1/138. Find the common denominator of -133/12 and j.
276
Suppose 2*i + 28 = f, 3*f + 5*i - 85 - 10 = 0. Calculate the least common multiple of 10 and f.
30
Let k = -51/2138 - 72839/128280. What is the common denominator of k and -83/30?
120
Find the common denominator of (20/96)/(0 - (-1)/(-76)) and -34*(6/15)/(-6 - 0).
30
Let b = 37 + -29. Suppose 8*q - 12 = 6*q. Suppose 5*s + 8 = q*s. What is the smallest common multiple of s and b?
8
Let c be (-640)/(-12)*2*3. Let s = 2256/7 - c. Find the common denominator of 53/7 and s.
7
Let z = 729800 + -324031357/444. Let q = 7/111 - z. Calculate the common denominator of 137/6 and q.
12
What is the smallest common multiple of 2314 and (14 - 2)*(-2)/12*-9?
20826
Let c = 850 + -814. Calculate the lowest common multiple of 2 and c.
36
Suppose -110*t - 4 = -109*t, -w = -2*t - 9. What is the least common multiple of 11 and w?
11
Let o(f) = -f**3 + 8*f**2 - 10*f + 10. Let z be o(6). Suppose z = w + 3*q + 2*q, -3*w + 40 = 2*q. What is the lowest common multiple of 26 and w?
156
Let m(q) be the second derivative of 2*q**3/3 - 2*q**2 - 6*q. Let i(b) = -b**2 - b + 2. Calculate the least common multiple of i(0) and m(3).
8
Suppose -3*u - r - 25 = 0, 5*u + 36 = 4*r - 0*r. Let n = 15 + u. What is the smallest common multiple of ((0 - -3) + -2)*n and 11?
77
Let c = -27 + 24. Find the common denominator of (-4)/c*(-5 + (-444)/32) and -71/32.
96
Let a = -26 - -14. Let r = 3/4 - 19/28. Calculate the common denominator of r and 2*((-225)/a - 0).
14
Let o be -12*(-3)/6*1. Suppose -o*k - 1740 = -2*k. What is the common denominator of k/(-6)*(-6)/(-20) and -133/6?
12
Let z = 3 + 8. Let l(r) = -3*r - r**3 - 3*r - 3*r + 12*r**2 - 16 + 0*r. Calculate the least common multiple of z and l(11).
66
Let r = 95267/104 - 916. Calculate the common denominator of r and 5/16.
208
Let i = 342451/22 - 15562. What is the common denominator of -2*(-3 + (-266)/(-32)) and i?
88
Let z be (-15 + 3)*2/(-8). Suppose -3*i - 2*t + 28 - 150 = 0, z*t = -3. Calculate the smallest common multiple of 16 and (i/28)/(1/(-7)).
80
Let u = -9604 - -480099/50. Calculate the common denominator of u and -109/22.
550
Let o(y) = 14*y**2 + y + 10. What is the least common multiple of 11 and o(3)?
1529
Let i = 16/7 + -1/28. Suppose 18*w + 84 = 11*w. Find the common denominator of i and 1125/(-108) + (-2)/w.
4
What is the smallest common multiple of (25/15)/((-50)/(-180)) and 22?
66
Suppose 0 = -5*w + 87 - 27. Calculate the least common multiple of (-12)/15*(-200)/20 and w.
24
What is the smallest common multiple of (-62)/(-15) + -2*(-11)/(-165) and 28?
28
Suppose 2*w + 4*b + 40 = 0, -32 = -0*w + w + 5*b. What is the common denominator of -20 and ((-2)/4)/(w/(-548))?
6
Let s(v) = 14*v + 5. Let n be s(-2). Let y = 11 - n. What is the lowest common multiple of 16 and y?
272
Let p be (5/(-6))/((-4)/5055). Let w = 1051 - p. Find the common denominator of w and 18/(-9)*(-2 + (-201)/(-120))*1.
40
Let d(s) = -3 + 6 + s**3 - 6*s - 6*s**2 + 3*s. Let b be d(8). Find the common denominator of 8/(-16) - b/(-6) and 93/8.
24
Let f = 3/896 + -2747/896. What is the common denominator of (-215)/5246*71/(-5) and f?
976
What is the least common multiple of 1896/(-56)*-7 + -8 + 2 and 49?
1617
What is the common denominator of 3/223 and -4*36/(-40) - (-2)/(-5)?
1115
Let u(x) = -x + 14. Let n(t) = -2*t - 5. Let a be n(-7). What is the least common multiple of u(a) and 7?
35
Suppose 3*w - 5*n = 12, -n + 0 = -w + 6. Let j = 5717 - 5707. Calculate the smallest common multiple of w and j.
90
Let l(x) = -2*x + 7. Let y be l(0). Suppose u - 4 = y. Suppose 0*z = z - 10. Calculate the least common multiple of u and z.
110
Let c(o) = -2*o**2 - 119*o + 64. What is the least common multiple of c(-60) and 16?
16
Let c(r) = r**3 - 5*r**2 - 10*r + 32. What is the smallest common multiple of 10 and c(6)?
40
Suppose 5*m - 44 = 116. Suppose z - 3*z = -m. Calculate the lowest common multiple of z and 6.
48
Let b = 4962157/1542 - 3218. Let m = 78649/10794 - b. Find the common denominator of m and ((-4)/(-24))/(3/336).
21
Suppose -3*c + 40 = 2*c. Suppose 3*d - 5*w = -0*w + 58, 3*d - 13 = -4*w. Calculate the lowest common multiple of c and d.
88
Let b(f) = 6*f. Let w be b(3). What is the common denominator of 4/w - (-10346)/504 and 57/(-24) - (1 - 4)?
8
Suppose 0 = b + 8 + 1. Let z = 1338 + -5399/4. Calculate the common denominator of ((-2)/22)/(3/b) and z.
44
Let l = -167257/39 + 4289. Let q = 255/26 + l. What is the common denominator of q and -27*1 + (-1)/2?
6
Let w = -12201/10 - -1217. Calculate the common denominator of 3153/378 + (-4)/14 and w.
90
Let a = 58/11 - 733/66. Let s = -2/13053 - -196019/1461936. Let y = s + 3961/112. What is the common denominator of a and y?
6
Let o(d) = 9*d - 126. Let m be o(15). Suppose 2*g + 2*h + h = -16, 5*g + h = -27. Calculate the smallest common multiple of 1 and (g - -7)/(2/m).
9
Let s = -14238712/9 - -1580205. Let d be (-67194)/(-36) - 1/(-2). Let v = s + d. Calculate the common denominator of v and -19/11.
99
Let r = -201 + 363. What is the least common multiple of 36 and r?
324
Let k(o) = o**3 + 11*o**2 + 8*o + 8. Let b be k(-10). Let d be ((-49)/b)/((-1)/8). Find the common denominator of (-49)/(-20) - d/56 and 87/2.
10
Let u = -723 - -763. Calculate the smallest common multiple of 88 and u.
440
Let s be 1/(-4) - (-4499)/17952. Let z = s - 12331/544. Calculate the common denominator of z and 65/2.
6
Let p(k) = -k - 2. Let v be p(-5). Suppose 2*g + 425 = -v*g. Let l = g - -749/8. Find the common denominator of 87/4 and l.
8
Let m be (-1)/(-4) - 35082/140296. Let d = 1736153/175370 - m. Calculate the common denominator of ((-254)/12)/(-4 + 3) and d.
30
Suppose -4*h + 82 = -6. Suppose h = q + 2. Suppose j = 4, 14 = 3*k + 2*j - 18. What is the lowest common multiple of q and k?
40
Suppose -4*b + 1 = -15. Find the common denominator of 57/(60/b - 1) and 0 - 3/((-54)/(-37)).
126
Find the common denominator of 47/20 and 5 + -3 + -2 + (-30)/8.
20
Let y = -1364 + 1374. Calculate the smallest common multiple of y and 1290.
1290
Let i = 430 - 410. Calculate the smallest common multiple of 250 and i.
500
Let a = 188/9 + -11360/549. Let k = 39735925/3843 - 93064/9. Let x = k + a. What is the common denominator of x and -15/8?
56
Let l = 1 + 4. Let b = l - -5. Let c(z) = z**3 + 2*z**2 - 38*z - 5. What is the least common multiple of c(-7) and b?
80
Suppose -7*i - 13 = -2*i - 4*y, y - 2 = i. Let x be (-9)/(-1)*(i + 4). What is the least common multiple of 27/6*(-12)/x and 6?
6
Suppose i - 3*x = -11, 5*i - 5*x + 3*x + 16 = 0. Calculate the common denominator of (-4205)/(-5568) + i*(-2)/6 and 149/18.
576
Let w(v) = v**2 + 6*v - 16. Let f be w(10). Suppose f - 36 = 4*j. Let c = j + -17. Calculate the least common multiple of 15 and c.
30
Let d = -1320 + 27728/21. Find the common denominator of d and -16/27.
189
Let c be 1066/65 - ((-24)/(-10) - 2). Let t(j) = -3*j + 54. What is the lowest common multiple of t(c) and 64?
192
Suppose -61 = -3*g + 25*i - 21*i, 3*g - 37 = -2*i. What is the least common multiple of 30 and g?
30
What is the common denominator of 19/78 and 272/34 - 2085/273?
546
Let n = 19 - 16. Suppose 2*m + 2*i = 33 - 11, 5*m - 63 = n*i. Let l = m + 10. Calculate the lowest common multiple of 12 and l.
132
Calculate the common denominator of 3177/432 - 18/3 and -11/9.
144
Let d be (36/(-60))/(2/(-10)). Suppose -d*x - 3*x - 24 = 0. Find the common denominator of -15 and (-42)/(-4)*x/(-11).
11
Let c(n) = -51*n**2 + 4*n - 9. Let z be c(5). Let j = z + 7619/6. Find the common denominator of j and (-5)/(-2)*(-39)/20.
24
What is the least common multiple of 396/18 + 0 + -1 and 75?
525
Suppose 0 = -0*o + 5*o + h + 8, -14 = 4*o - 3*h. Let t(j) = -2 + 5*j + 2*j**2 - 8*j - j**2 + 3*j**2. What is the lowest common multiple of 14 and t(o)?
140
Find the common denominator of -1 - (-3 - 206/(-12)) and 3 + 52/(-16) + (-51)/30.
60
Find the common denominator of -20/33 and 1576/1056 + 2/(-8).
33
Let v = -31/9 - -7/9. Let y = -1/174 + 959/348. What is the common denominator of y and v?
12
Let k be (6/(-8))/((-1)/4). Suppose -k*x = -w + 25, w + 5*x - 117 = -2*w. Suppose m - 6*m + 60 = 0. Calculate the least common multiple of m and w.
204
Let y = -46/47 - 1086/235. What is the c