he remainder when 8502 is divided by f?
6
Let b be (-8)/4 - (-16 + 1 + -1). Suppose 4*n - 13*p + 16*p - 27 = 0, -2*n - 2*p + 16 = 0. What is the remainder when (2/((-4)/b))/(30/(-120)) is divided by n?
1
Calculate the remainder when 13358 is divided by 3/((-23350)/3340 + 7).
332
Suppose -4*w - 6 = 4*r + 46, -w = 2*r + 22. Calculate the remainder when 1 + (-1 - (-82 + 0)) is divided by 204/r*(-57)/76.
14
Suppose -1353 = -9*v - 8 + 212. Calculate the remainder when v is divided by 82.
9
Suppose 14*c + 29036 = 29596. What is the remainder when 1475 is divided by c?
35
Let i(t) = -t + 10. Let f = -1479 + 1557. Suppose 34 = 16*a - f. What is the remainder when a is divided by i(7)?
1
Suppose -8400 = 717*d - 725*d. What is the remainder when d is divided by 520?
10
Suppose 5*o - x = 45, o - 18 = -0*o + 2*x. Let n(t) = t**3 - 3*t**2 - 31*t + 40. Calculate the remainder when n(o) is divided by 60.
52
Suppose 6*l - 2*l = -0*l + 200. Calculate the remainder when 2747 is divided by l.
47
Let j(i) = 3*i - 3. Let h be j(2). Suppose -4 = -r + 11. Suppose -3*n + 45 = u, -n + 2*n = -h*u + r. Calculate the remainder when n is divided by 9.
6
Calculate the remainder when 3 + 1102 - -5*((-123)/(-15) + -9) is divided by 70.
51
Suppose 64*w = 87867 + 188021 - 69552. What is the remainder when w is divided by 101?
93
What is the remainder when 779 is divided by ((-5577)/(-15) - -2) + 267/(-15) + 17?
33
Let m(b) = -22*b - 1. Let l be (-69)/(-6) + -12 + 479/2. Suppose 11*i - 360 + l = 0. What is the remainder when m(-1) is divided by i?
10
Let c(w) = -77*w + 16. What is the remainder when 5205 is divided by c(-1)?
90
Let z(j) = 17*j**3 + j**2 + 10*j - 8. Let q = 125 + -177. Let k = 5 - q. What is the remainder when k is divided by z(1)?
17
Suppose 4*a = -4*m + 136 + 316, 2*a + 334 = 3*m. Calculate the remainder when m is divided by ((-4028)/530)/((-1)/5).
36
Let b(f) = -f**3 - 20*f**2 - 22*f - 23. Let g be b(-19). Suppose -g = -2*o + 2*u, -o + 4*o + 5*u - 35 = 0. Calculate the remainder when 85 is divided by o.
10
Let p = -57 + 96. Suppose 41 = -4*c - p. Calculate the remainder when 19 is divided by 3 + (-4 + 0)*c/10.
8
Suppose 0 = 5*c - 12 - 13. Suppose -t - 220 = -2*k, -6*k + c*t = -3*k - 323. Suppose 12 = p - 11. Calculate the remainder when k is divided by p.
19
Let z(s) be the first derivative of -s**4/4 + 7*s**3/3 - 5*s**2/2 + 8*s - 1. Suppose -28*q - 140 = -4*q - 764. What is the remainder when q is divided by z(6)?
12
Calculate the remainder when 13 - (-1660 + -2 - -13) - -6 is divided by 212.
184
Let l = -257 + 269. Let v = 42 - -4. What is the remainder when v is divided by l?
10
Let a = 2844 - 2611. Calculate the remainder when a is divided by 79.
75
Suppose -d - 2*d = -147. Let y = 96775 + -96661. Calculate the remainder when y is divided by d.
16
Let q(v) = -v - 88. Let x(z) = z + 175. Let o(m) = -5*q(m) - 2*x(m). What is the remainder when 62 is divided by o(-26)?
2
Let t = 3039 - 2975. Let l = 925 + -608. Calculate the remainder when l is divided by t.
61
Suppose 5*k - 5*g + 1118 = 8*k, -5*k = -g - 1826. Suppose 2*z - 4*z + 482 = 0. Let v = k - z. What is the remainder when v is divided by 32?
29
Suppose -592 = -3*r - 13*r. What is the remainder when 5/2*-636*12/(-180) is divided by r?
32
Suppose u - 303 = -3*p, p = -u + 113 + 174. What is the remainder when 1406 is divided by u?
11
Let d = 1291 + -1167. What is the remainder when 6 + 6 + (d - -1) is divided by (-20)/6*6/(-1)?
17
Calculate the remainder when 145084/(24 - 70)*(-1)/((-4)/(-2)) is divided by 176.
169
Suppose 5*w - 118 = -18. Let f be (3/15)/((-4)/w). Calculate the remainder when 97 is divided by 27 - (5 + f - 2).
22
Let n be (-1540)/11*(-8)/10. Suppose -n*t = -111*t - 5. Calculate the remainder when 24 is divided by t.
4
Let h be 356/24 - 1/(-6). What is the remainder when 128 is divided by (-32)/24*h/(-2)?
8
Suppose -4*q = 3*s + 2*s - 1595, 5*s = -2*q + 1595. Calculate the remainder when s is divided by 37.
23
Let r(x) = 5*x + 17. Let n be (53 + 2 + 0)/1. Suppose m = -4*m + n. What is the remainder when r(2) is divided by m?
5
Let s(y) = 3*y**2 - 133867*y - 6 + 133878*y + 3 - y**2. Let m be ((-4)/3)/((-2)/(-12)). Calculate the remainder when 145 is divided by s(m).
34
Let w = -1005 - -1200. Calculate the remainder when w is divided by 10.
5
Suppose 5*f = -0*i - 2*i + 183, -165 = -2*i + f. Calculate the remainder when i is divided by (-17)/((-85)/(-20)) - -21.
16
Suppose -19357*w = -19370*w + 147823. What is the remainder when w is divided by 17?
15
Suppose 0 = -66*o + 58*o + 18624. Calculate the remainder when o is divided by 5.
3
Suppose -1 - 126 = -n - 2*v, 0 = 2*v - 12. What is the remainder when n is divided by 9?
7
Let q = 5072 + -4893. What is the remainder when 196 is divided by q?
17
Suppose 2*v = -2*o + 61 + 39, 3*o - 150 = 5*v. Suppose -3*r + 1390 = 4*m, m + 2*r - 354 = -2*r. Calculate the remainder when m is divided by o.
46
Let i(n) = -3*n + 1043. Calculate the remainder when i(51) is divided by 33.
32
Let d(x) = -19*x - 1. Suppose -145 = 2*r - 7*r + h, 4*r - 2*h - 116 = 0. Suppose b - 21 = r. What is the remainder when b is divided by d(-1)?
14
Suppose -5*n - h = -84 - 12, n = 2*h + 17. Let w(k) = 7*k + 1. Calculate the remainder when w(5) is divided by n.
17
Let c = 1949 + -1368. What is the remainder when c is divided by 15?
11
Suppose 6*b = 8*b - 92. Suppose -4*f - b = -n, n - f + 101 = 3*n. Calculate the remainder when n is divided by 6.
2
Let b(s) = s**3 - 52*s**2 + 4*s - 75. Let p(n) = -3*n**3 - n**2 + 3*n + 3. Calculate the remainder when b(52) is divided by p(-2).
14
Let i = 5 + -5. Suppose -j - 5*u = -49, -3*j - 5*u + 42 + 55 = i. What is the remainder when j is divided by 6/21 + (-30)/(-63)*33?
8
Let z(i) = -599*i - 503. What is the remainder when z(-2) is divided by 72?
47
Let n(i) = 303*i - 864. What is the remainder when n(5) is divided by 71?
12
Suppose 28*r - 36 = 22*r. Suppose 5*d = 5*s - 85, -9 = -2*d + 1. Calculate the remainder when (-1)/(-2)*(s - 2) is divided by r.
4
Let y(n) = -8*n + 11. Let b be y(8). Let k = b - -85. What is the remainder when 125 is divided by k?
29
Suppose 5*r + 82*l - 79*l - 171 = 0, 4*l - 60 = -2*r. Let k(f) = 16*f - 6. Calculate the remainder when k(5) is divided by r.
2
Let h(d) = -52 + 58 - 106 + 7 + 176*d. What is the remainder when h(4) is divided by 36?
35
Let a(b) = -3*b + 63. Let i be a(19). Let l = 41 + -9. Calculate the remainder when l is divided by 102/12 + i/4 - -2.
8
Let t(f) = -f**3 + 14*f**2 - 22*f + 12. Suppose 0 = -4*z - 12*z + 144. What is the remainder when t(z) is divided by 17?
15
Let l = -7 + 16. Let j(o) = -4*o + 2. Let n be 2*(-3 - (4 - 4)). What is the remainder when j(n) is divided by l?
8
Let g = 301 - 267. Let f(j) = 2*j - 28. What is the remainder when g is divided by f(17)?
4
Let r be (-2 + 11)*4/(-6). Let m(z) = z**3 + 7*z**2 + 3*z - 4. Let v(w) = -19*w + 2. What is the remainder when v(-2) is divided by m(r)?
12
Let w be (-1)/(-20)*4 + (-39767)/(-65). Suppose -4*k - 13*k = -w. Calculate the remainder when 57 is divided by k.
21
Let v(k) = -k**3 + 6*k**2 + k - 22. What is the remainder when 1719 is divided by v(4)?
11
Suppose -67*n - 4821 + 35507 = 0. What is the remainder when n is divided by 222?
14
Suppose 37*l - 140*l + 6386 = 0. Calculate the remainder when 7996 is divided by l.
60
Let q(c) = -6*c**3 - c - 15. Let s(y) = 13 - y**2 + y**2 - 14 - y**2 - y**3. Let t(a) = -q(a) + 5*s(a). Calculate the remainder when t(5) is divided by 8.
7
Let o be (-48)/24*-1*1. Suppose 0 = -3*j - 6*z + z + 2, o*z = 4*j - 46. What is the remainder when (24 + 19)*(1 + 0) is divided by j?
7
Let s(n) = -n**3 + 11*n**2 + 14*n + 38. Let z be s(11). Suppose 0 = -h + 5*j + 66, -2*j = 4*h + 2*j - z. Calculate the remainder when h is divided by 30.
21
Let o(f) = 94*f - 5122. What is the remainder when 62 is divided by o(55)?
14
Suppose 68 = 5*t - t. Suppose 5*u - 28 = -y, y - 6*u = -3*u - 4. Calculate the remainder when 70 is divided by y*(-2 + t/4).
16
Let a(r) = 2*r**2 + 184*r + 464. Calculate the remainder when 392 is divided by a(-90).
80
Let x = 3 - 1. Suppose 4*h - 439 = -5*w, 0 = x*h - 3*h + 4*w + 115. Calculate the remainder when h is divided by ((-9)/(-6))/((-13)/(-26))*28/3.
27
Suppose -57 + 263 = 22*a - 190