der when (-10)/140 - (-792)/112 is divided by c.
3
Let y = 13 + -13. Suppose 4*b - 1 - 35 = y. Suppose b*k - 64 = 5*k. Calculate the remainder when 45 is divided by k.
13
Let c = -1874 - -1884. Calculate the remainder when ((-38)/3)/(2/(-6)) is divided by c.
8
Suppose -5*u + 5*v = -50 + 55, 2*v - 9 = -5*u. What is the remainder when 1 is divided by u?
0
Let p = 97 + 82. What is the remainder when p is divided by 10?
9
Let u = -12 + 24. Suppose -53*k = -81*k + 1624. Calculate the remainder when k is divided by u.
10
Let h(p) = p**3 - 14*p**2 + 2*p - 14. Let c = -9 + 23. Calculate the remainder when 55 is divided by h(c).
13
Suppose 3*k + 116 = 2*u, -9*u + 140 = -6*u + 4*k. What is the remainder when 362 is divided by u?
50
Suppose 0 = 2*h + 3 + 25. Let l be (-64)/h + 9/21. Let a(d) = 12*d + 2. What is the remainder when a(l) is divided by 16?
14
Let y be (-114)/(-4) + (-5)/10. Let f = 52 - y. Calculate the remainder when 46 is divided by (f/(-10))/((-3)/15).
10
Suppose 4*w = 81 + 151. Let h = w - 13. Let i = -24 + h. What is the remainder when 82 is divided by i?
19
Let c(o) = 2*o**2 + 16*o + 67. Calculate the remainder when c(-10) is divided by 27.
26
Let v = 21 - -4. Let c = -33 + v. Calculate the remainder when 42 is divided by (-1)/1 - -4 - c.
9
Suppose -3*k + 2*f - 451 = -88, 480 = -4*k + 4*f. Let v = k + 154. Calculate the remainder when 90 is divided by v.
28
Let k = 126 - 69. Suppose -4*h + 0*m + m = -k, -3 = -h + 4*m. What is the remainder when (-28)/7*(-1425)/100 is divided by h?
12
Suppose 5*f + 9 - 144 = 0. Let i = 34 + -29. Suppose 140 = i*j - 125. What is the remainder when j is divided by f?
26
Suppose 0 = -2*q - 3*q + 40. Suppose -539 = -q*p + p. Calculate the remainder when p is divided by 20.
17
Suppose -5*r = 958 - 4208. Calculate the remainder when r/35 - (-6)/14 is divided by 10.
9
Suppose -3*w = -0*w + 4*x + 13, w - 2*x = -11. Let z(l) = l**3 + 6*l**2 - 6*l - 2. Let d be z(w). Calculate the remainder when (3/d)/(2/(-66)) is divided by 6.
5
Suppose 0 = -5*a - 20, 6*a - a = -3*m + 61. Suppose 3*y = -m + 270. What is the remainder when y is divided by 42?
39
Suppose -4*n + 156 = -232. Calculate the remainder when n is divided by 9*((-23)/(-3) - 4).
31
Suppose 3*c = -c + 56. Let f(b) = -b - 4. Let r be f(-3). What is the remainder when 3 + r + 2 + 21 is divided by c?
11
Suppose 0 = -9*j + 13*j - 108. Let p = -165 - -274. Suppose 4*y + 4*g = 160 + 40, -p = -2*y + g. Calculate the remainder when y is divided by j.
26
Suppose -u - 4*k = -47, -3*k - k = -4*u + 148. Calculate the remainder when 64 is divided by u.
25
Let y = 117 - 144. What is the remainder when 72 is divided by (-1)/(-3) + (-504)/y?
15
Suppose -3*s - 3*p = -2688, -84*s + 89*s - p = 4480. Calculate the remainder when s is divided by 23.
22
Let v = 608 + -1982. Calculate the remainder when 27/45 - (-2)/((-20)/v) is divided by 47.
44
Let p(g) = g**3 + 41*g**2 + 235*g - 1. What is the remainder when (-350)/(-6) - 2/6 is divided by p(-7)?
18
Let z(m) = 2*m**3 - 2*m**2 - 2*m + 4. What is the remainder when z(3) is divided by (-10)/2 + 11 - 1?
4
Suppose 1 = 3*o - 2*o - g, -5*g + 20 = 0. Let a = -8 + o. What is the remainder when a/6 + (-26)/(-4) is divided by 4?
2
Let p = -8048 - -8059. Let q(o) = 6*o**2 - 3*o - 2. Calculate the remainder when q(-2) is divided by p.
6
Suppose -2*b = 1 - 5. Suppose 0 = 5*k + k. Suppose k = -4*o - b*u + 58, -3*o = 2*o - 2*u - 86. What is the remainder when 63 is divided by o?
15
Suppose 3*v - 146 = v. Let p = 108 - v. Calculate the remainder when p is divided by 19.
16
Let y be 1 + (6/(-9))/2*-3. Calculate the remainder when 116 is divided by (-106)/(-8) - 1/(2 + y).
12
What is the remainder when ((-30)/(-27)*-3)/(54/(-25191)) is divided by 19?
16
Suppose -2*i - 4*f + 49 - 1 = 0, -3*i = 2*f - 72. Suppose 2*o + 65 = 7*o. Calculate the remainder when i is divided by o.
11
Suppose 0 = -3*l + 164 - 62. What is the remainder when 166 is divided by l?
30
Suppose 4*y - 6 + 42 = 0. What is the remainder when 1 + 0 - (y + -11) is divided by 8?
5
Let n = -40 + 34. Calculate the remainder when 25 is divided by -7 + (-42)/n - (-7 - 0).
4
Let a = -590 + 615. Calculate the remainder when 92 is divided by a.
17
Let s(h) = -2 + 32*h + 1 + 47*h + 0. Let g be s(1). Suppose -y + 0*y = -g. What is the remainder when y is divided by 27?
24
Let f = 69 + -36. Suppose 12 = -4*r, 3*m - f = r - 4*r. Let l = m - 3. What is the remainder when l is divided by 6?
5
Let z(q) = 3*q**2 + q + 1. Let k be 1/3 - (-130)/(-39). What is the remainder when z(k) is divided by 13?
12
Calculate the remainder when 7/((-120)/64 - -2) is divided by 13.
4
Let p(g) = -90*g - 2. Let k(v) = v. Let a(t) = 3*k(t) - p(t). Calculate the remainder when a(1) is divided by 32.
31
Suppose -4*t = -16, -4*n + 16 = -3*t - 0*t. Let o(d) = d**3 - 6*d**2 - 6*d + 1. Calculate the remainder when 31 is divided by o(n).
7
Suppose 0 = -4*o - 5*i + 24, 4*o - 9*i + 4*i + 16 = 0. Let s(z) = -z**3 - 2*z**2 - 2*z - 1. What is the remainder when s(-2) is divided by o?
0
Suppose 198*j = 195*j + 60. Suppose 2*o - j = o + 2*k, 0 = 3*o + 2*k - 60. Calculate the remainder when o is divided by 7.
6
Let k(h) = h**2 + 6*h - 3. Let j be k(-6). Let r = j - -21. What is the remainder when 70 is divided by r?
16
Suppose -1083*v + 1095*v = 144. Suppose 18 = c - 3. What is the remainder when 626/14 - (-6)/c is divided by v?
9
Let k(a) = a**2 + a + 3. Let b be k(-3). Let y = 107 - 105. What is the remainder when 38 is divided by 39/y*6/b?
12
Let w(u) = -u**2 + 17*u + 54. Let s be w(19). Suppose 0 = -3*a - a + s. Suppose -10 + 70 = 5*o. Calculate the remainder when o is divided by a.
0
Let b(v) = v**3 - 12*v**2 + 12*v - 11. Let d be b(11). Let w(u) = -u**2 + 40. What is the remainder when w(d) is divided by 11?
7
Suppose 9*d - 3*d = 126. Calculate the remainder when 138 is divided by (d/12)/((-8)/(-128)).
26
Let s be -4*12/(-16) - -9. Suppose s = 2*x - 8. Let r(w) = 18*w**2 - w + 1. Calculate the remainder when r(1) is divided by x.
8
Suppose -29*w + 1255 = -3356. What is the remainder when w is divided by 40?
39
Suppose -2*w + 208 - 200 = 0. What is the remainder when 28 is divided by w?
0
Calculate the remainder when (2403/81)/(-1*2/(-6)) is divided by 23.
20
Suppose -5*r = -4*h + 57, -3*h = -h + r - 11. Suppose 3*x = h*x - 650. Let l = x - 67. What is the remainder when l is divided by 16?
15
Let o = 116 + -88. What is the remainder when 164 is divided by o?
24
Let y(d) = -37*d - 3. Let q be y(-2). Suppose -3*w + 12 = o, o + q = 6*o + 4*w. Calculate the remainder when 16 is divided by (10/6)/(5/o).
1
Let v = 196 + -185. Let p = 32 + -4. What is the remainder when p is divided by v?
6
Let s(r) = -2*r + 5. Suppose 0 = -y - 0*y - 4*w + 6, 5*w = 5*y - 55. What is the remainder when s(-7) is divided by y?
9
Suppose 3*v = 3 + 30. What is the remainder when v is divided by 7?
4
Let l be (-902)/(-2) + 6/2. Suppose 5*r - l = 341. Suppose q - 4 = 0, 2*t + 3*t + q - r = 0. What is the remainder when t is divided by 8?
7
Let h(q) be the first derivative of -q**3/3 + 7*q**2/2 + 2*q + 62. Let v = 9 + -3. What is the remainder when 29 is divided by h(v)?
5
Let g(m) = -m**3 + 10*m**2 + 14*m - 5. What is the remainder when g(8) is divided by 79?
77
Let z(q) = -96*q**2 + 9 - 24*q + q**3 + 47*q**2 + 58*q**2. Calculate the remainder when 110 is divided by z(-11).
17
Let s(c) = -12 + 15*c - c**2 + 2*c**2 - c - 7. What is the remainder when 64 is divided by s(-16)?
12
Let x = -30 + 76. Suppose 44 = 2*j + 3*p, -2 + x = 3*j - p. Calculate the remainder when j is divided by 9.
7
Let f(l) = 3*l**2 + 4 - 2*l - 2*l**2 + l. Let o be f(0). Suppose -o*g + 4*h + 95 = -13, -16 = 4*h. Calculate the remainder when g is divided by 5.
3
Suppose -8*v + 17*v - 441 = 0. Calculate the remainder when v is divided by 27.
22
Let y = -180 + 222. Calculate the remainder when y is divided by 2.
0
Let g = 1840 - 1711. What is the remainder when 402 is divided by g?
15
Suppose 6*s - 11*s = -3*i + 77, -i - 5*s + 19 = 0. What is the remainder when 443 is divided by i?
11
Suppose 4*f - 71 = 873. Suppose 5*v = f - 71. Suppose -6*d + v = -9. What is the remainder when d is divided by 2?
1
Suppose -7374 = -6*j - 444. What is the remainder when j is divided by 68?
67
Let m(c)