et p be 6*((-4)/m + 6/28). Suppose -p*j + 51 = -6. Calculate the remainder when j is divided by 7.
5
Let c = 1146 - 684. Suppose 4*x = h + 596, -5*x + 283 = 2*h - c. Calculate the remainder when x is divided by 39.
32
Suppose s + 3*s = -2*d + 348, 0 = -4*s + 5*d + 348. What is the remainder when s is divided by 9/90*10*9?
6
Let n(m) = 1. Let v(z) = 1. Let i(a) = -3*n(a) + 4*v(a). Let q(k) = 9*k - 45. Let p(g) = -54*i(g) - q(g). What is the remainder when 222 is divided by p(-6)?
42
Let k(r) = r**3 + 23*r**2 + 78*r - 27. Calculate the remainder when 6697 is divided by k(-5).
31
Let n(h) = h**3 - 2*h**2 - 13*h - 6. Let k be n(5). Suppose -3*i = i - 592. Calculate the remainder when i is divided by 10/k + 1/(-2) - -28.
28
Suppose -5*c + 2*c + 57 = 0. Let p be (5 - (1 + 4))/(3 - 5). Suppose -x - 4*w + 65 = p, -x - w + 69 = w. What is the remainder when x is divided by c?
16
Suppose 3*q + 2*x - 931 = 0, 3*q - 4*x - 110 = 845. What is the remainder when q is divided by 149?
15
Let l(n) = -44*n**2 + 3*n**3 + 0*n**3 - 3*n**3 + 135 - 87*n + n**3 - 95. Calculate the remainder when l(46) is divided by 34.
32
Let n(r) = 104*r + 38. Let p be n(2). Suppose 313 + p = 13*x. What is the remainder when x is divided by 17?
9
Let l = -562 + 564. Suppose -2*j = -5*v + 3916, -v + l*j = 2*v - 2352. What is the remainder when v is divided by 9?
8
Let i(n) be the second derivative of -n**5/20 - n**4/3 + 4*n**3/3 + 9*n**2 - 246*n. Calculate the remainder when 142 is divided by i(-5).
1
Suppose -3 = 3*w - 180. Let h = 527 + -451. Suppose -4*o - h = -5*j - 8*o, j - 2*o = 18. What is the remainder when w is divided by j?
11
Let d = 28 - -21. Suppose 0 = 51*u - d*u - 8. What is the remainder when 136 is divided by (-1 - -51) + (-3 - (u - 3))?
44
Let w be 2/4 - 2/4. Suppose 2*b + a - 14 = 0, -2*b + 1 + 1 = -2*a. Suppose w = 5*i - 0*z - 2*z - 18, -b*z = -5. What is the remainder when 19 is divided by i?
3
Let x = -6777 - -7156. What is the remainder when 1134 is divided by x?
376
Let x = 950 + -929. Suppose -5*a + 2*c = 6*c - 85, -5*c = -4*a + 109. Suppose -3*t = -12 - a. What is the remainder when x is divided by t?
10
What is the remainder when (-6 - 9 - -16)*(2 - 213)*-2 is divided by 138?
8
Suppose -41 + 59 = 6*y. What is the remainder when 168 is divided by ((-16)/(-2) - -2) + 0 + y?
12
Suppose 8*v = 10*v + 6, 0 = -4*f + 2*v + 154. What is the remainder when 189 is divided by f?
4
Let q(i) = -4*i**3 - 67*i**2 - 46*i + 88. What is the remainder when 193 is divided by q(-16)?
25
Suppose 0 = v - 3*a - 10, -3*v + 5*a + 30 = 6*a. Calculate the remainder when (-43)/((-4)/v*65/52) is divided by 23.
17
Let x(t) = -4*t - 142. Let k be x(-6). Let p = k + 150. Calculate the remainder when p is divided by 12.
8
Let t = 60 + -55. Let z(w) = -w**3 + 6*w**2 - 5*w - 7. Let s be z(t). What is the remainder when ((-756)/8)/s - 2/(-4) is divided by 4?
2
Let t(k) = -15*k**2 + 233*k - 36. What is the remainder when 1258 is divided by t(15)?
82
Suppose -l + 18 = -2*r, -2*l = 3*l - r - 63. Suppose -j + 2*y = -y - 17, l = 3*y. Let w(q) = 2*q**2 - 3*q - 4. What is the remainder when j is divided by w(4)?
13
Let l(f) = -8*f - 128. Let g(b) = -4*b + 56. Let h be g(19). What is the remainder when 94 is divided by l(h)?
30
Suppose -2*l = 2*q - 62, 87 = 3*q - 4*l + l. Let y = q + -22. What is the remainder when 135 is divided by 5/4 + 366/y?
41
Suppose 30*z - 5264 = 38*z. Let y = z - -687. Calculate the remainder when 171 is divided by y.
26
Suppose y + 52 = 70. Calculate the remainder when -18 - -175 - (-4)/2 is divided by y.
15
Let a(i) = -i**2 + 95*i + 1. Calculate the remainder when a(89) is divided by 110.
95
Let b be 1*(-14)/(8/4). Calculate the remainder when (-625)/b - (-16)/(-56) is divided by (625/(-100))/(3/(-12)).
14
Let u = 3807 + -3688. What is the remainder when u is divided by 82?
37
Let q(a) = -a**3 - a**2 + a + 5. Let n be q(0). Let f be n + -6 + -57*1. Let x = -15 - f. What is the remainder when x is divided by 9?
7
Suppose -70*b + 58 = -67*b + c, 3*b - 62 = -2*c. Let t be (1 + -4)/((-3)/71). Let a = t + -18. Calculate the remainder when a is divided by b.
17
Let c be 1510/25 + 6 - 6/(-10). Let w = c + -64. Suppose j - 143 = w*q, q + 556 = 4*j - 3*q. Calculate the remainder when j is divided by 28.
25
Let h(b) = 7*b**2 + 19*b - 2. Let w be h(-3). Suppose w*p + 10 - 310 = 0. Calculate the remainder when p is divided by 40.
35
Suppose -4 + 20 = -f. Let x = f - -25. Calculate the remainder when -59*(4/1 + -5) is divided by x.
5
Let c = -3136 - -3134. Suppose -57 = 4*f + 59. What is the remainder when 128 is divided by 4 - (2 + c) - f?
29
Suppose -3*v - 165 = -99. Let z = -22 - v. Let u = 43 - z. What is the remainder when u is divided by 15?
13
Suppose -4*v + 68 - 12 = 0. Suppose 0 = -3*y - g + 154, 5*y - 3*g + 2*g = 246. Calculate the remainder when 10/y - 638/(-10) is divided by v.
8
Let y = -16 + 18. Suppose y*u = -2*u + 64. Suppose -132 = -3*r - 3*o, 144 = 3*r + 4*o - 7*o. What is the remainder when r is divided by u?
14
Suppose 10*f - 1 = 9*f. Let m = 17 - f. What is the remainder when 76 - (2 - (-8)/(-2)) is divided by m?
14
Calculate the remainder when 15 - (44/4 + -8271) is divided by 4137.
1
Let s = -2 - -4. Suppose 0 = -15*l + 150 + 158 - 218. Suppose 0 = i + s*k - 23, 8*i = l*i - 3*k + 43. What is the remainder when i is divided by 4?
1
Suppose -80 = -3*c - 5*m, -2*c - 3*c + 5*m + 160 = 0. Suppose -5*d - 316 = -2*x, -292 = -8*x + 6*x + d. What is the remainder when x is divided by c?
23
What is the remainder when 30 is divided by 8*(-16 - -17) - -9?
13
Suppose -38*k + 34*k + v + 79 = 0, -17 = -k + 3*v. Calculate the remainder when 262 is divided by k.
2
Let f(u) = u**3 - u. Let l(b) = 15*b**2 + 36*b + 11. Let g(i) = f(i) + l(i). Calculate the remainder when 44 is divided by g(-12).
21
Suppose 557*c + 464 + 211 = 582*c. What is the remainder when 177 is divided by c?
15
Let u = 28959 + -28955. What is the remainder when (28/(-10))/((-3)/60) is divided by u?
0
Let u(f) = -f**3 + 46*f**2 - 153*f - 174. Calculate the remainder when u(42) is divided by 14.
8
Suppose 13*z - 10*z + 9720 = 75*z. What is the remainder when 1345 is divided by z?
130
Suppose -4*z + 132 = -3*b - 107, 0 = 4*z + 3*b - 209. Let o(p) = 20*p**2 - 2*p + 1. Suppose -9*a = -14*a + 5. Calculate the remainder when z is divided by o(a).
18
Let p = -90 + 90. Suppose p = 8*t - 11*t + 87. Suppose t*w - 37*w + 80 = 0. Calculate the remainder when 30 is divided by w.
0
Suppose 5*x + 4*k - 1332 - 234 = 0, 1 = -k. Calculate the remainder when x is divided by 58.
24
Let i be 0 - (-4 + 4 - 2). Suppose -i*x + 4*t = -62, 7*x + 4*t = 2*x + 113. Suppose 0 = -0*d + 8*d - 112. What is the remainder when x is divided by d?
11
Let z(h) = -h**3 + h - 31. Let o be z(0). Let a(w) = -w**3 + 6*w**2 + 7*w - 8. Let p be a(6). Let u = p + o. Calculate the remainder when 28 is divided by u.
1
Suppose 15*q - 19*q = -4, -n + q = -897. Suppose -4*a = -2*u + n - 206, -347 = -u + 3*a. Calculate the remainder when u is divided by 88.
80
Let m(l) = l**2 - 53*l + 762. What is the remainder when 1341 is divided by m(43)?
13
Let b be (-2 + 39)*(-1)/(-1). Let f = -27 + b. Let j = -130 - -133. Calculate the remainder when f is divided by j.
1
Let b(a) = 102*a - 288. Calculate the remainder when b(3) is divided by 10.
8
Calculate the remainder when 535 is divided by (24/(3528/245))/((-20)/(-18) + -1).
10
Suppose -8*x + 2848 = 8*x. Let a = x - 157. Suppose 4*j = 4*n - 212, 5*n - 2*n + 4*j - 187 = 0. What is the remainder when n is divided by a?
15
Let a be (-882)/(-4)*68/51 - -1. Let w = -158 + a. Calculate the remainder when w is divided by 20.
17
Suppose -53 = -5*z + 402. Suppose -3*u = 5*s - 868, 3*s - 11*u + 484 = 6*s. Calculate the remainder when s is divided by z.
85
Suppose -3*w + 6 = -57. Let r be (-2 + (-12)/9)/((-2)/3). Suppose -186 = -0*a - 3*a - r*g, -a - g = -62. Calculate the remainder when a is divided by w.
20
Let p be (-2*9/42)/((-12)/84). Suppose -3*b + 27 = p*c - 36, -77 = -3*c + 4*b. Calculate the remainder when c is divided by 7.
2
Let c = 52 - 27. Suppose 4*t = -6*t + 130. Suppose 0 = -6*d - t + 91. What is the remainder when c is divided by d?
12
Suppose 6*p = -720 + 7704. Calculate the remainder when p/20 + 1/(-5) is divid