 is divided by q.
23
Suppose -7*h = -48*h + 214635. Calculate the remainder when h is divided by 187.
186
Suppose 0 = 3*j + 112 - 538. Let h = 146 - j. Calculate the remainder when 53 is divided by h.
1
Suppose q = -3*q + 24. Let d = q - 1. Calculate the remainder when 105/35*9/3 is divided by d.
4
Suppose -z = -3*i - 6*z + 496, -5*i = 2*z - 833. Let q(n) = -n**3 - 10*n**2 + 130*n - 233. What is the remainder when i is divided by q(-18)?
15
Suppose -2*t + 243 - 69 = -4*d, d = -3*t + 275. Calculate the remainder when 780 is divided by t.
52
Let z be (-6)/(-30) - (-4)/(-20). Suppose z = 5*u + 18*u - 2047. What is the remainder when u is divided by 59?
30
Let d be (-8)/(-14)*378/108. Calculate the remainder when (14 - 37)/(d/(-8)) is divided by 33.
26
Suppose -1005 - 12 = -o. What is the remainder when o is divided by 60?
57
Suppose -5*j + 397 + 118 = 0. Let m = -51339 + 51347. What is the remainder when j is divided by m?
7
Let n = 46 + 255. Suppose -3*i = f - 0*f - n, -i = -3*f - 117. Suppose 0 = 7*t - 5*t - 5*r - 70, t = -4*r + 35. Calculate the remainder when i is divided by t.
32
Let u = 5155 + -3329. Suppose 21*o = -o + u. What is the remainder when o is divided by 28?
27
What is the remainder when 246/5 + (-26)/130 is divided by 25?
24
Suppose 0 = 4*m + 4*d - 9508, -2321 - 35 = -m - 4*d. What is the remainder when m is divided by 30?
14
Suppose -5*d = -39 - 176. What is the remainder when 23/(-23) + (-288)/(-2) is divided by d?
14
Suppose -3*h = -m + 324 + 183, 0 = 2*m - 3*h - 1035. Calculate the remainder when m is divided by 145.
93
Suppose 8 = 2*m - j, 0*m - 4*m = -j - 12. What is the remainder when (-133 + 245)*1/2 is divided by m?
0
Suppose 4*x - 3*f - 1240 = -5*f, -8*f + 1228 = 4*x. Calculate the remainder when x is divided by 83.
62
Let d = -334 + 217. Let m = d - -241. What is the remainder when m is divided by 25?
24
Suppose 0 = -6*v - 4*v - 2800. Let k = v + 361. Let y(m) = -m**3 - 3*m**2 + 6*m + 1. Calculate the remainder when k is divided by y(-5).
18
Suppose 6298 = 10*x - 672. Let z = x - 343. What is the remainder when z is divided by 21?
18
Let u be (-145)/(-5) + 2*2. Suppose 5*z = 2*z + u. What is the remainder when ((-12)/(180/(-65)))/((-3)/(-9)) is divided by z?
2
Suppose 0 = 3*i - 2*y + 18532, 5*i = 4*i - 3*y - 6159. What is the remainder when i/(-24) + 15/20 is divided by 22?
16
Calculate the remainder when 360 is divided by (69/9)/(18/270).
15
Let z(d) = -25*d**2 + 22*d + 767. Calculate the remainder when 5376 is divided by z(0).
7
Let i(a) be the third derivative of -a**6/120 + a**5/60 - a**4/24 + 44*a**3/3 + 213*a**2. What is the remainder when 1053 is divided by i(0)?
85
What is the remainder when (236/354)/(2/3762) is divided by 93?
45
Let f(d) = -d**3 + 53*d**2 + 345*d - 31. Suppose -5*s - 5*l + 19 + 51 = 0, 3*s - 4*l - 70 = 0. What is the remainder when f(-6) is divided by s?
5
Let l = 5 - -9. Suppose 4*s = -3*n + 647 - 645, n + 11 = 1. What is the remainder when l is divided by s?
6
Let m be ((-8)/(-10))/((-2)/(-10)). Suppose w - 3*i - 26 = -2*i, -3*i - 102 = -m*w. Calculate the remainder when w is divided by -2 - -6 - (-494)/38.
7
Suppose 8*g - 2*g - 222 = 0. Suppose r = -0*r + 5*k + g, 165 = 5*r - 5*k. Let t = -20 + 37. Calculate the remainder when r is divided by t.
15
Let z(m) = -388*m - 772. What is the remainder when 200 is divided by z(-2)?
0
Let n be 140/55 - -3 - (-42)/(-77). Suppose -n*f = -4*p - 30, 6*f + p - 1 = 3*f. What is the remainder when 7 is divided by f?
1
Let f(j) = -2*j**3 - 27*j**2 + 15*j + 38. What is the remainder when 167 is divided by f(-14)?
23
Let r(s) = 2*s**2 + 3*s - 6. Let n be r(5). Suppose 82 = x + 7*a - 14*a, -4*a + 20 = 0. Let b = x - n. What is the remainder when b is divided by 10?
8
Let u(k) = 1687*k + 6759. Calculate the remainder when u(-4) is divided by 4.
3
Let x(m) = m**3 + 11*m**2 - 24*m + 38. Let w be (9 - 25)*1 - (1 - 4). What is the remainder when 81 is divided by x(w)?
9
Suppose 2*r = t - 53 + 45, 4 = 2*r. Calculate the remainder when 358 is divided by t.
10
Let t(h) be the second derivative of -h**5/20 + h**4/12 + h**3/2 - 5*h**2/2 - 6*h. Calculate the remainder when t(-5) is divided by (-770)/(-35)*3/9*3.
20
Suppose 3*o - 99 = 183*g - 186*g, 0 = 4*g - 20. Calculate the remainder when 1201 is divided by o.
25
Suppose 0 = -6*o - 268 - 86. Let s = o + 66. Let n(i) = 13*i - 65. What is the remainder when n(s) is divided by 15?
11
Let b(c) = -523*c + 1444. Calculate the remainder when b(-111) is divided by 140.
137
Let o(l) = -4*l**2 + 5*l + 3 + 6*l**2 - 17*l. Suppose -3*a + 5*g = -79, a + 4*g = -2 - 0. Calculate the remainder when o(8) is divided by a.
17
Let i(x) = 4*x + 205. Let n be i(-46). Suppose -5*q + 77 = 2*k, 2*q - 23 = -n. Let z(w) = 3*w + 4. What is the remainder when k is divided by z(3)?
10
Let d = 6171 - 5963. Calculate the remainder when d is divided by 105.
103
Let g = -2 + 1. Let o(c) = -2*c**2 + 10*c - 10. Let v be o(3). Calculate the remainder when (-4 - g)*(v - (-308)/(-12)) is divided by 9.
8
Suppose 506*y = 504*y + 3*i + 127, 286 = 5*y - 3*i. What is the remainder when 509 is divided by y?
32
Suppose -p = 3*p + 3*n - 74, -2*p - 2*n = -38. Let s be -6 + 208/32 - 110/(-4). Let d = s - p. What is the remainder when 41 is divided by d?
8
Suppose -221 = -59*o + 46*o. Suppose o*c = 467 + 1369. Calculate the remainder when c is divided by 22.
20
Let w = -4492 + 5673. Calculate the remainder when w is divided by 65.
11
Suppose 459 = 28*g - g. Calculate the remainder when 16590 is divided by g.
15
Let s(p) = p**2 + 84*p + 837. Calculate the remainder when 311 is divided by s(-11).
5
Let h = -299 + 570. Suppose 14*y - 38*y + 816 = 0. What is the remainder when h is divided by y?
33
Let w = -702 - -737. What is the remainder when ((-202)/2)/(1*-1) is divided by 42/27*(-17 + w)?
17
Suppose -u + 628 = 534. Suppose -118 = -4*m + u. What is the remainder when 95 is divided by m?
42
Let w be 8/((-30)/(-5) + -4). Suppose -4*d = 3*g - 33, -d = 2*d + g - 31. Calculate the remainder when (26/w - 3 - -4)*4 is divided by d.
6
Suppose -22*b - 3*j = -23*b - 53, 3*b + 3*j = -219. Suppose 3*v + 2*v - 68 = i, 4*v = -i - 77. Let m = b - i. What is the remainder when 6 is divided by m?
1
Let z(v) = v**3 - 20*v**2 - 23*v - 203. What is the remainder when z(23) is divided by 63?
36
Let b(j) = -103*j + 1. Let s be b(1). Suppose 0 = 80*i - 71*i + 1035. Let c = s - i. Calculate the remainder when 34 is divided by c.
8
Calculate the remainder when 40 - -15 - (16 - 15)/((-2)/6) is divided by 9.
4
What is the remainder when (-8 - (-2723)/(-14))*(14/2 - 11) is divided by 114?
12
Suppose -130 + 26 = 13*x. Calculate the remainder when x/(-3)*3/10*60 is divided by 15.
3
Let y = -607 + 731. Calculate the remainder when y is divided by 74/4 - 8/16.
16
Suppose -133*o + 5042 = -14110. What is the remainder when 294 is divided by o?
6
Let g(s) = s**2 + 20*s + 100. Calculate the remainder when 161 is divided by g(-8).
1
What is the remainder when 1150 is divided by (1 - (-26)/(-10))/((-1036)/(-175) - 6)?
10
Let n = 927 - 889. Let d = 32 + -24. What is the remainder when n is divided by d?
6
Suppose -302*u = -5*p - 307*u + 285, 3*p = 4*u + 213. Calculate the remainder when 2630 is divided by p.
47
Let a = 228 - 135. Suppose 2*b = 4*z + 350, -56*b + 61*b + 7*z = 892. Calculate the remainder when b is divided by a.
84
What is the remainder when (-585)/(-27)*(3 - 864/(-45)) is divided by 161?
159
Suppose -36*r - 2*d + 388 = -32*r, 0 = d + 2. What is the remainder when r is divided by -2*(-50)/8*2?
23
Let z(o) = 24*o**2 - 222*o - 444. Calculate the remainder when 370 is divided by z(-2).
82
What is the remainder when 1046 is divided by -3 + (-3484)/(-117) - 8/(-36)?
20
Let s be -2*15/10 - (-5 + 2). Suppose f - 4*l - 195 = s, 4*f + l - 611 = f. What is the remainder when f is divided by 23?
19
Suppose 5*j = 18 + 132. Suppose -3*q = 2*s - 50, -5*s + 0*s + q + 91 = 0. Let r = s + -3. Calculate the remainder when j is divided by r.
14
Let t(a) = 18*a**2 - a + 1. Let b be t(1). Let z = b - 3. Suppose -2*r = 5*u - 32, 177 = 7*r - 3*u - 263. Calculate the remainder when r is divided by z.
11
Let i = 6366 - 6192. What is the remainder when i is divided by (10/8)/((-14)/(-392))?
34
Let a(k) = -20*k*