e remainder when y is divided by 15 + (-3 - -1) + 1.
3
Let z be (-3 - (3 + -6))/(2 + 0). Suppose 32*x - 36*x + 48 = z. Calculate the remainder when 27 is divided by x.
3
Let d be 1 - -2 - (-1 + 2). Let t = 10 - -40. Suppose t = d*z - 66. What is the remainder when z is divided by 15?
13
Calculate the remainder when -12 - -13 - (-162)/2 is divided by 21.
19
Let i = -4 + 8. Suppose -5*s + 3*w - 12 = 0, s + w - 2 - 2 = 0. Suppose -2*r = -2*y - 2, 2*r + s*y + 2 = 3*y. What is the remainder when r is divided by i?
1
Suppose z + 32 = d, -4*z = -5 + 1. Calculate the remainder when 129 is divided by d.
30
Suppose -13*h = -10*h - 2*r - 32, 0 = -2*h + r + 21. Calculate the remainder when 20 is divided by h.
0
Suppose 2*j - 6 = 52. Calculate the remainder when 115 is divided by j.
28
Let m(p) = -17*p + 25. Let w be m(-13). Calculate the remainder when 4 + w/2 - -1 is divided by 26.
24
Let z = 145 - 246. Let u = z + 115. Calculate the remainder when 81 is divided by u.
11
Suppose 0 = -6*x + 34 - 4. Let d(r) = r**2 + 2*r - 2. Suppose -5*p + 2*p - 6 = 3*l, 2*p + 10 = 0. What is the remainder when d(l) is divided by x?
3
Suppose -5*g - 795 = -5*v, v + 12 = -3*g + 163. What is the remainder when v is divided by 23?
19
Suppose -j - 67 = 2*j + 2*f, -j - 5 = 5*f. Suppose 3*g - 55 = 50. Let y = j + g. Calculate the remainder when 38 is divided by y.
8
Let t(x) = x**2 + 6*x - 1. Let w be t(-6). Let n = 2 - w. Let v = -69 + 79. What is the remainder when v is divided by n?
1
Suppose 0 = -4*y + 2*y + 50. Let x be 2/(-5) - (828/10)/3. Let f = x + 37. Calculate the remainder when y is divided by f.
7
Suppose 4*g + 13 = 5*g. Suppose 3*y - 1200 = -g*y. What is the remainder when y is divided by 13?
10
Suppose -2*v + 70 = 3*v. Calculate the remainder when v is divided by ((-17)/85)/(4/(-140)).
0
Let p be (-288)/(-21) + 4/14. Suppose -31*x = -30*x - p. Calculate the remainder when 54 is divided by x.
12
Let q = 43 - 30. Suppose 0 = -3*p + 3, 3*p - 207 = -4*d + 96. Calculate the remainder when d is divided by q.
10
Let i be (-6 + 0)*(-2)/12. Let j(u) = 98*u**3 - 2*u**2 + u. Let n be j(i). Let o = n - 64. Calculate the remainder when o is divided by 17.
16
Let x = 2 - -1. Let m(t) = -t**3 + 6*t**2 - 2*t + 2. Let c = 89 + -77. What is the remainder when m(x) is divided by c?
11
Suppose 0 = 4*j - 20 + 8. Suppose 0 = 4*x + x + 2*w - 121, 3*x = -w + 73. Let c = 28 - x. What is the remainder when c is divided by j?
0
What is the remainder when (-8)/(-24) + (-1725)/(-9) is divided by 55?
27
Let x(t) = 7*t**2 + 12*t + 11. What is the remainder when x(-5) is divided by 37?
15
Let j be (1 - -36) + 3 + -1. Suppose 7 = -2*t + j. Calculate the remainder when 30 is divided by t.
14
Suppose 8*d - 86 + 70 = 0. Calculate the remainder when 5 is divided by d.
1
Suppose -72 = -t - 34. Suppose 0 = -4*g + 3*d + 43, d = -g - 3*g + 55. Calculate the remainder when t is divided by g.
12
Suppose 0 = -s + 1 - 2. What is the remainder when 1*2 - (0 + -3) is divided by s*(0 - 8)/4?
1
Let u = 1224 - 619. Calculate the remainder when u is divided by 21.
17
Let c(h) = -h**2 - 10*h - 2. What is the remainder when c(-7) is divided by (43 - 57)*(-2*1)/4?
5
Calculate the remainder when 137 is divided by (12/18)/((-2)/(-69)).
22
Let u be (18/(-15))/(1 + (-6)/5). Suppose 0 = -p - u*p + 406. What is the remainder when p is divided by 17?
7
Let f(u) = 3*u**2 - 10*u - 3. Calculate the remainder when (-2)/(-7) - (-8940)/70 is divided by f(5).
18
Suppose -10*b + 9*b = -17. Calculate the remainder when 32 is divided by b.
15
Let w be -2 + 3 + 1 + -4. Let t = -145 - -173. What is the remainder when t is divided by 5 + 5 + 0/w?
8
Let i = -2 + 12. Suppose 5*q + i = 30. Suppose 3*k + 55 = 2*m - 0*m, q*m - k = 85. Calculate the remainder when 79 is divided by m.
19
Let o = -1929 - -1946. Calculate the remainder when 47 is divided by o.
13
Let s(p) = -p**2 + 19*p - 46. Calculate the remainder when 350 is divided by s(6).
30
Suppose -3*h - 3*d + 25 = 2*h, 15 = 3*d. Let v(t) = 8*t**3 + 1. What is the remainder when v(h) is divided by 17?
14
What is the remainder when 1/((-1)/2) + 47 is divided by 24 - (0 + 2 - (-13 - -9))?
9
Suppose -v = v - 62. Let p = v + -18. Calculate the remainder when p is divided by 4.
1
Let q(w) = 7*w**2 - 2*w - 3. Let l be q(3). Let x = l - 26. Let a = 37 - x. What is the remainder when 35 is divided by a?
8
Let c be 4 - ((-3 - (4 + -7)) + 2). Calculate the remainder when 11 is divided by ((-3)/(-2))/(1/c).
2
Let f = -17 + 22. Suppose 3*g + 2 = 8. Suppose -f*x + q = -224, 183 = g*x + 2*x + 3*q. Calculate the remainder when x is divided by 16.
13
Suppose -6*o + 10*o = -3*t + 647, 0 = -5*t + 5*o + 1125. What is the remainder when t is divided by 32?
29
Calculate the remainder when (3 + -7 - -5) + 1 + 293 is divided by 107.
81
Suppose -3*z = -15*r + 16224, -21*z + 24*z = 4*r - 4322. What is the remainder when r is divided by 31?
28
Let i(t) = -t**3 + 13*t**2 + 12*t + 20. Let u(c) = -4*c**3 + 52*c**2 + 47*c + 81. Let b(n) = 9*i(n) - 2*u(n). What is the remainder when b(14) is divided by 7?
4
Let q be (-11)/(-22)*2*-2. Let w be 13210/30 - q/(-6). Calculate the remainder when (26/65)/(2/w) is divided by 15.
13
Let u(t) = -5*t. Let v(a) = -a**2 - 5*a. Let s(x) = 3*u(x) - 2*v(x). What is the remainder when s(6) is divided by 22?
20
Let n be 6/15 - 32/(-20). Let o(a) = -4*a**2 - 3*a + 1. Let x be o(n). Let h = x + 29. What is the remainder when 13 is divided by h?
5
Let f(i) = i**2 + 4*i. Calculate the remainder when 61 + (1/(-7) - 104/56) is divided by f(-6).
11
Suppose 0 = -s - 5*s - 174. Let m = s - -18. Let v(z) = z**2 + 12*z + 13. Calculate the remainder when 7 is divided by v(m).
1
Let z(b) = -33*b + 785. Suppose -2*q + 60 = -2*s, -q = s - 3*s - 28. What is the remainder when z(21) is divided by q?
28
What is the remainder when 109 + (-5)/((-30)/12) is divided by 64?
47
Let y = -120 + 201. Let b = y - 47. Calculate the remainder when b is divided by 9.
7
Suppose -204 = -3*i - 36. Suppose 3*j - 10*j = -i. What is the remainder when 95 is divided by j?
7
Let k(x) = -5*x + 279. What is the remainder when 25 is divided by k(54)?
7
Let u(l) = -l**3 - 33*l**2 - l + 432. What is the remainder when u(0) is divided by 47?
9
Suppose -2*m + 156 = 10*m. Suppose 3*c + 20 = 2*x - 3, 2*x = 2. Let z = c - -11. What is the remainder when m is divided by z?
1
Let g = 17 - 8. Let c = 145 - 140. What is the remainder when g is divided by c?
4
Let w(a) = a**3 - 6*a**2 - 5*a - 2. Let r be w(7). Let t(l) = 11*l - 34. What is the remainder when t(r) is divided by 20?
18
Let f = 872 + -787. Calculate the remainder when f is divided by 2.
1
Let b(c) = 14*c + 7. Suppose -6 = -2*k - 5*q - 3, -4*q - 8 = -k. Calculate the remainder when b(k) is divided by 16.
15
Suppose -44 = -2*o + 4*t, 4*o - 2*t = -3*t + 88. Let a = 1 - -4. Suppose 0 = -2*u + a*u - 255. What is the remainder when u is divided by o?
19
Let q = 38 - 69. Let s = -19 - q. Calculate the remainder when 35 is divided by s.
11
Suppose 0 = -2*u - r - 3*r, -2 = -2*r. Suppose -4*y = 3*z - 0*y - 73, -4 = -4*y. Calculate the remainder when 60/(-8)*24/u is divided by z.
21
Suppose -3*y + 111 = 5*s - 30, -4*y - 12 = 0. Suppose -2*v + 4*v = -8. What is the remainder when 3/v*(2 - 118) is divided by s?
27
Let d = -141 + 159. What is the remainder when 104 is divided by d?
14
Let s(z) = 3*z**2 + 14*z - 26. What is the remainder when 54 is divided by s(-7)?
8
Suppose 96*v - 104*v = -1032. What is the remainder when v is divided by 22?
19
Suppose -3*a = 3*q - 243, 6*q - 279 = 2*q + 5*a. What is the remainder when q is divided by 43?
33
Let l(o) = 7*o**2 - 212*o + 29. What is the remainder when l(31) is divided by 63?
58
Suppose -567 = -12*l - 15*l. What is the remainder when 503 is divided by l?
20
Let r = 1 - -3. Suppose r*t + 0*t = 2*s + 190, -104 = -2*t + 4*s. Suppose 2*p - 27 = -3*k, k - 7 + 30 = 2*p. What is the remainder when t is divided by p?
10
Let n = -611 + 665. Calculate the remainder when n is divided by 37.
17
Let t(v) be the second derivative of -v**5/20 - 5*v**4/6 - 5*v**3/3 + v**2 - 5*v. What is the remainder when t(-9) is divided by 3?
2
Suppose 0 = -w - 5*b + 7, -3*w + 3*b + 5 = -34. Calculate the remainder when 33 is divided by w.
9
Suppose 0*n - n - 22 = 