
87
Let x(m) = -m**3 + 11*m**2 - 14*m - 32. Let n be x(9). Suppose -6*c = n*c - 740. What is the remainder when 293 is divided by c?
71
Let u = -4097 + 4249. Calculate the remainder when 1226 is divided by u.
10
Let d(j) = -2*j**2 - 8*j - 1. Let o be d(-8). Let a(f) = -16*f + 52. Let y be a(10). Let u = o - y. What is the remainder when u is divided by 9?
7
Calculate the remainder when (9 - (0 + 2)) + 12/3 is divided by 5.
1
Let f = 10172 + -9941. What is the remainder when f is divided by 90?
51
Suppose -371 = -13*k - 111. Suppose 0*y + y + 5*r - 16 = 0, 2*y - 2*r - k = 0. Calculate the remainder when 21 is divided by y.
10
Let q = -12 - -28. Let g(t) = -38*t - 440. Let y be g(-12). Let r(b) = -b**2 + 12*b + 172. Calculate the remainder when r(y) is divided by q.
12
Let o(b) = 11*b**2 - 7*b + 4. Let k(d) = 23*d**2 - 15*d + 8. Let q(x) = -2*k(x) + 5*o(x). What is the remainder when 11 is divided by q(1)?
3
Suppose 11676 = 3*n - 3*o, -o + 11696 = 3*n + o. Calculate the remainder when n is divided by 779.
1
Let c(q) = q**3 + 18*q**2 - 20*q + 12. Let y be (-6)/(4/20 - 98/640). Let v = -69 - y. Calculate the remainder when v is divided by c(-19).
28
Let d = 330 + -322. Suppose 5*t = -d*t + 234. Calculate the remainder when 63 is divided by t.
9
Let i = 184 - 92. Suppose 4*w + 5 = -g + 49, 5*w = -3*g + 97. What is the remainder when i is divided by g?
20
Let b(y) = -19*y - 13. Let t = -64 - -61. Let j be (8/2 - (-3 - -6)) + t. What is the remainder when b(j) is divided by 9?
7
What is the remainder when 14309 is divided by 35/(-21)*(-9 - 9)?
29
Let j(q) = 2*q**3 + 55*q**2 - 30*q - 45. Let o be j(-28). Suppose -o*d - 9*d + 700 = 0. Calculate the remainder when 58 is divided by d.
23
Let m = 4536 - 4512. What is the remainder when 389 is divided by m?
5
Suppose 129*s = 135*s - 912. Suppose -3*g = 2*y + 111, 4*g - 126 = 2*y + 2*g. Let c = 91 + y. What is the remainder when s is divided by c?
28
Let u(b) = 11*b**2 + 3*b - 4. Let p be u(1). Let l = 158 - p. What is the remainder when l is divided by 50?
48
Suppose -4*y = -3*r + 153, 80 = -2*y - 3*r + r. What is the remainder when 12 is divided by (-10)/50*(4 + y)?
5
Suppose 0 = 3*a + q + 311, -6*a - 314 = -3*a - 2*q. Let j = 116 + a. Calculate the remainder when (-226)/(-10) - 2/(-5) is divided by j.
11
Let x be 3 - (-4 + 4)/(-7). Suppose 2*i = -4*a - 12, -5*i + 2*a = -x*a - 45. Calculate the remainder when 66 is divided by i.
2
Let u = -23 - -37. Let q(d) = 39*d - 191. What is the remainder when u is divided by q(5)?
2
Let k(q) = -q**3 + 4*q + 22. Let v(r) = -10*r**2 + 131*r - 13. Let n be v(13). Calculate the remainder when 64 is divided by k(n).
20
Suppose -2*w + 3*g = -76 - 61, 0 = -3*g + 21. Calculate the remainder when 1097 is divided by w.
70
Let f = 579 - 954. Let l = f + 638. What is the remainder when l is divided by 53?
51
Let w = 7628 - 7538. Calculate the remainder when 14309 is divided by w.
89
What is the remainder when 1250 is divided by -17 + 0 - (-28 - -4)?
4
Let u(i) = -21*i + 13 + 22*i - 16. Let q be u(8). Suppose t - c + 23 = q*t, -1 = t - 2*c. What is the remainder when 6 is divided by t?
1
What is the remainder when -2*198/5*-2*455/56 is divided by 43?
40
Suppose 0 = -80*i + 8*i + 8*i + 1280. Calculate the remainder when 9538 is divided by i.
18
Suppose 45*t + 41*t - 102772 = 389492. Calculate the remainder when t is divided by 117.
108
Suppose -45*f - 152 = -46*f. Let r = 207 - f. Calculate the remainder when r is divided by 16.
7
Suppose 5*n = -99 + 719. Let d be 168 + -3*2/(-6). Let p = d - 144. What is the remainder when n is divided by p?
24
Let f(z) = 40*z**3 - 2*z**2 + 13*z - 12. Let s be f(1). Suppose m + s = 133. What is the remainder when m is divided by 20?
14
Let t = -29 - -34. Suppose t*o - 240 = 5*r, 2*r = -30 + 36. What is the remainder when o is divided by 20?
11
Let c = -113 - -140. Let o(w) = w**3 - 18*w**2 - 4*w - 2. Let g be o(18). Let k = g - -125. Calculate the remainder when k is divided by c.
24
Suppose -82*o + 20054 = -8*o. Calculate the remainder when 1839 is divided by o.
213
Let f = 10092 + -9478. Calculate the remainder when f is divided by 2 - ((-1 - -1) + -54).
54
Let d = 9524 - 9283. What is the remainder when d is divided by 31?
24
Suppose 4*l + 81 = -5*k, 39 = -2*l - 3*k - 4. Calculate the remainder when 63/(-30)*l + 42/70 is divided by 11.
8
What is the remainder when (-168)/(-154) - (-5079)/33 is divided by 20?
15
Suppose -55*l - 1 = -56*l. Calculate the remainder when 123 is divided by ((-513)/9 + 5/l)/(-2).
19
Let v be (-2571)/(-7) + (-2)/7. Suppose -3*z + v = j, -z - 2*z + 5*j + 397 = 0. Let g(q) = 3*q**2 - 32*q - 98. What is the remainder when z is divided by g(14)?
40
What is the remainder when (4/(-3))/(((-252)/(-3537))/(-7)) + -6 is divided by 3?
2
What is the remainder when 1151 is divided by (-19)/(-1) + 15 + 161/(-7)?
7
Suppose 19*s - 26*s = -203. Suppose -b = -4*i + 709, i + 2*i - 4*b - 548 = 0. Let q = i + -90. What is the remainder when q is divided by s?
28
Let t = -4912 + 8495. What is the remainder when t is divided by 46?
41
Let w = -9959 + 10452. Calculate the remainder when w is divided by 241.
11
Let z = -223 - -144. Let n = -76 - z. Suppose -2*c - l + 5*l = -62, 0 = n*l - 12. Calculate the remainder when 113 is divided by c.
35
Calculate the remainder when 5/((-30)/4) + 52/6 is divided by (-1 + 7 + 2)/1.
0
What is the remainder when (-2653)/(-4) - (581/(-28) - -22) is divided by 170?
152
Let l = 57 - 34. Suppose 143*p + 621 - 1617 = 1578. What is the remainder when l is divided by p?
5
Suppose -3*o - 151 = -5*f - 5*o, -o - 33 = -f. What is the remainder when 1525 is divided by f?
6
Suppose -3*t + 5*k = -9, 5*t + 3*k = 182 - 133. What is the remainder when t is divided by 7?
1
Let x = -152 - -90. Let m = x - -84. What is the remainder when 75 is divided by m?
9
Let f(n) = -n**3 + 55*n**2 + 57. What is the remainder when 208 is divided by f(55)?
37
Let a = 339 + -313. Let t = a - -110. Calculate the remainder when t is divided by 24.
16
Suppose -9 = -c + 5*z + 5, c = -4*z + 5. Let t(f) = -6 + 2*f**2 + f - 12*f - 2*f. Calculate the remainder when 270 is divided by t(c).
36
Calculate the remainder when ((-168)/1428 + 2019/(-34))*-8 is divided by 3.
2
Let x(m) = 15*m**2 + 3*m. Let q be x(1). Suppose -q*j + 9*j = -648. Let h = 81 - j. Calculate the remainder when h is divided by 4.
1
What is the remainder when 41 is divided by ((-8)/(32/(-10)))/((-6)/(-36) - 0)?
11
Let u(f) = -f**2 + 12*f - 18. Let h be u(8). Let q(k) = -25*k + 16. Let n be q(-2). Suppose h = -64*l + n*l. What is the remainder when 102 is divided by l?
4
Let f(b) be the first derivative of -b**2 - b + 2. Let y be 1 + (-42)/6 - (2 + 0). Calculate the remainder when 71 is divided by f(y).
11
Let p(z) = 8*z + 77. Let n be p(-9). Suppose n*j + 195 = 18*j. What is the remainder when j is divided by 9?
6
Suppose 199*p - 196*p - 8994 = -5*z, -5*z = -5*p + 14990. Calculate the remainder when p is divided by 120.
118
What is the remainder when 1915 is divided by 6 + (256 - 7) - -9?
67
Suppose 71*d - 10*d - 819 - 645 = 0. Suppose -2*s + 102 = -0*s. Suppose -3*p + 27 + s = h, 161 = 2*h + p. Calculate the remainder when h is divided by d.
9
Calculate the remainder when 646 is divided by 16 - 9 - -75 - 0.
72
Suppose -55*y + 60*y = -4*s + 312, 0 = -y + 2*s + 68. Calculate the remainder when 952 is divided by y.
56
Suppose 0 = -11*b + b - 50. Let m(a) = 9*a + 65. Suppose -l = -30 - 7. Calculate the remainder when l is divided by m(b).
17
Suppose -2*n - 6 + 82 = 2*i, 46 = 2*n - 3*i. Calculate the remainder when 482 is divided by n.
2
Let u(n) = -24*n**2 + 3*n + 8. Let i be u(-2). Let l = i + 108. Calculate the remainder when 335 is divided by l.
13
Suppose -13 = -g - 4. Calculate the remainder when 74 is divided by 35 + 0 + (-1 - (5 - g)).
36
Let a(f) = -164*f - 3801. Calculate the remainder when 1208 is divided by a(-24).
128
Suppose 3*m + 2*p = -p + 6, -4 = -3*m - 4*p. Let h be 4/(16/m)*-5. Let y(c) = c**3 + 9*c**2 + 9*c - 6. Calculate the remainder when y(h) is divided by 17.
15
Let x be 2*-1*86/4. Let v = -5165 - -5243. Let n = v + x. What is the remainder when 138 is divided by n?
33
Suppose 4*h - 13840 + 2532 = 0. Suppose -2*d + h = 5*n, d + 1 = -3. Calculate the remai