
18
Suppose 482*n = 488*n - 78. What is the remainder when n is divided by 6?
1
Suppose -34*u - 2 = -35*u. Suppose 6 = 4*z + 4*d - 42, u*d = 4*z - 66. Calculate the remainder when 71 is divided by z.
11
Let p(q) = -q**3 - 9*q**2 + 8*q + 6. Let z be p(-10). Suppose -3*i + i + z = 0. What is the remainder when i is divided by 5?
3
Suppose -3*l + 4*l = -3*k + 8, 8 = 4*k + 2*l. Suppose 185 = k*t + 3*j, 3*j - 79 - 150 = -5*t. Let s = -20 + t. What is the remainder when s is divided by 15?
9
Let w = 36 + -34. Suppose -3*t = -5*f - 41, w*t = -6*f + f + 69. Calculate the remainder when t is divided by (-4)/(-14) + (-108)/(-14).
6
Let o = 64 - 63. What is the remainder when 43 is divided by 11/3*o*3?
10
Suppose 0*z = z + 5*c - 193, 4*c = z - 166. What is the remainder when z is divided by 18?
16
Suppose 4*o = -4*q + 40, o + 3*q - 3 = 5. Suppose -o - 79 = -15*d. Calculate the remainder when 34 is divided by d.
4
Suppose 5*r = 2*a + 275, -5*r + 0 = -3*a - 270. Let s(m) = m + 7. What is the remainder when r is divided by s(8)?
12
Suppose -5*p = 0, 5*o - 3*p - 30 + 10 = 0. Suppose -10*c = -o*c - 318. What is the remainder when c is divided by 28?
25
Suppose 3*j - 92 = -j. Let h = 29 - j. Calculate the remainder when 9 is divided by h.
3
Let v(y) = y**3 - 7*y**2 - 7*y + 12. Calculate the remainder when v(9) is divided by (-4 - -3) + -5 + 34.
27
Suppose -2*h + 0*j = 5*j - 140, -h - 5*j + 70 = 0. Calculate the remainder when 217 is divided by h.
7
Let l = -133 + 198. Calculate the remainder when 191 is divided by l.
61
Suppose 12*a - 379 = -55. Calculate the remainder when 782 is divided by a.
26
Suppose 4*b = -3*f + 13 - 55, 4*b + 44 = -4*f. Let j(n) = -9*n - 6. What is the remainder when j(b) is divided by 19?
18
Suppose 0 = 4*n + 6*n - 660. Suppose 4*k = -0*k. Calculate the remainder when n is divided by 3 - (0 + -31) - k.
32
Suppose -i + 85 = 2*o - 0*o, i - o = 97. Let p be (24/(-15))/(3/(-120)). Suppose 0*s - p = -4*s. What is the remainder when i is divided by s?
13
Let c = 331 - 227. Calculate the remainder when 25 is divided by (c/(-20))/(12/(-30)).
12
Suppose 0 = 3*r - 2*v - 1016, 8*r = 4*r + 4*v + 1348. What is the remainder when r is divided by 35?
27
Let x(l) = l**3 - 8*l**2 + 6*l + 2. Suppose 3*m - 3 = 18. Let n be x(m). Let c = 22 + n. What is the remainder when 83 is divided by c?
15
Let z(y) = -y**3 - 2*y**2 - 3*y - 4. Let u = -4 - -12. What is the remainder when u is divided by z(-2)?
0
Let t(s) = -4*s + 5. Suppose 0 = -m - 5*l + 19, -2*l = 2*m - 0*m - 6. Calculate the remainder when t(-5) is divided by 8 + (m - 4/(-2)).
7
Suppose 4*i = 3*o + 37, -o + 2*i = 7*i + 6. Let n(r) = -3*r - 12. Calculate the remainder when 37 is divided by n(o).
16
Let v(w) = -w**2 - 3*w + 7. Let t be v(-6). Let h(k) = -k**3 - 12*k**2 - 13*k - 13. What is the remainder when 26 is divided by h(t)?
8
Let k = -7 - -12. Suppose 7*j - 4*j - 27 = 0. Calculate the remainder when j is divided by k.
4
What is the remainder when 735/4 - 87/(-348) is divided by 17?
14
Suppose -2*r = 2*r - 28. What is the remainder when r is divided by (-5)/(((-630)/28)/9)?
1
Let r = 1428 + -1304. What is the remainder when r is divided by 65?
59
Let s(l) = 30*l + 1842. Suppose b + 0*b + 4 = 0. Let u = b + 36. Calculate the remainder when u is divided by s(-61).
8
Let v = 212 + -184. Let q(p) = -5*p**2 + 1. Let m be q(1). Let b(l) = -3*l + 3. What is the remainder when v is divided by b(m)?
13
What is the remainder when 143 is divided by 86/10 + 72/(-120)?
7
Let h(y) = -3*y - 16. Let q(f) = f - 17. Let o be q(7). Suppose 2*i - 3*i = 4*u + 15, 0 = 3*u + 15. Calculate the remainder when h(o) is divided by i.
4
Let j(z) = -15*z - 39. Calculate the remainder when 46 is divided by j(-5).
10
Let t = 49 + -45. Let z(r) = -r**2 + 12*r + 3. Calculate the remainder when z(11) is divided by t.
2
Suppose 4*i = -2*z + 874, 4*i = 3*i + 4*z + 196. What is the remainder when i is divided by 55?
51
Let h(m) = 5*m - 3. Suppose -2*l + l - 2*s - 3 = 0, -l + s + 12 = 0. What is the remainder when h(4) is divided by l?
3
Suppose -8 = -5*w + 3*w. Let v = 26 - -59. Calculate the remainder when v/4 + 3/(-12) is divided by w.
1
Suppose -5*y + 6*y + 3 = -s, 5*y + 4*s + 10 = 0. Suppose -4*g - y*k = -7*k - 4, 4 = k. What is the remainder when 17 is divided by g?
5
Let l = 25 - 14. Let a(y) = -y**3 - y**2 + 16. Let h be a(0). Suppose 0 = -8*n + 12*n - h. What is the remainder when l is divided by n?
3
Let h = -1204 + 1215. What is the remainder when 127 is divided by h?
6
Let y(w) = -209*w + 1. Let f be y(-1). Suppose -215 = -5*h + f. Suppose 74*l + 88 = 78*l. What is the remainder when h is divided by l?
19
Suppose 0 = -2*u + 19 - 7. Suppose -2*r = 3*r + 5, 3*j + 3*r - u = 0. Suppose j*h = 2*h + 15. Calculate the remainder when h is divided by 9.
6
Suppose -915 = -6*k + 1131. What is the remainder when k is divided by 87?
80
Let m(z) = 0 + 3 - 29*z**2 + 57*z**2 - 26*z**2. What is the remainder when m(-5) is divided by 6/(4/(-6) + 1)?
17
Let a(m) = -10*m - 18. Let v be a(-4). Let y = 41 - v. Suppose 5*l + 4*r - 284 = 0, 225 = 4*l + r - 0*r. Calculate the remainder when l is divided by y.
18
Suppose -3*n = -2*y + 68, 0 = -14*y + 16*y - 5*n - 64. Calculate the remainder when y is divided by 22.
15
Let f = -205 - -1060. Calculate the remainder when f is divided by 13.
10
Let c = 36 + 31. Let o = -15 - -5. Let l(z) = -3*z - 13. What is the remainder when c is divided by l(o)?
16
Let v = 41 + -17. Suppose -x - 2*x = -v. What is the remainder when x is divided by 6?
2
Let d(k) = -k**3 + 7*k**2 + 14*k - 27. What is the remainder when d(8) is divided by 20?
1
Let g be (0/(-10))/(-1 + 0). Let r be g/2 - -24 - -4. Calculate the remainder when 22 is divided by 56/6 + r/(-21).
6
Let i be 8/(-10)*(-10)/4. Suppose 0 = i*n - 11*n + 81. Suppose -6 = -2*y - 0*y. What is the remainder when n is divided by y?
0
Let m = -13 - -88. What is the remainder when m is divided by (15/(-20))/(3/(-156))?
36
Let t(r) = -5*r - 22. What is the remainder when t(-8) is divided by 5?
3
Let x = -478 + 554. Calculate the remainder when x is divided by 25.
1
Let s = -76 + 299. Calculate the remainder when s is divided by 73.
4
Suppose p = -3*z + 139, -p - 3*p = z - 545. Let w = p + -80. Suppose f - 2*q - 25 - 4 = 0, -5*f + 3*q + 110 = 0. What is the remainder when w is divided by f?
18
Let o be (-8)/28 + (-116)/(-14). Let c = -5 + o. Calculate the remainder when c/(-4)*(5 - 41) is divided by 10.
7
Suppose 4*c - y - 121 = -0*c, -4*c + 5*y = -125. Suppose 0*k - c = -2*k. What is the remainder when 27 - (1 - 0)*-1 is divided by k?
13
Let m be -3 + 2 + 2 + 1. Suppose -h - 4*w + 32 = 1, -m*w + 50 = 2*h. Calculate the remainder when 45 is divided by h.
22
Let c = -13 - -7. Let r = -1 - c. Suppose -5*b + b + 8 = -4*o, b - r*o + 10 = 0. Calculate the remainder when 17 is divided by b.
2
Let a(i) = -4*i**2 + i + 21*i**2 + 7*i**2. Suppose 71*g - 104 = 58*g. What is the remainder when a(-1) is divided by g?
7
Let q = 81 + -26. Let k = q + 4. What is the remainder when k is divided by 31?
28
Let t = 10 + -7. Suppose -222 = -t*n - 12. Suppose 3*z + w + 48 = 5*z, 3*z - n = 2*w. What is the remainder when 76 is divided by z?
24
Let q = 193 - 138. Suppose -4*l - 190 = l. Let x = l - -53. Calculate the remainder when q is divided by x.
10
Suppose -13*v + 51*v = 30818. What is the remainder when v is divided by 14?
13
What is the remainder when 13/(13/729) + (3 - 8) is divided by 11?
9
Let y = 295 - 282. Let x(p) = 2*p - 7. Let d be x(6). Suppose -d = -4*q + 11. What is the remainder when y is divided by q?
1
Let f(y) be the first derivative of -y**4/4 - y**3 - y**2 - y - 1. Suppose 11*u = 4*u - 21. Calculate the remainder when 14 is divided by f(u).
4
Suppose 5*w - 380 = -5*a + 115, 0 = -4*w - 3*a + 397. Calculate the remainder when w is divided by 9.
1
Let n = -442 - -470. What is the remainder when n is divided by 16?
12
Let i(j) = -2*j**2 - 30*j - 101. What is the remainder when 69 is divided by i(-6)?
6
Suppose 2*p - 7*p = o + 19, o - 31 = 5*p. What is the remainder when (117/5 - 3) + o/(-15) is divided by 7?
6
Suppose 3*q + 4*v - 164 = 0, 5*q = -2*v - 3*v + 275. Calculate the remainder when q is divided by 6.
2
Suppose -b + 61 = 4*g, 0*b + 2*g = -b + 69. Suppose -b - 