
12
Suppose -206 = -7*n + 2*n + 4*a, 4*n = -5*a + 132. Suppose 11 = 5*t - 4. Suppose f + 26 = t*f. What is the remainder when n is divided by f?
12
Let z(c) = c**2 - 9*c + 31. What is the remainder when 36 - (0 + (0 - 1)) is divided by z(6)?
11
Suppose -2*i + 7*i - 315 = 0. What is the remainder when i is divided by 16?
15
Suppose -10 = 4*q + 2. Calculate the remainder when 15 is divided by q/15 - 41/(-5).
7
Calculate the remainder when 12*(-24)/(-9) + 1 is divided by 18.
15
Let o be (-20)/(-8) + 2/(-4). What is the remainder when 2/1 + 9 - o is divided by 4?
1
Let i = -11 + 2. Let a = i - -48. Let d = a - 26. Calculate the remainder when d is divided by 7.
6
What is the remainder when -5*((-2)/(-3))/((-10)/9) is divided by (-1)/(-1)*(-3)/(-1)?
0
Suppose -s - 4*i - 11 = 2*s, -5*s - 5*i = 10. Let j(o) = 0*o + 7 + o + 0*o. What is the remainder when j(0) is divided by s?
1
Suppose 0 = 4*u - 466 + 118. Calculate the remainder when u is divided by 22.
21
Let d(a) = a - 3. Let u be d(5). Suppose 5*v = 3*w + u*w - 15, 3*w - 8 = 2*v. What is the remainder when 13 is divided by -1*(-10)/((-2)/v)?
3
Let r(x) = 2*x**2 - 12*x - 8. Let h be r(9). Suppose -u - 4*u = -4*l - h, 2*u + 2*l = 22. Calculate the remainder when 114/4 - 2/(-4) is divided by u.
9
Let m(k) = 2*k - 7. Let a be m(11). Suppose -3*v + 119 = g, 3*v - 5*g - 4 = 85. What is the remainder when v is divided by 1 + -1 + -2 + a?
12
Suppose -2*i + 2 = -i. Calculate the remainder when 2*110/(-16)*-4 is divided by 8/i*57/12.
17
Let w(t) = 3*t + 5. Let p be w(-4). Let c = -3 - p. Suppose -2*b = -2 - 12. Calculate the remainder when b is divided by c.
3
Suppose 0 = -2*y - 2*f - 3*f + 23, -81 = -4*y - 3*f. Suppose -5*c + y = -3*t, 2*c - 5*t = -10*t + 22. Calculate the remainder when 11 is divided by c.
5
Let a(p) = 4*p**2 + 1 - 2 + 4 - 4*p - 3*p**2. What is the remainder when a(7) is divided by 13?
11
Let l(b) = -8*b + 2. Let v(p) = 2*p + 5. Let r be v(4). Let t be 5/20 + r/(-4). What is the remainder when l(t) is divided by 14?
12
Let j(o) = 3*o**3 - o + 1. Suppose -p - 2 = -3*p. Let c be j(p). Let x = c - -38. Calculate the remainder when x is divided by 21.
20
Let z = -3 + 5. Let j be ((4 - z) + 1)*-1. What is the remainder when 17 is divided by 9/(j/(3*-1))?
8
Suppose -10*k + 26 = -234. Calculate the remainder when 77 is divided by k.
25
Suppose 204 = -27*f + 30*f. What is the remainder when f is divided by 14?
12
Suppose 13*n - 684 = 4*n. Calculate the remainder when n is divided by 26.
24
Let p = -60 + 107. What is the remainder when p is divided by 12?
11
Suppose -b - 4*r + 2 = -1, 0 = -2*b + 4*r + 18. Let v = -8 + b. Calculate the remainder when 40 is divided by (-14)/(-1) + 1 + v.
12
Let g(m) = 8*m - 19. What is the remainder when 37 is divided by g(5)?
16
Suppose 0 = -w + 4*w - 156. Suppose n + 11 = -2*q + w, 4*n = 2*q + 114. Calculate the remainder when n is divided by 16.
15
Let z = -2 + 3. Let t(y) = -2*y**2 + 7*y - 4. Let u be t(4). Let c = 9 + u. Calculate the remainder when z is divided by c.
0
Suppose 0 = -51*h + 53*h - 66. Calculate the remainder when h is divided by 2.
1
Suppose 3 + 0 = j. Let y(w) = 2*w**2 - 3. What is the remainder when y(j) is divided by 8?
7
Calculate the remainder when (0 - (-180)/(-35))/((-2)/35) is divided by 23.
21
What is the remainder when ((-36)/24)/(3/(-14)) is divided by 2?
1
Suppose 5*l - 79 + 4 = 0. Calculate the remainder when 74 is divided by l.
14
Suppose 11 = 2*f - 7. Let w(h) = h**3 - 3*h**2 + h - 4. Calculate the remainder when w(4) is divided by f.
7
Suppose -3*h + 31 - 3 = j, 5*h = -j + 24. Calculate the remainder when j is divided by 18.
16
Calculate the remainder when 77 - (-3 + -1 + 0) is divided by 21.
18
Suppose -3*b + 2*b + 30 = 0. Suppose -b = -3*x - 3*x. Calculate the remainder when 19 is divided by x.
4
Let o(z) = z**2 + 5*z - 2. What is the remainder when o(-9) is divided by 9?
7
Suppose -267 = -3*w + 183. Calculate the remainder when w is divided by 51.
48
What is the remainder when 149 is divided by 2/(-11) - (-2770)/110?
24
Let c = 3 - -2. Let s(n) = n**3 + 6*n**2 + 7*n + 6. Let y be s(-4). Suppose -2*k - 2*w = -w - y, -4*k = -5*w + 8. What is the remainder when c is divided by k?
2
Let z(t) = t + 14. Let d be z(-10). Let r = d - -5. What is the remainder when 25 is divided by r?
7
Let m = 32 - 0. Calculate the remainder when m is divided by 11.
10
Let m(l) = -l + 4. Let j be m(6). Let y(t) be the first derivative of 5*t**3/3 + 3*t**2/2 + 3*t + 1. What is the remainder when y(j) is divided by 9?
8
Suppose 0 = -5*k + 4*l + 194, 3*k = 5*l + 169 - 50. What is the remainder when k is divided by 8?
6
Let v(a) = a**2 - 12*a + 6. Let l be v(12). Calculate the remainder when ((-2)/4)/(l/(-456)) is divided by 10.
8
Suppose 5*t - 7*g - 62 = -3*g, -2*g = -5*t + 66. Calculate the remainder when 68 is divided by t.
12
Let v(f) = -3*f**3 - 3*f**2 - 4*f - 1. Calculate the remainder when v(-3) is divided by 17.
14
Let j(f) = 7*f + 3. Calculate the remainder when 17 is divided by j(1).
7
Let a(o) = o - 1. Let i be a(1). Let l = 2 + i. Suppose -l*x + x + 16 = 0. What is the remainder when 30 is divided by x?
14
Suppose -9*a + 6*a + 396 = 0. Calculate the remainder when a is divided by 15.
12
Let h(x) = 4*x**2 - x - 4. Calculate the remainder when h(-3) is divided by 9.
8
Suppose -2*g - 2 = 4, 3*w - 21 = 5*g. Suppose 4*b - 3 - 1 = -4*p, -4*p + 5 = 5*b. Calculate the remainder when w is divided by b.
0
Suppose -f - 2*o - 8 = 2*f, 3*f + 16 = -4*o. Suppose -3*u - p = -157, f = -5*u + p - 5*p + 257. Calculate the remainder when u is divided by 14.
11
Suppose -3*v = 2*v - 25. Suppose 4 = 2*q + v*b, 3 - 1 = q - 4*b. What is the remainder when q is divided by (-2)/4*(0 + -2)?
0
Suppose 7*q - 4*q - 9 = 0. Let i(m) = -m**3 + 6*m**2 + 2*m - 3. What is the remainder when i(6) is divided by q?
0
Calculate the remainder when (2/(-4))/(10/(-1580)) is divided by 8.
7
Let y = -41 - -25. Suppose -t - 2*i = 3*i - 15, -t - 4*i + 12 = 0. What is the remainder when 46 is divided by (t + y/(-3))*3?
14
Let o(v) = v**3 - 8*v**2 + 2*v - 7. What is the remainder when 32 is divided by o(8)?
5
Let f be 2/8 + 3/(-12). Let h(d) = d + 2. Calculate the remainder when (f - 22)/((-6)/9) is divided by h(15).
16
Calculate the remainder when 26 is divided by ((-2)/(-4))/((-2 - -4)/60).
11
Let o(s) be the second derivative of 1/6*s**4 - 3/20*s**5 + 0 + 0*s**3 - 1/2*s**2 - s. What is the remainder when 14 is divided by o(-1)?
2
Suppose 4*w + 2*k + 1 = -1, 2*w - 4 = -2*k. Let n = w - -8. Calculate the remainder when 54/4 + (-1)/(-2) is divided by n.
4
Suppose -2*h = -2*q - 60, h = -2*h - 3*q + 90. What is the remainder when h is divided by 8?
6
Let n = 2 - 7. Let z = n - -10. Suppose z*b - 16 = b. Calculate the remainder when 10 is divided by b.
2
Let n(x) be the third derivative of -x**4/12 - 5*x**3/6 + 5*x**2. What is the remainder when 12*4/6*1 is divided by n(-5)?
3
Calculate the remainder when 141/6*(-2)/(-1) is divided by 25.
22
Suppose 4*l - 3 = -3*t, -t = 2*l - 6*l - 1. Suppose d + 2*d - 75 = l. What is the remainder when d is divided by (-4)/14 + (-200)/(-14)?
11
Let n(z) = z**2 - 4*z - 3. Let b be n(-2). Suppose -4*i - b = 3*d - 50, -i = 1. Let l = 32 - d. What is the remainder when 65 is divided by l?
14
Suppose 3*l - 2*a - 6 = 58, 2*a = 5*l - 104. Suppose 4*m + 108 = 2*c, 5*c - 4*m - 196 - 86 = 0. Calculate the remainder when c is divided by l.
18
Let o(a) = a**2 - 9*a + 12. Let c be o(8). Suppose -5*u = -c*u - 34. Calculate the remainder when u is divided by 9.
7
Suppose -38 = -5*n + 32. Suppose 3*u - n = 19. Calculate the remainder when u is divided by 6.
5
Let s(j) = -j**3 - 5*j**2 + 7*j + 8. Let n be s(-6). Suppose u + 4 = 2*v, 2*u - n*v + 28 = 7*u. What is the remainder when 10 is divided by u?
2
What is the remainder when 177 is divided by 10/(-4)*(3*-6 + 0)?
42
Let y = -27 + 47. Suppose -y = -z - 3*u, -u + 52 = 3*z - 0*u. What is the remainder when z is divided by 5?
2
Suppose -87 = -8*i + 3*i - 4*n, -3*i = -3*n - 36. Calculate the remainder when 56 is divided by i.
11
Let r(w) = -2*w**2 - 8*w + 11. What is the remainder when 2 is divided by r(-5)?
0
Suppose -5*d = -35 - 15. Suppose -4*q + 0 = 4. What is the remainder when q - -4 - d/(-2) is divided by 3?
2
Suppos