n f is divided by n.
6
Suppose -143*k + 4370 = -28*k. Suppose -7*f = -2*f - 935. What is the remainder when f is divided by k?
35
Let r(l) = -13*l + 7. Let d be r(7). What is the remainder when (-2)/(3/69*-2) is divided by 2/(-7) + (-528)/d?
5
Let l = -19 + 33. What is the remainder when l is divided by 1/(-2) - ((-35)/2 + 5 - -8)?
2
Let l(a) = 2*a**2 - 3*a + 2. Let w be l(-3). Suppose 3*n - 3 - w = -5*x, -2*n = -x - 4. Calculate the remainder when (-105)/12*x/(-1) is divided by 19.
16
Suppose 113 = 61*x - 1351. What is the remainder when x is divided by (-13)/(-2)*(-1 + 3)?
11
Let i be 387 - 2/2 - 46/23. Suppose -i = -7*a - a. What is the remainder when a is divided by 7?
6
Calculate the remainder when (-2)/(581/(-574) + 1) is divided by 28.
24
Let h = -203 - -224. Suppose 4*c - 43 = c + 5*l, 5*c = 2*l + 59. Calculate the remainder when h is divided by c.
10
Suppose -3*k = 5*j - 103, -2*k - 3*k = -2*j - 182. Suppose -2*v - k = -5*h - 3*v, 2*v + 32 = 3*h. Calculate the remainder when h is divided by 4.
0
Suppose 2*a - 14 = -2*n, n - 5*a + 3 + 2 = 0. Suppose 0 = n*p + p - 162. Calculate the remainder when 52 is divided by p.
25
Let t = 1820 + -1732. Calculate the remainder when 879 is divided by t.
87
Let y(b) = 27*b**2 + 3*b - 4. Suppose -3*z = -31 - 11. Calculate the remainder when y(1) is divided by (1 + z/(-8))*-12.
8
Let a(z) = z**3 + 8*z**2 + 6*z + 5. Suppose 0 = 2*n - w + 11, -3 = 3*n + 2*w + w. Calculate the remainder when a(n) is divided by 8.
5
Suppose 3*x + 5*o - 109 = 0, -o = -5*x + 138 + 81. Suppose -17 - x = -5*c. What is the remainder when (23 - 0) + -2 + 1 is divided by c?
10
Let u(c) = -13*c - 11. What is the remainder when u(-10) is divided by 15?
14
Let d(y) = -2*y - 17. Let l be d(-10). Calculate the remainder when 81 is divided by -1 + 2 - 0 - (l - 14).
9
Suppose -k - i + 3 = -6, k - 2*i = 0. What is the remainder when 69 is divided by (-16)/k*(-63)/12?
13
Let o be ((-8)/(-4))/(27/26 - 1). Calculate the remainder when 24 is divided by (o/6 + 0)/((-48)/(-72)).
11
Suppose -4*z = 2*f - 412, f = -3*z + 5*f + 320. Calculate the remainder when z is divided by 21.
20
Suppose 64 = 3*v - v. Suppose 3*p - 211 + 25 = -3*b, p - 314 = -5*b. What is the remainder when b is divided by v?
31
Suppose 20*f = -16167 + 16907. Let x(k) = -3*k - 5. Calculate the remainder when f is divided by x(-6).
11
Let q(l) = 80*l**2 + 11*l - 11. What is the remainder when 232 is divided by q(1)?
72
Let u(l) = 5*l**2 + 4*l - 31. Calculate the remainder when 513 is divided by u(4).
58
Suppose -20*x = -50*x + 9690. Calculate the remainder when x is divided by 9.
8
Suppose -3*c - 2*u + 51 = 0, 0*u + 61 = 4*c + 5*u. Calculate the remainder when c is divided by 4.
3
Let b be ((-1)/2)/((-7)/(-294)). Let u(x) = x**3 + 20*x**2 - 21*x + 13. What is the remainder when 25 is divided by u(b)?
12
Let y(c) = c**3 + 9*c**2 + 4*c + 17. Suppose -4*p - 54 = -2*n, -7*p - 93 = -4*n - 2*p. Calculate the remainder when y(-8) is divided by n.
15
Suppose 0 = 9*q - 14*q - 185. Let d = 46 + q. Calculate the remainder when 22 is divided by d.
4
Suppose -148 = -51*k + 14*k. What is the remainder when 26 is divided by k?
2
What is the remainder when ((-6 - 2) + 7)*-161 is divided by 11?
7
Let d = -319 - -342. Suppose 440 = 5*c + 5*l, -5*l - 5 = -0. What is the remainder when c is divided by d?
20
Let i = -3758 - -3826. Calculate the remainder when i is divided by ((1 + 0)*-12)/(-1).
8
Suppose 5*u = u + 20. Suppose 0 = -5*g - 4*f + 468, -u*g + 2*f = -2*f - 492. What is the remainder when g is divided by 9?
6
Let o = -557 - -611. Calculate the remainder when o is divided by 28.
26
Let r(n) = n**2 - 5*n - 8. Let o be r(-5). Let b = o - 28. Let t(i) = i**2 - 7*i - 16. What is the remainder when t(b) is divided by 28?
26
Suppose -4*b + 8 = 0, 2*u = 4*u + b - 24. Calculate the remainder when 614 is divided by u.
9
Let n(t) = 2*t + 9. Let x be n(-4). Let p = 4 - x. Suppose 0 = -p*a + k + 3*k + 38, -4*a - 4*k = -88. Calculate the remainder when 70 is divided by a.
16
Let d = -232 - -336. Let p = d + -101. Calculate the remainder when 8 is divided by p.
2
Suppose -1888 = 6455*u - 6459*u. What is the remainder when u is divided by 11?
10
Let v(x) = x**3 - 19*x**2 - 17*x - 35. What is the remainder when v(20) is divided by 7?
4
Let a(v) = -2 - 7 - 3*v + 4. Let y be a(6). Let q = y - -38. Calculate the remainder when 57 is divided by q.
12
Suppose -121*w = -118*w - 444. Calculate the remainder when w is divided by 31.
24
Suppose 2*l = -3*d + 75, 77 = 86*l - 84*l + 5*d. Calculate the remainder when 49 is divided by l.
13
Let z = -12 + 16. Calculate the remainder when z/(-6) - (-2121)/63 is divided by 12.
9
Let j(d) = d**2 + 6*d + 12. Let o be j(-3). Suppose -140 = -4*l + 4*z, 5*z + 143 = o*l + l. What is the remainder when 159 is divided by l?
31
Suppose 2*i = -5 + 11. Let k(n) = -n**2 - 16*n - 36. What is the remainder when i is divided by k(-13)?
0
Let x be 15/(-13) + (-6)/(-39). Let g(h) = -6*h**2 - 7*h**3 - 14*h**3 - h + 4*h**2 + h**2. What is the remainder when 81 is divided by g(x)?
18
Let o(l) = -2*l**2 + 46*l - 42. Suppose 0 = f + 2. Calculate the remainder when 6 - 5/((-5)/f) is divided by o(22).
0
Let t be ((-66)/8 + 0)/(18/48). What is the remainder when 114 is divided by (-344)/(-20) - (t/(-10) - 2)?
12
Suppose 312 - 96 = 6*c. Calculate the remainder when 122 is divided by c.
14
Let s(x) = -x**3 + 24*x**2 + x + 43. Calculate the remainder when 127 is divided by s(24).
60
Let f = 67 - 42. Suppose -y = -5*y - l + f, 3*y - 6 = -5*l. Suppose -y = -0*o - o + 3*k, 3*o - 49 = -5*k. What is the remainder when 23 is divided by o?
10
Suppose 3*l - 2*a = -14, -3*l - 4*a - 16 = 2*l. Let h = 7 + l. Calculate the remainder when (7/(-21))/((2/(-36))/1) is divided by h.
0
Suppose 0 = -2*c + 10. Suppose 0 = -g + 5, -4*u + c*g - 4*g = -291. Suppose n - u = -n. What is the remainder when n is divided by 19?
18
Suppose -14*x + 4*x = -280. What is the remainder when 417 is divided by x?
25
Suppose 2*t = -2*u + 126, 8*t + 157 = 3*u + 3*t. Calculate the remainder when u is divided by 9.
5
Suppose p - 12 = 5*k, -3*k + 24 = 2*p + 2*k. Suppose -45*q + 341 = -14*q. Calculate the remainder when 16/3*p/2 is divided by q.
10
Let y(d) = -14*d**3 - 2*d - 1. Let c be y(-1). Let h = -32 - -37. Let b = c + h. Calculate the remainder when 77 is divided by b.
17
Suppose -15*d + 3*d + 312 = 0. Calculate the remainder when 98 is divided by d.
20
Let m be (-4)/(-4) - (1 - -2). Let j = 31 + -14. What is the remainder when ((-1)/m)/((-6)/(-384)) is divided by j?
15
Let r = -1972 + 2279. What is the remainder when r is divided by 90?
37
Let b(y) = 29*y - 256. Suppose -5 - 1 = -3*k. What is the remainder when b(11) is divided by 9/(-18) - (-67)/k?
30
Let h = 170 + -130. Let y be (-9)/((-3)/4*2). Suppose k + 70 = y*k. Calculate the remainder when h is divided by k.
12
Suppose 0 = 20*f - 251 - 369. What is the remainder when 109 is divided by f?
16
Suppose -49 = -5*s - 4*k, -2*s - 3*k = -7*s + 77. Calculate the remainder when 76 is divided by s.
11
Let v = 260 - 179. Let t = v + -66. What is the remainder when 38 is divided by t?
8
What is the remainder when (29026 + -19)/9 + -3*2 is divided by 20?
17
Suppose -4*w + 9*w = 25. Let q = w - -6. Calculate the remainder when 41 is divided by q.
8
Suppose 3*v - 890 = -3*a - v, -5 = 5*v. What is the remainder when a is divided by 43?
40
Calculate the remainder when 17/(-2 - -3) + 1 + -3 is divided by (-9)/3*(1 - 4).
6
Let j be (-22)/(-11) + 8*2. What is the remainder when 8/((-240)/j) + 593/5 is divided by 30?
28
Let o = 328 + -153. Suppose -u - o = -6*u. Suppose 2*z - 4*q = q + 216, -2*q + 511 = 5*z. Calculate the remainder when z is divided by u.
33
What is the remainder when 18 is divided by (-4)/14 + 711/63?
7
Suppose 3*f + 3*x - 82 = 7*x, -2*x = 2*f - 64. What is the remainder when 416 is divided by f?
26
Suppose 2*m - 178 = 5*o - 7*o, 5*o = -3*m + 265. Calculate the remainder when 268 is divided by m.
88
Let s(f) = -f**3 + 5*f**2 + 23*f + 27. What is the remainder when 946 is divided by s(8)?
15
Suppose 9*n = 179 + 82. Calculate the remainder when 751 is divided by n.
26
Calculate the remainder when 104 + ((-37)/(-74))/((-1)/(-10)) is divided by 65.
44
Let h = 3406 + -3325. Calc