
2214
Suppose -3*r - z + 1797 = -900, 0 = -2*r + z + 1803. Calculate the smallest common multiple of r and 180.
900
Let r = 48456 + -25681723/530. What is the common denominator of -76/477 and r?
4770
Calculate the least common multiple of 1210 and (2 - 38 - 0)*(-19 - 392/(-21)).
7260
Let w(a) = -10*a + 135. What is the smallest common multiple of 873 and w(13)?
4365
Let w(c) be the third derivative of -13*c**6/60 + c**5/30 - c**4/24 + c**2. What is the common denominator of w(1) and (-17927)/(-4334) + (8/(-22))/(-1)?
2
Let v = 833371 + -231679777/278. Let d = v - 1/139. Calculate the common denominator of d and 51/124.
124
Let q(b) = 7*b + 13 - 5*b - 7. Calculate the lowest common multiple of q(0) and 6.
6
Calculate the lowest common multiple of 1370 and (40/14)/(-30 - 23120/(-770)).
15070
Let l be (-1815)/(-22)*(-6)/(-9)*18. Find the common denominator of 89/110 and 2/12 - (-125)/l.
990
Let c = -3614 + 3622. Suppose -2*r + 11 = -3*h, h = 2*h - 2*r + 5. What is the least common multiple of 2/h + (-40)/(-15) and c?
8
Let d = 299863/991760 - 278/1127. What is the common denominator of d and -89/40?
880
Let f be -1 - (14/6)/((-2)/6). Suppose 0 = 4*k - 78 + f. Suppose 11 = 3*v - t, -3*v - 3*t + 8*t + 31 = 0. Calculate the lowest common multiple of k and v.
18
Suppose -3*x - 19 = -4*b, -8*x + 16 = 5*b - 4*x. Suppose 0 = 5*f - i - 91, 4*f - 66 = b*i + 10. What is the least common multiple of f and 33?
198
Suppose 24*w - p + 4416 = 29*w, 0 = p - 1. What is the lowest common multiple of 8 and w?
7064
Let f = -5161 - -51551/10. Suppose -3*r + 64 = 5*r. Suppose r*n + 93 + 219 = 0. What is the common denominator of n and f?
10
Let y = 2242 + -1304. What is the least common multiple of y and 154?
10318
Let v = -452003/60 + 7531. What is the common denominator of -87/1780 and v?
5340
Calculate the common denominator of 145/126 and (-21 - 16)*(-12)/18.
126
Let f = 5804 - 5708. Calculate the least common multiple of f and 648.
2592
Let o = -50156/645 + 389/5. Calculate the common denominator of 14/473 and o.
1419
Let k = -48200/1917 + 670/27. Find the common denominator of 83/42 and k.
2982
Calculate the common denominator of 164/410 - 2/(7080/471) and -43/826.
1652
Let k = -7 + 28. Suppose 2*t + 5*o = -40, -4*t - 3*o + o - 64 = 0. Let a = k + t. What is the least common multiple of 8 and a?
24
Let h = 730246 - 683510125/936. Find the common denominator of h and -103/780.
4680
Calculate the lowest common multiple of (2 - (-506)/33)*(-540)/(-8) and 105.
8190
Let s = 228 + -233. Find the common denominator of ((-19)/(-54))/((-4)/12) and s + (-49)/36 - (-3)/4.
18
What is the smallest common multiple of 36 and -1 + 5 + 3*(-1169)/(-21)?
684
Suppose 2*q = 7*d - 2*d + 590, 0 = 5*q + 2*d - 1504. Calculate the least common multiple of 16 and (-214)/(-11) + q/550.
80
Let w(y) = 2*y**2 - 93*y - 291. Calculate the lowest common multiple of 1335 and w(-3).
2670
Find the common denominator of 1300/60*(-26)/67210 and 137/6.
3102
Suppose -2 = 2*d + 3*f, 18*d = 21*d - 4*f - 14. What is the common denominator of ((-10)/8)/(2 + 47/d) and 79/12?
204
Let i = 377 - 323. What is the common denominator of 253/(-22)*(-15)/i and -68/135?
540
Suppose -442*j = -483*j + 44444. Calculate the least common multiple of 813 and j.
3252
Find the common denominator of (-6)/2 - 99/(-45) and ((-2)/(-88))/((-47)/(-5734)).
110
What is the common denominator of -9/8 and (-9)/1022*(-1827)/348?
584
Let o be (20/30)/((-313)/(-105) - 3). Let s = 74 - 28. Let z = s + o. What is the least common multiple of z and 6?
66
Let y = 4482 + -4458. What is the lowest common multiple of 1116 and y?
2232
What is the common denominator of 28/27 and (8/(-12))/((-120)/(-450)) + (-1227)/(-476)?
12852
Let i = -1/216997 + -28426433/37757478. Calculate the common denominator of i and 13/90.
2610
Suppose 0 = 3*b - 3 - 9. Suppose 1 + 11 = b*m. Suppose -5*j + 2 = -w, 5*w - m*j - 20 = -8*j. What is the least common multiple of w and 30?
30
Suppose 7*s + 22*s - 319 = 0. What is the lowest common multiple of s and 652?
7172
Let j(u) = u**3 + 92*u**2 + 141*u + 4566. Let q = 1 + 5. What is the lowest common multiple of q and j(-91)?
48
Let h = -56 - -163. Let o = -101 + h. What is the smallest common multiple of o and 19?
114
Let l(f) = f**3 - 2*f**2 - 22*f + 17. Suppose -c = 3*m - m - 7, -13 = -3*m - 2*c. What is the least common multiple of m and l(-3)?
38
Let a(r) = r - 5. Let y be a(8). Suppose s + 44 = y*m, 3*s + 0*s - 8 = -m. Suppose -135 = -m*p + 47. What is the smallest common multiple of p and 9?
117
Let r(b) = 13*b + 17*b - 50 - 33*b. Calculate the lowest common multiple of 5/3 - (-8)/(-12) and r(-19).
7
Calculate the common denominator of ((-1)/(-4))/((-27)/(-86)) and 121/336.
3024
Suppose -2*i + 2*a = -522, a + 789 = 3*i + 4*a. Let n = 550 - i. Suppose -2*t - n = -20*t. Calculate the least common multiple of t and 40.
80
Let o = -287237/24 + 11970. Find the common denominator of (3/(-45))/(1128/(-102084)) and o.
120
Let w = -825/2 + 1219/3. Find the common denominator of 37/2050 and w.
6150
Let h be 13*((-2)/(-3) + (-912)/18). What is the common denominator of (-9 - 6070/h) + (-2)/2 and -23/35?
455
Suppose 5*s + 3*k = -4, 0*k = -2*s + 3*k - 10. Find the common denominator of -37/16 and ((-5)/400*s)/((-2)/156).
80
Let o = 1874 - 1852. Calculate the least common multiple of 2334 and o.
25674
Let v = -20405 + 21294. What is the least common multiple of 2032 and v?
14224
Let j be (-4 + 7)*985/30*2. Suppose -3*d - 5*b + 9*b = -284, 0 = -2*d - 5*b + j. What is the least common multiple of d and 84?
672
Let j = 10936 + -10796. What is the least common multiple of j and 112?
560
Let z be 6/6135*((-68)/(-12) - 4). Let d = z + 38029/4908. Find the common denominator of d and 81/92.
92
Calculate the smallest common multiple of 255 and (12160/(-1368))/(2/(-9)).
2040
Let q(r) = 2*r**3 - 56*r**2 + 59*r - 5. What is the lowest common multiple of q(27) and 76?
4940
Let x be 4*1*-2*(118 - 60). What is the common denominator of 44/3 and 25/x + (-32)/512?
696
Let u(d) = -83*d + 98. Let a be u(-4). Suppose -7*q = 304 - a. What is the smallest common multiple of q and 42?
126
Let y = -2779273 - -5386231223/1938. Find the common denominator of y and -65/33.
21318
Suppose 830 - 23622 = -8*f. Suppose -2*d - 633 = f. Let u = d - -52207/30. Calculate the common denominator of -7/9 and u.
90
Let k = -4477/470 + -7/94. Suppose 0 = 24*r - 0*r + 23400. Let o = 936 + r. Find the common denominator of k and o.
5
Let b = -15/212 - -1663/4028. Let f = b + -1/114. What is the common denominator of f and -2 - -1 - 296/(-12)?
3
Let j = -1529 - -1939. Calculate the smallest common multiple of j and 246.
1230
Suppose -2*a = 3*a - 25, -5*a + 1 = -4*t. Suppose 169 - 421 = -t*g. What is the smallest common multiple of 189 and g?
378
Let r = 10033979/62244 - 29717/171. Let h be (0 - 29)*((-84)/(-13))/(-12). Let n = r + h. Calculate the common denominator of n and -71/14.
28
Suppose 8*v = 13 - 5. Calculate the common denominator of 83/18 and (17 + -20)*v/(-86).
774
Suppose -2*b = -2*d - 5 + 3, -5 = -4*b + 5*d. What is the least common multiple of 2 and -2 - -3 - b - 3027/(-3)?
1010
Suppose 0 = -4*z + o + 22, -5*o - 5 = -2*z + 3*z. Suppose -5*w = -z*a + 235, -3*a + 4*w - 217 = -8*a. Calculate the least common multiple of a and 1.
45
Suppose 0 = c - 2, -k + 4 = c + 3. Let y(s) = -2*s**3 - s**2. Let t be y(k). Calculate the common denominator of -68/9 and (-1)/(-13)*(47 + t + 2).
117
Let j(h) = 15*h**2 - 6. Let k be j(2). What is the common denominator of (-30)/(-8) - (-2)/(-3) and (-3)/((-720)/(-1419)) - k/(-9)?
240
Suppose -3*d + 0*g - 6 = -2*g, 4*g = -d - 16. What is the least common multiple of 15 and 1 - -2*(-58)/d?
30
Let v = 2152/3 + -10652/15. What is the common denominator of v and 19/15?
15
Let w = -13 + 10. What is the common denominator of (-609)/(-234) + (-2)/w and 2 + (-604)/40 + 2?
130
Let a = -36895 + 2213887/60. Let b = 730/19 - 7145/228. What is the common denominator of b and a?
60
Let z(d) = 2*d + 19. Suppose 12*a - 54 = 3*a. Suppose -a = -k - 10. Calculate the lowest common multiple of z(k) and 7.
77
Suppose 10931 = 3*f + 2*x, 2*x = 3*x + 2. What is the common denominator of -52/15 and ((-15)/(-4) + 0)/(f/(-315))?
540
Let h(l) = l**3 + 