j = x - f. Find the common denominator of j and 87/8.
120
Suppose -27*p - 64 + 149 - 31 = 0. What is the smallest common multiple of 31 and p?
62
Let v = 383/14 + -326/21. Calculate the common denominator of -13/2 and v.
6
Suppose -s + 107 = -4*f, 9*s - 5*s - 484 = 2*f. Let b = 157 - s. What is the least common multiple of 22 and b?
374
Suppose -16*z - 38 = -125 - 41. What is the smallest common multiple of 1176 and z?
1176
Suppose 0 = -4*d - 8*s + 72, -5*d = -10*d + 5*s + 120. What is the lowest common multiple of d and 592?
6512
Let c = 46993 + -2114774/45. Find the common denominator of c and -51/161.
7245
Suppose 0 = 9*h - 178 - 11. Let o(s) = -s**2 + 20*s - 15. Let m be o(h). What is the common denominator of -97/14 and (m/54)/(8/(-42))?
14
What is the common denominator of 41/((-466826)/91131) + (-5)/(15/(-24)) and 145/12?
68316
Let b be 4 - (2 - (-362)/4*-92). Let x = -349711/42 + b. What is the common denominator of x and 77/8?
168
Let i = 47517 - 39881. Calculate the least common multiple of i and 22.
83996
Calculate the common denominator of -53/48 and (1605632/4170)/32 - 12.
33360
Let m(a) be the second derivative of -a**5/20 - a**4/6 + 5*a**3/2 + 8*a**2 + 2*a - 28. Calculate the lowest common multiple of 14/28 - 70/(-4) and m(-5).
144
Let b = 77 + -47. Let g = -61 - -129. Suppose -t = -g + 48. What is the least common multiple of t and b?
60
Calculate the common denominator of -117/20 and ((-20)/((-3000)/(-315)))/((-2809)/19 - -1).
9300
Let c be 46 - (1 - ((-4 - -1) + 2)). Suppose -10*b + 176 = -c. What is the lowest common multiple of 4 and b?
44
Let o = 6183 + -5766. Calculate the lowest common multiple of 417 and o.
417
Calculate the common denominator of (-7 - -1) + (-1485)/(-450) and 111/836.
4180
Let w = 255 - 200. Let b(r) = 2*r**2 + r. Calculate the smallest common multiple of w and b(5).
55
Suppose -d + 5*m + 6 = 3, 4*d + 12 = -4*m. Calculate the common denominator of d/6 + (-2512)/960 and 10 + -16 + (-69)/2.
20
Find the common denominator of (-2)/4 - 5627/(-4692) - (-15)/(-12) and 29/27.
621
What is the least common multiple of 20 and 943 + 3 - 14/21*15?
4680
Suppose 0 = -22*r - r - 322. What is the smallest common multiple of 32 and (-2292)/r + 102/357?
1312
Suppose -o + 28 = o. Suppose 0 = -12*j + 390 + 30. Calculate the smallest common multiple of o and (-15)/j - -10*18/28.
42
Suppose -44*b + 38*b + 3240 = 0. Find the common denominator of (-4168)/b + 6 + 1/5 and (-2)/(-7) + (-2375)/840.
216
Let m = -10668 - -106773/10. Calculate the common denominator of 89/212 and m.
1060
Let b be 4/2*238/28. Suppose 3*n = -b + 59. Suppose -2*g = 2*j - 24, -3*g + 0*j + 3*j = -12. What is the least common multiple of g and n?
56
Let m = -10701 + 107119/10. Calculate the common denominator of 55/6326 and m.
31630
Suppose -62 - 1573 = -48*g + 525. What is the least common multiple of g and 72?
360
Let h = 448/41 - 681247/62320. What is the common denominator of h and 27/1520?
1520
Let w = 9 + 4. Suppose t + 3*y = -w, -y - 24 = -2*t + 3*y. Suppose 38 = 2*i + 3*o, -2*i = 5*o - 9 - 33. Calculate the smallest common multiple of t and i.
16
Suppose 2*y = -10*q + 7*q - 4, -2*y - 4*q - 4 = 0. What is the common denominator of 101/10 and (-4)/45*24/y + 0?
30
Let y = 327403945/1272 - 257393. What is the common denominator of -5/12 and y?
1272
Let d be (-12)/24*(-172)/2098. Let h = d - -56009/92312. Calculate the common denominator of -49/40 and h.
440
Let u = -7276 + 7279. Let c(x) = 5*x - 2. What is the least common multiple of c(2) and u?
24
Suppose 0 = -1082*j + 1099*j - 1904. Calculate the smallest common multiple of 1248 and j.
8736
Let p = -40385/6 - -6709. Calculate the common denominator of p and (-1)/(21/(-102)) - 2.
42
Let r be (-477)/(-12) + 3/(-4) - 1. Let w(n) = n**3 - 39*n**2 + 36*n + 86. Calculate the smallest common multiple of 105 and w(r).
210
Calculate the common denominator of 312/(-2496) - 206/48 and 7/144.
144
Let t(g) = g**2 + 21*g - 131. Let p be t(-27). Suppose -p*h + 37*h - 216 = 0. What is the lowest common multiple of 10 and h?
180
What is the common denominator of 996/156 + -13 + 8 and -36/247?
247
Let k = 749/2 + -366. Let o(t) = 7*t - 74. Let c be o(14). Find the common denominator of (c/9)/(222/(-54)) and k.
74
What is the common denominator of 2 - 1 - ((-4738)/(-347728))/(6/472) and 24/1055?
6330
Let y = 12137 + -145753/12. Calculate the common denominator of y and 7/753.
3012
Suppose 3*o + 222 + 360 = 5*u, o = u - 118. What is the lowest common multiple of u and 66?
1254
Suppose 0 = 13*g - 8*g - 235. Let f = -51 + g. What is the common denominator of (f/10)/(336/(-920)) and -41/24?
168
Let j = 977 - 7833/8. Let h = -68/123 + -1717/8241. Let q = h + 6333/134. What is the common denominator of j and q?
8
Let c(g) = 82*g + 12. Let p be c(-1). Calculate the lowest common multiple of 22 and (208 + p)*(-1 + 4/3).
506
Let w = 15 + -6. Suppose 0 = 3*o - 11 - 73. Suppose 0 = 5*p - 137 - o. What is the smallest common multiple of p and w?
99
Let p = -76007/24940 - 3/1247. Let m = 1889/282 + 104/423. What is the common denominator of p and m?
180
Suppose -148*c + 145*c - 375 = -5*o, 5*o - 385 = 5*c. Calculate the smallest common multiple of o and 48.
144
Let h(j) = -6*j + 3*j + 25 + j. Let f be h(8). Calculate the lowest common multiple of (-4)/((-48)/44) + (-6)/f and 10.
30
Suppose a = -2*d - 1, -4*d = -a - 139 + 132. Let i = 12 + -4. What is the smallest common multiple of i and d?
8
Let j(i) = i**2 - 49*i - 1317. Calculate the smallest common multiple of j(-30) and 24.
8424
Let t = 8591/5 + -799178/465. Let p = -13429/42 - -637/2. What is the common denominator of t and p?
651
Let h = 5871253107/4580 - 1281933. Find the common denominator of -77/45 and h.
41220
Find the common denominator of -1 + 1 + (-58)/140 and 85/357*(-1212)/(-80).
140
Let q(v) = v**3 + 16*v**2 - 19*v + 20. What is the smallest common multiple of q(-17) and 1034/55 - 12/15?
54
Let w = -5058/7 + 2255931/3122. Let h = 14977/1784 - w. Calculate the common denominator of h and 18/23 - (24/(-6))/(-8).
184
Suppose 15093 = 194*o - 167*o. What is the smallest common multiple of 11 and o?
6149
Calculate the least common multiple of (5 + 29)/(5 - (-222)/(-45)) - -4 and 7.
3598
Let g = -35290 + 3811225/108. Let m = 125/23 + -5057/1104. Calculate the common denominator of g and m.
432
Let u(j) = -j**3 + 15*j**2 + 10*j + 80. What is the lowest common multiple of u(11) and 18?
6066
Let o(u) be the first derivative of u**3/3 - 5*u**2/2 - 6*u - 117. What is the lowest common multiple of o(-2) and 44?
88
Let y = 609 + -404. Let m = 807/4 - y. What is the common denominator of -11/4 and m?
4
Let h be 34 + -28 - (-28 + -2). What is the smallest common multiple of 76 and -10*(-6)/270*h?
152
What is the common denominator of 65/16 and (-85822)/(-8492)*(-1)/2 + 5?
3088
Suppose 4*o = -o + 170. Suppose -3*c = -w + 9, 3*w = 4*c - 2*w + 1. Let b = 18 + c. Calculate the least common multiple of b and o.
238
Suppose -2*u + 0*l = 5*l - 39143, -3*u - l + 58734 = 0. Let v = 704911/36 - u. What is the common denominator of 33/20 and v?
180
Suppose -j = -3*z - 6*j + 7, -3*z = -2*j - 14. Suppose 242 = -15*k - 5*w + 982, -5*k - 5*w + 280 = 0. What is the smallest common multiple of k and z?
92
Suppose -5*c + 337 = 47. Suppose 47*o - c - 130 = 0. Calculate the least common multiple of o and 2.
4
Let h = 1699 - -297. Let a = -4087/2 + h. Calculate the common denominator of -89/110 and a.
110
Find the common denominator of 322/21*25/20 + -5 and 23/18426.
18426
Find the common denominator of ((-1)/(-6))/(12/1566) and 652/(-30) - 6*(-1)/(-10).
12
Let w = 7829/1878 + -2/939. What is the common denominator of w and -133/6?
6
Let r(x) = -x**2 + 4*x + 5. Let t be (36/(-24) + (-10442626)/28)/90543. Let p = -1/60362 - t. Calculate the common denominator of r(8) and p.
42
Suppose 4900 = 25*k - 11*k. Let z = k + -330. Calculate the lowest common multiple of 30 and z.
60
Let q(i) be the third derivative of i**6/120 - i**5/20 - i**4/24 + 2*i**3 + 36*i**2. Calculate the least common multiple of 66 and q(4).
264
Let f(r) = -23*r**2 - 2*r + 2. Let y be f(1). Find the common denominator of y*3/198 - (1 - 2) and -21/16.
528
Calculate the least common multiple of (-56)/(-2) - ((-56)/(-42))/(12/(-27)