ommon denominator of ((-18)/(-972))/((-2)/309) and -95/22?
396
Suppose 3*c = c + 44. Suppose z = 5*z - 4. Calculate the smallest common multiple of ((-50)/35)/(z/(-7)) and c.
110
Suppose -17*j = -16*j - 7. Let l = 125 - 112. Calculate the least common multiple of l and j.
91
Find the common denominator of (12/(108/(-45)))/2398 and 107/20.
23980
Let r(x) = -4*x - 20. Let a be r(-13). Suppose 4*v - 3*d = 220, -2*v + 4*d - a = -132. Calculate the lowest common multiple of v and 18.
522
Find the common denominator of 107/36 and 483/600 + 46/(-575).
360
Let i(z) = -z**3 + 8*z**2 - 9*z + 22. Let m be i(5). Suppose -5*b = -3*u + m - 10, -3*b - 9 = 0. What is the lowest common multiple of u and 5?
45
Let n = -56249/16 + 3519. Calculate the common denominator of -37/16 and n.
16
Let d be (-6)/(-14) + 8/342720*-3849. Let m = -16/51 + d. What is the common denominator of m and 77/40?
40
Let n = -1691 - -1713. Suppose 3 - 7 = -x. What is the least common multiple of x and n?
44
Let r(b) be the third derivative of -b**5/60 - 13*b**4/24 - b**3/3 + 21*b**2. Let o = 18 + -29. Calculate the smallest common multiple of r(o) and 14.
140
Let n = -2/83 + 459/1826. Let y be -2 - (61074/(-1))/3. Let u = y - 447907/22. Calculate the common denominator of n and u.
22
Suppose 0 = 4*f - 5*z - 84, -4*f - 5*z = -0*f - 124. Find the common denominator of 95/(-195) + -1 - (-4)/f and 11/7.
21
Let o = -490085/61 + 8034. Calculate the common denominator of o and 37/6.
366
Let t = 63 - 51. What is the least common multiple of 21 and t?
84
Let q be (-4)/10 + 388/20. Suppose -6 = 5*o + q. Calculate the smallest common multiple of 2 and (-1)/o + (-472)/(-40).
12
Suppose 61*z - l = 60*z + 15, -5*z = 5*l - 25. What is the least common multiple of z and 23?
230
What is the common denominator of ((-174)/(-8))/(4 + 1243/(-88)) and 23/117?
351
Suppose -86 = -3*s - 4*a, -5*s + 71 = -2*s + a. What is the lowest common multiple of 11 and s?
22
Let r(b) = -4*b**2 + 45*b + 13. Let x be r(11). Suppose -x = -5*f + 26. Let z = -12 - -26. What is the least common multiple of f and z?
70
Suppose 0 = 4*u - 5*v - 90, 5*u = 3*v + v + 117. Calculate the smallest common multiple of 30 and u.
150
Suppose 12*j = -23673 + 23685. Calculate the smallest common multiple of (-1)/5 - (-6)/5 and j.
1
Let v = -554 + 8296/15. Find the common denominator of -61/45 and v.
45
What is the common denominator of (-6)/9*-3 + 92/240 and -95/36?
180
Let w(g) = -g**2 - 9*g - 2. Let q be w(-8). Let l be (-6)/18 - 4/q. Find the common denominator of -67/10 and (l/15)/(6/(-342)).
10
Let k be 2 - (-4 - -3)*-3. What is the common denominator of 308/24 - k/2 and -46/5?
15
Let v(t) = t**2 - t. Suppose 9*a - 87 - 75 = 0. What is the smallest common multiple of a and v(7)?
126
Let x = -2/1329 - -25255/2658. Find the common denominator of 2871/(-180) + 7 + 3 and x.
20
Suppose -5*l + w = -3*w + 1642, 1000 = -3*l - 5*w. Calculate the common denominator of 121/6 and (l/(-135))/(8/(-42)).
6
Suppose -4*s - 5 = -57. Suppose 0 = -3*v - v + 28. What is the smallest common multiple of s and v?
91
Let h = -154837/16 + 9683. Let u = -39786401/12 - -3320205. Let d = u + -4665. Calculate the common denominator of h and d.
48
Calculate the common denominator of 91/12 and (-158)/8*(-18)/(-45).
60
Let q = 65/38 + 1637/76. Let r(d) = -d**3 + 8*d**2 + d - 5. Let m be r(8). Calculate the common denominator of 28/m - (-3 - -1) and q.
12
Let i = -5 - -7. Suppose k + i*a = 18, -k + 2*k = a + 12. Let u(w) = 4*w - 8. Calculate the lowest common multiple of k and u(8).
168
Let q = 1078/5 - 4341/20. Find the common denominator of q and 7/40.
40
Suppose 5*y = 5*u - 0*y - 215, -4*u = y - 147. Let m = 29 - 26. Suppose -m*j - 5 = -u. What is the least common multiple of 8 and j?
88
Let m = -526 + 541. What is the smallest common multiple of m and 44?
660
Suppose -5*p + 195 = -105. Calculate the least common multiple of p and 64/(-6)*12/(-8).
240
What is the common denominator of -44/35 and ((-568)/100 - -8)/((-41)/5)?
1435
Let m(a) = a + 13. Let h be m(-9). Suppose 0 = -4*z - h*s - 680, 2*z - 2*s - 682 = 6*z. What is the common denominator of (z/(-12) - -2) + 0 and 15/2?
4
Let z = 6839/6 - 1135. Find the common denominator of z and -35/12.
12
Let s be ((-126)/70)/((-6)/40). Suppose -3*w = 2*w - 2*z - s, 4*w + 2*z - 24 = 0. Calculate the smallest common multiple of w and 2.
4
Suppose 3*m + 124 = -m. Let d = m - -43. Let v = 124 - 104. Calculate the least common multiple of d and v.
60
Let k(u) = u**3 + 8*u**2 - 2*u - 23. What is the smallest common multiple of k(-7) and 18?
360
Let t(m) = 2*m**2 - 10*m + 32. Let c be t(5). Calculate the common denominator of -59/3 and (-18)/c*1102/(-57).
24
Let t = 59228/7135 - 3/2854. Calculate the common denominator of (-1)/((-96)/(-452)) - 0 and t.
120
Let i = 592040 - 3571427/6. Let o = i - -3174. What is the common denominator of o and -149/6?
6
Let x = 5662974 + -1381762311/244. Let b = x - -5/122. What is the common denominator of -139/24 and b?
24
Let p(o) = o + 10. Let z(l) = 41*l**3 + l**2. Let a be z(1). Let i = 45 - a. What is the least common multiple of i and p(0)?
30
Let b = -2/1967 - 114080/5901. Find the common denominator of 149/294 and b.
294
Let l be (-199)/(-6) + (-1)/6. Let y = l + -19. Suppose 0*j = -3*j + f + y, -3*f = j - 8. What is the smallest common multiple of 6 and j?
30
Let l = 48 - 45. Suppose -3 = l*j - 6. Let o = 44 - 26. Calculate the smallest common multiple of o and j.
18
Let p(d) = -3*d**3 - 2*d**2 - d + 7. Let b be p(-6). Let q = 313/68 + -6/17. What is the common denominator of q and (-4)/(-18) + b/(-18)?
4
Calculate the common denominator of 2822/714*7/(-6) and 11/78.
234
Suppose 5*o - 98 = -8. Suppose 0 = 33*k - 36*k + o. What is the least common multiple of 5 and k?
30
Let r be (-819)/(-26) + -1 + 3/2. What is the common denominator of 3/8 and (-4*(-4)/r)/((-8)/(-22))?
8
Let t(u) = -2*u**2 - 25*u - 29. What is the lowest common multiple of (-54)/(-10) + 2/(-5) and t(-11)?
20
Suppose -2 = 2*v - 6. Suppose s - 1 = -v. What is the lowest common multiple of 1 and s/(-2) - (-17)/2?
9
Let x be 6/(-8) + (-3 - 143/(-4)). What is the common denominator of (-460)/x + 0 - (1 + -3) and 2/73?
584
Let f = -139/47 - -193997/65612. Let m = 4798/1047 - f. Calculate the common denominator of -17/16 and m.
48
Let h be ((-6)/(-10) - 1)/(1577/5). Let z = h - -28396/7885. Calculate the common denominator of (-1)/2 + (-110)/16 and z.
40
Let m = -14440563137/3097684620 + -3/7648604. Let f = m - 2/405. What is the common denominator of 34/11 and f?
33
Let u = -22689955177132/4205 + 5395946478. Let m = u - 4/841. Let s = 318/5 + m. Calculate the common denominator of 99/2 and s.
10
Let o be (-161)/(-42) + 2/12. Suppose 5*v + i - 26 = 0, -i - 38 = -3*v + o*i. What is the smallest common multiple of 33 and v?
66
Let l = -3278651/136 - -24107. What is the common denominator of l and 53/22?
1496
Let j = 274 - 270. Calculate the least common multiple of j and 88.
88
Let r(b) = 7*b - 147. Calculate the lowest common multiple of r(29) and 5.
280
Let s(c) = c + 1. Let i(n) = -n - 11. Let a(w) = i(w) + 2*s(w). What is the least common multiple of a(11) and 2?
2
What is the common denominator of 1/13*((-276)/90 - -9) and -1/195?
195
What is the common denominator of (-7)/35*(-37)/20 and -27/10?
100
Suppose 5*h = 24 - 44. Calculate the common denominator of (-23)/40*(5 - (-2 - h)) and 91/32.
160
Suppose -2*b = 27 - 19. Calculate the smallest common multiple of (b + -2)/12 + (-82)/(-4) and 4.
20
Let z = 69/175 - -7513/4025. Suppose -23 = -4*y - 11. Let m(u) = -18*u + 20. Calculate the common denominator of m(y) and z.
23
Find the common denominator of 52/3 and (-3010)/(-1395) + 13 + -15.
279
Let n be 1/6 - 115/(-30). Suppose -n*y - 11 = 1. Calculate the smallest common multiple of 7 and (-7 - y) + (12 - -3).
77
Suppose -3*x + 35 = 3*m - 1, 0 = -3*x - 4*m + 40. Suppose -5*j = 3*c - 21, -5*c + 5*j - j = 2. What is the smallest common multiple of c and x?
8
Let u(p) = -p**3 + 11*p**2 - 13*p - 17. Let q be u(-12). Let a = 62195/18 - q. Calculate the common denominator of a and -19/16.
144
Let d = -183229207333/15604 + -53671/23406. Let u = -11752671 - d. Let b = -10229 - u. Calculate the common denominator of 39/10 and b.
