4
Suppose -2*o + 15 = -31. What is the remainder when 67 is divided by o?
21
Suppose 8 = -6*y + 7*y. What is the remainder when 12 is divided by y?
4
Let w = 54 - 21. Let g = 46 - w. Calculate the remainder when 37 is divided by g.
11
Suppose -13*p + 14*p = 17. Calculate the remainder when p is divided by 7.
3
Let p(j) = 2*j**2 + 2*j - 8. What is the remainder when p(5) is divided by 18?
16
Let m(s) = 2*s + 3. Let o(g) = -g - 2. Let v(f) = 3*m(f) + 5*o(f). Let i be v(0). Let a = i + 13. Calculate the remainder when a is divided by 7.
5
Let z(h) = -h**3 - h**2 + 2*h - 4. Calculate the remainder when 15/(-5)*44/(-6) is divided by z(-3).
6
Let f = 18 + -3. Suppose -120 = -5*k + 4*z, -4 + 35 = 2*k - 5*z. What is the remainder when k is divided by f?
13
Suppose -4*b = -4*h + 16, 5*h - 3*b - 22 = -0. Suppose -h*s = -9 - 26. What is the remainder when 12 is divided by s?
5
Calculate the remainder when 30 is divided by 55/(-15)*(0 - 3).
8
Let o(r) = -39*r**3 + r**2 + r - 1. Calculate the remainder when o(-1) is divided by ((-10)/(-3))/((-6)/(-18)).
8
Suppose 3*y - 10 - 20 = 0. What is the remainder when 39 is divided by y?
9
Let k be 3/6 - 7/(-2). Suppose k*z - 6*z = -2. Calculate the remainder when z is divided by ((0 - -2)*1)/2.
0
Suppose 6*g - 54 - 42 = 0. Calculate the remainder when 61 is divided by g.
13
Let t = 17 + -12. Let v(x) = -x**2 + 8*x - 7. Let b be v(t). Suppose -3*d - 50 = -b*d. Calculate the remainder when d is divided by 6.
4
Let i be 12/(-9)*3 - -3. What is the remainder when (3/(3/(-61)))/i is divided by 16?
13
Let x = 17 + -8. Suppose -w = -x - 63. What is the remainder when w is divided by 25?
22
Let t(p) be the second derivative of -p**4/12 - 5*p**3/3 - 3*p**2 - 4*p. What is the remainder when t(-6) is divided by 10?
8
Let o(x) = x**3 + 7*x**2 - x - 10. Suppose 0 = -2*w - 3*j + 44, 0*w + 110 = 5*w + j. Calculate the remainder when o(-4) is divided by w.
20
Suppose h + 0*h - 12 = -2*i, 3*i - 5 = 5*h. Suppose 0*f + 160 = i*f + 5*y, 2*f = 4*y + 58. What is the remainder when f is divided by 16?
15
Let s be 66/14 + (-6)/(-21). Suppose 3*c - 165 = -3*g, 8 = s*g - g. Let v = c + -12. Calculate the remainder when v is divided by 14.
13
Let o = 8 - 5. Let r be (-2)/4 + (-9)/(-2). What is the remainder when o is divided by r/3 + (-8)/(-12)?
1
Let z = 1 - 2. What is the remainder when 51 is divided by 38/3 + z/(-3)?
12
Let f(z) = -259*z**3 + 9*z**2 + 4*z + 13. Let x(t) = 65*t**3 - 2*t**2 - t - 3. Let w(g) = -2*f(g) - 9*x(g). What is the remainder when w(-1) is divided by 23?
21
Suppose 4*l = -4*h + l + 132, 2*h - 2*l - 52 = 0. Let y = 1 + 7. What is the remainder when h is divided by y?
6
Suppose -c + 3 = 2*c. Suppose c = i, 3*m - 28 = 5*i - 0*i. Calculate the remainder when m is divided by 4.
3
Suppose 2*c + 7 = -3. Let a(j) = -j**2 - 7*j - 2. Calculate the remainder when 21 is divided by a(c).
5
Suppose 6*m = 8*m - 206. Suppose 6*t - 5 - m = 0. What is the remainder when 70 is divided by t?
16
Let u = 115 - 50. Calculate the remainder when u is divided by 17.
14
Suppose -5*x - 2*q = -58, 3*q = -4*x + 32 + 20. What is the remainder when 37 is divided by x?
7
What is the remainder when 7 is divided by 20/(-15)*3 - -10?
1
Suppose -3*g + 54 - 12 = 0. What is the remainder when 27 is divided by g?
13
Let h(c) = c**3 - 6*c**2 + c + 3. Let q(b) = -2*b**3 + 6*b**2 - 2*b - 2. Let s(k) = -3*h(k) - 2*q(k). Calculate the remainder when s(-4) is divided by 8.
7
Let f(c) = c**2 + 9*c - 8. Let u(b) = b**2 - 10*b + 10. Let v be u(7). Calculate the remainder when 39 is divided by f(v).
11
Suppose 21 + 8 = j. Calculate the remainder when j is divided by (-5 - -4)*(-14 - 2).
13
Suppose 5 + 10 = 5*a. Let r be (3/(-6))/((-2)/(-8)). What is the remainder when a is divided by r + 4 + -1 + 1?
1
Suppose 5*m = 118 - 18. Calculate the remainder when 1 is divided by (-12)/(-10) + (-4)/m.
0
Let i(x) = -2*x**3 - 3*x**2 + 5*x + 3. Suppose 4*z + 6 = 2*z. What is the remainder when i(z) is divided by 8?
7
Let q(l) = 2*l**2 + l + l**3 - 5*l**2 - l**2 + 1 - 3. Let o be q(4). Suppose j - 2 = x, o*x = -4*j - 3*x + 26. What is the remainder when 6 is divided by j?
2
Let b = 3 + 1. Let g = b + -2. Suppose -g*s - 3 = -5*s. Calculate the remainder when 1 is divided by s.
0
Let z be (10/6)/(2/30). Let g = z - 14. Suppose 4*f - 37 = 47. Calculate the remainder when f is divided by g.
10
Let o be ((-16)/(-10))/((-6)/(-15)). Suppose -o*i = -2*i - 34. Suppose 3 = -a, -r + 4*a - 8 + 29 = 0. Calculate the remainder when i is divided by r.
8
Let r = -13 - -30. Suppose 0 = -22*p + r*p + 30. Calculate the remainder when p is divided by 4.
2
Suppose 0*k = 3*k + 5*z - 68, -5*z - 100 = -5*k. Suppose 5*i - 5*t = -50, 0 = 3*i - 4*i + 5*t - 26. Let q = i + k. What is the remainder when q is divided by 6?
3
Let j(t) = 2 + t**2 - 3 - 5 - 1. Calculate the remainder when j(7) is divided by 11.
9
Calculate the remainder when 147/18*4 - (-14)/(-21) is divided by 7.
4
Let d = -12 - -25. Calculate the remainder when 36 is divided by d.
10
Suppose 4*p - 1 - 15 = 0. Let o(x) = 8*x + 11. Let s(r) = 7*r + 10. Let n(z) = -6*o(z) + 7*s(z). What is the remainder when 22 is divided by n(p)?
6
Let r = -89 + 127. What is the remainder when 113 is divided by r?
37
Suppose 691 = 8*u - 469. What is the remainder when u is divided by 15?
10
Let z(w) be the first derivative of w**2/2 - 14*w + 4. What is the remainder when 3 is divided by z(15)?
0
Let g = 24 - 22. What is the remainder when 5 is divided by g?
1
Suppose 61 = 10*s - 159. Calculate the remainder when 87 is divided by s.
21
Suppose -231 - 33 = -3*u. Calculate the remainder when u is divided by 18.
16
Let i be -3 + 4 + 2 + -1. Let t be 12/(4 + -1) - i. Suppose 3*y - 135 = -t*y. Calculate the remainder when y is divided by 14.
13
Let u(d) = -2 + 7 + d**3 + 4*d**2 - 2*d**3 + d. Suppose 0*b + 5*k = -b + 26, 5*b + 5*k = 130. Calculate the remainder when b is divided by u(4).
8
Let z = 4 - -11. Calculate the remainder when z is divided by 8.
7
Let f(z) = 12*z**2 - 2 - 4*z**2 + 3*z + z**3 + 0*z. Let g(n) = -n + 1. Calculate the remainder when f(-7) is divided by g(-8).
8
Suppose 3*r + 9 = -0*r. Let h = 4 + r. What is the remainder when (1 - (7 + h))*-2 is divided by 8?
6
Suppose -231 = -j + 2*a, 2*a = -4*j + 3*a + 889. Calculate the remainder when j is divided by 56.
53
Suppose 10 = 2*g - 0*g. Suppose v = 2, 3*c - g*c - 4*v + 52 = 0. Calculate the remainder when c is divided by 8.
6
Let g(f) = f**3 - f**2 + 8. Let s = -88 - -123. Suppose 0 = -5*l + o - 0*o + 20, 4*l = -3*o + s. What is the remainder when g(0) is divided by l?
3
Suppose -2 = -2*v, 3*x - 8*x = -4*v - 46. What is the remainder when 24 is divided by x?
4
Let r = 2 + 2. Suppose -40 = -r*b + 4. Let q(x) = -43*x**3 - x**2 + x + 1. Calculate the remainder when q(-1) is divided by b.
9
Suppose 0*i = -3*r + 4*i - 334, 261 = -2*r - 5*i. Let x = -82 - r. Calculate the remainder when x is divided by 44/(2*1) - (45 + -42).
17
Let f = -22 - -79. Calculate the remainder when f is divided by 30.
27
Let k = -140 - -75. Let n = k + 97. Calculate the remainder when n is divided by 11.
10
Let h(v) = -2*v - 10. Let a be h(-8). Suppose -3*t + 210 = -2*o, 363 = a*t - t + o. Let k = 109 - t. What is the remainder when k is divided by 19?
18
Let i(g) = g**2 + 16. Let t be 1*(1 - (0 - -1)). Calculate the remainder when i(t) is divided by 9.
7
Suppose 0*g = 5*g - 200. Calculate the remainder when g is divided by (-145)/(-7) - (-4)/14.
19
Let l = -2 - -5. Suppose 0 = l*z + z - 36. What is the remainder when z is divided by 4?
1
Let m(l) = -l**3 + 6*l**2 - 2*l + 6. Let p be m(6). Let b = p - -11. What is the remainder when 13 is divided by b?
3
Suppose -w + 29 = -2*o, -127 = -4*w + 2*o + 1. Calculate the remainder when w is divided by 12.
9
Suppose -3*b + 6 = l - 19, 0 = 5*l - 2*b - 40. What is the remainder when 886/l - 22/(-55) is divided by 23?
20
Let l be (87 - -1) + (-10)/5. Let s = l + -41. What is the remainder when s is divided by 16?
13
Suppose 3*l = 5*a - 136, a + 3*a - 101 = 5*l. Calculate the remainder when (3 - (-3)/(-1)) + a is divided by 15.
14
Let b = 2 + -1. Let n = b - -17. Let x(q) = q**3 - 6*q**2 - 7*q + 10. Calculate the remainder when n is divided by x(7).
8
Let h = 82 + -44. Suppose d + 4*d = 4