remainder when x is divided by 16.
15
Suppose 5*q - 16 + 1 = 0. Calculate the remainder when 4 is divided by q.
1
Let m = 65 + -44. Calculate the remainder when m is divided by 12.
9
Let t = 313 + -164. Calculate the remainder when t is divided by 38.
35
Suppose 5*m - t = -83, 4*t = 2*t - 4. Let n = -10 - m. Calculate the remainder when 19 is divided by n.
5
Let f(y) = -y**2 - 41*y - 33. Calculate the remainder when f(-14) is divided by 29.
26
Suppose 711 = -7*r + 12*r - 2*g, 2*r - 284 = g. Calculate the remainder when r is divided by 24.
23
Suppose -2*k = 3*s - 21, 3*k - k - 30 = -4*s. What is the remainder when 43 is divided by s?
7
Suppose 206 = 12*c - 250. Calculate the remainder when 75 is divided by c.
37
Let q = 7 - 4. Suppose q*w = -4*x, 0 = 3*w + 2*x - 4*x. Suppose -c + 2*c - 20 = w. What is the remainder when c is divided by 11?
9
Let t = 1 + 2. Suppose -b + t*b - 12 = 0. Calculate the remainder when 7/((-35)/10) - -24 is divided by b.
4
Suppose 0 = p + d + d - 26, 3*d = 5*p - 78. What is the remainder when 50 is divided by p?
14
Let c be (-166)/6 + 3/(-9). Let k = c + 63. Calculate the remainder when k is divided by 12.
11
Let w(t) = t**2 - 7*t + 6. Let u be w(6). Suppose u = -2*b + 36 + 16. Calculate the remainder when b is divided by 7.
5
Suppose 0 = 2*f + 5*z + 119, -5*z = -0*z + 15. Suppose -12*b + 47 = 11. Calculate the remainder when 2/(-5) - f/5 is divided by b.
1
Suppose -3*l = -a - 2, 0*a + 2*a + 2 = 5*l. Let u = a + 17. Suppose -20 = -2*j + 104. What is the remainder when j is divided by u?
20
Suppose -1 = -2*z + 25. Let d(n) be the second derivative of 37*n**5/20 - n**4/12 + n**2/2 + n. Calculate the remainder when d(1) is divided by z.
11
Let n(t) = -6*t - 9. Calculate the remainder when n(-3) is divided by 6.
3
Let y(b) = 7*b + 11. Suppose -w = 5 - 23. What is the remainder when y(6) is divided by w?
17
Let m(i) = i**3 - 3*i**2. What is the remainder when m(4) is divided by 10?
6
Suppose 2*h + 3*d - 19 = 0, -3*h - 6*d = -d - 27. Calculate the remainder when 22 is divided by -12*(3 + h/(-4)).
4
Let d = 219 + -124. Calculate the remainder when d is divided by 24.
23
Suppose 0 = 12*l - 1432 + 448. What is the remainder when l is divided by 17?
14
Let j(u) = -3*u**3 - u**2 - 2. Let f be j(2). Calculate the remainder when (-12)/10*500/f is divided by 7.
6
Let h(s) be the third derivative of s**4/24 + s**2. Suppose -6*u = -u - 10. Calculate the remainder when h(5) is divided by u.
1
Suppose 86 = 7*x - 117. What is the remainder when 113 is divided by x?
26
Suppose 4*m - k - 110 = 0, 0*m + k = 5*m - 138. Suppose 0*t + m = 4*t. Suppose t = 5*x - 38. Calculate the remainder when 25 is divided by x.
7
Suppose 2*w - 22 = d, 5*w - 2*d = d + 57. Calculate the remainder when 436/18 + (-10)/45 is divided by w.
6
What is the remainder when -16 + 16 + (8 - 1) is divided by 5?
2
What is the remainder when -5*(-13)/(325/30) is divided by 5?
1
Let o be 86 + (4 - 3) + -4. Suppose c + o = -2*m + 7*m, -5*m = -3*c - 79. What is the remainder when m is divided by 10?
7
What is the remainder when (-681)/(-15) + (-2)/5 is divided by 24?
21
Suppose -6 = 3*g - 126. Suppose g = y + 2. What is the remainder when y is divided by 10?
8
Let p be (-1)/2 - 7/(-2). Suppose p*z - 35 = 4*i, 3*z + 3*i = -2*z + 97. Suppose 958 = -58*j + 2814. Calculate the remainder when j is divided by z.
15
Suppose -2*f = 3*t - 0*f - 110, -5*t + 3*f + 196 = 0. Calculate the remainder when t is divided by 20.
18
Let u = 1 + 3. Suppose 3*f = f - u. What is the remainder when 16 is divided by f + (1 - 0) - -7?
4
Let c be 0 - 2/(-4)*0. Suppose -h = -2*z + 18, -z = h - c*h - 15. Let t = 45 - 25. Calculate the remainder when t is divided by z.
9
What is the remainder when 23 is divided by (-44)/(-6) + (-6)/(-9)?
7
Let a be -3*((-6)/(-9) - 2). What is the remainder when 2 is divided by (-32)/(-12) + a/(-6)?
0
Suppose -5*c - 19 = 3*j, -5 = 3*c + 5*j - 0*j. Calculate the remainder when c/((-15)/4)*30 is divided by 14.
12
Suppose 3*k - 25 = 29. What is the remainder when 71 is divided by k?
17
Let r(l) = l**3 - 8*l**2 + 3*l + 4. Calculate the remainder when 52 is divided by r(8).
24
Let j = 87 + -72. What is the remainder when 42 is divided by j?
12
Let j be 1/3 + (-52)/3. Let t be (-24)/(-2)*j/2. Calculate the remainder when 33 is divided by ((-6)/18)/(2/t).
16
Let f(c) = c + 3. What is the remainder when 25 is divided by f(3)?
1
Let v(q) = q**2 + 4*q + 3. Let m be v(-3). Suppose 36 = -5*x + 4*k, 5*x + 28 = -m*k + 2*k. Calculate the remainder when 2 is divided by (-8)/12*6/x.
0
Let v = -40 + 70. Let o = -42 - -101. What is the remainder when o is divided by v?
29
Suppose -4*o + 32 = -0*o. Suppose -4 = 2*l - o. Suppose -l*c - 4*r = 3 - 57, 2*r - 58 = -2*c. Calculate the remainder when c is divided by 16.
15
Let p = 71 - -12. Calculate the remainder when p is divided by 29.
25
Suppose -2*g = -2*p - 36, 5*g - 9 - 77 = 3*p. Let n = g - -9. Calculate the remainder when n is divided by 9.
7
Suppose 4*w - 12 = -4. Calculate the remainder when (30/4)/3*2 is divided by (-21)/(-9) - w/6.
1
Let o(f) = -f**2 + 11*f - 6. Calculate the remainder when o(7) is divided by 6.
4
Let u(o) = -o + 12. Let q be u(12). Suppose -4*p + q*p = -80. Calculate the remainder when 79 is divided by p.
19
Let j(x) = -5*x - 13. What is the remainder when j(-9) is divided by 9?
5
Let m(z) = -16*z + 1. Let f = 15 - 16. What is the remainder when m(f) is divided by -1 + 8 - (-1)/(-1)?
5
Let p(v) = v**3 - 15*v**2 + 4*v - 23. Let q = -21 + 34. What is the remainder when p(15) is divided by q?
11
Let g(y) = 64*y**2 + 3*y + 2. Calculate the remainder when g(-1) is divided by 16.
15
Let b(d) = d**3 - 8*d**2 + d + 9. Let z(s) = -11*s**3 - 3*s**2 - s + 1. Let f be z(-2). Suppose f = 3*r - 20. Calculate the remainder when r is divided by b(8).
16
Suppose 5*k - 4 - 21 = 0. Suppose -5*c = 2*d - k*d - 1, 0 = 2*d - 3*c. What is the remainder when d is divided by 1?
0
Suppose 3*z - 197 = 2*f, -4*f - 79 = -z - 0*f. Suppose 0 = 6*x - 3*x + 126. Let h = z + x. Calculate the remainder when h is divided by 11.
10
Suppose 23*b - 354 = 17*b. Suppose 10 + 50 = 4*s. What is the remainder when b is divided by s?
14
Suppose 2*x = 26 + 38. What is the remainder when x is divided by 9?
5
Suppose 0*r = r - 8. Calculate the remainder when r is divided by 3.
2
Calculate the remainder when 674/8 - (-6)/8 is divided by 44.
41
Let q(c) = -16*c**3 - c**2. What is the remainder when -129*(-3)/9*1 is divided by q(-1)?
13
Calculate the remainder when 31 is divided by 57/6 + (-12)/8.
7
Let a = -2 + 5. Let c = a - 9. What is the remainder when 27 is divided by 21/(-1)*2/c?
6
Let z(q) = q**2 - 4*q - 8. Calculate the remainder when 51 is divided by z(7).
12
Suppose p + 3 = -5*j - 5, 3*j = -p. What is the remainder when (34/(-4))/((-1)/4) is divided by p?
10
Let z = 217 - 135. Let l = z - 44. Let o = 38 + -25. Calculate the remainder when l is divided by o.
12
Let i = 105 - 30. Calculate the remainder when i is divided by 19.
18
Suppose 2*q + 5*j - 30 = 0, 0 = -8*j + 3*j - 10. What is the remainder when q is divided by 12?
8
Suppose -3*w + 10 = 4. Let v(y) = -2*y - 4. Let o be v(-3). Let c(j) = -j**3 + 2*j**2 + j - 1. Calculate the remainder when w is divided by c(o).
0
Suppose -2*x + 42 = -6. What is the remainder when 3/2*94/3 is divided by x?
23
What is the remainder when 158 is divided by (-15)/(3 - -2) + 35?
30
Calculate the remainder when 38 is divided by (48/18)/(3/9).
6
Let l be (-12)/(-7) - (-2)/7. Let g be 2/6*9 + 54. Suppose 0 = m + 3*u + 2*u - 9, -l*m = -3*u - g. What is the remainder when m is divided by 13?
11
Suppose 3*t - 46 = -5*r, -3*r - 5*t + 42 = r. What is the remainder when 38 is divided by r?
6
Suppose 5*j - 152 = -12. What is the remainder when j is divided by 2*(-5)/(-8)*8?
8
Let s(a) = 3*a. Let m be 3 + (-3 - (1 + -2)). Let b = -4 - -6. Calculate the remainder when s(m) is divided by b.
1
Suppose 0 = -5*p - y + 269, 5*p - 250 = -5*y + 15. Calculate the remainder when p is divided by 11.
10
Let g(w) = -20*w**3 - w - 1. Calculate the remainder when g(-1) is divided by 8.
4
Calculate the remainder when 142*-1*14/(-28) is divided by ((-3)/(-6))/(2/72).
17
Let u = -14 - -27. Suppose 2*s - r - 34 = -u, 3 = s + r. Calculate the remainder