nator of s and -43/11.
715
Let k(z) = 4*z + 4. Let s be (-1 - -1) + 14 - (6 - 3). Let r be k(s). Suppose 12*t + 0 = r. What is the smallest common multiple of 68 and t?
68
Suppose r + u = 421836, 4*r + 2*u - 2109171 = -r. Let o = -308781865/732 + r. Calculate the common denominator of -51/10 and o.
3660
Let c = -31732/11203 - 27/1318. Suppose 0 = -2*x + 2391*y - 2389*y - 100, 3*x = 5*y - 180. Calculate the common denominator of c and x.
34
Let a(u) = -25*u - 1. Let o = -9 - -122. Let c = o + -80. Calculate the lowest common multiple of a(-1) and c.
264
Let j(d) = 2*d + 3. Let o be j(-3). Let i be o*(-3)/(-18)*-2. What is the least common multiple of ((-384)/(-36))/(i - (-4)/(-6)) and 32?
32
Suppose 0 = r - 2*l - 92, -5*l = r - 2*l - 92. Let m = r + -90. Suppose m*z - 2*n + 6 = 3*z, -n + 6 = z. Calculate the smallest common multiple of 4 and z.
12
Let c = -639607/242 + 2643. Calculate the common denominator of 630/(-150) - 8 - 0 and c.
1210
Suppose 3*h + 2*c - 16 = 0, -2*c - 6 = -2*h - 2. Calculate the least common multiple of h + (-2)/1*-1 and 26.
78
Suppose -2*k = -0 - 2. Suppose -3*m + 1 + 3 = r, -4*m - r + 6 = 0. What is the smallest common multiple of (5 + k)/(10/5) and m?
6
Let z(v) = -193*v + 5951. Calculate the lowest common multiple of 945 and z(23).
7560
What is the common denominator of ((-4)/12)/(2/137) and -33 - (-2493)/(-492) - -38?
492
Let p be (16 + -7)/(-1 - (-12)/16). Let w = p - -313/6. Let f = 1283/46 - -37/23. Calculate the common denominator of f and w.
6
Let x(b) = -11*b + 2414. What is the lowest common multiple of x(48) and 207?
16974
Let w be (-450)/35976*((-21122)/(-2412))/1. Let u = 1/11992 + w. Calculate the common denominator of u and -58/15.
1005
Let q be 6 - (-5)/(20/296). Find the common denominator of -57/10 and (-3)/1 - -78*(-2)/q.
20
Let x be 1/(-7)*47281/(-234)*-21. Let y be (-47252)/78 + -3 + 2. Let u = y - x. Calculate the common denominator of -137/12 and u.
156
Calculate the common denominator of -7/10 and 1/(-332*16/2080).
830
Suppose -4*i = -14 + 6. Suppose 4*v - i*v + 20 = 0. Find the common denominator of -103/6 and v/(-35) - (-198)/(-140).
210
Suppose -37 + 7 = -6*f. Suppose f*z = 4*t - 49, 4*t - 4*z - 24 = 20. What is the least common multiple of 14 and t?
42
Suppose 4*z - 708 = z - 3*r, -233 = -z - 4*r. Suppose 2*u = -10, 2*u + 603 - z = i. Calculate the lowest common multiple of 1 and i.
356
Let f = -71/15 + 31/12. Let r = 3107/294 - 85/49. What is the common denominator of r and f?
60
Let y = 68 + -36. Suppose -35*u + 9 = -y*u. Suppose -u*b - 242 = -14*b. Calculate the smallest common multiple of 16 and b.
176
Let h = 175123/69405 - -2/3305. Calculate the common denominator of 22/9 and h.
63
Suppose -5*n = -1547*m + 1544*m + 11078, n = 2. Calculate the least common multiple of m and 40.
18480
Let l = 305 - 296. Suppose -5*h + 7 = 2*q - l, -3*q + 3 = -3*h. What is the smallest common multiple of 122 and q?
366
Suppose -2448 = 58*v - 66*v. What is the smallest common multiple of 1 + 45/(-36) - v/(-8) and 3?
114
Let b = -18039 + 19549. Calculate the lowest common multiple of 40 and b.
6040
Let x be 1/2 - 783/(-18). Suppose 3*b - b - x = 0. What is the smallest common multiple of 564/1316 - (-5)/14*38 and b?
154
Suppose -5*f - 15 = 0, 14*f - 13*f = 4*j - 147. Calculate the lowest common multiple of j and 126.
252
Let m = -20550 - -22575. What is the smallest common multiple of 405 and m?
2025
Let f = 5/509524 - -1453387/25985724. Calculate the common denominator of 77/510 and f.
8670
Let k be (0 - (-1 - -1)) + 135/45. Let y be 10/30 + 125/k. Let c = y - 38. Calculate the lowest common multiple of c and 20.
20
Let w(g) = -93*g**2 + 24*g + 151. Let r be w(-10). Let z = r + 169073/18. Calculate the common denominator of z and -101/112.
1008
Let x = -32/45 + 1087/495. Let w(f) = -f**2 - 4*f - 2. Let m be w(-4). What is the common denominator of m + 20*(-2)/(-132) and x?
33
Suppose -3*c + 4*w - 3 = 2*c, 2 = -2*c + 2*w. Calculate the common denominator of -68/57 and (-437)/513 - (1 - c).
513
Let f be 7/(-14) + 90266/20. Let z = -225763/50 + f. What is the common denominator of z and 22/45?
450
Suppose -2*u = 4*h - 82, 47*u + 67 = 50*u - 2*h. Suppose 0 = 5*r - 4*x - 386, 5*r = r - 4*x + 316. What is the smallest common multiple of r and u?
702
Suppose -3*t + 4*x + 88 = t, 0 = 2*t + x - 29. Suppose 7*s - t = 53. Suppose 0 = -f - 4, -12*f = c - s*f + 3. What is the lowest common multiple of 9 and c?
45
Let y = 16274 + -15698. What is the smallest common multiple of y and 672?
4032
Suppose 0 = -5*i + n + 25, 2*i + 4 = 3*n + 1. Calculate the common denominator of 63/80 and -5 + (i - (-376)/(-96)).
240
Let j(b) = -2*b**3 - 3*b**2 + 3*b. Let q be j(-5). Suppose c + 11*d = 16*d + q, 0 = 5*c + 4*d - 655. What is the smallest common multiple of 12 and c?
540
Let i be (0 - 0)/(5/(0 - -5)). Suppose -5*j = i, -5*g - 5*j + 0*j = -180. Calculate the least common multiple of (20/(-2))/((-5)/20) and g.
360
Let d be (5/156390)/((-8)/(-808572)). Let n = d + -1/1604. Let v = 981/26 - n. Calculate the common denominator of -39/100 and v.
100
Let t = -131 + 159. Suppose -34 + t = -6*w. Calculate the smallest common multiple of w and 9 + (-1 + 3)/(-1).
7
Let s = -3184 - -3190. Calculate the least common multiple of 776 and s.
2328
Let h(i) = -6*i - 53. Let j be (12/6 + 1)/((-3)/10). Let r be h(j). Suppose -s - q = q - 8, q = -2*s + r. Calculate the least common multiple of s and 6.
6
Let a(s) = s**3 + 5*s**2 - 6*s + 9. Let k be a(-6). Suppose -k - 9 = -6*l. Calculate the smallest common multiple of ((-4)/6*l)/(8/(-12)) and 12.
12
Let s be (12/(-36))/((-1)/15). Find the common denominator of (0 - -3)*(-66)/324 and (135/36)/(4/6) - s.
72
Let h(f) = -f**2 + 8*f + 10. Let c(b) = -221*b + 1185. Calculate the least common multiple of h(9) and c(5).
80
Let h be (-1 - -6 - 5) + (-9)/1. Let r(d) = -24*d - 21. Calculate the lowest common multiple of r(h) and 12.
780
Suppose 0 = -194*c - 191*c + 113*c + 771120. Calculate the least common multiple of 405 and c.
2835
What is the common denominator of 79/6 and 34488/(-76032) + 2*(-2)/22?
96
Let r be (2 - -2)*((-906)/(-8) + -2). Let u = -436 + r. Calculate the smallest common multiple of 9 and u.
9
Suppose -3*r + 3 = 3*b, -6*b + 2*b - 3*r = -1. Calculate the lowest common multiple of 30 and 0/9 - ((-4 - b) + -22).
120
Suppose 2*s + 24*m - 27*m = 9, 0 = -s + 3*m + 3. Suppose 2*b = b + 12. Calculate the least common multiple of s and b.
12
Let w(d) = d**2 - 103*d - 1554. Calculate the lowest common multiple of 72 and w(-15).
216
Let m = -36629/7812 - -483/124. Calculate the common denominator of -2 - (67/(-3) + -2) and m.
63
Let x(y) = -y**3 + 10*y**2 - 11*y + 20. Let f be x(9). Suppose q = f*u - 3*q - 48, u - 3 = -5*q. Calculate the least common multiple of 114 and u.
342
Suppose -4 = -5*v + 51. Suppose 3841*r = 3846*r - 5*z - 145, 5*r - z = 113. Calculate the smallest common multiple of r and v.
231
Let r = -77/3 - -106/3. Let m be 2*6/(-84) - (-163203)/84. Let n = -1928 + m. Calculate the common denominator of n and r.
12
Let z(y) = y**2 - 5*y + 7. Suppose 2*q - 113 = 2*v + 209, 4*q = 20. Let f be v/(-60) - 3/5. What is the smallest common multiple of 35 and z(f)?
35
Calculate the least common multiple of 1*(-1)/3*(50 - 56) and 526.
526
What is the common denominator of (-93577)/263670 - (-6)/20 and -53/129?
10965
Let j(y) = 31*y + 5. Let x(h) = 340*h + 55. Let q(k) = 65*j(k) - 6*x(k). Let b(o) = o**2 + 2*o - 1. Calculate the smallest common multiple of b(1) and q(-1).
20
Let q(j) = -j + 11. Let x(i) = 21 + 0*i - 6*i + 4*i. Let h(d) = -7*q(d) + 4*x(d). What is the smallest common multiple of h(0) and 11?
77
Suppose -14*z - 4*z = -8*z - 3760. Calculate the smallest common multiple of z and 80.
3760
Let r(f) = -238*f - 1014. Calculate the smallest common multiple of r(-9) and 2538.
10152
Suppose 0 = 4*k - 2*k - 36. Let z = k - 15. Suppose 869 = 54*n - 103. What is the lowest common multiple of n and z?
18
Calculate the smallest common multiple of -7 - 204/(-30) - 255/(-25) and 486.
2430
Let h = -7 + 22. Calculate the common denominator of (4/(-112))/((-6)/(-721)) and ((-18)/h - -1)*(-20)/144.
72
Let r = -7918 + 79279/10. Let w(i) = -i**2 + 15*i + 2. Let h be w(15). What is the common deno