 Suppose 45*n + 6 = 46*n. What is the common denominator of k and 1/(n - 764/124)?
145
Suppose 0 = b + 15*b + 112. Let n(j) = -3*j**3 - 23*j**2 - 14*j + 8. What is the lowest common multiple of 22 and n(b)?
88
Suppose 2*f - 11*f = 0. Suppose -52 = -3*n + o - f*o, 5*n = 3*o + 84. What is the lowest common multiple of 14 and n?
126
Suppose -2*o = -o - 2. Let t be 1/o - (-5)/(-270)*273099. Let x = t + 5050. What is the common denominator of 17/33 and x?
99
Suppose 6*z = 6 + 120. Suppose 0*n = n - 3. Suppose -c + 0 + n = 0. What is the least common multiple of c and z?
21
Suppose -5*h = -3*h + 4. Let f(n) = -9*n**2 - 4*n - 2. Let o be f(h). Let x = o - -54. Calculate the lowest common multiple of 14 and x.
168
Let l = -1978 + 1988. Calculate the lowest common multiple of l and (2/4)/((-1)/(-14)).
70
Find the common denominator of -77/2592 and 10 + ((-292311)/28080 - 3/(-13)).
12960
Suppose 315 = 5*t + 5*h, t - 3*h - h = 63. Let w(x) = 891*x - 7101. Calculate the lowest common multiple of t and w(8).
189
Let s(v) = -13*v - 282. Calculate the lowest common multiple of s(-22) and 36.
36
Let r = -128 + 131. Suppose 5*b = -5*d - 35, r*b = -2*d + 7 - 22. Calculate the common denominator of 59/4 and 2/d - (0 + 813/(-144)).
16
Suppose -4*b - 5*g + 4527 = 0, -79*b - 2241 = -81*b + 5*g. Calculate the smallest common multiple of 12 and b.
1128
Let j = 1851 - 1314. What is the common denominator of (-3474)/1080 + (15/9)/(4/3) and j/(-180) + (-1)/(-4)?
30
Let x be ((-2)/(-4))/((-4)/8 - -1). Let c(n) = 58*n + 5. Let s be c(x). Find the common denominator of -47/20 and -1*3/12*(0 + s).
20
Let f(z) = z**3 - 4*z**2 + z + 6. Let y(i) = i**2 + 19*i + 4. Suppose -8*m - 95 = -3*m. Let q be y(m). Calculate the lowest common multiple of f(q) and 9.
90
Suppose 0 = -5*o - 15, 12*m - 9*m - 183 = -o. Suppose -18 = -3*b - r, -5*r = -b + 4*b - 18. What is the smallest common multiple of m and b?
186
Let v = 10/123 + -6127/1230. What is the common denominator of -85/1324 and v?
6620
Suppose 1232 = 2*n - 2*l, -4*n - l = -n - 1868. Calculate the least common multiple of 138 and n.
1242
Let t be 7/(-42) + 3374/12. Let o = -83967991/294912 + -1/32768. Let b = o + t. Calculate the common denominator of b and 71/22.
198
Calculate the least common multiple of 60 and -3 + 1903/11 - 10.
480
Let i = 210791 - 45530947/216. Find the common denominator of 35/864 and i.
864
Let q = 37469 + -37457. Calculate the lowest common multiple of 408 and q.
408
Let t = 268 + -265. Suppose 3*v - 24 = 3*o, -t*o + 6 = 2*v - 0*v. What is the least common multiple of v and 25?
150
Suppose -21 = -m - 14. Let l be (17 - m) + (-4 - 1). Suppose 19 = 3*y - 2*i - 2*i, 0 = -l*y + 5*i + 35. Calculate the smallest common multiple of 17 and y.
153
Let h = 201 - 2. Let f = 276 - h. What is the smallest common multiple of 49 and f?
539
Suppose -4*m - 80 = -9*m + 2*f, -31 = -2*m + f. Let t = -1098 - -28471/26. Calculate the common denominator of 2490/240 + m/(-2) and t.
104
Suppose -v = -4 + 5, -319 = -4*x - 5*v. Calculate the least common multiple of x and 1/(20/16*(-4)/(-90)).
162
Find the common denominator of (-3 - 56/(-20))/((-68480)/(-5300)) and -63/428.
3424
Let p = -439/555 + 62087/94350. Calculate the common denominator of p and -101/350.
5950
Let f = -8009/4 - -2018. Let w = -67027 + 537045/8. Let o = 96 - w. Calculate the common denominator of f and o.
8
Let z = 32 + -28. Let l(o) = 585*o - 20. Let k be l(z). Let v = k + -23251/10. Find the common denominator of v and -87/2.
10
Let f(g) = -5*g + 4*g + 17 + 5*g. Let j be f(-6). Let i(n) = n + 14. Calculate the smallest common multiple of 6 and i(j).
42
Let k(r) = -7*r + 1. Let p be k(-7). Suppose -2*h + 40 = -2*u, -4*u = 2*h - u - p. Calculate the lowest common multiple of 12 and h.
132
Let z(m) = 15*m - 98. Let f be z(6). Calculate the least common multiple of 54 and (1 - -9)*2*f/(-32).
270
What is the common denominator of 47/2 and (166/(-15106))/((-8)/(-19))?
728
Let g = 21311/286288 - 143/617. Let d = -14037/16 + 878. Let h = g - d. Find the common denominator of h and -115/14.
406
Suppose -4*m = -4*h + 2588, -653 = -h - 8*m + 7*m. Suppose h = 1771*y - 1766*y. What is the smallest common multiple of 91 and y?
910
Suppose -12*y + 8*y = -460. What is the lowest common multiple of 422/20 + -1 - 121/1210 and y?
460
Let l(u) = 779*u - 5. Let w be l(-4). Let o = w - -12579/4. Let q = -650 + 1931/3. Calculate the common denominator of o and q.
12
Suppose -3*b + 31 = -5*d, 2*b - 5*d - 22 = -3*d. Let n be 12107/b + (52/(-6))/13. Let c = n - 1002. Calculate the common denominator of 93/8 and c.
8
Let k = -1297807/20814200 - -3/37844. Calculate the common denominator of 73/600 and k.
6600
Suppose 37*q - 46*q = 0. Suppose 3*z - 4*f + f - 21 = q, 0 = f + 2. Suppose 3 = 2*d - 5. What is the least common multiple of d and z?
20
Let a = -318939164608/57975025 - -3/2319001. Let v = a + 5500. Calculate the common denominator of 11/40 and v.
200
Let c = -6346 + 7002. Calculate the smallest common multiple of c and 697.
11152
Calculate the common denominator of 1319/141 + (-369)/41 and 53/10.
1410
Suppose 45 = -2*p - p. Let m = -505/4 - -243/2. Find the common denominator of m and -3 - p/3 - 39/8.
8
Calculate the common denominator of 33/452 and ((-2)/120)/((-5)/(-990)*-4).
4520
Calculate the smallest common multiple of 57/(-12) - -5 - (-1294)/8 and 6/(-4)*90/(-9).
810
Let i = 10847 + -10826. What is the smallest common multiple of i and 1413?
9891
Suppose -8904 = f + 3*q + 7080, 4*f = -5*q - 63915. Let h = -1789223/112 - f. What is the common denominator of 2/3 and h?
336
Let h = 12803 - 18897203/1476. Find the common denominator of -53/66 and h.
16236
Find the common denominator of 1310/(-12)*((-10305)/(-85425) - 2/17) and 47/4.
804
Calculate the lowest common multiple of 374 and (-16)/2*(212/16 + -16).
374
Let k = -831/188 - -8/47. Let g be ((-9508)/(-8) + 0)/2. Let y = g - 594. Find the common denominator of k and y.
4
What is the common denominator of 83/256 and (3 + 677/(-224))/((-12)/238)?
768
Suppose -16*w - 3*w - 56*w = -525. What is the smallest common multiple of w and 102?
714
Suppose -2*u + 23 = 83. Let l be -2 - ((-10)/u - 46/3). Suppose 5*w = -2*n + n - 5, -l = -n + w. What is the least common multiple of n and 4?
20
Suppose -245 = -8*l + 3*l. Let f = l + 9. Suppose 0 = 62*v - f*v - 12. Calculate the least common multiple of 50 and v.
150
What is the common denominator of 9/(-243) + (-15993)/(-105948) and 34/15?
6540
Let i be ((-193)/4)/(2/8)*-1. Let a = i + -223. What is the common denominator of ((-16)/11)/1 + 0 and a?
11
Let x = -6682478/7 + 8393261997/8792. Let r = x + -7/157. Find the common denominator of r and -9/43.
344
Let z = -2365 - -2373. Calculate the least common multiple of 90 and z.
360
What is the common denominator of ((2425/750)/97)/((-1)/39) and -59/155?
310
Suppose 2*p = 104 + 200. Suppose -195 = -5*u - 5*k, 11*k + 59 = u + 8*k. Calculate the smallest common multiple of p and u.
1672
What is the common denominator of 31 and ((-205)/260)/((-664)/32)?
1079
Suppose -3387 - 7173 = 16*c. Let b = -640 - c. What is the least common multiple of 16 and b?
80
Suppose -32 = 5*r - 5*z - 12, 2*r = z - 9. Calculate the common denominator of (-99)/2 - (r + 4) and -43/10.
10
Let q = -61 - 53. Find the common denominator of q/(-33) - (-2 - -4) and (4/2 - (-76)/(-5)) + 3.
55
Let p(w) = 9*w**2 + 192*w - 1263. Calculate the lowest common multiple of 522 and p(7).
522
Let j(l) = 5*l - 100. What is the lowest common multiple of 192 and j(22)?
960
Suppose 5*z + 66701476 = 4158746. Let p be 18/117 + z/3185468. Let c = p + 1/5569. Calculate the common denominator of -25/8 and c.
88
Let k(h) = -h**2 + 536*h + 3257. Calculate the smallest common multiple of k(-6) and 25.
25
Find the common denominator of -139/3006 and (3 + 480/(-162))/(10/(-546)).
15030
What is the common denominator of 37/250 and (-354)/(-28)*((-854)/(-120) + -7)?
1000
Suppose 4*p = k + 228, 2*p = -9*k + 5*k - 876. Let r = -308 - k. Let j = r - -93. What is the least common multiple of j and 7?
35
What is the smallest common multiple of 0 - 16/(-6) - (-139832)/924 and 22?
154
Let t = -857/84 + -279/28. Suppose 0 = 4*i - 5*m - 9, i - 59*m = -57*m + 3. Find the common denominator of t and (430/