2546. What is the smallest common multiple of p and 400?
4400
Let m = 1187/1530 + 19/153. Let x be (-2)/8*(-5342)/(-4). Let l = -333 - x. Find the common denominator of l and m.
40
Let i = 2 - 0. Let s be i/5 + (-509170)/(-75300). Let n = s + 6/1255. What is the common denominator of n and 27/16?
48
Suppose 2*j = 4*j + 8, 2*m - j - 4 = 0. Suppose -3*n - 11 = 2*d - 44, m = d + 5*n - 27. What is the lowest common multiple of d and 96?
96
Let p be (8 - 528/60) + 902/1340. Let m = 5137/2814 - p. What is the common denominator of 25/69 and m?
483
Let b = -32/29 - -33/29. Calculate the common denominator of b and 16/89.
2581
Suppose -7601*d + 3780*d - 2112 = -3909*d. Let p(c) = c**3 - c**2 - c + 27. What is the lowest common multiple of p(0) and d?
216
Let c(n) = 14*n - 132. Let g be c(10). Find the common denominator of 3/g + (-1072)/4736 and -57/10.
370
Let r(d) = -3*d + 64. Calculate the least common multiple of r(20) and 99.
396
Suppose 319 = 12*p - 233. Calculate the least common multiple of p and 3.
138
Let y = -500733415/1749 - -286297. Find the common denominator of -87/550 and y.
87450
Let r be -22*((-9)/6 - -1). Let l be 4358/r + (-12)/66. What is the common denominator of 2/3 + 1590/l and 145/12?
132
Suppose 19 = 2*h + c, 0 = 7*h - 9*h - 3*c + 21. Suppose -21*q + h*q + 216 = 0. Calculate the smallest common multiple of 10 and q.
90
Suppose -64 = -2*r - r - 2*q, -4*q - 92 = -5*r. Let g = -29/2 - r. Calculate the common denominator of 3*(-2)/16*-34 and g.
4
Let v = -2523/4 + 5085/8. Let i = -32097 + 1283573/40. Let p = v + i. What is the common denominator of 7/10 and p?
10
Let f be -2 - 11/(-6) - 400/(-96). Suppose f*s - 53 = -17. What is the least common multiple of s and 4?
36
Let c(h) = -h - 18. Let i be c(-30). Suppose -j + i = 6. What is the smallest common multiple of (12/(-5))/((-3)/10) and j?
24
What is the common denominator of 1701/(-60) + 5 + (-4)/10 and 158/(-80) + 3 - (2 - 0)?
40
Suppose -2*c + 2*i = -6, 2*c + 33 = -4*i + 57. Calculate the smallest common multiple of 63646 and c.
190938
Let c = 362 - 44. Calculate the least common multiple of c/66 + (-1)/(44/(-8)) and 35.
35
Suppose -2055 - 2538 = -24*w + 159. Calculate the lowest common multiple of 726 and w.
2178
Let j = -117521437/24 - -4892131. Let k = 4593 + j. Calculate the common denominator of k and (26/12)/(279/62).
216
Suppose -79 - 7 = -2*u. What is the common denominator of ((-124)/(-5797))/((-108)/(-11322)) and 3/(-6) - u/(-6)?
33
Let q be 21/28 - 0 - (-354)/8. What is the least common multiple of ((-40)/(-10))/(3 + (-131)/q) and (1 - 22/(-8))*4?
45
Suppose -22 = 2*m + 3*f - 4, 0 = 5*m + f + 58. Let u = 60 + m. Let y = 1/1746 + 51068/4365. What is the common denominator of y and u?
10
Let w(m) = m**2 + 4*m - 2. Let v be w(-5). Suppose 12 + 48 = v*x. Calculate the lowest common multiple of 16 and x.
80
Let j = 138 + -156. Let c be (-4)/j - 4653/14985. Let g = c + 9/74. What is the common denominator of g and 169/30?
30
Let f(s) = -653*s + 3168. What is the smallest common multiple of f(4) and 168?
23352
Find the common denominator of 113/476 and (-426)/2982 + (-9)/(-2).
476
Let n = 4389/32524 + 3/346. What is the common denominator of -173/1974 and n?
3948
Let m be 5/(10/(-162))*(-20 - -21). Let y = m - -88. What is the least common multiple of 74 and y?
518
Suppose 3*q - 12 = 0, 3*l = -2*l + q - 29. Let g = l - -7. What is the least common multiple of 11/(15 + -4)*3 and g?
6
Let g(p) = 5*p - 39. Let c be g(9). Suppose -c*o - 86 = 772. What is the common denominator of -23/16 and ((-1)/(-2))/((72/o)/(-4))?
144
Let d be (8/(-10))/(2/15). What is the lowest common multiple of 45 and 83 - (7 + 1 + d)?
405
Suppose 0 = 3*c + 10*k - 11*k - 2166, 0 = 4*k - 24. What is the least common multiple of 42 and c?
15204
Let y be 11/(-55) - 852/(-10). Suppose -3*n + 63 = -2*p - 7, -5*n + y = 3*p. What is the lowest common multiple of 35 and n?
140
Suppose -4 - 17 = -5*x - 11. What is the lowest common multiple of 223 and x?
446
Let t(n) = -2*n**2 + n - 295. Let c be t(0). Let g = c - -4779/16. Let h = -6499/1716 - -122/39. Find the common denominator of g and h.
176
Let x = 37248037/696 + -1394325/58. Let o = -29471 + x. Calculate the common denominator of o and 7/6.
24
Find the common denominator of 51/104 and (-3 - (-2836)/728) + (-28)/98.
728
What is the least common multiple of 99 and (-608)/38 - 280/(-1)?
792
Let z = 450 - 445. Calculate the lowest common multiple of 23/z + 99/(-165) and 148.
148
Let c be 2/1*60/24. Suppose 2*i + 5*t = 4, 3*i + i + c*t - 28 = 0. Suppose i = s - 6. Calculate the lowest common multiple of s and 8.
72
Let u = -4902 - -1214. Let b = -36803/10 - u. Let a = b - -4/5. Calculate the common denominator of a and -73/4.
4
Let o be ((-14)/(-7))/(10/35). Let h(z) = z**2 + 3*z - 34. Calculate the smallest common multiple of h(o) and 32.
288
Let x = 1314/43 - 497681/16254. Calculate the common denominator of x and 127/66.
4158
Let a = -13047847/140 + 93198. What is the common denominator of -57/154 and a?
1540
What is the common denominator of -39/1205 and 15 - 12 - 92/(-50)*(5 + -7)?
6025
Suppose -4*z + 160 = 3*o, 118*o - 113*o = 2*z + 284. Suppose -u + 3*u - 154 = 0. Calculate the lowest common multiple of o and u.
616
Let i be (-5)/(-7)*(-274)/4. Let c be (-1111)/(-77) - (6 + 0) - 3. Let v = i + c. What is the common denominator of -91/4 and v?
4
Let o be (-2)/(-6) + (-355138)/21. Let n be ((-3)/114)/(63/o). Let u = 10/1197 - n. What is the common denominator of u and -121/6?
18
Let y = -16953 - -28157. What is the least common multiple of 14 and y?
78428
Calculate the lowest common multiple of (-2013)/(-366)*(-1 + 57) and 1512.
16632
Let c = -4862/67 - -2732989/37788. Find the common denominator of 71/376 and c.
1128
Suppose 0 = 2*p - 2*n - 224, 0 = -2*n - 0*n - 8. Suppose -7*g = 11*g - p. Calculate the least common multiple of g and 10.
30
Let p = 722 - 694. Let g(c) = c**2 - 26*c + 24. What is the lowest common multiple of g(p) and 60?
240
Let a = 289 - -461. Let p = 15009/20 - a. Find the common denominator of p and 37/44.
220
Let v be 8/(-932)*9/4. Let u = 2/1240245105 - -6855330791513/1155908437860. Let j = u - v. What is the common denominator of j and -29/186?
1860
Find the common denominator of -143/720 and ((-1192)/(-288)*1)/10.
720
Suppose 2*y - y + 4*d - 4 = 0, -3*y - 3*d = 6. Let b = 8 + y. Let q(x) = 5*x - 54. What is the lowest common multiple of q(12) and b?
12
Suppose -286781 - 83793 = -31*u. What is the common denominator of u/1290 - 1/(-3) and 2/(-5)*(-50)/(-48)?
60
Suppose 186*c = 5*j + 189*c - 104, -5*j - c + 108 = 0. What is the least common multiple of j and 2?
22
Calculate the common denominator of 37/90 and 2 - ((-2)/234*1)/(5/(-1510)).
1170
Suppose -3*t + 2 + 46 = 0. What is the common denominator of 113/(-140) - 4/28 - 3 and ((-222)/(-165))/(t/20)?
220
Let p be ((-3351051)/102)/3 + 1. Let b = 10951 + p. Find the common denominator of b and 165/15*(-2)/2 - 35207/(-2584).
136
Let y = 178/65 - 47/39. Find the common denominator of y and 1100/(-120)*2/(-60).
180
Let z = -14 - -24. Suppose -4*f - 5*u + 127 = 0, -6*u + 142 = 4*f - 4*u. Calculate the smallest common multiple of z and f.
190
Let b = -255646904803/6489 + 39396965. Let c = 9/103 - b. What is the common denominator of 38/21 and c?
63
Let g = -43698139/192817548 - -6/281897. Calculate the common denominator of g and 53/9.
684
Let p = -680139776441/37698 + 18041800. Find the common denominator of -151/18 and p.
113094
Calculate the common denominator of (13 - 792/32 - -13) + 4/4 and -1 + (-753)/(-322) - 1.
644
Let v(l) = l**2 + 77*l - 2364. What is the smallest common multiple of v(24) and 3885?
15540
Let j = -755915/2851548 - -1/34356. Find the common denominator of -89/8 and j.
664
Let j = 128726599/320 - 402271. Find the common denominator of j and -11/40.
320
Suppose 805 = 5*t - 5*r, 0 = -5*t - 0*t + 2*r + 793. Let y = -154 + t. What is the smallest common multiple of 108 and y?
108
Let u = -19009 + 19121. What is the lowest common multiple of u and 2512?
17584
Let c be (-15)/(-2)*8/18222. Let r be ((-4)/18)/((-2453896)/(-116830437)). Let p = r - c. Calculate the common denominator of -97/16 and p.
48
Let b be -4 - (63/(-7) - -5). Suppose -4*v + 5*q + b*q + 277 = 0