 Calculate the remainder when 66 is divided by f.
3
Let h be ((-35)/63*12)/((-2)/3). What is the remainder when (613/(-14) + h/35)*-2 is divided by 10?
7
Let j = 46 + -33. Suppose -2*q - 3*h = -48 - 11, 0 = 4*q + 5*h - 113. Calculate the remainder when q is divided by j.
9
Suppose -5*w + l = -0*w - 48, -2*w - 4*l = -6. Suppose 659 = w*z - 1456. What is the remainder when z is divided by 59?
58
Let l be (-2 + 2 + 2)/(1/(-8)). Let r = 20 - -3. What is the remainder when r is divided by l*(-2 - -6)/24*-3?
7
Suppose 3*b = -5*n + 360, b - 3*n + 584 = 6*b. Suppose 0 = 79*g - 76*g - 3*h - 108, 212 = 5*g + 3*h. What is the remainder when b is divided by g?
35
Suppose 0 = 4*n - z - 802, -7*n + 396 = -5*n + 2*z. Suppose 4*x = 4*k + 172, -x + n = 4*x - 2*k. What is the remainder when 148 is divided by x?
34
Let m(w) be the second derivative of w**4/6 - 2*w**3 + 11*w**2/2 - 4*w. What is the remainder when m(12) is divided by 18?
11
Let r(q) = 4*q**2 + 23*q - 10. Let a be r(-10). Suppose a*l - 155*l - 405 = 0. What is the remainder when l is divided by 4?
1
Let h(d) = -134*d - 11090. Let p = 454 + -252. What is the remainder when p is divided by h(-83)?
10
Suppose -4*c - 4 = -2*m, 2*c - m - 3*m + 2 = 0. Let s = c + 2. Suppose -10*z - 3*x = -11*z + 28, 0 = -2*z - x. Calculate the remainder when z is divided by s.
0
Let j = 392 - 229. Let r(d) = 42*d + 84. Calculate the remainder when j is divided by r(0).
79
Let m(h) = -8*h - 308. Let o be m(-51). Let b(v) = -30*v**3 + v**2 - 1. Let p be b(-1). Suppose -p = 5*u - o. What is the remainder when 31 is divided by u?
3
Suppose 6*w = 4*n - 156 + 242, -n = 8. Let g = 103 - 32. What is the remainder when g is divided by w?
8
Let u = -41 - -43. Let b be (4/(-3))/u*(3 - -3). Calculate the remainder when 18 is divided by 1 - b - (-24 - -25).
2
Suppose y + 55 = 4*a + 1, -5*a = -5*y - 255. Calculate the remainder when (-2370)/y - (-4)/(-10) is divided by 10/25 - 58/(-5).
11
Suppose 823*i + 385 = 834*i. Suppose -184 = -3*v - 4*k, 0 = 3*v + k + k - 182. Let q = v - i. Calculate the remainder when 47 is divided by q.
22
Suppose -2*v + 4*x + 32 = 0, 19*v = 18*v - 3*x + 11. Let o(c) = 41*c**3 - 2*c**2 + 2*c - 1. What is the remainder when o(1) is divided by v?
12
Let q = 21 + -9. Let y(d) = -d**2 + 9*d + 41. What is the remainder when 56 is divided by y(q)?
1
Let m be -1*3 - (-7 - 2). Suppose -m*n = n - 1029. Suppose -3*h + 171 = 5*x, 0*x - n = -3*h + 3*x. Calculate the remainder when h is divided by 19.
14
Let a = 2760 + -2681. Suppose 5*n + 2*q - 45 - 10 = 0, -4*n = -4*q - 72. What is the remainder when a is divided by n?
1
Let m(j) = 177*j - 8129. Suppose -2*l - 42 = -2*w - 228, 0 = 3*l + 2*w - 259. Calculate the remainder when l is divided by m(46).
11
Let s(u) = 9*u**2 - u - 14. Let v(b) = -2*b**3 + 21*b**2 - 8*b + 3. Calculate the remainder when s(5) is divided by v(10).
22
Let r(p) be the first derivative of -2*p**3/3 - 31*p**2/2 - 6*p - 121. Calculate the remainder when r(-6) is divided by 16.
12
Suppose -2*x = 2*k - 26, -2*x + 70 = 4*k - 4*x. Let l(t) = 5*t + 40. Let i be l(-10). What is the remainder when (i/(-5))/((-3)/((-423)/6)) is divided by k?
15
Calculate the remainder when 8 + -21 + (103 - 5) is divided by 15.
10
Calculate the remainder when 919 is divided by 74 - (17 + -9 + 4) - -4.
61
Suppose -2*x - 5*f - 3 = -6*x, -5*x + 4*f = -6. Suppose -19 = -k + 13. Suppose -k = -2*l - 2*h, -x*h = -0*h + 4. Calculate the remainder when l is divided by 5.
3
Let l = -48 - -93. Suppose g + l = 2*g. Suppose -x - g = -4*x. What is the remainder when 89 is divided by x?
14
Let y(g) = -9*g**2 - 13*g - 1. Let j be y(5). Let n = -229 - j. What is the remainder when n is divided by 9?
8
Suppose -26*x + 28*x - 4181 = -35*x. Calculate the remainder when x is divided by 30.
23
Let k(q) = 94*q**3 + q**2 + 3*q + 2. Let z be k(-1). Let n = -77 - z. Suppose 11*m - n - 214 = 0. What is the remainder when 102 is divided by m?
18
Let k = -38896 - -38964. Calculate the remainder when 36717 is divided by k.
65
Let y = 163 + -179. Let o(c) = -2*c - 4. What is the remainder when 83 is divided by o(y)?
27
Let k(c) = -6*c**3 + c**2 + c + 1. Suppose 43*z + 23 = -106. Calculate the remainder when 4*(-12)/72 - 80/z is divided by k(-1).
5
Let y(n) = -n - 1. Let s(j) be the second derivative of 23*j**2 - 13*j. Let u(z) = s(z) - y(z). What is the remainder when 99 is divided by u(-22)?
24
Suppose 13*a - 144 = 571. What is the remainder when 151 is divided by a?
41
Let a be (-9)/((-45)/(-10)) - -4. Suppose 4*h = -a*k + 74, 0 = -12*h + 8*h + 5*k + 81. What is the remainder when 91 is divided by h?
15
Suppose 2885 = 11*l - 6135. What is the remainder when l is divided by 76?
60
Suppose 0 = 311*h - 318*h + 413. Let z(o) = -o**3 + 6*o**2 + 4*o - 12. Calculate the remainder when h is divided by z(6).
11
Suppose -6*c + 116 + 142 = 0. Suppose 0 = 22*s - 104 - 248. What is the remainder when c is divided by s?
11
Suppose -j - 60 + 792 = 0. Calculate the remainder when j is divided by 26.
4
Suppose -2*i + 4*s - 234 = 0, -5*i = 5*s + 207 + 318. Let n = -63 - i. Let z(v) = -v**2 - 11*v - 3. What is the remainder when n is divided by z(-10)?
4
Let a be ((-84)/39 - -2) + (-55125)/(-117). Suppose 5*t - a - 174 = 0. Calculate the remainder when t is divided by 13.
12
Let f = 4588 + -4566. What is the remainder when 634 is divided by f?
18
Let m(a) = -a**3 - 9*a**2 + 8*a - 2. Let d = 4243 - 4206. What is the remainder when d is divided by m(-10)?
1
Suppose -4*p + 5*c = 597, -4*p = -3*p + 2*c + 146. Let r = p + 187. Suppose -f + 10 = -3*k, -k = 3*f - 2*k - 22. What is the remainder when r is divided by f?
4
Suppose 115 = 3*q + 2*y, -3*q - 3*y - 2*y + 103 = 0. Let c(h) = h**3 - 153*h**2 - 104*h - 7456. Calculate the remainder when c(154) is divided by q.
39
Suppose -646*z + 643*z + 21 = 0. What is the remainder when z is divided by (1/(-2))/((-15)/30)?
0
Let j = 7294 + -7112. Calculate the remainder when 1634 is divided by j.
178
Suppose 2*x = -3*x + 3*k + 2817, x + 3*k - 549 = 0. Calculate the remainder when x is divided by 185.
6
Let c = 141 + -28. Suppose 44 = -109*r + c*r. What is the remainder when 624/44 + (-2)/11 is divided by r?
3
Let k(z) = 3*z - 20. Let t be k(5). What is the remainder when 148 is divided by t/(-10) - 198/(-4)?
48
Suppose 14115 = 203*z - 298. Calculate the remainder when 4328 is divided by z.
68
Suppose 2*b - 96 = -b. Calculate the remainder when b is divided by (-5 - -6)*(27 + -18).
5
Let s(c) = -c**2 + 6*c. Let a be s(6). Suppose 3*y - 4*j - 59 = a, 0*y - 5*y - 3*j = -79. Let n = -10014 - -10043. What is the remainder when n is divided by y?
12
Let v be 213*((-1)/3 - -1). Let t = -140 + v. What is the remainder when 3 + (4 - (t - (-5 + 4))) is divided by 3?
1
Suppose 0 = -3*i + 5*r - 47, i - 13 = -3*r - 38. Let w = i + 54. What is the remainder when 52 is divided by w?
17
Suppose 0 = y + 7*y + 256. Let i = -27 - y. Suppose 4*v - 684 = -i*v. What is the remainder when v is divided by 11?
10
Suppose -87*v + 88*v + 3*j = 81, 0 = 2*v + 5*j - 158. Calculate the remainder when 495 is divided by v.
12
Suppose 51*y = 108*y - 57570. Calculate the remainder when 2031 is divided by y.
11
Suppose -5*o = 4*c - 362, -669*o - 347 = -673*o + 5*c. What is the remainder when 805 is divided by o?
25
Suppose 16*p - 11*p = 20. Suppose 2*r - 5*n - 27 = 0, 3*r + 1 = -p*n + 7. What is the remainder when 162 is divided by r?
0
Let f(v) = 2*v**2 - 27*v - 57. Let b be f(18). Suppose 60 = -b*y + 108*y. Calculate the remainder when 36 is divided by y.
16
Let f = -5923 - -6056. Calculate the remainder when 551 is divided by f.
19
Suppose 8*g = 9*g - 3. Suppose 5*i = g*y + 49, 7*y - 3*y + 52 = 5*i. Calculate the remainder when 126 is divided by i.
6
Calculate the remainder when 6413 is divided by (4 + (-289)/85)*155.
89
Let o be -2 - (3 - 2) - (-2 + 46). Let x = -46 - o. What is the remainder when 111 is divided by (-3*x - (2 + -6))*19?
16
Let b be 8/20 - 522/5. Let a = b - -161. Calculate the remainder when a is divided by 30.
27
Let i = 1681 - 162. What is the remainder when i is divided by 18?
7
Suppose -g = -2, -3*b + 2*g = -g + 6. Suppose 5*l + 0*a - 5*a + 215 = b, 4*a + 92 = -2*l. Let f = 64 + l. What is the remainder when f is divided by 4?
0
Suppose 281*u -