be -11 + 8 + 2*(-26)/4. Let u = 6 + -3. What is the remainder when (18/x + 1)*-10*8 is divided by u?
1
Suppose 2*b + 2*g = 2, -5*b - 4 + 25 = g. Let r(s) = s**2 - 10*s + 22. What is the remainder when r(8) is divided by b?
1
Suppose 3*b - 4*b + 11 = 0. Let m = b + 9. What is the remainder when 58 is divided by m?
18
Suppose -4*n + 39 = -4*v - 21, 3*v = -3*n + 33. Calculate the remainder when 64 is divided by n.
12
Let n(j) be the second derivative of -j**3/6 + 25*j**2/2 + 5*j. Let m(d) = d**2 - 2*d + 4. Let k be m(4). What is the remainder when n(k) is divided by 5?
3
Suppose -3*y = -4*z + 27, 0 = 5*z - y - 3*y - 33. Let g = 1 + -3. Let m(f) = -12*f. Calculate the remainder when m(g) is divided by z.
6
Let u(c) = 3*c**2 + 5*c + 7. Suppose 74*a + 28 = 76*a. Calculate the remainder when u(3) is divided by a.
7
Let r(k) = 4*k**2 - 63*k + 221. Suppose 3*p = 468 + 18. Calculate the remainder when p is divided by r(4).
30
Let l = 25 - 15. Suppose s = 33 - 13. Let d = 9 + s. Calculate the remainder when d is divided by l.
9
What is the remainder when 51 is divided by (10 - -8)*3/2?
24
Let j(d) = d**3 + 3*d**2 - 2*d + 6. Let p be j(-6). Let q = p + 48. Let a = q + 116. Calculate the remainder when a is divided by 19.
17
Suppose -z + 27 - 6 = 2*u, 2*u - 9 = -5*z. Let s = u - 2. Suppose -4*m - 41 = -53. Calculate the remainder when s is divided by m.
1
Let s = 1469 + -1451. Calculate the remainder when 231 is divided by s.
15
Suppose 0 = -36*v + 35*v. Suppose v = r - 5*i - 34, -9 = 5*r - 4*i - 74. What is the remainder when 58 is divided by r?
4
Let w(d) = -21*d**3 - 2*d**2 - 3*d + 1. What is the remainder when 274 is divided by w(-1)?
21
Let j(r) = 94*r**2 + r. What is the remainder when j(-1) is divided by 70?
23
Let x = -83 + 56. Let s = 46 + x. What is the remainder when 54 is divided by s?
16
Suppose 0 = -m + 2, 0 = -5*r - 4*m + 32 + 136. Let w(i) = -i**2 + 12*i + 30. Calculate the remainder when w(8) is divided by r.
30
Let q = -282 + 299. What is the remainder when 50 is divided by q?
16
Let n(v) = 32*v**3 + 2*v**2 - v. Let j be n(1). Suppose 129*o + 504 = 153*o. Suppose -j = -s - o. Calculate the remainder when s is divided by 3.
0
Let s(d) = -6*d + 34. Calculate the remainder when s(-5) is divided by 19.
7
Let k(w) = 9*w - 19. Suppose 28*b - 500 = -164. Calculate the remainder when k(7) is divided by b.
8
Suppose 0 = 2*p + b - 547, 0*p + 1354 = 5*p - 2*b. Suppose -4*i = -2*f - p, i - 152 = -i + 5*f. Calculate the remainder when i is divided by 17.
15
Suppose -3*w + 19 = -8. Let n be (w/(-4))/((-9)/24). Suppose 5*b + 238 = 3*x, n*b + 380 = 5*x + b. What is the remainder when x is divided by 18?
17
Suppose -f + 22 = f. Let n = 1554 + -1511. Calculate the remainder when n is divided by f.
10
Let d = -170 - -88. Let h = -55 - d. Calculate the remainder when h is divided by 10.
7
Suppose 544 = 14*q - 534. Calculate the remainder when q is divided by 39.
38
Let x = 160 - 102. What is the remainder when x is divided by 12?
10
Let f = -70 + 119. Suppose 6*o = 3*o - 3. What is the remainder when f is divided by (2 + (-4 - o))*(-12 - 1)?
10
Let a be (1175/141)/(2*2/84). Suppose -8*m + 3*m = -a. What is the remainder when m is divided by 9?
8
Calculate the remainder when ((-2)/10)/(-2 - 1458/(-730)) is divided by 9.
1
Let b be 6/(-9)*-3 - (-2)/(-1). Calculate the remainder when 1 - ((-25 - b) + -2 + 1) is divided by (5/(-3))/((-2)/12).
7
Suppose 6 = -2*d, -4*z + 6*z - d - 213 = 0. What is the remainder when z is divided by (-245)/(-9) - (-12)/(-54)?
24
Let a(k) = -6*k + 94. Calculate the remainder when 455 is divided by a(3).
75
Suppose -63 = -29*y + 22*y. Calculate the remainder when 463 is divided by y.
4
What is the remainder when (-426)/(-2)*(7 + 160/(-24)) is divided by 18?
17
Let x be 6/4*6/(-27)*-33. Suppose -45 = -x*h + 76. Suppose -3*g = -8*g + 2*j + 35, -g = -4*j - 7. Calculate the remainder when h is divided by g.
4
Let p = 1141 - 1100. What is the remainder when 123 is divided by p?
0
Let h(j) = -j - 4. Let z be h(-7). Suppose 50 = 5*g - 5*w, -4*g + 18 = -3*g - z*w. Let b(t) = t**2 - 5*t - 10. What is the remainder when g is divided by b(7)?
2
Suppose -108 = -4*j + 3*n, -n + 162 = 5*j + 2*n. What is the remainder when 208 is divided by j?
28
Suppose -16*g + 13*g = -30. What is the remainder when 99 is divided by g?
9
Let w be (2 - 0 - -2) + -2. Let o(q) = q**2 + 7*q - 118. What is the remainder when o(9) is divided by 1 + (-8*w)/(-2)?
8
Let r = -4 - -11. Suppose 3*j - d - 26 = 0, -j + 3*d + 2*d + 18 = 0. Calculate the remainder when r is divided by 30/j - 2/(-8).
3
Suppose -10 = 2*u - 4*u. Suppose -u*z = -10*z + 40. Calculate the remainder when 17 is divided by z.
1
Let m = -496 + 895. What is the remainder when m is divided by 50?
49
Let t(b) = 3*b + 283. Calculate the remainder when t(-26) is divided by 47.
17
Let h be -9*(10 + -7)*(-10)/18. Suppose 3*f - 2*f = h. Calculate the remainder when f is divided by 4.
3
Let a(d) = -d + 19. Let r(t) = -8*t + 2. Let s be r(-3). Let x = -18 + s. What is the remainder when a(6) is divided by x?
5
Suppose -1699 = -4*m - 3*u, 2*u = m - 2*u - 420. What is the remainder when m is divided by 61?
58
Let f(w) = -w**3 + 45*w**2 + 147*w + 160. What is the remainder when f(48) is divided by 72?
16
Let x = -4 + 8. Suppose 0*n - x*n + 4 = 0. Calculate the remainder when (6/n)/(-3) + 43 is divided by 22.
19
Let l = 97 + -95. Suppose -12*t = l*t - 294. Calculate the remainder when 119 is divided by t.
14
Calculate the remainder when 1945 is divided by (-101)/(-9) + (12 - (-110)/(-9)).
9
Let q(l) = l**3 - 8*l**2 + 4*l - 17. Let p be q(7). Let z = p - -74. Calculate the remainder when z is divided by 13.
10
Let l be -3 + -12*(-6 + 2). Suppose -3*k + l = -78. Calculate the remainder when k is divided by 11.
8
Let m = 120 - 115. Suppose 2*l + 0*l - 2*s = 102, 4*l - m*s - 201 = 0. What is the remainder when l is divided by 8?
6
Suppose 926*v = 934*v - 1320. What is the remainder when v is divided by 24?
21
Let k(u) = -2*u**2 - 32*u - 7. Suppose 45 = -3*p + p - 3*y, 3*p - 3*y + 30 = 0. What is the remainder when k(p) is divided by 9?
5
Let s(f) = -7*f**3 - 5*f**2 + 2*f. Let h be s(-5). Let i = h - 489. Suppose -3*d + i - 77 = 0. Calculate the remainder when d is divided by 15.
13
Suppose 4*h - 25 = b - 45, b = -2*h + 20. Calculate the remainder when 456 is divided by b.
16
Let l(k) = 12*k**2 + k + 2. Let y be l(-2). Let j = 61 - y. What is the remainder when 115 is divided by j?
11
Let j = -58 - -223. Let n = -105 + j. Calculate the remainder when n is divided by 25.
10
Suppose -111 = -2*k - k. What is the remainder when 442 is divided by k?
35
Suppose -13*n + 259 = 2*v - 12*n, 0 = -v - n + 129. Calculate the remainder when 386 is divided by v.
126
Suppose g = -0*g + l - 55, -5*g - 5*l = 265. Let o = 136 + g. Calculate the remainder when o is divided by 21.
19
What is the remainder when ((-2)/3)/((-14)/3563)*3 is divided by 86?
79
What is the remainder when 127 is divided by (-11)/((-11)/21) - -5?
23
Suppose 2*d - 2 = 4*n, -n = 2*n + 5*d - 18. Calculate the remainder when 72/10 - n/5 is divided by -2*(0 + (-3)/2).
1
Calculate the remainder when 34957/169 + -17 + (-2)/(-13) is divided by 32.
30
Suppose j + 93 = 3*m - 0*j, -j = -m + 33. What is the remainder when 37 is divided by m?
7
Let q(y) = 4*y**2 - 3*y - 4. Let x be q(-1). Suppose 2*b + 3 = x*b. Let r(h) = h**3 - 4*h**2 + 3*h + 1. What is the remainder when 2 is divided by r(b)?
0
Let z(b) = -4*b + 5. Let g be z(-17). Suppose -1 = -2*p + g. Calculate the remainder when 147 is divided by p.
36
Let b(t) = t**3 + 6*t**2 - 2*t - 9. Let n be b(-6). Suppose -n + 39 = 3*h. Let j = 17 - h. What is the remainder when 13 is divided by j?
3
Let o(y) = 6*y - 8. Let u be o(6). Let m = u + -9. Calculate the remainder when 36 is divided by m.
17
Suppose 270 = 2*j + 3*p, j = -2*j - 4*p + 405. Let x be (-4)/6*(-2 - 1). Suppose -x*q + 102 = q. Calculate the remainder when j is divided by q.
33
Let m be 18/63 + 122/14. Suppose -3*v = -2*v - m. What is the remainder when 34 is divided by v?
7
Calculate the remainder when 23 is divided by (1/(-4))/((-33)/1188).
5
Suppose 2*r + 3*r = -2*k + 263, -5*k + 122 = 2*r. Suppose 0 = -5*a - 1 + r. Calculate the remainder when 11 is divided by 