
Let x = 3 + 16. Suppose 0 = 4*m - 5*l - 34, 3 = -m + 5*l + x. What is the remainder when 20 is divided by m?
2
Suppose -5*h - 2*h + 266 = 0. What is the remainder when 411 is divided by h?
31
Let r be (-1)/(-3) - (6 - (-688)/(-24)). Suppose -t = 5*h - r, 3*h + 4 - 1 = 0. What is the remainder when 110 is divided by t?
26
Let i = -12 - -39. Suppose -p + 4*k - 5 = 0, -17 = -3*p - 2*k + 10. Calculate the remainder when i is divided by p.
6
Suppose 0 = -7*y - 0 + 287. Let b(o) = -16*o - 10. Let w be b(-4). Suppose j - 101 = -5*z, 5*z = 4*j + w + 67. What is the remainder when y is divided by z?
20
Suppose -4*y = -50 - 82. What is the remainder when y is divided by 26?
7
Let u = 275 - 177. Let l = u - 15. What is the remainder when l is divided by 28?
27
Let n be (-3)/(-1) - (-265)/(-20)*4. Let i(c) = c**2 + 9*c - 7. Let o be i(6). Let a = o + n. Calculate the remainder when a is divided by 12.
9
Calculate the remainder when 5*1*((-570)/(-50) - -5) is divided by 21.
19
What is the remainder when 123 is divided by 8/(-108) - 13624/(-216)?
60
Suppose 0 = -4*m + 298 + 10. Calculate the remainder when m is divided by 41.
36
Suppose 0 = -6*w - 3*w + 27. What is the remainder when 63 is divided by 28/(w - 1) + (-2 - -4)?
15
Let d = 23 - -58. Suppose -d = -2*w - 23. What is the remainder when 55 is divided by w?
26
Let f = 799 - 786. What is the remainder when (4/2)/((-6)/(-105)) is divided by f?
9
What is the remainder when 5*-24*((-50)/8 + 5) is divided by 22?
18
Suppose -5*s - 5*x = -180, 3*x + x - 111 = -3*s. Let d = 54 - s. Let r(z) = -13*z + 2. What is the remainder when r(-3) is divided by d?
20
Let r(x) be the first derivative of 49*x**3/3 - x**2/2 - x + 3. What is the remainder when r(-1) is divided by 25?
24
Let w be 3/(2/6*3). Suppose a - 236 = -w*a. Let i = a - 36. Calculate the remainder when 89 is divided by i.
20
Let q(v) = -5*v + 128. Calculate the remainder when 484 is divided by q(6).
92
Let a = 4 - -1. Suppose 0*l + 3*l + a*r = 66, 0 = -4*r. What is the remainder when l is divided by 6?
4
Suppose s + 5 - 7 = -3*l, 5*l - 10 = -3*s. Calculate the remainder when 21 is divided by s.
1
Let u = 80 + -40. Suppose 37*m = u*m - 171. What is the remainder when m is divided by 12?
9
Let f be 3/4 - (-6)/(-8). Suppose 34 = 2*t - 2*k, f*t + 2*k + 76 = 5*t. Calculate the remainder when t is divided by 8.
6
Let f(q) = 2*q**3 - 11*q**2 + 7*q + 13. Calculate the remainder when 91 is divided by f(5).
22
Let m(c) = 2*c**3 + 3*c**2 - 3*c + 3. Let f be 44/(-2)*((-27)/6 + 1). Suppose -4*s = 3*s - f. Calculate the remainder when m(3) is divided by s.
9
Suppose 6*a = a + 170. Let v(g) = g**2 + 21*g + 89. Calculate the remainder when a is divided by v(-16).
7
Suppose 0 = -2*p - 10*b + 14*b + 162, 312 = 4*p - 2*b. What is the remainder when 179 is divided by p?
25
Let s = -645 + 660. What is the remainder when 92 is divided by s?
2
Let i(f) = -f + 134. What is the remainder when i(-10) is divided by 50?
44
Suppose 3*g - 4*g - 8 = -3*w, 2*g = 5*w - 15. Let f = g + 29. Suppose f = 2*h - 4. What is the remainder when 53 is divided by h?
11
Let h(p) = -7*p**2 - p + 27 + 5*p - 6*p + p**3. Suppose 0 = -2*a + 4*a - 8. What is the remainder when h(7) is divided by a?
1
Suppose 2*z + 3*z = 0. Let y = z - -15. What is the remainder when (0 + -3)*116/(-6) is divided by y?
13
Let h = 1105 + -1085. Let m(j) = 3*j**3 - 2*j**2 - 3. Calculate the remainder when m(4) is divided by h.
17
What is the remainder when 77/(5*(-5)/(-50)) is divided by 51?
1
Suppose 225 = f + y, -4*f + 0*y + 3*y + 865 = 0. Suppose -5*s + 395 = -f. Suppose s = 3*u + 9. What is the remainder when u is divided by 10?
8
Suppose b = 11*b - 660. Suppose g = -2*h - g + b, 0 = h - 5*g - 15. What is the remainder when h is divided by 16?
14
Suppose -13*w + 129 = -10*w. Suppose 3*x + 14 - 59 = 0. What is the remainder when w is divided by x?
13
Suppose -4*r - 3 = -95. What is the remainder when ((-32)/(-12)*(-66)/(-4))/1 is divided by r?
21
Suppose 3*u - 418 = u. Let y = u - 130. Suppose 4*m - 121 = -3*x, -3*x = -x + m - y. Calculate the remainder when x is divided by 11.
6
Let g = 2 + -13. Let b = g - -25. Suppose -72 = 4*a - 292. Calculate the remainder when a is divided by b.
13
Suppose -2*n = 4*n + 6. Calculate the remainder when 44 is divided by 9 + n/(-2)*-2.
4
Suppose 0 = 3*d + 2*d - 2*l - 93, 0 = -3*d + 3*l + 63. Let r(k) = -8*k - 7. Calculate the remainder when r(-7) is divided by d.
15
Suppose 0 = -0*b + 4*b - 148. Let o(j) = j**2 + 16 + 20 - 2*j - 31. Calculate the remainder when b is divided by o(-3).
17
Suppose 4*b - 2*u - 198 = 50, -3*u = 4*b - 268. Calculate the remainder when b is divided by (-17)/(-4 + (-6)/(-2)).
13
Let z(u) = -14*u**3 + u**2. Let g be z(2). Let r = -78 - g. Calculate the remainder when r is divided by 12.
6
Suppose 0 = 3*r + 4*x - 321, -435 = -4*r + 2*x - 5*x. Calculate the remainder when 220 is divided by r.
109
Let r(s) = -6*s + s - 1 - 7*s**2 + 3*s + 0*s**2. Let y(z) = z. Let k(q) = -r(q) - y(q). Calculate the remainder when k(-3) is divided by 21.
19
Let c = -24 - -29. What is the remainder when c + -3*3/9 is divided by 4?
0
Suppose 0 = 5*n - 0*z + z + 731, 3*n - 3*z = -435. Let m = n + 80. What is the remainder when 17 is divided by 16/3 + (-44)/m?
5
Let g = -22 + -10. Let v = g + 71. Calculate the remainder when v is divided by 11.
6
Let t be 4/(-6) + 147/(-9). Let w = 55 + t. Let l(j) = -184*j - 3115. What is the remainder when w is divided by l(-17)?
12
Calculate the remainder when 117 is divided by -3*(-5)/15*(13 - -18).
24
Let l(w) = 6*w**3 + 9*w**2 - 8*w - 4. Calculate the remainder when l(4) is divided by 57.
36
Let d = 1174 + -1132. Calculate the remainder when 288 is divided by d.
36
Let t be -1181 + (2 - 5 - 0). Let i be (-4)/10 - t/10. Suppose 47 + i = 3*a. What is the remainder when a is divided by 19?
17
Suppose -7*h + 44 = -3*h + 4*c, -4*c + 30 = 2*h. What is the remainder when 82 is divided by h?
5
Let j = 492 + -372. What is the remainder when j is divided by 31?
27
Suppose n - 20 = -0*n. What is the remainder when ((-310)/(-25))/((2/(-10))/(-1)) is divided by n?
2
Let z be (6 + -9)/(9/(-12)). Suppose -z*w = -2*d - 372, 6*w - 8*w + 2*d = -188. Calculate the remainder when w is divided by 19.
16
Suppose 3 = 2*s + s + a, 5*a = 2*s + 15. Suppose 5*l + 30 - 85 = s. Calculate the remainder when 54 is divided by l.
10
Suppose 0 = -8*a + 29 + 83. Calculate the remainder when 151 is divided by a.
11
Let q(v) = -6*v - 6. Suppose 5*c - 37*c + 250 + 230 = 0. What is the remainder when q(-5) is divided by c?
9
Suppose -4*v = -3 - 13. Suppose v*y - 12 = y. Suppose 0*b - 5*f - 20 = -b, 0 = 2*f + y. What is the remainder when 18 is divided by b?
8
Suppose 0 = -l + 252 + 145. Calculate the remainder when l is divided by 40.
37
Suppose -21 + 171 = 10*z. Let u(s) = -s + 4. Let m be u(-3). Suppose 3*y + 5*l - m = -0*l, 5*l = 5*y - 25. What is the remainder when z is divided by y?
3
Let m = 23 + -18. Suppose 0 = 5*q + m*j - 40, 6*j - 2*j + 22 = 5*q. Calculate the remainder when 11 is divided by q.
5
Suppose -4*r - 24 = -10*r. Suppose -3*j - i - 11 = -53, -r*i - 28 = -2*j. What is the remainder when 24 is divided by j?
10
Let k(x) = -x**3 - 13*x**2 - 15*x - 3. Let b be k(-12). Suppose -b = -5*p + 4*p. Calculate the remainder when 131 is divided by p.
32
Let i = 333 + -238. What is the remainder when 1 + -1 - i/(-5) is divided by 10?
9
Suppose 5*l + 34 = 9, -2*l - 6 = r. Calculate the remainder when 162 is divided by r.
2
Let m(z) = 2*z**2 - z - 1. Let w = 692 - 633. What is the remainder when w is divided by m(-3)?
19
Let u(d) = 2*d**2 - 18*d + 17. Let i(r) = -r**3 + r**2 + r. What is the remainder when u(1) is divided by i(1)?
0
Let p = 230 + -215. Calculate the remainder when 102 is divided by p.
12
Suppose 0 = 5*q + 4*b - 21, -3*q + b + 3*b = -19. Let c = 9 + q. Let w = 13 - -55. Calculate the remainder when w is divided by c.
12
Suppose 4*o - 38 = -t - 0*o, 0 = 3*t + 4*o - 82. Let j = -49 + 54. What is the remainder when t is divided by j?
2
Let c(v) = 4*v + 69. What is the remainder when 37 is divided by c(-14)?
11
Let b(q) = 4*q**2 + 6*q - 1. Let w be 1 + -8 + (-4 - -8). What is the remainder when 101 is divided by b(w)?
16
Let q(g) = -g**3 + 9*g**2 + 7*g - 122. Calc