))/((-1)/(-3)).
8
Let q be (91/21)/(2/198). Find the common denominator of 31/6 and (-89)/q - (217/77 - 3).
78
Suppose -5*a = -3*h - 16036, h - 5*a = 6*h + 26780. Let r be 4/12*(-32227)/(-2). Let m = h + r. Calculate the common denominator of m and -47/7.
42
Let i(m) = 3*m + 96. Let y be i(-30). What is the common denominator of (y/((-144)/(-262)))/((-3)/6) and -44/3?
6
Let y = 26/575 - 30943/10350. What is the common denominator of y and ((-8)/540)/(12/(-1000)*2)?
162
Let j = 17293 + -1763809/102. Calculate the common denominator of -1/51 and j.
102
Let n(l) = -5*l**2 - 10*l - 3. Let c(m) = -14*m**2 - 29*m - 8. Let q(v) = -4*c(v) + 11*n(v). What is the smallest common multiple of (-4)/10 + 108/45 and q(-7)?
6
Let s be (-2064)/(-40) + 2/5. Suppose 17*y - 15*y = s. Let t = -42 - -60. Calculate the lowest common multiple of y and t.
234
Let o = -600 + 618. Calculate the least common multiple of o and 21.
126
Let i = 11 - 9. Let p be (1*(1 + -1))/((-44)/22). Let n = i + p. Calculate the lowest common multiple of n and 1.
2
Let s = 3/15965 - -14049191/47895. Let y = s - 29707/102. Calculate the common denominator of -37/11 and y.
374
Let j = -1265/933 + -8775941/7464. Let r = j + 1172. Calculate the common denominator of (-141)/90 - 2/6 and r.
40
Let f(a) = -a + 9. Let v be f(3). Suppose 48 - v = 3*m. Calculate the lowest common multiple of 18 and m.
126
Calculate the common denominator of (-679)/(-63) + (1 + -8 - 16/(-8)) and -145/6594.
19782
Let o = -1362/89 + -110626/2937. Let y = o - -854/11. Calculate the common denominator of y and -55/9.
9
Let d be (-4)/10*(-20)/6 - 179887/(-42). Suppose -2945 = v + 1342. Let a = d + v. Find the common denominator of a and -43/74.
518
Let m = 414 - 372. Calculate the least common multiple of m and 20.
420
Suppose -352*w - 1140 = -447*w. Calculate the lowest common multiple of 5110 and w.
30660
What is the common denominator of (-37)/126*((-39)/(-26) + -1) and -31/60?
1260
Calculate the common denominator of ((-1)/6)/((-52)/2119) + -7 and -137/414.
1656
Calculate the smallest common multiple of 4 + 21/(-3) + (9 - -164) and 22.
1870
Suppose 361*o + 40*o - 186994 = 45586. What is the smallest common multiple of 870 and o?
1740
Suppose u + 5 = 3. Let t = 1161 - 2413/2. Find the common denominator of (39/18 + u)*-83 and t.
6
Suppose -63 = -z - x, 4*x = 3*z - 127 - 62. What is the smallest common multiple of z and (15/(-15))/((-18)/756)?
126
Let k(m) = -25*m - 147. Let z = -1026 - -1020. Calculate the lowest common multiple of 50 and k(z).
150
Let n(d) = 4*d. Let r(q) = 1. Let u(z) = -2*z + 4. Let o(j) = 6*r(j) - 2*u(j). Let w be o(1). What is the lowest common multiple of n(w) and 5?
40
Let r = 142 - 166. Suppose 16 = 5*y - 94. What is the smallest common multiple of y and r/(-13) - 36/(-234)?
22
Let t = 16 + -9. Let m(z) be the first derivative of -7*z**2/2 - 21*z - 96. Calculate the lowest common multiple of t and m(-6).
21
Suppose 215*x - 158*x - 162*x = -1890. Let m = -4 - -55. What is the lowest common multiple of m and x?
306
Let h be (3/2 - -3)*4/6. Suppose -2*j - 15 = -5*r + 3*j, h*r - 16 = -4*j. What is the common denominator of 25/11 and (-55)/r + (-4 - -1)?
44
Let h(c) = c**3 - 2*c**2 + c + 2. Let z(x) = -6 - 174*x - 4 + 71*x + 82*x. What is the least common multiple of z(-1) and h(2)?
44
Let a = -1891987/38313 - -2126/43. Find the common denominator of a and 74/297.
891
Find the common denominator of 10/319 and 50/60*(-173)/290 - (-7)/21.
1276
Let q(z) = 2*z**3 - 21*z**2 - z + 41. Let w(i) = 3*i**3 - 41*i**2 - i + 81. Let j(b) = -5*q(b) + 3*w(b). What is the smallest common multiple of j(-18) and 18?
18
Let j = 68864/43569 - 174/103. Find the common denominator of j and -24/47.
423
Suppose -p - 4*u + 20 = 0, -4*p + 2*u = 5*u - 41. Let a be (-36)/p*(-1 - 1). Suppose -a = -6*v + 3. What is the smallest common multiple of 10 and v?
10
Let l = -2734 + 2752. Calculate the least common multiple of l and 164.
1476
Let h be (-14409)/27 - (-1)/(-3). Let i = h + 694. Calculate the smallest common multiple of 40 and i.
160
Suppose -11*z - 38 + 1490 = 0. What is the smallest common multiple of z and 32?
1056
Let v = 1567 + -1675. Let a = 4850 + -87247/18. What is the common denominator of a and (-21)/(-27)*(v/(-42) + -4)?
18
Suppose 0 = 2*c + 5*v - 36, -c + 0*c + 2*v = 0. Suppose 6 = -7*f - c. Calculate the least common multiple of 50 and (9/(-4))/(f/16).
450
Let c = -12283 - -19071. Let s = c + -162995/24. What is the common denominator of -15/14 and s?
168
Suppose 0*g + 3408 = -g. Let c be (14771/(-50))/(5 - g/66). Let o = c + 4/2225. What is the common denominator of o and -121/6?
42
Let n be 125/20 + 15/4 + -4. Suppose -4*k + 36 = j, n*j - 4*j - 51 = -k. What is the least common multiple of j and 8?
24
Let x = -7343383/12998200 - 3/64991. Find the common denominator of -149/150 and x.
600
Let q(f) = -4*f**3 - 3*f**2 + 4*f + 3. Suppose 0 = 3*j - 9, -5*g + 6*g - 9 = -j. Calculate the smallest common multiple of q(-3) and g.
72
Let a(t) = 8*t**2 - 6*t + 55. Let o be a(8). Let p = -513 + o. What is the least common multiple of 111 and p?
222
Let n = -133659 + 60280179/451. What is the common denominator of n and -44/287?
3157
Let o be 15/3*14292/120 - 1. Let h = 590 - o. Calculate the common denominator of 11/41 and h.
82
Suppose 4*y = 5*m + 48 - 18, 5*y = 25. Calculate the smallest common multiple of ((-4)/m)/(48/72) and 9.
9
Suppose -14*w = -22*w + 16. Let d(i) = -i - 3. Let r be d(-3). Suppose w + r = o. What is the smallest common multiple of o and 11?
22
Let n = -15243792853 + 311796539083231/20454. Let r = n - -63/487. Let p = -205/4 + 472/9. Find the common denominator of r and p.
252
Suppose 18 = 3*q + 6. Let d = -357 + 357. Suppose -2*r = 0, k + d*k = q*r + 18. Calculate the least common multiple of k and 8.
72
Suppose 0 = -3*z + 8 - 2. Suppose q = -3*m - 52 - 44, -z*q = 2*m + 192. Let c = q - -99. Calculate the smallest common multiple of c and 18.
18
Let j = -1/14619 - -123451/24365. What is the common denominator of -169/168 and j?
840
Calculate the common denominator of 1/((-57)/(-6)) - (-57072)/(-687078) and -17/2.
5586
Let u = 1/5131 - 374569/30786. Find the common denominator of -83/78 and u.
78
Let i be 18/15 - (-2)/(-3). Let t = i + -5/6. What is the common denominator of t and (-213)/(-18) + (-3 - (5 - 6))?
30
What is the common denominator of (-6708)/(-1584) + -4 + (-6)/(-33) and -103/1116?
1116
Let o be 1*4/(-4) + (-17 - -15). Calculate the common denominator of -28/39 and ((o - (-280)/(-15)) + -1)/(-9).
351
Suppose -28*q = 7*s - 29*q + 291, -q = 5*s + 201. Calculate the common denominator of s and ((-22)/35)/(8/(-5)).
28
Suppose 5*q - 7680 = 3*s, 5*q + s - 9149 = -1469. Calculate the least common multiple of 28 and q.
10752
Let u = -242073/93280 - -4/2915. Let h be 2334/(-20) - (-2)/5. Let r = h + 120. Find the common denominator of u and r.
160
Suppose -490 = -5*z + 5*c, -2*z = -3*z - 5*c + 116. Let n = z + -97. Calculate the smallest common multiple of (-4)/14 - (-96)/42 and n.
4
Calculate the common denominator of 2*1217/5800 - (-438)/(-1095) and -31/5220.
26100
Let u(l) = 22*l - 16 - 82*l**3 - 6 + 81*l**3 - 22*l**2. Let m be u(-23). What is the lowest common multiple of (m + -3)/(-1 - 12/(-16)) and 20?
40
Suppose -4*y = 4 + 56. Let v = 10122 + -10119. What is the lowest common multiple of ((-22)/(-3))/((-10)/y) and v?
33
What is the common denominator of (-1606)/297 - (4 - -4*35/(-20)) and 1/2643?
23787
Suppose -13126 - 16017 = -238*m + 22265. What is the smallest common multiple of 6 and m?
216
Let s = -168 - -170. Suppose x = -2*a + 18, -2*x + 9 = s*a - 11. Calculate the least common multiple of 56 and a.
56
Suppose 2 - 12 = 2*l, 3*l = -4*n + 409. Let p be (-30422)/280 + -17 + 20. Let i = n + p. Find the common denominator of i and 77/48.
240
Let m be (-2 + (-16)/(-3))*168/(-20). Let j = -35 - m. What is the common denominator of 93/2 and j/(-18)*(-42)/28?
12
Let t be ((-165)/35 - -5) + 68/7. Suppose 0 = -t*n + 5 + 85. What is the smallest common multiple of n and 36?
36
Suppose 7*u - 698 - 198 = 0. Let r = 270 - u. Calculate the lowest common multiple of 8 and r.
568
Let a(q) = 31*q**2 - q - 21. Let v be a(6). What is the common denominator of 43/36 and 12/(-10) - v/2430?
108
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