remainder when 13 is divided by n.
1
Let o = 79 + -82. Calculate the remainder when ((-4)/(-2))/(o/(-42)) is divided by 11.
6
Let v(a) = a**2 + 15*a + 17. Let l be v(-14). Suppose -2*q + 85 = l*d, -3*q - 2*q + 64 = 2*d. Calculate the remainder when 106 is divided by d.
25
Suppose -t + 2*t - 78 = 2*f, -148 = -2*t - 4*f. Let c(x) = 3*x**3 - 27*x**2 - 27*x - 10. Calculate the remainder when t is divided by c(10).
16
Let t = 252 + -187. What is the remainder when t is divided by 18?
11
Suppose -92*w + 280 = -78*w. What is the remainder when 54 is divided by w?
14
Let d = -63 - -67. Suppose -5*o + d*t = -135, o = 6*o - 5*t - 140. What is the remainder when o is divided by 13?
10
Suppose 0 = 2*h - 65 - 125. Let f = h - 77. Calculate the remainder when 28 is divided by f.
10
Let i = -247 - -544. What is the remainder when i is divided by 10?
7
What is the remainder when (-3)/(-6) - (-338)/4 is divided by ((-8)/14)/(9 - 14205/1575)?
25
Suppose -46 = -5*j - 3*m - 8, -5*j + 62 = -3*m. What is the remainder when 299 is divided by j?
9
Let l be 1/(4/1 - 5). Calculate the remainder when ((-99)/(-18) + -5)/(l/(-50)) is divided by 26/(2/(2/2)).
12
Let q be (-4 + 7)/(6/4). Suppose q*v = 25 - 5. What is the remainder when ((-10)/15)/((-2)/78) is divided by v?
6
Suppose -110*r + 83*r + 1512 = 0. What is the remainder when 1341 is divided by r?
53
Suppose 103*j - 107*j + 116 = 0. Calculate the remainder when 1 + -8*(-86)/4 is divided by j.
28
Suppose 4*t - 18 = -2*m, 0 = -m + 3*t - 7*t + 11. Calculate the remainder when 90 is divided by m.
6
Suppose 0 = -410*v + 421*v - 330. Calculate the remainder when 71 is divided by v.
11
Let a(q) = -2*q + 1. Let j(m) = 3*m + 35. Let z(d) = 2*a(d) + j(d). What is the remainder when z(-24) is divided by 8?
5
Let j(u) = 30*u**2 - 5*u + 43. Calculate the remainder when j(5) is divided by 35.
33
Let g(j) = j**3 + 5*j**2 - 2*j + 2. Let s be g(-5). Let m(u) = -u**2 + 12*u + 20. Calculate the remainder when m(s) is divided by 12.
8
Let u be 2/(-8) + (-15486)/8. Suppose 0 = -5*a - 15, 10*c + 7 = 8*c - 3*a. What is the remainder when u/(-28) - c/7 is divided by 24?
21
Let m = 11 - 12. Let o(q) = -10*q**3 - 2*q**2 + 2*q + 3. What is the remainder when o(-2) is divided by ((-5)/10)/(m/48)?
23
Suppose 3*x + 9 = -2*b + 6*b, 2*b = -4*x - 12. Suppose -3*s + 198 = -b*s. Let r = -38 + s. What is the remainder when r is divided by 15?
13
Let l = -991 + 1075. What is the remainder when l is divided by 26?
6
Let l be -2 - (-7)/(35/60). Suppose -5*y = -7*y + l. What is the remainder when 19 is divided by y?
4
Let m = -255 - -288. Let g = -14 - -21. Calculate the remainder when m is divided by g.
5
Let n be (8 - 2)/(1/(-4)). Let o = -15 - n. Let s(m) = -3*m + 5. What is the remainder when s(-4) is divided by o?
8
Calculate the remainder when 195 is divided by (-32)/24 - (290/(-6) - 4).
42
Let v(r) = r**2 + 16*r + 63. Calculate the remainder when 523 is divided by v(-12).
13
Let j(c) = c**3 - 12*c**2 + 3*c + 3. Let s be j(12). Calculate the remainder when s/4 + 13/52 is divided by 8.
2
Suppose -52 = a - 673. Calculate the remainder when a is divided by 89.
87
Let k = 13 + 7. Let f = 972 - 902. Calculate the remainder when f is divided by k.
10
Let o(s) = 2*s - 24. Calculate the remainder when o(24) is divided by 9.
6
Suppose -4*o = 5*w - 116, -3*o - w + 30 + 46 = 0. What is the remainder when 145 is divided by o?
1
Let w(y) = 92*y**3. Let i be w(-1). Let m = 141 + i. Let z = 42 + -29. Calculate the remainder when m is divided by z.
10
Let x = -19 - -22. Suppose -x*t + 4*t = 4. Calculate the remainder when 6/t*510/9 is divided by 22.
19
Let q be (1 - (6 - 4)) + (1 - 1). Let d(h) = 32*h**2 - 2*h - 1. Calculate the remainder when d(q) is divided by 5.
3
Let l(b) = -5*b + 7*b + b**2 + 2*b**2 + 0 + 3. Let c be l(-2). Let k = 18 + c. Calculate the remainder when k is divided by 16.
13
Let c = -38 + 48. Suppose -5*y + c = -0*y, 0 = 4*a - 2*y - 36. Let m = -11 - -17. Calculate the remainder when a is divided by m.
4
Suppose -5*y = 5*u - 74 - 6, 3*y = u - 20. What is the remainder when 39 is divided by u?
5
Let u(n) = -n**3 + n + 22. Let k(q) = -2*q. Let t be k(-1). Suppose 5*i - t*i - 119 = o, 0 = -i + o + 39. Calculate the remainder when i is divided by u(0).
18
Suppose 24*l = 85 + 155. Suppose -5*x + 254 + 61 = 0. Let f = x - 37. Calculate the remainder when f is divided by l.
6
Let k(y) = 8*y - 22. What is the remainder when 293 is divided by k(8)?
41
Let u(v) = 5*v + 3. Suppose 2*b + 0 = 14. What is the remainder when u(b) is divided by 10?
8
Suppose -2*x + 40 = 5*c, 5*c - 10 = -0*c. Let f = 13 + 4. Let a = f - 8. Calculate the remainder when x is divided by a.
6
Suppose 17*r - 44 = 15*r + 3*y, 88 = 4*r + y. Calculate the remainder when 124 is divided by r.
14
Suppose 0 = -v + 8 + 5. Let i(u) = 10*u + 9. Let w be i(-7). Let f = w - -86. What is the remainder when f is divided by v?
12
Let z = -66 + 80. Suppose 3*q = 5*q + 5*d - 71, 0 = 4*q - 5*d - 67. Calculate the remainder when q is divided by z.
9
Suppose 0 = -5*b - 7 + 32. Suppose -5*h = -3*f - 61, b*h - 5*f - 40 = 15. What is the remainder when 41 is divided by h?
13
Suppose -k - 5*a = -51, 3*k - 154 = 5*a - 21. What is the remainder when k is divided by 13?
7
Let f be (34/(-170))/(2/(-1030)). Let d = f - 74. What is the remainder when d is divided by 19?
10
Calculate the remainder when (8 + -10)/6*-7767 is divided by 108.
105
Suppose -1334 - 3504 = -59*w. What is the remainder when w is divided by 23?
13
Let n(l) = -l**3 - 2*l**2 - l + 9. What is the remainder when n(-5) is divided by 24?
17
Let s(z) = 6*z**2 + 12*z - 23. What is the remainder when s(5) is divided by 38?
35
Let c(g) = -3*g + 6. Suppose 0 = 3*f + 3*v - 12, f - 6*f - 2*v + 20 = 0. Suppose 12 = -f*i + 2*i. What is the remainder when c(i) is divided by 13?
11
Suppose 34*m - 16 = 30*m. Let v(w) = w**2 - 4*w + 10. What is the remainder when 28 is divided by v(m)?
8
Let f = -335 - -410. Suppose 4*b - y = 104, 104 = 2*b + 2*b + 2*y. Calculate the remainder when f is divided by b.
23
Suppose -2 = -b + 3*x, -2*b - 5*x + 6 = b. Suppose z = 4*u - z - 70, -b*u = -2*z - 40. What is the remainder when 89 is divided by u?
14
Let m = -1 + 4. Suppose 0 = m*z + 2*u + 18, 2*u - 3 = 3*u. What is the remainder when (-148)/(-5)*(-10)/z is divided by 25?
24
Suppose -i + 4 = -l, -2*i = 4*l - 6 - 2. Let j = i + 41. What is the remainder when j is divided by 3/((-1)/((-23)/3))?
22
Let h = -121 + 133. Suppose 0 = -2*l, o - 2*l = 15 + h. Calculate the remainder when 103 is divided by o.
22
Suppose 3*i - 3*p = 357, 0 = 2*i + 2*p - 267 + 49. Calculate the remainder when 341 is divided by i.
113
Let h(y) = y**3 - y**2 - y. Let t(w) = 4*w**3 - 7*w**2 - 5*w + 1. Let a(u) = -6*h(u) + t(u). What is the remainder when a(-4) is divided by 28?
25
Let t be (-10)/2*36/15. Let n be (28/6)/(8/t). What is the remainder when (-3 - 2*n) + -4 is divided by 4?
3
Let j be (-174)/15 + (-2)/5. Let k = 7 - j. What is the remainder when k is divided by -2 + 1 + 3 + 8?
9
Let a(u) = u - 3. Let r be a(6). Let f(o) = 2*o**3 + 2*o**2 - 5*o - 4. Calculate the remainder when f(r) is divided by (2/5)/((-2)/(-90)).
17
Let f be 12/((-20)/(-5)) + -3. Suppose f = 3*k - 11 - 49. Calculate the remainder when 37 is divided by k.
17
Let l(c) = 18*c**3 - c**2 - c + 1. Let i be l(1). Suppose -3*x = 7 + i. Let w(a) = a**2 + 6*a - 12. What is the remainder when 18 is divided by w(x)?
2
Calculate the remainder when 274 is divided by (4 - -97*(1 - 2))*-1.
88
Suppose -4*o - 4*m = -16, 0 = -0*o - o - 4*m - 2. Suppose -o*g + 23 = 5. What is the remainder when 3 is divided by g?
0
Let g = -22 + 25. Suppose -g*k + 0 + 15 = 0. Calculate the remainder when k is divided by 4.
1
Let m = -19 - -30. Calculate the remainder when m is divided by 10 + (6/(-4))/((-4)/(-8)).
4
Suppose 5*g - 3 + 43 = 0. Let h be (64/(-12))/(0 - 1/(-3)). Let d = g - h. What is the remainder when 29 is divided by d?
5
Let h = 1 + 10. Let w = 12 - h. Suppose 4*k = 5*t - 36, t - 3 = 4*k + w. Calculate the remainder when 15 is divided by t.
7
Suppose 4286*n - 4296*n + 800 = 0. What is the remainder when 166 is divided by n?
6
Calculate the remainder when 140/2*(-39)/(-26) is divided by (-6)/3 + 4 + 25/1.
24
Let q = 2 - -6. Suppose -q*k