?
126
Let n(h) = h**2 + 9*h - 39. Let p be n(-12). Calculate the least common multiple of p*(-2 - (388/3 - -2)) and 12.
1200
Let c be 23 - 26 - (-298)/88. Let n = 415/22 + c. What is the common denominator of n and -109/24?
24
Suppose 2*x - 3 = -3*m, 2*x + 5*m - 5 = x. Suppose x = -5*q + 28 + 2. What is the least common multiple of 76 and q?
228
Let n be (14/(-8) - (-3)/(-12))*34. Let g = n + 72. Suppose -g*m + 87 = 3*j - 397, 0 = 5*j + 20. Calculate the least common multiple of 11 and m.
1364
Find the common denominator of 55/72 and 44/5280*(-147 - (-4 + 8)).
360
Let x = -5263/11200 + -8/175. Find the common denominator of -95/112 and x.
448
Let a = -10116 - -91043/9. Find the common denominator of a and -95/58.
522
Suppose -3*b = -12*b + 5113 + 19574. What is the smallest common multiple of b and 7?
19201
Let z(c) = -10*c - 27. Let l be z(-11). Let p = l + -78. Suppose p*f - 48 = 2*f. What is the smallest common multiple of f and 4?
16
Suppose -13*d - 2193 + 8758 = 0. What is the least common multiple of 10 and (4 + d/(-25))*-15 + 2?
490
Let z = -8 + 14. What is the least common multiple of (-17)/((-748)/696) + 52/286 and 18/8*128/z?
48
Let j = -529975/2487564 + 2/23033. Find the common denominator of 158/(-48) - 1*-2 and j.
216
Let d(g) = 8*g**2 + g + 1. Suppose 0 = 3*j + 5*h + 463 - 161, 200 = -2*j - 4*h. What is the smallest common multiple of ((-819)/j)/21 - 218/(-16) and d(-1)?
56
Let y = 371 - 378. Calculate the least common multiple of 10 and 5*(y/(-35) + 3).
80
Let w(n) = -26*n**2 + 2867*n + 133. What is the lowest common multiple of w(110) and 602?
1806
Suppose -4*h - 5*u + 3678 = 0, 5*u - 4641 = -5*h + 6*u. What is the least common multiple of 45 and h?
4635
Let q = 14878616/3 - 5006202. Let z = 27111390/581 + q. Let p = z - -190427/38346. Calculate the common denominator of p and -23/22.
22
Suppose u + 2565*a - 2571*a = 20, 4*a - 24 = -2*u. Suppose 0 = -2*v + 5*m + 17, 8*v - 3*v - 28 = -2*m. What is the smallest common multiple of v and u?
42
Let n be (9 - -67)/((-142)/9). Let f = n + 47693/9798. Calculate the common denominator of f and 37/2.
138
Let l(g) be the third derivative of g**5/30 + 3*g**4/2 - 35*g**3/6 + 27*g**2. What is the least common multiple of 155 and l(-20)?
1395
Calculate the common denominator of -16/847 and ((6 + -754)/(-11))/(220/(-4)).
4235
Let p(x) = x**2 - 16*x + 2. Let o be p(16). Suppose -o*v + 30 = -3*n - 43, 19 = v - 5*n. What is the least common multiple of v and 4?
44
Suppose 2*l + 10 = 0, -4*d - l = -d + 8. Calculate the common denominator of -30/29 and 1005/15*d/(-2 - 1).
87
Let s = -191/451 - 5/11. Let y = s + 781/656. Calculate the common denominator of y and -29/48.
48
Let a(y) = y**3 + 10*y**2 - 24*y - 1. Let j be a(-12). What is the common denominator of 7/2 and j*(4 + (-1602)/552)?
92
Let o = -263/30 - -1163/120. Calculate the common denominator of o and 23/630.
2520
Calculate the lowest common multiple of -1 - -4 - (111605/(-909) - 2/9) and 24.
504
Calculate the common denominator of -40/241 and 6482/(-53020) + (-1218)/(-8932).
1205
What is the least common multiple of (3*-1)/((132/3160)/(-11)) and 10?
790
Let j be -1 + (-20)/(-4) - (-1 + 675). Let o = 695 + j. What is the smallest common multiple of 150 and o?
150
Let r = -17359 + 485977/28. Find the common denominator of 93/568 and r.
3976
Suppose 53*r + 431 = -470. Let o(j) = -5*j**2 - 92*j - 31. What is the least common multiple of o(r) and 8?
88
Calculate the lowest common multiple of 27 and 65/((574/84)/41).
3510
Let i(f) be the third derivative of f**4/8 - 15*f**3/2 + 11*f**2. Let s be i(0). Let y = -39 - s. What is the lowest common multiple of 7 and y?
42
Let x = -957696708 - -47886917081/50. Let q = 41632 - x. Calculate the common denominator of -54/25 and q.
50
Let f be (-24)/(-56) - 3588/(-7). Let c = f + -493. Calculate the smallest common multiple of 112 and c.
560
Let q be (-258600)/(-129303) - 4 - -2. Let g = -221893/57468 - q. Calculate the common denominator of (-33)/4*(-56)/(-12) and g.
36
Let l = -9145 + 320086/35. What is the common denominator of l and 254/126 + -2 - 1?
315
Suppose -15*m = 15*m - 300. What is the least common multiple of 294 and m?
1470
Let a = 643 + -598. Calculate the smallest common multiple of (-21)/5*a/(-9) and 129.
903
Find the common denominator of -69 + 8792693/124890 + (1 - (-7)/(-3)) and 59/30.
5430
Let m = 1/156396 - -2500793/241319028. Let n = 73623/191332 + m. Find the common denominator of 111/10 and n.
620
Let y(t) = 1778*t - 3430. What is the least common multiple of 798 and y(2)?
2394
Let i be 4/(-6) + 32052720903/1233. Let v = -25995700 + i. Let f = -22/137 + v. What is the common denominator of 31/13 and f?
39
Let r = 3899 + -3879. Calculate the lowest common multiple of 8032 and r.
40160
Let i(x) = x**3 - 44*x**2 + 229*x - 32. Suppose 4*v + v - 75 = 0. What is the least common multiple of i(38) and 28*(v/(-6))/(-5)?
42
Let i = 134291/2550 - -3/850. Let s = 48 - i. Find the common denominator of s and 69/8.
24
Let k(m) = -m**3 + 21*m**2 - 39*m + 25. Let y be k(19). Suppose y*g + 14*g = 180. Calculate the smallest common multiple of 39 and g.
117
Suppose -u + 47 = 4*y, -2*y = 2*u + 3*u - 19. What is the least common multiple of 238/y + (-29)/(-174) and 7?
140
Let j(x) = -2*x**2 - 36*x + 82. What is the least common multiple of 3196 and j(-20)?
3196
What is the lowest common multiple of 33 and (1 - (-4 - (-520)/56))*-35?
1650
Let h be (1 - (3 + 3073))*36376/6. Let g = -298184463/16 - h. Let k = g + -6167. Calculate the common denominator of k and -85/26.
208
Suppose -122 - 1286 = -32*z. Calculate the least common multiple of 32 and z.
352
Let s(k) = -k - 2. Let u(t) = 4*t**2 - 5*t + 8. Let z be u(4). Calculate the least common multiple of s(-5) and (78/z)/(1/6).
9
Suppose -2*r + 92 = -0*r. Let n = r - 31. Calculate the least common multiple of n and (-33)/(-132) - 22/(-8).
15
Suppose 5*r + 20 = 0, -3*r + 34 + 194 = -3*f. Let c = 29823/25 + -763627/600. Let v = c - f. What is the common denominator of v and -71/18?
72
Let u be 3/72*(104/(-44) + -4). Let t = u - -4/3. What is the common denominator of ((-17)/(-5))/(11/(55/32)) and t?
352
Let y(f) = -5325*f + 64. Let t be y(17). Let z = t + 5427823/60. Calculate the common denominator of z and 91/2.
60
Let a = -67/200 - -223/600. Find the common denominator of a and 3/40.
600
Suppose 1742 = -4*t - 3*i, -5*i - 10 = -10*i. Let n = t - -440. Calculate the lowest common multiple of n and 33.
33
Let h = -345 + 351. Suppose h*o - 448 = -o. Calculate the smallest common multiple of 24 and o.
192
Let q = -1726 + 1736. Calculate the lowest common multiple of 610 and q.
610
Suppose -16 = 4*l, -5*t - 114*l + 140 = -119*l. Suppose -4*o + 4*w = 0, 3*o = 4*o - 5*w - 4. What is the least common multiple of t and -2 + o*(-22 - -2)?
72
Let u = 128496 - 3726756/29. Let k = 4425/406 + u. Let m = 15439/468 + -295/9. Calculate the common denominator of k and m.
364
Let q = 18246 + -17985. What is the lowest common multiple of q and 2349?
2349
Find the common denominator of 834*(-9)/(-540) + 4/(-2) and -21/76.
380
Suppose -104 = -2*w + 2*n, 7*w = 3*w - n + 198. What is the least common multiple of (-5 + 2)/3*3 - -43 and w?
200
Let u(b) = b**2 - 42*b - 646. What is the smallest common multiple of 8 and u(54)?
8
Let x = -6001943/24 - -4391405279/17560. Let t = -1/439 + x. Find the common denominator of -43/36 and t.
180
Let p = 4914 + 84145. Let r = 6234013/70 - p. What is the common denominator of 9/110 and r?
770
Suppose q + 27*v - 331 = 20*v, 4*q - 4*v = 1036. What is the smallest common multiple of 76 and q?
5092
Let l = 134 + -113. Let h be -8*(-2 - (-75)/20). Calculate the smallest common multiple of 3 and (-12)/l*-32 - (-4)/h.
18
Suppose 0*m - 1847 = -5*a - 3*m, -2*m + 738 = 2*a. Let h = 1844/5 - a. Let v = 27/1226 + 1037/8582. Calculate the common denominator of h and v.
35
Suppose -3*w + 4*d + 14 = 0, -3*w + 2*d + 0*d + 16 = 0. Let g be 2/(-11) - 240/(-110). Let l = w - g. Calculate the lowest common multiple of l and 8.
8
What is the common denominator of (-87)/(-24)*16/564 and ((-58)/(-18) - 1)/((-18)/(-324))?
282
Let a(k) = -2*k**2 - 11*k - 30. Let u be a(12). Calculate the common denominator of -4 + (-1055)/u*3 and 67/60.
60
Let w = -14 + 20. Le