. Suppose 4*t - 42 = v*r, -2*t = 4*r - 29 - 7. Calculate the remainder when 70 is divided by t.
10
Let p(j) = j**3 + 13*j**2 + 14*j - 21. Let n = -7 - -24. What is the remainder when p(-11) is divided by n?
16
Let q(r) = -5*r - 12. Let x be q(-11). Let b = -23 + x. What is the remainder when 78 is divided by b?
18
Suppose -4*v + 8*v - 760 = 0. Suppose -58*i = -63*i + v. Calculate the remainder when i is divided by 20.
18
Suppose 3*l + 5*i = -0*i + 232, 0 = -4*l - 4*i + 312. Calculate the remainder when l is divided by 40.
39
Suppose -5*g = -4*k + 19, 0*k - 2*k - 2*g = -32. Let x(s) = s**3 + 15*s**2 + 16*s + 55. Calculate the remainder when x(-14) is divided by k.
5
Let b(r) = -92*r + 310. What is the remainder when 2174 is divided by b(3)?
32
Suppose 10 = 4*l - 14. Suppose -s - 10 = -2*s. Suppose 3*t - 3*c = 15, -3*t + c + s = -3*c. Calculate the remainder when t is divided by l.
4
Let t = 1375 - 1273. Calculate the remainder when t is divided by 13.
11
Let c(z) = -3*z - 93. Calculate the remainder when 283 is divided by c(-36).
13
Let r(m) = 7*m + 7. Let w = 24 - 6. Suppose -3*d + w = -48. What is the remainder when r(8) is divided by d?
19
Let i = 17 + 2. Calculate the remainder when 56 is divided by i.
18
Let x = -3 - -5. What is the remainder when (17 - 35)/(6/(-4)) is divided by x?
0
Suppose -2*j + 10 = 4*l, j + 5 = -0*j. Suppose 0 = 6*u - 2*u + 36. Let q = u + 23. What is the remainder when q is divided by l?
4
Let b(s) = -2*s - 2. Let x be b(-3). Suppose n + x*n - 55 = 0. What is the remainder when 42 is divided by n?
9
Let a(p) = p**2 + 4*p + 8. Suppose -3*q = 2*t + 12, -4*q - 2*t - 16 = -t. Calculate the remainder when 15 is divided by a(q).
7
Let f(p) = 7*p + 34. Calculate the remainder when f(39) is divided by 62.
59
Suppose 5*h + 89 = 299. What is the remainder when 669 is divided by h?
39
Let r be (16/(-3))/1*102/(-68). Let p(k) = -k**3 + 7*k**2 + 12*k - 18. What is the remainder when 39 is divided by p(r)?
11
Let n be (-6)/(-39) - (1656/52)/(-1). Suppose -n = -2*m + 24. What is the remainder when m is divided by 10?
8
Let y = 109 + -18. Let x = -68 + y. What is the remainder when x is divided by 13?
10
Let s = 100 - 89. Let c = 16 + -10. Calculate the remainder when s is divided by c.
5
Let u = 8 + 232. What is the remainder when u is divided by 25?
15
Let l(u) = -22*u + 3. Calculate the remainder when l(-5) is divided by 3.
2
Suppose 97 = 5*u - 78. Suppose 2*z - 168 = s + 3*s, 4*s + 320 = 4*z. Calculate the remainder when u is divided by (0 - -4)*z/16.
16
Suppose 0 = 4*d - 35 + 143. Let r = d + 32. Suppose 0 = -j + 6*j + z - 329, 305 = r*j - 5*z. Calculate the remainder when j is divided by 17.
14
Let z(v) = -7*v + 296. Suppose 4*p + 20 = -f + 58, p = -4*f + 122. What is the remainder when f is divided by z(41)?
3
Let k = -12 - -16. Suppose -k*m + u = -335, 5*u + 63 + 100 = 2*m. Let d = m - 52. Calculate the remainder when d is divided by 17.
15
Let u = 52 + 65. Suppose 196*h - 373 = 1497 + 1462. What is the remainder when u is divided by h?
15
Suppose -35 = -23*z + 57. Calculate the remainder when 70 is divided by z.
2
Let p be ((-14)/(-5))/((-12)/(-30)). Suppose 5*r + 31 = q, -5*q - 5*r = -0*r - 65. Suppose -l + p = -q. What is the remainder when 67 is divided by l?
21
Let w(s) = s**3 - 6*s + 3. Let q be w(3). Suppose -9*b - 45 = -q*b. Suppose 0 = -p + 2 - 0, 3*h - p = 10. What is the remainder when b is divided by h?
3
Let v(a) = -a**2 + 15. Let m be v(0). Let b = 20 - m. What is the remainder when b is divided by (-30)/(-7) + 2/(-7)?
1
Let d = 733 + -400. Calculate the remainder when d is divided by 48.
45
Suppose 12 = f + 1. Let u = -5 + f. What is the remainder when (1 + 9)/(u/21) is divided by 13?
9
Suppose 0 = 31*z - 19177 - 23014. Calculate the remainder when z is divided by 47.
45
Let f = -56 + 136. Let l(m) be the first derivative of m**4/4 - 7*m**3/3 - 5*m**2/2 + 3*m - 1. Calculate the remainder when f is divided by l(8).
26
Let u(t) be the third derivative of -t**6/120 + 3*t**5/20 - 5*t**4/12 - 5*t**3/6 - 11*t**2. Calculate the remainder when u(7) is divided by 2.
1
Suppose -k = -m + 6, -3*k + 6 = 4*m + 2*k. Suppose 0 = -0*r + 4*r - 3*j - 32, 2*r = -m*j + 38. What is the remainder when 21 is divided by r?
10
Let o = -232 + 273. What is the remainder when 409 is divided by o?
40
Let h = 98 + -114. Let r = 20 - h. What is the remainder when 99 is divided by r?
27
What is the remainder when (9 - 7)*(-5 - 389/(-2)) is divided by 188?
3
Let m = -1008 + 1035. What is the remainder when 257 is divided by m?
14
Let v = 9 + 0. Let t(p) be the third derivative of p**5/60 - 7*p**4/24 - 11*p**3/6 + 3*p**2. What is the remainder when 26 is divided by t(v)?
5
Let u = -421 + 425. What is the remainder when 12 is divided by u?
0
Let c(x) = -277*x - 457. What is the remainder when c(-7) is divided by 99?
96
Suppose -5*a = -5*x - 6 - 24, a + 5*x = 24. Let g = a + -43. Let o = g + 116. Calculate the remainder when o is divided by 28.
26
Let f = 1096 - 1051. What is the remainder when 399 is divided by f?
39
Suppose -138*x + 132*x + 114 = 0. Calculate the remainder when 102 is divided by x.
7
Suppose -3*w + 15 = 6. Calculate the remainder when 4 + ((-28)/(-56) - (-10)/4) is divided by w.
1
Suppose -2*a = -0*a - 4*j - 8, -4*j = a - 28. What is the remainder when 6/(4/2) + (-280)/(-14) is divided by a?
11
Suppose 0 = -75*f + 71*f + 1820. Calculate the remainder when f is divided by 19.
18
Suppose -68 + 230 = 9*y. What is the remainder when 95 is divided by y?
5
Let x = 140 - -11. Calculate the remainder when x is divided by 41.
28
Suppose -121 = -3*f - d, 5*f - 199 = -d - 2*d. What is the remainder when 81 is divided by f?
40
Suppose 2*j = 3*m + 354, -4*j - 3*m = -3*j - 186. Calculate the remainder when j is divided by 46.
42
Let v(k) = -20*k - 5. Let t be v(-1). Calculate the remainder when 71 is divided by t + -3 + 1 + -1.
11
Let d = 12 - 11. Let m be 7 + d + -1 + -3. Suppose 0 = -2*l + m, -5*z = -z + l - 74. What is the remainder when 53 is divided by z?
17
What is the remainder when 152 + 5 + -3 - 0/16 is divided by 3?
1
What is the remainder when -92*(136/(-16))/17 is divided by 25?
21
What is the remainder when 5 is divided by -5*(84/35 - 3) + -1?
1
Let t = -23 - -54. Let j = t - 18. What is the remainder when 89 is divided by j?
11
Suppose 5*x + a = -23, -4*a + a = 3*x + 9. Let w(v) = -4*v. Calculate the remainder when w(x) is divided by 6.
2
Suppose -a + 0*a = 0. Suppose -y - y + 8 = a. Suppose 18 = -3*r + 24. What is the remainder when y is divided by r?
0
Let g = -16 + 31. Let t(n) = -3*n**2 - 4*n + 5. Let l be t(-4). What is the remainder when ((-58)/3)/(6/l) is divided by g?
12
Suppose -35 = -7*h - 0. Suppose 0*b + 5*b = -10. Let v = b - -21. What is the remainder when v is divided by h?
4
Let x = 1547 - 1481. What is the remainder when x is divided by 62?
4
Let k(l) = -103*l - 65. What is the remainder when k(-15) is divided by 38?
36
Suppose 93 = 8*y - 27. What is the remainder when 65 is divided by y?
5
Let i(y) = 16*y**2 + 2*y + 1. Let n be i(-1). Suppose 0*v = v - n. What is the remainder when (-333)/(-12) - (-1)/4 is divided by v?
13
Let i = -251 - -290. Calculate the remainder when i is divided by 5.
4
Suppose -5*g = 4 - 59. Let a(k) = 9*k - 7. Suppose 7*o = 8*o - 3. Calculate the remainder when a(o) is divided by g.
9
Let q be 618/18 + 1/(-3). Suppose -4 = 5*h - q. Suppose 10*c = h*c + 32. Calculate the remainder when 31 is divided by c.
7
Suppose 0 = a - 35 + 10. Suppose b - 19 = -5*f, 2*b = -3*b + f + 95. Calculate the remainder when a is divided by b.
6
Suppose 25 = 5*a, -18*r + 5*a + 7 = -14*r. Calculate the remainder when 1047 is divided by r.
7
Suppose -3*h - 2*v = -96, 3*h - 3*v = 32 + 34. Suppose r + 3*r = z - 4, z = -4*r + 4. Calculate the remainder when 2/z + 330/4 is divided by h.
27
Let h = -14 + 89. What is the remainder when h is divided by (84/(-210))/(1/(-65))?
23
Suppose b - a = -5*a + 16, b - 2*a - 46 = 0. Calculate the remainder when 140 is divided by b.
32
Suppose -g + 508 - 493 = 0. Calculate the remainder when 69 is divided by g.
9
Let i(d) = 5*d + 24. Let p be i(-6). What is the remainder when (-14)/(-84) - 1/p*215 is divided by 22?
14
Suppose k - 4*k = -24. Suppose 0 = -8*d + 53 - 5. What 