
20
Find the common denominator of 16/(-544)*(1 - (-188)/(-36)) and 5/6.
306
Let g be (54/7)/(50/490). Let c = -159/2 + g. Find the common denominator of c and 55/18.
90
What is the common denominator of 5/(-5) + 710/(-260) and 89/130?
130
Let g = 7106/9 + -792. Let u = -616 + 621. Calculate the common denominator of g and u.
9
What is the smallest common multiple of (-4*(-11)/(-22))/((-3)/24) and 3?
48
Let s(j) = -3*j**3 + j**2 + 2. Let o be s(-3). Suppose -4*h - 3*b = -0*b + 127, 3*h = b - o. What is the common denominator of (-2)/((-12)/3)*h and 6/7?
14
Suppose -n - 2*n = 18. Calculate the common denominator of -67/6 and (5 + 518/(-114))/(4/n).
114
Let q = 456 + -117. Calculate the common denominator of -107/6 and (q/(-60))/(2/(-4)).
30
Suppose 5*r + i - 17 = 0, 3*r - 2*i - 12 = 6. What is the lowest common multiple of r/4*(-2 - -13) and ((1 - -1) + -3)*-11?
11
Let o = -219 - -268. What is the least common multiple of o and 91?
637
Let x = 29 - 28. What is the common denominator of 534/(-648) + x/1 and 13/10?
540
Suppose -2*v + 5 = -5*j, 4*j + 3*v - 18 = 1. Suppose 3*i - p = 8*i - 51, 3*p = i - 23. What is the lowest common multiple of i and j?
11
Let o(d) be the second derivative of d**4/12 - d**3/6 + 11*d**2/2 + 3*d. Suppose l + 2*l = 0. What is the least common multiple of o(l) and 9?
99
Let c(h) = -h**3 + 8*h**2 + 3*h + 6. Suppose 0 = -b, -3*b + b = -5*z + 45. Let m be c(z). What is the common denominator of (-708)/m*(-1)/(-4) and 89/6?
48
Let l = -2/189 + -356/2079. Suppose -4*o + t - 3 = 0, 0 = o - 3*o - 3*t - 5. What is the common denominator of o - (2 - 89/(-4)) and l?
44
Let b be ((-7)/21)/(1/(-9)). Suppose 3*o - 5*o = 5*g + 17, b*o + 5*g = -23. Let t = o + 28. Calculate the lowest common multiple of 14 and t.
154
Let g = -1353679/3864 - 3/1288. Let l(s) = 178*s - 1. Let t be l(-2). Let p = g - t. Find the common denominator of 44/7 and p.
21
Suppose 459*q = 450*q + 540. What is the smallest common multiple of q and 108?
540
Let x = -104 - -107. Suppose 4*h = 4*f + 52, -h + x*f = -0*h - 15. Calculate the least common multiple of 30 and h.
60
Find the common denominator of ((1 - 3)/(-8))/((-45)/(-636)) and (1/20)/((-6)/365).
120
Calculate the common denominator of (3/(-10))/(32452/(-7885) + 4) and 39/340.
2720
Let r(x) = 19*x - 72. What is the lowest common multiple of 425 and r(4)?
1700
Let r = 46/5 - 77/10. Let j = -229771429 - -618314925925/2691. Let z = j + -5/414. Find the common denominator of r and z.
26
Let l = 14 - -11. Suppose 5*q - l = 3*g, 3*g + q = -g - 18. Let b = g - -10. What is the least common multiple of 1 and b?
5
What is the least common multiple of (15/(-10))/1*360/(-3) and 90?
180
Let a = -13 - -16. Suppose 0 = -2*x - 2*d + 64, 4*x + a*d - 152 = 7*d. Calculate the least common multiple of 14 and 10/x - (-110)/7.
112
Suppose 0 = 4*s + 14 - 58. Let v(t) = t**3 - 8*t**2 + 13*t + 7. Let l be v(5). Calculate the least common multiple of s and (l - (-10)/6)/(2/(-15)).
110
Let q = -1/46 + 571/874. Calculate the common denominator of q and 45/7.
133
Let j = 299 + -123. Calculate the lowest common multiple of 176 and j.
176
Suppose -79 = -4*l + 61. What is the common denominator of -51/4 and 666/140 + (-14)/l?
28
Let a(p) = 4*p + 14. Let t(r) = -3*r - 14. Let l(g) = -2*a(g) - 3*t(g). What is the least common multiple of l(-10) and 9?
36
Let d = -24 + 28. Suppose 4*w = -3*n + 7*n + 76, 0 = -d*n + 4. Calculate the least common multiple of w and 28.
140
Let t = 27 + -59. What is the common denominator of t and (0 + 194/(-8))/((-2)/1)?
8
Let h = -2/9259 + 916669/129626. Find the common denominator of 141/70 and h.
70
Let d(c) = -30*c**2. Let u be d(1). What is the common denominator of ((-38)/(-18))/((-6)/(-18)) and (-548)/u - (-6)/15?
3
Let p = 19 - 81. Calculate the common denominator of p*(-3 + 38/12) and -47/3.
3
Suppose 100 = 3*p - 5*d, -p - 3*d + 36 = -6*d. Find the common denominator of (-175)/21*(-4)/p and (-4)/7 + 2922/336.
72
Let u be 10*((-2)/2)/(-1). Suppose 5*x - u = 20. Suppose s + 4 = x. Calculate the smallest common multiple of s and 3.
6
Calculate the lowest common multiple of (17 - -1)/(50/175) and 24.
504
Let a = 2839/3 + -28693/30. Find the common denominator of a and -92/45.
90
Let p be (-19920)/42 - (-2)/7. Calculate the least common multiple of 10 and p/(-12) + 2/4.
40
Suppose -15*f + 2607 = 252. Let b = -127 + f. What is the smallest common multiple of 16 and b?
240
Suppose -25*b - 143 = -368. Calculate the smallest common multiple of b and 5.
45
Let x be (-2)/2*108/(-18). Suppose 2*l + 76 = x*l. Find the common denominator of l and 0.
1
What is the common denominator of 3/10 and (-10 - -8) + 4885/(-1430) + 5?
1430
Suppose 74 = -3*j - 49. Let k be (3 + 6/(-4))*-18. Let v = k - j. Calculate the least common multiple of 8 and v.
56
Let c be ((-8600)/15)/((6/(-9))/2). Let x = -20657/12 + c. Find the common denominator of -79/18 and x.
36
Let b = -185 - -89. What is the smallest common multiple of 20 and ((-1)/(-3))/((-2)/b)?
80
Let a = 11 - -5. Let o be (-144)/(-10) + 20/(-50). Suppose s - o = 6. What is the smallest common multiple of a and s?
80
Let u = -25 - -47. Let z(s) = 23*s**2 - s - 2. Let l = -47 - -46. What is the least common multiple of z(l) and u?
22
Let u = -496645/24 - -20699. Find the common denominator of 73/80 and u.
240
Let f(y) = -21*y + 330. Calculate the lowest common multiple of f(14) and 33.
396
Let s = -5767/8 + 731. Calculate the common denominator of s and 11/58.
232
Let x = -8747/6 - -1453. What is the common denominator of x and 19/14?
42
Suppose -32*v + 41*v = 108. Suppose q + 0*q = -3*o + 6, 4*o = 5*q + 8. What is the least common multiple of o and v?
12
Find the common denominator of (-3)/7 - (-3678)/2310 and 29/15.
165
Suppose t - 88 + 5 = 0. Suppose t = -10*u + 363. Calculate the lowest common multiple of u and 20.
140
Let l be 36/48*8/3. Suppose -5*q - 4*i - 3 = 1, 0 = i + 1. Let k = l + q. Calculate the least common multiple of k and 10.
10
What is the smallest common multiple of (-8)/(-16)*(65 - 1) and 2?
32
Let a be -1 + (-2 - (-4706)/20). Let f = 231 - a. Calculate the common denominator of f and (239/(-717))/((-10)/(-159)).
10
Let h(t) = -t**2 + 25*t - 88. Suppose -4*y + 95 = -i, -3*y - 5*i = y - 101. What is the least common multiple of y and h(5)?
24
Let j be (-4)/(-10) - (0 + 14/35). Suppose j = 4*i - 2*t - 72, 5*i - 30 - 60 = -5*t. Calculate the smallest common multiple of 33 and i.
198
Suppose -2*f - 16 = -2*j + 32, 2*f = -j + 9. Suppose -2*b + 49 + j = 0. Calculate the least common multiple of 4 and b.
68
Let q = 304325/66 + -9219/2. Let p = 20831/12 + -1739. Calculate the common denominator of p and q.
132
Let j = 31 + -25. Suppose 5*f + 75 = 5*l, 5*f + 13 = l - j. Let n(o) = -o**3 - 4*o**2 + 2. Calculate the least common multiple of n(-4) and l.
14
Let j = 40790 + -17483. Let m = j - 1141961/49. Let b = m + 6221/294. What is the common denominator of 79/20 and b?
60
Suppose 32 = -c + 44. Let g = 36 + -16. What is the smallest common multiple of g and c?
60
Let b = -108 - -150. What is the smallest common multiple of b and 27?
378
What is the common denominator of -8 + (-207)/264 - -8 and 19/24?
264
Let w be (2/(-8) - 9/(-12))*76. Let v = w - 27. Suppose -35 = -3*n - 4*j + 2*j, 0 = 3*n - 2*j - 19. Calculate the lowest common multiple of n and v.
99
Let q(f) = f**3 + 25*f**2 - 28*f - 55. Let c be q(-26). What is the smallest common multiple of c/9*(-1 - -4)*-10 and 46?
230
Let p = 5634 - 112637/20. Calculate the common denominator of (1/5)/((-6)/215) and p.
60
Suppose 2*f + 2*f = 16. Suppose -5*m - a + 26 = 0, 102*m + 3*a + 36 = 106*m. What is the lowest common multiple of f and m?
12
Let x(t) = 10*t + 2 + 1 - 5 - 9*t**2 - 5 - t**3. Let p be x(-10). What is the common denominator of 3/20 and 4 + p - (-182)/16?
40
Let q(s) = -3*s + 5*s - 3*s + 3*s. Let k be q(9). Find the common denominator of -89/4 and 4/k - (13 + -20).
36
Let v(p) = -p**3 - 2*p**2 + 2*p + 28. What is the least common multiple of v(-6) and 256?
1280
Suppose 4*y - 4 = 6*i - 4*i, 4*i + 3*y - 36 = 0. Let z(g) = -2*g - 3. Let b be z(-6). Let r = b - i. Calculate the least common multiple of 11 and r.
33
Let o be (58593/(-48120))/(2/(-4)). Let x = -46/401 - o. Let d = -11077/10 - -5514/5. F