) is divided by b?
15
Suppose -1343*f + 420 = -1323*f. Suppose 220 = 4*r + 4*n, -2*n + 6 = r - 50. Calculate the remainder when r is divided by f.
12
Suppose 66*r - 65*r - 15 = 0. What is the remainder when 234 is divided by r?
9
Let q = 187 + -14. Let x = q + -23. Calculate the remainder when x is divided by 51.
48
Let q = -8789 - -8934. Calculate the remainder when 431 is divided by q.
141
Suppose -z + 0*z + 19 = 0. Calculate the remainder when z is divided by (-540)/(-1755) - 330/(-26).
6
Let z(c) = -c**2 - 2*c + 19. Let a be z(-5). Let b be (-522)/(-72)*(2 - (2 - a)). Suppose -b = -2*u - 1. Calculate the remainder when u is divided by 8.
6
Suppose -f + 2*f = 69. Suppose -b + 4*o - 22 = 2*b, 3*o - 6 = -3*b. Calculate the remainder when f is divided by 78/2 + -2 + b/2.
33
Let z(b) = 5*b**3 - 91*b + 90. Suppose 0 = -3*r - 38 + 212. Calculate the remainder when r is divided by z(1).
2
Let k be (63/(-14))/((-22)/(-8) - 2). What is the remainder when 139 is divided by 73*(7 + k)*1?
66
Let o be (-1 + 2)/((-60)/18 - -3). Calculate the remainder when 85 is divided by ((-1)/(-1)*3)/(o/(-9)).
4
Calculate the remainder when 4148 is divided by (-20)/30*-3 + 48.
48
Let r = 14 + -2. Let u(c) = c**3 - 12*c**2 + c - 18. Let l be u(r). What is the remainder when 62 is divided by (-2 - l) + 3/(2/2)?
6
Suppose 0 = 7*q - 97 + 20. Suppose q*x = 3023 + 1025. What is the remainder when x is divided by 41?
40
Let k(g) = g + 27. Let j = 2931 - 2717. What is the remainder when j is divided by k(0)?
25
Suppose -138 = -2*o - 4*f, -f + 22 = 4*o - 268. Calculate the remainder when 213 is divided by o.
67
Suppose -2*w - 3*d = w + 3, -3*d - 2 = 4*w. Let n(j) = 17*j - 13. Let a = -8 + 11. What is the remainder when n(w) is divided by a?
1
Suppose -6006 = -127*n + 105*n. What is the remainder when 550 is divided by n?
4
Suppose 15*x = 8278 - 7888. What is the remainder when 620 is divided by x?
22
Let u be -7 + 3 + 4 + 0. Suppose 5*j - 311 - 949 = u. Suppose 0 = -f + 15*f - j. What is the remainder when f is divided by 4?
2
Let j be (-65)/(-20 - -7) + (0 - 3). Suppose 2*p = -5*w + 20, -11*p + j*w = -9*p - 34. Calculate the remainder when 21 is divided by p.
6
Let k be 1 - 1/2*0. Let l(v) = -169*v - 3484. Calculate the remainder when l(-21) is divided by (-1)/k + 22 + 1.
21
Let x = -523 - -613. Calculate the remainder when 119 is divided by x.
29
Let s be (-9)/6 - 18/4. Let g be 746/10 + (s/5)/(-3). Suppose -5*f - 25 = -l, -l = -5*l - 5*f + g. What is the remainder when 258 is divided by l?
18
Suppose -3*m - 899 = -5*h - 4*m, -5*h + 2*m + 887 = 0. What is the remainder when 482 is divided by h?
124
Let s(h) = -253*h - 1068. What is the remainder when s(-7) is divided by 65?
53
Let t be 24/36*3/(-2). Suppose 19*a - 206 = 98. What is the remainder when (7/(-3))/t*33 is divided by a?
13
Let y(r) = 613*r - 6958. Calculate the remainder when y(14) is divided by 5.
4
Suppose 0 = n - 5, 5*m + 2*n + 3*n = 100. What is the remainder when 18740/140 + (-3)/(-21) is divided by m?
14
Suppose m - 68 = -m. Let q(t) = 36*t + 1819. What is the remainder when m is divided by q(-50)?
15
Let s = -146 - -302. Suppose 20*f = 24*f - s. Suppose -4*z = -5*r - 26, -2*z - 3*z + f = -3*r. What is the remainder when z is divided by 5?
4
Calculate the remainder when (2 + -1)*-5 + (35 - -247) is divided by 141.
136
Suppose -s = -3*x - 216, -2*s + 12*x + 464 = 14*x. What is the remainder when s is divided by 33?
30
Let f = -10221 - -10240. What is the remainder when 1955 is divided by f?
17
Suppose w + 2*l = -0*l, -w + 5*l = -35. Suppose -w*o + 23*o = 3991. Calculate the remainder when o is divided by 44.
43
Suppose 5*g - 3*z - 53 = 0, 3*g + 3*z - 5*z = 31. Suppose -8*w - g*w = -105. What is the remainder when w is divided by (-3 + 0)/(3/(-2))?
1
Suppose 21*a = 1966 + 2108. What is the remainder when 21337 is divided by a?
191
Let m(t) = t**2 - 25*t + 45. Let g be m(24). Suppose 0*k + g*k = 126. Calculate the remainder when 53 is divided by k.
5
Let q = -56 - -186. Calculate the remainder when q is divided by 212/3 + (-40)/15.
62
Let t(y) = -47*y + 6. Let m(l) be the second derivative of -l**3/6 - l**2/2 + 31*l. Let v(b) = -5*m(b) - t(b). What is the remainder when v(1) is divided by 14?
9
Let d(q) = -q**3 - q + 0*q**3 - 12 + 17 - 4*q**2. Calculate the remainder when d(-4) is divided by -7*4*(-3)/12.
2
Let f = -6136 + 6261. What is the remainder when 1368 is divided by f?
118
What is the remainder when 58 is divided by (-9 + 16 - 10/4)*(-88)/(-11)?
22
Suppose 4*a - 50 = 46. Calculate the remainder when (16/(-2) + -5)*-1 is divided by 164/a - 3/(-18).
6
Let v(p) = 2*p**2 - 216*p - 1071. What is the remainder when (-167)/(4*-1 - -3) is divided by v(-5)?
49
Let s be (108/(-216))/((-37)/36 - -1). Suppose -s*u + 24*u = 108. What is the remainder when 58 is divided by u?
4
Suppose -2*a = -5*x - 37, 5*a - 47 + 12 = x. What is the remainder when (1 - (-21)/(-9))*(-486)/a is divided by 28?
24
Let q be 3/(2/(-1 - -15)) - 2. Let s = 11 - q. Calculate the remainder when 48 is divided by 1 - -3 - (s + 5).
6
Let z = 12 + 4. Suppose 4*y - 3*o - 6 = z, 3*o - 14 = -5*y. Suppose y*u + 5*r - 7 = 2*u, -4*u + 32 = 4*r. Calculate the remainder when u is divided by 6.
5
Suppose 5*m - 3*z = 2*z + 690, 5*m + 2*z - 697 = 0. Calculate the remainder when 380 is divided by m.
102
Suppose 266*n + 17856 = 452*n. What is the remainder when 1243 is divided by n?
91
Let r(d) = 13*d**3 - 12*d**2 - 12*d + 5. Let b be r(-5). What is the remainder when 209 is divided by (b/(-9))/5 + (-8)/(-12)?
41
Suppose 146 = n + n. Let j(v) = -2*v**2 + 28*v - 3. Let a be j(10). Suppose 3*z - 4*k = 79, -3*z + k = -k - a. Calculate the remainder when n is divided by z.
23
Suppose 5*b - i = 14 + 133, -3*i = 2*b - 69. Calculate the remainder when 8 - 94/(10 - 12) is divided by b.
25
Suppose -10*t - 1099 = -2*t - 8035. Calculate the remainder when t is divided by 850.
17
Let w = -7482 + 7501. Suppose -2*k - 5*i = -8, 3*k + i = 15 + 10. Let a = -1 + k. Calculate the remainder when w is divided by a.
3
Suppose -u + m = -53, u - m + 2*m - 53 = 0. Suppose 6*o = 163 + u. What is the remainder when o is divided by 10?
6
Suppose -39113 - 146770 = -68*k + 66873. What is the remainder when k is divided by 6?
3
Let o = 1120 + -430. Suppose -67*i + o = -61*i. Suppose -2*c - 67 = -i. What is the remainder when 93 is divided by c?
21
Suppose 8*t = 3*t + 125. Suppose 4*i + 884 = 4*u - u, -5*u = -i - 204. What is the remainder when ((-91)/2 - 1)*i/84 is divided by t?
24
Let b(v) = 1214*v - 450. What is the remainder when b(4) is divided by 1468?
2
Let j = -135 - -254. Suppose -3*q = -q + 1618 - 1682. What is the remainder when j is divided by q?
23
Let c = -8 + 24. Suppose 45*n - 76 = 7*n. Suppose 3*a + 0*a - n*k = 130, -2*a + 4*k = -76. Calculate the remainder when a is divided by c.
14
Let d(w) be the first derivative of -w**3/3 - 9*w**2/2 - w + 1. Let u = 1021 - 920. What is the remainder when u is divided by d(-6)?
16
Let y be 1*(8 + 3/3). Let g = -3 + y. Let c(m) = -47*m - 2287. Calculate the remainder when c(-49) is divided by g.
4
Let w(o) = -46*o**2 - 463*o - 48. What is the remainder when w(-8) is divided by 22?
8
Suppose 0 = 3*c - 2*u + 1297, c + 2*u = -0*c - 443. Let r = -275 - c. Calculate the remainder when r is divided by 12.
4
Let m(x) = -6*x + 183. Let r be m(30). Suppose 12*f = h + 7*f - 37, r*f = 0. Calculate the remainder when 101 is divided by h.
27
Suppose 3*n = -5*l + 267, 5*l - 4*l + n = 53. Suppose -h - 37 = -2*k - 33, -2 = -5*h - k. Suppose h = 5*b + b - l. What is the remainder when b is divided by 6?
3
Let a(l) = -l**3 + 38*l**2 - 201*l - 5. Calculate the remainder when a(7) is divided by 35.
2
Let t = -2180 + 2199. Calculate the remainder when 102 is divided by t.
7
Let p(v) = -2*v**3 + 81*v**2 - 39*v - 16. Suppose -4*z + 2*i = -254, 4*z - 255 = -0*i + i. What is the remainder when z is divided by p(40)?
16
Suppose 0 = 2*n + 2*p + 7 + 13, 5*n = 5*p. Let j(l) = l**3 + 6*l**2 - 4*l - 4. Let a be j(n). Let i = a - -56. Calculate the remainder when i is divided by 20.
17
Suppose 0 = 6*n - 8*n + 3*v + 17, -2*v + 74 = 4*n. Calculate the remainder when 559 is divided by n.
15
Suppose 0 = 74*h - 207*h - 512 + 7694. What is the remainder when 647 is div