
1200
Let q(p) = 372*p + 1. Let t be q(3). Let a = -11207/10 + t. Let i = -178 + 1619/9. Calculate the common denominator of a and i.
90
Find the common denominator of 604/126 + (-14)/63 and 34/19.
133
Suppose 0 = 5*i - o + 93, -3*o + 42 = -2*i - o. Suppose -3*r = 2*g - 0*g - 30, 4*r - 61 = -5*g. What is the smallest common multiple of i/45 - (-12)/5 and g?
18
Suppose 2*u - 5 = -3*x, -2*u + 3*x - 6 = -5*u. Calculate the lowest common multiple of u and 8.
8
Let v = 4294/11 + -17117/44. Find the common denominator of v and -19/16.
176
Let b = -10/193 - 2705/3667. Find the common denominator of b and 22/9.
171
Let v = 1503 - 5457. Calculate the common denominator of -89/6 and (-4)/10 - v/360.
12
Suppose d + 3*d = -16. Find the common denominator of (d/(-10))/((-72)/(-1210)) and 83/4.
36
Let z(w) = 2*w**2 - 5*w - 4. What is the least common multiple of z(4) and (-1 + 1 + 6)/1?
24
Suppose -7*y = -4*y - 2*t - 51, -2*y + 2*t = -36. Let i = -9 - -17. Calculate the smallest common multiple of y and i.
120
Let u = -4 - -10. Suppose 4*o - 2*o + 40 = 2*b, 25 = 5*b. Let s = o + 21. Calculate the least common multiple of u and s.
6
Let h = -76 + 94. Suppose 22 = m + 2. Calculate the smallest common multiple of h and m.
180
Calculate the least common multiple of 8*1 + -17 + 18 and 57.
171
What is the common denominator of (-3 + 57/6)*-7 and 1010/(-160)*1/(-1)?
16
Let q = 2796 + -16831/6. Calculate the common denominator of 85/16 and q.
48
Let n(y) = y**2 - 3*y + 2. Let x be n(5). Let w(t) = t**2 + 6*t + 1. Let f be w(-5). Let z = x - f. Calculate the smallest common multiple of 22 and z.
176
Let p(a) = 4*a**2 + a - 1. Let l be p(1). Let g(s) = s**2 + 3*s + 6. Let f be g(-3). Suppose f*w - l*w = 28. Calculate the smallest common multiple of 2 and w.
14
Let z = 0 + 2. Suppose 0 = 3*f + z*f - 5. Calculate the common denominator of 1*-19 + f - 0 and -59/5.
5
Let s = 3694/695 - 16/139. Let w = 2852875340243/235772796360 - -161/25966167. Let r = 1/9080 - w. Calculate the common denominator of r and s.
10
Let k = 154/89 + 1897/1424. Calculate the common denominator of -57/4 and k.
16
Let l(f) = -f**3 - 6*f**2 + f + 6. Let n be l(-6). Suppose 18 = -n*w + 3*w. What is the smallest common multiple of 18 and w?
18
Let b = -15378 - -615167/40. What is the common denominator of b and 3*(0 + 10/132)?
440
Let u be (3/(-714))/(4/16076). Let y = u + 383/17. Calculate the common denominator of y and 93/8.
56
Calculate the common denominator of 71/36 and ((-172)/30 - (-18)/45) + 2.
36
Suppose 2 + 1 = -3*c, 3*c + 35 = 2*x. Suppose 4*w = -20, 0 = 3*u - 5*w - 22 - 15. What is the least common multiple of u and x?
16
Let m = 2239/22 - 101. Calculate the common denominator of (-423)/30 - (-5 + 3 + 0) and m.
110
Suppose 2*u - 227 = -2*u - m, 2*u = -m + 115. Find the common denominator of -75/14 and (-2)/7 + (-1342)/u.
28
Let f(r) = -2*r**2 - 11*r + 7. What is the lowest common multiple of 5 and f(-5)?
60
Suppose -225 = 3*z + 3*n, z + 3*n + 10 = -63. Calculate the common denominator of 5/(70/z) - -2 and ((-3)/(-30))/((-4)/(-950)).
28
Let m = -4501 - -63041/14. Let p = 187/21 + m. What is the common denominator of -19 and p?
6
Let l(g) = 10 + 8*g**2 - g**3 + 0*g - 8*g + 0*g**3. Let c be l(7). Suppose 27 = 5*n + k - 29, -c*n + k = -32. Calculate the least common multiple of 1 and n.
11
Calculate the common denominator of 201/(-180) + 3/(-9) and -47/18.
180
Suppose -81 - 29 = -10*q. Calculate the least common multiple of q and 33.
33
Let c(a) be the third derivative of 0 - 1/3*a**3 + 4*a**2 + 0*a + 1/15*a**5 + 1/8*a**4. What is the least common multiple of 14 and c(2)?
140
Let q(j) = 5*j + 1. Calculate the smallest common multiple of q(1) and 11.
66
Let p be 2*(-1 + (-13)/4). Let h = 7/8 + p. Let m = -16/9 + 67/36. What is the common denominator of h and m?
24
Let l = -3207/2 - -1649. Find the common denominator of l and 62/5.
10
Let j = 120/7 - 191/14. Find the common denominator of 5 + (2 - (-654)/(-72)) and j.
12
Let a = 76 + -46. Calculate the smallest common multiple of a and 14.
210
Let c(g) = g**3 + 7*g**2 + g + 3. Let i be c(-7). Suppose -l + 0*l + 27 = 5*p, p + 2*l = 9. What is the smallest common multiple of i/(-12)*3/1 and p?
5
Let j = 12161/293 + -3/586. Find the common denominator of j and -85/16.
16
Let f(l) = 12*l - 1. Let h be f(-2). Let w = -22 - h. What is the least common multiple of 2 and w?
6
Let g = 2429/82 + -5/41. Find the common denominator of 133/6 and g.
6
Suppose -2*i - 4*s - 15 + 43 = 0, -48 = -5*i + s. Calculate the least common multiple of i and 15.
30
Suppose 233 - 43 = -5*l. Find the common denominator of 29/6 and 0 + 1/l - -2.
114
Let n(v) = 7*v**2 - v - 1. Let l be (-13029)/(-17340) - 3/4. Let x = 93931/4335 - l. What is the common denominator of x and n(2)?
3
Let r be (6/4)/((-3)/(-396)). Calculate the common denominator of -81/10 and ((-258)/(-8))/(r/12).
110
Let b(n) = -n - 3*n + 2*n. What is the smallest common multiple of b(-3) and (-26)/(-4) + 4/(-8)?
6
Suppose -3*p - 2 - 19 = 0. Let i = 10 + p. What is the least common multiple of i and 4?
12
Suppose -g - 4*i - 15 = 0, g - 4*g = i - 10. What is the smallest common multiple of g and 2?
10
Let o = -1577/10 + 3073/20. Find the common denominator of o and -47*(3 - (-26)/(-8)).
20
Let v be 91*(-3 - 4/2). Let j = v - -1723/4. Calculate the common denominator of j and -47/6.
12
Let i = -3/54139 - -456337685/974502. Let z = i + -468. Calculate the common denominator of (-49)/10 + (2 - 2) and z.
90
Let k be ((-1)/(-10))/(8/679748). Let z = -8491 + k. What is the common denominator of (-687)/90 + 1/3 and z?
20
Let h(m) = 2*m**2 + 2*m - 1. Suppose -4*g + g = 6. Calculate the smallest common multiple of h(-2) and g*(6/(-4) + 1).
3
Let w = -12 - 0. Let r = w - -17. What is the least common multiple of r and -1*1*(-4 - -3)?
5
Suppose -4*h + q + 6 + 13 = 0, -37 = -2*h - 5*q. Calculate the lowest common multiple of 8 and h.
24
Suppose -2*g + 4 = -g. Let y(k) = -5*k - 8. Calculate the least common multiple of y(-6) and g.
44
Calculate the common denominator of 13/21 and 0 - (4 - (-38)/(-3)).
21
Let m = 23114/10329 + -27/313. Calculate the common denominator of m and 25/3.
33
Find the common denominator of -29/6 and ((-2)/10)/((-12)/172).
30
Let a = -269/7 + 380/21. What is the common denominator of a and 99/8?
24
Suppose -2*x = 5*q - 34, 2*q + x - 10 = 3. Suppose 4*f - 3*w - 19 = 0, -5*f + 10 = -w - 11. Calculate the smallest common multiple of f and q.
8
Let i = 35487/10 - 3543. Find the common denominator of 89/22 and i.
110
Let x = 472833 - -554696. Let q = x - 4091615875/3982. Let l = -20/181 + q. Calculate the common denominator of l and 127/6.
66
Let s = -1465 - -432. Let j = s + 4185/4. What is the common denominator of -22/13 and j?
52
Calculate the smallest common multiple of 22 and 10/(((-3)/(-6))/(3/12)).
110
Let r = -311/704 + 5/64. Calculate the common denominator of r and 0 - (-8)/3*-2.
33
Suppose -t + 6 = 2. Calculate the least common multiple of t and 12.
12
Let x(n) = -n**2 + 5*n + 8. Let z be x(7). Let s be 1*(-2)/1 + z. Find the common denominator of (-93)/s*(1 + -3) and 91/10.
20
Suppose -4*n = -4*q - 2*n + 76, -5*q = -3*n - 97. Suppose 4*h - o - q = 3, h - 24 = 5*o. Let d(y) = -22*y**3. What is the least common multiple of d(-1) and h?
44
Let l = -18/29 + 982/87. Let c = -7137/8 + 885. Calculate the common denominator of c and l.
24
Suppose -3*o + 4*n + 8 = 0, -12 = -4*o + 4*n - 0. Calculate the lowest common multiple of 1 and o.
4
Let w(u) = -22*u**3 + u**2 - 1. Suppose t + 2*j + 2 = 0, -2*j + 3*j = 2*t - 6. Calculate the smallest common multiple of w(-1) and t.
22
Let u = 127/8 + -489/40. Find the common denominator of u and -123/20.
20
Let t = -4/1387 - 131693/24966. Let l = 26/123 - -593/492. What is the common denominator of l and t?
36
Let r = -2 - -23. Suppose 3*f - 15 = 8*f, 0 = -3*v + 2*f + r. Calculate the least common multiple of v and 3 + (0 - 1)*2.
5
Let n(q) = -2*q**3 - 9*q**2 + 13*q + 10. What is the lowest common multiple of n(-6) and 12?
120
Suppose -2*m + 3*m = -2*z + 36, 5*z = 5*m - 195. Let s = m + -26. Let l(r) = 7*r + 1. What is the smallest common multiple of s and l(1)?
24
Let s = 941 + -5785/6. Calculate the common denominator of (-12)/16*(-13)/9 and s.
12
Suppo