e remainder when 54 is divided by n.
12
Calculate the remainder when 1*-4*(-10 + 3) is divided by 25.
3
Let x(f) = f**2 + f + 8. Let b be x(0). Let m(c) = -c + 13. Let p be m(b). Suppose -3 - p = -2*z. What is the remainder when 13 is divided by z?
1
Calculate the remainder when 39 is divided by 7/(14/(-20))*(4 - 6).
19
Suppose 0 = -6*q + 76 - 10. Let z = 16 - 7. Calculate the remainder when q is divided by z + -8 + 3 + 0.
3
Suppose s - 93 = -2*s. Let c be (-4)/2*44/(-8). Suppose -c = -4*a + 53. What is the remainder when s is divided by a?
15
Let z = 23 + 26. What is the remainder when 194 is divided by z?
47
Let d be (-149)/(-3) - (-8)/(-12). Suppose -j = -1 + 1. Suppose j*c = c - d. Calculate the remainder when c is divided by 13.
10
Let o(v) = v**3 - 5*v**2 + 13*v - 61. What is the remainder when 8 is divided by o(5)?
0
Suppose 0 = 2*p + 2, i - 5*p = 3*i - 43. What is the remainder when i is divided by 5?
4
Suppose -72 = -4*k + 4*w, -5*k + 4*w = -104 + 11. Suppose 1290 - 78 = 12*a. Calculate the remainder when a is divided by k.
17
Suppose -150*z + 144*z + 516 = 0. Calculate the remainder when 340 is divided by z.
82
Let u(q) = q**3 + 3*q**2 - q + 7. Suppose 0 = -5*n - 4 - 11. Calculate the remainder when u(n) is divided by 3.
1
Let w(g) = 6*g - 6. Let y be w(4). Calculate the remainder when 20/(-100) + (-221)/(-5) is divided by (-133)/(-9) - (-4)/y.
14
What is the remainder when (1 - 2)*-74*1 is divided by 13?
9
Suppose -5*m + 3*f + f = -487, 402 = 4*m + 3*f. Suppose -3*n + 44 = -4*z, 10*n - 92 = 5*n + 2*z. Calculate the remainder when m is divided by n.
19
Let z = 13 - 8. Suppose -d + z*j + 40 = 0, 4*d = -d + j + 200. What is the remainder when 61 is divided by (6/(-15))/((-1)/d)?
13
What is the remainder when 14/(-1)*231/(-66) is divided by 35?
14
Let r(p) = 44*p - 31. Calculate the remainder when 176 is divided by r(2).
5
Let f = -48 - -69. Suppose 10*i - 12 = 8*i. Calculate the remainder when f is divided by i.
3
Let v be (-73)/438 - (-2)/12. Suppose 5*y + 0*p = 4*p - 265, -5*y - 2*p = 265. What is the remainder when v/(-1) - (y - 0) is divided by 19?
15
Let i be ((-426)/(-4))/((-2)/4 + 0). Let b = i + 302. Calculate the remainder when b is divided by (1 - 1) + 31 + -1.
29
Suppose 3*h + 116 = q, -2*q + 332 = q - h. Suppose 5*p - q + 5 = 0. Calculate the remainder when 55 is divided by p.
13
Let d = -690 + 805. What is the remainder when d is divided by 30?
25
Let z(j) = -j**2 - 28*j - 14. Let u(y) = 6*y + 1. What is the remainder when z(-25) is divided by u(5)?
30
Let m(v) = 44*v - 13. Calculate the remainder when m(2) is divided by 17.
7
Let i(w) = 2*w**2 - 7*w + 10. Let t be i(-7). Let x = t - 93. Suppose d = -d + x. What is the remainder when d is divided by 11?
10
Suppose 2*m + 4*q + 8 = 0, -m - 19*q = -22*q - 21. Calculate the remainder when 33 is divided by m.
3
Let f(j) = -j**3 + 9*j**2 + 13*j - 15. Suppose 0 = -34*w - 44 + 180. Calculate the remainder when f(10) is divided by w.
3
Let h(l) = 3*l**2 + 11*l + 4. Suppose 4 + 26 = -6*g. Calculate the remainder when h(g) is divided by 5.
4
Suppose 515*a - 323 = 496*a. What is the remainder when 46 is divided by a?
12
Suppose -3*x + 80 = -2*b + 278, 0 = 2*b - 4*x - 200. Calculate the remainder when b is divided by 33.
30
Suppose -10*q + 7*q = 0. Suppose q = -8*w + 6*w + 56. Let d(h) = h**3 - 21*h**2 + 20*h + 15. What is the remainder when w is divided by d(20)?
13
Let n = -959 + 1018. Suppose -5*i = -32 - 68. What is the remainder when n is divided by i?
19
Let l(s) = -s**3 + 8*s**2 + 14*s + 1. Let p be l(6). Suppose -3 = -5*x + p. What is the remainder when 61 is divided by x?
29
Suppose -540 = -2*u - 172. What is the remainder when u is divided by 25?
9
Suppose -190 - 294 = -22*u. Let w(q) = q**2 - 5*q - 1. Calculate the remainder when u is divided by w(7).
9
Suppose u = 3*t - 11, -5*t = 5*u + 6 + 9. Let k(w) = 31*w - 8. Calculate the remainder when k(t) is divided by (-136)/(-10) - 4/(-10).
12
Suppose 2*y + 4*v + 5 = v, 0 = 4*y - 3*v - 17. Suppose -k + 3*f = -21, 0 = -5*k + f - y*f + 153. Calculate the remainder when 57 is divided by k.
27
Let a(y) = y**2 - 3*y - 2. Let l(s) = s**3 - 4*s**2 + 2*s + 1. Suppose -2*h + 11 - 3 = 0. Calculate the remainder when a(-3) is divided by l(h).
7
Suppose 5*c - 5*p = 55, -3*c + 0*c + 2*p = -33. Suppose -861*l - 172 = -863*l - 4*x, 0 = 5*l + x - 385. Calculate the remainder when l is divided by c.
10
Let k(d) = -d**2 - 11*d - 14. Let w be k(-9). Suppose 2*x + w*x = 168. Calculate the remainder when x is divided by 15.
13
Let o = -123 + 221. What is the remainder when o is divided by 53?
45
Let r be (-1)/(-5)*-4*15. What is the remainder when -4*(2 - r/(-4)) is divided by 3?
1
Suppose 3*s + 3*g - 284 - 538 = 0, 3*s = -2*g + 827. Suppose -s = -2*y - 2*y + f, -15 = -3*f. What is the remainder when y is divided by 37?
34
Suppose 4*m - 5*m + 2*u + 145 = 0, -3*u - 9 = 0. Calculate the remainder when m is divided by 49.
41
Suppose 4*x - 65 = -2*n - 3*n, 0 = -2*n - 2*x + 26. Suppose -3*t - 10 + n = 0. Calculate the remainder when -2 + t + 3 - -49 is divided by 18.
15
Let z(i) = -i + 88. What is the remainder when z(-56) is divided by 21?
18
Suppose 2*c = -5*u + 40, -2*u - 8 = -3*c + 33. Suppose -3*v + 534 = 3*v. What is the remainder when v is divided by c?
14
Suppose 455*w = 454*w + 58. What is the remainder when 346 is divided by w?
56
Suppose -2*k + 10 - 6 = 0. Suppose 55 = 4*s - o, -k*s = 2*s + o - 65. Let p = 7 + -3. Calculate the remainder when s is divided by p.
3
Let o(p) = 2*p**2 - 36*p - 5. Let i be o(20). Let u = i - 45. Calculate the remainder when 87 is divided by u.
27
Suppose -4*p + 346 = -2*h, -3 = 2*h - 3*h. What is the remainder when p is divided by 18?
16
Let o = -16 - -44. Let i(d) = -d**2 + 11*d - 12. What is the remainder when o is divided by i(9)?
4
Suppose -813 = -5*c + 4*i + 344, i + 3 = 0. Calculate the remainder when c is divided by 29.
26
Let s(j) = 2*j**3 + 5*j**2 - 12*j - 2. Let f be s(-5). Let u = 26 - f. What is the remainder when u is divided by 12?
9
Let g(o) = o**3 + o**2 + 5*o - 7. Let w be g(2). Let v = 39 - w. What is the remainder when v is divided by 9?
6
Suppose 0 = 4*l - t - t - 58, 3*t = 4*l - 59. Let r(j) = 2*j - 2. Calculate the remainder when r(l) is divided by 17.
9
Suppose -2*q - 4*q = -192. Let y = 7 + -3. Suppose 36 = 3*m + y*s + s, 0 = m - s - 4. Calculate the remainder when q is divided by m.
4
Let o(g) = 96*g**3 + 14*g**2 - 32*g - 3. What is the remainder when o(2) is divided by 40?
37
Suppose -14*l - 172 = -12*l. Calculate the remainder when 65 is divided by -1*5/25 - l/5.
14
Let g be (1/((-10)/72))/((-48)/(-160)). What is the remainder when 62 is divided by (g/(-16))/((-2)/(-28))?
20
Suppose -6*p + 9*p - 4*j - 13 = 0, -j = 5*p - 14. What is the remainder when 16 is divided by p?
1
Suppose -4*d - 3*s = -9 - 20, 2*d - 2*s = 4. Let h(z) = z + 10. What is the remainder when h(0) is divided by d?
0
Let l = -3 + 6. Suppose -l*m = 42 - 219. What is the remainder when m is divided by 45/6*40/15?
19
Let w(j) = -j**3 + 29*j**2 + 27*j + 9. Let g be w(29). Suppose 14*f - 6*f - g = 0. Calculate the remainder when f is divided by 29.
12
Suppose 74*p - 470 - 936 = 0. What is the remainder when 207 + (1 - 3) + 1 is divided by p?
16
Suppose -7*j = 26*j - 2475. Calculate the remainder when 599 is divided by j.
74
Suppose -p = 2*b - 37, 0 = 107*p - 106*p - 2*b - 29. Calculate the remainder when 394 is divided by p.
31
Let o = -234 + 342. Let w(b) = b**3 + 20*b**2 + 20*b + 33. Calculate the remainder when o*5/((-20)/(-3)) is divided by w(-19).
11
Suppose 4*b = 2*b - 5*u - 10, 0 = b - 2*u - 13. Let s = 140 - 127. What is the remainder when s is divided by b?
3
Let s(q) = 9*q - 103. What is the remainder when 121 is divided by s(15)?
25
Suppose 0 = 4*t - 3*a - 59, 0 = t - 3*a + 6 - 32. What is the remainder when 72 is divided by t?
6
Let m be 60 + -24 + (-1 - 5). Let r be 54/10 - 2/5. Suppose 0 = -3*a - 3*h, 2*a - r*h - m = a. Calculate the remainder when 9 is divided by a.
4
Let j(x) = -x + 11. Let t be j(8). Suppose 25 = 2*q + t*q. Suppose -q*u + 28 = -3*u. What is the remainder when 41 is divided by u?
13
Suppose -61 = -4*m + 479. Let s(d) = d - 23. Calculate the remainder when ((-8)/10)/((-6)/m) is divided by s