
Suppose x + 4*x - 200 = 0. Suppose 0 = -h - p - 37 + 54, -3*p - 68 = -4*h. Suppose -35*b - h*b + 1300 = 0. What is the remainder when x is divided by b?
15
Let k(h) = 2*h**2 - 3*h + 4. Let q = 49 - 17. Suppose z + 5 = 6*z, -5*z = 3*v - q. What is the remainder when k(4) is divided by v?
6
Let d(f) = -147*f - 281. Calculate the remainder when d(-3) is divided by 86.
74
Let b = -34891 - -34931. Let d = 266 + 53. Calculate the remainder when d is divided by b.
39
Suppose -4 = 2*c - 0*c. Let k be ((-129)/(-9))/(c/(-6)). Suppose 0 = p - 2 - k. Calculate the remainder when 133 is divided by p.
43
Suppose 4*j - 3*j = 4. Suppose -3*a - 61 = -j*a. Suppose 3*t - 46*o = -49*o + 159, 2*t - 4*o = -20. Calculate the remainder when a is divided by t.
29
Let z(s) = 71*s**2 - 251*s + 509. Calculate the remainder when z(2) is divided by 7.
4
Suppose 0 = 2*r - 14*r + 1884. Suppose 0*n + h + 20 = n, -4*n + 80 = 3*h. Calculate the remainder when r is divided by n.
17
Let l = -19355 - -19946. What is the remainder when 1189 is divided by l?
7
Let k(l) = l**3 + l + 1. Let g be k(0). Calculate the remainder when 70 is divided by 16/40*65/g.
18
Let w be (-4204)/(-44) - (-3 - 156/(-44)). Suppose 92 = -2*m - o - 3*o, 87 = -2*m - 5*o. Let s = w + m. Calculate the remainder when 77 is divided by s.
38
Let c be 3*(-10)/15 + 3 + 3. Suppose 5*p = 4*p - 2*o - 2, -c*p + 4*o = -28. Calculate the remainder when 33 is divided by p.
1
Suppose 4*o - 44 = 4*b, -2*o + 17 = -o + 5*b. Suppose o*i - 286 = 170. Let f = 22 - 12. Calculate the remainder when i is divided by f.
8
Let m = -15633 + 16903. Calculate the remainder when m is divided by 328.
286
Suppose 0 = -4*h - 0*h - 636. Let g = 357 + h. Suppose 0 = 4*q - g - 6. What is the remainder when q is divided by 27?
24
Let r = -7362 + 7502. What is the remainder when 690 is divided by r?
130
Suppose 2*u - u + 177 = 5*c, -c + u = -33. Suppose 33*o - c*o = -564. What is the remainder when o is divided by 38?
36
Let b(a) = 125*a - 161. What is the remainder when b(4) is divided by 43?
38
What is the remainder when 14456/30 + 29 + -26 - (-2)/15 is divided by 99?
89
Suppose -4*l = 5*p - 1203, -14*l = -9*l - p - 1511. Calculate the remainder when 4226 is divided by l.
300
Let z = -20 + 25. Suppose 0 = -32*c + 35*c - 2*w - 117, z*c - 195 = -3*w. Calculate the remainder when 153 is divided by c.
36
Suppose -8*s = -3*s - 2*k - 15643, 4*s + 3*k = 12496. What is the remainder when s is divided by 92?
91
Let j(i) be the first derivative of -29*i**2 - 3*i - 14. Let h be j(-2). Let m = h - 91. Calculate the remainder when 107 is divided by m.
19
Let g = -510 + 808. Suppose 2*r = -108 + g. Calculate the remainder when r is divided by 9.
5
Suppose 13*t + 44 - 1955 - 988 = 0. Calculate the remainder when t is divided by 186.
37
Let w be (-2)/(-4) - 66/(-44). Let i be 6394/69*3/w. Let v = -104 + i. Calculate the remainder when 138 is divided by v.
33
Let y(c) = -c**3 + 18*c**2 - 20*c + 23. Let h be y(16). Let z = h + -154. Let p = 39 - 30. Calculate the remainder when z is divided by p.
7
Let p(c) = 5*c**3 - 5*c**2 - 3*c - 8. Calculate the remainder when 438 is divided by p(3).
0
Let c(z) = 34*z - 40. Let f be c(5). Let w = 186 - f. Suppose 179 - w = 3*q. What is the remainder when 120 is divided by q?
38
Suppose -j + 4 = 2. Suppose 4*r = b + 213, j*r - 6*r - 2*b = -222. What is the remainder when r is divided by 11?
10
Let v = -278 + 289. Suppose -2*j - 8 = 4*s - 0, -j = 0. What is the remainder when ((-174)/15)/(s/5) is divided by v?
7
Suppose -2*y + 185 = -483*d + 484*d, 0 = -6*d - 4*y + 1086. What is the remainder when 835 is divided by d?
119
Let c be (-10)/(-15) + (-34)/(-3). What is the remainder when ((-64)/c)/(6/(-9)) is divided by -210 - -208 - 3*-3?
1
Suppose 22*z - 23*z + 16 = 0. Suppose 4*c + 20 = 2*g, 3*g - 5*c - 26 = -0*c. What is the remainder when z is divided by g?
0
Suppose 29*j - 27*j - 566 = -a, -a + 4*j = -590. Suppose t - 659 = -543. Calculate the remainder when a is divided by t.
110
Suppose 144 = 4*v - 2*v. Suppose 90*g - 8*g = 19*g + 17703. What is the remainder when g is divided by v?
65
Let k(l) = 37*l + 278. Calculate the remainder when k(43) is divided by 18.
15
Suppose 3*r + 5 = 4*r. Suppose n = -x + 57, r*n - 52 = -3*x + 129. Calculate the remainder when x is divided by (10/4)/((-285)/(-3534)).
21
Let y be ((-3)/18*-50)/((-4)/36). Let a = -69 - y. Let w(j) = j**3 - 3*j**2 - 15*j + 7. What is the remainder when 149 is divided by w(a)?
24
Suppose 4*n - 19*n = -15555. What is the remainder when n is divided by 214?
181
Let u = -7102 - -9057. Calculate the remainder when u is divided by 49.
44
Let s = 16876 + -16410. What is the remainder when s is divided by 234?
232
Suppose 4553*o - 4544*o - 441 = 0. Calculate the remainder when 810 is divided by o.
26
Suppose 102 = 6*y - 3*y - 3*h, 116 = 4*y + h. Calculate the remainder when 18*5/6*28/14 is divided by y.
0
Suppose 19*b = -373 + 88. Calculate the remainder when 15795/105 - b/(-35) is divided by 39.
33
Suppose -30*h + 28 = -23*h. Suppose d - 5*n - 83 + 12 = 0, 5*n + 344 = h*d. Suppose d*r - 49 = 84*r. Calculate the remainder when 76 is divided by r.
6
Let x(v) = -35*v + 11181. What is the remainder when x(-84) is divided by 132?
129
Suppose 107*j - 162 = 98*j. Suppose -2*c + 240 = 36. Calculate the remainder when c is divided by j.
12
Let j be -1*3*28/(-21). Suppose -d + 77 = -4*s, -165 = -j*d - 5*s + 59. Suppose 4*i - d - 39 = 0. What is the remainder when i is divided by 10?
5
Let d = 288 + -285. Suppose -a - 11 = -4*y, 4*y = 5*a - d*a + 10. Calculate the remainder when 1 is divided by a.
0
Suppose q = -0*p - 2*p + 1, 2 = q + 3*p. Calculate the remainder when 56 is divided by (0 + 1)/((11/(-253))/q).
10
Let s(r) = -612*r + 5568. Calculate the remainder when s(9) is divided by 1.
0
Suppose -175*o = 2*p - 170*o - 30, -3*p = 3*o - 45. Suppose 2*u + 12 = 6*u. Let i = p + u. What is the remainder when i is divided by 4?
2
Let f(c) = 3*c**2 - 43*c - 373. What is the remainder when 12334 is divided by f(-9)?
255
Let b(i) = -i**2 + 32*i - 152. What is the remainder when 106 is divided by b(17)?
3
Let t(f) = f**2 - 12*f - 39. Let g(s) = -s**3 + 2*s**2 - 3*s. Let a be g(2). Let b = a - -15. Calculate the remainder when b is divided by t(15).
3
Let k(h) = -106*h + 10. Let o be k(-4). Let u be o + 8*2/4. Suppose -4*p + u = 2*p. Calculate the remainder when p is divided by 20.
13
Suppose 5*n - 13*n = -176. Suppose 2*k + 3 = 1. Calculate the remainder when 42*k/(-1)*1 is divided by n.
20
Let k(c) = -c**2 - 9*c + 1. What is the remainder when (3/(-12) - 54/72)/(2/(-118)) is divided by k(-8)?
5
Let v(c) = c**3 + 3*c**2 - 6*c - 2. Let n be v(-4). Suppose 9 + n = 5*o. Let w(g) = 2*g**2 + 709*g + 7562. Calculate the remainder when w(-11) is divided by o.
2
Let d(q) = q**3 + 20*q**2 + q + 61. Let y(s) = s**3 + 3*s**2 - 4*s + 4. Calculate the remainder when d(-20) is divided by y(-4).
1
Suppose 2*n - 540 = -2*l, 2*l - 526 = n + 14. What is the remainder when 718/8 + 12/(-16) is divided by (6/9)/(12/l)?
14
Suppose 5*k + 406 = 9*k + f, 0 = -3*k + 4*f + 295. What is the remainder when k is divided by 44?
13
Let w(p) = 2*p**2 + 92*p - 312. Calculate the remainder when w(-64) is divided by 38.
16
Let a(x) = x**2 - 31*x + 225. Calculate the remainder when a(24) is divided by 26.
5
Suppose -180838 + 48243 = -115*i. Calculate the remainder when i is divided by 105.
103
Let k(r) = 269*r + 1188. What is the remainder when 320 is divided by k(-4)?
96
Let y(u) = -6*u**2 - 47*u + 12. Suppose -2*v + 3*n = 5*n - 84, -n = -3*v + 146. Calculate the remainder when v is divided by y(-8).
3
Suppose -108 = 7*m - 4*m. Let c = m + 50. What is the remainder when c is divided by 13/(26/12) + -3?
2
Let k(w) = 2*w - 23 + 5*w - 5*w. Let z be k(10). Calculate the remainder when 49 is divided by (-204)/(-8 - -4)*(-1)/z.
15
Suppose 3*u - a - 3 = 0, 5*u + 4*a - 1 = 21. Suppose 7*t - s = u*t + 1743, t - 2*s = 345. What is the remainder when t is divided by 50?
49
Let p be (-3)/(-9)*-3 + (-1 - -6). Suppose -19 = -2*r - 5*j + 14, -p*r + 54 = -2*j. Calculate the remainder when 124 is divided by r.
12
Let p be -165*((-12)/(-20))/((-1)/(-2)). Let u = p + 222. Calculate the remainder when u is divided by 20.
4
Suppose 24962