17
Let s = 28 - 12. Suppose s + 44 = -3*g. Let h = g + 32. What is the remainder when 34 is divided by h?
10
Let a = 147 - 97. Suppose 3*h - 1 = -3*k + a, -2*h - 5*k + 37 = 0. What is the remainder when h is divided by 9?
7
Suppose 3*c - 182 = -10*c. What is the remainder when 97 is divided by c?
13
Suppose 3*x - 168 = -x. Calculate the remainder when x is divided by 11.
9
Let t(v) = -v**3 + 5*v**2 - 3*v + 2. Let u be t(3). Let d(k) = -k + 22. Calculate the remainder when 31 is divided by d(u).
9
Suppose -5*m + 42 = -0*n + 2*n, 74 = 2*n - 3*m. What is the remainder when n is divided by 16?
15
Let f be (-74)/(-14) - (-6)/(-21). Suppose -4*x - 27 = -f*x. Calculate the remainder when x is divided by 15.
12
Let m(z) = -2*z + 1. Let c be m(2). Calculate the remainder when 67 is divided by 1/c + (-210)/(-9).
21
Let v(d) = 7*d**3 + 2*d - 1. Calculate the remainder when v(1) is divided by 3 + 0*-1*1.
2
Let f = -9 + 12. Let v = f - 2. Let x = 1 + 0. What is the remainder when x is divided by v?
0
Suppose -6 = -6*q - 0. Suppose 2*c + 12 = 4. Let w(k) = -k**2 - 5*k - 3. What is the remainder when q is divided by w(c)?
0
Let k = -31 + 55. Let y(i) = -i**2 + 4*i - 3. Let q be y(3). Suppose q = 3*l + 18 - 57. Calculate the remainder when k is divided by l.
11
Suppose 0 = -4*d - 0 + 60. Suppose 3 = -t - 3*k - 2, k - 17 = -5*t. What is the remainder when d is divided by t?
3
Suppose 4*u - j = -4, -2*u + 5*j - 7 - 13 = 0. Suppose -3*r + 12 - 9 = u. Let i = -4 + 6. What is the remainder when i is divided by r?
0
Suppose 0 = -3*k + 137 - 23. Suppose -2*o + 4*z = -k, -z = -3*o - 2*z + 78. Calculate the remainder when o is divided by 13.
12
Let s = -26 - -47. Suppose -2*r - s = -5*r. Let p(q) = -2*q + 8. Calculate the remainder when p(-6) is divided by r.
6
Let q be -14*1*108/(-7). Suppose i - q = -4*m + 3*i, -3*m - 2*i = -148. Calculate the remainder when m is divided by 18.
16
Suppose 0 = -f + 173 + 1. Let d = f + -104. What is the remainder when d is divided by 24?
22
Suppose 0 = -3*y + i + 15, 2*y + 2*y = -5*i + 20. What is the remainder when y is divided by 4?
1
Suppose -5*z + 86 = -84. Suppose 0 = 3*p - z - 5. Calculate the remainder when 190/8 - 2/(-8) is divided by p.
11
Let t = 2 - -14. What is the remainder when 126 is divided by t?
14
Suppose 0 = -2*b - 3*b + 160. What is the remainder when b is divided by 668/60 - (-2)/(-15)?
10
Suppose -4*v = -13*v + 594. Calculate the remainder when v is divided by 18.
12
Suppose -148 = -4*u - 4*p, -2*u + 2*p = -2*p - 98. Let w = 70 - u. Let k(d) = -d**3 + d**2 + 11*d + 7. What is the remainder when w is divided by k(-3)?
9
Let m = -170 + 302. What is the remainder when m is divided by 15?
12
Suppose -5*w = 54 - 139. Calculate the remainder when 31 is divided by w.
14
Suppose 0 = -3*q - 0 - 12, 2*s - 22 = -3*q. What is the remainder when s is divided by 3?
2
Let h(r) = r**2 - r - 9. Let a be h(-4). Let x = -3 + a. What is the remainder when 21 is divided by x?
5
Suppose 5*c - 5*t - 12 = 8, 0 = -2*c - 4*t - 4. Let n = -2 + 4. Calculate the remainder when 9/4 + c/(-8) is divided by n.
0
What is the remainder when (16 - 15)*(1 + 90) is divided by 50*(-3)/(-6) + -2?
22
What is the remainder when 3 is divided by 1/(-2)*(5 + -3) + 2?
0
Let f(v) = 4*v**2 - 1. Suppose -4 + 16 = -4*t. Suppose -9 - 3 = -a. Calculate the remainder when f(t) is divided by a.
11
Let r(g) = 3*g**2 - 9*g + 5. Let v = -58 - -107. What is the remainder when v is divided by r(4)?
15
Let b(g) = 4*g**2 + 3*g + 3. Let f be b(-2). Let i = f + -6. Let s = 3 + 1. Calculate the remainder when i is divided by s.
3
Let c(x) = x**3 + x**2 - x + 2. Let t be c(-2). Suppose -4*r + t*r = -3*m - 21, 3*r - 5*m = 13. What is the remainder when 28 is divided by r?
4
Let p = -11 - -15. Suppose 14 = a + p. Calculate the remainder when 18 is divided by a.
8
Suppose 0 = -2*j + 7*j + 10, -52 = -3*x + 2*j. What is the remainder when 46 is divided by x?
14
Suppose 4*k - 27 = -2*v - 7, 5*k = -25. What is the remainder when 56*1 + -9 + 11 is divided by v?
18
Let d = -23 - -33. Let u(c) = 9*c**2 + 5*c - 3. Let z be u(3). Let w = z + -65. Calculate the remainder when w is divided by d.
8
Let w = 7 + -4. Let v = 3 + -1. Suppose 0 = v*n - 28 + 12. What is the remainder when n is divided by w?
2
Suppose 99 = 4*x - 45. Suppose 3*s = 6*s - x. Calculate the remainder when 22 is divided by s.
10
Suppose -2*n + 13 = -n. Suppose 0 = 2*b - b - 21. Let k = b - n. What is the remainder when 23 is divided by k?
7
Let v(q) = -q**2 - 8*q - 6. Let p be v(-6). Suppose -p*m = 5*y - 3*m - 66, 5*y + 5*m = 60. Calculate the remainder when 57 is divided by y.
12
Suppose q - 7 = -0. Let f = -4 - -9. Let l = f + -3. Calculate the remainder when q is divided by l.
1
Suppose -u + 9 = 5*n - 20, -3*u + n = -135. Calculate the remainder when 174 is divided by u.
42
Let l = -40 - -4. Let n = 66 + l. What is the remainder when n is divided by 11?
8
Let i = 43 + -24. Suppose 4*j - 413 = 5*z, -z - 3*z + 3*j = 330. Let p = z - -137. What is the remainder when p is divided by i?
18
Let w(z) = -z**3 + 6*z**2 - 4*z + 7. Suppose 151 = 3*v + 5*j, -3*j = -5*v + v + 182. What is the remainder when v is divided by w(5)?
11
Let x(u) = u - 5. Let w be x(9). Suppose -3 = 3*j, 0*j + 16 = 2*r + w*j. Suppose 2*i = 6 + 30. What is the remainder when i is divided by r?
8
Suppose -3*m = -2*m - 41. Let x = m + -1. Suppose -2*u = -u - x. Calculate the remainder when u is divided by 21.
19
Let w(z) be the first derivative of -z**3/3 + 9*z**2/2 - 6*z + 3. Let c be w(7). Let k(y) = -y + 10. Calculate the remainder when 3 is divided by k(c).
1
Suppose -4*d + 41 = -3*g, -5*d - 12 = g - 68. Let u = 3 + 28. What is the remainder when u is divided by d?
9
Let n = 29 + -11. What is the remainder when n is divided by 6?
0
Suppose -6*t + 126 = -138. Calculate the remainder when t is divided by 8.
4
Suppose -5*p = -n + 3, -2*p = n - p - 21. What is the remainder when ((-105)/6)/(2/(-4)) is divided by n?
17
Let n = 156 + -76. What is the remainder when n is divided by 27?
26
Let k(x) = -6*x. Let q be k(-3). Let r be 716/q - (-8)/36. Suppose 2*b = 7*b - r. What is the remainder when 14 is divided by b?
6
Suppose z + 6 = 3*z. Suppose 3*v - t = -2, 3*v + t = -z*t + 8. Calculate the remainder when (-1 - -9) + (v - -1) is divided by 5.
4
Let x(d) be the first derivative of 2*d**3/3 + 2*d**2 - 3*d + 2. What is the remainder when x(2) is divided by 5?
3
Suppose 143 = 5*v - 2*y + 3*y, 3*y = 4*v - 103. Suppose 0 = -4*q - 83 + 295. What is the remainder when q is divided by v?
25
Suppose 2*l + 2 - 4 = 0. Let k = l - 2. What is the remainder when ((-6)/(-3))/(k/(-2)) is divided by 3?
1
Suppose 0 = -4*v + 3*m + 21, 6 = 4*m - 14. Calculate the remainder when 24 is divided by v.
6
Let x(w) = 4*w + 2. Calculate the remainder when 67 is divided by x(3).
11
Let z(j) = j**3 + 4*j**2 - 6*j + 11. Calculate the remainder when 242 is divided by z(-4).
32
Suppose -2*r - 4 = -20. Suppose c - 56 = -7*c. Let s = 28 - c. Calculate the remainder when s is divided by r.
5
What is the remainder when 12/(19/9 + -2) is divided by 10?
8
Suppose 1 = n - 3. Calculate the remainder when 73 is divided by (-8)/n - -25 - 4.
16
Let g = -68 - -79. What is the remainder when 30 is divided by g?
8
Suppose 0 = 5*u - 2*g - 60 - 24, 5*u - 5*g = 90. What is the remainder when 61/1 + (-2 - -2) is divided by u?
13
Suppose 2*g - 18 - 10 = 0. What is the remainder when g is divided by 8?
6
Let h(k) = -k**3 + 9*k**2 + 11*k - 7. Let q be h(10). Suppose 5*c + 23 = -z + 5, 0 = -5*z - q*c + 20. Calculate the remainder when 25 is divided by z.
4
Let q(l) = -l**2 - 10*l + 6. Let i be q(-14). Calculate the remainder when 101 is divided by (1 - i)*(-8)/(-12).
33
Let p = 15 + -9. Suppose -12 = 5*t + 8. Let c = p + t. What is the remainder when 2 is divided by c?
0
Let z(v) = -3*v**2 + 3*v - 3. Let i be z(2). Let a be (-7)/(-3) - 6/i. Suppose 0 = -4*h + a*h + 2. Calculate the remainder when h is divided by 2.
0
Let c = 47 - 33. Suppose -4*j + 5*j - 4 = 0. Suppose u - j*u + 24 = 0. Calculate the remainder when c is divided by u.
6
Suppose d + 20 = 3*d. Suppose 158 = 2*q + 2*q + 2*i, -2*i - 184 = -5*q. Calculate the remainder when q is divided by d.
8
Calculate the remainder when 67 is divided by (-10)