emainder when q(o) is divided by 53.
50
Suppose 250*y = 89263 + 95388 + 344349. What is the remainder when y is divided by 13?
10
Let f = 4199 + -821. What is the remainder when f is divided by 65?
63
Suppose -5*q - 915 = -920. What is the remainder when 242 is divided by (q - -1)*(21 + 16)?
20
Suppose 5*m = 2*u - 120 + 460, 340 = 5*m - 3*u. Calculate the remainder when 324 is divided by m.
52
Let b(p) = 3*p**2 + 10*p - 1. Suppose 18*u - 21 = 29*u - 186. What is the remainder when b(4) is divided by u?
12
Suppose 0 = -3*h + 3*z + 51, -h - h + 38 = -4*z. What is the remainder when (-4)/(-30) - 9712/(-60) is divided by h?
12
Let p = 8161 - 8147. Calculate the remainder when 15340 is divided by p.
10
Suppose 2*t + 2*t = 2*n + 72, 61 = 3*t - 5*n. Suppose 5*m = -3*p + 1698, 0 = 4*p - 26*m + 18*m - 2352. What is the remainder when p is divided by t?
15
Let z be (((-24)/(-10))/(-1))/(21/(-70)). Suppose 30 = -z*g + 10*g. Calculate the remainder when g is divided by 10.
5
Let q be (100/(-60))/((-10)/(-12)). Let y(x) = -24*x**3 + 2*x**2 + x. What is the remainder when y(-1) is divided by -2*((-91)/(-28))/(q/4)?
12
Suppose -369*d = -422*d + 16430. Calculate the remainder when d is divided by 65.
50
Suppose 30*l - 70 = 80. Let j = 88 + -181. What is the remainder when (-2 + j/3)*-1 is divided by l?
3
Suppose 3*t - 59 = 91. Suppose 3*l - 85 = -h - 14, 0 = 2*l + 2*h - t. What is the remainder when 63 is divided by l?
17
Let w(k) = -k**2 + 15*k - 14. Let c be ((-42)/(-4))/(4/(32/12)). What is the remainder when w(c) is divided by 16?
10
Suppose 0*f - 2*s + 505 = 5*f, 3*f + 4*s = 303. Let y(h) = h**2 - 13*h - 13. Calculate the remainder when f is divided by y(16).
31
Suppose 3*v = 66 + 102. Let j = 59 - v. Suppose 29 + 172 = j*n. Calculate the remainder when n is divided by 17.
16
Let q = 68 - 64. Let f be 94*(q - 14*(-2)/(-8)). Let n = f + 15. Calculate the remainder when n is divided by 8.
6
Suppose 0 = -3*s - 2*p - 928, 4*s - p = -5*p - 1244. Let n = s + 372. Suppose 4*w - 174 = -38. What is the remainder when n is divided by w?
32
Let d(w) = 2*w**3 - 34*w**2 - 16*w - 58. Let v be d(18). Let p = -293 + v. Calculate the remainder when 14 is divided by p.
5
Suppose -175*o + 162*o = -286. Suppose -o*l = -19*l - 750. What is the remainder when l is divided by 43?
35
Let g(q) be the first derivative of 3*q**2/2 + 17*q + 83. Let r = 10 - 4. Calculate the remainder when g(r) is divided by 19.
16
Let j(x) = -x**2 + 12*x - 29. Let i be j(4). What is the remainder when 233 is divided by ((-16)/12 - -2) + 76/i?
25
Suppose 4098 - 4770 = -21*a. Let b be (7 - -3) + 0/(-2). Suppose -5*s + 5 = -b. Calculate the remainder when a is divided by s.
2
Let o = 112 + -109. Suppose -3*x + 75 = o*j, -3*x + 17 - 14 = 0. Calculate the remainder when 106 is divided by j.
10
Let h(r) = -21*r + 229. Suppose -2*c - 3*l + 31 = 2*c, -c - 4*l = 2. Calculate the remainder when h(10) is divided by c.
9
Suppose 121*n + 46*n - 27026 = 42112. Calculate the remainder when 483 is divided by n.
69
Let j be 3 - 44 - 4/(-4). Let d = 38 + j. Let f(x) = x**2 + 2. What is the remainder when 8 is divided by f(d)?
2
Suppose -3*s + 14 + 1 = 0. Let v = -82 - s. What is the remainder when (v/(-6))/((-1)/(-2)) is divided by 10?
9
Suppose -33*y + 32*y + 87 = 0. Let j be 4077/99 + (-48)/22 + 2. Suppose -j*g + 42*g = 9. Calculate the remainder when y is divided by g.
6
What is the remainder when 166 is divided by ((-2)/4)/(((-3)/(-30))/((-147)/105))?
5
Let c(k) be the third derivative of -7/6*k**3 + 3/8*k**4 + 0 + 0*k - 2*k**2. Calculate the remainder when 20 is divided by c(2).
9
Let z(q) = -6*q - 4. Let h be z(-3). Suppose -39*t = -78*t + 53508. What is the remainder when ((-24)/h)/((-56)/t) is divided by 9?
6
Let m = -2 + 5. Let u(c) = 8*c + 137. What is the remainder when u(-14) is divided by m?
1
Let t(f) = f**2 + f + 118. Let r = -608 - -603. What is the remainder when t(0) is divided by 2/6 + r + 536/12?
38
Let x(c) = 5*c - 2. Let v be x(1). Let l(q) = -q**2 + q + 11. What is the remainder when 63/v*1*4/4 is divided by l(0)?
10
Suppose -3075 - 4175 = -29*a. Calculate the remainder when 1734 is divided by a.
234
Suppose 5*o = -5*h + 75, -2*h = -h - 4*o - 25. Suppose -987 + 4839 = -9*w. Let k = w + 562. Calculate the remainder when k is divided by h.
15
Suppose 15 = 3*r + 2*r. Suppose m - 18 = -r. What is the remainder when m is divided by (-68)/(-6) + (60/(-18))/10?
4
Let g = -3 + 43. Suppose -59 + 87 = -p + 303. Calculate the remainder when p is divided by g.
35
Let d = -18 + 27. Suppose -d*o - 161 = -8*o. What is the remainder when 35 is divided by 46/o - 128/(-7)?
17
Let z(g) = -g**3 + 9*g**2 + 5*g + 8. Let d be z(8). Let n = d - 76. What is the remainder when n is divided by (13/3)/(10/30)?
10
Suppose 16*n - 12*n = -2*b + 40, -69 = -4*b + 3*n. What is the remainder when 193 is divided by b?
13
Let p(o) = 2*o**3 + 41*o**2 - 70*o - 1646. What is the remainder when p(-19) is divided by 30?
17
Let d be (-3 + (-1 - 1))/(-1). Let t(v) = -v**2 + 18*v - 57. What is the remainder when 15 is divided by t(d)?
7
Suppose -4*d + 184 = -4*o, -3*d + 166 - 28 = -2*o. Suppose 1811*j = -144849 + 550513. Calculate the remainder when j is divided by d.
40
Let y(i) = -3*i**2 + 45*i + 299. What is the remainder when 997 is divided by y(9)?
75
Let u = -50 - -93. Suppose -16*h - 12 = 36. Calculate the remainder when u is divided by h/((-62)/(-230) - 12/30).
20
Let w = 691 - 623. Suppose 2919 = -w*u + 75*u. What is the remainder when u is divided by 70?
67
Suppose p = -5, -2 = -t - 5*p - 13. Suppose -z + 119 = 2*a, 2*z + 38 = 2*a - 72. Suppose 7 = -s + a. What is the remainder when s is divided by t?
9
Suppose d = 2*d. Let z(m) = -m - 8. Let w be z(d). Let y = 46 - w. What is the remainder when y is divided by 14?
12
Let b(k) = -20. Let v(t) = 3*t + 41. Let o(n) = -5*b(n) - 3*v(n). Calculate the remainder when 30 is divided by o(-3).
2
Suppose 389*p = -133*p - 622 + 3754. Calculate the remainder when (-2)/((-8)/(-82))*-2 is divided by p.
5
Suppose -g - 2*r - 93 = -251, -3*r = 4*g - 667. Calculate the remainder when g is divided by 35.
32
Let d(s) = s - 1. Let c(n) = -n**2 - 13*n - 3. Let m(y) = c(y) + 3*d(y). What is the remainder when (-860)/(-25) + (-2)/5 is divided by m(-4)?
16
Suppose o = -5*a + 49, -10*a + 43 = -7*a + 4*o. Calculate the remainder when 473 is divided by a.
5
Suppose 3*p = -2*l + 89, 19*l - 24*l + 197 = -p. Calculate the remainder when 390 is divided by l.
30
Let n = -4813 - -4852. Calculate the remainder when 3975 is divided by n.
36
Let p(i) = i**3 - 7*i**2 + 62*i - 320. Suppose -u + 4*u = 1530. What is the remainder when u is divided by p(6)?
14
Let t(a) = 3*a**2 - 2*a + 29. Let j be (1 - 6 - -5)/1. Calculate the remainder when t(j) is divided by 10.
9
What is the remainder when 4190/(-14)*(-114)/15 - 12/21 is divided by 256?
226
Suppose -423 = -4*x + 129. What is the remainder when 717 is divided by (-4)/(-7 - x/(-20))?
37
Let i be -3 - (4/12)/((-1)/3). Let w(o) = -o**3 - 3*o**2 - 2*o. Let g be w(i). Calculate the remainder when 73 is divided by (3 - g)/((-3)/(-19)).
16
Let x(a) = -2*a**2 + 24*a - 16. Let f = 413 + -402. Calculate the remainder when 29 is divided by x(f).
5
What is the remainder when 171/(-2)*(116 + -118) is divided by 102?
69
Suppose -5*z - 16*z = -38*z + 782. What is the remainder when 545 is divided by z?
39
Suppose 0 = 5*p - 25, -f - 22*p + 20*p = -2730. What is the remainder when f is divided by 903?
11
Let b(l) = -l**3 - 4*l**2 - 5*l + 3. Let d be b(-4). Suppose 0 = a - 2*a + d. Calculate the remainder when a is divided by (-2 + 4 - -1) + 2.
3
Suppose 2*o - 20 = 2. Let x(k) = -2*k**2 - 4*k + 2. Let g be x(-5). Let m = g - -46. What is the remainder when m is divided by o?
7
Suppose 31*b - 108 = 171. Calculate the remainder when 124 is divided by b.
7
Let b = 40 - -69. Suppose z - 2*w - b = -w, 5*w = 3*z - 321. What is the remainder when z is divided by ((-76)/16*2)/((-111)/666)?
55
Let v(w) = 253*w - 9273. What is the remainder when v(55) is divided by 9?
7
Let s be ((-18)/(-4))/(3/92). Suppose 12*w = 14*w - s. Suppose -70 = -3*y + 4*m, -5*y + m + 143 - 49 = 0. What is the remainder when w is divided by y?
15
Let d = 30 + 22. Suppose -6 = 2*l + l, 5*l + 46 = 3*x. Suppose -x*q