
7
Suppose 5*g + 22 = -3, -107 = -4*y - 5*g. What is the remainder when 99 is divided by y?
0
Let s = 512 + -504. Suppose 3*i + 2*z = 66, -4*z = -4*i + s*i - 88. Calculate the remainder when 36 is divided by i.
14
Let t = -9660 - -9688. What is the remainder when 35 is divided by t?
7
Suppose 169 + 119 = 20*q - 72. Calculate the remainder when 29 is divided by q.
11
Calculate the remainder when (-308)/(-12) - (-2)/6 is divided by ((-5)/(-3))/(365/2628).
2
Let k(x) = 1514*x + 27362. Let r = -9 + 47. Calculate the remainder when k(-18) is divided by r.
34
Let f(i) = -17*i. Let o be f(-7). Suppose -n - 3 = -o. What is the remainder when n is divided by 32?
20
Calculate the remainder when (-1 + (-20)/(-12))*12 - (1 + -54) is divided by 6/3*(-13)/(-2).
9
Suppose 134 - 569 = -29*s. Let j = -90 + -4. Let o = 39 - j. Calculate the remainder when o is divided by s.
13
Suppose -3*d = 5864 - 6785. Calculate the remainder when d is divided by 31.
28
Suppose 22*o + 5*s = 20*o - 4, o = 2*s + 7. What is the remainder when 12 is divided by o?
0
Suppose 0 = -18*t + 133 + 65 + 72. Calculate the remainder when 1227 is divided by t.
12
Let s = -127 + 169. Suppose 0 = 2*z + 8, -6*w + w - 4*z + 29 = 0. Calculate the remainder when s is divided by w.
6
What is the remainder when ((3 - 34)*2)/(2/(-25)) is divided by 39?
34
Suppose -31*c = 2506 - 8024. Calculate the remainder when 54 is divided by (445/c)/(2/36).
9
Suppose r - 3*n - 26 = 0, -2095*r - 30 = -2094*r + 5*n. What is the remainder when 4929 is divided by r?
4
Let q(z) = -5*z - 65. Let k be q(-5). Calculate the remainder when 479 is divided by -4 + -5*136/k.
11
Let t(a) = -9*a - 11. Let y(n) = 20*n - 31. Let c be y(14). Suppose 2*s - c = -2*s + 3*m, 2*s = -3*m + 147. Calculate the remainder when s is divided by t(-5).
32
Let x be (-14)/(-6)*(7 + -8 + -2). Suppose 54 = 5*n - 216. Calculate the remainder when n is divided by 7 - (x + 0 + 18/3).
6
Suppose 2*v = -5*q + 7*v + 530, 177 = 2*q + 5*v. Let t = 89 - q. Calculate the remainder when 109 is divided by (88/t)/(3/(-9)*2).
10
Let v = 15 - -54. Suppose 0*y + 4*y = 12, y = 2*o - v. Calculate the remainder when 107 is divided by o.
35
Let s(d) = d + 21*d**2 + d**3 - 5 - 21*d**2 + 2*d**2. What is the remainder when s(2) is divided by 8/4 - (-1 - 0)?
1
Let a(m) be the second derivative of -m**5/20 - m**4/3 - 5*m**3/6 - 2*m**2 + 4*m. What is the remainder when (21/(-14))/((-3)/18) is divided by a(-3)?
1
Let m be (-1 - -3)/2 - 68/(-17). Calculate the remainder when ((-30)/4)/m*212/(-3) is divided by 4.
2
Suppose 0 = 2538*l - 2688*l + 27000. Calculate the remainder when 5933 is divided by l.
173
Let r(v) be the second derivative of 20*v**3/3 + 23*v**2 - 242*v. What is the remainder when r(8) is divided by 41?
38
Suppose -4*v = -v - 102. Suppose -y - 2*l - 9 = 0, 4*y + 51 = -l - 2*l. Calculate the remainder when (-5 + 2)*(730/y - 7) is divided by v.
31
Suppose 2*o - 15 = 2*j - 7*j, 0 = 2*o + 3*j - 25. Suppose -219 - 201 = -o*p. What is the remainder when 292 is divided by p?
19
Let w(h) = 115*h - 15350. What is the remainder when 300 is divided by w(135)?
125
Let s(m) = m**3 - 19*m**2 + 40*m + 38. Let g be s(17). Let i = g + -126. Calculate the remainder when 82 is divided by i.
12
Suppose 53*v + 600 = 77*v. What is the remainder when 374 is divided by v?
24
Let z(h) = -4*h**2 - 7*h + 5. Suppose 5*i = 5*g - 35, -3*i + 2*i + 8 = 2*g. What is the remainder when 9 is divided by z(i)?
0
What is the remainder when 186 is divided by 958/18 - 8/36?
27
Let n(u) = -2*u**2 + 200*u - 725. Calculate the remainder when n(95) is divided by 64.
33
Suppose 60*n = 1334 + 166. Let c(p) = p**2 + p - 6. Let i be c(6). Calculate the remainder when (-421)/(-9) + 8/i is divided by n.
22
What is the remainder when 564 is divided by ((-3)/(48/284))/(6/(-48))?
138
Let r(c) = 21 - 53*c - 56*c - 4*c**2 + 2*c**2 + 102*c. Suppose v = -0*v + 48. What is the remainder when v is divided by r(-4)?
14
Suppose 25*g = 49*g - 35*g + 204204. Calculate the remainder when g is divided by 44.
40
Let k = 27 - 10. Let m(q) = q**3 - 45*q**2 - 147*q. Calculate the remainder when k is divided by m(-3).
8
Suppose -247 = 2*k - 255. Suppose -k*b + 3*o = -249, -b - o = 4*b - 297. What is the remainder when b is divided by 9?
6
Calculate the remainder when (-5)/((-210)/(-24)) - 5208800/(-224) is divided by 19.
16
Suppose -24745 = -714*z + 7*z. What is the remainder when -2 + 1 - (4 - 80) is divided by z?
5
Let u(j) = -690*j + 2886. What is the remainder when 1889 is divided by u(4)?
125
Let l(j) = -j**3 + 8*j**2 - 6*j - 7. Suppose -4*u + 716 = -3*f, 6*f + 1186 = f + 3*u. Let v = f - -252. Calculate the remainder when l(6) is divided by v.
13
Suppose 1753 - 17000 = -111*l - 82*l. What is the remainder when l is divided by -30*(-2)/4*2?
19
Suppose -460 = -4*a + 5*o + 37, 3*a + 2*o = 367. Calculate the remainder when 144 is divided by a.
21
Let v(l) = 2*l**2 + 2*l - 8. Let p be v(4). Let a = 36 - p. Suppose 0 = a*c + 4*t - t - 32, 3*c + 2*t = 25. What is the remainder when 20 is divided by c?
9
Let n(c) = -157*c**2 - 13818*c - 78. Let w = -2 - -15. Calculate the remainder when n(-88) is divided by w.
7
Suppose -3*b = 3*t - 222, -58*b - 281 = -4*t - 59*b. What is the remainder when t is divided by 29?
11
Calculate the remainder when (-15 + 16)*((-48)/28 + 2)*469 is divided by 75.
59
Let r(j) = -32*j + 4. Let h be r(-3). Suppose 0 = -h*s + 102*s - 12. What is the remainder when 19 is divided by s?
1
Calculate the remainder when (195/30 + (7 - 8))*204 is divided by 23.
18
Suppose 530 + 1276 = 7*p. Calculate the remainder when p is divided by 60.
18
Suppose 245 = -b + 6*b. Calculate the remainder when (-217 + 212)/(2/(-38)) is divided by b.
46
Let h(a) = 315*a**2 - 1. Let i be h(1). Suppose -1426 - i = -10*f. Calculate the remainder when f is divided by 18.
12
Let a = 121 - 43. Let h = -25 + a. Let n = h + -17. Calculate the remainder when 141 is divided by n.
33
Suppose -1440 = -17*t - 131. Suppose t = -g + 91. What is the remainder when 39 is divided by g?
11
Let l(f) = -f**3 + 27*f + 6. Let u(v) = -80*v - 4. What is the remainder when u(-1) is divided by l(5)?
12
Let r = 15597 - 14511. What is the remainder when r is divided by 156?
150
Let x = 32 + -35. Let m(d) = d**2 + 8*d. Let j be m(x). What is the remainder when 24 is divided by (-4)/6 + (-205)/j?
11
Let m(t) = 4*t**2 + 2*t - 3. Let y be m(0). Calculate the remainder when y*(-4 - 1100/12) is divided by 98.
91
Suppose 5*g - 4*p - 61 = 0, 0 = 5*g - 122*p + 113*p - 31. Suppose 5*a - 3*c - 251 = 3*a, c + 241 = 2*a. What is the remainder when a is divided by g?
16
Let k = -451 + 495. Suppose k*d - 123 = 97. What is the remainder when 181 is divided by d?
1
Let a = -547 + 552. Suppose -a = -6*h + 97. Calculate the remainder when 84 is divided by h.
16
Let m = 4887 + -4817. Suppose -2*w = -5*w - s + 630, 0 = -4*w + 5*s + 821. What is the remainder when w is divided by m?
69
Let y be ((3 - 1)/(-6))/((-20)/300). Suppose 0 = -3*x + 6*x + y*n - 61, 3*x = -n + 53. Calculate the remainder when x is divided by (5 - -4)*(1 - 0).
8
Let o = -7450 + 7770. What is the remainder when o is divided by 2?
0
Let s = -89 + 53. Calculate the remainder when (-437)/(-5) - (-1 - 14/(-10)) is divided by (-27)/s + (-146)/(-8).
11
Suppose -a - 78 = -3*u, -3*a = u + 2*u - 90. Let f(z) = z**2 - 22*z - 63. What is the remainder when f(u) is divided by 40?
32
Suppose -63*b + 516 = -57*b. Let l = 43 - b. Let x = 8 - l. Calculate the remainder when x is divided by 28.
23
Let t be 34/153 - 3184/(-9). Suppose -t + 589 = 5*g. What is the remainder when 469 is divided by g?
46
Let u = 111 + -233. Let b(c) = -32*c + 9. Let w be b(-7). Let o = u + w. What is the remainder when o is divided by 28?
27
Suppose -10*x + 12*x + 58 = 0. Let j = x - -33. Suppose -2*q + 16 = -j*l, 2*q = 3*q + l - 23. Calculate the remainder when 70 is divided by q.
16
Suppose 121*x = 118*x + 948. Let b = x + -238. Calculate the remainder when b is divided by 41.
37
Let r = 84 - 64. Suppose -g + 4*g = 3*b - 4263, -g = -2*b + 2847. Calculate the remainder when b/18 + (-12)/54 is divided by r.
19
Suppose -13*s + 16*s + 93513 = 3*z, -4*z = -s - 124660. Calculate the remainder when z is divided by 294.
293
Suppose -3*i + 99 + 87 = 0. 