t a = -163 + p. Calculate the smallest common multiple of 18 and a.
18
Let a be 290544/280 - 6/(-5). Let q = a - 1042. Calculate the common denominator of q and 125/6.
42
Suppose 3*c - 127 = -115. Suppose 5*s = -0*s + c*q - 525, -4*q = 3*s + 347. Let y = s - -118. What is the smallest common multiple of 27 and y?
27
Let a(u) = -196*u + 3959. Let o(w) = w**2 + 7*w + 8. What is the smallest common multiple of o(-6) and a(20)?
78
Let d = 12995 + -11741. Calculate the smallest common multiple of 1368 and d.
15048
Let y be (10073/4)/((-3)/8*4). Let w = y - -1669. Let b = 1607/45 - 346/9. Calculate the common denominator of b and w.
30
Let i = -187926/5 + 37454. Let u(n) = 5*n**2 - 5*n - 7. Let t be u(-5). Let h = t + i. Calculate the common denominator of h and 127/48.
240
Let u(y) = 12*y**2 - y**2 - 8 - 12*y**2 + 2*y**2. Let d = -11 - -5. Calculate the smallest common multiple of u(d) and 8.
56
Let r = -25747/9 + 2857. Calculate the common denominator of r and 40/1207.
10863
Let u(c) = 6*c - 25 - 14*c + 3*c. Let j be u(11). Calculate the common denominator of -50/3 and ((-88)/9)/(j/(-24)).
15
Let p be (-1 - -9)*(7/14)/1. Suppose -140 = p*c - 268. Calculate the least common multiple of c and 28.
224
Suppose 6551 = 22*k + 2261. What is the smallest common multiple of 170 and k?
6630
Suppose 4*b = 4 - 8. Let v be (58/10 - -3)/(3/30). Find the common denominator of (-4)/(v/(-25)) - (b + 4) and 13/4.
44
Let n = -368018/869 - 7/1738. Let k = -428 - n. What is the common denominator of k and 1/4 - (-225)/132?
22
Calculate the lowest common multiple of (-97 - -110) + 2 + 385 and 144.
3600
Suppose 0 = 34*w + 34*w - 12*w - 61600. What is the lowest common multiple of 300 and w?
3300
Let y = -11419 - -16241. Let h = 168786/35 - y. Calculate the common denominator of (-3)/15 - 4/14 and h.
35
Let x = 723/103 - 88697/11330. What is the common denominator of (-325)/(-15)*(-3)/99 and x?
990
Let x be (-1)/3*3924/17. Let w = x - -36115/459. Calculate the common denominator of w and 55/21.
189
Let t = -96806/5 - -215296429/11120. What is the common denominator of -29/4 and t?
2224
Let x(k) = k**2 + 10*k + 12. Let y = 19 - 29. What is the lowest common multiple of x(y) and (-68)/(-60) - (-3)/(225/(-10))?
12
Let w(n) = -n**2 + 7*n + 3. Let s be w(0). Suppose s*p - 4*o - 45 = 0, 4*p - 22 = 2*o + 28. What is the lowest common multiple of p and 67?
737
Calculate the common denominator of -2 - 7 - -9 - ((-2380)/1312)/7 and -32/369.
2952
Suppose 21 = 5*u + 1. Suppose -18 = u*t - 0*d - 3*d, 2*d = t + 7. What is the common denominator of 258/52 + t - 2 and -11/2?
26
Let n = -30831/32 + 964. What is the common denominator of 7/8 and n?
32
Let g = 520998 + -868782. Let p = g - -141200233/406. Find the common denominator of 3/4 and p.
812
Suppose 5*a + 16 = -y + a, 33 = 2*y - 5*a. Suppose 0 = -4*q + 12, -2*k + 3*q = -4*k - 15. What is the least common multiple of y and 6/(-4) + 6/(k/(-25))?
44
Let c be 27/54 + (-174026)/40. Let b = c - -4352. Calculate the common denominator of b and 107/34.
340
Let g be ((-60)/(-18))/(6/27). Let d = 22 + g. Suppose -4*a = -3 - d. Calculate the least common multiple of a and 22.
110
Suppose -36*f = -2*f - 6256. Find the common denominator of (11/(-18))/(f/(-506)) and -13/5.
360
Let t = -2632833/26489270 + 36/26227. Find the common denominator of -33/808 and t.
4040
Let g = 28065561 + -336597755/12. Let z = g + -15757. Calculate the common denominator of (11/18)/((-76)/57) and z.
24
Let t(a) = -a**2 - 23*a + 293. Calculate the smallest common multiple of ((-327)/(-12) - -3) + 2/(-8) and t(-31).
90
Let z = 15493461961/4104 - 3775210. Find the common denominator of z and -17/27.
4104
Let q = 970248 - 970102. Let z(r) = -11*r. Calculate the least common multiple of q and z(-2).
1606
Let n = 7828844 - 1377872235/176. Let t = n - 335/16. Calculate the common denominator of t and -113/6.
66
Let g be 81 + -80 + 0 + 1. Suppose -n = 3*p - 5*p - 19, g*n + 2*p = 8. Let v = -6 + 11. What is the least common multiple of v and n?
45
Calculate the lowest common multiple of 10 and (2378/(-14)*-4)/(28/98).
11890
Suppose 5*s + 3*x - 76 + 14 = 0, -5*s + 42 = -2*x. What is the common denominator of ((-84)/(-8))/(-3)*s/18 and 2*6/36*28/3?
18
Let f(l) = -10*l + 278. What is the smallest common multiple of f(27) and 634?
2536
Let q = -1975 - -1977. Calculate the least common multiple of q and 36.
36
Calculate the smallest common multiple of 12 + (0 - 7) - -107 and 40.
560
Let p = 754 + -178678/237. Find the common denominator of p and -86/759.
59961
Let x = 10150152331/2131880 - 2794/53297. Let m = 4762 - x. What is the common denominator of 109/10 and m?
40
Let d(r) = 3*r**2 + 168*r + 2737. Calculate the least common multiple of 11 and d(-27).
4268
What is the common denominator of (226/5)/((-21828)/535) and (-4)/6*(-2)/(-24)?
306
Let f(v) = 23*v - 10. Suppose -4*g - x = -103, g + 4*x = 50 + 2. What is the smallest common multiple of f(5) and g?
840
Find the common denominator of 4 + (-6 - ((-7524)/112)/11) and 81/328.
2296
Suppose 2*v - 5*v = -15. Suppose 4*p = v*x + 5, p - 2*x + 7 = 2*x. Suppose 27 = p*h - 13. What is the smallest common multiple of h and 16?
16
Suppose -150*l + 259*l = -556 + 13309. Calculate the least common multiple of 30 and l.
1170
Let u(v) = 251*v - 9. Let r be u(0). Let q(p) = -4*p**2 + 1. Let h be q(-2). What is the common denominator of h/r - (-1057)/(-924) and -7/12?
132
Let c be (-4 + 0)*5/30*3. What is the common denominator of -163/30 and (-928)/48*(-1 - c)/(-12)?
90
Let t be ((-11)/(55/(-2)))/(1/(-210)). Find the common denominator of (2/(-44))/(15/(-25)) and 0 + (2 - t/8).
66
Let b be (-106495940602)/(-50571722268) - (-7 - (-4 + -1)). Let a = -33112/652471 + b. Let w = a + 1/2153. Calculate the common denominator of w and 83/2.
18
Let c = -65622 - -131273/2. Let f = -211/140 - -33/14. Calculate the common denominator of c and f.
20
Let t = -25 + 32. Suppose -4*n + t = -2*h - n, -2*h + n = 9. Let v(l) = -l**3 - 4*l**2 + 4*l + 9. Calculate the least common multiple of 18 and v(h).
126
Let l(n) = n**3 + 2*n**2 + 1. Suppose q + 5 = 25. Suppose -9*k - 4*s = -6*k - 12, 4*k + 4*s = q. What is the lowest common multiple of k and l(0)?
8
Let k = -208 - -190. Let v be (-1 + 0/(-1))*-32. What is the common denominator of 2/v*4/k*393 and 173/30?
120
Calculate the common denominator of -8*(-15)/300 + 936/80 and -20/1359.
13590
Suppose -3*q + 7*q = -g + 2, -45 = -3*g + q. What is the smallest common multiple of -1 + 3 - 4 - -4 and (-8)/2 + g/2*2?
10
Calculate the common denominator of 37/45 and ((-3)/5 - (-15730)/(-4875)) + 5.
225
Let n = 3 + 3. Calculate the lowest common multiple of (-5 - -175) + 51/(-1 + -2) and n.
306
Let m = 13840316576323/607147710 - -1/60714771. Suppose -4*k = k + 114005. Let u = k + m. Find the common denominator of u and -83/24.
120
Let k = 325/6 + -131/2. What is the common denominator of k and (-12368)/(-1256) - 5/1*2?
471
Let o(f) = -f**2 - 22*f - 47. What is the smallest common multiple of 1498 and o(-13)?
7490
Let i be 6*(-15)/(-20)*16/(-12). Let t(l) = -7*l - 2. Calculate the lowest common multiple of 20*(i/(-12) + 0) and t(-2).
60
Let o = 1/22831 - 1758517/12100430. Find the common denominator of o and -20/371.
3710
Suppose 2*k = 2*v - 3*k - 12, 0 = -5*k - 10. Suppose 4*r - 15 - v = 0. Suppose -24 = -3*q - d, -q - d + r = -6. What is the lowest common multiple of 1 and q?
7
Suppose 0*i + 2*i - 72 = 0. Suppose 228 = 5*s + 2*z, 0 = -s - 116*z + 112*z + 24. Calculate the smallest common multiple of s and i.
144
Suppose 0 = 10*k - 9*k - 33. Let p(m) = -m**3 + m**2 - 3*m - 40. Let b be p(0). Let h = -13 - b. What is the smallest common multiple of h and k?
297
Suppose -5 = -3*t + 10, 5*t + 305 = 5*q. What is the least common multiple of q and 308?
924
Suppose -473 + 2408 = 12*m + 3*m. What is the smallest common multiple of 1 and m?
129
Let y be (-7)/3 - (-5)/15. What is the common denominator of (-18)/(-22)*y + 0 and 32/132*-8 + 58/116?
66
Let a = 143 + -141. Let g(h) = -h - 3. Let c be g(-7). Suppose c*t - 7*t = -42. What is the lowest common multiple of a and t?
14
Let d = -33301 - -6293836/189. Calculate the common denominator of 133/18 and d.
378
Let d = -54553591/570 - -95708. Calculate the common denominator