
23
Calculate the remainder when 86 is divided by (-5)/(110/4) + (-666)/(-33).
6
Let r = 376 + -371. Let y(q) = 3*q + 6. What is the remainder when y(5) is divided by r?
1
Let m = 7 - 5. Suppose 4*j - 24 = -2*h, -h + m - 20 = -3*j. Suppose 13*c - 184 = 115. Calculate the remainder when c is divided by j.
5
Let s(z) be the third derivative of -z**6/120 + 3*z**5/20 + 5*z**4/12 + 11*z**3/6 - 28*z**2. What is the remainder when s(10) is divided by (1 - 0 - 1) + 3?
2
Let j(o) = -o**3 + 7*o**2 - 4*o - 1. Suppose 2*v - 8 = 0, 0*a - 2*a + v - 2 = 0. Calculate the remainder when j(5) is divided by a/(-2) + (-42)/(-4).
9
Let g = 7 - -103. Suppose s + g = 6*s. Calculate the remainder when s is divided by ((-24)/(-10))/(2/10).
10
What is the remainder when 112 is divided by (187/33 + -7)*(-186)/8?
19
Let r be (-6)/(-1 + -1) - -301 - 3. Suppose -4*s - 21 = -r. What is the remainder when s is divided by 9?
7
Let t be 33/9 - (-8)/(-12). Let s(m) = 2*m + 10. Calculate the remainder when s(8) is divided by t/5 - 126/(-15).
8
What is the remainder when 12 is divided by (-15)/(-3) + (-3 - (6 - 8))?
0
Let h(m) = -m**2 + 12*m + 4. Suppose v - 36 = -3*v - 5*s, -5*v + 45 = -2*s. Calculate the remainder when 60 is divided by h(v).
29
Let d(u) = 43*u - 47. Let p(v) be the third derivative of v**4/24 + 5*v**3/6 - v**2. What is the remainder when d(2) is divided by p(5)?
9
Suppose -6*h + 90 = -0*h. Let j = -10 - -84. What is the remainder when j is divided by h?
14
Let m(y) = 2*y + 13. Let j(l) = 3*l**2 - 29*l + 52. What is the remainder when m(9) is divided by j(8)?
7
Suppose 0 = 3*h - 8 - 10. Suppose 0 = -3*k + h + 33. Calculate the remainder when 5 - 2 - (19 + 3)/(-1) is divided by k.
12
Suppose -7*n = -6*n - 5. Suppose -n*z + 4*l = -91, 0*z - 59 = -3*z - 2*l. Calculate the remainder when z is divided by 5.
4
Suppose -5*q + 160 = -120. Let i = -8 + q. Suppose -i = -0*f - 3*f. Calculate the remainder when 29 is divided by f.
13
Let n = 244 + 647. What is the remainder when n is divided by 47?
45
Let j = -1486 - -1489. Suppose 5*h - 24 = -9. Calculate the remainder when j is divided by h.
0
Let y be ((-6)/(-5))/((-14)/(-35)). Suppose 15 = y*u - 0*u, 4*u - 320 = -5*a. Suppose 5*o + a = 9*o. What is the remainder when 28 is divided by o?
13
Let z = 12 - -18. Let c = -15 + z. What is the remainder when 29 is divided by c?
14
Suppose 6*v = 241 + 185. What is the remainder when v is divided by 36?
35
Let f = 119 - 64. Let z = f - 36. Suppose -3*j = -j + 4, 0 = 4*t + 5*j - 138. Calculate the remainder when t is divided by z.
18
Let a be 2 - (3 + -5)/(4/14). Suppose -35 = a*z - 278. Calculate the remainder when z is divided by 4.
3
Let j(d) = d**2 + 15 + d**3 + 134*d - 71*d - 68*d. What is the remainder when 149 is divided by j(0)?
14
Let j = 293 + -264. Calculate the remainder when j is divided by 25.
4
What is the remainder when (-325)/(-35) + -9 + (-103)/(-7) is divided by 11?
4
Let u(f) = 60*f**3 + 3*f**2 - 5. What is the remainder when u(2) is divided by 29?
23
Let u(n) = -n**2 + 29*n - 82. Calculate the remainder when u(19) is divided by 5.
3
Let i be 6/(-4) - 594/(-4). Suppose 7*b = i - 21. Suppose 4*c = b + 6. What is the remainder when 15 is divided by c?
3
Suppose 0 = -4*x - 85 - 59. Calculate the remainder when (-960)/x*6/5 is divided by 12.
8
Let s(a) = 3*a - 44. Let t(u) = 2*u**2 + 5*u - 14. Let x be t(3). Calculate the remainder when 35 is divided by s(x).
9
Suppose 9*h = 10*h - 3. Suppose p - h*b - 62 = -b, 3*b + 338 = 5*p. Calculate the remainder when p is divided by 15.
10
What is the remainder when 36 is divided by 26320/728 - (-2)/(-13)?
0
Suppose -g + 3*y + 952 = 0, -59*g + 5*y + 2864 = -56*g. Calculate the remainder when g is divided by 30.
28
Calculate the remainder when 292 is divided by (-59)/(-3)*(-22 + 25).
56
Let d(t) = t**3 + 21*t**2 - 11*t - 38. Let y(q) = -q**2 - q + 1. Let a(k) = -d(k) - 6*y(k). What is the remainder when 2*2*126/8 is divided by a(-16)?
15
Suppose 53 = 3*r + 4*k, -64 = -4*r - 2*k - 2*k. What is the remainder when (-48)/(-10)*(-60)/(-8) - -5 is divided by r?
8
Suppose -1 = b + 4. Let p(c) = c + 7. Let h = 165 + -164. What is the remainder when p(b) is divided by h?
0
Suppose a + 12*d - 15*d - 391 = 0, 4 = -4*d. Calculate the remainder when a is divided by 34.
14
Let u = 78 + -66. Calculate the remainder when 57 is divided by 5/((-20)/u) + 6 + 28.
26
What is the remainder when 99 is divided by (500/(-15))/4*-3?
24
Suppose 7*n - 137 = -5*l + 11*n, 53 = 2*l - n. Calculate the remainder when 271 is divided by l.
21
What is the remainder when 74 is divided by (-1)/2*(396/(-9) - 6)?
24
Suppose -787 = -17*z + 539. Calculate the remainder when 330 is divided by z.
18
Suppose -134 = -13*k + 74. Calculate the remainder when 93 is divided by k.
13
Suppose -t + 4*t - 7*t + 28 = 0. What is the remainder when (-2)/(1 + -3)*31 is divided by t?
3
Let c = 8 + -6. Suppose -2*v + 12 = -5*h + 56, -24 = -c*h + 4*v. What is the remainder when h is divided by (8 - 10) + (-7 - -4) + 8?
2
Let c = 23 - 11. Suppose -39*t = -43*t + 8. Suppose -t*j = -34 + c. Calculate the remainder when 53 is divided by j.
9
Suppose 0 = -s + 3*a + 6 - 51, 244 = -5*s - 4*a. Let i = 54 + s. Calculate the remainder when 41 is divided by i.
5
Suppose 8*j - 5*j = 0. Let w(s) = s**2 - 2*s + 18. What is the remainder when ((-165)/12 + 1)*-4 is divided by w(j)?
15
Calculate the remainder when 189 is divided by -1*(-85 - -5)/8.
9
Let o(w) = 39*w**3 + 6*w**2 - 12*w + 9. Calculate the remainder when o(2) is divided by 54.
51
Calculate the remainder when 135/180 + 1090/8 is divided by 45.
2
Suppose 869 + 1078 = 59*n. What is the remainder when 395 is divided by n?
32
Let v(q) = -q**3 - q - 25. Let m be v(0). Suppose -9 = -3*w, 5*k + 3*w - 34 - 90 = 0. Calculate the remainder when k is divided by ((-42)/(-10) - -1) + 5/m.
3
Suppose 5*q - 7*q = -56. Let k = -23 + q. What is the remainder when k is divided by 2?
1
Let x(u) = u**3 + 4*u**2 - 2*u - 4. Let m be x(-3). Suppose -4*q - 5*a = m, -2*a - a = 5*q + 4. What is the remainder when (-4)/(-6)*9/6 is divided by q?
0
Let a = -70 + 143. Let n = -2 - -2. Suppose -g = -n*g - 19. What is the remainder when a is divided by g?
16
Let t = 333 - 325. What is the remainder when 130 is divided by t?
2
Suppose -120 = -4*k - t + 11, 0 = -4*t - 4. Let v = 14 - 9. Calculate the remainder when k is divided by v.
3
Suppose 0 = 4*f + 5*p - 89, 6 = 5*p + 1. Let a = f - 19. Suppose -3*i + 61 + 113 = 3*d, -a*i = -3*d + 149. What is the remainder when d is divided by 18?
17
Suppose -37 + 7 = 5*p. Let s(l) = -l - 6. Let m be s(p). Suppose a - 4*c - 36 = -0*a, -4*a - 5*c + 102 = m. Calculate the remainder when 55 is divided by a.
27
Suppose -2*u = -17 - 11. Calculate the remainder when (2366/(-637))/((-2)/14) is divided by u.
12
Let f(o) = o**2 - 8*o - 73. Calculate the remainder when 22 is divided by f(-6).
0
Let r = 3 - 2. Suppose 7 = h + p, 2*h + p - 4 - 6 = 0. Calculate the remainder when h is divided by r.
0
Let j be 3429/15 - 9/15. Suppose 12 - j = -4*f. Suppose -30 = 2*h - 4*h + 2*r, 29 = 2*h - r. What is the remainder when f is divided by h?
12
Suppose -9027 = 25*o - 42877. What is the remainder when o is divided by 12?
10
Suppose -g - 5*q + 121 = 97, 0 = -g + 5*q + 14. Calculate the remainder when ((-10)/8)/((-2)/120) is divided by g.
18
Suppose 0 = 4*c - 1 - 51. Suppose 4*w - 3*v - 496 = 0, 0 = 2*v - 4*v. Let z = 173 - w. Calculate the remainder when z is divided by c.
10
Let r(n) = -2*n**2 - 83*n - 168. Calculate the remainder when 267 is divided by r(-39).
24
Suppose 0*z = -4*z + 160. Calculate the remainder when (-6)/14 + (-26616)/(-168) is divided by z.
38
Suppose 12*t = -0*t - 1008. Let j = 132 + t. Calculate the remainder when j is divided by 18.
12
Let k be (253/44)/((-1)/4). Let q = k + 27. Suppose i + 2*h = h + 26, -q*i - 3*h = -99. Calculate the remainder when 60 is divided by i.
18
Let a(z) = -z + 21. Let o be a(12). Let n be 3 - o/3 - -4. Suppose -155 = -5*i + t, 2*t - 7*t = -n*i + 103. Calculate the remainder when i is divided by 11.
10
Let a(j) = -77*j + 30. What is the remainder when a(-4) is divided by 5?
3
Suppose 19 = 3*x - 3*j - 71, -110 = -5*x - 5*j. Let q = x - 14. Suppose 2*t - 36 = 32. What is the remainder when t is divide