5. Suppose -2*x + 33 = t. Calculate the least common multiple of x and w.
99
Let f(l) = -l**2 - 9*l - 4. Let j be f(-7). Suppose 0*i + i = -j. Let k = i - -26. Calculate the smallest common multiple of k and 12.
48
Suppose t + 35 = 6*t. Suppose -27 = -m - 2. Suppose 2*k = 5*r - 19, -2*r + m = 5*k - 0*r. Calculate the least common multiple of t and k.
21
Suppose 5*h = -t - 222080, -5*t - 177653 = 4*h - 2*t. Let p = h - -1332641/30. Calculate the common denominator of p and -49/15.
30
Let f(z) = z - 26. Let t be f(17). Let h = t + 8. What is the least common multiple of (-5)/5 + h + 4 and 11?
22
Let t be (-94)/(-37) + 1 + -4. Let h = t - 459/370. Calculate the common denominator of h and (-4)/(40/1965)*5/(-90).
60
Suppose -3*k - 111 = -2*w - 2*k, -w + 58 = -3*k. Calculate the least common multiple of 45 and w.
495
Let y(s) = 2*s**3 + 12*s**2 - 37*s - 37. What is the least common multiple of 296 and y(-8)?
888
Suppose 0 = -7*v + 378. What is the least common multiple of v and 36?
108
Suppose 4*b = 15 - 163. Calculate the common denominator of -11/24 and ((-1)/(-11))/((-1)/b).
264
Let a(m) = -m**3 - 58*m**2 + 57*m - 34. Calculate the smallest common multiple of a(-59) and 324.
2268
Suppose 6*k + v = 5*k - 362, 2*k + 745 = 5*v. Find the common denominator of k/(-2)*(-2)/(17 - 7) and 85/16.
16
Let b(c) be the second derivative of c**3/3 + c**2 + 8*c. Let v be b(-4). Find the common denominator of 51/72 - v/9 and 93/4.
8
Let s be (5 - (-70)/(-15))*-24. Calculate the common denominator of 15/2 and (-831)/216 - 1/s.
18
Let x = 2/51035 - 4746319/1633120. What is the common denominator of x and -121/192?
192
Let n(o) = 14*o - 208. What is the least common multiple of 236 and n(15)?
236
Let f = -1807830 - -36143163/20. Let z = f - -672. Find the common denominator of 30/((-1)/(8/(-6))) and z.
20
Let n = -6/473 - 584/1419. Find the common denominator of n and 82/33.
33
Let o = -1/112 + -2377/336. Let a(f) = 4*f**2 + 2*f - 2. Let z be a(-3). Calculate the common denominator of 4/(352/9)*z and o.
132
Let f = 2707/86 - 42/43. Let a be -1*1 + (-11 - -7 - -4). What is the common denominator of f and 15/140*(93/(-9) + a)?
14
Let g = -1284/17 + 17363/204. Calculate the common denominator of 37/476 and g.
1428
Let a = 108 + -248. What is the common denominator of -67/8 and 4/10 + (-314)/a?
56
Let m = 328 + -322. What is the smallest common multiple of 45 and m?
90
Let l be ((-13)/417)/((-26)/39). Let n = -14269/1946 + l. Find the common denominator of -75/2 and n.
14
Let q = 1339/96 - 25/32. Find the common denominator of q and 166*((-115)/40 + 3).
12
Suppose 8*o - 379 = -91. What is the least common multiple of 2 and o?
36
Let v = 645562/278749 - 2/14671. Calculate the common denominator of v and 11/3.
57
Suppose 170*w + 135 = 173*w. What is the lowest common multiple of w and 99?
495
Suppose 5*j = -25, -5*a + 14 + 31 = -4*j. Calculate the lowest common multiple of 457 and a.
2285
Suppose 3*s - 13 = 8. Let q = 13 - 20. Let c = -5 - q. What is the least common multiple of c and s?
14
Let r be (-6)/4 + 66/12. Suppose r*f - 60 = -4*a, 4*a + a = -4*f + 63. Calculate the lowest common multiple of f and 5/((-5)/3) - 9/(-1).
12
Let h(m) = 7*m**2 + 11*m - 9. Let z be h(5). What is the common denominator of -1 + (-142)/36 + -1 and (-350)/(-936) + 34/z?
36
Let k = -9008 + 189220/21. What is the common denominator of 23/35 and k?
105
Suppose 7*s - 20 = 12*s. Let f(x) = 2*x**2 + 5*x + 4. What is the least common multiple of 18 and f(s)?
144
Suppose 0 = -2*a + 4*c + 8, 27 = 4*a - 4*c - 5. Suppose -k + a = -3*b, -4*k - 4*b = -2*b - 20. Calculate the least common multiple of 3 and k.
6
Let k be (4 - 62/15)*11705. Let q = k - -1536. What is the common denominator of q and ((-124)/10)/((-120)/(-225))?
12
Let y be 0 + 1/(2600/816428798858). Let f = 314011046 - y. Let p = 752/25 + f. What is the common denominator of p and 33/16?
208
Suppose -2*q - 125 = -7*q. Let g = q - 14. What is the lowest common multiple of 5 and g?
55
Let a = 275 - 263. Let p be -2 + (-2)/(-1) + 6. Let y = a - p. Calculate the smallest common multiple of y and 2.
6
Let o = 24665/3484 - -10/2613. Find the common denominator of 44/273 and o.
1092
Let j = 405 - 389. Calculate the lowest common multiple of 138 and j.
1104
Suppose -230*d = -246*d + 144. Suppose -5*t - 15 = 0, -5*g + t - 5 = -63. What is the lowest common multiple of d and g?
99
Let j = 6407485/414 + -15477. Calculate the common denominator of j and 103/506.
4554
Let t = -8618 + 3909. Let h = t + 89518/19. Find the common denominator of h and 2 - (0 + (-225)/(-24)).
152
Let h = 47 + -29. Let j be (-5656)/6 - h/(-6). Let r = j + 959. Find the common denominator of r and -91/2.
6
Let i(f) = f**3 + 13*f**2 + 12*f + 4. Suppose 2*q + 26 = -2*j + 4*q, -3*q = -5*j - 63. What is the least common multiple of i(j) and 20?
20
Let z = -2061/344 - 38/43. Let p = -120 - -604/5. What is the common denominator of p and z?
40
Suppose -131*y - 297 = -140*y. Suppose -44 - 61 = -5*o. Calculate the lowest common multiple of y and o.
231
Let u(o) = -o**3 + 3*o**2 - 3*o + 5. Let i be u(5). Find the common denominator of 3 + (-5)/i + 0 and -2*3/(48/86).
12
Calculate the common denominator of -51/98 and (-1353)/(-112) - (-11 + 24).
784
Let v = 1 + 17. Let j(r) = -17*r + 1022. Calculate the smallest common multiple of j(60) and v.
18
Let h = 1524 + -24393/16. Let n be 1 - (-3)/(6/(-38)). Find the common denominator of n/(-44) + 3/(-6) and h.
176
What is the common denominator of (25/(-40))/((-9)/612) - 5 and 143/108?
108
Suppose 28 = 2*o - 32. Let i = -254 - -266. Calculate the smallest common multiple of i and o.
60
Find the common denominator of (-455)/171 + 32/304 and -55/6.
18
Suppose -4*b + 28 = -2*b. Let k = b - -3. Let i = 5 + k. Calculate the lowest common multiple of 4 and i.
44
Let d be 0/3 + (-90410)/11. Let t = d + 8236. Let u = t - 358/55. Find the common denominator of u and 37/11.
55
Let h = 21/856 + 31525/5992. Let l be 10/(-3) + (-4)/6. Find the common denominator of h and l/(-30)*213/4.
70
Let g = -9/3086 + 223789/18516. What is the common denominator of g and -2/3?
12
Let u(h) = -17*h**2 - 5*h + 2. Let y be u(3). Find the common denominator of (-1)/2*1*91 and 3*2/(-36) - y/(-21).
14
Let v = -40360/11 - -3664. Let p = 19367249185/15986554018 + 3960/284671. Let c = p + -21/1306. Find the common denominator of v and c.
473
Let w be (-4)/(4/4 + -3). Suppose -m + w*m - 5 = 0. Let p = -4 + m. What is the smallest common multiple of p and 2?
2
Suppose 3 + 3 = 3*r. Suppose -21 = -r*j - j. What is the smallest common multiple of 7 and 1/(1 + (-6)/j)?
7
Let m(s) = -45*s + 1. Let l be m(-1). Let j = l - 35. What is the smallest common multiple of 5 and j?
55
Suppose 0 = -4*x - 7 + 119. Let p = x + -24. What is the smallest common multiple of 2 and p?
4
Let k(b) = b**3 + 13*b**2 + 13*b + 18. Calculate the least common multiple of k(-12) and 24.
24
Suppose 0 = 5*m - 0*m - 100. Calculate the least common multiple of 40 and m.
40
Let i be -164*(5/45 - 0). Let u = -4352/225 - i. Calculate the common denominator of -47/2 and u.
50
Suppose 17*g + 210 = 890. Let j = g - 233/5. Calculate the common denominator of 51/56 and j.
280
Let t(g) = g**3 - 4*g**2 + 3*g - 3. Let h be t(3). What is the lowest common multiple of (1 - -1)*(-41)/(-2) - h and 4?
44
Find the common denominator of ((-3)/39)/((-432)/106 - -4) and 7/143.
572
Find the common denominator of -103/188 and -75*14/1176 - 0/1.
1316
Let h = -55926 - -3690983/66. What is the common denominator of -121/48 and h?
528
Let s = 247 + -239. Let r = 0 - 0. Suppose -s = -h - r. Calculate the lowest common multiple of 18 and h.
72
Let i be 0 - 2 - (-2)/(-1). Calculate the common denominator of -31/8 and (-135)/(-12) + i + 3.
8
Suppose -142 = -30*a + 278. Calculate the lowest common multiple of 198 and a.
1386
Let f = -241231/24 - -94097/8. Let m = -1720 + f. Calculate the common denominator of m and 285/56 - 4/(-14).
24
Suppose 2*u - 8 = -m - 3*u, -4*u - 8 = -4*m. Suppose 36 = 3*z + 3*n, z - n - m*n = 7. Suppose -9*l = -4*l - 40. What is the least common multiple of z and l?
88
Let v = -1974589/146 - -13525. What is the common denominator of -53/4 and v?
292
Calculate the common denominator of 12/(-2) - (2440/(-176) + 3) 