
Let u = 8299/5 + -25187/15. Find the common denominator of -3/1318 and u.
3954
Let q(g) = -45*g - 409. Let c be q(-9). Suppose 0 = 2*i - 51 - 21. Calculate the least common multiple of i and c - (3 - (4 - -9)).
36
Suppose -2*k + 7*k - 35 = -5*u, -3*k = -4*u. Suppose 0 = 2*i - 4, 2608 = -8*x + u*x - i. What is the common denominator of x/48 - (-1)/(-2) and -57/20?
40
Suppose 2*r - 5*p = 392, 3*r + p - 613 = -4*p. Calculate the smallest common multiple of r and 39.
2613
Suppose 3*f - 11 = -4*d + 13, -3*d - 9 = 0. Let h = 10 - -18. Calculate the lowest common multiple of f and h.
84
Let d = 44 + -40. What is the common denominator of -23/35 and ((-54)/d)/9*427/735?
70
Suppose 12 = -2*p - 2*p, -5*v - 2*p = -274. What is the lowest common multiple of 4 and (6/(-4))/((-7)/v)?
12
Let h be 10 - ((-5 - -8) + 6 - 4). Suppose -h*w + 70 = -4*w - p, 0 = 4*w + p - 255. Calculate the least common multiple of 4 and w.
260
Let o = -93 + 164. Suppose o + 37 = 3*i. Let s(c) = c**2 - 2*c. Calculate the lowest common multiple of s(6) and i.
72
Calculate the lowest common multiple of 12 and -15 + (21 - 9) + 655.
1956
Let t = -186601865/872 + 213993. Find the common denominator of t and -11/16.
1744
Let v = 983809807/1012 - 972144. What is the common denominator of v and -21/506?
1012
Let p = 25/6273 + 12911/100368. Calculate the common denominator of -1/410 and p.
3280
Let m be ((-6)/(-10))/(9 - (-356)/(-40)). What is the smallest common multiple of m/(-39) - (1 - 2025/65) and 183?
1830
Suppose 2*f - 125 = f + h, 0 = -5*f + 2*h + 616. What is the smallest common multiple of f and -2*-18*(-17)/(-68)?
1098
Let n = 174009/20 - 8705. What is the common denominator of n and 9/(-6)*(-110)/78 + (-61 - -63)?
260
What is the smallest common multiple of 52 and -7 - (438/(-12) + (33/6 - 6))?
780
Let o be (-2 - 10)/(12/40). Calculate the lowest common multiple of o/(-3) + (-5)/((-60)/(-16)) and 12.
12
Let a = -97 - -152. Let f(r) = 2*r**3 + 77*r**2 - 131*r - 432. What is the smallest common multiple of f(-40) and a?
440
Suppose -2*r + 4746 = -5*v - 928, 10 = 5*r. Let j be v/(-51) - 0 - 12/3. Let s = -1969/204 + j. What is the common denominator of s and 139/48?
48
Let l = -11610/19 + 23649608/38703. Let m = l - -386/2037. Calculate the common denominator of m and -58/77.
231
Let a(d) = 20*d**2 - 10*d + 13. Let c be a(20). Let n = -8653 - -173011/20. Find the common denominator of c/(-1950) + (-9)/(-3) and n.
300
Let h(s) = s**2 + 6 + 4 + 2 + 11*s. Suppose 2*g + 22 = -x - 0*x, -5*g - 3*x = 55. Calculate the smallest common multiple of 14 and h(g).
84
Let v = -8989/223508 + -21/787. What is the common denominator of -101/20 and v?
1420
Suppose -5*g + 2930 = -5*m, 0 = 23*g - 22*g - 4*m - 604. What is the smallest common multiple of 30 and g?
1740
Let x(y) = -131*y + 12952. Calculate the lowest common multiple of x(98) and 76.
228
Suppose -16*k + 18*k - 4928 = 0. Suppose k = 12*v + 2*v. Suppose s - v = -15*s. Calculate the least common multiple of s and 1.
11
Let v = -11828 - -165659/14. Find the common denominator of v and -149/6840.
47880
Let u = -6 - -12. Let h(c) = c**2 - 12*c + 130. Let n(v) = -3*v**2 + 25*v - 263. Let m(x) = 5*h(x) + 2*n(x). What is the lowest common multiple of u and m(-15)?
294
Let d = 3987 - 3919. What is the lowest common multiple of 9 and d?
612
Let a be 2 - (-4867)/6 - -1. Suppose 6*b - 7*b = 2*z - 810, -4*z - 4 = 0. Let j = b - a. What is the common denominator of j and 26/9?
18
Let m = 415/9 + -295/9. Calculate the common denominator of 49/674 and m.
2022
Let m = -6549 - -130903/20. What is the common denominator of m and 30/4*(6762/(-350) - -18)?
20
Suppose 2*w + 4*q - 12 = 4, 5*q + 25 = 0. Let n be 15619/(-1218) + -4*3/w. Let a = -2/203 + n. Calculate the common denominator of a and -61/2.
2
Let f = 11847 - 189633/16. What is the common denominator of f and (-4)/54 - 196/(-1512)?
144
Find the common denominator of (17/(-2754) - (-1)/(-6))/72 and -70/27.
2916
Let f(g) = 2*g**2 + 21*g. Let m be f(-12). Suppose 2*i = -4*x + m, 0*i = x + 3*i - 9. What is the lowest common multiple of x and 1/2 - 42/(-4)?
99
Find the common denominator of -41/1168 and 59*((-255)/(-3285))/17.
3504
Let l = 476 + -330. Let x = 322 - l. What is the lowest common multiple of x and 16?
176
Suppose 26 = 7*y - 44. Suppose 10*v = 14*v - 32. Calculate the least common multiple of v and y.
40
Let k(l) = 97*l + 21*l**2 - 34*l - 30*l - 21*l + 7 - 2*l**3. Calculate the smallest common multiple of k(11) and 10.
90
Suppose 304*t - 339*t + 175 = 0. Suppose -5*u - 5*v + 80 = -75, 2*v = 4*u - 148. Calculate the lowest common multiple of t and u.
35
Let o = 2109 - 6342. Find the common denominator of 145/18 and (-423)/6*(o/(-4239) + -1).
2826
Suppose -9*n + 4 = 22. Let h be -3 - (n + 8988)/((-2)/(-3)). Let q = -242605/18 - h. Calculate the common denominator of q and 103/48.
144
Let n(a) = a**3 + 4*a**2 - 56*a - 212. Suppose -5*z = 0, 0*o + 5*o - 5*z = 75. What is the smallest common multiple of o and n(-7)?
165
Let r = -43321 + 35090029/810. Find the common denominator of 82/189 and r.
5670
Let k(f) = f**3 - 10*f**2 - 13*f + 16. Let l be 1/((-3)/3)*-11. Let d be k(l). Calculate the common denominator of -1/10 and (d/(1440/365))/(-4).
960
Calculate the common denominator of -187/120 and ((-1)/40)/(12/492).
120
Let r = -3 - 6. Calculate the least common multiple of (2/6)/((-1)/r) and (1715 + -1713)/(2/3*1).
3
What is the least common multiple of 32 + -36 - ((6 - 1) + -35) and 8876?
115388
Let y be 0 + 6/(-9) + (-765)/27. Calculate the common denominator of -61/18 and (-518)/(-288) + y/261.
144
What is the common denominator of 8 - (14070/1071)/(0 + 2) and -15/221?
663
Let p = -1910 + 76377/40. Calculate the common denominator of 4/6*((-628)/(-160) + 5) and p.
40
What is the common denominator of -133/624 and 5 + 1407/(-70) - -13?
3120
Suppose 1191 = 33*o + 399. Calculate the smallest common multiple of 46/3 + (-1)/3 and o.
120
Find the common denominator of 3*(-3 + (-141)/27) and (-194)/(-180) + 1/5 - 192/128.
9
Let f = -8/2109 + -20131/67488. What is the common denominator of f and -95/288?
288
Suppose 2*x = -3*u + 9, -9 = 4*x - 2*u - 3. Find the common denominator of -19 and 6/15 + x + 5370/(-800).
16
Suppose 267 - 117 = 5*a. What is the least common multiple of 241 and (18/a*5 - -2) + 6?
2651
Suppose -2*a = 4*h - 640, 23*a - 28*a = -5*h - 1600. Calculate the least common multiple of 34 and a.
5440
Let s be ((-8)/(-12))/(92/30 - 3). Find the common denominator of 16/s*(-45)/(-513) and 121/190.
570
What is the least common multiple of 18 and (7 - 0/1)*25428/2282?
234
Let i be 5/1 + 1 + -1. Let f(u) = 45*u + 9. Let y be f(i). What is the common denominator of 43/14 and 929/y - 2*4/(-36)?
182
Suppose 0 = 3*u + 11*m - 8*m - 29092476, 2*u + 5*m = 19394987. Let p = -407271821/42 + u. Let z = 1607/3 - p. Find the common denominator of z and 133/36.
252
Suppose -5*c - 245 = -0*c. Calculate the common denominator of c and (-672)/(-900) + (-18)/15.
75
Let w = -9 + 11. Let q be (11/w - -2)*(-20)/(-25). What is the lowest common multiple of q*(-10)/(-6) - 3 and 1?
7
Let c = 7165 - 5987. What is the least common multiple of 434 and c?
8246
Let f = -21451/408 + 393/8. Let r = 2783/102 + f. Calculate the common denominator of 63/22 and r.
66
Suppose 774 = -2*l - 2*j, -l - 1157 = 2*l + 2*j. Let s = l - -389. What is the least common multiple of 44 and s?
132
Let g = -269 + 82. Let j = g + 203. Calculate the least common multiple of j and 12.
48
Let i(u) = u**3 - 13*u**2 + 17*u - 40. Let s be i(12). Suppose -2*x - 6*o = -s, -5*o - 24 = 5*x - 94. What is the least common multiple of x and 2?
16
Let x be (-4)/((-8)/(1 + 3)). Calculate the common denominator of 115/36 and ((-17)/14)/(x + 128/(-70)).
36
Let t be 0 + (-741)/(-102) + 2. Let i = t + -3931/272. Find the common denominator of 94/(-10) - -2*(15/20)/(-3) and i.
80
Let z(y) = -56*y - 3130. What is the lowest common multiple of z(-56) and 130?
390
Let x = 81019/149850 + -2/2997. What is the common denominator of x and 1/(-5)*(-16)/(-22)?
550
Let k(q) = 1466*q**2 - 4*q + 7. Let w be k(2). Let l = w + -175819/30. Find the common denominator of l and 50/69.
690
Suppose q - 20*d + 15*d - 496 = 0, 0 = 5*q + 3*d - 2480. Calculate the least common mult