t t = 41 - 41. Let f be u(t). Suppose -10*a + 390 = -f. Calculate the remainder when 97 is divided by a.
47
Let l(q) = q**2 + q. Let n = -55 + 51. Let a(w) = -3*w**2 + 5*w + 10. Let s(x) = n*l(x) - a(x). Calculate the remainder when 10 is divided by s(-7).
2
Suppose 0 = -4*a - 2*g + 178, -g = 5*a + 2*g - 224. Let o(u) = 0*u**2 + u**2 + 16 + 49*u - a*u. What is the remainder when 67 is divided by o(-7)?
21
Let t be (-9)/12 - (-57)/12. Suppose s - 25 = -t*s, -4*h = -5*s - 283. Let y(k) = -119*k + 254. Calculate the remainder when h is divided by y(2).
13
Let s(r) = -4*r**3 - 23*r**2 + 9*r + 33. Suppose v + v = -8. Let h(z) = -10*z + 3. What is the remainder when h(v) is divided by s(-6)?
13
Let p(z) = 98*z + 1227. Calculate the remainder when p(-5) is divided by 124.
117
Suppose 7088 = -11*b + 15*b + 2*s, -5*s = b - 1790. What is the remainder when b is divided by 77?
76
Let l(s) = 6*s**2 - 108. Calculate the remainder when 82 is divided by l(-5).
40
Suppose 1900 = 4*v + 156. Calculate the remainder when 69 is divided by (-4)/24 - v/(-24).
15
Let z = 222 + -200. Let j be (7/((-147)/30))/((-1)/7). Suppose -4*c = -4*r + 72 + 136, -5*c + j = 0. What is the remainder when r is divided by z?
10
Suppose 4*l - 35 - 209 = 0. Suppose -2*n = 1657 - 1719. Suppose -5*t + n = 3*r, -28*r - t = -23*r - 37. Calculate the remainder when l is divided by r.
5
Let b = -186 + 182. What is the remainder when 126 is divided by (b/(-10)*-2)/((-3)/15)?
2
Let j = 13828 - 13754. What is the remainder when 453 is divided by j?
9
Let j(v) = -108*v + 235. What is the remainder when 43 is divided by j(2)?
5
Suppose -9*t - 621 = -36*t. Calculate the remainder when 873 is divided by t.
22
Let b(k) = 13*k**2 + 703*k + 159. Calculate the remainder when b(-55) is divided by 15.
9
Let d be 5*((-2)/(-5) + (15 - 15)). Suppose 5*y - 2*a - 1902 + 657 = 0, 0 = -4*y + d*a + 998. Calculate the remainder when y is divided by 31.
30
Let a = -3476 - -3550. Suppose 0*q - 2*l = -q + 11, 3*l + 9 = -q. Suppose -q*w = -w - a. What is the remainder when 256 is divided by w?
34
What is the remainder when (8 + -13)*((-20)/4 + 6180/(-50)) is divided by 169?
136
Suppose p = d + 20, 167 - 93 = 4*p - 2*d. What is the remainder when 48 is divided by p?
14
Suppose -5*m + 6*k = 7*k - 34, 44 = 4*m + 5*k. Let l be ((-18)/6)/(m/14). Calculate the remainder when 18 is divided by l/3*(-8 + 5).
4
Let p = -39 + 39. Let u = -187 + 268. Calculate the remainder when u is divided by (-3 - (-12 - p)) + 3.
9
Let x(s) = 6*s**2 - 13*s + 9. Let v be x(10). Let w = v - 308. What is the remainder when w is divided by 20?
11
Suppose -8*g + 5091 + 3725 = 0. Calculate the remainder when g is divided by 178.
34
Let i(u) = 10*u**3 + u**2 - 12*u + 20. Let p be i(5). Suppose 5*k = -485 + p. Calculate the remainder when k is divided by 39.
33
Let g(v) = -6*v - 134. Let f be g(-25). What is the remainder when (-3)/12 - (-1476)/f is divided by 8?
4
Suppose -19*d - 2016 = -12*d - 43*d. What is the remainder when 2627 is divided by d?
51
Suppose 5*c = -3*p + 16428, 5*p - 6398 = -5*c + 10012. Calculate the remainder when c is divided by 67.
8
What is the remainder when (-30*10/2)/(10/(-16 - -6)) is divided by 98?
52
Suppose 240 = 3*p + 4*n + 96, -5*p = -2*n - 240. Suppose 26 = 32*o - 30*o - 2*s, o = -s + 5. What is the remainder when p is divided by o?
3
Let u = -12979 - -14929. Calculate the remainder when u is divided by 14.
4
Let q(f) = f**2 - 430*f - 2118. Calculate the remainder when 815 is divided by q(-5).
17
Calculate the remainder when 146 is divided by 16/10 + 446/1115.
0
Let c = -25567 - -26188. Calculate the remainder when c is divided by 107.
86
Let w be 1*(1 - -4) + 1. Suppose -3*b + 6*b - w = 0. Calculate the remainder when 18 is divided by b/(-7) + (-5)/(35/(-93)).
5
Let m(d) = 10*d + 3. Let w be m(2). Let b = 0 + w. Suppose -3 = -f + b. What is the remainder when f is divided by 7?
5
Let k(p) = 6*p**2 + 779*p + 682. Suppose -3*c + 362 = 2*l - 0*l, 0 = -3*c - 6. What is the remainder when l is divided by k(-129)?
36
Let j(y) = y**2 + 3*y + 10. Let p be j(-4). Let q = p + -6. Suppose 72 = -2*r + q*r. What is the remainder when 47 is divided by r?
11
Suppose n - 7 = -4*f, 7*n + f = 3*n + 43. Let z(j) = 7*j - 24 - 28 + n - 12. What is the remainder when 154 is divided by z(15)?
50
Let w be -1*(-55 - (-4)/2). Suppose 0*t = t - 4*m - 41, 3*t - w = -2*m. Calculate the remainder when t is divided by (4095/(-156) + (17 - -7))/(6/(-32)).
9
Let v(m) = 16*m - 393. What is the remainder when 149 is divided by v(33)?
14
What is the remainder when 122 is divided by ((-24)/(-10))/((-820)/(-3075))?
5
Let v = -109 + 112. Suppose 2*b = 3*b - 2*y - 43, 2*y + 121 = v*b. Let x(d) = -19*d**3 + d + 2. What is the remainder when x(-2) is divided by b?
35
Let h(n) = 44*n - 945. What is the remainder when h(33) is divided by 64?
59
Let y(k) = k**3 + 21*k**2 - 8*k + 383. What is the remainder when 647 is divided by y(-22)?
47
What is the remainder when (15/(-3) - -1 - -2)/(704/(-196064)) is divided by 309?
248
Suppose -3*d - 5*t + 3*t = -6, d - 3*t - 2 = 0. Suppose -78 = -5*u + d. Calculate the remainder when (-5*8)/(-2)*99/44 is divided by u.
13
Let c be (-1555)/(-10)*4/2 + 0. Suppose -c = -5*q - 96. Calculate the remainder when 106 is divided by q.
20
Let v(x) = 2*x + 15. What is the remainder when v(8) is divided by (-208)/32*120/(-130)?
1
Let q(v) = 149*v + 947. What is the remainder when 86 is divided by q(-6)?
33
Calculate the remainder when 1382 is divided by (-11520)/(-55) - 2 - (1710/209)/(-15).
134
Let d be (-192)/(-28) - 8/(-56). Suppose 8 + 6 = d*n. Calculate the remainder when 15 is divided by n.
1
Let k(u) = -u**2 + 33*u + 7. Let a be k(20). Suppose 3*m - a = 3*c, 43 - 197 = -2*m - 4*c. What is the remainder when m is divided by 31?
23
Suppose 6*t = 9*t + 8*t - 418. Calculate the remainder when t is divided by 21.
17
Let a(p) = -p**3 + 12*p**2 - 10*p - 11. Let s be a(11). Suppose -3*g - 35 + 3 = -2*v, s = -3*v + 2*g + 38. What is the remainder when 36 is divided by v?
6
Let x = -200 - -205. Suppose 3*h - 5*j - 23 - 6 = 0, x*h = -4*j + 110. Suppose 5*v = 25, -5*q + 2*v = -63 - 147. What is the remainder when q is divided by h?
8
Let j be 1/((10/(-35))/(8/(-14))). Suppose -4*g = -i - 32, 15 + 7 = j*g + i. Calculate the remainder when 150 is divided by g.
6
Suppose 11 = 2*u - 19. Let i be 7 - 132/18 - (-156)/9. Suppose p + c - 43 = 0, -i*p + 2*c = -21*p + 166. What is the remainder when p is divided by u?
10
Let c = 4 + 4. Let o(s) = -14*s + 82. Let z be o(5). Suppose 100 = 8*w - z. What is the remainder when w is divided by c?
6
Suppose 2*z = -c + 52, 0 = 12*c - 9*c + z - 136. Suppose -c*g + 42*g = -182. Calculate the remainder when g is divided by 16.
11
Let o(z) = -22*z + 17 - 6 - z**2 + 27*z. Let k be o(-4). Let f = k + 106. Calculate the remainder when f is divided by 28.
25
Suppose -4*g = g - 75. Calculate the remainder when (53/6)/((-1)/(-10)) + (-22)/(-33) is divided by g.
14
Let w(k) be the second derivative of -k**4/6 - 14*k**3/3 - 11*k**2 - 18*k. Let a be w(-12). Suppose a = b - 6. Calculate the remainder when b is divided by 9.
5
Suppose -68*s + 65*s = -195. Let z be (6/4)/(3/12). Suppose d - z*d + 3*j + 120 = 0, -3*d + 72 = 3*j. Calculate the remainder when s is divided by d.
17
Suppose 2*d - 4800 - 1278 = 0. What is the remainder when d is divided by 19?
18
Suppose -a = 15*a - 80. Suppose -10 = -2*w - z, -8 = -2*z - 2*z. Let p = w - -9. Calculate the remainder when p is divided by a.
3
Let l(p) = 5*p + 20. Let k be l(-4). Suppose 3*w = -2*j - 2*w + 85, -5*j - w + 155 = k. What is the remainder when 158 is divided by 6*(0 - 0 - j/(-9))?
18
Suppose 73 = 5*l - 4*a, -3*l - 4*a + 5 + 26 = 0. Suppose 0*q - 299 = -l*q. Calculate the remainder when 66 is divided by q.
20
Let y = 24336 + -24132. What is the remainder when 354 is divided by y?
150
Let h = 136 - 127. Suppose -24 = -i - h. Let b(r) = 3*r**2 + r. Calculate the remainder when b(-6) is divided by i.
12
Let o(z) = 5*z**2 - 14*z + 6. Suppose -6 = -17*a + 14*a - 3*s, -4*s - 19 = -5*a. Calculate the remainder when 24 is divided by o(a).
6
Suppose 11*t - 25*t = 2408. Let j = 185 + t. Calculate the remainder when 23 is divided by j.
10
Let r = -22 + 39. Let d be 4 + (4/(-