t k be t(0). Find the common denominator of (-4)/(-10) + x/k and 23/18.
18
Let j = -22 + 29. Suppose 0 = 11*r - j*r - 32. Let d = 8 - 1. What is the least common multiple of r and d?
56
Find the common denominator of ((-5968)/(-2982) + -2)/(15/1080) and -83/63.
4473
What is the common denominator of (-7)/((-42)/(-474))*(-2)/16 and 143/426?
1704
Find the common denominator of 25/19 and (164/5453)/((-4)/54).
133
Let o = -1393 + 1731. Calculate the lowest common multiple of 91 and o.
2366
Let s = -1669/5 + 29597/90. What is the common denominator of 63/886 and s?
7974
Let w(g) = -24*g**3 + 8. Let l be w(-4). Let r = 11269/4 + -2793. What is the common denominator of l/224 - (-1)/(-4) and r?
28
Let m = -135 + 225. What is the least common multiple of 30 and m?
90
What is the lowest common multiple of (-8)/(-2) + 75 + -34 and 25?
225
Suppose 0 = 2*z + 5*s - 31, 3*z + s - 5 = 9. Calculate the lowest common multiple of 137 and z.
411
Let w(x) = 0 - 6 + x + 6 - 1. What is the smallest common multiple of 14 and w(3)?
14
Let a be (-21)/(-14)*(-8)/(-6). Suppose 4*c = -0*f - f - 24, a*c - 5*f + 34 = 0. What is the lowest common multiple of 6 and c*(-2 + (-2 - -2))?
42
Let p be ((-10)/(-6) - -1)/((-4)/(-12)). Find the common denominator of (2/(-32))/(2/(-372)) and p/((-72)/(-87))*(-1 + -1).
24
Let z(m) be the first derivative of -m**4/4 + 2*m**3 - 3*m**2/2 + m + 2. Let q be z(5). Find the common denominator of (-2)/4*q/(-77) and 55/14.
14
Let b(p) = p - 1. Let x(c) = -8*c + 50. What is the smallest common multiple of b(3) and x(4)?
18
Let f = -8263/8 + 1033. What is the common denominator of -67/226 and f?
904
Let i = -6 + 11. Suppose i*w = 40 + 30. What is the least common multiple of w and 16?
112
Let k(p) = -4*p + 12. Let l be k(7). Let a = 17 + l. What is the least common multiple of a and 2?
2
Let x = 317 + -458. Find the common denominator of (-9)/6*x/63 and ((-2)/15)/((-8)/(-606)).
70
Find the common denominator of -95/178 and 1/((-2)/9)*(-1290)/(-774).
178
Let x = 31237/10 + -3131. Find the common denominator of x and -109/12.
60
Calculate the common denominator of 62/33 and (50/12)/(24/40).
198
Let f(p) = p**3 - 33*p**2 + 67*p - 56. What is the least common multiple of f(31) and 54?
594
Let h = 16 - -12. Suppose -h = -9*q + 53. Calculate the least common multiple of 24 and q.
72
Let q = 146037/22 + -6633. Find the common denominator of -43/102 and q.
1122
Suppose -5*b + 2*d = -401, -4 = -4*d + 4. What is the least common multiple of 9 and b?
81
What is the common denominator of ((-7685)/159)/(-2*(0 + -1)) and 85/6?
6
Suppose -849 - 956 = -34*o - 275. Let c = -2 - -32. What is the least common multiple of o and c?
90
Let r = -343041/35 - -9802. Find the common denominator of r and -13/20.
140
What is the common denominator of -31*(-2)/70 - (-5 + 7) and -51/65?
455
Let o be (2 + (-7)/3)*-2*9. What is the common denominator of 30/11 and 9/o + 75/(-42)?
77
Let w = 40681/89010 + -1/1935. Let h = 9669/4 + -2433. What is the common denominator of w and h?
92
Suppose x + p - 75 = 0, -4*x - 27*p + 26*p = -300. Calculate the lowest common multiple of 42 and x.
1050
Let b(i) = -2*i - 3*i - 5 + i**2 + 4*i + 7*i. Calculate the least common multiple of b(-9) and 20.
220
What is the smallest common multiple of 1*3 + (-16 - -21 - -3) and 2393?
26323
Let p(h) = -h**3 + h + 9. What is the lowest common multiple of 1 and p(-5)?
129
Let z be ((-5)/14)/(1/(-6491)). Let f = z + -2317. Let s = -10874/1125 - 1/1125. What is the common denominator of f and s?
42
Let q = 340223/36 + -38449/4. Let s = -1336/9 - q. What is the common denominator of 100/42 - 4/(-14) and s?
6
Let p = -2 - 1. Let w(s) = 4*s - 1. Let o(a) = 13*a - 1. Let d(t) = 2*o(t) - 7*w(t). Calculate the least common multiple of d(p) and 5.
55
Let i(r) = 7*r + 173. Calculate the least common multiple of i(-20) and -1*3*(-9 + 2).
231
Suppose -2*j = -7*j + 75. Suppose 2*k = x + 7, 3*x - 4*k = -3*k - 16. Let n = x + j. What is the smallest common multiple of n and 8?
40
Let f(r) = r**3 - 20*r**2 - 35*r + 371. Calculate the least common multiple of f(21) and 154.
154
Let p = 4729 - 364160/77. Find the common denominator of -79/231 and p.
231
Suppose a = -3*u + 5, -11*a - 3*u + 20 = -7*a. What is the smallest common multiple of 63 and a?
315
Let r = 775/2 - 8105/21. Let f = -10219/450 + 358/25. Calculate the common denominator of r and f.
126
Let y(s) = s**3 + 6*s**2 - s - 8. Suppose 0 = w - 1, -b - 3*w + 8*w = 11. Let x be y(b). What is the common denominator of (-58)/(-5)*(-1)/x and -46/3?
15
Let o be (3/(-12) + -2)/(18/(-48)). What is the common denominator of 37/7 and o/76*(-1 - -37)?
133
Let l = 404624 - 236164. Let t be (-1)/(-10)*l/2192. Let a = t + 26/137. Find the common denominator of -121/12 and a.
24
Let o be -1*(3 + -2 + -5). Suppose -o*n - 2 = -10. Suppose -5*j + n*v + 44 = 0, -3*j = 3*v - 23 + 5. Calculate the lowest common multiple of j and 12.
24
Let q be ((-145736)/(-660) - 0)*-2. Let g = 2211/5 + q. What is the common denominator of g and -46/21?
231
Suppose -3*n = 2*l - 4*n - 26, -l + n = -11. Suppose -3*r + 2*y = -80, -13*r = -15*r + 3*y + 45. What is the smallest common multiple of l and r?
30
Suppose 3*k = -4*u + 16 - 3, 3*u = -5*k + 7. Suppose u*x - 53 = -21. Let a(v) = -v**3 - 3*v**2 - 2*v - 2. Calculate the smallest common multiple of x and a(-3).
8
Let c(h) = -h**2 - 3. Let s be c(0). Let m = s - -6. Calculate the least common multiple of 7 and (-4)/12 + 31/m.
70
Let p = -4545/2 + 2228. What is the common denominator of -13/80 and p?
80
Let m = -140 + 150. Calculate the smallest common multiple of 4/((-1)/(18/(-4))) and m.
90
Let m = 12455/8 - 1555. Calculate the common denominator of 61/4 and m.
8
Let d = -59/12 - -5. Find the common denominator of d and 64/30 - 2 - (-470)/(-600).
60
Suppose -418 - 68 = -18*w. What is the least common multiple of 135 and w?
135
Suppose 2*v + 1 = v - 2*o, 3*o = 4*v - 51. Suppose 76*y = 1060 + 5552. Calculate the least common multiple of v and y.
261
Suppose -5*g - 113 = -4*m + 62, -2*m = 3*g - 71. What is the smallest common multiple of m and 10?
40
Let b = -7650982 - -183423307/24. Let p = -8349 - b. Find the common denominator of ((-28)/22)/(8/6) and p.
264
Let q(g) = 2*g**2 + 21*g - 57. What is the least common multiple of q(-13) and 108?
216
Suppose -12*v + 666 = -690. Calculate the lowest common multiple of v and 6.
678
Let j = 12155/84 + -289/2. Find the common denominator of j and 67/204.
1428
Suppose 0 = -13*d + 33 + 110. What is the least common multiple of d and 31?
341
Suppose -4*j + 56 = -5*w - 5*j, -5*w - 4*j = 44. Let u be (27/w)/(6/(-32)). What is the common denominator of -73/6 and (8/(-228))/(u/711)?
114
Let n(a) = 2*a**3 + a**2 - 9*a + 3. Let y be n(7). Let m be y/(-126)*(-20)/69. Let d = m + 12727/2898. What is the common denominator of d and -1/14?
126
What is the common denominator of 97/26 and (2/(-10))/((-92)/1334)?
130
Let z = -9200467/126 - -73020. Find the common denominator of z and -133/6.
126
Suppose -2*k - 458 = -4*b, 7*k - 465 = -4*b + 2*k. Suppose -b = 6*j - 11*j. Let n = -15 + j. What is the smallest common multiple of 3 and n?
24
Let r(m) = -m**3 + 4*m**2 + 2*m + 4. Let s be r(4). Suppose 16 = 4*x - s. Calculate the smallest common multiple of 8 and x.
56
Let r = -81 + 85. Suppose -r*o + 2*d = 118, -5 - 1 = -2*d. What is the common denominator of o and -38/41?
41
Let x be -3 - (-6)/3 - -7. Let f(a) be the first derivative of -a**4/4 + 7*a**3/3 - 3*a**2/2 + 2. Calculate the least common multiple of 18 and f(x).
18
Let n(w) = 3*w**3 - 9*w**2 + 4. What is the lowest common multiple of 20 and n(3)?
20
Suppose 4*n = 4*t + 64, 3*t + 0*n + n + 56 = 0. Calculate the common denominator of -83/46 and t/(-44) + 2 + (-9)/(-9).
506
Let j = 50393/22 + -2291. Let d = -203309/14 + 14514. Calculate the common denominator of d and j.
154
Suppose 4*u - 30 = 9*u. Find the common denominator of 1/u*(-51)/4 and 67/12.
24
Let j be ((-2826)/(-27))/((-2)/3). Let a = 50 + j. Calculate the common denominator of 13/2 and a/((-3)/(9/78)).
26
Let j be 4/(-6)*(1 + (-192 - -2)). Suppose -5*u = -p - j, -u + 28 = -2*p - p. Calculate the smallest common multiple of 35 and u.
175
Suppose -34 = -4*p + 3*p. Suppose 35*b - p*b - 6 = 0. What is the commo