ppose -5*c = -4*i, 5*c - 10 = -2*i - 40. Let a be 385/(-9) - c/(-18). Let l = a + 122. Calculate the remainder when l is divided by 20.
19
Suppose 615 - 303 = 4*p. Calculate the remainder when 700 is divided by p.
76
Let l(c) = -35*c - 3. Suppose 3*b + 2*b = -u + 3, -3*u + 9 = -5*b. Suppose b = -2*w + 30 + 26. What is the remainder when l(-4) is divided by w?
25
Let o(r) = 7*r**2 + 10*r - 98. Calculate the remainder when o(6) is divided by 106.
2
Suppose 6*s + 117 = 8*s - 5*x, -4*x - 252 = -4*s. What is the remainder when s is divided by 19?
9
Let s = 4486 - 3061. What is the remainder when s is divided by 28?
25
Suppose y - 5 - 78 = -o, -5*y = 3*o - 249. Suppose 82*t = o*t - 48. Calculate the remainder when t is divided by 18.
12
Suppose 3*q + 0*p - 4*p = 332, 2*q - 218 = p. Calculate the remainder when q is divided by 26.
4
Let t = 0 + 7. Let v(r) = -8 + 5*r + 7 + 9. What is the remainder when v(t) is divided by 11?
10
Let c = -47 + 45. Let l = 11 - c. What is the remainder when l is divided by 11?
2
Suppose 21*b - 25*b = -2*h - 78, -76 = -4*b + 4*h. Calculate the remainder when 93 is divided by b.
13
Let g(f) = 8*f + 31. Let m be g(-12). Let c = m - -80. What is the remainder when 55 is divided by c?
10
Suppose 4*s + 4*b - 503 = s, -5*b + 175 = s. Suppose v - s = -4*v. What is the remainder when v is divided by 12?
9
Suppose 0 = 20*n - 3185 - 8135. Calculate the remainder when n is divided by 21.
20
Let u = 6 - -69. Suppose 4*x - 81 = u. Calculate the remainder when x is divided by -7*4/(-42)*15.
9
Let f be (-4)/(-1)*(-7)/(-4). Suppose 5*h = f*h - 30. Calculate the remainder when h is divided by 4.
3
Let j(f) = -f**3 - 12*f**2 + 2*f + 17. Let q be j(-12). Let n = 11 + q. What is the remainder when 15 is divided by n?
3
Let m = 51 - 21. Let o = -16 + m. Calculate the remainder when 80 is divided by o.
10
Let t be (3 - 35/10)/(1/16). Let o(q) = q**3 + 10*q**2 + 5*q - 2. Calculate the remainder when o(t) is divided by 18.
14
Let l be (-14)/(-4)*(-16)/(-14). Suppose 456 + 68 = l*k. Suppose 5*z + 2*f - k = 0, 4*z = 5*f + 67 + 18. Calculate the remainder when z is divided by 13.
12
Let p = -693 + 768. What is the remainder when 897 is divided by p?
72
Suppose 12 = n + 13. Let x(k) = 36*k**2 - 4*k - 3. Calculate the remainder when x(n) is divided by 10.
7
Let d(n) = -n**2 + 2*n - 2. Let f be d(4). Let l(t) be the third derivative of -t**4/8 - 5*t**3/2 + 15*t**2. Calculate the remainder when l(f) is divided by 4.
3
Let r = 10 - 6. Let f be ((-6)/7)/(5/(-70)). What is the remainder when -2 - (1 - f - -3) is divided by r?
2
Suppose h + 2 = 6*h + 2*w, 3*h - 5*w = 26. Suppose 4*b + r - 12 = 0, -3*b + 12 = -7*b + 5*r. What is the remainder when 3 - ((-16)/h - -4) is divided by b?
1
Suppose 4*y - 2 = -k + 13, -3*k - 4*y = -21. Let g(q) = 2*q**2 - 5*q - 1. What is the remainder when 5 is divided by g(k)?
1
Let h = -1 - -30. Let k = -135 + 242. What is the remainder when k is divided by h?
20
Suppose -478 = -4*z - 4*b + 58, -3*z - 4*b + 405 = 0. Let a = -158 - -175. Calculate the remainder when z is divided by a.
12
Let c = 370 + -346. Calculate the remainder when 148 is divided by c.
4
Let n = 30 - -89. Calculate the remainder when (-3 + (n - 2))*6/9 is divided by 11.
10
Let a(k) = k**2 - 4*k + 13. Let h be a(7). Calculate the remainder when 8/(-68) + -7*(-462)/h is divided by 32.
31
Suppose 0 = 3*x - 6, 5*l - 40 = 3*x + 179. Suppose 94*m = 91*m + 480. Let g = m - 137. What is the remainder when l is divided by g?
22
Let o(j) = -j - 5 + 0 - j**3 + 3*j - 1 + 5*j**2. Calculate the remainder when o(5) is divided by 3.
1
Suppose h - r - 20 = -2*h, -2*r + 15 = 5*h. Suppose 2*t + t + 19 = 5*s, -s = -h. What is the remainder when (-8)/(-2) + -1 + 4 is divided by t?
1
What is the remainder when (3 - (-4 - -25)*6)/(-1) is divided by 15?
3
Let d(q) = q**3 - q**2 + 3*q - 2. Let y be d(2). Let r(a) = a**2 - a + 97. What is the remainder when r(0) is divided by ((-25)/2)/(4 - 36/y)?
22
Let u = 541 + -533. What is the remainder when (-2 - -3)/((-1)/(-21)) is divided by u?
5
Suppose -9*y - 101 = -425. What is the remainder when 51 is divided by y?
15
Let k(o) = o**2 - 3*o - 3. Let l be k(3). What is the remainder when 34 is divided by 14 - (-5 + l + 4)?
16
Suppose 8*m - 7*m = 777. Calculate the remainder when m is divided by 60.
57
Let g = 55 - 30. Suppose -5*j - 8*o = -12*o - 20, 3*o + g = 5*j. Calculate the remainder when 70 is divided by j.
6
Suppose 0 = -b - 3*s + 13, 0 = 3*b + 4*s - 2 - 27. What is the remainder when 209 is divided by b?
6
Let b be (-3)/((-2)/(32/(-6))). Let r(k) = -k**2 - 25*k + 7341. What is the remainder when r(-99) is divided by 2/b + 13/4?
0
Let f(r) = 2*r**2 + r + 14. Let j be f(-7). Suppose -4*t = -t + 2*i - 66, 0 = 4*t - 3*i - j. What is the remainder when 35 is divided by t?
11
Let z = 599 + -553. Calculate the remainder when 78 is divided by z.
32
Let l = 7 - -46. Let w(g) = -2*g**2 + 8*g + 2. Let h be w(4). Suppose -h*n + 2*a + 36 = 0, 6*a + 20 = a. Calculate the remainder when l is divided by n.
11
Let v = 5 + 2. Suppose 6*y = 4*y. Suppose -3*r = -2*j - 88, -j + y*j - 5 = 0. What is the remainder when r is divided by v?
5
Let u(j) = -j**2 + 6*j + 10. Let w be u(7). Suppose 0 = w*g - g - 4. Calculate the remainder when 43 is divided by (-21)/(-1) - (0 - g).
20
Suppose -5*d = 5*p - 25 - 35, -3*p + 3*d + 60 = 0. Calculate the remainder when 59 is divided by p.
11
Suppose 18*m = 275*m - 735 - 36. Let i = -1 - -2. Let p = i + 0. What is the remainder when m is divided by p?
0
Let p = -3 + 15. Let c = 4568 + -4547. Calculate the remainder when c is divided by p.
9
Suppose -3*t + 9 = 2*d, -5*t = 2*d + 10 - 25. Suppose d = -5*g + 54 + 41. Calculate the remainder when 93 is divided by g.
17
Let m = -68 - -68. Suppose 14*k - 8*k - 174 = m. What is the remainder when 113 is divided by k?
26
Let u(s) = -13*s - 22. Let w be u(-5). Suppose 15 = -c + w. What is the remainder when 52 is divided by c?
24
Let l(i) = -i**2 + 3*i + 3. Let y be l(3). Suppose -5*s = -7 - y. Suppose 4*n = 5*b + 102, s*n - 4*b = n + 31. What is the remainder when 44 is divided by n?
21
What is the remainder when 75 - (1 + 3/3) is divided by -93 - -128 - (-5 + 2)?
35
Suppose -2*g - 4*j = -362, 48 = -g - 5*j + 232. What is the remainder when g is divided by 15?
14
Let o = 43 + -39. Suppose o*f - 2*z - 2*z = -40, 4*z + 14 = -5*f. What is the remainder when 4 is divided by (4 + f)*1 + 4?
0
Let v be (-2)/4 - 65/(-10). Let y be 2/1*(-9)/6. What is the remainder when y + v - 1 - -1 is divided by 2?
1
Let j be 340 + (-3)/(((-45)/(-6))/5). Suppose 100 + j = 6*w. What is the remainder when w is divided by 19?
16
Let h be 8/4 - (3 + -5). Suppose -2*c - h*l - 6 = 0, -4*l + l = -c + 7. Let n(i) = 25*i - 1. What is the remainder when n(c) is divided by 5?
4
Suppose -v + 17 = d, 8*d - 2*v = 5*d + 56. Calculate the remainder when 465 is divided by d.
15
Suppose 16 = -s - 4*r, 2*s + r = -0*s - 4. Suppose 2*m = 8, k - 4*m + 1 + 5 = s. What is the remainder when 10 is divided by k?
0
Let q = 14 + -7. Suppose -3*w + 102 = -5*k - q*w, 4*k = -3*w - 81. Calculate the remainder when (-1431)/k + (-1)/2 is divided by 27.
25
Let o be (-1)/4 - ((-189)/(-12))/(-3). Suppose -m = 3, o*j - 5*m - 79 = 1. What is the remainder when 71 is divided by j?
6
Let c = -224 - -229. Suppose 2*z = 1 + 3. Suppose 3*f = 4 + z. Calculate the remainder when c is divided by f.
1
Suppose 4*l + 108 = 4*m, 3*l + 111 = 8*m - 4*m. What is the remainder when m*1*2/4 is divided by 4?
3
Suppose 19*o = 45 - 7. What is the remainder when 15 is divided by o?
1
Let z(c) = c**3 - 4*c**2 + 3*c - 12. Let l be z(9). Calculate the remainder when 45 is divided by l/18 + 1/(-3).
22
Let x(f) = -8*f**3 + f**2 + 2*f + 1. Suppose 4*s + 198*c - 14 = 201*c, 10 = 3*s - 2*c. What is the remainder when x(-1) is divided by s?
0
Let x be (-160)/16 - (1 - 3). Let s be 6/(-2 + 39/24). What is the remainder when 26 is divided by 29/2 - x/s?
12
Suppose -360 = -105*j + 87*j. Let m be 24 - (-1 + -1 - -3). Let r = m + -12. What is the remainder when j is divided by r?
9
What is the remainder when 161 is divided by (-3)/(-8) + 25185/552?
23
Let v be (-15)/2*8/(-12). Suppose 74 = -v*f - 226. Calculate the remainder when 11 is divided by (-8)/12 + f/(-9).
5
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