
Let r = 36289 + -4790099/132. Calculate the common denominator of 139/6 and r.
132
Let q(y) = -y**2 + 1. Let n be q(2). What is the common denominator of (10/n)/((-23)/(-92)) and -43/3?
3
Let a = -385/3384 - 35/94. Calculate the common denominator of -91/18 and a.
72
What is the common denominator of -57/2 and (-6 - -5) + 1 + 141/210?
70
Let f(n) be the third derivative of 19*n**5/60 - n**4/24 + 2*n**3/3 + 3*n**2. Calculate the least common multiple of f(2) and 2.
78
Let h(k) = k**3 + 8*k**2 - k - 6. Let m be h(-8). Let r(b) = b - m + 6 - 5. What is the least common multiple of 11 and r(4)?
33
Let p = -683/4 - -7473/44. Let c be (1/15)/((-2)/5908). Let y = c + 981/5. Calculate the common denominator of y and p.
165
Let i(l) = -l**3 + 34*l**2 + 33*l + 88. What is the least common multiple of i(35) and 250?
2250
Find the common denominator of (692/112 - 6)*(-268)/(-50) and 113/160.
1120
Let g = -38 - -28. Calculate the common denominator of 37/6 and (-5)/g - (-116)/216.
54
What is the common denominator of 33/40 and (-476)/(-340)*2/(-39)?
1560
Suppose 4*z + 3*b = -b + 36, -z = 4*b. Let k(m) = m**2 - m - 8. Calculate the lowest common multiple of k(-3) and z.
12
What is the smallest common multiple of 1 + -3 + 0 + (0 - -11) and 24?
72
Let c = -659 + 663. Calculate the least common multiple of c and 112.
112
Let i be -4 - (-21)/6 - (-10)/4. Let o(w) = w**3 + 2*w - 1. What is the smallest common multiple of o(i) and 7?
77
Let y = 914 + -9123/10. Let t(b) = -27*b - 15. Let o be t(3). Find the common denominator of (o + 2/2)*1/(-14) and y.
70
What is the common denominator of ((-686)/12 + -2)*81/(-270) and -49?
4
Let a be (-746)/(-371) - (-1 - -3). Let k be ((-229485)/(-24486))/5 + -1. Let f = k - a. Calculate the common denominator of f and -53/18.
198
Let a be (-2)/(-1 - 1) - -8. Suppose -2*j = -1 - a. Find the common denominator of j/15 + (-71)/60 and 23/8.
40
Suppose h - 20 = -3*f, 235*f = 233*f + 3*h + 17. Calculate the lowest common multiple of 564 and f.
3948
Find the common denominator of (-10)/(-24)*392/(-40) + -2 and -131/36.
36
Let u(k) = -2*k + 116. Calculate the smallest common multiple of 8 and u(-2).
120
What is the smallest common multiple of -7*(0 - -1 - 222/42) and 57?
570
Calculate the common denominator of 33/22*(249/(-9) - -2) and 2 + 1 + (-143)/6.
6
Suppose 31*s = 39*s + 8. Find the common denominator of 89/(-24)*(-2 - 0) and s/(-8) - (8281/168)/(-13).
12
Calculate the common denominator of -37/68 and (77/(-6) - 0)*(-1)/21.
612
Let w = 395/138 - -513/23. Let k = -5085/2 + 2496. What is the common denominator of w and k?
6
Suppose -o + 6*o - 831 = -2*d, 0 = 3*d + 4*o - 1250. What is the common denominator of d/42 + 6/(-21) and (-3)/(-5) - ((-198)/(-45) - 4) - 0?
15
Let o = -2/14037761 - 292055617561/308830742. Let v = 944 + o. Let i = -14463/980 - -2/245. What is the common denominator of i and v?
44
Let b(q) = q**3 - 33*q**2 + 33*q - 17. Calculate the least common multiple of b(32) and 93.
465
Let u(x) = -x**2 - 43*x - 112. Calculate the lowest common multiple of u(-40) and 1746.
6984
Let o = 12100/9 + -266947/198. Find the common denominator of o and (14/(-21) - 0)*(-165)/12.
66
Let q = -69 - -44. Let p be (10/q)/((-1)/30). Let j = p + -1. Calculate the least common multiple of 3 and j.
33
Let q be (0 - 16/(-2))/1. Suppose -v = -5*w + 17, -7*v - 16 = -2*v - 2*w. Let p = q + v. What is the lowest common multiple of 6 and p?
6
Let r = -181018333 + 400050523193/2210. Let x = r + 3/221. Find the common denominator of 97/16 and x.
80
Let d = -182 + 198. Calculate the smallest common multiple of d and 28.
112
Let x be (4*2)/((-30)/(-15)). Suppose 0 = -2*o + o + x. What is the lowest common multiple of o and 2?
4
Suppose -12 = -14*w + 12*w. Calculate the smallest common multiple of w and 58.
174
Let b = -401/222 + -1/37. Find the common denominator of (2/(-66))/(1/83) and b.
66
Let m(t) = -2*t**2 - 41*t - 12. Suppose 11*g + 186 = -34. Calculate the lowest common multiple of 18 and m(g).
72
Suppose 3*l = -h + 90, -5*l - 3*h = -7*h - 150. What is the common denominator of (34/(-90))/((-12)/l) and 63/4?
36
Suppose t - u - 7 = 0, 2*t - 11 = -0*u + u. Suppose -42*b + 23*b + 20*b - 1 = 0. What is the smallest common multiple of t and b?
4
What is the common denominator of 53/16 and 32/12 - 4 - (-125)/(-12)?
16
Suppose -4*d - s + 365 = -1346, -3*d + 1307 = -4*s. Calculate the smallest common multiple of 21 and d.
3003
Let u = -15595/68 + -92/17. Let j = -2687/12 - u. What is the common denominator of j and -79/22?
66
Let j(f) = f**3 - 17*f**2 - 12*f - 87. What is the lowest common multiple of j(18) and 606?
4242
Suppose 6*r + 56 = g + 7*r, -5*g + 316 = -4*r. Calculate the lowest common multiple of g and 66.
660
Let c(d) = 6*d**3 - d**2 - d + 2. Suppose 2*m - 8 = 6*m. Calculate the common denominator of -74/3 and c(m).
3
Let s = -85 - -121. Let m = 52 - s. Calculate the lowest common multiple of m and 2.
16
Let x = 2609 + -2261. Calculate the lowest common multiple of x and 87.
348
Let z = -3/797 + -96431/1594. Let g = 62 + z. What is the common denominator of -55/6 and g?
6
Calculate the least common multiple of 12 and (-23)/(-253) + (-16596)/(-33) + -3.
1500
Let d = -226720/34503 + -2/4929. What is the common denominator of d and (-9)/48*-60*(-20)/(-6)?
14
Let p(j) = 2*j - 29. Let d(k) = -3*k + 43. Let c(s) = -5*d(s) - 8*p(s). What is the smallest common multiple of 8 and c(4)?
104
Suppose a = -5*a. Suppose a*r = -3*r + 12. Calculate the smallest common multiple of 6 and r.
12
Let p(o) = 2*o**3 + 43*o - 92. Let u(d) = 5*d**2 - 3*d - 6. What is the smallest common multiple of u(-4) and p(2)?
430
Let j = -2003 - -136199/68. Calculate the common denominator of j and 53/10.
340
Let j = -613/4 + 865/6. What is the common denominator of 25/8*(-10 - (-189)/15) and j?
24
Calculate the smallest common multiple of 24/(-16)*2576/(-42) and 36.
828
Suppose -3*m + 4*s = -160, 4*m - 6*m = -3*s - 107. Suppose 12 = 3*f, f = 3*l - f - m. Calculate the smallest common multiple of (33/2)/(6/8) and l.
220
Let q(x) = 4*x**2 - 31*x + 34. Calculate the smallest common multiple of q(9) and 6.
474
Let w = -88555/31968 - 31/1184. Find the common denominator of w and 19/10.
270
Let n = -914 + 1058. What is the smallest common multiple of n and 90?
720
Let a = -221557/20 + 11081. What is the common denominator of 4/(840/9)*7550/180 and a?
420
Let n be (-525)/165 - (-2)/11. Calculate the common denominator of 715/(-100)*2 - n and -39/8.
40
Let n be (-12)/(-1 - 2/4). Let x be -13*(-1421)/n - 3. Let r = -2311 + x. What is the common denominator of 39/4 and r?
8
Let d(k) = 6*k - 69. What is the smallest common multiple of d(18) and 21?
273
Let p = 5 - 38. Let d = p - -36. Calculate the least common multiple of d and 2.
6
Let s be (-4)/((-4)/(-45))*1. Let r be (-33)/77 + s/(-7). Suppose -4*j + 2 = -r*w + 5*w, -3*w - 4*j + 10 = 0. Calculate the least common multiple of w and 10.
10
Suppose 3*a + 33*x - 29*x = -8, 5*a - 30 = 2*x. Let z(o) = o + 6. Calculate the least common multiple of a and z(0).
12
Let p(a) = -2*a - 2. Let y be p(1). Let z = y - 4. Find the common denominator of (-6 - -30)*z/9 and 127/6.
6
Let t = -32 - -80. Calculate the least common multiple of 66 and t.
528
Let c = 14178002 - 33636906. Let s = -11753182987/604 - c. Let p = s - 3/151. Find the common denominator of -55/2 and p.
4
Let m = 14 - 31. Let d = m - -22. What is the smallest common multiple of d and 2?
10
Let f = 2669/72630 - -21/269. Find the common denominator of f and -63/2.
270
Suppose 0 = 4*g + 17 - 5. Suppose 4*f - 5*f = s - 18, -5*f + 76 = -2*s. Find the common denominator of -25/11 and g + 118/f + -3.
88
Let x(r) = 4*r**2 - 294*r - 120. Calculate the lowest common multiple of x(74) and 5.
140
Let p(a) = a**2 + 5*a - 7. Let y be p(-6). Let r = 116 + -93. Let s = r + y. What is the least common multiple of s and 6?
66
Let k = 27667/45 + -615. Find the common denominator of k and 27/70.
630
Suppose 4*q + 2 = 5*q, 5*k = -q - 33. Find the common denominator of k and (46/28 - 0)/((-147)/98).
21
Let s = -353319502 + 466381770809/1320. Let p = 3/440 - s. What is the common denominator of ((-7)/(-63)*(-27)/(-10))/((-6)/325) and p?
12
Suppose -17 = n - p, 4*p - 3*p = -n - 25. What is the comm