s the remainder when k*(-4 + 2 + -34) is divided by 25?
22
Suppose -5*p + 16 + 10 = -4*i, 5*p + 10 = -5*i. Suppose -p = 7*b - 8*b. What is the remainder when 53 is divided by -2 + b - -3*6?
17
Suppose -5*h = -10*h + 550. What is the remainder when ((-276)/10)/((-44)/h) is divided by 24?
21
Suppose 4*i - 8 = 12. Let j(y) = y**2 + 11*y + 9. What is the remainder when 6*i*(-24)/(-18) is divided by j(-12)?
19
Let z = 23 + -63. Let a be z + (5 - (-1 + 5)). Let j = -23 - a. What is the remainder when j is divided by 9?
7
Let p(f) = f - 8. Let l be p(0). Let q = l - -37. Let a = 49 - q. Calculate the remainder when a is divided by 7.
6
Let w(v) = v**3 - v**2 - 2*v + 13. Calculate the remainder when 38 is divided by w(0).
12
Let s be (12/(-9))/(3/(-108)). Suppose -5*a + 3 = s. What is the remainder when 24 is divided by 30/2 + 9/a?
10
Suppose -5*g = 2*l - 45, -2*g - g - 3 = 0. Suppose 6 + 66 = 3*y. What is the remainder when y is divided by (-16)/12 - l/(-3)?
3
Let x(u) = 4*u - 6. Let s = -16 - -18. Suppose 89 + 27 = s*v + 4*w, -5*w = -5*v + 365. Calculate the remainder when v is divided by x(6).
14
Let q = -57 - -108. Calculate the remainder when 184 is divided by q.
31
Let n = 9 - 8. Suppose -4*z = p + 2*p + 30, -p + n = 5*z. What is the remainder when 55 is divided by 4/p - 135/(-7)?
17
Let d(z) = -z**3 + 22*z**2 - 17*z - 21. Let s be d(21). What is the remainder when 118 is divided by (-5 + 2)/((s/120)/(-7))?
38
Let p be (2/3*1)/(4/6). What is the remainder when 729/45 - p/5 is divided by 15?
1
Calculate the remainder when 79 is divided by (-128)/(-8) - (-28)/(-4).
7
Suppose 7*x - 350 = 56. Calculate the remainder when x is divided by 16.
10
Suppose 0 = -16*l + 907 - 59. Calculate the remainder when 316 is divided by l.
51
Suppose n + 3*b - 19 = -0*n, 3*n = b + 7. Suppose -566 = -5*r + n*t - 6*t, -9 = -3*t. Calculate the remainder when r is divided by 38.
36
Let q(t) = -4*t - 6. Let w be -4*(-3)/(-6) + -3. Calculate the remainder when 41 is divided by q(w).
13
Suppose -2*d + 333 + 161 = 0. Calculate the remainder when d is divided by 6.
1
Suppose 3*o = o. Suppose -4*t = -o*t. Suppose t = 3*s - 44 - 16. What is the remainder when 78 is divided by s?
18
Let u = 4 - 3. Let b = u + -17. Let j = 21 + b. Calculate the remainder when 11 is divided by j.
1
Suppose 3*j - 10 = j. Suppose -j*y + 3*y = 2*m + 18, -13 = 2*y + m. What is the remainder when 1152/20 - y/10 is divided by 15?
13
Suppose 3*v - 24 = 27. Let r be (6 - (-1 + 3 + 2))/1. Suppose -3*i - 264 = -4*y, r*i - 7 = y - 73. What is the remainder when y is divided by v?
15
Suppose -h + b = -4, -27*h + 22*h = 5*b. Calculate the remainder when h is divided by 2.
0
Let k(x) = -x**3 + 10*x**2 - 16*x + 12. What is the remainder when 393 is divided by k(8)?
9
Let o(a) = -a**2 + 14*a - 37. Let b be o(5). Suppose -5*l = -b*l + 120. Calculate the remainder when 117 is divided by l.
37
Suppose -j = 4*v - 214 + 11, 3*j + 91 = 2*v. Suppose 39 = -250*s + 253*s. Calculate the remainder when v is divided by s.
11
Suppose -j = -4*j + 27. Let w be ((-138)/15)/((-4)/20). Let n = w - 22. What is the remainder when n is divided by j?
6
Let g(w) = -3*w**3 - 3*w**2 - w + 1. Let b be g(-2). Let l(j) = j**3 - 14*j**2 - 14*j + 8. What is the remainder when 45 is divided by l(b)?
22
Let b(p) = 58*p + 14. Let d be b(3). Suppose 0 = -9*x + 613 + d. What is the remainder when x is divided by 30?
29
Let c(b) be the third derivative of -b**5/60 - b**4/12 + 2*b**2. Let t be c(-4). Calculate the remainder when (t/(-5))/(2/40) is divided by 17.
15
Let p(a) be the third derivative of a**5/60 - a**4/24 + 23*a**2. What is the remainder when p(-1) is divided by (-4)/3*9/(-6)?
0
Suppose -2*t = -4*r - 24, 5*t - 3*t + 2*r - 36 = 0. Suppose t = 7*d - 12. Let k(v) = -4*v - 5. Calculate the remainder when k(-6) is divided by d.
3
Suppose 0*f = 3*f - p - 1043, -5*f + 1725 = 5*p. What is the remainder when f is divided by 58?
57
Suppose 43*x - 28*x - 840 = 0. What is the remainder when 221 is divided by x?
53
Let l(d) = d**3 + 7*d**2 - 3*d - 7. Let w be l(-5). Let b = -38 + w. Calculate the remainder when 36 is divided by b.
16
Let z = 398 + -385. What is the remainder when 90 is divided by z?
12
Let m(u) = u**3 - 11*u**2 + 2*u - 7. Let f be m(10). Let c = f - -170. What is the remainder when c is divided by 43?
40
Let p = -9 + 34. Calculate the remainder when 122 is divided by p.
22
Let m = -223 - -241. Calculate the remainder when 208 is divided by m.
10
Calculate the remainder when 134 is divided by (-43 - (0 - 1))/(90/(-60)).
22
Suppose 0 = 5*f - 9*f + 172. Suppose 4*j - 12 = 0, -5*k + 84 = -j + 4*j. Suppose 3*d - 4*d + k = 0. Calculate the remainder when f is divided by d.
13
Let l(z) = -7*z**3 + z**2 + z. Let q be l(-1). Let h be -26*q/(28/(-40)). Let n = h + -173. What is the remainder when n is divided by 30?
27
Let r = 177 - 170. What is the remainder when r is divided by 9/(-2)*(-4)/6?
1
Let f = -101 + 125. Calculate the remainder when 120 is divided by f.
0
Let g(s) = -5*s**3 - 38*s**2 - 2*s - 62. Calculate the remainder when 651 is divided by g(-8).
77
Suppose 30*t - 24 = 27*t + 4*p, -5*t = -3*p - 29. Let l = 4 - -5. What is the remainder when l is divided by t?
1
Suppose 2*o + 9 = -4*z - 1, 2*o - 4*z + 34 = 0. Let n = o - -17. What is the remainder when n is divided by 3?
0
Suppose -2*t = -2*k - 44, -67 = -9*t + 5*t - 3*k. What is the remainder when 54 is divided by t?
16
What is the remainder when 6/(-10) - (-46)/10 - -162 is divided by 56?
54
Let b = 512 + -438. Calculate the remainder when 516 is divided by b.
72
Suppose -8 + 2 = -3*v. Let x = 208 + -207. What is the remainder when 17 is divided by (x - v)*(2 + -5)?
2
Let j = 17 - 13. Suppose n = -j*g + 296, 3*g + 2*g - 370 = -n. Calculate the remainder when (g/(-3))/(18/(-27)) is divided by 8.
5
Suppose 43*o = -3*q + 42*o + 346, -2*o - 127 = -q. What is the remainder when q is divided by 41?
35
Let c(z) be the first derivative of -z**3/3 + 13*z**2/2 - 10*z - 7. Suppose 0 = -6*w + 35 + 13. Calculate the remainder when c(8) is divided by w.
6
Calculate the remainder when 25 is divided by 3 + (3 - 1)*11/22.
1
Let f(z) = 14*z - 3. Let j(b) = -41*b + 10. Let x(g) = -17*f(g) - 6*j(g). Suppose -8*u + 42 = -5*u. What is the remainder when x(6) is divided by u?
11
Let q = 13 + -42. What is the remainder when 86 is divided by 5 + (-3 - (q - -2))?
28
Let f = 1898 + -1870. Let i = 19 + -13. What is the remainder when f is divided by i?
4
Suppose 3*u + 17 = -19. Suppose -f - 3*p + 7 = 0, 0 = 2*p - 1 - 5. Calculate the remainder when 6 is divided by ((-1)/f)/((-3)/u).
0
Let m(y) = -9*y - 101. Calculate the remainder when m(-24) is divided by 20.
15
Let l = 94 - 25. Suppose -5*y - 5 + l = -4*w, 4*y = -w + 47. What is the remainder when 106 is divided by y?
10
Suppose 0 = -14*t - 431 + 2377. Let j = 6 - -29. What is the remainder when t is divided by j?
34
Let s(q) = q**2 - 3*q + 7. Calculate the remainder when 373 is divided by s(5).
16
Let s(u) = -u**3 + 2*u**2 + 7*u + 2. What is the remainder when 179 is divided by s(-3)?
23
What is the remainder when (-344)/(-28) + 4 - (-10)/(-35) is divided by 9?
7
Let v = -11924 - -11933. Suppose 0 = 2*y + y - 4*u - 40, 0 = -4*y + u + 49. Calculate the remainder when y is divided by v.
3
Let y(j) = 3*j**2 - 3*j - 4. Suppose 128*q - 18869 = -0*q + 1483. What is the remainder when q is divided by y(4)?
31
Let w(y) = 2*y**2 + 4*y + 26. What is the remainder when w(9) is divided by 12?
8
Let u be -4 + (-13)/((-13)/6). Let l(i) = i**2 + 2*i + 3. Let x be l(-3). Let o = u + x. Calculate the remainder when 23 is divided by o.
7
Suppose -3*b = 7 - 46. Calculate the remainder when 193 is divided by b.
11
Suppose -9*w = -170 - 82. What is the remainder when 220 is divided by w?
24
Suppose 0*y - 5*y = -y. Suppose y = -m - 3*u + 9, 35 - 4 = 5*m + u. What is the remainder when 16 is divided by m?
4
Suppose 0 = -2*i + 5*p + 149, 0*p = -5*i + 2*p + 383. Let w(a) = -a**3 + 9*a**2 - 7*a + 12. Calculate the remainder when i is divided by w(8).
17
Suppose b + 5*f = -3 + 5, -3*f = -4*b + 100. What is the remainder when 38 is divided by b?
16
Let z(r) = -r + 45. Calculate the remainder when z(-21) is divided by (17/2)/(3/6).
15
Suppose 35 = 2*u + 5*a, u - 6 - 19 = -4*a