
1160
Let r(q) = -q**2 + 2*q + 4. Let a be r(3). Let j be a/(4/6)*(-1232)/(-21). Suppose -3*o = -7*o + j. What is the smallest common multiple of o and 14?
154
Let z = 677 - 683. Calculate the least common multiple of (-312)/65*15/z and 114.
228
Let q be ((-8)/10)/(8/(-460)). Let d = 102 + q. Suppose -36 = -0*r - 2*r. What is the smallest common multiple of r and d?
1332
Find the common denominator of (426/128)/((-8)/(64/(-204))) and -103/204.
1632
Let l(h) = h**3 + 7*h**2 + 2*h - 9. Let p be (-2)/3*(-714)/(-28). Let k = -23 - p. Calculate the least common multiple of l(k) and 8.
120
Let j = -1287269020677721/1533090 - -10915534896/13. Let r = 4685 - 36833471/7862. Let i = r + j. What is the common denominator of -11/21 and i?
105
What is the common denominator of -7/6 and (-171)/354*32/(-288)?
354
Let k(t) = -4*t**2 - 6*t + 13*t**3 + 8 - 22*t**3 + 15*t**3 - t. Let b be k(4). Find the common denominator of 65/2 and ((-190)/b)/((-2)/5).
12
Let n = 200679 + -2408251/12. Let x = 28031 + -10175218/363. Find the common denominator of x and n.
1452
Let s = -3543 + 56637/16. Let f be 1 - 0 - (-10 - -5)/(-5). Find the common denominator of ((-15)/(-60))/(f - 1/(-85)) and s.
16
Suppose 0 = 5*s + 4 - 14, -4*k = 2*s. Calculate the least common multiple of ((-6)/18)/(2/(-18)) and ((-38)/(-8) - (-39)/(-52)) + k.
3
Suppose 4*h + 52 = 3*d, -19 = 2*d + h - 50. Find the common denominator of (-4)/d - (-596)/112 and ((-240)/(-64))/(33/(-18)).
154
Let i be 2 - ((-2)/2 - 0 - -2). Let x be 11*i/(-2)*-2. Let r(c) = 5*c - 41. What is the smallest common multiple of r(x) and 18?
126
Suppose 0 = 23*c - 20*c + 4*o - 476, -4*o + 20 = 0. What is the lowest common multiple of 120 and c?
2280
Let x = -148403625/43657523 - -1/1439259. Let c = x - -10/39. Calculate the common denominator of -2 + (-5)/(110/(-12)) and c.
77
Let g = -95 + 133. Suppose 39*r - g*r - 72 = 0. What is the smallest common multiple of 56 and r?
504
Let n = 4701 - -2570. Suppose b = -6*c + c - 7279, 5*c - b = -n. What is the common denominator of 51/10 and (c/20)/(-3) - 5?
20
Suppose -d = 5*a - 23, 42*d = 43*d - 2*a - 37. Let f = 38 - 17. Calculate the smallest common multiple of f and d.
231
Suppose -3*f - 233*c + 69 = -236*c, -2*f - 5*c = -4. Calculate the least common multiple of f and 10.
170
Suppose -2*m + f = -9344, -9*f - 4651 = -m - 12*f. Calculate the smallest common multiple of 7 and m.
4669
Let x = -2 + -4. Let y = 4427/3 - 1471. What is the common denominator of y and (-54)/104*x/9?
78
Suppose 188*l - 7300 = 115*l. Calculate the lowest common multiple of 125 and l.
500
Let f = 33825 + -879505/26. What is the common denominator of -59/5986 and f?
77818
Suppose -6*n - 2*m + 42 = -8*n, 3*n + 4*m + 77 = 0. Find the common denominator of 43/84 and 177/(-30) - (n - -20).
420
Let c = -55 - -20. Let h = -157 - c. Calculate the common denominator of 4/192*h - (-2)/8 and -93/8.
24
Let r be ((-20)/16)/(7 - 12)*92. Find the common denominator of 1/10 and ((-6923)/(-70))/r - 9.
10
Suppose 0 = 3*d - 16 + 4. Let r = d - -4. What is the common denominator of 1/44 and (32/(-18))/r - 142/(-720)?
440
Suppose 104 = 2*h - 3*a, -588 = -3*a - 594. Calculate the common denominator of 44/87 and h.
87
Suppose -57*a + 133*a - 18060 = 61*a. Calculate the smallest common multiple of a and 1204.
1204
Suppose 38592 = 141*d - 4977. Calculate the smallest common multiple of 9 and d.
927
Let d(a) = 21*a - 207. Let c be d(-14). Let l = c - -505. What is the smallest common multiple of l and 170?
340
Suppose -60*g = -57*g. Suppose g = 5*b - 2*b + 855. What is the common denominator of b/126 + (-8)/(-6) and 63/16?
112
Suppose -5*h - 21566 = -6991. Let o = -64117/22 - h. Find the common denominator of 328/128 + (-3)/(-2) and o.
176
Let u(z) = z**3 + 8*z**2 + 8*z + 9. Let b be u(-7). Suppose b*c + 4*j + 12 = 6*c, 0 = j - 2. What is the lowest common multiple of 2/7 + 182/49 and c?
20
Let d = -2452633/42954615 + -2/133815. Calculate the common denominator of -33/1070 and d.
9630
Let y be ((-306)/23613)/(-2*2). Let m = -15052/1389 + y. Find the common denominator of -11/9 and m.
18
Let z be 1664/24 - 6/9*-1. Let g = z - 65. What is the smallest common multiple of g and 5?
5
Let q(u) = u**2 - 22*u - 36. Let k be q(24). Suppose 0*i - k = 6*i. Find the common denominator of 83/90 and (i/(-12))/(-3*5/1245).
90
Let s = -9055 - -10645. Calculate the smallest common multiple of 2067 and s.
20670
Let k(o) = -2*o**3 + 29*o**2 + 12*o + 17. Let f be k(15). Let a = 128375/12 + -10686. What is the common denominator of (-862)/f + 4 + (-180)/42 and a?
12
Let k = -449 - -274. Calculate the common denominator of (5/(k/10))/(24/(-518)) and 71/192.
192
Let p be (-20185026)/520 - (-4 + 105/25). Let b = p - -38816. Find the common denominator of b and -18/65.
260
Let m be 1/(2 + (3 - 41/(-6))). Let f = 5004291 + -2842436459/568. Let y = f - m. Calculate the common denominator of -7/16 and y.
16
Let d = 528731/24 - 22026. Find the common denominator of d and (-2)/(-40)*(-27 - -1).
120
Let q(w) = 3*w**2 - 15*w - 24. Let o = 22 + -14. Calculate the least common multiple of 16 and q(o).
48
Let s = 3629 + -3485. Calculate the least common multiple of s and 216.
432
Let y(v) = 4*v - 405. Let u be y(31). Let b = u - -470. Calculate the least common multiple of b and 189.
189
What is the common denominator of (-120)/220 - 1805/(-385) and -51/98?
98
Suppose 4*z - 4*g - 8984 = 0, -2*z - 5*g + 6674 = z. What is the lowest common multiple of 33 and z?
24618
Let h = 7028 - 4138. Calculate the smallest common multiple of h and 8.
11560
Let l be (-183759)/44 + 2/8. Let j = l + 4171. Calculate the common denominator of j and -4/51.
561
What is the common denominator of 93/512 and (-4)/(-14) + (-432202)/374976 + 5/6?
13824
Let q be 80/(-30)*(-6)/4. Suppose -2*c - c + 5*a + 297 = 0, 396 = q*c - 2*a. What is the smallest common multiple of c and 18?
198
Let p(z) = -6 - 16 - 2 + 10*z**2 + 13 - 9. Calculate the least common multiple of 8 and p(-4).
280
Let i = -54239/5760 + 448/45. Calculate the common denominator of -117/1232 and i.
9856
Suppose -515 + 479 = -3*a. Suppose 52 = a*i - 380. Calculate the smallest common multiple of i and 16.
144
Let c(s) = -18*s - 12. Let d be c(-1). Suppose -g - 2*j = 4*j + d, 0 = -g + 4*j + 34. Calculate the least common multiple of g and 80.
720
Suppose -25*z + 6*z + 95 = 0. Let j be (-16)/12*(315/6)/z. Calculate the least common multiple of 5/((-210)/(-1524)) + 4/j and 2.
36
Let t be 5 + (-186)/36 - 10165/30. Let p = -327 - t. Calculate the smallest common multiple of p and 6.
12
Suppose -2*r = 3*r - 3*o - 14072, -8420 = -3*r - 4*o. Suppose -9206 = -6*y + r. Let q = -7953/4 + y. Find the common denominator of -149/24 and q.
24
Let d = 1442141 - 11518783/8. Let z = d + -2287. What is the common denominator of (-258)/(-1118) - 573/(-52) and z?
8
What is the common denominator of 37/42 and (9/(-27))/(9/3)*282/(-136)?
1428
Calculate the least common multiple of ((-44)/(-20)*-98 - -2)/((-214)/535) and 36.
3204
Calculate the common denominator of 7/10 and (206/(-20) - -10)*310/(-276).
460
Let q = -119 - -119. Let s be (4 - 6) + 102668/27 + q. Let x = s + -3801. Find the common denominator of x and -89/6.
54
Suppose -28*q + 30 = 3*b - 32*q, 4*b = 5*q + 39. Let l = 378 + -1118/3. Find the common denominator of l and b/(-8)*(-1372)/546.
78
Let s = 1/11084 - 626291/498780. What is the common denominator of 59/3020 and s?
27180
Let l = 113363/170370 + 39/1262. Find the common denominator of l and 53/6.
270
Let h(q) = -q**2 + q + 28. Let v be h(8). What is the least common multiple of 15 and 11 + (-15)/35 + 16/v?
30
Let y be 4/(-14) - (-237)/21. Let h be (3/(-3) - -3)/(1/y). Suppose 2*z = 3*n - h, -2*n + 0*n = 5*z - 2. Calculate the lowest common multiple of 6 and n.
6
Suppose -25*z = 463 - 538. Calculate the smallest common multiple of 12456 and z.
12456
Let g be ((-20)/6)/(5/(-17 - -2)). What is the smallest common multiple of 9 and 1/(-5)*-3 + 174/g?
18
What is the common denominator of ((-194)/(-340)*-2)/((-632)/(-1580)) and (4 - 8) + (-32)/14?
238
Let y(d) = d**3 + 3*d**2 + 2*d - 5. Let f be y(5). Let o = f + -1235/6. Calculate the common denominator of o and 8/4 - (5/(-6) + -1).
6
Find the common denominator of -43/15 and (143250/(-4815