832071/108. Calculate the common denominator of 49/30 and v.
540
Let p(f) = 7*f + 39. Suppose -6*m - 4*g - 18 = -3*m, 0 = m + 5*g + 17. Calculate the smallest common multiple of 80 and p(m).
400
Let c(m) = -m**3 - 7*m**2 + 5*m - 113. Calculate the lowest common multiple of 1688 and c(-9).
1688
Suppose -5*o + 0*o = -310. Let x = o - 137. What is the common denominator of -29/18 and 465/x*10/36?
18
Calculate the common denominator of ((-32)/(-160))/(408/2310) and -27.
68
Let r be 1/(-4)*0/(8/(-4)). Suppose -4 = -3*k - 2*i + 16, r = 4*k + 4*i - 32. What is the smallest common multiple of k and 21?
84
Suppose -2*x = 5*f - 349 + 74, 2*f = -2. Calculate the lowest common multiple of 380 and x.
2660
Suppose -q = -2*t - 470, -t + 373 = -4*q + 2309. Calculate the lowest common multiple of 24 and q.
1944
Let q = -2/3199 + -233521/9597. Calculate the common denominator of 14/2455 and q.
7365
Suppose 4*a = -t + 2627 + 1602, 4*t + 1036 = a. What is the least common multiple of 18 and a?
3168
Let h = -3613/2 - -1767. Let s = -26459/3992 + 3/998. Let t = s + -255/8. Calculate the common denominator of h and t.
2
Let u(i) = 5*i**2 - 3*i - 2. Let k be u(-1). Suppose k = n + 2. Suppose 8 = -3*o + n*o. Calculate the smallest common multiple of o and 18.
72
Let v = -2097326/515 + 20363/5. Find the common denominator of v and 62/25.
2575
Let m(b) = -b**2 + 5*b - 2. Let p(l) = 2*l**2 + 1065*l + 0*l**2 - 18 - 4 - 1036*l - 3*l**2. Calculate the lowest common multiple of m(2) and p(28).
12
Suppose -12 = -3*c, 0 = 5*h - 4*c + 25 + 26. Let j = 26 - h. Calculate the least common multiple of j and 3.
33
Let h = 29 + -34. What is the lowest common multiple of (h + 295/35)/(2/14) and 32?
96
Suppose -14*l - 200 = -34*l. Suppose -l*p - 332 = -4122. What is the smallest common multiple of p and 4?
1516
Let k = -434505254857/18 + 270719795273909/11214. Let t = 2052924 - k. Let o = t + 2/89. Calculate the common denominator of o and 45/11.
77
Suppose b + 196*v - 194*v = 24, -87 = -3*b - v. What is the smallest common multiple of 1950 and b?
1950
Let a = -155 + 162. Calculate the common denominator of (3/9)/(a/(2121/(-10))) and 55/164.
820
Let s = 6317 + -6293. Let z(p) = 32*p**3 + p**2 - 1. Calculate the least common multiple of s and z(1).
96
What is the common denominator of (-1 - 6369/(-6471))/(12/9) and 23/22?
15818
Let j(u) be the second derivative of 5*u**3/6 - 35*u**2/2 + u - 51. Let p = 0 + 2. What is the smallest common multiple of p and j(11)?
20
Let l = 1836 + -20195/11. Calculate the common denominator of -6/349 and l.
3839
Suppose -5*w + 491 - 141 = 0. Let n(v) = -v**3 + 79*v**2 - 77*v - 139. Let j be n(78). Let l = w + j. Calculate the lowest common multiple of l and 33.
99
Let l = 258 + -218. What is the least common multiple of 80 and (-4 - (l/(-12))/1)*-96?
320
Let d be 76810/(-8700) - 4/10. Let o = d + 9/145. Find the common denominator of 205/18*9/30 and o.
12
Let t be (5/(-3))/(-5*(-6)/(-90)). Calculate the least common multiple of (t/2 + -2)/((-3)/(-126)) and 18.
126
Suppose -2*u - n = 50, u - 3 = 4*n - 10. Let l = u - -43. Let h = -482006 + 482028. What is the smallest common multiple of l and h?
220
Suppose 672 = 32*j - 25*j. Let n(v) = -v**3 + 7*v**2 - 5*v - 10. What is the least common multiple of j and n(5)?
480
Let n be (2/(-3))/((-6)/(-9)) + -5. What is the common denominator of (-1)/7 + 13180/8960 and n/(-16)*31*(-1)/3?
64
Let j = -5 - 155. Calculate the common denominator of 96 - 102 - 878/j and 51/8.
80
Let x(n) = -4*n + 4. Let q be x(13). Let s = q + 69. Suppose 11*l - 8*l - s = 0. What is the common denominator of l and 69/8?
8
Let t = 5806 - 4266. What is the smallest common multiple of t and 224?
12320
Suppose -3*d = 106 - 541. Let x = -358 + 2197/6. Find the common denominator of d/(-8)*(-2)/20 and x.
48
Calculate the common denominator of 59/469 and 762*38/4104*(-3)/(-67).
2814
Let l(o) = -4*o**3 + 2*o**2 + 8*o + 15. Let u be l(-6). Find the common denominator of (3/9)/((-707)/u) and -31/3.
303
Let w = 2031 - 9960. Let a = w - -63517/8. Calculate the common denominator of -101/126 and a.
504
Let l = -35614 + 7728188/217. Calculate the common denominator of -39/56 and l.
1736
Let p = -14183 - -468115/33. Find the common denominator of -97/222 and p.
2442
Let q = -289153/23544 + 332/27. What is the common denominator of 57/5 and q?
4360
Suppose 0 = -c + 3 + 9. Find the common denominator of -85/18 and (4/(-28))/(c/2086).
18
Let p = -6 + 81. Suppose 5*k - p - 145 = 0. What is the least common multiple of k and 72?
792
Calculate the lowest common multiple of 2445 and ((-30)/4 - (-58 + 56))*12/(-22).
2445
Let i be (3/2)/((-12)/167824). Let u = i + 587305/28. Calculate the common denominator of u and 55/6.
84
Find the common denominator of (-98)/22 + (-17 - -4 - (-14 + -1)) and (-2*1)/(432/(-298)).
1188
Let n be (-4)/10 - 424/(-10). What is the common denominator of ((-65)/3 + (-7)/n)/(-8) and 49/72?
144
Let u = -45 - -50. Suppose 2*z = 6*z - 4*b + 588, 2*b = u*z + 726. Calculate the common denominator of (-78)/z*10 - (1 + 0) and -23/10.
60
Suppose 0*b + 848 = b. Suppose -2*g - 3*g + m + 1066 = 0, 2*m = 4*g - b. What is the common denominator of -53/2 and (-1)/(-5) - (g/40 - 5)?
20
Let u(k) = k**3 + 6*k**2 + 10*k + 27. Let n be u(-5). Suppose -3*q - n*q + 40 = 0. Calculate the smallest common multiple of 8 and q.
8
Let k(j) = -j**2 + 7*j - 2. Let t(s) = 82 - 27 - 28 - 26. Let o(y) = k(y) + t(y). What is the smallest common multiple of 52 and o(5)?
468
Let i = -2 - -38. Suppose -9*w = -13*w - z + 137, 4*w = -3*z + 123. Calculate the least common multiple of i and w.
36
Suppose 2*o = -107 + 103. Calculate the common denominator of -51/28 and (50 - 2)/(-3)*o/84.
84
Suppose 3*d - 3*b = 18907 - 3760, b - 10095 = -2*d. Let j = d + -40439/8. Find the common denominator of j and (2/22)/(49/(-2401)) + 9.
88
Let m be (2/12*6)/((-14)/17509). Let j = m + 1252. Find the common denominator of 23/18 and j.
126
Let n = 4493 - 15524. Let g be (n/(-150))/((-4)/5). Let z = g - -641/8. Find the common denominator of z and -57/2.
10
Suppose -66*p = -61*p + 4*z + 5, -2*p + 5*z = -31. What is the lowest common multiple of p and 434?
1302
Let c(u) = 7*u**2 + 5*u + 378. What is the lowest common multiple of c(-11) and 45?
1170
Let c = -50 - -87. Let v = c + -39. Calculate the common denominator of 23/22 and -4204*3/(-4896) - v/(-17).
264
Let s = 84 + -82. Let a be (s/(-4))/(20/(-440)). Suppose a = -l + 19. Calculate the least common multiple of l and 6.
24
Suppose 16 + 44 = 10*z. Let w be (-5 - -3)*(-15)/(-10). What is the lowest common multiple of z and (w + 8 + 1)/1?
6
Let l = -20655/2 + 9278. Let y = l + 1075. Find the common denominator of y and -53/5.
10
What is the common denominator of 47/45 and 4228/302 - 14345/1032?
15480
Let q = 21/2 - 99/13. Let m = -349 - -717/2. What is the common denominator of m and q?
26
Find the common denominator of (-22)/(-120)*(-20)/((-10880)/(-561)) and -23/640.
640
Let q be (30 - 80) + -1 + 1. Let j = 64 + q. What is the least common multiple of 92 and j?
644
What is the least common multiple of 14 and 48*(-8 + ((-1488)/(-18))/8)?
112
Let v be (2 - (-201)/9) + (-2)/(-3). Suppose 20 = -v*s + 30*s. Suppose -9 = s*b - 57. What is the smallest common multiple of 4 and b?
12
Calculate the common denominator of (40 + -46)/((-53)/(-17) + -5) and 157/21318.
170544
Calculate the common denominator of ((-459)/3060)/(((-48)/(-610))/(-2)) and -61/2596.
10384
Calculate the common denominator of 34/45 and (-2708)/(-12084) - (30/(-114))/5.
2385
Let i = 48 - 34. Suppose -72*q + 84*q + 54*q = 1452. Calculate the smallest common multiple of i and q.
154
Suppose -3*p + 24 = 3*z, -30*p - 31 = -3*z - 26*p. Suppose 4*a = 5*a - 24. What is the smallest common multiple of z and a?
72
Suppose 4*b = -5*l + 72, -5*l - 18 = -b - 75. Calculate the least common multiple of 1116 and l.
1116
Let s = 22 + 327. Suppose 0 = u - 350 + s. Let p = 337 - 1028/3. Calculate the common denominator of p and u.
3
Let t = 632204707/302148 - 2049154/10791. Let j = t - 20920/11. Find the common denominator of j and 51/56.
168
Let c = 28490 + -28457. What is the smallest common multiple of c and 23?
759
Let t(g) = -8*g - 54. Let d be t(2). Suppose -4*o - 4*c = 100, o + c = -2*