uppose 0 = -l - 8*p + t*p + 40, 3*l + p - 78 = 0. Suppose 7*g - 2*g = l. What is the remainder when 10 is divided by g?
0
Let t be (-1)/5 - 546/(-105). Suppose -3*q = 4*r - 344, t*q - 3*r - 2*r = 550. What is the remainder when q is divided by 30?
22
Let f(v) = -12*v**2 - 612*v + 73. What is the remainder when 196 is divided by f(-51)?
50
Let b(p) = -p**3 + 20*p**2 + 25*p + 52. Let s be b(20). Suppose 181*j + s = 189*j. What is the remainder when 113 is divided by j?
44
Let h = 7573 + -6218. What is the remainder when h is divided by 31?
22
Suppose 4*a + 5*j + 15 = 0, -65*a = -60*a + 3*j - 4. Calculate the remainder when 1387 is divided by a.
2
Suppose 2*p = -5*l + 75, -7*l = -2*l - 3*p - 50. Let k(h) = h**3 - 7*h**2 - 6*h - 8. What is the remainder when k(9) is divided by l?
9
Let d be 2/(-6)*-3*11. Suppose -d*c + 137 = -138. Calculate the remainder when c is divided by 14.
11
Suppose 5*o = 2*h + 15, -o - 3*h + 1 = 15. Suppose -4 = -3*f - o, m + 2*f = 89. Calculate the remainder when m is divided by 46.
41
Let a(q) = 17*q - 44. Let x(b) = -6*b + 15. Let u(g) = 4*a(g) + 11*x(g). Suppose -7*s + 3*s = -20. What is the remainder when s is divided by u(6)?
0
Suppose -14*h - 23057 + 26490 = -84753. What is the remainder when h is divided by 63?
62
Suppose -46673 - 34687 = -144*y. Calculate the remainder when y is divided by 449.
116
Let g be -3*(5 - (-1 - -5))*-5. Let q = 3 + g. Calculate the remainder when 51 is divided by q.
15
Let p = 5515 + -5349. What is the remainder when p is divided by 75?
16
Suppose 138 = 2*z + 2*o, 8 = -4*o - 0*o. Let d = -612 - -604. Let g(q) = -q**3 - 9*q**2 - 5*q + 49. What is the remainder when z is divided by g(d)?
21
Let p be (-6*(-15)/(-40))/(21/(-28)). Calculate the remainder when 45 is divided by 1 - (p - 28 - -2).
21
Suppose 0 = 539*s - 506*s - 108603. Calculate the remainder when s is divided by 16.
11
Suppose -11805 = 17*n - 13131. Calculate the remainder when n is divided by 31.
16
Suppose -5*h - 205 = -5*z, 0 = z + 3*h + 19 - 80. Calculate the remainder when 163 is divided by z.
25
Suppose -4*d = 4*s - 41 - 47, -4*s - 3*d + 87 = 0. Suppose 4001 - 671 = 307*w - 85*w. Calculate the remainder when s is divided by w.
6
Let q = -93 + 100. Suppose -q = -2*v + 259. Suppose 6*h - v - 17 = 0. Calculate the remainder when 72 is divided by h.
22
Suppose 101 = -2*a + 115. Let h(i) = -i**3 + 10*i**2 - 17*i + 7. What is the remainder when 174 is divided by h(a)?
34
Let m(s) = 10*s**2 + 1. Suppose 234*y = 232*y + 4. Suppose 0 = 3*d - j + 2*j - 7, -y*j = d - 4. What is the remainder when m(d) is divided by 11?
8
Let a = 4160 + -4131. What is the remainder when 1025 is divided by a?
10
Suppose 5*h - 2*g = 78, -4*h - 3*g + 36 = -3*h. What is the remainder when 24 is divided by h?
6
Let o = -59 + 59. Suppose 2*y + 985 - 1003 = o. Let w(i) = -i**3 - 4*i**2 - 7*i - 4. What is the remainder when w(-4) is divided by y?
6
Suppose 0*u + 85 = 5*u. Suppose -535*i = -3836 - 21844. What is the remainder when i is divided by u?
14
Suppose 48*a + 12 = 54*a. Let m(p) = 132*p - 27. What is the remainder when m(a) is divided by 48?
45
Let d(a) = -18*a**3 - a**2 + 2*a + 2. Let f(x) = 3*x**2 - 18*x - 1. Let z be f(6). Calculate the remainder when 35 is divided by d(z).
1
Suppose -t + 4*y - 1798 = -7237, -3*t - 3*y = -16197. Calculate the remainder when t is divided by 66.
61
Suppose -5*l = -9*l - 604. Let a = l - -156. What is the remainder when a is divided by 2?
1
Let p = 22390 - 22288. What is the remainder when p is divided by 76?
26
Let n = -23 + 26. Suppose -n*x = 2*x - 5*v + 255, 3*x + 151 = v. What is the remainder when (x/(-4))/((-6)/(-12)*1) is divided by 15?
10
Suppose -2*p + 1293 = -5*g, 3*g = 3705*p - 3700*p - 3166. What is the remainder when p is divided by 193?
50
Let y = -6996 - -7324. Calculate the remainder when y is divided by 57.
43
Let a be 28 + 2*-1 - 1. Let v(y) = -12*y - 643. Let g be v(-54). Let m = a + g. Calculate the remainder when m is divided by 11.
8
What is the remainder when 6236 is divided by ((-4)/(432/(-522)) - (5 + 1))*-534?
6
Let m = 21902 + -21839. Calculate the remainder when 2645 is divided by m.
62
Suppose -2*z - 3*z + 10 = 0. Suppose 0 = 3*m + 2*y - y + 32, 4*y = -z*m - 18. Let k(o) = o**2 + 10*o + 20. Calculate the remainder when 60 is divided by k(m).
29
Calculate the remainder when (-7693)/(-56) - (-9)/(-24) is divided by 116.
21
Suppose 23 = -4*c + 5*r, -5*r + 8 - 3 = 5*c. Let s(f) = 120*f**2 + 38*f + 80. Calculate the remainder when s(c) is divided by 97.
96
Let w = 304 - 288. Let m(t) = -t**3 - 8*t**2 + t + 11. Let o be m(-8). Suppose 0 = -o*z - z + 108. What is the remainder when z is divided by w?
11
Let u(j) = 3*j - 7. Let s be u(5). Let z be 63/12 + (-2)/s. Suppose -131 = -z*i + 154. Calculate the remainder when i is divided by 15.
12
Let i(q) = -4*q**2 + 35*q + 190. What is the remainder when 541 is divided by i(10)?
121
What is the remainder when (-1 - -16) + 10 + 281 is divided by 68?
34
Let m(s) = -s**3 + 5*s**2 - 8. Let t be (-8)/(4/((-2)/2) + 2). Calculate the remainder when m(t) is divided by 1.
0
Suppose 4*q - 1403 + 1065 = z, -z = -2*q + 172. What is the remainder when 1737 is divided by q?
77
Let u(l) = 6*l**2 - 9*l + 7. Let m be u(3). Calculate the remainder when 153 is divided by m + ((-7)/3 - 20/30).
29
Let t = 128 + -37. Let d(s) = -s**3 - 6*s**2 + 5*s + 7. Let u be d(-7). Calculate the remainder when t is divided by 3/(-1)*(-161)/u.
22
Let c(q) = 5*q**2 + 335*q + 706. Calculate the remainder when c(-72) is divided by 38.
36
Suppose 0 = 4*y - 3*h - 1097, -4*h + 475 + 657 = 4*y. What is the remainder when 1002 is divided by y?
168
Suppose 63 = 30*k + 3. Suppose 19 = s + 2*q, -2*s - 5*q = -10*q - k. What is the remainder when s is divided by 7?
4
Let o(a) = -7*a**2 - 347*a - 67. Calculate the remainder when o(-49) is divided by 3.
0
Let w(y) = -122*y + 1675. Calculate the remainder when 595 is divided by w(13).
61
Let r = 2205 - 2145. Calculate the remainder when r is divided by 18.
6
Suppose 5*n - 2189 = k, 0 = -3*n + k + 4*k + 1331. Suppose 3*l = -2*g + 221, 3*l - 4*l = 4*g - n. What is the remainder when g is divided by 41?
27
Let z(x) = 38*x - 29. Let k be z(1). Suppose -b + 2*q = -25, -5*b - 4*q - 112 = -k*b. What is the remainder when 59 is divided by b?
28
Suppose -4*p = -203 - 1197. Suppose 0 = 108*q - 73*q - p. What is the remainder when 6/(-3)*(-50)/4 is divided by q?
5
Let g(a) = 275*a - 150*a - 137 - 105 + 37 - 144*a. Calculate the remainder when 390 is divided by g(-12).
22
Let o = 59 - -24. Let d = 274 + -242. Suppose 6*m - d = -3*v + 4*m, 5*m = 4*v - 58. Calculate the remainder when o is divided by v.
11
Let n(d) = 53*d + 955. What is the remainder when 108 is divided by n(-16)?
1
Let m(a) = 3*a**2 + 2*a - 4. Suppose -6*j - 5 = -j + 4*y, -25 = 5*y. Suppose -576 = -w - j*w. What is the remainder when w is divided by m(3)?
28
Let l(r) be the first derivative of -2*r**3/3 + 17*r**2 + 7*r - 42. Calculate the remainder when l(16) is divided by 15.
9
Suppose -3*b - 552 = -s + 41, -4*b = 0. Suppose s = 4*l + 5*h - 134, 4*l + h = 747. Calculate the remainder when l is divided by 24.
20
Let b(m) = -m**3 - m**2 + 14*m + 711. What is the remainder when b(0) is divided by 171?
27
Let k(q) = q**3 + q**2 + q + 1. Let p(v) = -4*v**3 - 3*v**2 - 2*v + 1. Let i(h) = 5*k(h) + p(h). Calculate the remainder when 125 is divided by i(3).
5
Let k(i) = -i**3 - 22*i**2 + 48*i + 73. Let p be k(-24). Suppose 5*l - c - 341 = -5*c, 0 = l + 2*c - p. What is the remainder when l is divided by 37?
28
Suppose -6*c + c - 35 = 0. What is the remainder when 15 is divided by 300/28 + (-2)/c?
4
Let d = 4 - -34. Suppose h = d - 33. Suppose -32 = -s - h. Calculate the remainder when s is divided by 15.
12
Let o(x) = x**2 - 8*x + 1745. What is the remainder when o(66) is divided by 25?
23
Let k = 21 - 19. Suppose 2*w - t = 40, -w + 72 = 3*w + k*t. What is the remainder when w is divided by 11?
8
Let n = 26363 - 26205. Calculate the remainder when n is divided by 20.
18
What is the remainder when 1974 is divided by (-634)/(-12) - (-43)/516*10/(-1)?
50
Let h = 465 - 409. Suppose 0 = h*a - 65*a + 99. What is the remainder when a is divided by 4?
3
Let s(b) = -b**2 - 15*b + 12. Let z(p) = 17*p + 155. What