uppose 2*v + 5*s = -3*v + 20, 4*v = 2*s + 46. What is the least common multiple of t and (3/v)/((-3)/(-27))?
33
Let h = -3092/7 + 111389/252. Calculate the common denominator of h and 4074/12416*-2*(14/6 + -2).
288
Suppose -3*m = -76 - 32. Let q = m - -72. Calculate the lowest common multiple of 5 and q.
540
Let k = -240 - -57. Let q = k - -188. What is the lowest common multiple of -6*1/(1 + -2) and q?
30
Suppose 2*k = 3*s - 274, -1 = s + 3*k - 74. Let i = 69 + -37. Calculate the lowest common multiple of s and i.
352
Let y = 53 + -30. Suppose 3*u - 10 = 2*b + 36, u = 5*b + 11. Let d = y - u. What is the lowest common multiple of 11 and d?
77
Let m = 77099 + -243660. Let r = m - -80948699/486. Calculate the common denominator of r and 29/2.
486
What is the common denominator of 21/296 and (-2)/(-5) - (18 + 207991/(-11760))?
12432
Let b(p) = 3*p**2 - 53*p - 270. Calculate the least common multiple of 2120 and b(22).
4240
Let h(z) = z**2 - 17. Let k be h(8). Suppose 5*q + k = 82. Suppose -6*m = -q*m + 22. What is the least common multiple of 16 and m?
176
Let y(r) = 2*r - 52. Let f be y(29). Suppose 0 = 2*d + 5*s - 12652, f*d - 31630 = d + 2*s. Let t = d + -38053/6. Find the common denominator of t and 58/27.
54
Calculate the common denominator of (28/80)/((-1)/(-4)) and 11/55 - (-2253)/(-2940).
980
Let d be (24/(-52))/3 + 290/(-481). Let o = d + 1240/1443. What is the common denominator of o and -37/21?
273
Find the common denominator of 6 + -2 - (-5)/42*(-12)/(-20) and (-2)/(-4) - 94/18.
126
Let q(f) = f**3 - 76*f**2 + 215*f + 325. Calculate the least common multiple of q(73) and 176.
528
Suppose -7*o = -0 + 42. What is the common denominator of (-5553)/(-1824) + (-9)/o*-2 and 17/4?
608
Let z = -38 + 34. Find the common denominator of (-1)/48*(1 - 75/(-35)) and ((z/(-10))/2)/((-24)/(-50)).
168
Let f = -26 + -4. Let n be (-380)/f - (2 + 7/(-3)). Suppose 5*s = 5*b - 3 + n, 3*s - 8 = 2*b. What is the lowest common multiple of b and 20?
20
Let o(u) = -2*u - 9. Let y be (-346)/(-8) + 9/12. Let r = y - 35. What is the least common multiple of r and o(-15)?
63
Let i = -1927/3 - -629. Let q = 1/1157 + -22029/53222. Find the common denominator of q and i.
138
Suppose 5*c + 0*i = 3*i + 56, -4*i - 48 = -4*c. Let j(p) = -3*p**2 + 17*p + 2. Let g be j(3). Let y = 55 - g. What is the smallest common multiple of c and y?
290
Suppose 3208*z - 3204*z = 248. Suppose -a - 14 = 2*d - z, 24 = d + 4*a. Let k(q) = 2*q**2 + 2*q - 2. Calculate the lowest common multiple of d and k(-3).
120
Suppose 3*l = -2*g + 3, -4*l = -2*g + 3*g - 9. Let p(a) = -4*a**3 - 376*a**2 + 9. Calculate the lowest common multiple of p(-94) and l.
9
Suppose -d - d = 3*a - 668, 1368 = 4*d - 2*a. Let u = d - 329. What is the lowest common multiple of u and 82?
902
Suppose 10 = m - 2*a, 683*m + 4*a + 34 = 686*m. Calculate the smallest common multiple of (-374)/(-4) - 2/(-4) and m.
658
Suppose -4*j + 3*j = -15. Suppose -b - 5 = -2*l, -l + 4*b - b = -j. Suppose l = -11*u + 12*u - 18. Calculate the least common multiple of 6 and u.
18
Let t = -10713 - -835607/78. Find the common denominator of t and 55/5031.
10062
Let o = -376828951/80333672 + 4/528511. Let j = -9/152 + o. What is the common denominator of j and 1/3*(-231)/(-8)?
8
What is the lowest common multiple of (-74 + 54)/(15/(-78)) and -2*(1 + 82/(-4))?
312
Let s = 65709453 - 2167953677/33. Let l = s - 13886. What is the common denominator of l and -43/5?
165
Let a = 82106/25725 - 242/75. What is the common denominator of a and 82/63?
3087
Let s = -346 + 370. Calculate the least common multiple of s and ((-3)/(-10)*16)/((-252)/(-1680)).
96
Let u(d) = -25*d - 28. Let h be 3 - 324/14 - 1/(-7). Calculate the smallest common multiple of u(h) and 8.
472
Let j = -2677 - -16001/6. Let h(w) = w**2 + 9*w - 3. Let k be h(-9). What is the common denominator of j and (21/(-6) - k)/(3/134)?
6
Let b(v) = 5*v + 29. Let a be b(-5). Let q = 3388 + -149091/44. Find the common denominator of q and (3 - 286/24) + a.
132
Let h(l) = 3*l**2 - 47*l + 2. Suppose -48*y + 450 = -43*y. Calculate the lowest common multiple of h(16) and y.
90
Suppose 73*a - 82*a - 3834 = 0. Let n = -576 - -6845/12. What is the common denominator of n and ((-49)/(-1617))/(4/a)?
132
Let q = 89 + -85. Let v(y) = -y**3 + 4*y**2 + 2. Let m = 3 - -6. What is the smallest common multiple of m and v(q)?
18
Let b be 1 - 3908/(-192)*3. Let o = -4907/80 + b. Find the common denominator of -49/40 and o.
40
Suppose 2408 = -104*n + 108*n. Let a = n - 3012/5. What is the common denominator of -36/11 and a?
55
Suppose -3*r - 1 = -k + 6, 4*r - 35 = -5*k. Let i(d) = d**2 - 316*d - 1931. What is the smallest common multiple of k and i(-6)?
7
Let a(b) = -48*b + 35 + 13 - 51*b + 101*b. Calculate the lowest common multiple of a(-7) and 16.
272
Suppose 6*o + 10 = o. What is the smallest common multiple of 3 + (117/45 - o/5) and 25 - (27/3)/3?
66
Let l = -171/50 - 1077/25. Find the common denominator of -53/720 and l.
720
Suppose -2*y - 5 = 5*u, 4*y + 4*u = 10 - 14. Suppose 4*j + 5*f - 57 = y, f - 13 = -7*j + 6*j. What is the lowest common multiple of j and 4?
8
Let f = -8 + 70. Let a = f + -108. Let u = -244165/52 + 18767/4. What is the common denominator of a and u?
26
Let h = 41010289687/7776 + -5273957. What is the common denominator of -75/8 and h?
7776
Let s = 1086/36785 + -1/1051. Find the common denominator of s and -31/150.
1050
Calculate the common denominator of ((-1)/(-3) + 14)/((-440)/15) and -107/338.
14872
Suppose 2*v = -5*k + 63 + 29, -4*k - 8 = 0. Let i be v/((6/7 - 0) + -1). Find the common denominator of (-2 - i/54) + 1 and -151/30.
90
Let m = -3557509/63 + 56467. Find the common denominator of (-6)/3 - 0 - (-3)/(945/985) and m.
63
Let v = 114 + -126. Let h(m) = m**2 + 8*m - 22. Let s be h(v). Let k(a) = a**3 - 27*a**2 + 29*a - 42. Calculate the smallest common multiple of 2 and k(s).
36
Let v be -28 - (-7 + (-28)/(-4)). Calculate the least common multiple of 6 and (24/v)/(6/(-56)).
24
What is the common denominator of ((-44)/(-64152))/(801/399 + -2) and 101/72?
5832
What is the least common multiple of 4/7 + ((-1098)/(-14) - -1) and 56?
560
Let l = -7564 - -121071/16. What is the common denominator of 51/220 and l?
880
Let f = -22673/18 - 6722/9. Let t = -1970 - f. Find the common denominator of 82/117 and t.
234
Let m = -17 + 21. Suppose -5*h + m*d + 4 = -h, -4*h + 3*d + 5 = 0. What is the common denominator of 1*(1 + h) + (-3978)/432 and 19/33?
264
Let p = 4647 - 46423/10. Let m = -23/144 + 4171/720. Find the common denominator of m and p.
30
Calculate the common denominator of ((-34)/18 - -2)*3854/820 and -107/180.
180
Let w = -25 + 34. Suppose -39*g = 72*g - 777. What is the smallest common multiple of w and g?
63
Suppose 2*d - 6 = -4*x - 4, 3*x = 2*d + 19. Suppose 4*q + m = 81, q - 4*q = -x*m - 57. What is the smallest common multiple of q and 106?
1060
Suppose 3*w = -2*f + 501, 5*w = -62*f + 63*f - 257. What is the least common multiple of f and 504?
504
Let s be 7 - 712/104 - (-1096)/(-26). Suppose -2*p - p = 198. Let h = s - p. What is the least common multiple of h and 22?
264
Suppose -b = -0*j + 2*j + 2, -3*b = 3*j. Let w(k) = -33*k + 2. What is the smallest common multiple of 4 and w(j)?
68
Let a(l) = 2*l + 4. Let v be a(-6). Let y be 1/(((-8)/180)/(v/(-3))). What is the common denominator of -45/22 and 2118/y + (-1)/5?
22
Let z = 177431 - 86231567/486. What is the common denominator of z and -119/18?
486
Let q(g) = 1153*g + 150. Let c be q(41). Let l = c - 3414529/72. Find the common denominator of l and 59/4.
72
Find the common denominator of (4/6*(-200)/24640)/(24/(-350)) and 37/180.
7920
Let x be -19188*(-4)/((-60)/325). Let t = 5846165/14 + x. Let d = t - 1840. Find the common denominator of d and 145/6.
42
Suppose 0 = -2*k - 8, -22*a - 4618 = -27*a - 3*k. Calculate the lowest common multiple of a and 1.
926
Let g(b) = -115*b + 3425. What is the least common multiple of 8 and g(-23)?
24280
Let w(q) = q**2 + 10*q + 20. Let h be w(-8). Suppose 1 = 3*i + 16, 20 = 5*j + h*i. Suppose -34*u + 26 = -21*u. Calculate the least common multiple of j and u.
8
Let j = -121385 + 11653063/96. Find the common denominator of -127/144 and j.
288
Let h = 23 - 23. Suppose h = -12*a + 15 +