 remainder when 514/7 - 9/21 is divided by y(-10).
23
Let b(x) = 10*x + 375. What is the remainder when b(-35) is divided by 3?
1
Suppose -177*u = -176*u - 53. What is the remainder when u is divided by 28?
25
Let d(t) = 10*t + 1. What is the remainder when 297/5 + 22/((-330)/(-9)) is divided by d(3)?
29
Let n(a) = 48*a**2 - 2. Suppose 36*j + 1632 = 104*j. Calculate the remainder when n(2) is divided by j.
22
Let x(c) = -c**2 + 2*c + 90. Suppose 4*g + 0*g = 0. Let w be x(g). Let t = w + -62. What is the remainder when t is divided by 10?
8
Let b(w) = -3*w**3 - 11*w - 2 + 8*w + 2*w**3. Calculate the remainder when -1 + (-2 - (-2 - 35)) is divided by b(-2).
10
Let w be 15 + 1 - (-2 + 4). Suppose 9 = y - w. Suppose j = -0*j + 4*u, 5*u = 10. What is the remainder when y is divided by j?
7
Suppose 5*h = -5*u + 95, 4*h - 3*u - 73 = 10. Suppose -4*m + 2*m + 5*z = -60, 2*m = -z + 72. What is the remainder when m is divided by h?
15
Suppose 4*g - 104 = -3*u + 181, 5*g - 5*u = 330. Suppose 8 = 2*c, 0*c + 2*c = o - 10. Calculate the remainder when g is divided by o.
15
Let d(c) = -c**3 - 8*c**2 + 32*c + 11. Let y be d(-11). What is the remainder when 17 is divided by 910/154 - (-2)/y?
5
Let p(h) = 32*h**2 + h + 2. Suppose 9*v = 4*v. Suppose v = 8*q - 7*q + 1. What is the remainder when p(q) is divided by 9?
6
Let m(b) = -b**3 + 42*b**2 + 137*b - 4. What is the remainder when 5415 is divided by m(45)?
83
Let g = -126 - -191. Let b = g - -25. Calculate the remainder when b is divided by 47.
43
Let d = -381 + 420. What is the remainder when 194 is divided by d?
38
Let r(u) = -2*u**3 + 10*u**2 + 14*u + 5. Let l = 21 - 7. What is the remainder when r(6) is divided by (-32)/(-6) + l/21?
5
Let l = 45 - 59. Let b = l + 39. What is the remainder when 147 is divided by b?
22
Let f = -170 + 266. Suppose 0*l - 3*l - 4*z + 53 = 0, -29 = -4*l + 3*z. Calculate the remainder when f is divided by l.
8
Let z(j) = j + 13. Let g be z(-13). Let b = g - 1. What is the remainder when 7 is divided by -1 + b + 8 + -1?
2
Let m(r) = -r**2 + r - 1. Let t(v) = -v**3 - 9*v**2 + 15*v + 9. Let q(p) = 2*m(p) - t(p). What is the remainder when q(-8) is divided by 11?
7
Calculate the remainder when (2/8 + (-3871)/(-84))*3 is divided by 48.
43
Let m(n) = -4*n**2 + 2*n - 2. Let q be m(2). Calculate the remainder when (-8)/2*4/8*q is divided by 16.
12
Suppose 0 = -5*t + 2*h - 6, 0 = 2*h - 3*h + 3. Suppose t + 28 = 4*m. Let a(l) = l**2 + 18. Calculate the remainder when a(0) is divided by m.
4
Suppose -3*b + 10*m + 369 = 8*m, 0 = 2*b + 4*m - 246. What is the remainder when 484 is divided by b?
115
Suppose -2*s - 3*s + 1075 = 0. Suppose -38*n + 1136 + 916 = 0. Calculate the remainder when s is divided by n.
53
Let i be -64 - (-2 + 0 + 5 + -3). Let r = i + 79. What is the remainder when 58 is divided by r?
13
Let n = 68 + -61. Let y(k) = -k**2 + 16*k - 13. Calculate the remainder when y(n) is divided by 17.
16
Let i = 7 - -22. Suppose -5*g - 8 = -3*m, m - 17 = -3*g + 9. Suppose m = u - 4. What is the remainder when i is divided by u?
14
Suppose -5*r + 3 = -12. Suppose 5*f - 195 = l, 4*f + 3*l = -l + 180. Calculate the remainder when f is divided by 4*4 + (-6)/r.
12
Suppose 13*o + 6 = 45. What is the remainder when 42 is divided by o?
0
Let q(d) = -d**2 - d. Let p(y) = -7*y**2 + 6*y + 7. Let k(u) = -p(u) + 2*q(u). What is the remainder when 115 is divided by k(-2)?
28
Suppose 319 - 57 = 2*g. Calculate the remainder when g is divided by 45.
41
Let b = 131 + -57. Let m = 216 - 191. What is the remainder when b is divided by m?
24
Let o(v) = 18*v - 245. What is the remainder when o(31) is divided by 35?
33
Suppose -2 = 2*o + 4*u, -o + 5*u = -2*o - 13. Suppose -j - 14 = -2*m, 2*j - m - 15 = 7*j. Let t(n) = -5*n - 1. What is the remainder when t(j) is divided by o?
5
Suppose 0 = -0*a - 5*a - 2*h + 116, -4*a = -3*h - 102. Let v(s) = -s - 1. Let x be v(1). Calculate the remainder when (-3)/3 + (x - -97) is divided by a.
22
Let p(q) = q**3 + 20*q**2 + 16*q. Let k(o) = -o**2 - 2*o - 5. Let i be k(5). Let w = i + 21. What is the remainder when p(w) is divided by 20?
17
What is the remainder when (474/7)/(54/189) is divided by 71?
24
Let h be ((-28)/8)/((-3)/6). Suppose -5*i + 6*i = -h. Calculate the remainder when 3/i + 258/14 is divided by 5.
3
Suppose 5*a + 105 = 20*a. Calculate the remainder when 76 is divided by a.
6
What is the remainder when ((-18)/(-4))/((-1)/(-6)) is divided by (6 - 0)*25/15?
7
Suppose 0 = 3*t + 5*b + 9, -4*b = t + b + 13. Suppose i = -t + 13. Calculate the remainder when 41 is divided by i.
8
Let s be 1/(-2) + 405/6. Suppose 6*q = -12 + 24. Suppose -4*k + 256 = -l - l, k - q*l - s = 0. What is the remainder when k is divided by 22?
19
Calculate the remainder when 16275/81 + (4 - (-318)/(-81)) is divided by 69.
63
Suppose -2*j + 151 = 3*q, -3*j - 2*j - q + 397 = 0. Let l = -64 + j. Calculate the remainder when 110 is divided by l.
14
Suppose 14*z = 15*z - 7. Calculate the remainder when 49/z*(-20)/(-14) is divided by 9.
1
Let h(z) = z**2 + 7*z + 7. Let v be h(-8). What is the remainder when 3*((-1100)/v)/(-2) is divided by 28?
26
Let w(v) = -v + 6. What is the remainder when w(-15) is divided by 10?
1
Suppose 0 = -4*t + 20, t - 64 + 4 = -5*p. Suppose 6 = -m - r, 6*m - 4*r + 12 = m. Calculate the remainder when p is divided by 3/m + 62/8.
4
Suppose 17*x = 18*x - 8. Calculate the remainder when 39 is divided by x*5*(64/20 + -3).
7
Suppose -2*c + 58 = -0*c. What is the remainder when c is divided by (-6 - 0)/(((-42)/7)/6)?
5
What is the remainder when 1047 is divided by (-600)/48*-1*2?
22
Let a(n) be the second derivative of -1/20*n**5 + 0 - 5/3*n**3 + 11/12*n**4 + 4*n - 3/2*n**2. What is the remainder when a(9) is divided by 24?
21
Let j(z) = -23*z + 21. What is the remainder when 208 is divided by j(0)?
19
Let b = 48 + 136. What is the remainder when b is divided by 59?
7
Let u = -33 - -36. Suppose g = u + 8. Calculate the remainder when 63 is divided by g.
8
Let z = -177 + 96. Let y = z - -130. What is the remainder when y is divided by 26?
23
Suppose 40*r - 1489 - 271 = 0. Let l(y) = -y**2 - 11*y - 9. Let u(n) = -2*n + 5. Let a be u(7). What is the remainder when r is divided by l(a)?
8
Suppose -67 + 337 = 5*o. What is the remainder when o is divided by (31 - -7)/(-3 - -5)?
16
Let z be (-4 + 5 - -26)*-1. Let w = z - -59. What is the remainder when w is divided by 17?
15
Let a = 196 + -169. Calculate the remainder when 64 is divided by a.
10
Suppose 0 = -5*c + 3*t + 960, c - 3*t - 148 - 56 = 0. Suppose -2*x = -4, 0*z + 3*z - c = 3*x. What is the remainder when z is divided by 33?
32
Suppose 5 = 5*b - 20. Let v(l) = -4*l - 2 + 1 + 18 + b*l. What is the remainder when v(-8) is divided by 2?
1
Let u(d) = 55*d. Let y be u(1). Suppose 2*m + 9 = -5*q + y, 2*q + 23 = m. What is the remainder when m is divided by ((-60)/(-8))/(6/4)?
3
Let b be 10/(-15)*30/4. Let g(o) = -o**2 - 4*o + 7. Let x be g(b). Suppose -4*z = x - 70. Calculate the remainder when 31 is divided by z.
14
Let f(t) = 32*t - 47. Calculate the remainder when f(5) is divided by 51.
11
Let t = 236 - -113. Calculate the remainder when t is divided by 94.
67
Let s(d) = d**3 - 5*d**2 - 23*d + 17. Calculate the remainder when s(9) is divided by 24.
14
Suppose 254 = 27*h - 16. What is the remainder when 1637 is divided by h?
7
Let i = 3499 + -1162. Let j be i/(-76) - (-1)/(-4). Let o = -8 - j. Calculate the remainder when o is divided by 12.
11
Let v(i) = i**2 - 48*i - 332. Calculate the remainder when v(-7) is divided by (9 - 10)*(-19)/1.
15
Let x(y) = y - 2. Suppose -2*z = 2*z - 504. Let n = z + -124. Calculate the remainder when n is divided by x(3).
0
Suppose -4*h - 849 = -2209. Let v = -235 + h. Let x(k) = k**3. What is the remainder when v is divided by x(3)?
24
Suppose 75*h - 76*h = -2*y + 63, 0 = 2*h + 10. What is the remainder when 318 is divided by y?
28
Let q = 34 + -32. Calculate the remainder when 119 is divided by q/(-8) - 980/(-16).
58
Suppose -3*b = -2*n + 45, -2*b + 21 = 3*n - 14. Let t(c) = -21*c - 26. What is the remainder when t(-4) is divided by n?
13
Suppose -48*s + 38*s + 300 = 0. Suppose 4*b = 5*b - 10. Calculate the remainder when s is divided by (8/5)/(2/b).
6
Let p(s) = 4*s**2 + 3*s - 42. What is t