6575 - 12066. What is the remainder when m is divided by 24?
21
Suppose -2*n + 3*r = -30, -2*n - 45 = -5*n - 5*r. Suppose -2*d - 3*u = -n, 63 = 2*d + 3*d - u. Calculate the remainder when 51*((-8)/(-3) - 2) is divided by d.
10
Let l be 1 - 0 - (-88)/(-8). Let z(u) = -u**2 - 32*u - 19. Let i be z(l). Let r = i - 155. What is the remainder when 274 is divided by r?
44
Suppose 5*z = 5*m + 190, 4*m - 26 = -z - 13. What is the remainder when z is divided by 4?
1
Let i(j) = 29*j + 26. Let f be i(5). Let x = 330 - f. Calculate the remainder when x is divided by 23.
21
Let w(p) = -31*p - 1237. Calculate the remainder when 1461 is divided by w(-41).
33
Let h = 10247 - 9485. What is the remainder when h is divided by 10?
2
Let j = 10819 + -10500. What is the remainder when 337 is divided by j?
18
Suppose 3*f + 18 = 0, -15*t + 10*t = -3*f - 5448. Calculate the remainder when t is divided by 52.
46
Suppose 226*c + 146 = 228*c. What is the remainder when c is divided by 20?
13
Let x(h) be the first derivative of h**4/4 + 14*h**3/3 + h**2/2 + 30*h - 65. What is the remainder when x(-14) is divided by 6?
4
Let b = -321 + 553. Calculate the remainder when 719 is divided by b.
23
Let u(c) = c**2 + 103*c + 30. Calculate the remainder when u(8) is divided by 66.
60
Suppose -3*k - 117 = -4*k. Suppose -3*c + 3 = 0, 3*m - 4*c = -2*m + 1. Calculate the remainder when k is divided by m/((-8)/(-312)) + 2/2.
37
Let s = -9625 - -9885. What is the remainder when s is divided by 30?
20
Suppose -1035 = -5*u - 28*u + 10*u. What is the remainder when 47 is divided by u?
2
Let i(w) be the second derivative of -5*w**4/12 - 55*w**3/6 + 25*w**2/2 - 41*w. What is the remainder when i(-11) is divided by 13?
12
Let i(h) = 19*h + 13. Let u be i(-1). Calculate the remainder when 30/(46/(-8) - u) is divided by 31.
27
Let u(g) = 3*g**2 - 10*g - 11. Let q be u(5). Suppose q + 25 = -3*y. Let v = y - -44. Calculate the remainder when 117 is divided by v.
24
What is the remainder when 445 is divided by 24*((-24)/(-27))/(26/78)?
61
Suppose -25*d = -32*d + 1764. Suppose 9*t = -0*t + d. Calculate the remainder when 418 is divided by t.
26
Suppose -4*t + 4*g + 2715 = 5*g, -3*t - g + 2036 = 0. Let z = t + -664. What is the remainder when 69 is divided by z?
9
Let x(g) = 26 + 9 + 4 - g. Let p be x(19). What is the remainder when 34 is divided by (-7 + p)/(2*1 - 1)?
8
Calculate the remainder when -2*(28/16 - 2 - 91311/44) is divided by 593.
0
Let y = -331 + 359. What is the remainder when (-5310)/(-39) + (-4)/26 is divided by y?
24
Suppose -2*z - 2512 = -2*b, 364*b + z = 366*b - 2519. What is the remainder when b is divided by 628?
7
Suppose 61 - 79 = 3*s, 0 = 2*i - 4*s - 234. What is the remainder when i is divided by 8?
1
Let a = 178 - 289. Let z = -85 - a. What is the remainder when z is divided by -14*(1 + 0)/(-2)?
5
Suppose 0 = -17*c + 7*c + u + 101, -4*c = -3*u - 17. Calculate the remainder when 5351 is divided by c.
5
Let o = 750 - 618. Suppose -3*f - 2*n = -584, -5*f + o + 833 = 5*n. What is the remainder when f is divided by 64?
6
Suppose 8*c = 13*c - 90. Calculate the remainder when 191 is divided by (-2 + (-8)/(-12))/((-1)/c).
23
Let r = -4246 + 4322. What is the remainder when 903 is divided by r?
67
Let j = 40 - 1. Let u = -91 + 65. Let q = u + j. Calculate the remainder when 23 is divided by q.
10
Let c be (-6*1/4)/(42/(-56)). Suppose -c*k = -m - 226, -3*m - m + 464 = 4*k. Calculate the remainder when k is divided by 40.
34
Let n be 3 + 786/24 + 1/4. Suppose 0 = 2*t - 2 - n. What is the remainder when 24 is divided by t?
5
Let k be 7 + (-9)/((-27)/(-6)). Suppose 148 = k*i - 3*z, 2*i = -5*z - 33 + 86. Calculate the remainder when 74 is divided by i.
16
Suppose -17*y + 5*q + 1990 = 2*q, 5*q + 378 = 3*y. Calculate the remainder when 595 is divided by y.
15
Suppose 877 + 69 = 2*j + 2*p, 3*p + 1395 = 3*j. Let b = j - 462. What is the remainder when 62 is divided by b?
6
Let t = 19109 + -19051. What is the remainder when 281 is divided by t?
49
Suppose -5089 = -195*l + 3296. Let t = 4 + 1. What is the remainder when l is divided by t?
3
Let j be (115/35 + 1)*-7. Let z = j + 46. Calculate the remainder when z/88 - (-700)/22 is divided by 11.
10
Let d(n) = -33*n - 55. Let i be d(-2). Suppose -i*s - 112 = -18*s. What is the remainder when 18 is divided by s?
2
Let m = -164 - -164. Suppose -31*j + 47*j - 96 = m. What is the remainder when 46 is divided by j?
4
Let l = 2965 - 2933. Let k = -1 - -4. Let h = k - -8. Calculate the remainder when l is divided by h.
10
Suppose 1 - 22 = -7*h. Suppose -h*o = -4*o + 12. What is the remainder when o is divided by 10?
2
Suppose 0 = 5*t - 618 - 17. Let i(w) = 4*w**2 - 25*w + 62. What is the remainder when t is divided by i(4)?
23
Suppose -3692 = 123*a - 8132 - 36888. Calculate the remainder when a is divided by 153.
30
Suppose 0 = 100*y - 540*y + 2330240. Calculate the remainder when y is divided by 57.
52
Let h(l) = -l**3 - 3*l**2 - 3*l - 7. Let f be h(-3). Suppose -21 = -f*k + 65. Let m = 222 - 97. Calculate the remainder when m is divided by k.
39
Let j(x) be the first derivative of -8*x**4 - x**3/3 - 4*x**2 - 20*x + 161. Calculate the remainder when j(-2) is divided by 63.
59
Let w = -1175 + 1217. Let b = 34 - 19. Calculate the remainder when w is divided by b.
12
Suppose 2*c = -5*c - 42. What is the remainder when c/9 - ((-285)/9 + -1) is divided by (4/((-32)/4))/((-4)/40)?
2
Suppose 0 = -2*n + 118 - 178. Let m = 259 - 162. What is the remainder when m is divided by (-100)/6*-1*n/(-25)?
17
Let t = 4135 + -4116. What is the remainder when 1136 is divided by t?
15
Suppose 93 = 3*g - 3*v, -3*g + 75 = -0*g + 3*v. Let y(r) = r + 1157. Let c be y(0). Calculate the remainder when c/7 + (-8)/28 is divided by g.
25
Let y(a) = -a + 53 + 4*a - 2*a. Suppose -4*o - 5*z = -5, o - 2*o - 2*z + 2 = 0. What is the remainder when y(o) is divided by 11?
9
Let x be ((-46)/115)/((-1)/(-20)). Let j be ((-190)/8)/(2/x). Let v = j + -54. Calculate the remainder when v is divided by 15.
11
Let v be (2/3)/((1/(-96))/1). Let s = 60 + v. Calculate the remainder when (-322)/(-2) + s*1 is divided by 32.
29
Suppose -2*n + 2*n = 3*n. Suppose -2*y - 5*b + 25 = 0, -4*y - 2*b + 42 = -n*b. Let d = 31 + -28. Calculate the remainder when y is divided by d.
1
Let k(w) = 147*w**3 - w**2 + w - 1. Suppose 0 = -5*b + z + 73, -22 = -2*b + 6*z - 2*z. What is the remainder when k(1) is divided by b?
11
Let v(t) = 21*t - 156. Let x be v(8). What is the remainder when 69 is divided by x + -5 + 21 - 4?
21
Let r(q) = q**2 - 8*q - 8. Suppose -398*k + 168 = -392*k. Suppose k + 0 = 14*y. What is the remainder when r(10) is divided by y?
0
Let u(d) = d**3 - d**2 + 2*d - 4. Suppose 12*s + 25 = 16*s - 3*o, -2*s + 14 = -2*o. What is the remainder when s + (-474)/(-6) + -6 is divided by u(3)?
17
Let z(q) = -6*q**3 - 4*q**2 + 2*q - 6. Let s be z(-4). Suppose 0 = 64*h - s - 142. What is the remainder when 74 is divided by h?
4
Suppose t + 67 = 3*q, -5*t - 1 = 4. Let s = 29 - q. Let g = 11 + -7. What is the remainder when s is divided by g?
3
Let k = -2843 - -4315. Suppose -7*a - a = -k. Suppose 5*j + b - 4*b = 270, -4*j + a = 4*b. Calculate the remainder when j is divided by 13.
12
Suppose 4 = 3*g + c, 0 = -2*g + 4*c + 17 + 9. Suppose g*f = -3*k + 24, 4*f + 46*k - 51*k - 59 = 0. Calculate the remainder when f is divided by 6.
5
Calculate the remainder when ((-99)/22)/3*(-15946)/21 is divided by 190.
189
Let k = 357 - 345. Suppose -k + 30 = m. Calculate the remainder when m is divided by 9.
0
What is the remainder when 4857 is divided by 891/594 + 177/2?
87
Let m be (-3)/5 - (-35)/50*8. Suppose 7*y - m*x - 17 = 3*y, 2*y - 31 = -5*x. What is the remainder when 79 is divided by y - 1 - (-5 - (0 - 4))?
7
Suppose -p + h + 0 + 42 = 0, 4*p = -4*h + 144. Suppose p*z - 568 = 31*z. Calculate the remainder when z is divided by 41.
30
Let x = -2713 - -2746. What is the remainder when 43 is divided by x?
10
Let n(b) = 42*b**2 + 120*b + 12. What is the remainder when n(-5) is divided by 8?
6
Let b(a) be the third derivative of a**5/60 + 5*a**4/4 - 32*a**3/3 + 4*a**2. Let c be b(-29). Let v = c - -263. Calculate the remainder when v is divided by 58.
54
What is the remainder when 602/4 - 2/(-4) is divided by 2/4*(-5 + 