-414 - -398. Let p = n - i. What is the remainder when 11 is divided by p?
5
Let y = -45 - -103. Suppose 2*a + 3*s = y - 1, 0 = -2*a + 2*s + 82. What is the remainder when a is divided by 39/2 - (10 + (-95)/10)?
17
Calculate the remainder when (-1)/3 - (-722)/6 is divided by (29 - (3 - -3)) + 8.
27
Let j be 2 + 1 - 1*-13. Let w = -5 + -5. Let d = w + j. What is the remainder when 23 is divided by d?
5
Let o be (-4676)/6 - 18/27. What is the remainder when o/(-14) + (-3 - (-46)/14) is divided by 21?
14
Let i = 933 - 890. What is the remainder when 50 is divided by i?
7
Let c(k) = -k**2 + 11*k - 14. Let v = 1 - -8. What is the remainder when c(v) is divided by (-2)/(-4)*(-5 - -9)?
0
Suppose 4*x + 100 = 4*u, 3*x - 3*u + 98 = -x. Let k = -15 - x. Calculate the remainder when k is divided by 2.
0
Suppose -2*f - 3*f = n - 253, 0 = -5*n - 10. What is the remainder when f is divided by (-62)/217 + (410/14 - 2)?
24
Let t = 16 - 10. Let h(j) = -8*j**3 - 48*j - 47. What is the remainder when h(-1) is divided by t?
3
Let q(d) be the third derivative of -d**5/60 + 5*d**4/8 + 7*d**3 + 28*d**2. Calculate the remainder when q(17) is divided by 6.
2
Suppose 17*p - 925 = 4*d, 3*p - 129 = 16*d - 21*d. Suppose 0 = 2*j + j - 54. What is the remainder when p is divided by j?
17
Suppose -41*j + 27*j + 574 = 0. What is the remainder when 693 is divided by j?
37
Suppose -2*d + 11 - 5 = 0, -5*f = -3*d - 151. Calculate the remainder when f is divided by 12.
8
Calculate the remainder when 69 is divided by 2/(-16) - 3*1563/(-72).
4
Let y = 30 + -18. Let a(o) = 15*o - 85. What is the remainder when a(7) is divided by y?
8
Let d be 11/3 + (-2)/(-6). Suppose 0 = -2*t + 4*c - 408, d*t + 768 = 2*c - 6*c. What is the remainder when t/(-6) + 1/3 is divided by 9?
6
Suppose -3*p + 97 = -92. Suppose 0 = 4*a - 2 - 6. Calculate the remainder when p is divided by (-4)/(48/(-22) + a).
19
Let q = -12 - -12. Suppose q = g - 56 + 2. Let r = -24 - -43. Calculate the remainder when g is divided by r.
16
Suppose -d + 11 = f, 4*d = 11*f - 13*f + 44. Calculate the remainder when 153 is divided by d.
10
Suppose 3*r = 2*r + 61. Suppose 5*j = 34 + r. Suppose 5*n - 3*n - 148 = 0. Calculate the remainder when n is divided by j.
17
Suppose 64 = 2*q + 10. What is the remainder when 357 is divided by q?
6
Let l = 121 + 21. Suppose -4*r = -3*x - 204, -3*r + 8*x - 5*x = -156. What is the remainder when l is divided by r?
46
What is the remainder when ((-75)/(-45))/((-20)/(-6216)) is divided by 23?
12
Let j = 716 - 497. Calculate the remainder when j is divided by 76.
67
Suppose 4*z + 1302 - 70 = 2*v, -3*v + 1862 = z. Suppose 2*c + v = 4*w, -w + 73 + 71 = 5*c. Calculate the remainder when w is divided by 39.
37
Let h = 937 + -933. Let v = 22 - 6. Suppose 5*p - p = -4*m + v, 0 = -p + 3*m + 12. Calculate the remainder when p is divided by h.
2
Let s(t) = -t + 7. Let o be s(6). Let b(g) = 3*g - 1. Let a be b(o). Suppose a*q - 9 = 109. Calculate the remainder when q is divided by 15.
14
Suppose -3*f + 5*m = -581, 0 = -2*f + 3*m + 428 - 41. Let x = -97 + f. Calculate the remainder when x is divided by 24.
23
Let l = -28 - -8. Let d = l - -21. Calculate the remainder when (7 - -10)/(d + 0) is divided by 6.
5
Let b(u) = 4*u**3 - 4*u**2 - 6. Let y be b(4). Suppose -y = 2*w - 2. Calculate the remainder when -2 - (1*w)/4 is divided by 6.
3
Calculate the remainder when -178*((-44)/8 + 5) is divided by 10.
9
Let g = -23 - -442. Suppose -5*i + 49 + g = -3*v, i = -2*v + 104. Calculate the remainder when i is divided by 25.
21
Let t = 37 - 18. Suppose 7*x - 1 = 3*b + 49, 4*x - 2*b - 28 = 0. Calculate the remainder when t is divided by x.
3
Suppose z = 5*s + 21 + 10, 0 = 5*z + 2*s - 155. What is the remainder when z is divided by 34/8 + (-21)/(-28)?
1
Suppose 114 + 45 = 3*g. Calculate the remainder when g is divided by 22.
9
Suppose -4*g + 219 = -133. What is the remainder when g is divided by 20 - 1 - (2 + 4)?
10
Let k = -2518 - -2605. Suppose -18 = 2*r - 3*r. What is the remainder when k is divided by r?
15
Let m be (6/3 - 6) + 6. Let j(o) = 9*o + 5. Suppose 0*b + 4*b - 168 = 0. What is the remainder when b is divided by j(m)?
19
Suppose -3*k - 82 = 23. Suppose 0 = 2*s + u - 27, s + 0 = -4*u + 10. Calculate the remainder when (k/1)/((-4)/4) is divided by s.
7
Suppose -3*b + 12 + 7 = 2*l, 4*b - 56 = 5*l. Suppose -14*a + b = -11*a. Suppose -2*o - a*o = -215. What is the remainder when o is divided by 11?
10
Let i = 211 + -355. Calculate the remainder when 7*(-13)/(273/i) is divided by 13.
9
Suppose 4*v + 0*v = -8. Let x(n) be the second derivative of 7*n**4/12 - n**3/2 - 3*n**2/2 - 8*n. Calculate the remainder when 60 is divided by x(v).
29
Let c = 18 - 21. What is the remainder when c - -1 - (-19 + -1) is divided by 11?
7
Let l be -9*(16/12 - 1). Let d be 1*3 - (l + -14). What is the remainder when (-5)/(-2)*d - 4 is divided by 12?
10
Let l be 4*(0 - (0 - -3))/(-1). Suppose 0 = -r + l + 5. Calculate the remainder when 49 is divided by r.
15
Let j = -5 - -1. Let b be 0/(-1 + j - -4). Suppose -2*u + 93 = v, b = 4*u - 0*v - v - 177. What is the remainder when u is divided by 24?
21
Let b(y) = 10*y**2 - 28*y - 4. Calculate the remainder when b(6) is divided by 31.
2
Suppose -2*r + 4 = 24. Let j(t) = t**2 + 9*t - 9. Let v be j(r). What is the remainder when 19 is divided by 16/3 + v/(-3)?
4
Suppose 3*d = 8 + 19. Suppose 0*t = -4*w - t + 127, 0 = -3*t + d. Calculate the remainder when w is divided by 0 + (0 - 22/(-2)).
9
Let y = -6 + 7. Suppose 23 + 16 = 3*i - 2*k, 4*i - 3*k = 53. Calculate the remainder when i is divided by (10/(-25))/(y/(-15)).
5
Suppose 10 = 4*o + 2*k - 34, o + 2*k = 5. Calculate the remainder when (5 - 12) + 59 + 2/(-2) is divided by o.
12
Suppose -n = 3*n - 48. Let l = 356 + -312. Calculate the remainder when l is divided by n.
8
Suppose s = -4*i + 14, 3*s - s - 48 = 2*i. Calculate the remainder when 4 - (-52)/(-8)*-6 is divided by s.
21
Suppose 4*c - 43 = -2*j - 13, -3*j - 21 = -5*c. Let z = 862 - 849. Calculate the remainder when z is divided by c.
1
What is the remainder when (-3)/(-2)*1*18 is divided by (-265)/(-25) + 51/(-85)?
7
Suppose 30 = 4*u - 398. What is the remainder when 210 is divided by u?
103
Let r(l) = 6*l**2 - 2*l + 1. Suppose -2*s = 5 + 1, 4*o + 129 = 5*s. Let n = o - -51. What is the remainder when r(-2) is divided by n?
14
Let x(f) = 15*f**3 - 3*f**2 + 4*f - 5. Let a be x(3). Suppose 0 = -13*o + 8*o + a. Calculate the remainder when o is divided by 26.
25
Calculate the remainder when ((-184)/(-20) + -9)/(1/2605) is divided by 75.
71
Suppose -27*i + 796 - 121 = 0. Calculate the remainder when 47 is divided by i.
22
Suppose 0 = w + z - 4, z = 2*w - 3 - 8. Suppose 2*p - 4*j + 20 = 6*p, -2*j + 40 = w*p. Suppose 23 + p = 3*a. What is the remainder when 53 is divided by a?
9
Calculate the remainder when (1 - 3/2)/((-168)/3696) is divided by 1.
0
Let j = -348 + 452. What is the remainder when j is divided by 31?
11
Suppose 0 = -5*m + 2*g + 13, 0*g = -2*g - 8. Let n(c) = -2*c + 3*c**2 + c + c**2. What is the remainder when 11 is divided by n(m)?
2
Suppose 0 = 4*s + 7 - 23. Suppose 7 = z - s. Suppose 1 + 42 = j + 3*o, 4*j = 2*o + 116. Calculate the remainder when j is divided by z.
9
Let c(x) = x**3 - 3*x**2 - 24*x + 89. What is the remainder when 568 is divided by c(5)?
17
Suppose 12 = -6*v + 126. Let s = -125 + 347. Suppose -s = -7*x + 4*x. What is the remainder when x is divided by v?
17
Suppose -202 - 314 = -6*a. What is the remainder when a is divided by 34?
18
Suppose h - 4 + 0 = 0. Suppose -4*j = -h*q + 192, -4*j + 108 = -0*q + 2*q. What is the remainder when 197 is divided by q?
47
Let a(p) = 5*p - 45. What is the remainder when 159 is divided by a(18)?
24
Suppose -3*h - 54 = -4*h - 5*k, -h = 4*k - 51. Suppose -x = 3*b - 59, 138 - 49 = 5*b + 4*x. What is the remainder when h is divided by b?
18
Suppose 4*u = z + 192, -3*u + 72 = 5*z - 49. Calculate the remainder when u is divided by 16.
15
Let k(l) = -l**3 + 5*l**2 + 19*l - 7. Let s(x) = 9*x**2 + x - 1. What is the remainder when k(6) is divided by s(2)?
34
Suppose -3*l = -2*f + f + 85, -3*f = -3*l - 81. Let t = 43 + l. What is the remainder when 53 is divided by t?
11
Suppose -2*m = -0*m - 14. Suppose -5*s = -2*h - 73, 3*s - m 