 -37/18 and (-390)/36 + -3 + (60/(-18) - -4).
18
Suppose -5*x + 9 = -151. Suppose 0 = -3*o - 4558*j + 4557*j + 195, -9 = -3*j. Calculate the least common multiple of x and o.
64
Let f(v) = 2*v + 49. Let i be f(-25). Let o(w) = 31*w**2 + 1. What is the smallest common multiple of 40 and o(i)?
160
Let d be (-1095)/5*(-1)/3. Suppose 4*m + 5*g - 22 = 28, -5*m = g - d. Let r = -3 + m. Calculate the lowest common multiple of 3 and r.
12
Let a = 563 + -558. Suppose 0 = 10*z - 699 - 1351. What is the smallest common multiple of a and z?
205
Suppose 963*r = -12671 + 41561. What is the smallest common multiple of 24/(9/3) - -2 and r?
30
Let f = 41589 + -36551. What is the smallest common multiple of f and 1832?
20152
Let r = -242467 - -30551009/126. What is the common denominator of r and 11/910?
8190
Let x be (-16928528)/208 + 2/1 + -5. Let q = x + 14901254/195. Let w = q - -9955/2. Calculate the common denominator of -73/6 and w.
30
Let j = -22 + 25. Let t(h) = -32 + 2*h - j*h**3 - 14*h**2 + 8*h + 4*h**3 + 7*h. Calculate the least common multiple of t(13) and 40.
40
What is the common denominator of (-21)/(-14) + (-14348)/9120 and -7/285?
2280
What is the common denominator of -31/1476 and (-43183)/68880 + -6*(21/(-10) - -2)?
5904
Let h(c) be the third derivative of -5*c**5/12 + c**3 - 9*c**2. Let v be h(-4). What is the common denominator of (-5 - v/24) + -1 and -103/10?
60
Let o be 21/(-2)*43/(817/(-660)). Let h = o - 581227/1596. What is the common denominator of h and 29/30?
420
Let z = -1241589/46 + 26993. Find the common denominator of (-2054)/(-528) - (-4)/(-22) and z.
552
Let h be 4/(-7) - (-123)/7. Suppose h*g - 23*g + 6 = 0. Find the common denominator of 29/38 and (-3 + 695/60)/(2 - g).
228
What is the common denominator of (3/1476)/(((-420)/(-3555))/7) and -37/246?
1968
Let h be (-100)/3*(-7 - (-3)/3). Let m = h + -851/4. Let o = -12894 + 490001/38. What is the common denominator of o and m?
76
What is the common denominator of -707*(-960)/(-40656) + 17 and (35/(-12))/((-2)/(-4))?
726
Suppose 0 = -3*b - 842 + 881. Calculate the least common multiple of 21 and b.
273
Let u be (-8)/10 - 21303/(-162). Let f be 12/(((-50)/96)/5). Let t = u + f. Calculate the common denominator of t and -57/10.
10
Find the common denominator of (1 - 53/(-63)) + -2 and (-602)/(-1161)*(-18)/147.
63
Suppose -6*v + 2601 = -34635. Let m = v - 297991/48. Calculate the common denominator of m and -101/36.
144
Suppose -1028 - 1084 = -16*i. Suppose -2*o = 2*k - 88, -13*o + 16*o + k - i = 0. What is the lowest common multiple of o and 12?
132
Suppose 5*j + 225 = 4*u, -3*j + 3 = -2*j. Suppose -3*l = s - u, 10*s - 60 = -3*l + 14*s. What is the lowest common multiple of 5 and l?
20
Suppose j + 224 = -15*j. Calculate the common denominator of -145/42 and ((-102)/j + 2)*(-105)/270.
126
Let m be (13 + -6 - 914)*-1. Let d = 911 - m. What is the lowest common multiple of d and 336?
336
Let o = -12469 - -373969/30. Calculate the common denominator of -97/950 and o.
2850
Let p = -133337/20 + 6667. Calculate the common denominator of -31/5498 and p.
54980
Suppose -147*u + 1110780 = -60*u + 219*u. What is the least common multiple of u and 8?
14520
Let y = -262657 - -262662. What is the least common multiple of (-82)/(-3) + (-6)/(-9) and y?
140
Let u = -2232698/266963601 - 2/186297. Let l = -215951/51588 + u. Calculate the common denominator of l and 103/48.
144
Suppose -2*j - 40 = -y, -483*j + 479*j + 16 = 0. What is the least common multiple of 80 and y?
240
Suppose -9*j + 4*j = 0. Let u(k) = k + 2. Let s be u(j). Suppose -5*x - n + 33 = 2*n, -s*x + 2*n = -10. Calculate the lowest common multiple of x and 18.
18
Let i(s) = s**2 + 4*s - 2. Let j be i(-5). Suppose -1335 = j*k - 8*z + 5*z, 4*k - 2*z = -1770. Calculate the common denominator of 83/8 and (-15)/25 - 79/k.
88
Let j(v) be the first derivative of -v**4/4 - 3*v**3 - 11*v**2/2 + 25*v + 84. Suppose -3*g = -71 + 11. What is the least common multiple of g and j(-7)?
20
Let r be 1 + 3 + -3 + (-4525386)/(-180). Let o = 25136 - r. Calculate the common denominator of -61/30 and o.
30
Suppose -181*q + 227*q - 4140 = 0. Let n = -153 + 263. What is the least common multiple of n and q?
990
Suppose 3*x - p - 104 = 2172, -5*x - p = -3804. What is the least common multiple of x and 4940?
9880
Suppose -89*w = -65*w - 1824. Calculate the lowest common multiple of 1368 and w.
1368
Let c(x) = 2*x**3 + x**2 + 2*x. Let k be c(0). Suppose 6*u - 4*u - 100 = k. Suppose -7*l + u = -2*l. What is the least common multiple of 30 and l?
30
Let k(x) = -x**3 - 3*x**2 + 34*x + 138. Suppose 33 + 55 = 4*i. What is the least common multiple of k(-4) and i?
198
Suppose 26*f = -5*f - 17*f + 576. Calculate the least common multiple of 416 and f.
1248
Let u(x) = x**2 + x. Let i(b) = -8*b**2 - 9*b + 4. Let o(j) = -i(j) - 3*u(j). Calculate the smallest common multiple of 143 and o(1).
1001
Let z(f) = -4*f**3 + 2*f**2 + 3. Suppose -4*h - 2 = -3*h. What is the lowest common multiple of 12/(-6) - -7 - 1 and z(h)?
172
Let i(s) = -s**3 + 9*s**2 - 5*s + 10. Calculate the least common multiple of i(8) and (125/(-10) - (-96 - -83))*(-44)/(-2).
374
Let y = -11 - -45. What is the smallest common multiple of 6 and y?
102
Let u(r) = 2*r**2 + 11*r + 15. Let v be u(-4). What is the common denominator of (-3)/v - (0 - 33/(-24)) and ((-4 + 2)/(-52))/((-2)/58)?
104
Let g = -2353 - -503. Let x be 354692/(-192) - (-20)/75*-5. Let d = g - x. Calculate the common denominator of -47/6 and d.
48
Let a(r) = r**2 + 7*r + 16. Let s be a(-8). Let v be (-15)/(-30) - (-238166)/s. Let w = -9930 + v. Find the common denominator of w and 143/18.
36
Suppose 27*g - 45*g = -540. Suppose -g*y - 506 = -53*y. Calculate the lowest common multiple of 770 and y.
770
Let u(n) = -27*n**3 - 2*n**2 + 71*n + 128. What is the least common multiple of (-2)/(-4)*1*4 and u(-2)?
194
Suppose 3*n = 2*i - 1 + 14, 0 = 5*i + 25. Let b = 5 - n. What is the lowest common multiple of b and ((-8)/(-6))/(1/12)?
16
Let j = -13322 + 14177. What is the lowest common multiple of 114 and j?
1710
Let o(d) = -d**3 + 5*d**2 + 5*d + 2. Let b be o(-3). Let x(q) = 6 - q**2 - 68*q + b*q + 0*q**2. What is the least common multiple of x(-7) and 66?
660
Let k = 43 + 49. Let z = 92 - k. Suppose 0 = -3*v + 7*v - f + 68, z = 4*v + 4*f + 48. Find the common denominator of v and -46/25.
25
Let r(u) = -2*u + 1. Let g(o) = 34*o - 28. Let s(f) = g(f) + 2*r(f). Calculate the least common multiple of s(1) and 4.
4
Find the common denominator of 7 + 1130/520 + -9 and 97/22.
572
Let p = -12187/11748 - -190/267. Calculate the common denominator of -83/660 and p.
660
Let t = -349723/11780 + 916/31. Find the common denominator of t and -21/760.
760
Let u(h) = -3*h**2 + 265*h + 1795. Calculate the least common multiple of u(92) and 15.
3915
Let u = 7242469/162 - 44707. Find the common denominator of 157/270 and u.
810
Suppose 2*n + 32 = f - 0*n, -4*f - n + 110 = 0. Let m(x) = 43*x - 229. Let v be m(3). What is the lowest common multiple of (v/f - -5)*21 and 24?
120
Let x be 2 - (104520/22)/(-1). Suppose -13*y + 71235 = -28*y. Let s = y + x. What is the common denominator of -95/2 and s?
22
Suppose 151*i - 7600 = 23*i - 62*i. Suppose -2*p + 86 = 2*m + 28, p = -2*m + 31. Calculate the lowest common multiple of i and p - 3/(-1 - 2).
280
Let r = -189977/22 - -8632. Let w = 3925/1203 - 290214941/16842. Let h = -17221 - w. What is the common denominator of r and h?
154
Let a = -4/16869 - 226781/56230. Calculate the common denominator of 129/260 and a.
780
Let w be (-9 + -3 + 2)/(-2 + 1). What is the least common multiple of 24/(-60) - (-924)/w and 44?
1012
Let j(c) = 9*c**2 - 744*c - 38. Calculate the lowest common multiple of j(84) and 20.
1940
Let a be 5/(200/(-15))*4/102. Let w = a - -41/476. Let i = w + 145/28. Find the common denominator of i and -103/42.
84
Find the common denominator of 89/16 and -13 + -5 + (-1530)/(-96).
16
Let c be -5 + (-4 - -1801)*-1. Let z = -25187/14 - c. Find the common denominator of 83/4 and z.
28
Let s(d) = 2*d - 1. Let n(b) = 2*b**2 + 31*b - 10. Let t = -512 - -496. What is the least common multiple of n(t) and s(1)?
6
Suppose 5*k - 3*g + 7 - 35 = 0, k - 3*g = 8. Suppose -147 = -4*y - k*v + 34, -v - 3 = 0. Calculate the