 + 3 is divided by 4.
1
Let k(r) = 42*r + 4. Let n(a) = 21*a + 2. Let y(u) = -6*k(u) + 11*n(u). Calculate the remainder when 35 is divided by y(-1).
16
What is the remainder when 647 is divided by (-3)/(-6)*-10*-26?
127
Let o be (-4)/18 + -10*30/108. What is the remainder when 40 is divided by (-3 + 5)*(o - (-51)/6)?
7
Let v(a) = a**3 + a + 17. Let r = 44 + -27. Suppose 5 = -3*x + k, 4*x - 2*k = -r + 7. What is the remainder when 31 is divided by v(x)?
14
Let q = 10 + -5. Suppose q*b = r - 24, -3*r - 5*b = r + 4. What is the remainder when r is divided by 3?
1
Let q(m) = -m**3 - 4*m**2 + 12*m + 29. Let j = 133 + -19. What is the remainder when j is divided by q(-6)?
27
Let f(y) = -y**2 - 5*y - 3. Let s be f(-3). Let h(l) = -3*l + 140*l**2 + 2 - s - 58*l**2. Calculate the remainder when h(-1) is divided by 17.
16
Suppose 0 = f - 2. Suppose 59 = 4*d + f*j - 21, 3*d + 3*j = 60. Let a(m) = -m**3 - 3*m**2 - m + 4. What is the remainder when a(-5) is divided by d?
19
Let v(y) be the third derivative of -49*y**4/12 - y**3/2 + 12*y**2. What is the remainder when v(-1) is divided by 33?
29
Let s = -8 - -12. Suppose 0*g + s*g = -5*a + 40, 2*g - 2*a = 2. What is the remainder when g is divided by 3?
2
Suppose 15*c = 644 + 5461. Calculate the remainder when c is divided by 52.
43
Suppose -32 - 159 = -a + 2*l, -a = -3*l - 189. Calculate the remainder when a is divided by 49.
48
Suppose 2*o + 6 = 4*x - 6, -28 = -5*x - 4*o. Suppose q + x*q + 3*j - 723 = 0, 715 = 5*q + 5*j. Calculate the remainder when q is divided by 25.
22
Calculate the remainder when (-52 + -10)/(1 - 2) is divided by 4 + -1 - (-2 + -16).
20
Let f be 7*(26/(-7) + 4). Let s = 6 + f. Calculate the remainder when 39 is divided by s.
7
Let l(s) = -s**2 + 20*s + 10. Calculate the remainder when l(14) is divided by 20.
14
Suppose 5*r + s = 10*r - 159, -s - 31 = -r. What is the remainder when r is divided by 5?
2
Let k = 116 + 224. What is the remainder when k is divided by 51?
34
Suppose 0 = -145*k + 149*k - 5*o - 45, 5*k - 30 = o. Suppose 0 = 4*d + 70 + 26. Let s = -15 - d. Calculate the remainder when s is divided by k.
4
What is the remainder when 65 is divided by (-12)/72 - 741/(-18)?
24
Let p(z) = z**3 + 7*z**2 + 8*z + 1. Let c(d) = -d**2 + 5*d - 10. Let s be c(3). What is the remainder when 59 is divided by p(s)?
8
Suppose 2*g - 36 = -5*v, 2*v + g = 12 + 2. Suppose -5*c - s = -7, -1 - 15 = -2*c + 4*s. What is the remainder when v is divided by c?
0
Calculate the remainder when (-28350)/140*-2*3/5 is divided by 7.
5
Let g(b) = b**3 + 25*b**2 - 56*b + 22. Calculate the remainder when g(-27) is divided by 16.
12
Suppose 399 = 4*a - 5*k - 276, 2*a = -2*k + 360. Let o = -162 + a. Calculate the remainder when 64 is divided by o.
12
Suppose 0 = 4*i - 8, 3*i - 55 = m + 5. Let k = m + 111. What is the remainder when k is divided by 15?
12
Suppose -70 = -5*m + 3*d, -56 = -4*m - 8*d + 13*d. Suppose r = -3*r - 8. Calculate the remainder when 56 is divided by 273/m - r/(-4).
18
Let o = 22 + -11. Let b(w) = 6*w**2 + 0*w - 6*w - w - 16 + 6*w**2 - w**3. What is the remainder when 83 is divided by b(o)?
27
Let d(m) = -75*m + 1. Let g be d(-1). Suppose -4*t + w = -g, 2*w = -0*t + 2*t - 44. Let n = 114 + -63. What is the remainder when n is divided by t?
15
Let p = -7 - -9. Suppose -5*w = p*a - 0*a - 155, 5*a + 3*w = 435. Calculate the remainder when a is divided by 187/6 + (-9)/54.
28
Suppose -4*p - 3*l + 373 = 0, 0 = -4*p + 3*l - 7*l + 368. What is the remainder when 1355 is divided by p?
94
Let o be (-4 + 7)*-1 + 16. Suppose o - 6 = f. Calculate the remainder when 25 is divided by f.
4
Suppose 570 = 5*v - 3*t + 79, 91 = v + 3*t. Calculate the remainder when v is divided by 27.
16
Suppose v - 289 = -5*g, -227 = -4*g - 4*v - v. What is the remainder when 226 is divided by g?
52
Let i(c) = 45*c + 102. Calculate the remainder when i(-2) is divided by 12.
0
Suppose 5*r + 4*t - 1 = -5, t + 1 = -5*r. Suppose r = w - 5 + 2. What is the remainder when (-156)/(-48) + (-2)/8 is divided by w?
0
Let u(v) = 7 + v**3 - 8*v**2 - 183*v + 197*v + 0*v**3. What is the remainder when 9 is divided by u(5)?
1
Let h(p) = 184*p**3 - 2*p - 2. Let l be h(-1). Let j = -110 - l. Calculate the remainder when j is divided by 11.
8
Let b be (-2)/7 + 37/7. Suppose -58 + 8 = -b*h. What is the remainder when h is divided by (2/3 + -1)*-9?
1
Suppose -9*m - 60 + 564 = 0. What is the remainder when 334 is divided by m?
54
Let y = -8 + 12. Let o = y + -6. What is the remainder when 14 - o*3/6 is divided by 8?
7
Let k = 67 - 47. Calculate the remainder when 135 is divided by k.
15
Calculate the remainder when 108319/114 + 5/(-30) is divided by 119.
117
Let b(m) = -m**3 - m**2 + 11. Suppose -31*h = -22*h - 864. Calculate the remainder when h is divided by b(0).
8
Let g(d) = -d**2 - 3*d + 4. Let w be g(1). Calculate the remainder when (-8 + w)*(-9)/6 is divided by 2.
0
Let m = -112 + 112. Suppose -137 = -5*u - t + 62, 5*u - 4*t - 204 = m. What is the remainder when u is divided by 21?
19
Let o(j) = 5*j**2 + 4*j - 3. Calculate the remainder when 1597 is divided by o(2).
22
Let f(n) = n**2 + 4*n + 25. What is the remainder when 168 is divided by f(-8)?
54
Let z = 12 + -2. Let g(v) = 3*v**2 - 13*v - 9. What is the remainder when g(7) is divided by z?
7
Suppose 0 = 78*q - 51*q - 3861. What is the remainder when q is divided by 66?
11
Calculate the remainder when 273 is divided by (676/(-39))/(4/(-6)).
13
Suppose -242 = 27*o - 29*o. What is the remainder when o is divided by 18?
13
Let d(z) = 4*z**2 - 7*z. Suppose -16*v + 5*v = -66. Calculate the remainder when d(v) is divided by 15.
12
Suppose -4*s + 4*h - 16 = 0, -1 = -0*h - h. Let j = 8 - s. What is the remainder when j is divided by 3?
2
Let g(r) = 5*r + 118 + 4*r - 119. Let n(y) = -y + 4. Let t be n(3). What is the remainder when 23 is divided by g(t)?
7
Let p(z) = -z**2 + 4. Let t(s) = -2*s**2 + s + 9. Let i(j) = -7*p(j) + 3*t(j). Let h be i(-3). What is the remainder when (-21)/(h*4/12) is divided by 16?
15
Let d(f) = -f**3 + 10*f**2 - 6*f - 2. Calculate the remainder when d(9) is divided by (-7 - 238/(-35)) + 92/10.
7
Let r be 2/5 - 2106/15. Let n be (0 + -21)/((-30)/r). Calculate the remainder when n/(-4) + 2/4 is divided by 7.
4
Let u(p) = 63*p + 561. Calculate the remainder when u(-8) is divided by 78/4 + (-3)/(-6).
17
Let o(i) = i**2 - i. Let p = 9613 + -9537. Calculate the remainder when p is divided by o(-4).
16
Let w be (5 - 1)/(10/(-25)). Let t = -8 - w. What is the remainder when 4 is divided by t?
0
Let q(p) = -8*p + 638. Suppose o = 2*o - 9. What is the remainder when q(78) is divided by o?
5
Suppose 4*p + 2*a = 5*a + 912, -p - 5*a = -205. Suppose 0 = 5*j - 457 - 303. Let l = p - j. What is the remainder when l is divided by 19?
16
Let s be (0 + 7)*1 - 3. Suppose -5 = s*o - 13. What is the remainder when 4 is divided by o?
0
Let w(s) = -4*s**2 - 15*s + 9. Let j(i) = -3*i**2 - 10*i + 6. Let u(l) = 7*j(l) - 5*w(l). Calculate the remainder when u(3) is divided by 2.
1
Let c = -1827 - -1843. Calculate the remainder when c is divided by 9.
7
Let d(m) = -m**2 + 5*m - 2. Let u be d(3). Let y be (u/6)/((-3)/9). Calculate the remainder when -3 + (-28)/y - -3 is divided by 4.
2
Let q(z) = -z + 28. What is the remainder when 417 is divided by q(6)?
21
Suppose s + y + 20 = 1, 2*s = -4*y - 38. Let q = 21 - s. What is the remainder when q is divided by 6?
4
Let b(z) = -z**3 - 2*z**2 + 7*z + 13. What is the remainder when b(0) is divided by 9?
4
Suppose -2*j = 2*j + 44. Let m = 21 - j. Suppose -a - a = -m. Calculate the remainder when a is divided by 6.
4
Suppose -2*t - 380 = -4*c, -5*t = 5*c - 8*c + 299. Calculate the remainder when c is divided by 12.
9
Let x(d) = 2*d**2 - 23*d - 212. Calculate the remainder when x(-19) is divided by 28.
23
Suppose 3*v = -4*v + 504. Calculate the remainder when 213 is divided by v.
69
Suppose 2*r + 47 - 165 = 0. Let m = r - 39. Calculate the remainder when m is divided by 12.
8
Let v(w) = w**3 - 7*w**2 - 8*w + 2. Suppose 4*i - 24 = -4*m, 0 = 4*m - 3*i - 4 - 6. Suppose -m*b = -b - 24. What is the remainder when v(b) is divided by 2?
0
Let p = 136 + -131. Calculate the remainder when 118 is divided by p.
3
Suppose -w + 3*a = -3*w - 85, 0 = 4*w + a + 185. Let s