- 49 = 0, 0*i + 2*i + 4*m - 44 = 0. Calculate the remainder when i is divided by 10.
6
Let r be ((-3)/(-2) + -2)*-6. Let n = 16 - r. Suppose 0 = 6*t - 2*t - 92. What is the remainder when t is divided by n?
10
Suppose 4*f + 0*f = 184. Suppose -3*b + f = -t, -t - t - 78 = -5*b. What is the remainder when 1*2*4*5 is divided by b?
12
Let u be -2*((-153)/6 + 1). Suppose -u = -4*i - q, -3 = -q + 2. Let v = 28 - 7. What is the remainder when v is divided by i?
10
Let t be (1 - (-2)/(-4))*42. Suppose 2*c + 56 - 168 = 0. Suppose -4*b = 2*l - c, 0 = -4*b - 3*l + 31 + t. What is the remainder when 31 is divided by b?
15
What is the remainder when 4 is divided by (-2 + 4)*5/(-30)*-3?
0
Let l(t) = 21*t - 1. Calculate the remainder when 97 is divided by l(1).
17
Calculate the remainder when 140 is divided by (1 - 4)*(-4 - 8).
32
Let g be (3/(-6))/((-2)/(-20)). Let b = g + 8. Suppose b*k - 87 = -0*k. What is the remainder when k is divided by 8?
5
Let p = -5 + 8. Let k(a) = -1 - a**2 + 2*a**2 + 6*a - 2*a - p*a. What is the remainder when 1 is divided by k(1)?
0
Suppose -4*g - 5*j = -16, 3*g + 0*g - 4*j - 43 = 0. Calculate the remainder when 17 is divided by g.
8
Suppose -2*i + 5*z = -i - 34, 4*z = i - 37. Let w(x) = -11*x + 46. What is the remainder when i is divided by w(3)?
10
Let c be 3/9 - (-526)/6. Suppose 0 = -3*u - u + c. What is the remainder when u is divided by 8?
6
Let w be (0 - 0)/(1 - 2). Calculate the remainder when (12/10)/(1/5) is divided by (-2 - w)/((-2)/4).
2
Calculate the remainder when 16 is divided by 0 + 6 + -3 - -4*1.
2
Suppose 0 = 6*z - z + 85. Let m = -11 - z. Suppose 6 = 3*f - m. Calculate the remainder when 7 is divided by f.
3
Suppose -q - 378 = -4*q. What is the remainder when 45 is divided by (-1)/(-4) + q/8?
13
Suppose 80 = -4*o - 12. Let s = 33 + o. Calculate the remainder when 19 is divided by s.
9
Suppose 7 = 2*f - 1. What is the remainder when 6 is divided by f?
2
What is the remainder when (-150)/(-4) - 15/30 is divided by 20?
17
Let u = -36 + 55. Calculate the remainder when 53 is divided by u.
15
Suppose 0 = -3*l + 15 - 0. Calculate the remainder when 5 is divided by l.
0
Let n(a) = 7*a**2 - 25*a + 19. Let i(y) = 4*y**2 - 13*y + 9. Let q(v) = 5*i(v) - 3*n(v). Suppose 4*g = 3*g + 2. What is the remainder when q(8) is divided by g?
0
Suppose 4*z + 5*b - 57 = 0, 0 = -0*z + z - 2*b - 24. Calculate the remainder when 58 is divided by z.
4
Let g(q) = 8*q**2 - 3*q - 8. Let r be g(4). Suppose 0 = 5*v - v - r. What is the remainder when v is divided by 10?
7
Suppose 0 = h + 1 - 2. Suppose 1 + h = u. Let r = -7 + 11. What is the remainder when r is divided by u?
0
Let d = -32 - -1. Let o = d - -48. What is the remainder when o is divided by 6?
5
Let v(y) = 10*y**3 + 15*y**2 - 13*y. Let a(g) = -7*g**3 - 10*g**2 + 9*g. Let f(m) = -7*a(m) - 5*v(m). Calculate the remainder when 46 is divided by f(-6).
22
Suppose 0 = -2*w - 4*d + d + 119, 0 = w + 2*d - 62. Suppose 0 = -6*m + 2*m + w. What is the remainder when m is divided by 8?
5
Let n(o) = 10*o**2 - 6*o + 5. What is the remainder when n(-4) is divided by 38?
37
Let u(g) be the second derivative of 11*g**4/12 + g**3/3 - g**2/2 - 4*g. Let k = 11 - -5. Calculate the remainder when u(2) is divided by k.
15
Suppose -b + 18 - 3 = 0. Let y = -84 + 140. Calculate the remainder when y is divided by b.
11
Let o = 61 - 20. Calculate the remainder when o is divided by 3/((-3)/(-21) + 0).
20
Let x = 4 + 4. Let g be -1 + 2*(-3 + 0). Let l = 16 - g. What is the remainder when l is divided by x?
7
What is the remainder when 43 is divided by -1 + (4 + 0)*3?
10
Let h(n) = 10*n + 1. Let m(x) = x**2 - 2*x + 6. Calculate the remainder when h(2) is divided by m(2).
3
Let w(y) = -y**3 - 8*y**2 + 8*y - 5. Let i be w(-9). Suppose 0 = i*h - m - 209, 0 = -0*h + h - m - 53. What is the remainder when h is divided by 18?
16
Suppose 0 = 2*l - 208 + 122. Let f = 29 + -18. Calculate the remainder when l is divided by f.
10
Let x(n) be the third derivative of n**6/120 - n**5/5 - n**4/2 + 2*n**3/3 + 4*n**2. Calculate the remainder when 49 is divided by x(13).
15
Let m(l) = l**3 + 7*l**2 - l + 3. Calculate the remainder when 38 is divided by m(-7).
8
Suppose -3*n - 3*j - 2 = 4, -5*n + 4*j - 10 = 0. Let x = 9 - n. Suppose -3*h + 5 = -88. What is the remainder when h is divided by x?
9
Let v(f) = f**2 + 3*f + 1. What is the remainder when 42 is divided by v(-5)?
9
Let y(g) be the third derivative of 19*g**6/40 + g**4/24 - 2*g**2. What is the remainder when y(1) is divided by (12/(-10))/(3/(-50))?
18
Let z(k) = -2*k**3 + 3*k + 2. Let x be z(-2). Let j = x - 2. What is the remainder when 26 is divided by j?
6
Let u(k) = -k**2 - 8*k - 9. Suppose 5*c - 26 = -4*n, -c - 3*n + 6*n + 9 = 0. Calculate the remainder when c is divided by u(-6).
0
Suppose 142 = 10*d - 118. Calculate the remainder when 98 is divided by d.
20
Suppose 3*t + 13 - 70 = -5*w, 0 = w - 2*t - 1. What is the remainder when (6/8)/(1/20) is divided by w?
6
Suppose 2*b - 1 = 3. Suppose -2*p - b*p = -48. Calculate the remainder when p is divided by 7.
5
Let w be (51/85)/((-2)/10). Let c(z) = z**3 + 4*z**2 - 2*z. What is the remainder when 57 is divided by c(w)?
12
Suppose -5*y - 2*x = -30, 4*y + 4*x - 32 = y. Suppose y*r + r = 125. What is the remainder when r is divided by 13?
12
What is the remainder when ((-78)/12 + -1)/((-6)/88) is divided by 29?
23
Suppose -53 = -3*b + 4. Calculate the remainder when 73 is divided by b.
16
Suppose -a + 4*b + 26 = 0, -a + 31 = 2*b - 7*b. Let f(q) = -q**2 - 9*q - 7. Calculate the remainder when f(-6) is divided by a.
5
Let g(d) = 13*d**3 - 23*d**2 + 8*d - 15. Let b(l) = 7*l**3 - 12*l**2 + 4*l - 8. Let w(p) = 11*b(p) - 6*g(p). Calculate the remainder when 29 is divided by w(2).
9
Suppose 6*k = k + 130. Suppose 41 = -5*s + 111. What is the remainder when k is divided by s?
12
Let p(x) = 3*x + 4. Calculate the remainder when p(4) is divided by 10.
6
What is the remainder when 51 is divided by 39/(-26)*(-56)/6?
9
Suppose 5*c = 5*j - 230, 48 - 258 = -5*j + c. Calculate the remainder when 120 is divided by j.
38
Suppose 0 = -2*i + 2*t + 2, 0 = -4*i + 2*i - 2*t + 6. Suppose h + i*h = 27. Calculate the remainder when 17 is divided by h.
8
Let f = 123 + -109. What is the remainder when 81 is divided by f?
11
Suppose 2*j - 7*j = -140. What is the remainder when j is divided by 15?
13
Suppose -4*o + 9 = d, -o - d = d + 3. Let w = -3 + 1. What is the remainder when (w - 15/(-9))*-15 is divided by o?
2
Let j = 62 + -26. What is the remainder when j is divided by 13?
10
Suppose m - 23 = -18. What is the remainder when 13 is divided by m?
3
Let f = 22 + -18. What is the remainder when 7 is divided by f?
3
Let f(j) = -j + 12. Let k be f(4). Suppose 33 = -5*h + 3. Let c = h + k. What is the remainder when 2 is divided by c?
0
Let j(g) = -12*g - 5. Let l(s) = s**3 - 6*s**2 + 5*s - 4. Let x be l(5). Let k(n) = -n**3 + 8*n**2 - n - 20. What is the remainder when j(x) is divided by k(7)?
21
Suppose -5*p + 505 = -5*n, 0 = -5*n + 18 + 2. Suppose 8*v - p = 3*v. What is the remainder when 40 is divided by v?
19
Suppose -n + 22 = 7. Let w = n - -3. Calculate the remainder when 51 is divided by w.
15
Suppose -4*r = -3 - 5. Calculate the remainder when 22/14 + 3/7 is divided by r.
0
Let w(j) = -349*j + 1. Let f be w(1). Let r = -21 - -31. What is the remainder when 6/30 - f/r is divided by 12?
11
Let j(w) = w**3 + 6*w**2 - 7*w + 9. Calculate the remainder when 17 is divided by j(-7).
8
Let i be -13 - (4 - 6/3). Let q = -8 - i. Let f = 27 + -8. What is the remainder when f is divided by q?
5
Let p be (-9)/21 - (-31)/7. Suppose 50 = t + p*t. What is the remainder when t is divided by 6?
4
Suppose 3*j - 41 = -0*j + 5*n, -4*j - 5*n = -43. Calculate the remainder when 46 is divided by j.
10
Suppose 2*z - 6 = -n + 2*n, -n - 3*z = -19. What is the remainder when 8 is divided by n?
0
Let q be 1 + -4 + 1 - -57. Suppose -a = 5*b - q, -160 = -4*a - 5*b - 0. What is the remainder when a is divided by (12/10)/(3/30)?
11
Suppose v - 12 = 5. What is the remainder when v is divided by 4?
1
Let u be 3 - -1 - (2 - 2). Let w = u + 23. Suppose 3*b + 0*n - 58 = 2*n, -n = 2*b - w. What is the remainder when b is divided by 9?
7
Let r(k) = -k**2 - 9*k - 3. Let z be r(-