 remainder when 342 is divided by j?
6
Let t = 47 - 27. Suppose -31725 - 41349 = -1185*n + 1581. Calculate the remainder when n is divided by t.
3
Let b(f) = -6*f**2 - 76*f - 102. What is the remainder when 8004 is divided by b(-11)?
4
Suppose -4*j = -4*u + 60, 14 = 4*u + j - 31. Let a(o) = -3*o**2 + 4*o - 1. Let g be a(-3). Let h = g + 122. What is the remainder when h is divided by u?
10
Let n(d) = d**2 - 9*d + 4. Let g be n(22). Let v = g + -222. What is the remainder when v is divided by 5?
3
What is the remainder when 2000 is divided by 31920/175 - (2 + (-39)/15)?
170
Suppose -484*g + 252*g + 250*g - 846 = 0. Suppose 5*r - 606 = 319. What is the remainder when r is divided by g?
44
Let h(a) = 2*a + 219. Let b be (8 + -1)*138/21. Calculate the remainder when h(b) is divided by 8.
7
Let c(r) = -r**3 + 7*r**2 + 82*r - 503. Calculate the remainder when 3347 is divided by c(10).
15
Let r = -6285 - -6878. What is the remainder when r is divided by 46?
41
Let b = -39 - -73. Let a be 1 + b/6 - (-2)/6. Suppose -18 = 4*m - a*m. What is the remainder when 8 is divided by m?
2
Suppose 6*o - 251 = -3*f + 4*o, 3*o = -5*f + 418. Let s = 107 - f. Calculate the remainder when s is divided by 14.
10
Let z = 1096 - 1001. Calculate the remainder when z is divided by (-5 + -30)*4/(-10).
11
Let l(q) = 47*q + 3754. Calculate the remainder when l(30) is divided by 9.
7
Suppose 0 = -153*n + 145*n. Let t(y) = y**3 - 2*y**2 - y + 284. Calculate the remainder when t(n) is divided by 19.
18
Calculate the remainder when 142 is divided by 1755/(-345) + 5 + 6122/46.
9
Let m = 26900 - 26852. Calculate the remainder when 2562 is divided by m.
18
What is the remainder when (-224)/(-2)*(-2 + -1)*(-985)/591 is divided by 57?
47
Let r be 16 - -2 - (-12)/(-4). Suppose -17*n + r*n + 60 = 0. What is the remainder when n is divided by 4/(-6) + 70/6?
8
Calculate the remainder when 2485 is divided by 8/(-10)*2*(10 + 100/(-8)).
1
Calculate the remainder when 657 is divided by 1/(-3)*108/7*(-826)/177.
9
Let l(j) = 168*j - 187*j + 431 - 102. What is the remainder when l(14) is divided by 33?
30
Suppose -5*x - 8 = -33. Suppose -3*n - 735 = -3*f, 4*n - 6*n - 1219 = -x*f. Calculate the remainder when f is divided by 35.
33
Let y = -112 + 114. Suppose 0 = 4*f - 190 - 94. Calculate the remainder when f is divided by (21 - (-5 + y))/1.
23
Suppose 2*s = 2*n + 294, -2*s + 1421*n + 285 = 1418*n. What is the remainder when 925 is divided by s?
145
Let s = -280 - -295. Suppose -3 = -5*a + 17. Suppose -9 = -a*x + 35. What is the remainder when s is divided by x?
4
Let w(r) = r**3 - 7*r**2 + 2*r - 65. Calculate the remainder when 1913 is divided by w(8).
8
Let w(y) = -y**3 + y**2 + 15. Suppose 6 = -u - 4*a - 2, 2 = 4*u - a. What is the remainder when 44 is divided by w(u)?
14
Let x(n) be the first derivative of n**3/3 + 21*n**2/2 - 96*n - 172. What is the remainder when 643 is divided by x(-26)?
31
Let d = -2491 + 2952. What is the remainder when d is divided by 37?
17
Suppose -20 - 52 = -6*q. Suppose 211 = d - 3*d + c, 0 = 2*d + 5*c + 193. Let t = d - -109. Calculate the remainder when q is divided by t.
2
Let k(d) = -16*d**2 - 71 + 79 + 23*d**2. What is the remainder when 34 is divided by k(0)?
2
Let m(o) = o**3 + 53*o**2 - 164*o + 255. Suppose -2*h + 9 = -23. What is the remainder when m(-56) is divided by h?
15
Let x(i) = -i + 8. Suppose -8*p - 8 = -10*p. Suppose -5*s - 45 + 15 = -5*c, -p*s - 5*c = 15. Calculate the remainder when 89 is divided by x(s).
11
Let z(r) = -5*r + 17. Let a be z(3). What is the remainder when 154 is divided by 156/a*13/26?
37
Let q = -669 + 845. Calculate the remainder when 553 is divided by q.
25
Suppose -4*s = q - 12, 4*q = -s - 69 + 132. What is the remainder when 6/8 + (-1470)/(-24) is divided by q?
14
Suppose -194*n = -198*n - 3*c + 407, 4*n - c = 419. Calculate the remainder when 946 is divided by n.
10
Let l = 5083 + -4670. What is the remainder when l is divided by 11?
6
Suppose 328*l + 106 = 4*a + 326*l, 3*a + l = 77. What is the remainder when a is divided by 12?
2
Suppose 30*z = 133*z - 559429 + 181522. What is the remainder when z is divided by 46?
35
Let f(z) = 79*z + 5916. Calculate the remainder when 591 is divided by f(-73).
144
Let o(z) = -14*z + 1492. Let s(b) = -b**3 + 9*b**2 - 11*b + 4. Suppose j - 32 = 5*k, 0*j + 5*k + 18 = -j. Calculate the remainder when o(98) is divided by s(j).
20
What is the remainder when (3*(-65)/(-4))/((-54)/(-2520)) is divided by 11?
9
What is the remainder when 12075/147 + (-9)/63 is divided by 8?
2
Let u(a) be the second derivative of -13*a**3/6 - 11*a**2 - a + 5. Let y be u(-14). Suppose -h - y = -6*h. Calculate the remainder when h is divided by 6.
2
Let z = -2745 + 2830. Calculate the remainder when 293 is divided by z.
38
Let d = -31 + 35. Suppose z - 3*z + 4*m = 78, -150 = d*z - 5*m. Let v = -16 - z. What is the remainder when 37 is divided by v?
18
Suppose 803*a - 40559 = 693*a + 17411. What is the remainder when a is divided by 43?
11
Suppose 3*x = 9 + 51. Suppose -x + 0 = -5*b. Calculate the remainder when 9 is divided by b/((10/15)/1).
3
Let l = -76320 + 76361. Let w = 204 + -89. What is the remainder when w is divided by l?
33
Let o = -41 + 71. Suppose -l + 3*l = o. Calculate the remainder when l is divided by (-13)/((-26)/(-12)) - (-52 - -42).
3
Suppose -26*r + 164 = -25*r + 3*m, r - 5*m - 108 = 0. Calculate the remainder when 706 is divided by r.
134
Let w be 71*-1*(-4 + 2 + -9). Suppose 0 = -10*q + w + 9. Let x = -5 + 26. Calculate the remainder when q is divided by x.
16
Suppose 2*p - 28 = -5*h, -2*p = -3*h - 5*p + 24. Suppose 0 = -h*j + 162 - 2. What is the remainder when 79 is divided by j?
39
Let t(j) = -35*j**2 - 5*j + 7. Let a be t(4). Let l = 635 + a. Calculate the remainder when l is divided by 7.
6
Suppose 6 - 26 = 5*k, -3*k + 38 = -2*r. Let g = 73 - r. Calculate the remainder when g is divided by 50.
48
Suppose 1786 + 14334 = 190*q + 58*q. What is the remainder when 5069 is divided by q?
64
Let f(l) = 5*l**2 - 188*l + 101. Calculate the remainder when 1232 is divided by f(38).
170
What is the remainder when -17 + 0 + 39 - -2887 is divided by 52?
49
Suppose 0 = -2*r, -2*w = -3*r + 3 - 11. Suppose 277 = w*n + o, -5*o - 179 = -2*n - 46. Calculate the remainder when n is divided by 19.
12
Let g(y) = -y**3 + 7*y**2 - 2*y - 13. Let j = 33 - 27. What is the remainder when 4/(-3) + (-1456)/(-39) is divided by g(j)?
3
Suppose 61*r = 2*q + 63*r + 10, q - r = 9. What is the remainder when 299 is divided by q?
1
Let q(m) = 161*m**2 + 2*m + 1. Let h be (0 - 1 - -4)/(12/28). Calculate the remainder when q(-1) is divided by 128/h - 2/7.
16
Let o(a) = 3*a + 21. Let t(j) be the third derivative of j**4/24 - 2*j**3/3 - 9*j**2. Let u be t(4). Calculate the remainder when 82 is divided by o(u).
19
Suppose -31*c + 3296 = 2194 - 3300. Let p(l) = l**2 + 4*l - 3. Calculate the remainder when c is divided by p(-8).
26
Let r(q) = q - 8. Let g be r(11). Suppose g*o = -3*t - 960, -4*o = -t + 77 + 1203. What is the remainder when 46 is divided by 3/2*o/(-30)?
14
Let d(o) = o**3 - 75*o**2 + 356*o + 38. Calculate the remainder when d(70) is divided by 41.
7
Let l(z) = z**3 + 8*z + 82. Let g = 111 - 83. What is the remainder when l(0) is divided by g?
26
Let x = 4579 + -4556. Let p(s) = -10*s**3 + 2*s**2 + s - 2. What is the remainder when p(-2) is divided by x?
15
Let v(w) be the second derivative of w**3/6 + 27*w**2/2 + 89*w. Let b = -185 + 343. Calculate the remainder when b is divided by v(-4).
20
Suppose 0*w - 4*w + 5*v + 36 = 0, -6*w + 3*v = -72. What is the remainder when 1217 is divided by w?
13
Suppose 976 = 2*n + 14*n. What is the remainder when n is divided by -4*-16*(-3)/(-6)?
29
Let n = 54 - 28. Let b(u) = -u**2 + 52*u + 2693. What is the remainder when n is divided by b(-32)?
1
Let c = 5 - -3. Let a(k) = 9*k + 11. What is the remainder when a(c) is divided by (-28)/(-10*(-6)/90*-2)?
20
Let k(r) = 2*r**2 + 6*r + 5. Let u(t) = t**3 + 2*t**2 + 6. Let p be u(-3). Let z be k(p). Let n(j) = -j + 15. What is the remainder when 39 is divided by n(z)?
9
Let v(b) = 171*b - 496. Let f(j) = -58*j + 165. Let r(m) = -7*f(m) - 2*v(m). Calculate the remainder when r(7) is divided by 72.
69
Suppose -4*z = -3*p + 7 + 16, 4*z +