2
Suppose a - 3*r + 4 = 0, 5*r - 4 = a + 2*a. Let u(p) = p**2 + 6*p + 4. What is the lowest common multiple of u(0) and a?
4
Let s = -1729 - -3775. Calculate the smallest common multiple of s and 1488.
16368
Let p be -36*(5 - (-128)/(-24)). Suppose -5*b - 14*h + p = -12*h, -b = -3*h + 1. Let m = 29 + -17. What is the lowest common multiple of m and b?
12
Calculate the common denominator of 6/(-8) - ((-11 - (-12857)/1092) + 0) and ((-1)/(-9))/((-13)/(-51)).
273
Suppose b = 2*y + 544, 4*b - 1293 = -y + 856. What is the lowest common multiple of b and 20?
5380
Suppose -4*b + 84 = -3461*d + 3463*d, -4*b = -2*d + 44. Let k(y) = -y + 64. Calculate the lowest common multiple of k(0) and d.
64
What is the common denominator of -65/18 and 360/(-144) - 822/(-351)?
234
Let l be (-82)/(-9) - ((-497)/63 - -8). Suppose l*j - 79 - 11 = 0. Let a = 6 + -4. What is the smallest common multiple of a and j?
10
Suppose 76*c = 72*c - 120. Find the common denominator of ((-14)/(-24))/7*2028/c and -173/30.
30
Let q(p) = -p**3 - 27*p**2 + 106*p + 135. What is the smallest common multiple of q(-31) and 162?
12474
Calculate the least common multiple of 3570 and (1/(-1))/(-2*(-32)/(-184960)).
60690
Let n be 6/(16/(-24) + (-1)/(-6)). Let w be -1 - 1/(-2)*-88. Let h = n - w. What is the least common multiple of 12 and h?
132
Let v(z) = 5*z - 7. Let l be v(-5). Let u = l + 67/2. Let n = -1/3101053 + 269791625/43414742. Find the common denominator of n and u.
14
Calculate the common denominator of -57/64 and (-5694)/936*(-5)/(-160).
384
Suppose 7 = g + 2*w + w, 3*g - 3*w - 45 = 0. Suppose g*o + 37 = 12*o. What is the common denominator of -43/4 and o/4 - (10 + -11)?
4
Suppose 2*u + 2*t - 7*t = -1697, 0 = -5*u + 3*t - 4233. What is the common denominator of 1*3/u*(-42 - 1) and -45/8?
1128
Suppose 13 = -2*u - w, 4*u - 18*w + 20 = -22*w. What is the common denominator of (-83)/(-108)*(-5 - -29)/u and -47/120?
360
Let j be 16/72 + (-9292)/18. Let u = -439 - j. What is the smallest common multiple of 70 and u?
770
Suppose 4*m = -2*g - 879 - 1849, 0 = -2*g + 4*m - 2744. Let x = -4046/3 - g. Calculate the common denominator of x and 7/45.
45
Let z be ((-1625)/26)/25*(-81 - 1). Suppose -3*b + z = 4*g - 292, 3*g = -4*b + 371. What is the least common multiple of g and 9?
1125
Let j be 1 + 1*(-6)/(-2). Let o be 1*(j - -2) + 2. Find the common denominator of -34/5 and (-6)/(-12)*70/o.
40
Suppose -1703*i + 1697*i = -36. What is the lowest common multiple of 54 and i?
54
Let z = 1560881568259/5344300389483 - -17344/18698591. Let j = 2/31757 - z. What is the common denominator of j and 55/18?
198
Let f(m) = -2*m**2 - 12*m - 10. Let g be f(-8). Let l be 9002/(-120)*3*26/g. Let s = 712/5 - l. What is the common denominator of s and -73/6?
12
Let p(d) = -d**3 + 122*d**2 - 129*d + 970. Suppose -5*i + 10*i + 2*a = 679, -5*a = -2*i + 289. What is the smallest common multiple of p(121) and i?
274
Let j = -83/1288893549 - 98278556929528/90267659704215. Let k = 2/14007 - j. What is the common denominator of 11/45 and k?
45
Let m be 10/45 - 2/9 - -11. Suppose -1580 = -m*o + 6*o. Calculate the least common multiple of o and ((-16)/(-6))/1 - 20/30.
316
Let i = 105/212 - 19363/7420. Find the common denominator of (3*1/189)/(16/312) and i.
210
Let c = -3406 + 3652. Calculate the lowest common multiple of c and 7.
1722
Suppose -3*n - 4*l + 1762 = 0, 570 = n - l - 2*l. Suppose -107*d + 2160 = -194. What is the least common multiple of d and n?
6402
Let k(b) = 1867*b**2 + 10*b + 24. Let y be k(-4). Let n = y - 3702179/124. Find the common denominator of 85/2 and n.
124
Let u = -23269685/149 + 156173. Let w = u - 9483/2086. What is the common denominator of w and 29/18 + (-3)/9 + (-198)/54?
126
Calculate the smallest common multiple of -4 - -11 - ((-260)/104)/((-1)/(-1294)) and 18.
29178
Calculate the common denominator of 87/28 and (38/(-42))/(4/(-24)).
28
Let y = 13435 + -13395. Calculate the least common multiple of y and 2450.
9800
Suppose -32*g + 4743 = -35*g. Let r = g + 34759/22. Let c = 2/959 + -39323/1918. Find the common denominator of r and c.
22
Suppose 3*w - 584 = -w. What is the common denominator of -2 - 0 - w/24 and (0 + (-2)/(-4))*11312/(-448)?
24
Let r = 12 - -70. Suppose -98 = -20*i + r. Calculate the smallest common multiple of 24 and i.
72
Calculate the common denominator of (-14625)/2500*(-2)/12 and -76/3825.
30600
Let u = -3596406130744811/24679 + 145727384893. Let z = u + -1210/29. Let n = z + 77453/1702. Find the common denominator of n and -91/16.
16
Let n = -17337 + 17418. Calculate the least common multiple of 321 and n.
8667
Suppose 4*g = -4*v - 513 + 1613, 2*v - g - 541 = 0. Suppose 3*y - v = 187. Calculate the least common multiple of y and 6.
306
Let g = 132262 - 2645153/20. Let m be (4/(-2))/((-12)/21929). Let u = 3647 - m. Find the common denominator of g and u.
60
Suppose 0 = 37*w - 34*w + 6. Calculate the lowest common multiple of w/(-5)*(33 + -18) and 86.
258
Let a = 60 + -48. Let t be 0*(-3)/a + 1 + -6. What is the least common multiple of -40*-3*t/(-12) and 20?
100
Suppose -13*m - 20 = -17*m. Suppose -2*n + 15 = -m*g, n - 6*n = -3*g - 28. What is the common denominator of g/(-3) + 32/(-14) and 47/33?
231
Suppose 64 = 3*p - 8. What is the smallest common multiple of (2 - (-11 - (-1 - 10))) + 16 and p?
72
Let m(g) = -4*g + 8. What is the smallest common multiple of m(-7) and (135/5)/(1 - (9 + -9))?
108
Let n = -39322/15 - -2622. Let l = -28564637/186 - -153574. Find the common denominator of n and l.
930
Let n be 0 + -1 + (4 - 0). Suppose 0 = 2*a - n*a + 15. Let k = -43268 - -43279. Calculate the least common multiple of a and k.
165
Let f = 213 + -346. Let j = f - -131. Calculate the common denominator of 59/8 and (14/(-8) - j) + (-141)/28.
56
Let h = -2065119/304 + 6793. Calculate the common denominator of h and 9/152.
304
Let t = -337378 + 105262025/312. Find the common denominator of t and 25/312.
312
Suppose 2*f = 8 + 8. Suppose 0 = -c - 4*w + 16, 5*c + 0*w - f = -2*w. Calculate the common denominator of -35/9 and -3 + (-32)/(-36) + c.
9
Let v = 1 + 2. Suppose 36 = v*k + b + 2*b, 2*k + 4*b = 24. Suppose 21*l - 3635 = -3404. What is the lowest common multiple of l and k?
132
Calculate the lowest common multiple of 55 and (-6)/4 - (12/(-21) - 628463/154).
44880
Calculate the common denominator of 6/(-57) - 23/(471960/15966) and (-31)/12 + 2/3.
60
Let z be (5/(-10)*3)/(42/(-31469)). Let i = 1123 - z. Find the common denominator of (-2)/6*21/28 and i.
28
Let a = -35 - -41. Suppose -4*t - 46 = -3*i - 7, -3*i - a = t. What is the lowest common multiple of 6 and ((-2)/(-4))/(t/(-108))?
6
Let i = 2553/964 + 2/1205. What is the common denominator of i and ((-74)/(-300))/((-4)/(-12))?
100
Find the common denominator of 163/570 and 3/8*(1 - (-2 - (-550)/54)).
3420
Let j = 2/5661 - -69815/11322. What is the common denominator of j and 26/95?
570
Let g = -10916 - -163816/15. Let o be -158 + (-70)/(-15) + 6/(-9). What is the common denominator of g and (1 - -1) + o/20?
30
What is the common denominator of ((-2)/6)/((-1)/74) and 522/(-36) - -14 - (-41)/24?
24
Let l = 720379/180 + -20011/5. Let k = -48720 - -3507943/72. Calculate the common denominator of l and k.
360
Suppose -4*d + 12 = 0, 110*d + 1362 = 2*x + 112*d. What is the least common multiple of x and 42?
4746
Find the common denominator of -107/36 and (-2)/15*(76109/2904 - 22/(-8)).
36
Calculate the common denominator of 113/130 and 1034/104 + 24/(-6) - (-44 - -51).
260
Suppose -2*n = -v - 3113, -3545 + 457 = -2*n - 4*v. What is the common denominator of -71/90 and (n/148)/(2/(-2))?
90
Let b(x) = -2*x**2 + 348. Calculate the smallest common multiple of 30 and b(-12).
60
What is the smallest common multiple of 75 and (-1804)/(-3) + (-240)/180?
600
Let l be ((-12)/15)/((-2)/(-55)). Suppose 0 = -2*z + 27 + 37. Let p = l + z. Calculate the lowest common multiple of p and 28.
140
Let i be (2 + -3)*-35 - -4. Suppose i = -20*s + 33*s. What is the smallest common multiple of 21 and s?
21
Suppose -11*k = -17*k + 108. Let u be 1*(-2 + -2)*-1. Suppose 37 = 4*x - 3*l, -3*x + u = -4*l - 22. What is the least common multiple of x and k?
90
Let s be ((-518)/35)/((-4)/(120/19)). Let i = s + -10295/456. What is the common denominato