Calculate the common denominator of (-72)/x*21/(-4) and -13.
2
Let d(w) = -55*w**2 - 3*w + 4. Let v be d(-2). Let y = v - -218. Calculate the least common multiple of y and 6.
24
Let g(x) be the first derivative of x**4/4 - 5*x**3/3 - 5*x**2/2 - 4*x + 2. Suppose 28 + 50 = 13*t. Calculate the lowest common multiple of g(t) and 5.
10
Let p(t) = t**3 + 14*t**2 - 74*t + 202. Calculate the lowest common multiple of 952 and p(-18).
952
Suppose -49*k = 3*k - 15*k - 740. Let p = 1 - -5. What is the lowest common multiple of k and p?
60
Suppose 536 = s + r, 56*r - 1608 = -3*s + 58*r. What is the smallest common multiple of 8 and s?
536
Suppose d = -3*l + 7, -3*d - 9 - 6 = -3*l. What is the least common multiple of 27 and 4*d/(8/(-9))?
27
Suppose 21*g + 2313 = 150. Let o = g + 107. What is the smallest common multiple of 30 and o?
60
Let h = -26260/187 + 1545/11. Calculate the common denominator of h and -16/9.
1683
Let n be 174 + 2 - -4*(-2)/(-2). Let l = 90 - n. Let o = -81 - l. What is the smallest common multiple of 24 and o?
72
Find the common denominator of (111/(-999))/((-2)/15) and -47/288.
288
What is the smallest common multiple of 630 and 1/(-4*6/168) + 502?
6930
Suppose -5*d = -4*a - 14 + 4, 0 = -2*d - a + 4. Suppose -4 = -x + l, -3*x - d*l + 5 = 2*l. What is the smallest common multiple of x and 117?
117
Let p = 30 + -30. Suppose -5*r - 4*j + 29 = p, -3*r = -17*j + 12*j - 47. What is the common denominator of -8/11 and (43/(-8))/(-1) + (r - 8)?
88
Find the common denominator of 61/168 and (-234)/(-4)*88/(-16368).
5208
Suppose -2*x - 3*u - 18 = 0, 4*x + 3*u + 24 = -12. Let v(q) = 4*q + 39. What is the common denominator of (-6)/33 - 1103/44 and v(x)?
4
Suppose -4*j - 85 = 3*r, -35 = 2*j - r - 0*r. Let n = 69 - j. What is the smallest common multiple of n and 99?
792
Let z = -20 - -16. Let i be 1/(z/3165) + 1. Let d = 799 + i. Find the common denominator of d and 37/50.
100
Suppose 0 = -44*q + 59*q - 15. Suppose -2*o + 28 = -0*o. Calculate the smallest common multiple of (1264/(-474))/(2*q/(-9)) and o.
84
Find the common denominator of -61/44 and (7893/96)/(-17 - -77) - 18/12.
7040
Let o = 280 + -268. What is the smallest common multiple of ((-20)/(-5))/((-14)/(-1533)) and o?
876
Let j(d) = 8*d**2 + 1 - 5*d**2 - 4*d**2 + 12*d - 6*d. Suppose 14*h = 15*h - 41. What is the smallest common multiple of h and j(6)?
41
Let a = -3 - -5. Let w = 2959 - 2817. What is the least common multiple of a and w?
142
Suppose 5*k - 20 = -2*z, -15*k + 16*k = -4. What is the smallest common multiple of z and 450?
900
Let v be (4 + -5)*1*-53. Let s = -32 + v. Suppose -2*k = -15 - s. Calculate the lowest common multiple of k and 22.
198
Let b = 49996597/792 + -63127. Calculate the common denominator of -39/16 and b.
1584
Suppose 3*s = 3*h - 2*s - 323, 0 = -4*h - 3*s + 479. What is the lowest common multiple of 29/h - (-175)/4 and 121?
484
Find the common denominator of -2*(-12)/(-12512)*(-183)/9 and -95/138.
4692
Let v = -4 + 6. Suppose q = -3*u + 868 + 874, -3*u - 2*q + 1744 = 0. What is the common denominator of (v/20)/(3 + (-1708)/u) and -37/10?
80
Let m(u) = 700*u - 932. Calculate the lowest common multiple of 72 and m(2).
936
Let i = 1921 + -1786. What is the lowest common multiple of i and 126?
1890
Let l be (-8 + 8)*(-1 - 0). Suppose 7*d - 5*d - 36 = l. What is the common denominator of -83/15 and (-4)/d + (-952)/(-144)?
90
Let c = 93 + -87. Let r be c*5/(-20)*-2. Find the common denominator of r/90*2*711/6 and -46.
10
Let a be 3/1 - (-5 + 166/(-16)). Let c = a - 19. Find the common denominator of -63/16 and c.
16
Suppose 2*k - 206 = -1202. Let n = 642 + k. What is the lowest common multiple of 64 and n?
576
Suppose 0 = -z - 0*z - 2*q + 60, -5*q - 270 = -5*z. Let v = z + -38. Calculate the smallest common multiple of 222 and v.
666
What is the common denominator of 10/11 and (21/9436*14/(-9))/((-1)/20)?
11121
Let f = 13128/931 - 730/133. Let m = 14517/1862 - f. Let w = 1089/10 - 8617/80. Calculate the common denominator of w and m.
304
Let a = -369 - -641. Let u = -262 + a. Calculate the smallest common multiple of u and 3.
30
Let c = -29 + 29. Suppose y + y = c. Suppose -l - 6 = -2*l + n, -3*l + 2*n + 19 = y. What is the lowest common multiple of l and 2?
14
Let v = -50726 - -7304629/144. Calculate the common denominator of v and 23/272.
2448
Suppose -2*n + 4*l = 415552, 2*l - l + 831140 = -4*n. Let m = -39477737/190 - n. Let h = m + 6/95. Calculate the common denominator of h and 25/51.
102
Let x = 16179496/59 + -1077706079/3776. Let w = -11181 - x. Calculate the common denominator of -49/8 and w.
64
Let d = 19 - 17. Suppose d*m + m = 0. What is the least common multiple of 20/(-3)*(m - 3) and 10?
20
Suppose 274 = j + 5*p, 899 = 3*j - p + 45. Calculate the smallest common multiple of j and 92/5 + (-15)/((-600)/(-16)).
2556
Let i = -694 + 150600/217. Let l = i - -23/868. Let s = l + -353/84. Calculate the common denominator of s and -115/12.
12
Let b = -107932 + 46302848/429. Calculate the common denominator of b and -179/390.
4290
What is the common denominator of 107/18 and (24/(-12))/(896/600)?
504
Let m be (-7)/6 - 7/(-42). What is the common denominator of -41/81 and m/(-2) - 2900/720?
324
Let z = 773101/22878 + -1386/41. Calculate the common denominator of z and -79/372.
1116
Let l(c) = c**2 - 37*c + 64. Let s be l(35). What is the common denominator of (332/s)/((-152)/114) and 71/26?
26
Let l be 0 - (-2 - 1) - (-38 + 4). Let b(m) = -2*m**2 + 75*m - 19. Calculate the smallest common multiple of 114/8 + 2/(-8) and b(l).
126
Let h = -33223/10 - -3317. Let u be (-2)/(-26) + 15162/(-196430). Let b = -324891/98215 - u. Find the common denominator of h and b.
130
Suppose 46*f - 38*f = 648. Calculate the least common multiple of f and 120.
3240
Suppose z + 9 = 15. Let x be (z/44)/(90/(-9650)). Let a = x - 50/11. Find the common denominator of a and 91/16.
48
Let h be 4/14 + ((-1860)/(-14))/(-3). Let w = h + 54. What is the smallest common multiple of w and 54?
270
Suppose 30 = 5*m, -3*h + 107 = -m - 61. Let p be -12*(22/8 - 3). What is the least common multiple of h and 76/12 - 1/p?
174
Let v = 248 + -241. Let x(k) = -4*k - 6. Let c(r) = r. Let i(o) = 5*c(o) + x(o). What is the smallest common multiple of 6 and i(v)?
6
Suppose -3805 + 3643 = -9*k. Suppose 4*t - 943 + 367 = 0. Calculate the least common multiple of t and k.
144
Let c = 4557679/6 + -29437043/39. Let y = 4814 - c. What is the common denominator of y and 125/18?
234
Suppose -4 + 28 = 6*t. Suppose 4*m - 297 = -m - 3*d, -t*d + 296 = 5*m. What is the least common multiple of m and 16?
240
Find the common denominator of 131/12 and -10*8/3008*34.
564
Let g = -108281 - -21223143/196. Calculate the common denominator of -99/8 and g.
392
Let r = -198 + 201. Let a = 1778 - 26746/15. What is the common denominator of r + 1 - (868/120 - 1) and a?
30
Suppose -r - n = 5, -r - 5*n + 2*n = 7. Let z = -5037/56 - -695/8. Find the common denominator of 1072/360 + r/(-18) and z.
70
Let h = -615 + 623. What is the common denominator of (-129)/(-24) + h/(48/30) and 85/4?
8
Suppose -x - 2*x + 5*m = -147, 4*m = 5*x - 258. Let s(k) = k - 10. Let f be s(0). What is the least common multiple of (-25)/f*x/5 and 12?
108
Let d(f) = 5*f**3 - 17*f**2 - 2*f - 7. Let q be d(4). Let o = 7 + 2. Suppose q = z + o. Calculate the smallest common multiple of z and 30.
120
Let f(q) = 47*q**2 - 5*q + 4. Let u be f(2). Find the common denominator of -173/30 and u/1155 - 2*(-2)/(-10).
330
Let p be (18/(-15) + 0)*-5. Suppose -10 = -2*o - p. Suppose 10 = -3*a + t + 41, -o*t + 34 = 2*a. Calculate the smallest common multiple of a and 14.
84
Let p = -102274689/310 - -329918. Find the common denominator of -49/10 and p.
310
Let l(w) = 22*w**2 - 1 + 11*w**2 + 2*w**2 + 2*w. Calculate the lowest common multiple of 36 and l(-1).
288
Let z = 1177/27 - 26605/594. Calculate the common denominator of -139/462 and z.
462
Let m(x) = x**3 - x**2 - x + 35. Let v be m(0). Suppose -43*w - 308 = -65*w. Calculate the lowest common multiple of w and 2/12 - v/(-6).
42
Let s(o) = 117*o - 813. What is the smallest common multiple of 330 and s(9)?
2640
Suppose 166672 = n + 10*n. Let c = n + -530251/35. Calculate the common denominator of c and -61/5.
35
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