a + 4 - 55 = 0. Calculate the remainder when 66 is divided by b.
3
Suppose -v - 64 = 7*v. Let o(x) = x**2 + 11*x + 35. Suppose 4*s - 96 = s. Calculate the remainder when s is divided by o(v).
10
Suppose 17*a - 26 - 42 = 0. Suppose -3*j = -5*p + 28, -j = a*p - 16 - 3. Calculate the remainder when 89 is divided by p.
4
Let h(a) = a**2 - 2*a + 1. Let k be h(5). Suppose k*i = 17*i + 39. Let x = i + 56. Calculate the remainder when x is divided by 10.
7
Suppose -115 + 37 = 3*q. Suppose 0 = -294*u - 2106 + 6810. What is the remainder when -4*(q/4 + 0) is divided by u?
10
Let t(r) = -r**2 + 29*r - 116. Calculate the remainder when t(16) is divided by 18.
2
Suppose 0 = 156*m + 675 - 2235. Calculate the remainder when 2967 is divided by m.
7
Let t(g) = 4*g - 36. Let o(x) = -x**2 - 3*x - 3. Let c be o(-9). Let i = -40 - c. Calculate the remainder when t(i) is divided by 7.
4
Let p = 3123 + -3004. What is the remainder when 448 is divided by p?
91
Let u be 3*-63 - (-2)/(-2). Suppose 2143*b - 2161*b - 457 = 641. Let c = b - u. What is the remainder when c is divided by 22?
19
Let m(f) = -f**3 + 27*f**2 + 33*f - 97. Calculate the remainder when 197 is divided by m(28).
25
Suppose -61*d - 70*d + 1855 = 134*d. Suppose -3*u - 4*z = -137, 1 + 137 = 3*u + 3*z. What is the remainder when u is divided by d?
5
Let g be ((-380)/(-6))/2 - (-5)/15. Suppose g = -0*s + 4*s. Suppose -2*a - 5*k - s = -88, 2*a - 5*k = 40. Calculate the remainder when 89 is divided by a.
29
Suppose 5*u - 8 = 17. Suppose 3*t - 11 = -a + 8, 0 = u*t - 4*a - 9. Suppose -43 = -t*d + 157. Calculate the remainder when d is divided by 11.
7
Suppose 0 = -138*z + 13180 + 23942. Calculate the remainder when 279 is divided by z.
10
Let r(q) = -35*q - 1831. What is the remainder when r(-65) is divided by 90?
84
Let n be 0/(5 + -4 + -2). Suppose -69 = -a + 4*q + 59, q = n. Calculate the remainder when a is divided by 13.
11
Let a = 530 - 219. Suppose 6*w - a + 113 = 0. Calculate the remainder when 226 is divided by w.
28
Suppose 413*i - 331*i - 206406 = 319624. What is the remainder when i is divided by 23?
21
Suppose 826 = 104*r - 9534 + 1936. Let n = -3 - -6. Suppose -3*j - n*g = -r, -4*j = 3*g - 152 + 39. Calculate the remainder when j is divided by 9.
5
Suppose -5 = -w - 0*w. Suppose w*d - 48 = d. Let o = -190 + 196. Calculate the remainder when d is divided by o.
0
Suppose 2*u = 10*u - 3*u - 535. What is the remainder when 414 is divided by u?
93
Suppose -24*n + 19*n = 3*b - 635, 3*n + 15 = 0. Calculate the remainder when b is divided by 74.
72
Calculate the remainder when (2 + (-34)/(-6) - 2)/(32/96) is divided by (-3)/(-3)*(2 + 12).
3
Let o = 3498 + -3481. What is the remainder when 81 is divided by o?
13
Let z = -2096 + 3022. Calculate the remainder when z is divided by 39.
29
Suppose -608 = -4*s - 5*g - 515, 0 = 3*g - 15. What is the remainder when 9722 is divided by s?
15
Let h(s) = s**3 - 68*s**2 - 1291*s + 1. What is the remainder when h(-15) is divided by 662?
29
Suppose 3*o - 34 = -89*w + 87*w, -w + 20 = 2*o. Suppose -2*d + 22 + 26 = 0. What is the remainder when d is divided by o?
0
Suppose 2*o - 3*b - 19069 = -5392, 3*o + 3*b = 20553. What is the remainder when o is divided by 13?
8
Let a(n) = 12*n - 42. Let z be 6*2/(-28) + (-62)/(-14). What is the remainder when a(z) is divided by 3?
0
Let v(p) = 3*p**2 + p - 10. What is the remainder when v(-9) is divided by 35/(-70) - 195/(-10)?
15
Let p = 446 + -424. Calculate the remainder when 211 is divided by p.
13
Suppose -t - 4*t = 3*t. Suppose 7*a - 63 = -t*a. Calculate the remainder when 48 is divided by a.
3
Let q(b) = 24*b + 190. Let x = -92 - -86. Let f = 30 + -17. Calculate the remainder when q(x) is divided by f.
7
Suppose -2*n = -4*n + 78. What is the remainder when (-6524)/(-8)*936/1638 is divided by n?
37
Let d be 5 - ((-376)/(-12))/(4/66). Let k = -193 - d. What is the remainder when k is divided by 40?
39
Suppose 0 = -y + 3*m + 3, 4*y - m - 10 = 2. Suppose y*g + 144 = 375. Calculate the remainder when g is divided by 20.
17
Let o = -2035 + 2040. Let j(h) = h**2 - 5. Let g be j(-5). Suppose o*r + g = 70. Calculate the remainder when 39 is divided by r.
9
Let b = -180 - -501. Let q(f) = -57*f + 2983. Calculate the remainder when b is divided by q(52).
17
Suppose 55*i = 54408 - 72469 + 433751. What is the remainder when i is divided by 38?
34
Let h be (-13 - -15)*(-9)/(-2). Suppose -13 = -h*p + 77. What is the remainder when 78 is divided by p?
8
Suppose 7*a - 3*a = 88. Let u(d) = -2*d**2 + 13*d + 24. Calculate the remainder when a is divided by u(7).
5
Let x(u) = -5*u - 114. Let s be x(14). Let z = s + 478. What is the remainder when z is divided by 60?
54
Suppose 0 = -2*p + 4, 2*q - 236 = -2*q + 4*p. Calculate the remainder when 2/8 - (-151)/4 is divided by (-56)/(-84) + q/3.
17
Let q = -164 + 361. Let s(g) = -g + 15. Let c be s(11). Suppose -3*j + 2*i + 111 = -41, c*j - 203 = 3*i. What is the remainder when q is divided by j?
47
Let q = 8 - -51. Suppose 10*x - 31 = q. What is the remainder when (0 - 28)*(-5)/4 is divided by x?
8
Let w = -370 + 363. Let i(v) = -18*v - 15. Calculate the remainder when i(w) is divided by 25.
11
Let h = 425 - 414. Calculate the remainder when 241 is divided by h.
10
Let l be 3 + (-2)/6*(8 + -2). Calculate the remainder when (180/(-16) + l)*-8 is divided by 12.
10
Let r = 4244 - 3537. What is the remainder when r is divided by 178?
173
Suppose -5*q - 3 = -13. Suppose 4*y = q*p - 0*p + 12, 0 = 2*p. What is the remainder when 8/24 + (130/y)/2 is divided by 4?
2
Let p(j) = 5*j**3 - 3*j**2 + 1. Let n = -91 - -63. Let g = -13 - n. What is the remainder when p(2) is divided by g?
14
Suppose 30*h - 996 = 42*h. Let x = -36 - 46. Let c = x - h. Calculate the remainder when c is divided by 1.
0
Let v = 394 - 340. Suppose v*f = 51*f + 33. Suppose -t - 208 = -5*t. Calculate the remainder when t is divided by f.
8
Let q = -481 - -3499. What is the remainder when q is divided by 89?
81
Let p = -16820 - -18193. Calculate the remainder when p is divided by 1349.
24
Let z = -2083 - -2497. What is the remainder when z is divided by 128?
30
What is the remainder when 1054 is divided by (-3 + 4)/(18 - 19)*-134?
116
Let g = 199 - 125. Suppose 0 = -5*j + 12 + 523. What is the remainder when j is divided by 6*(-5)/60 + g/4?
17
Suppose 5*w - 2*p = 2*w + 240, 0 = 2*w + 2*p - 150. Let l = -3 + 19. Calculate the remainder when w is divided by l.
14
Suppose -11*c = -9*h + 4*h - 1322, 3*h = 4*c - 476. Suppose -3*b + 5 = -4. Calculate the remainder when c is divided by b.
2
Suppose -316593 + 311973 = -14*j. What is the remainder when 2993 is divided by j?
23
Let t(i) = -i**3 - 31*i**2 + 48*i - 44. Let y be t(-33). What is the remainder when (-1)/(((-22)/y)/((-12)/(-10))) is divided by 19?
11
Let u = 6 - 4. Suppose -5*s + u*z + 2*z = -111, -z = -s + 23. What is the remainder when s is divided by (14/(-6))/(4/(-12))?
5
Let v = -12870 - -12885. What is the remainder when 105 is divided by v?
0
Let j = -2 + 6. Suppose j*q + 5*p + 0*p - 300 = 0, -2*p - 202 = -3*q. Calculate the remainder when 698 is divided by q.
68
Let g(u) = 4 + 19*u - 15*u - 14. Let h be g(4). Suppose h*k - 72 = 3*k. What is the remainder when k is divided by 5?
4
Suppose 4*x - 20 = 3*h, -2*h + h = -3*x + 15. Suppose 2*c - 19 - 89 = h. Calculate the remainder when c is divided by 11.
10
Let x be -2 + 6 - (2 - -2). Suppose -2*s - 10 = x, -d = -4*d - 4*s - 14. What is the remainder when 15 is divided by d + 0 - (-2 - 5)?
6
Suppose -10*j + 37 = -9*j - q, -q = 2*j - 89. What is the remainder when 755 is divided by j?
41
Let a = -36852 + 37430. Calculate the remainder when a is divided by 8.
2
Let x be (-24)/28*(-28)/4. Suppose x*y - 748 = -82. Calculate the remainder when y is divided by 29.
24
Suppose 7*p - 3*p = 2*a + 328, 0 = -4*a + 16. Let d = -239 + 256. What is the remainder when p is divided by d?
16
Suppose 23*g - 25457 = 18680. Calculate the remainder when g is divided by 120.
119
Let o = -189 + 309. Let l = 127 - o. Suppose z = -l*z + 256. Calculate the remainder when z is divided by 21.
11
Suppose -897 = 8*c - 209. Let i(o) = 2*o - 6. Let b be i(6). Calculate the remainder when (-5 - -3) + b - c is divided by 13.
12
Suppose -120*f = -126*f - 744. Let p = 1