 n(l) = -7*l + 54. Let q be n(21). Let r = q - -165. Calculate the lowest common multiple of 18 and r.
72
Find the common denominator of -6/473 and 4/22 + (-128)/(-22) + 6828/(-1161).
4257
Suppose -9*w + 2 = -11*w. What is the common denominator of (-1098)/56 + 3/(-21) and ((-178)/12 - w)/(-1)?
12
Suppose -8*y - 303 = -1111. Let f = y - 91. Let r(p) = p**2 - 7*p + 4. What is the smallest common multiple of r(7) and f?
20
Suppose 3354 = 14*z - 930. Suppose -5*g + 3*s + 100 = -s, 2*s + 74 = 4*g. Calculate the least common multiple of z and g.
2448
Let j(i) = -i**2 - 89*i + 609. What is the lowest common multiple of 292 and j(-85)?
3796
Let q(v) = -11*v**2 - v. Let d be q(-1). Suppose -165*c - 41269 - 34466 = 0. Find the common denominator of -59/33 and (c/30 + 5)*d/(-24).
264
Let c(z) = -z**2 - 10*z - 2. Let j = -3 + -7. Let r be c(j). Calculate the common denominator of ((-2925)/10)/(-9) + r and -81/10.
10
Suppose 14*k + 300 = 2*k. Let a = -6 - -24. Calculate the least common multiple of a and (-31 - k)*(-1 + 7)/(-2).
18
Suppose k - 5*f = 203, -15*k + 206 = -14*k - 2*f. Calculate the smallest common multiple of 1312 and k.
17056
Suppose 0 = 160*y - 11122 - 12078. Suppose -f - 4*n + 15 = -2*n, 15 = 4*f - n. Calculate the smallest common multiple of y and f.
145
Suppose -c + 0 + 6 = 0. Calculate the lowest common multiple of c and 162/(-1377) - 3576/(-51).
210
Suppose -3986*i + 14298 = -1603*i. Suppose 0 = 3*b - 2*m - 974, 348 = b + 2*m + 2*m. What is the smallest common multiple of i and b?
984
Let s = 41 - 1. Suppose 4 = -81*b + 83*b - 4*c, -b - 4*c = -8. Calculate the lowest common multiple of b and s.
40
Let f be (20 - 70)*(9/2)/(-3). Suppose 4*t = -t - f. Calculate the least common multiple of (12/15)/((-1)/t) and 21.
84
What is the smallest common multiple of ((-1106)/(-474))/(2/96*2) and 184?
1288
Let q = 892363309/2285 + -390531. Find the common denominator of -143/30 and q.
13710
Let v be 296/(-3) - 18/(-27). Calculate the smallest common multiple of 8 - 84/v*(-21)/6 and 9.
45
Let z = 208785/191794 - 2/5641. What is the common denominator of z and 115/18?
306
Let q be 2442/16 - 33*(-11)/(-121). Let x be (58/(-4))/(2/(-19)). Let l = x - q. What is the common denominator of l and -57/14?
56
Suppose 40*v - 14868 = -18*v + 73872. What is the smallest common multiple of v and 51?
1530
Calculate the common denominator of 111/20 and ((-54)/270)/(244/830).
1220
Let t(x) = 9*x**2 - 9*x - 50. Let w(q) = q**3 + 5*q**2 + 2. What is the least common multiple of w(-4) and t(-6)?
2952
Suppose -118 = -9*z - 1432. Find the common denominator of -3/10 and (z/40)/(36/45).
80
Calculate the least common multiple of -5 + ((-195)/13 - -62) and 327.
4578
Suppose -3*d + 5*a = -55 - 70, d - 47 = -a. Calculate the smallest common multiple of 198 and d.
990
Let l be 2/5*(-294 - 11). Let j = -71 - l. What is the smallest common multiple of j and 11?
561
Find the common denominator of 29/611 and 16/(-376) + (352044/16497)/11.
1833
Let m be (-638)/(-66) + -1 + (-8)/(-6). Suppose m*t - 1233 = -213. What is the smallest common multiple of t and 6?
102
Let s = 862278 + -2555791933/2964. Find the common denominator of s and -103/36.
8892
Suppose -3*n = 3*u - 1782, -1133*u - 2368 = -4*n - 1135*u. Calculate the lowest common multiple of 1652 and n.
8260
Let f = 14156428768015/1872623 + -7559679. Let w = f - -3301434621/254676728. Let g = w + -105/34. Calculate the common denominator of -57/40 and g.
40
Suppose -7*a + 193 = -283. Suppose 7 = 4*r + f - a, -2*r - 4*f = -48. Calculate the lowest common multiple of (-1)/(-1) + 1 + 0 and r.
18
Let o = 6863 + -185234/27. Let x be (-3)/(-12) - 21427290/(-4048272). Let m = 12/9371 - x. Calculate the common denominator of o and m.
216
Let k be (-9)/(-6)*2/1. Suppose 0*m = k*m - 15, -3*u + 2*m = -71. Suppose 45 = 4*g + g. What is the lowest common multiple of g and u?
27
Let i = 559891/52696 + 1/13174. Let c = 7123 + -199487/28. Calculate the common denominator of c and i.
56
Let w = 13594/15 + -2882/3. Let j = w + 1183/20. Calculate the common denominator of (-53 - 0)*23/69 and j.
12
Let m = -301 + 1195/4. Let r(n) = 2490*n + 4. Let j be r(-4). Let a = -159209/16 - j. Calculate the common denominator of m and a.
16
Suppose -3*u = 3*c + 2184, 52*u - 2209 = 55*u - 2*c. Let t = -7779/17 + -32961/119. Let i = u - t. Find the common denominator of i and 21/10.
70
Find the common denominator of 6/15 + -6 + 659454/118140 and -61/1790.
19690
Calculate the least common multiple of -2 - (-2 - 6) - (-4 + (-7 - -11)) and 6828.
6828
Let l(b) = 2*b - 1. Let x = 9 - 4. Let a be l(x). Let m(f) = f**3 - 10*f**2 + 12*f - 17. What is the lowest common multiple of m(a) and 22?
110
Let q = 1710259/3654860 - -4/16613. What is the common denominator of -7/1056 and q?
5280
Let d = -218252/5 + 426977/10. Let g = -955 - d. Calculate the common denominator of g and (-30)/(-44) - (-6 - -9).
110
Let d = 342 - -43. What is the common denominator of 2*(-1)/(-7) - d/98 and 11/172?
1204
Let f = -297689/98080 + 12/3065. Find the common denominator of f and 41/96.
96
What is the common denominator of (2/(-4))/(17/(-527)) and ((-378)/(-9576))/(6/136)?
38
Let u = 1290358 + -3945914683/3058. Calculate the common denominator of u and 99/556.
6116
Let i(w) = 2*w**2 + 15*w + 10. Let c be i(-7). Let r(y) = 7*y - 19. Let p be r(c). Calculate the common denominator of 2842/(-140) - p/(-15) and -89/4.
12
Let y = -75103 + 4506031/60. What is the common denominator of (-327)/(-90) - (-14)/21 and y?
60
Let k = -176865389/1690 - -104654. Calculate the common denominator of k and 49/507.
5070
Let q(o) = o**3 - 21*o**2 + 8*o + 7. Let p be q(7). Let c = 7471/12 + p. Calculate the common denominator of 53/18 and c.
36
Let g = 0 + 10. Suppose 5*d - 3 = t, 0*t = -t - 3. What is the least common multiple of g and (-49)/14*(d + -2)?
70
Suppose -p - 3 = 5*l - 21, 6 = 2*p. Calculate the common denominator of 9135/10350 + ((-3)/2)/l and 28/5.
115
Let a = 196391/660 + -84708/55. Let h = -1250 - a. Calculate the common denominator of h and -4/3.
12
Let p be 146019/(-33264) + 3/30*5. Let k = p - -1/1232. What is the common denominator of k and 53/21?
63
Let t be (39 - -3)*(2 + -3). Calculate the common denominator of ((-48)/105)/8*1420/(-32) and 134/t*3/(-2).
28
Suppose 5*n - 4*n - 9 = 0. Suppose -d - n = 4*v - 5*v, 4*d + 42 = -2*v. Calculate the smallest common multiple of 30 and (-22)/(-55) + ((-336)/d - 1).
330
Let s = -309101/122742 - 1/4546. Calculate the common denominator of ((-108)/(-20) + 4)*-1 and s.
135
Suppose -s - 3*i + 34 + 191 = 0, 4*i = s - 260. What is the least common multiple of 6 and s?
240
Suppose -561 = -27*h + 303. Calculate the smallest common multiple of 64 and h.
64
Let d be 197*(5/(-50) - -1). Let l(i) = 2*i**2 - 27*i + 13. Let y be l(18). Let w = y - d. What is the common denominator of w and 75/2?
10
Suppose 122*g + 7*g = 11352. Calculate the least common multiple of g and 44.
88
Suppose 0 = -5*j - k + 595, 5 = 5*k - 20. Let a(l) = l**3 + 37*l**2 + 16*l + 602. Calculate the least common multiple of j and a(-37).
590
Suppose -171 = -40*v + 189. Calculate the lowest common multiple of v and 1161.
1161
Let c = -106649/6618 - 57/1103. Let u = 7964520/7 - 1135371. Let a = u - 2423. Calculate the common denominator of c and a.
42
Let v = -7096 + 7102. Calculate the lowest common multiple of 1782 and v.
1782
Let k(b) = 4*b. Suppose -29*z = -2696 + 608. Calculate the lowest common multiple of z and k(7).
504
Let i = 908669/24 - 37856. What is the common denominator of i and 139/330 - 315/1050?
264
Suppose -3335 + 5837 = 6*r. What is the smallest common multiple of 81 and r?
11259
Suppose -218*n + 213*n + 305 = 0. Let b = n - 50. Suppose 29 = 2*w - 3*d, 2*w - 3*d - 39 = 2*d. Calculate the least common multiple of b and w.
77
Let o = -529/110 + 140/33. Let p = -74001 + 52454. Let b = p + 581834/27. What is the common denominator of o and b?
270
Let h = 335693/174 - 6702/29. Let m = -1690 + h. Find the common denominator of -22 + 15 - -7 - 13/6 and m.
6
Let c(m) = -6*m**3 + 11*m**2 + 3*m - 50. Let p be c(18). Let t = -5719117/182 - p. Find the common denominator of t and 43/6.
546
Let s = -4210105/108 - -38983. What is the common denominator of s and -86/15?
540
Suppose -4