 -49 + 70. Let g = f + -14. Suppose -6 = -g*b + 8. What is the remainder when 5 is divided by b?
1
Suppose -4 = -25*n + 4*n + 248. What is the remainder when 182 is divided by n?
2
Suppose 22*b - 20*b + 2322 = 4*k, -2*k = -3*b - 1163. Calculate the remainder when 3496 is divided by k.
16
Let k = 380 + -378. Suppose 0 = -3*a + 5*a. Let h = a - -6. What is the remainder when h is divided by k?
0
Suppose -o - 4*o = -3*s + 10, 3*o = -4*s + 52. Let i be (31 + -32)/(0 + 2/s). Let a(l) = 6*l**2 + 3*l - 19. What is the remainder when a(i) is divided by 9?
8
Suppose s + 19 = 5*q - 96, 4*q - 5*s - 92 = 0. Let h = -17 + q. What is the remainder when 136 is divided by h?
4
Suppose 3*u + 4*y - 2 = 0, -2*u - 4*y = -0*y. Suppose i = -3*b + 16, -b + u*i + 13 = 2*b. Calculate the remainder when 24/144 + (-310)/(-12) is divided by b.
1
Let g = 117 + 188. Let q = 938668 + -938654. What is the remainder when g is divided by q?
11
Let h = 13125 + -12667. Calculate the remainder when 1403 is divided by h.
29
Suppose 241*i = 81*i + 41945 - 12985. Calculate the remainder when 1236 is divided by i.
150
Let v(t) be the third derivative of -23/3*t**3 + 0*t + 0 + 11/24*t**4 + 5*t**2. Calculate the remainder when v(11) is divided by 40.
35
Let p(g) = -4*g**2 - 17*g. Let s be p(-4). Suppose -2*n + 2*d = d - 255, -s*n + d + 505 = 0. What is the remainder when n is divided by 9?
8
Suppose 2*d = 7*d - 880. Let s = 409 - 422. Let h = 32 - s. What is the remainder when d is divided by h?
41
Suppose -h - 41 = -3*j, h - 4*h + 42 = 2*j. Suppose -2*l + 25 = -3*z, -23*z = 3*l - 18*z + 29. Calculate the remainder when j is divided by l.
1
Let r be 1992 - (4 + (6 - 10)). Suppose -8*j + 744 = -r. What is the remainder when j is divided by 43?
41
Suppose -32*b + 30*b = 4*z - 1544, 6*z - 4*b = 2288. Calculate the remainder when z is divided by 190.
4
Let t = 22 - 2. Let h = -178 - -179. Let z(y) = 31*y - 26. Calculate the remainder when t is divided by z(h).
0
Let c = 947 + -1507. Let d = c - -659. Calculate the remainder when d is divided by 37.
25
Let x = 225 + -189. Suppose -7*a + 2397 - 395 = 0. Calculate the remainder when a is divided by x.
34
Suppose 11898 - 783 = 117*q. Calculate the remainder when 315 is divided by q.
30
Let p(w) = -14*w - 4. Suppose 3*j = 4*k - 181, -4*j + 3*k - k - 228 = 0. Let o = j + 77. Calculate the remainder when p(-8) is divided by o.
20
Suppose 0 = -0*g + g - 20. Let q(l) = 28*l**3 + 4*l**2 - 10*l + 5. Let o be q(2). Let m = o + -149. What is the remainder when m is divided by g?
16
Suppose -17*d + 28 = -91. Let s = 41 + -38. What is the remainder when d is divided by s?
1
Suppose 4*m - 3*a = 402, 4*m = -4*a + 649 - 205. Calculate the remainder when 2310 is divided by m.
0
Suppose 0 = 34*c - 54625 + 7705. Suppose 0 = -4*s - 4*f + c, 24*f = 22*f - 4. What is the remainder when s is divided by 88?
83
Let p(m) = -m - 8. Let i be p(-19). Let b = 19 + i. Calculate the remainder when 269 is divided by b.
29
Suppose 22*q + 1965 = -3579. Let m = q + 270. What is the remainder when m is divided by 2?
0
Suppose -w + 53 + 324 = 2*q, -3*q - 5*w = -569. Suppose 425*r = 441*r - 304. Calculate the remainder when q is divided by r.
17
Let c(n) = 160*n + 1497. What is the remainder when c(-9) is divided by 47?
10
Suppose 2*x + 2*m - 46 = 0, 645*x - 11*m = 648*x - 125. Let n = 31 + -22. What is the remainder when x is divided by n?
7
Suppose -3*m + 72 = 5*b, -4 = 2*m + 2*m. Suppose 2*t + 4 = 4*q, -t = 3*q - 5*t + 7. Suppose 18 = q*z - z. Calculate the remainder when b is divided by z.
6
Let a = -172 + 182. Suppose 31 = i - 3. What is the remainder when i is divided by a?
4
Let o(m) = 6*m + 4. Let x(r) be the third derivative of -13*r**4/24 - 5*r**3 + 225*r**2. What is the remainder when o(6) is divided by x(-3)?
4
Suppose 0 = 5*x + 5*g - 95, -2*x + 53 = 3*x - 2*g. What is the remainder when 199 is divided by x?
4
Let a be 0 + (7 - (-6)/2). Let m = a - 5. Suppose -m*t - 5*o + 130 = 0, -4*t + 101 = o + 4*o. Calculate the remainder when t is divided by 16.
13
Suppose 15 = 3*l, 0 = s - 9*l + 8*l - 108. Let b = -18 - -21. Calculate the remainder when s is divided by -3*(4 - b) + 42.
35
Suppose -2*f = -3*i + 193 + 597, 520 = 2*i - 3*f. Calculate the remainder when 7976 is divided by i.
262
Let v(g) = 2*g**3 + g + 115. Let i be (-4953)/117 + 1/((-6)/4). Let b = 43 + i. What is the remainder when v(b) is divided by 9?
7
Let p be (-8)/(-8) + 2 + 1. Suppose 8 = 3*q - p. Suppose 4*x - 80 = -6*f, 4*f + 0*f = 2*x - 40. What is the remainder when x is divided by q?
0
Let m(x) = -434*x - 1347. What is the remainder when 784 is divided by m(-4)?
6
Let c = -3635 - -3644. Calculate the remainder when 285 is divided by c.
6
Suppose 19*w = 38 + 38. Calculate the remainder when (-3)/(-4)*928/8 is divided by w.
3
Suppose t + 2 = g + 42, -3*g = -4*t + 161. Let u = t - 9. Suppose 0*y = 2*y - 8, -5*x + u = 3*y. What is the remainder when x is divided by 4?
0
Suppose 3*l - 2*k = -0*k + 147, 0 = -5*l + 4*k + 247. Calculate the remainder when 63 is divided by l.
16
Calculate the remainder when 691 is divided by -2 - (717/(-13) + 76/494).
2
Suppose -7 - 8 = -x. Let p(b) = -72*b + 1562. What is the remainder when p(21) is divided by x?
5
Let u(v) = 3*v**2 - 4*v - 2. Let r be (2/3)/((-2)/(-6)). Let s be u(r). What is the remainder when 49 is divided by s + 26 + (-4 - -1)?
24
Let n be (-3)/(-6 + 90/16). Let z = n - -8. What is the remainder when 29 is divided by z?
13
Let s = -2460 + 2480. Calculate the remainder when 2259 is divided by s.
19
Suppose -n - 3*n + 92 = 0. Let h = 95967 + -95858. Calculate the remainder when h is divided by n.
17
Let g(x) = -14*x - 15. Let n(h) = -7*h - 8. Let d(r) = 3*g(r) - 5*n(r). Suppose -q = 25 - 98. Calculate the remainder when q is divided by d(-6).
36
Suppose 56*n = 50*n + 822. Let w be (2/(-9))/((-2)/18). Suppose -4*b + 3*j = -102, 7*b - n = w*b - j. Calculate the remainder when b is divided by 3.
0
Let j(d) = 1877*d + 0 - 8*d**2 - 1978*d - 17. Calculate the remainder when 143 is divided by j(-12).
14
Suppose 0 = -3*u + 4*t + 1552, 95*t - 91*t = 2*u - 1044. Calculate the remainder when u is divided by 108.
76
Let s = 508 + -504. Suppose 3*t - 328 = -o, -3*o - 139 = s*t - 578. What is the remainder when t is divided by 22?
21
Let s(n) = n**3 - 21*n**2 + 19*n - 24. What is the remainder when s(21) is divided by 95?
90
Suppose 2*d + 3*y = 55, -31*y = -3*d - 34*y + 90. Let o(s) = 4*s**2 + 10*s + 8. Calculate the remainder when o(-6) is divided by d.
22
Suppose 5*d + 24 = 7*d + 5*g, 0 = -3*d + 2*g + 55. Calculate the remainder when 47 is divided by 240/d + 14/(-119) - 2.
11
Let c(f) = 1066*f + 10870. Calculate the remainder when c(-9) is divided by 1271.
5
Let d = 899 - 902. Calculate the remainder when ((-1)/d)/(36/1512) is divided by 1.
0
Let z(k) = -12*k**3 + 3*k**2 + 2*k + 3. Suppose 1310*g - 1308*g - 64 = 0. Calculate the remainder when z(-2) is divided by g.
11
Suppose 797 = -w + 4*b, 0 = 3*w - 0*w - 5*b + 2398. Let d = -794 - w. What is the remainder when 14 is divided by d?
0
Let k = -56 + 69. Suppose -3*v + v = -p - 155, -v + 79 = -p. Calculate the remainder when v is divided by k.
11
Let k(w) = 2*w**2 + 55*w + 342. Calculate the remainder when 348 is divided by k(-8).
18
Let o = -1175 - -1999. Let b = o + -801. Calculate the remainder when 29 is divided by b.
6
Suppose -4336*k - 234 = -3*p - 4337*k, -67 = -p - 4*k. Let n be 1/((10/(-84))/(-5)). Let x = n - 14. Calculate the remainder when p is divided by x.
23
Suppose s + 13 = 2*i, i - 3*s - 9 - 5 = 0. Suppose -3*f - 3*t + 479 = 77, 2*f = 5*t + 226. What is the remainder when f is divided by i?
3
Suppose 4*p + d = 67, 125 = 5*p - 3*d + 37. What is the remainder when (-5)/(-5 - 7/(2184/(-1495))) is divided by p?
7
Calculate the remainder when (-260)/6*(1/12 + 110/(-24)) is divided by 10.
5
Let p = 670 - 1037. Let n = -324 - p. What is the remainder when n is divided by 21?
1
Suppose a = -20 + 5. Let z be ((-315)/4)/(a/40). Suppose -4*d = -7*d + z. Calculate the remainder when d is divided by 12.
10
Suppose 5*v - 35 = j + 158, -4*v + 155 = -j. Suppose -25*m = -36*m - 12*m + 759. Calculate the remainder when v is divided by m.
5
Let a be -3 + 5 + -3 + (0 - -5). Suppose a*y - 223 - 365 = 0. What is the remai