-41/99.
990
Let y = 1471 + -1451. Suppose 0 = 26*f - 25*f - 26. Calculate the smallest common multiple of y and f.
260
Let k(n) = n - 4450. Let j be k(0). Let u = 269635079/60528 - 5028/1261. Let q = j + u. Find the common denominator of 107/12 and q.
48
Let h(r) = r**3 - 3*r**2 + 5*r - 3. Let q be h(2). Let c(a) = 6*a - 25. Let l be c(10). Suppose -4*d - q = -l. Calculate the least common multiple of d and 22.
88
Let q(r) = -3*r - 60. Calculate the least common multiple of 945 and q(-25).
945
Suppose -548*t + 154 = -530*t - 62. Calculate the least common multiple of 228 and t.
228
Let d be 1221*939/45864 - 4. Let z = d - 1052/49. Calculate the common denominator of z and 103/130.
520
Let s be 45*(0 - (1/(-5) + -3)). Let g = s + -142. What is the common denominator of -28/3 and 1/g + 249*8/(-360)?
30
Suppose 3*s + 1 = 157. Let b(i) = i**2 - 2*i - 141. Calculate the lowest common multiple of s and b(13).
52
Suppose 4*y - 20 = -g, 28 = 29*g - 27*g + 2*y. Let j(w) = -w**3 - 2*w**2. What is the lowest common multiple of g and j(-3)?
36
Let g = -156811/79596 + -13/1809. Calculate the common denominator of 2151/648*3 - (-112)/(-16) and g.
264
Let i(c) = -12*c**2 - 272*c - 32. Calculate the least common multiple of i(-22) and 454.
32688
Let u(i) = -21*i - 17. Let f be u(-4). Let m = 305 - f. Calculate the smallest common multiple of m and 20.
2380
Let p = 4628 + -4607. What is the least common multiple of 711 and p?
4977
Suppose 58*d + 7560 = 118*d. What is the lowest common multiple of d and 78?
1638
Suppose -5*b + 80889 = -2*c - 19570, -60282 = -3*b - c. Let m = 1265818/63 - b. Calculate the common denominator of m and -44/63.
63
Let v be (-18573)/54 + (-56)/(-126). Let b = -3531/10 - v. Find the common denominator of b and 105/136.
680
Let r = 659190461371/126 + -36675186556/7. Let a = r + 7641819. Let w = a - -1546/7. Find the common denominator of w and 1/2.
18
Let h = -432781/24 + 18028. Find the common denominator of h and 29/180.
360
Let f = -31683 + 31695. Suppose 0 = -3*n - 6, -5*z + 0*n = 5*n - 355. Let d = -40 + z. Calculate the smallest common multiple of d and f.
132
Let x = -269 - -248. Find the common denominator of 6513/182 + (18/x)/3 and 20/(-8)*(-68)/55.
22
Suppose 0 = 3*a + 2*v - 7*v - 1620, -v - 1087 = -2*a. Let r = a + -307. Suppose r = 2*s + 210. Calculate the smallest common multiple of s and 220.
1540
Let a = 1/747 - 60523/11952. Let p be -1848*4*(-6)/3232. Let w = p + -65641/4040. What is the common denominator of a and w?
80
Let y = 521 - 1023. Let o = 517 + y. Calculate the least common multiple of 3 and o.
15
Let h(k) = k**2 + 2*k + 8. Let n(u) = -u**3 + u + 11*u**2 + 7 + u**2 - 3*u**2. What is the lowest common multiple of h(-2) and n(9)?
16
Let b be (-1)/(-1)*(-7)/(-1). Suppose -9*r + b*r = 48. Find the common denominator of 37/18 and 2 + -1 - 63/r.
72
Let i(u) = u**3 + 11*u**2 - 3*u + 7. Let k be i(-4). Let q = k + -115. Find the common denominator of 6/q - 146/96 and 63/8.
48
Let v be 33/44 - (-88081)/16. Let f = -5510 + v. What is the common denominator of f and ((-2)/16)/(6/219)?
16
Let w be 83484/(-31584)*(-8)/6. Let l = 28/47 - w. Calculate the common denominator of l and -21/26.
182
Let w be (-40515)/11 - (-184)/1012. Let g = -103219/28 - w. Calculate the common denominator of g and 103/22.
308
Let z(y) = 6017*y**2 + 1. Let s be z(1). Let w = -911 + s. Let g = w + -30731/6. Calculate the common denominator of -41/38 and g.
114
Let k be (-91)/77 + 1 - 130/11. Let w be 21/4 - (9/(-3))/k. Calculate the lowest common multiple of 27 and (-1 - 5)*w/(2 + -7).
54
Calculate the common denominator of 9/385 and ((-852)/(-990))/(6/(-18) - (-57)/(-9)).
3850
Let o(d) = d**2 + 8*d + 17. Let h be o(-4). Let f be (-26)/22 + h + 1250/7117. Let l = f + -18735/4529. What is the common denominator of 46 and l?
7
Suppose -3*d + 4*y = -117, 342*d - 346*d = 5*y - 125. Calculate the smallest common multiple of d and 1841.
9205
Let v = 379 - 351. Let j = 68 + -64. Calculate the smallest common multiple of v and j.
28
Let k(s) = s**2 + 2*s - 30. Let c be k(0). What is the common denominator of (-152)/c*((-6)/12 + -2) and 2/9?
9
Let g = 7141/22 + -29369789/90486. Calculate the common denominator of -77/10 and g.
41130
Let z = -716 + 722. Suppose 0 = 8*b - z*b - 96. What is the smallest common multiple of b and 24?
48
Suppose -2*d + 2 = -0. Suppose -3*n - 446 = 2*n - 4*i, 3*n = i - 269. Let s = n + 101. What is the lowest common multiple of s and d?
11
What is the smallest common multiple of (-3)/51 - 319455/(-1581) and 404?
404
Suppose 3*a - 203 = -3*y + 901, -3*a - 1465 = -4*y. Let w be (3*(-4 - 1))/(-1). Suppose -w + y = 11*b. Calculate the least common multiple of 18 and b.
288
Calculate the common denominator of (1/2)/(6/(-117)) and (-1*(-2121)/21)/(-2).
4
Let u(l) = 14*l**2 - 55*l + 44. Let v be u(-7). Let m = v + -1110. Let f = 2 + -1. What is the smallest common multiple of m and f?
5
Let g = -34579/3 - -2144681/186. Let l = g - 4/93. Find the common denominator of l and -61/6.
6
Let s = 603 - 1303/2. Let w = -3941/88 - -428/11. Calculate the common denominator of w and s.
8
Let j be (1 - -3)*(-64)/256. Find the common denominator of -63/76 and 9/5 + j/(-4) + -1.
380
Suppose 0 = -0*y + 13*y - 7*y - 48. Suppose 0 = 5*j - 25, -3*m - 5*j = -3*j - 166. What is the smallest common multiple of m and y?
104
Let s(x) = 567*x + 5. Let p be s(4). Let u = p - 136367/60. Calculate the common denominator of 35/(-27) + -1 - -5 and u.
540
Suppose -2*h + 158 = 3*o + 2*o, 3*o - h - 86 = 0. Suppose -13445*b + 13452*b - 245 = 0. What is the smallest common multiple of b and o?
210
Suppose 0*b + 5*b + 5*m - 30 = 0, -5*b = 4*m - 27. Suppose -b*u = -0*u - 330. What is the smallest common multiple of 100 and u?
1100
Let b = -2423/26 + 1764/13. Suppose 0 = -2*c + 5*l - 88 - 35, 255 = -4*c + l. Calculate the common denominator of b and (171/(-8))/(-4*(-60)/c).
10
Find the common denominator of ((63/385)/3)/((-4)/48) and -71/400.
4400
What is the lowest common multiple of (-662)/(-8) - (-2 + (-36)/(-48)) and 294?
588
Let n = -5650/9 - -994175/1584. Find the common denominator of 39/112 and n.
1232
Let j = 4942 + -4489. What is the least common multiple of j and 75?
11325
Let z = 528 - 2055/4. Find the common denominator of (-98)/(-84)*(-3)/11 and z.
44
Suppose 2*m = -5*o - 142, 0 = 3*m - 8*m - 5*o - 340. Let r = 3797/3 + -1289. Find the common denominator of (-90)/m*-14*(-4)/(-20) and r.
33
Suppose 18*n = 5*n + 585. Suppose 0 = 3*k + 15 - 63. Let w = n - k. What is the common denominator of w and -37/32?
32
Calculate the common denominator of -45/7 and (-16)/(-1) - 228670/14196.
546
Suppose k - 9*k = 0. Let a(z) = -z**2 - 4*z + 231. Let f be a(k). What is the common denominator of ((-3)/15)/((-7)/f) and -34/11?
55
Let t(r) = r - 1. Let x be t(-2). Calculate the common denominator of (75/10 - 6) + (-44)/(-30) and ((-276)/15)/(2*x).
30
Suppose p - 127 = 3*y, -y = 4*y + 10. Let v = -120 + p. Calculate the least common multiple of 3 and v.
3
Let j(r) = 40*r - 85. Let a be 3 - -4 - ((-3)/3 + 4). Calculate the least common multiple of j(a) and 5.
75
Let k = -166 - -159. Let l(y) = 7*y + 71. Calculate the lowest common multiple of l(k) and 248.
2728
Let x = 10 + 3. Let d(s) be the first derivative of s**4/4 + 35*s**3/3 + 175*s**2/2 + 36*s + 8. Calculate the least common multiple of d(-29) and x.
91
Let l(r) = -r + 11. Let k be l(16). Let s(u) = u**3 + 9*u**2 + 19*u + 19. What is the lowest common multiple of s(k) and ((-8)/3)/(1/(-6))?
48
Suppose -5*i + 497*w - 502*w + 400 = 0, -2*i + 142 = -4*w. Suppose -4*v + 4*q + 12 = -4, -2*q = -v. What is the lowest common multiple of v and i?
616
Let d(b) = -b**2 + 16*b - 22. Let a be d(14). Suppose 2*o = 4*w + 172, -4*w = -7*w + a. Calculate the lowest common multiple of 40 and o.
360
Suppose -6*u + 18 = -0*u. Let x be ((-20)/8*2)/((-3)/u). Suppose 4*w = -v - 8, -w = -x*w - 16. What is the smallest common multiple of 8 and v?
8
Let b = -73 + 82. Let c be (-2 - (-21)/b)/(-3 - 612). Let t = c + -83003/40590. Find the common denominator of -63/16 and t.
176
Suppose 22 = 4*m + 5*a, 5*a - 10 = -2*m + 2*a. Let u = -622 - -658. Suppose 0 = u*o - 8*o - 3668. What is the smallest common multiple of o and m?
1048
Suppose 3*w + 5*