Let b = t + -31. Let z = b + 30. What is the remainder when z is divided by 10?
8
Let g(p) = -p**2 + 8*p - 6. Let q be g(9). Let y = -5 + 7. Calculate the remainder when ((-10)/q)/(y/30) is divided by 6.
4
Let z(u) = -2*u - 19. Let x be z(-11). What is the remainder when 15 is divided by (18/(-2))/(x + -4)?
6
Let q = 55 - -81. Let o(u) = u**2 + 5*u + 3. Let k be o(-5). Suppose k*v = -v + q. Calculate the remainder when v is divided by 19.
15
Suppose 106*b = 109*b - 150. What is the remainder when b is divided by 13?
11
Let g(d) = 13*d - 117. What is the remainder when g(21) is divided by 35?
16
Let m = -12 + -12. Let b = -11 - m. Suppose 2*n - 89 - 9 = 0. Calculate the remainder when n is divided by b.
10
Let z = -13 + 12. What is the remainder when 5 - z*(4 - 1) is divided by 3?
2
Suppose 6*f + 91 = -215. Let j be (-2)/(6/f) + -3. Suppose 4*a - j = -2. What is the remainder when 5 is divided by a?
2
Let s be ((-7)/2 + 4)*18/1. Suppose 3*o + s*o = 96. What is the remainder when 44 is divided by o?
4
Calculate the remainder when (-1245)/(-25) - (-12)/10 is divided by 32.
19
Suppose 4*f - 8 = 0, -2*f = 5*l - 0*f - 284. Calculate the remainder when l is divided by 12.
8
Let i(n) = 2*n**2 - n - 2. Let a be i(2). Suppose b - 3*b + 22 = 0. What is the remainder when 2 + 38/a*2 is divided by b?
10
Let b(s) = -4*s**2 - s**3 + 4*s + 9 + 3*s + 2*s. What is the remainder when -1122*8/(-112) + (-7)/49 is divided by b(-6)?
26
Let z(r) = -r**2 + 29*r + 34. Let k be (11/(-2))/(1/(-2)). What is the remainder when -2 + k - (2 - 3) is divided by z(30)?
2
Suppose 5*v = -43 + 158. Let u = v + -13. What is the remainder when 37 is divided by u?
7
Suppose -7*j - 15 = -10*j. Suppose 218 = j*u - 192. Calculate the remainder when u is divided by 42.
40
Let f(i) = i**3 + 12*i**2 - 12*i + 16. Let g be f(-13). Suppose -g*a - 47 = -2*d - 6*a, -4*a - 18 = -d. What is the remainder when 63 is divided by d?
19
Let j = 584 - 567. What is the remainder when 100 is divided by j?
15
Let j = -417 + 462. What is the remainder when j is divided by 43?
2
Suppose -h = 1, -2*h = -4*k + 45 + 1. Let u be (-3)/(-2) - (-2)/(-4). Suppose 2*y - 3*b = 27, y + 3*b = 2*b + u. Calculate the remainder when k is divided by y.
5
Suppose -6*z + 3*l + 213 = 0, 2*z - 51 = -8*l + 5*l. Let w(b) = b + 10. What is the remainder when z is divided by w(0)?
3
Suppose -65*m = -22*m - 18877. What is the remainder when m is divided by 20?
19
Let z(r) = -r**3 + 8*r**2 + 6*r + 9. Calculate the remainder when z(8) is divided by 8.
1
Suppose 2*g - 1 = 1. Calculate the remainder when 4 is divided by (-10 - -1)*g/(-3).
1
Let y = -117 - -152. Calculate the remainder when 87 is divided by y.
17
Suppose 16*d - 1311 = -3*d. What is the remainder when d is divided by 3?
0
Let b be ((8/12)/((-4)/(-6)))/1. Let w(p) = 12*p**2 - 5*p + 1. Suppose 0 = -d + 2*d - 6. Calculate the remainder when w(b) is divided by d.
2
Let v(c) = 9*c**2 - 5*c - 8. Let a(t) = t**2 - 22*t - 26. Let l be a(23). What is the remainder when v(l) is divided by 15?
13
Suppose u + 3*u + i - 135 = 0, -4*u - 3*i = -133. Calculate the remainder when u is divided by 20.
14
Let q = 5 - 0. Let k be -1 + (-4)/((-8)/142). Let y = k - 56. What is the remainder when y is divided by q?
4
Let a be 1 + -1 + 324/3. Suppose 3*g + a = 2*x, 0 = 4*x - 2*x - g - 100. Suppose -2*l - x = -3*l. Calculate the remainder when l is divided by 25.
23
Suppose 2006 = -49*i + 14207. Calculate the remainder when i is divided by 98.
53
Suppose -32 = f + 78. Let w = 216 + f. What is the remainder when w is divided by 27?
25
Suppose 0 = 4*p - 0*p - 48. Let i = p + -9. Suppose i*l - 30 = l + 3*j, -j + 41 = 5*l. What is the remainder when 15 is divided by l?
6
Suppose -117 = -3*c + 252. Let f = 142 - c. Calculate the remainder when (-750)/(-21) + (-4)/(-14) is divided by f.
17
Suppose 35 = -0*c + 5*c - s, 5*c = 5*s + 55. Calculate the remainder when 46 is divided by c.
4
Suppose 2*t - 3*q - 24 = 2*q, 0 = -2*q - 8. Suppose t*p - 2 = 0, -4*u + 2*p - 3*p = -77. What is the remainder when 74 is divided by u?
17
Let t be ((-3)/(-2))/(12/456). Let o = t - -35. What is the remainder when o is divided by 24?
20
Suppose -3*f + 46 = -5*y, -1 = -4*f - 5*y + 107. Calculate the remainder when 213 is divided by f.
15
Let p = 663 + -630. What is the remainder when 63 is divided by p?
30
Suppose 0 = 2*o + 5*q - 25, 4*o + q + 2*q = 57. Calculate the remainder when 1109 is divided by o.
14
Let r(m) = m**2 + m - 2. Let a be r(-2). Suppose -f + 3 = -3*c, a = -4*f - 4*c - 0*c + 28. What is the remainder when 15 is divided by f?
3
Calculate the remainder when 4 - (2 + -230)/2 is divided by 25.
18
Let w(l) = 0*l - 2*l + 5 - l + l. Let z(f) = f**3 + 7*f**2 - f - 5. Calculate the remainder when z(-5) is divided by w(-6).
16
Let b = 619 + -1314. What is the remainder when b/(-25) + (-1)/(-5) is divided by 11?
6
Suppose -2*t - 15 = -w + 19, -4*w + 3*t = -126. What is the remainder when 55 is divided by w?
25
Let q(m) = -m + 21. Suppose 20 = -3*l - l. Calculate the remainder when 45 is divided by q(l).
19
Let r(o) = -10*o + 122. Suppose -2*k + x = k - 319, -k + 101 = 5*x. Calculate the remainder when k is divided by r(10).
18
Let j(g) = g**3 - 50*g**2 + 3*g - 120. What is the remainder when j(50) is divided by 20?
10
Calculate the remainder when ((-22)/(-5))/(6/15) is divided by (-1 - (-9)/6) + 13/2.
4
What is the remainder when 14475/36 - 22/264 is divided by 13?
12
Let p(q) = -q**2 + 3*q - 3. Let x be p(7). Let h = -15 - x. Calculate the remainder when (15/(-10))/(342/116 + -3) is divided by h.
13
Suppose -4*n - 113 = -p, -3*n - 3*p = -5*p + 91. Let r = n - -32. Calculate the remainder when r is divided by 2*(2 - 1)*2.
1
Suppose 0 = 2*k + s + 2*s - 48, 0 = -4*k + 5*s + 96. What is the remainder when 164 is divided by k?
20
Let o(k) = k**2 - 13*k + 58. What is the remainder when 59 is divided by o(7)?
11
Suppose -2*b + 8 = 2*b. Calculate the remainder when b + (1/(-2))/(1/(-144)) is divided by 15.
14
What is the remainder when 100 is divided by ((-6)/(-4))/(6 - 315/54)?
1
Suppose 0 = -9*y + 6*y - 9, -5*r - 2*y + 294 = 0. Calculate the remainder when 177 is divided by r.
57
Let z = 433 - 414. Suppose 2*m - 2*q - q = 14, 4*q = 0. What is the remainder when z is divided by m?
5
Suppose -11*c = 11 - 297. Let w(a) = 2*a + 4. Let n be 1*(0 + -1)*-5. Calculate the remainder when c is divided by w(n).
12
Suppose 3*j + r + 2 + 1 = 0, -2*j = 4*r + 2. Let z be j/(2/(-48)) - -1. Suppose 4*s - z + 1 = 0. Calculate the remainder when 10 is divided by s.
4
Suppose 0 = -350*x + 338*x + 276. What is the remainder when 176 is divided by x?
15
Suppose 45 = 5*b - 3*b - 5*p, 4*b = 2*p + 114. Let z = 75 + -73. Suppose -z*d = 2*d - i - 60, 5*i + b = 2*d. Calculate the remainder when d is divided by 6.
3
Let b be ((-4)/(-3))/((-6)/108). Let r = b - -39. Suppose 2*g + 0*g - 114 = 0. What is the remainder when g is divided by r?
12
Suppose y + 3*k - 530 = 0, 8*y + 4*k = 6*y + 1066. What is the remainder when y is divided by 21?
14
Let s = 4 + 14. Suppose -3 = -u + s. Calculate the remainder when u is divided by ((-2)/(-3))/((-6)/(-72)).
5
Let a(s) = -s**2 + 2*s + 60. Let c be a(0). Let h = 32 + -27. Suppose h*q = -4*k + c, -2*q + 2*k + 24 = -2*k. What is the remainder when 33 is divided by q?
9
Let s(w) = 2*w**2 - 4*w - 77. Calculate the remainder when s(-10) is divided by 72.
19
Suppose -4*c = -b - 91, c - 4*c - 15 = 0. Let r be (-3)/6 - b/2. Suppose 0 = -4*u + 3*u + r. What is the remainder when u is divided by 14?
13
Suppose 5*u = -4*i + 119, -3*i + 204 = 2*u + 120. Calculate the remainder when 777 is divided by i.
23
Suppose r - 25 = -22. What is the remainder when -32*((-8)/2 + r) is divided by 6?
2
Let g(k) = -k**3 - 7*k**2 + 6*k + 7. Let a be 0 + 72/(-3) + 3. Let c = a - -13. What is the remainder when g(c) is divided by 13?
10
Let m(f) = -101*f + 8. Let t(i) = 100*i - 7. Let d(y) = 3*m(y) + 4*t(y). What is the remainder when d(1) is divided by 12?
9
Suppose 17 = -m - 0*s + 3*s, -4*s + 6 = 2*m. Let d be (-16)/m - 2/10. Suppose -d*u + 4*x = -0*x - 73, 3*x = -3. Calculate the remainder when 89 is divided by u.
20
Suppose 3*r - 5*z - 581 = 0, 2*r - z = -2*r + 786. Calculate the remainder when r is divided by 9.
8
Suppose 14*h - 60 =