t r = -841/2 - -408. What is the common denominator of r and m?
136
Let b be (-2)/7 - (-1 + 3580/14). Find the common denominator of 0 - (2 - (-69)/42) and 1/20*15*b/54.
168
Let q = 364 - 568. What is the smallest common multiple of 14 and (-4)/(4/9 + q/216)?
56
Suppose 0 = -38*f + 33*f + 20. Suppose -2*b - 4*i + 76 = 0, 5*i + f + 6 = 0. What is the common denominator of -3/44 and (b/(-20))/((-72)/(-420))?
44
Suppose -7146 + 1242 = -41*w. Calculate the least common multiple of 180 and w.
720
What is the common denominator of (3 + 162/(-48))/((-6)/(-140)) and 50/(-40)*(-755)/(-150)?
24
Find the common denominator of -47/4 and (0 + 213/(-120))*500/400.
32
Let r(p) = 92*p**2 - 1106*p + 30. Suppose -3*a + 543 = -3*s, 4*a - 196 = 3*a - 4*s. Calculate the lowest common multiple of a and r(12).
552
Let a(y) = -21*y**3 - 6*y**2 + 10*y - 18. Let j be a(4). Let t = 17089/12 + j. What is the common denominator of t and 119/48?
48
Suppose 4*z + 5*h + 4 - 179 = 0, 3*z - 5*h = 105. Suppose 0 = -5*r + q + 515, 35*q - z*q + 337 = 3*r. What is the lowest common multiple of r and 1?
104
Let w = 2707/10 + -3967/15. Let t = -37804693/657 - -517868/9. Let m = t + -4/73. Calculate the common denominator of w and m.
90
Let z be 1 - (17/2 + 3/6). Suppose -4*q - 2 + 62 = 0. Calculate the lowest common multiple of q and 3/4*z/(-3).
30
Let p = -1618 - -1623. Calculate the smallest common multiple of 45 and p.
45
Let q be (1/(-36))/(40/7674). Let o = q - 7/80. What is the common denominator of o and ((-1)/44)/(261/22446)?
132
Let t(y) = 7*y - 5. Let a be t(-6). Calculate the common denominator of -1/84 and -3*a/(-12) + 6.
84
Let n be 9/(-6) - (-3960)/16. Suppose 0 = -16*m + n + 330. Calculate the lowest common multiple of m and 13.
468
Let l(c) = -19*c + 22. Let u be l(10). Let f = u + 822/5. Calculate the common denominator of 8 and f.
5
Suppose -239*a - 5 = -234*a. Let c = -1564663/155172 + 1/12931. What is the common denominator of 0 + a + 7/966*231 and c?
276
Let t(v) = 458*v - 961. What is the least common multiple of 12 and t(5)?
5316
Let d = 15/2527 + -7545/358834. Calculate the common denominator of d and -81/266.
18886
Calculate the smallest common multiple of (-3 + (-252)/(-20))*(-20)/(-8) and 468.
936
Let l = -98 + 143. Let m = -183/4 + l. Calculate the common denominator of m and 15/14.
28
What is the common denominator of (-3)/(-7) + -8 + 3124/224 and -2 - (-522)/64 - 3?
32
Suppose 0 = -4*g - 3*y - 3, -20 - 11 = -2*g + 5*y. Suppose -11*n - g + 14 = 0. Calculate the smallest common multiple of 6 and n.
6
Let d(b) = -5*b + 10. Let n be d(7). Let j = 25 + n. Suppose 2*z = -2*l + 16, 4*l + j*l = 2*z + 44. What is the least common multiple of l and 3?
30
Let u be (-46 - -51)/((-10)/(-14)). What is the common denominator of u/(-1701)*(-45)/12*-34 and -131/18?
162
Suppose 179 = 38*d - 657. What is the smallest common multiple of d and 152?
1672
Let k = 9 + -4. Let d(o) = o**3 - 4*o**2 - 4*o - 5. Let n be d(k). Suppose n*v + 228 = 6*v. Calculate the smallest common multiple of v and 6.
114
Let q = -16553 + 148924/9. Calculate the common denominator of 17/405 and q.
405
Let q(f) = -f - 7. Let n be q(-10). Suppose -2*g = -n*r + 42, 4*r - 25*g - 56 = -23*g. What is the common denominator of -11/9 and r?
9
Let s = 305/8 - 1483/24. Find the common denominator of s and -4/87.
87
Let x(h) = h**2 + 128*h - 2787. Calculate the lowest common multiple of 570 and x(19).
570
Let s(q) = -3 + q**2 + 21*q - 59*q + 28*q + 0. Calculate the lowest common multiple of s(11) and 28/(-49) + 312/7.
88
Suppose 2648 + 668 = 28*z - 996. What is the smallest common multiple of z and 1419?
19866
What is the common denominator of (-6790)/15096 + (-186)/(-527) and 43/34?
7548
Let n(h) = -137*h**2 + 3*h + 3. Let j be n(-1). Let p = 256 - j. What is the smallest common multiple of 3 and p?
393
Let c = 42 - 36. Let b be 5 + -2 + (-22782)/c. Let m = b + 34208/9. Calculate the common denominator of m and 34/5.
45
Let c = 5563 + -5561. What is the smallest common multiple of c and 4984?
4984
Let h = -3862 + 34819/9. Calculate the common denominator of h and 10/25 + (-22957)/1980 + 15.
36
Let y(b) = 10*b**2 - 3*b - 2. Calculate the least common multiple of (((-36)/(-10))/(2079/(-1980)))/(48/(-448)) and y(-2).
352
Let s = 27 - -62. Let h = s - 89. Calculate the common denominator of 41/10 and (h/2 - -2)/(72/118).
90
Suppose 3*w - 3844 = 659. What is the lowest common multiple of 9 and w?
13509
Let u = -6422 + 8886. Calculate the least common multiple of u and 77.
2464
Let v = 46/27 - -382/135. What is the common denominator of (-101)/(-404) + 407/(-180) and v?
90
Let w = 937/2 - 5711/12. Suppose -2*q + 61 = 13. What is the common denominator of (-262)/(-88) - q/(-32) and w?
132
Suppose 0 = 2640*x - 2602*x - 20672. Calculate the lowest common multiple of x and 680.
2720
Let y = 57063 - 57054. What is the least common multiple of y and (16/6)/(6/81)?
36
Let s = 6055 + -5985. What is the smallest common multiple of 42 and s?
210
Suppose 14*l = -62 + 902. Suppose -4*h + 8*f + l = 3*f, 4*h = -f + 84. What is the smallest common multiple of h and 12?
60
Suppose 0 = -9*g - 941 + 2390. What is the least common multiple of 21 and g?
483
Let w = 24495 - 21084. Calculate the lowest common multiple of w and 33.
37521
Let i = 1808/23145 - -16817445229/162015. Let c = i - 11450157/112. Let f = 1567 - c. Calculate the common denominator of 37/10 and f.
80
Let p(o) = 29*o**3 + 336*o - 671. Suppose -5*r = 2*z + 11 - 31, 2*z + 40 = 5*r. What is the smallest common multiple of p(2) and r?
1398
Let d = -973 + 355. Calculate the common denominator of 53/48 and (-5)/(-165)*d/4.
528
Calculate the common denominator of 93/4 and 1*-5 - (-34931)/(-6630)*-1.
1020
Suppose -7031 = -13*i - 791. Calculate the common denominator of 53/48 and (2310/i)/(-2*1) - 0.
96
What is the common denominator of -71/132 and (-73)/((-37449)/(-38)) - (-1286)/16632?
924
Let t(q) = -2*q**2 - 501*q + 5212. Suppose -d + f + 59 = -39, 5*d = -4*f + 508. Calculate the least common multiple of t(10) and d.
100
Let k(x) = 2*x - 3. Calculate the lowest common multiple of k(6) and 18 - -30*(-4)/(-10).
90
Let u be (-26)/22 - 12/(-66). Calculate the common denominator of (29/(-174))/(4 - (-3210)/(-801)) and 429/(-756)*(-3)/u.
84
Suppose 4*v + 21967 = -0*v + 5*i, 3*v + i + 16499 = 0. Let n = v - 5168. Let j = 127877/12 + n. Calculate the common denominator of j and -7/15.
60
Let f be (-69)/85*19 - (3 - 5). Let h = -173707/13770 - f. What is the common denominator of h and -73/14?
1134
What is the common denominator of (16/5824)/(24/1190) and 87/64?
2496
Suppose 34 = 4*f - 2*b, -40 = -12*f + 7*f + 2*b. Suppose -21 = -m + 5*x, f*m = 11*m + 4*x + 11. What is the smallest common multiple of 342 and m?
342
Suppose 0 = -32*g + 376 + 72. Let v(j) = 17*j - 5*j**3 - 22 - 3*j**3 + 14*j**2 + 7*j**3. Calculate the lowest common multiple of g and v(15).
56
Find the common denominator of -37/1053 and 31/(-3)*(211033/5278 + -40).
14742
Let m = 23068/165 - 699/5. What is the common denominator of (-9)/(12 - -258)*(-9 + 828/(-42)) and m?
2310
Suppose 5*t = g + 45, -3*g + 6 + 11 = 4*t. Let x be (6/(-4))/(9/24). Calculate the smallest common multiple of t - (-1 + -1 - x) and 30.
30
Let d(h) be the third derivative of h**5/60 - 5*h**4/12 + 2*h**3/3 - 12*h**2. Let i be d(8). Find the common denominator of 53/6 and (-375)/(-54) + (-2)/i.
18
Calculate the least common multiple of 984 and (0 + -6)/((-5)/60).
2952
What is the common denominator of -89/264 and (-20)/24*3 + (-355)/(-96)?
1056
Let n = -16555735623/335 + 2276482136375779/46065180. Let t = -16661/12 - n. Let u = 1226041/412524 + t. Find the common denominator of u and -73/30.
180
Calculate the common denominator of -37/3910 and (5858/(-41055) + (-17)/(-119))/((-38)/14915).
11730
Let m = 148823827/6390 - 238699/355. Let x = m + -22624. What is the common denominator of x and -25/24?
72
What is the common denominator of (-4304)/(-240) + -18 + (-391)/(-315) and 55/203?
1827
Suppose 26*l + 13392 = 22*l. Let h = l + 80329/24. Calculate the common denominator of -103/22 and h.
264
Calculate the common denominator of (-159480)/51300 + (-6)/38 and 31/168.
840
Let q = -412 + 808. What is the common denominator of 9/(q/(-40)) - -4 a