der when (-15)/(-9) - (-1)/3 is divided by i(5).
0
Let r = 151 + -85. Suppose -4*l + 2*i + r = 0, 0*i + i + 1 = 0. Suppose -2*u + 5*u = 18. What is the remainder when l is divided by u?
4
Calculate the remainder when -1 - (3 - 93/3) is divided by 15.
12
Suppose -l = 5*k + 14 - 0, -5*l + 14 = 4*k. Suppose d - 2 = -0. What is the remainder when l is divided by d?
0
Suppose 9*y + 5 = -3*w + 4*y, y + 8 = -2*w. Calculate the remainder when 130 is divided by (-164)/(-5) - 1/w.
31
Suppose -13*n = -8*n - 60. Calculate the remainder when 47 is divided by n.
11
Suppose -i + 0*i = -62. Let d = i - 3. Let m = -439 - -459. What is the remainder when d is divided by m?
19
Let s = -23 - -36. Let t(b) = 2*b + 12. What is the remainder when t(s) is divided by 13?
12
Suppose 0 = -0*u + 8*u - 272. Calculate the remainder when 97 is divided by u.
29
Suppose 14*w - 232 - 132 = 0. Calculate the remainder when w is divided by 17.
9
Let p(z) = z**2 + 11*z + 2. What is the remainder when p(-12) is divided by 5?
4
Let q = -33 + 91. What is the remainder when q is divided by ((-60)/(-14))/(48/224)?
18
Suppose -4*y = -3*y - 3. What is the remainder when 10 is divided by y?
1
Let y(l) = -l**2 + 7*l - 3. What is the remainder when 17 is divided by y(3)?
8
Let v(b) = b**2 - 12*b + 2. Let w be v(6). What is the remainder when w*(3 + 21/(-6)) is divided by 10?
7
Suppose -3*u + 4 + 2 = 0. Suppose u*i - 4*i = -2. Suppose 4*l = -i + 9. Calculate the remainder when 5 is divided by l.
1
Suppose 0 = 3*r + 8 - 41. Calculate the remainder when 40 is divided by r.
7
Suppose 2*s + 3 = 3*s - 2*q, -q = -4*s + 19. Suppose s*n + 4 - 14 = 0. Calculate the remainder when n is divided by 2.
0
Suppose -7 - 6 = -4*d - r, d - 17 = -3*r. Suppose 0 = i + 2*t + t - d, 26 = 4*i + 3*t. Suppose -4*c + 2*c = -60. Calculate the remainder when c is divided by i.
6
Let w(c) = 5*c**3 - 2*c**2 - 4*c + 5. Let v(i) be the second derivative of 3*i**3/2 - i**2 + i. What is the remainder when w(2) is divided by v(2)?
13
Suppose 0 = 7*c - 8*c + 101. Calculate the remainder when c is divided by 31.
8
Let b(o) = o**3 - 8*o**2 - 8*o + 6. Let j be b(8). Let x = -38 - j. What is the remainder when 44 is divided by (3/(-2))/((-2)/x)?
14
Suppose -3*n = -170 - 82. What is the remainder when n is divided by 17?
16
Suppose 609 = 4*i + 3*i. Calculate the remainder when i is divided by 23.
18
Suppose 0 = w + 10*w - 1034. What is the remainder when w is divided by 24?
22
Let x be 1190/(-25) + (-6)/(-10). Let a = -31 - x. Calculate the remainder when 30 is divided by a.
14
Let o = -55 - -74. Calculate the remainder when o is divided by 2.
1
Suppose w + 4*c = 46 - 11, -4*w = -2*c - 86. Let i = -45 - -89. Calculate the remainder when i is divided by w.
21
Calculate the remainder when 66 is divided by (-2)/3 + (-923)/(-39).
20
Suppose -33 = -2*a + f, 4*a - 3*a - 3*f = 24. Let k(c) = 5*c**3 + 2*c**2 - 3*c. Calculate the remainder when k(2) is divided by a.
12
Suppose -5*g = -3*r - 99 - 16, -5*g + r + 125 = 0. Calculate the remainder when 181 is divided by g.
25
Let z(f) = 14*f**2 - f + 1. Let y be 0 + 2 + 0 + -1. Let k be z(y). What is the remainder when 34 is divided by (7/(k/36))/1?
16
Let r(k) = -k**2 - 9*k - 5. Let l be r(-5). Let v = -4 + l. What is the remainder when (-2 - -3)/((-1)/(-21)) is divided by v?
10
Let l = -23 - -37. What is the remainder when 68 is divided by l?
12
Let n be 11/44 + (-231)/(-4). Suppose -2*s - 3*s + n = -4*q, 5*s - q = 52. What is the remainder when 37 is divided by s?
7
Let k(d) = -60*d - 1. Let u(j) = -59*j. Let a(w) = 4*k(w) - 5*u(w). Let i be a(4). Suppose 32 - i = -4*c. Calculate the remainder when c is divided by 16.
14
Let b(y) be the third derivative of -y**6/120 + y**4/24 + 5*y**3/2 - 2*y**2. What is the remainder when 28 is divided by b(0)?
13
Let f be 5*1*(-140)/(-25). Suppose -p = -5*p + f. Suppose -d + 2*d - 4 = 0. What is the remainder when p is divided by d?
3
Let h(k) = -3*k + 3. Suppose 5*m - 31 = 4*z, 5*z = 4*m - m - 16. Let l be h(m). Let p = -4 - l. What is the remainder when p is divided by 5?
4
Let l(t) = -t**3 - t**2 - 2*t + 7. What is the remainder when 18 is divided by l(0)?
4
Suppose 12 = 5*u - 23. Let p(o) = o**2 + 2*o + 0*o - 2 - 5*o. What is the remainder when p(u) is divided by 14?
12
Suppose 0 = v + 4*v. Let q be -1 - (2*-1 + v). What is the remainder when -1 + 23/1 - q is divided by 11?
10
Suppose -m = -0*m - 2*s - 43, -2*m + 86 = 3*s. Suppose 5*v - 5*z = 59 + 1, 0 = -3*v - 4*z + 57. Calculate the remainder when m is divided by v.
13
Calculate the remainder when 774/7 - (-1 - 33/(-21)) is divided by 16.
14
Let z be 121/7 - (-10)/(-35). Let a = z + -13. Let k(c) = c**2 + 7. Calculate the remainder when k(0) is divided by a.
3
Let k(l) = -l**2 + 8*l - 8. Suppose 6*g + 22 = 58. What is the remainder when 11 is divided by k(g)?
3
Let s = -4 - -4. Suppose s = -y - 3*y - 2*j + 136, 102 = 3*y + 5*j. Calculate the remainder when y is divided by 9.
7
Let m(n) = n**3 - 5*n**2 + 4*n. Let v(o) = -5*o**2 + o. Let b be v(4). Let k be b/(-16) + 2/8. What is the remainder when m(k) is divided by 11?
9
Let g(q) = 4*q - 4. Let h(f) = 4*f**3 + 2*f**2 - f. Calculate the remainder when h(2) is divided by g(6).
18
Let w = 1 + -1. Suppose -b - 115 = -5*q, 0*q - q - 4*b + 23 = w. What is the remainder when q is divided by 12?
11
Suppose 3*s = -3*l + 27, -30 = -3*l - s - 3*s. Let i be 66/4 + 3/l. Suppose 0*w = w + 2*o - i, o = 3*w - 30. Calculate the remainder when 30 is divided by w.
8
Suppose -4*t + 7 + 21 = 0. What is the remainder when t is divided by 4?
3
Let p be (4/8)/((-1)/(-10)). Suppose 2*c - 5*u = 12, -p*c + 0 = -3*u - 11. Calculate the remainder when 1 is divided by c.
0
Let x = 1 - -1. Suppose 3*r = 4*g + 5, -2*r = r + x*g - 11. Calculate the remainder when 59 is divided by (r + -1)/(2/20).
19
Let g(j) = j**2 + j - 1. Calculate the remainder when 13 is divided by g(-3).
3
Let q = -46 + 86. Suppose q = 2*y - 0*y. Calculate the remainder when 28 is divided by (-78)/(-8) - (-5)/y.
8
Calculate the remainder when (-17)/68 - 426/(-8) is divided by 18.
17
Let y = 9 - 5. Suppose -2*t - 284 = -4*v, -y*t = v - 45 - 44. What is the remainder when v is divided by 25?
23
Let l(h) = -10*h**3. Suppose b + 27 = 4*w, 4*w + 7*b = 2*b + 9. What is the remainder when l(-1) is divided by w?
4
Suppose 3*b - y = 20 + 25, b - 8 = -2*y. Let h be (-26)/(-2) + 3*1. Let r = h - -10. Calculate the remainder when r is divided by b.
12
Let m = 28 - 10. Suppose 4*q = 3*n + 20, q + n + m = -4*n. Calculate the remainder when (-5)/(-3)*(-15)/(-5) is divided by q.
1
Suppose 0 = 3*t - 20 - 19. What is the remainder when t is divided by 4?
1
Let r be (-1 - -2)*(0 - 9). Let x = 15 + r. Let s(k) = k**2 - k + 1. What is the remainder when s(x) is divided by 16?
15
Let s(m) = -m**3 + 5*m**2 - 9. What is the remainder when 24 is divided by s(4)?
3
Suppose -w - 58 = -2*w. What is the remainder when (w/6)/(7/21) is divided by 15?
14
Let u(d) = 2*d - 11. Let n(o) = -o**3 + 6*o**2 - 6*o - 5. Let a be n(5). Calculate the remainder when u(8) is divided by a*(-3)/6 - 3.
1
Let k be (868/8)/(-7)*2. Let x = -13 - k. What is the remainder when 35 is divided by x?
17
Let n = -18 - -25. Let y = -11 + n. Calculate the remainder when 40 is divided by (-110)/(-8) + y/(-16).
12
Let k = 31 + 1. Suppose -34 = 4*x - 102. Calculate the remainder when k is divided by x.
15
Let p(q) = 3*q**3 + 9*q**2 - 11*q + 13. Let k(r) = 2*r**3 + 5*r**2 - 6*r + 7. Let g(o) = -11*k(o) + 6*p(o). What is the remainder when g(-2) is divided by 16?
13
Let v(y) = 3*y - 5. What is the remainder when 6*1 - (12 + -31) is divided by v(4)?
4
Let k(i) be the first derivative of 2*i**3/3 - i**2 - i - 3. Calculate the remainder when 18 is divided by k(3).
7
Suppose -207 = -5*u + 2*z + 218, -323 = -4*u + 5*z. Calculate the remainder when u is divided by 23.
18
Let u = -328 - -471. What is the remainder when u is divided by 24?
23
Let r be 3/(-9) + (-637)/(-21). Calculate the remainder when 6/r - (-608)/10 is divided by 21.
19
Calculate the remainder when 15 is divided by (-24)/36 - 26/(-3).
7
Let q = -36 + 118. What is the remainder when q is divided by 43?
39
Calculate the remainder when (-939)/(-15) - 9/15 is divided by 23.
16
Let h(p) = p**2 - 4*p + 12*p + 0*p**2