r + r**2. What is the lowest common multiple of f(23) and 9?
45
Let t = 121508 - 571816679/4706. Calculate the common denominator of 15/14 and t.
32942
Let r be 3 + (-12)/5 - (-387779)/42000. Let x = r - -1/2000. What is the common denominator of x and 23/78?
78
Let q = 75 - 55. Suppose 264 = q*t - 16*t. What is the common denominator of -7/24 and 3/t*-58*(-1 + 0)?
264
Suppose 3*y + 26 = t, 4*y = -66*t + 69*t - 58. Calculate the least common multiple of t and 734.
5138
Let z = 67 - 109. Let x be (-2 + 16)*36/z. Let m(s) = s**3 + 11*s**2 - 11*s + 20. What is the smallest common multiple of m(x) and 14?
56
Let t = -54/23 + 2055/1081. Calculate the common denominator of -29/26 and t.
1222
Suppose -32*z + 124 - 10 = -78. Find the common denominator of 115/12 and z.
12
Calculate the lowest common multiple of (-79)/632*(-112)/2 and 467.
3269
Let v be (-1)/(-3) + 43/(-3). Suppose 2*l = 7 + 9. Calculate the least common multiple of l and (-192)/v + (-3 - 23/(-7)).
56
Let v(t) = -3*t**2 - 75*t - 5. Let b be v(-25). Find the common denominator of -107/40 and b - (-66)/15 - 1119/(-240).
80
Suppose 0 = -4*z + 643 - 3. What is the common denominator of (4/z*-4)/((-6)/405) and -67/8?
8
Let v = -129/721 + 4227/11536. Let x = -3485/16 + 218. Find the common denominator of v and x.
16
Let z(d) = 9*d + 14. Let b be z(4). What is the smallest common multiple of 15 and b*18/3*(-5)/(-30)?
150
Let q = 188805587/4895453628 - 3/1320241. Calculate the common denominator of q and 77/10.
18540
Suppose -5*i = -4*l + 5*l + 36, -2*l = -i - 5. Calculate the common denominator of 6/(((-98)/77)/i) and (-2)/2 + 92/10.
5
Let a = 140345/6 - 4631455/198. What is the common denominator of (6 + -3)*170/(-108) and a?
198
Let p = -31980786/11 - -383638445/132. Let y = p + 3967/4. What is the common denominator of y and 127/6?
66
Suppose 4*x = 4*y + 1096, -5*x - 3*y + 1928 = 526. Suppose 0 = -14*p + 26*p - 24. What is the least common multiple of p and x?
278
Let i = 1292742863/2792604 + 6/232717. Let r = i - 1340/3. Calculate the common denominator of ((-130)/90)/((320/(-330))/(-16)) and r.
12
Let y = -8128 - -433301/54. Let n = y + 103. Calculate the common denominator of -95/18 and n.
54
Let a = 4 - 1. Let w be (99560/(-304))/(1/(-2)). Let x = 656 - w. What is the smallest common multiple of a and x?
3
Let c = 35809/7410 - -1/1235. Let t = -516981/22606 + 2028/89. Calculate the common denominator of t and c.
762
Calculate the common denominator of 116/1785 and 1*((-2)/(-4) - 846/6580).
1785
Let m = -4835115 + 159034780/33. Let z = m - -15878. What is the common denominator of (1 + -122)*(-1)/(-6) and z?
66
Calculate the common denominator of -37/2544 and (-30753)/(-30528) - 7/(8 + -1).
10176
Let m(u) = -141*u - 1062. What is the least common multiple of 550 and m(-8)?
1650
Suppose -12*f = 3188 - 4964. Calculate the smallest common multiple of 332 and f.
12284
Let z(s) = -s**3 + 32*s**2 + 3*s - 92. Let v be z(32). Calculate the common denominator of v/26 + (-9559)/(-2002) and 18/11.
154
Suppose 0 = 90*i - 88*i - 1950. Calculate the least common multiple of 4 and i.
3900
Find the common denominator of -89/210 and 86/(-21) + (10/(-20) - -2).
210
Suppose -10 = -2*l - a, 22*l - a - 5 = 19*l. Suppose 0 = -5*p + 3*i + 33, -l*p = -i + 70 - 89. Calculate the smallest common multiple of 841 and p.
5046
Let z = 77677/528 - 1602/11. What is the common denominator of ((-3)/144)/(-11 + 2/(11424/62772)) and z?
240
Suppose 0 = -3*f + 2 - 26. Let i be ((-13758)/(-168))/(2/f). Let t = i - -649/2. Calculate the common denominator of -5/6 and t.
42
Let p = 35 - 59. Let i = -10 - p. Calculate the smallest common multiple of i and (-1)/7 - 15/(-7).
14
Let u(n) = -n**3 - 31*n**2 - 139*n + 199. Calculate the lowest common multiple of 9 and u(-34).
75537
What is the common denominator of -2 - 10/(-8) - 21437/3492 and -1 - (-218)/28*1?
126
Let p = -388/3 + 539/6. What is the common denominator of p and (4 + 3486/(-990))*(-18)/12?
110
Let s = -5473 - -5648. Calculate the smallest common multiple of 5 and s.
175
Let j = -2456/3 + 19753/24. What is the common denominator of -73/663 and j?
5304
Let w be -716*(-3)/84 + 4. Let i = -190/7 + w. What is the common denominator of i and -2*(78/40 + 2)?
70
Let k = -1344/1975 - -738661/1113900. Calculate the common denominator of 83/1410 and k.
2820
What is the lowest common multiple of 138 and (3312/(-1840))/((-6)/10580)?
3174
Let g(f) = -3*f**3 - 17*f**2 + 9*f + 27. Suppose 23*r = 317 - 41. What is the least common multiple of r and g(-6)?
36
Calculate the lowest common multiple of 828 and -3 + (-396)/(-5) + ((-220)/(-25) - 9).
15732
Suppose -16*l + 706 = 1242 - 712. What is the lowest common multiple of 2932 and l?
32252
Let h = -1970 + 2032. Let o(k) = -k**3 + 2*k + 2. Let l be o(-2). Suppose -4*i + h = 2*w - l*i, -5*i = -25. What is the lowest common multiple of 4 and w?
36
Suppose -d + 21*r + 312 = 22*r, -4*d = -3*r - 1276. Let c(u) = -u**2 + 8*u - 2. Calculate the least common multiple of d and c(6).
1580
What is the least common multiple of 45 and 1088/18 - -14*(-4)/126?
180
Suppose 5*s = 0, 0*i = 5*i + s + 50. What is the least common multiple of 10 and ((-5)/((-75)/36))/((-3)/i)?
40
Let c(w) = -w**2 - 7*w + 74. Let k be c(34). Find the common denominator of 139/18 and 4/20 + 2264/k.
198
Let f(k) = 51*k + 37. Let l be f(-1). What is the common denominator of 13/9 and (-19360)/6048 - 8/l?
27
Let n = -35908 + 35930. What is the least common multiple of n and 1 - (-1 - (23 - -1))?
286
Suppose -15*z = -22*z + 112. What is the lowest common multiple of 464 and z?
464
Let i = -297564 - -80342111/270. Calculate the common denominator of -85/126 and i.
1890
Let t = -70821766903/48 + 1475369859. Let i = t - -83615. Find the common denominator of i and -28/57.
912
What is the common denominator of (-34)/75 + (-651)/(-28) + -23 and 121/150?
300
Suppose 3*y - 2*o = -41 + 57, 0 = 2*y + o - 6. Calculate the lowest common multiple of y and 772.
772
Suppose 5*k = -5*i - 1 - 24, 5 = -3*k - i. Let j be 6/(-15) + (-628)/5. What is the common denominator of (j/(-28) - k/1)/15 and -41/68?
340
Suppose 4*j + 4*k - 24 = -0*j, 6 = 5*j - 3*k. Suppose -3*r - 7 = w - 5*w, r - w = -j. Calculate the least common multiple of 18 and 2/r + ((-84)/(-10) - 0).
72
Let h = 5109 + -107321/21. Find the common denominator of h and 7/348.
2436
Let w = -189523/15 + 12640. Let x be (-1780)/(-5178) + 4/24*-2. Let o = x + 61003/25890. Calculate the common denominator of w and o.
30
Let o = 176648 + -176561. Suppose 4 - 2 = x. What is the lowest common multiple of o and x?
174
Let j be 1/(-3) + 1/3. Suppose 7*z - 3*z - 20 = j. Suppose -4 = 255*b - 259*b. Calculate the lowest common multiple of z and b.
5
Suppose -6*k = -7*k - 1828. Calculate the common denominator of 43/2 and 6/((-4080)/k) - 2.
170
Let a be (-15)/30 + (3 - (-114)/(-4)). Let m be (-50)/((-1)/(-2)*-2). Find the common denominator of 27/2 and (a/8)/(m/30).
20
Suppose -97 - 498 + 147 = -14*r. Calculate the least common multiple of 2236 and r.
17888
Suppose 674*c = 681*c - 35. Suppose 5*w + 120 + c = 5*k, 4*k - w - 106 = 0. Calculate the least common multiple of (-3)/((-6)/26) + 2 and k.
135
Let i = 153/53 - 107812/37365. Let c = i - 2272/235. Calculate the common denominator of c and -91/96.
96
Let m = 20 - 22. Let u be (-4 + 5)*1 + m/(-1). Find the common denominator of (u + -1)*(0 - 5/100) and 41/2.
10
Suppose 4*b + 22 = -l, 5*b + 34 = -0*l + 2*l. What is the common denominator of ((-19)/64)/(6/(-60)) and 4/b - (2815/(-330) - -5)?
352
Let h = -64439310/547 + 117805. Find the common denominator of 35/4923 and h.
4923
Let z(b) be the third derivative of 3/20*b**5 + 0 + 0*b - 4*b**2 - 1/3*b**3 + 1/8*b**4. Calculate the least common multiple of z(1) and 26.
130
Let w(z) = -z**3 + 86*z**2 + 80*z + 636. Let f = 28 + -49. Calculate the lowest common multiple of w(87) and (-6)/f - 246/(-21).
108
Suppose 0 = -8*w + 9*w - 3, -5*c + 3523 = -4*w. What is the least common multiple of 1010 and c?
7070
Suppose 2*d - 20 = 5*c, -5*c = 174*d - 175*d + 10. Calculate the lowest common multiple of 2640 and d.
2640
Suppose -5*d = -4*f + 135, -144 = -6*f + f - 2*d. Suppose 49*z = 41*z + 48. What is the least common multiple of z and f?
30
Calculate the smalle