 a. Calculate the remainder when d is divided by n.
2
Let n = 19 + -6. Suppose -4*h + 294 = 2*h. Calculate the remainder when h is divided by n.
10
Let t = 45 - 23. Calculate the remainder when t is divided by 9.
4
Suppose 0 = 4*i - 26 - 90. Calculate the remainder when 115 is divided by i.
28
Suppose 5*p + 2*p - 161 = 0. Calculate the remainder when 68 is divided by p.
22
Suppose 4 = -2*r - 8. Let i = r + 9. Calculate the remainder when i is divided by 2.
1
Calculate the remainder when ((-13)/(-39))/(2/90) is divided by 5.
0
Let l(m) = 10*m + 1. Calculate the remainder when l(2) is divided by 4.
1
Let b = -3 - 2. Let i(w) = w**3 + 4*w**2 - 8*w - 4. Suppose 3*x + l = 100, -3*x - 3*l = x - 140. Calculate the remainder when x is divided by i(b).
10
Let v(l) = -l + 74. Calculate the remainder when v(0) is divided by 22.
8
Let q(b) = b**2 + 9*b - 15. Calculate the remainder when q(-11) is divided by 2.
1
Suppose 0 = z + 1, -4*n - z + 199 = 4. What is the remainder when n is divided by 13?
10
Let n = -19 - -31. Suppose 0 = 3*r + 1 - 64. Calculate the remainder when r is divided by n.
9
Suppose 0 = -x - 3*x + 8. Suppose 4*o - 5*o = 2*p + 5, 20 = x*o - 2*p. Suppose 0 = o*c - c - 40. Calculate the remainder when c is divided by 6.
4
Suppose -4*l - t + 58 = 0, 5*l - 91 + 22 = -3*t. Let v(r) = -r**3 - 6*r**2 - 6*r - 8. What is the remainder when v(-6) is divided by l?
13
Let v(f) = -2*f - 2. Let x be v(8). Let b = 32 + x. What is the remainder when b is divided by 5?
4
Suppose -16 = -2*m - 2*m. Suppose j + 1 = 2*s - 2, -s = 5*j - 7. Suppose s*t - 12 = -2*t. Calculate the remainder when m is divided by t.
1
Suppose -4*d = -2*p - 94, -d - 3*p = 2*d - 93. Calculate the remainder when d is divided by 9.
8
Let f = 31 + -26. Let y = 6 + 7. What is the remainder when y is divided by f?
3
Let n = -61 - -86. Let k = -171 + 178. What is the remainder when n is divided by k?
4
Let y be 3*(-1)/(-6)*8. Let x(p) = 8*p - 3. Calculate the remainder when x(y) is divided by 10.
9
Let y(h) be the first derivative of -h**2/2 + 3*h + 1. Let i be y(4). What is the remainder when (-37 - -1)/(-2) - i is divided by 10?
9
Let d = -10 - -16. Suppose 0 = -3*t, 3*r - d = 4*r + 4*t. Let x(y) = -12*y - 2. Calculate the remainder when x(r) is divided by 24.
22
Let c = 16 + -10. Let r be (-1 - -17)/((-4)/(-16)). Suppose o = 3*v + 11, 2*o - 2*v = -2*o + r. Calculate the remainder when o is divided by c.
5
Let m(r) = 17*r - 35. What is the remainder when m(4) is divided by 6?
3
Let w(h) = h**2 - 7*h + 3. Suppose 5*i + 55 = 215. Suppose k = -3*k + i. What is the remainder when w(k) is divided by 6?
5
Let r be 2/6 + (-755)/15. Let x = -31 - r. Calculate the remainder when x is divided by 7.
5
Let y be 1/((-4)/(-8)) + 31. Let q = 47 - y. What is the remainder when 39 is divided by q?
11
Suppose -3*w - 25 + 115 = 0. What is the remainder when w is divided by 10?
0
Suppose 2*x - 3*b + 46 = -7*b, -5*b = 3*x + 64. Let w = x - -23. Calculate the remainder when 28 is divided by w.
8
What is the remainder when 7 is divided by (-9)/(-2 - 1)*1?
1
Suppose -2*m + 3*m = 7. Suppose -2*l - 150 = -m*l. Suppose 0 = -5*t - g + l, -2*t + 4*g - 4 + 38 = 0. What is the remainder when 12 is divided by t?
5
Suppose -139 - 56 = -15*d. Calculate the remainder when 34 is divided by d.
8
Suppose x + r + 14 = -0, 3*x + 14 = 4*r. Let u = 2 - x. What is the remainder when (-1 - 1) + 36/1 is divided by u?
10
Suppose 0 = -4*m + m. Let v = 17 + -5. What is the remainder when -3 - (-38 + 1) - m is divided by v?
10
Suppose 7*h = -4*h + 297. What is the remainder when 74 is divided by h?
20
Suppose 130 = -5*n + 855. Suppose -n + 22 = -3*m. What is the remainder when m is divided by 11?
8
Let y = 1 - 1. Let n be ((y + 0)/2)/(-2). Suppose 5*u - 2*l - 40 = n, 5*u + 3*l - 13 = 2. Calculate the remainder when 11 is divided by u.
5
Suppose 2*k + 3 = 3*k. Let p be (-2 - -3)*-1 + 16. Suppose k*s = -0*s + p. Calculate the remainder when 13 is divided by s.
3
Suppose 19 = 3*u - 62. What is the remainder when 105 is divided by u?
24
Suppose -2*s = -4*y + 176, 2*y - 2*s = s + 80. What is the remainder when y is divided by (-1)/(1/12*-1)?
10
Suppose 3*l = 0, 0*m + 2*l = -5*m + 45. Calculate the remainder when 32 is divided by m.
5
Let l be (-5)/(-2) - (-1)/2. Let b(d) = 8*d**2 + 5 - d**2 - 2 + l*d - 1. Calculate the remainder when b(-2) is divided by 13.
11
Let x(m) = 2*m + 1. Suppose 0 = 3*f - 5 - 4. Suppose -c + 2 = -f. Calculate the remainder when 31 is divided by x(c).
9
What is the remainder when 31 is divided by (-123)/(-11) - 4/22?
9
Calculate the remainder when 41 is divided by (4 - 35/(-5))*1.
8
Suppose 4*o - 190 = 94. What is the remainder when o is divided by 36?
35
Let u = -6 - -8. Suppose -u*z = -z - 17. Let t(c) = -7*c + 30. Calculate the remainder when z is divided by t(3).
8
What is the remainder when (-13 - -12) + 33/1 is divided by 12?
8
Let i(z) = 5*z - 3*z + z**2 - 4*z + 3*z - 2. Let j be i(-3). Suppose 0 = -4*a + j*l + 180, 4*a - 194 + 34 = -l. Calculate the remainder when a is divided by 14.
13
Suppose 14 = 2*z + 4*j, 4*z = -5*j + 3 + 25. Let m(s) = 3 - 6*s + 2 + 10*s**2 - s**3 - 2*s**2. What is the remainder when 35 is divided by m(z)?
11
Suppose 3 = s + 1. Let j be (s/(-3))/(3/(-9)). Suppose 5 = -j*t + 3*t. What is the remainder when 17 is divided by t?
2
Suppose -z + 10 = 2*f - 36, 0 = -z + 5*f + 11. Let a = z - 21. What is the remainder when 57 is divided by a?
12
Let f = -8 + 13. Let n(s) = -s**2 + 9*s - 3. Calculate the remainder when n(f) is divided by 6.
5
Calculate the remainder when 3 - (4 + 0)*98/(-56) is divided by 4.
2
What is the remainder when 31 - ((-5)/(-3) - 1/(-3)) is divided by 5?
4
Let s = 49 + -34. What is the remainder when s is divided by 4?
3
Let y(m) = 10*m**2 + m. Suppose 0 = 5*b - 10 - 10. Suppose -24 = b*n - 68. What is the remainder when y(2) is divided by n?
9
Let y(i) = i. Let g be y(4). Suppose 2*n - g*k = 3*n - 28, k + 3 = n. What is the remainder when 22 is divided by n?
6
Let j(o) = o**2 - 3. Let y(m) = -2*m + 1. Let r be y(-2). Suppose r*f - 26 + 6 = 0. Calculate the remainder when j(f) is divided by 7.
6
Let f(o) = o**2 - 3*o - 2. Let g be f(4). What is the remainder when (-1 - g)/(6/(-164)) is divided by 17?
14
Let p = 250 + -172. What is the remainder when p is divided by 27?
24
Suppose 3*f + 2*v = -2*f + 87, -2*v + 2 = 0. What is the remainder when 65 is divided by f?
14
Suppose n = -5*v - 19 - 6, -10 = 4*n + 2*v. Let o be (-1 + 1)*(n + -1). Suppose -2*l + o*l + 20 = 0. What is the remainder when 28 is divided by l?
8
Let y(i) = i**3 + 8*i**2 + 2*i + 10. Let a be y(-8). Let t = 9 - a. Calculate the remainder when t is divided by 8.
7
Let f(j) = 2*j**2 + 5*j - 2. Let q be f(-4). Suppose -r + q = r. Let z(i) = i**2 + 2*i + 2. Calculate the remainder when z(r) is divided by 13.
11
Suppose 2*l + 15 = 5*l. Suppose -3*u = -12, -5*z - l*u = -3*z - 110. Let g = z - 26. Calculate the remainder when 37 is divided by g.
18
Let a = 44 + -24. Suppose -3*l + l + 4*u + 98 = 0, -3*u = -2*l + 102. Calculate the remainder when l is divided by a.
17
Let h = 6 - 3. Suppose 16 + h = y. Let f = -64 - -101. What is the remainder when f is divided by y?
18
Suppose c = 5*c - 5*b + 13, 0 = b - 5. Suppose -3*t - c*s + 87 = 0, 0 = 5*t + 4*s - 0*s - 140. What is the remainder when t is divided by 13?
11
Let h(w) = w**3 - 7*w**2 + 2*w + 1. Let t be h(3). Suppose -2*s + 3 = s. Calculate the remainder when (-1 - (s + -1))*t is divided by 10.
9
Calculate the remainder when ((-13)/(-39))/(-1 - (-152)/150) is divided by 7.
4
Let p = 70 + -45. What is the remainder when p is divided by 5?
0
Suppose 0 = j - 4*a + 2*a - 21, -5*a = -5*j + 105. Suppose 244 = 130*b - 126*b. What is the remainder when b is divided by j?
19
Calculate the remainder when 7*(-3 - (-705)/35) is divided by 41.
38
Let q(m) = m**2 - 12*m - 16. Calculate the remainder when q(15) is divided by 15.
14
Calculate the remainder when (-1)/(-7) - 1364/(-7) is divided by 49.
48
Let n(s) = 4*s**2 - 13*s - 1. Calculate the remainder when 32 is divided by n(4).
10
Let m = 12 - -21. What is the remainder when m is divided by 18?
15
Let m = -2 + 5. Suppose i + 3*l = m, -15 = -2*i - l + 4*l. Suppose 0 = 2*y - i*y + 12. Calculate the remainder when y i