o = t + 210383/44. Find the common denominator of -71/44 and o.
44
What is the common denominator of (-32)/(-56) - (-166887)/(-379260) and -123/40?
1720
Suppose 32*z - 22818 = 4958. What is the lowest common multiple of 8 and z?
1736
Let w(f) = -2*f**3 - 105*f**2 - 60*f + 99. Let j be w(-46). Let q = -1109161/45 - j. What is the common denominator of -13/25 and q?
225
Let w(s) = s + 6. Suppose -j = -0*j - 3. Suppose -j*d + 12 = -3, t = -4*d + 24. What is the lowest common multiple of t and w(2)?
8
Suppose -2*o - 52 + 71 = -61. Calculate the lowest common multiple of 1170 and o.
4680
Find the common denominator of -1 + 42107/(-4680) + 10 and -77/240.
720
Let m be 400468/(-16)*(-7)/(385/50). Let a = m + -22749. Calculate the common denominator of a and -29/38.
418
What is the common denominator of (-2150)/1800*9/6 and -55/252?
504
Suppose -4662*i + 4655*i + 1344 = 0. What is the smallest common multiple of 16 and i?
192
What is the smallest common multiple of 950 and 534/(-4005) - 3752/(-15)?
4750
Let m = -244 + 379. Let z = m + -87. What is the least common multiple of z and -1 + 15/5 + 3?
240
Let k = 0 - -5. Suppose -41*b + 2425 = 556 - 2026. What is the lowest common multiple of b and k?
95
Let d = -8309 - -8393. What is the least common multiple of 21 and d?
84
Let x(j) = 3*j**3 - 5*j**2 + 2. Let t(n) = 4*n**3 - 5*n**2 + 2. Let h(w) = -6*t(w) + 7*x(w). Calculate the least common multiple of 1 and h(-3).
38
Let v be (2 + 0)/(-6 - 199444/(-33243)). Let b = v - -66603/14. Find the common denominator of (26/16)/((-9)/20) and b.
126
Find the common denominator of 21 + 503308*(-1)/23952 and 13/5.
29940
Let c = 6025 - 5215. What is the least common multiple of 45 and c?
810
Suppose -5*r - 5*y + 27 + 603 = 0, 3*y - 15 = 0. Calculate the smallest common multiple of r and 88.
968
Suppose -35*p + 32*p - 9 = 0. Find the common denominator of (-580)/(-24) + (p - -1) and (143/24)/13*15.
24
Suppose 13*n = -13*n + 676. Suppose 0 = -23*h + n*h - 177. Calculate the smallest common multiple of h and 4.
236
Suppose 0 = -m + 25 + 12 + 23. What is the least common multiple of m and 24?
120
Suppose -70 = -19*s + 14*s. Let z be (-6)/s - 22/14. What is the common denominator of z/14 + (-5)/((-1470)/581) and -25/8?
24
Let d be (-2)/(-2 - 12/(-8)). Suppose d*p - 95 = 49. Suppose 6*j - p = 3*j. What is the least common multiple of j and 4?
12
Let t = 53 - 23. Find the common denominator of (-6)/t + 146/(-120) and 6 - 7 - ((-69)/(-22) - 1).
132
Calculate the least common multiple of 202 and 201612/636 - 2*7.
606
Let i = 16 + 35. Suppose -4*x - 4*d + 48 = 0, 0 = -2*x + 6*d - 2*d - 30. What is the smallest common multiple of i and x?
51
Let d be -7*(-1 + 253/254). Let w = d - -13921/1778. Find the common denominator of w and (-6095)/424 + (-6*4)/(-6).
56
Let w = -22124 + 818516/37. Let s = 28018558 - 12440233597/444. Let k = w + s. What is the common denominator of k and -41/90?
180
Let x = -15307/15600 + 113/400. Calculate the common denominator of -97/72 and x.
936
What is the common denominator of -39/1360 and ((-4148)/(-720) + 19/(-171))/28?
9520
Let u = 3602 + -3526. Calculate the lowest common multiple of 152 and u.
152
What is the common denominator of 83/560 and 38/(-50)*((-38581)/(-27552) + (-8)/6)?
1120
Find the common denominator of 19/240 and ((-6)/77)/(7440/(-20181)).
2640
Let a = 1384767753/16 + -86468827. Let n = a + -79131. Let g = n - 4989/208. What is the common denominator of g and -37/12?
156
Calculate the common denominator of 418/1560 - (11 - 559/52) and 77/54.
3510
Let i = -1393/4 + 463793/1332. Calculate the common denominator of -139/18 and i.
666
Suppose 4*w - 4*o = 12, 3*o - 1 + 3 = -4*w. What is the common denominator of 318/4*w/(-3) and (-184)/1932 - (-2 - 1527/378)?
18
Suppose -49*h + 150*h = 1010. Calculate the smallest common multiple of h and 28.
140
Let c(l) = l**2 - 5*l - 16. Suppose -4*b = 3*j + b - 14, 3*b + 22 = 2*j. Calculate the least common multiple of -5 + -1 - (-2 - 0) - -9 and c(j).
40
Let o(c) = 2*c**2 + 57*c - 1415. What is the smallest common multiple of o(16) and 2219?
19971
Let v(q) = -2*q**3 + 31*q**2 + 15*q + 20. Suppose -3*s + 264 = s + 4*w, 0 = 4*s + w - 270. What is the lowest common multiple of v(16) and s?
68
Let i be (2 + -3)*(-14 - 2117) - 6. Suppose -2131*u = -i*u - 54. Calculate the smallest common multiple of 29 and u.
261
Let h be -2*(-2)/(-2) + (18 - 16). Let b be (-4)/4*0 - h. Let w = 10 + b. Calculate the smallest common multiple of 34 and w.
170
Let o = 20 - -10. Let a be 8138/o + (-33)/77. Let n = 1880/7 - a. Calculate the common denominator of n and 7/15.
15
What is the lowest common multiple of 114425/161 - (-80)/(-112) and 565?
80230
Let i = 42177/2 + -210917/10. Calculate the common denominator of i and 79/4866.
24330
Let l = 102100280 - 2757074416/27. Let m = l - -27177/2. Find the common denominator of 79/18 and m.
54
Let s = -2/59 + 953/5487. Calculate the common denominator of 18/19 and s.
1767
Find the common denominator of 6/24 + (-303)/480 and 45623/(-8772) - (-2)/17.
480
Let f = -217903 + 407696472/1871. What is the common denominator of f and -49/2?
3742
Let p be 1 - -1 - (1 + -123 + 3). Suppose -p*l = -114*l - 42. What is the lowest common multiple of l and 2?
6
Let w(d) = -46. Let c(i) = i + 3. Let p(f) = -14*c(f) + 2*w(f). What is the least common multiple of p(-10) and 10?
30
Suppose -3*s = -0*d - 4*d - 74, 46 = s + 4*d. Suppose -38*w + s*w + 128 = 0. Let c = 24 - -4. What is the smallest common multiple of c and w?
112
Let a(p) = -3*p**2 + 93*p - 18. Calculate the least common multiple of 324 and a(7).
972
Let c(t) be the third derivative of -11/60*t**5 + 11/24*t**4 - 5/3*t**3 - t**2 - 1/120*t**6 + 0 + 0*t. Calculate the lowest common multiple of 1 and c(-12).
2
Suppose -4*r + 9140 = -4*a + 2200, 0 = -2*r - a + 3458. Calculate the least common multiple of r and 1731.
1731
Calculate the common denominator of -4 + (164/20 - -3) and (-5)/12*(-6 - 34).
15
Let t be (9/15)/((-10)/(-50)). Suppose 0 = -2*m - t*y + 1095 - 358, 1086 = 3*m - 2*y. Calculate the smallest common multiple of m and 12.
1092
Suppose -3*z - 2*z = -10. Calculate the common denominator of (-7566)/390*15/(-18) and -2 + z + (-17)/(-6).
6
Suppose 4*d - 59 = 141. Let l = -34 + d. Calculate the smallest common multiple of 30 and l.
240
Suppose z + 26317 = -2*a, 0 = 3*a - 4*z + 37926 + 1522. Let x be (-3670938)/93*1/(-3). Let i = a + x. What is the common denominator of i and -29/10?
310
Suppose -3*n + a + 23619 = 0, -2*n - 7871 = -3*n + a. Let m = n + -393753/50. Find the common denominator of -5/2 and m.
50
Let l(p) = 3*p**2 + 22*p + 24. Calculate the least common multiple of l(4) and 80.
160
Suppose -3*q + 3 = -r, 4*r - 3*q - 8 = -38. Calculate the smallest common multiple of 34 and 78/9 - r/(27/4).
170
Let r(l) = 307*l + 9832. What is the smallest common multiple of 504 and r(-32)?
504
Let l(h) = 2*h**3 + 22*h**2 - 4*h - 34. Suppose -5*d - 348 = -11*d. What is the lowest common multiple of d and l(-11)?
290
Suppose 12*d + 15 = 7*d. Let k be 2 - 0*d/(-9). Suppose -k*z - 8 = -5*m + 1, -15 = -5*z. Calculate the lowest common multiple of 18 and m.
18
Let t be (-2060)/(-8)*64/(-40). Let z = t - -416. Calculate the lowest common multiple of 72/7 + 4/(-14) and z.
20
Let x be (-2 - 405/18)*(-9)/33. Let v = -7531/1188 + x. Find the common denominator of -5/162 and v.
324
Suppose -3*x = -3*h - 3, -24 = 2*h + 5*x + 13. Let p be h/9 - 20/6. Calculate the smallest common multiple of 8 and p/(-26) - (-684)/117.
24
Let k be ((-45)/25)/(-5 + (-97)/(-20)). Let x be (4 + 4)*(-2)/4. What is the common denominator of 37/14 and (-342)/k + x + 0?
14
What is the smallest common multiple of 11 and (32/(-5))/(-16)*10*3?
132
Let h = -13124/176445 - -2/6535. Let j = 415084/33 + -12576. Find the common denominator of h and j.
297
Let h(l) = l**2 + 10*l - 10. Let w be h(-13). Suppose 11*f - w*f + 360 = 0. What is the smallest common multiple of f and 24?
120
Let c = -133 + 133. Suppose c = 2*u + 8, u = -g - 24 + 6. What is the common denominator of 19/6 and g?
6
Let l(h) = -h**3 + 20*h**2 - 36*h + 1. Suppose -2*f - 52 = -4*s + 3*f, 0 = 3*s - f - 50. What is the least common multiple of 71 and l(s)?
71
Let f(q) = 12 - 1275*q + 0*q**2 + 1300*q - q**2. 