
40
Let f be (0 + 0)/(-7 - -4). Calculate the common denominator of -47/18 and 3/12 - (f - -7).
36
Let l = 33 + -46. Let d be -16 - 1*-1*(-24)/(-6). Let c = d - l. What is the lowest common multiple of c and 1?
1
Suppose -3*i - 3*l = 2*i + 18965, 18965 = -5*i - l. Let m = -144199/38 - i. Find the common denominator of (-1464)/560 - (14/(-10) + 1) and m.
266
Let d = 1163/136 - -14/17. Find the common denominator of d and -93/10.
40
Suppose 5*n - 4*h = 44, 8*n - 3*n = -5*h + 80. Suppose -5*y + n = -8. What is the least common multiple of y and 7?
28
Let l be 81/(-12)*8/(-3). Let t be 352/36 + 4/l. Let q(o) = o - 5. Calculate the least common multiple of 6 and q(t).
30
Calculate the lowest common multiple of 61 and 21 + -3 + -7 + 0.
671
Suppose 5 = x - 15. Let u(w) = w**2 - 15*w + 40. Calculate the smallest common multiple of u(12) and x.
20
Let a be -14*(6/(-3) - -78). Calculate the common denominator of a/(-21)*2/(-8) and (946/(-363))/((-2)/(-3)).
33
Suppose 0 = -2*v + 305 + 43. Calculate the lowest common multiple of v and 48.
1392
Let l be ((-27)/(-6))/(9/24). Suppose 0 = 3*s + 2*h + l, -5*s + 0*s + 2*h - 4 = 0. Calculate the common denominator of -7/6 and (-17)/s*21/(-15).
30
Let m = 4 - 2. Suppose 0 = 4*v - 16*v + 24. Suppose 4*s + 12 = v*u, -m*u + s + 59 = 2*u. What is the lowest common multiple of 6 and u?
48
Let p(l) = -58*l + 22. Calculate the smallest common multiple of p(-7) and 2.
428
Suppose 0 = -9*y + 1524 - 1470. What is the smallest common multiple of 198 and y?
198
Let d = -11/37 - 193/222. What is the common denominator of 2/(((-64)/1240)/(6/25)) and d?
30
Let h = 50/7 - 67/28. Calculate the common denominator of -67/192 and h.
192
Suppose 45*c - 5*c = 1000. What is the smallest common multiple of 255 and c?
1275
What is the common denominator of -99*19/(-342)*(-4)/150 and -92/45?
225
What is the common denominator of -11/16 and (2 - 0)/((-576)/40)?
144
Let a = 72951/16 + -4561. Calculate the common denominator of 27/10 and a.
80
Let i = -22 + 23. Let h = i + 17. Calculate the smallest common multiple of h and 7.
126
Let i = 147449 + -45414239/308. What is the common denominator of -97/84 and i?
924
Let h be (-1118)/10 - 10/50. Find the common denominator of (-1210)/h + (-21)/49 and -17/12.
24
Let p(t) = -t**3 + 13*t**2 - 13*t + 18. Let f be p(12). Let r(b) = b**2 + 2*b - 7. What is the least common multiple of r(-5) and 38/f - (-10)/15?
56
Let o be 4*(-12)/(-16) - -7. Suppose 5*w + 3*v = 12, 4*v - o = -4*w + 2*v. What is the lowest common multiple of 3 and w?
3
Let j = 5421 + 4211. Let y = j - 211969/22. What is the common denominator of y and 31/32?
352
Let a = 337026 - 90996853/270. Calculate the common denominator of a and 77/30.
270
Let j = -364 - -367. What is the smallest common multiple of j and 51?
51
Suppose j = -3*j. Suppose j = 4*w - 7 - 1. Let m = -17 + 25. What is the lowest common multiple of w and m?
8
Let v be (-3 + 1)*(-2 + (-18)/(-4)). Suppose -2*k - 15 = 67. Let b = k - v. What is the common denominator of 12/25 and b?
25
Let k be 766960/100 + (-1 - -2). Let d = k + -920543/120. What is the common denominator of -47/2 and d?
120
Calculate the common denominator of ((-22)/(-7))/((-840)/(-42)) and 23/21.
210
Let v(c) = c**3 - 8*c**2 - 11*c + 138. What is the smallest common multiple of 20 and v(9)?
120
Let f(r) = 5*r + 9. Let n(d) = d. Let i(h) = -2*f(h) + 14*n(h). Calculate the least common multiple of i(6) and 27.
54
What is the common denominator of ((-2)/5)/((8232/2485)/21) and 51/490?
980
Suppose 6*c = 4*c - 4932. Suppose 0 = -3*a - 9 + 15. Calculate the common denominator of 42/11 and c/(-12)*a/18.
66
Suppose -20*l + 21*l - 16 = 0. Calculate the lowest common multiple of (l/(-12))/(1/(-3)) and 18.
36
Let d be ((-18)/4)/((-792)/(-5277)). Let x = d - -336/11. Let t = -245/4 + 59. Find the common denominator of x and t.
16
Let j = 38 - 33. Suppose 2*m - 3*o - 1 = -0*o, -j*m = -4*o - 13. What is the smallest common multiple of 1 and m?
5
Let m = -109273/58392 - 48/811. Find the common denominator of -73/9 and m.
72
Let v(g) = -6*g + 82. Let u be v(12). Calculate the lowest common multiple of 21 and u + ((-3)/(-1))/(-3).
63
Suppose 220 = 5*a - 50. Calculate the least common multiple of a and 69.
1242
Suppose -2*a + 50 = -7*a. Let t = a + 12. Suppose 2*o = -t + 6. What is the smallest common multiple of o and 16?
16
Let w(v) = 8*v - 6. Let c(y) = y**2 - 2*y + 2. What is the lowest common multiple of w(2) and c(2)?
10
Find the common denominator of 31*(-6)/8*5/(-80) and 41/24.
192
Let k(n) be the first derivative of n**3/3 + 10*n**2 + 39*n + 2. Calculate the lowest common multiple of 4 and k(-19).
20
Suppose 366 + 1146 = 21*n. What is the least common multiple of 72 and n?
72
Let x(c) = c**3 + 73*c**2 - 737*c + 3. Calculate the smallest common multiple of x(9) and (0 - 2)*(-9)/2.
36
Let p = 1003/26 + -105/13. What is the common denominator of -4 + (3564/(-40))/11 and p?
10
Let v be (-8)/(-60) + (-10)/75. Let q be -5 + (v - -4) - -1. Suppose 4*o + 27 - 107 = q. Calculate the lowest common multiple of 2 and o.
20
Let k be (-6)/14 - (-189136)/(-140). Let n = 915266 + -18332299/20. Let s = k - n. Calculate the common denominator of s and -47/4.
20
Let o = -22 - -9. Let k(l) = -l**3 + 9*l**2 - 5*l - 10. Let x be k(8). Let d = o + x. Calculate the smallest common multiple of 7 and d.
7
Let s be (-54)/3 + 5 - 3*-1. Suppose 148 = 4*o - 4*a, 0*o + 2*o - 62 = -a. Find the common denominator of o and -2 - -6 - 18/s.
5
Suppose -5*n + 3 = -2*r, -5*n + r + 7 = -2*r. Let j be n/(((-3)/(-6))/(-1)). Let f = j + 6. Calculate the lowest common multiple of f and 11.
88
Let l(c) be the second derivative of -c**3/2 + 17*c**2/2 - 10*c. Let x be l(-9). Suppose x = -0*b + 2*b. Calculate the least common multiple of 12 and b.
132
Let c = 3/25322 + -302445989/177254. Let t = c + 1709. Let g = 1399 + -15340/11. Calculate the common denominator of g and t.
77
Suppose -2*p - 168 + 20 = 0. What is the common denominator of 5/12 and p/55*5/3?
132
Suppose 5*p + 5*i - 4*i = -68, 2*p + 3*i = -35. Find the common denominator of p and 6/(-15) - (-241)/40.
8
Suppose 0 = -4*x - x + 5. Let i(d) = 2*d**3 - d + 1. Let r be i(x). Suppose 0 = l - r - 3. Calculate the least common multiple of 10 and l.
10
Suppose 44*h = 46*h - 44. Calculate the lowest common multiple of h and 80.
880
Let r(w) = -w**3 - 4*w**2 - 7*w. Let c be r(-4). What is the least common multiple of 16 - c/4 - (2 - 0) and 5?
35
Let q = 9413 - 5893. Let b = 14175/4 - q. Calculate the common denominator of -1 + 1 - (-260)/16 and b.
4
Let k be ((-266)/(-41))/(13 - 12). Let l = -1408988 - -519915941/369. Let x = l + k. Calculate the common denominator of -77/8 and x.
72
Suppose 0 = 43*b - 284 - 146. Let t(f) = -f - 4. Let i be t(-7). Suppose -i*m = m - 4*w - 36, -3*m - 4*w = -34. What is the smallest common multiple of b and m?
10
Let j(q) = -66*q + 218. Calculate the lowest common multiple of 10 and j(3).
20
Let f be ((-66)/(-5))/(33/110). Suppose -6*b + f + 16 = 0. Calculate the least common multiple of b and 3.
30
Suppose 182 = -5*q - 43. Let u be (-2289)/q - (-8)/60. What is the common denominator of 23/22 and (-9)/(-6) + u/(-9)?
66
Calculate the common denominator of (-3)/(-56)*3080/(-2160) and -71/6.
144
Calculate the common denominator of 69/2 and ((-3)/78)/((-48)/(-3312)).
26
Let r = 162179/2815559019 + 4999312431141777068/104175683703. Let c = -47989246 + r. Let y = c - -2/777. Calculate the common denominator of -49/19 and y.
171
Let s = 1/4637 + 347767/37096. Find the common denominator of s and (-1585)/200 + 4/(-20).
8
Let k = -38766 - -1550559/40. Find the common denominator of k and -27/40.
40
Let l be (-20 - (-1 - -1))/(2 - 1). What is the common denominator of l/(-22) - (-11 + 9) and -35/4?
44
Let t = -389978/35 + 11143. Find the common denominator of t and -53/42.
210
Let x(r) = 69*r + 9. Let w be x(5). Let c = 1/150965 - 378771192/1056755. Let u = c + w. Calculate the common denominator of u and -47/9.
63
Let t = -10/339 + -34099/4746. Calculate the common denominator of t and 49/2.
14
Let a = 130294432/621 + -209814. What is the common denominator of a and -53/115?
3105
Suppose 2*u + 101 = 4*u - 5*g, -2*g = -2*u + 86. Calculate the least common multiple of 12 and u.
