Let m = 10 - z. What is the remainder when 27 is divided by m/(4 - -1) - -4?
2
Let i be (1 - -3)/((-6)/(-27)). Let b = i - 18. Suppose -3*j + 49 + 53 = b. Calculate the remainder when j is divided by 12.
10
Suppose -178 = -19*f + 411. Calculate the remainder when 144 is divided by f.
20
Let r(h) = -h**3 + 6*h**2 + h + 12. Suppose 2*w - 15 + 6 = 3*t, -5*w + 31 = t. Calculate the remainder when 52 is divided by r(w).
16
Suppose 0 = -3*b + 6*b. Let f(x) = x + 9. Let l be f(-3). Let k = b + l. Calculate the remainder when 9 is divided by k.
3
Suppose 3*q - 5 = 8*q, -d + 6 = 5*q. Suppose 2 = -3*i + 14. Calculate the remainder when d is divided by i.
3
Suppose -11*k + 9*k = 84. Let u = -31 - k. Calculate the remainder when u is divided by 4.
3
Suppose 0 = 2*t - 212 - 150. Calculate the remainder when t is divided by 48 - (-1 - -3 - 0).
43
What is the remainder when (1/3)/(1/96) is divided by 7?
4
Suppose 2*r - 3*r + 41 = 0. Let b = -7506 + 7521. What is the remainder when r is divided by b?
11
Let x(a) = -a**3 + 4*a**2 - 2*a - 3. Let w be x(3). Suppose 5*b + 2 = 62. Calculate the remainder when 2/(6/135 - w) is divided by b.
9
Suppose 2*z + 2*s = 14, -z + 8*s = 6*s - 22. Calculate the remainder when 28 is divided by z.
4
Let f(r) = 2*r**2 - 65*r - 15. What is the remainder when f(34) is divided by 9?
6
Let q be 2 + (-3 + 6 - -2). Let h = -6 + q. Let f(t) = 54*t**3 + t - 1. What is the remainder when f(h) is divided by 14?
12
Let c(h) be the third derivative of -h**6/120 - h**5/60 + h**4/24 + h**3/3 + 12*h**2. Calculate the remainder when 11 is divided by c(-2).
3
Suppose -151 = 4*h - 5*h. Let r = h + -21. Let c = 41 - 8. Calculate the remainder when r is divided by c.
31
Suppose -2*m + 5*o = 14, 5*m + o - 19 = -0*m. Suppose 3*p - 30 = -m*y, 3*y = y. Calculate the remainder when p is divided by 4*((-81)/6)/(-9).
4
Let r(b) = b**2 - 8*b - 3. Let u be r(10). Let s(c) = -8 - 4*c + 9*c**2 - c**3 - 3 + u. Calculate the remainder when s(8) is divided by 8.
6
Suppose 1171 = 7*s - 1657. What is the remainder when s is divided by 11?
8
Suppose -30*w + 59 = -271. What is the remainder when w is divided by 2?
1
Suppose -4*r = -390 - 142. Suppose -4*i = 5*t - r, 6 = 4*t + 2. What is the remainder when ((-41608)/64)/(-7) + (-2)/(-16) is divided by i?
29
Suppose 3*r - 12 = -q, -4 = -r - 0*q + 5*q. Let l(j) = 34*j - 13. What is the remainder when l(r) is divided by 18?
15
Let d(l) = l**3 + 14*l**2 - 36*l + 38. What is the remainder when d(-16) is divided by 37?
28
Suppose 0 = 4*u - 2*g + 7*g - 59, 0 = g + 1. Suppose 188 = 4*d - 5*l + 3*l, 2*l = -3*d + 127. Calculate the remainder when d is divided by u.
13
Let j(a) = 2*a**2 + 2*a + 9. Let o(k) = k + 2. Calculate the remainder when j(-3) is divided by o(9).
10
Let m(j) = 3*j**3 - j**2 - 6*j + 5. Let y be m(4). Suppose -6*i + y = -23. What is the remainder when 89 is divided by i?
29
Suppose -3*o = 2*o + l - 35, 2*l + 10 = 0. What is the remainder when 17 is divided by 12/o - (-34)/4?
7
Let f = 77 - 36. Let p(s) = s**2 - 3. Let w = 5 - 0. What is the remainder when f is divided by p(w)?
19
Let b be (-8)/6*(-63)/(-6). Let g = b - -7. Let z = g - -13. Calculate the remainder when 20 is divided by z.
2
Let x(k) = -k**3 + 8*k**2 - 6*k + 3. Suppose -4 + 0 = p, -g + 11 = -2*p. What is the remainder when x(7) is divided by g?
1
Let l = -2025 + 2131. Let f = -3 + 25. What is the remainder when l is divided by f?
18
Let a be (-49 - 1)*11/((-110)/12). Let u = a + -24. What is the remainder when 71 is divided by u?
35
Suppose -7*a = -a + 150. What is the remainder when a + 26 - ((-1 - -2) + -158) is divided by 20?
18
Let l(i) = 9*i - 26. Let h be l(8). Let f = -33 + h. What is the remainder when 36 is divided by f?
10
What is the remainder when 369 is divided by (-1)/4 + (-1082)/(-8) + -11?
121
Let z = -38 + 59. Let g be (-6)/(((-10)/(-3))/(-5)). Suppose q - g = 2. What is the remainder when z is divided by q?
10
Let h(k) = -4*k + 24. Let r be h(6). Calculate the remainder when ((-4)/(r - 1))/(3/33) is divided by 17.
10
Let s(x) = 57*x - 144*x + 75*x - 37. What is the remainder when s(-6) is divided by 13?
9
Suppose 5*z = -0*f - 3*f + 106, 0 = -4*z + f + 78. What is the remainder when ((-4)/(-6))/(64/3552) is divided by z?
17
Let t = 130 + -101. Let f = t - -23. What is the remainder when 205 is divided by f?
49
Let m(y) = -4*y**2 + 64*y + 69. What is the remainder when 1378 is divided by m(16)?
67
Let u(s) = -22*s + 4. Let p = -2 + -2. Let w be u(p). Suppose -3*k = k - w. What is the remainder when k is divided by 8?
7
What is the remainder when 29 is divided by (2 + 1/(-1))*(322 + -297)?
4
Let a = 72 - -14. Calculate the remainder when a is divided by -1 - -32 - (0 - -1).
26
Let n(s) = -14*s + 38*s**2 - 67*s**2 + 30 + 30*s**2 + 4. Calculate the remainder when n(16) is divided by 34.
32
Let j(s) = 4*s**2 - 3*s + 3. What is the remainder when (-3)/(-45) - 8554/(-390) is divided by j(2)?
9
Suppose 7*v + 10 = 45. Suppose -v*w - 4*w + 117 = 0. What is the remainder when 49 is divided by w?
10
Let l = -2 + 6. Suppose 10 = 5*m, -5*i + 7*m = 4*m - 154. Calculate the remainder when 17 - ((-1)/(-4) + 56/i) is divided by l.
3
Calculate the remainder when (-15 - 26)*(-3 - -2) is divided by 18.
5
Let z be 1*-3 + (7 - -3). Suppose -2*b - z*b = -144. Calculate the remainder when 44 is divided by b.
12
Let s(l) be the first derivative of -13*l**2/2 - 9*l - 10. Suppose -3*r + 0*r = -4*f - 73, 0 = -2*r - f + 34. What is the remainder when s(-5) is divided by r?
18
Let y be 4/3 + (-87)/(-9). Let b = y + -9. What is the remainder when 3/b*(-156)/(-18) is divided by 8?
5
Suppose 3*l + 25 = 2*g, -22 - 30 = -4*g + 4*l. Let h = -222 - -247. Calculate the remainder when h is divided by g.
11
Let q(f) = 13 + 0*f + 0*f - 2*f + 4*f. Let w be q(-5). Suppose -p + 3*a = -a - 31, -5*a + 59 = w*p. What is the remainder when p is divided by 13?
10
Suppose u - 5*k = -20, 0 = -u + 2*k + 2*k - 18. What is the remainder when ((-153)/(-17))/((-6)/u) is divided by 6?
3
Suppose -3*a = l - 1815, 3*a + 7*l - 3*l = 1824. Let s = a + -335. Calculate the remainder when s is divided by 17.
14
Let h(s) = 40*s**3 - 2*s**2 + 3*s - 5. What is the remainder when h(2) is divided by 35?
33
Let y(o) = -3*o**2 + 5*o**2 + o**2 + 0*o + 2*o - 2*o**3. Suppose -4*m + 2*q - 5 = 1, -5*q = -m + 3. Calculate the remainder when y(m) is divided by 7.
3
Let j(w) = -w**2 + 17*w - 2. Suppose 0 = g + 1 - 18. Let z be j(g). What is the remainder when (-9852)/(-108) + z/9 is divided by 23?
22
Let c(o) = -3*o**3 - o**2 + 2*o + 1691. What is the remainder when c(0) is divided by 121?
118
Suppose 11 = 3*m - b, -3*b + 36 = 4*m + b. Suppose 4*i + 12 = 2*t, 41*t - 18 = 38*t + 5*i. Calculate the remainder when t is divided by m.
1
Calculate the remainder when ((3 + 161/(-2))*2)/(-1) is divided by 26.
25
Let g(c) = c**3 - 4*c**2 + 5. Let v be g(5). Suppose -5*b + v = -0*b. Suppose 2*q - b*q + 28 = 0. What is the remainder when 19 is divided by q?
5
Suppose 3*g = -6*o + o - 37, -2*g = 3*o + 24. What is the remainder when ((-21)/14)/(g/24) is divided by 2?
0
Suppose 0*k - 3*k + 773 = -4*h, 3*k = -2*h + 743. What is the remainder when k is divided by 9?
8
Suppose 3*y - 4 + 82 = 0. Let n = 38 + y. Calculate the remainder when 34 is divided by n.
10
Suppose 2*x - 2 = -5*o, -2*o - 5*x = -3*o + 22. Calculate the remainder when -58*(o - 25/10) is divided by 16.
13
Suppose -3*r - 3*v + 2 = -2*r, -5*r = v - 80. Calculate the remainder when (2103/7)/3 + 4/(-28) is divided by r.
15
Let z = 11 - 7. Let c be z/(-3)*18/(-12). Suppose 0 = -c*w + 4*s - 12, -w = -2*w - 4*s + 24. What is the remainder when 7 is divided by w?
3
Let x be (2 + -3)*-1*(-2 + 2). Suppose 3*f - f - 66 = 4*p, -3*f - p + 71 = x. What is the remainder when 120 is divided by f?
20
Let d be (-1 - -1) + (11 - -1). Suppose 2*b - 16 = d. Suppose -9*c = -15 - 21. Calculate the remainder when b is divided by c.
2
What is the remainder when 178 is divided by (-14)/42*(-71 - (-5 - -3))?
17
Let p(m) = 2*m**2 - 21*m - 13. Let z be p(11). Suppose 0 = -4*l - 4*i - 24, 4*i + 27 = 2*l + 9. Calculate the remainder when l/(54/(-26) - z) is divided by 5.
3
Suppose 30*b = 39*b - 2313. Calculate the remainder when b is divided by 67.
56
Suppose -13*g - 18 = -265. L