nator of q and j.
209
Suppose -5*t = -2*s - 250, 4*s + 20 = -0*s. Let i = -863/1008 + -13/63. Calculate the common denominator of i and t.
16
Let v(y) = -y**3 + 2*y - 7. Let b be v(3). Let w = b - -45. Suppose -13*a - 16 = -w*a. What is the least common multiple of 20 and a?
20
Let c = 148 + -136. Calculate the common denominator of 131/18 and 5 - (102/c + -5).
18
What is the common denominator of 9/782 and 129/21*(-14)/12?
2346
Let q be 2 - (179 - (2 - 1)). Let u = -2897/114 - -714/19. Find the common denominator of u and 180/q + (2 - -1).
132
Let l(u) = u**3 + u**2 + 21*u + 87. Let c be l(-16). Let x be ((-54)/(-40))/((-2)/(-6045)). Let s = x + c. Calculate the common denominator of 97/2 and s.
8
Let b(s) = -251*s - 2. Let x be b(-7). Let u be (80/(-24))/(-10)*221679/42. Let m = u - x. What is the common denominator of 51/44 and m?
308
Let o = -29 + 61. Suppose -5*d + 5*i + 90 = 0, 0 = -2*d - 3*i + 847 - 781. What is the lowest common multiple of d and o?
96
Let i = 114034405/714 + -159712. What is the common denominator of i and 1/42?
714
Suppose w - 22 = -0*w + 3*l, -2*w = -2*l - 36. What is the lowest common multiple of (-2)/(-3)*174 + 3574 + -3544 and w?
1168
Let n be ((-6)/(-87))/(4428/(-2181) - -2). Let l = -132/29 - n. Find the common denominator of -1/12 and l.
132
Let d = 84323 - 84311. Calculate the least common multiple of d and (30 - (0 + 0))*2.
60
Suppose 12*y + 6 = 18. Let z(m) = 23*m - 11. What is the lowest common multiple of 20 and z(y)?
60
Suppose -4*t + 2*t - 510 = 0. Let a(b) = -24*b**2 - 70*b. Let n be a(-3). Calculate the common denominator of (t/440)/(n/4) and -95/16.
176
Let b = 72468 + -31088828/429. What is the common denominator of 29/663 and b?
7293
Let n(z) = 61*z**3 - 9*z**2 + 7*z - 5. Calculate the lowest common multiple of 10 and n(2).
4610
Calculate the common denominator of 103/3*9/(-30) and (-6657)/(-405) + (-612)/36.
270
Let y be 22 - (9/(-3) - (-20)/4). Find the common denominator of (-120)/y + 18/(-8) and (-107)/22*1/(-2).
44
Suppose 2*r + m - 94 = 0, -17*r + 15*r + 5*m = -118. Let x = 407/10 - r. Calculate the common denominator of 34/7 and x.
70
Let j(m) be the second derivative of -m**5/20 - 3*m**4/2 - 6*m**3 + m**2 + m - 19. What is the lowest common multiple of j(-16) and 66?
66
Let s be (-3 - (-59068)/(-7568)) + 2. Let o = -362/43 - s. Let g = -36535/12 + 3034. Calculate the common denominator of o and g.
132
Let y = 12176 + -11861. What is the least common multiple of y and 560?
5040
Suppose 3*k + 2 = 35. Suppose -3*m - 10 = a - 0*m, -4*a + k = -5*m. What is the lowest common multiple of 6*(a + 4 + -2) and 8?
24
Suppose -10072 + 1672 = 25*h. Let r = 365 + h. What is the lowest common multiple of 1 and r?
29
What is the common denominator of 31/164 and 8/54*(18278/608 - 19)?
1476
Suppose -4*f + 3*b - 370 = 0, -19*b - 10 = -14*b. Let r = 103 + f. Calculate the smallest common multiple of 54 and r.
54
Suppose -f - 30*n + 25*n + 10 = 0, 3*f + 2*n = -22. Let j(x) = x**2 + 12*x + 23. Calculate the smallest common multiple of j(f) and 6.
6
Suppose 4*o - 6*o + 4*t + 16 = 0, -4 = 2*t. Suppose -20 - o = 8*u. What is the least common multiple of 11 and (u + 2)*0 + 14?
154
Let z(v) = v**3 + 3*v**2 - 2*v + 2. Suppose 5*k - 4*m - 178 = 0, 5*m = k - 0*m - 23. Let s = k + -30. Calculate the least common multiple of s and z(-3).
8
Let v(t) = 62*t + 60. Let f be v(0). Suppose -5*y + f = -y + 4*k, -2*k - 20 = -3*y. Calculate the least common multiple of 22 and y.
110
Suppose -68 = 4*p - 340. Find the common denominator of 62/27 and (40/p)/(-5)*22/12.
459
Calculate the common denominator of 47/33 and 9/99 - (-26)/(-1254).
627
Suppose 10*s - 8*s = -4. Calculate the common denominator of 1/(-9)*(3 + (-20)/5) and (1/12)/(s*(-2)/584).
18
Suppose 0*k = k - 2. Calculate the smallest common multiple of (-34)/170 + 4563/(-468)*8/(-15) and k.
10
Let d be (156/(-65))/(1/(-5)). Suppose 0 = -17*n + d*n - 120. Let q = -13 - n. Calculate the lowest common multiple of q and 9.
99
Let m = -31 + 39. Suppose -8*k - 1279 + 219 = -61*k. What is the lowest common multiple of m and k?
40
Suppose 0 = 9*p - 1377 + 6894. Let q = p - -637. Calculate the least common multiple of 111 and q.
888
Let s = 16212 - 14532. Calculate the smallest common multiple of s and 120.
1680
Let f(c) be the first derivative of -c**2/2 + 14*c - 36. Let r be f(-14). Suppose r*u = 22*u + 168. Calculate the smallest common multiple of 28 and u.
28
Suppose -40*b + 4*b = -10*b - 1872. Calculate the lowest common multiple of 22 and b.
792
Let u(c) = 11*c**2 + 1. Let d = -2495 - -2513. Calculate the least common multiple of d and u(1).
36
Let l(a) = a**2 + 27*a + 62. Let h be l(-18). Calculate the common denominator of 83/21 and h/175 + 683/105.
105
Let v = 67428 + -8091457/120. What is the common denominator of v and (3 - (-724)/(-144)) + 1?
360
Let b(n) = 2*n**2 + 8*n - 10. Let i be b(-7). Let l = 32 - i. Calculate the least common multiple of 13 + (-5 - l) + 2 and 11.
110
Let l(h) = -h**3 + 2*h**2 - 4. Let k be l(-3). Let n = k - 61. Calculate the smallest common multiple of 4/5 + (1 - (-16)/n) and 1.
1
Let o(s) = s**3 - s**2 - s - 8. Let p(j) = -j**2 + 11*j + 12. Let h be p(12). Suppose h = 7*d - 4*d - 15. Calculate the lowest common multiple of o(4) and d.
180
Suppose 622 = -5*h + 42. Let j = -67 - h. What is the lowest common multiple of 77 and j?
539
Let m = -13390831/120 - -111591. Calculate the common denominator of m and -53/504.
2520
Let c be 27 + (2 - 1)/1. Find the common denominator of ((-4)/24)/(28/(-348)) and 347/(-30) - c/(-42).
70
Suppose -14 = -3*x - 32. What is the common denominator of 2 + -2 - 188/80 and (-3 - x/(-3)) + 153/(-12)?
20
Find the common denominator of -181/30 and 6773/(-1125) + (-564)/(-94).
2250
Let z = -31 - -39. Let u be z - (-8 + 4)*(-2)/(-4). Calculate the common denominator of (-47)/u - (-1 - -4) and -81/10.
10
Let f = 9997 + -30532/3. Let r be (-4)/20 + (-59689)/330. Let g = f - r. Find the common denominator of g and 50/27.
594
Let z = 5/4488 + -159389/58344. Find the common denominator of 101/130 and z.
130
Let q(u) = 56*u**2 - 438*u - 35. What is the smallest common multiple of 9 and q(9)?
5031
Let u be (-220934)/782115 - (0 + (-9)/15). Let q = u + 3/2267. Let b = -37375/36 + 9250/9. What is the common denominator of b and q?
276
Let t = 637 - 8877/14. Find the common denominator of 65/4296 and t.
30072
Let a = -3328/11 + 41113/132. Let j = -688857/38 - -18129. Find the common denominator of j and a.
228
Let q = -39/218027 + -18196751057/2180270. Let m = q - -8356. Find the common denominator of m and -145*4/12*(-6)/36.
90
Suppose -304 - 5636 = -11*v. Let l = v - 500. Calculate the lowest common multiple of l and 24.
120
Suppose 0 = 4*o + 3*b - 18, -30 = o - 5*b - 23. Calculate the common denominator of (2 - (-852)/(-336))/(o/(-34)) and ((-26)/6)/(44/6).
154
Let o = -80934676841/13110 - -6173507. Calculate the common denominator of o and -76/33.
144210
Calculate the common denominator of -7*(-191)/(-3660) - 253/(-1265) and 47/132.
8052
Let n(t) = -t**3 + 3*t**2 + 5*t - 3. Suppose 0*p - h - 92 = 4*p, 5*h = 0. Let u = 28 + p. Calculate the smallest common multiple of n(4) and u.
5
Suppose 27 = -5*o + 7. Let q be (-9752)/(-73290) + o/30. Let b = q + 173465/43974. Calculate the common denominator of -25/2 and b.
18
Suppose 6*g - 284 = 112. Suppose f + 3 = 0, 6*r = 4*r - 5*f + 183. Calculate the lowest common multiple of g and r.
198
Let f(s) = -2*s. Let i(h) = h**3 + 10*h**2 + 6*h + 71. Suppose 63*c - 25*c + 380 = 0. What is the lowest common multiple of f(-6) and i(c)?
132
Suppose 221*i = 214*i + 462. What is the lowest common multiple of 102 and i?
1122
Let g = 4692 - 4260. Calculate the least common multiple of 56 and g.
3024
Let m = -37566599/423 + 88810. What is the common denominator of m and 34/705?
2115
Suppose 0 = -5*i + 118 + 87. Calculate the common denominator of (-108)/192*76/(-21) and 4 + 0 + i/10*-3.
140
Let x = 0 + 101. Suppose 0 = -765*a + 760*a - 210. Calculate the common denominator of -51/5 and (a/(-28))/(6/x).
20
Suppose 0 = -7*n - 6*n + 1560. Let w be n/(((-14)/105)/((-8)/(-10))). Calculate the least common multiple of 18 and 2/(-11) - w/88.
72
Suppose -2*h - 226 = -5*f, 0*f + 4*h = 5*f - 222. Let a be 