18.
126
Let z = 387 + -380. What is the lowest common multiple of z and 264?
1848
Suppose 0 = 4*w + 2*i - 252, 101*w - 3*i - 171 = 98*w. Calculate the least common multiple of w and 11.
671
Let d(v) = 20*v - 2. Let q be d(-8). Let k = q + 275. What is the common denominator of -9/22 and k/18 - (7 - 4)?
198
Suppose 48779 = 2*a + 4839. Let c be ((-28)/22)/((-10)/a). Let x = c + -2799. What is the common denominator of x and 67/6?
66
Let x(a) be the first derivative of -a**4 - 7*a**3/3 - a**2 - 3*a + 18. Calculate the smallest common multiple of 12 and x(-3).
48
Suppose -2108 = -4*h + 2*p - 4*p, 4*h + 5*p - 2114 = 0. Let y = -4293/8 + h. Calculate the common denominator of -1*(-1)/(30/(-201)) and y.
40
Find the common denominator of 300/720 - (4 - -1) and 125/6.
12
Let b(k) = k**2 - k - 39. Suppose -n - 3*d + 41 = -2*d, 197 = 5*n - 3*d. Suppose -3*j + n = 2*j. What is the least common multiple of j and b(7)?
24
Let p(w) = -6*w + 30. Let q(k) = -2*k + 10. Suppose 4*c - 6 = c. Let x(y) = c*p(y) - 7*q(y). Calculate the least common multiple of x(7) and 10.
20
Suppose 6*u - 13 = 5. Find the common denominator of (-2)/u + 415/(-120) and -49/62.
248
Suppose 0 = -6*j + 3*j - 396. Let v be -3 - (-1)/(j/(-219)). Let t = v - 5/66. Find the common denominator of t and -113/18.
36
Suppose 3*k - 1 = -3*h + 4*k, 3*k = 2*h + 4. Calculate the common denominator of 17/20 and ((-174)/(h + -3))/4.
20
Let r(p) = -p**3 - 3*p**2 - 2*p + 2. Let d be (4/(-6))/(4/(-18)). Suppose -d*y + 16 = -2. Calculate the smallest common multiple of y and r(-3).
24
Suppose 4*p + 408 = -5*i, 0 = -0*i - 4*i - 3*p - 327. Let g = 163/2 + i. Find the common denominator of 46*(-34)/(-160) + (-98)/245 and g.
8
Let p = 7324 - 131797/18. What is the common denominator of -37/360 and p?
360
Suppose 198 = -20*x + 18*x. Find the common denominator of (-27)/x*26/(-3) and -23/11.
11
Let f be (3 - -6*(-3)/6)/2. Suppose f = -4*a + 50 + 102. What is the least common multiple of 10 and a?
190
Let k = -246 + 166. Let a = 100 + k. Calculate the smallest common multiple of a and 44.
220
Let o = 598 - 582. Calculate the least common multiple of o and 4.
16
Find the common denominator of 125/6 and (1 - (-554)/(-552))*510/4.
552
Suppose 5*z + y - 237 - 269 = 0, 5*z - 5*y = 530. What is the smallest common multiple of z and 102?
102
Let c(g) = -178*g**3 - g. Let p be c(2). Let k = -5613/4 - p. Find the common denominator of k and ((-99)/(-6))/(0 + 1).
4
Suppose 116*z - 121*z = -5. What is the lowest common multiple of 10 and (0 - (9/(-5))/z)*5?
90
Let d = -413841/20 - -20687. Find the common denominator of -91/12 and d.
60
Suppose -5*t + 9 + 56 = 0. What is the lowest common multiple of t and 10?
130
Let l = -11884259/4344758 - -2/127787. What is the common denominator of l and -65/2?
34
Let a be ((-2)/(-216))/((-220)/(-33)). Let x = -9239/720 - a. Calculate the common denominator of 109/20 and x.
60
Let v(o) = -7*o + 51. What is the lowest common multiple of v(7) and 9?
18
Let t = 176 + -9. Let z be -3*(4 - (-45)/(-9)). Calculate the common denominator of 89/2 and z + (t/18 - 4).
18
Let q be ((-2)/(-52))/((-46)/(-4)). Let y = -3875/3588 - q. Let t = 22801/6 + -3822. Find the common denominator of y and t.
12
Let g(b) = b**2 + 4*b + 1. Let h be g(4). What is the common denominator of 466/(-60) - 11/h and 81/2?
10
Suppose 3*r = -r - 32. Find the common denominator of -5/8 and (-70)/r*(-30)/(-21).
8
Let l be -4 + (-1615)/(-273) + -2. Let w = l + 1034/39. Let x = 222/7 - w. What is the common denominator of -24/11 and x?
77
Let w = -2077 - -25033/12. Let z = -3607/6 - -603. What is the common denominator of w and z?
12
Let f(i) = -4*i + 5 + 5*i + 6*i. Let q be f(-2). Let k = 29 + q. Calculate the least common multiple of k and 2.
20
Let u = 1965 + -206321/105. Let l = -1697/2310 - u. Let w = -32647/3906 + 80/279. Find the common denominator of l and w.
154
Let m = -10449/16 - -656. What is the common denominator of m and 95/8 - 3*6/(-72)?
16
Suppose -40 = -4*m + 15 + 85. Calculate the common denominator of (-2)/(-7) - 197/(-21) and m.
3
Let b(a) = 26*a**2 + 5*a - 6. Let c(o) = -54*o**2 - 9*o + 11. Let z(q) = -11*b(q) - 6*c(q). Calculate the least common multiple of z(-1) and 75.
975
Suppose -2*l = -2*w + 82, 5*w - 2*l + l - 225 = 0. Find the common denominator of -53/115 and w.
115
Let z(w) = -2*w + 1. Let l be z(1). What is the lowest common multiple of (53 + -49)*(3 + 1) and (4/2)/2 - l?
16
Let q = -79/216 + 11/27. Find the common denominator of 89/108 and q.
216
Calculate the common denominator of (3784/(-1650))/((-78)/15) and -59/36.
2340
Suppose -3*m + 81 = 3*z, z = -3*m + 2*z + 69. Suppose -b - m = -4*b. Calculate the lowest common multiple of b and 13.
104
Suppose 3*m + 19 = 1. Let x = -282105/7142 + -2/3571. Calculate the common denominator of 856/48 - (-4)/m and x.
6
Let n = -383 - -431. What is the smallest common multiple of 40 and n?
240
Let p be (-3)/(-12) + (-112327)/20. Let m = -9432 - -3806. Let d = p - m. Find the common denominator of d and -9/7.
70
Let m = -4607 - -2772. Let v = 7389/4 + m. Let u = 3967/595 + 4/85. What is the common denominator of u and v?
28
Let v be (-228652)/(-48)*(1 + -2). Let x = v + 4772. Calculate the common denominator of x and -29/10.
60
Let s(w) = -12*w - 63. Calculate the smallest common multiple of s(-6) and 39.
117
Let g = 728 + -716. Calculate the smallest common multiple of 22 and g.
132
Let s = 1933/180 - -31/90. Calculate the common denominator of (-102)/(-90)*5 - (0 + 4) and s.
12
Let j(q) = 11*q + 1. Let i be j(1). What is the lowest common multiple of (0 + -1)*(-5 - (3 + 10)) and (i/(-10))/((-7)/70)?
36
Let f be 5 - 78/16 - -4072. Let u = f + -4067. Calculate the common denominator of u and 59/10.
40
Let a = -1964427 + 27536121/14. Let p = a - 2445. Find the common denominator of p and (16/(-14))/((-2)/(-40)*4).
14
Suppose -4*l - 4 + 12 = 0. What is the common denominator of 53/15 and l/16*-2 + 182/(-72)?
45
Suppose 0 = x - 5*x - 4. Let h be -4 - (x + 536/30). Let q = -53/15 - h. Calculate the common denominator of q and -137/6.
6
Let x(p) = -151*p**2 - 6*p - 6. Let c be x(-4). What is the common denominator of ((-2)/10)/(78/(-525)) and c/684 + 8/(-76)?
234
Suppose 19 - 7 = 2*c. Let n = c - 1. What is the common denominator of (n/(-140))/((-2)/(-348)) and 83/10?
70
Let d(a) = a**3 - 3*a**2 - 4*a - 1. Let g be d(4). Let z(i) = -14*i**2 + i - 1. Let h be z(g). Find the common denominator of 69/20 and (678/(-105))/(h/20).
140
Let i = 3283268745/244 - 13456041. Let j = -12/61 + i. What is the common denominator of (-6)/(-16)*(1 + (-290)/6) and j?
4
Let j = 34869/88 - 4250/11. Calculate the common denominator of -107/126 and j.
504
Let k = 797 + -601. Calculate the least common multiple of k and 245.
980
Suppose -3*g - 2*x = -10 - 28, 2*g - 4*x = 20. Calculate the least common multiple of 570 and g.
1140
Let m(a) = a**2 + 6*a - 17. Let o(s) = -s**2 - 5*s + 18. Let l(j) = -2*m(j) - 3*o(j). What is the smallest common multiple of l(-7) and 12?
24
Find the common denominator of -53/44 and (-2013)/(-880) - 6/10.
176
Let g(l) = 3*l**2 + 4*l. Let p be g(-4). Suppose -10*i + p = -6*i. Calculate the smallest common multiple of -4 - -7 - -1*3 and i.
24
Let m = 30306 - 20643. Let n = -18/40153 + -3883638133/401530. Let h = m + n. Find the common denominator of -71/12 and h.
60
Let s(h) = -17*h - 1. Let k be s(1). Let o = -15 - k. Suppose 3*z + 19 = 4*z. Calculate the least common multiple of z and o.
57
Suppose -9*m - 21 = -5*z - 7*m, 2*z - 2 = 4*m. Find the common denominator of ((-2)/z)/((-1)/(-17)) and -5/7.
35
Let c = 132677/18 - 7378. Calculate the common denominator of -93/32 and c.
288
Calculate the least common multiple of 396 and ((-99)/66)/((-2)/8) - -18.
792
Suppose 10*g + 19 = 15*g + h, 3*g = -3*h + 9. Calculate the lowest common multiple of 3*(-3)/9*2 - -56 and g.
108
Let i = -17/287 - -18859/3444. What is the common denominator of 33/20 and i?
60
Let y be (-4)/26 - (-222)/(-78). Let w be y/(-9)*(-8 - 1). Calculate the common denominator of 6 + w - 47/6 and -44.
6
Let w(r) = -r**3 + 6*r**2 - 5*r + 1. Let v be w(6). Let s = -20 - v. Suppose 0 = -u + s. Calculate the smallest common multiple of 8 and u.
72
Let a(t) = -t**3 - 26*t**2 - 50*t - 36. Calculate