er when a is divided by 4.
3
Calculate the remainder when (125 + -20 + -18)*((-50)/(-3) + 0) is divided by 91.
85
Suppose 18*q - 22*q = 0, 0 = 3*r - 5*q - 1257. What is the remainder when 84635 is divided by r?
416
Suppose -8*a - 315 = -13*a. Let o = 87 - a. Calculate the remainder when 116 is divided by o.
20
Let u be ((-6)/(-4))/(6/184). Suppose u + 35 = 3*p. Let q = -5035 + 5050. Calculate the remainder when p is divided by q.
12
Let n(m) = -36*m + 985. What is the remainder when n(12) is divided by 142?
127
Let n = 1022 - 594. Suppose -283 = 108*c - 107*c. Let a = n + c. Calculate the remainder when a is divided by 37.
34
Suppose 0 = -4*h - 0*h + 112. Let x(o) = -o**3 + 13*o**2 + 30*o + 11. Suppose 0 = -14*d + 11*d + 45. Calculate the remainder when h is divided by x(d).
6
What is the remainder when 1358/4*(-4 + (-17)/(102/(-36))) is divided by 99?
85
Suppose 23 = -5*p + r - 107, -20 = 4*r. What is the remainder when 13/(p/(-24) - 1) is divided by 230/(-92)*88/(-10) - (-11 - -6)?
23
Let p = 92 + 99. Suppose n - 239 = -3*c + 3*n, -2*c + p = 5*n. What is the remainder when c is divided by 8 - 1416/180 - 506/(-30)?
15
Let f = -3558 + 3628. Calculate the remainder when f is divided by 15.
10
Let k = 523 - 457. Suppose -5*b = 20, -11*v + k = -10*v + 3*b. Calculate the remainder when 227 is divided by v.
71
Let v = 780 + -729. What is the remainder when 303 is divided by v?
48
Let u(z) be the first derivative of -35*z**2/2 - 58*z - 88. What is the remainder when u(-5) is divided by 60?
57
Let a(g) = -g**3 + 20*g**2 - 98*g + 10. What is the remainder when 144 + 2*(-1)/(-2) is divided by a(9)?
12
Let t(n) = -n**3 + 3*n**2 + 3*n + 3. Let h be t(0). Suppose h*g + 2*d - 65 = 0, -16*d - 43 = -2*g - 17*d. Calculate the remainder when 77 is divided by g.
14
Let z = 99 + -32. Suppose 12*p - z = 77. Suppose 5*y - 55 = 100. What is the remainder when y is divided by p?
7
Let v(w) = 17*w**2 - 2*w + 11. Let x be v(3). Suppose 2*d - x = 58. Calculate the remainder when d is divided by 33.
9
Suppose -5*a - 5*n + 130 = 0, -3*n = n - 12. Suppose 0 = -a*c + 29*c - 822. Calculate the remainder when c is divided by 69.
68
Suppose 3*p + p = r - 26, -5*p + 5 = 5*r. Suppose r*b - 7 = 23. Suppose -l = 5*x - 70, -2*l = b*x + 3*l - 70. What is the remainder when 67 is divided by x?
11
Suppose -5*l + g = -1426, 5*l - 1421 = 2*g - 6*g. What is the remainder when l is divided by (10/(-25))/(5/((-1250)/(-20))) - -34?
24
Let s(m) = 165*m**3 + 89 - 166*m**3 - 74*m + 19*m**2 + 19*m**2. Calculate the remainder when s(36) is divided by 12 - -4*3/(-6).
7
Let v(b) = 10*b + 5. Let f(o) = o**3 + 4*o**2 - 5*o - 18. Let r be f(-4). What is the remainder when 57 is divided by v(r)?
7
Suppose -3*p + 105 = -j, -p + 4*j - 6 = -41. Calculate the remainder when (-59 - -183) + (-6)/(-1) is divided by p.
25
Suppose -11*i = -6*i - 4935. Suppose -i = -7*f - 112. Suppose 3*p = -2*p + f. What is the remainder when p is divided by 9?
7
Suppose 0 = -0*x - 3*x + 5*w + 8, 5*x - w - 28 = 0. Let y be ((-9)/x - 0)/(21/(-56)). Suppose 0 = o - y - 3. What is the remainder when 10 is divided by o?
3
Suppose -3*m + 5*k - 2084 = -2866, 2*m - 4*k = 522. What is the remainder when 465 is divided by m?
206
Suppose -2*a = -2*g + 14, 5*a - 6*a - 13 = -3*g. Let s(w) = -6*w + 40. Calculate the remainder when 143 is divided by s(g).
11
Let m be 16/3 - (-9 - (-75)/9). Suppose -w = -20 - m. What is the remainder when 42 is divided by w?
16
Suppose 0*z - 3*z + 2*l = -155, 3*z - 157 = l. Calculate the remainder when 2119 is divided by z.
52
Let v be 425/34 - 1/2. Let o be -2 + 3/(-4) + (-135)/v. Calculate the remainder when (88/(-5))/(3*o/105) is divided by 16.
12
Suppose 0 = -15*k + 132 + 3148 + 1340. What is the remainder when 648 is divided by k?
32
Suppose 3*l - 333 = -v, 2*l - 4*v - 46 - 190 = 0. Suppose -5*c - 268 = -5*y + 17, 2*y = c + l. Calculate the remainder when y is divided by (-8)/(-6)*30/4.
5
Let m be (-75)/10*8/(-5). What is the remainder when 86 is divided by (80/m)/(-1 - (-5)/3)?
6
Let o = -185647 + 185652. Suppose -f - 5*b + 268 = f, 3*f = -b + 428. What is the remainder when f is divided by o?
4
Let z(b) = -3*b + 197. Calculate the remainder when 2293 is divided by z(52).
38
Let d be -2*(-8 + 1 - (-14 - -11)). Let o(k) = k**3 - 7*k**2 + 4*k + 21. Let b be o(d). Let q = b + -101. Calculate the remainder when 141 is divided by q.
13
Let f(l) = 2*l + 2. Let u be f(-3). Let j = u - -14. Let c(h) = -1223*h + 2504. Calculate the remainder when c(2) is divided by j.
8
Suppose 0 = -2*u - 2*l + 245 + 115, 2*u - 2*l - 340 = 0. Let i = -19 - -37. Calculate the remainder when u is divided by i.
13
Let m(c) = -c**3 + 30*c**2 + 4*c - 82. Let x be m(30). Let k = -2 + 6. Let y = x + k. Calculate the remainder when y is divided by 11.
9
Let r = -153 + 147. What is the remainder when (-2512)/64*(r + 2) is divided by 40?
37
Let h(s) = -21*s**2 + 6*s - 2. Let c(r) = -11*r**2 + 3*r - 1. Let a(t) = -13*c(t) + 6*h(t). Calculate the remainder when 140 is divided by a(-1).
14
Let m(l) = 2*l**3 - 4*l**2 + 2*l + 2. Let o be m(2). Calculate the remainder when 57 is divided by (15/10 + o)*2.
12
Suppose -j - 15 + 10 = 0, -5*u + 5*j + 1080 = 0. What is the remainder when u is divided by 50?
11
Let m be -77 + (3/(-9))/(1/(-3)). Let c = -61 - m. Suppose -g = -4*q + 223, 4*g = 5*q - 231 - 34. What is the remainder when q is divided by c?
12
Suppose -91*f + 24 = -85*f. Let z(m) = -103*m + 1. What is the remainder when z(-1) is divided by (-30)/f*98/(-21)?
34
Let v be (-26 + 28)/((-8)/6)*-2. Suppose 12 = -v*k, -5*w + k = -4*w - 6. Calculate the remainder when 2 is divided by w.
0
Let m = 3376 + 1240. Calculate the remainder when m is divided by 77.
73
Suppose 177*k - 134*k = 817. What is the remainder when 639 is divided by k?
12
Let s(p) = 39*p**2 - 2*p - 2. Let u be s(2). Suppose 76 = u*j - 148*j. What is the remainder when j is divided by 13?
12
Suppose -297 = -2*v + 155. Let f(y) = -303*y - 14. Let x be f(1). Let h = 355 + x. Calculate the remainder when v is divided by h.
36
Suppose -3*d + 31 = -2*d. Calculate the remainder when (-15 - 1886/(-92))*(1 + 27) is divided by d.
30
Let o be -3*(-13)/(-91) + 36/(-14). Calculate the remainder when ((-1215)/(-15))/(3/2) is divided by -2*((-4)/(-16))/(o/90).
9
Let l = 5692 - 3106. Calculate the remainder when l is divided by 259.
255
Let o = 4138 + -4007. Calculate the remainder when 5235 is divided by o.
126
Suppose 3*a - 30626 = -5*i - 1032, -i + 5*a = -5874. What is the remainder when i is divided by 51?
49
Let x(v) = 31*v**3 + v**2 + 2*v - 2. Let i be x(2). Suppose -17*r = -50 + i. Calculate the remainder when (4 + r)*30/(-4) is divided by 21.
18
Let o(g) be the first derivative of 11*g + g**2 + 3*g**2 - 2*g**2 - 4. What is the remainder when o(8) is divided by 9?
7
Suppose -2*s = -2*b - 262, -270 - 121 = -3*s + b. Suppose 3*n = -2*n + s. What is the remainder when n is divided by 16?
10
Let z = 6416 - 4644. Calculate the remainder when z is divided by 105.
92
Suppose 15*d - 159 = -99. Suppose -w - 7*h - d = -3*h, 3*w - 5*h - 56 = 0. Calculate the remainder when 958 is divided by w.
10
Let a(o) = -15*o + 154. Let m be a(14). What is the remainder when 234 is divided by 51 + m - (1 + -53)?
46
Let z(o) = -123*o + 405. Let i be z(6). Let u = -257 - i. Let g = -35 - -74. Calculate the remainder when u is divided by g.
37
Suppose 84*p + 5*g - 226 = 81*p, 158 = 2*p - 4*g. Calculate the remainder when 459 is divided by p.
74
Let w = -14184 - -14226. Calculate the remainder when 234 is divided by w.
24
Let u = 743 + -501. Calculate the remainder when u is divided by 32.
18
Suppose 293*b = 222*b + 21939. What is the remainder when b is divided by 96?
21
Let t(s) = -2*s**3 - 77*s**2 + s + 63. Suppose 2*r - 5*r = -720. What is the remainder when r is divided by t(0)?
51
Let o = -109 - -106. Let v be (-324)/(-6) - o - 4. Suppose -3*y = -1 - v. What is the remainder when 70 is divided by y?
16
Let q(j) be the first derivative of 5*j**3/2 - 2*j**2 - 20*j + 18. Let d(a) be the first derivative of q(a). Calculate the remainder when 49 is divided by d(2).
23
What is the remainder when 792/5*12285/1638 is divided by 16?
4
Let p(t) = 7*t**2 - 5*t + 3. Let x(h) = -3*h**3 - h**2 + 2*h - 1. Let u be x(-2