f t and l(0).
450
Suppose 3*c = 44 + 406. What is the common denominator of (-1)/(-6)*(-5)/(c/(-153)) and -2 + (-3)/(120/118)?
20
Let t = -9597 + 9716. Calculate the lowest common multiple of 2907 and t.
20349
Let m = -6912755/56 + 123444. Calculate the common denominator of m and 2/(-54)*(-132)/(-7).
504
Let q = 26499 - 26491. Suppose -5*o = -o - 60. What is the smallest common multiple of o and q?
120
Let j be -3 - (2 + -1 - 8). Suppose 0 = -i + 4, -4*i = -3*g + j*g - 34. Find the common denominator of (-12)/(-27)*(-69)/g and -59/21.
189
Let t = -1720 + 1748. Let q = -1702197/206 - -8263. Find the common denominator of t and q.
206
Find the common denominator of 115*20/4050 + (-8)/24*-1 and -29/4887.
14661
Suppose 3*q - 3*s + 342 = 1725, 3*q + s - 1411 = 0. Calculate the least common multiple of q and 567.
29484
Suppose 3130*k - 3144*k = -10780. What is the lowest common multiple of 140 and k?
1540
Suppose -3*t - 2*t - 3*j + 19240 = 0, -5*j + 3848 = t. Let g be (-7 - 222/(-30)) + t/(-70). Let w = g + 2559/56. What is the common denominator of w and -115/6?
24
Calculate the common denominator of (-2)/(-1)*1314/(-216) and -7 - ((-174)/20)/3.
30
Let f = 1261 + -8881/7. What is the common denominator of (-2 - 16/(-12))/(-19 + 7305/405) and f?
91
Let c = 30343 - 970959/32. Let y(r) = -81*r**2 - 2. Let f be y(2). Let g = f - -2533/8. What is the common denominator of g and c?
32
Let p(j) be the third derivative of j**5/60 + 13*j**4/24 + 2*j**3/3 + 16*j**2. Let o = 13 + -27. Calculate the lowest common multiple of 12 and p(o).
36
Suppose 16*m + 80 = -5*y + 18*m, -4*y - 3*m - 87 = 0. Calculate the lowest common multiple of 434/9 + y/81 and 10.
240
Suppose -5*y - 3*i = -12, y - i - 13 = -3*y. What is the least common multiple of 12 and ((-42)/(-18) - y)*-6?
12
Let b(a) = a**3 + 17*a**2 + 14*a - 21. Let m(c) = 7*c + 5 - 2*c**2 + 4 + c**2. Calculate the smallest common multiple of m(7) and b(-16).
99
Suppose -38*l + 37*l = 936. What is the common denominator of 14/(-20)*l/56 and -48/7?
70
Let r be 733575/21 + 6 + (-1)/7. Suppose -5*u + r = 11*o - 7*o, 3*o = -3*u + 20961. Let x = -433399/62 + u. Find the common denominator of -21/4 and x.
124
Suppose 0 = 3*v - 12, 0 = -f + 2*v - 2 - 1. Let k = 1815 + -1765. Calculate the lowest common multiple of f and k.
50
Suppose 4*d - 5 = 3. What is the common denominator of ((-12)/320)/(315/310 - (-1)/(-1)) and (-3)/d*(-69)/6?
40
Let l(b) = 4*b**2 + 188*b - 267. Calculate the smallest common multiple of 1179 and l(-50).
43623
Let b(i) = 2*i**3 - 2*i**2 - 8*i - 14. Let x be b(-3). Find the common denominator of -49/45 and 10/(-50)*2/(-108)*x.
135
Suppose 0 = 5*t + 3*x + 42991, 0 = -0*x - 3*x + 9. Let g = t - -120317/14. What is the common denominator of -51/14 and g?
14
Suppose -w + 4*n = -48, 3*n + n = 4*w - 240. Calculate the smallest common multiple of w and 1184.
2368
Let l(c) = -c + 330. Let f be l(0). Suppose -f = 14*k + 20. Let t = -23 - k. Calculate the smallest common multiple of t and 7.
14
Let o = -2157/710 + 24/71. Let p be 6693764/(-456) - (-1)/3. Let k = -14680 - p. Calculate the common denominator of o and k.
190
Let h be (-1 + (-20)/(-16))*-105. Let s = 283/12 + h. Calculate the common denominator of s and -61/12.
12
Let h(l) = 12578*l + 14. Let w be h(-2). Let q be 3712/w + (-12)/(-78). Let g = q + 16391/7736. What is the common denominator of g and 5/6?
24
Let q(c) = -c**3 + 22*c**2 - 38*c + 2. Let z be q(20). Calculate the common denominator of 3/49 and (-4 - (-166)/z)*-24.
49
Suppose -42*j = -41*j - 4. Suppose 4*o - 12 = y, 3*o - 8*y + j*y = 22. Suppose 15 = o*b + 1. Calculate the lowest common multiple of 6 and b.
42
Let c = -8123/220 - -713/20. Let j be (3/2)/((-3)/4). What is the common denominator of c and ((-24)/9)/(j/9)?
11
Let u be 1*6/(-48) - 1810/(-16). Suppose 59 - u = -j. Calculate the smallest common multiple of 42 and j.
378
Let d = 682511/34381776 + -3/80144. Calculate the common denominator of d and -43/4.
1716
Suppose 2*s - 5*q = 37274, -3*s = -2*q - 49109 - 6813. What is the least common multiple of 6 and s?
18642
What is the common denominator of (24/(-96) - 1565/84) + 315/441 and (-81)/(-20) + 2/10?
12
Let m be ((-2)/(-3)*6)/(4/2712). What is the common denominator of 927/m - 12/96 and 13/8?
904
Let a = -526/63 + 8231/1260. Find the common denominator of 97/18 and a.
180
Let m be 152/36 - (-2)/(-9). Suppose 3*g - 38 = 4*j, -2*j = -j - m. Suppose -180 = -502*v + 227*v + 257*v. What is the smallest common multiple of g and v?
90
Let l = 338 + -336. Suppose -4*r = -l*h + 184, -2*r + 137 - 29 = h. Calculate the lowest common multiple of h and 8.
200
Let g(r) = -45*r. Let b be g(1). Suppose 112 = -c - 4*w, -4*c + 2*w = -0*c + 376. Calculate the lowest common multiple of (4/6 - c/(-90))*b and 20.
180
Suppose -42*h + 678 = -498. Calculate the least common multiple of h and 742.
1484
Let l = -24737 - -1731461/70. Calculate the common denominator of l and -14/225.
3150
Let p = 50 - 48. Suppose 0 = -5*v + p*o - 107 - 167, 2*o = -v - 50. Calculate the common denominator of v/(-12)*(-18)/16 and -149/12.
48
Calculate the common denominator of (-1561)/(-2541) + (-225)/27 + 8 and 8/33.
363
Let m be 5206684/68 + 6/51. Let x = -7350689/96 + m. What is the common denominator of 47/30 and x?
480
Let s = -6076/579 + -7/1158. What is the common denominator of s and -13/3334?
3334
Let h(o) = 2*o**3 + 12*o**2 - 92*o + 8. Let z be h(6). Let b = 341 - z. What is the smallest common multiple of 195 and b?
1365
Suppose -20*g = -2*g + 3528. Let m = 54 - 32. What is the smallest common multiple of m and ((-18)/(-7))/((-28)/g)?
198
Let z = -8377 - -8705. Calculate the lowest common multiple of z and 246.
984
Let i = 14559523498/3432141 - 3/381349. Let g = i - 4248. Find the common denominator of 67/144 and g.
144
Suppose -5*p - 2*v = -80, -2*v = 3*v. Let m be 4*((-11)/4)/(-1). Let j = m + p. Calculate the smallest common multiple of j and 21.
189
Suppose -j = 2*w + 43, 0 = -4*w + 4*j - 32 - 36. Let z = 44 + -26. Calculate the lowest common multiple of z and ((-7)/2 + 1)*8/w.
18
Let i be ((-9 - -2) + 4)*-1. Let t be (-2)/i - (-656)/48. Find the common denominator of 64/(-30)*(t + -23) and 7/33.
33
Let v = 33265 + -3392947/102. What is the common denominator of v and 7/561?
1122
Let h(g) = -g**3 - g**2 + 3*g - 30. Let m be h(0). What is the smallest common multiple of m/((-2)/(5 + -1)) and 6?
60
Let k(b) = -b - 15. Let i be k(-20). Suppose 5*q + 20 = i*g, -21 - 1 = -5*g + 4*q. What is the lowest common multiple of 24 and g?
24
Let d = 374837/16 + -23423. Calculate the common denominator of -9/2276 and d.
9104
Calculate the common denominator of (-225274)/17248 - -13 - (-1)/(-11) and -23/28.
112
Suppose -5*j = -2*k - 46, 8*j - 5*j + 2*k = 18. Let y = -3893 + 3895. What is the lowest common multiple of j and y?
8
Let t be (-21 + 1 - -2)*(-344)/(-24). Let v = t - -294. What is the lowest common multiple of v and 44?
396
Let i = 17274 + -17219. What is the lowest common multiple of 423 and i?
23265
Let f = 25621/6657 + 8/951. Find the common denominator of 29/37 and f.
259
Suppose 4*b = 5*c + 2614, -b - 4*c + 655 = 33. What is the least common multiple of b and 380?
6460
What is the common denominator of 356/1200*3*(-2)/6 and 58/33?
3300
Let h = 28028 - 1093114/39. Find the common denominator of h and 65/1506.
19578
Let p = 48710618 - 974488759/20. Suppose -3*k = n - 0*n + 41474, 4*k + 55288 = 4*n. Let d = p - k. What is the common denominator of d and 73/16?
80
Suppose 15*o - 63 = 87. Suppose -5*n - o = 0, 5*d + 0*n = -n - 27. Calculate the common denominator of -44/9 and (d - 67)*((-204)/99 + 2).
99
Let d(g) = g**3 + 7*g**2 + 3. Let z(s) = -9*s - 15. Let m be z(-2). Suppose -112 + 106 = -m*f. Calculate the lowest common multiple of d(-7) and f.
6
Suppose 3*p - h - 124073 = 0, 95056 = 4*p + 4*h - 70348. Let q = -3722099/90 + p. Let v = -3139/110 + 304/11. Find the common denominator of q and v.
90
Suppose 8*s - 151 = 73. What is the common denominator of -95/68 and (35/s)/(4/(-6))?
136
Suppose 0 = -4*b - 4*d + 136, -5*b + 6 + 158 = -d. What is the smallest common multiple of 1833 and b?
20163
Let x(v) = 2*v**2 - 4*v - 45. Let c be x(-4). Suppose 4*i = -c*m + 209, 5*m = 4*i - 0*m - 185. What is the least com