of k and 27/398?
398
Let a(z) = z - 9. Calculate the least common multiple of a(15) and -1 - (0 + (2 - 147)).
144
Let m be (64/6)/((-10)/75). Let g = -224 - -141. Let l = m - g. What is the smallest common multiple of l and 4?
12
Suppose -48*c + 608 + 256 = 0. Let v = 170 - 78. Suppose 5*t - v = -2*k, 5*t - 5*k - 87 = -2*k. Calculate the least common multiple of t and c.
18
Suppose -21*a = -3*a - 216. What is the common denominator of (-324)/432 - (-73)/a and -56/87?
87
Let k = -13300603/584 - -22775. Find the common denominator of -33/292 and k.
584
Let p = -376 + 522. Let v = 240 - 234. What is the smallest common multiple of p and v?
438
Let m(h) = h**2 - 35*h - 331. Calculate the lowest common multiple of m(-8) and 156.
156
Suppose 200*v - 189*v = -462. Suppose -4*j + 10 = -2, -j + 12 = x. What is the least common multiple of 5 - 186/v - (-15)/(-35) and x?
9
Suppose 5*j - 143 = -103. Suppose -26*n + 234 = 13*n. What is the least common multiple of n and j?
24
Let n = 104061 + -4578701/44. Let y = -3580 + 57245/16. What is the common denominator of n and y?
176
Let k = 182 + -1451/8. Find the common denominator of k and ((-109)/72)/((-12)/(-9)).
96
Let r = -29975 + 2098191/70. Find the common denominator of 71/100 and r.
700
Let l(a) = -59*a + 21. Let z be l(6). Calculate the common denominator of -47/9 and -3 + (-4 - 2190/z).
333
Suppose -190 = -3*s - l, -4*s - 5*l + 2*l = -250. Suppose -s*c + 66*c - 40 = 0. Let q = c + -4. What is the least common multiple of q and 6?
48
Let d be 1/3 + (-57222)/4239. Let q = d + -1/942. What is the common denominator of ((-107)/(-99) - 1)/(1/(-3)) and q?
66
Let b = 128161 + -1023763/8. Let z = 203 - b. What is the common denominator of z and (1 - 1) + 59/(-7)?
56
Let w be 2 + 20/(-11) + (-1384)/(-11). Suppose 13*f - w + 9 = 0. Let s = 23 + -14. What is the least common multiple of f and s?
9
Suppose -5*h = -5*r + 95, -2 = h + 2. Let l be r/(-2)*(-16824)/220. Let p = 115223/198 - l. What is the common denominator of -73/12 and p?
36
Suppose 91*a = 7*a + 2688. What is the lowest common multiple of 720 and a?
1440
Let d(y) = 5*y**2 + 43*y + 27. Let w be d(-13). What is the common denominator of (-4)/(-20) - w/390 and 55/27?
702
Let k(o) = -o**2 - 6*o + 8. Let b be k(-7). What is the common denominator of 101*b/10*1 and 790/(-3)*(-1)/28 - 168/(-392)?
30
Let k(x) = x**3 + 10*x**2 + 10*x + 7. Let c be k(-9). Let y = -5491 - -5515. What is the lowest common multiple of y and (3 + 63)*(-1)/c?
264
Suppose 5*k = 5*m + 715, 4*k + 2*m = 3*m + 563. What is the smallest common multiple of (-14)/1*(-70)/k and 62?
434
Suppose -3*q - 3*l = -153, 254*q - 253*q - l = 57. Calculate the lowest common multiple of 342 and q.
1026
Let x = -103162366232647/29428 + 3505585375. Let f = x - -3/4204. Let v = -10695/4 - -2659. Calculate the common denominator of v and f.
28
Let g = 7 - -3. Suppose -128 = -120*i + 116*i. Suppose -40*z + i = -36*z. What is the least common multiple of g and z?
40
Let d = 20/54619 - 5673330549/1092380. Let w = d + 5196. What is the common denominator of -57/56 and w?
280
Let r(w) = -22*w - 2. Calculate the lowest common multiple of r(-2) and 81/4 - 7*(-13)/(-364).
420
Let y = -8243449265/596 - -13831273. Let m = 11/298 - y. Calculate the common denominator of 34/7 and m.
28
Calculate the common denominator of -61/255 and ((-596)/190 - -3)*8/36.
14535
Suppose -h + 212 = 3*h. Let t = h - 36. Suppose -3*u + t = -37. What is the smallest common multiple of u and 20?
180
Let a(o) = -o**2 - 15*o - 48. What is the least common multiple of 12/60 - 169/(-5) and a(-9)?
102
Let v(i) = 17*i**2 + 6*i - 2. What is the lowest common multiple of v(4) and 735?
1470
Let y be (-1)/(-2) + (-1585)/3210. Let z = y - -2531/214. What is the common denominator of z and 65/214?
642
Let l = 27765 - 1166009/42. What is the common denominator of -21/298 and l?
6258
Let o = -62861675606/16735569285 - -1179/2235881. Let u = -11/998 + o. Find the common denominator of -107/14 and u.
210
Let l = 3476671/140 + -124182/5. Calculate the common denominator of 1/((-128)/(-134)) - 0 and l.
448
Let f(m) = 7*m - 28. Let g be f(6). Suppose g + 64 = 2*c. Suppose -9*j + 7*j + c = k, -k - 49 = -2*j. What is the lowest common multiple of j and 28?
308
Let z(h) = h**3 + 124*h**2 + 597*h + 326. What is the smallest common multiple of 55 and z(-119)