ded by n?
4
Suppose -63*b = -5*b - 4*b - 756. What is the remainder when 73 is divided by b?
3
Let k(s) = -3*s + 41. Let p = -107 + 97. Let a be k(p). Let y = -64 + a. Calculate the remainder when y is divided by 6.
1
Let x(o) = -2*o - 10*o**2 + 15*o**2 - 1 - 2. Let k be x(-2). Suppose -k = -p - 5*s, -2*p = -0*p - 4*s - 28. What is the remainder when 47 is divided by p?
15
Suppose -214*j = 242*j - 479*j + 1748. Suppose 3*x + x - 108 = 0. What is the remainder when j is divided by x?
22
Suppose -6520 = -5*n + n. Suppose 11*z = n - 442. What is the remainder when z is divided by 22?
20
Suppose -5*k - 5636 = -11*k + 2*k. What is the remainder when k is divided by 177?
170
Let l(d) be the second derivative of -d**3/6 + d**2 - d. What is the remainder when l(-5) is divided by (1224/27)/17 - 4/(-12)?
1
Let i(x) = -15*x - 54. Let v be 1/(-2)*(-23 - -33). What is the remainder when 62 is divided by i(v)?
20
Let u = 12206 - 12118. What is the remainder when 2550 is divided by u?
86
Let m(r) = r**2 + 129*r + 858. What is the remainder when 783 is divided by m(-7)?
3
Let s(t) be the third derivative of t**5/12 + 5*t**4/6 + 31*t**3/6 + 25*t**2. What is the remainder when s(-6) is divided by 30?
1
Suppose 2*f - 27*v + 24*v - 74 = 0, 0 = 4*f - 3*v - 154. What is the remainder when (3 - 2/2) + 77 is divided by f?
39
Let n(d) = 9*d - 13. Let x be n(1). Let k(m) = 9*m**2 + 4*m + m**3 - 5*m - 5*m**2 + 5. What is the remainder when 168 is divided by k(x)?
6
Let b be 1 + -6 + 5 + 2*7. What is the remainder when 39 is divided by b + (-32)/56 + (-8)/(-14)?
11
Let z(c) = c**3 + 5*c**2 + 4*c. Let g be z(-4). Suppose -21 = -2*v - o - g*o, v - 9 = -o. What is the remainder when 95 is divided by v?
11
Suppose -5*d - 3*k = -1925, 5*d + 49*k = 48*k + 1925. Calculate the remainder when d is divided by 19.
5
Suppose -3*z + 32 = a - 85, -4*a - z + 402 = 0. Calculate the remainder when 286 is divided by a.
88
Let c be (2 - 4 - -34) + 3. Let f = -8 + c. Let u = 29 + 24. Calculate the remainder when u is divided by f.
26
Let l = -7729 + 7851. What is the remainder when l is divided by 68?
54
Let l(q) = -q**3 - 7*q**2 - 7*q + 8. Let u be l(-6). Suppose -17*g + 18*g - u = 0. What is the remainder when 65 is divided by g?
9
Let y(r) = -r**3 + 25*r**2 - 64*r - 27. Suppose -27 = -b + 3*s - 7*s, -b = 3*s - 32. What is the remainder when b is divided by y(22)?
13
Calculate the remainder when (-310)/(-4) - 74/(-148) is divided by 39.
0
Let l(v) = 14*v**2 - 10*v + 27. Calculate the remainder when l(-3) is divided by 67.
49
Suppose -334 = -5*x - 5*q - 74, -2*q = 8. Let h(k) = k**3 + 3*k**2 - 132*k - 9. What is the remainder when x is divided by h(-13)?
5
Let s(r) = 21*r + 191. Let t be s(-9). Suppose 33*g - 6720 = -t*g. Calculate the remainder when g is divided by 29.
18
Suppose -2*u - 4*x = -u - 9, -u = 5*x - 11. Suppose 55 = 6*r + 7. Suppose 5 = -3*f + r. Calculate the remainder when f is divided by u.
0
What is the remainder when (-4)/6*-6 + 2450/10 is divided by 69?
42
Suppose 7*s - 987 = 784. Let w = 498 - s. What is the remainder when w is divided by 50?
45
Calculate the remainder when ((-1056)/(-18) - 11)*24 is divided by 373.
25
Suppose -5*k = -170 - 385. Calculate the remainder when k is divided by (-1888)/(-72) + -26 + (-61)/(-9).
6
Suppose 0 = 9*c + 6 - 96. Suppose -211 = -c*w - 71. What is the remainder when 22 is divided by w?
8
Suppose 0 = 2*j - r - 353, -2*j = -2*r - 0*r - 348. Suppose 0 = -j*q + 197*q - 774. Calculate the remainder when 69 is divided by q.
26
Let j(t) = 6*t**3 + 6*t**2 - 3*t - 2. Suppose 2*x - 20 = -8*x. What is the remainder when j(x) is divided by 13?
12
Let n(o) = -174*o - 829. Calculate the remainder when 142 is divided by n(-5).
19
Calculate the remainder when 162 is divided by (190/4)/(2/22 - (-1692)/4136).
67
Let m = -270 + 273. Let a = -42 + 99. Suppose m*f - a = 2*o + 48, f = 5*o + 35. What is the remainder when f is divided by 13?
9
Let x(p) = -2*p**3 - 114*p**2 - 125*p + 49. What is the remainder when x(-56) is divided by 219?
120
Suppose 9 + 1 + 41 = h. Calculate the remainder when -14*(-9 - (0 + 0)) is divided by h.
24
Let d be (66/14 - 4/(-14)) + 6. Suppose d*p - 3596 = -18*p. What is the remainder when p is divided by 18?
16
Suppose 3*v - 2*v + 59 = 0. Let i = -75 - v. Let d = i + 32. What is the remainder when d is divided by 8?
0
Suppose l - 139 = -4*m + 24, -m = 3*l - 16. What is the remainder when 4/30 + (-17941)/(-105) is divided by m?
42
Let h(y) = -11278*y - 9 + 11274*y - 12. Let m(z) = z - 5. Let r be m(-4). Calculate the remainder when h(r) is divided by 8.
7
Suppose 0*g - 12 = -g. Suppose 0 = -k + g. What is the remainder when -1 + 1 - -17 - (594/(-18) - -27) is divided by k?
11
Let z = 505 + 1642. Calculate the remainder when z is divided by 25.
22
Let h = -368 + 425. What is the remainder when h is divided by 23?
11
Let o = 4 - -16. Let n = -35406 + 35519. Calculate the remainder when n is divided by o.
13
What is the remainder when (-1)/((3/465)/((-35)/25 + 1)) is divided by 47?
15
Let v = -4718 + 5068. What is the remainder when v is divided by 23?
5
Suppose -119 = d - 2*t - 2941, 0 = -3*d - 2*t + 8490. Calculate the remainder when d is divided by 189.
182
Suppose 15464*p + 220 = 15475*p. What is the remainder when 578 is divided by p?
18
Let g(n) = -17*n + 103. Let j be g(6). Calculate the remainder when (-272)/24*(j*-9 + 3) is divided by 27.
14
Let j = 205 - 179. Suppose 4*i + 62 = s, s = -i + 88 - j. What is the remainder when s is divided by ((-4)/3)/(12/(-162))?
8
Let h(j) = j**3 - 8*j - 6 - 5*j + 27*j**2 + 62*j - 4. Let m(i) = i**3 + 4*i**2 - 6*i + 3. Calculate the remainder when h(-25) is divided by m(-5).
7
Suppose 2*r - 82 = 2*u, -3*r = -7*r - 4*u + 164. Suppose -305 = -3*j - 107. Suppose -j = -15*b + 12*b. What is the remainder when r is divided by b?
19
Let w(g) = g**3 + 61*g**2 - 209*g + 409. Calculate the remainder when w(-64) is divided by 299.
2
Suppose -4*l - 20 = 0, 5*q + l - 110 = 30. Suppose 5*r - 9 = 5*y + 6, y + 5 = -r. Calculate the remainder when q is divided by r - -4 - 3/(-1).
5
Suppose -r = 4*r + 20, 5*r = 4*c - 72. Calculate the remainder when 9864 is divided by c.
10
Let d = -8 + 15. Suppose -6*w + d*w + 22 = 0. Let x(h) = -4*h - 76. Calculate the remainder when 46 is divided by x(w).
10
Let h = -13 - -19. Let c(t) = 15*t + 78. Let i be c(-2). Suppose q - i = -f, -38 = 5*f - 6*f + 4*q. What is the remainder when f is divided by h?
4
Let t(a) = -48*a**3 - a**2 + 4*a - 1. Let g be t(2). What is the remainder when 35 is divided by 1/4 - (g/12 + 2)?
5
Let d = -4416 + 7681. Calculate the remainder when d is divided by 43.
40
Let f(y) = 10*y**2 + y + 4. Let u be f(2). Let a = u + -17. Calculate the remainder when 258 is divided by a.
26
Suppose 0 = -73*a + 48*a + 25. Suppose s = a, 81*q - 4*s = 84*q - 277. Calculate the remainder when q is divided by 12.
7
Let d = 477 - 481. What is the remainder when 40 is divided by (-113)/d - (-270)/(-120)?
14
Let o = 10 - 71. Let j = -59 - o. Calculate the remainder when 34 + ((-65)/55 - j/(-11)) is divided by 7.
5
Suppose -55 = -2*i - 9*i. Suppose -14 = -i*w - 2*a + 21, 0 = -4*a - 20. Suppose 2*c + 56 = w*c. Calculate the remainder when 28 is divided by c.
4
Let j(q) = 2*q**2 - 123*q - 650. Calculate the remainder when 296 is divided by j(67).
35
Suppose -53787 + 175551 = 451*d - 96971. What is the remainder when d is divided by 80?
5
Suppose 41*g + 151 = 2*x + 46*g, 3*x = -3*g + 249. Calculate the remainder when 250 is divided by x.
74
Calculate the remainder when 499 is divided by 24/(-32)*-10*158/5.
25
Calculate the remainder when 1016 is divided by (-1 + 3/1 - (2 - -1)) + 128.
0
Let z = -109 - 244. Let w = z - -370. What is the remainder when 320 is divided by w?
14
Suppose 601*z = 612*z - 23716. What is the remainder when z is divided by 36?
32
Let o be 2 + -4 - (-8 + 1). Suppose 0*i = o*g + 3*i - 668, -2*i = 2*g - 268. Calculate the remainder when g is divided by -54*1*((-63)/(-18))/(-7).
25
Let d(m) = -2*m**2 + 48*m - 32. Calculate the remainder when 139 is divided by d(23).
13
Let b be (-3)/(-9) + (-10)/(-15) - -3. Let p be (-3)/(-2)*b/(-18)*0. What is the remainder when (-1)/((p + 2/258)/(-1)) is divided by 22?
19
Let a = -29 + 110. Suppose 2*s + 3*n = 