+ 12*f + 99084 = 0. Calculate the remainder when f is divided by 36.
33
Let y(q) = -106 + 52 + 16*q + 63 - q**2 + 2*q. Calculate the remainder when y(13) is divided by 15.
14
Let k = -44 - -89. Let p(c) = -6*c + 2*c - 3*c - 7 + 7*c**2 + 0*c. What is the remainder when p(-4) is divided by k?
43
Suppose 3714*n = 3702*n + 3456. What is the remainder when n is divided by 73?
69
Let h = -20 - -43. Let v = 89 - 86. Calculate the remainder when h is divided by (2/(24/52))/(1/v).
10
Suppose 89*i - 8690 = -70*i + 49*i. Calculate the remainder when i is divided by 98/3 + 4/(-6).
15
Let t(p) = 2*p**2 - 281*p + 1677. Let g(s) = 192*s**2 - s. Calculate the remainder when g(-1) is divided by t(6).
4
Let u(s) = -8*s**2 - 53*s - 25. Let g be u(-6). Suppose -g*x = -18*x + 884. Suppose -5*m - 7 + 77 = 0. Calculate the remainder when x is divided by m.
12
Let a(p) = p**2 + p - 7. Let l(g) = -3*g**2 + 25*g + 9. What is the remainder when a(-10) is divided by l(8)?
15
Suppose -12*c + 246 = -10*c. Suppose 1456 = -8*f - 6*f. Let o = f + c. Calculate the remainder when 54 is divided by o.
16
Let f = 16727 - 16681. What is the remainder when 3124 is divided by f?
42
Let a(x) = x**2 + 14*x - 13. Let w be a(7). What is the remainder when w + (-3)/27*-3*3 is divided by 37?
24
Let s be 0 + -1 + 11*(-5 - 48). Let a = -384 - s. What is the remainder when a is divided by 101?
99
Let d = -2201 - -2214. Calculate the remainder when 34 is divided by d.
8
Suppose -w - 36 + 108 = 0. Suppose 2*n = -2, -4*v + 42 = 2*n - w. What is the remainder when 139 is divided by v?
23
Suppose 40 = 4*d + 6*d. Suppose d*n + 5*s = 398, -2*n + 2*s = -72 - 136. What is the remainder when n is divided by (-51)/17 - (0 - 18)?
12
Suppose q = -p + 11, -4*q - 6 = -3*p - 36. Let j(t) = -t**3 + 10*t**2 - 10*t + 19. What is the remainder when 12/(-4) - -1*36 is divided by j(q)?
3
Suppose -209*q - 6570 = -204*q. What is the remainder when (-1016744)/q - (-4)/(-18)*-1 is divided by 25?
24
Let y = -24758 + 26983. Calculate the remainder when y is divided by 112.
97
Suppose -5*q + 2*q = -12. Let r(f) = -2*f**2 + 9*f - 9. Let a be r(q). What is the remainder when (-127)/(-5) - a/(-75)*6 is divided by 7?
4
Let x be (91/(-77) - 4/(-22)) + 9. What is the remainder when (-16 - -94) + x/2 + -1 is divided by 15?
6
Let q be 5 + 0 - 10/5. Let y(k) = 5*k - 18. What is the remainder when -3 - ((-54)/3 - q) is divided by y(5)?
4
Suppose -56*w + 6419 = -57309. What is the remainder when 3422 is divided by w?
8
Suppose 2157 - 206 + 977 = 122*t. Calculate the remainder when 7654 is divided by t.
22
Let z = 17361 + -17287. Calculate the remainder when 2066 is divided by z.
68
Let p = 123 + -120. Suppose d + f - 7 - 39 = 0, 5*d - 236 = -p*f. What is the remainder when d is divided by 27?
22
Let g(i) = -i**2 + 63*i - 482. What is the remainder when g(16) is divided by 107?
56
Let v = 693 - 699. Let b(y) = -79*y - 407. Calculate the remainder when b(v) is divided by 19.
10
Let a = 45 + 24. Let h(j) = -j**2 - j. Let p be h(0). Suppose p = -2*c + 8*c - 84. Calculate the remainder when a is divided by c.
13
Let j = 32 + -30. Suppose s + d - 45 = 0, -3*s - 2*d - j*d + 140 = 0. Calculate the remainder when 77 is divided by s.
37
Suppose -10*v + 1678 = 7*v - 1892. Let f be ((-4)/6)/(2/(-18)). Suppose f*j + 2*k = j + 356, -3*k + v = 3*j. What is the remainder when j is divided by 19?
15
Let k(d) = 9*d + 317. Let n(z) be the first derivative of -19*z**4/4 - z**2 - z - 1. What is the remainder when n(-1) is divided by k(-34)?
9
Let j(t) be the second derivative of t**4/4 - 2*t**3/3 - 43*t**2/2 + 9*t - 5. What is the remainder when j(-7) is divided by 15?
12
Let k(r) = 10*r - 4*r - 8*r + 54 - r. Calculate the remainder when 100 is divided by k(11).
16
Let m(z) = -17*z**3 - 12*z**2 - 14*z + 11. Calculate the remainder when 359 is divided by m(-2).
105
Let y = -43 - -79. What is the remainder when y is divided by 14/((-2322)/(-516)*2/9)?
8
Calculate the remainder when 1455 is divided by 940/(-16)*8/(-20)*(9 - 7).
45
Let j(i) = -5*i**3 - 7*i**2 - 8*i - 7. Let d = -173 - -171. Let b(o) = -o + 7. What is the remainder when j(d) is divided by b(0)?
0
Suppose 4*t + 3*y - 841 = 0, 4*y + 196 = 25*t - 24*t. Let a = 82 + -28. Calculate the remainder when t is divided by a.
46
Let n(a) = -15*a**2 + 162*a + 39. Calculate the remainder when 70 is divided by n(11).
4
Let q(z) = -z**2 + 7*z - 7. Let m(d) = 2*d**2 + 12*d - 51. Let o be m(-9). Let y(a) = -8*a - 1. What is the remainder when y(-1) is divided by q(o)?
2
Suppose -7*r - 8 = -57. Suppose 2*n - 151 = r. Let y = n + -64. What is the remainder when 192 is divided by y?
12
Suppose 18*w = 21*w - 9. Let c be (-2 + -3)*-10 + 0. Suppose -2 = w*x - c. Calculate the remainder when 43 is divided by x.
11
Suppose 2*z = -3 + 5. Let t = 23462 + -23459. Calculate the remainder when t is divided by z.
0
Suppose 5*s + 0*s = u + 474, -3*u + 288 = 3*s. Suppose 6*j + 17 - s = 0. What is the remainder when 17 is divided by j?
4
Suppose -99*c - 4793 = -5*n - 103*c, 0 = -5*n + c + 4758. What is the remainder when n is divided by 264?
161
Let y(r) = -2*r**3 - 5*r**2 - 6*r - 3. Suppose -8*n = 33 - 9. Suppose 4*d + 8 = 0, -3*q = q + 4*d - 468. What is the remainder when q is divided by y(n)?
23
Suppose -7*b + 126 + 644 = 0. What is the remainder when 1096 is divided by b?
106
Let k be -5 + 5 + 0 + 3. Suppose -3*y = -w + 25, -19 = -k*w - 5*y - 0*y. Calculate the remainder when w is divided by 9.
4
What is the remainder when (7/4 + -2)/((-90)/360) - -487 is divided by 175?
138
Let f(j) = -50*j - 7. Let d be f(-2). Suppose 2*i + i + d = 0. Calculate the remainder when (i/(-4 + 5))/(-1) is divided by 11.
9
Suppose 6*x + 1094 = 1166. What is the remainder when 12285 is divided by x?
9
Let a(d) be the third derivative of 0 + 1/120*d**6 - 1/24*d**4 + 19/6*d**3 - 11/60*d**5 + 0*d + 28*d**2. Calculate the remainder when 45 is divided by a(11).
5
Let v = -143 - -138. Calculate the remainder when v + 431/6 + (-2)/(-12) is divided by 19.
10
Let m = 247 + -286. Let j = 54 + m. What is the remainder when 89 is divided by j?
14
Let n(w) = w**3 + 11*w**2 - 6*w - 10. Let u be n(-8). Calculate the remainder when (1/2)/(5/u) is divided by 2/((-12)/(-9) + -1).
5
Let r be (84/18)/(3/9). Suppose -4*g = 2*a - 218, -3*g - r = -3*a + 277. Calculate the remainder when a is divided by 26.
23
Let i = 7668 + -7595. What is the remainder when 425 is divided by i?
60
Let g(b) = 2*b**3 - 9*b**2 + 4*b - 27. Calculate the remainder when 72 is divided by g(5).
0
Let o be 3*((-5)/(-3))/1. Suppose 0 = 5*x + 25, -1 = 2*p + o*x + 18. Suppose -2*g - p*g = -85. What is the remainder when 49 is divided by g?
15
Let d(k) = 520*k - 138. What is the remainder when d(3) is divided by 19?
16
Let n be -2*2 - 84/(-21). Suppose n*s = -8*s + 776. Suppose -f = 2*f - 60. What is the remainder when s is divided by f?
17
Suppose 0 = 3*o - 2*o - 45. Let c = -353 + 354. Calculate the remainder when (7 - 6 - 1) + (c - -128) is divided by o.
39
Let y = -3463 - -3467. What is the remainder when 103 is divided by y?
3
Suppose -9*r - 8*r = -442. Let l(v) = v**3 - 13*v**2 - 9*v + 21. Calculate the remainder when l(14) is divided by r.
13
Let l = 1056 + -523. Suppose 0 = 25*r - 12*r - l. What is the remainder when 243 is divided by r?
38
Let t = -16 + 90. What is the remainder when t is divided by (26/(-6))/((-11 + 40)/(-261))?
35
Suppose -4*q - 2*c + 22 = 0, 2*c - 4 + 45 = 3*q. What is the remainder when 3498 is divided by q?
6
Let g = 8654 + -7379. Calculate the remainder when g is divided by 314.
19
Let n = 10 - 6. Let j(v) = v**3 - 9*v**2 - 7*v + 7. Let u be j(10). Suppose 3*x - 143 = -r, n*x - 5*r - u = 3*x. What is the remainder when x is divided by 16?
15
Let r = -19933 - -21822. What is the remainder when r is divided by 628?
5
Suppose -2*u = -6*u - 5*s + 375, 3*u - 310 = 2*s. Suppose -9*q = q - u. Calculate the remainder when 159 is divided by 184/q - ((-99)/15 + 7).
15
Suppose 5*d + 3*t - 40 = 7*t, -4*d + 26 = -2*t. Let q = -43 + d. Calculate the remainder when 8/52 + 2 + (-5064)/q is divided by 27.
24
Let z(p) be the third derivative of -p**5/60 - 5*p**4/12 + 37*p**3/3 - 3*p**2 - 34. Calculate the remainder when 41 is divided by z(-14).
5
Suppose -22*u = 5*p - 27*u -