remainder when 1065 + (-19 - (-4 - 10)) is divided by 97.
90
Suppose 630 = 3*p - 2*d, -7*p + 10*p + 2*d = 642. Calculate the remainder when 547 is divided by p.
123
Let g(z) = -11*z**2 + 7*z - 17. Let h be g(4). Let b = -117 - h. Calculate the remainder when b is divided by 13.
9
Let n(f) = -f**2 - 20*f + 50. Let o be n(-22). Let t(a) = -78*a**3 + 1. What is the remainder when t(-1) is divided by 1*o - (4 - 0 - 8)?
9
Let x(w) = -2*w**3 + 6*w**2 - 2*w - 2. Let b be x(5). Let s = 142 + b. What is the remainder when 101 is divided by s?
11
What is the remainder when (124/(-54))/((-13)/117)*15/2 is divided by 105?
50
Let l(j) = j**3 + 89*j**2 + 499*j + 96. Calculate the remainder when 72 is divided by l(-83).
7
Suppose 0 = -9*m + 11*m - 3*b - 70, 0 = 2*m - 5*b - 62. What is the remainder when m is divided by 12 - 0 - 0/(-23)?
5
Suppose 0 = 10*j - 56 + 16. Suppose j*y - 292 = 152. Calculate the remainder when y is divided by 19.
16
Let u be 0 - 0 - (-48 + -655). Suppose -u - 133 = -22*c. Calculate the remainder when 181 is divided by c.
29
Suppose 2*q = 5*u - 625, -849 = -5*u + 4*q - 234. Calculate the remainder when 2031 is divided by u.
126
Suppose -2782*n - 20366 = -2799*n. Calculate the remainder when n is divided by 24.
22
Let u(r) = -r. Let t be u(4). Let y(l) = -l**3 - 2*l**2 + 4*l + 5. Suppose -912 = -73*b + 61*b. Calculate the remainder when b is divided by y(t).
13
Let n = -407 + 815. Suppose k + 3*k - n = 0. Calculate the remainder when k is divided by (-2 + (-4 - -3))*-7.
18
Suppose 0*j - j + 661 = 0. Let d(z) = -17*z**3 + 11*z**2 + 8*z - 3. Calculate the remainder when j is divided by d(-1).
15
Suppose -4*s = 3*m - 6*m - 17, -s = -3*m - 2. Suppose 3*u = s*w - 1303, -7*u = -w - 9*u + 271. What is the remainder when w is divided by 53?
51
Suppose 4*d - 40 = 4*g, -2*d + 156 = g + 145. What is the remainder when 11 is divided by d?
4
Suppose 12*o + 15 = -45. Let u = 35 + -56. Let n = o - u. Calculate the remainder when 57 is divided by n.
9
Let i(u) = -3*u - 17. Let z be i(5). Let l(j) = -j**3 + 6*j**2 - 3*j. Calculate the remainder when 1 - 5 - z - 4 is divided by l(5).
4
Let z(l) = 58*l - 53 - 50 + 57. Calculate the remainder when z(9) is divided by 60.
56
Let d(s) = s**3 + 2*s**2 + 2. Let p be d(0). Suppose 0 = -6*z + p*z - f + 135, 3*f = -15. Calculate the remainder when 104 is divided by z.
34
Let j(d) = d**3 - 16*d**2 - 68*d + 604. Calculate the remainder when ((-44)/(-22))/(2/128) is divided by j(18).
16
Let t(b) = -4*b + 21. Let f be t(-10). Let q = f + -42. Let j = -12 + q. What is the remainder when j is divided by 6?
1
Let u(w) = 6*w**2 + 3*w - 8. Let f be u(-4). Suppose -9*j + f = -266. Let o = 0 + 20. What is the remainder when j is divided by o?
18
What is the remainder when 21 is divided by (432/42 + -12)*-7?
9
Suppose 16 = 4*s, 76 = -3*k + 4*s + 3159. What is the remainder when k is divided by 22?
21
Suppose -4*j + 3*u + 11235 = 0, -2*j - 21*u = -22*u - 5615. What is the remainder when j is divided by 7?
5
Let x(s) = s**3 + 9*s**2 + 98*s + 955. Calculate the remainder when 627 is divided by x(-9).
43
Let h = -853 - -905. Let i = 22 + 126. Calculate the remainder when i is divided by h.
44
Let l = 465 - 466. Calculate the remainder when 226 + 0/l + 5 is divided by (-1 + 11/2)*4.
15
What is the remainder when (-614)/(-2149) - (6/(-5))/((-14)/(-22210)) is divided by 630?
14
Suppose 409 = 3*k - 47. Let s be ((-2)/((-22)/(-55)))/((-2)/(-206)). Let q = s - -537. Calculate the remainder when k is divided by q.
20
Suppose -39*x - 46*x = -111*x + 858. Calculate the remainder when 578 is divided by x.
17
Suppose -2*a = 3*u - 686, 32*a + 3*u - 1688 = 27*a. Calculate the remainder when a is divided by 70.
54
Let j be ((-9)/(-2))/(-9) - (-42)/4. Let m = 7 + j. What is the remainder when 219 is divided by m?
15
Let r = -61700 + 61708. Let q(v) = -2*v**2 + v. Let h be q(2). Let i(p) = 2*p**2 + 9*p. Calculate the remainder when i(h) is divided by r.
2
Let f(h) = -h + 23 + 35 - h + 1. Let s be f(20). Let z = 0 + s. Calculate the remainder when 54 is divided by z.
16
Let q(r) = -202*r + 1303. What is the remainder when q(6) is divided by 42?
7
Suppose -269*m - 6160 = 294*m - 603*m. Calculate the remainder when 906 is divided by m.
136
Let s(w) = -9*w + 8. Let l be s(0). Suppose -l*h + 2784 = 304. Calculate the remainder when h is divided by 78.
76
Suppose 0 = -v - 3*v, 0 = -4*g - 5*v + 104. What is the remainder when 52823/1046 - 14/4 is divided by g?
21
Let i = 334 + -197. Suppose -70*x = -60*x - 20. Let a(k) = k + 34. Calculate the remainder when i is divided by a(x).
29
Let s(q) = q**2 + 9*q - 201. Let u be s(-21). Let o be (-17)/((-2)/2)*1. Let x = u - o. Calculate the remainder when x is divided by 9.
7
Let y(p) = -57*p + 166. Let z be y(-5). Let l = z - 392. What is the remainder when l is divided by 10?
9
Let y(v) = 2*v**3 + 33 + 32 + 2*v**3 + 3*v**2 - 22*v - 72. Let n be y(-5). What is the remainder when 114 is divided by (n/(-35))/(6/15)?
22
Suppose 17 - 4 = -4*a + y, 0 = -2*a - 5*y - 1. Let d be 6 - (28/12 + a/9). Suppose -3*j = -d*j + 64. Calculate the remainder when j is divided by 6.
4
Let a(q) = 11*q**3 - 9*q**2 + 9*q - 3. Let d be a(2). Suppose d = 2*l + 41. What is the remainder when 69 is divided by l?
4
Suppose 3*j + 2171 = 5*v, -4*j + 455 + 1702 = 5*v. Calculate the remainder when 1341 is divided by v.
42
Suppose -336*n + 335*n = -495. Suppose 5*y = 4*f - 2351, -5*y = -5*f + 3440 - n. Calculate the remainder when f is divided by 35.
34
Let r = -12631 + 13645. Calculate the remainder when r is divided by 205.
194
Let w = -12887 + 12962. What is the remainder when 405 is divided by w?
30
Let s = -61 - -84. Let m be ((-36)/(-15) - 2) + (-22184)/(-40). Suppose -6*q = -q - m. Calculate the remainder when q is divided by s.
19
Let h(i) = 191*i - 5594. What is the remainder when 542 is divided by h(32)?
24
Suppose -5*w + 375 = -0*w. Let z(l) = l**3 + 13*l**2 + 9*l + 130. Calculate the remainder when w is divided by z(-13).
10
Suppose -536*u + 537*u = q + 15, -4*q = 4*u - 60. What is the remainder when 330 is divided by u?
0
Suppose -5*j = -3*s + 10 + 28, -3*s + 3*j = -36. Calculate the remainder when 54 is divided by s.
10
Suppose 4*o - 1752 = -4*d, 4082*d = 4079*d + o + 1342. What is the remainder when d is divided by 38?
27
Let q = -10 - -11. Let k be (-1 + q)*2/4. Suppose -16 = -4*j - k*j. Calculate the remainder when 11 is divided by j.
3
Suppose l - i - 11 = -2*i, l - 19 = -3*i. What is the remainder when (-1)/3 - (-560)/105 - -3 is divided by l?
1
Let z(d) = -d**3 + 41*d**2 - 99*d + 894. What is the remainder when z(39) is divided by 1 + 8 - (-7 - -6)?
5
Suppose -46*k + 496 = -3662 + 708. Let t = 203 + 32. What is the remainder when t is divided by k?
10
Let j(f) = 3*f**3 + 20*f**2 + 14*f + 15. Let z be j(-6). Suppose -z*w = -3*r + 531, 304 = 5*r - w - 589. Calculate the remainder when r is divided by 90.
89
Calculate the remainder when 802 is divided by (8/(-6))/(-3 - 0 - (-26989)/9042).
10
Let q(r) = -1. Let a(t) = -t - 44. Let w = 115 - 116. Let m(g) = w*a(g) + 6*q(g). What is the remainder when 51 is divided by m(-11)?
24
Let o = -19874 + 23698. Calculate the remainder when o is divided by 50.
24
Let q = 59 - 42. Suppose 3*v - 5*p + 7 + 41 = 0, 0 = -2*p - 6. Calculate the remainder when (-3474)/(-42) - (-1 - 15/v) is divided by q.
15
Let b = -23713 + 24032. Calculate the remainder when b is divided by 87.
58
Let y(r) = -r + 33. Let d = 68 + -65. Suppose -d*o = -0*o + 6, 30 = p - 5*o. What is the remainder when 29 is divided by y(p)?
3
Suppose 126*d + 45 = -4*b + 131*d, 3*b - 5*d + 50 = 0. Calculate the remainder when (-1)/(134/136 - 1) is divided by b.
3
Suppose -68*f + 17547 = 62*f + 2077. What is the remainder when 1783 is divided by f?
117
Let u(q) = -q**3 + 9*q**2 + 2*q. Suppose 3*c = -2*r + 57, -42 = 5*c - 5*r - 137. What is the remainder when c is divided by u(9)?
1
Let i be 70/4*(-8448)/(-960). Suppose 2*h = -3*q - 2, -3*h - h + 16 = q. Let y = h + i. Calculate the remainder when y is divided by 32.
31
Let l(o) = 3*o**2 + 129*o - 340. Calculate the remainder when 29341 is divided by l(-47).
221
Suppose 0 = -4*q - 8, 5*q - 3*q = -2*h + 194. Suppose 98*i = h*i - 291. What is the remainder when i is divided by 