ppose 4*l = -4*h + 44768, 0 = 4*h + 39*l - 41*l - 44762. What is the remainder when h is divided by 91?
89
Let o = -1749 - -1760. What is the remainder when 10643 is divided by o?
6
Suppose -166*k + 329*k - 161*k = 352. Calculate the remainder when k is divided by 82.
12
Suppose -45*x + 917 + 3414 = -1159. What is the remainder when 377 is divided by x?
11
Let f = 581 - 518. Calculate the remainder when f is divided by 18.
9
Let y = -299 + -23. Let t = y - -502. Calculate the remainder when t is divided by 46.
42
Suppose -2*y + 485 = 2*r - r, 1005 = 4*y - 5*r. What is the remainder when 1211 is divided by y?
231
Suppose -5*m + 92*i - 89*i = -69, -48 = -5*m - 4*i. Let q(a) = -14*a + 185. Calculate the remainder when 2 - (-1 + 1 + -45) is divided by q(m).
13
Suppose -3*f - 23*u + 24*u = -434, 566 = 4*f + 5*u. What is the remainder when f is divided by 7?
4
Let r = 9082 + -9077. Suppose z + 0*z = -4*p - 1, -z = -2*p + 1. Calculate the remainder when r is divided by z/(1/(-8)*2).
1
Let h(q) be the first derivative of q**4/4 + 8*q**3/3 + q**2/2 - 48*q + 34. What is the remainder when 285 is divided by h(-6)?
15
Let v(h) = 14*h**2 + h + 4. Let z be v(-3). Let l = z + -113. Calculate the remainder when 167 is divided by l.
13
Let u(m) = 6*m**2 + 207*m + 12. What is the remainder when u(-36) is divided by 18?
12
Let v = -5 - -60. Suppose -5*m - 2*k = -4*k - 163, -73 = -3*m - 5*k. What is the remainder when v is divided by m?
24
Let b = 4423 - 2702. What is the remainder when b is divided by 38?
11
What is the remainder when 165 is divided by 14 + (14*(-10)/35)/((-8)/6)?
12
Let q = 164 - 332. Let s = 187 + q. Calculate the remainder when 74 is divided by s.
17
Let v be (132/24)/11 - (-30)/4. Suppose -v*b + 57 + 87 = 0. Calculate the remainder when 55 is divided by b.
1
Suppose 2*i - 124 = 2*x, 3*x = -2*i - 2*x + 89. Let o = 113 + -102. Suppose -o*t - 15 = -12*t. Calculate the remainder when i is divided by t.
12
Let c = -570 + 755. Calculate the remainder when c is divided by 46.
1
Let k(d) = d**3 - 58*d**2 + 655*d - 15. What is the remainder when 1354 is divided by k(15)?
4
Calculate the remainder when -1 - -2054 - (2220/(-10))/37 is divided by 206.
205
Suppose -36*j - 93*j - 2167 = -9391. Calculate the remainder when j is divided by 23.
10
Suppose 131*p = 14650 + 808. Calculate the remainder when p is divided by 9.
1
Let x(b) = -b**2 - 16*b - 13. Let a be x(-15). Suppose 0 = -u + a + 3. Suppose u*d + 0*d - 125 = 0. Calculate the remainder when d is divided by 8.
1
Calculate the remainder when (3*76/(-8) - 2)/((-5)/70) is divided by ((21 - -4) + 1)/2.
11
Let k be (-6 - -4 - -3)*-263. Let o = 328 + k. Calculate the remainder when o is divided by 3.
2
Suppose 0 = -5*a - 2*h + 324, 0 = 3*a - h + 56 - 257. What is the remainder when ((-2)/(-6))/((a/(-1044))/(-11)) is divided by 18?
4
Suppose 3*g = -0*g + 2*n + 33, 0 = -3*n. What is the remainder when ((-4)/2)/(508/(-3302)) is divided by g?
2
Suppose 798 = -9*c + 294. Let d = 63 + c. Let k(t) = -t - 5. What is the remainder when k(-17) is divided by d?
5
Suppose -30*r + 58*r - 7504 = 0. Calculate the remainder when r is divided by 70.
58
What is the remainder when (12575 - 0) + ((-32)/48)/(3/(-18)) is divided by 44?
39
Let q(f) = f**3 + 20*f + 23. Calculate the remainder when q(0) is divided by -2 + 2 - (-2 + 1).
0
Let z = -19159 + 19816. What is the remainder when z is divided by 20?
17
Suppose -3*y = -3*m - 6303, 2*m - 8398 = -2*y - 2*y. Suppose 17*v - y = 263. Calculate the remainder when v is divided by 28.
27
Suppose -19*h = 9*h + 11928. Let k = -360 - h. Calculate the remainder when 461 is divided by k.
65
Suppose 0*v - 3*v = -5*x + 1021, 0 = -12*x - 3*v + 2481. What is the remainder when x is divided by 135?
71
Suppose -3*y + y + b + 81 = 0, 5*y - 201 = 3*b. Let n(g) = -g**3 + 21*g**2 - 92*g - 17. Calculate the remainder when n(10) is divided by y.
37
Let k(d) = 2*d + 3. Let r(f) = 6*f - 38. Let x(s) = 4*k(s) - r(s). Let a be -2*(2 + 57/6). What is the remainder when 21 is divided by x(a)?
1
Let z(v) be the third derivative of -v**6/120 + 7*v**5/12 - v**4/24 + 21*v**3/2 + 99*v**2. What is the remainder when z(35) is divided by 11?
6
Let x(y) = 2*y**3 + 96*y**2 - 78*y - 109. What is the remainder when x(-48) is divided by 130?
125
Suppose 2*d - 740 = -5*w, -5*d - w + 1730 + 51 = 0. What is the remainder when d is divided by 149?
57
Suppose -5*s + 174 = -26. Let d(t) = 5*t - 41. Let c be d(9). Suppose 2*j = -0*j - q + 19, c*q = -5*j + s. Calculate the remainder when 35 is divided by j.
11
Let b be 3/(18/9 - 634/318). Let y = 623 - b. What is the remainder when y is divided by 49?
48
Let i(w) = -2*w**3 - 12*w**2 - 15*w - 50. Suppose 0*t = -4*t + 308. Calculate the remainder when i(-7) is divided by t.
76
Let a = -989 + 1845. Suppose 0 = -2*g - 5*l + 802 + 62, 2*g - a = -3*l. What is the remainder when g is divided by 47?
46
Suppose 37*w + 18149 = 91*w - 4261. Calculate the remainder when 422 is divided by w.
7
Let n = -125 - -199. What is the remainder when -9 - ((-1)/(5/(-15)) + 32/(-8) + -170) is divided by n?
14
Suppose 44 = -m + 3*s, 3*s - 73 = 10*m - 8*m. Let k(o) = -o**3 - 27*o**2 + 58*o + 15. What is the remainder when 1 + 4 + -2 + 39 is divided by k(m)?
12
Suppose -8 = -h - 6. Let u be (-34)/((h/4)/(5/10)). Let w = u - -49. Calculate the remainder when 28 is divided by w.
13
What is the remainder when (957444/184)/(5/((-10)/(-3))) is divided by 13?
11
Let f = 16 - 53. Let d = f - -41. Suppose d*z - 6*z = -14. What is the remainder when 39 is divided by z?
4
Suppose 180 = -15*i + 19*i. What is the remainder when i is divided by ((-5)/25*13)/((-5)/(75/3))?
6
Suppose -56 = -4*o + 4. Let i be 3/o - 57/(-15). Calculate the remainder when 33 is divided by -3 + -1 + i + 7.
5
Suppose 4*d - 63 = d. Suppose -81 = -6*x + d. Suppose 9 = -j + x. Calculate the remainder when 35 is divided by j.
3
Let c(m) = 3444*m + 154. Calculate the remainder when c(1) is divided by 40.
38
Suppose 4*d - 43 + 3 = 4*f, 5 = 4*d + 3*f. Suppose -r - 1 = 0, 155*k = 157*k + 4*r - 100. Calculate the remainder when k is divided by d.
2
Suppose 3*q - c = -16, 2*q + 3*c + 22 = q. Let r = -4 - q. Suppose -13 = -n + 3*k, r*n = 2*k - 0*k + 39. Calculate the remainder when n is divided by 3.
1
Let y = 758 + 3628. What is the remainder when y is divided by 77?
74
Suppose 0 = -9*v - 9*v + 37676 + 27754. What is the remainder when v is divided by 35?
30
Suppose -95*p + 100*p - 95 = 0. What is the remainder when 56 is divided by p?
18
Suppose -l = 4*r - 6, 2*r + 4*l + l + 6 = 0. Suppose -r*x - 6 = 126. Let f = x + 128. What is the remainder when f is divided by 13?
10
What is the remainder when (1 - (4 + 906) - 26/(-13))*-1 is divided by 130?
127
Let d = -5276 + 5416. Calculate the remainder when d is divided by 42.
14
Suppose 70*i + 449 - 12979 = 0. What is the remainder when i is divided by 4/(-18) + (-814)/(-18)?
44
Suppose -63*s - 351 = -62*s. Let t = -324 - s. What is the remainder when 181 is divided by t?
19
Let v be 4/(-6) + (-19818)/(-81). Suppose -5*f + v = -2*k, 0 = -10*k + 6*k - 8. What is the remainder when 183 is divided by f?
39
Suppose 5*i + k + 6 = 0, 4*i = i + 3*k. Suppose 55*r - 62*r = -5*f + 57, -2*f - 2*r + 18 = 0. What is the remainder when (-50)/i*(-1)/(-2) is divided by f?
5
Let a(r) = r**2 - 7*r - 2. Let x(n) = -n**2 - 11*n. Let o be x(-10). Suppose w - o*w + 72 = 0. Calculate the remainder when 28 is divided by a(w).
4
Let s = -273 + 322. What is the remainder when 7542 is divided by s?
45
Let f(w) = -w**2 + w + 49. Let r = -40267 + 40284. What is the remainder when f(0) is divided by r?
15
Suppose 1873 - 695 = 19*k. Suppose 0*o - 61 = -4*o - 3*u, -5*o + k = -u. What is the remainder when 116 is divided by o?
12
Suppose 583 - 187 = 23*b + 109*b. Calculate the remainder when 124 is divided by b.
1
Let g = 58 - 53. Suppose 0 = -3*r - 3*n + g*n + 756, 0 = 2*r - 5*n - 515. Calculate the remainder when r is divided by 51.
46
Calculate the remainder when (((-2)/(-9))/((-3)/(-1494)))/((-440)/(-38280)) is divided by 90.
88
Suppose 11068 = 417*j - 447*j + 63568. What is the remainder when j is divided by 40?
30
Suppose 12*q = 19*q - 301. Let a = -228 - -399. What is the remainder when a is divided by q?
42
Let t(n) = -n