3. Suppose -4*o - 3*v + 10 = 0, 1 + 3 = -4*o + 4*v. What is the remainder when i(-4) is divided by o + (-3)/(1 - 2) + -1?
0
Let g = 32 + -16. Let m = 2154 - 2148. What is the remainder when g is divided by m?
4
What is the remainder when (-6)/(-57) - (-1288)/38 is divided by 15?
4
Let c = -98 - -128. What is the remainder when 238 is divided by c?
28
Suppose 12*z - 7*z - 60 = 0. Calculate the remainder when 19 is divided by z.
7
Suppose 103*u - 1400 = 63*u. Calculate the remainder when 241 is divided by u.
31
Suppose -4*w + 4*x = -17 - 19, -21 = -4*w + x. Calculate the remainder when 39 is divided by w.
3
Let a be (6/(-6))/(1/(-4)). Let y(f) = 17*f - 2. What is the remainder when y(a) is divided by 17?
15
Let y = 94 - 5. What is the remainder when 440 is divided by y?
84
Suppose 0 = -3*k - 5*t - 101, 178 = -4*k - 0*k + 2*t. Let y = 45 + k. What is the remainder when 6 is divided by y?
0
Suppose 3*z - 2*z = -3*r - 1, -3*z + 2*r + 8 = 0. Suppose 2*f = 4*i + 150, z*f - f - 78 = -i. Calculate the remainder when f is divided by 16.
13
Let u be (-9674)/(-49) + (-4)/(-7). Suppose -252 = -9*a + u. Calculate the remainder when a is divided by 18.
14
Let k(i) = i**2 + 9*i + 6. Suppose -19*h + 150 = 11*h. Calculate the remainder when k(-11) is divided by h.
3
Suppose -158 = -5*c - f - 0*f, -4*c + 134 = -3*f. Suppose -18*a + 1248 = -10*a. What is the remainder when a is divided by c?
28
Suppose -4*j - 4*u + 54 = -7*u, -26 = -2*j + 2*u. Let t = j - 13. Let c(o) = 3*o - 3. Calculate the remainder when 14 is divided by c(t).
2
Suppose -8*x + 100 = -4*x. What is the remainder when 380/8 + (-3)/(-4 - 2) is divided by x?
23
Let b(k) be the first derivative of k**3 + k**2 + k + 2. What is the remainder when 84 is divided by b(-3)?
18
Let z(n) = -n**2 - n + 1. Let v(f) = 25*f**2 - 8*f + 6. Let t(j) = v(j) - 5*z(j). What is the remainder when t(1) is divided by 10?
8
Let n = -53 + 48. Calculate the remainder when 161 is divided by (-6)/n*45/2.
26
Let i = 102 + -93. Let o(f) be the first derivative of f**3/3 + f**2 - 4*f - 2. Calculate the remainder when i is divided by o(-4).
1
Let r(d) = 265 - 265 + 57*d. What is the remainder when r(1) is divided by (2 + 1)*1*4?
9
Suppose k - 2*k + 91 = 0. Calculate the remainder when k is divided by -6 - (0 - (26 - -4)).
19
Suppose -3*f + 3 = -3. Suppose 2*n - 4*o - 28 = -f*n, -5*o - 11 = n. Let t(i) = i**2 - 4*i + 4. Calculate the remainder when t(n) is divided by 2.
0
Let f(u) = -u**2 + 4*u + 6. Let a be f(6). What is the remainder when 19 is divided by 12/(-8)*a + -4?
4
Suppose 100*z - 872 = 92*z. Calculate the remainder when z is divided by 40.
29
Let a be 39/26*(-248)/(-6). Let w = 125 - a. What is the remainder when w is divided by -10*(-5)/((-50)/(-16))?
15
Let s(d) be the first derivative of 21*d**2/2 + 3*d + 1. Suppose 29*x - 50*x = -462. Calculate the remainder when s(4) is divided by x.
21
Let t(b) = b**3 + 16*b**2 + 2*b - 24. Let u be t(-16). Let s = 84 + u. What is the remainder when 51 is divided by s?
23
Suppose 0 = -1363*d + 1362*d + 46. Calculate the remainder when d is divided by (1 - 5)/(-1) + 2.
4
Suppose -5*n + 32 = -3*c, 8*c + 36 = 5*n + 4*c. Suppose -22 = -o - n. Suppose 46 = w - 2*d, w + d - 64 = -3*d. What is the remainder when w is divided by o?
16
Suppose t + 4*z = 17 + 28, t - 24 = 3*z. Calculate the remainder when (-891)/(-7) + (-4)/14 is divided by t.
28
Suppose 16*m - 525 = -19*m. Suppose -5*x + 28 = -2*h + 186, -73 = -h + 4*x. Calculate the remainder when h is divided by m.
14
Suppose 0 = 9*v - 149 - 220. What is the remainder when 161 is divided by v?
38
Suppose 4 + 1 = t. Suppose -t*u = v - 24 - 12, -5*u - 19 = -4*v. Suppose -2*p + 0*p = -12. Calculate the remainder when v is divided by p.
5
Suppose -2*t + 7*t = 0. Let o(n) = n**3 + n**2 - 2*n + 38. Calculate the remainder when 72 is divided by o(t).
34
Let n = -237 + 254. Let k = 130 + -81. Calculate the remainder when k is divided by n.
15
Let d(z) = z**2 + 4*z - 2. Suppose i = 3*g + 4, 10*g - 12 = -3*i + 9*g. What is the remainder when d(-6) is divided by i?
2
Suppose 100 = 6*r + 22. Suppose 2*p = -p + 366. Suppose -3 = -5*d + p. What is the remainder when d is divided by r?
12
Suppose -606 = p - 7*p. Let b = -7 + p. Calculate the remainder when b is divided by 19.
18
Let k(s) = s**2 - 15*s - 11. Suppose 0 = 6*v - 77 - 31. Calculate the remainder when k(v) is divided by 11.
10
Let t(g) = -2*g**3 - 4*g**2 - 20. Calculate the remainder when t(-5) is divided by 9.
4
Suppose -3*b - 222 - 190 = 2*w, -2*b + 2*w - 278 = 0. Let d = 231 + b. What is the remainder when d is divided by 19?
17
Let a = -2126 + 2286. What is the remainder when 165 is divided by a?
5
Let v(q) be the second derivative of -6*q + 0 - 2*q**2 + 1/6*q**4 - 1/6*q**3. Calculate the remainder when 43 is divided by v(3).
10
Let z = 1832 - 1813. Calculate the remainder when 245 is divided by z.
17
Let s(d) = 2*d - 6. Let h be s(6). Suppose -h*w + 6 = -5*w. Suppose -3*o - 18 + 63 = 0. Calculate the remainder when o is divided by w.
3
Let n = 546 - 529. Calculate the remainder when 132 is divided by n.
13
Suppose -219 = -7*i - 58. What is the remainder when 712 is divided by i?
22
Suppose -84 = 2553*j - 2555*j. What is the remainder when 137 is divided by j?
11
Let b = 17 - 13. Suppose b*m = 158 + 118. What is the remainder when m is divided by 36?
33
Let v(g) = 26*g + 1. What is the remainder when 215 is divided by v(1)?
26
Let k = -3 + 24. Calculate the remainder when k is divided by (-9)/(-4)*24/9.
3
Let l(o) = -o**3 - 8*o**2 + 4*o - 15. Let x be l(-9). Suppose 0*m - x = -6*m. Calculate the remainder when 12 is divided by m.
2
Let o(y) = -y**3 - 71*y**2 - 67*y + 262. Calculate the remainder when 360 is divided by o(-70).
48
Let f(c) = -9*c. Let y be f(-1). Suppose 5*n + y = 39. Let p(q) = q**2 - 7. What is the remainder when p(n) is divided by 16?
13
Let x = 101 + 446. Suppose 3*y - 526 = -2*y - 3*o, 0 = -5*y + 4*o + x. Calculate the remainder when y is divided by 28.
23
Let l = 2 + 0. Let u(r) = 58*r + 69*r - 133*r. Calculate the remainder when u(-1) is divided by l.
0
Let o = -45 - -46. Calculate the remainder when 21 is divided by -3 - (-148)/12 - o/3.
3
Suppose 0 = -3*p + 165 - 45. Let o be ((-6)/8)/((-15)/p). Suppose 0 = -o*v + 5*v - 39. What is the remainder when 37 is divided by v?
11
Suppose -5*u = -4*u - f - 77, -4*f - 232 = -3*u. Calculate the remainder when 756 is divided by u.
72
Suppose 101*t = 104*t - 33. Let b = 59 + -29. What is the remainder when b is divided by t?
8
Let r = -410 + 653. Calculate the remainder when r is divided by 85.
73
Let d(z) = 6*z + 20. Let y be d(-7). Let b(h) = -h**2 - 23*h + 24. Calculate the remainder when b(y) is divided by 16.
14
Suppose -5*t + t + 20 = 0, t - 10 = -5*l. Let s be 27*(-4 + l)/9. What is the remainder when 29 is divided by (-92)/s - 2/9?
9
Let i = -2506 - -2547. Calculate the remainder when 84 is divided by i.
2
Suppose 5*s = -q + 1, 2*s + 3 - 4 = -q. Suppose -u + 18 = -s*u. Let v(n) = 19*n - 558. What is the remainder when v(33) is divided by u?
15
Let d = -53 + 47. Calculate the remainder when 53 is divided by ((1 - -1) + d/4)*18.
8
Suppose 5*f - 113 = -5*b + 3*b, 0 = -f + b + 17. What is the remainder when (72/(-16) + (2 - -2))*-116 is divided by f?
16
Suppose 0 = 4*l - 9*l + 495. Calculate the remainder when (l/(-2))/3*(-24)/18 is divided by 13.
9
Let g(a) = 2*a**2 - 5*a + 33. Let b(u) = -u**2 + 3*u - 16. Let d(r) = 7*b(r) + 4*g(r). What is the remainder when 59 is divided by d(0)?
19
Let h(d) = 2*d**2 - 2*d + 3. Let w be h(0). Suppose 0 = -w*a - x + 222, -4*a - 2*x + 188 + 106 = 0. Calculate the remainder when a is divided by 26.
23
Let b = -366 - -388. Suppose 0*h + h = -1, 8 = f + 4*h. Calculate the remainder when b is divided by f.
10
Let q(p) = 134*p - 7. Let n(i) = -4*i - 11. Let b be n(-3). What is the remainder when q(b) is divided by 43?
41
Let k(h) = h**3 + 6*h**2 + 10*h + 11. Let q be k(-4). Suppose 180 = 3*l - 3*z, -2*z = 5*l + q*z - 330. Calculate the remainder when l is divided by 6.
3
Suppose 0 = 3*n - 0*f + 5*f - 4350, -5*f + 15 = 0. Let k be n/20 - 2/8. What is the remainder when (k/(-20))/((-6)/15) is divided by 4?
1
Let y(b) = 29 - 2*b + 13*b + 3*b**2 + 0*b - 2*b**2. What is the remainder when 19