pose -14515*l + 14474*l = -492. What is the lowest common multiple of j and l?
48
Let d be (9 + (-95)/10)*(-9 - -1). Suppose d*r + 3 = -21. What is the common denominator of 121/6 and 2/r + (-166)/(-48)?
24
Suppose -4*u + 6*n + 279 = 5*n, 141 = 2*u + n. What is the least common multiple of u and 350?
350
Suppose 8*l = -3*l + 33. Let n(v) = 11*v + 11. What is the lowest common multiple of 32 and n(l)?
352
Let i(c) = -10*c - 127. Let s be i(0). Let k = -107 - s. What is the lowest common multiple of k and 25?
100
Let c(i) = -7*i - 16*i + 3 + 0 - 9. Let w be c(-3). Suppose -7*g + w = -4*g. What is the smallest common multiple of g and 2?
42
Let h be (-7 + 8/4)*-2. Suppose -3*m + 6 = -2*l + l, h = 5*m + l. What is the least common multiple of m and 3?
6
Suppose 101*w - 372 = 436. What is the smallest common multiple of 113 and w?
904
Let h = -60243/1045 - -1105/19. Let s = 17278/18585 + 7/531. Find the common denominator of s and h.
385
Let l(a) = -a**3 + a**2 - 3*a + 22. Let h(r) = -2*r**2 + 11*r + 21. Let q be h(7). What is the lowest common multiple of 96 and l(q)?
1056
Let v = -4087 + 4073. Find the common denominator of 1 + 2/(-12)*109 and v.
6
Let b(s) = -s**2 - 6*s - 3. Let m be b(-5). Suppose -9*u + 63 = 45. Calculate the lowest common multiple of m + (6/(-2) - -43) and u.
42
Let z(k) = -2*k**3 + 170*k**2 - 108*k + 171. Calculate the smallest common multiple of 2123 and z(84).
57321
Let t be (-8)/(1 - 3) - (1 - 511). Suppose t + 114 = c. What is the smallest common multiple of 4 and c?
628
Let p = -262793/31384 - 6/3923. Find the common denominator of p and 1/3176.
3176
Let l = -2781878/5 - -1758146997/3160. Calculate the common denominator of -65/316 and l.
3160
Let q(i) = -i**3 - 19*i**2 - 40*i - 374. Calculate the least common multiple of q(-19) and 18.
3474
Suppose -37*t + 6763 + 10553 = 0. What is the least common multiple of t and 988?
8892
Let g = 247993523/399966 + -66348/107. Find the common denominator of -73/2937 and g.
41118
Suppose -y - 4*y = -30. Let n(k) be the first derivative of -k**2/2 + 7*k + 20. What is the least common multiple of y and n(2)?
30
Let j be (-1759069)/(-52)*14/17. Let q = j + -27856. What is the common denominator of -2 + ((-21574)/(-264))/7 + (-21)/231 and q?
204
Let w(i) = -5*i**2 + 34*i - 10. Let d be w(6). Suppose 4*a = y - 28, -3*a = -2*y + 22 + d. Calculate the smallest common multiple of y and 2.
12
Suppose 5*f = -4*j + 7, -141*j + 142*j + 5*f = -17. Calculate the lowest common multiple of j and 564.
1128
Let d = 32 - 2. Let f = d - 22. Suppose 11*u + 8 = 12*u. What is the least common multiple of f and u?
8
Let q be (763330/240)/(1/2). Suppose 19058 = 3*w + 2*j, -w - 3*w - 4*j = -25412. Let y = w - q. Find the common denominator of y and -83/4.
12
Let p(t) = -37*t**2 - 12 - 4*t + 11*t + 0*t + 2*t**2. Let x be p(-11). Let h = -17389/4 - x. Find the common denominator of 11/100 and h.
100
Let y = 23/5181576927 - 98771795583149/105863071003228. Let g = y + 5/4179. What is the common denominator of g and 71/20?
220
Let p(q) = -36*q + 5164. Suppose -j = -5*j + 176. What is the lowest common multiple of j and p(142)?
572
Suppose -2*t = r - 1360, 25*t - 3*r = 28*t - 2040. Calculate the smallest common multiple of t and 136.
680
Let h = -472 + 5791/12. Let b be 0 + (-2)/(-6) - 9310/(-42). Find the common denominator of (1/(-15))/((-3)/b) and h.
60
Let j = -16 + -20. Let a = j - -16. What is the common denominator of -3/14 and (-15)/166*(76/a + 0)?
1162
Calculate the common denominator of -85/1452 and 6881/(-3528)*2 + (-25)/350.
4356
Let b = 337723 + -1677781/5. Let c = 455323/210 - b. Let n = 286/3 - 2411/24. Calculate the common denominator of n and c.
168
Let n = -90914/7 - -230830702/17773. Let h = 21561/2021044 + n. Let s = -3839/597 + h. What is the common denominator of 28/15 and s?
60
Let d(t) = -9*t - 149. Let b be d(-25). Suppose -3*n + 130 = b. What is the least common multiple of 6 and n?
18
Suppose 357 = -18*x - 2667. What is the common denominator of (-502)/x + (-40)/32 + -2 and (-37)/24 - 2/6?
168
Calculate the common denominator of 7/(-3) + 38485/18060 and (-74)/(-9)*(-8)/96.
756
Suppose 0 = -3*x - 5*u - 37, 4*x + 27 = x - 3*u. Suppose -t + 2*d + 16 = 0, 0*d - 3*d = 3*t - 3. What is the lowest common multiple of t and 30/x*12/(-15)?
6
Suppose -6*w = -3*w - 9. Let n = 19949/368 - 1392/23. Calculate the common denominator of n and 87/(-4) - (1 - w).
16
Let r = 23 + -17. Suppose -7 + 0 = q. Calculate the lowest common multiple of ((-22)/4 + 0)/(q/14) and r.
66
Let d(s) = -8*s - 4. Let h be d(0). What is the lowest common multiple of 4 and h/(-18) + (-736)/18*-2?
164
Suppose 24 + 9 = p. Suppose -4*b + 185 - p = 0. Find the common denominator of 3*b/108 - 2/(-12) and 27/5.
45
Let w(p) = p**2 - 5*p - 21. Let d be w(8). Find the common denominator of -7 + 50/5 - (-45)/22 and (-1)/(d + (-176)/57).
110
Let i(m) = -2*m**2 - 10*m - 7. Let d(k) = -k**2 - 5*k - 3. Let j(a) = -5*d(a) + 2*i(a). Calculate the lowest common multiple of j(-6) and 12.
84
Let c = -481 - -2855/6. Let q = -38 + 24. What is the common denominator of c and (q + 8)*58/(-8)?
6
What is the least common multiple of 130 and (-20616)/(-44) + (-1040)/(-110) + -10?
2340
Suppose -4*t + 965 = -148*m + 149*m, m = 5*t - 1195. What is the smallest common multiple of 5 and t?
240
Let g = 132947/975 + -1778/13. What is the common denominator of -44/315 and g?
1575
What is the common denominator of ((-2486832)/228312 - -11) + 1/(42/(-4)) and 127/906?
2718
Suppose -20 + 20 = -5*j. Suppose 4*y + 34 = -5*b + 529, y + 2*b - 126 = j. Calculate the smallest common multiple of y and 30.
120
Suppose -j = -7*v + 18 - 153, v = -5*j + 567. What is the lowest common multiple of j and 636?
12084
Let c(s) = s**2 - 5*s - 4. Let j(a) = a + 2. Let x be j(-5). Let m(p) = 7*p**2 + 1. Calculate the lowest common multiple of m(1) and c(x).
40
Let p = -80009005/1008 - -79374. What is the common denominator of -71/140 and p?
5040
Let i(p) = -p + 54. Let z be i(30). Calculate the common denominator of (-1 + 3)/z*38 and 85/12.
12
What is the common denominator of (18/54 - (-74)/(-130))/(-1*12) and -127/1260?
16380
Let p be (0 + (-4)/4)*-1. Let c be (3/6)/(-3*(-4)/168). Suppose 0 = b - c - p. What is the smallest common multiple of b and 34?
136
Let o = 9 + -7. Suppose 0 = -4*x - 6*b + 3*b + 127, -o*b = -3*x + 74. Let t = 6128 - 6120. What is the lowest common multiple of t and x?
56
Suppose -6732 = -3*s - 2*l, s + 6*l - 9*l - 2244 = 0. What is the least common multiple of 816 and s?
8976
Let h be ((-319)/(-220))/(1/217618). Let p = 316157 - h. Let v = 610 - p. Find the common denominator of v and 12.
10
Find the common denominator of ((-148)/72 + 2)*(-801)/336 and -55/112.
672
Suppose 12 = 3*s - 0*s. Suppose s*z - 4*n - 82 - 70 = 0, -5*n + 74 = 3*z. Suppose -4*i - 5*v = -36, 5*v = 8*v. What is the lowest common multiple of i and z?
99
Suppose -16 = -4*o - 4*o. Let g be (10/6 - 6/(-18))/o. What is the common denominator of g*(4 + (-711)/186) and 91/10?
310
Let v be (-2)/((-2)/(-7) - 24/(-210)). What is the common denominator of (v - -4 - -3) + 302/(-24) and 41/60?
60
Let b(f) = 4*f**3 + 86*f**2 - 47*f + 78. What is the smallest common multiple of ((-17)/(-34))/(1/14) and b(-22)?
1008
Let u = 5072305/198 - 25618. What is the common denominator of 137/162 and u?
1782
Suppose 2*j - 22*b - 12 = -18*b, j + 6 = -4*b. Suppose 2*m - j*v + v = 1, -v - 7 = -5*m. What is the least common multiple of 738 and m?
738
Suppose 0 = -4*i + u + 194017, 0 = 11*i - 6*i + 2*u - 242544. What is the lowest common multiple of i and 16?
388048
What is the lowest common multiple of 16 and 7888/68 - ((-48)/20 - 4/(-10))?
944
Suppose 0 = 74*t - 81*t + 21. Find the common denominator of (t/(-33))/(1/7) and 71/8.
88
Let j = 1219 - 9785/8. Let q be 360/(-1074) + 2/6. Let o = -13403/11814 + q. What is the common denominator of j and o?
88
Suppose 5246 = -6*u + 5336. Calculate the least common multiple of (-36)/(((-14)/84)/(17/9)) and u.
2040
Find the common denominator of 5*-1*165/840 and -30/707.
5656
Let u(w) = 2*w**3 + 18*w**2 + 41*w + 141. Calculate the least common multiple of 1500 and u(-7).
1500
Let w = 1589 + -1534. Calculate the smallest common multiple of 85 and w.
935
Let f = -15863 + 133