f s and 49/230.
2530
Suppose 2 = -v, 5*n = 5*v + 172 + 3. What is the smallest common multiple of n and 27?
297
Let g = 10/22327 + -1898935/2545278. What is the common denominator of g and 32/323?
1938
Let v(n) = 3*n**3 + 3*n**2 + 3*n + 3. Let j be v(-2). Let z = j - -27. Calculate the least common multiple of z and 8.
24
Suppose 247*r + 200 = 243*r. What is the common denominator of 77/52 and r/4*(-39)/104?
208
Let z be (-6 - -4) + 60 + 0. Let c be z/6 - (-8 - -12). Let f = -6 + c. What is the common denominator of f and -31/44?
132
What is the common denominator of (-58)/12 - 4/2 and -1 + 5 + ((-1183)/42 - -8)?
6
Suppose -160 = 5*g + 5*d + 350, 2*g + d = -201. Let n = -77 - g. What is the lowest common multiple of 8 and n?
88
Find the common denominator of 2*3 - (-2875)/(-300) and -43/220.
660
Let j be (3 + 48/(-18))/((-2)/6). Let a(f) = -24*f. What is the least common multiple of a(j) and 9?
72
Let z(c) = -12*c - 12. Let i be z(-4). Suppose -4*k + i = -28. Calculate the least common multiple of 20 and k.
80
Let k = -17/46 + -2221/276. Calculate the common denominator of ((-8)/5)/(-4)*(-83)/(-4) and k.
60
Let d = -967673/1062 + 8198/9. What is the common denominator of -5/12 and d?
708
Let l be ((-119)/14)/((9/(-30))/3). Let x = -128 + l. What is the common denominator of x and (0 - -1)*94/(-18)?
9
Calculate the lowest common multiple of (-56)/(-5)*(2/(-4) - -3) and 10.
140
Let n = 52858/3255 - 1450/93. Find the common denominator of -71/3 and n.
105
Let s = 232 - -323. What is the least common multiple of s and 6?
1110
Suppose 17*y + 558 - 82 = 0. Let v = -6/179 + 5412/1253. Calculate the common denominator of (-4)/y + 1884/140 + -3 and v.
35
Suppose -5263*x = -5254*x - 54. Let j(c) = -4*c - 5. Calculate the smallest common multiple of x and j(-4).
66
Suppose 5 = s - 3. Suppose -2*q - 3 = -5*q. Calculate the smallest common multiple of 35/10*(q + 1) and s.
56
Let n be 21/14*(-2)/(-3). What is the common denominator of -111/10 and 65/(-364)*(21 + n)?
70
Let j be (152446/(-42))/(4/(-3)). Let x = 2703 - j. What is the common denominator of x and (-90)/27*57/(-4)?
4
Suppose 3 = 2*w + 1. Find the common denominator of -2*705/72*18/45 and w/2 - 30/11.
66
Let j(c) = -13*c**2 - 8*c + 8. Let y be 3/4 - (-42)/8. Let q be j(y). Find the common denominator of 1/((-24)/q) - -1 and 87/4.
12
Let k(t) = -t**2 + 4*t - 3. Let y = -24 - -26. Calculate the lowest common multiple of k(y) and 5.
5
Suppose 7*o + 5 = 9*o - 5*f, 20 = 4*f. Suppose 0 = 5*i - 14 - 16. What is the lowest common multiple of i and o?
30
Suppose -6 = -j + 30. What is the least common multiple of j and 24?
72
Let j be (1 + 0)*(-2 - 38380968). Let l = j - -63789166883/1662. Let y = l + -1/277. Find the common denominator of -35/6 and y.
6
Calculate the lowest common multiple of 15 and (6/(-8))/(766/64 - 12).
120
Let c(l) = 2*l**3 - 4*l**2 - 7*l - 30. What is the least common multiple of c(5) and 3?
255
Let h = -43653/11 + 3964. Let y be (-8)/(-4) + (-186)/3. Find the common denominator of h and (-204)/y*(-15)/(-2).
22
Find the common denominator of 29/15 and (-726)/(-90) - (-5)/(5/(-2)).
15
Let h(z) = -z**3 + z**2 + 2*z - 4. Calculate the lowest common multiple of h(-3) and -4 - ((-72)/(-15))/((-34)/85).
104
Suppose 2*j - 12 = 4. Suppose j*z = 12*z - 4. Calculate the lowest common multiple of 10 and z.
10
Let z(p) = -3*p**2 + 7*p + 5. Let u be z(5). Let h = 42 + u. Calculate the least common multiple of 1 and h.
7
Let h(d) = -d - 1. Let m be h(-1). Find the common denominator of 52/88 - (m - -2) and 119/6.
66
Let b = -208237915/25319 + 57572/7. Let x = 15393493/1291269 + b. Let c = x - 61/17. Find the common denominator of -97/2 and c.
6
Suppose 4*s + 43 = 5*l, l + 3 = 2*l. Let a = 9 + s. What is the least common multiple of 28 and 15 - (1 + 0/a)?
28
Suppose -5*u - 10 = -10*u. Suppose 2*y = l + 11 + 5, -y - 2*l = -13. Calculate the smallest common multiple of y and u.
18
Let d = 42 + -49. Let b = d + 18. What is the lowest common multiple of b and 2?
22
Suppose 0 = -2*n + 4*n + 12. Let s = n - -8. Let l = -2002 + 2007. What is the smallest common multiple of s and l?
10
Let a be (133/(-35))/(12/4390). Let v = 1398 + a. Let t = -10777/1052 + -3/526. Calculate the common denominator of t and v.
12
Let y = -44911 - -3592783/80. What is the common denominator of y and -49/32?
160
What is the smallest common multiple of 653 and 4896/480 - (-8)/10?
7183
Let w(b) be the second derivative of b**3/6 + 41*b**2/2 + 20*b. Calculate the smallest common multiple of 9 and w(-18).
207
Let l(j) = 3*j + 42. Let u be l(-14). Suppose -3*q + 6 = -u*q. Suppose 5*d + 2 = -f, 3*f + 5*d = 5*f - 11. What is the lowest common multiple of f and q?
6
Suppose 0 = 2*g - 2 - 6. Suppose 4*x - 686 = -3*p, -254 + 1122 = 4*p - 4*x. Calculate the smallest common multiple of g and 2/(-9) - p/(-27).
8
Suppose 0 = -7*y + 2*y + 60. Suppose -y*i + 8*i = -96. Suppose 4*t + 4*g - i = 0, -3*t + g + 3 = -3. What is the least common multiple of 6 and t?
6
Let j = -30 - -25. Calculate the common denominator of (-3 - -70)/(j + -1) and -87/8.
24
Let g = -227486658/2965 + 76724. Let t = 216453/11860 - g. Calculate the common denominator of t and 45/49.
196
Let w = -1856 - -3813/2. What is the common denominator of (-23 - -1)/(144/(-45)) and w?
8
Suppose -5*s = -18*s + 2899. Let x be (8/10)/(36/10210). Let u = x - s. What is the common denominator of u and 58/3?
9
Suppose 2*y - 24 = -2*b - 2*b, y - 24 = 4*b. Let l = 17 + -38. Let u = l + 33. Calculate the lowest common multiple of u and y.
48
Suppose -l = 5*i - 23, 0 = i - 2*l - l + 5. Suppose -r + 4*s = 4*r + 24, s = 1. Calculate the least common multiple of 20 - (0 - (r + 0)) and i.
16
Suppose 12*n = 8*n + 64. Let c = 92 - 76. Calculate the lowest common multiple of n and c.
16
Let c = 116 + -112. Let a(n) = -n**2 + 7*n + 7. Let b be a(6). Suppose -2*x - 3*r = -b, -5 = -x - r + 1. What is the smallest common multiple of x and c?
20
Let l be (-36)/(-15) - 2/5. Suppose -l*b = n - 6*n + 62, 0 = 3*n + 2*b - 34. What is the least common multiple of ((-120)/(-18))/((2/(-6))/(-1)) and n?
60
Calculate the common denominator of 8/32 + 147/(-72) and 1/3 + 2540/(-240).
24
Let t = -3570/11 + 1199641/3696. Calculate the common denominator of 127/210 and t.
1680
Let t be (1 - -6) + -2 + -3. Suppose 0 = -0*d - 5*d + 2*a, -t*d - 2*a + 14 = 0. Calculate the least common multiple of 58 and d.
58
Let o = -31/105 + -18/35. What is the common denominator of o and 17/69?
483
Let g = 1208 + -8482/7. Let z be (-25)/(-9) - 6/(-27). Calculate the common denominator of g and z/(-10)*(-58)/6.
70
Let z = 184 - 120. What is the smallest common multiple of 8 and z?
64
Suppose 10*m = -16*m + 234. What is the least common multiple of m and 1?
9
What is the lowest common multiple of 10/15*3*-1 - -17 and 3/(-1) - (-330)/11?
135
Let f = -581808/37 + 44889865/2368. Suppose 5*y - 16159 = -2*k, -4*y + y + 9708 = -3*k. Let q = f - y. Calculate the common denominator of 103/6 and q.
192
Let q(d) = -d - 8. Let v be (2 - 1)/((-5)/55). Let y be q(v). Calculate the least common multiple of -6*(y - (-9)/(-2)) and 6.
18
Let d(y) = y**2 - 3*y + 4. Let s be d(3). Calculate the lowest common multiple of (-23)/(-2) - (-2)/s and -14*(-1)/(-3)*-3.
84
Suppose -3*w + 5*n - 14 + 65 = 0, -2*w + 2*n + 30 = 0. Calculate the least common multiple of 252 and w.
252
Suppose 0 = -4*z + 5*z - 159. What is the smallest common multiple of z and 18?
954
Suppose 2*m + 15756 = 4*m. Suppose 2*r - m = -0*r. Let j = r + -23579/6. Calculate the common denominator of j and -79/12.
12
Suppose 16*f + 1895 = 5*v + 11*f, -5*v = 5*f - 1865. Calculate the lowest common multiple of 8 and v.
376
Calculate the common denominator of 85/182 and (((-776)/1)/4)/(-40).
1820
Let w = 123463/990 - 1868/15. Calculate the common denominator of w and -25/216.
2376
Let s = -235 - -241. Let n be 0/(-1)*(-1)/(-2). Let k = s - n. What is the least common multiple of k and 2?
6
Let k = -179/12096 + 9/448. Calculate the common denominator of 29/147 and k.
1323
Let s(i) = -460*i - 10. Let v be s(-4). Let b be -1 - -1 - v/220. Let k = b + -123/11. Find the common denominator of k and 53/12.
12
What is the lowest common multiple of 33 and (-36)/(-2)*2/4?
99
Suppose 4*q - 192 = 4*v, -5*