40 = k, -2*k + m + 35 = 2*m. Suppose -k*u - 350 = -10*u. Find the common denominator of -35/2 and 1 - (5/(u/(-152)) - 3).
14
Let n = -44 - -40. Suppose 3*i - 35 = 73. Find the common denominator of -74/3 and (-182)/i + n + 50/15.
18
Suppose 2454 = -5*g + 3174. Calculate the lowest common multiple of g and 144.
144
Let y be (-16406)/40 - 10/(-25). Let p = y + 407. What is the common denominator of p and 126/540 + (-21)/9?
20
Let b = 896 - 696. Suppose -1124 + b = -7*j. Calculate the smallest common multiple of j and 30.
660
Suppose m = -0*m - 6. Find the common denominator of 10/(-120)*-63 - (7 - 2) and (-60)/100*(-46)/m.
20
Let j = -1258905/49 + 25691. Find the common denominator of j and -55/294.
294
Let o = -3/654413 + -45804419/979656261. Calculate the common denominator of o and 2/5.
7485
Let j(k) = -k**2 - 8*k + 32. Let y be j(6). What is the smallest common multiple of (16/6)/(y/(-468)) and (-284)/(-14) + (-10)/35?
120
Suppose -m = -12*m - 627. Suppose 2*z = -80 - 14. Let j = z - m. What is the lowest common multiple of 12 and j?
60
Suppose -j + 21*n + 27 = 24*n, 42 = 3*j - 4*n. Let h(y) = -4*y - 3. What is the least common multiple of j/(-60) - 223/(-10) and h(-2)?
110
Suppose 21781*k - 21789*k = -2112. What is the smallest common multiple of k and 264?
264
What is the common denominator of 6 + (-1020)/144 - (-9 + 6) and -31/1164?
1164
Suppose f - 2987 = 2*f. Let l = 4629 + f. Find the common denominator of -27/28 and l/(-84) + 2/(-7).
84
Let x = -843915635/1588 - -531433. Calculate the common denominator of x and 37/4.
1588
Let k(x) = 4*x + 0*x - 6 + x**2 + 9 - 6. Let h be k(-5). Suppose 0 = h*g + 10, c + 2*c - 71 = g. What is the smallest common multiple of c and 12?
132
Let g = 95 - 100. Find the common denominator of g + (-31)/(-6) - (-38)/9 and 85/2.
18
Let u be (-1107138)/216*-2 + 3. Let r = -10246 + u. What is the common denominator of r and 17/27?
54
Let z be -6 + (6 - (-9)/3). Calculate the smallest common multiple of 49 and (17/(102/(-280))*z)/(-2).
490
Let i = 21/22777 + 2966399/18859356. Let p = 3/23 - i. Calculate the common denominator of -11/12 and p.
36
Find the common denominator of -29/2217 and (-15 - -2) + (-2628)/(-108).
2217
Suppose -120*r - 1020 = -135*r. Calculate the lowest common multiple of r and 4.
68
Let q be 29812/(-17490) - (-8)/6. Let n = -2/265 - q. What is the common denominator of n and 64/77?
77
Let q = 37016717/460 + -80471. What is the common denominator of 1/2622 and q?
26220
Suppose -3*j = 6*j - 1134. Suppose 17*o = -2*o - 9*o + 616. What is the lowest common multiple of o and j?
1386
Let v = -1483 - -1593. What is the smallest common multiple of 70 and v?
770
Calculate the common denominator of 101/1926 and 20/6*4515/(-515312).
7704
Let a(j) = 2900*j - 6. Let y be a(8). Let r = y + -695659/30. Find the common denominator of r and -23/9.
90
What is the smallest common multiple of -2 + 14/(2/14 - (-68)/(-574)) and 88?
1144
Let s(w) be the first derivative of -w**4/4 - 3*w**3 - 13*w**2/2 + 9*w - 16. Let i be s(-7). Find the common denominator of (-7 + i)/(3/(-5)) and -15/11.
33
Suppose 42 = -3*y - 3*q, 2 = -3*q - 4. Calculate the common denominator of ((-2)/y)/(10/(-444)*4) and 85/208.
1040
Suppose -8*q + 2421 = -19. Let w = -298 + q. What is the smallest common multiple of w and 10?
70
Let f = 48 + -38. Suppose -l - 5 = -2*l - 3*k, -3*l - 4*k = -f. Let q(z) = -z**3 + z**2 + 2*z + 2. Calculate the least common multiple of 3 and q(l).
6
Let r = -19915 - -19919. Calculate the lowest common multiple of 787 and r.
3148
Suppose 202*d - 35098 = -16*d. What is the lowest common multiple of 92 and d?
644
Let m = 633516/7 - 3952163/42. Let o = -3589 - m. Calculate the common denominator of (-20 - 10395/(-504))*424/70 and o.
42
Suppose 271*l - 338 = -2*x + 273*l, 5*l + 5 = 0. What is the smallest common multiple of 2541 and x?
20328
What is the lowest common multiple of 2026 and 4*-5*(-26)/65*2?
16208
Let o = 54 - 67. Let z(f) = f**3 + 13*f**2 - f - 6. What is the lowest common multiple of 6/30*(-15)/(-3) and z(o)?
7
Let g = -8164 + 195919/24. What is the common denominator of g and -109/252?
504
Let d = -431867122852/211 + 840026467140508559/410416944. Let x = 881/4962 + d. Let p = x + 198/49. Calculate the common denominator of 85/8 and p.
16
Suppose 160 = -w + 6*w. Let y be (-129)/2 - 16/w. Let l = y - -77. Calculate the least common multiple of l and 12.
12
What is the common denominator of -1*11/(-11) + (-20)/(-264) and 179/150?
1650
Let l(s) = s**3 + 17*s**2 - 52*s + 3. Let r be l(-19). Let d = -255 + r. What is the smallest common multiple of d and 14?
14
Let z be ((-5)/1305*-6)/(1/(-9)). Let t = z - 1524/203. Find the common denominator of t and 18/(-69)*-7 + 0.
161
Suppose 98*i = 83*i + 18285. Let b = 2654341/6 - 443631. Let m = i + b. What is the common denominator of -31/10 and m?
30
Let z(r) = -8*r + 3. Let x be z(3). Let c = 4 - x. Let b = 72 + -68. Calculate the least common multiple of b and c.
100
Suppose -2*o - 119 = -q, 3*q = -3*o - 0*o + 384. Let k = 163 - q. What is the least common multiple of k and 1?
38
Calculate the common denominator of 91/120 and (-8518)/1560 + (-1331)/(-242).
1560
Let z(g) = -2*g + 145. Let v be z(0). Let s(i) = 68 - i**3 - 8*i - v + 69 - 7*i**2 + 0*i**3. What is the lowest common multiple of s(-6) and 20?
20
Suppose -30 = h + 53. Let z = h + 358/5. Calculate the common denominator of z and 59/32.
160
Let y = -206/9 - -1507/45. Calculate the common denominator of (-21 - -1)*(472/(-416) - -1) and y.
65
Let x = 129 - 212. Let t = -1025/12 - x. What is the common denominator of ((-2)/45)/(2/(-160)) and t?
36
What is the common denominator of (5/(-10))/(675/(-3960)) and 28/201?
1005
Calculate the common denominator of 61/1800 and ((121/12)/1)/(2105/(-15) - -7).
14400
Let g(l) = 2*l**2 - 15*l - 8. Let b be g(6). Let i = -21 - b. Suppose -u - i*x + 7 = 3, 4*u + 4*x = 32. What is the lowest common multiple of u and 33?
99
Let k = 13193 + -12465. Calculate the smallest common multiple of 4 and k.
728
Let u(x) = -6*x**2 - x + 2. Let w be u(1). Calculate the smallest common multiple of w + (-18)/(-2) + 44 and 12.
48
Let y be -1 + 9 + (32688/12)/6 + 14. Let l = 0 + -3. Calculate the common denominator of (12/(-40))/((-1452)/y - l) and 89/60.
60
Let h(q) = 4*q**2 - 2. Let j be h(-1). Calculate the least common multiple of 12 and (9 - 2)/(j/8).
84
Let q be (-1*4*1)/((-78)/39). Find the common denominator of (2 + (-102)/10)/2 and ((-9)/q - -3)*(-170)/(-120).
40
What is the common denominator of -55/36 and 817/(-114)*1/158?
2844
Suppose 0 = 4*s + 2*x + 18 - 86, 4*s - 4*x = 80. Suppose 13*i + s = 22*i. Calculate the smallest common multiple of 112 and i.
112
Calculate the smallest common multiple of ((-6)/(72/3822) + 2)*-2 and 2.
1266
Let w = 18 - 10. Let q(a) = -a**3 + 10*a**2 - 8*a + 8. Let m(x) = -x**3 + 133*x**2 - 3*x + 417. What is the least common multiple of q(w) and m(133)?
72
Let x be 2/2 + 2*2. Suppose -x*p = 131 - 356. Calculate the least common multiple of p and 12.
180
Let f be (7/40*422)/((-531)/97822). Let q = f + 13606. Find the common denominator of q and -23/81.
810
Let m = -24413/9 + 2716. What is the common denominator of (-4)/(-122)*(-6)/(24/94) and m?
549
Let m(d) = 2*d**3 + 5*d**2 - 7*d + 3. Let o be m(3). What is the common denominator of 22/27 and ((-17)/o)/(18/54)?
27
Let k = -109 + 169. Let o(t) = -k - 181*t**3 - 11*t + 20 + 180*t**3 + 15*t**2. What is the lowest common multiple of o(14) and 3?
6
Suppose -5966 = -24*h + 222874. Find the common denominator of 127/6 and (h/(-1260) - -6) + -1 + 3.
252
Let l = -159238/45 - -3545. Let m = -53/75 + -257/450. Let s = m + l. Find the common denominator of -33/10 and s.
10
Calculate the common denominator of ((-31632)/18)/2*(-6)/(-1248) - -4 and 43/72.
936
Suppose 1329 - 423 = 35*z - 2279. What is the smallest common multiple of 91 and z?
91
Suppose 0 = -5*r + 20 + 10. Let d = 2 + r. What is the smallest common multiple of d and 3*(-3)/9 - 40/(-4)?
72
Let x = 170092 - 30616387/180. Calculate the common denominator of -13/40 and x.
360
Let z = 28 - -21. Suppose -5*c - 2*c = -z. Suppose c*w - 39 = 3. Calculate the least common multiple of w and 12.
12
Let t = 38940705238161/35572210 + -2605538099/2389. Let i = 2