1.
7
Suppose 326 = 109*y - 6323. Calculate the remainder when 2988 is divided by y.
60
Suppose 64*u - 57*u = 364. Let d = u - 38. What is the remainder when 110 is divided by d?
12
Suppose -4*x - 3*x = 0. Suppose x = 5*j - 25 - 5. Let i(z) = -2*z**2 + 15*z + 8. Calculate the remainder when i(7) is divided by j.
3
Let z = -935 + 1013. Calculate the remainder when z is divided by 8.
6
Let w be (-1)/(-4) - (-51)/4. Let h = 3880 + -3860. What is the remainder when 1*9*w*1 is divided by h?
17
Let g(l) = -2*l**2 + 31*l + 12. Suppose -3*b = -5*b. Suppose 5*x - 3*x - 30 = b. What is the remainder when g(x) is divided by 15?
12
Let w(n) = 5*n**2 + 2*n + 35. Let a be w(-5). Calculate the remainder when 56/112 - (a/(-4) + 1) is divided by 2.
1
Suppose -u = 3*u + 420. Let s(m) = -m**3 - 17*m**2 - 58*m - 77. Let g be s(-14). Let d = u + g. Calculate the remainder when 124 is divided by d.
40
Suppose 164 = 7*t + 1459. Let l = t + 197. What is the remainder when 83 is divided by l?
11
What is the remainder when (((-612)/10)/(-1))/(576/13440) is divided by 62?
2
Let u(g) = -g**2 - 28*g. Calculate the remainder when 353 is divided by u(-4).
65
Let w = 26 - -9. Let b(t) = -t + 197. Let y(z) = z**3 - 10*z**2 + 15*z + 33. Let r be y(8). Calculate the remainder when b(r) is divided by w.
32
Let z be 0 + (4 - 5) - -4. Suppose -3*x = -4*u - 247, 0*x - z*u = x - 78. Suppose 0 = -7*v + 45 + x. What is the remainder when 68 is divided by v?
14
Let d(p) = p**3 - 41*p**2 + 123*p - 38. What is the remainder when d(38) is divided by 6?
4
Let i(p) = p**2 - 7*p - 15. Let y(h) = 35*h - 124. Calculate the remainder when i(-6) is divided by y(5).
12
Let g(n) = -n**3 + 10*n**2 + 4. Let i be g(10). Suppose -68 = -8*h + i*h. What is the remainder when 31 is divided by h?
14
Suppose -2 = -3*z + 10. Suppose 3 = -p + 1, 5*p - 342 = z*i. Let w = 119 + i. What is the remainder when w is divided by 27?
4
Let u be (-2)/(-3)*(-309)/(-2) + -3. Let q = 122 - u. What is the remainder when q is divided by 14?
8
Let n(b) = -b**2. Let q(m) = -15*m**2 - m + 1. Let a(w) = n(w) - q(w). Calculate the remainder when 28 is divided by a(-1).
4
Let t(m) = -m**2 - 9*m + 5. Let a be t(-9). Let s(w) be the first derivative of 5*w**2 - 36*w - 82. Calculate the remainder when 51 is divided by s(a).
9
Let o(d) = -9*d + 3331. What is the remainder when o(-119) is divided by 90?
82
Suppose -2*t + 45 = -5*x - 64, 2*t + 4*x = 136. Suppose 0 = 5*z - 2*g - 191 + 48, 4*g - t = -2*z. What is the remainder when z is divided by 10 + 2/(-4)*0?
9
Let n = 27 - 16. Let d = -1074 + 1622. Suppose 0 = -17*r - 4 + d. Calculate the remainder when r is divided by n.
10
Let w(b) = 331*b. Let n be w(2). Suppose -3*i - 3*y = 110 - n, -184 = -i + y. Calculate the remainder when i is divided by 300/12 - (3 + (-2 - 7)).
29
Let i = 2186 + -2154. What is the remainder when 1405 is divided by i?
29
Let b(c) = c**3 + 37*c**2 + 71*c + 37. Let d be b(-35). Suppose -3*s - d*s + 68 = 3*x, 2*x - s - 41 = 0. Calculate the remainder when x is divided by 14.
7
Let h(m) = -m**2 + 2*m + 75. Let g be h(-8). Calculate the remainder when (((-100)/(-1))/(-1))/(g/10) is divided by 43.
28
Let x(p) = 11*p**2 - 2*p + 1. Let q(f) = -f**3 + 10*f**2 - 13*f - 3. Let l be q(6). Let v = -60 + l. What is the remainder when x(1) is divided by v?
1
Suppose 0 = 3*a - 3*d - 2349, 4*d + 2343 = -a + 4*a. Calculate the remainder when a is divided by 131.
3
Let r(j) = -3*j - 5. Let p(q) = -3*q**2 - 58*q - 156. What is the remainder when p(-15) is divided by r(-5)?
9
Suppose 25*i - 28*i + 27 = 0. Calculate the remainder when 672 is divided by i.
6
Let m = -446 + 412. Let t(l) = l**3 + 32*l**2 - 70*l + 14. Calculate the remainder when t(m) is divided by 8*(-2 + (-22)/(-4)).
26
Let l = -11489 - -11865. What is the remainder when 1238 is divided by l?
110
Suppose -213 = -6*s + 21. Suppose 3*z - 52 = -5*d, 0*z - 66 = -4*z - 5*d. What is the remainder when s is divided by z?
11
Let y(s) = 4*s**2 - 11*s - 37. Let v be y(-11). Let l = -560 + v. Calculate the remainder when 14 is divided by l.
6
Let v(d) = -d**2 - 13*d - 35. Let x be v(-8). Suppose 5*a = -10, 3*k = -x*a + 3*a + 194. Calculate the remainder when k is divided by 3.
0
Let a(w) = w**3 - 24*w**2 + 102*w - 126. Let b = 85 + -50. What is the remainder when b is divided by a(19)?
0
Let b(l) = -l + 38. Let j = -6339 - -6493. What is the remainder when j is divided by b(12)?
24
Let s = -304 + 300. Calculate the remainder when 88 is divided by (-24)/s - (5 + -8).
7
Calculate the remainder when 259 is divided by 103 + -26 - (-13)/(-1).
3
Suppose 0*x = x - 27. Calculate the remainder when (22/(-572)*-13)/((-2)/(-212)) is divided by x.
26
Suppose 0 = -5*m + 3*y + y - 129, 0 = 3*m + 2*y + 73. Suppose 280 = 11*a - 193. Let z = m + a. What is the remainder when 29 is divided by z?
11
Calculate the remainder when (27 - (-72)/(-6))*656/20 is divided by 38.
36
Let y be 45 - (-6 - (-8 - 1)). Let i = y + -12. Calculate the remainder when i is divided by 6.
0
Let v = -43114 + 43233. Calculate the remainder when 3921 is divided by v.
113
What is the remainder when (1/7)/(9/(-698355)*-15) is divided by 57?
55
Suppose 0 = -4*i + o + 15083, -2*i + 5538 = 5*o - 2009. Calculate the remainder when i is divided by 51.
48
What is the remainder when 668 is divided by 462/56 + (-14)/56?
4
Suppose -24*z - 53 = -25*z + 4*x, 0 = 2*z + 3*x - 106. Calculate the remainder when 839 is divided by z.
44
Suppose 534*q = 550*q - 416. Calculate the remainder when 1711 is divided by q.
21
Suppose -2156*z + 7860 = -2151*z. Calculate the remainder when z is divided by 35.
32
Let o = 172 + -102. Suppose o - 140 = -5*z. Suppose -z*l + 9*l = -310. Calculate the remainder when l is divided by 32.
30
Let b be -283*(27/(-21) - 16/(-56)). Calculate the remainder when ((-16)/(-6))/4 + b/3 is divided by 12.
11
Suppose 0 = -4*z - 2*d + 620, -5*z - 2*d + 5*d + 786 = 0. Suppose -9*t = -186 - z. Suppose -7*j + 5*j + 220 = 0. What is the remainder when j is divided by t?
34
Suppose 24408 = 46*r + 14*r - 15132. Calculate the remainder when r is divided by 65.
9
Let j(y) = 53*y**3 - 3*y**2 - 3*y - 1. Let q be j(-1). What is the remainder when q/(-18) + 174 + 2 is divided by 20?
19
Let t = 1750 - 1664. Suppose 4*p - t = -c, 3*p + 11*c - 72 = 14*c. What is the remainder when 292/5 - (-2)/(-5) is divided by p?
14
Suppose -2*u + 136 = u - p, u - 3*p = 32. What is the remainder when (-1794)/(-10) + (39/15 - 3) is divided by u?
38
Let b be (-10 - 209)*(-4)/(-6)*-2. Suppose 4*a - b = -4*l, 5*l + 118 = -0*a + 2*a. What is the remainder when a is divided by 12?
9
Suppose 32272 = 198*b - 6338. Calculate the remainder when b is divided by 127.
68
Suppose -828*v + 1066*v - 247996 = 0. Calculate the remainder when v is divided by 335.
37
Let y = -289 - -302. Calculate the remainder when 896 is divided by y.
12
Let l(v) = -v**3 + v**2 - v + 15. Suppose 60*a - 4 = 59*a. What is the remainder when (22 + a + -4)*2 is divided by l(0)?
14
Let m(s) = 243*s - 2044. What is the remainder when 1555 is divided by m(10)?
11
Let b(i) = -81*i**3 - 3*i**2 + 19*i + 21. What is the remainder when 6879 is divided by b(-1)?
79
What is the remainder when 84 is divided by 2/(-8) - (-9204)/208 - -7?
33
Let i be ((-18)/12)/(3/(-6)). Let r be (-24)/9*(-9 + i - -3). Let p = r - -29. Calculate the remainder when p is divided by 12.
1
Let y = -84 + 92. Suppose y*q - 112 = 4*q. What is the remainder when q is divided by 9?
1
Let c(r) = 3*r + 3. Let z be c(2). Suppose -96 = i - z*i. Calculate the remainder when i*(15/9 + 3) is divided by 20.
16
Suppose 0 = -0*p - 4*p + 312. Suppose l = 2*a + 26, 2*l - 58*a = -55*a + 57. What is the remainder when l is divided by (1/3)/(2/p)?
10
Suppose -a + 5*r + 7475 = 1391, -2*a + 4*r + 12198 = 0. What is the remainder when a is divided by 30?
19
Let s(k) = 2*k**2 + 78*k - 185. Calculate the remainder when 127 is divided by s(-42).
60
Suppose 405*l - 414*l = -27. Calculate the remainder when l + 60 - (-10 + 13) is divided by 25.
10
Let n(z) = 277*z**2 - 3 + 13 - 24*z - 141*z**2 - 135*z**2. Suppose -5*f + 10 = 6*l - l, 0 = f + 4. Calculate the remainder when n(25) is divided by l.
5
Suppose 0 = -3*a + 2*a + u + 879, u + 3504 = 4*a. Calculate the remainder when a is divided by 2