when n is divided by w.
9
Suppose 6*w = -w. Suppose w = -5*s + 7*s + 54. What is the remainder when ((-36)/3)/3 - s is divided by 9?
5
Let j(t) = -t**2 + 35*t - 1. Let i be 37/111 + 2/6*98. Calculate the remainder when j(i) is divided by 31.
3
Let y(j) = -4 - 2*j**2 - 5*j - 4*j + 0*j + j**2. What is the remainder when 117 is divided by y(-7)?
7
Suppose 5*w = w. Let y be 4/4*(-6 + 13)*1. Suppose -2*g + 10 = -2*s, -g + 4*s + w = y. Calculate the remainder when g is divided by 2.
1
Let i(l) = 8*l + 79. Let y(a) = 16*a + 158. Let m(x) = -7*i(x) + 4*y(x). Suppose -4*h - 32 = -8*h. Calculate the remainder when m(-8) is divided by h.
7
What is the remainder when 477 is divided by 10740/60 - 2*5?
139
Let k be ((-77)/(-22) - (-1 - -1))*6. Calculate the remainder when 263 is divided by k - (34/14 - 27/63).
16
Suppose 3121*c - 3130*c + 855 = 0. What is the remainder when c is divided by 41?
13
Suppose 0 = 4*u - 5*f - 1 - 0, 3*u - 4*f = 0. Let g(h) = -u*h - 3*h - 7*h - 5 - 8 + 2*h**2. Calculate the remainder when 139 is divided by g(10).
45
Let y be ((-161)/(-21) - 7)/((-2)/393). Let h = y + 136. Calculate the remainder when 91 is divided by h.
1
Let w(n) = -23*n - 1211. What is the remainder when 3074 is divided by w(-58)?
122
Suppose -8371 = -23*t + 12*t. Let v = t + -643. What is the remainder when v is divided by 39?
1
Let n be (0 + -1)*-4*(-17)/(-34). Let l(p) = -17*p**2 + 2*p**3 + 22 - 123*p - 3*p**3 + 85*p + n*p**3. Calculate the remainder when l(19) is divided by 15.
7
Let b(c) = c + 63. Let a be b(-57). Let o(i) = 6*i**2 + i - 4. Let l be o(4). Suppose -a*v - l = -10*v. What is the remainder when v is divided by 14?
10
What is the remainder when -11 - (-13)/((-26)/(-1000)) is divided by 62?
55
Suppose -12288 = -183*b + 8025. What is the remainder when 361 is divided by b?
28
What is the remainder when 981 is divided by 2/(-8) + (-110240)/(-1664)?
57
Let v(j) = j**2 - j - 3. Suppose -5*w + 128 - 113 = 0. What is the remainder when w is divided by v(3)?
0
Let x be (2*1/2)/((-20)/(-100)). Suppose 8*g - x*g + i = 45, 3*g = i + 45. Suppose g*c - 63 = 12*c. Calculate the remainder when 72 is divided by c.
9
Let j(x) = 12*x + 609. Calculate the remainder when 1285 is divided by j(-48).
31
Let j = 16930 - 15658. What is the remainder when j is divided by 116?
112
Suppose 0 = 16*f - 17*f. Suppose f*h + 80 = 4*h. Suppose -2*i = 5*z - 21, -5*i - z + h = -21. Calculate the remainder when 71 is divided by i.
7
Suppose 5*m + 11*f - 93 = 8*f, -2*m = f - 38. What is the remainder when 4073 is divided by m?
20
Let o(r) = -48*r + 142. Calculate the remainder when o(-39) is divided by 18.
16
Suppose 3485 = -3*g + 9*g + 179. What is the remainder when 4410 is divided by g?
2
Suppose -3*s - 193 = -i, 6*i - 2*i - s = 794. Suppose -3*n + 104 = -2*g, 4*n - 74*g - 399 = -95*g. Calculate the remainder when i is divided by n.
31
Let w = 217 - 185. Suppose 69 = 4*x + 1. Suppose -m = x - w. Calculate the remainder when 43 is divided by m.
13
Let i = -16530 + 16551. Calculate the remainder when 803 is divided by i.
5
Let t = 25 + -21. Let c(p) = -p**3 - 2*p**2 + p - 3. Let n be c(-3). Suppose h + n = 9. What is the remainder when h is divided by t?
2
Suppose 2434 = 2*d + 4*u, -5*d + 2*u = 363 - 6508. Calculate the remainder when d is divided by 82.
79
Suppose -148*q - 7*q + 20150 = 0. Let n = -7 + 4. What is the remainder when q is divided by (-1)/n - 224/(-12)?
16
Suppose -3*m = q + 323, 935 = 5*q + 5*m + 2570. Let x = -231 - q. Calculate the remainder when 192 is divided by x.
94
Let d(g) = -36*g - 505. Calculate the remainder when d(-46) is divided by 128.
127
Suppose i + 7*x - 9*x - 156 = 0, i + 2*x - 172 = 0. Let o(k) = k**3 - 2*k**2 + 2*k - 3. What is the remainder when i is divided by o(3)?
8
Let k(g) = 2*g + 12. Let t be k(-4). Suppose -186 - 31 = -3*a + z, t*a - 5*z - 282 = 0. What is the remainder when a is divided by 41?
32
Let m(w) be the second derivative of -w**5/20 - w**4/2 - w**3 + w**2/2 + 5*w. Let d = 4440 + -4410. Calculate the remainder when m(-8) is divided by d.
27
Let q(y) = 43*y - 35 + 59 - 26. Let b be q(-1). Let n = -36 - b. What is the remainder when 26 is divided by n?
8
Let m(v) = v**3 + 4*v**2 - 56*v + 233. What is the remainder when 270 is divided by m(5)?
92
Let j(h) = h**2 + 3*h - 67. Let n be j(-19). Suppose 0 = 4*m - 301 + n. Calculate the remainder when 91 is divided by m.
11
Suppose 7 = -4*m + 27, w - 16 = -3*m. What is the remainder when 47 is divided by w?
0
Let i(d) = -2*d**2 + 13*d**2 - 2*d + 30*d**2 + 1. Let p = 39 - 16. Calculate the remainder when i(1) is divided by p.
17
What is the remainder when ((20/(-6))/(-5))/((-20)/(-12390)) is divided by 21?
14
Suppose j = -d - 1 + 65, 3*d - 3*j = 192. Calculate the remainder when 202 is divided by d.
10
Let j = 164 - 72. Let s = 2092 - 2065. Suppose 7*o - s = j. Calculate the remainder when 135 is divided by o.
16
Suppose 5*u + 2*a = 523, 2*u + 4*a + 17 = 239. Calculate the remainder when u is divided by (-52*14/(-56))/1.
12
Suppose -23*r - 5*u = -24*r + 933, 3*r - u = 2841. What is the remainder when r is divided by 34?
30
Suppose -320 = 3*h - 2*c, c + c - 2 = 0. Let p = 135 + h. Calculate the remainder when p is divided by 8.
5
Let x = 1599 - 1576. Suppose -2*h + 40 = -34. Calculate the remainder when h is divided by x.
14
Let z = -109 + 49. Let j be ((-8)/z*-3)/(2/(-10)). Suppose j*u = 5*q + 7, -2*q = 2*u + 1 - 15. Calculate the remainder when u is divided by 3.
0
Let i(s) = -26*s**2 - 478*s + 28. Calculate the remainder when i(-15) is divided by 30.
28
Calculate the remainder when (-45)/63 - (-14757)/21 is divided by 22.
20
Let m(z) = -z**2 + 235*z + 6535. Calculate the remainder when 1608 is divided by m(-25).
33
Let n = -725 - -133. Let r = 630 + n. Calculate the remainder when r is divided by 11.
5
Let p be 34/3*24/(-16)*-70. Suppose 4*k - p = y, 5*k - 1498 = -0*k - 4*y. Calculate the remainder when k is divided by 30.
28
Suppose 24 = -66*v + 72*v. Suppose -2*f = -v*x - 31 - 7, 4*f = -x + 121. Calculate the remainder when 136 is divided by f.
20
Suppose -32 = -2*d - 2*d. What is the remainder when 776314/33796 - 1/(-34) is divided by d?
7
Let z = -816 + 853. What is the remainder when z is divided by ((576/(-40))/4)/(6/(-40))?
13
Let p = 24 + -35. Let b(g) = 27 - 3*g + g - 25*g + 28*g. Calculate the remainder when b(p) is divided by 3.
1
Suppose -21 = m - 26. Let a = 12 - m. What is the remainder when 201 is divided by a?
5
Let o(l) = -l + 7. Let q be o(-5). Suppose -4*x + 20 = -q. Suppose 4*d - 116 = -4*f, -4*d + 169 = f + 59. What is the remainder when d is divided by x?
3
Let j = 119 - 106. Suppose -j*b + 47 = -18. Calculate the remainder when (-1)/(-5) + (-1813)/(-35) is divided by b.
2
What is the remainder when 137 is divided by ((-3)/(-4))/(21*28/45472)?
21
Suppose 3*u - 1440 = 2*o, 16*o - 17*o - 9 = 0. Calculate the remainder when u is divided by 11.
1
Suppose -2*q - 2*q + 40 = 0. Let z(h) = 5*h**3 + h**2 - 5*h + 1. Let a be 3 - (-2)/6*-3. Calculate the remainder when z(a) is divided by q.
5
Let c(o) = o**2 - 21*o - 269. Calculate the remainder when 62 is divided by c(31).
21
Suppose -3*c + 6 - 2 = -2*q, -2*q = 4*c - 24. Suppose -c*b + 2*r = -62, -5*b + 3*r + 39 = -2*b. What is the remainder when 105 is divided by b?
15
Let u = -18 - -18. Suppose -3*b = 5*g - 24, 3*b - 9 = -u*b. Suppose 0 = -g*d - 0*d + 150. Calculate the remainder when 198 is divided by d.
48
Suppose -36*m + 38*m - 8 = 0. Let c = 411 + -392. What is the remainder when c is divided by m?
3
Let h(l) = -l**3 - 13*l**2 - 13*l - 2. Let k be h(-12). Let p(o) = 3*o - 1. Let n(t) = -t + 112. What is the remainder when n(0) is divided by p(k)?
25
Let z(d) = 2*d**3 - 6*d**2 - 2*d - 16. Let l be z(5). Suppose 0 = 14*r - r + 793. Let t = l + r. Calculate the remainder when 48 is divided by t.
9
Suppose -6*f + 187 = -101. What is the remainder when 447 is divided by f + 4 - (6 + -4)?
47
Let z = -788 + 844. What is the remainder when (-8664)/(-39) - (-2)/(-13) is divided by z?
54
Let j(t) = 3*t**2 - 4*t - 4. Let d(y) = -y**2 + 3*y + 380. Let b(w) = w**2 - 56*w + 193. Let i be b(52). Calculate the remainder when d(i) is divided by j(4).
26
Suppose 6579 = -4*x + 6867. Calculate the remainder when 205 is divided by x.
6