 and s.
570
Let a = 2/27970555 + -1989573547753/671293320. Let k = a - -2965. Find the common denominator of k and -139/36.
72
Let r(l) = -4*l + 62. Let f be r(14). Calculate the common denominator of 73/4 and f - 2*699/144.
24
What is the common denominator of 79/48 and (-10 - 3518/(-356))/(-3)?
4272
What is the lowest common multiple of 12 and (-1 + (-51)/3)*544/(-12)?
816
Let s(a) = 19*a**2 - 4*a - 4. Let h be s(-6). Let n = 722 - h. Calculate the least common multiple of n and 696.
2088
Let n = -209863 + 180482149/860. What is the common denominator of 71/688 and n?
3440
Let z = -306 + 266. What is the common denominator of 87/20 and (2 - (-383)/z)*(-35)/(-42)?
80
Let m = -397821/140980 - -2/5035. Find the common denominator of 55/49 and m.
196
Let s = -23574188/313 - -75317. Find the common denominator of s and -43/11.
3443
Suppose 741*r - 368*r - 146 = 372*r. What is the smallest common multiple of r and 438?
438
Let c(d) = d**2 + 100*d + 6064. What is the lowest common multiple of 8 and c(-58)?
7256
Let v = 170/39 - 4157/390. Calculate the common denominator of v and (-2)/7 - (-17739)/63875.
250
Let p = -741 - -866. Suppose 0 = 111*y - p*y + 784. Calculate the smallest common multiple of y and 48.
336
Let r = 1756/273 + 10/819. Calculate the common denominator of 338/(-120) - -2 - 2 and r.
180
Suppose 87003*j - 87046*j = -186835. What is the lowest common multiple of j and 158?
8690
Let y = -184 - -286. Suppose y*u + 112 = 103*u. What is the smallest common multiple of u and 10?
560
Let d be (-1)/4 + 9745/(-4284). Let y = d - 5/1071. Calculate the common denominator of y and 136/(-63) + 12/(-42).
153
Let p(f) = 11*f**2 + 10*f + 13. Let g be p(-4). Suppose y + g = 5*w - 0*y, 0 = y - 1. What is the common denominator of ((-34 - -2) + -2)*w/72 and -37/16?
48
Suppose -4*v + 290 = -l, -32*v + 27*v = -5*l - 340. Calculate the smallest common multiple of v and 666.
666
Let x be (-4)/(-6)*(-18)/1196. Let o = 21779/4784 - x. Calculate the common denominator of o and -3 + ((-142)/(-20) - -2).
80
Suppose 2*j + 16*p - 17*p - 2837 = 0, 0 = -j - p + 1420. What is the smallest common multiple of j and 774?
8514
Find the common denominator of 29/861 and (-2851604)/168756 + 1 + 16.
861
Suppose 270 = -2*s + 12*s. Let h(a) = a**3 + 9*a**2 - 12*a - 14. Let m be 6*2/4 - 13. What is the lowest common multiple of s and h(m)?
54
Let j(s) = -s**2 + 4*s + 17. Let m be j(-5). Let a be 5/((-375)/(-35))*m. Let w = a + 1147/30. Find the common denominator of 11/27 and w.
54
What is the lowest common multiple of 2532 and (1 - 2)*((-2678)/182 - (-4)/(-14))?
12660
Let u(x) = x - 14. Let m be u(17). Let t = 7 + m. What is the smallest common multiple of 40 and t?
40
What is the common denominator of 2/165*(22/15 - 2/(-10)) and 1/2211?
6633
Suppose -7*k = -126 + 91. Let r(s) = -s**2 - 7*s. Suppose -2*w = 3*w + 30. What is the least common multiple of k and r(w)?
30
Let w = 270 + -263. Suppose 4*y = 5*h + 219, h = 2*h - 1. Calculate the lowest common multiple of w and y.
56
Let s = -140 + 79. Let h = s + 71. Calculate the smallest common multiple of 264 and h.
1320
Let i = 2622/65 - 1174158/29185. What is the common denominator of -4/7 and i?
3143
Let d be (42/18 + -2)/(1/3). Let n be 1990/(-80)*((-537)/(-2) - d). Let y = n + 6652. Calculate the common denominator of 29/22 and y.
176
Let b(s) = s**3 - 11*s**2 + 7*s + 18. Let t be b(10). Let g = -9 - -16. What is the least common multiple of (16/t)/((-6)/(-9)) - -7 and g?
35
Let g = 63047 - 62895. Let n(w) = w + 10. Calculate the least common multiple of g and n(0).
760
Let x = -131/22 + 273/44. Calculate the common denominator of 5/(-25) + (-406)/(-80) and x.
8
Suppose -5*j + 912 = 5*o - 8*j, -3*o + 544 = -5*j. Let t = o - 175. What is the lowest common multiple of t and 16?
16
Let j = -445461/10 + 37411. Let x = j - -7126. What is the common denominator of 31/446 and x?
2230
Suppose -4*x + 167 = t, -28*x + 5*t - 121 = -31*x. Let y be 20/(3/6*1). Suppose -j + 5*j = y. What is the smallest common multiple of x and j?
210
Suppose -5*v - 69 = -2*v. Let l = -11 - v. Let p(d) = -d**3 + 2*d**2 - 2*d + 60. What is the smallest common multiple of p(4) and l?
60
Let o be (-2)/(-522)*(5 + 1301881/(-28)). Let c = -1606/9 - o. What is the common denominator of c and 127/48?
1392
Let u be 10*(-7)/14 - (77 - 1). Calculate the smallest common multiple of 45 and (18/u)/((-6)/27).
45
Suppose -4*m + 65 = i, m - 4*i - 4 = -9. Suppose -n = -3*b - 0*b + 7, -3*n - m = -3*b. What is the lowest common multiple of b and 39?
39
Find the common denominator of (2 - 3) + (23/(-2323))/((-30)/3147) and -47/1111.
11110
Suppose b = -2*r - 39 - 139, 2*r = -3*b - 542. Find the common denominator of 57/28 and 3/180*b + 6.
420
Let w = 74403/44 - 1690. Calculate the common denominator of w and ((-1)/(-20))/(18/(-1155)).
264
Let p = -6844 - -410609/60. Find the common denominator of 18/(-12) + 1352/560 and p.
420
Let t = -1 - -13. Suppose 7*q + 11 = 14*q - 52. Calculate the least common multiple of q and t.
36
Let p = 110938 + 107228. Let u = p - 2397217/11. Let h = -235 + u. Find the common denominator of 25/8 and h.
88
Let a be (5/(5/(-3)) + 5)*-215. Calculate the common denominator of a/1000 + 1/1 and 31/10.
100
Let n be 11/(-3) - 2/(-3). Let q(b) be the second derivative of -b**3/2 + 51*b + 6. What is the smallest common multiple of 9 and q(n)?
9
Suppose -15*m - 18*m - 24*m = -342. Calculate the smallest common multiple of m and 210.
210
Suppose 3*q - 72 = 5*t, 5*t = -q + 26 - 2. Calculate the common denominator of 142/8*q/(-180) and (1 + -2)/((-24)/151).
120
Let o = 303469/40 + -7586. Calculate the common denominator of -62/15 and o.
120
Suppose -17 + 68 = 3*t + g, -21 = -2*t - 5*g. Suppose -4*s - 5*z + 25 = 0, -5*s + t = 5*z - 12. What is the smallest common multiple of s and 6?
30
Let y = -111179 - -329773/3. Let o = 1238 + y. Calculate the common denominator of o and (-316)/(-12)*(-2)/(-14).
21
Let i = 100 - 459. Let h = i - -371. Calculate the lowest common multiple of h and 24.
24
Let b(y) = 17*y**2 + 11*y + 24. Let j be b(-2). Find the common denominator of (2/(28/(-78)))/(20/j) and 69/10.
10
Let a be 5/(-15) - 136/24. Calculate the lowest common multiple of 84/(-48) - a - 3/(-4) and 11.
55
Let c be (-236)/(-6) + (-1)/3. What is the common denominator of ((-35)/c)/((-6)/(-9)) and (-14 + 208/12 + -7)/(2 + 0)?
78
Let i be 6/21 - ((-5427)/(-693) - 3). Let g = i - -2107/132. Find the common denominator of g and -143/18.
36
Find the common denominator of -10 + 685/70 - (5 - 0) and 79/40.
280
Suppose 19*c = -3*t + 14*c - 32, 0 = 3*t - 4*c - 4. What is the lowest common multiple of (-320)/(-30)*(-6)/t and 88?
176
Calculate the common denominator of (-4 - (-37712)/9430)/(20/(-1250)) and -57/82.
1886
Let s be 1 + 1308 + 17 + -21. Calculate the common denominator of 51/55 and (-1363)/s - ((-12)/2)/2.
495
Let k be 0 + 14998/(-28) + 1. Let i = k - -532. Let l = 5831/3 - 163433/84. What is the common denominator of l and i?
28
Suppose -3*z + 1260 = -2*j, -2*z + 2*j = -109 - 731. What is the lowest common multiple of 84 and z?
420
What is the smallest common multiple of (-704)/(-12) - -5*(-3)/9 and 29?
1653
Let r = 14218627/102 - 139397. Find the common denominator of 85/132 and r.
2244
Let o = 7000 + -6914. What is the lowest common multiple of o and 324?
13932
Let b(o) = -o**2 - o + 10. Let y be b(6). Find the common denominator of (0 - 284/y)/1 and (128 - -30)/((-8)/(-1)).
8
Suppose -5*o - 5*b + 30 = 5, -o - 5*b = -17. Suppose o*x = -6, 0*w + 3*x + 73 = w. Calculate the common denominator of (-16)/(-72) + w/63 and 69/8.
168
Let i(d) = -30*d + 1130. What is the lowest common multiple of i(13) and 140?
5180
What is the common denominator of (0 - 1) + 27 + 49039/(-1881) and 101/88?
792
Suppose -5*g + 13 = -4*s, -g - 2*g - 3*s = -24. Suppose -g*r + 101 = -2*x, -3*r - 5*x + 49 = -24. Let u = 15 + 12. What is the least common multiple of r and u?
189
Let l be 4*92 - (-3 - 1). Let i = l - 7823/21. Calculate the common denominator of (18/162)/(56/(-44) + 1) and i.
189
Suppose 0 = 7*x + 26 - 12. Let b be 25344/(-215985) + -1*x/17. Let m = 268333/39270 + b. What is the common denominator of m and -5?
6
Let y = 2/13545 - 275417/13545. What is the common denominator 