ommon multiple of v and 10.
110
Suppose -5*o - 2*t = 25, 2*o - 5*t - 11 = -10*t. What is the common denominator of (65/(-330))/(-2*(-6)/(-108)) and 1045/(-350) + (-2)/o?
110
Let p = 130 - 82. Suppose 0 = -4*s + p. What is the smallest common multiple of s and 6?
12
Let y(t) be the third derivative of t**6/120 - t**5/10 + 5*t**4/24 + 5*t**3/6 + t**2. Let f(k) = -k + 13. What is the least common multiple of y(5) and f(0)?
65
Suppose q + 3*d + 18 = -2*d, -5*d = 5*q + 10. What is the common denominator of (-221)/6 + q/6 and -5 + 1 - (78/72 - 5)?
12
Let q = 29505/13 + -2271. Calculate the common denominator of q and -37/39.
39
Let f(w) = w**3 + 20*w**2 - 3*w + 18. Let s be f(-15). What is the common denominator of 1*6/27 + 1977/s and -107/22?
44
Find the common denominator of -35/3 and (32/9)/(-2)*(-2295)/(-1836).
9
Let v = -6 + 8. Let d(j) = j**2 + 5*j - 3. Let b be (2 + -1 - 2)*-2. What is the lowest common multiple of v and d(b)?
22
Let s = 9526 - 57055/6. Let q = -582 + 3365/6. What is the common denominator of s and q?
6
What is the common denominator of 143/560 and (120/(-160))/((-15)/(-71))?
560
Suppose 18 = 5*m + 3. Let o = 33953/6 - 5673. What is the common denominator of m + (1 - (-128)/(-22)) and o?
66
Let c(w) = w**3 + 18*w**2 - 21*w - 20. Let h be c(-19). Let b = 20 - h. What is the lowest common multiple of b and (3/2)/(1/2)?
6
Let g = -230819/991515 - -4/28329. What is the common denominator of 26/11 and g?
2695
Let a(x) = 22*x - 87. Calculate the smallest common multiple of 12 and a(18).
1236
Let w(z) = z**3 + 16*z**2 + 7*z - 65. Calculate the smallest common multiple of (-1)/(-3) + (-20)/(-3) and w(-15).
385
Suppose -212*s = -214*s - 36. Calculate the least common multiple of (s - 10/5)/(-1) and 62.
620
Let t = -3188/255 + 140/17. Calculate the common denominator of t and 143/18.
90
Let h = 1144807/4104240 - -4/17101. Calculate the common denominator of 121/24 and h.
240
Let m = 176 + -158. What is the smallest common multiple of 3976 and m?
35784
Let s = 43 + -46. Find the common denominator of s - (228/16 - 4) and -11/14.
28
Let b be (2 - 1)/((-2)/16). Let j be 12/8*b/(-3). Suppose -g + 35 = j*d, -2*g - 37 = -5*d - 3. Calculate the least common multiple of d and 11.
88
Let d(s) = 5*s + 4. Let v be (18/4)/(6/(-12)). Let t be (-170)/(-45) + (-2)/v. What is the smallest common multiple of d(t) and 22?
264
Let g = -35 - -70. Suppose g*q - 8 = 31*q. Let m = -4 + 6. Calculate the smallest common multiple of m and q.
2
Calculate the common denominator of -7 - 128/(-1160) - -7 and 61/261.
1305
Let c = 981 + -980. Calculate the smallest common multiple of c and 10.
10
Let u = -4842 + 87239/18. Calculate the common denominator of u and 41/42.
126
Let x = -514888/27 + 19071. What is the common denominator of x and (129/8)/(9*-1)?
216
Let p be (-16)/(-6) - (-28)/(-42). Find the common denominator of ((-59)/(-2))/((-3)/p) and 119/6.
6
Let q be (-4 + 1)/((3/(-1))/3). Suppose 0 = -y - 4*i + 28, 3*y - 40 = -q*i + 2*i. What is the lowest common multiple of 20 and y?
60
Let w be 4 + -2 - 0 - 3. Let q be (-45)/(w/(-2) - 2). Calculate the lowest common multiple of q/4 - (-6)/12 and 18.
72
Let h = -2857/8904 - 7/106. Find the common denominator of h and -80/33.
1848
Let m(s) be the second derivative of -s**4/6 + 17*s**3/6 + 3*s**2 - s. Suppose 36*f = 37*f - 8. What is the least common multiple of m(f) and 2?
14
Let f(d) = -3*d - 36. Calculate the lowest common multiple of f(-13) and 2.
6
Suppose -16 = 3*w - 88. What is the lowest common multiple of 60 and w?
120
Let i be 7/(-14) + (-22)/(-4). Suppose 3*o - i = -2*f, -4*o + 2 = -6*o. Calculate the least common multiple of f and 8.
8
What is the common denominator of (124/(-154))/((-159)/(-371)) and -143/12?
132
Let n(x) = -x**3 - 4*x**2 - x - 3. Let v be 2 - (1 + -3 - (-3)/3). Suppose s = 0, -v*s - s = 4*z - 8. Calculate the smallest common multiple of z and n(-4).
2
Let l = -339 + 344. Calculate the lowest common multiple of l and 90.
90
Suppose v - 1 = 0, -4*q + 0*v = v + 55. Calculate the common denominator of -1 - -4 - (-4)/q and 27/8.
56
Let x = 2623/625 + 2/625. Let f = x - 229/45. Calculate the common denominator of f and (48 - -18)*(-4)/(-42).
63
Let a = 9345 + -149569/16. Let q(b) = 2*b**2 - 23*b + 6. Let v be q(11). Find the common denominator of a and 23/12 + (v - -2).
48
Suppose m - 11 = -2*g, -m + 6*m = -2*g + 23. Let r(u) = 0*u - 12 + u + 5 + m + u**2. Calculate the lowest common multiple of 11 and r(-3).
22
Let q = -11/3791 - -527477/181968. Find the common denominator of q and 2 + 16/(-6) + 475/90.
144
Find the common denominator of -103/28 and 0/1 + 2 + 7259/(-2856).
168
Suppose -t + 14 = -0*t. Let p(v) = v**2 - 17*v + 21. Let h be p(16). Suppose -b = -h*b + 8. What is the smallest common multiple of b and t?
14
Suppose 4*x - 6 = -k, k + 3 = -5*x + 12. What is the smallest common multiple of 7 and 0 + k*(-1)/1?
42
Let k(b) = 5*b - 37. Let d be k(17). What is the least common multiple of (-2)/(-6) + 65/3 and d/5 + 12/30?
110
Let t = -18 + 23. Suppose -17207 = -t*q + 47298. Let k = -154715/12 + q. Find the common denominator of k and 3/2.
12
Let d = 85777/10 + -8567. Calculate the common denominator of 88/15 and d.
30
Let p = 28417/1794 + -2/299. Find the common denominator of p and (-1)/9*(3 - 14).
18
Find the common denominator of -101/384 and (-172)/1344 - ((-30)/(-35))/3.
2688
Let h = 53203/32 + -3327/2. Calculate the common denominator of 79/168 and h.
672
Let p be (-6)/(-27) + (-191)/9. Calculate the smallest common multiple of 21 and ((-60)/p)/((-2)/(-7)).
210
Let s = 2828 - 2774. What is the smallest common multiple of s and 63?
378
Suppose -2*h + 44 = 4*x, -2*h + 0*x + 2*x + 44 = 0. Suppose 9*s - 8*s - 5*w + 15 = 0, -2*s - w = -25. Calculate the least common multiple of s and h.
110
What is the lowest common multiple of (779 - -2 - -5) + (-3)/3 and 1?
785
Calculate the common denominator of 31/46 and ((-4)/6 - (-14)/28)*1.
138
Let r = 1/9606 - -48563/6404. Suppose -15*m = -16*m + 3. What is the common denominator of ((-107)/m)/((-10)/3) and r?
60
Let u be (-3)/(-5) - (-2)/5. Find the common denominator of -53/22 and ((-1134)/(-224))/(u/(-1)).
176
Suppose w - 3*r - 8 = -0*r, -5*w = 4*r - 2. Suppose -w*m + j + 19 = 0, m + 2*j - 8 = 3*j. Calculate the least common multiple of 20 and m.
220
Suppose -c + 4*v = 360, c - 2*v + 1890 = -4*c. Let q be -6 - (-2 + 4 + -4). What is the common denominator of -87/10 and q/(-6)*3287/c?
30
Let q(s) = -s**2 - 11*s + 4. Let f be q(-11). Find the common denominator of -89/12 and f/(-18) - 2475/(-324).
12
Find the common denominator of -83/58 and (-14)/(-2) - (-29036)/(-4060).
290
Suppose -6*i + i + 25 = 3*t, t - 13 = 3*i. What is the least common multiple of t and 670?
670
Let v = 118889/12 + -9913. Find the common denominator of v and 51/446.
2676
Let f = -1/5172 + 168101/56892. Let y be 526/(-3) + (9 - 9). Let n = 2179/12 + y. Calculate the common denominator of f and n.
44
Suppose 10*t - 577 = 6*t + 5*x, 3*x + 146 = t. What is the lowest common multiple of 117 and t?
1287
Suppose -3*i + 9 = 2*a, 5*a + 13 = 4*i + 1. Suppose a = -t + 21 + 9. Calculate the lowest common multiple of 10 and t.
30
Suppose -2*x + 70 = 4*g, 5*g - 71 = -0*g + 3*x. Suppose 0*b - g = -b + 3*a, 2*b + 5*a - 32 = 0. What is the lowest common multiple of 14 and b?
112
Let i = -365285/63126 + 4/4509. Suppose -d - 656 = -3*d. What is the common denominator of 2/(-3) + d/(-16) and i?
42
Let r(w) = w**2 - 9*w - 34. What is the smallest common multiple of r(-3) and 65?
130
Let t be 8135*((-60)/117)/(-4). Let s = -1043 + t. Let u = s - 1205/78. What is the common denominator of -51/2 and u?
2
Let i be 2/(-4) - (7 - (-6516)/(-520)). Let o = 10/13 + i. Calculate the common denominator of 57/20 and o.
20
Let b(w) = -2*w + 10. Let h be b(8). Let y be 4*25*h/(-106). Let j = y + -4291/318. What is the common denominator of 43/8 and j?
24
Let r be (-25667)/(-68)*599/(-8). Let g = -28262 - r. Let b = -6387/544 - g. Calculate the common denominator of 67/16 and b.
16
Let h = -5099/684 - 33/76. Suppose 3*f - 3*y + 83 = y, -3*f + 5*y = 88. Find the common denominator of (-5 + (-285)/f)*(-2)/3 and h.
63
Let h = 235 - 223. Calculate the least common multiple of h and 258.
516
Let w = 1355/