ainder when c is divided by 1.
0
Suppose -5*f + 540 = -l, -5*f - 5*l + 577 - 67 = 0. What is the remainder when f is divided by 14?
9
Suppose -3*k - 12 = 42. Let r(c) = -c**2 - 21*c - 41. Calculate the remainder when 33 is divided by r(k).
7
Let f = 28 + -12. Suppose 130 + 180 = 5*p. Suppose -g + p = g. Calculate the remainder when g is divided by f.
15
Let a be (1 + -1)*(2 + 1 + -2). Suppose -t - 4 = a, -8*f + 3*t = -6*f - 44. Calculate the remainder when 93 is divided by f.
13
Let w(f) = -f**2 - 38*f - 25. Calculate the remainder when 258 is divided by w(-37).
6
Let d(j) = -j**3 - 12*j**2 - 6*j - 22. Calculate the remainder when 183 is divided by d(-12).
33
Suppose -z + 0*z - 8 = -2*f, 5*f = -z + 34. Let g = 21 - f. Suppose 3*w - g = 3. Calculate the remainder when 23 is divided by w.
5
Let o(b) = 24*b**3 + b**2 - b + 1. Let l(f) = 2 - 2*f - 6*f + 2*f. What is the remainder when o(1) is divided by l(-2)?
11
Let w be -2 - 0 - (-10 + 0). Let h(x) = -3*x + 4. Let k(b) = -10*b + 12. Let j(m) = -14*h(m) + 4*k(m). What is the remainder when j(w) is divided by 3?
2
Let t = 308 + -275. Let c = 625 - 329. Calculate the remainder when c is divided by t.
32
Let z = 1707 - 1692. Let i = -68 + 125. What is the remainder when i is divided by z?
12
Suppose 0*x + x + 4*n - 32 = 0, -5*x = 5*n - 100. Calculate the remainder when 41 is divided by x.
9
Suppose 4*v - 7*v - 5*j + 99 = 0, 0 = 3*v + 3*j - 93. Calculate the remainder when 141 is divided by v.
1
Let i(r) = 2*r + 26. Calculate the remainder when 53 is divided by i(-6).
11
Let y = 411 - 274. Calculate the remainder when y is divided by 47.
43
Suppose 2*a - 5*v - 105 = 0, 10*a - 4*v - 305 = 5*a. Let w(o) = o**3 - 8*o**2 - 8*o + 8. What is the remainder when a is divided by w(9)?
14
What is the remainder when 17 is divided by (3 + 17)/((4 - 7) + 5)?
7
Suppose 20 = -4*c + 12. What is the remainder when (-95)/(-2) + (-3)/(-12)*c is divided by 10?
7
Suppose 0 = -7*l + 443 - 296. Let u = -72 + 132. What is the remainder when u is divided by l?
18
Suppose -5*a = -5*p - 2*a + 54, -12 = -3*p - 5*a. Suppose p*y = 2*y + 77. Calculate the remainder when y is divided by 3.
2
Suppose -84 = 2*r + 2*r. Let f be (-366)/r + (-9)/21. Let m = 22 - f. Calculate the remainder when m is divided by 4.
1
Let b(c) = c**2 + 5*c + 5. Let k be b(-6). Let i be 432/(-44) - 2/k. Calculate the remainder when 2 - -1 - (i + -10) is divided by 8.
7
What is the remainder when (-31)/(-3)*(-174)/(-58) is divided by (47/(-15) - -3) + 1028/60?
14
Let j(i) = -i**3 + 7*i**2 - 8*i + 26. Calculate the remainder when 26 is divided by j(6).
12
Let d be 8/(-6) - (-800)/24. Suppose -2*w + 5*g = -31, -4*w + 5*g + d = g. Suppose -12 = -4*s + 12. Calculate the remainder when s is divided by w.
0
Let g(p) be the first derivative of -p**4/4 + 4*p**3/3 + p**2/2 + p + 1. What is the remainder when g(3) is divided by (-52)/(-10) - 5/25?
3
Let k = -14 + 36. Let q(p) = p**3 + 6*p**2 + p + 5. Let m be q(-6). What is the remainder when (-4 - -1)/(m/21) is divided by k?
19
Calculate the remainder when 4/(-30) + 7168/210 + 4 is divided by 13.
12
Let z(b) = b**2 - 22*b + 23. Calculate the remainder when z(22) is divided by 9.
5
Let s(d) = -d**3 + d**2 - d + 32. Let c be s(0). Suppose 102 - c = 5*h. Calculate the remainder when (-1)/((h/(-132))/7) is divided by 17.
15
What is the remainder when 109 is divided by 2*(72/3)/3?
13
Let b(h) = -h + h**2 + 7*h - 1 - 5*h - 2*h. Let f(k) = -25*k**2 - 3*k - 1. Let w(d) = 2*b(d) - f(d). What is the remainder when 80 is divided by w(1)?
26
Suppose 4*j - 268 = -4*s, 0 = -s - 6*j + 3*j + 75. Calculate the remainder when s is divided by 9.
0
Suppose 4*o - 280 = 4*z, 0 = 3*o - z + 5*z - 224. Suppose 7*j - 250 = -3*j. What is the remainder when o is divided by j?
22
Let i = -108 - -176. Suppose 3*q - 51 - i = 4*u, -2*q + 61 = u. What is the remainder when q is divided by 12?
9
Let l(q) = 5*q - 19. What is the remainder when l(17) is divided by (-4)/(-10)*5*5?
6
Let k(f) = f**2 + 3*f - 72. Suppose -3*l + 129 = -0*l. What is the remainder when l is divided by k(8)?
11
Suppose -19 + 67 = -5*r - 3*c, 0 = -3*r - c - 28. Calculate the remainder when 8 is divided by -4 + (r/(-1) - -1).
2
Let p be (-130)/(-35) + 4/14. Calculate the remainder when 6 is divided by (-4 - p - -4) + 8.
2
Let l = -7 + 16. What is the remainder when l is divided by (5 + (-195)/35)/((-2)/28)?
1
Suppose 13*j - 282 = 719. Suppose 70 + 125 = 5*q. What is the remainder when j is divided by q?
38
Suppose 1372 + 36 = 11*r. Let g(q) = -q**3 + 9*q**2 - 5*q + 9. Calculate the remainder when r is divided by g(8).
29
Let g be 6/(-42) - 52/28. Calculate the remainder when 17 + (14/4 - (-1)/g) is divided by ((-24)/10)/(5/(-25)).
8
Suppose 5*u - 4*w = 17, -8*u - 5*w = -2*u + 9. Calculate the remainder when 1 is divided by u.
0
Calculate the remainder when (-663)/(-5) + (-138)/230 is divided by 19.
18
Let x = -30 - -20. Let g = x + 28. Calculate the remainder when 50 is divided by g.
14
Let r be 6/(-9) - (-92)/(-6). Let h = 52 + r. Suppose -o + h = 2*o. What is the remainder when 46 is divided by o?
10
Suppose -3*x + 40 = 5*x. Let z(k) = k**3 - 3*k**2 - 7*k - 6. Calculate the remainder when (-1)/(-4) + (-285)/(-12) is divided by z(x).
6
Let r(n) = n**2 - 2*n - 3. Let j be r(5). Let c = j + -3. Let d = 55 + -40. What is the remainder when d is divided by c?
6
Suppose 3841 = 15*g + 421. Let u(b) = -b**3 + 7*b**2 + b - 3. Let k be u(7). Suppose -k*y + g = -y. Calculate the remainder when y is divided by 13.
11
Suppose 11*h - 13*h + 10 = 0. Suppose p + 568 = h*p. What is the remainder when p is divided by 11?
10
Let f(m) = -m + 86. Suppose -3*b + 2*b = 84. Calculate the remainder when f(33) is divided by (b/15)/(6/(-15)).
11
Let z(s) = 96*s**3 - 14*s**2 - 3*s - 97*s**3 + 6 - 2. Calculate the remainder when z(-14) is divided by 16.
14
Let p be 396/(-14) + (1 - 25/35). Let z = p - -48. Calculate the remainder when z is divided by 13.
7
Suppose 4*f + 5*j = 11 - 1, 6 = -3*j. Suppose -2*l + 40 = -f*q, -3*q + 24 = 2*l - 0*l. Calculate the remainder when 59 is divided by l.
14
Let s = -19 - -21. Suppose 0 = -2*h + 2 + s, -4*x = 5*h - 206. Calculate the remainder when x is divided by 26.
23
Suppose 575 = 62*f - 417. Calculate the remainder when 431 is divided by f.
15
Suppose -3 - 114 = -3*u. Suppose -4*w + 252 = -0*w. Calculate the remainder when w is divided by 10/(-65) - (-630)/u.
15
Suppose -j = -1, -2*w + 5*j + 13 = -146. Let c = -55 + w. Suppose -2*u - 2 = 0, -c - 93 = -5*m - 5*u. Calculate the remainder when m is divided by 13.
12
Let o(f) = 109*f**2 + 19*f - 18. Calculate the remainder when 762 is divided by o(1).
102
Let u(n) = n**2 - 4*n + 4. Let o be u(2). Suppose o = 5*t - 0*t - 140. Let d = 36 - t. What is the remainder when d is divided by 3?
2
Let g be 94/(-4)*(4 - 2). What is the remainder when (-11)/11*(-1 + g + 1) is divided by 25?
22
Let a(x) = 2*x**3 + 3*x - 2. Suppose -2*n + 150 = 3*n. What is the remainder when n is divided by a(1)?
0
Suppose -3*g - 3 + 561 = 0. Calculate the remainder when g is divided by 28.
18
Let a(u) = 12*u**2 - 22*u - 17. Suppose 3*w - 43 = 2*w. What is the remainder when w is divided by a(-1)?
9
Suppose 18 = -4*u + 2*z, -u - 5 = 5*z - 6*z. Let x(c) = 24*c**2. What is the remainder when x(-1) is divided by 5*3/(-12)*u?
4
Suppose -4*j = j - 30. What is the remainder when (-24)/(-16)*8/j is divided by 2?
0
Suppose 5*u + 62 = -2*d, -5*u + 8*u + 3*d = -30. Let n = 2 - u. What is the remainder when n is divided by 10?
6
Let s(p) = 2*p**2 + 40*p - 11. Let f be s(-19). Let m = 2 - f. Suppose 2*t + 52 = 6*t. Calculate the remainder when m is divided by t.
12
Suppose -74 - 82 = -4*z. Let k = 88 + -86. Suppose -2*n = -k*d - 22, -d = 4*n - 0*d - 24. What is the remainder when z is divided by n?
4
What is the remainder when (-4)/34 - 95571/(-697) is divided by 5?
2
Suppose 0 = -x - 3*x. Suppose x*d = 3*d - 33. Suppose 5*g + 1 = -i + 5*i, 0 = -5*g + i + d. What is the remainder when g is divided by 1?
0
Let a = 368 - 76. Calculate the remainder when a is divided by 14.
12
Suppose 19*f = -12*f + 170 + 171. Let p(t) = 4*t**2 - 2*t. Calculate the remainder when p(3) is divided by f.
8
Let n(p) = -79*p - 1. Suppose -3*c + 3*j = -12, -3*c - 2*j - 13 = -0. What