u) = -4*u + 23. Let w be c(-20). Suppose 0 = 2*s - l - 73, 2*s + 21 = -2*l + w. What is the lowest common multiple of 1 and s?
38
Let g = -180 - -344. Suppose 5*m + 39 = f + g, 4*m + 4*f - 76 = 0. Calculate the lowest common multiple of 40/(-50)*(0 - 30) and m.
24
Suppose 15*u = 19*u + 1232. Calculate the common denominator of ((u/105)/(-11))/((-1)/70) and -1 + 38/17 + 1.
51
Suppose 2*j + 90 = 4*o, 81 = -5*o + 2*j + 195. Let b = -364717/24 - -15192. Find the common denominator of (-1 - 23/o) + (-6)/18 and b.
24
Let x(j) = j**2 - 6*j + 7. Let g(q) = -43*q + 177. Let k be g(4). Let b = 75 - 53. What is the smallest common multiple of x(k) and b?
22
Let d be (-4*(-2)/4)/2. Let r = d + 5. Suppose -295*u + 312*u - 170 = 0. Calculate the smallest common multiple of r and u.
30
Suppose -p - 5*b = 2 + 44, -4*p = 5*b + 169. Let h = -43 - p. Find the common denominator of -97/28 and (3048/216)/(h/(-3)).
84
Let h(n) = -n**3 + 14*n**2 + 18*n + 63. What is the smallest common multiple of 756 and h(15)?
756
Let m = -5039/14490 + -67/207. Calculate the common denominator of m and -7/4.
140
Let a = 171 + -160. Suppose 0*j = -j + 3*o - a, -65 = 3*j - o. What is the common denominator of 0/2 + 102/147 and j?
49
Calculate the least common multiple of ((-735)/(-28))/((-12)/(-32)) and 55.
770
Let g = -265221455/367524 - -59898/83. What is the common denominator of 43/328 and g?
8856
Let x = -31854079/632 + 50402. Calculate the common denominator of -38/395 and x.
3160
Let r = 105415 + -108261195/1027. Let o = r + 136411/18486. Calculate the common denominator of o and (-18)/(-80) - 8/(-20).
72
Suppose -24184 + 316 = -156*a. What is the smallest common multiple of 6171 and a?
18513
Suppose t + a = 291, -5*a - 1173 = -102*t + 98*t. Calculate the lowest common multiple of 4 and t.
292
Suppose -2*g = 2*l + 40654, -8259 = g - 2*l + 12071. Let k = 1076082509/30 + -35849093. Let c = g + k. Calculate the common denominator of -163/30 and c.
30
Let n = 4222 + -1215913/288. What is the common denominator of 9/976 and n?
17568
Suppose -60 = -2*v - 46. What is the common denominator of -1 + ((-47)/(-42) - 2) and v/28 - 63/(-12)?
42
Let r = -338 + 342. Suppose 0 = -r*d + 118 - 110. Calculate the smallest common multiple of 18 and d.
18
Let n(o) = -o + 60. Let u be n(19). Let c(w) = -w**3 - 5*w**2 - 3. Let m be c(-4). Let b = u + m. What is the smallest common multiple of b and 14?
154
Suppose -16*g - 486 = -43*g. Suppose k - 4*k + 8 = -2*d, 3*k - 13 = d. What is the smallest common multiple of k and g?
18
Let n = 1/4768 + -20863/14304. Find the common denominator of 19/64 and n.
192
Suppose x + 5*z - 36 - 42 = 0, 2*x + 2*z - 132 = 0. Calculate the smallest common multiple of 1/4 - 27/(-4) and x.
63
Suppose 0 = -12*y + 10*y + 28. Suppose -y*k + 15*k = 105. What is the lowest common multiple of k and 20?
420
Let a(y) = 28897*y - 2. Let p be a(2). Let q = p - 6819499/118. Let r = -455813/11 - -41438. What is the common denominator of q and r?
1298
Let r(a) = -a**3 + 11*a**2 - 8*a - 23. Let z be r(10). Let y = 23/12 + -105/4. Calculate the common denominator of (-1)/z*122/4 and y.
6
What is the common denominator of 1233/156 + 2/(-13) and (93/(7 - 4))/7?
28
Let d = -6202 - -30981/5. What is the common denominator of 68/4209 and d?
21045
Let s = 207 + -131. Suppose 3*c - 85 = 374. Suppose -137*b - 48 = -c*b. Calculate the least common multiple of s and b.
228
Find the common denominator of -145/492 and (-190)/76 + 469/164.
492
Suppose 42 - 92 = 5*n, -n - 90 = -4*a. Let m(f) = 6*f + 11. What is the least common multiple of m(9) and a?
260
Let u(p) be the first derivative of p**2 + 24*p - 29. Let f(q) = 1. Let k(v) = -2*f(v) - u(v). Calculate the smallest common multiple of k(-14) and 8.
8
Calculate the common denominator of (105304/31360 - 3) + 3/5 + -1 and 89/686.
5488
Suppose 18475 = 23*d + 15242 - 45941. What is the smallest common multiple of 16 and d?
17104
Let s = 46469/70 - 3361/5. Let z = 344 - 512. Let w = z + 681/4. What is the common denominator of s and w?
28
Let m = -3564855 - -35688501/10. Let a = -3991 + m. Find the common denominator of (38/4)/((-10)/12) and a.
10
Let a be 2/12 - 3522991197/18. Let g = -6264016383/32 - a. Let l = -28776 - g. Find the common denominator of 91/4 and l.
32
Let z = 21719/14 + -1555. Find the common denominator of z and 35/2168.
15176
Let k = 55 - 51. Let r be (-6869)/(-4) + (3 - 13/k). Let x = r - 20473/12. What is the common denominator of 73/21 and x?
84
Let t(d) = d**2 - 12*d - 13. Let h be t(12). Let q = 2931/4 + -11787/16. What is the common denominator of q and 2883/(-1248) + (-2)/h?
32
Let m(v) = 994*v + 450. What is the lowest common multiple of 30 and m(0)?
450
Suppose 4*n - f - 1527 = 0, 1174 = 4*n - n + 5*f. Suppose 0 = 31*w - n - 392. What is the least common multiple of w and 3?
75
What is the common denominator of (-26*-7*11/(-1540))/(88/(-70)) and -49/904?
9944
Suppose -133 = -6*r - 61. Suppose 2*m = -3*m - b + 56, -3*m - 5*b = -38. Calculate the lowest common multiple of r and m.
132
Let p be (-12)/(-6832)*(-34780)/(-66). Let b = p + 2/671. What is the common denominator of 161/30 and b?
210
Let y be (-6)/(((-20)/(-8) + -2)*-3). Suppose 0*a = y*a - 36. Let w = -12 - -39. What is the least common multiple of a and w?
27
Let v = 2/355879 - 19930346/199648119. Calculate the common denominator of 9/85 and v.
2805
Let b be -2*((0 - -5) + -4) + 7. Suppose b*a - 6 = 4*a + 5*g, -a + 9 = -4*g. What is the smallest common multiple of a and 9?
63
Suppose -64 = 4*d + 100. Let j = 73 + d. Find the common denominator of 109/6 and 1 + (j/112)/((-12)/202).
42
Let d(g) = g**3 - 11*g - 4. Let x be d(-3). Let i = -9 - -18. Calculate the smallest common multiple of 0 + x/(-4) + 44/8 and i.
45
Let x = 18421/10 + -1847. Let j = -14443/18 - -7192/9. Calculate the common denominator of j and x.
90
Suppose x - 240 = -0*x. Let v(a) = 53*a + 747. Let n be v(-14). Suppose -r = n*r - x. What is the least common multiple of r and 6?
120
Let p = -24 + 18. Calculate the common denominator of (-88)/(-12)*(-2)/32 and (-1605)/p*9/540.
24
Let g = 3/1445 - 53474/4335. Let b = -10 - -6. Find the common denominator of g and (-46)/72 + b/18.
36
Let h = 17613757/11 - 1603975. Let s = h + 2722. Calculate the common denominator of -9/76 and s.
836
Suppose 0 = -m - 4*p + 272, m - 13*p + 16*p - 270 = 0. Calculate the least common multiple of 132 and m.
264
Find the common denominator of -131/54 and 1651/(-396) + (-284)/(-781).
108
Let o(t) = -91*t + 2248. What is the lowest common multiple of o(-18) and 22?
42746
Suppose 0 = 9*i - 13*i - l + 3409, 0 = i - 4*l - 848. What is the least common multiple of i and 120?
8520
Let s = -6 - -6. Suppose s = 2*d - 26 + 4. Suppose -166 = 28*r - 474. What is the lowest common multiple of d and r?
11
Let o = -2336 - -6636. Let k = o - 90382/21. Let y = -1/16713 + -607231/133704. What is the common denominator of k and y?
168
Let c = -3887183126 - -65957723199233/16968. Let f = -11261 - -23884583/2121. Let i = f + c. Calculate the common denominator of i and 55/2.
8
Let a = 494818433/22 - 22485389. Let w = a + -6362. Calculate the common denominator of w and -145/876.
9636
Let d be ((-1)/5)/(13/(-130)). Suppose 4*b - d*o = -0*b + 668, 3*o + 338 = 2*b. What is the smallest common multiple of 8 and b?
664
Suppose -5*w + 2*d = -54, -3*w - 2*d - 6 = -48. Calculate the common denominator of -79/10 and -8 + w + (-161)/44.
220
Suppose 9*i - i = 40. Suppose 46 = -2*u + i*f, 4*u - 6*f + 82 = -f. What is the common denominator of 30/7 and ((-3)/(-9)*-85)/(84/u)?
14
Suppose 55*y - 15060 = 18150 - 5490. What is the least common multiple of 432 and y?
3024
Let k(i) = -i**2 - 14*i - 34. Let x be k(-10). Let t be ((-3)/x - -1)*2. Suppose -39*l + t = -38*l. What is the smallest common multiple of l and 11?
11
Let r be (212/(-6))/(0 + (-3)/135). Let b = r + -6433/4. What is the common denominator of 67/24 and b?
24
Let h be 3/4 + (-221)/(-52). Suppose 5*q - h*k - 105 = 0, -4*q + 22 = k - 62. Suppose -q*c = -16*c - 30. What is the smallest common multiple of 6 and c?
6
What is the lowest common multiple of 2 and (-781)/(-3) + -9 + 8/(-6)?
250
Suppose k - 30 = -k + 4*o, -2*o - 25 = -3*k. Calculate the least common multiple of 5 and 0 + 2 + 58 - 