3 - 2*f**2 - 2*f + 11. Let y be a(-4). Suppose 4*s = -2*b - 2, -4*s - y*b + 50*b = -3. What is the smallest common multiple of s and 169?
338
Let k be 14/10 - 1 - ((-8)/(-20) + -6). Suppose w + 208 = -2*x + 4*w, -x + 3*w = 107. What is the lowest common multiple of ((-10)/5 - x)*2/k and 27?
297
Let g = 376675/24 + -15698. Let f be (-1 + 1862/1864)/((-207)/(-552)). Let a = 1005/1631 - f. Calculate the common denominator of a and g.
168
Let f(o) = 2*o**3 - 7*o**2 + 4*o - 1. Let w(r) = -2*r - 11. Let m be w(-7). Calculate the smallest common multiple of f(m) and 11.
22
Let m = 10882769/10784290 - 4/98039. What is the common denominator of 28/99 and m?
990
Find the common denominator of -11/21 and (((-65786)/(-56))/(-37))/((-417)/2).
5838
Let n = -20763/1924 + 326/37. Find the common denominator of n and -99/104.
104
Suppose -42 = -9*k + 3*k. Suppose 17 + 53 = k*s. Find the common denominator of -23/20 and (-4)/s + (4 - (-267)/(-220)).
220
Let k be -5 + ((-1793)/(-121) - (-2)/11). Find the common denominator of 33/64 and 8/(-160) - (-5)/k.
320
Suppose 52*v = 17*v + 420. Let k = v + 9. What is the least common multiple of 21 and k?
21
Suppose -4*t = 2*b - 442, 21*b - 23*b + 434 = 2*t. What is the lowest common multiple of 30 and b?
2130
Suppose -2*y + 20 = -6. Let q = y - 10. Suppose q*k + 5*d = 49 - 21, 0 = -4*d + 8. What is the least common multiple of 20 and k?
60
Let y be 21/(-35) + (-3 - 2318423/270). Let k = y + 8591. Let q = 3/146 + 2444/73. What is the common denominator of q and k?
54
Let y = 39 + -36. Suppose -163 + 43 = y*d + 5*k, 2*d = 3*k - 61. Calculate the lowest common multiple of (-58)/(-7) + 0 + 10/d and 35.
280
Let l = -582655/132 - -17665/4. Calculate the common denominator of -107/1734 and l.
19074
Let k = 185 - 183. Suppose -i = 2*c - 20, c - 3 + k = 0. Calculate the smallest common multiple of 24 and i.
72
Let w = -6083 - -18071/3. Let j = w + 2911/48. What is the common denominator of j and ((-28)/(-350))/(16/890)?
80
Suppose 1205 - 1292 = 191*p - 2761. What is the smallest common multiple of p and 734?
5138
Let p be 38 - (44/(-11))/(1*-2). Find the common denominator of (106/12)/((-1344)/p) and -29/16.
224
Let r = 24/6643 + 311933/79716. Let f = 15044087/134 + -112270. Calculate the common denominator of r and f.
804
Let w be (144/(-56))/(3/(-112)). Let z = -92 + w. Calculate the smallest common multiple of 18 and (6/z)/1 + 185/10.
180
Suppose 216 = w - 191. Suppose 0 = -i + 2*c - w, 8*c + 823 = -2*i + 3*c. Let a = i - -3255/8. What is the common denominator of -111/20 and a?
40
Suppose 0 = -23*j + 27*j - 19700. Let s = 3379 - j. Let q = 23158/15 + s. What is the common denominator of -23/24 and q?
120
Calculate the common denominator of 283/264 - 48/36 and ((-36)/(-15) + -2)/((-462)/560).
264
Suppose 0 = 5*k - 5*a - 0 + 25, -5*k = -2*a + 13. Suppose -q - 4 = 5. What is the common denominator of 46/31 and k/8*(22 - q)?
248
Suppose -462 + 584 = b. Suppose 311 - b = 9*d. Calculate the smallest common multiple of d and 36.
252
Suppose -48248 = -2*c + 4*z, 0*c = 4*c - 2*z - 96484. Suppose -4*q - c = 44508. Let h = q + 480339/28. What is the common denominator of h and -7/6?
84
Suppose 3*p + 5*z = 2223 - 20303, 4*z + 4 = 0. Let l be p/(-20) + -2 - 3/12. Suppose -61 - l = -6*m. What is the lowest common multiple of 12 and m?
60
Suppose 3*s = -3*d + 12, -20*d - 2*s = -21*d + 16. What is the lowest common multiple of d and 824?
824
Let h = -9 - -29. Calculate the smallest common multiple of h and 24/(-384) + 2/32 - -40.
40
Calculate the smallest common multiple of 5028/24 - 21/14 and 392.
10192
Let m be (-17)/(935/(-47032))*(-4)/816. Let p = 176/85 + m. Let j = -938/5 + 22957/120. Find the common denominator of j and p.
264
Suppose 7*g + 4*d = 2*g + 5956, 4*g + 2*d - 4760 = 0. Suppose -34*x + g = -16*x. What is the smallest common multiple of 42 and x?
462
Let z = 79724243/851 - 93683. Let m = z + -9961/51060. What is the common denominator of 1/40 and m?
120
Let c(i) = -i - 19. Let j be c(-17). Let z be j/2 - 4/(2 + -1). Find the common denominator of (z - -2) + ((-31)/(-15))/1 and -32/21.
105
Let d(w) = 6 - 2 + 13*w - 1. Let h be d(-6). Let g = 823/11 + h. What is the common denominator of -9/2 and g?
22
Suppose -25*g + 467 = -22*g - 37. What is the lowest common multiple of g and 16?
336
Let x = 2215/8 - 278. Calculate the common denominator of x and -2 - (2/9 - (-9)/(-1134)).
56
Suppose 20 = 5*k - 2*j, 0 = -6*k + k + j + 20. What is the smallest common multiple of ((15/k)/5)/(6/144) and 51?
306
Let l = 144 - 142. Suppose -5*k - 5 = 0, -6*k + 7*k + 225 = l*h. What is the least common multiple of 16 and h?
112
Find the common denominator of (-6076)/528 + 4*3/132 and -2/339.
1356
Let p(t) = 2*t**2 - 13*t - 11. Let d = 17 + -7. What is the least common multiple of p(-1) and d?
20
Let x = -108 + 90. Let r be (-4)/x - (-175)/63. Suppose -r*m - 42 = -6*m. Calculate the smallest common multiple of m and 2.
14
Find the common denominator of 87/622 and 34/(-311)*(-23)/(-2024)*8.
6842
Let g = -48 - -45. Let f be (0 + 2)*g*(-4)/(-3). Let a(w) = -w**3 - 8*w**2 - 3*w - 15. Calculate the smallest common multiple of a(f) and 7.
63
Calculate the common denominator of 1 + (14/60)/7 + (-5 - -3) and 37/30.
30
Let u = -3559/240585 + -2/373. Calculate the common denominator of 49/65 and u.
8385
Calculate the common denominator of ((-687)/(-140))/((-6)/(-8)) - 5 and 58/15.
105
Let g = -1802 - -16244/9. Let d = 18369 - 3416551/186. What is the common denominator of g and d?
558
Let p(n) = -n + 28. Let b be p(25). Suppose b*y = 4*f + 11, -4*f + 24 = -0*y + 4*y. Suppose 175 = -y*z + 12*z. What is the lowest common multiple of 6 and z?
150
Let l = 39/368 + 357473/368. Let r = -997 + l. Calculate the common denominator of (70/(-12))/(11/22) and r.
6
Let d = 3630425/62 + -58554. Let m = -250977383/18 + 13937505. Let s = -5680 - m. What is the common denominator of s and d?
558
What is the common denominator of (3/679)/((-240)/(-160)) and -65/22?
14938
Let k = 107 + -152. Let m = -40 - k. Suppose -5*g = 2*q - 42, g + 124 = m*q + 4*g. Calculate the least common multiple of 9 and q.
234
Let f(h) = -2*h**2 + 29*h - 46. Let c be f(13). Let p(o) = 2*o**2 + 6*o - 2. What is the lowest common multiple of p(c) and 12?
108
Suppose 9*i - 302 = -77. Suppose -7*v + 3 = -4*v, 2*t + 5*v = 61. Let j = t - i. What is the least common multiple of 18 and j?
18
Let l(f) be the third derivative of f**4/8 + 63*f**3/2 - 21*f**2 + 2*f. Calculate the least common multiple of l(-37) and 18.
234
Let m = 1047016 + -5612005797/5360. Find the common denominator of -39/4 and m.
5360
Let l(t) = -156*t + 309*t - 154*t + 53*t**2. Calculate the smallest common multiple of 2 and l(-1).
54
Let t = -182 + 185. Let s(n) = n**3 + 3*n**2 - 14*n + 3. Calculate the lowest common multiple of s(t) and 81.
405
Suppose 42*n - 32*n = 1204 + 7056. What is the lowest common multiple of 590 and n?
4130
Suppose -2*l + 3*p - 8 = 0, 2*l + 3*p = 8*p. What is the lowest common multiple of 1 + ((-416)/(-68) - l/(-85)) and 4?
28
Let b = 356215 - 42390976/119. Let k = -510971/83538 - 5/4914. Let m = b - k. What is the common denominator of m and 55/6?
42
Let y(o) = o**3 + 6*o**2 + 2*o + 17. Suppose -q = -d + 2, 0 = -d + 6*d + 20. Calculate the lowest common multiple of y(q) and 7.
35
Suppose 4*u = -2*p + 60, -4*p + 6*p = 2*u - 24. Let z(y) = y**2 - 1. What is the smallest common multiple of u and z(8)?
126
Let n(m) = 3 - 5*m + m - 2*m**2 + m**3 + 3*m. Let b be n(2). Find the common denominator of b - (0 - (-164)/(-88)) and 55/6.
66
Suppose x - 47 + 55 = 3*d, -4*d + 20 = 8*x. Calculate the least common multiple of 1287 and d.
1287
Calculate the lowest common multiple of 8 and 2/5 - (-19 + 372104/(-40)).
37288
Suppose -4082 + 806 = -39*a. What is the lowest common multiple of 12 and a?
84
Suppose -16*q = -2*r - 13*q - 296, r + 146 = 2*q. What is the common denominator of 125/6 and 69/92*r/(-18)?
12
Suppose -26 = r - g, -r - 4*g - 39 - 7 = 0. Calculate the lowest common multiple of (-5)/r - (-23)/6 and 16.
16
Suppose 4*b = 3*i + 17 + 9, -4*i - 33 = -5*b. Find the common denominator of 55/8 and b/((-1450)/255) - 0.
232
Calculate the smallest common multiple of 35 and (3718/13 - 8) + -1 + 3.
280
Suppose -8*i + 18*