- g = 3*i. What is the remainder when i is divided by 3?
2
Let j = 27 - 8. Suppose 0 = 2*f + j - 89. Calculate the remainder when f is divided by 12.
11
Let v(q) = q + 20. What is the remainder when 37 is divided by v(0)?
17
What is the remainder when (51/9)/(4/24) is divided by 12?
10
Suppose -32 = 5*h - 237. Suppose -z - 2*w + 13 = 0, 0*z - 5*w + 30 = 2*z. Suppose z*u - u - 56 = 0. What is the remainder when h is divided by u?
13
Let y(g) = -g + 2. Suppose -h = k + 4*k - 14, k = 4*h - 14. Suppose -k*v - v = -21. What is the remainder when v is divided by y(-3)?
2
Suppose -a + 2*v = -6, -4*v - 19 = -3*a + 3. Let w(q) = -q**2 - 6*q + 3. Calculate the remainder when a is divided by w(-6).
1
Let g(j) = -j + 4. Calculate the remainder when 22 is divided by g(-4).
6
Suppose -5*g - 233 = -6*g + 4*l, -4*g - 4*l + 892 = 0. Suppose 10*h - 5*h - g = 0. What is the remainder when h is divided by 23?
22
Calculate the remainder when 34 is divided by 8/2 - 2 - -17.
15
Let k(x) = 2*x**2 + 12*x + 8. Let a be k(-9). Suppose 3*w - 83 = o, 20 - a = -2*w - 2*o. Calculate the remainder when w is divided by 14.
12
Suppose -4*u - 54 - 64 = -5*t, -2*u - 48 = 3*t. Let r = u + 55. What is the remainder when 54 is divided by r?
26
Let a = 15 - 8. Suppose 4 = l - o, 0 = a*l - 2*l + 4*o - 11. What is the remainder when 7 is divided by l?
1
Suppose 4*j - 1 = -9, 3*j - 10 = -4*k. Suppose k*x + 65 = h, 0*h + 5*x = h - 70. Calculate the remainder when h + 1*(-2 - -1) is divided by 15.
14
Suppose 25*n + 32 = 27*n. Calculate the remainder when 43 is divided by n.
11
Let p be 102/1 + (0 - -2). Suppose o = -o + p. Calculate the remainder when o is divided by 18.
16
Suppose 17 = d - 5*t, 0 = -0*d + 4*d - t - 11. What is the remainder when (-207)/(-6) - 3/d is divided by 17?
16
Let b = 14 - 10. Let s = -52 - -58. What is the remainder when s is divided by b?
2
Suppose 5*d = 6*d - 30. Let o be 2/(-2) - (-70)/5. Suppose -3 - o = -b. Calculate the remainder when d is divided by b.
14
Let c(x) = x**3 + 18*x**2 - 40*x + 29. What is the remainder when 57 is divided by c(-20)?
28
Suppose -8 = 2*k - 4*k - o, -22 = -5*k - 2*o. Calculate the remainder when 11 is divided by k.
5
Let a(r) = -r**2 + 12*r + 5. Calculate the remainder when a(11) is divided by 6.
4
Let s(g) = 4*g + 2. Suppose -4*l + 10 + 2 = 0. Suppose 0*t + 5*i = t - 28, -t = -l*i - 20. Calculate the remainder when s(3) is divided by t.
6
Suppose -6*s + 42 = -30. What is the remainder when 71 is divided by s?
11
Let g(a) be the first derivative of 1/3*a**3 - 1 + 3/2*a**2 - a. Calculate the remainder when 50 is divided by g(3).
16
Let j be -3*1/(-3) - 3. What is the remainder when -2 + 49 + 0/j is divided by 16?
15
Let q(o) = -o - 2. Let n be q(-2). Suppose n = a - 0*a + 5, 73 = i - 3*a. Let p = -12 + 32. What is the remainder when i is divided by p?
18
Calculate the remainder when 3 is divided by (6/3 + -1)*1.
0
Let w = -34 - -47. Suppose 2*q = q + 5*o - 9, 5*q + 4*o = w. What is the remainder when 2 is divided by q?
0
Let p(u) be the second derivative of -u**3/6 + 7*u**2/2 + u. Suppose 14*k - 211 = 55. What is the remainder when k is divided by p(0)?
5
Let i(u) = 2*u**2 - 4*u + 2. Let t be i(4). Suppose r + 5*y = t, -r + y + 2 = -10. What is the remainder when 37 is divided by r?
11
Calculate the remainder when 36 is divided by (((-3)/9)/(-1))/((-2)/(-132)).
14
What is the remainder when 5 is divided by (4/7)/((-4)/(-14))?
1
Suppose -b + 2*c = -201, 2*b + 196 = 3*b + 3*c. What is the remainder when b is divided by 67?
65
Let w be ((-6)/(-12))/((-2)/(-4)). Suppose -4*f = 3*h - w, -2*f - 9 = 5*h - 34. Calculate the remainder when 20 is divided by h.
6
Let q(n) = -2*n**3 - 4*n**2 + 2*n + 1. Calculate the remainder when q(-4) is divided by 15.
12
Suppose 0 = 3*h + 2*h + 5*t - 50, 0 = h - 5*t + 20. Let j(p) = 2*p - 7. Suppose -20 = s - 5*s. Calculate the remainder when s is divided by j(h).
2
What is the remainder when 2 - (-35 + 0/(-3)) is divided by 10?
7
Suppose 13 = 3*t + 4*b, 6*t = 3*t + 2*b + 7. Let v = 1 + -1. Suppose t*u + 4*m - 3 = v, -4*m = -5*u + m + 40. Calculate the remainder when 14 is divided by u.
4
Calculate the remainder when (63 - 3)*(-1)/(-2) is divided by 4.
2
Suppose 3*j - 2*g = 51, -g = j + 2*g - 28. Calculate the remainder when 36 is divided by j.
17
Let a(v) = -v**3 - 6*v**2 + 10*v + 10. Let q be a(-7). Let h = -7 - q. Suppose -2 - h = -i. What is the remainder when 11 is divided by i?
5
Let i = 135 + -57. Calculate the remainder when i is divided by 21.
15
Let h = -2 + 4. Suppose -h*z - 3*z + 45 = 0. Calculate the remainder when 25 is divided by z.
7
Suppose 2*j + 2*o = 2, -o = 4*j + 3 - 19. Suppose 75 = j*s - 5. What is the remainder when s is divided by 6?
4
Let o(l) = -6*l + 63. Let q(p) = 4*p**2 - p. What is the remainder when q(4) is divided by o(7)?
18
Suppose 252 = 11*r + 7*r. Let t(h) = -5*h + 8. Calculate the remainder when t(-6) is divided by r.
10
Suppose 2*i - 80 - 43 = 5*k, 3*k + 53 = -4*i. Let z = 28 + k. Calculate the remainder when z is divided by 3.
2
Let w(k) = k**3 + 4*k**2 - 8*k - 8. Let z = -51 - -71. What is the remainder when z is divided by w(-5)?
6
Let n be (-6)/4*204/18. Let x = -10 - n. Calculate the remainder when 25 is divided by x.
4
Let h(t) = t + 8. Let c(r) be the second derivative of r**3/3 - r**2 - 3*r. What is the remainder when h(-6) is divided by c(2)?
0
Suppose -2*p + 2*y + 74 = 0, 3*p = -0*y + 4*y + 107. Calculate the remainder when p is divided by 22.
19
Suppose r + 2 = 3*r. Suppose g + 2*g - 3*h - 345 = 0, 0 = h - r. Suppose 3*j - g = j. Calculate the remainder when j is divided by 15.
13
Suppose -3*u - 4*a + 79 = 0, 3*u - 76 - 33 = 2*a. Let h = u - 3. Let z = -76 + 92. Calculate the remainder when h is divided by z.
14
Suppose -28 = -4*s + 3*d - 4*d, s + d = 7. What is the remainder when 13/2*4/2 is divided by s?
6
Suppose 2*n - 4*r - 31 = -3*n, 0 = -n + r + 6. Suppose 3*y - 72 = -15. What is the remainder when y is divided by n?
5
Let w be 2/4*4/1. Suppose 5*q - w*q - 33 = 0. What is the remainder when q is divided by 4?
3
Suppose -5*y - 66 = -8*y. What is the remainder when y is divided by 14?
8
Let w(q) = 2*q**2 - 1. Let i = 19 + -2. Calculate the remainder when w(-5) is divided by i.
15
Suppose -4*p = -68 - 580. Suppose 5*h = 2*h + p. What is the remainder when h is divided by 14?
12
Suppose -4*u + 9 + 7 = 0, 4*u = -4*n + 24. What is the remainder when 49 is divided by 26/n*(3 + -2)?
10
Suppose -8 = 5*w - 9*w. Calculate the remainder when 4 is divided by w.
0
Let w(g) = -2*g - 4. Let z(d) = -d - 5. Let x(a) = 6*w(a) - 4*z(a). Let f(c) = -17*c + 100. What is the remainder when x(-4) is divided by f(5)?
13
Let j(r) be the second derivative of 5*r**3/6 - 5*r**2/2 - 3*r. Let f be j(5). Let b = f - 0. What is the remainder when b is divided by 7?
6
Suppose -4*f = 5*w - 14, -4*w - f - 3*f + 12 = 0. Suppose 0 = -5*h + w*h + 153. Calculate the remainder when h is divided by 13.
12
Suppose -3*i + 199 = 2*d + 29, 0 = -d + 4. What is the remainder when i is divided by 28?
26
Let t(z) = z**3 - 8*z**2 + 13*z - 9. Let l be t(8). Suppose 0*q + 10 = 5*q. Suppose -q*p = 3*p - l. Calculate the remainder when p is divided by 7.
5
What is the remainder when 155 is divided by (-2)/(-6) - (-3)/(9/77)?
25
Suppose -6*f = 2*f - 152. What is the remainder when 48 is divided by f?
10
Let l = 0 - 0. Suppose 1 = 2*p + c, 0 = -l*p + 5*p + 4*c - 4. Suppose p = -3*z - z + 68. What is the remainder when 49 is divided by z?
15
Let y = 32 + -10. Suppose 6*s - 2*s = 16. Suppose 5*c = -2*b + 7*b + 65, -56 = -5*c - s*b. What is the remainder when y is divided by c?
10
Suppose 0 = 4*b - 16, -18 = -c - b + 21. Calculate the remainder when c is divided by 24.
11
Let i = -10 + 20. Calculate the remainder when 17 is divided by i.
7
Let b = -19 + 22. Suppose 2*f = 3*f + 2*g - 8, 4*g - 20 = -4*f. Suppose 9 = f*s + b. Calculate the remainder when 5 is divided by s.
2
Let j = -10 - -16. Suppose -3*l + 60 = 2*l. Calculate the remainder when 4/j - 128/(-6) is divided by l.
10
Let v = -11 + 18. Let i(y) = -y**3 + 8*y**2 - 6*y + 5. Calculate the remainder when i(v) is divided by 5.
2
Let s = 2 + 11. Let q = 0 + 3. What is the remainder when 23 is divided by (s - 3/q) + 0?
11
Suppose 2*s + 10 + 56 = 0. Let 