 the remainder when 13752 is divided by s?
12
Let u(t) = -4*t - 6. Let f be u(-5). Let i = -7 + f. Suppose 0 = -4*r - 12, -3*a = -2*r - 110 + 26. Calculate the remainder when a is divided by i.
5
What is the remainder when 98 is divided by 5*(-9)/105 + 10/7 - -73?
24
Let n be 21*2*(22/(-4))/(-11). Suppose -8*r + 7*r + 5*z = -n, 3*r - 4*z - 96 = 0. Calculate the remainder when r is divided by 28.
8
Let u be 235/(-25) - (-3)/(-5). Suppose -2*t = -5111 + 5099. Calculate the remainder when (-324)/(-7) + u/35 is divided by t.
4
Let f = -197 - -229. Suppose 3*c - c - h - 109 = 0, -5*h - f = -c. What is the remainder when c is divided by (-4)/6 - (-124)/6?
17
Let a(y) = -6*y**3 - 3*y**2 - 6*y - 6. Let k(j) = j**2 - 2*j - 3 - 15*j**2 - 16 - j**3 - 8*j**2. What is the remainder when a(-3) is divided by k(-22)?
22
Suppose 0 = -3*o + 21, 507 = 4*h - 20*o + 25*o. What is the remainder when 231 is divided by h?
113
Let j = -2 + 2. Suppose 2*t + t - 78 = j. Suppose -4*h - y = -12 - 504, -2*h + 204 = -4*y. Calculate the remainder when h is divided by t.
22
Let a(r) = -r**3 - r**2 + 9*r - 21. What is the remainder when 587 is divided by a(-7)?
167
Suppose w = -3*t + 265, 256*w - 380 = -4*t + 260*w. What is the remainder when 309 is divided by t?
39
Suppose -13*u + 75 = 23. Let g(m) = 2*m**3 - 9*m**2 - 6*m - 8. Let s be g(7). Suppose -n - u*n + s = 0. Calculate the remainder when n is divided by 21.
18
Let t(z) = -13*z**2 + 3*z + 1. Let b(c) = -52*c**2 + 11*c + 4. Let h(p) = -6*b(p) + 22*t(p). What is the remainder when h(-1) is divided by 10?
4
Suppose 5*d = -3*d + 8. Suppose -d = u + 3*l, 5*u = -4*l - 43 - 17. What is the remainder when 4*((-220)/u + 0) is divided by 12?
7
Let w = -21 - -46. Let t(o) = 92*o - 1 - o**2 + 100*o - 25 - 180*o. Calculate the remainder when w is divided by t(8).
1
Let u = 373 - 378. What is the remainder when 31 is divided by 66/(-4)*(-6)/(-45)*u?
9
Suppose 0 = -5*v + 3*h + 10, 3*v = v - h + 15. Let m(x) = 5*x**2 + 10. What is the remainder when m(v) is divided by 46?
43
Let x(a) = -a**2 - 18*a + 2. Let s be x(0). Suppose 5*o - 25 = d - 69, -3*d + 47 = s*o. Calculate the remainder when 262 is divided by d.
15
Suppose -2*s + 144 = -23*y + 25*y, 0 = -2*s + 7*y + 135. What is the remainder when 373 is divided by s?
18
Suppose 5*y - 7 + 32 = 0. Let h be 2/y - 96/60. Calculate the remainder when ((-59)/h - 0)/((-3)/(-6)) is divided by 22.
15
Suppose 0 = 2*n + 2*h - 76, 4*n - 2*n + 3*h - 80 = 0. What is the remainder when 1959 is divided by n?
21
Suppose 10*z = -93 + 5133. Suppose -z = -7*s - 21*s. What is the remainder when 89 is divided by s?
17
Suppose -u - 5 = 0, -3*o + 2*u + 284 = -2*o. Let d = 318 - o. What is the remainder when 219 is divided by d?
43
Let p(y) = 47*y + 874. What is the remainder when 240 is divided by p(-15)?
71
Suppose 4*q + h + 10 = -10, -4*h + 16 = 0. Let u be ((-9)/(-3))/(q/(-8)). Suppose -c + 11 = u. Calculate the remainder when 33 is divided by c.
5
Let n = -6762 + 7373. Calculate the remainder when n is divided by 27.
17
Let h = -21 + 78. Calculate the remainder when h is divided by (-18)/(-12)*400/15.
17
What is the remainder when 944/(-354)*126*(-2 + 1) is divided by 110?
6
Calculate the remainder when 347 is divided by (15/10)/(-21*5/(-910)).
9
Let o(q) = -2*q**2 - 27*q + 46. Let j = -28 + 29. Calculate the remainder when (-2*244/(-8))/j is divided by o(-14).
29
Suppose 3*c + 665 = 8*c - 2*f, 0 = 4*f - 20. Suppose 0 = 5*a - 25, -4*a = 3*k - 98 - c. Let u = k - 14. What is the remainder when u is divided by 30?
27
Suppose 1152 = -8*y + 20*y. Let t(v) = 13*v**2 + 1. What is the remainder when y is divided by t(-1)?
12
Suppose -5*g = -34*a + 30*a + 2880, -2*g - 8 = 0. Calculate the remainder when a is divided by 20.
15
Let y(v) = v + 90. Suppose 5*g + 0*k = k + 123, 2*g + k - 52 = 0. Suppose g + 15 = 2*t. What is the remainder when y(-12) is divided by t?
18
Calculate the remainder when 9/36 + (-32319)/(-84) is divided by 146.
93
Let x = 20102 - 19982. What is the remainder when 561 is divided by x?
81
Suppose -3*d = 18 + 111. Let y = -55 - d. Let v(w) = w**3 + 13*w**2 + 6*w + 14. Calculate the remainder when v(y) is divided by 18.
14
Suppose -5*v - 2*u = -2*v - 2189, 4*v + 3*u - 2918 = 0. What is the remainder when v is divided by 92?
87
What is the remainder when 5259/12 - (2/(-6) + (-301)/(-516)) is divided by 184?
70
Let p be ((-2)/(-1) - 1)*-1. What is the remainder when 570/18 + (15/3)/(-3 + 0) is divided by 13 - p/(-2)*4?
8
Let c(r) = r**3 - 5*r**2 - 6*r - 2. Let g be c(6). What is the remainder when ((-915)/(-7))/1 + g/(-7) is divided by 44?
43
Suppose 7*l + 5*b = 4*l + 1814, -1824 = -3*l - 3*b. What is the remainder when l is divided by 11?
8
Let w(o) = 1245*o - 931. What is the remainder when w(1) is divided by 80?
74
Let y = 365 + -56. Suppose -825 = -7*p + y. What is the remainder when p is divided by 4/(-14) + (-932)/(-28)?
30
Let b = -93 + 81. What is the remainder when (50/(-8)*11)/(3/b) is divided by 46?
45
Suppose -433 + 133 = -5*z. Suppose 2*y - z = -0*y. Suppose 545 = -30*n + 3155. Calculate the remainder when n is divided by y.
27
Suppose 6*a + 4*k = 1524, 519 = -0*a + 2*a + 5*k. Calculate the remainder when a is divided by 32.
28
Let s be 0*(-4)/24 + 0/3. Suppose -645*v + 643*v + 394 = s. Calculate the remainder when v is divided by 10.
7
Calculate the remainder when 1812 is divided by 5*(-24)/200 - (-1076)/10.
100
Let t = -53 - -58. Suppose 40 = t*v - 4*v. Suppose 0 = 4*q - 4*d - v, -q - d - d - 5 = 0. What is the remainder when 14 is divided by q?
4
Let p be ((-405)/(-6))/(-3)*(-352)/55. Suppose -176 - p = -8*y. Calculate the remainder when y is divided by 16.
8
Let n(v) = 4*v + 1. Suppose -16*a + 379 = -12789. Let m = -811 + a. Calculate the remainder when m is divided by n(2).
3
Let b(x) = -x**2 - x + 5. Let k be (-4 + 34/7)*-1*7. What is the remainder when 150/14 + 4*k/(-84) is divided by b(0)?
1
Suppose 0 = -v + 5*v - 2452. Suppose -5*f = 4*o - 237 + 65, -9*o = f - 100. What is the remainder when v is divided by f?
25
Let y(f) = f**3 + 9*f**2 + 9*f - 2. Calculate the remainder when 91 is divided by y(-7).
25
Let o(g) = -2*g**3 - 3*g**2 + g - 2. Let v = 7 - 10. Let j be o(v). Let k = j - -1. Calculate the remainder when k is divided by 13.
10
Suppose -2*t + 60 = 2*s, -144*s + 145*s + 4*t - 39 = 0. Calculate the remainder when s is divided by 12.
3
Let n = 302 + -972. Let y = n + 1017. What is the remainder when y is divided by 89?
80
Let s be (3 - (1 + 0))/(-2). Let b(j) = -170*j - 5. What is the remainder when b(s) is divided by 42?
39
Let n(c) = 3*c + 15. Suppose -24 = 20*t + 4*t. What is the remainder when 141 is divided by n(t)?
9
Suppose 9 + 19 = 7*a. Let v be ((-2)/(-24)*a)/(2/42). Suppose -40 = -q - v. Calculate the remainder when 131 is divided by q.
32
Let q(j) = 2*j**2 + 12*j + 3. Let r be q(-6). Suppose -2*s + 35 = 3*s. Let l = s + r. Calculate the remainder when l is divided by 8.
2
Suppose 5*j = -2*s + 183, -2*s + 15*j = 19*j - 188. Suppose l - 2*v = s + 427, -6 = -2*v. What is the remainder when l is divided by 11?
9
What is the remainder when 1805 is divided by (-143)/(-9) - (-258)/2322?
13
Let r(y) = y**3 + 28*y**2 + 70*y - 79. Calculate the remainder when 64 is divided by r(-25).
18
Let h(z) = 3*z**2 + 19*z - 80. Let m be h(7). Let y = -7 + 12. Suppose -m = -y*s + 295. What is the remainder when s is divided by 34?
31
Calculate the remainder when -5*6/(-345) - 4349115/(-2921) is divided by 6.
1
Let w = 6653 - 6440. Calculate the remainder when w is divided by (-6 + 20/4)*-9.
6
Suppose 0 = -4*a - l + 328, 101 + 145 = 3*a - 2*l. Calculate the remainder when 211 is divided by a.
47
Suppose 10*j - 2457 = -3*j. Suppose j = 4*s + 3*s. Let t(d) = -14*d - 3. What is the remainder when t(-4) is divided by s?
26
Let j = 128 + -349. Let k = -167 - j. What is the remainder when 104 is divided by k?
50
Let i(v) = v**2 + 11*v - 14. Let p be i(-11). Let k be 4/p*6 + (-6)/21. Let q(n) = 22*n**2 + 4*n - 2. Calculate the remainder when q(k) is divided by 41.
37
Suppose 0 = -5*k + 30*k - 5950. Suppose 6*o - 199 - 161 = 0. What is the remainder when k is divided by o?
58
Suppose 4*j = v - 0 + 35, -4*v = 3*j - 12. Calculate the remainder when 9 is divided by 6/(5 - 2)*(10 - j).
1