t w = -871 + 1452. Let g = w - 2887/5. Calculate the common denominator of g and 62/63.
315
Calculate the common denominator of ((-126)/(-441) + 2174/(-504))/2 and 25/1368.
1368
Suppose -l - 4*m + 2 = 0, -2*m = -15*l + 18*l - 26. Calculate the smallest common multiple of l and 22 - (2 - 3)*0.
110
Let j = 62 - 63. Let z be 1103/(-3291) - j/3. Let o = -134911/10970 + z. Calculate the common denominator of o and -13/28.
140
Suppose 388 = -c + 5*c. What is the common denominator of 28/(-8)*3315/(-819) and c/(-66) + (-2)/(-6)?
66
Let w = -295747/6 + 49270. Let p = 3/32 - 17/96. What is the common denominator of p and w?
12
Let m be 0 + -1 + (-132)/(-33). Suppose 4*y - 106 = -3*j, 5*j - 4*y - y - 200 = 0. What is the least common multiple of m/(15/85) - -5 and j?
418
Let o(h) = h**3 + 33*h**2 + 155*h + 489. What is the lowest common multiple of o(-27) and 1356?
1356
Let w(t) = 12*t - 74. Let l(r) = 7*r - 38. Let j(f) = 7*l(f) - 4*w(f). Calculate the least common multiple of j(-21) and 21.
63
Suppose 158*v + 111*v = 71016. Calculate the smallest common multiple of 4056 and v.
44616
Let f be -4 + ((-15)/(-2) - 4)*2. Let h(t) = 4*t + 2. Calculate the least common multiple of 11 and h(f).
154
What is the common denominator of (-195)/429*(-870)/100 and -67/170?
1870
Suppose -59 = -63*n + 768 + 181. Calculate the least common multiple of n and 128.
128
Let u = -22960/47 + 37840101/77456. What is the common denominator of u and 91/60?
24720
Let y(k) = 9*k**3 + 450*k**2 - k - 32. What is the smallest common multiple of y(-50) and 332?
2988
Let a(d) = -282*d + 6. Suppose 0 = 2*x - 0*f - 4*f + 22, -6 = x - f. Let o be a(x). Calculate the common denominator of -63/8 and (1412/o - -1) + (-8)/(-36).
8
Let m(r) = -2*r**2 - 288*r + 604. Suppose -2*b = -5*o + 317, o - b + 5*b - 81 = 0. Calculate the smallest common multiple of o and m(-146).
260
Suppose -2*z + 263 = 3*g, 2*z - 4*g - 156 - 128 = 0. Let q = -1202 - -1204. Calculate the lowest common multiple of q and z.
136
Suppose 4*q + 25 = -5*n, -3*q - 2*q - 15 = 3*n. Suppose q = 5*f + r - 63 - 7, 0 = 2*r. What is the smallest common multiple of f and 22?
154
Let h = -166191448/1095 + 151773. What is the common denominator of h and 41/19?
20805
Suppose -g = -4, 44 = -1662*j + 1666*j + 3*g. What is the smallest common multiple of j and 5?
40
Let g(d) = 2*d**2 + 40*d + 21. Let i be g(-11). What is the lowest common multiple of i/(-8) + (3 - 4)/8 and 72?
792
Let h be (9/(-6))/(1*(-32848)/17861585737068). Let l = h - 815647177. Let x = l - 1/4106. Calculate the common denominator of x and -53/10.
40
Let i(y) = -6*y. Let q = 8 - 95. Let r = -86 - q. What is the lowest common multiple of i(-1) and r?
6
Let t = 79 + -67. Calculate the smallest common multiple of 3 and t - 1 - (-2 + 1)*-2.
9
Suppose 0 = 46*h - 122*h + 10032. Calculate the least common multiple of 16 and h.
528
Let l = 5044 - 40295/8. Let z = -127/1040 - -11/130. Find the common denominator of z and l.
80
Let c(h) = -h**2 + 12*h - 30. Let b be 2*1 - (6 - (-32)/(-4)). Calculate the lowest common multiple of c(b) and 8.
8
What is the common denominator of (((-170)/55)/17)/(60/62) and 11/57?
3135
Calculate the least common multiple of 3906 and (4/24*-10)/((-95)/10602).
3906
Let a be (-180)/40*(2 + 4/(-6)). Let c = -733 + -111. What is the common denominator of (-4)/a + -3 + c/168 and 1/22?
154
Let y = -496658485/924 + 537509. Calculate the common denominator of y and 73/651.
28644
Let z be 5/(-15)*24/(-4). Suppose -z*b + 41 = 3*s, -2*s - 90 = -0*b - 4*b. What is the lowest common multiple of 16 and b?
176
What is the common denominator of -4 - (687884/(-163392) + 3*3/36) and 1/6?
1776
Let y(r) = -327*r**3 + 9*r**2 - 11*r + 2. Let i be y(1). Let q = -321 - i. Calculate the smallest common multiple of 26 and q.
78
Let f = 3645 - 3590. Let c(p) = 2*p + 230. Calculate the least common multiple of c(0) and f.
2530
Suppose -13*a = 27644 - 66491 - 38217. What is the smallest common multiple of a and 24?
5928
Suppose 5*b - 3*m = 8*b - 69, 2*m - 109 = -5*b. Calculate the least common multiple of 665 and b.
1995
Suppose -85*h + 2211 = -1019. What is the lowest common multiple of 95 and h?
190
Let j = -2565/44 + 391/11. Let k = 4/537 - 25796/2685. Calculate the common denominator of k and j.
20
Let s = 2931 - 152423/52. Calculate the common denominator of s and -55/148.
1924
Let p(y) be the first derivative of -y**3/3 - 5*y**2/2 + 2. Let o be p(-6). Calculate the common denominator of 6/(132 + o)*(87 - 1) and -25/3.
21
Let j(k) = 27 - 3*k - 3*k**2 + 3*k + 19*k + 4*k**2. Calculate the smallest common multiple of j(-19) and 12.
108
Find the common denominator of -65/46 and 30*(-848)/896 - -26.
644
Suppose 56*f = 51*f - 5. Calculate the least common multiple of (-134)/(-10) + f + 9/15 and 10.
130
Suppose 0 = 3*k - 6*k + 2*t - 2, 4*t - 4 = 0. Let r be 18 - (0 + (k + -1)*-3). What is the least common multiple of 89/5 - (-3)/r and 7?
126
Suppose -3*h - 234 = -2*h - u, 0 = 5*h + 4*u + 1206. Find the common denominator of 71/9 and (54/(-189))/((-6)/h).
9
Let n = 194 - 226. Let a = n + 42. Calculate the least common multiple of a and 9.
90
Let l = 142537/2808 - 3643/72. Calculate the common denominator of 83/156 and l.
1404
Let m = 676967/72 + -9402. Find the common denominator of m and (-188)/(-6)*(-7 - (-377)/54).
648
What is the lowest common multiple of 1 and (6687/(-7))/(-3) + (-1712)/(-2996)?
319
Calculate the lowest common multiple of ((-6)/(-10))/((-2574)/(-1072500)) and 16.
2000
Suppose 56 = 2*f - 4*w, -39*f = -41*f + 3*w + 64. What is the lowest common multiple of 517 and f?
2068
Suppose 0 = 3*u - 60*p + 59*p - 159, p - 171 = -3*u. What is the smallest common multiple of 215 and u?
2365
Let w = 13793 - 6152. Suppose -3*t = 5*l - 0*l + w, -5094 = 2*t - 5*l. Let f = 15197/6 + t. Calculate the common denominator of -7/16 and f.
48
Let o(j) = 3*j**2 - 55*j - 1696. Calculate the smallest common multiple of 81 and o(-22).
26082
Suppose -11*v + 18*v = 2590. Suppose -3*o - 80 = -4*o + 5*t, -5*o - 5*t = -v. What is the least common multiple of 45 and o?
225
Let n = 87973/550 + -1750/11. Let i = -193/10925 + -4/475. Find the common denominator of i and n.
1150
Let t = -3679/2398 + 846/109. Let i = 1931/220 - t. What is the common denominator of i and 15/28?
140
Let m be 20 + -11 + 3/3. What is the common denominator of m + (-264)/27 - 112/99 and -41/32?
352
Suppose -5*j + 13*j = 6*j. Let p be (-1 - j)/((-22)/(-110)). Calculate the smallest common multiple of 28 and (p - (0 + -36)) + -3.
28
Suppose 418 = -3*d + 439. What is the lowest common multiple of d and 13/104 - 8668/(-32)?
1897
What is the common denominator of (5364/(-81840) - 27/(-45)) + (-1)/11 and (-6)/8*(-1)/(-3)?
124
Let i = -332 + 337. Calculate the common denominator of 85/8 and (-70)/56*(3 - 54/i).
8
Suppose -11 = -l - 2*g - 9, 5*l - g = 10. Suppose 4*u + 16 = j - u, l = 2*u. What is the lowest common multiple of 1 and j?
21
Let h = -598 - -34681/58. Let j = 90/61 + -4447/244. Calculate the common denominator of j and h.
116
Let v = -1/9500 + -59357/171000. What is the common denominator of v and 115/888?
2664
Let f = -7075 - -7240. Calculate the smallest common multiple of 99 and f.
495
Let l be (-24)/156 - (-24954)/(-39). Calculate the common denominator of (-68)/3*(-8)/l*-2 and -36/5.
30
Let l = 55839928 + -52936236869/948. Let w be -4 + 19/((-13509)/(-2802)). Let n = l - w. Find the common denominator of n and -51/4.
4
Suppose -4*i - 112 = -4*v, -2*i - 43 = -4*v + 61. Let q(l) = -l**3 + l**2 - l + 2. Let s = 596 + -598. What is the lowest common multiple of q(s) and v?
48
Let r(l) = l**2 - 38*l + 190. Let w be r(6). What is the common denominator of -13/64 and (58/24)/((4/18)/w)?
64
Let g(n) = -12*n + 72. Let f be g(5). Let z = 4 + -2. Suppose f*x = z*x + 100. Calculate the least common multiple of x and 44.
220
Suppose -6*t - 54 - 90 = 0. Calculate the common denominator of 59/30 + (-1 - -1) and (-15)/18*135/t.
240
Suppose -4*b + 774 = -582. Let y be 51*1*(30/b)/5. Let c = y - 11243/4068. Find the common denominator of c and -77/32.
288
Let m(o) = -2*o**2 - 8*o + 2. Let k be m(-4). What is the common denominator of (1534/78)/(1/(k/6)) and -34/5?
45
Let a(u) = 38*u - 64. Let b = -248 - -250. Calculate the