 + 69. Let a be p(-21). Find the common denominator of (-178)/a - 60/150 and -58/15.
60
Suppose 5*j - 4*s = 55, -s = 3*j - 0 - 16. Suppose -649 = a + 4*i, 4*i + 3261 = -5*a - 0*a. Let r = a + 659. What is the lowest common multiple of r and j?
42
What is the common denominator of -99/4238 and 150282/(-27720) - 9/21?
42380
Let h(q) = 6*q**2 + 117*q - 12. What is the least common multiple of h(-20) and 10/4*78/65?
48
Let o(t) = t**3 - 8*t**2 + 10*t + 14. Let x be o(6). Find the common denominator of 3 + x - 6830/1220 and 93/22.
1342
Let b = 4176 - 3272. What is the least common multiple of 20 and b?
4520
Let t(k) = 13*k + 158. Calculate the smallest common multiple of t(-11) and 2181.
10905
Let c be ((-3)/(-8))/(72/255984). Let w = c + -1323. Find the common denominator of w and 9/20.
20
Let a(t) = t**2 + 10*t + 10. Let g be a(-9). Let r = g - -5. Suppose 4*v - v - 18 = 0. What is the smallest common multiple of r and v?
6
Suppose 193*v - 183*v - 28210 = 0. Let p(f) = -f + 1. Let y be p(-4). Calculate the common denominator of (v/560 - y)/((-3)/67) and -117/20.
80
Let f = -2095/12 - -74003/420. Find the common denominator of -71/210 and f.
210
Suppose -2*u = -3*t - 3*u - 13, u = 4*t + 29. What is the common denominator of t*(-3)/135*295/(-12) and (-935)/(-150) + 13/5 + -2?
18
Let u(f) = -f**3 - 7*f**2 - 4*f - 8. Let i be u(-7). Let s = i + 4. Find the common denominator of -10/9 and s.
9
Suppose 158*s - 161*s - 9 = 0, s = -3*w + 51. Calculate the smallest common multiple of w and 872.
7848
Find the common denominator of -12 - -6 - (-1444)/120 and 65/792.
3960
Let g(b) = 12*b**2 + 188*b - 8. Let u(h) = 26*h + 2. Calculate the least common multiple of u(1) and g(-16).
56
Let r = -2 + 1. Suppose -11*a + 20 = -101 + 22. What is the common denominator of -16/33 and a/(-15) + r/(660/844)?
33
Suppose 3 = -3*r, 2*c + 2*r = 6*c - 294. Suppose -4*o = -5*s + 82, 2*s + c = -6*o + 3*o. Let b = -17 - o. What is the lowest common multiple of 8 and b?
24
Let d = 14258984/3717 + -26854/7. What is the common denominator of -95/472 and d?
4248
What is the smallest common multiple of 252 and (-5 + 232/40)/(4/240*4)?
252
Suppose s - 2*x = -0*s, -3*x = 9. Calculate the common denominator of (51/5 - 2)/(s/10) and ((-38)/(-12))/((-69)/(-92)).
9
Suppose -2*f = -4, 0 = d + 3*d - f - 2. Calculate the lowest common multiple of (21/(-14))/((-116)/(-128) - d) and 17.
272
What is the common denominator of 16/4 + (-15)/102870*27508 and 83/2667?
24003
Let c = 87 - 94. Let h be ((6/(-9))/(c/(-105)))/(-2). Suppose 3*w - 53 = -h*o, 3*w + o - 63 = 10. Calculate the smallest common multiple of 22 and w.
286
Let h be (6*3)/((-3)/(-4)). Let n = -17 + h. Suppose i - n = 3. What is the lowest common multiple of i and 18?
90
Let c(t) = 3*t - 24. Let n be c(9). Suppose -15 = -n*l + 15. Calculate the lowest common multiple of l and 8.
40
Let w = 402 - -3767. Let q = 341833/82 - w. What is the common denominator of q and -47/20?
820
What is the common denominator of 3 + (-5 - 1 - 6069/(-2016)) and -83/960?
960
Let b(h) = 60*h**3 - h**2 + 29*h - 28. What is the least common multiple of 192 and b(1)?
960
Let o = -497/3 - -184. Calculate the common denominator of o and (-27630)/(-2565) + (-2)/19.
3
Suppose 110*m + 24 = -2*z + 114*m, -4*m = 4. What is the common denominator of (((-26964)/(-27))/z)/20 and 95/8?
120
Let q = 1/36568 - -182719/4424728. Calculate the common denominator of -56/143 and q.
1573
Let u(g) = 5*g - 30. Let p(z) = -z + 1. Let r(y) = -4*p(y) - u(y). What is the lowest common multiple of 28 and r(6)?
140
Calculate the lowest common multiple of 510 and ((-24)/(-12) + 68)*(-24)/(-28).
1020
Let l(a) = -3*a - 70. Let k(u) = -4*u - 140. Let w(o) = -3*k(o) + 5*l(o). What is the smallest common multiple of 122 and w(16)?
1342
Suppose 8*i + 4*j = 3*i + 324, 0 = -2*j - 8. Let q = 74 - i. Calculate the smallest common multiple of q and 16.
48
Suppose 84 = 20*w - 16*w. Suppose -d + h + 0*h - 576 = 0, -2*h = 3*d + 1723. Let f = d - -1700/3. Find the common denominator of w and f.
3
Suppose 0*f + 124 = 3*s - 4*f, -s + f = -41. What is the smallest common multiple of 6/(-21) + -11*4334/(-847) and s?
280
Let f = 159 - 251. Let y = -80 - f. What is the least common multiple of 24 and y?
24
Let c = 62 - 61. Calculate the least common multiple of c and -8*3*5/(30/(-4)).
16
Find the common denominator of -47/1656 and (-15)/12 - (764*3/48)/(-46).
1656
Suppose 4*f - v - 299 = 0, -f - 2*v + 4*v + 66 = 0. Suppose -28*n + 26*n + f = 0. Calculate the smallest common multiple of n and 7.
266
Suppose -36 = 2*x - 14*x. Suppose -10*p = -73 + x. Calculate the least common multiple of p and 5.
35
Let n = 920422/5 - 183081. Let f = n + -997. What is the common denominator of 71/35 and f?
35
What is the least common multiple of (7*24/42 + -400)/(-2) and 484?
4356
Let u = -634 - -724. Calculate the least common multiple of 90 and u.
90
Suppose -120*i - 877 + 7597 = 0. Calculate the least common multiple of 368 and i.
2576
Suppose -5*d = -3*h + 65, 2*h - 5*d - 13 = 37. Suppose -s - 4*f - 5 = -2*s, 3*s + 5*f = h. Find the common denominator of -71/12 and (-2)/s + (-801)/(-990).
132
Suppose 5*m - 6*m = -3. Let i = 5 - m. Let a(d) = d**2 - 14*d - 9. Calculate the least common multiple of a(15) and i.
6
Let q = 11037 + -11035. Calculate the lowest common multiple of q and 2050.
2050
Calculate the common denominator of (-216)/396 + (-3)/((-93456)/15617) and 55/14.
19824
Suppose -12*x - 12 = -15*x. Suppose 0*b - b - 4 = 0, x*b + 276 = 4*p. Calculate the smallest common multiple of 52 and p.
260
Let v be ((-96)/108)/(2/24)*-3. Suppose -3*s + 5*q + 53 = 0, 4*s = -0*s - 3*q + v. Let l = -8 + 11. What is the least common multiple of s and l?
33
Suppose -14*z - 217 = -21*z. Suppose z*f + 56 = 38*f. What is the least common multiple of 14 and f?
56
Let i = 46603 - 7829221/168. What is the common denominator of (-182)/48 + 12/(-24) and i?
168
Suppose -1156 = -19*c + 1371. Suppose -c = -11*s - 8*s. Let w(o) = o**2 - 4*o - 4. Calculate the least common multiple of w(5) and s.
7
Let q = -29229 - -29274. What is the least common multiple of 3546 and q?
17730
Let o = 8693 + -5060. Calculate the lowest common multiple of 4 and o.
14532
Let f = -254400183/620 + 410323. Calculate the common denominator of -149/30 and f.
1860
Suppose -880 = -1148*m + 1140*m. Calculate the lowest common multiple of m and 99.
990
Let k = 7087244/147 + -48213. Let a = -16351/12 + 1361. Find the common denominator of k and a.
588
Let i = -4783309/80 + 59790. Let k = -4865549/6346290 + 2/211543. Find the common denominator of k and i.
240
Let i = 4906 - 4886. What is the smallest common multiple of i and 4?
20
Suppose 217*h - 3764 = 576. Calculate the lowest common multiple of h and 636.
3180
Let j(l) = l + 22. Let z = 24 - 19. Suppose -4*u = q + 59, z*u + 0*u + 100 = 4*q. What is the lowest common multiple of j(u) and 16?
48
Let l = -60577/67587 - 2/1733. Calculate the common denominator of -35/18 and l.
234
Let a be ((-104)/65 + 4)*10/4. Calculate the common denominator of 17/56 and 1361/(-812) - a/(-87).
56
Suppose 11*r + 87 = 21. Let x(n) = -n**2 - 5*n + 2. Let u be x(r). Let d(k) = k**3 + 3*k**2 - 7*k - 6. Calculate the smallest common multiple of d(u) and 15.
30
Let q = 75 - 55. Suppose -560 = -7*c + 476. Let t = -134 + c. What is the least common multiple of t and q?
140
Suppose 0 = 92*j - 191*j + 23166. What is the smallest common multiple of 261 and j?
6786
Suppose 2*f = 8 + 44. Let j be (18/8 - 2)/((-10)/(-760)). Suppose 21*l = j*l + 20. Calculate the lowest common multiple of l and f.
130
Let c(t) = 5*t - 257. Let l be c(5). Calculate the common denominator of 9/16 and 209/48 + (l/24 - -9).
16
Suppose 99*c - 55386 = 65*c. Calculate the smallest common multiple of c and 1448.
13032
Let i(z) = -166*z - 9. Let k be i(-11). Let n be (-24385)/(-15)*(-9)/8. Let t = n + k. Find the common denominator of 31/6 and t.
24
Suppose 3*y + 28 = -74. Let w = y - -76. Let z = -40 + w. Calculate the lowest common multiple of z and 18.
18
Let d(q) = 15*q + 21. Let r(y) = 7*y + 11. Let t(b) = 2*d(b) - 5*r(b). Let c be t(-5). Let i = -4 + c. What is the least common multiple of 3 and i?
24
Suppose -5*a - 3*k = -16, 3*a = 9*k - 7*k + 2. Suppose 0 = 4*t - 2*g 