 m = -1/22803 - 265889/3329238. Calculate the common denominator of m and -2/9.
1314
Suppose -10944 = -69*c + 31*c. Calculate the smallest common multiple of c and 72.
288
Suppose -7*r = -11 - 17. What is the smallest common multiple of (-144)/60*1/(r/(-110)) and 30?
330
Suppose s + 3 = 13. Suppose -4*j + 632 = -124*h + 129*h, -2*h = -2*j + 334. What is the lowest common multiple of j and s?
1630
Let l = -1666 - -1633. Let z be (-254)/5 - 2/10. Let h = l - z. Calculate the lowest common multiple of h and 26.
234
Let z = 448 - 529. What is the smallest common multiple of 127 and (4/(-9))/(18/z)?
254
Let p = 449/5 + -89. Let i be ((-22821)/(-1695))/(44/(-2508)). Let b = -3838/5 - i. What is the common denominator of p and b?
565
Let o = 74348/1162545 - 50/799. Let r = -53767/49470 - o. Find the common denominator of (-25)/(-80)*91/5 and r.
272
Suppose -794*g + 12 = -790*g, 0 = -2*j - 5*g + 375. What is the smallest common multiple of 6 and j?
180
Let h = -54 - -103. Let f(i) = -6 + 112*i - h*i - 58*i. Calculate the lowest common multiple of f(4) and 11.
154
Let r = 306 + -308. Find the common denominator of 154*(-2 + (-146)/(-72)) and 3 + r - 16/(-64).
36
Let i = -20 - -20. Let m be ((-18)/(-9))/((-1)/(-9)). Suppose 2*j + j - 15 = i, 0 = 4*c + 2*j - m. What is the lowest common multiple of c and 11?
22
Let b be 3/(-42)*-6 - (-8475)/21. Let u = b - 258. Suppose 11*p - 30 - u = 0. What is the smallest common multiple of p and 22?
176
Let s(y) be the first derivative of -5*y**2/2 - y + 22. Let q be s(2). Find the common denominator of 125/54 and ((2409/4)/q)/18.
216
Let v = 1987 + -1957. What is the lowest common multiple of v and 1830?
1830
Suppose l = 199 + 61. What is the common denominator of -53/16 and 264/40*(-75)/l?
208
Let a(c) = -6*c**3 + 5*c**2 + 57*c + 174. What is the least common multiple of 420 and a(-3)?
420
Suppose -13*o + 3*o = o - 2200. Calculate the least common multiple of 650 and o.
2600
Suppose -g - 293 = -5*s, s - 4*g - 169 = -2*s. Let n = s - 63. What is the common denominator of 54/(-2)*2/n and -47/16?
16
What is the common denominator of -11/700 and 6/(3 + -1) + 6307/(-1700)?
700
Suppose -5*b - 8*b + 260 = 0. Let h = 278 + -80. Calculate the least common multiple of b and h.
1980
Find the common denominator of 5/196 and ((-4)/(-686))/((-90)/(-2760)*-8).
4116
Let v(y) = 4*y**2 - 29*y + 5. Let n be v(9). Suppose n - 72 = -4*f. What is the least common multiple of 43 and f?
43
Let b(s) = -181*s - 11220. Suppose 4*m + 45 = 3*n - 0*m, m - 3 = 0. Calculate the smallest common multiple of n and b(-62).
38
Let m = 467/6 + -79. Suppose 0 = 3*i - 6*i + 630. Calculate the common denominator of (-4*(-5)/i)/((-12)/15) and m.
42
Suppose 2*p = 2*d - 6, 0 = -4*p + p - 3*d - 3. Let s(r) = 2*r**2 - 11*r - 18. What is the least common multiple of 6 and s(p)?
12
What is the common denominator of ((-8514)/270)/11*5/(-42) and 37/48?
1008
What is the smallest common multiple of (-14384)/(-14) + 20/(-28)*8/(-10) and 1028?
1028
Let o(p) = p**3 + 22*p**2 + 21*p + 25. Suppose q + 3*q = 160. What is the smallest common multiple of o(-21) and q?
200
Let h = -18144 + 30254. Let q be ((-4)/(-7))/(375/h). Let f = -558/25 + q. What is the common denominator of f and 41/21?
105
Let x = -9916 - -10811. Calculate the smallest common multiple of x and 15.
2685
Let d = -151296086624/87278567415 + -1363/10785118. Let b = d + 13/830. What is the common denominator of -14/33 and b?
429
Let i be (-24)/(-20)*5*16/(-3). What is the common denominator of i/(-48) - 112/18 and -32/27?
27
Let r = -393 - -390. What is the smallest common multiple of (-18)/(-9) - 138/r and 48?
48
Suppose 3*z + q - 329 = 8*z, -3*z - q = 199. Find the common denominator of ((-36)/126)/(z/(-28)) and (-50)/33 + 36/(-108).
33
Let f = 15385/12 - 1291. Find the common denominator of f and -89/46.
276
Let n = 5 - -8. Let q(s) = 10*s + 16 - 27 + 22 + 11. Calculate the least common multiple of q(-2) and n.
26
Let l be -4 - (-740)/75 - (-4)/30. What is the common denominator of 10/(-20)*(-22)/21*l and -43*((-6)/4)/3?
14
Suppose 0 = -16*n + 11 + 69. Find the common denominator of n/240*-394 + 0 + 5 and (6/4)/((-36)/(-133)).
24
Let m = 80677/5724 - 774/53. Find the common denominator of m and (5047/1470 - -8) + (6 + -2)*(-2)/1.
540
Suppose -4*x = -8, x + 15 = -4*i + 41. Let y = 85 + 2. Calculate the smallest common multiple of i and y.
174
Suppose 2*m - 3*g = 4*m - 213, -2*g = -6. Suppose 12*n - 102 = 90. What is the least common multiple of m and n?
816
Let s be 0 + (-1953738)/(-64) + (-4)/2. Let r = -30528 + s. Find the common denominator of r and 29/4.
32
Suppose -j = 5 - 3. Let s(z) = -2*z - 1. Let u be s(j). What is the lowest common multiple of (-5 + (16 - u))*1 and 6?
24
Let w(m) = -14*m**3 - 3*m**2 - 4*m + 5. Let a be w(-5). Let o be 15195/a + (-3)/5 + -1. Let p = -486/17 + o. What is the common denominator of p and -1/10?
20
Let j = -199129/36 - -5531. Calculate the common denominator of j and (1 - 1) + (-3040)/3520.
396
Let x = -3497 - -4004. What is the lowest common multiple of 1690 and x?
5070
Let r be 56434/(-6) - (-5)/(-20)*-1. Let o = 9399 + r. Find the common denominator of -125/66 and o.
132
Calculate the common denominator of -178*(-5)/(-120) + 4/(-2) and 17/(-51)*10/32.
48
Let k = -14 - -10. Let n be k/14 + 752/(-112). What is the common denominator of -6 - -2 - ((-1190)/(-36))/n and -67/2?
18
Suppose 2*d + 5*f - 6 = 0, d + 5*f - 5 = -2. What is the common denominator of 31/11 and 4/502*((-357)/(-14) - d)?
2761
Suppose -o + 13 = 3*u, -3*u - 5*o + 3 + 14 = 0. Suppose -y + 15 = 3*r - 7, -64 = -2*y + u*r. Calculate the least common multiple of y and 32.
224
Let i = 5089 + -61181/12. Let d = 1285843/36 - 35714. Calculate the common denominator of d and i.
36
Let q be ((-619)/2)/(7/(-49)). Let p = q + -2217. Calculate the common denominator of -25/92 and p.
92
Suppose 3*i = -4*y - 157 + 235, -4*y - 10 = -i. What is the smallest common multiple of 137/2 + 1/(-2) and i?
748
Let m = 133 + -115. Let l(p) = p**2 - 7*p - 189. Calculate the smallest common multiple of 42 and l(m).
126
Calculate the common denominator of ((10/138)/(-5))/(216/348) and -26/23.
1242
Let j(p) = p**2 + 7*p + 160. What is the lowest common multiple of 11 and j(22)?
8778
Let l be (10/4 - 1)/(1/(-46)). Let r(f) = 3*f. What is the smallest common multiple of r(3) and (l/(-6))/(7/14)?
207
What is the common denominator of 40/(-2340)*12*22/4 and 38/12 + (1 - 4)?
78
Suppose 1851 = -12*l + 5223. Let k = l + -278. Calculate the smallest common multiple of 177 and k.
177
Suppose u = -4*q + 2*u - 118, 5*q + 3*u + 139 = 0. Let o = -472 - -3735/8. Find the common denominator of (-6)/(-2) - q/(-12) and o.
24
Let a(q) = -398 + 147 + 130 + 9*q. Calculate the least common multiple of a(18) and 3.
123
Let j = 40227850 + -4827378299/120. Let y = 908/3 + j. What is the common denominator of y and 36/11?
440
Let z = 352/9 + -122/3. Find the common denominator of z and -143/714.
2142
Suppose 5*l = -4*i + 14, -i + 5 = -2*l + 4*l. Let z = -448/3 - -159. What is the common denominator of z and 11/(-3) - i - (-22)/(-132)?
6
Calculate the common denominator of (-72)/(-1485)*-326 + 16 and 68/21.
1155
Suppose 0 = q + 6*q - 112. Let a be (-6)/(-8) - 1719/(-12). What is the smallest common multiple of (-4)/(-14) - a/(-84) and q?
16
Let f = -1/187 + 4867/935. Suppose 0 = 3*j + 4*w - 23, -5*j + 9 + 6 = -5*w. Find the common denominator of f and (-477)/(-20) - (-2)/j.
20
Calculate the common denominator of (66/(-29))/((-80)/540*18) and 25/609.
2436
Let r(s) = 2*s**2 - 4*s. Let g be r(-3). Let q = g + 7. Suppose -12 = -z + 4*a - 7*a, -4*z + q = a. Calculate the lowest common multiple of 5 and z.
45
Let t(g) = -g**2 - 23*g - 130. Calculate the smallest common multiple of 5624 and t(-11).
5624
Let p(t) = -t**3 + 24*t**2 + 34*t + 15. Let v be p(25). Let w = 2/1731 - 74441/6924. Find the common denominator of (-4)/(v/246) + 0 + 3 and w.
20
Let w be (-132)/(-3) + (-4)/16*0. Calculate the common denominator of 8/w - 2505/(-924) and 79/63.
252
Let k = 2965577/1650 + -19770/11. Find the common denominator of -89/1100 and k.
3300
Let h(r) = -2*r**3 - 39*r**2 + 16*r + 170. Calculate the lowest common multiple of h(-20) and 75.
750
Suppose -21 = 2*q - 24*a