 Let z be l(4). What is the remainder when r(z) is divided by 5?
3
Suppose -37 = -10*s + 43. Let v(f) = 20*f**3 + 2*f**2 - f. Calculate the remainder when v(1) is divided by s.
5
Let b = 44 + -21. Let c = b + 24. Suppose -v - 5*l + 1 = 0, 4*v + v = 2*l + 86. Calculate the remainder when c is divided by v.
15
Let q = -20 - -17. Let l = 32 + q. Suppose 84 = -20*g + 21*g. Calculate the remainder when g is divided by l.
26
Suppose -4*d = 5*c - 403, 2*d - 4*c = -3*c + 191. Suppose -57 - d = -11*f. What is the remainder when 50 is divided by f?
8
Let y = 132 - 64. Calculate the remainder when y is divided by (-14)/(-10)*48/(-168)*-35.
12
Let p(k) = k + 10. Let u be 20 + -1 + (1 - -3). Suppose 2*q - 14 = -4*t, 0*t + 3*q + u = 5*t. What is the remainder when t is divided by p(-7)?
1
Let v = 35 + -35. Suppose v*k = -3*k + 48. Calculate the remainder when 45 is divided by k.
13
Let q = 542 - 423. Calculate the remainder when q is divided by 42.
35
Suppose 4*x = 2*q - 36, 2*q - 5*x = -q + 56. Suppose 0 = 5*g - 12 - 28. Let h = 4 + g. What is the remainder when q is divided by h?
10
Suppose -u + 358 = 5*d + 2*u, 1 = u. Calculate the remainder when d is divided by 13.
6
Suppose 25*a = 8*a + 27 + 1248. Let o(z) = -26*z**3 + z**2 + z. Calculate the remainder when a is divided by o(-1).
23
Suppose 2*n - 5 = 3. What is the remainder when 19/(-76) - 90/(-8) is divided by n?
3
Let z be 4 + 20 + -4 + -3. Let a = z - -2. Suppose 6 = -5*d + 41. Calculate the remainder when a is divided by d.
5
Suppose 4*o + 5*t = -0*o + 18, -10 = -5*t. What is the remainder when o/1 - (-9 + -6) is divided by 10?
7
Let b = 619 + -232. Calculate the remainder when b is divided by 92.
19
Suppose 0 = 8*w - 7*w, 0 = r + 5*w - 12. Calculate the remainder when 538 is divided by r.
10
Let q(t) = 13*t**2 - 33*t + 231. What is the remainder when q(8) is divided by 32?
31
Suppose -669 = -7*t + 262. What is the remainder when t is divided by 15?
13
Suppose 2*l + 5*f = 2*f - 3, -2*l - 4*f = 6. Let h(t) be the second derivative of -t**3/6 - 3*t**2/2 + 7*t. What is the remainder when h(-7) is divided by l?
1
Suppose 0 = -2*c + 3*t - 0*t + 297, -4*t = -3*c + 443. Calculate the remainder when c is divided by 37.
30
Let s(i) = i**3 - 43*i**2 - 136*i - 46. Calculate the remainder when 181 is divided by s(46).
43
Let l = -651 - -1088. Calculate the remainder when l is divided by 10.
7
Let o = -59 - -79. Let f = 33 + -22. Calculate the remainder when o is divided by f.
9
Suppose 3*s - 60 = -3*g, 6*s - 106 = -5*g + 3*s. What is the remainder when g is divided by 7?
2
Suppose 60 = -5*k + 285. What is the remainder when 163 is divided by k?
28
Let q be (37/3)/((-3)/(-9)). Suppose 3*j + 0*t + 57 = 3*t, 3*j + q = -t. Let w = j - -56. Calculate the remainder when w is divided by 9.
6
Suppose 0 = -4*p - 0*p. Suppose 2*b + 7 - 17 = p. Suppose 3*i - 47 = -b*c + 21, 16 = 4*c. Calculate the remainder when 47 is divided by i.
15
Let i = -390 + 425. What is the remainder when i is divided by 3?
2
Suppose -3*c + 51 = -0*b + 5*b, b + 4*c = 0. What is the remainder when 367 is divided by b?
7
Let i = -1563 - -2181. What is the remainder when i is divided by 58?
38
Let o be (24/40)/(3*(-2)/(-90)). Suppose 0 = o*j - 12*j + 102. Calculate the remainder when j is divided by 12.
10
What is the remainder when -14 + 18 + 94/2 is divided by 27?
24
Let f = -118 + 133. Calculate the remainder when f is divided by 6.
3
Let t = 8 + -164. Let l = t + 270. Let v = 81 - 52. What is the remainder when l is divided by v?
27
Let q = 13 + -4. What is the remainder when (-936)/(-29 - -11)*(-2)/(-4) is divided by q?
8
Suppose -147*s = -163*s + 608. Calculate the remainder when 147 is divided by s.
33
Let l = 1202 + -1167. Suppose 21 = 5*a - 9. What is the remainder when l is divided by a?
5
Suppose -2*b - 4*z + 329 = -241, z = 5*b - 1425. Calculate the remainder when b is divided by 24.
21
Suppose 0 = -24*c + 10*c + 1470. Calculate the remainder when c is divided by 180/(-2)*6/(-15).
33
What is the remainder when 344 is divided by (-2)/(20/90)*-19?
2
Let u be (24/(-20))/(6/(-20)). Suppose 2*c - 308 = 4*d, u*c + 4*d - 671 = d. What is the remainder when (-1 - c/4)*-1 is divided by 15?
12
Let o = 906 + -710. Calculate the remainder when o is divided by 34.
26
Calculate the remainder when 29 is divided by 3*((-16)/(-4))/8*10.
14
Suppose -5*i + m + 4 = 0, 2*m = -4 - 4. Suppose -30 = -3*j - 5*k, i*k + 4*k + 10 = j. Suppose 5*u - 6*u = -j. What is the remainder when u is divided by 4?
2
Let l be -4 + (2 + -12 - -1). Let c(z) = z**3 + 13*z**2 - 3*z - 11. Calculate the remainder when c(l) is divided by 6.
4
Suppose -4*b + 2*b = -24. Let f be (-678)/(-12) - 2/4. Suppose 63 = 3*k - i, 0 = 2*k + 5*i + 14 - f. Calculate the remainder when k is divided by b.
9
What is the remainder when (-793)/(-9) + -1*(-6)/(-54) is divided by 51?
37
Suppose 0*c - 3*c = 129. Let x = -20 - c. What is the remainder when 44 is divided by x?
21
Let l(x) = x**2 - 4*x - 131. What is the remainder when l(14) is divided by 4?
1
Let f = 22 - 17. Suppose -3*l = 2*l - 295. Calculate the remainder when l is divided by (-45)/(-75) - (-72)/f.
14
Let n = 108 + 15. What is the remainder when 1104 is divided by n?
120
Let b = 32 + 7. Calculate the remainder when ((-23)/(-3))/(13/b) is divided by 5.
3
Suppose -3*l - 45 = -6*l. Let b = -231 + 304. Calculate the remainder when b is divided by l.
13
Let l(d) = 2*d - 3. Let q be l(8). Let z = q - 16. Calculate the remainder when (-2 + 25/z)*-3 is divided by 8.
7
Suppose 9 = 5*l - 6. Suppose 0*r + 78 = l*r. Calculate the remainder when 127 is divided by r.
23
Calculate the remainder when (3 + -6)/(2*(-18)/14316) is divided by 52.
49
Let p(f) be the third derivative of -f**4/24 + f**3/3 - 16*f**2. Calculate the remainder when p(-10) is divided by 3.
0
Suppose -7*l = -4*j - 3*l + 20, 2*j = -5*l + 3. Suppose 0 = -j*r + r + 12. Let d = 652 - 650. What is the remainder when r is divided by d?
0
Let a(n) = 28*n + 240. What is the remainder when a(-8) is divided by 6?
4
Suppose 12*h = 10*h + 8. Suppose -h = 2*c - 0. Calculate the remainder when 59 is divided by (-5)/(c/(-3) - 1).
14
Suppose 84 = 4*u - 3*s, -3*s - 5 - 31 = -2*u. Suppose 4*z = 4*t + u, -3*z + 2*t + 10 + 10 = 0. What is the remainder when z is divided by 2?
0
Suppose -2*x - 10 = -28. Let s(m) = m**2 - 7*m - 16. Let k be s(x). Suppose k*a = -2*a - 5*d + 17, 17 = 5*a + 2*d. What is the remainder when 3 is divided by a?
0
Let u(r) = -r + 6. Let o be u(5). Suppose 39 = 5*c - o. Suppose -l + c = -10. Calculate the remainder when l is divided by 7.
4
Let p(m) = -9*m - 24. What is the remainder when 105 is divided by p(-6)?
15
Let v(b) = -20*b**2 + 1. Let k be v(1). Let i = k + 69. Suppose -5*h + 25 = -i. What is the remainder when h is divided by 8?
7
Suppose 3*y + 30 = u + 869, -3*u - 1117 = -4*y. What is the remainder when y is divided by 22?
16
Let d(q) = -q**3 - 4*q**2 + 6. Let v be 5/((-15)/(-18)) - 3. Suppose j + j - 5*y - 15 = 0, -26 = -v*j + 4*y. Calculate the remainder when j is divided by d(-4).
4
Suppose 8*i - 4*i = 4*g + 188, 0 = -3*i + 5*g + 139. Suppose -4*l + 26 = 5*a - 22, -4*a - 101 = -5*l. What is the remainder when i is divided by l?
14
Let o = -36 + 51. Calculate the remainder when 22 is divided by 12/(-5)*o/(-6).
4
Suppose 0 = 4*r - 7*n + 2*n + 22, 2*r + n = -18. What is the remainder when (-76)/r - 2/4 is divided by 4?
1
Let r(v) = 18*v**3 - v**2 + v - 1. What is the remainder when (-5)/(10/(-164)) + (-1)/1 is divided by r(1)?
13
Suppose -13*o + 19 = -12*o. Calculate the remainder when o is divided by 7.
5
Suppose -186 = 15*r - 21*r. What is the remainder when 90 is divided by r?
28
Let h = 53 + -48. Suppose 0 = -h*d + 4*d + 17. What is the remainder when 50 is divided by d?
16
What is the remainder when 31 is divided by ((-5)/14*-4)/(1/21)?
1
Suppose -q + a - 21 = 0, -a = 2*q + 2*q + 99. Let x = q + 80. Suppose 100 = -0*j + 5*j. Calculate the remainder when x is divided by j.
16
Suppose 2*z + 5*u - 9*u + 24 = 0, -2*u + 14 = -2*z. Calculate the remainder when (15/20)/(-1*z/136) is divided by 20.
11
Let h(i) = 15*i - 2. Let b(y) = y**2 + 3*y + 1. Let v be b(0). Calculate the remainder when 50 is divided by h(v).
11
Let x = -1242 - -1335. Suppose -n + 3*w + 64 = n