
What is the lowest common multiple of 9 and (2/20)/((-2)/36)*-5?
9
Let o = -70657/23870 - -6/1085. Find the common denominator of o and -31/4.
44
Let b(z) = 2*z - 1. Let j be b(5). Suppose 4*p - j - 35 = 3*u, 2*u - 8 = -2*p. Calculate the lowest common multiple of 10 and p.
40
Let d be ((-2)/(-6))/((-1)/(-33)). What is the common denominator of (-1)/(-2) - (-47)/d and -35/2?
22
Let o(a) = -3*a**2 - 22*a + 2. What is the lowest common multiple of o(-7) and 8?
72
Let b be 6*2/4*-1. Let z = b + 1. Let h(a) = 3*a**2 + 2*a - 1. Calculate the smallest common multiple of h(z) and 3.
21
Let p = -3/304 + -13057/1520. Calculate the common denominator of -89/76 and p.
380
Let r = 198883/4 + -49444. Let d = r + -282. Find the common denominator of (-2)/(-9) + (-1090)/45 and d.
4
Let l = 29787/10 + -2971. What is the common denominator of l and 1 - -2*(-2)/(-40)?
10
Let g(b) = -b + 5. Let q be g(0). Suppose t - 32 = q*t. Let w = t - -16. What is the least common multiple of w and 2?
8
Let l = 52 - 32. Let y = -13 + l. Calculate the least common multiple of y and 4.
28
Calculate the common denominator of 15/116 and (-28)/(-2 + 4)*(-28)/(-48).
348
Let b = -125 + 139. Let i(d) = d**2 + 4*d + 2. What is the smallest common multiple of b and i(-6)?
14
Let h be 21/28 + 33/4. Suppose -2*l + 5*w + 0 + h = 0, 0 = -4*l - w + 29. What is the lowest common multiple of (-2 + 0)/2*-7 and l?
7
What is the least common multiple of 7 and (7/(3 + -2))/1?
7
Let h = 26 - 25. Calculate the lowest common multiple of 11 and h.
11
Let a be (-5482)/2*(3 + -4). Let c = a + -27323/10. Calculate the common denominator of c and 11/6.
30
Calculate the common denominator of 4/9 and -1 + (1 - 47/(-30)).
90
Suppose 0*p - p = -3*o - 29, -4*o + 68 = 4*p. Let v be -1 - ((1 - 1) + 7). What is the common denominator of 3 - (-3 + (-34)/v) and p?
4
What is the common denominator of -53/16 and -3*88/(-408)*13/6?
816
Let z be -4 + 4 - (-4 - 0). Suppose z*r = 8 + 4. Suppose 0 = a - r*a + 18. What is the lowest common multiple of a and 1?
9
Suppose 4 = -5*g + g. Find the common denominator of 151/6 and (-91)/(-6) - (g - 0).
6
Suppose 0*r - 20 = -r. Let a(m) = 5*m + 1. Calculate the least common multiple of a(3) and r.
80
Suppose -164 - 232 = -9*m. Calculate the least common multiple of 32 and m.
352
Let u = -9/44 - 1019/396. Find the common denominator of -45/2 and u.
18
Let y(l) = 6*l. Suppose 0 = -2*q - 2, 3*i - 3*q = -19 + 82. What is the least common multiple of i and y(2)?
60
Suppose -2*l - 78 = l. Let b = 38 + l. Suppose 25 = 3*h - 5. What is the lowest common multiple of h and b?
60
Let i be ((-27)/(-1))/(-5 - -754). Let o = -79239/16478 + i. Find the common denominator of 81/22 and o.
22
Let v be 2*11/2 + -3. Calculate the lowest common multiple of v + (3 + -7)/2 and 2.
6
Calculate the common denominator of 91/12 and (27/126)/(18/707).
12
Let k = 5 - -4. What is the least common multiple of 11 and k?
99
Let y be (72/27)/(4/1194). Let t = -4793/6 + y. Calculate the common denominator of 59/16 and t.
48
Suppose 3*p + 0*p - 6 = 0. Suppose y + 3 = -0*i - 3*i, p*y - i - 8 = 0. Calculate the common denominator of 34*(-1)/(y*-1) and -59/3.
3
Let a = -18 - -26. Calculate the lowest common multiple of a and 1.
8
Let x = 38625/11 + -14039/4. Calculate the common denominator of -103/14 and x.
308
Suppose 3*d - 12 = 0, -4*r + r + 2032 = d. Calculate the common denominator of r/400 + (-6)/(-8) and -33/2.
50
Suppose -4*p - 24276 = 17568. Let d = p - -146543/14. Calculate the common denominator of d and 151/6.
42
Let j = 1538506817/756242740 - -274/276001. Let u = -2/137 - j. Find the common denominator of u and 111/22.
220
Let m(f) = f**2 - f. Calculate the least common multiple of 4 and m(-4).
20
Let k(f) = -f**3 + 7*f**2 - 5*f - 5. Let n = 3 - -2. Calculate the lowest common multiple of k(n) and 3/(9/(-6)) + 12.
20
Let g be 0/2 - (-6)/8852. Let h = g + -63081/15491. Let d = -1495 - -29779/20. What is the common denominator of d and h?
140
Let g(t) = -t**2 - 11*t - 6. What is the smallest common multiple of 16 and g(-4)?
176
Let s be (186/(-8))/((-3)/(-24)). Let y = 545/3 + s. What is the common denominator of -47*(2/6 - 0) and y?
3
Let q = 3 - -1. Let z be 18/8 + 2/(-8). Suppose z*h = 8 + 20. What is the least common multiple of q and h?
28
Let b(m) = -m + 16. Calculate the smallest common multiple of 4 and b(14).
4
Let h = 419 + -925/2. Find the common denominator of h and -51/4.
4
Suppose 0 = -0*l + 3*l + 120. Calculate the common denominator of (-41 + 0)*(-12)/l and -59/10.
10
Let g(y) = y**2 + 5*y + 6. Let m(i) be the third derivative of i**4/12 + i**3/6 + 2*i**2. Let x be m(-4). Calculate the lowest common multiple of 14 and g(x).
140
Let q = -28 - -43. Suppose j + 5*a = 5, 2*j + j - 2*a = q. What is the smallest common multiple of 3 - (-2 + 1 - -1) and j?
15
Let m = 24 - 4. Suppose 100 = -0*n + 5*n. What is the lowest common multiple of m and n?
20
Let q be (-373)/2*3*26. Let i = -203761/14 - q. Calculate the common denominator of (-1)/(-2) + (-175)/60 and i.
84
Let c = 1 + -1. Suppose -3*b = u - 12, 2*b - 3*u + c = 8. Calculate the least common multiple of 8 and b.
8
Let g(o) = -2*o - 2. Calculate the least common multiple of g(-5) and 18.
72
Let k = 83/77 - -40/11. Suppose -2*n - 4 = -2. Calculate the common denominator of (n/(-3))/((-14)/(-318)) and k.
7
Let a(g) be the first derivative of -g**4/4 + g**3/3 + g**2/2 + 10. Let n = -2 - -1. Calculate the smallest common multiple of a(n) and 7.
7
Let v = 2370/7 + -42359/126. Find the common denominator of -101/28 and v.
252
Let k be 1 + 31 + 2 + -2. Suppose 0 = o - 3*o + k. Let u = -61 + 67. Calculate the least common multiple of u and o.
48
Let d(x) = x - 18. Calculate the common denominator of ((-6)/4)/((-9)/(-76)) and d(0).
3
Suppose 0 = a + a + 6. What is the common denominator of (-2)/a*(-15)/8 and (-3)/((-30)/(-4))*28?
20
Suppose 4*g = -5*s - 5, -3*g + s - 5 = -6. Suppose g*q + 20 = 5*q. What is the least common multiple of q and 2*1 + 0 + 1?
12
Let m be 2/(-7) + 43029/(-49). Let g = m + 877. Calculate the common denominator of 31/11 and g.
77
Let h = -1894/3 - -1289/2. What is the common denominator of h and -9/5?
30
Let l(q) = -q - 2. Let i be l(-3). Suppose -m + y = 2*y - 3, -3*m - 4*y + 12 = 0. Find the common denominator of 61/10 and m + i + 260/(-28).
70
Suppose j = -0*j + 22. What is the lowest common multiple of 15/(-6)*-6 - 1 and j?
154
Let g be 10/35 - (-33)/7. Suppose 41 = y + 5*n, -n = y - g*n + 4. Suppose 0 = 4*v - 12 - 28. What is the lowest common multiple of y and v?
80
Let q = -1 - -5. Suppose -q*i - v = 3*v - 68, 3*i - 11 = 5*v. What is the smallest common multiple of i and 12?
12
What is the common denominator of ((-207)/30)/(24/(-10)) and 61/22?
88
Suppose -6 = 4*f - 5*f. Let n(i) = 4*i - 2. What is the smallest common multiple of n(3) and f?
30
Let l(y) = 5*y + 7. Let t(u) = 14*u + 21. Let p(q) = -11*l(q) + 4*t(q). Let m be p(-5). Calculate the common denominator of (-13)/11 + m*1 and -17/3.
33
Let q(o) = -o**2 - 9*o - 8. Let a be q(-7). What is the common denominator of 124/a + 2/(-4) and -59/9?
18
Let q(y) be the second derivative of 0 + 0*y**3 + 2*y**2 - 1/12*y**4 + 3*y. Calculate the lowest common multiple of 7 and q(0).
28
What is the common denominator of (-168)/54 + (5 - 1) and 89/4?
36
Suppose 2*r + 1 - 19 = 0. What is the least common multiple of r and 1?
9
Let v(l) = l**2 + l + 5. What is the lowest common multiple of v(0) and 4?
20
Let b be 1 + (-18418)/1552*-1. Let r be 8/12 - 820/582. Let m = r + b. What is the common denominator of 26/3 and m?
24
Suppose -i = -4*i - 5*c + 3, 24 = 5*i + 2*c. What is the least common multiple of i and 12?
12
Let n = -1/1813 - -96095/10878. What is the common denominator of -13/8 and n?
24
Let a = -5 - -5. Let q = -16/243 - 6401/2430. What is the common denominator of a + -1 + (-14)/8 and q?
20
Suppose g + 7 = -x + 4*x, 10 = -g + 4*x. Let k(u) = u**3 + 6*u**2 - 4*u - 2. What is the least common multiple of g and k(-6)?
22
Let r = 9 + -17. Let j be (2 + 3 + r)*58. Calculate the common denominator of -1/6 and -3 - j/40*2.
30
Let g = -5175 + 72419/14. What is the common denominator of g and (-225)/40 - -1 - 4/16?
56
Suppose -163 = -3*a + c, 34 = -a - c + 87. Let s = -94/5 - 