-10)/(-4) + -2). Let k = -46 + s. Let z = -9 - k. Calculate the remainder when z is divided by 7.
6
Let y(n) = n**3 - 7*n**2 - 5*n + 14. Let m be y(5). Let v = -60 - m. Suppose k + 2*r = 7, -2*r + v - 6 = -3*k. Calculate the remainder when 11 is divided by k.
2
Let i be (-20 + 106)*(-2)/(-12)*3. Suppose -4*t - 38 = -2*x, 5*t + i - 10 = 2*x. What is the remainder when x is divided by 2?
1
Let d(n) = -2*n - 21. Let c be 31/((-1)/(-2)*-2). Let g = -44 - c. What is the remainder when 14 is divided by d(g)?
4
Suppose 29*g - 26*g + 5*q = 944, 3*g - 4*q = 935. Calculate the remainder when g is divided by 103.
4
Let j(s) = -125 - 5*s + 4*s - 4*s + 212. What is the remainder when j(0) is divided by (-1 - 0)/(-1)*11?
10
Suppose 8*k = 5*l + 4*k + 25, -25 = 5*k. Calculate the remainder when l/6*(-40)/(-18)*-60 is divided by 67.
66
Let s = 4067 + -3929. What is the remainder when s is divided by 124?
14
Suppose -2*r = -0*r + 5*l + 86, 3*r - 3*l + 150 = 0. Calculate the remainder when (-1044)/21*168/r is divided by 8.
6
Suppose -5*u + 1044 = 6*h, 3*u - 5*u = 0. Calculate the remainder when 308 is divided by h.
134
Let n = 2293 - 769. What is the remainder when n is divided by 15?
9
Let d(i) = 8*i**2 - 33*i + 26. What is the remainder when d(14) is divided by 71?
67
Let b(j) = 4*j**2 + 6*j - 16. Let v be b(-5). Suppose 4*a - 2*a - v = 0. What is the remainder when 318 is divided by a?
21
Suppose -11*q = 15*q + 2210. What is the remainder when ((-25170)/q + 2/(-17))/2 is divided by 8?
4
Let t = 874 - 596. Calculate the remainder when t is divided by 31.
30
Let z be 6/153*3 + 712/17. Suppose z = l + 25. What is the remainder when 50 is divided by l?
16
Suppose 12164 - 11899 = 5*j. What is the remainder when 139 is divided by j?
33
Let d(m) = -m**3 + 20*m**2 - 37*m + 382. What is the remainder when d(16) is divided by 811?
3
Suppose 51*w - 56*w + 10 = 0. Suppose 5*i - 10 = 5*l, -6 - w = 5*l - 4*i. Suppose l = -6*k + 96 + 42. What is the remainder when 91 is divided by k?
22
Suppose -3*h + 322 = 88. Let d = h - 47. Suppose 0 = 2*u + 5*m - d, 6*u = u - m + 89. Calculate the remainder when 62 is divided by u.
8
Let i = 658 - 692. Let q(x) = -x**2 - 43*x - 268. Calculate the remainder when q(i) is divided by 31.
7
Let v be 3*7278/48 - (-3)/24. Suppose b - 36*b = -v. Suppose -2*n - 15 = -5*n, 5*n = -4*l + 281. Calculate the remainder when l is divided by b.
12
Let k(l) = 8*l**2 + 25*l - 10. Let q be k(4). Suppose 0 = -2*n + 4*p + q, -17 - 201 = -2*n + 2*p. Calculate the remainder when n is divided by 55.
54
Suppose 5*s + 58*i - 59*i = 11051, -45 = -5*i. Calculate the remainder when s is divided by 728.
28
Let f(n) = -n**3 - 4*n**2 - 2*n. Suppose -5*o - 8*o + 455 = 0. Suppose -36*l = -o*l - 60. What is the remainder when l is divided by f(-4)?
4
Let k = -112 + 4106. Calculate the remainder when k is divided by 43.
38
Let s = -416 + 648. What is the remainder when s is divided by 3?
1
Let p = 4 + -1. Suppose -2*a + 24 = 3*q - 41, 0 = -3*q + 3*a + 60. Let l = q - p. What is the remainder when 35 is divided by l?
17
Let l(o) = -o**3 + 31*o**2 - 184*o + 92. Calculate the remainder when 2297 is divided by l(23).
89
Suppose 61484 = 42*c + 34*c. Calculate the remainder when c is divided by 209.
182
Let o(a) = -a**2 + 29*a - 43. Suppose i - z - 33 = 4*i, -4*z = 0. What is the remainder when o(26) is divided by (10 - i) + -2 + -1?
17
Suppose 21*r = 11*r + 80. Suppose -r*c = -7*c - 107. Calculate the remainder when c is divided by -3*((-28)/3 - -2).
19
Let j be 6*(-7)/84*-8. Suppose -142 = -5*s - j*v + 5*v, -5*s - 4*v + 157 = 0. Calculate the remainder when 375 is divided by s.
27
Suppose 3*y + 5*q - 1840 = 0, -14 = -q + 3*q. Calculate the remainder when 1877 is divided by y.
2
Suppose 0 = 5*a - h - 184, 9*h - 12*h = 5*a - 208. What is the remainder when 1225 is divided by a?
9
Let j = 33 - 9. What is the remainder when 96/((-7 - -11) + (-15)/6) is divided by j?
16
Suppose 0 = 5*i - 3*z - 251, 3*z + 39 = i - 4. Let r = 14 - -2. Suppose 12*d = r*d - i. Calculate the remainder when 24 is divided by d.
11
Let k(d) be the first derivative of -d**4/4 + 5*d**3/3 - d**2/2 + 12*d + 82. What is the remainder when 119 is divided by k(4)?
23
Let p(v) = 2*v**2 - v - 16. Let r be p(-3). Suppose 0*c - r*g = c - 23, -2*g = -5*c + 88. Let x = 3 - -4. Calculate the remainder when c is divided by x.
4
Let s be (-533)/(-4) + 3/(-12) - 3. Calculate the remainder when 3 + s/(-4)*(-42)/35 is divided by 5.
2
Suppose -82471 - 186719 = -135*n. Calculate the remainder when 6000 is divided by n.
18
Let v = 3335 + -3312. Calculate the remainder when 285 is divided by v.
9
Suppose 66 = 2*l + i, -3*l - 4*i - 800 = -894. Calculate the remainder when 124 is divided by l.
22
Let v = -13 + 16. Let n be 2/v + 160/12 + -1. Suppose -3*b - 5 = -5*h + 14, 0 = 3*h - b - n. Calculate the remainder when h is divided by 2.
1
What is the remainder when ((-1888)/2360)/(((-3)/(-7020))/(-1)) is divided by 156?
0
Let a be (14/21)/((-2)/2178). What is the remainder when 140 is divided by a/(-10) - -1*15/(-25)?
68
Let w = -105 + 233. Suppose -4*k = -5*c + 4*c + 32, -4*c - 3*k + w = 0. Let x(z) = z**3 + 8*z**2 - 5*z + 10. What is the remainder when x(-7) is divided by c?
30
Calculate the remainder when 527 is divided by (-104)/(-2) - (-64 - -62)*2/4.
50
Suppose -8 = 12*n - 14*n - 4*w, 0 = 5*n + 5*w - 15. Suppose 5*k + 13 + 11 = 2*h, h - n = 5*k. Calculate the remainder when h is divided by 13.
9
Let c(x) = x**3 + 11*x**2 + 11*x + 10. What is the remainder when 87 is divided by c(-9)?
14
Let x = 60 + -62. Let u be 5*((-5)/2)/((-1)/x). Calculate the remainder when -2 - u/1*5 is divided by 21.
18
Suppose p - 4*t = t + 22, -3*p + 5*t + 96 = 0. Suppose -d + 93 = p. Suppose -d*i = -61*i + 80. What is the remainder when 40 is divided by i?
8
What is the remainder when 1369 is divided by 26 + -1 + (5 - 2)?
25
Let y(u) = 24*u + 13 + u**2 - 17*u + 0*u**2 + 2. Suppose 17 = q + 4*q - 2*n, 0 = -4*q + 4*n + 16. Calculate the remainder when y(-6) is divided by q.
0
Let y be -6 + 5 + 2 + -7. Let x(h) = -h**3 + 12*h**2 - 12*h + 9. Calculate the remainder when x(10) is divided by (32 + -59)*2/y.
8
Let y(o) = -2*o - 13. Let c be y(-9). Suppose j = c*j. Suppose 2*b - 8*b + 138 = j. What is the remainder when b is divided by 6?
5
Let m(c) = 62*c**3 + 21*c**2 - 70*c + 27. What is the remainder when m(3) is divided by 38?
8
Let p(r) = 2*r - 16. Let y be p(9). Suppose -m = -0*c - y*c + 13, 0 = -4*m - 2*c - 2. Let z(o) = -28*o - 5. What is the remainder when z(m) is divided by 27?
25
Suppose 4*w = -m + 729 - 94, -4*m - 180 = -w. Calculate the remainder when 465 is divided by w.
145
Suppose -2*p - 17*k + 38 = -13*k, 3*p - 2*k - 89 = 0. What is the remainder when 3989 is divided by p?
20
What is the remainder when (19 + (-53414)/68)/(2/(-4)) is divided by 45?
3
Calculate the remainder when (-225)/(-60)*-530*-2 is divided by 221.
218
Let w(v) = -v**3 + 11*v**2 + 70*v - 525. Let i be -30*(1 - 0)*-1. Let p = -13 + i. What is the remainder when w(13) is divided by p?
13
Suppose -22*a + 240 + 31719 = 2853. What is the remainder when a is divided by 1311?
12
What is the remainder when 182 is divided by (-2)/((-20)/(-66)*-6*11/990)?
83
Let j = 35 - 24. Calculate the remainder when 24 is divided by (-66)/j*(-2 + 1).
0
Suppose -1656 = 509*l - 521*l. What is the remainder when 3449 is divided by l?
137
Suppose 5*l = 25 - 10. Suppose -2*q + b + 11 = 0, q - b - l*b = -5. Suppose -5*a - 148 = -q*a. What is the remainder when a is divided by 15?
14
Let c be 14/(-77) - 68/(-11). Let i(z) = z**2 - 4*z + 2. Let t(a) = 3*a**3 - 32*a**2 + 22*a + 20. What is the remainder when t(10) is divided by i(c)?
12
Suppose -654*q = -664*q + 1270. What is the remainder when q is divided by 22?
17
Let q = 257 - 188. Let t = 83 - q. Calculate the remainder when 22 is divided by t.
8
Let v be ((-6)/(-3))/(2/785). Let z = 819 - v. What is the remainder when 162 is divided by z?
26
Let f(c) = c + 19. Let z be f(-6). Let r(s) be the first derivative of -s**3/3 + 17*s**2/2 - s + 19. What is the remainder when r(z) is divided by 13?
12
Suppose -b = -5*n - 1429, 3*b = -55*n + 60*n + 4247. Calculate the remainder when b is divided by 5.
4
Suppose 6*r - 5*r = -21. Let s = 36 + r. Calculate