
Let o(c) = -8*c - 10. Suppose 3*g + 5 = 2*g. Let u be o(g). Find the common denominator of (18/(-35))/((-48)/u) and -7/8.
56
Suppose -5*v - 6*r + 3*r - 1950 = 0, -v - 3*r = 402. Let k = 407 + v. What is the least common multiple of k and 26?
260
Suppose 1269 = 3*c - b, 0 = 2*c - 4*b + 2*b - 842. What is the lowest common multiple of c and 56?
2968
Let x be (0 + 3 - -3)*(-158)/(-400). Let w = x + -3/25. What is the common denominator of w and 58/(-6)*(-6)/(-92)?
92
Suppose -6*f + 549 = -27. What is the smallest common multiple of 120 and f?
480
What is the common denominator of -76/315 and (-4 + (-42)/(-9))/(310/(-2418))?
315
Let x(p) = 17*p + 6. Let c(n) be the first derivative of 17*n**2 + 12*n + 21. Let m(d) = 2*c(d) - 5*x(d). What is the lowest common multiple of 18 and m(-4)?
558
Let q = -45961/14 + 3281. Find the common denominator of 101/28 and q.
28
Let l(o) = o**3 + 18*o**2 - 39*o + 22. Suppose 20*d - 15*d = -100. What is the lowest common multiple of l(d) and 6/(-15) + (-27)/(-5)?
10
Let q = -274376521/510 - -537993. Let l = 2396 - 4883/2. Calculate the common denominator of q and l.
510
Let l = 20 - 10. Suppose 4 = o - g, -3*g + 8 = 122*o - 120*o. What is the lowest common multiple of o and l?
20
Suppose 6*n - 11*n = -620. Let j = -116 + n. Suppose -3*m = -31 - 5. Calculate the least common multiple of m and j.
24
Calculate the common denominator of 25/236 and 2754/756*((-1)/2)/(-1).
1652
Suppose 0 = -49*g - 8*g + 8037. What is the lowest common multiple of g and 1?
141
Let m = -805580/9 - -89276. Let p = m - -229. Calculate the common denominator of (1651/1404)/((-1)/(-2)) and p.
54
Let b = 105 - 104. Calculate the lowest common multiple of b/(-1*(-5)/(-450))*-1 and 63.
630
Suppose -42*x + 37*x - 393 = -3*w, 0 = -5*x - 2*w - 388. Find the common denominator of 61/6 and (0 + x/(-452))/(45/40).
678
Suppose 0 = 12*v - 1542 - 1434. Suppose 9*k - 5*k + v = 0. Let n = 73 + k. What is the least common multiple of 1 and n?
11
Suppose -20*l + 141 = -119. Suppose -125 = -4*j - l. What is the least common multiple of 44 and j?
308
Let l(i) = -4*i**3 + 2*i**2 + 4*i + 2. Let k be l(-1). Suppose -5*q - k = 31. Find the common denominator of q and ((-54)/4)/((-117)/(-3)).
26
Find the common denominator of 41/560 and ((-47 + 17)/4200)/((-20)/99).
2800
Let j be (1 - 26/20)*863/(-186). Let b be ((-7)/(-14))/(31/78). Let p = j + b. What is the common denominator of p and -1/18?
180
Let c(d) = -d**3 + 5*d**2 + 2*d - 20. Let x = 601 - 597. Calculate the lowest common multiple of (-354)/(-15) + (-2)/(-5) and c(x).
24
Suppose -5*d + 158 - 38 = 0. Suppose 41*b - d = 39*b. Calculate the smallest common multiple of b and 30.
60
Suppose -16*u + 17*u + 189 = 0. Let v be 2/14 + (-611885)/u. Let w = v - 3239. Find the common denominator of w and 173/30.
270
Let b = 205 + -130. What is the smallest common multiple of b and 6?
150
Let m = -238 - -247. Suppose -m*l + 4*l - o = -240, 96 = 2*l + o. What is the smallest common multiple of l and 32?
96
Let i = -40029 - -65607565/1639. Calculate the common denominator of i and -14/149.
1639
Let l = -86029 + 39229249/456. Calculate the common denominator of l and 113/1672.
5016
Let y(i) = -2*i + 12. Let o be y(5). Let k be 2/(o + 0) - (-312 + -12). Find the common denominator of -11/18 and -2*2 - k/(-30).
18
Let s = 10258 - 10254. Calculate the smallest common multiple of 154 and s.
308
Suppose 2*x + 3*b = -16, -2*x - 48*b = -50*b - 14. What is the smallest common multiple of 287 and x?
287
Let o(m) = -16*m**3 + 7*m**2 - 10*m + 10. Let l be o(7). Let w be -4 + (l/(-12))/5. Let j = 238/3 - w. What is the common denominator of -145/18 and j?
36
What is the least common multiple of 8 + (-3)/(-6)*(3 - -189) and 7?
728
Let y = 9288 + -9278. Calculate the lowest common multiple of 40 and y.
40
Suppose w + r = 625, -101*r = w - 102*r - 611. Calculate the least common multiple of 24 and w.
2472
Calculate the common denominator of 223/84 - (-164)/(-41) and 29/6.
84
Let i(n) = 4*n**2 - 1. Let f(g) = 18*g - 733. Calculate the lowest common multiple of f(41) and i(-1).
15
Suppose -5*b + 12 = -4*v - b, 0 = 3*v + 5*b + 49. What is the common denominator of (150/v)/((5 - 5) + -1) and 121/42?
84
Let x = 5 + -3. Suppose -2*l + 4 = 2*a + 2, 4*l = -x*a. What is the smallest common multiple of -6*5/20*912/(-9) and a?
152
Suppose -3*c + 656 - 131 = 0. Suppose -7 = 6*q - c. What is the lowest common multiple of 14 and q?
28
Suppose 4*a - 18 - 22 = 0. Let k be (8 + 322)*(a/4 + -2). Calculate the common denominator of -19/12 and (-11)/(k/260) + -1.
12
Let g(u) = 5147*u**3 + 11*u**2 - 18*u + 12. Calculate the smallest common multiple of g(1) and 1932.
15456
Let s = 22229/3078 + 1/3078. Suppose 169 - 855 = 7*y. Find the common denominator of (-2)/132*(-3)/(-3)*y and s.
99
Suppose -12*y + 9*y - b + 5307 = 0, 0 = y + 3*b - 1777. Calculate the lowest common multiple of y and 520.
8840
Suppose -s + b + 13 = 2, 3*s + 5*b = 9. Suppose -s*z = 243 - 307. Calculate the least common multiple of z and 19.
152
Suppose -3*b + 100 - 88 = 0. Let p = 938/29 - 25847/696. What is the common denominator of ((-15)/b - -3) + 1022/(-224) and p?
48
Let n(c) = -240*c - 104. Calculate the smallest common multiple of n(-5) and 1233.
9864
Let c = -478813/352248 + 3/9032. Let t = c + 2521/468. Calculate the common denominator of 1/2*(-17)/(-4) and t.
72
Let p = 35284609/708 + -49837. Find the common denominator of -29/472 and p.
1416
Calculate the smallest common multiple of 336 and 8/24*-6 + (418 - -4).
1680
Suppose -10*f - 4 = -5*f - 4*d, f - 4*d = 12. What is the smallest common multiple of 8 and -10 - -6 - f/2*6?
8
Let q = 101398745/664 + -152709. Let j = 2293/12 - 182. Find the common denominator of q and j.
1992
Calculate the common denominator of -61/36 and (-1008)/(-8256)*(535/(-180) - -3).
6192
Suppose -5*r + 10 = -40. Suppose 0*d + 2*g = 5*d - 18, 2*d + 2*g - r = 0. Calculate the smallest common multiple of d and 9 + (12/54 - (-22)/(-18)).
8
Calculate the common denominator of -27/5776 and -6436*(-24)/(-29184) + -1 + 6.
5776
Let w = -43237/4 - -10834. What is the common denominator of -57/124 and w?
124
Let u(o) = -4*o - 5. Let z be u(-3). Suppose -5*l + 149 = -8*f + 4*f, 4*f = -4. Suppose -3*h + z = -l. Calculate the lowest common multiple of h and 2.
12
Let d be 1/(-1)*-631*(0 + 1). Suppose 2*w - d - 7113 = 0. What is the common denominator of w/156 + (33/39 - 1) and -16/3?
3
What is the smallest common multiple of 872 and 6 + (-16)/(-12) + (-10)/(-15) - 0?
872
Let i = -252 - -260. Let j = 68 - 53. Calculate the smallest common multiple of j and i.
120
Let d = -7223/12537 - 31/796. Calculate the common denominator of d and -173/30.
1260
Let w = 12476/5 - 99711/40. Let g = 1828/7 - 1039/4. Calculate the common denominator of g and w.
280
Calculate the common denominator of ((-76)/(-55))/(4*(-1 + (-10)/(-20))) and -71/1320.
1320
Let m(f) = 46*f**2 - 37*f - 70. What is the least common multiple of 48 and m(-2)?
2256
What is the least common multiple of (-201)/(3 - (-51)/(-12))*(-80)/(-24) and 1072?
1072
Calculate the least common multiple of (1 - 2)*(-6 - 11 - -18) - -1926 and 330.
11550
Let a be 24/(-15) + 1 - (-35472)/(-80). What is the common denominator of 1 + (-170)/(-12) + 1 and (78/20 + -4)/((-4)/a)?
30
Let a be 471/9 - (-12)/18. Suppose -2*l + 22 = 2*h, 5*h + 2*l = -l + a. Calculate the smallest common multiple of h and 80.
80
Suppose b - 5*g + 16 = 0, 0 = -3*b + g + 1 + 21. Let s = -347 + 349. What is the least common multiple of s and b?
18
Suppose 2*v + 4*a + 40 = 0, -v - 3*a - 35 = 2*a. Let q be (2 - 25) + 5/(v/(-4)). Calculate the common denominator of 23/48 and (75/(-10))/(-3)*q/6.
48
Let t = 12843/43820 + -1/4382. What is the common denominator of -143/252 and t?
1260
Let r(y) = -2*y**3 - 156*y**2 + 163*y + 399. Let q(x) = x**2 + 4*x + 3. Let j be q(-3). Let n = 8 - j. Calculate the lowest common multiple of r(-79) and n.
8
Suppose 3*t + 242*k - 238*k = 4096, -2*t - k + 2744 = 0. What is the smallest common multiple of t and 3440?
6880
Let k = 299 + -296. Calculate the common denominator of -9 and 792/(-1728) - k*(-2)/8.
24
Let o = -451/10 + 3097/120. Let p = o - -4619/216. Find the common denominator of 53/15 and p.
270
Let c be -1*(8510/703 -