.
4
Suppose -11*u = -50*u + 624. What is the remainder when 188 is divided by u?
12
Suppose 3564 = -82*q + 36938. What is the remainder when q is divided by 12?
11
Suppose -w - 5 = -2*t, -3 + 4 = -t - 3*w. Suppose 3*y - t = 4. Calculate the remainder when 8 is divided by y.
0
Let b(o) = -o**3 - 7*o**2 - 2*o - 4. Calculate the remainder when 1674/63 - (-6)/14 is divided by b(-7).
7
Suppose 21*i - 24*i + 80 = 5*s, -4*i - 5*s + 100 = 0. Let h(m) = -2*m**3 - 3*m**2 + 2*m + 5. What is the remainder when h(-4) is divided by i?
17
Let w = -39 - -37. Let l = w + 28. Suppose -2*j + 5*b = -82, 4*j = -3*b - l + 138. What is the remainder when j is divided by 17?
14
Let u be 14/18 - 8/(-36). Suppose -5 - u = 3*b - 3*w, -4*b = -5*w + 13. Calculate the remainder when 14 is divided by b.
2
Let a(z) = -z - 7. Let g be a(-9). Suppose 4*d + g = 18. Suppose 5*x - 2 = -2*p, -6*x + x - 64 = -d*p. Calculate the remainder when p is divided by 6.
5
Suppose -128*g = -123*g - 10. Suppose 0 = -q - g*q - 9, -57 = -x - q. Calculate the remainder when x is divided by 33.
27
Suppose 2*f = -0*f + 12. Let w = f - 12. What is the remainder when 29 is divided by (-50)/(-3) - (-4)/w?
13
Suppose 60*d = 56*d + 92. Suppose 0 = 3*g - 6*g + 126. What is the remainder when g is divided by d?
19
Suppose 0 = 6*r - 2*r - 44. Let p = 2797 + -2762. What is the remainder when p is divided by r?
2
Let i = -15 - -72. Let j = 82 - i. Calculate the remainder when 71 is divided by j.
21
Let r(t) = t**2 + t. Let n(p) = 6*p**2 + 4*p - 113. Let q(j) = -n(j) + 4*r(j). Calculate the remainder when q(0) is divided by 29.
26
Suppose 3*v - 2*o - 51 = 2*o, o + 17 = v. Let t(q) = 2*q**2 - q + 20. What is the remainder when t(5) is divided by v?
14
Let u(o) = o**3 - 7*o**2 - 6*o - 4. Let t be u(9). Let n be (306/(-4))/((-1)/2). Let h = n - t. Calculate the remainder when h is divided by 17.
15
Let h(t) = -t**2 + 13*t - 12. Let r be h(8). Suppose -w = -3*m - r, -w + 25 = -3*m + m. Calculate the remainder when 74 is divided by w.
17
What is the remainder when 45 is divided by 9 + -1 - (-24 + 16)?
13
Let z = 29 - 47. Let k = 16 - z. What is the remainder when 66 is divided by k?
32
Suppose -3*z + 1860 = 17*z. What is the remainder when z is divided by 37?
19
Suppose q + 5*h - 53 = -23, 2*q - 3*h - 60 = 0. Calculate the remainder when 76 is divided by q.
16
Suppose 0 = -2*p + 5*p - 12. Suppose p*o + 2 = -3*k + 42, 51 = 5*o + 4*k. Let s = o + 15. Calculate the remainder when 63 is divided by s.
19
Let r = 33 - 30. Suppose l = -3*b + 7, r*b = 4*l - 2*b - 45. What is the remainder when 18 is divided by l?
8
Let i(h) = 40*h - 858. Suppose -4*z + 72 = 5*d, 4*z - 48 = -4*d + d. Calculate the remainder when i(22) is divided by d.
10
Let q = -6 - -15. What is the remainder when 110/3 - 6/q is divided by ((-351)/9)/((-30)/10)?
10
Let z(a) = -2*a + 1. Calculate the remainder when (-29 + -7)*(-14)/6 is divided by z(-14).
26
Suppose -1320 = -23*x + 8*x. What is the remainder when 1670 is divided by x?
86
Let o = -136 + 154. Let z = 3 - -2. Suppose -135 = -4*h - u, -z*h - 5*u = -h - 131. Calculate the remainder when h is divided by o.
16
Let n be 4 + 0 + (3 - -21). Let g = -13 + n. Suppose -3*h + 51 - g = 0. What is the remainder when 33 is divided by h?
9
Suppose -16*m - 17 = -481. Calculate the remainder when m is divided by 8.
5
Suppose -5*k = 2*a - 30 + 25, -a - 4*k = -1. What is the remainder when 27 is divided by a?
2
Let d(m) = 2*m**2 + 11*m - 14. Let s be d(-9). Let b = s - 34. What is the remainder when 59 is divided by b?
14
Let c(f) = f**3 + 9*f**2 + 3. Let n be c(-9). Let v(r) = -r**2 + 13*r + r - n - 2*r + 0*r. What is the remainder when v(11) is divided by 5?
3
Suppose 1813 + 4105 = 11*a. What is the remainder when a is divided by 20?
18
Let a(l) = 3*l**2 - 20*l + 1. What is the remainder when a(16) is divided by 90?
89
Let y = -35 + 100. Suppose -74 = -w - w - s, 3*w - 113 = -2*s. What is the remainder when y is divided by w?
30
Suppose 0 = -3*u + 3*p + 138, -16 = -5*p + 4. What is the remainder when 147 is divided by u?
47
Suppose 0 = 4*h - 77 - 79. What is the remainder when 535 is divided by h?
28
Calculate the remainder when 115 is divided by 24 + (10/(-35))/(4/(-14)).
15
Suppose -8*g = -137 - 343. What is the remainder when 2218 is divided by g?
58
Suppose 0 = -5*g + 2*k - 281, 0*g + 5*k = -5*g - 260. Let a(f) = f**2 + f - 32. Let o be a(0). Let j = o - g. What is the remainder when 45 is divided by j?
22
Let x be -11 + 12 + -9 + -1. Let c be (222/x)/(4/(-6)). Let f = c - 14. Calculate the remainder when f is divided by 6.
5
Let b(k) = -13*k + 17*k - 6*k + 69. What is the remainder when 34 is divided by b(28)?
8
Let c(y) = -y**3 - 7*y**2 + 11. What is the remainder when 87 is divided by c(0)?
10
Let s(p) = p**3 + 5*p**2 + 3*p. Suppose -o = o - 12. What is the remainder when (-120)/(-9) - 2/o is divided by s(-4)?
1
Let o be (-18)/9*(-6)/4. Let j(t) = 37*t - 2. Let m be j(o). Let g = -47 + m. Calculate the remainder when g is divided by 21.
20
Suppose -p = -4*h, 0 = -2*p - p + 5*h. Suppose p = k + 4*k - 20. What is the remainder when 37 is divided by k/(-5) + 138/10?
11
Calculate the remainder when 151 is divided by 2028/30 - ((-21)/15 + 1).
15
Suppose g = 6*g + 3*v - 247, 0 = -2*v + 8. What is the remainder when 178 is divided by g?
37
Calculate the remainder when (-15330)/(-50) - (-15)/(-25) is divided by 32.
18
Suppose 7*r = 6*r - 5, -s = 4*r - 109. Calculate the remainder when s is divided by 33.
30
Let p(a) = -73*a - 10. Let x be p(-4). What is the remainder when 54 is divided by x/15 + 3/15?
16
Let o(w) = 3*w**3 + w**2 + 3*w + 7. What is the remainder when o(3) is divided by 10?
6
Suppose d + 3*l - 45 = 0, -4*d = 5*l + 11 - 170. Let s = 29 + -51. Let a = s - -41. What is the remainder when d is divided by a?
17
Suppose -3*o = -4*l + 68, -2*o = -2*l - o + 32. Suppose -2*w - 79 = -3*u, -1 = -u - 5*w + l. Calculate the remainder when 48 is divided by u.
23
Let z(d) = -24*d**3. Let g(i) = -3*i - 34. Let l be g(-11). Let k(o) = 2*o**2 - 7*o - 2. What is the remainder when z(l) is divided by k(5)?
11
Let t = 78 - 75. Suppose t*c + 15 - 63 = 0. What is the remainder when 27 is divided by c?
11
What is the remainder when 16/(-88) - 34*140/(-44) is divided by 22?
20
Let f(r) = r**3 + 10*r**2 - 3*r - 24. Calculate the remainder when 58 is divided by f(-10).
4
Let n = -5 + 76. Calculate the remainder when n is divided by 9.
8
Suppose 0 = 3*m + 2*m. Suppose -t = -m*t - 16. Let v(i) = i**3 - 23*i**2 + 41*i + 30. What is the remainder when t is divided by v(21)?
7
Let d(t) = t - 4. Let u be d(8). Let h be ((-6)/u)/((-3)/4). What is the remainder when 2 is divided by (h - 9/6)*4?
0
Let d(q) = -10*q**2 - q. Let r be d(1). Let j(c) = 12*c + 12 + c**2 - 4*c + 2*c. What is the remainder when j(r) is divided by 8?
7
Let q = -13 - -17. Let z = -25 + 124. Suppose -z = -q*v + 69. Calculate the remainder when v is divided by 22.
20
Let a = 1988 - 1669. What is the remainder when a is divided by 3?
1
Let m(a) = -a. Let t = 2523 - 2500. Calculate the remainder when t is divided by m(-4).
3
Suppose 6*v + 150 = 3*v. Let m = 92 + v. What is the remainder when m is divided by 0 - (-21 + 0 + -1)?
20
Suppose -3*j = 133*s - 131*s - 113, -5*j + 188 = 3*s. What is the remainder when 88 is divided by j?
14
Let b = -72 - -131. What is the remainder when b is divided by 3/(-12) + (-98)/(-8)?
11
Suppose -3*u + 4 + 2 = 0. Let q = 5 - u. Suppose 4*w - q*r = 5, 5*w - 52 = -2*r - 17. What is the remainder when w is divided by 3?
2
Let f = -7 + 81. Suppose b - 5 = 4*q, 3*b + 2*q - f = -b. What is the remainder when 66 is divided by b?
15
Calculate the remainder when 11/((-132)/(-8872)) - (-2)/(-6) is divided by 57.
55
Let a(f) = 11*f - 28. Let l be a(8). Suppose -6*g + l = -g. Calculate the remainder when g is divided by 3.
0
Let a(s) = -7 - 21 + 3*s + 2*s. What is the remainder when 45 is divided by a(8)?
9
Calculate the remainder when 3*(-6 - -5) - -58 is divided by 43.
12
Let x(l) = -5*l + 36. Let z be x(7). Let t(w) = 44*w**3 - w**2 + 2*w - 1. Calculate the remainder when t(z) is divided by 17.
10
Let j(n) = -4*n + 88. What is the remainder when j(12) is divided by 11?
7
Let m(u) = u**2 + 24*u + 59. Calculate the remainder when m(-22