n f is divided by g.
9
Suppose v + 160 = 3*v. Suppose -4*f + r + r = -v, -r = 5*f - 86. Calculate the remainder when 69 is divided by f.
15
Let p(n) = -83*n - 3*n - 37*n + 30*n. Calculate the remainder when p(-1) is divided by 19.
17
Suppose -q + 3*k + 5 = -43, -2*k - 242 = -4*q. What is the remainder when 2265 is divided by q?
60
Suppose -4*g = -3*g - 3. Let t(j) = 2*j**2 + 4*j + 12*j**2 - 6 - 4 + 11. What is the remainder when t(-1) is divided by g?
2
Let r(v) = -v. Let k be r(-5). Suppose 2*j + 158 = k*b, -4*j + 132 = 2*b + 2*b. Let a = 59 - 47. Calculate the remainder when b is divided by a.
8
Let c be 8 + 1 - (2 + 0). Let g(d) = 2*d**2 - 8*d - 15. Calculate the remainder when 107 is divided by g(c).
26
Calculate the remainder when (-1 - (-8)/40)*50/(-4) is divided by 2.
0
Let z(p) = -10*p + 27. Let q be z(-10). Let d = q + -109. What is the remainder when d is divided by 10?
8
Let o(l) = -l**2 + 26*l - 35. Let x(r) = 6*r**2 - 131*r + 176. Let t(g) = -11*o(g) - 2*x(g). Calculate the remainder when t(-24) is divided by 17.
16
Let n = 255 + -149. Calculate the remainder when n is divided by 54.
52
Let x(a) = -3*a + 7. Let r be x(6). Let i = -3 - r. Let p(v) = -6*v - 11. Calculate the remainder when p(-7) is divided by i.
7
Let m = -622 + 643. What is the remainder when 351 is divided by m?
15
Let v(x) = x**2 + 10*x + 20. Calculate the remainder when 41 is divided by v(-9).
8
Let b(g) = -5*g - 2. Let y be b(-6). Suppose 5*l = -0*v - 4*v + y, 0 = 4*v + l - 12. Calculate the remainder when 19 is divided by 177/18 - v/(-12).
9
Let t(u) be the second derivative of u**4/12 + 4*u**3/3 + 18*u**2 + 4*u. What is the remainder when 47 is divided by t(-6)?
23
Let h(a) = -a**3 - a**2 + 1. Let v(k) = 9 - 5*k - 2 + k**3 + 2*k**2 - 4*k**3. Let p(u) = -2*h(u) + v(u). Calculate the remainder when 5 is divided by p(2).
2
Suppose 292 = 4*c - 5*j, 0 = -j + 5*j. What is the remainder when 363 is divided by c?
71
Let v(a) = 3*a + 1. Let m(l) = l - 1. Let u(r) = 2*m(r) + v(r). What is the remainder when u(2) is divided by 2?
1
What is the remainder when 4/6 - 70844/(-1068) is divided by 72/2 - (2 - 1)?
32
Let s(v) = 6*v + 8*v + 14 - 8 - 3*v. What is the remainder when 53 is divided by s(2)?
25
Let x(z) = z**3 - 4*z**2 - 13*z + 9. Let a be 12/30*(-2)/((-2)/15). What is the remainder when x(a) is divided by 3?
0
Let j be 108/((-8)/(-2)) - 3. Calculate the remainder when 17 is divided by ((-14)/8)/(j/(-96)).
3
Suppose -26*o = -29*o + 12. Suppose 27 - 75 = -o*k. Let p(g) = -33*g**3 - g**2. What is the remainder when p(-1) is divided by k?
8
Let s(o) = o + 206. What is the remainder when s(-35) is divided by 19?
0
Suppose 24 = 98*z - 96*z. Suppose z*y = 339 + 21. Calculate the remainder when 84 is divided by y.
24
Let h = -125 + 145. Suppose 4*u = -u + 640. Let i = -69 + u. What is the remainder when i is divided by h?
19
Suppose 5*t = 1387 - 262. What is the remainder when t is divided by 46?
41
Let r(u) = u**2 + u + 1. Let x be r(-3). Suppose -f = s - 19, -5*s + 24 + x = f. Let o(n) = 2*n**2 + 2*n + 5. What is the remainder when o(-5) is divided by f?
13
Let w = -89 + 95. Suppose -3*f + 22 = 100. What is the remainder when w is divided by f/(-6) + 1/(-3)?
2
Suppose 2*p - 2*b - 27 = 23, 0 = 3*p - b - 69. Calculate the remainder when 657 is divided by p.
19
Suppose -4*n = 23 - 95. Suppose 0 = -16*c + 49 + 15. Calculate the remainder when n is divided by c.
2
Let c = -93 - -127. What is the remainder when 209 is divided by c?
5
Suppose 3*x - 15 + 3 = 0. Suppose 5*t - x*q + 15 = 0, -q = 2*t + 2*q + 29. Let p = t - -26. What is the remainder when 55 is divided by p?
17
Let y(f) = 9*f**2 - 8. What is the remainder when y(3) is divided by 5?
3
Let m = 233 + -214. Suppose s - 34 = n, -6*n + 10 = -n. What is the remainder when s is divided by m?
17
Let l be (-30)/(-5)*(-2)/4. What is the remainder when 15 is divided by 5 + (-3 - -10) + l?
6
Suppose -6*o = b - 2*o, -b - 3 = 3*o. Calculate the remainder when 25 is divided by -4 - (b + (-1 - 0)).
7
Suppose -17*x + 15*x = 5*u - 64, 4*u + 4*x - 56 = 0. Let d(t) = -t**3 - 3*t**2 - 6*t - 5. What is the remainder when d(-4) is divided by u?
11
Let v(j) = -j**3 - 17*j**2 - 4. Let w be v(-17). Let k be 1 + 3 + 4 + w. Suppose k*b - 153 = -21. Calculate the remainder when b is divided by 17.
16
Let u(y) = 34*y - 17. Calculate the remainder when u(6) is divided by 38.
35
Let b(w) = w**3 + 5*w**2 + 6*w + 1. Let r be b(-3). Let d(m) = -m**3 + 60. Calculate the remainder when d(0) is divided by r/6 - 740/(-24).
29
Let l = -30 - -48. Let c(z) = z**3 - 2*z**2 - 5*z + 3. Let n be c(3). Let d(f) = -f**2 - 5*f - 1. Calculate the remainder when l is divided by d(n).
3
Let g(u) = -u + 8. Let m be g(6). Calculate the remainder when (4 - m) + 2 + 17 is divided by 12.
9
Let x(n) = -n**2 - 22*n + 94. Calculate the remainder when 273 is divided by x(-24).
43
Let n be 296 - 2/((-2)/2). Suppose 0 = -4*i + n + 34. What is the remainder when i is divided by 12/(-14) + 202/7?
27
Let x(v) = -v - 2. Let k be x(-11). Let c = -200 + 222. What is the remainder when (-13)/(-2 - k/(-5)) is divided by c?
21
Let n = 20 - -85. Suppose -2*a + 3*a = -24. Let s = a - -51. Calculate the remainder when n is divided by s.
24
Let t(z) = 107*z**2 - z**3 - 6*z - 4 - 1 - 112*z**2. Let q be t(-3). Let m(o) = -o**2 - 9*o - 9. What is the remainder when 21 is divided by m(q)?
10
Suppose 9 = -16*m + 745. Calculate the remainder when 316 is divided by m.
40
Suppose 6*a = 8*a - 2198. Calculate the remainder when a is divided by 38.
35
Let n(g) be the third derivative of g**4/24 + 11*g**3/6 + 8*g**2. Calculate the remainder when 21 is divided by n(-5).
3
Let w = -231 - -244. Calculate the remainder when w is divided by 5.
3
Let r(a) = -a**3 - 2*a**2 + 6*a + 6. Calculate the remainder when r(-5) is divided by ((-289)/(-51) - 6)*-18.
3
Suppose 4*c - 122 = -3*t, 4*t - c - 126 = c. Let r(k) = 2*k**2 + k - 16. Suppose -2*w + 3*x - 27 = w, 5*x = 25. What is the remainder when t is divided by r(w)?
10
Suppose 3 - 27 = -2*o. Calculate the remainder when 21 is divided by o.
9
Let j = -180 - -243. Calculate the remainder when j is divided by 18.
9
Let m = -790 - -844. Calculate the remainder when 181 is divided by m.
19
Let p = -21 + 68. Suppose 0 = -4*o + 5*w + 54, -35*o + 40*o - 78 = w. Calculate the remainder when p is divided by o.
15
Let q(r) = -4 + 3*r**2 - 15*r - 4*r**2 + 0*r**2. Calculate the remainder when q(-14) is divided by (-4)/(-16) - 23/(-4).
4
Suppose -4*g + 183 = i, -g + i + 132 = 2*g. Let r = -33 + g. What is the remainder when 35 is divided by r?
11
Suppose -4*i = 2*l - 94, -2*l + 4*l = -2*i + 46. What is the remainder when 44 is divided by i?
20
Let s = -365 + 649. Suppose -12*j = -s - 436. What is the remainder when 177 is divided by j?
57
Let m(k) = -k - 2. Let q be m(-7). Suppose g + q*p - 29 = 0, -g - 2*g - 3*p + 75 = 0. What is the remainder when 94 is divided by g?
22
Let l = 34 - 32. Suppose -2*o - l = 0, -3*p - 5*o = -2*o - 117. Calculate the remainder when p is divided by 21.
19
Let j(z) = -z**2 - 17*z + 5. What is the remainder when 134 is divided by j(-16)?
8
Suppose 11*g = 15*g - 8. Suppose 0 = g*n + r - 126, -110 = -0*n - 2*n - 5*r. What is the remainder when n is divided by 20?
5
Let n(g) be the third derivative of g**5/60 - g**4/8 - 11*g**3/6 + 2*g**2. Let w be n(5). Calculate the remainder when 9 is divided by 14/(-10)*(-6 - w).
2
Let j(p) = -p**2 - 13*p - 1. Suppose 123*w - 129*w = -114. Calculate the remainder when j(-9) is divided by w.
16
Suppose -5*n - 2266 = -2326. Calculate the remainder when 45 is divided by n.
9
Let q(h) = h**2 + 7*h + 5. Let d be q(-6). Calculate the remainder when 47 is divided by (-5 - -9)/((-3)/(-2) + d).
7
Suppose -10 = -3*d + d. Let q be d + -5 - (1 - 4). Let h(o) = o**3 - o**2 + 5*o - 2. Calculate the remainder when h(q) is divided by 8.
7
Let n = -6 - -9. Let y(z) = 13*z - 7. Calculate the remainder when 61 is divided by y(n).
29
Let v = -50 - -68. Suppose -36 = -8*r + 2*r. What is the remainder when v is divided by r?
0
Let g(t) = -t**2 - 35*t - 14. Calculate the remainder when 217 is divided by g(-34).
17
Let l(d) = 0 - 3 + 6 - 2*d. Let z be l(4). What is the remainder when 31 is divided by (z + (-16)/(-4))*-16?
15
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