hen 20 is divided by ((-84)/v)/(2/(-12))?
6
Suppose 61*d + 14612 = 74*d. Calculate the remainder when d is divided by 62.
8
Let t(z) = z**3 + 18*z**2 + 90*z + 1543. What is the remainder when t(-16) is divided by 32?
7
Suppose -5*y - i = -3*i - 75, 22 = y + i. What is the remainder when 8*15/(-420)*-651 is divided by y?
16
Let x = 1212 + -280. Let p = x + -837. What is the remainder when p is divided by 57?
38
Let v(f) = 3*f**3 - 134*f**2 + 92*f + 577. Calculate the remainder when v(44) is divided by 21.
18
Let s(m) = -m**3 + 12*m**2 + 16*m - 36. Let k(o) = 32*o - 19. Let z be k(1). What is the remainder when 12 is divided by s(z)?
0
Let i = -84 + 84. Suppose i = -3*n - 5*b - 450 + 2170, n + 4*b = 578. What is the remainder when n is divided by 14?
10
Suppose 10 + 75 = 5*b. Suppose -739*c + 734*c + 293 = 6*w, -3*w + 4*c = -101. What is the remainder when w is divided by b?
9
Suppose z = 22*z - 63. Suppose -h + 1 + 0 = -m, 5*m = -z*h + 43. What is the remainder when 111 is divided by h?
3
Let r be 1/3 + -8 + (-38708)/(-12). What is the remainder when r/10 + 208/(-260) is divided by 7?
6
Let u be 44/(-24)*-10 - 9/27. Suppose -20*i + 86 = -u*i. What is the remainder when 171 is divided by i?
42
Suppose 3*c = 2*s - 18, 2*s + c - 45 = -11. Suppose -40 - 11 = -17*z. What is the remainder when z/((-1296)/438 - -3) is divided by s?
13
Let r be ((-6)/12 - 0) + (-615)/(-6). Suppose -7*c + r + 136 = 0. What is the remainder when c is divided by 12?
10
Let g = -1360 - -1371. What is the remainder when -5 - -5 - (-28 + -1) is divided by g?
7
Calculate the remainder when 107 is divided by -4 - (3 - 7 - 1) - -40.
25
Suppose -5*d = -5*w - 10, 2*d + 0*d = 2. Let a be (0/3 + w)*-17. Suppose -f + 2*p + 40 = 3*f, -a = -f + 4*p. Calculate the remainder when 35 is divided by f.
8
Let j(y) = -123*y + 735. What is the remainder when j(4) is divided by 19?
15
Let d(f) = -204*f + 461. Calculate the remainder when d(-62) is divided by 114.
113
Let n(q) = 64*q + 1476. Calculate the remainder when n(-15) is divided by 105.
96
Let v(t) = -18*t - 28. Let i(n) = n**3 - 11*n**2 - 10*n - 26. Let f be i(12). What is the remainder when 22 is divided by v(f)?
6
Suppose -3*y + 101 = 65, 0*n + 5*y - 692 = -4*n. Let s(g) = 3*g + g + g**2 + 32 - 3*g. What is the remainder when n is divided by s(0)?
30
Let t(l) = 71*l**2 - 7*l - 4. What is the remainder when 10507 is divided by t(-1)?
73
Suppose 0 = -9*c + 21*c - 36. Calculate the remainder when -3*2/6*-20 is divided by (-1)/((c - 5)/22).
9
Let t be (-2 - (-19)/(-2))*8/(-4). Suppose 2*i - 110 = -a, t*i - 25*i = 2*a - 230. Calculate the remainder when a is divided by 30.
0
Let q = -109 + 148. Let x(j) = 2*j**3 - 6*j**2 + 5. Let u be x(4). Suppose -a = -2*i - 32, -i - u = -3*a + q. Calculate the remainder when 37 is divided by a.
13
Suppose 3*r + 598 = -32. Let g = 233 + r. What is the remainder when 88 is divided by g?
19
Let v = -16223 + 16508. Calculate the remainder when 11965 is divided by v.
280
Let j be -13*5/(-65)*-1*2. Calculate the remainder when (j - 90)*(-6 + (11 - 6)) is divided by 5.
2
Let a(v) = 2*v**2 - 16*v + 10. Let z be a(8). Let g(o) = o + 12. Let b be g(z). Suppose b*r = 26*r - 44. Calculate the remainder when 43 is divided by r.
10
Let g = 84 - 81. Suppose g*c - 3437 = -3416. Suppose 68 = 5*b + 2*f - 1, -5*b + 55 = -5*f. What is the remainder when b is divided by c?
6
Suppose 186*f = 202*f - 128. What is the remainder when 480 is divided by f?
0
Suppose -u + 1667 = 3*x, -1206 = -5*x - 5*u + 1569. Let p = x + -252. Suppose p = 40*y - 36*y. What is the remainder when y is divided by 20?
16
Let l(z) = -3*z**2 - 23*z - 4. Suppose 5*q - 24 = -3*x + 8*q, -3*x - 3*q = -30. Calculate the remainder when l(-5) is divided by x.
0
Let x = -22 - -19. Let m(o) = o**3 + 2*o**2 - 15*o + 14. Calculate the remainder when 3 - (x - -2)*17 is divided by m(-5).
6
Suppose 41 = -2*n + 3*n. Suppose -152*p + 24304 = 65*p. Calculate the remainder when p is divided by n.
30
Let l(p) = p**3 - 2*p**2 - 54*p - 20. Let i be l(10). Suppose 5*m - 3*x - i = -8*x, -5*m - x = -240. What is the remainder when m is divided by 13?
9
Suppose -2044*d + 51484 = -1922*d. What is the remainder when 434 is divided by d?
12
Let k(d) = d**3 + 14*d**2 + 15*d + 40. Suppose -w = w - 106. What is the remainder when w is divided by k(-13)?
11
Suppose -715 = -11*d - 539. Let u = 24 + -28. What is the remainder when 3 + -56*u/4 is divided by d?
11
Suppose -729 = -5*q - 3*g, 0*g = -3*q + 5*g + 417. What is the remainder when q is divided by 85?
59
Calculate the remainder when 167 is divided by (-18)/(((-54)/(-28))/(-9)) + (-1 - -4).
80
Suppose 0 = 4*z + 12, j + 1674 = 5*j + 2*z. Suppose 13*i - j - 958 = 0. What is the remainder when i is divided by 23?
14
Let c = 84 + -49. Calculate the remainder when 1 - 5/10*-92 is divided by 20/c*(-28)/(-2).
7
Suppose 91*l = 93*l + 4*a - 320, -4*l - 4*a = -640. What is the remainder when l is divided by 25?
10
Suppose 0*b - 896 = 16*b. Let j = b - -59. Suppose -6*s + s + j*t + 544 = 0, s = 2*t + 113. What is the remainder when s is divided by 27?
26
Let l = -17 - -24. Let j(i) = 4*i + 139. Let q be j(20). Calculate the remainder when q/18 + 5/(-30) is divided by l.
5
Calculate the remainder when (2 - -2)*(-663550)/(-200) is divided by 158.
157
Calculate the remainder when 435 is divided by (30/2*(-208)/(-78))/((-1)/(-3)).
75
Let c(p) = -372*p - 3364. Calculate the remainder when c(-10) is divided by 159.
38
Suppose 67 = -5*c + 412. Suppose -c - 135 = -12*u. What is the remainder when 43 is divided by u?
9
Suppose 24147 + 80095 + 14180 = 459*r. Calculate the remainder when 806 is divided by r.
32
Suppose 0 = 2*q - 5*h - 279, -4*q = 120*h - 124*h - 528. What is the remainder when 1038 is divided by q?
22
Suppose q + 232 = 4*i - 188, 5*i - 4*q = 525. Let a = i - 68. What is the remainder when a is divided by 16?
5
Let b = 17994 - 17936. What is the remainder when b is divided by 16?
10
Let r = 4384 - 4357. What is the remainder when 2941 is divided by r?
25
Let y(c) = 5*c**2 + 3*c - 5. Suppose -26*t - 26 = -390. What is the remainder when y(2) is divided by t?
7
Suppose -14*z + 2139 = -1448 + 451. Calculate the remainder when z is divided by 46.
40
Let l = 1626 + -1609. Calculate the remainder when 397 is divided by l.
6
Let u(o) be the first derivative of o**3/3 - 9*o**2 - 29*o - 57. Calculate the remainder when 21 is divided by u(20).
10
Let i = 105 + 57. Suppose -20*g + 98 = -i. Calculate the remainder when 74 is divided by g.
9
Let g be 54/(-4)*(-15)/(-9)*6. Let v = g - -153. Let u = -16 + 48. What is the remainder when u is divided by v?
14
Suppose -15 = -s - 9. Suppose -s*c + 1 = -23. What is the remainder when 95/c + 0 - (-6)/(-8) is divided by 4?
3
Suppose -2*x + 0*x + 4*i + 158 = 0, -i = -5*x + 368. Let p(h) = -19*h - 23. What is the remainder when x is divided by p(-2)?
13
Suppose 5*z + 192 = z. Let w be (z/40)/(2/(-5)). Suppose 19 - w = 8*c. Calculate the remainder when 3 is divided by c.
1
Suppose -3*f = 2*d + d, -5*f - 25 = 0. Suppose 0 = 4*k + m - 35, d*k + m - 3*m = 34. Let h = 34 - 3. Calculate the remainder when h is divided by k.
7
Suppose q = 14 + 7. Let j(o) = 7*o**2 - 5*o - 7. What is the remainder when q is divided by j(2)?
10
Suppose -1220 = 3*b + 2*b. Let p = b + 381. Let u(j) = -35*j**3 + 28*j**2 + 24*j - 4. What is the remainder when p is divided by u(-1)?
32
Let n(c) = -9*c**3 + 783*c**2 + 13*c + 285. Calculate the remainder when n(87) is divided by 18.
12
Let v = -5721 + 5730. Calculate the remainder when 812 is divided by v.
2
Let j(d) = -5*d + 45 - 39 - 4*d**3 - 8 - d**2. Let t(s) = s**3 + 6*s**2 + 2*s + 6. What is the remainder when t(-5) is divided by j(-1)?
3
Let p(h) = -4*h**3 - 15*h**2 - 4*h + 180. Calculate the remainder when p(-9) is divided by 315.
27
Suppose -16*r - 15 = 1. Calculate the remainder when 4*r/16*-12 is divided by 1.
0
Let m be -1*0/((-25)/5). Suppose 5*w = -p + 121, m*w + 4*p + 20 = w. Calculate the remainder when 38 is divided by w.
14
Let p = 11255 + -11211. Calculate the remainder when 835 is divided by p.
43
Suppose -14 = v + 5*c - 74, 5*c = -5*v + 220. Calculate the remainder when 688 is divided by v.
8
Suppose -3*k + 0*k - 42 = o, -12 = o - 3*k. Suppose -1120 = -70*u + 86*u