(10/15040)/((-360)/17184) and -79/15.
5640
Calculate the common denominator of -28/1989 and ((-1)/4)/(245/17395).
7956
Calculate the common denominator of 49/260 and (-3188)/336 - 60/630.
780
Let u = -520/231 - -101/154. Let o be 6 + (-256)/40 + (-3009)/1840. Let x = o - 7/46. Calculate the common denominator of u and x.
336
Find the common denominator of 2*2/4 + 1564/(-2112)*2 and 143/24.
264
Let m = 1140 + -9055/8. What is the common denominator of 169/2250 and m?
9000
Let c = -108 + 108. Suppose 0 = o + h + 2, 4*o + 2*h + 8 = -h. Let t = c - o. Calculate the smallest common multiple of t and 4.
4
Suppose 337 = 10*l - 133. Suppose -5*w + 43 = -l. What is the lowest common multiple of 56 and w?
504
Let r(o) = 101*o**2 + 54*o + 162. What is the lowest common multiple of r(-3) and 808?
7272
Let x(c) = c - 17. Let z be x(21). Let s(v) = v**3 - v**2 - 12*v + 20. Calculate the lowest common multiple of 14 and s(z).
140
Calculate the common denominator of 7/192 and 22/(-24)*((-165)/10)/(-8 + -19).
1728
Calculate the least common multiple of (420/(-175) + -12)/(2/(-5)) and 222.
1332
Let b = 71455/83424 - -7/869. Calculate the common denominator of ((-494)/152)/(40/224*-2) and b.
480
Let u = 13211142 - 210400647417/15926. Find the common denominator of -37/16 and u.
127408
Let k = 7/216 + 7187/1512. Calculate the common denominator of 93/8 and k.
56
Let k(g) = -g**3 - 6*g**2 + 5*g - 2. Suppose 3*y = -m + 54, 37*m - 2*y - 92 = 35*m. What is the smallest common multiple of m and k(-7)?
48
Let g be (-3)/(-15) + 69083108/(-240). Let y = -288227 - g. Let m = y + 371. Find the common denominator of 83/6 and m.
12
Suppose 6*j - 45 = j. Let z = -2412 + 2454. Suppose j*y = 2*y + z. Calculate the lowest common multiple of y and 5.
30
Suppose -10*m - 2436 - 1104 = 0. Let y = 355 + m. What is the least common multiple of y and 5?
5
Find the common denominator of 115/6 and (3/3528)/((-7485)/750 + 10).
588
Let v = -55 - -55. Suppose -9*t + 15 + 21 = v. Suppose 3*i - t*m - 29 = 0, i = 6*i + 3*m. What is the lowest common multiple of 5 and i?
15
Let w(q) be the first derivative of -2*q**3/3 - q**2/2 + 30*q + 27. What is the least common multiple of 51 and w(0)?
510
Suppose -11*i = -2*x - 14*i + 59, -2*i = 2*x - 58. Let n(s) = -2*s**3 + 5*s**2 + 6*s - 1. What is the smallest common multiple of n(3) and x?
56
Let q(f) = 34*f**2 - 2*f - 1. Let m be q(-1). Let n be 4684/(-10) + 14/m. Let y = n - -2755/6. Find the common denominator of y and 19/8.
24
Let t = -113629/817740 - -81/8260. What is the common denominator of -131/2646 and t?
29106
Let o = 260731/14352 + -1/4784. Calculate the common denominator of -103/2334 and o.
2334
Let j = 57 + -57. Let a(o) = 2*o**3 - o**2 - 2*o + 270. What is the smallest common multiple of 16 and a(j)?
2160
Suppose 0 = -7*m + 2*m + 3*j + 26, 0 = -3*m + 3*j + 18. Let a = -4642 - -4238. What is the common denominator of a/32 - (-6)/m and -49/18?
72
Let c(v) = v**2 - 5*v + 18. Let z be c(-8). Suppose -269 = -7*h - z. What is the smallest common multiple of h and 35?
105
Let g(i) = 46*i**3 + 18*i**2 - 8*i + 8. What is the smallest common multiple of g(1) and 688?
2752
Let y = -16 + 14. Let o be (0 - 4/(-10)) + (-90)/(-25). Calculate the common denominator of 91/38 and (-60)/(-18)*3/o - y.
38
Let y = 368 - 1114/3. Let i(p) = p**3 - 21*p**2 + 16*p - 40. Let n be i(16). What is the common denominator of -4*7/n*-1*41 and y?
114
Suppose 0 = -19*d + 14*d + 20. What is the smallest common multiple of 7 and (-6)/d + (-255)/(-34)?
42
Let d = -16978 - -17098. Calculate the lowest common multiple of 72 and d.
360
Let n(v) = -434*v**3 + 435*v**3 - 11*v - 21*v - 8 + 7*v**2. Calculate the least common multiple of 44 and n(-10).
132
Suppose 66*f - 69387 = -39*f - 19932. Calculate the least common multiple of f and 6.
942
Let c = 207 + -177. Suppose -c*r = 6*r - 108. What is the least common multiple of 30 and r?
30
Calculate the least common multiple of (-196 - (-44)/(-99)*9)/(-2) and 12.
300
Suppose -21*l + 29*l - 2640 = -25*l. What is the least common multiple of l and 120?
240
Let y(c) = -2*c**2 - 13*c - 14. Let q be y(-4). Let k be (-124)/q*375/(-10). Let v = k + -3135/4. Find the common denominator of v and 121/18.
36
Let f(v) = v**3 + 23*v**2 + 50*v + 74. Let y be f(-22). Let w = 8132/15 + y. What is the common denominator of 28/69 and w?
345
Let l be (-3)/7 - ((-5785194)/(-2249226) - 3). Let c = l + 857544539/535530. Let a = -1600 + c. Find the common denominator of a and 5/18.
90
Suppose 0 = -3*s + 12. Suppose s*z + 0*z = 36. Suppose -10*l + 8*l + 14 = 0. What is the smallest common multiple of l and z?
63
Let i = 78736459/3170 + -24838. Find the common denominator of 55/2536 and i.
12680
Let f(d) = -d + 3. Let m(l) = -48. Let s(q) = 6*f(q) + m(q). Calculate the least common multiple of s(-20) and 6.
90
Let b = -37948123/798 + 47554. Find the common denominator of b and 181/1140.
7980
Suppose 0 = -89*n + 104*n - 75. Suppose 40 = 2*d - 14. Suppose -2*p - n = -d. Calculate the lowest common multiple of 52 and p.
572
Suppose -5*n + n - 4 = -w, -2*w - 4 = -2*n. Let k = -227483/14 + 16241. What is the common denominator of 3/36*3 + 4/w and k?
28
Let r(u) = 19*u - 42. Let v be r(10). Suppose -a = 2*a + n - v, 4*a - 229 = 5*n. Suppose a + 30 = 3*y. Calculate the least common multiple of y and 18.
54
Let q be (-24)/201232*(-1861354)/(-63). Let x be (-8)/(-28) - 50294/176078. Let i = q - x. Find the common denominator of 73/6 and i.
42
Let b = 31/2 + -25. Let o be 10/276*(-2)/(4/(-9)). Let r = o - -314/437. What is the common denominator of b and r?
76
Let z(d) = 10*d**2 - d - 2. Suppose 4*t - 132 = -2*x - 2*x, -3*t = 2*x - 100. Suppose 4*i - 38 = t. Calculate the smallest common multiple of i and z(-1).
18
Suppose -l - 173 + 167 = 0, -2*r + 46 = -5*l. Suppose -2*u + 7*u - 520 = 0. What is the least common multiple of u and r?
104
Suppose w + 2067 = 37012. Suppose w = -7*j - 10541. Let b = 324953/50 + j. Find the common denominator of 61/4 and b.
100
Suppose 14*f - 37*f + 8625 = 0. Suppose 366*q + 72 = f*q. What is the lowest common multiple of q and 526?
2104
Let x be 2*2*(-3)/4. Let v = x + 11. Let t(i) = i**2 - 140*i + 3878. What is the least common multiple of v and t(38)?
8
Suppose 5*n + 65 = 240. Calculate the common denominator of n/98*294/12 and 83/72.
72
Let z(x) = 96*x + 12648. What is the lowest common multiple of z(-123) and 24?
840
Let f = 483 - -2002. Let m = -12366/5 + f. What is the common denominator of m and -35/302?
1510
Suppose k - 110 + 120 = -3*g, -4*k - 4*g - 8 = 0. Calculate the least common multiple of k and 141.
282
Let c = -75 + 66. What is the common denominator of 31/14 and 17/(-24)*c + 1?
56
Suppose -78*u - 4531 = -55727 - 30080. What is the lowest common multiple of u and 2?
1042
Suppose 3*j - 1622 = 4*h, -93 = 4*j + 5*h - 2297. Suppose -1448*r + j = -1442*r. What is the lowest common multiple of r and 65?
455
Let i(r) = 2*r - 77. Let n be i(0). Let j = 16 + n. Let s = j - -73. Calculate the lowest common multiple of s and 24.
24
Suppose g - 510*t - 4 = -509*t, -4*t = 4*g - 48. Calculate the lowest common multiple of 412 and g.
824
Let a = -17154 - -12110. Let d = a + 201817/40. Find the common denominator of -42/25 and d.
200
Let d(g) = 56*g**2 + 45*g - 171. Let c(z) = 19*z**2 + 15*z - 57. Let f(m) = -17*c(m) + 6*d(m). What is the lowest common multiple of f(3) and 36?
1260
Let z = 631577 + -250104629/396. What is the common denominator of z and -37/22?
396
Let k be 1400/(-6)*((-880)/32 + 14). Suppose -k = -18*v - 3*v. Calculate the lowest common multiple of v and 6.
150
Let x(b) = 7*b + 58. Let t be x(-9). Calculate the lowest common multiple of ((t - 9) + 4)/(5/(-6)) and 76.
228
Let r = -864276 + 76056287/88. Calculate the common denominator of (-289)/(-240) - (-4)/(-6) and r.
880
Let l be 2/2 - 58669950/(-3). Let s = 898367161/46 - l. Let d = s + 26929. Calculate the common denominator of d and 59/20.
460
Suppose 4*b - 4260 = -6*b. Suppose -z - b = -741. What is the least common multiple of z and 21?
315
What is the common denominator of -9/205 and ((-416)/(-30))/(-2)*(-351)/(-1638)?
1435
Let d = 88 + -110. What is the smallest common multiple of (-326)/d + (-10)/(-55) and 3?
15
Find the common denominator of 1/(-90)*