4)))/(8/54) and -1/181.
362
Let v = 108 + -313/3. What is the common denominator of v and 7 + ((-197)/(-6))/(2 - 7)?
30
Let y = 75379/566928 - 4/3937. What is the common denominator of y and 19/126?
1008
Suppose 3*o - 4*d - 27 = 0, -3*d - 1 - 3 = o. What is the least common multiple of 7 and o?
35
Calculate the lowest common multiple of ((-425)/(-51))/((-2)/(-24)*2) and 45.
450
Let f be 2/3 - (-8)/6. Suppose -y - 14 = -f*v - 2, -4*y + 16 = 0. What is the least common multiple of v and 3?
24
Let n = -3464 - -48519/14. What is the common denominator of 6/(-15) + (-61)/(-20) and n?
140
Let q = 16 - 8. Let r = 141 - 131. What is the least common multiple of r and q?
40
Suppose 2*j + 363 = b, 6*b + 2*j = b + 1815. Calculate the common denominator of (-4)/10 + (-491)/60 and 2/(54/b)*18/24.
12
Let p be -2 + (7 - (0 + 0)). Suppose -3*u + 21 = 2*u - 3*b, p*b = -3*u - 1. What is the lowest common multiple of u and 3 + (14 - 306/27)/((-4)/(-6))?
21
Let u be 144/14 - (2 - (-12)/(-7)). Suppose -u*x - 12 = -102. What is the smallest common multiple of x and 17?
153
Suppose -5*m - 33 = 97. Let k(c) = -c**3 - 20*c**2 - 17*c - 8. Let q be k(-19). Let y = m - q. Calculate the lowest common multiple of 10 and y.
20
Let f = -1016638663/20 + 50842017. Let l = f - 10081. Find the common denominator of (-266)/(-60) - (-2)/5 and l.
60
Let j = 1627/2 - 858. Calculate the common denominator of j and 11/20.
20
Let w = 2/17 - 1011/68. What is the common denominator of 7/96 and w?
96
Let b(m) = m**3 + 9*m**2 + 14*m + 2. Suppose 4*w + 5*q + 38 = 0, -3*q + 4 = -2*w + 2*q. What is the smallest common multiple of b(w) and 24?
24
Let o(x) = -x**2 + 25*x + 128. Calculate the lowest common multiple of 6 and o(29).
12
Let q = -3634/17 + -59699/51. Let n = q - -1409. What is the common denominator of (-44*2/28)/(3 - 1) and n?
21
Let q = 4 + -32. Let i = -550 + 1660/3. Find the common denominator of -1 + (0 - q/9) and i.
9
Suppose -5 - 1 = -2*v. Suppose 2*m - m = 2*l - v, 3*m + 6 = 5*l. Suppose 9 = l*o, 3*n + 2*n - 3*o = 16. What is the smallest common multiple of 8 and n?
40
Calculate the common denominator of -12 + 156/(-168) + 12 and 49/1154.
8078
Let j = -1/2148 - 47791/4296. What is the common denominator of -3/74 and j?
296
Suppose 25 + 2 = 3*h - 3*j, 2*j = 5*h - 42. Suppose 5*b - 221 = -3*o, b - 2*b + 1 = 0. Suppose 7*y - o + 2 = 0. What is the lowest common multiple of y and h?
40
Suppose -2*j = -5*k + 8, 0 = -5*j + 7*k - 2*k + 10. Calculate the lowest common multiple of j and (-6)/(-8) - (-732)/48.
48
Let b(o) = 3*o**2 - 12*o - 10. Suppose 0 = -12*s + 62 + 154. What is the least common multiple of b(6) and s?
234
Let f = -8562943/90 + 95145. What is the common denominator of f and -63/40?
360
Suppose 5*n - 13 - 17 = 0. Let j(g) = 80 + g**2 + 73 - 10*g - 129. Calculate the least common multiple of j(8) and n.
24
Suppose -61 = 4*j + 111. Let c(u) = 60*u**2 - 2*u - 1. Let g be c(-1). Let z = g + j. Calculate the least common multiple of z and 4.
36
Let v(i) = i**3 + 6*i**2 + 2. Let t be v(-6). Suppose -3*f + t + 4 = 0. Calculate the lowest common multiple of f and 20.
20
Let a = 1241/2 - 3061/5. What is the common denominator of ((0 - 6) + 4)/((-176)/(-228)) and a?
110
Let d(c) = 35. Let y(t) = -t - 104. Let m(i) = 8*d(i) + 3*y(i). What is the smallest common multiple of m(-12) and 8?
8
Let r = 56 - 88. Find the common denominator of 39/4 and (-5 - 46/12)*(-6)/r.
32
Let u be 12/(39/(-12) + 4). Suppose -u = -7*b + 40. What is the smallest common multiple of b and 10?
40
Let d be (-210)/3 - 4/2. Let k = 423/7 + -7355/126. What is the common denominator of k and 22/d - (-1)/4?
18
Let y be (-28)/(-21)*3/2. Suppose y = -4*j - 3*g - 1, 3 = g. What is the common denominator of j/24 + 399/120 and 6/11?
55
Let q be (-256)/10 + (-16)/40. Let o be 6/(-10) - q/(-10). Let d = o + -1/20. Calculate the common denominator of -71/10 and d.
20
Suppose 0 = 5*d - 4*c - 360, 2*c + 288 = 4*d + 6*c. What is the least common multiple of d and 56?
504
Let q(w) = -68*w + 148. What is the lowest common multiple of 180 and q(2)?
180
Let u be 1/2*6*1. Suppose 5*z - b + u = 0, 3*b - 5*b = 4*z - 6. Let n = 14 - z. Calculate the smallest common multiple of n and 10.
70
Let d be ((-18)/(-5))/(4/(-10)). Find the common denominator of 70/3 and d/(-15)*(-290)/15.
15
Suppose 10 - 28 = -3*q. Let o = 71 + -50. Suppose 4*i - 15 = o. What is the lowest common multiple of q and i?
18
Let j be ((-3)/(-2))/((-7)/(-14)). What is the least common multiple of 11 and (j/(-5))/((-5)/275)?
33
Suppose 5*y + 1515 = -2*f, 8*y - 3*y - 4*f + 1515 = 0. Let h = 2112/7 + y. Calculate the common denominator of -6/11 and h.
77
What is the smallest common multiple of 9/12*(-600)/(-15) and 120?
120
Let z = -268 + 287. What is the smallest common multiple of 76 and z?
76
Let z = 1184/39 + -9041/234. Calculate the common denominator of z and (-2816)/(-264)*(-1)/(-23).
414
Let d = 158 + -353/2. Let c = -27/50 - -6/25. Find the common denominator of c and d.
10
Let h = -747 + 785. Suppose 0 = -0*g + 2*g - 44. Calculate the lowest common multiple of h and g.
418
Let t(x) = 13*x**2 - 9*x - 170. What is the least common multiple of t(-12) and 20?
3620
Let s = -7162 + 250648/35. What is the common denominator of ((-38)/(-304))/(3/260) and s?
210
Let u = 165 + -153. Suppose 144 = u*p + 12. What is the lowest common multiple of 2 and p?
22
What is the common denominator of 45/41 and (-30)/36 + 0 + 2/6?
82
Let n = -3150 + 34690/11. What is the common denominator of 14/49 + 106/(-28) and n?
22
Let g be -1 + 1 + 3 + 400. Suppose -1054 = -5*t - 3*w, -t + 3*t - 5*w = g. Calculate the common denominator of -103/22 and t/12 - 1/4.
66
Let p(b) = -b - 4. Let k be p(-8). Suppose -k*s - 6 = -30. Suppose -121*d + 12 = -120*d. What is the smallest common multiple of d and s?
12
Let p be (-567)/(-28)*((-11)/(-3) + -1). Let d = 59 - p. What is the lowest common multiple of 9 and d?
45
Suppose -2*h - 20 - 36 = 0. Let s = -26 - h. Suppose -2*q - 16 = -2*x + 2*q, s*x + 2*q - 22 = 0. Calculate the lowest common multiple of 24 and x.
120
What is the common denominator of ((-2)/282)/((-265)/(-270) - 1) and 7/10?
470
Let t = 8 - 5. Suppose 0 = -3*k + 3 + 9, t*n - 4*k = -7. Suppose 8*i - 5 = 3*i, -n*r + 11 = -i. Calculate the lowest common multiple of r and 1.
4
What is the common denominator of 104/(-39)*6/(-336) and 1 + -1 + (-124)/(-60)?
105
Let b(r) = -4*r**2 - 42*r - 10. What is the smallest common multiple of 6 and b(-9)?
132
Let a(w) = 3*w - 21. Let p be a(-11). Let o = -10 - p. What is the smallest common multiple of o and 2?
44
Suppose -7 + 143 = 4*f. Suppose 176 = 4*b + 5*j, -7*b = -5*b - 13*j - 26. Calculate the common denominator of b and ((-1)/(-10))/((-2)/f).
10
Suppose -2226 = 4*z - 2*f, -227 = 3*z + 4*f + 1459. What is the common denominator of 2/(-15)*z/(-48) and -93/10?
20
Suppose 744*y - 746*y = -18. Calculate the smallest common multiple of y and 6.
18
Suppose h + h - 32 = 0. Let f be 4/12*0/1. Let u = f - -18. Calculate the smallest common multiple of h and u.
144
Suppose -2050 = -22*p - 114. Calculate the least common multiple of 99 and p.
792
Let f be 1/(((-6)/3)/82). Let s = f - -43. What is the least common multiple of 12 and s?
12
Suppose 30*z - 912 = 1308. What is the lowest common multiple of 42 and z?
1554
Suppose x - 3 = -26. Let c = -7 - x. Suppose 44 + 8 = 2*i. Calculate the smallest common multiple of c and i.
208
Calculate the least common multiple of 78*(2 + 0)/4 and 27.
351
Find the common denominator of -29/4 and 27 - 17 - 217/16.
16
Let x = 719/11 - 44977/660. Calculate the common denominator of x and -37/162.
1620
What is the common denominator of -87/34 and 250/56 + 30/(-6)?
476
Let b = -281 + 293. What is the lowest common multiple of b and 6?
12
Let f = -274 + 286. What is the least common multiple of 460 and f?
1380
Let d = 349 + -1086. Let q be (4 - (-5668)/24)*3. Let i = q + d. Calculate the common denominator of -20/11 and i.
22
Let m = 203 + -143. Calculate the least common multiple of (2*1)/(12/m) and 4.
20
Calculate the common denominator of (510/(-54))/5 - (-2 - 1) and -143/108.
108
Suppose 2*k + 2 = 3*k. Suppose 2*z - 14 = a + 3*a, z + k*a = -1. Calculate the least common multiple of z and 32.
96
Suppose 1 = c - 2