26
What is the remainder when 8/(104/(-65))*(-23 - -1) is divided by 31?
17
Suppose -6 = -5*f + 19. Suppose -i = -4*z + 159, 3*z + f*i + 34 = 159. Calculate the remainder when z is divided by 17 + 6 + 27/(-3).
12
Suppose 30 = y + 10. Suppose -12*o = -7*o + 85. Let d = y + o. What is the remainder when d is divided by 2?
1
Suppose -26*w - 136 = -30*w. Calculate the remainder when w is divided by 20.
14
Let k = 33 - 28. Suppose -55 = -k*i - 0*i. Let d(s) = -s**2 - 12*s - 4. What is the remainder when d(-5) is divided by i?
9
Let n = -53 - -56. Suppose 2*f = 3*d - 16, -n*f + 5*f + 4 = d. Calculate the remainder when 21 is divided by d.
3
Let p = -22 + 34. Suppose 3*m = 4*x + m - 16, 0 = 2*x - 5*m - 16. Suppose 5*h + a - 250 = -18, -a = -x*h + 136. What is the remainder when h is divided by p?
10
Suppose -104 = -5*q + 86. Let j = 25 + 107. Let w = -59 + j. What is the remainder when w is divided by q?
35
Suppose -2*x = -0*x - 8. Let f(h) be the third derivative of -h**5/60 + 5*h**4/12 - 3*h**3/2 + 391*h**2. What is the remainder when f(x) is divided by 6?
3
What is the remainder when 259 is divided by 13 - 24 - (-79)/1?
55
Let v be 615/(-25) + (-3)/(-5). Let p = v + 10. Calculate the remainder when 20 is divided by ((-4)/(-6))/(p/(-231)).
9
Suppose -v + 7*v - 30 = 0. Suppose 3*w - 328 = -v*h, 2*w + 268 = 4*h + 3*w. What is the remainder when h is divided by 23?
22
Let f = 779 + -703. What is the remainder when f is divided by 8?
4
Suppose 0 = 2*c - 31 + 7. Let g(f) = f**2 + 7*f + 12. Let i be g(-5). Suppose -i*z + z + 20 = 0. Calculate the remainder when z is divided by c.
8
Suppose 4*q - 9 = 7. Suppose 177 = -3*k + 621. Suppose 0 = q*t - 32 - k. Calculate the remainder when t is divided by 23.
22
Suppose 2*q - 1 = 5. Suppose -2*o - 2 = -q*o. Suppose -4*d + 60 = -5*i, -5*d + 0*i + o*i + 58 = 0. What is the remainder when 27 is divided by d?
7
Let i(a) = -a**3 - 10*a**2 + 12*a + 14. Suppose 8*p - 4*p = 100. Let s = p - 17. Calculate the remainder when s is divided by i(-11).
2
Let h be (-490)/20 - 1/(-2). Suppose -3*j + 171 = -30. Let c = h + j. What is the remainder when c is divided by 15?
13
Let w = -739 - -1137. Calculate the remainder when w is divided by 80.
78
Suppose 4*w - 89 = 3*g, 0 = -2*w - 2*w - 3*g + 95. Calculate the remainder when 75 is divided by w.
6
Suppose 1589 = -4*i + 1773. Calculate the remainder when 147 is divided by i.
9
Let v be 2/6 + (120/(-9) - -3). Calculate the remainder when 55 is divided by 5/(v/(-28))*1.
13
Suppose -5*h - 128 = -2*z, 90 = z + 5*h + 11. Suppose 55 = 4*q - z. What is the remainder when q is divided by 17?
14
Suppose 5*d + 5800 = 45*d. What is the remainder when d is divided by 44?
13
What is the remainder when 451 is divided by 3 + ((-335)/(-5) - -6)?
71
Let u(t) = 44*t - 106. Calculate the remainder when 264 is divided by u(4).
54
Let h = -648 + 951. Suppose -h = -4*n + 1. Calculate the remainder when n is divided by 40.
36
Let u = 3152 + -2644. What is the remainder when u is divided by 85?
83
Let y be (6 + -4)*(0 + 2). Suppose 3*v = -v - y*w + 316, -5*v + 4*w = -359. Suppose 0 = -2*p + 25 + 13. Calculate the remainder when v is divided by p.
18
Let q(b) = 0*b - 3*b**2 + 4*b**2 + 5 + b. Calculate the remainder when q(-5) is divided by 14.
11
Suppose 0 = -3*n + 2*n + 1. Let m(q) = q**2 - 2*q + 4. Let p be m(2). What is the remainder when ((-2)/p)/((-3)/12) is divided by n?
0
Let g = -61 + 19. Let o = -29 - g. What is the remainder when 36 is divided by o?
10
Let y = 30 + -24. Suppose 3 + 3 = y*s. Calculate the remainder when 3 is divided by s.
0
Suppose 0 = -4*r - 2*y + 198, 0 = -4*y + 4. Suppose -2*g - 67 = b, -8*g = -3*g + 5*b + 165. Let f = g + r. Calculate the remainder when 29 is divided by f.
14
Let y = 32 - 33. Let b = 63 + y. Calculate the remainder when b is divided by 16.
14
Let t(m) = m**3 - m**2 - m + 13. Let x = -28 + 31. Let w be (3 - -3) + -3 - x. What is the remainder when 37 is divided by t(w)?
11
Let w be 76/18 - 8/36. What is the remainder when (-2)/12*4 + 68/3 is divided by (w + -2 + 4)/1?
4
Suppose 0*o - 3*o - 6 = 0. Suppose -3*f - 28 = 20. Let k = o - f. Calculate the remainder when 39 is divided by k.
11
Suppose -18*j + 550 = -24*j + 31*j. Let q(d) = 16*d - 9. What is the remainder when q(6) is divided by j?
21
Suppose 2200 = -3*n - b, -b = -4*n - 0*b - 2938. Suppose -4*m = -3*m + 2, 0 = -k - m + 12. What is the remainder when 4/18 + n/(-18) is divided by k?
13
Let n = 6 + -12. Suppose -9*x - 16 = -5*x. Calculate the remainder when 44 - x*(-3)/n is divided by 12.
10
Suppose 54*c - 46*c - 1352 = 0. What is the remainder when c is divided by 35?
29
Suppose -2*j = -3*j + 6. Let f(y) be the third derivative of y**5/60 - y**4/6 + 5*y**3/6 + 14*y**2. Calculate the remainder when 33 is divided by f(j).
16
Let b = 11 - 8. Suppose -b*a - 3*o = -144, 0*a - 4*a + 3*o = -213. What is the remainder when a is divided by 9?
6
What is the remainder when 268 is divided by 0 + 1016/34 + (-136)/(-1156)?
28
Let s = -370 + 383. What is the remainder when 7*-1*(0 + -5) is divided by s?
9
Suppose n = -2*p + 476, -2*p + 0*p + n + 476 = 0. What is the remainder when p is divided by 47?
3
Let i be (2/(-6))/(1/(-33)). Let a = 63 + i. Let w = -42 - -61. What is the remainder when a is divided by w?
17
Let k = -555 + 594. What is the remainder when k is divided by 13?
0
Let t = 84 - -1129. Calculate the remainder when t is divided by 81.
79
Let b = 75 + -80. Calculate the remainder when 46 is divided by (-4)/(-20) - ((-29)/b)/(-1).
4
Let n(h) = 4*h**2 + 12*h - 21. Let p(w) = w**2 + w + 1. Let f(z) = n(z) - 3*p(z). What is the remainder when f(6) is divided by 17?
15
Let t = 230 + -136. What is the remainder when t is divided by 17?
9
Suppose 0*v - 2*g = -3*v + 8, 8 = 5*v + 2*g. Let z be (-3)/2*(-22)/33. Suppose 48 = 2*f - 4*y, z = v*y + 11. Calculate the remainder when f is divided by 5.
4
Let z(q) = q**2 + 2. Let r(h) = -26*h**2 + 30*h + 1. What is the remainder when z(4) is divided by r(1)?
3
Let d be ((-24)/(-9))/(6/9). Suppose 4 = -d*x, -2*x - 122 = -2*q + 2*x. What is the remainder when q is divided by 16?
11
Suppose -j + 19 = -0*j. Let n be (-1148)/(-14) - (-1)/(2/6). Let l = 120 - n. What is the remainder when l is divided by j?
16
Suppose 0 = -c - 3 + 5. Suppose 5*u = 4*z - 598, c*u - u + 590 = 4*z. Suppose 2*o = -o + z. What is the remainder when o is divided by 10?
9
Let s = -377 + 524. Calculate the remainder when s is divided by 55.
37
Let s(y) = 8*y**2 - 40*y - 11. Let t = 45 - 32. Calculate the remainder when s(7) is divided by t.
10
Let l = 700 - 653. Suppose b + 416 = 3*x, -4*x + 10*b + 540 = 5*b. What is the remainder when x is divided by l?
46
Suppose -163 - 123 = -2*f. What is the remainder when f is divided by 26?
13
Let f(b) = -b**3 + 7*b**2 + 8*b + 10. Let u be f(8). Suppose -g = 4*k - 2 - 3, -2*g - k = -u. Calculate the remainder when g is divided by 4.
1
Suppose 4*f = 5*d - 90, 0*f = -d - 3*f + 18. Suppose 3*s - 2*s - t - 46 = 0, 2*s - 101 = -t. What is the remainder when s is divided by d?
13
Let g(r) = -r**3 + 10*r**2 + 5*r + 102. Calculate the remainder when g(11) is divided by 32.
4
Let n = 5385 + -5345. Suppose -c + 596 = 3*z + c, 5*c = -2*z + 412. What is the remainder when z is divided by n?
36
Let u = -930 + 1243. Calculate the remainder when u is divided by 7.
5
Let m be (1/(5 + -4))/(1/3). Suppose -3*o + 8 = 2*d, m*o - 6*o = 5*d + 7. Calculate the remainder when o is divided by 5.
1
Let s = 1016 + -882. Calculate the remainder when s is divided by 35.
29
Let l = -615 - -696. Calculate the remainder when l is divided by 33.
15
Suppose -15 = -u - 4*u. Suppose 2*a + 3 = u*a. What is the remainder when 3 is divided by a?
0
Suppose -3*r - l = -20, -2*r + 0*l + 8 = -2*l. Let n(d) = d**3 - 7*d**2 + 7*d - 4. Calculate the remainder when -2 + 11 + 60/(-10) is divided by n(r).
1
Let q(x) = -x**3 + 3*x**2 + 5*x + 6. Let r be q(-3). Suppose -u + 69 = -r. Calculate the remainder when u is divided by 23.
22
Let p = -888 - -1336. Calculate the remainder when p is divided by 153.
142
Let l(j) = 4*j + 74. What is the remainder when 174 is divided by l(-5)?
12
Let h be 2/3 - 69/9. What is the remainder when 606/9 - h/(-21) is divided by 23?
21
Suppose 4*o + v - 2*v = 69, 2*o = -3*v + 1