.
3
Suppose -870 = -6*h - 162. Suppose 6 = c - 18. What is the remainder when h is divided by c?
22
Suppose 17*z = 18*z - 18. Suppose -z*g + 21*g = 180. Calculate the remainder when g is divided by 17.
9
Let r = -11 - -5. Calculate the remainder when 1*21 + (-4 - 18/r) is divided by 12.
8
Let l = 23 - 12. Let i(z) = 19*z**2 - 9*z - 10. Calculate the remainder when i(-1) is divided by l.
7
Let t(k) = 12*k**2 - 4*k + 3. Let m = -195 - -218. What is the remainder when t(2) is divided by m?
20
Suppose 463 = 5*h + 5*l - 257, 4*h - 3*l - 541 = 0. Calculate the remainder when h is divided by 16.
11
Suppose 0 = -3*l - u + 29, -13 = -5*u - 3. Suppose -3*g + 8*g = 0. Suppose g = 6*p - 14 - 10. What is the remainder when l is divided by p?
1
Let b = 22 - -4. Suppose t + 3*t + 2*j + b = 0, -36 = 4*t + 4*j. Let z(o) = -o**3 - o**2 + 2*o - 3. What is the remainder when z(t) is divided by 10?
7
Let i(n) = -n**2 + 2*n + 17. Let l be i(-4). Calculate the remainder when 11018/98 + 3/l is divided by 19.
17
Let b be 3 + -58*9/(-6). What is the remainder when -5*((-2274)/b + (-1)/3) is divided by 43?
42
Suppose 5*s + 3*o - 102 = 53, -s = 5*o - 53. Calculate the remainder when 279 is divided by s.
27
Suppose -4 = w + 30. Calculate the remainder when 14 is divided by w/(-8) + 24/32.
4
Let y(p) = 3*p. What is the remainder when 24/(1 - (-5)/10) is divided by y(3)?
7
Let h = -54 + 57. Calculate the remainder when 110 is divided by h/(-3) - (-17)/1.
14
Suppose 3*u + 2 - 5 = 0. Suppose u = 4*f - 39. Suppose -19*t + 14*t = -20. Calculate the remainder when f is divided by t.
2
Let g = 140 - 123. Calculate the remainder when g is divided by 10.
7
Suppose 5*f = 3*b - 260, f + 440 = 5*b - 4*f. Suppose -3*s - 4*a = -290, -s + b = -0*s - 2*a. What is the remainder when s is divided by 24?
22
Let g(u) = -20*u + 4. Let x(j) = -33*j + 9. Let i(s) = 10*g(s) - 6*x(s). Let t(d) = 6*d + 1. Let l be t(-2). Calculate the remainder when 15 is divided by i(l).
7
Suppose 7*g = 14*g - 105. Suppose 0 = 5*y - g, 0 = 6*a - 2*a + 3*y - 137. Calculate the remainder when a is divided by 18.
14
Suppose -3*o + 7*o + 5*b = 104, -5*o = 3*b - 117. Let q(x) = 20*x + 4. Calculate the remainder when q(6) is divided by o.
19
Let m = -11 + 21. Suppose -m = -c - 4*q + 6, -4*q + 48 = 5*c. Suppose -70 = -4*f + 2*t, 5*f + 4*t - 80 = 27. What is the remainder when f is divided by c?
3
Suppose -o - 3*b = 4*o - 63, -2*o = b - 25. Let n(h) = -3*h**2 + 53*h - 21. What is the remainder when n(16) is divided by o?
11
Suppose 23 = t + 4*k, 3*k + 11 = 2*t - 2. Suppose 5*a + 3*l = 0, 15 = -l - 2*l. Let r(u) = 5*u**2 - 5*u + 2. What is the remainder when r(a) is divided by t?
10
What is the remainder when (-1258)/(-14) - (-6)/42 is divided by 24?
18
Suppose -8*w + 297 = 81. Calculate the remainder when 95 is divided by w.
14
Suppose -4*q + 399 = -49. Let u(d) = -d**3 - d + 22. What is the remainder when ((-36)/(-16))/(4/q) is divided by u(0)?
19
Suppose -4*r - 5*c - 849 = 135, r + 3*c + 253 = 0. Let p = -96 - r. What is the remainder when p is divided by (-333)/(-3)*((-55)/15 - -4)?
34
Suppose 3*z = -2*c + 70, -c - 30 = 6*z - 7*z. What is the remainder when 144 is divided by z?
14
Let r(k) = 51*k - 327. Calculate the remainder when 867 is divided by r(7).
27
Suppose 3*a + 5 = -4. Let s = 11 - 10. Calculate the remainder when 0 + (s - -23 - a) is divided by 10.
7
Suppose 3*t - c = 121, 2*c + 124 + 76 = 5*t. Calculate the remainder when 456 is divided by t.
36
Suppose -4*c - m - 11 = -131, -5*c + 171 = -4*m. Calculate the remainder when 306 is divided by c.
27
Let y = -47 - -4. Let h = y - -65. What is the remainder when 86 is divided by h?
20
Let p(z) = -9*z - 1. Let x(f) = -2*f - f**2 + 1 + f**2 - 2*f**2 + f. Let o be x(-2). Calculate the remainder when p(o) is divided by 23.
21
Let y = 351 - 239. Let q(g) = 3*g**2 - 22*g + 97. What is the remainder when y is divided by q(4)?
55
Let p be 2/4*40/4. Suppose -4*k + 3*k = p*b - 54, k - b - 24 = 0. What is the remainder when k is divided by 11?
7
Suppose b = -2, -5*p - b = -2*b - 42. Calculate the remainder when (-12)/(-21) - 430/(-7) is divided by p.
6
Let s(q) = q**3 - 4*q**2 - q + 3. Let n = 119 + -116. What is the remainder when (-87 - n)*(-3 - (-3 - -1)) is divided by s(5)?
21
Let h be -3*(323/(-3) - -2). Suppose 2*k = 2*m - 7*m + h, -3*k + 118 = 2*m. What is the remainder when m is divided by 17?
14
Suppose 31 = j - f, -3*j + 9 = 3*f - 78. Let x = j - 28. Suppose 18 = -w + x*w. Calculate the remainder when 51 is divided by w.
15
Let b = 42 - 25. Suppose 55 = 3*a + 4*y, a + y = -3*a + 56. Suppose -a*v - 368 = -1434. Calculate the remainder when v is divided by b.
14
Suppose 2*c = 3*c - 52. What is the remainder when 89 is divided by c?
37
Let i(c) = -c**2 - 8*c - 10. Let q be i(-6). Suppose 5*w = q*b + 836, -4*w = 5*b - 26 - 656. What is the remainder when 1 + w/((-3)/(-1)) is divided by 15?
12
Let b(z) be the third derivative of z**6/120 + 17*z**5/60 + 11*z**4/12 + 13*z**3/6 + 13*z**2. Calculate the remainder when b(-15) is divided by 34.
31
What is the remainder when ((-3740)/(-3))/10 - 4/6 is divided by 39?
7
Let v = 361 + -99. What is the remainder when v is divided by 66?
64
Let n = 34 - 30. Suppose -11*b + n*b = -245. Suppose 4*l + 40 = 2*u, 2*l - 28 = -u + 6*l. Calculate the remainder when b is divided by u.
11
Suppose 5*t + w = 64, 8 = 4*t - 2*t - 4*w. Let i be (t/20)/((-2)/(-10)). Let l = i + 1. What is the remainder when l is divided by 3?
1
Suppose 20 - 50 = -5*a. Suppose 0 = -a*z - 1 + 13. What is the remainder when z is divided by 2?
0
Let d be (10/(-4))/((-5)/10). Suppose c + 4*c = 4*z - 68, -d*c = 0. Suppose -4*i = i - 50. Calculate the remainder when z is divided by i.
7
Suppose 2*a + 12 = 4, 3*y - 4*a = 16. Suppose y*k - k = -67. Let s = -233 + 247. What is the remainder when k is divided by s?
11
Let m(a) = -a**3 - a**2 + a - 1. Let o be m(-4). Suppose -4 = 4*n, 3*c - 4*n = -o + 110. Let b = 9 - -31. What is the remainder when b is divided by c?
19
Let l = -29 + 9. Let j = 30 + l. What is the remainder when 55 is divided by (16/j)/((-6)/(-105))?
27
Suppose -5*q + 74 = 44. Let f = q + 2. Calculate the remainder when 14 is divided by f.
6
Let c(k) = -k**3 + 5*k**2 - 2*k - 4. Suppose -12 = -d - 8. Suppose 4*o + 1 = 4*l - 7, d = 2*o. What is the remainder when c(l) is divided by 3?
1
Let v(i) = i**2 - 17*i + 22. Calculate the remainder when v(17) is divided by 13.
9
Suppose -14*l + 38*l = 744. What is the remainder when 80 is divided by l?
18
Let w(t) = -t**2 + 12*t + 45. Let u be w(16). Let p = 72 - u. Calculate the remainder when p is divided by 20.
11
Suppose 5*r + 24 = r. Let k be ((-4)/r)/((-1)/(-27)). Suppose -5*d = -5*o - 70, 2*d - 3*o - k = 12. Calculate the remainder when 21 is divided by d.
9
Let i = -129 + 136. Calculate the remainder when 13 is divided by i.
6
Let s = -11 + 0. Let g = -2 - s. What is the remainder when 34 is divided by g?
7
Suppose -6 = -5*p - 2*j - 3, 5*p + 25 = 5*j. What is the remainder when 6*(-3)/27*102/p is divided by 18?
14
Suppose q + 2*q - 39 = 0. Suppose 0 = 4*d - 16 - 60. Let r = d - q. Calculate the remainder when 17 is divided by r.
5
Let v(k) = -6*k + 69. What is the remainder when 164 is divided by v(4)?
29
Let v(r) = -2*r - 15. Let o be v(-9). Suppose 5*s = -f + 193, -o*s + 2*s - 1 = 0. What is the remainder when f is divided by 25?
23
Let n(w) = w**2 - 3*w. Let c be n(2). Let z(o) = -4*o + 3. Calculate the remainder when 17 is divided by z(c).
6
Let u(r) = 9*r + 1. Let o be u(-2). Let n = -7 - o. What is the remainder when n is divided by 6?
4
Suppose 0 = 5*r - 2*w - 16, -4*r + 3*r - 2*w - 4 = 0. Let j = 378 - 374. What is the remainder when j is divided by r?
0
Suppose 0 = -5*i + 38 + 42. Let b be i/(-6)*3/(-2). Suppose -h = -b - 9. Calculate the remainder when 51 is divided by h.
12
Let u(t) = t**2 - 17*t - 248. What is the remainder when u(-12) is divided by 2?
0
Let k = 29 - 11. Let w = 42 - k. Calculate the remainder when 47 is divided by w.
23
Suppose -1409 = -5*a + c, 0 = 4*a + 3*c + 2*c - 1104. What is the remainder when a is divided by 57?
53
Suppose 0 = -2*l - x + 94, 2*l + 25*x - 26*x = 102. What is the remainder when 487 is divided by l?
46
Suppose 5*z = i - 4*i + 315, -2*i = -z - 210. What is