094*t - 1632 = 3077*t. Calculate the lowest common multiple of 132 and t.
1056
Let l = -7826407303/4403 + 1777517. What is the common denominator of l and 62/833?
30821
Let a = -1395 - -2236. Let u = -5017/6 + a. What is the common denominator of 43/16 and u?
48
Suppose -69 = -2*i - 25. Suppose 3*g = -s + 1015, -3*g - 77*s + 987 = -80*s. What is the least common multiple of g and i?
3696
Let g(a) = -2*a**2 - 25*a - 14. Let u be g(6). What is the common denominator of u/10 - 12/30 and -111/10?
10
Let h(b) = 6*b + 69*b + 59 - 9*b**2 + 11*b**2. What is the smallest common multiple of 99 and h(-37)?
198
Let f be (-6)/((-3)/(-3)) + 4217642/167700. Let j = 18/1075 + f. Calculate the common denominator of 1/(-6)*78/(-27) and j.
54
Suppose -8*q + 37 + 75 = 0. Suppose 499 = -q*f + 2011. Calculate the smallest common multiple of f and 2.
108
Suppose -9*j + 11*j = 30. Suppose -3*d = -j, -4*d + 51 = 3*q - 29. Calculate the lowest common multiple of q and 128.
640
Let m = 318319/48 - 6634. What is the common denominator of 61/368 and m?
1104
Let j = -336 + 203. Let q be j/(-112)*((-206)/(-42) + 0). Let n = -29/48 - q. Calculate the common denominator of n and -63/10.
70
Let r(v) = 5*v + 47. Suppose -z = 5*b - 46, 5*z + 0*z - 3*b - 230 = 0. Suppose 43*w - 27 = z*w. Calculate the least common multiple of 4 and r(w).
4
Let z = 30949/106056 + -2/13257. What is the common denominator of (-4)/(-1) - (-394)/(-66) and z?
264
Suppose 0 = -5*k + 4*l + 26, 7*k - 2*k = -2*l + 2. Suppose -k*a + 23 = -5. Suppose -2*v + 17 - 5 = 0. What is the least common multiple of v and a?
42
Let c(a) = -2*a - 6. Let o be c(-6). Suppose 2*j = -2*y - 20, -y + 96*j - 15 = 98*j. Let i = y + o. Calculate the lowest common multiple of i and 7.
7
Let u = 66648650213/11568 - 5761467. Find the common denominator of u and -79/36.
34704
Suppose g + 7 - 112 = 0. Suppose 5*v + g = 130. What is the least common multiple of 35 and v?
35
Let h be 1/(4/47748) + -2. Let n = 143123/12 - h. Calculate the common denominator of ((-74)/555)/(4/(-157)) and n.
60
Let r = -34935 - -2515363/72. What is the common denominator of 1/66 and r?
792
Let w = -124 + 75. Let s = -48 - w. Calculate the lowest common multiple of 24/(-14)*(-6 - s) and 33.
132
Let r = -4666939/60 - -77785. Calculate the common denominator of r and 74/180 + (-4)/(-18).
60
What is the common denominator of (0 - (-166)/141) + -1 and ((-7024)/(-35559))/(24/54)?
423
Let a(k) = k**2 - 25*k + 89. Let q be a(4). Suppose 7*d - 90 = -3*f + q*d, 0 = -5*f - 2*d + 150. Calculate the least common multiple of f and 20.
60
Suppose -130*h + 205*h - 11223 = 39177. What is the smallest common multiple of 105 and h?
3360
Calculate the common denominator of (-3)/15 - 147/40 and 1*2/30*345*(-2)/(-20).
40
Let m = -128263/16 + 8014. Find the common denominator of -25/392 and m.
784
Let p = -140899/48 + 2934. Find the common denominator of (-695)/360 - (0 - (3 + 1)) and p.
144
Suppose -5*j - 5 = k, -4*k = -6*k + 5*j + 35. Let u = -744 - -891. Suppose 1654*o - u = 1647*o. What is the least common multiple of o and k?
210
Let g = 646 + -658. What is the common denominator of 47/56 and (2/(-12))/(g/(-81))?
56
Let u(q) = 2*q**3 + 16*q**2 + 40*q + 188. What is the smallest common multiple of u(-7) and 978?
978
Suppose -27*c - 1344 = -51*c. Suppose -7*f + c = -21. What is the least common multiple of f and 377?
4147
Let r = 13982681/138 - 101323. Calculate the common denominator of 14*(-1)/(-60)*-5 and r.
138
Let j(i) = -13*i**2 - 81*i + 2. What is the lowest common multiple of j(-6) and 64?
320
Let r = 41 + -13. Suppose -4*w = -0*w - 8, -4*w - r = -3*n. Calculate the smallest common multiple of 44 and n.
132
Let q be ((-4)/(-12))/(-1) + 58/(-54). Let n = -1549/108 + q. What is the common denominator of 61/16 and n?
16
Suppose -4*i - 36 = -i - 3*k, 0 = 4*k + 12. What is the common denominator of (-2528)/640 - (1 - 11) and (-229)/i - 9/15?
60
Let h = 12251 + -441113/36. Let v = 4478 + -13405/3. Find the common denominator of h and v.
36
Calculate the common denominator of -107/30 and ((-23)/(15295/(-1358)))/(236/(-10) + 2).
5130
Let d(p) = p**3 - 24*p**2 - 23*p + 82. Calculate the smallest common multiple of d(25) and 22.
132
Suppose -3*v + 4*b + 4290 = 0, 0 = -138*b + 135*b. Calculate the lowest common multiple of 143 and v.
1430
Let x = 130 + 58. Let j = 201 - x. Calculate the smallest common multiple of 10 and j.
130
Suppose -2 = -b - 0. Suppose -x - 273 = -5*v, -32 = -v - b*x + 16. What is the least common multiple of 12 and v?
108
Let w(p) = 442*p**2 - 253*p + 1. Calculate the lowest common multiple of w(-1) and 1160.
3480
Suppose 92 = 3*s + q, 2336*s = 2337*s - 3*q - 14. What is the smallest common multiple of s and 1334?
1334
Suppose -71*u + 2571 + 2044 = 0. Calculate the least common multiple of 265/u - 5/65 and 150.
300
Let c(y) = 2*y**3 - 8*y**2 - 11*y + 17. Let s be c(5). Let m = s + -8. Suppose -2*a + 41 = 5. What is the least common multiple of a and m?
36
What is the common denominator of (-480)/(-144) - 507/(-72) and -13/250?
1000
Let b be 1014/21 - (-6)/(-21). Calculate the common denominator of 22/(-24) + b/(-32) and (-57)/(-40) - 4/10.
120
Let a be (-10)/15 + 2153/(-24) - -3. Let y = a + 3051/40. What is the common denominator of (-10 + -124)*(-2)/680 and y?
170
Let d = -24497/10 + 2454. Let j = -11043 + 331273/30. What is the common denominator of d and j?
30
Let i be 1 - 16736/(-68) - (-2)/(-17). Let l(f) = 1 + 2 + i*f - 239*f. Calculate the least common multiple of l(1) and 54.
594
Let c(o) = -o**2 - 2*o + 5. Let z(b) = b**2 - 6*b - 3. Let f be z(6). Let k be c(f). Calculate the least common multiple of k/(40/(-12) - -4) and 8.
24
Find the common denominator of -83/94 and 3 + ((-540)/(-55) + -5)/(-1).
1034
Let w(d) = 14*d - 21. Let v be w(-4). Find the common denominator of v/(-8) - (0 + 3) and 10/(-8)*89/(-5).
8
Let o(f) = -15*f**3 - 3*f**3 - 12*f**2 + 13*f**2 - 1. What is the least common multiple of o(-1) and 60?
180
Let r(y) = y**3 + 12*y**2 - 29*y + 19. Let i = -148 + 134. Let u be r(i). Suppose -4*w + 81 - u = 0. What is the smallest common multiple of 12 and w?
12
Suppose 3*v + 4*z + 1340 = 0, 3*z = -4*v - 0*z - 1789. Let r = v + -382. Let w = r + 4188/5. Find the common denominator of 133/12 and w.
60
Let c = 727214 - 621767891/855. Find the common denominator of c and -2/1045.
9405
Let a(m) = 17*m**2 + 15*m - 4. Let j be a(-4). Suppose -188 = -3*i + j. Calculate the least common multiple of 10 and i.
660
Suppose -2*r - 3*r - 5 = 0, 4*k + r = 127. Calculate the least common multiple of k and (2584/(-133))/(9 + 12/((-336)/260)).
544
Calculate the smallest common multiple of ((-413)/177)/((-2)/564) and 423.
5922
Suppose -93 + 57 = -4*q. Suppose 4*j - 4 - q = -v, -4*j + 12 = 0. What is the lowest common multiple of 5 and -75*((-4)/12)/(v - 0)?
25
Let d(g) = 16*g - 62. Let l be d(7). Find the common denominator of -47/18 and l/(-75) + (-2 - (-1790)/876).
1314
Let p = 3895/4 + -1406115/1444. Find the common denominator of -73/10 and p.
3610
Let i be (-19446)/(-639) - (-5)/3. Let r = -668649/20590 + i. What is the common denominator of r and -33/10?
290
What is the least common multiple of (21 - -313) + 12/(4 - 7) and 8?
1320
What is the common denominator of (18/(-48))/((-13557)/1212 + 11) and -3/1285?
12850
Calculate the common denominator of 6*9/6210*64 and (157/(6 - 7))/(0 - -30).
690
Let m(a) = -a**2 - 4*a. Let f be m(-3). Suppose f*h = 12, -o + 6 + 30 = 3*h. Calculate the lowest common multiple of o and 4/(-38) - (-1530)/95.
48
Let t be (-4)/22 + 320289/(-110). Let j = t + 2908. Calculate the common denominator of 6/6 + -4 + (-1341)/(-90) and j.
10
Let n = 18831 + -25. What is the least common multiple of 6 and n?
56418
Let v = -14192 - -14234. What is the smallest common multiple of v and 5346?
37422
What is the lowest common multiple of 198 and (-9984)/(-78) + (1 - 12)?
2574
Let t = 15 + -29. Let i be (-178)/t + (-4)/(-14). Suppose 7*h = i + 8. Calculate the least common multiple of h and 1.
3
Suppose -b = 4*w + 16, -2*w - 3*b = 3*w + 20. What is the common denominator of 29/27 and 300/80*w/18?
54
Let r be -7 - -49 - (6 - (-1 + 1)). Suppose 3*z + 2*q - 27 = 4*q, -4*z + 5*q = -r. Calculate the lowest common multiple of z and 141.
423
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