r when 13 is divided by y/(-27) + (-47)/(-9).
3
Suppose 7*x - 2*x - 2*q - 490 = 0, 98 = x + 3*q. What is the remainder when x is divided by 25?
23
Suppose 5 + 731 = 16*f. What is the remainder when 91 is divided by f?
45
Let d = -4 + 51. Let j = d - 13. Let s(r) = r**2 - 4*r. Calculate the remainder when j is divided by s(6).
10
Let w(j) be the first derivative of 2 - j**2 + 1/4*j**4 + 0*j + 5/3*j**3. Calculate the remainder when 19 is divided by w(-5).
9
Let s = 14 + -29. What is the remainder when 23 is divided by (-58)/(-5) + (-6)/s?
11
Suppose 0*o - 4 = 2*o + 5*d, -15 = 3*o + 3*d. Let v(p) = p**2 + 5*p - 1. What is the remainder when 24 is divided by v(o)?
11
Suppose -5*k - c = -46, -23 = 3*k + 5*c - 55. Let a = 23 + 10. Calculate the remainder when a is divided by k.
6
Suppose -g - g = -36. Let a(y) = -y**2 - 5*y + 10. Calculate the remainder when g is divided by a(-5).
8
Let o be 2/(-7) - 46/(-14). Suppose 0*t + o*t - k = 35, t + 3*k - 25 = 0. What is the remainder when (9/4 + 4/(-16))*25 is divided by t?
11
Let r be 0/(-2)*(-1)/(-2). Let f = 4 + r. Let b = 8 - 6. Calculate the remainder when f is divided by b.
0
Suppose 0 = -a - 0*a + 35. Let n(x) = x**3 + 11*x**2 + 9*x - 1. What is the remainder when a is divided by n(-10)?
8
Let t(s) = -2*s. Let x be t(1). Let j(m) = -2*m + 1. What is the remainder when (-6)/(-14) + (-616)/(-49) + 0 is divided by j(x)?
3
Let m(x) = 20*x**2 + 2*x + 1. Let l be (1 - 2) + (4 - 4). What is the remainder when m(l) is divided by 10?
9
Suppose 189 = 2*o + 7*o. Calculate the remainder when 41 is divided by o.
20
Let w(r) = 2*r**3 - 4*r**2 + r + 4. Calculate the remainder when 74 is divided by w(3).
24
Let d = -22 + 36. Suppose y + 80 = -4*y. Calculate the remainder when d is divided by 6/(-18) + y/(-3).
4
Suppose 3*w = 71 + 37. Calculate the remainder when w is divided by 13.
10
Let w(r) = r**2 + 4*r - 4. Let c be w(-5). Calculate the remainder when c + 25 + 6 + -5 is divided by 7.
6
Let y(n) = 4*n. Let p be y(2). Suppose q - p + 0 = 0. Let j = -2 + 7. What is the remainder when q is divided by j?
3
Suppose o - 28 = 15. Calculate the remainder when o is divided by 15.
13
Let t(f) = -f - 3. Let z = 38 + -19. Calculate the remainder when z is divided by t(-10).
5
Let k = -19 - -10. Let l be 152/36 + 2/k. Let x = -3 + l. What is the remainder when x is divided by 1?
0
Let i = -16 - -25. Let o(t) = t**3 + 7*t**2 + 5*t - 3. What is the remainder when o(-4) is divided by i?
7
Let h = 2 + 0. Let b(p) = -2*p - 4. Let x be b(-3). Suppose -s - 5 = -x*l, l = -2*s - h*l + 18. What is the remainder when 5 is divided by s?
2
Let x be 2/3 - (-2)/6. Calculate the remainder when x - 1 - (-50 + 1) is divided by 13.
10
Calculate the remainder when 2/(-6) + 440/15 + -8 is divided by ((-2)/4)/((-1)/12).
3
Let k(w) = -w**3 + 5*w**2 + w - 2. Let d = 5 + 2. Calculate the remainder when d is divided by k(5).
1
Suppose 3*v + 20 = 4*x, -4*v + 0*x - 20 = -4*x. Suppose v = -0*u + 5*u. Calculate the remainder when (4/2 - u) + 30 is divided by 17.
15
Let r(v) be the first derivative of v**3/3 - v**2 + v + 1. Let t(z) = 2*z**2 + 4*z + 3. Calculate the remainder when r(3) is divided by t(-2).
1
Let s be 3/(3*(-3)/6). Let q(a) = a + 4. Let z be q(s). Calculate the remainder when 35 is divided by (4 - z)*(6 + 0).
11
Let b(m) = -4*m - 6. Let f be (-40)/3 - (-7)/21. Calculate the remainder when b(f) is divided by 24.
22
Suppose -3*g + 77 = -4*z, 5*g - 5*z - 65 = 55. Calculate the remainder when 92 is divided by g.
16
Suppose -31*q = -28*q - 15. Calculate the remainder when 7 is divided by q.
2
What is the remainder when 51 is divided by ((-12)/16)/((-15)/520)?
25
Suppose 5*o - 207 = -5*p - 42, -o + 99 = 3*p. What is the remainder when p is divided by 5?
3
Suppose 26 = 2*a + 4. What is the remainder when a is divided by 3?
2
Let l(o) = o**2 - 2*o + 5. Let r be l(-4). Let k = -18 + r. What is the remainder when 32 is divided by k?
10
Let w = 3 + 24. Suppose -k + w = 4*u, 4 = -2*u + 3*u. What is the remainder when 43 is divided by k?
10
Let h = 0 - 0. Let l(c) = 0 + h - c**3 + 2 - c**2. Calculate the remainder when 16 is divided by l(-2).
4
Let u = -45 - -68. Let z(q) = -q**3 - 3*q**2 - 2*q + 2. Suppose -4*f = 5*o - 15 + 2, -f - 23 = -4*o. Calculate the remainder when u is divided by z(f).
7
Suppose 3*r - 5*v = 142, -4*v + 0*v + 36 = r. What is the remainder when r is divided by (10/(-6))/((-2)/18)?
14
Let a(u) = 23*u**2 - u. What is the remainder when 63 is divided by a(1)?
19
Suppose -k - 4*k - i = -64, -4*i = -2*k + 8. Suppose 4*s - 32 = -0. Calculate the remainder when (-182)/(-8) + 2/s is divided by k.
11
Let o = -2 - -3. Let y be (1 - 3) + -1 + 2. Let j(z) = z**2 + z + 1. Calculate the remainder when o is divided by j(y).
0
Let p(j) = j**3 - j + 19. Suppose 4*d - 228 = -4*z + z, 278 = 5*d + 2*z. Calculate the remainder when d is divided by p(0).
16
Suppose 0 = -0*t + 4*t. Let i be 5*5 + t/(-3). Suppose -i = -4*q + 5*g, 0 = -4*q + 3*g - 2*g + 21. What is the remainder when q is divided by 2?
1
Let p be (-9)/6*(-4)/3. Suppose 2*s - p*r = -s + 94, -s - 4*r + 22 = 0. What is the remainder when s is divided by (-10)/(1 - -4) + 18?
14
Let z = -9 + 16. What is the remainder when 32 is divided by z?
4
Calculate the remainder when 10 is divided by (3/(-4))/((-8)/96).
1
Suppose -16 = 2*i - 3*i. Suppose 237 = 8*b - 115. What is the remainder when b is divided by i?
12
Suppose 5*k + 3 = 13. Suppose k*m = -6 - 4, -103 = -2*l + 5*m. Let w = 35 - 15. Calculate the remainder when l is divided by w.
19
Let x(w) = 5*w**2 + 3*w + 6. Calculate the remainder when 39 is divided by x(-2).
19
Let t(g) = g**2 + 11*g + 6. What is the remainder when 9 is divided by t(-11)?
3
Let f(s) = s**3 - 5*s**2 - 4*s - 1. Suppose 6*i + 3*i - 288 = 0. What is the remainder when i is divided by f(6)?
10
Suppose 3*h + 6 = 0, 4*h + 193 = -3*x - 382. What is the remainder when 40 is divided by 2/4 - x/14?
12
Let u = 17 - 8. Suppose 2*y = i - 7, 3*i - 5*y + 7 = 27. Suppose i*d = w + 4 + 16, -3*d = -4*w + 5. Calculate the remainder when u is divided by d.
4
Let r(g) = -6*g + 3. Calculate the remainder when 26 is divided by r(-1).
8
Let b(t) be the third derivative of 7*t**5/60 + 4*t**2. What is the remainder when (27/4)/(3/12) is divided by b(1)?
6
Let u(h) = h**3 - 6*h**2 - 8*h - 2. Let z be u(7). Calculate the remainder when 17 is divided by 2 - (z - (-1 - 1)).
8
Suppose 5*q = 2*a + 84, 4*q = -4*a + 76 + 8. What is the remainder when (q/(-21))/(2/(-98)) is divided by 11?
9
Let t = -2 - -13. Let j = t - 5. Let g(s) = s**3 + 6*s**2 - s - 3. Calculate the remainder when j is divided by g(-6).
0
Let a(q) = q**2 - q. Let z(u) = -15*u**2 - 3*u - 1. Let y(f) = a(f) - z(f). Calculate the remainder when 57 is divided by y(-1).
12
Suppose -2*k + 17 = t - 9, -2*t = -3*k + 32. Let j = k - -14. Calculate the remainder when j is divided by 14.
12
Let u(n) = -n + 2*n**2 - n**2 - 1 + 2. What is the remainder when 24 is divided by u(-3)?
11
Calculate the remainder when 1274/65 - (-2)/5 is divided by 11.
9
Suppose 3*v - 2 = 4. What is the remainder when 10 is divided by v?
0
Suppose 1 = w - 1, -84 = -5*p - 2*w. Suppose 5*d - 16 = 219. Calculate the remainder when d is divided by p.
15
Suppose -46 = -4*a + 6. Let f(o) = 4*o**2 - 2*o - o**2 - 2*o**2 + 1. Calculate the remainder when f(6) is divided by a.
12
Let m = 39 + -28. Calculate the remainder when 31 is divided by m.
9
Suppose -68 = -3*z + 61. Suppose 3*g + 3*q - 21 = -0*q, q = -5*g + z. Let b = g + -1. Calculate the remainder when b is divided by 3.
2
Suppose 5*h + 0*h = 2*i + 13, h - 1 = 2*i. Calculate the remainder when 8 is divided by h.
2
Suppose -3*c + 2*v = -86, -3*c = -c + 4*v - 36. Calculate the remainder when c is divided by 7.
5
Suppose 5*k + 5*h = 30, -5*k + 0*h + 34 = 4*h. Calculate the remainder when 48 is divided by k.
8
Suppose -8*t = -5*t - 27. Let d(k) = k**2 - 2*k + 7. Calculate the remainder when d(-5) is divided by t.
6
Let s(d) = -34*d - 16. Calculate the remainder when s(-2) is divided by 27.
25
Let m(f) = 15*f**2 + f - 1. Calculate the remainder when 58 is divided by m(1).
13
Suppose 0 = -3*y + 5*z - 11 + 58, 3*y = -5*z + 97. What is the remainder when 119 is divided by y?
23
Suppose -22 = -5*u + 28. Let c = u + 19. Calc