3*i + p = 9*i. What is the remainder when i is divided by 7?
4
Let c(r) = 121*r**2 + r - 1. Let m = -193 + 352. Suppose -3*l = -3*b + 66 - m, 31 = l + b. What is the remainder when c(1) is divided by l?
28
Let h = -37 - -39. Suppose -76 + 32 = -h*y. Calculate the remainder when 109 is divided by y.
21
Suppose 279 = 18*s - 45. Let h be 0 + 2/((-2)/(-5)). Suppose h*b - 3*b - 138 = 0. Calculate the remainder when b is divided by s.
15
Let u be 1 - 0 - (0/(-1) - -2). Let m = 16 + u. Calculate the remainder when 28 is divided by m.
13
Let s(w) = w**3 - 8*w**2 - 15*w - 14. Let d be s(10). Let t = -16 + d. Calculate the remainder when 37 is divided by t.
17
Suppose -q - 17 = -5*w, -5*q - 78 = 4*w + 94. Let t = q + 94. What is the remainder when t is divided by 16?
14
Let q(s) = 2*s + 9. Let u be q(-6). Let y be 2/u + 1/(-3). Let h = 8 + y. Calculate the remainder when 12 is divided by h.
5
Let d be 5/(-4)*(-8 + 0). Let m be ((-22)/66)/((15/18)/(-5)). Suppose -5*f + d = m*s, -s = -2*f + 3*s + 4. What is the remainder when 3 is divided by f?
1
Suppose -34 = -4*g - 10. Suppose 923 - 311 = g*l. Calculate the remainder when l is divided by 15.
12
Let k = -1210 - -1422. What is the remainder when k is divided by 12?
8
Suppose -16 = -8*z + 168. What is the remainder when 619 is divided by z?
21
Suppose -b = 2 + 2, 37 = s - 2*b. Suppose m - 373 = 47. Suppose -3*c - 359 = -4*i, -5*i = c + c - m. Calculate the remainder when i is divided by s.
28
Let b(u) = -u**3 + 24*u**2 + 29*u + 2. Let o be (105/14)/(6/20). Calculate the remainder when b(o) is divided by 52.
50
Suppose 8*x - 17 = 15. Let i = x + 17. What is the remainder when 40 is divided by i?
19
What is the remainder when 264 is divided by 13/((-117)/(-198)) + 8?
24
Let o(r) = -r**3 + 6*r**2 - 7*r. Let a be o(5). Let s = -8 + 26. What is the remainder when 2/(-5) - 354/a is divided by s?
17
Let n = -1603 - -1864. Calculate the remainder when n is divided by 76.
33
Let l = -479 - -496. Calculate the remainder when 59 is divided by l.
8
Suppose -32170 = -11*m - 11952. What is the remainder when m is divided by 92?
90
Let b(r) = r**2 + 5*r + 10. Suppose 0 + 10 = -2*z. Suppose w + g = -0*g + 8, -4*w + 5*g + 14 = 0. Calculate the remainder when b(z) is divided by w.
4
Let v = -37 - -70. Let r(t) = 20*t - 7. Let h be r(4). Suppose -2 = s - 5*c + 1, 5*s - 3*c - h = 0. What is the remainder when v is divided by s?
16
Let q be 532/21*6/(-4). Let u = 56 + q. Calculate the remainder when u is divided by 8.
2
Let j be (-14)/((-5 + 7)*-1). Calculate the remainder when 35 is divided by 110/(-28)*-4 + 2/j.
3
Let r = 2 - -2. Suppose -r = -z + 11. Let g = -44 - -50. Calculate the remainder when z is divided by g.
3
What is the remainder when -1 - -5 - (-3 + -406) is divided by 23?
22
Let n be 6/(-4)*154/(-21). Let x(z) = z + 12. Let o(i) = -2*i - 2. Calculate the remainder when x(n) is divided by o(-5).
7
Let d(b) = b**2 + 3*b + 3. Let i be d(-4). Suppose -25*f + 96 = -17*f. Calculate the remainder when 301/i - (-2 + 0) is divided by f.
9
Let o = -30 + 111. Let z = o - 43. Suppose z = 4*y - 90. Calculate the remainder when y is divided by 17.
15
Let j(c) = -c**2 + 4*c + 5. Let g = 104 + -99. What is the remainder when j(4) is divided by g?
0
Let i = -213 - -537. Suppose b = 4*q + 81, 3*b + b + 5*q - i = 0. Calculate the remainder when b is divided by 21.
18
Let s = 670 - -649. What is the remainder when s is divided by 22?
21
Let o = 105 + 81. What is the remainder when o is divided by 19?
15
Let m = -7 - -15. Let t(c) = -c**3 - 5*c**2 - 4*c + 1. Calculate the remainder when t(-5) is divided by m.
5
Let b(c) = -c**3 + 9*c**2 - 4*c - 4. Calculate the remainder when (-22)/(-11)*(109/2 + 1) is divided by b(8).
27
Suppose 0*g = -7*g - 5*g + 624. What is the remainder when g is divided by (-90)/(-8) - (-1)/(-4)?
8
Suppose -i - 120 = -5*i. Suppose -4*z = -4*h - 464, -15*z + 11*z = h - 479. Calculate the remainder when z is divided by i.
29
Let x(i) = 6*i**2 + 6*i + 6. Let f(a) = 8*a**2 - 88*a + 17. What is the remainder when x(-4) is divided by f(11)?
10
Let w = -73 - -125. Suppose 0 = -5*d - 4*d + 162. Calculate the remainder when w is divided by d.
16
Let f(x) = 2*x**2 + 4*x + 4. Let i be f(-3). Let b be (-10)/4*(-36)/i. What is the remainder when 15 is divided by 24/b*3/2?
3
Suppose -4*b - 4 = -2*b. Let r(d) = -8*d + 2. What is the remainder when -7*(-14275)/1400 + (-3)/8 is divided by r(b)?
17
Calculate the remainder when 51 is divided by 9/1*(27 - 25).
15
Suppose 0 = 4*w - 4*r + 31 - 99, 5*w - 58 = -4*r. Let y = 324 - 89. Calculate the remainder when y is divided by w.
11
Let f be 4 + (-3 - -1) - -3. Suppose -15 = -f*p - 0*p. Suppose p*x + 2*t - 130 = 7*t, -5*t + 150 = 5*x. Calculate the remainder when x is divided by 9.
8
Suppose -41*p + 30*p = -132. Calculate the remainder when 18 is divided by p.
6
Let o(t) = -t**3 + 6*t**2 + t + 2. Let f be -14*(-2)/4 + -1. What is the remainder when 37 is divided by o(f)?
5
Let a be -41 + (-2)/(-2*1). Let b = a - -130. What is the remainder when b is divided by (-30 + -1)*12*7/(-84)?
28
Let u(a) = -a**3 - 7*a**2 - 6*a + 2. Let h be u(-6). Suppose h = 4*l + 38. Let f(q) = q**3 + 9*q**2 - 3*q - 7. What is the remainder when 77 is divided by f(l)?
17
Let b be ((-8)/16)/((-1)/(-54)). Suppose 0 = -0*k - 2*k + 44. What is the remainder when (-360)/b*48/10 is divided by k?
20
Calculate the remainder when 194 is divided by 96/2 + -7 + 18 + -7.
38
Let m(d) = -d**2 - 24*d + 42. What is the remainder when m(-20) is divided by 42?
38
Suppose -4*d - 4*p + 488 = 0, 5*d - 2*p - 607 = -4*p. What is the remainder when d is divided by 25?
21
Suppose 45 = -5*j - 4*g + 9*g, -5*j - 45 = -g. Let d(u) = u**2 + 3*u + 1. What is the remainder when (-2)/j + 968/18 is divided by d(3)?
16
Let f(r) = 12*r + 45. Calculate the remainder when 258 is divided by f(7).
0
Let y(t) = t**2 - 6*t + 5. Let j be y(0). Suppose 62 = 3*f - j*s, 0*f - 5*f = -5*s - 100. What is the remainder when f is divided by 6?
1
Let n(j) = -10*j**3 - j**2. Let s be ((-14)/21)/(2/3). Let a(b) = b**3 - 1. Calculate the remainder when a(3) is divided by n(s).
8
Suppose -2*t = t - 51. Let y = t - 9. Suppose 0 = -3*p - p + 84. Calculate the remainder when p is divided by y.
5
Suppose 70 - 302 = -4*g. What is the remainder when g is divided by 20?
18
Let h(l) = l**2 - 26*l - 12. Let f(t) = -2*t - t**3 + 5*t**2 - 4*t**2 + 7 - 5*t**2. Calculate the remainder when f(-5) is divided by h(27).
12
Let y = 29 - 29. Suppose y = 2*i - 6*i + 36. What is the remainder when 26 is divided by i?
8
Let h(g) = -g**3 - 29*g**2 + 27*g - 23. Calculate the remainder when h(-30) is divided by 14.
11
Suppose 976 = 5*u - n, -2*u - 5*n + 357 + 55 = 0. Calculate the remainder when u is divided by 75.
46
Let g = 4 - -3. Suppose -108 = -2*n - 44. What is the remainder when n is divided by g?
4
What is the remainder when 2158/9 - (-110)/495 is divided by 25?
15
Let j = 1 + 5. Suppose -2*q = -5*x + 19, 2*q + 2*q = -3*x + 27. Suppose 2*s - 3*r - 19 = 0, s + 2*r + q*r = 3. What is the remainder when s is divided by j?
2
Suppose 0 = 3*m + m - 28. Suppose 9*t - m*t = 6. Suppose 5*v - 23 = t*f, 5*v + 3*f = 3 + 14. Calculate the remainder when 15 is divided by v.
3
Let t(n) = n**3 - 20*n**2 - 17*n - 28. Calculate the remainder when 111 is divided by t(21).
55
Let l = -823 + 924. What is the remainder when l is divided by 6?
5
Suppose -i = -7 + 2. Let u = 22 - i. Suppose -h - 3*h = -24. What is the remainder when u is divided by h?
5
Suppose 0 = -4*p - 3*j + 455, 6*p - 342 = 3*p - 3*j. Let b = -88 + p. What is the remainder when b is divided by 13?
12
What is the remainder when 1*2*(78 - -54) is divided by 36?
12
Suppose -4*q + 346 = -2*g, -2*q = 3*q + 5*g - 395. Suppose y = -0*y + 17. What is the remainder when q is divided by y?
16
Suppose 0 = 5*h - x - 114, 7*h - 4*x = 8*h - 27. Calculate the remainder when 154 is divided by h.
16
Let l = 1189 + -1152. What is the remainder when 1405 is divided by l?
36
Let b(k) = 8*k**2 - 9*k - 8. What is the remainder when 356 is divided by b(-3)?
83
Let w be 20/6*144/(-40). Let a = w + 30. Calculate the remainder when 52 is divided by a.
16
Let c(t) = -t**2 + 6*t - 4. Let r be c(3). Suppose -r*d + d - 61 = 5*k, -5*d - k - 50 = 0. Calculat