. Find the common denominator of x and 63/706.
2824
Let r(a) = 0*a + a**3 + 5*a**3 - 19*a - 5*a**3 - 8 + 6*a**2. Suppose -2*j - z = -38, -3*z = -5*j + z + 82. What is the least common multiple of j and r(-8)?
144
Suppose m - 3*t - 7 = 0, 0*m + 4*m = -3*t - 2. Suppose -4*j + 35 = 3*b - 0, -b - m = -5*j. What is the smallest common multiple of 29 and b?
261
Suppose 5*o + 36 = 3*y, 2*y - 3*o - 23 = -0*y. Suppose -3*k + 61 = y. Calculate the common denominator of -145/48 and 10/(-45) + (-109)/k.
144
Let n(u) = -u**3 - 6*u**2 + u. Let q be n(-7). Suppose -5*o = p - 3*o - 12, q = 3*p + 3*o. What is the least common multiple of 3 and p?
48
Suppose -3*d + 14 = -34. Suppose 2*q - 2*g - 9 = 37, 4*g = q - 38. Calculate the smallest common multiple of d and q.
144
Suppose 0 = -3*g + 11 + 10. Let u(p) = p**3 - 37*p**2 + 105*p - 83. Calculate the smallest common multiple of g and u(34).
133
Let h(t) = -12*t + 61. Suppose -5*j = 2*i + 3, -3*j - 6 = -2*i - 1. What is the lowest common multiple of h(5) and i?
1
Let j = 21140 + -274619/13. Let n = j + -37/52. What is the common denominator of n and 91/6?
12
Let f = -879 + 936. Calculate the least common multiple of 8 and f.
456
What is the common denominator of (-1892)/480 + (-18)/(-48)*1 and 67/33?
330
Let v(o) = 0*o - 3*o - 3*o + 3*o + 6. Let m be v(-3). Let g = 23 - m. What is the smallest common multiple of g and 10?
40
Let h = 11594 - 231809/20. Find the common denominator of h and 29/10.
20
Let o = -40929 - -6917035/169. Calculate the common denominator of 75/26 and o.
338
Let v = -13900 - -194695/14. What is the common denominator of v and -81/154?
154
Suppose j = -j + 18. Suppose 2*o = -4*y + 124, 21*y - 155 = 16*y + 2*o. What is the least common multiple of y and j?
279
Let b(y) = y - 6. Let s be b(11). Suppose -1 = s*g + 34. Let r = g + 25. Calculate the smallest common multiple of r and 14.
126
Let j(f) = f + 9. Let m be 10/(-25) - (-28)/(-5). Let k be j(m). Suppose -k*a + 8 = -a. What is the smallest common multiple of a and 6?
12
Suppose -5*v + 2*k = -175, 65*v + 3*k - 117 = 61*v. Suppose -2*p + 66 = -5*l + 15, 2*p - 48 = 4*l. Calculate the smallest common multiple of v and p.
198
Let r = -3713 - -29619/8. Find the common denominator of -35/118 and r.
472
Calculate the smallest common multiple of 4 and 498/(-1162)*(-322)/6.
92
Calculate the common denominator of (-4)/(-24) - 47*(-3)/90 and 13/15.
15
Suppose 0 = -3*f + 2*f - t + 31, 4*t + 51 = f. What is the least common multiple of 166/7 - (-10)/f and 4?
24
Suppose -2*t = -q, -t + 21 = -4*q - 0*t. Let s(j) = j**2 + 6*j + 1. Let g be s(q). Suppose 2*o + g = 23. What is the smallest common multiple of 11 and o?
11
Calculate the smallest common multiple of 1 - ((-10)/(-3))/(102/(-10251)) and 24.
336
Calculate the common denominator of -149/18 and (1 + 81/(-10))*142/1278.
90
Let o = -58287/476 + 855/7. Calculate the common denominator of 14/41 and o.
2788
Let s = 2700 - 2688. What is the least common multiple of 276 and s?
276
Suppose 4*w = -3*d, -4*w = -d - 43 + 27. Calculate the least common multiple of (-8)/12*15/(-2) and w.
15
Let v(l) = 15 + 16*l**2 + 9*l**2 + 10*l**3 - 16*l - 8*l**2 - 11*l**3. Calculate the smallest common multiple of 3 and v(16).
15
Let f(b) = b**2 - 2*b - 5. What is the smallest common multiple of f(5) and -48*1*(7 + (-154)/21)?
80
Let m(k) = -2*k**2 - 10*k - 1. Suppose 0 = 4*r + 4*g - 64, 2*g + 16 = r - 2*g. Suppose 0*c = -4*c - r. What is the lowest common multiple of m(c) and 1?
7
Suppose -3*o - 4*z + 31 = 0, 3*z + 29 = 5*o + 4*z. Calculate the common denominator of (-90)/(-32)*-2*o/(-3) and (8/(-4))/(40/94).
40
Let l = -10091/2268 + 74/81. Calculate the common denominator of 1*2*-3 + (-277)/28 + 15 and l.
28
Let a(k) = -605*k**2 - 4*k + 5. Let b be a(4). Calculate the common denominator of ((-873)/72)/((-1)/(-2)) and 4/(-14) + b/(-1848).
24
Let u be (-18074)/6288 - (4 - 25/10). Let r = u + -1/1572. Find the common denominator of r and -23/16.
16
Let t be ((-14577)/14578 - -1)*(-160)/10. Let y = t - -867583/174936. What is the common denominator of y and 31/12?
24
Calculate the common denominator of 41/5 and -1 + ((-2762)/(-1800) - 20/45).
100
Let j(s) = 1491*s**3. Let a be j(1). Let x = 20787/14 - a. Let i = 4365 + -17449/4. What is the common denominator of x and i?
28
Suppose -y - 2 = -7. Let m(u) = 3 - y*u**3 + u + 2*u + 4*u**3. Calculate the least common multiple of 10 and m(-2).
10
Let k(s) = s**2 - 5*s + 12. Let b(d) = -4*d - 4. Let j be b(-3). Let p be k(j). Calculate the common denominator of -149/18 and (10/(-56))/(p/294).
72
Let k = -245 - -250. Calculate the least common multiple of k and 4.
20
Let f(h) = -8*h - 3. Let i(k) = -7*k - 3. Let o(m) = -4*f(m) + 5*i(m). Find the common denominator of o(5) and ((-8106)/(-72))/(-7) - (-2)/6.
4
Calculate the lowest common multiple of 55 and ((-25)/(-4))/((-2)/(-8)).
275
Suppose -2*b - 300 = 3*b. Find the common denominator of -2 + 33/15 + (-673)/b and -121/12.
12
Suppose -71*o + 76*o - 330 = 0. Let m = 6 - 3. Find the common denominator of -77/12 and 0 + -2 + m/o.
132
Let g = -3 + 5. Suppose -4*z - 5*b = 17, 5*z = 2*b + 1 + 19. Suppose -11*v + 8*v + 9 = -z*t, 5*t + 9 = 3*v. What is the smallest common multiple of g and v?
6
Suppose -3*q - 9*c + 10*c = -127, c - 5 = 0. What is the least common multiple of 36 and q?
396
Suppose 4*z + 27 = 5*v, 4*v - v = 4*z + 21. Let u be (3912/v)/4 + -2. Calculate the common denominator of (3/(-4))/(6/u) and -109/6.
6
What is the common denominator of 139/18 and (-1160)/2928*-10 + (2 - 6)?
1098
Let o be (-6)/27 - 4/(-18). Suppose o = -4*n - n - 105. Calculate the common denominator of -40/9 and 26/18*n/(-4).
36
Suppose -7*g + 4*g + 18 = 0. Find the common denominator of (-99)/g*(-21)/(-18) and (19/(-20))/(8/(-30)).
16
Suppose 0 = 5*t + 2*i - 9, t + i = 5*i + 15. Suppose -m + t = -5. Let d(x) = -x**2 + 10*x - 7. Calculate the lowest common multiple of d(m) and 3.
9
Let m = 403/7 + -56. Let n(x) = -x**3 + 5*x**2 + 7*x - 8. Let y be n(6). Calculate the common denominator of m and (-1)/y + (-21)/2.
7
Let d = 6470/9541 + -34/203. Let s be 4 - 229*15/376. Let v = s + d. What is the common denominator of 49/4 and v?
8
Let t(c) = -c**3 + 10*c**2 + 4. Let r be (-59)/(-6) - (-5)/30. What is the lowest common multiple of t(r) and 3?
12
Let k = -1657/9 - -9526/9. Let p = -865 + k. Let l = -10/61 + 99/976. Calculate the common denominator of l and p.
48
Let o(g) = -g**3 - 7*g**2 + 9. Let x be (3 + -1)*7/(-2). Calculate the lowest common multiple of o(x) and 16.
144
Let r = -147 + 167. Suppose -14*v + r = -12*v. Calculate the least common multiple of 7 and v.
70
Calculate the common denominator of -41/90 and 4/(-504)*3/(3/158).
630
Let u = -913/420 + 1/140. Let p = -115/34 - -7/2. Let i = -1945/204 + p. Find the common denominator of u and i.
12
Let k(g) = -160*g**2 + 3*g - 3. Let t be k(1). Calculate the common denominator of -83/6 and (-48)/t*(-178)/6.
30
Let g be (-6)/42 + 6116677641/(-21). Let f = -1214597438011/4170 - g. Let u = f + -4/695. Find the common denominator of 47/4 and u.
12
Let q be -2*(110/4 + -4)*2. Let i = 98 + q. Calculate the least common multiple of 12 and i.
12
Let c = 59197/1246 - 6/623. Find the common denominator of 61/10 and c.
10
Let a = -2 + 3. Calculate the least common multiple of a and (-111)/111 - (-8 - 0).
7
Suppose -u = 3*h + 11 - 1, 22 = 3*u - 4*h. Calculate the common denominator of (1365/40)/((-33)/(-12) - u) and 59/8.
8
Suppose -4*o + 12 = -2*o. Let z = -14 + 15. Let c = z - -8. Calculate the lowest common multiple of o and c.
18
Suppose -2*z + 46 = -5*t, -z + 10 = -0*z + 4*t. Calculate the smallest common multiple of 8 and z.
72
Let k be (-16)/10 + 2 - 63/(-5). Let w(z) = -z**2 + 11*z + 29. What is the lowest common multiple of w(k) and 7?
21
Suppose -104*l = -107*l + 312. Calculate the smallest common multiple of l and 12.
312
Let z(s) = -10*s**2 - 53*s + 15. What is the smallest common multiple of 372 and z(-5)?
1860
Suppose 2*w - 2 = -2*i - 2*i, 3*i = 5*w - 18. Suppose -w*p = 15, 3*p - 40 = -5*o - 5. What is the least common multiple of 10 and o?
10
Calculate the smallest common multiple of 30*((-84)/(-5))/7 and 16.
144
Let o = 31921/26180 + -261/374. What is the common denominator of o and -31/140?
140
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