5
Let q = -23 - -41. Suppose 33*f - 93*f + 2100 = 0. What is the remainder when f is divided by q?
17
Let v(i) = -i**2 - 16*i - 3. Let y(j) = -13*j**3 + j**2 - j + 1. Let q be y(1). What is the remainder when v(q) is divided by 23?
22
Let g = 127 - 96. Calculate the remainder when 61 is divided by g.
30
Let b(n) = n**3 - 5*n + 5. Let x be b(2). Suppose x*i - 4*a - 43 = 0, 4*a = -9 + 29. What is the remainder when i is divided by 8?
5
Let x(m) = -5*m + 9. Let r(p) = 2*p - 3. Let w(h) = 8*r(h) + 3*x(h). What is the remainder when -2*(-3)/(6/13) is divided by w(4)?
6
Let m(b) = -2*b**3 + 23*b**2 - 37*b + 4. What is the remainder when 375 is divided by m(9)?
71
Suppose 33*x + 22 = 34*x. Calculate the remainder when 150 is divided by x.
18
Suppose 3*d = 4*d - 3, -d + 19 = 4*z. Suppose -z*b = 3*r - 5*r + 6, -5 = -r + 4*b. What is the remainder when 3 is divided by r?
0
Let r = 393 - 268. Suppose r = 2*s - 5*z, s - 3*z - 61 = -0*s. Suppose 32 - 122 = -5*g. Calculate the remainder when s is divided by g.
16
What is the remainder when 175 is divided by (-21)/63 + (-122)/(-6)?
15
Let z(a) = -a**2 + 7*a - 3. Let c(y) = -y - 6. Let b = -16 - -4. Let x be c(b). Calculate the remainder when 4 is divided by z(x).
1
Let n be 39/9 - 5/15. Suppose n*i - 32 = 2*i. Calculate the remainder when 45 is divided by i.
13
Suppose 0 = -5*l + 4*r + 145, 137 = 4*l - 2*r + 3*r. Suppose 2*x = o - 0*o + l, -2*o - 83 = -5*x. Calculate the remainder when x is divided by 10.
7
Let u be (0 + -12)*30/(-9). What is the remainder when (-41 + 1)*(-16)/u is divided by 6?
4
Let n(t) = 32*t**2 + 1. Suppose -4*j - 522 = -4*k - 3*j, 528 = 4*k - 4*j. What is the remainder when k is divided by n(1)?
31
Suppose -4165 = 4*d - 21*d. Calculate the remainder when d is divided by 62.
59
Let k(i) = 2*i**2 - 18*i - 63. Calculate the remainder when k(17) is divided by 15.
14
Let u be 14/(-6)*-3 - -2. Let d(c) = -11 + c - c**3 + 10*c**2 - 4*c + 0*c. Calculate the remainder when d(u) is divided by 15.
13
Suppose -k = m + 2*k - 4, -2*m - k + 13 = 0. What is the remainder when 27 is divided by m?
6
Suppose -76 - 25 = -3*p + 5*b, 5*p - 195 = -5*b. Let f(v) = v**2 - 7*v - 3. Let y be f(6). Let x = 10 - y. Calculate the remainder when p is divided by x.
18
Let v(j) = -15*j - 187. Calculate the remainder when v(-15) is divided by 7.
3
Let z(j) = -j + 13. Let k be z(18). Let d(p) = 2*p + 15. Calculate the remainder when 1 - 2*(1 - 7) is divided by d(k).
3
Suppose -4*b + 3*k + 3 = -0*b, -3*k = 2*b - 15. Suppose -328 = b*w - 7*w. Calculate the remainder when w is divided by 21.
19
Suppose -a = 2*a - 24. Let i = 180 + -314. Let g = -130 - i. What is the remainder when a is divided by g?
0
Let n = -17 - -35. Calculate the remainder when 16 is divided by (n/10)/((-30)/(-100)).
4
Suppose 0 = 2*t - 2, 4*h = 3*h - 5*t + 190. What is the remainder when h is divided by 16?
9
Let y(o) = -o**3 + 7*o**2 + 2*o - 9. Let a be y(6). Suppose 2*s + 5*k = 115, 81 = 2*s + 4*k - a. What is the remainder when s is divided by 9?
7
Let t(n) = -1 + 14*n - 6 - 13*n. Let c(o) = 8*o**3 - o + 1. Let z be c(1). Calculate the remainder when 3 is divided by t(z).
0
Let v(m) = 5*m - 65. Let h = -12 + 29. Calculate the remainder when 38 is divided by v(h).
18
Suppose 4*y - 220 - 40 = 0. What is the remainder when 209 is divided by y?
14
What is the remainder when 200 is divided by (14/(-3))/((-42)/9 - -4)?
4
Let f = -20 + 16. Let k(c) = -5*c**2 - c + 6. Let o be k(f). Calculate the remainder when o/(-40)*20/1 is divided by 10.
5
Suppose -46 = 3*b - 58, 4*v - 132 = -2*b. Calculate the remainder when v is divided by 16.
15
Let y(p) = 10*p**2 + 14*p - 14. Calculate the remainder when y(-8) is divided by 14.
10
Let n(y) = 2*y**2. Suppose -3*t + 5*f = -23, -t - 63 = -6*t - 4*f. Calculate the remainder when t is divided by n(2).
3
Let s(p) = -6*p - 15. Let y be s(-7). What is the remainder when y/45 + 6/15 is divided by 1?
0
Let q(v) = -50*v**3 - 11*v**2 - 16*v + 3. What is the remainder when q(-2) is divided by 79?
75
Let p(v) = 2*v**2 + 14*v - 79. What is the remainder when p(-11) is divided by 2?
1
Let h = 3 + 18. Let x = 29 - 27. Suppose -34 = -3*a + x*y, 0 = -a + y + 11 + 2. What is the remainder when h is divided by a?
5
Let z(v) = -v**3 + 22*v**2 + 49*v + 4. Calculate the remainder when 96 is divided by z(24).
12
Let z(c) = -2*c - 20. What is the remainder when 87 is divided by z(-14)?
7
Let m(z) = 8*z - 42. Let k be ((-72)/60)/((-2)/15) - -3. What is the remainder when m(k) is divided by 4?
2
Let v = -30 - -42. Let p = -536 + 543. What is the remainder when v is divided by p?
5
Suppose 2*q + 90 = 4*m, -69 = -2*m - m + q. What is the remainder when m is divided by 10?
4
Let v = 429 - 107. Suppose -64 = 2*q - v. Calculate the remainder when q is divided by 26.
25
Suppose -8*d + 9*d = 5*r - 927, -6 = 3*d. Calculate the remainder when r is divided by 21.
17
Suppose -3*f = h - 484, 22*f + h = 27*f - 796. What is the remainder when f is divided by 88?
72
Let z be 0/(2 + -5 + 6). Suppose z = -2*j + 2*o - 36, -4*j - 114 = 5*o - 6. Let u = j + 36. What is the remainder when 55 is divided by u?
13
Suppose j = 5*v + 36, 2*v - 44 = -4*j - 3*v. Let r(t) = 12*t + 3. Let b be r(4). Suppose -46*m = -b*m + 155. Calculate the remainder when m is divided by j.
15
Let m(u) = 10*u**2 + u - 4. Let s = -15 - -18. Suppose 3*d + d = -s*x + 28, x + 4 = 0. Calculate the remainder when m(2) is divided by d.
8
Suppose 4*o = w + 2*w + 213, 0 = 2*w - 10. Let g = -44 + o. What is the remainder when 61 is divided by g?
9
Let s = -64 - -44. Let z = -16 - s. Calculate the remainder when -73*4/((-16)/z) is divided by 15.
13
Suppose -13*q - 4*q = 0. Let b(y) = -3*y + 47. What is the remainder when b(q) is divided by 18?
11
Let p(x) = -x**3 + 10*x**2 - 20*x - 1. Suppose 0 = 6*m + 3*m - 63. What is the remainder when 26 is divided by p(m)?
2
Let f = -69 - -88. What is the remainder when 265 is divided by f?
18
Suppose 10*o = 7*o + 3. Let d = 48 - o. Calculate the remainder when 186 is divided by d.
45
Let m(f) = -f**2 - 16*f + 6. Let a be m(-6). Suppose -3*r + 129 = -a. Calculate the remainder when r is divided by 33.
32
Let m = 282 - -83. Calculate the remainder when m is divided by 23.
20
Suppose 2*h + 110 = 4*b, -b - 4*h + 110 = 2*b. Let n = -24 - -31. Calculate the remainder when b is divided by n.
2
Let h = 3 + 2. Suppose 5*c - o - 95 = 0, 13*c + 5*o = 8*c + 65. Calculate the remainder when c is divided by h.
3
Calculate the remainder when (4/(-8))/((15/656)/(-15)) is divided by 33.
31
Let u be (-1)/(0 - (-2)/(-6)). Suppose -2*x - 3 + 27 = 3*q, 2*x + 24 = u*q. Calculate the remainder when (23/(-4))/((-2)/8) is divided by q.
7
Let j(z) = z**2 - 8*z - 264. Calculate the remainder when 2429 is divided by j(-15).
80
Let i(t) = 5*t. Let m be i(-11). Suppose -2*c = -3*q + 2*c + 312, 4*q - 416 = 5*c. Let d = m + q. What is the remainder when d is divided by 17?
15
What is the remainder when 12 is divided by (-70)/(-20) + 12/8?
2
Let n(m) = -m**3 + 15*m**2 + m + 11. Suppose 2*d = -2*d + 60. Calculate the remainder when 74 is divided by n(d).
22
Let b = -147 + 217. Calculate the remainder when 217 is divided by b.
7
Let j be (46 - 5)/(2 - 1). Let w = j + -19. Calculate the remainder when 42 is divided by w.
20
Calculate the remainder when ((-4)/3)/((-32)/3264) is divided by 59.
18
Let z = 12 - 10. Suppose 67 = z*m - m. Let k = -48 + m. What is the remainder when 55 is divided by k?
17
Let m(w) be the second derivative of 2*w**3/3 + 7*w**2 + 2*w. Calculate the remainder when 7 is divided by m(-3).
1
Let m(z) = -z + 7. Let f(n) = -n - 6. Let y be f(0). Calculate the remainder when 1*(-21)/42*-46 is divided by m(y).
10
Let s(p) = -20*p - 307. Calculate the remainder when s(-16) is divided by 0/2 + (-6)/(-2).
1
Let z(m) = -4*m**2 + 3*m**3 + 6*m**2 + 10*m**3 - m - 5*m**3. What is the remainder when 31 is divided by z(1)?
4
Suppose 24 = 3*v - v - 2*h, 0 = 3*h + 12. Suppose 2 = -3*b + v. Suppose 0 = 6*k - b*k - 44. Calculate the remainder when k is divided by 6.
5
Suppose -20 = -l - 2*l + 2*p, 2*p = -3*l + 16. Let m(v) = 2*v - 18. What is the remainder when 0/2 - (l - 25) is divided by m(14)?
9
Suppose 3*i + 2*f + 5 = -2*f, 0 = 2*i + 2*f + 4. Let a = 33 + 22. Calculate the remainder 