divided by 16?
14
Suppose -14805 - 11495 = -40*i - 10*i. Calculate the remainder when i is divided by 8.
6
Suppose 31*x - 25327 = -0*x. Suppose 0 = 4*b + 15*b - x. What is the remainder when 53 is divided by b?
10
Suppose 138 = 4*n - 220*w + 215*w, -n - 3 = 5*w. What is the remainder when 536 is divided by n?
23
Suppose 0 = 190*p - 195*p + 5, -4*p - 320 = -4*i. What is the remainder when 111 is divided by i?
30
Let t(s) = s**3 - 5*s**2 + 5*s + 2. Suppose -3*b = -3*u + 2*b - 133, -61 = u - 5*b. Calculate the remainder when t(6) is divided by u/27 + 146/6.
22
Suppose n + 3*n + b = 48, -28 = -4*n + 4*b. What is the remainder when (-520)/(-26)*((-24)/5)/(-4) is divided by n?
2
Let x be ((-1)/2)/((-1)/68). Suppose 2637 = 128*r - 8371. Suppose -10*a + r = -x. What is the remainder when 30 is divided by a?
6
Let b(y) = y**2 + 17*y - 2. Let s be b(-17). Let n be s + 1 + 0 - (-128 - 5). Suppose -a = 3*a - n. Calculate the remainder when a is divided by 9.
6
Suppose -4*z - z + 160 = 0. Suppose 0 = 45*y - 51*y - 180. Calculate the remainder when z is divided by -3*5/y - 147/(-14).
10
Let a = -78 + 177. Suppose k - a = -14. What is the remainder when k is divided by 18?
13
Let y(t) = t**3 - 6*t**2 + 10. Let u be y(6). Suppose -u*b + 360 = 5*b. Calculate the remainder when b is divided by 19.
5
Let f = -20742 + 21055. What is the remainder when f is divided by 41?
26
What is the remainder when 1191 is divided by ((-12)/18 - 1) + (-260)/(-12)?
11
Suppose 2200 = 65*c - 21*c. Let l = -25 + 53. Calculate the remainder when c is divided by l.
22
Suppose -10 + 142 = 4*p. Let h = p - 33. Suppose 11*r - 8*r + 8 = 2*q, -3*q - r + 34 = h. Calculate the remainder when 27 is divided by q.
7
Let z = 26 + 10. Let b = z - 24. Let t(k) = 30*k + 2. Calculate the remainder when t(1) is divided by b.
8
Suppose -2*p = -1 - 5. Let n be 11 + 24/(-16)*10. What is the remainder when 85 is divided by (n/8)/(p/(-180))?
25
Let n = 19 + -6. What is the remainder when (8 + 8 + -5)*n is divided by 30?
23
Let k(m) = -9*m + 6. Let t be k(-7). Let r be (-48)/(0 + 2 + -1). Let c = r + t. Calculate the remainder when c is divided by 11.
10
Calculate the remainder when 751 is divided by (30/60)/(1/12).
1
Calculate the remainder when 6383 - ((-18)/7 - (-25)/((-1400)/24)) is divided by 80.
66
Let u(z) = -3*z**3 - 200*z**2 + 269*z - 132. Calculate the remainder when 172 is divided by u(-68).
28
Let m(f) = 2*f + 13. Let w = 39 - 31. What is the remainder when (4 + 205/20)*(1 - -3) is divided by m(w)?
28
Suppose -4*w + 315 = -3*u, -3*w + 3*u + 190 = -50. Suppose 0 = 63*h - 62*h - w. Let p = h - 37. Calculate the remainder when p is divided by 11.
5
Let l(r) = 913 - 840 - 5*r + 10*r. What is the remainder when l(6) is divided by 54?
49
Suppose 5*n + 622 - 182 = 3*p, 2*p = -n + 276. Let u = -82 + p. Calculate the remainder when u is divided by 21.
16
Let r(n) = 56*n - 3. Let s be (-8)/28 - ((-63990)/(-63) + 5). Let u = -983 - s. What is the remainder when r(2) is divided by u?
33
Suppose 0 = 5*y + 5, 7*p = 4*p + 4*y + 136. Calculate the remainder when 138 is divided by p.
6
Suppose 4*j + 36 = 2*o - 16, 3*o - 3 = j. Let s(c) = 64*c - 12. Let b be s(1). Calculate the remainder when 10 is divided by 5/j + b/12.
2
Let j be (0 + (-2)/(-2))*(-2 - -9). Suppose y = j*y - 144. Let x = 39 - y. Calculate the remainder when 73 is divided by x.
13
Let m(p) = 1664*p - 441. What is the remainder when m(6) is divided by 74?
71
Let q(y) = -148*y - 1227. Calculate the remainder when q(-9) is divided by 32.
9
Let d be (-320)/(-60)*((-9)/4 + 3). Suppose 3*r - 7*l = -d*l + 393, -l + 262 = 2*r. What is the remainder when r is divided by 24?
11
Let s = 153 + -92. Let w = s + -56. Suppose -w*l + 78 = 4*t, 3*t + 3*l = 34 + 23. What is the remainder when t is divided by 5?
2
Let o = -11434 - -11457. What is the remainder when 773 is divided by o?
14
Let l = -2103 - -2105. Calculate the remainder when 127 is divided by l.
1
Let j be 10/8 + 115/(-92). Calculate the remainder when 113 is divided by 29*(j + (4 - (1 + 2))).
26
Let z(n) = -n + 12. Suppose -174 = -48*f + 978. What is the remainder when f is divided by z(7)?
4
Suppose -8 = 7*n - 22. Suppose 49 = 3*w - n*w. What is the remainder when w is divided by (-8)/(-1) + 3 + -1?
9
Suppose -10*w - 8 + 3398 = 0. Let u = w - -75. What is the remainder when u is divided by 52?
50
Suppose 9*r + 29*r - 304 = 0. Calculate the remainder when 219 is divided by ((-6)/(-9))/(r/36).
0
Let p(k) = 9*k + 767. What is the remainder when 1167 is divided by p(-53)?
7
Suppose 49*i + 5*y + 444 = 52*i, 0 = 3*i + 5*y - 384. Calculate the remainder when i is divided by 36.
30
Let x = 3 + 27. Let m = x + -12. Suppose -468 = 97*g - 106*g. What is the remainder when g is divided by m?
16
Let o = 466 - 463. Let b be (-3)/9*(-108)/4. Let v = b - 8. Calculate the remainder when o is divided by v.
0
Let v be (589/(-2))/(-1) + 45/30. Let t = v + 107. What is the remainder when t is divided by 29?
26
Let k be 4/14 + (8 - (-25)/35). Suppose -206 = -3*i - 4*q, i + 3*q - 68 = k. Calculate the remainder when 617 is divided by i.
59
Let q = 210 - 35. Let i = 4 - -7. Calculate the remainder when q is divided by i.
10
Suppose 291*o - 137*o = 136*o + 5274. Calculate the remainder when o is divided by 8.
5
Let j(r) = 2*r**2 - 88*r + 708. Calculate the remainder when 1/(2/(135 - -1)) is divided by j(10).
12
Let m be (143/4)/(((-7)/(-4))/7). Suppose -4*p + m = 9*p. Suppose -4*b - b + 155 = 0. What is the remainder when b is divided by p?
9
Let i be (-2)/(-4)*(45 + -9). Calculate the remainder when i/(-24)*(-592)/3 is divided by 53.
42
Suppose 2*y - 5*n = 293, -3*y + 5*n + 307 + 150 = 0. Calculate the remainder when 167 is divided by y.
3
Suppose -3*j = 5*k - 98, 86 = 2*j + j + 2*k. Let v = -530 + 581. Calculate the remainder when v is divided by j.
25
Suppose 41835*n = 41811*n + 384. Calculate the remainder when 1390 is divided by n.
14
Suppose 0 = -7094*n + 7112*n - 2034. What is the remainder when 247 is divided by n?
21
Let y = 8021 + -8001. Suppose 0 = 5*q - 408 + 38. Calculate the remainder when q is divided by y.
14
Suppose -20*j + 6*j = -154. Calculate the remainder when 450 is divided by j.
10
Suppose -3*u = 2*t - 3471, 14*t - 16*t = 5*u - 5785. What is the remainder when u is divided by 8?
5
Suppose 5*i = -10*i - 4*i + 1786. Let v be 0*(-2)/4*-1. Suppose 2*m + 3*m - 120 = v. What is the remainder when i is divided by m?
22
Suppose 3*b = -4*j + 6*b + 339, -3*j + 255 = -2*b. Calculate the remainder when 108 is divided by (j/(-18))/(-1)*6.
21
Let c(r) be the first derivative of -r**4/4 + 7*r**3/3 + 2*r**2 - r - 18. Let f be c(8). Let a = 5 - f. What is the remainder when 111 is divided by a?
35
Suppose -21 = -14*u + 7*u. Suppose 14 - 2 = -u*v, -5*v = -4*t + 84. Calculate the remainder when 92 is divided by t.
12
Let o(s) = -170*s + 897. Let a be o(5). Let q be ((-21)/9 - -3)*51. Let n = a - q. Calculate the remainder when n is divided by 6.
1
Suppose 0 = -f - q + 18, -37 + 29 = 4*q. Calculate the remainder when 42 is divided by f.
2
Suppose 4*s - 15 = 3*o + 25, 2*s - 18 = 2*o. Suppose -v - 8 = -0*i + 4*i, -v + s = -3*i. Suppose 28 = -v*p + 84. What is the remainder when 40 is divided by p?
12
Let y be 1*3*(116/6)/2. Suppose -v - 3*f + 25 = v, -v + 4*f = -y. Let t = 39 - 10. What is the remainder when t is divided by v?
12
Let f = 13 - 13. Suppose -3*v + 38 = j, 10*j - 106 = 8*j + 4*v. Calculate the remainder when j is divided by (14 - 1) + 3/(-3 - f).
11
Let i(a) = 43*a - 15. Let v be i(6). Suppose v*u = 239*u + 28. Let d(x) = -x**2 - 4*x + 1. Calculate the remainder when u is divided by d(-3).
3
Suppose 10*d - 3 + 43 = 0. Let r be (((-48)/d)/6)/((-2)/(-2)). What is the remainder when 67 is divided by (r + -42)/(-4) + 4?
11
Suppose -69 = -3*o + 3*h - 6, 3*h - 9 = 0. Let l(g) = g**3 - 2*g**2 + 6. Let b be l(0). Suppose -b*s + 13 = -5*s. What is the remainder when o is divided by s?
11
Let w(c) = -35*c + 49. Let y(s) = 4*s + 22. Let a be y(-6). What is the remainder when w(a) is divided by 6?
5
Suppose 2*s - 4*s - 88 = 0. Let f = s + 46. Calculate the remainder when (-3)/(24/(-194))*8/f is divided by 11.
9
Suppose -7*k + 1282 + 1343 = 0. Let t = -356 + k. Calculate the remainder when 493 is divided by t.
18
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