n is divided by 12.
5
Let j(b) = 2*b**2 + 5*b + 4. Suppose 25 = -5*a, -3*z - 6 = 4*a - 4. Calculate the remainder when j(z) is divided by 27.
25
Let d(w) = -w**3 - 5*w**2 - 2*w + 3. Let r = 15 - 29. Let v(q) = -q - 19. Let y be v(r). What is the remainder when d(y) is divided by 5?
3
Suppose -3*n = -136 + 130. Calculate the remainder when 82 is divided by 14/(-91) + n/13 + 17.
14
Suppose -25*k = -44*k + 342. What is the remainder when 63 is divided by k?
9
Let v = -26892 - -26921. Suppose 16 + 14 = 3*d. Calculate the remainder when v is divided by d.
9
Let p(z) = 3*z**2 + 5*z - 7. Let f be p(-4). Let a = f - 15. Calculate the remainder when 45 is divided by a.
3
Suppose -9*s + 1781 = 152. What is the remainder when s is divided by 63?
55
Suppose -2*b - 2*y - 2*y = -14, 3*y - 12 = 0. What is the remainder when 335/10 + b/2 is divided by 18?
15
Suppose -3*o + 32 = 4*t - 2, -3*o + 6 = 0. Suppose 2*y = -3*y + 475. Suppose y = 4*h + h. Calculate the remainder when h is divided by t.
5
Let s(n) = 3*n**2 + 5*n + 16. Let z(a) = -a**2 + 7*a + 2. Calculate the remainder when s(-3) is divided by z(6).
4
Suppose 4*a - 34 + 2 = 0. Let f be 0/(-2) + (6 - 5). Suppose 2*m + 2*m - 17 = -u, -m = -f. What is the remainder when u is divided by a?
5
Suppose 2*n + 6 = n. Let m be n/(-9) + 26/6. Suppose -m + 69 = 4*f. Calculate the remainder when 46 is divided by f.
14
Let z(u) = -u - 2. Let p be z(-7). Calculate the remainder when (1 - 6)/p - -38 is divided by 13.
11
Suppose 2*h = -m + 1, 2*m - 13 = 5*m - 2*h. Let s(u) = 6*u**2 - 2*u + 1. Let q be s(1). What is the remainder when (1 - q)*(m - 1) is divided by 6?
4
Suppose 2*s - s = 16. Suppose 5*u = -3*x + 236, -3*u + 32*x - 33*x + 140 = 0. Calculate the remainder when u is divided by s.
14
Let n(r) = 54*r + 4. Let c(g) = -g + 53. Calculate the remainder when n(3) is divided by c(29).
22
Suppose 5*h = 0, 0 = -4*c - c - 4*h + 1175. Calculate the remainder when c is divided by 74.
13
What is the remainder when (-596)/(-10) - 2/(-5) is divided by (6 - (-4 + (7 - 4)))*3?
18
Suppose 28*b = 23*b - q + 64, 38 = 3*b + q. Suppose 4*n - 361 = 207. What is the remainder when n is divided by b?
12
Let h(c) = 7*c**2 - 5*c**2 - 22*c + 4 - 12 + 5. What is the remainder when 37 is divided by h(12)?
16
Let k = 297 - 278. Calculate the remainder when k is divided by 8.
3
Suppose -5*d + 4*o + 214 = -147, -5*o - 68 = -d. Suppose 3*x - d = -13. What is the remainder when x is divided by 8?
4
Let b = -42 + 31. Let a(d) = -d**2 - 13*d - 7. Let h(i) = 2*i - 4. What is the remainder when a(b) is divided by h(4)?
3
Suppose b = -5 - 7. Let q(i) = -4*i - 30. What is the remainder when q(b) is divided by 5?
3
Let m(b) = -12*b - 13. What is the remainder when m(-6) is divided by 33?
26
What is the remainder when (-4 - -9 - -323) + 6 is divided by 56?
54
Calculate the remainder when (-3)/(-15) + 105893/85 is divided by 96.
94
Let z be (-10)/(-3)*18/12. Suppose -26 = z*i - 181. Let c = 48 - i. What is the remainder when 65 is divided by c?
14
Suppose -32*d + 2*d = -1500. Let j = -24 - -50. Calculate the remainder when d is divided by j.
24
Suppose 6*l - 10*l = -4*b - 296, -2*b + 4 = 0. What is the remainder when 600 is divided by l?
68
Let k = -7 - -19. Suppose -k*y + 7*y = -375. Suppose l = 3*u - 8*u + y, 4*l = 20. Calculate the remainder when u is divided by 4.
2
Let x = 163 - 149. Calculate the remainder when 21 is divided by x.
7
Let l(h) = 10*h**2 - 2 - 8*h - 4*h**3 - 2*h**3 - 2*h**3 + 7*h**3. What is the remainder when l(9) is divided by 3?
1
Suppose 10 - 4 = z. What is the remainder when 2/6 - ((-352)/z + 8) is divided by 26?
25
Suppose -14 = -2*s + q, 5*q = 3*s + q - 31. Suppose -6*y + 23 = -s*y. Calculate the remainder when 113 is divided by y.
21
Let q = 1152 + -1137. What is the remainder when 284 is divided by q?
14
Let x be 6*(7/6 + -1). Suppose -2*g - x + 9 = 0. Calculate the remainder when (2 + -5)/(6/(-28)) is divided by g.
2
Suppose -18*n + 20*n - 26 = -2*p, -p - 2*n = -17. What is the remainder when 41 is divided by p?
5
Let y = -7 + 75. Calculate the remainder when 0 + 4 + (y - 3) is divided by 18.
15
Suppose 26*t + 124 = 27*t. What is the remainder when (69/(-92))/((-3)/2)*t is divided by 9?
8
Suppose 0 = 4*k - 4*o - 96, -9*o = -12*o - 21. Calculate the remainder when 8*(5*5 - 2) is divided by k.
14
Suppose 3*k - 6 = 0, 4*b = -2*k - 3*k + 22. Suppose i - 12 = -0*c - 4*c, b*i + 2*c - 36 = 0. Calculate the remainder when 59 is divided by i.
11
Suppose 208*k - 203*k + 15 = 0. Let g = 1 + -4. Calculate the remainder when 31 is divided by k/(-9) - 47/g.
15
Let k = -52 - -119. Let h(x) = -4*x - 5. Let p be h(-5). Suppose p*g - 254 = 256. What is the remainder when k is divided by g?
33
Suppose 3*c + 1258 = 5*x + 5*c, 5*c = -2*x + 520. Calculate the remainder when x is divided by 7.
5
Let d = -307 - -404. What is the remainder when 198 is divided by d?
4
Let k(o) = o**3 - 19*o**2 + 17*o + 30. Let y be k(18). Suppose -r + y = 5*r. Let z = 2 - 1. Calculate the remainder when r is divided by z.
0
Suppose -6*a + 16 = -2*a. Suppose 0 = -w + h + 23, -w - 5*h = a*w - 135. Calculate the remainder when w is divided by 18.
7
Let j(v) = 3*v**2 - 23*v + 39. What is the remainder when j(22) is divided by 19?
16
Let y(a) = a**3 - 14*a**2 - 19*a + 86. Calculate the remainder when 570 is divided by y(15).
24
Let h(q) = 2*q - 8. Let z be h(6). Suppose 0 = f + z*i + 22, -f - 4*f - 158 = -4*i. Calculate the remainder when 44 is divided by f*(3 - 28/8).
14
Let k(r) = -2*r**3 + 7*r + 3. Let c be k(-2). Let f(i) = i**2 - 4*i - 4. Calculate the remainder when 1 is divided by f(c).
0
Suppose -6178 = -2*y - 5850. Calculate the remainder when y is divided by 55.
54
Calculate the remainder when 134 is divided by 4 + -19 + 29 + (0 - 7).
1
Suppose -3*m + 9 = 0, 0*p - 3*m = 3*p - 24. Suppose 4*a + 5*t = 289 - 28, p*a + 4*t = 333. Let l = -39 - -57. Calculate the remainder when a is divided by l.
15
Suppose 2*d + d - 2*v = 67, 2*v + 4 = 0. Let g be 528/7 + (-9)/d. Let k = g + -43. What is the remainder when 63 is divided by k?
31
Let b(w) = 12*w**2 + 3*w + 5. Suppose 3*i - g = 47, -7 = 4*g + 13. What is the remainder when b(-2) is divided by i?
5
Let d = 9 + 2. What is the remainder when 53 is divided by 231/d - (2 + 1)?
17
Calculate the remainder when 40 is divided by (-10 - -2)/(3 - 55/15).
4
Suppose q - 3 = 0, 1134 - 240 = 5*g - 2*q. What is the remainder when 3*g/16 - 2/(-8) is divided by 6?
4
Let j(q) = -q**2 - 22*q + 77. Calculate the remainder when 751 is divided by j(-24).
26
Suppose -8*p = -7*p + 23. Let f = 166 - p. Calculate the remainder when f is divided by 24.
21
Let d = 1424 + -1321. Calculate the remainder when 407 is divided by d.
98
Suppose v = -v. Suppose 5*n + 15 = -v*n. Calculate the remainder when 33 is divided by (-28)/(-2)*n/(-6).
5
Let v(q) = q. Let o be v(3). Suppose -d + 14 = -o*u, -u = -d + 7 + 1. Suppose 2*n = d + 23. What is the remainder when n is divided by 5?
4
Suppose -48 = -6*j + 2*j. Let q be (-58 - -3)*(0 - 1). Let a = q - 20. Calculate the remainder when a is divided by j.
11
Suppose -93 = -2*j + 3*z, -5*j - 5*z + 222 = -2*z. What is the remainder when j is divided by 37?
8
Let k(x) = 2*x**2 + 2*x - 8. What is the remainder when 797 is divided by k(-5)?
29
Suppose -18 = -2*l - 6*c + 2*c, l = 4*c - 9. Suppose 5*b - 1080 = -l*b. Suppose 102 = p + 2*p. Calculate the remainder when b is divided by p.
33
Suppose -7*x + 42 = 7*x. What is the remainder when x is divided by 65/(-25) + 3 + (-6)/(-10)?
0
Let s = -244 - -296. Calculate the remainder when 103 is divided by s.
51
Let k(q) = -q**2 + 21*q - 23. Let i be k(16). Let p = i + -40. What is the remainder when 100 is divided by p?
15
Suppose 38*k = 40*k - 254. What is the remainder when k is divided by 10?
7
Let f = -306 + 323. Calculate the remainder when 19 is divided by f.
2
Suppose -11*z = -17*z + 186. Calculate the remainder when (14/2 + -4)/(3/46) is divided by z.
15
Let a be (0 + (-8)/(-6))*-12. Let c be (12/(-24))/((-2)/a). Calculate the remainder when (-3)/((24/22)/c) is divided by 4.
3
What is the remainder when 123 is divided by (-186)/(-21)*63/18?
30
Let r(f) = -3*f - 1. Let w(b) = -6*b - 2. Let s(u) = 5*r(u) - 2*w(u). Let z be s(-2). Let y = z - 1. Calculate the r