remainder when r(5) is divided by 19.
15
Suppose -20*z - 97 + 797 = 0. Calculate the remainder when 172 is divided by z.
32
Let u be -3 - (-3 - 5 - -1). Let y(n) = -n**3 + n**2 - 2*n + 4. What is the remainder when y(0) is divided by (-1)/(-1) - u/(-4)?
0
Let k = 2857 - 2737. Calculate the remainder when k is divided by 114/10 - (-2)/(-5).
10
Let n = -139 + 201. Suppose 2*u - 66 = -u - 3*v, 0 = 3*u + 2*v - n. Calculate the remainder when 52 is divided by u.
16
Let l(k) = -4*k - 5. Let z be l(7). Let d = z - -59. Let j = 61 + -47. What is the remainder when d is divided by j?
12
Let c(h) = -20*h + 111. What is the remainder when c(4) is divided by 17?
14
Suppose -11*i + 75 + 156 = 0. Calculate the remainder when 732 is divided by i.
18
Let f = 40 - 37. Suppose -2*m - 5 = -n, f*n - 50 + 13 = -5*m. Calculate the remainder when n is divided by 3.
0
Suppose -2*t + 6*x = x - 22, -5*t - 3*x = -24. What is the remainder when 18 is divided by 34/6 + t*(-6)/54?
3
Suppose 3*b + 4*g - 79 = -4, 2*b = 5*g + 27. Suppose 2*h = b + 13. Suppose 0 = -h*z + 18*z - 15. What is the remainder when 44 is divided by z?
14
Let f(l) = -l**2 - 30*l + 133. What is the remainder when f(-29) is divided by 12?
6
Suppose -5*d - d - 312 = 0. Let j = 65 + d. Suppose 0*o = -o + 7. Calculate the remainder when j is divided by o.
6
Suppose 0*q = 4*q. Suppose q = -4*k + 3*p, -2*k - k = 2*p - 17. Suppose -l + 5 = a - 3, -4*a - l = -26. Calculate the remainder when a is divided by k.
0
Suppose -9*a + 2*x + 4641 = -9424, x + 3125 = 2*a. What is the remainder when a is divided by 29?
26
Suppose f + 15 = -l, 0 = -f - 4*f + l - 75. Let z be f/12*16/2. What is the remainder when 37 is divided by z/(-1) - (2 - 2)?
7
Suppose -5*h - 150 = 50. Let b = h - -46. What is the remainder when 83 is divided by b?
5
Let h be 4/26 + 0 - (-126)/26. Suppose 1 = -4*j + h*x + 19, 0 = -5*x - 10. Calculate the remainder when (-8)/((1 - 3)*1) is divided by j.
0
Suppose -1562 = -7*r - 603. What is the remainder when r is divided by 46?
45
Suppose -10 = -2*p, 5 = 5*u - 2*p - 60. What is the remainder when 148 is divided by u?
13
Let o = -42 - -48. Suppose 0*s - o*s = -252. What is the remainder when 124 is divided by s?
40
Suppose 7*l - 36 = 27. What is the remainder when 9/((-27)/(-124)) + (-3)/l is divided by 14?
13
Suppose -o = -6*o + 95. Let j = 9664 + -9660. Calculate the remainder when o is divided by j.
3
Calculate the remainder when 570 is divided by (1 + 0)*-3 - (-143 + -45).
15
Suppose 3*b + 48 = -b. Let o(f) = -3*f - 23. Calculate the remainder when 23 is divided by o(b).
10
Let b be -1*18/(-3 - -6). Let z(m) = -m + 25. Let t be z(10). Let c = t + b. What is the remainder when 43 is divided by c?
7
What is the remainder when (-2656)/(-34) - (-6)/(-51) is divided by 21?
15
Suppose 22 = 5*u + 5*y - 3, -5*y = 2*u + 5. Calculate the remainder when 42 is divided by u.
2
Let x(k) = k + 1. Let t(s) = -s**3 + 4*s**2 - 6*s - 5. Let q(h) = -t(h) - 2*x(h). Calculate the remainder when (0 + 312/(-15))/((-4)/10) is divided by q(4).
14
Let d = 945 + -897. What is the remainder when 231 is divided by d?
39
Let k = 70 + -67. Let m(x) = -x**3 + 6*x**2 - 8*x + 2. Calculate the remainder when 10 is divided by m(k).
0
Let z = 30 - 28. Suppose -67 = -4*o - k, -o - 5*k + 63 = z*o. Let h = 19 - o. Calculate the remainder when 7 is divided by h.
1
Let l(k) = -k**3 + k**2 + 27*k - 20. Suppose -3*b - 5 + 23 = 0. What is the remainder when l(5) is divided by b?
3
Suppose -5*a + 8*a - 4*b = 56, 0 = -3*a - b + 46. What is the remainder when 398 is divided by a?
14
Let q be 18/(-12)*-9*2. Let t = q + -18. Let h(i) = 4*i + 4. Calculate the remainder when h(t) is divided by 15.
10
Suppose -143 = -5*g + 2*w + 48, -w - 188 = -5*g. What is the remainder when (-1)/(-1) + (187 - 4) is divided by g?
36
Suppose -5*f + 25 = -5*k, 2*f - 3*f + 2*k = -1. Suppose -4*m + f*m - 335 = 5*j, -j = -3*m + 201. What is the remainder when m is divided by 10?
7
Calculate the remainder when 455/10*(-24)/(-7) is divided by (2/4)/(7/798) + -4.
50
Let a(m) = 7*m + 2. Let h be a(23). Let c = h - 116. Calculate the remainder when c is divided by 12.
11
Suppose -45 = -3*f + 33. What is the remainder when 1507 is divided by f?
25
Let k(o) = 28*o + 5. Suppose -5 = -y - 3. Calculate the remainder when k(y) is divided by 16.
13
Let x = 5 - -32. What is the remainder when 134 is divided by x + (0 - 3/1)*1?
32
Let v(h) = h**3 - 4*h**2 + h + 13. Calculate the remainder when v(3) is divided by 3.
1
Calculate the remainder when 5/15 - 244/(-6) is divided by 7.
6
Suppose -5*x + 5305 = -3*v, -59*x + 4*v = -64*x + 5305. What is the remainder when x is divided by 19?
16
Let s(u) = -u**2 - u + 48. Let r be s(-7). Suppose -r*a = -9*a + 27. What is the remainder when 17 is divided by a?
8
Let j = -117 + 123. Suppose 0 = -j*v - 16*v + 616. Calculate the remainder when 166 is divided by v.
26
Suppose -l = -0*l. Let a(i) = 41*i - 1 + l - 2. Calculate the remainder when a(2) is divided by 27.
25
Let h(p) = -5*p - 38. Let w be h(-7). Suppose 2*q = 5*q - 15. Let n = q - w. Calculate the remainder when n is divided by 3.
2
Let b be 24/(-48) + (-42)/(-4). What is the remainder when ((-2712)/b)/(-6)*(-5)/(-2) is divided by 23?
21
Let h(a) = 5*a + 11 - 4 - 3*a - 4*a. What is the remainder when 12/(-10)*1200/(-36) is divided by h(-7)?
19
Suppose 4*q + 4 = 0, 3*q + 21 = 3*s + 3. Suppose -5*g + 70 = -s*y, 0 = g + 4*y - 32 + 8. Suppose -54 = -t - g. What is the remainder when t is divided by 13?
12
Let n(t) = -4*t + 0*t - 1 - 66*t**2 + 5*t. Let x be n(1). What is the remainder when x/(5/(10/(-4))) is divided by 9?
6
Let q(k) = -k**2 + 57*k - 416. What is the remainder when 132 is divided by q(48)?
4
What is the remainder when 12 - 9 - (-144 + 0) is divided by 66?
15
Let p be (-10)/(-3)*54/12. Suppose -i - 5 = -2*s + s, -4*s + p = i. What is the remainder when 35 is divided by (24/(-4))/(i + 0)?
5
Suppose 20*t - 63*t = -688. Calculate the remainder when 172 is divided by t.
12
Let k(h) = 845*h**3 - 2*h**2 + 2*h - 1. What is the remainder when k(1) is divided by 106?
102
Suppose 5 = 5*b - 3*x - 4, -5*x = -5*b + 15. Suppose -5*s - 44 = -j - 17, b = -5*j + 5*s + 115. What is the remainder when 63 is divided by j?
19
Let f = -9 + 3. What is the remainder when 1656/(-23)*f/8 is divided by 11?
10
Suppose -6*x + 842 = 170. What is the remainder when x is divided by 25?
12
Suppose 3*g = 14 - 17, -2*c + 30 = 4*g. Calculate the remainder when (-2 - 48)/((-1)/1) is divided by c.
16
Calculate the remainder when 2/9 - 457/(-9) is divided by (-1 + 5 - (-27)/(-6))*(-44 + 6).
13
Calculate the remainder when (-6)/(-24)*-4*5*-17 is divided by 8.
5
Suppose l - 4*p = 453, -3*l - 10*p + 14*p = -1399. What is the remainder when l is divided by 4?
1
Suppose 0 = -4*p + 12*p - 272. What is the remainder when p is divided by 12?
10
Suppose 108 = 4*y - 4*a, 0*a = 3*a - 9. Suppose 0 = 4*d - y - 26. Calculate the remainder when d is divided by 4.
2
Suppose 5*m - 15 = -4*p + 166, p + m - 46 = 0. Calculate the remainder when 438 is divided by p.
46
Let y(t) = -5 - t**3 + 21*t**2 - 4*t + 3*t + 4*t - 2*t. What is the remainder when 47 is divided by y(21)?
15
Let l(g) = -7*g**2 - g - 1. Let d(y) = 6*y**2 + y + 1. Let v(n) = -4*d(n) - 5*l(n). Calculate the remainder when v(2) is divided by 25.
22
What is the remainder when -9*-3*(-2 + 3) is divided by 2/(-15) + 304/30?
7
Suppose 0 = -5*n + f + 149, -3*f - 3 + 6 = 0. Suppose 57*x = -393 + 1305. What is the remainder when n is divided by x?
14
Let g(q) = -q - 4. Let c be g(-7). Suppose 5*o = c*o + 100. Calculate the remainder when o is divided by 13.
11
Suppose 0 + 5 = -u - 5*g, 2*u = 5*g + 35. Suppose 5*v = u*v - 140. Calculate the remainder when v is divided by 10.
8
What is the remainder when 109 is divided by 96/6 - (-1 + 9)?
5
Let s = -72 - -129. Let v(f) = 15*f**2 - f - 1. Let t = -8 - -7. What is the remainder when s is divided by v(t)?
12
Calculate the remainder when 183 is divided by ((-18)/(-8))/(180/7680).
87
Suppose 5*q - 59 = -0*m + 3*m, 0 = 5*q - 5*m - 65. Suppose q = -w - 0. What is the remainder when (8/w)/(2/(-60)) is divided by 13?
11
Let v(c) = -2*c**3 + 13*c**2 + 11*c - 13. Calculate the remainder when 162 is divided by v(7).
12
Let g = 37 + -37. Supp