 Calculate the remainder when q - (4 + -9 + 2) is divided by 9.
8
Suppose 2*a = -2*a + 5*q - 65, -a = 4*q - 10. Let f = a + 20. Calculate the remainder when 47 is divided by f.
7
What is the remainder when 28 is divided by ((-6)/((-36)/6))/((-2)/(-32))?
12
Suppose -3*a = 3*l - 27, 0*a - 5*l = -2*a + 53. What is the remainder when 125 is divided by a?
13
Let t(s) = -2*s - 8. Let w be t(-5). Suppose 5*m - b + 24 = 82, 30 = w*m + 3*b. Calculate the remainder when 82 is divided by m.
10
Suppose 2*s = -2*f - 2*f + 116, -205 = -4*s + f. Calculate the remainder when 259 is divided by s.
51
Let w = 235 - 148. Suppose 5*n = 2*m - w, 8*m - 113 = 5*m + 4*n. Calculate the remainder when 152 is divided by m.
28
Let w = 5 - 2. What is the remainder when (10/w)/(8/96) is divided by 11?
7
What is the remainder when 7*(-59)/(-2)*8/14 is divided by 46?
26
Suppose -347*z - 1653 = -376*z. What is the remainder when 163 is divided by z?
49
Suppose -16*x = 23*x - 1170. Let d(h) be the second derivative of -h**5/20 - h**4/6 + 2*h**3/3 + h**2 - h. What is the remainder when d(-5) is divided by x?
27
Let m(l) = -l**3 - l**2 - 3*l + 5. Calculate the remainder when 97 is divided by m(0).
2
Let m = -11 + 15. Let r(s) = -s**3 + 4*s**2 + s - 1. Calculate the remainder when 1 - 4/(-4) - -3 is divided by r(m).
2
Let x = 68 - 69. Let f = 7 - x. What is the remainder when 23 is divided by f?
7
Suppose -2*m - 3*m = 0. Suppose m = -2*z + 7 + 7. What is the remainder when z is divided by 3?
1
Suppose 0 = -4*u - 2*v + 238, -4*v - 34 + 333 = 5*u. Suppose -3*n + 34 = 3*j - u, -5*n + 5*j = -105. Calculate the remainder when 50 is divided by n.
24
Suppose -4*b = -f - 1212, -4*b - 892 = -7*b + 5*f. Calculate the remainder when b is divided by 102.
100
Let l(g) = g**3 - 5*g**2 + g - 6. Let w be l(5). Let j be -3 + (3 - w) + -13. What is the remainder when 44 is divided by 3/((-1)/(92/j))?
21
Suppose 2*n + 4 = -0*a + 2*a, 3*n = -a + 10. Suppose -m - n*m = -33. What is the remainder when (-1)/((-1)/(-2)) - -43 is divided by m?
8
Suppose -3*w = 5*z + 25, 0 = w - 14*z + 18*z - 1. Suppose -f - f + 54 = 0. Let y = w + f. What is the remainder when 34 is divided by y?
10
Let y(r) = r + 2. Let m be y(0). Suppose 3*n - h - 12 = m*n, 2*n + h = 27. Let z = 1 + 49. What is the remainder when z is divided by n?
11
Let o = -50 - -206. What is the remainder when o is divided by 32?
28
Let l = 23 - 41. Let u be 49/(-14)*(2 + -2 + 2). Let y = u - l. What is the remainder when y is divided by 5?
1
Let l = -154 - -182. Calculate the remainder when 530 is divided by l.
26
Let q(d) = d**3 + 33*d**2 + 30*d - 38. Let b = -119 - -87. What is the remainder when 45 is divided by q(b)?
19
Let k = -766 - -769. Calculate the remainder when 11 is divided by k.
2
Calculate the remainder when 225 is divided by 810/14 - 2*3/(-42).
51
Let m(i) = 2*i**3 - 7*i**2 + 3*i + 5. Let q be m(4). Let g = q - 15. Calculate the remainder when 70 is divided by g.
16
Let r = -3 - 14. Suppose 0 = -33*b + 48*b - 30. Let a = b - r. What is the remainder when 36 is divided by a?
17
Let l = 33 - 31. Suppose 4*x - z = 30, 28 - 8 = l*x + 2*z. Calculate the remainder when 1 - -26 - (-3 + 1) is divided by x.
5
What is the remainder when 335 is divided by ((-126)/15)/(16/(-160))?
83
Let w = 21 + -14. Suppose -w*a = -2*a - 10. Suppose -4*g = -2*j - 174, -3*g - a*j - 20 + 140 = 0. What is the remainder when g is divided by 9?
6
Let a = -193 - -213. What is the remainder when a is divided by 9?
2
Let j(g) = -g**3 + 2*g**2. Let f be j(2). Let i be (-44 - (1 + f)) + -4. Calculate the remainder when (-1141)/i - (-2)/(-7) is divided by 8.
7
Let p = -24 + 88. Suppose q - p = -0*q - g, -5*g - 208 = -3*q. Calculate the remainder when q is divided by 14 + 6 + -8 + 5.
15
Suppose 7*g = 3*g + 148. Let p(s) = -s + 26. Calculate the remainder when g is divided by p(18).
5
Let v = 154 + -134. Suppose 5*f + v = 0, 0*l + f = 3*l - 76. What is the remainder when 85 is divided by l?
13
Let c be (-1305)/(-24) + 9/(-24). Suppose 0 = -2*d - 12 + c. Calculate the remainder when 80 is divided by d.
17
Let t(m) = m**2 - 47*m + 319. Let g(h) = -8*h**2 + h + 1. Let z be g(-2). Calculate the remainder when (-555)/z - (-4)/22 is divided by t(8).
3
Let m = 70 - 47. Let j(s) = s**2 - 11*s + 4. Let w be j(0). Suppose i - 13 = -5*l, w*i - 2*l - 45 = 7. What is the remainder when m is divided by i?
10
Let n = -471 + 486. What is the remainder when 238 is divided by n?
13
Let x(u) = u**3 - 3*u**2 + 4*u - 5. Let b = 50 + -46. What is the remainder when x(b) is divided by 5?
2
Suppose -b + 2*p - 4*p = -9, -5*p = 2*b - 14. Let k(c) = c. Let o be 0/(-3) + 7 + -1. What is the remainder when b is divided by k(o)?
5
Let k = -272 - -399. Suppose -704 = -18*j + 22*j. Let x = j - -208. Calculate the remainder when k is divided by x.
31
Suppose -5 - 7 = -3*j. Suppose 0 = j*u - 12 - 24. Calculate the remainder when u is divided by 4.
1
Suppose 336 = -6*p + 10*p. Let a = p - -22. What is the remainder when a is divided by 27?
25
What is the remainder when (-1)/1 - -205 - (267 + -267) is divided by 60?
24
Let b(c) = -3*c**3 - c**2 + 6*c - 6*c**2 + 2*c + 4*c**3 - 6. Let u = -18 - -29. What is the remainder when u is divided by b(6)?
5
Suppose -2*p - 28 = -951*h + 947*h, -1 = 3*h + 4*p. Suppose -2 = -4*j + 2. What is the remainder when h is divided by j?
0
Suppose 14 = 2*c + 2*s, -2*c + 33 - 10 = 5*s. Let l = 100 + -85. Calculate the remainder when l is divided by c.
3
Let p(v) = v**3 - 16*v**2 + 44*v - 16. What is the remainder when 193 is divided by p(13)?
46
Let h = 2 + 14. Suppose -4*t - h = 0, -3*n = 2*n + 5*t - 245. What is the remainder when n is divided by 14/16*-2*-8?
11
Suppose 0 = 5*j + 2*a - 1093, 4*j + 2*a - 239 - 635 = 0. Calculate the remainder when j is divided by 45.
39
Let f = 382 + -279. Calculate the remainder when 316 is divided by f.
7
Suppose r = -2*z + 146, 5*z + 760 = r + 4*r. Calculate the remainder when r is divided by 19.
17
Suppose 5*z - 60 = -5*b, -128*b + 126*b = z - 8. Let n = 0 - -3. Suppose -30 = -3*r - 2*u, r + 4*u = n*r - 20. What is the remainder when z is divided by r?
6
Let v(r) = r**2 + 10*r - 13. Let n(z) = 4*z**2 + 41*z - 52. Let l(b) = 2*n(b) - 9*v(b). Calculate the remainder when 27 is divided by l(-9).
3
Suppose 4*o - 384 = -4*g, -5*o - 316 = -3*g - o. What is the remainder when 200 is divided by g?
0
Suppose -7*q = -2*q - 145. Calculate the remainder when (-19)/(-2090)*20 + (-1263)/(-11) is divided by q.
28
Let a(f) = -2*f**2 - 34*f + 20. Calculate the remainder when 156 is divided by a(-17).
16
Let h = 7 + -5. Let f(s) = h - 4*s - 13 + 5*s. Calculate the remainder when f(14) is divided by 1.
0
Suppose 4*i - 12 = -0*i. Suppose 3*d = 4*s - 589, -178 = -2*s + i*d + 115. Calculate the remainder when s is divided by 30.
28
Let r = 83 - 72. What is the remainder when 42 is divided by r?
9
Let q(j) = 68*j - 12. What is the remainder when q(1) is divided by 36?
20
Suppose -15 = -z - 5*l, -2*l = 3*l + 10. Calculate the remainder when 34 is divided by (z - 17) + -1 + 0.
6
Suppose 31 = p + 3*w - 0*w, 4*w = p - 10. Suppose 0 = 2*u + 3*s - 1, 3*s - 1 = 3*u + 5. Calculate the remainder when (-1)/(u/130)*4/8 is divided by p.
21
Let p(f) = -5*f - 2. Let w be p(-1). Suppose z + 133 = 3*z + t, -2*t - 203 = -w*z. Let d = z + -44. Calculate the remainder when 89 is divided by d.
20
Let s = -1020 + 1159. Calculate the remainder when 559 is divided by s.
3
Suppose 2*s - 3*g = 25, 0 = 2*s + 5*g - 26 - 7. What is the remainder when 38 is divided by (-1 - -3)*91/s?
12
Let u(b) = -b**2 - b - 1. Let f be u(-2). Suppose -5*y + 45 = -5*j, 3*j = 2*j - 5. What is the remainder when y/2 + f + 24 is divided by 6?
5
Let x(p) = 9*p**2 - 18*p - 44. What is the remainder when x(-3) is divided by 83?
8
Suppose 4*u - 112 = -0*u. Let c(i) = -43*i + 5. Let o be c(4). Let a = o + 249. Calculate the remainder when a is divided by u.
26
Suppose -5*x - 5 = 0, -5*y - x - 10 = -49. What is the remainder when 86 is divided by y?
6
Let i(d) = d**3 + 25*d**2 + 45*d + 14. Calculate the remainder when 214 is divided by i(-23).
29
Let j(d) be the third derivative of d**5/30 - d**4/4 - 2*d**3/3 - 63*d**2. Let l be (-1 - (-5)/2)*-2. Calculate the remainder when j(l) is divided by 17.
15
Suppose -2*