*l + 258. What is the least common multiple of m and k(30)?
126
Suppose -2*u + 13614 = u. Let w = u + -72639/16. Find the common denominator of w and (42/4410)/(6/(-15)).
336
Let l(o) = -3*o + 2. Let v be l(-4). What is the least common multiple of 8 and 287/v + (-3)/6?
40
Let m = 205933754/55233 - 194/18411. Let a = 3723 - m. What is the common denominator of a and 45/8?
72
Suppose -4*q + 40 = q. Suppose 4*p = 2*y + 8, -2*y + 11*p - 11 = 6*p. Calculate the lowest common multiple of y and q.
8
Find the common denominator of (2/(-132))/(1/(-146)) and (19/(-9))/(-5*(-8)/(-20)).
198
Suppose 25 = -5*o, 4*u = -0*u - o + 59. Suppose -3*q = 4*m - 59, 2*m - 6 = 2*q + 20. Calculate the smallest common multiple of m and u.
112
Suppose 20*u + 220 = 18*u. What is the common denominator of 254/u - (-4)/10 and 19/8?
88
Let t = 6545123/4231232 + 1/66113. What is the common denominator of t and 87/80?
320
Let i(h) be the third derivative of -8/3*h**3 + 0*h - 1/60*h**5 + 11*h**2 + 0 + 19/24*h**4. What is the smallest common multiple of 30 and i(18)?
30
Let o = 104/71 - 3193/1065. Calculate the common denominator of 92/255 and o.
255
Let u = 838/7 - 6893/56. Let x = -4277 + -191. Let l = 26687/6 + x. Find the common denominator of l and u.
24
Suppose 5*b - 4*r + 2*r = -32, 0 = 5*r + 20. Let t be (-170)/b + (-9)/36. Let v = t - 17. Calculate the lowest common multiple of 16 and v.
16
Suppose -2*v = -5*i + 19, 4*i - 14 = -3*v + 3*i. Calculate the least common multiple of v and (22/6)/(1/3).
33
Find the common denominator of (-20)/(-16)*-1*(-56)/(-102) and 83/30.
510
What is the common denominator of 101/40 and 7*(1 - (1 + 21/(-120)))?
40
Let t(k) = 17*k + 2. Calculate the smallest common multiple of -2*(-13 + (-5)/1) and t(2).
36
Let m be 0 + 682677092/72 + -3. Let t = 9487551 - m. Let i = t + -5921. Calculate the common denominator of i and -115/6.
18
Let j = 18199/12 + -1520. Find the common denominator of -35/33 and j.
132
Let z(c) = -8*c - 14. Let v be z(-6). Suppose -w + 4 = v. Let r = 44 + w. Calculate the smallest common multiple of 20 and r.
140
Let u(x) = -50*x - 4. Let f(i) = i**3 + 7*i**2 + 4*i + 50. What is the lowest common multiple of u(-3) and f(-7)?
1606
Suppose -3*c + 8*c = 20. Suppose c*s = 25 - 9. Suppose 0 = -2*q + 3*q - 9. What is the least common multiple of q and s?
36
Let r = -645 + 702. Calculate the lowest common multiple of 17 and r.
969
Let x(w) = 5*w + 26. Let z be x(11). Suppose t - 32 = 4*k, 3*t + 4*k - z = k. Let h = t + -16. Calculate the smallest common multiple of h and 14.
84
Let s(q) = q**2 - 3*q + 5. Let c be s(4). Let v = c + -13. Let x = v - -6. What is the least common multiple of x and 14?
14
Suppose -7*f + 9975 = -2*f. Let p be ((-282)/(-40))/(1/282). Let c = f - p. Find the common denominator of c and 33.
10
Let m(b) = b**3 - 10*b**2 - 21*b + 14. What is the least common multiple of 20 and m(12)?
100
Let n(p) = p**2 + p - 1. Let c(k) = 3*k**2 + 5*k - 12. Let q(a) = c(a) - 2*n(a). What is the least common multiple of q(3) and 11?
88
Find the common denominator of (6/(-40))/(-5*72/29100) and (94/(-44))/((-1)/1).
88
Let l = 6 - 3. Calculate the common denominator of l/(-6) - 136/(-6) and (-3916)/(-801) + 8/9 + -1.
18
Suppose -4*k + k - 3 = 0. Let a = k + 7. Let f = 35 - 17. Calculate the least common multiple of a and f.
18
Calculate the common denominator of -7/19 and (-249)/(-205) + -3 + 44/20.
779
Let r = -106 - -107. Let p = 3 - -7. Calculate the lowest common multiple of p and r.
10
Suppose 0 = 50*y - 42*y - 1320. What is the least common multiple of y and 65?
2145
Let t(i) = i**3 + 4*i**2 + 3*i - 4. Let r be t(-3). Let c = -108445/15684 - 3/1307. Find the common denominator of c and 2/r + 158/(-36).
36
Let m = 10548/5 + -1360742/645. What is the common denominator of 27/5 and m?
645
Let j = 2433 - 14593/6. Calculate the common denominator of 634/132 - (-4)/(-6) and j.
66
Let d(w) = -w - 5. Let y(z) = 6*z + 26. Let x(t) = -16*d(t) - 3*y(t). What is the least common multiple of x(-5) and 12?
12
Let x = 190 + -183. What is the least common multiple of 13 and x?
91
Let h = -28 + 27. Calculate the common denominator of (412/(-40) + 0)/h and (1/4 + -1)/15.
20
Let o = 402 + -262. Calculate the lowest common multiple of 16 and o.
560
Let s be (-6 + 7)*(1 - (-1749)/(-86)). Let n = -7/43 + s. Find the common denominator of -17/7 and n.
14
Calculate the common denominator of -47/90 and 1238/6600 - (-105)/(-1155).
900
Suppose b - 4*f = 40, 0 = -0*b + b - 3*f - 37. What is the smallest common multiple of 24 and b?
168
Let u = 135 + -2703/20. Let c = 2/8179727 + -362975385661/147235086. Let y = 2472 + c. Find the common denominator of u and y.
180
What is the common denominator of (3 - (-94)/(-60)) + 3/6 and -76/87?
435
Suppose -6*g - 2*u = -2*g + 4, 0 = -4*g - 3*u - 6. Suppose 4*p - 1 - 71 = g. Calculate the lowest common multiple of p and 18.
18
Let t = -389 - -1551/4. What is the common denominator of t and 74/(-16) + (-1)/(-1)?
8
Let t = 13978 + -363373/26. Find the common denominator of t and (-4)/(-12) - (298/48 - -1).
104
Let w = -114 + 124. Let c = -11 + 6. What is the lowest common multiple of w/1 + (-1 - c) and 2?
14
Calculate the common denominator of -87/8 and (-10)/110*75/(-22).
968
Suppose -4*t + 4*u = -0*t - 76, 68 = 4*t + 4*u. Let s be ((-36)/16)/((-5)/(-80)). Let k = -18 - s. What is the lowest common multiple of t and k?
18
Suppose 2*x - x = 2. Let g(a) = a**2 - 14*a - 51. Let t be g(22). Let h = t + -107. Calculate the smallest common multiple of x and h.
18
Let w = -385/1312 + -59/205. What is the common denominator of w and -27/160?
160
Let f = 116557/12 + -9725. What is the common denominator of (-948)/40*(-120)/72 and f?
12
Suppose -188 = -2*r - 2*m - 2*m, 3*r - 5*m - 293 = 0. Suppose 5*x - 2*d = 192, -r = -2*x - 3*d - d. What is the smallest common multiple of x and 22?
440
Let f(g) = -10*g - 12. Calculate the least common multiple of f(-3) and 4 + (-1 - (2 - 1)).
18
What is the common denominator of 67/138 and 41/(-328) + (-237)/(-2024)?
1518
Let f = 1335 + -118812/89. Let n = 3091/712 + f. Let g = 2568/5 - 15311/30. Find the common denominator of g and n.
120
Suppose 0 = -23*b + 29*b - 162. What is the lowest common multiple of b and 42?
378
Let o = 186646 + -47223170/253. Let t = 239/23 + o. Calculate the common denominator of 76/3 and t.
33
Let p = -20 + 20. Let f(o) = -12*o + 12. Let d be f(6). Calculate the common denominator of (0 - p) + (-145)/d and -35/2.
12
What is the common denominator of ((-27)/(-18))/(7/(-3)) and -29/8?
56
Let y be 7/12390*(-1058731)/(-74). Let w = y + 2/10915. Let o = 2/1595 - -106853/9570. What is the common denominator of o and w?
12
Let m(k) = 0 + 2 - k**3 - 3*k**2 + 9*k**2. Let j be m(6). What is the least common multiple of 7 and (12*(-1 + 2))/j?
42
Let c = 3649 + -306457/84. What is the common denominator of c and 83/120?
840
Let s(r) = 10*r + 1. Let m(x) = -30*x - 4. Let c(t) = -3*m(t) - 8*s(t). Let p be c(4). Calculate the common denominator of (33/p)/(15/(-22)) and -89/2.
10
Let p(g) = -305015*g - 1. Let h be p(2). Let t = 3671129/6 + h. Let r = -1828 + t. Calculate the common denominator of 43/7 and r.
42
Let n = 8 + -9. Find the common denominator of -1 + n - (-243)/(-12) and (3 - -1) + (-1 - (-118)/16).
8
Let q(l) = l**3 + 9*l**2 - 79*l - 18. Calculate the least common multiple of 64 and q(-14).
1728
Let m = 374308 + -753481988/2013. Let d = -87965/8052 + m. What is the common denominator of d and 101/22?
132
Let u(n) = -3*n**2 - 3*n + 2. Let o be u(-3). Let k = 19 + o. Calculate the common denominator of (k/24)/((-2)/52) and -121/18.
36
Suppose -j - 6 = -2*c, j + c + 10 = 4*c. Suppose 0*d = j*d + 4. Calculate the common denominator of 2 - (d + (-219)/(-15)) and -69/2.
10
What is the common denominator of 5/12*2 + 10058/(-8178) and 15/16?
464
Suppose 2*y + 0 = 10. What is the common denominator of 189/1290 - ((-2)/y - -1) and 67/16?
688
Suppose -2*c = 4*y - 48, -4 - 10 = -3*y + 4*c. What is the lowest common multiple of 38/(4 + 28/(-8)) and y?
380
Let f = 17/489 - -36539/3912. What is the common denominator of -94/195 and f?
1560
Let k = 1/6425116 - -338561849941/32125580. Let o = -10551 + k. Calculate the common denominator of -26/9 and o.
90
Let r = 684 - 6