
Suppose 0 = 3*a - 0*a - 30. Calculate the least common multiple of a and 1.
10
Suppose 13*t - 34 = 11*t. What is the smallest common multiple of 5 and t?
85
Let g(j) = -j**3 - 2*j**2 + 4*j + 2. What is the smallest common multiple of 8 and g(-4)?
72
Let z(i) = i**3 - 11*i**2 - 13*i + 15. Let y = 33 + -21. Let l be z(y). What is the smallest common multiple of 10 and l*(-69)/(-9) - 1?
110
Let m = -176 - -56. What is the smallest common multiple of 6 and (4/6)/((-16)/m)?
30
What is the common denominator of ((-7)/448)/((-2)/(-284)) and -9/22?
352
Let p = 1/6524 + 171253/13048. Let k = p - 19/4. Calculate the common denominator of -35 and k.
8
Let f = 29/2 + -15. Calculate the common denominator of 23/20 and f.
20
Let p(w) = -50*w**2 + 3*w - 1. Let t be 6*(3/3)/3. Let y be p(t). Calculate the lowest common multiple of (-1)/(-3) + y/(-9) and 20.
220
Suppose -57 = -2*c - 17. What is the lowest common multiple of -2 - (-2 - 1*22) and c?
220
Suppose 5*r = -a + 105, -10 = 11*a - 9*a. Calculate the smallest common multiple of r and 32/(-2)*(-2 + 1).
176
Let o be (-405)/(-21) + (-8)/28. Let b = -7 + o. What is the smallest common multiple of 10 and b?
60
Let a = 7 + -7. Let n be ((a - 1) + 0)*-11. Let q = 13 - n. What is the lowest common multiple of 18 and q?
18
What is the common denominator of -65/118 and (-3)/5 + 227/(-80)?
944
Let y be (292/191860)/((-2)/15901). Let g = -2/9593 - y. What is the common denominator of (-15)/10 + (-8)/(-11) and g?
110
Let x = 5 + 2. Suppose 0 = -j - k + 19 + 17, j + 3*k = 36. Suppose 4*d - j = -0*d. Calculate the lowest common multiple of x and d.
63
Let n = 21 - 12. Suppose 3*d + 2 = 8. Calculate the least common multiple of n and d.
18
What is the common denominator of 41/36 and (266/(-216) + 1)*(-294)/(-105)?
108
Let t = 1852963 + -11084761/6. Let f = 5490 - t. What is the common denominator of f and 177/54 - 1/2?
18
Suppose -l = -2 - 4. Let z = l + 10. What is the lowest common multiple of z and (-8)/6*(-285)/19?
80
Let f = -15727040550289/12280 + 1280703630. Let u = -2/1535 + f. Calculate the common denominator of u and -19/6.
24
Let m(g) = g**2 - 2*g + 3. Suppose 4*b - 40 = -16. What is the least common multiple of b and m(5)?
18
Let y(n) = -n**3 + 4*n**2 + 5*n + 4. Let j be y(5). Suppose -s = 5*c - 72, -2*c - 245 = -5*s - j*c. Find the common denominator of -87/10 and s.
10
Let w = 583394041781/1956 + -298258721. Let q be 1/3 - (-962)/(-978). Let u = w + q. Find the common denominator of -43/8 and u.
24
Let f = 58651/2 - 31244. Let r = f - -1965. What is the common denominator of r and 65/2?
2
Suppose 2*l + 3056 = -2*l. Calculate the common denominator of -61/9 and 1/(-5) - l/(-180).
9
Let t = 205 + -2459/12. Calculate the common denominator of -85/24 and t.
24
Let k = 909 - 2761/3. What is the common denominator of -41/6 and k?
6
Calculate the common denominator of (-32)/(-14) + 2 - -1 and 904/8*1/(-10).
70
Let m = -42 + 92. Suppose 5*y + m = 5*c, -y + 2*y = 3*c - 38. What is the least common multiple of c and 20?
140
Let f = 132 - 82. Calculate the least common multiple of f and 15.
150
Let x be (-2)/9 - 21/27. Find the common denominator of x + 1*37/(-8) and -17/10.
40
Let k be ((-393)/(-12))/(10/(-4)). Let o = -13/5 - k. Calculate the common denominator of -19/4 and o.
4
Let m = 8 - 5. Suppose -3*j - 12 = -2*v - 4*j, 5*v - 19 = 3*j. Suppose -25 = -v*s + 25. Calculate the lowest common multiple of m and s.
30
Let c be (8/6)/((-2)/(-6)). Let h = 12 - c. What is the lowest common multiple of (-19)/(-3) + 1/(-3) and h?
24
Let i = -2 - -4. Suppose -6 = -3*x - 0. Calculate the smallest common multiple of (i/4)/((-1)/(-20)) and x.
10
Let k be (-1 - -2)*(-2)/(-2). What is the lowest common multiple of (-1)/(k + -2)*4 and 10?
20
Let j = -4380 + 78697/18. Let b = -5161/116 - 1/116. Find the common denominator of j and b.
18
Let k = -48209/5 - -3039142/315. Let g = k + 4/63. Calculate the common denominator of (-1)/4 - 183/12 and g.
6
Find the common denominator of (-1*18 - 5)/(-3) and 8/11.
33
Let j(y) = y**3 + 5*y**2 - 5*y + 4. Let b be j(-6). Calculate the least common multiple of 10 and (-54)/(-7) - b/7.
40
Let s(z) = -3*z**3 + 4*z**2 - 4*z - 9. Let h(k) = k**3 - k**2 + 1. Let p(u) = 2*h(u) + s(u). Calculate the least common multiple of 18 and p(-3).
450
Let x(f) = 11*f**2 - 27*f**2 - 7*f - 16 + 3*f**2 + 12*f**2. Calculate the common denominator of 45/2 and x(-7).
2
What is the least common multiple of 250 and (-5)/1*(3 - 5)?
250
Let v = -1866 + 13114/7. Find the common denominator of -15 and v.
7
Suppose 4*v = 2*w + 70, -3*v + 3*w = w - 54. Calculate the lowest common multiple of 22 and v.
176
Let r be (-12)/(4/2)*-1. Suppose r*k - k = -675. Calculate the common denominator of -23/6 and k/(-4)*(-4)/10.
6
Calculate the lowest common multiple of 8 and 45/(-10)*4/(-9).
8
Calculate the least common multiple of (-1 - 25/(-15))*6 and 10.
20
Let a = 3 + 0. Find the common denominator of ((-19)/a)/(10/(-12)) and 36/5.
5
Let l(r) = -538*r + 5. Let g be l(-5). Let q = 8153/3 - g. Calculate the common denominator of 2/3 and q.
3
What is the common denominator of -97/10 and -2 + 2 + (-78)/(-8)?
20
Suppose 18 = 3*t - 3*s, 0 = 4*t - 2*s - 16. What is the least common multiple of 4 and t?
4
Calculate the smallest common multiple of 2 and ((-6)/(-8))/((-140)/(-32) - 4).
2
Let l = 22 + -14. Calculate the lowest common multiple of l and 4.
8
Let o(z) = 3 + z**3 - 7*z - z + 0 + 5*z**2. Let l be o(-7). Calculate the common denominator of -47/11 and (-2)/6*l/10.
110
Let w = -8489/840 + -2/105. What is the common denominator of w and (166/8)/(11/(-2))?
88
Let c = 32 - -9. Suppose 16 - c = -5*t. What is the lowest common multiple of t and 7?
35
Suppose 0 = 3*w + 2*w - 5*n - 15, -w + 7 = -5*n. Find the common denominator of (-2)/(120/(-33))*w and 53/10.
10
Suppose -16 = -4*p + 2*p. Suppose -3*m + p = m. Suppose -3*w = 5*l - 14, 4*l + 4*w + w = 6. Calculate the smallest common multiple of m and l.
4
Let v = -143 + 2. Let o be 2/(-4) + (-4369)/v. Let q = o + 2/141. Calculate the common denominator of 14/3 and q.
6
Let h = 8 - 6. Suppose o - 16 = -4*u, 3*o = -h*u + 20 + 8. What is the lowest common multiple of o and 4?
8
Let f = -1858 + 76. Let n = f + 21335/12. Let o = -9833/144 - -578/9. Find the common denominator of n and o.
48
Suppose 21 - 3 = 4*g + 2*i, 0 = 4*g + i - 15. Suppose -3*o + 5*d + 30 = 4, 20 = 4*o - g*d. What is the least common multiple of 10 and o?
10
Calculate the least common multiple of 9 and (120/(-25))/((-1)/5).
72
Let k be (9/39)/(6/1996). Let j = -11111/130 + k. Find the common denominator of 40/7 and j.
70
Suppose -10 = n + 2*s + 6, -5*n - 2*s - 48 = 0. Let z = n + 12. What is the least common multiple of z and 2?
4
Let y = 4449794/41 + -108525. Let k = -133837/123 - y. Let z = -33059/30 - k. What is the common denominator of -34 and z?
10
Let k be 3/3 + (-18297)/8. Suppose x - w = 4*w + 2294, -4*x + 9158 = -2*w. Let f = k + x. What is the common denominator of 87/8 and f?
8
Suppose 0 = 4*q - 2*k - 12, 2*q + k = -k. Suppose 15 = 4*d + j, -q*j + 3 = 2*d - 3. Calculate the least common multiple of 6 and (-20 + 2)*d/(-6).
12
Suppose -5*k + 21 = -2*k. Suppose -3*z + z = 14. Let j = 0 - z. What is the lowest common multiple of k and j?
7
Suppose -f + 0*u = u - 3, -f - 17 = 5*u. Calculate the smallest common multiple of 86 and f.
344
Let p(c) = c + 6. Calculate the lowest common multiple of p(-5) and 4.
4
Let z be ((0 - -1) + -2)*-11. Let p = z + 7. Calculate the least common multiple of p and 2.
18
Let h be (-5447)/(-3069) - (-1)/(-1). Let i = h + 1/341. What is the common denominator of i and -7/11?
99
Suppose 1 + 0 = -w. Let l(y) = 10*y**2 - y. Let u = 25 - 17. What is the lowest common multiple of l(w) and u?
88
Calculate the smallest common multiple of (-175)/(-15) - (-1)/3 and 22.
132
What is the smallest common multiple of 1 + 15 - (-6 + 4) and 6?
18
Let n = 3 + 3. What is the lowest common multiple of 6 and n?
6
Calculate the lowest common multiple of (207/115)/((-6)/(-20)) and 40.
120
Let x(k) = k**2 - 6*k - 9. Let j be x(7). What is the common denominator of (-3)/4 - (j + 1) and (62/(-10))/((-4)/(-6))?
20
Let c(n) = -12*n + 5*n**2 - 6*n**2 - 8 - 7. Let u be c(-11). Calculate the common denominator of 13