hen (-24)/(1/3 + (-18 - (-14760)/837)) is divided by 107.
102
Suppose -17*j + 96 = -176. Suppose -h + j = -42. What is the remainder when 405 is divided by h?
57
Let n be ((-4)/3)/(2*(-5)/15). Suppose n*q + 4*d - 30 = d, -3*q = 5*d - 47. Let a(f) = f**2 + 3*f + 4. Calculate the remainder when q is divided by a(0).
1
Let y be (-6)/(-30) + (-3)/((-15)/1169). Suppose 5*m - y = -154. What is the remainder when (-2 - -113) + (0 - 0) is divided by m?
15
Let k(x) = -4*x - 112. Let o be k(-22). Calculate the remainder when 42 is divided by 3 - 12*(-4)/o*-4.
9
Let n = 12968 - 12937. Calculate the remainder when 662 is divided by n.
11
Let v(l) = -364*l + 28085. Suppose 0 = -5*b - 5*o + o + 150, 0 = -5*b - o + 150. Calculate the remainder when v(77) is divided by b.
27
Let a be -3 + 8 - (-4 - -7). Suppose 0 = -5*t - 1 - 24, -77 = -a*z + 5*t. What is the remainder when 206 is divided by z?
24
Let v = 224 + -182. Suppose -44*c + 486 = -v. Calculate the remainder when 132 is divided by c.
0
What is the remainder when 459 is divided by (45/(-27))/(30/(-1188))?
63
Let c(p) = -49*p + 171. Let y be c(13). Calculate the remainder when y/(-5) - (-45)/(-225) is divided by 84.
9
Suppose 2204*h - 2178*h = 988. What is the remainder when h is divided by (-2 - -3)*8*2?
6
Suppose -t + 104 = 5*u, -3*u + 211 = 5*t - 199. What is the remainder when 462 is divided by t?
67
Let u = -9 + 30. Let y = 91 + 9. Calculate the remainder when y is divided by u.
16
Let c = 288 + -255. Let d(n) = n**3 + 4*n**2 + 1. Suppose b = -a + 3, -3*b - 5*a + 9 = -0*a. Calculate the remainder when d(b) is divided by c.
31
Let l(m) = m**3 - 53*m**2 + 2*m + 75. What is the remainder when 1999 is divided by l(53)?
8
Suppose 0 = -4*w - 224 + 1188. What is the remainder when w is divided by 47?
6
Suppose -3*a - 383 = -2*v, 0 = -2*a + v - 133 - 122. Let d = -118 - a. What is the remainder when 17 is divided by d?
8
Let x = 534 - 510. What is the remainder when 5591 is divided by x?
23
Let q = 23 - 28. Let h = 1 - q. Calculate the remainder when 41 is divided by h.
5
Suppose 0 = -r + 38 - 34. Suppose 5*g = -r*n + 9*n + 65, -4*g + 16 = -n. Let a = 41 + n. Calculate the remainder when 83 is divided by a.
25
Let v = -562 - -165. Let i = v + 405. What is the remainder when 36 is divided by i?
4
What is the remainder when 2398 is divided by 15*(-5 - 49/(-14))*320/(-36)?
198
Suppose 825 = 38*o - 1493. Let r = 77 - 18. Let u = o - r. What is the remainder when 5 is divided by u?
1
Suppose -3*y - 4583 + 24548 = 30*y. Calculate the remainder when y is divided by 55.
0
Suppose -2*q + 0*q + 46 = 0. Suppose o + 5*k - 146 = 0, 9*k = -2*o + 7*k + 276. Calculate the remainder when o is divided by (q/(-2))/(1/(-2)).
21
Let w(q) = 5*q + 1. Let j(f) = 2*f**2 - 14*f + 7. Let v be j(7). Let u be w(v). Let s = u + 10. Calculate the remainder when s is divided by 7.
4
Suppose -s = 3*c - 196, 38 = c - 4*s - 36. Let g = -52 + c. Calculate the remainder when 0 - (0 + 7*-13) is divided by g.
7
Suppose 4*k - 4*m = 28, 4*m = -k - m - 5. Suppose 3*t = -5*i + 32, 2*t = k*t + 2*i - 47. Let f = -71 + 146. Calculate the remainder when f is divided by t.
18
Let g = -5463 + 6301. Calculate the remainder when g is divided by 105.
103
Let u = -80 - -94. Suppose u + 6 = 2*a. Calculate the remainder when 54 is divided by a.
4
Suppose 0 = 9*l - 25*l - 27*l. Suppose 4*q - 23 = -b, 3*b - 5*q - 23 + 22 = l. Let s = -68 - -116. Calculate the remainder when s is divided by b.
6
Let t be 21/(-9) + 8/(-12). Let f(k) = -k**2 - 1. Let d be f(t). What is the remainder when 22 is divided by (-368)/(-26) + d/65?
8
Let k(j) = j**2 - 5*j + 4. Let g be k(5). Calculate the remainder when -1 - -2 - g - -49 is divided by (-1)/((8/(-14))/4).
4
Suppose 8*c + m = 3*c + 767, 5*m = 35. Calculate the remainder when 312 is divided by c.
8
Let i = -383 + 429. Suppose 4*l = g - i, 6*g - 2*l - 110 = 4*g. Calculate the remainder when g is divided by 32.
26
Suppose 0 = -2*f - 2*f + 1756. Let v(x) = 3*x**2 - 15*x + 40. What is the remainder when f is divided by v(3)?
21
Let d(i) = i**2 - 9*i - 24. Let x be d(11). Let c(h) be the second derivative of -h**3/6 + h**2/2 - 22*h. Calculate the remainder when 22 is divided by c(x).
1
Suppose 5*i + 893 = -4*f + 2233, -f = -5. Let u = -238 + i. Let d = 6 - -10. What is the remainder when u is divided by d?
10
Let n(y) = 15*y - 270 + 20*y**2 + 268 + 25*y**2. Calculate the remainder when n(2) is divided by 70.
68
Calculate the remainder when (-885)/(-118)*(-6)/(-10)*5528/6 is divided by 2068.
10
Let b = 62 - 36. Let d(p) be the first derivative of 3*p**2/2 - 54*p + 40. Calculate the remainder when b is divided by d(23).
11
Let q = 4704 + -4566. Calculate the remainder when 5933 is divided by q.
137
Let m be (-1 - -3)/(18/(-585)). Suppose 0*a + 4*a = -108. Let v = a - m. Calculate the remainder when 150 is divided by v.
36
Let f = 29 - -13. Let m = f - 23. Suppose -n + 4*r = -73, 0 = -4*n - 2*r + 138 + 154. What is the remainder when n is divided by m?
16
Calculate the remainder when 22/10 + (20 - (-2020)/(-100)) + 439 is divided by 30.
21
Let r(c) = -4*c + 136. Let l be r(10). Let z(j) = -2*j**3 - 5*j**2 - 6*j. Calculate the remainder when z(-5) is divided by (-311)/(-8) - (-12)/l.
38
Calculate the remainder when 1223 is divided by (-1*(8 + -3))/((-7036)/(-1176) + -6).
47
Let x(c) = -c + 28. Let d be x(28). Suppose d = -12*o + 51 + 153. What is the remainder when 99 is divided by o?
14
Let p(t) = -t**3 + 6*t**2 - 9*t + 20. Let h be p(5). Suppose -4*n + 5*i + 5 = h, 3*i - 19 = -3*n + n. What is the remainder when 33 is divided by n?
3
Let x(n) = -n**2 + 126*n - 3771. Calculate the remainder when 577 is divided by x(72).
109
Suppose 23*y + 850 + 466 = 30*y. What is the remainder when 365 is divided by y?
177
Let h(b) = b**3 + 5*b**2 - 3*b + 18. Let s be h(-6). Suppose s*v = -2*m + v + 55, -3*m + v = -84. What is the remainder when m is divided by 15?
14
Let q = -7526 - -7573. Suppose 2*d = -8, -y = -2*y + 5*d + 168. Calculate the remainder when y is divided by q.
7
Let u(x) = -44 - 5*x + 3*x - 2*x - 10*x. Suppose -5*l + 450 = 3*n, -322 = -2*n - 0*l + 4*l. What is the remainder when n is divided by u(-6)?
35
Suppose 2*d + 3*h - 57 = 0, 4*h - 92 + 32 = -2*d. Suppose -2*t - 3 - 25 = 0. Let w = 23 + t. What is the remainder when d is divided by w?
6
Suppose 265*w - 300*w + 9135 = 0. Calculate the remainder when w is divided by 318/4*(-22)/(-33).
49
Suppose -n + 3*v = -1419, 5*v = -n - 1839 + 3234. Calculate the remainder when n is divided by 69.
30
Suppose -215 = -5*b - 250, 3*b = -5*p + 609. Calculate the remainder when 290 is divided by p.
38
Let h(d) = 2*d**2 + 8*d + 6. Let j be h(-4). Let x(m) = 0*m**3 + j*m**3 - 1 - m + m**2 + 3 - 3*m**2. What is the remainder when 17 is divided by x(1)?
2
Let j be 10/(0/(-1) - 2). Let d be 633/3*(6 + j). Suppose 10*s - d = 39. What is the remainder when 148 is divided by s?
23
Suppose 0 = -3*n + d + 3796, 9449 = 19*n + 5*d - 14649. Calculate the remainder when n is divided by 67.
61
Suppose -16*v = 3*z - 19*v - 216, -15 = -5*v. What is the remainder when 449 is divided by z?
74
Let w(x) = 169*x**2 - 59*x - 60. What is the remainder when w(-1) is divided by 3?
0
Suppose 254*j - 54*j + 89108 = 406508. What is the remainder when j is divided by 3?
0
Let s(a) = 40*a - 18. Let c be s(1). Suppose 0 = -3*w + 4*k + 42, w - 5*k + k = c. Calculate the remainder when 57 is divided by w.
7
Suppose 0 = 544*b - 56613 - 8419 - 28536. What is the remainder when 276 is divided by b?
104
Let i = -3774 + 3982. Calculate the remainder when i is divided by 14.
12
Let f = -22520 + 22689. What is the remainder when 632 is divided by f?
125
Suppose 0 = 5*l + 191 - 491. Let y(g) = -7*g + 9. Let d be y(1). Calculate the remainder when l is divided by d/4*(6 - -26).
12
Let q(p) = 23*p - 147. What is the remainder when q(15) is divided by 41?
34
Suppose -35*i + 111*i + 18010 = 66954. Calculate the remainder when i is divided by 212.
8
Suppose -2929*w - 3*p = -2932*w + 630, -4*p = 4*w - 816. What is the remainder when w is divided by (-16)/(-3) - (-2)/3?
3
Let q = 2798 - 2120. Calculate the remainder when q is divided by 76.
70
Suppose 0*g + 4728 = 2*g + 10*g. What is the remainder when g is divided by 233?
161
Suppose -1