of 13 - 18 - (-4)/((-1200)/(-1719)) and -133/60.
300
Let t be 15/(2/8 - 9/180). Suppose -t - 153 = -57*u. Let j = -3 + 7. What is the least common multiple of u and j?
4
What is the common denominator of (-16482)/4059*3/(-220) and -57/440?
4840
Find the common denominator of 1664/(-19072)*(2/(-5) - 14/15) and -61/3.
447
Let z(d) = d**3 - 59*d**2 + 128*d - 795. What is the least common multiple of z(57) and 147?
147
Let m = 186 + 24. Calculate the common denominator of 1214/m + 4/14 and -41/4.
60
Suppose -5 = b + 4*b. Let i(p) = -32*p**3 + p**2 + p + 1. What is the common denominator of i(-1) and 8/36 + -1 + (b - -1)?
9
Let w be -1 + 1 + 3 - 37853669/59094. Let h = w - 2630/603. Let q = h + 645. Calculate the common denominator of q and 65/12.
84
Let z = -3584 - -3590. Calculate the least common multiple of 21 and z.
42
Let r = -13187 + 290043/22. Let k = -283/12 - -24. Find the common denominator of k and r.
132
Let l(b) = -b**2 + 10*b - 8. Let f be l(10). Find the common denominator of 2/f + (-378)/180 and 101/242.
2420
Let o be 2 + (-56)/21 - 643/3. Let i = o - -1062/5. What is the common denominator of -34 and i?
5
Let b(z) = 4*z**2 - 7*z + 4. Let v be (-8)/4*(-3 + 2). Let d be b(v). Calculate the common denominator of (-18)/12*(-104)/d and -13/2.
2
Let n(r) = -r**2 + 61*r + 4. Calculate the least common multiple of 20 and n(4).
1160
Let o(h) = -4*h + 27. Let v be o(7). Calculate the common denominator of (-1940)/(-8)*2/(-310) and (294/224)/(((-9)/42)/v).
248
Suppose -242 = -8*w - 3*w. Suppose w*b = -9 + 1131. Calculate the lowest common multiple of b and 135.
2295
Find the common denominator of -73/8451 and (-28)/54 + 37/(370/(-20)).
8451
Calculate the common denominator of (11/8)/(6/(12/10)) and -91/384.
1920
Suppose 2*i + 3*d = 1919, 3594 = 5*i - 5*d - 1141. What is the smallest common multiple of i and 680?
4760
Let k = -438 + 303. Let o(n) = -n**3 + 45*n**2 - 98*n + 653. Let g be o(43). Let l = g + k. What is the least common multiple of 12 and l?
12
Let x(w) = -6*w - 22. Let s = 39 + -46. Let a be x(s). Suppose 0 = 4*t - 40 - a. What is the common denominator of 119/18 and t?
18
Let s = -556 - 732. Find the common denominator of ((-43)/22 - -3) + -2 and -4 + ((-7620)/s - 2/7).
506
Suppose 0 = -34*f - 59*f + 27528. Calculate the least common multiple of f and 16.
592
Suppose 20 = 5*m + 5*r, 0 = -m + 4*r + 55 - 51. Let p(h) = 4*h**3 - 8*h**2 + 9*h + 10. Calculate the lowest common multiple of p(m) and 10.
870
Let y(q) = 16*q - 136. Let w be y(7). Suppose 0 = 5*s - 6*s + 5. Calculate the least common multiple of s and ((-28)/w)/(1/6).
35
Let j(x) = x**2 + 7*x + 14. Let f be j(-10). Let r be 664/(-22) - (-8)/f. What is the common denominator of ((-50)/(-6) - -2)/(r/18) and 95/2?
10
Let w be 1410/((-60)/12) + 0/1. Find the common denominator of 1 + (w/180 - (-2)/(-15)) and (4/10)/((-12)/207).
10
Let l = -600/8357 - 307623527/83570. Let u = l - -3692. Find the common denominator of u and -13/35.
70
Let t be (24/(-15))/(12/90). Let s = t - -19. Suppose 0*x = 2*x - 14. What is the least common multiple of s and x?
7
Let p = -5669/359235 - 4/2661. Calculate the common denominator of p and 38/45.
405
Suppose n + 4*x = -175 + 194, 0 = 4*n - x - 42. Let s(i) = -i**2 + 10*i - 5. What is the smallest common multiple of n and s(9)?
44
Let s = 4121 - 1675. Let x = s + -9841/4. Find the common denominator of -39 and x.
4
Calculate the lowest common multiple of 408/(-136)*(-2 + (-2)/(-6)) and 3812.
19060
Let l = -21 - -32. Suppose 3 + 25 = -2*y. What is the least common multiple of y/(35/5)*-1 and l?
22
Let x = 1789 + -92973/52. Find the common denominator of 36/3965 and x.
15860
Let s(t) be the second derivative of t**4/12 - t**2 - 16*t. Let h be s(2). Calculate the least common multiple of (-9)/h*(-180)/27 and 24.
120
What is the common denominator of -121/546 and (-340)/90*(45/(-16) + 3)?
2184
Suppose 9*v + 4737 - 5052 = 0. What is the lowest common multiple of v and 1036?
5180
Calculate the common denominator of (4/(-535))/((-64)/(-608))*(-10)/(-184) and 89/14.
34454
Let t = -221/4 + 291/5. Calculate the common denominator of t and -85/18.
180
Let g be 3*(-12)/(-54)*9513/6. Let k = 8467/8 - g. Calculate the common denominator of k and -16/41.
328
Suppose 4*j = -w - 3*w, 16 = -5*j + 3*w. Let y be (0 - 6/9)*(-18)/j. What is the common denominator of (-2)/(-4) - y/15 and -91/2?
10
What is the common denominator of 1/((-9)/(-5))*(1260540/600)/(-141) and (-5)/36*214/(-40)?
144
Suppose 126 = 15*z + 6*z. Suppose 3*o + 312 = 5*r, z*r - 2*r - 247 = 5*o. What is the lowest common multiple of 77 and r?
693
Suppose -4*x = 2*o - 964, o + 3*x - 512 = 6*x. Calculate the least common multiple of 133 and o.
3458
Let i = 317/26 + -5677/468. Calculate the common denominator of 70/1053 and i.
4212
Suppose 54*l = -66*l - 32*l + 36784. Let d = 46 - 26. Calculate the lowest common multiple of d and l.
2420
Let z = -16 - -37. Suppose -15*u = -37*u + 4884. What is the smallest common multiple of u and z?
1554
Let y = 439224 - 1802575205/4104. Calculate the common denominator of y and 73/189.
28728
Let g(o) be the third derivative of o**6/120 + o**5/20 + o**4/24 + 25*o**3/6 + 25*o**2. Suppose 0*b - b = b. What is the least common multiple of 30 and g(b)?
150
Let y be (-51534)/1540 + (-6)/(-10). Let b = y + -172/11. What is the common denominator of ((-1)/(-2))/(3/177) and b?
2
Let l = 20365 - -34192. Let j = l - 863255409/15823. Let k = j + -1503221/284814. What is the common denominator of 63/2 and k?
18
Let m = -847/2 + 35555/84. What is the common denominator of 103/56 and m?
168
Find the common denominator of 17/844 and (-253)/(-208) + 250/65 + -4.
3376
Let i = 8083761/44 + -720563/4. Let k = i + -3584. Suppose 4*j - 23*o + 18*o = 166, 5*j + 3*o - 152 = 0. What is the common denominator of j and k?
11
Let r = 1583711527/826420 + -78/41321. Let p = -1918 + r. Let c = 138751/14 + -9905. Find the common denominator of c and p.
140
Let d = -8338 + 8444. Calculate the lowest common multiple of 10 and d.
530
Let d = -197/65 + 8906/2145. Let n = 780 + -11752/15. Find the common denominator of n and d.
165
Suppose 3*d - 47 = -71. Let j be (-118)/d*(144/6)/6. Suppose 0 = 56*o - j*o + 18. Calculate the least common multiple of 86 and o.
258
Suppose -363 + 2293 = 5*m + 5*r, -2*r - 1562 = -4*m. Let d = 5779 - 5743. What is the common denominator of 1/d*(4 + m/(-2)) and -31/12?
24
Let i = 3/7715 + 763737/123440. Let j = 1821/88 + -183/22. Calculate the common denominator of j and i.
16
Let r(n) = -n**3 - 5*n**2 + 2. Let d be r(-5). What is the lowest common multiple of 20 and 1840/(-32)*(-8)/d?
460
Let x = 131419/733752 + -41/2133. What is the common denominator of 65/774 and x?
3096
Let y be 1214/10 + -1 + 8/(-20). Suppose 4*v = -3*a - 9 + y, -3*v = -3*a + 90. Let z(n) = -n**2 - 9*n - 6. What is the least common multiple of z(-6) and a?
132
What is the smallest common multiple of 2*((-18)/(-4) + -7) - (-2 - 227) and 10?
1120
Let n be 30649/(-8) + (18 - 19). Let d = n + 3827. What is the common denominator of d and 59/7?
56
Suppose 4*o + 5*q - 3916 = -3801, 5*q = 75. Let w(h) = -4*h**3 - h**2 + 2*h + 1. What is the least common multiple of w(-5) and o?
2330
What is the smallest common multiple of (-8)/(3*(-16)/120) and 120?
120
Let j be -3 - 76/(-24) - (-93830)/60. What is the common denominator of j/(-810) + (-2 - -1 - -3) and -23/24?
3240
Let i = 5553 + -938451/169. Find the common denominator of i and 47/26.
338
Suppose 86*o - 2485 = 22889 + 22270. What is the smallest common multiple of 1939 and o?
3878
Let p(q) be the first derivative of -q**3/3 - 21*q**2/2 - 12*q + 45. Calculate the least common multiple of 206 and p(-20).
824
Let f = -180255 + 1031641/6. Let g = f - -8333. Calculate the common denominator of g and ((-19)/(-3))/(3 - -14).
102
Suppose 2*h - 154 = -4*p, 2*h = -p + 34 - 0. Suppose u - 49 = 5*a, 0 = -2*u + 3*a + 67 + 10. What is the common denominator of (p/(-12))/((-8)/u) and -23/4?
12
Let t = -6485564 + 3761625501/580. Let v = t - -507/58. Find the common denominator of v and 157/180.
180
Let k be (21010/30)/(-1) - (-1)/3. Find the common denominator of -69/35 and 1922/k + (-18)/(-63).
350
Calculate the lowest common multiple of ((-2650)/(-500) + (-3)/10)*(