e remainder when d is divided by 45.
33
Calculate the remainder when -3*15/10*(-5 + 1505/(-21)) is divided by 12.
9
Let x(y) = 15*y**2 - y**3 - 8*y**2 + 4 + 6 + 3*y. Calculate the remainder when x(7) is divided by (3 - ((-44)/12 + 3))*3.
9
Let c = -60 - -64. Suppose 0 = -k - c*k + 145. Suppose -13*p + 720 = -1139. What is the remainder when p is divided by k?
27
Let x(h) = h**3 - 2*h**2 - 5*h - 3. Suppose 272*j - 2346 + 714 = 0. What is the remainder when x(5) is divided by j?
5
Suppose 3*o + 139 + 2339 = 3*d, -3298 = -4*d + o. Calculate the remainder when d is divided by 66.
32
What is the remainder when 24596 is divided by 105 - 81 - (-2 + -4)?
26
Let g = -1818 - -1881. Calculate the remainder when 374 is divided by g.
59
Let f = -406 - -412. What is the remainder when (-4)/f + (-625)/(-15) is divided by 13?
2
Let t(y) = 4*y - 69. Let d be t(0). Let w = d + 74. Suppose 19 = x + 2*h, 2*x - w*x - h = -52. Calculate the remainder when 65 is divided by x.
14
Suppose 0 = -5*s - 3460*p + 3457*p + 461, -218 = -2*s + 3*p. What is the remainder when 297 is divided by s?
6
Suppose 0 = -h + 4 + 6. Suppose -5*b + 2*l - 1 = 0, -2*b - 5*l + 7 + h = 0. Let a(f) = -2*f**2 + 214*f - 3059. What is the remainder when a(17) is divided by b?
0
Let s = 9480 + -8999. What is the remainder when s is divided by 126?
103
Suppose 3*k - 974 = r, 3*k - 37 = 4*r + 952. Let w = -287 + k. What is the remainder when 66 is divided by w?
30
Suppose z = 2*m - 150, 3*m = -3*z + 77 + 130. Suppose 0 = -202*u + 33025 + 39695. What is the remainder when u is divided by m?
68
Let m = -342 - -358. Suppose 5*o + 104 = -4*s + 656, 0 = 4*o + m. Calculate the remainder when s is divided by 29.
27
Let m(f) = -f + 23. Let i be m(23). Suppose i*x - 108 = -6*x. Calculate the remainder when 65 is divided by x.
11
Suppose c + 4*d = 6*c + 583, -5*c = d + 598. Suppose 0 = -132*v + 129*v + 405. Let m = v + c. What is the remainder when m is divided by 7?
2
Suppose 103 = -9*j + 1939. Let m(n) = 72*n - j - 11*n + 208. Calculate the remainder when m(2) is divided by 26.
22
Let d(j) = j**2 + 18*j - 305. Calculate the remainder when 55 is divided by d(-29).
13
Suppose -50*l + 19582 = -26154 - 3864. Calculate the remainder when l is divided by 327.
11
Let f = 357 + -345. Calculate the remainder when 3 + 1134/f + (-15)/(-10) is divided by 12.
3
Let l(y) = -4*y**2 - 148*y - 182. Calculate the remainder when 912 is divided by l(-34).
8
Let a = -42 + 57. Calculate the remainder when (2 - (-273)/12)/(63/168) is divided by a.
6
Suppose -4 = -3*y + u, 5*u - 12 = -0*y - y. Suppose -4*p - 2*d + 462 = 0, -3*p - y*d = -122 - 227. Calculate the remainder when p is divided by 39.
35
Let k = -11 + 37. Suppose 74*i = 68*i. Suppose j - 208 = -4*y + 5*j, i = -y - j + 46. What is the remainder when y is divided by k?
23
Suppose -183*y + 214*y = 217. Calculate the remainder when (-2)/3 - 364/(-6) is divided by y.
4
Suppose -654*f - 364967 + 2916575 = -968220. What is the remainder when f is divided by 1793?
3
Let a(v) = 3*v + 2. Let r(c) = -c**2 + 18*c + 409. What is the remainder when a(15) is divided by r(31)?
5
Let c = 715 + -674. Suppose 0 = -z - 4*l + 26, c = 4*z - 32*l + 27*l. What is the remainder when (18/4)/((-2)/(-8)) is divided by z?
4
Suppose 66*v = 61*v + 4795. What is the remainder when v is divided by 162?
149
Suppose -87*d + 67*d = 105*d - 216000. Calculate the remainder when d is divided by 23.
3
Let k(a) = -a**3 - 18*a**2 - 5*a - 35. Let l = 45 - 46. Let c = l + -17. Calculate the remainder when k(c) is divided by 28.
27
Let j = 142 + -87. Suppose -10*y + j = -115. What is the remainder when 50 is divided by y?
16
Suppose q = -9*c + 13*c - 58, q - 54 = -3*c. What is the remainder when 66 is divided by c?
2
Suppose j - 109 + 107 = 0. Suppose 4*y + j*x = 14, y - 2*y = 2*x - 8. What is the remainder when 23 is divided by y?
1
Suppose 0 = 5*v - 3*k - 1595, -3*v = -36*k + 25*k - 911. Suppose -3*o + 5*o - 24 = 0. What is the remainder when v is divided by o?
10
Suppose -t = 5*j - 307, -3*j = -3*t + j + 826. Suppose t + 1038 = 10*p. What is the remainder when p is divided by 17?
13
Let f(h) = h**3 + 8*h**2 - 3*h - 17. Let j be f(-8). Let n be 12/(-4) - (j + -11). Calculate the remainder when 152 is divided by (-3 - 49)/((-2 + n)*2).
22
Suppose -236*u + 3040 = -196*u. What is the remainder when 4939 is divided by u?
75
Let f be (-22)/(-44)*(0 - -4). Suppose -i - 75 = -5*s, f*i - 6*i + 15 = s. Let z = -3 + 13. What is the remainder when s is divided by z?
5
Suppose -99*l + 97*l + 24 = 0. What is the remainder when 745/12 - 58/696 is divided by l?
2
Let a be 2/(-10) + (-801)/(-5). Suppose u = -4*u - 5*j + a, 151 = 5*u + 2*j. What is the remainder when u is divided by 72/11 - ((-180)/63 + 4716/1386)?
5
Suppose -24*q + 5*q = -15*q - 14748. What is the remainder when q is divided by 41?
38
Let s = -7501 + 8202. What is the remainder when s is divided by 92?
57
Let r = 14610 - 14450. What is the remainder when 1151 is divided by r?
31
Let i = 975 + -911. Let t(p) = p**2 - 20*p + 29. Let r(n) = -n**2 + 21*n - 30. Let c(b) = -6*r(b) - 7*t(b). Calculate the remainder when i is divided by c(10).
13
Let o(m) = 7*m**2 - 11*m - 2. Let r be o(6). Let w = -88 + r. Let g = 4 - -29. Calculate the remainder when w is divided by g.
30
Suppose 6*m - 22 = 122. Let k = -295 - -298. What is the remainder when m is divided by k?
0
Suppose -m + 108 = -5*m. Let y = 21 + m. Let p(o) = -o**3 - 6*o**2 - o + 9. What is the remainder when 44 is divided by p(y)?
14
Let l = -361 - -473. Suppose 12 - 46 = -x. What is the remainder when l is divided by ((-8)/6 - -2)*969/x?
17
Suppose 49*m = 17*m + g + 25924, 4030 = 5*m + 5*g. Suppose 5*k + 179 = 469. Calculate the remainder when m is divided by k.
56
What is the remainder when 15194/7 + 704/(-1232) is divided by 181?
179
Let d = -8 + 13. Suppose -26 + 99 = -2*f - 3*l, 0 = -f - d*l - 19. Let a = 79 + f. What is the remainder when 103 is divided by a?
33
Let o = -225 + 264. Suppose -3*n + 7*w + 213 = 11*w, 2*w = -6. What is the remainder when n is divided by o?
36
Suppose -22*o = -16*o - 54. Suppose 37 - o = 7*h. Calculate the remainder when 69 is divided by h.
1
Let i(g) = -3*g + 130. Suppose -4*k - j + 139 = 0, -19*k - 121 = -23*k + 5*j. Calculate the remainder when 145 is divided by i(k).
5
What is the remainder when 882 is divided by 2*(-2)/1*(-688)/64?
22
Suppose 2*w = 4*f - 16, 3*w + 3 = 3*f - 12. Let q(x) = -9*x**3 - 13*x**2 - 3. What is the remainder when 64 is divided by q(w)?
13
Suppose -4058*k - 9492 = -4063*k + 25203. What is the remainder when k is divided by 13?
10
Let o(y) = y**2 + y + 45. Let p(z) = 34*z - 86. Let h(n) = -14*n + 59. Let d be h(4). Calculate the remainder when o(0) is divided by p(d).
13
Let c(a) = 5*a**2 + 3*a - 1. Suppose -3 = -2*j - 3*r, -3*r - 12 = -7*j + 4*j. Suppose -j + 43 = 4*t. Calculate the remainder when c(-3) is divided by t.
5
Suppose m - 121 = -5*t, -5*t - 118 = 4*m - 242. Calculate the remainder when 178 is divided by t.
10
Suppose -32 = 5*q + 418. Let h = q + 63. Let a(v) = -2*v - 47. Calculate the remainder when 103 is divided by a(h).
5
Let b = -79 + 128. Let h = 5 + b. Calculate the remainder when h is divided by 19.
16
Let j = 159 + -117. Let r = -4287 + 4456. What is the remainder when r is divided by j?
1
Suppose -4*y + 4*b + 826 - 398 = 0, -87 = -y - 4*b. Calculate the remainder when 400 is divided by y.
91
What is the remainder when 104 is divided by 4 + 4 + 3 + 1 + 6?
14
Calculate the remainder when ((-30)/20)/(0 + (-6)/2172) + 4 is divided by 252.
43
Let q(g) = -9*g**2 + 7*g - 12. Let z be q(3). Let h = -58 + 167. Let x = h + z. What is the remainder when x is divided by 20?
17
Let v(b) = -22 - 80*b**3 - 5*b + 40*b**3 + 41*b**3 + 9*b**2. What is the remainder when v(-7) is divided by 24?
15
Let m(q) be the second derivative of -1/6*q**3 + 0 + 139/2*q**2 + 12*q. What is the remainder when m(0) is divided by 35?
34
Let w be 28/4 - 9/3. Suppose -4*c + 301 = b + w*b, 248 = 4*b + 5*c. Suppose -4807 = 5*s - 4962. Calculate the remainder when b is divided by s.
26
Let z(p) = -23*p - 2. Let x = 6093 + -5827. What is the remainder when x is divided by z(-3)?
65
Suppose -41168 = -143*l - 7420. Calculate the remainder when l is divided by 22.
16
