the remainder when 29 is divided by x?
12
Let r(z) = z**3 - 9*z**2 + 12. Let s be r(9). Suppose -3*y = s - 6, x = -3*y + 120. Calculate the remainder when x is divided by 26.
22
Let x be ((-5 - -1) + 4)/(-2). Suppose x = -5*r - r + 144. Calculate the remainder when r is divided by 7.
3
Suppose 4*c + 6*f = 9*f + 43, 3*f - 27 = -3*c. What is the remainder when 425 is divided by c?
5
Let n(q) = -q**3 + 5*q**2 + 4*q + 10. Let v be n(7). Calculate the remainder when 26 is divided by (-6)/(-10) - 384/v.
5
Let b(k) = -3 + 13*k - 2*k + 1. Let y(w) = 12*w - 2. Let x(f) = -2*b(f) + 3*y(f). Calculate the remainder when x(5) is divided by 18.
14
Suppose -5*x + 598 + 162 = 0. What is the remainder when x is divided by 12?
8
Let o(t) = -92*t + 489. What is the remainder when o(5) is divided by 8?
5
Suppose 0 = -s + 4*s - 51. Calculate the remainder when 161 is divided by s.
8
Suppose 4*d - 2*d = c + 26, 4*d - 3*c - 52 = 0. Suppose -3*v = -5*k - 50, 0*v - 3*k - 35 = -2*v. What is the remainder when v is divided by d?
12
Suppose -12*m + 274 + 194 = 0. What is the remainder when 228 is divided by m?
33
Suppose 0 = -4*b, -j + 5*b + 24 + 1 = 0. Calculate the remainder when j is divided by 4.
1
Suppose -52 + 2 = -10*f. Suppose -w - f*n + 4 = -2*w, -68 = -3*w - 5*n. What is the remainder when (27*1)/1 + 2 is divided by w?
13
Suppose 69 + 84 = 17*w. What is the remainder when 115 is divided by w?
7
Let b(q) = q**3 + 5*q**2 - 86*q + 29. Calculate the remainder when 581 is divided by b(-12).
51
What is the remainder when 131 is divided by (217/93)/((-1)/(-3))?
5
Let z = 427 + -249. Calculate the remainder when z is divided by 61.
56
Let w(x) = -x**2 - 8*x - 2. Suppose 5*k - 44 = -4*c, -c - 2*k + 72 = 4*c. Let r(i) = -2*i**2 + 33*i + 13. What is the remainder when r(c) is divided by w(-6)?
9
Let q(p) = p**2 - 16*p + 32. Let n be q(16). Suppose 2 = -5*o + n. Let b(g) = g**3 - 6*g**2 - 6*g + 4. Calculate the remainder when b(7) is divided by o.
5
Suppose 0 = 5*c, 0*c = o + 5*c + 18. Let r = -7 - o. What is the remainder when 31 is divided by r?
9
Let h(p) = p**3 - 16*p**2 - 18*p + 31. Let b be h(17). Let t = -7 + b. What is the remainder when 27 is divided by t?
6
Let p be (-10)/(-2) + (0/(-4))/(-6). Suppose -5*j - 3*x = -0*x - 202, -p*j = -4*x - 209. Calculate the remainder when j is divided by 14.
13
Let l(g) = g + 17. Calculate the remainder when (9/(-6) + 1)/((-6)/1392) is divided by l(7).
20
Let k(t) = -2*t**3 + t**2 - 4*t - 24. What is the remainder when k(-6) is divided by 67?
66
Let f(u) = -u**3 - 6*u**2 - 11*u - 4. Let o(v) = 6*v + 2. What is the remainder when f(-5) is divided by o(2)?
12
Calculate the remainder when 142 is divided by (-16)/32*400/(-12)*3.
42
Suppose 4*d + 10 = 6. What is the remainder when 200 is divided by (d - 2/(-1))*51/1?
47
Let h = -40 - -40. Suppose 5*z + 0*i = 3*i, -3*i = h. Suppose 59 = -3*u + 6*u + 5*r, z = u - 2*r - 5. Calculate the remainder when 49 is divided by u.
10
Suppose 42 = -3*n + n. What is the remainder when 267 is divided by (-11)/77 + (-948)/n?
42
Let o = -57 + 67. Calculate the remainder when (-2)/5 + (-26)/o - -69 is divided by 35.
31
Let h = 433 - 397. Calculate the remainder when 61 is divided by h.
25
Let x = -1314 + 1328. What is the remainder when 193 is divided by x?
11
Suppose 5*m - 2*v + 5*v = 75, 64 = 3*m - 2*v. Calculate the remainder when m is divided by (-152)/(-15) - (-18)/(-135).
8
Calculate the remainder when 817 is divided by 306/357 - 141/(-7).
19
What is the remainder when (-2)/(-16)*-34*-4 is divided by (-1)/2 - (-33)/6?
2
Let f = -305 - -149. Let w = 57 - f. What is the remainder when w is divided by 43?
41
Let z(k) = -7*k**3 - 2*k**2 - k. Let t be z(-1). Let g be t*2/4 + 19. Let b = 33 + g. Calculate the remainder when b is divided by 14.
13
Suppose -z + 5*w - 4*w = -71, -143 = -2*z + w. Let b = z + -65. Calculate the remainder when 20 is divided by b.
6
Suppose 6*b = 2*b + 28. Let f be 284 - (12/(-3) - -3). Let a = f + -266. Calculate the remainder when a is divided by b.
5
Let t(c) be the second derivative of -c**3/2 + 14*c**2 - 21*c. What is the remainder when 18 is divided by t(6)?
8
Suppose -2*w = -339 + 125. Suppose 35 = -102*m + w*m. Calculate the remainder when m is divided by 3.
1
Let b(w) = 3*w - 21. Let u be b(-7). Calculate the remainder when -15*36/u*(-7)/(-5) is divided by 5.
3
Let i(h) = -h**2 + 7*h + 2. Let o be i(6). What is the remainder when 13 is divided by (-2)/8 + 74/o?
4
Let d(j) = -30*j - 7. Calculate the remainder when d(-1) is divided by 14.
9
Let o = -7 - 31. Let u = 64 + o. Let c(a) = 3*a**2 + a + 7. What is the remainder when c(-5) is divided by u?
25
Suppose -y - 123 = -3*g - 4*y, 3*y = -2*g + 83. Let a(w) = w**2 - 26*w + 3. What is the remainder when a(-5) is divided by g?
38
Let j be (-847)/(-21) - 4/(-6). Let n = -6 + j. What is the remainder when n is divided by 1*-1 + (-7 - -20)?
11
Suppose 0 = 2*k + 4*b - 0*b - 12, 2 = 2*b. Suppose k*t = 16, 4*f - 3*t - 7 = 13. What is the remainder when 20 is divided by f?
4
Suppose 4*x - n + 6*n + 49 = 0, -n + 7 = -2*x. Let l = -2 - x. Suppose 6*a = l*a + 10. Calculate the remainder when 12 is divided by a.
2
Let a(z) = -9*z - 12. Let v(i) = -i**3 + 4*i**2 + 6*i - 2. Let p be v(7). Let h = p - -150. Calculate the remainder when h is divided by a(-3).
13
Let x = 21 - 36. Suppose 144 = 4*f - 136. Calculate the remainder when f is divided by 176/10 + (-6)/x.
16
Suppose 84*f - 2133 = 2319. What is the remainder when f is divided by (-4)/(-18) + (-178)/(-9)?
13
Calculate the remainder when (-8*4)/(136/(-816)) is divided by 123.
69
Suppose -5*z + b + 56 = 0, 3*z - 29 = b - 5*b. Let c(t) = 3*t + 75. Calculate the remainder when c(-15) is divided by z.
8
Let o = 7 - 1. Suppose x - g = 14, 42*x - 46*x - 4*g = -32. Calculate the remainder when x is divided by o.
5
Let f(k) = -2*k**3 + 9*k**2 + 15*k + 5. What is the remainder when f(-4) is divided by 34/((-10)/(-5) + 0)?
13
Suppose 0 = a - v - 29, -3*a = -2*a + 2*v - 44. Calculate the remainder when 101 is divided by a.
33
Suppose 3*m + 2*c = -21 + 97, 4*m - 101 = -3*c. Suppose o + 2*z = m, -3*o - 4*z - 80 = -7*o. Calculate the remainder when 41 is divided by o.
19
Let t = 545 - 538. What is the remainder when 131 is divided by t?
5
Let w(y) = -5*y + 4*y + 0*y + 1. Let s = 58 + -26. What is the remainder when s is divided by w(-11)?
8
Let n = -1326 - -1345. What is the remainder when 907 is divided by n?
14
What is the remainder when 208 is divided by (99/54 - 2)*-348?
34
Suppose -c = -2*c. Let r be (-2 - 0)/(2/(-35)). Suppose -13 = -3*m - s, 5*m - 3*s - 2*s - r = c. Calculate the remainder when 13 is divided by m.
3
Let g be 6/8 - (0 - (-180)/(-16)). Suppose 0 = 4*u - 126 + 30. Calculate the remainder when (g/(-4) - -56) + -3 - 4 is divided by u.
22
Suppose 4*z = -18 + 22, -y + 23 = -3*z. Calculate the remainder when 125 is divided by y.
21
Suppose -35 + 25 = -n. Calculate the remainder when 88/5 + 4/n is divided by 11.
7
Suppose z = -3*t + 328, -324 = 2*t - 5*t + 3*z. Calculate the remainder when t is divided by 11.
10
Let d(t) be the second derivative of -t**4/12 - 19*t**3/6 - 5*t**2/2 + 3*t. Calculate the remainder when d(-16) is divided by 15.
13
Suppose -76 = 18*k - 742. What is the remainder when k is divided by 7?
2
Suppose -t + 162 = -4*i, 39 - 14 = 5*i. Let c = -57 + t. What is the remainder when c is divided by 16?
13
Let i = -6 + -6. Let o(r) = 48*r - 25*r - 15 - 27*r. Calculate the remainder when o(i) is divided by 12.
9
Let l = 41 - 23. Calculate the remainder when l is divided by 4.
2
What is the remainder when 2932/6 - (11 + 0)/(-33) is divided by 14?
13
Suppose -70*n = -86*n + 6304. Calculate the remainder when n is divided by 16.
10
Suppose -4*o + 6 = -18. Let x(a) = a**3 + a**2 - 4*a - 1. Let f be x(-2). Suppose -u - 5*l + o + 6 = 0, -f*l = 0. What is the remainder when u is divided by 7?
5
Calculate the remainder when 59 is divided by ((-3)/3 + 0)/((-5)/55).
4
Let m = -105 + 114. What is the remainder when 312 is divided by m?
6
What is the remainder when -389*(20/(-12) - 8/(-12)) is divided by 26?
25
Suppose -5*y = f - 78, -f = -y - 3 + 21. What is the remainder when 123 is divided by y?
11
Calculate the remainder when 51 is divided by 1/(34/187 - 15/264).
3
Let