64)/80 - 1/4 and 103/5770.
5770
Let g be -3 + 4 - -2 - 2. Suppose -4*t + 4*h - 3*h - g = 0, -2*t = h - 7. Calculate the smallest common multiple of t and ((-1 - (4 + 11))/(-2))/2.
4
Let b = -24/17333 - -1236691/4367916. Calculate the common denominator of b and -71/252.
252
Let w(g) = 6*g**3 + 24*g**2 + 46*g + 7. What is the smallest common multiple of 1018 and w(7)?
7126
Let h(g) = -g**2 + 5*g + 14. Let l be h(6). Find the common denominator of -95/316 and 10 + -7 - ((-52)/l - 4).
316
Suppose 0 = 7*q - 2*q + 2*n + 62, 3*n - 9 = q. Calculate the least common multiple of 0*(-4)/q + 3 and -1 + ((-4)/(-10) - (-96)/10).
9
Suppose g + 161 = 7*c - 2*c, -120 = -4*c + 3*g. What is the lowest common multiple of (-1)/(-3)*9*c/9 and (-2 - 57/(-3))/1?
187
Suppose v + 202 = 22. Let l = v - -298. Calculate the least common multiple of l and 20.
1180
Let v be (-4)/(-6) + ((-56)/(-6) - 1). Find the common denominator of (-15)/2*(-2)/v and (13 + -27)*(-7)/22.
33
Let v = 0 - 45. Let b = -28 - v. Suppose -5*q - 2 = -b. What is the lowest common multiple of q and 18?
18
Let g(b) = -83*b - 1244. What is the lowest common multiple of 133 and g(-23)?
665
Let a = -85858 + 8242291/96. Calculate the common denominator of 75/172 and a.
4128
Suppose -3 = 3*r + 3*s, -8*r + 10*r = 3*s + 23. Suppose 3*j - 3 = -0. Calculate the lowest common multiple of j and r.
4
Let l = 1915963 - 42031789/22. Let y = l + -5431. What is the common denominator of y and 10/9?
198
Suppose -3*z + 242 = 3*t - 34, -368 = -4*t - 2*z. What is the common denominator of 103/14 and 130/(-552) - 23/t?
966
Let z = -11971/6888 + 39/328. Find the common denominator of z and -101/42.
42
Let z be (-1312)/(-144)*(-18)/(-4). Let l = z + -817/20. Calculate the common denominator of -71/36 and l.
180
Let d(g) = -6*g**2 + 3*g + 1. Let x be d(-5). Let s(o) = -11*o - 534. Let t be s(-42). Let r = t - x. What is the least common multiple of 18 and r?
828
Suppose 4*r - 630 = -5*r. Let d(t) = 10*t**2 + 17*t + 36. What is the smallest common multiple of r and d(-2)?
210
Let c = -142811/42 + 3400. What is the common denominator of c and 58/21?
42
Let l(y) = 3*y**3 - 4*y**2 + y - 6. Let h(k) = -k**3 - 17*k**2 - 42*k + 6. What is the smallest common multiple of l(2) and h(-14)?
12
Suppose 0 = 3*q - 2*l - 424, -3*q + 132 = 3*l - 282. Find the common denominator of 1/(-2) - 295/q and -5/68.
476
Let d = 17341/4 + -4357. Let k = -25941 + 104309/4. Let u = 138 - k. Find the common denominator of d and u.
4
What is the common denominator of 29/890 and (-2 - (-21)/8)*((14 - 5) + 1)?
1780
Let g = -168 - -176. Suppose 6*a = 80 - g. Calculate the smallest common multiple of 20 and a.
60
Let a = -184/59 + -3897/472. Find the common denominator of 111/920 and a.
920
Let g(z) = 6*z + 45. Let t = -68 + 61. Let k be g(t). Suppose -2*m + 45 = 3*b, 57 = k*m + 5*b - 8. Calculate the smallest common multiple of 33 and m.
330
Calculate the common denominator of 15/329 and (-14)/(504/459)*(-56)/36519.
12173
Suppose -60*q = 4207 - 607. What is the common denominator of 425/q + 5 - (-2)/9 and 107/120?
360
Suppose 0 = 6*h + 516 + 1872. Let j = h - -412. What is the lowest common multiple of 42 and j?
42
Let g be -1 + ((-438)/(-280) - (-2)/(-5)). Let q = -5503/1540 + g. Let k = -13951/20 + 2747/4. Calculate the common denominator of k and q.
110
Suppose 0 = 41*s - 33*s - 48. Suppose 4*d - 3*k + s*k = 35, d = -3*k + 20. Calculate the least common multiple of d and 4.
20
Suppose -v - 10 = s, 58 = 2*v - 59*s + 55*s. Calculate the least common multiple of v and ((-1)/(-2))/((-1)/(-60)).
30
Let y(f) = f**3 + 14*f**2 + 35*f + 27. Let p be y(-11). What is the common denominator of (p - 133/30)*75/(-6) and -29/96?
96
Suppose 0 = 3*k + 6, 13*k = -9*v + 17*k + 809. Suppose 51 = 4*x + 263. Let m = v + x. What is the smallest common multiple of 12 and m?
36
Suppose -3*r - 7067627760 = -6*r. Let j = r + -23266630370285/9876. Let y = j + -3/3292. Calculate the common denominator of y and 5/16.
48
Let g = 134903/24 - 5624. Calculate the common denominator of g and (14/(-112))/(4/(-202)).
48
Suppose 0 = 2*c - 5*c - 54. Let o = 6 + c. What is the common denominator of (o/10)/((-16)/(-85)) and 37/2?
8
Let x(z) = 3*z + 8. Let m be x(-2). Suppose -m*l + 5*d = 2*d - 18, -4*d = 4*l - 76. Calculate the lowest common multiple of 30 and l.
30
Calculate the common denominator of -71/1900 and 910/168 + 10/5*-3.
5700
Calculate the least common multiple of 2 and (12 + 31590/120)*1/(-3)*-16.
1468
Let r = 41178760/33 - 248280585489/198968. Let t = 10/969 - r. Find the common denominator of t and -65/56.
56
Let v = 12026 - 252614/21. Let j = 2400 + -4757/2. Find the common denominator of v and j.
42
Let s = 1089/376 - 237/94. Find the common denominator of -79/6292 and s.
12584
Suppose -19*s - 213 = 148. Suppose -2*r - 42 = -3*o + 5*o, -17 = o + 3*r. What is the smallest common multiple of (-16)/(-2) - (o - s) and 4?
12
Let b = 42035/6 + -7023. Let p be (3 - 0)/(1/(-7)). What is the common denominator of b and p/42 - (-246)/20?
30
Let v = -43 - -46. Suppose 4*a - v = 1. Find the common denominator of 11/2 and a/(-66)*155 + (-12)/(-66).
6
Let o be (-727)/70 + 6/3. Let y = -36/35 - o. What is the common denominator of 115/6 and y?
42
Find the common denominator of 13313/(-2250)*2/(-6) - 4/2 and 88/15.
6750
Let b = 157379 - 89705993/570. Find the common denominator of b and -46/15.
570
Let d(f) = -21*f + 13. Let m be d(3). Find the common denominator of 76/75 and 656/210 + (180/m - -4).
525
What is the smallest common multiple of 366 and (-692601)/(-1419) - (-2)/(-22)?
1464
Suppose -936 + 7386 = 10*j. Calculate the lowest common multiple of j and 5.
645
Find the common denominator of ((-52)/(-114))/((190/(-20))/(-19)) and -76/21.
399
Let j(a) = 2*a**2 + 4*a - 46. Let p be 8/14 + (-268)/28. What is the smallest common multiple of j(p) and 10?
80
Suppose -8*r + 260 = -21*r. Let b = 115772/21329 + 2/3047. Calculate the common denominator of (r/45)/((8/111)/(-4)) and b.
21
Let f = -4261/216 + 320/27. Calculate the common denominator of (-3 - 285/(-306)) + 14/21 and f.
408
Let m be 13*1/((-1)/17). Let s = m + 233. What is the least common multiple of s and (-1757)/(-42) - (-1)/6?
84
Suppose -881 = -5*f - 166. Suppose -f*w + 140*w = -264. Calculate the least common multiple of w and 16.
176
Let k(b) = 5*b**3 - 4*b**2 + 3*b + 2. Let g be 4 - 6/(-4)*4. Suppose h - g = -8. What is the least common multiple of 9 and k(h)?
288
What is the common denominator of (-147)/1120*1155/(-198) and 1/80?
320
Let i be (-9)/15*(12 - 2). Let r be i/206*5/10. Let l = r + -7154/309. What is the common denominator of l and -103/6?
6
Let u be (-4992)/143 + (-1)/11. Let i = u - -39. Calculate the smallest common multiple of 8 and i.
8
Let s be (0 - 115/1) + 3. What is the common denominator of ((-5)/s)/(-1 + (-132)/(-136)) and 87/32?
224
Let m(o) = -6*o + 81. Let s be m(13). Suppose 5*u = -4*i + 94, 1 = s*i - 2. What is the least common multiple of 76 and u?
684
Let i = 157 + -139. What is the common denominator of (13/390)/((-4)/i) and 89/132?
660
Let v = 18/224417 + 29782121/814633710. Calculate the common denominator of -41/154 and v.
25410
Let h(o) = -o**3 + 8*o**2 + 21*o - 1. Let x be h(10). Suppose -x*u + 12*u = 132. Calculate the smallest common multiple of u and 44.
44
What is the common denominator of ((-19)/2 + 5)/((-610)/(-25)) and -37/671?
2684
Let m(i) = 2*i**2 + 5*i + 8. Let d be m(-6). Suppose 0 = -46*q + d*q - 80. What is the least common multiple of ((-3)/4)/(2/(-128)) and q?
240
Suppose 42*g - 675 = 17*g. What is the least common multiple of 108 and g?
108
Let f(p) = -2*p + 48. Let h be f(20). Suppose 0 = 5*n - h*n + 18. What is the least common multiple of n and 75?
150
Suppose 223*p - 218*p - 3*c = 184, -5*p + 5*c + 170 = 0. What is the lowest common multiple of p and 123?
123
Suppose -f = 137*y - 132*y - 7751, 5*f = 4*y - 6224. What is the smallest common multiple of y and 1269?
13959
Let f(o) = -6*o**3 - o**2. Let v be f(1). Suppose 634*n + 10277 - 12302 = 14459. What is the least common multiple of -2*(v - (2 + -1)) and n?
208
Calculate the common denominator of 97/1494 and ((-72)/29880)/(3/(-6)).
7470
Let s = 22 + -16. Let u(b) = 3*b**3 - 13*b**2 + 6*b + 28. Let h be u(6). Suppose