the remainder when n(-7) is divided by c(0)?
20
Suppose 10*v = 73 + 127. Calculate the remainder when (25/v)/(2/16) is divided by 4.
2
Suppose 10*u + b + 59 = 14*u, -4*u + 54 = -2*b. Calculate the remainder when 1487 is divided by u.
15
Let z(h) = -26*h**3 + 2*h**2 + h - 2. Calculate the remainder when 161 is divided by z(-1).
11
Let f(g) = -g**3 + g - 3. Let o be f(-2). What is the remainder when 0 + (114*1)/o is divided by 11?
5
Let o(p) = p**3 - 5*p**2 - 12*p + 12. Let f be o(7). Suppose 21*t + 525 = f*t. What is the remainder when t is divided by 36?
33
Let o(q) be the first derivative of -9*q**2/2 + q + 2. Let n be o(-1). Suppose -6 = -c + n. Calculate the remainder when 62 is divided by c.
14
Suppose 2*j + 26 = 5*f - 12, -2*j = 3*f - 10. Let n = f + 16. What is the remainder when n is divided by 5?
2
Suppose 252 = 17*t - 479. What is the remainder when t is divided by 34?
9
Let r = -469 + 707. What is the remainder when r is divided by 64?
46
Suppose q - 27 = -4. Let f be (4/12)/((-2)/(-2082)). Suppose -4*w = 5*h - f, 3*w + 5*h = -0*h + 259. Calculate the remainder when w is divided by q.
19
Let f be (-2 - -1)/((-5)/200). Suppose -f = -3*m + m. Calculate the remainder when m is divided by 11.
9
Suppose 5*r - 12 = r. Let g(j) = -4*j - 3 + 4*j**2 - 3 + 1 - 3*j + j**r. Calculate the remainder when 68 is divided by g(-4).
22
Suppose -1783*c - 301 = -1790*c. Calculate the remainder when 62 is divided by c.
19
Let z = -1423 + 1465. What is the remainder when 82 is divided by z?
40
Let l = -22 + 47. Suppose -l = -w + 18. What is the remainder when w is divided by 1*23 - (-4 - -4)?
20
Let q be 22/(-1 - (-6)/2). What is the remainder when q/(66/208)*(-6)/(-4) is divided by 18?
16
Suppose -8*w = -10*w + 3*k + 319, -2*k = -3*w + 481. What is the remainder when w is divided by 27?
26
Let h(z) be the second derivative of -z**4/4 - 2*z**3 - 7*z**2/2 - 4*z. Let q be h(-8). Let g = -72 - q. What is the remainder when g is divided by 8?
7
Suppose 2*c + 6 + 4 = n, -5*n - c + 94 = 0. Suppose -o = 3*o - 140. Calculate the remainder when o is divided by n.
17
Let o = 84 + -92. What is the remainder when -2*(-2 + -3)*(-28)/o is divided by 9 + 2 + 0 + -2?
8
Suppose -37*y = -512 - 1449. Suppose -2*n + c - 4*c = -16, n - c - 8 = 0. Calculate the remainder when y is divided by n.
5
Calculate the remainder when 313 is divided by 43/(6192/32) - (-32)/18.
1
Suppose 3*j = -j + 4. Calculate the remainder when (660/45 + -13)*12/5 is divided by j.
0
Suppose 36 - 31 = b. Suppose 63 = b*y + 4*t, 5*y - t = 29 + 49. What is the remainder when 41 is divided by y?
11
Let k = 13 + 35. Suppose 3*t - 569 = -r, -2*t + 104 + 286 = -2*r. What is the remainder when t is divided by k?
47
Let g(i) = 2*i**2 - 6*i - 6. Let u(d) = 7*d + 3. What is the remainder when u(7) is divided by g(5)?
10
Suppose -24 = 2*s - 3*s + p, 60 = 2*s + p. Calculate the remainder when 132 is divided by s.
20
Let w(t) = t**3 - 14*t**2 + 6*t - 79. Calculate the remainder when w(15) is divided by 40.
36
Suppose -176 = -260*q + 256*q. What is the remainder when 137 is divided by q?
5
What is the remainder when 278*(6/39 - (-27)/78) is divided by 70?
69
Suppose 398 - 3730 = -34*d. What is the remainder when d is divided by 15?
8
Let i(g) = g**3 + 38*g**2 + 37*g + 106. What is the remainder when i(-37) is divided by 34?
4
Suppose 0 = -g + 118 - 566. Calculate the remainder when (-22)/(-55) + g/(-5) is divided by -3*(-1 - 112/12).
28
Let h = 18 - -5. Suppose 2*o + 5*v - 57 = 0, -3*o + 5*o - 2*v = 22. Suppose 0 = -11*l + o*l - 40. What is the remainder when h is divided by l?
7
Let s = -453 + 455. What is the remainder when 6 is divided by s?
0
Let p(b) = 2*b**2 - 5*b + 12. Let a(k) = -k**3 + 4*k**2 + k + 1. Let w be a(4). What is the remainder when p(w) is divided by 19?
18
Let h be (8/(-12))/((-3)/18). Suppose -2*c = -0*c + 4, 5*k + 2*c = -409. What is the remainder when k/6*(-8)/h is divided by 7?
6
Suppose c = -4*c + 4*r + 66, -2*c + 36 = -4*r. Calculate the remainder when 125 is divided by c.
5
Suppose 5*o + 34 = b, o = 5*b - 4*o - 70. What is the remainder when 28 is divided by b?
1
Let t = 2 + 4. Suppose 1274 = 101*i - 10*i. Calculate the remainder when i is divided by t.
2
Suppose -3*y = -3*z - 27, 2*y - 3*z = 5 + 15. Let r = -3 + y. What is the remainder when 33 is divided by 30*(36/(-10) + r)?
9
Let k = 32 + -65. Let q be k/(-3) - 0/2. Let g = 11 + q. Calculate the remainder when g is divided by 6.
4
Let s(h) = -7*h - 14. Let z(x) = -2*x**2 - 3*x - 5. Let n be z(-2). Let r be s(n). Suppose -4*u - 11 = -r. What is the remainder when u is divided by 4?
2
Let x = 89 - 59. Suppose j - 121 = -0*j - f, -4*f = 5*j - 602. Suppose 288 = 5*o + v - 2*v, 2*o + v - j = 0. What is the remainder when o is divided by x?
28
Suppose -28*z - 4464 = -46*z. Calculate the remainder when z is divided by 97.
54
Let g(i) = 61*i**2 - 30*i**2 - 3 - 29*i**2 - 14*i - 14*i. Calculate the remainder when 102 is divided by g(15).
21
Suppose -5*h - 4*k = k - 100, h - 3*k = 36. Suppose d + 3*x = 18, -2*d + d + 5*x - 22 = 0. Suppose -3 = d*g - h. Calculate the remainder when g is divided by 5.
2
Suppose 140 - 429 = -17*g. Let j(c) = 2*c**3 - 5*c**2 + 3*c + 2. Calculate the remainder when j(4) is divided by g.
11
Let b(h) = 14*h**3 - h**2 + 4*h + 10. Let g be b(-4). Calculate the remainder when (-1)/4 + -5 + g/(-24) is divided by 19.
14
Let q(b) = -108*b - 21. What is the remainder when q(-2) is divided by 18?
15
What is the remainder when (-7)/((-42)/(-30)) - -77 is divided by 13?
7
Suppose -5*q + p = -6*q + 56, 3*q = p + 176. Calculate the remainder when q is divided by 20.
18
Let s(r) = 5*r**2 - 2*r + 3. Let h(b) = -11*b**2 + 5*b - 6. Let g(m) = 4*h(m) + 9*s(m). What is the remainder when 53 is divided by g(-4)?
9
Suppose 147*b + 57*b - 1428 = 0. Suppose 4*p - 273 = 3*i + 21, -5*p - 4*i + 383 = 0. Calculate the remainder when p is divided by b.
5
Suppose 266*v - 263*v - 777 = 0. What is the remainder when v is divided by 20?
19
What is the remainder when 61 is divided by -10*(6 - (-70)/(-10))?
1
Let o = 5 - 3. Let z = -6673 - -6690. What is the remainder when z is divided by o?
1
Suppose 3*v + 19 = -32. Let z = 19 + v. Suppose z*u - 4 = 6. What is the remainder when u is divided by 3?
2
Let w(i) be the second derivative of -7*i + 1/3*i**3 + 1/6*i**4 + 0 + i**2. What is the remainder when 49 is divided by w(-4)?
23
Let x(v) = 13*v**2 - v + 1. Let u(k) = 2*k**3 + 5*k**2 - 3*k + 1. Let o be u(3). Suppose 4*i = 61 + o. What is the remainder when i is divided by x(1)?
12
Let z = 50 - -23. What is the remainder when z is divided by 19?
16
Suppose -4*y - 5*y = -36. Suppose 0 = 2*g + 4*b - 46, g + y*b = -3*g + 84. Calculate the remainder when (-1 + -19)*(-33)/12 is divided by g.
17
Suppose -2*c = 2, -3*z = -3*c - c - 274. What is the remainder when z is divided by 1 + (-82)/(-7) + (-12)/(-42)?
12
Let w = 56 - 33. Let g = w + -12. Suppose -3*j - g = -80. Calculate the remainder when 67 is divided by j.
21
Let d(b) = 10*b**3 - 2*b**2 - 4*b + 7. Calculate the remainder when d(3) is divided by 64.
55
Suppose 5*m - 2*m = 39. Let f = -2 + -4. Let z = 43 - f. What is the remainder when z is divided by m?
10
Suppose 0*u + 69024 = 32*u. Calculate the remainder when u is divided by 108.
105
Let g(i) be the third derivative of -7*i**4/24 - i**3/6 + 3*i**2. Let s(t) = 2*t**2 + 10*t + 13. What is the remainder when g(-7) is divided by s(-6)?
23
Calculate the remainder when 43 is divided by (-131)/(-7) + (-410)/(-1435).
5
Let f(b) = 25*b**2 - 7*b + 7. What is the remainder when 199 is divided by f(1)?
24
Let p be (12/10)/((-38)/(-95)). Suppose 625 = 5*j + 3*g, -p*j - 3 = 2*g - 378. Calculate the remainder when j is divided by 32.
29
Suppose -z + 155 = 4*z. Let o be (159/9)/(5/15). Let q = o + -37. Calculate the remainder when z is divided by q.
15
Let j(k) = -k**3 + 6*k**2 + 6. Let r be j(6). What is the remainder when ((-87)/r)/((-1)/6) is divided by 30?
27
Suppose 0 = 2*q - 0*q + 156. Let m = -11 - q. Calculate the remainder when m is divided by 19.
10
Suppose -2 = -2*t, 0*a - 3*a + 1469 = 5*t. What is the remainder when a is divided by 35?
33
Let x(z) = z**3 + 8*z**2 + 6*z. Let v = -423 - -439. What is the remainder when x(-5) is divided by v?
13
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