5 = s. Calculate the remainder when 60 is divided by j.
9
Let i be -1 - -4*2/2. Suppose -r = -3*s + 175, 28*r - 250 = -4*s + 26*r. Suppose d = -i*d + s. Calculate the remainder when d is divided by 6.
3
Let c(s) = -32*s**2 + 3*s - 4. Let j be c(1). Let h = 128 + -91. Let g = h + j. What is the remainder when 11 is divided by g?
3
Let o = 187 - 178. Suppose 8*c + 22 = o*c. Let z(n) = n**2 + n. What is the remainder when c is divided by z(-3)?
4
Let y be (0 + -2 + 8)*3/6. Suppose -6*o = -y*o + 9. What is the remainder when (-1 - -3 - -1)/(o/(-14)) is divided by 8?
6
Let c be 0 - ((-16)/(-4) - 2). What is the remainder when 157 is divided by 36 + (-3 - -6) - (c + 1)?
37
Let a(w) = w**2 - 6*w + 27. Let i = -84 - -84. Let x be a(i). Suppose -x = -2*b - 9. Calculate the remainder when 10 is divided by b.
1
Let n = -18997 - -27024. Suppose -14*x + n = 1153. What is the remainder when x is divided by 29?
27
Suppose 0 = -a + 2*a - 59. Let n be (-2)/(-9) + 68/18 + 4. Suppose 0 = -6*s + n*s - 62. Calculate the remainder when a is divided by s.
28
Let i(y) = 28*y + 982. What is the remainder when 1/4 + (-235)/(-20) is divided by i(-35)?
0
Suppose 22*g - 453 = 75. Calculate the remainder when 188 is divided by g.
20
Suppose -6 = -3*m + 3*c, 21*m - 25*m - 4*c = -56. What is the remainder when -2 + 1*-2 + 225 is divided by m?
5
Calculate the remainder when ((-36)/9)/(-1*(-2)/(-87)) is divided by 16.
14
Let l = 593 + -591. Calculate the remainder when 301 is divided by 51/(l + -1)*(2 + -1).
46
Let y(m) = m**2 + 8*m + 11. Suppose 501*p - 11 = 497*p + 29. What is the remainder when y(8) is divided by p?
9
Suppose -94 + 1355 = 5*u + 4*o, 1008 = 4*u + 3*o. Let l = u + -217. Calculate the remainder when l is divided by 9.
5
Suppose 0 = -17*z - 5*z - 396. Calculate the remainder when (2/(-5))/(z/(-90)) - -143 is divided by 9.
6
Suppose 79*k - 62 = 78*k - 5*t, -t - 38 = -k. Let i(s) = 9*s - 13. What is the remainder when i(10) is divided by k?
35
Let w(n) be the third derivative of n**5/60 + 5*n**4/12 + 3*n**3/2 + 78*n**2. Suppose -9*b = -3*b + 72. What is the remainder when 98 is divided by w(b)?
32
Let c(w) = 5*w + 3. Let p(y) = -4*y - 4. Let v(k) = 3*c(k) + 2*p(k). Calculate the remainder when 79 is divided by v(3).
13
Let y(d) = 19*d + 5. Let n = 40 - 33. Let z be y(n). Suppose 274 + z = 4*v. What is the remainder when v is divided by 26?
25
Suppose 147 = 11*t + 59. Suppose -3*c = -c - 4. Suppose c*r = 13*r - 132. Calculate the remainder when r is divided by t.
4
Suppose -3*k = 3*h - 471, 17*h - 14*h - 1246 = -8*k. What is the remainder when k is divided by 70?
15
Let y(k) = -k**2 + 16*k - 3. Let b = -4950 - -5513. Calculate the remainder when b is divided by y(15).
11
Suppose 0 = 4*x + 5*t + 919, 2*t - 378 = 3*x + 294. Let s = 253 + x. What is the remainder when 71 is divided by s?
17
Let h = -81 - -221. Let y = h + -135. Calculate the remainder when y*25 + 0/18 is divided by 16.
13
Let a = -19 + 22. Suppose 15 = -a*v, -2*y - 2*v - 2 + 0 = 0. Suppose d - 15 = -y*d. Calculate the remainder when 6 is divided by d.
0
Let s(z) = z**3 - 10*z**2 + 27*z - 7. Let x(b) = b**2 - 32*b - 203. Calculate the remainder when x(-9) is divided by s(6).
1
Let v = 599 - 598. What is the remainder when v - (-532 + -1) - -2 is divided by 15?
11
Let r be ((-35)/5 - -5) + 170 + 1. Let a = 239 - r. Calculate the remainder when a is divided by 15.
10
Let m = -351 + 356. Suppose s + s - m*y = 61, -4*y - 23 = -s. What is the remainder when 85 is divided by s?
42
Let x = -11380 + 11736. Calculate the remainder when x is divided by 5.
1
Let c be (-1 - 8/(-2))*40/15. What is the remainder when c/20 - ((-1252)/20 - 3) is divided by 35?
31
Let g be (32/4*-4)/((-1)/(-2)). Let n = g - -96. Let m = n + 8. Calculate the remainder when 78 is divided by m.
38
Let n = 14 - 17. Let j(h) = -h**3 + 4*h**2 + 3*h - 2. What is the remainder when n - (-77 - (-4)/(-1)) is divided by j(3)?
14
Suppose 0 = -3*o + 3, -o = 7*r - 4*r - 232. Let d = 36 - 16. What is the remainder when r is divided by d?
17
Let z = 12910 + -12781. Calculate the remainder when z is divided by 116.
13
Let h(u) = 3*u**3 - u**2 - u + 5. Let t be h(4). Let z = -123 + t. Suppose 1276 = 59*d - 15*d. What is the remainder when z is divided by d?
25
Let m(s) = -5*s - 35. Let u be m(-8). Suppose 4*i + 18 = u*i - 2*k, 4*k + 62 = 3*i. Calculate the remainder when 71 is divided by i.
19
Let b(w) = -5*w**2 - 3*w - 8. Let c be b(10). Let p = -320 - c. What is the remainder when p is divided by 74?
70
Let f be 16/3*-6*(-6)/24. What is the remainder when 1200/14 + f/28 is divided by 31?
24
Suppose 0 = -u - b - 80, -48 + 200 = -2*u - 4*b. Suppose -82 - 33 = -m. Let h = m + u. Calculate the remainder when h is divided by 13.
5
Let x(o) = 263*o**2 + 5*o + 30. Calculate the remainder when x(-6) is divided by 123.
120
Calculate the remainder when 290 is divided by ((-3)/6)/(2/4 + -1) - -99.
90
Let t(x) = 2*x**3 + 2*x**2 + x - 4. Suppose -5*r + 12 - 1 = -3*f, 3*r - 5 = f. Let i be t(f). What is the remainder when 160 is divided by (1 - -1)*(-161)/i?
22
Let v be 2/7 - ((-3975)/(-21))/1. Calculate the remainder when 60 is divided by ((-2)/6)/(-1*(-7)/v).
6
Suppose -34*l = -38*l + 12. Suppose -3*n - l = -4*n. Suppose n*c = 3*z + 9 - 93, -4*z = -5*c - 112. What is the remainder when 80 is divided by z?
24
Suppose -364 = -9*w + 131. Suppose -813*c + 847*c - 2176 = 0. What is the remainder when c is divided by w?
9
Suppose -9*r + 929 = -7*r - o, 0 = 5*r - 5*o - 2345. Calculate the remainder when r is divided by 436.
24
Let x(l) = -l**3 - 10*l**2 - 11*l + 9. Suppose g - 2*p + 526 = 0, -p + 1558 = 4*g - 7*g. Calculate the remainder when (-12)/24 + g/(-4) is divided by x(-9).
21
Suppose 0 = -2*z - 47*v + 43*v + 922, -2305 = -5*z - 4*v. Calculate the remainder when z is divided by 35.
6
Suppose 0 = y + 5*t + 419, -4*y + 6*y - 5*t + 778 = 0. What is the remainder when 290 is divided by y/(-7) + (-2)/(-1)?
54
Let f(l) = -65 + 28 + 38 - l. Suppose 436 = 7*j + 338. What is the remainder when j is divided by f(-3)?
2
Let y(f) be the first derivative of -2*f**2 - 11*f + 3. Suppose -16*w + 546 = -350. Calculate the remainder when w is divided by y(-8).
14
Let y(r) = r**3 - 7*r**2 + 11*r - 25. Let m be y(6). Suppose 4*p - 69 = k + 56, -156 = -m*p + k. What is the remainder when p is divided by 14?
3
Suppose -u + 4*u + 145 = 4*p, -96 = 2*u - 2*p. What is the remainder when (-216)/18*(-1)/(-4)*u is divided by 3?
0
What is the remainder when 390 is divided by (-167)/(-13) + (-13)/676*-8?
0
Let d(z) = -z**2 - 12*z + 51. What is the remainder when 93 is divided by d(-14)?
1
Suppose -2544 = 2690*y - 2738*y. What is the remainder when 2328 is divided by y?
49
Let y(z) = z**2 - 45*z + 32. Let h be y(44). Suppose 0 = 2*j - 7*j + 65. Calculate the remainder when j/78 + (-838)/h is divided by 18.
16
What is the remainder when ((164/(-25))/(32/(-320)))/((-6)/(-255)) is divided by 47?
15
Calculate the remainder when 350/(-140)*(2 - 664/10) is divided by 7/14*(55 + -1).
26
Let o(j) = j**2 + 3*j - 87. Let v be o(-11). Suppose r = -r + 2, -2*r = -4*p + 42. Let k = p + v. What is the remainder when 44 is divided by k?
8
Suppose -13 - 27 = -10*v. Suppose 0 = v*j - 4*b - 1016, -4*j + 495 = -5*b - 520. Calculate the remainder when j is divided by 52.
47
Let r(x) = -150*x + 18 + 151*x + 37. Let k(b) = 3*b - 4. What is the remainder when r(12) is divided by k(7)?
16
Let p(f) = -203*f - 19448. What is the remainder when p(-97) is divided by 30?
3
What is the remainder when (-45192)/(-84) + (-3 - (2 - -7)) is divided by 5?
1
Suppose 7*c = -5*c - 5400. Let w = c - -458. What is the remainder when 991 is divided by w?
7
Suppose 4*w + w = -130. Suppose 16*v - 966 = -7*v. Let r = w + v. Calculate the remainder when 45 is divided by r.
13
Suppose -4*v + 5*q = -1772, -71*v = -73*v - 2*q + 886. Calculate the remainder when 907 is divided by v.
21
Let t(c) = -c**2 + 63*c + 3. What is the remainder when 970 is divided by t(0)?
1
Suppose -106*h + 109*h - 473 = 5*y, 0 = -2*h - y + 324. Calculate the remainder when h is divided by 26.
5
Suppose -4*m = 2*h - 60, 0 = 4*h + 5*m - 73 - 53. What is the remainder when 166 is divided by h?
30
Let c = -15 - -33. Suppose -100 = -k + 4*z, k - 506 = 5*z - 412. Wha