 40. Suppose 8*b - 4*b - 3176 = 2*l, z*b = -4*l + 3152. What is the remainder when b is divided by 53?
50
Calculate the remainder when 585 is divided by -89*(7 + -6 - (-1 - (-6 - -3))).
51
Let d(f) = -f**3 + 5*f**2 + 4*f - 3. Let g be d(5). Suppose 0 = 4*h - g - 35. Suppose 15*t + 59 = 39*t - 133. Calculate the remainder when h is divided by t.
5
What is the remainder when (-420)/700 + (2/10 - 5334/(-10)) is divided by 178?
177
Suppose -48*g - 2080 = -49*g - 3*q, 4232 = 2*g - 3*q. Calculate the remainder when g is divided by 232.
16
Suppose 0 = -3*g + 10*a + 1168, -3*a - 1 = -7. Calculate the remainder when g is divided by 35.
11
Let n(w) = w**2 + 9*w - 26. Let p(v) = -4*v**2 - 37*v + 103. Let c(z) = -18*n(z) - 4*p(z). Calculate the remainder when 78 is divided by c(-9).
18
Let m(u) = 3*u**2 - 5*u + 1. Suppose 0 = -20*x + 25*x - 950. Suppose -10*b - 70 = -x. What is the remainder when m(-4) is divided by b?
9
Let z = 112 + 110. Suppose -z = -6*r + 60. Calculate the remainder when r is divided by 10.
7
Let c(i) = 24*i**3 + 2*i**2 - i + 1. Let q = -84 - -86. Calculate the remainder when c(q) is divided by 40.
39
Suppose -2*p + 3 + 7 = 0. Let l = 499 - 364. Let d = -116 + l. What is the remainder when d is divided by p?
4
Let r = 859 + -805. What is the remainder when 58 is divided by r?
4
Let o = 2655 + -2593. Calculate the remainder when 829 is divided by o.
23
Suppose -2*l + 6*l + 24 = 0, -3*q + 1098 = l. Calculate the remainder when q is divided by 94.
86
Let l be (1 - 6)/((-1 + 2)/(-9)). Let j = l - 48. Let p(q) = -48*q. Calculate the remainder when p(j) is divided by 37.
33
Suppose l = -4*h - 0 - 5, 0 = -l - 3*h - 3. Suppose s - 6*s = l*j + 83, -3*j = -2*s + 55. Calculate the remainder when 142 is divided by (60/j - -2)/(1/(-28)).
22
Suppose -2527 = -71*n + 1766 + 3020. Calculate the remainder when n is divided by 53.
50
Suppose -d - 31 = -0*d. Suppose 3*a = -s - 8, 0 = -3*s + 5*a - 15 + 5. Let n = s - d. Calculate the remainder when n is divided by 7.
5
Let v = -578 - -536. What is the remainder when (-8706)/v + 18/(-63) is divided by 93/3 + (1 - 2)?
27
Let f = 545 + -525. Let d(u) = -3*u**2 + 70*u - 59. Calculate the remainder when d(f) is divided by 41.
18
Suppose 84*p - 19593 - 2599 = 76*p. What is the remainder when p is divided by 31?
15
Let d(x) = -x**3 - 7*x**2 - 7*x - 12. Let p be d(-8). Suppose 0 = -4*z + v + 4*v + p, 3*z - 2*v - 74 = 0. What is the remainder when 62 is divided by z?
18
Let s(t) = -8*t - 19. Let f be s(-8). Suppose 5*h - 30 = f. Suppose 2*g + 5*d = 49 + 9, d + h = g. What is the remainder when g is divided by 10?
9
Let w(j) = j**3 - 32*j**2 + 112*j - 387. What is the remainder when w(29) is divided by 79?
22
Let r(b) = 2*b**3 - 17*b**2 - 4*b + 115. Calculate the remainder when 4355 is divided by r(8).
4
Let i be 1 + 80/4 - 4. Let o = 31 - i. What is the remainder when 3/(-12) + o/(-8) + 5 is divided by 2?
1
Let a be (6 - 0)/(-23 - -26). Suppose -28 = -a*x - 2*x + 4*j, -3*j = x - 23. What is the remainder when 87 is divided by x?
10
Let s(r) = 8*r**2 - 3*r + 1. Let z = -118333 + 118354. Calculate the remainder when s(-3) is divided by z.
19
Let r = 13695 - 13564. Calculate the remainder when 429 is divided by r.
36
Suppose -5*r - 289 = -4*o, -4*o - 6*r + 298 = -8*r. What is the remainder when 260 is divided by o?
32
Suppose -3*f + 84 = 3*l, 3*l + 96 = 3*f - 0*l. Let h(b) = -7*b - 21. Calculate the remainder when f is divided by h(-6).
9
Suppose v = 3*o + 251, -10*v = -13*v + 4*o + 758. Calculate the remainder when v is divided by 23.
1
Suppose 2*t - 2*x = 54, 117*t = 113*t - 2*x + 90. What is the remainder when 975 is divided by t?
15
Suppose 3*m = -g - 12 + 36, -3*m + 108 = 5*g. What is the remainder when 78 is divided by g?
15
Suppose -529*i + 542*i - 819 = 0. Calculate the remainder when i is divided by (2 + -4 + 3)*33.
30
Suppose -4*a + 18957 = 1761. What is the remainder when a is divided by 86?
85
Suppose 177 = t + 11. What is the remainder when 202 is divided by t?
36
Let v be (24/(-10))/((-1520)/(-250) - 6). What is the remainder when 414*(5/3)/(v/(-12)) is divided by 93?
90
Let o = -93 + 96. Suppose 5*z + 27 = f, 17 = -4*f - 8*z + o*z. Let y = 7 - -1. Calculate the remainder when y is divided by f.
0
Let b(r) = -5*r + 61. Let c be b(17). Calculate the remainder when -4 + (-112)/c - (-79)/3 is divided by 19.
8
Let b = 161 - 157. Suppose -b*a = 8*a - 1944. Calculate the remainder when a is divided by 28.
22
Suppose 8*s - 1978 = 1314 - 612. What is the remainder when s is divided by 108?
11
Suppose 15*g - 2410 = 10*g + 3*t, t = -5. Calculate the remainder when g is divided by 99.
83
Suppose 3*c = -4*v + 1330, 0 = -168*v + 175*v - 3*c - 2278. What is the remainder when 656 is divided by v?
0
Let d(m) = 5*m**2 - 5*m - 12. Calculate the remainder when (2 + -3)*(-7 + -76) is divided by d(-2).
11
Let x(w) = -59*w + 169. Let k be x(3). Calculate the remainder when (-10 - -18)/k - (-304)/2 is divided by 11.
8
Let a = 63 - 63. Suppose 4*v + 5*c = 545, 2*v + 4*c = -a*v + 268. Suppose 5*p = 12*p - v. Calculate the remainder when p is divided by 8.
4
Let n(p) = p**3 - 70*p**2 + 217*p - 755. What is the remainder when n(67) is divided by 64?
61
What is the remainder when 451 is divided by 3065/40 - (-114)/304?
66
Let n(j) = -2 - 2*j**2 - j**2 + 4 - 1. Let p be n(-1). Calculate the remainder when (-3)/((8/12)/p) is divided by 5.
4
Suppose -936 + 111 = -15*w. Suppose -5*u + 29 = -0*u + 2*l, -u = -l - 3. Calculate the remainder when w - (2/13 + 702/(-169)) is divided by u.
4
Suppose 16*z = 10*z + 120. Suppose 2*o = -2*o + z. Suppose 0*w + 5*u + 30 = w, 2*w - o = -u. Calculate the remainder when 13 is divided by w.
3
Suppose -7380 = -114*r + 32*r. Calculate the remainder when r is divided by 79.
11
Suppose 2*h + 5*h - 84 = 0. Suppose 4*p = 4*b + 16, -p - h = -0*p - 5*b. What is the remainder when (69/(-2))/(18/(-48)*2) is divided by p?
6
Suppose 2*r - 18 = -10. Suppose -1235 = -47*i - 13. What is the remainder when i is divided by r?
2
Suppose -132*t = -142*t - 11680. Let u = 1191 + t. Suppose 3*v = -v + 172. Calculate the remainder when v is divided by u.
20
Let i be (2 + -1)/(3/(20 - -1)). What is the remainder when 161 + i + (-3)/(-4 + 1) is divided by 19?
17
Let y(i) be the second derivative of -i**4/12 + 11*i**2 - i. Let z = 29046 - 28989. What is the remainder when z is divided by y(0)?
13
Suppose -25 = -8*r + 127. Suppose 9*k - 361 = -r. Calculate the remainder when 567 is divided by k.
35
Let i(f) = -f**2 + 18*f + 11. Let s be i(14). Suppose -18*j - s = -517. Calculate the remainder when 129 is divided by j.
4
Let o(v) = -27*v**3 + 7*v**2 + 6*v. Let z be o(-2). Suppose 16*h - z - 120 = 0. Calculate the remainder when 34 is divided by h.
12
Let b = -5152 - -5375. What is the remainder when 267 is divided by b?
44
Suppose 197 = p - 119 + 77. What is the remainder when 742 is divided by p?
25
Suppose 15*a - 13493 = 55102. Calculate the remainder when a is divided by 16.
13
Suppose -238 - 142 = -7*b + 726. Calculate the remainder when b is divided by 52.
2
Suppose -r + 0*c - 4*c = -4, 4*c = 2*r - 44. Suppose w - 39 = -3*g - 55, -5*g - 24 = w. Calculate the remainder when (24/15)/((-1890)/475 - w) is divided by r.
12
Suppose 48*a + 15*a = 27153. Calculate the remainder when a is divided by 53.
7
Suppose 5*v - 1092 = -l, -4*v - 3*l = 195 - 1062. Let x = -168 + v. Calculate the remainder when x is divided by 18.
15
Let u(j) = j**3 - 29*j**2 + 87*j - 78. What is the remainder when 4835 is divided by u(26)?
155
Suppose 5*c + 3*x - 1923 = 0, -462*x + 459*x = -c + 363. What is the remainder when c is divided by 349?
32
Let u(a) = -35 + 11*a - 7 + 3. Let g be u(7). Let t = 48 + g. What is the remainder when t is divided by 22?
20
Let x = -5112 - -5278. What is the remainder when x is divided by 65?
36
Let u be (-2*7)/((-356)/348 - -1). Let r = -597 + u. Calculate the remainder when 107 is divided by r.
11
Calculate the remainder when 2/(-4)*((-5)/15 - 77648/48) is divided by 282.
245
Let u = -520 - -879. Suppose 2*i + u = -j + 43, 3*j - 5*i = -893. Calculate the remainder when (-1)/(5 + j/61) is divided by 21.
19
Suppose 17*o = 8*o + 513. Let a = -156 + 155. What is the remainder when o is divided by ((-2)/11)/a + (-4716)/(