ed by 10.
8
Suppose 0 = -y + 5*s + 577, -2*y + 5*s = s - 1124. What is the remainder when y is divided by 15?
12
Let a(q) be the second derivative of q**4/4 - q**3/2 - q**2 + 2*q. Let x be 4 - 6/3 - -1. What is the remainder when 30 is divided by a(x)?
14
Suppose 6*y - 250 - 1340 = 0. What is the remainder when y is divided by 19?
18
Suppose 0 = -2*m + 3*m. Suppose -x + m*x = -4. Suppose 0 = o + x - 8. Calculate the remainder when 6 is divided by o.
2
Let y = -367 - -419. Calculate the remainder when 1662 is divided by y.
50
Suppose -5*q + 18 = -4*i - 9, i = -5*q + 12. Let x = -176 - -177. What is the remainder when q is divided by x?
0
Suppose 0 = -2*k + 2, -8*k + 13*k - 62 = -3*r. Calculate the remainder when 138 is divided by r.
5
Suppose -8*v + 70 = -98. Calculate the remainder when 59 is divided by v.
17
Suppose -5*h - 2*f + 48 = 0, 2*h + 2*f + 42 = 6*h. What is the remainder when 69 is divided by h?
9
Suppose u - 135 = 16*u. Let k(o) = -o**3 - 10*o**2 - 11*o - 3. Calculate the remainder when 74 is divided by k(u).
14
Let z(m) = 26*m - 1. Let t(x) = -x**2 + 26*x + 100. Calculate the remainder when z(1) is divided by t(29).
12
What is the remainder when (-16)/(-56) - 1*(-4887)/21 is divided by 39?
38
Suppose -8*f + 3513 - 3097 = 0. Calculate the remainder when f is divided by 23.
6
Let z be 0/1 - 3 - 45/(-3). What is the remainder when (56 - z/4) + (-4)/(-2) is divided by 19?
17
Let q = 39 - 7. Suppose 95 = -9*o + 158. Calculate the remainder when q is divided by o.
4
Suppose -86 = 8*d - 9*d. Let b = -65 + d. Calculate the remainder when 146 is divided by b.
20
Let q(r) = -r**3 - 2*r**2 + 6*r + 13. What is the remainder when 49 is divided by q(0)?
10
Let g(j) = -j**2 - 4*j + 3. Let r = -11 + 7. Let w be g(r). Suppose 5*q = -v + w, -33 = -4*v - q + 2*q. What is the remainder when 31 is divided by v?
7
Let g = 172 - 114. What is the remainder when g is divided by 7?
2
Let b = 2187 + -2100. Suppose 4*c + 2*y = 74 - 8, 0 = -3*y - 9. What is the remainder when b is divided by c?
15
Suppose -69 = -6*l - 33. Calculate the remainder when 29 is divided by l.
5
Suppose -7*w = -3*w + 20, j + 2*w = 115. Suppose -t = -6*t + j. What is the remainder when 8/(-96)*-6 - 194/(-4) is divided by t?
24
Let j = -31 + 34. Suppose j*p + 5*b + 14 = 4, b + 2 = 2*p. Suppose -5*a - 4 - 1 = p, 3*a = 5*w - 28. Calculate the remainder when 14 is divided by w.
4
Suppose 21*p - 272 = 17*p. What is the remainder when p is divided by 42?
26
Suppose -24*p + 6*p + 191 - 11 = 0. Let m be (-1 - -3) + (-2 - -1). What is the remainder when 34 - (2/(-2))/m is divided by p?
5
Let d = -153 - -182. Suppose d = 3*g - 103. What is the remainder when 129 is divided by g?
41
Suppose 5*j = -3*c + 246, -2*j = 2*j + c - 194. Let a be (5/((-10)/(-8)) - 0)*1. Let p(d) = d**2 - 6*d + 33. What is the remainder when j is divided by p(a)?
23
Suppose 0 = -4*n - 2*m + 50, 9*n = 5*n - m + 55. What is the remainder when 41 is divided by n?
11
Let l = -33 + 48. Calculate the remainder when ((-64)/(-16))/((-14)/l - -1) is divided by 16.
12
Suppose -7*o - 492 = -19*o. Calculate the remainder when o is divided by 7.
6
Suppose -c + u + 4 = 0, 0 = 6*c - 4*c - u - 10. Let v = 4362 + -4360. What is the remainder when c is divided by v?
0
What is the remainder when 75 is divided by 542/8 + (-7 - 58/(-8))?
7
Let z(y) = 4*y**2 - 12*y - 1. Let i(o) = -11*o**2 + 35*o + 3. Let w(x) = -3*i(x) - 8*z(x). Calculate the remainder when w(10) is divided by 5.
4
Suppose -6*c - 20*c = -520. What is the remainder when 64 is divided by c?
4
Suppose 0*l = 5*l - 10. Suppose 5*s = l*s. Suppose 5*k = 5*x - 79 - 1, 4*k - 4 = s. Calculate the remainder when 50 is divided by x.
16
Let j(r) = r**2 - 8*r - 13. Calculate the remainder when j(13) is divided by 28.
24
Let z(u) = -4*u + 11. Calculate the remainder when z(-10) is divided by 8.
3
Suppose -5*v = -2*p - 11, -42*p - 34 = -44*p - 4*v. Calculate the remainder when 313 is divided by p.
5
Suppose -y - 52 = -58. Suppose 3*g + 3*b = 36, y = g - 15*b + 13*b. Calculate the remainder when 49 is divided by g.
9
Let z(g) = -g**2 + 22*g - 14. Calculate the remainder when z(13) is divided by 56.
47
Suppose -25*s + 84 = -21*s. Calculate the remainder when 49 is divided by s.
7
Suppose 5*x = 15, -5*s - 3 = -3*x - 149. What is the remainder when s is divided by 8?
7
Let v(t) = -173*t**3 - 3*t**2 + t + 1. Let q be v(2). Let n = q + 688. What is the remainder when 23 is divided by 2/11 - n/55?
10
Suppose -2*s - 3*z = -9, 4*z + 58 - 64 = -2*s. Calculate the remainder when ((-42)/4 - 1)*-2 is divided by s.
5
Suppose 0 = -2*z - 5*z + 42. Suppose -z*r + 64 + 98 = 0. What is the remainder when 105 is divided by r?
24
Let y = 357 + -330. What is the remainder when 69 is divided by y?
15
Let a = 724 + -445. What is the remainder when a is divided by 88?
15
Suppose 2*c - 109 = -2*v + 79, -287 = -3*v + 2*c. Suppose -45 = 5*t - v. What is the remainder when t is divided by 3?
1
Let s(z) = 11*z**2 - 16*z + 51. Calculate the remainder when s(4) is divided by 59.
45
Let q(l) = -l**2 - 26*l + 46. Let t be q(-20). Let x = -140 + t. Calculate the remainder when 82 is divided by x.
4
Let i = -388 - -571. Calculate the remainder when i is divided by 37.
35
Let t = 198 - 86. Let p = 157 - t. Suppose -3*f + 2*n = -p, n = f - 2*n - 22. Calculate the remainder when 23 is divided by f.
10
Suppose -7*x = 2*p - 8*x - 24, p + 2*x = 17. Calculate the remainder when 48 is divided by p.
9
Let v(r) = -7*r + 1. Let s be v(1). Let h(i) = i**2 - 5*i - 7. Let m be h(s). Let t = -35 + m. Calculate the remainder when t is divided by 9.
6
Suppose -2*m = 4, 2*k - m = 5*k - 127. What is the remainder when 299 is divided by k?
41
Let d(a) = -a**3 + 6*a**2 + 5*a - 33. Let z = -44 - -73. Calculate the remainder when z is divided by d(4).
10
Let z = -3 + 4. Suppose k + z = 3. What is the remainder when 7 is divided by k?
1
Let q = 44 + 26. Suppose -37*r = -36*r - 18. Calculate the remainder when q is divided by r.
16
Let v(w) = w**3 + 8*w**2 + w + 1. Let r be v(-8). Let b(c) be the first derivative of -c**2 - 7*c - 1. What is the remainder when 12 is divided by b(r)?
5
Let u be 10*(147/(-5))/(-7) - -4. Let g = 29 + -57. Let j = g + u. What is the remainder when j is divided by 7?
4
Let j(c) = c + 22. Let d be j(0). Let k = -7 + d. Calculate the remainder when 17 is divided by (2 - 6) + k/1.
6
Suppose 20*v - 3*v - 5593 = 0. What is the remainder when v is divided by 55?
54
Let n(w) = -52*w - 90. Let r(a) = 0 - 8 + 2*a + 1. What is the remainder when n(-2) is divided by r(6)?
4
Let h = -10 - -25. Let f = 346 + -221. Suppose 5*a + 3*n - f = 0, -5*n - 91 = -a - 38. Calculate the remainder when a is divided by h.
13
Suppose -5*k + 205 = 4*x, -14*x + 11*x + 126 = 3*k. What is the remainder when 109 is divided by k?
35
Let n be (-235)/7 + (-6)/14. What is the remainder when 10 - 12 - (1 + n) is divided by -4*(2 + 0)*-1?
7
Let s(i) = -12*i + 34*i - 5*i + 1 + 2. Let k be s(-3). Calculate the remainder when k/(-36) + (-256)/(-6) is divided by 12.
8
Let c be (-8)/4*1/1. What is the remainder when 91 is divided by ((-18)/36)/(c/92)?
22
Suppose -5*i = 4*r - 464, 12 + 0 = -3*r. Calculate the remainder when i is divided by 50.
46
Suppose 5*o + 3*v - 11 = 0, -v - 3*v = 12. Let g = 18 - o. Calculate the remainder when g is divided by ((-4)/4)/(3 - 13/4).
2
Suppose 4*p = -130*z + 128*z + 42, -z = 4*p - 41. Calculate the remainder when 1049 is divided by p.
9
Suppose -3*j = -3*k + 99, -63 = -2*k + 13*j - 10*j. Calculate the remainder when 105 is divided by k.
33
Suppose -1 = 10*x - 21. Suppose -165 = -x*m - 9*m. Calculate the remainder when 57 is divided by m.
12
Suppose -i - 4*s = -29 - 45, 0 = 4*i + 2*s - 240. What is the remainder when i is divided by 35?
23
Suppose -4*k + 2*x + 51 = -3*x, 2*k = -3*x + 9. Let b = -3 + -13. Let c(m) = m**2 + 15*m + 7. Calculate the remainder when c(b) is divided by k.
5
Suppose -4*a - 18 = 14. Let x be (3 + 46/a)*28. Let r = 136 + x. What is the remainder when r is divided by 15?
14
Let m be -2 - ((2 - 2) + -25). Let b = m + -15. Suppose -52 = 4*p - b*p. Calculate the remainder when 38 is divided by p.
12
Suppose -12*i + 2265 = -5727. Calculate the remainder when i is divided by 84.
78
What is the remainder when 7