-47/20.
60
Suppose -28*c + 174 = -27*c. Let n = c - 162. What is the smallest common multiple of 24 and n?
24
Let p be 11255/(-1986)*(-11747)/(-37740). Let y = p + 1/12247. Calculate the common denominator of y and -23/45.
360
What is the least common multiple of 2 and 28/182 + ((-18270)/(-65))/6?
94
Let k = -2411/60 - -763/30. What is the common denominator of k and 0 + 5/(240/(-261))?
16
Suppose d + 6 = 5*g, -4*d - 3*g + 1 + 21 = 0. Suppose -12*q + 8*q = 5*h - 1760, 5*h = 10*q + 1690. Calculate the lowest common multiple of h and d.
348
Let x = -15 - -32. Let z = x + -6. What is the lowest common multiple of ((-2835)/3969)/(5/(-77)) and z?
11
Let f(g) = -941*g - 1. Let a be f(2). Let m = -30109/16 - a. Let p = -149/10 + 17/5. Find the common denominator of p and m.
16
Suppose 2*j - 5*j - 2338 = -4*t, -4*t + 5*j = -2342. Calculate the least common multiple of 371 and t.
4081
Let n = -11660 + 12956. What is the least common multiple of 24 and n?
1296
Let g = -45 - -54. Calculate the smallest common multiple of g and 0*(5 + -2)/(-12) - -12.
36
Suppose 8*c - 1408 = -8*c. Calculate the smallest common multiple of 242 and c.
968
Let u = -121629/28 - -4344. What is the common denominator of u and -19/1320?
9240
Suppose -15*x + 9*x = -3*x - 10437. Calculate the smallest common multiple of 49 and x.
3479
Let y = 5822 - 5701. Calculate the least common multiple of 11 and y.
121
Let k(y) = -y**2 + 15*y + 1002. What is the least common multiple of 6284 and k(-25)?
6284
What is the smallest common multiple of 27/(138/115 - (-5)/(-5)) and 35?
945
Suppose 4*u = 5*r + 72 - 3, 3*u = -2*r + 23. Let s(h) = -618*h**2 - 11734*h + 181. Calculate the least common multiple of u and s(-19).
319
What is the common denominator of (34/(-112))/((-4)/(-8)) and (-6)/14 - 1656/(-1134)?
252
What is the common denominator of (-5542)/51*1/320 and -51/10?
480
Let j(l) = l**2 + l - 27. Let q = 59 + -51. Let x(h) = 3*h - 19. Let w be x(q). Calculate the lowest common multiple of 4 and j(w).
12
Calculate the least common multiple of 2/(-7) - (-3853358)/973 and 16.
7920
Suppose 0*t = 3*t - 165. Let i(g) = 14*g - 144. Let v be i(11). Suppose -v*s - 7 + 97 = 0. What is the least common multiple of s and t?
495
Let l = -480671/565500 - 1/141375. Calculate the common denominator of l and (-8)/6*9/(-5).
20
Let l(v) = 111*v + 571. Let j be -14 - (2 + -3 + -1). What is the smallest common multiple of l(-5) and 66/14 - j/42?
80
Suppose 240 = 2*j - 5*t, -4*j - 2*t = -j - 398. Let h = 4226 + -4213. Calculate the least common multiple of j and h.
130
Let l(v) = -v + 2. Let u be (2/(-6))/(13/(-13))*30. Suppose 55 = 5*a + 3*i, -u*a = -11*a - 4*i + 11. What is the least common multiple of a and l(-5)?
77
What is the common denominator of -52/1407 and 5 - ((-24)/70)/((-28)/546)?
7035
Calculate the common denominator of -62/115 and ((-52)/2080)/(3/(-141)).
920
Let g(a) = -2*a**2 - 13*a - 6. Let c be g(-5). Suppose 945 = c*d + 18*d. Calculate the smallest common multiple of d and 55.
385
Let s be 857 - (-1)/((-2)/4). Suppose 4*g - 4*w = -26 + 702, 5*g - 3*w = s. What is the least common multiple of g and 30?
870
Let c be (-1 - (-2 + 1))*8/(-8). Suppose 3*v = 3*k + 15, -v + 3*k - 5*k + 2 = c. What is the least common multiple of 24 and v?
24
Suppose -2*a + 22 = -2*y, 0 = 4*a - 5*y - 106 + 65. Calculate the smallest common multiple of 7 and a.
14
Suppose -6*l - 386 = -7*l + 4*b, 3*b + 777 = 2*l. What is the least common multiple of 8 and l?
1560
Let s = -383591/620 + 3094/5. Calculate the common denominator of 29/372 and s.
372
Suppose 0 = -27*v + 6906 + 6378. What is the lowest common multiple of 4 and v?
492
Suppose -23 + 9 = z. What is the common denominator of 1/5 and 6/z - 3632/(-9716)?
1735
Suppose 2*i - 49 = -3*h, 3*i - 12 = -6. Find the common denominator of 49/24 and (-23)/12 - (6/h)/2.
120
Let o(z) be the third derivative of z**6/120 - z**4/12 + z**3/6 - 22*z**2. Let i be o(0). Suppose 25 - i = 4*h. Calculate the least common multiple of h and 7.
42
Let a(k) = k**2 - 7*k - 2. Let y(g) = g - 64. Let l be y(8). Let h = l - -66. What is the least common multiple of 16 and a(h)?
112
Let p(k) = -1338*k**2 + 2*k - 3. Let o be p(5). Let h = o - -1070077/32. Find the common denominator of 3/88 and h.
352
Let q = 79009153/24 + -3291482. Let s = q - 566. Let j = -3/568 - 6167/15336. Calculate the common denominator of j and s.
216
Let z = 562645/51 + -11032. Calculate the common denominator of z and -13/1386.
23562
Let i(l) = 7*l + 4. Let v be i(36). Suppose 5*u = 724 + v. Calculate the least common multiple of 12 and u.
588
Let c(u) = 3*u**2 + 7*u + 65. Calculate the least common multiple of (-4)/5*2*-5 and c(0).
520
Let y = -88 + -51. Find the common denominator of ((-13)/(-39))/((-2)/y) and -37/26.
78
Suppose 2*x = -2*s + 166, -3*x = 2*s + 92 - 261. Suppose -3*q + 1 + s = 0. What is the lowest common multiple of q and 12?
108
Find the common denominator of 52 - 44 - (-38)/4 and -115/1026.
1026
Let c = -468 - -2371/5. Let k be ((-5)/(-20))/(4/(-2294)). Let t = 141 + k. What is the common denominator of t and c?
40
Let w(m) = -18*m + 1909. What is the least common multiple of w(105) and 157?
2983
Let w = -784 + 1381. Let q be w/5 + (-2)/5. Let i = q - 55. What is the lowest common multiple of i and 12?
192
What is the common denominator of 15580/(-3648) - (-8 - -4) and 73/20?
240
Let r = -505862411/2786 + 181573. What is the common denominator of -77/398 and r?
2786
Let y be 1*(171/(-36) + 2/(-8)). What is the common denominator of ((-2)/(-11))/((-24)/(-576)) and 26/9 + y/((-10)/6)?
99
Suppose 0 + 105 = 3*k. Let w(u) = -u**2 - 21*u + 23. What is the lowest common multiple of w(-22) and k?
35
Let j(o) = -o**2 + 9*o - 4. Let y be j(6). Calculate the common denominator of 4/y - (-26)/(-532) and ((-15)/(-16))/(((-106395)/492)/(-173)).
76
Let o = -55 - -77. Let l(i) = -9*i**3 + 2*i**2 + 17*i - 3. Let j be l(4). Let b = j - -525. What is the least common multiple of o and b?
506
Let l be (-296)/160*12/212. Let m = l - 13/53. Find the common denominator of 1*-2 - (-19)/12 and m.
60
Let h be (-1793)/(-6 - (1 + 3144/(-450))). Let u = 18557471/138 - h. Find the common denominator of u and -1/36.
828
Calculate the least common multiple of 1108 and 15/(-3)*(1728/(-20))/9.
13296
Let n = -22423/8 - -2807. Find the common denominator of n and 8/11.
88
Suppose 12 - 4 = 4*d. Let a(v) = 14*v. Calculate the lowest common multiple of (336/18)/((30 - 24)*2/18) and a(d).
28
Let p = -37866/7 + 148576/35. Let i be 2/(-3)*((-21018)/(-12) - -2). Let b = i - p. Calculate the common denominator of b and -31/14.
70
Let g = -68 + 157. Suppose 5*n = g - 9. Suppose -11*f = -15*f + n. What is the smallest common multiple of 1 and f?
4
Suppose -5*k = -24*x + 25*x - 1794, 0 = -4*k - 4*x + 1416. Calculate the least common multiple of k and 8.
360
Let n = -140745/8 + 17584. Let g = 11791 - 518873/44. Calculate the common denominator of g and n.
88
Suppose 3*l + 2*a = -3*a + 41, 0 = 3*l + 2*a - 29. Suppose l*g = 2*g + 80. Suppose 76 = -12*q + g*q. What is the lowest common multiple of 9 and q?
171
Suppose 0 = -2*b - 0*b - 774. Find the common denominator of -95/8 and 0 + -3 + (-3 - b/24).
8
Suppose 2*y + 28*f = 23*f + 326, 0 = 4*f + 8. Suppose -324*s - y = -331*s. Let u = -9 - -27. Calculate the smallest common multiple of u and s.
72
Suppose 2*f - 4 = 4*g, -3*g - 8 = -4*f + 5*f. Let z be (-81959)/(-36) - f/8. Let o = z - 2285. Calculate the common denominator of o and -95/6.
18
Let l = 20292925/246 - 82491. What is the common denominator of 19/492 and l?
492
Suppose 12*v - 252 = 5*v. Suppose 1447 = v*g + 475. Suppose 25 = 4*q - 7. What is the smallest common multiple of g and q?
216
Let k(y) = -10*y**3 + 5*y**2. Let u(m) = m**3 - 2*m**2. Let l(s) = k(s) + 6*u(s). What is the smallest common multiple of 3 and l(-3)?
45
Let u(f) = -f**2 - 190*f - 5633. What is the lowest common multiple of u(-41) and 102?
1428
Let m = -227/24 + -75/8. Find the common denominator of -35/127 and m.
762
Let t = -965247/35 - -27582. Let u = t + -26/7. What is the common denominator of u and -1 + 21/(-26) + -1?
130
Suppose 5*v - 4*y + 13 = 0, 2 = -v + 2*y + 3. Let b(a) = 10*a**2 + 12*a + 8. Calculate the least common multiple of 90 and b(v).
990
Suppose