. Suppose k + 28 = x*k. Calculate the least common multiple of k and 16.
112
Let y = -5 - -1. Let u be (-228)/4 - (-1 + y). Calculate the common denominator of (2/(-8))/(8/u) and -35/8.
8
What is the lowest common multiple of 24 and (-10035)/(-195) + 24/(-52)?
408
Let p(b) = -36*b**2 + 13. Let j be p(-4). Let q = -74892/133 - j. Let u = q + -14795/2394. Find the common denominator of u and 77/10.
90
Suppose 22998 + 8438 = -29*w. Let p = -1080 - w. Suppose 2*y = 3*x + 2*x + 54, 4*y + 4*x = 80. What is the least common multiple of y and p?
44
Let t(r) = -r**3 + 7*r**2 + 6*r + 16. Let a be t(8). Suppose 446*y - 440*y - 72 = a. Calculate the least common multiple of 24 and y.
24
Suppose -122*f + 18 = -116*f. Suppose 4*b - f*d = 48, b + 4*d - 16 + 4 = 0. Suppose -3*q = -4*q + 20. What is the lowest common multiple of b and q?
60
Suppose 5*k + 2 = z, k = -3*z - 6 - 4. Let g be (12/16)/((6/200)/(-3)). Calculate the common denominator of z/(-12)*g + -4 and -17/8.
8
Let d be ((-50135)/(-2))/(-5)*(-38007)/(-6232). Let r = -30576 - d. Find the common denominator of r and -89/22.
3344
Suppose 0 = -20*x + 17 + 143. Calculate the smallest common multiple of x and 48.
48
Find the common denominator of -19/452 and (-1)/4*(2628/54 + 0/(-1)).
1356
Let q(s) = 5*s - 125. Let m be q(25). Suppose m = -2*b + 143 + 177. What is the least common multiple of b and 14?
1120
Let z = 482 - 477. Suppose -a - 29 = -z*n, -5*n = 5*a - 0 - 5. Calculate the lowest common multiple of n and 35.
35
Let k = 6 + 0. Suppose 0 = -285*s + 282*s - 219. Find the common denominator of s/84 - (-1)/(21/k) and 1/8.
24
Let j be ((-447231)/(-432)*3)/((-2)/(-10)). Let c = 15528 - j. What is the common denominator of 40/9 and c?
144
Suppose -30*g = -51 - 129. Suppose 9*s = 33 - g. What is the lowest common multiple of 11 and s?
33
Let f = -102 + 159. Find the common denominator of 16/27 and (213/(-12)*1)/(f/(-4)).
513
Let s(k) = -4*k**3 + 1. Let h be s(-1). Suppose h + 3 = -2*i. Calculate the common denominator of 2*(-654)/(-1144) + i/22 and -109/10.
130
Calculate the least common multiple of 21 and 1*1551 + (12/40 - (-216)/80).
1554
Suppose 363 = 3*t + 25*a - 21*a, -2*a = 0. What is the lowest common multiple of t and 187?
2057
Let m(y) = -y**3 + 9*y + 23. Let a be m(4). Suppose 0 = 3*k - 3*j - 72, -54 - 20 = -3*k + 5*j. What is the smallest common multiple of k and 8 - (-6 + (-30)/a)?
184
Suppose 4*q + 221 = 5*o, -59 = 3*q - 5*o + 108. What is the common denominator of 17/120 + 2/5 and 4/q*-3 - 2705/(-180)?
24
Suppose 9 = -5*w + 24, w = -c + 24031. Let a be (-10764350)/448 + (-6)/(-21) - 3. Let f = a + c. Find the common denominator of -33/7 and f.
224
Let u = 460 + -280. Let r = -15849 - -15857. What is the smallest common multiple of u and r?
360
What is the common denominator of 115/4704 and (2/(-42))/(471/(-12089))?
14112
Let u(h) = -h**3 - 5*h**2 - 6*h - 3. Let o be u(-4). What is the common denominator of o/(-25) + (-176)/(-430) and (-105)/20 - 0 - -4?
172
Let v be 48/(-64) - (-7517)/(-8841). Let b = -43/421 + v. Find the common denominator of b and 65/18.
252
Let x = -10 - -7. Let d = -48305115765/904 + 53434872. Let f = -6/113 + d. Find the common denominator of x and f.
8
Suppose 36 = -3*k - 6*k. Let f(c) = -c**3 - 6*c**2 - 6*c + 10. Calculate the smallest common multiple of f(k) and 132.
132
Suppose 2461 - 2397 = 8*q. Calculate the least common multiple of q and 7322.
29288
Let a = -680351/1397404 + 21/7433. Find the common denominator of a and 14/(-16)*82041/(-6601).
376
Suppose -6*x - t - 26 = -x, -3*x - 16 = t. Let w be 352*(-1)/x*-4. Let q = w + 1382/5. Calculate the common denominator of -1/5 and q.
5
Let a(b) = -6*b + 156. Let v = -289 - -312. Suppose -x = x - 16. Calculate the least common multiple of x and a(v).
72
Let x be -3 + (3 - 2) + 21. Suppose -x = -3*t - 7, 14 = 3*p - 4*t. Let g(u) = -u - 74. What is the lowest common multiple of p and g(-80)?
30
Let o be (-1 + (-14)/6)/(78/(-22581)). Let a = -15463/16 + o. Let f = -406347/24260 - 2/6065. Find the common denominator of f and a.
16
Suppose 3 = -4*b + 83. Calculate the smallest common multiple of b and 3 - (-34)/(-11) - 40*885/(-264).
1340
Let o be 68/(-11) + (12/(-33))/(-2). Let k(j) = j**2 - 9*j + 8. Calculate the smallest common multiple of k(9) and 160/24 + o/9.
24
Let s = -587 - -1013. Let d = s + -411. What is the smallest common multiple of d and 12?
60
Let m(l) = -l**2 - 2*l + 37. Let u be m(5). Suppose -i = -b - u*b + 21, -2*i = -5*b + 36. What is the smallest common multiple of b and 60?
60
Let v(p) = p**2 - 2*p - 3. Calculate the least common multiple of v(5) and (-5)/2 + (-85)/30*-21.
228
Let x = 287 + -17. Find the common denominator of 71/27 and 238/x - (-22)/(-55).
27
Let q(j) = -203*j**3 + 5*j**2 + 43*j + 68. Calculate the smallest common multiple of 18 and q(-2).
4878
Let x(b) = -b**3 + 6*b**2 + 6*b - 15. Let i be x(6). Let t be 172/(-7) + 12/i. Let l = t + 31. What is the smallest common multiple of 4 and l?
28
Let z = 164 - 134. Suppose 3*q - 59 = -11. What is the common denominator of (4/z)/((-4)/535) and q?
6
Suppose 14326*p - 65 = 14313*p. Calculate the smallest common multiple of 293 and p.
1465
Suppose 4*g - 276 + 264 = 0. Suppose -4*b = -3*h + 22, h = -5*b - g + 4. Calculate the least common multiple of h and 89.
534
Let k be (63/(-35))/(482/3637728652). Let d = k + 13584867. Let w = d - 4/241. Find the common denominator of -28/11 and w.
55
Let q be (-2275)/3 + (-465)/(-279). Let o = 6754/9 + q. Find the common denominator of 9/(-8) - (-2)/(-2) and o.
72
Let c = -3598 - -3609. Calculate the least common multiple of 22 and c.
22
Let o = 365 + -185. Find the common denominator of (-3)/5 + 33/o and 22/8*(-4)/(-8).
24
Let b = 16722 - 8628563/516. What is the common denominator of b and -32/1419?
5676
Let q = 744794 + -1489551/2. Suppose 5*b + 134 + 516 = 0. Calculate the common denominator of q and b/8 + (-1)/(-1).
4
Let l(q) = q**2 - q - 5. Let c = -55 - -124. Suppose -3*j + c = 4*y, -y + 2*y = 2*j - 57. Calculate the least common multiple of j and l(5).
135
Find the common denominator of 67/6045 and (-9)/90*172/48*2.
24180
Let w = 6 + 8. Suppose -8*r + 11*r = 69*r - 198. Suppose -r*s = -v - 33 - 37, w = s - 5*v. What is the lowest common multiple of 6 and s?
24
What is the common denominator of -191/1740 and (-15)/(-195) - 6094/298584?
5220
Let o = -2078 - -1310. Find the common denominator of (-44)/(-11) + o/105 + 2 and -83/42.
210
Let h be 3/2*2/(-1). Let q(s) = s + 6. Let r(o) = o**2 + 192*o + 4735. What is the smallest common multiple of r(-29) and q(h)?
24
What is the lowest common multiple of 24 and 68/16*(-16 + 31 - -321)?
2856
Let b(t) = t**2 - 39*t + 48. Calculate the least common multiple of 5506 and b(38).
27530
Let t be (15*-25)/(-3 - -4). Let v = t - -2985/8. What is the common denominator of -61/100 and v?
200
Let g(c) = c**3 - 15*c**2 + 32*c. Calculate the least common multiple of g(14) and 294.
1764
Suppose 166*m - 164*m - 708 = 0. Calculate the smallest common multiple of 4 and (m/(-15))/(15/(-75)).
236
Let k(j) = -9*j**2 + 10*j - 19. Let m be k(7). Let i be (-3 + 46/16)/(295/m). Let n = -1490/177 - i. What is the common denominator of 151/42 and n?
84
Let g(d) = -2*d**2 - 24 - 4*d**2 + 17*d**2 - 2*d**2 - 10*d + 4*d**2. Calculate the least common multiple of 72 and g(-2).
144
Let d = 3/1459 + -59879/29180. Let l = 163029 + -17933067/110. What is the common denominator of d and l?
220
Let n be 2 - -550*(-13)/(-4). Let r = -1753 + n. Find the common denominator of (16710/2228)/((-2)/(5*(-2)/(-2))) and r.
4
Suppose j - 68*a - 9 = -73*a, 48 = 2*j - 5*a. Calculate the smallest common multiple of 7 and j.
133
Let y = 134 - 15. Suppose -5*z - b = -y, 2 - 31 = -z + 5*b. Calculate the smallest common multiple of z and 45.
360
Suppose -y - 3 = -15. Suppose 200 = 5*v + 3*n - 238, 0 = 2*v - 3*n - 192. Suppose -1557*t + 1554*t = -v. Calculate the smallest common multiple of y and t.
60
Suppose 0*v + 5*v = 375. Let j = 54272 + -868333/16. Calculate the common denominator of j and v/(-2)*(-2)/8.
16
Let x = 26 + -12. Let q be 336 + 7 + 5 + -12. Let r = q - 314. What is the least common multiple of r and x?
154
Find the common denominator of -5/374 and (-2506)/396 + (12 - 6).
3366
Suppose 0 