*n. Calculate the remainder when n is divided by 16.
15
Suppose 4*s - 21 = 5*a, 0*s = -3*s + a + 13. Suppose 4*h - s*d - 548 = 0, 3*h - d - 409 = d. Calculate the remainder when h is divided by 23.
20
Let o = -17421 - -17463. Calculate the remainder when 8981 is divided by o.
35
Let p be (-4)/(-10) + 216/60. Suppose -51 = -x + p*v, 4*x - 9*x + v + 160 = 0. What is the remainder when 55 is divided by x?
24
What is the remainder when 86/(((-102)/(-60))/17) is divided by 169?
15
Let o be (-27)/(-2)*(8 - 198/27). Let r be (-4)/(-18) + (-2)/o. Calculate the remainder when r - (11 + -4)/(4/(-164)) is divided by 29.
26
Let z(q) = -7*q - 32. Let w be z(-14). What is the remainder when 99 is divided by (-116)/(-6) - (-44)/w?
19
Let j be 6/(-2) + 65/(-5) + 115. Suppose j*h - 84 = 87*h. What is the remainder when 94 is divided by h?
3
Suppose -178*q + 2807819 = 991507. Calculate the remainder when q is divided by 88.
84
Suppose 127 = 20*v - 13. Suppose w + g - 78 = 0, 2*g - 258 = -3*w + v*g. What is the remainder when w is divided by 29?
23
Let q = 4 - -3. Let r = -66400 - -66460. Calculate the remainder when r is divided by q.
4
Let f(l) = -l**2 - 34*l + 768. What is the remainder when f(14) is divided by 32?
0
Suppose -605 = -w - 4*v, -4*w - 5*v = -7*v - 2294. What is the remainder when w is divided by 573?
4
Let z(u) = 299*u - 1369. What is the remainder when 5165 is divided by z(5)?
125
Let h = 42446 - 42278. What is the remainder when h is divided by 135/(-6)*(-2)/1?
33
Suppose 3*f - 14*f = 66. What is the remainder when (12/(-10))/(f/2235) is divided by 45?
42
Let v(b) = 5*b**2 + 19*b - 18. Let j(q) = -9*q**2 - 38*q + 36. Let m(o) = -4*j(o) - 7*v(o). Calculate the remainder when 7 is divided by m(-20).
1
Calculate the remainder when 462 is divided by 362*3/(-45)*(-45)/6.
100
Let a = -44648 + 44677. Calculate the remainder when a is divided by (1/(-2))/(1/(-10)).
4
Let k = 47 - 63. Let y be (-12)/k - (-2 - 33/(-12)). Suppose -4*q + 3*n + 18 = y, -4*q + n - 4 + 18 = 0. What is the remainder when q is divided by 3?
0
Let w = -86 - -106. Suppose 16*u = 6*u + 300. Suppose -35*o + w = -u*o. Calculate the remainder when 30 is divided by o.
2
Let v = 13 - -3. Suppose 4*g = v, 50 = 3*n + g - 128. Let s = n + -20. What is the remainder when 74 is divided by s?
36
Suppose 3*o + 126 = 10*o. Suppose -o*l - 75 = -23*l. Calculate the remainder when 89 is divided by l.
14
Let s(v) = 2*v**2 + 24*v - 11. Let q be s(-7). Let m = 108 + q. What is the remainder when 42 is divided by m?
15
Let p = 42 + -18. Suppose -5*u - 1241 = 4*l, -7*l = -4*u - 11*l - 992. Let j = 295 + u. What is the remainder when j is divided by p?
22
Suppose -2*x - t = -28, 2*x - 3*t - 36 = -6*t. Suppose -8*v + 204 = x. Calculate the remainder when 53 is divided by v.
5
Let j(r) = 8*r**2 + 6*r - 363. Calculate the remainder when j(14) is divided by 11.
2
Suppose j + 2*s = 25274, -143*j = -148*j + 2*s + 126382. What is the remainder when j is divided by 66?
64
Let c = 330 + -412. Let k = c - -95. What is the remainder when 739 is divided by k?
11
Suppose -134*f = -132*f - 2*i - 5402, -4 = -2*i. Calculate the remainder when f is divided by 22.
19
Suppose -406 + 186 = 11*s - 33*s. Let n(h) = -h**2 - 20*h - 11. Calculate the remainder when s is divided by n(-19).
2
Let h(l) = 18*l**2 - 136*l - 698. Calculate the remainder when h(-5) is divided by 425.
7
Suppose -2*r = k - 7648, -3*k - 918 + 4757 = r. Calculate the remainder when r is divided by 17.
13
Calculate the remainder when 2/(-12) + (7 - 367/(-6)) is divided by 64.
4
Let b(v) = -9*v - 9. Let p = 4 + 95. Calculate the remainder when p is divided by b(-5).
27
Let d = 2045 + -1987. What is the remainder when 574 is divided by d?
52
Let k(t) = 10*t + 21. Let y be k(-11). Let n be 1236/(-8)*2/3. Let w = y - n. What is the remainder when 83 is divided by w?
13
Suppose -58*t + 54*t = 3*r - 40, -75 = -5*r - 5*t. Calculate the remainder when 28 is divided by r.
8
Let x(d) = 9*d**2 - 4. Suppose 4*q + 2*k = 88, 111 + 1 = 5*q + 2*k. Let g be (2/8)/(3/q). What is the remainder when x(g) is divided by 5?
2
Suppose 12*d - 4507 - 1061 = 0. Let p = d - 380. Calculate the remainder when p is divided by 30.
24
Suppose -16*g - 1550250 = -391*g. What is the remainder when g is divided by 43?
6
Let r(i) = i**3 - 9*i**2 - 2. Let s be r(11). Suppose -6*x = -5*m - x + s, 0 = -5*x - 10. Calculate the remainder when 81 + (79 - 7)/9 is divided by m.
43
Suppose -35*o + 30*o - 3*n = -759, 0 = -8*o - 3*n + 1209. What is the remainder when 447 is divided by o?
147
Let n be 16/9 - (-2 - (-96)/54). Let b be (-2 + (-3)/(-2))*-6. Suppose 5*k + 13 = b*j, n*k + 0*k - 30 = -2*j. What is the remainder when j is divided by 6?
5
Let o = 25239 + -24965. What is the remainder when 1571 is divided by o?
201
Suppose 4*c + 2*y = 356, -2*c - 5*y + 107 = -c. Calculate the remainder when c is divided by 4 - 36/10 - 159/(-15).
10
Let d(r) = 324*r + 4464. Calculate the remainder when d(-13) is divided by 64.
60
Let r = 25 + -12. Let c(m) = -13*m + 6. Let u be c(-6). Suppose -5*n + 250 = -2*v, -2*n + u = 2*v - 16. What is the remainder when n is divided by r?
11
Suppose -2*r = -4*g - 688, 676 = 2*r - g - 0*g. Suppose 710*m - 703*m = r. What is the remainder when (0 + (-1)/(-1))*95 is divided by m?
47
Calculate the remainder when 5832 is divided by ((40/(-6))/4)/((-17)/(-1683)*-11).
12
Suppose -634*n + 45881 + 174751 = 0. Calculate the remainder when n is divided by 164.
20
Suppose 32 = 5*o + 11*o. Suppose 3*m = -o*z + 119, -3*m = -z - 17 + 72. What is the remainder when z is divided by 21?
16
Let x = 19 - -41. Let g(a) = 31 + 20*a + 5*a - 24*a. What is the remainder when x is divided by g(-15)?
12
Let c = -6862 - -6875. Calculate the remainder when 1609 is divided by c.
10
Let o(l) be the first derivative of 7*l - 34*l - l**2 + 3 + 4 + 0*l**2. Calculate the remainder when 4 is divided by o(-14).
0
Suppose 26*i - 24*i = -5*s + 120, -48 = -2*s + i. Suppose 5*m = -f, -s*m = f - 23*m - 12. What is the remainder when f is divided by 3?
0
Suppose 0 = b - 217 + 95 - 237. What is the remainder when b is divided by 354?
5
Suppose 5*p + u = 153, 0 = 5*p + 108*u - 112*u - 163. Let w(c) = -4*c - 3. Calculate the remainder when p is divided by w(-6).
10
Let m(v) = 197*v**3 + 2*v. Let u be m(1). Let i = u + -160. Calculate the remainder when 191 is divided by i.
35
Calculate the remainder when (-276)/(-34) - (18 + -10) - 4552/(-34) is divided by 28.
22
Suppose 4*t - 12 = -2*m + 2*t, -t = -m. Suppose 0 = m*h - 863 + 134. What is the remainder when h is divided by ((-98)/8)/(37/(-148))?
47
Suppose c - 5*g - 40 + 3 = 0, -2*c + 41 = g. What is the remainder when 112 is divided by c?
2
Suppose -13*b = -440 - 912. What is the remainder when b is divided by 74?
30
Suppose -245 - 712 = -26*z + 395. Let m = 29 + -11. Calculate the remainder when z is divided by m.
16
Let b(w) = w**3 - 38*w**2 + 72*w + 12. Let p be b(36). Suppose p*q - 411 = 129. What is the remainder when q is divided by 7?
3
Suppose -68*v - 168*v = 71*v - 582072. What is the remainder when v is divided by 174?
156
Suppose 12115*i - 12144*i = -63075. What is the remainder when i is divided by 128?
127
Let x(w) = -318*w**2 + 10*w - 2. Let g be x(1). Let s = -257 - g. Calculate the remainder when s is divided by 9.
8
Let i(r) = r**2 + 7*r - 39. Let a be (-5 + 1)/(-1*14/21). Calculate the remainder when 145 is divided by i(a).
28
Let o(h) = 4*h - 60. Let l = 3 + 27. Suppose -n + 3*n = l. Calculate the remainder when o(22) is divided by n.
13
Suppose -2*u + 3*p - 13 = -117, 0 = -2*u + 5*p + 112. What is the remainder when 3032 is divided by u?
42
Let z(b) = b**3 - 2*b. Let d(c) = -c - 1. Let r(x) = -4*d(x) + z(x). Let v be r(0). Let y = 27 - v. Calculate the remainder when y is divided by 9.
5
Suppose -2*b + 154 = 4*h, 5*h - 2*b - 1112 = -888. Calculate the remainder when 250 is divided by h.
40
Suppose 2*h + 130 = 7*h. Suppose 5*r = 15, x + 8*r + 336 = 3*r. Let k = x - -452. Calculate the remainder when k is divided by h.
23
Let o be 100/(90/(-9))*(-22)/(-5). What is the remainder when 119 is divided by (o/20)/(3/(-15))?
9
Suppose -6*q = -2*q + 32. Let k = 17 + q. Calculate the remainder when 1/(((-448)/(-245))/64) is divided by k.
8
Suppose 0 = -34