remainder when b is divided by 31?
27
Let j(t) = t**3 + 8*t**2 + 14*t + 15. Let s be j(-6). Suppose -7*v + 59 = -s*v - 3*r, v + 5*r = 9. Calculate the remainder when 40 is divided by v.
12
Suppose -4*v - 43 = 1. Let m(u) be the third derivative of -u**4/6 - 16*u**3/3 - 715*u**2. Calculate the remainder when 47 is divided by m(v).
11
Let f(t) = -t - 39. Let l be f(-25). What is the remainder when ((-105)/l)/(3/6) is divided by (-3)/15 - 112/(-10)?
4
Let b be (-26)/(-12) - (-12)/(-72). Suppose b*q + 2*q = 72. Suppose 212 = 4*g + m + 3, 5*g - 256 = 4*m. Calculate the remainder when g is divided by q.
16
Suppose -23*q = -58*q + 2084 + 13526. What is the remainder when q is divided by 28?
26
Let g = 59 + -86. Let l(c) = -c**3 - c**2 + 26. What is the remainder when l(0) is divided by (11/3)/((-9)/g)?
4
Let j(i) = 94*i + 33. Calculate the remainder when 122 is divided by j(0).
23
Suppose 37 = v - 0. What is the remainder when v is divided by (-2)/12 + (-158)/(-5)*250/600?
11
Let f be 10*644/(-70)*(-1)/2. Suppose 2*g - 92 = f. What is the remainder when 275 is divided by g?
68
Suppose -5*c - 4*z + 184 = -z, 180 = 5*c + 5*z. Let s = 1053 - 828. Calculate the remainder when s is divided by c.
35
Suppose -19*g - 106 + 201 = 0. Calculate the remainder when g*((-31)/(-20))/(5/40) is divided by 23.
16
Suppose 3639 = 14*g - 2157. Let d = -186 + g. Calculate the remainder when d is divided by 11.
8
Let y = -1596 - -1607. What is the remainder when 493 is divided by y?
9
Suppose 19*s - 25*s = 1356. Let p = -145 - s. Calculate the remainder when p is divided by 45.
36
Let g = -28904 + 28933. Calculate the remainder when 774 is divided by g.
20
Let v be -17 + -4*(-2)/4. Let q = v + 21. Let b = -6753 + 6804. Calculate the remainder when b is divided by q.
3
Suppose 0 = 2*o + 3*u - 194, -4*u - 49 = -33. Suppose -3*g = g + 288. Let a = o + g. Calculate the remainder when a is divided by 17.
14
Let t(d) = -2*d**2 - 529*d - 16040. Let m = 84 - 9. What is the remainder when m is divided by t(-35)?
0
Suppose 4*k - 52 = -q, -q + 0 = -2*k - 4. Calculate the remainder when 347 is divided by q.
7
Suppose 2*i + 47*w - 51*w - 14778 = 0, 28 = 4*w. What is the remainder when i is divided by 16?
11
Suppose 0 = -9*q - 51 + 465. Suppose 0 = -5*t + 525 + 850. Calculate the remainder when t is divided by q.
45
Suppose 5*u + 2*i = 3367, 4*i + 860 = u + 169. What is the remainder when u is divided by 68?
63
Let m = 2 + 78. Let n = -138 - -84. Let h = m + n. What is the remainder when 75 is divided by h?
23
Let n = -4 - -171. Let b = n - 128. Suppose 388 = -0*h + 2*h. Calculate the remainder when h is divided by b.
38
Let g(s) = 7*s + 1. Let l be g(2). Let m be (-2 - l/(-6))*141*2. Let z = m - 59. What is the remainder when z is divided by 42?
40
Let c(h) = 2*h**2 + 10*h - 11. Let k be (-60)/4 + 2*(-1)/(-1). What is the remainder when c(k) is divided by 39?
2
Let t = 55 + -52. Suppose -t*c + f = c - 179, -4*f = 4*c - 184. Suppose -c = 10*o - 11*o. What is the remainder when o is divided by 8?
5
Suppose n - 3044 = -3*n + 5*z, -3822 = -5*n + 2*z. Calculate the remainder when n is divided by 172.
78
Let c = 9 + -7. Suppose 3*h = c*h + 199. Suppose 514 = 5*j + h. Calculate the remainder when j is divided by 22.
19
Let n(r) = -2*r**3 + 8*r**2 + r - 9. Let c be n(3). Calculate the remainder when 38 is divided by 4/c - (-3)/((-9)/(-35)).
2
Let q = 1 + 129. What is the remainder when (52/q)/((-2)/(-215)) is divided by 24?
19
What is the remainder when (8*-1)/2 + (-93702)/(-73 - -4) is divided by 670?
14
Let v(m) be the second derivative of 2*m**4/3 - 7*m**3/6 - 5*m**2/2 + 13*m. Calculate the remainder when v(-2) is divided by 206/13 - (-16)/104.
9
Let x(n) = n**3 + 37*n**2 - 47*n - 221. What is the remainder when x(-38) is divided by 32 + 0/3 + 2?
19
Let p(d) = 13*d + 4*d**2 + 5*d**2 + 2*d**2 - 5*d**2 - 48 - d**3. What is the remainder when 208 is divided by p(5)?
40
Let o = -94 - -96. Suppose 5*p + 5 = 3*v - 7, 12 = o*v - 2*p. Calculate the remainder when 142 is divided by v.
7
Let p = -11742 - -12464. Calculate the remainder when p is divided by 237.
11
Suppose 24*r - 143 = 457. Calculate the remainder when (29/2 + 2)*66/9 is divided by r.
21
Let w be -38*(-2 - 51/6 - 4). Let j = -424 + w. Calculate the remainder when j is divided by 44.
39
Suppose 272 + 530 - 53 = 7*x. What is the remainder when 172 is divided by x?
65
Let i = -301 - -425. Let j = -105 + i. What is the remainder when 474 is divided by j?
18
Let i = -3456 - -3525. Calculate the remainder when 110 is divided by i.
41
Suppose 40 = 2*f + 28*l - 31*l, 3*f + 4*l - 43 = 0. Let o(j) = -j**2 + 9*j - 1. Let t be o(7). Let z = 20 - t. Calculate the remainder when f is divided by z.
3
Let s(n) = 13*n**2 - 2*n - 16. Let g be s(-3). Suppose -5*t - 492 + 182 = 0. Let l = g + t. Calculate the remainder when l is divided by 17.
11
Let g = -3823 - -4239. Calculate the remainder when g is divided by 25.
16
Let q(l) = -2*l**3 + 103 - 18*l - 29*l**2 - 223 + 112. What is the remainder when q(-14) is divided by 35?
13
Let y = 3116 + -3030. Let t(i) = -10*i + 2. Calculate the remainder when y is divided by t(-2).
20
Suppose 9*y - 7084 + 2296 = 0. Suppose -6*a + y = -362. What is the remainder when a is divided by 8?
5
Suppose -3*y + 4*d = -303 - 134, 5*y - 670 = -5*d. What is the remainder when 7921 is divided by y?
137
Suppose 0 = -2*p - 2*h + 20, -12*p + 13*p + 2*h - 12 = 0. What is the remainder when 44 is divided by p?
4
Let j(c) = 8*c - 1. Let p = 12137 - 12063. What is the remainder when p is divided by j(1)?
4
Let w = 5496 - 3949. What is the remainder when w is divided by 129?
128
Let b(r) = -r**3 + r**2 + r + 1. Let u be b(0). Let o be ((-432)/(-1512))/(2/(-28)). Let w = u - o. What is the remainder when w is divided by 3?
2
Suppose 60 = 3*c - 48. Calculate the remainder when (-8)/c*3*3*-2 is divided by 3.
1
Suppose 8*p + 195*w = 192*w + 2436, 2*w - 8 = 0. What is the remainder when 647 is divided by p?
41
Let f(i) = i**2 - 44*i + 183. Calculate the remainder when 916 is divided by f(40).
19
Let u be (-7)/(35/(-25)) + -3. Suppose -u*z - 254 = -4*x, 3*x + z + 55 = 248. Calculate the remainder when x is divided by 12.
4
Let x = 597 + -570. Calculate the remainder when (-4)/((-32)/24) + x is divided by 18.
12
Let y = 21 - 10. Let j(w) = y + 42*w - w - 14. What is the remainder when j(1) is divided by 21?
17
What is the remainder when (2 + -2)*(-5)/(-5) - (-11604)/12 is divided by 11?
10
Suppose 0 = 2*g - 4*p - 110, 65 = 5*g + p - 210. Let x = 563 - 692. Let s = x + 136. Calculate the remainder when g is divided by s.
6
Let h(j) = j**2 + 1525*j - 4581. Suppose -2*d + 50 = -0*d. What is the remainder when d is divided by h(3)?
1
Let c(k) = 155*k**2 - 3*k - 5. Suppose 4*j + 2*t + 3 + 5 = 0, j = 5*t + 9. Calculate the remainder when c(j) is divided by 31.
29
Let c be 18/6*45/27. What is the remainder when ((-2430)/60)/((c/6)/(-5)) is divided by 82?
79
Let b = 30 - -23. Let s = -21 + b. Suppose 4 = v, 0 = -z + 5*z + 2*v - 380. Calculate the remainder when z is divided by s.
29
Suppose -18*b = 1655 - 2807. What is the remainder when 173 is divided by b?
45
Suppose -219 = -i - m, 9*i + 2*m = 6*i + 661. Suppose -i - 149 = -6*n. Calculate the remainder when n is divided by 22.
18
Suppose 12 = 4*q + 4. Suppose -9 = -k - 2*k. Calculate the remainder when (22 - 17) + q/1 is divided by k.
1
Let c(a) = -4*a - 10. Let x be c(-3). Suppose 5*r = x*r + 3. Suppose 31 - r = 3*k. Calculate the remainder when 88 is divided by k.
8
Let h(l) = 5*l + 93. Suppose 0 = -q + 9. Let x = 13 + q. What is the remainder when h(-10) is divided by x?
21
Let a = 365 + 166. Suppose 2*p - 5*p = -a. What is the remainder when p is divided by -7 + -1 - (-3168)/72?
33
Let s = -6777 - -7055. Calculate the remainder when 9451 is divided by s.
277
Let c = -670 - -1356. Calculate the remainder when c is divided by 228.
2
Suppose 0 = 54*s - 353 - 1105. Calculate the remainder when 935 is divided by s.
17
Suppose 184*g - 24*g - 10720 = 0. Calculate the remainder when 656 is divided by g.
53
Suppose -5*d + 7 = 2*u, 2*d = 3 - 5. Let g be (-17)/(-3) - u/(-18). Calculate the remainder when 88 is divided by 1/(-2) + ((-1281)/g)/(-7).
28
Let v = -3240 + 3789. What is the remainder when v