 divided by t.
1
Let r = 422 + -179. Let u be 4/16 + (-34)/8. Calculate the remainder when r is divided by 1/((-327)/(-420) - (-3)/u).
33
Suppose -58*d = 266 - 1484. Calculate the remainder when 521 is divided by d.
17
Let q = 188 + -110. Let l be 407/(-15) + 5/(450/12). Let v = -18 - l. What is the remainder when q is divided by v?
6
Suppose 0 = 40*g - 37*g - c - 194, -g - 4*c = -82. Calculate the remainder when 785 is divided by g.
59
Let f(k) = k**2 + k + 104. What is the remainder when f(-16) is divided by 70?
64
Suppose 1705 = -14*h - 17*h. Calculate the remainder when 6 - (h + (2 - 0)) is divided by 10.
9
Let x(z) = 268*z**2 - 525*z - 3156. Calculate the remainder when x(-6) is divided by 371.
367
Suppose -2*g - 349 - 394 = -3*u, 12*g = 4*u - 1028. Calculate the remainder when 509 is divided by u.
19
Suppose s = 4*l + 69, 3*l - 5*l = 5*s - 235. Let f = s - 44. Suppose -3*v - 46 = -3*b + 2*v, v + 40 = f*b. What is the remainder when 17 is divided by b?
3
Suppose -57*c + 50 = -47*c. Suppose 0 = -5*o - 26 + 1, 4*r - c*o - 345 = 0. Calculate the remainder when r is divided by 17.
12
Suppose -5*u - 3*i = -1916, -15*u = -16*u + 2*i + 404. What is the remainder when u is divided by 157?
74
Suppose -s = -6*s + 2*w + 54, 2 = -w. Let i(n) = 7*n - 70. Let q(u) = 6*u - 69. Let t(z) = 5*i(z) - 6*q(z). Calculate the remainder when t(6) is divided by s.
8
Let w(c) = c**3 - 17*c**2 + 16*c + 11. Suppose 2*m = 3 + 7. Suppose -3*b + 47 = q, m*b + 0*b - 83 = 3*q. What is the remainder when w(b) is divided by 4?
3
Suppose -96*o = -124*o + 5208. Calculate the remainder when o is divided by 97.
89
Suppose 0 = -4*t - 4*d + 4, t - d + 16 = 5*t. Suppose -2*n = -2*y + 50, t*y = -2*n - 3*n + 145. Calculate the remainder when 66 is divided by y.
12
Let d = 4921 - 4918. Calculate the remainder when 26 is divided by d.
2
What is the remainder when 12/72*-1268*9/(-6) is divided by 104?
5
Suppose j = 10 - 14, 4*j = -4*y - 32. Let g(n) = -n**3 + 5*n**2 + 16*n - 1. Calculate the remainder when g(y) is divided by 30.
19
Let i = -5744 + 6006. What is the remainder when i is divided by 122?
18
Let x = 179 - 173. Suppose -21 = x*j - 483. What is the remainder when j is divided by 24?
5
Let c be (2/6)/(1/12). Let y be ((-2)/c)/((-5)/40). What is the remainder when 9 is divided by y*1*42/24?
2
Suppose 2*j = -4*a + 242, -8*j - 348 = -11*j - 3*a. What is the remainder when j is divided by (-4)/(-6) - 16/(-3)?
3
Let l be (-8)/20 - (-142)/5. Let p = -1170 - -1178. Let c = l - p. Calculate the remainder when 57 is divided by c.
17
Let i = 1498 + -869. Suppose -47 + i = 6*l. What is the remainder when l is divided by 50?
47
Let z(r) = 342*r + 2056. Let t be z(-6). Let c be 2*16/(-2)*-1. What is the remainder when 43 is divided by (27/12)/(t/c)?
7
Let h(m) = m**2 - 8*m + 1. Let q be h(10). Let d be 36/q - (15/21 - 1). Calculate the remainder when (38/(-3) + d)/((-18)/81) is divided by 17.
14
Calculate the remainder when 1214 is divided by 5*(29406/65)/13.
170
Let q = -10550 + 10649. What is the remainder when 188 is divided by q?
89
Let b(c) = 8*c**2 + 12*c + 5. Calculate the remainder when b(9) is divided by 6.
5
Let l(m) = 7*m + 43. Let k be l(-5). Let r(d) = d**3 - 8*d**2 - 2*d + 20. Let w be r(k). What is the remainder when 158 is divided by 16/(2*w/16*1)?
30
Let t(w) = -32*w - 5. Let n be t(-1). Calculate the remainder when -1 + 4 - (-224)/14 is divided by 9 + 12/n*-3*3.
4
Let n = 652 + -325. Suppose -n = -19*s - 99. What is the remainder when 47 is divided by s?
11
Let c(q) = 2*q**2 - q - 3. Suppose -38*x + 39*x = -167. Calculate the remainder when c(5) is divided by 124/(-930) - x/15.
9
Let z = -58 + 115. What is the remainder when 2 - -4*1239/28 is divided by z?
8
Suppose -2*x + 2*f + 1040 = 0, -2*f + 951 + 1141 = 4*x. What is the remainder when x is divided by 257?
8
Suppose -4*a + 4*o - 2028 = 0, -2 = -5*o + 8. Let t = -285 - a. Suppose -8*y = -t + 52. Calculate the remainder when 60 is divided by y.
18
Let d(f) be the second derivative of 41*f**5/20 + f**4/12 + f**3/6 - f**2 - 20*f. Let j = 32 + -10. Calculate the remainder when d(1) is divided by j.
19
Suppose 4*g - 4*t - 632 = 0, 0 = -0*t - 4*t - 12. Let v = -101 + g. Calculate the remainder when v is divided by 7.
5
Let d(b) = b**3 + 10*b**2 + 12*b - 10. Let o be d(-10). Let y = o - -142. What is the remainder when 59 is divided by y?
11
Suppose 0*b + 629 = b + 2*m, 4*m = -b + 623. Let f = -259 + b. Suppose -4*n + f = 3*p, 0 = -3*n + 5*p + 228 + 83. What is the remainder when n is divided by 25?
22
Let c(o) = -3*o - 29. Let x(l) = 7*l + 60. Let y(d) = -5*c(d) - 2*x(d). Calculate the remainder when y(5) is divided by 5.
0
Suppose 2*q = -a - 0*q + 29, -124 = -5*a - 3*q. Suppose -246 = -4*x - 2*x. Suppose k - 1 = x. What is the remainder when k is divided by a?
19
Suppose -w + 947 = 3*l, 0 = -4*l - l - 3*w + 1585. What is the remainder when 37990 is divided by l?
310
Let l(q) = 38*q**2 + 12*q + 21. Suppose 0 = -2*y + t + 38, 35*y - t = 38*y - 57. What is the remainder when l(-2) is divided by y?
16
Let m(g) = 75 + 0*g**3 - 68 - 10*g + 7*g**2 - g**3. Let h be m(4). Suppose n + h = 3*i, 2*n = -2*i + 6*n + 10. Calculate the remainder when 8 is divided by i.
3
Suppose -16362 = -0*m - 6*m. Calculate the remainder when m is divided by 90.
27
Let d = 161 + -146. What is the remainder when ((-120)/16)/d*(1 - 55) is divided by 11?
5
Calculate the remainder when 300 is divided by (-1 + (-7)/(-2))*43976/460.
61
Let j(p) = 3*p + 68. Let z be j(-22). Suppose -5*i = z*q + 11, -q + 3*q + 23 = -i. Let g = q - -62. Calculate the remainder when g is divided by 25.
24
Suppose -31 - 39 = -5*p. Let d = 215 - 107. What is the remainder when (-24)/d - (-490)/18 is divided by p?
13
Suppose 0 = -4*j - 3*q + 10, -5*j - 6*q = -q - 10. Suppose 4*t + 0*t = 3*p + 77, -j*t = p - 81. What is the remainder when 397 is divided by t?
17
Suppose -6*b = -13 - 5. Suppose -4*a + 26 = q, -31*a + 32*a = -5*q - b. Calculate the remainder when 30 is divided by a.
2
Let w(k) = -4*k - 46. Suppose 120 = a + 2*u, -5*a + 4*u = -644 - 26. What is the remainder when a is divided by w(-17)?
20
Let u(z) = 5*z**2 - 43*z - 453. Calculate the remainder when u(-13) is divided by 37.
26
Calculate the remainder when 307 is divided by (0 + -3 + 160/(-24))*(-3 + 0).
17
Suppose 6*u = -3*u - 3*u + 732. What is the remainder when u is divided by 49?
12
Suppose 5*j + 45 = h, -5*j + 57 + 23 = 4*h. Suppose 2*w - 225 = -3*w. Suppose -x - 3*p + w = 0, x - h = 3*p - p. Calculate the remainder when x is divided by 5.
3
Let m = 218 + -216. Suppose 0*c + 5*c - 175 = -5*l, l - 31 = -m*c. What is the remainder when 110 is divided by l?
32
Let w = 15 + -15. Suppose -6*z + z + 120 = 5*k, w = 4*z - 2*k - 102. Suppose -7*g + 94 = -z. What is the remainder when g is divided by 9?
8
Let o(u) = 5*u - 47. Let i be o(23). Let p = i + -70. What is the remainder when 130 is divided by p/11 + 1825/55?
31
Let b(r) = -5*r - 14. Let x be b(-10). Suppose -4*d - 113 = -3*h - 45, -d - 4*h = x. Let g = d + 139. Calculate the remainder when g is divided by 40.
39
Let r(j) = -7*j**2 + 8*j**2 + 15 + 0*j + 22*j. Let d = -14 - -54. Calculate the remainder when d is divided by r(-22).
10
Calculate the remainder when (-2)/(-6)*(-552)/(-2)*(-53)/(-4) is divided by 402.
13
Let b(q) = -48*q**3 + 106*q**2 - 12*q - 2. What is the remainder when (-5421)/(-15) - (-4)/(-10) is divided by b(2)?
11
Suppose -3*x - 46 = -0*x - f, -50 = 5*x + 5*f. Let u = -11 - x. Suppose -1 = u*p - 25. Calculate the remainder when p is divided by 2.
0
Suppose -5*r = -7*r + 8. Suppose r*j + 9 = -2*u + 741, u = 4. Calculate the remainder when j is divided by 17.
11
Let c = 374 + -371. Suppose -49 = -5*w + k, -c*w + 5*w = 4*k + 34. Let q(l) = -l**3 + 9*l**2 - 3*l - 8. What is the remainder when q(8) is divided by w?
5
What is the remainder when 126 is divided by (1/2 + 1/2)/(-249 + 250)?
0
Suppose -12*s - 6*s = -522. Suppose -r - t + 14 = -4*t, r = -2*t + s. Calculate the remainder when 41 is divided by r.
18
Let t(x) = 5*x**3 + 124*x**2 - 39*x - 149. Calculate the remainder when 412 is divided by t(-25).
10
Let k(n) = n**3 - 2*n**2 - 121*n + 91. Calculate the remainder when k(-9) is divided by 152.
137
Suppose 0 = 11*v - 7*v + 20, -3*v = 3*r - 606