late the remainder when r is divided by 65.
62
Suppose 0 = 6*m + 4446 + 1824. Let a = -907 - m. Calculate the remainder when a is divided by 29.
22
Calculate the remainder when -9 + 108/(-42)*(-3486)/18 is divided by 55.
49
Suppose 3*y + 5 = 14. Suppose -17 = -r - 2*i, -y*i - i + 8 = 0. Let t = 23 - r. What is the remainder when 28 is divided by t?
8
Suppose 12*t - 2298 = 5934. Suppose -6*j + 124 = -t. What is the remainder when j is divided by 39?
18
What is the remainder when 104 is divided by -3*(78 - 80)/((-6)/(-5))?
4
Let f(r) = -r**3 + 3 - 392*r + 4 + 2*r**2 - 9*r**2 + 398*r. Suppose 3*z - 2*o + 7*o + 19 = 0, 0 = 3*o - 3. Calculate the remainder when 89 is divided by f(z).
20
Let x = 9451 - 9431. What is the remainder when 34 is divided by x?
14
Let y = 230 - 217. Let a(u) = 3*u - 1 - 25 - 8. What is the remainder when 23 is divided by a(y)?
3
Let l(z) = 2*z**3 + 3*z**2 - 3*z - 5. Let w be l(-1). Let c = 60 - w. Calculate the remainder when c is divided by 31.
30
Let o(x) = -x**2 - 16*x - 31. Let d be o(-15). Let n = -79 + d. Let t = -60 - n. What is the remainder when 103 is divided by t?
33
Let h = -61 + 85. Suppose 0 = 4*a - 0 - h. Let p(f) = -13945*f + 27912. What is the remainder when p(2) is divided by a?
4
Let i = 68 - -242. Calculate the remainder when 936 is divided by i.
6
Let l(g) = -g**3 + g**2 - 2*g - 5. Let h be l(-5). Let y = 259 - h. Let t = 108 - 87. What is the remainder when y is divided by t?
20
What is the remainder when 20*(-15)/(-3000) - 3199/(-10) is divided by 79?
4
Let s(m) = m**3 + 7*m**2 - 12*m - 21. Let g be s(-8). Suppose g*f - 281 = -6. Let h = -529 - -752. What is the remainder when h is divided by f?
23
Let x(g) = 5*g**2 - 2*g. Let o be x(2). Suppose -10*z - 2*b = -5*z - 250, -129 = -2*z + 5*b. What is the remainder when z is divided by (0 - -1)*-1 + o?
7
Let l be ((-65)/(-5) + -6)*1/1. Suppose -20 = -9*s + l. Suppose s*r - 32 = 253. Calculate the remainder when r is divided by 7.
4
Let j(m) = m**3 - 17*m**2 + 44*m - 22. Let y = -154 + 168. Calculate the remainder when 74 is divided by j(y).
2
Suppose 0 = -2*y + 5*o + 69, 153 = 202*y - 199*y - 2*o. What is the remainder when 3536 is divided by y?
2
Let w(n) = n**3 + 31*n**2 - 33*n - 9. Suppose 0 = -16*b + 21*b + 160. What is the remainder when 64 is divided by w(b)?
18
Let t(i) = -i**3 + 9*i**2 + 38*i - 14. Let w = -14 + 49. Calculate the remainder when w is divided by t(12).
5
Let v(b) = -183*b - 10. Let s be v(8). Let a = s - -853. What is the remainder when 26 is divided by ((-2)/(-3))/((-46)/a)?
8
Let f(b) be the first derivative of -2*b**3/3 - 55*b**2 + 3*b - 314. What is the remainder when f(-55) is divided by 2?
1
Let w be -1 - (2/17 - (-7160)/(-170)). Let b = w - 23. Calculate the remainder when 58 is divided by b.
4
Let h(o) = -o**3 + 22*o**2 - 59*o - 29. Calculate the remainder when 1036 is divided by h(18).
11
Let o(l) = -l**3 - 18*l**2 - 19*l. What is the remainder when (-17 - 49)/((1 - 3) + 1) is divided by o(-17)?
32
Suppose 0 = -4*w + c + 5866, 85*c = 82*c - 6. What is the remainder when w is divided by 113?
110
Let c = 26 + -50. Let d be c/(5 - 1) - -4. Calculate the remainder when 34 is divided by d/(-3) + (112/12 - 0).
4
What is the remainder when 171 is divided by (12*(-1)/5)/(1038/(-6920))?
11
Let c(n) be the second derivative of -16*n + 1/20*n**5 + 0 + 1/6*n**3 + 29/2*n**2 - 1/6*n**4. What is the remainder when 142 is divided by c(0)?
26
Suppose 0 = 2*n + 8*n - 543 - 357. What is the remainder when 2879 is divided by n?
89
Calculate the remainder when 282 is divided by ((15/(-9))/((-8)/6))/((-166)/(-3320)).
7
Let h(v) = -249*v - 6076. What is the remainder when 2524 is divided by h(-25)?
140
Suppose 4*z - 80 = -5*r - z, -4*r + 4*z + 24 = 0. Let v(a) = -2736*a + 16 + 17 + 2739*a. What is the remainder when v(6) is divided by r?
7
Let p = 85 - 76. Let g(f) = -2*f + 4. Let b be g(0). Suppose b*w - 5*w = -44. Calculate the remainder when w is divided by p.
8
Suppose -548*q - 1410 = -558*q. What is the remainder when 981 is divided by q?
135
Let r = 4 - -1. Suppose 7 = 6*m - r. What is the remainder when (-10 - m)/(18/(-27)) is divided by 5?
3
Let j(l) = 16*l**2 - 80*l + 102. Calculate the remainder when 10918 is divided by j(3).
4
Suppose 14*a - 604 = -86. Calculate the remainder when a is divided by 26 - (7 + 7 + -9).
16
Suppose 104 + 358 = 29*l + 56. Let k(u) = -u**2 + 6*u + 17. Calculate the remainder when l is divided by k(7).
4
Suppose -131 = 117*f - 11012. Let x(t) = 7 + 3*t - 4*t - 3. Calculate the remainder when f is divided by x(-2).
3
Let j(r) be the first derivative of -r**2/2 + 42*r - 75. Let x(s) = s**3 + 6*s**2 - 6*s - 4. Calculate the remainder when x(-6) is divided by j(25).
15
Let x(c) = 8*c**2 + 26*c - 246. Calculate the remainder when x(8) is divided by 16.
10
Suppose 3*y + 2*y - 2*v = 101, -y + v = -19. Suppose y*b + b - 4686 = 0. Calculate the remainder when b is divided by 73.
67
Let n(z) = 231*z + 7. Let x = -315 + 317. What is the remainder when n(x) is divided by 59?
56
Suppose -w = -2*a + 62, 3*a + 2*a - 5*w = 140. What is the remainder when a is divided by 16?
2
Let k be (-13 + (-1 - -4))/(-2). Suppose 4*b - k*s - 337 = -14, 4*s - 20 = 0. What is the remainder when (-2 + 2 + b)*(4 - 3) is divided by 18?
15
Suppose -16*m + 2*m + 3584 = 0. What is the remainder when 520 is divided by m?
8
Let q be (2/(-6))/(8 - 4330/540). Suppose 53*b + q = 55*b. Calculate the remainder when 21 is divided by b.
3
Let s be ((0 + 8/(-20))*235)/1. Let m = -74 - s. What is the remainder when m is divided by (-6)/3*-1 - -6?
4
Let z be 2/8 + 44/16. Let a be (z - 4) + -3 + 16. Suppose -15*i + 108 = -a*i. Calculate the remainder when 69 is divided by i.
33
Suppose 563*x - 59192 - 6116 = 0. Let g(h) = -h**3 + 7*h**2 - 3*h - 6. What is the remainder when x is divided by g(6)?
8
Let u(v) = -13*v - 11. Suppose -65 = -2*c + t, 0*t = -3*c + 2*t + 99. Let n = c - 34. Calculate the remainder when u(n) is divided by 10.
8
Let t = -89 - -98. Let d be 3/(1 - 4)*-1. What is the remainder when (d - -18) + (7 - 9) is divided by t?
8
Calculate the remainder when 195 is divided by (-1)/3*-105 - 10.
20
Let k(f) = -32*f - 16. Let z(r) = -16*r - 11. Let h(v) = 6*k(v) - 11*z(v). What is the remainder when h(-7) is divided by 70?
67
Suppose -3*a - 5*g = -109 - 39, -5*a + 234 = 2*g. Calculate the remainder when 75 is divided by a.
29
Let i be (-3)/2*(-471 + -49). Let p = i - 760. Calculate the remainder when p is divided by 19.
1
Suppose 227 = -29*v + 84*v - 4778. Calculate the remainder when v is divided by 68.
23
Suppose -26 = -2*b + 5*m, -5*m - 35 = -4*b - 3. Suppose 5*n = 5*s + n - 790, b*s - 474 = n. What is the remainder when s is divided by 8?
6
Let u be 6/42*7 - -158. Let v = 197 - u. Calculate the remainder when 72 is divided by v.
34
Let n = -22522 + 22987. What is the remainder when n is divided by 14?
3
Suppose -9*b + 4*b + 26 = 4*r, -5*r + 22 = b. Suppose -s = i - 6*i + 100, 4*s + 80 = r*i. Suppose 0*q - i = -10*q. What is the remainder when 6 is divided by q?
0
Let d(m) = -9*m**2 + 88*m - 135. Calculate the remainder when d(7) is divided by 29.
11
Let o = -2483 + 2958. Calculate the remainder when o is divided by 26.
7
Suppose j - 3 = 7. Let x(m) = -2*m**3 - 6*m**2 - 5*m + 3. Let c be x(-2). Suppose c*n = 119 - 34. What is the remainder when n is divided by j?
7
Let w(h) = 2*h**2 + 64*h - 20. Let a be 68*(-5 + 9 + -3)/(-2). Calculate the remainder when w(a) is divided by 18.
8
Suppose 4*y + 15*n = 80 + 219, n = -y + 72. What is the remainder when 247 is divided by y?
34
Let n(f) = -6*f + 10. Suppose 15*x + 18 = 12*x. What is the remainder when n(x) is divided by -6 - 2/((-4)/46)?
12
Let l(b) = 16*b**2. Let a be l(2). Let q = a + -37. Suppose -74*v + 196 = -252 - 70. Calculate the remainder when q is divided by v.
6
Calculate the remainder when 1539 is divided by ((-80)/48)/((-1)/21).
34
Suppose -4*r - 5 + 16 = -c, 0 = -5*r + 4*c + 11. Calculate the remainder when (336/252)/(8/126) - 10 is divided by r.
2
Let m(u) = -57*u + 275. Calculate the remainder when m(-8) is divided by 15.
11
Suppose 2*d + 50 = 4*n, n - 30 = 7*d - 11. Calculate the remainder when 3609 is divided by n.
9
Let h(l) = 3*l - 3. Let f be 7 - (1 + 2 + -2). Let b = 364 + -362