 + f. Calculate the lowest common multiple of a and t(-25).
198
Suppose 4*p - 15 + 3 = 4*i, -i = p + 1. Let r be i/(-6) + (-744)/(-9). Calculate the common denominator of 85/22 and r*-2*(-1)/4.
22
What is the lowest common multiple of 20 and (-6 - -782)/8 - 7?
180
Find the common denominator of 67/42 and 1*18/765*(-10)/14.
714
Let w(v) = 1. Let d(u) = -u**2 + 5*u - 3. Let p(t) = d(t) + 2*w(t). Let f be p(4). Suppose f*r + 20 = 86. What is the smallest common multiple of r and 8?
88
Suppose -5*n - 31*i + 26*i = -1440, -2*n = 4*i - 580. What is the smallest common multiple of n and 156?
1716
Let a be ((-45)/(-6))/(1/4). What is the common denominator of 35/2 and 42/9*a/(-8)?
2
Let i = -5282949/31 - -339838921/2046. Let k = -25925/6 - i. Calculate the common denominator of -10/9 and k.
99
Let s(z) = 2*z**2 - 4*z + 4. Let u be s(2). Suppose 3*c - 3 - 69 = -3*t, 91 = u*c + 5*t. What is the smallest common multiple of c and 8?
232
Let j = -4077/80 + 252/5. What is the common denominator of j and -103/106?
848
Find the common denominator of -79*((-2)/11 - 35/(-132)) and 73/46.
276
Suppose 1292 = -4*i - 1356. Let g = i - -5381/8. Calculate the common denominator of g and (-1909)/(-46)*1*(-2 + 3).
8
Let s = -565 - -577. Calculate the smallest common multiple of s and 4.
12
Let m(z) = z**3 - 18*z**2 + 33*z + 6. Calculate the least common multiple of m(16) and 16.
176
Let l = 25 - 21. What is the least common multiple of l and 65?
260
Suppose 116 = 4*x - 3*l, -4*x + 7*l = 3*l - 112. Calculate the lowest common multiple of 72 and x.
288
What is the common denominator of (-106)/(-534) + (0 - 0) and -71/4?
1068
Let u be 3/12 + (-825)/(-12). Suppose 4 - 21 = -c - 3*f, -5*c + f = -u. What is the lowest common multiple of c and 2?
14
Let h(a) = -3*a**3 - 4*a**2 + 4*a + 7. What is the lowest common multiple of h(-2) and 120?
840
Let z = 2406 - 14369/6. Find the common denominator of z and ((-4)/84)/((-37)/185).
42
Calculate the common denominator of (-14 + 5925/420)*24/(-118) and 2/531.
3717
Let a = 16472 - 7593607/461. Let i = 24197/6915 + a. Calculate the common denominator of 46/3 and i.
15
Suppose -4*c + 121 - 13 = 0. What is the least common multiple of c and 114?
1026
Let f = -85111/28776 - 3/4796. Calculate the common denominator of f and 113/(-36) - -1 - (-29 + 27).
72
Let h be 86212/(-60) + 2/(-15). Let o = h + 12874/9. Calculate the common denominator of (5/(-36))/((-2)/88) and o.
9
Suppose -4*f + 2 = -30. Let r = -1232 + 1236. What is the smallest common multiple of r and f?
8
Let x(s) = s**2 - 4*s - 15. Let l be x(6). Calculate the common denominator of -71/10 and (-3)/(-105 - 3)*l/11.
660
Let c(v) = v**2 + 5*v + 14. Let k(s) = s**2 + 6*s + 15. Let f(n) = -3*c(n) + 4*k(n). Calculate the lowest common multiple of 14 and f(-9).
126
Suppose -3*l + 4 = -23. Let u(d) = 3*d**2 + 3*d + 3. Calculate the smallest common multiple of l and u(-3).
63
Suppose -2 = -z + 4. Suppose 0 = 4*y - 2 + 14, r + 2*y - z = 0. Suppose 3*n - 19 = 5*u - 64, 5*n - 37 = -u. Calculate the lowest common multiple of r and u.
12
Suppose 2*t = -5*t + 14. Suppose 3*q + 3*o - 12 = 0, 4*q - 4*o + 4 = t*q. What is the smallest common multiple of q and 16?
16
Let l(k) = 31*k + 2. Let i be l(4). Find the common denominator of (14/i)/(10/(-21) - -1) and -76/9.
99
Let p(u) = u**3 - 18*u**2 + 17*u + 3. Let m = 20 - 12. Suppose -4*v = -m - 28. Calculate the smallest common multiple of p(17) and v.
9
Let m = -59893/24 + 2498. What is the common denominator of -83/30 and m?
120
Calculate the common denominator of 1 + 1/(150/(-429)) and -69/80.
400
Suppose -14184 = 2*n + 4*l, -6*l + 3*l - 21270 = 3*n. Let o = 85105/12 + n. Find the common denominator of o and (-1)/3*243/(-150).
300
Let h be (518/34)/(33/15). Let x be (-7 + (-1864)/(-272))*590/(-25). Let w = x - h. Calculate the common denominator of w and -21/10.
110
Suppose 6*t - 29*t + 2070 = 0. Calculate the smallest common multiple of t and 9.
90
Find the common denominator of -13/14 and 196/(-48) - (-3)/36*3.
42
Let g = -1699/4 - -445. Find the common denominator of -61/34 and g.
68
Suppose 2*c + p = -2*p + 142, 2*p + 64 = c. What is the lowest common multiple of c and 340?
340
Suppose -j + 0*j = -1. Calculate the common denominator of -106*(27/(-30))/9 and j + 0 + (-17)/6.
30
Let w = 27911/10 - 2786. Find the common denominator of -35/541 and w.
5410
Let u(m) be the third derivative of -1411*m**4/12 + m**3/3 - 4*m**2. Let c be u(-2). Let a = 67691/12 - c. Find the common denominator of a and 25/8.
24
Suppose 3*v = 30 - 3. Suppose 4*z = -15 - v. What is the common denominator of -16/11 and 1/z - (-69)/3?
66
Let u = -861 - -873. What is the least common multiple of 1 - (0/1 + -19) and u?
60
Let z(i) = -5*i + 2. Let p be z(2). Let r(t) = -t**2 - 9*t - 5. Let f be r(p). Suppose 17 + f = 5*v. What is the least common multiple of v and 1?
4
Let l = -29207/6 + 4891. Calculate the common denominator of l and 5/3.
6
Let r(m) = m**2 - 6*m + 1. Let n be (-4)/8*1*-18. Let v(w) = w**3 - 9*w**2 + 3*w - 7. Calculate the least common multiple of r(7) and v(n).
40
Let r = 18 - 2. Suppose 5*x + 80 = 4*t, 12*t - 7*t = -3*x + 100. What is the least common multiple of r and t?
80
Let d = -5695 - -599. Let b = 30221719/8 + -3782804. Let h = b - d. What is the common denominator of h and 33/2?
8
Let v = -15443/53264 + -117798707/741807728. Let g = 1/733 + v. Find the common denominator of 19/2 and g.
38
Let d(z) = 14*z + 10*z + 19*z - 40*z + 7. Suppose 2*g - 8 = -2*g. What is the smallest common multiple of g and d(3)?
16
Let d be (-415)/(5*(-5)/(-25)). Find the common denominator of (-12)/(-28) + d/21 and 30/11.
33
Suppose -2*k + 186 = 132. What is the lowest common multiple of k and 198?
594
Let b = 3/7375 - -641583/103250. What is the common denominator of 96/128*(-41)/3 and b?
28
Let m be 57/(-2)*(-220)/(-33). What is the common denominator of -1/20 and ((-4)/80*-4)/((-88)/m)?
220
Let c be (-50450)/66*(-3 - (-230)/75). Let l = c - -472/9. What is the common denominator of -115/78 and l?
858
Let j be 591322/237384 - (-2 + (-45)/(-21)). Let f = j + 7/1884. What is the common denominator of f and 7/9?
54
Let t = 3787 + -27128/7. Let s = t - -1917/14. What is the common denominator of s and 103/12?
12
Suppose 0*j - 2*j = 4*t - 40, 0 = 3*t + 6. Suppose -2*r + 3*r - 7 = 0. Suppose -r = 5*x - 67. Calculate the least common multiple of x and j.
24
Let y(a) = 6*a + 24. Let f be y(-6). Calculate the common denominator of (-66)/20*(-16)/f and -11/4.
20
Suppose -3*b + 7 = 4*l - 55, -l + 3*b + 8 = 0. Let o(p) = 2*p**2 + 5*p - 7. Calculate the smallest common multiple of o(-5) and l.
126
What is the common denominator of ((40/6)/(-4))/3 and 1/(96/308) + (0 - 4)?
72
Let b be (-3)/(-170)*(-5)/4. Let m = -479/136 - b. Calculate the common denominator of m and (-676)/(-240) + 1/(-6).
20
Suppose 0 = -7*r + 2*r - 150. Find the common denominator of ((-62)/(-4))/(r/(-12)) and (0 - -2)*250/(-24).
30
Let y = -29803952159 - -2008011473194645/67374. Let f = -1/7486 - y. Find the common denominator of f and 37/7.
63
Suppose 7*w - 6*w - 71831 = 0. Suppose b + 2*i = -23943, -2*b - b - 4*i = w. Let d = b + 574789/24. Find the common denominator of d and 69/4.
24
Let s = 5 - 8. Let u = -3168/5 - -6431/10. Calculate the common denominator of u and 2/s - 290/12.
6
Let x be (-6202)/(-1380) + 30/10. Let j = 2/345 + x. Calculate the common denominator of -29/18 and j.
18
Let j(d) = -d**2 - 12*d + 28. Calculate the smallest common multiple of j(-11) and 141.
1833
Let q(u) = -2*u**2 - 48*u + 10. Calculate the lowest common multiple of q(-24) and 90.
90
Suppose -2*x = 3*f - 65, -5*f - 5*x + 75 = -25. Let q be (-84081)/(-7560) - (-10)/f. Let d = q + -88/63. Calculate the common denominator of d and -25/4.
8
Let r(k) = -2*k + 10. Let z be r(-9). Let w = -19 + z. Suppose -2 = 2*h - 4. Calculate the least common multiple of h and w.
9
Let s = 41569/14 + -2966. Calculate the common denominator of s and (-4060)/(-980)*7/2.
14
Let j = -12 - -34. What is the lowest common multiple of j and (16 + -8)/(2/1)?
44
Let o = 559 - 554. What is the lowest common multiple of 42 and o?
210
Let g = 1079 - 715. What is the smallest common multiple of g and 70?
1820
Let y(d) = 12*d**3 - 2*d**2 + 1. Let a be y(-1)