mainder when 12415 is divided by k.
25
Let s = -463 - -610. Calculate the remainder when 276 is divided by s.
129
Suppose -4*d + j = -0*j - 480, 4*d = 4*j + 492. Let c(p) = -148*p + 29754. What is the remainder when d is divided by c(201)?
5
Let u = -62 - -85. Let i(j) = 4*j - 2. Let k be i(0). Calculate the remainder when u is divided by (k + -7)*(-2)/(-6)*-2.
5
Let d(h) = 24*h - 22*h - 17*h + 5 - 5*h. What is the remainder when 147 is divided by d(-1)?
22
Calculate the remainder when 7 - (-414)/((-63)/(-7)) is divided by 20.
13
Let j = -2005 - -7783. Calculate the remainder when j is divided by 17.
15
Suppose 168*m = 178*m - 120. What is the remainder when 1234 is divided by m?
10
Let q(o) = -o**2 + 63*o + 578. What is the remainder when 134 is divided by q(70)?
46
Let j = 206 + -198. Suppose j*d = 12*d - 476. Calculate the remainder when d is divided by 6/(-39) + 1254/39.
23
Suppose 0*s - 4*s + 5*p + 21 = 0, s - p - 5 = 0. Calculate the remainder when 98 is divided by s + (9*(-6 + 3))/(-1).
5
Let u = 1350 + -1294. Let x(c) = -2*c**2 - 4*c + 3. Let w be x(-3). What is the remainder when 165 - (w + 2 + 1) is divided by u?
53
Suppose 0*c - 251 = -4*n + c, -118 = -2*n - 2*c. Suppose 5*t - 5*k = -15, -3*t - 5 = -k - 0. Calculate the remainder when n is divided by t/(-4) + 134/8.
11
Let s = -376 - -508. Let w = 19 - -3. Let k = w - -23. Calculate the remainder when s is divided by k.
42
Suppose 7*q - s = 11*q - 7543, -5*s - 3755 = -2*q. What is the remainder when q is divided by 623?
16
Let s(x) = 3*x + 6. Let z(n) = -144*n + 1133. What is the remainder when z(7) is divided by s(5)?
20
Let d(q) = -q**2 + 13*q + 3. Suppose 488 - 58 = 2*g - 14*x, 4*x = -5*g + 841. Calculate the remainder when g is divided by d(11).
23
Let x = 155 + 6. Let y = x - 153. Calculate the remainder when 22 + 2 + 4 + -2 is divided by y.
2
Suppose 9*j - 5*j = 8. Suppose 187 + 17 = -j*u. Let z = -56 - u. What is the remainder when z is divided by 13?
7
Suppose 0 = 20*h - 7*h - 17478 + 721. What is the remainder when h is divided by 106?
17
Suppose 4*h + 3 = -1. Let b = 41 + -23. What is the remainder when (-1 - (-26 + -6)) + h is divided by b?
12
Let f(j) = -j**3 - 11*j**2 + 33*j + 33. Let l = 201 + -215. What is the remainder when f(l) is divided by 32?
31
Let a(y) = -25*y**2 - 1651*y + 35. What is the remainder when 413 is divided by a(-66)?
9
Let z(s) = 8*s**2 + 3*s - 1. Let v = 62 + -41. Let f = v - 19. What is the remainder when 73 is divided by z(f)?
36
Suppose 3*n - d + 0*d + 2 = 0, -5*n + 4 = 2*d. Suppose -5*w + h + 292 = n, h = -4*w + 2*h + 233. Calculate the remainder when 412 is divided by w.
58
Let f(w) be the third derivative of -w**4/24 + 3*w**3 + 28*w**2. Let a be f(12). Let s(m) = -4*m + 29. What is the remainder when 28 is divided by s(a)?
3
Let k(s) = 235*s**2 - 7990*s + 4. Suppose -3*l = -4*m - 325, m - 202 = 2*l - 4*l. Calculate the remainder when l is divided by k(34).
3
Suppose 5*p - 7*p + 34 = 0. Let v = -934 + 964. Calculate the remainder when v is divided by p.
13
Let x be (-10)/35 + 524/(-28). Let s = x + 41. Calculate the remainder when 74 is divided by s.
8
Let j(t) = -49*t + 1886. What is the remainder when j(17) is divided by 62?
61
Let t = -81 - -108. What is the remainder when 112 is divided by t - (7 - 4)*1?
16
Let c be (-1 + 176)/5 - 4. Let p = 32 - c. Let o = 26 + p. What is the remainder when 106 is divided by o?
25
Let j(g) = g**2 - 13*g - 13. Let b be j(10). Let l be (-4 - -2)*(-82)/(-4). Let x = l - b. What is the remainder when 3 is divided by x?
1
Suppose 5*z = -q + 485, 4*q - 2*q - 490 = -5*z. Let f be 2/(-1) - (-7 + (2 - -7)). What is the remainder when z is divided by (-222)/(-11) + 5 - f/(-22)?
21
What is the remainder when 137 is divided by 76 + -63 + (9 - 1)?
11
Let m(h) = h**3 + 8*h**2 - 16*h - 30. Let k(u) = u**2 - 3*u + 9. Calculate the remainder when k(9) is divided by m(-9).
30
Let p(n) = 7 + 12*n + 26*n - 19*n. Let i(c) = c**3 - 8*c**2 + 14*c - 7. Let k be i(6). Calculate the remainder when p(k) is divided by 26.
24
Let w = 14522 + -14502. What is the remainder when w is divided by 54/8 + (-1)/(-4)?
6
Let i = -171 - -174. Calculate the remainder when (-416 - -1)*i/(-15) is divided by 17.
15
Let k = 4 - 4. Calculate the remainder when (2 + 1)/((-51)/(-136)) is divided by 1 - (k + (-4)/2).
2
Suppose 36*a = 42*a - 636. Suppose a*q - 116*q + 1830 = 0. What is the remainder when q is divided by 46?
45
Suppose 15*y + 5308 = 5743. Calculate the remainder when 953 is divided by y.
25
Let j = 4801 + -1734. Calculate the remainder when j is divided by 236.
235
Let a = 4172 + -4032. Calculate the remainder when a is divided by 4/5*(-1 + -3 + 89).
4
Let c = -2202 + 2221. Calculate the remainder when (2 + -111)*-1 - -4 is divided by c.
18
Let w(a) = 3*a**3 + 29*a**2 - 11*a + 1. Let c = 385 - 395. What is the remainder when 27*2 - 0/(-2) is divided by w(c)?
10
Suppose 5*s - 230 = -0*s. Let a(h) = -38*h - 4. Let x be a(-2). Suppose -5*i = 4*p - x, -2*p + 5*p + 54 = 3*i. What is the remainder when s is divided by i?
14
Calculate the remainder when 251/(((-2)/(-7))/(160/560)) is divided by 93.
65
Let z = 284 + -277. Suppose 172 = z*h + 4. What is the remainder when 81 is divided by h?
9
Let w(n) = -3*n - 14. Let z be w(-5). Let v be -14642 + (-5 - (z + -8)). Calculate the remainder when v/(-210) + 4/14 is divided by 12.
10
Suppose 0*k + 10 = -k + 2*g, 2*g = -3*k + 2. Let i(u) = -9*u - 2. What is the remainder when (-87)/((-174)/(-8)) - (906/(-14) - 2/7) is divided by i(k)?
13
Suppose -4*w - 141 + 117 = -3*i, 0 = -5*w - 15. Calculate the remainder when 2977 is divided by i.
1
Let p = -774 + 783. Suppose -5*h + 5*c - 10 = 0, -4*h - c = -22 + 5. What is the remainder when (p/21)/((-7)/(-343)) is divided by h?
0
Suppose -h = 5*m - 271, 51*h + 3*m + 311 = 52*h. Calculate the remainder when h is divided by 151.
145
Suppose 0 = 2*y + 3*s - 30 - 12, -y + 32 = -4*s. Let d(b) = 4*b**2 - 96*b + 23. What is the remainder when 112 is divided by d(y)?
20
Suppose 47 + 25 = 2*t. Suppose 0 = -l + 5*l - t. Suppose -a = -10 - 14. What is the remainder when a is divided by l?
6
Let h(w) = -w**3 + 109*w**2 + 812*w + 30. Let u(p) = -17*p - 3. Calculate the remainder when u(-6) is divided by h(116).
9
Suppose -21*v + 26*v - 1464 = -2*t, -2145 = -3*t + v. What is the remainder when t is divided by 151?
113
What is the remainder when 1118 is divided by ((-49)/((-4459)/260) + -2)*(1 + 48)?
26
Suppose 18 = 3*y, -4*s + 117 - 9 = 2*y. Calculate the remainder when 745 is divided by s.
1
Let a = -34749 - -35230. Calculate the remainder when a is divided by 120.
1
Let p(u) = 9*u**3 - u**2 + 9*u - 7. Suppose 1550 = 5*m - 4*j, -686 = -4*m - j + 533. Suppose 0*t + 6*t = m. Calculate the remainder when p(3) is divided by t.
50
Let u(w) = 114*w**2 - 2*w + 8. Let o be u(-4). Suppose -27*s = -779 - o. Calculate the remainder when s is divided by 20.
17
Suppose 206 + 864 = 9*t - 2125. What is the remainder when t is divided by 97?
64
Let u(k) = k**3 + 3*k**2 - 13. Let o be u(10). Suppose -o = -15*b + 6*b. Let s = -101 + b. Calculate the remainder when 124 is divided by s.
40
Let a(g) be the third derivative of -g**6/30 - 7*g**5/15 - 7*g**4/12 - 19*g**3/6 + 2*g**2 + 19*g. What is the remainder when a(-8) is divided by 13?
11
Let x(n) = n**3 - 49*n**2 + 23*n - 158. Calculate the remainder when x(49) is divided by 239.
13
Calculate the remainder when 293 is divided by ((-9 - 8) + 8)*(-11)/3.
29
Suppose 2*x = -10, -2*x - 52 - 234 = -4*n. What is the remainder when 258 is divided by n?
51
Suppose 8*l + 48*l + 62*l = 83426. What is the remainder when l is divided by 189?
140
Suppose c - 2*s = 20, -4*c - 5*s + 57 + 10 = 0. Let t(w) = -148*w + 9. Calculate the remainder when t(-1) is divided by c.
13
What is the remainder when 703 is divided by (-132)/11*-1 - -219?
10
Let j(r) = -r**3 - 6*r**2 + 25*r + 7. Let m be j(-10). Let g = m - 108. What is the remainder when g is divided by 21?
7
Suppose -74*h + 61*h = -702. What is the remainder when 189 is divided by h?
27
Let o(p) = p**3 - 19*p**2 + 36*p - 27. Let i = 321 + -304. Let j = 29 - -3. Calculate the remainder when j is divided by o(i).
4
Let a = 730 - 595. Suppose 2*g + 524 = 4*u, -g - 134 = 5*u - 803. Suppose 2*i - 96 = -3*l, 