y(-14). Suppose -c + 15 - 4 = 0. Let l = w - c. Calculate the least common multiple of 16 and l.
16
What is the common denominator of 5/35*(-490)/(-132) and 20/33?
66
Let k(i) = -i**3 - 7*i**2 - 2*i - 10. Let y be k(-7). Suppose -8 = -g - 3*l, -5*g + l + 64 = y*l. Let f = g - 8. What is the lowest common multiple of f and 18?
18
Let f(x) = 5*x + 11. Let t be f(-3). Find the common denominator of -15/11 and (214/t + 1)/(-3).
22
Let d(l) = -2*l**2 - l - 177. Let r be d(0). Let j = r - -2831/16. Find the common denominator of j and 13/36.
144
Let g(x) = x**2 + 4*x + 2. Let l be g(-4). Let k be 910/21 + l/(-6). Let a = -29 + k. What is the least common multiple of 20 and a?
140
Let x be (1 + (-3)/9)*-15. Let q be 30/x + (6 - 0). Suppose -q*t = -2*f - 60, -t = 3*t - 2*f - 80. What is the lowest common multiple of 18 and t?
180
Calculate the common denominator of 13/80 and (-86)/60 + (16 - 18).
240
Calculate the common denominator of (-24)/126*(9100/(-24))/(-13) and (125/18)/((-1)/(-3)).
18
Suppose 4*r + 3*l + 23 = 104, 2*l + 66 = 4*r. Suppose 5*w + 455 = -8*o + 13*o, 3*o - 294 = -4*w. Calculate the smallest common multiple of o and r.
846
Let w be (-6)/(-14) + (-22)/(-14). Let j(a) = a**w + 204*a**3 - 3 - 12*a**2 - 205*a**3 - a. Calculate the lowest common multiple of 9 and j(-11).
72
Find the common denominator of (5 - 905/120) + 1/2 and (-6)/(-2) - (-1452)/(-378).
504
Let d = -174151/29502 + 790/149. Find the common denominator of d and 41/30.
990
Let f = 1 - -3. Suppose f*d - 32 = 8*d. Let b = d + 34. Calculate the least common multiple of 20 and b.
260
Calculate the common denominator of 10/(-55) - 2226/(-385) and -3/7.
35
Let k(l) = l**3 - 5*l**2 - 5*l - 4. Let r be k(6). Suppose r*b + t - 22 = -2*b, -4*t = 8. Calculate the lowest common multiple of (-9)/2*(-2 - 2) and b.
18
Let q(p) = -p**3 - 5*p**2 + 8*p + 15. Let n be q(-6). Suppose -n*w = -5*z - 8, 4*w - 3*w + 4*z - 31 = 0. Calculate the lowest common multiple of w and 4.
44
Let d = -90/509 + 49435/6108. Let n = -316/11 + 1621/66. Calculate the common denominator of n and d.
12
Let o = -8553 - -136771/16. What is the common denominator of o and 4/(-10) + (-23)/(-120)?
48
Let d be 2/(-6) + (-1)/(-3). Let p be 3/6*0*(-2)/(-4). Calculate the least common multiple of 20 and (p - (-2 - d))*1.
20
What is the common denominator of 3/(-7) - 4*159/(-63) and 2*4*(-50)/(-120)?
3
What is the common denominator of 398/48 + (-9)/(0 - 27) and 77/178?
712
Let g be (-2)/(-6) + 28792/60. Let w = g - 492. Calculate the common denominator of w and 4/11.
55
Let u = -6457/6 - -4339/4. Let y = -4579/5616 + 1/351. Find the common denominator of u and y.
48
Let i = 354 + -330. What is the lowest common multiple of 165 and i?
1320
Let t = 1923 + -13504/7. Find the common denominator of -91/166 and t.
1162
Find the common denominator of 1/(-156)*(7 + -58 + -10) and -47/234.
468
Let h(w) = -w**3 + 10*w**2 - 15*w + 6. Let p be h(10). Let c = -11/6 - -37/12. Find the common denominator of c and 3/(-9) + 4/(p/771).
4
Let j(g) = -g**2 - 2*g + 6. Suppose -5*a = -y - 25, 3*a - 45 = 5*y - 2*a. Let k be j(y). Let v = 15 + k. What is the lowest common multiple of v and 7?
42
Let i(m) be the second derivative of m**4/12 + m**3/6 - 11*m**2/2 - 14*m. Let a be i(-6). Let w = a - 8. What is the smallest common multiple of 26 and w?
286
Let i = 1465/66 - 26/11. Calculate the common denominator of i and (((-627)/(-44))/(-19))/1.
12
Let q = 34 + -29. Suppose -5*y + 4*k - 158 = 0, -y + q*k - 19 = -0. What is the common denominator of y and 2/33?
33
Let q(t) = 7*t**3 - 2*t - 13. Let u be q(9). Let l = u + -2932. Find the common denominator of 2/9 - l/72 and -97/4.
4
Suppose -3*u = 5*y - 745, -3*u + 629 = 3*y + 188. Calculate the smallest common multiple of 10 and y.
760
Let h = 8776 + -263239/30. What is the common denominator of h and 65/42?
210
Let g(j) = j**2 - 10*j - 86. What is the lowest common multiple of g(-6) and 4?
20
Let d(w) = 3*w**2 + 3*w. Let c(q) = -q**3 - 7*q**2 + 8*q - 2. Let x be c(-8). Calculate the lowest common multiple of d(x) and 14.
42
What is the common denominator of 43/8 and (-12)/15 + 151/(-105)?
168
Calculate the common denominator of 69/92*(-2 + (-21)/36) and 67/48.
48
Let t(l) = -l**3 + 5*l**2 + 8*l + 2. Let z be 9 + (1 + -1 - 2). Let j be t(z). What is the least common multiple of (9/15)/((-4)/j) and 1?
6
Suppose 16 = 6*g + 76. Calculate the common denominator of (23/(-10))/(34/g - -3) and 43/9.
36
Suppose -3*c + 70 = n, 4*c + 2*n - 84 = 3*n. Let z(d) = d + 39. Let u be z(-29). Suppose -u*v + 194 = -246. What is the least common multiple of c and v?
44
Find the common denominator of ((-138)/(-180))/((-12)/(-150)) and -64/75.
300
Suppose d + 2*j - 14 = 0, 4*d - 8 = j + 30. Find the common denominator of -49/30 and 4/d - (-3731)/260.
60
Let y = -15 + 14. What is the common denominator of 97/16 and 6925/(-450) - y/(18/4)?
48
Let q = 78 - 282. Calculate the common denominator of 83/22 and q/54*1/4.
198
Let n = -110303/42 - -2626. Find the common denominator of 25/21 and n.
42
Let m(p) = -7*p + 20. Calculate the lowest common multiple of 7 and m(0).
140
Suppose -11 = -4*u + 1. Let n be 0*u/9 - 202. What is the common denominator of -21/20 and n/44 - (6 + -10)?
220
Let a = 3596 + -57517/16. Let k = -2732 - -38217/14. What is the common denominator of k and a?
112
Suppose 44*j = 47*j - 303. Let x = j - 99. Calculate the least common multiple of x and 26.
26
What is the common denominator of 15/16 and (1 - 20/12)/(24/(-9))?
16
Suppose 4*l + 8 = 24. Suppose -2*y + l = 28. Find the common denominator of 3/14 and (-2)/6 + (-89)/y.
84
Calculate the common denominator of 27/206 and ((-192)/56 + 0)*(-3)/2.
1442
Suppose -13 - 5 = -9*s. Suppose -8*q = s*q - 360. Calculate the lowest common multiple of q and 12.
36
Let s = 5116/3 - 1695. Let c = -519 - -1468. Let f = 8567/9 - c. What is the common denominator of f and s?
9
Suppose -i - 140 = -4*d, 0 = 3*d + 3*i - 7*i - 118. Let a be (1 - 0/(-2)) + -2. What is the common denominator of -18/11 and a + ((-234)/d)/(-3)?
187
Let z = -58 + -122. Calculate the common denominator of -13/6 and (-573)/z - 2/8.
30
Let s(d) = d**3 + d**2 + 2*d + 1. Let w be s(-2). Let r(k) = k + 9. Calculate the least common multiple of ((-4)/5)/(4/(-10)) and r(w).
2
Let h(c) = -3 + 0*c**3 - 5*c + 5 + c**3 + 18*c - 12*c**2. Calculate the lowest common multiple of h(11) and 21.
168
Let f(i) be the first derivative of -i**2 - i - 7. Let c be f(-1). What is the common denominator of ((-4)/(-24))/(c/91) and 73/8?
24
Let k = 650/17 + -6577/136. Find the common denominator of k and (91/30)/(1/(-3)).
40
Suppose -10*i = -4*i - 108. Let n be (1/(-27))/(150/i). Let w = n - -13279/900. What is the common denominator of w and -39/20?
20
Suppose 3*t + u + 7 = 0, -5*u + 3*u = -2*t - 2. Calculate the common denominator of (-232)/96 + (t/(-4))/1 and 37/14.
84
Let y = 5264365/16001601 - -1/69271. Calculate the common denominator of -67/420 and y.
4620
Suppose -38 = -2*i - 10. Find the common denominator of i and (-1 + -14 - 8)/(34/(-4)).
17
Let w = 444 - 321. Calculate the least common multiple of w and 78.
3198
What is the common denominator of -4 + (9581/(-198))/(-13) and -41/339?
2034
Let h = 5233 - 88919/17. What is the common denominator of 75/4 and h?
68
Let x be (-13 - -14)/(2/(-2)) - -40. Let y = x - 17. What is the smallest common multiple of y and 42?
462
Let i = 13 - 5. Let u(z) = 2*z**3 - 13*z**2 - 48*z + 7. Let s be u(9). What is the lowest common multiple of ((-14)/5)/(i/s) and 2?
14
Suppose 0 = -2*f - 2*f - 4. Calculate the common denominator of (-153)/20 + (-1)/4 and ((-2)/f)/((-4)/(-65)).
10
Let f(l) = 5*l - 2. Let p = -111 + 138. Let k = p - 20. Calculate the least common multiple of f(2) and k.
56
Let w be -5 + 2 - (-7101)/9. Let p = 6231/8 - w. What is the common denominator of 79/86 and p?
344
Calculate the least common multiple of 86/10 + (-10)/25*-1 and 93.
279
Let p be ((-6)/(-10))/(1/365). Calculate the common denominator of 51/2 and -4 + p*(-3)/(-162).
18
Let p = 65727 - 77820703/1184. Find the common denominator of 115/6 and p.
3552
What is the common denominator of -97/668 and (-37016)/22176 + 8/22?
6012
Let j(u) = u**3 - 5*u**2 - 2*u + 12. Let r be j(6). Find the common denominator 