What is the least common multiple of y/3 + (-212)/(-12) and 18?
18
Let k = 233109/27832 + -2/3479. Find the common denominator of k and -21/355.
2840
Suppose -3*t - 3*n + 42 = 0, -5*n - 57 = -5*t + 53. Suppose -5*z = -2*z - t. Calculate the lowest common multiple of z and 48.
48
Let g(c) = -2*c - 5. Let r(k) = -k - 3. Let v(b) = -3*g(b) + 5*r(b). Let p be v(-1). Calculate the lowest common multiple of 6 and (-11 + p)*1/(-2).
6
Suppose -2*g + 5 + 5 = 0. Let q(k) = -k**2 + 7*k - 5. Let u be q(g). Suppose i = -4*j - 7, u = -2*i - 4*j - 1. Calculate the lowest common multiple of i and 2.
2
Suppose 4*r - u - 9 = 0, 3*u + 4 - 13 = 0. Suppose a - 56 = -r*a. What is the least common multiple of 20 and a?
140
Let x be 3610/(-4830) - 2/(-3). Let q = x + -11005/1288. Calculate the common denominator of q and 1 - 0 - (-273)/6.
8
Let q be 13/1 + (-6 - -2). Suppose -5*o + q + 121 = 0. Calculate the smallest common multiple of o and 20.
260
Let d = -45/4 + 163/28. Calculate the common denominator of d and (-6 - (-135)/18) + 100/6.
42
Suppose 2*t + 36 = 34. Let j(m) = -14*m. What is the least common multiple of j(t) and 40?
280
What is the common denominator of -86/45 and (-17992)/(-1170)*6/64?
360
Let h be (2*(-16 + 0))/(-2). Find the common denominator of -103/76 and (-37*(-2)/h - 0)/(-1).
152
What is the smallest common multiple of 3/21 + 830/70 and 2?
12
Calculate the common denominator of -1/7 and 4505/1560 + (-1)/(-26)*4.
168
Let g = -62 - -36. Let l = g + 28. Calculate the least common multiple of 3 and l.
6
Let v = -2/479 - -2409/3353. Find the common denominator of v and (-82)/(-56) - (-4)/16.
7
Find the common denominator of (-2)/(-275)*(-17 + -17) and -61/5.
275
Let u be (190/(-20))/(1/(-8)). Let p = 26 + u. What is the common denominator of 1309/p + (-4)/(-6) and 99/10?
10
Let z = 318/13 + -21739/936. Find the common denominator of -157/198 and z.
792
What is the smallest common multiple of 57 and ((-2 - 5)/7)/((-1)/133)?
399
Let t(f) = 2*f**2 - 26*f + 2. Suppose -6*y + 2*y = -52. Calculate the lowest common multiple of (-12)/(-1) - (0 + 2) and t(y).
10
Suppose 2*i = i + 14. Let f = 22 + -20. Suppose -3 = -f*u + 9. Calculate the least common multiple of i and u.
42
Let i = 1497960/29 - 15031991/348. Let w = i - 8464. What is the common denominator of 19/8 and w?
24
Suppose -5*v - 3*x = 135, -45 = 2*v - 4*x + 7*x. Find the common denominator of (-69)/((-1)/(2/(-32))) and (-13)/v + 9/(-27).
80
Let l be (-3714974)/493170*12/(-32). Let j = 3/16439 + l. Calculate the common denominator of -73/24 and j.
120
Let f(i) = -6*i - 64. Let d be f(-23). Suppose -z = -d + 10. Calculate the smallest common multiple of 18 and z.
576
Let v = 8177 - 18076. Let j = v + 98877/10. Find the common denominator of (-35)/24*(-20)/14 and j.
60
Let c = -23 + -89. Calculate the common denominator of 4 + (c/(-36) - 3) and (-4)/10 - 492/45.
9
Let n(z) = -8*z**2 + 249*z - 22. What is the lowest common multiple of n(31) and 150?
450
Let d = -100959703781825/12591 + 8018402328. Let h = 3/1399 + d. Calculate the common denominator of (-1)/2*1*-29 and h.
18
Let h be 1/3*12/1. Suppose 0 = h*v - v - 15. Suppose 100 + 132 = v*i + 2*f, 2*f = -4*i + 184. Calculate the least common multiple of i and 10.
240
Let d = -841 - -6717/8. Find the common denominator of d and 25/6.
24
Suppose -65 = 3*r - 3*y + 2*y, 0 = -5*r - 5*y - 95. Let t = r + 26. Suppose 2*v = t*v - 3. What is the least common multiple of 11 and v?
11
What is the common denominator of (-43)/(-9) + (-9)/6*-2 and -29/66?
198
Suppose 2*k + 4*p = -3*k + 23, -5*k = 2*p - 19. Suppose 4*w + g = -0*g + 56, -w - 5*g + 33 = 0. What is the lowest common multiple of w and k?
39
Let s be (-48)/26 + 2 - 901413/(-468). Let y = s + -3899/2. Calculate the common denominator of 46/5 and y.
20
Suppose 0 = -4*d - 3 + 75. Suppose 2*j - 4 = 0, -3*a - j = -1 - 13. Calculate the smallest common multiple of a and d.
36
Let d = -6001/6 + 1016. Find the common denominator of d and 37/18.
18
Let o(c) = -c**3 + 6*c**2 + 13*c - 17. Let n be o(8). Calculate the common denominator of (4 + -4 - -65)/(1 - n) and 151/18.
126
Let v(l) = l**2 - 6*l - 19. What is the lowest common multiple of v(-4) and 381?
2667
Calculate the common denominator of -69/55 and (-285)/594 - (7 - (-282)/(-36)).
495
Suppose 0 = w + 4*b + 11, 4*w + b = 2*b + 7. Let r(n) = -n**3 - 2*n**2 + 3*n - 4. Calculate the smallest common multiple of ((-16)/12 - w)*-6 and r(-4).
112
Let c(q) = 2*q + 12. Let d be c(-6). Let x be (1 - -1540)/(2 - d). Let m = x + -792. Calculate the common denominator of 101/14 and m.
14
Let v = -5827/5 + 139811/120. Calculate the common denominator of v and -69/110.
1320
Suppose -2*n + 4*k = -9458, -3*k + 2*k = 4*n - 18934. Let m = n + -104053/22. Let c = -3748/15 + 1543/6. Find the common denominator of m and c.
110
Let o = -151941/209 - -727. Let r = 3601/5016 - o. Find the common denominator of 69/20 and r.
120
Suppose 5*c - 1548 = 17*c. Let p = 172 + c. Calculate the smallest common multiple of p and 11.
473
Let m be -3 - 1/(1/(-9)). Let n(k) = k. Let t be n(m). What is the common denominator of (8/t)/(5/(-21)) and -1/9?
45
Calculate the common denominator of -45/154 and 68/(-238) + -1 + 701/616.
616
Let m(d) = 25*d + 382. Suppose -4*u = 2*z - 5*z - 5, 5*u = -3*z + 13. What is the lowest common multiple of m(-15) and z?
7
Suppose -5*b = 711 + 239. Let k = 3463/180 + -437/20. What is the common denominator of k and (b/(-72))/((-1)/2)?
18
Let l(v) = -v**3 + 5*v**2 + 2*v + 20. Let q be l(9). Let j = -6026/21 - q. What is the common denominator of j and 68/33?
231
Let q = 1155 + -663. Suppose -4*b = 8 - q. Find the common denominator of 566/88 + (-22)/b and 25/22.
44
Let h = -2 + 9. Let l = h + -1. What is the least common multiple of l and 10 - (9 - 1) - -18?
60
Let b = 454 + 197. Calculate the smallest common multiple of 3 and b.
651
Let n = 38207/1736 + -664/31. What is the common denominator of -25/28 and n?
56
Suppose 7*n - 20322 = -51647. What is the common denominator of 1/6 + n/1050 and 20/33?
231
Let k = 718 - 5671/8. Find the common denominator of k and 565/(-100)*(-4)/2.
40
Let n = 93/37 - -532/333. Find the common denominator of n and (-2)/(-7) - (-44)/42.
9
Let g = 19013/6 + -3161. What is the common denominator of 33/(-6) - (0 - -3) and g?
6
What is the lowest common multiple of (-81)/12*380/(-57) and 3?
45
Let g be (-80)/6 - 8/12. Let n be 8/3*(-1 + g). Calculate the common denominator of 29/11 and (-479)/n + 28/70.
88
Suppose -4*l + 9*l + 50 = 0. Find the common denominator of (-2)/6*102/20 and l/(-8)*166/(-10).
20
Let k = 54009/80 + -3369/5. Let y = -69515/22704 + -1/1419. Calculate the common denominator of y and k.
16
Suppose 2*t = 15 + 5. Suppose 2*l - 31 = -3*x, 15*x = -4*l + 2*x + 97. What is the least common multiple of l and t?
40
What is the common denominator of 50/27 and 20/6*16*2/(-10)?
27
Let y(h) = 7*h**3 - 6*h**2 + 4*h + 1. Calculate the lowest common multiple of 510 and y(1).
510
Let g be (8/12)/(2/61311). Let v = g - 551728/27. Find the common denominator of v and 59/12.
108
Let a = 18 - -7. Suppose v + 5*l = -2, 9 = -v + 3*v - 3*l. Calculate the lowest common multiple of a and v.
75
Suppose -l + 176 + 422 = 0. Let v = 1762/3 - l. Let o = 678/5 - 2917/20. Calculate the common denominator of o and v.
12
What is the lowest common multiple of 12 and 36/(-10)*(-150)/45?
12
Let v = -3 + 8. Let s = 1 + 1. Suppose -5*b - 3 - 2 = -5*p, s*p + 1 = v*b. What is the lowest common multiple of b and 6?
6
Let v = -729533/24 + 30392. What is the common denominator of v and -15/16?
48
Suppose -3*z - 11 = -17. Suppose z*m = -4*n - 72, -2*n - 4*m - 11 - 25 = 0. Let a = 38 + n. Calculate the lowest common multiple of 4 and a.
20
Let u = -10/221 - 8599/442. Let c = 3737501/145 - 25776. Let h = c + -8277/1015. What is the common denominator of h and u?
14
Suppose 9*j = -0*j - 2*j. Let f(k) = -k**3 + k**2 + 14. Let a(y) = y**3 - y**2 - y + 1. Calculate the smallest common multiple of f(j) and a(3).
112
Let g = 831 - -465. Calculate the smallest common multiple of 33 and (1/(-2))/((-18)/g).
396
Let a(o) = o**2 + 18*o - 67. Let v be a(-21). Let p(q) = q**3 + 3*q**2 - 6*q + 3. Suppose 0*h = 3*h - 6. Calculate the lowest common multiple of p(v) and h.
22
