 + 9/170. Let u be 140/390*(-132)/(-80). Let n = -8477/6630 + u. What is the common denominator of d and n?
51
What is the lowest common multiple of (-4)/7 - ((-96)/(-144) - 3916/42) and 120?
2760
Suppose 5*q = -2*m + 24, -2*m = 2*q - 4 - 2. Let o(u) = u**2 - 7*u - 3. What is the lowest common multiple of 3/((-1 + 35/20)/q) and o(9)?
120
Suppose 4*r - 2*f = 2222, 0 = -5*r - 2*f + 2201 + 599. Find the common denominator of (-372)/r + -43*(-1)/240 and -173/30.
240
Calculate the common denominator of 148/(-1656) - (0 + (-9)/27) and -44/1863.
3726
Let d(x) = x**3 - 5*x**2 + 5*x - 2. Let k be d(4). Calculate the common denominator of (k/4)/((-8)/(-41)) and 6/((-192)/(-286)) + -4.
16
Let y = -212/19 + 2402/171. Let p = -497/36 + y. Find the common denominator of p and (-44)/(-330)*(-305)/4.
12
Let r = -943606/1095486399 + -2/238201. Find the common denominator of r and -107/504.
36792
Let v = 854854 - 1696030277/1984. Find the common denominator of v and -7/10.
9920
Suppose -4*g = 4*k - 300, k - 3*g + 33 = 136. Calculate the lowest common multiple of 94 and k.
3854
Let j = 86593/16884 + -1357/252. What is the common denominator of 37/12 and j?
804
Find the common denominator of 6/(-2) - 1348/(-360) and (-5)/6*(-16)/((-3840)/(-2484)).
360
Suppose 222*c = 225*c. Suppose -3*y - 2*h + 6*h + 28 = c, 4*y - 39 = 5*h. What is the least common multiple of y and 40?
80
Let d = -3659/4 + 29231/32. What is the common denominator of 78/(-50)*((-17)/(-2) - 11) and d?
160
Suppose 5*c + 5*t = -10, 2*t + 12 = 5*c - 6. What is the common denominator of -2 + -2 + (-1177)/(-88) and (-138)/(-50) - c - -1?
200
Suppose 619 = 50*d - 2181. Calculate the lowest common multiple of d and (-2)/(135/70 + -2).
56
Let t(p) = -12*p**3 + 5*p**3 + 6*p**3 + 5*p**2 - 38*p - 26*p**2 + 12. What is the least common multiple of 430 and t(-19)?
2580
Let i = -4014 + 4243. Calculate the least common multiple of 8 and i.
1832
Let c = 55309/4644 + 8/1161. Let r = -5 - -2. What is the common denominator of c and (-188)/(-40) + r + -1?
60
Let j = 168635/14 - 12045. What is the common denominator of -95/3654 and j?
3654
Let p be 16690/(-8) - (-4 + 0)/16. Let i = -27100/13 - p. Find the common denominator of -25/7 and i.
91
Suppose -178 + 40 = -2*j + 102. What is the smallest common multiple of 72 and j?
360
Let v = 295328295/572 - 516308. Find the common denominator of 113/60 and v.
8580
Let f(t) = 3*t**2 - 6*t + 6. Suppose -1095 = -60*y + 57*y. Suppose -17*c - 59 = -y. What is the lowest common multiple of c and f(4)?
90
Calculate the common denominator of ((-7)/((-49)/(-77)))/980 and -10/539.
10780
Find the common denominator of 93/44 and (897/780)/(11/2).
220
Let a = 15909 - 10738619/675. Find the common denominator of a and 169/600.
5400
Let x = 706 - 666. Calculate the lowest common multiple of x and 540.
1080
Let m(s) = s + 3. Calculate the least common multiple of 264/(-110)*(-475)/10 and m(7).
570
Let o = -851/208 + -7/208. What is the common denominator of o and 37/20?
40
Let b = 149 - -148. Let w = b + -285. Calculate the least common multiple of w and 7.
84
Let r = 16/8789 - -274229/8683532. What is the common denominator of 85/36 and r?
8892
Find the common denominator of 4/1080*(1309/170 - 1) and 65/189.
18900
Let k be (1/3)/((24/108)/(-2)). Let o(m) = -11*m - 6. Find the common denominator of o(k) and ((-13)/6)/(-1)*-10.
3
Let m = 205970 - 611681/3. Let c = m + -2098. Find the common denominator of c and 41/10.
30
Suppose -2*w = w + 4*r - 1592, 3*r = -2*w + 1061. Suppose -540*o = -w*o - 792. What is the least common multiple of o and 9?
99
Calculate the common denominator of 79/440 and 1 + 2/10 - (-25)/((-125125)/3601).
3080
Calculate the lowest common multiple of 7/(-3) + 1312/492 - 55/(-15) and 6/4*656/12.
164
Let m = 150 - 323. Let t = m + 321. Calculate the common denominator of (t/(-24))/((-9)/2) and -77/18.
54
Suppose 5*f + 293 = 2*n - 471, -2*n = 7*f - 716. Calculate the least common multiple of 44 and n.
4092
Suppose 66*x - 2040 = 1231 + 3329. Let u(n) = -n**3 - n**2 + 2. What is the smallest common multiple of u(-3) and x?
100
Let r = 2/194519 + -812700400/1750671. Let h = -41791/90 - r. Calculate the common denominator of -11/36 and h.
180
Let t(a) = 77*a**3 - 3*a**2 + 7*a - 3. What is the least common multiple of t(1) and 338?
1014
Calculate the common denominator of 63/(-84) - ((-4831)/(-1104) + -5) and -25/1472.
4416
Let m be (248/(-186))/((-1)/3). Suppose 2*i - 42 = -c, -m*i - 126 = -3*c - 3*i. Calculate the lowest common multiple of ((-44)/(-6))/((-2)/(-9)) and c.
462
Let f = -1093655 - -2739605704/2505. Find the common denominator of f and 32/75.
12525
Let x = 767103/116 + -6613. Calculate the common denominator of x and -121/12.
348
Suppose -10*t + 50 = -15*t. Let w be ((-5)/t*63)/3. Let j = w + -8. What is the common denominator of -23/14 and j?
14
Suppose -100 = -5*m - l + 105, 5*m - 225 = -5*l. Calculate the smallest common multiple of m and 330.
1320
Suppose -4*j = -l + 98, 11*l = 7*l + 2*j + 420. Suppose 4*x + 7 = -2*s + 3*s, 0 = -3*s - 5*x + l. What is the smallest common multiple of 6 and s?
54
Let m(l) = 2*l**2 + 32*l + 34. Let y be m(-14). Let b(p) = p**3 + 23*p**2 + 20*p - 41. What is the lowest common multiple of 78 and b(y)?
78
Let y(x) = -x**3 - 10*x**2 + 10*x + 19. Suppose 3*k + 3*g + 63 - 255 = 0, -2*k - 4*g + 124 = 0. What is the least common multiple of y(-11) and k?
330
Suppose 5 = t + 2. Suppose -q = 5*i - 76 + 84, -5*q = -4*i - 76. What is the least common multiple of q and t?
12
Let r(u) = -u + 14. Let y(a) = -8*a - 8. Let s be 2/10*2*-5 + 0. Let w be y(s). What is the lowest common multiple of 21 and r(w)?
42
Let c = 432 - 165. Calculate the common denominator of -109/22 and c/508 - ((-517)/(-44) - 11).
2794
Let f(c) = -2*c**2 - 3*c + 2. Let l(u) = u + 3. Let x be l(-5). Let b be f(x). What is the lowest common multiple of 22 and (-2)/(-4) - (b - (-1)/(-2))?
22
Let b(a) = a**2 - 4*a + 6. Let p be b(2). Suppose -l = -4*l - 9, 3*l = -p*s - 1. Suppose s*m = -5*m + 54. Calculate the least common multiple of 3 and m.
6
Let b be ((-791370)/175)/((-704)/11). Let t be (-1)/2 - 6657/(-96). Let y = t - b. Calculate the common denominator of y and -19/10.
70
Calculate the smallest common multiple of 114 and (-3)/(-30)*(-340)/102 - 496/(-3).
6270
Let x(z) = -z**3 - 12*z**2 + 125*z - 150. Let v(g) = 8*g**3 - 8*g**2 + 6*g - 6. What is the least common multiple of v(5) and x(-19)?
824
Let j = -11304975380902 + 332366276288022191/29400. Let m = j + 3/9800. Let k = -54737/18 + m. Find the common denominator of -62/27 and k.
54
Let x = 3684/7 - 1035253/1967. Let m = x - -4003/14050. Find the common denominator of m and 95/22.
550
Suppose 3*q - 4*x + 114 = -88, -2*x = 4. Calculate the lowest common multiple of ((-100)/q)/(-1*(-2)/28) and 72.
360
Let y be (-37242)/(-3312) + 2/8. Let n = -422806/23 - -18374. Let l = y + n. What is the common denominator of l and -53/3?
24
Let n be (36/21)/(2/7). Suppose b = 18 - n. Suppose 8*f = -16 + 304. What is the smallest common multiple of f and b?
36
Let m = 179235/22924 - 1/2084. Let h = 763/99 - m. Find the common denominator of (-68)/60*10/4 and h.
18
What is the smallest common multiple of 568*((-26)/(-48) + 5/(-30)) and 24?
1704
Let j = -5993 + 6509. What is the least common multiple of j and 39?
6708
Calculate the least common multiple of (-196)/(-14) - (-3 + 5) and 150.
300
Find the common denominator of 231/5775 + 1023/1300 and 39/16.
208
What is the common denominator of ((-628)/64 + 10)/((-6)/(-38)) and 67/56?
112
Suppose v - 67 = -53. Suppose -c - 2*l + 7*l = 22, -3*l = -5*c. Suppose 25 + 29 = c*o. What is the least common multiple of o and v?
126
Suppose -3*x = -2*k - 30, -3*x + 5*k - 7*k = -30. Calculate the lowest common multiple of x and (-102)/(-8) - (-3)/12.
130
Let j(b) = 3*b**2 - 114*b + 506. Calculate the least common multiple of 13307 and j(5).
146377
Let g be 32/12*51/(-4). Calculate the common denominator of (((-341)/231)/31)/((-2)/(-186)) and ((-3)/(-2))/(g/(-12)).
119
Let o = -7864 - -180917/23. What is the common denominator of 60/750 - 3614/(-450) and o?
207
Let f be (-16)/((-14)/18 + (-40)/180). Suppose 0 = -4*p - 3*d - f, -3*d - d - 20 = 4*p. What is the common denominator of (885/(-231) - p)