What is the least common multiple of x and z?
231
Suppose -4*y + 5*y = -7. Let a(s) = 3*s + 31. What is the lowest common multiple of 8 and a(y)?
40
Let p = 11401/24892 - 64/127. What is the common denominator of 127/24 and p?
1176
Suppose 87*m - 255 = -2*i + 82*m, 4*i = 10*m + 370. What is the least common multiple of i and 5890?
64790
Calculate the common denominator of -163/540 and 5*(-2 - -1) - (-1292282)/255960.
1620
Suppose 0 = 5*z, 0*z - 184 = -2*j + 4*z. Suppose -4*g + 28 - j = 0. Calculate the common denominator of (-2)/(-54)*(-1032)/g and -123/10.
90
Suppose 3*q = -2*p + 122, p = -2*q - 4*p + 85. Calculate the common denominator of -41/10 and q/140 - 2026/84.
30
Calculate the common denominator of 410/(-1353)*(-14)/(-390) and 155/1386.
18018
Let w be 1/((-42)/(-2511)) - -1. Let m(l) = l**3 + 34*l**2 - 7*l - 177. Let v be m(-34). Let p = w - v. Calculate the common denominator of -19/8 and p.
56
Suppose 0 = h - 5*k - 8, k = -2*k. Let i = 14/323 - 21921/6460. Find the common denominator of i and (-3846)/(-7140) + 1*h/(-28).
340
Let m be (-2)/(-13) + (-1179581)/(-1352). Let j = 865 - m. Let o = 544/9 + -17741/288. Find the common denominator of j and o.
32
Let p = -129 + 140. Let r(u) = -u**3 + 4*u**2 + 7*u + 2. What is the lowest common multiple of r(5) and -2*p/2*(-13 + 10)?
132
Calculate the least common multiple of 207 and (35/(-70))/((-1)/18) + 93.
7038
Calculate the common denominator of ((-106)/(-30))/(-4 + 23/5) and -131/612.
612
Calculate the common denominator of -81/1936 and ((-5043)/1152)/(55/10) - 10/(-15).
7744
Let f = -636/65 - -21179/1560. Let m be (-5)/(5/(-2))*(-3)/2. Find the common denominator of f and 2/m + 1379/210.
120
Suppose 7*y + 35 - 7 = 0. Let f(c) = c**2 + 5*c + 8. Let k be f(y). Find the common denominator of k - (6105/(-70))/(-11) and -149/18.
126
Let y(r) = r**3 + 26*r**2 - r - 16. Suppose 0 = -3*n - 37 - 41. Let u be y(n). Calculate the common denominator of 58/(-16) + (u - (-7)/(-1)) and -3/16.
16
Let y(d) = d**2 - 7*d + 3. Let o be y(7). Let s be (o - 1668/368)/(3/12). Let u = 4199/276 + s. What is the common denominator of u and -31/20?
60
Let q = -454624/55 - -8267. Let g = -12887 + 579866/45. What is the common denominator of q and g?
495
Let q(n) = -328*n + 16. Let z be q(-9). Suppose -416 = -12*u + z. Calculate the lowest common multiple of u and 7.
1974
Let j = 670967993/1354 - 495545. Calculate the common denominator of -53/7 and j.
9478
Suppose 387480 = -241*m + 261*m. Calculate the smallest common multiple of m and 9.
58122
Suppose -n - 3*k - 2*k = -8, -2*k - 40 = -5*n. Let p(b) = 6*b - 22. Calculate the smallest common multiple of p(n) and 12.
156
Let i = 1867/3553 + -10/969. Calculate the common denominator of -133/246 and i.
2706
Suppose 13*v = 14*v + 3, 8 = 2*f - 2*v. What is the lowest common multiple of -1 + 0 - (-13 - 65/f) and 28?
308
Let d be (-1)/((-1)/(-4)) - 530/(-134). Let g = d + -6627/134. What is the common denominator of g and 61/4?
4
Let f = -35765 + 3719591/104. Find the common denominator of 139/546 and f.
2184
Let i = -2590126/135 + 19186. Calculate the common denominator of i and 50/63.
945
Let h be ((-293072)/888)/((-8)/771). Let p = -31807 + h. Calculate the common denominator of p and 33/8.
296
What is the lowest common multiple of 18 and (-6 - -12) + 66/(-12) + (-67438)/(-28)?
14454
Let x = 277338 + -177219052/639. What is the common denominator of x and -37/36?
2556
Suppose 8 = -9*d + 44. Let i = d - -3. Suppose 0*l = 7*l - i. Calculate the least common multiple of 9 and l.
9
Let l = 725 - 392. Suppose 3*y + 4*h = -h + l, 5*h + 409 = 4*y. Suppose 174 = 7*a - y. Calculate the least common multiple of a and 10.
40
Suppose 2*d + 150 = 4*b, b = 3*d + 180 + 50. Let k = 82 + d. Suppose 2*q + q - 29 = -o, -q + 5 = k*o. What is the least common multiple of q and 4?
20
Let r = -1643/14 + 695/6. Calculate the common denominator of -20/2229 and r.
15603
Calculate the lowest common multiple of ((-311)/(-933))/((0 - 2)*2/(-456)) and 12.
228
Let q = 10 - -2. Suppose -q*r = -11*r - 5. What is the smallest common multiple of 6 and r - (-5)/3 - 4/6?
6
Suppose -20*h + 0*h = -14*h - 48. Suppose -2*i + 2*x + 63 = -95, 5*x + 239 = 3*i. What is the smallest common multiple of i and h?
312
Let q = -1/1429 - 61439/11432. Let j = 40106 + -1443871/36. Find the common denominator of q and j.
72
Let b = 3329 - 3302. Let x(l) = l**3 - 5*l + 5. Let u be x(2). Suppose -3*f = -3, u*s = -f + 41 + 14. What is the lowest common multiple of b and s?
54
Calculate the common denominator of 8 + -5 + 442/(-80) and (-511)/(-13140)*(-55)/6.
1080
Suppose -2*p - 6*p = 24. Let b(g) = -26*g - 18. What is the least common multiple of b(p) and 120?
120
What is the common denominator of -61/195 and ((-6)/4)/(27/(-894)*2)?
390
Let s = -11090 + 11375. Calculate the least common multiple of 342 and s.
1710
Let x(h) = -7*h - 92 + 4*h**2 + 41 + 0*h**2 + 43 + h**3. What is the smallest common multiple of x(-5) and 666?
666
Let t = 895/9 - 280/3. Find the common denominator of t and 53/1050.
3150
Let j(d) = -d**3 + 2*d**2 + 16*d + 15. Calculate the least common multiple of j(-1) and 6*-67*((-2)/2 - 0).
402
Calculate the common denominator of 2/88*(-14454)/1188 and -61/552.
6072
Calculate the common denominator of -35/2 and (-62975)/10575 - (2 - 8).
846
Let y(a) = -6*a - 31. Let t be y(-5). Let o be 1103 + -5 + 0 + 1. Calculate the common denominator of o/(-252) + t + 3 and 101/16.
144
Calculate the least common multiple of 11/((-198)/(-19688)) + (11 - 97/9) and 9.
9846
Let u = 15667961/41885370 - -1/155131. Calculate the common denominator of -5/207 and u.
6210
Let f = -366 + 445. Calculate the lowest common multiple of f + (-9)/2*30/45 and 10.
380
Calculate the smallest common multiple of (108/30)/(16/32 + 2/(-10)) and 604.
1812
Let s = -12/522991 + -1437175368/169972075. Let j = 146/25 + s. Let g = -2/10403 + -478516/114433. Find the common denominator of j and g.
143
Let h = 292 - 289. Suppose 0 = -s - h*s + 4*p, -3*s - 4*p = -28. Calculate the least common multiple of 796 and s.
796
Let k(x) be the second derivative of x**4/3 - 11*x**3/6 - x**2 + 16*x. What is the least common multiple of k(4) and 132?
396
Let u = -136 + 150. Calculate the least common multiple of 119 and 6/((5 - u/3)*3).
714
Let u = -54 + 64. What is the smallest common multiple of u and 328?
1640
Suppose -3*n - 2*r = -6*n + 7735, -7759 = -3*n - 4*r. Suppose 504 = 5*x - n. Let o = -1257/2 + x. Find the common denominator of 97/8 and o.
8
Let z = -1/1666 + 1675/14994. What is the common denominator of z and 0/1 - 540/165?
99
Suppose -43*k = -36*k + 861. Let d = -119 - k. Calculate the lowest common multiple of d and 44.
44
Let i = 47 + 90. Find the common denominator of (6/4)/(36/i) and (-284)/(-48) - 4/2.
24
Let x(m) = 331*m**3 + 5*m**2 - 5*m - 2. Calculate the smallest common multiple of x(1) and 470.
3290
Let v = -50/21 + 947/336. What is the common denominator of v and -91/40?
80
What is the least common multiple of 62 and 7 + 8/60 + (-136)/120?
186
Let p(i) = -41*i + 79. Let f be p(2). Calculate the common denominator of 1 + f - 417/(-214) and -79/6.
642
Let x be (6 + 38/(-6))*7615329/48. Let f = 52882 + x. What is the common denominator of -113/48 and f?
48
Let o be (-6)/(-12) + 19/2. Let q be (-4)/o - 246213/(-615670). Let i = q - 218273/111940. What is the common denominator of i and 17/10?
20
Let v be (-373 + 4 - 1) + 2. What is the common denominator of 16/(-32)*v/30 and -76/15?
15
Let x = 3768/2265397 + -14551536127976/1900668083. Let p = x + 7656. Let o = 74495/18458 - p. Calculate the common denominator of 47/4 and o.
44
Suppose 4*l + 0*h - 4*h + 916 = 0, 3 = 3*h. Let u = l + 230. What is the least common multiple of 98 and u?
98
Suppose -2*a + 327 = f + 59, -4*a = 8. Calculate the smallest common multiple of f and 14.
1904
Let z(q) = -q**3 + 13*q**2 - 34*q + 18. What is the lowest common multiple of z(3) and 1597?
9582
Let y = -511 - -519. Suppose -a - 1265 = -4*k, -15*k + 17*k = -3*a + 629. What is the least common multiple of k and y?
632
Let g(i) be the third derivative of 0 + 0*i - 1/8*i**4 - 4*i**2 + 1/5*i**5 - 1/6*i**3. Calculate the lowest common multiple of 4 and g(-1).
28
Calculate the common denominator of (-1)/(-11) - (32