j + y = 7*j - 771, y = -4*j + 1028. Let u = j + -245. Calculate the lowest common multiple of 8 and u.
24
Let u(g) = 3*g + 0*g + 18 - 16 - 14. Let d be u(8). Find the common denominator of (-114)/(-8)*d/66 and 23/14.
154
Suppose 3 = 3*h, 4*h = -4*n + n + 100. What is the lowest common multiple of n and 2976?
2976
Let r be 40742/260 - (-3)/10. Suppose 0 = 17*u - r - 693. Calculate the least common multiple of 90 and u.
450
Calculate the smallest common multiple of 90 and (-14 - 1 - 33)*-30.
1440
What is the common denominator of (2 - 3836/1920)*(-1 - (-14)/4) and 17/72?
576
Let b = -14095873/45264156 - -2/198527. Find the common denominator of -71/418 and b.
2508
Let p = 253 + -2573/10. Let b = 129668126975475/5250560726 + -11/55857029. Let h = b + -24697. Calculate the common denominator of h and p.
470
Suppose 2*m = -138 + 740. Suppose m - 221 = 2*i. What is the lowest common multiple of i and 112?
560
Suppose 6 + 34 = -4*a. Let t(r) = -r**2 - 10*r + 4. Let q be t(a). Suppose q*k - 27 - 73 = 0. Calculate the lowest common multiple of 1 and k.
25
Let b(f) = 6*f + 6. Suppose -27 = -5*u - 2. Let j be b(u). What is the smallest common multiple of 11 and 225/j + (-1)/4?
66
Let f = 23971/774 + -1014/43. Let l = -2974/9 + 30379/90. Find the common denominator of l and f.
90
Let j(x) = -255*x + 520. Suppose -1 - 1 = v - 2*h, -2*v = -h - 8. What is the lowest common multiple of j(2) and v?
30
Let b(h) = -h**2 + 3*h - 4. Let q be b(0). What is the least common multiple of 27 and 1 - q - (2 - 31 - -7)?
27
What is the common denominator of (8 + (-564)/71)*(-119)/63 and 17/2130?
6390
Let o = 22547/12 - 1871. What is the common denominator of 4/(24/(-245))*((-37)/222 - 140/(-975)) and o?
156
Suppose 13*j - 6785 = -2349 + 4716. What is the lowest common multiple of 576 and j?
6336
Suppose -2*j + 27 - 19 = 0. Suppose -27 = j*l + 21. Calculate the smallest common multiple of 6 and l/(1/(-10)*(-28)/(-7)).
30
Suppose 17 = -6*k - 49. What is the smallest common multiple of 676 and 1*(7 + k)*(-18)/4?
6084
What is the smallest common multiple of 4104 and (-182)/(-10) + (-12 - 354/(-30))?
4104
Let c(t) = -82 + 2*t + 20 + 27 + 23. Let b = 11 - 1. Calculate the smallest common multiple of c(7) and b.
10
Suppose -r = -0*r - 40. Let s(m) = -m**2 - 47*m + 394. Calculate the lowest common multiple of r and s(-54).
80
What is the common denominator of 77/78 and (-24)/(-156)*13 + (-5468)/2496?
624
Let v = 348 + -314. Suppose 0 = v*l - 36*l + 28. What is the smallest common multiple of l and 146?
1022
Suppose -30 = -7*b - 3*b. Let j(i) = -i + 1 + 9*i - 5 + 2. What is the smallest common multiple of 16 and j(b)?
176
Let u = -4290169/175 - -24515. What is the common denominator of u and -51/1250?
8750
Let h = -178 - -193. Suppose 0 = 10*o + 14 - 64. What is the lowest common multiple of h and o?
15
Suppose 257*j - 50880 = 45*j. What is the least common multiple of j and 3600?
3600
Let j be (-2201)/(-3) - (-8)/6. Let g = -19861/27 + j. Calculate the common denominator of -15/2 and g.
54
Let r = -11501/6 - -1906. What is the common denominator of ((-486)/(-810))/((-3)/53) and r?
30
Suppose 2*g + 8407 = 5*q - 2792, -4*q = -g - 5604. Let w = 3735 + g. Let n = 12962/7 + w. What is the common denominator of 40 and n?
7
Let c = -942897 - -4033713403/4278. What is the common denominator of c and 133/372?
8556
Suppose -5*d - 3*q + 7890 + 3926 = 0, -3*d + 5*q + 7110 = 0. What is the smallest common multiple of d and 86?
4730
Let a be 1 - (-4 + 78158767/(-333)). Let q = -234715 + a. Let f = -16/37 - q. Find the common denominator of 93/8 and f.
72
Let j(y) = 41*y**2 - 2*y - 4. Let r be j(-3). Let t = r + -721/2. Calculate the common denominator of -3/91 and t.
182
Let h(n) = -n**2 + 15*n + 4. Let w be h(16). Calculate the smallest common multiple of 11 and (-5268)/(-48) + (-3)/w.
110
Let j = 302753/96452 + -2/217017. Let y = 1278563/81 + -15784. What is the common denominator of j and y?
324
Let i = 83 - 92. Let t be 381/4 + i/(-12). Calculate the smallest common multiple of 9 and t/(-36)*15/(-4).
90
Let o = 55 + -92. Let t = o - -39. Find the common denominator of -41/34 and 1150/280 - (-2)/(28/t).
68
Suppose 2*o - 5*l - 7 = 0, 3*o = -0*o - 5*l - 27. Let h be 2/o*-2*12/4. Suppose 0 = v + 3*x - h, 2*x + 3 - 1 = 0. What is the least common multiple of 19 and v?
114
Let l(f) = f**2 - 9*f + 9. Let c be l(3). Let i = 1271/8 - 21755/136. Calculate the common denominator of i and (c/84)/((-28)/(-931) - 0).
272
Let z(j) = 15*j**2 + 3*j. Let w(t) = -t**2 + 7*t - 1. Let a be w(7). Let r be z(a). Calculate the lowest common multiple of 2 and (-9)/(-2)*(-10 + r).
18
Suppose -4*p - 8*d = -3*d - 25, 3*d + 17 = 4*p. What is the least common multiple of 42 and 26 + (4 - 1 - p)?
168
Let x(k) = 2*k**3 - 15*k**2 + 13*k - 27. Let m = 569 - 562. Calculate the smallest common multiple of 234 and x(m).
1170
Let j be (-219)/(-3)*(-4 + 2 + 7). Suppose 4*b = -j - 511. Calculate the common denominator of b/(-60) + 24/16 and 151/18.
180
Let x(r) = 35*r - 2. Let a be x(-4). Let q = 14097/4 - 140959/40. What is the common denominator of (2/72*a)/(-2) and q?
360
Suppose 0 = -39*k + 8*k + 51 + 11. What is the least common multiple of (-3 - 1*-1)*-3 and k?
6
Let x be 0*(2/12)/(22/(-33)). Let t = 13 + -9. Suppose 5*j - 2*w = 9 - x, -15 = -t*j - w. Calculate the smallest common multiple of j and 6.
6
Let x(k) = 7*k + 178. Let i be x(-36). Let a = 657/8 + i. Find the common denominator of 43/180 and a.
360
What is the lowest common multiple of 225*12*(-6)/(-54)*(2 + -1) and 84?
2100
Suppose -37*s - 57770 = -143*s. What is the lowest common multiple of 50 and s?
5450
Suppose 21*s - 231 - 24 = 249. Calculate the lowest common multiple of 216 and s.
216
Suppose 0 = -3*o + f + 13990, -2*o = 15*f - 650 - 8802. Calculate the smallest common multiple of 2 and o.
4666
Suppose -2*x = -60*q + 62*q - 1178, -4*q + 4*x + 2412 = 0. What is the lowest common multiple of q and 21?
12516
Let c = -1727/25 + 162967/2400. Find the common denominator of c and -1*5 - (-13 - (-3232)/360).
1440
Let s = 2297 - 18415/8. Suppose -7*z - 109 = 11336. Let p = z - -8228/5. Find the common denominator of s and p.
40
Let t(h) = h**2 - 61*h + 802. What is the smallest common multiple of t(17) and 77?
4158
Let h(x) = -x**3 + 31*x**2 - 27*x - 74. Let u = 117 + -81. Calculate the least common multiple of h(30) and u.
144
Let o = 2421 - 933. What is the least common multiple of o and 558?
4464
Let w(o) = -29*o + 25. Let l be w(7). Let z = l + 187. Calculate the smallest common multiple of z and 24.
72
Let l = -22 + 23. Let u be -3 - 34 - l*-4. Calculate the common denominator of ((-6)/4)/(u/(-154)) and -34/3.
3
Suppose -2*m + 5*m - 168 = 0. Let k = m + -54. Calculate the common denominator of -41/20 and k/60*3*(-38)/10.
100
Let i(m) = -m**3 + 9*m**2 - 3*m + 20. Let k be i(8). Suppose 11*y - 5*y = k. Calculate the least common multiple of y and 10.
10
Let l = -886847/15720684 - -160/8137. Find the common denominator of l and -149/756.
17388
Let o be -4 - (9/3 - (284 - 4)). Let z = -241 + o. Calculate the smallest common multiple of z and 18.
288
Let i(r) = 5*r + 19. Suppose -6*k = 25 - 1. Let j be i(k). Find the common denominator of j - 4 - (-248)/217 and 7/10.
70
Let q(r) = 226*r**2 - 22*r + 49. What is the smallest common multiple of q(2) and 9?
909
Suppose -2*w - 1496 = -5*n - 5*w, -3*w = 4*n - 1198. Let z = -243 + n. What is the least common multiple of 33 and z?
165
Let t be 33/2002*(-1 - 996/(-81)). Let p = t + 3/364. Find the common denominator of 115/18 and p.
36
Let f = -6/11 - 133/99. Let l = -24381/10 + 4481/2. Let m = l + 8612/45. What is the common denominator of f and m?
9
Suppose 5*c = 5*i + c - 121, -4*c = -3*i + 71. Let g = -44834 + 44884. What is the least common multiple of g and i?
50
Suppose 128*a - 62930 = 3210 + 17828. Calculate the least common multiple of a and 64.
2624
Find the common denominator of -31/27 and (-613769)/68262 - (16/(-2) - 1).
19818
Let f = 31 + -83. Let c = 401347/18 - 22291. What is the common denominator of c and (f/(-32))/(0 + -2)?
144
Let v = 1 - -3. Suppose 0 = -199*u + 213*u + 168. Calculate the common denominator of -44/3 and v/24*(-1 - (-124)/u).
9
Let n be (33/(-55))/(1/15). Let k(z) = z**2 + 6*z - 7. 