f -35/638 and j.
4466
Let p = -3612905 - -3576776381/990. Let a = p + 29/90. What is the common denominator of a and 67/36?
396
Suppose -2*f - z + 5 = 0, -3*z + 2 = 3*f - 13. Let n be f*(-1)/2 - (-4)/(-4). Calculate the least common multiple of 16 and (3 + n)*(-6)/(-12).
16
Let s = -238/10645 + 1097001/18117790. Find the common denominator of s and -87/4.
3404
Suppose 870 + 266 = -4*f. Calculate the common denominator of (f/(-66))/((-4)/(-3)) and -41*(2/40 - 0).
220
Suppose 939 = -22*o + 279. Let v(i) = -4*i - 99. What is the common denominator of v(o) and -83/2?
2
Let n(y) = 114*y + 1261. Let g = -149 + 209. Suppose 3*r = -4*o + g, -77 = -3*o - r - 27. What is the smallest common multiple of n(-11) and o?
126
Let j(d) = 11*d**2 + 5*d - 4. Suppose -479*u + 59931 - 12031 = 0. Calculate the lowest common multiple of u and j(3).
1100
Let v = 74282/15 + -4950. Calculate the common denominator of v and 29/149.
2235
Let i be (96/(-20))/(39/(-2860)). Let s = i + -332. Calculate the smallest common multiple of 190 and s.
380
Let f = 96 - 98. Let o be (-2)/4*f + -274 + 3. Calculate the common denominator of (1452/o)/(8/10) and -53/2.
18
Let z(p) = 211*p - 1496. Calculate the lowest common multiple of 48 and z(8).
192
Let p = 77 - 48. Calculate the least common multiple of 44 and (-6)/(-33) - 6/(-11)*p.
176
Let m(k) = 11*k**2. Suppose -16 = -26*s + 27*s. Let r(g) = -11*g - 143. What is the least common multiple of m(1) and r(s)?
33
Let x be 60/8 + 25/(-10). Suppose x*a + 57 = -13. Calculate the least common multiple of 5 and (91/a)/(1/(-4)).
130
Let a be -208 + (4/10)/(4/(-20)). Find the common denominator of -115/12 and ((-2)/7)/1 - (-760)/a.
84
Suppose 4*x - 105 = 243. Suppose 3*j - x = 5*g, -4*j + j = 4*g - 60. Suppose 3*m + 7 + 37 = 5*m. Calculate the lowest common multiple of j and m.
264
What is the common denominator of (-6)/(-21)*151956/(-702432) and -9/416?
112736
Suppose 2820 = 25*j - 1730. Suppose 5*t + 82 = j. Calculate the least common multiple of 140 and t.
140
Suppose -28*l = -25*l - 9. Suppose 0 = 5*d - l*p - 501, -8*p + 5*p - 303 = -3*d. Calculate the least common multiple of 22 and d.
198
Let x = -302 + 309. What is the smallest common multiple of 53 - (-8 + 4) - x and 110?
550
Suppose -2*l + 26 = x, -l - x = 3*x - 6. Let t be (-1038)/521 + l/21*3. Let u = -5342/17193 + t. What is the common denominator of 127/6 and u?
66
Suppose 2*v = 3*u + 1711, 6*u + 2*v = 2*u - 2300. Let q = -295 - u. Calculate the lowest common multiple of q and 10.
1390
Let s = -522 - -3083/6. Suppose 92*t = 97*t + 45. What is the common denominator of (-39)/t - ((-3)/9 - -1) and s?
6
Let z(b) = -b**3 - 8*b**2 - 5*b - 6. Let q be z(-7). Let n(f) = 15*f - 223. Let l be n(8). Find the common denominator of (-21 - q) + l/(-4) and 95/4.
4
Let h(k) = 1002*k - 36. Let t be h(14). Let s = t - 4813253/344. What is the common denominator of s and -125/18?
3096
Let s = -92941/20 + 4646. Let q = -11708 - -234067/20. What is the common denominator of s and q?
20
Calculate the common denominator of -79/3441 and 6055/1384 + (-2)/(-12).
27528
Let r = 3 + -8. Let u(t) = -11 + 2 + 27*t - 29*t - 5 + 16. What is the smallest common multiple of 4 and u(r)?
12
Suppose 38 = -z - 2*z - 5*u, 3*z - 4*u = -2. What is the common denominator of (-2)/((-256)/z)*988/(-78) and 67/4?
32
Let m = 6/103 - -1091/721. Let b = 83469/20 - 4173. What is the common denominator of b and m?
140
Let u(p) = -p**3 - 7*p**2 + 31*p + 12. Let r be u(-10). Suppose -5*b = -r*a + 32 + 98, 0 = -a - b + 58. What is the smallest common multiple of 18 and a?
180
Let g = 801 + 1409. Let p be 85501/g + (-1 - -2 - 1). Let m = 792/17 - p. What is the common denominator of m and 28/9?
90
Let k be (-2)/((-48)/2134)*(-1485)/(-44). Let j = k - 2999. What is the common denominator of j and -97/4?
16
Let y = 58/99 - -62/11. Let u = 1928 + -1108. What is the common denominator of y and u/224 - -2*3/(-21)?
72
Let d = 10449780160/1221 + -8558379. Let t = -4/111 - d. Find the common denominator of (1615/(-1938))/(10/(-66)) and t.
22
Find the common denominator of -31/632 and (6/64)/((-19)/((-11210)/(-15))).
1264
Suppose h + 2 = 3*q, 2*q - 10 = 2*h - q. Calculate the smallest common multiple of 9 and (51/34)/((-3)/h).
36
Let b(z) = 2*z**2 - 83*z - 27. Let n be b(37). Let q = 598 + -7205/12. Calculate the common denominator of q and 682/n + (-52)/390.
36
Calculate the common denominator of -69/107632 and ((-5423)/34)/(-29) - 28/(-35).
538160
Let u = 293711/1290 + -683/3. Find the common denominator of 5/258 and u.
1290
Let j(o) = o**2 + o - 13. Let p be j(-5). Suppose -5*t + 4*n = -371, 153 = -p*t + 9*t + 3*n. What is the least common multiple of 18 and t?
450
Suppose -1285*g + 1261*g = -216. Calculate the least common multiple of 2934 and g.
2934
Suppose -j = 4*q + j - 16, q = 5*j + 4. What is the common denominator of (63/540)/(q/(-170)) and 5/4?
24
What is the common denominator of 97/1064 and (-6)/2 - ((-1059)/665 - (-345)/(-230))?
5320
Let t = -18351/20 - -3797107/4140. What is the common denominator of t and 97/552?
1656
Suppose 18*z + 5688 = 30*z. Suppose -38*q + z = -32*q. Let u = 81 - q. What is the least common multiple of u and 18?
18
Let v(o) = -216*o**2 + 1. Let m be v(-1). What is the common denominator of ((-3)/(-6))/(1/(-4)) + 446/72 and (m/(-40))/((-3)/2)?
36
Let s(w) = 2 - 40*w**3 - 63*w + 32*w + 33*w. What is the lowest common multiple of s(-1) and 4?
40
Suppose 569*s = 574*s - 14580. What is the smallest common multiple of 4 and s?
2916
Let m(q) = -q**2 + 21*q - 29. Let n be m(14). Let z = -115 + n. Let w = 48 + z. Calculate the smallest common multiple of w and 4.
4
Suppose 5*s + 1 - 21 = 2*w, 2*s = w + 9. Suppose -a - 5 = -s*a. Suppose -29 + 157 = a*u - y, -5*u + 120 = -5*y. Calculate the lowest common multiple of u and 2.
26
Let k = 11388371/784 + -14526. What is the common denominator of k and (-77)/(-18) + -3*1?
7056
Suppose 4*f - 4231 = -1167. Let k = f - 3091/4. What is the common denominator of 13/45 and k?
180
Suppose 704*d = 566*d + 41538. Suppose -2*g = -5 + 17. What is the common denominator of (63/d)/((-2)/g) and 24/5?
215
Let z = -60857/30 + 10202/5. What is the common denominator of 56/1251 and z?
2502
Let k be (-24)/10 - 18/30. Let l(u) = 3*u**2 - 2*u + 6. Let z be l(3). Let c = z + k. What is the least common multiple of c and 2?
24
Let t = 115 - 112. Let g = -11 - -35. Let l = -14 + g. What is the least common multiple of l and t?
30
Let v be 3*(-6)/9 - (-5006)/16. Let h = 226693/728 - v. Find the common denominator of -25/63 and h.
819
Let t = -88 + 80. Calculate the common denominator of -29/30 and 65/(-72) - ((-30)/t + -4).
360
Let b = -4892/209 + 119547/418. Let r = b - 267. Calculate the common denominator of r and (-118)/(-8) - (-3 + 1).
44
Let n(h) = -2*h + 2. What is the lowest common multiple of ((-8)/(-14))/((-7)/(-49)) and n(-1)?
4
Calculate the common denominator of (58 - 6125/70)*((-1)/(-182) + 0) and 107/1365.
5460
Let k = 270913/18 + -15057. Let v = 2/359 - 23351/2872. What is the common denominator of v and k?
72
Let a be (-1)/((-4)/2)*36. Let f be ((51/(-5))/17)/(1/20). What is the lowest common multiple of (a/4)/((-9)/f) and 21?
42
Calculate the common denominator of 21/(-108)*(-9 + 293)/((-126)/9) and 31/7854.
23562
Suppose 3*g - 33 - 72 = 0. Suppose -2*o - g = -11. Calculate the common denominator of 13/5 and 46*9/o - -2.
10
Suppose 0 = 4*s + 4, -3 = -2*w - 8*s + 7*s. Suppose a = 4*t - 269, w*t - 110 = 5*a + 47. What is the lowest common multiple of 16 and t?
528
Let c = -41 - -54. Suppose -2*z + c + 9 = 0. Calculate the common denominator of 3/5 and (-2496)/297 + (-2)/z*-1.
45
What is the common denominator of (-3864)/180*((-97)/32 + (-3)/(-1)) and -155/114?
4560
Calculate the common denominator of 89/92 and 1/(-28)*-2 - (-1500)/(-565110)*12.
3588
Suppose 5*s - 14*t - 104 = -13*t, 0 = 5*s - 5*t - 80. What is the smallest common multiple of 1072 and s?
11792
Let j = -35270/9857 - -254429827/58018302. Let y = 5/654 + j. Find the common denominator of y and (-2)/66*(-6 - -5).
297
Let g be (-40)/(-15)*3/(-2). What is the least common multiple of (31 + 2)/((-21)/(-14)) and 19 + (4/g - (0 - -2))?
176
Calculate the common denominator of -41/9 and (((-3976)/(-91))/8)/(-3 + (0 - 