z is divided by 18.
16
Let b(u) = 2 + u**2 - 13*u - u**3 - 9*u**2 + 3. Calculate the remainder when 0 - 0 - (-3 + -22) is divided by b(-6).
3
Let d(k) = k**2 - 9*k - 4. Let l(r) = r**2 - 9*r - 4. Let h(x) = -3*d(x) + 4*l(x). Let b = 94 - 72. What is the remainder when h(-6) is divided by b?
20
Calculate the remainder when 10*6/210 - (-16)/(-28)*-178 is divided by (20 - 7)/((-1)/(-2)).
24
Let d be ((-87)/(-6) - -2)*76/6. Suppose 251 = 2*k - r, -4*k + 3*r + 294 = -d. What is the remainder when 60 is divided by 1/6 - k/(-6)?
18
Let v(g) = -g**2 + 13*g - 12. Suppose -4*n + 2*r + 106 = 0, 2*n + 4*r = 7*n - 125. Suppose 4*c - n = 3. Calculate the remainder when v(6) is divided by c.
6
What is the remainder when 8746/18 + (-104)/36 + 3 is divided by 49?
45
Suppose 7056 = 4*h - p, 2*p + 5595 = 7*h - 6753. What is the remainder when h is divided by 10?
4
Let d = -259 + 264. Suppose d*g + 4*u - 103 = 26, -4*u + 13 = g. What is the remainder when g is divided by 26?
3
Calculate the remainder when 2*(-3)/24 - ((-62583)/(-12))/(-1) is divided by 32.
31
Suppose -2726 = -2*i - y, 14*i - 9*i = -y + 6821. What is the remainder when i is divided by 49?
42
Let j = -265 - -275. Suppose 2*m + j*b = 6*b + 518, -m = b - 262. Calculate the remainder when m is divided by 68.
61
Suppose 0 = -5*t - 30, -9*m + 504 = -t - 591. What is the remainder when m is divided by 32 + (-1)/2*0?
25
Suppose 5*j = -25, 0 = -4*w + 2*j - 6*j + 3232. Suppose -b + w = 5*a, 30*b = -2*a + 28*b + 322. What is the remainder when a is divided by 15?
13
Let a(i) be the third derivative of i**5/60 - 5*i**3/6 - 13*i**2. Let o be a(9). Let c = o + -53. Calculate the remainder when 68 is divided by c.
22
Suppose -11*u - 780 + 945 = 0. Calculate the remainder when 14264 is divided by u.
14
Let b(v) = 46*v - 896. Suppose 4*a + a = 685. What is the remainder when a is divided by b(20)?
17
Let l(p) = -p**3 - 78*p**2 + 75*p - 51. What is the remainder when l(-79) is divided by 85?
10
Suppose -g = g + 2*o - 200, -5 = -o. Suppose -m + 4*v = -95, -285 = 634*m - 637*m - 4*v. Calculate the remainder when m is divided by g.
0
Suppose 30 - 8 = 2*i. Let n = -5 + 48. What is the remainder when n is divided by i?
10
Let p(g) = 73*g + 12. Let o = 82 - 80. Suppose 0*z + o*z = -2*l, 0 = 5*l + 10. Calculate the remainder when p(z) is divided by 32.
30
Let m(z) be the second derivative of 14*z**3/3 + z**2 - 24*z. Let f be m(1). Suppose f = 4*i - i. What is the remainder when 87 is divided by i?
7
Let v be 838/14 - (-12)/(-14). Let b = -28 - -54. Suppose b + v = 5*z. Calculate the remainder when 22 is divided by z.
5
Suppose 97*i - 7387 + 15338 - 67315 = 0. Calculate the remainder when i is divided by 181.
69
Let i = 12543 - 9917. What is the remainder when i is divided by 36?
34
Suppose 0 = 48*c - 22*c - 1482. Calculate the remainder when 374 is divided by c.
32
Suppose p + 3*g = -0*g + 81, -3*g + 237 = 3*p. Let i = -69684 + 69994. What is the remainder when i is divided by p?
76
Let k(o) = 3*o**2 - 180*o + 1027. Calculate the remainder when k(55) is divided by 78.
46
Let c be (-8*12/240)/(2/(-205)). Let g = 6 + -4. Suppose -g*q - 3*r = -c, -12 = -3*r - r. Calculate the remainder when q is divided by 13.
3
Let a(l) = -9*l - 5. Let q be a(3). Suppose -5*z = 34 + 101. Let n = z - q. What is the remainder when 24 is divided by n?
4
Suppose -157*o = -2100 - 1354. What is the remainder when 8993 is divided by o?
17
What is the remainder when 588 is divided by 6/(-15) + (216/35)/(230/7245)?
6
Let y(j) = -j**3 - 24*j**2 + 77*j + 156. Calculate the remainder when y(-27) is divided by 38.
36
Suppose -36*r + 153419 = 65*r. What is the remainder when r is divided by 190?
189
Suppose 15*c - 251 = 694. Calculate the remainder when (22/(-3) - -8)/((-2)/(-1506)) is divided by c.
61
Let o(c) = -4*c + 156. Calculate the remainder when o(24) is divided by (-117)/(-108)*(7 + 1)*3.
8
Let d = 6435 + -6357. What is the remainder when 289 is divided by d?
55
Let l = -1235 + 1702. What is the remainder when l is divided by 156?
155
Suppose -67*n + 73*n = 4860. Let g = 1138 - n. What is the remainder when g is divided by 22?
20
Let k be (-46)/14 + 3 + 24220/49. What is the remainder when 161 is divided by (-9)/27 - k/(-6)?
79
Suppose -2*p - 10 = -16. Suppose p*o = -n - 4 + 19, -3*n - 3*o = -63. Let q = 0 + 68. Calculate the remainder when q is divided by n.
20
Suppose 4*g + b - 18 = 0, 2*g + 2*g + 3*b - 22 = 0. Suppose g*u - 25 = 3*u. Suppose 15*r + 976 = 23*r. Calculate the remainder when r is divided by u.
22
Let d(p) = -p**3 + 20*p - 12. Let b be d(4). Calculate the remainder when 60 is divided by (b*3)/(5 + (-165)/45).
6
Let w = 232 + -232. Suppose -q - 5*o + 24 = w, 72 = 4*q - 6*o + 2*o. What is the remainder when 111 is divided by q?
16
Suppose 178*z - 347*z + 187*z = 7614. Calculate the remainder when z is divided by 6.
3
Let l(q) = q**2 + 51*q + 101. Let m be 2 + 12/(-4) + 35. What is the remainder when m/3 - (-26)/39 is divided by l(-2)?
0
Suppose 0 = -4*u - 6 + 18. What is the remainder when ((-74)/4)/(u/(-6)) is divided by 17 - 1 - -5*(-7 + (-135)/(-25))?
5
Suppose -5*m - j + 887 = 0, 5 = -4*m + 4*j + 705. What is the remainder when 648 is divided by m?
117
Suppose -4*n - 32 = -156. What is the remainder when n*(2/(-6) - (-260)/15) is divided by 33?
32
Let c be 16/(-80) + (-2)/(-10). Suppose -13*b = -9*b + s - 505, -2*b + 3*s + 249 = c. Calculate the remainder when b is divided by 45.
36
Let i = -15 - -21. Suppose -5*g = -i*g. Suppose -2*b + g*b + 60 = -4*j, 3*j = -2*b + 46. Calculate the remainder when 73 is divided by b.
21
Let p(u) be the second derivative of u**5/20 - u**4 + 7*u**3/3 + 11*u**2 - 120*u. Let h = -18 - -29. Calculate the remainder when p(h) is divided by 29.
26
Suppose -v + 2192 = a, 25*a = 3*v + 20*a - 6576. What is the remainder when v is divided by 436?
12
Suppose 6*b - 616 - 392 = 0. What is the remainder when 363 is divided by b?
27
Let p(h) = -11*h - 2. Let s be p(-3). Suppose s = 4*d - 69. Suppose 37*k - 41*k + 696 = 0. Calculate the remainder when k is divided by d.
24
Let z be (-8)/12 + -1*(-3 - 18/27). Suppose -6*p = -2*p - 912. Suppose p = z*d + 9. What is the remainder when d is divided by 13?
8
Let k be 6/(-27) - (-52)/72*64. Let i = k - 46. Suppose 3*h + h - 16 = i. What is the remainder when h is divided by 4?
0
Suppose -17*g + 3 = -14*g. Let i be 2/11 + 18/22 + g. Suppose 0 = b + b + i*d - 32, -56 = -3*b - d. What is the remainder when 58 is divided by b?
18
Suppose -2*i + g + 66 = 0, -2*g + 4 - 34 = -i. Let z(x) = 28*x + 3085. Calculate the remainder when i is divided by z(-110).
4
Suppose -3*h - 35 + 10 = -2*k, -40 = -4*k + 4*h. Suppose 2*p = 5*n - 2394, -5*n + 2384 = k*p - 31. What is the remainder when n is divided by 37?
36
Let s(q) be the first derivative of -28 - 29*q - 11/2*q**2. What is the remainder when 44 is divided by s(-4)?
14
Suppose -3*q - 2*q + 320 = 4*y, 91 = y + 4*q. Suppose 443*l - 2577 = 5840. What is the remainder when y is divided by l?
18
Suppose -29*f - 2115 = -44*f. What is the remainder when f is divided by ((-12)/(-9)*-37)/((-2)/3)?
67
Suppose -4*u + 2*j + 82 = 0, j = -0 + 5. Let d be (3 - -1) + (24 - u). Suppose 0 = d*q + 22 - 42. Calculate the remainder when 8 is divided by q.
0
Let c(v) = 8*v**3 + v. Let j be c(-1). Let f(t) = -2*t - 22. Let h be f(j). Calculate the remainder when 21 is divided by 0/(20/h) + 8*1.
5
Let u = -134 - -191. Let q be 2*((-3)/(-1) - (-5 + 6)). Let f(t) = -t**3 + 5*t**2 + 2*t - 4. What is the remainder when u is divided by f(q)?
17
Let b be (-975)/(-65)*10/6. Let m(t) = t**3 + 2*t + 1. Let z be m(-2). Let v = z + b. What is the remainder when 81 is divided by v?
11
Calculate the remainder when ((-728)/273)/((-16)/4146) is divided by 39.
28
Suppose 121*i - 438 = 115*i. What is the remainder when 213 is divided by i?
67
Let u = 9672 - 4065. Calculate the remainder when u is divided by 17.
14
Let p = 4 - 2. Let k be -17 - (7 + (10 - 37)). What is the remainder when 14 + p + k + -2 is divided by 12?
5
Suppose 2*q + 923*f - 118 = 920*f, -70 = -q + 4*f. Suppose 5*m - 63 = 57. Calculate the remainder when q is divided by m.
14
Suppose -6*x + 2545 = 3*c - 7*x, -40 = -5*x. What is the remainder when c is divided by 64?
19
Suppose 0 = -5*b - 31 + 1