 Let j be (-26)/w*(-22)/(-24) + -4. Let c = 13/12 - j. What is the common denominator of c and -117/10?
20
Let m = -2 + 18. Let g = -7876 - -7884. What is the lowest common multiple of m and g?
16
Suppose -19 = -2*q - 15. Suppose 0*i = q*i. Suppose -3*w - 3*h + 6 = 12, -w + 4*h + 18 = i. Calculate the lowest common multiple of 51 and w.
102
Let z = 65039/18256 + -1/9128. Let d = 22105 - 1105343/50. Find the common denominator of d and z.
400
Let m = -95 - -161. Find the common denominator of 12/m*1 - 778/44 and 195/100 + 4/2.
20
Let q = 216 + -132. Calculate the common denominator of -13/27 and (7/q)/((-27)/(-840)).
27
Let u = -7811/42210 + 7/670. Let s = -2463289/63 - -39101. Find the common denominator of u and s.
63
Find the common denominator of (-3)/((-29352)/(-97642)) + (-16 - -26) and 17/12.
14676
Let c = -14489 + 318697/22. Let q = 342 - 4847/14. What is the common denominator of c and q?
154
Let k = 1649 + -1217. What is the lowest common multiple of k and 918?
7344
Let z(l) = -144*l - 18. Let f be z(-3). Suppose 0 = 3*j - 5*w - f - 711, 5*j - 3*w - 1891 = 0. What is the common denominator of (j/(-16) + 4)/6 and 38/27?
216
Let k = 4942/9 - 550. Suppose -5*a = 14 - 59. Suppose -3*h - a = -2*h. Calculate the common denominator of h and k.
9
Suppose n - 85 + 91 = 0. Calculate the smallest common multiple of (-31)/n + (-8)/(-288)*-6 and 12/(-42) - 88/(-14).
30
Let z = -1133 - -5627/5. Let y = -43/39 - 81853/78. Let g = y - -1072. Find the common denominator of g and z.
10
Let y be ((-30)/4)/((-1)/(-4)). Find the common denominator of 25/y*4/(-10) and 28/9*486/567.
3
Let o be 0 - (-2)/7 - 2652/119. Let c(f) = f**3 + 23*f**2 + 19*f - 14. Let i be c(o). What is the common denominator of 1/(44/i)*3 and 77/18?
198
Let r = -10 - -43. Suppose -247*c + 253*c - 1278 = 0. Let i = -183 + c. Calculate the smallest common multiple of i and r.
330
Suppose 0 = -60*g + 31*g + 25773 + 2241. What is the smallest common multiple of g and 336?
7728
Let n(z) = -z**3 - 6*z**2 + z - 3. Let m be n(-6). Let p = 21 + m. Let u(f) = -8*f**2 + 149*f - 58. What is the least common multiple of u(18) and p?
96
Suppose 0 = 4454*s - 4478*s + 120. Calculate the smallest common multiple of (-2 - -1)/(4/(-16)) and s.
20
Suppose 42 = h + 9. Let l(r) = -2*r**2 + 1248*r - 42318. What is the least common multiple of l(588) and h?
198
Let t = 156/89 - 12263/9078. Let o = t + 3047/1428. Find the common denominator of -10 and o.
28
Let i = 219 + -219. Suppose 2*c + 0*c - 4*a - 172 = i, 4*c = -5*a + 331. What is the smallest common multiple of 6 and c?
84
Let r = -843 - -783. Let w = r + 92. Calculate the lowest common multiple of w and 28.
224
Let c be -6*(1 + (-9)/(-2)). Let u = c + -11. Let v = -20 - u. Calculate the least common multiple of v and 10.
120
Calculate the common denominator of -43/4 and (-97)/13194*(-396)/264.
8796
Let v = -120916 + 31679895/262. What is the common denominator of v and 61/3406?
3406
Let q = -48662018351/433450640 + 389/774019. Let h = 1119/10 + q. What is the common denominator of h and 139/144?
1008
Let u = -78923659/1176 + 402671/6. What is the common denominator of 59/2940 and u?
5880
Find the common denominator of (-7)/42 + (-5 - 3700/(-792))/(-1) and 85/1188.
1188
Suppose 21 = 2*d + 5*f + 5, -f = -3*d + 24. Let n(r) = 0*r + 8*r + 5*r - 195 - 55. Calculate the smallest common multiple of n(20) and d.
40
Let y = 22 + -2. Let j = -674 + 683. Suppose j*n + 16 = 2*d + 11*n, d - n = 0. Calculate the lowest common multiple of d and y.
20
Let v = 23282676/5 - 3631892311/780. Let m = v + -3548/13. Calculate the common denominator of m and 6/(-8)*(-565)/(-45) + 1.
12
Suppose -2*c = 4*d - 10, 3*d = 2*c - d + 22. Let w(p) = -9*p + 9. Let s be w(c). What is the common denominator of -57/10 and (-3)/9 - (-249)/s?
60
Suppose -2*m - 61 + 21 = -4*r, 58 = -5*m - 4*r. What is the lowest common multiple of (-564)/m - 8/28 and 16?
80
Let j = -479 - -938. Suppose -j = -n + 171. What is the least common multiple of n and 22?
6930
Let d = 8406355/114208 - 6115/83. What is the common denominator of 131/1032 and d?
4128
Let f = 6832 - 6516. What is the smallest common multiple of f and 444?
35076
Suppose -4*i = -9 + 1. Let f(l) be the third derivative of 7*l**5/60 + l**4/24 + 5*l**3/6 + 31*l**2. Calculate the smallest common multiple of f(0) and i.
10
What is the lowest common multiple of 4328 and (-40 - -19)/(-1 + (-4 - 7/(-2)))?
30296
Suppose -x + 4*i = -226 - 110, -2*i = 2*x - 642. Calculate the least common multiple of 162 and x.
324
Suppose 4*r = 3*n + 202867, -5*n = -0*r + 4*r - 202891. Let w = 2383911/47 - r. Let k = w + -5883/752. Calculate the common denominator of k and 51/10.
80
Let i(r) = -132*r - 4. Let j be i(-1). Suppose -28*o = -20*o - j. What is the smallest common multiple of 8 and o?
16
Let p be (-1666)/20 + (-1)/(-2). Let x = p + 3087/40. Let n = -7084229/42 + 168672. Calculate the common denominator of n and x.
168
Suppose -112599 = 2*k - 103*k + 233124. Calculate the least common multiple of k and 3.
3423
Let j = 47 + -47. Suppose -8*f - 64 = -j*f. Calculate the smallest common multiple of (-7)/28 + (438/f)/(-3) and 14.
126
Let w = 12091/772 - -17/193. Let y = 80189/42 - 1909. Let h = 67/7 + y. What is the common denominator of h and w?
12
Let o = 226 - 336. Find the common denominator of 4/(-6)*1334/368 and o/4*2/(-4).
12
Let g = -5871977/460785 - 2/11815. Let o = g - -66/13. Let c = 431189/30 - 14370. Find the common denominator of o and c.
30
Calculate the common denominator of -109/20 and (1314/(-3240))/(((-126)/(-15))/7).
1080
Suppose -4240 = -17*c + c. Let x = c - 258. What is the least common multiple of 9 and x?
63
Let o(x) = -14 - 16 - 5 - 16 - 3*x. Let m be o(10). Let j = 91 + m. What is the lowest common multiple of 10 and j?
10
Suppose 5*c = 18 + 27. Suppose -210 = c*b - 16*b. What is the least common multiple of b and 9?
90
Let l be ((-185)/2)/((-13)/156). Suppose 5*t + 930 = -l. What is the common denominator of 24/(-204) + (-2173)/t and -45?
24
Calculate the common denominator of 3/13 and -4 + 264/64 + (-1758)/(-1872).
78
Let k(t) = -16*t**3 - t**2 - 2*t + 10. Let o be k(2). What is the common denominator of (-6)/105*-10 - 1335/o and 47/84?
84
Let l = 29 - 27. Let k be ((-12)/(-8) - l)/(2/12). What is the common denominator of 93/16 and (952/(-51))/((-11)/k)?
176
Let y = 2572 + -2122. Calculate the smallest common multiple of y and 550.
4950
Calculate the common denominator of 67/44 and (-22844)/(-5680) - ((-7)/1 + 11).
15620
Let k(x) = 10 - 16 - 27 - 4 - 5*x. Let j be k(-8). What is the least common multiple of (-5)/j*69/(-23) and 7?
35
Let s = -473781856/153 + 3096577. Let h = s - -576/17. Find the common denominator of 39/28 and h.
252
Let z = 21587999 - 475075157/22. Let l = z + 6324. Find the common denominator of -1 - 0 - (-151)/18 and l.
198
Let n = 1116865/2121 + -3686/7. Let z = 368/707 + n. Find the common denominator of z and 1/(-3)*1*41.
21
Let j = 173 - 86. Find the common denominator of 0 + 3/(-96)*j and (-1293)/(-1254) - (-21)/((-4389)/(-22)).
352
What is the common denominator of 15/(-12)*(-10395)/(-2625) and 63/418?
4180
Let a(z) = -z**3 - 23*z**2 + 80*z + 58. Let i be a(-26). Find the common denominator of (-1)/(-12)*(i - (-1491)/14) and 89/10.
40
Let a be 12/(-18) - (-15181458)/(-693) - 2. Let w = a - -21909. Calculate the common denominator of 16/63 and w.
693
Let o = -28 - -46. Calculate the smallest common multiple of o and 0 + (-3)/36 + 10806/72.
450
Let c(o) = o**3 - 18*o**2 - 23*o + 122. Calculate the least common multiple of 989 and c(19).
1978
Calculate the lowest common multiple of ((-116)/(-8) + -16)/(6/(-80)) and 4352.
21760
Let k = -1600 + 1603. What is the lowest common multiple of k and 7597?
22791
Let p = 1820 - 45541/25. Find the common denominator of 55/243 and p.
6075
Let k be 22*((-7)/2 + 2). Let o = k + 329/10. Let u = 3/443242 + -22827071/15956712. Find the common denominator of o and u.
360
Let z be (-28)/24*-76*36/(-14). Calculate the common denominator of 74/57 and 2237/z - (-4)/(-38).
228
Let f(o) be the first derivative of o**3/3 + 15*o**2/2 + 29*o - 21. Let l be f(-14). Suppose -y = -l - 3. What is the smallest common multiple of 10 and y?
90
Let b = 490 + -945. Let n = -422 - b. Cal