- c. What is the smallest common multiple of 3 and p?
6
Calculate the common denominator of 15/(-11) + 18/(-54) and (690/216 + -3)*32.
99
Calculate the common denominator of 15/30*-2*(-86)/(-8) and 18/(-30) - 11/2.
20
Suppose 0 = -5*y + 5*h + 1720, 0 = y + 3*y + 3*h - 1411. What is the lowest common multiple of y and 10?
3490
Let j be 3*((-56)/(-6) - 0/12). What is the common denominator of -24 and (156/j)/(6*2/8)?
7
Find the common denominator of -121/30 and 16 + -20 - 113/102 - -4.
510
Let b be ((-24)/(-30))/2*(-21 - -1). Let n(u) = -3*u + 26. What is the least common multiple of n(b) and 2?
50
Let t(n) = n**2 - 3*n + 1. Let c be t(2). Suppose 0 = -12*q + 9*q + 27. What is the lowest common multiple of 3 - c/(1/q) and 4?
12
Let r be (-303)/(-5830)*(-950)/12. Let z = -101/212 + r. What is the common denominator of z and -73/14?
154
What is the least common multiple of 12 and (-9 + -2)*(2 + 26)/(-7)?
132
Suppose 0 = -5*y + 16*y - 154. Let z = -12 + y. What is the smallest common multiple of z and 22?
22
Let v = 910 + -710. What is the lowest common multiple of 40 and v?
200
Suppose -c - c = 2, 5*q = -c + 19. Suppose 5*n = -2*r - 0*r + 21, -28 = -q*r + 4*n. Let d = 16 - r. Calculate the least common multiple of 12 and d.
24
Let r = 5253 - 220609/42. Let k be (-1082)/(-4 - (-90)/23). Let o = 273791/22 - k. Find the common denominator of r and o.
462
Let p be ((-1)/3)/((-4)/36). Let u be p*(1/1 - 0). Suppose -u*a + 2*a = -18. What is the least common multiple of a and 16?
144
Let x = 31 - 21. What is the lowest common multiple of 26 and x?
130
Suppose 204 = 4*n + 1104. Find the common denominator of -3 - (n/(-10))/(-5) and 1.
2
Find the common denominator of (22/(-6))/(-57*4/(-54)) and (-46)/8 + (-6)/2.
76
Calculate the common denominator of ((-68)/8 - 3/12) + 0 and -71/16.
16
Suppose 47 = -32*j + 399. What is the lowest common multiple of 8 and j?
88
Let l be 65/(-26)*-1*138. Let w = l + -3836/11. Find the common denominator of w and 1/28.
308
Let q = 300926/21 - 14327. Calculate the common denominator of 10/(-54)*(-24)/(-15) and q.
189
Suppose -5*c + 1565 = -5*p, -2*p + 4*c + 0*c - 636 = 0. Find the common denominator of -50/9 and (294/p)/(1/(-2)).
99
Suppose -3*j + 6 = 21. Let a(p) = p + 7. Suppose 4*z - 3*z = 2*r - 8, -16 = -4*r - 4*z. What is the least common multiple of r and a(j)?
4
Let h be ((-14)/156)/(3/(-1019583)). Let a = h + -30504. Let x = -134/65 - -3/260. Calculate the common denominator of a and x.
260
Suppose 0*u = 4*u - 16. What is the least common multiple of 54 - (6 - (4 - 0/(-5))) and u?
52
Suppose -2*j = m - 2*m + 76, 0 = -4*m - 5*j + 330. What is the smallest common multiple of m and 36?
720
Let f = 10298 - 46891/5. Let z = -932 + f. Calculate the common denominator of 69/8 and z.
40
Suppose -4*i = 4*i + 25088. Let m = 25055/8 + i. Find the common denominator of m and 8/11.
88
Let z(n) = n**2 + 13*n - 294. What is the lowest common multiple of 220 and z(-26)?
220
Let j = 217 - 187. Calculate the smallest common multiple of j and 6.
30
Let l = -20 - -13. Let u(q) = -q + 7. What is the lowest common multiple of u(l) and 6?
42
Suppose 0 = -f + 3*k + 4, 6*f - 22 = 3*f - k. Let l be (4 - 20/4) + (0 - -4). Suppose w = -l*w + 36. Calculate the lowest common multiple of w and f.
63
Find the common denominator of (-69)/(-6)*10/(-165) and -4/33.
33
Suppose -23*m - 63 = -24*m. What is the least common multiple of 12 and m?
252
Suppose -42 = -2*a - 2*a + 2*k, -57 = -5*a + 4*k. Let w = 426947/22 + -19402. Find the common denominator of w and (142/(-24))/((a/(-6))/3).
66
Suppose o = -54 - 7. Let z = 79 + o. What is the lowest common multiple of z and 8?
72
Let x = 37962 - 4517439/119. Find the common denominator of x and 13/153.
1071
Suppose r - 40 = -2*r + 4*v, 0 = 5*r + 4*v - 24. Let x = 0 + r. What is the lowest common multiple of 3 + (-4)/(-2) - -2 and x?
56
Suppose -13*z + 18*z - 80 = 0. Calculate the smallest common multiple of 32 and z.
32
Let l be (2/5)/((-5)/(-25)). Suppose 18 = 4*o - 3*f + 4, -l = f. Suppose 0 = 3*v - 3, -o*w = -3*w + 3*v + 4. What is the smallest common multiple of 6 and w?
42
Suppose -2*y + 106 = -2*s, -4*y - 2*s + 86 = -120. Calculate the smallest common multiple of 39 and y.
156
Let p(n) = n**3 + 6*n**2 - 17*n - 4. Let s be p(-8). Suppose 3*l - 14 = -5, s*c = -5*l + 87. Find the common denominator of -3 - c/(-19) - -3 and 53/4.
76
What is the common denominator of 15/2 and (18/(-20))/(19/152)?
10
Suppose 5*v = 4*a - a + 122, -20 = 5*a. Let h(u) = u**3 + 7*u**2 + 8*u + 12. Calculate the smallest common multiple of v and h(-5).
22
Find the common denominator of (77/168)/((-15)/(-12)) and -89/30.
30
Let p = 1738 + -57304/33. What is the common denominator of 6/4*228/(-243) and p?
297
Let n = 904 - 744. What is the lowest common multiple of 224 and n?
1120
Let v = 2530 + -1886. What is the least common multiple of 138 and v?
1932
Let q = 3787/10 - 380. What is the common denominator of -34/63 and q?
630
Suppose -5*p - n - 37 = -1, 3*p = -3*n - 24. Let g(u) = -19*u + 3. Calculate the common denominator of (-54 - (p + 3))/(-11) and g(2).
11
Let i = -619799/22 + 28168. Let p = 144253/130318 - -5/2833. Calculate the common denominator of p and i.
506
Suppose 0 = 30*n - 7*n - 46. What is the common denominator of -23/27 and (-28)/42*n/60*53?
135
Let r = 15569863776899167/2139048249135246 - 20/26066245633. Let s = 5/4559 - r. Calculate the common denominator of s and -22/15.
90
What is the smallest common multiple of 2 and 7249/88 - (-9)/(-24)?
82
Let l = -886/7 + 9459/77. Calculate the common denominator of l and (4/24)/(-1)*43.
66
Let w = 544/45 - 2869/180. Find the common denominator of 71/208 and w.
1040
Calculate the common denominator of 14/(-1)*195/11520 and -11/6.
384
Let q be 3 + 5/(120/3692). Let b = q + -1430/9. Calculate the common denominator of b and (-8)/4*154/8.
18
Let o be ((-6)/(-4))/(12/(-128)). Calculate the common denominator of -24/13 and (-4)/o - 2/(80/(-242)).
130
Calculate the least common multiple of 18 and ((-287)/(-2) - (-12)/8) + 3.
1332
Suppose 2*c = 5*f - 380, 0 = 5*c - 3*f + 2*f + 996. What is the lowest common multiple of 14/(-63) - c/9 and 40?
440
Suppose 0 = 5*p - 5*t - 20, -3*t + 1 - 11 = -2*p. What is the lowest common multiple of 11 and p/(((-14)/(-6))/7)?
66
Let w = -10 + 13. Suppose -d = -w*d + 3*t - 10, -5*t - 10 = 0. Calculate the common denominator of (-2)/32*(69 - d) and -107/6.
48
Let k(f) = -15*f + 59*f - 27*f + 14. What is the lowest common multiple of k(10) and 8?
184
Let l(h) = h**2 - 7*h - 5. Let j be l(8). Suppose j*f + 17 + 1 = -5*s, 5*f = -5. Calculate the least common multiple of 9 and (-195)/(-26)*(-2)/s.
45
Suppose -6*a + 34 = -98. Let f be (-4)/5*10/(-4). Suppose -f*u = -2*b - 0*u, 0 = -b + 5*u - 16. Calculate the smallest common multiple of a and b.
44
Suppose -7*r = -8*r + 12. Suppose 40 = 3*s - 8*s. Let z(l) = -l**3 - 8*l**2 - 3*l - 12. Calculate the lowest common multiple of r and z(s).
12
Let h(p) = 4*p - 16. Let z(g) = -g**3 - 8*g**2 - 10*g - 6. Let a be z(-7). Let q be (-35)/a*(-3 - 0). What is the least common multiple of h(q) and 20?
60
Suppose 73 - 25 = 3*p. Let k = 20 - p. What is the lowest common multiple of 7 and k?
28
Suppose 8*s - m - 7 = 3*s, 0 = 3*m - 9. What is the least common multiple of 2 and s?
2
Let w(a) = -a**2 + 2*a + 6. Let v be w(4). Calculate the common denominator of -23/9 and (171/532)/(v/40).
63
Suppose 3*f - 75 = 4*m, 6*f + 3*m = 3*f + 54. Suppose -x - 2*x + 9 = 0. Suppose p - f = -x. Calculate the lowest common multiple of 4 and p.
36
Suppose -44*u - 6930 = -55*u. Calculate the least common multiple of u and 168.
2520
Suppose 59 + 101 = 5*d. Suppose 2*v - 4*v + 14 = 2*a, 5*a + 2*v - d = 0. Calculate the least common multiple of 7/(-6)*-2*3 and a.
42
Suppose -4*p - 4 = -24. Suppose 3 = n + 2*c - p, n = c + 8. Calculate the least common multiple of 12 and n.
24
What is the lowest common multiple of (1/2)/((-9)/(-270)) and 21?
105
Suppose -2*y + 6*y = 56. Suppose 4*r = 5*j - 8, y - 2 = 4*r. What is the lowest common multiple of j and 4?
4
Let j = -850 + 6791/8. Calculate the common denominator of j and 19/61.
488
Let w = 250/33 + -38/3. What is the common denominator of 1 + -1 + 2 + 330/(-95) and w?
209
Let m = -32745/4 + 49