remainder when 1261/39 + 1/(-3) - 1 is divided by 19.
12
Let k(f) = 3*f + 28. Let c be k(-7). Suppose -6*l = -c*l + 23. What is the remainder when 135 is divided by l?
20
Let a(k) = -k**2 + 4*k. Let z be a(1). Suppose -136 = -3*s - 4*p, -z*p = -2*s + 58 + 44. What is the remainder when 137 is divided by s?
41
Let x(v) be the third derivative of 59*v**5/60 - 7*v**2. Suppose 2*s = -8*s + 120. What is the remainder when x(1) is divided by s?
11
Let u(j) = -j**2 + 43*j + 542. Suppose -2*s - 3*s + 132 = 3*c, 4*s + 3*c - 105 = 0. Calculate the remainder when u(51) is divided by s.
26
Calculate the remainder when 1308 is divided by (-5)/(-13 - (-684)/54).
3
Suppose 0 = -2*d - o + 23, -o + 4*o + 15 = 0. Suppose 0 = -l - 9*l + 480. Calculate the remainder when l is divided by d.
6
Suppose 101 = -6*w + 179. Calculate the remainder when 269 is divided by w.
9
Let x(r) = -3*r**3 - 18*r**2 - 3*r - 2. Suppose -1 = n + 5*o - 5, 2*n + 3*o + 6 = 0. What is the remainder when 28 is divided by x(n)?
12
Let b = -402 + 414. Calculate the remainder when 266/4 + 6/b is divided by 67.
0
Let w = 2099 + -1213. Suppose -3*o = 6, -j + 4*o = -123 + 26. Calculate the remainder when w is divided by j.
85
Let u(s) = 4*s + 14. Let c be u(-4). Calculate the remainder when 12 is divided by (-2 - 0)/c + (9 - 5).
2
Suppose 0 = 4*f + 5*p - 81, -2*f = -10*p + 8*p - 54. Suppose -492 = 12*x - f*x. What is the remainder when 118 is divided by x?
36
Suppose 285*l = 7845 + 3270. What is the remainder when 141 is divided by l?
24
Suppose -84 = 5*i - 529. Let v be (2 + 434/21)/((-4)/(-42)). Suppose 3*x - v = -2*x - 2*a, -5*a = -4*x + 164. Calculate the remainder when i is divided by x.
43
Let d = 101 - 64. Let m = d - 11. Suppose -o + m = 2*v, 0*v + 3*o - 23 = -v. Calculate the remainder when 41 is divided by v.
8
Suppose 18 = -r + 212. Calculate the remainder when r is divided by 47.
6
Suppose 601 = 8*o - 3*o - 4*m, -3*m = o - 105. Let s = 1 - -3. Calculate the remainder when o is divided by s.
1
Calculate the remainder when (1430/(-33))/((-11)/132) is divided by 19.
7
Let t(l) = 9*l**2 + 78*l + 10. Calculate the remainder when 459 is divided by t(-9).
15
Suppose 0 = 4*l + 38 - 326. Let v be -1*(-58 + 42/7). Let a = l - v. What is the remainder when a is divided by 15?
5
Suppose -o - 2*s = -339, -4*o + 3*s = o - 1695. What is the remainder when o is divided by 26809/765 + -15 - 6/135?
19
Let j(h) = 9*h**2 + 195*h + 789. What is the remainder when j(-4) is divided by 26?
23
Suppose 0 = -4*h - h + 15, -2*h = -5*i + 689. Let z = 57 - i. Calculate the remainder when 53 is divided by 4/12 - z/6.
11
Suppose 2*t = k + t - 155, 2*t = 0. Let l = -6666 + 6692. What is the remainder when k is divided by l?
25
Suppose 0 = -5*a + j + 1523, -2*j + 1231 = 4*a - j. Calculate the remainder when a is divided by 192.
114
Let f be 2/(-4) - 450/4. Let w be (4/(-10))/(44/9680). Let p = w - f. What is the remainder when p is divided by 14?
11
Let k(h) = -884*h - 6676. Calculate the remainder when k(-9) is divided by 217.
195
Suppose 4*a - 2*s - 284 = 0, 39 = -2*a + 2*s + 183. What is the remainder when 123 is divided by a?
53
Let a(h) = -2*h**2 + 15*h - 105. Let y be a(14). Let d = -227 - y. Calculate the remainder when d is divided by 56.
4
Let z be (-2)/4 - 6/((-60)/25). Suppose -18*h + 40 = -14*h + 4*l, z*h - 2*l - 4 = 0. Calculate the remainder when 15 is divided by h.
3
Suppose 3222355 - 11471604 = -817*k. Calculate the remainder when k is divided by 326.
317
Let l = -203 - -209. Let y(a) = 10*a - 22. What is the remainder when 303 is divided by y(l)?
37
Suppose p + 15 = 4*p. What is the remainder when ((-27)/6)/((-1)/2) is divided by -2 + 2 + -1 + p?
1
Let f(k) = -64*k - 2383. Calculate the remainder when f(-40) is divided by 40.
17
Suppose -115*n - 397429 = -1123079. Calculate the remainder when n is divided by 107.
104
Let q(t) = 16*t**3 + 4*t**2 - t - 2. Let w be q(1). Let d = 151 - w. Suppose 2*x - 5*l = 54, 4*l - l = 0. Calculate the remainder when d is divided by x.
26
What is the remainder when 64 + -2 + -23 + 41 is divided by 4?
0
Let g(x) = -758*x - 2855. Calculate the remainder when g(-7) is divided by 152.
19
Suppose 0 = -223*h + 38843 + 9147 + 31398. Let l(s) = 3*s + 2. Calculate the remainder when h is divided by l(6).
16
Let p = 86 + -83. Suppose 3*i - 42 = -p*i. Let a = i + 134. What is the remainder when a is divided by 16?
13
Let s = 11 + -14. Suppose -5*v + 5*q + 243 = -272, -3*q - 505 = -5*v. What is the remainder when v is divided by (-4 - s - 1) + 35?
32
Let h(r) = 84*r - 1558. Calculate the remainder when h(44) is divided by 58.
50
Suppose 0 = -2*a - 39*g + 44*g + 1359, -g = -5*a + 3363. Suppose -63*w + a = -57*w. Calculate the remainder when w is divided by 3.
1
Let y be (2 - 2)/(3 - 4). Suppose -w + 3 = h, 5*h + 7*w - 5*w - 27 = y. What is the remainder when 81 is divided by h?
4
Let z(p) = p - 1. Let d(q) = -12*q + 6. Let x(t) = 2*d(t) + 22*z(t). Let j(o) = 52*o + 45. Let w be j(-1). What is the remainder when x(w) is divided by 3?
1
Let r = 1889 + -1711. Calculate the remainder when r is divided by 57.
7
Suppose -14764*k + 14733*k = -527. What is the remainder when 7851 is divided by k?
14
Let q(r) = r**2 + 40*r - 68. Let a be q(-28). Let j = a - -499. Calculate the remainder when j is divided by 11.
7
Let q(o) = -8*o - 11. Let g be ((-2)/5 - -1)/(28/140). Suppose -53 = g*y + 4*r - 0*r, 4*r + 9 = y. Calculate the remainder when q(y) is divided by 29.
19
Let l = -19 - -29. Suppose -9*y + 2*x + 34 = -8*y, -y - 4*x = -40. What is the remainder when y is divided by l?
6
Let l(i) = i**3 - i**2 - 54*i + 97. Let j(h) = 448*h**3 - h**2 + h. What is the remainder when j(1) is divided by l(8)?
109
Let y = 37 - 7. Suppose j - d = y, -j - 2 + 42 = -3*d. What is the remainder when j is divided by 3?
1
Let t(p) = 11*p + 364. What is the remainder when t(9) is divided by 126?
85
Let p(s) = -8*s + 1. Let j = -100 + 103. Suppose j*k = 9*k - 198. What is the remainder when k is divided by p(-2)?
16
Suppose -21*t + 11*t + 90 = 0. What is the remainder when 121 is divided by (31/(-2))/(-2 + t/6)?
28
Let l be (3/(-30))/((-1)/(-6))*-30. Calculate the remainder when 49/(5 + l/(-4)) is divided by (-1)/((-3)/33)*3.
32
Let l be (11/1 - 1) + -2. Let v(g) = 3*g + 8. Suppose -j + 244 = 227. What is the remainder when v(l) is divided by j?
15
Let m(d) = d**2 - 10*d + 16. Let u be m(2). Suppose u = -13*a + 7*a + 72. Calculate the remainder when 58 is divided by a.
10
Let o = -23116 + 23146. What is the remainder when 657 is divided by o?
27
Let u = 5550 - 5479. What is the remainder when 264 is divided by u?
51
Let j = -3219 - -3234. What is the remainder when 254 is divided by j?
14
Suppose -37*h = -3*w - 42*h + 762, -2*w + 5*h + 533 = 0. What is the remainder when w is divided by 46?
29
Suppose 61*s - 64*s = -93. Suppose -2*a + 5*l = -61, l = -3*a - 0*l + 134. Let t = -36 + a. Calculate the remainder when s is divided by t.
3
Let r(o) = 3*o - 55. Let u be r(-11). What is the remainder when 25/(-2)*u/55 is divided by 11?
9
Suppose 8*i - 330 - 132 = 682. Calculate the remainder when 425 is divided by i.
139
Let s = -745 + -234. What is the remainder when 117 is divided by (-8)/10 + s/(-55)?
15
Calculate the remainder when (15/(-2)*(-35 + 37))/((-1)/118) is divided by 221.
2
Let l be (-4)/(-2) - (86 - -1 - -8). Let x = l - -124. What is the remainder when 84 is divided by x?
22
Let u(h) = -h**3 - 4*h**2 - 4*h - 6. Suppose -5*f + 2*b + 14 = 0, f - 5*b + 16 = 28. What is the remainder when u(-4) is divided by f?
0
Let f(r) = -r + 7. Suppose 5*b = -3*o + 13, -b + 1 = -2*o - 12. Let v be -3 - (o - -1 - -4). Calculate the remainder when 64 is divided by f(v).
9
Suppose -312 = -4*i - z, -z + 384 = 10*i - 396. What is the remainder when i is divided by 43?
35
Let x = -521 - -327. Let n = -155 - x. What is the remainder when 153 is divided by n?
36
Let u = -685 - -760. Calculate the remainder when u is divided by 31.
13
Let h(x) = -3*x**3 - x**2 - 1. Suppose -110*c + 118*c - 6520 = 0. Suppose -19*t + c = -211. Calculate the remainder when t is divided by h(-2).
16
Let t(v) be the first derivative of 7*v**4 - v**2/2 + v - 14. What is the remainder when 6576/80 + (-1)/5 is divided by t(1)?
26
Let h(q) = 13*q**3 - q