
1
Suppose -5*k = -3*h - 154, 5*h + 125 = 4*k + 2*h. Suppose 0 = -6*c + k + 1. What is the remainder when 24 is divided by c?
4
Let l(n) be the second derivative of n**3/6 + 8*n**2 - 22*n. Calculate the remainder when 69 is divided by l(-4).
9
Suppose 3*n = 75 + 165. Let o = -53 + n. Calculate the remainder when 134 is divided by o.
26
Let u = 12 - 11. Suppose 2*q = u + 5. Suppose 4*x - q*x - 50 = 0. Calculate the remainder when x is divided by 17.
16
Suppose -52*b + 4*v - 970 = -57*b, 0 = 4*b - v - 755. Calculate the remainder when b is divided by 24.
22
Let f = -23 + 27. Suppose -16 = -o - f. What is the remainder when 39 is divided by o?
3
Suppose 19*a - 3*q = 20*a - 44, 0 = 5*q - 10. Let u(j) = -j**3 + 10*j**2 - 5*j - 1. Calculate the remainder when u(4) is divided by a.
37
Let a(r) = -2*r**2 + 15*r - 1. Suppose -6*d = -5*d - 6. Calculate the remainder when 32 is divided by a(d).
15
Let c = 29 + -27. Let l(v) = 3*v**2 - 2*v**3 + v**3 + 0 + 1 + 2*v. What is the remainder when l(3) is divided by c?
1
Let d be ((-16)/(-24))/((-2)/(-6)). Suppose -4*j - 5*s + 17 = 0, -2*s - 11 = -5*j + d. What is the remainder when 12 is divided by j?
0
Suppose -3*k + 2*a + 1114 = 3*a, -2*k + 4*a + 724 = 0. Suppose 5*x - k = -0*x. Calculate the remainder when x is divided by 15.
14
Let i(k) = 32*k - 58*k - 42*k + 6. Let q(y) = -67*y + 7. Let w(p) = 6*i(p) - 5*q(p). What is the remainder when w(-1) is divided by 25?
24
Let o(g) = -g - 6 + 0*g + 2. Let z(q) = q - 1. Let v(h) = o(h) + 3*z(h). What is the remainder when v(6) is divided by 4?
1
Suppose 8*s - 17 = 3*s + 4*c, -17 = -3*s - c. Suppose 0 = -j + i - 3*i + 13, 25 = s*i. Suppose j*t - 2*t = 26. Calculate the remainder when 75 is divided by t.
23
Suppose p - 5*j = -9 + 89, -89 = -p - 4*j. Let y be 1598/51*3/2. Let w = -18 + y. What is the remainder when p is divided by w?
27
Let g = 1448 + -1281. What is the remainder when g is divided by 87?
80
Let k(o) = -105*o - 241. Calculate the remainder when 151 is divided by k(-3).
3
Let g(y) = y**2 - 54*y - 87. What is the remainder when 1098 is divided by g(56)?
23
Let i(z) = -z**2 - 15*z - 12. Suppose -2*j = -j - 12. Suppose -4*m = 2*x + 44, -2*m + 5*x - j = x. Calculate the remainder when 112 is divided by i(m).
36
Let s = -1906 + 2319. Calculate the remainder when s is divided by 35.
28
Let u be 1 + 0 + (0 - 38). Calculate the remainder when -2 - (u - (0 - 0)) is divided by 19.
16
Suppose -8 = -r - 3*r. Let s be ((-3)/(15/8))/(20/(-50)). Suppose -26 + r = -s*z. Calculate the remainder when 22 is divided by z.
4
Calculate the remainder when 42 is divided by 1890/110 - 6/33.
8
Let j = 1029 - 814. Calculate the remainder when j is divided by 52.
7
Suppose -d - 4*v + 0*v - 24 = 0, 12 = 2*d - 4*v. Let p be (-2)/d*(4 - 14). Calculate the remainder when 86 is divided by (p + 10)*(-22)/(-5).
20
Suppose 0*a = -9*a + 189. Let s(g) = -4*g - g**3 - 4*g**2 + 2*g + 0*g**2 + 4. What is the remainder when a is divided by s(-4)?
9
Let a = 2153 + -2123. Calculate the remainder when 49 is divided by a.
19
Let r = 206 - 189. What is the remainder when 99 is divided by r?
14
Let d(m) = -m**3 - 8*m**2 - 6*m - 82. Calculate the remainder when d(-10) is divided by 66.
46
Suppose 738 - 2829 = -17*l. What is the remainder when l is divided by 37?
12
Suppose -1683 - 1892 = -25*i. What is the remainder when i is divided by 74?
69
Let i(d) = 4*d**2 + 38*d - 21. What is the remainder when i(-15) is divided by 24?
21
Suppose 150 = 3*t - 12. What is the remainder when 151 is divided by t?
43
Let q(v) = -2*v + 24. Let o = -21 + 28. Calculate the remainder when q(0) is divided by o.
3
Suppose 0 = -18*y + 2230 - 2104. What is the remainder when 597 is divided by y?
2
Let z = -15 - -27. Let s be 3 - (-4)/(-2 - 2). Calculate the remainder when (19/s - -1)/(5/10) is divided by z.
9
Let q(x) = x**3 + 17*x**2 + 28*x + 15. What is the remainder when q(-15) is divided by 13?
6
Suppose 0 = t + t - 54. Let x = 673 - 595. Calculate the remainder when x is divided by t.
24
Let b be 20/4*84/10. Let w = b - 25. What is the remainder when 30 is divided by w?
13
Let c be (5 + -2)/(4/100). Suppose 4*m - 5*o = -0*o - c, 5*m + 78 = o. Let u = -10 - m. Calculate the remainder when 19 is divided by u.
4
Let o(g) = 5*g**2 - g + 11. Calculate the remainder when o(-5) is divided by 49.
43
Suppose 0 = 2*a + 3*a - 20. Suppose -r + 0 + a = 0. Calculate the remainder when 9 is divided by r.
1
Let q(h) be the second derivative of 13*h**4/6 - h**3/3 + h**2/2 + h. Suppose -n = -4*n + 3. Calculate the remainder when 98 is divided by q(n).
23
Let g be (-15)/12 + 4*(-21)/112. Let w(r) = -21*r - 1. Let i be w(4). Calculate the remainder when i/(-3) + g/(-3) is divided by 16.
13
Calculate the remainder when (-3610)/(-22) - (-11)/(-8 + -113) is divided by 32.
4
Let o(n) = -5*n**2 - 85*n - 30. What is the remainder when o(-10) is divided by 81?
77
Suppose 3*c - 2*c = 2. Let m(v) = v + 1. What is the remainder when m(c) is divided by ((-6)/3)/(-4)*4?
1
Let g = 43 - 26. Suppose n = 2*m - g, -m + 26 = 2*m - 2*n. What is the remainder when 1 + 0 + 3*7 is divided by m?
6
Suppose 7 = 3*y + 5*u, -y + 17 = 4*y + 3*u. Suppose 5*x - 7*x = -18. What is the remainder when x is divided by y?
1
Calculate the remainder when 152 + -5 + (-1 - -4)*2 is divided by 58.
37
Let p(u) = u**2 - 16. Let m be p(0). Calculate the remainder when 15 is divided by 3/((-12)/m) + 2.
3
Let k(o) = o**2 - o + 43. Suppose 0 = 5*v - 4*a - 91, -3*v + 90 = 5*a + 65. What is the remainder when k(0) is divided by v?
13
Let g be 1/2 + (-7)/14. Suppose g = -4*h - d + 339, 5*h + d - 6*d - 405 = 0. Calculate the remainder when h is divided by 17.
16
Suppose 22*s = 896 - 214. Let d(v) be the third derivative of 13*v**4/24 + 2*v**3/3 + v**2. Calculate the remainder when d(9) is divided by s.
28
Suppose 6*f = 9*f - 372. What is the remainder when f is divided by 63?
61
Let l = -140 + 210. What is the remainder when 2798 is divided by l?
68
Suppose 0 = 3*h - 7*h + 24. Let k = 14 - h. Calculate the remainder when 3 is divided by k/2*21/28.
0
Let s = 153 + -86. Suppose 5 = d - 9. Calculate the remainder when s is divided by d.
11
Let v(q) = 11*q + 184. Calculate the remainder when v(-13) is divided by 35.
6
Let v = -11 + 10. Let u = 56 + v. Calculate the remainder when u is divided by 14.
13
Suppose -2*c + 6*c - 8 = 0. Suppose 3*t + 4*j - 27 = 0, 15 = c*t - 3*j - 3. Calculate the remainder when 26 is divided by t.
8
Let m(b) = 2*b - 5 - 7*b + 0*b. What is the remainder when m(-13) is divided by 16?
12
Let w(u) = 52*u + 103. Calculate the remainder when w(3) is divided by 10.
9
Let p be -10*((-22)/(-77))/((-8)/(-14)). Suppose 2*b = -5*c - 16 - 1, -5*b = 5*c + 80. Let r = p - b. What is the remainder when 46 is divided by r?
14
Suppose 0 = v - 4*j - 1, 4*v - 4*j - 34 = 18. Let k = 181 + -98. Calculate the remainder when k is divided by v.
15
Suppose -2*i - 13 = -5*p, 3*p - 5*i + 3*i = 7. Calculate the remainder when 20 is divided by (9/(-6))/(p/(-14)).
6
Let l(u) = -u**2 + 6*u - 5. Let n be l(4). Suppose -11 = -o + 4*w, 3*o - 43 = n*w - w. Let s(v) = -v + 64. Calculate the remainder when s(20) is divided by o.
14
Let y(h) = 69*h**2 + 8*h - 44. Calculate the remainder when y(3) is divided by 67.
65
Let t = 232 - 191. What is the remainder when t is divided by 3?
2
Suppose -3*z + 48*f = 53*f - 12, 5*z - 20 = -2*f. Calculate the remainder when 33 is divided by z.
1
Calculate the remainder when 123 is divided by (0 - -51) + (-17)/((-102)/(-24)).
29
Let a be (-29)/(-3) - 28/42. Let p = 4 + a. What is the remainder when 25 is divided by p?
12
Let f = -33 - -45. What is the remainder when 57 is divided by f?
9
Suppose -30 - 21 = -l. Let g = l - 9. Suppose -76*u - 1202 = 42*u - 3798. Calculate the remainder when g is divided by u.
20
Suppose -50*n - 9958 = -76*n. Calculate the remainder when n is divided by 7.
5
Let i(f) = -7*f**3 - 2*f**2 + 74*f + 212. Calculate the remainder when i(-3) is divided by 54.
53
Suppose -86*n + 79*n = -623. What is the remainder when n is divided by 7?
5
What is the remainder when -4 - (-4)/3*3252/8 is divided by 36?
34
Let l(z) = 3*z + 8. What is the remainder when l(24) is divided by 1*4 + 2 + 35?
39
Let y(k) = k**2 - 10*k + 15. Let p(o) = -o + 18. Calculat