. What is the remainder when r is divided by 66?
56
What is the remainder when 459 is divided by ((-423)/705)/(0 - 1/35)?
18
Suppose -2*g - g = -b + 10, 3*g = -4*b + 85. Let i = -71 + 59. Let k = i + 22. What is the remainder when b is divided by k?
9
Suppose -13 = i - 15. Suppose -2*t = t + 3*r - 33, 43 = i*t - 5*r. What is the remainder when 82 is divided by t?
12
Let x = 527 + -486. What is the remainder when 15 - 14 - (-238)/2 is divided by x?
38
Let h(z) be the third derivative of z**4/6 - 4*z**3/3 - 4*z**2. What is the remainder when h(14) is divided by 17?
14
Let n(b) = b**3 - 6*b**2 + 4*b + 2. Let k be n(2). Let m(l) = -89*l - 470. Calculate the remainder when m(k) is divided by 13.
12
Let x = 17 + 44. Suppose -3*o - 3*s + 51 = 0, -4*s - 95 - 101 = -8*o. Calculate the remainder when x is divided by o.
17
Let s = 5813 + -5662. Calculate the remainder when 301 is divided by s.
150
Let y(i) = -i**2 + 106*i + 340. What is the remainder when y(42) is divided by 64?
20
Let t = 6607 - 6588. Calculate the remainder when 9649 is divided by t.
16
Suppose 2*n + 2539 = x, -4*x - 158*n + 161*n + 10201 = 0. Calculate the remainder when x is divided by 45.
37
Let r = 8130 - 7941. Calculate the remainder when 619 is divided by r.
52
Suppose -i = -28 + 2. Let w be -1 - (13/i)/((-1)/14). Let a(m) = 29*m - 29. What is the remainder when a(w) is divided by 37?
34
Suppose 0 = 2*y - y - 13. What is the remainder when 27/2 + (-792)/(-144) is divided by y?
6
What is the remainder when 2068 is divided by (-14 - 1)/((6/(-30))/(44/165))?
8
Let z be 1/(-1) - (-7 + 4). Let h(d) = -17*d**2 - 17 + 0*d - 9 + 37*d**z - 7*d + d**3. Calculate the remainder when h(-20) is divided by 39.
36
Suppose -22*h + 88884 = 12*h + 20*h. Calculate the remainder when h is divided by 17.
14
Let a(r) = -3*r**2 + 62*r - 55. Let q(f) = 3*f. Let k(v) = -a(v) + 3*q(v). Let g = 5 - -1. Calculate the remainder when k(17) is divided by g.
3
Let y be 1/(-3) + (1 - (-8)/6). Suppose -h - 3*h + 6 = y*u, -4*u - 8 = -2*h. Suppose w - 3*w = -4. What is the remainder when w is divided by h?
0
Let o = -34 + 33. Let i be (8 - (5 - 1)) + 1 + o. Suppose 0 = -i*a - 0*a - 4*f + 48, -20 = -4*f. Calculate the remainder when 12 is divided by a.
5
What is the remainder when 433 is divided by (-82)/(-3)*621/414?
23
Suppose 0 = 5*b - 6*b + 3. Suppose b*v + 9 = 3*m, 3*v - 33 = m - 4*m. Suppose 7*o - 439 - 37 = 0. Calculate the remainder when o is divided by m.
5
Suppose 5*c = -u + 283 + 40, -4*c = 8. Calculate the remainder when ((-16)/(-12))/(-2)*u/(-2) is divided by 16.
15
Suppose -1470 = -5*y - 4*n, 0 = 159*y - 162*y - n + 882. Calculate the remainder when y is divided by 103.
88
Suppose 4*k - 86 = -5*a, -2*a + 17 = 2*k - 17. Suppose j = 2*z + a, -j = -3*j + 5*z + 37. What is the remainder when 107 is divided by j?
11
Let v(l) = -l + 152. What is the remainder when v(15) is divided by 97?
40
Suppose 239 + 489 = 26*m. Calculate the remainder when 100 is divided by m.
16
Suppose -87 = -a - 34. Let i = 46 - a. Calculate the remainder when 18 is divided by i*((-6)/4 - (-9)/18).
4
Let m(y) = -17*y - 52. Let h be m(-4). Suppose 0 = 2*g + h*g - 324. What is the remainder when g is divided by 3?
0
Suppose -107*t - 213 = -3*z - 110*t, -z = -2*t - 50. Calculate the remainder when 755 is divided by z.
51
Let x be 9 - 432/45 - (-34)/(-10). What is the remainder when (3 - 16/(-6))*(-48)/x is divided by 40?
28
Let u(m) be the third derivative of -m**6/120 + m**5/15 + 5*m**4/24 + m**3 + 5*m**2 - 4. Let l = 26 - 11. Calculate the remainder when l is divided by u(5).
3
Suppose 0 = -2*j - 0*j + 166. Suppose -66*g - 312*g + 5292 = 0. What is the remainder when j is divided by g?
13
Suppose -3*n = -4*u + 103 + 14, 9 = 3*u. What is the remainder when 63 is divided by (9 + 483/n)/(3/(-10))?
15
Let i(f) = f**3 - 3*f**2 - 5*f + 7. Let v be i(4). Suppose 0 = -4*j + v*j + 17. What is the remainder when 46 is divided by j?
12
Let y = 9041 + -9030. What is the remainder when 28 is divided by y?
6
Let m = 0 - -6. Suppose -4*l = -m*l - 2. What is the remainder when 44 is divided by ((-2)/3)/(l/18)?
8
Let z(a) = 5*a + 4*a - 12 - 12*a. Suppose 5 + 2 = -f. Calculate the remainder when 33 is divided by z(f).
6
Suppose -4*b + 13 = -g, -6*b - g + 23 = -b. Calculate the remainder when (-240)/(-96) + (-246)/(-4) is divided by b.
0
Calculate the remainder when 8 - 2 - (699/(-4) + (-2)/8) is divided by 2.
1
Suppose -10*f + 8 = -6*f. Suppose f*r + 0*o + 39 = -o, 4*r + 82 = 2*o. What is the remainder when (r/10)/((-1)/81) is divided by 33?
30
Suppose 3*u - 15 = 0, 111*o - 110*o - 31 = 3*u. Suppose 0 = 2*g + h - 22, -8 = h + h. What is the remainder when o is divided by g?
7
Let x = 83 - 78. Suppose g + 7 = x. Let c = g - -139. What is the remainder when c is divided by 47?
43
Suppose h = -2*s - 36, 2*h - 4*h - s = 72. Let v be (-4)/h - (-4371)/27. Suppose v = 21*t - 27. What is the remainder when 33 is divided by t?
6
Let o(x) = -x**3 + 38*x**2 + 108*x - 2679. Let i(m) = m**2 - 3*m + 2. Let q be i(6). Suppose -3*r + 46 = -q. Calculate the remainder when r is divided by o(39).
10
Suppose 0 = 3*g + 4*c - 38, 2*g - 30 = -4*c + 2. Let o be ((-4)/(-10))/(-2 + 804/400). Suppose 2*p = -g*p + o. What is the remainder when 12 is divided by p?
2
Let a = -32066 - -32538. What is the remainder when 1063 is divided by a?
119
Let a be ((-39)/(-91))/(2/14). Suppose 0 = -a*w - 0*w + 72. What is the remainder when w is divided by (-13)/(-26) + (-34)/(-4)?
6
Let s(t) = 24*t**2 - 80*t - 78. Calculate the remainder when 109 is divided by s(-1).
5
Let t = -413 + 583. Suppose 2*j = 5*v + 7*j - t, -3*j + 30 = v. Suppose 5*h + 5*h = 140. What is the remainder when v is divided by h?
8
Suppose -9*z - c - 8 = -10*z, -2*z = 4*c + 14. Suppose -u - z*m = -6, -m - 11 - 22 = -2*u. Calculate the remainder when 25 is divided by u.
10
Let m = -18407 + 19446. Calculate the remainder when m is divided by 41.
14
Suppose 0 = 2*i - 16*i + 1512. Calculate the remainder when 213 is divided by i/(-10)*(16 - 21).
51
Let n(z) = 3*z**2 + 277*z + 1216. Calculate the remainder when n(-88) is divided by 20.
12
Let p(c) = 205*c**2 - 5*c - 3. Let s be p(-2). Suppose 13*r - 369 = s. What is the remainder when r is divided by 32?
28
Suppose 335 = 2*f - x, -4*f + 676 = x + 3*x. Let d = 239 - f. What is the remainder when d is divided by 30*(108/(-30))/(-3)?
35
Let l(i) = 7*i**2 + 76*i - 52. Calculate the remainder when l(-14) is divided by 87.
82
Let u be (3/((-18)/(-4)))/((-82)/(-246)). Suppose 5*n = j + 114, 0 = -u*n + 5*j + 18 + 46. What is the remainder when 84 is divided by n?
18
Let h = 28360 + -20614. Calculate the remainder when h is divided by 149.
147
Let v(r) = 1745*r - 521. Calculate the remainder when v(2) is divided by 15.
14
Let s = -26 - -30. Let z(h) = -h**3 + 5*h**2 - 3*h + 5. Let i be z(s). Suppose 69 = 3*k + i. Calculate the remainder when 77 is divided by k.
17
Let c = -2790 + 2817. Calculate the remainder when 94 is divided by c.
13
Let l(i) = -154*i - 77. Let b be l(-29). Suppose -b - 471 = -12*s. What is the remainder when s is divided by 68?
65
Let f(b) = 62*b - 4. Suppose 2*j - 6 = 5*d, -5*j = 4*d + 6 - 21. Let p(h) = h**3 - h + 1. Let n be p(d). Calculate the remainder when f(n) is divided by 23.
12
Let p(n) = n + 8. Suppose 1170 = 3*q - 4890. What is the remainder when (q/60)/(2/6) is divided by p(7)?
11
Let k be -3 - (-5664)/45 - 2/(-15). Let p = k + -58. Calculate the remainder when p is divided by 2/(-5) - 87/(-5).
14
Let z = -90 - -110. Suppose z = q + 11. What is the remainder when 34 is divided by q?
7
Let v = 1565 - 1286. What is the remainder when v is divided by 51?
24
Suppose -5*n + 1023 = -2*n. Let l = -224 + n. Calculate the remainder when l is divided by 25.
17
Suppose -15*y + 10*y + 3*j = -571, 2*j = 4*y - 454. What is the remainder when y is divided by 26?
6
Let r = -648 - -652. Suppose -9 = -r*f + f - n, 3*f - 5*n = 27. What is the remainder when 33 is divided by f?
1
Suppose 0 = -5*u - 8*i + 3*i + 1525, -2*u + 4*i = -622. What is the remainder when u is divided by 45?
37
Suppose -39810*t = -39833*t + 2714. Calculate the remainder when 667 is divided by t.
77
Let j(b) = -b**3 - 6*b**2 - 5*b. Let x be j(-5). Suppose 3*i - 21*i + 5346 = 0. Suppose 4*u - 131