at is the remainder when (-3)/((-60)/116)*(-300)/(-60) is divided by 10?
9
Suppose -15*w = -20*w + 5. What is the remainder when 4*(-2 + (3 - -1)) is divided by w/3 + (-140)/(-30)?
3
Let n be 5 - ((19 - 1) + 0). Let a = 31 + n. What is the remainder when 31 is divided by a?
13
Calculate the remainder when (3 - 936/40)*150/(-20) is divided by 59.
35
Let h(w) = -w**3 + 20*w**2 + 32*w - 152. Calculate the remainder when h(20) is divided by 33.
26
What is the remainder when 1390190/3538 + 2/29 is divided by 74?
23
Suppose -1338 = -3*a + 3*m, 5*m = -2*a + 1292 - 379. Let l = 450 - a. Let g(i) = -i**2 - 6*i + 6. What is the remainder when g(-6) is divided by l?
0
Suppose 2*p + 5*h - 829 = 0, 0 = -p - 0*p + 3*h + 398. Calculate the remainder when p is divided by 133.
8
Let x(b) = -b**2 - 7*b - 2. Let f = -223 - -219. Calculate the remainder when 14 is divided by x(f).
4
Let m = 784 - 785. What is the remainder when (1 - 5) + (-301)/(-1) + m is divided by 50?
46
Let v be 0*((-6)/(-30))/((-4)/10). Let x(t) = -t**3 + 227. Let k be x(v). Suppose 4*z - k - 41 = 0. Calculate the remainder when z is divided by 18.
13
Let c(h) = 10*h - 17. Let k(m) = 19*m - 33. Let o(s) = -7*c(s) + 4*k(s). Let y be o(-11). Let t = -37 - y. Calculate the remainder when t is divided by 16.
10
Let d(t) = 4*t - 138. Let s be d(35). Suppose 4*g - 2*v + 6*v = 336, 3*g - 272 = s*v. Calculate the remainder when g is divided by 20.
8
Let a(q) = 8*q. What is the remainder when (-1)/(-4)*15*141112/5690 is divided by a(5)?
13
Suppose -5*w - 16 = -13*w. Suppose f - 3*f = o - 165, 3*o = w*f + 455. Calculate the remainder when o is divided by 21 + -18 - (1 - 37).
38
Suppose 1789 = 180*h - 1811. What is the remainder when 5617 is divided by h?
17
Suppose 2*r = -3*t + 513, 3346*t - 3347*t = 3*r - 773. What is the remainder when 264 is divided by r?
6
Let v be 3679/4 + (-15)/(-60). Suppose 2*z + v = 7*z. What is the remainder when z is divided by 31?
29
Let q(w) = w + 44. Suppose 2*f = f. Suppose 2*v = 2*x + 8, 0 = 4*v - 2*x + 77 - 119. Calculate the remainder when q(f) is divided by v.
10
Suppose v + k - 47 = 0, 219 = 5*v - 0*v - 3*k. Suppose -17*w + 1139 = 70 - 4235. Calculate the remainder when w is divided by v.
42
Let v be 15/(2/(32/(-6))). Let l = -28 - v. What is the remainder when (4 - -25) + 4 - -14 is divided by l?
11
Suppose 3*d - 4*p = 2534, -3*d - p - 4*p = -2516. Let t(k) = 4*k**2 - 25*k + 38. Calculate the remainder when d is divided by t(5).
10
Let r = 106 - 74. Let m = r - 38. What is the remainder when 44 is divided by (-286)/(-11) - m/(-2)?
21
Let b be 45/20 - 9/4. Suppose b = -43*n + 46*n - 126. What is the remainder when 74 is divided by n?
32
Suppose 37*l - 15*l = 374. Suppose 0 = s - 5 - 16. What is the remainder when s is divided by l?
4
Let p(y) = 111*y**3 + y**2 - 2*y + 2. Let f be p(1). Let q = f - 95. Let c(o) = -o**2 + 21*o - 1. What is the remainder when c(q) is divided by 14?
11
Let f = 126 - 125. Let k be ((-13)/26)/((-322)/(-324) - f). Let d = -37 + k. What is the remainder when d is divided by 15?
14
Suppose -3*h - 4*u = -636, -4*h - 3*u + 910 = -8*u. Calculate the remainder when h is divided by 48.
28
Suppose 2*u - 163 = o, -o + 3*u + 2*u = 166. Let k = o + 175. What is the remainder when 89 is divided by k?
5
Let s = -56 - -85. Suppose 107 = 8*o - s. What is the remainder when 118 is divided by o?
16
Let w be 230/23 - (1 + 1)/2. Suppose x = -j + w + 29, -129 = -3*x + 2*j. Calculate the remainder when 146 is divided by x.
23
Let x be 4 - -142*(-27)/(-18). Suppose -6*y + x = 5*j - 5*y, j = y + 47. Calculate the remainder when 154 is divided by j.
22
Let h(f) = -2*f + 24. Let t be h(11). Let x be t/10 + (-439)/(-5). Suppose -5*r - 3*s + x = 0, -2*s = 2*s + 16. What is the remainder when 157 is divided by r?
17
Suppose 0 = 5*t + 2*v - 14, 14 = 2*t + 2*t + 3*v. Suppose -5*s - 1 + 9 = y, 0 = -4*s - 3*y + t. Let k = s + 16. What is the remainder when k is divided by 6?
0
Suppose 4*z - 4*d = 11 + 11 + 26, 2*d = 0. Let u = -6 - -161. Calculate the remainder when u is divided by z.
11
Let o be 2 + -3 + -15*(-210)/9. Let t = o - 308. Calculate the remainder when 74 is divided by t.
33
Let g(m) = -9*m - 15. Let z be g(-2). Suppose -6*j + 27 = -z*j. Calculate the remainder when 61 is divided by j.
7
Let x be 2 - (4395/10 + -2)*-4. Suppose 4*m - x = -0*m. What is the remainder when m is divided by 49?
46
Suppose -38*t = -43*t + 2990. Suppose 10*g = -13*g + t. Calculate the remainder when 71 is divided by g.
19
Suppose 5*p + 4*s = 20, 3*s + 2*s = -p + 25. Suppose -5*b - 2*h + 94 = p, 5*b + 2*h = 6*h + 82. What is the remainder when 43 is divided by b?
7
Suppose -1824*i + 1823*i - 34 = 0. Let v = -22 - i. Calculate the remainder when 213 is divided by v.
9
Let v = 93 - 19. Let j = -45 + 140. Suppose -33*x = -532 - j. Calculate the remainder when v is divided by x.
17
Suppose 7*a + q = 88, 13*q = 3*a + 10*q - 48. What is the remainder when 108 is divided by a?
4
What is the remainder when 3810 - ((-73)/(-73))/(2/2) is divided by 98?
85
Suppose 13 = 2*f - 17. Suppose -3*u - 153 = -8*u + 2*i, -2*u = -i - 62. Suppose -u*l + 40 = -24*l. Calculate the remainder when f is divided by l.
7
Let c(f) = -8*f + 98. Let x be c(11). Calculate the remainder when (x/(-15))/((-5)/((-3090)/(-4))) is divided by 13.
12
Suppose 266*g + 5955 = 281*g. Suppose -78 = -5*m + 207. Calculate the remainder when g is divided by m.
55
Let f(g) = -34*g - 178. Let p = -589 - -582. What is the remainder when 153 is divided by f(p)?
33
Let o = 784 + 2742. What is the remainder when o is divided by 72?
70
Suppose 90 = t + 87. Suppose 0 = -t*h - a + 256, 6 = -4*h + a + 338. What is the remainder when h is divided by 23?
15
Suppose -5818*x - 14 = -5819*x. Calculate the remainder when 78 is divided by x.
8
Let z(i) = 3*i + 17. Let w be z(8). Let q be 6/4*-2*w/(-3). Suppose -q = 6*p - 347. Calculate the remainder when p is divided by 13.
12
Let p(z) = 78*z + 730. Calculate the remainder when 2152 is divided by p(-9).
24
Let t(u) = 5*u**3 - 40*u**2 - 118*u + 972. Suppose 5*h = 4*a - 93, 0*a + 3*a - 4*h = 71. Calculate the remainder when t(8) is divided by a.
11
Suppose 0 = -3*p + 37 + 23. Suppose -7*x + 289 - 121 = 0. What is the remainder when x is divided by p?
4
Let y be (-2 - (-59 - 1))*(39 + 13). Suppose 17*f = 4*f + y. What is the remainder when f/(-10)*(1/(-2) - 2) is divided by 15?
13
Let m = 27546 - 27541. Calculate the remainder when 475 is divided by m.
0
Let n(z) = 188*z + 966. What is the remainder when 355 is divided by n(-5)?
17
Let a(z) = -z**2 + 5*z + 152. Let m be (-3 - -3)/(-2 + 0). Let w be a(m). Suppose 15*u + w - 527 = 0. What is the remainder when u is divided by 13?
12
Let r(y) = -9*y - 46. Let c = -142 - -146. Suppose 2*k + 0*k + 52 = 4*d, c*d = -4*k - 44. Calculate the remainder when r(k) is divided by 15.
8
Suppose 212 = 2*a + 4*f, 4*a + 4*f - 200 = 240. Suppose 3*x - 17*p = -15*p + a, -2*p = -4*x + 154. What is the remainder when x is divided by 9?
4
Suppose -3*x + q - 505 = 205, -5*x - 1188 = 3*q. Let v = x + 396. Calculate the remainder when v is divided by 55.
49
Suppose 4*z + 2 - 10 = 0. Let j be (z + (-556)/8)*-2. Suppose -3*g = 5*w - 76 - 49, 5*g - j = -5*w. What is the remainder when w is divided by 12?
10
Suppose -s + 672 = t, 0 = -4*s - t - 2*t + 2696. What is the remainder when s is divided by 86?
78
Let k(s) = -49*s + 372. Let a be k(-10). Let t = -762 + a. Calculate the remainder when 297 is divided by t.
97
Suppose -2*w = -2*q - 120 + 26, 118 = 2*w + 4*q. Suppose -w*v + 52*v - 55 = 0. Calculate the remainder when 218 is divided by v.
53
Let h(f) be the second derivative of 7*f**3/6 - 5*f**2/2 - 3*f. Suppose -k - k = 2*j - 4, -5*k = -2*j - 17. What is the remainder when h(2) is divided by k?
0
Let d be (-46)/(-2) + 2 + -14 + 10. Let m be (-1)/(2/12)*455/d. Let i = m + 147. What is the remainder when i is divided by 9?
8
Suppose 84*d = 81*d + 825. What is the remainder when d is divided by 36?
23
Let p = -836 - -934. What is the remainder when 3134 is divided by p?
96
Let u(p) = 5*p**2 + 140*p + 22. Let n(c) = c + 5. Let g be n(0). Suppose 388 = g*f + 68. Calculate the remainder when f is divided by u(-28).
20
Let s be (2/(-3))/((-4)/(-66)). Let d(h) be the first derivat