13
What is the common denominator of (17/(-360))/(4/(-28)*7) and 127/120?
360
Suppose r = 4*b + 535, 0 = 3*b - r - 3*r + 398. Let k be (-1107)/(-5) + (416/(-40) - -11). Let c = b + k. What is the least common multiple of 18 and c?
792
Suppose -2*x - 5 = f, 0 = -3*f - 2*x + 3*x - 8. Let v be (2039/2)/(2 + f). Let h = v - -1060. What is the common denominator of h and 61/4?
4
Let n be (2/(-13))/(3 + (-46)/14). Let h = -17/104 + n. What is the common denominator of h and 2?
8
Suppose 102*r = 53*r - 92*r + 592200. What is the smallest common multiple of r and 250?
21000
Let k(i) = 30*i**3 + 4*i**2 - 9*i + 8. Let n be k(2). Suppose -5*u = -z - 2*z - n, -3 = -z. Calculate the smallest common multiple of u and 3.
51
Suppose 5*s + 42 = 3*g, -8*s = -g - 12*s - 3. What is the smallest common multiple of 160 and g?
1440
Let y = -3665/483 - -249/23. Find the common denominator of -13/93 and y.
651
Suppose c - 5 = -4*c. Let u = -12370 + 12393. What is the smallest common multiple of -11*c*(-1 + 0) and u?
253
Let z = 211 + -227. What is the common denominator of ((-106)/110 + z/40)/2 and 71/22?
22
Let g be (-9857027 + 84)*(6/(-260))/3. Let o = g - 75822. Find the common denominator of 127/18 and o.
1170
Let y(b) = -b**3 + 10*b**2 - 19*b + 155. Suppose -4*f + 37 = g, f + 3*g = 3*f - 15. What is the lowest common multiple of 50 and y(f)?
650
Let m = 28 - 567. Let w = m + 3107/6. Let g = 2/1711 - -46177/17110. Find the common denominator of g and w.
30
Let q = 427124/93 - 13778/3. Calculate the common denominator of 58/287 and q.
8897
Let z be (-4532)/18 + 8/(-36). What is the common denominator of 133/6 and ((-1403)/z - 2) + 24/42?
36
Let n be 65/(-26) - (-324)/165. Let y = n + -103/11. What is the common denominator of y and (-1)/(-40)*-18 + 3/(-1)?
20
Let x = 155/20298 - 77552/2107609. Calculate the common denominator of x and -71/4.
7476
Calculate the common denominator of (-13)/(273/(-14)) + (-511)/(-525) and -53/1035.
5175
Let r = -6467/1504 + 230/47. What is the common denominator of r and -43/244?
1952
Let h = -140323/7520 + 2989/160. Calculate the common denominator of h and 610/12 + 2/(-6).
94
Find the common denominator of -71/609 and 7/6*(4 + -2)/((-551)/(-38)).
609
Let j = 12980709/460 + -28219. What is the common denominator of 69/20 and j?
460
Let w(z) = 12*z**2 - 141*z + 13. What is the lowest common multiple of 56 and w(12)?
392
Let o be (22/(-33))/(6/27). What is the smallest common multiple of -1 + o - (-15)/3 and 3?
3
Suppose 5*m = -0*m + 35. Suppose 0 = -2*i + 5*j + 65, 5 = -26*j + 25*j. Calculate the least common multiple of i and m/21 + 70/6.
60
Let b = 23013 - 414125/18. Calculate the common denominator of -3 - 2 - 1/(-4) and b.
36
Let f = -204/43 + 5329/516. Find the common denominator of 170/(-187) - 5*(-4)/(-24) and f.
132
Let p = 31478 - 31470. Calculate the lowest common multiple of p and 234.
936
Find the common denominator of -4 - (57/(-399) + (-477)/91) and 2/(-6) + 100/24.
78
Find the common denominator of -109/1404 and (3 - 428/48)/(-45).
7020
Suppose -476 = -70*v + 66*v. What is the least common multiple of 119 and v?
119
Let y = 12417/38 + -327. Let q = 318/19 + y. What is the common denominator of q and -16/71?
142
Let o = -464897/48 - -9688. Calculate the common denominator of 97/1674 and o.
13392
Let j = -1601570004643825/12 + 4277564457771222032873/32050284. Let p = -7/763102 + j. Let f = 3794 + p. Find the common denominator of f and 16/5.
70
Let q(x) = x - 16. Let p be -4 - (27 + 20/(-5)). Let z be q(p). Let w = 49 + z. Calculate the least common multiple of w and 62.
186
Let z(l) = 6*l**3 - 9*l**2 - 6*l - 10. Let m be z(6). Suppose -18*w + m = -1846. What is the smallest common multiple of 140 and w?
1540
Let o(r) = r**2 - 5. Let d be -4 - ((-5 - 2) + 9 + 4). What is the least common multiple of 2/16*6*(-2 - d) and o(4)?
66
Let f = -43176 - -27897. Let y = 550163/36 + f. Calculate the common denominator of y and -83/84.
252
Let o be (-73)/70 + 13 + -12. Let t = -199/1890 + o. Let m = 4748/5 - 114607/120. Calculate the common denominator of m and t.
216
Let h = -2/3433 + 37791/48062. Find the common denominator of h and -47/1038.
7266
Let h = 33/17 - 211/170. Calculate the common denominator of 39/380 and h.
380
Suppose 237*v - 10267 = 34526. What is the least common multiple of 189 and v?
189
Find the common denominator of -95/2 and 20 - (2833389/15742)/9.
15742
Let s = -173434/33 - -5256. Let o = 4518/149 - 113791/4023. What is the common denominator of o and s?
297
Find the common denominator of (-24)/(-33696)*534 - 6/(-27) and 8/73.
5694
Suppose 2*f + 27 + 0 = -3*n, 4*f - 4*n + 84 = 0. Let m = 3 - f. Calculate the least common multiple of 9 and m.
63
Let g(i) = -3*i**3 - 61*i**2 - 16*i + 46. Let z(p) = 2*p**2 - 5*p + 6. What is the least common multiple of g(-1) and z(4)?
36
Let y(b) = 2*b**3 - 17*b**2 - 9*b + 234. What is the smallest common multiple of 814 and y(11)?
8140
Let j = -13/20 - -487/280. Find the common denominator of j and -81/704.
4928
Let d(v) be the second derivative of v**4/12 - v**3/2 + 5*v**2 + 4*v. Calculate the smallest common multiple of d(4) and 70.
70
Suppose -4*h - 16 = 0, -h - 52 = -0*o - 4*o. Calculate the least common multiple of 1012/138*2/((-4)/(-6)) and 532/o - 3/9.
44
Suppose 2*l = 4*l - 10. Let j = 41 - l. Let v = -21008 - -21014. Calculate the lowest common multiple of v and j.
36
Let y = 3373 + -3352. Suppose 0*f + f - 33 = 0. What is the lowest common multiple of y and f?
231
Let b = 309902/232431 + 2/77477. Suppose 5*j = 4*m + 4 - 0, 3*m - 3*j + 3 = 0. What is the common denominator of b and (4/(-11) - -1)/m?
33
Let b(n) = -1208*n + 7288. What is the smallest common multiple of b(6) and 64?
320
Let y = -2977/2365 - 218/215. Find the common denominator of y and 77/838.
9218
Suppose 6*i - 22060836 = 4*i. Let w = i + -2537018147/230. Let h = 1950/23 + w. Find the common denominator of 103/56 and h.
280
Let n(d) = -d**2 + 35*d + 255. What is the smallest common multiple of n(-6) and 312?
936
Let a(b) = -7*b - 24. Let c be (-4 - -4) + -4 - -4. Suppose -1 = f + 5*v - 20, c = 5*f + 4*v + 10. What is the smallest common multiple of 6 and a(f)?
18
Suppose -d - 4*c = -29 - 77, -5*d - 5*c + 575 = 0. Let b = 161 + -251. Let t = b + d. Calculate the lowest common multiple of 48 and t.
336
Let r = 14351067/116 - 123717. Calculate the common denominator of r and 66/(-8)*2*(6/(-4))/(-1).
116
Calculate the common denominator of (-3)/(-15) + 7/((-6160)/(-2584)) and -3 - 274/24 - -2.
132
Let m be 136/36 + 2/9. Suppose m*p = -15 - 81. Find the common denominator of -29/2 and 6/p - 101/(-28).
14
Let i = -56 - -61. Suppose -55*t + 14*t = 24*t - 715. What is the lowest common multiple of t and i?
55
Suppose 1 + 67 = -4*p. Let j = 28 - p. Suppose -25*h - j = -28*h. What is the least common multiple of h and 18?
90
Let j(f) = 3*f**3 + 68*f**2 - 26*f - 45. What is the least common multiple of j(-23) and 324?
648
Let m = 2888 - 2641. Calculate the least common multiple of 57 and m.
741
Let h(v) = 3*v**2 - 127*v + 117. What is the smallest common multiple of h(45) and 371?
3339
Suppose 2*k - 5 = 5. Suppose -13 - 19 = -62*c - 32. Suppose c = -k*h + 31 + 49. Calculate the common denominator of h and 35/3.
3
Suppose -4*b = -i - 98, i = -5*b - 0*i + 127. Let s = 35 - b. Let f(z) = -3*z**2 + 102*z + 24. Calculate the smallest common multiple of s and f(34).
120
Let r be (-12067)/(-44) + (-1)/4. Suppose -r = -n + y - 5*y, 2*n = -3*y + 543. What is the lowest common multiple of 14 and (n/65 - 4) + (-72)/(-39)?
14
Suppose 426*x - 31 = -d + 430*x, -2*x + 107 = 3*d. Suppose 8*l - 6*l - 10 = 0. Calculate the smallest common multiple of l and d.
35
Let w(y) = -y**2 + 29*y - 97. Let t be (-1 - -24 - -7) + -5. What is the least common multiple of 154 and w(t)?
462
Let z be 4 + (7 - (6 + -4)*-1). Find the common denominator of (-76)/(-18) - (z + 81/(-6)) and -169/84.
252
Suppose 2*d - 8 = -2*d. Let p = 414 - 1408. Let r = 1030 + p. Calculate the least common multiple of r and d.
36
Let h = -2321/12 - -43001/222. What is the common denominator of h and 99/4?
444
Suppose -5*y = 4*r + 1089 + 555, -4*y = 3*r + 1233. Let k = -1252/3 - r. Find the common denominator of 988/48 - -4*1/(-12) and k.
12
Suppose 1000 = r + 3*v