20022 - 19955. Calculate the remainder when t is divided by p.
7
Suppose -2*j = -4*v + 308, 61 = v + j - 13. Calculate the remainder when v is divided by (-20572)/185*6/(-24) - (-2)/10.
20
Suppose 7*z + 2637 = 397. Let c = -298 - z. Calculate the remainder when c is divided by 4.
2
Let r be (-275)/2*16/(-20). Suppose r = 3*m - 190. What is the remainder when m is divided by 6?
4
What is the remainder when 307 is divided by (-3*(-3)/(-18))/(-4 + (-1715)/(-430))?
6
Let q(i) = -2*i + 51. Let a(u) = -28*u - 24. Let h be a(-1). Calculate the remainder when 134 is divided by q(h).
5
Suppose 436*i + 450*i - 3120 = 860*i. What is the remainder when 2514 is divided by i?
114
Let h = -7 + 3. Suppose -3*k = -52 - 14. Calculate the remainder when (h - (-475)/10)*2 is divided by k.
21
Suppose 4*r + 702 = 2*x, -x - 91*r + 366 = -88*r. Calculate the remainder when 397 is divided by x.
40
Suppose 4*o - 2*w + 166 - 856 = 0, 3*o - 2*w - 516 = 0. What is the remainder when 1905 is divided by o?
165
Let g(j) = 8*j**2 - 1. Let h be g(1). Let s(d) be the first derivative of -d**3/3 + 4*d**2 + 19. What is the remainder when 41 is divided by s(h)?
6
Suppose 160 = u - 59*q + 37*q, -5*q = -2*u + 398. Calculate the remainder when 350 is divided by u.
146
Let u = 111 - 210. Let n = u - -121. What is the remainder when n is divided by ((-9)/(-5) - 1)*10?
6
Let k(n) = 3*n**2 + 8*n + 5. Let y be k(-3). Suppose -y*i = -132 - 28. What is the remainder when i is divided by 13?
7
Let t = 1790 - 1651. What is the remainder when 521 is divided by t?
104
Let h(z) = 229*z + 2108. Calculate the remainder when h(-9) is divided by 45.
2
Suppose -4*o + d + 101 = -0*o, -2*d + 6 = 0. Suppose -133*i - 1815 = -254*i. What is the remainder when o is divided by i?
11
Let w = 2047 + -1335. Calculate the remainder when w is divided by 143.
140
Let s(p) = -p**3 + 33*p + 17*p**2 + 38*p - 102*p + 28. What is the remainder when s(14) is divided by 93?
89
Suppose -9*b + 32*b + 3956 = 0. What is the remainder when 85 is divided by (-8)/(-2)*(-1247)/b?
27
Suppose 0 = -2*z + 8, 2*u - 2*z - 706 = -u. Suppose u = 6*x - 344. Let v(g) = 2*g**2 + 9*g + 2. What is the remainder when x is divided by v(-6)?
17
Let b(a) = -a**3 + 33*a**2 + 493*a + 153. Calculate the remainder when 1141 is divided by b(44).
43
Let d(y) = 2*y**2 - 44*y - 95. Let c be d(25). Suppose 0*f + 2*f - 256 = 5*n, 2*n + 91 = -3*f. Let r = c + n. What is the remainder when 13 is divided by r?
3
Suppose -4*a + 124 = -20. Calculate the remainder when ((-45)/(-20))/((-33)/(-1144)) is divided by a.
6
Suppose -3*y - 2*f = -145 - 77, 5*y = -6*f + 362. What is the remainder when 880 is divided by y?
44
Suppose 6*b + 4*b - 19*b = -21528. Calculate the remainder when b is divided by 22.
16
Let w = -1703 - -1804. What is the remainder when w is divided by 27?
20
Calculate the remainder when 994 is divided by (-3 - 11)*(-4 + 22/(-7)).
94
Let v be (2/4)/((-10)/(-380)). Suppose -t - 2*g + v = -0*t, -t = -5*g - 40. Suppose -2*s + 39 = 23. Calculate the remainder when t is divided by s.
1
Let f be (-42)/10*(-700)/20. Suppose 317 + f = 8*z. Suppose -2*d = -3*m - 7 - z, -3*m + 121 = 4*d. What is the remainder when d is divided by 2?
1
Suppose 12*j - 30 = 14*j. What is the remainder when (-2 - j)*(-7)/21*-9 is divided by 24?
15
Let k = 32 - 17. Let f = 12237 + -11998. What is the remainder when f is divided by k?
14
What is the remainder when 133/(10 - 17) - -4652 is divided by 108?
97
Let x = 34 + -32. Suppose 0 = 4*b - x*k - 134, 6*k = -2*b + 4*k + 82. What is the remainder when 394 is divided by b?
34
What is the remainder when 257 is divided by -1434*(-11)/(-198)*-3?
18
Suppose 3*y + t = -2 + 12, 10 = -3*y - 5*t. Suppose -5*l = 3*c + y - 70, -2*l + 57 = -5*c. What is the remainder when 61 is divided by l?
13
Suppose -3339*s + 12096 = -3227*s. What is the remainder when s is divided by (0 - -1)/(1/56)?
52
Suppose -4*l + 8*l = 3*x + 521, 2*l - 258 = 4*x. What is the remainder when l is divided by 127?
4
Let l(s) = 147*s**2 + 2*s + 1. Let u(m) = 6*m**2 + 90*m - 583. Calculate the remainder when l(-1) is divided by u(5).
10
Calculate the remainder when (295/(-236))/((-4)/144) is divided by 12.
9
Let j(q) = -q**2 + 6*q + 2. Let t be j(6). Let w be (-355)/(-10) + t/4. Suppose -146 = -2*y - w. What is the remainder when y is divided by 14?
13
Suppose 2*j - 12 = -2*j + 4*n, 0 = -2*n + 2. Let g = j + 94. Let x = 200 - g. What is the remainder when x is divided by 26?
24
Let f = 5061 - 5008. What is the remainder when 383 is divided by f?
12
Let l be (4280/60)/((2/3)/1). Suppose 5*m = l + 8. Suppose -57 - m = -5*o. Calculate the remainder when o is divided by 8.
0
Let l = -34294 + 34313. Suppose -3*k - j = -23, -k + 1 = 3*j - 4. What is the remainder when l is divided by k?
3
Suppose -3422 - 3102 = -28*d. What is the remainder when d is divided by (-2 - -1)/(((-6)/(-2))/(-141))?
45
Suppose 5*x - 7 = 78. Let j = -309 + 220. Let a = -79 - j. What is the remainder when x is divided by a?
7
Let i(x) = -7*x + x**3 - 1 - 5*x**2 + 3*x**2 - 4*x + 22 + 0. What is the remainder when i(4) is divided by 6?
3
Let m = 13 - 11. Suppose 3*t + 4*v = 3*v + 53, -3*t + 47 = -m*v. Let l(b) = 903*b - 4466. What is the remainder when l(5) is divided by t?
15
Suppose -7*r + 2*r - 105 = m, -3*r - m = 61. Let h(x) = -x + 33. What is the remainder when 439 is divided by h(r)?
54
Suppose -2*n - 2356 = -2*r - 826, -1518 = -2*r - n. Calculate the remainder when r is divided by 59.
53
Calculate the remainder when (45/180)/((-6)/(-12912)) is divided by 31.
11
Let d(g) = 51*g**2 - 5*g + 5. Suppose -4*l = 5*y - 5, l + 5 = 2*y + 3*y. Calculate the remainder when d(y) is divided by 18.
15
Let v(k) = 5*k**2 + 6*k + 3. Let d(x) = 10*x**2 + 11*x + 6. Let p(g) = -2*d(g) + 5*v(g). Calculate the remainder when 10 is divided by p(-2).
3
Suppose -312*m + 317*m - 34922 = -3*g, g - 4 = 0. What is the remainder when m is divided by 4?
2
Let j = -2462 - -2502. Let u = 6 - 2. What is the remainder when j is divided by u?
0
Let j(f) = 39*f**2 + f + 1. Let w be j(2). Suppose -15*b = -474 - 6. What is the remainder when w/1 - (2 - 1) is divided by b?
30
Let n(w) = 137*w**2 + 138*w**2 + 4 - 2*w - 273*w**2. What is the remainder when 166 is divided by n(-3)?
26
Let d(i) = -3*i**3 - 3*i**2 + 6*i + 2. Suppose 10 - 31 = 7*a. What is the remainder when d(a) is divided by 15?
8
Let b be 0/(2 - -1)*5/(-10). Let m(l) = l**3 + 3*l + 99. Calculate the remainder when m(b) is divided by 35.
29
Let f(k) = 7*k - 13. Let r = 0 - -1. Suppose -3*c + 35 = -r. Calculate the remainder when f(c) is divided by 18.
17
Let c(z) = z - 14. Let s = 25 + -48. Let o = -13 - s. What is the remainder when c(43) is divided by o?
9
Suppose 3*b - 68 = -5*j, 3*b + 4*j - 27 = 40. Suppose -102 + 1062 = 5*d + 4*g, 4*d - 777 = -5*g. Calculate the remainder when d is divided by b.
20
Suppose 5*f - 4*f + 3*s = 219, -5*f + 3*s + 1131 = 0. Suppose 72*b = 69*b + f. Suppose -2*i + 195 = 3*i. What is the remainder when b is divided by i?
36
Let w(k) = 40*k + 176. Let o be w(32). Let d = 2595 - o. What is the remainder when d is divided by 95?
94
Suppose 0 = -r + v - 797, -17*v + 19*v = -3*r - 2416. Let i = r + 806. Calculate the remainder when i is divided by 2.
0
Let n(g) = -g**3 + 4*g**2 - 2*g - 2. Let t = -71973 - -71994. Calculate the remainder when t is divided by n(2).
1
Suppose -2*u - 2 = 2*f, -5*f + 5*u = -13 - 2. Suppose -36*m + 133 = -623. Calculate the remainder when m is divided by f.
0
Suppose 122*m + 2*o - 1596 = 118*m, 2*o + 404 = m. What is the remainder when 135 is divided by (18/(-16))/((-75)/m)?
3
Let k = -3976 - -4178. What is the remainder when k is divided by 72?
58
Let s be (16/(-12))/((-8)/(-12)). Suppose -6*q + 151 + 155 = 0. What is the remainder when (-399)/s - 18/36 is divided by q?
46
Let b(q) = -430*q**3 - q**2 - q. Let x(c) = -42*c + 222. What is the remainder when b(-1) is divided by x(4)?
52
Suppose -4*a + 92 - 28 = 0. What is the remainder when 8/(-40) + 1638/15 is divided by a?
13
Suppose 0 = -a, a - 41 = 2*v - 47. Suppose -2*u - 44 = -6*s + 3*s, 4*s = -3*u + 36. What is the remainder when s is divided by v?
0
Suppose k + 3657 = 3659, 72 = 4*q + 4*k. Calculate the remainder when 685 is divided by q.
13
Let z(y) = 3*y - 1