4
Suppose 18*d = 5*d + 65. Suppose -c - 1687 = -d*l, -6*l + 1350 = -2*l - c. Calculate the remainder when l is divided by 20.
17
Let q(u) = 427*u + 4863. Suppose -5*k + 33 = -97. Calculate the remainder when q(-11) is divided by k.
10
Suppose -37 = -w + 438*h - 442*h, 4*w + 2*h - 134 = 0. What is the remainder when 879 is divided by w?
21
Suppose 3*j - 5*x - 11 = -132, 3*j + x = -127. Let w = 4416 - -1602. Calculate the remainder when 5/7 - 1 - w/j is divided by 29.
27
Let w(s) = 5*s**2 + 11*s + 6. Let l(x) = 4*x - 20. Let v be l(20). Suppose -v = -7*o + 94. Calculate the remainder when w(-7) is divided by o.
20
Let i(t) = -11*t**2 + 3*t + 13. Let v be i(-6). Let d = v - -439. Calculate the remainder when 161 is divided by d.
9
Let l(f) = 202*f + 4749. Calculate the remainder when l(-20) is divided by 158.
77
Calculate the remainder when (2/4)/(14/(-131264)*-16) is divided by 21.
20
What is the remainder when 996 is divided by ((-18)/9 - (-1 - 39)) + -1?
34
What is the remainder when ((-20)/(-15))/(42/9)*889 is divided by 14?
2
Let w(h) = 2*h**2 - 25*h + 10. Let t(z) = z**2 - 25*z + 8. Let k(o) = -3*t(o) + 2*w(o). What is the remainder when 240 is divided by k(-26)?
20
Let p = 826 - 694. Let v = p - 106. What is the remainder when v is divided by 19?
7
Suppose 0 = -2*o + 2*n - 7*n + 24, 4*n = -3*o + 22. Suppose o*z = 283 + 51. Calculate the remainder when z is divided by 24.
23
Suppose -5*g + 1048 = 108. Let v = g + -159. What is the remainder when 111 is divided by v?
24
Suppose 244*q = 235*q + 423. Let r(u) = -u**2 + u. Let w be r(0). Suppose w - 4 = -g, -4*g = -3*y + 32. Calculate the remainder when q is divided by y.
15
Suppose 9*o - 96690 = -44*o - 2*o. What is the remainder when o is divided by 23?
10
Let q(i) = 21*i**2 + 93*i - 62. Calculate the remainder when q(-11) is divided by 17.
11
Let s(x) = 4*x**2 + 12*x - 7. Suppose l + l + 3*a + 23 = 0, 2*l = -a - 17. Calculate the remainder when s(l) is divided by 36.
33
Let c(p) = -p**2 - 276*p - 3796. What is the remainder when 124 is divided by c(-15)?
5
Let z = -31 + 53. Suppose 5*d - 644 = 136. Suppose 1170 - d = 26*j. What is the remainder when j is divided by z?
17
Suppose 4*v - x = -57, 0 = v + x - 0*x + 13. Let o be 3 - (-21)/(-15) - (-9)/(-15). Let p = o - v. Calculate the remainder when 57 is divided by p.
12
Suppose 64*g - 1035 = 63*g. Suppose -g = 82*x - 87*x. What is the remainder when x is divided by 71?
65
Suppose u = d + 121, 90*u - 93*u = -4*d - 365. What is the remainder when 18562 is divided by u?
117
Let c(p) be the first derivative of -p**4/4 + 11*p**3/3 - 5*p**2 - 4*p - 10. Let f = 22 - 0. Calculate the remainder when c(8) is divided by f.
20
Suppose 9 - 1 = f + 4*j, 0 = -2*f - 2*j + 10. Suppose 16*d + f*o = 15*d + 140, 2*d - 4*o = 256. What is the remainder when d is divided by 9?
6
Suppose -2*h = 4*d - 102, -5*d + 187 = 147. What is the remainder when 1904 is divided by h?
14
Let p be ((-1)/2)/((-85)/(-30) + -3). Let i(a) = 59*a + p - 51*a + 1. What is the remainder when i(15) is divided by 14?
12
Let w(a) = a + 3. Suppose -4*t = 5*p - 4*p + 10, 5*t + 4*p + 18 = 0. Let l(c) = -36*c - 20. Calculate the remainder when l(t) is divided by w(5).
4
Suppose -7*a = -5*a - 2. Let h(j) = 14*j**3 + j**2 - 3*j. What is the remainder when 271 is divided by h(a)?
7
Suppose 12 = -4*n - 8, 0 = -4*q - 5*n + 215. Suppose 0 = b + 4*b - q. Let d(h) = h**3 - h**2 - 1. What is the remainder when b is divided by d(2)?
0
Let a(f) = -234*f**3 + f**2 - 10*f - 11. What is the remainder when a(-1) is divided by 108?
18
Let u be 0*2*(-6)/(-24). Suppose u*l + 120 = 4*l. Calculate the remainder when 208 is divided by l.
28
Let z be (-9)/(-6) + 9/6 - -1. Let h be (z + 0 - 6) + 12. What is the remainder when 264/(-7)*-1 + h/35 is divided by 10?
8
Let m = -12077 + 12141. What is the remainder when 527 is divided by m?
15
Suppose -1313*j + 1277*j = -3528. What is the remainder when 235 is divided by j?
39
Suppose -7*f = -2*q - 9*f + 350, 847 = 5*q - 2*f. Calculate the remainder when q is divided by 99.
72
Let a(o) = -o**3 + 6*o**2 + 2*o - 13. Suppose 3 = j - 14. Let p(v) = -v + 21. Let s be p(j). Calculate the remainder when a(s) is divided by 15.
12
Suppose 3932 = 42*l + 530. What is the remainder when 473 is divided by l?
68
Let g be (4/(-3))/((-2)/30). Suppose -17*b + 86 + 203 = 0. Suppose 0 = a + z - b, -a + 3*z + 13 + g = 0. What is the remainder when a is divided by 12?
9
Let k be (5/(-30)*69)/(1/(-2)). Suppose 2*s = 73 - k. Calculate the remainder when 122 is divided by s.
22
Let m be 2 - -2 - (31 + -25). Calculate the remainder when 2/((-4)/97)*(m + 0) is divided by 41.
15
Calculate the remainder when ((-18)/54)/((-9)/27486) + -10 is divided by 220.
128
Suppose m - 5*o - 5 = 0, 0 = -3*o - 1 + 4. Suppose -22*g = -26*g - 60. Let u = -8 - g. What is the remainder when m is divided by u?
3
Let t = -60 - -58. Let h be -1 + t*12/8. What is the remainder when 33 is divided by -2 + 1 + (-5 - h) - -9?
5
Let l be (63644/(-49) - (-1)/(-7))/(-1). Suppose l = 6*u + 999. What is the remainder when 697 is divided by u?
47
Let s(o) = -651*o + 16943. What is the remainder when s(16) is divided by 68?
67
Let v = 1448 + -1038. What is the remainder when v is divided by 32?
26
Let q(r) be the third derivative of -r**5/60 - 5*r**4/12 + 13*r**3 - 4*r**2 + 4. What is the remainder when q(0) is divided by 7?
1
Let b(v) = 58*v**3 + 4*v**2 + 3*v + 7. Let r(i) = 59*i**3 + 5*i**2 + 4*i + 9. Let p(q) = -5*b(q) + 4*r(q). What is the remainder when p(-1) is divided by 19?
16
Suppose 47*p = 15*p - 1312. Let l(t) = t + 312. What is the remainder when l(p) is divided by 46?
41
Suppose -10*i = -7*x - 11*i + 4407, -3*x = 4*i - 1878. Calculate the remainder when x is divided by 56.
14
Let b(o) = -14 + 21*o**2 - 42*o**2 + 19*o**2 + 41 - 27*o. What is the remainder when 270 is divided by b(-14)?
10
Let w be 120/65 + 4/26 + -6. Calculate the remainder when 51 is divided by (76/6)/(w/(-6)).
13
Suppose 49*z = -16 + 163. Calculate the remainder when 30 is divided by z.
0
Let d(p) = -p**3 - 16*p**2 - 19*p - 15. Suppose 0 = -n + 15 + 112. Let q = 306 - n. Calculate the remainder when q is divided by d(-15).
44
Let j(v) = -22*v + 1 + 4*v**2 + 20*v - v**2. Suppose -2*t = 13 - 71. What is the remainder when j(-5) is divided by t?
28
Let j(y) = y + 240. Calculate the remainder when j(17) is divided by 38.
29
Let w(v) = 4*v**2 - 107*v + 131. What is the remainder when w(-8) is divided by 308?
11
Suppose 24*j - 23*j + 138 = i, -5*j + 10 = 0. What is the remainder when i is divided by 25?
15
Let l(k) be the first derivative of 3*k**2/2 + 42*k - 31. Calculate the remainder when l(-2) is divided by 13.
10
Suppose -2*x = -5*g + 42, 0 = -g - 4*x - 1 + 5. What is the remainder when ((-128)/12)/((-6)/9) is divided by g?
0
Suppose -43*u + 45*u + 520 = 0. Let o = -227 - u. Suppose -5*w + 3*c + 53 = 0, -3*w + 31 = -2*c + c. Calculate the remainder when o is divided by w.
3
Suppose -103 + 99 = -2*x. Let t(w) = -w**x - 9*w + 15*w + 1 + 19*w. Calculate the remainder when t(18) is divided by 16.
15
Let c(q) = 5*q**3 - 90*q**2 - 45*q + 29. Calculate the remainder when c(19) is divided by 329.
321
Let o = 44 + -42. Suppose w = -2*f + o + 7, -w = -f. Suppose g + w = m, 0 = 3*m - 3*g - g - 8. Calculate the remainder when 51 is divided by m.
3
Let m(s) = -156*s - 985. What is the remainder when 426 is divided by m(-7)?
105
Let i(g) = 222 - 10*g - 2*g**2 + 32*g - 5*g**2 + 8*g**2 - 101. Calculate the remainder when 95 is divided by i(-15).
15
Let s(m) = 39*m**2. Let z(k) = k**3 - k**2 + k - 6. Let j be z(0). Let i be (3*(-4)/j)/(-2). What is the remainder when s(i) is divided by 22?
17
Let y be (((-540)/25)/(-6))/(3/10). Suppose y*t + 46 = 14*t. Suppose -3*k = -145 - 122. What is the remainder when k is divided by t?
20
Let u = 40 - 41. Calculate the remainder when 341 - (u*3)/((-36)/48) is divided by 18.
13
Let s = -176 - -189. Suppose 8*c = -51 + 171. Calculate the remainder when c is divided by s.
2
Let a(d) = -d**2 - 5*d - 15. Let p be a(-6). Let v = p - -26. Suppose 0*n + 4*i = v*n - 309, -5*n - 2*i = -303. What is the remainder when n is divided by 16?
13
Suppose 21*g = 336 - 21. Let n = g + -6. What is the remainder when 32 is divided by n?
5
Suppose -5