 a(w) = -21*w + 993. Let l(q) = -10*q + 497. Let i(x) = 2*a(x) - 5*l(x). What is the remainder when h is divided by i(66)?
25
Suppose 5*k + 3*n = 4*n + 3, -5*k = -2*n - 6. Let q = 4 + 15. What is the remainder when k - 5/(20/(-292)) is divided by q?
16
Let n be (5/(-25) - 1)*10/(-3). What is the remainder when 30 is divided by (n - 6) + (90/3 - 3)?
5
Suppose -4*p = -2*p - 3*h - 324, 5*h = -2*p + 324. What is the remainder when p is divided by 53?
3
Let b(j) = 2*j**3 + 2*j**2 - 51*j + 16. What is the remainder when b(8) is divided by 247?
19
Suppose -h + 4*h = -5*u, -u = 3*h. Suppose h = 7*m - m - 3648. Suppose -6*i + m = 2*i. Calculate the remainder when i is divided by 11.
10
Let i(s) = s**3 + 9*s**2 - 2560*s - 17963. Suppose -4*d = -3*d - 29. What is the remainder when i(-7) is divided by d?
26
Suppose 3*k = -3*x + 24, 3*x - 30 = -44*k + 39*k. Suppose -k*y + r + 266 = 0, 354 = 4*y + 9*r - 10*r. Calculate the remainder when y is divided by 32.
24
Let y = 76 + -49. Let g = 10900 + -10807. Calculate the remainder when g is divided by y.
12
Suppose 3*f - 74 = -4*t, -2*f + 1 + 3 = 0. Calculate the remainder when ((-194)/10)/(43/(-215)) is divided by t.
12
Suppose -149*b + 96*b = -18444. Calculate the remainder when b is divided by 14.
12
Suppose 3*s + 142 - 1903 = 0. Suppose 260*u - 8422 - 2796 = -298. What is the remainder when s is divided by u?
41
Let j(d) = -d**3 + 20*d**2 + 22*d - 16. Let g be j(21). Suppose 0 = 5*x - 0*x - g. Suppose 0 = -b + 1. What is the remainder when x is divided by b?
0
Let n = -139 + 145. What is the remainder when 33/n*(24 + -6) is divided by 25?
24
Let h(l) = 21*l**2 + 19*l - 88. What is the remainder when 367 is divided by h(-4)?
23
Let u = -262 - -492. What is the remainder when u is divided by 55?
10
What is the remainder when (-24)/(13 - 19) - -1003 is divided by 63?
62
Let g = 177 + -111. Let b = 215 + -19. What is the remainder when b is divided by g?
64
Let x = 1250 - 1287. Suppose -3*j - j - 52 = 0. Let z = j - x. Calculate the remainder when z is divided by 5.
4
Let o(q) = -98*q - 923. Calculate the remainder when o(-22) is divided by 13.
11
Let o = -2561 - -5359. What is the remainder when o is divided by 51?
44
Suppose 5*u + 0*r + r - 8 = 0, -4*u + 2 = 3*r. Suppose -85 = -u*m - 2*d - d, -d - 122 = -3*m. What is the remainder when (40/(-70) + 1425/7)*1 is divided by m?
39
Suppose 17*w - 16*w = 3*z - 271, -5*z + 453 = -3*w. Suppose -22*x + 28*x = z. What is the remainder when 56 is divided by x?
11
Let n = -568 + 570. Suppose -4*j - h + 102 = 0, -n*j - 54 = -4*j - 2*h. What is the remainder when 270 is divided by j?
20
Suppose 4*g - 3*m - 4785 = -354, -g - 5*m + 1102 = 0. What is the remainder when g is divided by 16?
3
Let x be 2/4*12 - (-1 + -1). Let v = 56 + -21. Suppose -q - v - x = -2*r, 3*r - 67 = -q. What is the remainder when 65 is divided by r?
21
Suppose 0 = 2*u - 71 + 17. Let p = 35 + -26. Suppose -p*h = h - 790. Calculate the remainder when h is divided by u.
25
Let p(x) = -x**2 + 17*x - 63. Let n be p(8). Let u(j) = 3*j + 15. Calculate the remainder when 162 is divided by u(n).
36
Suppose 25352 = 78*l - 38686. Calculate the remainder when l is divided by 814.
7
Let d = -3178 + 3259. What is the remainder when d is divided by 8?
1
Suppose 380*c - 1088 = 312*c. Calculate the remainder when 4111 is divided by c.
15
Suppose 9*i + 5*i = 42. Suppose 6*n + i*n - 387 = 0. What is the remainder when n is divided by 9?
7
Let f = -7 - -13. Let h(y) = 13*y - 30. Let w be h(-7). Let t = w - -134. What is the remainder when t is divided by f?
1
Let u(z) be the third derivative of -13*z**4/24 - 32*z**3/3 + 30*z**2. Let l be u(-9). Let c = -29 + l. Calculate the remainder when 87 is divided by c.
15
Suppose -2140*y + 1440 = -2120*y. Calculate the remainder when y is divided by (2 - 0)*(-38)/(-4).
15
Let n(u) = -3*u**2 - 221*u - 1478. What is the remainder when n(-57) is divided by 77?
63
Suppose -534 = 188*b - 187*b. Let z = -523 - b. What is the remainder when 435 is divided by z?
6
Let f = 3187 + -3137. What is the remainder when 199 is divided by f?
49
Suppose -9*k + 347 = 311. Suppose -2*o + 353 = p - k*p, 5*o = 3*p + 896. Calculate the remainder when o is divided by 23.
20
Suppose -419 = -8*y - 331. Suppose 2*q + y - 3 = 0, q = -3*b + 50. Suppose -j = 2*d - 51, 4*d - 2*d = 4*j - 204. What is the remainder when j is divided by b?
15
Suppose 11*n - 9*n + 4*j - 92 = 0, -3*j = 3*n - 123. What is the remainder when n is divided by ((-1)/2 - 1)*(-228)/19?
0
Let q be ((-4)/(-9))/(6/81). Let h(s) be the second derivative of -s**4/4 + 7*s**3/2 - 5*s**2/2 - s. What is the remainder when 22 is divided by h(q)?
9
Suppose 6659 + 5284 + 3797 = 787*a. Suppose 4*i = 3*x + 402, 0 = 3*x + 3 + 3. What is the remainder when i is divided by a?
19
Let y(o) = -2*o - 10 - 4*o**2 - 7*o**2 + 2*o + o**3 + 10*o. Let f be y(10). Let r = f + 25. What is the remainder when 133 is divided by r?
13
Suppose 3*i - 2*i - 7 = 2*p, -10 = -2*p. Suppose 5*u - i - 8 = 0. What is the remainder when 6 is divided by u?
1
Let u = -85 - -231. Let f(w) = -2*w**2 - 26*w - 23. Let d(q) = 11*q**3 + q**2 - 3*q - 3. Let m be d(-1). What is the remainder when u is divided by f(m)?
35
Suppose 0 = -x + 6*t + 31 + 12, 5*x - 4*t - 215 = 0. Calculate the remainder when 2620 is divided by x.
40
Suppose 3*o - 4*p = 84, -p + 27 = 33. Calculate the remainder when 729 is divided by o.
9
Let j = 6990 - 4977. Calculate the remainder when j is divided by 63.
60
Let q = 142 - 135. Let o(g) = 5*g**2 - 23*g - 1. Suppose 7*c + 4*c - 77 = 0. What is the remainder when o(c) is divided by q?
6
Let d(x) = -2*x**2 + 143*x + 7231. Calculate the remainder when 2/8 + (-2726)/(-8) is divided by d(-34).
56
Suppose 105 = 13*k - 20*k. Calculate the remainder when 42 is divided by ((-1860)/8)/k - 1/2.
12
Let c = 766 + -760. Calculate the remainder when ((-64)/c)/(22/(-231)) is divided by 62.
50
Suppose 32314 - 7942 = 18*z. What is the remainder when z is divided by 31?
21
Let r(v) = -201*v - 85. Let n be r(5). What is the remainder when 343 is divided by (-3)/(5 - n/(-215)) + 0?
42
Let q be -1 - ((-20)/(-2) + -2). Let t(f) = -43 + 52 - 23 - 2*f. What is the remainder when 10 is divided by t(q)?
2
Let n(o) = 28*o**3 + 2*o**2 + 5*o - 6. Let v = -244 + 245. Calculate the remainder when n(v) is divided by 19.
10
Suppose 49*s - 38416 = 18767. What is the remainder when s is divided by 59?
46
Suppose 0 = -5*k + 11*g - 8*g + 1, 4*k = -4*g + 20. Suppose k*f + 136 + 58 = 0. Let i = f + 114. Calculate the remainder when 40 is divided by i.
6
Suppose 0 = 33*i - 57*i - 35*i + 9735. Calculate the remainder when 668 is divided by i.
8
Suppose -5*p = -3*u - 6, p + p + 5*u - 21 = 0. Suppose p*r - 57 = 4*v, -31 = 2*v - 2*r + r. Let m = 30 + v. Calculate the remainder when 32 is divided by m.
8
Suppose w = 5*x - 3*w - 320, 0 = w. Suppose -15*o = -2577 - 3182 - 916. What is the remainder when o is divided by x?
61
Suppose 2*d - 793 = -3*z, 5*z + 794 = 8*z + d. Calculate the remainder when z is divided by 64.
9
Suppose 8*q - 7*q + 2030 = 8*q. What is the remainder when q is divided by 18?
2
Let x = -7445 + 7512. What is the remainder when 95 is divided by x?
28
Suppose 71 - 422 = -27*b. Calculate the remainder when 88 is divided by b.
10
Suppose 16*o = 16*o + 9*o - 62001. What is the remainder when o is divided by 13?
12
Let h be (90/5)/((-6)/268) - -1. Let y = -767 - h. Suppose 542 = 3*u + c + c, -5*c = -5*u + 870. What is the remainder when u is divided by y?
34
Let g = 24803 - 24730. Calculate the remainder when g is divided by (-36)/(-2) - (-2 + 4).
9
Suppose -j + 2*j - 37 = 0. Suppose 3*s = 4*u + 178, -s + 3*u = -4*s + 213. What is the remainder when s is divided by j?
29
Suppose 0 = 3*g + 2*k - 2239, -3*g + 2243 = -58*k + 56*k. What is the remainder when g is divided by 64?
43
Let k = 15466 - 14569. What is the remainder when k is divided by 27?
6
Let i = -4296 + 4406. Calculate the remainder when 3847 is divided by i.
107
Suppose -5 = 8*b + 27. Let h be (-1 + b/12)/((-1)/3). Suppose -156 = -4*a + h*c, -a + 3*c + 57 = 14. What is the remainder when 145 is divided by a?
34
Let r(j) = 37*j + 710. What is the remainder when r(-18) is divided by 22?
0
Let j be -1304*-6*6/(-72). Let g = j - -872. Ca