.
136
Let a = 8761/9 + -971. Let k be -2 - (21338/(-21344) + 2) - -3. Let s = k + 501677/330832. What is the common denominator of a and s?
279
Let w = -104/1971 + -215779/729270. Find the common denominator of w and 57/1036.
5180
Let q(h) = 2*h**2 + 2*h + 5. Let r be q(-3). Suppose 0 = -r*i + 14553 + 7020. Calculate the lowest common multiple of i/54 - (1/2 + -1) and 32.
96
Suppose 5*z - 5*q - 74 = -q, 3*z + 4*q = 70. Suppose -6*x + 24 = -3*x. What is the smallest common multiple of x and z?
72
Suppose -159*f + 158*f + 20 = 0. Suppose 0 = -7*x + f*x. Calculate the common denominator of -119/6 and x.
6
Let w = 30/1547 + -150659/30940. Calculate the common denominator of w and 3 + (-1686)/296 - 8/(-4).
740
Let f = 73385 + -21722061/296. What is the common denominator of f and 91/296?
296
Let b = 295 - 312. Calculate the common denominator of ((-122)/(-26))/(-19 - b) and -103/12.
156
Let w = -6250 - -37427/6. Calculate the common denominator of w and 83/12814.
38442
Suppose -4*l = 8 + 8. Let b(x) = 6*x + 10. Let y be b(l). Let f = 21 + y. What is the least common multiple of f and 11?
77
Let a = -2/1276215 + 21185617/285872160. Calculate the common denominator of 61/44 and a.
12320
Let r = -115/7 - 1/14. Let n = -3422 - -106115/31. Let f = n + -2453/62. What is the common denominator of f and r?
2
Find the common denominator of -31/18 and 6 - (-12 + (-5)/(98480/(-354792))).
22158
Let p = 9767/1087127 - 8/991. Let i be 3/1*86669/19746. Let w = i - p. Calculate the common denominator of w and -69/8.
24
Let s(l) = -l**2 - 68*l + 1655. Calculate the lowest common multiple of s(-87) and 49.
98
Let i = 4433/8 - 548. Calculate the common denominator of i and 43/2369.
18952
Suppose 0 = -4*s - 76 + 108. Find the common denominator of (-2768)/(-2880) - 2/s and -31/45.
45
Suppose 70 = 4*d - 2*k, 5*d = 10*k - 5*k + 95. Suppose -d*a = -677 - 91. What is the smallest common multiple of 16 and a?
48
Let a = 498 + -497. Calculate the smallest common multiple of 95 and (a + 2)*36/27 - 3.
95
Let g = -5737/6 + 972. Calculate the common denominator of 33/206 and g.
618
Let f = 56549/2 + -12045071/426. What is the common denominator of f and (-12)/(-15) + (-854)/(-120)?
852
Let c = -19021169/18 - -1055828. Let n = c - -897. Find the common denominator of -62/39 and n.
234
What is the least common multiple of 135 and ((27/(-2))/3)/((-52505)/1500 + 35)?
1350
Suppose 0 = -17*u - 45844 - 4306. Let k = u - -53129/18. Find the common denominator of 41/14 and k.
126
Let r be (-19 + 18)/(1/(-398)). Let q = 424 - r. Calculate the lowest common multiple of q and 130.
130
Let r(t) = 556*t - 6662. What is the least common multiple of 600 and r(12)?
600
Let q(n) = -5*n**2 - 30*n - 16. Let p(g) = 6*g**2 + 33*g + 17. Let a(l) = -6*p(l) - 7*q(l). Calculate the least common multiple of 51 and a(8).
714
Let g(z) = -z**3 + 15*z**2 - 2*z + 33. Let c be g(15). Suppose 215 = 5*p + 5*q, -5*q = -c*p - 36 + 141. What is the least common multiple of p and 40?
40
Let a = 93 + -88. What is the smallest common multiple of 2 - a - (-42 + -6) and 30?
90
Calculate the common denominator of ((-2730)/(-11))/15 + -14 and 55/356.
3916
Suppose 57*v - 16*v - 2816 = 25*v. What is the least common multiple of v and 160?
1760
Let j = -5/111202 - -31137325/17013906. Let t = -19/34 - j. Find the common denominator of (7/224)/((-3)/258) and t.
144
Suppose -a + 2*a - 4*x + 8 = 0, 5*x - 7 = 2*a. Suppose 80 = a*r - 12*r. Find the common denominator of (2/(-8))/((-6)/12*r) and 49/6.
60
Calculate the common denominator of -113/550 and 2 + 14/(-385) - (0 + 3).
550
Let t = 9 + 12. Let w(b) be the second derivative of -b**5/20 + 2*b**4/3 + b**3/2 + 3*b**2 - 188*b. Calculate the smallest common multiple of w(8) and t.
210
Let w = -1003516075/161322 + -1779/7682. Let d = -6223 - w. Find the common denominator of 65/96 and d.
672
Suppose 6*g - 92465 = 1549. Suppose -3*a + g = -4*t, 5*t + 2*a = a - 19572. Find the common denominator of -27/2 and (-1 + (-22)/(-10))*t/1188.
22
Let z be (13 - -2)*(-16)/(-40). Suppose 3 + 183 = z*q. Let m = -29 + q. Calculate the least common multiple of 4 and m.
4
Let r = 96 + -57. Suppose 40*q = r*q - 83. Let f = q - -107. Calculate the smallest common multiple of 21 and f.
168
Calculate the common denominator of (-3128)/704 - (-6)/48 and 1/72.
792
Let u be (2/(-4))/(((-15)/(-40))/3). Let x be u*(-5)/70*7. What is the lowest common multiple of 3 and (x/2)/(4 + (-59)/15)?
15
Let i = 4455 - 3051. What is the common denominator of i/(-357) + 15/((-90)/(-24)) and -99/68?
476
Let w = -108 + 89. Let x = 11 - w. What is the smallest common multiple of 177 and x?
1770
Let p(j) = -25*j**3 - j**2 + j + 1. Let s(b) = b**3 + 30*b**2 - 6*b + 1880. What is the smallest common multiple of p(-1) and s(-32)?
24
Suppose 2*w - 4*b = 5 + 3, 2*w + 2*b - 8 = 0. Suppose -3*p = w*p - 147. Find the common denominator of (-7)/p - (2 - (-698)/(-132)) and 97/8.
88
What is the lowest common multiple of 258 and 16*(61 + -1) + -6 + (-2 - 6)?
2838
Let l = 265943/48 + -5540. Let b = 30804 + -1663489/54. Calculate the common denominator of l and b.
432
Let q = 2227 + -2093. What is the smallest common multiple of 9 and q?
1206
Let x = -65 + -34. What is the common denominator of 45/x*738/135 and -101/66?
66
Let p = 1011/783898 - -4/2347. Let h be -2 - (2 + 31040/(-7348)). Let x = h + p. Find the common denominator of x and -17/26.
286
What is the least common multiple of (0/4 + -162)*(-8)/16 and 99?
891
Let m = -3050683/121 + 25212. Calculate the common denominator of 23/693 and m.
7623
What is the smallest common multiple of 108 and 72/33*(-330)/(-60)?
108
Calculate the common denominator of (-9)/(-48)*(20/(-12))/(60/(-456)) and 8/2493.
19944
Let l(w) = w**3 + 34*w**2 - 95*w - 484. What is the smallest common multiple of 860 and l(-36)?
1720
Let a = 608181370400173/43824 - 13877815134. Let y be -1 - (3 - 3646/913). Let f = a - y. What is the common denominator of f and 69/10?
240
Let k(z) = -44*z - 1412. Calculate the lowest common multiple of 816 and k(-35).
6528
Let v(j) = 3*j**3 - 16*j**2 + 6*j + 2. Let l = 16 - 12. Calculate the least common multiple of 0 - 6*l/(-8) and v(5).
21
Let o(y) = -234*y + 72. Suppose -9*q = 2*q - 396. What is the lowest common multiple of q and o(0)?
72
Let s be 5/(120/6) - 1999. Let k = s - -110127/52. Let b = 7401/52 - k. Find the common denominator of b and 35/22.
44
Find the common denominator of ((-407)/234 - -2) + 18/(-81) and -83/60.
780
Suppose 23 + 1 = 4*f. Suppose 36*g - 198 = 27*g. What is the least common multiple of g and f?
66
Let o = -44 + 77. Let k be (-3)/(-3) - (-79 + (-3 - 1)). Suppose -2*i = -7*i + 5*p + 75, -k = -4*i - 4*p. Calculate the least common multiple of i and o.
198
Suppose 2*g + 10 = 8. Let m be 0 + 2 + 53/g. Let z = m - -55. What is the lowest common multiple of z and 4?
4
Let z = 1985/57 + -170027/4788. What is the common denominator of z and -19/924?
2772
Let q(j) = -2*j**2 - 60*j - 145. Calculate the least common multiple of 51 and q(-23).
3009
Let s = -11 - -21. Let a(f) = 30*f - 282. Let d be a(10). Suppose -26*y + d = -17*y. Calculate the smallest common multiple of y and s.
10
Let i = -98 - -106. Let t be 11 - i - (42 + 0). Find the common denominator of t/(-21) + (4 - -1) and 19/7.
7
Let r = -8813/968832 + 4/841. What is the common denominator of 27/16 and r?
1152
What is the common denominator of 111/28 and 4/(-22) - (482538/291060 + (-8)/10)?
252
Let q = 99789/47788 + -28/919. Let n = -216/155 - -4059/310. Calculate the common denominator of n and q.
260
Suppose 129*b - 107*b + 41 = 63*b. What is the lowest common multiple of b and 105?
105
Let v be (-7666076)/665504 + 48/(-56). Let x = 4/2971 + v. What is the common denominator of x and -77/80?
80
Suppose 49310 = -8*q - 29490. Let c be (-1)/(-4) - q/(-840). Let p = 62/7 - c. What is the common denominator of 38/27 and p?
27
What is the lowest common multiple of 140 and 356/2 + (-23 - -15)?
2380
Let v be (-8094999)/15 + (-5)/((-75)/(-6)). Let l be v/324 + 3/4. Let a = l - -3323/2. What is the common denominator of a and -5/18?
18
Let d = 5591/8 - 697. Let l = 257 + -224. What is the common denominator of (((-25)/12)/5)/(l/484) and d?
72
Let k = -239083/6 - -39871. Let w = -3031/3 - -1032. Find t