ppose 1 = -z + 7. Let r(a) = -4*a + 9. What is the lowest common multiple of z and r(-6)?
66
Let a(c) = -5 - 6*c + c - 19 + 3*c. Suppose d = -4*p + 24, -5*d + 5*p + 32 = 3*p. Calculate the least common multiple of a(-17) and d.
40
What is the common denominator of -68/1467 and 90032/36512 - 10/4?
10269
Let v = -276 - -281. What is the smallest common multiple of (14/5)/(2/5) and v?
35
Let s(d) = 239*d + 1463. What is the smallest common multiple of 149 and s(-6)?
4321
Suppose 0 = 13*s - 14*s + 3*d + 235, 3*s + 3*d = 645. Suppose -3*f = -5*k - 130, 5*k = 2*f + 3*f - s. Calculate the smallest common multiple of f and 35.
315
Let u(b) = -b**3 - 6*b**2 + 3. Let v be u(-6). Suppose -v*x + 5*q + 50 + 5 = 0, -102 = -5*x - 2*q. Calculate the smallest common multiple of 10 and x.
20
What is the common denominator of (19 - 4 - 11) + (-74)/24 and (-4 + (-485)/(-10))/(40 + -1)?
156
Calculate the common denominator of 17/1278 and (10 - 12)*9/5346*111.
14058
Suppose -4*a - 635 = -5*a + 277. Calculate the least common multiple of 570 and a.
4560
Let g = 3/590 + 5289/4130. What is the common denominator of g and 7/(-560)*-713 + (2 - 10)?
560
Let j(d) = -8*d**3 + d**2 + 4*d + 2. What is the least common multiple of 1587 and j(-1)?
11109
Calculate the common denominator of (-5)/220*(-5358)/(-11115) and 59/660.
8580
Let h(b) = b**2 - 20*b + 15. Let g be h(17). Find the common denominator of (-121)/g - (6 - 2) and ((-11)/44)/(9/(-256)).
36
Calculate the common denominator of 8/16 + ((-2586)/(-2640) - (-8)/(-20)) and 67/12.
264
Suppose 7997 + 17995 = 142*k - 212568. Calculate the lowest common multiple of 560 and k.
1680
Let b(z) = -2*z + 30. Let g be b(15). Let v be ((-12)/4)/(1/(-4)). Suppose 3*t + v = -s, -5*t + g*t - 22 = s. Calculate the lowest common multiple of 12 and s.
12
Let j = 1878 - 1086. Calculate the smallest common multiple of j and 18.
792
Suppose -5851*f + 3090 = -5645*f. Let b be 12/7 + (-4)/(-14). Calculate the lowest common multiple of (3/b)/((-3)/(-12)) and f.
30
Let x be 862/(-2) + (1 - 1) + -4. Find the common denominator of (20/375)/((-10)/x) and -17/12.
300
Suppose 21*x = -32 - 10. Find the common denominator of x/20*5 - (-9)/(-6) and 25/6.
6
Let v(h) = -2*h - 2. Let b be v(-1). Let p be (-2 - 171) + (b - -4). Find the common denominator of 20 and 3/2*p/(-78).
4
Let m be -13907*2/4 - 1/2. Let x = m - -229507/33. Calculate the common denominator of -41/6 and x.
66
Let l = 18/10211 + 835849/6616728. What is the common denominator of 133/432 and l?
1296
Suppose 0 = -m - 3*v - 3, -7*m - 22 = -3*m + 2*v. Let o(g) = g**2 + 8*g + 11. Let n be o(m). What is the common denominator of -51/10 and (-5)/6 + 2*n?
30
What is the lowest common multiple of 869 + -4 - (-14)/2 and 22?
9592
Let m = -1/2534705 + 13079117/99360436. What is the common denominator of 99/80 and m?
3920
What is the common denominator of -67/1372 and (-4)/28*(-930)/(-360)?
4116
Let a = 294053/18 + -16335. Find the common denominator of -71/1248 and a.
3744
Suppose -1356 = 86*u - 1644 - 2550. Calculate the least common multiple of 4242 and u.
46662
Suppose 158*j - 156*j = -64. What is the common denominator of -73/1564 and j?
1564
What is the lowest common multiple of 189 and (-122)/(-183)*(-22428)/(-8)?
16821
Suppose -2*j + 3783 = -z, 2*j + 5*z + 1628 = 5417. Calculate the least common multiple of j and 12.
5676
Let l(p) = -p**2 + p + 1. Let w(j) = 3*j - 3*j**2 + 0*j + 0*j + 22. Let d(a) = -4*l(a) + w(a). Calculate the lowest common multiple of d(0) and 16.
144
Suppose -5*s - 8*k = -5*k - 896, 0 = -2*s - 2*k + 356. Suppose 0 = p - 4*q - 59, 4*p + 2*q = 7*q + s. What is the smallest common multiple of p and 3?
39
Let q(p) = 17*p**2 - 151*p - 9. Suppose 5*l = l + 8. What is the least common multiple of q(9) and 2 + 3 + l + 2?
9
Let z = 72 + -62. Let c(a) = 3*a**3 - a**2 - a + 2. Let y = -5 - -7. What is the least common multiple of c(y) and z?
20
Let p = 1/109398 + -1713977/8204850. Calculate the common denominator of 26/3525 and p.
10575
Let m(q) = -8*q + 58. Suppose -4*y + 5*y - 1075 = 0. Let w = y - 7566/7. What is the common denominator of w and m(6)?
7
Let i be 6/(-9)*(-2412)/8. Let v be i/68 + (-9)/36. Let a = v + -244/153. Calculate the common denominator of -5/11 and a.
99
Let h = -5 - -12. Calculate the least common multiple of 63/(-28)*168/(-126) and h.
21
Suppose 5*i = 5*z - 0*z - 9805, 5*z - 4*i = 9806. Find the common denominator of -3/224 and z/132*2/(-6).
2464
Suppose 34 = 3*g - 5*y, -2*g + 40 = -6*y + 12. What is the smallest common multiple of g and 27634?
110536
Suppose 15*a = -500 - 250. Calculate the common denominator of (-30)/a - (-12)/(-21) and 16/35.
35
Let w(t) = 22*t**2 + 22*t - 395. Calculate the lowest common multiple of w(10) and 1575.
14175
Let m(o) = -186*o + 3367. What is the lowest common multiple of 57 and m(18)?
57
Let b be 71 - -7*(-2)/7. Let p = b + -102. Find the common denominator of 67/455 and p.
455
Let v(h) = -170*h + 5458. What is the smallest common multiple of v(32) and 7492?
67428
Let y = -33881 - -3252497/96. What is the common denominator of y and 2 - (-13)/(-168)*46?
672
Suppose 0 = -5*w - 9*w - 14. Let s be 202/((-2)/w)*(5 + 60). Find the common denominator of (-1)/(-5)*s/1534 and 97/18.
1062
Let b be 5/(-96)*-18932 - (-1 + 6). Let o = -1934 + 2917. Let c = b - o. Calculate the common denominator of c and 8/27.
216
Suppose h = 3*w + 162, h - 2*w - 292 = -124. What is the smallest common multiple of 396 and h?
1980
Let k = 105 + -81. Suppose 0 = -4*p - 4*m + 60, 4*m = -4*p + 3*m + 51. Calculate the lowest common multiple of k and p.
24
Suppose 15*m - 7*r = 14*m + 70, 364 = 3*m + r. Calculate the least common multiple of m and 918.
6426
Suppose -5*k + 0*q - 3*q + 493 = 0, -2*k = -q - 195. Calculate the smallest common multiple of 63 and k.
882
Suppose -3*n - 190 = -5*f - 43, 4*f + n - 138 = 0. What is the smallest common multiple of 165 and f?
165
Suppose -4*f + 12 = w, 4*w - 4*f = 2*w. Suppose -3*j - j - 2*z = -96, -j = z - 26. Calculate the lowest common multiple of w and j.
44
Let i = 9764903329967265/99502 + -98137759340. Let g = -2/3827 - i. Let l = 256933/18 + -14278. Calculate the common denominator of l and g.
234
Let l = 7/1637 - -103043/1551876. What is the common denominator of l and 33/8?
1896
Let g(n) = 3*n**2 + n + 5. Let c(z) = -2*z**2 - 3. Let q(d) = 5*c(d) + 3*g(d). What is the smallest common multiple of q(2) and 150?
150
Let z(o) = 123*o - 2692. What is the smallest common multiple of z(22) and 494?
3458
Let f be (-1)/(-1775)*(-61685)/(-22). Let v = -4/355 - f. What is the common denominator of (-15)/(-6)*(-273)/165 and v?
22
Let w(r) = r**3 + 11*r**2 - 2*r - 18. Let y be w(-11). Suppose 25 = 5*o - 5*z, -o + z = -z - y. Calculate the lowest common multiple of 58 and o.
174
Suppose -2*c + 30 = -5*w, -3*c - 3*w = -2 - 1. Suppose 0 = c*h + 4*s - 63, 3*s = 6*h - h - 49. Calculate the lowest common multiple of h and 23.
253
Let w = 7 - 3. Let j = 760 - 740. Suppose -w*d + 3*l = -j, -2*d + 6 = -l - 4. Calculate the least common multiple of 78 and d.
390
Let y(g) = 15*g**2 + 1. Let h = -60 - -58. Let r be -1*(h + 3/1). What is the smallest common multiple of y(r) and 2?
16
Let l = -1988387/44170 - -1576/35. What is the common denominator of -115/18 and l?
11358
Let i(v) = -v**2 - v + 1. Let x be i(-2). Let c be (x/3)/(6/(-1530)). Calculate the common denominator of 32/33 and (c/(-210))/(4/8).
231
Suppose 312 = 69*d + 7*d - 296. What is the lowest common multiple of 16 and d?
16
Let h = -198 + 188. What is the lowest common multiple of (-1)/(-2) + h/16*-12 and 4?
8
Calculate the common denominator of -97/46 and ((-4)/(-690))/((-628)/48513).
230
Suppose -6*t + 3220 = -t - 0*t. What is the least common multiple of 1012 and t?
7084
Let z = 11 - 11. Suppose 0*d + 4*d + 2*m - 22 = 0, -5*d - 4*m + 29 = z. Calculate the least common multiple of d and -4 - -1 - -14*1/2.
20
Let i = -756 - -774. What is the least common multiple of 10 and i?
90
Let k(n) = -n**2 - 5*n + 108. Let p be k(-12). Suppose -14*u + p = -60. What is the lowest common multiple of 166 and u?
498
Suppose 146 + 67 = 3*j. Suppose 3*b - 105 = 4*c, 9*c - 4*c = 4*b - 141. Suppose -b = -5*q + j. Calculate the least common multiple of 14 and q.
154
Let y(t) = t**3 + 