
Suppose -4*s + 7 + 1 = 0. Calculate the common denominator of 18/5 and (s - 336/165)*-135.
55
Find the common denominator of ((-18)/(-8))/(3/14) and -2 + ((-170)/4 - -2).
2
What is the common denominator of -53/6 and ((-10)/25)/((-8)/(-218))?
30
Suppose d = -4*d. Let s(q) = -q + 31. Let x be s(d). Let l = -22 + x. Calculate the lowest common multiple of l and 8.
72
Let t = -8 - -28. What is the smallest common multiple of t and 14?
140
What is the common denominator of ((-4)/16)/((-1)/(-3)) and -1/22?
44
Suppose -5*t - 4*b = -t - 104, -2*t = -3*b - 47. Let j = -14 + t. Let h = 21 + -14. What is the lowest common multiple of h and j?
77
Let g = 295117299/328136 - -2/41017. Let q = -895 + g. What is the common denominator of q and -67/12?
24
Let c be (2/5)/((-2)/(-5)). Find the common denominator of (((-55)/(-2))/(-5))/c and -67/12.
12
Suppose j = 3*j. Suppose j*t = t - 3. Suppose -2*m - 8 = -0*m, -3*m = -t*g + 33. Calculate the smallest common multiple of g and 6.
42
Suppose 1348 = -c + 2*c. Suppose -16600 = 4*l + c. Let p = 27065/6 + l. Find the common denominator of p and -68/3.
6
Let z be (-2)/(-4) - 30/12. Calculate the common denominator of -75/2 and z*39/(-126)*-3.
14
Let m = -32 - -76. Let y be 4701/22 + (-8)/m. Let a = -189 + y. Calculate the common denominator of a and -21/11.
22
Let m be -1 - 2/(-2)*1. Let n = 47 - 27. Calculate the least common multiple of n and 1/2*m - -12.
60
Find the common denominator of 53/19 and (5 - -7)/(21/(-8)).
133
Suppose -3*o - 2 = -2*o. Calculate the common denominator of (35/(-1))/(4 + o) and -43/2.
2
Let r(x) = x**2 - 2*x - 8. Suppose 4*y - 30 = -p, -7*p + 120 = -3*p - 5*y. What is the smallest common multiple of p and r(-4)?
240
Let n = 4 + 2. Let m(w) be the first derivative of 11*w**4/4 + w**3/3 + w**2/2 - w - 2. What is the least common multiple of m(1) and n?
12
Let u = -7521/4 - -1861. Find the common denominator of u and 1/2 - (-58)/(-10).
20
Find the common denominator of 3 - 28/88*8 and 6.
11
Let a be (-208 - 2)/((-3)/2). Calculate the common denominator of -65/4 and (-4)/(-14) - (-723)/a.
20
Let a = -49 + 21. Find the common denominator of a and -44.
1
Let j(r) = -r**3 - 7*r**2 - 2*r - 6. What is the smallest common multiple of j(-7) and 1?
8
Let h = -4504/9 - -497. What is the common denominator of h and 189/20 + (-2)/8?
45
Let n be (-159)/(-9) - 3/(-9). Find the common denominator of 31/4 and (n/88)/(1/(-4)).
44
Let w = 4149 + -24785/6. Find the common denominator of w and -19/39.
78
Let a = -112 + 1345/12. Find the common denominator of a and (-22)/4 - (3 + -1).
12
Find the common denominator of (13 - 14)*(-51)/(-7) and 126/10 + (-4)/10.
35
Suppose 2*c + 6 = 5*c. Let d(f) = -f**2 - 12*f - 14. Let r be d(-11). What is the common denominator of 20/3 and 159/45 - c/r?
15
Let q be 2/(-5) + (2 - 1). Let r = 69/10 + q. What is the common denominator of 9/4 and r?
4
Let d = 46375/8 - 5806. Calculate the common denominator of d and ((-55)/825)/((-12)/430).
72
Find the common denominator of 7/25 and 9/(-21) - 898*(-3)/(-84).
50
Let l = 4412 - 52979/12. Find the common denominator of l and 79/24.
24
What is the common denominator of 13/6 and 6/2 - (-79)/4?
12
Let j(d) = d**3 + 2*d - 1. Let m be j(1). Suppose 129 = m*q - q. Calculate the common denominator of 7 and q/(-63)*-3 - 3.
7
Let b = 52 - 37. Suppose 4*u + u - b = 0. Suppose -6 = -2*d + 12. Calculate the least common multiple of u and d.
9
Calculate the common denominator of (-60)/(-6) - 6 - 124/39 and 81/10.
390
Let z = -2 + 0. Let c(k) = -k**3 - k**2 - 2*k - 2. Calculate the smallest common multiple of 16 and c(z).
48
Suppose 3*z - 2*d = -3*d + 29, -2*z = -d - 11. Calculate the least common multiple of 13 and z.
104
Let l = 36 + -27. What is the least common multiple of l and 16?
144
Let k be ((36/2181)/(-2))/(-1). Let p = -50211/5816 + k. Let g = 17/133 - -4437/665. Calculate the common denominator of g and p.
40
Let n be (-3)/9 + 82/42. Let g = 587/168 - n. What is the common denominator of g and ((-4)/16*(-83)/(-1))/(-1)?
8
Let h = -5629/770 - 184/77. What is the common denominator of 101/80 and h?
80
Suppose 60 = 11*u - 9*u. Calculate the least common multiple of 12 and u.
60
Let i(w) = 5*w**3 - 3*w**2 - 6*w + 6. Let a be i(-5). Let r = a - -6659/10. Find the common denominator of 1 + 0 + 11/(-10) and r.
10
Let n(z) = -z**3 + 2*z**2 + 4*z + 1. Let m(f) = -f + 8. Let w be 0 + 0 + (8 - 3). Let p be m(w). What is the lowest common multiple of n(p) and 2?
4
Let i(v) = -v**2 + 6*v + 10. Suppose -4*f - 7 + 19 = y, -3*f - 4*y = -9. Suppose 0*u - 21 = -f*u. What is the least common multiple of i(u) and 4?
12
Suppose 0 = n - 4*n + 12. Suppose -n*f = -5*c + 15, -13 = -2*c + 2*f + f. What is the common denominator of 61/9 and 82/16 + 0 + c?
72
Suppose 2*z + 10 = 4*f, f + 3*f = -4*z + 16. Suppose -3*c = -6*c + 6. Calculate the lowest common multiple of (-3)/9 + 10/f and c.
6
Let z(t) = -t**3 + 11*t**2 + 2*t - 8. Let v(r) = -r**3 + 7*r**2 + 2*r - 10. Calculate the lowest common multiple of z(11) and v(7).
28
Suppose 3*p - 2*y + 2 - 54 = 0, -2*y - 24 = -p. Calculate the lowest common multiple of 10 and p.
70
Suppose 1965 = -4*q - 2311. Let k = -3176/3 - q. Calculate the common denominator of k and 23/8.
24
Suppose -c - 9 = -3*r, 3*c - 4*c = 3*r + 3. Find the common denominator of -127/18 and c/20*194/12.
180
Calculate the least common multiple of (-1 - -2)/((-13)/(-143)) and 4.
44
Let z be -5 - -2 - 103/(-11). Let p = z - 467/44. Calculate the common denominator of 16/5 and p.
20
Suppose 4*t - 56 = -3*j, 4*j - 5 = t - 0*j. Calculate the smallest common multiple of t and 6.
66
Let n = -13 + 19. What is the smallest common multiple of n and 1*-3 + 1/((-1)/(-25))?
66
Let l be 3 + -1 + -1 - -2. Suppose -l*x + 10 = -20. What is the lowest common multiple of x and 204/15 + 4/10?
70
Suppose 0 = -5*c - 10, 0 = u - 2*c + 9 - 3. Let k = -9 - u. What is the common denominator of 2 - ((-309)/(-42))/k and 65/18?
126
Find the common denominator of (-69)/46*2/((-54)/101) and 41/18.
18
Let s be (-1)/3 + 4/(-6). Calculate the least common multiple of (-1)/(-2)*0 - -2 and 5 - 0/(2*s).
10
Suppose -2 = -2*x + 2. Let o be x - 1 - (4604 + -2). Let w = -46059/10 - o. What is the common denominator of 5/6 and w?
30
Let s = 281/160 + -5/32. Find the common denominator of s and 3/8.
40
Let h be 1270/8*2/(-5). Let o = 80 + h. Find the common denominator of -58/7 and o.
14
What is the common denominator of (-12)/288 + (-2)/8 and 49/24?
24
Suppose -3*l + 4 = -2*l. Calculate the common denominator of -73/22 and l/9*(-114)/(-16).
66
Let v(t) = 10*t - 2. Let q be v(2). Suppose -3*p - q = -6*p. Calculate the common denominator of ((-93)/4)/(p/4) and -95/14.
14
Let a(j) = -10*j - 12. Calculate the smallest common multiple of 18 and a(-3).
18
Let b = 64 + -46. Calculate the lowest common multiple of 2 and b.
18
Let y be 13/(7*2/(-1668)). Let o = y + 1554. Find the common denominator of 26 and o.
7
Let g be 10/3 - 6/18. Let h be -3 + 1 + 1 + 3. Suppose 78 - 10 = 4*z + g*i, -h*i = 3*z - 52. What is the lowest common multiple of 14 and z?
140
Let o = -17523 + 630887/36. Calculate the common denominator of (-2)/22*(3605/10)/7 and o.
396
Let b = -22 - -42. Let w = 3 + -3. Suppose b = -w*q + 2*q. Calculate the least common multiple of q and 11.
110
Suppose -4*c + 62 = 5*k, 4*k - c + 3*c = 52. Calculate the lowest common multiple of 2 and k.
14
Let b = 2248/7 - 8593/28. Calculate the common denominator of b and 15/8.
8
Let c(h) = h**2 - h - 4. Let i be c(3). Suppose -i*f - 1 = -17. Calculate the least common multiple of f and 2.
8
Suppose -3*g = 4*m + 8, -5*m + 4*g = 4 + 6. Let r be -2 + m + (-2394)/4. Let u = 552 + r. What is the common denominator of u and -52/11?
22
Suppose 2*f - 3 = 1. Suppose f*u = -22 - 16. Calculate the least common multiple of 10/35 + u/(-7) and 3.
3
Let o(a) = a**3 + a + 1. What is the lowest common multiple of 21 and o(2)?
231
Let j be (10/6)/((-1)/3). Let c = 3 + j. Find the common denominator of (c/(-36))/((-2)/80) and 71/2.
18
What is the common denominator of 61/12 and (-137)/(-20) + 2*-2?
60
Let l(u) = 6*u - 1. What is the smallest common multiple of l(2) and 3?
33
What is the common denominator of (-63)/12 + (-3 - -6) and 31/2?
4
Let l = 1313/63 - 128/7.