vided by 21.
15
Let a(x) be the second derivative of 5/3*x**3 + 0 - 1/2*x**2 - 11*x - 1/12*x**4. What is the remainder when a(8) is divided by 6?
3
Let f = -130 - -259. Let j = 238 - f. What is the remainder when j is divided by 5?
4
Calculate the remainder when (9/((-252)/16))/((-6)/7707) is divided by 105.
104
Let z(h) = 139*h - 4531. What is the remainder when z(33) is divided by 34?
22
Let t(z) = -2*z**2 - 58*z - 4. Let r be t(-27). Suppose 116*h - 972 = r*h. Calculate the remainder when 320 is divided by h.
77
Let k(j) = j**3 + 10*j**2 + 11*j + 13. Let w be k(-9). Suppose 47*y - 284 = -2. What is the remainder when (-75)/w - (-2 + 3) is divided by y?
2
Let a = -7 - -7. Suppose -2*i + 420 = -a*i. Suppose 0 = -2*d - 2*u + 218, i = d + d + 4*u. What is the remainder when d is divided by 29?
26
Let i = -597 + 601. Let v be (1 + -2*1)*0. Suppose -2*r + i*r - 26 = v. Calculate the remainder when r is divided by 8.
5
Suppose -32 = t - 35. Let n(s) be the second derivative of s**4/12 - 2*s**2 + 2*s. What is the remainder when 7 is divided by n(t)?
2
Calculate the remainder when -3*1908/(-27)*(-10)/(-8) is divided by 37.
6
Suppose 0 = -5*g + 5*j - 3*j + 258, -g + 5*j + 47 = 0. Let l = g - 33. Suppose 123*i - 4643 + 215 = 0. What is the remainder when i is divided by l?
17
Let q(v) = -v**3 + 5*v**2 - v + 4. Let y be ((-3)/(-4))/((-9)/24). Let t = -2 + y. Calculate the remainder when q(t) is divided by 39.
35
Suppose -16 = -4*a + 20*a. Calculate the remainder when 303 is divided by (a - -1) + 459/9.
48
Let a(m) = m**2 - m + 0 + m**3 + 0. Let u = 13435 + -13366. Calculate the remainder when u is divided by a(2).
9
Let n = -9037 + 9068. What is the remainder when 4834 is divided by n?
29
Let h(a) = 2*a**2 - 11*a - 68. What is the remainder when 220 is divided by h(-4)?
4
Let r = 77822 - 77795. Suppose 3*d - 142 - 55 = -5*q, -4*d + 5*q + 251 = 0. Calculate the remainder when d is divided by r.
10
Let k(m) = m + 8. Let w = 52 + -60. Let i be k(w). Suppose i = 2*y + 8*y - 30. Calculate the remainder when 3 is divided by y.
0
Suppose -895*h = -886*h - 5382. Calculate the remainder when h is divided by 16.
6
Suppose 2*j - 2*o + 4 = -6, 4*j + 4*o - 20 = 0. Suppose j = -7*i - 4*i + 2827. Calculate the remainder when i is divided by 65.
62
Suppose 0 = 8*p - 104 + 4576. Let v = 567 + p. Calculate the remainder when 108 is divided by v.
4
Let i be -3*(-3)/2*4/(-9). What is the remainder when 54 is divided by 21 - i - 65/(-13)?
26
Suppose 6*x - 3582 = -11202. What is the remainder when (-62)/(-217) - x/14 is divided by 48?
43
Let l = -29 + -165. Let a = -151 - l. Calculate the remainder when a is divided by 16.
11
Let s be 29 + (-1)/2*0. Let g = 3472 - 3421. Let j = g - s. What is the remainder when 41 is divided by j?
19
Let f be (-12)/(-28)*7 - 1*246. Let q = f + 439. Calculate the remainder when q is divided by 18.
16
Suppose -2*p + 6*p - 227 = -u, 5*u + 233 = 4*p. Calculate the remainder when p is divided by (38/(-9) - 6/(-27)) + 28.
9
Suppose 3*s + 10 = -w, w - 10 = 3*w + 4*s. Suppose -39 = -w*t + 1. Let d = 78 - 60. Calculate the remainder when d is divided by t.
2
Suppose 0 = -5*o + 7 + 8. Suppose 0 = -2*c + 6, 0 = -4*p + o*c + c + 60. Let f = p - -11. What is the remainder when f is divided by 15?
14
Suppose 161*p = 60*p + 15981 + 110067. What is the remainder when p is divided by 307?
20
Suppose 0 = i + 3*z - 35, 5*i - 2*z = -6*z + 131. Calculate the remainder when 67 is divided by i.
21
Let l be ((-2)/(-3))/2*6. Suppose -3*h + l*h = -240. Suppose -216*y + 80*y + 3672 = 0. What is the remainder when h is divided by y?
24
What is the remainder when (-176)/12*3*-1 is divided by (-17)/68*6 - (-632)/16?
6
Suppose 1773*r = -2*a + 1774*r + 23, -13 = -2*a - r. Let c = -23 + 40. Calculate the remainder when c is divided by a.
8
Suppose -1943*a + 31 = -1942*a + d, 2*a = 2*d + 22. Calculate the remainder when 254/8 - 1/(-4) is divided by a.
11
Let l(q) = 9*q - 100. Let u be l(14). Suppose 64 + u = 15*r. What is the remainder when 45 is divided by r?
3
Let t = 296 + -192. Let c = t - 91. Calculate the remainder when 43 is divided by c.
4
Let h(a) = 363*a**3 - a**2 - a + 1. Let c be h(1). Suppose 3*o + 341 = c. Let p = -33 + 73. What is the remainder when p is divided by o?
5
Let j(w) = -w**3 - 14*w**2 - 31*w - 13. Let y be j(-11). What is the remainder when 76 - (y/70)/((-2)/(-12)) is divided by 24?
7
Suppose 3*a - 4*h - 1767 - 1406 = 0, a + 2*h = 1041. What is the remainder when a is divided by 34?
31
Let n = 2061 + -1887. What is the remainder when n is divided by 19?
3
Suppose 28 + 62 = 5*r. Suppose -1430 = -4*w - r*w. What is the remainder when w is divided by 17?
14
Suppose 209*g - 17001 = 189700. Calculate the remainder when g is divided by 166.
159
Suppose 4*r = -r - 235. Let z = 62 + r. Calculate the remainder when 59 is divided by (24/z)/((-6)/(-75)).
19
Calculate the remainder when 19574 is divided by (-6 + 3)*(-180)/(12 - 8).
134
What is the remainder when 843 is divided by (2079/66)/((-10)/(-60))?
87
Suppose -8033 - 23167 = 120*d - 328*d. What is the remainder when d is divided by (-4)/(-2) + 25 + -1?
20
Let j(k) = -k**2 + 30*k + 16. Let q be j(27). Suppose 2*o = -35 + q. Calculate the remainder when 53 is divided by o.
22
Let o(i) = 13*i + 3. Let z be o(-3). What is the remainder when z/90*(-55)/2 is divided by 9?
2
Suppose -5*d = -f + 147, 117*f - 4*d = 120*f - 346. Calculate the remainder when f is divided by 18.
14
Let m = 11 - -12. Suppose -2*j = -f - 52, -5*j + 4*f + 52 = -3*j. Suppose 4*u + 2*c - j = 0, 5*c - c = u + 16. Calculate the remainder when m is divided by u.
3
Suppose -6*l - 23 = -4*n - 11*l, -5*n - 2*l + 16 = 0. Let i(j) = j**3 + 5*j**2 + 3*j + 1. Suppose y = 4*y + 12. What is the remainder when i(y) is divided by n?
1
Let s(v) = v**3 - 10*v**2 + 44*v + 8. What is the remainder when 653 is divided by s(4)?
37
Let h(q) = 3*q**2 - q - 2. Let g be (2 - -1)*4*-1. Let i be (-2)/(-2) + g/3. Calculate the remainder when 55 is divided by h(i).
27
Let z be (-44)/(-7) - ((-132)/(-21) - 6). Suppose 4*u - z = 14. Suppose -v - 2*v = -x + 44, -u*x = -4*v - 198. Calculate the remainder when x is divided by 10.
8
Let g(m) = -6*m - 2*m**2 + 5*m - 2*m + 5 + 3*m**2 + 2*m. Let o(w) = 4*w**2 - w + 1. Let p be o(1). Calculate the remainder when g(p) is divided by 10.
7
Let b = -850 + 179. Let i = 713 + b. Calculate the remainder when 124 is divided by i.
40
Let m(y) = 17*y + 823. What is the remainder when m(-9) is divided by 42?
40
Suppose -u + 3 = -11. Let z(a) be the second derivative of -a**4/12 - 7*a**3/3 - 22*a**2 - 170*a. What is the remainder when u is divided by z(-7)?
4
Let i(l) = -29*l - 29. Let m be i(-1). Suppose -5 = 5*x, -4*o + 3*x + 15 = -m*x. Calculate the remainder when 112 is divided by o.
1
Let q be (4 + 3)*27/63. Suppose 0 = -q*v + 91 + 23. What is the remainder when 303 is divided by v?
37
What is the remainder when 7 + 50/(-10) + 847 is divided by 70?
9
Let n(t) = -t**3 + t**2 - 2*t + 13. Let u = 494 - 172. Calculate the remainder when u is divided by n(0).
10
Calculate the remainder when 1683 is divided by 5/50 + ((-358)/20)/(3/(-93)).
18
Let i(j) = 6*j**2 - 10*j - 3. Let s be i(3). Suppose s*z - 15151 = 3518. What is the remainder when z is divided by 81?
79
Suppose 10058 = 5*z - 4*i, 0 = -32*z + 37*z - 5*i - 10065. What is the remainder when z is divided by 112?
102
Let d be (1969/55)/((2/(-10))/(-1)). Let j = -107 + d. What is the remainder when j is divided by (38/(-5))/(1/(-5))?
34
Let j be -2 + 2 - (0 - 0). Let t = 8 - -16. What is the remainder when (-69 + j)*(-74)/111 is divided by t?
22
Suppose -4*j - 107 = z, 6*j - 3*j = -z - 80. Let p = 404 - 786. Calculate the remainder when p/(-18)*1 - (-6)/j is divided by 4.
1
Suppose 7*d - 2673 = 4*w, 2*w + 26 = d - 363. Let t = d + -144. What is the remainder when t is divided by 17?
14
Suppose -4*l - 93 = -3*v + 38, -8*l = -v + 37. Calculate the remainder when 187 is divided by v.
7
Let g(o) = -130*o + 12446. What is the remainder when 332 is divided by g(95)?
44
Suppose 0 = -536*h + 541*h - 645. Calculate the remainder when h is divided by 30.
9
Let z be (4/5)/(-4*1/(-170)). Let u = 31 - z. Let m = u + 23. Calculate the remainder when 39 is divided by m.
19
Suppose m + m - 879