et j = 50431/22 + -2289. What is the common denominator of 27/1204 and j?
13244
Let l = -1/2894 + -37527/274930. What is the common denominator of -55/9 and l?
855
Suppose -w = 5*c - 37, -7*w - 5*c + 89 = -5*w. Suppose -5*h + w = -38. Let f = 1 + 1. What is the lowest common multiple of f and h?
18
Find the common denominator of (100 + -98)*((-327)/(-196))/(-3) and 29/182.
1274
Suppose 5*p + 650 = 725. Calculate the lowest common multiple of p and 12.
60
Let l be (-20)/(-70) - (-38378)/(-4620). Let x = l + 38/495. Let q = 11431/12 + -943. What is the common denominator of q and x?
36
Let n = -14568/11 + 1328. Calculate the common denominator of 1/172 and n.
1892
Suppose -r + 50 = 10. Let x = 1 - -3. What is the smallest common multiple of x and r?
40
Let y = -4/1111 - 105489/15554. What is the common denominator of 34/(-85)*(-250)/32 and y?
56
Let q(j) = -17*j. Let z be q(1). Let p(l) = 4*l**3 + 2*l**2 + 5*l - 1. Let v be p(-2). Let a = z - v. Calculate the least common multiple of a and 2.
18
Suppose 6*x = 3*x + 180. Suppose 0 = -2*j - 10, -y - 2 = j - x. What is the common denominator of 32/7 and y/(-8) - (8 - 5)?
56
Let n = -5/4432 + -157151/163984. What is the common denominator of n and 43/12?
444
Suppose k + 6 = -6. Let h = -7 - k. Suppose h*r - 2*a - 13 = -6*a, -2*r - 3*a = -8. Calculate the least common multiple of r and 31.
31
Suppose -7*x + 1539 = 2*x. Calculate the least common multiple of x/(-3)*8/(-12) and 2.
38
Suppose -2*l + 3*b - 3 + 63 = 0, b + 60 = 2*l. What is the common denominator of (-2)/((-28)/l)*252/144 and -13/48?
48
Let b = -17 - -17. Suppose -8 = -3*v + n, b - 10 = 5*n. Suppose 0*k + v*k = 64. What is the lowest common multiple of 6 and k?
96
Calculate the common denominator of (0 - 2/(-3)) + (-730)/270 and (4/(-14))/(2 + 10570/(-5243)).
54
Let o = 2128 + -21171/10. Find the common denominator of o and 1313/78 + (-15)/3.
30
Suppose 15 = 3*j - j + 5*s, -3*j - 5*s = -25. Let d = 38 - 23. Suppose 2*o = -u + d, -6*o + o = -u - 55. What is the lowest common multiple of o and j?
10
Suppose 3*c = 8*c - 25. Suppose -63 = -c*j + 4*k + 85, 0 = -3*j - k + 99. What is the smallest common multiple of 32 and j?
32
Let m = -1/1745 - -129147/29665. Let t = 927/170 - m. Let f = -24105/11 + 2194. Calculate the common denominator of f and t.
110
Let q(v) be the third derivative of v**5/12 + v**4/12 - 8*v**2. What is the smallest common multiple of q(-2) and 44?
176
Let p = -22065 + -17760. Let v = -1831855/46 - p. Calculate the common denominator of -87/14 and v.
322
Let h = -132 - -219. Suppose h = 4*q - 45. Suppose 0 = 5*k - 10, -3*z = -k + 4*k - q. Calculate the least common multiple of 3 and z.
9
Suppose 108*g + 786 = 4*c + 107*g, c - 206 = 5*g. What is the smallest common multiple of c and 21?
588
Calculate the lowest common multiple of (-4)/(-4)*(-3 + 65) and 10.
310
Let o = 42463/874 - 1066/23. What is the common denominator of o and 85/12?
228
Let i = -2/5 - -1/15. Let q = -9349/36 - -2182/9. What is the common denominator of q and i?
12
Suppose -r + 2*c = 7*c - 51, 5*r - 342 = 4*c. What is the least common multiple of r and 102?
1122
Suppose -v + 35 + 49 = 0. Suppose -314 = -11*i - 248. What is the smallest common multiple of i and v?
84
Calculate the common denominator of 46/11 and (-2413)/456 - (-7)/1.
264
Suppose 3*j - 66 + 18 = 0. What is the lowest common multiple of j/64 - (-62)/8 and 4?
8
Let n = 366/43 + 1157/344. What is the common denominator of n and 2/9*762/8?
24
Suppose 2*o + 307 - 489 = 0. What is the least common multiple of o and 4?
364
Let i = -25439/6 - -4249. Find the common denominator of i and 2152/(-468) - (-4)/26.
18
Let t = -357 + 57474/161. Find the common denominator of t and -27/184.
1288
Let f = 852 + -804. Calculate the lowest common multiple of 136 and f.
816
Suppose 21 - 1 = 5*p. Suppose 49 = -p*w + 11*w. Suppose 3 = 3*r - 3. Calculate the smallest common multiple of w and r.
14
Let h = -4708 + 2134. Calculate the common denominator of (-8469)/h - (-2)/(-13) and -61/8.
88
Let o(l) = l**3 + 5*l**2 + 3*l - 2. Let k = 46 + -50. Calculate the smallest common multiple of 18 and o(k).
18
Suppose -n + 25 + 34 = 0. Let k = -55 + n. What is the least common multiple of k and 20?
20
Let p = -21 - -52. Let y be 30/24*(1 - -19). Let w = p - y. Calculate the least common multiple of 2 and w.
6
Calculate the common denominator of 2/((-6)/(-219)*8) and (-2 - (-745)/30) + -2.
24
Let r = -11/466 - -4360/2097. What is the common denominator of -50/27 and r?
54
Suppose -p = -3*r - 8, -2*p + r = -8 - 28. Suppose 2*z = -f + 3*f + 26, -5*f - 4*z = p. Let l = f - -15. Calculate the lowest common multiple of l and 6.
42
Suppose 19*v = 411 + 330. Find the common denominator of v and 13/8.
8
Calculate the least common multiple of (1 - 129/(-9))*(11 - -4) and 253.
2530
Suppose 291 = 3*t + 6*y - y, -t + y = -105. Let i be 360/75*(-10)/3. Calculate the common denominator of 31/2 and 4 + t/i*1.
8
Suppose -4*l - 5 = -t, 3*l + 1 = -t - 8. Find the common denominator of (-201)/40 + l/(-5) and 8/(-21)*560/60.
72
Suppose -4*y + 7 = -2*u + 25, -3*u = -y - 12. Suppose 0*t - u*t + 24 = 0. Suppose 5*k = -2*m + 53 - 10, 0 = m + 1. What is the least common multiple of k and t?
72
Let r(x) = -x**3 + 4*x**2 + 24*x + 19. What is the least common multiple of r(-3) and (-3)/((-18)/76)*3?
190
Let j = 1967/132 - 187/12. What is the common denominator of j and -3 + (3 - (-168)/15)?
110
Suppose 468 = 5*h - 2*y, -467 = -5*h + 105*y - 102*y. What is the least common multiple of h and 20?
940
Let q be 237/(-49)*8/12. Let a = q + 6191/294. What is the common denominator of 87/28 and a?
84
Suppose 4*r - 52 = -r - 3*x, 0 = 5*r + 4*x - 51. Suppose 0 = -5*w + r + 19. Find the common denominator of 85/(-42) - 8/w and 149/6.
42
Suppose 112 = h + 5*o, 0 = -5*h - 5*o + 325 + 215. Let t = -74 + h. What is the least common multiple of 33 and t?
33
Let d(y) be the first derivative of -y**4/4 - 5*y**3 + 15*y**2/2 - 22*y - 7. Let x be d(-16). Find the common denominator of -109/14 and 82/x*(-14)/(-84).
126
Let k = 132075642752 - 5977743590416911/45260. Let z = k + -3/9052. Find the common denominator of z and (1 - 135/126)*-1*113.
70
Let o be (-10)/(-1)*13 + 2. What is the common denominator of (o/(-14))/2 - -1 and -47/8?
56
Let s = -598/397 + 7783/38112. What is the common denominator of 88/15 and s?
480
Suppose -3*o + 0*v + 60 = -2*v, o - 4*v = 30. What is the common denominator of (-51)/o + 0 - 2 and 11/9?
18
Calculate the common denominator of 11/(-90)*2*33/(-2) and 79/33.
330
Let t = -1101 + 1141. Calculate the smallest common multiple of t and 10.
40
Let z be (-10)/3*6/5. What is the common denominator of (-349)/(-240) - z/10 and -103/22?
528
Suppose 24 = b + 3*b. Suppose -9*s + b*s + 15 = 0. Suppose 4*f - s*o = 24, -5*f - o + 30 = 2*o. What is the lowest common multiple of f and 14?
42
Let m(q) be the first derivative of -q**2/2 - q - 1. Let r be m(-7). Suppose -11 = 5*u - r*u. What is the smallest common multiple of u and 5?
55
Let d(x) = x**2 - 12*x + 16. Let j be d(11). Suppose j*b - 8 - 62 = 0. Let s = 4/223 + 15797/2007. Calculate the common denominator of b and s.
9
Let w = 2616/11 + -242. Find the common denominator of 6/8 + (-25)/30 and w.
132
Let b(z) be the first derivative of 2*z**3/3 + 5*z**2 + 8*z + 12. Let i be b(-6). Calculate the common denominator of (-558)/27*9/i and 77/10.
10
Let o = -113 + 128. Let x = o + -5. What is the smallest common multiple of 16 and x?
80
Suppose -74*b - 15*b = -4005. Let a = -197789/16 - -12358. What is the common denominator of b and a?
16
Calculate the least common multiple of (12/(-10))/(6/(-160)) and 4.
32
Let f(c) = c - 1. Let t be f(5). Suppose 5*z - t = 1. Suppose 7 + 47 = 6*k. Calculate the smallest common multiple of k and z.
9
Let i(o) = o**2 + 4*o - 5. Suppose 0 = 2*q - 3*q - 5. Let n be i(q). Let m = 16 + n. What is the least common multiple of m and 22?
176
Let m be 4 + (2 - 2) + 3. Let a = 38 - 23. Let q = a - m. What is the least common multiple of 2 and q?
8
Let m(f) = -f**3 - 6*f**2 - 6*f - 2. Let n be m(-5). Let i = n - -2. Suppose s - 9 + 1 = -2*l, i*l + 4*s = 14. What is the least common multiple of l and 4?
12
Let r = -10 + 5. Let h be ((-10)/(-6))/(r/(-180)). What is the common denomi