Suppose -3*f + 0*f = -144. What is the remainder when f is divided by a?
23
Let d(v) = -v - 5. Let b be d(-7). Suppose 0 - 17 = -5*r - c, 0 = -4*r + 5*c + 2. Suppose r*f = -b*f + 110. What is the remainder when 42 is divided by f?
20
Let j = 19 - 3. Let r = -5 - -11. What is the remainder when j is divided by r?
4
Suppose -5*u - 12 = 23. Let a(d) = 2*d + 5. Let p be a(u). Calculate the remainder when 17 is divided by p*(-3)/((-9)/(-2)).
5
Let w(b) = -3*b + 51. Suppose -20 = -3*l + 5*i, 0*i = -5*l - 2*i + 23. What is the remainder when l is divided by w(16)?
2
Let y(w) = 2*w - 14. Let l be y(8). Suppose 3 = b + l*h - 28, 12 = -3*h. What is the remainder when b is divided by 10?
9
Suppose -7*p + 57 = -4*p. Suppose o = -0*o + 2*a, -70 = -5*o - 4*a. What is the remainder when p is divided by o?
9
Suppose -7*b - 136 = -374. What is the remainder when b is divided by 9?
7
Let t(b) = 8*b**2 - b**3 - b + 5 + 2*b + 0*b. Calculate the remainder when 38 is divided by t(8).
12
What is the remainder when (-1456)/(-22) - 20/110 is divided by 23?
20
Suppose 0 = v - 5, -4*v + 76 + 14 = 5*y. What is the remainder when 74/3 - (-13)/39 is divided by y?
11
Let f = -5 - -10. Suppose -2*w + 2*r + 914 = 2*w, -3*w + 688 = -4*r. What is the remainder when w/30 + (-2)/(-5) is divided by f?
3
Let h = 22 - 6. Suppose 0 = 3*z - 4*d - 19, 9 = 2*z + d - 0*d. Calculate the remainder when h is divided by z.
1
Let b be ((-24)/(-3) - 0) + -3. Suppose 2*d + z = 2*z + 37, 2*d - 33 = b*z. Calculate the remainder when d is divided by 7.
5
Suppose u - 5*d - 11 = 0, -128 = 5*u + 5*d - 303. Let c = u - 15. Let i = 104 + -57. What is the remainder when i is divided by c?
15
Let t be (12/(-9))/((-2)/3). Suppose t*k = -3*k + 175. Suppose 5*p - 35 = -5*i, p - 55 = -4*p + 5*i. What is the remainder when k is divided by p?
8
Let a = 69 + -25. Suppose -a = -3*w - w. Calculate the remainder when 31 is divided by w.
9
Let x be 0/(-4*(-9)/12). Suppose -d - 12 = -3*v, v + 4*d = -x*v - 9. Calculate the remainder when 7 is divided by v.
1
Suppose 17 = 3*z - 139. Calculate the remainder when z is divided by 9.
7
Suppose -12*l = -7*l, -2*n + 30 = 5*l. What is the remainder when 134 is divided by n?
14
Suppose -2*k - 3*k = -x + 56, -3*x + 2*k = -233. Calculate the remainder when x is divided by 17.
13
What is the remainder when 5*(-1 + (-78)/(-10)) is divided by -24*(-3)/(-1 - -7)?
10
Suppose -32 = -r - 1. What is the remainder when r is divided by 11?
9
Let s(h) = -h**2 - 13*h - 20. Calculate the remainder when 62 is divided by s(-9).
14
Let u = -3 - -6. Suppose m - 44 = -3*f, u*f + m + 54 = 7*f. Calculate the remainder when 54 is divided by f.
12
Suppose o = 3*o - 34. Let w(i) = 50*i - 1. Let m(t) = -t + 1. Let s be m(0). What is the remainder when w(s) is divided by o?
15
Suppose 2*o - o = 0. What is the remainder when 50 - ((-6)/(-2) + o) is divided by 16?
15
What is the remainder when 567/12 - (-3)/(-12) is divided by 16?
15
Suppose 0 = 4*d - 50 - 50. Let r(x) = x**3 - 7*x**2 + x + 7. What is the remainder when d is divided by r(7)?
11
Let j(r) = -r - 6. Let k be j(-3). Calculate the remainder when (-6)/(-5)*70/3 is divided by (-32)/k - (-2)/(-3).
8
Let u = 33 + -19. Suppose 0 = -6*o - 16 + 334. Calculate the remainder when o is divided by u.
11
Let k = -20 + 23. Let h be 2/6 - 26/6. What is the remainder when (-35)/h - k/(-12) is divided by 5?
4
Let v(y) = -8*y - 4. Let r be v(4). Let w be (20/16)/((-3)/r). Let i = w + -4. What is the remainder when 21 is divided by i?
10
Let l(a) = a**3 - a**2 - 9. Let j be l(0). What is the remainder when 14 is divided by j/(-2) - 8/(-16)?
4
Let a(f) = f + 1. Let q(r) = -r - 7. Let s(d) = -2*a(d) - q(d). Let v be s(6). What is the remainder when 6 - (v + 5 + -2) is divided by 2?
0
Let s(k) = -4*k - 48. Calculate the remainder when 24 is divided by s(-14).
0
Let i(x) = -7*x + 17. Let r(n) = n - 2. Let s(b) = 6*i(b) + 51*r(b). Let o be s(1). Let j = -3 + o. Calculate the remainder when 10 is divided by j.
4
Suppose 0*i - 5*a = -i + 5, -i - 4*a = 4. Suppose i = -3*d + 76 - 19. Let o(b) = 2*b + 1. Calculate the remainder when d is divided by o(2).
4
Let t = -1 - 2. Calculate the remainder when 42 is divided by (-87)/(-4) - t/12.
20
What is the remainder when 73 is divided by (-3 - 0/(-3)) + 112/4?
23
Calculate the remainder when 58 is divided by 3 + 189/15 + 3/(-5).
13
Suppose 4*o - 13 - 15 = 0. Suppose -3 = -r + 5. Suppose 4*t - 55 = k, 0 = 2*k - 2 + r. Calculate the remainder when t is divided by o.
6
Let a(x) = x**3 + x**2 + 2*x + 4. Let q be a(-3). Calculate the remainder when (150/(-4))/(15/q) is divided by 17.
16
Let g = -13 + 13. Suppose -2*j + 25 + 53 = g. Suppose 5*p - 95 = -0*x - 4*x, 0 = -p + 3. What is the remainder when j is divided by x?
19
Let s(g) = g**3 - 6*g**2 + 2*g - 4. Suppose -18 = -3*r - 0*r. Let w(l) = 5*l**2 - 2*l - 2. What is the remainder when w(-2) is divided by s(r)?
6
Suppose 5*c + 5 = -0. Let a(y) = -11*y. Suppose 7 - 70 = -3*u. What is the remainder when u is divided by a(c)?
10
Let r(i) = i. Let n be r(-4). Let k(l) = -l + 0 - 5*l + l - l**2 - 2. What is the remainder when 5 is divided by k(n)?
1
Let v(r) = -r**2 + 5*r - 4. Let a be v(4). Suppose a = -5*s - 5 + 20. What is the remainder when 5 is divided by s?
2
Let k(s) = s**2 - 3*s - 6. Calculate the remainder when 105/70*(-5)/3*-34 is divided by k(-4).
19
Suppose -3*o + 188 = 29. Calculate the remainder when o is divided by 9.
8
Let g be 60/10*6/4. Let p(b) = b**3 - 8*b**2 - 3*b - 3. Calculate the remainder when p(g) is divided by 26.
25
Suppose -4*c = 3*y - 0*y - 40, 0 = 5*y + 3*c - 74. What is the remainder when 47 is divided by y?
15
What is the remainder when 35 is divided by (-12)/(-18) + (-68)/(-6)?
11
Let y = 173 - 149. Calculate the remainder when y is divided by 8.
0
Suppose -j + 132 = 3*w - 2*j, 5*w = -2*j + 209. Calculate the remainder when w is divided by 15.
13
Let m(q) = q + 9. Let p = 14 + -22. Let a be m(p). What is the remainder when (-2 - a - -2) + 3 is divided by 1?
0
Let t(g) = g - 3. Let j(u) = -51*u**2. Let z be j(-1). Let n = z + 76. What is the remainder when n is divided by t(12)?
7
Suppose 8 + 0 = 2*x. Suppose -f = x*f - 270. What is the remainder when f is divided by 19?
16
Let u = -19 - -28. What is the remainder when u is divided by 5?
4
Let f be ((-4)/(-5))/((-4)/(-70)). Suppose 4*l = n - 4*n + 10, -3*l + f = -n. Suppose 0 = 2*p, -o + 5*p + 5 = l*o. What is the remainder when 2 is divided by o?
0
Suppose -2*u = -31 - 47. Calculate the remainder when u is divided by 10.
9
Suppose -2*f + 5*v + 9 = 0, -5*f = -f - 5*v - 43. What is the remainder when 49 is divided by f?
15
Let h = 192 + -174. Calculate the remainder when 47 is divided by h.
11
Let i be 4/(-14) + 16/7. Suppose 2*d + 4*y = 8, 2*d + y - 9 = -i*d. Let u = -20 - -25. What is the remainder when u is divided by d?
1
Let m be (-12)/((0 - 3) + 2). Let s = 1 + m. Calculate the remainder when s is divided by 8.
5
Suppose 0*x - 4*x = 104. Calculate the remainder when 2*(-3 - (x - 2)) is divided by 17.
16
Calculate the remainder when (-3)/(3 - (-24)/(-7)) is divided by 2.
1
Suppose 5*f - 2*f = -12. Let l(t) = 21*t - 5. Let v(k) = -10*k + 3. Let b(p) = f*l(p) - 7*v(p). What is the remainder when b(-1) is divided by 5?
3
Let a(b) = -4*b + 3. What is the remainder when a(-2) is divided by 7?
4
Suppose 4*q = 17 - 1. Suppose 3*u - 130 = -2*u. What is the remainder when u is divided by (q*3 - 2) + -1?
8
Suppose 234 = 11*k - 30. Calculate the remainder when 36 is divided by k.
12
Let g(q) = -q**3 - 8*q**2 + 6. Let a be g(-8). What is the remainder when (26/a)/(2/24) is divided by 18?
16
Let p be (-36)/15*15/(-6). Let n = p + -4. What is the remainder when (-438)/(-11) + n/11 is divided by 14?
12
Calculate the remainder when (-87)/(-4) + (-1)/(-4) is divided by (60/(-25))/(69/15 - 5).
4
Calculate the remainder when (-5 + 1)/(4/(-8)) - 0 is divided by 6.
2
Suppose 4*h = 3*h + 5. Suppose -h*b + 26 = -154. Calculate the remainder when b is divided by 13.
10
Let j(f) be the second derivative of -f**3/3 - f**2/2 + f. Let x be 1*-4 + (-5 - -3). What is the remainder when j(x) is divided by 4?
3
Let n(t) = -t**3 + 5*t**2 - t + 5. Let r = -6 - -10. What is the remainder when n(r) is divided by 6?
5
Suppose 2*