 u(g) = -g**2 + 6*g + 8. Let x be u(8). What is the common denominator of 136/(-14) + (-5 - x) and ((-1)/(-6))/((-1)/68)?
21
Let x = -1870 + 33743/18. Suppose -31*k + 2*k - 116 = 0. Find the common denominator of x and (138/(-32) - k)*17.
144
Suppose 9 = i + 3*k, -4*i = -5*i + k + 29. Let f = -119/3 - -1133/30. Find the common denominator of f and (279/70)/1 - i/84.
10
Let s = -225 - -385. What is the common denominator of (18/s)/((-13)/(-156)) and -85/12?
60
Let m be 7*-1*(-96)/336. What is the smallest common multiple of 33 and m/(-12) + (-9503)/(-102)?
1023
Let g be 10/7*(1 - 6178/(-24)). Let b = g - 381. What is the common denominator of b and ((-3)/4)/(81/(-618))?
18
Let t = 36 + -51. Let m(c) = c**3 + 14*c**2 - 18*c - 3. What is the least common multiple of m(t) and 21?
42
Let t = 2324 - 62755/27. Let u(g) = g**2 + g. Let h be u(4). What is the common denominator of t and (-4)/54*1185/h?
54
Let d(k) = -2*k**3 - 5*k**2 - 16*k + 25. Let v be d(6). Let j = v + 4205/6. What is the common denominator of (-4)/2 + 246/28 and j?
42
Let b(z) = -z**3 + 3*z**2 + 40*z + 12. Calculate the lowest common multiple of (-40)/(-4*3/18) and b(-5).
60
Let c = -63431 - -119440581/1883. What is the common denominator of c and -32/269?
1883
Let q = 50150312199/230 - 218038724. Let n = q + -6112. What is the common denominator of n and -97/12?
1380
Suppose -3*w = -n + 62, -6*n - 60 + 356 = w. Calculate the common denominator of (48/364)/(n/(-315)*1) and -93/40.
520
Let k = -1489 - -1693. What is the least common multiple of k and 136?
408
Let q = -30/2623367 + -227254149/85589971742. What is the common denominator of 107/10 and q?
163130
What is the smallest common multiple of 26 and ((-510)/(-25))/((-141)/(-470))?
884
Suppose 183*n + 772 = 2236. Calculate the least common multiple of n and 16.
16
Let f be -5 + (9 + -17)/(-8). Calculate the common denominator of -1 + (-115)/(-12) + -1 and (-8550)/(-1512) + f/7.
12
Let s(m) = 3*m**2 + 6*m + 84. Let x be s(12). Let g = x + -587. Calculate the smallest common multiple of g and 23.
23
Let y = -54 + 54. Suppose 2*i + y*x = 4*x + 24, 2*i - 2*x - 14 = 0. Suppose -l - i*k = -k - 150, 4*l + k = 588. Calculate the lowest common multiple of 6 and l.
438
Calculate the common denominator of -161/2250 and (-82)/450*212/(-742).
15750
Let l be (-16)/(-256)*-12 - (-118)/8. Suppose -b - l*k + 9*k + 8 = 0, -k = 5*b - 64. Calculate the least common multiple of b and (-3)/((-10)/(-6) + -2).
117
Let k be (-5)/10 + 138/(-4) - 1. Let d = k - -69. Calculate the lowest common multiple of 39 and d.
429
Let x = -25 - -45. Suppose -104 = -19*v - 47. Calculate the least common multiple of (-18)/(-4)*x/3 and v.
30
Find the common denominator of ((-1)/(-3))/(112/1824) and 53/91.
91
Let w(t) = 18*t + 352. Calculate the smallest common multiple of w(-18) and 1344.
1344
Let h = -105/53 - -14229/7102. Let g = -6983/670 + h. Find the common denominator of g and 13/(-10) + (4/(-2))/(-2).
10
Let q = 1173 - 1117. Calculate the least common multiple of q and (-32)/64 - ((-17)/2 - -1).
56
Let f = -1/377571 - 4279135/1132713. What is the common denominator of f and 3/(69/2)*18?
207
Let b = 55381/1360 + -698/17. What is the common denominator of 53/1568 and b?
7840
Calculate the smallest common multiple of ((-5)/(75/(-153)))/(8/880) and 918.
10098
Suppose r - v = 9, -5*v - 16 = -3*r + 17. Let b(j) = 28*j - 160. What is the smallest common multiple of 32 and b(r)?
32
Let l = -10877 - -13137. What is the least common multiple of 452 and l?
2260
Let f = -40 - -6. Find the common denominator of f and ((-126)/(-240))/(550/136 - 4).
10
Suppose -190*g + 188*g + 161 = 5*v, 320 = 5*g - 4*v. What is the least common multiple of 90 and g?
3060
Suppose 3*o = -4*l + 28, 4*l - 5 = 5*l. Suppose 11*z - o = 15*z. Calculate the smallest common multiple of (-91)/z - 100/(-80) and 30.
120
Let k = 147/2 + -445/6. Suppose 0 = -5*a - 5*p + 102 + 28, -2*p + 4 = 0. Find the common denominator of (-226)/a - (-12)/3 and k.
12
Let o = -30 + 60. Let s = 173 + -113. Suppose -51*z + 56*z - s = 0. What is the lowest common multiple of z and o?
60
Let c be 33/11 + 122318/2948. Let k = -6/737 - c. Let o = -22237/16 + 1394. Find the common denominator of o and k.
16
Suppose 4915*m = 4883*m + 36768. What is the smallest common multiple of 18 and m?
6894
Let z(b) = b + 2. Let s be z(-5). Let o(q) = -5*q + 1. What is the least common multiple of o(s) and -339 - -414 - (-2 + 65)?
48
Let z = 222 + -4. Let i = -208 + z. What is the smallest common multiple of 8 and i?
40
Let c be ((-245)/(-150) + -2)/((-3)/(-4689)). Let u = -575 - c. What is the common denominator of 1/158 and u?
790
Suppose -2*t = 3*h - 1432, -5*h + 3*t + 1839 = -573. What is the least common multiple of 105 and h?
3360
Let l = -9437 - -9471. Let i = 30 - 53. Let z = -13 - i. Calculate the lowest common multiple of z and l.
170
Let g = -30/227 - -8939/4086. Calculate the common denominator of g and 64/729.
1458
Let r(f) be the second derivative of -f**5/10 + 17*f**4/12 - 3*f**3/2 - 6*f**2 + 66*f. Calculate the smallest common multiple of 45 and r(7).
360
Let n = 4774 + -1680. What is the least common multiple of n and 2?
3094
Let i = 4791049615/36 + -133094479. Let t = i + 9770. What is the common denominator of t and -83/18?
36
Let n = 39845/83856 + 7/1747. What is the common denominator of (-78386)/(-17248) + (-1)/(-7) and n?
48
Let v = -1681 + 84037/50. What is the common denominator of -2*1513/(-2975) + -6*2/14 and v?
50
Find the common denominator of -21/20 and (-1113)/(-378)*14/(-105).
540
Let c = -87370/1629 + -388/181. Let j = 4723/90 + c. Calculate the common denominator of 61/12 and j.
60
Let i be (-4 - 2)/(-6) - -2. Suppose -n = -i*n + 18. Calculate the lowest common multiple of 30 and n.
90
Suppose 7*j + 53*j = 407 + 613. What is the least common multiple of 1394 and j?
1394
Let y(w) = w**2 + 6*w - 8. Let z be y(-7). Let q be (-382925)/(-200) + z/8. Let u = q + -1871. What is the common denominator of 2/25 and u?
50
Let v = -13172 - -60311. Let f = -58/19 - -1367/342. Calculate the common denominator of f and 2/21 - v/(-11970).
90
Let t = -226 + 157. Let v = -103 - t. Let p = v + 37. Calculate the smallest common multiple of 11 and p.
33
Let i be (2794742/(-45))/(-2 - (-80)/39). Let l = i - -1210301. Let j = l - -752. Find the common denominator of 38/21 and j.
105
Let v = 823 + -3267/4. Let m = 2674 + -1543. Let b = m - 13547/12. Find the common denominator of b and v.
12
Let u = -34115/48 + 4277/6. Calculate the common denominator of u and 101/48.
48
Let t = -4875353/54 - -90287. What is the common denominator of t and (-262)/(-144)*2*(-20)/(-80)*-2?
216
Let u(t) = 22 + 17 - 14*t**2 + t**3 + 11*t - 10. Let m be u(13). Let h = 5 - m. What is the least common multiple of 15 and h?
30
Let s = 1190/103 + -96995/9064. Find the common denominator of (2 - 9) + (-14)/16 and s.
88
Let i(n) = -n - 17. Let o be i(-13). Let m be 2 + o - (14040/(-3508) - -2). Let t = m + 53481/7016. Calculate the common denominator of t and 51/8.
8
What is the common denominator of -103/112 and ((-21)/75411*153)/(8/6)?
2128
What is the common denominator of ((-118)/(-63189))/((-480)/(-2212)) and 145/10098?
100980
Find the common denominator of 34/297 and (-4*(-6 + (-286)/(-48)))/((-13)/(-201)).
7722
Calculate the common denominator of 1/14 and (-44616)/5346 - 3/(-7) - -8.
1134
Let s = 49 + -209/5. Let y be (1/(-2))/(18906/92). Let j = -20539/4521 + y. Find the common denominator of s and j.
55
Let j = -54 + 165. Suppose -j = -5*y + x, y - 6*x = -5*x + 23. Let u(a) = -a**3 + 22*a**2 + 4. Calculate the smallest common multiple of 46 and u(y).
92
Let b(r) = -r**3 + 2*r**2 + 9. Let v be b(0). Calculate the least common multiple of 30 and (-2)/(2/(-3)) + 288/v.
210
Let m = 23970/59 + -27561783/67850. What is the common denominator of m and -127/2070?
10350
Let m = 466 - -38. What is the common denominator of 2811/m - 2/7 and 38/24*1/1?
24
Let b(p) = p - 2. Let a be b(6). Let t(l) = 8*l + 1. Suppose 3*r - 2*g = 15, -47*g = 5*r - 42*g. What is the least common multiple of r and t(a)?
33
Suppose 4*t - 5816 = -4*d, 4*d - 3*t = -29 + 5817. Calculate the lowest common multiple of d and 290.
1450
Let z = 18 - -1. Let i = 59 - z. Suppose 8*f - 4*h - i