lculate the remainder when k is divided by 3.
2
Let l = -875 - -952. Calculate the remainder when l is divided by 25.
2
Suppose d + 5*o = -5, 2*o + o = -3. Suppose d = -a - 5 + 3. Let l = a + 22. What is the remainder when 78 is divided by l?
18
Let t(q) = 4*q**2 - 6*q + 1. Let o = 23 + -4. Let z = 23 - o. What is the remainder when t(z) is divided by 21?
20
Let t(z) be the second derivative of z**5/20 + 2*z**4/3 + z**3/3 - 5*z**2/2 + 36*z. What is the remainder when t(-7) is divided by 11?
8
Suppose w = 3*j - 17, -2*w = 5*j - 3*w - 31. Let o = 22 - j. Calculate the remainder when 40 is divided by o.
10
Suppose 2*h - 66 = -4*c + 68, -5*h + 340 = 5*c. What is the remainder when h is divided by 18?
15
Suppose -4*m + 5*f - 145 = 0, -m - 3*f - 36 = -4*f. Let r = m + 40. Calculate the remainder when 22 is divided by r.
2
Let c = 73 - 70. Suppose -c + 147 = 4*f. Calculate the remainder when 71 is divided by f.
35
Let n = -48 + 157. What is the remainder when n is divided by 8?
5
Let d be 8/(-6)*63/(-14). Suppose a - 10 = d*a. What is the remainder when 4*a/(-12)*102 is divided by 23?
22
Suppose 8460 = 454*d - 439*d. Calculate the remainder when d is divided by 115.
104
Suppose -4*k - 3*v - 61 = 25, -2*k - v = 44. Let d = 37 + k. Let f = 31 + -4. Calculate the remainder when f is divided by d.
13
Suppose 3*g = 2*g - j, 45 = 5*g - 4*j. Suppose g*q + 6 = 5*p + 66, 3*p - 39 = -2*q. Suppose 3*b = -0*b + q. Calculate the remainder when 18 is divided by b.
3
Let q be 2/(0 + (-6)/(-15)). Suppose -3*x + q*u - 19 = 0, -x + 5 = 2*u - 7. Calculate the remainder when 2 is divided by x.
0
Suppose 0 = 3*z - 3 - 9. Suppose z*t = -16, 232 = c + 4*c - 3*t. What is the remainder when c is divided by 9?
8
Suppose 2*g = -5*x - 15 + 48, -4*x = -4*g - 4. Suppose 9 = k - g*k. What is the remainder when 25 is divided by -1*((-81)/k)/(-3)?
7
Let i(t) = -t**2 - 17*t + 4. Let o be i(-23). Calculate the remainder when 5 - 8 - (o - 2) is divided by 17.
14
Calculate the remainder when 852*((-30)/(-12) - (0 + 2)) is divided by 72.
66
Suppose -5*z + 306 = -284. What is the remainder when z is divided by 30?
28
Suppose 2*w - 10 = -4*m, 0 = 3*w + 4*m - 19 + 4. Let c = 12 + -14. Let j = c + w. What is the remainder when 7 is divided by j?
1
Suppose 7*r - 5*c = 5*r + 178, 332 = 4*r + 2*c. What is the remainder when 310 is divided by r?
58
Suppose -3*d + 6 = 0, -8 = -3*c - d + 3. What is the remainder when 14 is divided by c?
2
Let o = -773 - -800. What is the remainder when 510 is divided by o?
24
Let r(a) = a**3 - 6*a**2 - 50*a - 10. What is the remainder when 88 is divided by r(11)?
43
Calculate the remainder when 58 is divided by (124/1240)/(1/110).
3
Suppose 5*v - 4 = 1. Let l be (-9)/(-9)*1*53/(-1). What is the remainder when 39 is divided by (-10 + l)*v/(-3)?
18
What is the remainder when 292 is divided by ((-98)/(-4))/(3/(54/9))?
47
Let n(v) = -v**2 + 3*v + 8. Suppose 4*c - 43 - 29 = 0. Let f = -14 + c. Calculate the remainder when 10 is divided by n(f).
2
Let j = 20 + 4. Suppose 59*b = 53*b + 558. What is the remainder when b is divided by j?
21
Let d be 0*(1 - 4/3). Calculate the remainder when 95 is divided by 48/(-10)*(-7 - (d - 2)).
23
Suppose 4*z = z + 6. Let b(k) = k**3 - 12*k**2 + 12*k - 11. Let v be b(11). Suppose z*p + v*p = 14. Calculate the remainder when 27 is divided by p.
6
Suppose -5*s + v = -48, 2*v = -3*s + 5*s - 16. Suppose -t - 3 = -4*j + 2, 10 = 2*t + 2*j. What is the remainder when s is divided by t?
1
Let v = -63 + 65. Suppose v*w - 130 = -5*m, 5*w - 36 - 68 = -4*m. Calculate the remainder when 75 is divided by m.
23
Let o = -40 - -90. What is the remainder when o is divided by 11?
6
Let o = 2097 + -1900. What is the remainder when o is divided by 66?
65
Calculate the remainder when (18/4)/((-66)/(-968)) is divided by 14.
10
Suppose 0 = 2*r - 3*t - 48, 0 = 4*r + r + 2*t - 158. Calculate the remainder when 629 is divided by r.
29
Let v(f) be the first derivative of 2*f**3/3 - 4*f**2 - 17*f - 1. What is the remainder when 46 is divided by v(7)?
21
Let j = 426 + -330. What is the remainder when j is divided by 25?
21
Suppose -3*b - b = 232. Let w = b - -103. Calculate the remainder when 88 is divided by w.
43
Suppose 5*s + 5*f = 340, -136 = -2*s - 19*f + 15*f. What is the remainder when s is divided by 19?
11
Let r be (4/(-6))/(4/(-24)). Suppose 0*v - r*v = 0. Suppose -4*z + 84 = 3*a + 2*a, v = -a. Calculate the remainder when z is divided by 11.
10
What is the remainder when 45 is divided by (-12)/(-8)*1/(9/138)?
22
Suppose 42 = p + 2*l, 4*p - 27 = 3*p + l. Let z(q) = -q**2 - 8*q - 9. Let o be z(-7). What is the remainder when p is divided by 3/(-6)*11*o?
10
Suppose -s = 3*s - 176. Let q = 13 + -4. Calculate the remainder when s is divided by q.
8
Let v be ((-3 + 3)/(-4))/(-2). Let k be (-180)/4 - (1 + v). Calculate the remainder when 21 is divided by k/(-6) + (-4)/(-12).
5
Suppose -3*z = 2*s - 17, 26 = 5*z + 2*s - 5. Calculate the remainder when 61 is divided by z.
5
Suppose 80 - 98 = -18*j. Calculate the remainder when 13 is divided by j.
0
Calculate the remainder when 70 is divided by 51 - ((-2)/(-11))/((-16)/(-176)).
21
Let h(u) = -4*u - 6. Suppose 4*m + 9 = 1. What is the remainder when h(-5) is divided by m/(4/6*-1) - -2?
4
Suppose 88*z - 6574 = 50*z. What is the remainder when z is divided by 50?
23
Suppose 0 = -3*m + c - 261 + 671, -2*c = -2. Calculate the remainder when m is divided by -10*(-2)/(4/7).
32
Calculate the remainder when 214 is divided by 2/(-7)*(-777)/6.
29
Let u(x) be the first derivative of x**2/2 + 26*x + 26. Calculate the remainder when u(11) is divided by 13.
11
Let y(n) = n**3 - 25*n**2 - 46*n - 91. Calculate the remainder when y(27) is divided by 65.
60
Suppose 4*y - 3*y - 359 = 0. Suppose -5*l + y = -6. Suppose -l + 333 = 5*u. Calculate the remainder when u is divided by 18.
16
Let q = 131 + -64. Calculate the remainder when q is divided by 17.
16
Suppose -r = -s - 36, -5*s = r - 4*s - 38. What is the remainder when r is divided by 21?
16
Suppose -4*r - 3*o + 460 = 0, -23*r + 428 = -19*r - 5*o. Calculate the remainder when 444 is divided by r.
108
Let c = 12 - 42. Let a = c - -56. What is the remainder when a is divided by 7?
5
Let p = -22 + 42. Suppose -v = -2*v + 16. What is the remainder when 2/(-4) - (-950)/p is divided by v?
15
Let c(b) = -12*b**2 + 5*b + 5. Let x be c(-4). Let l = x + 130. Let r = l + 152. What is the remainder when r is divided by 19?
18
Let w be ((-8)/12)/(-3 + (-52)/(-18)). Suppose -w*y - 52 = -196. Calculate the remainder when 69 is divided by y.
21
Suppose -4*l = 12*b - 7*b - 25, -3*b = -5*l + 22. Calculate the remainder when 42 is divided by l.
2
Let m(c) = c - 27. Let i be m(21). Suppose 0 = -4*u + 43 + 89. Let w = i + u. Calculate the remainder when 78 is divided by w.
24
Let w(t) be the first derivative of 2*t**3 + t**2/2 - t - 3. Calculate the remainder when 103 is divided by w(-2).
19
Suppose 33*w - 934 = -76. Calculate the remainder when 51 is divided by w.
25
Let t(r) = -r**3 - 10*r**2 + 8*r + 24. What is the remainder when 455 is divided by t(-11)?
56
Let c be (-1)/((-2)/(-6) - 0) - -1. Calculate the remainder when 37 is divided by (-352)/(-24) + 5 - c/(-3).
18
Let i = -856 - -1136. What is the remainder when i is divided by 24?
16
Suppose 10*a = 15*a + 4*n + 915, a = -3*n - 194. Let y = -177 - a. What is the remainder when 3 is divided by y?
1
Let b(d) = -5*d - 6. Calculate the remainder when b(-23) is divided by 7.
4
Let k be (1 - -9 - 2) + -4. Suppose o + b - 17 = 3, k*o - 55 = b. What is the remainder when 27 is divided by o?
12
Let n = 21 - 41. Suppose 4*c + 42 = 5*v - 7*v, 3*c = -2*v - 29. Let j = c - n. What is the remainder when 18 is divided by j?
4
Suppose -24 = -m - n + 3*n, -150 = -5*m + 4*n. Suppose 0 = -0*u + 17*u - 306. Calculate the remainder when m is divided by u.
16
Let q = 3035 + -2938. What is the remainder when 767 is divided by q?
88
Let g = -212 - -275. Let u(k) = 36*k**2 + k - 1. What is the remainder when g is divided by u(-1)?
29
Let s = 866 - 711. What is the remainder when s is divided by 12?
11
Suppose -4*a + 5 + 15 = 0. Suppose -4*d + 2*u = 200, a*d - u = -4*u - 250. What is the remainder when 105 is divided by ((-54)/5)/(20/d)?
24
Let o(w) = 14*w**2 + 6*w 