2809/783. Calculate the common denominator of (-10)/(-42)*i/(-15) and d.
189
Let g(r) = -23*r**3 + r**2 + 2*r + 3. Let w be g(-1). Find the common denominator of -48/11 and 126/(-10) - (-125)/w.
55
Suppose -10*i - 4105 + 5701 = -6354. What is the least common multiple of i and 1431?
7155
Let b(r) = -12*r - 1. Let d be b(1). Let m = d - -16. Suppose 2*y = -3*y + 5*o + 85, -3*y + 71 = 2*o. What is the lowest common multiple of y and m?
21
Suppose 0 = 2*z - 7*z - 5*t - 17225, 2*t + 10339 = -3*z. Let o = 48341/14 + z. What is the common denominator of o and (-2)/((-36)/(-10)) - -2?
126
Let t = -13206 + 211217/16. Calculate the common denominator of -65/22 and t.
176
Let a = 3/87757 - 11146723/46335696. Find the common denominator of a and 34/33.
528
Let x = -18 - -303. Let g = x - 273. What is the smallest common multiple of g and 75?
300
Suppose 0 = 5*t + 9*o - 10*o - 36, -3*t + 5*o + 4 = 0. Calculate the common denominator of (-847)/(-98) - (-1 + t/2) and -103/14.
14
Let v = 121448096 + -945473431351/7785. Let d = -92/173 + v. What is the common denominator of d and -49/6?
90
Suppose -5*i - 124*n = -117*n - 118, -2*i + 16 = -5*n. Let r be (-4)/(-2)*(-27)/(-2). Suppose r = 5*t - 13. What is the lowest common multiple of i and t?
72
Suppose -5*r - 122 = -2*w, 4*w + 5*r - 4*r = 222. Calculate the smallest common multiple of 48 and (2760/w)/3 - (-3)/(-7).
48
Let x be 14/(-140) - 4431/(-10). Let g = x - 3549/8. What is the common denominator of 23/10 and g?
40
Let p = 26585 - 159581/6. Let v be (-1)/(-11)*(-39614)/(-2). Let j = 1798 - v. What is the common denominator of j and p?
66
Calculate the lowest common multiple of ((-186)/21)/(37/(-259)) and 1116.
1116
Suppose 5*q - 124 = -p, -111*p = 5*q - 108*p - 132. What is the lowest common multiple of q and 288?
288
Let y = 11432 - 2160689/189. Calculate the common denominator of y and 163/1134.
1134
Suppose 0 = 4*u - 32 - 128. Calculate the smallest common multiple of ((-1600)/6)/((-9264)/6948) and u.
200
Let g(v) = -v**2 - v. Let x(i) = 6*i**2 - 3*i + 16. Let o(u) = 5*g(u) + x(u). Let f be o(8). Calculate the common denominator of (-564)/f*4/6 and -143/18.
18
Calculate the common denominator of (-7)/(-21)*(-138)/32 and (14/2 + (-79)/16 + -2)*-99.
16
Let w = -160569/51238 + -6/2329. Let j be (-68579)/546*1 + 1 + 0. Let o = -1388/13 - j. What is the common denominator of w and o?
66
Suppose -5*v + 2*j = 38, -3*v + 0*v = -3*j + 30. Let a be -4 - (-348)/(v - -4). What is the common denominator of 145/6 and (-3)/27 - a/9?
6
Let r(j) = -4*j**3 - 3*j**2 - 2*j - 2. Let l be r(-1). Calculate the smallest common multiple of 67 and l/2*(12 + 2).
469
Let m be -2 - 5/(50/(-26965)). Let d = m + -2646. What is the common denominator of d and 47/1694?
1694
Suppose 5*t + 0*q - 214 = 4*q, -t + q = -43. Let g(z) = 3*z**3 - 164*z**2 - 57*z + 152. Calculate the smallest common multiple of g(55) and t.
42
Suppose 5*d - 3*m = 4, -d - 2*m + 14 = 4*d. Suppose 2*i + 3*r = -2*r + 201, d*i + r = 213. Calculate the lowest common multiple of 10 and i.
540
Let k = 359 + -347. Suppose 0 = a - 5*i - 19, -3*a + 77 = -4*i + 9. Suppose a = 5*r - 4*r. What is the lowest common multiple of r and k?
24
Let r be (-9)/24 - 2024/64. Let h = 28043/2978 - 1/17868. Calculate the common denominator of ((-69)/(-8))/(6*4/r) and h.
12
Let a = -1226 - 546. Let i = a + 28329/16. What is the common denominator of -19/4 and i?
16
Let i be (-2)/9 - ((-46250697)/1917 + 0). Let n = 24126 - i. What is the common denominator of n and -101/4?
284
Suppose 10*y = 5*y - 30. Let w(i) = -i**2 - 16*i + 27. Let v be w(2). Let t = y - v. Calculate the lowest common multiple of t and 10.
30
Let t(g) = 569 - 1097 - 2*g**2 + 560 - 13*g. What is the lowest common multiple of t(-8) and 12?
24
Let s = 14552 - 480164/33. Calculate the common denominator of s and -34/1749.
1749
Let l(u) = 2*u. Let y be l(2). Suppose -y*p = 6*p - 320. Suppose 2*c - 28 = -2*a - 3*c, 0 = 5*a + 5*c - 100. Calculate the least common multiple of a and p.
96
Let f = 640 - 402. Let g = 246 - f. Calculate the least common multiple of 7 and g.
56
Let n = -12921 - -17331. Calculate the smallest common multiple of 60 and n.
8820
Let k(f) be the third derivative of f**5/20 - 7*f**4/24 - 2*f**3 + 2*f**2 + 20. What is the smallest common multiple of k(-4) and 14?
448
Suppose -2*u = 2*r - 8, 6*u = r - 7 - 25. Suppose -y + 3 = -5. What is the smallest common multiple of y and r?
8
Suppose a + 267 - 363 = 0. Find the common denominator of -23/60 and a/168 + (4182/315)/(-2).
60
Suppose -2*q - 6*i - 12 = -2*i, 0 = -2*q + i + 8. Let b(n) = -11*n + 37. Let f be b(5). Let y = f - -48. What is the least common multiple of q and y?
30
Let f = 2643 - 869511/329. Calculate the common denominator of 6/329 and f.
329
Let d(z) = -10*z. Let w be -3*(9/(-18))/((-6)/(-4)). What is the lowest common multiple of d(-1) and 48/30*20*(2 - w)?
160
Let x(b) = b**3 - 68*b**2 - 214*b + 188. Calculate the smallest common multiple of x(72) and 2.
5516
What is the least common multiple of 322 and -7 - 2/((-32)/4536) - 1/2?
1932
Let l(w) = 21*w + 2. Suppose -86 = 156*n - 161*n - 4*j, -5*j - 52 = -n. What is the least common multiple of l(6) and n?
1408
Suppose -2*l - 27 = -147. Let n = -33 + l. What is the smallest common multiple of 7 and (-350)/(-45) + 6/n?
56
Let x(r) = -39*r + 276. Let i be x(6). Let n(v) = -5*v + 214. Calculate the lowest common multiple of 32 and n(i).
32
Let k(o) = -2*o**2 - 21*o. Let y be k(-10). Calculate the common denominator of (-8 + 1)*27/(-63) + y and -62/33.
33
Let v = 498 - 490. Calculate the least common multiple of v and 412.
824
Suppose -76*w + 99 = -73*w. Suppose -w = -11*d + 14*d. Find the common denominator of (14 - 10) + 34/d and 56/15.
165
Suppose 0 = -6*f + 9*f - 12. Let d be (130753/22)/(-7) + f. Let z = -846 - d. Calculate the common denominator of -1/4 and z.
44
Let h = 53598833/140 - 382849. Calculate the common denominator of ((-2)/(-10))/((-8)/81) and h.
280
Suppose 4*a + 5*j - 379 = 0, 4*a - 467 = -j - 100. Let z = 2365/26 - a. Find the common denominator of z and -37/14.
182
Let u = -4121645/118 - -36455300553/1043710. Let o = 11/305 + u. What is the common denominator of o and 53/2?
58
Let v be 22 + 11/((-55)/15). Suppose 3*g = 5*t + 61, -43*g + 45*g = -t + v. What is the least common multiple of g and 22?
132
Suppose -6*s = -s - 40. Suppose -2*x = -x - s. What is the least common multiple of x and 37/(-148) + (-146)/(-8) + 0?
72
Find the common denominator of ((-12)/(-420))/((-6)/(-2226)) and -13/3421.
17105
What is the common denominator of (-7)/(1260/246) + 14/21 and -109/110?
110
Let w = 1 - -3. Suppose 16296 = -18*u + w*u. Calculate the least common multiple of (-1)/4 - u/48 and 15.
120
Let t be 2/18*(-3)/(-58). Let v = 74/261 - t. Calculate the common denominator of v and (-368)/(-828)*-2*132/(-512).
144
Suppose -4*x + 700 = g - 287, -5*x - 3*g + 1239 = 0. Calculate the least common multiple of x and (-5 - -2) + (-5 - -7) + 3.
246
Let r be (-4 - -9) + 0*3/(-6). Let a be -2*(-1)/r*(-85)/(-17). Suppose s - a*g - 1 = -6*g, -s + 36 = -3*g. What is the smallest common multiple of s and 9?
63
Calculate the lowest common multiple of 162 and -1 - -6 - (-160)/(-35) - (-8298)/42.
1782
Let j = -89/3 - -506/21. Let i = 80 - 70. Find the common denominator of (-10)/(-5)*(i - 1) and j.
7
Suppose -67 - 27 = -b - r, -r = -3. Suppose 3*l - 557 = -5*h, l - 5*h - 290 = -b. Suppose s - 10*s + l = 0. What is the least common multiple of 24 and s?
168
Let t be -33 + 35 + 2/1 + -4. Suppose 2*c + 4*p = -0*p + 84, t = c + 5*p - 45. Calculate the least common multiple of c and 50.
200
Let k be (-10556)/(-442) + (0 - 2/(-17)). What is the common denominator of (-1)/48*-146 + 0 and ((-61)/k)/(101/202)?
24
Suppose 12*q + 7*q - 38*q = -80674. Calculate the smallest common multiple of 1930 and q.
21230
Let b(p) = -30*p - 215. Let q be b(-21). Let z = -371 + q. Suppose 0*s = 4*s - 176. Calculate the least common multiple of z and s.
44
Suppose 2*k - 16 - 8 = 0. Suppose 83 = -6*d - 85. Calculate the lowest common multiple of k and ((-231)/d + -7)*4.
60
Let g = -1/19022 - -375691/123643. Calculate the common denominator of g and (-224)/10 + (-434)/(-124) - -11.
130
Let d = 297 - 293. Calculate the lowest comm