denominator of 40/321 and -3 + (-5 - -4) - 189/(-33).
3531
Suppose 2*n = -13*b + 10*b - 281, -n = 2*b + 142. Let f = n + 186. Calculate the smallest common multiple of 60 and f.
300
Let g = -21 - -23. Suppose 2*q + g*d - 10 = 0, 0 = q + 4*q + d - 21. What is the smallest common multiple of 8 and q?
8
What is the common denominator of -39/35 and ((-424)/336)/((-1)/(1/(-1)))?
210
Let k(i) = 2*i**2 + 2*i - 1. Let o = 2 + -4. Let z be k(o). Calculate the least common multiple of 9 and ((-2)/(-4))/(z/60).
90
Suppose d - 2 = 1. Calculate the common denominator of (-696)/80 - (-2 + d) and -151/78.
390
Suppose -36 = -5*u + 69. What is the least common multiple of 3 and u?
21
Suppose 0 = 8*d - d - 161. Let j = -19 + d. Let g = 44 - 26. Calculate the least common multiple of g and j.
36
Let d(x) = x**3 - 7*x**2 + 3*x. Let p be -2 - (3/5 + 384/(-40)). What is the lowest common multiple of d(p) and 24?
168
Suppose 5*u - 3*u = 18458. Suppose -f - 7107 = u. Let n = f - -490133/30. What is the common denominator of n and -43/2?
30
Let w = 7190/4631 + -3/421. Find the common denominator of w and ((-3)/26 - 0)/((-4)/88).
143
Suppose -4*i - 4*f = -5*i + 13, -4*i = 4*f + 8. What is the common denominator of -26 and 1505/(-60) + i/3?
4
Let q = -2/263931 + -336512009/2111448. Let c be (-317)/(-2) - 2/4. Let s = c + q. Calculate the common denominator of 33/10 and s.
40
Let p = 5871626/1785 + -115044/35. Let g = -13/51 + p. What is the common denominator of 52/7 and g?
35
What is the common denominator of 174/4*(-5)/(-40) and (-20)/(-42)*532/(-96)?
144
Let f = 23 + -18. Let g = -263 - -273. Calculate the smallest common multiple of f and g.
10
Suppose -3*v = -6*v + 12. Suppose -5*f + 6 = -2*f. Suppose 19 - 7 = -f*t - 4*p, 0 = -2*p - 10. What is the lowest common multiple of v and t?
4
Let s(q) = -q**2 - 29*q + 31. What is the smallest common multiple of s(-26) and 11?
1199
Let y be -239 - (4/1 + -5). Find the common denominator of 73/14 and 1/((-8)/(-10))*y/287.
574
Let v(y) = 7*y + 89. Suppose -4*b + 3*f - 47 = 0, -2*b + f - 2*f - 21 = 0. Calculate the least common multiple of 2 and v(b).
12
Let z be 29 - (15/1)/5. Suppose -5*m + z = -29. Suppose 3*y + 3*f = 12, y + 0*f - 14 = f. Calculate the smallest common multiple of y and m.
99
Suppose -r = 0, 5*r = 5*x + 4 - 24. Let k = -222 - -230. What is the smallest common multiple of k and x?
8
Let i(j) = -6*j**2 + 13*j + 13. Let k be i(10). Suppose -2*b + 0*b = -5*w + 9, -3*w = -b - 6. What is the common denominator of 79/28 and k/40 + w/(-15)?
56
Suppose 53*k + 8 = 61*k. What is the lowest common multiple of 776 and k?
776
Suppose 4*x = -z + 2, 3*z - 6*z = 3*x - 6. Suppose 3*v - 2*m = -32, -v + 4*v + z*m = -40. Calculate the common denominator of 37/11 and (73/6)/(8/v).
44
Suppose -5*v + 31 = 5*j - 2*j, 3*v = 15. Let p(m) = 9 + m**3 + 0*m**j + 5 - m - 8*m**2 - 3. What is the least common multiple of p(8) and 18?
18
What is the smallest common multiple of 9 + 245/(-28) + 15/4 and 714?
1428
Suppose 0 = -2*b - 5*b + 329. Suppose -38 + b = 3*x. Calculate the least common multiple of x and 24.
24
Suppose 20*g - 8 = 16*g. Suppose 52*z + 110 = 57*z. What is the smallest common multiple of g and z?
22
Suppose -o + 14 = o. What is the smallest common multiple of o and 1/2 + 2/((-32)/(-88))?
42
Calculate the common denominator of 7/249 and ((-61)/3)/((-120)/90).
996
Calculate the common denominator of (123*10/(-270))/(7/(-3)) and 61/42.
42
Suppose -693 + 147 = -14*c. What is the least common multiple of c and 52?
156
Let q be (-9 - -11) + (1 - 15). Calculate the common denominator of ((-66)/(-12))/(2/q) and 4*(-2)/(-24)*(-306)/22.
11
Let z = 26471/504210 + -2/16807. What is the common denominator of z and 31/231?
2310
Let w = 254 - 244. Calculate the least common multiple of 10 and w.
10
Let v = -1/1512 + 5923/1512. What is the common denominator of v and 455/30*8/14?
12
Let x(p) be the second derivative of -p**4/12 + 7*p**3/3 - 6*p**2 - p. Let h be 2/7 + (-164)/(-14). What is the common denominator of x(h) and -10?
1
Let q be 4*(2 - 3) + 0. Let a be ((-140)/21)/(q/42). What is the common denominator of 14/4*a/(-77) and 117/10?
110
Let v = 20670 + -8722. Let y be (-1)/(-2) - 119584/(-10). Let r = v - y. Find the common denominator of r and -77/10.
10
Suppose 0 = 222*m - 197*m - 4950. What is the lowest common multiple of 16 and m?
1584
Suppose 4*c + 2*c - 12 = 0. Calculate the common denominator of 1/c*-3 - -30 and -65/2.
2
Suppose -2*a + 4*o + 1 + 7 = 0, 0 = a + 3*o - 4. What is the least common multiple of 3 and 0/(2 - a) - -10?
30
Suppose -k + 5*k = 8. Suppose -5*i = 3*c - 99, i + 4*c - 24 = k*c. Suppose 0*u - 5*u = 5*w - 35, 0 = -4*w + 12. What is the least common multiple of u and i?
36
Suppose -347 + 81 = -7*y. Let c = 18 - 8. Calculate the lowest common multiple of c and y.
190
Let r be -19*(-3)/(-3) - (-3)/(-1). Let q = 8 - r. Calculate the lowest common multiple of q and 14.
210
Suppose -200 = 7234*r - 7235*r. What is the lowest common multiple of 20 and r?
200
Let v = -242 - -614. Calculate the lowest common multiple of v and 2.
372
Let d = 425 - 273. Suppose -5*q + d = 52. What is the smallest common multiple of q and 40?
40
Let c(s) = s**3 - 8*s**2 + 3*s - 10. Suppose 2*p = -t + 17, -t + 5*t + 28 = 4*p. Let y be c(p). Calculate the common denominator of 213/112 + 4/y and 7/12.
48
Let z(t) = t**2 - t + 132. Let i be z(0). Find the common denominator of 110/36 + 6/(-3) and (-1)/6 + 316/i.
198
Let z = -77 - -113. Suppose 5*i - 2*t - 4 - z = 0, -i + 5*t = -31. Suppose -5*v + 15 = 0, -2*c + 2*v + 5 = -3. What is the lowest common multiple of i and c?
42
What is the common denominator of 1278/432 - (9 + -3) and -149/36?
72
Let o(f) = -f**2 - 7*f + 3. Let n be o(-6). Suppose x + 3*k = -0*k + n, -5*k + 26 = -2*x. Calculate the lowest common multiple of 8 and x/((-34)/(-12) - 3).
72
Let g(j) = -2*j**3 - 17*j**2 + 8*j - 3. Let v be g(-9). Find the common denominator of (-1183)/(-420) + (-4)/v and -11/4.
20
Let m = -472252/13485 + 3122/87. Let i = 983/620 + m. Find the common denominator of i and 41/20.
20
Let k(d) = 4*d**2 - 17*d - 10. Let g(c) = c**2. Let p(x) = 5*g(x) - k(x). Let n(b) = 10*b**2. What is the lowest common multiple of p(-17) and n(-1)?
10
Let a = -8314 + 99709/12. Let v = 3971/6 + -649. Find the common denominator of a and v.
12
Suppose 7*t - 5*t - 18 = 0. Let c = t + -3. What is the common denominator of 83/8 and (2/16)/(c/(-414))?
8
Let j(t) = t**3 + 2*t**2 + 1. Let b be j(-2). Let x = -67 + 71. Let w = b + x. Find the common denominator of -55/8 and w.
8
Let c = 5017/2040 - -4/255. What is the common denominator of -85/248 and c?
1240
Let d(t) = -767*t + 1. Let k be d(-2). Let u be (-5169)/k - 3/(-6). Let c = u + -10/307. What is the common denominator of c and 47/8?
40
Let k(t) = -t**3 - 12*t**2 - 25*t - 25. Let u be k(-11). Suppose 0 = 3*x + h - 4*h - u, 0 = -5*x - 2*h + 194. Calculate the least common multiple of x and 28.
280
Let d(i) = 6*i**2 - 30*i + 39. Calculate the lowest common multiple of d(3) and 67.
201
Let t = 1644 - 24607/15. Let k = t - 4/15. What is the common denominator of 121/30 and k?
30
Let s = 17197/2178 - 5/726. Find the common denominator of (54/(-14))/(8/14) and s.
36
What is the least common multiple of 4 and 10 + -20 - (-2 - 306)?
596
Let t = -2/22867 + 1669331/457340. Let f be 118*13900/(-528)*-3. Let z = -9324 + f. Find the common denominator of z and t.
220
Let s be 12*((-10)/4 - -3). Let g be 9 - 0 - (-7 + s). Calculate the common denominator of 35/4 and (18/g)/((-18)/(-315)).
4
Suppose -10*o - 14 = -44. Let p(w) = 8*w**2 + w + 1. Calculate the smallest common multiple of p(-1) and o.
24
Find the common denominator of (10 + -10)/6 + 48/5 and -14/3.
15
Let v(o) = -4*o**2 - 3*o**2 + 7*o**2 + 2*o**2. Suppose -3*g = -4*g - 2. What is the smallest common multiple of v(g) and 16?
16
What is the smallest common multiple of 6 and (-315)/(-65) + (-10)/(-65) + 97?
102
Let u = 372 - 361. Let t be ((-17 - -1) + 0)*3. Calculate the common denominator of 9*(110/t)/u and 73/16.
16
Suppose b + 4*w = 3*b + 508, -w + 1270 = -5*b. Calculate the common denominator of 111/22 and -4 + (1 - b/24).
132
Suppose 4*u - 2*z - 206 = 0, 10*z = 4*u + 15*z - 185. Calculate the smallest common multiple