when 69 is divided by w.
9
Let r(p) = 61*p + 68. What is the remainder when r(9) is divided by 62?
59
Let y be (1 + -4)*142/(-3). Suppose 0 = -8*s + 394 + y. Let n = 49 + -35. What is the remainder when s is divided by n?
11
Suppose 5*b + 5*i = 45, -17 = -0*b - 2*b - i. Let d(y) = 7*y**2. What is the remainder when d(2) is divided by b?
4
Let d = -4 + 23. Let s(o) = 8*o**2 + o + 2. Let q be s(-2). Let b = 23 + q. What is the remainder when b is divided by d?
17
Suppose 14*d - 102 = 80. Suppose p + d*p = 826. What is the remainder when p is divided by 30?
29
What is the remainder when 125 is divided by (-8)/(-40)*25 + 7?
5
Let w(x) = 1. Let r(o) = 2*o + 3. Let c(a) = r(a) + 3*w(a). Calculate the remainder when 38 is divided by c(2).
8
Suppose 47*x + 29 = 2*i + 44*x, -4*x = -5*i + 69. Suppose -7*r = -2*r - 4*k - 176, 4*r - 146 = -2*k. Calculate the remainder when r is divided by i.
10
Let p = -8 - -10. Let u = p - 3. What is the remainder when (14*1)/(u/(-2)) is divided by 15?
13
Let y be 4/5 + 1918/105*-3. Let g = 61 + y. Calculate the remainder when 20 is divided by g.
6
Let z = -4 + 4. Suppose 4*m = u - 8, z = -u - 2*m - 2*m. Suppose -3 = u*l - 91. What is the remainder when l is divided by 6?
4
Let m = -558 + 584. Suppose -k - 3*r = -6 - 3, -4*k + 36 = r. Calculate the remainder when m is divided by k.
8
Let p(s) = -s**2 - 8*s - 4. Let v be p(-7). Suppose 2*m - j = -53, v*m - 21 + 102 = 3*j. Let h = m + 37. Calculate the remainder when h is divided by 3.
2
Let b(n) = n**2 - 35*n + 318. Let y = -28 - -75. What is the remainder when y is divided by b(17)?
11
Let v = -24 - -24. Suppose 15 = 3*l - 3*y - 150, v = 3*l + y - 157. Calculate the remainder when l is divided by 11.
9
What is the remainder when -6 + 12/(-4)*-16 is divided by 8?
2
Let q(g) = -g**3 + 4*g**2 - 3. Calculate the remainder when (-55*10/(-125))/(1/5) is divided by q(3).
4
Suppose -37278 = -1929*q + 1911*q. What is the remainder when q is divided by 83?
79
Suppose -1316 = -4*v - 2*l, 5*v + 10 = -2*l + 1655. What is the remainder when v is divided by 67?
61
Suppose 2*b + d = 3*b - 105, -d + 555 = 5*b. Suppose 5*u = -0*u - 2*k + 132, 0 = 5*k + 20. What is the remainder when b is divided by u?
26
Suppose 2*m - 50 = -2*x - 8, 4*m = 3*x + 112. Calculate the remainder when 109 is divided by m.
9
Suppose -4*t + 2061 = 3*c, -2*t + 6*c - 7*c + 1033 = 0. What is the remainder when t is divided by 52?
51
Let b = 198 - 140. Let z(n) = n**3 + 8*n**2 - 6*n - 1. Let d be z(-7). Suppose -4*k - 30 + d = 0. What is the remainder when b is divided by k?
13
Let g(y) = y**2 + y - 1 - y**2 + 12*y**3. Let q(c) = -5*c**3 - 24*c**2 - 2*c - 14. Calculate the remainder when q(-5) is divided by g(1).
9
Let z(d) = -d**3 + 8*d**2 + 12*d - 3. Suppose -2*q + 106 = -5*c, 0*q - q + 3*c + 54 = 0. Calculate the remainder when z(8) is divided by q.
45
Suppose 391 = -5*s - p + 29, p - 3 = 0. Suppose v + 150 = -2*v. Let x = v - s. Calculate the remainder when x is divided by 9.
5
Let a(p) = -2 + 2 + 1 + p + 5. Let z be a(-6). Suppose -3*v + 9 + z = 0. Calculate the remainder when v is divided by 1.
0
Suppose 0 = 13*r - 136 - 2061. Calculate the remainder when r is divided by 10.
9
Suppose 0 = 16*x - 173 - 675. What is the remainder when 265 is divided by x?
0
Let q be -6*9/((-108)/8). Suppose q*n - 102 = 2*k + 166, 4*n + k - 262 = 0. What is the remainder when n is divided by 24?
18
Let j(v) = -17*v - 2. What is the remainder when j(-1) is divided by 4?
3
Let r = -203 + 216. Calculate the remainder when 34 is divided by r.
8
Let q(a) = 2*a - 3. Suppose 0*i = -i - 1, i - 3 = -4*m. Calculate the remainder when -8*(-2 - (1 - (m + 1))) is divided by q(3).
2
Let v = -201 + 207. Calculate the remainder when 27 is divided by v.
3
Let h(x) be the third derivative of x**6/24 + x**3/6 - x**2. Let j = 45 - 44. Calculate the remainder when h(j) is divided by 2.
0
Let z be (-88)/3 - -1 - (-14)/(-21). Let i = 37 + z. Suppose -4*k + 3 = -49. Calculate the remainder when k is divided by i.
5
Suppose -5*y + 5*n - 14 + 174 = 0, -y + 2*n + 37 = 0. Let k = y - 15. Calculate the remainder when 58 is divided by k.
10
Suppose 0 = 2*d + 5*r + 72, d + 2*r = -r - 35. Let o = d - -60. Suppose -3*k - 3*m = -4*m - 15, -3*k = 5*m - 15. What is the remainder when o is divided by k?
4
Let l(b) = -8*b**3 - 45*b**2 + 17*b + 50. Let x = -25 - -41. Calculate the remainder when l(-6) is divided by x.
8
Suppose -1474 = -18*g + 7*g. What is the remainder when g is divided by 43?
5
Let b = -1055 - -1076. What is the remainder when 125 is divided by b?
20
Suppose 0*h = 6*h - 114. Calculate the remainder when 58 is divided by h.
1
Let u = 920 - 910. Calculate the remainder when 17 is divided by u.
7
Let p = -597 + 639. Calculate the remainder when 81 is divided by p.
39
Suppose 0 = -4*f - 2 - 6. Let x be 15 - ((0 - f) + -4). Let d = x + -11. What is the remainder when 21 is divided by d?
3
Let x be -28 + (-5 + 1)/(-2 - 0). Let a = 3 - x. Calculate the remainder when a is divided by 11.
7
Let g(s) be the second derivative of -s**3/6 + 17*s**2/2 - 10*s. What is the remainder when g(11) is divided by 1?
0
Let q(n) = -n**3 - 7*n**2 - 15*n + 1. Let y = -60 - -55. What is the remainder when 47 is divided by q(y)?
21
Let f be -2 - -30 - (-1)/1. Let r(d) = -3*d - 33. Let s be r(-25). Let k = s - f. What is the remainder when 51 is divided by k?
12
Let n = 428 + -407. What is the remainder when 138 is divided by n?
12
Let p = 3 + 2. Suppose 4*i - 34 = -3*a + 5*a, 0 = -p*i - 5*a + 80. Suppose -d = -6 - 0. What is the remainder when i is divided by d?
5
Let b(f) = f**3 + 9*f**2 + 4. Let s be b(-9). Suppose s*y - 45 = 39. Calculate the remainder when y is divided by (-4)/(-10) + 114/15.
5
Suppose 38 = -h + 6*h + 4*w, h + w - 8 = 0. Suppose -4*l + 2*z + 396 = h*z, 5*z + 360 = 4*l. Calculate the remainder when l is divided by (0 - -25) + (1 - 2).
23
Let i = -2 - -1. Let f = 3 + i. Suppose 26*w + 18 = 29*w. What is the remainder when w is divided by f?
0
Let b(s) = -3*s**2 + 10 - s**3 - 11 + 4*s**2. Let n = 66 + -45. What is the remainder when n is divided by b(-2)?
10
Let s(n) be the first derivative of n**3/3 + 7*n**2/2 - 5*n - 3. Let l be s(-9). Suppose 0*a - l = -a. What is the remainder when 21 is divided by a?
8
Suppose -5*c - 2*c + 21 = 0. Suppose -5*o - 2*w = 2*w - 46, 0 = o - c*w + 6. What is the remainder when 17 is divided by o?
5
Suppose -3*q = -5*q - 10, -3*q = -o + 29. Calculate the remainder when 221 is divided by o.
11
Let o = 86 - -27. Suppose -2*i = 2*m - 84, 4*m = i - 2*i + 156. What is the remainder when o is divided by m?
37
Let a = 1869 + -1845. Calculate the remainder when 310 is divided by a.
22
Suppose 2*o = -5*h + 23, 3*h + 24 + 111 = 5*o. Calculate the remainder when 131 is divided by o.
11
Let f = 709 - 270. What is the remainder when f is divided by 65?
49
Suppose 3*b - 228 = -3*k + 129, 5*k - 4*b - 622 = 0. Calculate the remainder when k is divided by 31.
29
Let t = -15 + 51. Suppose 6*x = 83 - 23. What is the remainder when t is divided by x?
6
Let p(k) = -k**2 - 5*k - 4. Let d be p(-4). Suppose 2*t + 4*w + 4 = d, -2*t + 2*w - 3 - 1 = 0. Calculate the remainder when 7 is divided by (-2)/(t/(-10)*-2).
2
Let i be (-8)/10*30/(-12). Suppose -i*j + 22 = -0*j. Suppose -4*f - j = -107. Calculate the remainder when 93 is divided by f.
21
Let l be 1 - 4/8*-2. Suppose l*w + 2*w - 20 = 0. Suppose -a = u - 6, w*u + 17 = 3*a - 17. What is the remainder when 28 is divided by a?
4
Let s be (-7)/(-2) - (-5)/10. Calculate the remainder when 22 is divided by (s/((-4)/3))/(5/(-15)).
4
Suppose -5*i = -b - 78, b - 55 = -3*i - 13. Suppose -16 = 4*j - 112. What is the remainder when j is divided by i?
9
Let d = -12 - -27. Let q = 35 - 28. Suppose 236 = q*c - 3*c. Calculate the remainder when c is divided by d.
14
Suppose -20*n - 309 = -23*n. Calculate the remainder when n is divided by 37.
29
What is the remainder when 87 is divided by 1*(-5)/30 - (-271)/6?
42
Suppose 213 = 47*m - 44*m. Calculate the remainder when m is divided by 18.
17
What is the remainder when (-1)/(2/((-448)/8)) is divided by 7?
0
What is the remainder when (119 + -8 + 3)/2 is divided by 15?
12
Let q = -40 + 24. Let p = q + 26. Suppose 2*a + 3*v - p - 8 = 0, a + 2*v = 9. Calculate the re