 420 - 290. What is the remainder when a is divided by 11?
9
Let j = 1510 + -1202. Calculate the remainder when j is divided by 63.
56
Suppose -3*s = -4*s + 5*t + 78, -4*s + t = -255. Let r = s + -47. Calculate the remainder when 76 is divided by r.
12
Let l = 59 - 51. What is the remainder when 46 is divided by l?
6
Let i(y) = y**3 - 20*y**2 + 2*y + 13. What is the remainder when 212 is divided by i(20)?
0
Calculate the remainder when (3 + -5)/((-6)/(-3)) + 310 is divided by 52.
49
Calculate the remainder when (-2 + (-324)/(-42))*(3 - -11) is divided by 30.
20
Let q = -871 - -905. Calculate the remainder when 115 is divided by q.
13
Let z = -1710 - -1752. Suppose -k + 13 + 5 = 0. What is the remainder when z is divided by k?
6
Calculate the remainder when 349 is divided by 514/12 - 3/(-36)*2.
5
Suppose 2121 = 10*b - 729. What is the remainder when b is divided by 96?
93
Let x = -141 + 184. What is the remainder when x is divided by 15?
13
Suppose -4*r = 2*f - 924, -18*r - 1379 = -3*f - 17*r. Calculate the remainder when f is divided by 22.
20
Suppose 48*x = 65*x - 4233. What is the remainder when x is divided by 16?
9
Let o = -104 - -186. What is the remainder when 314 is divided by o?
68
Let p = 1564 + -790. Calculate the remainder when p is divided by 31.
30
Let o be -2 - 0 - -1 - 20. Suppose 0*p - 4*p + 136 = 0. Let y = p + o. What is the remainder when y is divided by 7?
6
Suppose -232 = 298*h - 327*h. Calculate the remainder when -23*-2*(-3)/(-6) is divided by h.
7
Suppose -16*x = -21*x + 175. Suppose 2*a + 3*p = -0*a + 12, -2*a + 3*p = -36. What is the remainder when x is divided by a?
11
Let l(p) = p**3 + p**2 + p - 1. Let g be l(-4). Let t = -19 - g. What is the remainder when 100 is divided by t?
32
Let j(t) = -t - 10. Let y be j(-10). Suppose y = -2*o + 3*x + 88, 0 = 3*o - 2*o + 2*x - 51. Calculate the remainder when o is divided by 10.
7
Let z = 634 + -756. Suppose -b + 3*b + 248 = -3*p, -244 = 3*p - 2*b. Let a = p - z. What is the remainder when a is divided by 15?
10
Let x be 12 - (24/4 + -2). Suppose 0 = -3*n + x*n - 370. Calculate the remainder when n is divided by 25.
24
Calculate the remainder when (-33)/(-99) - (-112)/6 is divided by 11.
8
Let z = -112 - -112. Suppose z = -33*g + 37*g - 68. What is the remainder when 132 is divided by g?
13
Let r(d) = -d + 17. Let p be r(10). Suppose 3*i - 4*g - p = -27, 5*i - 10 = -2*g. Suppose 3*u - 21 = -i*u. What is the remainder when 17 is divided by u?
3
Let a = -13 + 46. Let t(d) = 2*d**2 - d + 18. Calculate the remainder when a is divided by t(0).
15
Suppose g + 3*p = 8, 24 = 3*g + 5*p - p. Suppose g = -4*j, 208 + 69 = 3*a + j. What is the remainder when a is divided by 32?
29
Let a = -95 - -109. Calculate the remainder when 39 is divided by a.
11
Let l be 0 + 0 + -12*2/(-1). What is the remainder when 42 is divided by (l/30)/(4/70)?
0
Let o(q) be the second derivative of q**3/3 - q**2/2 - 5*q. Let c = -8 + 15. What is the remainder when 25 is divided by o(c)?
12
Let z(p) be the first derivative of 0*p**3 + 1/4*p**4 - 3 - p + p**2. Calculate the remainder when 21 is divided by z(2).
10
Let o be (6/(-14))/((-19)/133). Let v(m) = m**2 + 5*m + 5. Calculate the remainder when 165/12 + (o - (-30)/(-8)) is divided by v(-5).
3
Suppose 2*l = 2*w - 244, 0 = -19*l + 14*l - 10. What is the remainder when w is divided by 21?
15
Let g = 82 + -78. Suppose 5*r + 2*v - 98 = 0, 2*r = g*r - v - 32. What is the remainder when 67 is divided by r?
13
Let r = -38 - -38. Suppose r = -v - 5*v + 138. What is the remainder when v is divided by 13?
10
Let m(b) = -2*b**2 - 4*b - 2. Let v be m(-3). Calculate the remainder when ((-458)/v - 0) + (-25)/100 is divided by 10.
7
Let l(p) be the second derivative of -p**3/6 - p**2/2 - 2*p. Let y be l(3). Let k = y + 9. Calculate the remainder when 8 is divided by k.
3
Let l = -2 - 3. Let p(k) = -k**3 + 5*k**2 - 10*k + 17. Let b be p(3). Let s = b - l. Calculate the remainder when s is divided by 3.
1
Suppose 4*i = 22 - 6. Let o(k) = k**3 - 8*k**2 + 7*k + 10. Suppose 7 = -4*d + 5*d. What is the remainder when o(d) is divided by i?
2
Let d(v) = v + 10. Suppose -1442 = 41*u - 4435. Calculate the remainder when u is divided by d(9).
16
Suppose 4*w + 15 - 103 = 0. Let k(q) = q**3 - 14*q**2 - 49*q - 28. What is the remainder when w is divided by k(17)?
4
Let w(c) = c**2 - c - 5. Suppose 5*b + 20 = -5*g, b + 2*g - 20 = 6*b. What is the remainder when 29 is divided by w(b)?
14
Suppose -63*r - 1990 = -73*r. What is the remainder when r is divided by 67?
65
Let p = -8 + 8. Let b(t) = -2*t + 6*t**2 - t**3 + 4 + p*t + 3*t + 3*t**2. Calculate the remainder when b(9) is divided by 5.
3
Calculate the remainder when 4*7*(-96)/(-6) is divided by 45.
43
Let u = 33 - 19. Suppose c - 4*c = 0. Suppose 16 = -4*y, c = -4*o - y + 6*y + 56. What is the remainder when u is divided by o?
5
Suppose 5*v - 4*t - t = 65, 2*v - 14 = -2*t. What is the remainder when 25 is divided by v?
5
Suppose 2*r = -0*r + 8. Suppose 0 = r*b - 7*b + 90. Let p = -2 + 10. Calculate the remainder when b is divided by p.
6
Let t(z) = 6*z - 43. Let a be t(18). Let q = a + 104. Calculate the remainder when q is divided by 43.
40
Suppose 2*d - 3*d - r = -59, 0 = d - r - 51. Calculate the remainder when d is divided by 20.
15
Let h(i) = -i**2 + 20*i + 73. Calculate the remainder when h(22) is divided by 24.
5
Let b be 5/(-15)*(-1 - 98). Calculate the remainder when 537/9 - 1/(-3) is divided by (-2)/(4 + (-3 - b/27)).
6
Suppose 4*a = -4, -25*a + 292 = 3*x - 20*a. Calculate the remainder when 294 is divided by x.
96
Calculate the remainder when 461 + (-4 + 9)*(-4)/(-10) is divided by 93.
91
Suppose -290 = -5*w + i, w - 34 = 4*i + 5. Let h(x) = 7*x - 1. Let p be h(-1). Let l = p - -20. What is the remainder when w is divided by l?
11
Let n = 423 - 391. Calculate the remainder when n is divided by 23.
9
Let v(s) = -s**2 - 6*s - 1. Let x be v(-4). Suppose 5*f + 16 = 9*f. Suppose f*b + 123 = x*b. Calculate the remainder when b is divided by 14.
13
Calculate the remainder when 85 is divided by (22/(-4))/((-11)/44).
19
Let u = 21 - 10. Let f be 4/(-8) - (-161)/46. Suppose -f*s - 36 = -4*q, 25 = 2*q + 3*s - u. Calculate the remainder when 46 is divided by q.
10
Suppose -2*q = -2*m + 52, 2*q = q - 4*m - 46. What is the remainder when q/(-4)*(-4)/(-3) is divided by 4?
2
Let u be -52*2*1/(-4). Suppose 0 = -3*c + 3, 3*n + c - u = -c. Let o = n - 4. Calculate the remainder when 10 is divided by o.
2
Let r(y) = y**3 + 8*y**2 + 6*y + 4. Let z be (-24)/4 - (1 + -1). Calculate the remainder when r(z) is divided by ((-21)/5)/((-45)/150).
12
Suppose -2*s + 12 = -28. Suppose -5*n + 2*z - 3*z + 187 = 0, -3*n + 2*z + 120 = 0. Calculate the remainder when n is divided by s.
18
Let i(b) = -b**3 + 6*b**2 + 4*b. Let r be i(6). Suppose -l = 4*u + l - 64, 2*u + 3*l = r. Let h = 29 - u. Calculate the remainder when 32 is divided by h.
10
Let a(u) = -u**2 + 16*u + 28. Let m be a(17). Suppose -m*k + 604 + 969 = 0. What is the remainder when k is divided by 48?
47
Suppose -3*n - 30*n = -132. Calculate the remainder when 10 is divided by n.
2
Let z = -24514 + 24546. Suppose 0 = -4*a + 395 + 105. Calculate the remainder when a is divided by z.
29
What is the remainder when 968 is divided by (-418)/4*222/(-407)?
56
Suppose 0*d + 3*d - 234 = 0. Let t = -701 - -721. Calculate the remainder when d is divided by t.
18
Suppose 17*s = -3*s + 1900. What is the remainder when 465 is divided by s?
85
Let k(v) = -2*v**2 + 0*v**2 + 1 + 0 + 3*v**2 + v. Let i be k(3). Calculate the remainder when 26 is divided by 3 + -3 + 1 + i.
12
Let b(t) be the first derivative of -t**3/3 + 9*t**2/2 + 24*t - 72. Let h = 19 - 9. Calculate the remainder when 24 is divided by b(h).
10
Let f = 108 + -102. Calculate the remainder when 11 is divided by f.
5
Suppose 15*j - 9*j = 666. What is the remainder when j is divided by 20?
11
Let u be 9/((-180)/(-32))*(-5)/(-2). Calculate the remainder when 88*(10/u)/5 is divided by 23.
21
Suppose 3*x - 18 = 2*x - 5*j, -40 = -4*x - 4*j. Let z = 34 - 10. Suppose -i + m = -25, x = 4*m + z. Calculate the remainder when i is divided by 12.
9
Let q(h) = 2*h - 16. Let x be q(9). Let b(u) = 6*u**2 - 2*u. Calculate the remainder when b(x) is divided by 11