= -278*p + g. What is the remainder when p is divided by 11?
4
Suppose -3*b + 5 = -2*t, -3*t - 2*t = -5*b. Suppose c - t*c - 74 = 3*o, 4*c - 3*o = -86. What is the remainder when 1 - c*(0 - -4) is divided by 14?
11
Let z = -645 - -642. Let j(u) = -10*u**3 - 15*u**2 + 4. Let x(y) = 2*y**2 - 2*y + 4. Calculate the remainder when j(z) is divided by x(-3).
27
Suppose -53 = -3*x + 2*n, 44*x - 74 = 40*x + n. Suppose -3*q - 4*l + 0*l = -21, 5*l = 3*q - 21. Let h = 64 + q. Calculate the remainder when h is divided by x.
14
Suppose -27*s + 715 = -14*s. Suppose 0 = -12*o + 24*o - 2556. What is the remainder when o is divided by s?
48
Let n(c) be the second derivative of c**3/6 + 3*c**2 + 11*c. Let t be n(15). Let q = 57 - t. Calculate the remainder when 107 is divided by q.
35
Let n = -1331 + 1464. What is the remainder when 1047 is divided by n?
116
Let o = 2461 - 2437. Calculate the remainder when 361 is divided by o.
1
Suppose 0 = 5*r - 776 + 1. Let t = -143 + r. Calculate the remainder when 106 is divided by t.
10
Suppose 783 = 3*x - 2*q, 5*x = 2*q - 5*q + 1267. Calculate the remainder when 768 is divided by x.
254
Suppose -66 = -79*j - 204 + 2666. Calculate the remainder when 188 is divided by j.
28
Suppose -1002 = 7*d - 5272. Let p = d - 358. What is the remainder when p is divided by 51?
48
Suppose k - 8545 = -3*b, 14265 = 5*b + 16*k - 11*k. Calculate the remainder when b is divided by 23.
17
Let r(q) = -q**2 - 10*q + 51. What is the remainder when r(-10) is divided by 29?
22
Let d(l) = 2*l**2 + 91*l - 775. What is the remainder when d(-64) is divided by 17?
12
Let h(z) = 25*z - 624. What is the remainder when 39 is divided by h(26)?
13
Let f(s) = 2*s**2 + 250*s + 5031. Calculate the remainder when f(-20) is divided by 104.
103
Let o = -7584 + 7674. What is the remainder when o is divided by 20?
10
Suppose 5*q + 3865 + 1024 = 4*a, -7365 = -6*a - 3*q. What is the remainder when a is divided by 28?
22
Suppose 938 + 329 = v - 4*s, -2*v + 2522 = -2*s. Calculate the remainder when v is divided by 97.
95
Suppose -7242 = -6*u - 136*u. Calculate the remainder when 644 is divided by u.
32
Suppose -o - 4*o + 65 = 0. Suppose 4*y + 5*u + 65 = 8*y, -43 = -2*y - u. What is the remainder when y is divided by o?
7
Suppose -1212 + 413 = -o. Calculate the remainder when o is divided by 312.
175
Suppose -293*q + 4732 = -7919 - 6687. What is the remainder when 989 is divided by q?
65
Let h = -1312069 + 1312090. Let s be (0 + 1)/(-2)*8. Let q(b) = -2*b + 1. Calculate the remainder when h is divided by q(s).
3
Let o(h) = h + 24. Let x be o(-4). Suppose -2*g = -4*l + 1506, 3*g - 7*g - x = 0. Calculate the remainder when l is divided by 54.
50
Let a(r) = -109*r**3 - 1487*r - 1488. Let q = 73 + -42. Calculate the remainder when a(-1) is divided by q.
15
Let y(p) = -p**3 + 28*p**2 + 226*p - 48. What is the remainder when y(34) is divided by 384?
316
Calculate the remainder when 176 is divided by (-23 + -97)*3/(-4).
86
Let l = 98 + -95. Suppose l*o - 71 = 19. Let g(f) = f**2 + 9*f + 8. What is the remainder when o is divided by g(-9)?
6
Suppose -4*c = -2*z + 108, 0 = 2*z + z + 4*c - 132. Let a = 63425 - 63404. Calculate the remainder when z is divided by a.
6
Let c = 662 - 291. Let o = c + 4. Calculate the remainder when o is divided by 14.
11
Let u(s) = -2*s**3 - 38*s**2 - 38*s - 5. Calculate the remainder when 87 is divided by u(-18).
25
Suppose 1006 = 3*q + 4*z, -404 = -q + 2*z - 82. What is the remainder when q is divided by 20?
10
Suppose 2*w = -2*w + w + 87. Calculate the remainder when 325 is divided by w.
6
Suppose 3*b - 2*j = 19, -513*j + 39 = b - 509*j. What is the remainder when (-44)/6*(-6)/2 is divided by b?
0
Let z = 6218 + -5443. Calculate the remainder when z is divided by 24.
7
Suppose -159*l + 163*l + 579 = 3*d, 0 = -l + 3. Suppose -q + 66 = -0. What is the remainder when d is divided by q?
65
Suppose -16187 + 51579 = 56*m + 56*m. Calculate the remainder when 336 is divided by m.
20
Let h(m) = m**2 + 48*m - 265. Let z be h(-53). Let j be (-2)/(-4) + 554/4. Calculate the remainder when (z - j/(-3)) + 4/(-12) is divided by 10.
6
Let v(a) = -27*a - 20. Suppose 5*w - 2 = -4*i, 2*w - 3 = -5*i + 8. Calculate the remainder when ((-5)/(-3))/(1/39) is divided by v(w).
31
Let j(l) = 128*l + 113. What is the remainder when j(13) is divided by 20?
17
Suppose -23*w = 5*j - 6570, 11*w - 7*w = -3*j + 1149. Calculate the remainder when w is divided by 45.
15
Calculate the remainder when (5 + -1)/((-32)/(-15192)*9) is divided by 32.
19
Let o = 224 + -137. Suppose o = 3*z - 120. Let f(x) = -x**3 - 3*x**2 + 7*x - 1. Calculate the remainder when z is divided by f(-5).
13
Let l(d) be the second derivative of d**4/12 - d**3/2 - d**2/2 - 19*d + 2. What is the remainder when 30 is divided by l(4)?
0
Suppose 38*v = -1714 + 9846. Calculate the remainder when 557 is divided by v.
129
Let r = 30 + -27. Suppose 361 = r*l - 278. Let v = l - 29. What is the remainder when v is divided by 37?
36
Suppose -2*z + 24 = z. Suppose -4*d + 39 + 201 = -2*v, 4*d = 5*v + 240. Suppose d = 12*m - z*m. What is the remainder when 131 is divided by m?
11
Let d(y) = 2*y**2 + 372*y + 6938. Let n = 96 + 78. Calculate the remainder when n is divided by d(-165).
6
Let s be (-2)/6*-2 + 1862/(-21). Let u = 186 + s. Calculate the remainder when u is divided by 4/(-6)*225/(-6).
23
Let d(q) = 12*q + 122. Let v be d(-10). Suppose -3*w = -9, 2*h = 2*w + v*w + 58. What is the remainder when 42 is divided by h?
7
Let z = -4028 + 9522. Calculate the remainder when z is divided by 23.
20
Let n = -2409 - -4344. Calculate the remainder when n is divided by 320.
15
Let n be (342/3 - 0) + 3. Suppose 3*p - g = n, 12*p - 70 = 10*p - 2*g. What is the remainder when 66 is divided by p?
28
Suppose 24*f + 1 = 23*f. Let m be -2 + 5 - f*4. Suppose -4*l = -83 + m. Calculate the remainder when l is divided by 8.
3
Let i(x) = 26*x - 11. Suppose 84*o = -358 + 2794. What is the remainder when i(8) is divided by o?
23
Suppose -58 = 3*p - 154. Suppose 10*g - 2*g - p = 0. What is the remainder when 4 is divided by g?
0
Let j(k) = 19*k - 83. Let i be j(13). Let q = 230 - i. Calculate the remainder when q is divided by 39.
27
What is the remainder when ((31400/(-135))/8 - (-46)/621)/((-2)/10) is divided by 0 - -1*22*2?
13
Let m = -9 - -2. Let b = 920 + -911. Let n = b - m. Calculate the remainder when 45 is divided by n.
13
Suppose -20*t = 7 - 67. Suppose l - 79 = -t*f, 2*f - 22 = l + 39. What is the remainder when 80 is divided by f?
24
Suppose -73*j = -5737 + 1121 - 4217. Calculate the remainder when j is divided by 15.
1
Let w = -8 + 18. Let s = -460 - -556. Suppose -4*f = -s + 24. What is the remainder when f is divided by w?
8
Suppose 10*i = -2*b + 1888, 3*b + 944 = 4*b - 3*i. Calculate the remainder when 5673 is divided by b.
9
Let c = 1231 - 1201. Calculate the remainder when c is divided by (-25)/50*((-24)/1 - 0).
6
Let b(y) = y + 43. Let u be b(-28). Suppose u*f = 14*f + 17. Let s = f + 13. Calculate the remainder when s is divided by 11.
8
Let j(r) = -r**2 - 19*r - 116. Let s be j(-7). Let h(u) = 4*u + 132. What is the remainder when h(s) is divided by 3?
1
Let f(r) = -r**3 - 2*r**2 - 6*r - 5. Suppose -5*k - 3*k = 8. Let u be f(k). Suppose u = 9*w - 0*w - 666. Calculate the remainder when w is divided by 19.
17
Let i = -2186 + 2452. What is the remainder when i is divided by 15?
11
Let z be 0*(-1 - (5 - 7)). What is the remainder when 106 is divided by z + (279/63 - (-6)/(-14))?
2
Let x(v) = 16*v - 385. Suppose 0 = -5*h + 2*d + 148, -15*h - 94 = -18*h - 4*d. What is the remainder when x(h) is divided by 50?
45
Let h(z) = 2*z + 1. What is the remainder when ((-13)/(-39) - 1)/(2/(-84)) is divided by h(4)?
1
Suppose 0 = -v + 8, -155*i + 120 = -154*i - v. Calculate the remainder when 149 is divided by i.
21
Let z = 5360 + -4745. Calculate the remainder when z is divided by 240.
135
Let u = -21688 - -21866. Calculate the remainder when 345 is divided by u.
167
Let v be 1 + (-2 + 2 - 1). Suppose v = -p + 2*a + 21, -3*p = -0*a - 2*a - 75. Calculate the remainder when p is divided by 738 - 726 - (2 - 0).
7
Let o be 5 + -1 + -2 + 3. Suppose 155 = 5*r + o*k - 0*k, 5*k - 47 = -2*r. Let l = -1274772 - -1274836. What is the remainder wh