e 38*z - 45 = 29*z. Calculate the remainder when 6/2 - (-4)/2 is divided by z.
0
Let a(t) = 7*t**2 - 2*t - 3. Let l(m) = -20*m**2 + 6*m + 10. Let h(f) = 10*a(f) + 3*l(f). Calculate the remainder when 21 is divided by h(-1).
9
Let x(p) = -2*p**3 + 3*p**2 + 4. Let h be x(3). Let n = h + 36. Let v = n - 9. What is the remainder when 13 is divided by v?
1
Let j(g) = g**2 + 14*g - 12. Let a be j(-15). Suppose -5*q + 32 = -5*k - 53, -a*k = 3*q - 63. What is the remainder when 56 is divided by q?
18
Suppose 628 = 25*s - 12972. Calculate the remainder when s is divided by 19.
12
Suppose 4*h = -4*i + 236, -h - 4*i = -i - 61. Let j = h + -36. What is the remainder when 33 is divided by j?
11
Suppose -7*t + 5*t = 3*k - 172, 2*t - 232 = -4*k. Suppose 3*y - 87 = k. Suppose -5*z + 6 = -y. Calculate the remainder when 20 is divided by z.
9
Suppose 5*f + y - 3*y - 140 = 0, 0 = 5*f + y - 125. Calculate the remainder when 55*32/14 + 26/91 is divided by f.
22
Let t be -3 + (2 + -2)/3. Let j be (3*t)/((-2)/(-6)). What is the remainder when (-1)/(2 + j/13) is divided by 8?
5
Let p = 92 + -76. Let m(d) = -d**3 + 15*d**2 + 16*d + 18. Suppose -97 = -h - 26. What is the remainder when h is divided by m(p)?
17
Calculate the remainder when 167 is divided by (-273)/(-3) - 4*35/28.
81
Let l = -11 + 13. Suppose l*u - 2 = 16. Calculate the remainder when u is divided by 5.
4
Suppose 3*u + u = 80. Suppose 0 = 2*j - u - 0. Calculate the remainder when 19 is divided by j.
9
Let i(z) be the third derivative of -z**4/3 - z**3/2 + 16*z**2. Calculate the remainder when i(-1) is divided by 3.
2
Let i = -8 + 6. Let f be i/(-7) - 54/(-7). Suppose 0 = 2*j + 2*r - 0*r - 16, j = -3*r + f. What is the remainder when 31 is divided by j?
7
Let o = 361 - -222. What is the remainder when o is divided by 73?
72
Suppose 21*i + 35 = 22*i. What is the remainder when 139 is divided by i?
34
Let u = 61 - 63. Let c be -2*(45/(-2))/5. Let i = u + c. Calculate the remainder when 12 is divided by i.
5
Suppose -5*i + 4*y + 35 = 0, 5*i + 28 = -3*y + 98. Suppose o = i + 26. What is the remainder when o is divided by 8?
5
Let t(b) = b**2 + 3*b - 13. Let r = -31 + 25. What is the remainder when t(7) is divided by 9/((-45)/(-20)) - r?
7
Suppose 0 = -10*w + 17*w - 1239. Calculate the remainder when w is divided by ((-2)/(-3))/(4/180).
27
What is the remainder when (-105)/25*(-1235)/39 is divided by 20/(-12)*-15 + 2?
25
Suppose 16*d - 2*i = 13*d + 52, 3*i = -4*d + 92. Calculate the remainder when d is divided by 3.
2
Suppose 5*a = 23 - 3. Let k be (8/(-10))/((-8)/40). Suppose k*i = -3*l + 73, -a*i = -0*i - l - 61. Calculate the remainder when i is divided by 9.
7
Suppose -22*k = -59 - 73. What is the remainder when 16 is divided by k?
4
Let a(l) = l - 5*l + 0*l - 1. Let m(y) = 5*y - 1. Let x be m(-1). What is the remainder when a(x) is divided by 5?
3
Let k(g) be the second derivative of 2*g**4/3 - g**3/2 - 2*g**2 + g. Suppose -22 = -r - 25. Calculate the remainder when k(r) is divided by 26.
25
Suppose -4*m + 5*s = -19, 0 = 2*m - 5*s - 6 - 1. Suppose -16 = 2*w - 4*w. Calculate the remainder when (-7)/((-2)/m*1) is divided by w.
5
Suppose 9*l - 3104 = -2213. Calculate the remainder when l is divided by 3.
0
Let y(v) = v**2 + 5*v + 4. Let p be y(-3). Let s be 0/p - (-56)/2. Suppose 0*x + x = s. What is the remainder when 111 is divided by x?
27
Suppose 8 = -4*u, -4*u - 32 + 6 = -2*i. Let a(j) = j**3 - 7*j**2 - 10*j + 2. Calculate the remainder when a(i) is divided by 38.
36
Suppose -2 = -3*j + 202. Calculate the remainder when j is divided by 14.
12
Suppose 26 = a - 2. What is the remainder when 45 is divided by a?
17
Suppose 0 = -3*d + d + 6. Suppose 6*y = d*y + 90. Suppose -y = -3*q - b + 8, 4*b - 48 = -4*q. What is the remainder when 49 is divided by q?
10
Let s(o) = -16*o + 35. What is the remainder when s(-6) is divided by 38?
17
Suppose 3*z - 216 = 3*s, 0 = -2*z + 6*s - 11*s + 130. Calculate the remainder when z is divided by 41.
29
Let x = -845 - -855. Let b(r) = r**3 + 4*r**2 - r + 3. Let o be b(4). Suppose -5*a = -o - 13. Calculate the remainder when a is divided by x.
8
Suppose -5*l = -4*i + 29 - 0, 2*l - 39 = -3*i. What is the remainder when i/1 + -6 - (1 - -2) is divided by 1?
0
Let q(a) = -3*a - 8. Let n be (-21)/28*(-3 - 1). Suppose n*g = -4 - 11. Calculate the remainder when 13 is divided by q(g).
6
Suppose 2*s = -2*w + 292, -4*s - 218 = -2*w + 86. Calculate the remainder when w is divided by 25.
23
Suppose -338 - 787 = -5*t. Calculate the remainder when t is divided by 57.
54
Suppose -4*q - 2*m = -366, -m + 72 + 200 = 3*q. What is the remainder when 191 is divided by q?
13
Suppose 5*b = 3*a - 2750 + 2759, -3*b + 2*a = -4. Suppose 0 = -0*f + 2*f - 3*c - 42, -44 = -4*f - 4*c. What is the remainder when f is divided by b?
3
Suppose 148 = 4*t - 3*n, 3*t - 3*n = t + 80. Let m = 4188 + -4091. What is the remainder when m is divided by t?
29
Suppose -14*o - 208 = -66*o. Calculate the remainder when 259 is divided by o.
3
Suppose 1074 + 1370 = 13*c. What is the remainder when c is divided by 24?
20
Let a(s) = 8*s - 40. Let p = -11 - -27. Let r be a(p). Suppose -6*g - 3*z = -2*g - r, 110 = 5*g - 5*z. Calculate the remainder when g is divided by 12.
10
Suppose -6*x + 17*x = 1023. What is the remainder when x is divided by 14?
9
Let q be (2 - 3) + 3 - 2 - 116. Let n = q + 146. What is the remainder when 178 is divided by n?
28
Suppose -5*c - 18 = -k + 41, -5*k = -c - 223. What is the remainder when k is divided by 15?
14
Let c(w) = 3*w**2 - 4*w + 1. Calculate the remainder when c(4) is divided by 24*(0 - -4)/8.
9
Suppose 72 = 4*t - 8. Suppose 0 = 4*o - t - 28. Suppose -4*z + n = -0*n - 86, -2*z + n = -42. What is the remainder when z is divided by o?
10
Let k = 268 + -264. Calculate the remainder when (-14 - 7)*(-2)/3 is divided by k.
2
Suppose -t + 65 = 4*t. Let p = 3077 - 3070. What is the remainder when t is divided by p?
6
Let q(y) = -4*y - 1. Suppose -5*i + 5*b = 0, i + 0 = -5*b - 18. Let f = 108 + -65. What is the remainder when f is divided by q(i)?
10
Suppose -a - 3*a + 16 = 0, 0 = -5*v + 5*a - 95. Let s = v - -16. What is the remainder when -4 + 30 + 2 + s is divided by 16?
13
Let g = -2 + 5. Let a(f) be the first derivative of f**4/4 - 4*f**3/3 + 5*f**2/2 + f + 285. Calculate the remainder when 10 is divided by a(g).
3
Suppose -k - 4*k = 40. Let z = 15 + k. Calculate the remainder when 24 is divided by z.
3
Let o = -11 + 24. Let x(z) = -45*z - 144. Calculate the remainder when x(-4) is divided by o.
10
Let s(j) = j**2 + 5*j + 5. Suppose 0*l - 2*l + 4*c = -20, 2*l + 4 = -4*c. Calculate the remainder when (-1)/((-3 + l/2)/36) is divided by s(-7).
17
Let i = -37 + 23. Let z = 24 + i. What is the remainder when 904/z + 3/5 is divided by 31?
29
Let p(h) = -2*h**2 - 2*h - 6. Let x be p(6). What is the remainder when x/(-15)*13/2 is divided by 10?
9
Suppose k - 18 + 10 = 0. Let g(c) = -c**3 + 9*c**2 - 4*c - 14. Let a = 22 + -12. What is the remainder when g(k) is divided by a?
8
Let m = -33 + 114. What is the remainder when m is divided by (25/10 - -6)/((-5)/(-10))?
13
Suppose -2*s + 16*n - 13*n = -183, -4*n = -2*s + 188. What is the remainder when 334 is divided by s?
82
Let c(m) = m**2 + 10*m + 46. What is the remainder when 110 is divided by c(-9)?
36
Let u = 1023 - 969. Let z = -2 - -10. What is the remainder when u is divided by z?
6
What is the remainder when 14/(-42) + ((-160)/(-3) - -2) is divided by 34?
21
Suppose -n + 1 = 3*u, 2*n + n - 14 = 2*u. Let z = 23 - 23. Suppose -4*h - 4 = z, -3*a + 63 + 16 = 2*h. Calculate the remainder when a is divided by n.
3
Let f be 2/4*(0 + 2). Suppose 3*o - 7 = -h, h + 4*o - 18 = -14. Calculate the remainder when h is divided by 5*(4/5 + f).
7
Suppose -2*w - 5*i + 0*i - 1 = 0, 3*i = -5*w - 50. What is the remainder when 1 + w/((-39)/144) is divided by 52/(-4)*1*-1?
10
Suppose -2*g - g = -3*r + 300, 2*r - 179 = -5*g. Let h be (-2)/(24/(-822))*2. Let c = h - r. What is the remainder when c is divided by 11?
7
Let k(d) = d**3 + 4*d**2 + 5*d + 7. What is the remainder when 134 is divided by k(-2)?
4
Let i = 1029 - 920. What is the remainder when i is divided by 11?
10
Suppose 5*i - 15 = -2*t, 13 = 3*t - 0*t - 2*i. Suppose 4*p = -t*v + 251, -78 = -v - v + 4*p