the remainder when s is divided by 105.
0
Suppose -16 = -z + 3*z. Calculate the remainder when (14/z)/((-2)/40) is divided by 1 + (-7)/5 - (-282)/30.
8
Calculate the remainder when 79 is divided by 4*(1 + 36/(-16)) + 32.
25
Suppose 13 = 5*b + 2*i, i = -5*b + 2*i + 16. Let m be 1 + -12 + 0 + b. Let u(l) = l**2 + 6*l - 2. What is the remainder when u(m) is divided by 5?
4
Let r = 268 - 265. What is the remainder when 52 is divided by r?
1
Suppose 0 = 3*r - 20 + 8. Suppose 4*m = 2*g - 28, 0 = -5*g - r*m - 23 + 65. Let d(i) = -i**2 - 12*i - 8. Calculate the remainder when d(-6) is divided by g.
8
Let y(p) = p**2 + 2*p - 9. What is the remainder when 83 is divided by y(3)?
5
Let s be 4 + (6 - 9 - (-1 + 1)). Calculate the remainder when (s/(-1))/(-4 - (-732)/184) is divided by 8.
6
Let n = 135 + -63. Suppose -o + n = 8*o. Calculate the remainder when 45 is divided by o.
5
Suppose r = -4*w - 7 + 32, r = -3*w + 21. What is the remainder when 304 is divided by r?
7
Let c be 6/3 - (-1)/1. Suppose -2*a + 3*h - c = -0*a, 0 = 5*a - h - 12. Calculate the remainder when 18 is divided by 14*(3/2)/a.
4
Let d be (38 - 1) + (-28)/(-14). Suppose 3*u + u = -3*f + 64, 0 = 3*f - 3*u - 57. Calculate the remainder when (-4 - -2) + -1 + d is divided by f.
16
Suppose -14*n = -10*n. Suppose n*z = -4*s + 5*z + 26, -3*s - 5*z + 2 = 0. Let t(u) = 3*u. What is the remainder when t(4) is divided by s?
0
Let h(y) = y**3 + y**2 + 18*y - 35. What is the remainder when (19/2)/(2/8) is divided by h(2)?
12
Let h(u) = u**3 - 4*u + 6. Suppose 0 = -5*i - 3*n - 28 + 3, 0 = 5*i + 4*n + 30. Calculate the remainder when h(4) is divided by ((-1)/i)/((-14)/(-532)).
16
Suppose a - 230 = 3*j, -2*j - 755 = -3*a - 6*j. Suppose 17*t - a = 12*t. Calculate the remainder when t is divided by 17.
15
Let k = -1 - -1. Suppose o = -k*o + 10. Suppose 18 + 3 = 15*r - 24. Calculate the remainder when o is divided by r.
1
Suppose b = 2*c, 5*c = 4*b - 3 - 0. Suppose 2*z = -b*z + 12. Suppose -z*h = -3*l + 45, 3*l - h = 6 + 39. What is the remainder when 44 is divided by l?
14
Let y(g) = g**3 - 6*g**2 + 4*g - 13. Let a = 217 + -163. What is the remainder when a is divided by y(6)?
10
Let m(g) = g**3 + 2*g**2 - 14*g - 8. Suppose -4*y = -2*y - 62. What is the remainder when y is divided by m(-4)?
15
Let b = 974 + -958. Calculate the remainder when b is divided by 9.
7
Suppose -29*y = -26*y + 27. Let p = -15 - -45. Calculate the remainder when p is divided by 240/18*(y/5 - -3).
14
Suppose 73*w - 80*w = -651. Calculate the remainder when w is divided by 37.
19
Let c(f) = f**3 - 3*f**2 + 2*f + 2. What is the remainder when c(4) is divided by (168/(-8))/3 - -21?
12
Let r(y) = -4*y**2 + 66*y + 61. Calculate the remainder when r(17) is divided by (4 + -1)/(3/8).
3
Suppose -v - 5*l - 488 = 0, -308 = 2*v - 5*l + 653. Let y(z) = z**3 - 3*z**2 + 4*z. Calculate the remainder when (-1)/2 + v/(-14) is divided by y(3).
10
Let g = 128 - 63. Suppose -4*k = -3*n + 43, 2*k = -5*n + 5*k + 79. What is the remainder when g is divided by n?
14
Let l = 265 + -137. Suppose -5*d + 152 = -l. What is the remainder when d is divided by 20?
16
Suppose 1213 = 24*v - 731. Calculate the remainder when v is divided by 18.
9
Suppose 29*s + 200 = 34*s. Let d = s - 24. Calculate the remainder when 77 is divided by d.
13
Suppose 0 = 5*m - 769 + 229. What is the remainder when 206 is divided by m?
98
Let v = -5 - -9. Suppose d + v*h = 10, -5*d + h + 0*h + 92 = 0. Let n(b) = 70*b**2 + 2*b + 1. What is the remainder when n(-1) is divided by d?
15
Let q = 8 + 6. Suppose 3*z - q - 49 = 0. Let h(g) = g**3 - g**2 + 3*g. Calculate the remainder when h(4) is divided by z.
18
Let y(k) = -3*k + 3. Let w be y(-4). Suppose -w - 29 = -4*f. Calculate the remainder when 21 is divided by f.
10
What is the remainder when 44 is divided by 7/21 - (-4 - 5/(-15))?
0
Suppose 88 - 20 = 4*j. What is the remainder when 98 is divided by j?
13
Let w = 27 - -14. Let u = 46 - w. Calculate the remainder when 13 is divided by u.
3
Suppose -5*r + 2*m + 21 = 0, -r = -0*m - 3*m - 12. Suppose 3*h - 143 = -10*h. What is the remainder when h is divided by r?
2
Let o(h) = -h**2 - 16*h - 2. Suppose 0 = 2*i + 3*t + 41, -2*i + 2*t - 31 = 3*t. What is the remainder when 145 is divided by o(i)?
34
Suppose -2*b + 71 = s, 6*s + 200 = 5*b + s. Suppose 8 + 4 = 3*j. Let u(x) = 2*x**2 - 7*x + 6. What is the remainder when b is divided by u(j)?
7
Suppose 4*f - 5*l - 28 = 811, 3*f = 4*l + 630. What is the remainder when f is divided by 19?
16
Suppose 3 - 5 = 2*p. What is the remainder when 109 is divided by (-8 + 7)*(-15 + p)?
13
Suppose 1032 = 89*n - 97*n. Let q = n - -148. What is the remainder when q is divided by (-1)/(-4) - (-54)/8?
5
Let f = 93 + -15. What is the remainder when f is divided by 50?
28
Suppose o + 19*z - 24*z = 38, 3*o - z - 86 = 0. What is the remainder when 145 is divided by o?
5
Suppose 4*f = -517 + 605. Calculate the remainder when 44 is divided by f.
0
Suppose 45 = 2*b + 4*i + i, -129 = -5*b + 4*i. Suppose -3*l = 2*t - 17, -11*l + 12*l - 75 = -5*t. What is the remainder when b is divided by t?
9
Let p(b) be the second derivative of 3*b**5/20 + b**4/4 - b**3 + 5*b**2/2 + 23*b. What is the remainder when p(3) is divided by 24?
23
Suppose 0 = -3*c + 2*n + 15, c - n = 6*c - 25. Suppose -3*k = -4*r - 39, -k + c*r - r = -21. Calculate the remainder when 12 is divided by k.
3
Calculate the remainder when (-3 - 55/(-2))*(-80)/(-28) is divided by 24.
22
Let g = 37 - 20. Suppose 0 = -5*t - g + 142. Let j = -16 + t. What is the remainder when j is divided by 7?
2
Suppose -90 = 31*w - 28*w. Let c = w - -48. Calculate the remainder when 88 is divided by c.
16
Suppose -5*w + 94 - 172 = -y, 4*w + 234 = 3*y. Calculate the remainder when 467 is divided by y.
77
Let l = -25 - -15. What is the remainder when 114 is divided by -2*(-5)/l*-23?
22
Suppose -20*u = -23*u - 3. Let z(a) = -23*a - 3. Calculate the remainder when 75 is divided by z(u).
15
Suppose 230 = 2*x - 1008. Suppose -x = -3*n - 2*c, 4*n - 5*c = 790 + 43. Calculate the remainder when n is divided by 35.
32
Let a(o) = 11 + 18 + 0*o - 7*o + 8*o. What is the remainder when a(0) is divided by 14?
1
Suppose -j - 4*i = -3*i, 2*j - 4*i = 24. Suppose j*o - 87 = 3*a + 161, -5*a + 157 = 3*o. What is the remainder when o is divided by 13?
7
Let n = 20 - 1. Suppose 0 = -5*x + 9*x - 128. Calculate the remainder when x is divided by n.
13
Suppose 3*z - 223 = c, 4*z - 2*z = 3*c + 144. What is the remainder when z is divided by 32?
11
Let w = 210 + -126. Suppose -4*u - w = -0*u. Let t = 1 - u. Calculate the remainder when 86 is divided by t.
20
Suppose d + 43 = 122. What is the remainder when d is divided by 6/(-72)*-12 - -8?
7
Let t = 72 - 57. Calculate the remainder when 47 is divided by (2 - 5) + -6*(-40)/t.
8
Suppose 13 + 158 = 9*m. Calculate the remainder when 106 is divided by m.
11
Let f = 71 + -47. Suppose 4*q + f = 3*l + q, 2*l - 30 = -5*q. Calculate the remainder when 39 is divided by l.
9
Let l = 94 + -18. Let n = l + 7. Suppose -67 - n = -5*d. Calculate the remainder when 117 is divided by d.
27
Let s be 4/(-6) - 28/(-6). Let z be 1 - s - (-1 + -6). Suppose -l - z*f + 29 = 0, -l = -4*l - 4*f + 103. Calculate the remainder when l is divided by 19.
18
Let r(q) = q**3 + 5*q**2 - 2*q - 5. Let f be r(-5). Let y(d) = -64*d - 62*d + 134*d - 3. Calculate the remainder when y(f) is divided by 8.
5
Calculate the remainder when (18/10)/(6/340) is divided by 28.
18
Suppose 0 = -3*f + 8*f - 15. Suppose 9*m = f*m + 24. Suppose -5*d = -4*q - 2*d + 71, -4*d + 64 = 4*q. Calculate the remainder when q is divided by m.
1
Suppose u = -5, 5*u + 1 = -4*s + 12. Suppose 0 = -5*i + s + 1. Calculate the remainder when 2 is divided by i.
0
Suppose -4*o + 5 = 3*j, -o - j - j - 5 = 0. Suppose 0 = 5*i + o*i - 120. What is the remainder when i is divided by 2?
0
Suppose -o - 8 = -2*u + 398, 0 = -u + 2*o + 206. Suppose 3*v + 14 = 4*v + c, -v - 4*c + 11 = 0. Calculate the remainder when (-1)/7 - u/14*-5 is divided by v.
12
Let j = -797 - -908. What is the remainder when j is divided by 16?
15
Suppose -d - 7 + 59 = y, d = 5*y - 278. Suppose 4*q - 803 = -107. Suppose 62 = -4*p + q. Calculate the remainder when y is divided by p.
27
Suppose -j - 5 = -h - 3*h, 2*h 