?
44
Let b = -2 + 2. Calculate the common denominator of (-8)/(-52) + (-4246)/(-4004) + 5 and (1 - b) + 1/22.
154
Let b be -6 + (-1249330)/(-86796) + (-5 - 0). Let k = 12/2411 - b. Find the common denominator of 98/12*6/(-9) and k.
18
Calculate the common denominator of 5/42 and (-5890)/19320 + -1*5/(-30).
1932
Suppose -5*d - 106 = -2*x - 6*d, -3*d = -3*x + 177. Calculate the smallest common multiple of x and 4411.
22055
Let f = 1/4842 - 133969/33894. What is the common denominator of 1106/420 + (-4)/6 and f?
210
Let t = 28858/19635 + 9/595. Find the common denominator of t and 85/198.
198
Calculate the common denominator of 1/(-310)*(255/6)/(-1) and -5/12.
372
Let q = 4063/3377 - 174/307. Calculate the common denominator of q and -30/263.
2893
Let c = 21318 - 596835/28. Let j be 56*9/(162/(-9)). What is the common denominator of (-4)/j - 4194/(-336) and c?
56
Let d be ((-1493)/8)/(1/23). Let o = d - -4298. Find the common denominator of 3/9*111/2 and o.
8
Let t(n) = 12*n + 314. Let i be t(-26). Let a be 7 + (-4*1)/(-2). Suppose 5*r + a = -2*y, i*y + 3*r = -r - 4. What is the smallest common multiple of y and 2?
8
Let q = -2 + -8. Let b = 2749451/60 - 45826. What is the common denominator of b and (-242)/(-20) + 4/q?
60
Let a = 940157/138 + -6813. What is the common denominator of 13/15 and a?
690
Suppose 17*t + 5*t = -1188. Let h = t + 75. Calculate the lowest common multiple of h and 6.
42
Suppose -323*y = -378*y + 25410. Calculate the smallest common multiple of y and 8.
1848
Let o = 23347/20 - 5793/5. Let i = 2683691/78 + -34408. What is the common denominator of o and i?
156
Let h(q) = -q**3 - 14*q**2 - 11*q - 6. Let f be h(-13). Let a be 15/5*1 + 160990/f. Let d = 5031 + a. What is the common denominator of d and -137/18?
144
Suppose 295*w - 2443 + 459 = 293*w. Calculate the smallest common multiple of w and 620.
4960
Let z = -3986 + 3996. What is the smallest common multiple of z and 5010?
5010
Let v = -99 - -88. Calculate the least common multiple of 2 and v*(2/(-7) - (-10)/(-14)).
22
Suppose 551*h - 2880 = 535*h. What is the lowest common multiple of 468 and h?
2340
Suppose 4*t + 5*q = 1585, 0 = -5*q - 0 - 15. Calculate the least common multiple of t and 720.
3600
Let r = -234 + 249. Suppose -r*c + 35 = -10*c. Calculate the least common multiple of c and 49.
49
Suppose -5*u = 0, -4*t - u + 16 = -2*u. Let o(i) = -i**3 + 9*i**2 - 10*i + 9. What is the lowest common multiple of o(t) and 56?
392
Let t(u) = u - 13*u**2 + 0*u**3 - 7*u - u**3 - 2*u - 12. Let c be t(-9). What is the common denominator of (-4)/6 - 473/c and -43/5?
40
Suppose 3*w + 24 = 4*s, 2*s + 3*w = 13 + 17. Calculate the smallest common multiple of 12 and 24/18 - (-6)/s.
12
Let l = -44929864 + 1167981197/26. Let z = l + 7512. Let o = -446825/8 + 55858. Calculate the common denominator of o and z.
104
Let n = -22751 + 22775. Calculate the lowest common multiple of 1 + ((-2)/1 - -21) and n.
120
Let h = -77508/5 - -15514. Calculate the common denominator of h and 31/782.
3910
Let z = 1996 - 1972. Suppose -5*r + 46 = -2*g, -3*r - r + 2*g = -38. Let x(k) = -k**2 + 10*k - 10. What is the smallest common multiple of z and x(r)?
24
Find the common denominator of ((-10)/6790)/((-18)/(-33) + 8/(-16)) and -38/105.
10185
Let k = 4727 + -4726. What is the smallest common multiple of 614 and k?
614
Let m = 13833005/153 + -90413. Let n = m - 3991/6732. Calculate the common denominator of (-3)/2 + (-1353)/(-176) and n.
176
What is the smallest common multiple of 357 and 8*(-204)/16*(-43 - (7 - 3))?
33558
Let r(s) = -24*s + 131. Let y be r(17). Let c = -261 - y. What is the smallest common multiple of c and 9?
144
Let v be 1*(-12)/(-30)*(-6)/(-213). Let w = v + 5881/1065. What is the common denominator of w and 17/18?
90
Let k = -738679/487492 - -4/7169. Find the common denominator of k and (-3166)/(-311851) - 25043/2364.
204
Suppose -2 = -3*i + 10. Suppose -4*f + 28 = 4*s, -15 - 7 = -f + 4*s. Suppose -i = o - f. Calculate the least common multiple of 9 and o.
18
Suppose -3*a + 705 = -2049. Let g(u) = -4*u**3 + 52*u**2 - 84*u - 32. What is the smallest common multiple of a and g(11)?
1836
Let c(z) = 10*z - 314. Let t be c(34). Suppose 22 = 12*i - t. What is the smallest common multiple of i and 221?
884
Calculate the common denominator of 65/24 and -13 + ((-53105)/728)/(-5).
168
Calculate the lowest common multiple of 2/(-28)*-7 - ((-1434)/12 - 4) and 68.
2108
Suppose -101*h + 284 = -3049. Calculate the smallest common multiple of 294 and h.
3234
Let z = -5376 - -5382. What is the least common multiple of (10/6 + -1)*57 and z?
114
Let z = 1/4199443 - -29097940505/176376606. Let f = z + -1016/7. Find the common denominator of f and 111/20.
60
Let x = -711151/44294940 + 23/30339. What is the common denominator of x and 31/54?
39420
Suppose 115*z - 111*z - 2*p = 180, -z - 3*p = -66. What is the smallest common multiple of 18 and z?
144
Let u = 50128 - 1002529/20. Find the common denominator of u and 222/(-100) - (0 - 0).
100
Let g = -52 - -56. Suppose 4*l + w - 19 = 0, 2*w + 0 = g*l - 10. Calculate the least common multiple of 46 and l.
92
Let j = -2974892 - -23761791/8. Let x be 13976/(-3) - (-8)/(-6). Let z = x - j. Find the common denominator of z and -145/6.
24
Let g = 2904 + -40679/14. Let z(v) = v**2 - 5*v - 9. Let l be z(7). Calculate the common denominator of g and l/3*375/50.
14
Let i = 69959/7464 + 2/933. Suppose 3*o + 152 = 2*z, 208 = -4*o + 5*z - z. Calculate the common denominator of i and (-9)/15*6/(o/250).
8
Suppose 20 = 13*z + 98. Let p(y) = y + 84. Calculate the lowest common multiple of 33 and p(z).
858
Calculate the common denominator of ((-20410)/(-546) - 35) + (0 - 7/5) and 115/126.
630
Suppose 19*a = -16*a + 2975. Calculate the smallest common multiple of 12 and ((-24)/(-10))/(2/a).
204
Suppose 4*c - 33 = 3. Let i = 63 + -52. Suppose i*l - 3*l - 80 = 0. What is the lowest common multiple of c and l?
90
Let d(g) = 35*g - 500. What is the lowest common multiple of 440 and d(20)?
2200
Let j = -272 + 146. Let n = j + 186. Calculate the lowest common multiple of 45 and n.
180
Suppose 5*k - 440 = 3*m, 5*m - 176 = -k - k. Calculate the least common multiple of 183 and (((-25)/10)/(-5))/(4/k).
2013
Let v be (-152)/(((-4)/6)/(16/(-24))). Let j = -117 - v. What is the lowest common multiple of j and 30?
210
Let o be (27 + (-2 - 4))/(-1). Find the common denominator of -38/21 and o + 16 - (-914)/150.
525
Let s(n) = 247*n**2 - 4*n - 5. Suppose 37*q - 28*q = -9. Calculate the least common multiple of 30 and s(q).
1230
What is the common denominator of -113/516 and ((-12)/24)/(1/(((-188)/40)/1))?
2580
Suppose 16 + 4 = 5*x. Suppose -2 = 2*r - x. What is the lowest common multiple of (-6)/6*(22 - 24) and r?
2
Let i = 9121 + -200715/22. What is the common denominator of i and -19/770?
770
Let w = 28405 - 1278293/45. Let q be ((-1)/(-2))/((-4)/(-232)). Find the common denominator of (-45)/300*q/(-3) and w.
180
Let n be 0 + 1 - (-28)/7. Suppose -6*x + 2*x = q - n, x = -2*q + 17. Suppose 12 = 7*f - q. Calculate the least common multiple of f and 3.
3
Let f = 6 - -2. Let j(s) = -223*s + 453. Calculate the least common multiple of j(2) and f.
56
Suppose -5*n + a = -9, 3*n - 3*a - 7 = -4*a. Suppose 0 = 5*z - 25, -4*d - 4*z - 30 = -n*z. Let k = 13 + d. Calculate the lowest common multiple of k and 1.
3
Let j = 5487/4 - 1253785/914. Let i = 92423/170004 + j. Let q = -59821/6744 - 4/843. What is the common denominator of i and q?
744
Suppose -4*x + 343 = 91. Suppose 0 = 229*b + 71*b - 16200. What is the least common multiple of x and b?
378
Let q = 48174833/366 + -131625. Calculate the common denominator of q and -8/21.
2562
Let p be (-12)/15 + 69186/(-20). Let i = 3465 + p. Calculate the common denominator of i and 103/6.
30
Suppose 4*b - 16 = 3*a, 2*a + 2 = -3*b + 14. Calculate the lowest common multiple of 9 and (1 - -3)/(104/24 - b).
36
Let g = -1179 - -5162. What is the smallest common multiple of 24 and g/63 + 6/(-27)?
504
Let s = -58713 - -30413427/518. Calculate the common denominator of s and 31/740.
5180
Let n = -123612 - -34611299/280. Calculate the common denominator of n and -37/6.
840
Let u be 2/(-3)*-1 + (-80)/(-6). Let g = -18/17 + 231/170. Find the common denominator of u/(-