Calculate the lowest common multiple of 90 and x.
180
Let v = -383371/51358340 - -1/76540. Find the common denominator of v and 17/671.
671
Suppose -220 = 4*s - 3*n, -2*s + 3*n = 3*s + 275. Let m = s - -43. Find the common denominator of 68/3 and (0 - (-186)/(-27))/((-8)/m).
3
Let m be ((756/(-45))/2)/(6/196). Let f = 426843 - 19195772/45. Let g = m + f. Calculate the common denominator of g and -73/6.
18
Let d(b) = 8*b**2 - 321*b + 888. What is the lowest common multiple of d(42) and 138?
1518
Let o = -39887 + 398047/9. Let m(y) = 273*y**2 + 7*y + 6. Let i be m(-4). Let l = o - i. What is the common denominator of -40/19 and l?
171
Suppose 0 = -10*r + 635 + 2885. Suppose 49*p + r = 57*p. Calculate the lowest common multiple of 64 and p.
704
Suppose -752 = -4*o - 152. Find the common denominator of o/250 - (31/12 - -1) and -121/60.
60
Let o be 5/55 - 130972/308. Let v = o - -8959/21. Find the common denominator of -73/126 and v.
126
Let d = -148 - -136. Let x = 469/180 + 22/9. What is the common denominator of (-411)/(-6)*2/d and x?
60
What is the common denominator of 3 - -44*(-1348)/19440 and -29/30?
2430
Suppose -f = 4*n - 41, 0 = n - 4*f - 6. Let w be 19 + (1 - 6) + 0. Let i = w - 13. What is the lowest common multiple of n and i?
10
Let p = 1959 + -3476. Let a = p - -47057/31. What is the common denominator of (-7)/(-140)*46*1 and a?
310
Let c(t) = -t**2 + 9*t + 56. Let h be c(-4). Suppose -2*a = 4*g - 38 + 18, -4*a = -h*g - 76. What is the least common multiple of 32 and a?
32
Suppose 11569 = 11*d + 5827. What is the smallest common multiple of d and 783?
1566
Calculate the common denominator of 52/3 and -1 + -11 + (-30560)/(-2568).
321
Find the common denominator of -28/13 and (-101)/17 - ((-6)/4)/((-6)/(-16)).
221
Suppose 57 + 63 = -15*o. Calculate the least common multiple of 12 and (-2 + o)*((0 - -2) + -3).
60
Calculate the least common multiple of (35631/45 + -1)/(22/10 - 2) and 2.
3954
Let w be (1 - -2) + 4*18/(-24). Suppose 3*l = o - 9, w = -o - 4*o + l - 11. What is the smallest common multiple of 6 and o/(-15)*5 + 17?
18
Suppose 5*m - 9 - 3 = 4*o, -5*o + 30 = 5*m. Suppose m*q = 8*q + 4. Calculate the common denominator of -8 and 1 - q*(-159)/33.
11
Find the common denominator of -31/71 and 66/(-213)*528/(-960).
710
Let c(k) be the third derivative of k**5/60 + k**4/6 - k**3 - 49*k**2. Let p be c(-5). Calculate the least common multiple of 8 and 10 - p - (2 - (-1)/(-1)).
40
Let f be -1*(-35)/(-15)*-144. Suppose -32*v + f = -28*v. What is the lowest common multiple of 33 and v?
924
Suppose -26*y - 4633 - 13151 = 0. Calculate the common denominator of 61/4 and (6 - y/(-30))/((-6)/4).
20
Let w(m) = -22*m - 103. Let a be w(-5). Suppose a*i - 69 = 3*i + d, 2*d + 12 = i. Calculate the lowest common multiple of i and 399.
2394
Let q(x) = -6*x**3 - 38*x**2 - 78*x + 80. Calculate the smallest common multiple of q(-3) and 1474.
1474
Let i = -934 - -1750. Calculate the least common multiple of i and 33.
8976
Suppose 3*y + 26 = -1. Let u(i) = -6*i + 62. What is the smallest common multiple of u(y) and 18?
1044
Let h(l) be the third derivative of 7*l**5/30 + 11*l**4/24 + 53*l**3/6 + 26*l**2. What is the smallest common multiple of 16 and h(-5)?
1392
Let v = -27 + 71. Let h = -1615/2 + 4062/5. Calculate the common denominator of (-275)/v*6/(-70) and h.
140
Let y = -94357/1800 - -2338/45. What is the common denominator of y and (-2)/(-1) + 66/(-20)?
200
Suppose -f - 2*c + 1628 = 3*f, 0 = 3*f - c - 1216. What is the least common multiple of f and 4?
812
Let y(s) = s + 7. Let h be y(-8). Suppose -3*j + 6 = 0, 28*d - 23*d + 1 = -2*j. What is the common denominator of -67/33 and d/2*h + 1040/192?
132
Let i = 61 + -56. Suppose 0 = 5*x - 15 - i. Let b = 2 + 13. Calculate the smallest common multiple of b and x.
60
Let m be (-4)/(-10) - 231/15. What is the common denominator of (77/11)/(-7) - (-1)/((-18)/44) and 3/(-9) - 94/m?
45
Let u(a) = a - 1. Suppose 0 = 11*x + 16604 - 16802. Calculate the lowest common multiple of u(3) and x.
18
Suppose -6*n + 228 = -132. Calculate the common denominator of 5/42 and (2/140*4)/(n/2725).
42
Let k = 244891/18 - 13597. What is the common denominator of k and 59/1830?
5490
Let a(x) = -x**3 - 17*x**2 + 122*x + 160. What is the smallest common multiple of 2 and a(-24)?
1264
Let f = -319293/5452528 - -1/10993. Find the common denominator of f and -1/12.
1488
What is the common denominator of -9/14 and (-15)/(-70)*10807/19260?
840
Suppose -24 = 4*x, 5*x = 16*n - 20*n + 70. Calculate the smallest common multiple of n and 200.
200
Let i be (14/(-35))/(2/(-80)). Let d = i + -14. Calculate the smallest common multiple of ((-3)/6)/(((-145)/(-120))/(-29)) and d.
12
Suppose -24 = 2*l + 3*k - 102, 5*k + 220 = 5*l. Calculate the common denominator of 11/20 and ((-4807)/(-920))/(l/(-8)).
420
Let h be 280/(-448)*(2/2 - -1209). Let y = h - -760. What is the common denominator of -85/26 and y?
52
Suppose 16*m - 3886 = -42*m. Calculate the smallest common multiple of m and 19.
1273
Let b be 486010029/36 - 5/(-15). Let f = b + -13511281. Let t = 10994 + f. Find the common denominator of t and 61/14.
84
Let d(v) = -v**3 + 3*v**2 - v - 2. What is the least common multiple of (-3 + -1 + -1)/((-115)/138) and d(-3)?
330
Let a = -93 + 96. Let p = -34743 - -4725091/136. Calculate the common denominator of p and ((-43)/(-12) - 1)/((-1)/a).
136
Suppose -31 = -4*y - 19. Let z = -62 + 100. Suppose 0 = m + 5*l - z + 15, -y*l = 3*m - 21. Calculate the least common multiple of m and 15.
15
Suppose -2*h - 5*w = -27, -4*w - 3 + 23 = 0. Calculate the least common multiple of (2 + 4/(-3))*(h - -2) and 102.
102
Suppose 0*g - 2*m = -4*g - 16, 0 = -3*g - 5*m - 12. What is the common denominator of -2*1 + (-1323)/210 and 16/24*31/g?
30
Let r be ((-1)/((-21)/(-1771)))/(2/(-1044)). Let f be -2 + 1437/r*211. Let m = f + -16/667. Calculate the common denominator of 1/6 and m.
66
Let z = 4 + -39. Let n be (-14 + 17)/(1/((-28)/3)). Let t = n - z. Calculate the lowest common multiple of 8 and t.
56
Suppose m = 3*m + 2, -5*h = 3*m + 23. What is the lowest common multiple of 4 and ((-144)/(-10) + h)/((-10)/(-25))?
52
Let d(m) = -3*m**3 - 4*m**2 + 8*m + 11. Let v be d(8). Let q = v - -12000/7. Find the common denominator of q and 1 - (-3 + (-47)/(-8)).
56
Let z = 210885 - 1116846967/5296. Find the common denominator of -33/32 and z.
10592
Let c be -2*(63/42 + -2 + 1). Let n be c*2*64/(-16). What is the common denominator of 2/n + 30/(-16) and 67/40?
40
Suppose 213*o - 22760 - 187669 = -96*o. What is the smallest common multiple of o and 378?
85806
Suppose 1186*p - 5060 = 1163*p. What is the lowest common multiple of p and 484?
2420
Let n be (-117 - -4 - 5)/(-1 - 1). Let f = 107 - n. What is the smallest common multiple of 36 and f?
144
Let h(z) = 16*z**2 + 114*z - 31. What is the lowest common multiple of h(-10) and 312?
3432
Calculate the common denominator of (99 + -97)/((1208/29)/2) and -9/22.
3322
Let t = -26 + 44. Let a = 18 - 3. Let h = a + 9. Calculate the smallest common multiple of t and h.
72
Let n = -36137 - -180083/5. Let m = 71 - -42. Let d = m + n. Find the common denominator of d and -48/7.
35
Let s = -5554 - -16339. Calculate the lowest common multiple of 55 and s.
118635
Let u(a) = 3*a**2 + 33*a + 66. Let q be u(-10). Suppose -21*j - 240 = -q*j. Calculate the smallest common multiple of j and (6 + 0)/((-2)/(-4)).
48
Suppose 3*f = -14*p + 18*p + 10, 20 = 2*f + 4*p. Suppose -7 = f*z - 37. What is the smallest common multiple of 209 and z?
1045
Let i = 138 + -54. Let d = i + -64. Calculate the smallest common multiple of d and 60.
60
Let d(b) = -b**3 - 7. Let g be d(-3). Suppose -g = -4*n + 8. Suppose 2*s = 3*u + u - 6, 5*s + 8 = 3*u. Calculate the smallest common multiple of u and n.
7
Suppose 4*g = -l - 0*g - 6, l + 5*g = -6. Let b(s) = 2*s**2 + 8*s - 15. Let p be b(l). Suppose 235 = p*k - 89. Calculate the least common multiple of k and 32.
288
Let j(q) = -154*q + 8992. Calculate the least common multiple of 48 and j(48).
4800
Let d be (-1076)/(-8) + 1/2. Let o = -69 + d. What is the common denominator of -101/22 and (-6 - -5)*177/o?
22
Let k = 79 - 123. Let c = k - -46. What is the smallest common multiple of (-10)/20 - 18/(-4) and c?
4
Let u b