6)/c + (3 - (-99)/(-36)).
57
Let t = -788/3 + 271. Let c(y) = y**3 + 7*y**2 + 5*y - 2. Let p be c(-1). Find the common denominator of (-2 + -2 + (-104)/(-22))/p and t.
33
Suppose -40*u = 3842 - 15282. Let x = 294 - u. What is the least common multiple of 120 and x?
120
Suppose -4*s - 40 = -5*b, -6*s + s - 33 = -2*b. Calculate the common denominator of ((-111)/150)/(4 - 14/b) and 26/25.
25
Suppose 2344 = 9*c - 896. What is the common denominator of -47/10 and (30/21 + -1)/(c/693)?
40
Suppose -2*f - 5346 = -5*f. Calculate the common denominator of -91/110 and (f/(-1100))/(4/5).
440
Find the common denominator of 2*(-7 + (-376)/(-112)) and -103/3138.
21966
Suppose 605*k - 601*k = 128. Calculate the lowest common multiple of k and 1330.
21280
Suppose 35 = -4*l + 11*l. Suppose 4*k = 3*d + 196, -l*k + 4*d = -65 - 181. What is the least common multiple of k and 14?
322
Let r(q) = q**3 + 46*q**2 - 165*q - 484. Calculate the smallest common multiple of 6 and r(-49).
1194
Let v = 121 + -121. Suppose -13*g + 9*g + 48 = v. Calculate the smallest common multiple of 16 and g.
48
Let v be 3*((-7)/(-3) - (-24)/(-8)). Suppose 52 = 4*w - 4*x, 0 = 3*w - 2*x - 31 - 10. Calculate the lowest common multiple of 15 and v/(-5) + 399/w.
135
Let t = 5076 - 5062. Suppose g + 5*p = -0*g + 51, 0 = -3*p + 6. Suppose -3*z + 151 = 5*r, -z - 58 = -3*r + g. What is the least common multiple of r and t?
224
Suppose 3*s - 11 = 4*q, -2*q + 12 = 3*s - 5. What is the common denominator of (-19*(4/12 - 0))/q and -11 + 11 + 1*23/16?
48
Suppose -5*d = -3 + 43. Let x be 385339/110 + d/44. Let u = 3509 - x. Find the common denominator of u and 23/8.
40
Let j be 6/(-3)*(645/(-10) - -2). Calculate the common denominator of -63/10 and (-4)/(-24)*-2 + j/96.
160
Let r(f) = -f**3 + 27*f**2 - 135*f - 6. Calculate the smallest common multiple of r(18) and 85.
8160
Suppose 4*h = -5*d + 285 - 969, 4*d + 5*h + 540 = 0. Suppose x + 2425 = -0*x. What is the common denominator of 69/4 and ((-2)/d)/(10/x)?
28
Let a = -268137/16165 + -1271/305. Let k = a + 46214/2385. Calculate the common denominator of 7/54 and k.
270
Let j(k) = k**2 - 29*k + 106. Let m be j(25). Suppose 23 + 165 = -4*p. Let b = m - p. Calculate the smallest common multiple of b and 4.
212
Suppose -o + 1960 = -4*k, 0 = 5*o + k - 11035 + 1235. What is the lowest common multiple of o and 1960?
1960
Let f = 34 + -47. Let i be f/((-65)/2) + 1156/(-15). Let q = i - -1102/15. What is the common denominator of 91/15 and q?
15
Let m be ((-3)/6)/(1*(-4)/(-232)). Let q = m - -43. Let i(a) = 16*a + 24. What is the smallest common multiple of i(5) and q?
728
Suppose -3078 = -226*q - 1044. What is the smallest common multiple of q and 5?
45
What is the smallest common multiple of 124/(-1860) - 2521/(-15) and 144?
1008
Suppose 180 = 2332*f - 2320*f. What is the lowest common multiple of 595 and f?
1785
Let i = 477627/40 - 11940. What is the common denominator of i and -63/1492?
14920
Suppose 4*p - 362 - 178 = 0. Let m = p - 129. What is the smallest common multiple of 7 and m?
42
Suppose -391 = -7*h - 758 + 934. What is the lowest common multiple of h and 159?
4293
Let y be (-1038249)/2076490 + -1 + (-12)/(-8). Let b = 219693/6252311390 + y. Let l = b - -986098/135495. What is the common denominator of 89/20 and l?
180
Let u = -509 + 527. Suppose -u*r + 520 = -14*r. Calculate the smallest common multiple of 78 and r.
390
Let a be 1/(1892/(-7850))*1002/60. Let l = -3514/43 - a. Let b = l - -5/88. Calculate the common denominator of b and 29/18.
72
Let z(s) = -2*s - 69. Let x(b) = -b**2 + 12*b - 25. Let i be x(6). Let g be z(i). Let l = 99 + g. What is the lowest common multiple of l and 18?
72
Find the common denominator of 5/244 and (-3)/(-1)*(-7175)/1845.
732
Suppose 3*k = -d - 0*k, -3*k = -5*d. Calculate the smallest common multiple of (16/14)/((-32)/(-112)) and 1*(3 - 2 - d).
4
Suppose 3*h = -2*j + 14, 3*h + 2*j - 7*j = 49. Suppose -244 = -5*q + s, 2*q + 4*s = -0*q + 80. Calculate the lowest common multiple of 48 and -6*h/(q/(-9)).
144
Let m(q) = 2*q + 10. Let n be m(-3). Suppose -180 = -n*p - 20. Calculate the smallest common multiple of 6 and p.
120
Let f(p) = -53*p + 2494. What is the least common multiple of f(47) and 374?
1122
Let f = -401/42 - -227/84. Let m = 40/21 - f. Calculate the common denominator of 91/110 and m.
220
Suppose -311 = 15*x - 12014 + 2583. What is the lowest common multiple of x and 18?
5472
Let c be ((-18)/4)/((-2)/24). Let i = c - 50. What is the common denominator of -73/15 and i + -5 + 4 - 101/(-6)?
30
Calculate the least common multiple of (-26 - -25)/((-3)/18 + 0) and 831.
1662
Suppose 98*u - 1440 = 90*u. Calculate the lowest common multiple of ((16/(-3))/4)/((-10)/u) and 36.
72
Let j be (-141)/(-6) + 3/6. Suppose 4*m + 5*x - 32 = 0, -11*m + j = -8*m - 3*x. Calculate the least common multiple of m and 18.
72
Let g be (0 - 5)*(-57)/(-26695). Let q = g + -5751/14050. Calculate the common denominator of 39/25 and q.
50
Let v(c) = -c**3 - 49*c**2 + 94*c + 177. Calculate the lowest common multiple of v(-51) and 1677.
25155
Let p(o) be the third derivative of -o**5/60 - 13*o**4/24 - 10*o**3/3 + 16*o**2. Calculate the least common multiple of 6 and p(-10).
30
Find the common denominator of (2/9)/(18/(-27))*(-1674)/120 and 87/70.
140
Suppose -35*y + 30194 = 27359. What is the smallest common multiple of 2 - (1 + 2 + -73) and y?
648
What is the lowest common multiple of (-5)/(((-12)/40)/(99/55)) and 684?
3420
Suppose m - 150 = -g + 6*m, 2*g - 284 = 2*m. Calculate the smallest common multiple of g and 11.
1540
Suppose -2*m + 76 = -12. Let g(u) = -223*u + 19214. What is the least common multiple of g(86) and m?
396
What is the common denominator of -35/3 and (-4)/34 - 204500/(-336600)?
198
Let i be ((-46)/(-115))/(1/5). Suppose -345 = -i*h + 5*h. Let v = h + 191. What is the lowest common multiple of v and 18?
684
Let u = -48 - -84. What is the common denominator of (2/u)/(10/(-2445)) - -3 and 31/24?
24
Let y(l) = 72*l + 117. Let d be y(-7). What is the common denominator of -27/55 and d/(-75)*1/(-6)?
550
Suppose 56 = 840*a - 833*a. Let o(h) = 1. Let n(m) = -m**2 - 2*m + 7. Let r(g) = -n(g) + 5*o(g). What is the smallest common multiple of r(2) and a?
24
Find the common denominator of 2/242*(-1605)/50 + (-5)/(-25) and -13/22.
1210
Let l be 46/368 - 9407/(-8). What is the common denominator of 12/7 and 1*(-4)/(l/301)?
42
Let j be -7 + 3*(-15)/9. Let w = -104 - -516/5. Find the common denominator of w and ((-711)/240)/(j/5).
320
Suppose -8*x - 54 = -17*x. Let t be 2 + x/33 + (-100)/(-55). Suppose 64 = -w + 5*w + 3*i, 5*i = t*w - 64. What is the smallest common multiple of w and 10?
80
Calculate the smallest common multiple of 36 and 0/2 + (-150)/20*20436/(-65).
4716
Let s(r) = 3*r - 12. Let h be s(-8). Let u = 57 + h. Suppose 0 = -4*x + 5*o + 58, 5*o - u - 17 = -4*x. Calculate the lowest common multiple of x and 22.
132
Let f(v) = -v + 22. Let q be f(17). Let h be (0 - q/(-20)) + 2106/(-1403). Let m = h + -13/244. Find the common denominator of m and -99/4.
92
Let q = 566 - 1046. Let x be (2253879/q)/((-6)/8). Let m = x + -6262. Calculate the common denominator of -49/8 and m.
40
Suppose 0 = 4*t - 4*i - 204 - 16, 3*t = -i + 161. Calculate the lowest common multiple of 9 and t.
54
Suppose 6*y = -2*h + 294, -3*h + 254 = -h - 2*y. Let w = -3 + 7. Calculate the least common multiple of w and h.
132
Suppose -4*j = -100 + 16. Suppose -370*a + 374*a + 33 = 3*w, 0 = -2*w - 5*a + 45. Calculate the lowest common multiple of j and w.
105
Suppose 6*l - 102 = -66. Calculate the smallest common multiple of 88 and 2/(l/(22 - -2)).
88
Suppose 0 = -5*c + 4*s + 14, -s + 5*s + 8 = 2*c. What is the common denominator of (-2770)/(-2493) - (-247)/(-36) and (c - 0) + (-23)/14?
28
Let g = -16927 + 19991. Calculate the least common multiple of g and 4213.
33704
Let j(r) = -r**2 + 13*r + 28. Let i(h) = -h + 27. Let y be i(12). Let w be j(y). What is the common denominator of 1108/144 + w/(-9) and 67/28?
84
Suppose 3*a = -0*u + 3*u + 138, 2*u + 93 = 3*a. What is the lowest common multiple of 16 and 1*-1*6*60/u?
16
Let j(i) = 6*i**3 + 4*i**2 + 5*i + 6. Let r be j(-2). Let y = r + -22. Let k = 66 + y. What is the smallest common multiple of k and 8?
8