
Let w = 3999 - 3975. What is the remainder when 4463 is divided by w?
23
Let t(h) = -h**3 - h**2 + h - 20. Calculate the remainder when t(-4) is divided by 23.
1
Let z be 60/68 - (-24)/204. Calculate the remainder when 126/18 + z*3 is divided by 3.
1
Let d(g) = g**3 + 12*g**2 + 23*g - 10. Let b = 34 + -42. Let x be d(b). Suppose 4*o + x = 6*o. Calculate the remainder when o is divided by 8.
7
Let r be 7*(-9 - -7)*9/(-2). What is the remainder when 25 is divided by 24/252 + 435/r?
4
Let t(v) be the first derivative of 3*v**3 - v**2/2 + 3*v - 140. Calculate the remainder when 122 is divided by t(-2).
40
Calculate the remainder when 16876 is divided by -10*(-2231)/(-115)*(-1)/2.
95
Suppose 3*p - 26 = -11, 159 = 4*m + 3*p. What is the remainder when 244 is divided by m?
28
Suppose -2*c - 1816 = -6*c + 4*n, -896 = -2*c - n. Let h(a) = -3*a**3 - 2*a**2 - 4*a - 3. Calculate the remainder when h(-3) is divided by (-1)/(-3)*7/(42/c).
22
Suppose -50*v + 5010 = -5636 + 946. What is the remainder when v is divided by 7?
5
Let h(y) = y**3 - 7*y**2 - 26*y + 21. Let i(t) = 2*t**2 - 10*t - 2. Let j be i(6). Calculate the remainder when 181 is divided by h(j).
59
Suppose -28*w + 12 = -25*w. Suppose 9*o + a = 6*o + 11, -2*o + w*a = 2. Calculate the remainder when 17 is divided by o.
2
Let r = 136 + -131. Suppose -r*o = -28*s + 30*s - 11, 4*o = -s + 7. What is the remainder when 2 is divided by o?
0
Suppose -474*h = -486*h + 21024. Calculate the remainder when h is divided by 15.
12
Let z = 2822 - 2699. Calculate the remainder when z is divided by 8.
3
Let h(d) = -d**3 + d**2 + 55. Suppose -2*c - 3*n = -43, -7*c + 8*n = 12*n - 183. What is the remainder when h(0) is divided by c?
26
Let v(h) = 4*h + 1. Suppose 0 = 7*u - 12*u + 55. Calculate the remainder when v(u) is divided by 24.
21
What is the remainder when (-8)/12*(7 + -754)/1 is divided by 191?
116
Let v be 16/12 + 2/3. Suppose 0 = v*l - 10*l + 56. Suppose 23 = 2*r - l. What is the remainder when 58 is divided by r?
13
Suppose 4*m = 16, 0 = 2*r + 2*m - 14 - 62. What is the remainder when 3875 is divided by r?
33
Suppose -2*v = k - 68, 3*v = -10*k + 7*k + 219. Suppose 0 = 1695*g - 1701*g + 102. Calculate the remainder when k is divided by g.
10
Let c be ((-1)/2)/(22/(-8) + 3). Let m = 262 + -158. What is the remainder when m is divided by (-6 + 1 + c)*(1 + -4)?
20
Let d = -4869 - -5053. What is the remainder when d is divided by 51?
31
Suppose -2*b + 596 + 1754 = 4*j, -4*b = -3*j + 1768. Calculate the remainder when j is divided by 11.
5
Let l(o) = 5*o + 18. Suppose -5*w - 3 = 4*u - 31, -2*w + u + 6 = 0. What is the remainder when l(w) is divided by (210/40)/((-2)/(-8))?
17
Suppose -60 = -0*w - 15*w. Let b(z) = z**3 - z**2 - 9*z. Calculate the remainder when 150 is divided by b(w).
6
Suppose -4*n - 11 = -495. Let o = 6159 + -6116. Calculate the remainder when n is divided by o.
35
Suppose -7*p + 22 = -13. Suppose 5*z + 236 = -j + 4*j, -5*j = p*z - 340. What is the remainder when 157 is divided by j?
13
Let n be 1/4 + 235/20. Suppose -j + n = -1. Let x(y) = -y**2 + 27*y - 78. What is the remainder when x(19) is divided by j?
9
Let o = 3746 - 3633. Let v(z) = 8*z**2 - 4*z - 3. What is the remainder when o is divided by v(-2)?
2
Let n = 24435 - 24374. Calculate the remainder when 8172 is divided by n.
59
Let c(h) = -h**2 + 34*h + 395. What is the remainder when 1429 is divided by c(43)?
5
Let a(m) = -2*m**3 - 2. Let z be a(-2). Let r = z - -13. Suppose -5 = 3*w - 35. What is the remainder when r is divided by w?
7
Let o(c) = c**2 + c + 11. Let h(b) = -b**3 - 7*b**2 - 5*b + 6. Let g be h(-6). Let i(l) = l**2 + 4*l + 21. Calculate the remainder when i(0) is divided by o(g).
10
Let z(i) be the first derivative of -i**4/4 - 11*i**3/3 + 4*i**2 + 27*i + 25. Let p be z(-14). Let w = p + -345. What is the remainder when w is divided by 40?
38
What is the remainder when (276/10)/((-224)/280)*-8 is divided by 267?
9
Suppose -3 = 2*z + 6*s - s, 4*z + 3*s + 13 = 0. What is the remainder when 289/4 - (7/z - -2) is divided by 15?
12
Suppose -28*x + 7320 + 6512 = 0. Let c = x + -420. What is the remainder when 363 is divided by c?
67
Suppose -1480 = -r + 4*w, 5*r - 7490 = -10*w + 15*w. What is the remainder when r is divided by 499?
7
What is the remainder when 7/((-392)/(-7440)) - (-7)/49 is divided by 40?
13
Let p = 21275 + -21254. Calculate the remainder when 4283 is divided by p.
20
Suppose -6048 = 180*a - 15048. What is the remainder when ((-2)/(-4) + -1)*-292 is divided by a?
46
Suppose 2*c - 123 = -3*c - 4*h, 5*c + 3*h - 126 = 0. Suppose 20 = -25*x + c*x. Calculate the remainder when 40 is divided by x.
0
Suppose -16*p - h = -19*p + 19646, 4*h = -20. Calculate the remainder when p is divided by 91.
86
What is the remainder when (5 - 6 - -3)*1*166 - 3 is divided by 163?
3
Let u be (-6)/9*(5 - (35 - -6)). What is the remainder when 30*u*-1*4/(-30) is divided by 28?
12
Suppose 3*o + 3*o - 18 = 0. Suppose 5*j + o*k - 55 = 0, -j = -0*j - k - 11. What is the remainder when 35 is divided by j?
2
Let s = -535 + 535. Suppose -21*u + 33*u - 1188 = s. Let v(r) = -13*r - 4. Calculate the remainder when u is divided by v(-3).
29
Suppose 98 = -3*o - 82. Calculate the remainder when ((-20)/o)/(1/249) is divided by 17.
15
Let u(v) = -9*v - 1. Let k be u(-1). Suppose -2*q - 16 = -k. What is the remainder when 116 is divided by q*(28/(-16) + (-3 - -1))?
11
Suppose 5*i + 0*i - 10 = 0, 0 = -4*p + 4*i + 552. Calculate the remainder when p is divided by ((-15)/(-120) + 3/(24/7))/(7/511).
67
Let k = -549 + 558. Let f = 0 + 0. Suppose f*u - 3*u = -3*r - 69, 3*u + r - 69 = 0. What is the remainder when u is divided by k?
5
Let a(d) = 3*d**2 - 11*d + 2. Let u(v) = v**3 + 9*v**2 - 10*v + 21. Let z be u(-9). Let y = z + -106. Calculate the remainder when 41 is divided by a(y).
19
Let b = -3112 + 4398. What is the remainder when b is divided by 43?
39
Suppose -5*h + 25 = 0, -8*n + 10*n = -2*h + 246. Suppose -5*k + 3*u = -181 + 25, u = -4*k + n. What is the remainder when 58 is divided by k?
28
Suppose d = 62 + 245. Suppose 3*b - 33*r = -35*r + 299, 0 = 3*b + 6*r - 279. Calculate the remainder when d is divided by b.
101
Let z(r) = -49*r + 10. Let a be z(-1). Suppose 8*j - 293 - a = 0. What is the remainder when 126 is divided by j?
38
Suppose 28*g - 404 = 1388. Suppose -g = -10*y + 66. Let i = 423 - 296. What is the remainder when i is divided by y?
10
Let x(r) = -12*r - 21. Let s be x(-4). Let y = 289 - s. What is the remainder when y is divided by 5?
2
Suppose 4*z = -3*r + 277, 0 = -5*r - 16*z + 18*z + 401. Suppose 0 = 2*o + 2, -5*o + 3720 = 7*b - 2*b. What is the remainder when b is divided by r?
81
Suppose 0*t + 3*t - 2*h - 295 = 0, -t - 4*h = -75. Suppose t - 116 = -3*p. What is the remainder when 41 is divided by p?
6
What is the remainder when 1*(-3)/(-3) + 267 is divided by 17?
13
Calculate the remainder when 147 is divided by (-4)/(-2)*-26*50/(-20).
17
Suppose 7*u = -11454 + 11748. Calculate the remainder when u is divided by -8*2/2*-1.
2
Calculate the remainder when ((502/(-7))/((-14)/49))/1 is divided by 246.
5
Let k = 520 - 344. Let m be 1 + 22/(-16) - (-103734)/144. Suppose m = -31*g + 43*g. Calculate the remainder when k is divided by g.
56
Let g = 3787 - 3780. What is the remainder when 327 is divided by g?
5
Let f = 1 + 2. Suppose 3*l - 212 = 4*x, -384 = -2*l - f*l - x. Suppose -4*t = -a + 43, 4*t + 82 = -3*a + 5*a. Calculate the remainder when l is divided by a.
37
Suppose 27 - 63 = -9*f. Suppose 0*l - l - 17 = -m, 2*l + 68 = f*m. Calculate the remainder when 99 is divided by m.
14
Let f(s) = 12*s + 278. Let b be f(42). Suppose 208*d - 231*d = -b. What is the remainder when 233 is divided by d?
29
Calculate the remainder when ((-11 + (-31)/(-3))*84)/((-2)/11) is divided by 10.
8
Suppose 0*m - 34 = -m - 3*y, 0 = -5*m - 2*y + 209. Let u(k) = -3*k - 40. Let p be u(-15). What is the remainder when (p - (-294)/(-9))/(1/(-3)) is divided by m?
40
Let x = 3 - -1. Suppose -3*c + 387 = 3*l, 0 = 2*l + x*c + c - 258. Suppose -4858*d + 60050 = 1147*d. What is the remainder when l is divided by d?
9
Let u = -77 - -138. Let l(i) = -2*i**2 + 9*i + 26. Let b(y) = y**3 + 16*y**2 - 34*y + 41. Let h be b(-18). What is the remainder when u is d