ppose -2*y = -4*v + 182, -7*y + 3*y - 35 = -v. What is the remainder when 937 is divided by v?
44
Let t(a) = 11*a**2 - 148*a + 295. Calculate the remainder when 9113 is divided by t(2).
40
Suppose a - 4*j - 415 = 0, -2*j - 1225 = -0*a - 3*a. What is the remainder when a is divided by ((-22236)/(-981))/(-2 - 7/(-3))?
67
Let u = -20087 + 20101. What is the remainder when 1046 is divided by u?
10
Let k = 463 + -507. Let w = -6 - k. What is the remainder when 128 is divided by w?
14
Suppose 2*v - 1665 = a - 11438, -2*a - 5*v = -19546. Calculate the remainder when a is divided by 47.
44
Suppose 3*u + 7528 = -4*s - 0*u, -3*s - u - 5651 = 0. Let x = -1284 - s. Calculate the remainder when x is divided by 43.
42
Suppose 53*r - 3357 = 1519. What is the remainder when r is divided by 52?
40
Suppose 2*d - 4*s - 18 + 4 = 0, -2*d + s = -8. Suppose -8*m = -d*m - 850. Suppose 3*b + m = 8*b. What is the remainder when b is divided by 18?
16
Let g(n) = n**3 - 5*n**2 + 4*n - 4. Let x be g(4). Let i = -174 - -173. What is the remainder when ((-1)/((-5)/50))/(i/x) is divided by 25?
15
Let b = -295 + 295. Suppose b*n - 10 = -n + 2*u, -10 = -2*u. Calculate the remainder when 34 is divided by n.
14
Let v(s) = -3*s**3 - 2*s**2 + 23*s + 20. Let q be v(-5). Suppose 2*n - 184 = -4*x, 5*x - 2*n - q = 3*n. What is the remainder when 367 is divided by x?
45
Let p(n) = n**3 + 11*n**2 + 8*n + 6. Suppose 3*w = 4*w - 30. Suppose 0 = 2*d + 3*r + 5, 2*r - w = 2*d - 0*r. What is the remainder when p(d) is divided by 10?
6
Let g = 14267 - 14208. Suppose 5 = 3*v - k, 5*k + 0*k = -3*v + 29. Suppose 3*z = -u + 21, -u = z - v*z - 11. What is the remainder when g is divided by u?
14
Suppose -559 = -3*k - 4*m, -4*k + 2*m = -64 - 696. Suppose -176*i - 39 = -k*i. Calculate the remainder when 70 is divided by i.
1
Let s(t) = -t**3 - 33*t**2 - 26*t + 4795. Let a(n) = n + 15. Calculate the remainder when s(-19) is divided by a(0).
10
Let s be 114/4*4/(-6). Let p = s - -43. Let f(d) = d**3 + 8*d**2 - 8*d - 23. What is the remainder when f(-8) is divided by p?
17
Let u = -617 + 621. Suppose -x - 6 = 5*o, -33 - 42 = -5*x - u*o. Suppose 0 = -2*v + 28 - 10. What is the remainder when x is divided by v?
1
Suppose 15 = w - 2*v, v - 38 + 32 = 0. What is the remainder when 27 is divided by w?
0
Let n(g) = -70 + 12 + 19 + 13 - 4*g. Let u be -6*((-1)/2 - -3). What is the remainder when n(u) is divided by 10?
4
Suppose -2*i - 39 - 26 = -u, -4*u = -3*i - 235. Suppose 0 = 18*d - 3*d - 1080. Suppose -d - 33 = -7*r. Calculate the remainder when u is divided by r.
10
Suppose -18*m + 23*m = 170. Let s = 26 - m. Let j = s - -22. Calculate the remainder when 41 is divided by j.
13
Let t = 34 + -282. Let s = -235 - t. What is the remainder when 50 is divided by s?
11
Let y(r) = 132*r**2 - 32*r + 13. What is the remainder when y(5) is divided by 41?
37
Suppose -23*y + 643*y = 27*y + 58114. Let b(d) = -d**2 - 7*d - 6. What is the remainder when y is divided by b(-4)?
2
Suppose -1638 = -2*r + 7*r - 23*r. What is the remainder when 311 is divided by r?
38
Let a = 288 - 232. Suppose -56 = 49*d - a*d. What is the remainder when 14 is divided by d?
6
Let k = -2183 - -3743. Calculate the remainder when (38/(-8) + 4)/((-6)/k) is divided by 51.
42
Suppose -3*i = 2*i + 5. Suppose 8*p - 422 + 150 = 456. Calculate the remainder when (p/(-78))/(i/6) is divided by 4.
3
Let l = -21 - -33. Let h be (l/(-5))/(4/30). Let u = -11 - h. What is the remainder when u is divided by 5?
2
Let t(b) be the third derivative of -b**5/60 + 19*b**4/24 + 11*b**3/3 + 223*b**2. Calculate the remainder when t(15) is divided by 56.
26
Suppose 61*w - 30941 = 20482. Calculate the remainder when w is divided by 297.
249
Let i = 1021 - 990. Let j = -1 - -10. What is the remainder when (8/(-2))/(i/((-4743)/36)) is divided by j?
8
Let y be (-10)/8 + 3/12 + 3. Suppose -202 = -y*t + 5*o, -3*o - 404 = 2*t - 6*t. What is the remainder when t is divided by 34?
33
Suppose 5*p - 11 - 44 = 0. Let d(g) = 8*g**2 - 26*g - 573. What is the remainder when d(11) is divided by p?
10
Let k(a) = -39*a**3 + 19*a**2 + 5*a + 8. What is the remainder when k(-3) is divided by 253?
205
Suppose -16*a - 23862 + 24214 = 0. Calculate the remainder when 7676 is divided by a.
20
Let l(y) = 180*y + 574. Calculate the remainder when 400 is divided by l(-3).
26
Let x(a) = -a**3 + 17*a**2 + 69*a - 30. Let g(q) = -2*q - 1. Let v(j) = 2*g(j) + x(j). What is the remainder when v(19) is divided by 69?
67
Suppose 0 = -4*k - 5*q + 80, k - 4*q - q = 45. Calculate the remainder when -3 + (-3)/(-2) + (-258)/(-4) is divided by k.
13
Let j = -289 + 413. Let u = j + -91. Calculate the remainder when u is divided by 2*1/(-1) - -21.
14
Suppose d - 10*d = 27. Let l be -2*61*(8 + d)/(-10). What is the remainder when (l/2)/((-1)/(-2)) - 2 is divided by 30?
29
Suppose 22 = 3*r - 5. Suppose -r = -v - 5. Suppose 3*a - 2 - v = 0. Calculate the remainder when 11 is divided by a.
1
Let v(g) = -193*g**3 - g**2 + g + 1. Let q be v(1). Suppose -44*l = -l - 301. What is the remainder when (-5 - -1) + q/(-8) is divided by l?
6
Suppose -109*r - 69*r = 480 - 3328. Calculate the remainder when 25 is divided by r.
9
Suppose 3*n + 324 = g - 4*g, g = -4*n - 120. Let j = -80 - g. Calculate the remainder when 44 is divided by j.
20
Let p(b) = -b**2 - 15*b - 51. Let c be p(-6). Suppose -30 = -c*f - 0*u + 3*u, 0 = -f + 4*u - 2. What is the remainder when 97 is divided by f?
13
Let z be 8 - (5 + -4)*4. Suppose -4*k + z*b + 260 = 0, -4*b = 5*k - 190 - 153. Suppose k = 2*r - 121. What is the remainder when r is divided by 16?
14
Suppose -17*k - 4682 = -6178. Calculate the remainder when 523 is divided by k.
83
Suppose -5*g + 589 = 372*p - 369*p, -3*g = 3*p - 585. Calculate the remainder when p is divided by 12.
1
Let p = -19 - -42. Let n = -18793 - -18836. What is the remainder when n is divided by p?
20
Suppose 2*c + i = -99, -3*c + i - 6*i = 145. Let s = 62 + c. What is the remainder when 3/(-3 - -9)*42 is divided by s?
9
Let u = 104 + -67. Suppose 4*t = d + 48, 2*d = -5*t + 10 + u. Suppose -166 = -2*b - r, 1162 = 3*b - 4*r + 913. What is the remainder when b is divided by t?
6
Suppose a - 5*a = 3*j - 18, 2*a - j = 4. What is the remainder when 166 is divided by ((-605)/(-21) + 2/(-14))*a?
80
What is the remainder when ((-7554)/(-8))/((-28)/(-240) + 12/90) is divided by 27?
24
Suppose -4*d + 118 = -18. Suppose 497*x - 3227 + 2789 = 8508. Calculate the remainder when d is divided by x.
16
Let l(x) = 8*x**3 - 9*x**2 + 58*x - 10. Calculate the remainder when l(6) is divided by 76.
70
Suppose 0 = -4*i - 0*i - 192. Let g = i + 52. Suppose g*a - 52 = -c, 3*c + 26 = a - 0*c. What is the remainder when 55 is divided by a?
13
Let o(b) = -b**3 + 6*b**2 - 8*b - 4. Let a be o(4). Let n be (-8)/5*-20*(-2)/a. Suppose -n*d = -22*d + 30. Calculate the remainder when 23 is divided by d.
3
Let c = 35 - 26. Calculate the remainder when (-2)/((1/(-2))/1) is divided by 1*c/(-6)*(-8)/6.
0
Suppose -3*y + 7*h = -877, -5*y - 86*h + 91*h = -1435. Calculate the remainder when y is divided by 70.
3
Suppose -30*c + 9*c + 819 = 0. Let j = -57 - -129. Calculate the remainder when j is divided by c.
33
Let w = 154 - 140. Let k = 47 + -49. What is the remainder when k/7 - 2256/(-56) is divided by w?
12
Let w(z) = z + 1. Let j(d) = 6*d - 39. Let n(m) = -j(m) - 3*w(m). Let b be n(6). What is the remainder when 61 is divided by 27/1 - 90/b?
29
Let w = -138 + 143. Suppose -270 = -2*n - 4*i, 3*i - 639 = -w*n + 5*i. What is the remainder when n is divided by 33?
30
Let n = 14636 - 14382. Calculate the remainder when n is divided by 251.
3
Suppose -4*d = 123*c - 121*c - 260, 3*c - 390 = 5*d. Calculate the remainder when 1083 is divided by c.
43
Suppose 2*c = -4*z + 706, -c - 2*c - 3*z + 1050 = 0. Let g = -336 + c. Suppose -3*l - l + 64 = 0. What is the remainder when l is divided by g?
5
Suppose -l = -13*q + 18*q - 1513, 0 = 3*l - 4*q - 4558. What is the remainder when l is divided by 56?
6
Let z(w) = w**3 - w**2 - 49*w - 47. What is the remainder when 310 is divided by z(-5)?
22
Let h = 25 + -25. Suppose -w + 3*k + 177 = -h*w, -692 = -4*w - 4*k. Let m = -91 + w. Calculate the remainder when m is divided by 28.
27
Let a(k) = 5*k**2 - 104*k + 406. Calculate the