e remainder when 138 is divided by n.
3
Let r = 5 - -8. Let i(a) = -5*a + 20. Let h be i(9). Let w = 102 + h. Calculate the remainder when w is divided by r.
12
Suppose 0 = -9*k + 452 + 709. What is the remainder when 503 is divided by k?
116
Suppose -31*k = 2*h - 34*k - 21, 2*k = -h + 28. Calculate the remainder when 1151 is divided by h.
17
Let d(b) = -b**3 + 5*b**2 + 2*b - 2. Let v be d(6). Let p = 407 - 346. Let h = v + p. Calculate the remainder when 103 is divided by h.
33
Let j(b) = -6*b + 117. Let l be j(-21). Suppose 0 = 8*h - l - 349. What is the remainder when 294 is divided by h?
72
Suppose -47*z - 1342 = -69*z. Let d(c) = -10*c. Let i be d(-8). Suppose -q = -6*q + i. What is the remainder when z is divided by q?
13
Suppose -3*m + 9 = 0, -5*m = 11*w - 13*w + 37. Let o = w - 26. Suppose o = -2*p + 2 + 18. Calculate the remainder when 16 is divided by p.
6
Let l = -21 - 126. Let m = 266 + l. What is the remainder when m is divided by 8?
7
Let w be 8/20 + 614/(-10) + 4. Let c = -36 - w. Calculate the remainder when c is divided by 11.
10
Calculate the remainder when (45/10)/9*5694/39 is divided by 16.
9
Let k = 66 - 36. Let f = -28 + -57. Calculate the remainder when f*(-5)/(-15)*-3 is divided by k.
25
Suppose -126*t - 10745 + 24159 = -18842. What is the remainder when t is divided by 182?
74
Suppose -50*u + 52*u - 3196 = 2*z, 4*u - 6434 = -2*z. What is the remainder when u is divided by 124?
117
Let l = 1484 + -1481. Let a(y) be the first derivative of -3*y**2/2 - 14*y + 3. What is the remainder when a(-11) is divided by l?
1
Let w = 6942 + -6056. What is the remainder when w is divided by 76?
50
Suppose -11*n + 7*n = -16. Suppose -s + n*s = a + 22, a - 26 = -5*s. Calculate the remainder when 51 is divided by s.
3
Suppose -6*d + d + 2*n + 76 = 0, 0 = -3*n + 6. Let v = d + -10. Suppose -4*o + 20 + 136 = 0. What is the remainder when o is divided by v?
3
Let c(i) = -116*i**2. Let k be c(-2). What is the remainder when ((-9)/6)/((-7 + 15)/k) is divided by 13?
9
Suppose -75033 - 11727 = -180*n. Calculate the remainder when n is divided by 472.
10
Suppose -v - 250*b + 252*b = -23, 3*b - 4 = -2*v. Calculate the remainder when 71 is divided by v.
5
Suppose 0 = 5*f - 4*h + 137, f - 2*h = 6*f + 149. Let r = f - -33. Suppose -60 = -o - d + r*d, -257 = -4*o - 5*d. What is the remainder when o is divided by 13?
11
Suppose c - 15 = 4*l, 2*l - 36 = -2*c + 24. Suppose 3352 - 1192 = c*t. What is the remainder when t is divided by 7?
3
Let h(p) = -19*p**3 - 6*p**2 + 5*p + 11. Suppose 118 = 2*t - 5*u, 3*u = -t + 18 + 63. Calculate the remainder when h(-2) is divided by t.
60
Let a be -2 - -6 - -29 - 5. Suppose a*c - 32*c = -324. What is the remainder when c is divided by 17?
13
Suppose f - 25 = -19, -2*f = -j + 122. What is the remainder when 2544 is divided by j?
132
Suppose l - 98 = -3*d, -144 = -l + 2*d - 36. Suppose -19*i + l = -6*i. Suppose -2*w + i*w = 48. Calculate the remainder when 31 is divided by w.
7
Let d(y) = 2*y**3 + 44*y**2 - 24*y - 151. Calculate the remainder when d(-22) is divided by 83.
45
Suppose -140 = -2*b + 6. Suppose -71*p - 110 = -b*p. What is the remainder when p is divided by 33?
22
Suppose -2*g = -12 - 2. Suppose 18*u + 280 = 766. Calculate the remainder when u is divided by g.
6
What is the remainder when (((-340)/17)/(-20))/((-2)/(-786)) is divided by 10?
3
Let f(l) = 2*l**2 + 11*l + 1071. What is the remainder when f(29) is divided by 22?
14
Suppose 28*c - 23*c - 54 = -3*v, 4*c - 32 = -4*v. What is the remainder when 3704 is divided by c?
14
Let z = -132647 + 132658. Let j = -66 - -97. What is the remainder when j is divided by z?
9
Let g(z) = 38 + 49 - 3*z + 7*z**2 - 80. Calculate the remainder when g(2) is divided by 4.
1
Suppose 4*g = g - 12. Let r(o) = -5*o**2 + o + 9. Let d be r(g). Let j = -69 - d. What is the remainder when 10 is divided by j?
4
Suppose -41*t = -38*t - 6. Calculate the remainder when 197 is divided by (14/(560/(-250)))/(t/(-16)).
47
Calculate the remainder when 91 is divided by ((-72)/66)/((-144)/66 - -2).
1
Let m = 2554 + -2535. Let n be 0 + (1 - -3) + 3. Let x = n - 3. What is the remainder when m is divided by x?
3
Let k(g) = 9*g**2. Suppose 3*z = 5*u + 223, -3*z - 3*u = 2*u - 233. Suppose -5*c = -z - 29. What is the remainder when k(-3) is divided by c?
18
Let i(f) = f - 14. Let c be 9/12*4/2*6. Let d be i(c). Calculate the remainder when 8 is divided by -4 + -14*d/10.
2
Suppose 8 = 8*m - 16. Calculate the remainder when 40 is divided by ((-51)/6 + -2)/(m/(-4)).
12
Calculate the remainder when (33/(-5) - 50/125)*-29 is divided by 34.
33
What is the remainder when 244 is divided by 56/21 + (-8)/(-6) - (1 + -46)?
48
Suppose -2*c = -c - 5*d, -4*d = 5*c - 29. Suppose 4*o + 5*x = 11, 3*o = -0*x + 3*x - 12. Calculate the remainder when c is divided by (-7)/(-6 + o)*(1 + 1).
1
Suppose 101*l - 621 = 2308. Let v(y) = y + 10. Let f be v(-8). What is the remainder when l is divided by (9/f)/(5/20)?
11
Suppose 28*h - 25*h = -5*w + 722, -3*h = -4*w - 740. Calculate the remainder when h is divided by 91.
62
Suppose -a - 4*a + 25 = 0. Suppose 2*d - 4*q + q = -2, a*q = 0. Calculate the remainder when d + (-6 - -3) + 3 + 96 is divided by 16.
15
Suppose -6 = -3*f + 3*p, f = -3*f - p - 12. Let w(l) = -2*l**3 + 3*l**2 + l. Calculate the remainder when 1 + 1/(3/291) is divided by w(f).
20
Let m = -96 + 192. Suppose m = 53*k - 49*k. Let i(b) = -b**3 + 9*b**2 - 2*b + 2. Calculate the remainder when i(5) is divided by k.
20
Suppose f - 5*o - 8 = -3*f, -2*f + 34 = 5*o. Let i(q) = q**3 - 4*q**2 - 2*q - 13. Let j be i(6). What is the remainder when (j/3)/((-5)/(-15)) is divided by f?
5
Suppose -2*i = -5*t + 3*t - 66, 2*t = 0. Suppose 277 + 223 = 4*m. What is the remainder when m is divided by i?
26
Let h = 227 + -251. What is the remainder when 96 is divided by (-42)/4*h/18?
12
What is the remainder when 590 is divided by -5 - ((-1152)/120)/((-1)/(-15))?
34
Let d(o) = 2*o**2 + 3*o - 9. Let i be d(-3). Suppose i = -x - 10 + 97. What is the remainder when x is divided by 19?
11
Let q(n) = 3*n - 27. Let y be q(10). Suppose -v - 3*x + 3 = -y*v, 15 = v + 4*x. What is the remainder when 42 is divided by v?
0
Suppose -70 = -14*v - 0*v. Let h = v + -7. What is the remainder when 52 is divided by 1 - (h/4)/((-6)/(-312))?
25
Let x(b) = 133*b - 67. What is the remainder when x(5) is divided by 20?
18
Let r(l) = -19*l - 1841. What is the remainder when r(-127) is divided by 60?
32
Suppose 11 = -4*p + 19. What is the remainder when p/6 + (-1106)/(-21) - 2 is divided by 20?
11
Suppose -5*q - 723 = -4*v, -2*v + 10*q + 359 = 5*q. Suppose -2*f + 9*f = v. What is the remainder when 75 is divided by f?
23
Let g = 366 + -363. Suppose 84 = 4*p + q, 2*q = g*p - p - 52. Suppose -3*y = -166 - 23. What is the remainder when y is divided by p?
19
Suppose -20 = z - 6*z. Suppose 3*x - 5*p - 104 = 0, z*x - 2*p + 64 = 6*x. Calculate the remainder when x is divided by -3 - (-12)/(-16)*(-20 + 0).
9
Let v be 3*4*(-18)/(-12). Suppose -v*w + 20*w = 394. Calculate the remainder when w is divided by 51.
44
Calculate the remainder when 689 is divided by (-2)/((-24)/(-10)) + (8 - (-36495)/54).
6
What is the remainder when 295 is divided by (-18)/90 + (-396)/(-5)?
58
Calculate the remainder when 56 is divided by (-51)/85*(-5)/(-2)*-14.
14
Let l(p) = -6*p + 8. Suppose o - 6*o - 2*u = 30, -3*o + 4*u = 44. Let m(j) = 2*j**2 + 9*j + 2. Calculate the remainder when l(o) is divided by m(-6).
16
Let u(w) = 2*w**2 + 1 + 5*w + 6 + 3. Let h(v) = -48*v + 620. Let s be h(13). Calculate the remainder when 107 is divided by u(s).
19
Suppose 371*s - 359*s - 14604 = 0. What is the remainder when s is divided by 6?
5
Let j be ((-6 - -4) + 146)*1. Let t = -87 + j. Suppose 3*u + t = 6*u. What is the remainder when u is divided by 7?
5
Let u = 33 + -35. Suppose 2*w + 26 = -2*p - 2, 2*p + 22 = w. What is the remainder when 64 is divided by (38/u)/(-4 + p/(-4))?
7
Let p(t) = -t. Let w(u) = u**3 - 5*u**2 - 4*u - 11. Let h(z) = 3*p(z) + w(z). What is the remainder when 109 is divided by h(7)?
33
Suppose 5*f + 53 = 4*q + 2*f, f + 63 = 4*q. Let b(l) = 2*l**2 + 43*l - 8. What is the remainder when b(-23) is divided by q?
10
Suppose 856 = 88*l + 74 - 626. Calculate the remainder w