 when f is divided by 7.
6
Suppose -z = 5*c - 9, 88*z = -c + 86*z. Calculate the remainder when 389 is divided by c.
1
Let s be 38/4 + (-2)/(-4). Let f(q) = -6 + s*q + 1 + 1 - 2. Calculate the remainder when 81 is divided by f(2).
11
Let f = -17 - -68. Let x = -67451 + 67481. Calculate the remainder when f is divided by x.
21
Let m(r) = 8*r + 3. Let y(n) = 11*n + 1. Let c be y(-1). Let i(k) = k**2 + 8*k - 12. Let f be i(c). Calculate the remainder when m(f) is divided by 34.
33
Let d = 57 + -28. Suppose -26*s = -d*s + 69. What is the remainder when 44 is divided by s?
21
Let h(z) = z**3 - 3*z**2 - 2*z + 11. Let j be h(6). Let t = 98 - j. What is the remainder when 2 + t/(-3) + 54 is divided by 12?
11
What is the remainder when (-1164)/(-2) - (-569 + 578) is divided by 288?
285
Let r(i) = -i. Let u(g) = 6*g + 21. Let z be (3 + -1)*(-25)/10. Let y(t) = z*r(t) - u(t). What is the remainder when 2 is divided by y(-23)?
0
Suppose 29*w = 16*w + 9971. What is the remainder when w is divided by 5423/99 + 2/9?
52
Suppose 3*g - 38 + 5 = -2*p, -2*p = -3*g - 15. Calculate the remainder when 63 is divided by (-26)/1*-2*3/p.
11
Let w = 355 - 245. Calculate the remainder when w is divided by (164/246)/(1/87).
52
Let d = 30 + -26. Suppose 0 = -d*z - 6 - 2. Calculate the remainder when 14 is divided by ((-24)/15)/(z/((-10)/(-1))).
6
Let z = 3372 + -3254. Calculate the remainder when 246 is divided by z.
10
Suppose -4*y - 4*d + 4696 = 0, -d - 2130 = -3*y + 1420. Calculate the remainder when y is divided by 312.
245
Suppose -53*j + 6633 = 55*j - 7839. What is the remainder when 675 is divided by j?
5
Let h(z) = -z**3 - 8*z**2 - 27*z - 152. Calculate the remainder when h(-10) is divided by 20.
18
Suppose 5*s - 13*s - 15040 = -12*s. What is the remainder when s is divided by 99?
97
Suppose 8*s + 6*s - 31220 = 0. What is the remainder when s is divided by 77?
74
Let y(s) = s**3 - 69*s**2 - 145*s + 231. Calculate the remainder when 1829 is divided by y(71).
11
Calculate the remainder when (((-10)/70)/(1/6))/(12/(-3192)) is divided by 227.
1
Suppose -5*u + 10*u - 2090 = -2*l, 3*l = -2*u + 836. What is the remainder when u is divided by 122?
52
Suppose 4*s + 9 = -0*y + 3*y, -6 = -2*y. Suppose 10*v - 6*v = 5*d + 193, -5*v + 5*d + 240 = s. Let b = -3 - -11. Calculate the remainder when v is divided by b.
7
Let l = 7136 - 7130. What is the remainder when 5110 is divided by l?
4
What is the remainder when 68 is divided by (-3 - 7)*-52*(-3)/(-30)?
16
Suppose -28*f = -8*f - 40. Let q(b) = 18*b**3 + b**2 - 4*b + 9. What is the remainder when q(f) is divided by 23?
11
Suppose -2*g + 436 = 2*a - 324, 5 = -5*g. Let l = 401 - a. What is the remainder when 36 is divided by l?
16
Suppose -x = l - 75, -4*l - 86 = -2*x + 94. What is the remainder when x is divided by 9?
8
Suppose 164*j - 155*j = 81. What is the remainder when 4 + 0 - 150/(-2) is divided by j?
7
Let x(i) = i**2 + 14*i - 13. Calculate the remainder when x(-15) is divided by 10 + (5 - (9 + 4)).
0
Suppose -s = -6*s - 3*o - 188, -2*s + 2*o - 72 = 0. Let c = s - -43. Let n(r) = 2*r**2. What is the remainder when c is divided by n(-1)?
0
Suppose 0 = l - g - 213, -5*l + 2*g = -0*g - 1062. Suppose -5*k = -3*p - l, 5*k - 10*k + 192 = 2*p. Calculate the remainder when k is divided by 11.
7
Suppose 35*y - 31*y - 17*y + 4264 = 0. What is the remainder when y is divided by 110?
108
What is the remainder when 4877 is divided by (73/(-2) + 16)*-2?
39
Let w = -85 + 89. Suppose -w*c - 114 = 158. Let y = c + 87. What is the remainder when y is divided by 10?
9
Suppose 0 = -13*z - z + 6*z. Suppose 3*y - 4*v - 78 = z, -4*v - 39 = -2*y + 9. Calculate the remainder when 143 is divided by y.
23
Suppose 2*r = -5*p + 169, -2*p - 4*r - 131 + 205 = 0. Calculate the remainder when 692 is divided by p.
32
Let y = 12125 + -6297. Calculate the remainder when y is divided by 17.
14
What is the remainder when (96 + 9)*56/12 is divided by 452?
38
Calculate the remainder when 1727 is divided by (-1 - -7)*35/(-140) - 2772/(-8).
2
Let u(b) = -5491*b + 11177. Suppose 110 = -t + 2*t. Suppose -3*z + 144 = 2*s - 3*s, -2*z - 4*s + t = 0. What is the remainder when u(2) is divided by z?
48
Suppose 119 = 13*u + 15. Suppose v - 12 = -5*z + z, 3*z - 9 = 4*v. Suppose 248 = 2*a + 5*w - w, -a - z*w = -127. Calculate the remainder when a is divided by u.
6
Let l = -300 - -661. What is the remainder when l is divided by 108?
37
Let t(g) = 211*g + 5892. Calculate the remainder when t(3) is divided by 61.
59
Suppose -13*y = y - 126. Suppose -2*k - 7 = -d, -y = -4*d + k + 33. Calculate the remainder when 175 is divided by d.
10
Suppose -9 - 39 = -6*h. Let g(v) = v**2 + 2*v - 5. Calculate the remainder when g(-7) is divided by h.
6
Let i = -195 + 203. Suppose 3*d + 3*l = 5*l + 62, 0 = -4*l + i. Calculate the remainder when 63 is divided by d.
19
Suppose 0 = 156*i - 35*i - 58806. What is the remainder when i is divided by 63?
45
Let v(g) = -8*g + 3. Let o be v(-3). Suppose m - 21 = o. Let j = -33 + m. Calculate the remainder when 119 is divided by j.
14
Suppose -22*f - 5951 = -376211. What is the remainder when f is divided by 263?
261
Suppose -3*g = -0*g - 42. Let f(l) = -11*l - 4*l + 171 - 5 - 15*l + 4*l. Calculate the remainder when f(5) is divided by g.
8
Let c(t) = -t**3 + 17*t**2 - 56*t + 20. Let o be c(12). Suppose 64*s - o*s = 4*x - 1332, 0 = -5*s + 10. What is the remainder when x is divided by 107?
10
Suppose 3*j + 194 = l, 3*j = 27*l - 29*l + 424. What is the remainder when l is divided by 69?
68
Let k(i) = -8*i + 116. Suppose 0 = -y - n + 33, -n - 4*n + 136 = 4*y. What is the remainder when y is divided by k(13)?
5
Let k(j) = 14*j - 52. Suppose -21*u = -4*u - 119. Calculate the remainder when k(u) is divided by 25.
21
Let s = -2705 + 2774. What is the remainder when 341 is divided by s?
65
Suppose 0 = 3*h + c - 74, 2*h + 61*c - 63*c - 68 = 0. What is the remainder when 538 is divided by h?
25
Suppose -92*a = -14089 - 41663. What is the remainder when a is divided by 173?
87
Let s = -10789 + 10846. Calculate the remainder when 2519 is divided by s.
11
Let s = 109 - 2. What is the remainder when s is divided by 2106/126*(-7)/(-3)?
29
Let v(w) be the first derivative of 137*w**3/3 + w - 32. Calculate the remainder when v(1) is divided by 71.
67
Suppose 5*y + 2*r = 190, -3*y + 8*y = -r + 195. Suppose -3*u + 5*s + 569 = 0, u + s = 4*u - 589. Calculate the remainder when u is divided by y.
38
Suppose 17*z + 510 = 32*z. Let f(i) = i**2 - 30*i - 23. Calculate the remainder when f(z) is divided by 39.
35
Suppose y + 14 = 52. Calculate the remainder when 477 is divided by y.
21
Suppose 2 = -2*k - 4*r + 22, 4*k = r + 13. Suppose -k = 4*b - 8, -2*o - 3*b = -219. Calculate the remainder when o is divided by 11.
9
Let g = 195 - 192. Suppose 4*o - g*w - 106 = 0, -3*w = -0*o - o + 22. Calculate the remainder when 97 is divided by o.
13
Let d = -3385 - -3394. Calculate the remainder when 763 is divided by d.
7
Let f(k) = 3*k**2 - 153*k - 1592. Calculate the remainder when 2547 is divided by f(60).
27
Suppose 530*g - 532*g + 88 = 0. Calculate the remainder when 361 is divided by g.
9
Calculate the remainder when 2849 is divided by ((-6)/(-4 + 2))/(-2*(-1)/38).
56
Let m = 33 - -1. Let j = m - 6. Suppose -n = n - j. Calculate the remainder when 69 is divided by n.
13
Suppose -1772*x + 14 = -1765*x. Suppose w + 3*g - 571 = 0, 6*w - x*g - 3486 = -5*g. Calculate the remainder when w is divided by 39.
37
Let p(f) = 67*f - 2225. Calculate the remainder when p(37) is divided by 14.
2
Let a(y) = -127*y - 398. Calculate the remainder when 111 is divided by a(-4).
1
Let t(r) = -4*r**3 - 16*r**2 - 41*r - 291. Calculate the remainder when t(-8) is divided by 6.
5
Suppose 12*u - l - 8 = 7*u, -l - 2 = u. Let q(x) = 102*x. Calculate the remainder when q(u) is divided by 15.
12
Let m = 3 + 96. What is the remainder when m is divided by (-1024)/(-30) + (-96)/720?
31
Let g = 6520 + -3232. Suppose -4278 = -10*a - g. Let m(q) = q + 10. Calculate the remainder when a is divided by m(0).
9
Let a = -2 + 21. Let w(p) = -6*p - 50. Let f(i) = 8*i - 105. Let z be f(12). What is the remainder when a is divided by w(z)?
3
Let r = 160 + -160. Let a(o) = o**3 + o**2 + 3*o + 153. Calculate the remainder w