= 4*t + 168, 2*t = -4*r - 654. Let c = -135 - r. Calculate the remainder when c is divided by s.
3
Suppose 4 = j - 3*p - 3, -j - 5*p = 1. Let v(i) = i**3 - 4*i**2 + 3*i - 10. Let z be v(j). Calculate the remainder when 0 - -12 - z*2 is divided by 5.
3
Let q = -36 + 44. Calculate the remainder when 89 is divided by -46*(6/(-8) - (-2)/q).
20
Let c(d) = -23*d - 36. Calculate the remainder when c(-14) is divided by 36.
34
Let o(q) = -3 + 17*q**3 - 2*q**3 + 2*q - 36*q**3 + 4. Let x(a) = a**2 + 6*a + 4. Let z be x(-5). Calculate the remainder when o(z) is divided by 12.
8
Calculate the remainder when 3717/12 + -5 + 3/12 is divided by 22.
19
Suppose -2*z - a + 67 = 3*z, 5*a + 1 = -z. Suppose -24*i = -22*i - 206. Suppose -5*k + 32 = -i. Calculate the remainder when k is divided by z.
13
Let a(k) = -k + 10. Let c be a(9). Let o(d) = 64*d**3 + 2*d**2 - d. What is the remainder when o(c) is divided by 22?
21
Let j(s) = 369*s**2 - 21*s + 20. What is the remainder when j(1) is divided by 4?
0
Suppose 9*o = 2*o + 133. Let c = 24 - o. Suppose -124 + 44 = -5*b. Calculate the remainder when b is divided by c.
1
Suppose -4*j + 17 = -19. Calculate the remainder when (7 + 36)*-3*3/(-9) is divided by j.
7
Let h be (-8)/(-3) + (-4)/6. Let w = h - -26. Calculate the remainder when w is divided by (-6)/36 + (-182)/(-12).
13
Let o(z) = z**3 + 5*z**2 - 6*z + 3. Let d = -10 - -4. Let f be o(d). Suppose 54 = -f*u + 228. Calculate the remainder when u is divided by 15.
13
Suppose -g + 76 = 7*r - 2*r, -28 = -r + 3*g. Let a(k) = -k**3 + 5*k**2 - 3*k + 3. Let v = 17 + -15. What is the remainder when r is divided by a(v)?
7
Let m be (12/27)/((-2)/54*-6). Suppose -3*b + 4*r + 131 = 0, 0 = -m*b - 2*r + 55 + 23. Let f = 1 - -10. What is the remainder when b is divided by f?
8
Let u = -286 - -177. Suppose -3 = -3*a, 275 = -3*n - 2*a + 67. Let o = n - u. What is the remainder when o is divided by 10?
9
Let c(j) = -4*j**3 - 8*j**2 - 3*j - 6. Calculate the remainder when 505 is divided by c(-3).
37
Let j = -1781 + 1836. Calculate the remainder when j is divided by 20.
15
What is the remainder when (-9512)/(-56) - (-7)/49 is divided by 44?
38
Let q(h) = 8*h + 135. What is the remainder when q(-16) is divided by 2?
1
Let p be 44 + 0 + 2 - (-20)/(-5). Let r = p + -31. What is the remainder when 28 is divided by r?
6
Suppose 3*o + z - 298 = 0, -4*o - 84*z = -83*z - 398. What is the remainder when o is divided by 58?
42
Suppose 5*j + 3*i + 41 = -0*j, 0 = 5*i - 15. Suppose -6210 = 27*h - 22*h. Calculate the remainder when h/(-45)*j/(-4) is divided by 24.
21
Suppose -7*n = n - 72. Calculate the remainder when 20 is divided by n.
2
Suppose b = 8 + 31. Suppose 2*l = -l + b. Let w(i) = 274*i - 541. What is the remainder when l is divided by w(2)?
6
Let k be (22 + 2)*(-1)/8*6. Let g = 3 - 0. What is the remainder when g is divided by (k - -17)*(-1 + -1)?
1
Let i = -361 - -438. Calculate the remainder when i is divided by 12.
5
Suppose 5*s + 29 + 36 = 0. Let o = -9 - s. What is the remainder when o is divided by (-38)/(-14) + (-14)/(-49)?
1
Suppose 0 = 8*z - 321 - 87. What is the remainder when z is divided by 18?
15
Suppose -4*p - 2 + 10 = 0. Suppose 3*i - 97 = -2*l, p*l = 5*l - 5*i - 98. Calculate the remainder when l is divided by 22.
19
Let r(i) = -30*i**2 - i + 1. Let c be r(2). Let w = -78 - c. What is the remainder when w is divided by 12?
7
Let u(f) = f**2 - 31*f - 115. Calculate the remainder when 147 is divided by u(-4).
22
Let m = -82 + 114. Let t = 30 + -13. What is the remainder when m is divided by t?
15
Calculate the remainder when 36 is divided by -2 + (-135)/(-7) + (-2)/7.
2
Let a(v) = v**3 + 10*v**2 + 7*v - 40. Calculate the remainder when a(-8) is divided by 1.
0
Let z(s) = -s**3 - 6*s**2 - 4*s - 7. Let a(n) = -2*n - 3. Let m(h) = h. Let b be m(-5). What is the remainder when z(-6) is divided by a(b)?
3
Suppose 104 + 407 = 3*y - 4*z, 0 = -y - 3*z + 192. What is the remainder when y is divided by 21?
9
Suppose -4*m + 2 = 2*g, -4*g + 5 = -2*m - 9. Calculate the remainder when 47 is divided by 29 - (m - 1 - -6).
22
Suppose 115 = 5*d + u + 2*u, -5*d + 3*u + 85 = 0. What is the remainder when 397 is divided by d?
17
Let r = 450 + -305. Suppose -55 = 5*k - 2*w - r, k + 3*w = 35. What is the remainder when 51 is divided by k?
11
Let m(d) = -2*d**3 - 2*d**2. Suppose 41 - 129 = -4*n. Suppose n*t + 56 = 26*t. Calculate the remainder when t is divided by m(-2).
6
Suppose -4250 = -27*o - 23*o. Calculate the remainder when o is divided by 22.
19
Let c = 132 + -125. Calculate the remainder when 29 is divided by c.
1
Suppose -317 - 61 = -9*c. Let y = c - 27. Suppose p + 34 = 2*p - 2*x, -5*p + 155 = -5*x. What is the remainder when p is divided by y?
13
Suppose 0 = -17*a - 24*a + 164. What is the remainder when 73 is divided by a?
1
Suppose -12*b - 2087 + 2159 = 0. Calculate the remainder when 88 is divided by b.
4
Let i be 8/(-6)*(-6)/2. Suppose -261*r + 263*r = 4. Suppose i*z - 146 = 3*u, 4*u = 4*z + r*u - 144. What is the remainder when z is divided by 9?
8
Suppose -4*b - 10 + 2 = 2*m, 0 = -5*m - 4*b + 4. Let w = -4 + 12. Calculate the remainder when w is divided by m.
0
Let m be ((-2025)/(-5))/(-5) - -1. Let v = -66 - m. Calculate the remainder when 38 is divided by v.
10
Suppose 40 - 140 = -4*j. Let i = -9 + j. Let p(z) = -z**3 - 6*z**2 + 8*z - 1. What is the remainder when p(-8) is divided by i?
15
Suppose -5*p + 36 = -4*i, 0 = -0*i - 3*i - 2*p - 27. What is the remainder when (8/(-10))/(i/495) is divided by 16?
12
Let m(g) = 10*g**2 + 104. What is the remainder when m(-12) is divided by 15?
14
Suppose -u = 3*s - 17, 60 - 21 = 3*u - 3*s. What is the remainder when 386/16 + (-4 - (-186)/48) is divided by u?
10
Suppose -22 = -0*b + 2*b. Let w = -8 - b. Suppose -24 + w = -3*q. Calculate the remainder when 18 is divided by q.
4
Let b = 34 + -11. Suppose -3 = -2*f + b. Calculate the remainder when f is divided by 5.
3
What is the remainder when ((-6222)/(-136))/((-1)/(-4)) is divided by 58?
9
Calculate the remainder when 131 is divided by (-2487)/(-21) - (-80)/140.
12
Suppose -k + 19 + 6 = 5*v, 5*v + 5*k = 45. Suppose q = -v*q + 95. Let s(l) = 36*l**2 + 3*l + 2. Calculate the remainder when s(-1) is divided by q.
16
Let c be -1*52 - -5*(-3)/(-15). Let q = c + 56. Calculate the remainder when 6 is divided by q.
1
Suppose 0 = 122*a - 111*a - 1595. Calculate the remainder when a is divided by 37.
34
Suppose 0 = -g - 3*x + 12, -4*x = g - 18 + 3. Suppose 2*u + 2*j = 42, -g*u = -3*j - 63 - 24. Calculate the remainder when u is divided by (-5 + 1)*(-13)/4.
12
Let a(q) = -6*q + q - 36 - 16 + 13. Let k = -8 - -70. What is the remainder when k is divided by a(-12)?
20
Let y(c) be the second derivative of -2*c**3/3 + 3*c**2 + 2*c. Let g(t) = 71*t**2 + 283*t + 10. What is the remainder when y(-5) is divided by g(-4)?
12
Let y(v) = 6*v + 2. Let n be y(1). Suppose 5*s = s - n. Calculate the remainder when ((-108)/(6/2))/s is divided by 4.
2
Let w(x) = -x**2 - 41*x + 328. What is the remainder when 1193 is divided by w(6)?
43
Suppose 105 + 99 = 6*y. Suppose 0 = 4*q - 2*u - 38, -4*u + y = 2*q - 0*q. Calculate the remainder when 30 is divided by q.
8
Suppose 0 = -4*q + 3*i + 337, -3*q + 134 = -2*i - 120. What is the remainder when q is divided by 30*((-36)/(-45) - (-2)/10)?
28
Suppose 0 = -2*f + f + 4*w - 1, 0 = -w + 1. Suppose 0 = -2*y - f*y - 55. Let v = 19 + y. What is the remainder when 29 is divided by v?
5
Let k(b) = 16*b - 11. Let l be k(2). What is the remainder when 70 is divided by l + (14/35)/((-3)/15)?
13
Suppose 9*y = -7*y + 880. What is the remainder when 161 is divided by y?
51
Suppose -3*r = 4*r - 301. Calculate the remainder when 101 is divided by r.
15
Let q(m) = m**2 + 5*m - 62. What is the remainder when 236 is divided by q(7)?
16
Let a = 63 + -65. What is the remainder when ((8/(-2))/((-3)/(-417)))/a is divided by 35?
33
Calculate the remainder when (23256/(-32))/(-9) - (-10)/8 is divided by 21.
19
Let d = 1670 - 1556. Calculate the remainder when 116 is divided by d.
2
Let z = 1 + 16. Suppose s + 1 = z. What is the remainder when 45 is divided by s?
13
Suppose -6*d + 10*d = 80. Let z = 150 + -93. What is the remainder when z/4 - 5/d is divided by 6?
2
Suppose 3 = -y - 3*t, -6*y = 