50 = 5*c - 6*p, -5*p - 444 = -4*c. Calculate the least common multiple of 10 and c.
530
Let s = 50281/6 - 8358. Let g be (0 + (-25149)/36)*3. Let m = g - -2107. What is the common denominator of m and s?
12
Find the common denominator of 23/20 and (-1 + (-745)/(-15))/(-12).
180
Let d = -406 - -2043/5. What is the common denominator of (8/10)/(9/(-150)) and d?
15
Let d(t) = t**2 - 2*t + 5. What is the least common multiple of 34 and d(-3)?
340
Let b = 113 + -69. What is the least common multiple of (b/6)/(4/6) and 11?
11
Suppose 6*l + 113 = 5*s + 3*l, -4*l = -4*s + 84. Calculate the smallest common multiple of 14 and (-3)/5 - (-215)/s.
56
Let p = -6 + 10. Let g(s) = s**2 - 8*s - 13. Calculate the least common multiple of g(-3) and p.
20
Let u = -395269/18 - -21952. What is the common denominator of (2/(-20))/(4/134) and u?
180
Let a be (-5)/10 - 9/2. Let h(j) = j**3 + 7*j**2 + j - 5. Let s be h(a). Suppose s = -y + 5*y. What is the lowest common multiple of y and 20?
20
What is the common denominator of 24/32*-1 - 222/40 and -57/268?
1340
Let r = 10 + -42. Find the common denominator of r and -17/2.
2
Let m be 1 + 0 + 6 + -1. Let i = m + -3. What is the least common multiple of 39/12 + 2/(-8) and i?
3
Let p = -27 + 39. Calculate the smallest common multiple of 22 and p.
132
Let a = 690 - 2138. Let v = a - -4301/3. Find the common denominator of v and (-92)/22 + (-4)/(-2).
33
Let w be (-2)/(-10) + 1/(-5). Suppose 0 = 3*f - w*f - 18. What is the smallest common multiple of f and 16?
48
Let s be 14/35 + (-24)/10. Let k(j) = -j**2 - 4*j. Let x be k(s). Find the common denominator of (0 + -1)*(x - 3) and -41/11.
11
Let o(p) = -4*p - 17. Let g be o(-7). Let u be (-1)/(-4) + 174/8. Let l = u - g. What is the least common multiple of 7 and l?
77
Let x = 9 + -7. Suppose m = x*l - 2, -3 = m - 3*l + 1. What is the smallest common multiple of (-3 - (2 - 3)) + 5 and m?
6
Let q be (-22)/(-18) + (-8)/36. Calculate the least common multiple of ((-8)/(-20))/((-3)/(-75)) and (-28)/20*-5*q.
70
Suppose -3*q + 34 = 2*x, -3*x = -2*q + 4*q - 31. Let v(c) = 14*c - 2. Calculate the smallest common multiple of q and v(1).
24
Suppose 2*v + 0*v = 54. Suppose 0*t = 2*t - i - v, -i = 5*t - 71. Calculate the smallest common multiple of t and 6.
42
Suppose -192 = -4*b + 5*p, 3*b + p - 144 = 6*p. Let y = -34 + b. Calculate the lowest common multiple of 10 and y.
70
Suppose 6*g - 50 = g. Suppose 24 = 5*i - 76. What is the lowest common multiple of g and i?
20
Suppose a + 2*f = 15, -2*a + 7*f - 3*f + 14 = 0. What is the smallest common multiple of 1 and a?
11
Suppose 2*r = -3*r + 3*b + 15, 4*r + 3*b = 12. Let j(y) = -1 - 3 - 6*y + y**2 + 3. What is the least common multiple of r and j(7)?
6
Calculate the common denominator of ((-143)/(-6) - -1)/1 and 57/(-6) - 2 - -4.
6
Let q = 8290 - 149293/18. Find the common denominator of q and 115/14.
126
Suppose 5 = -3*l - 13. Let o = -3283 - -13209/4. Find the common denominator of (-111)/l*1/(-3) and o.
12
Calculate the smallest common multiple of 3 and 5/(100/(-56))*-5.
42
Let d(q) = -3*q - 3 - 3*q**2 - 7*q + 0*q + 2*q**2. What is the lowest common multiple of d(-5) and 22?
22
Find the common denominator of -70/33 and 29/(-232)*(-10)/(-3).
132
Let d = 60 - 58. Calculate the smallest common multiple of 0 + (-2 - -3)*18 and d.
18
Let c = 2 + 1. Suppose 4 = -4*j + 2*j + 5*k, -4*j - c*k + 44 = 0. Calculate the smallest common multiple of j and 9.
72
Let r = 27791/16 - 1736. Find the common denominator of 47/16 and r.
16
Suppose -5*j - 232 = -47. Let d = j - -8. Let x = d + 40. Calculate the common denominator of -49/4 and x.
4
Suppose 15*b - 21*b + 162 = 0. Calculate the lowest common multiple of b and 3.
27
Find the common denominator of (-42)/16 - 2 - 0 and (-69)/18 - 2/9.
72
Suppose 150 = 6*m - m + 2*t, -t - 101 = -3*m. What is the lowest common multiple of m and 16?
32
Let u = 17 + -14. Suppose i - u*i = -6. What is the least common multiple of 7 and i?
21
Suppose -5*q = -5*r, 0 = -5*q + 4*r - r + 8. What is the smallest common multiple of 6 and ((-30)/q)/((-12)/16)?
30
Let j(g) = 7*g + 2*g + 4*g + 3 - 2*g. Let f be j(-3). What is the common denominator of -7/3 and 3/f*103 + 1?
30
Let g(k) = k**3 + 3*k**2 - 2*k - 1. Let c be g(-2). Find the common denominator of 121/6 and (278/(-14))/((-12)/c).
12
Let t = 151/16 - 15/16. Suppose 5*p + 6 = 2*p. Calculate the common denominator of p/6 + (-113)/(-24) and t.
8
Let n(o) = -o**3 - 4*o**2 + 5*o + 3. Let k(t) = -4*t**2 - t + 1. Let q be k(1). What is the common denominator of 3/7 and n(q)?
7
Let u(a) = -a**2 + 5*a - 1. Let q be u(3). Suppose -3*z = -3*h + 45, -2*h - q*z + 33 = -h. Let k = 13 + -11. What is the least common multiple of h and k?
18
Let d(f) = f**3 + f**2 - 3*f + 3. Let s(l) = -l**2 - 6*l - 6. Let c be s(-4). What is the least common multiple of d(c) and 9?
9
Let b = -3 + 5. Suppose n + 16 = b*j, -3*j + 0*n = 2*n - 10. What is the smallest common multiple of j and 6?
6
Let r = 14015419/8 - 1757351. Let s = r + 5436. Find the common denominator of s and 3/10.
40
Suppose -l + 4 = -0*l. Suppose 0 = -g - l*o + 24, -4*g + 1 = -4*o + 5. Calculate the least common multiple of 1 and g.
4
Suppose -4*g = -7*g - i + 5, -5*g - i = -9. Let h(l) = -10*l**3 + 2 - g. What is the smallest common multiple of h(-1) and 16?
80
Calculate the common denominator of 2/(-9) + 1*(-1805)/990 and 158/(-28) - (-2)/(-7).
154
Let z = -2442 - -65984/27. Calculate the common denominator of -95/12 and z.
108
Let p = -1244/171 + 59/9. What is the common denominator of p and -10/33?
627
Calculate the common denominator of 5 - ((-58)/(-18) + 5) and (0 - 1/5)*-11.
45
Suppose -4*p + 27 + 13 = 0. Let s be 3/(-15) + (-38)/p. Calculate the common denominator of ((-2)/(-18))/(s/(-402)) and 15/2.
6
Suppose 115 = 4*a + 5*m + 37, 2*m - 106 = -5*a. What is the smallest common multiple of ((-2)/1)/(1/(-4)) and a?
88
What is the common denominator of 7/27 and (-966)/(-216) - 4/(-16)?
54
Let o = -22 - -38. What is the least common multiple of 6/1 + -3 + (-3)/(-1) and o?
48
Find the common denominator of (110/(-8))/(3/4) and -23/3.
3
Find the common denominator of -31 and ((-11)/99)/((-2)/(-94)).
9
Let j = -6 - -15. Let g = 6 - -2. Calculate the lowest common multiple of g and j.
72
Let s be -2 + (-5)/((-10)/4). Suppose -2*x + s*x = -16. Let c = 12 - x. Calculate the smallest common multiple of c and 6.
12
Suppose 3*v = f + 5, f + f = -5*v + 23. Suppose 0 = -5*p + 29 - 4. Calculate the least common multiple of v and p.
15
Let l(a) = -a - 2. Let x(f) = 5*f. What is the smallest common multiple of x(2) and l(-7)?
10
What is the least common multiple of (0 + 20/(-12))*-3 and 8?
40
Let n(w) = -w**2 + 12*w - 24. Calculate the smallest common multiple of 24 and n(9).
24
Let p be (-91330)/14436 + 0/1. Let g = p - 25/401. Find the common denominator of g and 315/20*(-20)/(-66).
198
Suppose 0*g + 4*i = 3*g + 7108, 4*g = -3*i - 9519. Let u = g - -7201/3. Calculate the common denominator of 1/5 + (-379)/45 and u.
9
Let l = -12 + 20. Let b = l - 3. What is the lowest common multiple of 10 and b?
10
Let f = -18533/14 - -1319. Find the common denominator of ((-436)/20)/(12/5) and f.
84
Let c = 17 - 5. What is the smallest common multiple of c and 30?
60
Let f = 13 + -8. Let g = -10 + 10. Calculate the lowest common multiple of (9 + -5)*(f + g) and 18.
180
Let a = 4 + 4. Calculate the least common multiple of 2 - ((-1 - -3) + -2) and a.
8
What is the common denominator of ((-98)/6)/(-9 + 3) and -37/2?
18
Let k = 29 - 12. What is the smallest common multiple of 10 and k?
170
Let f = 12 + -19. Let t = f + 14. Calculate the lowest common multiple of 4 and t.
28
What is the smallest common multiple of 18 and (2 + (-2)/4)*12/2?
18
Suppose -4*i = 8, -5*q + 23 - 495 = -4*i. Calculate the least common multiple of 20 and (q/(-18))/(2/3).
40
What is the common denominator of -51/52 and 5 + (-4 - -1) - 43/16?
208
Let r(b) = b**3 - 6*b**2 + 3*b - 15. Calculate the lowest common multiple of r(6) and 1.
3
Let j = -206917/22 - -9401. Suppose -2*v + 1 - 3 = 0. Find the common denominator of 78/16 - v/2 and j.
88
Let n(p) = 10*p**3 - 8*p**2 + 2*p - 7. Let w be n(7). Let h = w - 24411/8. What is the common denominator of h and ((-45)/(-40))/((-3)/(-76))?
8
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