0. What is the remainder when k is divided by i?
3
Let m = 63 - 36. Suppose -4*u + 60 = -6*n + 7*n, -n = -4. Calculate the remainder when m is divided by u.
13
Suppose q = 5 - 2. Suppose -5*a - 4*c + 18 = 0, 3*c - 2 = -q*a + 5*a. Suppose -25 = -a*w - 3*w. Calculate the remainder when 19 is divided by w.
4
Let b(o) = -o**2 + 6*o - 4. Let n be b(3). Let w = n + 13. Calculate the remainder when 35/(-2)*(-4 + 2) is divided by w.
17
Let l(r) = 2*r**2 + 8*r + 6. What is the remainder when (12/(-42))/(6/(-3003)) is divided by l(-7)?
47
Suppose -2*u + 324 = -176. Suppose -6*l + u = -l. Let n = -80 - -93. Calculate the remainder when l is divided by n.
11
Let h = 1824 + -1658. Calculate the remainder when h is divided by 43.
37
Suppose 0 = 5*u + 3*u + 264. Let x = u - -63. What is the remainder when 116 is divided by x?
26
Let m(g) = 15*g + 7. Suppose -2*j = -r + 12, 0 = 5*r - 4*j - 27 - 3. Suppose -r*o - 3*o + 15 = 0. Calculate the remainder when m(o) is divided by 11.
8
Suppose 2*b = 3*b - 6. Suppose -2*j - 26 = i, -2*i - b = i. What is the remainder when (84/(-8))/(2/j) is divided by 16?
15
Let w be ((-6)/(-4))/((-6)/16). Let q(s) = s**2 - s - 7. Calculate the remainder when q(w) is divided by 5.
3
Let x(p) = p**3 + 8*p**2 + 3*p + 6. Let i be x(-4). Suppose 5*a - i = -13. Calculate the remainder when 53 is divided by a.
8
What is the remainder when (1783 + -1)/2 + 69 + -65 is divided by 28?
27
Suppose -12 = -3*r, -k - 31*r + 43 = -27*r. What is the remainder when 1833 is divided by k?
24
Suppose 79 = d - 81. Calculate the remainder when d is divided by 11.
6
Let s(i) = -5*i**3 + i**2 + 2*i + 1. Let c be s(-1). Suppose 0 = 4*n + 4, 0 = c*u - 5*n + 86 - 251. Calculate the remainder when u is divided by 17.
15
Calculate the remainder when 77 is divided by 27 - (-5 + -1 + 5).
21
Suppose 5*u - v - 2 = v, 3*v = 4*u + 4. Suppose -4*g - 5 = -33. Suppose f - g + 5 = 0. What is the remainder when f is divided by u?
0
Let i = 4 + 3. Suppose 0 = i*j + 13 - 48. Suppose -2*f = j*m + 2 - 1, 4*f = m + 9. Calculate the remainder when 2 is divided by f.
0
What is the remainder when (-5)/(-12)*-9*152/(-6) is divided by 77?
18
Suppose 2 + 2 = u. Calculate the remainder when (1*-7)/(-28 + 27) is divided by u.
3
Let z be ((-4)/1 - 3)*4/(-14). Calculate the remainder when (10/(-15))/(z/(-123)) is divided by 7.
6
What is the remainder when 219 is divided by 31 - -7*(-99)/77?
21
Let q = -208 - -237. Calculate the remainder when q is divided by 42/4 - 2/(-4).
7
Let u(m) = 5*m**3 - 2*m**2 - 2. Let y be u(2). Let q = y + -16. What is the remainder when q is divided by (-2)/(-7) + 216/28?
6
Suppose 4*f = -3*h + 124, 147 = 5*h - f - 29. Suppose 2*k + 4 = h. What is the remainder when 59 is divided by k?
11
Let k(i) = i**3 - 39*i**2 + 20*i + 759. Calculate the remainder when k(38) is divided by (-3 + (13 - -1))*1.
9
Suppose 9*f - 5*f = -2*k + 532, 0 = 2*k + 8. Suppose -5*x = 5*v - 95, 3*v - 34 = x - 3*x. What is the remainder when f is divided by x?
20
Suppose -38*a + 43*a - 10 = 0. Suppose 2*g - 6*g + 47 = 5*h, -6 = -a*h. Calculate the remainder when 38 is divided by g.
6
Suppose 2*x - 2*d + 49 = 5*x, -2*x + 24 = -3*d. What is the remainder when 40 is divided by x?
10
Suppose -26*t + 1463 = -7*t. Calculate the remainder when t is divided by 12.
5
Let g(w) = -w**3 - 8*w**2 + w - 1. Let f be g(-8). Let k(n) = -2*n + 8. Suppose -51 = -0*a - a. What is the remainder when a is divided by k(f)?
25
Let m be (-123)/(-6) - (-2)/4. Let i(t) = 3*t**2 - 26*t - 3. Let u be i(9). Suppose 267 = u*q + m. What is the remainder when q is divided by 21?
20
Suppose 4378 + 517 = 11*c. What is the remainder when c is divided by 28?
25
Let c = -61 - -125. What is the remainder when 81 is divided by c?
17
Suppose 0 = -2*z - 4, -z + 2514 = -3*n + 7*n. What is the remainder when n is divided by 21?
20
Let k(a) = 9*a - 10 + a**2 - 12 + 4 + 0. Calculate the remainder when k(-13) is divided by 9.
7
Suppose 2*w - 100 = 2. Calculate the remainder when w is divided by -227*(-2)/30 + 10/(-75).
6
Let s = -1680 + 1683. Calculate the remainder when 241 is divided by s.
1
Let q(z) = -4*z**2 + 11*z + 9. Let x be 4 + ((-2)/2)/1. Let n(l) = -l**2 + l. Let h(y) = x*n(y) - q(y). Calculate the remainder when 32 is divided by h(10).
10
Let s(g) = 3*g + 9. Let b be s(12). Let l be (36/b)/((-4)/30). Let u = -3 - l. Calculate the remainder when 6 is divided by u.
0
Suppose 5*a - 145*f + 142*f - 121 = 0, -4*a + 2*f + 96 = 0. What is the remainder when 87 is divided by a?
18
Suppose 6210 = j + 4*j. Calculate the remainder when j is divided by 83.
80
Let x = -374 - -474. What is the remainder when x is divided by 49?
2
Suppose 3*q = 3*k - 24, 2*k = -4*q + 13 - 69. Let v(j) = -j + 1. Let z(r) = -5. Let w(y) = 2*v(y) + 3*z(y). Calculate the remainder when 30 is divided by w(q).
8
Let u(b) = -b**2 + 12*b + 29. Suppose 10 = 2*v, -k + 66 = -3*v + 7*v. Calculate the remainder when k is divided by u(13).
14
Let w(z) = 4*z + 36. Let c be w(-6). Let l(h) = -h**2 + 13*h + 7. What is the remainder when 35 is divided by l(c)?
16
Let f be (1*(-3 - -2))/((-4)/20). Suppose 0 = 2*n + f*g - 166, g + 148 = 3*n - 84. What is the remainder when n is divided by (-2)/(-8) - 318/(-8)?
38
Suppose -3*s + 4*n = -130, -4*s - 70 = -5*n - 245. What is the remainder when s is divided by 19?
12
Suppose -5*u + 2*u = -60. Let j = 402 + -143. Suppose -i - 6*i = -j. What is the remainder when i is divided by u?
17
Let s(l) = -l - 1. Let r be s(-5). Suppose 0*p - 5*p + 3*m + 126 = 0, 5*p = -r*m + 147. What is the remainder when p is divided by 7?
6
Suppose -242*a + 246*a = -4*o + 476, -a - 4*o + 131 = 0. Calculate the remainder when a is divided by ((-5)/10)/((-1)/58).
28
Let z(t) = -9*t**2 + 9*t + 2. Let k be z(4). Let a = k + 115. What is the remainder when 141 is divided by a?
6
Suppose 203 = 792*v - 785*v. What is the remainder when 95 is divided by v?
8
Let q be (-583)/33 + (-4)/(-6). Calculate the remainder when (-34)/(-4) - 1/2 is divided by ((-45)/7 - -6) + q/(-7).
0
Suppose 9*c = -57 + 309. Calculate the remainder when 278 is divided by c.
26
Let a = -38 + 65. Suppose 3*k - 14 = -2*u, -7 + a = -4*u. What is the remainder when k is divided by 2?
0
Let j(c) = 6*c**3 - 1. Let y be j(1). Suppose -2*z + 0*b + 42 = -2*b, -y*z = -3*b - 115. What is the remainder when z is divided by 4?
2
Let s(d) = d**2 - 17*d - 25. Suppose -2*u + 4*m = -18, 0 = -3*u + u + 2*m + 28. What is the remainder when 50 is divided by s(u)?
11
Let p = 303 + -201. Calculate the remainder when p is divided by 22.
14
Let b(c) = -30*c - 46. Calculate the remainder when 139 is divided by b(-4).
65
Suppose -616 = -4*q - p - p, -5*q = -4*p - 757. Suppose 0*g - 13*g - 1300 = 0. Let l = q + g. Calculate the remainder when l is divided by 14.
11
Suppose n - 3*n = 4, -3*l + 221 = 2*n. Suppose 2*d + l = 5*d. What is the remainder when 101 - (-4)/(-2) - 1 is divided by d?
23
Let c(k) = -k**2 + 23*k + 12. Let z be c(14). Suppose 328 = -134*f + z*f. Calculate the remainder when f is divided by 42.
40
Suppose 5*l + 258 = 2*s, 175 = 4*s + 4*l - 369. What is the remainder when s is divided by 47?
40
Suppose 42*m = 32*m + 70. What is the remainder when 80 is divided by m?
3
Calculate the remainder when 333 is divided by (-1448)/(-64) + 6/16 + 0.
11
Suppose 3*g - 3 - 66 = 0. Let m(z) be the third derivative of z**5/30 - z**4/12 + 7*z**3/6 + 7*z**2. Calculate the remainder when m(7) is divided by g.
22
Suppose 3*p - 91 - 173 = 0. Let x = p + -66. Calculate the remainder when 129 is divided by x.
19
Let h = 81 - 72. What is the remainder when 132 is divided by h?
6
Calculate the remainder when 20 is divided by (-1)/1 + 25/30*6.
0
Let l = 33 + 27. Suppose -23*a + 20*a + l = 0. Calculate the remainder when 78 is divided by a.
18
Suppose 0 = 8*p - 7*p - 2. Suppose 2*h - 5*h = -90. Calculate the remainder when h is divided by p*16/(3 - -1).
6
Let u = 64 - 39. Suppose 0 = g + 2*g - 33. Calculate the remainder when (3*6)/(g/44) is divided by u.
22
Calculate the remainder when 96 is divided by 6 + 0/1 + 14.
16
Suppose 38*h + 57 = 513. What is the remainder when 41 is divided by h?
5
Let y(w) = 23 - w - 20 - w. Suppose o - 25 = 6. What is the remainder when o is divided by y(-4)?
9
Let u = 2 - 11. Let d = -15 -