emainder when v is divided by 4?
1
Suppose n + 0 = 4. Suppose 3*y = 6*y - 6, 0 = n*p + 2*y - 316. Calculate the remainder when p is divided by (-21)/2 - (-64965)/2130.
18
Suppose 56*o + 36 = 100 + 104. Let r(n) = -1 + 1 + 8*n**3. What is the remainder when r(1) is divided by o?
2
Let z(k) = -2*k**2 + 1. Let d(b) = b**3 - 11*b**2 - 10*b + 4. Let r(j) = -d(j) + 6*z(j). Calculate the remainder when 415 is divided by r(-5).
51
Suppose -895*a + 26841 = -872*a. Calculate the remainder when a is divided by 8.
7
Let p = -4183 + 5071. What is the remainder when p is divided by 91?
69
Suppose -5*b + 3580 = k, 1488 - 56 = 2*b - 12*k. Calculate the remainder when 731 is divided by b.
15
Let l(p) be the third derivative of p**6/60 - 3*p**5/10 + p**4/12 + 2*p**3/3 + 5*p**2 + 17*p. What is the remainder when l(9) is divided by 8?
6
Let q = 2759 - 2498. What is the remainder when q is divided by 148?
113
Suppose -4*k - 324 = -2*k. Let v = 84 - 65. What is the remainder when (-1 - 2 - k/42)*63 is divided by v?
16
Let c(b) = -b**2 + 36*b - 65. Let r be c(34). Suppose -r*w = -11*w + 8. What is the remainder when (-19)/(-7) + (-6)/(-21) is divided by w?
0
Let o(m) = -3*m + 0*m - 3 - 9*m**2 + 24*m**2. Let g = 2252 - 2236. What is the remainder when o(-3) is divided by g?
13
What is the remainder when 21725/77 - (-13)/(-91) is divided by 22?
18
Let r(z) = 2*z**2 - 7*z - 6. Let w be r(7). Let l = 89 + -34. Let t = l - w. Calculate the remainder when 42 is divided by t.
6
Let z(m) = 2*m + 7. Let i be z(-8). Let b = i + 17. Suppose 30*a + 3256 = 315*a + 122*a. Calculate the remainder when b is divided by a.
0
Let y be (3 + 1)*(14 + 0 + -3). Suppose 280 = 6*a - y. Let r = -35 - -54. What is the remainder when a is divided by r?
16
Let p = 4279 - 4023. Calculate the remainder when p is divided by 81.
13
Suppose 6*x - 1 = 5. Let t be (2 - (4 + -337))*x. Suppose -4*f + t - 31 = 0. What is the remainder when f is divided by 21?
13
Suppose -1959*z + 60829 = -1939*z + 12289. Calculate the remainder when z is divided by 27.
24
Let s = -12003 - -12011. What is the remainder when 159 is divided by s?
7
Let i(q) = -30*q**2 + 418*q + 32. Calculate the remainder when 1485 is divided by i(14).
1
What is the remainder when -440 - -450 - -355*1 is divided by 300?
65
Let d = -429 + -185. What is the remainder when 48 is divided by d/(-17) + (-8)/68?
12
Suppose 5*d = -5*r + 90, -6*r - 5*d = -2*r - 70. Suppose 22*a - 1882 = 1132. Let l = 188 - a. What is the remainder when l is divided by r?
11
Let v be 0/2 + (-9 - -10 - 7). Calculate the remainder when (-722)/19*3/v is divided by 3.
1
Suppose 0 = -3*o - 3*h + 300, -27*h = 5*o - 26*h - 508. Calculate the remainder when o is divided by 67.
35
What is the remainder when (26 - 23)/((-9)/(-74))*(4 - -2) is divided by 33?
16
Suppose 0 = -3*c + 12*c + 585. Let l = c + 88. Calculate the remainder when l is divided by 7 + -5 - 7/(-1).
5
What is the remainder when 3477 is divided by (7/(-2))/(2275/(-9750))?
12
Suppose 31*x = 4877 - 196. Suppose g = -a + 48, -11 = 4*a + 9. Calculate the remainder when x is divided by g.
45
Suppose -15*g = -13*g - 5*j - 1002, 2*j = 5*g - 2484. What is the remainder when g is divided by 142?
70
Calculate the remainder when 454 is divided by (35 - 33 - (0 + 0 - -1)) + 23.
22
Suppose 54*o - 5*o - 5684 = 20*o. What is the remainder when 731 is divided by o?
143
Let v(p) = -65*p + 5027. Calculate the remainder when 802 is divided by v(76).
19
Let f be 9/2 + -3 + 218/4. Suppose 2*s - s = 2*x - 119, -x + 4*s + f = 0. Let q = -38 - -70. Calculate the remainder when x is divided by q.
28
Let a = 123663 + -123298. Let z(l) = -2*l**3 - 6*l**2 - 3*l - 3. What is the remainder when a is divided by z(-4)?
37
Let o = -93 - -96. Suppose 3*r = o*m + 39, 0*r = -r - m + 5. What is the remainder when r is divided by 5?
4
Suppose 0*l = l - 4*w + 115, -3*w + 215 = -2*l. Let j = 42 - l. Calculate the remainder when j is divided by -1*(-2)/((-2)/(-37)).
34
Let a = -800 + 861. What is the remainder when 5182 is divided by a?
58
Suppose 5*y + 2*o - 9774 = -364, -5*o = 25. Calculate the remainder when y is divided by 32.
28
Suppose 0 = -3*g + 94 + 167. Suppose y - 241 = -g. Calculate the remainder when y is divided by 32.
26
Let u(d) = 281*d + 1717. What is the remainder when 1145 is divided by u(-6)?
29
Let v be 1386/66 + 14/(-2). Suppose 7*h + v = 224. Calculate the remainder when 105 is divided by h.
15
Let i = -31382 - -32906. What is the remainder when i is divided by 14?
12
Suppose 89*h = 19*h - 40*h + 2310. What is the remainder when 808 is divided by h?
10
Let v = 6 + -3. Suppose 0 = -v*s - 6, 0 = -7*o + 3*o + 5*s + 38. What is the remainder when 20 - ((10 - 6) + -11) is divided by o?
6
Let u(s) = -2*s**3 + 30*s**2 - 15*s - 95. What is the remainder when u(-7) is divided by 269?
14
Let y(i) = 10*i**2 + 8*i + 11. Suppose -200*k = -191*k - 36. What is the remainder when y(k) is divided by 24?
11
Let d = 195 + -132. Suppose -3*v - 53 = -4*h - 13, 3*v = -4*h + 64. Calculate the remainder when d is divided by h.
11
Suppose -38*s + 56*s + 51*s - 6003 = 0. What is the remainder when 321 is divided by s?
60
Let x(b) = 33*b + 259. Let n(m) = 7*m + 51. Let f(d) = -22*n(d) + 4*x(d). Calculate the remainder when 23 is divided by f(-4).
1
Let k = -2412 + 4748. Calculate the remainder when k is divided by 147.
131
What is the remainder when 8275/7 - 4160/(-1456) is divided by 289?
29
Suppose -5 = 4*j - b, 8 = -3*j - 0*j + 5*b. Let d be 2/(-2) - (-21)/1. Let f = d - j. What is the remainder when f is divided by 12?
9
Suppose 8020 = 159*r + 4954 - 40182. Calculate the remainder when r is divided by 32.
16
Let g(c) = 17*c**3 - 2*c**2 - 3. Let h(z) = 14*z - 290. Calculate the remainder when g(3) is divided by h(26).
68
Suppose -g + 97 = -83. Suppose 4*r = 6 - 10. Let p(m) = -27*m**3 - 1. What is the remainder when g is divided by p(r)?
24
Suppose 10*n = -2*n + 360. Suppose 8*c = 6*c + n. Calculate the remainder when 43 is divided by c.
13
Let q = -172 - -165. Calculate the remainder when (-2 - 74)*q/(112/68) is divided by 54.
53
Suppose 138 = -20*z + 838. Calculate the remainder when 482 is divided by z.
27
Suppose -4 = -4*f - 0*l - 2*l, 4*l = -f + 1. Calculate the remainder when f*(-4)/2 - -23 is divided by 39*(84/36 + -2).
8
Suppose 2 = 2*w - 22. Suppose -5*n - 7508*m = -7506*m - 272, -m + 217 = 4*n. What is the remainder when n is divided by w?
6
Let b be (-9)/(((-6)/20)/1). Let w = b - 3. What is the remainder when w is divided by 83/14 + (-59)/(-826)?
3
Suppose 2*o - o = 2*z + 20, 2*o - 28 = -2*z. Suppose 109 = -4*h + 417. What is the remainder when h is divided by o?
13
Let k be (-340)/(-7) - 9/(-21). Suppose -k + 126 = 11*j. Suppose -j*a = -a - 774. Calculate the remainder when a is divided by 44.
41
Let k(w) = 285*w - 42044. Let v(n) = 2*n**3 + n**2 + 2*n - 1. Calculate the remainder when k(148) is divided by v(2).
21
Let q(o) = 10*o + 4. Suppose 2*h = 4*v - 10, 3*h = -4*v - 756 + 831. Calculate the remainder when q(6) is divided by h.
12
Let d = -35 - -38. Suppose -d*t + 4*j = 42, 3*j + 37 = -4*t + 2*j. Let w(o) = -o + 3. What is the remainder when w(t) is divided by 7?
6
Suppose -1124 = -153*m + 2*m + 990. Calculate the remainder when 23 is divided by m.
9
Let a(c) be the third derivative of c**5/20 - 13*c**4/24 - 7*c**3/3 + 2*c**2 - 8. Calculate the remainder when a(-5) is divided by 26.
22
Let m(g) = 20*g**2 + 7*g + 10. Suppose -3*i + 5*h + 219 = 0, -3*h - 89 - 192 = -4*i. What is the remainder when m(-5) is divided by i?
67
Let h = 57 - -26. What is the remainder when 282 is divided by h?
33
Suppose 0 = -18597*m + 18603*m - 594. Calculate the remainder when 997 is divided by m.
7
Let i be (1 - 11)/(6/9). Let q = 15 + i. Suppose 3*o - o - 220 = q. Calculate the remainder when o is divided by 28.
26
Suppose 0 = 5*g - 5*v - 95, -6*g + 3*v - 79 = -11*g. Suppose g*p - 180 = 11*p. Calculate the remainder when 179 is divided by p.
29
Let y(f) = -6*f**2 + 2*f - 1. Let g be (-112)/32*(-1 + (-3)/21). Let r be y(g). Let t = 118 + r. What is the remainder when 171 is divided by t?
26
Let v(f) = f**2 + 9*f + 20. Let l = -37 - -30. Let a be v(l). Calculate the remainder when 70 is divided by 20*(1 - a/15).
10
Let i(m) = m**3 - 34*m**2 - m + 29. L