?
240
Suppose 0 = -3*s + 9, 2*z - 4*s + 3*s = 3109. Let m = z - 3830. Let r = m - -20498/9. Calculate the common denominator of -15/4 and r.
36
Let t(d) be the second derivative of -d**4/12 - 3*d**3/2 - 4*d**2 - 4*d. Let b be t(-6). What is the common denominator of (3/12)/(b/228) and 54/11?
110
Let r = -117 - -120. Calculate the common denominator of 12 and r - ((-7)/(-14) + (-82)/(-72)).
36
Let i(r) = -108 - 3*r - 35*r**3 + 106 + 2*r**2 - 2*r**2. What is the smallest common multiple of i(-1) and 18?
36
Let v = -109433/24096 - 1/8032. What is the common denominator of v and -73/42?
168
Suppose 5*h - 2*g = 30 - 0, -3*h = -5*g + 1. Calculate the common denominator of h/12 - 22/9 and -32/11.
99
Let f be (439035/(-20))/(2*-3). Let z = f + -3648. Calculate the common denominator of z and 95/4.
8
Let s = -3633/10 - -371. Calculate the common denominator of s and 1 - -3 - (3450/(-24))/(-5).
20
Let c be 50044/(-16)*(-5)/10. Let y = -1569 + c. Let u = 480/19 - 4277/152. What is the common denominator of y and u?
8
Let q = 11508701761/3 - 60904050112151/15876. Let u be (-1132)/(-3969) + (48/28 - 2). Let n = q - u. Calculate the common denominator of -125/6 and n.
12
Let u = 161446/21 + -7690. What is the common denominator of u and (-1)/2 + 3841/690?
105
Let h(i) = -i + 3. Let p = -1470 + 1472. What is the lowest common multiple of p and h(-7)?
10
Calculate the common denominator of 1530/12*1/(-20)*-4 and 39/10.
10
Suppose 0 = 5*j - 15. Suppose -5*h + j = -77. What is the smallest common multiple of h and 18?
144
Suppose 0 = -4*c + 2*y + 122, 2*c + 2*c + 2*y = 110. Let u = -23 + c. Suppose -2*f + 0*f + 8 = 0. Calculate the least common multiple of u and f.
12
Let p = -7295598/7 + 1038898. Let g = -3322 - p. Find the common denominator of g and -46/47.
329
Suppose 5*v - 83 = 4*d - 13, -2*v = 5*d - 28. What is the lowest common multiple of 16 and v?
112
Let h = 2 + 0. Calculate the common denominator of 185/(-40)*-6*(-1)/(-15) and h/6 - (-82)/(-12).
20
Let o = 518592575/583814413 + -164/1034765. Let q = o + -24/403. Calculate the common denominator of q and -103/50.
350
Let x = 2346 + -2277. What is the smallest common multiple of x and 36?
828
Suppose -160 = -3*i + 38. Suppose -3*q + 0 + 9 = 0, i = 5*r + 2*q. Calculate the lowest common multiple of r and 10.
60
What is the common denominator of (1067 - 1064)*2/(36/(-106)) and (-112)/6*4/(-42)?
9
Let d = -3149/137067 - 1/2562. Find the common denominator of d and -11/12.
1284
Suppose -9*t + 5*t = -8. Suppose -9 = t*x - 27. Suppose 5*y + 9 = 2*d + 39, 5*y + 2*d = 30. Calculate the smallest common multiple of y and x.
18
Let s = 28981 + -3767501/130. What is the common denominator of -61/52 and s?
260
Let j(w) = -w**3 + 6*w**2 - 5*w. Let f be j(5). Suppose i = -5*h - f + 14, -2*h + 2*i = -8. Let c = -284 - -289. Calculate the least common multiple of c and h.
15
Let o = -25 + 23. Let u be (-264)/15*5/o. What is the common denominator of 47/10 and ((-6)/u)/((-6)/(-182))?
110
Suppose 5*c + 136 = 31. Let w = -11 - c. What is the least common multiple of w and 5?
10
Suppose 65 = 5*h + 2*d, 3*h - 3*d = -5*d + 43. Suppose -201 + 241 = 4*t. Calculate the smallest common multiple of h and t.
110
Suppose 0*l + 10395 = 5*l. Let k = 102136535/16 - 6381449. Let i = l - k. Calculate the common denominator of i and -59/8.
16
Suppose -3*x = 2*x - 15. Suppose 0*a = 3*p - 3*a - 21, x*a = 2*p - 13. Let w = 15 + -12. Calculate the lowest common multiple of p and w.
24
Let k(a) = -5*a**2 - a + 5. Let j(w) = -14*w**2 - 2*w + 15. Let m(u) = -3*j(u) + 8*k(u). Calculate the smallest common multiple of m(3) and 10.
70
Let s(d) = 10*d + 7*d + 10*d**2 - d**3 + 10 - 6*d. Let w be s(11). Suppose -16 = 6*g - w*g. What is the smallest common multiple of 9 and g?
36
Let i = -70 + 109. Suppose -a + 9 = 2*a. What is the smallest common multiple of i and a?
39
Find the common denominator of (-38)/76 + -1 + (-202)/60 and 10/63.
315
Let m = 5149 + -77153/15. Let s = -1/10644 + -200459/31932. Calculate the common denominator of m and s.
90
Suppose 5*x - 65 = -5*f, 3*x = -0*f - 4*f + 43. Calculate the lowest common multiple of x and 60.
180
Let y(n) = -2*n**3 + 20*n**2 + 3*n - 5. What is the smallest common multiple of 35 and y(10)?
175
Calculate the common denominator of 17/5*70/108 and -15 - (6 + (-100)/16).
108
What is the common denominator of -63/4 and 444/(-416) - 2/(-8)?
104
Suppose -12420 = -106*z + 37*z. Calculate the smallest common multiple of z and 36.
180
What is the common denominator of (40/16 - 0)*22/300 and 149/42?
420
Suppose 4*c + 108 = -148. Let h = c - -66. Let i(l) = -3*l + 5. Calculate the least common multiple of i(-5) and h.
20
Suppose -37 = -0*h - h. Suppose -25 = 3*j - h. What is the lowest common multiple of j and 3?
12
Suppose -4*h - 46 - 46 = 0. Let v = h - -24. What is the lowest common multiple of v and 2?
2
Let r = -39003866614443/16030 - -2433179455. Let f = r - -2/1145. What is the common denominator of 67/44 and f?
308
Let r = -675 - -686. What is the least common multiple of 67 and r?
737
Suppose -40*i - 126 = 5*l - 39*i, 0 = -3*i + 12. Calculate the common denominator of l and -27/218.
218
Suppose o + 3 = 2*z, -3*z - 2*z + 5*o = -20. Let f = -55/8 + -31/8. Calculate the common denominator of f and (2 + z)/(12/97).
12
What is the least common multiple of 29 and -3*(-2)/6*7/1?
203
Suppose -4*o - 5 = 3*l - 1, 5*o - 22 = 3*l. Suppose 4 = -o*d, 38 = 5*c + d - 0*d. What is the common denominator of 51/7 and ((-9)/(-10))/(c/220)?
28
Calculate the lowest common multiple of 54 and (62 + -2)*(-5)/(-10).
270
Calculate the common denominator of (282/1036)/(-1) - 68/(-238) and -47/54.
1998
Let t(v) = v**3 + 3*v**2 - 2*v + 3. Let m = -11 - -16. Suppose -f - 8 = -m. Calculate the least common multiple of t(f) and 9.
9
Suppose -q - p + 1 - 2 = 0, 1 = -q + p. Calculate the common denominator of q + 2/(48/(-26)) and -93/10.
60
Let y = 135169/27585 - 1/11034. Let a = -2/2429 - 36419/19432. What is the common denominator of a and y?
40
Let q(v) be the first derivative of v**2/2 + 20. Calculate the lowest common multiple of q(8) and 18.
72
Let a = -14 + 12. Suppose w + 5*s = -0*s + 15, w + s = -1. What is the least common multiple of (-12)/w*(-5)/a and 32?
96
Let y = -9 - -11. Suppose 2*k + y*c - c = 18, 5*c = 0. Let n = -13 - -14. What is the lowest common multiple of k and n?
9
Let f(l) = 9*l + 33. What is the lowest common multiple of 15 and f(7)?
480
Suppose 9*w - 6 = 174. Suppose -5*c + 2*z = 6*z - w, -3*c = 4*z - 12. What is the smallest common multiple of 18 and c?
36
Find the common denominator of (2/(-18))/(184/966) and -31/44.
132
Suppose 14 = g + 2*z - 0, 0 = -2*g + 2*z - 2. Suppose 2*w - g = -0. Let q(v) = -v + 3. Calculate the smallest common multiple of q(-9) and w.
12
Let p be 16/(-54)*78/24*123. Let s = -16/5135 - -5818099/46215. Let d = p + s. Find the common denominator of d and -52/7.
63
Suppose -330*a + 323*a = 0. Suppose -r = -6*r + 40. Suppose r*v - v - 140 = a. What is the least common multiple of v and 26?
260
Let o = -3198611/126 + 25387. Find the common denominator of 13/66 and o.
1386
Let u = 4215235/96 + -43908. What is the common denominator of u and -61/2?
96
Suppose 0 = 5*x - 5*s, -5*s + 2*s + 32 = 5*x. Suppose 2*g + x*b = -3*g, 4*g + 5*b = 0. Suppose n + n - 14 = g. What is the lowest common multiple of 3 and n?
21
Let h = 1/15640 + -67453/86020. What is the common denominator of h and 39/16?
176
Suppose -5*b - 58 = -78. Calculate the smallest common multiple of 318 and b.
636
Let j be (-8)/(-44) - (-2006)/(-22). Let h be ((-14321)/3)/(85436/j). Let x = h - 2/1643. Calculate the common denominator of -17/10 and x.
60
What is the least common multiple of 54 and -36 + 33 - (-1 - 29)?
54
Let s = 2791 - 842883/302. Let a = s - -1367/2416. Let b = 417/2 + -191. Find the common denominator of a and b.
16
Let x be (-1153337)/(-8892) - ((-14)/9)/(-7). Let t = 3345/26 - x. Find the common denominator of t and 10.
76
Suppose 2*k + 3*m + 32 = 131, 5*k = 3*m + 195. Let f = 110 - k. Calculate the least common multiple of 14 and f.
476
Suppose -90 + 14 = -19*r. Calculate the smallest common multiple of r and 46.
92
Suppose 6*s - 92 = 2*s - 3*q, 5*q = 2*s - 20. Let x = -721 + 743. Calculate the smallest co