140
Suppose 5*f = 5*s - 10, 1 = -s - 2*f + 6. Suppose 0 - s = 3*t. Let b = t - -6. What is the lowest common multiple of 7 and b?
35
Let y be (8/12)/(4/42). Let b = y - 38. Calculate the common denominator of b and 41/4.
4
Suppose -5*o = 2*g - 22, 8 + 12 = 5*o. Let d = g - -24. What is the common denominator of d and 2/5 + 319/(-10)?
2
Let o(f) = 11*f**2 + 2*f. Let p = -6 - -4. Let g be o(p). Suppose -v - 2 = 3*j + 4, -5*v = j - g. Calculate the least common multiple of v and 11.
99
Let a be (-8)/(2 + -1)*1. Let q = 0 - a. What is the smallest common multiple of q and 10?
40
Suppose 0 = -3*x - 24 + 66. Calculate the smallest common multiple of 4 and x.
28
What is the common denominator of -1 + 226/(-44)*-1 and (-938)/(-120) - 2/5?
132
Let n = -20 - -30. Calculate the least common multiple of (-48)/(-18)*(3 - 0) and n.
40
Let f = -16 + 4. Let z = -6 - f. Calculate the least common multiple of 5 and z.
30
Let h be (-4076)/(-12) - 1/(-3). Let r = 198 - h. Find the common denominator of 20/3 and -6 + 4 + r/(-12).
6
Let r(t) = t**2 - 10*t - 16. Calculate the least common multiple of r(12) and 10.
40
Let h = -1119/8 + 149. What is the common denominator of ((-10)/440)/((-2)/(-180)) and h?
88
Suppose -2*d + 72 = -4*h, -2*d + 4*h + 174 = 3*d. Suppose -3*y = -4*k - d, k - 3*k - 32 = -4*y. Calculate the lowest common multiple of 14 and (-12)/3*(-9)/y.
42
Let a = -883/1995 - -214/285. Calculate the common denominator of -119/6 and a.
798
Let n = -3 - -19. Suppose -2*c + 0*c = -24. What is the lowest common multiple of (n/(-5))/((-9)/45) and c?
48
Suppose -3*h + 3*x = -x - 8, 5*h = x + 19. Let y be 27/((30/h)/5). Let w = y + -12. What is the lowest common multiple of w and 1?
6
Let p = -2/3571487 + -77069117953/35714870. Let x = p - -2155. Find the common denominator of x and -33/4.
20
Let z be 0 + -1 + 2 + -54. Let i = -31 - z. Suppose -3*m = -4*u + 33, m + 14 = -5*u + 79. Calculate the smallest common multiple of i and u.
132
Find the common denominator of -111/44 and (14/(-32))/(36/336).
132
Suppose 0 = -2*w - 5 + 1. Let a be ((-9)/6 - w)*6. What is the least common multiple of 20 and (-12)/((-30)/8 + a)?
80
Let g = -2 + 5. Suppose 3 - 23 = -4*i - 4*p, -2*i - 10 = -g*p. What is the least common multiple of (-3)/(-4 - (-148)/40) and i?
10
Find the common denominator of 79/42 and (-1)/3*165/(-2).
42
Let s = 61421/16 - 3840. What is the common denominator of 27/16 and s?
16
Suppose -4*a = -2*i - 22, -2*a + 13 = 2*a + i. Let n = 30 + -16. What is the lowest common multiple of n and a?
28
Suppose 0 = 5*y - 4*h + 6 + 10, -4 = -h. Suppose y = 5*f - 8*f + 45. Find the common denominator of (-68)/3 - (-5)/f and -73/9.
9
Suppose -74 = a + n, -3*a = 2*n + 184 + 36. What is the common denominator of 69/8 and -1*(-476)/a + -1?
72
What is the common denominator of ((-13)/(-4))/((-11)/6) and 245/(-36) - 1/4?
198
Suppose -2*h - 149 = 3*t, 3*h = h + 5*t - 157. Let x be h/151 + (-1)/(-2). Let q = x + -224/755. What is the common denominator of 85/8 and q?
40
Calculate the lowest common multiple of 6 and (-12)/(-8) + 1/(-2).
6
Suppose -4*c + 2 = -2*c. What is the common denominator of 41/22 and c/(-6)*(-171)/10?
220
Suppose 2*l + 5 - 21 = 0. Find the common denominator of 186/l*3/(-6) and 31/20.
40
Suppose 3*h - 280 = -2*h. Suppose -4*m + h = -2*m. Suppose -3*n + 58 + 18 = 4*p, n = 2*p - m. What is the smallest common multiple of 14 and p?
112
Let d = 6/113 + 3633/1808. Let p be ((-5498)/(-2752) - 1) + -1. Let z = p + 63987/1376. Calculate the common denominator of d and z.
16
Suppose 2*f = -2*f + 8. Suppose -2*h + 4*k = -6, -h + 2*h + f*k = 15. What is the lowest common multiple of 11 and h?
99
Let t = 3 + -1. Let s(r) = 2*r**2 + r. Let w = -2 - -3. What is the least common multiple of w and s(t)?
10
Let v = 1934/5 - 395. What is the common denominator of -22/9 and v?
45
Let q = 257/50 + -13899/350. Let c = -84879/14350 - 14/1025. Let u = c + q. What is the common denominator of 83/20 and u?
20
Calculate the least common multiple of 10 and (4 - -15) + 2/2.
20
Let t = -90059/14 + 6426. Calculate the common denominator of t and -2 + 3 + (-91)/22.
154
Let d = -89703/22 + 1192955/308. Let i = -1564/7 - d. Let f = -59785/12 + 4976. What is the common denominator of i and f?
12
Let t = 1075 - 4321/4. What is the common denominator of t and -47/2?
4
What is the common denominator of -57/14 and (-54)/(-44) + 30/10?
154
Suppose -32 = -6*j - 8. What is the smallest common multiple of j and 12?
12
Let w = -1 - -5. What is the lowest common multiple of w and 2?
4
Let m be (10077/264)/(105/(-6)). Let y = m - 1/1540. Let a = -52463/6 + 8766. What is the common denominator of a and y?
66
Let y(g) be the third derivative of g**4/24 + 3*g**3 - 4*g**2. What is the lowest common multiple of y(-8) and 16?
80
Let t(u) = 4*u**3 + 2*u**2 - u - 4. Let w be t(2). What is the common denominator of (4/16)/(2/w) and -103/10?
20
Let g = 2 - -3. Let o(t) = -4*t**3 - 6*t + 1. Let u(y) = -3*y**3 - y**2 - 5*y. Let p(j) = 4*o(j) - 5*u(j). Calculate the smallest common multiple of p(g) and 5.
45
Let f be (-4)/10*8590/(-456). Let s = 164/19 + f. Find the common denominator of s and (182/(-10))/(8/10).
12
Let f = -6 + 16. Suppose -33 + f = r. Let h = -5 - r. What is the smallest common multiple of h and 16?
144
Suppose -2*d + 7 = 2*z - z, -4*z + d = -1. Find the common denominator of 4/10 + 1 + 1 and 6/(-4)*(z - -20).
10
Let j be -1*(0 + -5) + -1. Let g = j - 0. Suppose -3*m + 8 = -2*m + 2*a, g*a - 20 = -4*m. Calculate the lowest common multiple of m and 16.
16
Let x = 12 + 8. Suppose -r + x = r. What is the smallest common multiple of 10 and r?
10
Let d = -1 - -3. Suppose -4*u - 26 + 6 = -2*o, -d = -3*o - u. Calculate the lowest common multiple of o and 8.
8
Let d = -2 - -4. Let m(z) = 4*z - 3. Let c be m(d). Let n(p) = -p**3 + 7*p**2 - 7*p + 3. What is the lowest common multiple of 4 and n(c)?
36
Let k = 12629/342 + -652/19. What is the common denominator of 127/6 and k?
18
What is the smallest common multiple of (18/(-15))/(4/(-120)) and 6?
36
Let z = 12003231/8260 - 1292/2065. Let t = 1453 - z. Let s = -278033/22 - -12635. What is the common denominator of t and s?
220
Let t(y) = 86*y**3 + 3*y**2 + 5*y - 4. Let m be t(3). Let u be m/72 + (-2)/(-9). Calculate the common denominator of (u/(-32))/((-3)/6) and 11/10.
80
Let w = -1535/438 + 1/219. Let k be ((-3)/35)/((-8)/110). Let n = k - -129/140. Calculate the common denominator of n and w.
10
Suppose 2*t = 4*k + 28, -k - 70 = -2*t - 2*t. What is the smallest common multiple of 8 and t?
72
Suppose 0 = 21*p - 15*p - 36. Calculate the smallest common multiple of 1 and p.
6
What is the lowest common multiple of (-407)/(-148) + 1 + 7/(-4) and 4?
4
Suppose 0 = -4*x + 2 + 2. Let q(a) = -a + 1. Let i(s) = -s - 6. Let k(c) = x*i(c) + 3*q(c). Calculate the lowest common multiple of k(-3) and 5.
45
Let m be 4/6*(-186)/4. What is the common denominator of m/(-4) + -2 - -1 and 55/8?
8
Let w = -26659/6 + 4426. Let j = 4045/9 + -450. What is the common denominator of j and w?
18
Calculate the common denominator of (-7 - -1)*(-3)/(-14) and (340/(-8) - 0) + 1.
14
Let z(y) = -3*y**2 - y + 3. Let w be z(-3). Let b = -5 - w. Calculate the lowest common multiple of 6 and b.
48
Let t(i) = -i**2 - 4*i + 12. Suppose -2*a = 3*a - 20. Calculate the least common multiple of a and t(-5).
28
Suppose -v = 2*m + 3*m - 199251, -3*v = 4*m - 159403. Let x = m + -26739343/671. Let o = 51597/6710 + x. What is the common denominator of o and 113/14?
70
Let g(h) = -h**3 - 10*h**2 + 9*h - 12. Let y be g(-11). Let q be y/10 + 328/(-110). Let x = q - 141/55. Calculate the common denominator of x and -53/11.
11
Let r be (-395506)/4*1/11. Let w = r + 8985. What is the common denominator of w and 2 - (-3)/(36/(-55))?
132
Let x(d) = 8*d - 1. Let m be x(2). Let t = m - 10. Calculate the lowest common multiple of 7 and t.
35
Let a = -5 - -4. Let b = 2331 - 27931/12. What is the common denominator of b and a/(16/(-106)) + 2?
24
Suppose 0*w - 8 = -w - n, -3*n + 9 = 0. Let t = -8 + w. Let q = t + 4. What is the least common multiple of 1 and q?
1
Find the common denominator of 17/8 and 1/2 - 536/(-112).
56
Let h(m) = -8*m - 3 - m**3 + 4*m - 3*m**2 + m + 0. Suppose -3*z + 11 = 4*r, 2*z + 6*r - r - 