 6.
3
Let o be 22/12 - (-21)/126. Suppose -7*y - o*y = -234. Calculate the remainder when 153 is divided by y.
23
Let w(p) = 10*p**2 - 3*p + 6. Calculate the remainder when w(4) is divided by 12.
10
Let v(u) = u + 14. Let m be v(-12). Suppose -1 = -3*o + m. What is the remainder when (16/(-12))/o*-24 is divided by 12?
8
Let q(y) = 4*y**2 + 3*y - 2. Let g(f) = f**2 + f. Let h(b) = -2*g(b) + q(b). What is the remainder when 30 is divided by h(3)?
11
Let a = -5 - -7. Suppose a*r + 2*r - 52 = 0. What is the remainder when ((-3)/3)/(-2 - 147/(-75)) is divided by r?
12
Let g = -17 - -24. Suppose 3*z + 32 = g*z. Calculate the remainder when 20 is divided by z.
4
Suppose 5*z - 4*z = 26. Let d = z + -46. Calculate the remainder when 16 is divided by (18/(-10))/(4/d).
7
Calculate the remainder when 84 is divided by 1 + 2/6*30.
7
Let q = -497 + 1417. Let h = 0 - -9. Calculate the remainder when (-6)/21 + 3*q/105 is divided by h.
8
Suppose 12*l = 13*l - 120. Suppose -9 = 4*b - 3*h - 166, 0 = -3*b + 3*h + l. Let m = b + 43. Calculate the remainder when m is divided by 27.
26
Suppose 1063 - 1112 = -u. Let n(g) = 2*g**2 - 8*g + 3. Suppose 15 = -0*x + 3*x. Calculate the remainder when u is divided by n(x).
10
Suppose 5*n - 100 = -l + 50, 0 = l. What is the remainder when 70 is divided by n?
10
What is the remainder when 52 + -4 - 4*(0 - 1) is divided by 37?
15
Let z = -8 + 11. Suppose 2*n + u - 46 = 0, -z*n + 5*u - 8 = -64. Calculate the remainder when 41 is divided by n.
19
Suppose 0 = 4*i + b + b - 66, 0 = i + 2*b - 15. Calculate the remainder when 82 is divided by i.
14
Let v(x) = -x**2 - 21*x - 31. What is the remainder when ((-123)/(-3) - -2)*1 is divided by v(-18)?
20
Calculate the remainder when 6 - -14 - (0 - 3) is divided by 2.
1
Let x = 1729 + -1687. What is the remainder when x is divided by 9?
6
Suppose 3*t - 74 = 217. Let r = 221 - t. What is the remainder when r is divided by 18?
16
Suppose -49*t + 55*t - 24 = 0. What is the remainder when 34 is divided by t?
2
Let p = 1313 + -1201. Calculate the remainder when 547 is divided by p.
99
Let h(w) be the second derivative of w**4/3 + w**3/2 - 3*w**2/2 - 11*w. Calculate the remainder when 15 is divided by h(-2).
1
Let m(b) = 5*b**2 + 2*b - 2. Let y be m(1). Suppose -y*s = 2*a - 68, 0 = -5*s + 4*a + 15 + 29. Calculate the remainder when 40 is divided by s.
4
Suppose -9*i = -1166 - 3334. Calculate the remainder when i is divided by 72.
68
Let b(n) = -3*n**2 + n + 19. Calculate the remainder when 112 is divided by b(0).
17
Let c(j) = -j**3 + 12*j**2 + 17*j - 27. Calculate the remainder when c(11) is divided by 73.
62
Let m be (-4 - -6) + (3 - 1). Suppose -m*q + 165 + 123 = 0. What is the remainder when 70 is divided by ((-4)/(-8))/(2/q)?
16
Let c(n) = -n**3 + 12*n**2 - 55. Calculate the remainder when c(8) is divided by 68.
65
Let n(v) be the third derivative of -v**4/24 + 2*v**3 + 12*v**2. Suppose 4*s - 5*y = 8, 0*s - 3*s + y = -6. Calculate the remainder when s is divided by n(10).
0
Let s = 29 - 29. Suppose -b - g - 3*g + 27 = s, -2*b + 4*g + 42 = 0. Let h = b + 0. What is the remainder when h is divided by 13?
10
Let r = 17 + -13. Calculate the remainder when (15 + -1 + 0)/(3/3) is divided by r.
2
Let x be 45/4*20/(-7 - -2). Let n = -43 - x. What is the remainder when 12 is divided by n?
0
Suppose -2*n = -5*n + 45. Let k = 13 + n. Suppose 3*p - 4*p = -k. What is the remainder when p is divided by 10?
8
Suppose -100 = 3*q + 2*q. Let x = -16 - q. Calculate the remainder when 3 is divided by 8/x - 0/(-2).
1
Let k(l) = -l**2 + 19*l - 19. Calculate the remainder when k(6) is divided by 30.
29
Let h(d) = d - 1. Let i(k) = k**2 + 10*k + 13. Let q(x) = h(x) + i(x). Let c be q(-10). What is the remainder when 11 is divided by 5*(c + -1) + 2?
4
Let b = 218 - 187. What is the remainder when 50 is divided by b?
19
Let t be -2*((-30)/15)/((-8)/(-30)). Let r = -1 + t. What is the remainder when r is divided by 8?
6
Let o = 0 + 3. Calculate the remainder when ((13 - o) + 3)/1 is divided by 5.
3
Calculate the remainder when 322 is divided by 4 + -7 - 5/((-10)/138).
58
Suppose 5*x + 7*h + 5 = 2*h, 2*h = 2*x - 14. Let b be 2/2 + 2 + -1. Suppose b*w + 11 = x*w. What is the remainder when 29 is divided by w?
7
Suppose -77*i = -74*i - 48. Let y = 18 + -19. Calculate the remainder when i is divided by -2*y*(-9)/(-2).
7
Let x = 195 - 154. Suppose 157 = 11*n - x. Suppose 2*f - 108 = -2*i, 4*f + i = 3*i + 198. What is the remainder when f is divided by n?
15
Let b(j) = 3*j - 13. Let d be b(5). Let c = 7 + d. Calculate the remainder when c is divided by 3.
0
Suppose 3*h - 163 = 3*o + 2*o, -20 = -5*o. Suppose 0 = -5*a - 3*j - 25 + 108, -5*a + 4*j + 76 = 0. What is the remainder when h is divided by a?
13
Suppose 0 = 2*c + b - 456, b + 0*b = 4. Calculate the remainder when c is divided by 57.
55
Let c(n) = -n**2 - n + 5. Let w be c(-7). Let s = w - -47. What is the remainder when 17 is divided by s?
7
Let s be (2 - 2/2)/(-1). Let i be 12/8 - s/2. Calculate the remainder when 62 is divided by (i + 10)/(15/20).
14
Let l(o) = o**2 + o - 1. Let q(g) = 8*g**2 + 17*g - 1. Let d(f) = -6*l(f) + q(f). Calculate the remainder when 32 is divided by d(-6).
10
Let u = -251 + 283. Calculate the remainder when 179 is divided by u.
19
Let i(x) = -211*x**2 - 6*x - 56 - 2*x**3 + x**3 + 198*x**2. Calculate the remainder when i(-13) is divided by 8.
6
Let m(f) = -3*f - 36. What is the remainder when 34 is divided by m(-15)?
7
Suppose 7862 = 28*v - 874. What is the remainder when v is divided by 106?
100
Suppose 0 = 4*g - 3*f - 32 - 7, 5*g - 5*f = 45. Let u = -8 + g. What is the remainder when 15 is divided by u?
3
Let h = 58 - 50. Calculate the remainder when 10 is divided by h.
2
Suppose -51 - 1 = 3*m + 4*b, 0 = -5*m + 2*b - 52. What is the remainder when -2 + (12/(-1))/(-2) is divided by ((-6)/4)/(m/16)?
0
Calculate the remainder when 107 is divided by 1*(0 + 38)*1 - 2.
35
Suppose 0 = -2*i + 28 + 40. Calculate the remainder when 66 is divided by i.
32
Let u = 28 + 16. Let p = u + -25. Calculate the remainder when 75 is divided by p.
18
Let t be 93/33 - 4/(-22). Suppose 48 = -t*u + 6*u. Calculate the remainder when u is divided by 9.
7
Let m(c) = c**3 + 15*c**2 - 20*c + 13. Let x = -28 - -93. Let z = -45 + x. Calculate the remainder when m(-16) is divided by z.
17
Suppose 4*u - t = -7, 0*t = 5*u + 2*t + 25. Let k(i) = -9*i - 4. Calculate the remainder when 90 is divided by k(u).
21
Suppose -5*f - q = -629, -4*f + 5*q = -0*f - 480. Calculate the remainder when f is divided by 46.
33
Let d(t) = -t**2 + 15*t + 7. Let s be d(15). Suppose 5*f - q - 62 = 0, 2*q = -f + 26 - s. What is the remainder when 36 is divided by f?
10
Let u = 79 - 76. Suppose 5*i = 3*t + 53, -6 - 25 = -3*i + 2*t. Suppose 4*o - 15 = i. Calculate the remainder when o is divided by u.
1
Let j(q) = q**2 + q - 1. Let s(u) = -u**3 + 2*u**2 - 2*u + 4. Let b = -102 - -102. What is the remainder when j(2) is divided by s(b)?
1
Let y(h) = 2*h**3 - h + 1. Suppose -38*p = -30*p - 360. Suppose 0 = -3*k - 2*k + p. Calculate the remainder when y(2) is divided by k.
6
Let u be 1*(-2 + (-3 - 30)). Suppose q + 2*q = -21. Calculate the remainder when (-1845)/u - 2/q is divided by 14.
11
Calculate the remainder when 727 is divided by (87/145)/(6/140).
13
What is the remainder when 186 is divided by 92 - 4/(((-8)/3)/(-2))?
8
Let k(l) = 11*l**3 - 2*l**2 + l - 1. Let z be k(2). Let g = z + -75. What is the remainder when 16 is divided by g?
4
Let l(y) be the third derivative of 41*y**4/24 + y**3/6 + 2*y**2. Calculate the remainder when l(1) is divided by ((-43 + -1)/2)/(-2) - -4.
12
Let b = 24 + -1. What is the remainder when b is divided by 3?
2
Let z = 42 - 24. Suppose -104*g = -107*g + 21. Calculate the remainder when z is divided by g.
4
Suppose -5*m + 4*b + 36 + 69 = 0, 48 = 4*m + 4*b. What is the remainder when (11/(-4))/((6/28)/((-468)/91)) is divided by m?
15
Let v(m) = m - 1. Let h(f) = -6*f + 16. Let g(u) = h(u) + 5*v(u). Let w = -12 + 20. What is the remainder when 9 is divided by g(w)?
0
Suppose -92 = 2*d - 404. Calculate the remainder when d is divided by 25.
6
What is the remainder when 6 + (-5 + 1077 - -9) is divided by 32?
31
Let o(i) = -5*i + 107. Calculate the remainder when 18