p = -12. Suppose 0 = 3*k + 3*i - 4*i - 177, -59 = -k + 5*i. Calculate the remainder when k is divided by (a/4 - (-7 - -10))*10.
4
Let m(n) = n**3 - 8*n**2 - 25*n + 1. Let i be m(10). What is the remainder when -6 + 5 + 5 - i is divided by 29?
24
What is the remainder when -123*(1/6)/((54/48)/(-9)) is divided by 158?
6
Suppose -72 = 261*s - 264*s - 3*y, 4*y - 189 = -7*s. Suppose 0*x - 3*x + 366 = 0. Calculate the remainder when x is divided by s.
29
Suppose -862 = -2*c - 72*m + 75*m, 0 = 3*c + 2*m - 1306. What is the remainder when c is divided by 113?
95
Let b = 148 + -104. Let m = b - -2. Calculate the remainder when m is divided by 21.
4
Suppose -8101 = 36*t - 6092 - 43301. What is the remainder when t is divided by 4?
3
Let n(a) = -2*a**3 - 11*a**2 + 2*a + 4. Suppose 0*u + 348 = 6*u. Let f = -48 + u. Calculate the remainder when n(-6) is divided by f.
8
Suppose -3*f = -46 + 16. Let x = 18442 + -18356. What is the remainder when x is divided by f?
6
Suppose 11*u + 1 = -3*y + 170, -y + 3*u + 83 = 0. Calculate the remainder when 308 is divided by y.
24
Let i(w) be the first derivative of -w**4/2 + 19*w**3 + 19*w**2 - 168*w + 329. Calculate the remainder when i(29) is divided by 34.
25
Let k = 2944 - 2595. Calculate the remainder when k is divided by 125.
99
Suppose -194*d - 416 = -3*z - 198*d, -d = -4*z + 504. Calculate the remainder when 550 is divided by z.
38
Suppose y + y = -3*d + 6, -10 = -5*d + 5*y. Suppose -140 = -n - c, -c + d*c = 3*n - 408. Calculate the remainder when n is divided by 41.
14
Let b = -102 - -131. Suppose 18*c = b*c - 99. What is the remainder when 123 is divided by c?
6
Suppose -4*f + 284 = -0*f. Suppose f*g + 105 = 76*g. What is the remainder when g is divided by 4?
1
Calculate the remainder when 270/105*(-15652)/(-78) is divided by 106.
92
Suppose 57*d + 58*d - 156860 = 0. What is the remainder when d is divided by 105?
104
Let l(t) = -797*t - 21. Let f be l(2). Let r = -1124 - f. What is the remainder when r is divided by 19?
16
Suppose 103*g + 3232 = 107*g - 4*b, 3*g + 5*b = 2360. Calculate the remainder when g is divided by 67.
63
Let p = -10824 - -12759. What is the remainder when p is divided by 958?
19
Let d = -8627 - -9294. Calculate the remainder when d is divided by 85.
72
Let g be (12/16)/(9/(-24)). Let a(z) = -15*z - 26. What is the remainder when a(g) is divided by 4?
0
Suppose -3*x + 0*x + 3424 = 5*q, -1145 = -x + 2*q. What is the remainder when x is divided by 33?
21
Let c(w) = 9*w**2 - 139*w - 1751. Calculate the remainder when c(-18) is divided by 102.
97
Suppose -4*p + 1 = 1761*g - 1762*g, 3*g = -2*p + 81. Calculate the remainder when 342 is divided by g.
20
Suppose 139*k - 151*k = -1656. What is the remainder when k is divided by -2 + -2 - 88/(-4)?
12
Suppose 0 = 86*i + 95*i - 47784. Calculate the remainder when i is divided by 8.
0
Let p = -2627 + 2856. What is the remainder when p is divided by 11?
9
Let g(p) = 3*p**3 + 6*p**2 - 6*p. Let b be g(-5). Let y = -143 - b. Calculate the remainder when y is divided by 5.
2
Let j(g) = 27*g**3 - 1. Let y be j(1). Suppose -5*i + y = 2*r - 64, -3*r = -15. Calculate the remainder when 810/48 - (-2)/i is divided by 9.
8
Suppose 5*t + 0*h - 493 = -2*h, t - 101 = -h. Suppose -69 - 162 = -7*n. Calculate the remainder when t is divided by n.
31
Suppose 1078 = 4*p - 5*h, 6*h - h = -10. Calculate the remainder when p is divided by 68.
63
Let r be (145/(-3))/(20/(-60)). Let d = r + -139. Calculate the remainder when 59 is divided by d.
5
Let s(y) = -y**3 - 5*y**2 + 9*y + 10. Suppose -5*j = -683 - 1527. Suppose c - 2*a + 356 = 5*c, 5*c = -a + j. What is the remainder when c is divided by s(-7)?
43
Suppose 0 = -21*z + 38 + 67. Suppose -z*d + 269 - 24 = 0. Calculate the remainder when d is divided by 13.
10
Let m be (-9)/((-2 + (-28)/(-16))*-4). Let a be m/(-24) - (-54)/(-16). Let r(o) = -8*o - 7. What is the remainder when 29 is divided by r(a)?
12
Suppose 0 = 1082*d - 1064*d - 139464. What is the remainder when d is divided by 62?
60
Suppose -466 = -4*w + 3*t, -26*t - 502 = -4*w - 29*t. Calculate the remainder when w is divided by 60.
1
Let v = 112 + -87. Suppose 18 + 0 = 2*o. Suppose 3*r = -o*r + 108. What is the remainder when v is divided by r?
7
Let x(c) = 79*c. What is the remainder when x(1) is divided by (236/177)/((-1)/(-15))?
19
Suppose -3*r = 5*o - 3628, -8*o + 7*o + 3620 = 3*r. What is the remainder when r is divided by 21?
9
Let s(x) = x**2 - 14*x + 40. Let i be s(5). What is the remainder when 235 is divided by (-120)/(-4) + 9 + i?
31
Let f = 2636 + -2525. Calculate the remainder when 995 is divided by f.
107
Calculate the remainder when 228 is divided by 74 + (-6)/(-4)*(-5 + 3).
15
Suppose 2999*d - 3132 = 2981*d. Let z(o) = -o**3 + 6*o**2 + o - 3. Let i be z(6). What is the remainder when d is divided by 47 + 9/(0 - i)?
42
Let m(k) = 3*k**2 - 11*k - 5. Let s be m(5). Let z be 2/(-10) + 3/s*-9. Calculate the remainder when (-11)/(-1) + -1*z/1 is divided by 7.
6
What is the remainder when 983 is divided by (46/8*1 + -1)/(19/76)?
14
Let d(f) = -2*f**2 + 104*f + 1015. Calculate the remainder when d(0) is divided by 93.
85
Let a(k) = -139*k - 1618. Calculate the remainder when 117 is divided by a(-12).
17
Let t = -1418 + 1735. What is the remainder when t is divided by 11?
9
Let n be 10*5/(-30)*-3. Suppose -5*d = -n*p - 450, -5*d = p - 3*p - 438. What is the remainder when d is divided by 47?
39
Suppose 5*d - 175 = -a, 5*d - a = 103 + 82. Let i = 292 - d. Calculate the remainder when i is divided by 65.
61
Let u = -337 + 389. What is the remainder when 181 is divided by u?
25
Let i be 1*(-384)/2 - (5 - 5). Let t = -149 - i. Let r(a) = 2*a**2 - 3*a - 3. What is the remainder when t is divided by r(-2)?
10
Suppose 0 = -z - 22 + 36. Suppose 2*j - 5*d - 61 = -0*j, 11 = j + 4*d. Suppose 10*y = 17 + j. Calculate the remainder when z is divided by y.
2
Let q = -1136 + 401. Let j be q/(-6)*8/10. Suppose 10*g - j = 3*g. What is the remainder when 82 is divided by g?
12
Let w(o) = 6*o**2 + 17*o + 5. Let r be w(-4). What is the remainder when 129 is divided by r/((81/3)/9)?
8
Let t(g) = 55*g**2 - 20*g. Let d be t(2). Calculate the remainder when (2/(-10) - 54/d)*-20 is divided by 7.
3
Let f(x) = -2*x**3 - 4*x**2 - 2*x - 2. Let g be (36/16 + (-1)/4)*-5. Calculate the remainder when (-1284)/(-30) + g/(-50) is divided by f(-3).
21
Let s be 45/(-25) - 2/10. Let i(y) be the second derivative of -13*y**3/6 - 17*y**2/2 - 70*y. What is the remainder when 23 is divided by i(s)?
5
Suppose l + 21 = 2*f, 5*f - 45 = 6*l - 5*l. Suppose 16*a - 248 = f*a. Calculate the remainder when a is divided by 12.
7
Suppose -2*o - 2*w + 1605 = -557, -5*w - 4324 = -4*o. Suppose j - 148 = -o. What is the remainder when (-2)/(-8) - (j/12 - 2) is divided by 32?
16
Suppose -1545*l - 45 = -1550*l. What is the remainder when -3*52*2/(-6) is divided by l?
7
Let y = 331 - 326. Suppose 2*g = 4*h + 378, -y*g = -2*h - 259 - 694. What is the remainder when g is divided by 49?
44
Let q(l) = -l**2 + 10*l - 10. Suppose -7*f = -17*f + 50. Suppose m + 2*m = -6, -f*z - 4*m = -27. Calculate the remainder when q(7) is divided by z.
4
Calculate the remainder when 9070 is divided by (-105 + 0)*((-2196)/45 + 48).
82
What is the remainder when 809 is divided by (-5)/7*(-217 + -112)?
104
Let c(p) = -p**3 + 10*p**2 - 17*p - 13. Let a be (-1 + -5)/2 - -4. Let u = 7 - a. Calculate the remainder when c(5) is divided by u.
3
Suppose -4151 = 178*c - 998*c + 21269. What is the remainder when -5*(1 + (-63)/5) is divided by c?
27
Let f = -4708 + 4893. What is the remainder when 492 is divided by f?
122
Let i(m) = -58*m**2 - 2 - 1 + 18*m + 57*m**2 + 1. Let n be i(17). Let k = n - 10. Calculate the remainder when k is divided by 4.
1
Suppose 4*p - 3*p - 92 = -z, p - 374 = -4*z. Calculate the remainder when z is divided by (14/21)/(4/102).
9
Let n(d) = d. Let m be n(4). Suppose 3*c = m*c - 19. Suppose -45*q - 456256 = -456436. Calculate the remainder when c is divided by q.
3
Let s be (-12)/(-9)*(-18)/(-4). Suppose 0 = -6*b + 9*b - s. Suppose -4*g + 32 = 3*r - 8*r, 0 = -b*g + 3*r + 14. Calculate the remainder when 36 is divided by g.
10
Suppose -6*a = -3*a - 9. Suppose a*l - 12 = w, 0*w - 2*w = -2*l + 8. Suppose -2*r + 41 + 227 