f = 20 - 13. Calculate the lowest common multiple of 29 + 9353/(-329) - 860/(-14) and f.
434
Let a = 860429/390 - 6617/3. Calculate the common denominator of -139/900 and a.
11700
Let q = 78 + -173. Let p = q + 98. Calculate the common denominator of 55/8 and ((-22)/4 + 4)/(p/25).
8
Suppose 0 = -3*o - 2*a + 48, -a + 26 = 2*o - 6. Let i = 21 + 39. What is the smallest common multiple of o and i?
240
Let q be (290/60)/((-385)/3981). Let a = q - -689/14. Find the common denominator of 1/40 and a.
440
Let y = 84 + -60. What is the least common multiple of y + (-4 - (-3 - 2)) and 55?
275
Let g = -4722531938521/342205640 + -3/34220564. Let q = g + 13798. Let r = -757/480 + 67/30. What is the common denominator of r and q?
160
Let i = 296411 - 147019917/496. Find the common denominator of -81/32 and i.
992
Suppose -15271 - 9845 = -23*h. What is the least common multiple of h and 105?
5460
Let w = 17797 + -17699. What is the smallest common multiple of w and ((-28)/3)/(2/(-15))?
490
Let j(x) = -56*x + 336. Let z be j(-37). What is the common denominator of 113/20 and 134/z - ((-180)/48 - -4)?
6020
Let v(q) = 3*q**2 + 26*q + 4. Let j be v(-8). Calculate the least common multiple of 92 and (4/(-7))/(j/84).
92
Suppose 3*t - 2*l = t + 4, -2*l = 3*t + 4. Suppose -3*b - h + 8 = t, h + 4 = 4*b + 5. Calculate the smallest common multiple of b and 11.
11
Suppose 0 = -12*d + 153 + 75. Suppose -3*s + 41 + d = 0. What is the least common multiple of s and 30?
60
Let i(x) = -x**3 - 16*x**2 - 31*x - 216. Calculate the least common multiple of i(-15) and 300.
600
Calculate the common denominator of (-6)/(-28) + (-10530)/27825 and 3/106.
530
Let k(b) = b**2 - 4*b + 2. Let a be k(4). Suppose -a*g = -5 + 1. Calculate the least common multiple of 18 and 2*(7/(-21))/(g/(-81)).
54
Let t = 160724063/756 - 212598. Calculate the common denominator of t and -83/252.
756
Suppose i - 6131 = -4*j + 4882, -2*i - 2769 = -j. Calculate the smallest common multiple of j and 3.
8265
Suppose -5*o - 3*m = -0*m - 8397, 3*o + 5*m = 5035. What is the common denominator of 63/52 and 4/(-10) + (-1883)/o?
624
Let y be (-810)/2345 + 7/(196/8). Let p = -245/737 - y. Find the common denominator of p and ((-1)/10)/(2/236).
55
Let q(y) = y**3 + 5*y**2 + 8*y + 7. Let o = -51 - -46. Let k be q(o). What is the common denominator of (2 + k/15)/(54/795) and -63/32?
288
Let k = -4637 - -6386. Calculate the smallest common multiple of k and 636.
6996
Let z(v) = -v**3 + 7*v**2 + 5. Let a = -11781 + 11816. Calculate the least common multiple of z(5) and a.
385
Let h be (-206)/4*69444/6. Let o = h - -3559213/6. Let t = -2838 - o. What is the common denominator of 67/4 and t?
12
Let g = 75 - 102. Let f = -48 - -20. What is the least common multiple of ((g/2)/(-9))/((-6)/f) and 9?
63
Let w = -26 + 32. Let f = -2002 - -3923/2. What is the common denominator of f and (-5)/w*(-1551)/110?
4
Let m(x) = 260*x - 1559. What is the least common multiple of m(6) and 10970?
10970
Let m = 122 + -102. Suppose -3*x - 3*c + 45 = 0, -2*c + 15 = -0*x + x. What is the smallest common multiple of x and (-5 - -20)*m/25?
60
Let a = -13/333758 + -12197519647/5673886. Let s = 5699153/2652 + a. Find the common denominator of s and -1/16.
624
Let w be (-2)/9 - 3832/(-18). Let o be (10/(-112))/(918057/(-51002) + 18). Let f = w - o. Calculate the common denominator of 97/12 and f.
84
Let a = 5778 + -2684. Let r = -102112/33 + a. Find the common denominator of (8 - 12)/(-16) - (-434)/24 and r.
33
Let t = -3447/35 + 99. Calculate the common denominator of (1/(-12))/(50/(-1005)) and t.
280
Suppose 7877 - 914 = -11*z. What is the common denominator of 4/(-14) - (-249)/112 and (z/88 + (-8)/44)*4?
16
Let j = -200753 + 166223569/828. What is the common denominator of j and 5/828?
828
Let w(l) = -27*l**2 + 14*l - 1. Let j(z) = z**2 + 2*z. Let i(f) = 6*j(f) - w(f). Let d be 5 - (6 + -2 + 0). What is the least common multiple of 6 and i(d)?
96
Let z be -314*4/13616 + 0. Let x = 30394291/18722 - z. Let n = -1627 + x. Calculate the common denominator of n and -39/4.
44
Let p(w) = -5*w - 17. Let i be p(-4). Suppose -3*u + 64 = 5*v, -i*v - u = 3*u - 45. What is the least common multiple of v and 20?
220
Let m = -69055 - -3867181/56. Calculate the common denominator of 4898/(-155)*50/(-1760) and m.
616
Let p be 6 + 4 + 1*2. Let k = -42589/168 - -2057/8. Find the common denominator of (-5)/p - (-1 + 0) and k.
84
Let v(j) = j - 2. Let h be v(5). Suppose -60 = -3*p + 3*d, p - 2*p = h*d - 36. Let r = 9 - 6. What is the lowest common multiple of r and p?
24
Let f = 2/2887 + -222379/115480. Let l = 2279 + -36403/16. Find the common denominator of f and l.
80
Let j = 22646 + -815125/36. Calculate the common denominator of j and (1/(-84))/(9/474).
252
Let p = 766 + -586. Suppose -5*k = 10*k - p. Let c = 30 + -12. Calculate the lowest common multiple of k and c.
36
Suppose 616 = 5*h + 2*a, 5*h + 4*a - 374 = 238. Calculate the lowest common multiple of h and 40.
1240
Suppose -16556 + 12160 + 115906 = 118*w. What is the lowest common multiple of w and 60?
3780
Let g(x) = -x**3 - 14*x**2 + 16*x + 12. Let z be g(-15). Calculate the lowest common multiple of (z*4/(-14))/(9/294) and 12.
84
Let n = 2 + 1. Suppose -4*j + 6 = 10. Let i(s) = 11*s**2 - 5*s - 6. Calculate the smallest common multiple of i(j) and n.
30
Let g = 60425534/231 + -261582. Find the common denominator of 65/88 and g.
1848
Let k = 2604871/516 + -20191/4. What is the common denominator of k and 104/(-8)*(-2)/22?
1419
Let d be 1 - 1*6*(-21)/(-42). What is the smallest common multiple of d/(2/(-25)) - -3 and 56?
56
Let u be 14/(-3) - (-15)/9 - 0. What is the common denominator of ((-4)/(-42))/(u/(4815/40)) and 151/12?
84
Let u be 3*(-30)/(-36)*(-8)/(-10). Suppose 26 = l + 4*s - 8*s, u*l - 7 = -s. What is the smallest common multiple of l and 42?
42
Let s = -355061/30 + 11837. Let c = -1184/13 - -95644/1053. Calculate the common denominator of s and c.
810
Let v be (474/(-12))/(1/2). Let l = 142 + v. What is the least common multiple of l and 63?
63
Suppose 0 = -3*y - 2*v - 130, -3*y + 0*y + v - 115 = 0. Suppose 73 + 27 = 2*s. Let f = y + s. Calculate the smallest common multiple of 8 and f.
40
Let w = -2362968529/4156 + 568568. Calculate the common denominator of w and 35/8.
8312
Suppose 0 = 2*q - 0*z - 5*z + 12, -5*q - 64 = -4*z. Let a = -10 - q. What is the least common multiple of a and 0 - -22 - (-30)/15?
24
Let z = -7620 - -3741418/491. Let q = z - 15199/5401. What is the common denominator of q and -49/11?
11
Suppose -5*y - 4*m = 7036, -2126 = 5*y + 5*m + 4909. Let k = 5142735/8 - 641426. Let g = k + y. What is the common denominator of g and 37/10?
40
Suppose -5*v + 418 = 6*v. Suppose -v - 42 = -2*z - 2*m, -3*m = 5*z - 200. What is the lowest common multiple of z and 12?
120
Calculate the common denominator of 81/608 and (7392/(-33))/(-32) - ((-161)/(-16) + 2).
608
Let m = 606771 + -540632894/891. What is the common denominator of m and -46/1089?
9801
Let k = 3548737127/3060 + -1159718. What is the common denominator of k and -49/20?
3060
Calculate the least common multiple of 384 and (-19)/((-3325)/2814) - 4/50.
384
What is the lowest common multiple of 147/28*420/245 and 2013?
6039
Suppose 3*b + 147 = 5*g, -g + 12 = -5*b - 13. Let x = -60 + 90. What is the smallest common multiple of x and -2*((-2)/(-8))/((-5)/g)?
30
Suppose -2*v - 6 = 3*h, 2*v + 7 = -4*h - 1. Suppose -3*p = v, -2*u + 0*p + 4*p + 28 = 0. Calculate the lowest common multiple of 4 and u.
28
Let o(p) = -9*p**2 - p. Let z be o(-1). Suppose 0 = 4*n + r - 62, 3*n - 13*r - 47 = -14*r. Calculate the common denominator of 3/z*292/(-12) and n.
8
Let h be 418183/187 - (-2 - 2). Let i = 2238 - h. Let z = 821/5 - 27208/165. What is the common denominator of z and i?
33
Let n be 108/(-54) + (-120214)/59080. Let f = n + -1/1055. What is the common denominator of -61/28 and f?
28
Let j = 7097 - 2903. Let v = j + -25097/6. What is the common denominator of v and 17/6?
6
Suppose 5*l = -5*v + 580, 4*l - 513 = -84*v + 87*v. Calculate the lowest common multiple of l and 1002.
41082
Suppose 174 = 22*v - 146 - 164. Calculate the least common multiple of 374 and v.
374
Let i be (1 - -1)*(306/(-12) + 0). What is the common denominator of (-60)