e 103*h - 2316 = 47*h + 44*h. Calculate the remainder when h is divided by 19.
3
Suppose 2*v - 200 = -4*k, -3*v - 224 = -4*k + v. Let b = -33951 + 33973. What is the remainder when k is divided by b?
8
Let n(x) = -x**2 + 13*x + 72. Let b be 3/(-6)*-20 - -6. Suppose 0 = -5*a - 9 + 34. Calculate the remainder when n(b) is divided by a.
4
Let y(g) = -g**2 + 8*g + 38. Let a be y(11). Suppose -a*l - 7 = -32, -q + 26 = 3*l. Calculate the remainder when 87 is divided by q.
10
Suppose -w - 4*w - 90 = -5*g, -3*g - w = -50. Suppose 59 = 3*y - 118. What is the remainder when y is divided by g?
8
Let h be (-55)/(-2) + (-6)/12. Suppose 0 = -23*k + h*k - 696. Suppose -2*t + k = -74. What is the remainder when t is divided by 7?
5
Suppose -2*u + 4*y = -170, 0 = 1363*u - 1364*u - y + 88. What is the remainder when 596 is divided by u?
74
Suppose -28*w + 13960 = 5*b - 33*w, 3*w - 13968 = -5*b. Suppose -4*p + b = 53*p. Calculate the remainder when p is divided by 24.
1
Let h(y) = 86*y - 33*y + 3 + 41 - 6. Calculate the remainder when h(6) is divided by 21.
20
Calculate the remainder when 1744 is divided by (((-1358)/3)/7)/(48/(-72)).
95
Suppose -625 = -9*m + 86. Let x(t) = 2*t**2 - 8*t - 7. Calculate the remainder when m is divided by x(-3).
9
Suppose -6*d + 304 = -2090. Let r = 112 + -45. What is the remainder when d is divided by r?
64
Let g(j) = 1071*j - 180652. Let i(y) = -3*y**3 + y**2 - 1. Calculate the remainder when g(169) is divided by i(-3).
80
Let s(a) = -5*a**2 + 71*a - 7. Calculate the remainder when s(6) is divided by 111.
17
Suppose -3*d + 4*q - 2 + 151 = 0, d = 5*q + 57. Let g(k) = 6*k + 129. Calculate the remainder when g(0) is divided by d.
35
Let s(j) = -j**3 + 12*j**2 - 3*j. Let m be s(10). Let q = 181 - m. What is the remainder when 29 is divided by q?
7
Calculate the remainder when 12748 is divided by ((-18)/10 - -2)/(63/7875).
23
Suppose -185*i = 4*c - 182*i - 568, 710 = 5*c + 5*i. Calculate the remainder when c is divided by 58.
26
Let m be ((-1)/2)/(1/(-10)). Suppose -m*y = 4*k - 62, 4*y - 34 = k - 3*k. Suppose 793 = -7*c + 20*c. Calculate the remainder when c is divided by k.
9
Suppose 11614 - 30606 = -590*t + 16998. Calculate the remainder when (-3)/6 + (-954)/(-4) is divided by t.
55
Suppose 0 = 2*l - l - 21. Let d(i) = -34 + 10 - 111 + 26*i. What is the remainder when d(9) is divided by l?
15
Suppose 12 = -z + 4*d - 4, -3*d = -3*z - 12. Suppose -m - 82 = -2*r, 2*r + 3*r - 3*m - 203 = z. Calculate the remainder when 99 is divided by r.
13
Suppose 0 = -2*q - 3*q - 0*q. Suppose q = 5*c + c - 6. What is the remainder when (-1914)/(-36) + c/(-6) is divided by 27?
26
Let l = 75 + 27. Suppose 4*q - 2*q - 4*w = 56, 4*w - 34 = -3*q. Suppose -440 = -q*y + 190. Calculate the remainder when l is divided by y.
32
What is the remainder when 264 is divided by (954/(-81) - -12) + (-590)/(-18)?
0
Suppose -5*k + 2*v + 1857 = 0, 3*k - 1103 = -1763*v + 1767*v. What is the remainder when k is divided by 202?
171
Suppose -5*l = -52 - 103. Suppose 0*y - 5*r = y - 65, 0 = r - 6. Let x = y - l. What is the remainder when 14 is divided by x?
2
What is the remainder when (43099/(-2632))/((-2)/592) is divided by 4?
3
Let t(g) = 6*g**2. What is the remainder when 3 - ((-2)/3 + (-178)/3) is divided by t(2)?
15
Suppose -94*f + 83*f = -44. Suppose -4*w = f*o + o - 614, 4*o - 4*w - 520 = 0. What is the remainder when o is divided by 33?
27
Let l(z) be the first derivative of z**3/3 - z**2/2 + z - 62. What is the remainder when 160 is divided by l(-2)?
6
Let i(s) = -134*s + 3969. What is the remainder when 3714 is divided by i(25)?
0
Let t(d) = 9*d**2 - 9*d + 4. Let y be t(6). Suppose 5*f - 335 = -5*u, -10 + y = 4*f + 5*u. Calculate the remainder when f is divided by 756/77 + 5 + 2/11.
11
Suppose 0 = 2*b + 2*a - 64, 2*b + a + 0*a - 62 = 0. Let v(s) = 43*s - 237. Calculate the remainder when v(18) is divided by b.
27
Suppose 40*k - 27 - 773 = 0. What is the remainder when 57 is divided by k?
17
Calculate the remainder when 9041 is divided by (10 - 18/45*-5) + 189.
197
Suppose -21 = -6*d + 33. Let n = -36 - -223. Calculate the remainder when n is divided by d.
7
Let x(v) = -271*v - 3243. Calculate the remainder when 3140 is divided by x(-12).
8
Suppose 7*i = -468 + 2036. Let s = i + -106. What is the remainder when s is divided by 26?
14
Let a = -4594 + 4640. Calculate the remainder when 413 is divided by a.
45
Let a(o) = -o**2 + 74*o + 1056. What is the remainder when a(80) is divided by 78?
30
Let l = -16572 - -16592. Calculate the remainder when 5076 is divided by l.
16
Calculate the remainder when (281 - 5/15*-3)*(-8)/(-12) is divided by 51.
35
Let v(k) = -k**2 - 102*k - 1132. What is the remainder when 701 is divided by v(-88)?
1
Suppose 0 = -3*w - p + 66 - 31, 5*w - 4*p - 30 = 0. Let m(n) = n**3 + 6*n**2 - 4*n - 7. What is the remainder when m(-6) is divided by w?
7
Let y = 74 + -53. Suppose 5*i + 155 = 4*i. Let c = i - -210. What is the remainder when c is divided by y?
13
Let m = 67 - 50. Suppose -5*w - 77 + 22 = -5*u, -5*u - m = w. Let r(v) = -v**3 - 13*v**2 - 14*v + 5. Calculate the remainder when r(w) is divided by 10.
9
Let q = 4020 - 6240. Let c = -1320 - q. What is the remainder when c is divided by 53?
52
Let n(i) = -9*i + 277. Calculate the remainder when 1193 is divided by n(25).
49
Suppose 2*w + 1016 = 3*n, -2*n - 3*w + 352 = -308. Let h = 358 - n. Calculate the remainder when 37 is divided by h.
15
Let s be 2/13 - (-903)/(-39). Let n = s - -68. What is the remainder when 179 is divided by n?
44
Let m(r) = -13*r - 297. Let z be m(-23). Suppose 0 = -4*d - 20, -3*d = z*s - 0*d - 21. What is the remainder when 42 is divided by s?
6
Suppose 130*j - 93483 + 7143 = 17660. Calculate the remainder when j is divided by 201.
197
Let q(y) be the second derivative of y**4/12 + 2*y**3 - 71*y**2/2 + 19*y. Let g = 103 - 69. Calculate the remainder when g is divided by q(-17).
6
Let w(i) = 10*i**2 + 27*i - 4. Let h be w(-3). Let y(a) = -a**3 + 9*a**2 - 17*a + 5. What is the remainder when 125 is divided by y(h)?
5
Let y(w) = 6*w**2 + 5*w - 6. Let c be y(1). Suppose -i = -c*i + 32. Suppose -10*t + 172 = -48. What is the remainder when t is divided by i?
6
Let u(m) = 3*m + 55. Let t be u(-17). Suppose d + w = 1, -5*d - 4*w + 45 = -9*w. Calculate the remainder when (48/(-14))/(t/(-14)) is divided by d.
2
Let n = -15253 - -15345. What is the remainder when 1836 is divided by n?
88
What is the remainder when 864 + 1*143/(-11) is divided by 268?
47
Suppose 3*h - 9*h + 78 = 0. Suppose -3*q + 3*u = -99, -q - 2*q + 113 = 4*u. Let k = q - h. Calculate the remainder when 64 is divided by k.
20
Let s be ((-1)/4)/((-25)/(-100)). What is the remainder when (-1)/1*(88 + -5)*s is divided by 7?
6
Suppose 2*u + 0*u - 106 = 0. Suppose 8*f - 2*s - 102 = 0, f - 34 = 3*s - 35. What is the remainder when u is divided by f?
11
Let x(p) = 2*p**2 + 2*p + 488. Let i be x(0). Let m = -151 + i. Calculate the remainder when m is divided by 17.
14
Suppose -3*h + 49 + 11 = 0. Let s = -3726 - -3777. Calculate the remainder when s is divided by (-4 - -5 - 1) + h.
11
Let l = 207 - 145. Let y = 181 + -178. Suppose 0 = -m + v + 15, -y*m + 2*v = 3*v - 49. What is the remainder when l is divided by m?
14
Let k(v) = -2*v**3 + 3*v**2 - 21*v - 43. What is the remainder when k(-4) is divided by -11*-3*4/6?
19
Let p(x) = 3*x + 1. Let h(j) = -j**3 - 19*j**2 + 10*j - 62. Let w be h(-20). Suppose 134*d = w*d - 116. What is the remainder when d is divided by p(5)?
13
Suppose 0 = f - 32 + 5. Suppose 8*m - 11*m - f = 0. What is the remainder when 27 is divided by m/(-3 + 2) + -1?
3
Let s = -1004 - -1409. Suppose 122*b - s = 117*b. What is the remainder when b is divided by 37?
7
Suppose 173 + 682 = n. Let k = n + -831. Suppose 0 = -5*b + 5*g + 30, 6*g - g = -5*b + 60. What is the remainder when k is divided by b?
6
What is the remainder when 2844 is divided by (-4 - -10) + 173 + 11?
184
Let h(g) = g**3 - g**2 - 14*g + 7. Let a be h(-7). Let x = 300 + a. What is the remainder when 115 is divided by x?
11
Let g be 20/(2 + -6) + 1. Calculate the remainder when (-3 - (-41)/g)*(-8)/2 is divided by 14.
11
Let k(h) = -h**2 + 17*h - 40. Let s be k(15). Calculate the remainder when ((-450)/40)/(s/48) is divided by 14.
