by 41.
38
Let n(q) = q**3 + 7*q**2 + 2*q - 16. Let l be n(-6). Suppose l*z + 120 = 13*z. What is the remainder when 167 is divided by z?
23
Let s(v) = -7*v - 39. Let w be s(8). Let h = w + 145. Calculate the remainder when 99 is divided by h.
49
Let o(q) = 8*q**2 - 5*q + 2. Let x be o(3). Suppose 3*n - x = 19. Calculate the remainder when 206 is divided by n.
24
Let d(m) = -23*m + 878. What is the remainder when d(31) is divided by 86?
79
Let z = 22029 + -22022. Let r(i) = 14*i**3 - 3*i**2 + i + 1. Calculate the remainder when r(2) is divided by z.
5
Let u(w) = -6*w - 38. Let j(q) = -q**3 - 5*q**2 - q + 5. Let o be j(-4). Let a(x) = x**3 + 7*x**2 + 10. What is the remainder when u(-11) is divided by a(o)?
8
Let h = 209 - 130. Suppose 0 = -9*c + 11 + h. Calculate the remainder when 118 is divided by c.
8
Let n = 2 + -8. Let j(p) = p**3 + 8*p**2 - 12*p - 14. What is the remainder when j(-9) is divided by (n/(-9))/(2/21)?
6
Suppose -3*u + u = 0. Suppose u*o = o + 40. Let a = o + 77. What is the remainder when a is divided by 10?
7
Let p = -1 + 106. Calculate the remainder when p is divided by 53.
52
Let x be 17*2 - (2 - -1). Suppose x = o - 4*a, -5*a + 124 = 4*o - a. What is the remainder when o is divided by 11?
9
Let h(c) = 26*c**2 - 3*c**3 - c**3 + 0*c**3 - 7 - 6*c. What is the remainder when h(6) is divided by 15?
14
Suppose -3 = -x - 2*i, -5*x + 3*x - 2*i + 8 = 0. Suppose x*g = -5*n + 75, 2*g + 6 = 2*n - 2*g. Calculate the remainder when 64 is divided by n.
9
Suppose 2 = 2*q - 16. Let f(v) = 2*v**2 + 6*v + 5. Calculate the remainder when q*-3*12/(-9) is divided by f(-4).
10
Let w = 80 - 52. Let r = -1541 - -1734. What is the remainder when r is divided by w?
25
Let z be 15 + -2 - (-3)/3. Suppose -d + 23 = 3*f, 0 = 2*f - 3*f + 4*d - z. What is the remainder when 22 is divided by f?
4
Let f be ((-2)/(-6))/(1/3). Suppose -9 + f = -h. Let s(n) = -n**2 - 19*n - 18. What is the remainder when s(-16) is divided by h?
6
Suppose -8*j - 172 = -4*j. Let s = j + 101. Suppose 4*n - s = 2. Calculate the remainder when 55 is divided by n.
10
Let z = 10 + 19. Suppose -w = j - 4, -4*j - 5 = j. Suppose 0 = w*i - 30 - 20. Calculate the remainder when z is divided by i.
9
Let i(z) = 2*z**2 + 8*z. Let c = -25 - -20. What is the remainder when i(c) is divided by 3?
1
Let u(p) be the first derivative of -13*p**2/2 + p + 3. Calculate the remainder when u(-3) is divided by (-88)/(-6) + 20/(-30).
12
Let d(m) = -m**3 - 6*m**2 + 5*m - 9. Let n be d(-7). Let r(v) = -v**3 + 7*v**2 - 8*v + 11. Calculate the remainder when 56 is divided by r(n).
14
Let v(z) = -2*z - 14. Let y be v(-8). Suppose 4*d - y*d = 4*o - 8, -3*o - 12 = 0. Let x = d - -24. Calculate the remainder when x is divided by 7.
5
Suppose -2*o + 143 = 3*m, 0 = m + 4*o - 6*o - 37. Suppose 2*l + 3*l - m = 0. Let z(c) = c**2 - 6*c - 10. Calculate the remainder when z(9) is divided by l.
8
Let u(p) = p**2 - 5. Let a(n) = -n**2 - n - 1. Let i(z) = -a(z) + u(z). Let o(h) = 2*h**2 - 10*h + 5. Calculate the remainder when o(7) is divided by i(3).
16
What is the remainder when 16 is divided by 12*6/(-54)*-9?
4
Let r = -11 + 16. Suppose -79 - 149 = -2*p - v, -r*p + 3*v + 548 = 0. What is the remainder when p is divided by 38?
36
Suppose 13*u - 12*u - 139 = 0. Calculate the remainder when u is divided by 20.
19
Let v(f) = -4*f**2 + 8*f + 15. Let p(m) = m**2 - 3*m - 5. Let g(b) = -7*p(b) - 2*v(b). Calculate the remainder when g(-7) is divided by 16.
3
Let v(j) = j**2 - j. Let k(s) = s**3 - 6*s**2 + 2*s + 9. Let f = -1 + 7. What is the remainder when k(f) is divided by v(-3)?
9
Let c(u) be the third derivative of -2*u**2 + 1/2*u**4 + 0 + 1/30*u**5 + 0*u + 2/3*u**3. What is the remainder when c(-7) is divided by 5?
3
Let y(w) = 25 - 2*w + 12*w**2 - 5*w**2 - 14 + w**3. What is the remainder when y(-7) is divided by 8?
1
Suppose 5*u = -411 - 109. Let j = -72 - u. What is the remainder when j is divided by 5?
2
Let a(y) = -5*y**2 + 23*y - 26. Let c(b) = 2*b**2 - 11*b + 13. Let p(x) = 3*a(x) + 7*c(x). What is the remainder when 31 is divided by p(-7)?
11
Let i = 2 - -24. Let c = i - 9. Let x(u) = u**2 - 3*u + 10. Calculate the remainder when x(-5) is divided by c.
16
Suppose -91 = -2*u - 5*n, -4*u + 8*n = 6*n - 122. What is the remainder when 228 is divided by u?
30
Let t(i) = i**3 + 57*i**2 - 117*i + 102. What is the remainder when 54 is divided by t(-59)?
11
Suppose 2*y + 0 + 10 = i, 4 = -2*y. Let f(g) = -g**2 + 7*g - 4. Let h(b) = b**2 + 9*b + 6. What is the remainder when h(-9) is divided by f(i)?
0
Suppose 16896 = 91*y - 32881. Calculate the remainder when y is divided by 140.
127
Suppose -4*f = -72 - 1356. Let a(t) = 135*t**2 + 6*t + 3. Let k be a(-1). Suppose -3*x = -f + k. What is the remainder when x is divided by 26?
23
Suppose 0 = 2*r - 348 + 84. Suppose 2*n - 3*n = -2*u + 66, -4*u + 4*n + r = 0. Let m = u - -5. Calculate the remainder when m is divided by 20.
18
Let j = 2377 - 2373. Let s(l) = -l + 10. What is the remainder when j is divided by s(6)?
0
Suppose 3*r + 4*v + 13 = 3*v, -16 = 3*r + 4*v. Let f = r - -7. Suppose 0*l + l + 2 = -3*u, -5*l = 2*u - 29. What is the remainder when l is divided by f?
1
Suppose -10*r - 7 = -7. Suppose r = -5*f - 2 - 8, -f + 88 = 3*i. Calculate the remainder when 177 is divided by i.
27
Suppose -3*j - 5*w = -0*j - 285, 4*w = 3*j - 285. Let p be 1972/12 + 1/(-3). Let r = p - j. Calculate the remainder when r is divided by 18.
15
Let y(c) = c**3 + 9*c**2 + 2*c + 29. What is the remainder when y(-9) is divided by 6?
5
Suppose -9*m - 151 = 155. Let g = -29 - m. What is the remainder when 7 is divided by g?
2
Let z(f) = 5*f - 35. Let u(i) = i + 1. Let d(l) = 4*u(l) - z(l). What is the remainder when d(13) is divided by 4?
2
Let k = -17 - -44. Suppose 5*g - 92 = -t, 0 = -2*t + 3*g - 5*g + 192. Calculate the remainder when t is divided by k.
16
Let d be (0/(-2))/(-2 - -1). Suppose -2*k = -d*k - 36. Suppose 5*z - 6 - k = -u, 4*u = 2*z + 8. Calculate the remainder when 7 is divided by u.
3
Let t(y) = -62*y - 2. Let a be t(-1). Suppose -8*k = -5*c - 3*k + a, 0 = -4*c - 4*k + 32. What is the remainder when 38 is divided by c?
8
What is the remainder when (-2)/((-22)/77 - 184/(-742)) is divided by 27?
26
Suppose 0 = -3*z + z + 124. Suppose 3*d - 313 = z. Suppose 3*x - 4*u = -2*u + 106, -3*x - 4*u + 76 = 0. Calculate the remainder when d is divided by x.
29
Suppose c + 3*l - 191 = 0, 2*l = -3*c + 490 + 104. What is the remainder when c is divided by 67?
66
Let c(l) = 6*l**2 - 11*l + 20. Let h be c(6). Suppose -5*u + h = 50. Calculate the remainder when 68 is divided by u.
20
Let k = 79 - -10. Calculate the remainder when k is divided by 10.
9
Let o(x) = 113*x**3 - x**2 + 21*x - 20. What is the remainder when o(1) is divided by 6?
5
Let i = 748 - 715. Calculate the remainder when 558 is divided by i.
30
Suppose 0 = 4*g + k - 248 + 34, -5*k + 260 = 5*g. What is the remainder when g is divided by 12?
6
Let f(s) = 18*s - 77. What is the remainder when 112 is divided by f(5)?
8
Let n(u) = -u**3 - 12*u**2 - 11*u + 12. What is the remainder when 2*118/(-4)*-1 is divided by n(-11)?
11
Let x(i) = i**3 + 27*i**2 + 112*i + 13. Calculate the remainder when x(-20) is divided by 146.
135
Let a(q) = q**3 + 8*q**2 - 6*q + 10. Let s = 97 + -65. Let l = s - 12. What is the remainder when a(-8) is divided by l?
18
Let f(b) = -b. Let m be f(1). Let z = 5 + m. Suppose -z*r + 105 + 31 = 0. What is the remainder when 99 is divided by r?
31
Calculate the remainder when 82 is divided by (134 - 132)*(7/2 + -1).
2
Let q = -656 - -693. What is the remainder when 71 is divided by q?
34
Suppose -15*z + 44*z = 638. Calculate the remainder when 632 is divided by z.
16
Let l be ((-27)/2 - 1)*-32. Suppose z = 3*z + u - 235, -4*u = 4*z - l. Calculate the remainder when z is divided by 15.
14
Let v = 25 - 12. Let u = -62 + 66. Calculate the remainder when 0 + (-1235)/(-25) + u/(-10) is divided by v.
10
Let v(u) = -u**3 + 4*u**2 + 8*u. Suppose -7*b = -0 - 42. What is the remainder when v(5) is divided by b?
3
Let h(f) = 2*f**2 + 8*f + 1. Let m be (-184)/28 - 3/7. Calculate the remainder when h(m) is divided by 15.
13
Suppose -4*q + 22 = -t, -4*t = -7*t + 6. Let o(w) = -3*w + 5. Let z be o(4). Let b = z - -12. Calculate the r