t. Suppose 2*h = 3*f - 68, -5*f + t*h + 114 = -0. What is the remainder when f is divided by 8 - 1/((-1)/(1 + 0))?
6
Let a = 70 + 63. What is the remainder when a is divided by 39?
16
Let v be (-2 - 2/(-2))*(-7 - -2). Suppose 9*m - 48 = v*m. What is the remainder when 45 is divided by m?
9
Let o = -272 + 385. What is the remainder when o is divided by 33?
14
Suppose d - 3*b - 42 = 0, -2*d + 5*d + 4*b = 61. Let w = d + -7. Let o = 1456 + -1449. Calculate the remainder when w is divided by o.
6
Let z = -82 - -118. Suppose j - 41 + z = 0. What is the remainder when 18 is divided by j?
3
Suppose 12 = -7*d - 16. Suppose 12 = -n + 5*x, n - 2*x = -0*x + 3. Calculate the remainder when (-2)/((-2)/27) + d is divided by n.
10
Suppose -19*y = -21*y - 4. Let i(q) = 10*q**2 + 5*q + 4. Let r(z) = z**2 - z + 18. Calculate the remainder when i(y) is divided by r(0).
16
Suppose 4*u + 5*o = 48, 2*u + 3*o - 36 = -10. Let b(z) = z**3 + 17*z**2 + 11*z - 39. What is the remainder when b(-16) is divided by u?
6
Suppose -7*d + 908 - 26 = 0. What is the remainder when d is divided by 34?
24
Let g(p) be the second derivative of p**5/10 - p**4 + p**3/6 + 3*p**2/2 + 6*p. Calculate the remainder when 33 is divided by g(6).
6
Let z be 5 - (-6 - (-3 - -1)). Suppose z*f = 10*f - 14. What is the remainder when 55 is divided by f?
13
Suppose 10 - 790 = -30*l. What is the remainder when 96 is divided by l?
18
Let v be 13 + -3 + (-2 - 0). Suppose 2*s + v = 16. Calculate the remainder when 12 is divided by s.
0
Suppose -3*z + 215 = 4*b, 6*z + 3*b = 4*z + 145. What is the remainder when z is divided by 61?
4
Let c be (4*3)/2 - 3. Suppose 0 = 3*l + 36 - c. Let o = 15 + l. Calculate the remainder when 9 is divided by o.
1
Let b(i) = -3*i - 12. Calculate the remainder when b(-11) is divided by 4.
1
What is the remainder when 17 is divided by 17 - (-69 + 6)/(-9)?
7
Suppose -30 = -2*b + 12. Suppose h - 33 = 48. Calculate the remainder when h is divided by b.
18
Suppose 11*o - 10*o - 16 = 0. Let t = -7 + o. Calculate the remainder when 34 is divided by t.
7
Let s(g) = 7*g + 18. Let c be s(-3). Let x(n) = -n**3 - n**2 - n + 2. Calculate the remainder when x(c) is divided by 13.
10
Let f(a) = -51*a + 2. What is the remainder when f(-2) is divided by 35?
34
Calculate the remainder when 8 - 80/8 - (-1 - 82) is divided by 17.
13
Suppose 3*s + 4 = 4*g, -g + 34 = 5*s + 10. Suppose 5*w + 3 = -2*u + 4, 0 = 5*u - s*w - 52. What is the remainder when 23 is divided by u?
7
Let j = -422 - -434. Calculate the remainder when j is divided by 4.
0
Suppose -v = -4*b - 17, 0 = -3*v + b - 11 + 95. Suppose 28*x = v*x - 11. Calculate the remainder when x is divided by 6.
5
Let h be -2 + ((-2)/9 - 1100/(-9)). Suppose -2*f = -0*f + 164. Let l = h + f. Calculate the remainder when l is divided by 20.
18
Let j = -122 - -124. What is the remainder when j/(-14) + 379/7 is divided by 5?
4
Let f(h) = h. Let c(n) = -n**2 + 21*n - 9. Let x(t) = -c(t) + 6*f(t). Calculate the remainder when x(18) is divided by 32.
31
Let t = -626 + 878. Let a(x) = x**3 - 34*x**2 + 68*x - 64. What is the remainder when t is divided by a(32)?
60
Let x(g) = g**3 - 6*g - 9. What is the remainder when 119 is divided by x(4)?
26
Suppose -3*y = -n - 42, 3*y + 7*n = 5*n + 42. Let s = 109 - 68. Calculate the remainder when s is divided by y.
13
Suppose -111*k + 41 = -110*k. Calculate the remainder when k is divided by 12.
5
Let q = 367 - 355. Calculate the remainder when 70 is divided by q.
10
Suppose 10*f + 590 = q + 12*f, -2*q - 3*f + 1182 = 0. Calculate the remainder when q is divided by 13.
9
Let x = 1404 + -1397. What is the remainder when 8 is divided by x?
1
Let k = 20 + -9. Calculate the remainder when 496/10 + 10/25 is divided by k.
6
Suppose s - 4 = 0, -5*b - 16 = -s - 82. Let m = 57 + -3. Calculate the remainder when m is divided by b.
12
Let d(u) = 2*u**3 - 1. Let q be d(-1). Let l = q + 24. Calculate the remainder when 40 is divided by l.
19
Suppose -3*r = 8 - 26. Suppose 7*s = -4*s + 308. What is the remainder when s is divided by r?
4
Let v = 533 + -310. Suppose -5*h + 37 + v = 0. What is the remainder when h - (-1 - (-6 - -3)) is divided by 17?
16
Suppose 2*t = 70 - 38. Suppose -203 - 173 = -4*i. What is the remainder when i is divided by t?
14
Let j(h) = -2 + 2*h + 3 + h + 2*h**2 + h**3. Let t(z) = -z**2 - 1. Let w(o) = -j(o) + 6*t(o). What is the remainder when 32 is divided by w(-8)?
15
Suppose n - 6*n = -440. Let f = n - 61. Let k = -15 + f. Calculate the remainder when 21 is divided by k.
9
What is the remainder when 455 is divided by (-826)/(-21) - (-8)/(-6)?
37
Let m(o) = -o**2 - 2*o + 6. What is the remainder when 1*(-15)/(-3) - -1 is divided by m(-3)?
0
Let w = 25 - -1. Suppose 4*s - w = -10. What is the remainder when 14 is divided by s?
2
Let i(a) = -2*a**3 + 5*a**2 + 6*a - 10. Let k be i(4). Let v = k - -40. What is the remainder when 20 is divided by v?
2
Let k = 213 + -76. Let a = -178 + 105. Let t = k + a. Calculate the remainder when t is divided by 13.
12
Suppose -3*w - 87 = 3*m, 4*m = -2*w + w - 23. Let p = w + 39. Let z = 15 - -6. What is the remainder when z is divided by p?
5
Let k = 17 + -22. Let l = -3 - k. Calculate the remainder when 23 is divided by 765/63 - l/14.
11
Suppose 16*p + 73 - 489 = 0. What is the remainder when 361 is divided by p?
23
Calculate the remainder when 127 is divided by 2/((-5)/315*-6).
1
Let i(c) = 3 - 5 + 0*c + 1 - c. Let y be i(-6). Suppose 4*j = y*j - 12. What is the remainder when j is divided by 5?
2
Suppose -48 = -z + 3*v, -4*z - 3*v + 50 = -127. What is the remainder when z is divided by (390/35 - 6)/(6/28)?
21
Calculate the remainder when 81 is divided by 54 - (-17)/((-102)/36).
33
Suppose 224 = 5*r - 996. What is the remainder when r is divided by 66?
46
Suppose -5*c - 3*i - 53 = -11, 0 = 5*c - 5*i + 50. Let u = -10 - c. Calculate the remainder when 3 is divided by u*2/5*-5.
1
Let d = -60 - -38. Let n = -4 - -42. Let x = d + n. What is the remainder when x is divided by 6?
4
Suppose -1 - 50 = -3*g. What is the remainder when (-5)/(-20) - (-263)/4 is divided by g?
15
Suppose u - 2*h = 18, -4*u = 4*h - 4 - 128. Suppose u = 2*p - l, 0 = p + p - 5*l - 28. Suppose 64 = 3*f - p. Calculate the remainder when f is divided by 9.
8
Let t(x) = x**3 + x**2 + 2*x + 3. Let l be t(-2). Let f(h) = h**3 + 5*h**2 + 4. Let g be f(l). What is the remainder when (g - -1)*(-28)/(-20) is divided by 5?
2
Suppose -5*z + 4*t + t = -105, 2*t = 5*z - 90. Let y be 1/4 - 6/(-8). Calculate the remainder when -2*(-13 - y) + 3 is divided by z.
15
Let j = -731 - -742. What is the remainder when 614 is divided by j?
9
Let s = -109 + 130. What is the remainder when 78 is divided by s?
15
Let j = 7 + 38. Suppose -4*c = c + 95. Let k = c + 31. What is the remainder when j is divided by k?
9
Let z(j) = 85*j**2 - 6*j + 8. What is the remainder when 691 is divided by z(1)?
82
Let j = -479 + 554. Suppose 0 = z - 2*z + 20. What is the remainder when j is divided by z?
15
Suppose -y - n + 75 = 0, -5*n = -2*y + 121 + 22. Suppose -32 = -0*b + 2*b. Calculate the remainder when y is divided by ((-4)/6)/(b/456).
17
Let z(y) = -3*y + 53. Let n be z(27). Calculate the remainder when 80 is divided by (n*4/(-8))/1.
10
Calculate the remainder when 87 is divided by (-63 - -30)/(3/(-2)).
21
Let p(g) = -5*g + 14. Let h be p(-11). Suppose -5*u = -3*s + 161, -300 = -5*s - u - h. Calculate the remainder when s is divided by 12.
11
Let a be 36 - ((4 - 6) + 2/1). Suppose 0 = 2*w - a + 2. What is the remainder when 31 is divided by w?
14
Let u(m) = -180*m + 8. What is the remainder when u(-1) is divided by 38?
36
Suppose 0 = -2*q - 0 + 2. Suppose 3*f + g - 17 = 0, -f - q = -2*f + 2*g. What is the remainder when (f/(-2))/((-2)/28) is divided by 12?
11
Let g(n) = -7*n + 36. What is the remainder when 12 is divided by g(4)?
4
Let n(o) = o**2 + 11*o - 69. What is the remainder when 19 is divided by n(5)?
8
Let g be (-8 + 6 + -1)*(-10)/(-3). Let u = 4 - -18. Let t = u + g. Calculate the remainder when 45 is divided by t.
9
Let n(f) = 7*f + 40. Calculate the remainder when 71 is divided by n(-4).
11
Let j = -781 + 862. What is the remainder when j is divided by 47?
34
Suppose 3*k - 141 = -3*w + 69, -146 = -2*w - 5*k. Calculate the rema