e the remainder when 0 - 2*(-135)/10 is divided by 15.
12
Suppose 90 = 3*k - n, -3*k = 4*n - 0*n - 75. Let z be (-6)/(-9)*21/2. Let v(d) = d**2 - 5*d - 4. Calculate the remainder when k is divided by v(z).
9
Suppose 403 = 5*l + 93. Calculate the remainder when l is divided by 16.
14
Let y(v) = -7*v. Suppose -f + 23 = -5*u, -2*f - 5*u - 31 = f. What is the remainder when 53 is divided by y(f)?
11
Suppose 4*p - 2*z - 28 = z, 0 = z. Let f be (-2)/2 + -1*5. Calculate the remainder when 13*4*(-3)/f is divided by p.
5
What is the remainder when 68 is divided by ((-12)/16)/(-3)*92?
22
Suppose 2*w - 5*w + 12 = d, d = 3*w - 12. Let y be (0 - (-18)/4)*-20. Calculate the remainder when y/(-8) + 1/(-4) is divided by w.
3
Suppose 0 = 12*i - 9*i - 15. Calculate the remainder when i is divided by 2.
1
Let m(z) be the first derivative of z**3/3 - z**2/2 - 3*z + 6. Calculate the remainder when m(4) is divided by 4.
1
Suppose 14*j + 38 - 80 = 0. Let l(y) = 4*y - 4. What is the remainder when l(3) is divided by j?
2
Suppose -17*i - 105 = -22*i. Suppose 30 = l + 4*l. Calculate the remainder when i is divided by l.
3
Suppose -j = -3*a + 14, 3*a + j - 3*j = 19. Let w = -8 - -13. What is the remainder when w is divided by a?
2
Let v(w) = w + 8. Let t be v(-6). Calculate the remainder when 3 is divided by (-2)/(1*(-2)/t).
1
Let q be -3*(1 - -1 - 3). Let t = -15 + q. What is the remainder when 23 is divided by (-3)/(2 - (-27)/t)?
11
Let q(a) = 12*a - 107. Suppose -b = 2*p - 53, 5*p = 2*b - 37 - 51. Suppose c + b = 2*c. What is the remainder when c is divided by q(10)?
10
Suppose 3*f - 7 = 20. Let g = 2 - 2. Let n = 17 - g. What is the remainder when n is divided by f?
8
Suppose -3*q - 15 - 49 = -4*c, 4 = q. Calculate the remainder when 52 is divided by c.
14
Let z be ((-1)/(-1))/(1/4). Suppose -4*g = -z*w - 32, -g + w = 4*w + 8. What is the remainder when 7 is divided by g?
3
Suppose 0 = 5*b + 4*f, -2*b + 6*b = 4*f. Suppose 3*i - 6*i = b. Calculate the remainder when i + 24*1 - -1 is divided by 13.
12
Let z be 0 - (-1 - (-2 - -5)). Suppose z*g + g - 35 = -5*m, -g = -4*m - 2. Let i = -11 - -15. What is the remainder when g is divided by i?
2
Let k(c) = -c**3 + 12*c**2 + 14*c + 5. Calculate the remainder when 31 is divided by k(13).
13
Let a = 4 - 0. Calculate the remainder when 5 is divided by a.
1
Let h(f) = 28*f - 3. What is the remainder when h(3) is divided by 21?
18
Suppose 3*l + 40 = 5*k, 0 = l - 4*l + 4*k - 41. What is the remainder when 21 is divided by ((-27)/l)/((-9)/(-30))?
3
Let x(v) = 15*v - 2. Let i(y) = 14*y - 2. Let f(s) = -3*i(s) + 2*x(s). Let q be f(-4). What is the remainder when (-1)/((-2)/q) + -1 is divided by 13?
11
Suppose 0*u = -4*u + 192. Let a = -29 + u. What is the remainder when a is divided by 10?
9
Suppose 5*l - 5*r = 75, -4*l - 3*r + 2*r + 60 = 0. What is the remainder when 29 is divided by l?
14
Let i = -2 + 4. Suppose -30 = -2*a - i. What is the remainder when 0/(0 + 2) - -26 is divided by a?
12
Let k(x) = -2*x**3 + 2*x**2 + x. Let w(s) = -s + 2. Let i be w(3). Let p be k(i). What is the remainder when 28 is divided by ((p - -1) + -3)*15?
13
Let p(r) = -3*r - 4. Let w be p(4). Let k be (-3)/6 - 71/(-2). Let d = k + w. What is the remainder when d is divided by 11?
8
Let c(i) = 3*i + 22. What is the remainder when 127 is divided by c(-2)?
15
Suppose -3*b = -1 - 14. Let z(l) = 3*l + 5. Suppose 2*w - 2 = 4*v, -w + 4*v + 26 = 7*v. What is the remainder when z(b) is divided by w?
9
Let b = -15 + 15. Suppose -g + b*g = -32. What is the remainder when g is divided by 11?
10
Let i = -246 + 400. Calculate the remainder when i is divided by 52.
50
Suppose 0 = -5*c + 3*u + 271, 0 = -3*c - 4*u + 48 + 103. What is the remainder when c is divided by 27?
26
Suppose -5*q - 2*d + 100 = -d, 5*q = -2*d + 105. Calculate the remainder when q is divided by 11.
8
Suppose 4*u = 2*l + 82, -3*l - 3*u = -6*l - 126. Let x = l - -76. Suppose -4*b + 65 = -3*h, b - 4*b + x = 3*h. What is the remainder when b is divided by 5?
4
Suppose -w = -3*q + 13, w - 38 = -5*q - 11. Suppose -3*h - m = h - 79, 5*m = q*h - 105. What is the remainder when h is divided by 7?
6
Let o(m) = -9*m + 7 + 0*m**2 + m**2 + 2*m. Let s be o(6). Calculate the remainder when 21 is divided by (22/8)/(s/4).
10
Suppose 5*h - 32 + 7 = 0. Suppose 3*d - 113 = -o, 0 = 5*d - 2*o - 2*o - 211. Suppose n + d = 4*n. Calculate the remainder when n is divided by h.
3
Let l(o) = -2*o**3 - o**2 - 3*o - 2. What is the remainder when 59 is divided by l(-2)?
11
Suppose 5*l + 2*p - 66 = -17, 41 = 5*l - 2*p. What is the remainder when 44 is divided by l?
8
Suppose -3 = -2*d + 1. Suppose d - 7 = -u. Suppose x - 2*o - 6 = 7, 22 = -x - 5*o. Calculate the remainder when u is divided by x.
2
Let d be (25/(-3))/((-3)/18). Let j = 59 + d. Suppose 5*f - j = -24. Calculate the remainder when f is divided by 6.
5
Let g(o) = -o**3 - 7*o**2 + 7. What is the remainder when g(-7) is divided by 4?
3
Calculate the remainder when 45/105 + 95/7 is divided by 5.
4
Let t(n) = -n + 1. Let c be t(5). Let a = 31 - 10. What is the remainder when a is divided by 18/(3 - (-6)/c)?
9
Calculate the remainder when 25 is divided by (-111)/(-12) - 1/4.
7
Suppose 3*c - 12 = -0. Let l = 13 - 2. Calculate the remainder when l is divided by c.
3
Suppose -2*z - 2 = -0*z. Let a = -7 + 26. Calculate the remainder when a is divided by z + ((-16)/(-2) - 0).
5
Let u(y) = -y**3 + 5*y**2 + 2*y + 5. What is the remainder when 27 is divided by u(5)?
12
What is the remainder when 13 is divided by -2*2/(-4)*(1 + 2)?
1
Let l = -172 + 290. Calculate the remainder when l is divided by 20.
18
Suppose -2*w = -58 - 66. What is the remainder when w is divided by 32?
30
What is the remainder when 52 is divided by 4*(-2)/4 + 13?
8
What is the remainder when 54 is divided by ((-44)/(-55))/(-2 + (-336)/(-165))?
10
Let r be -2*(14/(-4) - -2). Calculate the remainder when 35 is divided by 1/(168/(-57) + r).
16
Let g(a) = a**2 + 1. Suppose -5*s = -0*s - 15. What is the remainder when 39 is divided by g(s)?
9
Let y = 2 + 4. Calculate the remainder when 25 is divided by (14/y)/(2/6).
4
Let g(a) = a - 11. Let l be g(6). Let z = 8 + l. What is the remainder when 13 is divided by 10/(-3)*z/(-2)?
3
Suppose 90 = 4*r + r. Suppose 4*l - t + 34 = 0, -5*t + 12 + 22 = -3*l. Let y = r + l. Calculate the remainder when 29 is divided by y.
9
Suppose 3*u + 2*h = 4 + 34, 19 = 2*u - 5*h. Let q = -13 - -58. What is the remainder when q is divided by u?
9
Let l(a) = a**2 + 6*a + 4. Suppose w + 60 = 4*w. What is the remainder when w is divided by l(-7)?
9
Let n(p) be the second derivative of p**4/12 - 2*p**3/3 - 3*p**2/2 + 3*p. Let g be n(5). Suppose -g - 59 = -d. What is the remainder when d is divided by 16?
13
Let t(g) = -g**3 + 10*g**2 + 13*g + 12. What is the remainder when t(11) is divided by 9?
7
Suppose 0 = 2*u - 49 - 25. Let o(v) = v + 16. Let j be o(-12). Suppose -53 = -j*l - 1. Calculate the remainder when u is divided by l.
11
Suppose -8*o + 10*o + 4*x - 82 = 0, o - 4*x - 23 = 0. Calculate the remainder when 103 is divided by o.
33
Suppose 0 = 4*h - p - 10 - 26, 4*h = -5*p + 60. Suppose 0 = 3*r - 0*r. Suppose 0 = -a - r*a + h. What is the remainder when a is divided by 6?
4
Let p(k) = 3*k**3 - 2*k**2 - k. Let x be p(2). Let b = -8 + x. Suppose -47 = -5*m + 4*i, -7 = 3*m + 3*i - 46. What is the remainder when m is divided by b?
5
Let b(q) = q**3 - 3*q**2 - q + 6. Let o be b(6). Suppose 0 = -4*v + v + o. Calculate the remainder when v is divided by 13.
10
Let v(h) = 2*h**2 - 2*h + 7. Calculate the remainder when 32 is divided by v(2).
10
Calculate the remainder when 51 is divided by (12/3 - -8) + -2 + 3.
12
Let b(j) = -j**2 - 12*j + 18. Suppose 6*k - 2*k = 56. What is the remainder when k is divided by b(-13)?
4
Suppose -29 + 2 = -3*v. Let k = v + 14. What is the remainder when 89 is divided by k?
20
Suppose 15 = -k - 53. Let l = k + 97. What is the remainder when l is divided by 15?
14
Let q(d) = -d**2 - 6*d - 6. Let v be q(-4). Suppose 4*w + 6*f = v*f + 36, -3*w = -3*f - 3. Calculate the remainder when 9 is divided by w.
4
Let t(a) = a**2 - 9*a + 7. Let j be t(10). Suppose 5 = -5*f, -3*l + 3*f + j = -4*l. Let s = l + 28. What is the remainder when 40 is divided by s?
12
Let o(a) = 