10.
7
Suppose -12 = -y + 49. What is the remainder when y is divided by 21?
19
Suppose i - 112 = -4*p, 0*i - 4*i = p - 43. What is the remainder when p is divided by 8?
3
Suppose -3*h + 218 = 5*t, -3*h + 299 - 90 = -4*t. What is the remainder when h is divided by 18?
17
Let w(h) = h**2 + h - 1. Let b = 1 - 0. Let v(c) = 7*c**2 + 8*c - 12. Let l(t) = b*v(t) - 6*w(t). What is the remainder when l(-5) is divided by 5?
4
Let i(r) be the third derivative of -r**4/8 - 5*r**3/6 - 5*r**2. What is the remainder when 29 is divided by i(-7)?
13
Let c(q) = q**3 + q + 3. Let m be c(0). Suppose 8 + 229 = m*f. What is the remainder when f is divided by 27?
25
Suppose 15 = -2*s + 5*y, 3*s - 2*s - 30 = -5*y. Calculate the remainder when 36 is divided by s.
1
Suppose -3*k + 32 - 2 = 2*f, 4*k = 2*f + 26. Let d = 49 - 26. Calculate the remainder when d is divided by k.
7
Suppose -2*p - 4*d = -24, -4*p + 36 = d + 2. Suppose p = 3*m - 28. Calculate the remainder when m is divided by 7.
5
Suppose -2*n + 14 + 6 = 0. Suppose d - 20 - n = 0. What is the remainder when d is divided by 8?
6
Let f = -12 + 16. Suppose 3*a = f*p + 73, p = a + 2*a - 70. What is the remainder when a is divided by 6?
5
Let h(t) = t + 3*t + 82 - 3*t. What is the remainder when h(0) is divided by 21?
19
Let m(k) = 2*k**2 + 6*k + 1. What is the remainder when 38 is divided by m(-5)?
17
Let h = 1 + -1. Suppose -4*w + w + 24 = h. Suppose -5*t + 105 = 2*t. Calculate the remainder when t is divided by w.
7
Suppose j = o + 31, 0*o = j - 2*o - 34. What is the remainder when 81 is divided by j?
25
Let o = 45 - -19. What is the remainder when o is divided by 11?
9
Let d(p) = -p + 28. Let r be (-8)/(-4)*13/2. Calculate the remainder when d(r) is divided by 8.
7
Suppose 0 = 5*h - 0*h - 40. Calculate the remainder when h is divided by (-90)/(-25) + (-6)/10.
2
Let u = 27 - -5. What is the remainder when u is divided by 17?
15
Let r = 3 + 2. Suppose -60 = 2*j - r*j. Calculate the remainder when 58 is divided by j.
18
Suppose -27*q - 52 = -31*q. Calculate the remainder when q is divided by 5.
3
Suppose 0*y + 5*r + 88 = 3*y, 62 = 2*y - 4*r. What is the remainder when (-12)/10*520/(-16) is divided by y?
18
Suppose 2*j = -0*j + 8. Suppose 12 = p + j. Suppose 5*v + 0*y + 3*y - 18 = 0, -4 = -2*v + 2*y. Calculate the remainder when p is divided by v.
2
Suppose 5*b + 22 - 147 = 0. Suppose -3*u - 2*u = -b. What is the remainder when 17 is divided by u?
2
What is the remainder when (-4964)/(-51) - 1/3 is divided by 20?
17
Suppose -3*q = 22 - 91. Suppose 3*p - 132 = 4*h + 155, 3*h = -15. Calculate the remainder when p is divided by q.
20
Let l(m) = -m**2 - 12. Let w be l(0). What is the remainder when 15/(-3 - 40/w) is divided by 23?
22
Let v(u) = -2*u - 7. Let j be v(-13). Suppose -3*i - 39 = -3*h, -5*h - 2*i + 53 = -j. What is the remainder when 53 is divided by h?
11
Suppose -4*x + 160 = x. Let z(r) = -2*r + 10*r**2 + 2*r + r**2. What is the remainder when x is divided by z(1)?
10
Suppose 2*o - 20 = o + 4*z, 0 = 4*o - 4*z - 68. What is the remainder when o is divided by 6?
4
Let h(w) = -w + 3. What is the remainder when h(-4) is divided by 5?
2
Let i(z) = -z**2 + 10*z - 7. Let s be i(9). Let j(y) = s + 0*y + 0*y - 5*y + 0*y. Calculate the remainder when j(-2) is divided by 7.
5
Let k(s) = 3*s**2 + 11*s. What is the remainder when k(-6) is divided by (5 - 9) + (-38)/(-2)?
12
Let w = 13 - 23. Let h = 19 - 12. What is the remainder when (-116)/w + 6/15 is divided by h?
5
Calculate the remainder when (-4 + 2)*63/(-2) is divided by 22.
19
Suppose 0 = 6*v - 2*v - 2*y - 42, -5*v + 3*y + 51 = 0. What is the remainder when v is divided by 8?
4
Suppose 0 = -6*p + 4*p + 14. What is the remainder when 119/7 - -2*1 is divided by p?
5
Let v(w) = w**2 - w + 2. Suppose 2 = 5*r - 8. Let h be v(r). Let x(g) = g**3 - 4*g**2 + 2*g - 1. What is the remainder when 12 is divided by x(h)?
5
Let p be 73/3 + 10/15. Suppose 0 = 2*f + 3*f - p. Suppose 4*c = -2*w + 80, c + w - 23 = -f. Calculate the remainder when c is divided by 8.
6
Suppose -4*d = 2*j + 5 + 13, -28 = -3*j + 5*d. What is the remainder when 3 is divided by j?
0
Suppose -k + 1 + 20 = 0. What is the remainder when k is divided by 14?
7
Let h(l) = -5*l - 13. Let t = 1 - 10. Let s be h(t). Suppose 3*y = -3*f + 120, s + 33 = 2*y + 5*f. What is the remainder when y is divided by 12?
9
Suppose 0 = 7*k - 5*k - 124. Calculate the remainder when k is divided by 16.
14
Let d(q) = 3*q**3 + q. Calculate the remainder when d(1) is divided by 1*6/(1 - -1).
1
Let q(a) = 2*a**2 - 4*a - 9. What is the remainder when q(6) is divided by 14?
11
Suppose -3*l = -5*b - 33, -5*l + 0*l + b = -77. Suppose 5 + l = q. Calculate the remainder when 61 is divided by q.
19
Suppose -2*i = -0*i - 186. Suppose 2*r + i = 5*r. Calculate the remainder when r is divided by 11.
9
Let f(b) = 51*b**2. What is the remainder when f(1) is divided by 39/2*6/9?
12
Let u(f) = -f**3 + 7*f**2 + 8*f + 9. Suppose -56 = -2*w - 4. Calculate the remainder when w is divided by u(8).
8
Let d(z) = -6*z - 26. What is the remainder when 89 is divided by d(-12)?
43
Suppose -4*p + 2*n + 134 = 0, -5*p - 5*n + 31 + 99 = 0. Let s = p + -17. What is the remainder when s is divided by 8?
6
Let m = -19 + 48. Let o(t) = t**2 - 6*t - 6. Calculate the remainder when m is divided by o(8).
9
Suppose 2*h = 5*v - 258, 3*h = v - 2*v + 55. Calculate the remainder when v is divided by 9.
7
Suppose -3*s - 2*s + 45 = 0. Let o(t) = t + 8. Let g be o(0). Suppose g*f = 6*f + 50. Calculate the remainder when f is divided by s.
7
Suppose -2*f + 4*u = -0*f + 10, -u = -2*f + 5. Suppose -5*v = b - 39 + 4, 0 = 2*b - f*v - 10. Let x = 15 + -7. Calculate the remainder when b is divided by x.
7
Suppose 8 = 2*h - 6. Let x be -3 - 4/(12/(-237)). Suppose -4*c + x = -4. What is the remainder when c is divided by h?
6
Let w(a) = 5*a**2 + 1. Suppose -3 + 1 = 2*j. Calculate the remainder when 21 is divided by w(j).
3
Suppose x = 3 + 9. Suppose 2*t - 4 = x. Calculate the remainder when 13 is divided by t.
5
Let k(i) = -i**3 - i**2 + i. Let d be k(-2). Suppose -a = -2*a + 4*q + 11, -43 = -3*a + d*q. Calculate the remainder when a is divided by 9.
6
Let q = 0 - -5. Calculate the remainder when 13 is divided by q.
3
Let t be (-15)/12*4*-1. Suppose -t*w + 49 = 5*p - 21, w - 3*p - 10 = 0. What is the remainder when 25 is divided by w?
12
Let p(v) = -1 + 0 - 3 + 3*v. Suppose -6*t = -3*t - 18. Calculate the remainder when p(t) is divided by 8.
6
Let w(p) = -3*p - 21. Calculate the remainder when w(-11) is divided by 7.
5
Let d = 54 + -35. Let m(l) = -37*l. Suppose 3*s + 14 = f, -2*s - 9 = -f - 0*s. Calculate the remainder when m(f) is divided by d.
18
Let w = -61 - -98. What is the remainder when w is divided by 8?
5
Let z(f) = -11 + 22 + f**2 + 16. Let x be 0/((-2)/6*-3). What is the remainder when z(x) is divided by 14?
13
Suppose 3*z = 2*z + 4. Suppose -z*j + 36 = -j. Let c = j + 2. What is the remainder when 26 is divided by c?
12
Let l = 66 + -43. Suppose 3 + 5 = b. What is the remainder when l is divided by b?
7
Suppose -274 + 459 = 5*u. Let s be 2/5 - 66/(-10). Let k = 26 - s. What is the remainder when u is divided by k?
18
Suppose 3*f + 2*q - 18 = 34, -2*f - 3*q + 38 = 0. Suppose -4*k + 0*k - 12 = 0. What is the remainder when (-137)/(-3) + (-1)/k is divided by f?
14
Let d(v) = v**2 + 13*v + 14. Let o be d(-13). Let x = -2 + o. Suppose -3*c - 42 = -5*c. What is the remainder when c is divided by x?
9
Let c = 54 - 5. What is the remainder when c is divided by 26?
23
Suppose -b = 4*c + c + 13, 0 = 2*b + 3*c + 5. Let h = 9 + -5. Suppose 3*k + 2*p - 4 = 0, -h*p + 6 = 4*k + 2. Calculate the remainder when b is divided by k.
0
Suppose 2*g + 148 = 6*g. Let p(q) = -4*q + 0 + 7*q - 5. Calculate the remainder when g is divided by p(6).
11
Let r(i) = -3*i - 2. Let z = -7 + 9. Let u be r(z). Calculate the remainder when 4 is divided by (9 + -2)*u/(-28).
0
Let h(x) = 7*x**2 - x + 2. Let c be h(1). Let j(z) = -z**2 + 8*z + 18. Calculate the remainder when 69 is divided by j(c).
15
Suppose -4*z + 18 = 2*w, 4*w + 0*w = z + 9. Let t be 17 + w/(2 - -1). Suppose -5*x + t = -17. What is the remainder when x is divided by 4?
3
Let c = 21 - 5. Suppose -5*x + g - 20 = -62, 5*g = -x + 24. Calcu