9)/414)*(-3 + 1).
90
Suppose 15*c = 20*c + 2*x - 1649, -2*c + 2*x + 654 = 0. Suppose -6*q + q + 165 = 0. Calculate the remainder when c is divided by q.
32
Suppose 0 = 5*k + i - 123 - 143, -110 = -2*k - 4*i. Calculate the remainder when k is divided by 26.
1
Let f be 6/(-4) - 196/(-56). Suppose -204 = -4*p + f*b, 3*b - b + 254 = 5*p. What is the remainder when 113 is divided by p/4 + (-10)/(-20)?
9
Suppose -36 = 80*x - 71*x. What is the remainder when x - (-55)/22 - (-638)/4 is divided by 27?
23
Let v(z) = 18*z + 37. Let j be v(11). Let k = 240 - j. Suppose -56 = -5*q + 54. What is the remainder when q is divided by k?
2
Suppose 0 = m - 27 - 25. Let v be (-4 + m/10)*15. What is the remainder when 4/v + 4254/54 is divided by 16?
15
Suppose -2*y = -d + 36 - 26, -4*d + 10 = -2*y. Calculate the remainder when 72/(-7)*(-7 - d/12) is divided by 41.
31
Let m(q) = 4*q**2 - 1. Let a be m(3). Let n = -16 + a. Let j(l) = 53*l + 860. Calculate the remainder when n is divided by j(-16).
7
Suppose -381*g - 2*j + 1 = -376*g, 2*j = 4*g - 26. What is the remainder when 2137 is divided by g?
1
Let v = -50 - -216. Let y = -153 + v. What is the remainder when 101 is divided by y?
10
Let y be ((-2541)/(-14) + 2)*-2. Let t = y - -457. Calculate the remainder when t is divided by 5.
0
Suppose 3*v - 3*g + 8*g = -2, -6*g = -v + 7. What is the remainder when 78 is divided by ((-20)/(-6))/(v/6)?
18
Let s be (-21)/(-63) - 356/(-3). Suppose -83*i = -84*i + s. What is the remainder when i is divided by 12?
11
Let h(r) = 4*r + 7 + 0*r**3 - 17*r - 5*r**2 + r**3. Let v(f) = 26*f**2 - 3*f - 2. Calculate the remainder when v(-1) is divided by h(7).
13
Let n be (-156)/(-18)*((-2186)/4 + 2). What is the remainder when 12/10 + n/(-55) is divided by 7?
3
Let c(h) = -4*h**3 - 26*h**2 - 168*h - 9. What is the remainder when c(-5) is divided by 138?
129
What is the remainder when (5112/(-81) + 19)*(1 + -10) is divided by 162?
73
Let i(t) = -643*t + 35. Calculate the remainder when 20369 is divided by i(0).
34
Suppose d + 167 = 3*o, 132*d + 111 = 2*o + 131*d. What is the remainder when 180 is divided by o?
12
Let w be (-8)/(-36) + (-34)/(-9). Suppose 3*l = 4*r + 64, l - w*r - 2 - 22 = 0. Calculate the remainder when ((-152)/(-10))/(10*6/150) is divided by l.
18
Calculate the remainder when 658 is divided by (-6)/15 - (2620/(-50) + 8).
42
Let w = 662 - 630. Calculate the remainder when 264 is divided by w.
8
What is the remainder when 143 is divided by (820/70)/((1 - 138/(-42)) + -4)?
20
Let i = -30 + 81. Calculate the remainder when i is divided by 18 + 3 + (71 - 3)/(-4).
3
Suppose -5*x + 36 = 8*b - 4*b, 4*x + 4 = 5*b. Suppose x*v - 304 = -64. Suppose k - 6*k + v = 0. What is the remainder when 57 is divided by k?
9
Let n(l) = -187*l + 4506. Calculate the remainder when 2896 is divided by n(24).
16
Suppose 0 = -4*a + 5*k + 123, 0*a - 3*a = 3*k - 72. Let h(y) = -19*y - 15. Calculate the remainder when h(-5) is divided by a.
26
Suppose 2*x - 345 = 443. Let t = 544 - x. Calculate the remainder when t is divided by 19.
17
Let t(g) = 7*g**2 - 40*g + 101. What is the remainder when t(8) is divided by 50?
29
Let t = 41 - 23. What is the remainder when (-930)/4*((-122)/183 - (-4)/(-3)) is divided by t?
15
Let y = 1319 + -862. Calculate the remainder when y is divided by 31.
23
Let x(j) = j**2 + 3*j. Let v be x(-1). What is the remainder when v - 4 - 2*-130 is divided by 51?
50
Suppose -268*h + 127*h + 123*h + 14292 = 0. What is the remainder when 3972 is divided by h?
2
Suppose -72 = -o + 5*b, 2*o - 15 = 5*b + 159. Let l(y) = y**2 - 2*y + 2. Calculate the remainder when o is divided by l(-5).
28
Suppose f + 2*u + 1 = 2*f, 14 = -4*f + 2*u. What is the remainder when 24 is divided by f + (-20)/(-2) + -4?
0
Calculate the remainder when 323 is divided by (51/(-2))/((-237)/790).
68
Suppose 7*x - 15*x - 896 = 0. Let g = x - -116. Let a = -30 - -44. Calculate the remainder when a is divided by g.
2
Let t = -4446 - -4464. Let k(u) = 62*u**2 - u. What is the remainder when k(1) is divided by t?
7
Suppose -3*k - 3*w = -4650, 68*k - 4658 = 65*k - 5*w. What is the remainder when k is divided by 12?
10
Suppose 0 = i + 2, 4*r - 5*i = -4*i + 1274. What is the remainder when r is divided by 10*-6*((-10)/(-6))/(-5)?
18
What is the remainder when 2967 is divided by (129 - 71) + -1 + -12?
42
Suppose -4*c + 4 = 3*u - 1, 4*c = 2*u + 10. Suppose -4*n + 2*n + 5*i = -c, -5 = -5*n + 3*i. Calculate the remainder when 237/6 + n/(-2) is divided by 10.
9
Suppose -188851 = -307*b + 108*b. What is the remainder when b is divided by 10?
9
Suppose 0 = -93*b - 383*b + 16644 + 54280. What is the remainder when 262 is divided by b?
113
Let n be (6 + -5 + 0)*152/1. Suppose -4*u + 30 = 2*x - 104, -n = -2*x + 5*u. Let i = x + -60. Calculate the remainder when i is divided by 4.
3
Let z(u) = -u**3 + 33*u**2 - 40*u - 108. What is the remainder when z(31) is divided by 148?
130
Suppose v - 190 = -5*a, -3*a = -3*v - 4 - 128. Suppose 2*r - 3*y - 154 = 0, 308 = 4*r + y + 4*y. Calculate the remainder when r is divided by a.
38
Let v(u) = -u**3 + 7*u**2 - 2*u + 6. Let h be v(0). Calculate the remainder when 294 is divided by (44/14)/((24/14)/h).
8
Let d(q) = 3*q + 46. Let u be d(-11). Suppose -26 = -2*b + 2*p, -5*b + u = p - 34. Suppose 47 = 4*m - 13. What is the remainder when m is divided by b?
5
Let i(l) = -l**3 - 19*l**2 + 42*l + 15. Let w be i(-21). Suppose 3*q = -16*h + w*h + 21, 0 = 2*q - 4. What is the remainder when 89 is divided by h?
14
Let m(w) = 177*w - 7627. Calculate the remainder when m(48) is divided by 34.
19
Suppose -3 = -4*k - 5*d + 32, -2*d + 11 = k. Suppose 99 + 15 = 3*r. Calculate the remainder when r is divided by k.
3
Suppose -171 = -19790*l + 19771*l. What is the remainder when 30050 is divided by l?
8
Let s(n) = -2*n**2 - 39*n - 40. Let l be s(-18). Suppose 2*w - 7*w + 12 = -4*g, 0 = -w - 5*g + l. Calculate the remainder when 16 is divided by w.
0
Let x = -79 - -88. Let a(q) = 2*q + 156. What is the remainder when a(-40) is divided by x?
4
Let u(t) = -3*t + 43. Let f be u(0). Let p = -29 + f. Suppose -3*g - 79 = -n, 2*g = -n - 0*n + 59. Calculate the remainder when n is divided by p.
11
Suppose -5*i = -306 - 24. Let l be (-75)/(-7) - 14/(-49). Suppose -3*a + 4*q = -97, -l*a + 6*a + 3*q + 169 = 0. What is the remainder when i is divided by a?
31
Suppose -4*g + 2*g + b + 536 = 0, -3*g = -3*b - 807. What is the remainder when g is divided by 28?
15
Suppose -j + 5*v + 0 = -8, 5*j - 5*v - 20 = 0. Suppose 3*d - 38 = -4*k + 2*d, -5*k - j*d = -44. What is the remainder when 527 is divided by k?
7
Let j be (-8)/(-24) - 16/(-6). Suppose 2*s + 5*t - 59 = s, 141 = j*s - 3*t. Suppose -19*k = -13*k - 150. Calculate the remainder when s is divided by k.
24
Let s(y) = 2*y**3 + 41*y**2 - 20*y + 19. Let v be s(-21). Calculate the remainder when (42048/(-78))/(-6) + v/(-13) is divided by 16.
10
Let u(x) = 48*x - 2. Let s be u(3). Suppose f = 5*k - 31, -f + 67*k - 22 = 71*k. Let t = s + f. What is the remainder when t is divided by 24?
20
Calculate the remainder when 119 + ((-116)/(-56) - (-1)/(-14)) is divided by 25.
21
Suppose 19 - 1 = -6*g. Let d be -5*g/30*74. Let h = d + -7. Calculate the remainder when 89 is divided by h.
29
Let x = 24610 + -12535. What is the remainder when x is divided by 11?
8
Let a(y) = -y - 6. Let w be a(0). Suppose -281 + 246 = -35*k. What is the remainder when (-1 + 2)/(w/(-24)) is divided by k?
0
Let a = 18 - -17. Let t(g) = 5*g - 23. Calculate the remainder when a is divided by t(10).
8
Calculate the remainder when -1 + (-1803)/9*-3 is divided by 41 + (2547/135 - 17) + 2/15.
41
Let o be (-36)/(-14) - (-56)/(-98). What is the remainder when (1245/(-30))/(3 - 7/o) is divided by 21?
20
Let i(j) = -21*j + 1238. What is the remainder when i(42) is divided by 334?
22
Let k(z) be the third derivative of -z**5/60 + z**4/4 - 5*z**3/6 + 14*z**2. Let u be (48/20 + -3)*(-60)/18. What is the remainder when 11 is divided by k(u)?
2
Suppose -6*a + 29 = -1. Let l be -4 + a - 4/(2/(-2)). Suppose -4*d - g + 5*g + 56 = 0, 5*g = -l*d + 90. What is the remainder when 60 is divided by d?
12
Suppose 5*a - 19 = -c, -7*a = 3*c - 2*a - 27. Let b(y) = -13*y + 85. Suppose 4*m = -w, 5*m = 4*w - 39 - 24. What is the remainder