111 is divided by f.
19
Suppose 77 = -5*p + 6*p. Let q = p - 52. Calculate the remainder when q is divided by 14.
11
Let f = 34 - 33. Let k be 2*f - (16 - 29). Suppose 31 + k = 2*w. What is the remainder when 89 is divided by w?
20
Let c = 37 + 124. What is the remainder when c is divided by 33?
29
Let k = 37 - 103. Let l = k - -102. What is the remainder when 214 is divided by l?
34
Suppose -3*h = 3*t - 636, -28 = 4*t - 40. Let m = -46 + 88. Calculate the remainder when h is divided by m.
41
Let k(w) = -w**3 + 7*w**2 - 5*w + 7. Let i(p) = -2*p**3 + 3*p + 5. Let g be (-54)/15 + 12/20. Calculate the remainder when i(g) is divided by k(6).
11
Suppose 0 = -2*f + 8, 302 = w - 11*f + 12*f. Calculate the remainder when w is divided by 22.
12
Suppose -5 = 3*q - 4*q. Suppose 0 = -3*s + 9, 3*s - 72 = -q*d + 4*d. Calculate the remainder when d is divided by 32.
31
Let c = 350 + -333. Calculate the remainder when 592 is divided by c.
14
Suppose -2*p = h + 1, h + 4*p = -3*h - 12. Let a = h + 39. Calculate the remainder when a is divided by 5.
4
Let s(f) = 0 + 8 - f**2 + 3 - 4*f - 4. Let x = 7 - 2. Calculate the remainder when x is divided by s(-5).
1
Let l(d) be the second derivative of -1/12*d**4 - 5/3*d**3 - 3*d + d**2 + 0. What is the remainder when 52 is divided by l(-9)?
8
Suppose -975 = -5*c - 10*c. Calculate the remainder when 139 is divided by c.
9
Let p(o) = o + o - 3*o + 3*o**2 + 3*o. Calculate the remainder when 16 is divided by p(1).
1
Let x(m) = -29*m - 63. What is the remainder when x(-3) is divided by 17?
7
Let p(n) = -40*n + 733. What is the remainder when 1 + 0 + 22 + -1 is divided by p(18)?
9
Let i(y) = -3*y**3 - y**2 + y - 1. Suppose -3*q = -9*s + 8*s - 199, 2*q - 3*s - 128 = 0. Calculate the remainder when q is divided by i(-2).
16
Calculate the remainder when -1*(4 + 4 + -89) is divided by 21.
18
Let q(x) = x**3 + 7*x**2 + 3*x - 4. Let o = 8 + 0. Let s be o/12 - (-34)/(-6). Calculate the remainder when 60 is divided by q(s).
29
Let r(k) = k**3 - k**2 - k + 21. Suppose 0 = 2*v + 35 - 159. Calculate the remainder when v is divided by r(0).
20
Suppose 81*z + 1067 - 4667 = 65*z. Suppose 0*j + 4*j = 76. What is the remainder when z is divided by j?
16
Suppose 72*h = 70*h + 10. Suppose 2*p + 4 = -0*p, 330 = h*a + 5*p. What is the remainder when a is divided by 14?
12
Suppose 4*x - 28 = 4*p, -2*x - 26 = -7*x + 2*p. Calculate the remainder when 37 is divided by x.
1
Let t(j) = j**2 + 9*j + 14. Let x be t(-9). Suppose 5*r = -p - 10, 4*p - 3*r - x = -5*r. Calculate the remainder when p is divided by 2.
1
Let l = 204 + -197. Suppose 5 = 2*n - n, -3*n = 3*h - 66. What is the remainder when h is divided by l?
3
Let b = 8 - 6. Suppose b = -14*j + 15*j. What is the remainder when 9 is divided by j?
1
Suppose 9 + 3 = 4*k. Suppose -3*h + 72 = k*h. What is the remainder when 32 is divided by h?
8
Suppose 2*p = -3*p + 5*j + 155, -2*j + 2 = 0. Let y = -37 + 132. What is the remainder when y is divided by p?
31
Let r = 307 + -288. Calculate the remainder when 34 is divided by r.
15
Let a be 87/15 + (-2)/(-10). Let i = a + -3. Calculate the remainder when 6 + 12/9*3 is divided by i.
1
Let i(u) = -12. Let k(b) = b + 13. Let q(d) = -4*i(d) - 3*k(d). Calculate the remainder when q(-6) is divided by 5.
2
Let t = 24 + -27. What is the remainder when 159 is divided by (1 + -2)*(-96)/(-9)*t?
31
Let y(t) = -2*t**2 - 27*t + 1. What is the remainder when 709 is divided by y(-8)?
86
Calculate the remainder when 199 is divided by ((-4)/1 + -1)/((-16)/80).
24
Suppose -3*q - 7 = f - 5, 0 = 4*f + 4*q - 32. Calculate the remainder when 194 is divided by f.
12
Suppose -21*n + 23 = -20*n. Calculate the remainder when 12/8 - (-158)/4 is divided by n.
18
Let b(m) = -2*m. Let n be b(7). Calculate the remainder when 26 is divided by (-200)/n + 2/(-7).
12
Suppose 4*w + 4*t = 91 + 69, 0 = -2*w + 5*t + 66. Calculate the remainder when 111 is divided by w.
35
Suppose 5*t + 6*b - 282 = 5*b, -172 = -3*t - 2*b. Calculate the remainder when 176 is divided by t.
8
Let f(r) = 2*r + 4. Let k be f(-8). What is the remainder when (-456)/k + (-2)/2 is divided by 10?
7
Let x(j) = -25*j - 14. Calculate the remainder when 393 is divided by x(-2).
33
Let z = 361 - 236. Suppose 0 = -0*b - 5*b + z. Calculate the remainder when b is divided by (-6 - -5)/(2*(-4)/72).
7
Let c(h) = h**2 + 2*h - 7. Let k be c(-5). Suppose -2*n = -2*p + k, -p - 2*n + 7*n + 8 = 0. What is the remainder when 16 is divided by p?
1
Let q(w) = w**2 + 12*w - 29. Let p(n) = -n**3 - 23*n**2 - n - 4. What is the remainder when q(-17) is divided by p(-23)?
18
Suppose 2*h - 5*b = 51, 3*h - 112 = 4*b - 39. What is the remainder when 89 is divided by h?
20
Suppose 2 = 4*o - 6. Suppose 15 = o*l - 37. What is the remainder when 101 is divided by l?
23
Let p(m) = 73*m - 30. Let r be p(-8). Calculate the remainder when 0 + r/(-10) + 6/10 is divided by 16.
14
Suppose -4*q = 5*u - 43, -u + 5 = -43*q + 42*q. Suppose 4*b - 3 = f + 1, 0 = 2*b + 4*f - 20. Calculate the remainder when u is divided by b.
1
Suppose 4*q - 124 = -36. Calculate the remainder when 236 is divided by q.
16
Calculate the remainder when 492 is divided by 76/190 - (-2 - 213/5).
42
Let v = -43 + 45. Suppose v*r = -5*u + 160 + 50, -u = -4*r - 42. What is the remainder when 251 is divided by u?
41
Suppose 0*v + 7 = -g - 4*v, 0 = -4*v. Let s = g - -23. What is the remainder when 46 is divided by s?
14
Let d = 113 + -88. Suppose -31*w + 162 = -d*w. What is the remainder when 134 is divided by w?
26
Let w(i) = i**3 - 6*i**2 + 2*i + 3. Let j be w(5). Let u = -12 - j. Suppose u = a + 5, -c + a = -a - 64. What is the remainder when c is divided by 14?
12
Let l(x) = x**3 + 11*x**2 + 14*x + 46. Suppose 0 = j - 4*i - 5, 0*j - 3*i - 42 = -3*j. What is the remainder when j is divided by l(-10)?
5
Suppose -2*a + 638 = -4*m, -118 = -2*a - m + 495. What is the remainder when a is divided by 24?
21
Suppose -27 = 4*w + 1. Let b = w + 15. What is the remainder when (-2 + (-61)/1)/(-3) is divided by b?
5
Suppose -212 = -3*s - d + 77, -5*d + 20 = 0. Suppose 4*z - 52 = 2*h + 70, 0 = 3*z - 5*h - s. Calculate the remainder when 117 is divided by z.
27
Let p be 26 - ((-35)/(-5) - 5). Suppose 0 = 2*d + 2*d - p. Calculate the remainder when d is divided by 2.
0
Let q = 740 + -704. What is the remainder when 177 is divided by q?
33
Let o(z) = z**3 - 5*z**2 + 4*z - 7. Let f = -224 - -233. What is the remainder when o(6) is divided by f?
8
Suppose -3*p + 10 + 14 = 0. Suppose -7*w + p*w = -21. What is the remainder when 100 is divided by (-553)/w + 2/(-6)?
22
Let b = 49 + -46. What is the remainder when 68 + (-2 - 0)*-1 is divided by -54*-3*b/27?
16
Suppose 4*w - 362 = -w + m, -4*w + 286 = -2*m. Suppose 717*h - 65 = 712*h. What is the remainder when w is divided by h?
8
Let v(h) = 84*h + 1. Let g = -1 - -6. Suppose -2*y - 4*s = -36, -y - 4*s + g + 9 = 0. Calculate the remainder when v(1) is divided by y.
19
Let f(p) = p**3 + p**2 - 3*p - 2. Let s be f(-2). Let w = s + 4. Calculate the remainder when (8/(-18))/2 - (-747)/81 is divided by w.
1
Suppose -8*p = -7*p + b - 72, 4*b = 0. Suppose -20*s = -16*s - p. Calculate the remainder when s is divided by 7.
4
Let y(h) = -h**2 - 10*h - 25. Let i be y(-5). Suppose -x = -5*d, 0 = -3*x - i*d - 3*d + 36. Calculate the remainder when x is divided by (1/2)/(2/16).
2
Suppose 0 = -4*t - 5*f + 18, f + 12 = 4*t + 3*f. Suppose 2*u - 4 = a, -3*u + t*a + 8 = a. Let n = -3 + u. Calculate the remainder when n is divided by 1.
0
Let u = 105 + -87. Calculate the remainder when 197 is divided by u.
17
Suppose 0 = 2*j - 0*j - 124. Let x = -225 - -241. What is the remainder when j is divided by x?
14
Let l(w) = -16*w - 29. Let s be l(-7). Let j = 149 - s. What is the remainder when j is divided by 17?
15
Let a = -352 - -417. Calculate the remainder when 255 is divided by a.
60
Let b(x) = -12*x**2 - 4*x - 10. Let l be b(6). Let o = 323 + l. What is the remainder when (-4)/22 - 6604/o is divided by 24?
22
Suppose 19*j - 34*j + 45 = 0. Let l(m) = -m**2 - 2*m + 2. Let g be l(5). Calculate the remainder when 52 is divided by -2*(g/2 + j).
25
Let d(x) = 8*x - 13. What is the remainder when 116 is divided by d(4)?
2
Let j be (-230)/(-2 + 8/2). Let b = -76 - j. Calculate the rema