 2084 - n. Find the common denominator of a and 43/137.
411
Suppose h = z + 11076 - 11055, -51 = -2*h + 3*z. Suppose -5*s = -c - 2*s + 73, 2*c + 5*s - 201 = 0. What is the least common multiple of c and h?
264
Find the common denominator of 75/8 and 195/(-39) + (-1)/(6/(-117)).
8
Let k(h) = -h**3 - 29*h**2 + 12*h + 1470. What is the least common multiple of 201 and k(-30)?
2010
Let x = -191379/4 - -47586. Let n = x - -238. Find the common denominator of n and -51/16.
16
Let d = 570038 + -273618077/480. What is the common denominator of 91/1320 and d?
5280
Suppose -r + 188 = 2*y - 1414, -4*y - r + 3202 = 0. Calculate the smallest common multiple of 460 and y.
18400
Suppose -m + 27 = -2*q + 52, -q - 1 = -5*m. Find the common denominator of (-4)/q + (-12)/5040*-1506 and 89/6.
30
Let x be ((-4)/(-6))/(19242/54). Let p = 9605/8552 + x. Calculate the common denominator of -53/4 and p.
8
Let u = 3931/2 - 2011. Suppose -5*z + 147 = -3*x, -5*z - 3*x = 2*x - 155. What is the common denominator of u and 5/(-3)*(-100)/z?
18
Let s(j) = -j**2 - 17*j + 1. Let z be s(-10). Suppose 0*u + 3*u - z = 4*v, -u - 3*v = -15. Calculate the common denominator of -29/16 and (78/(-3))/(72/u).
48
What is the smallest common multiple of 48461/207 + (-11)/99 and 2?
234
What is the common denominator of (-395)/130 + (1 - -1) and 10 + 9/(-12 + 3) + 6294/(-702)?
234
Let z(n) = 25*n - 2080. What is the lowest common multiple of 11 and z(93)?
2695
Let w = 1589611109/16278660 - -2/813933. Let y = w - 97. What is the common denominator of -91/10 and y?
20
Let g = 4776/11 - 37119/88. What is the common denominator of (-45)/22 - 2/(-8) and g?
88
Let w = -128/1071 + 57235/27846. Calculate the common denominator of 23/72 and w.
936
Let w be (1 - (-5)/10)*2*1. Suppose -3*f - f = -4*k - 40, 2*f = w*k + 24. Calculate the lowest common multiple of 6/18 - (-15)/9 and f.
6
Suppose -5*c + 5*t + 25 = 0, -26 = -c - 3*c + 2*t. Suppose -18*l + c*l = -60. Calculate the smallest common multiple of l and 33.
66
Suppose 2*j + r = 4*r + 138, -j - 3*r + 69 = 0. Calculate the common denominator of (14/(-91))/((-3)/(j/4)) and -69/16.
208
Let a(q) = 73*q**2 - 3*q + 2. Let s be a(1). Let d = 8496 - 101851/12. Calculate the common denominator of 87/s - 1/(-4) and d.
24
Suppose -4*u - 7 = -3*u. Let l(v) = v**2 + 5*v - 3. Calculate the lowest common multiple of l(u) and (6/(-4))/(((-85)/70)/17).
231
Let n(x) = 3*x**2 - 7*x + 1. Suppose -2*t = 130*p - 134*p - 48, 5*t + 5*p = -30. Calculate the smallest common multiple of n(-5) and t.
444
Let q = 740 + -722. Let z be 4*(35/(-4) + 0). What is the smallest common multiple of 3/15 + (-133)/z and q?
36
Let z = -493 - -495. Suppose u + 0 = 6. Calculate the least common multiple of -2 + u + -1*z and 20.
20
Suppose -13*r - 14 = 38. What is the lowest common multiple of (r + 0)*(-10 - -6 - -3) and 146?
292
Let c = -2/98103 + -2125421/7063416. Find the common denominator of c and -151/174.
6264
Let i = -3627/28 - -116449/896. Find the common denominator of i and -34*(-1 + 77/98).
896
Let q(r) = -4*r**2 + 14*r - 7. Let c be q(3). Let t(k) = -2*k**3 + k**2 - 2*k - 2. Calculate the lowest common multiple of t(c) and 6.
6
Suppose 206 = 4*w - 9*w + 4*y, -2*y = 3*w + 128. What is the least common multiple of ((-24)/w)/((-2)/(-28)) and 116?
232
Suppose -i = -15 + 6. Suppose -8 - 27 = -7*l. Suppose 9 = 3*x + l*h, -2 = -2*x + 4*h + 4. What is the least common multiple of i and x?
9
Let m(r) = 18*r**2 - 7*r + 7. Let c(s) = 7*s - 6. Suppose 4*u + 5*w + 0 = 24, 5*w - 17 = 3*u. Let t be c(u). Calculate the least common multiple of m(t) and 34.
306
Let w = -2879802038/55283 + 52092. Let n = w + 5694185/995094. Find the common denominator of 47/6 and n.
18
Let h be (9/(-138))/(618/35240) - 0. Let r = -186/103 - h. Find the common denominator of r and -53/8.
184
Let h = -138 - -137. Let b be 3198/216 - (0/h - -2). Let p = b - 457/18. Find the common denominator of -11/10 and p.
60
Find the common denominator of 127/90 and 11/(-3)*-8*-2*(-1)/156.
1170
Let b = 29 + -5. Suppose -2*c - b = -48. What is the smallest common multiple of 77/(-847) - (-133)/11 and c?
12
Let p = 7570840 + -166496757/22. Let d = p + -2803. What is the common denominator of 65/86 and d?
946
Suppose -2*j + 35 = 5*j. Let f(p) = p**3 - 4*p**2 + p. Let r be f(3). What is the smallest common multiple of 10/(r/(-15)*5) and j?
5
Let v = -2350/37 + 337697/5328. What is the common denominator of 23/744 and v?
4464
Let g(j) = -6*j + 3. Let r be g(-4). Suppose -5*k + 4*z = -0*k - r, -4*k + 9 = z. What is the common denominator of -3 - (k + (-759)/140) and -125/12?
420
Let o(m) = -m**2 - 70*m - 341. What is the lowest common multiple of 11 and o(-64)?
473
Let p(w) = -w + 45. Let o be p(8). Calculate the common denominator of 29/9 and 6 - (-4 + 8) - o/(-10).
90
Let y = -97236319/84 - -1157671. Let d = -1209/14 + y. Let x = -2536 + 15253/6. Calculate the common denominator of d and x.
12
Let n be ((-420)/18)/((-2)/(-18)). Let g be ((-1163)/(-10))/((-12)/n). Let r = -2020 + g. Calculate the common denominator of 113/10 and r.
20
Calculate the smallest common multiple of 720 and 4/54 + 103668/162.
5760
Let n(y) = y + 46. Suppose 7*i - 2*i - 2*x = -144, -2*i + 3*x - 51 = 0. Calculate the smallest common multiple of n(i) and 16.
16
Let q(l) = -l**3 + 34*l**2 - 42*l + 132. Let b be q(33). Let i = b + 533. What is the least common multiple of 1 and i?
368
Let u(q) = -24*q - 15 + 13*q + 32*q - 57. Suppose 2*l - 36 - 24 = 0. What is the lowest common multiple of u(4) and l?
60
Let n(j) = j - 2. Let m be n(7). Suppose 4*d + 5 = -t - m, 0 = -5*t + 2*d + 16. Calculate the smallest common multiple of 12 and t/3 - 448/(-21).
132
Let h = -470 - -602. Suppose 0 = -10*c - c + h. Calculate the smallest common multiple of 176 and c.
528
Let v(m) = -2*m**3 + 5*m**2 + 9*m + 4. Let g be v(4). Find the common denominator of 8/(-24)*222/g and -65/9.
36
Suppose -4*b + 8 = -3*f + 34, f = -3*b - 13. Let t = 2/79557 + 4057403/159114. Find the common denominator of 14/(-88) + f/(-8) and t.
22
Let j = 70227/1430 + -489/10. What is the common denominator of j and -19/13?
143
Suppose 771 = -3*g - 0*g. Let d = g - -287. Suppose -3*s + 64 = -26. What is the smallest common multiple of d and s?
30
Let v(z) = 119*z**2 + 13*z - 26. Let o be v(2). Let r = o - 464. Suppose -5*a + 2*l = -22 + 3, 4*l = -3*a + 1. Calculate the lowest common multiple of r and a.
12
Let l = -16608 - -16760. What is the least common multiple of 496 and l?
9424
Let j be -1 - (-169292)/72 - (-18)/81. Let r = -2398 + j. What is the common denominator of r and 71/60?
60
Suppose 6*h + 6*h - 3094 = 4106. Calculate the smallest common multiple of 24 and h.
600
Let q be 7 + -2 + 2750 + 5. What is the common denominator of 163/66 and ((-9)/(-24))/((-594)/q)?
66
What is the common denominator of -25/6 and (-4)/(19000/(-615))*(-10)/124?
35340
Suppose -594*k + 595*k = -7, 5*i = -k + 128. Let j = -23 + 56. What is the lowest common multiple of j and i?
297
Let q = 569 + -561. Let g(j) = 14*j + 0 + 3 - 23. Calculate the lowest common multiple of g(10) and q.
120
Suppose -76 = 5*q + 84. Find the common denominator of 1/((-40)/21 - -2) and (7/(-35))/(q/1380).
8
Let q(z) = -2*z**2 + 8*z - 7. Let s(h) = -h**2 - 1. Let f(k) = -q(k) + 3*s(k). Suppose -54*t = -56*t + 8. Calculate the smallest common multiple of t and f(-8).
4
Suppose 133*h = 321452 - 100007. What is the least common multiple of h and 370?
3330
Let w = 119 - 75. Let v(o) = -3*o - 17. Let d be v(-7). What is the lowest common multiple of w and 8/d*1 - -18?
220
Let g = -532 - -11909. Calculate the smallest common multiple of g and 11.
125147
Let o(c) = -40*c**2 + 7*c - 2. Let w be o(14). Let i be 4/(-14) - w/154. Let g = 69 - i. What is the smallest common multiple of 11 and g?
209
Let k be (-92)/38*(-12)/16. Let d = -586/171 + k. Calculate the common denominator of d and 89/54.
54
Let w be (32/6)/(6/(-9)). Let j be w/(-40) + (18/10)/1. Suppose -5*x - 5*u + 390 = 0, -j*x - x + 249 = -2*u. Calculate the smallest common multiple of 12 and x.
324
Find the common denominator of 1100/56*(-2)/10 and 2*(1905/(-920) + 2).
644
Suppose -18 = -5*c + 2. Let f(b) = -b**3 + 6*b**2 - 3*b + 4. Let a(q) = -40*q**2 - 342*q + 174. What is the smallest commo