 1.
0
Suppose d - 19 = -2*h + 2, d + 4*h - 21 = 0. Let f = -12 + d. Let g(b) = b**2 + 12*b - 29. Calculate the remainder when g(-16) is divided by f.
8
Suppose 4*s + 152 = 4*w, -3*w + 112 = s - 14. Suppose 0 = 80*i + 61*i - 17202. Calculate the remainder when i is divided by w.
40
Let r = -11 - -42. Suppose 59 = 3*h + 4*n, 0 = -0*h + 3*h + n - 53. What is the remainder when r is divided by h?
14
Suppose 5 = 2*z - 61. Suppose -3*a = -54 - z. What is the remainder when a is divided by (-2626)/(-234) + (-4)/18?
7
Let s(i) be the first derivative of i**3/3 + 7*i**2 + 30*i - 14. What is the remainder when s(-16) is divided by 21?
20
Calculate the remainder when 109 is divided by (1/2)/((-13)/(-416)).
13
Let u(z) = -19*z + 41. Let p(q) = -38*q + 81. Let m(j) = 6*p(j) - 11*u(j). What is the remainder when m(-6) is divided by 25?
24
Let r(n) = -2*n**3 - n**2 + 6*n + 8. Let f be r(-2). Let j = 12 + f. What is the remainder when j is divided by 12?
8
Let k = -8 - -5. Let m = 18 + -2. What is the remainder when m is divided by -2 - (-2 - (9 + k))?
4
What is the remainder when (-1)/((-3)/(-5) - (-194)/(-315)) is divided by 33?
30
Calculate the remainder when ((-688)/12)/((-10)/15) is divided by 23.
17
Let d be ((-8)/(-10))/(4/(-40)). Let i = 13 + d. Suppose g - 12 = -i*g. Calculate the remainder when 7 is divided by g.
1
Let c be 66 - (-4)/(-5 - -3). Suppose 5*y + 0*u = -u + c, -44 = -2*y - 5*u. Calculate the remainder when 23 is divided by y.
11
Suppose -15*f - 30 = -17*f. Suppose -66*t + 69*t - f = 0. What is the remainder when 7 is divided by t?
2
Suppose 0 = 25*c + c - 3614. What is the remainder when c is divided by 36?
31
Suppose -5*c + 103 = -3*q, -4*q + 2 = -6*q. Calculate the remainder when 36 is divided by c.
16
Let c = 1990 + -1984. Calculate the remainder when 43 is divided by c.
1
What is the remainder when 451*2 + -8 + 6 + -3 is divided by 90?
87
Let b(m) be the second derivative of 4*m**3/3 - 39*m**2/2 - 2*m. Calculate the remainder when b(13) is divided by 34.
31
Let g = -33 - -53. Let q = -52 - -110. What is the remainder when q is divided by g?
18
Suppose 12 - 4 = -4*v. Calculate the remainder when 5*v/(-30) - (-88)/6 is divided by 5.
0
Let j = -57 - -81. Let t(w) = w - 2. Let f be t(7). Suppose 0 = f*k + 20, h + 4*h + k = 61. What is the remainder when j is divided by h?
11
Let r = 13 + -8. Suppose -471 = -r*z - 2*c, 4*z - c - 3*c = 360. Calculate the remainder when z is divided by 24.
21
Let l = 28 - 20. Calculate the remainder when (l/12)/(1/123) is divided by 21.
19
Suppose 0 = -41*g + 3092 + 3427. What is the remainder when g is divided by 16?
15
Let s be (-14)/(2*3/(-21)). Suppose -q = 3*a - s, q + 2*q - a - 107 = 0. Suppose 1156 = 4*b + 1116. What is the remainder when q is divided by b?
7
Suppose -k + 47 + 60 = 0. What is the remainder when k is divided by 14?
9
Suppose 3*p + 1 = -4*y - 7, 0 = 3*p + 2*y + 16. Calculate the remainder when (3 - 12/3)*1*p is divided by 5.
3
Let q(w) = 3*w**2 - w + 2. Let j be q(-5). Let v = -58 + j. Calculate the remainder when v is divided by 8.
0
Suppose -3*g + 33 = 4*s, 2*g + 0*g + 5*s = 22. Calculate the remainder when (2 - (-122)/3) + g/33 is divided by 11.
10
Let v be (-17)/(-3) - 2/3. Suppose -6 = g + v*w, 4*g - w = w + 20. Suppose -g*n + 23 = -5*c, -c + 0 = n - 17. Calculate the remainder when 33 is divided by n.
9
Let q = 138 - 0. Suppose 5*d + 4*u = 529, -3*d = u - 185 - q. What is the remainder when d is divided by 37?
35
Calculate the remainder when ((-12)/10)/((-5)/1325) is divided by 29.
28
Let m = 7 + 2. Suppose 18*y - 30 = 8*y. Calculate the remainder when m is divided by y.
0
Suppose 2*m - 23 = -3*t, -3*m - m + 4*t = 4. Suppose 2*k - 5*y - 45 = 0, -2*k - m*y + 0*y = 0. Let q = -4 + k. Calculate the remainder when 28 is divided by q.
4
Suppose 0 = -3*t + 12, -t + 112 = 5*g - 47. Suppose -8*n - 240 = -4*n. Calculate the remainder when g is divided by (20 - 0)*(-48)/n.
15
Suppose -3*i + 10*i = 63. What is the remainder when i is divided by 4?
1
Suppose 16*q + 2413 - 7213 = 0. Calculate the remainder when q is divided by 98.
6
Let w(l) = 3*l**2 - 4*l + 14. Let b(k) = 3*k**2 - 3*k + 13. Let v(y) = 7*b(y) - 6*w(y). Let s = 152 + -103. Calculate the remainder when s is divided by v(-3).
24
Let d(g) = -10*g - 31. Calculate the remainder when d(-4) is divided by 3.
0
Let k = -4 + 7. Suppose -4*a = a + 4*m - 44, 0 = 4*a + k*m - 35. Let u = 48 - 20. Calculate the remainder when u is divided by a.
4
Let t = 3 - 3. Suppose 0 = b + 2*a - t*a - 3, -3*a = -4*b + 12. Suppose b*d - 93 = 3*x, 2*d = -0*d - 4*x + 92. What is the remainder when 105 is divided by d?
33
Let h = 57 + 54. What is the remainder when h is divided by 30?
21
Let h(u) = 52*u**2 + 4*u + 3. Calculate the remainder when 140 is divided by h(-1).
38
Suppose 3*c - r - r + 102 = 0, -5*r + 136 = -4*c. Let j = c - -45. Calculate the remainder when 17 is divided by j.
6
Suppose -5*q + 1 = i, 0*i = -3*q + 3*i - 3. Suppose 4*g + 35 = 3*f, 3*f - 2*f = -2*g + 5. Let l = q + f. What is the remainder when l is divided by 6?
3
Suppose 4*m - 18 = 6. Suppose 0*b - b = -4. What is the remainder when m is divided by b?
2
Let w = 131 + -70. Calculate the remainder when 474 is divided by w.
47
Let f(n) = -n**2 + 14*n. Suppose 0 = -4*o + 5 + 7. Suppose t - 13 + o = 0. Calculate the remainder when f(6) is divided by t.
8
Let d(n) = -n - 4. Let o be d(-6). Suppose -o*i + 10 = -0*i. Suppose -i*b + 178 - 23 = 0. What is the remainder when b is divided by 8?
7
Let h = 39 - 40. Let i(j) = -j**3 - 2*j**2 + 4*j - 5. Calculate the remainder when h/(-6)*3*40 is divided by i(-4).
9
Suppose 30*l + 76 = 18*l + 196. What is the remainder when l is divided by (-2)/(-6) + (-51)/(-9)?
4
Suppose -s - 4*z + 81 = 0, 100*z - 102*z = s - 89. Suppose -5*d - p = -165, d = 3*d + 3*p - 66. What is the remainder when s is divided by d?
31
Let c(a) = -32*a - 8. Let l be c(-8). Let o = 385 - l. Suppose -2*y - 44 = -g, -y = -5*g + 38 + o. What is the remainder when 134 is divided by g?
32
Let q(v) = -36*v - 3. Let a(k) = -k**3 - 2*k**2 + 1. Let c be a(1). Let u = 34 + -16. What is the remainder when q(c) is divided by u?
15
Let u = -134 + 521. What is the remainder when u is divided by 65?
62
Let f = 87 + -53. Suppose f - 13 = q. Let y = q + -14. What is the remainder when 12 is divided by y?
5
Let d = 11 + 4. Suppose -d - 24 = -3*w + 3*k, 2*k - 16 = -w. Calculate the remainder when 40 is divided by w.
12
Let o be (10/15)/(2/9). Suppose -3*c + 0*c = 0, 3*x = -o*c + 42. Let j(n) = n**2 + 7*n + 4. Calculate the remainder when x is divided by j(-7).
2
Let i be -3*(-8)/(-204) - 820/(-34). Let a = -5 - -3. Let j = i + a. What is the remainder when 63 is divided by j?
19
Suppose -42 = -2*x + 4*j, 2*j - 119 = -129. Calculate the remainder when 559 is divided by x.
9
Let r(k) = 10*k - 225. Let z(u) = -46*u**2 + 2*u - 1. Let t be z(1). Let s = -26 - t. Calculate the remainder when s is divided by r(23).
4
Suppose 2*k + 114 = 8*g - 4*g, -2*g = -5*k - 37. Let v = g - 23. Calculate the remainder when 30 is divided by v.
6
Suppose v + 4*v = -3*z - 33, 3*v + 3*z = -21. Calculate the remainder when (-12)/(-5)*(-195)/v is divided by 27.
24
Let x = 636 + -563. Calculate the remainder when x is divided by 44.
29
Suppose -12*w - 54 + 558 = 0. Calculate the remainder when 76 is divided by w.
34
Let c be 0 + (0/(-1) - -4). Let r be (c/(-10))/((-14)/(-70)). Calculate the remainder when 19 is divided by r - (2 - 38)/3.
9
Suppose 0 = -3*j + 5*p + 83, -4*j - p = -47 - 33. Suppose 0 = -x + 361 - 70. What is the remainder when x is divided by j?
18
Suppose -4*i + 7*i - m = 86, -2*m - 143 = -5*i. Let b = 35 - i. Let x(r) = -r**3 - 2*r - 2. What is the remainder when x(-2) is divided by b?
4
What is the remainder when 142 is divided by 128/(-6)*15/(-4)?
62
Let a(h) = 23*h + 16. Calculate the remainder when a(1) is divided by 8.
7
Suppose -5*u = 5*m - 605, 5*m - 15*u + 10*u - 595 = 0. What is the remainder when m is divided by 31?
27
Calculate the remainder when 41 is divided by 4 - (7 + -4) - -14.
11
Suppose 2*t = -0*t + 1776. Calculate the remainder when 2/18 + t/27 is divided by 9.
6
Let f = -24 - -27. Let t be 828 - (4 + -3 + f). What is the remainder when (-5)/25 + t/20 is divided by 7?
6
Let i(t) = 24