-4*q + 15 + m = 0. Suppose -z - 19 = -3*o, 5*z = o - 3*o + q. What is the remainder when 22 is divided by o?
4
Suppose 33 = 2*a - 27. Let w(i) = -3*i - 11. Let g(k) = 6*k + 22. Let l(c) = 6*g(c) + 13*w(c). Calculate the remainder when a is divided by l(-9).
14
Let p be 29 + -22 - 4/1*1. Suppose 0*v = p*v - 123. Calculate the remainder when v is divided by 16.
9
Suppose 7*k + 128 + 110 = 0. Let z = k + 38. Suppose -z*p + 11*p = 77. Calculate the remainder when 14 is divided by p.
3
Suppose 65*t - 48 = 3542 + 7070. Let m(i) = 5*i - 2. Calculate the remainder when t is divided by m(7).
32
Let g = 26 + -40. What is the remainder when (-3322)/g - (95/(-35) - -3) is divided by 34?
33
Suppose -5*s = -j + 11, 0*s = -3*j - 2*s + 33. Suppose 0 = j*x - 408 - 120. Calculate the remainder when 190 is divided by x.
46
Let r = 1863 - 1840. Let s = 21 + -9. Calculate the remainder when r is divided by s.
11
Let q(z) = 2*z - 6. Let x be q(15). Suppose 2*t + 3*m = -3*t + 66, -t + 3*m = -x. What is the remainder when t is divided by 8?
7
Suppose -3*d + 1510 = 5*u, 5*u + 0*d + 4*d - 1515 = 0. Calculate the remainder when u is divided by 30.
29
Let d(s) = 10*s**2 + 22*s + 42. What is the remainder when 73 is divided by d(-2)?
35
Suppose -u - 5*u = 6. Calculate the remainder when 16 is divided by ((-22)/u)/2 + 2/(-1).
7
Suppose -2*a - s + 72 = 0, 3*s + 23 + 6 = a. What is the remainder when (-1*1)/((-6)/822) is divided by a?
32
Calculate the remainder when 1148/22 + (-2)/11 is divided by ((-66)/(-8))/((-72)/(-96)).
8
Let q = -177 - -259. What is the remainder when q is divided by 45?
37
Let h be 1/3 + 196/6. Suppose 5*m - h = 22. Calculate the remainder when 31 is divided by m.
9
Let v = -11 + 16. Suppose v*a + 6 = 3*a. What is the remainder when 0 + a + (30 - 1) is divided by 9?
8
What is the remainder when 51 is divided by (74/111)/(-1*2/(-96))?
19
Calculate the remainder when 3 is divided by (1*-1)/(12/12)*-1.
0
Suppose 3*t + 0*t = 5*r - 2, 4*r - 12 = 5*t. What is the remainder when (6/t)/(8/(-48)) is divided by 4?
1
Suppose -5*b = -19 - 11. What is the remainder when (-294)/(-9) - (-2)/6 is divided by b?
3
Let y be (11 + -2)*58/6. Let s = y + -48. Calculate the remainder when s is divided by 21.
18
Suppose -2*q + 6 = -20. What is the remainder when 73 is divided by q?
8
Let o(y) = -3626*y**2 + y - 1. Let q be o(1). Calculate the remainder when (q/22)/(-1) - (-12)/66 is divided by 28.
25
Let r(m) be the first derivative of -3*m**2 - 9*m - 11. What is the remainder when 22 is divided by r(-3)?
4
Suppose -214 = -3*y - 4*j, 10*y - 4*j + 288 = 14*y. Calculate the remainder when 512 is divided by y.
68
Let v be ((-36)/10)/((-8)/20). Let d = v + 0. Suppose b + 3*k = 3*b - 6, 0 = -3*b - 2*k + 9. What is the remainder when d is divided by b?
0
Suppose -41 = 9*c + 4. Calculate the remainder when 42 is divided by 11 - (3 + c + 4).
6
Suppose -8*h = -5*h - 354. Suppose m = 4*n - h, 7*n - 4*n - 5*m - 97 = 0. What is the remainder when 84 is divided by n?
26
Suppose -1 = -3*m - 22. Let o = m - -9. Suppose b + o*b - 3 = 0. Calculate the remainder when 2 is divided by b.
0
Let m(b) = -b**2 + b + 4. Let w be m(0). Let n = 7 + w. What is the remainder when 53 is divided by n?
9
Let l(o) = -2*o + 5. Suppose 3*m = -s - m - 7, -34 = 3*s - m. Calculate the remainder when l(s) is divided by 5.
2
Let p = -11 + 5. Let l be -21*((-4)/p + -1). Suppose 2*r = 3*r - l. What is the remainder when 20 is divided by r?
6
Let r = -12 - -8. Let h = 0 - r. Let j = -348 - -361. Calculate the remainder when j is divided by h.
1
Let q = 741 + -684. What is the remainder when 110 is divided by q?
53
Let l(i) = i**3 - 2*i**2 - 2. Let q be l(2). Calculate the remainder when ((-276)/36 - -7)*69/(-2) is divided by (8/10 + q)*-10.
11
Calculate the remainder when 144 is divided by (-6)/12*(-240)/4.
24
Let f be (12/(-30))/((-2)/1260). Suppose f = 9*q - 0*q. What is the remainder when q is divided by 11?
6
Let f = 121 - 55. Let s = -19 + f. Calculate the remainder when s is divided by 12.
11
Let d = 101 - 72. Suppose 0 = -x + 5 + 14. Let n = x - 11. What is the remainder when d is divided by n?
5
Let i(r) = r**3 + 8*r**2 + 3*r + 15. Calculate the remainder when 199 is divided by i(-7).
27
Let s = -235 - -244. Calculate the remainder when 141 is divided by s.
6
Let n(c) = -c - 50. Let u be n(-12). What is the remainder when -12*(u/4 + 4) is divided by 35?
31
Suppose -2004 + 480 = -4*w. Calculate the remainder when w is divided by 48.
45
Suppose 0 = -5*h - 4*z + 38, 0 = -4*z + 18 - 10. What is the remainder when 122 is divided by h?
2
Let u(x) = 3 + x - 15*x**2 - 7 + 1. Let f be u(3). Let j = 189 + f. Calculate the remainder when j is divided by 19.
16
Let h(f) be the second derivative of -f**5/4 + f**4/4 - f**3/3 - f**2 - 34*f. Calculate the remainder when h(-2) is divided by 8.
6
Let g = -362 + 412. Calculate the remainder when g is divided by 18.
14
Let p(n) = n**2 - 25*n + 75. Calculate the remainder when p(23) is divided by 17.
12
What is the remainder when ((-228)/42 - -6) + (-528)/(-7) is divided by 6?
4
Let c be (-2)/4 + 30/(-20). Let m = c - -110. Suppose -3*g + 43 = u, 4*g - 32 = -4*u + m. Calculate the remainder when u is divided by 16.
15
Suppose -4*p + 106 - 426 = 0. Let j = p + 83. Calculate the remainder when 3 is divided by j.
0
What is the remainder when (1584/27 - -3)*3 is divided by 18?
5
Let y(c) = -c**3 - 5*c**2 + 13*c - 30. What is the remainder when 175 is divided by y(-8)?
1
Let w be (-27)/(-63) - 50/(-14). Let x be w/(-10) - 2120/(-50). Suppose -10*d + 12*d = x. What is the remainder when 39 is divided by d?
18
Suppose -68*a + 521 + 839 = 0. Let t = 1 - -1. Calculate the remainder when a is divided by t.
0
Suppose 0 = -2*c - c + 15. Suppose -4*b + 15 = 4*q - q, -2 = -c*q + b. Calculate the remainder when (-11)/(-3) + 6/(-9) is divided by q.
0
Suppose 5*z = 37 - 2. Calculate the remainder when 89 is divided by z.
5
Let h(p) = -p**3 - 21*p**2 - 5*p - 31. What is the remainder when 291 is divided by h(-21)?
69
Suppose 0 = 5*t + 4*l + 160, l + 74 = -4*t - 43. Let y = 62 - t. Let f(z) = 15*z + 158. Calculate the remainder when y is divided by f(-9).
21
Suppose 5*x + 3*f + 10 = -1, 0 = -5*x - 2*f - 9. Let v(y) = -52*y**3 + 2*y + 1. What is the remainder when v(x) is divided by 27?
24
Let p(l) = -6*l + 208. Calculate the remainder when p(28) is divided by 16.
8
Suppose -z + g + 1156 = -713, -6 = -3*g. Calculate the remainder when z is divided by 39.
38
Suppose 4*v = -4*h + 160, 4*h - 3*v = -0*v + 153. Suppose -6 = 3*d - 4*d. Calculate the remainder when h is divided by d.
3
Let a be 1 + ((-84)/3)/4. Let g be a/(0 - -3) + 7. Suppose -g*h = 84 - 304. Calculate the remainder when h is divided by 15.
14
Suppose -d - 300 = -5*d. What is the remainder when (-2)/10 + 1515/d is divided by 6?
2
What is the remainder when (4/6 - -1)*(8 - -1) is divided by 8?
7
Let p = -4 + 6. Let n(q) = -q - 2. Let f be n(-5). Suppose -p*m = f*m - 50. Calculate the remainder when 17 is divided by m.
7
Let h(s) = 2*s**3 + s. Let p be h(1). Let k be 3/(-21) + 2/14. Suppose k*a = -p*a + 66. Calculate the remainder when 41 is divided by a.
19
Let g be (-3)/((-9)/61)*3. Let c be ((-1)/(-2))/(8/336). Let v = g - c. Calculate the remainder when v is divided by 14.
12
Suppose -13 + 3 = -5*f. What is the remainder when (f - 234)*3/(-12)*2 is divided by 30?
26
What is the remainder when 41 is divided by (36 + -35)*(30 + 1 + -1)?
11
Suppose -3*u - 16 + 1 = 0, -x = -5*u - 36. Let j = x + 3. Suppose 3*r = 24*f - 25*f + 44, 4*f + 4*r - 200 = 0. Calculate the remainder when f is divided by j.
11
Suppose j + 2*j - 12 = 0. Suppose -4 - 12 = -j*z. Suppose 17 = -z*m + 73. What is the remainder when 54 is divided by m?
12
Suppose -2*r + 34 = i, -2*i + 22 = 2*r + 2*i. What is the remainder when r is divided by 12?
7
Let n(o) = o**2 + 15*o + 47. Let v be n(-11). Suppose -5*p + v*p = 2*m - 34, -4*p - 68 = -4*m. What is the remainder when 115 is divided by m?
13
Let x = 42 - 29. Suppose -6*c - x = -127. Calculate the remainder when 51 is divided by c.
13
Let j(k) = -8*k**3 - k - 1. Let x = 3 - -2. Let y = x + -6. What is the remainder when 30 is divided by j(y)?
6
Suppose -5*a = 0, -4*a - 87 = -3*f - 9*a. What is the remainder when 95 is d