+ 0*t**2. Let m be n(7). Let a = m + -16. What is the remainder when a is divided by 19?
17
Suppose r + 2*r = 51. Let d = 23 - r. Calculate the remainder when 21 is divided by d.
3
Suppose -4*y = -y - 30. Let a(m) = -m**3 - 13*m**2 + 13. Let l be a(-13). Suppose 16*g - 114 = l*g. Calculate the remainder when g is divided by y.
8
Let x be -2*(-3)/(-12)*-6. Let a(l) = -17*l + 4 - 4 + x + 13*l. Calculate the remainder when a(-7) is divided by 16.
15
Let y be 702/(-13) - 2/1*-1. Calculate the remainder when (-2 + y)/(-2 - (-2)/4) is divided by 13.
10
Suppose -3*r + 3*k - 6*k + 54 = 0, 8 = -4*k. Let y = 75 - -62. What is the remainder when y is divided by r?
17
Let d(m) be the third derivative of -1/6*m**3 + 1/30*m**5 + 1/8*m**4 + 0 + 0*m + 3*m**2. What is the remainder when d(-4) is divided by 5?
4
Let s = 152 - 116. What is the remainder when -6*(-214)/4*12/s is divided by 22?
19
Let q(u) = -u**3 + u**2 - 2. Let n be q(2). Let m = n + 22. Suppose -m = -5*p + 29. Calculate the remainder when 24 is divided by p.
6
Suppose -2*c - 5*a + 10 = -8, 12 = -3*a. Let d(t) = -t**3 - 3*t**2 + 14*t + 107. Calculate the remainder when d(-6) is divided by c.
17
Let k(r) = -6*r**3 - 11*r**2 - 32*r - 250. What is the remainder when k(-8) is divided by 8?
6
Let p = 55 + 484. What is the remainder when p is divided by 45?
44
Suppose 4*l - 2 = 3*d, 3*l + 4 = -2*d - 3. Calculate the remainder when 27 is divided by (-2)/((-8)/(-10) + l).
7
Let n = -132 + 176. Calculate the remainder when n is divided by 31.
13
Suppose -65*n + 13719 = 2149. What is the remainder when n is divided by 3?
1
Suppose -3*s = 5 - 122. Suppose 3*h = y + 35 - 164, -347 = -3*y + h. Calculate the remainder when y is divided by s.
36
Let b(t) = -t + 11. Let j be b(9). Let r be 1 + j + 0 + 1. Calculate the remainder when 54 is divided by r/3*42/4.
12
Let b be 1*(-1 + 1)/(-4). Suppose b = 9*x - 4*x - 155. Calculate the remainder when 183 is divided by x.
28
Let b(t) = -23*t - 1. Suppose 3*z = -40 + 46. Suppose -h = -3*d + 22, 4*d = z*h - 5*h + 12. Calculate the remainder when b(-1) is divided by d.
4
Suppose -5*a - 15 = 0, 7*d - 3*a = 10*d + 288. Let l = d - -211. What is the remainder when l is divided by 10?
8
Let o(b) = 0*b + 2262*b**2 - b**3 - b - 2251*b**2 + 21. What is the remainder when 47 is divided by o(11)?
7
Suppose -1755 = 19*d - 58*d. What is the remainder when 131 is divided by d?
41
Let m = 0 + 5. Let b be (-13)/(-26)*(-12)/(-2). Suppose -3*t - m*a + 58 = 0, -1 = -b*a - 13. What is the remainder when 76 is divided by t?
24
Suppose -2*t = t - 6. Let d(q) = q**3 + 3*q - 1. What is the remainder when (-33)/22*(-200)/6 is divided by d(t)?
11
Let h(d) = 14*d - 140. What is the remainder when 25 is divided by h(11)?
11
Let u = 59 - 23. Let v = u - -2. Calculate the remainder when v is divided by 144/14 + (-8)/28.
8
Suppose 3*a - a = 0. Suppose 5*j - 89 - 6 = a. Calculate the remainder when j is divided by (-1)/(-3) + (-20)/(-3).
5
Let l be ((-162)/15)/(-2) + 4/(-10). Suppose -606 = -l*k - 191. What is the remainder when k is divided by 21?
20
Let f = 40 - 21. Suppose 0*s = s - k - 36, -3*k = s - 32. What is the remainder when s is divided by f?
16
Suppose -5*g = -92 + 27. Let x(q) = 53*q + 279. What is the remainder when x(-5) is divided by g?
1
Suppose -h = -4*g + 1431, 23*h + 12 = 19*h. Calculate the remainder when g is divided by 58.
9
Suppose 0 = 35*u - 29*u - 660. What is the remainder when u is divided by 14?
12
Let i(d) = -8*d + 50. Calculate the remainder when i(-12) is divided by 30.
26
Let h(c) be the third derivative of c**6/40 + c**5/30 - c**4/8 - c**2. Let w(j) = 2*j - 1. Calculate the remainder when h(2) is divided by w(5).
8
Suppose 2*h + 3*h = 50. Let a(s) = -44*s - 6. Let p be a(-1). Suppose p = -5*v + 128. Calculate the remainder when v is divided by h.
8
What is the remainder when 114 is divided by (-65)/20*(2 - 18)?
10
Let j = 58 + -56. Suppose -x = -3*q + x + 237, 2*q - j*x = 160. Calculate the remainder when q is divided by 10.
7
Let j = -1126 - -1223. What is the remainder when 872 is divided by j?
96
Let f be (-2)/(1/(3 + -5)). Suppose 0 = -f*o - 58 + 10. Let n = 23 + o. What is the remainder when 19 is divided by n?
8
Let x = 43 - 54. Let a(r) = -r**3 - 12*r**2 - 13*r - 12. Calculate the remainder when 108 is divided by a(x).
8
Let l(r) = -3*r + 3. Let y be l(2). Calculate the remainder when 52 - (y + 4 + -3) is divided by (7/3)/(8/48).
12
Suppose -3*u + 142 + 170 = 4*d, -4*u + d = -435. Calculate the remainder when u is divided by 59.
49
Let d(h) = 2*h - 5. Let w be d(8). Let g(n) = -11 + 7*n + w. What is the remainder when g(1) is divided by 5?
2
Let l(h) = 4*h**2 - 14*h - 6. Let i be l(6). Suppose -i = -7*o + o. Suppose 0 = 3*x - 9 - 3. What is the remainder when o is divided by x?
1
Suppose 4*o = 1410 - 442. Let t(a) = 4*a - 1. What is the remainder when o is divided by t(7)?
26
Let x = -7452 + 7457. Suppose -g + 5*r + 62 = 0, 24 = 2*g - 3*r - 72. Calculate the remainder when g is divided by x.
2
Suppose -w - 2*w = -27. Suppose 4*i + w = 5*i. What is the remainder when 26 is divided by i + -6 + (3 - -1)?
5
Let o(m) = m**2 - 9*m + 2*m - 2 + 5*m**2 + 10*m. Suppose -3*i + 0*i + 33 = 0. Calculate the remainder when o(-3) is divided by i.
10
Suppose 3*u = v - 6, 0 = -3*v + u - 6*u + 4. Suppose 15 + 3 = v*w. Let d(p) = -p**3 - 2*p**2 + 4*p + 6. Calculate the remainder when d(-4) is divided by w.
4
Suppose 1032 = -0*q + 2*q. Suppose 7*x = 4*x - q. Let r = -122 - x. What is the remainder when r is divided by 17?
16
Suppose 40*c = 351 + 729. Calculate the remainder when 36 is divided by c.
9
Suppose -14*y + 365 - 99 = 0. Calculate the remainder when 63 is divided by y.
6
Let d(p) = -3*p + 1. Let q be d(2). What is the remainder when 2 - (-1*1 + (q - 39)) is divided by 17?
13
Suppose -14*s - 150 = -5*i - 9*s, -46 = -i + 5*s. Let n(w) = -w + 1. What is the remainder when i is divided by n(-8)?
8
Let n = 7 + -1. Let b(l) = -3*l + 6. Let s be b(n). Let w = -2 - s. Calculate the remainder when 37 is divided by w.
7
Let i be 16/(-2 - 2) + 4. Suppose c = -i*c + 4. Suppose 0 = -3*u + c*u - 40. Calculate the remainder when u is divided by 14.
12
Suppose -4*c - 8 = -8*c. Suppose 29 = y - c*o, 3*y + 2*o = 4*o + 75. Calculate the remainder when y is divided by 13.
10
Suppose 2*g + 2*g + 20 = 0, -4*w + 35 = -3*g. What is the remainder when 11 is divided by w?
1
Let a(d) = 2*d + 22. Let f = 47 + -39. What is the remainder when a(4) is divided by f?
6
Let a(z) = 3*z - 14. Let n be a(6). Let y(o) = -o + 2*o + 4 - 5*o + 7*o. Calculate the remainder when 60 is divided by y(n).
12
Let p be (-64)/10 - (-18)/(-30). Suppose 4*f - 7 = 1. What is the remainder when 41 is divided by 1 - (f*p)/1?
11
Let c(n) be the first derivative of 3*n**2/2 + 10*n + 5. Let m(x) = -2*x - 5. Let t(p) = -4*c(p) - 7*m(p). What is the remainder when 32 is divided by t(8)?
10
Suppose -26 = -2*c - 12. Calculate the remainder when 83 is divided by c.
6
Let x = 21 - 14. Let r be (-29)/5 + x/(-35). What is the remainder when (r + 5)/(1/(-17)) is divided by 6?
5
Let z(w) = 8*w**2 + 34*w - 60. Calculate the remainder when z(-15) is divided by 28.
26
Let p(r) = 2*r + 27. Let f = 28 + -12. What is the remainder when f is divided by p(-9)?
7
Let p = -77 - -110. Let r(m) = -m**3 + 8*m**2 + 3*m + 1. Let u be r(8). Let a = p + u. Calculate the remainder when a is divided by 20.
18
Suppose 4*m - 82 = 5*d - 7*d, 5*m - 3*d = 97. Calculate the remainder when 439 is divided by m.
19
Suppose -3*f - 2*f + 20 = 0. Calculate the remainder when 6*(7 - -4 - 8) is divided by f.
2
Suppose -3*c - 15 + 39 = 0. Let p = -4 + c. Calculate the remainder when 21 is divided by p.
1
Let w(z) = -z**3 - 12*z**2 + 2*z - 53. Calculate the remainder when w(-14) is divided by 26.
25
Let d = 9 - 9. Suppose d = -4*n - n - 165. Calculate the remainder when n*(4 - 2)/(-6) is divided by 7.
4
Let a be 4 - (2 - 140)/(-3). Let d = a - -72. What is the remainder when d is divided by 11?
8
Let p = 63 + -61. Suppose -p*b + 12 = -0*b. What is the remainder when b is divided by 2?
0
What is the remainder when 6364/20 + (-1)/5 is divided by 10?
8
Suppose 0 = -4*m + 3*y - 6, 3*m - y = -4*y - 15. What is the remainder when 100 is divided by (2/(-5))/(m/195)?
22
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