?
20
What is the least common multiple of 993 and 31848/24 + -6*(15/(-6))/(-5)?
3972
Suppose -36*p = -32*p - 3036. Find the common denominator of 12/(-9)*p/(-110) and (-2)/((-3)/((-6)/19)).
95
Let d(y) = -60*y + 572. Calculate the least common multiple of 96 and d(-11).
7392
Suppose -w - 2*n - 24 = -n, 5*n + 5 = 0. Let h = 14073/5 + -2824. Let x = 0 - h. What is the common denominator of w and x?
5
Suppose -95*f = -97*f. Suppose q + 0 - 8 = f. Calculate the lowest common multiple of 25 and q.
200
Suppose 17*d = 5*d. Suppose 12*x - 939 - 21 = d. What is the lowest common multiple of x and 55?
880
Let o(c) = -27*c + 297. Calculate the least common multiple of o(10) and 669.
6021
Let q(u) = -36*u - 44. Let l be q(-24). Calculate the common denominator of (-17097)/l*-1*10/36 and -22/9.
72
Let z(w) = w + 12. Let i be z(-5). Suppose 2*r + i = 9. Suppose 4*l - 163 = -123. Calculate the smallest common multiple of l and r.
10
Let u = -2 + -6. Calculate the smallest common multiple of (-6)/(((-2)/4)/(u/(-24))) and 9.
36
Find the common denominator of 91/76 and (2/(256/12))/(1995/28).
760
Let h = -389 + 359. Calculate the least common multiple of 18/(-3*5/h) and 272.
2448
Let w = 78514 + -1727345/22. Calculate the common denominator of (36/10)/(88/(-30)) and w.
22
Suppose -3*p + 7*p = 336. Suppose -4*f - 22*f + 1034 = -526. Calculate the smallest common multiple of p and f.
420
Let g = -3206359099/27 + 118730909. Let l = g - -23129. Suppose -25 = 4*s + s. What is the common denominator of l and s?
27
Suppose -44*o = -49*o + 3*k + 4238, 7*k + 3395 = 4*o. Calculate the least common multiple of 1001 and o.
11011
Let k = 888 - 5267/6. Let n = -101/87 + -1859/522. Find the common denominator of k and n.
18
Suppose -24*h = 6*h - 11190. What is the common denominator of -179/30 and h*(-1)/70 + (-84)/(-210)?
210
Let h = 55 - 27. Let m = h + -28. Suppose m = -r + 4*t + 6, 4*r + 2*t - 128 = -32. Calculate the lowest common multiple of 16 and r.
176
Let o be 6/12 - ((-21)/6 + 0). Calculate the common denominator of (o/((-24)/34))/((-7)/21) and 11/3.
3
Suppose 32*h = -5706 + 24451 + 2759. What is the smallest common multiple of 504 and h?
2016
Let o(p) = p**3 - 11*p**2 - 21*p + 46. Let x be o(12). Let l = 112 + x. What is the lowest common multiple of l and 5?
50
Let f be (6/14)/(102/952). Suppose 168 = f*k + 2*i, -5*k + 4*k + 3*i + 42 = 0. Calculate the lowest common multiple of 14 and k.
42
Suppose -9975 = -48*n + 27*n. What is the lowest common multiple of 665 and n?
3325
Let d(f) = -8*f + 70. Let y be d(11). What is the least common multiple of (-24)/24 + (-1 - y) and 124?
496
Let g = -281/1400 - 118/175. Calculate the common denominator of 127/1470 and g.
5880
Suppose 0 = 4*v - 131 - 41. Let y = 46 - v. What is the common denominator of (y - (-1)/(54/255))/(-1) and -45/22?
198
Let d(l) = -16*l**3 + 2*l**2 - l + 4. Suppose 0 = -488*u + 307*u + 181. Calculate the lowest common multiple of u and d(-3).
457
Let m = 20061 + -18756. What is the least common multiple of m and 1305?
1305
Let z = 28814/9 - 4610987/1440. Find the common denominator of z and 79/90.
1440
Suppose 2*w - 2*l - 1 = 5, 4*l + 4 = 0. Let b be 4 - (-6 + 2 + w). Let g(f) = f**3 - 8*f**2 + 15*f - 4. What is the smallest common multiple of 14 and g(b)?
14
Suppose -10 = -q + 6. What is the lowest common multiple of q + (4 - 1) + 1 and (95/(-15) + 3)*171/(-5)?
1140
What is the smallest common multiple of 3 + (-72)/(-6) + 15 and 36?
180
Suppose 38*k - 2*k - 1284 = -71*k. Calculate the lowest common multiple of k and 780.
780
Suppose 9*c - 480 = 15*c. What is the lowest common multiple of (c/24 + 8)*6/7 and 24?
24
Let g = 54799145/294 + -186392. Find the common denominator of g and 131/1176.
1176
Calculate the common denominator of -5*(15 - 3931/262)*18/(-124) and -121/6.
48732
Let x be (350346/76428 - 3) + 3. Let y = -4/579 - x. What is the common denominator of 131/6 and y?
66
Suppose -3*x + 9 = 18. Let o be x + (-27)/(-36) + (-106)/(-8). Suppose 1 = j - o. Calculate the lowest common multiple of j and 63.
252
Let u be (-73 - -11)*5/((-20)/66). Calculate the lowest common multiple of (u/(-22) - 9)*4/(-2) and 5.
555
Let m = 46 - -6. Suppose 5*h = 4*q - 106, 34*h - 40 = 38*h. Calculate the least common multiple of q and m.
364
Let q(v) = -v**2 - 19*v - 83. Calculate the least common multiple of q(-12) and 68.
68
Let y(t) = 3*t**2 + 3*t - 2. Suppose -11*z = -12*z. Suppose 2*k - k - 1 = z. What is the lowest common multiple of 12 and y(k)?
12
Let s = -95271 + 95281. Let d = -3 + 3. Suppose 5*j + 4*y - 376 = 40, d = 3*j + 5*y - 247. Calculate the least common multiple of s and j.
420
Suppose -5*f + 486 = -664. Suppose -w - 4*w = -f. Calculate the smallest common multiple of w and (-3 - -7)*(11 + -10).
92
What is the common denominator of 85/98 and 19/((-57)/(-12)) + (-13)/20?
980
Let q = -90 - -92. Let t(w) = 5*w + 10. What is the least common multiple of t(q) and ((-16)/3)/(2/(-18))?
240
Suppose -4*l + 2088 = g - 319, 0 = -g - 7*l + 2389. Calculate the smallest common multiple of 221 and g.
2431
Let t = -469 + 489. Let l = -3518/17 - -207. Find the common denominator of 1775/(-105) + t/35 and l.
51
Let i = -4708 - -84667/18. Find the common denominator of -89/882 and i.
882
Suppose -3*u = -2*u - 56. What is the lowest common multiple of u and 9 + (1068/3)/4?
392
Let j = 461770954609/49538456 - -843/562937. Let a = j - 9322. Calculate the common denominator of a and -51/16.
176
Let h = -547057/30 + 18229. Calculate the common denominator of h and -11 + -294*(-55)/1188.
90
Suppose 2*m - 116 = -5*i, -2*i + i + 4*m = -32. Suppose -1525 = 18*f - 1579. What is the smallest common multiple of i and f?
24
Let x = -17417 - -17789. What is the smallest common multiple of 372 and x?
372
Let u = 8 + 6. Let n(f) = 3*f**2 + 175*f + 708. Calculate the lowest common multiple of u and n(-4).
56
Suppose 2*n + 3*i - 6*i - 43 = 0, 4*i + 24 = n. Calculate the smallest common multiple of (12/n)/(1/5) and 13.
39
Let f(u) = 23*u + 63. Let i be f(-15). Let j = i + 297. Calculate the smallest common multiple of 168 and j.
840
Suppose 0*o = o + 7. Let y(k) = -4*k - 8. Calculate the smallest common multiple of y(o) and ((-102)/(-8))/(-5 + (2 - (-54)/16)).
340
Suppose 0 = 12*t - 6*t - 24. Suppose -3*v + 5*k + 31 = 0, 0 = 6*v - v + t*k - 64. Calculate the common denominator of -37/5 and (-8)/v - (-422)/(-60).
10
Suppose 379*x - 937320 = -132*x + 83*x. What is the smallest common multiple of 1095 and x?
2190
Suppose -4*b = -5*b - 2. Suppose -2*z + 66 = -18. Calculate the lowest common multiple of z and (-12)/b*(-1)/(-2).
42
Let j = 20188 + -524959/26. Calculate the common denominator of j and -25/486.
6318
Let h be 9/(-2)*43946/(-219). Let x = -117/224 + 197349/224. Let z = h - x. What is the common denominator of -77/8 and z?
8
Suppose -15*g - 3713 + 7223 = 0. What is the smallest common multiple of 273 and g?
1638
Let v = 2 - 0. Let o(q) = -7*q - 64. Let f be o(-11). Let x(p) = p**2 - 9*p - 10. Calculate the smallest common multiple of x(f) and v.
42
Suppose 0 = -76*o - 366 + 2904 + 502. Calculate the smallest common multiple of o and 2100.
4200
Let h(t) = t + 15. Let r(q) = 2*q**2 - 14*q - 25. Calculate the lowest common multiple of r(9) and h(-5).
110
Suppose -i + 7 = 3. Suppose -2*w + 2*x - 33 + 81 = 0, -i*x = 2*w - 78. Find the common denominator of -49/12 and (-4 - -4 - w/5) + 2.
60
Find the common denominator of -1 + 1746/36 + 4/((-20)/(-15)) and -2 - ((-2947)/(-240))/(-7).
240
Let s(z) = 20*z**2 - 3*z - 5. Suppose -2*u + 5*a + 8 = 0, -3*a + 6 = -2*u - 5*a. Suppose 4*v - 6 - 10 = 0. What is the least common multiple of v and s(u)?
36
Suppose -129*s - 2*u + 2 = -131*s, -5*s + u = -7. What is the lowest common multiple of s and (-114)/(-8) + (-2)/8?
14
Let z = 191 + -186. Suppose -c - 61 = z*t, t + 86 = -c - c. Calculate the common denominator of 218/(-6)*2/4 and c.
6
Suppose 0 = -2*w - 2*u + 216, -5*u = w - 25 - 103. Calculate the lowest common multiple of (50/(-15))/(-5)*(-33)/(-2) and w.
1133
Let j(w) = w**2 + 3*w + 12. Let h be j(-10). Let k = -64 + h. What is the smallest common multiple of 70/5 - (-5 - -1) and k?
18
Suppose -2*t + 3*z + 68 = 6*z, 2*t = -5*z + 76. Calculate the common denominator of -55/8 and ((-10)/t)/