t common multiple of w and 9627.
38508
Suppose 0 = 4*x + 22714 + 24494. Let i = 472053/40 + x. Let k = i + 7/8. Find the common denominator of 95/8 and k.
40
Let l = 2318 - 1339. What is the common denominator of (1*l/(-1254))/((-2)/(-6)) and 37/4?
76
Let m = -13620/143 + 1120/13. Let p = 9989/1100 + m. What is the common denominator of p and 11/60?
300
Let j(w) = -5*w - 3. Let u be j(-1). Suppose -4*d + 3*d - 69 = u*h, 5*d + 15 = 0. Let y = h + 39. What is the lowest common multiple of y and 27?
54
Let v = -1051960/99 + 10626. Calculate the common denominator of -119/594 and v.
594
Let m(p) = p**2 - 9*p + 14. Let n be m(6). Let t be n - (-2 + (-4 - -2)). Suppose t = 4*g - 49 - 83. What is the lowest common multiple of 33 and g?
33
Let l be (-28)/(-70) + 18456/10. Calculate the common denominator of 99/4 and ((-2)/3)/(l/594 - 3).
16
Let z be 125/40 - (-2)/(-16). Suppose -5*k + 7*k = z*v - 3873, 0 = v - 3. Let w = -5743/3 - k. What is the common denominator of w and 95/4?
12
Suppose -5*n = -t - 2*t - 8, 5*t - 3*n + 8 = 0. Let f be 1/(t/(-6)) - (-4 + 1). Suppose -15 - 12 = -f*a. What is the least common multiple of 3 and a?
3
Let z be 5733/(-315)*294910/(-96). Let s = z + -55907. Calculate the common denominator of -71/144 and s.
144
Let q(g) be the first derivative of -g**2/2 - 4*g + 1. Let t be q(-10). What is the common denominator of t/(-9) + 525/288 and -21/16?
32
Suppose 2*t + 9 - 25 = 0. Let r = -1721 - -1723. Calculate the least common multiple of r and t.
8
Let o be (-2)/9 + 206869816/(-72521280). Let m = 6/25181 - o. Calculate the common denominator of 127/48 and m.
240
Let j(p) = -61*p + 1649. Calculate the lowest common multiple of j(27) and (-334)/((-3 + 4)/(-3)).
1002
Suppose -4*j - 28550 = 60886. Let u = j - -1989928/89. What is the common denominator of u and 28/11?
979
Suppose -3*z = 2*b - 30, -4780*b + 4778*b - 2*z = -28. Calculate the lowest common multiple of 112 and b.
336
Let i(g) = -g**2 - 9*g - 10. Let k be i(-7). Let z(f) = f**3 + 18*f**2 + 67*f + 1. Let r be z(-13). Find the common denominator of 23/8 and 1840/(-96)*k/r.
120
Let c(k) = k**2 - 14*k - 17. Let j be c(16). What is the lowest common multiple of (j/(-4))/(21/(-224)) and 6?
120
Let l(i) = i**3 - 16*i**2 - 2*i. Let p be l(5). Find the common denominator of (-1200)/p - (-1 + -3)/(-1) and 83/8.
152
Find the common denominator of -133/30 and ((-3 - -26)/((-100)/(-8)))/(57/(-10)).
570
Suppose 9*c - 20 = 5*c. Suppose -3*o + 2*k = o - 12020, -c*k = -4*o + 12020. Let i = o + -17983/6. What is the common denominator of i and -41/8?
24
Let j(w) = 173*w**2 + 663*w - 12. Calculate the least common multiple of 704 and j(-4).
9152
Let z = 1267 + -7639/6. Let r = -3787/10 - -108683/290. Let w = r + 2657/580. What is the common denominator of z and w?
60
Let f be (-30)/7 + (-16)/(-56). Calculate the common denominator of -6/59 and ((-1)/f)/((-30)/105)*-36.
118
Let b = 253 - 433. Let t = 198 + b. Calculate the smallest common multiple of t and 9.
18
Let n = -26774/51 - -3167/6. Calculate the common denominator of n and 38/1003.
2006
Suppose 0 = -3*q + 5*m + 1705, -8*q + 3*q + m = -2805. What is the least common multiple of q and 16?
560
Let p = 346891 + -1236666358/3565. Calculate the common denominator of p and -21/2852.
14260
Suppose 104 = 2*w + t, -93*w + 98*w + t - 266 = 0. Calculate the least common multiple of 8 and w.
216
Suppose -216 = -341*m + 335*m. What is the common denominator of -43/14 and (56/(-66) + 1)/((-6)/m)?
154
Let d = 61 + -19. Calculate the smallest common multiple of d and (-819)/(-147) - (0 - (-15)/(-35)).
42
Suppose -2263 = -79*m + 502. What is the lowest common multiple of m and 5?
35
Let g(b) = 142*b - 69. Let o be g(-3). Find the common denominator of -47/12 and -1*(o/(-200) - 1).
120
Let y(t) = t**3 - 4*t**2 + 5*t + 7. Let m(j) = 34*j - 2. Let p be m(1). Let b = 40 - p. What is the least common multiple of y(3) and b?
104
Let m(f) = f**3 + 20*f**2 - 10*f - 1. Let v be m(-11). Let r = v + -10768/9. What is the common denominator of r and -75/32?
288
Let m(r) be the first derivative of -r**4/4 + 4*r**3 + 7*r**2 - 5*r - 8. Let j = -2098 - -2142. What is the smallest common multiple of m(13) and j?
88
Suppose -4*k + 9*k - 120 = 0. Calculate the common denominator of (-31)/(-2)*k/64 and 7/24.
48
Let b(u) = -39*u. Suppose i - 8*v - 1 = 0, -4*v - 1 = -216*i + 215*i. What is the lowest common multiple of b(-6) and i?
234
Suppose 16*q - 36 + 4 = 0. Calculate the common denominator of 434/(-40) + 3 + q and -51/55.
220
Let d(b) = -b**3 - 10*b**2 + 9*b - 24. Let r = -129 + 117. What is the least common multiple of 16 and d(r)?
624
Suppose 4*q - 215 - 73 = 0. Suppose -d = 2*d - q. Let n(f) = 758*f - 740. What is the lowest common multiple of d and n(1)?
72
Suppose -4*j + q = -38, 2*j + 20*q - 18 = 21*q. What is the smallest common multiple of 440 and j?
440
Suppose -8*q - 168 + 950 + 450 = 0. What is the lowest common multiple of q and 756?
8316
Let d = 4694522 - 235172667/50. Let t = 8932 + d. Calculate the common denominator of t and -27/40.
200
Let y be 2 + 2 + (-7)/(-107212)*-86159. Let i = y + 10/547. Calculate the common denominator of i and -99/4.
28
Let b(i) = i**2 + 14*i + 31. Let c be b(-13). Suppose -209 = 7*h - c*h. Calculate the least common multiple of 3 and h.
57
Find the common denominator of 22/(-8)*91/((-18668013)/(-1026)) and -53/12.
43188
Let o = 7241171/758 - 9553. Let z = 610383699/7580 + -1610901/20. Let c = o + z. Calculate the common denominator of c and -54/11.
22
Let j = 3095/16 - 393/2. Let z = 30 - 7. Calculate the common denominator of j and 1/(-56)*z + 58/29.
112
Let w = -34099/6 - -596678/105. What is the common denominator of w and (-50)/(-4)*1/(-36)?
2520
Let k(r) = 314*r**2 - 4*r + 1. Let p be k(5). Let b = p - 125205/16. Calculate the common denominator of b and 747/(-234) + 1/(5/10) + -2.
208
Find the common denominator of 85/638 and -14 + 13/(-9048)*-10244.
1914
Let j be 5/(-20) + 2307722/883836. Let i = -2/24551 - j. What is the common denominator of (-4)/((-80)/127) - (-11 - 570/(-50)) and i?
180
Let y(f) = -1075*f - 15014. Let u = 21 + 3. Calculate the lowest common multiple of y(-14) and u.
72
Suppose 19*q + 807 + 1568 = 0. Let v = q + 179. What is the lowest common multiple of 6 and v?
54
Suppose 7*u = 5*u. Suppose u = -3*p + 2*w - 38 - 10, -4*w = 5*p + 80. What is the common denominator of -101/14 and (p/8)/(12/(-137))?
42
Let q be 76/12 + -7 - (-36563)/(-918). Let t = q + -2/459. What is the common denominator of (-130)/(-6)*(5 - 642/132) and t?
22
Suppose 5*l = -33634 - 25936. Find the common denominator of (-3)/4 + l/2664 and -22/171.
171
Let b be (201/(-9) + 7)/(2/(-12)). What is the least common multiple of 70 and 36/(-270) - b/(-15)?
210
Let y = 12768 + -12229. Calculate the lowest common multiple of 392 and y.
4312
Suppose 4*l - 2880 = -l. Calculate the common denominator of (-3548)/l + (-4)/(-18) and -23/282.
2256
Let d = -15109 - -9390. Let g = -120550/21 - d. Let f = 136/7 + g. Calculate the common denominator of 46/33 and f.
231
Let s(h) = -h**2 + 20*h - 42. Suppose -10*w + 164 = -16. Let b be s(w). What is the common denominator of -35/3 and 17/b + 0 + 4?
6
Let r = -4907 + -4295. Let f = r + 55061/6. What is the common denominator of f and -11/2?
6
Let y(c) = -c**2 - 7*c - 4. Let t be y(-6). Suppose 0 = -5*r - 5*d + 27 + 38, 0 = 5*d - 20. Calculate the least common multiple of (2/(-6))/(t/(-66)) and r.
99
Let w = -65/2 + 363/10. Let j = -2676881/86 - -31127. What is the common denominator of w and j?
430
Let o = -30 - -48. Suppose 3*z + o - 6 = 0. What is the common denominator of z/(-35)*(-460)/(-24) and 34/3?
21
Suppose 0 = 6*v - 2*v + 72. Calculate the common denominator of 109/12 and ((-69)/v - -5)*-2.
12
Let c = 3144 + -2632. What is the lowest common multiple of c and 10?
2560
Let z be (11 - 297/45)*5/(-2). Let k(g) = 30*g + 341. Let t(q) = 14*q + 1. Calculate the least common multiple of t(1) and k(z).
165
Let h = -1915657/156 - -12280. Find the common denominator of h and 131/1560.
1560
Let g = 7818 - 7090. What is the least common multiple of 70 and g?
3640
Let s = -8577 - -68663/8. Find the common denominator of 79/1832 and s.
1832
Let t be (-110)/(-6) + (-2)/(-3). Suppose 20 = -17*f + t*f.