 - 4. Let r be n(-6). Calculate the remainder when 15 + -2 + (10/r)/5 is divided by x.
4
Let w = -4109 - -4143. Calculate the remainder when 53 is divided by w.
19
Let s(h) = -h**2 + 10*h + 18. Suppose 7*v = -119 + 182. What is the remainder when 101 is divided by s(v)?
20
Suppose 59*t = 7961 + 3780. Suppose 0 = -11*i + 879 - 175. Calculate the remainder when t is divided by i.
7
Let g(j) = j**2 + 2*j. Let n = 13 + 27. Suppose 7*f + f = n. What is the remainder when 138 is divided by g(f)?
33
Suppose 15*c - 318 + 48 = 0. Let p = 12 + -169. Let x = -88 - p. Calculate the remainder when x is divided by c.
15
Suppose 2*a + 34*a - 19260 = 0. What is the remainder when a is divided by 112?
87
Suppose -48 = 4*c - 6*c. Let n be -1*85 + 3 + (-2 - 1). Let v = n - -179. What is the remainder when v is divided by c?
22
Let r(j) be the second derivative of -j**5/20 + j**4/4 + j**3/6 - j**2/2 + j - 14. What is the remainder when 29 is divided by r(-2)?
12
Let b = 851 + 119. What is the remainder when b is divided by 9?
7
Suppose -3*x + 85 = 2*x. Suppose 140 = -7*c + x*c. Suppose t = -d - t + c, -4*t = 3*d - 46. Calculate the remainder when d is divided by 5.
3
Let m = -133 + 139. What is the remainder when 180 is divided by ((-104)/(-10))/(m/15)?
24
Let k(y) = 2*y**3 + 7*y**2 - y - 3. Let g be (-4*1)/((-10)/60). Let x = g - 27. Calculate the remainder when 16 is divided by k(x).
7
Let n be 5/(-4) + ((-135)/20)/9. Calculate the remainder when 80 is divided by 50/(-5)*15/(-6) - n.
26
Suppose 13*z = -4*z + 442. What is the remainder when z is divided by (-93)/(-7) + (-8)/28?
0
Let j be 1*-9*40/(-36). Suppose -4*v + 2*v = 4*f + 6, -5*f = 4*v + 3. What is the remainder when 22 is divided by (28/j)/((-26)/10 + v)?
1
Let h = 47 - 44. Suppose -8*w + 33 = h*w. Calculate the remainder when 172 is divided by (4 - 6) + w - -43.
40
Suppose -228*u - 65 = -233*u. Suppose 2*q - 4*f - 592 = 294, q - 3*f = 445. Calculate the remainder when q is divided by u.
10
Suppose -t + 9*j = 5*j - 3943, -t + 3927 = -2*j. What is the remainder when 3917 is divided by t?
6
Let a(g) = g**3 + 26*g**2 + 13*g - 28. Let u be a(-26). Let f = u - -390. Calculate the remainder when f is divided by 2.
0
Let a(t) = 13*t - 5. Let m(y) = -40*y + 9. Let i(l) = 7*a(l) + 3*m(l). Suppose 0 = -4*r - 20. Calculate the remainder when i(r) is divided by 47.
43
Let y(x) be the second derivative of 1/12*x**4 + 0 + 51/2*x**2 + 11/3*x**3 + 17*x. Calculate the remainder when y(-21) is divided by 13.
4
Let i(s) = -s**2 - 13*s + 170. Let h be i(-19). Suppose -h + 89 = 11*b. What is the remainder when 10 is divided by b?
1
Let w(d) = 2*d**2 - 14*d + 25. Let f = 250 + -239. What is the remainder when 790 is divided by w(f)?
112
Suppose 24*m + 102 = 534. Calculate the remainder when 338 is divided by m.
14
Let q = -560 + 594. Calculate the remainder when 156 is divided by (34/q)/(2/104).
0
Let j = 13 - -278. Let v = j + -244. What is the remainder when v is divided by 41?
6
Suppose -15*j - 236 = -1961. Suppose -2*r = 2*a - 14, 5 = -2*r + r + 3*a. Calculate the remainder when j is divided by r.
3
Calculate the remainder when 1430 is divided by (-14214)/(-10) - (-29 + (-1520)/(-50)).
10
Let h = 263 + -259. Suppose 130 = 2*f - h*k, -2*f - f - 4*k + 205 = 0. Calculate the remainder when 937 is divided by f.
66
Let i(l) = 8*l**2 + 18*l + 410. Calculate the remainder when i(-9) is divided by 83.
66
Suppose 4019*v - 3992*v - 297 = 0. Suppose 2*u = -3*g + 6*g + 316, -836 = -5*u - 4*g. Calculate the remainder when u is divided by v.
10
Suppose -3*l - 5*s = 214, 5*l = -s - 3*s - 361. Let c = -65 - l. What is the remainder when 108 is divided by c?
4
Suppose 5*d = 5*z - 325, 0 = 5*z - d - 411 + 106. Suppose -11*i + 7*i - 220 = 0. Let f = z + i. Calculate the remainder when 7 is divided by f.
2
Let i be -2 - (-223 - 14 - (-4 - -1)). Let q = i - 193. Calculate the remainder when (1 + -2)/(7/(-1351)) is divided by q.
37
What is the remainder when (-176)/(-88)*((-6572)/8)/(-1) is divided by 819?
5
Suppose 5*g + r - 5 = 5, 3*g + 5*r + 16 = 0. Suppose -2*q + g*k + 55 = -0*k, -2*q = -2*k - 60. What is the remainder when q is divided by 295/(-354) + 77/6?
11
Let w be (-88 - -90)/(2/62). Suppose n - w = 11. What is the remainder when n is divided by 20?
13
Suppose 3*b + 3*x + 6 = 0, 20 = 5*b - 2*x + 2. What is the remainder when b - ((-259)/(-14))/(2/(-16)) is divided by 6?
0
Suppose 555 = -j - 3*p + 671, -j - 2*p = -111. Calculate the remainder when 503 is divided by j.
99
Suppose 2921 = 72*j + 1464 - 6031. Calculate the remainder when 129 is divided by j.
25
Suppose 836 = 50*v - 864. Calculate the remainder when 469 is divided by v.
27
Suppose -1181 = 20*a - a - 3385. What is the remainder when a is divided by 99?
17
Suppose 5*b - 22 = -q + 5, -21 = -3*q - 3*b. Suppose -11 = 4*f + 3*g, 5*f + 4*g = q*g - 5. What is the remainder when 21 is divided by (-2)/2 + 14/f?
8
Let o(r) = 6*r**2 - 48*r + 100. Calculate the remainder when 602 is divided by o(8).
2
Let j be 3 + 10/(-6) + (-25)/(-15). Suppose j*k + 72*p = 69*p + 228, 0 = 3*k + 5*p - 224. What is the remainder when k is divided by 41?
37
Let t = 260 - 258. Suppose -t*i + 87 = -5*w, 5*w = i - 59 + 23. What is the remainder when 149 is divided by i?
47
Let w(d) = 56*d - 1473. What is the remainder when 81 is divided by w(27)?
3
Suppose 0*n + 7 = 7*n. Let g be (0/(-5))/(2/(n + -2)). Suppose -6*q + 3*q + 9 = g. Calculate the remainder when 11 is divided by q.
2
What is the remainder when -5 - (2 - 65/25)*21845 is divided by 16?
14
Let y(n) = 27*n - 110. Let s be y(5). Suppose -123 = -3*m + 3*r, -r + s = -6*r. What is the remainder when 73 is divided by m?
1
Suppose 23*y - 27*y + 140 = -r, 3*y - 124 = -4*r. What is the remainder when 4715 is divided by y?
35
Suppose -3*h + m + 18 - 11 = 0, 0 = -4*h + 4*m + 4. Suppose 0 = -3*a + v + 404, -h*a - 542 = -7*a + 2*v. Calculate the remainder when a is divided by 27.
25
Let d = -15060 + 15601. Calculate the remainder when d is divided by 264.
13
Let w(j) = -29*j + 395. Calculate the remainder when w(-31) is divided by 18.
16
Suppose -3*k + 10*k = 196. Let g = 30 + k. What is the remainder when g is divided by 21?
16
Let n(y) = -37*y - 193. Let w be n(-18). Let d(r) = 8*r - 3. What is the remainder when -11 - w/(-44) - (-325)/4 is divided by d(3)?
18
Let z = -482 - -481. What is the remainder when 20 is divided by (1 + -6 + -3)/z?
4
Suppose -t + 1 + 2 = 0. Suppose 3*d - 7 = t*q + 2*q, -4*d + q + 32 = 0. Suppose -h - 71 + 85 = 0, 4*h + 59 = 5*j. What is the remainder when j is divided by d?
5
Let k(s) = -s**3 - 26*s**2 - 30*s + 92. What is the remainder when k(-25) is divided by 110?
107
Suppose 0 = -3*u + 11 - 2. Let n(v) = 24*v - 1. What is the remainder when n(u) is divided by (-4)/(-2) - (16/(-10))/(4/10)?
5
Let w = 1033 + -1029. Let s(j) = j**3 + 5*j**2 + 2*j + 2. Let b be -3*((-2)/3 - -2). Calculate the remainder when s(b) is divided by w.
2
Suppose 110*c - 105*c = -1025. Calculate the remainder when 1 - c/(0 - -5) is divided by 5.
2
Let s(c) = -2*c**2 - 22*c + 8. Let l be s(-11). Let y(d) = -d**3 + 10*d**2 - 6*d - 23. What is the remainder when y(l) is divided by 15?
12
Suppose -3*m - l + 65 = -5*l, 0 = 4*m - l - 104. Let u(q) = 32*q - 336. What is the remainder when m is divided by u(11)?
11
Suppose -2*d - 4 = 4, -3*o = -3*d - 276. What is the remainder when o is divided by 5/(100/316) + (-176)/(-80)?
16
Let r = 5631 + -5607. What is the remainder when 479 is divided by r?
23
Let n be (698/(-8))/((-49)/8 - -6). Suppose 16*x = 6938 - n. What is the remainder when x is divided by 8?
6
Suppose -5*f - 8 - 7 = -3*a, 0 = 4*a + f - 43. Suppose 0 = 5*y - a, -7*t + 2*y = -3*t - 48. What is the remainder when 518 is divided by t?
11
Suppose 858 = 103*l - 3468. Calculate the remainder when 2351 is divided by l.
41
Let i(d) = 19*d**3 + 75*d**2 - 24*d + 9. What is the remainder when i(-4) is divided by 11?
1
Suppose 0 = -6*f - 4*s + 35708 + 3246, -3*s = -5*f + 32487. Calculate the remainder when f is divided by 18.
15
Suppose 208 = 2*b - 8*w + 4*w, b - w - 99 = 0. What is the remainder when 5/((-15)/(-12)) + (202 - 9) is divided by b?
9
Suppose -2*r - 879 = -3*v, 5*v - 3*r - 976 = 489. Calculate the remainder when v is divided by 43 - 10*10/100.
41