uppose -i - 8 - 9 = 0. What is the remainder when 48 is divided by (-3 - i) + 6/(-6)?
9
Let k be (-4)/3*-3 + 12. Let j = 66 - k. What is the remainder when j is divided by 27?
23
Suppose s = -1, -2*h + 45 - 4 = 5*s. Calculate the remainder when 137 is divided by h.
22
Suppose -5*k - 5*x + 360 = 0, 12*x - 14*x = 0. Calculate the remainder when 126 is divided by k.
54
Let z = -5608 + 5647. Let m(y) = y**3 + 2*y**2 - 3*y + 4. Let k be m(-3). Suppose k*v = -2 + 82. Calculate the remainder when z is divided by v.
19
Suppose -u - 4*m - 14 = u, -2*u = 2*m + 6. What is the remainder when 72/(4 + -1)*(u - -1) is divided by 17?
14
What is the remainder when (-135)/189 - (-1433)/7 is divided by 11?
6
Let c(u) = u**3 + 5*u**2 + 4*u + 5. Suppose 2*w + 3 + 5 = 0. Let k be c(w). Suppose 0 = -3*q + k*q - 32. What is the remainder when q is divided by 9?
7
Suppose 3*z - z - 22 = 0. Suppose 2*o = -4*r + 330, -4*r + 0*o + 324 = -4*o. Suppose -4*c + 6*c - r = 0. Calculate the remainder when c is divided by z.
8
Let r(o) = -37*o + 308. Calculate the remainder when 202 is divided by r(8).
10
Let l(q) = q + 13. What is the remainder when (-8)/(-4)*17 - 6 is divided by l(-9)?
0
Let t(w) = w**3 + 8*w**2 + 8 + 1 - 15*w - 24. Let b = -10 - -20. What is the remainder when t(-9) is divided by b?
9
Let v be 20 - (11/(-4) - (-3)/(-12)). Suppose 0 = 4*y - 17 - v. What is the remainder when 59 is divided by y?
9
Let h(z) = -z**2 - z - 1. Let r(o) = -o + 1. Let c(m) = -h(m) + 2*r(m). Let p = -341 - -407. Calculate the remainder when p is divided by c(5).
20
Let w = -365 + 1287. Calculate the remainder when w is divided by 44.
42
Let a(f) = -4*f - 22. Let c be a(-6). Suppose 4*j - 6*x = -c*x + 24, 2*x + 39 = 5*j. What is the remainder when 50 is divided by j?
5
Let b(s) = 15*s - 59. Calculate the remainder when b(11) is divided by 18.
16
Let v(o) = -3*o. Let j be v(-1). Suppose m - 2*g - 53 = 0, 0*g - j*g - 258 = -5*m. Suppose 0 = -4*a + 47 + 5. What is the remainder when m is divided by a?
12
Let z(x) = x**3 + 18*x**2 - 16*x + 45. Let q be z(-19). Let i(c) = -4*c - 42. What is the remainder when 10 is divided by i(q)?
4
Let p = -21 + 50. Let a(x) = -19*x - 124. Calculate the remainder when p is divided by a(-7).
2
Let l(i) = 47*i**2 + 11*i + 20. Calculate the remainder when l(-3) is divided by 32.
26
Suppose 31*s - 20194 = 12232. Calculate the remainder when s is divided by 50.
46
Let b(w) = -1 + 5 - 4 + 123*w + 9. Let k be b(7). Calculate the remainder when 6/(-33) - k/(-66) is divided by 8.
5
Let s(h) = 54*h**2 + 49*h**2 + 5*h**3 - 100*h**2 - 2*h. What is the remainder when 142 is divided by s(2)?
46
Let c be ((-14)/3)/(14/21). Let l = c + 7. What is the remainder when (1 + l)/(11/374) is divided by 9?
7
Suppose -9*x - 16 = -196. Suppose 4*r = 5*b + 113, 0 = 8*b - 11*b + 9. Calculate the remainder when r is divided by x.
12
Let b = -47 + 51. Suppose -3 = 3*l + 9, 4*l + 204 = b*c. Calculate the remainder when 186 is divided by c.
45
Suppose 7*u + p = 4*u + 593, 5*p = -2*u + 417. What is the remainder when u is divided by 71?
54
Let p(b) = 3*b**2 + 17*b + 34. What is the remainder when 98 is divided by p(-5)?
2
Let f be (7 - (6 - (3 - 0)))/4. Let g(u) = 123*u + 1. Calculate the remainder when g(f) is divided by 18.
16
Let l(g) = -g. Let a be l(4). Let q be 0*(0 + 2/a). Suppose -3*p = -q*p - 30. What is the remainder when 19 is divided by p?
9
Suppose 2*d + 3*y - 266 = 0, 38*y = 39*y. Calculate the remainder when 390 is divided by d.
124
Let w be ((-10)/4)/(2/(-8)). Suppose 0 = -b + 3*j + 7, -35 = -3*b + 5*j - w. What is the remainder when 35 is divided by b?
5
Let h = 33 + 21. Suppose -2*o + 5*o = h. Suppose -5*z = 2*m - 122 + 46, 31 = m - z. What is the remainder when m is divided by o?
15
Let n(j) = j + 54. What is the remainder when 299 is divided by n(21)?
74
Let t = -622 + 719. What is the remainder when 219 is divided by t?
25
Let x(m) = 11*m**2 + 4*m - 1. Let j be x(-3). Let v = 74 + -53. Calculate the remainder when j - (-5)/((-10)/8) is divided by v.
19
Suppose -228 = -5*o + 2*c, -39 - 37 = -2*o - 3*c. Calculate the remainder when o is divided by (-2)/(-1)*(-690)/(-60).
21
Let q(k) = 1984*k**3 + k**2 - k - 1. Let z be q(1). Suppose -417 = 18*v - z. Let d = 4 + 18. Calculate the remainder when v is divided by d.
21
Suppose 4*u = a - 15, -5*a + 3*a + 30 = -u. Let k be ((-1)/2)/((-1)/58). Let j = k - a. What is the remainder when 26 is divided by j?
12
Suppose -7 = 4*w - 151. Suppose 0 = -5*m + 2*b - 62, -2*m + b = 3*b + w. Calculate the remainder when ((-4)/6)/(m/2121) is divided by 26.
23
Suppose -3*p = 5*o + 65, 5*o - 4*o = -p - 21. Calculate the remainder when ((-5)/4)/(1/p) is divided by 10.
5
Suppose -2*t - 4*t = -30. Suppose -99 = -t*g + u + 2*u, -8 = -4*u. What is the remainder when 62 is divided by g?
20
Let j = 45 + -42. Suppose 0*a + 129 = j*a. What is the remainder when a is divided by 11?
10
Let s = 37 - 34. Suppose -6*p = -s*p, -3*p = -5*r + 370. What is the remainder when r is divided by 15?
14
Let j = 232 + -107. What is the remainder when j is divided by 35?
20
Let r(f) = 4*f**3 - 2*f + 4. Let u = 270 + -261. Calculate the remainder when r(2) is divided by u.
5
Suppose 3*u + 26 = 2*u - 3*v, -2*v + 45 = -5*u. Let d = u - -20. What is the remainder when 34 is divided by d?
7
Suppose -4*x + 8*x - 28 = 0. Let a be 3/x - 171/7. What is the remainder when 58 is divided by 1/((-2)/a) - -3?
13
Suppose -43*f + 34*f = -189. Suppose -u + 6 = -3*h, 0*h + 2 = u + h. Suppose -u - 3 = -j. Calculate the remainder when f is divided by j.
3
Let o(p) = 5*p - 2*p**2 + 3*p + 3*p**2 + p + 3. Let i = 72 - 81. What is the remainder when 8 is divided by o(i)?
2
Suppose -2*z + 4*z + 66 = 2*i, 0 = -4*i - 3*z + 132. Calculate the remainder when 8 is divided by 2*5/(-3 + i/6).
0
Suppose 10*w = 259 + 1431. What is the remainder when w is divided by 19?
17
What is the remainder when 340 is divided by 1395/39 + (-12)/(-52)?
16
Suppose -17 + 41 = 3*k - 5*w, 0 = -4*k + w + 15. What is the remainder when 50 + 4 - k - 3 is divided by 19?
10
Let p(d) be the second derivative of d**5/10 + 2*d**4/3 + 9*d**2/2 + 11*d. Let h = -42 - -75. Calculate the remainder when h is divided by p(-4).
6
Let u = 941 - -181. Suppose 0 = -2*h - 4*h + u. Calculate the remainder when h is divided by 64.
59
Let a = -26 - -39. Let v = -19 - -43. What is the remainder when v is divided by a?
11
Let h(u) = u + 0*u - 5*u + 2*u. Let q be h(0). Suppose 4*r - 75 = -q*r + 3*d, r + 5*d - 13 = 0. What is the remainder when r is divided by 10?
8
Let y = -16 + 11. Let x be (62/5)/((-2)/y). Suppose -v = -x + 9. Calculate the remainder when 41 is divided by v.
19
Let x(u) = u**2 + u + 2. Suppose -j + 3*j = -36. Let b(i) = -i**3 - 18*i**2 - i - 25. Let m be b(j). What is the remainder when x(m) is divided by 23?
21
Let f be 2 + 0 - 3 - -5. Suppose f*y = 2*d - 4, -4*y + 3*y + 2*d + 2 = 0. What is the remainder when 10 is divided by (-6)/4*y + 3?
4
Suppose 0 - 2 = -2*q. What is the remainder when (-6)/(-4)*70/q is divided by 2*-1 - (39 - 68)?
24
Calculate the remainder when 444/8 + 2 + 3/6 is divided by 30.
28
Suppose -712 - 251 = -3*y. Suppose 0*v + 2*v = -j + 69, 4*v - y = -5*j. Calculate the remainder when j is divided by 16.
13
Let g = -65 - -34. Let k = 37 + g. Suppose 0 = -5*t + k*t - 14. What is the remainder when 25 is divided by t?
11
What is the remainder when 94 is divided by 12 - 0 - 14 - -7?
4
Let m = -14 - 31. Let n = m - -168. Calculate the remainder when n is divided by 14.
11
Let q(z) = -4*z + 12. Let a be q(9). Let v = a - -14. Let s(h) = h**3 + 9*h**2 - 12*h - 9. What is the remainder when 64 is divided by s(v)?
9
Suppose -16 = -c - 2*s, 2*c - 3*c = -2*s - 20. Let w(n) = -n**2 + 18*n + 33. What is the remainder when 95 is divided by w(c)?
29
Let o(v) = -5*v + 7. Let c(i) = -i - 18. Let d be c(-7). What is the remainder when o(d) is divided by 13?
10
Let w(d) = -13*d**3 + 2*d**2 - 4*d - 5. Calculate the remainder when w(-2) is divided by 26 - -3 - (-3 + 3).
28
Suppose 3*u - 148 - 14 = 0. Let n = -32 + u. What is the remainder when n is divided by 8?
6
Suppose -3859 = -285*p + 268*p. What is the remainder when p is divided by 18?
11
Suppose 7*x - 381 = 32. What is the remainder when 526 is divided by x?
54
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