What is the least common multiple of 546 and a?
2730
Let m be (77/36)/((-18)/165276). Let a = m + 19634. Find the common denominator of -101/30 and a.
90
Let n = -391 + 163. Let i = -208 - n. Calculate the lowest common multiple of i and 2.
20
Let a = -96 - -98. Suppose 12*m - 15*m + 76 = a*b, 0 = b - 5. Suppose -3*r = -6*r + 78. Calculate the lowest common multiple of m and r.
286
Let p = 43171/159800 - 1/6392. Find the common denominator of (-81)/(-60) + ((-6)/4)/(-3) and p.
100
Suppose f - 2*d + 18 = -6*d, -d - 3 = f. Suppose 2*s - 5 - 29 = -5*o, 0 = -2*s + 4*o - f. Calculate the least common multiple of s and 270.
1890
What is the smallest common multiple of 3128 and 4 + -11 + (13 - 12)*(1 + 22)?
6256
Let j = 15201037/540 + -28150. Calculate the common denominator of 4/297 and j.
5940
Suppose -2*m = 5*y - 29, 17 = m + 5*y - 5. Suppose 1095*x - 1080*x = 90. Calculate the smallest common multiple of x and m.
42
Suppose -6484 + 1386 - 3878 = -33*b. What is the least common multiple of 1088 and b?
1088
Let o = 82 - 42. What is the lowest common multiple of o and (-5)/((-25)/33 + 350/525)?
440
Suppose 0 = 5*k + 2*g - 3100, 643 = 7*k - 6*k + 5*g. Let b = k + -546. Calculate the least common multiple of b and 80.
720
Let t(h) = -5*h - 17. Let o(p) = 15*p - 57. Suppose -221 = 4*b - 17*b. Calculate the least common multiple of t(-5) and o(b).
792
Let j(y) = 263*y + 862. What is the smallest common multiple of 9 and j(0)?
7758
Let h = 1 - -2. Let b(f) = f**3 + 3*f**3 - 3*f**3 + 2 - 2*f**h + 2*f**2. What is the lowest common multiple of 62 and b(2)?
62
Let q be 1/3 - 28/3. Let b be 4/(-5)*(520/(-5) - -4). Calculate the smallest common multiple of 2 and (q/(-6))/(12/b).
10
Suppose b - b = -5*b. Let l(z) = 7*z + 8. What is the smallest common multiple of 24 and l(b)?
24
Let h = -3/403 + 5067/31031. Find the common denominator of 1/1239 and h.
13629
Suppose 0*t + 12*t = 24. Let b be t*-1*24/(-16). Suppose 213 + b = 8*m. Calculate the lowest common multiple of m and 27.
27
Let x = -22840/94449 - -106788980704/45429969. Let y = -30730/13 + x. Let g = y - -10157/444. Find the common denominator of 151/6 and g.
12
Find the common denominator of (4/6)/((-280)/(-1932)) and (-1)/(-1) + 2 - (-111)/(-180).
60
Let s(c) = -180*c**2 - 12*c - 12. Let f be s(-1). Calculate the common denominator of -69/44 and (-373)/f - (-3 + (-58)/(-18)).
220
Let z = -41330 + 76748. Let m = z - 22207. Let o = -277495/21 + m. What is the common denominator of o and 16/21?
21
Let b = 132857/30 + -4430. Let q = 1832593/50 + -36650. What is the common denominator of b and q?
150
Let u(k) = 7*k + 25. Calculate the smallest common multiple of (-8 - -8)/(-12) - -22 and u(-3).
44
Calculate the common denominator of 7/14*4*9/(-135) and (28/240)/(1/2).
30
Let b(z) = -143*z - 73. Calculate the least common multiple of b(-1) and 60.
420
Let h be (-4 + (-4558)/(-4))*(0 - -2). Let p = h - 13687/6. Let g = -1/338 + 23663/1014. Find the common denominator of p and g.
6
Let l(g) = g**2 + 3*g - 14. Let y be l(-8). Let d = y + 0. Suppose 2*n + 4*f = -0*f + 28, -3*f = 2*n - d. Calculate the least common multiple of n and 20.
20
Suppose -5*r + 1682 = 3*i, 30*r - 1340 = 26*r - i. Calculate the least common multiple of r and 1.
334
Let n = -1462 + 1465. Let j = 0 + 0. Suppose j*h = n*h - 42. Calculate the smallest common multiple of h and 22.
154
Suppose 5*m + 178 = -3*f, 6*f = 8*f + 4*m + 120. What is the least common multiple of (-66)/(-1)*f/(-42) and 132?
264
Let a be 2*(-2)/20 - (-3956)/(-20). What is the common denominator of -59/8 and 10/(-15) + (-262)/a?
792
Let t = -33 + 30. Let q be (-1 - -2)*(2 + t). Find the common denominator of (-540)/400 - (q + -1 - -2) and -61/45.
180
What is the common denominator of ((-1150)/(-161))/(792/(-77)) and (-2)/752*(-62 + 0)?
1692
Let g = -391/1116 - -9/124. What is the common denominator of 133/312 and g?
936
Let l = -14939856349/2432576 - -25/76018. Let g = l + 6141. What is the common denominator of g and -59/6?
192
Let q be 80/15*51/(-4). Let n = q - -12. What is the common denominator of -56/11 and 386/n + 21/28?
77
Let o(l) = 17*l**2 - 3*l + 1. Let m be o(1). Suppose 117 = 18*g - m*g. What is the lowest common multiple of 3 and g?
39
Let g(x) = 27 - 15 + 3 + 59*x. Let p be g(-5). Calculate the common denominator of -83/10 and (-2)/(-8)*(p/6)/(-2).
30
Suppose -3 = -0*o + 3*o, -5*o + 40 = -5*d. Let g be (-3)/d + (-3)/((-10080)/77162). Let x = g + -381/16. What is the common denominator of x and 145/6?
210
Let r = 13253 + -185425/14. Let a(f) = -4*f**2 - 3*f - 12. Let y be a(-20). Let i = y + 58993/38. Calculate the common denominator of r and i.
266
Let m = -8 - -11. Suppose 7*a - m*a = 88. Let d = -10169 - -10201. What is the smallest common multiple of a and d?
352
Suppose -16 = -3*b - 4. Suppose 104*i - 11527 = -8823. What is the smallest common multiple of b and i?
52
Let j = 577157/2921144 + 56/7769. Calculate the common denominator of 58/141 and j.
1128
What is the common denominator of -59/783 and (7/(-14))/((-5346)/684)?
8613
Suppose 11*f = -9*f + 280. Suppose i - f = -w, -w - 8 = -4*i + 48. Calculate the lowest common multiple of 28 and i.
28
Let p(h) = -2*h**2 + 4*h + 40. Let z be p(-14). What is the common denominator of -28 and (z/792 - (-4)/2) + -1?
33
Let v = -6568293/190 + 34570. Calculate the common denominator of 71/855 and v.
1710
Let w(n) be the second derivative of -n**5/20 + n**4/6 + n**3 + 15*n**2/2 + 2*n + 48. Suppose -o - 2*o = -30. What is the least common multiple of w(0) and o?
30
Let u = -1338 - -1341. Let s(h) = h**3 - 13*h**2 + 14*h + 3. What is the smallest common multiple of u and s(12)?
27
Let w(t) = -1053*t - 2009. What is the least common multiple of w(-3) and 2645?
26450
Let m be 9 + (-520)/16 + (-3)/6. Calculate the lowest common multiple of 220 and (m/(-36))/(2/18).
660
Calculate the common denominator of 67/20 and 6/(6*(-52)/(-8))*-24.
260
Suppose 6*x + 14*x = -2160. Let h = 320/3 + x. What is the common denominator of -37/13 and h?
39
Let a be 7 + -2 + 2 + (7 - 2). Find the common denominator of ((-86)/a - -7)/((-2)/(-164)) and 2/8*(-218)/12.
24
Suppose -13*c = -1664 + 208. Calculate the least common multiple of 6 and c.
336
Let q = 1351539/100 - 13515. What is the common denominator of q and (1 + 0 + 0)*(-86)/180?
900
Let u(l) be the third derivative of -l**5/60 + 3*l**4/2 + 7*l**3/6 + 19*l**2 + l. Calculate the lowest common multiple of u(35) and 12.
84
Let o be (-18)/(-7)*(-10 - 0 - -52). Calculate the common denominator of (-85)/(-42) - 18/o and 43/70.
70
Let x = 1059/7 + -105107/693. Find the common denominator of x and -20/1353.
4059
Let v = 100979/6 - 16854. Find the common denominator of v and 17/2206.
6618
Let p = 367973/153714 - -3/51238. Let d = 41/65 + -5029/8385. Find the common denominator of p and d.
1419
Suppose 5*g + 10 = -5, 2*g + 1056 = 5*q. Let y = q + -132. What is the smallest common multiple of y and 4?
156
Let d(q) = -29*q + 176. Suppose -2*r + 3*f + 14 = 0, 4*r + 0*f + 3*f = 46. Calculate the smallest common multiple of d(6) and r.
10
Let f = 361 + -521. What is the common denominator of 2/6 + (-38)/(-21) and (-235)/f*6 - 4?
112
Suppose 343 = a + 2*f, 4*f = -5*a + 2*f + 1715. Calculate the common denominator of (-1)/6*5978/a and 58/3.
21
Let v(u) = 4*u + 33. Let n be v(21). Suppose -2*x + 5*a - n = -4*x, -x - 3*a = -60. Suppose 12*p = p + 330. What is the smallest common multiple of x and p?
510
Let r(v) = -45*v**2 + 5*v - 4. Let d be r(1). Find the common denominator of (d/(-4))/((-546)/(-143)) and -26/3.
42
Let m be 12/(-3) - (-34548)/(-2832). Let x = m - 3/59. Calculate the common denominator of x and (-97)/3*(4 - 35/8).
8
Let r(p) be the third derivative of p**5/30 + 35*p**4/24 + 37*p**3/6 - 3*p**2 - 28*p. What is the smallest common multiple of 132 and r(-17)?
660
Calculate the common denominator of -71/567 and (-2688)/(-3360) - (1 - (-2234)/(-15120)).
4536
Suppose 2*i - 4*k - 23 - 17 = 0, -3*i = 5*k - 49. What is the common denominator of ((-58)/(-4))/(i/(-8)) and -55/51?
153
Suppose -53*y - 199 = -249 - 2176. Let n = 21 - 9. Calculate the lowest common multiple of y and n.
84
Suppose s = -a + 5, 0*a + 8 = a - 2*s. Let d(c) = 35*c + 2348. Calculate the lowest common multiple of a and 