
18
Let b = 12/13 + -62/39. What is the common denominator of 77/30 and b?
30
Let w be -5*(-1 - 14/(-10)). Let q = -171/44 + -37/11. Calculate the common denominator of 93/(-4) + (-3 - w) and q.
4
Let t = -129 - -169. What is the least common multiple of 12 and t?
120
Let c = 28 - 19. Suppose -1 - c = -5*b. What is the smallest common multiple of 8 and b?
8
Let w be 4/10 + (-4622)/760. Let v = 88/19 + w. Calculate the common denominator of v and 79/6.
60
Let k be (-10932)/544*(-4)/(-18). Let q = k + -19/17. Calculate the common denominator of q and -69/20.
60
Let m = -7543/6 - -57071/12. Let n = m + -3519. What is the common denominator of n and 15/8?
8
Let q = 981 + -2041/2. What is the common denominator of q and 55/12?
12
Calculate the smallest common multiple of (1/3)/(3/81) and 5.
45
Suppose 0 = j - h - 4*h - 14, 0 = 2*j - 4*h - 22. What is the lowest common multiple of (-9)/(-6) - (-2)/4 and j?
18
Let c be 31/(-4) - (-4)/(-16). Let t be 2/c + 330/(-24). Calculate the common denominator of t/(-4)*1/(-3) and -27/14.
42
Suppose -4*x = -5*z + 346, -z = 3*x + 14 - 68. What is the smallest common multiple of 2 and z?
66
Let z be 7*-3 - (-3 - -4). Let u = 42 + z. What is the smallest common multiple of u and 16?
80
Let i(f) = -f**3 + 9*f**2 - 8*f + 1. Let x be i(8). Let p(n) = 18*n**3 - n**2 + 1. Calculate the least common multiple of p(x) and 10.
90
Suppose 0 = 2*i - 3*i + 4. Calculate the lowest common multiple of i and 21 - (0 - -1) - 2.
36
Find the common denominator of (-115)/(-30) - (0 - (-2 - 0)) and 47/3.
6
Let f = -369 + 1385/4. What is the common denominator of (-15)/(-12)*(-2)/(-7) and f?
28
Let b = 1867/6290 + 2/629. Let r(p) = p**3 + 7*p**2 + 2. Let f be r(-7). Calculate the common denominator of 0/f - 712/80 and b.
10
Let p = -15 + 21. Calculate the lowest common multiple of p and 8.
24
What is the common denominator of (-1)/4*((-1080)/7)/6 and (-1)/2 + 27/8?
56
Suppose 10 = 3*y + 1. Suppose -4*v - 2*t = -v - 17, 0 = y*t - 3. What is the least common multiple of 3 and v?
15
Let f(i) = -i - 2. Calculate the least common multiple of f(-7) and 28.
140
Find the common denominator of 109/20 and -1 + (-219)/(-24) + 0.
40
Let b = -120 + 76. What is the common denominator of -25/2 and 1/9*(-3993)/b?
12
Let a = -1 - 10. Find the common denominator of (-2 - (-182)/20) + 1 and a.
10
Let v = 1577 - 707. Let s = v + -5287/6. What is the common denominator of s and -21/16?
48
Let j = -4 + 9. Let h(n) = n**3 + 2*n**2 - n + 6. What is the smallest common multiple of h(0) and (4 - 0 - 2)*j?
30
Let d = -3 - -3. Suppose d = -4*k + 2*k + 94. Calculate the common denominator of 89/8 and (-9)/24*k/(-3).
8
Suppose -5*r - 672 = -r. Find the common denominator of 51/4 and (-2)/8 - (-618)/r.
28
Let o(p) = p**2 - 2*p + 1. Calculate the lowest common multiple of o(5) and (-4 + 8)/2 - -4.
48
Let r = -13 + 18. Suppose -1 = -14*b + 13*b. Calculate the lowest common multiple of b and r.
5
Let f = 55 - 47. What is the lowest common multiple of 1 and f?
8
Suppose 0 = 2*j + t - 31, -2*j = -0*j + 4*t - 16. Suppose h = 4*h - j. Calculate the least common multiple of h and 6/4*(-60)/(-9).
30
Let g = 6775/18 - 383. Find the common denominator of -21/4 and g.
36
Let q be (1 + 0)*(-4 - 7). Let f = 383/70 - 15/14. Calculate the common denominator of f and (2 - 2) + 16/q.
55
Suppose -4*c - c + 15 = 0. Suppose -c*m + 1 = -2*m. Calculate the least common multiple of 7 and m.
7
Let s = -35 - -87. Calculate the smallest common multiple of s and 6.
156
Let p(k) = k**2 + 4*k + 8. Let f = 3 - 9. What is the lowest common multiple of 18 and p(f)?
180
Let d = 1227/34 + -78/17. Calculate the common denominator of d and -35/4.
4
Suppose -4*z = 2*o - 7*o + 34, 0 = -o + 4*z - 6. Calculate the smallest common multiple of o and 44.
220
Let f(c) = -c - 2. Calculate the least common multiple of 9 and f(-7).
45
Calculate the common denominator of (-524)/(-210) + 6/(-14) and 5/9.
45
Suppose -q = 4*q - 10. Suppose 3*m + 120 = 3*d, -3*m + q*d - 209 = 2*m. What is the common denominator of 17 and m?
1
Let y = 421/21 - -16/7. Let v = 3512/7 + -505. Find the common denominator of y and v.
21
Let x = -16 - -34. Suppose 2*i = -i + 30. What is the smallest common multiple of x and i?
90
Let s = 10 - 6. Let a(m) = m**2 + m - 2. Calculate the least common multiple of s and a(-5).
36
Let u = -4 - -7. Suppose 5*d + 7*c - 2*c - 90 = 0, -u*c = d - 22. Suppose 2*g + g - 48 = 0. Calculate the lowest common multiple of g and d.
16
Let u = 46 - 26. What is the least common multiple of u and 8?
40
Let h(x) = -x + 4. What is the lowest common multiple of h(-8) and 14?
84
What is the common denominator of 3 + (-393)/18 + 3 and (-453)/9 - 1/6?
6
Suppose 0 = 2*q - 4*v - 52, q + 4*v - 44 = -6. Calculate the common denominator of 1/20 and 333/21*5/q.
140
Calculate the common denominator of 37/28 and (1/(-12))/((-6 + 13)/(-301)).
84
Let q(o) = -o**2 - 3*o - 2. Let r be q(-2). Suppose r = -l + f + 11, -2*f + 0*f - 32 = -3*l. Calculate the least common multiple of 8 and l.
40
Let a = -110003/16 - -6881. Let t = 15/151 + -3835/604. Calculate the common denominator of t and a.
16
Suppose 5*q - 16 = 2*i, -3 - 11 = -5*i - q. Find the common denominator of 79/12 and (5/i)/((-6)/51).
12
Suppose -4 = 4*p, -4*d - d - 5*p + 525 = 0. Suppose -o - 48 = d. Find the common denominator of (-3)/12 + o/(-40) and 89/8.
40
Let z = -6263/910 + -8/455. What is the common denominator of z and (-5)/2*218/(-50)?
10
Suppose 4*c - 47 = -5*g, 0*c - 12 = -3*c + 4*g. Let w = -2 - -4. Suppose m - w = -m. What is the smallest common multiple of m and c?
8
Let l = -336089/105315 - -4/5015. Find the common denominator of l and 17/6.
42
Let d = 58781/3732 - 1/1866. Let j = 27863/324 - 182/81. Let u = j - 489/4. Find the common denominator of u and d.
4
Let l = -5 - -10. Let y be 24/18 + (-184)/(-6). Suppose -68 = -l*w + y. Calculate the smallest common multiple of w and 16.
80
Let z = 243389/6440 - 1761/46. Calculate the common denominator of z and 45/8.
280
Suppose 4*t = -t - 10. What is the common denominator of -59/18 and 62/8 + t + 2?
36
Let j(z) = -z**2 + 4*z + 2. Let q be j(5). Suppose -6 = 3*l - 4*l. Calculate the lowest common multiple of 2 and l + (-2 - q - 3).
4
Let m = 287/104 - -29/26. What is the common denominator of m and -83/8?
8
Let s(a) = 7 - 57 - 16 - a. Let x be s(0). Find the common denominator of x/15 + 2/(-4) and 65/6.
30
Let p = -2768 + 27737/10. Find the common denominator of p and ((-33)/9 - -3)/((-8)/41).
60
Let i = 1 + 4. Calculate the common denominator of 29/8 and 194/(-4)*1/i.
40
Let z be 4/18 + 77812/(-72). Let p = 1125 + z. Calculate the common denominator of ((-2)/(-4))/(18/244) and p.
18
Suppose 0 = -b - 4*b - 20. Let r = 6 + b. Suppose -6*u = -r*u + g - 84, -u + 24 = g. What is the least common multiple of 2 and u?
20
Let w = -99377/12 + 8274. Calculate the common denominator of w and -151/6.
12
Let j(g) = -g**3 - 4*g**2 + 4. Let c(o) = -o**2 + 6*o - 4. Let v be c(6). What is the least common multiple of 5 and j(v)?
20
Let t = 6 - 3. Calculate the lowest common multiple of -1 + -1 - 13/(-1) and t.
33
Calculate the common denominator of 8/(-140)*444/16 and 37/16.
560
What is the common denominator of 53/12 and (-948)/(-120) - ((-6)/(-3) - -1)?
60
Let a be (2/5)/((-3)/2730). Let b = a - -1802/5. What is the common denominator of b and -15/7?
35
Let y(q) = -623*q**3 - 2*q. Let p be y(2). Let a = -59977/12 - p. Find the common denominator of 5/8 and a.
24
Let b(i) = i**2 + 3*i - 4. Let g(n) = n**2 - n + 18. Calculate the smallest common multiple of b(-5) and g(0).
18
Let a(g) = -1 - g**3 + 3 - 5*g - 4 + 6*g**2. Suppose -p + 5 - 1 = 0. What is the least common multiple of a(4) and p?
20
Let y(z) be the first derivative of -z**2/2 + 4*z - 2. Let q = -6 - -12. What is the smallest common multiple of y(3) and q?
6
Let v = -10 + 17. Suppose -3*c = -0*c. Let y = v - c. What is the lowest common multiple of 4 and y?
28
Suppose -4*f + 5*w = 107, -5*w + 3*w + 138 = -5*f. Find the common denominator of (2 - f/5) + 1 and 101/8.
40
Let d = 1 + 4. Let b = 9 - d. Calculate the smallest common multiple of b and 8.
8
Let v(g) = -g**3 - 3*g**2 + 1. Let k be v(-4). Let m = 31 - k. Let i(u) = -u + 16. Calculate the lowest common mult