e remainder when 7 is divided by p?
2
Suppose 126 = 5*u - 24. Let m be 548/20 + (-6)/15 - -3. Let x = 86 + m. What is the remainder when x is divided by u?
26
Suppose -99*n - g - 329 = -104*n, 0 = -3*n - 4*g + 179. Let i = -169 + 17. What is the remainder when n is divided by i/(-7) + 12/42?
21
Suppose 4*k + 879 = 5*i, 899 = 2678*i - 2673*i + k. What is the remainder when 414 is divided by i?
56
Suppose -1664*z + 1134 = -1650*z. Suppose -2*h - 2*h + 88 = 0. Calculate the remainder when z is divided by h.
15
Let o(k) be the first derivative of 2*k**3 + 3*k**2/2 - 4*k - 9. Let g = -1084 + 1117. What is the remainder when o(3) is divided by g?
26
Suppose 8 = 3*w + 4*r, 2*r - 4 = -2*w + 5*w. Let x = 36 + w. Suppose 4*a + x = 2*d + d, 0 = -5*d + 3*a + 60. Calculate the remainder when d is divided by 8.
4
Let m(d) = -7*d + 71. Let b be m(13). Suppose 0 = 4*v + 5*j - 29, 3*j - 25 = -5*v + 8*j. Let n = v - b. Calculate the remainder when 126 is divided by n.
22
Let f(n) = 36*n**3 - 5*n + 4. Let w be f(2). Let d = 299 - w. Calculate the remainder when 115 is divided by d.
13
Let l be (-765)/7 + (-96)/(-336). Let z = l - -127. Calculate the remainder when 88 is divided by z.
16
Let m(f) = 2*f**2 - 8*f + 51. Let p(k) = 3*k**2 - 15*k + 101. Let h(r) = 13*m(r) - 6*p(r). What is the remainder when h(6) is divided by 53?
49
Let a(q) = -q - 3. Suppose -u + 15 = -4*u. Let d be a(u). Suppose -d*r = -4*r + 8. What is the remainder when 16 is divided by r?
0
Let n = -4 + 2. Let v(d) = 6*d + 140. What is the remainder when (-1)/1 - 112/n is divided by v(-21)?
13
Let k = -156 - -154. What is the remainder when 2/(145/(-73) - -2) is divided by (4/(-2)*(k + 51))/(-2)?
48
Suppose -p + 121 = -3*b - 80, 2*p - 5*b - 409 = 0. Let v(m) = 2*m**2 - 9*m - 7. What is the remainder when p is divided by v(7)?
26
Suppose c + 10 = -f - 2*f, -c + 6 = -f. Suppose 11*y - 16*y = -140. What is the remainder when y is divided by c?
0
Let c be (-11)/55 - 2073/(-15). Let o = 177 - c. Calculate the remainder when 77 is divided by o.
38
Suppose 0 = -k + 245 + 11. Suppose k*y - 255*y = 9. What is the remainder when 33 is divided by y?
6
Suppose -6*d + 7*d = 2*j + 7, 23 = 5*d - 4*j. Suppose d*n - 850 = -775. What is the remainder when 44 is divided by n?
19
Let l = -9 + 97. Suppose -b + l = z, 5*z - 2*b + 268 = 8*z. Calculate the remainder when z is divided by 6/45*9*40.
44
Let u be (1 - 5 - -412) + (-2 - 0). Let g = u - 393. Suppose -4*r + 2*r = -150. Calculate the remainder when r is divided by g.
10
Let l be 31876/65 - (-3)/5. Let p = -453 + l. What is the remainder when 73 is divided by p?
35
Suppose -6*m + m = -3*b + 5, -m - 2*b - 1 = 0. Let w be (-2)/(8/78)*(m + -1). Suppose z - w + 18 = 0. Calculate the remainder when 83 is divided by z.
20
Suppose -2*i = -i - 18. Suppose -16*z = -25*z - i. What is the remainder when 10 is divided by z + (10/2)/(6 - 5)?
1
Let a(n) = -134*n - 733. What is the remainder when 180 is divided by a(-6)?
38
Suppose 0 = 89*u - 381*u + 3128 + 94400. Suppose 0 = 2*v - 3 - 53. Calculate the remainder when u is divided by v.
26
Let o(y) = 155*y + 59. Let m be o(4). Suppose c - 836 = -5*b - 2*c, -c = -4*b + m. What is the remainder when b is divided by 10?
9
Let j(c) = 118*c + 16998. Calculate the remainder when 13726 is divided by j(-144).
4
Suppose 48*h - 3278 - 3541 + 2835 = 0. Calculate the remainder when 103 is divided by h.
20
What is the remainder when ((-17)/1)/(9 + (-138)/15) is divided by 33?
19
Let r be 1/(-2) + 1727/22. Suppose 8*m = 11*m - r. Calculate the remainder when ((-4)/12)/((-2)/450) is divided by m.
23
Suppose 0*f - 4*f = -16. Let s(t) = 2*t**2 + t + 1. Calculate the remainder when 6 + 146 + -4 - (2 + 0) is divided by s(f).
35
Let d = -171 - -172. Let w(p) = 33*p**3 - p**2 + 4*p - 4. What is the remainder when 63 is divided by w(d)?
31
Suppose -592*l + 11287 - 2516 = -585*l. Calculate the remainder when l is divided by 35.
28
Suppose 0 = 11*y + 10*y + 2*y - 2576. Calculate the remainder when 2911 is divided by y.
111
Let u(k) = k**2 - 7*k - 14. Let x be u(8). Calculate the remainder when (-332 - 6)/(x - -4) is divided by 5.
4
Let v(a) = 3*a**2 + 73*a - 14. Let j(i) = i**2 + 12*i - 11. Let f be j(-10). What is the remainder when v(f) is divided by 87?
84
Let z(o) = 2*o + 8. Let i = 5283 + -5130. What is the remainder when i is divided by z(3)?
13
Let y = 9981 - 9923. What is the remainder when 381 is divided by y?
33
Let j = -854 - -4032. Calculate the remainder when j is divided by 17.
16
Let s = -21503 + 21620. Calculate the remainder when s is divided by 81.
36
Suppose -670*i = -673*i + 15, 2*y + 2*i - 21334 = 0. What is the remainder when y is divided by 27?
24
Let l(y) = -38*y + 6. Let w(x) = -33*x + 5. Let a(p) = 3*l(p) - 4*w(p). Calculate the remainder when a(4) is divided by 15.
10
Suppose 438*x + 627 = 439*x. What is the remainder when x is divided by 105?
102
Let r = -35448 + 38657. Calculate the remainder when r is divided by 400.
9
Let y(v) = 4*v - 127. Let h be y(20). Let g = -34 - h. What is the remainder when g is divided by 6?
1
Let b = -143 - -159. What is the remainder when 23 is divided by b + -16 + 4/1?
3
Let h(l) = l - 1. Let k be (78 - (-1)/(-1)) + (-21)/(-7). Let r = -62 + k. Calculate the remainder when 27 is divided by h(r).
10
Calculate the remainder when 11710 is divided by (-6 - (4 - (0 + 8))) + 14.
10
Suppose -3*z - 4*m - 246 = -0*z, 5*z + 5*m = -410. Let r = z + 146. Suppose -4*x + 64 = s, 2*x = s - 0*s - r. What is the remainder when s is divided by 11?
9
Let d(s) = 678*s**2 + 36*s + 1. What is the remainder when d(1) is divided by 213?
76
Let t(i) = 197*i - 577. Calculate the remainder when t(6) is divided by 24.
5
Let g(o) = 6*o - 12. Let p be g(3). Let r(w) = 13*w**2 - 76*w + 9. Let m = 169 - 111. Calculate the remainder when m is divided by r(p).
16
Let u(c) = -c**2 - 44*c - 100. What is the remainder when 111 + 0/(4/1 + -1) is divided by u(-41)?
19
Let u be 9/(-12)*(108 - 4). Let a = 100 + u. Calculate the remainder when 40 is divided by a.
18
Calculate the remainder when (-26232)/(-30) - (-52)/(-130) is divided by 175.
174
Let d = -7883 - -7940. Calculate the remainder when 205 is divided by d.
34
Suppose 0 = -m - 3*s + 9, 115*s - 78 = -4*m + 110*s. Suppose -4*w + 7*w - 228 = 0. Calculate the remainder when w is divided by m.
22
Suppose 175 = -4*r - 5*w, 3*w + 5 - 8 = 0. Calculate the remainder when 105 is divided by ((-2)/(-3))/((-10)/r) - -15.
15
Suppose 5*r - 10 = -b + 4*b, -4*r = -3*b - 8. Let c(s) = -8*s - 12. What is the remainder when c(-10) is divided by (3/(-21) + 169/7)/r?
8
Suppose -p + 285 = 4*w + 2*p, 85 = w - 2*p. Suppose -3*n - 18 = -w. Suppose 2*l + l - 159 = 0. Calculate the remainder when l is divided by n.
15
Suppose -15*u + 1199 = 479. What is the remainder when 62 is divided by u?
14
Let d = 5467 - 5278. Calculate the remainder when d is divided by 16.
13
Let y(h) = -2*h**3 + 39*h**2 - 74*h + 21. Suppose 0 = 3*v - 3 - 156. Calculate the remainder when y(17) is divided by v.
49
Suppose -27*h = -2*k - 29*h + 12700, 5*h + 25436 = 4*k. Calculate the remainder when k is divided by 7.
5
Let n(s) = -s**2 - 2*s + 12. Let v be 8/(-52) - (-4)/26. What is the remainder when 85 is divided by n(v)?
1
Let q = -5206 - -5853. Calculate the remainder when q is divided by 195.
62
Suppose -19*z - 28 = -23*z. Suppose -z*m + 125 = -2*m - 3*q, -50 = -2*m - 5*q. Calculate the remainder when 472 is divided by m.
22
What is the remainder when 85 is divided by 12/((-288)/(-1336)) + 6/18?
29
Suppose -3*f = 21*f - 0*f - 29736. Calculate the remainder when f is divided by 1217.
22
What is the remainder when 405 is divided by (-25690)/(-196) - 9/126?
12
Let h(n) = -n**3 + 8*n**2 - 2*n + 4. Let k be h(6). Suppose 3*x - 5*w = 5*x - k, 4*x = -4*w + 152. Calculate the remainder when 75 is divided by x.
33
Let z(s) = -s**2 - 13*s - 11. Let t be z(-9). Calculate the remainder when 294/9 - 2/3 is divided by -15 + t - 2/(-1).
8
Let w(q) = -8*q - 2. Let f(p) = -p + 4. Let z(m) = -15*f(m) + 3*w(m). Calculate the remainder when 17 is divided by z(-8).
5
Let q = 33217 - 33192. Suppose 0 = 5*i - i - 596. What is the remainder when i is divided by q?
24
Let r = 117 - 87. Let u = 430 - 284. What is the remainder when u is divi