ulate the remainder when 222 is divided by q.
12
Let s(h) = 9*h - 2. Suppose 2*z - 7*z = 0. Suppose -n + z*n + 3 = 0. What is the remainder when s(n) is divided by 9?
7
Suppose -u - 152 = -173. Calculate the remainder when u is divided by 20.
1
Let n(u) = -u**3 - 6*u**2 - u + 4. Let m be n(-9). Suppose 0 = 4*d - 0*d + m. Let f = -37 - d. Calculate the remainder when 51 is divided by f.
24
Let m(b) = -b**3 - 21*b**2 + 99*b. What is the remainder when m(-25) is divided by 4?
1
Suppose -w - 28 + 114 = 0. Let m = -80 + w. Calculate the remainder when 10 is divided by m.
4
Suppose -5*j + 5 = 0, 5*z = -3*j - 471 + 2279. Calculate the remainder when z is divided by 28.
25
Let b = 337 + -307. Calculate the remainder when 357 is divided by b.
27
Suppose 143*g = 154*g - 121. Calculate the remainder when 862 is divided by g.
4
Suppose -9*x - 31*x = -127120. What is the remainder when x is divided by 15?
13
Suppose 2*a = 5*o - 30, o - 6 = -a - 0. Let i = -640 - -650. Calculate the remainder when i is divided by o.
4
What is the remainder when 101 is divided by 25 - (-6 - (-7)/14*10)?
23
Let i(b) = -b**2 - b. Let x be i(0). Suppose x = -6*o + o + 75. Let l(k) = k**3 - 9*k**2 + 6*k - 12. Calculate the remainder when l(9) is divided by o.
12
Let l(d) = -d**2 + 6*d - 10. Let c be l(7). Let u = 16 + c. Calculate the remainder when 49 is divided by (-75)/(u - 2) + 0.
24
Suppose 6*d = -4*h + 7014 + 3954, -4*d - 13664 = -5*h. What is the remainder when h is divided by 83?
80
Let v(j) = 42*j + 1784. Let p(i) = i**3 + 7*i**2 - 7*i + 8. What is the remainder when p(-7) is divided by v(-42)?
17
Calculate the remainder when 87 is divided by (-14)/7*-29 - 6.
35
Let j(h) = 15*h + 139. What is the remainder when 270 is divided by j(-7)?
32
Let i = -32 - -53. Calculate the remainder when ((-52)/7)/((-6)/i) is divided by 9.
8
Suppose 2*r = -o + 45 + 69, -2*r + 114 = 4*o. What is the remainder when 220 is divided by r?
49
Let j(y) = y**2 - 2*y - 1. Let z be j(-3). Suppose 5*t - 124 = -z. What is the remainder when t is divided by 12?
10
Suppose 9*g + 3*t - 21 = 6*g, 3 = -3*g + 5*t. Calculate the remainder when 175 is divided by g.
3
Suppose m + 4*m - 20 = 0. Suppose -2*p - g = 3*g - m, 0 = 4*p - 4*g - 8. Suppose 0*f = p*f - 30. What is the remainder when f is divided by 8?
7
Suppose 0 = 2*i + 5*s - 352, 45 = i + 5*s - 121. Calculate the remainder when 49 is divided by 2511/i + 1 + (-1)/2.
7
Suppose -16 = 14*d - 18*d. What is the remainder when 156 - (-3 + d + 1) is divided by 39?
37
Let u(p) = -9*p + 1. Let x be u(2). Let a = -20 - x. Calculate the remainder when 40 is divided by (a - -2)/(1/(-15)).
10
Suppose -4*a - 50 = 3*q, 3*a - 12 = -3*q - 57. What is the remainder when (4/q)/(3/(-510)) is divided by 23?
22
Suppose 0 = 5*k + n - 40, -k + 4*n - 3 = 2*n. Calculate the remainder when 23 is divided by k.
2
Let k(w) = 3*w**2 - 4 + 2*w - 4*w**2 - w**3 + 5*w**2. Let a be k(3). What is the remainder when a/((-24)/9 - -3) is divided by 12?
9
Let o be (10/5 + -3)*6. What is the remainder when 1375/33 - (-4)/o is divided by 11?
8
Let v(o) = o**2 + 4*o - 3. Let x be v(2). Suppose 0*m = 5*m + 20. Let w = x + m. Calculate the remainder when 9 is divided by w.
4
Suppose 4*j - 478 = 2*h, 0 = -4*j + 2*h + 2*h + 488. Suppose -4*y = -j + 9. Calculate the remainder when y is divided by -1*14/(-1)*1.
13
Suppose 4*w - 13*w + 162 = 0. Calculate the remainder when 250 is divided by w.
16
Let g(m) = -2*m + 21. What is the remainder when 64 is divided by g(8)?
4
Suppose 0 = -5*a + 3*z + 113, 115 = -39*a + 44*a - 5*z. What is the remainder when 55 is divided by a?
11
Suppose 7 = 7*w - 7. Calculate the remainder when w*-134*3/(-12) is divided by 17.
16
Suppose 2 + 8 = -2*d, -5*q = -5*d - 730. Let j(c) = -2*c + 5. What is the remainder when q is divided by j(-12)?
25
Let p(c) = 18*c + 288. Calculate the remainder when p(20) is divided by 130.
128
Suppose 5*b = -4*l - 575, l = -3*b + 5*l - 313. Let q = -79 - b. Calculate the remainder when 63 is divided by q.
31
What is the remainder when (-6)/9 - (-334)/6 is divided by ((-21)/9)/(14/(-84))?
13
Let v be 117/7 - (-18)/63. Suppose -3*w + v = -100. Suppose 0 = -5*j - 4*m + 20, 7 = -j - 2*m - m. What is the remainder when w is divided by j?
7
Let k = -87 + 95. Suppose -2*s + k = -66. Calculate the remainder when 70 is divided by s.
33
Let v = -1 + 13. Let j(b) = -2*b + 13. What is the remainder when j(-4) is divided by v?
9
Suppose -14*l + 336 = 2*l. Calculate the remainder when 116 is divided by l.
11
Let n(r) = -r + 8. Let u be n(10). Let s(v) = -22*v - 6. Calculate the remainder when s(u) is divided by 8.
6
Let k(j) = j**3 - 2*j**2 + 2*j. Let l(t) = -3*t**3 + 4*t**2 - 5*t - 1. Let h(u) = -5*k(u) - 2*l(u). Calculate the remainder when h(3) is divided by 16.
15
Suppose -v = -6*v + 70. Let z = 0 - -19. What is the remainder when z is divided by v?
5
Let t = -385 - -416. Suppose -b - 192 = 2*b. Let p = 124 + b. Calculate the remainder when p is divided by t.
29
Let a(d) = -d**3 - 2*d**2 + 2*d + 28. Calculate the remainder when a(-5) is divided by 23.
1
Let l(v) = -v**2 - 4*v + 2. Let m be l(-3). Suppose 0 = -5*z - w + 2*w + 260, -2*w + 260 = m*z. Calculate the remainder when z is divided by 14.
10
Let f = 28 - 19. Suppose -2*c = -f*c. Suppose -3*d + 18 = 5*v - 28, c = 5*d + 3*v - 66. What is the remainder when 22 is divided by d?
10
Let p be (22 - 27)*(-6)/5. Suppose 2*o - 36 = -s, 5*o + p*s - s - 85 = 0. What is the remainder when 74 is divided by o?
17
Let j(v) = 2*v**3 - 6*v**2 + 8*v - 8. What is the remainder when 137 is divided by j(3)?
9
Let s = -304 - -307. What is the remainder when 293 is divided by s?
2
Suppose 5*y = 27 - 2. Let o = 47 + -6. Suppose -i + 3*z - 2*z + o = 0, 0 = 3*i + y*z - 155. What is the remainder when i is divided by 24?
21
Suppose -5*o = -0*o + 5, -2*v = -2*o + 118. What is the remainder when v/(-25)*(-30)/(-2) is divided by -2 + 9/(-6) + (-47)/(-2)?
16
What is the remainder when 141 is divided by ((-26)/14)/((-8)/56)?
11
Suppose -12 = -511*a + 510*a. What is the remainder when a is divided by 9?
3
Let y = 437 - 428. What is the remainder when 41 is divided by y?
5
Suppose -4*s - 5*z = -2 + 1, 4*s - 4*z + 44 = 0. Calculate the remainder when 37 is divided by -1 + 1 - 114/s.
18
Let p(c) be the second derivative of 6*c**2 + 4*c - 3/2*c**3 + 0 - 1/12*c**4. What is the remainder when 47 is divided by p(-9)?
11
Let s(f) = -f**3 - 142*f**2 - f - 130. Suppose 8 = 2*u - 8. What is the remainder when s(-142) is divided by u?
4
Suppose 1032*o - 1010 = 1022*o. What is the remainder when o is divided by 99?
2
Let c = -314 + 330. What is the remainder when 31 is divided by c?
15
Let w(n) = -30*n + 9. Let y be w(-7). Suppose y - 65 = 7*f. Calculate the remainder when 131 is divided by f.
21
Let i = 16 + -9. Let k(s) = -s**3 + 5*s**2 + s + 8. Suppose -3*l = -l - 10. Calculate the remainder when k(l) is divided by i.
6
Let r be 16/(-6)*(78/12 + -5). Calculate the remainder when 60/8 - r/(-8) is divided by 1.
0
Let i(u) = -2*u - 5. Let a be i(-6). Suppose a*n + 76 = 9*n. What is the remainder when n is divided by 4*-5*(-2)/4?
8
Let f = -170 - -269. Let n = f + -89. Calculate the remainder when 95 is divided by n.
5
What is the remainder when 51 is divided by (0 + 102/36 + -3)*-6?
0
Suppose -2*j = 5*q + 66, q = 2*q + j + 15. What is the remainder when 84 is divided by (q - 5)/(1 + -2)?
16
Let z = 10 - 105. Let g = -74 - z. Calculate the remainder when 60 is divided by g.
18
Let k = -20 + 97. Calculate the remainder when k is divided by 1/4 - 158/(-8).
17
Suppose -4*l + 12*l = 3736. What is the remainder when l is divided by 52?
51
Let h(t) = -t**2 + 21*t - 14. Calculate the remainder when h(10) is divided by 69.
27
Let s be -6*(-3 - (-20)/8). Suppose 1 = s*b + c, -b - 3*b + 3*c = 16. What is the remainder when 14 is divided by b/(-3)*(25 - 1)?
6
Suppose -2*l = 5*p - 45, 5*l - 72 = -2*p + 3*p. What is the remainder when l is divided by (-12)/8*26/(-3)?
2
Let p = -670 + 1057. What is the remainder when p is divided by 191?
5
What is the remainder when 1618 is divided by (112 - (9/(-3) + 6)) + -1?
106
Let s(o) = 43*o**2 + 5*o - 3. Let q be s(3). Let y = q + -274. Calculate the remainder when y is divided by 32.
29
Suppose 75 - 772 = -41*i.