- 1. Let n = 39 + v. What is the smallest common multiple of n and 8?
88
Let h be 147*(1 + (-2)/(-6)). Suppose 0*u - 2*t = -4*u - 168, 5*t + h = -4*u. What is the smallest common multiple of 1/4 + (-209)/u and 9?
45
Let p = 28 + -9. Let n = p + -13. Let b(m) = m**2 - 4*m + 2. What is the smallest common multiple of b(n) and 22?
154
Suppose 18 = 11*f - 15. Let i(l) be the first derivative of l**3 - l**2 - l + 1. Calculate the lowest common multiple of 4 and i(f).
20
Let k = 19 - 15. Suppose 8*u - k = 4*u. Calculate the lowest common multiple of 10 and u.
10
Let q = -54 - -54. Suppose 5*t = -q*t - 20, 2*t - 122 = -5*m. What is the least common multiple of m and 12?
156
Let u = 19718 + -552045/28. Calculate the common denominator of u and -109/224.
224
Let q be (48/4)/3 + 11. Suppose -f + q = -4. Let b = -15 + f. Calculate the smallest common multiple of b and 16.
16
Let v(t) = -4*t + 8. Let w be v(8). Let p = 12718/2043 + -2/681. Find the common denominator of 8/w + (-20)/9 and p.
9
Let r = -158927/23030 - -2/2303. What is the common denominator of r and 77/8?
40
Let v(u) = 19*u + 2. Calculate the common denominator of (27/(-30))/(6/(-105)) and v(2).
4
Let r = -2/1935 + -3782/1935. What is the common denominator of 167/330 and r?
990
Let n = -11163294307 - -124872610208249/11186. Let f = -10/799 - n. What is the common denominator of -93/16 and f?
112
What is the lowest common multiple of 10 and (-151)/(-7)*1 - 15/(-35)?
110
Let h(x) = x**3 + 6*x**2 - 10*x - 9. Let t be h(-7). Suppose 0 = -t*i + 13*i - 11. Calculate the least common multiple of 4 and i.
44
Suppose 0 = 5*c + 2*d - 3*d - 78, 0 = -3*c - 3*d + 36. Suppose 0 = -6*t + 21 - c. What is the smallest common multiple of 10 and t?
10
Calculate the least common multiple of (-4)/2*(-5 - 5) and 89.
1780
Suppose -2 = -2*t + 2. Suppose -u = a - 7, 3*a - t*a = 2. Let f(r) = -r**3 + 5*r**2 + 2*r. What is the smallest common multiple of f(u) and 12?
60
Find the common denominator of 99/2626 and ((-3)/4)/((-348)/(-3335)) + 4.
21008
Suppose 4*t - 448 = -0*t. Calculate the common denominator of 73/18 and 273/t + (-1 - -2).
144
Let t = -24501843/967 + 25338. Let a = -22223/5802 - t. Calculate the common denominator of 89/44 and a.
132
Suppose -4*z + 2 = 14. Let f be z/(-30)*1546*1. Let q = 161 - f. What is the common denominator of 73/8 and q?
40
Let t(u) be the first derivative of -u**4/4 - 4*u**3 - 7*u**2 - 26*u + 11. What is the least common multiple of t(-11) and 11?
77
Let l(u) = -3*u - 21. Let a = 228 - 207. What is the smallest common multiple of l(-10) and a?
63
Let r = -1749/50 - -43499/1300. Find the common denominator of r and -83/8.
104
Let q be (-150)/4*(-12)/14. Let s = -1/20820279 + -150051750529/4663742496. Let r = s + q. What is the common denominator of r and -65/18?
288
Let l = -40 - -37. Find the common denominator of -53/52 and 951/(-180) - (-2)/l.
260
Let c = 1218 - 1044. Calculate the lowest common multiple of 11 and c.
1914
Suppose -761*i + 1056 = -755*i. Calculate the smallest common multiple of 110 and i.
880
What is the common denominator of (-7 + (9520/287)/5)/1 and -15/8?
328
Let k = 295/4 - 2287/30. Calculate the common denominator of 77/30 and k.
60
Let h = -184/5 - -2649/80. What is the common denominator of h and (-243)/(-30)*3/(-15)?
400
Suppose 8*y - 10*y = 18. Calculate the least common multiple of 12 and y/6 - (-59)/2.
84
Let w(l) = -5*l**3 + 4*l**2 + 13*l. What is the lowest common multiple of w(-2) and 30?
30
Suppose -67 - 45 = -4*s. Let n(x) = x**3 + x**2 + x + 5. What is the lowest common multiple of n(3) and s?
308
Let b = -2/1331 - 43915/5324. Let w = 692586 + -5531977/8. Let q = w - 1087. Calculate the common denominator of q and b.
8
Suppose h + 16 = 17. Calculate the common denominator of 103/14 and h*-4 - 1107/(-306).
238
Let g be 2/4*-4 - 14. Let m(v) = -v**3 - 17*v**2 - 13*v + 6. Let i be m(g). Calculate the common denominator of i/(-72) + 1/2 and 97/10.
60
Let v(s) = 158*s**2 + 10*s - 8. What is the smallest common multiple of 4 and v(2)?
644
Let s(y) = -y**3 - 3*y**2 - 8*y - 4. Calculate the least common multiple of 16 and s(-6).
304
Let m(d) = -d**3 - d**2 - d + 155. Let t be m(0). Let g = -65 + t. Suppose 0 = 4*x + x - g. Calculate the lowest common multiple of x and 34.
306
Let n(o) = 3*o - 4. Calculate the least common multiple of n(2) and (19 - 17)/((-2)/(-108)).
108
Let j = -201949/18 + 11216. Find the common denominator of j and -3 + 334/(-96)*-2.
72
Let w = 105/11 + -12327/1243. Let m = -8953/678 - w. What is the common denominator of 2/5 - (-101)/60 and m?
12
Calculate the common denominator of (65/40)/((-2)/(-7)) and 765/36*4/(-2 - -6).
16
Suppose 15*f = 137 + 88. Calculate the smallest common multiple of 115 and f.
345
Let h(u) = u**3 + 3*u**2 + 20. What is the lowest common multiple of h(-4) and 126?
252
Let d = -23 + 50. What is the common denominator of ((-38)/(-20) + -2)*-29 and (-136)/(-18) - (-9)/(d/(-6))?
90
Let z be 286141572/59037 + 6/33. Let d = -4847 + z. Let m = d + -23243/25046. Find the common denominator of -1/2 and m.
14
Let z(v) = -3*v + 72. Let f be 1 - -2*(-2)/4. Suppose -x - x - 2*l = -16, f = 3*x - 2*l - 34. Calculate the smallest common multiple of z(23) and x.
30
Let b = -27124 + 2793723/103. Let d = b + -6921/824. Let g = -17035 + 306541/18. Calculate the common denominator of g and d.
72
Let p be (-7819)/(-22) - (0 + -3)*-1. Let c = -703/2 + p. Calculate the common denominator of 125/6 and c.
66
Let z(g) = 19*g - 148. Calculate the least common multiple of z(8) and 90.
180
Suppose 5*g = -z + 208, 0 = 4*g + g - 4*z - 218. Suppose 3*s - 93 = -3*d, 3*s = 2*d + s - g. Let w = -16 + d. What is the least common multiple of w and 15?
30
Calculate the smallest common multiple of 28 and 21 - 12/2*(-3)/6.
168
Suppose 2*h - 125 = -3*h. Let m = 35 - h. Calculate the least common multiple of (-200)/(-15) - (-20)/(-15) and m.
60
Suppose 0 = 3*p - c - 328, -p + 43 = c - 61. Calculate the smallest common multiple of 10 and p.
540
Suppose 0 = -12*t + 13*t - 34. Calculate the smallest common multiple of 4 and t.
68
Find the common denominator of -23*(0 - (-2)/(-29)) and 39/19.
551
Let r = -476 - -851/2. Let o = 4125/8 - 521. Find the common denominator of o and r.
8
Let r = -4908 + 284605/58. Find the common denominator of r and 67/2.
58
Let i be 4469/(-17844) - (-26)/104. Let u = 66869/102603 - i. Suppose z + 196 = 5*z. What is the common denominator of u and z?
23
Let o be 7*-1 - (4 + -7 - -4). Find the common denominator of 8*(-20)/o*-2 and ((-11)/27)/(1/(-6)).
9
Suppose -4*o + 13 = 3*m - 41, -3*m + 66 = 5*o. What is the smallest common multiple of o/2*((-1)/3)/(-1) and 7?
14
Calculate the least common multiple of (2 - -1 - 18/9) + 41 and 63.
126
Let i be (0 + -176)*5/(-5). Suppose 4*w = 8*w - i. Calculate the common denominator of w and 1 + 146/16 + 1.
8
Let v = -241/5 - -49. Suppose -4*j = -4*n + j - 22685, -4*j = 4*n + 22712. Let u = n + 62384/11. What is the common denominator of u and v?
55
Let m = 1676860 + -85536994/51. Let l = m - 7861/34. Let t = l - -580. Find the common denominator of -85/6 and t.
6
Suppose 3*v + 3*z + 1 = 25, -4*v = -z - 52. Suppose -11 = 3*f - 14. Suppose f = l, -4*j + 54 = 3*l - 21. Calculate the smallest common multiple of j and v.
36
Calculate the least common multiple of ((-3)/(-6))/(3/360*3) and 188.
940
Let k be (4 + (-3)/2)*517*-2. Let d = -46673/18 - k. Find the common denominator of -28/5 and d.
90
Suppose 47 = 5*f - 0*f + 4*a, -24 = -3*f - a. What is the smallest common multiple of f/(21/(-12)) + 14 + -1 and 23?
207
Let m(i) = 4*i - 75. What is the least common multiple of 489 and m(21)?
1467
Let c(j) = -2*j**2 + 66*j + 682. Suppose 0 = b - 2*b + 8. Calculate the smallest common multiple of c(-8) and b.
104
Calculate the common denominator of -76/9 and (44/(-16)*6)/(531/15).
1062
Calculate the common denominator of 0/2 + 5/(-2) and (5/8)/(-2*(-5)/220).
4
Suppose 4*t + 0*t + 5*v = 23, 26 = 4*t + 2*v. Suppose 4*i = -0*g + g + 37, 4*i = -g + 43. Let h = -6 + i. What is the lowest common multiple of h and t?
28
Calculate the lowest common multiple of 49 and 19/(-38) - ((-590)/4 - 0).
147
Let v be ((-10)/(-15))/((-4)/42258). Let g = -63452/9 - v. What is the common denominator of g and 23/37?