2. Find the common denominator of d and 83/252.
2268
Calculate the common denominator of -53/16 and -3 - (-7 + 5) - (21231/(-5432) + 3).
1552
Suppose -n - n = -16. Let m be (1 + 25)/(5/(-6 - -1)). What is the smallest common multiple of n and m/4*(-17 + 11)?
312
Let k be (-484229 - -1)*(80/138)/(-20). Let z = -14036 + k. Find the common denominator of z and 80/33.
759
Let n = 4/3479243 + 102627230699/62626374. Let j = n + -1645. Find the common denominator of j and 73/18.
18
Suppose 0 = -5*c + 3*u + 6290, -2*u - 6543 = -5*c - 258. Let j = c - 5055/4. What is the common denominator of ((-20)/6)/(47/(7191/(-132))) and j?
44
Let a = -1187 + 9461/8. What is the common denominator of ((-725)/30 - 2/(-4))/(36/27) and a?
8
Let y(h) = -128 - 2*h + h + 140. Calculate the smallest common multiple of (-1)/(-2) + (-78)/(-4) and y(-6).
180
Let o = 1 + -9. What is the common denominator of ((-74)/88)/(1/6) and ((-1176)/(-64))/((-150)/o)?
550
Suppose b + 10 = 2*b. What is the common denominator of 61*(1 + b/(-9)) and ((-56)/(-378))/(12/(-45))?
9
Let c be 218/6*(-14 - -11). Let s = -107 - c. Calculate the least common multiple of 50 and s.
50
Suppose 7*o = 483 - 469. Suppose -o*u + 540 = 28*u. Calculate the least common multiple of 9 and u.
18
Let n(r) = -4*r**2 + 22 - 51 + 2*r + 28. Let u be n(1). Calculate the least common multiple of 1/4 + u + 57/12 and 86.
86
Let a be (-2 + 1)/((-7)/(-28)). Let q be 2/a + 5152/1160 - 4. Let s = -992/145 + q. Find the common denominator of s and 51/20.
20
Suppose -36 = 3*h - 2*b, -6*b + 9 = -3*b. What is the common denominator of 41/2 and -5 + 2/h*11?
10
Suppose -356 = -2*y - c, 2*y + 11*c = 6*c + 372. Calculate the lowest common multiple of 236 and y.
10384
Let i = 391571/1184220 + -3/7310. Calculate the common denominator of i and -101/3348.
10044
Let w(b) = b**3 - 18*b**2 + 11*b - 15. Let s(u) = -5*u + 6. Let o be s(-3). Let f be w(o). Let t = f + -6117/4. What is the common denominator of 24 and t?
4
Let q = 1095 + -348. Let x = 5959/8 - q. Calculate the common denominator of 109/36 and x.
72
What is the lowest common multiple of 22 and ((-564)/(-20) + -3)*(-80)/(-16)?
1386
Let w(n) = 297*n - 5. Let d be w(3). Suppose 0*z = -2*r + z - 1779, -r - d = 3*z. Let b = 5441/6 + r. What is the common denominator of 63/2 and b?
6
Let r(f) = 11*f**2 + 12*f + 10. Calculate the smallest common multiple of r(-8) and 72.
7416
Let s = -893/180 + 147/20. Calculate the common denominator of (1 + (-1183)/(-312))*(-6)/(-3) and s.
36
Let u be (3439411/(-4))/(2 + 20). Let h = -39123 - u. Let t = -472/11 - h. What is the common denominator of t and 75/14?
56
Suppose -2*w = 4*v - 12, -15 - 9 = -w + 4*v. What is the least common multiple of 32/(-6)*6468/(-1568) and w?
132
What is the least common multiple of 363 and ((-820)/200 - (-6)/(-15))/((-6)/968)?
726
Suppose -21988 + 5363 = -25*s. Let p = s - 660. Calculate the smallest common multiple of 374 and p.
1870
Let m = -297187 + 180689633/608. Calculate the common denominator of -77/342 and m.
5472
Let r = -6608381/18630 - -8160/23. Find the common denominator of -19/810 and r.
810
Let d = 54 + -293. Let i = -199 - d. Calculate the least common multiple of 80 and i.
80
Let f be (11 - 0)/((-15)/3600). Calculate the common denominator of 19530/f - (-8 + 1) and -5/32.
352
Let h = 477 + -417. Calculate the smallest common multiple of 4 and 648/15 + 48/h.
44
Let h(f) = 36*f + 363. Suppose 11 = 4*j - 3*j. Calculate the smallest common multiple of j and h(-9).
429
Let f = -1393 - -12574/9. Calculate the common denominator of f and 46/423.
423
Let c = 7/188 - 6897/940. Find the common denominator of 61/2222 and c.
11110
Suppose 7*i - 40 = 3*i. Let w(t) = t**3 - 9*t**2 - 8*t - 9. What is the smallest common multiple of w(i) and (-4)/26 + (-162)/(-39) - -2?
66
Suppose -h - 2*f = -5*f - 34, 0 = 2*h + 5*f - 123. Suppose 620*x = 616*x + 56. What is the lowest common multiple of h and x?
98
Let w(n) = -2*n**2 + 4*n + 1. Let u be w(2). Let r = -4 + u. Calculate the common denominator of -65/22 and r - ((-47)/(-24) + 1).
264
Let q = -2044 + 1346. Let v = q + 738. Calculate the smallest common multiple of 70 and v.
280
Suppose -4*q + 26 - 173 = -3*p, -p + 5*q + 93 = 0. Suppose -8*f + 5*f + 9 = 0. What is the least common multiple of p and f?
33
Let g be (-21*(-3)/9)/(-1). Let r = 260537/12 + -21699. Calculate the common denominator of r and (-1 - 58)/(g + 5).
12
Let v(h) = -h**3 + 6*h**2 + 3*h - 15. Let d = 184 - 169. What is the lowest common multiple of d and v(-3)?
285
Let t be (-1935)/18 - (-1 - 3/(-6)). Let w be 2*(1 - 2)*t/(-2). Let h = w - -111. What is the least common multiple of h and 8?
8
Suppose -4*z + 2*j = -9 + 1, 0 = -4*z + j + 12. Suppose z*d + 10 = -3*a - 100, -d + 39 = -a. Let t = -35 - a. What is the least common multiple of 9 and t?
9
Suppose 4*p = 2*s + 1324, 9*s - 702 = -10*p + 8*p. Calculate the least common multiple of p and 407.
3663
Let h(s) = 21*s - 20. Let k(b) = -b**2 - 13*b - 8. Let w be k(-12). What is the smallest common multiple of 64 and h(w)?
64
Let r = -4678868991896719/99498 + 47024754184. Let j be -2 + 1/((-4738)/(-9478)). Let y = j - r. What is the common denominator of y and 29/22?
462
Let j(m) be the first derivative of -m**3/3 + 8*m**2 + 13*m + 45. Calculate the lowest common multiple of j(13) and 10.
260
Suppose 6*y - 4*y = g + 23, -g - 3 = 3*y. What is the smallest common multiple of 10/g*(-21)/2 and 537?
3759
Suppose -22478 = 17*c + 121*c - 174830. What is the lowest common multiple of 4048 and c?
12144
Let z = -30 + 106. Suppose j = 3*i + 30 + 10, -2*j + 5*i + z = 0. Let l = -19 + j. What is the least common multiple of l and 2?
18
Let c be (50624889/(-54582))/7 + -1. Let f = c + 2/9097. Let a = f - -755/6. Calculate the common denominator of -139/12 and a.
12
Suppose 2*m - 5*g + 16 = 0, m + 3*m + 4*g - 24 = 0. Suppose 554 = 5*f + 2*l, -m*l - 2*l = -4*f + 460. Calculate the smallest common multiple of f and 4.
112
Let g(y) = -20*y**2 + 101*y + 6. Let r be g(5). Suppose 3*d - 3*t + 2*t - r = 0, 0 = -4*d + 5*t. What is the least common multiple of d and 135?
135
Let r(g) = -g**3 - 4*g**2 + 13*g + 5. Let y be r(-6). Let s = 5543/3546 + -3/394. Find the common denominator of s and (-2 - y) + (-162)/(-66).
99
Calculate the common denominator of -38/35 and ((-592)/(-64) - 9) + (-114)/340.
2380
Suppose -897 + 7033 = 42*q + 76*q. What is the lowest common multiple of q and 278?
7228
Let m be 21/28 - 265/(-20). What is the smallest common multiple of 45 and (-25)/(49/m + -4)?
450
Let k = -149 - -163. Calculate the smallest common multiple of (12/14)/6*k and 8.
8
Suppose 81 = 10*k - 19. Let z = -1372063/30 + 45741. Find the common denominator of z and (11/(330/204))/((-78)/k).
390
Let h(t) = -43*t - 351. Let l be h(-10). Let z = 125 + -192. Let n = l + z. What is the smallest common multiple of n and 100?
300
Suppose -403*h - 113*h = -2064. What is the least common multiple of -4 + (-4 + 2 - -10) and h?
4
Let n = 192 - 152. Suppose 5*v - n = a, 6*a = 7*a. Calculate the smallest common multiple of 442 and v.
1768
Suppose -r = i - 8, -r + 6 + 4 = -i. Suppose -r*v - 160 = -7*v. Calculate the common denominator of ((-268)/v + -1)/((-1)/1) and 109/18.
180
Let w = -27 - -24. Let p = 1892 + -19031/10. Find the common denominator of ((-1072)/40)/(w + -1) and p.
10
Let s = -1366 + 2608. Calculate the common denominator of -113/20 and (s/60)/(-9) + 7.
20
Suppose 30 - 6 = 2*p. Suppose 0 = 5*x - 3*b - 1190, -2*x - 238 = -3*x + b. Calculate the smallest common multiple of 14*(255/x - 6/(-14)) and p.
84
Let c = 4465969/192 + -23260. Calculate the common denominator of c and -109*-2*(-1)/(-24).
192
Let o(f) = -8*f - 4. Let i be o(7). Let b be (107/3)/(i/(-1035)). Let n = b - 51997/84. Find the common denominator of 15/7 and n.
21
Let h = 102 + -147. Let m = 50 + h. Suppose -5*o + 26 = q, m*q + 4*o = -0*o + 88. What is the least common multiple of 20 and q?
80
Let t be (126016588/(-233520))/47 - (-3)/7. Let g = t - 21/695. What is the common denominator of -33/14 and g?
84
Let j be (-8)/(-3) - 3/(-9). Suppose j*d = 2*b - 5, 4*d + 1 + 3 = 0. Calculate the least common multiple of (455/(-728))/(6/(-48)) and b.
5
Suppose 0 = -2*t - 3*s, t + 2*s - 3 = -4. Suppose t*g = 2*y - 60, -3*y - g 