
21
Let n = -64 + 80. Suppose 3 + 6 = h. Let y = -6 + h. Calculate the remainder when n is divided by y.
1
Suppose -3*m - 3*c + 858 = 0, -4*m - 44 + 1206 = -5*c. Let b = 136 - m. Let d = -123 - b. Calculate the remainder when d is divided by 10.
9
Let y(g) = 10*g**2 - 3*g + 3. Suppose -2*c = -u - 209, 3*c + 66*u - 64*u - 296 = 0. Calculate the remainder when c is divided by y(2).
28
What is the remainder when (75/2)/((-62)/(-1364)) is divided by 409?
7
What is the remainder when 3886 is divided by 139*(7/(-7 + 0) - -2)?
133
Let i(p) = -p**2 - 6*p. Let q be i(-5). Let r(t) = t**2 - t - 3. What is the remainder when r(q) is divided by (-39)/(819/(-357)) - (-21)/(-3)?
7
Let h(g) = g**3 + g**2 + 6. Let k be h(0). Calculate the remainder when (((-12)/(-5))/(-12))/((-1)/485) is divided by k/(-27) - (-598)/18.
31
Suppose -4*w = 2*z - 3*z - 16, 0 = 2*w - 8. Suppose -5*j + 91 = 4*y, z = -2*j + 3*j - 4*y - 23. Calculate the remainder when 73 is divided by j.
16
Suppose -4*v + 2*r = -564, -40*v + 45*v = 4*r + 708. Calculate the remainder when 2936 is divided by v.
136
Suppose -5*q - 4*a + 145 = -7*a, -q + 1 = 5*a. Calculate the remainder when 1842 is divided by q.
22
Let a be 2/(-14) - (7 - (-1550)/(-70)). Suppose 0 = -10*d + a*d - 2295. What is the remainder when d is divided by 42?
39
Let q = -275 + 257. What is the remainder when (24 + q)*(-40)/(-6) is divided by 6?
4
Suppose 33*g - 8*g - 504 - 1971 = 0. Calculate the remainder when 817 is divided by g.
25
Let j be ((-188)/(-141))/(4/(-306)). Calculate the remainder when 49 - (-2)/2 - (-306)/j is divided by 16.
15
Let j(t) = -t + 14. Let d = 4 - 4. Suppose 0 = 4*q + 24, -33*a = 3*q + 237 - 3420. Calculate the remainder when a is divided by j(d).
13
Suppose -k + 1647 - 457 = -5*p, -p = k + 232. Let o = -117 - p. Suppose -6*z + z - x = -294, x = -2*z + o. Calculate the remainder when 172 is divided by z.
56
Suppose 0 = 70*h - 16*h + 6*h - 5760. Calculate the remainder when h is divided by 33.
30
Let j = 604 - 590. Let r(f) = -8*f**2 + 114*f - 2. Calculate the remainder when 258 is divided by r(j).
24
Suppose 4*y = 5*a - 62, -5*a = -8*a - 5*y + 89. What is the remainder when 1633 is divided by a?
13
Let y = -232 + 390. What is the remainder when 1412 is divided by y?
148
Let r = 3739 - 1627. Let k = r + -2087. What is the remainder when 4/14 + 2432/14 is divided by k?
24
Suppose -2*w = 4*k - 0*k + 32, -3*k = 5*w + 10. What is the remainder when 53 is divided by (-2)/k*1 - 270/(-25)?
9
Suppose -44*p = -10*p - 1938. Suppose -p*t + 280 = -29*t. Let z = -19 - -35. Calculate the remainder when z is divided by t.
6
Suppose -438*i - 35509 = -119876 - 42653. What is the remainder when 1179 is divided by i?
19
Let l(u) = u**2 + 7*u - 17. Let i be l(-11). Suppose -25*j = -22*j - i. Calculate the remainder when 206 is divided by (-9870)/(-189) + (-2)/j.
50
Suppose -2*v - 4*b = -8*b - 18, 5*b = v. Let w = -3487 - -3490. What is the remainder when v is divided by w?
0
Suppose l + 4*c = 403 - 41, c = 3*l - 1060. What is the remainder when l is divided by 12?
6
Calculate the remainder when 247 is divided by ((-258)/172)/((6/124)/(-1)).
30
Let n(b) = b**2 + 2*b - 7. Let p be n(-5). Suppose 3*d = 0, 3*l - 2*d + 4 = -p. What is the remainder when (-5 - -83)*(-6)/l is divided by 24?
21
Calculate the remainder when (-12)/(-8)*2 - 6 - -712 is divided by 89.
86
Suppose -5*p - 360 = -5*h, -6*h + 150 = -4*h + 4*p. Let w = h + -67. Let j(r) = 5*r**2 - 25*r + 8. What is the remainder when j(w) is divided by 22?
16
Suppose 16*j - 82*j + 1176 = -738. What is the remainder when 1765 is divided by j?
25
Suppose -2*u + 12 + 20 = 0. Calculate the remainder when (u/6)/(3/45) is divided by (12 + 2717/(-228))*168.
12
Let c be (-3155)/6 + (1 - 14/12). Let y = c - -537. Calculate the remainder when y is divided by 1.
0
Calculate the remainder when (12/(-8))/((-120)/19280) is divided by 33.
10
Suppose -5*s + 4*k = -685, -107*k + 103*k + 512 = 4*s. Calculate the remainder when 397 is divided by s.
131
Let f(g) = 231*g + 663. Calculate the remainder when f(-2) is divided by 117.
84
Suppose c = -3*p + 1, -2 + 0 = 2*p. Suppose 2*s = c*y - s + 11, -2*y - 2*s = -12. Calculate the remainder when (4/16)/(4/16) is divided by y.
0
Suppose 0 = g + 14*x - 12*x - 105, g - 84 = 5*x. Let c = 107 + -86. What is the remainder when g is divided by c?
15
Suppose 3*h = 3*b - 2190, 4*b - 39*h + 42*h - 2948 = 0. What is the remainder when b is divided by 46?
44
Let j = -64 - -160. Let p be (-2 - -5)*j/9. Suppose -h + 117 = 4*o, -5*o + p = -2*h - 111. What is the remainder when o is divided by 11?
7
Let u(r) = -r**3 - 6*r**2 - 4*r. Let v be u(-6). Suppose -33 = 10*p - 33. Suppose p = 5*x - 6*x + v. Calculate the remainder when x is divided by 14.
10
Suppose 0 = 5*l - 15*o - 4405, -2*l + 15*o + 1786 = 13*o. Calculate the remainder when l is divided by 296.
11
Suppose -57*y - g + 318 = -52*y, -3*y + 180 = -3*g. Calculate the remainder when 314 is divided by y.
62
Let q = -108 + 113. Suppose 49 = 2*z - 3*c, -103 = -4*z + q*c - 4*c. What is the remainder when 124 is divided by z?
20
Let v = 12237 - 11299. What is the remainder when v is divided by 56?
42
Let m = -41 - -89. Let w = m - -98. What is the remainder when w is divided by 75?
71
Let q(g) = -2*g - 43. Let r be q(-23). Calculate the remainder when 13/((-1)/r*9/(-21)) is divided by 19.
15
Suppose -30 = -54*w + 59*w. Let o(g) = -16*g - 82. What is the remainder when 49 is divided by o(w)?
7
Suppose -y - 460 = -5*y. Suppose 102 + y = 7*t. Suppose z + 2*o = 18, 4*o = -3*z + t + 21. Calculate the remainder when z is divided by 9.
7
Let h(a) = -2*a**2 + 16*a + 5. Let q be h(9). Let n(g) = g**2 + 11*g - 18. What is the remainder when 656/22 - 0 - (-8)/44 is divided by n(q)?
6
Suppose -33*y - 44 = -44*y. Suppose y*d + 4*u = -u + 263, -u = -4*d + 293. Calculate the remainder when d is divided by 7.
2
Suppose -8*g + 7*g + 3*v + 17 = 0, -5*g + 199 = 4*v. What is the remainder when 141 is divided by g?
1
Let q = 183 + 500. Let m = q + -674. What is the remainder when 33 is divided by m?
6
Let s = -17851 - -18423. What is the remainder when 1153 is divided by s?
9
Let g(r) = r**3 - 4*r**2 + r - 1. Let i be g(4). Suppose -10*v - i*v = -676. What is the remainder when v is divided by 9?
7
Suppose 0 = 9*b - 42*b + 3762. Calculate the remainder when b is divided by 2*((-91)/14)/(-1).
10
Let t(v) = -v + 22. Let y be t(-4). Let o(x) = -4*x + y - 77 + 6. What is the remainder when 18 is divided by o(-13)?
4
Suppose 405*g - 507 = 366*g. What is the remainder when 4900 is divided by g?
12
Let p(t) = -t**2 + 2*t + 4. Let f be p(-4). Let a be (-1 + 2)/(2/f). What is the remainder when 24 is divided by (30/5)/((-6)/a)?
4
What is the remainder when 187 is divided by 4/(-24) - (-5445)/594?
7
Suppose 13356 = -12*a + 76*a - 49876. What is the remainder when a is divided by 48?
28
Let p(j) be the second derivative of -j**3/6 + 17*j**2 + 83*j. Calculate the remainder when p(-7) is divided by (44/10)/(2/10).
19
Let k = -1291 + 1300. What is the remainder when 93 is divided by k?
3
Let u = 5397 + -5289. Calculate the remainder when u is divided by 100.
8
Let a(g) = 3*g**2 - 2*g - 62. What is the remainder when a(-7) is divided by (-1)/(3*148/228 + -2)?
4
Let w = 1069 - 1045. Let n = 274 + 392. Calculate the remainder when n is divided by w.
18
Let i = -9 + 12. What is the remainder when 214/(i*4/6) is divided by 33 - -3*(3 - (4 + -2))?
35
Let g(i) = -2*i**3 + 12*i**2 + 5. Suppose 0 = -5*f + 2*f. Let z(t) = -t**3 - t**2 - 2*t + 3. Calculate the remainder when g(6) is divided by z(f).
2
Suppose -l + 1790 = 4*l - 4*v, -1426 = -4*l + 2*v. Suppose -318 = -12*n + l. What is the remainder when n is divided by 19?
18
Suppose -28531 = -38*h + 27458 + 21607. What is the remainder when h is divided by 93?
89
Let u(f) = 5*f + 128. Suppose -3*l = -6, -4*l = -3*y - 0*y + 313. Calculate the remainder when y is divided by u(-20).
23
Let j(t) = -42*t + 9. Let h be j(6). Let s = 262 + h. Calculate the remainder when 149 is divided by s.
16
Suppose -26 = 2*l - 38. Let q(c) = -c - 11. Let b be q(l). Let y = -9 - b. Calculate the remainder when 13 is divided by y.
5
Let k(n) = -n**3 + 9*n**2 + 6*n + 165. What is the remainder when 1497 is divided by k(10)?
1