y q.
6
Suppose 0*r = -2*r. Suppose -4*t - 34 + 14 = r, 2*t = -2*z + 36. Let x(w) = 3*w - 4. What is the remainder when z is divided by x(4)?
7
Suppose 9*a = a + 200. Let o(v) = -2*v**3 - 6*v**2 + 5*v - 12. What is the remainder when o(-6) is divided by a?
24
Suppose -2*g = g - 2*d + 8, -d + 4 = -4*g. Suppose g*t = 5*t - 45. Suppose 2*s - 3*s = -3. What is the remainder when t is divided by s?
0
What is the remainder when 65 is divided by 102/4*8/12?
14
Let m(n) = n**3 + 8*n**2 - 5*n + 8. Let k be m(-9). Suppose 11*o - 161 = 202. Let s = o + k. Calculate the remainder when 6 is divided by s.
1
Suppose -2*r = 5*l - 0*r - 25, -l = -r - 12. Suppose 6*f + 3 = l*f. What is the remainder when 10 is divided by f?
1
Suppose 4*p + 5*z = 40, 2*p + 3 + 7 = 5*z. Let r be (2 + (-2 - 3))/(-1). Let m(q) = 7*q - 3. Calculate the remainder when m(r) is divided by p.
3
Let g(u) = 4*u + 16. Let x be g(20). Let m = x + -91. What is the remainder when m is divided by 5?
0
Let i(q) = 39*q - 111. What is the remainder when (-2)/5 + 42/5 is divided by i(3)?
2
Let h = -309 - -372. What is the remainder when h is divided by 22?
19
Let t(z) = z**2 + 680 - 330 - 2*z**2 + 19*z - 315. What is the remainder when 135 is divided by t(19)?
30
Let t(f) be the first derivative of f**4/4 + 5*f**3/3 + 3*f - 1. Calculate the remainder when t(-4) is divided by 370/93 - 114/(-5301).
3
Let u(m) = -27*m - 14. What is the remainder when u(-2) is divided by ((-6)/4)/((-1)/14)?
19
Let d = -1415 - -1457. What is the remainder when 459 is divided by d?
39
Let z(h) = -h**3 - 17*h**2 + 13. Let u be z(-17). Suppose 3*i = 2*q + 46, 3*i + 4*q - u = 3. Calculate the remainder when -1 - -4 - (-31 - 1) is divided by i.
11
Suppose 92 + 73 = 15*m. Calculate the remainder when 30 is divided by m.
8
Let a(p) = p**3 + 14*p**2 + 4*p + 2. What is the remainder when a(-13) is divided by 35?
14
Suppose 32*n - 7544 = -60*n. Calculate the remainder when n is divided by 14/(-6)*(-24)/2.
26
Let m be -4 + 4 + (-30)/(-1). Suppose 3*i + 3 = m. What is the remainder when 16 is divided by i?
7
Suppose 0 = 2*a + t - 920, -11*a + 9*a - 2*t + 916 = 0. Calculate the remainder when a is divided by 31.
28
Suppose 3*b + 2*h = -91, -2*b + 2*h - 17 - 37 = 0. Let x = -20 - b. Suppose -8*a - 6 = -30. What is the remainder when x is divided by a?
0
Let q(s) = -2 + 5 - 5 - 2*s**2 - 3*s - 3*s**3 - 4*s**3. What is the remainder when q(-2) is divided by 18?
16
Suppose 0 = 4*s - 2*v - 190, 5*s - 5*v - 181 = s. What is the remainder when 291 is divided by s?
46
What is the remainder when (6/5)/(9/75) is divided by 7?
3
Let g = -14 - -21. Suppose g = 3*l - 11. Let i(x) = -20*x**3 + x**2 + 7*x + 7. What is the remainder when i(-1) is divided by l?
3
Let j be (57/(-38))/((-2)/4). Suppose -25 = -3*z - 5*b, j*z - 27 = -7*b + 4*b. What is the remainder when z is divided by 5?
0
Suppose 5*n + 2*q - 15 = q, 4*q = -2*n + 6. Let i be -1 + 20 - 2 - n. What is the remainder when 21 is divided by 7*(-24)/i*-1?
9
Let a = 83 - -107. Calculate the remainder when a is divided by 98.
92
Calculate the remainder when (-21)/(-28) - 2345/(-20) is divided by 36.
10
Suppose -4*n + 159 = -7*n. Let q = -252 - -261. What is the remainder when (-3)/6 + n/(-2) is divided by q?
8
Let w = -76 + 96. Calculate the remainder when 119 is divided by w.
19
Let w be 5/(-3) + (-15)/(-9). Suppose -s = -u + 8, 3*u + u - 5*s - 30 = w. What is the remainder when 19 is divided by u?
9
Calculate the remainder when 315 is divided by (-12 + (27 - 9))*(-158)/(-12).
78
Let s(f) = -f**3 - 9*f**2 + 11*f + 13. Let o be s(-10). Suppose -o*m = -m + 292. Let i = m + 208. Calculate the remainder when i is divided by 16.
14
Let t = 73 + -51. Suppose 3*s + t = 70. What is the remainder when 60 is divided by s?
12
Let t(c) = -5*c - 1. Let a(f) = f**2 - 14*f - 17. Let v be a(15). Let h(u) = 3*u - 6. What is the remainder when h(7) is divided by t(v)?
6
Let n(y) = 2*y + 1. Let j be n(-1). Calculate the remainder when ((-108)/(-15))/((-3)/(-10)) is divided by j/2 + 38/4.
6
Let s be (5 - 0 - -2)*3. Let v = s - 15. Suppose -a = v*d - d - 275, -3*d - 3*a = -177. Calculate the remainder when d is divided by 19.
16
Calculate the remainder when 28 is divided by (-4 - -5)*-10*3/(-6).
3
Let d = 72 + 215. Suppose 56*r - 37*r - 76 = 0. Suppose -3*x + d = r*x. What is the remainder when 161 is divided by x?
38
Let s(a) = a**2 - 50*a + 533. What is the remainder when s(37) is divided by 13?
0
Let t = -1020 - -1089. What is the remainder when t is divided by (6/(-2))/(2/(-12))?
15
Suppose -2*a + 2*v + 72 = -162, 5*a + 4*v = 594. Calculate the remainder when a is divided by 43.
32
Let t = -4 - -8. Let g be t/10 + 494/(-10). Calculate the remainder when 4 is divided by g/(-14) + (-2)/4.
1
Let u = -1 + 11. Calculate the remainder when 40 is divided by (-214)/(-10) - (-3 - (-34)/u).
19
Let x(q) = 3*q. Let v(u) = -u**3 + 3*u**2 + 2. Let b be v(2). Suppose -3*n = -b*n + 51. What is the remainder when n is divided by x(2)?
5
Suppose 116*i = 117*i + 4*q - 166, -5*i + 4*q + 806 = 0. What is the remainder when i is divided by 88?
74
Let m = -35 - -50. Suppose -x - x + 26 = 0. Suppose -15 = -o + x. Calculate the remainder when o is divided by m.
13
Suppose 5*x + 2*s + 1 = 15, -2*s + 12 = 4*x. Calculate the remainder when 2 + 10/(3 - 1) is divided by ((-250)/(-65) - 2) + x/13.
1
Let v(w) = -w**2 - 21*w - 14. Calculate the remainder when v(-9) is divided by 12.
10
Suppose -8*z = -3*z - 250. Let f be 0 + 1 - (-11 - -8). Suppose f*k + 54 = 158. Calculate the remainder when z is divided by k.
24
Let c be (-6 + -96)/((-3)/4). Let j be (-1)/(-5) - c/(-20). What is the remainder when 34*((-28)/(-8))/j is divided by 10?
7
Let f be 1/6 - 116/(-24). Suppose -2*x + 27 = -y, -56 = -f*x - 2*y + 7. Calculate the remainder when 63 is divided by x.
11
Let z(o) be the first derivative of 41*o**2/2 - 13*o - 21. What is the remainder when z(2) is divided by 10?
9
Let j(m) = 25*m**2 + 2*m - 2. Let o be j(1). Suppose -15 = -o*u + 20*u. Let n(a) = a**2 - 2*a - 5. What is the remainder when n(5) is divided by u?
1
Suppose 8 = -3*i + 20, -1229 = -5*w + 4*i. Calculate the remainder when w is divided by 28.
25
Let f(l) = l**3 + 13*l**2 + 21*l - 8. Let n be f(-11). Calculate the remainder when 9 is divided by (-2)/(32/12 - n).
3
Suppose 4*a - j = -0*a + 6, 2 = -4*a - 3*j. Let t = a - -34. Calculate the remainder when t is divided by 18.
17
Let n = 1492 - 1345. What is the remainder when n is divided by 10?
7
Suppose -s = 4*g - 2219, -65*g + 61*g + 2228 = 4*s. What is the remainder when g is divided by 115?
94
Let f = 175 + 33. What is the remainder when f is divided by 15?
13
Suppose -q = -5*d + 19, 3*d - 16 = -0*d - 4*q. Suppose -x + 24 = 5*r, -d*r - 4 = -5*x - 29. Calculate the remainder when 15 is divided by r.
0
Let g = -36 - -42. Calculate the remainder when -96*((-21)/g - -3) is divided by 10.
8
Suppose 2*p = 7*p - 2*r - 89, 2*p - 2*r = 32. Calculate the remainder when p is divided by 16.
3
Suppose -y = 4*u - 1019, -6*u + 4*u - 2*y = -514. Calculate the remainder when u is divided by 64.
62
Suppose 2*w - 12 = 3*l - l, 4*l + 16 = 3*w. Let x(c) = -2*c**2 - 68*c - 234. Calculate the remainder when w is divided by x(-30).
2
Let u = -118 - -153. Suppose 9 = -k + 112. What is the remainder when k is divided by u?
33
Let m be (36/24)/(2/(-4)). Let t(a) = 3*a**2 - 7. Calculate the remainder when t(m) is divided by 14.
6
Suppose 82 = 10*q - 158. Let d = -165 + 84. Let g = d - -150. Calculate the remainder when g is divided by q.
21
Let d(a) = -9*a + 22. Let r(g) = 8*g - 21. Let n(y) = -4*d(y) - 5*r(y). What is the remainder when 32 is divided by n(0)?
15
Let j be -2 + (3 - 5)*-2. Suppose 2*u = z + 24, 0 = 3*u - j*u - 2*z - 15. Let t = 52 + -34. What is the remainder when t is divided by u?
7
Suppose 0 = -7*k + 60 + 1368. What is the remainder when k is divided by 42?
36
Calculate the remainder when (-2)/(-10) + (135720/50)/18 is divided by 29.
6
Let q = 31 - 31. Suppose -5*y + q*u = u - 186, 0 = -y - 5*u + 18. What is the remainder when y is divided by 13?
12
Let m(p) = -31*p + 3. Let h be m(-3). Suppose 3*r + r = h. Let y = -192 + 201. What is the remainder when r is divided by y?
6
Suppose -44*r - 40315 = -133463. What is the remainder when r