 5061. Calculate the remainder when m is divided by 42.
7
Let d = -579 + 523. Calculate the remainder when 46 is divided by 26 - (d/8 - 0).
13
Suppose 0 = 5*v + 8*v - 1443. Suppose -5*p = -4*m - 316, 16 = 2*p - m - v. Calculate the remainder when p is divided by 5.
4
Suppose -571 = 27*r + 347. Let h(t) = t**2 + 26*t - 73. Calculate the remainder when h(r) is divided by 52.
43
Suppose -2*u - 5130 = -20*u. Suppose 0 = 5*c - 8*c + u. Let b = c + -86. Calculate the remainder when 60 is divided by b.
6
Suppose 16 = 23*z - 76. Suppose z*d = -12, 0 = -v + 2*d + 142 + 157. What is the remainder when v is divided by 21?
20
Suppose -8*o = 21*o + 145. Let c(s) = s**2 + 2*s + 6. Let n be c(-6). What is the remainder when 24 is divided by (7*2/o)/((-6)/n)?
10
Calculate the remainder when 22 + 492 + (-3)/(-3) is divided by 65.
60
Let y(c) be the first derivative of c**4/4 + 14*c**3/3 + c**2 - 34*c - 40. Calculate the remainder when y(-8) is divided by 42.
40
Let f(i) = 2*i + 5. Let q be f(-4). Let a be 0 + (-95)/(-15) + 1/q. Suppose 5*t - a = -z, z - 3*t + t = 6. Calculate the remainder when z is divided by 2.
0
Let f be 508/14 + (-90)/315. Calculate the remainder when 28 is divided by (-12)/f - 43/(-3).
0
What is the remainder when 2222 is divided by (2101/(-22) - -26)/((-1)/2)?
137
Let i = 2401 - 2047. Calculate the remainder when i is divided by 144.
66
Let r be (-416)/(-234) + 4/18. What is the remainder when 6/r*(-15)/(-9) + 21 is divided by 9?
8
Let a = -1334 + 1524. Calculate the remainder when a is divided by 51.
37
Let z(d) = 8*d**3 + d**2 - 8*d + 7. Calculate the remainder when 718 is divided by z(1).
6
Calculate the remainder when (24/20)/((-46)/(-14375)) is divided by 137.
101
Suppose y = -3*s - y + 772, 2 = -2*y. Suppose 0 = -k + 3*q + 29, 0 = -5*k + 5*q + s - 63. Let o = 5 + k. What is the remainder when o is divided by 27?
22
Suppose 5*s - 6*s = -2. Let j(c) = -c**3 + 5*c - 22*c**2 - 6 + 8*c**2 + 19*c**s. What is the remainder when 54 is divided by j(5)?
16
Let n = 6767 - 6441. What is the remainder when n is divided by 65?
1
Suppose -4*g + 6*g = 166. Let c be (-2)/((-3)/(18/4)). Suppose 4*z + g = 5*o + 6*z, -4*o + c*z + 48 = 0. What is the remainder when o is divided by 6?
3
Suppose 110*a - 3*a - 5396 = 1773. Calculate the remainder when 1312 is divided by a.
39
Let b = -1552 + 1693. Let h(w) = w + 9. Calculate the remainder when b is divided by h(0).
6
Suppose -i + 147 = 2*i. Suppose -r + 5*m + 26 - 1 = 0, -5*m + 35 = 5*r. What is the remainder when i is divided by r?
9
Let y(h) = 1123*h + 39477. Suppose 2*s - 140 = -2*s. What is the remainder when y(-35) is divided by s?
32
Let h(j) = 5*j**3 - 2*j**2 + 63. Calculate the remainder when 697 is divided by h(0).
4
Suppose -3*a - a + 32 = 0. Suppose -4*o = -36 + a. Let n(q) = -165*q + 17515. Calculate the remainder when n(106) is divided by o.
4
Suppose 2061*g = 2043*g + 4860. What is the remainder when g is divided by 43?
12
Suppose -24*m + 27 = -165. Suppose 46 + 90 = m*a. Calculate the remainder when a is divided by 12.
5
Let u = 5 + -1. Suppose 227*p - 8428 = 55*p. What is the remainder when p is divided by u?
1
Suppose 2*t = 4*w + 314, t = 2*w + w + 155. Let b = t - 144. What is the remainder when 53 is divided by b?
2
Let n(g) = g**2 + g + 8 - 3*g - 2 + 9*g. Let w be n(-9). Let a = 64 - w. Calculate the remainder when a is divided by 15.
10
Suppose 4*b = 10*b + 9*b. Suppose b = -4*g + d + 1192, 19*g + 3*d - 1176 = 15*g. What is the remainder when g is divided by 23?
21
Suppose -361*l + 87408 = -325*l. What is the remainder when l is divided by 17?
14
Suppose -4*p + 6*t - 2*t = 572, 3*p = -3*t - 411. Let r = p - -158. Calculate the remainder when 214 is divided by r.
16
What is the remainder when -96 - -115 - -2*919 is divided by 93?
90
Let j(x) = -10*x + 255. Let a be j(23). Suppose -101 = -6*l + a. Calculate the remainder when 543 is divided by l.
18
What is the remainder when (-20)/(-18) + -1 - (40 + (-228462)/351) is divided by 155?
146
Suppose -559 = -s - 4*s + 4*z, -2*z - 2 = 0. What is the remainder when s is divided by 35?
6
Let f = -3067 + 3129. Calculate the remainder when f is divided by 40.
22
Let w = 130 + -81. Let z = w - 13. Calculate the remainder when z is divided by 29.
7
Let l(i) = i**2 + 46*i + 420. Calculate the remainder when 107 is divided by l(-35).
2
Suppose 4*a = -3*p - 88, -4*p - 237 = -2*a - 259. Let d(t) = -2*t + 0*t + 27 - 4. What is the remainder when d(a) is divided by 13?
9
Suppose 11*c - 17*c = 0. Suppose -2 + 4 = -2*k, 4*o + 5*k - 83 = c. Calculate the remainder when 72 is divided by o.
6
Let d = -146 + 217. Suppose -3*g = -d - 40. Calculate the remainder when 214 is divided by g.
29
Suppose -4*v = 3*h - h - 30, 90 = 4*h + 2*v. Suppose 36 = -8*l - 4*l. Let a = 11 - l. Calculate the remainder when h is divided by a.
11
Let u = -151 + 240. What is the remainder when u is divided by 2080/70 + 9/(567/18)?
29
Suppose -2*u = 2*u - 104. Let c be 3 + 0 + 5 + -18. What is the remainder when u is divided by (-96)/c - (-12)/30?
6
Let k = -196 - -314. Suppose 2*d + 25 + 23 = -3*p, 16 = -p - 3*d. Let n = k + p. What is the remainder when n is divided by 26?
24
Suppose 11*h = 34 + 10. Let n be ((-2)/h)/(8/1536). Let u = n + 114. What is the remainder when 56 is divided by u?
2
Suppose -6259 = 13*f - 14514. What is the remainder when f is divided by 9?
5
Let l = -349 + 445. Let g = 117 - l. What is the remainder when 41 is divided by g?
20
Let u(z) = -3*z**2 + 4*z**2 - 8 - 2*z - 8*z + 4*z**2 - 2*z**2. Let l(h) = -h**2 + 6*h. Let n be l(5). Calculate the remainder when u(n) is divided by 6.
5
What is the remainder when (-86)/(4/(-14) - 3/14) is divided by 160?
12
What is the remainder when 144 is divided by (-24)/(-44)*(20 - -90) - (-12)/(-2)?
36
Let b = 1152 - 1779. Let d = b + 772. What is the remainder when d is divided by 44?
13
Suppose -202 - 1013 = -27*x. What is the remainder when 174 is divided by x?
39
Let z(v) = 34*v**2 - 18*v + 36. What is the remainder when 147 is divided by z(2)?
11
Let g = 5432 - 5422. Calculate the remainder when 86 is divided by g.
6
Let o = -5371 + 6163. What is the remainder when o is divided by 142?
82
Suppose -5*o + 4 = -3*o. Suppose 0 = -4*v, 5*v = o*c - 2 - 4. Calculate the remainder when (-2 - (-165)/c)*1 is divided by 29.
24
Suppose 5*h = h - 4*i + 2940, 20*i = 16*i. What is the remainder when h is divided by 93?
84
Let p(i) = i**2 - 2*i - 29. Let s be p(9). Suppose y = -0*y - s. Let n = y + 82. Calculate the remainder when 238 is divided by n.
46
Let g(r) = 2*r**2 - 2*r - 9. Let m = -22 - -9. Let f be g(m). Suppose o + i = -0*i + 65, -f = -5*o + i. Calculate the remainder when o is divided by 24.
22
Let a = 812 + -420. Suppose -a = -4*b - 156. Suppose -15*y = -16 - b. Calculate the remainder when 48 is divided by y.
3
Suppose -2*s - 2 = 4*o, -12 = 12*s - 9*s - 3*o. What is the remainder when 57 is divided by 32/(-48) + s/(36/(-92))?
1
Let i(w) = -11*w**3 - 14*w**2 + w + 1. What is the remainder when i(-3) is divided by 65?
39
Suppose -2*f - 306 = -2*q, -8 = -f - 6. Suppose 34*y + q = 39*y. What is the remainder when y is divided by 8?
7
Suppose 4*n + 16 = r, 4*n = -4*r + r. Suppose r*i = -i + 55. Calculate the remainder when (4520/12)/5 - 23/69 is divided by i.
9
Let a = -364 + 659. Let c = a + -280. Calculate the remainder when 103 is divided by c.
13
Suppose -108*q - 5359 = -193*q + 41816. Calculate the remainder when q is divided by 16.
11
Let q = 263 - 355. Let u = 124 + q. Calculate the remainder when 381 is divided by u.
29
Suppose 2*w - 45 = 3*t, 0*w - 2*t - 25 = -w. Let h(v) = 2*v**3 - 29*v**2 - 12*v - 10. What is the remainder when h(w) is divided by 13?
9
What is the remainder when (-97 - -102) + (-1)/((-2)/524) is divided by 72?
51
Suppose -8*h - 7938 = -29*h. Let y = -326 + h. Let i(q) = -q**3 - q + 27. What is the remainder when y is divided by i(0)?
25
Suppose 2*q = 4*q - 5*m + 1161, 0 = 2*q + m + 1179. Let f = q - -661. Calculate the remainder when 94 is divided by f.
21
Suppose 215*s = 149*s + 5280. Calculate the remainder when 565 is divided by s.
5
Let q(a) = 7*a**2 - 758*a + 1043. Calculate the remainder when 310 is divided by q(107).
70
Let d = -1335 + 1420. Calculate the remainder when 505 is divided by 