. Calculate the remainder when 18 is divided by z.
6
Suppose -m - 1837 = -1851. Calculate the remainder when 53 is divided by m.
11
Suppose -73 = 3*i - 4*i + 5*p, 2*i - 116 = -5*p. Suppose -38*v = -294 - 20 - 180. What is the remainder when i is divided by v?
11
Let q(i) = 3664*i**2 + 142*i - 265. Calculate the remainder when q(2) is divided by 21.
17
Let m = -5799 - -5962. Let d = 13 - -8. What is the remainder when m is divided by d?
16
Suppose -s = -13 + 12. Let l(u) = u**3 + u. Let t(z) = -4*z**2 - 3*z - 5. Let q(k) = s*t(k) - l(k). What is the remainder when 78 is divided by q(-5)?
38
Suppose -3*o + 0*s + 113 = -4*s, o - 34 = 5*s. Let g = o - 35. Suppose 4*z = 4*p - 0*z - 40, g*p + z - 35 = 0. What is the remainder when 15 is divided by p?
6
Suppose 0 = -16*m + 2499 - 9379. Let i = m - -486. What is the remainder when 445 is divided by i?
53
Suppose -3 = -2*n + 41. What is the remainder when -4*n/(-12)*6/4 is divided by (4 - -2) + (1 + -1 - 1)?
1
Let d(c) be the second derivative of -c**5/20 + c**4/2 + c**3/2 - 3*c**2 - 53*c. What is the remainder when 169 is divided by d(5)?
33
Let s(c) = -c**3 + 4*c**2 - 3*c - 1. Let n be s(3). Let i = -10955 + 10971. What is the remainder when 43 + 1 - (n - 1) is divided by i?
14
Let b(r) be the first derivative of r**3/3 + 4*r**2 - 11*r + 5. Suppose -19*k + 288 = -3*k. Calculate the remainder when b(9) is divided by k.
16
Suppose 0 = 7*y - 12*y + 145. Let v(t) = -5 + 3*t**2 + 9*t + 9 - 4. Calculate the remainder when v(4) is divided by y.
26
Suppose 0 = -5*j - 5*c - 35, 2*j - 4*c = j + 3. Let t(b) = 6*b**2 + 7*b + 10. What is the remainder when t(j) is divided by 16?
13
Let t(r) = 69*r + 426. What is the remainder when 92 is divided by t(-6)?
8
Suppose -25*y - 98 = -29*y + a, y - 2 = 4*a. What is the remainder when 2204 is divided by y?
20
Let f = -281080 - -281318. Suppose 17 = c - 18. Calculate the remainder when f is divided by c.
28
What is the remainder when 178 is divided by -2*91/26*(2 + 29/(-7))?
13
Let q(p) be the first derivative of -p**4/4 - 5*p**3 - 9*p**2/2 + 36*p + 71. What is the remainder when q(-17) is divided by 14?
11
Suppose -2*v + 5*r - 10 = 0, 4*v - 5*v + 25 = 5*r. Suppose 0 = v*t - 833 + 673. What is the remainder when 124 is divided by t?
28
Let z(k) = 2*k - 18. What is the remainder when 74 is divided by z(11)?
2
Let x = 8 + -6. Suppose 0 = x*b + 10, -t - 4*b = 2*t + 41. Let m = -5 - t. Calculate the remainder when 6 is divided by m.
0
Let l(q) be the third derivative of q**4/6 + 3*q**3 + 4*q**2 - 3. Let f(v) = -v - 2. What is the remainder when l(5) is divided by f(-8)?
2
Suppose 12 = 3*i, -58*i - 25 = -5*w - 53*i. What is the remainder when 142 is divided by 1*-1 - (-65 + -15 + w)?
2
Let c = -255 + 378. Let y = 152 - c. Calculate the remainder when y is divided by 16.
13
Let u(m) = -9*m**3 + 11*m**2 + 7*m + 42. What is the remainder when u(-5) is divided by 98?
35
Let t = -20 + 371. Suppose 12*v - 572 + 188 = 0. What is the remainder when t is divided by v?
31
Suppose -5*l - 2*k + 115 = 3*k, 3*k - 31 = -l. Suppose 13*s - 15 = 16*s, 0 = n - 5*s - 165. Suppose n = 5*i - i. What is the remainder when i is divided by l?
16
Suppose 0 = 32*t - 37*t + 3*s + 1175, -5*s + 470 = 2*t. What is the remainder when t is divided by 19?
7
Suppose 1228 + 64 = 68*n. Let q be (49/(-3))/((-2)/96). What is the remainder when (-1)/(-3) + q/6 is divided by n?
17
Let k = 73 + -175. Let n = 131 + k. What is the remainder when n is divided by 12?
5
Let g(i) = i**3 + 40*i**2 + 75*i + 57. What is the remainder when 274 is divided by g(-38)?
84
Calculate the remainder when 50 is divided by (106/318)/((12/(-171))/(-4)).
12
Calculate the remainder when 18 - 28/8*2 is divided by ((-4)/3)/(16/(-36)).
2
Suppose -1409*i = -1395*i - 2548. What is the remainder when 1260 is divided by i?
168
Suppose 0*i - 2*w + 46 = 3*i, -2*i + 38 = 5*w. Calculate the remainder when i is divided by 3 - (2 - 0)/(45/(-180)).
3
Suppose -3*h - 4*p = -1362, -h - 3*p + 465 = 2*p. Suppose 13*z = -5*z + h. Calculate the remainder when 66 is divided by z.
16
Suppose -3326 = -45*z - 13541. Let q = 364 + z. Calculate the remainder when q is divided by 28.
25
Suppose -3 = -27*b + 25*b - p, 5*p - 15 = -4*b. Let k(f) = 5*f**2 - 4*f - 5. Calculate the remainder when k(5) is divided by (1110/518)/(b + 1/7).
10
Let h be (-2)/4 - (-270)/20. Let m = h - 42. What is the remainder when (-12)/54 - m/9 is divided by 3?
0
Suppose 4*q - h + 8 - 56 = 0, 2*q - 14 = 3*h. Suppose 0 = -7*c + q - 6. What is the remainder when 11 is divided by c/(-6) + (-473)/(-66)?
4
Let s = 5751 - -1742. What is the remainder when s is divided by 147?
143
Suppose 20*h - 25*h = -5*i + 590, 0 = 4*i - 2*h - 480. Calculate the remainder when 1828 is divided by i.
120
Let u(t) = t**2 + 2*t - 1. Let h be u(1). Suppose -h*c - 3*c + 15 = 0. Suppose c*y - 108 = -36. Calculate the remainder when y is divided by 14.
10
Let z(q) = -q**3 - 2*q**2 + q - 3. Let d be 26/(-10) - (-4)/(-20)*2. Let p be z(d). Suppose -17 = -p*i + 1. What is the remainder when 17 is divided by i?
5
Let b(t) = 53*t + 864. What is the remainder when b(-11) is divided by 429/6 + 2/(-4)?
68
Suppose -25 = -k - 23*r + 24*r, -3*k + 5*r = -77. Calculate the remainder when (121 + 1)/((-12)/(-18)) is divided by k.
15
Calculate the remainder when 10105 is divided by (-3 + 170/50)*(-4890)/(-12).
162
Suppose 5*y - 67 = -10*y + 293. What is the remainder when 422 is divided by y?
14
Let x be 0/((18/(-12))/(1/2)). Suppose x = -8*a + 32. What is the remainder when 0 - 1*(-31 + a) is divided by 10?
7
Let c = -585 + 694. What is the remainder when c is divided by ((-4)/(-12))/((-4)/(-492))?
27
Suppose 52 = -11*a + 96. Calculate the remainder when 100 is divided by a - 9/(-9)*41.
10
Let y(c) = 2*c**2 - 155*c - 335. What is the remainder when y(84) is divided by 257?
243
Let i(l) = -6*l + 7. Let z(m) = 7*m - 7. Let g(n) = -5*i(n) - 4*z(n). Suppose -2*o + 28 = -0*o. Calculate the remainder when 80 is divided by g(o).
17
Suppose -2820 - 920 = 11*h. Let b = -227 - h. What is the remainder when b is divided by 38?
37
Calculate the remainder when 4678 is divided by 108 - ((-160)/(-8) + -32).
118
Calculate the remainder when 2869 is divided by ((-450)/12)/15 - (-11)/2.
1
Suppose -w = -0 - 37. Let p = 9646 + -9636. Calculate the remainder when w is divided by p.
7
Let x = 53 + 6. Suppose 5*l - 13*b - 125 = -17*b, -7*l = -2*b - 99. Calculate the remainder when x is divided by l.
8
Suppose 44 + 26 = 5*z. Suppose -3*p = -5*v - 73, 2 = -5*v - p - 67. What is the remainder when ((-108)/v)/(8/56) is divided by z?
12
Let m be 6 - (0 + -2 - -56). Let k(o) = 4*o + 7. What is the remainder when k(7) is divided by 18 + 25/(200/m)?
11
What is the remainder when 254 + (0 - -1 - 2) is divided by 28 + 1 + (-1400)/100?
13
Suppose 0*d + 5*d + 18*d = 0. Suppose 4*j - y - 8 - 232 = d, j = 5*y + 41. Calculate the remainder when 423 is divided by j.
57
Let p(z) = -z**3 + 3*z**2 + 12*z - 4. Let h be p(-6). Let i = h - 211. What is the remainder when i is divided by 14?
9
Suppose 22*k - 25*k + 57 = j, 0 = k - 4*j - 45. Calculate the remainder when 288 is divided by k.
15
Suppose -52*y + 28*y - 13 = -25*y. Calculate the remainder when ((-18)/(-15))/(2/170) is divided by y.
11
Let l(m) = -5*m**3 - 42*m**2 + 30*m + 44. Calculate the remainder when 4787 is divided by l(-9).
10
Suppose 22144 + 5982 + 4510 = 199*q. Calculate the remainder when 517 is divided by q.
25
Suppose 19*r - 34818 = -15*r + 32944. Calculate the remainder when r is divided by 13.
4
Suppose 30*w - 1536 = 2904. What is the remainder when w is divided by 22?
16
Let v be (-20)/(-100) - (-38)/10. Suppose 3*c = -p + v*p - 2850, 0 = 5*c. Calculate the remainder when p is divided by 68.
66
Suppose -44 - 88 = -q + 2*b, -6 = -2*b. Let s = 897 + -883. Calculate the remainder when q is divided by s.
12
Let v be 20 - (6 + 0)*(-4 - -3). Suppose 23*q + v*q - 49441 = 0. Calculate the remainder when q is divided by 23.
20
Suppose 827*b + 57 = 828*b. Calculate the remainder when (-5)/3*(2 + -110) is divided by b.
9
Suppose -5*j + 68 = -17. Let b(q) = q**3 - 12*q**2 + q + 72. Let a(v) = -3*v**2 - 15*v + 12. Let l be a(-5). Calculate the remainder when b(l) is divided by j.
16
Suppose 3*c - 7*t = 30042, 3004