7
Let c be -2 + (0 - (-3 + 1)). Suppose 7*g - 19 - 2 = c. Calculate the remainder when 8 is divided by g.
2
Let h(t) = 0*t**2 - t - 9 + t**2 + 12 - 6. What is the remainder when h(-7) is divided by 8?
5
Let h(p) = -p**2 + 48*p - 123. Calculate the remainder when 418 is divided by h(3).
10
Let p(g) = -8*g - 3. Let y be p(-5). Let i = y + -11. What is the remainder when i is divided by 7?
5
Let o be 4/10 - 37642/55. What is the remainder when ((-6)/4)/(27/o) is divided by 14?
10
Suppose 2*c - 285 = -3*g - 102, 5*g - 273 = -3*c. Calculate the remainder when c is divided by 50.
46
Calculate the remainder when (-6 - 90/(-21))/(1/(-35)) is divided by 8.
4
Let h = -59 - -82. Let f(u) = 2*u**2 - 317*u + 2188. Calculate the remainder when f(7) is divided by h.
21
Suppose 17*x + 2 + 15 = 0. Calculate the remainder when 102 is divided by (x + (-56)/(-2))/(-8 - -9).
21
Suppose 0 = 12*s - 134 + 26. Suppose 5*o - 8 = 3*o. Calculate the remainder when s is divided by o.
1
Suppose 5*t + 279 = 4*s, 6*s = 4*s + 4*t + 132. Suppose -5*q = -9*q - s. Let h = -6 - q. Calculate the remainder when 23 is divided by h.
10
Let u = 4 - 0. Suppose 0*r - 2*r = -z - 25, -4*z - 76 = u*r. What is the remainder when 19 is divided by 7/z - (-44)/6?
5
Let h = 339 + 26. Calculate the remainder when h is divided by 37.
32
Let z = -3 + 15. Suppose -23 = -5*b - 19*x + 16*x, 2 = 2*x. What is the remainder when z is divided by b?
0
Suppose 12*q = 10*q + 8. Calculate the remainder when (-3)/(-15) + -2*(-96)/15 is divided by q.
1
Suppose -2*i = -6*i + 128. Let y = 64 - i. What is the remainder when y is divided by 19?
13
Let s = -225 - -894. Calculate the remainder when s is divided by 75.
69
Let z = -9 + -16. What is the remainder when (33 + 1)*(-24 - z) is divided by 6?
4
Suppose 2*k + 3*k = 165. Suppose -77 - 76 = -9*d. Suppose -7*t = -8*t + d. Calculate the remainder when k is divided by t.
16
Let t = -205 + 1059. What is the remainder when t is divided by 43?
37
Suppose -213*r + 218*r - 125 = 0. Suppose 0 = 5*n + 3*w - 62, 0 = -w - 0*w + 4. Let g = n + r. Calculate the remainder when g is divided by 9.
8
Suppose 0 = a + 61 - 328. Calculate the remainder when a is divided by 102.
63
Let p = -54 + 171. Suppose 0*t + 58 = 3*t - i, 0 = 3*t + 5*i - 70. What is the remainder when p is divided by t?
17
Calculate the remainder when 246 is divided by 9854/78 + 1/(-3).
120
Let r(d) = d + 35. Calculate the remainder when 70 is divided by r(-20).
10
Let s(m) = -36*m + 366. Suppose -4*f + 250 = -2*f. Calculate the remainder when f is divided by s(9).
41
Let k(u) = -u**3 + 36*u**2 - 34*u - 28. Calculate the remainder when 19 is divided by k(35).
5
Suppose -2*r - 299 = -15*r. What is the remainder when r is divided by 16?
7
Let n = -38 - -38. Suppose -w + n*w + 20 = 0. What is the remainder when w is divided by 8?
4
Let z(r) = -r**3 + 10*r**2 + 7*r - 26. Let i be z(10). Let m = -33 + i. Calculate the remainder when 28 is divided by m.
6
Suppose 0 = m + 2*a - 50, 4*m + 2*a + 61 = 279. What is the remainder when 183 is divided by m?
15
What is the remainder when 35 is divided by (-4)/(2 - 48/20)?
5
Let c be (-736)/(-14) + ((-24)/14)/(-4). Suppose -4*h = -5*k - 117, -3*h + 2*k + 139 = c. What is the remainder when h is divided by 9?
1
Suppose -6*m - 14 = -98. Calculate the remainder when 125 is divided by m.
13
Let l = -39 + 58. Suppose 876 = -8*d + 20*d. What is the remainder when d is divided by l?
16
Let w = -120 + 4985. Calculate the remainder when w is divided by 157.
155
Let x be (-508)/(-14) + 6/(-63)*3. Suppose -x = -u - 11. Suppose 3*d + 11 = 5*p - 3*p, -3*p + d = -34. What is the remainder when u is divided by p?
12
Let w = -279 + 287. What is the remainder when 286 is divided by w?
6
Suppose 3*y = -3*k + 84, 5*k - 5*y + 65 = 235. What is the remainder when 116 is divided by k?
23
Let b(z) = -106*z + 541. Suppose -12 = -g + 4*f - f, 0 = 3*f + 9. What is the remainder when b(5) is divided by g?
2
Let u = -2613 + 2625. What is the remainder when 378 is divided by u?
6
Let i = -1203 - -1260. Calculate the remainder when 1081 is divided by i.
55
Let w be ((-7)/(-3))/(7/84). Let u = w + 0. Calculate the remainder when 2422/u - (-1)/2 is divided by 15.
12
Suppose 0 = 4*y, 5*p + 4*y - 27 = 53. Suppose l - 5*x = -8, -5*l - 3*x + p = -0*l. What is the remainder when l is divided by (1 - (-12)/(-4))*-1?
0
Suppose -4*b - 2 = 2, 3*b = 3*v - 69. Suppose 0*r - 14 = -4*c + 2*r, 5*c = -2*r + v. Suppose -149 = -3*d + c. Calculate the remainder when d is divided by 13.
12
Calculate the remainder when 148 + 63/(4 - -3) is divided by 16.
13
What is the remainder when (9/(-6))/((-21)/(-9800)*-5) is divided by 45?
5
Let s(q) = -8*q**2 - 7 + 3*q**2 + 2*q - q**3 - 5*q**2 - 12*q. Let z be s(-9). Suppose 4*j + z - 6 = 0. What is the remainder when 4 is divided by j?
0
Suppose 2*f = -3*v + 17, -1 = -2*f + 1. Let n = -22 + 12. Let k(j) = -j**3 - 9*j**2 + 8*j - 4. Calculate the remainder when k(n) is divided by v.
1
Suppose 2*m - 1076 = -4*q, -2*q - 4*m = -8*m - 548. What is the remainder when q is divided by 59?
34
Suppose 10*g + 20 = 12*g. Suppose x = -5*w + 63, -5*x - 8 - 2 = 0. What is the remainder when w is divided by g?
3
Let f = 82 + -68. Calculate the remainder when 38 is divided by f.
10
Let f(z) = 2*z**2 + 17*z + 56. What is the remainder when 84 is divided by f(-5)?
0
Let k = 11 + -69. What is the remainder when (5 - k/2) + 1 is divided by 19?
16
Let t(b) = -125*b**3 - b**2 + b + 1. Let q be (9 + -1)/(-2) + 3. What is the remainder when t(q) is divided by 42?
40
Suppose -30 = -5*h + 3*h. Let n(b) = b**2 + b + 35. Let u be n(0). What is the remainder when 970/u + 6/21 is divided by h?
13
Let y(i) = -i**2 - 20*i - 13. What is the remainder when y(-15) is divided by 33?
29
Let c(g) = 3*g - 3. Let d be c(3). What is the remainder when 12 is divided by 5 - (-3 + d) - -1?
0
Let a(z) = 31*z. Let u(b) = 13*b - 18. Let t = -84 + 87. What is the remainder when a(2) is divided by u(t)?
20
Suppose -6*w + 7*w - 35 = 0. Calculate the remainder when 103 is divided by w.
33
Suppose -2*a + 26 = -3*g, -a + 5*g + 21 = -6. Let s(w) = w**3 - 6*w**2 - 5*w - 9. What is the remainder when 8 is divided by s(a)?
3
Let s(l) = -l**3 + 13*l**2 + 20*l - 59. Calculate the remainder when s(14) is divided by 13.
12
Let f = -96 - -119. Calculate the remainder when (2 - 1)/(1/43) is divided by f.
20
Let h = 43 - 37. Suppose -3*g - 19 + 67 = 0. What is the remainder when g is divided by h?
4
Suppose 16 = 4*z, -4*z - 33 = v - 96. What is the remainder when v is divided by 12 - (484/220 + 2/(-10))?
7
Suppose -5*k + 2*n + 166 = n, -5*n = 3*k - 94. What is the remainder when 123 is divided by k?
24
Let b(h) = 29*h + 42. Let r(d) = -2*d**3 + 2*d**2 + 3*d - 1. Calculate the remainder when r(-3) is divided by b(-1).
10
Let s(z) = -47*z + 551. Calculate the remainder when 236 is divided by s(11).
32
Let p = 214 + -200. What is the remainder when 83 is divided by p?
13
Let o = -4 - -7. Suppose 22 = 5*d + 3*i, 0 = 4*d + o*i + 8 - 25. Suppose 0 = -4*k - 4*t, t = 5*k - 2*t - 24. What is the remainder when d is divided by k?
2
Let o be (-10)/4 - ((-52)/8 - -4). What is the remainder when (-819)/(-24) + o + 2/(-16) is divided by (-50)/(-4) - (-2)/(-4)?
10
Suppose -195 = -29*m - 10*m. Calculate the remainder when 49 is divided by m.
4
Suppose -361*g + 988 = -342*g. Let c = 37 + -23. What is the remainder when g is divided by c?
10
Let d = 16 + -12. Suppose 26 + 50 = d*u. Calculate the remainder when 94 is divided by u.
18
Suppose 4 - 55 = -5*n - o, -3*n + 25 = -5*o. Let z = -680 - -709. What is the remainder when z is divided by n?
9
Let t(d) = 4*d**3 - 9*d**2 + 4*d - 28. Let v(u) = u**3 - 2*u**2 + u - 7. Let y(g) = 2*t(g) - 9*v(g). What is the remainder when 21 is divided by y(0)?
0
Let s(o) = o + 23. Let d be s(-23). Let h = -9 + 14. Suppose 0 = j - h*m + 9, 3*j + j + 2*m - 30 = d. Calculate the remainder when j is divided by 3.
0
Suppose 10 = 2*v + 4. Let x(c) = 0*c + c + v + 2 - 3 + 3*c**2. What is the remainder when 61 is divided by x(2)?
13
Let n(z) = 3*z**2 - 5*z + 7. Let c(k) = -k. Let m(t) = -9*t - 12. Let x(b) = -12*c(b) + m(b). Calculate the remainder when n(5) is divided by x(9).
12
Let i be (-4)/(-2)*(-3)/(-6). Let g(n) be the second deriv