- 7). Let n = c + 54. Calculate the remainder when 105 is divided by n.
24
Let n(p) = -p**2 + 7*p - 5. Let x be n(2). What is the remainder when (-52)/(-5) - 2/x is divided by 3?
1
Suppose -4*f - 3*u + 113 = 0, 24*f + 133 = 29*f + u. Calculate the remainder when f is divided by 14/((-5 + 1)/(-2)).
5
Let m be (-6)/2*4/(-3). Suppose m*f + 6 - 149 = 3*k, 2*f - 68 = -2*k. Calculate the remainder when f is divided by 19.
16
Let s(r) = 6*r + 37. Let t be s(-5). Suppose 0 = -t*z + 2*z + 250. Calculate the remainder when z is divided by 26.
24
Let b(u) = -u**3 - 34*u**2 + 33*u - 36. Calculate the remainder when 509 is divided by b(-35).
33
What is the remainder when 192 is divided by 1*(-2)/4 - 279/(-18)?
12
Calculate the remainder when 43 is divided by 1467/63 + 0 + 8/(-28).
20
Suppose 0 = -l + 6*c - 4*c - 7, -c = -4. Let y = -175 - -177. Calculate the remainder when 73 is divided by l + (1 - (y - 25)).
23
Let p = 392 + -361. What is the remainder when p is divided by 9?
4
Let y be ((-24)/9)/(2/(-3)). Suppose -y*n + 2*n + 20 = 0. What is the remainder when 27 is divided by n?
7
Let i = -10 - -16. Let u be (-3 + 0)/3 - (-9 + 5). Suppose -4*b + 3*v = -13, -b = -u*b - 5*v + 13. What is the remainder when i is divided by b?
2
Suppose -2542 = -49*r + 8*r. What is the remainder when 237 is divided by r?
51
Let g = -382 + 497. What is the remainder when g is divided by (-1)/1 + (-3 - -17)?
11
Let j = -3 - -5. Suppose q - j = 5. What is the remainder when (-2)/(-3) - ((-110)/6 + -1) is divided by q?
6
Let k(u) = u**2 + 17*u - 7. Let t(l) = 5*l + 42. Let b be t(-12). What is the remainder when -10*2/3*-3 is divided by k(b)?
9
Calculate the remainder when 64 is divided by (231/44 + -8)*-4.
9
Let q be (-26)/65 + (-237)/(-5). Let l = q - 38. What is the remainder when 35 is divided by l?
8
Suppose 9*n - 2005 + 214 = 0. What is the remainder when n is divided by 16?
7
Let s(z) = 3*z. Let v be ((-6)/(-5))/3 - 96/(-10). Let x = 25 + -9. What is the remainder when s(v) is divided by x?
14
Let w(a) = a**2 + 8*a + 12. Let l be w(-6). Suppose -k + 2*b + 2*b + 94 = l, b = -5*k + 386. What is the remainder when k is divided by 40?
38
Let f be (-4)/6 + 736/6. Let i = -85 + f. What is the remainder when i is divided by 8?
5
Let f = 7 - 12. Let v(g) = -g**2 - 5*g + 5. Let c be v(f). Suppose 0 = -b - c*m - 24 + 4, 4*m = 3*b - 35. What is the remainder when 7 is divided by b?
2
Let n be 536/(-32) + (-6)/(-8). Let l = 43 + n. Calculate the remainder when l is divided by 14.
13
Let r = -101 - -142. Calculate the remainder when 118 is divided by r.
36
Let g(v) = -9*v**2 - 6 - v**3 + 7*v - 22 + 12. Calculate the remainder when 40 is divided by g(-10).
12
Let g(p) be the second derivative of -p**3/6 - 3*p**2/2 + p. What is the remainder when (1 + -10)*-1 - 2 is divided by g(-6)?
1
What is the remainder when (-1407)/14*(6/9 + -2) is divided by 46?
42
Let v = -1141 + 1172. What is the remainder when v is divided by 10?
1
What is the remainder when 134 is divided by (-1224)/(-40) - 4 - (-2)/5?
26
Let w = -25 + 36. Let g = 32 + -13. What is the remainder when g is divided by w?
8
Let c(v) = -4*v**3 - 3*v**2 - 7*v + 10. Calculate the remainder when c(-7) is divided by 13.
10
Let t(d) = -d**2 + 37*d - 238. What is the remainder when t(9) is divided by 2?
0
Let q(i) = i**3 - 14*i**2 - 31*i + 77. What is the remainder when q(16) is divided by 33?
27
Suppose -2*c = -y + 7, -6*c - 53 = -5*y - 2*c. Calculate the remainder when y is divided by 3.
1
Let a(j) = -2*j - 3. Calculate the remainder when 37 is divided by a(-4).
2
What is the remainder when ((-6)/2)/(-3)*(2 + 4) is divided by 5?
1
Let c = 46 - 18. Suppose -27*q - 16 = -c*q. Calculate the remainder when 61 is divided by q.
13
Suppose -5*k = -k - 172. Calculate the remainder when (-5 - (-3)/3) + 8 + k is divided by 10.
7
Suppose -343 + 23 = -5*q. Let w(r) = -r**2 - 9*r - 1. Suppose -3*z + 4*h = -0*h - 2, -5*z = -3*h + 15. Calculate the remainder when q is divided by w(z).
13
Let p(t) = 3*t**2 + 5*t - 67. Calculate the remainder when p(6) is divided by 50.
21
Suppose -f - 25 = -5*j, 5*f = -j - j + 10. Suppose 6*n - n - 5 = f. Suppose w = -2*i - 3*i + 31, -w = -3*i + n. What is the remainder when w is divided by 3?
2
Let t(m) = m**2 - 2*m + 1. Let n be t(1). Suppose -d = -n - 6. Let s(o) = -o**3 - 15*o**2 - 11*o + 52. What is the remainder when s(-14) is divided by d?
4
Let z = -335 + 348. Calculate the remainder when 180 is divided by z.
11
Suppose g - 388 = 5*s - 24, 5*g - 164 = 2*s. Let y be ((-5)/2)/(6/s). Suppose y = 12*j - 7*j. What is the remainder when 9 is divided by j?
3
What is the remainder when 363 is divided by (-4088)/(-28)*(3 - 0)/6?
71
Let v = -19 + 50. What is the remainder when 94 is divided by v?
1
Let j(c) = -c**2 + 12*c + 8. Let a be j(14). Calculate the remainder when 92 is divided by -5 + -2 + 6 - a.
16
Calculate the remainder when 30 is divided by -4 + -7*1/(-1).
0
Suppose 0 = 25*i - 4*i - 40320. Calculate the remainder when i is divided by 148.
144
What is the remainder when 187 is divided by (-12)/(-48)*-30*(-12)/10?
7
Suppose -4*c = -4*a + 1088, 6*c - 2*c - a = -1073. Let u = 504 + c. What is the remainder when u is divided by 15?
12
Let p(u) = u**2 - 27. Let a be p(5). Suppose 5*x - 7 = d, 0 = -5*x - d - d + 1. What is the remainder when (a/(-4))/(x/108) is divided by 19?
16
Let q(d) = 6*d**2 + 8*d + 16. Calculate the remainder when q(5) is divided by 13.
11
Suppose 3*q = -9, 13*s - 8*s = 3*q + 939. What is the remainder when s is divided by 42?
18
Suppose 5*p + 53 = 23. Let d = p + 11. Let w(v) = v**2 + 9*v + 12. Calculate the remainder when d is divided by w(-8).
1
Suppose 7*w - 107 = 5. Calculate the remainder when 59 is divided by w.
11
Suppose -636 = 2*p - 5*p + 5*m, 3*p - m - 636 = 0. Suppose -5*z + p = -143. Calculate the remainder when z is divided by ((-4)/3)/((-8)/108).
17
Let w = -23 - -54. Let j = -28 + w. Calculate the remainder when 3*(-1)/j*-54 is divided by 15.
9
Calculate the remainder when 19 is divided by (-9)/9 + (21 - 4).
3
Let n = 4 + 5. Let z be (-9 + n)/(2*1). Suppose 4*i - 53 + 17 = -4*r, z = -3*i - 5*r + 23. What is the remainder when 19 is divided by i?
8
Let b(a) = -a**3 + 6*a**2 + 6*a + 7. Let d(h) = -h**3 - 5*h**2 + 6*h + 9. Calculate the remainder when b(6) is divided by d(-6).
7
Let h = -2057 - -2102. Calculate the remainder when 75 is divided by h.
30
Let b = -1039 - -1113. What is the remainder when 665 is divided by b?
73
Suppose 50*q = 51*q - 29. What is the remainder when q is divided by 10/(-6)*(-18)/2?
14
Suppose 5*s - 30 = -3*q, 4 = q - 2*q + 3*s. Suppose q*o + 67 = c, 3*c + o = -o + 286. Calculate the remainder when c is divided by 32.
28
Suppose -24 = -11*m + 20. Let u = 29 - m. What is the remainder when u is divided by 10?
5
Let c = 1073 - 613. Suppose 6*j - c = 4*j. Suppose -3*u - 59 = -j. What is the remainder when u is divided by 15?
12
Let g be -4 + 0/2 - -9. Suppose g*u - 86 = 44. What is the remainder when 49 is divided by u?
23
Let s = -1152 + 1183. Suppose -258 = -2*j - 74. What is the remainder when j is divided by s?
30
Let v(t) = -t**2 + 37*t - 235. Calculate the remainder when v(26) is divided by 28.
23
Let h(y) = -y**3 + 10*y**2 - 10*y + 12. Let v be h(9). Suppose m = v*m - 62. What is the remainder when m is divided by ((-66)/24)/(2/(-8))?
9
Let l(z) = -z**3 + 17*z**2 + 5*z + 17. Let c be l(17). Suppose 3*m - c = 12. Calculate the remainder when m is divided by 7.
3
Let p(r) = -r**2 - 16*r - 13. Calculate the remainder when p(-15) is divided by 2.
0
Suppose -62*d + 308 = -58*d. Calculate the remainder when d is divided by 4.
1
Suppose -5*u + 7*r - 2*r = -65, u + 5*r - 31 = 0. Suppose 1445*l - 1438*l = 777. Calculate the remainder when l is divided by u.
15
Suppose 79 = 19*q - 567. Calculate the remainder when q is divided by 13.
8
Let c(i) = 5*i**2 - 30*i - 12. What is the remainder when c(11) is divided by 44?
43
Let u = 13 - 3. Let t = 29 - 24. Suppose -s = 3*s + 4, -3*r = -t*s - 116. What is the remainder when r is divided by u?
7
Let q = -48 - -53. Suppose -1 = -i + q. Calculate the remainder when 27 is divided by i.
3
Suppose -6*l = 33 - 51. Suppose -3*a - 4*f = 4, -3*a - 2*a = 5*f. What is the remainder when a is divided by l?
1
Suppose -4*f