pose -5*g + 32 - 2 = 0. What is the remainder when s is divided by g?
3
Suppose -5*c = -g + 142, -g - 101*c + 162 = -102*c. What is the remainder when g is divided by 37?
19
Let t be (-12)/((-6)/1) + 3. What is the remainder when 250 is divided by 46 + (10 - t) + -9?
40
Let w(d) = 3*d**2 - d + 2. Let y be w(4). Let t = y + -26. What is the remainder when 28 is divided by (t/(-7))/(8/(-28))?
8
Let v = -7 + 10. Let y(q) = -5*q**2 - 6. Let b be y(v). Let p = -22 - b. What is the remainder when p is divided by 16?
13
Let q(c) be the second derivative of 5*c**3/6 + 21*c**2/2 + 11*c. Let b be q(-5). Calculate the remainder when (-2)/b - (-2430)/36 is divided by 24.
20
Let n = 32 + 23. Suppose 247*l = 242*l + n. Calculate the remainder when 20 is divided by l.
9
Suppose 5*n - n = -120. Let o = n + 18. Let j = o - -49. Calculate the remainder when j is divided by 13.
11
Suppose 5*f = 23*f - 684. What is the remainder when 101 is divided by f?
25
Suppose -7*b + 24 = -11. Suppose h = -4*d + 4*h + 32, -5*d + b*h = -45. Calculate the remainder when 23 is divided by d.
3
Suppose 6213 = -33*r + 50697. What is the remainder when r is divided by 75?
73
Suppose -3*b + 5*u = -318, 4*b - 4*u = 298 + 134. Let t = 161 - b. Let p(m) = m**3 + 12*m**2 - 2*m - 7. What is the remainder when t is divided by p(-12)?
16
Calculate the remainder when 286 is divided by (116/6)/(-2 + (-7)/(-3)).
54
Let m(x) = -x**2 - 5*x. Let h be m(-5). Suppose 0 = -h*g + 5*g - 95. Calculate the remainder when g is divided by 4.
3
Let y = -1527 + 1614. What is the remainder when y is divided by 11?
10
Suppose c - 402 = -c. Suppose -5*b + 0*m - m = -199, 5*b - m = c. Calculate the remainder when b is divided by 22.
18
Suppose 4*s - 4*d - 52 = 0, -9*d - 34 = -3*s - 11*d. What is the remainder when 1845 is divided by s?
9
Let p(d) = d**3 - 9*d**2 + 7*d + 11. Let o be p(8). Suppose -4*b = a - 28, -o*a - 8 = -4*a + b. Calculate the remainder when 23 is divided by a.
11
Suppose -4*a + 190 = -218. Calculate the remainder when a is divided by (-10)/35 - (1472/(-14))/4.
24
Suppose 4*x = -47*x + 867. What is the remainder when 115 is divided by x?
13
Let c(b) = b**3 + 18*b**2 + 16*b - 15. Let i be c(-17). Let d be (-4 + 4)*(i - 1). Calculate the remainder when 43 is divided by d + 0 - (-4 - 7).
10
Let p = 33 - 30. Suppose 34 = p*q - 17. Calculate the remainder when 30 is divided by q.
13
Let r = 111 + 86. What is the remainder when r is divided by 18?
17
Let c be 2/(-4)*0 + (-8 - -7). Calculate the remainder when -3 + 5 - c*37 is divided by 8.
7
Let l = 15 - -2. Let t = -24 + 31. Suppose -t*u + 108 + 116 = 0. Calculate the remainder when u is divided by l.
15
Let l(s) = -14*s + 7. Let w be l(-3). Suppose -5*v - g = -41, -2*g = -5*v - g + w. Calculate the remainder when 25 is divided by v.
7
Suppose -16*c - 132 = -19*c. What is the remainder when c is divided by 14?
2
Suppose 36 = 4*h - 4. Let a = 3635 - 3556. Calculate the remainder when a is divided by h.
9
Let g = -247 + 269. What is the remainder when g is divided by 9?
4
Suppose -68*d + 12476 + 18804 = 0. Calculate the remainder when d is divided by 16.
12
Let z(x) = -x**3 + 17*x**2 + 18*x + 15. Let b be z(18). Suppose 0 = -3*i + 186 - b. Calculate the remainder when 225 is divided by i.
54
Suppose -8*u + 4*h = -3*u + 122, -113 = 5*u - h. Let t = u - -36. Calculate the remainder when t is divided by 5.
4
Let j = 2 + 2. What is the remainder when (-650)/(-35) + 30/70 is divided by j?
3
Let t(k) = k**2 + 12*k - 7. Let u be (-2 - -6) + -1 + -16. Calculate the remainder when 10 is divided by t(u).
4
Let n = 42 - 29. Let o be 1*(-8 - -5)*(-50)/(-3). Calculate the remainder when (129/(-15) + 2)/(15/o) is divided by n.
9
Calculate the remainder when 213 is divided by 15/12 - (-7446)/136.
45
What is the remainder when 99 is divided by (-194)/(-5) + 96/(-120)?
23
Let k(z) = 8*z - 1 + 5*z + 2 - 4*z. What is the remainder when 82 is divided by k(3)?
26
Let c(x) = -3*x**3 - 3*x**2 + 2*x + 4. What is the remainder when 778 is divided by c(-2)?
10
Let w(s) = -9*s - 12. Let c = -5 - -2. Suppose -3*o - 140 = -5*a - 8*o, -4*o = -5*a + 140. Calculate the remainder when a is divided by w(c).
13
Suppose 3*n = 427 + 86. What is the remainder when n is divided by 4 - (5 + 5*-6)?
26
Suppose 5 = -3*f + b, 4*b + 4 = -0*b. Let z(w) = -w**2 + w + 2. Let p be z(f). What is the remainder when (-171 - -1)*p/10 is divided by 23?
22
Suppose 5*q = 2*i - 167, -4*q = 4*i - i - 285. Let o = i + -48. Calculate the remainder when o is divided by 15.
13
Let v = -441 - -1870. What is the remainder when v is divided by 110?
109
Suppose 3*x + 16 = 4, s - 47 = -2*x. What is the remainder when 383 is divided by s?
53
Suppose -x - 84 = -2*a, x - a = -4*a - 89. Let w = x + 103. What is the remainder when 65 is divided by w?
14
Calculate the remainder when (0 + 89)*(20 + 224/(-14)) is divided by 118.
2
Let w be (-370)/35 + (-16)/(-28). Calculate the remainder when 2/2 - (w + -4) is divided by 4.
3
Suppose -16 = -6*w + 68. Calculate the remainder when 40 is divided by w.
12
Let h(q) = -q**3 + 5*q**2 + 7*q - 2. Let c = 192 + -179. What is the remainder when c is divided by h(6)?
1
Calculate the remainder when 2 - (-48)/(-21) - 978/(-42) is divided by 12.
11
Suppose 2*v = -11*a + 10*a + 44, 0 = 3*a + 3*v - 117. Calculate the remainder when a is divided by 9.
7
Let p = 2038 + -1951. Calculate the remainder when p is divided by 19.
11
Suppose 0 = -24*u + 27*u + 9. Let l(b) = -b**3 - 3*b**2 + 9. Calculate the remainder when l(u) is divided by 3.
0
Suppose -29 = -5*m - 4. Suppose 46*q - 21 = 43*q. Calculate the remainder when q is divided by m.
2
Calculate the remainder when 1506 is divided by 26*((-3 - -1) + (-105)/(-42)).
11
What is the remainder when (-1)/((-65)/39)*2010 is divided by 11?
7
Let l(a) = -a**2 + 7*a + 7. Suppose 2*o = 4*o - 2*u - 6, -2*u + 9 = o. Suppose 547*t - 533*t - 462 = 0. Calculate the remainder when t is divided by l(o).
16
Suppose -17*k + 20*k = 150. Suppose -5*r = -5*l - 4*r + 45, -4*r + k = 3*l. What is the remainder when 19 is divided by l?
9
Let p = 12 + -12. Let w(b) = -b**3 + b**2 + 7. Suppose -17 = 4*x - 121. Calculate the remainder when x is divided by w(p).
5
Suppose 2*p - 15 = 37. Let g = 38 + -15. What is the remainder when g is divided by 36*(p/6 - 4)?
11
Let m be ((-9)/(-5) - 3)*-5. Let l = -4 + 4. Suppose 3*p = -2*s + 37, l = 2*s - m*s - 2*p + 70. Calculate the remainder when s is divided by 10.
7
Suppose -u - 3*u + 140 = 0. What is the remainder when 103 + -2 - 30/(-10) is divided by u?
34
Let o = -25 - -18. Let v(z) = -2*z**2 - 19*z - 6. Calculate the remainder when v(o) is divided by 16.
13
Suppose -333 + 828 = 3*x. What is the remainder when 511 is divided by x?
16
Suppose -15*x = -231 - 84. Suppose -f = f - 74. Suppose 5*s = a - f, -2*a - a - 4*s = -206. Calculate the remainder when a is divided by x.
20
Suppose 0 = -m - 4*m + 30. Calculate the remainder when 172466/5238 + (-2)/(-27) is divided by m.
3
Let k = 490 + -418. Calculate the remainder when k is divided by 32.
8
Let k(r) = 2*r**2 + 0*r**2 + 1 - 3*r**2 + 33*r**3. Suppose p = -3*p + 4, 1 = 4*n - 3*p. Calculate the remainder when k(n) is divided by 5.
3
Let v(r) = r + 19. Suppose 0 = -4*x + 128 + 8. Suppose 2*m = 2*t + 24, -2*m + 5*t + x - 1 = 0. Calculate the remainder when v(6) is divided by m.
7
Let v be (48/(-15) - -2)*-5. Suppose -8*n + 2 = -v*n. Calculate the remainder when 1 is divided by n.
0
Let i be 2/(-2)*2 + 4. Suppose 0 = 4*q - i*q - 48. Suppose 32*z - 33*z = -45. What is the remainder when z is divided by q?
21
Let l(k) be the first derivative of k**4/4 - 7*k**3/3 + 9*k**2/2 - 5*k - 6. Let y = 4 - -20. Calculate the remainder when y is divided by l(6).
11
Let h(g) = 3*g + 6. Let i = 26 - 15. What is the remainder when h(8) is divided by i?
8
Let x(i) = i**3 + 16*i + 8. What is the remainder when x(8) is divided by 59?
58
Let u = -3 + 7. Suppose 70*p = 82*p. Suppose 8*d - u*d - 216 = p. What is the remainder when d is divided by 19?
16
Let y(f) = 2*f**2 - 81*f + 634. Calculate the remainder when 423 is divided by y(8).
81
Let c be 79 + (-2 - (-4)/(-4)). Suppose -12*p + 8*p = -c. Let s = 27 - p. Calculate the remainder when s is divided by 5.
3
Let i be 40*(-12)/(-40)*-4. Let c = 76