t y = -1 + 26. Calculate the smallest common multiple of y and z.
100
Suppose -5*w = -2*g - 360, 195 = 3*w - 0*g + 3*g. Let x = -63 + w. Suppose 4*i - x*i + 3 = 0. What is the lowest common multiple of 11 and i?
11
Suppose 3*i + 2*i - 660 = 0. Let r = -3/9785 - -127271/215270. Calculate the common denominator of r and 70/i + 4/12.
22
Let v = 17570 - 12222. Let m = 96229/18 - v. Calculate the common denominator of 7/74 and m.
666
Let p = -8165 + 3159851/387. Find the common denominator of p and -67/18.
774
Let h = 715 + -1038. Let w = -314 - h. What is the smallest common multiple of w and 38?
342
Let g = -740766587/750 - -987689. Find the common denominator of -143/600 and g.
3000
Let z = 207194 - 203050219/980. What is the common denominator of z and 29/70?
980
Let i(g) = -4*g - 156. Let f be i(-39). Suppose -o = -5*o + 8, 2*t - 2*o - 152 = f. Calculate the least common multiple of t and 4.
156
Suppose -3*b - 2*k + 1518 = 0, -5*b - 24*k + 2532 = -20*k. What is the smallest common multiple of b and 21?
504
Suppose 0 = -22*j + 25*j - 600. What is the common denominator of 3 - (3 - 1) - 60/j and -55/7?
70
Let n be (5 - 5) + 2/5*5. Let h be -6 + n - (-20053)/(-99). Let z = -206 - h. Find the common denominator of 119/6 and z.
18
Find the common denominator of ((-1467)/2052 - 1/(-2))/(-1) and 53/209.
2508
Let f = -27673/8 - -3458. What is the common denominator of 31/940 and f?
1880
Let j be -8 - (-3 + (-2)/(-2)). Let o = 11369 + -11367. Calculate the smallest common multiple of o and 8/3 - (-4)/j.
2
Let h = -51 - -45. Let f be 14636/(-21918) + h + (-80)/(-12). Let u = -252001/51142 + f. What is the common denominator of u and 89/4?
28
Suppose 0 = 35*b - 6484 - 744 - 1697. What is the smallest common multiple of b and 51?
255
Suppose 106 + 38 = -9*v. What is the common denominator of -109/52 and (((-2)/180)/(v/24))/(-1)?
780
Let k = 18 + -221/14. Let y be 0 - (-1910)/34 - (3 - 3). Let q = -12027/238 + y. Calculate the common denominator of k and q.
14
Suppose 0 = n - 5*v - 6, -10 - 8 = -3*n + v. Calculate the lowest common multiple of 3 + 84 - ((-1)/3)/(5/60) and n.
546
Let x(r) be the second derivative of r**4/12 - r**3/6 + 3*r**2 - 3*r - 10. Calculate the lowest common multiple of x(0) and 119.
714
Find the common denominator of 318/20 - (-2)/(-5) and ((-170)/(-4) + 5)/(-272).
544
Let r = -663969/6957040 - -1/22885. What is the common denominator of r and 107/570?
4560
Let u(z) = 29*z**2 - 5*z + 10. Let q be u(4). Let w = 5491/1854 - 15/206. What is the common denominator of q/84 - (-15)/(-10) and w?
63
Let d = -8/353 + -4109/21180. Calculate the common denominator of d and 89/12.
60
Suppose -5*j - 2 = -42. Suppose -25 = j*w - 793. What is the least common multiple of w and 48?
96
Let h = 8799 + -8597. Calculate the least common multiple of h and 9.
1818
Let i be (-2 + ((-10)/(-3) - 2))*-348. Let x be 6/(-8) - 1476/i. Let j = 25/29 + x. Calculate the common denominator of j and -59/5.
20
Suppose -3*m = 2*l - 13743, 0 = -5*m + 2*l - 3858 + 26747. Let r = m - 18405/4. Find the common denominator of 59/56 and r.
56
Let m = -370587/44 - -8422. Calculate the common denominator of 109/33 + (-7)/210*-10 and m.
44
Let g be -18470*147/(-829824) - (10 - 8). Let x = -54/2161 - g. What is the common denominator of x and -57/22?
704
Let r = 131 + -120. Calculate the smallest common multiple of r and 9 + -2 - 35/7.
22
Let w be -3*(-2179)/15 + 20/(-25). What is the common denominator of -31/39 and (-8)/60*w/12?
78
Suppose 12*j = -4*j - 144. Find the common denominator of 27/29 and 3 + j - 98/(-10).
145
Let m = -223697 - -900993/4. Let t = m - 1535. Find the common denominator of t and -17/14.
28
Let j be 225678/390 + (-1)/5. Let i = j - 600053/1040. Find the common denominator of i and -109/50.
400
Let i = 10/89 + -863/2136. Let n be (-68200)/102291 + (-4)/(-6). Let o = 1466207/613746 + n. Find the common denominator of o and i.
72
Calculate the common denominator of 4/7 and (-60)/320*(0 + 1 + (-117)/15).
280
Let f = -2/486025 + 33611058911/8748450. Let b = f + -3834. What is the common denominator of -51/14 and b?
126
Let m(n) = n**3 - 19*n**2 - 45*n + 158. What is the lowest common multiple of m(21) and 171?
855
Let s(g) = -g**3 - 49*g**2 + 71*g + 1083. Suppose 0 = -3*t + 4 + 56. Suppose 0 = 3*u + t - 119. What is the least common multiple of s(-50) and u?
33
Let r = -28 - -40. Suppose -3*w - 2*h + 369 = 51, -5*h + 106 = w. Calculate the least common multiple of r and w.
636
Suppose 45*n - 832 - 968 = 0. Calculate the lowest common multiple of n and 8.
40
Suppose -45 = -5*a, -63*a + 69*a - 1335 = -o. What is the smallest common multiple of o and 4270?
12810
Let s be (-1 + 2)*(12 + -14). Let z be s/(-1)*(-10 + -30). What is the lowest common multiple of 7*(z/28)/(-2) and 9?
90
Suppose -k - 3*u = 9 + 14, 2*u - 36 = 4*k. Let r(x) = -3*x - 11. Let w(b) = -b**3 + 6*b**2 - 3*b - 4. Calculate the smallest common multiple of r(k) and w(5).
66
Suppose -g = -2*g + 17. What is the common denominator of 101*(g/(-16) - -1) and 1339/1001*(-35)/10?
176
Let s = 4813 - 4857. Find the common denominator of 27/1916 and s.
1916
Let l = 443 - 551. Let a = l - -140. What is the lowest common multiple of a and 9?
288
Let h(a) be the first derivative of 1/2*a**2 + 5*a - 7. What is the least common multiple of 21 and h(7)?
84
Let t = 1/2254 + -5641/13524. What is the common denominator of t and 49/4352?
13056
Suppose 7*b + 18 = -3*f + 2*b, -9 = -3*f + 4*b. Find the common denominator of (f - 3) + 4/168*-69 and (6 + 5)/((-16)/(-3)).
112
Suppose 2*s - 950 = -242. What is the least common multiple of s and 20/((-4 - -4) + 1)?
3540
Let o be (33 - 48)/((-6)/(-8)). Let x(b) be the first derivative of -b**3/3 - 21*b**2/2 - 6*b + 2. Calculate the smallest common multiple of x(o) and 14.
14
Suppose 3*z + 2*n - 22 = 0, 4*n - 3 = 4*z + 1. Suppose -5*f - 2*x + 44 = 3, 0 = z*f - 2*x - 40. Calculate the smallest common multiple of f and 192.
576
Let k be ((-18)/4)/(57/76). Let n be -1 + (0 - -3) + -41. What is the lowest common multiple of k/5*715/n and 42?
462
Calculate the lowest common multiple of 3333 and (40/(-25))/(7573/1515 - 5).
13332
Let h = -10020556725/26447 + 378892. Let w = 3358787/476046 + h. What is the common denominator of -37/8 and w?
72
Suppose -2*o + 40 = 42. What is the common denominator of 23358/(-4760) - (o - 4) and -31/6?
420
Let v(s) = 2*s**3 - 92*s - 36. What is the least common multiple of v(7) and (-6)/5*(-15)/6?
6
Suppose 4*b = -88914 + 684082. Let o be 40/(-320)*(0 - b/10). Let y = -1865 + o. Find the common denominator of y and 83/12.
60
Calculate the common denominator of (-635)/(-150)*(150/(-44))/(-15) and -103/240.
2640
What is the smallest common multiple of 1305 and (7 + -8 + 7)*(1 + 14)?
2610
Calculate the common denominator of 17/145 and (3/(-78))/(6612/(-6232)).
5655
Let i(p) = 15*p**2 + 73*p + 4. Let d be i(-16). Suppose -34*v - 840 = -d. What is the smallest common multiple of 48 and v?
432
Suppose -45*v = -24740 - 460. Calculate the lowest common multiple of v and 350.
2800
Let r = -11371/6690 - 1/3345. Let f = -6307 - -2475. Let o = -23081/6 - f. Calculate the common denominator of o and r.
30
Let v = 217 + -228. Let b(w) = -w**3 - 11*w**2 - 5*w - 25. What is the least common multiple of 66 and b(v)?
330
Suppose 0 = 4*u - 17 + 1. Suppose -109*f - 561 = -2495 - 246. What is the smallest common multiple of u and f?
20
Let j = -527/7 + 72234/959. Calculate the common denominator of 37/685 and j.
685
Let g be -1 + (-9)/((-45)/(-218)). Let z = -44 - g. Calculate the common denominator of z and (-416)/56 + (2 - -1)/3.
35
Let v(l) = 0*l + 6*l - 5*l. Suppose 2*y + 12*y - 41*y = -594. Calculate the lowest common multiple of y and v(6).
66
Suppose 2*t = -4*o - 320, -3*o - 229 = -5*t + 37. Let u = 7 - -3. Calculate the smallest common multiple of (o/(-14) + 6 + -11)*35 and u.
30
Let t = -47203781/1212 + 38947. Calculate the common denominator of t and -111/14.
8484
Suppose 0 = -0*f + f - 24. Let b = f - 4. What is the smallest common multiple of 11 and b?
220
Let d = -1138 + 1135. Suppose 3*c = 2*m - 18, -5*c - 33 + 7 = -2*m. Calculate the least common multiple of 20 and d/4*(c - 12).
60
Let m = 86/1797 + 96863/1092576. What is the common denominator of -107/