.
5
Let u be (-4 + -2)*(-14)/4. Suppose 53 = 4*y - 3*l, 0*y + 26 = 3*y - 5*l. Suppose -u + y = -f. What is the remainder when 14 is divided by f?
2
Suppose 182*y - 204*y + 8409 + 8091 = 0. What is the remainder when y is divided by 46?
14
Suppose -16*g - 51 = -17*g. Let d = -57 + g. Let f(w) = -w**3 - 7*w**2 - 7*w + 12. What is the remainder when 71 is divided by f(d)?
17
Let c = -25810 - -29914. What is the remainder when c is divided by 12?
0
Suppose -8*q + 340 = -4*q + p, -254 = -3*q - p. Let x = -11 - -14. Suppose 5 = f, -x*f + 160 = 5*l - 0*f. What is the remainder when q is divided by l?
28
Let j be -11 - (2 + -7) - 295. Let t = -225 - j. Calculate the remainder when t is divided by 11.
10
Suppose 0 = -2*y - 8, 5*p - 7*y + 12*y = -10. Suppose -59*w = -68*w + 522. What is the remainder when w is divided by p?
0
Let w = -8 + 14. Let c(q) = -5 - 6 - 3*q + 3*q**2 - 2*q**2 + 2*q. Calculate the remainder when 35 is divided by c(w).
16
Calculate the remainder when 7168 is divided by 17 - (-12)/36*-21.
8
Suppose -2*c + 25 = 3*c. Suppose 0*z + c*o + 30 = z, 0 = 4*z + 4*o - 24. Calculate the remainder when (39/(-5))/((-9)/45) is divided by z.
9
Calculate the remainder when ((-162)/(-30) + -9)/((-2)/545) is divided by 245.
1
Let z = 667 + -469. Suppose 0 = 44*c - 50*c + z. What is the remainder when c is divided by 21?
12
Let d = 2548 - 1444. Calculate the remainder when d is divided by 1102.
2
Let o = -101 + 141. Let b be (-37)/7 + (o/28)/5. What is the remainder when 76 - (b + 4 - -4) is divided by 25?
23
Let z(o) = o**3 + 123*o**2 + 1134*o + 590. What is the remainder when 674 is divided by z(-113)?
122
Let h = 269 - 265. Suppose -41 - 19 = -h*y. What is the remainder when 1063 is divided by y?
13
Suppose -12 = 4*v, 40*g - 44*g = -v - 711. Suppose -16*p = 3*d - 20*p - 198, -g = -3*d - 3*p. What is the remainder when d is divided by 21?
20
What is the remainder when (-15 - (-312)/16)*1194/27 is divided by 45?
19
Suppose -5*r - 30 = -15*r. Suppose -4*p + 5*s = -136, -r*p + 133 = -2*s + 6*s. Calculate the remainder when (p/2)/(24/128) is divided by 22.
16
Suppose 0 = -26*x - 1334 + 7106. Let j = -662 - -719. What is the remainder when x is divided by j?
51
Calculate the remainder when 222 is divided by (-72)/96*(2 + -30).
12
Suppose 5*g + 15 = 0, g + 27 = -2*b - 4*g. What is the remainder when 1 - -82 - (7 + b) is divided by 25?
7
Let s(l) = l**3 - 18*l**2 + 3*l - 38. Let n be s(18). Let u(j) = j**2 - 7*j + 8. What is the remainder when u(n) is divided by 26?
22
Let q(u) = u**2 + 38*u - 213. Let f be q(-43). Suppose 3*z = -6*h + 273, f*h + 105 = 2*z - 107. What is the remainder when z is divided by 32?
5
Suppose 0 = 4*w - 5*a - 1114, -20*a = -25*a + 10. Calculate the remainder when w is divided by 36.
29
Let w(l) = -17*l + 39. Let d be w(6). Let m = 270 - d. Calculate the remainder when m is divided by ((-5)/10)/((-2)/168).
39
Let p(l) = -84*l**2 - 48 - 25 + 10*l + 94*l**2. What is the remainder when p(4) is divided by 32?
31
Suppose 160832 = 417*m - 58*m. What is the remainder when m is divided by 185?
78
Let s = 2797 - 883. Calculate the remainder when s is divided by 62.
54
Let j(y) = 2*y + 58. Suppose 3*z = i - 0 + 9, -4*i - 5*z = 2. What is the remainder when ((4/(-20))/(-1))/(i/(-165)) is divided by j(-24)?
1
Let o(r) = r**2 - 71*r + 1813. Calculate the remainder when o(29) is divided by 13.
10
Let s = -8047 + 8730. What is the remainder when s is divided by 117?
98
What is the remainder when 265 is divided by (-9 - -6 - -7)/((-2)/(-58))?
33
What is the remainder when (-200)/180 + 39712/36 is divided by 27?
22
Suppose -68*d + 121*d - 63*d + 560 = 0. What is the remainder when 164 is divided by d?
52
Suppose -74 = q - 92. What is the remainder when 4461 is divided by q?
15
Let v(s) = 28*s**2 - 203*s + 202. What is the remainder when 1546 is divided by v(1)?
7
Let z(a) = 3*a + 157. Let t(o) = o**3 + 27*o**2 + 28*o + 26. Let q be t(-26). What is the remainder when z(q) is divided by 21?
16
Suppose 42 = -4086*m + 4065*m + 420. What is the remainder when 6280 is divided by m?
16
Suppose -3*q = -3*f, 4*q + 3 = -3*f + 6*f. Let l(w) = -111*w + 72. What is the remainder when l(q) is divided by 17?
14
Let x(a) be the second derivative of a**4/4 - 31*a**3/6 - 51*a**2 - 3*a - 31. Calculate the remainder when x(-4) is divided by 19.
13
Let m = -49 - -45. Let r be 1/2 - (-18)/m. Let f(j) = -j**3 + j**2 + 7*j + 17. Calculate the remainder when f(r) is divided by 12.
9
Let m(t) = t**3 - 20*t**2 + t + 27. Let a(h) = 3*h + 20 - 41 + 23. Let z be a(6). Calculate the remainder when m(z) is divided by 17.
13
Let n = 3962 - 3686. What is the remainder when n is divided by 92?
0
Calculate the remainder when 1333 is divided by 128/20 + -6*(-4)/(-60).
1
Let k be (27/54)/(1/16). Suppose -k*f = -51*f + 1462. What is the remainder when 167 is divided by f?
31
What is the remainder when 300/(-30) - (-282 + 2) is divided by 139?
131
Let i(s) = 16*s**2 - 21*s - 57. Calculate the remainder when i(-6) is divided by 13.
8
Let k(r) = r**2 - 8*r. Let b be k(7). Let m be (-2 + 1)*(3 + -4)*b. Let n(f) = f**3 + 7*f**2 - 6*f - 4. What is the remainder when n(m) is divided by 15?
8
Let p be (-1030)/(-25) - 3/15. Let g = p - 37. Suppose 194 = g*c + 6. What is the remainder when c is divided by 24?
23
Let d(i) = -37*i + 7*i**2 - 13 - 5 - 3*i**2 + 0*i**2. Suppose -2*x = 2*x - 272. Calculate the remainder when x is divided by d(10).
8
Let w be (-159 + 33)*(-2)/3. Calculate the remainder when 12 is divided by (2 - (-15)/(-7)) + 432/w.
2
Let w = -716 + 1070. What is the remainder when w is divided by (5/(-29 - 16))/(14/(-2142))?
14
Let b be (-9)/(-4) - (-1)/(-4). Suppose 3*z = -b*z + 2*z. Suppose 11*u = 209 - z. Calculate the remainder when 55 is divided by u.
17
Suppose 44*w - 309 = 747. Calculate the remainder when (-1 + 44)/1 + -1 is divided by w.
18
Let g be (0*(1 - 0))/(-2). Suppose -4*u = g, 32 = -d - 0*u - 5*u. Let h = 67 + d. Calculate the remainder when h is divided by 12.
11
Let r = -5 + 81. Calculate the remainder when r is divided by (-6282)/(-5933)*(-102)/(-4).
22
Suppose -4*q + 5*w + 481 = 0, 5*w - w - 12 = 0. Let h = q + -114. Let b = 8 - -11. Calculate the remainder when b is divided by h.
9
Suppose 10*g - 8 = 2. Calculate the remainder when 221 is divided by (g*(17 + -5))/((-3)/(-8)).
29
Let p = 322 + -187. Suppose 0 = 4*r + r - p. Suppose 0 = -b + 6. What is the remainder when r is divided by b?
3
Let g be -42*((-128)/28 - -4). Let j = g + -4. What is the remainder when j is divided by (6/(-5))/((-1)/10)?
8
Let z(q) = q**3 + 7*q**2 - 17. Let y be z(-5). Suppose y = 22*x - 19*x. Let l = 56 + -15. Calculate the remainder when l is divided by x.
8
Let r(v) = 7*v - 67. Let q be r(15). Suppose 0 = -3*j, 14*f - 12*f = 2*j + q. What is the remainder when 378 is divided by f?
17
Let k = -197 + 185. Let i(h) = -2*h**3 - 23*h**2 + 11*h + 5. Calculate the remainder when 198 is divided by i(k).
11
Let g(m) = 3*m + 35. Let p be g(-11). Let f be (9/p)/(4/104). Suppose -f = -4*s + 47. What is the remainder when 122 is divided by s?
40
What is the remainder when 1217 is divided by (-2)/((-96)/575 + (276/(-300) - -1))?
21
Let y = -5205 + 6452. What is the remainder when y is divided by 210?
197
Let u = -4548 + 4588. Calculate the remainder when 169 is divided by u.
9
Let k = -110 - -195. Suppose 136 = 93*x - k*x. Calculate the remainder when 63 is divided by x.
12
Let y(r) = 4*r**2 + 29*r + 40. Suppose 3*w - d = -20, 3*w - 41*d + 43*d = -23. Calculate the remainder when 184 is divided by y(w).
19
Let o = -1101 - -1243. Calculate the remainder when 373 is divided by o.
89
Let y(g) = -g**3 + 51*g**2 - 26*g + 1744. What is the remainder when y(48) is divided by 68?
64
Suppose 4*z - 3176 = o, -4*o + 9*o - 3176 = -4*z. Suppose -2*r + 3*m + 274 = 0, 5*r + m + 92 = z. Calculate the remainder when r is divided by 47.
46
Let k(q) = -4*q + 32. Let o be k(7). Suppose -o*p + 12 = 0, -3*i + 3*p = -9 - 18. What is the remainder when 33 is divided by i?
9
Let s(n) = n**3 - 7*n**2 - 8*n + 7. Let h(i) = i**3 - 14*i**2 + 29*i - 11. Let r be h(13). Let b = r + -184. What is the remainder when b is divided by s(8)?
6
Suppose -3190 - 17342 = -12*a. What is the remainder when a is divided by 101?
95
Let 