Suppose -54 = -k*b + 31. Calculate the remainder when 63 is divided by b.
12
Let z(i) = i + 1. Let y(t) = -2*t**2 + 3*t + 4. Let q(r) = -y(r) + 4*z(r). What is the remainder when 9 is divided by q(1)?
0
Suppose g - 2*g + 4 = 0. Suppose g*b - 103 = 25. Suppose -4*p = 2*s - 44, -4*p - 7*s + 44 = -2*s. Calculate the remainder when b is divided by p.
10
Let z = -1515 - -1523. Calculate the remainder when z is divided by 7.
1
Let z = 533 + -408. Calculate the remainder when z is divided by 9.
8
Let p(n) = -2*n**3 - 29*n**2 + 9*n - 42. What is the remainder when p(-15) is divided by 25?
23
Suppose -7*q = -731 + 241. Suppose -z + 2*j = -2*j - 42, q = 3*z + 2*j. What is the remainder when z is divided by 14?
12
Let x(i) = i**2 - 2*i + 3. Let z be x(2). Suppose -y - q + 61 = z*y, 4*y - q - 59 = 0. What is the remainder when 27 is divided by y?
12
Let f = -60 - -61. Calculate the remainder when (f + -3 - (-6)/(-3)) + 32 is divided by 6.
4
Calculate the remainder when 218 + 4 + 3*-1 is divided by 55.
54
Suppose 0 = 6*z - 721 + 253. What is the remainder when z is divided by 37?
4
Let i(y) = y**3 - 20*y**2 + 31*y + 195. What is the remainder when i(19) is divided by 142?
139
Suppose -16*q - 17 + 193 = 0. Calculate the remainder when 20 is divided by q.
9
Let c(z) = z**3 + 10*z**2 + 9*z - 4. Let j be c(-9). Let d = j + 38. What is the remainder when 98 is divided by d?
30
Suppose -4*v + 7*v - 4*u = 22, 2*v - u = 8. What is the remainder when (6/3 - v) + 95 is divided by 24?
23
Suppose 8*u - 3*u - 265 = 0. Let k(a) = -4*a + 2. What is the remainder when u is divided by k(-3)?
11
Suppose 0 = 4*q + q - 30. Let s(r) = -2*r**3 - 2*r**3 - 17*r - r**2 + 4 + 22*r. Calculate the remainder when s(-2) is divided by q.
4
Let f = 73 - 44. Let r be (-12)/(-5) - 2/5. Suppose 15 = -x + r*x. Calculate the remainder when f is divided by x.
14
Suppose 2*y + 13 = 7. Let g = -1 - y. Suppose -3*c + 3*h = -27, -6*h + 10 = g*c - 4*h. Calculate the remainder when 25 is divided by c.
4
Let l be 4*10/4 + 3. Suppose -7*c - 120 = -l*c. Calculate the remainder when 139 is divided by c.
19
Let v = 148 + -264. Let x = -88 - v. What is the remainder when 110 is divided by x?
26
Calculate the remainder when ((-24)/56 - 3498/70)*-5 is divided by 15.
12
Suppose 2*n = -2*y + 484, 2*n - 3*y - 2*y = 463. Suppose -7*z = -3*v - 2*z + 251, -n = -3*v + 2*z. Calculate the remainder when v is divided by 13.
12
What is the remainder when 358 is divided by (153/(-36))/(2/(-8)) + 3?
18
Suppose 17*h = 13*h + 24. Suppose 4*y - 12 = 0, -4*l + h*l = -2*y + 224. What is the remainder when l is divided by 28?
25
Suppose 16*c + 36 = 19*c. What is the remainder when c is divided by 8?
4
Let q = -325 + 344. Calculate the remainder when 168 is divided by q.
16
Suppose -d - 4*c - c + 98 = 0, 0 = d + 4*c - 93. Suppose -42 = -2*w + 4*u, -d - 6 = -5*w - 3*u. Calculate the remainder when 134 is divided by w.
15
Suppose 0 = 3*j - 2*j + 3*f - 7, -4*f = -4. Let r = -81 - -85. Suppose -j*l + 24 = -r. What is the remainder when 18 is divided by l?
4
Let v(z) = -z**3 - 10*z**2 - 26*z + 7. Calculate the remainder when 328 is divided by v(-4).
13
Suppose 0 = -2*w - b - 22, -2*w - 3*b - 22 = 2*b. Let h = w + 15. Suppose -l = 3*a - 32, -h*a - a - 213 = -4*l. Calculate the remainder when l is divided by 12.
11
Let i = -71 - -71. Suppose d = 7 - i. Calculate the remainder when 18 + -1 - (-4 - -2) is divided by d.
5
Calculate the remainder when 0/(2*-1) - -24 is divided by (3 - (10 - 23)) + -3.
11
Suppose 5*a + 59 = 509. What is the remainder when a is divided by 34?
22
Let g(f) = f**3 - 6*f**2 - 10*f - 9. Let p(a) = -2*a**3 + 5*a**2 + 9*a + 10. Let s(w) = 3*g(w) + 2*p(w). What is the remainder when s(-7) is divided by 15?
13
Suppose s = 18 + 5. What is the remainder when (-50)/(-725) - (-7650)/87 is divided by s?
19
Let y = -142 - -171. What is the remainder when y is divided by 9?
2
Suppose 50*x - 20269 + 369 = 0. What is the remainder when x is divided by 7?
6
Suppose -180 = 432*j - 444*j. Calculate the remainder when 659 is divided by j.
14
Let x(d) = -1 + 0 + 8 + 1 + 2*d. Calculate the remainder when 29 is divided by x(4).
13
Let y(a) = a**2 + 6*a - 2. Let x be 93/(-12) + 3/4. Let p be y(x). Suppose -h - p = -12. What is the remainder when 25 is divided by h?
4
Let r(n) = -13*n - 9. Calculate the remainder when 75 is divided by r(-3).
15
Suppose -5*q + 2*r = 6*r - 146, 4*q = -5*r + 124. Let m = -22 + q. Suppose m*v - 5*s + 9 = 0, -v - v = 3*s - 23. What is the remainder when v is divided by 3?
1
Suppose 15*d - 10*d - 45 = 0. Suppose -4*o + 4*w = -252, -o + 3*w + 43 + 10 = 0. What is the remainder when o is divided by (30/d - 3)/((-1)/(-69))?
22
Let z(h) = -h**3 + 5*h**2 - h - 5. Let r be z(4). Let k = r + -4. Suppose -3*c = 2*l - 148, k = -5*l - 2. Calculate the remainder when c is divided by 17.
16
Suppose 0 = -5*o + 5*y + 35, -5*o + 2*y - 11 + 43 = 0. Let v = 4 + 65. Calculate the remainder when v is divided by o.
3
Let o(x) be the second derivative of -x**4/12 - 2*x**3 + 11*x**2/2 + 6*x. What is the remainder when o(-6) is divided by 10?
7
Let t(k) = -26*k - 11. What is the remainder when 27 is divided by t(-1)?
12
Suppose 4*f = 8*f. Suppose 4*o = 8 - f. Suppose 0 = 5*n + 3*a - 100 - 51, 0 = n + o*a - 33. What is the remainder when n is divided by 15?
14
Let r be (-644)/(-154) + (-4)/22. Suppose 9*f = r*f + 130. Calculate the remainder when f is divided by 10.
6
Let h = 31 + -28. Suppose 2*r + h*y = -2*r + 69, 66 = 5*r - 3*y. What is the remainder when 177 is divided by r?
12
Suppose 9*c + 4 = 7*c, 4*c - 357 = -5*b. Suppose -j + 3*j = 5*m - 99, -5*j - 105 = -5*m. Calculate the remainder when b is divided by m.
16
Let m(v) = v**2 - 20*v + 101. Calculate the remainder when 1/(-2) + 9/2 is divided by m(11).
0
Let s be (-6)/27 + (-2218)/(-18). Suppose 0 = 4*i - f - 133, -f + 2*f = -4*i + s. Calculate the remainder when i is divided by (-10)/2 - -9 - -7.
10
Suppose -28*m = 134 - 2458. What is the remainder when 248 is divided by m?
82
Let v = 65 - -29. Calculate the remainder when v/10 + 4/(-10) is divided by ((-26)/(-14) - 1)*7.
3
Let a(y) = -y**2 - 20*y - 56. What is the remainder when a(-9) is divided by 15?
13
Suppose -2*n + o = -25, 8*n = 13*n + 4*o - 95. Calculate the remainder when 59 is divided by n.
14
What is the remainder when (66/2)/(27/162) is divided by 71?
56
Suppose 5*l - 100 = -3*f + 8*f, 2*l - 35 = f. What is the remainder when (174/(-4))/(18/(-24)) is divided by l?
13
Let r = -1616 - -1625. What is the remainder when 249 is divided by r?
6
Suppose 0 = -4*l - 4, 0 = 3*i - 2*l - 253 - 43. Suppose -12*p - i = -362. What is the remainder when 85 is divided by p?
19
Let u(k) = 3*k**2 - 2*k - 2. Let n be u(2). Let i(c) = 4*c - 16. Let p be i(n). Calculate the remainder when 40 is divided by 4/p + 54/4.
12
Suppose 22 = -p + 88. Suppose -2*f - p = -142. Let h = 8 + 3. What is the remainder when f is divided by h?
5
Suppose -55*o = -47*o - 56. Let i be (1/(-2) + 0)*-8. Suppose -i*m + 64 = 3*d, -2*m = -o*m + 5*d + 115. Calculate the remainder when m is divided by 7.
5
Let l(a) = -a**3 - 4*a**2 - 5*a + 4. Let d be l(-4). Suppose -6*r + d = -3*r. What is the remainder when 20 is divided by r?
4
Suppose -2*j = -4*m + 188, 2*m + 514 = -5*j + 20. Let l = -63 - j. Let t(n) = -12*n. Calculate the remainder when l is divided by t(-1).
11
Suppose q - 4 = -3*q, -3*q = 5*n - 193. Calculate the remainder when 225 is divided by n.
35
Let w(d) = -25*d - 61. What is the remainder when w(-11) is divided by 72?
70
Suppose 38 + 172 = 6*m. Suppose 6*o - 19 = 5*o. What is the remainder when m is divided by o?
16
Suppose 21*h + 219 = 3201. Calculate the remainder when 420 is divided by h.
136
Suppose 7*g - 207 - 262 = 0. What is the remainder when g is divided by 6/4 - 516/(-24)?
21
Calculate the remainder when (-5)/(110/(-1133))*8 is divided by 18.
16
Let x(f) = 2*f - 5. What is the remainder when 120/(-30)*(1 + 21/(-4)) is divided by x(5)?
2
Calculate the remainder when 36 is divided by (-5)/(-20) - 3/(-12)*115.
7
Let a = 47 + -48. Calculate the remainder when 81 is divided by ((-132)/(-20) + a)*10/4.
11
Let s(d) = -30*d - 54. What is the remainder when s(-10) is divided by 10?
6
Let o(s) = -s**2 - 7*s - 4. Let b = 16 - -16. Suppose