+ 7 = -0, -2*u + 14 = -4*z. Let i = 10 - u. Calculate the remainder when i is divided by 3.
0
Suppose 3*c - 36 = 4*t, -t + 0 = -2*c + 4. Let n = 26 + t. Calculate the remainder when n is divided by 4.
2
Let s(q) = 6*q**2 + 3*q - 1. Calculate the remainder when s(2) is divided by 5.
4
Suppose -1 = -y + 4. Suppose -y*i + 25 = -0. Suppose 0 = i*j - 34 + 4. Calculate the remainder when 17 is divided by j.
5
Let f be (-3)/(-2)*(-4 - 2). Let t be (-2)/(-3) - (-33)/f. Let n(h) = -h + 4. What is the remainder when n(t) is divided by 3?
1
Let u = -30 - -78. Let g(l) = -31*l. Let r be g(1). Let v = r + u. What is the remainder when 49 is divided by v?
15
Let d = -29 - -52. Calculate the remainder when d is divided by 6.
5
Let a(i) = -15*i**2 - 1. Let y be a(-1). Calculate the remainder when (y/(-10))/((-10)/(-225)) is divided by 19.
17
Suppose 3*y - 64 = -7. What is the remainder when y is divided by 7?
5
Let o(f) = 29*f + 3. Let a be o(3). Suppose -4*q = 2*l + 11 - 29, q = -5*l + a. What is the remainder when l is divided by 10?
9
Suppose 9*m - 30 = 8*m. What is the remainder when 89 is divided by m?
29
Let u = -2 + 1. Let j = -2 + u. Calculate the remainder when 23 is divided by j*3/(-6)*8.
11
Suppose 0 = -13*f - 2*f + 510. What is the remainder when 100 is divided by f?
32
Let c = 14 + 33. Calculate the remainder when c is divided by (-306)/(-12) - 3/2.
23
Suppose 3*f - 45 = 9. Suppose -c + 3*c = f. What is the remainder when 17 is divided by c?
8
Let g = -28 + 56. Suppose 3*k = n - 2 - 1, 5*n = 4*k + 59. What is the remainder when g is divided by n?
13
Let d(v) = v**3 - 9*v**2 + v + 10. Let u be d(7). Let t = 138 + u. What is the remainder when t is divided by 20?
17
Calculate the remainder when 33 is divided by 1/(-2) - (-75)/10.
5
Let o(q) = -12*q + 2. Let f be o(-3). Let u = -18 + f. Let w = 8 - -3. Calculate the remainder when u is divided by w.
9
Let l = -28 + 32. Calculate the remainder when 30 is divided by l.
2
Let m(u) = u**3 + 5*u**2 - u - 1. Let i be m(-5). Suppose i*s = 4*k - 8 - 40, 54 = 5*k - 3*s. Calculate the remainder when k is divided by 3.
0
Let z be (16/(-6))/((-4)/114). Suppose 4*y - 6*y = -z. What is the remainder when y is divided by 20?
18
Let z be (-3)/6*2*3. What is the remainder when 102/4*(-2)/z is divided by 9?
8
Let l = -57 + 90. What is the remainder when 64 is divided by l?
31
Let p = 3 - 0. Let i(b) = b**2 + 19*b + 75. What is the remainder when i(-14) is divided by p?
2
Let c(l) = -l**2 + 11*l + 14. Suppose 0 = 5*y - 61 - 19. Suppose 0 = -5*w - 2*a + y, -w - 5*a + 17 = -0*w. Calculate the remainder when c(12) is divided by w.
0
Let n = -42 - -63. What is the remainder when n is divided by 6?
3
Let t = 262 - 187. What is the remainder when t is divided by 38?
37
Suppose -5*i + 4*r = -r - 25, 5 = -4*i - r. Suppose 10 = -2*c, 4*v + 5*c = 489 - 94. Suppose b + 2*b - v = i. Calculate the remainder when b is divided by 19.
16
Suppose -7*l + 12 = -3*l. What is the remainder when l is divided by 1?
0
Let q = -120 + 171. Suppose a + q = 4*a. Calculate the remainder when a is divided by 9.
8
Calculate the remainder when 103 is divided by 3 - 18*(-4 + 3).
19
Calculate the remainder when 19 is divided by (4/(-6))/((-44)/21 - -2).
5
Let u = -8 - -11. Let r be 4 + -3 + 2 - 0. What is the remainder when (-1)/r - 39/(-9) is divided by u?
1
Suppose h + n = -0*h + 15, h - 17 = -2*n. Calculate the remainder when 51 is divided by h.
12
Let i = -5 + 5. Calculate the remainder when 23 - (-3 + 4) - i is divided by 6.
4
Suppose 0 = m - 1, 0 = -4*x - 5*m + 115 - 38. What is the remainder when 64 is divided by x?
10
Suppose -4*u - 4*y = -8*y + 60, y = 2*u + 30. Let w = u + 17. Calculate the remainder when 6 is divided by w.
0
Let p = 40 - -2. Let v(g) = g**3 + 7*g**2 + 6*g + 11. Calculate the remainder when p is divided by v(-6).
9
Let x(v) = v**3 - 10*v**2 - 11*v + 13. Calculate the remainder when 49 is divided by x(11).
10
Suppose -5*i + 2*a + 235 = 0, 3*i + 0*a = 2*a + 145. Let c = -27 + i. Calculate the remainder when 52 is divided by c.
16
Suppose 4*v + 2*y - 84 = -2*y, 2*y = 4*v - 84. What is the remainder when 60 is divided by v?
18
Calculate the remainder when (3/2)/((-21)/(-1624)) is divided by 24.
20
Suppose -4 + 0 = -2*t. Suppose 0 = -t*k - 0*n + 2*n + 60, 0 = 3*k + 3*n - 108. What is the remainder when k is divided by 9?
6
Let f = -5 - -5. Suppose -3*r - 6 = 3*i, f*i - 3*r - 4 = i. Calculate the remainder when 20 is divided by (i/(-2))/((-2)/(-44)).
9
What is the remainder when (-144)/(-2) - (-3)/1 is divided by 4?
3
Suppose 2*u = -2*u + 40. Let b = u + -7. Calculate the remainder when b is divided by 3.
0
Suppose 53 = t - 4*a, -2*t = 2*a - 94 + 8. Let v = t - 25. Calculate the remainder when 1/(2*(-2)/(-152)) is divided by v.
18
Suppose -5*a + 15 = -2*a. Suppose 3*t = -s + 5, a*t - 7 - 1 = -2*s. Suppose 6*x - 40 = t*x. What is the remainder when 28 is divided by x?
8
Let b be (5 - 9)*(15 - 1). Let h = 99 + b. Calculate the remainder when h is divided by 9.
7
Suppose -82 = -5*t + 4*u, -4*t + 62 = -u - u. Calculate the remainder when t is divided by 4.
2
Let u(c) = 8*c + 1. Calculate the remainder when (4/(-2))/(2/(-49)) is divided by u(2).
15
Let j = -14 + 18. What is the remainder when (-1)/(-1)*-2 - -15 is divided by j?
1
Suppose -r + 21 = -i, 2*i = 2*r - i - 38. What is the remainder when 46 is divided by r?
21
Suppose 3*m = -4*h - 4, -4*h + 9*m - 4*m + 28 = 0. What is the remainder when 46 is divided by 48/(-9)*(-1 - h)?
14
Let a = -43 + 62. What is the remainder when a is divided by 10?
9
Let x(s) = s**2 - 3*s - 1. Calculate the remainder when x(7) is divided by 14.
13
Let y = 3 + -3. Suppose 0 = -4*x + 44 + 28. What is the remainder when x is divided by (-1 - y) + 3 + 8?
8
Let x(l) = 2*l**2 + 9*l + 1. Let b(f) = -2*f**2 - 8*f - 1. Let o(d) = -6*b(d) - 5*x(d). What is the remainder when o(-3) is divided by 3?
1
Let a = -5 - -14. Suppose -3*q + 0*q = -a. What is the remainder when 5 is divided by q?
2
What is the remainder when ((-40)/3)/((-8)/72) is divided by 31?
27
Suppose -k = -19 - 0. What is the remainder when 54 is divided by k?
16
Suppose 10*q + 180 = 20*q. Calculate the remainder when 7/(22/10 - 2) is divided by q.
17
Let o = -1 + 21. What is the remainder when 59 is divided by o?
19
Let g(c) = -c**3 + 2*c**2 + 5*c - 4. Let z be g(3). Let k = z + 0. Calculate the remainder when 5 is divided by k.
1
Suppose -m - m = t - 16, -4*t + 5*m = -77. Let j = 2 + t. Calculate the remainder when 59 is divided by j.
19
Suppose -p - 4*p + 85 = 0. Calculate the remainder when p is divided by (-1 - 8)/(3/(-2)).
5
Suppose 5*h + w + 3*w - 44 = 0, -5*w = 20. Suppose 28 = -8*d + 12*d. Calculate the remainder when h is divided by d.
5
Suppose b + 0*b = 0. Suppose 0 = -b*i + 4*i + 3*u - 47, 3*i - 3*u = 30. Calculate the remainder when i is divided by 1*0/(-2) + 6.
5
Suppose -123 = -6*h + 3*h. What is the remainder when h is divided by 22?
19
Let d(j) be the first derivative of -j**3/3 - j**2/2 + j - 4. Let m be d(0). Let z(o) = 7*o**2 + 1. Calculate the remainder when 23 is divided by z(m).
7
Suppose 3*c + 2*q = -c + 172, -4*q = 0. Calculate the remainder when c is divided by 23.
20
Let j(l) = 3*l + 2. What is the remainder when 13 is divided by j(1)?
3
Suppose a = -l + 37, 0*l + 4*l - 116 = -3*a. Suppose 5*h - 13 = 42. Calculate the remainder when a is divided by h.
10
Suppose -2*x - 3*s = x - 9, 17 = 3*x + 5*s. What is the remainder when 23 is divided by 2*(x + 7) + 1?
10
Suppose b = 4*b - 30. Calculate the remainder when 26 is divided by b.
6
Let v = 176 + -124. Suppose -2*i + 3 = -u - 1, 5*i - 10 = -4*u. What is the remainder when v is divided by 5*((-72)/(-20) - u)?
16
Let x(v) be the third derivative of v**4/6 - v**2. What is the remainder when x(1) is divided by 2?
0
Let t(y) = y. Suppose -5*r + 67 = 4*o, 5*o - 11 = -2*r + 9. What is the remainder when r is divided by t(6)?
3
Suppose -2*y - 29 = -1. Let w = y + 30. What is the remainder when 46 is divided by w?
14
Let a(m) = -3*m - 8. Calculate the remainder when 15 is divided by a(-4).
3
Let v(m) = 3*m - 7. What is the remainder when 52 is divided by v(6)?
8
Suppose 1 = -3*b + 40. Let k = -24 + 24. Suppose 4*p + 2*p - 150 = k. What is the remainder when p is divided by b?
12
