ate the remainder when (1*-3)/((-166)/53950) is divided by 58.
47
Let l = -1246 + 426. What is the remainder when ((-105)/25 + 5)/((-4)/l) is divided by 11?
10
Let c(m) = 106*m**2 + 100*m - 556. What is the remainder when c(5) is divided by 26?
20
Suppose -1245 = -3*f - 0*f + 5*a, a = 5*f - 2097. Suppose 4*m = -3*m + f. What is the remainder when 76 is divided by m?
16
Suppose -100803 = -53*t + 904. What is the remainder when t is divided by 12?
11
Let a = 257 + -254. Suppose 4*c = -2*n + 31 + 73, -4*n = a*c - 68. What is the remainder when c is divided by 2?
0
Let k = -8308 - -8328. Calculate the remainder when 1918 is divided by k.
18
Suppose 494 = 11*v - 9*v - 3*j, -v + 5*j = -226. Calculate the remainder when v is divided by 33.
25
Let x = 5800 + -5708. What is the remainder when x is divided by 20?
12
Let f(d) = -21*d**3 + 347*d**2 - 8*d - 177. What is the remainder when f(16) is divided by 280?
271
Let d = 1611 + -1596. What is the remainder when 677 is divided by d?
2
Let b(v) = 2*v. Let r(s) = -s. Let a(n) = b(n) + r(n). Let j(z) = -17. Let t(x) = -6*a(x) + j(x). Calculate the remainder when t(-24) is divided by 16.
15
What is the remainder when 478 is divided by 39/2*(20/50*-5 + 8)?
10
Suppose 0 = 5*i + c - 5859, i = -4*c + 3*c + 1175. What is the remainder when i is divided by 7?
2
Let p(o) = -11*o + 10. Suppose 3*q = -q + 68. What is the remainder when p(-2) is divided by q?
15
Suppose -2*p - 5*a = -a + 166, 0 = -2*p + 3*a - 194. Let v = -53 - p. What is the remainder when 113 is divided by v?
37
Suppose 5*c - 308 = 2*i, 0 = 2*c + i - 130 + 14. What is the remainder when 1798 is divided by c?
58
Let q(t) = t**3 + 21*t**2 - 8*t - 118. Calculate the remainder when 63 is divided by q(-21).
13
Suppose 3*n + 2 = -h + 5, -5*n = 2*h - 5. Calculate the remainder when 489 is divided by 39 + (150/(-24) - n/(-4)).
27
Let t = 609 + -357. Suppose -8*l + 2*l = -t. Suppose 0 = -44*h + 48*h - 88. Calculate the remainder when l is divided by h.
20
Suppose 0 = 15*h - 58*h + 15*h + 2184. Suppose -190 = -5*r + 45. Calculate the remainder when h is divided by r.
31
Suppose -60 + 114 = 6*r. Suppose r*v - 1205 = 181. What is the remainder when v is divided by 20?
14
Let m be -72 + 518 + (-4)/((-2)/1). Suppose 0 = -h - 3*h - g + m, 0 = 5*g + 20. Calculate the remainder when h is divided by 20.
13
Let n be (2/24*4)/((-18)/1998). Let z be -19*(-3 + -2 + 3). Let v = z + n. What is the remainder when 3 is divided by v?
0
Suppose -4*f + 6*f - 4 = 0. Suppose -5*r + f*p + 55 = -166, -4*r = -4*p - 172. What is the remainder when 83 is divided by r?
38
What is the remainder when 6177 is divided by (-281)/(5*12/20*(-10)/30)?
276
Let h = 14122 - 14081. Calculate the remainder when 16192 is divided by h.
38
Let c = -786 + 901. What is the remainder when 1836 is divided by c?
111
Suppose u - 2 = -p, -p = -2*u + 11 + 2. Suppose 2 = -f, -71 = -6*x + u*x - 5*f. Calculate the remainder when x is divided by 12.
9
Let x be ((-228)/(-36))/(2/(-18)). Let r = x - -60. Suppose -5*p - u = -79, -2*p + 83 = r*p + 2*u. What is the remainder when p is divided by 4?
3
Suppose 816 = 21*a + 3*a. Let v(d) = -d**3 + 34*d**2 + d + 31. What is the remainder when v(a) is divided by 17?
14
Suppose 110*t + 3423 = 120*t + 703. What is the remainder when t is divided by 52?
12
Suppose -10*t + 720 = -640. Calculate the remainder when 7070 is divided by t.
134
Calculate the remainder when 336 is divided by (6 + (32/(-8) - -11 - -24))/1.
3
Let y(i) be the first derivative of -i**4/4 + 8*i**3/3 - 3*i**2 + 3*i + 8. What is the remainder when 974/9 + -1 + (-42)/(-54) is divided by y(7)?
8
Let t(o) = -20*o - 64. Suppose 0 = b - 4 + 14. What is the remainder when t(b) is divided by 46?
44
Suppose -c - 111*c + 392875 + 13125 = 0. Calculate the remainder when c is divided by 259.
258
Calculate the remainder when -2*(-4)/(-36) - (-2 - 133815/135) is divided by 204.
177
Let h be 3/2 + (-170)/(-4). Suppose 10 = 3*j - h. Let d = -14 - -19. What is the remainder when j is divided by d?
3
Suppose -31*f + 6298 = 4*m - 28*f, 4743 = 3*m - f. What is the remainder when m is divided by 224?
11
Suppose 5*y - 45 = 2*a - 4*a, -y = -a - 2. Suppose 0 = 15*d - 19*d. Suppose d = -5*o + 89 + 1. Calculate the remainder when o is divided by y.
4
Let a be (0 + (-24)/16)*8/(-3). Suppose u = -k + 2, 0 = -u + 3*u - a*k - 34. What is the remainder when 7/35 - 548/(-10) is divided by u?
6
Let d(x) = 2 + 8*x**2 + 38*x - 1 - 12*x - 21*x. Suppose 16*k - 28 = 68. What is the remainder when d(-2) is divided by k?
5
Let w(s) = -2*s**2 - 22*s + 4. Let q be w(-11). Suppose -3*v + q*v - 3 = 0, 5*u - 5*v + 30 = 0. Let p = 163 - u. What is the remainder when p is divided by 56?
54
Suppose 4*u + 468*r - 149 = 473*r, 0 = 2*u + 2*r - 52. What is the remainder when 1859 is divided by u?
30
Let z be 4/(-18) + 137/9. Let c = 15 - z. Suppose 3*d - 5 - 4 = c. Calculate the remainder when 11 is divided by d.
2
Let d(g) = -3*g + 2. Suppose -7*s + 0*s + 28 = 0. Suppose 52 = -s*w - 4. What is the remainder when d(w) is divided by 17?
10
Let j(t) = 2*t**3 - 9*t**2 - 23*t - 72. Calculate the remainder when 7642 is divided by j(7).
10
Let g(n) = -2*n**3 - 13*n**2 + 5*n + 2. Let x be g(-7). Suppose -a = -x*a + 120. What is the remainder when 30 is divided by a?
6
Suppose 37*c + 446 = 35*c. Let g = -85 - c. What is the remainder when g is divided by 70?
68
Suppose 4*u - 2*r = 314, 0 = 3*u + 250*r - 253*r - 243. Calculate the remainder when 753 is divided by u.
69
Let s(q) = -q**3 + 26*q**2 + 62*q. Calculate the remainder when s(28) is divided by 8.
0
Suppose 399*y - q = 404*y - 4210, 5*y - 2*q - 4210 = 0. What is the remainder when 2538 is divided by y?
12
Suppose -5*l = -3*l - 5*m - 44, 5*l + 4*m - 110 = 0. What is the remainder when 188 is divided by l?
12
Let r = -326 - -326. Suppose r = -16*b + 18 + 142. What is the remainder when 68 is divided by b?
8
Let k be 2/6 - (-30)/(-9). Let r(l) = 30*l**2 - 6*l - 3. What is the remainder when r(k) is divided by 36?
33
Let z(c) be the first derivative of c**4/4 + 7*c**3/3 - 6*c**2 - 17*c - 36. What is the remainder when z(-8) is divided by 7?
1
Suppose -123*a = 36*a - 40151 - 216634. What is the remainder when a is divided by 30?
25
Suppose 4*z - 54 = -g + 10, 5*g + 64 = 4*z. Suppose 11*s = z*s - 410. Suppose 4*r - s + 26 = 4*x, -20 = 5*x. Calculate the remainder when 36 is divided by r.
6
Let h(x) = -21*x - 200. Let b(q) = -23*q - 198. Let a(k) = 7*b(k) - 6*h(k). What is the remainder when a(-13) is divided by 18?
17
Suppose -56*s + 60*s = 112. Suppose 98 = 7*q + s. Suppose -q*h = -7*h - 171. Calculate the remainder when h is divided by 29.
28
Let v = 69 - 66. Let h(b) = 22 - 11*b**2 + 9*b - 3*b**v + 0 + 2*b**3 + 7*b**2. What is the remainder when 5 is divided by h(-5)?
1
Let i = -656 - -1221. Let f = i - 209. What is the remainder when f is divided by 20?
16
Suppose 4*d - 5*x + 59 = 0, -d - x - 8 - 9 = 0. Let g be (45 - 1)*d/(-8). What is the remainder when 105 is divided by (g - -2)*((-60)/(-25) - 2)?
33
Let x(q) = -61*q + 4457. What is the remainder when 3365 is divided by x(70)?
186
Let b(f) = -2*f. Let v = 94 - 104. What is the remainder when b(v) is divided by 7?
6
Let h(a) = -a**2 - 6*a + 8. Suppose -5*v - 18 = -2*v. Let u(x) = x**3 - 9*x**2 - 19*x - 2. What is the remainder when u(11) is divided by h(v)?
7
Let s = 23845 - 23659. Suppose -7 = 4*q - 83. Calculate the remainder when s is divided by q.
15
Let q(b) = 62*b + 942. Calculate the remainder when 131 is divided by q(-14).
57
Suppose o - 179 = -5*p + 56, -4*p + 5*o = -188. Calculate the remainder when 7143 is divided by p.
46
Let r(y) = 9*y**2 - 13*y - 18. Let f be r(10). Suppose 7*s = 3*s + f. Calculate the remainder when s is divided by 63.
62
Let g(z) = 4*z - 1. Let w be g(17). Let f = w - 57. What is the remainder when 37 is divided by f?
7
Let h = 15 - 1. Let a(l) = -18*l - 78. Let w be -2 + (-1 - (-24)/(-6)). Calculate the remainder when a(w) is divided by h.
6
Let c(v) = 1622*v - 8125. Calculate the remainder when c(6) is divided by 314.
37
Let f(t) = -2*t**2 - 34*t + 86. Calculate the remainder when 268 is divided by f(-17).
10
Let w = 63 - 59. Suppose w*n - 81 = 67. Calculate the remainder when 100 is divided by n.
26
Let p = -85 - -90.