13 = -5*i. Calculate the remainder when i is divided by 4.
2
Let r = 129 - 55. Suppose 2*v - 50 = r. Calculate the remainder when v is divided by 16.
14
Let x be (87/12)/((-2)/(-16)). Let s be x/6 - (-2)/6. Let p(r) = 9*r + 6. What is the remainder when p(s) is divided by 25?
21
Suppose -73*i + 82*i = 2925. What is the remainder when i is divided by 82?
79
Let m = -17 - -17. Suppose 3 = x - 5*v - m*v, -5*v + 29 = 3*x. What is the remainder when x is divided by 2?
0
Suppose 21*q = 16*q + 790. What is the remainder when q is divided by 27?
23
Suppose 21 = n + 16. Suppose 4*w - 7 = -3*s, 0*s - 43 = -2*s + n*w. What is the remainder when 15 is divided by s?
6
Suppose 9*p - 10*p = -15. Let m = p + -13. Suppose -m*b + 89 - 15 = -2*w, -w + 5 = 0. What is the remainder when b is divided by 9?
6
Calculate the remainder when 45 is divided by -5 - (-20 - 28/(-4)).
5
Let t = -52 + -12. Let r = -27 - t. Calculate the remainder when r is divided by 20.
17
Let o(p) = p**2 + 3*p - 5. Suppose 0 = 77*z - 2*z - 3750. What is the remainder when z is divided by o(-6)?
11
Suppose s - 3*s = -22. Let f = -20 + s. Calculate the remainder when 33 is divided by (-3)/2*102/f.
16
Suppose 5*l - 3*l - 42 = 0. What is the remainder when 30 is divided by l?
9
Let s(y) = y**2 - 11*y + 1. Let b = 1 - 0. Suppose 23 + b = 2*z. Calculate the remainder when 50 is divided by s(z).
11
Let a be (-1)/(27/12 - 2). Calculate the remainder when 66/(1 - a - 3) is divided by 1/(3 - 159/54).
15
Let l = 400 + -365. Calculate the remainder when 119 is divided by l.
14
Let k(s) = -s**3 - 6*s**2 - 5*s + 6. Let a = -32 - -50. Calculate the remainder when a is divided by k(-5).
0
Let c(j) = 10*j - 13. Suppose -32 = -5*z - 3*s + 2*s, -3*z = s - 18. Suppose 4*o = 125 - 9. What is the remainder when c(z) is divided by o?
28
Suppose 5*t - 1262 = 1223. Suppose 6*b - 121 = t. Calculate the remainder when b is divided by 26.
25
Let v be (1 + 2)*-26*1/(-6). Suppose -4*h = 5*c - 50 - v, -2*c + 30 = 4*h. What is the remainder when c is divided by 6?
5
Suppose -10 = -4*f + 2*f. Suppose 0 = -2*h - f*h + 84. Calculate the remainder when 35 is divided by h.
11
Let t(u) = -14*u + 110. Calculate the remainder when 263 is divided by t(7).
11
Let r = -2858 - -2875. Suppose -4*s + 202 = -2*s. What is the remainder when s is divided by r?
16
Let t be ((-20)/6)/((-2)/6). Suppose t = -n - n. Let j(m) = -4*m - 3. What is the remainder when 84 is divided by j(n)?
16
Let v be 0 + 2 + (-3 - -6)/3. Suppose -7 = -m + v*z - 2*z, z + 1 = 0. What is the remainder when 45 is divided by m?
3
Let s(i) = -62*i - 482. What is the remainder when 300 is divided by s(-9)?
72
Let x = -1 + 24. Suppose -51 - 93 = 2*z. What is the remainder when x is divided by (-920)/z + 4/18?
10
Suppose -68*g - 6475 = -93*g. Calculate the remainder when g is divided by 53.
47
Let z(c) = -15*c - 10. Let a = 4 - -7. What is the remainder when z(-2) is divided by a?
9
Let v = 316 + -222. Suppose -75 = -2*c - 5*r, v = 3*c - 3*r - 71. Calculate the remainder when c is divided by (4 + -6)/(-1) + 11.
11
Let b = 40 + -36. Suppose -b*l = -9*l + 170. Let q(a) = a + 4. What is the remainder when l is divided by q(5)?
7
Let d(m) = -m**2 - 10*m + 6. Let t(a) = -a**2 + 16*a - 3. Let z be t(12). Suppose 0 = -9*b + 4*b - z. What is the remainder when 27 is divided by d(b)?
12
Let g = 2544 - 2484. Calculate the remainder when g is divided by ((-1)/3)/(2/(-78)).
8
Let o(v) = -v + 13. Let k be 6*1 + 22/(-11). What is the remainder when 14 is divided by o(k)?
5
Suppose p + 3*p - 3*z - 460 = 0, 5*p - 575 = -5*z. Suppose -p + 11 = -4*u. Calculate the remainder when 100 is divided by u.
22
Suppose -w + 23*w - 748 = 0. What is the remainder when w is divided by 5?
4
Let x(p) = -12*p - 19. Let q = 22 - 10. What is the remainder when q is divided by x(-2)?
2
Suppose -i + 3*f = -28, -i - 4*f + 21 = -0*f. Suppose 0*a + i = a. Calculate the remainder when (-11)/(-99) + (-2212)/(-18) is divided by a.
23
Calculate the remainder when 19 is divided by -9*6/(-9) - -3.
1
Let b = -1294 + 1556. What is the remainder when b is divided by 93?
76
Suppose -u = -4*u + 153. Let n(s) = 4*s + 3. Suppose 0*z - 30 = -5*z. Calculate the remainder when u is divided by n(z).
24
Suppose 2*q - 132 = a - 36, 0 = -2*a - 4. Suppose 4*u - 6 = 5*b + 23, -6 = -u + b. Suppose 2*j - 49 = -u. Calculate the remainder when q is divided by j.
23
Let c be 3 - (5 - -1)*76/(-6). Let m = -32 + c. Calculate the remainder when m is divided by 20.
7
Suppose 5*f - 2*f = 75. Suppose 3*c + h = -h + 6, -3*h - f = -4*c. Suppose -8 = q + 4*v, -7 = -q + c*v + 17. What is the remainder when 23 is divided by q?
7
Let j be (((-48)/7)/8)/(1/(-21)). Let x = j - -14. Calculate the remainder when x is divided by 11.
10
Let a = -19 - -30. Let d be 1224/(-60) - 3/5. Let z = 0 - d. What is the remainder when z is divided by a?
10
Suppose -4*w + 78 = -5*o + 195, 0 = -2*o - 3*w + 33. What is the remainder when o is divided by 7?
0
Let h = 55 + -29. Suppose 3*p + 5*y - 308 = 0, -24*p + 19*p = 4*y - 509. Calculate the remainder when p is divided by h.
23
Let g(a) = 2*a**2 + 14*a + 9. What is the remainder when 217 is divided by g(-8)?
17
Let o be 36/21 - (-2)/7. Let r(p) = 7*p**2 - 2. Let k be r(o). Suppose -5 = -s, -3*c - 4*s = -3 - k. Calculate the remainder when 3 is divided by c.
0
Let v(h) = h**3 - 14*h**2 + 18*h + 4. What is the remainder when 213 is divided by v(13)?
6
What is the remainder when 33/(1 - (-41)/(-44)) is divided by 18?
16
Calculate the remainder when 502 is divided by (-21)/84 - (-3892)/16.
16
Suppose -142 = -6*y + 20. Let t = -54 + 238. Suppose -4*q = t - 496. What is the remainder when q is divided by y?
24
Let r be (-46)/4 - 12/(-8). Let f(n) = -7*n + 23. Calculate the remainder when f(r) is divided by 16.
13
Let w(z) = 2*z**2 - 7 + 3*z + 2*z**2 - 3*z**2. Let j(s) = 4*s - 9. Let p be j(1). Calculate the remainder when 5 is divided by w(p).
2
Let u = 857 + -532. What is the remainder when u is divided by 47?
43
Suppose x + 7 - 12 = -j, 4*x = -j + 11. What is the remainder when (-9)/(-12) - (-73)/4 is divided by j?
1
Suppose 0 = -3*g - l + 173, g = -4*g - 4*l + 279. What is the remainder when g is divided by 21?
17
Let k = 6 + -6. Suppose 5*m - 3*w - 140 = k, -2*w + 0*w = 0. What is the remainder when m is divided by 5?
3
Let s = 49 - 34. Let y be (12/(-9))/(1/s). What is the remainder when (-66)/(-5) + 4/y is divided by 7?
6
Suppose 5*u + 2*u = 826. What is the remainder when u is divided by 15?
13
Let x be (-1769)/(-58) - 1*(-1)/(-2). What is the remainder when 114 is divided by (-116)/(-3) - (-10)/x?
36
Let r = -21 + 30. Let p(d) = d - 1. Let n(s) = -s**2 + 19*s - 18. Let a(b) = n(b) - 6*p(b). Calculate the remainder when 46 is divided by a(r).
22
Let p(w) = w**2 - 5*w - 50. Calculate the remainder when p(-15) is divided by 86.
78
Let j be 2 - (-3 + 7)/(-4). Suppose 0 = -k - 3*p - 10, -j*p - 1 - 14 = 0. What is the remainder when (-4)/(-3)*-2*-3 is divided by k?
3
Calculate the remainder when 34 is divided by ((-6)/4)/(6/(-92)).
11
Let l = 241 - 216. Calculate the remainder when 121 is divided by l.
21
Let p = -595 + 650. What is the remainder when p is divided by 23?
9
Let y(q) = -18*q**3 + 2*q**2 - 3*q - 2. What is the remainder when 74 is divided by y(-1)?
11
Let r(v) = 17*v + 187. Let a(l) = 6*l + 62. Let b(t) = -8*a(t) + 3*r(t). What is the remainder when b(0) is divided by 34?
31
Let y be -4 - (-8)/4 - 28. Calculate the remainder when 29 is divided by (y/(-4))/((-1)/(-2)).
14
Suppose 0 = -3*l - 5 + 17. Suppose l*y = -0*y + 12. Suppose 5*k = -5*i - 5 + 25, -3*k + 5*i + 12 = 0. What is the remainder when k is divided by y?
1
Suppose -9*p - 4*q = -5*p - 60, 5*q - 35 = -p. What is the remainder when 39 is divided by p?
9
Let p(g) be the first derivative of g**3/3 - 13*g**2/2 + 15*g + 6. What is the remainder when p(16) is divided by 11?
8
Let r(b) = -b**3 - 8*b**2 + 7*b. Let d(u) = u - 8. Let g be d(4). What is the remainder when r(-9) is divided by 6 + g/1 - -2?
2
Let s(w) = -w**2 + 5*w - 8. Let i be s(-6). Let l = i - -91. Calculate the remainder when 50 is divided by l.
16
Suppose -272 = -3*c + 34. Let y(h) = -11*h + 14. Let g be y(5). Calculate the remainder when c is divided by (-1 - (51 + 0))/(-43 - g).
24