 smallest common multiple of 60 and x/((-28)/(-42)) + -1 + 12?
420
Let b = 139 + -3. What is the least common multiple of (-1624)/(-70) + -1 + 1/(-5) and b?
1496
Let p = 24 + -6. Suppose -51*b - 13*b + 1280 = 0. What is the smallest common multiple of p and b?
180
Let b(u) = -u**2 - u + 8. Let n be b(2). What is the common denominator of -101/196 and n + 40/(-21) + (-35145)/(-11340)?
1764
Let b(r) = r**3 - 16*r**2 - 7*r + 29. Let j be b(16). Let k = 58 + j. Calculate the common denominator of -115/12 and (-64)/6 + k/(-100).
12
Let o be (-2 + 6 - 0) + (-1297822)/(-56). Let s = 23182 - o. What is the common denominator of 111/154 and s?
308
Suppose -316 = -14*a - 64. What is the least common multiple of a and 1058?
9522
Suppose -g + 0*h = -2*h - 10, 0 = 4*g + 3*h - 95. Find the common denominator of 73/52 and (-1)/(-4*g/332).
260
Suppose -6*i - 13*i = -68 - 388. Calculate the least common multiple of i and 1581.
12648
Let j = -2/12691 - -1180271/50764. Suppose 0*h - 4*h = -46396. Let m = -440805/38 + h. What is the common denominator of m and j?
76
Let p = 62 + -22. Let b = p + -34. Calculate the common denominator of -73/20 and (1/b)/(3/133).
180
Let g = 522149/15097971 + 17/11823. Let j = -5697239060431473/102160 + 55767805994. Let h = g - j. Calculate the common denominator of 31 and h.
80
Let d = 96/5 + 51/20. Calculate the common denominator of d and 23/11590.
23180
Let j(z) = 3*z**3 - 8*z**3 + 4*z**3 - 6 + 4*z + 2*z**2 + 6*z. Let g be j(4). Calculate the common denominator of 3/(24/(-52)) - (g - 1) and 99/26.
26
Let f(x) = -5*x**2 - 52*x + 1. Let d be f(-9). What is the common denominator of 51/140 and (-98)/(-3)*48/d?
140
Let g = 6450859/160 - 40318. Calculate the common denominator of g and -121/240.
480
Suppose -x + 1385 = 3*k, -5*k - 3*x = -10*k + 2327. Let y = 773 - k. What is the smallest common multiple of y and 10?
310
Suppose -17 = 2*q - 231. Let h = q + -98. Calculate the least common multiple of 1 and h.
9
Suppose 63 = 15*n - 12. What is the least common multiple of 40 and n?
40
Let q be (2937456/171381)/4 + 110/(-88). Let k = q - -6/8161. Find the common denominator of k and 55/184.
1288
Let s = 9 - 6. Suppose 4*j = i + 12, 0 = -0*j + 2*j - s*i + 4. Calculate the lowest common multiple of j and (18/(-5))/(18/(-45)).
36
Find the common denominator of ((14256/1360)/33)/((-107)/(-5) - -1) and -71/340.
9520
Let g be (-1 - -3 - -197) + -29 + 24. Calculate the common denominator of g/(-24) + 730/292 and (1 - (-42)/(-44))*-3.
132
Suppose -5*z + 2*l = -43, -3*z = -2*l + 15 - 44. Calculate the lowest common multiple of z and (-2)/(-3) + (-1813)/(-111).
119
Let x = 2/18401 - -1674447/404822. What is the common denominator of x and 95/364?
4004
Suppose 0 = 203*k - 310*k + 18939. Calculate the least common multiple of 96 and k.
5664
Let k be (-5)/10*-6*-1 - 4. Let c(n) = n**3 + 9*n**2 + 12*n + 17. Calculate the smallest common multiple of 1 and c(k).
31
Let q = 520 - 516. Find the common denominator of 21/13 and (q/(-3))/((-748)/2346).
143
Let h = 545381/26009 - 650/31. Let f = h + 21807/5873. Let y = -1409/18 + 81. What is the common denominator of y and f?
126
Suppose s - 48 = -54*h + 50*h, 15 = 3*h. Calculate the smallest common multiple of s and 268.
1876
Let w = 2/28791 - 49817/57582. Find the common denominator of -44/1029 and w.
6174
Let t(a) = 3*a + 266. Let x be t(-34). Find the common denominator of -97/4 and 3*(-6)/9 + 286/x.
164
Let i = 15386 + -8506. Suppose 0 = -4*t - 4*w + i, 3*t + 5*w - 3694 - 1474 = 0. Let q = 18857/11 - t. Calculate the common denominator of q and -76/9.
99
Suppose -j = 5*r - 7831, 5*r - 196*j - 7828 = -194*j. What is the smallest common multiple of r and 232?
6264
Suppose -j - 3*j + p - 2 = 0, j + 11 = -5*p. Find the common denominator of 6/16*(-26)/3 and (-2)/j + (-871)/(-1206).
36
Let p(u) = 2*u**2 - 18*u + 8. Let j(h) = -h**2 - 3*h + 18. Let i be j(-5). Let b be p(i). What is the common denominator of -25/3 and b/36 + (-347)/99?
33
Find the common denominator of (61/(-286))/(54/12) and -31/234.
2574
Let t be (-6)/(-1 - 26/(-32)). Let m = 5023 - 105430/21. What is the common denominator of m and t/18 + 6/(-4)?
126
Suppose 17 = -2*r + g, -r + g + 1 - 7 = 0. Let z(l) = -2*l**2 - 10*l + 27. Let w be z(r). Find the common denominator of ((-1)/(-5) + 1351/w)/(-28) and 29/22.
462
Suppose -8*j + 1 = -39. Suppose -11*z = -j*z - 96. Let p = -180 - -188. What is the smallest common multiple of z and p?
16
Let i be (-20)/(-4*(-3)/(-9090)). Let k = 333405/22 - i. Let s = 1200 + -4855/4. Find the common denominator of s and k.
44
Let t be (-90)/(-54) + 1/3. Suppose -t*j - i + 7 = 0, -3*j + 3*i = -7*j + 17. Suppose -l - 11 = -j*l. What is the smallest common multiple of 3 and l?
33
Suppose -93 = 3*x + 15. Let v = -25 - x. Let q = 207386 + -207381. What is the lowest common multiple of v and q?
55
Let f be 8/28 - 5296/14. Suppose 3*m - m + 18 = 0. What is the common denominator of 951/f + m/21 and -64/27?
54
Let n = 7/2 + -503/90. Find the common denominator of 2/(-10)*(-125)/240 and n.
720
Let l(a) = -a + 2. Let z(p) = 2*p - 18. Let y(f) = 6*l(f) + z(f). What is the lowest common multiple of y(-6) and 44?
396
Find the common denominator of (-40 - 1539/(-38))*146/1719 and -38.
1719
Suppose 159*z = 158*z + 416. Let v = -2609 + 2611. Calculate the smallest common multiple of v and z.
416
Let w = -5912 + 6104. Calculate the smallest common multiple of 168 and w.
1344
Let p be -5*(-13)/((-390)/(-12)). Suppose -b = -p, -106*b = 5*z - 111*b - 640. Calculate the lowest common multiple of 91 and z.
910
Let w = 1957897299347209/423 - 4628595924024. Let v = w - 2892398. Let j = -2/423 - v. Calculate the common denominator of 49/20 and j.
60
Let r(g) = -g**3 + 42*g**2 - 63*g - 53. Let o be r(40). Let t = o + -576. What is the least common multiple of t and 33?
561
Suppose -1026 = 7*u - u. Let k = -159 - u. Calculate the least common multiple of 4 and k.
12
Let r(a) = -10 - 5*a**2 - a**3 - 3*a**3 + 5*a**3 + 9 - 2*a**3. Suppose 4*i = 3*i + 2. Calculate the least common multiple of i and r(-6).
70
Let n(i) be the third derivative of i**5/60 - i**4/4 - 7*i**3/2 - 53*i**2. What is the lowest common multiple of n(-3) and 48?
48
Let t(f) = -42*f + 291. Let c be t(7). Suppose 48 = 3*a - 24. Calculate the common denominator of -83/6 and (-2)/a*c/2.
24
Let c = 5/28 + 82/21. Let r = -28825/22 + 1310. Calculate the common denominator of r and c.
132
Let y(s) = -2*s**3 + 2*s**2 - 66*s - 68. Calculate the least common multiple of y(-1) and 7.
14
Let t = 6373 - 6321. Calculate the least common multiple of 11 and t.
572
Let s(y) = -7648*y + 20. Let k be s(6). Let c be (k/(-40))/(1 + 0). Let v = c + -1143. What is the common denominator of v and 93/20?
20
Let j(n) = -n**2 + 35*n + 196. Let i = -117 + 172. Calculate the lowest common multiple of i and j(39).
440
Let i(y) = 4*y - 1. Suppose 3*t + 5 = 2*h, h = 2*t + 11 - 7. Let l = 26 + h. Calculate the smallest common multiple of i(7) and l.
216
Let v = -118074156/403 + 292987. Let q = v - -28/31. What is the common denominator of q and -2/7?
91
Let u = -2396 - -33583/14. Let i(h) = -36*h**3 + 2*h**2 - 2*h + 1. Let j be i(1). Find the common denominator of u and (j/36)/5*38.
126
Let m = 2782295/6 - 463712. Suppose 2*x - 4*x = -636. Find the common denominator of m and x/(-220) + (-2)/(-5).
66
Let m(x) = -9*x**3 - 442*x**2 - 58*x - 57. What is the lowest common multiple of m(-49) and 336?
2688
Let g = 999 - 408. Let o be (-46)/(-5)*(0 - (-85)/g). Let b = 2/197 + o. Calculate the common denominator of -44/27 and b.
27
Suppose -4*y + 35 = 3*o, y + 15 = 9*o - 5*o. Suppose 0 = o*f + 4*n - 1101 - 87, -234 = -f - 2*n. What is the common denominator of 20/25 + (-596)/f and -93/4?
60
Let t = 493/40 + -9/20. What is the common denominator of t and -33/122?
488
Suppose 0 = 63*c + 5*c - 26656. What is the smallest common multiple of c and 1470?
5880
Suppose 5*s = 10, 581 - 108 = 5*c - s. Calculate the least common multiple of c and 215.
4085
Let k be -1*(-3)/(4 - 7)*-1. What is the common denominator of (k/((-60)/(-3)))/(126/(-616)) and 37/81?
405
Let c = -856/225 - -32891/8100. Find the common denominator of 113/486 and c.
972
Suppose 52253 + 14156 = 53*v. Calculate the least common multiple of 23 and 