1. What is the least common multiple of s(2) and 12?
36
Suppose 5*n = -4*l + 187 - 42, -2*l = -5*n - 35. Find the common denominator of 319/l - (-1)/(-3) and 64/45.
90
Let p(r) = -111*r - 2*r**3 + 52*r + 52*r + 3*r**3 + 14 - 4*r**2. What is the smallest common multiple of 77 and p(6)?
308
Let k(l) = 2*l**2 + 20*l - 115. What is the smallest common multiple of 847 and k(6)?
847
Let x be 22052/(-135)*10/(-240). Let v = x + -1/162. What is the common denominator of v and 771/126 + 3/18?
35
Let j = -8049 + 8103. What is the lowest common multiple of j and 1962?
5886
Let i(q) be the first derivative of -q**3/3 - q**2 + 3*q + 13. Let o be i(0). What is the common denominator of -14/39 and ((-7 + o)/16)/((-2)/372)?
78
Let t(v) = -9*v + 42. Let w be t(4). Suppose -2*r = r + w, 3*c + r = 40. What is the least common multiple of c and 258?
1806
Let b = 12432 - 12091. What is the least common multiple of b and 1860?
20460
Suppose -40*t = -44*t + 20. Suppose -5*b + 28 = 2*j - 3*j, -140 = t*j + b. Find the common denominator of -1/24 and (40/14)/(5 + 122/j).
72
What is the common denominator of 8/(-60) - 9389/(-216480) and 119/264?
1056
Suppose -81 + 1463 = 4*l + 14*n, -3*l = -5*n - 1021. What is the smallest common multiple of 7 and l?
2394
Let p = 191/13 - 2819/260. Let n = -853 - -10223/12. Calculate the common denominator of n and p.
60
Suppose 263 = 3*z + 23*b - 18*b, 0 = -5*z + 5*b + 505. What is the smallest common multiple of 16 and z?
96
Let l(z) = -7*z - 10. Let t be l(-2). Find the common denominator of t + 3 + (-41)/4*3 and 37/8.
8
Let a(u) = -u**3 + 13*u**2 + 4*u - 3. Suppose 0 = -3*j + b + 39, -82*j + 84*j - 3*b - 26 = 0. What is the lowest common multiple of 112 and a(j)?
784
Suppose -23*d - 12*d + 840 = 0. Suppose 647*p - 646*p - d = 0. What is the lowest common multiple of 16 and p?
48
What is the common denominator of -67/400 and ((3757/(-170))/(-17))/(-8*(2 - 0))?
800
Let u be (-1 - -1 - -7)/((-25)/(-125)). Calculate the lowest common multiple of ((-45)/u - -1) + (-86)/(-7) and 42.
84
Calculate the common denominator of -25/2316 and (-4)/2 + -3 + 365/90 + -3.
6948
Let j be (2 - 1)/1*3. Suppose t - 15 = j*y, 6*t - 143 = t - 2*y. Calculate the smallest common multiple of t and (-1)/(-11) + ((-10860)/66)/(-5).
297
Let t = -36038 - -36063. Let n(o) = o**2 - 5*o - 5. Calculate the smallest common multiple of t and n(7).
225
What is the least common multiple of 1406 and 95/(-38)*(-54)/(-15) - -47?
1406
Let b = 86271 + -210779. Let p = -18925309/152 - b. Find the common denominator of p and -49/40.
760
Let q(r) = r**2 + 42*r - 1520. Calculate the smallest common multiple of 24 and q(-68).
744
Let y = 6717 + -6657. Calculate the least common multiple of y and 340.
1020
Let f be (3 - 2)/((-9)/45). Calculate the common denominator of ((-330)/24)/f*-5 and 24/5.
20
Let i be 6/2*-1006*212/(-1104). Let t = i - 579. Calculate the common denominator of (109/(-24) - 0)*2 and t.
276
Let c be 8/60 - (-365)/75. Suppose 0 = 3*a - 2*v + v - 9, -c*v = -2*a - 7. Calculate the least common multiple of (-2)/(-5) - (-43)/5 and a.
36
Suppose 12*s - 17*s = 5305. Let i = s + 4209/4. Calculate the common denominator of (-3 + 436/140)*777/(-84) and i.
140
Let o(m) = -2*m**2 - 25*m - 43. Let b be o(-14). What is the common denominator of 121/174 and (-1)/(-3) - (b/(-60) - 8)?
348
Let m = -1 - -3. Calculate the common denominator of 237/474*(-30)/(-14) and 2/m*(-89)/4.
28
Suppose 0 = -7*l - 305 + 39. Calculate the common denominator of -1/6 and (l/(-8) - -2)*(-16)/192.
48
Find the common denominator of (706748/(-82271) - -9) + (-24)/56 and -5/803.
18469
Let m = 16294987/14 - 1166591. Let j = 2662 + m. Let f = 81669/22 - 3713. Find the common denominator of j and f.
154
Suppose 9*s + 0*s - 72 = 0. Suppose -3*f = m - 149, s*f - 148 = 5*f - 2*m. What is the least common multiple of (-3)/((-2)/30*1) and f?
450
Let i = 74 - 85. What is the lowest common multiple of 50 and (4 + i)*20/(-14)?
50
Suppose 5*x + 5 + 5 = 0. Let k be (x + -4 - -3) + 14/2. Let d(i) = i**3 - i**2 - 6*i + 3. What is the lowest common multiple of d(k) and 33?
297
Let m = -7920 + 118847/15. Suppose -36 = -30*t + 21*t. What is the common denominator of (9 - t) + -38*(-2)/(-8) and m?
30
Let g(k) = 216*k**2 + 15*k + 15. Calculate the smallest common multiple of g(-1) and 18.
216
Suppose 4*b = 27 + 13. Suppose 5*m - 347 = y, 0 = 4*m - y + 5*y - 268. Let q = -59 + m. What is the least common multiple of b and q?
10
Let y = 901/14 + -160/7. Let m = 86 + -60. What is the common denominator of y and ((-36)/(-27))/(m/(-81))?
26
Let z be 4/(-8) + (-4542074)/(-58072). Let p = 544/7 - z. Let w = p - -26971/37332. Find the common denominator of 67/30 and w.
90
Let q(m) = -2*m**3 - 6*m**2 - m. Let i be -6*((-2)/3 + 35/30). Calculate the smallest common multiple of 83 and q(i).
249
Let h = -8563 - -8569. What is the least common multiple of h and 249?
498
Let z = 365471/147312 - -3/5456. What is the common denominator of z and 22/1119?
10071
Let x = 277/139 + -104815/56712. What is the common denominator of -46/459 and x?
3672
Let s(m) = 11*m**3 - 3*m**2 - m + 3. Suppose 9 = 37*u - 28. Let o = 17 + -9. Calculate the least common multiple of s(u) and o.
40
Find the common denominator of 23*(-15)/(-57)*((-10020)/(-1250) - 8) and 127/150.
2850
Suppose -98*t = -96*t - 8. Let d(u) = 89*u - 88. Calculate the lowest common multiple of 2 and d(t).
268
Let c = 27 - 29. Let d be c/6*3*(-4)/1. Suppose -j + 6*l + 22 = 3*l, 36 = d*j + l. Calculate the smallest common multiple of j and 8.
40
Suppose 32 = 5*h + 12, -5*g - 2*h - 71752 = 0. Let b = -258251/18 - g. Calculate the common denominator of (-93)/30 + 136/170 and b.
90
Let w = -466 + 806. Let y = 7910 - 7890. Calculate the smallest common multiple of y and w.
340
Suppose -3*k = 5*l - 47, 2*l - 2*k = -2*l + 42. Let y = 211 + -207. Suppose -3*v + f = -75, -f - y + 1 = 0. What is the lowest common multiple of v and l?
120
Let r(s) = -3*s**2 + 15*s + 3. Let p be r(5). Suppose 8*h - 5*h = 6. What is the least common multiple of h and p*4/(-6) + 42 + 0?
40
Let h(q) = q**2 - 6*q - 103. Let p(z) = z**3 - 7*z**2 - 8. Let d be p(7). What is the least common multiple of h(d) and 3?
9
Let p = 5413 - 4566. What is the least common multiple of p and 242?
1694
What is the common denominator of -107/970 and ((-4710)/(-3880) + 3/12)*(-11)/44?
970
Let c be ((-4323)/(-54))/11 + -5. Let i = c + -94/9. Calculate the common denominator of 53/39 and i.
78
Let c(j) = -46*j - 30. Let m be c(-7). Let t = -2/301 + 16567/1806. Find the common denominator of (10/(-80))/(2/m) and t.
12
Let a = -8018 + 8026. What is the lowest common multiple of 126 and a?
504
Suppose 40*h = -81*h + 2908 - 730. Calculate the smallest common multiple of 177 and h.
1062
Find the common denominator of (-8)/(-10)*((-7)/231)/((-2)/(-6)) and -31/70.
770
Let i = 105658666/5 + -425381803261/20130. Let r = -2/183 - i. Find the common denominator of 35/176 and r.
176
Suppose 401 = 59*n + 27*n - 1319. What is the least common multiple of n and 6392?
31960
Suppose 2*z - u + 2 = 13, 5*z = -5*u + 5. Let d = -56 + z. Let n = 61 + d. What is the least common multiple of 13 and n?
117
Let j = -334 - -624. Suppose -4*y = 3*q - j + 113, 0 = 2*y - 3*q - 93. What is the smallest common multiple of 15 and y?
45
Suppose -211 = -25*p - 11. Let f(l) = -8*l - 5. Let s be f(-8). Let q = -37 + s. What is the lowest common multiple of p and q?
88
What is the lowest common multiple of -27 - -34 - 364/(-3 - 1) and 812?
5684
Let j(y) = y**3 - 2*y**2 - y - 4. Let s be 7/((-14)/6)*-1. Let z be j(s). Let f(m) = m. What is the smallest common multiple of f(z) and 13?
26
Let b(x) = x**3 + 4*x**2 + 3*x + 2. Let j be b(-3). Suppose -j*u + 6*u = -4. Let n = u + 11. What is the lowest common multiple of 9 and n?
90
Let c = -2725825/216 - -12619. Calculate the common denominator of c and 37/976.
26352
Let a = -4714 - -5254. Calculate the least common multiple of a and 20.
540
Calculate the common denominator of 12/(-180) + (-88)/30 + (-777)/(-264) and 149/312.
3432
What is the common denominator of 37/5 and ((-75)/36 + 2)*(-14308)/(-1274)?
390
Let d(m) = 7*m**2 + 98*m + 1367. Calculate the least common multiple of d(-23) and 1760.
14080
Let w(d) = 2*d**3 + 14*d