190
Suppose -641 = 2*q + 5*m - 2501, 4*m - 8481 = -9*q. Calculate the least common multiple of 115 and q.
21735
Let v(b) = -7*b - 14. Let y be v(-8). Let w be (-12)/y - (-940642)/(-115514). Let k = -2/8251 - w. Calculate the common denominator of k and -47/2.
14
Suppose 2*a - 7*x + 3 = -10*x, x = 2*a - 17. What is the least common multiple of 3051 and a?
6102
Let j = 8028 - 7792. What is the lowest common multiple of j and 22?
2596
Let y = -623/13 - -61703/1287. What is the common denominator of y and -32/495?
495
Let l(u) = u**3 - 11*u**2 + 8*u - 7. Let h be l(8). Let k = 211 + h. Calculate the least common multiple of k and 52.
988
Suppose -1944 = -4*q + 3*q. Let b = 15605/8 - q. Let u = -9/119 - -9419/238. Find the common denominator of b and u.
8
Let w(p) = 1. Let s(o) = -o**2 + 11*o - 21. Let k(h) = s(h) + w(h). Calculate the smallest common multiple of k(6) and 11.
110
Let g(h) = h - 165. Let v be g(10). Let i = -67 - v. What is the lowest common multiple of 55 and i?
440
Let p = -20833/6 - -3451. Find the common denominator of p and 6/5 - (-4316)/(-5200).
300
What is the common denominator of -47/1512 and (-2180)/(-26705)*10*(-10)/(-2592)?
31752
Let r = 941989/50 + -371352/25. Let z = r + -3992. Calculate the common denominator of -91/40 and z.
40
Calculate the least common multiple of 24/(9/15*90/36) and -28*(-3)/15 - (-22)/55.
48
Let a = -1/301265 - 6687991/27716380. Find the common denominator of 191/660 and a.
15180
Let s = 17752 + -372863/21. Find the common denominator of s and ((-30)/28 + -3)/((-18)/8).
21
Let q be (-4)/(-46) + -4 + 994/(-322). Let a be 4/(-2) + -6 + 0. Calculate the common denominator of 41/9 and (-2)/a - q/((-784)/(-340)).
63
Suppose -9173 = -65*z - 398. What is the least common multiple of 165 and z?
1485
Let g(j) = j**3 + 7*j**2 - 17*j - 20. Let s be g(-9). Find the common denominator of 4/(-120)*s - 3 and -22/35.
210
Let s = 2113 - 6268/3. Calculate the common denominator of s and (-852)/(-108) + 1 + -3.
9
Calculate the common denominator of (119 + (-4932)/45)*(-2)/(6/(-5)) and (20/(-34))/(6/(-16)).
51
Let k be (4/770)/(196/2003365). Let o = -393/7 + k. Find the common denominator of -129/110 and o.
110
Let b be 2/11 - 260/(-143). Suppose 2*a + 271 = -c, b*c = 2 - 8. What is the common denominator of ((-11)/(-396))/((-1)/a) and 70/9?
18
Let b = 42 - 0. Let q = b + -39. Calculate the lowest common multiple of (4/(-5))/(q/(-15)) and 11.
44
Suppose a - 47 = -20. What is the smallest common multiple of 76 and -15*(-9)/a + 0?
380
Let n be (3/(-1237))/((-12)/16). Let c be 6014965/(-4000458) - 8/(-6). Let o = n - c. Find the common denominator of o and 15/16.
784
Calculate the common denominator of (5/(22 + 3))/(6*14/530) and -91/276.
1932
Let o = -32327/6 + 5333. Let d = 1289/24 + o. What is the common denominator of -127/54 and d?
216
Suppose -64*c - 566189484 = -61*c. Let r = -823239530815/4362 - c. Let n = r - 2/2181. Calculate the common denominator of -97/70 and n.
210
What is the least common multiple of 38 and (-11184)/(-9320)*((-454)/(-6) - -1)?
1748
Let b be 412441 + (-4 + 2 - -7). Let v = b + -1666641/4. Let o = 4194 + v. Calculate the common denominator of o and -73/12.
12
Calculate the smallest common multiple of 90 and ((-8)/26)/(144/(-312))*(0 - -27).
90
Let t be 3621/340*21070/(-36). Let d = -6237 - t. Calculate the common denominator of d and -59/96.
96
What is the common denominator of (1/(-18))/(((-20)/294)/(-5)) and 3 - 8 - 698/(-112)?
168
Let h(j) = -7*j + 97. Let o be h(12). Find the common denominator of -27/4 and o/(-1)*(6/66 - 0).
44
Let x be (46/(-3))/((-22)/6). Let t be (6/(1056/379))/(8 + 119/(-14)). Let w = t + x. Calculate the common denominator of w and 17/8.
8
Let l = 242 - 247. Find the common denominator of 59/116 and (-25)/l - (-188)/(-56).
812
Let h = -33356/86811 - -318/1523. Calculate the common denominator of h and (-28)/(-90)*42/4.
285
Let p be 1/(-4) + 11005015/(-140). Let o = p - -15957363/203. What is the common denominator of 53/10 and o?
2030
Suppose 5*j - 2*u = -5, -11743*u + 11744*u = j + 4. Let t = -28 - -89. Calculate the smallest common multiple of t and j.
61
Let b = -185641/445785 - -2/3945. Let k = 18502/2373 + b. Let o = k + -27/28. What is the common denominator of o and -81/8?
24
Let b be ((-24782)/6 + -1)/(586/(-879)). Let q = 1548884251/249820 + 612/12491. Let a = b - q. Find the common denominator of 73/86 and a.
860
Suppose -243 = 4*x + 3*n, 0 = 10*x - 6*x + 2*n + 242. Let q = 9 + -6. Calculate the common denominator of -59/32 and 2/(q - 2) + x/176.
352
What is the least common multiple of (-30305)/(-66) + 21/(-126) and 612?
1836
Suppose 0 = 22*l - 37*l + 38*l - 1334. What is the smallest common multiple of l and 118?
3422
Let d = -228 - -310. Suppose -4*h = -5*j + d, -3*h + 61 + 35 = 5*j. What is the least common multiple of 66 and j?
198
Let q = 13 + -28. Let z(b) = 31*b + 61. Let y(k) = -9*k - 20. Let n(p) = -7*y(p) - 2*z(p). Calculate the least common multiple of 9 and n(q).
9
Let t = -3813 - -3823. Suppose -16*r + 12*r = -200. What is the lowest common multiple of t and r?
50
Let g = 81 - 76. Suppose -g*y = -k - 0*k + 14688, -2*y + 14688 = k. Let m = k - 308386/21. Find the common denominator of 113/24 and m.
168
Calculate the smallest common multiple of 2467/10 + 3 + (-54)/20 and 52.
988
Let y = -52981/33994 - 21/739. What is the common denominator of y and -91/184?
184
Suppose -3*a = -12, -2*i + 4*i + 30 = 5*a. Let p be (6 + i)*1/1 - 3. What is the common denominator of 4/(1056/(-222)) - (1 + p) and -61/16?
176
Suppose 0 = -5*i - 5, 47*i - 45*i + 26 = 4*t. What is the lowest common multiple of 769 and t?
4614
Let a be (-7)/(-3) - 2/(-3). Suppose -i + 5*i - 5*q = 40, -2*i - a*q = 2. What is the lowest common multiple of (-59416)/15120*-15 + (-1)/(-18) and i?
295
Let k = 41021/306488 + -385/1684. Calculate the common denominator of k and 38/273.
2184
Let i(s) be the first derivative of -s**4 - 10*s**3 + 7*s**2 - 6*s - 135. Calculate the lowest common multiple of i(-8) and 102.
510
Let b(z) = 87*z. Let v be b(8). What is the common denominator of ((-30)/(-8) - 4)*v/(-21) and -29/120?
840
What is the common denominator of 53/22 and ((-2)/904)/(332/33 - 10)?
9944
Let l(b) = b**2 - 9*b + 6. Let w be l(8). Calculate the common denominator of (-6)/((-108)/253) + w/9 and (-165)/(-12) - (-2)/4.
12
Let i(j) = j**3 + 18*j**2 - 40*j + 24. Let r be i(-20). Find the common denominator of (-1034)/288 - 2/9 and ((-5)/(-4) - (-3)/r)*-1.
16
Let h = 105 + 3. Let a = -102 + h. What is the smallest common multiple of 12 and a?
12
What is the common denominator of -99/196 and (-4)/(-168)*(3 - 664/48)?
1764
Let b = 259129/5586 + -879/19. What is the common denominator of b and 43/83?
24402
What is the lowest common multiple of 5 and (-262)/(-14) - (-1 + 13 - (-172)/(-14))?
95
Suppose 23*y - 217 = -22*y + 14*y. Calculate the smallest common multiple of y and 154.
154
Suppose 0 = -480*k + 13822 - 5182. Calculate the least common multiple of k and 21564.
21564
Let m = 1147/40 + -175/8. Let t(j) = 51*j**2 - 9*j + 5. Calculate the common denominator of m and t(1).
5
What is the least common multiple of 3/(-12)*1 - 63779/(-92) and 70?
6930
Suppose 4071*f = 4090*f - 12236. What is the least common multiple of f and 168?
3864
Let v = 81 - 37. Suppose -2*f = 3*o - 367, -o + 4*f + 77 = -36. Calculate the least common multiple of v and o.
484
Let n be 166/11*(-12)/(-540)*-5. Let k = -205/33 + n. Find the common denominator of -31/18 and k.
18
Let n = 215 - 69. Let j(z) = z**3 - 6*z**2 + 11*z - 60. Calculate the smallest common multiple of n/8 - (-5)/(-20) and j(6).
18
Let a = -5206 + 5961. Calculate the lowest common multiple of a and 151.
755
Let o(v) = 3684*v + 33200. Let h(z) = z**3 - 6*z**2 + 2*z - 1. What is the least common multiple of h(6) and o(-9)?
44
Let o = -175187/12 - -14604. Calculate the common denominator of 71/24 and o.
24
Suppose -2*g - 16 = -4. Let r be (-20575)/g - 10/40. Let c = r + -3437. Find the common denominator of c and -31/64.
192
Suppose -41 = -5*w + 9. Suppose c + 834 = w. Calculate the common denominator of c/432*6/2 and -17/10.
90
Let o be ((-54)/(-36))/((-1 - -2)/(-6)). Let x be -1*(1 + 0) - (-5235)/o. Let g = x + 577. What is the common denomina