(p) is divided by (-11 + 12)*(-2 - -21)?
18
Suppose 2*p = 1 - 39. Let k = -13 - p. Calculate the remainder when k is divided by 3.
0
Let x = 531 - 514. What is the remainder when 18 is divided by x?
1
Let l be (-116)/(-6) - (2 - 32/12). What is the remainder when 2*(-3)/(-3) + l is divided by 4?
2
Let s(p) = -p**3 - 6*p**2 - p - 5. Let q be s(-6). Suppose -13*o - 22 = -14*o. What is the remainder when o is divided by 3 + 0 - (-3)/q?
4
Suppose -4*g + 8 + 0 = 0. Suppose 4*v - 12 = 0, 4*k + g*v - 9 - 145 = 0. Calculate the remainder when k is divided by 10.
7
Suppose 0 = -3*z + 8*z - 4*l - 10, 4*l = -5*z + 50. What is the remainder when 413 is divided by z?
5
Suppose 5*h - 95 = 3*z, -2*h - 2*h - 3*z = -76. Let r = 18 + h. What is the remainder when r is divided by 14?
9
Let p = -224 + 225. Calculate the remainder when 3 is divided by p.
0
Suppose 0 = 4*y - 12, -c - 7*y + 8*y + 3 = 0. What is the remainder when 106 is divided by c?
4
Let x = -16 - -99. Calculate the remainder when x is divided by 55.
28
Let c = -143 - -235. Calculate the remainder when c is divided by 5/55 - (-786)/66.
8
Suppose -2*l = 2*l - 64. Suppose p = -4*v - 3 - 129, 0 = v - p + 28. Let h = v - -94. What is the remainder when h is divided by l?
14
Suppose 0 = 3*t + 117 + 45. Let g be 7/2*t/(-63). What is the remainder when 2*17 + (-9)/g is divided by 16?
15
Suppose 4 = -5*l - 6, -486 = -4*v + 5*l. What is the remainder when v is divided by 12?
11
Suppose 7*k - 3*q + 84 = 8*k, -114 = -k + 3*q. What is the remainder when k is divided by 51?
48
Suppose -2*k + 16 = 2*k. Suppose -5*l = 0, 6*r - k*r - l - 4 = 0. Suppose 0 = r*i + 1 - 83. What is the remainder when i is divided by 11?
8
Let j(l) = 11*l**3 + 3*l**2 - l - 4. Let g be j(2). Let d(i) = -2*i**2 - 4*i + 6. Let x be d(-6). Let m = g + x. What is the remainder when m is divided by 18?
16
Suppose 0 = -4*j - 4*j + 40. Suppose -j*d + 198 = -82. Calculate the remainder when d is divided by (-8)/(-6) - (-41)/3.
11
Let l = 33 + -33. Suppose -25 = -z - l*y - y, 4*z + 3*y = 102. What is the remainder when z is divided by 7?
6
Let s = 67 + -64. Suppose 3*c - 40 = -y + 7*c, s*c = 4*y - 147. Calculate the remainder when 141 is divided by y.
33
Let a(w) = -3*w + 1. Let l(r) = r + 1. Let g(m) = -a(m) - 2*l(m). Let d(y) = -y**3 - 3*y**2 - 3*y - 2. Calculate the remainder when d(-3) is divided by g(7).
3
Suppose 10*r + 20 = -30. What is the remainder when ((-1898)/(-10) - 0) + (-1)/r is divided by 24?
22
Let j(a) = 183*a + 7. What is the remainder when j(3) is divided by 43?
40
Let t be 7/(-2)*20/(-7). Let c(h) = 4*h + 3*h - t + 4*h - h**2 - 2*h. Calculate the remainder when c(7) is divided by 1.
0
Let g = -46 + 123. Suppose -156 = -4*v + 2*f, -5*f = 4*v - g - 51. Calculate the remainder when v is divided by 13.
11
Suppose 7*n + 103 = 922. Calculate the remainder when n is divided by 24.
21
Let q(k) = -37*k + 66. What is the remainder when q(-4) is divided by 43?
42
Suppose 2*k = 5*k - 3*s - 18, -39 = -4*k - s. What is the remainder when 568/28 + (-12)/42 is divided by k?
2
Let r = -66 - -73. Suppose 2*k = 4*h + 34, 65 = 4*k - 2*h - 9. What is the remainder when k is divided by r?
5
Let z(w) = -w**3 + w**2 - 7*w + 7. Calculate the remainder when 48 is divided by z(0).
6
Let j(k) = k**3 - 7*k**2 + 15. What is the remainder when 312 is divided by j(7)?
12
What is the remainder when 169 is divided by -6 - ((1 - (-5 - 1)) + -94)?
7
Let o(p) be the second derivative of 1/20*p**5 - 3*p**2 - 1/3*p**4 - 10*p - 7/6*p**3 + 0. Calculate the remainder when 45 is divided by o(6).
21
Let q(h) = -3*h**2 - 75*h + 14. Let w(x) = -66*x**3 + 1. What is the remainder when w(-1) is divided by q(-25)?
11
Let h = 8 + -13. Suppose -3*f - 5*i - 38 + 77 = 0, 11 = f + i. What is the remainder when h/20 + (-53)/(-4) is divided by f?
5
What is the remainder when 338 is divided by (2*49)/((-10)/(-45)*9)?
44
Let q(f) = f**2 + 5*f - 2. Let t be q(6). Let z = t + -39. What is the remainder when z is divided by 2?
1
Let s(k) = -k**3 - 5*k - 6. What is the remainder when s(-7) is divided by 22?
20
Suppose 3*v - 1020 = -2*v. Suppose 4*t = 0, 2*i - 4*t = -0*i + v. What is the remainder when i is divided by 21?
18
Let k(x) = x**2 - 14*x - 7. Let t be k(9). Let c = t + 68. What is the remainder when 47 is divided by c?
15
Suppose -1843 - 1067 = -30*q. What is the remainder when q is divided by 7?
6
Suppose 144 = -36*y + 44*y. Let a = -18 - -23. What is the remainder when y is divided by a?
3
Suppose -28*c = -5214 - 7246. What is the remainder when c is divided by 45?
40
Suppose -61*r = -75*r + 560. What is the remainder when 164 is divided by r?
4
Let n be ((-1)/2)/(123/(-24) + 5). Suppose -n*y + 2*y = -60. What is the remainder when 57 is divided by y?
27
Let v(q) = 10*q + 507. Calculate the remainder when v(0) is divided by 17.
14
Let g = 390 - 338. Let h = 11 - 2. What is the remainder when g is divided by h?
7
Let a = 1642 + -1143. What is the remainder when a is divided by 125?
124
Let n be (-8)/48 + (-1058)/(-12). Suppose -4*d = 3*w - n, 0 = d + 3*w - w - 22. Calculate the remainder when d is divided by 13.
9
Suppose -5*h = -10*h + 200. Let m = 65 - h. Suppose 4*r - 7*r + 297 = 0. Calculate the remainder when r is divided by m.
24
Let p(b) = 58*b - 479. What is the remainder when p(9) is divided by 9?
7
Let k = -15 - -36. Suppose 61 = 5*x + k. What is the remainder when 46*3/12*2 is divided by x?
7
Suppose 19*j = 15*j, 3*n - 285 = j. What is the remainder when 473 is divided by n?
93
Suppose 8*g = g + 665. Suppose 0 = -z + 2*q + 28 + 2, -g = -4*z + 3*q. Calculate the remainder when 55 is divided by z.
15
Let r(m) = 25*m - 3. Let w be ((-25)/(-10))/(1/2). Suppose 47 = -0*h + w*h - v, 0 = 4*h + 3*v - 30. Calculate the remainder when r(1) is divided by h.
4
Let q(w) be the third derivative of 5*w**4/12 + 5*w**3/6 + w**2. Calculate the remainder when 49 is divided by q(2).
24
Let i = -12 + 35. Let b(n) = 19 - i + 0*n + 2*n + 5*n**2. What is the remainder when b(-3) is divided by 12?
11
Suppose 0*g - 56 = -4*g. Suppose -2*j = u - 80, -4*j + 160 = u - 3*u. What is the remainder when (-5)/j*-4*50 is divided by g?
11
Suppose s - 6162 = -12*s. Calculate the remainder when s is divided by 37.
30
Let s(r) = -8*r - 4. Let k be s(-2). Let u be (-318)/(-8)*(0 + k). Suppose 0 = 4*j - j - u. What is the remainder when j is divided by 40?
39
Suppose -17*g + 1003 = 102. What is the remainder when g is divided by 40?
13
Let p(o) = 8*o**2 + 2*o + 3. Let w be p(3). Calculate the remainder when w/6 - 9/(-6) is divided by 4.
3
Suppose 0 = -2*t - 3*a + 282, 4*t - 11*a - 546 = -8*a. Calculate the remainder when t is divided by 24.
18
Let w(l) = 22*l + 140. Calculate the remainder when 111 is divided by w(-6).
7
What is the remainder when -2 + -2 + 76 + -16 + 21 is divided by 33?
11
What is the remainder when 58 is divided by ((-10)/30)/((-1)/90)?
28
What is the remainder when (-12665)/(-75) - (-8)/60 is divided by 58?
53
Suppose 2*v - 2*d + 0*d - 980 = 0, 4*d = -5*v + 2414. What is the remainder when 104 is divided by (6/(-9))/((-12)/v)?
23
Suppose -4*w - 2*j + 34 = 0, -10 - 20 = -3*w - 3*j. Suppose -2*m + w = -3. Let r(d) = -d**3 + 8*d**2 - 9*d + 5. What is the remainder when r(6) is divided by m?
3
Suppose -2*x + 2 = -2. Suppose -4*u - 14 = -4*p + 190, -5*p - x*u = -269. Let k(i) = -2*i**3 - 2*i**2 + i - 5. What is the remainder when p is divided by k(-3)?
25
Let k(l) = 17*l + 14. Let d(u) = 6*u + 5. Let n(t) = 11*d(t) - 4*k(t). Let a be n(-3). Suppose i - a = 5. Calculate the remainder when i is divided by 3.
1
Let w(z) = 25*z + 9. Let v(f) = 25*f + 10. Let y(m) = -4*v(m) + 5*w(m). Calculate the remainder when y(5) is divided by 33.
31
Suppose 0 = f + 1 - 3. Suppose -p + 3*k = 8*k - 67, -5*k = f*p - 109. Calculate the remainder when p is divided by 23.
19
Let o(p) = p - 2. Let z be o(1). Suppose 2*b = -n + 42, -2*b + b = n - 47. Calculate the remainder when 19 is divided by z/(4 + (-212)/n).
6
Let b(d) = d**3 - 5*d**2 - 3*d - 15. Let i be b(6). Suppose w + 0*h + 73 = h, -i*w = 4*h + 233. Let t = -9 - w. Calculate the remainder when t is divided by 17.
15
Suppose -v = j + 1, -22 = -3*v + 5*j - 9. Let g(x) = 4*x + 8*x**2 + 1 - x - 5*x. Calculate the remainder when g(v) is divided by 5.
2
