ppose -37 = -m - 4*b, 4*m - b - 164 = -m. Suppose 272 = 4*p + 5*y, 5*p - 374 + 55 = -y. What is the remainder when p is divided by m?
30
Let x = -3880 - -3885. Calculate the remainder when 145 is divided by x.
0
Suppose 3*i = -53*o + 55*o - 186, 5*o + 5*i = 440. Calculate the remainder when 421 is divided by o.
61
Let i = -42 + 30. Let x(a) = -a**3 - 13*a**2 - 10*a + 28. Let n be x(i). Let k(g) = 18*g + 10. Calculate the remainder when k(n) is divided by 22.
16
Let m = 4686 + -4485. Calculate the remainder when m is divided by 51.
48
Let k(h) = h**3 + 67*h**2 - 15*h - 989. Let a = -44 + 84. What is the remainder when a is divided by k(-67)?
8
Suppose 11*p = -1068 - 846. Let d = -130 - p. Calculate the remainder when d is divided by 12.
8
Let a = 133 - 175. What is the remainder when 3/21 + (-4152)/a is divided by 21?
15
Suppose -3*b = -10*k + 300 + 551, 0 = 4*b - 12. Calculate the remainder when 297 is divided by k.
39
Suppose 564*d - 103158 = 531*d. Calculate the remainder when d is divided by 25.
1
Let f(m) = -2*m + 62. Let x(t) = t**3 - 2*t**2 + 6*t - 13. Let q be x(3). What is the remainder when 75 is divided by f(q)?
7
Let f(v) = -5*v**2 - 10*v - 9. Let q(b) = 11 - 10*b + 12 - 32 - 6*b**2. Let h(u) = 5*f(u) - 4*q(u). Calculate the remainder when 17 is divided by h(-8).
3
Let v be (216/10)/(12/400). Suppose 2*x = 4*a - x - v, 193 = a - 4*x. Calculate the remainder when a is divided by 15.
12
Let s(g) be the third derivative of -g**6/24 - g**5/20 + g**4/4 - 47*g**2. Calculate the remainder when s(-4) is divided by 63.
59
Let b = 6203 - 6088. Calculate the remainder when 155 is divided by b.
40
Let w(f) = 33*f**2 + 155*f + 685. Let r(k) = 13*k - 7. What is the remainder when w(-5) is divided by r(3)?
31
Let d(t) = -t**2 + 13*t - 10. Let o = 128 + -114. Let n = o + 33. Calculate the remainder when n is divided by d(11).
11
Let y(o) = -16*o - 584. What is the remainder when 569 is divided by y(-38)?
17
Suppose -5*g + k = -291 - 27, 4*g - 5*k = 246. Let t(l) = l + 10. Let v be ((-10)/6)/(7/21). What is the remainder when g is divided by t(v)?
4
Suppose 0 = 16*t + 10*t - 4654. Let u = 271 - t. Calculate the remainder when u is divided by 54.
38
Calculate the remainder when 366 is divided by (1782/(-90) + -8)*-5.
88
Suppose 4*m + 2 = -5*o, -4 = 3*o + 2. Suppose c + 104 + 0 = r, 0 = -m*r - c + 196. What is the remainder when r is divided by 25?
0
Let i be 2*(622/(-4) - (-15 - -13)). Let d = 337 + i. Suppose 0*c - 4*c + 464 = -a, 0 = 2*c + 2*a - 222. Calculate the remainder when c is divided by d.
25
What is the remainder when 6/(-21)*(-887 + 187) is divided by 72?
56
Let n(p) = 70*p + 115. Let q be n(-10). Let s = q + 617. Calculate the remainder when 254 is divided by s.
30
Suppose -3*n - 5*b = -1142, -2*n - 94*b = -93*b - 759. Calculate the remainder when n is divided by 366.
13
Let k be 31/62 - 7/2. What is the remainder when 170 is divided by (-8 + 51)*2*k/(-6)?
41
Suppose -2*v + 1 = 2*v - 5*u, -4*u - 8 = -5*v. Calculate the remainder when 26/v + (-1)/(-2) is divided by 5/((-135)/(-2)) + ((-280)/135 - 161/(-23)).
2
Let z(p) be the second derivative of 0 - 15*p + 1/12*p**4 + 21/2*p**2 - 11/6*p**3. What is the remainder when 7 is divided by z(9)?
1
Let o(x) = 105*x - 649. Calculate the remainder when 857 is divided by o(7).
83
Suppose 0 = -d + 5*z + 12, z = -d - 2*z + 44. Let h = 6606 - -739. Suppose 2098 - h = -33*l. Calculate the remainder when l is divided by d.
31
Suppose 12885 + 3065 = 145*z. What is the remainder when 2656 is divided by z?
16
Let j be 4/(-5) - (2 - 29/5). Suppose 3*x = j*b - b + 148, -5*x = -b - 256. Calculate the remainder when x is divided by 20.
12
Let u be (-658)/7*1/2. Let d = 48 + u. Suppose 0 = -3*v + 94 - d. Calculate the remainder when v is divided by 12.
7
Suppose 0 = 21*n + 26*n - 46*n. Suppose -158 = -4*a - z, n*a - z = -a + 42. Calculate the remainder when 101 is divided by a.
21
Suppose -8 = 7*h + 41. Let a = -86 - -149. Let q = a + h. What is the remainder when q is divided by 19?
18
Suppose 0*t + 6*t = -144. Let g = t + 43. Suppose -7*s + 25 = -2*s + 2*b, -b - 5 = 0. What is the remainder when g is divided by s?
5
Let j = 278 + -267. Suppose j*w = 4*w + 1204. Calculate the remainder when w is divided by 22.
18
Calculate the remainder when 593 is divided by 7/((-35)/920)*14/(-56).
41
Let d(u) = 4*u - 7. Suppose 6*w + 201 = 9*w - 2*j, 5*w + j - 322 = 0. What is the remainder when w*2 - (-4 - (-5 - 0)) is divided by d(5)?
12
Let h = -20799 - -20860. What is the remainder when 172 is divided by h?
50
Let h(u) = -17*u - 15. Suppose 4*r - 87 = -63. Let g be (-30)/25 - (r/(-5) + 2). What is the remainder when 60 is divided by h(g)?
3
Suppose 5*s - 63 = -a, 6 = 2*s + 4. Suppose -2*i - 2*u + 44 = 0, -23*u + 24*u = -3*i + a. Calculate the remainder when 89 is divided by i.
17
Calculate the remainder when ((-607)/(-4))/((-52)/(-208)) is divided by 596.
11
Calculate the remainder when ((-2336)/48)/(2/(-44)) + (-4)/6 is divided by 22.
14
Suppose 3*g - 7*g + 80 = 0. Let s be (-54)/(-90) + 3/(-5). Suppose k + 24 = 5*i - s*k, 0 = 5*k + g. Calculate the remainder when i is divided by 3.
1
Let d = 68 + -39. Suppose 20 = 9*q - 34. Suppose 141 = q*n + 51. What is the remainder when d is divided by n?
14
Let q = -547 - -547. Suppose b = -5*k - 11, q = 5*b - 8*b + 3*k + 39. What is the remainder when 100 is divided by b?
1
Let y(w) = 12*w - 19. Let s be y(-7). Let t = 132 + s. Let m(i) = -i**2 + i + 10. Calculate the remainder when t is divided by m(0).
9
Suppose 17*t = 20*t - 6. Suppose t*p + 107 = 3*k, -k = -p + 2*p - 34. Calculate the remainder when 96 is divided by k.
26
Suppose -17*r - 22*r = -r - 3154. What is the remainder when 302 is divided by r?
53
Let m = 16 - -233. Suppose -20*z - 18 = 62. What is the remainder when m is divided by ((-26)/(-6) + z + 9)*3?
25
Suppose 11*r - 53 = -20. Suppose l - 9*c + 13*c - 4 = 0, -l = r*c - 6. Calculate the remainder when 104 is divided by l.
8
Let g = 4598 - 4481. What is the remainder when 3388 is divided by g?
112
Suppose 213 = 2*q - 0*q - 5*v, -5*q = 4*v - 549. Let j(o) = -o**2 - 52*o - 443. Calculate the remainder when q is divided by j(-40).
35
Let v = -550 - -540. What is the remainder when -3 - (-7 - v - 352) is divided by 70?
66
Let g = 21 - 3. Let j(w) = -w**3 - 10*w**2 + 6*w + 14. Let a be j(-11). Let x = 77 - a. What is the remainder when g is divided by x?
2
Let v(r) = 2*r**3 + 68*r**2 - r - 8. What is the remainder when 140 is divided by v(-34)?
10
Let j(q) = -63*q**2 - 1161*q - 81. Suppose a + 0*a - 14 = 0. Calculate the remainder when j(-18) is divided by a.
13
Let q(y) = 10*y + 277. Let z = -145 - -283. Calculate the remainder when z is divided by q(-21).
4
Let w be 20*6/15*1. Let n(a) = -10*a**2 - 8*a + 22. Let s be n(w). Let v = 966 + s. Calculate the remainder when v is divided by 57.
56
Suppose -558 - 52 = -10*s. Calculate the remainder when s is divided by (-3)/((-18)/4) - (-147)/9.
10
Let i be (68/(-6))/(1/(-3)). What is the remainder when 1058/i + (-4)/34 is divided by 9?
4
Let c(h) = 2*h**2 - 1. Let n(q) = 3*q**2 - q - 1. Let a(x) = -c(x) + 2*n(x). Calculate the remainder when 81 is divided by a(-3).
40
Suppose 22*w - 165 = 7*w. Suppose -4*r = w*r - 315. What is the remainder when 165 is divided by r?
18
Suppose -3*l + 38 = -l. Suppose l = -0*v + v. Calculate the remainder when ((-15)/(-10) - 1)/((-1)/(-146)) is divided by v.
16
Suppose -119*q + 157368 - 57765 = 0. What is the remainder when q is divided by 24?
21
Let b(k) = -357*k + 1471. Calculate the remainder when 977 is divided by b(4).
31
Suppose 96 = 212*m - 200*m. Let p = -19 + 39. Calculate the remainder when p is divided by m.
4
Let a = -82 + 93. Suppose 24 = 19*y - a*y. Suppose -x + 11 = 2*k + y, -4*k = -x - 16. Calculate the remainder when 16 is divided by k.
0
Let b(k) = 638*k - 8222. Calculate the remainder when 1428 is divided by b(13).
60
Let f(i) = -4691*i + 2*i**3 + 36 + 4691*i. What is the remainder when 176 is divided by f(0)?
32
Let d = 20518 - 12908. Calculate the remainder when d is divided by 173.
171
Let h be ((-1)/(-3))/(75/(-4050)). Calculate the remainder when 244 is divided by -7 + h/3 + 32.
16
Suppose -5*q + 169 = 2*z, -4*z - 128 = -4*q - 2*z. Suppose 37*h = q*h + 404. Let 