
13
Let x(y) = 4*y**2 + 21*y - 65. Suppose q + 4*q = 15. Suppose 11 = -q*a + 83. Calculate the remainder when x(-9) is divided by a.
22
Suppose -29*y + 2*y = -4077. Calculate the remainder when y is divided by 12.
7
Suppose 0 = -11*s + 10*s - 40. Let j = s - -60. What is the remainder when (-1)/2 + (-155)/(-2) is divided by j?
17
Suppose 26 + 2 = -4*q. Let m = 39 - 27. Calculate the remainder when q*(2 + -3)*3 is divided by m.
9
Let l be ((-8166)/8)/(-3) + 3/(-12). Suppose -9*h = -4*h - l. Calculate the remainder when h is divided by 7.
5
What is the remainder when (1 - -3)/(120/3900) is divided by 17?
11
Suppose 48*p - 21055 = -7663. What is the remainder when p is divided by 56?
55
Let h = 47 - 48. Suppose 2*z - 34 = -2*y, z + 4*y - 85 = -4*z. What is the remainder when 49 + 6/3 + h is divided by z?
16
What is the remainder when (243 - -2)/5 + -3 + 6 is divided by 21?
10
Suppose s - 8 - 17 = 0. What is the remainder when 144*(10/12)/(70/42) is divided by s?
22
Suppose 0 = -p + 4*j + 3, -12*p - 5*j + 12 = -11*p. Calculate the remainder when 51 is divided by p.
2
Let i = -1999 - -2004. What is the remainder when 8 is divided by i?
3
Let c = -271 - -276. What is the remainder when 13 is divided by c?
3
Let b = -10 - -85. Let j(u) = u - 7. Calculate the remainder when b is divided by j(18).
9
Let x(b) = b**2 + 7*b - 1. Let f be x(-8). Suppose -f*q + q = -414. Calculate the remainder when q is divided by 18.
15
Let b(r) = r**3 + 3*r**2 - 4*r + 4. Let y be b(-4). Suppose -y*c + 29 = a, -7 = 4*c - c - 5*a. Calculate the remainder when (-440)/(-30) + 2/6 is divided by c.
3
Suppose -2*b = 66*b - 5848. Calculate the remainder when b is divided by (-75)/(-7) + (-2)/(-7).
9
Suppose 2*r - 4*c + 170 = 0, -2*r - 373 = 2*r + 3*c. Let v = -55 - r. Calculate the remainder when v is divided by 10.
6
Let h be (-77)/(-11)*12/(-14). Let f = 31 + -149. Calculate the remainder when h + 6 + f/(-2) is divided by 20.
19
Suppose 0 = -6*q + 3*q. Suppose q*a + 3*a = 3. Suppose 3*j - 1 - 2 = 0. Calculate the remainder when a is divided by j.
0
Let c(x) = -36*x + 92. Suppose -7*a + g + 156 = -2*a, 92 = 3*a - g. What is the remainder when c(0) is divided by a?
28
Suppose 4*w - 53 = -3*r, 6*w - 11*w + 70 = 4*r. Calculate the remainder when 108 is divided by -6 + 246/r + (-6)/(-10).
9
Let l(a) be the first derivative of 3*a**2/2 + 11*a + 6. Let k be l(11). Suppose -4*r = -8*r + k. What is the remainder when r is divided by 7?
4
Let j be ((-20)/6)/((-18)/(-27)). What is the remainder when (-251)/(-4) - j/20 is divided by 22?
19
Suppose -16*b + 195 = -3*b. What is the remainder when 158 is divided by b?
8
Let t(l) = l - 16. Let f be t(20). Suppose k = f*r - 86, 0 = 7*r - 2*r + 2*k - 101. Calculate the remainder when 62 is divided by r.
20
Let k = -30 - -41. Suppose u + 5*v = 13, 0 = -u + 4*v + 16 - 3. Let c = u + -7. What is the remainder when k is divided by c?
5
Suppose u - 7 = -t, t + 23 = 5*u + 2*t. Suppose -u*l + 47 = -25. Suppose 0 = 3*d - 3 - 18. Calculate the remainder when l is divided by d.
4
Suppose -t - y + 2 = 0, -3*y + 6*y = 6. Suppose t = 3*k + 2*g - 18, 27 = 4*k - 4*g + 3. What is the remainder when 22 is divided by k?
4
Let g(q) be the first derivative of -q**2/2 + 15*q - 21. Calculate the remainder when (-107)/(-3) - 2/3 is divided by g(-3).
17
Let d be 2*(-6 + 3)/(-3). Suppose -4*i = -4*k - 1 + 9, -4 = d*k. Calculate the remainder when 3 - (i - -2 - 14) is divided by 5.
4
Let r(t) = -t**3 - 3*t**2 - t - 1. Let x be r(-3). Suppose x*b + 3*b - 82 = -4*q, -11 = -b + q. Calculate the remainder when 37 is divided by b.
9
Suppose -26*k + 236 = 28. Calculate the remainder when 84 is divided by k.
4
Let a be -81 - (0 - -5 - 1). Let o = a + 110. Let h(v) = 37*v. Calculate the remainder when h(2) is divided by o.
24
Let u = -463 - -653. What is the remainder when u is divided by 97?
93
Suppose -2*w = -5 + 1. Calculate the remainder when ((-41)/2)/((-1)/w) is divided by 11.
8
Let h = 62 + -61. Let f = -10 + 17. Suppose -4*j - 4*g = -12, -f*j - g = -3*j - 9. What is the remainder when j is divided by h?
0
Suppose 10 = -5*j, -1 - 23 = -2*f - 2*j. Suppose 0*n + 4*q - 30 = -n, -q + 1 = 0. Calculate the remainder when n is divided by f.
12
Let i = -45 - -51. What is the remainder when 125 is divided by i?
5
Let z = 77 - 34. Suppose -y + 14 = -2*n + n, 5*y - n = 58. What is the remainder when z is divided by y?
10
Suppose 0 = -2*x + 23 + 69. What is the remainder when x is divided by 14*6/(-12) - -33?
20
Suppose 9*h = -6*h + 3855. What is the remainder when h is divided by 52?
49
Suppose -5*f = -q - 205, 2*q + 205 = 5*f - 0*q. What is the remainder when 159 is divided by f?
36
Let h = 265 + -123. What is the remainder when h is divided by 34?
6
Let r(z) = -5*z**3 - z**2 + 3*z + 2. Let d be r(-2). Let t = d + 14. Calculate the remainder when t is divided by 12.
10
Suppose 3*q - 15 = 0, -3*q + 31 = 3*s + 2*q. Suppose h - 14 = -s*r, -4*h = h - r - 26. Calculate the remainder when 35 is divided by (8/h)/(1/9).
11
Let b(u) = 10*u + 32. What is the remainder when b(5) is divided by 6?
4
What is the remainder when (0 - -9) + 84 + -11 is divided by 13?
4
Let s(r) = 10*r - 20. Let a be s(6). Suppose -a = -n - 7*n. What is the remainder when 19 is divided by n?
4
Let z(n) = -n - 1. Let b be z(5). Suppose 3*q - 32 = 2*q - 3*k, 5*k = 20. Calculate the remainder when (-4)/b - (-460)/12 is divided by q.
19
Suppose 0 = 3*l - 4*u + 4, 3*l - 4 + 3 = -u. What is the remainder when 164 is divided by 40 + l - (5 + 3)/(-4)?
38
Let r(k) = -9*k - 129. Calculate the remainder when 351 is divided by r(-15).
3
Calculate the remainder when 1239 is divided by (12/5)/(20/2250*5).
51
Suppose 3*v + 2 = -13, -5*q + 2*v - 215 = 0. Calculate the remainder when (-2187)/q - (-2)/10*2 is divided by 13.
10
Suppose -10*z + 34 - 14 = 0. Suppose 4*c = z*i - 14, -4*i + 2*c + 27 + 19 = 0. Calculate the remainder when i is divided by 4.
1
Let f(d) = -296*d - 49. Calculate the remainder when f(-2) is divided by 13.
10
Let g(i) = 8*i + i - 2*i. What is the remainder when 41 is divided by g(3)?
20
Suppose -13 = -4*v + 27. Let c be 0 + (-2 - 0) + v. What is the remainder when 9 is divided by 8/c - 4/(-2)?
0
Suppose -4*r = -5*q - 609, 14*q - 627 = -4*r + 13*q. Calculate the remainder when 1088 is divided by r.
152
Suppose -10*v = -86 - 274. What is the remainder when 359 is divided by v?
35
Suppose -5*t + 21 + 79 = 0. Suppose -6*b - 450 = -12*b. Calculate the remainder when b is divided by t.
15
Let t be (2/4)/(2/16). Suppose 5*z - 2*h - 313 = 2*z, t*z + 5*h = 425. Calculate the remainder when z is divided by 18.
15
What is the remainder when 114 is divided by ((3 - 1) + 0)/(6/39)?
10
Let i be ((-3)/3)/((-1)/3). Let q = i - 5. Calculate the remainder when 46 is divided by 18 + (q - -6)/(-2).
14
Let w = 690 + -554. What is the remainder when 676 is divided by w?
132
Let j(l) = -2*l**2 + l + 55. Suppose -4*u - 36 = -4*h, 7*u - 4*u - 29 = -h. Calculate the remainder when j(0) is divided by h.
13
Let c be 0/((1 - -2) + -1). Suppose -2*v + 9 + 21 = c. What is the remainder when 37 is divided by v?
7
Suppose 0 = 2*r + 5 - 61. Suppose -240*s = -235*s - 400. What is the remainder when s is divided by r?
24
Let k(y) = y**2 + 12*y - 58. What is the remainder when 34 is divided by k(-16)?
4
Let m be -9 - -9 - 38/(-2). Suppose 5*y = 3*l + 13, l + 8*y = 5*y + m. Calculate the remainder when 42 + (l/2 - -1) is divided by 12.
9
What is the remainder when 718 is divided by (-2 + -10 - -1) + 6 + 85?
78
Let g(b) = 5*b - 1. Calculate the remainder when (46/(-4))/((-4)/8) is divided by g(2).
5
Suppose 3*k + 5*f - 63 = 0, 0*k + 54 = 3*k + 2*f. What is the remainder when 19*3/(1 + 2) is divided by k?
3
Let v be (-12)/(-8)*106/3. Let b = v + -34. What is the remainder when 74 is divided by b?
17
Let k(h) = 3*h + 27. Suppose -4*f + 30 = -5*f + 5*n, 2*f + 5*n - 15 = 0. Calculate the remainder when 30 is divided by k(f).
6
Suppose 11 = -2*s - 3*p, -3*s - 4*p - 28 = -7*s. Suppose 116 = -s*q + 4*q. Suppose 0 = -5*x + 17 + q. Calculate the remainder when 43 is divided by x.
13
Suppose 2*m - 2*l = 8, -3*m - m - 2*l + 16 = 0. Suppose -g + 34 = 5*z - m, -4*g + 5*z + 77 = 0. What is the remainder when 65 is divided by g?
19
Let c = -114 + 135. Calcula