Calculate the common denominator of -121/564 and n.
1128
Suppose -25 = -2*g - 5. Let p = -122263 - -122265. What is the least common multiple of p and g?
10
Suppose -c + 461 = 32*y - 21*y, 0 = -c - 1. Calculate the smallest common multiple of 24 and y.
168
Let u(n) = 39*n**2 + 2*n + 18. Let v be u(-3). Let g = 368 - v. Suppose -4*h - 152 = -8*h. Calculate the least common multiple of g and h.
190
Let g = -53961415/1003 - -53800. Calculate the common denominator of -9/413 and g.
7021
Find the common denominator of 16 - (24204/936 - 10) and -9/13.
78
Suppose -85*y + 193 = -487. Let l(m) = 36*m - 4. What is the least common multiple of y and l(1)?
32
Calculate the smallest common multiple of 2530 and -4*(-1 + 0) - 13/(-28 + 15).
2530
Let r = 72/12244039 - 53164232722/104649801333. Let c = r + 6/259. Find the common denominator of c and 13/24.
264
Let z = 24149/2390 - 1/239. Calculate the common denominator of (-9 - -9) + (-8)/(-6) + -1 and z.
30
Let j = -7 - 47. What is the common denominator of -86/105 and ((-333)/j + -6)*(-510)/(-8)?
840
Calculate the lowest common multiple of (-1 - (-1658)/6) + 126/189 and 46.
276
Calculate the lowest common multiple of (-6290)/(-20) - (42/(-35))/(4/5) and 334.
52772
Let d = 247/34 - -37/85. Calculate the common denominator of d and 61/672.
3360
Let y = -1748 + 31537/18. Find the common denominator of y and 79/14326.
128934
Find the common denominator of 29/96 and (1807/(-312) + 6)*(-58)/224.
2688
Suppose -213*i + 87208 = -108*i - 60632. What is the lowest common multiple of i and 320?
7040
Let g(l) = 19*l - 29. Let u be g(1). Calculate the lowest common multiple of 172 and ((-15)/u)/(2/8).
516
Let y(t) = -9*t**2 - 84*t - 89. Let k(v) = -6*v**2 - 56*v - 59. Let x(r) = 8*k(r) - 5*y(r). What is the lowest common multiple of x(-7) and 392?
4312
Let n(y) = -8*y**3 - 12*y**2 - 14*y + 36. Calculate the least common multiple of n(-7) and 9.
20610
Suppose -b = 2*t - 25, -23969*b + 23965*b + 3*t = -45. Let w(n) = -30*n. Calculate the lowest common multiple of w(-1) and b.
30
Let c = 9 - -24. Let v = c + -37. What is the least common multiple of (v/(-5))/((-5)/(-75))*1 and 36?
36
Suppose 43*k - 40*k - 9 = 0. Suppose 89 + 88 = k*l. Let r = -41 + l. Calculate the smallest common multiple of 20 and r.
180
Calculate the common denominator of 265/(-53) - ((-4989)/1782 + -2) and 97/270.
2970
Let c = 2/240913 + 2410816385/722739. Let o = c + -3530. Let d = o - -545/3. Calculate the common denominator of -5/34 and d.
102
What is the common denominator of 56/93 and (-4736)/104 + 46 + 3061/(-8970)?
21390
Let k = -1490768 - -3345283285/2244. What is the common denominator of k and 133/1056?
17952
Let k = -5 + 5. Suppose k = 2*o - o - 2*m - 20, 5*o + 2*m - 160 = 0. Suppose -377*r = -363*r - 420. Calculate the lowest common multiple of o and r.
30
Let g(s) = 26*s**2 + 0*s**3 - s**3 + 133 - 130. Let c = 36 - 10. Calculate the lowest common multiple of g(c) and 6.
6
Let g(b) be the first derivative of b**4/4 - 7*b**3/3 - b**2/2 - 15. Let q be g(7). Let l(u) = 9*u + 84. Calculate the least common multiple of l(q) and 27.
189
Suppose -3*l + 82 = 5*m, 0 = -2*m - 3*l + 56 - 16. Calculate the smallest common multiple of m and (60/40)/(1/4).
42
Suppose 0 = -3*u - 0 + 27. Suppose -8*g - u = -9*g. Calculate the least common multiple of 51 and g.
153
Let m be (-2)/(-4) - 4237/9310. Let r = -589/196 - m. What is the common denominator of (116/16 - 4) + 1/(-2) and r?
20
Calculate the common denominator of 16154/(-37884) - 1/(-22) and 131/654.
4578
Let m = 195 - 193. Calculate the lowest common multiple of (0/m)/2 + (-2 - -58) and 32.
224
Let v = 7919993293/3412279712 + -3/4270688. Let k = v - 210/47. Calculate the common denominator of -26/3 and k.
102
Let w(t) = 2*t**3 + 3*t**2 - t - 4. Suppose -36 + 30 = -3*v. Let q be w(v). Suppose 2*c - q = -8. Calculate the lowest common multiple of c and 34.
238
Let q = -2/3553163 - 302014103/8442315288. What is the common denominator of q and 151/24?
2376
Let s be 2 + -1 + 0 + 3. Suppose s*z + 5*a - 144 = 0, a - 72 = -2*z - a. Let r(n) = -86*n - 136. What is the smallest common multiple of z and r(-2)?
36
Let k be 1 - 20/(-5) - 11. Let d(y) = 2*y**3 + 13*y**2 + y - 5. Let f be d(k). Calculate the common denominator of f/14 + -17 + 16 and -13/20.
140
Let k = -916 - -913. What is the smallest common multiple of 6 and ((-374)/(-6))/(k/(-9))?
1122
Suppose 2781 = 27*q - 4023. What is the smallest common multiple of q and 24?
504
Suppose 4*v + 145 = 2*o + o, -4*o + 215 = -v. What is the lowest common multiple of o and 2*-27*((-11)/33 - 3)?
1980
Find the common denominator of 59/154 and ((-7)/924)/(-4 + 1630/405).
616
Suppose 0 = -10*k + 12*k. Suppose -4*w + 105 = 5*o - 199, -3*o + 12 = k. Let u = -64 + w. What is the lowest common multiple of 15 and u?
105
Let z(i) be the first derivative of i**4/4 + i**3/3 - i**2 + 384*i - 20. What is the least common multiple of 2 and z(0)?
384
Suppose g - 5*t = -3*g - 139, 0 = g - 4*t + 32. Calculate the lowest common multiple of 72 and (-3232)/g - 14/(-63).
360
Let s(b) = 4*b**3 - 39*b**2 + 13*b + 26. Calculate the lowest common multiple of s(11) and 258.
774
Let w = -323 - -493. Let g = 171 - w. Let i = -14 - -23. What is the lowest common multiple of i and g?
9
Let y = 3 - -4. Let s be 28/6*(y - 539/14). Let l = -127 - s. Calculate the least common multiple of 40 and l.
40
Suppose 4*k + 1 - 5 = 0. Let r be ((-1632)/(-170))/(2/5). Suppose -25*b = -b - r. What is the lowest common multiple of b and k?
1
What is the common denominator of ((-7)/(-14))/((-110)/710) and 173/60?
660
Suppose 19*r - 22*r = -3. What is the common denominator of 1288/(-288) + 1 + (5 - r) and 31/24?
72
Calculate the common denominator of 55/1686 and 81120/125888 + 12/(-21).
1686
Let n(d) = d**3 + 9*d**2 - 16*d - 4. Let v = 31 - 42. Let t be n(v). What is the common denominator of (-908)/t + 40/(-70) and 37/45?
45
Let c = 5351 - 3063. Let s = -6802/3 + c. Find the common denominator of s and (-2)/7 + 15/7.
21
Suppose 4*x + 8 - 20 = 3*o, 15 = 5*x - 5*o. Suppose -12*y = -11*y - 15. What is the least common multiple of x and (1*-2)/(y + -16)?
6
Suppose 14 + 10 = 2*j. Let s be (384/(-135))/(j/(-10)). Let y = s + 1175/108. Find the common denominator of y and 119/18.
36
Let f(c) = 15*c**3 - 2*c**2 + 2*c - 1. What is the lowest common multiple of f(1) and 13 - ((-12)/14)/((-13)/((-182)/4))?
112
Find the common denominator of ((-61)/(-183))/(112/(-194)) and 67/2.
168
Let d be (-1 - (-1)/1)/1 - -351. Let w = 373 - d. What is the least common multiple of 10 and w?
110
Calculate the common denominator of (-23396)/(-5904) + 24/(-3)*(-18)/(-36) and -3/1312.
11808
Suppose h - 490 = -4*h. Let v = 170 - h. Calculate the common denominator of (-6 - 498/v)*(-4)/(-10) and 25/9.
18
What is the smallest common multiple of ((-2142)/(-17))/7 + -3 and 22?
330
Suppose 0 = 69*t + 59*t - 6656. What is the smallest common multiple of 94 and t?
2444
Let h = -6115/2 - -360737/118. Let o = -422 + 197. Find the common denominator of ((-270)/o)/(28/(-30)) and h.
413
Let o(c) = c**2 + 70*c - 771. What is the smallest common multiple of 708 and o(-101)?
7080
Find the common denominator of 3/(-6)*4920/626 + (-16 - -20) and -46/11.
3443
Suppose 14*w + 834 - 1002 = 0. What is the smallest common multiple of 246 and w?
492
Let q be (-2 - (-86649)/6)/(-3). Let m = 4792 + q. What is the common denominator of (-1868)/467 + (308/6)/(12/2) and m?
18
Suppose -3*f + 91 = 5*v, 9*v + 31 = 11*v + 3*f. Suppose -3*w + 1108 = -116. Calculate the lowest common multiple of v and w.
2040
Let j = -209 - -1261/6. Let h = 737830 + -171176575/232. Find the common denominator of j and h.
696
Let n = -8380238909/4765 - -1758707. Calculate the common denominator of n and 27/5.
4765
Let u = 57229/30740 - 18/1537. What is the common denominator of u and -5*13/(-2080)*(-218)/(-18)?
1440
Let h be 17613/(-324) - (-10)/(-2). Let b = -63 - h. Calculate the common denominator of b and 15/16.
144
Let k = -2235 + 84913/38. Suppose -83 = 2*d + 9. What is the common denominator of k and d?
38
Suppose 305 = 5*s + 12675. Let z = -27239/11 - s. Calculate the common denominator of 29/10 and z.
110
Let u = 11481/2 + -5731. Calculate the common denominator of 91/30 and u.
3