d by x?
9
Suppose 2*q + 6 = -0*s - 4*s, 2*q + 5*s + 9 = 0. Suppose -q*u = 2*u - 55. Calculate the remainder when u is divided by 3.
2
Let k be 2/4 - (-30)/20. Suppose -36 - 116 = -k*y + 4*t, 0 = -y - 3*t + 66. What is the remainder when y is divided by 15?
12
Let k(v) = -35*v - 215. What is the remainder when 449 is divided by k(-7)?
29
Suppose 0 = 50*i - 47*i - 39. Calculate the remainder when 154 is divided by i.
11
Suppose -17 = -4*c + w + 108, -2*c + 79 = 5*w. Suppose -5*n - 3*h + 28 = -581, -2*n = 5*h - 236. Calculate the remainder when n is divided by c.
27
Suppose -20 = 4*p, -2*f + 173 = 2*f - p. Let j = -956 - -965. What is the remainder when f is divided by j?
6
Suppose -61*n - 1507 = -72*n. Calculate the remainder when n is divided by 10.
7
Let f be 403/9 - 3 - 6/(-27). Suppose -m - 3 = -5*j, 2*m + 0*m - f = -2*j. Calculate the remainder when 82 is divided by m.
14
Suppose -2*x + 6 = -w, 13 = -4*w - 0*x - 3*x. Let q(r) = -5*r - 5. Let z be q(w). Suppose z = 6*a - 3*a. What is the remainder when 19 is divided by a?
4
Suppose 3 = -3*x - 6*j + 3*j, 4*j = 5*x - 4. Let z(h) = -h**2 - h - 2. Let v be z(x). Calculate the remainder when 27 is divided by (-20)/(-15)*(-15)/v.
7
Suppose -4*x + 0*x = -80. Let h be ((-45)/(-45))/(1/(8/2)). What is the remainder when -4 - (-1)/((-163)/41 + h) is divided by x?
17
Let g(o) = -20*o**3 + o**2 - 3*o - 4. Calculate the remainder when 32 is divided by g(-1).
12
Suppose 75 = -0*w + 3*w. What is the remainder when w is divided by 7?
4
Let i = -558 - -789. Let v = 332 - i. What is the remainder when v is divided by 26?
23
Let b(d) = -d**2 + 15*d - 15. What is the remainder when b(10) is divided by (12/(-18))/((-3)/54)?
11
Suppose 6*r + 416 = 2*j + 2*r, -5*j + 1004 = 2*r. Calculate the remainder when j is divided by 104.
98
Let w(l) = -l**3 - 10*l**2 - l - 10. Let f be w(-10). Suppose 6*r + 2*j - 56 = r, f = -3*r + 2*j + 40. What is the remainder when 46 is divided by r?
10
Let t(p) = p**3 - 5*p**2 + 12*p - 26. Let o = 21 + -9. What is the remainder when t(6) is divided by o?
10
Let n be (2/(-4))/(2/(-20)). Suppose -5*z + 1 = n*t + 11, -10 = 2*z. Suppose -2*d = -t*d - 4*l + 3, 3*d = l + 61. What is the remainder when 74 is divided by d?
17
Suppose -2*u + 9 = 3, 0 = -q + 2*u + 18. Calculate the remainder when 13 is divided by 24/(-10)*(-80)/q.
5
Let b(j) = j**3 - 6*j**2 - 6*j - 1. Let i be b(7). Let f = i - 2. What is the remainder when 36 is divided by ((3 - f) + -18)*-1?
17
Let x(m) = m**2 - 8*m + 7. Let z be x(11). Let l = -12 + 16. Calculate the remainder when z/(-70) - 106/(-14) is divided by l.
3
Let s(f) = 9*f + 42. Calculate the remainder when s(3) is divided by 24.
21
Let t(d) = -d**3 - 2*d**2 + 7*d + 2. Let m(p) = 7*p + 10. Let l be m(-2). Calculate the remainder when 21 is divided by t(l).
3
Suppose -2*a - 3*a + 75 = 5*r, 4 = 2*r. Calculate the remainder when 141 is divided by a.
11
What is the remainder when 297 is divided by (-302)/(-12) + 48/(-288)?
22
Suppose 160 = 5*l - 2*n, -n + 4*n = -2*l + 45. What is the remainder when l is divided by 17?
13
Suppose -302 = -5*d + 178. Calculate the remainder when ((-9)/(-4))/(4/d) is divided by (-79 + 77)*(-38)/4.
16
Let s be -113 + 0/(15/(-3)). Let x = s + 162. Calculate the remainder when 194 is divided by x.
47
Suppose -14 - 36 = -5*n. Calculate the remainder when (192/5 - 1) + 800/500 is divided by n.
9
Suppose p = 2*d - 390, -3*d - 42 = -p - 626. Suppose -4*t + d = 66. Let o = -22 - -39. What is the remainder when t is divided by o?
15
Let a(w) = 12*w**3 + 3*w**2 + 2*w - 13. What is the remainder when a(2) is divided by 29?
12
Let y be (-8 + 189/18)*12/10. Suppose -2*x - 2*u + 30 = 0, x + 31 = 2*x - y*u. What is the remainder when x is divided by 12?
7
Suppose -61 = 3*g - 19. Let t be -28*(24/(-21) + 2). Let u = g - t. What is the remainder when u is divided by 4?
2
Suppose 0 = 3*c - 6, 0 = s - 2*c - 0*c + 84. Let t = 56 - s. Suppose 0 = 5*a - 2*x - t, x - 87 = -4*a + 14. What is the remainder when a is divided by 9?
8
Let n = 15 + -21. Let x be n/14 - 246/14. Calculate the remainder when 53 is divided by 27*-2*3/x.
8
Let m(k) = -127*k + 575. What is the remainder when 194 is divided by m(4)?
60
Let c(r) = 10*r + 26. Let h be c(-5). What is the remainder when -15*(10/h)/((-8)/(-32)) is divided by 13?
12
Let m = 21 - 1. What is the remainder when 60/(-8)*m/(-15) is divided by 9?
1
Suppose 5*c - 9 = 3*m, c = -0*m - 5*m + 13. Suppose 2*v - 9 = v + c*y, -5*y = -5*v + 95. Suppose -v = -2*q - 2. Calculate the remainder when q is divided by 4.
3
Let x be ((-18)/(-15))/((-4)/(-30)). Suppose 36 = -x*r + 135. Calculate the remainder when 53 is divided by r.
9
Suppose 4*b - 4*j - 48 = 0, 6*j - 5*j + 60 = 5*b. Calculate the remainder when 346 is divided by b.
10
Suppose -29*k + 150 = -24*k. Calculate the remainder when 1197/(-7)*1/(-3) is divided by k.
27
Suppose -82 = 3*y + y + 3*o, -8 = -4*o. Let s = y - -106. Suppose 4*l = 0, 0 = -5*p + 3*p + 5*l + s. What is the remainder when p is divided by 11?
9
Let h(g) be the third derivative of 5*g**2 + 0*g + 1/24*g**4 + 0 + 0*g**3. Calculate the remainder when 23 is divided by h(5).
3
Let p = 57 + -96. Calculate the remainder when 155 is divided by 505/13 - 6/p.
38
Suppose 0 = -2*l - 4*u + 60, 4*l + 63 = 7*l - 3*u. Calculate the remainder when l is divided by 23.
1
Suppose -m - 9 = -2*m. Let k = 93 - 82. Let h = k - -6. Calculate the remainder when h is divided by m.
8
Suppose 5*m = 2*y - y + 7, 4*m = 4*y - 4. What is the remainder when ((-15)/(-6) + m)*2 is divided by 3?
0
Let x = 3 + 362. What is the remainder when x is divided by 61?
60
What is the remainder when 324 + 80/24*(-3)/(-2) is divided by 44?
21
Let o be ((-2 - -2) + (-1)/(-1))*0. Suppose g - 132 - 159 = -3*u, o = -2*u - 4*g + 204. What is the remainder when u is divided by 14?
12
Suppose -4*i + 5*o + 103 = 0, 99 - 8 = 4*i - o. Let f = 83 + i. Calculate the remainder when f is divided by 36.
33
Suppose 10*y - 8*y - 29 = 3*r, r + 53 = 4*y. Let u = -40 + 115. What is the remainder when u is divided by y?
10
Let l = -37 - -31. Let o(j) = j**2 + 8*j + 18. What is the remainder when 17 is divided by o(l)?
5
Let w = 528 + -521. Let y(t) be the third derivative of -t**6/120 + t**5/6 - t**4/2 + 5*t**3/2 + t**2. Calculate the remainder when y(w) is divided by 20.
18
Let n = -39 + 69. Let k(l) = l**3 + 13*l**2 + 20*l - 5. Suppose 2*i = 4*z + 34, 4*z + 43 = i + 4. What is the remainder when n is divided by k(z)?
13
Let p(r) = -24*r - 1. Let y be (72/16)/((-2)/(-8) - 1). What is the remainder when p(y) is divided by 18?
17
Suppose 0 = -14*y - 76 + 1602. Calculate the remainder when 1741 is divided by y.
106
Suppose 0 = 33*n + 55*n - 34320. What is the remainder when n is divided by 56?
54
Suppose 4*a - 112 = -0*a. Suppose 2*x - 12 = -5*k + x, k = -x + 4. Suppose -a = k*q - 4*q. What is the remainder when 26 is divided by q?
12
Let v = -36 + 51. What is the remainder when 6/(-33) + (-288)/(-11) is divided by v?
11
Suppose 0 = -94*d - 35*d + 13932. Calculate the remainder when d is divided by 14.
10
Let r(q) = -q**3 + 13*q**2 + q + 7. What is the remainder when r(11) is divided by 29?
28
Let f(y) = -y + 9. Let c be f(6). Suppose s + c*l = -l + 2568, -4*l = -2*s + 5172. Calculate the remainder when s/54 - (-2)/9 is divided by 25.
23
Let p(u) = 9*u. Let l be p(3). Suppose -5*k + 113 = -l. What is the remainder when (-446)/(-4) - 1/2 is divided by k?
27
Let l = -236 + 289. What is the remainder when l is divided by 18?
17
Suppose 2*b - 16 + 6 = 0. Let i = 58 - -14. Suppose t - i = -4*v, -v + 1 = -0*t - 4*t. Calculate the remainder when v is divided by b.
2
Let c(f) be the second derivative of f**4/12 - 5*f**3/3 - 5*f**2 + 25*f. What is the remainder when c(-3) is divided by 12?
5
Suppose 0 = -3*w - x - 0*x + 46, -4*w + 3*x + 70 = 0. Let d(h) = -h**3 + 15*h**2 + 18*h - 23. What is the remainder when d(w) is divided by 3?
0
Let z be 6/27 - (-102)/27. Suppose -48 = 4*i - 2*i - 3*m, 5*m = z*i + 94. What is the remainder when 9 is divided by (-5)/20 + i/(-4)?
4
Suppose -4*x - 10*m + 324 = -14*m, 0 = 2*x + 3*m - 137. Calculate the remainder when x is divided by (-10)/8*(-8 - 8).
16
Suppose 609 = 5*t + 4*w, -2*t + 36 + 207 = w. What is the remainder when t is divided by 37?
