.
1232
Let b be (72/(-234))/((-4)/26). Suppose 21 - 9 = 3*z - b*j, -2*z + 27 = 5*j. What is the smallest common multiple of z and 5?
30
Suppose 1326 = -91*d + 4056. What is the smallest common multiple of 2*(75/6)/1 and d?
150
Calculate the common denominator of 21*((-78)/(-42))/((-108)/42) and 3 - 0 - (-703)/(-250).
750
Suppose 86*n = 87*n + 1560. Calculate the common denominator of 6/(-15) + ((-29696)/n)/(-16) and 55/3.
39
Let k(v) = 31*v + 116. Let t be k(-4). Let z = 0 + -9. What is the common denominator of -101/8 and (156/t)/(z/4)?
24
Suppose 0 = -131*t - 60*t - 121*t + 508560. Calculate the lowest common multiple of 1 and t.
1630
Let g be 2*(-1)/(-4) + (-1428)/(-24). Suppose 0 = 4*v + 16, -n + 129 - 34 = 3*v. Let s = n - g. What is the common denominator of 31/2 and s?
2
Let p(m) = m**2 + 6*m + 1. Let g be p(-5). Let t be 0 + g + 4 + -11. Calculate the common denominator of ((-23518)/252)/t - (-9)/(-21) and -39/14.
126
Suppose -7965 + 132453 = -38*z. What is the least common multiple of 5/2*-1*z/90 and 104?
728
Let f = -33/790357 + -1181448679/3234140844. Let d = f + -9/44. Calculate the common denominator of d and -59/7.
651
Suppose 7 = y + 12. Calculate the common denominator of -25/18 and (y/15)/(16/114).
72
Calculate the common denominator of (-11 - (-1266)/114)*(-136)/12 and 119/132.
2508
Let y be 4/6 + 2850/45. Calculate the smallest common multiple of 154 and (((-231)/(-12))/11)/(2/y).
616
Let i(w) = 66*w - 16. Let j be i(10). Find the common denominator of (4/10)/(j/3710) and -24/11.
253
Let g = -6667352/1509 - -13255/3. Let z = -36641/16096 - g. Let o = 2411/140 + -123/7. What is the common denominator of z and o?
160
What is the smallest common multiple of 1015 and ((-60)/11)/((-406)/15631)?
6090
Let q be (6/(-18))/(1/(-9)). Let b(i) = 2*i**3 - 8 + 3*i**2 + 459*i - i**q - 463*i. Calculate the smallest common multiple of 11 and b(-3).
44
Let s = -34515/1484 + 3/371. Let x = -570585 - -39371168/69. Let w = -2/69 - x. Calculate the common denominator of s and w.
12
Let a(c) = -c**2 + 310. Let s = -4 + 5. Calculate the least common multiple of (7 - s)*(-3)/(-2) and a(-17).
63
Suppose -8 = 2*f, -2*j + 9*f - 4*f = -24. Calculate the smallest common multiple of 42 and 0 + j + (-7)/((-14)/4).
84
Let r = -961102 - -1533918871/1596. Calculate the common denominator of r and -53/18.
4788
Calculate the smallest common multiple of 18 and 5543/69 - (-8)/24*2.
162
Let b = -1 - -4. Let n be (3/2)/(b/54). Let c = 33 - n. What is the lowest common multiple of c and 40?
120
Calculate the common denominator of 67/48 and (1 + (-2598)/1992)*(5/15 + 0).
3984
Let w(g) = g**3 + 10*g**2 - 17*g - 3. Let m be w(-9). Suppose -245 = -7*p - m. Calculate the least common multiple of p and 2.
2
Suppose 2*f + f - 4284 = -5*z, 2*z + 16*f = 1684. What is the least common multiple of 156 and z?
1716
Let p = -23949 + 12608. Let v = p - -204049/18. Let q = -2225/6 + 373. What is the common denominator of v and q?
18
Let p(t) = -5*t**2 + 12*t + 17. Let w be p(7). Let d = -76 - w. What is the least common multiple of (0 + -3)*d/(-12) and 8?
136
What is the common denominator of 131/144 and ((-17)/408)/(7/(-3318)*-141)?
6768
Let y = 54568313/612 + -89164. Calculate the common denominator of -73/24 and y.
1224
Let d = 41290 + -41205. Let l(a) = -a**3 + 13*a**2 + 14*a + 17. What is the least common multiple of d and l(14)?
85
Let t = -94203 - -468028/5. Let z = 593 + t. Calculate the common denominator of z and 16/(-30)*54/4.
5
Suppose -5*t = -2*i - 46, 4*t - 4*i + 0*i = 44. Let v = 40 + -60. Let a = v - -25. Calculate the lowest common multiple of a and t.
40
Let t = -68 + 310. What is the lowest common multiple of 638 and t?
7018
Let y(l) = 2*l + 1. Let g(o) = 501*o + 127. Let q(w) = g(w) - y(w). Calculate the smallest common multiple of q(2) and 22.
12364
Suppose -3*d = -2*d - 2*c + 1, 3*d = 4*c + 1. Let b(z) = -z**3 + 5*z**2 - 3*z - 1. What is the lowest common multiple of 2 and b(d)?
8
Let g = -425 + 759. Suppose -g*w + 331*w = -66. Calculate the least common multiple of 70 - (2 - (-2)/(-1)) and w.
770
Let f = 3317/738 + 2/369. Find the common denominator of (9/(-12))/((-18)/69) and f.
8
What is the common denominator of 43/6679 and ((2 + 490/90)/1)/(1/(-3))?
20037
Let d = 87 + -37. Suppose -8*q - 2*q + d = 0. Calculate the least common multiple of 10 and q.
10
Suppose 0 = -5*o + 16 + 4. Let m be o - (58176/3644)/4. Let k = m - -106475/12754. What is the common denominator of k and -157/66?
462
Let z(i) = -i**3 - i + 4. Let x be z(3). Suppose -428 = -26*p + 2562. Calculate the common denominator of 29/22 and (-46)/p + x/680*3.
748
Let r(v) = -15*v - 279. Let w be r(-36). Let h = -237 + w. Calculate the smallest common multiple of h and 80.
240
Let z(f) = -f**3 + 15*f**2 - 14. Let j be -9*((-1)/3)/((-8)/(-16)). Let i be z(j). Find the common denominator of ((-2)/(-5))/((-8)/i) and -28/11.
22
Let d = 35611563/20 - 1781224. Let a = -645 - d. Find the common denominator of a and -48/145.
580
Let a = 33 - 20. Suppose -18*y + a*y = -30. Calculate the least common multiple of y and 192/(-60)*(-10)/4.
24
Let f = -133 + 70. Let j = f + 67. What is the common denominator of j/10 + (-302)/(-120) + -1 and -29/33?
132
Suppose -3*d = -5*f - 44, 4*d - 48 = -16*f + 12*f. Find the common denominator of ((-116)/(-168))/1 + 26/d and 37/126.
126
Let a = -2403235/164 + 14654. Let s = -32602 - -521617/16. Calculate the common denominator of s and a.
656
Calculate the common denominator of 65/3 and (-1148)/154 - -8 - 668/55.
15
Let u(v) = -2*v + 3*v + 0*v + 0*v. Suppose 0 = -3*w + 4*s + 2, 13*s - 17*s = -4. What is the lowest common multiple of u(w) and 8?
8
Suppose 0 = 23*g - 3088 - 2731. Let h = g - 183. What is the smallest common multiple of 40 and h?
280
Suppose -f + 6*f - 4*g - 18 = 0, 3*f - 4*g - 14 = 0. Suppose 4*s + 40 = f*s. Let i = s - -32. What is the smallest common multiple of i and 18?
36
Suppose -g + 4 - 1 = 2*o, -o + 2 = g. Find the common denominator of -31/36 and (5 - (o - -1))*(-143)/36.
36
Let z = 432299/22 - 19654. Let x = -6355 + 44413/7. Let n = x - -1207/84. Calculate the common denominator of z and n.
132
Suppose -z = 2*i - 67 - 92, -4*i = 5*z - 333. Let j = -2/31105 + -2768341/62210. Calculate the common denominator of j and 54/2*i/168.
8
Let v be 126/27*(-2 - (-244)/14). Let s = -70 + v. Suppose 5*d = s*j + 24, 0 = 9*j - 4*j + 5*d + 25. Calculate the common denominator of -57/2 and j.
2
Suppose 5*w - 85 - 35 = 0. What is the least common multiple of w and (48 + (-31 - 10))*(-36)/(-21)?
24
Let o = 84550571/432 + -195719. Calculate the common denominator of o and -13/306.
7344
Let a = -7065743 - -81771843659/11573. Let u = -41174788/3066845 - a. Let i = -67/5 - u. Find the common denominator of i and 29/4.
212
Let s be (-42)/(-3) - (5 + -2). Let l = 40 + -8. Let n = l - s. What is the lowest common multiple of n and 30?
210
Let d = 2/226857 - 2873648/14291991. Find the common denominator of -62/297 and d.
2079
Suppose 24*c = 27*c - 15. Suppose 16*y - 58 = 14*y. What is the least common multiple of c and y?
145
What is the common denominator of 4/17*225/(-2340) and -37/1768?
1768
Suppose -5*j = -3*q - 40936, 5*q + 24558 = 3*j + 2*q. Suppose 30 = 3*w + 2*w. What is the lowest common multiple of j/247 - 2/13 and w?
66
Let n be (-10)/(-40) - (1 + (-5)/(-4)). Find the common denominator of (-11242)/2992 + n/17 and -36/49.
392
What is the common denominator of ((-54)/4 + 10)/(165/36) and 123/4360?
47960
Let q = 19 + 0. Suppose -16 - q = -5*l. Suppose n + 0*n + 3*i = l, -5*n - 7 = i. Calculate the common denominator of 91/6 and n.
6
Suppose -11*y + 10*y = 0. Let f(u) = -2*u - 53. Let k be f(y). Let i = k + 59. What is the least common multiple of 20 and i?
60
Let c = -4 + -6. Calculate the common denominator of (26/c)/(-3 - -7) and (-222)/(-28) - (0 - -5).
140
Suppose -79*u - 39*u = -70*u - 25488. What is the lowest common multiple of 9 and u?
531
Let i = 4657153/2919462 + 2/69511. What is the common denominator of i and -31/148?
3108
Let w(i) = -4593*i - 30. Let j be w(-8). Let n = j - 51656. Let c = 209071/14 + n. Find the common denominator of 55/54 and c.
378
Let x = 263437/3183530 - -6/6497. Find the common denominator of x and -79/686.
3430
Let k = -256326/4