 - 5).
24
Suppose 19709 - 5905 = 68*a. Calculate the least common multiple of a and 469.
13601
Let c = 4 + 16. Suppose -23 - c = -2*m - 3*d, 34 = m + 4*d. Let q = -13 + 27. Calculate the smallest common multiple of q and m.
14
Let r = -80 - -76. Let q(a) = -a**2 - a + 5. Let x be q(r). Let p = 8 - x. Calculate the lowest common multiple of 12 and p.
60
Let s = 346559/21 + -16502. Let r = 161 + -93. Calculate the common denominator of r/42 - 2/(-1) and s.
21
Let f = 513/10 - 51. Let o be (-27)/(8*10/3680). Let h = -29843/24 - o. What is the common denominator of h and f?
120
Let f = -1442/19 - -29845/399. Calculate the common denominator of f and -11/9489.
66423
Let y be -6*(0 + (0 - 3/6)). Let n(o) = -6 - 29*o + 25*o + y + 5. Calculate the lowest common multiple of 102 and n(-4).
306
Let l(y) = 6*y**3 - 14*y**2 + 2*y - 18. Let j be l(6). Let x = j + -726. What is the least common multiple of x and 90?
180
Let j = -69301/12 - -5779. Calculate the common denominator of (3/666)/((-2)/(-128) - 0) and j.
444
Find the common denominator of (-483)/333 + (1 - 0) and ((-4)/7 - (-16320)/23562)*(6 + -4).
1221
Let z be (-103633123)/(-1900) + 6/75. Let o = -54545 + z. Calculate the common denominator of -31/2 and o.
76
Suppose 2 = -6*r - 4. Let z be 1*(0 - -1)*r*-3. What is the least common multiple of 80 and ((-72)/16)/(z/(-4))?
240
Suppose -232*j - 106392 = -284*j. What is the smallest common multiple of 2046 and j?
2046
Let h = -5651 - -62207/11. What is the common denominator of 119/1070 and h?
11770
Suppose 0 = -3*o + 16 + 5. Suppose -o*t = -11*t - 8. Calculate the common denominator of -53/11 and t.
11
Suppose -4*a - 2886 = -3*l + 7164, 3*a - 10092 = -3*l. Calculate the least common multiple of 10 and l.
16790
Let j(u) = -u**3 + 7*u**2 + 29*u + 7. Let k be j(10). What is the lowest common multiple of 93 and 10/k*(126/(-12) - -6)?
465
Let c = -26 + 44. Suppose -3*v = -c - 12. Suppose -4*z + 20 - 8 = 4*x, 2*x - 2*z = 6. What is the least common multiple of x and v?
30
Find the common denominator of ((-8)/144)/(7562/(-5472) - (-8)/18) and 133/2106.
10530
What is the least common multiple of (-114)/(-8)*1 - (-3 + 39/12) and 2902?
20314
Let k = 12184 - 267965/22. Let v be (144/84)/(2/(-1953)). What is the common denominator of k and 4/14 + v/(-252)?
154
Suppose k - c + 2223 = 5*k, 0 = -2*c - 2. Let j be (k/(-6))/((-4)/(-12)). Let r = 1384/5 + j. Find the common denominator of r and 5/11.
55
Let n(x) = x**3 + 12*x**2 + 17*x + 20. Let a be n(-11). Calculate the lowest common multiple of 2 and a/(-3) + 124/(-93).
14
Find the common denominator of -59/1290 and (-61 + 2)*1*1/(23 - 2).
9030
Suppose 0 = 5*p - 10*p + 3*a - 140, 0 = -2*p - 2*a - 56. Calculate the smallest common multiple of (-9)/(27/p)*(0 + 12) and 4.
112
Let d(n) = n**3 - 3*n**2 + 2*n + 5. Let g be d(2). Suppose -g*j + 25 = 0, -5*j + 35 = 2*r - 10*j. Calculate the smallest common multiple of 11 and r.
330
Let p = 777881/33 - 23574. Suppose 0 = 9*h - 264 + 30. Calculate the common denominator of p and (24/h)/(-6) + (-5991)/(-1170).
330
Suppose -2*n = 5*w - 242 + 204, -62 = -5*n + 4*w. Calculate the least common multiple of n and 3286.
23002
Suppose -6 = -g - 2*g. Let c be (1 - 2)*-2*208/(-32). Calculate the smallest common multiple of (0 - 4/(-6))/(c/(-390)) and g.
20
Suppose -12 = 8*u - 11*u. Let g be u - 1*6/(-3). Suppose 0 = 5*z - 19 - g. What is the smallest common multiple of z and 6?
30
Let d(v) = -v**3 - 24*v**2 + 85*v + 276. What is the smallest common multiple of 120 and d(-27)?
840
Let j = -1373 - -1765. What is the least common multiple of j and 980?
1960
Let z = -34/205 + 265/164. Find the common denominator of z and (-8)/14 + 45489/6608.
80
Suppose 3*j + 3*y = -y - 24, -j - 5*y - 19 = 0. What is the lowest common multiple of 3 and (24 + (-7)/((-14)/j))/2?
33
Let j = 3072 - 3042. Suppose 2*x = 5*k - 1, -2*x - 3*k - 2*k = -49. Calculate the smallest common multiple of j and x.
60
Suppose 18 = -g - 3*q, 0 = 546*q - 551*q - 40. Calculate the smallest common multiple of 25 and g.
150
Suppose -53*c + 28 + 446 - 103 = 0. Calculate the smallest common multiple of 272 and c.
1904
Calculate the least common multiple of 765 and (15 - (24 + -17)) + 14.
16830
Calculate the common denominator of -117/580 and (16 + -19)*(-595)/(-986).
580
Let y(p) = p**3 - 68*p**2 - 4*p + 304. Let s(q) = -q + 7. What is the smallest common multiple of s(5) and y(68)?
32
Suppose 0 = 3*m + 4 - 1, 4*t = 5*m + 21. Suppose -5*s - 84 = -t*s. Let v = -66 - s. What is the lowest common multiple of 8 and v?
72
Suppose -25 = -5*b - 4*r, 0*r = 5*b + 2*r - 25. What is the common denominator of 91/16 and 595/(-252) + -3 + b?
144
Let b = -14126 - -52027/4. Let j = b - -1125. Find the common denominator of j and -9/7.
28
Suppose -2*w - 539 = -5*k, -14*w - 3*k = -12*w + 563. Let v = -253 - w. Calculate the least common multiple of v and 66.
264
Let d be (28/10)/(20/250). Find the common denominator of -89/24 and ((-112)/960)/(4/d).
48
Let a = 1/69753 - -1557742/5231475. What is the common denominator of -109/1800 and a?
1800
Suppose -g - 1 + 12 = 2*l, 16 = -3*l + 5*g. Let a(k) = -2*k**2 + 4*k. Let v be a(l). Calculate the smallest common multiple of (3 - 6 - v) + 4 and 10.
70
Let g be (-1)/3 + (-1253)/(-2625). Let d be 8/(-36) + 23433/(-74250). Let y = g - d. What is the common denominator of 17/22 and y?
22
Let d(w) = -w**2 - 44*w + 425. Calculate the smallest common multiple of d(8) and 1072.
9648
Suppose 9*d + 12 = 11*d. Calculate the common denominator of 43/22 and 412/18*(d - 135/20).
66
Let c(r) = -22 + 14 + 14 + 10*r + 69. What is the smallest common multiple of 8 and c(-7)?
40
Let y = 259 + -253. What is the smallest common multiple of y and (7 + -6)*(-2 - -20)?
18
Suppose 29*x - 1680 = -19*x. Calculate the lowest common multiple of (7 - (-4 + 19)) + x and 8.
216
Suppose -5*m - 6 = -26. Suppose -5*k + j = -25, -5*k + 36 + 9 = -5*j. What is the least common multiple of m and k?
4
Let q = 31575 + -31431. What is the lowest common multiple of 3632 and q?
32688
Suppose 4*b - 92 = 3*o - 2*o, -b + 4*o + 8 = 0. Let c(j) = 2*j**2 + 726*j + 7114. Calculate the least common multiple of c(-10) and b.
216
Let h = 4495 + -4157. What is the least common multiple of h and 247?
6422
Let j(n) be the third derivative of n**5/60 - 11*n**4/24 + 6*n**3 + 34*n**2. Let v be j(5). Calculate the lowest common multiple of 92/v + 3/(-9) and 21.
105
Suppose 54*v - 25797 = 61143. What is the least common multiple of 154 and v?
17710
What is the common denominator of (-3)/(-60)*(-4)/3 and 4217/(-180) - (16 - 39)?
180
Suppose -2*a = 4, -5*a - 19 = -4*k + k. Let h be (-2 - k - 0)/((-2)/(-4)). Calculate the common denominator of 41/4 and (-345)/(-12)*4/h.
4
Let a(t) = 24*t + 22. Let k be a(-1). Find the common denominator of k*(-2877)/2244 - 10/(-85) and -27/244.
2684
Suppose 3*n - 45 = -5*o, 17*o - 20*o + 27 = -n. Suppose 3*x = -3*c + 138, 10*x - 4 = o*x. Calculate the least common multiple of c and 30.
210
Let z = 112 - 52. Let h be 626/z + 30/(-180). Let q = h + -221/60. What is the common denominator of 82/15 and q?
60
Suppose -y - 40 = -41. Calculate the smallest common multiple of 54 and (2 - y - 2)*102/(-17).
54
Let b = 74 - 67. Let a(s) = -s**3 + 8*s**2 + 8. Suppose 130 = 4*f - 5*u, -42 = -5*f - 3*u + 102. What is the smallest common multiple of f and a(b)?
570
Suppose -5*t = 3*a - 5*a + 9656, 2*a = -5*t - 9664. What is the common denominator of -1*(-1)/4 - (-1909)/t and -24/35?
210
Let v = -1528 - -994. Calculate the smallest common multiple of 2/6 + 2*v/(-36) and 18.
90
Let q(i) = -i**3 + 58*i**2 - 256*i - 453. Let x be 2/(-8) + 7/28. Suppose x*z - 96 = -3*z. What is the lowest common multiple of q(53) and z?
96
What is the common denominator of (-92)/(-42)*(-30)/(-80)*-5 and -35/468?
3276
Let q = -1991/129 + 33/43. Let x(n) = 75*n**2 - 2327*n + 24. What is the common denominator of q and x(31)?
3
Suppose 257*c - 646 = 256*c. Calculate the least common multiple of c and 171.
5814
Let b = 67 + -82. Let k = -181 - -2671/15. Calculate the common denominator of -2 + 3/b + 54/(-20) and k.
30
Let y be (-2)/2 - 1 - 2*-2. Let u = y - -2. Let n = u - -4. Calculate the least common multiple of n and 2.
8
Calculate the common denominator of 13/1966 and