en a is divided by 48.
47
Let b(y) = y**3 + 2*y**2 - 2*y + 12. Let t be b(-4). What is the remainder when ((-32)/(-6))/(t/(-36)) is divided by 10?
6
Suppose -5*m - 18 = -3*z - 71, -5*z - 19 = -3*m. Suppose -33 = 22*j - 33*j. What is the remainder when (-1)/(1*(j - (-154)/(-51))) is divided by m?
12
Let p(m) = -26*m + 22. Suppose 0 = -7*d + 131 - 138. Suppose 2*g = -3*k + 194, -3*g + 5*k - 72 + 344 = 0. What is the remainder when g is divided by p(d)?
46
Suppose 20*h - 2100 = -h. What is the remainder when 181 is divided by h?
81
Let d = -85 + 181. Let q be (-3)/(-12)*-34*-32. Suppose -4*f - 4*f = -q. Calculate the remainder when d is divided by f.
28
Suppose 16*u - 3*u = 15*u - 44. Calculate the remainder when (-436 + -1)/(5/(-5)) is divided by u.
19
Let t(u) = u**3 + 4*u**2 - 2*u. What is the remainder when 560 is divided by t(-1)?
0
Let h = -48 - -55. Suppose 162 - 57 = -h*a. Let c = 12 - a. Calculate the remainder when 66 is divided by c.
12
Let k be (-82)/(-12) + 20/(-24). What is the remainder when ((-4)/(-10) - k)/((-2)/15) is divided by 24?
18
Let s be 48/8 - 27*-8. Suppose -s = -3*a - 3*d, 3 = -2*d + 3*d. Calculate the remainder when a is divided by 9.
8
What is the remainder when 376 + (54/15)/9*-10 is divided by 107?
51
Let y(g) = 9*g - 11. Let x = -88 + 92. Suppose 0 = 2*d + x*n - 3 - 91, -5*n = -3*d + 86. Calculate the remainder when y(9) is divided by d.
33
Let l(h) = -26*h + 1431. Calculate the remainder when l(47) is divided by 3.
2
Calculate the remainder when 2*1/2 + 686 is divided by (-2 + 1)/(((-24)/424)/3).
51
Suppose -3*d = 6, 2*f + 3*d = 8*d + 152. Suppose 47 + 38 = 5*q - 5*h, -q + 2*h = -17. What is the remainder when f is divided by q?
3
Let m be -1 + 634 + (-224)/32. Suppose 2*i = -2, -4*g - 3*i = -i - m. Calculate the remainder when g is divided by 42.
31
Let y = 1029 + 296. What is the remainder when y is divided by 148?
141
Let m(p) = -12*p**3 + 3*p**2 - 4*p. Let k(i) = -23*i**3 + 5*i**2 - 7*i - 1. Let w(f) = 2*k(f) - 5*m(f). Calculate the remainder when 25 is divided by w(1).
12
Let a(o) = o**3 + 18*o**2 - 319*o + 146. Calculate the remainder when 430 is divided by a(-29).
138
Let o(p) = -p**3 - 10*p**2 - 2*p + 48. Let m be o(-10). Calculate the remainder when 20 is divided by (-5 - m/(-8))/(1/2).
6
Suppose 45 = s + 12. Let z(q) = q**3 - 8*q**2 + 5*q. Let a(b) = b**2 - b - 1. Let j(r) = -6*a(r) - z(r). What is the remainder when j(-4) is divided by s?
32
Calculate the remainder when 3 + 1584/(-3 - -11) is divided by 184.
17
Let t = -188 - -348. Suppose 0 = -2*w + 192 - t. Calculate the remainder when 46 is divided by w.
14
Let t(i) = -i**3 - 33*i**2 + 2*i + 2077. What is the remainder when t(-31) is divided by 63/4 + (-2)/(-8)?
13
Suppose 9*s + 895 = 25*s - 1409. Calculate the remainder when s is divided by 11.
1
Suppose 238 = -5*h + 68. Let n(c) = c**2 + 33*c + 33. Calculate the remainder when 192 is divided by n(h).
58
Let b be (9 + 7)/(2/152). Let z = -298 + b. Suppose -2*n - 7*n = -z. Calculate the remainder when n is divided by 13.
11
Let a(t) be the first derivative of -t**4 - 3*t**3 - 5*t**2/2 - 8*t + 37. Calculate the remainder when a(-4) is divided by 18.
16
Calculate the remainder when 428 is divided by 2156/(-495)*66/(-4) - (-2)/15.
68
What is the remainder when 322 is divided by ((-225)/27)/((-5)/6)?
2
Let v = -502 - -504. Calculate the remainder when ((-640)/(-14))/((-72)/(-252)) is divided by v.
0
Let u(f) = 17*f**2 + 192*f + 1182. What is the remainder when u(-6) is divided by 164?
150
Let w(c) = -2*c**2 + 2*c - 1. Let n be w(1). Let b be 60/24 + n/2. Calculate the remainder when 14 is divided by 6 + b + -5 - (-1 + -2).
2
Calculate the remainder when (-180 - (-24)/6)/((-4)/10) is divided by 34.
32
Suppose -4*r + 12 + 2 = f, 2*f + 5*r - 40 = 0. Let c be -3 + 1932/f - (-4)/(-10). Suppose 236 = 9*s - c. Calculate the remainder when s is divided by 7.
5
Suppose -18*k - 9*k = 18*k - 2070. Calculate the remainder when 474 is divided by k.
14
Let g = -399 - -417. Let p = 12 - 10. What is the remainder when g is divided by (-6)/(-2) - (p - 6)?
4
Let k = 17761 - 17594. What is the remainder when k is divided by 129?
38
Let g(h) = -h**3 + 8*h**2 - 7*h - 10. Let u be g(8). Let p be (-1 + (-2 + 2)/(-2))*u. Suppose -p + 3 = -7*n. What is the remainder when 53 is divided by n?
8
Suppose o = -2, 3*g + 408*o - 412*o = 404. What is the remainder when g is divided by 6?
0
Let h(j) = 5*j**3 - 65*j**2 - 21*j + 342. What is the remainder when 279 is divided by h(13)?
3
Let i(g) be the first derivative of -g**3/3 - 3*g**2 + 52*g + 165. What is the remainder when i(-6) is divided by 9?
7
Let f be -4 + (6 - (-2 + 4)). Suppose 2*b - 3*p + 2 - 14 = 0, 2*b - 4*p - 14 = f. Suppose b*r + 29 = 4*r. Calculate the remainder when 111 is divided by r.
24
Suppose 2*j = 4*w + 46, 6*j - 5*w = 8*j - 19. Suppose 5*n + 125 - 1425 = 0. Suppose -5*z + z = -n. Calculate the remainder when z is divided by j.
14
Suppose 35712 = 180*f + 6*f. What is the remainder when 2493 is divided by f?
189
Let c = 187 - 94. Let g(k) = 15*k**2 + 54*k + 117. What is the remainder when g(-8) is divided by c?
87
Suppose 209 = 4*t + 5*d - 6*d, 207 = 4*t + d. Let g = t + -26. What is the remainder when g is divided by 12 - (8/(-4) + 1) - -1?
12
Let w be (-30)/27 - (-5)/45. Let y be (-1 + w)/(-2)*(-1)/(-1). What is the remainder when 51 is divided by (y/4)/(6/264)?
7
Suppose -25*p - 42*p + 554 = -451. Calculate the remainder when 1152 is divided by p.
12
Suppose -7*g - 210 = -12*g. Calculate the remainder when 147 is divided by g.
21
Suppose 1858 = 21*u + 1186. Calculate the remainder when 86 is divided by u.
22
Suppose 2 = 453*r - 452*r, 3*r + 83 = w. Let f(p) = 6*p + 38*p**2 - 36*p**2 + 0*p - 2. Calculate the remainder when w is divided by f(-5).
17
Let l(m) = -17*m**3 + 3*m**2 - 4*m - 6. Let c be 1*(-3 - (-16)/4)*-1. Calculate the remainder when 66 is divided by l(c).
12
Suppose 4*y - 832 = -4*n, -7*y - 4*n = -2*y - 1040. Suppose 3*j + 2*h = 6*j - 156, -4*j + h + y = 0. What is the remainder when j is divided by 14?
10
Suppose -5*g - 4334 = -3*j, 5827 = 4*j + 8*g - 5*g. Suppose -1457*b = -j*b - 172. Calculate the remainder when 160 is divided by b.
31
Let o = -708 - -762. Let u = o + 50. Let a = 11 - -4. What is the remainder when u is divided by a?
14
Let d = 1275 - -7072. Calculate the remainder when d is divided by 33.
31
Suppose -5*k + 25 = 5. Suppose 0 = -4*h + 8 + k. Let i(y) = y**3 - 3*y**2 + 2*y + 2. Calculate the remainder when 61 is divided by i(h).
5
Suppose 2*l = -2*k + 556, -3*l - 2*k + 837 = 2*k. Suppose -8694 = 778*t - 967*t. What is the remainder when l is divided by t?
45
Let p = 66 + -54. Let u(b) = 2 - 2*b + 3*b - 4. What is the remainder when p is divided by u(7)?
2
Suppose 0 = -3*y + 190 + 14. Let t = -7 + 59. Let n = t - 34. Calculate the remainder when y is divided by n.
14
Let z be (-2*(-482)/(-16))/(17/68). Let k = z - -502. Calculate the remainder when k is divided by 6.
3
Suppose -5*o = 5*a - 35, 3*a + 2*o = -3 + 19. Let v(x) = 3 + 3*x**3 + 9 + 5*x**a + x**3 - 5*x**3 + 6*x. Calculate the remainder when 165 is divided by v(5).
39
Let v(w) = 79*w - 2. Let i be v(4). Let c = i + -277. Calculate the remainder when c is divided by 36.
1
Suppose -21*t = -17*t - 92. Suppose -t + 188 = 15*s. Suppose -u = -2, -5*g + 71 + 13 = -3*u. Calculate the remainder when g is divided by s.
7
Suppose 2*u = y - 46 - 12, 0 = -4*y + 4*u + 236. Calculate the remainder when 151 is divided by y.
31
Suppose 11*v = 9*v + 44. Suppose -2*q - j - 19 - v = 0, 5*q + 5*j = -105. Let f = q - -23. Calculate the remainder when 16 is divided by f.
1
Let y = 34 - 3. Let n be ((-14)/42)/(3 - 464/156). Let s = 26 + n. What is the remainder when y is divided by s?
5
Suppose -67*t = -114*t + 517. Calculate the remainder when 1638 is divided by t.
10
Let g be (440/(-275))/(2/(-20)). Suppose -a = -5*x + 20, -2*a + g = 6. What is the remainder when x is divided by 2?
1
Let w(x) = -5*x + 1. Let r be w(-14). Let p = 105 - r. Let v = 88 - p. What is the remainder when v is divided by 14?
12
Suppose -5 = -h + 3*l, -h + l + 1 = 2*l. Let p(i) be the third derivative of i**4/8 + 2*i**3/3 - i**2. What is the remainder when p(h) is divided by 8?
2
Suppose 0 = 85*s - 75*s - 440. Suppose