22*t + 11. Suppose 9 - 12 = -z. Let g be -4 - -10 - (-6)/z. Calculate the remainder when q(g) is divided by 31.
28
Suppose -25*v = -17*v - 1384. What is the remainder when 327 is divided by v?
154
Suppose 334*h = 428491 - 115199. Calculate the remainder when h is divided by 936.
2
Let r = 17606 - 17470. What is the remainder when 422 is divided by r?
14
Let o = -407 + 412. Suppose 0 = 4*i - 4*v + 11 - 3, 3*v = -3*i + 24. Suppose -i*y = y - 96. What is the remainder when y is divided by o?
4
Let b(n) = 33*n**2 + n - 2. Let c be b(1). Let q be (c/80)/(2/10). Suppose -q*m - 2*m = -64. Calculate the remainder when 76 is divided by m.
12
Suppose 5*m = -4*h + 74, -2*m - 60 = -4*h - 0*h. Let l(r) = 1040*r + h + 29 - 1047*r. What is the remainder when l(0) is divided by 10?
5
Suppose -6*q = 5*q - 506. Suppose 5*k + q = 3*i, -2*k + 4*k - 2 = 0. What is the remainder when i is divided by 9?
8
Let b(q) = -q**3 - 6*q**2 - 3*q - 7. Let y(l) = l**3 - 41*l**2 - 227*l - 58. Calculate the remainder when y(46) is divided by b(-6).
3
Calculate the remainder when 247 + 1 - (5 + -7) is divided by (5 - -37)*54/(-36)*-1.
61
Let i = 454 + -450. Suppose 4*s + 8*j - 136 = i*j, j - 4 = 0. Calculate the remainder when 385 is divided by s.
25
Suppose 155 = 4*b + b. Let c(w) = -w**3 - 14*w**2 + 12*w - 36. Suppose 0 = -9*o - 137 + 2. What is the remainder when b is divided by c(o)?
4
Let m(r) be the first derivative of 9*r**2/2 + 195*r - 430. Suppose 1 - 40 = -y. What is the remainder when m(-5) is divided by y?
33
Suppose -137 = 3*b - 4*k - 171, 4*b + 5*k = 4. Let w = 59 + -23. Calculate the remainder when w is divided by b.
0
Suppose -5*t + 4*y = -1453, 4*t - 1160 = 85*y - 81*y. Calculate the remainder when t is divided by 9.
5
Let r(w) = -2*w**3 + 15*w**2 + w + 5. Calculate the remainder when 237 is divided by r(7).
54
Suppose 0 = 4*j + 7 + 5. Calculate the remainder when 152 is divided by 2 + 18 + j + 9.
22
Suppose 10 = 2*a, 5*a + 927 = -3*k + 4537. Calculate the remainder when k is divided by 23.
22
Suppose -10 = 2*y, -16*y + 17*y + 21 = -4*a. Suppose 0*b = 3*b - 108. What is the remainder when 38/19*1*(-206)/a is divided by b?
31
Let w = -341 + 344. Let t(j) = 6*j**2 + 19*j - 42. Calculate the remainder when 411 is divided by t(w).
66
Let n be -123*(-20)/(-12) - (1 - 3). What is the remainder when (n + 0/(-2))*-1 is divided by 34?
33
Let o(n) = 16*n + 1. Suppose 4*d + 2 = -10. Let v be o(d). Let h = v - -56. What is the remainder when h is divided by 6?
3
Suppose 5*n - 4*o - 16 = 0, -6*n - 2*o = -n - 22. Suppose 64 = -5*d + 2*i + n, 5 = -d - i. Calculate the remainder when 32 is divided by 27/5 + ((-46)/d - 5).
2
Let z = -82 - -88. What is the remainder when 3 + (-1059)/(-18) - (-7)/42 is divided by z?
2
Let v = -13332 - -13355. Calculate the remainder when 265 is divided by v.
12
Let l = -412 - -296. Let b = 352 + l. Calculate the remainder when b is divided by 20.
16
Let k = -1929 + 3024. Suppose -4*i = -5*t - 9*i + k, 0 = t + 5*i - 223. Calculate the remainder when t is divided by 55.
53
Let s = 46576 - 46496. Suppose -2537 = -4*o + 3*c, -4*o + c = -4*c - 2527. What is the remainder when o is divided by s?
78
What is the remainder when ((-1024)/(-176) + 2/11)*(-49)/(-3) is divided by 77?
21
Let w = -1530 - -1577. Calculate the remainder when 5355 is divided by w.
44
Let u = -70 + 72. Suppose 3*t = 0, -4*d + 128 = -5*t + u*t. What is the remainder when 117 is divided by d?
21
Suppose 5*s = b - 11 - 7, 0 = 5*b - 4*s - 132. Let j(w) = -48*w + b*w + 22*w + 39. Calculate the remainder when 32 is divided by j(-6).
5
Suppose -436 = -6*w - 88. Let o = 76 - w. Suppose -3*i + o = 5*d - 32, 3*d - 44 = i. What is the remainder when 61 is divided by d?
9
Let v(l) = -l**3 + 15*l**2 - l + 162. Calculate the remainder when v(14) is divided by 10.
4
Let w(c) = 37*c**2 - c - 7. Suppose 2*q = 3*z + 2 + 47, -5*q - 4*z + 134 = 0. What is the remainder when w(2) is divided by q?
9
What is the remainder when (-2)/(-3)*9/33 - 309222/(-902) is divided by 72?
55
Let l = -134 + 218. Calculate the remainder when 6/21 - (-3000)/l is divided by 16.
4
Suppose -355*i + 372*i = 14348. Suppose -i*b + 855*b - 1221 = 0. Let f(u) = -9*u + 1. Calculate the remainder when b is divided by f(-3).
27
Let z = 280 - 188. Let d(r) = r - 187 + 112 + z. What is the remainder when d(-11) is divided by 5?
1
Suppose -28 = -j - y, -j = 4*y - 5 - 17. Suppose -4*a - 389 - 1757 = -5*s, 3*s = a + 540. Let w = a + 682. Calculate the remainder when w is divided by j.
28
Let i = -358 + 428. Let a = 226 + -127. Suppose -27 = 3*g - a. What is the remainder when i is divided by g?
22
Let p(k) = -14*k - 2*k**2 - 16*k + 4 - 36*k + 42*k. What is the remainder when 5 is divided by p(-12)?
1
Let q = -51 - -299. Let d = -225 + q. What is the remainder when 68 is divided by d?
22
Suppose 0 = -60*x + 56*x. Let s be (-4)/(-2)*(x - -109). Suppose 7*g - s = -1. What is the remainder when g is divided by 17?
14
Suppose 0 = 199*d - 184*d - 6870. What is the remainder when d is divided by 176?
106
Let j(n) = 115*n + 1077. Calculate the remainder when 1342 is divided by j(-9).
40
Suppose -1561 = -23*l - 24*l + 460. Calculate the remainder when 4643 is divided by l.
42
Suppose 9*z - 8*z - 356 = -4*s, -321 = -z + s. What is the remainder when z is divided by 129?
70
Let a(q) be the third derivative of 11*q**2 - 5/12*q**4 + 11/3*q**3 + 0 + 0*q. What is the remainder when a(-5) is divided by 25?
22
Let j(n) = 18*n + 336. Let v = -435 - -418. What is the remainder when (3/(-2))/(4/(-184)) is divided by j(v)?
9
Suppose -6 = 2*x, -2*o + 547 = 5*x + 208. Suppose -9 = 3*k + 5*w, 0 = w + w. Calculate the remainder when o is divided by 9/k + 50 - (6 + -4).
42
Suppose 0 = -2*r, -5*c + 4*r = -7*c + 448 + 112. Calculate the remainder when c is divided by 67.
12
Let r(t) = t**2 - 25*t - 32. Let b be r(20). What is the remainder when 63 is divided by (-1)/(-3) - (b/9 + -7)?
19
Let i(f) = 36*f - 218. Calculate the remainder when 267 is divided by i(10).
125
Let t = -5 - -7. Suppose -542*j + 230*j + 14664 = 0. What is the remainder when j is divided by -1*(t + -1*8)?
5
Let j = -1262 + 1301. What is the remainder when j is divided by 15?
9
Let s = 2152 - 1489. Suppose 0*i - s = -3*y + 3*i, 2*i + 6 = 0. Suppose -10*t = -868 + y. Calculate the remainder when t is divided by 17.
14
Let q(f) = 7*f**2 - 52*f + 131. Calculate the remainder when 126 is divided by q(4).
21
Let p(j) = -j**3 + 4*j**2 + 7*j + 2. Let v be p(5). What is the remainder when (-16)/(-20)*20/2 is divided by 102/18 + (-4)/v*2?
3
Let t be (-10 + 9)/(4/(-188)). Suppose 11*q - 16*q + 5*i + 75 = 0, -4*i = -3*q + t. Calculate the remainder when ((-70)/8)/((-1)/4) is divided by q.
9
Suppose -4*g = -4*s + 104, 0 = -4*s - g + 284 - 150. What is the remainder when 1662 is divided by s?
30
Suppose 0 = 3*w - 3*a - 2253, 4*a = -18*w + 21*w - 2255. Calculate the remainder when 759 is divided by w.
10
Suppose 233*f - 248*f = -2010. What is the remainder when 172 is divided by f?
38
Let p be ((-6)/3)/(-1)*-6. Let n = p - -15. Suppose -21 = -6*o + n*o. What is the remainder when o is divided by 5?
2
Let x(y) = -2*y**2 + 7 + 338*y**3 - 4*y + 4 - 337*y**3. Let k be x(5). Calculate the remainder when 25 is divided by 12/k - 152/(-11).
11
Suppose -1440 = -15*n + 5880. Suppose -5*j = -10*j + 10, 0 = -4*u - 4*j + n. What is the remainder when u is divided by 31?
27
Suppose 680 = 16*m + 74*m - 2740. Calculate the remainder when 11208 is divided by m.
36
Suppose 0 = 10*f - 123 + 13. Calculate the remainder when 5421 is divided by f.
9
Let q = -30 - -47. Suppose 4*k + 20 = 48. Suppose 5*b - 18 = k. Calculate the remainder when q is divided by b.
2
Let l = 63 - 41. Suppose -l*h = -20*h - 22. What is the remainder when 109 is divided by h?
10
Let u = 37 + -34. Suppose 16 = 4*a, -a - 7 - 22 = -u*g. What is the remainder when 1/5 - 268/(-10) is divided by g?
5
Suppose 1 = -7*q + 176. Suppose 4*l = 9*l - q. Suppose 200 = l*b - 180. Calculate the remainder when b is divided by 20.
16
Let g = 5 + 21. Let t(y) = -39*y**2 - 2*y - 1. Let c be t(-1). Let i = c - -167. What is the remainder when i is divided by g?
25
Suppose 18 = 4*h - 3*h. Let d = 6968 + -6961. What is the remainder when h is divided by d?
4
Let s = -20453 