 the remainder when r is divided by 19.
5
Let b be (-22)/(-88) - (59/(-4) - 1). Calculate the remainder when 18 is divided by b/2*(-3)/(-18)*3.
2
Suppose -4*i = -4*c - 44, -5*i + 28 = 2*c + 2*c. Let r = 34 - i. What is the remainder when r is divided by (14/(-21))/((8/54)/(-2))?
8
Let m(s) = 3*s**2 + 37*s - 62. Calculate the remainder when 102 is divided by m(-14).
6
Let u(d) = 7*d**2 + 7*d - 13. Calculate the remainder when 171 is divided by u(2).
26
Suppose 0*r = 3*i - 4*r - 402, 4*r + 134 = i. What is the remainder when i is divided by 34?
32
Let n = 405 - 391. Calculate the remainder when 360 is divided by n.
10
Let x = -14 - 5. Let z = x - -32. What is the remainder when 37 is divided by z?
11
Let u(o) = -o**2 + 2*o + 8. Let q be u(-3). What is the remainder when 350 is divided by 0 - 0 - 1/(q/273)?
38
Suppose 3*t = 4*j - 27, 0*j - 3 = 4*j + 3*t. Let o(b) be the second derivative of b**4/12 + b**2 + b. Calculate the remainder when o(j) is divided by 3.
2
Let m(g) = -g**3 - 19*g**2 - 7*g - 14. Let k be m(-19). What is the remainder when 18 is divided by 4/(-10) - k/(-35)?
0
Let h = 17 - 3. Suppose -h = -4*y - 6. Suppose 5*a - 25 = -5*z, a + 13 = 7*z - y*z. What is the remainder when 4 is divided by a?
0
Suppose 31*r = 29*r + 56. Calculate the remainder when 134 is divided by r.
22
Suppose 4*n - n = 93. Suppose 2*z = 6*c - 2*c + 14, 4*c = 3*z - 17. Suppose 2*r = z*r - 11. Calculate the remainder when n is divided by r.
9
Let i = -22 - -26. Let r be 5*(2 - i/20). Let o = r + 14. What is the remainder when o is divided by 8?
7
Suppose 61*l + 2 - 1161 = 0. What is the remainder when 62 is divided by l?
5
Let v be (-5 + -1)*2/(-2). Let s = v - 0. Suppose 3*i - 33 + s = 0. Calculate the remainder when 34 is divided by i.
7
Let q = 118 - 266. Calculate the remainder when 94 is divided by q/(-6) - (-12)/(-18).
22
Let d(v) = -v**3 + 5*v**2 + 9*v - 7. Suppose 14*w - 10 = 13*w. Suppose 478 = w*f - 52. What is the remainder when f is divided by d(6)?
9
Let r(x) = -x**3 + 7*x**2 - 2*x + 2. Suppose 6 - 4 = t - k, 0 = 3*t - 2*k - 6. Suppose -3*u + 6 = -t*u. Calculate the remainder when 77 is divided by r(u).
25
Let o be (-4)/(-10)*(96 + -1). Suppose 3*p + o - 1 = 5*i, 0 = 4*i + 4*p - 4. Suppose -i*y + 4*y + 33 = 0. Calculate the remainder when y is divided by 17.
16
Let g be (-3 + 0)*(-8)/6. Suppose p - g = 1. Let n(t) = t**2 - t - 7. What is the remainder when 23 is divided by n(p)?
10
Suppose -5*x + m = -202, x - 117 + 79 = -m. What is the remainder when 318 is divided by x?
38
Let a(w) = 23*w**2 - 5*w - 5. Let i(s) = s**3 - 4*s**2 - 6*s + 4. Let r be i(5). What is the remainder when a(r) is divided by 18?
5
Suppose -3*d - 3 = -0*d, 0 = 3*q + 5*d - 4648. What is the remainder when q is divided by 111?
108
Suppose 4*t + 3*n - 167 = 0, -5*t - n = 3*n - 208. What is the remainder when t is divided by 6?
2
Let z be 2/(-10)*-36 - 5/25. Suppose -c + z*c - 90 = 0. Calculate the remainder when 1/2*(-3 - -117) is divided by c.
12
Let t(x) = -10*x - 106. Calculate the remainder when 6 is divided by t(-11).
2
Suppose 15 = 5*c - 2*s, 2*s + 5 + 1 = 2*c. Suppose c*a - 81 - 156 = 0. Calculate the remainder when a is divided by 16.
15
Let x = -28 - -30. Let q be 2/2 - (0 - 2). Suppose -q*j = -2*j - x. What is the remainder when 2 is divided by j?
0
Suppose -25*d + 109 = -391. What is the remainder when 199 is divided by d?
19
Let o = -167 + 229. What is the remainder when o is divided by 19?
5
Let h = 78 + -22. Let m = -4 + 6. Suppose 4*f - 8 - h = -m*a, 4*a - f = 119. What is the remainder when a is divided by 11?
8
Let a(b) = -6*b + 9. Let c = 452 - 443. What is the remainder when a(-7) is divided by c?
6
Let o(b) = -6*b - 4. Let l be o(3). Let t = l - -37. Calculate the remainder when (-14)/(-3)*42/7 is divided by t.
13
Let v(h) = -4*h + 13. Suppose 0*t - t + 4*n = -22, 5*t - 4*n - 30 = 0. What is the remainder when v(2) is divided by t?
1
Suppose -55*c + 135 = -54*c. What is the remainder when 87 is divided by (-4)/(-10) + 3996/c?
27
Suppose 0 = 5*n - 0*n + 35. Let d(v) = v**2 + 3*v - 5. Suppose 3 - 5 = 2*a, -2*s + 140 = -4*a. What is the remainder when s is divided by d(n)?
22
Let u(p) = p**3 - 14*p**2 - 18*p + 52. Calculate the remainder when 216 is divided by u(15).
6
Let t(r) be the second derivative of 7*r**4/4 + 5*r**3/6 + 9*r**2/2 + 13*r. Calculate the remainder when t(-3) is divided by 37.
35
Let d(b) = b**2 - b. Let f be d(3). Let r = -20 + f. Let v = -4 - r. Calculate the remainder when 39 is divided by v.
9
Let g = 71 + -74. Calculate the remainder when (22 - -2)*g/(-6) is divided by 8.
4
Suppose -p - 3*p = 4*d + 52, -15 = -5*p. Let s be (-57)/5 + (-2)/(-5). Let r = s - d. What is the remainder when 24 is divided by r?
4
Suppose -8*j + 1585 = 5*b - 13*j, b - 312 = 2*j. What is the remainder when b is divided by 102?
16
Suppose 28*l + 2322 = 10974. Calculate the remainder when l is divided by 15.
9
Let w be (-2 + -5 + 0)*-3. Let m be 3 + (-2 - w/3). What is the remainder when 152/6 - (-2)/m is divided by 7?
4
Suppose 6*f - 5*f - 91 = -t, 4*t = f - 111. Let o = -791 + 824. What is the remainder when f is divided by o?
29
Let o = 82 + -79. Suppose o*r - 44 = r. What is the remainder when r is divided by 8?
6
Suppose -3*l - 2*p - 3*p + 502 = 0, 0 = -5*l - 4*p + 841. Suppose -l = -6*n - 61. What is the remainder when 34 is divided by n?
16
What is the remainder when (-10 + 8)*5*(-73)/2 is divided by 92?
89
Let b(o) = 3*o**2 + 14*o - 5. Let q be b(-5). Suppose q = 9*f + f - 220. What is the remainder when f is divided by 15?
7
Let b = 64 - 61. Suppose -37 = -k - z, 2*k + 0*z = b*z + 99. What is the remainder when 164 is divided by k?
38
Let u = 1565 - 1220. Calculate the remainder when u is divided by 80.
25
Suppose 2*y - 86 = -3*f, -132 = -4*y + 5*f - f. Suppose 286 - 721 = -110*t + 1655. What is the remainder when y is divided by t?
18
Let i(c) = 2*c**2 - 5*c + 17. Suppose u + 1 = 31. What is the remainder when i(-6) is divided by u?
29
Suppose d - 2*d + 2 = 0. Suppose -2*c + 21 = p, -p - 2*p + 27 = d*c. What is the remainder when ((-68)/(-20))/((-4)/(-20))*1 is divided by c?
8
Let r(h) be the second derivative of -h**3/2 + 2*h**2 - 23*h. What is the remainder when 61 is divided by r(-6)?
17
Let s = 19 + -4. Suppose 13*b + 20 = s*b. What is the remainder when b is divided by 3?
1
Suppose -5*k - 834 = 1046. What is the remainder when (k/12 - -1)/((-1)/3) is divided by 31?
29
Suppose 4*t - 758 + 246 = 4*z, 4*z + 20 = 0. What is the remainder when t is divided by 21?
18
Let i(g) = -4*g + 3. Let r = 15 - -9. Suppose 2*v + 2*v + r = 0. What is the remainder when 77 is divided by i(v)?
23
Let a = -32 - -37. Suppose 6*q + 2*y - 98 = 2*q, -5*y - 100 = -a*q. Calculate the remainder when 45 is divided by q.
22
Suppose 3*s + a + 2*a - 291 = 0, -4*a = -4*s + 364. Calculate the remainder when s is divided by 2/(-6) - (188/(-6) - 1).
30
Let n(k) = 11*k**2 - 75*k - 17. Suppose -2*t + 46 = 6*a - a, 0 = -4*t - 5*a + 72. What is the remainder when n(8) is divided by t?
9
Let u(f) = -f**3 - 8*f**2 + 22*f + 42. What is the remainder when 43 is divided by u(-10)?
21
Let c(k) = -8*k**3 - 2*k**2 - 3*k - 2. Let w = 29 + -30. Calculate the remainder when 27 is divided by c(w).
6
Suppose -3*g + 19 = 4*a - 14, 0 = -3*a + 5*g + 32. What is the remainder when 1*13 + 2/1 is divided by a?
6
Suppose -6*n - 316 = -4*f - 7*n, 5*f - 5*n - 395 = 0. Calculate the remainder when f is divided by -4*559/(-104) + (-1)/2.
16
Suppose 0*p - p = 5*m - 5, 0 = -3*m + p + 11. Suppose -2*w + 46 = -2*b + 6*b, m*b - 36 = -2*w. What is the remainder when 88 is divided by w?
10
Let g = 83 - 47. Suppose -g*s + 31*s + 205 = 0. Calculate the remainder when 162 is divided by s.
39
Let s = 64 - 74. What is the remainder when (-310)/s - ((-1 - 0) + 3) is divided by 6?
5
Suppose 0 = -20*z + 505 + 175. Calculate the remainder when 125 is divided by z.
23
Let h = 40 + -26. Let q(l) = -l + 5. Let d be q(-11). Suppose 4*g = -0*g + d. Calculate the remainder when h is divided by g.
2
Let h = 1885 - 1394. Calculate the remainder when h is divided by 19.
16
Let k(u) = -1 + 3*u**2 + 13*u + 3*u - 1. Calculate the remainder when k(-11) is divided by 47.
44
Let a(u) = -u**3 + 6*u**2 - u + 17. Let m(f) = -2*f**2 + 13*f - 1