hat is the remainder when x is divided by 12?
9
Let q be -30*(1/2 + -1). Let a = q - 14. What is the remainder when 17 is divided by (0 - (-11 - -1))/a?
7
Calculate the remainder when 53 is divided by (3 + (2 - 78/9))*-9.
20
Suppose s = -4*o - 3*s - 12, 2*s = 4*o - 12. Suppose -3*w + 27 = -0*w. What is the remainder when 74 is divided by (w/(-3) + 22)*o?
17
Suppose -2*r = 2*w - r - 18, 4*w - 44 = -4*r. Suppose -12*b + 10 = -w*b. What is the remainder when 14 is divided by b?
0
Suppose -5*u + 4*o = -308, -62 + 180 = 2*u + o. Suppose 40*y - 45*y - 3*r = -143, -2*y - 5*r + 42 = 0. Calculate the remainder when u is divided by y.
29
Let r(w) = -w**2 + 4*w + 69. What is the remainder when 501 is divided by r(9)?
21
Suppose 4*j = 2*u + 80, -5*j - u + 78 = 2*u. Calculate the remainder when 18 is divided by 24/j*18/4.
0
Let j(k) = -k**3 - 4*k**2 + 14*k + 15. Let f be j(-6). Let l(o) = 3*o**3 - 4*o**2 + 4*o - 2. What is the remainder when l(f) is divided by 14?
13
Suppose 37*s = 56 + 166. Calculate the remainder when s is divided by 2 - (-1)/(-1) - -1.
0
Let g(p) = 21*p**2 + 10*p + 4. Let y be g(-4). Suppose y = 10*s + 5*s. What is the remainder when 257 is divided by s?
17
Let w = -24 - 21. Let y = w + 60. Calculate the remainder when y is divided by 6.
3
Let c(y) = -y**3 - 7*y**2 + 3*y - 2. Let p be c(-8). Let d = p - 17. Calculate the remainder when 182/d*6/4 is divided by 4.
1
Let n(j) = -2*j + 34. Let p be n(16). Calculate the remainder when p*(-1 + (-2)/(-4)*63) is divided by 16.
13
Let n(m) = 5*m - 87. Let q be n(17). Calculate the remainder when 113 is divided by q/(10/(-117)) - (-32)/(-80).
21
Suppose -5*d = 5*d - 170. What is the remainder when 285 is divided by d?
13
What is the remainder when ((-2)/4)/(24/(-7104)) is divided by 68?
12
Let d(l) be the third derivative of l**4/24 + 23*l**3/3 - l**2. Suppose 0 = 10*g - 25*g + 240. Calculate the remainder when d(0) is divided by g.
14
Suppose 0 = k, -101 = 2*l - 2*k - 333. Calculate the remainder when l is divided by 17.
14
Suppose -4*u + 5*g - 8 - 2 = 0, 0 = u - g + 3. Suppose 3*v - 6 = -4*j + 17, -20 = 5*j. Calculate the remainder when u/25 - (-256)/5 is divided by v.
12
Let a be (-20)/8*4/5 - -16. Let r = a - 0. Calculate the remainder when 69 is divided by r.
13
Let y = -31 + 55. Suppose 0 = 2*b - 4*z - 6, 3 = b - 0*b - 3*z. Suppose 22 = f + b*u, 3*f + 0*u + 3*u - 48 = 0. Calculate the remainder when y is divided by f.
11
Let o = -232 + 331. Let k(a) = 5*a**2 - a - 1. Calculate the remainder when o is divided by k(2).
14
What is the remainder when 2490/9*(12/(-15) + 2) is divided by 48?
44
Let m(x) be the first derivative of x**5/120 + x**4/3 + x**3 - 1. Let k(w) be the third derivative of m(w). What is the remainder when 45 is divided by k(4)?
9
Suppose -9*d + 12*d - 51 = 0. What is the remainder when d is divided by 16?
1
Let w(b) = -4*b + 1. Suppose 164*c = 168*c - 176. Calculate the remainder when c is divided by w(-2).
8
Suppose -2*a + 8 = -4*c, 1 = a - 3*c - 3. Suppose a*n - 27 = 13. Suppose -108 = -n*s + 4*s. What is the remainder when 67 is divided by s?
13
Suppose 3*o - 10 = -c, -o + 13 = c + o. Let q(u) = -11*u - 21. Let z be q(-9). Calculate the remainder when z/15*(-3 - -13) - -2 is divided by c.
16
Suppose -2*g + 3*h = -893, 894 = 4*g - 2*g - 2*h. Calculate the remainder when g is divided by 50.
48
Let x(a) = 3*a**2 + 14*a + 22. What is the remainder when 105 is divided by x(-6)?
13
What is the remainder when (-7 + (-2 - -7))/((-1)/5) is divided by 3?
1
Calculate the remainder when 1740/(-203)*28/(-6) is divided by 14.
12
Let a(p) = -p**2 - p + 11. Let q = -141 - -193. What is the remainder when q is divided by a(0)?
8
What is the remainder when 855/10 + 4/8 - -4 is divided by 30?
0
Let v be -1*(-2)/8*0. Suppose 5*i + 3 - 98 = v. What is the remainder when 34 is divided by i?
15
Let k = 188 + -157. What is the remainder when 58 is divided by k?
27
Let r(a) = a + 19. Let b(x) = -2*x - 18. Let l(f) = 4*b(f) + 5*r(f). What is the remainder when 89 is divided by l(0)?
20
Suppose -p = 2*p + 3*t + 87, 4*p = t - 101. Let u = 10 - p. What is the remainder when 69 is divided by u?
33
Suppose 6*g = 1898 - 1268. What is the remainder when g is divided by 41?
23
Let k(f) = -4*f - 20. Suppose 0 = 2*o - 10 + 24. What is the remainder when 14 is divided by k(o)?
6
Suppose 0 = -i - 4*i - 75. Let z = -1 - i. Let m = 12 - 7. What is the remainder when z is divided by m?
4
Let h = -5 + 7. Let k = 1887 - 1885. Suppose 0 = k*w - h - 24. What is the remainder when 48 is divided by w?
9
Suppose -4*v + 59 = -217. Calculate the remainder when v is divided by 15 + 3 + -1 - -1.
15
Let p(f) = f. Suppose -6*s + s + 10 = 0. Calculate the remainder when p(7) is divided by s.
1
Suppose 8*q - 6*q - 160 = 0. Suppose 4*m - 157 = 5*o, 0 = -4*m + 2*o + 74 + q. Calculate the remainder when m is divided by 14.
10
Let v = 53 - 49. Suppose 0 = 2*h - 3*f - 153 + 21, v*h + 3*f - 300 = 0. Calculate the remainder when h is divided by 19.
15
Suppose x - 2*x + 555 = 0. Let j = 333 - x. What is the remainder when 78 is divided by (-2)/11 - j/11?
18
Let c be (16/(-28))/((-3)/21). Suppose 3*t + 3 = 0, c*t = -5*y + 5*t + 741. Calculate the remainder when y is divided by 50.
48
Let w = -1213 - -1256. What is the remainder when 944 is divided by w?
41
Let s(f) = 2*f. Suppose -11*h + 2*a = -13*h, 0 = 3*h - 4*a - 28. What is the remainder when s(4) is divided by h?
0
What is the remainder when (2/(-5))/(29/(-10585)) is divided by 70?
6
Suppose 0*k + 20 = 4*k. Suppose 3*f + 12 = k*s - 3*s, f = 3*s + 3. Calculate the remainder when 7 is divided by 5*1 - (f + 8).
1
Let y(v) be the second derivative of v**4/6 - 4*v**3/3 - v**2/2 - 4*v. Suppose h + 4*s = 18, 3*s = -h + 5*s. What is the remainder when y(h) is divided by 8?
7
Let d(l) = 14 - 15*l + 31*l - 17*l. What is the remainder when 12 is divided by d(8)?
0
Suppose x + x = f + 18, 0 = -4*f + 8. Let n = x - 2. Calculate the remainder when n is divided by 2.
0
Suppose 0 = -23*y + 141 + 572. What is the remainder when y is divided by 3?
1
Suppose 4*m + 3*t + 1 = 0, -m + 2*t = -3*m - 2. Let r = m - -6. Let c = -2 + r. What is the remainder when 23 is divided by c?
5
Suppose -4*n - 3*l + 91 = 0, -9*n + l = -7*n - 43. Suppose 3*x = -i + 12, -i - 5*x + n = i. What is the remainder when i is divided by 4?
2
Let z(m) = m**3 + 40*m**2 - 45*m - 151. Calculate the remainder when 296 is divided by z(-41).
10
Suppose 4*s - 2*y = -3*y + 114, -4*s - 3*y + 118 = 0. Suppose 265 = -8*i + 13*i. Calculate the remainder when i is divided by s.
25
Let p(l) = -l**3 + 4*l**2 + 2*l - 4. Let j be p(4). Suppose -j*f + 8 = 0, -371 + 142 = -d + 2*f. Calculate the remainder when d is divided by 47.
45
Suppose 1 = 2*r + 5*i, -7 = -6*r + 2*r - 5*i. Suppose 0 = 2*b - 5*s - 165, -2*b + 5*s - 430 = -7*b. What is the remainder when b is divided by 2/r + (-85)/(-3)?
27
Suppose 0 = -q + 5*x + 93, -4*q + 6*q = -3*x + 121. Calculate the remainder when q is divided by 12.
8
Let s be 192/33 - (-2)/11. Suppose s = v + v. Suppose 4*p - 22 = -3*x, -3*x + v + 23 = 2*p. What is the remainder when x is divided by 6?
4
Suppose -2 - 18 = -5*i. Suppose -3*w - 58 = -i*o - w, 3*w = -4*o + 43. Calculate the remainder when 33/(-55) - o/(-5) is divided by 2.
0
Suppose 204 = -2684*q + 2696*q. What is the remainder when 220 is divided by q?
16
Let o = 14 + -4. Suppose 0 = -z - o + 23. Suppose -4*g = -178 + 30. Calculate the remainder when g is divided by z.
11
Let c(x) = 37*x - 19. Calculate the remainder when 56 is divided by c(1).
2
Let o(i) = -6*i + 2. Let r be o(-7). Suppose 5*b + 3*s - r = 0, b - 12 = 3*s - 2*s. Let p = b + -9. What is the remainder when 2 is divided by p?
0
Suppose -3*d + 5*d = 2*q + 4, 0 = 5*d - 2*q - 22. Let h be (40/(-90))/((-4)/18). Calculate the remainder when 1/h*(0 + 66) is divided by d.
3
Suppose -4*a = 2*y - 17 - 11, 4*a = 2*y + 12. Let m = 56 + -38. What is the remainder when m is divided by y?
2
Suppose -i - 3*i + 20 = 0, 2*v = 2*i + 68. What is the remainder when v is divided by 21?
18
Let g = 10 + -5. Suppose -g*d + 10*d = 15. Suppose -b = -d*b + 34. Calculate the remainder when b is divided by 6.
5
Suppose 20*j - 836 = -2*j. Calculate the remainder when 339 is divided by j.
35
Suppose -2*h + 15 + 55 =