3. Suppose 3*l - 128 = -4*m - l, 0 = 2*m + l - 64. What is the remainder when q(3) is divided by m?
23
Let c(k) = 18*k**2 - 89*k - 1. Let j be c(6). Suppose 118*a - 895 = j*a. What is the remainder when a is divided by 5?
4
Suppose 20 = f + m, -18*m = -3*f - 15*m + 72. Suppose -c = f - 266. Calculate the remainder when c is divided by 63.
55
Let x(u) = 40*u**3 + 70*u**2 - 143*u - 6. Calculate the remainder when x(2) is divided by 93.
29
Let o be 2 - -242*(3 - 2). Suppose -x - 62 = z, 4*x - z = -4*z - o. Let h = -33 - x. Calculate the remainder when 47 is divided by h.
22
Suppose -a + 5 = 0, 100*i - 2*a = 104*i - 106. What is the remainder when 767 is divided by i?
23
Let d(h) = -h**3 + 6*h**2 + 5*h + 6. Calculate the remainder when (-38)/4*(-1802)/53 is divided by d(6).
35
Let p(x) = x**3 + 3*x**2 + x - 3. Let f be p(-2). Let w be 6/(2/f) - 9/(-3). Suppose -57*h + 51*h + 60 = w. What is the remainder when h is divided by 6?
4
Suppose -w - 6 = -0*w. Let p(i) = i**2 - 3*i - 12. Calculate the remainder when p(w) is divided by 16.
10
Suppose 0 = 719*g - 718*g - 2 - 8. Calculate the remainder when 74 is divided by g.
4
Calculate the remainder when 15*400 - (-28 - (-112)/4) is divided by 158.
154
Suppose 0 = -3*o + 7 + 5. Suppose -2*t = 2*t - 3*l - 11, -5*t + 15 = -o*l. What is the remainder when 28 is divided by (t*1)/((-6)/48)?
4
Suppose 0 = 5*z - 315 - 209 + 269. Let m = 19 + -6. Calculate the remainder when z is divided by m.
12
Let t = 18140 - 18109. What is the remainder when 265 is divided by t?
17
Suppose j - 4*c = 47, -4*c + 138 = 2*j - c. Let w = -13841 - -13924. Suppose w = 4*k + j. Calculate the remainder when 53 is divided by k.
3
Suppose 3*i = 4*u + 23, 2*u - 7*u = i + 43. Let z be (6/(-9)*u)/((-4)/114). Let q = -19 - z. What is the remainder when q is divided by 34?
31
Suppose -b = k - 12, 0 = -3*b - 0*k - 4*k + 39. Let i(n) = -218*n - 432. Calculate the remainder when b is divided by i(-2).
1
Suppose 4*w + 10 = -n - 0*w, 5*n - 16 = 2*w. Suppose 4*o + 17 = a, o = 2*a - 4 - n. What is the remainder when 4/a*31/2 is divided by 21?
20
Suppose 2477*l = 2345*l + 15840. Calculate the remainder when 18238 is divided by l.
118
Let t(j) be the third derivative of 5/2*j**3 + 0*j + 0 - 17/60*j**5 + 7*j**2 + 31/24*j**4 + 1/120*j**6. Calculate the remainder when 54 is divided by t(15).
24
Let o(u) = -106*u + 1637. What is the remainder when 197 is divided by o(15)?
9
Suppose 18*v - 79431 = 91884 + 112617. What is the remainder when v is divided by 322?
318
Suppose -20*y - 55 = -31*y. Suppose 105 = c + y*x, 96 = 4*c + 4*x - 340. What is the remainder when c is divided by 7?
5
Suppose 3*z = -4*i + 131, -7*z + 2*z - 2*i + 223 = 0. Let t = -55 + 84. Let r = z - t. What is the remainder when 60 is divided by r?
12
Suppose -18*z + 21*z = -r + 1208, -2016 = -5*z - 3*r. What is the remainder when z is divided by 58?
54
Let q be (-14)/(-161) - (-272)/46. Suppose 2*k = 4*r - 128, 3*r + q*k - 70 = k. Calculate the remainder when 388 is divided by r.
28
Let j = -7 - -11. Let h(g) = g**3 - 7*g**2 + 58*g - 515. What is the remainder when h(8) is divided by j?
1
Let n be (-16)/(-1) - 9/(54/(-24)). Suppose -l = 2*z - z - 17, 4*z = 2*l + 68. What is the remainder when z is divided by ((162/10)/9)/(6/n)?
5
Suppose 3*m - 5*p - 25 = 0, -4*m + 7*m + 3*p = 9. Suppose -4*q + 45 = i - 51, 91 = i + m*q. What is the remainder when i is divided by 20?
16
Suppose 16*z - 2 = 750. Let r = 82 + 384. Calculate the remainder when r is divided by z.
43
Let c be 4 + 10 + (-2 - 4/(-2)). Suppose 4*s - 41 = -v, 2*v - c = -2*s + 56. What is the remainder when v is divided by 19?
14
Let n = -454 - -414. Calculate the remainder when (64/n)/(4/(-310)) is divided by 23.
9
Let q be (-2 - -4)*(-1)/(-2). Let y(u) = 15*u. Let k be y(q). What is the remainder when 60 - (21/k + (-10)/25) is divided by 15?
14
Suppose -3*p = 5*l - 150, 8*p - 7*l + 34 = 9*p. What is the remainder when 1734 is divided by p?
29
Let i = 182 - 98. Let p be (-90)/27*(-6)/4. Suppose -n + 38 = p*y, 3*n + 4*y - 125 = -0*y. Calculate the remainder when i is divided by n.
41
Suppose v = b - 973, 5*b = -143*v + 142*v + 4853. What is the remainder when b is divided by 198?
179
Let f = -374 + 615. Let x = f + -137. Suppose -2*h - x = -10*h. What is the remainder when 47 is divided by h?
8
Calculate the remainder when 7728 is divided by (117/(-24))/(((-675)/120)/45).
6
Let a = 4226 - 3514. What is the remainder when a is divided by 25?
12
Calculate the remainder when ((-2)/(-10)*5)/((6/1278)/1) is divided by 42.
3
Suppose 5*f = -0*f - 15, -2*n + f - 3 = 0. Let a = -2 + n. What is the remainder when (-3)/(-1 + 4)*(a - 29) is divided by 12?
10
Let y(r) = -34*r + 5*r - 119 + 42 - r. Calculate the remainder when y(-3) is divided by 13.
0
Calculate the remainder when (656/7872)/((-1)/(-299828)) - 1/(-3) is divided by 119.
115
Suppose 0 = -3*o + 2*h - 5242 + 23414, -5*o = -3*h - 30287. What is the remainder when o is divided by 30?
28
What is the remainder when 390 is divided by (6 + 30)*(-86)/(-387)?
6
Let i = 353 - 246. Calculate the remainder when -17 - ((-2755)/(-10))/(87/(-174)) is divided by i.
106
Let h(g) = -10*g**2 + 14*g - 1. Let k be h(-4). Let o = -62 - k. What is the remainder when o is divided by 54?
47
Suppose 43555 = -104*n + 263*n + 307. What is the remainder when n is divided by 89?
5
Suppose 2*v + 2*v + 1390 = 2*j, 4*j - 2762 = 2*v. Let o = j + -631. Calculate the remainder when o is divided by 20.
18
Suppose 2*o - 3812 = -3*z, -2*o + 2*z + 2511 + 1291 = 0. What is the remainder when o is divided by 34?
33
Let g = 22 - -188. What is the remainder when g is divided by 1060/(-80)*-4*1?
51
Let z be (-1809)/72 + (-3)/(-24). Let o be (-2)/10 + (-5)/z. Suppose -3*n - 45 + 141 = o. Calculate the remainder when 125 is divided by n.
29
Let i(q) = q - 8. Let k be i(14). Suppose 3*x + k*y - 374 = 2*y, 2*x - 4*y = 256. What is the remainder when x is divided by 16?
14
Let r(g) = g**2 + 4. Let u(j) = -2*j**2 - j + 7. Let b be u(2). Calculate the remainder when (-14)/4*208/(-13) is divided by r(b).
4
Suppose -3*q = 2*q - 15. Suppose q*l - 36 = l. Suppose 4*x - 156 = -2*g, 5*g - 6*x = -x + 330. What is the remainder when g is divided by l?
16
Suppose 8*z + 65*z + 222*z - 70210 = 0. Calculate the remainder when z is divided by 133.
105
Calculate the remainder when 4/(((-54)/2880)/(3/(-2))) is divided by 140.
40
Let f(s) = -3*s**3 - s**2 + s - 4. Let a(j) = j + 10. Let y be a(-8). Let l be f(y). Let x = -23 - l. What is the remainder when 20 is divided by x?
6
Suppose -24*u = -5*a - 22*u + 48, -3*a - u = -20. What is the remainder when 145 is divided by a?
1
Let c = -3275 - -3298. What is the remainder when 6/(-15) - 2135/(-25) is divided by c?
16
What is the remainder when 260 is divided by -10 - -5 - 0 - (-101 + -14)?
40
Let z(d) = 21*d**2 + 4*d + 6. Suppose 0 = -2*x + 3*u + 20 + 6, -22 = -x - 3*u. What is the remainder when z(-2) is divided by x?
2
Let h(k) = k**3 - 71*k**2 + 73*k - 174. Calculate the remainder when 6369 is divided by h(70).
33
Suppose -2*t + 5*u = -383, -3*u - 426 + 37 = -2*t. Calculate the remainder when t is divided by 13.
4
Let b = -35 + 66. Let g = 18 + b. Suppose t = -11 + g. What is the remainder when t is divided by 10?
8
Let i be -1 + -3 - (-18)/(-6). Let d(p) = -p - 9. Let n be d(i). What is the remainder when 68*(2 + n + 1) is divided by 19?
11
Let s be (1 - (-73)/5)*(-30)/(-9). Suppose 0 = -32*n + s*n - 2260. Calculate the remainder when n is divided by 14.
1
Let f = -3718 + 3722. Calculate the remainder when 841 is divided by f.
1
Suppose 66*j - 65*j = -5*r + 437, -5*r + 409 = -3*j. What is the remainder when r is divided by (-4 - -32) + 3*1?
24
Let l(a) = 16*a + 34. Suppose -2*b - 17 = 5*d + 29, 2*b = 2*d + 24. Let f = d - -20. What is the remainder when f is divided by l(-2)?
0
Suppose v = 4*w + 6*v - 610, -5*w - v = -794. Calculate the remainder when w is divided by 40.
0
Suppose 119*m - 16611 = 5642. Calculate the remainder when 521 is divided by m.
147
Let q = 21 + -11. Let a = q + -8. Suppose -a*n - x + 29 = -67, 135 = 3*n - 3*x. What is the remainder when n is divided by 13?
8
Let o = 1203 - 1135. Let i = 2274 + -1529. What is the remainder when i is divided by o?
65
Let q = 103 - 73. Let