e remainder when n is divided by 86.
81
Let p = 1108 + 743. What is the remainder when p is divided by 132?
3
Suppose -7*a + 47 = 19. Suppose -a*y = -3*y. Suppose -2*r - 2*r + 46 = 3*w, y = r - 2*w - 6. Calculate the remainder when 25 is divided by r.
5
Let m(i) = 2*i - 7. Let p be m(5). Suppose 1 = u, -2*u = p*h + u - 36. Suppose -h + 143 = 3*x. What is the remainder when x is divided by 23?
21
Suppose 5*h = 3*g - 115, 5 = -5*h + 25. Calculate the remainder when g is divided by (4/((-144)/(-28)))/(1/3*-1)*-3.
3
Let w be (365/2)/(-8 + 60/8). Let c = -347 - w. Calculate the remainder when 231 is divided by c.
15
Suppose -3*l = l - 84. Suppose 0 = -4*h - k + 21, -7*h - 2*k = -8*h + 3. Suppose h*t + 162 = 347. What is the remainder when t is divided by l?
16
Suppose o + 24 = -2*o. Let u(i) = 2*i**3 - 7*i**2 + 8*i + 9. Let m be u(4). Let n = m - o. Calculate the remainder when n is divided by 35.
30
Let s be 1/(-3) + 146/6. Let q be 14*((-18)/(-12) - 3/48*8). Suppose r - s = q. What is the remainder when r is divided by 13?
12
Let a(y) = -19*y**3 + 2*y + 1. Let p(q) = q**3 - 53*q**2 - 1949*q + 8. Calculate the remainder when p(78) is divided by a(-1).
14
Let r be (-1 - 11)/(-3) - 2. Suppose -56 = -3*a + x + x, r*a = -3*x + 33. Calculate the remainder when ((6/4)/1)/(66/(-23320)*-10) is divided by a.
17
Let n(a) = a**2 - 3*a + a**3 + 2 - 6 + 8. Let u = 65 - 63. Calculate the remainder when 26 is divided by n(u).
6
What is the remainder when (1494/12 - 3)*300/18 is divided by 35?
30
Calculate the remainder when (2643/4)/((-795)/(-13780)) is divided by 57.
53
Let m(q) = -115*q + 361. Calculate the remainder when 52 is divided by m(3).
4
Let d(r) = r**2 - 4*r + 6. Calculate the remainder when d(-8) is divided by (-8)/(1512/(-2277)) - 12 - (-1846)/42.
14
Suppose v - 47 = -m, 0*v - m - 161 = -3*v. Let o(w) = -2*w + 6. Calculate the remainder when (-1 - 4) + -6*v/(-8) is divided by o(-6).
16
Suppose -4*z - 240*x = -243*x - 542, 4*z - 4*x - 540 = 0. Calculate the remainder when z is divided by (-8 + (-2)/(-2))*(0 + -2).
11
Let c = -1153 + 2787. Calculate the remainder when c is divided by 78.
74
Let a(g) = -124*g - 2691. What is the remainder when 477 is divided by a(-22)?
33
Let h(m) = -7*m - 5. Let w be (-101)/(-4) - (-9)/(-36). Suppose -3*l - d = -w, -2*l = l - 4*d - 50. What is the remainder when l is divided by h(-1)?
0
Suppose -2*q + 18*q - 264 = 10*q. Calculate the remainder when 5103 is divided by q.
43
Let r(w) = -w**2 - 17*w - 7. Let i be (-66)/(-14) + (-2)/(-7). Calculate the remainder when (-3496)/(-40) + (-2)/i is divided by r(-16).
6
Suppose 160*q - 21*q - 547 = 2789. What is the remainder when 190 is divided by q?
22
Suppose 5*a - 5*u - 70 = 0, 0 = 4*a + 2*u - 2426 + 2346. Calculate the remainder when 1366 is divided by a.
16
Suppose 0 = -2*r + 5*t + 90, 2*r = -t - t + 104. Let y = 46 - r. What is the remainder when (1428/(-70))/(y/10) is divided by 29?
22
Let y(i) = -i**3 - 9*i**2 + 7*i + 24. Calculate the remainder when 430 is divided by y(-10).
52
Suppose 0*c + 4*n + 14 = 5*c, -4*n - 4 = 0. Calculate the remainder when 132/c - (-63)/21 is divided by 24.
21
Let s be -140 - 1 - (-11)/((-55)/10). Calculate the remainder when 1500/33 - 78/s is divided by (17/3)/(1/3).
12
Let t = -6849 - -7102. Calculate the remainder when t is divided by 46.
23
Let s = 7967 - 7952. Calculate the remainder when 2114 is divided by s.
14
Suppose -95*d + 6056 = -90*d + g, -2*g = 4*d - 4852. What is the remainder when 1224 is divided by d?
14
Suppose -79*s - 19170 = -214*s. What is the remainder when 275 is divided by s?
133
Let g = -26678 - -27711. What is the remainder when g is divided by 155?
103
Let r = -4057 - -4101. What is the remainder when 1572 is divided by r?
32
Let y(d) = -d**3 + 4*d**2 + d + 6. Let j = -4 + 4. Suppose 0 = -3*w - j + 12. Calculate the remainder when y(w) is divided by 6.
4
Let g = 6785 + -6730. What is the remainder when 3242 is divided by g?
52
Let n(d) = d**3 - 28*d**2 + 58*d - 145. What is the remainder when 899 is divided by n(26)?
8
Suppose 3*x + 26 = 113. Suppose -x*o - 375 = -34*o. What is the remainder when 147 is divided by o?
72
Let o(y) = y**2 + 2*y + 2. Let h(s) = 9*s**2 - 26. Let v be h(7). Let n = -315 + v. What is the remainder when n is divided by o(3)?
15
Suppose 5*d + 771 = 5*c + 2*d, 4*c - 4*d - 628 = 0. Calculate the remainder when 997 is divided by c.
97
Let o(r) = -r**2 - 14*r - 9. Let x be o(-13). Suppose -3 = x*m - m, d + m = 17. Let v = d - 7. Calculate the remainder when v is divided by 2.
1
Let r = 389 - 1310. Let p = -868 - r. What is the remainder when p is divided by 26?
1
Suppose 35*p - 34*p - 7 = 0. Suppose 4*u + 189 = p*u. Suppose 0 = -4*f - 15 + u. Calculate the remainder when 45 is divided by f.
9
Suppose -5*j + 103 = -37. Calculate the remainder when ((-32)/(-12))/8 + 32/3 is divided by (j/(-10))/(12/(-30)).
4
Suppose 0 = -272*i - 28517 + 166149. Calculate the remainder when i is divided by 505.
1
Suppose -18*n = -10*n. Suppose 5*l - 3*y = -4*y + 2, -4*l - 5*y + 10 = n. Suppose l*k - 63 = -3*k. Calculate the remainder when k is divided by 8.
5
Suppose 4*m - 87 = 181. Let u be -4*((-195)/12 + 2). Let q = m - u. What is the remainder when 26 is divided by q?
6
Let g(t) = -t**3 + 3*t**2 - t + 1. Let m be g(2). Let r = 386 - 372. Suppose c + r = m*c. What is the remainder when c is divided by 5?
2
Suppose -22 = -8*t + 2. Let w be 60/t*(-13)/4. Let v = 69 + w. Calculate the remainder when 14 is divided by v.
2
Let n be ((-5)/(-2))/((-4)/(-16)). Let h = -33 + n. Let t(d) = -5*d - 50. What is the remainder when t(h) is divided by 33?
32
Let b(j) = 4124*j + 3. Suppose 2*k + 1 = 2*r + 9, -4*r = 3*k - 5. Let t be b(r). Calculate the remainder when 187 is divided by t/(-195) + 4/(-30).
19
Let d = -9300 + 9439. Calculate the remainder when 958 is divided by d.
124
Suppose 0 = p + m - 77, -11*p - 3*m + 383 = -6*p. What is the remainder when 242 is divided by p?
14
Suppose -44273 + 3081 = -2*l - d, 3*d + 61824 = 3*l. Calculate the remainder when l is divided by 63.
62
Let k(f) = 2*f**3 + 14*f**2 - 15*f + 7. Calculate the remainder when 598 is divided by k(4).
0
Let n(f) = -9*f**3 - 2*f**2 + 7*f - 3. Suppose 0 = 5*i - h - 61, -6*i + 57 = -i + 3*h. Calculate the remainder when n(-3) is divided by i.
9
What is the remainder when 141 is divided by 11 + (-1545)/135 + (-148)/(-9)?
13
Suppose 0 = -h + 1 - 2. Suppose 228*v - 223*v + 7*o - 158 = 0, -3*o + 108 = 3*v. What is the remainder when v is divided by 1 - h - (-9 - 1)?
11
Let c = 944 + -923. What is the remainder when 998 is divided by c?
11
Let i(z) = z**2 - 93*z - 224. Calculate the remainder when i(98) is divided by 58.
34
Let a = 80 - 37. Let c = -35476 + 35609. What is the remainder when c is divided by a?
4
Suppose 53*p - 24 = 54*p. Let c(i) = i**3 + 22*i**2 - 53*i - 50. Calculate the remainder when c(p) is divided by 36.
34
Let i(f) = f**2 + 86*f + 1878. Calculate the remainder when 217 is divided by i(-49).
22
What is the remainder when 2340 is divided by (3 + -4 - -11) + (-14762)/(-122)?
113
Let m = -4492 + 4609. What is the remainder when 482 is divided by m?
14
Let j = 6 + -4. Let m(f) = f**3 + 9*f**2 - 18*f - 3. Let z be m(4). Let h = z - j. Calculate the remainder when h is divided by 44.
43
Let y be (-3)/30 - (-3420)/200. Let d(c) = 16*c + 328. What is the remainder when d(y) is divided by 67?
64
Suppose 65*x + 6*x - 4460 = -1407. What is the remainder when 158 is divided by x?
29
Suppose 42 = -48*n + 55*n. Let x(j) = 4*j**3 - 25*j**2 + 11*j - 11. What is the remainder when 165 is divided by x(n)?
13
Calculate the remainder when 2/5 - (-616)/10 is divided by (33/(-5))/(-13 - 13 - 381/(-15)).
7
What is the remainder when (-8)/2 - ((-48)/5)/(4/240) is divided by 185?
17
Let j(q) = -57*q**3 + 179*q**2 + 10*q - 19. Let y = 25 - 13. What is the remainder when j(3) is divided by y?
11
Suppose -9*o + 10*o + 687 = 0. Let h = o - -706. Calculate the remainder when 341 is divided by h.
18
Suppose 37*i = 1818 + 7987. What is the remainder when i is divided by 63?
13
Suppose 15*z = 18*z + 5*s - 588, -2*z - 3*s + 393 = 0. Calculate the remainder when z is divided by 51.
48
Suppose 186*j - 62*j - 1138 = -146. Calculate the remainder when 4781 is divided by j.