i + 143 = 103. Calculate the remainder when i is divided by 7.
6
Suppose d = 3*q - 0*q - 17, -2*d = 3*q - 2. Suppose 3*y + 0*u - 391 = -u, -4*y - q*u + 532 = 0. Calculate the remainder when y is divided by 67.
62
Let x = 129 + -90. What is the remainder when x is divided by ((-8)/20 - 174/(-10)) + -3?
11
Let t = -190 - -204. What is the remainder when 292 is divided by t?
12
Suppose -4068 - 3519 = -8*y - 273*y. Suppose 0 = 4*f + 3*i - 403, 5*i - i = -3*f + 297. Calculate the remainder when (-1 - -1) + 2 + f is divided by y.
24
Suppose 4*m = 2*k - 108, -8 = -m - 3*m. Suppose -2*d - d - 39 = 3*w, 0 = 4*d + 4. Let v = 3 - w. Calculate the remainder when k is divided by v.
13
Let l = -38 + 44. What is the remainder when 78 is divided by (l/(-4))/((-3)/40)?
18
Let r(i) = -18 - 3*i + 2 + i - 9. Calculate the remainder when 33 is divided by r(-18).
0
Let k be (15/(-4))/((-3)/8). Suppose k*p + 79 = 11*p. Calculate the remainder when p is divided by 27.
25
Let p(o) = o + 11. Let c be p(-11). Suppose 5*l = l - n + 4, c = 5*l - 4*n + 16. Suppose l = 4*z + z - 55. Calculate the remainder when 41 is divided by z.
8
Let y(f) = 2*f**3 - 3*f**2 - 7*f. Let p(t) be the second derivative of t**3/2 - t**2 - 2*t. Let r be p(2). What is the remainder when y(r) is divided by 14?
10
Let l be 4 - 93 - (-2 + 4/2). Let n = l + 99. What is the remainder when 36 is divided by n?
6
Calculate the remainder when 48 is divided by (240/18)/((-2)/(-3)).
8
Let w = -342 + 359. Let n(j) = j**2 + 6*j + 6. Let u be n(-4). What is the remainder when w is divided by (-1 + 9)*u/(-4)?
1
Suppose -x + 5*p + 1182 = 0, 2199 + 2574 = 4*x - 5*p. Calculate the remainder when x is divided by 40.
37
Let m(g) = g - 3. Let t be m(-4). Let k(w) = 2*w + 14. Let f be k(t). Suppose -c = -f*c + 4*n + 10, 16 = 2*c - n. What is the remainder when c is divided by 4?
2
Suppose 0 = -4*r + 20 - 12. Suppose r*q - 30 = 18. Let y = 2 + 11. What is the remainder when q is divided by y?
11
Let m(s) = -s**3 + 12*s**2 - 3*s + 22. Let l be m(12). Let g = 89 - l. Calculate the remainder when g is divided by 8.
7
Suppose -2*y + 464 = 3*p, -y + 232 = -2*p + 3*p. Suppose -z = z - y. Calculate the remainder when z is divided by 17.
14
What is the remainder when 331 is divided by (-9)/(-15) + 11968/170?
47
Suppose -5*v = -31*y + 35*y - 89, -4*y + 3*v = -81. What is the remainder when y is divided by 11?
10
Let u = -3332 - -3333. Suppose -5*k = -2*n + n - 27, 0 = 3*n - 4*k + 26. What is the remainder when 3/((-1)/n - -1) is divided by u?
0
Suppose -15 - 1 = 2*o + 4*r, 5*o = 4*r + 30. Suppose -8 = 2*u + o*u. Calculate the remainder when 20 is divided by 1*(u - (-9)/1).
6
Let l be 8/12 + (-10)/6. Calculate the remainder when 277 is divided by l/(-1*4/140).
32
Let l(x) = -35*x + 405. Calculate the remainder when 97 is divided by l(11).
17
Let c(m) = -10*m - 158. What is the remainder when 43 is divided by c(-17)?
7
Suppose -v + 5*k + 2 = 5, 3*k = 5*v - 7. Calculate the remainder when 18 is divided by v.
0
Suppose 28*p = 29*p - 10. Calculate the remainder when 111 is divided by p.
1
Suppose -2*x - 5*y = -157, 3*y = -x + 47 + 32. What is the remainder when x is divided by 36?
4
Suppose -y = 2*c + 1 - 12, 3*y - 1 = 2*c. Suppose -20 = -x - c*x. Suppose -5*n + 4*r + 303 = 0, 6 = x*r - 6. What is the remainder when n is divided by 16?
15
Suppose -5*p = 5*z - 2*z - 145, 5*p - 145 = -2*z. Let h(u) = -4*u + 39. Calculate the remainder when p is divided by h(6).
14
Let z be (15/(-10))/((-2)/292). Suppose -42 + z = 3*t. Suppose 2*n = -3*x + 30, -5*n - 23 = 3*x - 98. What is the remainder when t is divided by n?
14
Let u = 159 + -147. Let p(r) = r**2 - 13*r + 18. Calculate the remainder when 8/(6/(-4) - -2) is divided by p(u).
4
Let y = -118 - -165. Let f(l) = -l**3 - 9*l**2 - l + 3. Let k(n) = -n. Let r be k(9). Calculate the remainder when y is divided by f(r).
11
Let h be 6/33 + (-4)/22. Let z(c) = -c**3 - c**2 - c + 3. Calculate the remainder when (((-825)/10)/(-15))/(2/4) is divided by z(h).
2
Suppose -7*z + 268 - 79 = 0. Calculate the remainder when z is divided by 24.
3
Let v(w) = 0*w - 3*w - 1 + 2*w. Let h be v(-3). Suppose h*x = 5 + 9. Calculate the remainder when 24 is divided by x.
3
Let l(i) = i**3 + 8*i**2 + 8*i - 9. Let v be l(-8). Let s = v + 36. Let t = -26 - s. What is the remainder when t is divided by 7?
4
Let s(x) = x**2 - 3*x - 4. Let m(t) = t + 1. Let a(n) = 7*m(n) + 2*s(n). Let y be a(3). Let f = y + -8. What is the remainder when 22 is divided by f?
10
Suppose 5*g + 4*g = 0. Suppose 3*k + 0*k + r - 128 = g, 2*r + 113 = 3*k. Suppose 2*p - 44 + 2 = 0. What is the remainder when k is divided by p?
20
Suppose -907 + 289 = -2*s. Suppose -13 - s = -3*n - 4*w, 0 = 5*n + 2*w - 546. Suppose -19*k + 140 = -14*k. What is the remainder when n is divided by k?
26
Let c be -3 + 2 - -3 - 0. What is the remainder when -2*(-123)/6 + c is divided by 23?
20
Let f = 597 - 553. Calculate the remainder when f is divided by 24.
20
Suppose 2*g + 3*s = 44, 10*g - 11*g - 4*s + 32 = 0. Calculate the remainder when ((-82)/(-6))/(2/6) is divided by g.
9
What is the remainder when (3 - (1 - 1)) + (-14 - -47) is divided by 2?
0
Suppose v + 92 = 18*p - 14*p, 0 = -2*v + 8. Calculate the remainder when 213/((-2)/4*-2) is divided by p.
21
Let h be 18/12*8/(-18)*-6. Suppose -41 = -h*d + 11. Calculate the remainder when 35 is divided by d.
9
Let j(y) = -22*y + 313. Calculate the remainder when 19 is divided by j(14).
4
Suppose 4*a - 4914 = -59*a. What is the remainder when a is divided by 43?
35
Let m be -24*(-2)/(-4)*20/(-30). Let x(w) = -w**2 + 12*w - 14. Calculate the remainder when (-2 - -80)/((-3)/(-2)) is divided by x(m).
16
Suppose 3*w = 2*c - 35 - 41, -3*c = 3*w - 84. Let p = c - 25. What is the remainder when p is divided by (2/(-6))/(1/(-15))?
2
Let x(t) = -t**3 + 20*t**2 + 47*t - 2. Calculate the remainder when x(22) is divided by 18.
10
Let l(s) = s - 4. Let z be l(6). Let k(m) = -30*m + 29. Let h be k(2). Let n = z - h. What is the remainder when n is divided by 17?
16
What is the remainder when 62/3*12*133/56 is divided by 74?
71
Let s = 63 - 116. Let y = -17 - s. Calculate the remainder when y is divided by 19.
17
What is the remainder when ((-736)/(-6) + (-32)/(-48))*3 is divided by 95?
85
Let j = 143 - 86. Suppose 0 = 2*z + 62 + 90. What is the remainder when (-75)/2*z/j is divided by 13?
11
Let y = -241 - 605. Let z = -529 - y. Suppose 3*i + 17 - z = 0. What is the remainder when i is divided by 34?
32
Let m(v) = -v**3 + 10*v**2 - 11*v. Suppose 7*d - 20 = 2*d. Suppose -2*n = -3*n - d*q + 16, -q = 3*n - 26. What is the remainder when m(n) is divided by 14?
12
Let l(o) = -o**3 + 6*o**2 + 6. Let t be l(6). Suppose -t*f + 111 + 3 = 0. What is the remainder when 52 is divided by f?
14
Let f = 378 - 312. Calculate the remainder when 256 is divided by f.
58
Suppose 0 = -0*j + 2*j + 4*c - 38, c - 55 = -4*j. Suppose 2*w - 39 = j. What is the remainder when 101 is divided by w?
23
Suppose 0 = -2*p + 8, -4*v + 0*v + 684 = -4*p. Calculate the remainder when v is divided by 22.
21
Suppose 4*p + 8 = 0, 3*n + 24*p = 25*p + 236. What is the remainder when 96 is divided by n?
18
Let y(h) = -h**3 - 3*h**2 + 8*h + 6. Let p(c) = -3*c**3 + 19*c**2 - 4*c + 81. What is the remainder when p(6) is divided by y(-5)?
13
Let s(i) = i**2 + 16*i + 6. Let a be s(-15). Let z(u) = u**2 + 10*u + 13. What is the remainder when 21 is divided by z(a)?
1
Let k(z) = 4*z**2 + 11. Let s be (-13)/((-390)/20) - (-20)/6. Calculate the remainder when k(s) is divided by 6.
3
Suppose 0 = -4*n + 2*x - 3*x + 37, 0 = -n + 4*x + 22. Let s(t) = -t**3 + 9*t**2 - 9*t + 2. Calculate the remainder when s(7) is divided by n.
7
Suppose 0 = -g, 566 + 74 = 5*c - 4*g. Let h(l) = l**2 - 127*l + 3876. What is the remainder when c is divided by h(77)?
24
Let o(h) = h**2 + 4*h + 2. Let m be o(-2). Suppose 10 = -3*j + 67. Let u = j + m. What is the remainder when 50 is divided by u?
16
Let l = 17 - 27. Let a(r) = r**3 + 6*r**2 + 6*r + 2. What is the remainder when (-45)/l*26/3 is divided by a(-4)?
9
Suppose r - 198 = -3*s, 21*s + 133 = 23*s + r. Calculate the remainder when 114 is divided by s.
49
Let m(h) = 2*h**2 + 46*h + 75. Let w(g) = g**2 + 24*g + 38. Let z(y) = -3*m(y) + 5*w(y). What is