*b + 14. Let c be 1/3 - 33/b. Suppose -3*g + c*u = -19 - 32, 4*g - 68 = 4*u. Calculate the remainder when 67 is divided by g.
16
Let x be (4/14 - 24/(-14))/(-2). What is the remainder when 67 is divided by (-4 + 3 + 4)*(x + 7)?
13
Let k(n) = -n**3 - 8*n**2 + 21*n + 12. Let u be k(-10). Suppose 37 = 2*v + 21. What is the remainder when u/(108/(-55) + 2) is divided by v?
7
Suppose 42156*j - 42166*j + 50 = 0. Suppose -4*q = 24 - 272. Calculate the remainder when q is divided by j.
2
Let y(u) = u**3 + 66*u**2 - 192*u + 10. Calculate the remainder when 8083 is divided by y(3).
53
Suppose -82*p - 178 + 1408 = 0. What is the remainder when -3 - 3*65/(-5) is divided by p?
6
Suppose 0 = -3*a - 2*z - 37 + 232, -3*z - 195 = -3*a. Let r(d) = -d**3 + 8*d**2 - d + 186. What is the remainder when r(0) is divided by a?
56
Let i = 1404 + -822. Let d = -945 + 954. Calculate the remainder when i is divided by d.
6
Let d(c) = -2*c**3 + 22*c**2 - 17*c + 34. What is the remainder when 1403 is divided by d(10)?
59
Let g = -54 - -148. Let x be (-2)/(-16) + (-372)/(-96). Suppose 5*j = -x*s + 472, -j - s = -0*s - g. What is the remainder when j is divided by 25?
21
Let g be 12/(-3) + -4*4/(-8). Let u be -5 - (g/10 + 36/30). What is the remainder when 42 is divided by 83/5 + (u - (-162)/30)?
10
Calculate the remainder when (-27)/45*859*(-120)/36 is divided by 14.
10
Let w = 964 + -830. What is the remainder when 2409 is divided by w?
131
Suppose 291 = 2*l - 5*j, -2*j = -l - j + 147. Suppose -14*h + 2144 = 42*h + 408. Calculate the remainder when l is divided by h.
24
Suppose n = 3*k - 19, 0 = k + 2*n + 3. Suppose 11*x - 8*x = -k*s + 793, -s - 4*x + 162 = 0. Calculate the remainder when s is divided by 23.
20
Let a = 697 - -10450. Calculate the remainder when a is divided by 82.
77
Suppose 5*z + 91 = 3*c, -25*c + 20*c + 141 = -3*z. What is the remainder when 1589 is divided by c?
23
Suppose 0 = a - 152 + 134. Suppose -2*f - f - a = 0. Let n = f - -21. Calculate the remainder when 28 is divided by n.
13
Suppose -4*c - b + 14 = c, 2*b = 4*c - 14. Suppose 5*j = -3*y + 5*y - 30, 12 = -c*j. What is the remainder when 11 is divided by y?
1
Let i = -299 + 404. Let t = i + -83. What is the remainder when t is divided by 3?
1
Let j(v) = -8*v - 40. Let w be j(-6). Let b be (4/w*4)/1. Suppose -12 = -n - 4*n - g, 18 = b*n - 4*g. Calculate the remainder when 13 is divided by n.
1
Suppose -x + 763*j + 148 = 761*j, 4*x - j - 592 = 0. What is the remainder when x is divided by 85?
63
Let f(w) = -w**2 - 6*w + 3. Suppose -u - 15 = 2*z, 5*z - 2*z + 24 = -2*u. What is the remainder when (203 + 28)/33 - 2 is divided by f(z)?
2
Let q = 14222 - 14171. What is the remainder when 2037 is divided by q?
48
Let t(s) = s**3 - 15*s**2 + 45*s - 3. Let q(m) = 3*m**2 + m - 685*m**3 + 5*m - 7 + 684*m**3. Let g be q(3). Calculate the remainder when 30 is divided by t(g).
6
Suppose -416*n + 121809 = -28035 + 26292. Calculate the remainder when n is divided by 47.
15
Suppose h = -3, -2*h = 438*w - 437*w - 131. What is the remainder when w is divided by 31?
13
Suppose -3*h + 4265 - 4094 = 3*g, 5*g = -3*h + 175. Calculate the remainder when 183 is divided by h.
18
Let y = 7172 + -7126. Let m be (-33)/4 + (-3)/(-12). Let z = y + m. What is the remainder when 73 is divided by z?
35
Let v be ((-22)/(-6) + -3)/(3/(-981)). Let i = v - -223. What is the remainder when 34 is divided by i?
4
Let i(r) = -2*r**3 - 38*r**2 + r + 66. Let w be 46/(-345) + 849/(-45). Calculate the remainder when 325 is divided by i(w).
43
Let f(x) = x**2 + 19*x + 30. Suppose -n - 1 + 3 = 0. Calculate the remainder when f(-20) is divided by 2*((-4)/n + 15).
24
Let u = -287 - -488. Let k = u - 188. What is the remainder when 55 is divided by k?
3
Calculate the remainder when 194350/65 + -14 + 2 is divided by 3.
2
Let w = 41 - 41. Suppose w = -2*z + 6, -2*v = -2*z - 6 + 2. Suppose 25 = 3*m - 0*f - 2*f, -3*m = -v*f - 40. Calculate the remainder when 22 is divided by m.
2
Let s = 1604 + -1396. Calculate the remainder when s is divided by 2.
0
Suppose -197*k + 12609 = -14521 + 7824. What is the remainder when 3232 is divided by k?
96
Let p(x) = 62*x + 38. What is the remainder when p(8) is divided by 15?
9
Let q(x) = -x**3 - 80*x**2 - 250*x + 216. What is the remainder when q(-77) is divided by 112?
111
Let m(x) = x**3 + 32*x**2 + 153*x - 46. Let a = 43 + -184. Calculate the remainder when ((-8)/(-12))/((-1)/a) is divided by m(-26).
30
Calculate the remainder when 2666 is divided by 616/396 + (-508)/(-9).
56
Let y(j) = 8*j + 37. Let q be (6/9)/((-12)/54). Calculate the remainder when 220 is divided by y(q).
12
Suppose 11218 = 5*r + 3*l, -46*r + 2*l = -45*r - 2241. Calculate the remainder when r is divided by 16.
3
Suppose l + 477 - 5789 = 3*p, -5307 = -l + 4*p. Calculate the remainder when l is divided by 82.
79
Suppose 5*a + j = 190, 8*a - 10*a + 5*j + 103 = 0. What is the remainder when 259 is divided by a?
25
Suppose 3*s + 3*r - 171 = 0, -2*r + 173 = 4*s - 65. Suppose 67*w = w - 256*w + 58604. Calculate the remainder when w is divided by s.
58
Let c(i) be the third derivative of -i**4/6 - 20*i**3/3 + 34*i**2. Let v be c(-7). What is the remainder when 3 is divided by (20/v)/(-1)*3 + -2?
0
What is the remainder when 554 + 1 + -8 + 11 + -16 + 9 is divided by 138?
137
Calculate the remainder when ((-65)/20 - -2)/((-24)/45408) is divided by 183.
169
Let p be ((-200)/(-30))/((-2)/(-27)). Let s = 144 - p. What is the remainder when s is divided by 25?
4
Let o(t) = t**3 - 17*t**2 - 3*t + 41. Let d be o(17). Let w = d - -1. Let p(z) = z**3 + 8*z**2 - 11*z + 4. What is the remainder when 131 is divided by p(w)?
21
Suppose u - 533 = -3*g, g + 0*g = -2*u + 176. Suppose -48 = -5*c - 33. Suppose c*s = -a + 93, -26 = -3*a - 17. What is the remainder when g is divided by s?
28
Let v(b) = -75*b + 373. Calculate the remainder when v(0) is divided by 181.
11
Suppose -2*l = -4, -2*b + 2*l + 6 = -4. Suppose -4*v - o = -182, b*v + 2*o - 226 = 2*v. Suppose -4*i + 31 = -17. What is the remainder when v is divided by i?
10
Let y(h) be the second derivative of h**4/12 + 2*h**3/3 - 5*h**2/2 - 3*h. Calculate the remainder when (-129 - (0 - (0 + -1)))*(-63)/105 is divided by y(-7).
14
Suppose 0 = -3*r + 2*p + 36, -3*r + 114 = -16*p - 6. What is the remainder when r is divided by 4?
0
Let a = 1667 + -1476. What is the remainder when a is divided by 42?
23
Let s be 4/8*-6 - (1 + -19). Let v be (-3 + s)/2 - (3 + 0). Suppose 328 = v*p + 5*p. Calculate the remainder when p is divided by 15.
11
Suppose -5*z - 4 = 1. Suppose -476 = 26*n - 19*n. What is the remainder when 31 is divided by n/(-16)*(z + 5)?
14
Calculate the remainder when 250 is divided by 0 + -5 - (-10)/5 - (-82 + -5).
82
Let r = 29380 + -29377. Calculate the remainder when 768 is divided by r.
0
What is the remainder when 150/(-225)*2/4*-615 is divided by 196?
9
Suppose 3*a - 173 = -l, 70*a - 426 = -2*l + 74*a. What is the remainder when 20090 is divided by l?
193
Suppose -2*t = -i + 105, -7*t - 105 = -i - 10*t. Let u = -92 + i. Let x = -65 + 115. Calculate the remainder when x is divided by u.
11
Suppose -4*z = 2*z - 30. Suppose 15*l + 47 = 16*l. What is the remainder when l is divided by z?
2
Suppose 3*w + w = 68. Let h(v) be the first derivative of -5*v**2 - 47*v + 5. What is the remainder when h(-13) is divided by w?
15
Suppose -3*c + 105 = -0*c. Suppose 0 = -2*p - 2*t + 12 - 4, 5*t - 20 = 5*p. Suppose 5*s - 45 = -p*s. What is the remainder when c is divided by s?
8
Suppose 30*q + 80*q - 4617 = -61*q. Calculate the remainder when 50 is divided by q.
23
Let u(j) = -6*j - 3. Let y be u(-1). Let p(k) = -13*k**3 + 5*k + 4*k + 15*k**2 + 14*k**3 + 35 + y*k. What is the remainder when 184 is divided by p(-14)?
58
Suppose 27130*r = 27122*r + 6896. Calculate the remainder when r is divided by 21.
1
Let g(w) = -w**2 - 14*w + 16. Let k be g(1). Calculate the remainder when (-2)/(-7) + (-1228)/(-14) is divided by (24/84)/(k/63).
16
Let j = -33 - -48. Suppose -25 + 45 = 5*n. Suppose 9*d = 10*d, n*p + 2*d - 168 = 0. What is the remainder when p is divided by j?
12
Let h(o) = o**3 - 8*o**2 - 7*o - 3. Let r be h(7). Let a = -561 - -678. Let s = r + a. Calculate the remainder when 63 is divided by s.
15
Suppose -g + 4*