462
What is the common denominator of -49/1224 and (0 - 24/10) + 1 - 2158684/(-1544960)?
9792
Let d = -465965/219 - -2128. Find the common denominator of 73/27 and d.
1971
Suppose -1014*g = -1025*g + 165. What is the least common multiple of 155 and g?
465
Find the common denominator of (-355)/3960*17 + (-8)/(-18) and -67/1485.
11880
Suppose 5*h + 1507*q - 1504*q - 1382 = 0, 0 = 5*q + 30. What is the least common multiple of 3416 and h?
17080
Suppose -4*y + 152 = 148. Suppose 0 = 8*c - 45 - 27. What is the least common multiple of y and c?
9
Find the common denominator of 36/11 and ((187/(-2))/(-11)*-2)/((-568)/(-24)).
781
Find the common denominator of -91/594 and -10 + (-15)/(-5) + (66678/22032 - -4).
40392
Let x = 2622951/367 + -7147. Let k = x + 712/4037. Find the common denominator of k and -9*(-5)/120*-38.
44
Let l = -3846 + 5014. What is the smallest common multiple of 18 and l?
10512
Let p = 201 - 135. Let x(s) = -s**3 + 16*s**2 - 12*s - 18. What is the smallest common multiple of x(15) and p?
594
Let i be (30/(-25))/(2/(-30)). Let z = 6 + i. What is the common denominator of -32/9 and (-14)/9*z/(-32)?
18
Let d = -34 + 33. Let r(u) = -14*u - 8. Suppose 2*i = 26 + 6. What is the lowest common multiple of i and r(d)?
48
Let f = 665 + -285. Suppose 4*w = -w + 40. Find the common denominator of (-5)/w*f/45 and 2/15.
90
Let n be (81/12)/((-12)/5232). Find the common denominator of (2/(-11))/((-36)/n*6) and -73/4.
44
Let i = -251/114 - -4709/3705. Find the common denominator of 31/100 and i.
1300
Calculate the common denominator of 7/(-3)*(-2)/16 and (-20)/666*1715/350*(-12)/7.
888
Let u be (-5)/1*1278/39. Let d = 2828694 + -147082385/52. Let b = u + d. What is the common denominator of b and 13/8?
8
Let y = -47806602/11 + 1541952085/352. Let h = y - 34494. Calculate the common denominator of h and -55/28.
224
Calculate the common denominator of (165188/72)/(-61) - (-1)/9 and 79/2028.
2028
Let c(o) = 11*o - 8. Let s be c(-8). What is the common denominator of 213/(-99) - (12 - 14) and -10*2/s*50?
132
Let m(r) = -r - 2. Let d be m(-5). Suppose 172 = -2*p + 4*t, d*p = t - 26 - 242. What is the least common multiple of 5 and (1/(-2))/(9/p)?
5
Let k = -1209/2 + 50719/84. Calculate the common denominator of k and ((-28)/(-30))/((-1152)/95 - (-456)/38).
252
Suppose l + 42 = 4*l. Let n = l - 20. Find the common denominator of n and ((-322)/(-36))/1 - (-9)/234*-13.
9
Let l = 5618 + -5282. What is the least common multiple of l and 784?
2352
Suppose -4*i + 4*v + 88 = 0, 37 = 5*i + 5*v - 73. Suppose -2677146*h - 1216 = -2677184*h. What is the smallest common multiple of i and h?
352
Let c(d) = d**3 - 7*d**2 + 15*d - 67. Let s be c(5). Calculate the lowest common multiple of 202 and (-6)/(-21) + (-450)/s.
2222
Suppose -2*g = -5*g + 3528. Calculate the common denominator of -131*((-146)/48 - -3) and ((1 + 1)/16)/((-90)/g).
120
Let a = 8 + -6. Suppose a*x + 0*w + 5*w = 60, 6 = -3*w. Calculate the common denominator of x/10*(-9 - 3) and 99/2.
2
Suppose -2 = -3*x + 1. Calculate the common denominator of 21/478 and ((-11)/12*1)/(1/x).
2868
Let m be 11087952/340*15/191634*-4. Let x = -2/28577 - m. Let i = -1943/114 + x. Find the common denominator of 51/10 and i.
30
Calculate the common denominator of ((-876)/584)/(5520/(-158)) and -77/276.
5520
Let w = 6 - -16. Suppose 6*l = 2*g + l - 5, -2*g - 4*l - w = 0. What is the common denominator of -41/14 and 183/(-42) + g + 1 + 2?
14
Suppose 22 = 4*i - 0*i - 2*s, -3*i - s = -4. Suppose 0 = 5*m + i*z - 213, -m + 0*z = 3*z - 45. Calculate the least common multiple of m and 49.
294
Suppose -24 = -m - 4*x, 12*m = 13*m - 3*x + 11. What is the smallest common multiple of m and 36?
36
Find the common denominator of 75/376 and 3 - (-9)/((-13536)/3248).
376
Let o be (((-16)/20)/4 - 0)*-5. Let p(u) = -u**3 + 6*u**2 - 6*u + 7. Let m be p(5). What is the common denominator of ((-151)/m)/(o - (39 + 1)) and -35/8?
312
Let k(y) = 1321*y + 108. What is the least common multiple of k(2) and 1?
2750
Let a = 25 - 76. Let t = 27 + a. Calculate the common denominator of t/(-30) + 456/(-45) and 19/5.
15
Let k = 100049/19812 - -2/24765. Let f = 116 + -114. Calculate the common denominator of (-8)/23 - f/4 and k.
460
Suppose 3*j = 5*j - 22. Let s(r) = r**3 - 19*r**2 - 18*r - 20. Let c be s(20). Suppose -2*a - 3*a + c = 0. Calculate the lowest common multiple of j and a.
44
Let j be (-12)/44 + 1365423/374. Let k(n) = -607*n - 5. Let l be k(6). Let y = l + j. What is the common denominator of y and 53/20?
220
Let x be 9/(-6)*3*30/(-27). Suppose -x*c = -a + 97 - 345, 0 = -c - 3*a + 56. Find the common denominator of -69/44 and ((-5)/c)/((-5)/95).
220
Let d = -249 - -352. Let r = 153 - d. Calculate the smallest common multiple of 10 and r.
50
Find the common denominator of 14/495 and ((-546)/486)/(232/(-24) + 8).
1485
Let g = 4/1917 - -24797/59427. Calculate the common denominator of g and (3/18)/(1/(-38) + 0).
93
Suppose -2 = m - 1. What is the common denominator of -38/15 and (12/(-16) - m)/((-6)/248)?
15
Let f(d) = 8*d**3 + d**2 - 3*d + 1. Let b be f(1). Suppose 25 = 5*l, b*i - 3*l = 10*i - 36. Calculate the least common multiple of i and 24.
168
Let q = -289 - -294. Suppose -5*w = q*w - 180. Suppose 0 = 2*n + n - 12. Calculate the least common multiple of n and w.
36
Suppose v - 669 = 5*d, -2658 = -4*v + 56*d - 54*d. Calculate the lowest common multiple of v and 996.
1992
Let o be 5/(30/(-33)) + (-3)/6. Calculate the common denominator of 63/16 and ((-1615)/357)/((-16)/o).
112
Calculate the common denominator of -9/170 and ((-168)/80*2)/(54/15 - 4).
170
Suppose -10*i + 3344 = i. Let p = 392 - i. What is the least common multiple of 96 and p?
1056
Suppose -t + 4*j = -36, 5*t - 111 = -3*j - 0*j. What is the least common multiple of 16 and t?
48
Let z(u) = -u**3 - 7*u**2 + 19*u - 4. Let b be z(-8). What is the common denominator of 0 - (-3)/(60/b) and -97/10?
10
Find the common denominator of 97/78 and 1180/728 + ((-216)/30 + 7)*5.
546
Let b(k) = -140*k + 4614. Suppose 20 = 3*s - 5*i, -4*s + 46 = 2*i + i. Calculate the least common multiple of s and b(32).
670
Suppose -k + 5*k - 68 = 0. Let m(o) = -o**2 - 40*o - 160. Let d be m(-24). Let w = 234 - d. What is the smallest common multiple of w and k?
170
What is the common denominator of -119/12 and -5*14/64260*-309?
612
Calculate the common denominator of -11/738 and (10/(-96))/(-2 + (-515)/(-260)).
1476
Let s = 3599 + -3589. What is the lowest common multiple of s and 964?
4820
Suppose 0 = -128*g + 102*g + 3822. What is the lowest common multiple of (-42)/(-2) + (0 - -3) and g?
1176
Let r(d) = -30*d - 8. Let l be r(-6). Let k = 82 - l. Calculate the common denominator of ((-1212)/k)/((-4)/5) and 11/7.
42
Let u(d) = d**2 - 428*d - 2147. Calculate the smallest common multiple of 180 and u(-5).
180
Let b(j) = -3*j**2 + 24*j - 113. Let z be b(6). Calculate the common denominator of (-14)/z - (1 - (-1125)/(-44)) and 32/9.
36
Suppose 489 = 5*c + 129. Let y = -9857 + 9865. Calculate the smallest common multiple of y and c.
72
Let k = 13 - -37. What is the lowest common multiple of k and (35/4)/(3507/2004)?
50
Let b = 37033 - 373597/10. Let v = b - -326. Find the common denominator of -83/158 and v.
790
Suppose -4*h - 3*h = h. Suppose 4*m - 182 - 74 = h. What is the smallest common multiple of m and 7?
448
Suppose -3*n + 70 = 2*n - 5*m, 0 = -5*n + m + 58. Let p(d) = d**3 - 17*d**2 + 44*d + 1. Calculate the lowest common multiple of n and p(3).
77
Let t = 1608 - 962. Let z = -645 + t. Let h(v) = 5*v - 1. What is the least common multiple of z and h(1)?
4
Suppose 0*x + 4*x + 747 = 5*p, -5*p = -2*x - 371. Let d = -182 - x. What is the smallest common multiple of 76 and d?
228
What is the least common multiple of 126 and 28 - -5*21/(-15)?
126
Find the common denominator of (65/(-1680)*4)/(-2 + 3) and -10/231.
924
Let a = 288593/24 - 12023. What is the common denominator of -99/10 and a?
120
Suppose 0 = -5*d + 8*d + 4*v - 26977, d - 5*v = 9024. Let o = -341857/38 + d. Calculate the common denominator of o and -29.
38
Let m be (-9)/(-12) - 29325/(-4). Let d = 58565/8 - m. Calculate the common denominator of 53/16 and d.
16
Suppose 2*x - 20 - 64 = -4*i, 4*x + 5*i - 165 = 0. Calculate the common denom