et d be f(-9). Find the common denominator of 85/4 and (d/(-3) - -1) + (-320)/(-102).
204
What is the least common multiple of ((-594)/21)/(-8*(-15)/(-2520)) and 10?
2970
What is the common denominator of 32/3087 and 6/(-1) + (-10 - 121355/(-7644))?
12348
Let m be 39*(2*-1)/(-6). Let u = m + -7. Calculate the lowest common multiple of u and (28/6 + 0)/((-833)/(-2142)).
12
Suppose -4*o + 2*o - h = 195, 296 = -3*o + 2*h. Let f = -44 - o. Calculate the smallest common multiple of f and 10.
270
Suppose 11*f - 13*f + 4 = 0. Let n be (f*(-3)/129)/(-358). Let v = 1008295/92364 + n. Calculate the common denominator of v and 67/12.
12
Let b = 108117 + -107973. Calculate the lowest common multiple of (8/(-2) - 0)*-16 and b.
576
Let s be (8/(-20) - 4209/2655) + 1. Let y = s + -52/59. Calculate the common denominator of y and (-554)/210 - 2/(-5).
105
Suppose 10 - 6 = 2*i. Calculate the lowest common multiple of 78 and i.
78
Let f = 306629/22 + -13940. What is the common denominator of f and 4 + 326/(-296) + (-35)/((-455)/(-39))?
1628
Let a be -1*(-824)/(-164) - 10/(-2). Let b = a - 681/656. Calculate the common denominator of -21/32 and b.
32
Let v be (-4)/7 - 157732/327600. Let s = v + 113/234. Calculate the common denominator of s and 59/12.
300
Let a = -630131 + 446132623/708. Calculate the common denominator of a and -7/295.
3540
Calculate the common denominator of (0 - (-22)/(-105))/(11/(-55)) and 7/111.
777
Let u = 159058451/29983536 - -11/170361. Let a = u - 74/33. What is the common denominator of 13/4 and a?
16
Let i be ((-16)/(-10))/((-8)/(-20)). Suppose i*w + 22 = 3*w. Find the common denominator of w and ((-19)/((-209)/(-363)))/(-19).
19
Let n = 5947 + -5919. What is the smallest common multiple of 428 and n?
2996
Let q be 44 + 6/(-3) - (-8 - -5). Let y(n) = 12*n**2 + 2*n. Let m be y(2). Let x = m - q. What is the smallest common multiple of x and 3?
21
Let u = -1/157 + 6439/314. Find the common denominator of 144/1280*(-36)/2 and u.
40
Suppose -9375 = -3*g + 3*r, 0 = 5*g - 0*g - 3*r - 15617. Let p = 34296/11 - g. What is the common denominator of p and 38/5?
55
Suppose -2*c + 11 = -2*z - 3*c, z + 4 = -2*c. Let b be (-30)/(z/3)*1 + -3. Find the common denominator of -63/2 and 2/b + 370/(-24).
4
Let f = 1928 + -1838. Calculate the least common multiple of f and 120.
360
Let p(w) = w**3 - 15*w**2 - 31*w - 25. Let k be p(17). Suppose 0 = -24*h + k*h - 150. Calculate the smallest common multiple of 8 and h.
600
Calculate the common denominator of -55/128 and (3/72)/(3/132).
384
Let k = 97156/15 - 6483. Let b = -38747/7260 + 147/484. Calculate the common denominator of b and k.
30
Find the common denominator of -47/2700 and (-7 + (-2282)/(-490))*(-14)/30.
2700
Let m be 8*(-6)/59232*12/(-22). Let o = -631233/95018 + m. Calculate the common denominator of o and (-1 + 47/10)*-2.
70
What is the lowest common multiple of 7 - (3440/(-110))/(-8) - (-2)/(-22) and 1998?
1998
Suppose -22 = 4*z - 86. Suppose -28*c = -68*c + 120. Suppose 2*w - 40 = r - 3*r, -c*r + 5*w = -76. Calculate the least common multiple of z and r.
176
Let x = -8 - -16. Calculate the lowest common multiple of x and (68728/2178)/((-6)/(-27)).
568
Let r be (-1 - (-24)/4) + 11. Suppose 36*x - r = 28*x. What is the common denominator of 9/40 and (3/18)/((-10)/348*x)?
40
Suppose 855 = 2*b + 843. Find the common denominator of (b - 6035/525) + 5 and 61/135.
945
Let q = 5647 + -406705/72. Calculate the common denominator of q and 39658/(-89586) + 2/(-7) - 0/2.
648
What is the least common multiple of (1 - -337)*(51/34)/3 and 1?
169
Suppose 478 - 43 = 87*q. Calculate the least common multiple of q and 9.
45
Suppose -26*o = -24*o - 26574. Let u = o + -265683/20. Find the common denominator of u and -54/85.
340
Let n(u) = -56*u + 2187. What is the smallest common multiple of 1 - 1 - (-6)/1 and n(39)?
6
Let y = -32798681/361900 - 1306/3619. Let a = y + 365/4. Find the common denominator of a and 2/45.
450
Let w = 1130747/16 + -70677. Let g(s) = -9*s**2. Let k be g(2). What is the common denominator of w and 149*2*1/k?
144
Let x = -261 + 144. Let p = x - -120. What is the smallest common multiple of 8 and p?
24
Let v = -16232 - -389485/24. Let h = 21403/1930 + 2/193. What is the common denominator of v and h?
120
Let z = 667435776 - 3835085984261/5746. Let u = 70/169 - z. What is the common denominator of 61/8 and u?
136
Let p = 93 - 89. Suppose 5*j - p*j - 1809 = 4*b, 0 = j + 3*b - 1788. Let t = -5449/3 + j. Find the common denominator of 56/27 and t.
27
Suppose 14472 = 101*r + 402 + 738. What is the lowest common multiple of r and 132?
132
Let d = 9461/15 - 631. Let s = 69374/5 + -29761561/2145. Calculate the common denominator of d and s.
2145
Let v(o) = o**3 + 22*o**2 - 26*o + 539. Suppose 3*n + 4*x = 167, n + 4*n - 3*x - 317 = 0. Calculate the smallest common multiple of v(-24) and n.
671
Let b be (22/4 + -3)*-2. Let h = 999 + -997. Calculate the lowest common multiple of (-3)/b - 7/(-5) and h.
2
Let v = -2/2819 - 198115/2866923. What is the common denominator of 37/9 and v?
1017
Let c(q) = 10*q**2 - 38*q + 80. What is the least common multiple of c(2) and 88?
88
Suppose 4*f - 30 = 2*l, -5*f - 50 - 10 = 4*l. Calculate the common denominator of 2/(-6) + l + 4 and ((-2)/(-22))/((-80)/(-2320)).
33
Let l be 193*((-28)/16 - 9/(-12)). Calculate the common denominator of 169/60 and 68/119 + l/350.
300
Suppose 168*q - 98100 = -10*q + 28*q. What is the least common multiple of 60 and q?
6540
Let d = -1 + 3. Let y be (24/14)/(-28*(-48)/21952). What is the common denominator of 490/y*(2/d)/(-15) and 83/16?
48
Let z = 572163/1489120 - 3/36320. Let h be 12214*5/(20/(-6)) - 4. Let m = h - -366577/20. What is the common denominator of z and m?
820
Let p = 190 + -188. Let f = -126 + 143. Calculate the least common multiple of f and p.
34
Suppose -8*k = -60 + 20. Calculate the lowest common multiple of 588/72 - (-2)/(-12) and k.
40
Calculate the common denominator of 0 + 17 + 307080/(-18069) and -87/2.
12046
Let b be ((-191)/3)/(-1) + 5/15. Let h = b - -11. Calculate the least common multiple of 16 and 15*(-6)/h*-5.
48
Let t = 112 + -370/3. Let x = -2111 + 4081. Let m = -7921/4 + x. Calculate the common denominator of m and t.
12
Calculate the smallest common multiple of 188 and 3382/4 + 41/82.
1692
Let q = -540 - -684. What is the smallest common multiple of q and 90?
720
Suppose 3*w - k - 128 = 0, 2*w = -2576*k + 2578*k + 88. Calculate the lowest common multiple of w and 1029.
2058
Let r(u) = 5*u**3 + 9*u - 3. Suppose k = -x, 5*k + 0*x + 4*x = 2. Calculate the least common multiple of r(k) and 20.
220
Let g(b) = -39*b - 2. Let q be g(-1). Let k = -40 + q. What is the smallest common multiple of k - (-3 - -6)*-4 and 8?
72
Suppose 38*b + 27 = 11*b. Calculate the common denominator of (1 - 0)/b + 1710/1755 and -26/5.
195
What is the common denominator of -37/1128 and (-21)/8820*3476 - -8?
39480
Let n(t) = 19*t**3 + 66*t**2 - 127*t**2 + 66*t**2 - 4*t. What is the least common multiple of n(1) and 60?
60
Let k(i) = -i**3 + 8*i**2 + 10*i - 6. Let s = 124 + -70. Let t be (-10)/4*(-11)/(165/s). What is the lowest common multiple of 13 and k(t)?
39
Suppose 4*p = -5*a + 50, 210*a + 9 = 214*a - 3*p. What is the lowest common multiple of a and 2577?
5154
Suppose -83*p + 6496 = 108*p - 75*p. What is the smallest common multiple of 798 and p?
3192
Let c = -335 - -613. Suppose 2*l = 4*f - c - 24, 5*f = 3*l + 375. Let t = 88131 - 88113. What is the lowest common multiple of t and f?
234
Let i be (-4)/(-6)*9/(-2) + 76564. Let o = i - 10259223/134. Calculate the common denominator of -39/11 and o.
1474
Let a be ((-2870)/180)/((-1)/(-68)). Let j = a - -96473/90. What is the common denominator of j and (-164)/8 - (-1 - -5)?
10
Let n(k) = k**3 - 15*k**2 + 15*k + 16. Let u be n(14). Suppose 4*f + 2*r - 160 = 0, -u = -f - r + 8. What is the smallest common multiple of f and 60?
420
Suppose 9*g = -5*g + 210. Calculate the lowest common multiple of 5 and g.
15
Let u(d) = d**3 - 12*d**2 + 10*d - 50. Let l be u(14). Suppose l + 658 = 38*s. Calculate the smallest common multiple of 90 and s.
90
Let w be -1 + -1 + 111832 + 5/5. Let d be w/8*12/(-27). Let l = d + 6195. Calculate the common denominator of l and 46/5.
30
Let u = -7313