 f + s = 0. What is the remainder when 18 is divided by f?
0
Suppose -25 = -2*c + 5*s, -5*s - 25 = -9*c + 8*c. Suppose 2*y + 53 = 5*x - 37, -3*y - 15 = c. What is the remainder when 109 is divided by x?
13
Suppose -g = g - 172. Suppose -s - 3*d = -11, -4*s - 1172*d = -1177*d - 44. What is the remainder when g is divided by s?
9
Suppose 0*f - 2*f = -52. Let j(m) = m**2 + 8*m + 16. Suppose 0 = -g - 6 - 1. Calculate the remainder when f is divided by j(g).
8
Suppose -2740 + 472 = -36*q. What is the remainder when 84 is divided by q?
21
Let y(o) = 8*o**3 - 5*o**2 + 17*o - 73. What is the remainder when y(4) is divided by 23?
13
Let j = 70 + 157. Suppose -2*y = 4*w - 311 - j, 3*y = 3. Calculate the remainder when w is divided by 46.
42
Suppose s - 38 = -113*k + 111*k, k = 5*s - 223. Calculate the remainder when 143 is divided by s.
11
Let g(w) = -w**3 - 2*w + 1. Let x be g(1). Calculate the remainder when 7/1*(x + 4) is divided by (216/40 - 6/(-10))/2.
2
Suppose -4*m + 10 = m. Let k(h) = -h**2 - 143*h - 2836. What is the remainder when k(-24) is divided by m?
0
Calculate the remainder when (10172/8)/((-234)/(-104) - 2/1) is divided by 32.
30
Suppose 1094 = 7*y - 6727 + 688. Calculate the remainder when y is divided by 337.
8
Suppose 5*f = 4*b + 32 + 2, 0 = -2*b - 2. What is the remainder when (-24)/(-42) + (-262)/(-7) is divided by f?
2
Suppose 1331 = 22*g + 297. What is the remainder when 12689 is divided by g?
46
Calculate the remainder when (-110)/(-1100) - 31898/(-20) is divided by 14.
13
Let d = -110 - -104. Let u be 119 + 3*(-10)/d. Suppose 5*k + 4*t - 147 = 0, u - 10 = 4*k + 5*t. Calculate the remainder when 90 is divided by k.
28
Suppose 0*o = -2*x + 2*o + 28, x + o = 10. Let l(q) = q**2 - 9*q - 15. Let h be l(x). Suppose -7*z + h = -14. What is the remainder when 5 is divided by z?
0
Suppose -62 = -3*b + 34. Calculate the remainder when b is divided by (-19 + (-1 - 1) + -1)/(-111 - -109).
10
Let w be (-1*18)/(12/8). Let a(s) = -35*s - 249. Calculate the remainder when a(w) is divided by 22.
17
Let p(b) = -15*b + 43. Let w be p(-7). Let a = w + -102. What is the remainder when a is divided by -1 + 2/(2/7)?
4
Let d(l) = 2*l**3 - 35*l**2 - 57*l + 40. What is the remainder when 291 is divided by d(19)?
11
Let k(t) = 169*t - 19723. Calculate the remainder when 3562/8 + 15/20 is divided by k(117).
46
Suppose 65 - 75 = -3*l - 2*w, 3*l = -3*w + 12. Suppose 2*c - 162 = 4*m, l*c + 2*m + 0*m = 180. What is the remainder when c is divided by 22?
21
Let h(a) = 254*a**2 + a - 2. Calculate the remainder when h(1) is divided by 24.
13
Suppose -31616 + 45176 = 444*w - 234636. Suppose 0 = u - 3*k - 46, 6*k - k = 4*u - 170. What is the remainder when w is divided by u?
39
Suppose -26*a = -30*a + 12. Suppose 0 = -a*p + 65 + 16. What is the remainder when 132 is divided by p?
24
Let g = 20733 - 19993. Calculate the remainder when g is divided by 53.
51
Suppose 0 = -2*j - 6, 5*l + 5*j + 0 - 15 = 0. Suppose 0 = 5*a - 3*a - 194. Suppose 21 + a = 2*s. Calculate the remainder when s is divided by l.
5
Let l(u) = 26*u**2 - 30*u + 2. What is the remainder when l(4) is divided by 110?
78
Let u(o) = 20*o - 146. Calculate the remainder when u(17) is divided by (-28)/(-6)*5202/357.
58
Let y(c) = -2*c**3 - 2*c**2 - c. Let x be y(0). Suppose 4*a - 53 - 3 = x. Calculate the remainder when 97 is divided by a.
13
Let f be (12 + 3 + -1)/(-2). Let a(k) = -17*k + 12. Suppose -t = 3*y - 34, 4*y + 75 = 6*t - t. Calculate the remainder when a(f) is divided by t.
17
Let r(o) = -o**2 + 13*o + 4. Calculate the remainder when (-1213)/(-27) + (-4 - (-1100)/270) is divided by r(11).
19
Let z(c) = 30*c**3 + 6*c - 24. What is the remainder when z(2) is divided by 19?
0
Let b be 3/((-6)/186*-3). Suppose 26*t + 80 = b*t. What is the remainder when 33 is divided by t?
1
Suppose -29*j + 4149 = -9278. What is the remainder when j is divided by 313?
150
Let y = -381 - -627. Let x = y + -218. Calculate the remainder when 129 is divided by x.
17
Let d(y) = -y**2 + 18*y - 12. Let z be d(6). Suppose 9*n = 13*n - z. Calculate the remainder when ((-35)/n)/((-1)/3 + 0) is divided by 4.
3
Let t(g) = 4*g**2 - 26*g + 8. Let p(q) = -1. Let d(s) = -4*p(s) - t(s). Calculate the remainder when 44 is divided by d(6).
4
Suppose -q - 3 = -7. Suppose 4*m = -0*m + q. Let t(s) = 3*s**3 + 34*s**2 + 13*s + 23. Calculate the remainder when m is divided by t(-11).
0
Let d = -63 - -56. Let y = 9 - 10. Let h = y - d. What is the remainder when 23 is divided by h?
5
Suppose -73*h + 2964 + 1416 = 0. What is the remainder when 119 is divided by h?
59
Let z = 5674 + -5639. Calculate the remainder when 99 is divided by z.
29
Let b(m) = -4*m**2 + 16*m. What is the remainder when 81 is divided by b(2)?
1
Suppose 84 = 2*q - 4*j, -4*j = q - 100 + 70. Calculate the remainder when 18238 is divided by q.
36
Suppose 0 = -0*l + 13*l. Suppose l*t = 6*t - 156. Calculate the remainder when 124 is divided by t.
20
Suppose -i + 28 = i. Suppose 4*u + 84 = 4*p, 108 = u + 112. Let d(t) = -t**3 + 22*t**2 - 82*t - 26. What is the remainder when d(p) is divided by i?
11
Let i = -2816 - -3062. Calculate the remainder when i is divided by 32.
22
What is the remainder when 338 is divided by (-6)/(-15) - ((0 - 1) + (-2530)/50)?
26
Suppose -1008 + 486 = -4*t + 5*k, -2*k + 12 = 0. Calculate the remainder when 1683 is divided by t.
27
Let o = 19603 - 19586. What is the remainder when 4886 is divided by o?
7
Let j(b) = 69*b + 406. Let w be j(-6). Let i(g) = 4*g**2 + 14*g + 57. Let l = 28 + 23. Calculate the remainder when i(w) is divided by l.
48
Let v be ((-18)/(-21))/3 + 794/14. Suppose -5*d - v = 2*q, q = -5*d - 4 - 52. Calculate the remainder when (d - -10) + (0 - -16 - 2) is divided by 8.
5
Suppose -5*s + 1 - 26 = 0, -g + 66 = 2*s. Calculate the remainder when 4558 is divided by g.
74
Let w = -3070 + 3107. Calculate the remainder when 68 is divided by w.
31
Suppose -o - 207 = -4*f + 3074, -814 = -f - o. Suppose 975 = 13*m - f. Calculate the remainder when m is divided by 37.
27
Suppose -q + 2 = -2, 0 = -2*j - 5*q + 184. Let i be j/(-4) - (7/(-2))/(-7). What is the remainder when (-56)/(-21)*i/(-4) is divided by 11?
3
Suppose 51*h = 183*h - 34848. Calculate the remainder when h is divided by 104.
56
Let z be -52 - -49 - 2/((-2)/(-10277)). What is the remainder when 50 is divided by 2/(-16) + z/(-320)?
18
Let s be 2 - 0 - (-112 - -6). Let o = -75 + s. Calculate the remainder when o is divided by 24.
9
Let w(i) = -5 + 30*i + 3 - 8*i**2 - 48*i - i**3. What is the remainder when 164 is divided by w(-5)?
8
Let s(v) = 70*v - 46. Let w be s(-2). Let f = w - -224. What is the remainder when f is divided by 8?
6
Let s be 1/2 - (-152790)/44. Suppose 23*m = 161 + s. Calculate the remainder when m is divided by 16.
14
Let n = -69 - -99. Let w = -643 + 692. What is the remainder when w is divided by n?
19
Let c(f) = 2*f**2 + 35*f + 147. Calculate the remainder when 457 is divided by c(-4).
28
Let k(y) = y**3 + 17*y**2 + 42*y + 354. Calculate the remainder when k(-13) is divided by 62.
50
Let k(g) = -558*g + 39. Calculate the remainder when k(-23) is divided by 74.
71
Suppose -5*c = -2*i - 170, 4*c - 26*i + 21*i - 153 = 0. What is the remainder when 2782 is divided by c?
30
Let w(y) be the second derivative of -y**5/20 + 5*y**4/6 - 4*y**3/3 + 11*y**2/2 + 3*y. Let j = 1441 + -1404. What is the remainder when j is divided by w(9)?
17
Let l(d) = -14*d - 169. Let k be l(-13). Suppose k*g - 120 = 5*g. Calculate the remainder when 86 is divided by g.
11
What is the remainder when 124 is divided by 18 - (35/14)/((-54)/12 + 5)?
7
Let c(a) = a**3 + 3*a**2 - 7*a + 1. Let w = -25 - -14. Let q be (w/(165/12))/((-1)/5). Calculate the remainder when c(q) is divided by 30.
25
Suppose 0 = 29*z + 17961 - 32287. What is the remainder when z is divided by 196?
102
Suppose 6*n - 2*n = -68. Let g = -4 - n. Let z = 7656 + -7618. Calculate the remainder when z is divided by g.
12
Suppose -59*l + 4*l = 44*l - 17919. Calculate the remainder when l is divided by 40.
21
Suppose 3*l + 106 = -212. Let q be (-1)/2*l*3. Suppose 3*s = -7*u + 2*u + 119, 3*s - 3*u - q = 0. Calculate the remainder when s is divided by 10.
8
Suppose -4*j + 2*i + 2236 = 0, -5*j + 33*i + 2756 = 37*i. Calculate t