
24
What is the common denominator of -55/63 and (-140 - -134) + (-1858)/(-280)?
1260
Suppose 6*s - 1395 = 4*t + s, -t = 3*s + 353. Let f = t + 758. Find the common denominator of (-3)/((-4)/(f/99)) and -55/6.
66
Let i = -683 + 458. What is the common denominator of (-75)/20 - 4/6 and -1 + (i/(-2))/(-5)?
12
Suppose -q + 10 = q. Let d(a) = -a + 13. Suppose 0 = -3*m + 10 - 1. Calculate the lowest common multiple of d(m) and q.
10
Let k be 188/(-3)*(-39)/26. Let l = k + -84. What is the lowest common multiple of 14 and l?
70
Let s = 628 + -612. Calculate the smallest common multiple of 36 and s.
144
Calculate the least common multiple of 10 and ((-2260)/9)/((-238)/1071).
1130
Let q(r) = 2*r**2 + 13*r - 20. Let b be q(-8). Find the common denominator of (4 - 210/b) + 1 and -77/12.
12
Let h = 1107 - 1073. Calculate the least common multiple of 16 and h.
272
Calculate the common denominator of -8/55 and (-4085)/(-7800) + 18/(-48).
2145
Let h(u) = -u**2 + 37*u - 333. What is the lowest common multiple of h(18) and 221?
1989
Let a = -107537/14 - -7674. Find the common denominator of 137/30 and a.
210
Let g = 5 - 1. Let y = -2 - -2. Suppose y = -8*q + 13*q - 45. Calculate the smallest common multiple of g and q.
36
Suppose 28*t = 11*t + 1768. Calculate the least common multiple of t and 4.
104
Calculate the common denominator of (-123)/21*14*4/16 and 39/32.
32
Suppose -7 = 2*t - 21. Let h(d) = -d**2 + 8*d - 1. Let g(f) = f**2 - 8*f - 13. Let k be g(10). What is the smallest common multiple of t and h(k)?
42
Let j be 240229/18*4/58836*-3. Let g = -1/4903 + j. What is the common denominator of -47/18 and g?
18
Let c(s) = s**3 + 9*s**2 - 26*s - 27. What is the lowest common multiple of 22 and c(-11)?
374
Let n = -18664 + 783931/42. Calculate the common denominator of n and -77/18.
126
Let z(g) = 2521*g**2 + 4*g - 3. Let u be z(1). Find the common denominator of (-4)/14 - u/1365 and -77/8.
120
Let r = 37 + -260/7. Find the common denominator of r and ((-24)/32)/((-9)/(-102)) + -2.
14
Let n be (-2093993)/(-462) - 4/14. Let x = -4517 + n. Find the common denominator of x and -74/9.
18
Let i(d) = -d + 7. Suppose -4*p + 10 = -18. Let f be i(p). Suppose -2*q + 4*g = -f*q - 24, -4*q = 3*g + 7. What is the smallest common multiple of 10 and q?
10
Let l(z) = 6*z. What is the smallest common multiple of 548/56*2 - (-66)/154 and l(1)?
60
Let k(i) = -i - 67. Let d(s) = -33. Let u(w) = -7*d(w) + 4*k(w). Calculate the smallest common multiple of 1 and u(-10).
3
Let w = -3216405/819476 - -581/148. Let f = w + -393287/221480. Find the common denominator of f and 43/20.
40
Calculate the smallest common multiple of 8 and 160/(-64)*1048/(-20).
1048
Calculate the common denominator of (-502)/(-12) + ((-3875)/(-75))/31 and -1 + 2 + 535/(-50).
10
Suppose 0 = 3*x + x - 8. Suppose x*f + 9 = 5*f. Calculate the least common multiple of f and 9.
9
Let q = 1477859/64 + -23092. What is the common denominator of 131/36 and q?
576
Let f(p) = -3*p**2 + 2*p + 2. Let g be f(-1). Let c = 5 + g. Calculate the least common multiple of 2 and c.
2
Suppose 6*v = -1 + 19. What is the common denominator of (v/(-2))/(-3) + (-1484)/224 and -99/4?
8
Let b = 15/11 - -175/33. Calculate the common denominator of 79/2 and b.
6
Suppose 5*v + 9 = 3*a, 13*v - 12*v = 0. Calculate the smallest common multiple of 12 and a.
12
Let v = -228 + 238. Calculate the least common multiple of v and 4.
20
Suppose -24 + 2 = -2*q. Let k(v) be the first derivative of v**3/3 - 3*v**2 - 9*v + 5. Calculate the smallest common multiple of k(8) and q.
77
Let s be -2 + 1 - (6 + -12). Suppose s*t = -4*f + 62, 6*t + 3*f - 64 = t. What is the least common multiple of 22 and t?
154
Let a be (0 + 5)*(-24)/(-20). Let b = -3 - -2. What is the common denominator of (-267)/a + b - -3 and -65/4?
4
Suppose -c + 5 = -0*y - 2*y, 4*y - 3*c + 15 = 0. What is the common denominator of 31/4 and (-9)/(-36) + y + (-235)/36?
36
Let n be (88/33)/((-2)/3). Calculate the common denominator of (470/(-40))/((-33)/n) and -16/9.
99
Let r = 57 - 53. Calculate the lowest common multiple of 5 and r.
20
Let j = 16163/12 - 1356. Calculate the common denominator of j and 95/6.
12
Let k = -576/19 - -18237/532. Calculate the common denominator of -6/47 and k.
1316
Suppose -2*z + 24 = z. Let b = -5 + z. What is the common denominator of 14/12 - (-1 + b) and 145/6?
6
Let s = -6/305 - -3738/3965. Let q = -149/91 + s. Calculate the common denominator of q and 119/36.
252
Let u = 15 + -13. What is the smallest common multiple of 8 + (2 - (u - -4)) and 32/(-24)*-1*3?
4
Let f(z) = -8*z**2 - 2*z + 5. Let m be f(-4). Let d = -164 + 178. Find the common denominator of 4/14 + m/d and -53/12.
84
Suppose -3*j + 1222 = -5*m, -6*m - 3*j - 983 = -2*m. Let o = -806/427 - -28/61. What is the common denominator of o and (-1)/(-1) - m/(-50)?
70
Suppose 0 = -0*p - 5*p - 145. Let a be ((-111)/(-6))/((-2)/4*1). Let l = p - a. Calculate the lowest common multiple of 10 and l.
40
Let a(r) = r**3 + 6*r**2 + 2*r - 11. Let z be a(-5). Suppose -d - d = -z. Suppose d*h - 3*h + 1 = 0. Calculate the smallest common multiple of 8 and h.
8
Suppose -2*q + 5 = 3. Let i be (q/(-1))/(5/20). What is the common denominator of 7/10 and ((-5)/10)/(i/78)?
20
Let m be ((-4)/5)/((-2)/(-15)). Let r = m - -16. Suppose r - 5 = q. Calculate the least common multiple of 7 and q.
35
Let b(p) = 73*p. Suppose -2*k - 4*x = -6*k + 24, -8 = -2*x. What is the least common multiple of k and b(2)?
730
Let x = -59037 + 13637581/231. Find the common denominator of -47/6 and x.
462
Let y(z) = 7*z**2 + 196*z + 8. Calculate the least common multiple of y(-28) and 300.
600
Let y = 396644063/18 + -22029151. Let i = -6627 + y. Let q = 5487/8 - 2793/4. What is the common denominator of i and q?
72
Let n be (0 - (-86)/144) + (-38)/171. Let v = -177/8 - n. Calculate the common denominator of -67/8 and v.
8
Let n = 87781/25320 - 9/1055. What is the common denominator of -83/146 and n?
1752
Let v(m) = m**3 + 27*m**2 + 50*m + 30. Calculate the smallest common multiple of v(-25) and 87.
870
Suppose -2*k + 5*m = 573, 4*m - 288 = -k + 2*k. Let o = -27413/10 - -2745. What is the common denominator of 2 - k/(-16)*-1 and o?
20
Let p(b) = -b + 136. What is the smallest common multiple of p(45) and 77?
1001
Suppose 216 = -5*h - 159. What is the common denominator of (-2)/6*43 - 1 and (-66)/h*15/12?
30
Suppose -6*y + 14 = -3*h - y, -12 = -4*h - y. Let g be 129/15 - 2/(-5). Let o = -5 + g. What is the least common multiple of o and h?
4
Calculate the least common multiple of (-2 + (-38)/(-5))/(4/10) and 22.
154
Suppose 5 = n - 2*n. Let z = 8 + n. What is the least common multiple of 8/z*(2 - -4) and 22?
176
Let x be (1/(-2))/((-7)/(84/(-6))). What is the common denominator of 47/21 and x/(-22)*124/6?
231
Suppose 27*w = 33*w - 420. Calculate the lowest common multiple of w and 14.
70
Suppose -3 + 13 = 5*s. Suppose -a - 110 = -s*a. Suppose -5*i - w = -5*w - a, -110 = -5*i - w. What is the smallest common multiple of 2 and i?
22
Let n(t) = -t**3 - 4*t**2 + 5*t - 7. Let f be n(-5). What is the common denominator of (-444)/15*f/(-28) and -28/9?
45
Let p be 7 - (1 - ((4 - 2) + -4)). Find the common denominator of p/(-18) + (-1843)/9405 and 11/8.
440
Let t(w) = 6*w**3 + w**2 - 2*w + 2. Let s be t(1). Let k(j) = -j + 27. Let a = 3 - -5. Calculate the least common multiple of a and k(s).
40
Let s = -1253 - -1255. Calculate the lowest common multiple of s and 266.
266
Suppose 3*g - 4*r = 7*g + 36, 0 = -4*g + 2*r - 24. What is the lowest common multiple of ((-6)/(-5))/(6/20) and (-17 - -13)/(2/g)?
28
Let u be ((-2)/(-1))/(-1 - 6/(-4)). What is the common denominator of (u/(-40))/(2*(-1)/89) and -57/10?
20
Suppose 4*h = -2*o - 47 + 279, 0 = 2*o - 3*h - 211. Calculate the smallest common multiple of o and 90.
990
Suppose -27*z = -12*z - 825. Suppose -377*m + 382*m = z. Calculate the smallest common multiple of 1 and m.
11
Let w = 8667382/35 + -247672. Let c be ((-596)/80)/((-4)/16). Let d = w + c. Find the common denominator of d and 97/8.
56
Suppose 0 = 5*o - 0*o - 30. Calculate the lowest common multiple of -5 + 3 - (14 - 20) and o.
12
Let b be (180/42)/(2/(-14)). Calculate the smallest common multiple of (6 + 0)/(b/(-70)) and 64.
448
Find the commo