. What is the least common multiple of 9 and 7*(3 + (-1 - (-4 - x)))?
63
Let d = -211007/816 + 4436/17. Find the common denominator of d and -11/288.
288
Let d = 597 - 587. Calculate the lowest common multiple of 15 and -5 - (5 - d) - (-15)/5.
15
Suppose -2*b + 230 = 2*k, -4*k + 430 = 34*b - 36*b. Calculate the smallest common multiple of k and 49.
5390
Suppose 6*l - 148 + 598 = 0. Calculate the common denominator of 89/1204 and (-1090)/(-8)*(-10)/l.
3612
Let b be 38 - 35 - (4 + 0). What is the common denominator of 44/81 and b + 15/(-12)*380/(-2250)?
810
Calculate the common denominator of 67/720 and (-852)/160*-10*(-22)/10395.
5040
What is the lowest common multiple of 129 and -7 + (-258)/(-36) - (-6461)/6?
46311
Suppose 144 = 4*i - 4*p, -i + 4*p - 2 = -50. Calculate the common denominator of -73/9 and (i/(-10))/(56/(-36)).
315
What is the common denominator of (0 - (-88)/(-363))*1/(-3) and -41/6?
198
Suppose 0 = -280*p + 266*p + 108489 + 6423. Calculate the smallest common multiple of 3344 and p.
90288
Suppose -3*u - 13*i + 15316 = 0, -50*u + 5*i = -47*u - 15190. What is the smallest common multiple of 77 and u?
55825
Let j be (4/6)/(260/(-66) - -4). Calculate the common denominator of 71/6 and -1 - -1 - j/10.
30
Let y(g) = g**3 + 6*g**2 + 4*g + 5. Let n be y(-5). What is the smallest common multiple of 6*-12*2*n/(-20) and 36?
72
Calculate the least common multiple of 2735 - 74 - ((-9)/3 + 3)/1 and 18.
15966
Suppose 0 = -4*b - b. Suppose b = 2*r - 2. Calculate the common denominator of -1 + (295/(-50))/r and -87/2.
10
Let k be (-4 - 1) + 11 + -1 + 0. Let d(w) = 3*w**2 + 5*w - 24. Let f be d(k). Let g = -30 + f. What is the common denominator of g and 12/5?
5
Calculate the lowest common multiple of (-466 + (-276)/23)*-4 and 2390.
9560
What is the least common multiple of 3 + 30 - (221/13 - 5) and 590?
12390
What is the common denominator of 101/256 and ((-6)/928*-1)/(((-228)/1349)/(-4))?
7424
What is the common denominator of (-4)/(24192/(-5782)) + 2*(-3)/6 and -107/96?
864
Let q be (32 - 27)*(-2 + 1). Calculate the lowest common multiple of (q/4)/((-50)/1000) and 35.
175
Let z = 156 + -135. Suppose 7 + 25 = 8*l. Suppose -l*n = 2*p - 10, 0 = 3*p - n - 0*n - 22. Calculate the lowest common multiple of p and z.
21
Find the common denominator of (-530)/(-1400)*-13 + 4 + 1 and -15/22.
1540
Let i = 6 - -21. Calculate the smallest common multiple of 9/(57/836*4) and i.
297
Let x be (-14 - -12)*1/5615. Let b = x - -286541/494120. Calculate the common denominator of 109/48 and b.
528
Find the common denominator of (-3)/(6/8) + 1602/4860*14 and -5/6.
270
Suppose -s + 21 - 520 = -2*g, -5*g + 1247 = -3*s. Calculate the common denominator of 19/45 and 1775/g - 1*4.
90
What is the common denominator of 11/245 and (-8)/(-1) - 1630*(-102)/(-20825)?
245
Let v = -16759 + 134135/8. Calculate the common denominator of 111/100 and v.
200
Let k = -6230 + 6284. Calculate the lowest common multiple of k and 1281.
23058
Let n = -10 + 14. Let a be ((-333)/(-148))/(2/8). Suppose 0 = a*d - 2727 + 2655. Calculate the lowest common multiple of n and d.
8
Calculate the smallest common multiple of -2 + 70 + -1 + (25 - 20) and 216.
216
Let j = 101 + -113. Find the common denominator of -67/42 and 1443/840 + j/32.
210
Suppose 14 = -5*l - w, -5*l + 4*w + 7 = -24. Find the common denominator of l and -57/436.
436
What is the least common multiple of (6/4)/(9/1716) and -4*21/756 + (-163)/(-9)?
2574
Let t(i) = -2*i - 8. Let o be t(-6). Suppose -o*p + 44 = -0*b + b, -3*p = 4*b - 20. What is the least common multiple of p and (-898)/(-30) + 10/150?
60
Calculate the smallest common multiple of (21 - (-737 - -18))*4 and 60.
8880
Let q = -3685 + 128984/35. Calculate the common denominator of q and 14/365.
2555
Let l(r) = 4*r**2 + 40*r - 2. Let z be l(-10). Calculate the lowest common multiple of 56*(-4)/(-8) + (-6 - z) and 12.
24
Let a(p) = -p + 1. Let n be a(-5). Calculate the common denominator of -95/6 and n/14 + (-18017)/(-16254).
54
Let i(k) = -k**2 - 5*k + 36. What is the lowest common multiple of i(3) and 2694?
5388
Suppose 0 = -4*t - 3*k - 457, t + 0*k + 119 = 4*k. Let y = -88 - t. What is the least common multiple of y and 108?
108
Let s be (2 - 4)/((-3)/(-6)). What is the smallest common multiple of 18/s*(-1 - 1) and 2*((-1)/8 + (-493)/(-136))?
63
Let n be (-7 - -11)/(2/1). Suppose 3*x + 20 = -n*x, -c + 27 = -4*x. Suppose -2*j - 7 = 3*k, 10 = -j - 2*k + 4. What is the smallest common multiple of j and c?
44
Suppose -4*j = -29*q + 34*q - 1620, -4*j + 1612 = 3*q. What is the least common multiple of 6 and j?
1200
Suppose -7*n - 5756 + 611 = 0. Let g(u) = -53*u + 140. Let k be g(4). Calculate the common denominator of 109/20 and -4 + n/k + 0.
120
Suppose 13*s + 293 = 2*s + 359. Suppose -2*a + 10 = 5*v, -10 = -a - v - 4*v. Suppose -s*t + 72 = -a*t. What is the least common multiple of 98 and t?
588
What is the common denominator of 179/390 and (44/(-78)*-21)/(119 - 395)?
8970
Let m = 34425 + -2272115/66. Find the common denominator of 139/1170 and m.
12870
Suppose 0 = 5*n + 2*q - 2135, 18*n - 1751 = 14*n + 7*q. Calculate the smallest common multiple of n and 312.
3432
Let m = 55 + -51. Let f(r) be the second derivative of -r**4/12 - 17*r**3/6 - 13*r. What is the lowest common multiple of f(-16) and m?
16
Suppose 8*h + 1 = 17. Suppose -59 = -h*v - 7. Calculate the least common multiple of (6 + (-2 - 2))/((-2)/(-12)) and v.
156
Let x = 1262/11 + -42149/374. Let v be -6 - (-4)/8*-997. Let p = v + 2517/5. Find the common denominator of x and p.
170
Suppose 0 = -3*x - 17*x - 500. Suppose -a = 4*a - 30. What is the smallest common multiple of -4 - 5/(x/5)*19 and a?
30
Let y = 207 - 210. What is the common denominator of 55/y + (-27)/(-9) and 37/15?
15
Calculate the least common multiple of (-7 + -3 + 6)/(-9 - 36644/(-4072)) and 8.
4072
Let k(t) = -1077*t**2 + 4*t - 1. Let o be k(2). Let m be o/165 - (1 + 3). Let l = -1013/30 - m. Calculate the common denominator of l and -97/22.
110
Let b(c) = 160*c - 474. Calculate the smallest common multiple of b(3) and 506.
1518
Suppose -7*y + 981 = 1401. Find the common denominator of 0 + (154/24 - -1) and (-30)/12*16/y.
12
Suppose 0 = 5*m + 3*g + 425, 7*g = -4*m + 9*g - 362. Find the common denominator of 81/16 and (-33)/(-88) - 105/m.
176
Let r = -6792/5 - -1381. Let w = 149113/25270 - 2/2527. Let q = r + w. What is the common denominator of q and -37/24?
24
Let z = -34 - -66. Let c(y) = y**3 - 2*y**2 - 7*y. Let v be c(-3). Find the common denominator of 65/2 and (292/z)/((-6)/v).
2
Let k = 504673/14 - 36082. Let l = k - -143/7. Calculate the common denominator of (30/(-2))/(40/15) and l.
8
Let o = 145 + -139. What is the common denominator of (o/(-4))/((-30)/430) and 31?
2
Let j = -387981 - -388005. Let z(b) = -b**3 - b - 5. Calculate the lowest common multiple of j and z(-4).
504
Let l = 146353/2898 - 2/1449. Let n = -11649217/84146244 + 1/274092. Calculate the common denominator of l and n.
614
Find the common denominator of 110/35*91/(-325) and -43/45.
225
Let i(v) = -41*v - 1. Let n = 127 - 128. What is the smallest common multiple of 15 and i(n)?
120
What is the lowest common multiple of (-4)/9 + -29*(-64)/288 and 795?
1590
Let j = 2937 - 2910. Let b(h) = -h**3 + 8*h**2 - h + 10. Let p be b(8). Suppose p*u = -3*u + 120. Calculate the lowest common multiple of u and j.
216
Suppose 2*i - 3*i + 63 = -2*m, -m - 49 = -4*i. Let u = m + 27. What is the common denominator of 67/32 and u/(-8) - (-819)/(-104)?
32
Let q = 1177 + -1166. What is the smallest common multiple of 596 and q?
6556
Let z = 1293 + -46535/36. Calculate the common denominator of ((-906)/(-90))/(12/(-10)) and z.
36
Let w = -39/14 - -403/210. Let o(t) = 2*t**3 + 35*t**2 - 41*t - 411. What is the common denominator of o(-18) and w?
15
Let t be 21/(23 + 1447)*(-2038)/3. Let j be -1 - (0 + (-130)/42). Let d = j - t. Calculate the common denominator of -25/9 and d.
45
Let a(o) = o**3 + 9*o**2 + 3*o - 12. Let p(f) = f**2 - 4*f - 9. Calculate the smallest common multiple of a(-3) and p(7).
132
Let k(i) = -2*i**2 + 34*i - 4. Let f be k(17). Find the common denominator of -101/344 and (176/f + 1)/(-3).
1032
Suppose -5*z - 78 = -6*c + 3*c, -4*z - 50 = -2*c. Suppose -32*v + c*v = -