uppose 2*q = 4*y - 17446, 19*y + q = 15*y + 17461. What is the remainder when y is divided by 7?
3
Calculate the remainder when ((-96)/(-5))/(114/1425) is divided by 14.
2
Let j = 196 + -152. Suppose -9*r - j = -11*r. Calculate the remainder when 262 is divided by r.
20
Let x(b) = -b**3 - 14*b**2 + 30*b + 50. Suppose 5*l = 107 + 193. Suppose 0 = -2*t - 3*t + l. What is the remainder when x(-16) is divided by t?
10
Let l(u) = -u**2 - 97*u - 396. Calculate the remainder when 844 is divided by l(-15).
10
Let b(v) = v**2 + 15*v - 12. Let x be b(5). Suppose -10*t + 220 = 5*q - 15*t, -2*q - 3*t = -x. What is the remainder when q is divided by 15?
14
Suppose 2*z = t + 118, 2*z + 35*t - 142 = 39*t. What is the remainder when 1332 is divided by z?
12
Suppose -2*i + 2764 = 38*u - 444, -3*u + i + 244 = 0. Let k = -12 - -43. What is the remainder when u is divided by k?
22
Let f = 432 - 402. Suppose -f = 55*l - 65*l. Let w = -5 - -10. Calculate the remainder when w is divided by l.
2
Suppose -121*k = -127*k - 762. Let t = k + 135. Let b(p) = -8*p + 3. Calculate the remainder when b(-3) is divided by t.
3
Suppose -41*h + 508 = -37*h. Let c = h - 91. Calculate the remainder when 109 is divided by c.
1
Suppose -7*t + 125*t - 38109 = 115291. What is the remainder when t is divided by 12?
4
Let h(a) = -80*a - 370. What is the remainder when h(-16) is divided by 452?
6
Calculate the remainder when 208 is divided by (-1)/(-4) - (25641/(-222) + (-21)/(-12)).
94
Let b = 112 - 104. Suppose -54 = 5*s - b*s. Let y = 166 - 114. What is the remainder when y is divided by s?
16
Suppose 0 = -3*l - 12*l + 135. Let x be (-8 - -4 - -5)*-2. Let p = x - -16. Calculate the remainder when p is divided by l.
5
Suppose 3*n = 3*o - 2*n - 559, 707 = 4*o + n. Let t = o - 154. Suppose -6*g = -163 - 107. Calculate the remainder when g is divided by t.
21
Let g(i) be the third derivative of 131*i**6/30 - i**5/30 + 3*i**4/8 - 4*i**3/3 - 3*i**2 + 18. What is the remainder when g(1) is divided by 88?
83
Let h(o) = o**2 - 19*o - 116. Let d be h(24). Suppose -3*z = -d*f + 193, 0 = f + 3*z - 42 + 5. What is the remainder when f is divided by 32?
14
Suppose -j - 198 = -2*i, -2*j + 100 = i - 9. Calculate the remainder when i is divided by 7.
3
Let t(s) = 9*s**2 - 21*s - 48. What is the remainder when t(-7) is divided by 166?
42
Let l(g) = -25*g - 18. Let u(b) = -b + 6. Let r be u(0). Suppose r = -2*f - f. What is the remainder when 61 is divided by l(f)?
29
Let y(r) = 14*r**2 + 3*r - 22. Let z be y(-5). Let u = z + -174. Calculate the remainder when u is divided by 20.
19
Suppose -w - 81 = 5*l, 0 = 3*w - l - 3*l + 243. Let c be (-4)/(-6) + (-1161)/w. Calculate the remainder when 18/c*(-50)/(-3) is divided by 7.
6
Let f = -54 + 106. Suppose -3*m = -4*j + f, 0 = 5*j - 3*j + 5*m. Let a = -302 + 319. Calculate the remainder when a is divided by j.
7
Let h = -358 + 612. Suppose j = 30 + h. Suppose 0*k + u = 2*k - 137, -4*k = -4*u - j. What is the remainder when k is divided by 23?
20
Let f(q) = 1072*q + 304. What is the remainder when f(2) is divided by 70?
68
What is the remainder when 5607 is divided by -3 + 9 + -1 - (-1 - 5)?
8
Let q be (1 - 5)*(1 - (-9)/(-4)). Let d(r) = -r + 16. Calculate the remainder when q - 9 - (-235)/5 is divided by d(0).
11
Let z(y) = -14*y + 178. What is the remainder when 2478 is divided by z(7)?
78
Let b be 13/4 + (-3)/(-4). Suppose 263 = 2*j + 5*h, -b*h + 195 = 3*j - 196. Calculate the remainder when j is divided by 11.
8
Let z(x) = 9*x**3 + 14*x**2 + 18*x - 12. Let w be z(-5). Let l = w - -899. Suppose -43 + 123 = 2*r. Calculate the remainder when r is divided by l.
18
Let j = 359 + -235. Suppose -14*a + 11*a + 297 = 0. Suppose -y + 124 = 5*i, 2*y - y = -4*i + a. Calculate the remainder when j is divided by i.
24
Let c = -199 + 205. Suppose c = -3*h + 4*h. Calculate the remainder when 16 is divided by h.
4
Calculate the remainder when 148*(10/4 + -2) is divided by 24 - (-9 - (-6 - 17)).
4
Suppose 10*c + 603 = -1067. Let i = c + 177. What is the remainder when 69 is divided by i?
9
Suppose 0 = -4*y + b + 21, -2*y + y + 3*b = -8. Suppose 21 = -y*w + 6*w. Calculate the remainder when 3 + w/(-6) + (-37)/(-2) is divided by 4.
2
Suppose 19*t + 23210 = -8*t + 68273. Calculate the remainder when t is divided by 105.
94
Suppose -100*j - 1545 + 29794 = -1251. Calculate the remainder when j is divided by 15.
10
Let r(i) = 2*i**3 + 3*i**2 - i - 1. Let n be r(1). Suppose -5*v + v - n*x = -412, x = 0. What is the remainder when v is divided by 15?
13
Suppose -61*p + 54475 = -36*p. What is the remainder when p is divided by 216?
19
Let h(b) = 5*b**2 - 4*b + 6. Let y(o) = o + 1. Let u be y(-1). Suppose u = -32*z + 26*z + 12. Calculate the remainder when 52 is divided by h(z).
16
Suppose 4*i + 60 = m + m, 4*m + i - 75 = 0. Suppose 0*f = -2*f + m. What is the remainder when (-24)/40 + 128/5 is divided by f?
5
Calculate the remainder when (17/2)/(6/204) is divided by -59 + 48 - 1*-25.
9
Suppose 2916 = 17*j - 5*j. Let r = 272 - j. What is the remainder when 434 is divided by r?
28
Suppose 7*m - 4*m = 15, -2*m = -2*y + 92. Let r(k) be the first derivative of -3*k**2/2 - 20*k - 26. What is the remainder when y is divided by r(-11)?
12
Suppose 0 = -63*d + 28086 - 7737. Suppose 3*p = p + 130. What is the remainder when d is divided by p?
63
Suppose r = 6*r + 5*d - 1485, 1190 = 4*r + 5*d. Suppose -2*p - t = -42, -3*p + t + 65 = 2*t. Calculate the remainder when r is divided by p.
19
Suppose -x + 4*j + 15 = -58, -440 = -5*x + 5*j. Let d be (-1)/(-3) + 55/15. Let l(k) = k**2 + 3*k - 4. What is the remainder when x is divided by l(d)?
21
Let f be 11/((-55)/(-140))*1. Suppose -24 = -f*o + 26*o. Let l(w) = 2*w. Calculate the remainder when l(o) is divided by 9.
6
Suppose 0 = 2*k - 2*d + 194, 0 = -k + 3*k - d + 190. Let w = 120 + k. What is the remainder when w is divided by 15?
12
Suppose 2*p = -5*x + 110, -4*p + 2*x = -3*x - 280. Calculate the remainder when 114 is divided by p.
49
What is the remainder when (-84)/(-56)*(-96)/(-27)*342/8 is divided by 163?
65
Let z be 0 + ((-20)/1)/((-8)/24). Let y = z - 56. Suppose -24 = -y*s - 8. Calculate the remainder when 7 is divided by s.
3
Suppose -221*x + 27720 = -73*x + 1820. What is the remainder when 1057 is divided by x?
7
Suppose 0 = -2*h - 4*d + 132, 3*d + 22 = 7. Let t be (4 + -2)*(7 - 137). What is the remainder when h is divided by (8/(-10))/(8/t)?
24
Let z(i) = 3*i**2 + i. Suppose -22 = 4*t - 2*j, -29*t + 26*t = -2*j + 18. What is the remainder when (54 - (1 - t)) + 6 is divided by z(2)?
13
Suppose -17*l + 20*l = -9, -4*m + 207 = 3*l. Suppose z - y - 24 = 0, -30 = -2*z - 3*y + 3. What is the remainder when m is divided by z?
12
Let w(v) = 20*v + 153. Let t be w(-5). Let a = t + -38. What is the remainder when 43 is divided by a?
13
Let z be (-1)/(-2)*(33 - -331). Let o(j) = j**2 + 7*j + 6. Calculate the remainder when 6/9*6 + z/2 is divided by o(-8).
11
Let n(t) = -t**2 - 152*t - 4189. What is the remainder when 3166 is divided by n(-37)?
64
Let m = -31 + 55. Let k be (-9 - (-13)/2)/((-1)/22). Let z = m + k. Calculate the remainder when z is divided by 27.
25
Suppose 4*d + 3*r - 6*r - 69 = 0, 0 = 5*d + 5*r - 60. Calculate the remainder when 561/374 + (-1)/(2/(-97)) is divided by d.
5
Let t = 402 - 397. Suppose 0 = -t*g - 27*g + 8032. Calculate the remainder when g is divided by 63.
62
Suppose 0 = 786*j - 888*j + 252246. What is the remainder when j is divided by 207?
196
Let b = 6174 + -6087. Calculate the remainder when 407 is divided by b.
59
Let v(u) = u**3 + 36*u**2 - 205*u + 59. What is the remainder when 522 is divided by v(-41)?
50
Let h = -7336 + 7364. Calculate the remainder when h is divided by 63/6 - (-3)/6.
6
Let a = -4671 + 5144. What is the remainder when a is divided by 26?
5
Calculate the remainder when ((-58)/8 - -2)*56/(-6) is divided by 10*1/5 - (0 - 25).
22
Suppose -263 + 1063 = 5*g. Calculate the remainder when g is divided by 5*(5/1 - (32 + -33)).
10
Let x(z) = -22*z + 138. Let b be x(-24). Suppose 5*l + b = 14*l. Calculate the remainder when l is divided by 15.
14
Let j = -102 - -240. Suppose -5*z - 33 = -j. Suppose 60 = -z*d + 23*d. Calculate the remainder when 59 is divided by d.
29
Let o(r) be the second derivat