23. Suppose 0 = -5*t - 3*o + 117, -8*o + k = t - 4*o. Calculate the lowest common multiple of 72 and t.
72
What is the least common multiple of 54 and 84/18 + -4 + -1 + 398/6?
594
Suppose 44 = 3*s + 4*d, -2*s = -8*d + 12*d - 32. Calculate the least common multiple of s and 6.
12
Let i(j) = -j**3 - 4*j**2 + j - 6. Let h be i(-5). Calculate the smallest common multiple of ((-1)/((-7)/(-60)))/((-285)/1330) and (18/(-7))/((-3)/h).
120
Suppose -105 = 100*d - 115*d. Let j(z) = -z**2 + 22*z - 44. Calculate the least common multiple of j(11) and d.
77
Let r(b) = -b**3 + 5*b**2 + 2*b - 7. Let l be r(5). Find the common denominator of ((-4)/108)/(2/146) and l + -1 - (-4 - (-82)/18).
27
Suppose 4*h - 4*l = -64, -l = -h + 3*l - 22. What is the least common multiple of (-7)/h*(0 + -8) + 9 and 4?
20
Let t(h) = 2 + 0*h**3 - h**3 + 2*h - 52*h**2 + 51*h**2. Let y be t(0). Suppose y*i = -0 + 12. What is the smallest common multiple of i and 68?
204
Let h = -481/5 + 3783/40. Let v = -2/4825 + 95539/9650. Find the common denominator of v and h.
40
Calculate the common denominator of -55/5213 and (1539/7524)/(3/28).
57343
Suppose 3*l + 10271 - 66653 = -3*u, u + 37594 = 2*l. Let f = 526179/28 - l. Calculate the common denominator of (-51)/(-44) - -1 - 1 and f.
308
What is the common denominator of 99/8 and ((-2769)/208 + 24)/((-2073)/4)?
5528
Suppose 4*a + 3*r = 38 + 4, 0 = -a + 5*r + 22. Calculate the least common multiple of 678 and a.
1356
Let x = -2 - -911. Calculate the lowest common multiple of 707 and x.
6363
Calculate the least common multiple of 3 and (19 + -6)*(3522/114 - 12/(-114)).
1209
Let v = -6 - -10. Let c(x) be the third derivative of x**5/20 - x**4/3 + 4*x**3/3 - 2573*x**2. What is the least common multiple of 18 and c(v)?
72
Suppose -7*o = 4*a - 2*o - 87, -o + 93 = 5*a. Suppose -a - 14 = -n. What is the smallest common multiple of 20 and n?
160
Suppose -4*p - p + 32 = -3*d, -d + 3*p = 16. What is the common denominator of 99/10 and 1/d - ((-10725)/962 - -11)?
740
Suppose -j - 3*m - 2772 = 295, m = -2*j - 6124. Let l = j - -21480/7. Find the common denominator of 43/42 and l.
42
Let c(r) = -4*r + 3*r - 2*r + r - 3. Suppose 0 = -17*i + 116 - 48. What is the least common multiple of i and c(-7)?
44
What is the common denominator of (2 + 1368/(-126))/(5330/14) and -81/2132?
10660
Suppose -5 + 93 = 4*f. Let a(z) = z**2 + 4*z - 30. Let x be a(4). Suppose -44 - f = -x*h. Calculate the smallest common multiple of h and 30.
330
Let b = 88541/20 - 4425. Let t = 1/17572 - 188901/35144. Find the common denominator of b and t.
40
Let f(p) = p**3 + 16*p**2 + 4. Suppose -5*q + 0*q + 22 = -v, v - 18 = -5*q. Let s(j) = 3*j + 4. What is the least common multiple of f(-16) and s(q)?
16
Let v = 137 - 2760. Let n = v + 36823/14. Let w = 84971/10 + -8485. What is the common denominator of n and w?
70
Suppose -3*f = -2*f + c + 5, 5*f - 4*c = -43. What is the common denominator of -113/6 and ((-52)/84 - -1)*(f + 4)?
42
Calculate the common denominator of (-1 - -4 - 270/80)*(-948)/(-36) and 67/308.
616
Let o(q) = -2*q - 4. Let i be o(-6). Let h = 1395/2 - 29363/42. What is the common denominator of h and 143/i*12/45?
210
Suppose 8*d = 2954 - 8626. Let o = 1471/2 + d. Calculate the common denominator of o and 5/23.
46
Let i(o) = -o**3 - 18*o**2 - 79*o - 12. Let g be i(-11). Find the common denominator of g/12 + (-1995)/3762 and -65/6.
66
Let q = 2533 + -2258. Calculate the lowest common multiple of 150 and q.
1650
Let w(n) = 23*n + 142. Let z be w(-6). What is the least common multiple of z/14 + 1363/203 and 10?
70
Let i(y) = -140*y - 1712. What is the lowest common multiple of i(-28) and 30?
11040
Suppose 5*d - 22*d = 0. What is the smallest common multiple of (d/2)/(-7) + 63 and 42?
126
Suppose 0 = -10*h + 11*h + 19. Let c = -8 - h. Suppose -4*p = -c*p + 42. Calculate the lowest common multiple of p and 16.
48
Let a = -8176 + 441523/54. Calculate the common denominator of a and -35/99.
594
Find the common denominator of ((-17545)/170)/(-11) + -2 - ((-506)/44 - -16) and ((-8)/10)/(12/(-190)).
51
Suppose 2*w - 148 = -2*v, 72 - 2 = w + 2*v. Suppose 136 + 14 = 5*b. Calculate the least common multiple of b and w.
390
Let w(m) = 2*m**2 + 10*m + 10. Let d be w(-2). What is the least common multiple of 4 and ((-96)/(-165) + d/11)*15?
12
What is the least common multiple of (6*(-8)/(-84))/(4/1274) and 63?
1638
Let y be (-4)/26 - (-267)/(-39). Let z(i) = -2*i**2 - 14*i + 20. What is the smallest common multiple of 16 and z(y)?
80
Let y = -2/1239 - -3073967/4956. Let c = -615 + y. What is the common denominator of -17/44 and c?
44
Let b(g) = g**2 + 65*g + 142. Calculate the least common multiple of 40 and b(-71).
2840
Let a(k) = 51*k**2 + 38*k - 163. What is the least common multiple of 1771 and a(4)?
8855
Calculate the least common multiple of 1158 and (-56)/(-48) + 2535/234.
2316
Let g be 42/405*-155211 - 6. Let w = g - -16103. Find the common denominator of w and 85/12.
180
Suppose 5*t - 538 = 3*y, 0 = -8*y + 6*y + 8. Let m = t + -104. What is the smallest common multiple of m and 52?
156
Let b be (3/(-10))/((-2)/20). Suppose -x + 212 = 3*x - w, -258 = -5*x + b*w. Let z(c) = -c + 9. What is the lowest common multiple of x and z(5)?
108
Calculate the common denominator of (-22)/1260 + (-2)/9 and ((-7)/168)/(32/(-272))*28/(-7).
1260
Suppose 3*m - 3*j = 198, 0 = -2*m + 2*j + 3*j + 141. Calculate the least common multiple of m and 11/(396/(-168))*270/(-35).
252
Find the common denominator of -17/11 and 3 + -1 + 0 + (-6097)/3255.
5115
Let a be (1 - 1075402/28)/((-408)/(-32)). Let g = 3012 + a. Calculate the common denominator of 29/35 and g.
595
Calculate the common denominator of 4*(41/21 - 2) and 226/(-105) + (-598)/(-2093).
105
Let n = 59 + -57. Suppose n*v - v = 4. Suppose -v*k + 30 = -10. What is the least common multiple of k and 14?
70
Let i = 416 - 387. Suppose -i = -20*y + 271. Calculate the least common multiple of 105 and y.
105
Let l be (-9 - -3)*(-2)/(-6)*-26. Suppose 4*s + 2*x - l = 92, 4*x + 16 = 0. Let j = s + -26. What is the smallest common multiple of 32 and j?
96
Calculate the lowest common multiple of 3009 and 4/14*-2 + 130/7.
18054
What is the least common multiple of (3 - 41/1)*(-72 - -68) and 104?
1976
Let d be (-4)/(-2 + (-5)/(-3)). Let a = -2405 + 2405. Suppose 2*s + 2*c - d = -a*c, -2*s - 18 = -4*c. What is the least common multiple of 7 and s?
7
Let b = -3181/952 - 4/119. Calculate the common denominator of b and (3/177)/((-7)/2961*9).
472
Suppose -f + 10 - 1 = 0. Suppose 775*r - 4986 = 1214. What is the lowest common multiple of f and r?
72
Suppose -33*x + 2*x = -93. Suppose -1 + 4 = -s, 264 = x*y - 4*s. Calculate the lowest common multiple of y and 42.
84
Let s(o) = 195*o - 60. What is the lowest common multiple of s(6) and 3?
1110
Let z be 2/(-4) + (-369)/198. Let d = 293/110 + z. Find the common denominator of d and 23/9 + 4/2.
90
Let n(z) = z**3 + 39*z**2 + 37*z + 29. Let s be n(-38). Suppose -12*m + 283 = s. What is the least common multiple of 20 and m?
180
Let o = 494 + -489. Suppose -10*n + 12*n + 214 = 5*h, -o*h - 3*n = -229. What is the smallest common multiple of 5 and h?
220
Let h = -1008382631321/6440 + 156581152. Let b be ((-8)/(-1380))/(32/(-18)). Let g = b - h. What is the common denominator of g and 53/18?
126
Suppose 10*q - 8*q = 12. Suppose -11*y + q*y - 405 = -5*n, 2*n - 161 = y. Calculate the smallest common multiple of 11 and n.
880
What is the smallest common multiple of 28 and (((-66)/(-30) - 2)*12)/(2/185)?
3108
Let r = 95315/14478 + -1/9652. Find the common denominator of 121/4062 and r.
8124
Suppose 2*m + 5*y = 7, 3*m + 4*y - 3*y - 17 = 0. Calculate the common denominator of -59/42 and -2 - (998/(-126) + m/(-27)).
42
Let g be ((-7371)/6 - 5)*(-3 + 1). Let v = g + -9793/4. What is the common denominator of v and -9/116?
116
Let k = -10827/10 - -1085. Suppose -2*h = -45 - 103. Let f = h - 49. Calculate the common denominator of k and f.
10
Let k be 18/(-12)*46/3. Let d = k - -34. Calculate the lowest common multiple of d and (-1)/(6/(-60)*1).
110
Let r = 142 + -112. Calculate the common denominator of -25/16 and (198/r)/(1 - 12/(-20)).
16
Let q = -6/15047 + 44875/1173666. Calculate the common denominator of q and -25/78.
319