nder when 1*(133 + (-5 - -3)) is divided by 12.
11
Suppose -66 = -h - 21. Suppose -u + 0*u = -3*f + 60, 5*f - 4*u = 107. Let a = f - -5. Calculate the remainder when h is divided by a.
21
Let r = 1058 + -1035. What is the remainder when 64 is divided by r?
18
Let g be (-166)/(-18) + (-10)/45. Suppose 5*l + 3*b - 7*b = 54, -b = l - g. What is the remainder when l is divided by 8?
2
Suppose -7*s = -3*s + u - 15, 24 = 4*s + 4*u. Suppose -3*y + 10 = -4*z, s*z - 2*z = 4*y - 22. Calculate the remainder when 15 is divided by 1 + 2 - (-6)/y.
3
Let d = -422 + 426. Calculate the remainder when 13 is divided by d.
1
Let c(f) = 18*f**2 + 2*f - 1. Suppose 0 = 3*p + 3*p - 216. What is the remainder when p is divided by c(1)?
17
Let u(t) = -2*t**2 - t + 1. Let d be u(2). Let g = d + 19. Suppose 8*o - 3*o = g. Calculate the remainder when 3 is divided by o.
1
Let g(b) = -b**2 + 12*b - 24. Suppose 5*q + 6*q - 33 = 0. Calculate the remainder when g(7) is divided by q.
2
Calculate the remainder when 62 is divided by (-1)/(6/102 + 0)*-2.
28
Let t = 270 - 96. What is the remainder when t is divided by 59?
56
Let a(b) = b**3 - 9*b**2 - 8*b - 3. Suppose -n + 40 = 4*c, -2*c + 20 = 2*n - 5*n. Calculate the remainder when 33 is divided by a(c).
16
Suppose 3*w - 127 = 2*q, -3*w - 4*q + 80 = -53. Let k = -31 + w. Calculate the remainder when ((-4)/(-6))/(k/558) is divided by 8.
7
Suppose 3*p = -3*p + p. Suppose 9*i + 3*i - 312 = p. What is the remainder when 75 is divided by i?
23
Suppose -q + 3*j - 11 = 0, -q - 4*j = 10 - 34. Suppose -q*w = 3*i - 38, -3*i + 3*w + 6 = 3. Suppose 6*l - i = 42. What is the remainder when 62 is divided by l?
6
Suppose -32 = y - 35. Suppose y*k = -3*b + 93, 4*k - b + 3 = 122. Let c = -10 - -21. What is the remainder when k is divided by c?
8
Suppose 2*f = -4*f - 1188. Let q be (f/27)/((-2)/(-3)). Let o(g) = g**2 + 9*g - 9. Calculate the remainder when 25 is divided by o(q).
12
What is the remainder when 197 is divided by ((-100)/(-7))/(302/1057)?
47
Let p(x) = x**3 + 6*x**2 - 6*x - 17. Let m be p(-7). Let y = m + 58. Calculate the remainder when y is divided by 15.
4
Let x(q) = -q - 9. Let k be x(-20). Suppose 0 = -c + 3*v - 6*v + k, -v = 2*c - 12. What is the remainder when c is divided by 2?
1
Suppose 2 + 4 = -3*a. Suppose -4*g = -4*h + 244, -3*g = 2*h - 0*g - 112. Calculate the remainder when h is divided by (2 - 11/a)*2.
14
Let u(c) = 71*c - 21. What is the remainder when 357 is divided by u(2)?
115
Suppose -138*s = -124*s - 560. What is the remainder when 90 is divided by s?
10
Let m(f) = f**2 - 13*f - 14. Let h be m(15). Suppose h = 3*c - 143. Calculate the remainder when c is divided by 8.
5
Let n(v) = -v**2 - 7*v - 5. Let s be n(-5). Suppose 0*f + f + 21 = 2*o, 2*o + s*f - 51 = 0. Suppose 0*i + i = o. What is the remainder when 35 is divided by i?
9
Let h(a) = -16*a - 118. What is the remainder when 70 is divided by h(-9)?
18
What is the remainder when 101 is divided by (-21 + 0)*20*(-9)/108?
31
Suppose 3*j - 4*w - 68 = 0, 28 = -2*j + w + 80. Let x(s) = -6*s**2 + 81*s - 223. Calculate the remainder when j is divided by x(9).
8
Let p = -24 + 25. Let o be p/(-4 - 65/(-15)). Suppose 0 = o*u - 4*u + 19. What is the remainder when u is divided by 5?
4
Suppose -50 = 3*r - 8*r. Let o = r + -6. Suppose 4*p - o*v - 51 = -v, -2*p + 23 = v. What is the remainder when 22 is divided by p?
10
Suppose 0 = -5*v + 773 - 88. Let b(r) = -r**3 + 2*r**2 + 4*r + 2. What is the remainder when v is divided by b(-2)?
7
Let l(d) = 7*d - 6*d**2 + 3 + 19*d**2 + 2*d - 10*d**2. What is the remainder when l(-7) is divided by 19?
11
Let z(s) = s**2 + 10*s + 51. Calculate the remainder when z(14) is divided by 39.
36
Let x be (-396)/27*(1 - 31). Let l = -314 + x. Calculate the remainder when l is divided by 32.
30
Let x = -23 + 48. Let u be (-315)/x + 3/5. Let r(k) = k**3 + 12*k**2 + 14. What is the remainder when 69 is divided by r(u)?
13
Suppose -b = 4*t - 117, 5*t = 46*b - 45*b - 135. Calculate the remainder when b is divided by 57.
11
Let u(v) = 11*v - 4. Let g be u(4). Suppose -2*i = -14 - g. Calculate the remainder when i is divided by 14.
13
Let k = -323 - -366. What is the remainder when 166 is divided by k?
37
Suppose -u + 5*b + 44 = 0, 3*b - 8 + 48 = u. Let t = 24 + 14. Suppose h - t = -4*j, 3*j + 4*h = 2*j + 17. What is the remainder when u is divided by j?
7
Let u = 41 + -7. Calculate the remainder when u is divided by 9.
7
Let v be (702/(-4))/((-3)/12). Suppose -11*c + 17*c = v. What is the remainder when c is divided by 20?
17
Suppose 11*c = 2*o + 12*c - 38, -2*o = -3*c - 30. Calculate the remainder when o is divided by 3.
0
Let n = 9 + -8. Suppose -6*x + n = -5*x. Let t = 1 + 2. What is the remainder when t is divided by x?
0
Suppose 2*k + 31 + 15 = r, -5*k = 3*r - 138. Calculate the remainder when 228 is divided by r.
44
Let o(w) = 4*w + 171. Calculate the remainder when 13 is divided by o(-41).
6
Calculate the remainder when 60/216*1698 - 2/3 is divided by 21.
9
Let s(p) = p**3 - 2*p**2. Let r be s(2). Let m be (r - 3/(-9))*9. Suppose -3*u + 3 = m*v, 0 = 3*u + 9 + 6. Calculate the remainder when 17 is divided by v.
5
Suppose 20*c - 18*c + n = 96, -2*c + 3*n = -88. What is the remainder when 232 is divided by c?
44
Let i(r) = -2*r**3 + 9*r**2 + 3*r - 4. Let f be i(-4). Suppose -4*c + 8*c - f = 0. Calculate the remainder when c is divided by 22.
20
Suppose 0 = u + 3*u - 120. Suppose -8*q + 2*q = -72. Calculate the remainder when u is divided by q.
6
Let a(l) be the third derivative of l**4/6 - 7*l**3/2 - 7*l**2. Let z(h) = -h**3 + 4*h**2 - 2. Let w be z(3). Calculate the remainder when a(w) is divided by 4.
3
Let c be (94 - -2)*50/75. Suppose 3*u = 5*u - 6. Suppose -s = 2, 5*s - c = -u*t + s. Calculate the remainder when 71 is divided by t.
23
Suppose -1 = -2*q + 41. Let m = -15 + q. Let a = m - -3. Calculate the remainder when 16 is divided by a.
7
Let s = 1370 - 1349. Calculate the remainder when 1110 is divided by s.
18
Let g = 6533 - 2106. Calculate the remainder when 81 is divided by g/209 - 4/22.
18
Suppose 4*q = 2*j - 4, -5*j + 5*q - 3*q + 26 = 0. Let i = -5 + j. What is the remainder when ((-2 - -9) + -2)*i is divided by 4?
1
Suppose -18*z = -17*z - 175. Suppose d = -4*d + z. What is the remainder when d is divided by 18?
17
Suppose l - 15 = -4*l. Suppose -x + 4*n = -85, 5*x - 349 = -0*x + n. Let k = -60 + x. What is the remainder when k is divided by l?
0
Let o(w) be the first derivative of w**3/3 - 5*w**2/2 - 15*w - 4. What is the remainder when 15 is divided by o(8)?
6
Let v(k) = k**2 + 8*k + 23. Let y be v(-7). Suppose 4*m + 4*l = 124, -m + 7*l - 3*l = -y. What is the remainder when 166 is divided by m?
26
Let h be 2/(-5) - (0 + (-1092)/30). Suppose 35*k - h*k + 7 = 0. Let f(n) = -n**3 - 8*n**2 + 2. What is the remainder when k is divided by f(-8)?
1
Suppose 35*u - 37*u = -114. What is the remainder when 281 is divided by u?
53
Let d be 1428/(-15) + 6/30. Let u = 153 + d. Let q = -22 - -37. What is the remainder when u is divided by q?
13
Let g = -1146 + 1391. Calculate the remainder when g is divided by 66.
47
Let h(f) = -f**3 - 7*f**2 - 7*f + 7. Suppose -14*t + 189 = -693. Calculate the remainder when t is divided by h(-6).
11
Suppose 6*m = -121*m + 3175. What is the remainder when 1122 is divided by m?
22
Let q = 3 + 2. Suppose 31 + 37 = 5*f - a, 4*a = -q*f + 78. Let i(h) = h**3 - h**2 + 3*h - 6. What is the remainder when i(4) is divided by f?
12
Let w(i) = -35*i - 113. What is the remainder when w(-6) is divided by 20?
17
Suppose 4*d - 25 = 3*n, -4*d - 3*n - 19 = -50. Let r = 11 - d. Let q = r + 16. What is the remainder when q is divided by 11?
9
Let h be 268/(-6)*18/(-12). Let q = h + -20. Calculate the remainder when q is divided by 12.
11
Let q = 15 - -1. Suppose -18*d + q*d + 32 = 0. Calculate the remainder when 29 is divided by d.
13
Let x = -14419 + 14439. Let k(t) = t**3 - 5*t**2 + 2*t - 9. What is the remainder when k(6) is divided by x?
19
Suppose -6*a - 6224 = -27554. What is the remainder when (a/(-25))/3*-5 is divided by 15?
12
Suppose -4*u - 39 = 4*n + u, 0 = -2*n - u - 15. Let q(p) = p**3 + 7*p**2 + 4*p - 4. What is the remainder when (2*12)/(-1 - -3) - -2 is divided by q(n)?
6
Let l(w) = -w**3 + 8*w**2 + 16*w - 29