.
7
Let a(s) = -s**2 + 8*s - 9. Let p be a(6). Find the common denominator of (-38)/(-16) - (-1 - p)/4 and -65/16.
16
Suppose 0 = -3*c + 5*f + 25, 5 + 5 = 4*c + 5*f. Suppose 0 = -5*w + c*j + 70, 0 = -2*w - 4*j + 5 + 11. Calculate the least common multiple of 32 and w.
96
Suppose -2*m + 5*k + 17 = 0, -3*m - k + 10 = -7. Let p be 4084/9 + (-3)/m. Let d = -452 + p. What is the common denominator of d and -9/10?
90
Find the common denominator of (1 - (-93)/(-101))*-3 and 246/(-20)*(-197)/(-197).
1010
Suppose 5 = f - 26. Let j = f + -41. Find the common denominator of -57/2 and (356/(-220))/(4/j).
22
Let y = -156/25 + 559/100. What is the common denominator of (-1444)/1152 + (-2)/(-9) and y?
160
Suppose 2*y + 2*u = 6, 5*y - u + 15 = 4*u. Find the common denominator of 35/2 and ((-249)/14)/(3 + y).
14
Let g be (-25)/(-15)*(-396)/(-1). Let x = 1351/2 - g. Find the common denominator of 25/16 and x.
16
Let x be (-2 - 0)*20/(-8). Let r(w) = w**2 - 5*w + 22. Calculate the least common multiple of 2 and r(x).
22
Suppose -12215 + 1811 = 3*t. Let r = 15221/14 + -7668/7. What is the common denominator of r and t/(-576) - 2/6?
112
Suppose 0 = 5*z - 1 - 9, -o + 12 = 5*z. Let n = -7996/3 + 2641. Calculate the common denominator of 1716/55*o/8 and n.
15
Let n = -18 + 63. Suppose 5*h = -5*b + 35, -5*b = -2*h + 5*h - n. What is the least common multiple of b and 15?
60
Let x(k) = 3*k**2 - 27*k + 36. Let f = 39 - 14. Suppose f - 187 = -3*a. What is the lowest common multiple of x(8) and a?
108
Let f = -15/194 - -1271/6402. Find the common denominator of (1102/1463)/(3 - (-24)/(-7)) and f.
33
Let f(b) = b**2 + 11*b - 4. Let k(o) = o**2 + o - 17. Let z be k(4). Calculate the lowest common multiple of 5*z*(1 + (-8)/24) and f(-12).
40
Let h = -216 - -226. Suppose -b - 4 = 5*y + 3, -5*b = 3*y - 75. Calculate the least common multiple of h and b.
90
Let l = -34 - -7. Let y = -394 - -2249/6. Find the common denominator of l/24 + 1 + 0 and y.
24
Let r = 50111230866949/18074196822 + -852/7401391. Let f = -51850266289/18808284 + r. Let q = f + -2/3851. What is the common denominator of q and 17/2?
4
Suppose -6*a = 101 - 1661. Calculate the smallest common multiple of 90 and a.
2340
What is the least common multiple of 130 and 2 - (-44)/(-4)*-3?
910
Suppose 5*b + 4*y = -0*b + 11, 3*b = -3*y + 6. Suppose 2*o = -4*j - 2, b*j - 5*o - 21 - 10 = 0. Calculate the least common multiple of 3 and j.
6
Suppose -4*h = 9 - 81. Let q be 98*1 - (-20 + h). What is the common denominator of ((-42)/(-4))/((-135)/q) and -57/4?
36
Let m(l) = -2*l**2 - 45*l - 48. What is the lowest common multiple of m(-21) and 11?
165
Let w(h) = -49*h**3 - h**2 + 1. Let f be w(1). Let z = -47 - f. Calculate the least common multiple of 40 and z.
40
Suppose 5*p + 74 = -4*o - 39, 0 = -p - 1. Find the common denominator of 2937/(-378) - 2/7 and o/(-135) + (-6)/4.
90
Let l = 23756/5 + -4795. Let v = l - -232/5. Find the common denominator of v and 59/100.
100
Let j(m) = m**3 - 12*m**2 + 9*m - 12. Let b be j(11). Let d = 36 + b. Calculate the lowest common multiple of d and 3.
6
Let i = 17 - 25. What is the common denominator of (-1 - (-80)/(-6))*2/i and -151/18?
36
Let o(p) = 2 - p + 0*p + 3. Suppose q + 5*m = -0 - 5, 2*q - 55 = 3*m. Calculate the smallest common multiple of q and o(-5).
20
Let k be (2/45)/((-33)/1740). Let b = k - -1/99. Find the common denominator of -11 + 23 + -12 - (-78)/(-14) and b.
21
Let x = 364/11 + -354/11. Find the common denominator of 50/41 and x.
451
Suppose 4*p - 18 = -s, -2*p = -0*p - 8. Suppose 3*c = -3*b - 12, s*c + 4 = 3*b - b. Calculate the common denominator of 65/4 and (-1 - c)*(-278)/(-24).
12
Suppose 5*s - 29 = 16. Let a = -856 - -862. Find the common denominator of ((-236)/a)/(s + -11) and -1/5.
15
Let p = -34 + 12. Suppose 4*h + t = 41, -t = -0*t - 5. Calculate the lowest common multiple of h and 1/(64/p + 3).
99
Suppose -279 = -8*p + 81. What is the smallest common multiple of p and 27?
135
Find the common denominator of 61/105 and -1 + 2 + -1 + (-672)/700.
525
Let l(y) = -y**3 - y**2 - y + 2. Let r be l(0). Suppose 5*w + 3*n = 5*n, 0 = r*w - n. Suppose 4*i - 36 = -w*i. What is the smallest common multiple of i and 9?
9
Let f = 60 + -33. Calculate the lowest common multiple of 36 and f.
108
Let f = 66 + -44. Let l = -45 - -47. Let r(b) = -b + 8. Calculate the lowest common multiple of r(l) and f.
66
Suppose 106 = 2*m + 4*u - 38, 3*u - 213 = -3*m. What is the least common multiple of m and 154?
770
Let r be (-90182)/(-22) + (-4)/22. Let j = r - 98507/24. Calculate the common denominator of j and -99/20.
120
Let k = 34 - 11. Suppose -k*t + 68 = -21*t. Let f = t - 26. What is the smallest common multiple of 32 and f?
32
Suppose 0 = -3*v + 2*a + 20, 0*v + 2*a - 20 = -2*v. Let d = -65/24 - -17/8. Calculate the common denominator of 604/32*v/(-18) and d.
36
Let o(j) = j + 13. Let h be o(-9). Let p = 2 + h. Calculate the smallest common multiple of 54/8 - 2/(-8) and p.
42
Suppose -3*v + 119 = 32. Let p = v - 17. What is the lowest common multiple of p and 2?
12
What is the least common multiple of 29 and (-39)/13 + (-1)/((-3)/12)?
29
What is the lowest common multiple of ((-40)/18)/(37/((-3996)/24)) and 420?
420
Let f(q) = q + 14. Let r be f(-12). What is the common denominator of 23/44 and 522/105 - 1/(5/r)?
308
Suppose -30*r - 19*r + 245 = -0. Calculate the smallest common multiple of r and ((-2)/6)/((-2)/42).
35
Let y = -221475/22 + 10062. Let a = -1470723/116 + 12679. Find the common denominator of a and y.
1276
Let y(o) = 15*o**2 - 1. Calculate the least common multiple of y(1) and 18/10 - (-4)/20.
14
Let n = 2826 + -2662. What is the least common multiple of 14 and n?
1148
Find the common denominator of 106/(-8) - (-31)/62 and 97/730.
1460
Suppose 12*g - 9*g = 18. Suppose g*p = 5*p + 4. Calculate the common denominator of 15/8 and ((-94)/(-24))/(3/p).
72
Suppose -z = 3*z + 2972. Let r = z + 8893/12. What is the common denominator of r and -25/122?
732
Let j = -1746563 - -358043997/205. Let l = -110/41 + j. Calculate the common denominator of l and 39/5.
5
Let n = -1484 - -1572. Calculate the least common multiple of n and 20.
440
Let v = 86321/16 - 5390. Find the common denominator of v and -15/112.
112
Let z = 120 + -50. Calculate the smallest common multiple of 100 and z.
700
Calculate the common denominator of ((-1)/(-16))/((-9)/246) and -82/117.
936
What is the common denominator of 1 + 5071/(-363) + 12 and 77/69?
759
Find the common denominator of 61/5 and (-8582)/(-1020) + (-4)/6 + -7.
170
Let w be -1 - ((-8 - -1) + 2). Let d be 48/20 - w/10. Suppose -d*m - 3*m = -80. Calculate the smallest common multiple of m and 20.
80
Find the common denominator of 69/20 and (2/3 + -1)*213/(-8).
40
Let t = 35 + -33. Suppose -t*p - u = 2*p - 31, 5*p - 65 = 4*u. What is the smallest common multiple of p and 1?
9
What is the common denominator of 143/102 and (140/45)/(-14) + 34/396?
1122
Suppose -694*k = -708*k + 154. Calculate the least common multiple of k and 273.
3003
Calculate the common denominator of 8/429 and (616/78 - 2) + (-1 - 6).
429
Calculate the common denominator of (1/10)/((-78)/(-165)) and 1/4.
52
Calculate the lowest common multiple of (-3 + -39)*(-2)/(1 - -3) and 6.
42
Let i = 19 - -2. Let n(u) = -u**3 - 6*u**2 + 18*u + 49. What is the smallest common multiple of i and n(-8)?
231
Find the common denominator of 83/56 and (-4)/(-24)*82/(-8) - 3.
168
Let s(w) = -w + 4. Calculate the least common multiple of 22/55 - (-1 - (-72)/(-20)) and s(0).
20
Let y = 332/15 - 22. Let v = -29/120 - y. Calculate the common denominator of v and 19/4.
8
Let s be 37362/(-45)*9/12. Let v = 624 + s. Let b = v - -253/15. Find the common denominator of 71/12 and b.
12
Calculate the common denominator of 33/40 and 1795/560 - (22/7 + -3).
80
What is the common denominator of (9 + 1)/(189/(-35)) and ((-182)/(-154))/13 - 388/(-330)?
135
Calculate the common denominator of (-1057)/(-42) - 5/15 and (-14)/(-60)*(8 - (-23)/4).
24
Suppose -4*c + 4*g + 16 = 0, -4*g + 10 = -9*g. What is the least common multiple of (1 + 1)/c - -1 and 4?
4
Suppose 5 = -b + 5*k, 6*k - 9*k = 2*b - 55. Calculate the lowest common multiple of 2 and b.
20
Let g = 4423 - 159241/36. Find the common denominator of 29/14