t is the remainder when l is divided by 29?
28
Let l(n) = -n**3 + 31*n**2 + 2*n - 903. What is the remainder when 161 is divided by l(30)?
47
Suppose 101 = 11*l + 24. Calculate the remainder when 24 is divided by l.
3
Suppose -7*j + 16 = -19. Suppose j*f + 3 + 25 = 3*x, 4*x = -4*f - 16. Calculate the remainder when 1/(x*4/204) is divided by 9.
6
Suppose 0 = f + 5*y - 380, -760 = -2*f - 8*y + 6*y. What is the remainder when f is divided by 64?
60
Suppose -5*t = -6*t + 78. Suppose 4*f - 106 = -t. Calculate the remainder when 8 is divided by f.
1
Suppose 0 = -2*m + 10, -4*h = 10*m - 11*m - 99. Calculate the remainder when h is divided by 2/3 + 50/6.
8
Let r = 659 + -649. Calculate the remainder when 17 is divided by r.
7
Let q = -14 - -42. What is the remainder when 10 is divided by (-14)/(-4)*24/q?
1
Let w be (-94)/(-6) + (-5)/(-15). Let n = -10 + w. Calculate the remainder when 10 is divided by n.
4
Let q = -136 + 314. What is the remainder when q is divided by 26?
22
Suppose -4*k + 7 = -2*a - 9, -5*k = -a - 20. Suppose 0 = 5*i - 2*i + r - 188, i - 59 = -k*r. Calculate the remainder when i is divided by 32.
31
Let g(i) = i**2. Suppose 0 = 3*w - 2*w - 2. Let c be g(w). Suppose -79 = -3*b + 5*x, c*x - 80 = -5*b + 2*x. What is the remainder when 34 is divided by b?
16
Let r(w) = -w + 23 + 0*w + 0*w + 3*w. What is the remainder when r(-2) is divided by 8?
3
Suppose 5*s - 3*h + 73 = 950, -4*h + 676 = 4*s. Let r(q) = -q**3 + 18*q**2 + 2*q - 7. Calculate the remainder when s is divided by r(18).
28
Let v = 1283 - 1234. Calculate the remainder when 172 is divided by v.
25
Let v(h) = h**2 + 11*h + 12. Let o be v(-10). Suppose 8 = o*j, 0 = -2*l - 5*j - 189 - 127. What is the remainder when 82 is divided by (6/9)/((-4)/l)?
26
Let l = -1327 + 1338. Calculate the remainder when (-4)/(-1)*(-43)/(-4) is divided by l.
10
Let d be (12/(-4))/3 + 2. Let p(j) = 2*j - 1. Suppose 0 = -5*r + 5. Calculate the remainder when p(d) is divided by r.
0
Suppose -2*x - 19 = -5*v, -46 = -5*v - 3*x - 12. Suppose -v*u = -5*w + 96 + 109, 2*u + 127 = 3*w. Calculate the remainder when w is divided by 23.
22
Let j = -16 + -29. Calculate the remainder when 35/(-2)*396/j is divided by 52.
50
Suppose -3*r = -175 - 8. What is the remainder when r is divided by 19 - 15 - (0 + -1 + -27)?
29
Let s(p) = 10*p**2 - 2*p + 4. Let y be s(2). Suppose 0*u + 2*x = 5*u - 58, -2*u + y = -5*x. Calculate the remainder when 5/2*204/u is divided by 13.
12
Let g(b) = -2*b**3 - 19*b**2 + 22*b + 71. Calculate the remainder when g(-11) is divided by 7.
3
Suppose 0 = -7*g + 16 + 103. What is the remainder when 101 is divided by g?
16
Let n = 14 + -9. Suppose -4 - 20 = -3*w. Let b = w - n. What is the remainder when 6 is divided by b?
0
Suppose 5*x + o - 76 = 0, -3*x - o + 5*o = -64. Suppose -19*j + 18*j = w - 36, -15 = -3*j. What is the remainder when w is divided by x?
15
Let b be (17 - 13)/(-3*4/(-6)). Suppose -b*d + 144 = 4*d. Calculate the remainder when 92 is divided by d.
20
Let i(k) = -k**2 + 15*k - 4. Suppose -2*f - 2*h + 22 = 0, 0*h - h = -2*f + 25. What is the remainder when 126 is divided by i(f)?
30
Let m(n) = 2*n**2 - 1 + n + 1 - 2. Let t be m(-2). Suppose -x - t*x + 4*g = -27, 5*x - 5*g - 25 = 0. What is the remainder when 12 is divided by x?
5
Let v(o) = o**2 + 9*o - 5. Let a be v(-10). Suppose -a*f - 45 = -10*f. Suppose f*t - 13*t = -512. What is the remainder when t is divided by 26?
24
What is the remainder when 1 - (-264 + -7 + -6) is divided by 9?
8
Let v be -1*(0 + 1)*-1. Let i be (6/4)/(v/(-114)). Let p = -112 - i. Calculate the remainder when p is divided by 15.
14
Suppose 0*q = 13*q + 91. What is the remainder when ((-9)/(-6))/(q/(-42)) is divided by 6?
3
Let w = -1356 + 2443. Suppose w = 7*h + 198. Calculate the remainder when h is divided by 16.
15
Let v(p) = p**2 - 22*p - 9. Calculate the remainder when v(-4) is divided by 9.
5
Let q(m) = -2*m**2 + 14*m + 14. Let t(x) = -x**2 - x - 1. Let o(s) = -q(s) + 3*t(s). Let w = 1 - 13. Calculate the remainder when o(w) is divided by 23.
20
Let f be (-2)/(-1) + 132/11. Let g be ((-12)/f)/((-5)/35). Let a(q) = 2*q**2 + 2*q - 11. Calculate the remainder when a(g) is divided by 25.
23
Suppose 0 = -4*s + s. Let f = s - -12. What is the remainder when 19 is divided by (34/f + -2)*6?
4
Let u = -16 + 35. What is the remainder when 207 is divided by u?
17
Suppose -3*o + 80 = 2*o. Suppose 17 = 2*g - h, 3*h = 4*g + 5*h - 46. Let n = o - g. Calculate the remainder when 15 is divided by n.
3
Let a be 6/3 + 2 + (-3)/3. Suppose -5*u - 2*v + 85 = -0*v, 0 = -3*u - a*v + 51. Calculate the remainder when 48 is divided by u.
14
Suppose 8*q + 4*y = 5*q + 76, 76 = 4*q - y. Calculate the remainder when 214 is divided by q.
14
Let j = 8 + 4. Suppose 0 = 3*x - j - 6. Calculate the remainder when 22 is divided by x.
4
Let s(f) = 2*f - 3. Suppose 2*q - 7*q = -10. Suppose -3*w + 17 = -q*w. Calculate the remainder when w is divided by s(4).
2
Suppose 0 = x + 84 - 83. What is the remainder when 40/2 - (x - (-6)/2) is divided by 14?
4
What is the remainder when 38 is divided by (-5)/(-60)*8*9?
2
Let c(y) = -y**2 + 41*y - 165. Calculate the remainder when 0 - (-1 + 0) - -26 is divided by c(36).
12
Calculate the remainder when 2/(-48)*-1545 - (-3)/(-8) is divided by 21.
1
Suppose -4*y + y + 171 = 0. Suppose 3*w - 4*w - 3*c + y = 0, 3*c - 114 = -2*w. Calculate the remainder when w is divided by 412/28 + 4/14.
12
Let s(m) = m**3 - 9*m**2 + 9*m - 4. Let r(c) = -c**3 - 3*c**2 + 4. Let w be r(-3). What is the remainder when 1/(-1 - w/(-3)) - -10 is divided by s(8)?
1
Suppose -4*a + 375 = -g, a + 3*g - 29 = 68. What is the remainder when a is divided by 5?
4
Let s = 51 - 37. Let z(v) = 4*v + 1 - 12*v - 8. Calculate the remainder when z(-6) is divided by s.
13
Suppose 0 = -4*l + 2*m + 616, -4*m + 2 = -3*m. What is the remainder when l is divided by 26?
25
Let h be ((-29)/(-5))/1 + (-20)/(-100). Calculate the remainder when 68 + (-15 + 13)*h/(-4) is divided by 18.
17
Suppose x = 7 - 0. Let y = x + -12. Let c = y - -19. Calculate the remainder when c is divided by 8.
6
Suppose -29 = 4*j - 65. Suppose -4*u + j*u - 336 = -y, -20 = 5*y. What is the remainder when u is divided by 14?
12
Suppose 9*i = 80 + 73. What is the remainder when (-280)/15*(-42)/8 is divided by i?
13
Suppose -3*a + 5*s + 268 = 0, 132*a - 277 = 129*a - 4*s. What is the remainder when 433 is divided by a?
69
Suppose 14*y = 4*y + 400. Let v = y + -25. Calculate the remainder when 41 is divided by v.
11
Let t = -84 + 43. Let x = 44 - t. Let o = 48 + -26. What is the remainder when x is divided by o?
19
Let c(r) = 23*r**2 + 5*r - 3. Let i be c(1). Suppose -5*q - 62 = -4*l + i, 45 = 2*l - q. What is the remainder when 66 is divided by l?
20
Let c(t) = -t**3 + 9*t**2 + 16*t - 30. What is the remainder when c(6) is divided by 22?
20
Suppose 103 = 4*u - o, -u + 2*o + 37 = -2*o. What is the remainder when 271 is divided by u?
21
Let h = -1406 + 1560. Calculate the remainder when h is divided by 142.
12
Suppose 8*k = 102 + 402. Calculate the remainder when 377 is divided by k.
62
Let w = -182 - -185. Calculate the remainder when 50 is divided by w.
2
Let d = 205 - 162. What is the remainder when 76 is divided by d?
33
Suppose -117 = 5*q + 5*c - 1837, 4*q = -3*c + 1372. What is the remainder when q is divided by 11?
10
Let c = 131 - 62. Suppose -16*h = -19*h + c. What is the remainder when h is divided by (-98)/(-8) + 3/(-12)?
11
Let s(g) = -193*g**3 + 2*g + 1. Let z be s(-1). What is the remainder when z*((-10)/4 - -3) is divided by 14?
12
Let r = -2305 + 2799. What is the remainder when r is divided by 63?
53
Suppose 5*n - 3 = 17. Let m = -2 + n. Suppose 9 = m*w - 13. Calculate the remainder when 30 is divided by w.
8
Let v = 86 + -62. Suppose 2*x - v = -2*s, 46 + 15 = 5*s + 4*x. Calculate the remainder when 24 is divided by s.
11
Let q(x) = 9*x**2 + 17*x + 24. What is the remainder when q(-2) is divided by 10?
6
Suppose -5*n + 880 = -270. Calculate the remainder when n is divided by 81.
68
Let v(u) = -u**3 + 2*u - 7. What is the remainder when v(-5) is divided by 30?
18
Suppose k = 3 + 2. Suppose -3*p = -0*p + 3*y, k = -y. Suppose 0*h + 4*l = 3*h - 1, 0 = -4*h + p*l + 3. What is the remainder when 13 is divided by h?