l - 3. Let m be z(-11). Let k = -125 + m. Calculate the remainder when k is divided by 31.
19
Suppose 0 = -57*v + 2309 + 28. Calculate the remainder when 451 is divided by v.
0
Let b(f) = 79*f**2 + 1199*f + 2392. What is the remainder when 621 is divided by b(-2)?
1
Let j(d) = 3 + 6 - 3 + 2 - 4*d. Calculate the remainder when j(-15) is divided by 12.
8
Let y(w) = -w**3 + w**2 + 2*w - 1. Let u be y(2). Let s be (-3 - (-1 + u))*(6 + -28). Calculate the remainder when 96 is divided by (s/(-4))/(1/2*-1).
8
Suppose -3*u - u = 60. Calculate the remainder when (21 - 23)*34/(-2) is divided by u/5 - (-16)/1.
8
Suppose 5*a + 4 = 2*z - 10, 2*a + 12 = 4*z. Suppose -3*u = -4*s - 636, -u + 80 = -z*s - 134. Calculate the remainder when u is divided by 42.
40
Suppose -5*l = -i - 104, -5*l + 25*i = 27*i - 122. Calculate the remainder when 1449 is divided by l.
19
Let c be -3*(2/(-6))/((-2)/(-6)). Suppose 45 = c*j - 0. Calculate the remainder when j is divided by (-2)/(-10)*-8*-5.
7
Let k = -152 - -148. What is the remainder when k*(-6)/16*62 is divided by -6*(39/(-9) - 1)?
29
Calculate the remainder when (-30*(-26)/(-16))/((-24)/10944) is divided by 11.
10
Let m(a) = a - 3 + 0*a + 20. Let v(g) = -4*g**3 - 4*g**2 + 3*g - 1. Let x be v(1). Calculate the remainder when 20 is divided by m(x).
9
Suppose 0 = -o - 3*m + 72, m = 19*o - 15*o - 340. What is the remainder when (46 - o)*(-1 - 0) is divided by 10?
8
Let w be 0*(-1 + 2)/3 - -27787. Suppose -29*o + w = 8357. Calculate the remainder when o is divided by 12.
10
Calculate the remainder when 1406 is divided by (-195)/99*-177 + (-16)/(-44).
10
Let s(n) = n**3 - 7*n**2 + 4*n - 3. Let b be s(4). Let z = 18 + b. Let i(g) = g**2 + 16*g - 15. What is the remainder when 9 is divided by i(z)?
1
Suppose 0 = 4*l - 2*f - 26, 0 = -2*l - 4*f - 12. Suppose -9*b + l*b + 60 = 0. What is the remainder when (231/b + 6)/(1/4) is divided by 17?
16
Let w(h) = 453*h - 1978. What is the remainder when w(6) is divided by 3?
2
Let x(f) = f**3 + 9*f**2 + 6*f - 2. Let c = -45 + 20. Let a = -7 - c. What is the remainder when x(-6) is divided by a?
16
Suppose 8*y - 9*y = 2*o - 282, -2*o - 3*y + 286 = 0. What is the remainder when o is divided by 37?
29
Let n = -238 - -20. Let q = n - -311. What is the remainder when q is divided by 24?
21
Let u = -359 - -364. Suppose 0 = -u*y + 5*w + 280, -35 = -y - 3*w + 29. What is the remainder when 579 is divided by y?
57
Suppose 0 = -43*s + 2047 - 284. What is the remainder when 898 is divided by s?
37
Let n = -27 + 47. Let p = n + -12. Calculate the remainder when (2 + -6 + -4)*(-15)/10 is divided by p.
4
Calculate the remainder when 159 is divided by (-20)/18 + (-25132)/(-927).
3
Suppose 4*h = 7*u - 3*u + 404, -h + 81 = -5*u. What is the remainder when h is divided by 47?
12
Let x = -31 - -32. Suppose -4*s + 40 = 4*c, -2*c + 2*s = x - 5. Suppose -29*p + 27*p = -c. What is the remainder when 15 is divided by p?
0
Suppose 2*w = 2375 + 857. What is the remainder when w is divided by 162?
158
What is the remainder when 157 is divided by 78/1 - (12 + -21)?
70
Let d(k) be the first derivative of -k**3/3 + 7*k**2 - 8*k + 3. What is the remainder when 61 is divided by d(4)?
29
Let l(v) = 9*v - 118. Let b be l(31). Let x = 164 - b. Calculate the remainder when 13 is divided by x.
1
Suppose 512*q = 505*q + 1400. Calculate the remainder when q is divided by 34.
30
Let b(r) = -2*r**3 - 7*r**2 + 31*r + 8. Let l be b(-6). Calculate the remainder when (754/(-65))/(l/(-10)) is divided by 12.
10
Let k = 14994 + -14967. What is the remainder when 694 is divided by k?
19
Let c = 3725 - 3710. What is the remainder when 11053 is divided by c?
13
Suppose 332*x + 11772 = -336*x + 680*x. Calculate the remainder when x is divided by 125.
106
Suppose 4*t + 5*u = 368, 481 = 5*t - 9*u + 10*u. What is the remainder when 1452 is divided by t?
94
Suppose 5 = 2*u + 1. Suppose -r + 3*o - 7*o + 22 = 0, -2*o + 14 = u*r. Let h = 34 + r. What is the remainder when h is divided by 19?
17
What is the remainder when 716/(-16)*(-23)/(23/4) is divided by 82?
15
Suppose -2*o + 0 = -8. Suppose 312 = 5*m + o*g - 126, g + 3 = 0. Suppose -u + m = u. Calculate the remainder when u is divided by 23.
22
Suppose a - 62 = 4*n, -6*n + 214 = 5*a - 2*n. Suppose -g = 2*p - 12, -4*g = 2*p - 33 - 21. What is the remainder when a is divided by (5 + -37)*g/(-28)?
14
Let a be (-3)/9 - (-4232)/24. Let f = a - 158. Suppose -l = 2*l - 480. Calculate the remainder when l is divided by f.
16
Calculate the remainder when 1697 - (-26 - -9) - 36/(-4) is divided by 10.
3
Let y(x) = -11 - 11*x - 6 + 15. Calculate the remainder when 190 is divided by y(-6).
62
Suppose -707*k + 704*k + 573 = 0. Let v = -983 + 1033. What is the remainder when k is divided by v?
41
Let a(w) = 16*w - 3. Let s(f) = -f**3 - 8*f**2 + 8*f - 7. Let r be s(-9). Calculate the remainder when ((-1494)/27)/(2/(-3)) is divided by a(r).
25
Suppose 3906 = 89*u - 80*u. Calculate the remainder when (1/1 - 1) + (u - 86) is divided by 70.
68
Calculate the remainder when 139 is divided by (-10 - (-468)/42)/((-2)/(-28)).
11
Suppose -4*w + 591 = -2*u + 75, -5*w = -u - 639. Suppose -4*b + 64 = 5*y - 3*b, 3*y + 3*b - 36 = 0. Calculate the remainder when w is divided by y.
10
Let s(o) = -26*o**3 + 84*o**2 + 86*o + 1. What is the remainder when 3723 is divided by s(-1)?
23
Let n = 4697 - 4662. Suppose 40 = b + b. What is the remainder when n is divided by b?
15
Let n(x) be the first derivative of x**3 - 5*x**2 - 16*x + 13. Let u be n(-5). Let j = -59 + u. What is the remainder when j is divided by 13?
11
Let f be (-209)/(-33)*(-3 + 723 + -3). Suppose -f = 31*k - 50*k. What is the remainder when k is divided by 11?
8
Let m(j) = 688*j**2 - 676*j**2 + 4*j**3 - j**3 - 2*j**3 + 15. What is the remainder when 193 is divided by m(-12)?
13
Suppose 3*k = 4*b + 213, -2*k - b + 23 = -108. What is the remainder when 114 is divided by k?
47
Let t(m) = -3*m**3 - 11*m**2 + m - 17. Suppose -5*s - 3*h + 4*h + 192 = 0, -676 = -18*s - 4*h. What is the remainder when t(-5) is divided by s?
2
Let d(w) = 2*w**3 + 26*w**2 - 34*w - 47. Let u(m) = 19*m + 11. Calculate the remainder when u(9) is divided by d(-14).
34
Let k = -53 + 107. Suppose -k = -12*p + 114. Calculate the remainder when 24 is divided by p.
10
Let h(p) = -37*p - 70. What is the remainder when 1318 is divided by h(-2)?
2
Suppose 0 = q - 205 + 79. What is the remainder when 239 is divided by q?
113
Calculate the remainder when (-6)/33 + (-260967)/(-561) is divided by 35.
10
Let v(z) = -2*z + 4. Let j be v(2). Suppose -6*c + 3*c + 447 = j. Calculate the remainder when c is divided by 50.
49
Suppose 5*c + 4*c - 99 = 0. Suppose -2774 = -8*v - c*v. Calculate the remainder when 294 is divided by v.
2
Suppose c - 18*y - 1315 = -15*y, 3*c - y - 3985 = 0. Suppose 98*i = 88*i + c. What is the remainder when i is divided by 17?
14
Suppose -20 = -4*a - c, 5*a + 4*c = 2*c + 28. Let j(t) = -33*t + 162. Calculate the remainder when 117 is divided by j(a).
27
Let r(y) = y**3 - 25*y**2 + 2*y - 56. Let g be r(25). Let m = g + 9. Calculate the remainder when m is divided by 2.
1
Suppose 0 = 9*o + 37091 - 49934. Calculate the remainder when o is divided by 12.
11
Let h = 73 + 207. Calculate the remainder when h is divided by -2*3420/480*8*2/(-4).
52
Suppose 0 = -4*y + 5*z + 649, -z + 263 = 3*y - 238. What is the remainder when y is divided by 5?
1
Let n(j) = -j**2 - 33*j - 147. Let c be (7 + (-105)/14)/(1/52). Calculate the remainder when 124 is divided by n(c).
19
Suppose 3*y = -2*j + 135, -2*j - 74 = -2*y + 2*j. Suppose -y = a - 47. Calculate the remainder when 14 is divided by a.
2
Suppose -3*w = -26*w + 40*w - 1258. What is the remainder when w is divided by 30?
14
What is the remainder when 565 is divided by (-244 - 56)*((-24)/(-15) - 2)?
85
Suppose 0 = -v + 3*w + 240, -2*w + w - 3 = 0. Suppose -4*g + 33 = -v. Calculate the remainder when g is divided by 10.
6
Suppose 0 = 4*v - 5*g - 22, -g = v - 4*g - 9. Suppose -v*q + 0*k - 128 = k, -3*k = 4*q + 179. Let h = q - -55. What is the remainder when 67 is divided by h?
11
Let o be 68/12 - (-2)/6. Let j(f) = f**2 - 3*f - 6. Let h(d) = -d**2 - 159*d - 6268. Calculate the remainder when h(-85) is divided by j(o).
10
Suppose -2*h + 7*h - 79