d by (3 + 2)*(-9)/(-15).
1
Let x(f) = -5*f**2 - 45*f + 10. Let t be x(-6). Suppose 120*y - t*y = 960. Calculate the remainder when y is divided by 10.
8
Let h(c) = 64*c - 80. Let t be h(-4). What is the remainder when 220 is divided by ((-10)/(-20))/(((-9)/t)/3)?
52
Let s(j) = j**3 + 11*j**2 + 39*j + 99. What is the remainder when 2506 is divided by s(-7)?
20
Let p(y) = -y**2 - 4*y + 2. Let x be p(-4). Suppose 0*g + 2695 = 77*g. Calculate the remainder when g is divided by -1 + 16 - 6/x.
11
Suppose -10 = -141*f + 136*f. Calculate the remainder when (2/2)/2*2332/f is divided by 39.
37
Let n be (-4 + 66/9)/(2/72). Let u(c) = -2*c - n + 123 + 8*c. What is the remainder when 134 is divided by u(2)?
14
Let j(t) = -6*t - 7. Let k(l) = l**2 - 5*l - 6. Let s(b) = -5*j(b) + 6*k(b). Let m = -663 + 665. What is the remainder when s(m) is divided by 13?
10
Calculate the remainder when (7 - 39100/(-12))*(-12)/(-8) is divided by 20.
18
Calculate the remainder when (78285/(-153))/(1/(-3)) is divided by 327.
227
What is the remainder when 457 is divided by (((-27324)/(-55))/23)/(3/10)?
25
Suppose 0 = 11*m - 8*m - 135. Let o(a) = -5*a**2 - 8*a + 4*a**2 - 19*a - a**3 - 12 - 10*a**2. Calculate the remainder when m is divided by o(-8).
9
Let w = 26 + -21. Let x(t) = -t**3 + 32*t**2 - 63*t + 103. What is the remainder when x(30) is divided by w?
3
Suppose -30*x + 2645 = -25*x. Suppose 383 + x = 19*q. What is the remainder when 151 is divided by q?
7
Calculate the remainder when (35700/700)/(52/49 + -1) is divided by 11.
8
Let t = -2143 - -2303. Calculate the remainder when 5277 is divided by t.
157
Suppose 5*c + 77 = 3*o, 4*o - 2*c - 121 = -9. Calculate the remainder when 110/(-165) + 250/6 + 1 is divided by o.
13
Suppose -468*h - 1 = -469*h, 0 = -5*f + 5*h + 130. Calculate the remainder when 1725 is divided by f.
24
Let v be (-1)/(-6) + 58/12. Suppose 0 = 5*z + a + 49, 4*z + 3*a = v*z + 13. What is the remainder when (z/(-15))/((-4)/318)*-1 is divided by 6?
5
Calculate the remainder when 3208 is divided by 5792/32 + 48/(-4).
166
Suppose -4*n - 2*c = n - 2617, 2*n + c = 1047. Suppose -7*q + 492 + n = 0. Calculate the remainder when q is divided by 30.
25
Let x = 29415 + -27706. What is the remainder when x is divided by 9?
8
Let q(b) = 12*b**2 + 142*b + 1078. What is the remainder when q(-8) is divided by 233?
11
Let k(j) = 3*j**2 - 18*j + 9. Let h be k(5). Let p be -1 + (33/9 - h/(-9)). Suppose 6*y + p*y = 216. What is the remainder when 213 is divided by y?
24
Let a = 193 + -153. Suppose 4*s + 4*j = 335 - 31, 5*j + 10 = 0. Calculate the remainder when s is divided by a.
38
Let g = 11895 - 11881. Calculate the remainder when 3526 is divided by g.
12
Suppose 4*a = 7*g + 4*g - 12369, -3*g = -3*a - 3360. What is the remainder when g is divided by 27?
20
Let k(f) = -2 + 0*f**3 + 49*f**2 - 22*f - 4 + f**3 - 47*f**2. Calculate the remainder when 199 is divided by k(-4).
49
Suppose -2*i - 24 + 8 = 0. Let o(d) = -2*d + 14. What is the remainder when o(i) is divided by ((-18)/7)/(4/(-28)) + -2?
14
Suppose 16487 - 48482 = 4*s - 85*s. What is the remainder when s is divided by 103?
86
Suppose 0 = 5*x + 22 - 77. Suppose -3*w - 2*o + x = -6, -5*w + 25 = 4*o. Calculate the remainder when 348 is divided by w.
6
Suppose -p + 3*j = -19, 3*p = 2*j + 37 - 8. What is the remainder when 324 is divided by p?
2
Let x = 127 - 111. Let c(r) = r**2 - 4*r - 6. What is the remainder when c(12) is divided by x?
10
What is the remainder when 152 is divided by 66 - (-5 + -11 - -10)?
8
Let x = 547 - 179. Let i = x - 351. Let q(b) = 17*b**2 - 2*b + 2. What is the remainder when q(2) is divided by i?
15
Calculate the remainder when (-52567)/(-81) + 162/6561 is divided by 93.
91
Let f = -3793 - -3917. Calculate the remainder when f is divided by 106.
18
Let d(q) = 43*q**2 - 456*q + 456. What is the remainder when d(1) is divided by 13?
4
Let h = -5509 - -5732. What is the remainder when 814 is divided by h?
145
Suppose 0*l = -31*l + 23250. What is the remainder when l is divided by 21?
15
Let x(c) = 20*c + 1793. What is the remainder when 1083 is divided by x(-88)?
27
Let l(h) = h**2 + 151*h - 4854. Let c = -4 + 24. What is the remainder when l(28) is divided by c?
18
Let h(b) = -b**2 + 4*b - 4. Let j be h(3). Calculate the remainder when ((-379)/(-50) + (-438)/5475)/(-5 + 41/8) is divided by (j - -11) + 2 + -3.
6
Let s be (-4*(-3)/(-24))/(2/(-52)). Let d(r) = -2 - 12*r**3 - 3*r + s*r**3 - 17*r**2 + 9*r - 12. Calculate the remainder when d(17) is divided by 45.
43
Suppose -4*a + 18442 = 9*a + 1607. Calculate the remainder when a is divided by 108.
107
Let u = 9 - -20. What is the remainder when 177 - ((-3)/6)/((-11)/110) is divided by u?
27
Suppose -4*p = -3*u + 7*u - 2216, -9*u + 1650 = 3*p. Calculate the remainder when p is divided by 70.
66
Let w(k) be the second derivative of 21*k**2 - 1/2*k**3 + 0 + 31*k. Calculate the remainder when 9 is divided by w(13).
0
Let h = 96 - 94. Suppose h*w = -25 + 33. Calculate the remainder when 16 is divided by w.
0
Let j(q) = -q**3 + 28*q**2 - 92*q - 86. What is the remainder when 1797 is divided by j(24)?
7
Let m = -208 + 327. Let y(o) = 5*o - 36. Let i be 2/10 + 236/20. Calculate the remainder when m is divided by y(i).
23
Let p(q) = 2*q**2 + 17*q - 44. Let i be p(5). Suppose 28*a - 21*a = i. What is the remainder when 165 is divided by a?
9
Let r(c) = c**3 + 13*c**2 + 20*c - 14. Let i(t) = -3*t**2 - 32*t - 30. Let q be i(-10). What is the remainder when r(q) is divided by (0 - -5)*22/5?
20
Let m = -15767 + 17125. What is the remainder when m is divided by 104?
6
Let u(h) = 1 + 5 - h - h + 16*h**2 - 8*h**2. Let n be u(2). Let g = 47 - n. Calculate the remainder when 22 is divided by g.
9
Suppose 4*p - 814 + 238 = 0. Let k = -53 - -117. Suppose 3*u = -k + 211. What is the remainder when p is divided by u?
46
Let d be ((-6)/10)/(-3) + (-38)/(-10). Suppose 3*k + d - 13 = 0. Suppose 5*v = -y + k*y - 29, 3*v = 3*y - 39. Calculate the remainder when 22 is divided by y.
10
Suppose 698 = -10*x + 2008. What is the remainder when 386 is divided by x?
124
Suppose -5*r + 3*c + 435 = 0, 1250*c - 348 = -4*r + 1246*c. Calculate the remainder when 3216 is divided by r.
84
Suppose 0*v = -2*v - 5*g + 54, 5*v + 4*g = 101. Let w = -1192 - -1582. Calculate the remainder when w is divided by v.
16
Suppose -9444*c + 4312 = -9400*c. Calculate the remainder when 299 is divided by c.
5
Calculate the remainder when 536 is divided by ((-5)/(-3))/((5 - 2)/54).
26
Let x be -51*(5 - (-36)/(-6)). Let i = 121 - x. What is the remainder when i is divided by 18?
16
Suppose -3*s - 154 = 16*s - 534. Calculate the remainder when 6919 is divided by s.
19
Suppose 60*z - 55*z = 4*p + 49699, -3*z = -2*p - 29821. What is the remainder when z is divided by 88?
87
Let f = -488 + 506. What is the remainder when 205 is divided by f?
7
Let u(j) be the first derivative of -61*j**4/4 + 2*j**3/3 + j**2/2 - j - 9. Calculate the remainder when u(-1) is divided by (-434)/(-12) - 7/42 - 3.
28
Suppose 0 = -8*c + 1112 + 2520. What is the remainder when c is divided by 7?
6
Let k = 70 + -38. Let p(j) = -j**2 + 24*j + 154. Let m be p(29). Suppose 2*s = -3*s + 4*t + 103, s + 5*t = m. What is the remainder when k is divided by s?
13
Let d(r) = 2*r**2 + 5*r - 11. Let n be d(2). Suppose 2*f = 6 + 8. Calculate the remainder when f is divided by ((-2)/n)/((-1)/7).
1
Let y = -50 - -58. Suppose -y*a = 6*a + 2618. Let p = a - -304. Calculate the remainder when p is divided by 40.
37
Let a(q) = -37*q - 1471. Calculate the remainder when 339 is divided by a(-44).
25
Suppose -302 + 12299 = 3*y. What is the remainder when 89 is divided by 4/(-6)*y/(-86)?
27
Let j = 212 + -170. Suppose -n - 31 = -j. What is the remainder when ((-6)/4)/(3/(-84)) is divided by n?
9
Let d be (-120)/(-36) - (-2)/(-6). Suppose 2*a = -2*w + 556, -141 = -a + d*w + 133. What is the remainder when a is divided by 14?
11
Let n(i) = i**3 + 47*i**2 + 423*i + 215. Calculate the remainder when n(-35) is divided by 50.
10
Let f(n) = 37*n - 731. What is the remainder when 353 is divided by f(24)?
39
Let k = -30124 + 32536. What is the remainder when k is divided by 219?
3
Let n be (705/30)/(-2 - (-84)/40). Let z = n + -196. Suppose 4*k - 3*k + 460 = 3*w, -