Let o be a*1*(-1)/(-4). Suppose -d - 2*d - 18 = -2*p, -5*p + 45 = o*d. Calculate the remainder when 32 is divided by p.
5
Suppose 2174 = -2*w + 1276 + 1160. What is the remainder when 493 is divided by w?
100
Let j(q) = q**3 + 16*q**2 + 8*q + 4. Let k = -4 + 24. What is the remainder when j(-15) is divided by k?
9
Suppose 0 = 7*a - 2*a - 135. Let m(c) = -50*c**3 - 20*c + c**2 + 3 + 9*c + 14*c. What is the remainder when m(-1) is divided by a?
24
Let y = -119 + 121. Suppose -2 = q - y*q. What is the remainder when q is divided by 2?
0
Let i = -6080 - -6404. What is the remainder when i is divided by 221?
103
Let p = -14 - -24. Suppose b + 12 = -2*u - 3*b, -u + 12 = -4*b. Suppose -3*q - 64 = -3*t + t, u = t - 2*q - 30. What is the remainder when t is divided by p?
8
Suppose -4*f - 2*c + 6*c = -76, 4*f + 4*c = 76. Let x be -1*(2 - -4) - 4. Calculate the remainder when x/(1 - (-12)/(-11)) is divided by f.
15
Suppose 788 = 4*p - 0*t - 4*t, 5*p - 988 = 4*t. Let z = -153 + p. Calculate the remainder when 271 is divided by z.
36
Let w(l) = -3*l**3 - 21*l**2 + 8*l + 4. Let f be w(-7). Let v = -131 - f. Let r = v - -90. Calculate the remainder when 16 is divided by r.
5
Let n(t) = -t**2 - 3*t + 8. Let o be n(-8). Let d = o - -53. Suppose -90*k + 126*k = 504. What is the remainder when d is divided by k?
7
Suppose -3*c - 4*z = -c - 738, c - 359 = 3*z. Suppose 0 = -366*j + c*j + 28. Calculate the remainder when j is divided by 16.
12
Let s be 33 - (0/(-1))/8. Suppose 3*i - 20 = t - 106, -4*t + 305 = i. Calculate the remainder when t is divided by 4579/209 - (-3)/s.
11
Suppose -5*x - 2*y = -10*x + 580, -15 = -3*y. Let u = -26323 - -26356. What is the remainder when x is divided by u?
19
Suppose 4*x = 4*t + 48, -3*t - 65 - 1 = -5*x. Suppose x*v = 369 + 231. Calculate the remainder when v is divided by 11.
7
Let h(x) = -24*x**3 - x**2 - x - 1. Let f be h(-1). Suppose -f*j = -20*j - 432. What is the remainder when j is divided by 51?
42
Let i(s) = -9*s - 6. Let v(b) = -29*b + 5877. Calculate the remainder when i(-6) is divided by v(202).
10
Let w(l) = -47 - 91*l - 14 + 46*l + 83*l. Calculate the remainder when w(10) is divided by 23.
20
Suppose -5421 - 5523 = -j - 5*j. What is the remainder when j is divided by 108?
96
Let f = 63 - 59. Suppose -2*c + f*k + 38 = 0, 66 = 4*c - 4*k - 18. Let v = 40 - 28. Calculate the remainder when c is divided by v.
11
Let a(x) = -11*x + 40. Let v be a(-19). Suppose 9 - v = -3*n. Let m = -45 + n. What is the remainder when m is divided by 13?
9
Let o = 16194 - 16154. Calculate the remainder when 20356 is divided by o.
36
Let a = 54 + -50. Suppose -a*l = 34 - 54. What is the remainder when 50/(-2)*l/(3 + -8) is divided by 7?
4
Let w = -86 + 88. Suppose 4*b - 219 = -5*m, -82 - 131 = -5*m + w*b. What is the remainder when m is divided by 70/5 + (1 - -1)?
11
Suppose -t + 1676*z - 1680*z = -15, 4*t - 2*z = 96. What is the remainder when 602 is divided by t?
4
Suppose -1078 = -4*m - 2*r, -4*m - 3*r + 759 + 316 = 0. Let y = 296 - m. Calculate the remainder when 83 is divided by y.
8
Let c be (10/(-3))/((-6)/18). Suppose -2*y + 7*u + 30 = 11*u, 0 = 2*u - c. Calculate the remainder when 33 is divided by y.
3
Suppose a - 114*d = -118*d + 28976, 3*d + 12 = 0. What is the remainder when a is divided by 109?
107
Let g = 48 + -48. Suppose 4*k - 5*d - 21 = 0, k + g*k + 3*d = 1. Suppose -k*u + 176 + 30 = 5*c, c + 5*u - 37 = 0. What is the remainder when c is divided by 12?
6
Suppose 0 = -v + 5*i + 3 + 12, -5*v - 4*i = 12. Suppose v = 4*o + o - 55. Let k = -41401 - -41408. What is the remainder when o is divided by k?
4
Suppose -20*f + 79*f = 14160. What is the remainder when f is divided by 27?
24
Suppose -2*r + 92 = 2*r. Suppose 3*v + 5*s = 633, -2*v + 5*s - 2*s = -403. Let c = 295 - v. Calculate the remainder when c is divided by r.
20
Let f(u) = u**3 + 9*u**2 + 7*u + 2. Let g be f(-8). Let k = g - -1. Let j(h) = 7*h**2. Calculate the remainder when j(-3) is divided by k.
8
Let i = -80 + 54. Let v = i + 53. Calculate the remainder when v is divided by 6.
3
Let l = -42 + 46. Suppose n - 3*n + l*f - 130 = 0, -4*n = 3*f + 227. Let c = 85 + n. Calculate the remainder when 76 is divided by c.
24
Let b(w) = -6*w**2 + 185*w - 13. What is the remainder when b(4) is divided by 311?
9
Suppose -31 - 38 = -3*u. Suppose -365 = -2*r - 3*o, -3*r + o = -273 - 269. Calculate the remainder when r is divided by u.
20
Suppose 20 = 11*u - 7*u. Suppose -u*x = -506 - 9. Suppose 0 = -5*b + 5*t - 0*t + 75, -42 = -4*b - 5*t. What is the remainder when x is divided by b?
12
Let r = 147 + -53. Suppose -188363*o + 1504 = -188316*o. Calculate the remainder when r is divided by o.
30
Suppose 0 = -h + 50 + 104. Let x(q) = -2*q**3 + 32*q**2 + 92*q - 1751. What is the remainder when h is divided by x(15)?
75
Suppose 0 = 3*o - 3. Let i = 0 + o. What is the remainder when i is divided by (4 - 378/91) + (-15)/(-13)?
0
Suppose 100*k + 80*k = 100*k + 79760. Calculate the remainder when k is divided by 172.
137
Let u = 131 + 7. Calculate the remainder when u is divided by (-1389 + 1345)*(-5)/11.
18
Suppose 1909 = 25*v - 2616. Suppose v = 6*n - 233. What is the remainder when n is divided by 24?
21
Suppose -2*b = 7*s - 1474, 2*s + 102*b - 107*b - 449 = 0. What is the remainder when 574 is divided by s?
150
Let i(u) = 189*u - 49. Let m be i(1). Suppose m = 9*h - 346. Let a = 524 + -257. What is the remainder when a is divided by h?
51
Suppose 2*i + 28 = -k - 2, -5*k - i - 159 = 0. What is the remainder when (k/(-10))/(-1 - 130/(-125)) is divided by 27?
26
Let z = -30 + 32. Let c(f) = -3*f + 29. What is the remainder when c(-8) is divided by 29*(-1 + z)/1?
24
Let i = 17018 + -16658. What is the remainder when i is divided by 23?
15
Suppose -622 = -17*u - 108 + 98. Suppose -204 = -5*v + 106. What is the remainder when v is divided by u?
26
Let o(l) = l**2 - 10*l - 23. Suppose -5*x = -5*a + 40, -5*a = -2*x - 30 + 5. What is the remainder when o(x) is divided by 6?
4
What is the remainder when 3*-58333*7/(-231) is divided by 87?
83
Let n = 16105 - 16086. Suppose -4*j = 11 - 63. What is the remainder when n is divided by j?
6
Let z(s) = -2*s**3 + 15*s**2 - 6*s + 2. What is the remainder when z(6) is divided by 4 + (-1 - 3) - 1 - 1*-21?
14
Suppose 2*x - 6*q = -4*q - 184, 0 = 3*x - q + 276. Let p = -34 - x. Let b = -45 + p. What is the remainder when 49 is divided by b?
10
Let m(p) = 2*p**2 + 8*p + 10. Let k be m(-2). Suppose -30 = -2*z + 4*u, k*z = 4*z - 3*u - 25. Calculate the remainder when 19 is divided by z.
4
Let z = -46 + 46. Suppose -18 = -q + 4*s - 3, -3*q + 5*s + 31 = z. What is the remainder when 32 is divided by q?
4
Let m = -317 - -445. Let c(b) = -850*b - 5089. Calculate the remainder when m is divided by c(-6).
7
Suppose 0 = h + 2*m - 29, 0 = 2*h - 7*h + 3*m + 93. Let v = 108 - 47. What is the remainder when v is divided by h?
19
Let o(k) be the first derivative of -3*k**4/4 - k**3/3 + 3*k**2/2 - k - 74. Let n = 7 + -3. What is the remainder when o(-2) is divided by n?
1
Let x = 14 + -5. Suppose 40 = n + x*n. Suppose 2*f - 3*g = 23, 5*g + 30 = 3*f - n. Calculate the remainder when 75 is divided by f.
10
Let u = 1019 - 459. Let w = u - 442. Calculate the remainder when w is divided by 24.
22
Suppose -f + 7 = 2. Suppose 5*d = 2*s + 64, -s - 67 = -f*d - 0*s. Let l(a) = -a + 22. What is the remainder when d is divided by l(14)?
6
What is the remainder when (-2168)/(-2) - (6*-1 - (-51 + 48)) is divided by 68?
67
What is the remainder when 518 is divided by 42*(-21)/196*-1*(1 + 3)?
14
Let c = 37 - 14. Suppose 5*r + 5 = 4*l + 1, -l = r + 8. Let x(g) = -2*g**3 - 2*g**2 + 3*g + 7. Calculate the remainder when x(r) is divided by c.
22
What is the remainder when 830 is divided by (-5 + (-45)/(-10))/((-1)/166)?
0
Let t(l) = -179*l + 822. Calculate the remainder when t(1) is divided by 129.
127
Suppose 475*z = 459*z + 464. What is the remainder when 55 is divided by z?
26
Let s be (-10)/8 - (78/8 + -11). Suppose s = -5*m + 946 - 291. Calculate the remainder when m is divided by 22.
21
Let o(s) = 18*s**2 + 11*s + 5. Let d be o(-4). What is the remainder when (4/4)/(1/d) is divided by 14?
11
Let b(o) be the third derivative of -35*o**4/4 - o**3/2 - 41*o**2. Calculate the remainder wh