
15
Let i(m) = -257*m**3 + m**2 - 2*m - 2. Let v be i(-1). Let k = v - 116. Calculate the remainder when k is divided by 18.
16
What is the remainder when 1204 is divided by (-21 - 1028/(-20))/(2/5)?
64
Suppose 4*q = 3*y + 28, -300*q - y - 35 = -305*q. Calculate the remainder when (5/2 + 2)*2 is divided by q.
2
Suppose 5*v = -21*x + 26*x - 35, -5*x = 5*v - 5. What is the remainder when 140 is divided by x?
0
What is the remainder when 677 is divided by 70/(-17) - -4 - 11740/(-85)?
125
Suppose -2*t + 292 = 2*t. Calculate the remainder when t is divided by 1/8 + (1050/(-8))/(222/(-37)).
7
Let q(f) = -f**3 + 7*f**2. Let s be q(7). Suppose -a + 5*c = -4, -3*a - c - 20 = -s*a. What is the remainder when 24 is divided by a/15 + (-47)/(-5)?
6
Let u(r) = -r**3 - 2*r**2 + 7*r + 60. Let f be u(-6). Suppose -f*p - 2270 = -172*p. Calculate the remainder when p is divided by 78.
71
Suppose -349 = -2*f - 2*h + 123, 0 = f + 5*h - 236. What is the remainder when 1905 is divided by f?
17
Let h(d) = 1127*d**2 - 61*d - 60. What is the remainder when h(-1) is divided by 113?
111
Suppose 234*l - 147*l - 13833 = 0. Calculate the remainder when 288 is divided by l.
129
Let p = 30341 - 26090. What is the remainder when p is divided by 38?
33
Let n(d) = d**2 - 8*d + 4. Let h be n(0). Suppose -12 = -o + 2*v, -2*o + h + 21 = -3*v. Calculate the remainder when 47 is divided by o.
5
Calculate the remainder when 4302 is divided by (-1490)/(-745) + (-856)/(-1).
12
What is the remainder when 2/(6/3237) + (-696)/87 is divided by 16?
15
Calculate the remainder when -16 - (-51660)/65 - (-3)/13 is divided by 119.
65
Suppose 6*j = 30, 18*t - 14*t + j - 4437 = 0. What is the remainder when t is divided by 37?
35
Let a(g) be the third derivative of g**5/60 + 5*g**4/24 - 23*g**3/3 + 78*g**2. Calculate the remainder when 182 is divided by a(7).
30
Suppose -2*l + n = -1220 - 4422, -5*l - 2*n + 14078 = 0. What is the remainder when l is divided by 15?
13
Suppose 16 = -g + 92. Let a(p) = 27*p**2 - 49*p + 48. Calculate the remainder when g is divided by a(1).
24
Suppose -23*k + 21*k = 2. Calculate the remainder when 159 is divided by 18/(-42) - (k - 220/7).
31
Let z(a) = -6*a + 762. What is the remainder when 1561 is divided by z(-3)?
1
Suppose -2*c = -3 + 5. Let r(y) = 5*y**3 + 10*y**2 - 14*y + 3. Let j be r(1). What is the remainder when (-3 - (-21 - c)) + j is divided by 14?
7
Suppose 0 = -5*v + 17 - 2. Suppose v*f - 5*p = 47, 6*f + 5*p - 97 = 3*f. Suppose -3*q + 99 = f. Calculate the remainder when q is divided by 9.
7
Suppose 2*h - 235 + 137 = i, 3*h - 147 = -4*i. Calculate the remainder when 86 is divided by h.
37
Suppose 31 = 4*o - b, 0 = -o + 4*b - 2*b + 6. Let m(v) = -4*v + 73. Let y be m(18). What is the remainder when -4*(-3)/(-6) - (-23)/y is divided by o?
5
Let p = -7 - -24. Let j = -11167 - -11199. What is the remainder when j is divided by p?
15
Let w(k) = 3*k**2 + 6*k - 1. Let g = -109 - -170. Let h = -66 + g. Calculate the remainder when 174 is divided by w(h).
42
Suppose -1156*v + 34689 + 276275 = 0. Suppose -122 = -4*z - m, 4*z = m + m + 116. What is the remainder when v is divided by z?
29
Suppose -8 = -4*f, -5*f - 587 - 563 = -4*j. What is the remainder when j is divided by 67?
22
Calculate the remainder when (13926/9)/((-6)/(-9)) is divided by 23.
21
Suppose -79*t + 3*b - 493 = -80*t, 3*t + 6*b = 1473. What is the remainder when t is divided by 160?
7
Suppose 0 = 16*d + 734 - 9182. What is the remainder when d is divided by 524?
4
Suppose -113*r + 790 = 45*r - 2686. Suppose 9 = -3*k - 6. Calculate the remainder when r is divided by 1/(-1)*(-1 + k).
4
Suppose -44*g + 713 = 53. What is the remainder when 339 is divided by g?
9
Let o be (0 + -2 + -343)*(-6)/(-15). Let h = o + 211. Calculate the remainder when 364 is divided by h.
72
Let a(z) = -z + 1. Let j be a(8). Let o(q) = q + 38 - 20 + 11. Calculate the remainder when 152 is divided by o(j).
20
Let s(l) = 137*l - 3. Calculate the remainder when s(1) is divided by (-9)/((-216)/16) + (-844)/(-12).
63
Let r = 194 + 30. What is the remainder when 7391 is divided by r?
223
Suppose -4*m = -3*m. Suppose 0 = -2*s - m*s + 36. Let b(t) = -65*t - 965. Calculate the remainder when s is divided by b(-15).
8
Let p = -320 - -563. Suppose 5*a - 2*t + 5*t = p, -a = t - 47. Suppose -m + 13 + a = 0. Calculate the remainder when m is divided by 13.
12
Let y(q) = -2*q**3 + 12*q**2 + 19*q + 1. Let k = -83 + 91. Let f be y(k). Let z = -85 - f. Calculate the remainder when 125 is divided by z.
17
Let h(i) = 101*i. Suppose -68*m + 168 = -96*m. What is the remainder when h(1) is divided by m/(-16) - 13566/(-816)?
16
Let y(i) = 3*i**2 - 5*i - 12. Suppose 0 = 5*p + 1 + 14. Let o = -32 + 149. What is the remainder when o is divided by y(p)?
27
Suppose 2*x + 49 = 5*c, -x - 41 = -61*c + 57*c. Calculate the remainder when 3111 is divided by c.
9
Let o(j) = -5*j - 31. Let m be o(-20). Let f = 82 - m. Calculate the remainder when 37 is divided by f.
11
Suppose 2*c + 14*c - 41145 = 3*c. Calculate the remainder when c is divided by 167.
159
Suppose -109*h + 35 = -u - 103*h, -4*h = 2*u - 42. What is the remainder when 1 + (-80)/(-2) + -1 is divided by u?
5
Let k(o) = -13 - 7 - 12*o - 21 + 30. What is the remainder when 122 is divided by k(-3)?
22
Suppose 2*k - 12 = -3*q, -5*k + 5 = -3*q - 4. Suppose -2*v + 4*i - 320 = -6*v, -5*i - 125 = -q*v. What is the remainder when v is divided by 13?
10
Let p = -318 - -267. Calculate the remainder when ((-323)/p)/((-1)/(-6)) is divided by (-5 + 1 - -2) + 7.
3
Let z(h) = h**3 - 8*h**2 + 14*h. Let i be z(6). Suppose 0 = -5*m + i*m - 14. Calculate the remainder when 143 is divided by m/((-4)/(-82)) - 4.
32
What is the remainder when ((-1)/(-3))/((-4)/(-3)) - (-262)/8 is divided by 19?
14
Let z = 9 + -4. Let u be (-11)/z + (-1)/(-5) + 2. Suppose u = 4*a - 74 + 18. Calculate the remainder when a is divided by 5.
4
Let a = -25 - -313. Let z = a - 163. Calculate the remainder when z is divided by 36.
17
Suppose 33*t + 5487 = 51*t + 41*t. What is the remainder when 121 is divided by t?
28
Suppose -502*g = -498*g - 84. Let m(u) = 166*u**2 + 32*u - 31. Calculate the remainder when m(1) is divided by g.
20
What is the remainder when 277 + 12/(114/(-19)) is divided by 271?
4
Suppose 5*s - 425 = -4*a, 939*a + 4*s = 942*a - 311. What is the remainder when 225 is divided by a?
15
Suppose 74 = -17*n + 19*n. Calculate the remainder when (88/(-6))/(-11) + (-986)/(-3) is divided by n.
34
Let k(q) = -q**3 - 6*q**2 - 9*q - 3. Let t = -120 + 176. Calculate the remainder when k(-7) is divided by t.
53
Let p(v) = -v + 2. Let f be p(4). Let l be f/8 + (-377)/(-52). Suppose 0 = l*d - 82 - 135. Calculate the remainder when d is divided by 10.
1
Suppose 2*c + 32 = -58*f + 61*f, 4*f = -2*c + 52. Let k(i) = 9*i**2 + 2*i + 53. What is the remainder when k(-4) is divided by f?
9
Suppose 164*a + 328 = 168*a. Suppose 22 = 84*x - a*x. What is the remainder when 83 is divided by x?
6
Let v(q) = q + 1. Let u be v(7). Suppose -773 = -u*p - 93. Calculate the remainder when p/4 + (-15)/(-20) is divided by 12.
10
Suppose 5*a = 29*r - 26*r - 2628, r + a - 884 = 0. Calculate the remainder when r is divided by 26.
23
Let b(a) = a**3 + 7*a**2 - 29*a + 25. Let u = 834 + -844. What is the remainder when 38 is divided by b(u)?
8
Suppose -4*h + 280 = 80. Suppose -o - k = -12, 5*o - 10*o + 6*k + 49 = 0. What is the remainder when h is divided by o?
6
Let d = 65 + -74. Let s = 59 + d. Let f = 35 - 17. Calculate the remainder when s is divided by f.
14
Suppose 1850 = 5*a - 0*a. Suppose -8*m + 5*z = -3*m - 330, -5*m - 3*z = -a. Calculate the remainder when m is divided by 15.
11
Calculate the remainder when 224 is divided by (-8)/(-144)*8*(-108)/(-8).
2
Let p(o) = -2*o**3 - 124*o**2 + 116*o - 604. Suppose -1 = -0*t - t - 5*f, -3*f - 9 = 0. Calculate the remainder when p(-63) is divided by t.
10
Let b = -10 + 2. Let s = b - -18. What is the remainder when (21150/(-750))/(3/(-5) + 0) is divided by s?
7
Let d(o) = 8*o - 9. Let r = -5160 - -5178. What is the remainder when d(5) is divided by r?
13
Suppose 3*g = g + 2*c - 4, -g = -4*c + 11. What is the remainder when -3 - (g + -3 - 189) is divided by 21?
20
Let o be (-2)/(2/(10 + 2)). Let q(n) = -135*n - 136*n + 2