?
5992
What is the common denominator of ((-28)/558)/(7672/294 - 26) and -86/1953?
1953
What is the common denominator of -14/519 and 130/(-325)*(-3)/8304*254?
10380
Suppose 0 = 19*n + 343 + 94. Let u(j) = -j**3 - 23*j**2 + 13. What is the least common multiple of u(n) and 6?
78
Let c = 20646/5 - 1155901/280. What is the common denominator of c and 885/(-420) - (-3 - -1)?
56
Let y(c) = c**2 + c - 7. Let n be y(3). Let u be ((-6)/n)/(-2) - (-36757)/5. Let g = u - 147073/20. What is the common denominator of g and 97/98?
980
Let t(p) be the first derivative of 35*p**2/2 - 160*p - 50. Calculate the lowest common multiple of 24 and t(5).
120
Let d = 17071 - 273283/16. Let c = 739/36 + 833/144. Let h = c - d. What is the common denominator of -1/110 and h?
110
Let m = -36 + 41. Suppose -u = m*n + u, n - 4*u = 0. Suppose n*s + 32 = 4*s. Calculate the least common multiple of 18 and s.
72
Let i be (22/14 - 1) + (-147220)/140. Let f be 2/(-5) - i/15. Let x = 68 - f. What is the common denominator of x and 38/9?
9
Let x = 1840 - 1688. What is the least common multiple of x and 4?
152
Suppose -2*p + 2*r = 4*r + 7412, 4*p + 3*r + 14821 = 0. Let s be (p/(-46))/((-1)/(-2)). Let y = -119 + s. Calculate the smallest common multiple of y and 8.
168
Calculate the lowest common multiple of 31 and (0 - (-7)/14)/((-6)/(-372)).
31
Let o = 38284991/174 + -220028. What is the common denominator of o and -119/10?
870
Let i = -6954 - -6962. What is the least common multiple of 10 and i?
40
Let z = -835697/130 + 6428. Let d = z + -6/13. Let k = -3993 - -39873/10. What is the common denominator of d and k?
10
Suppose -9*w - 115 - 2018 = 0. Let y be w - -4 - (0 + 3). Calculate the common denominator of -1 - (y/(-12) + -1) and -53/10.
30
Suppose 4 = q + 3. Find the common denominator of ((-27)/(-30))/(6*q) and ((-18018)/840 + 21)/((-6)/(-28)).
20
Let j be (9 - 5)/((-1)/(-9)). Let z be j/45 + (-2232)/(-10). What is the common denominator of -89/22 and 9904/z - 2/(-7)?
22
Let o(u) = u**3 - 7*u**2 - 19*u + 25. Let l be o(8). Calculate the common denominator of 596/(-1680) + (-2)/(-10) and 30/5 + l/10.
420
Calculate the lowest common multiple of (20/2)/(-5) - 30/(-3) and 301.
2408
Find the common denominator of (-1)/(15/13) - -1 and (-6)/(-45)*-6 + 452/90.
45
Find the common denominator of 31/130 and ((-3)/108)/(39/(-1818)*-2).
780
Let h(w) = 4689*w + 482993. What is the lowest common multiple of h(-103) and (-4)/14 - (-914)/14?
130
Let t = 2/937511705 + 19042737745606/2978474686785. Let u = 18/353 + t. What is the common denominator of u and 14/27?
27
Suppose 0 = 6*f + 5*l - 4846, 20*f - 18*f - 1642 = -5*l. What is the least common multiple of f and 21?
5607
Suppose 2*f = -4*j + 8258, -32*j + 29*j - 5*f + 6204 = 0. What is the lowest common multiple of 2 and j?
4126
Suppose 59 = 2*w + l, 56 = -3*w - 2*l + 144. Let d = -974 + 1136. What is the least common multiple of w and d?
810
Let j = 4 - 1. Suppose 2*d + j*d = 60. Let s = 5480 - 5456. Calculate the least common multiple of s and d.
24
Let l = -7386 - -531701/72. Find the common denominator of (86/72 - -1) + -1 and l.
72
Suppose b - 625 = 2*d - 4*d, -d - 4*b + 323 = 0. Let p = d - 3427/11. Calculate the common denominator of 14/19 and p.
209
Let a = -44339/18 + 7370/3. What is the common denominator of a and -7/564?
1692
Let k = -139248698880775/16326 + 8529260010. Let l = k + 8/907. Let r = -4403/5 + 8887/10. Find the common denominator of l and r.
90
Suppose 3*h - 35 = -2*j, 2*j + 0*h - 2*h = 10. What is the least common multiple of (((-6)/(-45) - 2) + (-60)/450)*-22 and j?
220
Suppose -180 = 4*c - 0*z + 3*z, 80 = -2*c - 4*z. What is the least common multiple of (-320)/(-3)*((-3348)/c)/31 and 10?
240
Let b = -4272/11 - -76753/198. Let x = 4/12263 - 1851905/588624. Calculate the common denominator of x and b.
144
Let f = -26779/8 + 3359. Let b(y) = 12*y + 54. Let l be b(-15). Find the common denominator of (-4)/(-10)*(-270)/l and f.
56
Let d be -2 - ((-5291)/117 + 4/18). Let y = d + -21. Suppose -26*q = -16*q - 2340. What is the lowest common multiple of y and q?
2574
Let m be (8/(64/(-372)))/(1/(-10)). Let b = -4232/9 + m. What is the common denominator of 46/27 and b?
27
Suppose 4*u = -3*f + 3166, 4*u - 2112 = -193*f + 191*f. What is the smallest common multiple of f and 248?
4216
Find the common denominator of 68/843 and 2 - (-1480)/(-48)*4/45.
7587
Let a(z) = z**2 + 23*z - 11. Let r be a(-15). Let x = r - 575. Calculate the common denominator of 19/6 and x/(-240) - 69/(-115).
24
Let d be (17886/18040)/(162/(-525)). Let a = -97/41 - d. Calculate the common denominator of a and 31/42.
504
What is the smallest common multiple of 5598 and 2088/150 + 12/150?
39186
What is the common denominator of 4/(-22) - 1159/(-4983) and (-5)/2*1552/400?
4530
Let d = 5154833/6565 - 3926/5. Let w = 624965088056/9191 + -883967550/13. Let t = w + d. What is the common denominator of t and -21/10?
70
Let l be (3 + (-4)/(-8)*-4)*-45. Let j be (-5)/l*2 + (-106)/(-9). Calculate the smallest common multiple of 6 and (16/j)/((-2)/(-6)).
12
Suppose 20 - 26 = -3*q. Suppose -4*m + t = -68, -3*m - t = -q*m - 12. Suppose 5*a = 3*a + m. What is the least common multiple of 1 and a?
8
Let w = 190 + -105. Suppose -4048*m + 8044*m + 2050 = 4037*m. Calculate the least common multiple of m and w.
850
Let o be ((-40)/(-28))/(-5) - (-772878)/(-21). Let g = o + 1766471/48. Let d = 155/24 + 19/24. Calculate the common denominator of g and d.
48
Suppose -4181 = -62*o + 6292 + 11227. What is the lowest common multiple of o and 770?
3850
Let i = 1/1409 - -9831/45088. Find the common denominator of -143/48 and i.
96
Suppose -d - k = -97, -3*d - 4*k + 292 = -0*k. Suppose -3*b + 4*y + 20 = 0, -4*b = -3*y - y - 32. What is the lowest common multiple of b and d?
96
Suppose 0 = -14*j - 11742 + 11938. What is the smallest common multiple of 549 and j?
7686
What is the common denominator of ((-4)/(-16))/(1/(-24))*14/(-6746) and -10?
3373
Let j be ((-450)/(-35))/((-4)/(-112)). Suppose 0 = -5*x + 2*k - 840, 3*k + j = -2*x - k. Calculate the common denominator of -21/2 and x/15*6/(-40).
10
Let j be (-36)/8*-1*96/9. Suppose 2*k + j = -6*k. What is the common denominator of ((-381)/k)/(1 + -23 + 4) and -119/12?
36
Let a(i) = 3*i**2 - 305*i - 2110. Calculate the least common multiple of 256 and a(110).
1280
Let u = -366 - -367. Find the common denominator of (-55)/(-33) + u*(-877)/420 and 87/4.
140
Suppose 187*x = 180*x + 42. What is the least common multiple of 1450 and x?
4350
Let u = -4054 + 1021619/252. Calculate the common denominator of u and -3/64.
4032
Suppose -20 - 80 = -4*i. Let m(f) = 2*f**3 + 5*f**2 - 10*f - 14. Let k be m(-3). Let d = i - k. What is the lowest common multiple of d and 28?
252
Let k = 8/1017 - -49337/63054. What is the common denominator of -59/651 and k?
1302
Let t(f) = f**2 - 17*f - 36. Let s be t(19). Suppose -3*o - s*u = -163, 17*u - 16*u = -o + 53. Calculate the smallest common multiple of 1 and o.
57
Let l(p) = -2*p**2 - 21*p - 10. Let n be l(-10). Suppose 9*m - 12 = -2*a + 4*m, n = -2*m. Let z(q) = q + 2. What is the lowest common multiple of a and z(4)?
6
Let y = 152027/933880 + -104/631. Find the common denominator of y and -117/40.
1480
Let h(p) = -p + 12. Let u(o) = -o**3 + 7*o**2 + 17*o - 71. What is the least common multiple of u(8) and h(5)?
7
Let m = -41956 - -6377263/152. Find the common denominator of -85/48 and m.
912
What is the smallest common multiple of 822 and 2 + 544 + 2 + 0/(-640)?
1644
Let q(w) = 66*w**2 + 3*w. What is the lowest common multiple of 35 and q(-5)?
11445
Let b = -4352 + 130657/30. Find the common denominator of -23/270 and b.
270
Calculate the least common multiple of 48*-1*184/(-69) and 412.
13184
Let n(a) = -a**2 - 10*a - 10. Let f be n(-8). Suppose f*g - 35 - 13 = 0. What is the smallest common multiple of g and 149/5 - (-9)/45?
120
Suppose -4*m = -212*m - 642045 + 8216365. What is the smallest common multiple of m and 10?
72830
Suppose -m - 2*o = -9, 4*m + 6*o - 3*o = 21. What is the least common multiple of (m + (2 - 20))*(5 + -6) and 51?
255
Suppose 5*x = -2*x + 11 + 325. Calculate the smallest common multiple of 2928 and x.
2928
Suppose -540 = -5*o + 17*o. What is the common denominator of (-138)