 of o and x.
144
Let r(y) = -y**2 - 4*y + 23. Suppose o + 15 = 3*c, -2*o = -5*c - 4*o + 14. Let m = 194 - 1360/7. Calculate the common denominator of m and r(c).
7
Suppose -16*f + 6 = -19*f. Let t be 5/(-30)*-8*(-9)/f. What is the smallest common multiple of (0 - (-6)/4)/(t/104) and 8?
104
Suppose 0 = -4*a - 39 + 151. Let f = 137 + -126. Let o(d) = d**2 - 5*d - 57. Calculate the lowest common multiple of a and o(f).
252
Let p = 110 - 116. Suppose -2*v - 1 = -7. Calculate the least common multiple of v and (-14)/(0 - ((-18)/p + -1)).
21
Suppose j + 36 = v + 2, 2*v + 3*j = 48. Calculate the smallest common multiple of 210 and v.
210
Let s = 32 - 34. Calculate the common denominator of s/3 - (3 - (-2168)/(-336)) and -113/6.
42
Suppose -d = -3 - 2. Let m = 34252 + -34244. Calculate the least common multiple of d and m.
40
Let a = 5867 + -3327. What is the smallest common multiple of 60 and a?
7620
Let t(i) = i**2 - 17*i + 12. Let n be t(15). Let h = -36901/50 + 738. What is the common denominator of (2/(-3))/(60/n)*-34 and h?
50
Suppose -144 = -4*p - 3*v, -3*p - 4*v + 279 = 178. What is the least common multiple of p and 213?
2769
Suppose -g = -3*l + 15, 0 = -0*g + 5*g - 4*l + 31. Let b be (g*2)/((-8)/16). Calculate the common denominator of 11/2 and (-2 - 12/(-3))/(b/(-51)).
2
Let y(x) = x**2 - 21*x + 38. Let d be y(2). Suppose -t + d = -162. Calculate the least common multiple of t and 10.
810
Suppose 16*t + 1815 = 5*t. Find the common denominator of -103/24 and t/(-56)*(-67)/(-335).
168
Suppose 2*r - 4 = -k, 3*k - 3 = -3*r - 0*k. Suppose -4*b = -r*b + 30. Calculate the common denominator of (-4)/b*165/40*-2 and 3/11.
110
Let d = -865 - -874. What is the least common multiple of d and 378?
378
Suppose 7 - 157 = -30*p. Suppose p*n + 53 = 123. What is the least common multiple of n and 20?
140
Let p = -16149 - -645851/40. Find the common denominator of ((-8)/(-48))/(20/(-165)) and p.
40
Let c(q) = 9*q**2 + 40*q + 41*q - 2 - 84*q. Suppose -7*t + 9*t = 2*p + 16, 5*p + 18 = 3*t. What is the lowest common multiple of c(-1) and t?
110
Suppose -57*w + 63*w + 24 = 0. Let p(v) = -v**2 - 9*v - 5. Calculate the smallest common multiple of p(w) and 105.
105
Suppose -1455 = -3*i + 3*z, 3*z = 6*i - z - 2902. Suppose 4*s - 153 = 2*o + i, 5*o - 287 = -2*s. What is the least common multiple of 26 and s?
156
Find the common denominator of -1/432 and (5358/(-1080) + 5)*602/147.
2160
Let s(n) = 10*n**3 + 2*n**2 - 1. Let h(u) = 2*u**2 + 5*u + 1. Let p be h(-3). Suppose -p*w - 21 = -61. Calculate the lowest common multiple of w and s(1).
110
Let g = -421195/249313 - 2/8597. What is the common denominator of 31/235 and g?
6815
Suppose 8*z - 216 = -4*z. Let k be z/3 + 1/((-5)/20). Find the common denominator of 47/30 and (-792)/(-32) - (k - 2) - 1.
60
Suppose -4089 = -56*c + 9*c. Let a(o) = 2*o**2 - 5*o + 5. Calculate the common denominator of c/(-2)*-4*2/(-12) and a(4).
1
Suppose -2*v + 4*n = -84, -n - 4*n = 5*v - 270. Let y = 37565 - 37555. Calculate the smallest common multiple of y and v.
50
Let m(q) = -q**3 + 7*q**2 - 8*q + 3. Suppose -44 = -7407*a + 7403*a. Calculate the lowest common multiple of m(5) and a.
143
Let q = 5115 + -61433/12. Let d = 3874 - 34837/9. Calculate the common denominator of q and d.
36
Suppose t = h + 20 - 1182, h - 5*t = 1182. Suppose -7*l - h - 642 = 0. Let o = -1033/4 - l. What is the common denominator of -49/12 and o?
12
Let j = 245 + -116. Let m = -124 + j. Calculate the least common multiple of m and 1.
5
Suppose -17*h + 6*h + 682 = 0. Let t = 84 - h. Calculate the least common multiple of t and 116.
1276
Let c = 2391601/60 - 39839. Let m = 8108 + -121676/15. Let n = m - c. Calculate the common denominator of -17/11 and n.
44
Suppose -4*z = 12, 121 = c + 4*z - 2*z. Suppose 4*y - c = -43. Suppose -17*v = -y*v + 72. Calculate the least common multiple of 14 and v.
126
Let p = 589 + -586. Suppose -2*l = -7*l + 3*s - 114, 0 = 3*l + 3*s + 78. Let o = l + 66. Calculate the least common multiple of p and o.
42
Let h(y) = 3*y**2 + 18*y - 267. Let l be (-284)/12 + 2/(-6). Calculate the smallest common multiple of l/(-1)*(-4)/(-8) and h(7).
12
What is the common denominator of 12 - (32363/6484 + -4 + 11) and -59/10?
32420
Let z = -2709 + 3030. Calculate the least common multiple of 642 and z.
642
Let v = 777/5 - 749/5. Find the common denominator of (-9)/(-4)*336/126*(-5)/52 and v.
130
Suppose 0 = -0*w + 3*w - 3. Let a be 3 - (-2 + 3 + 1). Suppose -4*h + 3*y + 23 = 0, 4*h - 39 + a = -2*y. What is the least common multiple of h and w?
8
Let w(b) = 2*b**3 + 4*b**2 + 7*b + 6. Let p be w(-2). Let k = -176677/30 + 5892. What is the common denominator of (((-2)/p)/(-1))/((-108)/3480) and k?
90
Suppose -9 = 4*q + 3, u - 17 = 5*q. Suppose u*b - 196 = 28. Calculate the least common multiple of 28 and b.
112
Let a(h) = -11*h - 12. Suppose 0 = 4*y + 2*i - 30, y + 4*i - 7 = -3. Let k be (-4)/6 + (y/12 - 2). Calculate the lowest common multiple of a(k) and 8.
40
Let d = 2469553/64 - 38586. Find the common denominator of (-8)/(-24) + (-66)/9 + 13/(-8) and d.
64
Calculate the common denominator of -29/162 and -5 + (61/40)/(44/264).
1620
Suppose 0 = 14*f - 1014 - 442. What is the least common multiple of f and 143?
1144
Let z(i) = -5*i - 61. Let t be z(-13). What is the least common multiple of (-14 + 16)/(2/t) - -32 and 4?
36
What is the lowest common multiple of (-3668)/(-42) - 80/(-30) and 110?
990
Let p be 5/(-3*3/(-9)). Suppose p*n + 14 = 39. Calculate the smallest common multiple of n and (6 + 312/(-54))*27.
30
Let o(q) = -16*q**2 + 40*q + 9. Let t be o(7). Let j = -471 - t. What is the smallest common multiple of 16 and j?
48
Calculate the least common multiple of (-310)/(-9) - -22*34/(-1683) and 5.
170
Let u(f) = -6*f**2 + 5*f**3 + 5*f**2 + 3 - 7*f**2 - 4*f**3 + 10*f. What is the lowest common multiple of 88 and u(7)?
264
Find the common denominator of 29/1314 and (1*357/(-28))/(-3 - -1).
5256
What is the common denominator of (8344/336)/(19 + 1) and 15/16?
240
Let q = -524538108881888803/23991042980 + 2/1199552149. Let s = -21846814 - q. Let f = 17106 - s. Calculate the common denominator of f and 67/40.
40
Calculate the common denominator of (833/(-42) - -45) + -1*7 and ((-23)/(-4))/((-9)/6).
6
Find the common denominator of -59/324 and ((-26)/468)/(24/572).
324
Let b = -23 - -33. Suppose 3*j = 3*m + 6, 4*m = -2*j - 0*m + b. Suppose -3*v + j = -6. Calculate the least common multiple of 24 and v.
24
Suppose 3*q - 3*p - 5 = 34, -4*q = 2*p - 46. Calculate the common denominator of (1/5)/(108/(-790)) and 8 - q/((-576)/(-140)).
108
Suppose 156*m = 141*m + 16845. Let l = -79711/2 - -38702. Let g = l + m. Find the common denominator of -7/26 and g.
26
What is the common denominator of ((-37845)/2772 - -13)*(-8)/(-12) and 68/385?
770
Let o be (27/12)/((-3)/(-16)). Suppose 8 = 2*h - o. What is the lowest common multiple of h and 16?
80
Suppose -134 - 20 = -c. Let r = 1/53 + 4493/636. Calculate the common denominator of r and 3/(24/c) + -3.
12
Suppose r = -2*f + 4*r + 25, -5*f + 20 = r. Suppose f*i + 0*n = -n + 39, 0 = -3*i - 5*n + 41. Calculate the least common multiple of i and 21.
21
Let b = -12392 + 12396. What is the least common multiple of 1870 and b?
3740
Suppose -22*j - 65 = -25*j - 4*l, -j = l - 20. Let u = 13 - 1. Calculate the smallest common multiple of u and j.
60
Suppose 70*q + 942 - 2622 = 0. What is the smallest common multiple of 2355 and q?
18840
Let s = 65421643/46308 + -4/11577. Let o = 1431 - s. Calculate the common denominator of 95/68 and o.
68
Suppose 4*n + 5 = 4*s + 25, 2*n + 3*s + 10 = 0. Calculate the lowest common multiple of (-240)/(-200) - (638/(-10) - n) and 18.
198
Let q(b) = -71*b**2 - 34*b - 13. Let m be q(8). Let x = 72499/15 + m. What is the common denominator of 59/24 and x?
120
Let q = 24119/60 + -1977/5. Let y = 9053/7 + -1291. Let f = y + -118/21. Calculate the common denominator of f and q.
12
What is the lowest common multiple of (-2)/(-15 - 1184/(-80)) and 12350?
12350
Find the common denominator of 6/(-20)*(4 - 2) and 1 + -3 - -5 - 2937/16335*22.
45
Find the common denominator of 69/28 and (99/132)/((-96)/86).
448
Let v(s) = s**2 - 14*s - 13. Let p be v(13). Calculate the common denominator of (-7680)/(-910) - 