 remainder when p is divided by 8?
6
Calculate the remainder when 52 is divided by 1*-1*(18 - 24).
4
Suppose -5*a + 37 = -3*g, 2*a - 4*g = 4 + 22. Suppose -10 = -4*r + 3*x, 4*r + a*x - 3*x = 20. Calculate the remainder when 26 is divided by r.
2
Suppose -78 = -3*x - 21. Suppose -3*t - 8 = -5*t, 4*t = -r + 90. What is the remainder when r - 4/4*0 is divided by x?
17
Let m(o) = 36*o - 3. Let p be m(2). Suppose -2*z + 5*z = p. Calculate the remainder when 6/(4*(-3)/(-132)) is divided by z.
20
Suppose 2*j + 3*v = 3515, -3*j - 6*v + 3917 = -1354. What is the remainder when j is divided by 16?
15
Suppose -3*x + 53 = -4*w + 5*w, -2*x + 182 = 4*w. Suppose -204 = -3*d - 4*o, 4*o + 82 = d + 30. Let q = d - 40. What is the remainder when w is divided by q?
20
Let r = 36 - 0. Let f = 47 - r. What is the remainder when 38 is divided by f?
5
Suppose 28*s - 25*s = 645. Let w = s - 147. What is the remainder when w is divided by 10?
8
Let d(t) be the first derivative of -6*t**2 - 13*t + 5. Let a be d(7). Let w = -55 - a. What is the remainder when w is divided by 9?
6
Let f(j) = 7*j**2 - 20 + 4 - j**3 + 2*j**3 - 2*j**2 - 9*j. Calculate the remainder when 143 is divided by f(-5).
27
Suppose 0 = -2*m + 5*m + 15. What is the remainder when 10 is divided by (-6)/m*50/10?
4
Let k(h) = 3*h + 12. Let i be k(-9). Let w = 8 - i. What is the remainder when w is divided by (-574)/(-49) + (-4)/(-14)?
11
Suppose -232 = -5*l - s, 0*s + s + 3 = 0. Calculate the remainder when 374 is divided by l.
45
Calculate the remainder when 86 is divided by 1840/(-30)*(-6)/8.
40
Suppose 4*l - 17 = -105. Suppose -141 = 20*t - 941. Calculate the remainder when t is divided by 3/(0 - 3/l).
18
Let a(n) = 26*n + 1. Let s be a(-3). Let w = 3 + -3. Calculate the remainder when 27 is divided by (-1 + w)/(11/s).
6
Let k(h) = h**3 - 30*h**2 + 31*h + 9. Calculate the remainder when 264 is divided by k(29).
63
What is the remainder when 52 is divided by (135/225)/(1/90*2)?
25
Suppose l + t - 67 = 0, l = -0*l + 4*t + 87. Calculate the remainder when 494 is divided by l.
68
Calculate the remainder when 158 is divided by ((-1)/(-3))/((-2)/(-426)).
16
Let x(b) = b**2 - 14*b + 17. Calculate the remainder when 25 is divided by x(14).
8
Suppose -2*p - 238 = -2*z, 5*z + 399 = 4*p + 997. Suppose -5*n + 4*i = -z, n + 5*i - 30 = 6. Calculate the remainder when n is divided by 14.
12
Suppose -g - 120 = -5*g. Suppose 0*z + 5*m = 2*z - g, -3*m + 12 = 0. What is the remainder when z is divided by 14?
11
Let w be 21*5/((-30)/(-8)). Let h = w - 16. What is the remainder when 59 is divided by h?
11
Let d = 35 - 32. Suppose 0 = -g + 3*h, -d*g + 5*g - 22 = -5*h. Calculate the remainder when g is divided by 3.
0
Suppose -2*r - 8 = 0, -2*j - 3*r = 2 - 0. Calculate the remainder when 49 is divided by (j - -5) + -5 + 8.
10
Let b be 42/9*12/8. Let y(m) = 7 - b + 22*m. Calculate the remainder when y(1) is divided by 8.
6
Let t(r) = r**3 + r**2 - 5*r + 6. Let u be t(2). Suppose -u*k - 20 = -108. Calculate the remainder when 95 is divided by k.
7
Suppose 4*y - 76 = -t, -3*y - 249 + 21 = -4*t. Calculate the remainder when t is divided by 4/(-10) - (-107)/5.
18
Suppose -483 = 3*x - 783. What is the remainder when x is divided by 31?
7
Let a(h) = 7*h**3 - 9*h**2 + 2*h + 39. What is the remainder when a(6) is divided by 73?
71
Let b be (32/(-28))/((-8)/28). Suppose 72 - 432 = -n. Suppose -d = b*d - n. Calculate the remainder when d is divided by 25.
22
Suppose 0 = -33*a + 1413 + 1194. What is the remainder when a is divided by 8?
7
Suppose 5*u + f - 32 = 5*f, -2*u + 3*f + 17 = 0. Suppose -g + u = g. Suppose 6*l - 8 = g*l. Calculate the remainder when 4 is divided by l.
0
Let y(n) = -n**2. Let k(x) = 5*x**2 + 9*x + 55. Let t(w) = -k(w) - 6*y(w). What is the remainder when 99 is divided by t(15)?
29
Suppose 0 = 12*g - 16*g - 28. Suppose -64 = -0*y - 2*y. What is the remainder when (-3)/(-21) + (0 - 664/g) is divided by y?
31
Let p = -1978 - -2061. What is the remainder when 163 is divided by p?
80
Suppose -1 + 4 = t. Suppose -3*s + 2*s = t. Let j = 3 - s. Calculate the remainder when 16 is divided by j.
4
Let r be 4294/95 + 2/(-10). Suppose -3*m + o = -13, -o + r = 5*m + 2*o. Calculate the remainder when 21 is divided by m.
3
Let q(o) = 2*o**3. Let f(m) = m**3 + 13*m**2 - 14*m + 1. Let i be f(-14). Let c be q(i). Suppose c*l - 6 = 6. Calculate the remainder when 20 is divided by l.
2
Suppose 22*w - 621 = -w. Calculate the remainder when 107 is divided by w.
26
Suppose 4*j - 2*j - 10 = -u, -4*u = 5*j - 22. What is the remainder when 98 is divided by j?
2
Let d = 684 - 420. What is the remainder when d is divided by 38?
36
Let y(x) = -x**3 + 6*x**2 - x + 6. Let v be y(6). Calculate the remainder when (-14 - -23) + v + -2 is divided by 2.
1
Calculate the remainder when 25*(-9)/(-30)*12/10 is divided by 2/(-9) - 1008/(-162).
3
Let h = -3 + 84. What is the remainder when h is divided by 6?
3
Suppose -4*b - 32 = -5*q, -b = q - 4*q + 15. Calculate the remainder when 2/q*-2*-92 is divided by 24.
20
What is the remainder when 185 is divided by 23 + ((-24)/12)/(2/6)?
15
Suppose -35*o + 4108 = 17*o. What is the remainder when o is divided by 20?
19
What is the remainder when 1577 is divided by -1 + (-12)/(-10) + (-12608)/(-160)?
76
Let w = 13 + -11. Let x(y) be the third derivative of y**4/4 + y**3/3 + 2*y**2. Calculate the remainder when 41 is divided by x(w).
13
Suppose 5*h - 16 = -2*i + 29, 0 = -4*i + 4*h + 76. What is the remainder when 48 is divided by i?
8
Let j(l) = -l**3 - l**2 + 17*l + 3. What is the remainder when j(-6) is divided by 12?
9
Let c = 31 - 28. Suppose 0*l + c*l = 33. What is the remainder when 21 is divided by l?
10
Let l(x) = 2*x - 12. Let r be l(6). Calculate the remainder when 10 is divided by r*(0 + -1) + 3.
1
Let v = -228 - -766. What is the remainder when v is divided by 11?
10
Let m(g) = g**2 + 40*g + 237. Calculate the remainder when 94 is divided by m(-34).
28
Let a be (8/3)/(26/(-39)). Let s(o) = -6*o - 14. Let g(w) = 5*w**2 - 2*w - 1. Calculate the remainder when s(a) is divided by g(-1).
4
Suppose -86*f = -55*f - 9858. Calculate the remainder when f is divided by 55.
43
Let h(o) = o**3 - 8*o**2 + 10*o - 4. Let k be h(7). Let w be (3 + (-138)/18)*18. Let s = k - w. Calculate the remainder when s is divided by 26.
23
Suppose -3*j = 3*t - 18, 14*j - 9*j = 10. Suppose h - 2*u - 18 = -4*h, 3*h = -4*u - 10. What is the remainder when (-3)/t*-8 - 1 is divided by h?
1
Let k = 776 - 663. Calculate the remainder when k is divided by 19.
18
Let y = -41 + 46. Suppose -j + 9 = 2*d, -j + 4*j = -15. Calculate the remainder when d is divided by y.
2
Let m = 30 - 14. Suppose 0 = z - 0*z - i - 1, -5 = z + i. Let r = 8 + z. What is the remainder when m is divided by r?
4
Suppose -3*i + 498 = 3*i. What is the remainder when i is divided by 34*6/15*(-10)/(-8)?
15
Let f = 313 - 119. Suppose 2*q - o = 121, -f + 471 = 4*q + 5*o. Let y(r) = r**2 + 4*r - 5. Calculate the remainder when q is divided by y(3).
15
Suppose -48 = -9*n + 1329. What is the remainder when n is divided by 5?
3
Let d(b) = -b + 24. Calculate the remainder when 317 is divided by d(-5).
27
Suppose 0 = -3*q + 32 - 14. What is the remainder when 97 is divided by q?
1
Suppose l + 1 = 2*y, l = -2*y + 6*y - 5. Suppose 3*z - 106 = 5*x, 2*x + 8 - 47 = -z. Let w = z - l. Calculate the remainder when 100 is divided by w.
32
Suppose 2*n - 23 = -z + 28, 2*n = z + 45. Calculate the remainder when n is divided by 9.
6
Let u = -573 + 615. Calculate the remainder when 49 is divided by u.
7
Let k(x) = x**2 - 12*x + 18. Calculate the remainder when 123 is divided by k(13).
30
Let m(t) = -2*t - 2. Let w be m(-2). Suppose w*g - 57 = -11. What is the remainder when 37 is divided by g?
14
Suppose -13*s + 38*s - 1275 = 0. Calculate the remainder when s is divided by 27.
24
Suppose 8 + 32 = 2*c. Suppose -2*q = -3 - 23. Calculate the remainder when c is divided by q.
7
Let y = 32 + -20. Let v = 11 - y. Calculate the remainder when (12/(-5))/(v/5) is divided by 5.
2
Let s = -72 - -138. Let w = 26 - s. Let v = w - -57. Calculate the remainder when v is divided by 10.
7
Let q(o) = o**2 + 4*o + 9. Let t = 32 + 154. What is the remainder when (t/(-9))/((-2)/6) is divided by q(-6)?
20
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