 when a is divided by l(-10)?
1
Let d be 12 + (0/(-4))/3. Let p(m) = m**3 - 11*m**2 - 7*m + 1. Let k be p(d). Suppose 1 - k = -5*z. Calculate the remainder when 33 is divided by z.
9
Suppose 0 = -4*k - 4*j - 8, -2*k - 12 = 4*j - 0*j. Let a be (-15048)/(-45) - k/5. Let y = a + -172. What is the remainder when y is divided by 41?
39
Let w = 270 - 254. Calculate the remainder when 1535 is divided by w.
15
Let h(r) be the second derivative of -r**5/20 + 2*r**4/3 + r**3/2 - r**2/2 - 2*r. Let d be h(8). Let b = d + -8. What is the remainder when 27 is divided by b?
12
Let u be (-5 - 55/(-10))*122*1. Suppose -4*f - 3*x = -90 + 27, 0 = -4*f - x + u. Calculate the remainder when f is divided by 12.
3
Suppose 0*b = -4*b - 16. Let a be 1/(-2) - 22/b. Suppose -1 + 71 = 2*f - 2*m, -f + 43 = -a*m. What is the remainder when 96 is divided by f?
30
Suppose -4*g = -471 + 139. Suppose 0 = -13*i + 16*i - 3. Let y(m) = -m + 15. Calculate the remainder when g is divided by y(i).
13
Suppose 210 - 850 = -20*t. Let f(l) = 22*l - 3. Calculate the remainder when f(3) is divided by t.
31
Let y = -5 - 4. Let x = y + 28. Let h = 51 + -46. What is the remainder when x is divided by h?
4
Let y(n) = 7*n + 18. Let b(m) = 4*m + 9. Let c(w) = -5*b(w) + 3*y(w). Let z be c(-5). Calculate the remainder when 4 + (0 - (-172)/z) is divided by 16.
15
Let b(w) = w**2 - 8*w + 12. Let r be b(8). Suppose s + 4 = 0, r = 5*z + 2*s - 125. What is the remainder when z is divided by 11?
7
Suppose -5*g = 5*d - 3*g + 19, -2*d + 4*g + 2 = 0. Let r be (-2)/d + 2/(-3). Suppose j + 4*j - 215 = r. Calculate the remainder when j is divided by 11.
10
Let c(f) = -2*f**2 + 16*f - 9. Let r be c(6). Suppose -13*x + r*x = 44. Let j = 1 + 3. What is the remainder when x is divided by j?
2
Suppose -87*z + 40 = -82*z. What is the remainder when 30 is divided by z?
6
Let u = 490 - 252. What is the remainder when u is divided by 16?
14
Let o(h) = -2*h - 13. Let i be o(-9). Suppose 7 = -v - i*d, v - 3*v - 2 = -2*d. Calculate the remainder when 1/v - (-756)/8 is divided by 32.
30
Let j = -8 - -4. Let q be 27 + j/4 + -2. Suppose q = 2*a - 62. What is the remainder when a is divided by 15?
13
Suppose 4*x + 0*o - 2*o - 3112 = 0, 0 = x + 2*o - 773. What is the remainder when (-8)/14*x/(-6) is divided by 39?
35
Suppose 0 = 2*c - 6*c - 160. Let v = -11 - c. What is the remainder when v is divided by 8?
5
Calculate the remainder when 3/12 + (-11018)/(-56) is divided by 64.
5
Suppose -38*y = -50*y + 456. Calculate the remainder when y is divided by 12.
2
What is the remainder when 318/(7 + -5)*1 is divided by 37?
11
Suppose 4*i - l - 2*l - 29 = 0, 0 = -4*i - 4*l + 8. Suppose i*b + 0 - 35 = 0. What is the remainder when 32 is divided by b?
4
Let k = 94 - 78. What is the remainder when 63 is divided by k?
15
Suppose 354*t - 388*t + 9554 = 0. What is the remainder when t is divided by 63?
29
Suppose -49 = -3*r - o, 0 = 2*o - 11 + 15. What is the remainder when 237 is divided by r?
16
Suppose 0 = b + 4*b - 525. Suppose 35 + b = -5*p. Let l = p + 61. What is the remainder when l is divided by 17?
16
Suppose -198 = -w + 64. Calculate the remainder when w is divided by 27.
19
Let d(p) = -2*p + 1. Suppose 3*q - 11 = -4*b, 0*b - 4*b = -5*q - 3. Let f be d(q). Calculate the remainder when ((-9)/6)/(f/18) is divided by 7.
6
Let z(v) = -v - 5. Let t be z(-3). What is the remainder when 189 is divided by 108/3*((-30)/(-9) + t)?
45
Let i be -1*(2 + (-21)/3*1). Let k = -12 - -20. Suppose i*o - 2 = k. Calculate the remainder when 7 is divided by o.
1
Suppose 0 = 3*r - x + 64 - 14, -r = -4*x + 2. Let v = r + 60. Calculate the remainder when 83 is divided by v.
41
Suppose j + 3*k - 88 - 496 = 0, 0 = -2*j - 3*k + 1171. Calculate the remainder when j is divided by 42.
41
Let i(t) = 13*t - 6. Let o be i(3). Let g = -28 + o. Calculate the remainder when 7 is divided by g.
2
Let t(l) = 2*l**2 - 3*l. Let q = -2 + 5. Suppose -18 + 100 = 3*d + 4*a, 4*a = -2*d + 48. What is the remainder when d is divided by t(q)?
7
Let f = 534 + -467. What is the remainder when f is divided by 36?
31
Let v(g) = 3*g - 9. Let a be v(14). Suppose 4*j = a + 115. Suppose -91 = -3*f + b, -4*f + 5*f + b - j = 0. What is the remainder when f is divided by 11?
10
Suppose 3*x + 2*x - 15 = 0. Suppose 2*d + x = 21. What is the remainder when d/2*(-2)/(-3) is divided by 1?
0
Let w = 79 + -22. Let z(n) = n**2 + 3*n + 2. Let h be z(-2). Suppose -l + w = -h. What is the remainder when l is divided by 30?
27
Let z(a) = 12*a - 2. Suppose 0 = 7*q - 6*q - 8. What is the remainder when z(q) is divided by 24?
22
Calculate the remainder when 757 - (-4 - 0)/(0 - 2) is divided by 28.
27
Let k(w) = -w**2 + 3*w + 4. Let j be k(4). Suppose j = 2*g - 16 - 12. What is the remainder when 37 is divided by g?
9
Let z(x) = -x**2 - 7*x + 23. What is the remainder when 173 is divided by z(-8)?
8
Let t be 185/17 + (-14)/(-119). Suppose t*b - 14*b = -18. Calculate the remainder when 7 is divided by b.
1
Let m = -1 + 1. Let p = m - -1. What is the remainder when (20/(-25))/(4/(-10)) is divided by p?
0
Let a = 10 - 5. Suppose 7 + 1 = 4*y + 3*z, -2*z = 8. Let c(d) = 3*d - 7. Calculate the remainder when c(y) is divided by a.
3
Suppose -m - 14 = -3*m. Let b(n) = -2*n**3 + 10*n**2 + 65*n - 12. Calculate the remainder when b(-4) is divided by m.
2
Suppose -3*a - 5 = -4*a. Suppose j = -a*k + 15, -5*j - k + 3*k = 33. What is the remainder when 15 is divided by (-2)/j + (-114)/(-15)?
7
Suppose 26*t = -3*t + 2407. Calculate the remainder when t is divided by 17.
15
Let r(m) = 2*m**3 - 8*m**2 + 7*m + 13. What is the remainder when 81 is divided by r(4)?
40
Let p(y) = y**2 + 3*y - 30. Let t = 720 - 486. Suppose -t = -5*g + x, g - 6*x = -x + 42. What is the remainder when g is divided by p(6)?
23
Let q = -97 + 136. Calculate the remainder when q is divided by 12.
3
Let x(h) = -h**2 + 9*h - 5. Let l be x(9). Calculate the remainder when 29/l - -6 - (-1464)/5 is divided by 49.
48
Let y = -257 - -365. Calculate the remainder when y is divided by 4.
0
Calculate the remainder when 62 is divided by -17 + (-4 - -21) + 1 + 27.
6
Suppose 0 = 5*m - 0*m - 75. Suppose -9 = -12*b + 9*b. Suppose 228 = b*g + 6. What is the remainder when g is divided by m?
14
Suppose 571 = 5*j - 4*v, v - 4 = -3. What is the remainder when j is divided by 6/(2*(-3)/(-39))?
37
Let t(l) = 2*l**2 + 6*l + 4. Let r be (-4)/(-10)*5*-2. Calculate the remainder when 23 is divided by t(r).
11
Let x(i) = i + 8. Let n be x(-4). Suppose n*o = -o + a - 168, 4*a = -4*o - 144. Let s = -19 - o. Calculate the remainder when 44 is divided by s.
14
Suppose -y = 3*c - 6*c + 36, 0 = 3*y. Suppose c*j - 4*j - 488 = 0. Calculate the remainder when j is divided by 7.
5
Let v(p) = 2*p + 43. What is the remainder when v(10) is divided by 16?
15
Let b(g) = -g**3 - 4*g**2 + g + 8. Let w be b(-4). Suppose t + 3*s = w, -2*t + 7*t = 4*s + 77. What is the remainder when 23 is divided by t?
10
Suppose 0 = 24*d - 9*d - 1245. Let y = -88 + 132. What is the remainder when d is divided by y - (-1 - 1 - -3)?
40
Let l = 290 + -283. Calculate the remainder when 58 is divided by l.
2
Let f(k) = -22*k + 1. Suppose -3 = -l - 1. Suppose -6*j - 9 = -3*c - l*j, 11 = -5*c - 2*j. What is the remainder when f(c) is divided by 13?
10
Let d(i) = -21*i**3 + 4*i**2 - 6*i + 4. Let z(b) = 22*b**3 - 5*b**2 + 7*b - 5. Let q(a) = 6*d(a) + 5*z(a). Calculate the remainder when 55 is divided by q(-1).
10
Let u be 2/(1 + -3) - -16. Suppose 2*i + 2*o = 6, 3*o + 2*o - u = 2*i. Let r = 5 + i. Calculate the remainder when 13 is divided by r.
3
What is the remainder when 18/4*166/3 is divided by 14?
11
Let g(v) = -22*v**3 + v + 1. Calculate the remainder when 74 is divided by g(-1).
8
Let n be (-3 - -3) + 1*-3. Let k be -3*17/n - 2. Let l = k - -1. What is the remainder when l is divided by 7?
2
What is the remainder when (-2732)/(-3) + -1 - (-10)/(-15) is divided by 76?
73
Let q be 4 + (-56)/(4/(-2)). Suppose -b - 4*b + 40 = -x, -4*b + 4*x + q = 0. Calculate the remainder when 29 is divided by b.
5
Let z = -2687 - -2787. What is the remainder when z is divided by 27?
19
Calculate the remainder when ((-38)/4)/(5/(-70)) is divided by ((-368)/12)/((176/(-24))/11).
41
Let h(a) = a**2 - 5*a + 2. Let g be h(4). L