 - k. Calculate the common denominator of -9 - -2*423/60 and m.
510
Suppose -5*q = -6 - 4. Let x be -1 - (q/(-3) + (-35)/15). Suppose x = b - i, -6*b + 10 = -b - 4*i. Calculate the smallest common multiple of 10 and b.
10
Let a = -180983/12 + 15075. Calculate the common denominator of ((-2)/5)/((-12)/75) and a.
12
Let b be (3/(-8) + 3525/(-40))*-2. Let j = b + -165. Calculate the smallest common multiple of j and 27.
108
Calculate the common denominator of ((-17)/102)/(77/129 - 0) and -53/182.
2002
Suppose 1 - 49 = -16*j. Calculate the smallest common multiple of j + (-4 - -2 - -23) and 54.
216
Suppose -19*b = -8*b - 44. Let s = 49 + b. What is the lowest common multiple of s and 8?
424
Suppose -5*r = 3*q - 33, 16*q + 4*r - 30 = 13*q. Calculate the lowest common multiple of 90 and q.
90
Suppose 32 = 228*i - 220*i. Calculate the common denominator of -3/14 and ((-154)/110)/(i/(-5)).
28
Let g(s) = -s**2 + 15*s - 36. Suppose 15708 = 532*b - 413*b. Calculate the least common multiple of b and g(6).
396
Suppose -m - 2*m + 42 = 0. Suppose -2*k + 42 = -2*o, o = -17*k + 22*k - 109. What is the smallest common multiple of m and k?
154
Let b = 32034768211364905/3683 - 8698009426944. Let g = b + 137950. Let f = g - 128953/58928. What is the common denominator of f and 11/4?
16
Let u = 4516/43 - 2639323/25155. Find the common denominator of 49/1287 and u.
6435
Suppose -36 = 14*h - 8*h. What is the common denominator of 2/h - 1513/612 and 59/36?
36
Let d = -5037280062674/583 + 8640321244. Let k = 46694 - d. Let q = -28807/5830 + k. What is the common denominator of -83/8 and q?
40
Suppose 0 = 877*b - 859*b - 2772. Calculate the smallest common multiple of b and 220.
1540
Let s be 0 + (2/4)/(10/114180). Let k = 51448/9 - s. Let n = 586/65 - 60/13. Find the common denominator of k and n.
45
Suppose -4*r + 636 = 222*n - 221*n, 3135 = 5*n + 5*r. What is the smallest common multiple of 1664 and n?
4992
What is the common denominator of (18 + -20 - (-1 + (-129)/36)) + 1 and (-1)/((-3)/(-6))*20?
12
What is the common denominator of (-2)/(48/3)*-81 and (-214)/(-749) - (-375)/(-14)?
8
What is the common denominator of ((-6)/28)/(80784/(-191114)) and (5/(-16))/((-3)/4)?
144
Suppose -6*d - 743 = 685. Let y = -257 - d. Find the common denominator of 23/5 and y.
5
Let u be (18/(-6))/((-3)/53). Let o = 55 - u. Suppose -o*p - 20 + 150 = 5*a, -2*a + 5*p + 81 = 0. What is the least common multiple of 10 and a?
140
Suppose 0 = -5*u + 2*b - 31 - 8, -2*u - 6 = -4*b. Let m(j) = -5*j + 8. Let g be m(u). Let z = -51 + g. What is the lowest common multiple of z and 14?
14
Calculate the common denominator of (((-51)/34)/((-96)/(-196)))/((-138)/8) and 59/30.
1380
Let t = 4/1581 + -29033/18972. Let z be 7092/468 + (-3)/(78/4). Calculate the common denominator of ((-183)/(-150))/((-51)/z - -3) and t.
180
What is the smallest common multiple of 192 and -3 + (-24)/16 - (-1)/(-2) - -45?
960
Suppose 15 = 3*f, 2*r + 0*f + 3*f - 39 = 0. Suppose -43 = -4*o + s, -4*s = -0*s + r. Let d = 9839 + -9827. What is the least common multiple of d and o?
60
Suppose a = -1, -3*y + 263 - 54 = a. What is the least common multiple of 810 and y?
5670
Calculate the smallest common multiple of 20 and (18 + -16)/(3/174).
580
Let n = 1006 - 934. What is the least common multiple of n and 324?
648
Let d be 2 + (0 - 31) + -2. Let n = d + 33. Suppose 2*j - 4*t + 4 = 0, j + n*t = -3*t + 26. Calculate the smallest common multiple of 30 and j.
30
Let r = 44619691/224492310 + 2/277151. Find the common denominator of 61/110 and r.
8910
Let m be 3*4 - (-3 - 0). What is the common denominator of ((-37)/(-6))/((-20)/m) and 6/45 - (1 - 1135/50)?
24
What is the least common multiple of (-41)/((-5166)/36) - (-25530)/21 and 48?
3648
Suppose 0 = 4*x + 49*c - 45*c - 3580, 0 = -c + 5. What is the smallest common multiple of 3115 and x?
6230
Let t(u) = 2880 + 8*u + 0*u - 7*u. Let r be t(0). Find the common denominator of 4/18 + 6884/r + -3 and -107/14.
560
Suppose 0 = 38*z - 30384 - 19213 + 17867. What is the least common multiple of z and 1503?
7515
Let t(r) = -r**3 + 5*r**2 + r - 11. Let a be t(4). What is the common denominator of 1113/35*1/a and 13/11?
165
Find the common denominator of -29/130 and (0 + (-1)/(15/4))*(-31 - 8).
130
Find the common denominator of 8 + (-31)/((-217)/(-42)) + 1005/(-306) and -39/527.
3162
What is the common denominator of 47/1227 and (-171)/10 - (34 + -41)?
12270
Let s = 11571453 + -185248725/16. Let g = s + 6590. Calculate the common denominator of g and 13/4*11/(-3).
48
Let c(g) = -5*g**2 - 50*g - 51. Let a be c(-9). Calculate the common denominator of (-2 - 188/(-64))*a/(-36) and 79/18.
288
Suppose 11*t - 33*t = 88. What is the lowest common multiple of 602 and t*(-1 - 0)/(2/10)?
6020
What is the smallest common multiple of -5 - (-4689)/24 - 30/80 and 114?
570
Suppose -18*f + 38729 = 38621. Let t(k) = -9*k - 1. Suppose -4*n - n - 15 = 0. What is the least common multiple of f and t(n)?
78
Let h(w) = 2*w + 22. Let a be h(-5). Suppose 9*y - 4*y = -l - 18, 2*l = 2*y + a. Calculate the common denominator of 145/18 and (0 + (-655)/30)/l.
36
Let r(l) be the second derivative of 7/6*l**3 + 1/20*l**5 + l**2 - 7/12*l**4 + 12*l + 0. What is the smallest common multiple of r(6) and 4?
8
Let l = 35803 + -1754355/49. Calculate the common denominator of 30/91 and l.
637
Let p = 3343 + -3333. What is the smallest common multiple of 10937 and p?
109370
Suppose -30*k - 49*k = -18*k - 102480. What is the smallest common multiple of k and 18?
5040
Suppose -4*b = -3*q - 32, -5*q = -0*q. Let c be 6 - (b - 2)/(-6). Find the common denominator of ((-3)/(c - -2))/(12/(-711)) and 21/11.
44
Suppose -2*t = 12 - 2. Let h(l) = -l**2 - 8*l + 32. Let k be h(3). What is the smallest common multiple of (-112)/(-140) - (k - (-51)/t) and 24?
24
What is the least common multiple of (-3)/2*(-320)/3 and 18440/96 + (-6)/72?
960
Let g = -31796/9 + 3540. Let w(s) = -22*s**2 + 3*s - 3. Let r be w(2). What is the common denominator of (219/225 + -1)*r and g?
45
Let r = 248 + -230. Suppose -142*h = -140*h - r. What is the least common multiple of 3 and h?
9
Let a be 56/(-212)*1/136*-5. Let g = a + 117313/259488. Find the common denominator of g and -45/2.
288
What is the least common multiple of 2 - 1034/(-12) - 5*(-18)/(-540) and 154?
616
Find the common denominator of 65/261 and (0 + (-30)/(-459))/(1014/(-676)).
13311
Let k(u) = 67*u + 36. Let b be k(-2). What is the common denominator of (b/(-8))/(-35 + 65) and -121/18?
360
Find the common denominator of -41/117 and ((-4)/(-5))/(-2) + 62025/131625.
351
Let q(z) = z**2 - 19*z + 65. Let t be q(5). Find the common denominator of ((-198)/(-108))/(t/4 - -1) and 71/20.
60
Let q be (11/(-22))/((-1)/(-140)). What is the smallest common multiple of (-5)/(q/21) + (-141)/(-2) and 72?
72
Calculate the common denominator of 88/(-56694)*(-565)/(-40) and -97/18.
15462
Suppose -3793 + 1153 = -40*o. What is the smallest common multiple of o and 54?
594
Let f be (-38)/(-5)*2/(-4)*10. What is the common denominator of (1 - 154/12)*(-57)/f and 137/144?
144
Let t(r) = -71*r + 195. What is the lowest common multiple of t(-15) and 90?
1260
Let d(i) = -22*i**2 + 353*i + 17. What is the lowest common multiple of 2574 and d(16)?
2574
What is the least common multiple of 28*((-1482)/(-133))/((-8)/(-7)) and 234?
1638
Let f(k) = 6*k**2 + 178*k + 543. Calculate the smallest common multiple of f(-3) and 5264.
47376
Let o be (1 - (-16)/(-6))*6. Calculate the common denominator of (15/(-70)*2)/(o/(-7)) and -51/20.
20
Let q = -47577391/670 - -71011. Find the common denominator of -97/134 and q.
670
Suppose 2*k + 0*b = -b + 16, -k + 3*b - 6 = 0. Let r = k + 24. Calculate the common denominator of 8/3 and r/(-27)*3*(-87)/12.
6
Let x be ((-347)/30)/((-4)/84). Let n = -254 + x. Find the common denominator of 70/(-224)*((-276)/9)/1 and n.
60
Suppose 156*g - 651 - 1845 = 0. Calculate the lowest common multiple of 4438 and g.
35504
Suppose 2*j + 2*q = -2, 2*q - 6 = -5*j + 7*j. Find the common denominator of (-39)/(441/(-28) + 18) and j/(3 + (-201)/61).
9
Suppose 16 = 2*t + 2*t. Suppose 187*v - 186*v - 1 = -2*a, -a = 2*v + 10. What is the least common multiple of a and t?
4
Let v = 61297/13248 + -211/46. Calculate the 