 (-838)/456 and (-11 + (-57)/(-6))/((-2)/(-3)).
76
Suppose -6 = -2*k - k. Suppose 2*w - 3*a = -0*w - 20, -12 = -k*w - 5*a. Let m = 24 + w. What is the least common multiple of m and 20?
20
Let p(g) = -64*g - 63. What is the smallest common multiple of 912 and p(-1)?
912
Let h = 12370894/2985 + -371/1990. Let w = 4162 - h. What is the common denominator of -91/36 and w?
36
Let n = 7772 - 62253/8. Let z = 52/133 + -1315/2926. Find the common denominator of n and z.
616
Let l = -232055/293 - -792. Let p = l - -17283/1172. What is the common denominator of 1 - 0 - 71/16 and p?
16
Find the common denominator of 113/6300 and ((-4)/(-7))/(561/(-4046))*(-12)/(-40).
69300
Find the common denominator of ((-1404)/(-68) - 21)/((-12)/3) and -133/198.
3366
Let a(v) = -22*v**2 - v - 4. Let g be a(-2). Let b = 48/11 - -197/154. Find the common denominator of b and g/(-35) - 3/(-6).
14
Let b(r) = 10*r**2 - 29*r - 225. Calculate the least common multiple of 164 and b(-7).
19188
Let v = 183311/29286 - -30/1627. Find the common denominator of 11/(-42) - (1 - -1) and v.
126
Suppose -5*f = -k + 5, 3*f - 4*k = -f - 20. Suppose f*c - 4*c = 108. What is the least common multiple of (8/(-6))/(3/c) and 22?
132
Find the common denominator of 11/(-4)*(-285)/(-1235) + -1 and 47/3458.
6916
Let j = -1 + -2. Let q(f) = f**3 + 4*f**2 - 1. Let m = 40932 - 40924. What is the least common multiple of q(j) and m?
8
Let m = 1638 - 1604. Let n(u) = u**2 + 13*u - 32. What is the smallest common multiple of n(-17) and m?
612
Suppose 4*s - 5*p - 1175 = 0, -713*s - 3*p = -712*s - 315. What is the lowest common multiple of 350 and s?
2100
Let u(j) = j**3 + 11*j**2 + 27*j - 10. Let c be u(-5). Suppose c*o + 2*i - 538 = 0, 2*o + 2*i + 4 = 218. What is the least common multiple of o and 36?
108
Let k = 41 + -34. Suppose -8 = -k*o - o. Calculate the least common multiple of (-23 + -2 - 1)/(-2) and o.
13
Suppose -5*h - 5 = 0, -3*h + 38 + 35 = 4*o. Let m be 0/(-2 + 0 - -4). Suppose 4*y - 71 + o = m. What is the smallest common multiple of y and 1?
13
Let o = 258 - 255. Suppose -76 = -2*v + 4*g, -3 = 2*g - o*g. What is the smallest common multiple of 132 and v?
132
Let k = -2/5543 - -249479/121946. Let x be 2/(-1240)*123 - 58/(-145). Let p = -1729/496 - x. Calculate the common denominator of p and k.
176
Let d be (288/(-27))/((-20)/576). Let i = d - 305. Calculate the common denominator of i and 45/137.
685
Calculate the common denominator of 12 + (-261)/27 - 6802/2886 and -61/21.
10101
Suppose 29*y - 2217 = -3*z + 32*y, z - 5*y = 731. What is the smallest common multiple of z and 366?
90402
Let r(b) = -b**3 - 6*b**2 + 2. Let c be r(-6). Let y be (4/(-136))/(c/(-31)). Let s = y - 2245/748. What is the common denominator of s and -121/6?
66
Calculate the common denominator of 129/340 and (5 + (-3072)/400)/(8/(-10)).
340
Let c be -1*((-18)/15)/(2/5). Suppose -c*x + r = -1 + 25, 3 = -r. Calculate the least common multiple of x*(-5 - (1 + 0)) and 6.
54
Let c be -5 - (0 - -1) - (33 - 3188). Suppose 0 = 15*i - c + 479. What is the lowest common multiple of i and 1?
178
Let g be (-18)/4*(6 - (-256)/(-24)). Suppose -g*w + 14*w + 42 = 0. Suppose -2*r - 18 = -4*r. Calculate the lowest common multiple of r and w.
18
Calculate the common denominator of 77/2 and (-254)/(-1917)*(11 + 945/(-84)).
3834
Let t = 1317 - 2145. Find the common denominator of 14/((264/20)/((-48)/32)) and (4/(-6))/((-80)/t).
110
Let r = -279 + 261. Calculate the least common multiple of 40 and 1/(-9) - (1064/r + 4).
440
Let j(x) = x**3 + 10*x**2 - 12*x - 3. Let z(u) = u**2 - u + 1. Let v(a) = -j(a) + 6*z(a). Calculate the smallest common multiple of v(-5) and 8.
8
Let p = 125 - 77. What is the smallest common multiple of p and 240?
240
Let r be 80/24*(3094 + 3/(-3)). Find the common denominator of 9 + r/(-630) - -6 and -77/45.
315
Suppose p + 2 = 2*g, -5*p - 8 = -3*p - 2*g. Let t(v) = -30*v - 164. What is the lowest common multiple of 16 and t(p)?
16
Let z = 3575 + -2339. Calculate the least common multiple of 3 and z.
1236
What is the common denominator of 13/24 and (24/(-10))/(-6) + (-1908)/945?
168
Let i = 645 + -631. Calculate the smallest common multiple of i and (-606)/(-10) - 3 - 2/(-5).
406
Suppose 6*v - 11*v = 3*x - 267, -4*x + 104 = 2*v. Let i(r) = -12*r - 48. What is the least common multiple of v and i(-7)?
108
Suppose 295*k = 293*k - 3*w + 39, 14 = 2*k - 2*w. What is the lowest common multiple of 102 and k?
204
Let x = 10438 - 720227/69. Find the common denominator of 17/552 and x.
552
Let j = -135 + 99. Let l = 63 + j. Suppose 3*w = 3*p, -18 = -3*p - p - 2*w. Calculate the least common multiple of l and p.
27
Let y(l) = -4 - 4 + l**2 - 2*l**2 + 15*l - 3. Let o(j) = 12*j**3 - 3*j**2 + 3*j - 1. Let m be o(1). Calculate the least common multiple of 10 and y(m).
330
Let c = -1236/4403 - -2144341/5019420. Calculate the common denominator of -1/1254 and c.
12540
Let b = -43 - -47. Suppose b - 6 = 2*p. Let i(d) = -5*d**3 - 2*d**2 + 1. Calculate the least common multiple of i(p) and 5.
20
What is the common denominator of -163/294 and 35/42*(-1876)/(-70)?
294
Let s = 16 + -16. Let v(t) = -2*t**3 - 2*t**2 - 2*t + 5. Let a be v(s). Suppose 0*j - 2*j - 5*w = -a, -7 = -j - w. What is the least common multiple of j and 5?
10
What is the common denominator of 83/1246 and 2686/712 - (139 + -135)?
2492
Let j = -1 + 2. Let p = 26697 + -26685. Calculate the smallest common multiple of j and p.
12
Suppose -224 = -156*v - 31*v + 150. Let a = -7 - -21. Let h = 0 + a. Calculate the lowest common multiple of v and h.
14
Let z = 674078966/6619 + -101840. Let a = z + 3800/10411687. Let h = -44050/4719 + a. What is the common denominator of h and -65/9?
9
Let g(i) = -i**3 - 52*i**2 - 329*i + 14. What is the smallest common multiple of g(-7) and 136?
1904
Suppose -7*o + 151 = 39. Calculate the least common multiple of o and (1 - 2)/(2/6)*1/(-3).
16
Let j(s) be the third derivative of s**4/12 + 101*s**3/6 + 125*s**2 - s. Calculate the lowest common multiple of 117 and j(-37).
351
Let f = 56196/71 + -78212123/98832. Let s = -16/87 - f. Calculate the common denominator of s and 77/16.
16
Suppose 40*o = 41*o - 100. Suppose -4*x + o = 2*y - 96, 5*x = y + 238. Calculate the least common multiple of x and 8.
48
Suppose -81*c - j - 39 = -86*c, -7*c - 3*j = -59. What is the least common multiple of 6 - 2/4*2 and c?
40
Let f = -119 - -114. What is the smallest common multiple of (-40)/(-4 - 0) - -4 and (20/(-25) - 1)*f?
126
Let w = 1310/3 - 891/2. Calculate the common denominator of 0 + ((-138)/(-16) - -2) and w.
24
Let x(d) = -d**3 - 12*d**2 - 29*d - 16. Let a be x(-9). What is the smallest common multiple of (a + (-70)/20)/((-1)/18) and 0 - 1*(2 - 4)?
54
Let b(p) = 6*p**2 + 27 + 5*p**3 - 7*p**2 - 4*p**3. Let z be b(0). Suppose 10*o = 43 + z. Calculate the least common multiple of o and 4.
28
Let k = -21 - -48. Let p be 0 + 53 - (-3 + 5). Let r = p - k. Calculate the smallest common multiple of r and 4.
24
Let i = -1360 + 5383/4. What is the common denominator of -19/3620 and i?
3620
Let b(c) be the second derivative of -7*c**3/6 + 3*c**2/2 - 16*c. Let u be b(1). Find the common denominator of 3 + u/((-1312)/(-1100)) and -89/18.
738
Let p be 6/(81/108 + (-11631)/(-60)). Let h be -1 - (61899/19460 + -1). Let z = p + h. Find the common denominator of z and 67/2.
20
Suppose -8 = 5*v + 17. Let c(y) = y**3 - y**2. Let k be c(-2). What is the smallest common multiple of 5 and (v/2)/(3/k)?
10
Let x(q) = -2*q**2 + 10*q + 10. Let k be x(-6). Let c(n) = -n**2 + 11*n + 4. Calculate the lowest common multiple of (k/4 - -1)/((-40)/160) and c(9).
1298
Calculate the common denominator of 59/18 and ((-4)/24 - 0)/(20/970).
36
Let d be (-8)/(-6)*(-39)/26. Let q be d/(-6) - (-4)/(-12) - 6. Let h(i) = -i**2 - 11*i - 14. What is the lowest common multiple of h(q) and 18?
144
Calculate the common denominator of (12075/(-112))/(-23) - 3 and ((-1)/(-12))/(11/(-51)).
176
Let m(z) = -1042*z + 4375. Calculate the least common multiple of m(4) and 228.
15732
Let i = 12281923/10360 - -144/1295. Let u = -1195 + i. Calculate the common denominator of u and 9/8*(-5)/(-3).
8
Find the common denominator of -79/32 and (-9)/((-7290)/(-3045))*(-12)/1456.
3744
Let k = 5413/435 + -212/15.