is the remainder when v is divided by k?
19
Suppose 2*q - 4*o = 5*q - 34, 2*q - 3*o - 17 = 0. Let b(l) = -l**2 + 26*l + 38. Let u be b(27). Let i = 48 - u. Calculate the remainder when i is divided by q.
7
Let d = -252 - -265. Calculate the remainder when 34 is divided by d.
8
Suppose r - 5 + 7 = 5*t, 5*r - 100 = 3*t. Calculate the remainder when r is divided by 11.
1
Let h be (-396)/(-39) - (-2)/(-13). Calculate the remainder when 5/(h/4) + (-11 - -106) is divided by 33.
31
Suppose -a - 5*v - 35 = 0, -a + v - 2*v = 15. Let r be (-1)/1 - (a - 5). Let g = r + 10. Calculate the remainder when 95 is divided by g.
23
Let k(y) = 7*y + 65. Let u be k(-9). What is the remainder when 18 is divided by (12 - u) + -9 + 6?
4
Let h(q) = q**3 + 8*q**2 + 11*q - 1. Let o be h(-6). Suppose 4*i + 803 = 5*c, o*c + 3*i = c + 630. What is the remainder when c is divided by 27?
24
Suppose -422 = -l + 5*u, 4*u = -3*l + 671 + 671. What is the remainder when l is divided by 12?
10
Let p(s) = 2*s**3 + 15*s**2 - 14. Calculate the remainder when 57 is divided by p(-7).
22
Suppose 4*r - 21 = 15. Suppose 210 = -5*k - k. Let n = 50 + k. Calculate the remainder when n is divided by r.
6
Let a(f) = -f**2 - 13*f + 8. What is the remainder when (-80)/(-6) + (-16)/(-24) is divided by a(-13)?
6
Suppose -6*t = -3*t + a + 5, 3*a + 15 = 0. Suppose -57 - 65 = -4*c + 2*d, -4*d + 4 = t. What is the remainder when 113 is divided by c?
20
Let u(y) = -y**3 + 10*y**2 - 9*y - 9. Let j be u(9). What is the remainder when j/(-3 - -2)*(-2 + 3) is divided by 2?
1
Suppose -105*k = -110*k + 135. Suppose 2*x = -l + 29, -11 = -4*x - 5*l + 32. Calculate the remainder when k is divided by x.
10
Suppose -6*r + 3*i = -4*r - 101, -121 = -2*r - i. Calculate the remainder when r is divided by 21.
16
Let b(q) = q**2 + 11*q. Let a be b(-11). Suppose -r + 23 + 39 = a. Calculate the remainder when r is divided by 9.
8
Suppose 0*r + 34 = 4*k - 2*r, -44 = -5*k + 3*r. What is the remainder when 141 is divided by 7*3/k*12?
33
Suppose -4*q + 0*q = -12. Let k = 166 - 152. What is the remainder when k is divided by q?
2
Let p(l) = -28*l + 1. Let g = -18830 + 18914. Calculate the remainder when g is divided by p(-1).
26
Let c(w) = w**2 + 8*w - 24. Let z(n) = n**3 - 2*n + 1. Let l be z(1). Let f = 35 + l. Calculate the remainder when f is divided by c(-11).
8
Calculate the remainder when (-4)/(-54)*3*153 is divided by 9.
7
Let h be (-3)/2*(-232)/3. Suppose -p = -5*p + h. Calculate the remainder when 55 is divided by p.
26
Suppose 0*q + o = -2*q - 29, -o - 55 = 4*q. Let k(p) = p**2 - 11*p + 33. Calculate the remainder when 1 - -5 - q/13 is divided by k(5).
1
Let r be (-1 - (-2)/1)*(1 - -4). Suppose -r = -3*c + 61. Calculate the remainder when c is divided by 8.
6
Let y = -2 - -2. Let v(t) = -t**2 + 11. Let k(n) = n**2 - 12. Let m(w) = 5*k(w) + 6*v(w). What is the remainder when m(y) is divided by 3?
0
Suppose m + 1278 = 5*m - k, 0 = 4*k - 8. Let g = 505 - m. What is the remainder when g is divided by 31?
30
Suppose -2 = 14*d + 586. Let x = -37 - d. Calculate the remainder when 22 is divided by x.
2
Let k(s) = -s**3 - 8*s**2 - 8*s - 7. Let n be k(-7). Let w(z) = 17*z - 2. Let p be w(1). Let f = p - n. What is the remainder when f is divided by 8?
7
Let o = 150 - 83. What is the remainder when 197 is divided by o?
63
Suppose -584 = -39*v + 469. What is the remainder when 47 is divided by v?
20
Suppose -9*w = -23*w + 238. Calculate the remainder when 150 is divided by w.
14
Suppose -j + 5 = 0, -3*j = 4*l - 3*l - 56. Calculate the remainder when 468 is divided by l.
17
Suppose 5*z + i = 589, 2 = -2*i - 0. Calculate the remainder when z is divided by 30.
28
Let r(v) = v**2 - 14*v - 77. What is the remainder when 136 is divided by r(19)?
10
Let i = -100 + 223. Let v = -481 + 512. What is the remainder when i is divided by v?
30
Suppose 5*k - 135 = -3*v + 53, k - 306 = -5*v. Calculate the remainder when 304 is divided by v.
60
Let j(f) = -f**2 + 7*f + 36. Let b(g) = 11*g**2 + 2*g + 1. What is the remainder when j(8) is divided by b(-1)?
8
Let m = -38 - 99. Let c be -2 - (2*m)/2. Suppose 4*g - c + 35 = 0. Calculate the remainder when 72 is divided by g.
22
Let h(x) = 2 + 27*x - 16*x - 6*x - 8*x. What is the remainder when 5 is divided by h(0)?
1
Let g(i) = 46*i**3 - 3*i**2 - 2*i + 6. What is the remainder when g(2) is divided by 46?
36
Let v = -4 + 7. Let k(j) = 2*j + 10. Let x be k(-4). Suppose -x*t - v*u + 47 = -t, -3*u - 58 = -2*t. Calculate the remainder when t is divided by 19.
16
Let z = -560 - -850. Calculate the remainder when z is divided by 59.
54
Let i = -26 + 27. Calculate the remainder when (27/i)/(6/6) is divided by ((-2)/2)/(1/(-7)).
6
Suppose 773 - 55 = 2*x + 3*o, 2*x = -5*o + 710. Calculate the remainder when x is divided by 75.
65
Suppose -8*p + 15*p = 126. Suppose -12*f = -p - 78. Let y = -3 + 5. What is the remainder when f is divided by y?
0
Let h = -25 - 14. Let w = h + 66. Calculate the remainder when w is divided by 15.
12
Let h = -20 - -50. Suppose 3*x - h = 4*a, -4*x - 4*a + 40 = -2*x. Calculate the remainder when 50 is divided by x.
8
Let w(d) be the first derivative of -d**3/3 + 11*d**2 - 38*d + 16. What is the remainder when w(11) is divided by 42?
41
Let d(a) = -2*a**2 - 6*a + 16. Let k be d(-6). Let c = 38 + k. What is the remainder when c is divided by 11?
7
Let p(r) = r**2 - 5*r - 2. Let g be p(6). Suppose 3*u - 36 = 5*j - 14, -4*j - g*u - 24 = 0. Calculate the remainder when 9/j*(-10)/2 is divided by 5.
4
Suppose 4*c = 3*c + 3. Suppose c*f = -f. Suppose f*a = 5*a - 55. Calculate the remainder when 41 is divided by a.
8
Suppose 2*h - 4 = a, 5*a = 5*h - 15 - 5. Let b be 59 - (a - 0/(-5)). Suppose j = -2*j + b. What is the remainder when j is divided by 6?
3
Let n = -23 - -16. Let f(h) = -4*h + 13. Suppose -2*z + 5*t = -33, -4*z - 4*t + 52 = -0*t. What is the remainder when f(n) is divided by z?
13
Suppose 5*q = -10 + 30. Suppose -c = -5*i - q - 12, -3*i = -9. What is the remainder when 90 is divided by c?
28
Let i(m) = -2*m**3 - m**2 - 2*m. Let h be i(-2). Let p = h + 211. Suppose -p = -5*f + 118. Calculate the remainder when f is divided by 18.
15
Let h = -28 + 166. Suppose o - 72 = -o - 3*z, -h = -4*o - 3*z. Let s = o - -30. Calculate the remainder when s is divided by 22.
19
Calculate the remainder when ((-186)/8)/((-261)/5916) is divided by 53.
50
Let z(i) = i**2 - 3*i - 5. Let j(m) = m**3 + 9*m**2 + 11*m + 27. What is the remainder when z(5) is divided by j(-8)?
2
Suppose 4*c - 9*c = 15. Let t(l) = -3*l - 29. Let s(m) = -2*m - 15. Let k(p) = c*t(p) + 5*s(p). Calculate the remainder when 7 is divided by k(8).
3
Let d = 5 + -3. Let m = -24 + 31. What is the remainder when m is divided by d?
1
Let b = 221 - 181. What is the remainder when b is divided by 12?
4
Let l(m) = 13*m**2 - m**3 - 11*m - 8*m + 21 + 6*m**2. Let a(n) = n**2 + 6*n + 5. What is the remainder when a(-6) is divided by l(18)?
2
Suppose 54 = 77*f - 74*f. Calculate the remainder when 896 is divided by f.
14
Let o = -8 - -14. Let s be 5/15 - 50/o. Let r = s - -50. What is the remainder when r is divided by 15?
12
Suppose 0 = -294*r + 285*r + 540. What is the remainder when r is divided by 17?
9
Suppose -44*w + 43*w + 62 = 0. Calculate the remainder when 742 is divided by w.
60
Let f = 342 - 318. Calculate the remainder when f is divided by 4.
0
Let n be -3 - (2 + -41 + 3). Let w be (-1)/(88/(-30) + 3). Let u = n + w. What is the remainder when 33 is divided by u?
15
Suppose -259 = -8*q + 109. Let i = q + -43. What is the remainder when (-13)/(-4) + (-2)/8 is divided by i?
0
Let p(w) = 7*w**2 + 8*w - 6. Let i(d) = -8*d**2 - 8*d + 7. Let y(s) = 4*i(s) + 5*p(s). What is the remainder when y(-8) is divided by 32?
30
Let c(d) = 296*d**3 - 2*d**2 + 3*d - 1. Let l be c(1). Suppose -29*j + 25*j = -l. Calculate the remainder when j is divided by 25.
24
Let p = 712 - 395. Calculate the remainder when p is divided by 29.
27
Let f = -1577 + 1624. What is the remainder when 153 is divided by f?
12
Let d be (30*-1)/(-3) + 8/4. Let n = d - 3. What is the remainder when 24 is divided by n?
6
Let f(l) = -2*l - 1. Let v be f(4). Let c = 35 + v. Suppose 40 = 5*g - 5*i, -7*g = -2*g - 2*i - 49. Calculate the remainder when c is divided by g.
4
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