))/((-2)/(-24)). What is the remainder when g/3 + 2 - 1 is divided by (3/(-2))/(15/(-20))?
0
Let l be 1 - 1/((-1)/3). Let q be (l/(-10))/((-3)/240). Suppose 0 = -z + q - 16. Calculate the remainder when 60 is divided by z.
12
Let w(h) = -h**2 - 14*h + 14. Let t be w(-10). Suppose 5*y = 2*y + 5*z + t, z = 3*y - 66. What is the remainder when y is divided by 6?
5
Let u = 189 + -180. Calculate the remainder when u is divided by 7.
2
Let s = -956 - -1340. Suppose -10*u = -14*u + s. Calculate the remainder when u is divided by 34.
28
Let u(q) = -q**2 - 20*q + 3. What is the remainder when 10 is divided by u(0)?
1
Suppose 5*b - 2*b - 5*w = -10, -4*b + 5*w = 5. Suppose 0 = -b*x - 5*o + 60, 2*o = 2*x - 3*o - 17. Calculate the remainder when 20 is divided by x.
9
Suppose 19*s - 16*s - 24 = 0. Suppose -s*f + 45 = -75. What is the remainder when 28 is divided by f?
13
Let m = 445 + -636. Let z be m/(-3) - (-4)/(-6). Suppose 3*c + z = 3*f, 3*f = -2*c - 0*c + 73. Calculate the remainder when f is divided by 12.
11
Let y(t) = t**3 - t**2 + t + 4. Let m be y(0). Suppose 240 = 5*c - m*j + 2*j, -4*c + 192 = -2*j. What is the remainder when c is divided by 17?
14
Let m(q) = 7*q + 18. Let g = 22 + -24. Suppose -9 = -3*i - 5*y + 1, 3*y = 4*i - 52. Calculate the remainder when i is divided by m(g).
2
Suppose -29*x = -274 - 857. What is the remainder when 162 is divided by x?
6
Suppose 7*h - 63 = 4*h. Suppose h = 2*f - 7. Calculate the remainder when 23 is divided by f.
9
Suppose -7*q + 2*q + 181 = -p, 0 = 2*q - 2*p - 74. Let j = q - 26. What is the remainder when (259/21)/((-1)/(-3)) is divided by j?
7
Suppose -c = 4*c - 5*j - 130, 2*c - j - 51 = 0. Calculate the remainder when 96 is divided by c.
21
Suppose 0 = 7*l + 10*l - 204. Calculate the remainder when 356 is divided by l.
8
Suppose u = -2 + 4. Suppose -3*r = -4*f - 281, -u*r + 3*r - f - 94 = 0. Calculate the remainder when r is divided by 24.
23
Let v = 9 - 2. Suppose 2*l + 5*q - 4 = 0, l = 2*q - v*q + 2. Suppose -2*j + 3*s = 2*j - 129, 0 = -l*s + 10. Calculate the remainder when j is divided by 19.
17
Calculate the remainder when 191 is divided by -2 + ((-2)/13 - 6600/(-650)).
7
Suppose f + 131 = 3*i, 209*i = 212*i + 5*f - 119. Let v be (26/4)/((-1)/2). Let d = 28 + v. What is the remainder when i is divided by d?
13
Let c be (-145)/(-2 - -7)*-1. Let f = c - 18. What is the remainder when f is divided by 4?
3
Suppose 4*q - 10 = 4*g - 7*g, 0 = -g + 4*q - 2. Let k(j) = j**3 - j**2 - 2. What is the remainder when -3*((-8)/6 + -1) is divided by k(g)?
1
Suppose -2*p + 7*p - 90 = -4*q, 4*q = p + 6. Suppose 0 = -3*j + 5*o + 610, -j + o + 0*o = -206. What is the remainder when p is divided by j/24 + (-2)/(-8)?
5
Suppose -2*w + 85 = 5*f, -3*f - 2*w - 2*w = -51. Calculate the remainder when 815 is divided by f.
16
Let r = -37 + 41. What is the remainder when 2 is divided by (r - (-2 - (0 + -4)))*1?
0
Suppose 510 = 5*o - 22*o. Calculate the remainder when 21/9*21/(-14)*o is divided by 28.
21
Let g(k) = k + 7. Let b be g(-5). Suppose -12 + 4 = -b*x, -2*u = -3*x + 10. Let w(c) = c**2 - 18*c + 82. Calculate the remainder when u is divided by w(9).
0
Suppose -z + 37 = -4*n - 6, 2*z + 3*n = 86. What is the remainder when 340 is divided by z?
39
Let v be ((1 + -1)/3)/1. Suppose -6*o + 170 = 4*a - o, 2*a + o - 88 = v. Let i = a - 32. What is the remainder when 23 is divided by i?
10
Let z(l) = l**2 - 10*l + 5. Let d be z(9). Let j(m) = -m**3 - 2*m**2 + 6*m + 3. Let g(x) = 33*x**3 - x. What is the remainder when g(1) is divided by j(d)?
10
Let r be (10/(-30))/((-1)/(-3)) + 0. Let c(h) = -16*h - 1. What is the remainder when 22 is divided by c(r)?
7
Let c = -67 - -106. Let y = -34 + c. What is the remainder when 24 is divided by y?
4
Let m(z) = 2*z - 8. Suppose 9*y - 207 = 6*y. Calculate the remainder when y is divided by m(7).
3
Let i = -547 - -652. Calculate the remainder when 418 is divided by i.
103
Suppose -6*u = -u + 4*v - 126, -2*u - 4*v + 60 = 0. Calculate the remainder when -3 - (16/(-2) - 124) is divided by u.
19
Let y = -52 + 78. Let p(i) = -3*i**3 + i**2 - 12*i - 24. Calculate the remainder when p(-3) is divided by y.
24
Suppose 0 = -k + 3 + 3. Suppose 0 = -9*t + 7*t. Suppose t = 5*l + j - 73, 3*l - 4*j = -0*l + 30. What is the remainder when l is divided by k?
2
Let q(v) = 8*v - 13. Let l be q(2). Suppose l*z = -17 + 86. What is the remainder when z is divided by 10?
3
Let q = 8 - 15. Let s(t) = -t**3 - 6*t**2 + 10*t - 2. Let c be s(q). Let w = c - -37. Calculate the remainder when 26 is divided by w.
12
Suppose 4*n + 377 = 5*m + 59, -3*n + 304 = 5*m. Calculate the remainder when m is divided by 32.
30
Let d = -76 - -100. Let p(t) = 2*t**3 - 3*t**2 - 2. Calculate the remainder when (198/4)/(d/48) is divided by p(3).
24
Suppose 4*z + 105 = 2*s + 3*s, -3*z - 83 = -4*s. What is the remainder when ((-12)/(-15))/((-10)/(-600)) is divided by s?
14
Suppose 40 + 16 = 7*g. Suppose 2*x = -g, 0 = -3*o - 4*x - x - 26. What is the remainder when 31 is divided by (64/10)/(o/(-5))?
15
Let j = -35 + 35. Suppose v = -j*v + 23. What is the remainder when 68 is divided by v?
22
Let j(g) = g**3 + 4*g**2 - 12*g + 14. Let b be j(-6). Suppose -59 = -b*x + 25. Calculate the remainder when 13 is divided by x.
1
Let l be (-3 + (-90)/(-3))*-3. Suppose 4*w = -5*v + 35, -6*v = -v - 5*w + 10. Calculate the remainder when (l/21 + 3)*-7 is divided by v.
0
Suppose 11 - 25 = -7*s. Calculate the remainder when -2 + (2 - -51) + s is divided by 18.
17
Let u be 1/4 - 2/8. Suppose 4*l - r - 25 = 0, -4*r = -u*l - 5*l + 34. What is the remainder when 2/((-4)/(-6)) + -6 + 26 is divided by l?
5
Suppose 20*m - 204 = 3*m. Let o(r) = -8*r - 7. Calculate the remainder when o(-8) is divided by m.
9
Suppose 4*p - f = 156, -p - p + f = -80. Let u = 76 - -42. Suppose 0 = -m - 4, 3*t = 5*m - 38 + u. What is the remainder when p is divided by t?
18
Suppose 0 = 4*r + 13 - 9. Let z(c) = 11*c**2 - 3*c - 2. Calculate the remainder when 17 is divided by z(r).
5
Let u(j) = 26*j**3 + j**2 - 1. Suppose 0 = -22*k - 931 + 3175. Calculate the remainder when k is divided by u(1).
24
What is the remainder when 149 is divided by (-2 - -1)/(58/(-4350))?
74
Let s(l) = l**3 + 6*l**2 - 6*l + 1. Calculate the remainder when s(-5) is divided by -4 + 36*1 + (0 - 3).
27
Calculate the remainder when 272 is divided by (220/(-77))/(-10) + 2124/14.
120
Let s = 268 + -212. What is the remainder when s is divided by 10?
6
Let f = -5 - -9. Suppose -16 = -2*b - f. Suppose -120 = -43*d - 34. Calculate the remainder when b is divided by d.
0
Suppose -10 = 2*v - 2. Suppose 32*d = 26*d + 12. What is the remainder when v + 1*(d + 29) is divided by 15?
12
Let l(k) = -k + 16. Let r(o) = -2*o + 48. Let h(t) = 8*l(t) - 3*r(t). Let g be h(-9). What is the remainder when 11 is divided by ((6 - 4) + 0)*g?
3
Let d(v) = -24*v - 3. Let w be d(-2). Let c = w - 9. What is the remainder when c is divided by 10?
6
Let b(l) be the second derivative of 11*l**4/6 + l**3/6 - l**2/2 - 2*l. Let m be b(1). What is the remainder when 21 is divided by m/(-6)*(6 + -9)?
10
Let d(z) = 2*z**2 - 3*z - 18. What is the remainder when d(-10) is divided by 71?
70
Let t(f) = -f**2 + 11*f - 8. Let p be t(8). Let i(l) = 2*l - 17. What is the remainder when i(p) is divided by 6?
3
Let s = -23 - -41. Suppose -5*b = -2*o - 17, 0 = 2*o - b + 3 + 10. What is the remainder when ((-8)/o)/(4 - (-606)/(-153)) is divided by s?
16
Let a be (-3)/(9/(-114)) - -1. Suppose 3*p - 2*h - 52 = -3*h, -5*h + a = 2*p. Let y = p - 5. What is the remainder when y is divided by 3?
0
Suppose -5*g - 4*w = -1162, 4*g - w - 928 = -5*w. Calculate the remainder when g is divided by 47.
46
Let h = 265 + -207. What is the remainder when 288 is divided by h?
56
Let s(f) be the first derivative of 93*f**4/4 + 2*f**3/3 - 3*f**2/2 + f + 12. What is the remainder when s(1) is divided by 16?
13
Let m(j) = -j**3 - 5*j**2 + 6*j. Let w be m(-6). Let s = w - 0. Calculate the remainder when 34 is divided by 12 - (s/(-1) + 3).
7
Let n(f) = -f**2 - 2*f - 80. Let b be n(0). Let l = -68 - b. Suppose -3*h - h = -28. What is the remainder when l is divided by h?
5
Suppose -4*l = -20, 5*g = -3*l + 5*l + 475. Calculate the remainder when g is divided by (6/(-4))/(105/(-1750)).
22