smallest common multiple of i and 312?
312
Suppose 4*d - 67 = -3*j, 5*d = 4*j + 54 + 22. Find the common denominator of (-114)/d*7/9 and 1 + 175/(-24) - -11*(-1)/(-1).
24
Let b(v) = 12*v**2 - 4*v + 14*v**2 - 17*v**2 - 26 + v**3. Suppose -k = 26 - 72. What is the least common multiple of k and b(-9)?
230
Let z = 3529/858 + 1/429. Let h = -180022125328385643/187726 - -958962132730. Let y = h + 2/8533. Calculate the common denominator of z and y.
286
Let g = 6271637/68 - 92227. Let o = -1259/170 + g. Find the common denominator of o and ((-4)/(-144))/(2/292).
180
Calculate the least common multiple of 3224 and (5456/33)/(-16)*-72.
9672
Suppose -5*w - 2432 = 2538. Let q = -562 - w. Calculate the least common multiple of 12 and q.
432
Let o(d) = -95*d - 13. Let n be o(-1). Suppose -n + 52 = -5*y. What is the lowest common multiple of 15 and y?
30
Let l be (0 + (-6 - -7))/(0 - 1). What is the common denominator of ((-84)/4)/((-22)/4) and l/(3 + 0) - (-1850)/(-120)?
44
Calculate the smallest common multiple of 160 and (18 + 91/(-13))*1.
1760
Let g = 154 - 1553/9. Let y = g - -47/9. Let v = -23243/7146 + -10/397. Find the common denominator of y and v.
18
Let f(z) = 2*z - 12. Let k be f(18). Suppose k*y - 472 = 22*y. What is the lowest common multiple of 6 and y?
708
Suppose 17*f + 17*f = 306. Calculate the smallest common multiple of 468 and f.
468
Let j = -25652/25 - -1026. Let u = 498259/40 - 12454. What is the common denominator of u and j?
200
Suppose 5*i + 70 + 30 = 0. Let s be (-30)/4*3/((-45)/i). What is the common denominator of 3/10 and 31/s + (-9)/36?
20
Let i be 20/(-1435)*(1 + (-4)/6). Let f = 64567/1722 - i. What is the common denominator of (-1 - 0) + (-48)/5 and f?
10
Let u(l) = -7*l + 2. Let j = -11 - -13. Let p be u(j). Find the common denominator of -7/4 and (161/21)/(p/27).
4
Let y(s) = -s**3 + 7*s**2 + 8*s. Calculate the lowest common multiple of 319*(-82)/(-451) + 19 and y(7).
616
Suppose 2*d - 36 = -d. Suppose -112*w = -84918 + 82678. Calculate the smallest common multiple of d and w.
60
Let d = -1668 + 2732. Calculate the lowest common multiple of 38 and d.
1064
What is the common denominator of 117/1100 and ((-5211755)/4500)/(-53) - 22?
9900
Let b(c) = 2*c - 2728. Let r be b(0). Let h = 49085/18 + r. Calculate the common denominator of (-2)/5 + 98/(-30) and h.
18
Let s = -61790772/247 - -3182886/13. Let j = -5325 - s. What is the common denominator of -127/12 and j?
228
Suppose 0 = -3*h - 4*h + 21. Calculate the common denominator of ((-382)/(-28) - 1)/h and -1*1 + 19/10.
70
Find the common denominator of ((-254)/3683 - -2*3370/(-1508))/(-11) and -44/819.
9009
Let h be (-10)/(20/25*(-10)/316). Let c = -242 + h. What is the least common multiple of c and 6?
306
Calculate the common denominator of -18/4129 and (2 - 4/3) + 2726/609.
28903
Let b(p) = -p**2 - 34*p + 6. Let n be b(-29). Suppose 2*m - 84 = -2*x, -5*x - n = -4*m - 1. Calculate the lowest common multiple of 24 and m.
120
Suppose 2*p = 3*u - 3*p - 36559, -3*u = p - 36547. Let h = -219373/18 + u. Find the common denominator of -83/30 and h.
90
Suppose -4*z + 76 = -o - 55, -2*o + 167 = 5*z. What is the smallest common multiple of z and 216?
2376
Calculate the common denominator of 2/6 - -21*(-638)/7524 and 53/26.
494
Let f be 3453/(-66) + 20/(-110). Let i = f - -11. What is the common denominator of i and -22/169?
338
Let k be 7/((-147)/582)*(-4 - 6). Let u = k + -272. What is the common denominator of ((-268)/12)/(176/12) and u?
308
Calculate the lowest common multiple of 12/(-20) + (-7696)/(-260) and 83.
2407
Calculate the smallest common multiple of 42 and 1568 - 0 - (-106 - -106).
4704
Suppose c - 9 = n + 3, 3*c = -4*n + 29. What is the common denominator of 54/5 and (c*-1)/(-7 - (-1 + -22))?
80
Let m = 1712 - 23939/14. Let n be (-4)/(-4 - (-6)/3). Find the common denominator of m and (-142)/132*-3 - n.
154
Let j = 15 + -9. Suppose 0 = -4*s - 815*g + 812*g + 77, 2*s + 5*g = 63. What is the smallest common multiple of j and s?
42
Let g = -311162/15 - -20806. Let p = g + -15571/255. Calculate the common denominator of p and -43/132.
2244
Suppose 4*v = -2*t + 6*t + 268, -5*v + 340 = -4*t. What is the common denominator of -1 + (59/2 - -1) and 21/56*-2 - 62/v?
18
Calculate the common denominator of -7 - (-4 - 162/60) - 4 and -65/438.
2190
Let r(n) = n**2 + 2*n - 16. Let w be r(4). Suppose 2 - w = -3*k. Suppose k*g = 2, g = -5*p + 2*g + 439. Calculate the smallest common multiple of 8 and p.
88
Suppose q + 3 = a + 7, -3*q + 4*a = -10. What is the common denominator of (-1983)/3690 - (-4)/q and 125/18?
3690
Suppose 16*r = 2233 - 473. Calculate the lowest common multiple of 96 and r.
5280
Suppose 4*b = -3*h - 333, -4*h + 5*b = -0*b + 475. Let j = h + 121. Calculate the least common multiple of j and 2.
6
Let b = 6884 + -6785. What is the lowest common multiple of 198 and b?
198
Let t = 40469/39092 + -1/1348. Find the common denominator of 795/(-120) - (-1)/((-2)/(-8)) and t.
232
What is the least common multiple of 1140 and (-177 + 213)/(1*6/4)?
2280
Suppose -9397 = -173*a - 1612. What is the smallest common multiple of 1240 and a?
11160
Let z(o) = -23*o**2 + 2 + 3*o + 0 - 1 - o**3 + 21*o**2 + 3*o. Calculate the smallest common multiple of z(-4) and 246.
738
Let k(i) = i**2 - 2*i - 7. What is the smallest common multiple of k(-3) and -2*(-4 - -5)*-4?
8
Let r be 13 + (-3388)/297 + (-1 - -1). Let d = -19/54 - r. Find the common denominator of (-11)/22 + 166/24 and d.
36
Let l be (35/(-7) + 21/2)*6. Calculate the common denominator of (1526/168)/((-2)/(12/l)) and 5/6.
66
Suppose 2*u + 5*f - 10 = 0, -6*f = 4*u - f - 10. Let i be ((-109)/(-3))/((-2)/94 + u). Let a = i + 1683. Find the common denominator of a and 10/3.
3
Let g(o) = -o**3 + 15*o**2 - 15*o + 20. Let n be g(14). Let i be 18/n + (-2)/(-20)*-31237. Let u = i + 9365/3. Calculate the common denominator of u and 67/33.
330
What is the common denominator of (24 - 7164/288)*4/(-3) and 51/(-4)*(-2)/(-60)?
120
Let z = 9496 + -8803. Calculate the smallest common multiple of 35 and z.
3465
Let l(t) = -19*t + 1229. What is the smallest common multiple of l(61) and 490?
490
Calculate the common denominator of 2 - ((-80)/(-440) - 6806/(-5280)) and 19/48.
240
Let m = -97 + 99. Suppose -21 = m*y - 13. What is the common denominator of 69/4 and (-14)/y*((-108)/(-76))/3?
76
Let x = 2139 - 1488. Let n = -638 + x. Calculate the common denominator of -24/109 and n.
109
Let g be 4/((-921)/(-160714)*698 - 4). Let y = g - 57856861/180. Find the common denominator of y and 85/12.
180
Suppose 9*p + 185 - 1385 = -41*p. What is the smallest common multiple of p and 264?
264
Let l = -10/137 - -1373/1918. What is the common denominator of 27/38 and l?
266
Let m = 3/360773 + 11001051065/2886184. Let i(q) = -28*q**2 - 18*q - 7. Let c be i(-12). Let l = c + m. What is the common denominator of l and -23/8?
8
Let i = 10 - 1. Let o = -171 - -176. What is the smallest common multiple of i and o?
45
Let k(b) = -3*b - 87. Let d be k(5). What is the common denominator of 739/450 - 4/18 and (9/12)/((-726)/d + -7)?
200
Let w(x) be the first derivative of x**3 + x**2/2 + 3. Suppose 2*b = u - 21 + 10, -u - 1 = 2*b. Calculate the lowest common multiple of w(b) and 30.
120
Let i be 8/(-80)*5 + (-3374)/(-6688). Let a = i + 313211/250800. What is the common denominator of -113/18 and a?
450
Let g(y) = -y**2 + 13*y + 5. Suppose 0 = -3*k - 5*j + 52, 5*j + 22 = 2*k + 4. Let w be g(k). Find the common denominator of ((-513)/(-60))/w - 3 and -1/8.
40
Calculate the lowest common multiple of 266 and (37/370 - (-1538)/20) + 3.
10640
Let r = 1307680673/2076 - 629904. Calculate the common denominator of r and 29/12.
2076
Let j = -1737 + 13949/8. Let t be (-461826)/33*5/20530. Let q = t - 3/4106. What is the common denominator of j and q?
88
Let h = 18/13151 - 1645387/1104684. Find the common denominator of -121/1728 and h.
12096
Let h be (-79)/6*(-3)/(-22). Let c = 148/11 - h. Calculate the common denominator of (-8)/(7 - 15) + 38/18 and c.
36
Let x(l) = -l**2 - 12*l + 32. Let k be x(-14). Suppose -4*q + 40 = 5*d, k*q + 37 = d - q. What is the smallest common multiple of 18 and d?
36
Suppose 58*l - 167986 = -57*l - 54*l. What is the lowest common multiple of 426 and l