27
Suppose -29*c + 147 = -85. Let i = -11 - -25. Calculate the smallest common multiple of c + 6 + (-12)/2 and i.
56
Suppose -6*d + 10 = -11*d. Suppose 5*a - 25 = 5*s, 5*a + 3*s + 7 = 40. Calculate the smallest common multiple of a and d - (3 - 0)*(-6)/6.
6
Suppose -3*d = -5*o + 276, -4*o + 225 = 22*d - 23*d. Calculate the least common multiple of o and 8.
456
Let a be ((-9)/2)/((33/57864)/11). Let t = a - -331981/4. Let z = t + 3780. Find the common denominator of 40/7 and z.
28
Let g be 1*10*(5 + (-9)/2). Let i be ((-6)/(-30) + (-18546)/g)*-5. Let b = i + -408069/22. Calculate the common denominator of b and 55/6.
66
Let o = 12675 + -12590. Calculate the smallest common multiple of o and 4.
340
Suppose 2*f - 274 = -5*y, -115*y + 143 = f - 114*y. What is the smallest common multiple of f and 504?
3528
Let w(i) = 159*i**2 + 33*i + 117. What is the smallest common multiple of w(-3) and 18?
2898
Let o be (11 - (-189)/(-14)) + 136767/6. Let s = o - 1185103/52. Let q = 13009 - 260101/20. Find the common denominator of q and s.
260
Let j(a) = a**3 - 7*a**2 + 6*a + 45. Let b be j(11). Calculate the common denominator of 9/2 and b/(-15) - (1 + (-15)/9).
2
Let d = -2320732/17671005 - -3/178495. Let s = -2273/858 - -134/143. What is the common denominator of d and s?
198
Let c(h) = -4*h**2 + 1 - 15*h - h**3 + 3*h + 9*h - h**2 - 4*h**2. Suppose 45 = -0*u - 5*u. What is the least common multiple of 11 and c(u)?
308
Let n = -2/1283 - -1535/161658. Let y = -1249/1386 - n. Let o = -232535/18 + 12924. What is the common denominator of y and o?
198
Suppose -4*v + 4 = 0, 2982 = -5*c + 8*v - 6*v. Calculate the common denominator of (c/(-120))/(6/(-15)) and 50/33.
132
Let n = -1218891/50 - -48751/2. Let j = -2851/8645 + 3/2470. Calculate the common denominator of j and n.
350
Let w be (-14 - -11) + (5 - -3). Calculate the common denominator of 13/2 and (8/134)/(w - (-530)/(-110)).
134
Let m be -39 + 24/(-32)*4. Calculate the common denominator of 4/m + 2097/1512 and -1 + -1*128/42.
168
Find the common denominator of ((-544)/99960)/((-18)/231) and -23/315.
315
Suppose 17*g = 21*g - 5*z - 1155, -g + 259 = 3*z. What is the least common multiple of g and 350?
1400
Suppose 73 = 4*f - 15. Suppose -q = -u - 110 + 185, -3*u = 2*q - 190. What is the smallest common multiple of u and f?
748
What is the least common multiple of 130 and ((-20)/(-3) + -6)/((-38)/(-12825))?
5850
Let q be ((2 - -1)/(-3))/(-1). Calculate the common denominator of -35/12 and 7 + -1*q - 9/(-36).
12
Let i = 3751 - 56348/15. Let m(g) = -37*g. Let w be m(3). Let r = w + 70. What is the common denominator of i and r?
15
Let m(f) = 16*f + 2. Suppose -3*u - 3 = -6*u. Let g be m(u). Let w = g - 8. Calculate the smallest common multiple of w and 48.
240
Let t = 473 + -446. Let l = -56 + 92. What is the least common multiple of l and t?
108
Find the common denominator of (153228/(-44748))/(((-42)/5)/3*-5) and 37/87.
13398
Suppose -3*l + 21 = 3*z, -4*z + 17 = -l + z. Suppose -51 = -2*o - o - 4*g, l*g = o - 4. Calculate the least common multiple of o and 2.
26
Suppose 6*p - o - 392 = 3*p, 0 = p + 3*o - 114. Let n = p - 123. What is the least common multiple of 9 and n?
18
Suppose 3*u - y = 87, 0 = 4*u - 6*y + y - 127. Let b = u - -124. What is the common denominator of (2*-11)/(b/28 - 2) and -31/20?
60
Let x be 6/81*3*2*9. Suppose 8*c - 13*c + 23 = r, 3*r - x*c - 12 = 0. Calculate the lowest common multiple of r and 57.
456
Let l(k) = -46*k - 3420. Calculate the smallest common multiple of l(-123) and 18.
6714
Calculate the common denominator of (-88)/3564*(-1 - -9) and 16/153.
1377
Let s(b) = 4 + 0*b**2 - 6 - b**3 - 3*b + 6*b**2 - 3. Let g be s(5). What is the common denominator of -14/9 and 3 - ((-1245)/(-12))/g?
36
Suppose -3629 = -25*j + 3571. Calculate the smallest common multiple of 1008 and j.
2016
Calculate the lowest common multiple of ((-538)/(-6) + -1)*(-528)/(-616) and 32.
608
Let p = 14676 - 14368. What is the smallest common multiple of 2618 and p?
5236
Let p(i) = -i**2 - 313*i + 70. What is the lowest common multiple of p(-11) and 448?
23744
Let w = -97/13 - -3044/455. Calculate the common denominator of w and -1 + 0 - (-73)/65.
455
Let z = -4537929027155/589285996686 + 14/66676397. Let x = z - -44/491. What is the common denominator of 10/(-3)*(-5 + 195/25) and x?
18
Suppose -26*r = -30*r + 36. Let v(z) = z**3 - 17*z**2 + 20*z + 10. Let i be v(r). Let p = -947/2 - i. What is the common denominator of 5/8 and p?
8
Let o = -747 + 1903. What is the least common multiple of o/187 - (-2)/(-11) and (-22)/(-5) + 4/(-10)?
12
Let k(p) = p**2 - 11*p - 6. Let f be k(16). Let l = f + -72. Suppose q + l = 11. What is the least common multiple of q and 20?
180
Let a = -189 + 138. What is the lowest common multiple of 6140/170 - (-6)/a and 114?
684
Find the common denominator of (-1142)/(-234) + (-165)/33 and -53/84.
3276
Let h = 1596 - 964. What is the lowest common multiple of h and 869?
6952
Let i(f) = -30*f - 543. Calculate the smallest common multiple of i(-26) and 42.
3318
Suppose 0 = 3*w + 5*s + 19, w - s - 5 = 3*s. Let t(k) = 2*k**3 - 5*k**2 + 7. Calculate the least common multiple of ((-32)/w)/(5 + 26/(-6)) and t(3).
16
Suppose d + 2*j = 31 + 11, 5*d - 195 = -5*j. Let o(p) = p**2 - 18*p + 97. What is the lowest common multiple of o(11) and d?
180
Let a = -4066331/26879710 - 2/620301. Calculate the common denominator of 97/208 and a.
3120
Let g = -284 - -288. Calculate the common denominator of (3 - (-3843)/540) + g/5 and -28/31.
372
Let t = 2183826/7051 + 530/641. Let h = t - 10062/55. Let k = 380/3 - h. Find the common denominator of k and -6.
15
Find the common denominator of 121/160 and 57/3648*(-712)/(-28).
1120
Let c be -1*62819/31410 + (-12)/(-6). Let p = 36414659/31410 + c. Let g = -1169 + p. Find the common denominator of g and -41/5.
15
Calculate the common denominator of -11/90 and (-14240)/(-2358) + (-15 + -12 - -21).
11790
Suppose -4*r = -16*z + 12*z + 2216, 2*z - 3*r = 1111. Let y = z + -543. What is the smallest common multiple of ((-66)/4)/(6/(-8)) and y?
88
Let l(h) = -h**3 + 5*h**2 + 13*h - 3. Let b be l(5). Let g = -61 + b. What is the common denominator of (-2 + 165/6)*g/21 and 9/4?
28
Let h = 38 + -36. Let f(o) = 4 - 14 + h*o - 5. What is the lowest common multiple of f(11) and 1?
7
Let s = 4554 + -13646/3. Calculate the common denominator of s and -37/1635.
1635
Let h = -1429/4 + 4891459/13692. Let y = h + 215681/54768. Find the common denominator of y and 47/40.
80
Suppose 0 = 5*g - 46 + 16. Let v be (4/2)/((-5)/(405/g)). Calculate the common denominator of 0 - 1/(v/228) and -41/11.
99
Let w(y) = 56*y**3 + 15*y**2 + 8*y + 24. Let c be w(-10). Let a = c - -1964137/36. Calculate the common denominator of -45/8 and a.
72
Let m = 41384298/7 - 164999106323/27909. Let a = m + 2/443. Find the common denominator of a and -41/2.
18
Suppose -4*d - 5*h = 1395, 4*h = -d - 0*d - 346. Let y = -322 - d. What is the least common multiple of 28 and y?
28
Suppose -2*x = -5*v + 3017, -v + 7 = 4*x - 614. What is the lowest common multiple of v and 770?
8470
Let s = -49 - -2941/60. Calculate the common denominator of -55/24 and s.
120
Suppose 3*t - 16 = j + 15, 3*j - 3*t = -117. Calculate the common denominator of 576/(-960) - 1/30*j and -77/412.
1236
Let o(y) = -4*y**3 - 36*y**2 - 37*y - 18. Calculate the least common multiple of o(-8) and 121.
242
Let u = -6/55658303 + -25555120214209/1113166060. Let l = u - -22952. Calculate the common denominator of l and 1445/(-50) - ((-36)/30)/3.
20
Suppose -2*t - 536*g + 149 = -539*g, 0 = 3*t - 3*g - 219. Calculate the least common multiple of t and 6.
210
Calculate the least common multiple of 427/21 + (-30)/(-45) and 48.
336
Let y = 454593229/952 - 477514. Calculate the common denominator of y and -87/80.
9520
Let f = -893/12 + 7925/108. What is the common denominator of 154/(-260) + (-236)/(-9204) and f?
270
Let v = 111776/1918895 - 69/1255. Calculate the common denominator of v and 127/834.
9174
Let x = 7558702/2717 - 2782. Find the common denominator of 77/78 and x.
16302
Calculate the common denominator of -103/1068 and (-5)/15*((-57)/4 - -2 - -8).
1068
Let p(h) = -h**3 - 7*h**2 - 4*h - 9. Let q be p(-6). Let n = q + 41. What is the least common