 s + 1, 3*s = h*g + 109. Calculate the common denominator of 91/18 and 237/g*2/3.
126
Suppose -6*r - 269 = -9341. Suppose r = -v + 28*v. Calculate the smallest common multiple of v and 64.
448
Let h = -3116 - -3125. Let v = -292 - -424. Suppose h*k + 2*k = v. Calculate the least common multiple of 15 and k.
60
Let b(k) = -113*k - 30. Let z be b(10). Let s = 1768 - z. Let v = s - 41019/14. What is the common denominator of v and -35/2?
14
Suppose -11*k + 17*k - 30 = 0. Suppose 0 = -k*x + 4*x - r + 35, -140 = -4*x - 2*r. Calculate the least common multiple of x and 42.
210
Let h = -8033815/292 - -27513. What is the common denominator of 2/(-5) + 2802/(-120) and h?
292
Calculate the common denominator of 13/16 and (-5 + 663/26)*12/(-40).
80
Let c be 4 + 14/35 + (-12)/5. Suppose -34*g = -c*g - 288. Suppose 1 = -4*j - h + 43, 4*j = 2*h + 36. What is the least common multiple of j and g?
90
Find the common denominator of 11 - 1 - 11/(1254/1615) and 1 + 113/(-6) + 0.
6
Let r(z) = 72*z - 1339. Calculate the least common multiple of 246 and r(26).
3198
Let n = -103570 - -14914159/144. Calculate the common denominator of n and 43/132.
1584
Calculate the common denominator of -73/1275 and 110/100*((-16)/(-120) + (-157)/765).
7650
Let q = -16049/1152 - -517/36. Let r = -986401/690528 - -10/7193. Find the common denominator of q and r.
384
Calculate the common denominator of -1/756 and ((-6)/(-15))/(((-56)/(-127))/1).
3780
Let u = 189/11 + -5837/341. Let y = 1125/341 + u. Find the common denominator of 46/711 and y.
7821
Let l(v) be the second derivative of -v**4/2 + 13*v**3/2 + 9*v**2/2 - 43*v + 1. Let s(q) = 9*q - 9. What is the smallest common multiple of s(6) and l(6)?
135
Suppose -5*p = -h + 570, -3*p = -h + 441 - 97. Let f = -92 - p. Let g(s) = -s**3 - 3*s**2 - 3*s + 2. What is the least common multiple of f and g(-3)?
231
Suppose 3*k + 37*k = 3640. Calculate the smallest common multiple of 203 and k.
2639
Suppose -5*d = -42 - 18. Calculate the smallest common multiple of d/(-10)*2*(-30)/8 and 9.
9
Let g(n) = -3*n + 30. Let k be g(7). Suppose -k*o + 2*o = 5313. Calculate the common denominator of (-90 - 0)/(-2)*(-46)/o and -37/6.
66
Let g(l) = -113*l**3 + 16*l**2 + l + 26. Let v be g(-13). Let n be v/(-40) - (6 + -5). Let p = -6273 - n. Find the common denominator of -57/16 and p.
80
Let s(f) = 2*f**2 + 2*f + 9. Let h be (-8 - -14)/(9/(-6)). Let v be s(h). Let w = 34 - v. Calculate the smallest common multiple of 11 and w.
11
Suppose 0 = 7*z + 8*z + 90. Find the common denominator of -121/18 and (1/z)/(9/77).
54
Let n = -10542/5 - -3826726/1815. What is the common denominator of 17/24 and n?
2904
Suppose -y + 46 = 5*x, 15*y - 29 = -3*x + 13*y. Calculate the lowest common multiple of x and 24.
72
What is the least common multiple of 20 and 16/((18/(-54))/((-2)/12))?
40
Let z = -214 - -140. Let t = -78 - z. Find the common denominator of t + (-1654)/(-56) + (-4)/14 and 89/24.
24
Let n(x) = 6*x**2 + 28*x - 72. Let r = -2 - -7. Suppose r*s + 24 = 2*c, -7*s + 2*s = 10. What is the lowest common multiple of c and n(2)?
56
Let s = -3262/240380541 + -9630192504911/7508045817594. Let k = s - -1/18333. What is the common denominator of -43/22 and k?
506
Suppose -31031 = -167*s + 89209. Calculate the least common multiple of s and 160.
1440
Let k = 4054 + 10438. Let a = k + -405689/28. What is the common denominator of 53/70 and a?
140
Suppose 5*s + 4 = 29. Let p(u) be the first derivative of -u**4/4 + 8*u**3/3 - 11*u**2/2 + u - 93. What is the lowest common multiple of 27 and p(s)?
189
Let m = -31/1272 + -27317/1272. Calculate the common denominator of m and (-4)/(-48)*302/8.
48
Let b = 512/101 + -17029/5252. Find the common denominator of 11/1 - (-111741)/4382 and b.
52
Let c = 930924/493 - 17949/29. Let f = c + -1084085819/854046. Let o = f - 1163843/200952. What is the common denominator of o and 103/42?
168
Suppose 0 = 10*q - 38*q - 28. Find the common denominator of 10/4 - (-2)/(-6) and q/1*1*(-32 + 6).
6
Let t(d) = -7*d**2 + d + 13. Let f be t(4). Let j = f + 92. What is the least common multiple of 26 and (-6 - j)/((-1)/3)?
234
Suppose 19 - 33 = 7*q. What is the smallest common multiple of (-9*(q + 3))/(54/(-144)) and (2 - 1) + 0 - -29?
120
Let f be (-8529)/90 + 0 - -5. Let m = f - -189/2. Calculate the common denominator of -64/135 and m.
135
Let u = 1395/4 - 733/2. What is the common denominator of u and 65/768?
768
Suppose 0*z + 24 = 2*z. Suppose z*k = k + 143. Calculate the lowest common multiple of 7 and k.
91
Suppose -5*x + 3*r = -54, -43*r + 44*r + 3 = 0. What is the smallest common multiple of x and 228?
684
Let h = 364 - 829. Let a = h + 507. What is the lowest common multiple of a and 28?
84
Let t = 443539/136 + -33030/17. Let r = t - 1316. Find the common denominator of (9/20)/(((-390)/(-460))/(-13)) and r.
40
Suppose -2*y = 2*c - 58, 3*c + c = -2*y + 56. Suppose 0*z - 4*u = -z + y, -3*z = -4*u - 74. What is the smallest common multiple of z and 6?
66
Let h = -777/40 - -109/8. Let c = 14919/28 + -3567/7. Calculate the common denominator of c and h.
20
Suppose i - 23 = -6. Suppose -k + i - 49 = -j, 5*k - 3*j + 156 = 0. What is the common denominator of ((-19)/(-15))/((-20)/k) + -3 and 85/12?
60
Let i = 8275 - 8151. What is the smallest common multiple of 118 and i?
7316
Suppose -5*i = 5*m - 2175, -4*i = i - m - 2157. Let s = -305/8 + 1217/40. Find the common denominator of s and i/(-69) + (10 - 4).
230
Let i = 5 + -5. Suppose -l + 17 = -i*l. Calculate the least common multiple of (-153)/(-9) - (12 - 2) and l.
119
Let d = 2 + 2. Suppose -24 = 5*w - 64. Calculate the lowest common multiple of d and 4/6*12/w - -19.
20
Suppose 2*z + 4*s - 128 = 0, -7*s + 2*s - 365 = -5*z. Let b = 16873 + -16761. What is the lowest common multiple of z and b?
560
Let m = -737 - -743. Let x be 2*1*3/3. Suppose 5*w - 22 + x = 2*z, -2*w - z - 1 = 0. Calculate the smallest common multiple of m and w.
6
Let f be ((-5)/(-15))/((-2)/(-105)). Let d = 161/4 - f. Calculate the common denominator of d and -31/2.
4
Let t = 9113537 + -1658651065/182. Let j = t - 466/7. What is the common denominator of -101/8 and j?
104
Let y = -224364/473 + 20400/43. Let k = -521 - -2061/4. What is the common denominator of y and k?
1892
Let g(u) = -5*u + 62. What is the smallest common multiple of g(8) and 370?
4070
Let z(n) = n**3 + 5*n**2 - 7*n + 22. Let v be z(-11). Let k = 9263/120 + -637/8. Calculate the common denominator of 16/(-4*1) + v/(-154) and k.
210
Let i = 19603 - 137255/7. Find the common denominator of 21/1636 and i.
11452
Let s(j) = j**3 - 121*j**2 + 18*j - 2144. Let l = -6 + -31. Let n = -23 - l. Calculate the smallest common multiple of n and s(121).
238
Let p = 471/8 - 887/15. What is the common denominator of p and -99/254?
15240
Suppose -4*d + 5*y = 2*y - 14, -3*d + 5*y = -16. Suppose t - d = -t. What is the least common multiple of (-1)/2*-7*(23 + -17) and t?
21
Suppose 24 = -3*a + 33. Suppose -z + 523 = a*g + z, -5*z + 334 = 2*g. Find the common denominator of g/2*12/36 and 131/24.
24
Calculate the lowest common multiple of 1200 and (3/18*-3 - -97) + 30/(-60).
2400
What is the common denominator of -37/1888 and (-2434)/312 + 200/3900?
1888
Let a(i) = -i**2 + 3*i - 16. Let m be a(0). Let s = m + 200. What is the lowest common multiple of s and 11?
2024
Suppose 0 = -4*m + 4*k + 80, 4*k - 84 - 12 = -4*m. Let j(w) = -w**2 - 23*w + 164. Calculate the least common multiple of 100/25 - (-1 - m) and j(-28).
216
Find the common denominator of -77/128 and (2/(-8)*219)/(4*(-594)/(-44)).
1152
Let d = 8459/3 + -2795. Let x be (-5718)/(-3)*(-140)/(-576). Let a = x - 3639/8. Find the common denominator of d and a.
18
Let p = -2196 + 215223/98. Let x = -1956627/98 + 19965. What is the common denominator of p and x?
98
What is the least common multiple of 3 + 4684/10 - (-2)/(-5) and 54?
8478
Suppose r + 3*w + 39 = -39, 5*w - 290 = 5*r. Suppose 3*z - 411 = 4*c, -94 = 3*c - 3*z + 212. Let o = r - c. What is the common denominator of o and 113/10?
10
Suppose -4*x + 3*l + 280 = 0, 198*l = 2*x + 196*l - 140. What is the least common multiple of 380 and x?
2660
Let l(w) = 12*w + 198. Let p be l(-22). Calculate the lowest common multiple of 18 and ((-205)/(-15))/((-11)/p).
738
Suppose 2*