at is the remainder when 3773 is divided by o?
14
Suppose -5*u - 7*t + 10*t + 805 = 0, -8*t + 368 = 2*u. What is the remainder when u is divided by 44?
32
Let x(g) = -2*g**3 - 2*g**2 + 5*g - 1. Let m = -2 - -25. Suppose u = 31 + m. Calculate the remainder when u is divided by x(-3).
14
Suppose 4*m + 5*m - 8 = 19. Calculate the remainder when 43 is divided by m.
1
Suppose -4*t + 20 = 0, 272 = h + 3*t + 104. Calculate the remainder when 168 is divided by h.
15
Suppose g + 2*s = 23, -s + 55 = 10*g - 8*g. What is the remainder when 76 is divided by g?
18
Suppose -s = p - 29, s + 2*p = 5*s - 104. Let t(q) = -3*q**3 - 9*q**2 - 8*q - 8. Suppose -4 = 23*c + 65. Calculate the remainder when s is divided by t(c).
11
Let q(v) = -v**3 - 12*v**2 - 4*v + 18. Let n be q(-11). Let w = -38 - n. What is the remainder when 49 is divided by w?
7
Let i = 1417 + -847. Let q = -516 + i. Calculate the remainder when 589 is divided by q.
49
Let w(y) = -y**3 + 31*y**2 + 24*y + 222. Calculate the remainder when w(28) is divided by 14.
12
Let x = -28 + 21. Calculate the remainder when 29 is divided by ((-15)/(-2))/(x/(-14)).
14
Let c = -5916 + 6002. Let a be 1*(-2)/(-2) + -47. Let p = c + a. Calculate the remainder when p is divided by 14.
12
Suppose -83*p + 74*p - 18 = 0. Let w(k) = -72*k - 73. Calculate the remainder when w(p) is divided by 27.
17
Let o(g) = -g. Let f be -9 + 56/8 - -172*1. Let x = f + -127. What is the remainder when x is divided by o(-12)?
7
What is the remainder when (14 - (-459)/(-34))/((-3)/(-5574)) is divided by 300?
29
Suppose 8*j = 6*j + 874. Let y = -349 - j. Calculate the remainder when 2/((-36)/y) + (-1)/(-3) is divided by 9.
8
Calculate the remainder when 491 is divided by -11 + 12 + (-4 - -57).
5
Suppose 3*x = y - 62, 0 = 3*y - 0*x + 3*x - 174. Calculate the remainder when 8/(-48)*2*(-7032)/8 is divided by y.
57
Suppose 0 = 4*d - 3*u - 57 - 329, 107 = d + u. What is the remainder when d is divided by 5?
1
Let d(n) be the third derivative of n**6/120 + n**5/15 - 13*n**4/24 - n**3/6 + 36*n**2. Let c = 1 - -13. What is the remainder when d(-5) is divided by c?
11
Suppose k + 2 = -2*s + 19, -3*k = s - 1. What is the remainder when 180/7 - (-7 + 611/91) is divided by 2 + (-6 - -3) + s?
8
Suppose b = -4*a - 14, 0 = 4*b + a + 20 - 9. Let d = 6 + b. Suppose 3*n - d*x + 0*x - 99 = 0, -139 = -5*n - 2*x. What is the remainder when 56 is divided by n?
27
Let j(x) = -x + 4. Let g be j(2). Suppose m - 5*v + 2 + 5 = 0, g*m - v - 13 = 0. Calculate the remainder when ((-18)/8)/(6/(-80)) is divided by m.
6
Calculate the remainder when (-9)/(10 - 1) + -2 + 660/3 is divided by 29.
14
Suppose 5*j = -4*q + 239, -48*q + 50*q - 2*j - 142 = 0. What is the remainder when 654 is divided by q?
60
Let p = 44 + -65. Let j be (p/7)/((-3)/4). Suppose t - 3*i - 5 = 0, j*t - 28 = 4*i - 0. Calculate the remainder when 85 is divided by t.
5
Let d(w) be the second derivative of w**4/12 + w**3/2 + 3*w**2 - 9*w. Calculate the remainder when 17 is divided by d(0).
5
Suppose -92 - 3498 = -98*o + 1212. Calculate the remainder when 2254 is divided by o.
0
Suppose 360 = 3*n - 6*i, -n + 0*i - 2*i = -108. Let h be (-166)/(-3 - (1 + -6)). Let f = n + h. Calculate the remainder when 60 is divided by f.
29
Suppose 27*b + 430 = -16*b. Let d(f) = 3*f**2 + 23*f - 25. What is the remainder when d(b) is divided by 23?
22
Let f(k) = k**2 - 15*k + 58. Let s be f(9). Suppose -46 = -6*w - s. Calculate the remainder when 61 is divided by w.
5
What is the remainder when 701 is divided by 141*((-3 - 5) + 9)?
137
Let h = -4647 + 9321. Calculate the remainder when h is divided by 104.
98
Let s(c) = 3*c**2 - 2*c - 10. Let p be s(-2). Let a = -3 - -4. Calculate the remainder when p/(-8) - ((-351)/12)/3 is divided by a.
0
What is the remainder when 3/(24/(-976))*276/(-8) is divided by 27?
24
Suppose 2*q = 4*d - 1879 + 1827, -3*d - q + 39 = 0. Calculate the remainder when 2 + (1 - 11*-4) is divided by d.
8
Suppose 3*o - 1094 = 26*j - 15*j, -o + 4*j + 367 = 0. Calculate the remainder when o is divided by 112.
3
Let v be 5/(-4) - 170/(-8). Suppose -165*w - v = -160*w. Let n = 26 + w. Calculate the remainder when 59 is divided by n.
15
Calculate the remainder when 323 is divided by (9 + -126 + 4)/(0 + (-1 - 0)).
97
Let w = 15 - 3. Let b(f) = -57*f - 827. Calculate the remainder when b(-17) is divided by w.
10
Suppose -5*w = -3*n - 562, 5*w + 2*n + 139 = 706. Suppose 14*g = w - 15. Calculate the remainder when 76 is divided by g.
6
Let w be 2 + -3 + 45 + -9. Suppose 6*f = f + w. Calculate the remainder when 173 is divided by (5 - f)*-2 + (16 - -2).
19
Let m(d) = -638*d + 2620. Calculate the remainder when 791 is divided by m(4).
43
Suppose b + 5*v - 187 - 146 = 0, v = b - 315. Calculate the remainder when b is divided by 11.
10
Let j = 223 + -159. Let s(p) = -p**2 + 6*p - 7. Let c be s(-8). Let y = -106 - c. Calculate the remainder when j is divided by y.
12
Let g = 108 + -99. Suppose -k + 2*k = w - g, -45 = -3*w - 3*k. What is the remainder when 2/(-6) + (-344)/(-6) is divided by w?
9
Let h(c) = c**2 - 52*c - 380. What is the remainder when 155 is divided by h(59)?
23
Let q be ((-198)/(-165))/((-6)/(-5) + -1). Calculate the remainder when (12/(-16))/(q/(-552)) is divided by 19.
12
Let m(o) = -o + 15 - 13 - 40 - 2*o. What is the remainder when 21 is divided by m(-15)?
0
Suppose -5*l = 3*z + 890, -115 = l - 3*z + 63. Let t = l + 403. Calculate the remainder when t is divided by 6.
3
Suppose r - 117 = -4*j, -127 = -4*j - 3*r - 0*r. Suppose 0 = -4*g - 2*s + 80 - j, s + 16 = g. Let x = 1 - -39. Calculate the remainder when x is divided by g.
12
Let b = 8090 + -8077. Suppose -12 = 6*n - 2*n. What is the remainder when 91 is divided by (b*(-1 - n))/1?
13
Suppose 16*j = 6*j + 9460. Suppose 18*m + j = 29*m. What is the remainder when m is divided by 6?
2
Let x(c) = 350*c + 2. Let d be x(-1). Suppose -13*p = -10*p + 9. What is the remainder when 59 is divided by 1/2 + (d/8)/p?
14
Let b be (0 - -3*2)*14/4. Suppose 3*f - b*a - 2900 = -20*a, 0 = f - a - 964. Calculate the remainder when f is divided by 97.
95
Suppose -5*o + 4*h = 8*h - 962, -8*h - 494 = -3*o. Calculate the remainder when 1603 is divided by o.
115
Let f = 40890 + -40095. What is the remainder when f is divided by 61?
2
Let t(k) = 2*k**3 - 107*k**2 - 62*k + 560. Suppose 3*j + 3*y = 56 + 19, j - y - 19 = 0. What is the remainder when t(54) is divided by j?
18
Suppose 0 = -7*y - 16 + 44. Suppose y*k - 3*f = -f + 202, 102 = 2*k - 2*f. Suppose -5*x + 33 = -32. What is the remainder when k is divided by x?
11
Let f(z) = 2*z**3 - z**2 - 7*z + 8. Suppose -2*b = -6*b. Suppose 4*k - 5*x = 0, b*x - 16 = -4*x. What is the remainder when f(3) is divided by k?
2
Suppose 2*j - 44 = -4*o, -4*j = 557*o - 562*o - 127. Calculate the remainder when j is divided by 11.
6
Let m be ((-3)/(-15) + 40/(-75))*0. Suppose 14*x + 612 - 2166 = m. Let c(a) = -a**3 - 6*a**2 + 3*a - 9. Calculate the remainder when x is divided by c(-7).
16
Let l(d) = -d**2 - 19*d - 42. Suppose -3*f + 0*o - 4 = -2*o, 0 = 2*f + 5*o - 10. Calculate the remainder when l(-4) is divided by (-1 - f) + 2 - -3.
2
Let a(y) = -y**2 + 43*y + 567. Calculate the remainder when 321 is divided by a(51).
3
Suppose 0 = -8*z + 197 + 67. Suppose 193*t = 197*t - 36. What is the remainder when z is divided by t?
6
Suppose 142*y - 60 = 141*y. What is the remainder when 66 is divided by 1362/y - (-9)/30?
20
Let g(q) = -q**3 - 13*q**2 - 41*q - 265. Calculate the remainder when 349 is divided by g(-12).
17
Let p(i) = -471*i - 451. Let j be p(-25). Suppose 35*f = 16*f + j. What is the remainder when f is divided by 46?
44
Suppose -l = -5*b - 139 + 22, -3*b = 6*l - 603. What is the remainder when 520 is divided by l?
10
Suppose 23*q - 37*q + 4047 = -9169. What is the remainder when q is divided by 30?
14
Calculate the remainder when 2480 is divided by ((156/15)/((-8)/20))/(-2).
10
What is the remainder when 1095/(-2)*((-1023)/155 + (-2)/(-10)) is divided by 130?
124
Suppose -s + 5*q + 1357 = 0, -3*s - 5*q = -3122 - 969. What is the remainder when s is divided by 76?
70
Let b be ((-21)/84)/(2/(-536)). Suppose -i = 2*y - 3, 6*y - 9*y = -4*i + b. What is the remainder when 60 is divided by i?
8
Suppose -114*f + 192 = -110*f - p, 0