
6
Let h be 3/(-6) + (-122)/(-4). Suppose x = 4*a - a + h, 0 = 2*a + 8. Suppose 2*u - 265 = -3*u. Calculate the remainder when u is divided by x.
17
Let s be 18/81 - (-34)/9. Suppose 5*c - 3*u = -7*u + 69, -s*u + 4 = 0. What is the remainder when 22 is divided by c?
9
Suppose 0 = -20*b + 31*b + 132. Let r(f) = f**2 + 8*f - 33. Calculate the remainder when 29 is divided by r(b).
14
Let k = 38 + -63. Let g = 31 + k. Calculate the remainder when 27 is divided by g.
3
Suppose -18 = -4*h - 2. Let x(a) = 4*a + 104. Let z be x(-30). Let u(j) = -j**2 - 17*j - 3. Calculate the remainder when u(z) is divided by h.
1
Let a = -392 - -476. Suppose 5 - 13 = -2*y. Suppose -t + 72 = -2*r + 6*r, 3*r - 35 = y*t. Calculate the remainder when a is divided by r.
16
Suppose -4*m = -s - 212, -9*s + 196 = 4*m - 6*s. What is the remainder when m is divided by 18?
16
Let k = 11 - 7. Suppose 3*a - k*a = 11. What is the remainder when 8 is divided by (-186)/(-66) + (-2)/a?
2
Calculate the remainder when 108 is divided by 10*(-2)/8*(-140)/25.
10
Suppose 139 = 4*a - 93. What is the remainder when a is divided by 28?
2
Let z(v) = 10*v + 98. Calculate the remainder when 364 is divided by z(-9).
4
Let x(m) = m**2 + 4*m - 1. What is the remainder when x(4) is divided by -3*12/18 + (14 - 1)?
9
Let n(t) = t + 14. Let j(g) = -g - 1. Let z(u) = 2*j(u) + n(u). Let p be z(8). Let w(r) = -r**3 + 6*r**2 - 3. What is the remainder when w(p) is divided by 10?
9
Calculate the remainder when (-9)/45 + 1164/20 is divided by 22.
14
What is the remainder when 54 is divided by (5 - 3 - -3)*(-132)/(-20)?
21
Let h(k) = 20*k - 537. Calculate the remainder when 73 is divided by h(28).
4
Let f be 6/21 + (-180)/(-7). Suppose -f = -3*l + l. Calculate the remainder when 0 + 53 + (-4 - -1) is divided by l.
11
Suppose -208*o - 114 = -211*o. Calculate the remainder when o is divided by 21.
17
Let z = 490 + -382. What is the remainder when z is divided by 60?
48
Suppose 366 = 5*p + 4*y, -372 = -5*p - 0*y + 2*y. What is the remainder when p is divided by 13?
9
Let r(q) = -2*q**3 - 2*q**2 + 1. Let k be r(-1). Suppose 2*s - 10 = 2. What is the remainder when (k - 5)*11/(-4) is divided by s?
5
Let v(d) = 2*d**3 - 10*d**2 + 8*d - 3. Suppose -3*p = -l + 15, 0 = 5*l - l - 3*p - 33. Calculate the remainder when v(l) is divided by 40.
37
Calculate the remainder when -49 - -130 - (2 + -2 - 0) is divided by 4.
1
Suppose -4*x = -o - 0*o + 22, -5*o + 110 = 2*x. Let v(q) = -2*q**2 - 56*q - 39. What is the remainder when v(-26) is divided by o?
21
Suppose 5*x = 2*x + 3*a + 102, x - 24 = -a. Let v(w) = w**3 + 8*w**2 - 6*w + 8. Calculate the remainder when v(-8) is divided by x.
27
Let g(p) be the third derivative of 0*p**4 + 0*p + 0 - 1/120*p**6 - p**2 + 2/15*p**5 + 7/6*p**3. Calculate the remainder when 20 is divided by g(8).
6
What is the remainder when 11 is divided by 52/16 - (44/(-16) + 3)?
2
Let n = 301 + -104. What is the remainder when n is divided by 41?
33
Let r = 9 - 5. Suppose 0 = 5*a + r*j - 14, 0*j = a - 2*j. Suppose 169 = 3*b + a*d, 4*d + 0*d = -5*b + 279. Calculate the remainder when b is divided by 15.
14
What is the remainder when (-20)/(-8) + -4 + (-7175)/(-14) is divided by 46?
5
Suppose 0 = 2*k - 8 + 4, -3*d + 64 = 2*k. What is the remainder when 619 is divided by d?
19
Suppose -5*h = 0, b + 453 = 2*b - h. Suppose 3*v = -66 + b. Calculate the remainder when v is divided by 22.
19
Let d(k) = k + 4. Suppose q - 16 = -0*q - 2*n, -5*q = 5*n - 85. Calculate the remainder when q is divided by d(3).
4
Let z = 232 - -75. Calculate the remainder when z is divided by 31.
28
Let i(p) = -p + 15. Let j be i(13). Suppose j = -o + 5. Suppose -f = o*f - 100. Calculate the remainder when f is divided by 7.
4
Calculate the remainder when (2/(-2) + -51)*(-20)/10 is divided by 11.
5
Suppose 4*d = -4*r + 548, -4*r + 651 - 138 = -3*d. Suppose j - 71 = -4*a, -r = -4*j + 5*a + 68. Calculate the remainder when j is divided by 29.
26
Suppose 2*n + 4 = 2*r - 2, 5*n - 3*r = -7. Let j = n + 17. Calculate the remainder when 29 is divided by j.
11
Let l = 47 - 32. What is the remainder when (2 - 6)/2*-13 is divided by l?
11
Suppose -5*m - 2*y + 68 = 0, 4*m = 2*y + 3*y + 28. What is the remainder when -35*(-14)/35 + 4 is divided by m?
6
Let o(h) = 234 - 461 + 232 - h. What is the remainder when 5 is divided by o(3)?
1
Let q = -2 + -44. Calculate the remainder when 2/(q/50 + (-3 - -4)) is divided by 14.
11
Suppose r + 2*r = 15. Suppose -3*l + 37 = 2*h, 255*h - 4*l + 40 = 257*h. What is the remainder when h is divided by r?
4
Suppose 4*m + 8 = -8. Let c be (1*-24)/(3/m). Suppose 18*h - c = 16*h. Calculate the remainder when 61 is divided by h.
13
Let p(f) = 13 - 4*f**3 + 0*f - 10*f**2 - 10*f + 5*f**3. Let z = 528 - 517. Calculate the remainder when 47 is divided by p(z).
23
Let f(g) = g**3 + 10*g**2 + 7*g - 4. Let y be (4 - (15 + -2))/1. Calculate the remainder when 110 is divided by f(y).
12
Let w = 11 + 10. Let o = w - 12. Calculate the remainder when (-10)/75 - (-1)/((-60)/(-1988)) is divided by o.
6
Suppose 199*u = 179*u + 4040. Calculate the remainder when u is divided by 102.
100
Let q(i) = 4*i**2 + 0*i**2 - 9 - i**2 + 221*i - 223*i. What is the remainder when 185 is divided by q(-4)?
44
Suppose -66*p + 96 = 4*r - 64*p, -104 = -4*r - 4*p. Calculate the remainder when r is divided by 22.
0
Let n(l) = -6*l - 1. Let a be n(-3). Suppose 3*g + a = -13. Let f = g - -17. What is the remainder when 27 is divided by f?
6
Let s(o) = 2*o**2 - 4. Let w be s(-2). Suppose 4*m = 16 + w. Suppose 66 = 4*h - 2*b + 8, 4*h - 49 = m*b. What is the remainder when 30 is divided by h?
14
Suppose 26 = c - 5*x, 13*x - 8*x = -2*c + 97. Calculate the remainder when (-2)/(-9) - 1447/(-9) is divided by c.
38
Let p be 16/16 - (-3)/2*-38. Let d(b) = b**2 + 7*b - 12. Let s be d(8). Let w = p + s. What is the remainder when w is divided by 18?
16
Let s(l) = l**2 + l**2 + 20*l - 13 + 0*l. What is the remainder when s(-11) is divided by 3?
0
Let h = -10 - -22. Let t be 4*(-1)/(h/(-57)). Let a = -8 + t. What is the remainder when 31 is divided by a?
9
Let y = -24 + 24. Suppose -u + 7 + 5 = y. What is the remainder when 33 is divided by u?
9
Suppose -5*h + 611 = -39. What is the remainder when h is divided by 69?
61
Let w = -95 - -139. Calculate the remainder when 134 is divided by w.
2
Let q(l) = -l**2 - 9*l - 3. Let m be q(-8). Let p(x) = m*x - 5*x - 9 + x. Calculate the remainder when 2 is divided by p(11).
0
Let u(s) be the first derivative of 2*s**3/3 - 7*s**2 + 2*s - 3. What is the remainder when u(7) is divided by 1?
0
What is the remainder when 99 is divided by (2*(-4)/(-4))/((-5)/(-10))?
3
Let i = 648 - 633. What is the remainder when 1/(2/46) + 0 is divided by i?
8
Suppose 4*h + 214 + 322 = 0. Let o = h - -698. Suppose 5*t = -89 + o. What is the remainder when t is divided by 24?
23
Let x = -841 + 1198. Calculate the remainder when x is divided by 36.
33
Let p be (2/(-4))/(6/(-12)). What is the remainder when p*3 - 378*6/(-12) is divided by 39?
36
Let a(o) = -o**3 - 22*o**2 - 22*o + 20. What is the remainder when 120 is divided by a(-21)?
38
Let y(l) = -32*l + 29. Calculate the remainder when y(-11) is divided by 48.
45
Let p be (-8)/(-6) - (-1)/(-3). Let b = p - -2. What is the remainder when (-14)/(-4) - (-5)/10 is divided by b?
1
Let w(g) = -5*g**2 + 3*g. Let l(v) = 6*v**2 - 4*v. Let x(q) = -4*l(q) - 5*w(q). Calculate the remainder when x(4) is divided by 6.
2
Let a(h) = -h**3 - 11*h**2 - 26*h - 3. What is the remainder when a(-10) is divided by 37?
9
Suppose -3*s = -8*s + 50. Let w = 191 + -103. Suppose -2*n = 4*f - w, 2*n + f = n + 41. Calculate the remainder when n is divided by s.
8
Suppose -2*z + 53 = -4*i - 7, i = 3*z - 95. Suppose 4*w - 10 = 18. What is the remainder when z is divided by w?
4
Let i = -60 + 29. Let n = i + 73. Suppose -50 = -2*h + n. What is the remainder when h is divided by 12?
10
Let n = 361 + -340. Let v(l) = 11*l**3 + 1. Let w be 14/(-49) + 9/7. What is the remainder when n is divided by v(w)?
9
Let n(z) = 12*z**2 + 407*z + 798. Let s = 15 + -4. What is the remainder when n(-2) is divided by s?
10
Let v = 3 + -6. Let s(b) = -b - 1. Let y be s(v). Calculate the remainder when y/1*58/4 is divided by 10.
9
Let n = -3 + 6.