nominator of 19/3 and (-24)/1086*210/56?
543
Suppose 5*a = 5*z + 15, -3*a + 2 = 6*z - 2*z. Let u be 38/(-5) - 6/(-10). What is the least common multiple of a and (-1 - u/(-3))*-6?
20
Suppose -5*o + 2*g = -454 + 3658, -5*g = 3*o + 1910. Let t be o/(-2175) - (-3 - -2). Let x = t - -1/174. Calculate the common denominator of 83/6 and x.
30
Let v = -4152305/54 + 76897. Calculate the common denominator of -137/6 and v.
54
Suppose -3 - 5 = -2*u. Calculate the smallest common multiple of u and (15/(-6))/(285/(-912)).
8
Suppose 5*c - c - 436 = 0. Suppose 5*w + 3*g = c, 5*w + 0*g - 85 = 5*g. Suppose -w = -5*k + 80. Calculate the lowest common multiple of 36 and k.
180
Let i = 175/83 + -21983/4482. What is the common denominator of 71/18 and i?
54
Suppose -3*l = 5*q + 2, -q - q - 7 = -5*l. Calculate the lowest common multiple of 36 and (6 - 5) + 1 - 14/q.
144
Suppose 3*n = 4*n - 41. Let t = 51 - n. Calculate the smallest common multiple of t and 19.
190
Let j = 577 - 133. Calculate the lowest common multiple of j and 2.
444
Suppose -z - 1 = -0. Let n be (-1 - 9)*6/(-15). Calculate the common denominator of z - ((-477)/(-66) - n) and 95/2.
22
Let w = -9759863/252 - -38730. Calculate the common denominator of -39/8 and w.
504
Let i(l) = l + 11 - 10 + 15 + 3. What is the least common multiple of 11 and i(-11)?
88
Let h = -380/91 + -23645/1638. Let t = h + 39/2. Find the common denominator of -47/9 and t.
9
Let p = 24 - 6. Let z be 24/10 - (-2)/(-5). Suppose -z*d + 3*d = 3*w + 5, -4*d + 28 = -4*w. Calculate the lowest common multiple of p and d.
72
Suppose 100*w + 2*v = 96*w + 210, -125 = -2*w + 3*v. What is the smallest common multiple of 40 and w?
440
Suppose 2*a - 127 + 39 = 0. Let n = 58 - a. What is the least common multiple of n and 4?
28
Suppose 2*l - 2734 = -62. Let a = l + -9301/7. Calculate the common denominator of 38/5 and a.
35
Let y(u) = 13*u**2 + u + 1. Let r(t) = -t**2 + 12*t - 25. Calculate the smallest common multiple of y(-1) and r(6).
143
Suppose 147*x = 226*x - 632. Calculate the lowest common multiple of (-2)/(-1) + (3 - 0) and x.
40
Let z = 45604 + -6019873/132. Find the common denominator of 59/6 and z.
132
Let l = -219024907263499/33480 + 6541962584. Let z = l + 1/8370. Calculate the common denominator of -28/33 and z.
264
Suppose 31*u - 102 = 28*u. Calculate the common denominator of u/3*(-12)/(-16) and 6/32*(-158)/3.
8
Let p = -184 - -200. Let x = 8 + -4. What is the least common multiple of p and x?
16
Let s = -1209619/1834158 - -1/13291. Calculate the common denominator of -139/30 and s.
690
Let z = 4000/7 - 192329/336. What is the common denominator of z and 109/104?
624
Find the common denominator of 54/121 and (-332)/66 + 68 + -65.
363
Suppose -2*x + 81 = x. Let m = -18991 - -19030. What is the lowest common multiple of m and x?
351
Suppose 65*d = 54*d. Let x = 2 + d. Calculate the least common multiple of 2 and x.
2
Find the common denominator of (-1)/(-3) - (-7 - (-4045)/510) and 51/14.
714
What is the lowest common multiple of ((-290)/25)/((-1)/10) and 44?
1276
Suppose o - 1744 = -432. Let y = o + -13043/10. What is the common denominator of y and 65/8?
40
Let f = 550/213 + -182057/79662. What is the common denominator of f and -40/3?
1122
Let c be (-28)/(2/(-2 + 1)). Let b = c - 12. What is the common denominator of 117/12 + b/6 and -35/6?
12
Let q(h) = h**3 - 2*h**2 - 5. Calculate the least common multiple of q(3) and 10.
20
Let p be (-45)/10 - 1/(-2) - -10. Let d be (2 - 4)/(0 - 1). Suppose d*x + x = p. What is the least common multiple of x and 7?
14
Find the common denominator of (-82)/4*10/80 and 151/168.
336
Suppose 2521 - 2361 = 4*k. What is the least common multiple of 4 and k?
40
Suppose 198 = -1054*v + 1063*v. What is the least common multiple of v and 1560?
17160
Let y = -527375890 + 2483940469403/4710. Let c = y + 20/157. What is the common denominator of c and -38/11?
330
Suppose n = 3*a - 8507, -n - 5682 = -2*a - 3*n. Suppose 0 = 3*h + a + 7192. Let i = -20197/6 - h. Calculate the common denominator of -36 and i.
6
Suppose -2*w - 20 = 2*w, 0 = -3*c + 4*w + 29. Suppose 0 = -13*f + 9 + 43. What is the least common multiple of f and c?
12
Suppose r + 8 = 3*r. Let j be ((-12)/(-14))/(r/91). Let z = j - 104/5. Calculate the common denominator of z and -67/18.
90
Let o = 23349 - 70828/3. Let f = o + 255. Find the common denominator of -95/8 and f.
24
Let c = -374 + 294. Suppose 2*f = -4 + 24. What is the common denominator of 5/22 and 341/c + 2/f?
176
Let w be -7 + (3 - 4) + -3. Let u = w + 55. Suppose -4 = j - 3*y, 2*y - u = -4*j - y. Calculate the lowest common multiple of 10 and j.
40
What is the common denominator of 25/6 and (-63)/(-2352)*2*21/8?
192
Let v(r) = -4*r - 1. Let w be v(-1). Let f be (188/(-20) - -9)*60/(-2). Calculate the common denominator of 47/16 and (-2)/w*37/f.
144
Let d = -1/168 - -3389/168. Let u be (-6)/27 + 7/(-9). What is the common denominator of (u + 133/(-18))/1 and d?
18
Suppose 0 = 5*m + 2*h - 4082, 2450 = -35*m + 38*m + h. What is the smallest common multiple of m and 6?
2454
Suppose -5*d - 20*g = -24*g - 70, -3*d = -g - 35. What is the lowest common multiple of 18 and d?
90
Suppose i - 7 = -2. Let t(p) = 101*p**2 + 5*p + 4. Let d be t(i). What is the common denominator of (-10)/(-65) + d/(-208) and 7/6?
24
Suppose 0 = -5*j + 7*j. Suppose 5*b - 2*g = 41, j*g - g - 31 = -4*b. What is the common denominator of 63/2 and 59/35 + (-2)/b?
10
Let u be -3 - ((-95)/(-65) - 4). Let l = u - -1739/78. What is the common denominator of 55/6 and l?
6
Suppose -2*o - 22 = -3*o. Suppose -51*g + 8 = -52*g. Calculate the least common multiple of o and (-27)/((-19)/(-76) - (-14)/g).
198
Let k(n) = n**3 + 18*n**2 - n - 17. Let b(a) = 3*a + 24. What is the least common multiple of b(-6) and k(-18)?
6
Let j = -6 - -7. Suppose 0 = 3*g - 8*g + 30. Calculate the smallest common multiple of j and g.
6
Suppose -2*w + 90 = -6*u + 8*u, 241 = 5*u + w. What is the smallest common multiple of 42 and u?
294
Let c(u) = 2*u - 11. Let g be c(-8). Let o = -9 - g. What is the smallest common multiple of 39/21 + 1/7 and o?
18
Suppose -14*y = -17*y - 720. What is the common denominator of 326/y*-2 - 8/(-60) and -109/84?
420
Suppose 2*h - 12 - 13 = 3*b, 5 = -5*b. Let i = -7 + h. Calculate the lowest common multiple of i and 8.
8
Let k(a) be the first derivative of -a**3/3 - 9*a**2/2 + 5*a - 167. Suppose t = 3*t + 16. Calculate the least common multiple of k(t) and 7.
91
Suppose 3*i = -34 - 26. Let x = 4 - i. What is the smallest common multiple of x and 15?
120
Let r = -311 + 339. What is the least common multiple of 72 and r?
504
Let o = -48 - -68. Calculate the common denominator of -31/8 and 35/o - 2 - 3*2.
8
What is the common denominator of (-2)/((-84)/354)*(-14)/(-48) and 4/75?
600
Let d(c) = -c**3 - 7*c**2 - 30*c - 126. What is the lowest common multiple of d(-6) and 1/(-5) + (-44)/(-20)?
18
Let i = -6423 - -648747/101. Calculate the common denominator of i and 61/9.
909
Let v = -40 + 88. What is the smallest common multiple of 210 and v?
1680
Let q be (36/(-48))/(2/(-8)). Let i be (-6)/(116/128 - 1). Suppose b = -q*b + i. Calculate the lowest common multiple of b and 18.
144
Find the common denominator of -7/64 and ((-31)/4 - -7)*194/(-36).
192
Let p be (2/6)/(18/162). Suppose p*u + 0 = 30. What is the smallest common multiple of 11 and u?
110
Suppose 11*t + 8*t + 152 = 0. Let z = -13 + 21. Let u = z - t. Calculate the smallest common multiple of u and 8.
16
Find the common denominator of 35/11 and (2/(-21))/((-1432)/(-644) - 2).
594
Suppose 0*b - 3*b + 36 = 0. Let s = -74 - -86. Calculate the lowest common multiple of b and s.
12
Suppose -4 = 3*i + 2*o - 26, 2 = o. Suppose -143 = -4*j - 11. Calculate the smallest common multiple of i and j.
66
Let a(x) = -10*x**3 + x**2 - 2*x + 1. Let c be a(1). Let i be (-42688)/c*50/35. Let o = 256031/42 - i. Find the common denominator of o and -31/20.
420
Let s be (-4 - -1) + (-1)/(60900/(-3136326)). Let q = 2/5075 + s. Find the common denominator of q and -35/16.
16
Calculate the lowest common multiple of 946/3 - (10 - (-406)/(-42)) and 175.
1575
Suppose 5*s - 54 = -3*q, 9*q = 7*q + 6. Calculate the least common multiple of 3 and s.
9
Suppose 0*d + 5*d = 0, -3*m + 18 = 