 - 2. Let p = 82 + -76. Calculate the remainder when g(2) is divided by (22/p)/(-4 - (-52)/12).
9
Let g(c) = -c**3 + 4*c**2 - 4*c + 2. Let a be g(2). Suppose -a*w + 27 = w. Let o(i) = 9*i - 289. Calculate the remainder when o(38) is divided by w.
8
Let p = 50 + -47. Suppose -5*s = y - 22, -4*s - p*y + 8*y = -35. Suppose m - 82 = 2*g - g, 2*g = s*m - 398. What is the remainder when m is divided by 27?
24
Let q(w) = 2*w + 34. Let o be q(-16). Suppose -o*m + f = -m - 6, m - 4*f + 9 = 0. Calculate the remainder when 40/3*12/5 is divided by m.
10
Let m = 15 - 7. Let u = -19 - -89. Suppose -67*p + 66*p = -u. What is the remainder when p is divided by m?
6
Let j = 57656 - 57632. Suppose 5*c - 22 = -7, -n - 2*c = -97. Calculate the remainder when n is divided by j.
19
Let y be 8109/(-21) - (-3 + (-120)/(-42)). Let h = y + 401. What is the remainder when 36 is divided by h?
6
Let c = -512 + 450. Let v = c - -82. Calculate the remainder when v is divided by 19.
1
Suppose 572*z - 586*z = -196. Calculate the remainder when 2028 is divided by z.
12
Let w = 131 - 125. Suppose h + 198 = 3*k, 4*k + 7*h = w*h + 271. What is the remainder when k is divided by 134/4 - 1/(-2)?
33
Let i be -28 + -9*(-3)/9. Let r = i + 62. Suppose 13*l - 12*l - 144 = 0. Calculate the remainder when l is divided by r.
33
Suppose -586 + 106 = 12*u. Let c = 48 + u. Suppose 2*g - 34 = -c. Calculate the remainder when 51 is divided by g.
12
Let b = 3973 - 2723. What is the remainder when b is divided by 7?
4
Let a be 68/3 + (-2)/(-6). Let v(j) = j**2 - 61*j - 2262. Let b be v(-26). What is the remainder when a/(-2)*-4 - b is divided by 12?
10
Let x = -4443 + 4553. What is the remainder when 755 is divided by x?
95
Suppose -1672*t = -1696*t + 46752. What is the remainder when t is divided by 11?
1
Let f = 9345 + -9308. Calculate the remainder when f is divided by 12.
1
Suppose 0 = 4*z - 0*z - 1632. Suppose 5*d = -d + z. Suppose -2*v - 2*a = -148, -5*v - 3*a + d = -312. Calculate the remainder when v is divided by 16.
15
Let g = 3233 + -3233. Let y = -9 + 13. Suppose g = 3*a + 12, 2*a + 220 = y*i - 444. Calculate the remainder when i is divided by 15.
14
Suppose 2*x + 2*i - 6 = 0, -2*i - 3*i + 15 = -2*x. Suppose 7*y - 69 - 8 = x. Suppose y*t - 8 = 14. What is the remainder when 31 is divided by t?
1
Let d(a) = a**3 - 3*a**2 - 17*a + 47. What is the remainder when 203 is divided by d(5)?
11
Let x = 23 + 7. Suppose 18*y - 15*y = 1068. Let z = y + -238. Calculate the remainder when z is divided by x.
28
Let f = -6758 + 6845. What is the remainder when f is divided by 63?
24
Let l(f) = 17*f - 172. Let o be l(11). Suppose -o*a + 20440 = 5*a. What is the remainder when a is divided by 11?
10
Let k be 2418/91*(-10 + 3). Let s = k - -203. What is the remainder when 2/(-3) - (-196)/6 is divided by s?
15
Let o(z) = z**2 - 39. Suppose 4*g + 39 = 7*g. What is the remainder when o(g) is divided by 45?
40
Let n(q) = 112*q**3 + 3*q**2 - 10*q + 98. What is the remainder when n(5) is divided by 132?
131
Suppose 5*g = 4*v - 183, 6*v - 195 = v - 5*g. Let i = 15 + -11. Suppose i*o = -2*h + 46, 4*h + 6*o - 80 = 2*o. Calculate the remainder when v is divided by h.
8
Let b = -106 + 115. Suppose -9*c + 109 = 82. What is the remainder when b is divided by c?
0
Let w(m) = 3*m**2 - 252*m - 2098. Calculate the remainder when 815 is divided by w(-8).
45
Let r = -1439 - -1460. Let x be 54/(-4) - 2/4. Calculate the remainder when 14 is divided by (r/x)/((-3)/8).
2
Let w(l) = -21 - 24*l**2 - 6 - 24*l**2 + l**3 + 49*l + 4. Let i(u) = 2*u**2 + 8*u - 6. What is the remainder when w(47) is divided by i(-6)?
17
Suppose 4*s - 3448 = -4*o, 0 = -3*o - 5*s - 653 + 3231. Calculate the remainder when o is divided by 83.
36
Let k(b) = -b**3 - 37*b**2 - 5*b - 118. What is the remainder when 7636 is divided by k(-37)?
65
Let m(h) = -44*h - 72. Let a be m(4). Let u = 280 + a. Calculate the remainder when 189 is divided by u.
29
Let n be 10 - 1 - 5/(-5). Suppose 0 = -a - n + 15. Suppose x = -a*k + 325, -2*k - 6*x = -3*x - 117. Calculate the remainder when k is divided by 14.
10
Let d = -154 + 223. What is the remainder when 99 is divided by d?
30
Let y be (-150)/45*(-21 + 1 + -1). Let b = y + -34. What is the remainder when b is divided by 8?
4
Suppose 0*o - o = -r - 4, 4*r = -2*o - 34. What is the remainder when 35 is divided by 0 + 1 + (-6 - (r + -7))?
8
Let q(f) = f**2 + 19*f + 25. Let b be q(-14). Suppose -m - 94 = -4*m - 5*y, 4*m + 5*y - 127 = 0. Calculate the remainder when m is divided by 14/(-21)*b/10.
0
Suppose -9*i + 1472 - 1193 = 0. Suppose 2*c = 13 + 3. Let h = -4 + c. Calculate the remainder when i is divided by h.
3
Let l = 440 + -432. Let n = -12 + 35. Suppose 2*i - 3*i = -n. What is the remainder when i is divided by l?
7
What is the remainder when 9554/50 - 14/175 is divided by 32?
31
Let q = 37 + -37. Suppose 6*w - 123 - 255 = q. Suppose 4*y + 52 = 4*z, 3*z + 0*z = 5*y + 39. What is the remainder when w is divided by z?
11
Let r = 154 + -149. Let x(b) be the third derivative of b**4/8 + 13*b**3/6 + 7*b**2. What is the remainder when 55 is divided by x(r)?
27
Let l be (-20426)/(-30) - (-22)/165. Suppose 3*v - z - 1359 = -344, 0 = 2*v - 5*z - l. What is the remainder when v is divided by 10?
8
Suppose -843 = 176*h - 11931. Calculate the remainder when 391 is divided by h.
13
Let w = -489 - -474. What is the remainder when (w/(-25))/((-8)/(-800)) is divided by 25?
10
Suppose -76*p - 462 = -69*p. Let o = p + 139. What is the remainder when o is divided by 19?
16
Suppose -5*b = 4*o - 393, -8 = -10*o + 6*o. Calculate the remainder when 161 is divided by b.
7
Let b = 156 + -132. What is the remainder when 91 is divided by b/16*-38*(-3)/3?
34
Suppose 0 = o + 5*g + 15, o - 2*g = -4*o + 6. Suppose -2*v + f + 61 = 0, -20 = -v + 37*f - 33*f. Calculate the remainder when 127/(1 + o/3) is divided by v.
31
Suppose 27*w - 25*w - 112 = 0. Calculate the remainder when 95 is divided by 3/(2 - 105/w).
23
Let d(l) = 334*l + 3019. Let u = 44 - 12. Calculate the remainder when u is divided by d(-9).
6
Suppose 0*j + 3*j = -4*g - 732, -5*g - 233 = j. Let z = 317 + j. Calculate the remainder when z is divided by 42.
27
Let n(t) = -10*t**2 + 10*t - 9. Let b be n(4). Let v = -58 - b. Let c = v + -60. What is the remainder when c is divided by 7?
4
Let a(b) = 22 - 2*b + 18 - 59 + 17. What is the remainder when 22 is divided by a(-6)?
2
Suppose -5*w + 4*a - 6 = -14, -9 = -3*a. Calculate the remainder when 12/21 + 19838/98 is divided by w.
3
Suppose s + 1 = 6. Suppose s*z = -3*r + r + 273, 0 = -3*r - 3. What is the remainder when z is divided by (-150)/(-8) + (57/(-12) - -6)?
15
Suppose 4*a = v - a - 4, -5*v + 20 = 3*a. Suppose 0 = 4*z - 8, 4*h + v*z - 13 - 7 = 0. Calculate the remainder when 10 is divided by h.
1
Suppose -53 = -l - 3*w, -3*l + 142 = l - 2*w. Calculate the remainder when 15*8/(-72) - (-1135)/(-45)*-3 is divided by l.
36
Let q(w) = w**2 - 8*w + 21. Let u be q(3). Suppose -u*f - 3*f = -1224. Calculate the remainder when f is divided by 20.
16
Suppose 0 = -5*w - 5*m + 805, -10*w + 60*m = 64*m - 1658. What is the remainder when 1147 is divided by w?
133
Let k(s) = s**2 - 19*s + 64. Let n = -268 - -620. Suppose 0 = -7*l + 3*l + n. Calculate the remainder when l is divided by k(18).
42
What is the remainder when (-7946)/(-10) - (60/50)/(-1 - -3) is divided by 59?
27
Calculate the remainder when 30/80 - 573/(-8) is divided by 8.
0
Let r = 3916 + -3348. What is the remainder when r is divided by 22?
18
Suppose 0 = -5*r + 4*v + 165, -3*v + 14 = -30*r + 31*r. Calculate the remainder when (-335)/(-10) + (-3)/6 is divided by r.
4
Let y(u) = 2366*u + 530. What is the remainder when y(1) is divided by 38?
8
Suppose 174*p - 91430 = 13492. Calculate the remainder when p is divided by 100.
3
Let j = 3487 + -3462. Calculate the remainder when 468 is divided by j.
18
Let q(s) = s**2 + 3*s - 58. Suppose 0 = p - 2*p + 57. Let t = p - -1. Calculate the remainder when t is divided by q(7).
10
Let k(n) be the second derivative of 3/2*n**2 + 9*n + n**4 + 0 + 1/3*n**3. What is the remainder when k(-3) is divided by 12?
9
Let y(v) = 14*v**2 + 206*v - 427. What is the remainder when y(-28) is divided by 15?
11
Let g(m) = -5*m**2 - 267*m - 151. What is th