t h = 57 + 7. Suppose 0*k + 5*k - x - h = 0, 5*k - 80 = 5*x. What is the remainder when 90 is divided by k?
6
Suppose -3*l = 9*c + 7*l - 661, -239 = -3*c - 2*l. Calculate the remainder when c is divided by (-4)/12 - (-70)/3.
20
Suppose 123 = 18*l - 75. Suppose -13*n = -l*n - 86. Calculate the remainder when n is divided by 24.
19
Let v(a) = -133*a**3 - 760*a**2 + 4*a - 20. Calculate the remainder when v(-6) is divided by 135.
109
Let c(j) be the second derivative of 5*j**4/12 - j**3/6 - 5*j**2 + 5*j. Calculate the remainder when c(-5) is divided by (-35 - -37)/(2/(-4)) - -45.
38
Suppose -4 + 15 = -4*v - 5*l, -5*v - 5*l - 10 = 0. Let p = v + -1. Suppose p = -0*g - 4*g + 84. Calculate the remainder when 82 is divided by g.
19
Let u be 785/9 - 1/(-27)*-6. Let z = u + -67. Calculate the remainder when 57 is divided by z.
17
Suppose 2*b + 12 = 2*g - 0*g, g = -b + 10. Suppose 0 = 14*m - g*m - 192. What is the remainder when m is divided by (-102)/4*2/(-3)?
15
Suppose 17*u - 18779 = -19*u - 53*u. What is the remainder when u is divided by 31?
25
Let j(k) = -k**3 + 6*k**2 - 2*k - 13. Let f be j(5). Let x(o) = 4*o**f + 23*o + 4*o**2 + 221 - 220 + o**2. Calculate the remainder when x(-4) is divided by 8.
5
Let c be -1*((-30)/(-5) - 2). Let r be (c - 0 - -1) + 5. Suppose -r*k = -12*k + 20. Calculate the remainder when 2 is divided by k.
0
Let j(t) = t**3 - 5*t**2 + t + 9. Let f be j(3). Let l = -14 + 71. Calculate the remainder when l is divided by 2*(26 + f)*(-4)/(-10).
9
Let g(c) = 14*c - 139. Let d(p) = -10*p - 13. Calculate the remainder when d(-18) is divided by g(13).
38
Let r = -6257 - -6637. Calculate the remainder when 1148 is divided by r.
8
What is the remainder when 30/135 + -156*(-300)/81 + -7 is divided by 81?
4
Let c = -2095 + 2161. Calculate the remainder when 514 is divided by c.
52
Suppose 20*d - 283 - 577 = 0. Calculate the remainder when 426 is divided by d.
39
Let u = -46 - -54. Suppose u = -3*f - 2*y - 2, -5*f = 2*y + 14. Calculate the remainder when 56*(14 - 10)*(-1)/f is divided by 23.
20
Suppose -361 = -18*w + 107. Let c be 1 + -3 - (-1 + -4). Suppose -c*s = -22 + 4. What is the remainder when w is divided by s?
2
Let s = -520 + 548. What is the remainder when 391 is divided by s?
27
Let j(w) = -w**2 + 68*w - 917. What is the remainder when 157 is divided by j(21)?
17
Let j = 1183 + -1034. What is the remainder when 734 is divided by j?
138
Let q = -44116 - -44126. Suppose r + 2*j - 23 = -0*j, -31 = -r + 2*j. Calculate the remainder when r is divided by q.
7
Suppose 2*j + 10 = 3*j. Let w = -689866 - -690274. Calculate the remainder when w is divided by j.
8
Let t(g) = -g - 3. Let m be t(-7). Suppose -m*u + 547 - 299 = 0. What is the remainder when u is divided by 4?
2
Let r(y) = -23*y - 1. Let f(g) = 63*g + 1847. What is the remainder when r(-6) is divided by f(-29)?
17
Let c = -6573 + 6632. What is the remainder when 779 is divided by c?
12
Calculate the remainder when -2 + 2664 + (-14)/4*192/(-112) is divided by 116.
0
Let a be (-8)/48*993*2. Let n = 339 + a. What is the remainder when 27 is divided by n?
3
Let v be (((-20)/8)/5)/((-1)/32). Suppose -v*f + 141 + 275 = 0. Calculate the remainder when 151 is divided by f.
21
Suppose 9*v = 2*l + 13*v - 1398, 0 = 2*l - 5*v - 1425. Calculate the remainder when l is divided by 7.
5
Suppose 228 = g + 232, -5*n = -2*g - 34988. Calculate the remainder when n is divided by 103.
95
Suppose 25 = 5*i, 71*y = 67*y + 5*i + 451. What is the remainder when 686 is divided by y?
91
Suppose 215 = 4*f - 3*i - 200, f - 105 = 2*i. Let c = 146 - f. Let v = 15 + -4. What is the remainder when c is divided by v?
10
Suppose -13*y + 17237 = 17003. Suppose q + 4 = 21. Let x = -10 + q. Calculate the remainder when y is divided by x.
4
Calculate the remainder when (-3)/2*(-6 + (-190)/(-30))*-2138 is divided by 22.
13
Suppose 11 = z + 28. Let c = -15 - z. Calculate the remainder when -96*1/(-3)*c is divided by 13.
12
Let g(n) = n**2 + n + 4. Let f = 119 - 110. Let j(u) = -u**3 + 7*u**2 + 15*u + 40. What is the remainder when g(-6) is divided by j(f)?
8
Let w = 2396 + -2382. What is the remainder when 809 is divided by w?
11
Let a = 31119 + -30847. What is the remainder when a is divided by 41/2 - 1/(-2)?
20
Suppose -2*k + 5*k = 69. Let o = -115 + 118. Suppose c - k = o*w + 8, 3*c + w - 93 = 0. What is the remainder when c is divided by 9?
4
Let a(d) = -2*d**2 - 204*d + 742. What is the remainder when 1492 is divided by a(-105)?
36
Let z(k) = 14*k**2 + 5*k. Suppose -26 = -2*c + 66*g - 63*g, 58 = 2*c + 5*g. What is the remainder when z(4) is divided by c?
16
Let r(x) = -12. Let i(o) = -o + 13. Let y(d) = 4*i(d) + 5*r(d). Let b(h) = 13*h**2 - 100*h + 90. Calculate the remainder when b(7) is divided by y(-6).
11
Suppose -1286 - 6518 = -7*k + 3*k. Calculate the remainder when k is divided by 8.
7
Let y = -121 + 171. Suppose -2*a + 410 - 707 = -13*a. What is the remainder when y is divided by a?
23
Let p = -38730 + 38965. Suppose f - 4*g = 27, 0 = 5*f - f + 3*g - 13. Calculate the remainder when p is divided by f.
4
Let p = 3 + -146. Let s = p + 147. Let g = -6 + 17. What is the remainder when g is divided by s?
3
Let c(v) = -5*v**3 - 5*v**2 - 4*v - 4. Let d be 2 - 6*(-1)/(-3). Suppose -200*f + 196*f + 204 = d. Calculate the remainder when c(-3) is divided by f.
47
Calculate the remainder when 1/(((-91)/(-1337))/13) is divided by 123.
68
Suppose -9*q - 816 = -12*q + 5*p, 3*q - 4*p = 822. Let j(b) = 20*b**2 - 2*b + 1. What is the remainder when q is divided by j(1)?
16
Suppose -3*p = 4*d - p - 144, -5*d = -p - 173. Calculate the remainder when 1712 is divided by d.
32
Let l(m) = -30*m**2 - 9*m - 3. Let u be l(6). What is the remainder when u/(-9) - (-2)/(-6) is divided by 26?
22
Let s(g) = g**3 - 7*g**2 - 17*g + 27. Calculate the remainder when 396 is divided by s(9).
0
Suppose -33*c + 386 = -1066. Let n(h) = -h**3 + 6*h. Let g be n(-3). Let q = g - -3. What is the remainder when c is divided by q?
8
Let f be -3*(4 + (-39)/9) + -19. Calculate the remainder when (-1667)/(-12) + f/(-216) is divided by 37.
28
Suppose -148 = 4*t - 1748. Suppose -22*c = 3*c - t. Calculate the remainder when 53 is divided by c.
5
Suppose -6439 = -111*r - 1888. Calculate the remainder when 1592 is divided by r.
34
Let t(k) = -k**3 + 4*k**2 + 21*k - 43. Calculate the remainder when -8*(-3)/(-6) + 18 is divided by t(6).
3
Let g(r) = -r**2 + 50*r + 3324. Calculate the remainder when 978 is divided by g(87).
33
Let b = 23452 - 23070. What is the remainder when b is divided by 16?
14
Let z = -1 + 3. Suppose -z*k - 1 = -19. Let f(c) = c**3 + 6*c**2 - 7*c + 5. What is the remainder when k is divided by f(-7)?
4
Let o(i) = -i**3 - 3*i**2 - 24*i + 234. What is the remainder when o(-8) is divided by 195?
161
Let u(q) = q**2 + 3*q - 11. Let a(z) = -z**3 + 6*z**2 - 4*z + 1. Let y be a(5). Let r be u(y). Let k = -11 + r. What is the remainder when k is divided by 7?
4
Let x be (90/(-4))/((-39)/104). Suppose 6*q + 0*q = x. Suppose 5*d = 3*g + 15, 4*g + q = 5*d - 0*g. What is the remainder when d is divided by 3?
0
Suppose 423*j = 303*j + 131280. What is the remainder when j is divided by 295?
209
Suppose 14*v - 3643 = 2433. What is the remainder when v is divided by 9?
2
Let m = 12596 + -12573. Calculate the remainder when m is divided by 12.
11
Let n = -191 - -198. Suppose y - n = 4*k + 5, 0 = k - 5. Calculate the remainder when 61 is divided by y.
29
Let s be (-340)/(-51) - 5/3. Suppose 0*w - 144 = -4*w + 2*g, s*w - 2*g = 179. What is the remainder when 64 is divided by w?
29
Let q be 18/(-10)*160/(-48). Let y be (4/3)/(4/q). Calculate the remainder when (((-184)/y)/4)/(-1) is divided by 13.
10
Let k(i) = 2*i**3 - 4*i**2 - 6*i + 3. Let d be k(3). Suppose 27*w - 9900 = -d*w. Calculate the remainder when w is divided by 83.
81
Suppose 3*x - 3*q = 795, 2*q + 228 = -2*x + 770. Suppose -x = 30*p - 4918. Calculate the remainder when p is divided by 53.
49
Let m(a) = 15*a - 99. Let w(o) be the first derivative of 3*o**2/2 - 20*o - 9. Let k(y) = 4*m(y) - 21*w(y). What is the remainder when k(7) is divided by 1?
0
Let u be ((-481)/3 + 1)/(240/1080). Let g = -709 - u. Calculate the remainder when 39 is divided by g.
7
Let y be (-31)/(-4) - (-6)/(24 + 0). Ca