22 is divided by z.
9
Let f be 2/((-18)/99 + (-70)/(-264)). Suppose 5*w = 3*x + 4*w - 34, 0 = -3*x + 3*w + f. Calculate the remainder when 63 is divided by x.
11
Let w(s) = -s**2 + 6*s - 2*s**2 - 8 - 9 - s**3 + 10. Calculate the remainder when 35 is divided by w(-5).
9
Let d be 30/(-4)*(-112)/20. Suppose -5*o = -2*o - d. Suppose 0*z - 134 = -2*z. Calculate the remainder when z is divided by o.
11
Let v = -555 - -599. Calculate the remainder when 254 is divided by v.
34
Suppose 4*b + 1 = t + 3*b, b = 3*t - 9. Suppose 78 = t*x + 2*g, 3 = -x + 2*g + 10. Calculate the remainder when 100 is divided by x.
15
Let w = 23 + -3. Let r = 9 + -5. Let a = 33 + r. What is the remainder when a is divided by w?
17
Let f(p) = p**2 + 10*p + 34. What is the remainder when 45 is divided by f(-4)?
5
Let a = 11 - 9. Suppose 6*q - 10*q = 2*p - 58, -3*p + 115 = -q. Calculate the remainder when p is divided by (3 + (-14)/(-4))*a.
11
Let u(r) = 67*r - 226. What is the remainder when u(5) is divided by 5?
4
Let i = -1392 + 1395. What is the remainder when 35 is divided by i?
2
Suppose -2*u + 4 = -u. Suppose 0 = -u*g + 22 - 6. Suppose -40 = -4*r + z, 2*z + 45 = g*r + 5. What is the remainder when r is divided by 6?
4
Suppose -d + 24 = -2*p + 5*p, 4*p = -5*d + 76. Suppose -k + 10 = -35. Calculate the remainder when k is divided by d.
9
Let y = -48 + 54. Suppose 60 = 6*g + y. What is the remainder when 2 + -3 + 16 + 1 is divided by g?
7
Let y(v) = -v**3 - 7*v**2 - 6*v - 15. Suppose 5*o + 55 - 20 = 0. What is the remainder when y(o) is divided by 8?
3
Suppose 4*b - 50 = p + 41, 0 = -2*b - 2*p + 48. Calculate the remainder when 55 is divided by b.
9
Let h = -305 - -329. Let m be 1*2*1*1. Suppose 35 = m*w + 3*z + 8, -4*w + 5*z = -21. Calculate the remainder when h is divided by w.
6
Suppose 2*c - 7 = 7. Suppose c = 2*f + 1. Let d(p) = 16*p - 317. What is the remainder when f is divided by d(20)?
0
Let f be (-10)/4 + 4/8. Let g be (f/4)/(13/(-156)). Suppose -g = r - 16. What is the remainder when 17 is divided by r?
7
Let y = 72 - -96. What is the remainder when y is divided by 34?
32
Let y(s) = -15*s - 6. Let d be y(-7). Let v = -60 + d. Calculate the remainder when v is divided by (2 - (-2*3 - 4)) + -2.
9
Suppose 0 = -g - 2*o + o + 8, 5*g = o + 16. Suppose -g*y - 2*y + 282 = 0. Let v(z) = 3*z + 3. Calculate the remainder when y is divided by v(3).
11
Suppose -19*m + 836 = -0*m. Calculate the remainder when m is divided by 16.
12
Suppose 6*z - 628 = 128. Let w = 175 - z. Calculate the remainder when w is divided by (26/6)/(1/3).
10
Suppose a - 11 - 2 = 0. Suppose -a*v = -15*v + 20. What is the remainder when 37 is divided by v?
7
Let t be 1/4*(-1 - 63/(-7)). Suppose -4*c + 66 = t*n - 9*c, 3*c - 227 = -5*n. What is the remainder when n is divided by 10?
3
Let j = -308 + 327. What is the remainder when 70 is divided by j?
13
Suppose -3*z + 68 = 53. Let g(y) be the second derivative of y**5/20 - y**4/12 + 7*y**2/2 - 5*y. What is the remainder when g(0) is divided by z?
2
Let w(k) be the second derivative of 5*k**3/6 - 5*k**2/2 - 2*k. Let r be w(5). Let c = r - 14. Calculate the remainder when c is divided by 3.
0
Suppose -3*p + 162 = -63. Suppose -5*x = -183 + 53. What is the remainder when p is divided by x?
23
Let y = 2 + 2. Let q(o) = 1 + 0*o**3 - 4*o**2 + 0*o + o**3 + o - 5*o**2. What is the remainder when q(9) is divided by y?
2
Suppose 497 = -7*r + 14*r. Calculate the remainder when 271 is divided by r.
58
Let x be 19/(-57) + 53/(-3). What is the remainder when 180 is divided by ((-24)/9)/2*621/x?
42
Let v(a) = a**3 + 35*a**2 - 37*a + 25. Calculate the remainder when v(-36) is divided by 41.
20
Suppose 8 = -p - 3*p, 5*p + 30 = 5*k. Suppose 29*j - 6*j - 161 = 0. What is the remainder when j is divided by k/10 + (-26)/(-10)?
1
Suppose -r = -o - 6, 0*r + 5*r = -5*o - 10. Let c(h) = -10*h - 83. Calculate the remainder when c(-9) is divided by r.
1
Suppose 0 = -5*r + 4*k + 3018, 4*k + 6 = k. Calculate the remainder when r is divided by 36.
26
Suppose 0 = 7*a - 12*a + 5, -3*h - 3*a = -81. Calculate the remainder when 436 is divided by h.
20
Let c(t) = 135*t**2 + 6*t + 8. What is the remainder when c(-1) is divided by 35?
32
Let c(m) = -m**3 + 13*m**2 - 10*m + 2. Suppose w - 2*t = 3*w + 60, -4*w + 5*t = 138. Calculate the remainder when c(12) is divided by (-2)/6*(5 + w).
8
Let a(j) = 44*j - 74. What is the remainder when 120 is divided by a(3)?
4
Let l(b) = -2*b + 15. Let o be -3 - (-14)/(-4)*-2. Suppose 3*m - 52 = -o*k, -5*k - m = -11 - 65. What is the remainder when k is divided by l(3)?
7
Calculate the remainder when ((27/(-6))/(-3))/((-48)/(-6656)) is divided by 57.
37
What is the remainder when 49 is divided by (10 - 2)*10/((-160)/(-52))?
23
Let p(k) = 88*k - 12. Calculate the remainder when p(1) is divided by 17.
8
Let n = -1 + 3. Suppose 3*y - 196 = -52. Suppose 30 = -5*f + 2*a + 108, n*f = 5*a + y. Calculate the remainder when f is divided by 4.
2
Let s(v) be the third derivative of 1/120*v**6 + 1/24*v**4 - 13/60*v**5 - 4*v**2 + 0*v + 0 + 1/6*v**3. Calculate the remainder when 24 is divided by s(13).
10
Let g(i) = i**3 - 7*i**2 + 6*i. Let l be g(6). Suppose 12 = n + 2*n, l = 5*c - n - 231. Calculate the remainder when c is divided by 12.
11
Let j(w) = 2*w**3 + 7*w**2 + 2*w - 1. Calculate the remainder when 96 is divided by j(-2).
5
Let f be (-1)/(4 + (-255)/65). What is the remainder when f*(-3 + 1 + -1) is divided by 8?
7
Let i be 47 - -1*(0 + 1). Suppose -l = -3, -i = -3*u - 0*l + 2*l. Calculate the remainder when 34 is divided by u.
16
Let k = 4 - 1. Suppose 0 = 2*q + 4*q - 24. Suppose -4*v + 9 = v + p, -q*v + 13 = -5*p. Calculate the remainder when k is divided by v.
1
Let m = 9 - -58. Let o(c) = 17*c. Let g be o(4). Suppose 4*z - g = -0*z. Calculate the remainder when m is divided by z.
16
Let j = -66 + 111. Let q = -19 - 17. What is the remainder when j is divided by (3/2)/(q/(-384))?
13
Suppose -48 = -26*q + 23*q. What is the remainder when 1/((-122)/(-60) - 2) is divided by q?
14
Suppose 2*p + 1 = 39. Suppose -40 - p = -m. What is the remainder when m is divided by 10?
9
Suppose -4*f - 5*i + 88 = 0, -3*f - i + 53 + 13 = 0. Suppose 0 = h + h + 178. Let g = h - -153. Calculate the remainder when g is divided by f.
20
Let w(z) = 3*z + 4. Let s(c) = 2*c + 3. Let r(h) = 6*s(h) - 5*w(h). Suppose -3 - 37 = 4*j. Calculate the remainder when 109 is divided by r(j).
25
Let f = 95 + -101. Let x = f + 15. Calculate the remainder when 21 is divided by x.
3
Suppose 6*p + 106 = 4*p. Let f = -37 - p. Calculate the remainder when f is divided by 10.
6
Suppose 3*b - 29 = 10. Suppose 22*z - 538 = 3*z + 1153. What is the remainder when z is divided by b?
11
Suppose -20*i = -17*i + 5*c - 43, 5*i - 61 = -3*c. Suppose -4*w - 5*z + 31 = 0, 4*w - 2*z = 5*w - 10. What is the remainder when i is divided by w?
3
Suppose 0 = 2*z - 4*z + o + 29, 5*z - 2*o = 75. Suppose z*s - 20*s = -18. What is the remainder when 10 is divided by s?
4
Suppose -5*u + 8*u = 0. Suppose u = -0*t + t - 2. What is the remainder when 275/22 - 1/t is divided by 7?
5
Suppose 10*b - 6*b + 60 = 0. Suppose -2*c + 15 = 3*o, -2*c + 4 + 6 = -2*o. Calculate the remainder when (1 - 1/2)*2 - b is divided by c.
4
Suppose 0 = -5*b - 3*t + 2585, 2*b - 5*b = 5*t - 1567. Calculate the remainder when b is divided by 11.
8
Suppose -n - n + 70 = 3*o, -29 = -o + 5*n. Let q = -14 + o. Let t(f) = -f**2 + 7*f - 2. What is the remainder when q is divided by t(6)?
2
Suppose -44 - 16 = -2*w. Let v(c) = 2*c**2 - 3*c - 3. Suppose 3*a - 3 = 9. Calculate the remainder when w is divided by v(a).
13
Suppose 3*b + 9*j = 8*j + 29, b - 3*j = 13. Calculate the remainder when 88 is divided by b.
8
Suppose -8*d + 5*d = -4*x + 1444, -20 = -5*d. What is the remainder when x is divided by 122?
120
Let r be 18/45 - (-14)/(-10). Suppose 3*j + 64 - 199 = 0. Calculate the remainder when j is divided by r/(-4) - (-182)/8.
22
Let i be 670/18 + 20/(-90). Suppose -2*t = 5*g - 318, 0 = 3*g - 4*t - i - 133. Calculate the remainder when g is divided by 8.
6
Suppose -v = -c + 3*v + 18, -5*c - 5*v = 10. Suppose -c*g + 165 = 3*g - 3*m, 0 = 4*m. What is the remainder when g is divided by 12/54 - (-302)/18?
16
Suppose 3822 = 46*a - 2204. Calculate the remainder when 