(1/b).
22
Suppose -2654 = 236*q - 30*q - 133464. Calculate the remainder when q is divided by 106.
105
Suppose 552 = 25*v - 2*v. Let h = 98 - 56. What is the remainder when h is divided by v?
18
Calculate the remainder when 4834 is divided by (-8967)/(-366) + (-6)/(-4).
24
Calculate the remainder when 16*(7 + -9)*((-10 - 5) + 0) is divided by 140.
60
Suppose 0 = -84*g + 18255 + 1004 - 611. Calculate the remainder when g is divided by 221.
1
Let a(g) = -g**3 + 5*g**2 - 7*g - 219. Calculate the remainder when 304 is divided by a(-6).
85
Suppose 5*z - 61 = -2*o, -5*z + 172*o = 177*o - 40. Calculate the remainder when z is divided by 3/1 - (-9 - -1).
4
Suppose -3780 = 12*n + 6*n. Let g = 310 + n. Suppose -g = -12*p + 80. Calculate the remainder when 58 is divided by p.
13
Let d(g) = -4*g + 20. Let n be d(5). Suppose -20*j + 6343 - 2043 = n. Calculate the remainder when j is divided by (-2)/(-3) - 424/(-12).
35
Let n = 17531 + -9702. Calculate the remainder when n is divided by 58.
57
Suppose -3*k + 192 = 21*k. Suppose -4*q - q + 3*c = -3116, 4*c = -k. Calculate the remainder when q is divided by 8.
6
Let n(c) be the first derivative of c**4/4 - 22*c**3/3 + c**2 - 27*c - 36. What is the remainder when 115 is divided by n(22)?
13
Let i = -3245 - -3253. What is the remainder when 1630 is divided by i?
6
Suppose q = -5*i + 2171, 24*i + 5*q = 25*i - 403. Calculate the remainder when i is divided by 106.
9
Let b(n) = 512*n - 7664. Calculate the remainder when (54 - 0/(-2))/1 is divided by b(15).
6
Let h = 828 + -803. Calculate the remainder when 473 is divided by h.
23
Suppose 5*l - 146 = -16. Let q(h) = 56*h**2 - 39*h - 4. What is the remainder when q(-1) is divided by l?
13
Suppose -6*s - 606 = -12*s. Suppose 0 = 2*m - 309 + s. What is the remainder when m is divided by 22?
16
Suppose 4*b = -3*r + 194, 0 = 5*b + 2*r - 3*r - 233. Suppose 23 = -3*u + b. Calculate the remainder when 0 - (-47 - 0/2) is divided by u.
7
Suppose -13 = -12*m - 1. Let f be (9 + -4 - m) + 1. Suppose 0 = -5*z + f*b + 35, 7*z + 5*b - 7 = 6*z. Calculate the remainder when 17 is divided by z.
3
What is the remainder when (-3468)/(-28) - 1/(-7) is divided by 60?
4
Suppose -90*c - 10640 = -160*c. What is the remainder when 1980 is divided by c?
4
Let x(q) = -2*q**3 + 40*q**2 + 2*q + 6. Suppose 0 = -7*p + 60 + 45. What is the remainder when x(20) is divided by p?
1
Suppose 3434 = 12255*b - 12251*b + 990. Calculate the remainder when b is divided by 293.
25
Calculate the remainder when -13*61/((-793)/330) is divided by 39.
18
Let w(o) = 29*o**2 - 4*o + 1. Let f be w(1). Suppose 0 = 5*i + q - 40, f + 26 = 3*i - 5*q. Calculate the remainder when 34 is divided by i.
7
Let h be -2 - -30 - (9 - 9). Suppose 45*o - h = 43*o. Calculate the remainder when -2 + 0 - (-55 - 2) is divided by o.
13
Suppose -100*j = -94*j - 504. Suppose -9*k + j = -141. Calculate the remainder when (-1)/(-1) + (-8 - -130) is divided by k.
23
Let j = 237 + -37. What is the remainder when j is divided by 113?
87
Let x(k) = -k**3 + 13*k**2 + 10*k + 4. Let v be x(14). Let l = v + 56. Suppose 8 + 18 = h - l*t, 0 = -t. Calculate the remainder when h is divided by 5.
1
Suppose -l - 5*m + 132 = 0, 601*l - 3*m = 596*l + 800. Calculate the remainder when l is divided by 33.
25
Let o = -2787 + 2817. Calculate the remainder when 369 is divided by o.
9
Let w(h) be the first derivative of -7*h**3/3 - 21*h**2/2 + 6*h + 2. Let p be w(-6). What is the remainder when -15*8/(p/27) is divided by 15?
12
Let n(u) = 6*u**3 - 34*u**2 - 31*u + 7. Calculate the remainder when n(7) is divided by 31.
27
Let j = -15636 - -15830. What is the remainder when 2120 is divided by j?
180
Let w be 4/18 + 26/(-117). Suppose 5*l + 3*r - 55 = w, -2*r = l + r + 1. Suppose -l*n = -16*n + 226. What is the remainder when n is divided by 23?
21
Let g = -3142 - -3955. What is the remainder when g is divided by 207?
192
Let l(q) = -24*q**3 - 409*q**2 - 19*q - 24. Calculate the remainder when 756 is divided by l(-17).
6
Let n = 1898 - 1885. What is the remainder when 206 is divided by n?
11
Suppose 3*d = -12, -15 = -4*b - 5*d + 37. Let s = b - -254. What is the remainder when s is divided by 13?
12
Let s = -219 - -219. Calculate the remainder when 142 is divided by 24 + (1/3*s)/(-2).
22
Let v(g) = g**3 + 3*g**2 - 17*g + 12. Let k be v(-6). Let l(c) = 2*c + 6. Calculate the remainder when -2 - (-37 + -2) - (-1 + 5) is divided by l(k).
15
Suppose -2*i = 10 - 48. Let g(u) = -u**2 + u. Let v(j) = -6*j**2 + 14*j + 14. Let p(z) = -14*g(z) + 2*v(z). Calculate the remainder when p(-8) is divided by i.
6
Let t(u) = 2*u + 28. Let d(j) = 2*j**3 - 21*j**2 + 26*j + 3. Let o be d(9). What is the remainder when 170 is divided by t(o)?
10
Suppose -3*n + 12 = -33. Let i = 86 - -279. Suppose 0 = -48*u + 43*u + i. What is the remainder when u is divided by n?
13
Let a be ((-570)/20)/(1/((-6)/1)). Suppose 27*h - a = 720. Calculate the remainder when 195 is divided by h.
30
Let t = 81 - 74. Suppose -2*s + t*p - 3*p + 24 = 0, 0 = -s - p + 27. What is the remainder when s is divided by (1/2)/((-1)/(-24))?
10
Suppose -2*f - f - 3 = 5*s, -3*f = 3. Suppose -2*u + 37 - 21 = s. Suppose -2*p + 105 = 3*p. Calculate the remainder when p is divided by u.
5
Let d = 458 + -395. Let a = 67 - d. Calculate the remainder when 7 is divided by a.
3
Let p be (-3 + 2)*(35 + -39). Suppose -5*s + 190 = 5*x, -8*s = -7*s + p*x - 32. What is the remainder when s is divided by 13?
1
Let s(h) = -2*h**2 - 14*h - 8. Suppose -2*u - 16 = 4*r, 3*r - 4*u + 3*u + 17 = 0. What is the remainder when 33 is divided by s(r)?
9
Let m be ((-8)/(-24))/(1/15). Suppose -32 = -m*h + h. What is the remainder when (-145)/(-8) + 1/(-8) is divided by h?
2
Let j(c) = c + 5. Suppose -m - 8 = 2*z, 12 = -4*m - z - 2*z. Let b be j(m). What is the remainder when (b*9 + 1)*(-4)/(-8) is divided by 12?
11
Let h = 65 + -199. Let y = 230 + h. What is the remainder when y is divided by 20?
16
Let n = -249 + 276. What is the remainder when (-596)/(-8) + 5/(-10) is divided by n?
20
Suppose 2*m - 6 + 2 = 0. Let v be 10 + -6*(-4)/8 + -4. Suppose -3*u = 5*j - 14, -v*u - 3*j + 18 = -4*u. What is the remainder when u is divided by m?
1
Suppose 0 = -3*o + 3*w + 36, 3*o + w + 2*w = 42. Calculate the remainder when (6/(-9) - o/3) + 70 is divided by 26.
13
Suppose -156 = -2*r - 3*v - v, 0 = 4*v + 8. Suppose -3*h + r = 5*g + 14, 4*h - 64 = -5*g. What is the remainder when (-7 + 37)*(0 + 1) is divided by g?
14
Let f = 41 - 41. Let j(o) = -1 + f - 28 - 6*o. Calculate the remainder when j(-7) is divided by 8.
5
Let c(g) = g**2 + 24*g - 16. Let y be c(-26). Suppose 3*b - 7*b = -y. What is the remainder when 80 is divided by b?
8
Suppose -n + 4*w + 44 = 14, -3*n = w - 181. What is the remainder when 7/((-28)/(-240)) - 0 is divided by n?
2
Suppose 172 = -2*c + 4*c. Let g(a) = 9*a - 16. Let j(s) = 19*s - 31. Let d(t) = -13*g(t) + 6*j(t). What is the remainder when c is divided by d(0)?
20
Suppose 0 = -2*g - 2*g + 12. Suppose 3*k - 3*d = 363, k - 926*d - 124 = -922*d. Suppose -g*u + k + 108 = 0. Calculate the remainder when u is divided by 21.
13
Suppose 13*g = 27*g - 9*g - 5175. What is the remainder when g is divided by 19?
9
Let z = 650 + -583. Calculate the remainder when 94 is divided by z.
27
Calculate the remainder when (0 - -2 - (-18 - -20)) + 70 is divided by 13.
5
Suppose 5*u + 10*u = 575 + 700. What is the remainder when u is divided by 15?
10
Let s = 1863 - -3816. Calculate the remainder when s is divided by 58.
53
Suppose -4*t = -t. Suppose -2*f + f + 16 = t. What is the remainder when (17 - 6 - -72) + -2*2 is divided by f?
15
Let l(f) = f**3 - f**2 + f + 65. Let a(p) = 2*p**2 + 19*p - 8. Let w be a(-10). Calculate the remainder when l(0) is divided by 80/(w + 2) + 2.
21
Let i(v) = -74*v - 939. Suppose 5*j - 12 - 13 = 0. Calculate the remainder when i(-13) is divided by j.
3
Suppose 40*q = 42*q - 394. Let k = q - -133. Calculate the remainder when k is divided by 16.
10
Let s(o) = 3*o**2 - 24*o + 177. Let p = -37 + 77. What is the remainder when s(7) is divided by p?
36
Let b(r) = -r**2 - 20*r - 59. Let p be b(-16). Suppose 3*g + g = -4*x + 700, 3*g = p*x - 891. What is the remainder when x is divided by 31?
22
Let z(g) = g**3 + 14*g**2 - 20*g - 1