Calculate the remainder when d is divided by k(13).
6
Let u = -79 - -233. What is the remainder when u is divided by 12?
10
Let z(i) = i**2 - 3*i + 4. Let o = -596 + 621. What is the remainder when z(-7) is divided by o?
24
Suppose 0 = -u + 4*a, 8*u - 57 = 3*u + a. Suppose 10*p + 88 = u*p. What is the remainder when p is divided by 9?
8
Calculate the remainder when (-59108)/(-32) - 4/32 is divided by 44.
43
Suppose -9*v + 2269 - 37 = 0. Calculate the remainder when v is divided by 71.
35
Suppose -d + 2*d - 3 = 0. Suppose l - 179 = -5*w + 117, -d*w - 3*l = -180. Let k(p) = p**3 - 2*p**2 - 4*p + 12. What is the remainder when w is divided by k(0)?
11
Suppose 0*z = 5*z + 4*q - 162, 3*q - 9 = 0. What is the remainder when 67 is divided by z?
7
Suppose 0 = 4*i - 3*i + 1. What is the remainder when 51 is divided by i/(2/2)*(-8 - 1)?
6
Calculate the remainder when 117 is divided by (5 + 23/2)/((-6)/(-4)).
7
Suppose -4*a + 7 = -169. Let x = -4 + a. Calculate the remainder when x is divided by 14.
12
Let v be (8 - 4)/(-1) + 130. Let i = -109 + v. What is the remainder when 133 is divided by i?
14
What is the remainder when 51*(1 + -8)*(-1)/3 is divided by 14?
7
Let j(t) = 4*t - 18. Let g be j(5). Suppose -g*i + u + 118 = i, 0 = 4*i + 4*u - 152. Calculate the remainder when i is divided by 1/((-2)/2) - -21.
19
Let j(g) = g**3 + 31*g**2 - 142*g + 78. Calculate the remainder when j(-35) is divided by 10.
8
Let k = -44 - -382. Calculate the remainder when k is divided by 69.
62
Let f = 59 - -24. What is the remainder when f is divided by 28?
27
Let r = 71 - 20. Let f be 3/((-21)/2) + (-327)/7. Let w = f + 60. Calculate the remainder when r is divided by w.
12
Suppose 4*o = -k - 1, 8*k + 4*o = 3*k + 43. Suppose 2*m - 78 = j, 0*j - 3*j + 94 = 2*m. Calculate the remainder when m is divided by k.
8
Let c be (0 - -3 - 1)/2. Let d be c/2*0/(-3). Suppose -2*t + d*t = -48. Calculate the remainder when t is divided by 9.
6
Suppose 0 = -14*z + 1487 - 633. What is the remainder when z is divided by 13?
9
Let l be (-5)/15 + 1/3. Suppose -c - 13 = -l*c. Let a = 24 + c. What is the remainder when 32 is divided by a?
10
Suppose -4*f = 5*x - 414, -49*x - 2*f + 166 = -47*x. What is the remainder when x is divided by 4?
2
Suppose 0*t - 5*t = -10. Suppose 24 = -t*o + 5*o. Calculate the remainder when 22 is divided by o.
6
Let w(u) = u**3 - 8*u**2 - 8. Let c be w(8). Let y = c + 12. Let t = 14 - y. Calculate the remainder when 37 is divided by t.
7
Suppose 3*t + d - 44 = -0, 0 = 5*t - 2*d - 66. Suppose 17*k - 18 = t*k. Suppose 4*r - 85 = -r. What is the remainder when r is divided by k?
5
Suppose 5*c + 4*t + 318 = 0, -3*t + 5 = -4. Let d = -9 - c. Calculate the remainder when d is divided by 29.
28
Suppose -10 = -3*m + 2*m. Suppose m = -p + 3*p. Calculate the remainder when p is divided by (-16)/(-6) + (-2)/3.
1
Let a be (-3 - 0 - 1)/(-2). Suppose 3*o - 4*p - 57 = 0, 4*o = a*o + 3*p + 39. What is the remainder when 41 is divided by o?
11
Let p be (12 + -12)*(-2)/(-6). Suppose 3*n + 8 = 5, p = 5*v - 2*n - 37. What is the remainder when v is divided by (2 + 3)/(4 + -3)?
2
Let h(j) = -3*j**2 - 4*j + 1. Let q be h(5). Let p = 30 - q. Let v = p + -75. Calculate the remainder when v is divided by 10.
9
Let i(d) = -d**2 - 8*d - 11. Let g be -1*(30/3)/2. Let r be i(g). Suppose s - 36 = -4*p, 2*s - r*s + 40 = 4*p. What is the remainder when 14 is divided by p?
6
Let v(n) = -n**2 + 5*n - 4. Let i be v(4). Suppose 3*g - 171 = -i*g. Let r(c) = -c**3 - 3*c**2 + 6*c. What is the remainder when g is divided by r(-5)?
17
Let f = 718 + -716. Suppose 0 = -5*z + 5*p - 4*p + 23, -z - 3 = -4*p. What is the remainder when z is divided by f?
1
Calculate the remainder when 78 is divided by -3 + 9/(-12) + 711/36.
14
Let i(c) = 2*c - 5. Let w be i(5). Suppose -w*k + 273 = 3*x, 0*x + 158 = 3*k - 4*x. What is the remainder when k is divided by 28?
26
Let l = -74 + 87. What is the remainder when -2*(1 - (-27)/(-2)) is divided by l?
12
Suppose -5*b + 65 = w, -3*b - 2*w = -3*w - 39. Suppose b*p + 81 = 523. What is the remainder when 95 is divided by p?
27
Let d(j) = -555 + 574 + 3*j + j - 2*j**2. Let h(v) = -v**2 + 3*v + 20. Let s(w) = -2*d(w) + 3*h(w). Calculate the remainder when s(0) is divided by 6.
4
Calculate the remainder when 62 is divided by 120/4 + -3 + 2.
4
Suppose -2*m - 66 = -0*v - 2*v, 3*m = -2*v + 51. Suppose -3*r + 8*r = 25. Suppose r*w - 16 = 3*w. Calculate the remainder when v is divided by w.
6
Let i(n) = -32*n**2 - 14*n - 2. Let o be i(-2). Let c = o + 193. Calculate the remainder when c is divided by 47.
44
Let o(a) = 4*a - 8. Let k be o(3). Suppose 2*n - 202 = -4*l, -2*n + k*l + 263 = n. Calculate the remainder when n is divided by 24.
21
Suppose 0 = -u + 2*l + 13, 3*u + 5*l - 12 = 2*l. Let q be (-2 - -1 - -2)*5. Suppose q*b = 65 - 5. What is the remainder when b is divided by u?
5
Suppose 28 = 3*h - 0*i + 2*i, 10 = h + i. Suppose -9 = -t + h. Suppose m - 6 + 1 = 0. Calculate the remainder when t is divided by m.
2
Let i(z) = -2*z**2 - 2*z + 6. Let c be i(-3). Calculate the remainder when c/(-9)*-3 + 11 is divided by 6.
3
Suppose 0 = 3*b - 3*s - 45, b - 3*b + 42 = s. Suppose -k - 3 = 2*k, 2*x - 15 = 5*k. What is the remainder when b is divided by x?
4
Let l = 429 + 79. Calculate the remainder when l is divided by 51.
49
Suppose b - 3 - 1 = 0. Suppose -b*k = 24 + 24. Calculate the remainder when (134/4)/((-6)/k) is divided by 14.
11
Suppose 0 + 2 = m. Let t = 2 - m. Suppose t = 3*s + 14 - 26. Calculate the remainder when 11 is divided by s.
3
Let p = 1 - -16. Suppose p = -5*a + 6*a. What is the remainder when 29 is divided by a?
12
Let v = 91 + -30. Let g = v - 43. Suppose 0 = l - 2*j + j - 7, l = 5*j - 5. What is the remainder when g is divided by l?
8
Suppose -5*j - f = -57, 4*j - 42 = -5*f + 3*f. What is the remainder when 104 is divided by j?
8
Suppose 11 = 2*b + 25. What is the remainder when ((-58)/(-6))/(b/(-21)) is divided by 10?
9
Suppose 0*d = d + 9. Let t = 5 - d. Calculate the remainder when 53 is divided by t.
11
Suppose 18*n - 582 - 246 = 0. What is the remainder when 72 is divided by n?
26
Let t = -5 + 14. Let c(i) = -34*i - 1. Calculate the remainder when c(-1) is divided by t.
6
Let p(f) = f**3 + 9*f**2 + 3*f + 14. Let v be (8/(-10))/((-3)/(-30)). What is the remainder when p(v) is divided by 11?
10
Suppose 14*b + 124 = 684. What is the remainder when 558 is divided by b?
38
Let q(k) = -3*k**3 + 25*k**2 - 5*k - 5. Let h be 0*(-1)/(-3) - 3. Calculate the remainder when q(8) is divided by 14*(9/(-6))/h.
5
Suppose -7*j + 288 = -762. Calculate the remainder when j is divided by 17.
14
Let h(f) be the first derivative of f**2/2 + 25*f - 14. What is the remainder when 51 is divided by h(-12)?
12
What is the remainder when 158 is divided by (-9)/21 + 1126/14?
78
Suppose o + 2*a + 35 = 0, 0 = o + 2*o + 2*a + 109. Let y = o + 43. Let l(j) = 2*j**2 + 5*j - 2. What is the remainder when l(-4) is divided by y?
4
Suppose 3*f = -4*o + o, 5 = -3*o - 4*f. Let d = o + 4. Let b = 49 + -15. What is the remainder when b is divided by d?
7
Let x = 8 + -8. Suppose x = -0*d - 3*d. Calculate the remainder when 63 is divided by -1 + d + (-34)/(-2).
15
Suppose 31*o - 28490 = -39*o. Suppose -2*w + 9 = -73. Calculate the remainder when o is divided by w.
38
Suppose -i = 4*b + 2*i - 407, 5*b - 511 = -3*i. Suppose 116 = 2*m - b. Suppose -2*f = 3*f - m. Calculate the remainder when 86 is divided by f.
20
What is the remainder when 188 is divided by (-69 + 59)*((-29)/5 + 1)?
44
Suppose -3*f + 162 = d, -8*d + 3*d + 40 = f. Let h = f - 37. Calculate the remainder when (17 - h)/((-1)/77) is divided by 20.
17
Suppose -3*g - 10 = j, -2*g + 8 = 4*j - 2. Suppose 8*o = j*o + 75. Let d = -63 - -160. Calculate the remainder when d is divided by o.
22
Suppose -103*z + 90*z + 468 = 0. Calculate the remainder when 100 is divided by z.
28
Suppose 0 = -6*i + 2*i + 4*b - 4, -5*b + 10 = 0. Suppose -2*y + 5*n = n - 70, 4*y + 2*n = 90. What is the remainder when y is divided by i + 0 + 10 + -4?
4
Calculate the remainder when -56 - -46 - 16*-8 is divided by 25.
18
What is the remainder when 50 is divided by (-7)/(-14)*-4*-9?
14
Suppose 4*l - 35 = -3*x, l + 2 = 2*x - 3. Suppose u - r - 98 = 0, -l*u - r + 488 = -4*r.