 when 47 is divided by 15 + t/(-1) + -1.
8
Suppose -3*v = -48 - 252. Let b(a) = -a**3 + 9*a**2 + 5*a - 17. Let g be b(8). Let q = v - g. Calculate the remainder when 34 is divided by q.
8
Let g = -45 + 89. Let h(z) = z**2 - z - 9. Let k be h(-3). Suppose 187 - 142 = k*f. Calculate the remainder when g is divided by f.
14
Let u = 4 + 16. Let c = -1515 - -1520. Calculate the remainder when u is divided by -11 - c*(-42)/15.
2
What is the remainder when 313 is divided by (15975/(-75))/(-71)*(28 + (-1)/(-1))?
52
Let f(c) = c**2 - 19*c - 40. Let k be f(23). What is the remainder when ((-27)/(-15) - 0)/(k/3120) is divided by 10 + (1 - 1) - -1?
9
Suppose -4*h = -14 - 22. Let r = 759 + -727. Calculate the remainder when 15 is divided by 12*(r/(-8) + h/2).
3
Suppose 3*z = -18, -x - 2*z = -477 - 123. What is the remainder when x is divided by 77?
73
Suppose 427*j - 497979 + 104285 = 0. Calculate the remainder when 1851 is divided by j.
7
Suppose -c - 5*j = -63, -7*c = -4*c + 2*j - 137. Calculate the remainder when 3385 is divided by c.
31
Let y(q) = -414*q - 5607. What is the remainder when 573 is divided by y(-14)?
6
Suppose 3*x - 56 = -c, 2*x - 249*c = -245*c + 28. What is the remainder when 1*52 + 1 - 0 is divided by x?
17
Let m = -8 - -36. Suppose -572107 + 2016108 = 5213*f. Calculate the remainder when f is divided by m.
25
Let c be (-32)/(-20)*(-330)/(-4). Let i = c + 25. Calculate the remainder when i is divided by 20.
17
Suppose -d + 164 = 3*d. Let v = 271 + -332. Let a = v - -179. Calculate the remainder when a is divided by d.
36
Let z = 14 + -9. Let v(w) = 2*w + z*w + 7*w + 7. What is the remainder when v(2) is divided by 4?
3
Calculate the remainder when 1306 - (168/36)/(2/3) is divided by 62.
59
Suppose -5*k + 3*k - 11 = -j, j - 5*k = 11. Let n(l) = -6 - 4*l + l - 12 - 3 + 7*l. Calculate the remainder when 88 is divided by n(j).
19
Let p(g) = 39*g**2 + 17 - 19 - 52*g + 54*g. Let d be (2 + -1)/(1/1). Calculate the remainder when p(d) is divided by 10.
9
Let d = -81 + 84. Suppose -54 + 12 = -d*n. What is the remainder when 31 is divided by 30 + -25 + n + 0?
12
Let t = 20 - 19. Let o = 3 + t. Suppose -j = -o*a + 14, -8 = -j - 2*j + 2*a. Calculate the remainder when 23 is divided by j.
5
Let q = 355 + -351. Suppose 0 = s - q*k - 22, -3*s - 2*k = 3*k + 2. Calculate the remainder when (-42)/(-4)*(0 - -2) is divided by s.
3
Suppose b + 2*h - 32 = -b, 4 = -4*h. What is the remainder when (-1)/((650/480)/(-65)) is divided by b?
14
Let k(x) = -3*x - 14. Let l = -173 + 173. Suppose -5*y + 0 + 40 = l. Calculate the remainder when k(-12) is divided by y.
6
Suppose 1706 = 5*r + 2*z, 2049 = 270*r - 264*r + 3*z. What is the remainder when r is divided by 134?
72
Suppose 26*g - 765 = -330 + 657. Calculate the remainder when 42 is divided by g.
0
Suppose -2*r - 20 = 4*i + i, 2*i = -5*r - 8. Suppose 4*z = 5*v + 106, -3*v = -r*v - 6. What is the remainder when z is divided by 5/2*(-8 + 14)?
14
Let p be ((-3)/(-6)*2)/((-6)/(-84)). Suppose 4*d + 40 = 6*y - 2*y, 0 = d + 5*y - p. Calculate the remainder when 123 is divided by -5*(d - -5) - -26.
30
Suppose -4*p - 231*r = -226*r, 0 = 5*p - 5*r - 45. What is the remainder when 21 is divided by p?
1
Let j(i) = 80 + 17 + 4*i - 10. What is the remainder when 86 is divided by j(-17)?
10
Calculate the remainder when 2586 is divided by -1 + -2 - (-10 - -5) - (-25 - -14).
12
Let s = -19 + 32. Suppose 72*f + p = 77*f - 1750, -3*f + 1057 = -2*p. Let r = 376 - f. Calculate the remainder when r is divided by s.
1
Let d(i) = -213*i - 686. What is the remainder when d(-6) is divided by 112?
32
Let m(i) = -3 - 10 + 2*i - 219*i**2 - 12*i + 1 + 211*i**2 - i**3. Calculate the remainder when (34/(-3))/((-2)/3) is divided by m(-7).
8
Suppose 4*v + 2*j + 3720 = 0, 0*v = v + 4*j + 937. Let l = 966 + v. Calculate the remainder when l is divided by 19.
18
Let j be ((-30)/18)/((-5)/18). Let o(h) = -h**3 + 9*h**2 + 7*h - 17. Calculate the remainder when o(j) is divided by 17.
14
Let n(g) = 26 + 26 - 25*g + 15 - g**2 - 11. Let r be n(-27). Suppose 4*q - 156 = -3*i, 0 = -2*q - 3*i + 76 + r. Calculate the remainder when q is divided by 11.
6
Let n(p) = p**2 - 9*p + 39. Suppose -48 - 51 = -11*v. Calculate the remainder when 77 is divided by n(v).
38
Suppose 2*w - 6*p + 67 = -p, -25 = -5*p. Let x = w + 100. Suppose -5*t - 80 = -5*i, 4*t = 3*i + 2*i - x. What is the remainder when 73 is divided by i?
13
Suppose -x - 3*b + 19 = -0*x, -3*b = -x - 11. Suppose -2*s + x*s = 26. Suppose 73*j + 342 = 14431. Calculate the remainder when j is divided by s.
11
Let j = -2 + 47. Let s = -16 - -21. Suppose s*m = 33 + 27. What is the remainder when j is divided by m?
9
Suppose -6*y + 77 = -115. Let o = 48 - -111. What is the remainder when o is divided by y?
31
Suppose 0*m = 4*m + 16, 0 = -3*y - 2*m - 743 + 879. Let r be 44 - (-2 - (-1)/1). Let t = r + -20. What is the remainder when y is divided by t?
23
Let m(h) = 45*h + 72. Let w be m(-2). Let n = 87 - w. What is the remainder when 108 is divided by n?
3
Suppose -30 = -0*o - 15*o. Suppose 15*q = -p + 13*q + 247, 0 = 2*p + o*q - 486. Calculate the remainder when p is divided by 48.
47
Let w(c) = -2*c**3 + 215*c**2 + 106*c + 230. Let v(p) = -p**2 - 12*p - 1. Calculate the remainder when w(108) is divided by v(-11).
4
Suppose 9*y - y + 568 = 0. Let r = y - -78. What is the remainder when 54 is divided by r?
5
Let f(y) = 3*y**2 - 6*y - 6. Suppose 360*a - 1313 + 160 = 2087. What is the remainder when f(5) is divided by a?
3
Suppose -5*n + 143 = h, 17*h - 15*h - n - 187 = 0. What is the remainder when 976 is divided by h?
94
Suppose -2 = -37*f + 1367. Calculate the remainder when 271 is divided by f.
12
Calculate the remainder when 1142560/518 + (-15)/21 is divided by 32.
29
Let d(i) be the second derivative of -5/3*i**3 - 1/12*i**4 - 13/2*i**2 + 0 - 4*i. What is the remainder when 29 is divided by d(-7)?
5
Let n be (-8 - -4 - -3)*-15. Let x = 85 - 71. What is the remainder when x is divided by 5/n*(29 + 1)?
4
Suppose -4*q = 13 - 25, 41 = 4*h + 3*q. Calculate the remainder when (1/2)/((-1)/(-30)) is divided by h.
7
Suppose -25*f - 18*f = -11309. Calculate the remainder when 538 is divided by f.
12
Suppose 4*k - 16 = -2*q + 224, 3*k + 4*q - 195 = 0. Let l = 826 - 487. What is the remainder when l is divided by k?
54
Let v(h) = -6*h**2 - h**3 - h**2 + 22 - 54*h + 36*h + 25*h. Suppose 0 = -3*p - 5*s - 19, -5*s = -4*s - 1. What is the remainder when v(p) is divided by 20?
10
Calculate the remainder when 5246 is divided by ((-400)/(-500) + (-33)/10)/((-1)/4).
6
Calculate the remainder when 222 is divided by (-3753)/(-54) - 0 - 6/(-4).
9
Let g(j) = -9*j**2 - 4*j + 3. Let b be g(1). Let w be (-8)/b*(-18 - -13). Let v(k) = -5*k - 6. Calculate the remainder when 21 is divided by v(w).
7
Suppose 5*c = 9*c - 4. Suppose -2*q = -s - c, 4*q - s - 3 = 2*s. What is the remainder when (q - (-34)/3)*69/23 is divided by 9?
7
Suppose -50438 = -9*g + 75220. Calculate the remainder when g is divided by 95.
92
Let w(b) = -79*b - 1427. What is the remainder when w(-69) is divided by 66?
64
Let l(q) = 3*q**2 + 16*q + 20. Let h be l(-10). Suppose -7*d = -741 + h. Let j = d + -68. What is the remainder when 89 is divided by j?
14
Let s = 13816 - 13798. What is the remainder when 267 is divided by s?
15
Let w(n) = -2*n + 19*n - 11 + 19*n - 16. Let j(h) = 18*h - 14. Let s(p) = -5*j(p) + 3*w(p). Calculate the remainder when s(3) is divided by 11.
10
Suppose -4*w = 2*p - 1474, 2*p = -135 + 141. Calculate the remainder when w is divided by 46.
45
Let i(l) = 14*l - 18. Let u be i(2). Suppose 3*j = -5*t + 499, -9*j + 3*t - 173 = -u*j. What is the remainder when j is divided by 32?
30
Calculate the remainder when 8156 is divided by (-94)/(-2) - (-332 - -331).
44
Let x = 178 + -157. What is the remainder when (-375)/(-15) - (-1 - 3) is divided by x?
8
Let a(f) = 6*f - 1. Let c be 26/(-195) + 17/15. Let w be a(c). What is the remainder when 83/(w - 4/1) is divided by 14?
13
Calculate the remainder when 445795/376*(2 + 6) is divided by 53.
51
Suppose 2*x + 61 = 2*n - 15, 2*n - x - 72 = 0. Suppose 30*a = n*a - 64. What is the remainder when 16 is divided by a?
0
Let s be -33*(1 + -3 - -3)/1. Suppose -1 = -n - 12. Let j = n - s. Calculate the remain