 common multiple of 7 and -20*(-3)/(-12)*(0 - p)?
35
Let r = 5701157/8 + -711482. Let q be 3 + 1 + 13815/12. Let d = q - r. What is the common denominator of d and -143/36?
72
Suppose -2*i + 289 = -5*q, 23*q - 19*q + 290 = 2*i. Calculate the least common multiple of 9 and i.
441
Let o(q) = -87*q**3 - 2*q**2 + 21*q - 11. Let n be o(-5). Let f = n + -2805729/262. Calculate the common denominator of 81/4 and f.
524
Suppose -12*l + 11*l + 106 = 0. Suppose -5*v + l = 36. What is the least common multiple of v and 10?
70
What is the lowest common multiple of 48 and (-38 - -58)*(-9)/(-15)?
48
Let t(g) be the third derivative of -g**5/15 + 5*g**3/3 - 4*g**2. Let h be t(-4). What is the common denominator of (-3 - -7)/(h/75) and -34/5?
45
Find the common denominator of -125/2058 and (3*(-4)/1890)/((-11)/((-14575)/(-140))).
6174
Find the common denominator of 67/216 and -2*1/(-3) + 323/(-288).
864
Suppose 0 = 23*p - 44*p + 210. Suppose p*m - 23*m + 130 = 0. Calculate the smallest common multiple of 121 and m.
1210
Calculate the common denominator of -10 + ((-10494)/(-81))/11 and (46/63)/(20/30).
63
Suppose h = -d + 4, d - 11 = -2*h + 2*d. Suppose -12 = -3*t + 4*l + 3, h*t - 20 = 5*l. What is the lowest common multiple of 6/(-18)*-75 + (-3)/t and 8?
88
Suppose 3*f - 2*f = 14. Suppose -3732*q = -4095*q + 2541. What is the least common multiple of f and q?
14
Suppose -2*k - 52 = -2*h, -2*k - k - h = 94. Let c = 27 + k. Find the common denominator of 77/6 and c/(-3 - -6) - (-148)/16.
12
Let w(z) = 7*z + 9. Let b be w(-1). Calculate the common denominator of (b/(-33))/((-8)/(-207)) and -3/2.
44
Suppose 256*b + 752 = 258*b. Calculate the lowest common multiple of b and 940.
1880
Suppose 4*o - j = -2*j - 144, 2*o = j - 78. What is the least common multiple of 8 and (40/(-3))/(o/111)?
40
Let q = -22/69 + 2411/276. Find the common denominator of 85/4232 and q.
12696
Let y = 19 + 31. Suppose 3844*c - 3500 = 3809*c. What is the lowest common multiple of c and y?
100
Let l = 101420 + -64612. What is the lowest common multiple of l and 12?
110424
Let k be (-4)/(-12)*(126 + (6 - 3)). Suppose 9 = -4*h + 25. Suppose 0 = -h*b - k + 47. Calculate the lowest common multiple of b and 7.
7
Let g = -119 - -404. Let r = g + -284. What is the least common multiple of 7 and r?
7
Suppose 4*d - 12 = 0, -13*d = -2*v - 18*d + 7691. Let q = v + -76743/20. Let m = 233/169 + -41219/18252. Find the common denominator of m and q.
540
Let w = -9593 + 335778/35. Find the common denominator of 69/110 and w.
770
Find the common denominator of (20272/570 + 60/1710)*(-2)/(-756) and -103/1512.
7560
Let h = 60619/8 + -7567. Let v = -783375335/42 + 18643229. Let i = v + 25706/3. What is the common denominator of h and i?
168
Suppose 0 = -4*z - 4*y - 16, z - 3*y + 16 = -3*z. Suppose -6*q - 116 = 100. Calculate the common denominator of -67/18 and 8/z + (-262)/q.
18
Let b(j) = -j**3 + 6*j**2 - 22*j + 1746. Calculate the smallest common multiple of 39 and b(0).
22698
Let f = 15420821/172 + -89656. Calculate the common denominator of f and 106/40 + 4/(-8).
860
Suppose -2*m - 124 = -2*g, 0 = -0*g - 3*g + m + 182. Let u(s) = s**3 + 8*s**2 + 7*s - 3. Calculate the smallest common multiple of g/18*(-180)/(-25) and u(-6).
216
Let z = -28239 + 30095. What is the smallest common multiple of z and 5104?
20416
Let c = 95252527/3373970460 - 1/3442827. What is the common denominator of 36/539 and c?
32340
Let g = 17649 + -847187/48. What is the common denominator of 10/(-16)*((-46580)/(-39456) + 5/(-9)) and g?
192
Let f = -127249997/216 + 589120. What is the common denominator of (2/(-36))/((-1)/122) and f?
216
Let h = -29 - -17. Let z = -589 - -595. Calculate the common denominator of (1 + 107/h)*z/15 and -37/8.
24
Let a = 87940 + -7738609/88. Calculate the common denominator of a and 49/48.
528
Let l(x) = 5*x**2 + 2*x. Let d be l(-2). Suppose 0 = -3*w + 9, d + 0 = -m + 5*w. What is the common denominator of -31/18 and 3*(-410)/(-45)*m/6?
18
Let n = -1/27348 - -758917/273480. Find the common denominator of -29/1220 and n.
2440
Let k be (4 - 1 - 6) + (-3)/3. Let m(s) = 3 + s**3 - 3*s**2 + 8*s**2 + 6*s - 3*s. What is the least common multiple of m(k) and 2?
14
Let j = 92 - 86. Suppose 0*s - 30 = -j*s. Suppose 0 = -2*i + s*r - 0*r + 34, 92 = 4*i - 4*r. Calculate the lowest common multiple of 27 and i.
27
Let y = -2729 - -3134. What is the lowest common multiple of 486 and y?
2430
Let b be (1*-118)/(-27 + -4). Let o = -1151/620 + b. What is the common denominator of o and -7/116?
580
Suppose 2*a + q - 710 = 0, 0 = 7*q - 2*q - 20. Let t = a - 346. Calculate the lowest common multiple of t and (0 + 12/9)*6.
56
Calculate the smallest common multiple of (24276/340)/51 + 2/(20/6) and 6494.
6494
Calculate the common denominator of -101/184 and ((-257094)/3384)/23 + 1*3.
8648
Suppose 5*v + 65 = 2*n, -v = 11*n - 8*n - 89. Let a = -35 + 50. What is the lowest common multiple of a and n?
30
Calculate the common denominator of 292*10/(-1600)*-10 and 21/241.
964
Calculate the common denominator of 115/572 and 1 - -10*1040/(-150)*(-4)/48.
5148
Let b be (-1126919)/54 - (-26)/26. Let t = b + 20870. Find the common denominator of -125/24 and t.
216
What is the common denominator of -94*(-6)/72*-3 and 19/218?
218
Let p be (30/(-4) - -6)/(2/1160). Let s be (-194038)/(-224) + (-18)/42. Let i = p + s. Calculate the common denominator of 55/32 and i.
32
Suppose 185*i = -59*i - 51379 + 165571. What is the smallest common multiple of i and 936?
936
Calculate the smallest common multiple of 198 and ((-108)/(11 + (-909)/81))/(0 + 1).
5346
Suppose -206*m + 201*m - 413 = -l, -1634 = -4*l + 2*m. What is the least common multiple of 3 and l?
408
Calculate the common denominator of (-1096)/(-1280) - (-8)/(-40) and (-1)/2 - 500/(-352).
352
Let w = -1550 - -1652. Calculate the smallest common multiple of 9 and w.
306
Suppose 51*i - 63*i = -48. Calculate the lowest common multiple of 45 and i.
180
Let f = -46 - -70. Let m(i) = -i**3 + 6*i**2 + 9*i - 2. Let q be m(7). Suppose q*r = 184 - 16. Calculate the lowest common multiple of f and r.
168
Let h = -69583/12312 - -944/171. Find the common denominator of h and 107/108.
648
Let x(g) = -g**3 - 19*g**2 - 35*g - 5. Let k be x(-11). Find the common denominator of 103/20 and (7 + 4107/k)/(12/(-62)).
1960
Let c(r) = 7 + 5*r**2 + r**3 + 4*r**2 - 8*r**2 - 12*r + 7. Calculate the lowest common multiple of c(3) and 74.
518
Suppose 2*z + r + 19 = 0, z + 8*r - 3*r + 23 = 0. Suppose 2*p + k - 3 - 7 = 0, -2*p = 5*k - 18. What is the least common multiple of (12/15)/(z/(-20)) and p?
4
Let i = 66/43 + 1499/172. Let s be 321*(4 - (-22 - 2)). Find the common denominator of ((s/8)/(-7))/27 and i.
36
Find the common denominator of 51/14 and (5 - 129/6)*(-39)/18187.
19586
Let a = -2939 + 9011/3. Let s = -56 + a. What is the common denominator of (-474)/(-9)*(-6)/(-16) and s?
12
Suppose -32*r + 2078 = -2978. What is the smallest common multiple of r and 1 - (0 - 5 - 0)?
474
Calculate the lowest common multiple of 210 and ((-39)/26 - 23*(-12)/(-1))*-2.
7770
Suppose -4*m = -z + 5*z, -4*m = -4*z + 24. Let a(t) = -t**3 - 10*t**2 - 14*t + 20. Let v be a(-8). What is the least common multiple of z + 9 + -1 + v and 15?
15
Let x be (-4)/14 - (-612)/(-63). Calculate the smallest common multiple of (-192)/(-60) + 2/x and 6.
6
Suppose -4*l + 26 = -3*l - 2*o, -5*l - o + 86 = 0. Suppose -14*j - 2*c + 124 = 0, -3*c + 693 = 4*j + 660. Calculate the lowest common multiple of j and l.
18
Suppose -19712 = -8483*c + 8467*c. Calculate the lowest common multiple of 560 and c.
6160
Let h = 2954 + -2922. Calculate the least common multiple of h and 184.
736
Suppose -2 = -t - 3*a - 1, t = -2*a + 1. Suppose 0 = 2*h - 3*h + 2415. Find the common denominator of h/(-92)*t/(-6) and -51/40.
40
Suppose -236*a + 82438 = -53929 - 68953. Calculate the lowest common multiple of 8700 and a.
8700
Let w = -84 + 87. Suppose w*u - 5 = 7. Let l(r) = 2*r**2 - r - 4. What is the least common multiple of l(u) and 15?
120
Let m(v) = 4*v**3 + 2*v**2 - 44*v + 44. What is the smallest common multiple of (-1)/(-1) + 1 + 16 and m(1)?
18
Suppose 0 = -4*y - 3*o + 33, -34*y - 2*o - 47 = -39*y. Let j = -21 - -36. Let m = 29 - j. What is the smallest common multiple