 (89 - 2)/(345/575) is divided by 51.
43
Let a = 12575 + -12565. What is the remainder when 437 is divided by a?
7
Suppose 0 = x - 4*k - 68, -3*x + 116 = 2*k - 60. Suppose x*n - 61*n + 32 = 0. Calculate the remainder when 55 is divided by n.
23
Suppose 2*f - 3*h - 398 = 0, 0 = -4*f - f - 4*h + 972. Suppose -120 = -809*a + 803*a. Calculate the remainder when f is divided by a.
16
Let d(j) = 6*j**2 - 11*j - 48. Let a be d(-5). Suppose -158*o + 5 = -a*o. Calculate the remainder when 94 is divided by o.
4
Suppose 327*o = 299*o + 13748. What is the remainder when o is divided by 17?
15
Let x = 12944 - 12806. What is the remainder when 393 is divided by x?
117
Let d = 559 + -399. Let a(m) = -2*m**2 + 41*m - 191. What is the remainder when d is divided by a(8)?
7
Suppose -3 = 17*b - 14*b - 4*p, 3*b + 21 = -2*p. What is the remainder when 25 is divided by b + -2 + 16 + -8?
0
Suppose -135 - 205 = -4*l. Suppose -135 = 18*u - 1305. Suppose 15*b - 395 = -u. What is the remainder when l is divided by b?
19
Let m be 21/(-28) - 22/(-8). Suppose 28 = 3*x - m*x. Calculate the remainder when x is divided by (-9)/(15/10*-1).
4
What is the remainder when (-6 + (206 - 10))*(3 + (-48)/20) is divided by 91?
23
Suppose 15*f - 19 = -109. Calculate the remainder when (-33)/1*f/((-126)/(-77)) is divided by 25.
21
Let o = -15 + 60. Calculate the remainder when 1439 is divided by o.
44
Calculate the remainder when 707 is divided by ((-60)/(-50))/(159/22790).
19
Let i(w) = -w**3 - 15*w**2 + 26*w + 162. Let b be i(-16). Suppose p - 13 = -q, -b*p = -2*q + 2 - 36. What is the remainder when p is divided by (10 + -4)*3/2?
6
Let c = -4556 + 7113. What is the remainder when c is divided by 849?
10
Suppose 44086 = 94*b - 47*b. What is the remainder when b is divided by 94?
92
Suppose -2*p + 14 = -108. What is the remainder when 13221/702*(-3 - (-27)/3) is divided by p?
52
Suppose 3*c - 1019 = -62*m + 58*m, 3*m - 1361 = -4*c. What is the remainder when c is divided by 9?
8
Let n = -27 - -26. Let x(q) = 36*q**2 + 2*q + 2. Let a(h) = -11*h - 36. Calculate the remainder when x(n) is divided by a(-5).
17
Calculate the remainder when (1238/10)/(99/6435) is divided by 14.
11
Suppose -4*m + 26 = 3*f - 8, -3*m = -4*f - 13. Suppose 0 = m*t - 9*t + 32. What is the remainder when 126 is divided by t?
14
Let h be (-5 - 4)/(2/8 + -1). Calculate the remainder when 148 is divided by (-1)/(8/(-228))*h/9.
34
What is the remainder when 814 is divided by 11 - (-1*9)/((-29)/(-493))?
158
Suppose 0 = 545*z - 546*z + 2, 2222 = 2*x + 4*z. Calculate the remainder when x is divided by 220.
7
Let a(c) = -2*c + 7. Let u(b) = b**2 - 8*b - 17. Let d be u(10). Suppose -3*i = d*i + 78. Calculate the remainder when a(i) is divided by 13.
7
Suppose 535 + 550 = 5*r. Suppose 0 = -3*y + h + 164, 4*y + h - 221 = -0*h. What is the remainder when r is divided by y?
52
Let v(l) = 92*l - 26. Let a be v(-2). Let m = 247 + a. What is the remainder when 124 is divided by m?
13
Let m(k) = 182*k - 1387. What is the remainder when m(79) is divided by 224?
223
Suppose b - 135 = 3*a + 2*a, 0 = -b - 4*a + 162. Let v = -131 + b. What is the remainder when v is divided by 11?
8
Suppose -812*t + 669*t = -13871. Calculate the remainder when 851 is divided by t.
75
Suppose 3*f = -4*r + 3961, 4*r - 3201 - 704 = 5*f. Calculate the remainder when r is divided by 38.
35
Suppose 2*q - 27 = 13. Let w(m) = 3*m + 8. Let l(f) = f**3 + 6*f**2 - f - 1. What is the remainder when w(q) is divided by l(-4)?
33
Suppose 638 - 2093 = 15*k. Let q = k + 124. Calculate the remainder when 197 is divided by (6/4)/(q/(-72)) + 37.
32
Suppose 1 = -a + 2*c, 0 = a + c + c - 7. Let r(n) = n**2 - n - 5. Let m be r(6). Suppose -a + m = d. Calculate the remainder when 39 is divided by d.
17
Let m(k) = k**2 + 18*k - 199. Calculate the remainder when m(-26) is divided by 9.
0
Let s = 10587 - 8696. What is the remainder when s is divided by 630?
1
Suppose 3*x + 20 = 4*i, -x = -0*x + 4. Let l(k) = -k**2 + 13*k - 15. What is the remainder when 1 + i - (-4 + 2)*5 is divided by l(11)?
6
Let h = -29 + 288. Let u(w) = 32 - 126*w - 134*w + h*w. Calculate the remainder when u(10) is divided by 4.
2
Let v = -38 + 68. Suppose -6*z = -1029 + 501. What is the remainder when z is divided by v?
28
Let v(q) = -q**3 + 4*q**2 + 88*q + 52. What is the remainder when 556 is divided by v(-8)?
92
Let f(n) = -5*n**2 - 100*n - 329. What is the remainder when 284 is divided by f(-6)?
11
Suppose -3767*r + 2705 = -3226*r. Let k(q) = 2*q**2 - 3*q + 4. What is the remainder when k(3) is divided by r?
3
Suppose -2*s + 28 = -34. Suppose -6*t = s*t - 1295. Calculate the remainder when 113 is divided by t.
8
Suppose 4*k + 8*j - 4*j = 44, -4*j = 5*k - 51. Suppose g - 2 - k = 0. What is the remainder when 13 is divided by g?
4
Suppose -5*t + 7*r = -53228, 4*t - 4*r - 42619 = -27. Calculate the remainder when t is divided by 222.
220
Let z(r) = -2*r**2 + 4*r - 418. Let b be z(0). Let d = b - -447. Calculate the remainder when d is divided by 8.
5
Suppose 0 = 11*g + 2*f - 1383, -7*f + 3*f = g - 99. Calculate the remainder when 740 is divided by g.
105
Let w(p) = -p + 1. Let h be w(5). Let c be (-13 + 3)*h/10. Suppose -o + 0*o = 5*j + c, -2*o = 4*j + 2. Calculate the remainder when o is divided by 1.
0
Let v = -100 - -165. What is the remainder when 239 is divided by v?
44
Suppose -9284 = -111*f + 4591. Calculate the remainder when f is divided by 13.
8
Let k(m) be the second derivative of m**3/2 + 6*m**2 - 25*m - 2. Calculate the remainder when k(11) is divided by 6.
3
Let s(h) = -h**3 - 108*h**2 - 322*h + 227. Calculate the remainder when 984 is divided by s(-105).
22
Let a(b) = 1 + 3 + b + 9 + 7. Suppose -3*l - z = -75, -4*l + 100 = -0*l + z. What is the remainder when l is divided by a(-6)?
11
Let j be 3*1/(-3)*-4. Suppose x - j*x = 5*x. Calculate the remainder when (x - (-35 - -3)) + -5 is divided by 6.
3
What is the remainder when 1424 is divided by 312/(-24) - (16 - 43)?
10
Let z(g) = -10505*g**3 + 26*g + 24. What is the remainder when z(-1) is divided by 101?
100
Let q(a) = -48*a**2 + 12*a + 20. Let z be q(-6). Let s be (-22)/33 + z/(-6). Calculate the remainder when s/(-2 - -4) - 4 is divided by 29.
28
Let p = -6 - -17. Let q be p/44 + (131/4 - 1). Suppose -n + 121 = q. Calculate the remainder when n is divided by 23.
20
Let l = 6 + 135. Let s = l - 21. Calculate the remainder when s is divided by 42.
36
Let l = 5 - -20. What is the remainder when (-36)/(38 - 20)*69/(-2) is divided by l?
19
Suppose -5*v + 388 = 4*u, 3 - 1 = u. Calculate the remainder when 100 is divided by v.
24
Let t(w) = -2*w - 10. Let a(m) = -m. Let p(i) = a(i) - t(i). Let v be p(-5). Suppose 39 - 4 = v*b. What is the remainder when 12 is divided by b?
5
Let q = -559 + 894. What is the remainder when q is divided by 8/(6/(35 + 1))?
47
Let i be -8*(3 - 261/72). What is the remainder when 250 is divided by (i*(-147)/(-35))/1?
19
Let l(r) be the third derivative of 7*r**4/12 - 5*r**3/2 - 2*r**2 - 35. Calculate the remainder when 49 is divided by l(2).
10
Suppose -62*h + 103 = 3*r - 58*h, 210 = 5*r - h. Calculate the remainder when r is divided by 1 + 2 - -11 - 0.
13
Suppose 651*t - 648*t + 2160 = 3*h, 3*h + 3*t = 2106. Calculate the remainder when h is divided by 234.
9
Suppose -y + 65 + 35 = 0. Let b = -96 + y. Calculate the remainder when 15 is divided by b.
3
Let q(w) = 278*w + 8958. Let x = -8 + 19. What is the remainder when q(-32) is divided by x?
7
Let b = 98 - 13. Suppose p = -p. Calculate the remainder when b is divided by 44*3/(p + 12).
8
Let i(b) = 47*b - 317. What is the remainder when 982 is divided by i(14)?
300
Let w = 2514 + -2485. Calculate the remainder when 31 is divided by w.
2
Let k(c) = -c**2 - 8*c + 14. Let v be k(-7). Suppose 326 = -19*h + v*h. Let f = -44 + h. What is the remainder when f is divided by 40?
39
Let t(k) = k**3 + 9*k**2 - 5*k - 21. Let h = 78 - 53. What is the remainder when t(-8) is divided by h?
8
Let y(k) = -17*k**2 + 362*k - 4. Calculate the remainder when 4342 is divided by y(21).
100
Suppose -3*z + 5*l = -936, -406*z + 409*z = 4*l + 942. What is the remainder when z is divided by 97?
31
Suppose 0 = 39*f - 47*f - 664. Let o = 100 + f. Suppose 4*z - z - 198 = 0. What is the remainde