 when 4/10 - 133/(-5) is divided by m(d).
6
Let z(g) = 10*g**2 - g. Let n be 1*-1*0/(-12). Suppose 5*j - r - 79 = n, -3*r - 37 + 10 = -j. What is the remainder when j is divided by z(1)?
6
Let z(d) = -87*d + 67. Let x be z(-3). Suppose -5*m + 25 = 2*k - 398, -x = -4*m + k. What is the remainder when 911 is divided by m?
81
Suppose -384*w + 379*w - 3*k = -146, -4*w + 96 = 5*k. Let q be 13*(-2 - (0 + 0)). Let z = 39 + q. Calculate the remainder when w is divided by z.
8
Suppose -3*s + 8*i + 282 = 9*i, 5*s + 3*i = 470. Calculate the remainder when s is divided by 39.
16
Let i(u) = 3*u**2 + 10*u + 1. Let v(s) = 14*s**2 - 91*s - 36. Calculate the remainder when i(-8) is divided by v(7).
9
Let v = -2103 + 2116. What is the remainder when 83 is divided by v?
5
Let u(i) be the third derivative of i**4/24 + i**3/6 + 3*i**2. Calculate the remainder when u(4) is divided by (9 - 1) + (7 - -3) + -13.
0
Let l(k) = k**3 - 4*k**2 - 6*k + 3. Let j be l(5). Let m be j/(-4)*3/(9/246). Let x = 50 - m. Calculate the remainder when 35 is divided by x.
8
Suppose 0 = -44*o - 57*o + 126*o - 375. Suppose -366 = -5*s - 96. Calculate the remainder when s is divided by o.
9
Suppose -4*g = -94 - 246. Calculate the remainder when (343 - -5) + (-101 + -7)/9 is divided by g.
81
Calculate the remainder when 574 is divided by (-17 + 221)/((-1)/((-10)/15)).
30
Let i = 1568 + -1549. Let l = 2 + 31. Calculate the remainder when l is divided by i.
14
Let l(s) = -s**3 + 7*s + 10. Suppose -5*d - f = 23, -11 = 3*d + 2*d - 3*f. What is the remainder when l(d) is divided by 11?
2
Let c(l) = l**2 - 8*l - 6. Suppose -8*z = -2*z + 24. What is the remainder when 1/(-1) + (-36)/z is divided by c(9)?
2
Suppose u = 3*i - 59, -60*i - u = -64*i + 81. Let n(c) = -c**3 - 6*c**2 - 8*c - 8. Calculate the remainder when n(-6) is divided by i.
18
Let o be (-17 - 1)*56/(-42). Suppose -4*t - 76 = -4*u, -2*u - 4*t + o = -2. Calculate the remainder when 47 is divided by u.
13
Suppose 46*q - 37*q = 83*q - 296. Suppose 2*g - 4*g + 3*f = 10, -6 = 5*g + 2*f. Let a = 10 - g. What is the remainder when a is divided by q?
0
Let f(n) = -n**3 - 10*n**2 - 38*n - 258. What is the remainder when 101 is divided by f(-9)?
2
Let b(m) = -81*m + 53. Calculate the remainder when b(-23) is divided by 16.
12
Suppose 5*g + 32 = 2*c, -9*g + 15 = -4*g + 35. What is the remainder when (-354)/(-4) + (-6)/12 is divided by c?
4
Let y(s) = 38*s - 3. Let x be 10/(-20)*(0 - (-2 + 2)). Let d = x - -26. What is the remainder when y(2) is divided by d?
21
What is the remainder when 36422 is divided by -19 - (-3 - (23 + 20))?
26
Let o(r) = -7*r + 6. Let v(m) = -m. Let n(a) = o(a) - 2*v(a). Let h be n(-6). Calculate the remainder when (-2)/(-4) - (-1170)/h is divided by 18.
15
Let i(y) = -y + 1. Let s be i(5). Calculate the remainder when ((-44)/(-6))/(s/(-42)) is divided by ((-775320)/(-540))/71 + 4/(-18).
17
Let y be (-13)/26 + (-26)/4. Let t = 21 + y. Suppose 312 = 4*m - 3*k, 0 = 3*m - 2*k - 318 + 83. Calculate the remainder when m is divided by t.
11
Let s = 153 - 84. Suppose -5*w + 99 = 4*h, w - 6*w = -4*h + s. Calculate the remainder when 377 is divided by h.
20
Suppose 0 = 4*o - 6*o + 420. Let s = o + -115. Suppose s = 10*p - 9*p. Calculate the remainder when p is divided by 24.
23
Let i(b) = -2*b**2 - 62*b - 7. Let j be i(-31). Calculate the remainder when 141 is divided by ((-54)/7)/6*j.
6
Suppose t - 17*t + 3533 = -24131. What is the remainder when t is divided by 173?
172
Let k(v) = -4*v + 64. Let h be k(16). Suppose 4*q - 4*n - 80 - 28 = h, 5*n + 20 = 0. What is the remainder when q is divided by 2?
1
Let w be -171*(10/(-20))/((-1)/2). Let j = 326 + w. Calculate the remainder when j is divided by 39.
38
Let p = 1483 + -1481. Calculate the remainder when 12 is divided by p.
0
Let y = 62 + -62. Let t = y - -10. Suppose 4*j + 960 = t*j. What is the remainder when j is divided by 54?
52
Let p(y) = 23*y**2 + 95. Let g be p(-8). Suppose 17*k = g + 609. Calculate the remainder when k is divided by 47.
34
What is the remainder when (385 - 43)*4*10/16 is divided by 148?
115
Suppose -22*o = -301*o - 501882 + 2343003. What is the remainder when o is divided by 55?
54
Let h = 7242 - 6029. What is the remainder when h is divided by 14?
9
Let v(b) = b**3 + 4*b**2 - 15*b - 2. Let h be v(-6). Suppose 3*j + 5*i - 77 = h, -j = -5*i - 11. What is the remainder when j is divided by 2?
0
Let d(z) = z**3 - 7*z**2 - 11*z - 15. Let l be d(9). Let b = 41 + l. Let y(j) = -j**3 - 10*j**2 + 23*j + 11. What is the remainder when b is divided by y(-12)?
20
Let x = 30 + -8. Suppose -j - 6 = -x. Suppose -10 = 3*s - 5*f - 259, -180 = -2*s + f. What is the remainder when s is divided by j?
13
Suppose -4*h - 20 = 0, 28 + 63 = 2*l - 3*h. Calculate the remainder when l is divided by (6 + 39)/3 - 5.
8
Let b(a) = a**2 - 4*a + 13. Let u be b(3). Suppose u*s - 11*s = -3*w + 7, 5*s - 33 = -2*w. Calculate the remainder when s is divided by 2.
1
Suppose 5*d + w = 650, 65 = d - 4*w - 65. Suppose 3 = 3*h, -5*y = -3*h + 8*h - 1540. Let q = -274 + y. What is the remainder when d is divided by q?
31
Suppose -3*v + 0 + 9 = 0. Suppose -v*d + 145 = -137. Suppose 0*h + d = 2*h. What is the remainder when h is divided by 24?
23
Let t be -4491*4/(-66) - 2/11. Let b = t + -231. Calculate the remainder when 66 is divided by b.
25
Suppose -n + 0*n + 5 = 0. Let u = -2828 - -3005. What is the remainder when u is divided by n?
2
Let f(c) = -22*c - 14. Let v(b) = 22*b + 14. Let j(y) = -4*f(y) - 5*v(y). Let i be j(5). Calculate the remainder when 28 is divided by i/(-8) - 2/4.
13
Suppose -5*y + 67 = 4*l, -24*l + 31*l - 46 = -5*y. What is the remainder when 238 is divided by y?
10
Let b(h) = -h + 18. Calculate the remainder when b(1) is divided by 42/98 + (-78)/(-14).
5
What is the remainder when 407376/234 - 26/(-338) is divided by 135?
121
Suppose -1820 = 6541*x - 6606*x. Calculate the remainder when 1 + 0 - -39 - 0 is divided by x.
12
Suppose -67*w - 3994 = -15116. Calculate the remainder when 463 is divided by w.
131
Let b = -78 + -134. Let s = 308 + b. What is the remainder when s is divided by 17?
11
Let o(q) = 48*q + 496. Calculate the remainder when 12973 is divided by o(-10).
13
Let i(x) = -3*x**2 - 2*x - 1. Let l be i(-1). Let c be l + 4 + (-4 - -4). What is the remainder when c/(-1) + 20 + -3 + 4 is divided by 11?
8
Suppose 0 = -15*g + 265 + 376 - 176. Suppose 4*r - 15 - 1 = 0. Calculate the remainder when g is divided by r.
3
Let a(u) be the second derivative of -8*u**3 + 27*u**2/2 - 2*u + 3. Calculate the remainder when a(-6) is divided by 53.
50
Suppose 124*c - 455 = 119*c + 5*r, -3*c - 4*r + 217 = 0. What is the remainder when c is divided by 61?
22
Let y = 14000 - 13847. Calculate the remainder when 220 is divided by y.
67
Let o(k) = 111*k - 1429. Calculate the remainder when 683 is divided by o(13).
11
Suppose -2*p - 10 = -2*q, -5*p + 4*q + 0 = 30. Let v = 26 - p. Suppose 4*b - l - v = 11, 20 = 4*l. What is the remainder when 49 is divided by b?
10
Let l(o) = 13*o**2 + 22*o + 52. Let n = -343 + 367. What is the remainder when l(-3) is divided by n?
7
Suppose -199 = -2*x - 191. Suppose 4*g = 4*y + 5*g - 732, 0 = -3*y - x*g + 536. What is the remainder when y is divided by 37?
36
Let i = -4 - -33. Suppose -95*f + 1799 = -88*f. Calculate the remainder when f is divided by i.
25
Suppose -2*o = 3*b - 0*o - 677, 5*b - o = 1150. Calculate the remainder when b is divided by 41.
24
Suppose 4*i - 2*j - 63 = -5*j, -i = j - 17. Let p(g) = -4*g + 1. Let a(r) = 2*r - 3. Let s be a(1). What is the remainder when i is divided by p(s)?
2
Suppose -4*k + 2*f + 64 = -44, -4*k = -f - 116. Calculate the remainder when 1860 is divided by k.
0
Let t be (3 + -2)/((65/(-15))/(-13)). Suppose t*c + 3*q - 56 = 19, 4*c + q = 115. What is the remainder when 442 is divided by c?
22
Suppose 0 = 365*x - 427*x + 2108. Calculate the remainder when 220 is divided by x.
16
What is the remainder when 64900/108 + 18/243 + -5 is divided by 8?
4
Let p(w) be the second derivative of w**3/3 + 17*w**2/2 - 6*w. Let k be p(-6). What is the remainder when 72*((-5)/25)/((-2)/k) is divided by 13?
10
Let k(y) be the second derivative of y**5/20 - 7*y**4/3 - 29*y**3/3 - 27*y**2/2 + 7*y + 3. What is the remainder when 61