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t o = 6.5 + -6. Let y = o + 0.5. Which is the biggest value? (a) -2/11 (b) -0.3 (c) y
c
Let s be 0 + -5 + (-444)/(-84). What is the smallest value in -2, -0.5, -7, s?
-7
Let v = 1/150 + -113/75. Which is the fourth biggest value? (a) -0.2 (b) v (c) 4/9 (d) 5
b
Let w = -4.003 + 0.003. Which is the third biggest value? (a) -0.1 (b) -0.2 (c) w
c
Let t = 5.37 + -0.37. Let g = 0.5 - 0.3. Which is the second biggest value? (a) g (b) -2 (c) t
a
Let p = 27 - 28. Which is the second smallest value? (a) -0.4 (b) 1/4 (c) p
a
Let p = -15 + 13. What is the second biggest value in -1, 4, p?
-1
Let f = 12.6 - 13. What is the second biggest value in -0.12, f, -0.2?
-0.2
Suppose -7*s + 3*s + 8 = 0. Let r = 0.15 + -0.15. Which is the third smallest value? (a) r (b) s (c) -2
b
Let b = -46 - -46.5. What is the biggest value in b, 0, -1, 1?
1
Let r = -21 + 6. Let a = -11 - r. Let i be (-1)/a - 21/(-52). What is the biggest value in i, -1, 0.2?
0.2
Let g = 0.7 + -0.2. Let p = -0.049 + 2.149. Let l = p + -2. What is the third smallest value in g, -3, l?
g
Let l be 8/(-2) + 1*-2. Let n be 2/(-4) - (-9)/l. What is the third biggest value in n, 0.3, 4?
n
Let g = -8 + 5. Let c = 1.1 - 1.5. What is the second biggest value in c, g, -0.2?
c
Let n = -26 + 23. What is the biggest value in -2/25, n, 1, 5?
5
Let n = 7 - -31. Let w be n/30 - 8/12. Let s be 12/9*(-1)/6. Which is the second smallest value? (a) w (b) s (c) -4
b
Let i be ((-33)/9)/((-1)/33). Let x = 603/5 - i. Which is the third smallest value? (a) -4 (b) x (c) -2/3
b
Let h = 0.02 - -5.98. Let a = h - 6.06. Let x = a - 0.34. What is the smallest value in 0.4, 5/4, x?
x
Let f = 14 + -17. Which is the second smallest value? (a) -2/7 (b) -1/8 (c) f
a
Let v = 3/13 + -31/78. Let a = 6.4 - 6. Let b be 22/12 + 13/(-39). What is the second smallest value in b, v, a?
a
Let u = -19/72 + -1/9. Which is the smallest value? (a) u (b) -4 (c) 2.2
b
Let u = -19.45 - -20. Let g = -0.5 + u. Which is the third biggest value? (a) g (b) 0.3 (c) -2/5
c
Let r = 63 - 62.7. Which is the biggest value? (a) r (b) -2 (c) 1/10 (d) -0.5
a
Suppose -18*n = 32 + 58. Let r = 8 + -4. What is the third smallest value in r, n, -2?
r
Let k = -33 - -35. Suppose -s = 3 - 1. Which is the second smallest value? (a) s (b) k (c) -4/9
c
Let k be 2/(-6)*(-7)/15. Let j = k - 167/495. Let o = 2 - 1.8. Which is the third biggest value? (a) o (b) j (c) -0.2
c
Let r = 1.5 + -2. Suppose 5*t + 5 = 5*j, 4*j - 5*j = t - 7. Let k be (-17)/35 - 4/(-14). Which is the second biggest value? (a) k (b) r (c) t
a
Let j = 24 + -10. Let f = 13.9 - j. Which is the second smallest value? (a) 0.1 (b) f (c) -4
b
Let g = 2893/9 - 321. Which is the third biggest value? (a) g (b) -2 (c) -1/2 (d) 0.3
c
Let f = 0.4 + -0.5. Let b = 0.2 + f. Let x = -0.02 - -5.02. What is the third biggest value in x, -1, b?
-1
Suppose r - 6*r - 15 = 0. Let t = r - -4. Let v = -9/2 + 5. What is the third biggest value in t, v, 0.4?
0.4
Let o = -3.5 - -3. Let n = 1.5 - o. Let v be (7 - 138/20)*(-30)/4. Which is the third biggest value? (a) n (b) v (c) -0.3
b
Suppose -2*o + 3*m - 5 = 6, -4*m = -4*o - 12. Let w = 3 + 2. Which is the third biggest value? (a) 3 (b) w (c) o
c
Let x be ((-12)/16)/((-1)/4) - 4. What is the third smallest value in 0.1, -0.3, x?
0.1
Let h = 25 + -15. Let q = h + -6. Let u(z) = z**2 - z. Let v be u(0). Which is the smallest value? (a) v (b) q (c) -1
c
Let c be (-4)/(-26) + 792/(-78). Let s = -6 - c. What is the smallest value in 0.3, s, -0.3?
-0.3
Let v be ((-1)/2)/((-15)/(-30)). Suppose o + 2*g + 11 = 3, 24 = -3*o + g. Let z be ((o/(-10))/2)/3. What is the smallest value in v, 2/11, z?
v
Let m be (5/(-40))/(1/(-2)). What is the third smallest value in m, 0.2, -2/9?
m
Let q = 0.08 - -0.42. Let g = -3 + 2.9. Let k = -0.07 - 0.33. What is the third smallest value in k, q, g?
q
Let s = 30 + -25. Which is the third smallest value? (a) s (b) -1 (c) 0
a
Let o = -30 - -34. What is the second biggest value in -5/4, 3, -2, o?
3
Let i = 0.1 + -1.1. Let r = i - -0.7. Let h = 0.04 + 0.96. What is the second biggest value in 2/3, r, h?
2/3
Let h be 2/4*(-28)/(-77). Which is the second smallest value? (a) 1 (b) h (c) -5
b
Let f be (-2 - -3) + -2 + -4. Let p = 9 + f. Which is the second smallest value? (a) p (b) 1 (c) -0.3
b
Let p = 0.047 - 4.047. What is the fourth biggest value in 2, -1/8, -3, p?
p
Let q = -5.6 + 6. What is the smallest value in 2
|
{
"pile_set_name": "DM Mathematics"
}
|
t m, 1, 0, -4 in ascending order.
-4, 0, 1, m
Let u = -94 + 89. Sort -3, -2, u, -18 in descending order.
-2, -3, u, -18
Let t = -26 - -19. Put 0.5, t, -1 in decreasing order.
0.5, -1, t
Suppose 2*o - 5*y = 1, 5*o - 2*y - 5 = -13. Let a = -8 + 4. Let t(k) = -2*k**3 + 2*k**2 - k. Let u be t(1). Sort u, o, a.
a, o, u
Let f = 1 + 0. Let t = 0.6 - -0.4. Let w = 0 - t. Sort -2/9, w, f.
w, -2/9, f
Suppose s + 3*k = -12, 4*s - 3*k - 15 = -3. Let b be (s - 9/6)*2. Let p be (-22)/(-6) - (-4)/(-6). Sort p, b, 4 in decreasing order.
4, p, b
Let j be (-30)/4*4/6. Let a be (-1)/((j/2)/(-5)). Sort 0, a, 5.
a, 0, 5
Let o = 46 - 48. Sort -4, o, 4 in decreasing order.
4, o, -4
Let h = 20 - 20.2. Put -1/4, h, -4, 2/13 in descending order.
2/13, h, -1/4, -4
Let c = -0.2 - 0.8. Let p = c - -3. Let k(z) = -z**3 - 11*z**2 - 10*z - 3. Let a be k(-10). Sort p, 1, a in descending order.
p, 1, a
Suppose 0 = 4*i - i. Sort 4, i, -3, 0.09 in descending order.
4, 0.09, i, -3
Let g be (-28)/(-35) + ((-98)/(-40))/1. Sort g, 4, -0.1 in descending order.
4, g, -0.1
Suppose 0 = -3*o - 15, o = -4*f - 0*o - 17. Sort 0.4, f, 4 in descending order.
4, 0.4, f
Let c = -2 - -5. Let u = -10 + 7. Sort -2, c, u.
u, -2, c
Suppose 5*z - 1 = -3*n, -17 = 5*n - 2. Suppose -z*u = u - 15. Sort -5, -4, u in descending order.
u, -4, -5
Let k = 0.38 - -0.02. Let i = 112.59 - 112. Let t = 0.19 - i. Put 4, k, t in decreasing order.
4, k, t
Suppose 3*u = -2*u. Sort 1, u, 2 in increasing order.
u, 1, 2
Let g be (-1)/(-1 + 0) - 3. Let k be g/(-2 - 0)*-3. Let q(n) = -2*n + 16. Let x be q(7). Put 1, k, x in descending order.
x, 1, k
Suppose 0 = b + 11 - 6. Let f(z) = -z**2 - 7*z - 5. Let c be f(b). Sort 0, c, -2 in decreasing order.
c, 0, -2
Let f be (3/(-15))/((-12)/(-10)). Let q = 6 + -6. Sort q, -3/4, f in increasing order.
-3/4, f, q
Let q be -3 - -3 - 2 - -2. Sort q, 2, 3 in increasing order.
q, 2, 3
Let b be 80/24*(-6)/5. Put -2, b, -1 in decreasing order.
-1, -2, b
Suppose -4*p - 4 = -0. Let h = -5 + 10. Sort h, 3, p in decreasing order.
h, 3, p
Let l = -96.3 - -96. Sort -1, l, 5 in ascending order.
-1, l, 5
Let p = -1.11 + 0.11. Suppose 0 = 2*r - 3*h - 14, 2*r - 5 = -h + 1. Let d be r/10 + (-69)/(-15). Sort d, p, 1/4 in increasing order.
p, 1/4, d
Let t = -2 - -2. Suppose -4*i - 21 = j + 4, t = -j - 3*i - 20. Suppose 0*s + 3 = 3*s. Sort -4, j, s.
j, -4, s
Let g = 9 + -9. Sort -1, g, -4 in increasing order.
-4, -1, g
Let v = 79 + -78.8. Let r = -5.92 - -6. Put r, 1/6, v in descending order.
v, 1/6, r
Suppose 0 = -2*z + 5*z. Suppose r + r + 2*b - 36 = z, 4*b = -5*r + 88. Suppose 2*y - 2*u - r = -0*y, y = -5*u - 10. Sort y, 1, 4 in increasing order.
1, 4, y
Let z be (6/(-4) - -1)*0. Let p be z - 33/9 - -3. Suppose 3*s = 2*s - 4. Sort 2, p, s in descending order.
2, p, s
Suppose 3*i = 5*z - 9 - 4, 4*i - 4 = -4*z. Sort -5, -2, i.
-5, -2, i
Suppose -4*l - 6 = -4*q + 6, -2*q = -5*l. Let o = -7973/9 - -883. Let m = o - -49/18. Put -0.03, q, m in descending order.
q, -0.03, m
Suppose 3*x = x - 6. Suppose 0 = 19*m - 4*m + 180. Put x, m, 1 in decreasing order.
1, x, m
Let y(b) = -131*b**3 + b - 1. Let m be y(1). Let o = -915/7 - m. Sort o, 2, -5 in ascending order.
-5, o, 2
Let y = -67.1 + 64. Let v = y - 0.9. Put v, -0.5, 0.2 in descending order.
0.2, -0.5, v
Let s = 3.7 - 18.7. Let v = 15 + s. Sort -0.04, v, -2/5 in ascending order.
-2/5, -0.04, v
Let v = -11 + 10.98. Sort -5, 0.1, v in decreasing order.
0.1, v, -5
Let k = 4.996 - -0.004. Sort -0.2, k, -8 in ascending order.
-8, -0.2, k
Let u be ((-12)/(-15))/((-2)/(-5)). Sort 1, u, -3 in increasing order.
-3, 1, u
Let s = 52.4 - 52. Let h = -0.3 - 4.7. Put 0, h, s in descending order.
s, 0, h
Suppose -3*l = 2*n + 36, -2*l - 5 = -l + 3*n. Let u be -1 - (34/l + 1). Let d = 2 - -3. Sort u, d, 3 in increasing order.
u, 3, d
Let c be ((-4)/8)/((-3)/36). Let h be ((-4)/c)/((-3)/(-18)). Sort 3, -5, h in increasing order.
-5, h, 3
Let c = 115/4 + -29. Let m(d) = -13*d - 2. Let j be m(-1). Let k(w) = -2*w + 21. Let b be k(j). Put c, b, 1 in increasing order.
b, c, 1
Let r = 301/6 + -50. Put r, 0.02, -1/3, 2/11 in increasing order.
-1/3, 0.02, r, 2/11
Let a(p) = -p**2 - p + 7. Let k be a(-3). Put 3, 2, k in decreasing order.
3, 2, k
Let r be (-26)/12 - 16/(-8
|
{
"pile_set_name": "DM Mathematics"
}
|
53) + 1 + -2)**2*-5.
-5270 + 90*sqrt(13)
Simplify (-2*sqrt(80) - sqrt(5))**2*3.
1215
Simplify -5*(sqrt(19) - sqrt(931)*2)*-6.
-390*sqrt(19)
Simplify (sqrt(1344) + -2*sqrt(1344) - sqrt(21))/sqrt(3).
-9*sqrt(7)
Simplify (4 + (sqrt(28)/sqrt(4))**2)*2.
22
Simplify -6*(-4 + (1*sqrt(52))/sqrt(4)).
-6*sqrt(13) + 24
Simplify (-4*(sqrt(17) + sqrt(153)) + sqrt(68) + 0)**2.
3332
Simplify (4 + sqrt(5) + (sqrt(5) - (sqrt(15)/sqrt(3))**2))*4.
-4 + 8*sqrt(5)
Simplify ((1*1*sqrt(190))/sqrt(10))**2.
19
Simplify ((sqrt(720)*-1)/((2*sqrt(30))/sqrt(3)))**2.
18
Simplify (sqrt(171)*-1 + -1 + 2)**2.
-6*sqrt(19) + 172
Simplify (((sqrt(78) + 1*sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78))/sqrt(6) - (3 + (sqrt(13) - (2 + sqrt(13)) - sqrt(13))))**2.
-8*sqrt(13) + 209
Simplify ((sqrt(1225) + sqrt(1225) + sqrt(1225) + sqrt(1225) + sqrt(1225)*-1 + sqrt(1225))/sqrt(5) + -4)**2.
-224*sqrt(5) + 3936
Simplify (sqrt(3) + (sqrt(3) - (sqrt(3) + 1))**2 + 2)*2.
2*sqrt(3) + 6
Simplify (-5 + sqrt(51)/sqrt(3) - sqrt(85)/(-2*sqrt(5)))*-1.
-3*sqrt(17)/2 + 5
Simplify (sqrt(117)/((sqrt(54) + sqrt(108)/sqrt(2))/sqrt(6))*1)**2 + -2.
5/4
Simplify (-3*sqrt(162) + sqrt(288) + sqrt(288)*2)**2.
162
Simplify (-3*(-2 + sqrt(72))*6)**2.
-7776*sqrt(2) + 24624
Simplify ((sqrt(260) + sqrt(260)*-2)/sqrt(5))**2.
52
Simplify sqrt(612) + -2*sqrt(612) + sqrt(612) + -4 + (sqrt(612) - 2*sqrt(612)) + 0.
-6*sqrt(17) - 4
Simplify ((sqrt(54)*3)/sqrt(9))/((3*sqrt(15))/sqrt(5)).
sqrt(2)
Simplify (sqrt(2) + sqrt(8)/(sqrt(4) - sqrt(100)))**2 + 3.
33/8
Simplify (3*sqrt(4131))/sqrt(3).
27*sqrt(17)
Simplify (sqrt(1900) + -4)**2*2*-2.
-7664 + 320*sqrt(19)
Simplify sqrt(55)/(sqrt(20)/sqrt(4)*-2).
-sqrt(11)/2
Simplify (-3*-1*sqrt(55))/sqrt(11).
3*sqrt(5)
Simplify ((2*sqrt(210)/sqrt(5))/sqrt(6) + -4)**2.
-16*sqrt(7) + 44
Simplify ((sqrt(68) - 6*(sqrt(68) + sqrt(68) + sqrt(68) + (sqrt(68) - -1*sqrt(68)) + sqrt(68) + sqrt(68))) + sqrt(68))/(sqrt(16)/sqrt(4)*4).
-10*sqrt(17)
Simplify 5*sqrt(2)*1 - sqrt(12)/(sqrt(36)/sqrt(6)).
4*sqrt(2)
Simplify (sqrt(20)*-2)/sqrt(10)*-6.
12*sqrt(2)
Simplify -5*(sqrt(24)/sqrt(432) + sqrt(2) + sqrt(2)).
-65*sqrt(2)/6
Simplify (((1*sqrt(432))/sqrt(12) - sqrt(36))/((sqrt(24) + sqrt(96)/sqrt(4))/sqrt(2)))**2.
0
Simplify (0 + -1 + sqrt(8))**2.
-4*sqrt(2) + 9
Simplify -5*((-2*sqrt(136))/sqrt(4))/(sqrt(50)*1).
2*sqrt(17)
Simplify 2*((sqrt(39)/sqrt(3))**2 + -4)*5.
90
Simplify -2*(-1*sqrt(11))**2 + (-3*sqrt(891) - sqrt(11))**2.
8602
Simplify 3 + (sqrt(288) + sqrt(288)*-2)**2*2.
579
Simplify 1 + sqrt(931) + 4 + (5 + (sqrt(931)*1 - sqrt(931)))**2 + 2.
7*sqrt(19) + 32
Simplify (sqrt(35)/(sqrt(15)/sqrt(3)) + sqrt(7) + sqrt(35)/sqrt(5) + 1)**2.
6*sqrt(7) + 64
Simplify -1 + sqrt(8)/sqrt(4)*-4 + -1*sqrt(2)*-6.
-1 + 2*sqrt(2)
Simplify 1 + -4*sqrt(153) + (sqrt(1377) + -1*sqrt(1377) - sqrt(1377)) + -1.
-21*sqrt(17)
Simplify (sqrt(25)/(sqrt(10)/sqrt(2)))**2 + (2 + 0 + sqrt(5) + sqrt(5) - sqrt(5))**2 + 1 + (2*sqrt(20))/sqrt(4).
6*sqrt(5) + 15
Simplify (-1 + (3*(sqrt(228)*2 - sqrt(228)) + sqrt(228))/(sqrt(108)*-6))**2.
4*sqrt(19)/9 + 157/81
Simplify sqrt(24)/(1*sqrt(8)) + 0.
sqrt(3)
Simplify (sqrt(160) + (sqrt(160)*2 + sqrt(160) - sqrt(160) - sqrt(160)) + sqrt(40))/sqrt(8) + -2.
-2 + 5*sqrt(5)
Simplify (1*sqrt(405) - (sqrt(5) + -1 + 3 + sqrt(5) - sqrt(5)) - ((sqrt(45) - 2*-1*sqrt(45)) + sqrt(45))/sqrt(9))**2.
-16*sqrt(5) + 84
Simplify -4 + (sqrt(300) - (sqrt(300)*2*6 - sqrt(300)))**2 + 0.
29996
Simplify 2 + (-3*1*sqrt(147) + -3)**2.
126*sqrt(3) + 1334
Simplify sqrt(2299) + 2*-1*sqrt(2299) + (sqrt(2299) + 2)*3.
6 + 22*sqrt(19)
Simplify (-5 + sqrt(5)*2 + 4)*3.
-3 + 6*sqrt(5)
Simplify (sqrt(200) + (sqrt(200) - ((sqrt(200) - (sqrt(200) - (-3*sqrt(200))**2)) + sqrt(200))) + sqrt(200))*-2.
-40*sqrt(2) + 3600
Simplify 6*-1*(sqrt(432) + 2)**2.
-2616 - 288*sqrt(3)
Simplify -3*(sqrt(240)/(-2*sqrt(8)))/(sqrt(24)/(sqrt(4)*-1)).
-3*sqrt(5)/2
Simplify -1 + (2*sqrt(6)/sqrt(2) - sqrt(6)/sqrt(2)*5).
-3*sqrt(3) - 1
Simplify (-4*2*sqrt(1700))**2.
108800
Simplify (sqrt(968)*2*-1*4)**2.
61952
Simplify sqrt(70)/(-5*sqrt(20)/sqrt(2)).
-sqrt(7)/5
Simplify 5*-5*sqrt(10)/(sqrt(4)/sqrt(2)).
-25*sqrt(5)
Simplify sqrt(19)*1*-6 + -1*(-1 + sqrt(19))**2 + -3.
-23 - 4*sqrt(19)
Simplify -6*(sqrt(13) + -2*sqrt(208) + sqrt(13))**2 + 1.
-2807
Simplify (2 + -1*sqrt(162)*2)**2.
-72*sqrt(2) + 652
Simplify ((sqrt(320) - (sqrt(320) + -1)) + -2*sqrt(5)*6)**2*-3.
-2163 + 72
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let g = r + 56. Which is smaller: 9 or g?
9
Let u be (4/(-6))/(34/306) - -5. Is u > -5/76?
False
Let r be 11/(3/2 + 99/(-22)). Is -5 smaller than r?
True
Let i = 0.02 - 0.42. Let x = i - -0.8. Let l = 1070.2 + -1070. Which is smaller: x or l?
l
Let o = -50 - -50. Suppose -5*b + 1 - 11 = o. Which is smaller: b or -6?
-6
Let g = -137 - -213. Suppose -1181 = -13*v - g. Which is smaller: v or -1?
-1
Let f = 5 + -4.98. Let u = 1.58 + f. Let o = 0.4 + u. Which is bigger: o or -0.2?
o
Let c be 27/(3 - 12)*(-1)/(-5). Which is smaller: c or -9?
-9
Let m = 9132/11 - 42932/55. Let y = m + -49. Which is greater: y or 1?
1
Suppose 0 = -j + 2*f + 7, 5*f + 10 = -5. Is j smaller than 1/3476?
False
Let w be (20/(-30))/((-10)/107025*5). Which is smaller: 1428 or w?
w
Let i(y) = -5*y + 95. Let s be i(26). Let l be 6 - 3 - 19*2. Are l and s equal?
True
Let z = 169.44 - 169. Which is smaller: -1 or z?
-1
Let q = -762 - -702. Is q at most as big as -27?
True
Let x = 129 - 129.1. Is 36 > x?
True
Let k(j) = j**3 - 5*j**2 - 4*j. Let f be k(5). Let l(s) = 13*s + 12. Let z be l(-7). Let c = z + 58. Is f at most c?
False
Let w = 890 + -620. Let y be ((-4)/w)/(1/3). Does y = 0?
False
Let s = 0.395 - -0.605. Which is greater: s or 27?
27
Let m be ((-30)/(-8))/((-24)/(-128)). Suppose u - 4*n + 8 = -u, -5*u = n + m. Let q be (-16)/9 - u/(-18). Which is smaller: -3 or q?
-3
Let r(u) = u**2 + 5*u + 4. Suppose 0*y = -5*x + y - 15, -2*x = 4*y + 28. Let d be r(x). Let t be 10/36*(-9)/(-30). Which is smaller: t or d?
d
Let b = 69 + -57. Let c be 2/(12/36 + (-1)/b). Let s = -4 + 14. Do s and c have different values?
True
Suppose -y - 2*y = 3*j + 45, -3*j - y = 35. Let p be -1 + -2*(-35)/j. Is 2/3 at most as big as p?
False
Let g = 7655 + -6330683/827. Which is smaller: g or 1?
g
Let k = 2/1827 + -9920/1827. Is -4 > k?
True
Let h(u) = -5 + 5 + u**2 + 3*u**3. Let y be h(1). Let q be -5*(y/(-4) + -1). Is 10 greater than q?
False
Suppose 0 = 2*j + 4*m - 8*m + 6, 3*j - 5 = -m. Suppose -2*q = -4*z + 8, -z - j = 3*q + 11. Which is smaller: z or 2/25?
z
Let k = -31.2 - -31. Is k less than 0.5?
True
Let r = -0.4707 - 0.0293. Which is greater: r or -58?
r
Suppose 44 - 54 = -5*w. Suppose -x + 4*o = -2, w*x = 6*x - 4*o - 56. Is x <= 18?
True
Let c(f) = -f**2 + f + 3. Let x be c(-5). Suppose 4*h + 4*n = -132, -5 = 5*n - 4*n. Let u = x - h. Do u and -2/43 have the same value?
False
Let y = 5.071 + 0.929. Let o = -7.91 + -0.09. Let s = y + o. Which is smaller: -0.01 or s?
s
Suppose -2*t - 15 = t. Let y be 0/(-72) - (2 - (0 - 5)). Which is bigger: y or t?
t
Let o = -95 + 61. Let u = o - -28. Which is bigger: u or -1?
-1
Let v = 19 + -77. Let u = v + 53. Suppose 0 = -3*f, f + f = -2*t - 8. Is u at most t?
True
Let g = 0.19 - 0.141. Let k = -0.051 - g. Do -1 and k have different values?
True
Let c(p) = -p**3 + 16*p**2 - 3*p + 3. Let h be c(15). Are 182 and h non-equal?
True
Let n(b) = -b**3 - 7*b**2 + 8*b + 82. Let z be n(-6). Let v(l) = -l + 1. Let q be v(1). Let y be (7 + -3)*(-1 - q). Is z != y?
True
Suppose 2*z + 4 + 3 = -n, 0 = 5*z - n. Which is bigger: z or -56/73?
-56/73
Suppose -4*z + z - 159 = 0. Let w = z - -55. Is w greater than 3?
False
Suppose -3*b = 4*b + 14. Let o be (2 - b) + (-64)/6. Let v(s) = -2*s**2 + 3*s + 2. Let t be v(3). Which is bigger: t or o?
o
Suppose -30 = 3*r + 3*d, -5*r = d - 0*d + 46. Let z = r + 6. Let t be (z - -4) + -2 + 3. Which is smaller: t or 1?
1
Let p(q) = -q**3 - 40*q**2. Let i be p(-40). Is -7/79 bigger than i?
False
Let n(v) = -v**2 - 4*v + 2. Let d be n(-4). Let o = 294 + -1374. Let h = o + 7578/7. Which is smaller: h or d?
d
Suppose -14*c + 1002 = 13028. Are -858 and c non-equal?
True
Let m = -3.7 - -0.7. Let y = -3.4 + 3.49. Let j = -0.19 + y. Which is bigger: m or j?
j
Suppose 3*d - 25 = -2*h, h - 4*d = -0*h + 7. Let s = h - 10. Let i = 3 + s. Which is smaller: 2 or i?
2
Let q = 1.09 + -0.59. Let b = 0.03 + 6.97. Which is greater: q or b?
b
Let j(t) = 6*t - 2*t - 3*t + 12. Let g be j(-8). Suppose -f + 2*f = 5*u + 7, -4*f + 4 = g*u. Which is bigger: f or 5/6?
f
Let w = 2210/47 - 47. Are w and 0.02 unequal?
True
Suppose 3737 = -6*t - 1195. Is -822 at least as big as t?
True
Suppose 5*w - 4*t + 2 = -3, 0 = 5*t. Is w less than -2/133?
True
Let z = -50/201 + 960/4757. Which is greater: z or -1?
z
Let m(b) = -b - 18. Let p be m(-33). Are 17 and p unequal?
True
Let f(b) = -7*b**3 - 3*b**2 - b - 16. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of 151945.
5, 30389
What are the prime factors of 987207?
3, 13, 17, 1489
List the prime factors of 760918.
2, 380459
What are the prime factors of 2672806?
2, 19, 37, 1901
What are the prime factors of 13590833?
19, 197, 3631
List the prime factors of 1983520.
2, 5, 7, 11, 23
List the prime factors of 580028.
2, 145007
List the prime factors of 5338255.
5, 13, 17, 4831
What are the prime factors of 12567317?
7, 1795331
What are the prime factors of 783451?
797, 983
List the prime factors of 2523700.
2, 5, 25237
List the prime factors of 9335785.
5, 1867157
What are the prime factors of 8224686?
2, 3, 223, 683
List the prime factors of 1047822.
2, 3, 174637
List the prime factors of 155127.
3, 7, 83, 89
List the prime factors of 3268758.
2, 3, 544793
What are the prime factors of 75187?
7, 23, 467
List the prime factors of 516968.
2, 64621
List the prime factors of 10853.
10853
What are the prime factors of 3333879?
3, 79, 521
What are the prime factors of 1522075?
5, 107, 569
List the prime factors of 6723578.
2, 619, 5431
List the prime factors of 641108.
2, 13, 12329
What are the prime factors of 287780?
2, 5, 14389
List the prime factors of 1972731.
3, 17, 47, 823
What are the prime factors of 96872?
2, 12109
What are the prime factors of 3559553?
73, 48761
What are the prime factors of 482528?
2, 17, 887
List the prime factors of 1432008.
2, 3, 19889
List the prime factors of 592431.
3, 7, 28211
What are the prime factors of 433483?
17, 43, 593
What are the prime factors of 4624724?
2, 13, 88937
What are the prime factors of 3901577?
367, 10631
List the prime factors of 326054.
2, 163027
List the prime factors of 1528689.
3, 509563
What are the prime factors of 4390070?
2, 5, 439007
List the prime factors of 1717296.
2, 3, 7, 19, 269
What are the prime factors of 2438271?
3, 11, 2239
What are the prime factors of 8407196?
2, 7, 19, 15803
What are the prime factors of 943843?
943843
What are the prime factors of 8057996?
2, 2014499
What are the prime factors of 38203036?
2, 31, 53, 5813
What are the prime factors of 10251802?
2, 11, 43, 10837
What are the prime factors of 1614775?
5, 64591
List the prime factors of 1300547.
1033, 1259
What are the prime factors of 4432056?
2, 3, 184669
List the prime factors of 458204.
2, 19, 6029
List the prime factors of 1574432.
2, 49201
What are the prime factors of 904058?
2, 19, 37, 643
What are the prime factors of 96959?
96959
List the prime factors of 2443549.
79, 30931
List the prime factors of 889842.
2, 3, 43, 3449
What are the prime factors of 4559815?
5, 13, 29, 41, 59
List the prime factors of 178237.
137, 1301
What are the prime factors of 18247743?
3, 947, 2141
List the prime factors of 326228.
2, 7, 61, 191
What are the prime factors of 1655524?
2, 13, 31, 79
List the prime factors of 241770.
2, 3, 5, 8059
List the prime factors of 283156.
2, 29, 2441
List the prime factors of 305927.
305927
What are the prime factors of 7339447?
7339447
List the prime factors of 374989.
374989
What are the prime factors of 1118498?
2, 17, 67, 491
What are the prime factors of 4166189?
149, 27961
List the prime factors of 2191128.
2, 3, 91297
What are the prime factors of 1968757?
7, 281251
List the prime factors of 400304.
2, 127, 197
List the prime factors of 14450693.
23, 59, 463
List the prime factors of 9522191.
7, 1360313
What are the prime factors of 3084588?
2, 3, 13
List the prime factors of 126332.
2, 31583
What are the prime factors of 763452?
2, 3, 7069
List the prime factors of 1711829.
7, 244547
List the prime factors of 3172035.
3, 5, 211469
List the prime factors of 2455220.
2, 5, 122761
List the prime factors of 13704459.
3, 103, 44351
What are the prime factors of 403378?
2, 139, 1451
What are the prime factors of 384951?
3, 7, 23, 797
List the prime factors of 140758.
2, 70379
List the prime factors of 428164.
2, 11, 37, 263
What are the prime factors of 498554?
2, 7, 149, 239
What are the prime factors of 71823?
3, 89, 269
What are the prime factors of 5896982?
2, 7, 13, 32401
What are the prime factors of 2490915?
3, 5, 7, 3389
What are the prime factors of 675926?
2, 41, 8243
What are the prime factors of 2668862?
2, 7, 190633
What are the prime factors of 253660?
2, 5, 11, 1153
List the prime factors of 2904822.
2, 3, 43, 139
What are the prime factors of 839249?
19, 44171
List the prime factors of 285249.
3, 95083
What are the prime factors of 3447738?
2, 3, 7, 1303
What are the prime factors of 7808030?
2, 5, 780803
List the prime factors of 1004964.
2, 3, 83, 1009
List the prime factors of 7824381.
3, 2608127
List the prime factors of 18690733.
18690733
List the prime factors of 22675.
5, 907
What are the prime factors of 864453?
3, 107, 2693
What are the prime factors of 1984725?
3, 5, 8821
What are the prime factors of 5008515?
3, 5, 31, 10771
List the prime factors of 1022553.
3, 7, 16231
What are the prime factors of 75358?
2, 41, 919
What are the prime factors of 4442757?
3, 11, 12239
List the prime factors of 390898.
2, 17, 11497
List the prime factors of 2601987.
3, 149, 5821
What are the prime factors of 5782758?
2, 3, 963793
What are the prime factors of 11771915?
5, 307, 7669
What are the prime factors of 219626?
2, 11, 67, 149
What are the prime factors of 608516?
2, 149, 1021
What are the prime factors of 540475?
5, 13, 1663
List the prime factors of 2613085.
5, 503, 1039
List the prime factors of 9742347.
3, 29, 163, 229
What are the prime factors of 203890?
2, 5, 20389
What are the prime factors of 75335?
5, 13, 19, 61
What are the prime factors of 2441563?
2441563
What are the prime factors of 9382691?
17, 547, 1009
What are the prime factors of 7307074?
2, 1409, 2593
What are the prime factors of 198761?
198761
List the prime factors of 908055.
3, 5, 17, 1187
List the prime factors of 124
|
{
"pile_set_name": "DM Mathematics"
}
|
he nearest one hundred thousand?
500000
Let g = -60 + 59.929. Let t = -99.972 + 100. Let w = t + g. Round w to two decimal places.
-0.04
Let j(h) = 37481*h - 139. Let g be j(19). What is g rounded to the nearest 10000?
710000
Let d = 120010701909 + -120010710612.87489937. Let b = d - -8704.7449. Let k = b - 0.87. Round k to 7 decimal places.
0.0000006
Let c be 18/(-45) + 19835/25. Round c to the nearest 100.
800
Let g = -4230 - -4444.7. Round g to the nearest 100.
200
Let s = -29.65 - 0.35. Let y = s + 31.76. Round y to 1 dp.
1.8
Suppose s = -0*s + 5*j - 5444, 2*s + 10895 = 3*j. Suppose 10 = 2*g, 5*d - 5*g - 2828 + 18598 = 0. Let t = d - s. What is t rounded to the nearest 1000?
2000
Let s = 6.435 + -5.4. Let n = s - -0.025. What is n rounded to 1 dp?
1.1
Let h = -42.08 - 0.92. Let s = h - -43.0001. Round s to four dps.
0.0001
Let d(x) = 12250*x**2 - 8*x - 34. Let f be d(27). What is f rounded to the nearest 100000?
8900000
Let y = 251 - 452. Let o = -204.54 - y. Let m = 3 + o. Round m to 1 decimal place.
-0.5
Let v = 24551.83688328533 + 0.58280645467. Let f = -24579.41969 + v. Let t = f - -27. Round t to 7 decimal places.
-0.0000003
Let d = -233 - -23. Let t = d + 209.9999719. What is t rounded to 6 decimal places?
-0.000028
Let d = 112 - 112.00000872. What is d rounded to six dps?
-0.000009
Let t = -0.146 + 0.019. Let f = 0.127114 + t. What is f rounded to 5 dps?
0.00011
Let j = 920681 - 3217681. Round j to the nearest one hundred thousand.
-2300000
Let q = 0.08 + 6.52. Let g = q - 5. Let y = g - 1.59905. What is y rounded to four dps?
0.001
Let v = 398 - 397.99999. Round v to 6 decimal places.
0.00001
Let f = -20.1 - -2.1. Let d = f - -18.68. Round d to one decimal place.
0.7
Let o = -10390 + 10390.0000009534. Round o to 7 dps.
0.000001
Let k = 621556.09546 + -621209.1. Let h = 347 - k. What is h rounded to 3 dps?
0.005
Let d = 0.24 + -0.34. Let h = d + 0.099992. Round h to five dps.
-0.00001
Let t = 631 - 425. What is t rounded to the nearest 10?
210
Suppose -5*f + 2*u + 317994 = -6*f, -5*u - 317985 = f. What is f rounded to the nearest 100000?
-300000
Let b(l) = l**3 - 13*l**2 + 7*l + 36. Let q be b(14). What is q rounded to the nearest one thousand?
0
Suppose -4*v = 4*z - 7 - 45, z + 2*v = 17. Suppose 3*g = z, -5*g = -2*w - g + 239988. Round w to the nearest one hundred thousand.
100000
Let v = -1.316 + 1.3160000251. What is v rounded to seven dps?
0
Let q = 785 - 520. Let g = q - 408. Round g to the nearest 10.
-140
Let l = -8.595 - 0.005. Let t = l + 10. Let y = -1.399994 + t. Round y to five decimal places.
0.00001
Let u = -627.000000533 + 627. Round u to seven decimal places.
-0.0000005
Suppose 21*l = -244437243 + 95547243. What is l rounded to the nearest 1000000?
-7000000
Suppose 344997 = -2*l - 3*l - o, o = 4*l + 276003. Round l to the nearest ten thousand.
-70000
Let l be 25/9 - 8/(-36). Let j be -8*(0 + l)/(-12). Suppose -b - 29 = j*c + 63, 0 = 3*c - 3*b + 138. Round c to the nearest ten.
-50
Let i = -1.3 + 0.34. Let v = 0.95999488 + i. Round v to six decimal places.
-0.000005
Suppose 2*k = -3*k - y - 34, 0 = -2*k + y - 8. Let m be 119999 + (-1 + 1 - (5 + k)). What is m rounded to the nearest 10000?
120000
Let k = -1524.999999267 + 1525. What is k rounded to 7 decimal places?
0.0000007
Let q be (101/(-2))/((-14)/2826460). Suppose -31595445 = 2*j - q. What is j rounded to the nearest one million?
-11000000
Let u be (-20)/15*3 + 2624. Round u to the nearest one hundred.
2600
Let b = -0.371 + 0.32. Let n = -0.439 + b. Let o = n - 2.41. What is o rounded to the nearest integer?
-3
Let h = -475.00000137 + 475. Round h to seven decimal places.
-0.0000014
Let p be (-6 + 3)*6/(-9). Suppose 3*q + 4400 = p*q. Round q to the nearest one thousand.
-4000
Let j = 1.25 + 0. Let u = j + -3. Let y = u - -1.75000097. Round y to seven dps.
0.000001
Let s = 0.061 - -2.839. Let f = 3.01 - s. What is f rounded to two dps?
0.11
Let d = 218281 - 217877.092. Let p = -375 + d. Let j = p - 29. What is j rounded to 2 dps?
-0.09
Let m = 6012 - 6012.00004807. Round m to six decimal places.
-0.000048
Let d = 69.41 - 69. Let x = -0.410115 + d. What is x rounded to 5 decimal places?
-0.00012
Let y = 257 - 258.03. Let h = 4.07 + y. Round h to one dp.
3
Let i = -23.600000177 - -23.6. What is i rounded to 7 decimal places?
-0.0000002
Let t = -3612 + 3611.94006. Round t to 2 dps.
-0.06
Let v(m) = 7*m**2 + 5*m + 8. Let z be v(6). Round z to the nearest one hundred.
300
Let b = 50.3 + -51. Let g = b + 0.699981. What is g rounded to five dps?
-0.00002
Let c = 1.219999698 - 1.22. What is c rounded to 7 decimal places?
-0.0000003
Let w(n) = n**2 + 5*n - 8*n**2 - 2 + 4*n**2 + 2*n**2. Let r be w(5). Let l be (4/4)/(r/46). What is l rounded to the nearest ten?
-20
Let m = -3336.119 + 1.119. Let y = 3381.076 + m. Let s = y + -46. What is s rounded to 2 dps?
0.08
Let a = -17099.007457 + 17099. What is a rounded to three decimal places?
-0.007
Let d = 112.1 + -129. Let v = 17.77 + d. Round v to 1 decimal place.
0.9
Suppose 0 - 3 = -r. Suppose -r*u
|
{
"pile_set_name": "DM Mathematics"
}
|
ate the remainder when (-4)/((-3)/(-159)*-2) is divided by l.
16
Let d = 33 + 4. Calculate the remainder when 5 is divided by (-2)/18 + d/9.
1
Suppose x = 3*x - 48. Suppose 5*c + 11 = 5*q - x, 5*c + 24 = 4*q. Suppose u = -u + 40. What is the remainder when u is divided by q?
9
Let n(b) be the first derivative of -b**3/3 + b**2/2 + 13*b - 7. Suppose r + 0*r - 24 = 0. Calculate the remainder when r is divided by n(0).
11
Let h = 1 + 1. Let c(f) be the first derivative of f**4/4 - 14*f**3/3 + 15*f**2/2 - 19*f + 2. What is the remainder when c(13) is divided by h?
1
Suppose -6 + 0 = -3*m. Let n(t) = 19*t - 9. Calculate the remainder when n(m) is divided by 3*1*(-8)/(-3).
5
Suppose 4*n + 5*v = 6*v + 806, -5*v = -2*n + 394. What is the remainder when n is divided by 17?
15
Suppose 4*n - 59*n + 820 = 27*n. Let l(i) = -16 - 9*i + 6 + 0*i**2 - i**2. Calculate the remainder when n is divided by l(-7).
2
Let a(p) = -24*p**3 + 3*p**2 + p - 1. What is the remainder when 96 is divided by a(-1)?
21
Let v(q) = -q**2 - q + 7. Let l = -4607 + 4634. What is the remainder when l is divided by v(0)?
6
Let g(p) = 5 + 0 + 7 + p**2. Let f be 3/((-18)/(-4)) - 60/90. Calculate the remainder when 21 is divided by g(f).
9
Let a(y) = y + 15. Let o = -163 - -368. Let d = o + -147. Calculate the remainder when d is divided by a(0).
13
Let l = 25 - 17. Let q = 9 - l. Let p(m) = 4*m + 2. Calculate the remainder when 9 is divided by p(q).
3
Calculate the remainder when 5/(15/(-21)) + 197 + 4 is divided by 61.
11
Calculate the remainder when 338 is divided by (-12)/(-8) + 5/(-20)*-70.
15
Let k(b) = b**2 - 8*b + 3. Let w be k(7). Let z be (-159)/w + (-3)/(-12). Suppose x + z = 6*x. What is the remainder when 22 is divided by x?
6
Calculate the remainder when 141 is divided by 1827/(-27)*-1 + (-2)/(-6).
5
Let r(p) = 168*p - 1314. Calculate the remainder when r(9) is divided by (-238)/(-6) + 2/6.
38
Let c be (-52)/(-14) + (-2)/(-7). Let s(x) = x**3 + 2*x**2 - 6*x. Let i be s(5). Suppose i = m + c*m. What is the remainder when m is divided by 10?
9
Let a(q) = q**3 + 23*q**2 + 72*q - 47. Calculate the remainder when 433 is divided by a(-19).
27
Suppose -11 = -2*h - 5*r, 3*h - 5*h = -4*r - 38. Calculate the remainder when h is divided by 13.
0
Let u(w) = -w**3 + 2*w**2 + 9*w - 2. Let q be u(4). Suppose 5*a - 39 = q*g, 2*g + 24 = 4*a - 2*g. Calculate the remainder when 32 is divided by a.
5
Let o(k) = -k**3 - k**2 + k + 8. Suppose 206*f - 215*f + 27 = 0. Calculate the remainder when o(0) is divided by f.
2
Let s(o) be the third derivative of -o**4/6 + 41*o**3/6 + 24*o**2 + o. Calculate the remainder when s(8) is divided by 3.
0
Let w = 2 + -5. What is the remainder when 43 is divided by (0 + -12)/(w + 6 + -4)?
7
Suppose 5*t - 4*t = -73. Let v = t - -106. Calculate the remainder when v is divided by 20.
13
Let y be 0/(-2)*(0 + 1). Let r = -174 + 196. What is the remainder when r is divided by -18*((-2)/3 + y)?
10
Let y(h) = h**2 - 110*h + 167. Calculate the remainder when y(0) is divided by 164/6 - 2/(-3).
27
Suppose 5*y - 315 = -95. Calculate the remainder when y is divided by ((-27)/((-9)/(-3)))/(-8 - -7).
8
Suppose -4*c - 6 = 2, 4*t - 4*c + 312 = 0. Let k = -148 - t. What is the remainder when (-1309)/k + (-3)/(-4) is divided by 7?
6
Let o(u) = u**3 + 5*u**2 - 29*u - 23. Calculate the remainder when o(-7) is divided by 12.
10
Let d = 43 + -30. Suppose 0 = 12*k - 706 - 62. What is the remainder when k is divided by d?
12
Suppose -5*z = 5*r - 40, -20 = 5*z - 0*z. What is the remainder when r is divided by (-1)/((-8)/12)*(-4)/(-2)?
0
Let k(y) = y**3 + 11*y**2 - 25*y + 51. Calculate the remainder when k(-12) is divided by 42.
39
Suppose 0 = 4*g - 39*g + 6265. What is the remainder when g is divided by 37?
31
Suppose -29 = -4*d - 5. Suppose -2*t = -8, -6*f = -3*f + 5*t - 26. Suppose -5*l - n = -5, 5*l + 4*n - f*n = 0. Calculate the remainder when d is divided by l.
0
Let s = 2167 - 648. What is the remainder when s is divided by 13?
11
Let q = 23 + 16. Suppose 18 = -c + 2. Let g = c - -26. What is the remainder when q is divided by g?
9
Let r = 18 - -20. What is the remainder when 143 is divided by r?
29
Let j(o) = 2*o**2 + 7*o - 4. Let z be j(-4). Suppose -10*c + 11*c - 2 = z. What is the remainder when 2 is divided by c?
0
Suppose -7*m = -2*m + 5. Let x be 1*15/1*m. What is the remainder when 55 is divided by 18/x*(-140)/12?
13
Suppose 3*d + 134 = d. Let c(u) = -u**3 + u**2 - 4*u - 129. Let x be c(0). Let h = d - x. Calculate the remainder when h is divided by 13.
10
Let v be ((-2)/(-6))/((-4)/2364). Let z be (-9)/(-15) + v/(-5). What is the remainder when 0/4 + z + 0 is divided by 21?
19
Suppose -2 = -10*d + 9*d. Suppose a = d*r - 133, -r - a + 69 = -2*a. What is the remainder when r is divided by 13?
12
Suppose -236475 = -71*l - 22481. Calculate the remainder when l is divided by 58.
56
Suppose 0 = -6*u + u + 305. Suppose -4*d = -3*d + 3*o - 19, -20 = -d - 4*o. Calculate the remainder when u is divided by d.
13
Suppose -4*h + 23 = y - 32, -3*y + 123 = -2*h. Calculate the remainder when 385 is divided by y.
41
Let u(m) = -4*m - 38. Let z(r) = -4*r**2 + 4*r - 3. Let g be z(2). Calculate the remainder when 10 is divided by u(g).
4
Let c(w) = 294*w - 335. What is the remainder when c
|
{
"pile_set_name": "DM Mathematics"
}
|
et z = 9 - v. What is the units digit of z?
5
Let a(g) = -g**3 + 2*g**2 + 34*g + 8. What is the units digit of a(-5)?
3
Let a(h) = -2*h - 7. Let k be a(-5). Suppose -k*z = -7 - 8. Suppose -z*i + 173 = 4*g, 2*g + g + i - 138 = 0. What is the units digit of g?
7
Suppose 0 = q, -2*a + 127 + 269 = -3*q. What is the tens digit of a?
9
Suppose t + 3*g + 9 = 0, -3*t + 16 = -4*g + 4. Suppose -3*m + 59 = -0*j - 5*j, 5*m + 2*j - 150 = t. Suppose -203 + m = -5*b. What is the units digit of b?
5
Suppose -4*c = 18*q - 17*q - 1579, -5*c - 3119 = -2*q. What is the hundreds digit of q?
5
Suppose -12*v = -4506 - 7086. What is the tens digit of v?
6
Let c(h) = 9*h + 20 - 22*h + 8*h - 23*h. What is the units digit of c(-4)?
2
Let k(g) = g**3 - 26*g**2 - 83*g - 40. Let u be k(29). Suppose 2*m + 60 = u. What is the units digit of m?
8
Let t = 158 + -156. Suppose -4*r + 371 + 460 = 5*j, t*r - 420 = -4*j. What is the hundreds digit of r?
2
Suppose -5*y + 22 = 2. Let o be -2 + 2 + -4 + y. Suppose o = -v - 0 + 48. What is the tens digit of v?
4
Let i = 2499 - 1080. What is the tens digit of i?
1
Suppose -9*l + 4312 = -2276. Suppose 9*d - 267 - l = 0. What is the hundreds digit of d?
1
Let l = 247 + -92. Let j = l - 31. What is the hundreds digit of j?
1
Suppose 40 = n + 22. What is the tens digit of 98/(-1)*(-9)/n?
4
Let i(v) = 3*v**2 - v. Let y be i(-1). Let g be (y/(-2))/(9/18). Let q = 12 + g. What is the units digit of q?
8
Suppose 0 = -2*v + 45 + 1. Let l = 84 - v. Suppose 4*x - l = 5*a, -2*x - 4*a = -a - 47. What is the units digit of x?
9
Let m(c) = -c**2 + 7*c - 5. Let b be m(6). Suppose -d = -48 - b. What is the units digit of d?
9
Suppose -d + 554 = -5*s, -d + 6*d + 200 = -2*s. What is the hundreds digit of 1/(2/6)*(-27 - s)?
2
Suppose -2*u - 5*u + 168 = 0. Let o = 25 - u. What is the units digit of o?
1
Let p(r) = 127*r**2 + 48*r - 151. What is the hundreds digit of p(3)?
1
Let s be 18*2*4/16. What is the tens digit of 3*-60*(-2)/s?
4
Suppose 70*f - 87204 - 5196 = 0. What is the thousands digit of f?
1
Let q be ((-18)/(-27))/(2/9). Suppose -5*s = j - 145, -q*j + 0*s + 3*s = -453. What is the tens digit of j?
5
Suppose -18*j = -21*j + 15. Suppose -4*f - j*o + 111 = -2*f, 4*f - 3*o - 287 = 0. Suppose 4*s = y - f, 4*y + 5*s - 4*s - 289 = 0. What is the units digit of y?
2
Suppose -4*j = -3*g - 2 - 28, 2*j = 4*g + 20. Suppose -w = -j*w. Suppose -2*t - 5*y = -83, w*y = -3*t + 3*y + 93. What is the units digit of t?
4
Let h be 28/(-20) + (-6)/(-15). What is the tens digit of h/(-6) + (-357)/(-18)?
2
Suppose -243*g + 236*g = -12208. What is the units digit of g?
4
What is the hundreds digit of (-64440)/(-44) - ((-244)/(-44) - 5)?
4
Let l(u) = 12*u - 1. Suppose 4*x - 6 = 14. Suppose 0 = x*i - 5 - 0. What is the tens digit of l(i)?
1
Let r = -5 + -93. Let a = 170 + r. Suppose -a = -6*f + 2*f. What is the units digit of f?
8
Suppose -4*i = -7*i - 48. Let w = i + 50. What is the tens digit of w?
3
What is the hundreds digit of -2*(-3)/6*607?
6
Suppose 5*z - 36 = m, 0 = 30*z - 27*z. Suppose -x + 0*x - 3 = 0. What is the tens digit of 16/x*459/m?
6
Let a = -1 + 6. Suppose a*l = 3*l + 10. Suppose 0 = -l*k + 6*k - 44. What is the units digit of k?
4
Suppose v - 25 = 55. Let g = -39 + v. What is the units digit of g?
1
Let w = 3082 + -2157. What is the units digit of w?
5
Let i(t) = -t**2 + 16*t - 21. Let b be i(13). What is the units digit of 2508/b + 6/9?
0
Let l(b) = -3*b**2 - 4220*b + 2*b**2 + 4216*b + 15*b**3. What is the units digit of l(2)?
8
Let i(z) = 2*z**3 - z**2 - 2*z - 2. Let o(g) = g**2 - 5*g + 3. Let j be o(5). Let a be i(j). Let q = a + -26. What is the tens digit of q?
1
What is the units digit of (548 - (-1 - 7)) + 1?
7
Let d = -577 - -1049. What is the hundreds digit of d?
4
Let a = 104 - 101. Suppose -5*s + 3*d + 907 = 0, -2*s + a*d + 0*d = -370. What is the units digit of s?
9
Suppose -a - 7 = -5*n, n = 5*a + 5 + 6. What is the tens digit of (52/(-8) + -1)*(n + -3)?
1
Let n(z) be the first derivative of 43*z**2/2 + 2*z - 22. What is the units digit of n(1)?
5
Let s(c) be the first derivative of c**4/4 - 5*c**3/3 - 4*c**2 - 11*c + 4. What is the units digit of s(7)?
1
Let s be 8 - 4 - (-1 + 2). Suppose 2*u = 2*o + u - 101, -5*u - 155 = -s*o. What is the units digit of o?
0
Suppose -2*b = -z + 2, z - 1 - 1 = 0. Let l(h) = 2*h**2 + 33. What is the units digit of l(b)?
3
Let q = -2 - -14. Let t = -6 + q. Suppose -3*i - t = -5*i. What is the units digit of i?
3
Suppose -3*o = -2*y + 823 - 155, 2*o - 327 = -y. Suppose 3*z + 16 = y. What is the tens digit of z?
0
Let a(v) = 4*v**2 + 34*v. What is the units digit of a(-13)?
4
Let x be 3*(1 + (-115)/15). What is the tens digit of (-4 - 1)*264/x
|
{
"pile_set_name": "DM Mathematics"
}
|
three letters picked without replacement from {i: 1, m: 1, e: 3, n: 2, p: 3, y: 1}.
1/330
Calculate prob of sequence vqu when three letters picked without replacement from {v: 1, w: 2, q: 2, e: 4, u: 6, p: 4}.
2/969
Calculate prob of sequence uu when two letters picked without replacement from {z: 1, t: 11, u: 7}.
7/57
What is prob of sequence mt when two letters picked without replacement from {g: 4, m: 4, a: 2, t: 9}?
2/19
What is prob of sequence rij when three letters picked without replacement from brbribwwjrrrr?
1/286
What is prob of sequence gl when two letters picked without replacement from {p: 6, g: 5, l: 2, t: 1, d: 3}?
5/136
Two letters picked without replacement from bbssbbbsqbbbqbb. What is prob of sequence sq?
1/35
Calculate prob of sequence qhxx when four letters picked without replacement from {r: 1, h: 1, p: 1, q: 2, x: 2}.
1/210
What is prob of sequence dd when two letters picked without replacement from dddd?
1
Three letters picked without replacement from {k: 1, p: 4, v: 12, x: 3}. Give prob of sequence kpv.
2/285
Calculate prob of sequence idv when three letters picked without replacement from {v: 1, t: 3, f: 7, d: 2, i: 7}.
7/3420
Two letters picked without replacement from uneeeniieuiiixi. Give prob of sequence iu.
2/35
Four letters picked without replacement from {x: 1, n: 14}. What is prob of sequence nnnn?
11/15
Two letters picked without replacement from udjih. Give prob of sequence dj.
1/20
Three letters picked without replacement from {h: 1, y: 1, c: 2, l: 2, a: 1}. Give prob of sequence lca.
2/105
Two letters picked without replacement from ynyznnzznnyy. What is prob of sequence zy?
1/11
Three letters picked without replacement from {t: 1, q: 1, i: 8, f: 8}. What is prob of sequence qft?
1/612
Calculate prob of sequence pzx when three letters picked without replacement from zxzzzaxzzyxps.
3/286
What is prob of sequence yyx when three letters picked without replacement from ysyxssgxgsxsy?
3/286
Four letters picked without replacement from vvvervrrrrvvevrvv. What is prob of sequence eerr?
1/952
What is prob of sequence bnbt when four letters picked without replacement from tbbnnab?
1/70
What is prob of sequence xyx when three letters picked without replacement from {o: 3, y: 1, f: 6, x: 6, h: 2}?
5/816
What is prob of sequence mmxm when four letters picked without replacement from {l: 3, x: 1, v: 3, m: 4}?
1/330
Two letters picked without replacement from {h: 13, i: 1, f: 3}. Give prob of sequence ih.
13/272
Calculate prob of sequence xtzf when four letters picked without replacement from {f: 3, t: 6, x: 1, z: 5}.
1/364
Two letters picked without replacement from {o: 1, u: 1, l: 1, j: 1, p: 2, i: 1}. Give prob of sequence po.
1/21
Calculate prob of sequence qrrx when four letters picked without replacement from {r: 5, x: 6, v: 6, q: 1}.
1/612
Three letters picked without replacement from wwwwwwwwwwxww. Give prob of sequence xww.
1/13
What is prob of sequence hc when two letters picked without replacement from tcctcchhchchcthch?
3/17
Two letters picked without replacement from fxafgggxghhcg. Give prob of sequence ac.
1/156
Two letters picked without replacement from {r: 1, i: 1, f: 1, l: 2, s: 2, n: 1}. Give prob of sequence ln.
1/28
Three letters picked without replacement from {f: 2, i: 2, y: 4}. Give prob of sequence yfi.
1/21
Calculate prob of sequence go when two letters picked without replacement from {d: 3, o: 1, g: 3, q: 3}.
1/30
Calculate prob of sequence puu when three letters picked without replacement from upiuuyiuuuxiuxui.
1/60
What is prob of sequence gzg when three letters picked without replacement from {k: 1, d: 1, g: 4, z: 2, o: 8}?
1/140
Calculate prob of sequence wctw when four letters picked without replacement from wzcztwzwzczzzw.
1/1001
What is prob of sequence ti when two letters picked without replacement from iuizuiiccctuiuiuuc?
1/51
What is prob of sequence qg when two letters picked without replacement from {b: 6, r: 3, g: 2, k: 5, q: 2}?
2/153
What is prob of sequence ee when two letters picked without replacement from heedqqdqeeqehqqdqeeq?
21/190
What is prob of sequence wf when two letters picked without replacement from dwwwdwddwfwf?
1/11
What is prob of sequence pv when two letters picked without replacement from {p: 3, v: 2, j: 1, m: 5, g: 6}?
3/136
What is prob of sequence by when two letters picked without replacement from {b: 4, y: 1, r: 2}?
2/21
Four letters picked without replacement from eeeeewewwwwee. What is prob of sequence eeww?
28/429
Four letters picked without replacement from {d: 5, r: 8}. Give prob of sequence rrdd.
28/429
What is prob of sequence ywhm when four letters picked without replacement from hhyhhmhwy?
5/1512
Calculate prob of sequence hxv when three letters picked without replacement from {x: 1, v: 1, q: 2, h: 1}.
1/60
What is prob of sequence rjy when three letters picked without replacement from mrjfhyrj?
1/84
Calculate prob of sequence ff when two letters picked without replacement from ftffqtqqtffftqff.
7/30
Four letters picked without replacement from {i: 1, y: 2, m: 2, n: 1, c: 1}. Give prob of sequence mmci.
1/420
Calculate prob of sequence dd when two letters picked without replacement from {d: 7, n: 2}.
7/12
Two letters picked without replacement from {u: 2, d: 2, a: 4}. Give prob of sequence ua.
1/7
What is prob of sequence gw when two letters picked without replacement from naaaaagzwnng?
1/66
What is prob of sequence ia when two letters picked without replacement from {a: 5, i: 15}?
15/76
Four letters picked without replacement from jjljjojjjljljjlollj. Give prob of sequence jjjl.
165/2584
Calculate prob of sequence yiji when four letters picked without replacement from {i: 2, y: 4, w: 7, j: 1}.
1/3003
Four letters picked without replacement from wocrrnt. What is prob of sequence tcwr?
1/420
Two letters picked without replacement from {r: 2, y: 1}. What is prob of sequence ry?
1/3
Calculate prob of sequence ccff when four letters picked without replacement from {f: 9, c: 10}.
45/646
Calculate prob of sequence idjj when four letters picked without replacement from {b: 1, d: 6, i: 3, z: 1, j: 4}.
3/455
Calculate prob of sequence yi when two letters picked without replacement from {f: 1, p: 1, j: 1, i: 2, y: 1, h: 1}.
1/21
Calculate prob of sequence jlb when three letters picked without replacement from cjcbjcllbccbljbcj.
1/85
What is prob of sequence fp when two letters picked without replacement from {y: 2, f: 8, x: 3, p: 4}?
2/17
What is prob of sequence bt when two letters picked without replacement from tbttbtbptb?
2/9
Calculate prob of sequence lgs when three letters picked without replacement from {s: 2, g: 1, l: 4}.
4/105
|
{
"pile_set_name": "DM Mathematics"
}
|
e 3*a - 20*a + 68 = 0. Suppose 0 = -3*h + 4*p + 11 + 8, 3*h + a*p - 59 = 0. Let i = -57 + h. Is i at most -43?
True
Let j be 6/(2*(-48)/(-736)). Which is smaller: j or 44?
44
Suppose 3850 = -426*w + 365*w - 7557. Do w and -185 have the same value?
False
Suppose -3*k - q = -6*k - 1193, 3*q = k + 411. Let h be (-2)/18 - (-11)/(k/(-6376)). Is -0.1 less than or equal to h?
True
Let h = 268 + -240. Suppose -h = -16*m + 9*m. Is 4 smaller than m?
False
Let y = -576/5 - -231/2. Let w = 215 - 238.2. Let z = w + 23. Which is bigger: z or y?
y
Let r be (-19 - (-3710)/196)/((-4)/16 - 0). Let q(j) = j**2 - 5*j + 3. Let g be q(6). Let x be ((-3)/18)/((-2)/g). Do r and x have the same value?
False
Let b(h) = 42*h + 207. Let y be b(4). Which is smaller: 372 or y?
372
Let w = 228002 + -26676046/117. Is w equal to 3?
False
Let x = 27448 + -32316. Which is bigger: x or -4865?
-4865
Let v(i) = -546*i - 776. Let f be v(-7). Is f at least 3045?
True
Let k = -62570 + 187708/3. Let d be (78/38 + -2)*-3. Which is bigger: d or k?
d
Let g be ((2/(-3))/((-8)/132))/((-174)/348). Let r(s) = 7*s + 5. Suppose -5*o - 7 = y - 2*o, 2*o + 18 = -4*y. Let z be r(y). Which is greater: g or z?
g
Suppose t + 31 = 38, 2*f - t + 6313 = 0. Which is smaller: -3154 or f?
-3154
Suppose 34*a + 66 = a. Let r be (-9)/(-324)*9*a. Which is bigger: -1 or r?
r
Let x = -83 + 24. Let g = -50 - x. Suppose -g*m = m + 30. Which is bigger: -6 or m?
m
Let i = -0.2 + 0.5. Let g = 213 + -212.9585. Let u = 16.9585 + g. Are i and u non-equal?
True
Suppose 142 = -5*r + 3*j - 235, 0 = -5*r + 2*j - 373. Let v = 55 - 130. Which is bigger: v or r?
r
Let h = 2676845/48162 + -31/2094. Is h less than 57?
True
Let o = 58 - 56. Suppose -3*f - 17 = -o*n, 0*f - 4*f = -3*n + 25. Let w = 109 + -101. Is w > n?
True
Let n = -7 - -4. Suppose 0 = -0*o - 2*o - c + 4, 3*c = 0. Let u be (o + n)*(3 - -4). Which is bigger: -4 or u?
-4
Let r be (-11)/88*12/990. Does 0 = r?
False
Suppose -8*u + 576 = u. Let g = -28 + u. Let k be 4/g*(-3)/2*-86. Is k at most 14?
False
Let l = -124 - -182. Let c = 61 - l. Let f be c/((-45)/(-12)) - (-1)/5. Which is bigger: f or 1/15?
f
Let s = -72791/5 + 14700. Is 142 >= s?
True
Let z = 21911 + -21910. Let o = 57021/35 - 1629. Are z and o equal?
False
Let i = 6202349416/11194819 + 52/211223. Let f = i + -554. Let p = -4304 + 4305. Which is bigger: p or f?
p
Let h(u) = 9*u + 2. Let z(f) = -5*f - 3. Let x be z(-1). Let t be h(x). Suppose 8 = 2*c + 2*c, -4*c = -4*b - t. Are b and 3 nonequal?
True
Let o(a) = 3*a**2 - 6*a - 35. Let h be o(-3). Let j be (h/(-6))/(70/(-1008)). Is j <= 0.05?
False
Let m be 4/6*(0 + 4/8). Suppose 3*c + 8 = -w, -4*w = -2*w + 2*c. Suppose b - 9 = -2*b + w*v, b - 5*v = 14. Which is smaller: m or b?
b
Let i = 0.01 - 0.003. Let r be 33 - (-8 + 9429/231). Is i != r?
True
Let w = -21.831 + 21.3. Let g = -0.231 - w. Do g and -3.9 have the same value?
False
Let g(k) = k - 15. Let i be g(17). Let u be 3/4 - (-18)/(-24). Suppose -4*l - 3 = 4*o + l, 3*l - 3 = u. Is o at most i?
True
Let o = 110 + -112. Let f be (10/15)/(o/3) + -9. Which is bigger: -13 or f?
f
Let d = -3509 + 3807266/1085. Suppose -3*b + 3*b = 3*b. Is b less than d?
True
Let j = -4/15299 + -72867/13876193. Is 1 smaller than j?
False
Let a = -127.69 - -127.69. Do a and 27.48 have different values?
True
Let k = 0.035 - 47.035. Let r = -5.61 - -37.61. Let x = k + r. Which is smaller: x or -2/7?
x
Suppose 4*i - 45 = 3*r + 391, i + 446 = -3*r. Is r less than or equal to -152?
False
Suppose -84*o + 81*o = 561. Let q(l) = -l**2 - 44*l + 229. Let t be q(-52). Is t >= o?
True
Let z(t) = 5*t**2 + 2*t - 1. Let b be z(4). Let k = b - -24. Let i = 105 - k. Is i less than -7?
False
Let x = 12773 + -12772. Which is smaller: 141 or x?
x
Let p be ((-87)/54)/(62/(-34)). Let t = 1/186 + p. Let n(j) = j + 1. Let y be n(1). Does t = y?
False
Let a = 171.5 + -172. Let y = 0.6 + a. Which is greater: y or 74?
74
Let g be 586/2*((-12 - -1) + 8). Which is smaller: -876 or g?
g
Let n be (3/7)/(20/(-42)). Let y = 114211/3 - 38070. Which is smaller: y or n?
n
Let c be (6 + -7)/(1*(30/155)/6). Which is greater: c or -51?
c
Suppose -5*z + 20*q = 17*q - 62, -3*q = 5*z - 38. Let c be (75/z)/(-15)*82. Is c at least -41?
True
Let d = 60 + -53. Suppose 3*x + x = -4*x. Let j be 4 + (-4 - x) + d/(-3). Which is smaller: -8 or j?
-8
Let m be (4 - 4/5)*(-7465)/(-2). Is m smaller than 11943?
False
Let o(v) = v**3 + 7*v**2 + 3. Let n be o(-5). Let j = n + -49. Suppose c + j*c - 4*p = 95, -70 = -4*c + 2*p. Are c and 15 equal?
True
Suppose -1 = -3*g -
|
{
"pile_set_name": "DM Mathematics"
}
|
ee letters picked without replacement from zarzaazazrar. Give prob of sequence rra.
1/44
What is prob of sequence ys when two letters picked without replacement from {h: 2, y: 1, w: 8, s: 2}?
1/78
Four letters picked without replacement from yyhmm. What is prob of sequence myym?
1/30
Two letters picked without replacement from egdggggggggyyrggsed. Give prob of sequence se.
1/171
What is prob of sequence yg when two letters picked without replacement from {i: 2, y: 8, j: 2, g: 1}?
2/39
Four letters picked without replacement from eeezeeeaeazzzeszec. Give prob of sequence azzz.
1/612
Three letters picked without replacement from dyyydgy. Give prob of sequence ddy.
4/105
Four letters picked without replacement from yuvuuqquyyqyzqwqzuuy. Give prob of sequence zwvq.
1/11628
Two letters picked without replacement from llll. Give prob of sequence ll.
1
Three letters picked without replacement from {v: 2, n: 1, p: 4, g: 2}. What is prob of sequence gpp?
1/21
Two letters picked without replacement from {z: 4, r: 1, k: 3, l: 3}. Give prob of sequence kz.
6/55
What is prob of sequence aaii when four letters picked without replacement from yaaljlrjirirri?
1/2002
Calculate prob of sequence is when two letters picked without replacement from fdafxsfssfafaiddf.
3/272
Two letters picked without replacement from {z: 1, o: 1, f: 1, r: 2, d: 1, q: 1}. Give prob of sequence dd.
0
Four letters picked without replacement from {c: 6, b: 1, p: 8}. Give prob of sequence bccc.
1/273
Four letters picked without replacement from wtwtttt. Give prob of sequence ttwt.
1/7
Calculate prob of sequence kl when two letters picked without replacement from {l: 7, m: 1, j: 3, k: 1}.
7/132
Three letters picked without replacement from {x: 6, h: 2, i: 1, l: 1, y: 5}. What is prob of sequence hyi?
1/273
Four letters picked without replacement from yyyyuyuyuytyyv. Give prob of sequence yuvu.
9/4004
Four letters picked without replacement from {o: 4, d: 1, h: 1, u: 2, g: 2, v: 2}. Give prob of sequence hvdv.
1/5940
Three letters picked without replacement from iiiiiliiiiiiiliiiili. Give prob of sequence lii.
34/285
Calculate prob of sequence aa when two letters picked without replacement from {s: 1, f: 2, a: 9, u: 8}.
18/95
Four letters picked without replacement from xguxgxxxjgd. What is prob of sequence xdug?
1/528
Two letters picked without replacement from qqquhmqqqqquq. What is prob of sequence qu?
3/26
Three letters picked without replacement from {n: 3, z: 2, i: 7}. Give prob of sequence zni.
7/220
Three letters picked without replacement from {s: 3, k: 3}. Give prob of sequence skk.
3/20
Four letters picked without replacement from ddxxjdidn. Give prob of sequence xijd.
1/378
What is prob of sequence dp when two letters picked without replacement from eeqeqqhdeqpqeephep?
1/102
What is prob of sequence ig when two letters picked without replacement from {g: 9, w: 4, i: 2, x: 3}?
1/17
Two letters picked without replacement from {s: 2, u: 2}. What is prob of sequence us?
1/3
Three letters picked without replacement from yyyvgygyhvvytgvtvtbh. Give prob of sequence hyg.
1/190
Calculate prob of sequence qpj when three letters picked without replacement from spzsppspzjq.
2/495
What is prob of sequence wu when two letters picked without replacement from {d: 1, n: 13, u: 2, w: 1, z: 3}?
1/190
Calculate prob of sequence qq when two letters picked without replacement from {u: 2, m: 1, f: 5, q: 11}.
55/171
Calculate prob of sequence eam when three letters picked without replacement from {x: 1, e: 3, r: 4, a: 6, c: 4, m: 1}.
1/323
Three letters picked without replacement from nnnnnrrnrnn. What is prob of sequence rnr?
8/165
Two letters picked without replacement from iivkiivvkv. What is prob of sequence ik?
4/45
Calculate prob of sequence ai when two letters picked without replacement from {s: 1, i: 1, v: 1, a: 1, h: 1}.
1/20
Four letters picked without replacement from {p: 1, a: 12, i: 6}. What is prob of sequence piip?
0
Two letters picked without replacement from zzuz. What is prob of sequence uz?
1/4
Three letters picked without replacement from {w: 1, u: 11}. Give prob of sequence uwu.
1/12
Four letters picked without replacement from opppslpl. What is prob of sequence ollp?
1/210
Two letters picked without replacement from {k: 13, u: 3}. What is prob of sequence kk?
13/20
Four letters picked without replacement from snsiiinsnns. Give prob of sequence iini.
1/330
Three letters picked without replacement from {p: 15, j: 3}. What is prob of sequence jpj?
5/272
What is prob of sequence cxxb when four letters picked without replacement from cccxcbcbbxbxxccc?
4/455
What is prob of sequence wj when two letters picked without replacement from {r: 2, h: 1, q: 3, w: 1, j: 3, d: 3}?
1/52
Four letters picked without replacement from yyttyyyyyyyyyyyyyyy. What is prob of sequence ytyy?
5/57
Two letters picked without replacement from {v: 3, o: 3, i: 1, d: 2, p: 1}. What is prob of sequence dv?
1/15
Three letters picked without replacement from {l: 2, c: 1, i: 7, o: 1, q: 4, h: 3}. Give prob of sequence ohh.
1/816
Four letters picked without replacement from dnnlddnl. Give prob of sequence nnnl.
1/140
What is prob of sequence prp when three letters picked without replacement from {r: 1, p: 3, g: 3, i: 2, h: 1}?
1/120
What is prob of sequence fd when two letters picked without replacement from {e: 6, d: 3, c: 2, a: 3, f: 1}?
1/70
Calculate prob of sequence uiq when three letters picked without replacement from {u: 2, q: 8, i: 5, o: 1, e: 2}.
5/306
Calculate prob of sequence za when two letters picked without replacement from qlqaozlv.
1/56
Calculate prob of sequence rrrr when four letters picked without replacement from {r: 6}.
1
What is prob of sequence cvc when three letters picked without replacement from {j: 1, i: 2, c: 11, v: 2}?
11/168
Three letters picked without replacement from {r: 2, j: 1, t: 6, l: 5, p: 5}. What is prob of sequence jlp?
25/5814
Calculate prob of sequence tg when two letters picked without replacement from gbttrr.
1/15
Three letters picked without replacement from kkkee. What is prob of sequence kek?
1/5
Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm.
1
What is prob of sequence bc when two letters picked without replacement from ccccrcbccccbcc?
11/91
Three letters picked without replacement from {h: 1, w: 1, c: 1, x: 6}. Give prob of sequence wxx.
5/84
Two letters picked without replacement from ludmtbummltl. What is prob of sequence mu?
1/22
Three letters picked without replacement from kbnbbbkbnbhbbbbbbbk. Give prob of sequence bbn.
52/969
Two letters picked without replacement from {h: 3, y: 1, u: 1}. What is prob of sequence hh?
3/10
Calculate prob of sequence dlq when three letters picked without replacement from {q
|
{
"pile_set_name": "DM Mathematics"
}
|
Factor -o**3/7 + 80*o**2/7 - 204*o - 1008.
-(o - 42)**2*(o + 4)/7
Suppose -k**4 - k**3 + 27*k**2 - 27*k - 54 = 0. What is k?
-6, -1, 3
Suppose 4*n**3/7 - 4*n**2 - 72*n/7 = 0. What is n?
-2, 0, 9
Factor v**5 + 393*v**4 + 39198*v**3 + 115246*v**2 + 114465*v + 38025.
(v + 1)**3*(v + 195)**2
What is d in 3*d**5 + 30*d**4 + 39*d**3 - 72*d**2 = 0?
-8, -3, 0, 1
Find y such that -248*y**4 + 494*y**3 + 1740*y**2 + 1006*y + 8 = 0.
-1, -1/124, 4
Factor -f**3/3 - f**2/3 + f/3 + 1/3.
-(f - 1)*(f + 1)**2/3
Factor 3*h**4 - 1059*h**3 - 1062*h**2.
3*h**2*(h - 354)*(h + 1)
Solve -5*n**4/2 + 5*n**3/2 + 15*n**2 - 10*n - 20 = 0.
-2, -1, 2
What is n in n**4/5 - 3*n**3 + 5*n**2 + 3*n - 26/5 = 0?
-1, 1, 2, 13
Suppose 5*j**4 + 24*j**3 - 441*j**2/5 - 404*j/5 - 84/5 = 0. What is j?
-7, -2/5, 3
Factor 2*z**3 - 18*z**2 - 8*z + 72.
2*(z - 9)*(z - 2)*(z + 2)
Let -4*c**3 - 3504*c**2 = 0. Calculate c.
-876, 0
Factor -2*a**5 - 470*a**4 - 44180*a**3 - 2076460*a**2 - 48796810*a - 458690014.
-2*(a + 47)**5
Factor -3*j**3/7 + 738*j**2/7 + 3000*j/7.
-3*j*(j - 250)*(j + 4)/7
Find r such that -2*r**4/7 - 668*r**3/7 - 664*r**2/7 + 668*r/7 + 666/7 = 0.
-333, -1, 1
Suppose -2*g**2/5 - 620*g - 240250 = 0. Calculate g.
-775
Factor 1331*d**4/2 + 1452*d**3 - 1485*d**2 + 432*d - 81/2.
(d + 3)*(11*d - 3)**3/2
Determine m, given that 3*m**4/7 + 16503*m**3/7 + 4322214*m**2 + 2639430444*m - 2643755016 = 0.
-1834, 1
Find d such that -4*d**5 + 36*d**4 - 80*d**3 + 48*d**2 = 0.
0, 1, 2, 6
Factor -w**3 - 12*w**2 - 17*w + 30.
-(w - 1)*(w + 3)*(w + 10)
Solve -5*d**3 - 5*d**2 + 45*d + 45 = 0.
-3, -1, 3
Solve 4*b**2 - 16024*b + 16048036 = 0.
2003
Determine q so that -1314*q**3/7 - 3939*q**2/7 + 5265*q/7 - 12/7 = 0.
-4, 1/438, 1
Let -4*k**2 - 12*k + 16 = 0. What is k?
-4, 1
Determine y so that 3*y**3/7 + 15*y**2/7 + 6*y/7 - 24/7 = 0.
-4, -2, 1
Suppose -7290*i**5 - 81405*i**4 - 150525*i**3 - 77030*i**2 - 15420*i - 1080 = 0. What is i?
-9, -3/2, -2/9
Factor -3*j**2/8 - 15*j/8 + 21/4.
-3*(j - 2)*(j + 7)/8
Determine d so that 4*d**5/7 + 16*d**4/7 - 72*d**3/7 - 288*d**2/7 + 324*d/7 + 1296/7 = 0.
-4, -3, 3
Factor -4*r**3 - 248*r**2 - 1756*r - 1512.
-4*(r + 1)*(r + 7)*(r + 54)
Factor 2*r**4/7 - 886*r**3/7 - 254*r**2 - 890*r/7.
2*r*(r - 445)*(r + 1)**2/7
Suppose 2*c**2/5 + 16*c/5 = 0. What is c?
-8, 0
Factor -3*l**2/4 - 405*l/8 - 201/8.
-3*(l + 67)*(2*l + 1)/8
Factor -21*z**2/8 + 219*z/8 - 45/4.
-3*(z - 10)*(7*z - 3)/8
Solve -16*x**5/5 + 92*x**4/5 - 24*x**3 + 28*x**2/5 + 16*x/5 = 0.
-1/4, 0, 1, 4
Find f such that -2*f**4/5 - 48*f**3/5 - 50*f**2 - 204*f/5 = 0.
-17, -6, -1, 0
Let -3*u**5 + 33*u**4 - 102*u**3 + 42*u**2 + 105*u - 75 = 0. Calculate u.
-1, 1, 5
Find i, given that -75*i**3/4 + 27585*i**2/4 + 33183*i/4 + 9963/4 = 0.
-3/5, 369
Factor -2*n**3 + 144*n**2/5 - 546*n/5 + 196/5.
-2*(n - 7)**2*(5*n - 2)/5
Factor m**3/7 + 3*m**2/7 - 18*m/7.
m*(m - 3)*(m + 6)/7
Factor 3*v**3 + 330*v**2 + 651*v + 324.
3*(v + 1)**2*(v + 108)
Factor 2*k**3 + 14*k**2 + 14*k - 30.
2*(k - 1)*(k + 3)*(k + 5)
Determine z, given that z**2/11 + 322*z/11 + 321/11 = 0.
-321, -1
Suppose 4*c**3 - 16*c = 0. Calculate c.
-2, 0, 2
Suppose -2*a**4 + 176*a**3/3 - 52*a**2/3 - 176*a/3 + 58/3 = 0. Calculate a.
-1, 1/3, 1, 29
Factor 3*h**2 + 84*h + 225.
3*(h + 3)*(h + 25)
Find q such that -4*q**2 - 232*q - 1764 = 0.
-49, -9
Solve p**5 - 20*p**4 + 78*p**3 + 220*p**2 + 121*p = 0.
-1, 0, 11
Factor 4*x**5 - 108*x**4 + 848*x**3 - 640*x**2 - 9600*x - 8000.
4*(x - 10)**3*(x + 1)*(x + 2)
Let 4*c**4 + 16*c**3 - 44*c**2 - 120*c = 0. Calculate c.
-5, -2, 0, 3
Factor -2*s**3 - 116*s**2 + 506*s + 620.
-2*(s - 5)*(s + 1)*(s + 62)
Factor -3*l**2 + 162*l - 2175.
-3*(l - 29)*(l - 25)
Suppose -2*g**2/13 - 30*g/
|
{
"pile_set_name": "DM Mathematics"
}
|
5 as j + f*b and give f.
2
Express -12*n**3 + n + 4*n**3 + 6*n**3 + (n + 0*n + 0*n)*(-11*n**2 - 41*n**2 - 187*n**2) as p + q*n**3 + a*n + x*n**2 and give q.
-241
Rearrange 42591*x**2 - 42662*x**2 + 18 - 120*x**3 - 18 to the form b + u*x**3 + z*x**2 + p*x and give u.
-120
Express 100782*p + 100283*p - 220292*p in the form w + d*p and give w.
0
Rearrange (-130*b**2 + 28*b**2 - 11*b**2)*(-46*b**2 - 37*b**2 - 46*b**2) to t*b + s*b**4 + f + g*b**3 + c*b**2 and give s.
14577
Rearrange (3*d + d - 5*d)*(-54*d + 37 - 37) + 172*d**2 - 2274 + 2274 to y*d + h*d**2 + v and give h.
226
Rearrange (5 - 6*h + 2*h**2 - 5)*(0 + 0 + 1) + (-2318*h - 245*h**2 + 2318*h)*(-1 + 3 - 1) to the form z + p*h**2 + s*h and give p.
-243
Express 15956*o + 8051 + 8037 - 16088 as q*o + s and give q.
15956
Express -124 - 338*w**2 + 122 + 282*w**2 + 2322*w**2 + 87*w**2 in the form j*w + l*w**2 + q and give l.
2353
Express -z**3 - 4*z + 6163 - 6045 + 7*z**2 + 3*z in the form t*z**2 + u + x*z + q*z**3 and give u.
118
Express -8*c**2 + 7*c**2 + 32 - 35 + 2*c**4 + c**3 + 8*c**3 in the form r*c**3 + x*c**2 + l*c**4 + n*c + y and give x.
-1
Rearrange (-11*p + 6*p**2 + 11*p)*((3*p - p + 4*p)*(1 + 5 - 3) - 2*p + 4*p - 4*p)*(1 + 4 - 1) to the form f*p**3 + t + m*p + u*p**2 and give f.
384
Express 17*z**4 - 223787*z**2 - 4 + 223787*z**2 - 3*z - z**3 as u*z + p*z**3 + b*z**4 + d + s*z**2 and give p.
-1
Rearrange -560*l + 1125*l + 0*l**3 - 567*l - l**4 + 51*l**2 + 2*l**3 to the form n*l + c + u*l**4 + t*l**2 + j*l**3 and give u.
-1
Rearrange 0*o**2 + 0*o**2 + 2*o**2 + (-2*o + 0*o - o)*(-5712953 + 1391*o + 5712953) to x*o**2 + d*o + b and give x.
-4171
Express -1 - 17237*v + 4*v**3 + 196*v**2 - 203*v**2 + 17254*v as a*v + g*v**2 + z + j*v**3 and give z.
-1
Express -2*g**2 - 86*g + 781 - 1607 + 794 in the form r*g + m*g**2 + l and give m.
-2
Express -9*g**4 - 24*g**4 + 2809*g**3 - 2814*g**3 - 1 - 35*g**4 - 2*g + 2 - 2*g**2 in the form k + c*g**4 + p*g**2 + z*g**3 + f*g and give c.
-68
Rearrange (0*o + 3*o - o)*(-34024*o**2 + 540 + 5350*o**2 - 1119 + 579) to the form c + v*o + s*o**3 + d*o**2 and give s.
-57348
Rearrange -265*v - 276*v + 518*v - 222*v - 37 - 84*v to the form s + b*v and give b.
-329
Express 2*b**4 + 732*b**3 - 1458*b**3 + 1 + 727*b**3 - 209*b**2 in the form h*b**2 + y + q*b + a*b**3 + s*b**4 and give h.
-209
Rearrange i**3 + 4 - 47*i**2 - 173*i**4 - 138*i**4 - 179*i**4 + 487*i**4 to u*i**4 + l*i + c + h*i**2 + f*i**3 and give c.
4
Rearrange (0 - 3 + 1)*(18957 - 18957 + 5663*m**3) + m**2 - m**2 - 2*m**3 to the form a + v*m**2 + r*m**3 + n*m and give r.
-11328
Express (4*r**2 + 2*r**3 - 4*r**2)*(-1136 - 59 - 73087*r + 73086*r) as g*r + d + s*r**3 + i*r**2 + v*r**4 and give s.
-2390
Rearrange 699*m**2 + 49 - 662*m**2 - 60 to b*m**2 + a + i*m and give a.
-11
Express l**2 - 598*l**3 + 22*l**2 + 587*l**3 + 5*l**2 + 3*l**2 in the form j*l**3 + n*l**2 + q + d*l and give n.
31
Rearrange 43*c**2 - 24*c**4 + 248 - 120 - 41*c**2 - 125 - 2*c**3 - 2*c to the form l + m*c + p*c**2 + j*c**4 + q*c**3 and give j.
-24
Rearrange (-140 + 993 + 924)*(0*i**4 + 2*i**3 + i**2 + 10*i**4 + i**4) to p*i**4 + w*i**3 + q*i**2 + a*i + v and give w.
3554
Rearrange -24*u**4 + 1808 + u**2 - 2*u**3 + 52*u**4 - 1805 to i + q*u + x*u**4 + w*u**3 + z*u**2 and give i.
3
Rearrange -7*b**3 - 3*b**3 + 491 - 4*b**3 - 488 - 5*b**2 to the form h + n*b**2 + x*b**3 + v*b and give h.
3
Rearrange ((-d - 4*d + 3*d)*(2 + 2*d - 2) - 2*d**2 - 3*d + 3*d)*(d + 4*d + 0*d) - 20 + 10 + 2*d**3 + 8 to w + f*d**3 + k*d + t*d**2 and give f.
-28
Express (-3 + 3 - 3*q)*(-1 + q + 1) + 28*q - 172*q**2 + 61*q**2 + 66*q**2 + 45*q**2 + 53*q**2 in the form r*q**2 + n*q + y and give r.
50
Express -2*z + 2*z + 2*z + (-5 - z + 5)*(-2 - 5 + 4) - 6 - 8 - 15 - 23*z + 7 - 1 as f + n*z and give n.
-18
Express -648*d**2 - 17251*d + 2 + 8622*d + d**4 + 8627*d - 2*d**3 in the form y*d**3 + f*d + g*d**2 + o + n*d**4 and give f.
-2
Rearrange (-45646 + 22827 + 22791 - 17*u)*(-u - 2 + 2) to t*u + s + o*u
|
{
"pile_set_name": "DM Mathematics"
}
|
r i.
-3
Solve 24 = -5*l + 4*i + 83, -2*l + 5*i = -61 for l.
3
Solve 22*k = 33*k - 16*k, c + 4 = 4*k - 0 for c.
-4
Solve -8*p + 2*t - 48 = 0, 2*p + 50*t + 14 = 51*t for p.
-5
Solve 5*j + 328 = 5*r + 288, -4*r - 20 = -0*r for j.
-13
Solve u + 202*p - 9 = 200*p, -3 = 3*u - 4*p for u.
3
Solve -3*g - 24*p + 11 = -26*p, g + p + 13 = 0 for g.
-3
Solve 0 = -s - 5*b + 9*b + 8, 0 = -4*s - 4*b + 12 for s.
4
Solve 2*k = 3*u - 7, -2*u = -5*k - 10 - 13 for u.
-1
Solve -4*j - 2*a + 7 = 1, 5*j + 6*a + 10 = 0 for j.
4
Solve -m - 597 = -w - 607, -4*m - 3*w = -26 for m.
8
Solve -t = -2*b + 53 - 56, 0 = -3*b + t - 7 for b.
-4
Solve 5*i = k + 16, -16*i = 3*k - 13*i - 24 for k.
4
Solve -c + 4*s - 32 + 41 = 0, 14 = 4*c - 5*s for c.
1
Solve 160*x - 163*x = 5*p + 45, 45 = -5*p for x.
0
Solve -5*a + 5*c - 45 = 0, 3*a - 5*c + 16 + 21 = 0 for a.
-4
Solve 0 = 5*f - 5*v + 90, -3*v + 88 = -4*f + 20 for f.
-14
Solve 2*p = -5*x - 29, 3*p - 5*x + 25 = 44 for p.
-2
Solve 16 = o - 6*u, u = 2*o - 2*u + 4 for o.
-8
Solve w - 5*u = -6, 6*w + 3*u - 1704 + 1641 = 0 for w.
9
Solve -4*g - 6450*j + 6451*j - 10 = 0, 4*g + 5*j + 46 = 0 for g.
-4
Solve -4*r - 4*z = -12, z + 11 = -3*r + 16 for r.
1
Solve -3*d = -3*o - 24, -3*d - 99*o + 14 = -97*o for d.
6
Solve 31*n - 30*n - 6*t + 3*t - 23 = 0, -3*n + 6*t = -45 for n.
-1
Solve -5*v = -s - 28, -2*v + 188 = 5*s + 193 for v.
5
Solve -3 = 65*o - 61*o + 9*r, -2*o + 3*r - 9 = 0 for o.
-3
Solve 4*z - 21 = r, 329*r = z + 325*r - 24 for z.
4
Solve -27*z + 3*o = -28*z + 20, -5*o + 37 = 2 for z.
-1
Solve -41*b + 46*b = u + 67, -2*u + 8*u = 3*b - 51 for b.
13
Solve 0 = 2*z + b - 1, -5*z = -300*b + 291*b - 37 for z.
2
Solve 54 = -203*w + 199*w + 3*q, -4*q + 59 = -w for w.
-3
Solve -2*l - 14 = 6*x - 8*x, -5*l - 4*x + 10 = 0 for l.
-2
Solve 37*z + 3*n = 41*z + 6, -z - n - 5 = 0 for z.
-3
Solve 0 = -4*w + 3*v + 25, -192*w + 194*w - 3 = -3*v - 40 for w.
-2
Solve -4*r + 88 = -3*m, 5*m - 300*r = -303*r + 37 for m.
-4
Solve 3*x - 17 = 2*i, -11717*i = -11719*i - 2*x + 8 for i.
-1
Solve 1136*l + 3*c = 1133*l + 24, 3*l - 29 = -4*c for l.
3
Solve 8*i - 7 = -5*m, -3*m - 2*i = 12513 - 12520 for m.
3
Solve -6*q = -4*g, 668*q - 665*q - 13 = -1 for g.
6
Solve 0 = 3*z + 2*f - 12, -1107*z - 20 = -1106*z - 2*f for z.
-2
Solve o = -3*o + 4*b + 12, -3*b = o + 1 for o.
2
Solve -3*m + 27 = -11*s + 16*s, -9 = -m + 5*s for m.
9
Solve -5*p = -3*j - 41 - 15, -5*j + p - 20 = 0 for j.
-2
Solve -2*s = -c + 13, 3*s + 32 - 37 = -2*c for s.
-3
Solve -2*n + 4*j = 12, -794*n = -799*n - 5*j + 45 for n.
4
Solve -17 = -2*j + 3*h, -16*h + 13*h = 15 for j.
1
Solve -861*i = -859*i - 4*s - 42, 9 = -3*i - 3*s for i.
5
Solve 205 = 6*b + 2*n + 129, b - 5*n - 18 = 0 for b.
13
Solve 0 = -4*c + 5*b + 29, -5*c + 3 = 5*b + 68 for c.
-4
Solve l = 3*x + 19, 60*l = 59*l + 4*x + 24 for l.
4
Solve 5*r + 4*c - 111 = 0, -4453*c = 4*r - 4450*c - 83 for r.
-1
Solve 3 = -3*x + 405*b - 402*b, -4*b = 4*x - 28 for x.
3
Solve 0 = -3*h + 5*i - 13, -3 = 42*h - 37*h + i for h.
-1
Solve 2*t + 8 = 0, 4*t + 28 = 14*h + 6*h - 16*h for h.
3
Solve -5*z - 2*s = -24, -5*z - 163*s + 149*s = 12 for z.
6
Solve -4*f - 16 = 0, 0 = 5*z + 19*f + 75 + 21 for z.
-4
Solve 11*o + 3*f + 172 = 176, -o + f = -8 for o.
2
Solve 0 = -26*i + 21*i - 2*u + 24, 0 = i - 3*u + 2 for i.
4
Solve 3*m = 5*i - 45 + 25, -7*i + 1 = m - 1 for m.
-5
Solve 32*d + 5*n + 14 = 30*d, -4*d - 3*n = 0 for d.
3
Solve 5*n - 2*l + 37 = 0, 214*n - 219*n + 3*l - 38 = 0 for n.
-7
Solve 485*d + t = 487*d, -3*d - 2*t + 7 = 1 - 8 for d.
2
Solve 6*k + 30 = -4*b, 943*k - 26 = 3*b + 944*k for b.
-9
Solve 0 = -4*s + 3*n - 59, 3*s + 288 = -795*n + 807*n for s.
4
Solve 2 = 4*w + 2*p + 8, 0 = 4*w + 8*p + 36 for w.
1
Solve 0 = 5*l - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
**3/33 - 48*v**2/11 + 6*v - 42. Suppose a(c) = 0. Calculate c.
-6, 8
Let d be ((-20350)/34188)/(10/(-24)). Factor 2/7*i + 8/7 - d*i**2.
-2*(i - 1)*(5*i + 4)/7
Let k = -7369/2 - -3686. Factor 1/2 - 3/2*t + k*t**2 - 1/2*t**3.
-(t - 1)**3/2
Suppose -4*d + 29 = 2*v + v, 0 = 2*v + 4*d - 26. Suppose 15 = 3*g - v. Factor 3*y**4 - g*y**3 + 3*y**4 - 3*y**4.
3*y**3*(y - 2)
Let q(w) = -w**2 - 2*w + 6. Suppose -4*g - 80 = -68. Let i be q(g). Factor 2/3*v**i + 0*v + 2*v**2 - 8/3.
2*(v - 1)*(v + 2)**2/3
Determine l, given that 2/9*l**3 + 0 - 8/9*l**2 + 0*l = 0.
0, 4
Suppose -170*s - 64*s**2 + 5*s**5 + 49*s**4 - 15*s**3 - 201*s**2 + 36*s**4 = 0. Calculate s.
-17, -1, 0, 2
Let y(q) = q**2 + 13*q - 50. Let m be y(-14). Let s be (-188)/m + 30/(-6). Solve 0*h + 0*h**4 + 2/9*h**3 + 0 + 0*h**2 - s*h**5 = 0 for h.
-1, 0, 1
Let h be ((-176)/(-264) + 26/(-21))/(10/(-70)). Solve -c**5 - 7/2*c**3 + 7/2*c**h + c**2 + 0 + 0*c = 0.
0, 1/2, 1, 2
Let a be (27/(-2))/(187/(-544)). Let u = a + -3778/99. Determine s so that -u*s + 2/9*s**3 - 2/3*s**2 - 4/9 + 2/9*s**4 = 0.
-1, 2
Let j = 565 + -11299/20. Let m(k) be the second derivative of k - 3/10*k**2 - j*k**4 + 0 - 1/5*k**3. Determine c, given that m(c) = 0.
-1
Let n(i) = i**3 - 27*i**2 + 363*i - 1337. Let r(z) = -z**2 + 3 - 2 - z**2 + z**2. Let y(l) = -n(l) - 6*r(l). Determine c so that y(c) = 0.
11
Let o be (120/(-300))/((-2)/10). Let n(b) be the first derivative of 1/12*b**3 - 9 + 1/4*b**o + 1/4*b. Suppose n(q) = 0. Calculate q.
-1
Let g = 54 - 28. Let b be (5 - 3) + g/(-14). Factor 1/7*l**3 + 0*l + 0 - 2/7*l**4 + b*l**5 + 0*l**2.
l**3*(l - 1)**2/7
Let r be ((-1605)/5350)/(-1 + 15/8 + -1). Factor 8/5*l**2 + 4/5*l**4 + 0 - r*l**3 + 0*l.
4*l**2*(l - 2)*(l - 1)/5
Let x = -68 - -56. Let u(a) = -8*a**3 + 52*a**2 + 20*a - 40. Let w(j) = -3*j**3 + 21*j**2 + 8*j - 16. Let h(p) = x*w(p) + 5*u(p). Factor h(m).
-4*(m - 2)*(m - 1)*(m + 1)
Factor 76*i**4 + 78*i**4 - 218*i**4 + 76*i**4 + 40*i**2 + 46*i**3 - 8*i.
2*i*(i + 2)**2*(6*i - 1)
Suppose -h - 4 = -0*h, 4*h + 6 = -2*p. Let k = -57/196 - -51/49. Let 3/4*i**p + 9/4*i**2 - 3/2*i - 9/4*i**4 + 0 + k*i**3 = 0. Calculate i.
-1, 0, 1, 2
Let d(x) be the first derivative of -x**5/12 + 25*x**4/18 + 55*x**3/18 - 20*x + 12. Let l(v) be the first derivative of d(v). Suppose l(f) = 0. What is f?
-1, 0, 11
Suppose -5*y - 6 + 91 = 0. Suppose o - 11 = -3*d, o + d = -4*d + y. Determine b, given that 10*b**3 + 0*b**4 + 7*b**2 + 10*b + 4 + 4*b + 11*b**o + 2*b**4 = 0.
-2, -1
Suppose p = 1 + 1. Let d(z) = 12*z**2 + 27*z - 12. Let g(h) = -h**2 - 2*h + 1. Let i(m) = p*d(m) + 27*g(m). Factor i(c).
-3*(c - 1)*(c + 1)
Let g(q) be the first derivative of -5*q**3/3 + 105*q**2/2 + 110*q + 128. Factor g(j).
-5*(j - 22)*(j + 1)
Let a = -2 + 2. Let u = 6353 + -6349. Suppose 3/4*v**u + a*v - 1/2*v**3 + 0 + 0*v**2 - 1/4*v**5 = 0. Calculate v.
0, 1, 2
Let n be (-4)/(-6)*(-4 + (-285)/(-60)). Let n*t**2 - 1/2*t**4 - t**3 + 0 + t = 0. What is t?
-2, -1, 0, 1
Let i(x) = x**3 + 9*x**2 + 4*x + 4. Let f be i(-5). Suppose -2*a - 30 = -f. Solve -w**2 - 2*w**2 - a*w + 18*w = 0.
-3, 0
Suppose a = -0 + 16. Suppose -4*s + 4*s**2 + 20*s**3 - a*s**3 - 4 + 0 = 0. Calculate s.
-1, 1
Let f(i) = i**4 + 5*i**3 + 12*i**2 + 8*i - 5. Let p(v) = 2*v**3 + 6*v**2 + 4*v - 2. Let l(y) = -2*f(y) + 5*p(y). Factor l(o).
-2*o*(o - 2)*(o + 1)**2
Let n(s) be the third derivative of s**6/60 + 109*s**5/30 - 3*s**2 - 87. Suppose n(d) = 0. What is d?
-109, 0
Suppose 0 = 5*x - 2*x + 630. Let h = x + 1056/5. Factor -2/5*u**2 + 0*u - 4/5*u**5 + h*u**4 + 0 + 0*u**3.
-2*u**2*(u - 1)**2*(2*u + 1)/5
Let j = 18242 + -18240. Factor -1/6*s**j - 2/3*s + 5/6.
-(s - 1)*(s + 5)/6
Suppose 3*w - 9 - 9 = 0. Find a, given that 0 + 6 + 12*a - 6*a**2 - 3*a - 3*a**3 - w*a = 0.
-2, -1, 1
Determine r so that -33/2 - 21/8*r**2 - 3/8*r**3 + 15*r = 0.
-11, 2
Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
3*u + 0*u - 831 = -3*o, -u - 4*o = 287. Let l(z) = z**3 + 3*z**2 - 12*z + 12. Let p be l(-10). Let g = u - p. Is g a composite number?
True
Suppose -41 = -3*b + 502. Let g = -584 + b. Let m = g - -696. Is m composite?
False
Let d(w) = 2*w**2 + 31*w - 11. Let f be d(-16). Suppose 71 = g - h + 8, f*g = 3*h + 323. Is g a composite number?
False
Let q be (87/2)/(2/4). Let t = q - -26. Is t a prime number?
True
Let k = -225 - -245. Let x = 49 - -48. Let o = x - k. Is o a composite number?
True
Suppose 4*q + 5*h + 10996 = h, 4*q - 2*h = -10996. Let k = q - -101. Is k/(-24) + (-4)/(-6) prime?
False
Suppose t - 2*m = -6*m + 20, -2*t + 4*m - 20 = 0. Suppose -2*z + 65 = -w + 202, t = 3*w - 3*z - 402. Is w composite?
False
Suppose 4*p + 2*x - 23870 = 28050, -4 = x. Suppose -q + 6491 = d + 4*q, 0 = 2*d + q - p. Is d a prime number?
True
Let u(j) = -j**3 + 21*j**2 + 3*j - 2. Is u(17) a composite number?
True
Let c(w) = 32*w**2 + 2*w - 7. Is c(-4) prime?
False
Let p(a) = 8*a**2 + 6*a - 7. Suppose 5*q = -q + 48. Is p(q) a prime number?
False
Let b = -73 - -695. Suppose b = 5*i - 4168. Is i prime?
False
Is 3/(((-126)/19663)/(-6)) a composite number?
True
Let n = -1527 - -29650. Is n prime?
True
Suppose 10*w + 631216 = 26*w. Is w composite?
False
Let f be (-1 - -12) + 6/(-24)*0. Let t = 514 - f. Is t a composite number?
False
Let q be ((-8)/(-5))/(24/60). Suppose 0 = q*v - 6*v + 194. Is v a composite number?
False
Suppose c - 42 = -2*c. Suppose 5*m - c = -2*o, -5*o - 3*m + 9 = -7. Is 4/6*2121/o composite?
True
Is (2/(-5))/(2/(-119585)) composite?
False
Is ((-51268)/(-49) - 6/21) + -3 a composite number?
True
Let j = -16 - -5. Let t = -26 + 74. Let x = j + t. Is x composite?
False
Suppose -2*r - 40 = 24. Let n(a) = -6*a + 7. Let g be n(3). Let k = g - r. Is k a prime number?
False
Let i(j) = 225*j**2 + 15*j - 23. Is i(9) prime?
False
Is 3969756/308 - (-2)/11 a prime number?
True
Is 406 - (-5)/(-20)*-4 a composite number?
True
Let z(b) = 2*b + 11. Let c be z(-3). Suppose -4*m - 4389 = -c*t, t + m - 3*m = 879. Is t prime?
True
Suppose 0 = -2*c - u + 3303, -6*u - 88 = -4*c + 6510. Is c a composite number?
True
Suppose 5*w - 3*k = 4*w - 203, -3*w + 5*k - 629 = 0. Let a be (-2)/8 + 1636/16*5. Let n = a + w. Is n composite?
False
Suppose -1169 = -2*l - 4*h + 3*h, 4*l - 2303 = 5*h. Suppose -k - 3*k = 3*p - 2342, -k + p + l = 0. Let c = k - 207. Is c prime?
False
Let o = 2501 - 1519. Suppose 3*d = -3, 2*d = x - 3*x + 1364. Let q = o - x. Is q a composite number?
True
Suppose -31*d + 464 = -27*d. Let m = 827 + d. Is m composite?
True
Suppose -4*l + 27 - 15 = 0. Suppose 5*b + l*t - 3323 = -t, 2*b - 3*t - 1343 = 0. Is b a prime number?
False
Let r be 93/9 + (-2)/(-3). Suppose 0 = 10*d - r*d + 89. Is d a prime number?
True
Let r = -612 - -16865. Is r a prime number?
True
Suppose 41 = -4*o + n + 3719, n + 921 = o. Is o a composite number?
False
Suppose -14798 = -c + i, -5*c + 44*i + 73987 = 42*i. Is c composite?
False
Let b(c) be the second derivative of 29*c**4/4 - c**3 - 3*c. Let l be b(4). Let h = l - 599. Is h composite?
False
Suppose 3*n - 3294 = 2*i - n, 5*n + 6575 = -4*i. Is i/(-21) - (-4)/6 a composite number?
False
Let i(v) = 1120*v**3 - 5*v**2 + 7*v + 5. Is i(4) prime?
True
Suppose 4*o - 12 = 0, 4*o = m - 0*m + 2. Suppose -2*g + 1502 = 2*u, 0*g = 5*g - m. Is u a prime number?
False
Let q = -133519 - -305798. Is q prime?
True
Let u(o) = o**2 - 6*o - 3. Suppose -5*p = 5*m - 40, m + 1 = -2*p + 16. Let f be u(p). Suppose 220 = -f*t + 8*t. Is t composite?
True
Suppose -13*w + 11*w = -5122. Let g = 4792 - w. Is g a composite number?
True
Suppose 3 = 2*z - 5. Suppose -4*g - 670 = -5*g + 2*v, z*v - 1308 = -2*g. Is ((-8)/4)/((-4)/g) a prime number?
True
Let h = -965 - -22668. Is h composite?
True
Suppose 0 = -4*a + 4*t + 524, 9*t = 2*a + 11*t - 270. Is a composite?
True
Let z = -15 + 18. Let n be z + 120 + -3 + -2. Is (n/(-3))/(4/(-6)) composite?
False
Let n = 32574 + -13471. Is n prime?
False
Let q = -74 - -341. Is q a composite number?
True
Let l(t) = -41*t**2 + 8*t + 4. Let a be l(-3). Is (-1)/((-4)/a)*-4 prime?
True
Let t be (2 - 6/3)/1. Let h be 2 + t + -65 + 5. Let z = -21 - h. Is z composite?
False
Let w(l) = -2*l**3 - 10*l**2 - 5*l + 8. Suppose 37 = -3*d + 5*y, 2*d + 3*y - 24 = 4*d. Is w(d) a prime number?
True
Let b = -229 - -492. Is b a prime number?
True
Let j be (-9)/2 + (-1)/(-2). Let l(w) = 10*w - 7. Let q be l(3). Let n = j + q. Is n a prime number?
True
Let l = -4 - -1. Let k be 3 + 3/(l/1). Suppose -32 = 2*y - 2*z - 288, -k*y - 4*z = -250. Is y composite?
False
Let d(
|
{
"pile_set_name": "DM Mathematics"
}
|
30*-5). Let k = a + 254. Solve n - k*d + p = -1, -n + 1 = 4*d for n.
-3
Let k be (7 + (-595)/68)*2*(-20)/14. Let s = 7 + -2. Solve o - s + 1 = k*y, 4*o = 2*y + 16 for o.
4
Suppose 0 = -r + 12*t - 10*t + 21, -3*t + 21 = r. Let x be (-35)/r*(-60)/25. Solve 3*o = 5*y + 13, -2*o - x = -2*y + 5*y for y.
-2
Let k be (-68)/238 - (23/7)/(-1). Suppose 4*u - 21 = -k*j, 1 = -5*j + 16. Solve q - 6 = -u*i - q, -5*i - 3 = -q for i.
0
Let t = -19786 + 19804. Solve 5*z - t + 28 = 5*n, -5*z - 2*n = 10 for z.
-2
Let g be ((-4)/(-5))/((-2)/(-20)). Let l(y) = 7*y**2 - 24*y + 149. Let r be l(7). Let i = r + -320. Solve g = i*q, 4 = -4*f + 2*f - 2*q for f.
-4
Let z = -910 - -924. Solve -5*s - 15 = 0, 0*r - 4*s - z = r for r.
-2
Let d be (-2 + -4)*7/(-2). Let g(j) = 22*j**2 + 4*j - 85. Let n be g(7). Let m = n + -1016. Solve 3*i = -5*y + 31, -4*y - m = -2*i - d for y.
5
Let v(o) = 2*o**2 - 3*o**2 + 8655*o - 8642*o - 37. Let h be v(8). Solve -h*d - 2*a + 0*a + 11 = 0, -5*a - 20 = -2*d for d.
5
Let u(n) = -27*n - 779. Let q be u(-29). Suppose -5*o = -10*o + 10, -4*z + 12 = -4*o. Solve -3*p = z*y + 20, -p + 0*p + q*y = -16 for p.
0
Suppose 32 - 37 = -s. Suppose -c = -5*c + s*c. Solve 3*g + f - 20 = c, -4*g + 6*f = 2*f for g.
5
Let o(j) = 3*j + 16. Suppose 5*l - l = 4*b - 4, -5*b + 2*l + 2 = 0. Let w be o(b). Suppose 0 = 3*d + d. Solve 5*c = 4*r - 2*r + w, d = -4*c - 3*r + 22 for c.
4
Suppose -1469 = -2*f - n - 1458, 0 = -2*f + 5*n - 31. Solve 3*m + 5*d = 107 - 86, -27 = 5*m - f*d for m.
-3
Let h be ((-126)/56)/(6/(-48)). Suppose 5*o + 19 = -2*b, -2*b + h - 7 = -o. Solve 12 = -b*v + j, 4*j + 8 = v + 1 for v.
-5
Suppose 20 = 5*p - w, -p - 47*w + 4 = -50*w. Solve -4*t + 24*i = 28*i - 32, -2*i = p*t - 24 for t.
4
Let c be ((8/12)/(6/72))/1. Solve 2*f - 2*s = 0, -3*s = 5*f - c - 0 for f.
1
Let z be 369/63 + 88/77. Solve -14*b - z = t - 19*b, -2 = -4*t + 5*b for t.
3
Let k = -2547 + 2564. Solve -8*d + k = -4*d + 5*v, 0 = 5*d - v + 15 for d.
-2
Suppose 7*l - 11*l = -3*d - 67, 0 = 3*l + 4*d - 19. Solve -3*a - l = 5*z, -2*z + z = 2*a + 4 for z.
-2
Suppose -22 + 142 = 5*y. Let g be y/20*(-50)/(-15). Solve -2*o - 5*q + q + 18 = 0, -o = g*q - 15 for o.
3
Suppose 35*j - 1612 = 593. Solve 59*l = j*l - 12, -v + 2*l = 0 for v.
6
Let l(b) = b**3 + 20*b**2 + 12*b - 116. Let k be l(-19). Solve k = -4*r + 2*v + v, 5*v = -5 for r.
-5
Let y = -2733 + 2735. Solve -y*a + 2 = -5*a + 2*v, -4*v = -4 for a.
0
Suppose -2*c = 3*f - 44, 0 = -3*f + 5*c + 83 - 4. Solve 4*h - 7 = -3*l, -3*h + 17*l = f*l + 1 for h.
-2
Suppose 2*q - 2*n - 66 = 0, n - 483 = -485. Solve -5*c - 4*j + 6 = 0, -4*c + q*j - 16 = 29*j for c.
-2
Let t be 198/(-11)*22/(-99). Solve 2*g + t*k + 28 = 0, 5*g - 3*k + 10 - 5 = 0 for g.
-4
Suppose -28 + 54 = 26*l. Let f(p) = 4*p**3 - 2*p**2 + 1. Let c be f(l). Solve -4*h - d = -21, -d + 8 = -3*h + c*d for h.
4
Let l(h) = -h**3 + 4*h**2 - 2*h + 1. Let d be l(3). Let p(i) = 7*i + 6. Let c be p(0). Suppose -22 + c = -8*m. Solve v + v - d = -m*n, -2*n - v = -1 for n.
-1
Let z(u) = -510*u - 3570. Let j be z(-7). Solve j = -4*w - 3*n + 5, -29 + 33 = 4*w + 4*n for w.
2
Let c = 887 + -884. Solve 0 = -c*i - 3*y + 3, -5*i - 4*y + 7 = -y for i.
2
Let i(o) = -o - 9. Let s be i(-11). Suppose 5*l = 4*t + 15, -5*l + 15 = -84*t + 87*t. Solve 0 = l*p + 2*k - s, -p - p = -2*k + 2 for p.
0
Let c be ((-33)/45 + (-3)/(-9))*(19 + -24). Solve -6 = -c*j - t, -13*j + 11*j - 4*t = -12 for j.
2
Let r = 6599 - 6597. Suppose -t + 4 + 8 = 3*i, -3*i - 2*t + 15 = 0. Solve a - 4 = x, -i = -0*x + x - r*a for x.
-5
Let n = -6 - -12. Let h(p) = -2*p**2 + 9*p - 4. Let s be h(4). Solve 2*a + 4 = 0, -n = v + 4*a - s*a for v.
2
Let v be 8/20 - (5 + (-4844)/(-35)). Let w = v + 145. Solve -2*x + 4 = -u + 1, -3*x + w*u = -4 for x.
2
Let a(y) = -y**2 + 18*y - 45. Let v be a(15). Let c be (1 + v)/((-8)/(-64)). Solve b + 2*f = -5, -2*f + c = -2*b
|
{
"pile_set_name": "DM Mathematics"
}
|
(-3*(0 + sqrt(325)*-1 + 0 + sqrt(325) + -2))**2.
36
Simplify -2*sqrt(175) + sqrt(21)/(2*sqrt(3) - sqrt(3)).
-9*sqrt(7)
Simplify (-2*sqrt(117))/sqrt(9) - (0 + sqrt(208)).
-6*sqrt(13)
Simplify (sqrt(2) + -1)*1 + 1*sqrt(2) + 1.
2*sqrt(2)
Simplify 3 + sqrt(17) + -1 + 0.
2 + sqrt(17)
Simplify (sqrt(2057) - (-2 + sqrt(2057))) + -5.
-3
Simplify (sqrt(104) - (sqrt(104) - (-5*(sqrt(104) - ((sqrt(104) - (sqrt(104)*-1 - sqrt(104))) + sqrt(104))) + sqrt(104) - sqrt(104))))/sqrt(8) + -2.
-2 + 15*sqrt(13)
Simplify (0 + sqrt(396) + 5 - sqrt(396))**2 + -4.
21
Simplify (-1*(sqrt(90) + sqrt(90)*-1 + sqrt(90)))/sqrt(5).
-3*sqrt(2)
Simplify (2 + sqrt(300)*-1 + -4)**2.
40*sqrt(3) + 304
Simplify ((sqrt(17) + (-3*sqrt(17) - sqrt(17)))*-5 - sqrt(102)/sqrt(150))**2.
93092/25
Simplify (5*sqrt(153))**2 + -1 + sqrt(17) + 2.
sqrt(17) + 3826
Simplify -1*sqrt(612) - (sqrt(612) + 2).
-12*sqrt(17) - 2
Simplify (sqrt(30)/(sqrt(90)/sqrt(9)))**2 + -4*-3*sqrt(3) + sqrt(3).
3 + 13*sqrt(3)
Simplify sqrt(119)/(sqrt(49)/sqrt(175)).
5*sqrt(17)
Simplify 1 + sqrt(1331) + -1 + sqrt(1331) + -1 + sqrt(1331) + sqrt(1331).
-1 + 44*sqrt(11)
Simplify (1*(sqrt(704) + sqrt(44)))/(sqrt(36)/(sqrt(9)*1)).
5*sqrt(11)
Simplify (sqrt(28)/sqrt(2))/sqrt(7) + -5.
-5 + sqrt(2)
Simplify (-5 + sqrt(18))*1.
-5 + 3*sqrt(2)
Simplify 2*(-3 + 3 + (1 + sqrt(19) + sqrt(19))**2 + -1).
8*sqrt(19) + 152
Simplify (sqrt(208) + sqrt(208) + (sqrt(208) - (sqrt(208) - (-3 + sqrt(208))) - sqrt(208)))*-6.
-48*sqrt(13) + 18
Simplify 3*((5*(sqrt(91) + -2*sqrt(91)))/sqrt(7))**2*-3.
-2925
Simplify (sqrt(198)/sqrt(9))/sqrt(2) - (-2*sqrt(11) + sqrt(11) + -3)**2.
-20 - 5*sqrt(11)
Simplify 2 + 1*(1 + sqrt(3)) + (sqrt(9)/(sqrt(9)/sqrt(3)))**2 + 0 + -2*sqrt(3).
-sqrt(3) + 6
Simplify sqrt(56)/((sqrt(72) - -2*sqrt(72))/sqrt(9)).
sqrt(7)/3
Simplify -3 + -5 + 0 + -1*sqrt(7).
-8 - sqrt(7)
Simplify (sqrt(110)/sqrt(90) + ((sqrt(11) - (sqrt(11) + 0 + sqrt(11))) + sqrt(11))*5 + sqrt(11))**2*-6.
-352/3
Simplify ((-2 + -2*sqrt(396) + sqrt(396) - sqrt(396)) + -2)**2.
96*sqrt(11) + 1600
Simplify ((sqrt(22)*-1 - sqrt(22) - sqrt(22))*2)/(sqrt(6)/(sqrt(3) - sqrt(48)))*6.
108*sqrt(11)
Simplify 3 + sqrt(130)/(sqrt(20)/sqrt(2)) + 5*sqrt(208).
3 + 21*sqrt(13)
Simplify sqrt(99)/(5*sqrt(45)/sqrt(5)).
sqrt(11)/5
Simplify (-1*sqrt(2156))/(sqrt(28)/(sqrt(28)/sqrt(4))).
-7*sqrt(11)
Simplify (sqrt(16)/(sqrt(40)/sqrt(5)))**2 + ((-2*sqrt(6))/sqrt(3))**2.
10
Simplify (sqrt(1575)*-2*-3)**2.
56700
Simplify (-5*sqrt(70)*-4)/((sqrt(120)/sqrt(6))/sqrt(2)).
20*sqrt(7)
Simplify 4*((sqrt(2057) - (1 + sqrt(2057)))*6 - 2*(sqrt(2057) + -1))**2.
704*sqrt(17) + 32976
Simplify (-1 + sqrt(125))*-5*4.
-100*sqrt(5) + 20
Simplify -2*sqrt(171) + 2 + (sqrt(19) + sqrt(19) + (sqrt(114)*1)/sqrt(6) - (sqrt(19) + 0)*-6)**2.
-6*sqrt(19) + 1541
Simplify 1*sqrt(13)*-3*6.
-18*sqrt(13)
Simplify -3 + 1*(sqrt(1900) + -3).
-6 + 10*sqrt(19)
Simplify -2 + (2 + sqrt(3) + 1)**2 + sqrt(3).
10 + 7*sqrt(3)
Simplify (3*(-2 + sqrt(242)*1))**2.
-396*sqrt(2) + 2214
Simplify sqrt(441)/sqrt(7) + 5.
5 + 3*sqrt(7)
Simplify sqrt(110)/sqrt(10) + 3 - (0 + sqrt(176)).
-3*sqrt(11) + 3
Simplify (-4*(sqrt(192) + 3) + sqrt(192)*-1 + -4)**2.
1280*sqrt(3) + 5056
Simplify (sqrt(91) + 6*(2*sqrt(91) - sqrt(91)))/((sqrt(252) - (sqrt(252) - sqrt(252)*-1) - sqrt(252)) + sqrt(252)).
-7*sqrt(13)/6
Simplify sqrt(190)/sqrt(250) - (sqrt(76) + -4).
-9*sqrt(19)/5 + 4
Simplify -1 + (-3 + (0 + sqrt(448))**2 + sqrt(448) - sqrt(448)) + 4.
448
Simplify (sqrt(363) + (sqrt(363) - -2*sqrt(363)) + sqrt(363) + -2)**2 - sqrt(363).
-231*sqrt(3) + 9079
Simplify ((4*-1*sqrt(63))/((sqrt(72)/sqrt(2))/sqrt(4)))**2.
112
Simplify -1 + (1*sqrt(102))/sqrt(6) + (sqrt(68)*-1)**2.
sqrt(17) + 67
Simplify (sqrt(72) - (-3*sqrt(72) + 0))**2*-4.
-4608
Simplify (-2 + sqrt(2))*-1*-5.
-10 + 5*sqrt(2)
Simplify ((sqrt(108) + -1)*1)**2.
-12*sqrt(3) + 109
Simplify (sqrt(6)*-2 - sqrt(6))/sqrt(2) + ((sqrt(96)/sqrt(4))/sqrt(8))**2.
-3*sqrt(3) + 3
Simplify (-2 + -1 + sqrt(539) + sqrt(539) - (4 + sqrt(539)*-2)) + -3.
-10 + 28*sqrt(11)
Simplify ((sqrt(1088) - sqrt(1088)*-1)*-3 + 5)**2.
-480*sqrt(17) + 39193
Simplify sqrt(19) + (sqrt(304)*2)**2 + sqrt(19) - (sqrt(171)*-2 + sqrt(171)).
5*sqrt(19) + 1216
Simplify ((sqrt(112) - (sqrt(112) + 2))*-1 - (sqrt(112) - (sqrt(112) + 1*sqrt(112)))*3)**2.
48*sqrt(7) + 1012
Simplify (sqrt(20)/sqrt(5))/sqrt(2) - sqrt(6)/(sqrt(9)/sqrt(3)).
0
Simplify (sqrt(156) + sqrt(156) + -4*sqrt(156)*1)/(sqrt(24)/(-1*sqrt(2))).
2*sqrt(13)
Simplify (-1*(-3*sqrt(78)
|
{
"pile_set_name": "DM Mathematics"
}
|
1/2, to the nearest integer?
796
What is 780572 to the power of 1/3, to the nearest integer?
92
What is the cube root of 17349602 to the nearest integer?
259
What is 11701591 to the power of 1/9, to the nearest integer?
6
What is 143267 to the power of 1/8, to the nearest integer?
4
What is the seventh root of 8960254 to the nearest integer?
10
What is 226321 to the power of 1/2, to the nearest integer?
476
What is the tenth root of 589421 to the nearest integer?
4
What is 8217102 to the power of 1/2, to the nearest integer?
2867
What is 148033 to the power of 1/2, to the nearest integer?
385
What is the fourth root of 311449 to the nearest integer?
24
What is 73699 to the power of 1/2, to the nearest integer?
271
What is 652124 to the power of 1/5, to the nearest integer?
15
What is the tenth root of 378191 to the nearest integer?
4
What is the cube root of 19808079 to the nearest integer?
271
What is the cube root of 497464 to the nearest integer?
79
What is 352420 to the power of 1/2, to the nearest integer?
594
What is 408174 to the power of 1/2, to the nearest integer?
639
What is the tenth root of 6922320 to the nearest integer?
5
What is the tenth root of 2373706 to the nearest integer?
4
What is the cube root of 1127488 to the nearest integer?
104
What is 40754 to the power of 1/10, to the nearest integer?
3
What is 22666220 to the power of 1/2, to the nearest integer?
4761
What is 1146074 to the power of 1/5, to the nearest integer?
16
What is 2722669 to the power of 1/2, to the nearest integer?
1650
What is the third root of 57664 to the nearest integer?
39
What is the third root of 644046 to the nearest integer?
86
What is the sixth root of 3410693 to the nearest integer?
12
What is 1439993 to the power of 1/3, to the nearest integer?
113
What is the square root of 7644439 to the nearest integer?
2765
What is 816023 to the power of 1/9, to the nearest integer?
5
What is the square root of 36670358 to the nearest integer?
6056
What is 8442027 to the power of 1/10, to the nearest integer?
5
What is 934148 to the power of 1/2, to the nearest integer?
967
What is the ninth root of 2363659 to the nearest integer?
5
What is the square root of 4268427 to the nearest integer?
2066
What is 14657996 to the power of 1/4, to the nearest integer?
62
What is the cube root of 5107280 to the nearest integer?
172
What is the square root of 1186943 to the nearest integer?
1089
What is the square root of 2226207 to the nearest integer?
1492
What is 96772 to the power of 1/2, to the nearest integer?
311
What is the cube root of 757421 to the nearest integer?
91
What is the square root of 6493021 to the nearest integer?
2548
What is the fifth root of 14713116 to the nearest integer?
27
What is the third root of 36667828 to the nearest integer?
332
What is the fourth root of 7878101 to the nearest integer?
53
What is the square root of 89925 to the nearest integer?
300
What is the third root of 844772 to the nearest integer?
95
What is 18732448 to the power of 1/3, to the nearest integer?
266
What is 1035108 to the power of 1/3, to the nearest integer?
101
What is the cube root of 221712 to the nearest integer?
61
What is the eighth root of 7645261 to the nearest integer?
7
What is the square root of 15456008 to the nearest integer?
3931
What is the cube root of 2321518 to the nearest integer?
132
What is 1377280 to the power of 1/3, to the nearest integer?
111
What is the ninth root of 573185 to the nearest integer?
4
What is the fifth root of 915665 to the nearest integer?
16
What is the seventh root of 607370 to the nearest integer?
7
What is 230749 to the power of 1/2, to the nearest integer?
480
What is 7396861 to the power of 1/9, to the nearest integer?
6
What is 68561 to the power of 1/8, to the nearest integer?
4
What is 3721435 to the power of 1/5, to the nearest integer?
21
What is the square root of 2211587 to the nearest integer?
1487
What is the eighth root of 132609 to the nearest integer?
4
What is 2959057 to the power of 1/2, to the nearest integer?
1720
What is 2787283 to the power of 1/9, to the nearest integer?
5
What is the eighth root of 14727993 to the nearest integer?
8
What is 3578527 to the power of 1/10, to the nearest integer?
5
What is the third root of 274635 to the nearest integer?
65
What is the square root of 50312 to the nearest integer?
224
What is 4415435 to the power of 1/10, to the nearest integer?
5
What is 11017391 to the power of 1/8, to the nearest integer?
8
What is 151024 to the power of 1/3, to the nearest integer?
53
What is 6264891 to the power of 1/8, to the nearest integer?
7
What is the third root of 4084592 to the nearest integer?
160
What is the third root of 553586 to the nearest integer?
82
What is 12207594 to the power of 1/2, to the nearest integer?
3494
What is the sixth root of 26282324 to the nearest integer?
17
What is the square root of 251622 to the nearest integer?
502
What is 2803261 to the power of 1/2, to the nearest integer?
1674
What is the eighth root of 345512 to the nearest integer?
5
What is 160765 to the power of 1/8, to the nearest integer?
4
What is 876513 to the power of 1/2, to the nearest integer?
936
What is 1911497 to the power of 1/2, to the nearest integer?
1383
What is the third root of 2286535 to the nearest integer?
132
What is 478237 to the power of 1/9, to the nearest integer?
4
What is the square root of 232180 to the nearest integer?
482
What is the square root of 252839 to the nearest integer?
503
What is 15219981 to the power of 1/9, to the nearest integer?
6
What is the ninth root of 163778 to the nearest integer?
4
What is 413798 to the power of 1/2, to the nearest integer?
643
What is the tenth root of 266081 to the nearest integer?
3
What is 3381014 to the power of 1/2, to the nearest integer?
1839
What is the seventh root of 5099 to the nearest integer?
3
What is the ninth root of 270696 to the nearest integer?
4
What is the third root of 7599435 to the nearest integer?
197
What is 9751568 to the power of 1/6, to the nearest integer?
15
What is 15984333 to the power of 1/2, to the nearest integer?
3998
What is the cube root of 2042758 to the nearest integer?
127
What is 121167 to the power of 1/2, to the nearest integer?
348
What is the square root of 2042 to the nearest integer?
45
What is the tenth root of 474764 to the nearest integer?
4
What is the square root of 1227956 to the nearest integer?
1108
What is 74273 to the power of 1/3, to the nearest integer?
42
What is 6775076 to the power of 1/2, to the nearest integer?
2603
What is the square root of 3326695 to the nearest integer?
1824
What is the third root of 201202 to the nearest integer?
59
What is the cube root of 88048 to the nearest integer?
44
What is 1481620 to the power of 1/6, to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
he z'th term of 657, 702, 783, 906, 1077, 1302, 1587, 1938?
z**3 + 12*z**2 + 2*z + 642
What is the q'th term of 293212, 293210, 293208, 293206?
-2*q + 293214
What is the l'th term of -172753, -172749, -172745?
4*l - 172757
What is the c'th term of -451, -1768, -4051, -7372, -11803, -17416, -24283, -32476?
-12*c**3 - 411*c**2 - 28
What is the n'th term of 691, 699, 707, 715, 723?
8*n + 683
What is the f'th term of 5418, 5382, 5322, 5238, 5130, 4998, 4842?
-12*f**2 + 5430
What is the i'th term of 16580, 33154, 49728, 66302?
16574*i + 6
What is the b'th term of 1242, 4530, 10010, 17682, 27546, 39602, 53850?
1096*b**2 + 146
What is the r'th term of -165, -402, -639?
-237*r + 72
What is the z'th term of 1010, 2549, 5102, 8663, 13226?
-z**3 + 513*z**2 + 7*z + 491
What is the p'th term of 227, 927, 2093, 3725?
233*p**2 + p - 7
What is the u'th term of 3886, 3668, 3452, 3238?
u**2 - 221*u + 4106
What is the h'th term of 119076, 238152, 357228, 476304, 595380, 714456?
119076*h
What is the o'th term of 3325, 6660, 9995, 13330, 16665?
3335*o - 10
What is the q'th term of 1943, 3882, 5821, 7760?
1939*q + 4
What is the m'th term of -4439, -4425, -4411, -4397?
14*m - 4453
What is the z'th term of -22, -116, -268, -478, -746?
-29*z**2 - 7*z + 14
What is the h'th term of 710, 1331, 1950, 2567, 3182, 3795, 4406?
-h**2 + 624*h + 87
What is the g'th term of 69972, 139942, 209912, 279882, 349852, 419822?
69970*g + 2
What is the t'th term of 10397, 10412, 10437, 10478, 10541, 10632, 10757, 10922?
t**3 - t**2 + 11*t + 10386
What is the c'th term of 212, 156, 94, 26, -48, -128?
-3*c**2 - 47*c + 262
What is the s'th term of -444, -231, 114, 585, 1176?
-s**3 + 72*s**2 + 4*s - 519
What is the j'th term of 1275, 2581, 3883, 5181, 6475?
-2*j**2 + 1312*j - 35
What is the q'th term of -36279, -72555, -108831, -145107, -181383?
-36276*q - 3
What is the u'th term of 197133, 197131, 197129, 197127, 197125?
-2*u + 197135
What is the l'th term of 34, 705, 2734, 6865, 13842, 24409, 39310, 59289?
124*l**3 - 65*l**2 - 2*l - 23
What is the y'th term of 471, 995, 1577, 2211, 2891?
-y**3 + 35*y**2 + 426*y + 11
What is the a'th term of -1647, -6630, -14947, -26598?
-1667*a**2 + 18*a + 2
What is the h'th term of 585, 4531, 15191, 35907, 70021, 120875?
557*h**3 + 15*h**2 + 2*h + 11
What is the o'th term of 1904, 1957, 2010, 2063?
53*o + 1851
What is the i'th term of -214, -213, -204, -187, -162, -129, -88?
4*i**2 - 11*i - 207
What is the v'th term of -62, -279, -646, -1163, -1830?
-75*v**2 + 8*v + 5
What is the b'th term of 15060, 30075, 45090, 60105, 75120, 90135?
15015*b + 45
What is the x'th term of -2233, -8967, -20181, -35869, -56025?
x**3 - 2246*x**2 - 3*x + 15
What is the b'th term of 129, 535, 1213, 2163, 3385?
136*b**2 - 2*b - 5
What is the f'th term of -136189, -544749, -1225683, -2178991?
-136187*f**2 + f - 3
What is the l'th term of 1406, 5599, 12576, 22337?
1392*l**2 + 17*l - 3
What is the p'th term of -421025, -842048, -1263073, -1684100, -2105129, -2526160?
-p**2 - 421020*p - 4
What is the v'th term of 106950, 106943, 106936, 106929, 106922, 106915?
-7*v + 106957
What is the l'th term of -8655, -17313, -25971, -34629, -43287, -51945?
-8658*l + 3
What is the p'th term of -211, -211, -219, -235?
-4*p**2 + 12*p - 219
What is the x'th term of 5925, 11835, 17745, 23655, 29565, 35475?
5910*x + 15
What is the o'th term of -3388, -3403, -3418?
-15*o - 3373
What is the t'th term of -28340, -28554, -28770, -28988, -29208, -29430?
-t**2 - 211*t - 28128
What is the z'th term of 1449, 1452, 1455, 1458?
3*z + 1446
What is the k'th term of 966, 944, 918, 888, 854, 816, 774?
-2*k**2 - 16*k + 984
What is the u'th term of -4200, -4214, -4236, -4266, -4304, -4350, -4404?
-4*u**2 - 2*u - 4194
What is the u'th term of -16190, -32360, -48530, -64700, -80870, -97040?
-16170*u - 20
What is the y'th term of 2872, 5749, 8626?
2877*y - 5
What is the l'th term of 3149, 12729, 28697, 51053, 79797?
3194*l**2 - 2*l - 43
What is the p'th term of 759, 1282, 1805, 2328, 2851, 3374?
523*p + 236
What is the x'th term of -660208, -660206, -660204, -660202, -660200?
2*x - 660210
What is the m'th term of 20432, 20472, 20538, 20630, 20748, 20892?
13*m**2 + m + 20418
What is the c'th term of 8065, 16057, 23975, 31813, 39565, 47225, 54787?
-c**3 - 31*c**2 + 8092*c + 5
What is the z'th term of -55280, -221100, -497466, -884378
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*q. Suppose -2*h + q + 10 = 0. Let u be (-98)/(-21)*6/4. Calculate the greatest common divisor of u and h.
7
Let c be (-14 + 13)/((-2)/362 - 0). Suppose -71 - c = -4*s. Calculate the highest common divisor of 7 and s.
7
Suppose -5*x = 3*n - 136, 3*n + 33 = 4*x - 92. Suppose -664 = -5*m + 931. What is the greatest common factor of m and x?
29
Let l be 1*1/((-4)/(-12)). Suppose b - 2*j - 93 = 0, j = -l*b + 6*j + 275. Calculate the greatest common divisor of 34 and b.
17
Suppose -19 = 4*i + o, 3*i + 30 = -2*i + 5*o. Let m be -25 - (i + (-2)/(-1)). Let w be m/(1/(-2)*4). What is the highest common factor of w and 55?
11
Let j = -71 - -100. Suppose 2*m + 6 = 0, 2*m - j = -r + 6*m. Calculate the highest common divisor of 119 and r.
17
Let b be (1/(1/(-18)))/((-22)/99). What is the greatest common factor of b and 18?
9
Suppose -5*y + 184 = 4*d, -3*d = y - d - 32. Suppose v - 73 = 5*t, -4*t + 36 = 2*v - y. Calculate the highest common factor of 32 and v.
16
Let i(t) = t**3 + 2*t**2 + 2*t + 2. Let v be i(-1). Let u be -14*1/(-2) + -2. What is the highest common divisor of u and v?
1
Suppose 2*m + 22 = -2*p, 38 - 4 = -4*m - 2*p. Let s be (-2)/m*-3*-19. Calculate the highest common factor of 19 and s.
19
Suppose 22*j + 36 = 25*j. Suppose -11*r = -j*r + 12. Calculate the highest common factor of 132 and r.
12
Let z = -50 + 54. Suppose -z = -k + 3*l + 17, -4*l = 0. Calculate the highest common divisor of 105 and k.
21
Let g = 579 + -522. What is the highest common factor of 627 and g?
57
Let h(j) = -j**3 - j**2 - j + 2. Let i be h(-3). Let q = i - 21. Calculate the greatest common divisor of q and 5.
1
Let w be 180/(-144) - 243/(-12). What is the greatest common factor of w and 2299?
19
Suppose 4*x - 45 = -3*v + 25, 0 = 4*v - 5*x - 52. What is the highest common factor of v and 24?
6
Let o = -1843 + 1867. What is the greatest common divisor of o and 60?
12
Let o be (2/3 - (-17)/(-3))*-4. What is the highest common divisor of 50 and o?
10
Let g(q) = -6*q + 7*q**2 - q**3 - 1 + 2*q + 5 - 6. Let a be g(6). Calculate the highest common factor of a and 30.
10
Suppose 2*m = j + 627, 3*j = 3 - 12. Suppose m = 3*u + 42. Calculate the greatest common factor of u and 18.
18
Let y(a) = a**2 - 3*a - 7. Let w be y(6). Let x(z) = 134*z + 9501. Let n be x(-70). Calculate the greatest common factor of w and n.
11
Suppose 0 = -59*r + 8163 - 1673. Calculate the highest common divisor of r and 44.
22
Suppose 316*r + 2*w - 1160 = 312*r, 870 = 3*r - 2*w. What is the highest common factor of 464 and r?
58
Let k be (-3 - 62)/((-4)/4). Calculate the highest common divisor of 143 and k.
13
Let s = -17 - -42. Let b(g) = -g**2 - 9*g - 3. Suppose -5*k - 20 = 20. Let z be b(k). What is the highest common divisor of s and z?
5
Let l = -312 - -217. Let a = 113 + l. What is the greatest common divisor of 27 and a?
9
Let z be (-1)/((1 - 4)/81). Suppose -s + 6 = 7. Let g be -3*(s - (9 + -1)). Calculate the highest common factor of z and g.
27
Suppose 0 = -2*p + 4*p - 114. Let t = -7 + 9. Let n be (t/6)/((-1)/(-114)). What is the highest common factor of p and n?
19
Let q(s) = 39*s - 33. Let b be q(9). Calculate the highest common factor of 6 and b.
6
Suppose 410 = 8*s + 98. Let q(k) = -3*k + 2. Let r be q(-8). Calculate the highest common divisor of r and s.
13
Let c be 1312/56 - (-6)/(-14). Let i = 5 - 2. Suppose 0 = 2*o - 3*f - 73, f - 116 + c = -i*o. Calculate the highest common factor of o and 4.
4
Let p = -5 + 9. Let u be 1 - ((-84)/p - -1). What is the greatest common factor of u and 189?
21
Suppose -5*y + 4*q = -177, 0*y = -3*y - 3*q + 90. What is the greatest common factor of 264 and y?
33
Let z(m) = -64*m + 2. Suppose -2*x + 13 = -0*x - 5*y, x = 3*y + 8. Let r be z(x). What is the greatest common divisor of r and 44?
22
Let n(f) = -f**2 - 21*f - 38. Let m be n(-18). What is the greatest common factor of m and 64?
16
Let d(l) = -l**2 + 17*l. Let b be d(17). Suppose b*h - 4*h + 272 = 0. Calculate the highest common factor of 170 and h.
34
Let y = 46 - 21. What is the highest common divisor of y and 175?
25
Let v(w) = -2*w + 3. Let m be v(-3). Suppose -m = 4*j - 5. Let p = 2 + j. Calculate the greatest common factor of 9 and p.
1
Let c = -1641 - -2256. What is the greatest common factor of c and 45?
15
Let b = -10696 + 10748. Suppose -4*p = z - 57, 0*z = p - 2*z - 3. Calculate the highest common factor of b and p.
13
Suppose 106213 = 111*s + 16969. Calculate the highest common divisor of s and 24.
12
Suppose 5*o + 4*t = 29, -3*o - o - t + 21 = 0. Let h = -11 - o. Let b = 20 + h. Calculate the greatest common factor of 4 and b.
4
Suppose -j = -5*k - 177, -80*k = -j - 85*k + 187. What is the greatest common factor of j and 169?
13
Suppose -4*u + 33 = 9. Let c = u + 30. Calculate the greatest common divisor of 9 and c.
9
Let v = -14 + 28. Suppose -5*u + 45 = b + 4*b, 0 = -2*b + 2*u - 2. Let p be b/v - 236/(-7). Calculate the greatest common divisor of 51 and p.
17
Suppose 102*p = 97*p + 2030. What is the highest common divisor of p and 58?
58
Let p be 559 - 3 - -11 - 0. Calculate the highest common factor of 243 and p.
81
Suppose 0 = 35*i - 41*i + 5304. Calculate the highest common factor of i and 13.
13
Suppose 5*f = 9*f + 84. Let r be (-1)/(f/(-6) + -4). Let n be 200/r + 11/(-11). Calculate the greatest common factor of 9 and n.
9
Let b be (1940/24 + 5/30)*1. Calculate the highest common factor of b and 9.
9
Let m be 70*(-6)/12*5. Let w = -164 - m. Suppose 4*p = -5
|
{
"pile_set_name": "DM Mathematics"
}
|
eatest common divisor of 42 and 166799346.
42
What is the highest common factor of 30769837 and 966?
161
What is the highest common divisor of 73772093 and 94?
47
What is the greatest common factor of 300563 and 2126413?
2809
Calculate the highest common factor of 963 and 7071630.
321
What is the highest common divisor of 334056 and 61752?
744
What is the highest common factor of 174 and 52863694?
58
Calculate the greatest common factor of 59704 and 218528.
8
Calculate the greatest common divisor of 4194036 and 1721972.
2492
What is the greatest common divisor of 37921430 and 24792?
2066
Calculate the greatest common divisor of 2415413 and 569468.
2413
What is the greatest common divisor of 1708 and 38866996?
28
Calculate the greatest common divisor of 108 and 36192339.
27
What is the greatest common factor of 2200 and 285550?
50
What is the greatest common factor of 14470337 and 2597?
49
What is the highest common divisor of 111546 and 288?
18
Calculate the highest common divisor of 1075 and 465925.
25
What is the highest common divisor of 2621220 and 1176?
84
What is the greatest common divisor of 5117338 and 4826?
254
What is the greatest common divisor of 5677 and 293699?
7
Calculate the highest common factor of 397 and 5080818307.
397
Calculate the greatest common divisor of 103464 and 60833.
479
Calculate the highest common factor of 28 and 17151022.
14
What is the highest common divisor of 938121444 and 14940?
2988
Calculate the greatest common divisor of 1296 and 7807374.
54
Calculate the greatest common factor of 142345 and 140851.
83
What is the greatest common factor of 859449 and 291?
3
What is the greatest common divisor of 4408 and 1673618420?
2204
Calculate the greatest common factor of 447419 and 637.
49
What is the highest common divisor of 339928 and 8984?
8
What is the greatest common divisor of 78025 and 5825?
25
What is the greatest common factor of 22829 and 73149?
37
What is the highest common factor of 15566 and 6230356?
86
Calculate the greatest common divisor of 184553434 and 13.
13
Calculate the greatest common factor of 6047055 and 2212.
553
What is the greatest common factor of 1255603 and 76415?
17
Calculate the highest common divisor of 506400 and 31800.
600
What is the greatest common divisor of 569196 and 1269342?
1746
Calculate the greatest common divisor of 16584 and 49258626.
4146
Calculate the greatest common factor of 29492826 and 3828.
1914
Calculate the greatest common factor of 10220 and 8107526.
1022
Calculate the greatest common divisor of 1498 and 51057618.
214
Calculate the highest common divisor of 33293 and 162131.
197
What is the greatest common divisor of 6038474 and 46176?
962
Calculate the greatest common divisor of 68276 and 2244220.
404
Calculate the highest common divisor of 254 and 261089521.
127
What is the highest common factor of 18653 and 21160?
23
What is the greatest common factor of 54613 and 30004?
13
Calculate the highest common divisor of 7939614 and 3486.
498
What is the highest common factor of 1032416 and 1617?
77
Calculate the highest common divisor of 13692 and 10479596.
652
Calculate the greatest common factor of 499 and 130618739.
499
Calculate the greatest common factor of 85924 and 1476.
4
Calculate the greatest common factor of 54195500 and 900.
100
What is the highest common factor of 10199 and 259439?
31
Calculate the highest common factor of 16 and 18781484.
4
What is the greatest common divisor of 2763655 and 55?
5
Calculate the greatest common factor of 36 and 1445139.
9
Calculate the highest common factor of 912120 and 23370.
30
What is the highest common divisor of 27 and 77307489?
9
Calculate the greatest common factor of 468 and 2837874.
78
Calculate the greatest common divisor of 29583 and 8873.
19
Calculate the highest common factor of 4507624 and 127633.
3113
What is the greatest common divisor of 1730130 and 557520?
3030
What is the highest common factor of 176219 and 99651?
563
Calculate the greatest common factor of 30652 and 1742740.
316
Calculate the greatest common factor of 544 and 800258.
34
What is the greatest common divisor of 85359720 and 96?
24
What is the highest common factor of 1675 and 80725?
25
What is the highest common divisor of 12065000 and 15?
5
Calculate the greatest common factor of 22543735 and 2935.
2935
What is the highest common factor of 3357 and 61311875?
373
What is the greatest common divisor of 25867756 and 37980?
844
Calculate the greatest common divisor of 170536181 and 2692.
673
What is the greatest common factor of 132997 and 168661?
743
What is the highest common factor of 301 and 1187316?
43
What is the highest common factor of 3076 and 735216292?
3076
Calculate the highest common factor of 4158587 and 57.
19
Calculate the greatest common factor of 6580 and 1181695620.
6580
Calculate the highest common factor of 1677009 and 20784.
1299
Calculate the highest common divisor of 1595 and 51363565.
55
Calculate the greatest common factor of 25384479 and 1403.
1403
What is the greatest common factor of 3149602 and 674?
674
What is the greatest common divisor of 5076 and 442692?
108
Calculate the greatest common divisor of 560807 and 6802.
179
What is the greatest common divisor of 21153 and 74811?
33
What is the highest common factor of 372 and 6495306?
186
Calculate the highest common factor of 3604856 and 9256.
712
Calculate the greatest common factor of 27150 and 30032425.
4525
Calculate the highest common divisor of 2409693 and 243048.
1599
What is the greatest common divisor of 386505 and 5103?
189
Calculate the greatest common factor of 1586 and 1370243.
61
Calculate the highest common factor of 112941 and 2773.
47
Calculate the greatest common factor of 9200 and 18620.
20
What is the greatest common factor of 7247248 and 128?
16
What is the highest common divisor of 28 and 10973662?
14
Calculate the highest common divisor of 312 and 685451364.
156
Calculate the highest common divisor of 66464 and 331328.
992
What is the greatest common factor of 377862 and 2100?
6
What is the highest common divisor of 108898746 and 66?
66
Calculate the greatest common factor of 346482 and 3834.
18
Calculate the greatest common factor of 2960 and 1909348.
148
Calculate the highest common divisor of 1424661 and 34489.
2653
What is the highest common divisor of 38972739 and 543?
543
What is the greatest common factor of 28639 and 8812000?
2203
What is the greatest common factor of 72474 and 65142?
282
Calculate the highest common divisor of 83026599 and 16359.
2337
Calculate the greatest common factor of 136 and 3388184.
8
What is the highest common factor of 2532575 and 2841635?
8585
What is the highest common divisor of 2076331776 and 708?
708
What is the highest common divisor of 8034 and 2289?
3
What is the highest common factor of 63 and 2455523?
7
What is the greatest common factor of 3079029 and 222?
111
What is the greatest common divisor of 410 and 1282780?
10
What is the greatest common divisor of 23551638 and 349338?
5214
Calculate the highest common divisor of 103028127 and 19.
19
Calculate the greatest common divisor of 47724027 and 26.
13
Calculate the greatest common factor of 223279717 and 34.
17
Calculate the highest common factor of 4806793 and 184.
23
What is the highest common divisor of 14651406 and 462?
462
What is the highest common divisor of 13758108 and 4368?
1092
Calculate the highest common divisor of 3832830 and 52560.
90
What is the highest common factor of 12956 and 87863?
41
Calculate the highest common
|
{
"pile_set_name": "DM Mathematics"
}
|
n denominator of -145/308142 and -89/44.
6779124
What is the smallest common multiple of 24204 and 39?
314652
What is the common denominator of 113/7809228 and 157/371868?
7809228
What is the lowest common multiple of 48 and 5041744?
15125232
Calculate the common denominator of 137/12030 and -16/56541.
565410
Calculate the common denominator of 5/13096 and 1/3346028.
6692056
What is the least common multiple of 51142 and 15061319?
30122638
Find the common denominator of 43/1324 and -103/5678.
3758836
What is the lowest common multiple of 1089 and 149451?
54250713
Calculate the lowest common multiple of 152813 and 12767.
114762563
Find the common denominator of 103/1373706 and -53/4698.
119512422
Calculate the smallest common multiple of 26300256 and 76.
26300256
What is the least common multiple of 408 and 8922480?
151682160
Calculate the common denominator of -139/504 and 155/6168456.
6168456
Calculate the common denominator of -127/207240 and -119/18962460.
37924920
What is the lowest common multiple of 2160 and 115809120?
347427360
What is the common denominator of -37/1314 and -58/125960697?
251921394
Calculate the common denominator of 149/4536 and 85/757512.
757512
Calculate the least common multiple of 972501 and 60.
19450020
What is the least common multiple of 5159985 and 3095991?
15479955
Find the common denominator of -59/1842204 and 127/182196.
16579836
Find the common denominator of -8/145727 and 16/37969.
128676941
What is the smallest common multiple of 2105769 and 177?
2105769
Calculate the lowest common multiple of 35806157 and 439.
35806157
Calculate the least common multiple of 300186 and 236385.
154595790
What is the lowest common multiple of 10 and 285813925?
571627850
Find the common denominator of 103/506 and -77/347852.
3826372
Calculate the common denominator of -19/158931 and -61/2595873.
7787619
What is the common denominator of -101/1756676 and 81/23222?
29863492
What is the least common multiple of 92703808 and 8?
92703808
Calculate the smallest common multiple of 15176874 and 1965.
75884370
What is the least common multiple of 111033 and 226395?
214848855
What is the smallest common multiple of 1515563 and 76?
115182788
Find the common denominator of -151/138 and -19/2022758.
6068274
What is the common denominator of -47/192 and -75/4988096?
14964288
What is the common denominator of -47/22 and -13/584773538?
6432508918
What is the least common multiple of 219020 and 517?
2409220
What is the smallest common multiple of 46844 and 257642?
515284
What is the least common multiple of 1256 and 256538?
1026152
What is the common denominator of -31/6088658 and -6/41867?
42620606
Find the common denominator of -77/76 and -89/295068.
5606292
What is the least common multiple of 1950 and 6989970?
34949850
Calculate the lowest common multiple of 1254786 and 2509572.
2509572
Find the common denominator of -107/802872 and -169/96180.
919288440
What is the common denominator of -69/127468 and 115/15574272?
171316992
What is the common denominator of -29/8098782 and 20/81?
218667114
Calculate the least common multiple of 22294128 and 1807632.
66882384
What is the common denominator of -109/13032530 and 131/4900?
130325300
Calculate the common denominator of -217/2758080 and 25/28.
19306560
What is the lowest common multiple of 9168644 and 757044?
82517796
What is the smallest common multiple of 1374912 and 122760?
6874560
Calculate the least common multiple of 50 and 214225215.
2142252150
What is the lowest common multiple of 2124 and 1254?
443916
Calculate the common denominator of 37/112194 and 53/66240.
17951040
What is the least common multiple of 1352 and 1456078?
75716056
Calculate the common denominator of 101/101646064 and 103/114351822.
914814576
Calculate the least common multiple of 16992 and 41472.
2446848
What is the smallest common multiple of 6713343 and 28104?
53706744
What is the least common multiple of 48 and 1190934?
9527472
Calculate the common denominator of -1/110100 and -133/240.
440400
Calculate the smallest common multiple of 3376348 and 492.
415290804
Calculate the lowest common multiple of 91312 and 863096.
757798288
Calculate the common denominator of -73/80 and 69/419840.
419840
What is the common denominator of -1/1164312 and -43/889920?
139717440
Calculate the lowest common multiple of 17232 and 152.
327408
What is the lowest common multiple of 4864140 and 180?
4864140
Find the common denominator of -36/325 and -89/20230.
1314950
What is the least common multiple of 18298 and 13006?
16998842
What is the common denominator of 9/4037119 and -14/9535?
20185595
What is the least common multiple of 7 and 109710754?
767975278
What is the least common multiple of 46956 and 134418?
24464076
Calculate the common denominator of -59/144932 and 39/152.
289864
Calculate the least common multiple of 48276 and 269550.
722933100
What is the smallest common multiple of 3458928 and 1886688?
20753568
Calculate the lowest common multiple of 20343830 and 8763496.
569627240
What is the lowest common multiple of 58514517 and 13003226?
117029034
Find the common denominator of 27/1510 and 103/656580.
99143580
What is the lowest common multiple of 1129080 and 43068?
41775960
Find the common denominator of -37/10867350 and -19/1448980.
21734700
Calculate the lowest common multiple of 12 and 7815642.
15631284
What is the smallest common multiple of 1644125 and 30909550?
154547750
What is the lowest common multiple of 874857 and 8?
6998856
Calculate the common denominator of 28/6307005 and 79/120.
50456040
What is the smallest common multiple of 867510 and 770?
9542610
What is the common denominator of -39/25907 and 65/115962?
429175362
What is the lowest common multiple of 33 and 4620594?
4620594
Calculate the lowest common multiple of 2230666 and 44858.
24537326
Calculate the common denominator of -11/12342240 and -53/32040.
1098459360
Calculate the common denominator of -20/3597251 and -24/19.
3597251
What is the least common multiple of 16 and 14436072?
28872144
Calculate the common denominator of -39/352085 and -109/83080.
87317080
Calculate the common denominator of 17/296153793 and 47/9.
296153793
Calculate the common denominator of 85/271018 and -127/924.
11382756
What is the smallest common multiple of 10693 and 10438?
6565502
Calculate the lowest common multiple of 4230632 and 238826.
29614424
What is the least common multiple of 3030776 and 3896712?
27276984
What is the common denominator of -56/23923089 and 65/3537?
71769267
Calculate the common denominator of 51/2597 and 62/77931.
28912401
What is the least common multiple of 2702 and 3634190?
3634190
Calculate the smallest common multiple of 108 and 116010.
696060
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 4*h**w - 4*h**3 wrt h?
18
Suppose -8 - 8 = -2*l. What is the derivative of l - 3 - 4*w**2 - 3*w**2 wrt w?
-14*w
Let b(i) be the first derivative of -4*i**6/3 - i**2/2 + 2. What is the second derivative of b(u) wrt u?
-160*u**3
Let s(j) be the second derivative of j**10/7560 - j**7/840 - j**4/12 + 3*j. Let l(k) be the third derivative of s(k). Find the third derivative of l(a) wrt a.
240*a**2
Find the second derivative of 0*p**4 + 22*p - 2*p**4 - 26*p wrt p.
-24*p**2
Find the third derivative of -19 - 3 - 3*r**5 - 10*r**3 - 2*r**2 - 5 wrt r.
-180*r**2 - 60
Let y(x) be the third derivative of 1/120*x**6 + 0 + 0*x**4 + 1/6*x**3 + 0*x**5 - x**2 + 0*x. What is the first derivative of y(n) wrt n?
3*n**2
Let f(i) = -3*i**3 + 1 + 1 + 2*i**3 + 11*i**2 + 1 + 12*i. Let q be f(12). Find the second derivative of -3*c + 5*c - q*c + 4*c**2 wrt c.
8
Let d(a) be the second derivative of -21*a**5/20 + 5*a**4/4 + 4*a. Find the third derivative of d(x) wrt x.
-126
What is the second derivative of b**2 - 16*b + 16*b**3 - b**2 + 0*b**2 wrt b?
96*b
What is the second derivative of -31*i + i + 54*i**5 - 26*i**5 wrt i?
560*i**3
Let x(c) be the second derivative of -4*c**3/3 + 6*c**2 + 23*c. What is the derivative of x(v) wrt v?
-8
Let w be 2*4*(-9)/(-12). Let q(x) = x**3 - 3*x**2 - 2*x - 3. Let j be q(4). Find the second derivative of -w*d + 0*d**5 - 2*d**j + 2*d wrt d.
-40*d**3
Let i(w) be the second derivative of 2*w**5/5 - 4*w**2 - 9*w. Differentiate i(u) with respect to u.
24*u**2
Let c = 12 + -10. Find the third derivative of -3*i**4 + 2 - 2 - 6*i**c + 7*i**2 wrt i.
-72*i
What is the derivative of 4 - 9*p**3 + 4 + 2 - 2 wrt p?
-27*p**2
Let v(z) be the second derivative of -3*z**8/14 + 13*z**4/12 + 9*z. Find the third derivative of v(b) wrt b.
-1440*b**3
Let m(c) = 4*c. Let f be m(2). Find the third derivative of -4*x**2 - f*x**5 - x**2 + 2*x**5 wrt x.
-360*x**2
Find the first derivative of -5*b**2 + 5 - 3 + 6 + b**2 wrt b.
-8*b
Let g(c) be the first derivative of -c**4/2 + 2*c**2 - 4. What is the second derivative of g(s) wrt s?
-12*s
Let a = -13 - -19. Suppose 1 + 14 = 3*p. Find the second derivative of -p*q - a - 5*q**4 + 6 wrt q.
-60*q**2
Let s = 8 - 7. Let i(f) be the first derivative of -f**2 + 0*f - 1/2*f**4 - s + 0*f**3. What is the second derivative of i(k) wrt k?
-12*k
Let l be 2 - (0 + (1 - -1)). Let t be (l - 4)/(-1 - 1). Find the second derivative of y + 10*y**2 - 4*y**t - 4*y**2 wrt y.
4
Let l(u) be the second derivative of -u**7/420 + u**5/60 + u**3/6 + u. Let z(b) be the second derivative of l(b). What is the second derivative of z(j) wrt j?
-12*j
Let v(c) be the second derivative of -9*c**7/7 + 3*c**4/4 + c**3/6 - c + 18. Find the third derivative of v(d) wrt d.
-3240*d**2
Let n = 12 - 5. Let r be (2/n)/((-5)/(-35)). Find the first derivative of -r*c**3 - 3*c**3 + 3*c**3 + 2 wrt c.
-6*c**2
Let c(q) = -q**3 - 6*q**2 - q - 4. Let y be c(-6). Find the second derivative of 2*p - 2*p - 2*p - y*p**3 wrt p.
-12*p
Let c(i) be the second derivative of -i**6/10 + i**4 + 14*i. Find the third derivative of c(d) wrt d.
-72*d
Find the third derivative of 436*x**2 + 3*x**3 - 5*x**3 - 431*x**2 wrt x.
-12
Suppose -5*k + 12 = -18. Find the third derivative of -h**6 - 2*h**k + 0*h**6 + 3*h**2 + 0*h**2 wrt h.
-360*h**3
Suppose -8 = -3*u - 2. Find the second derivative of -5*y**2 + y**2 + u*y + 3 - 3 wrt y.
-8
Let q(y) = -6*y**3 + 2*y**2 - 2*y + 5. Let w(a) = 7*a**3 - 3*a**2 + 3*a - 6. Let h(l) = 3*q(l) + 2*w(l). What is the first derivative of h(j) wrt j?
-12*j**2
Let o(k) be the first derivative of 0*k + 0*k**2 - 7/3*k**3 - 1/2*k**4 - 1. What is the third derivative of o(x) wrt x?
-12
Suppose 0 = -10*u + 8*u + 10. What is the second derivative of -4*q**5 + 0*q + 7*q - q - q**u wrt q?
-100*q**3
What is the third derivative of 3*b**2 - 14*b**4 + 52*b**4 + 31*b**2 wrt b?
912*b
Let y(g) be the third derivative of g**7/120 + 7*g**4/24 + 5*g**3/3 + 2*g**2. Let f(z) be the first derivative of y(z). Differentiate f(w) with respect to w.
21*w**2
Let w(d) = 4*d + 23. Let l(x) = -2*x - 12. Let i(v) = -7*l(v) - 4*w(v). Let z be i(-6). What is the second derivative of 4*m**3 + 2*m - 3*m**4 - z*m**3 wrt m?
-36*m**2
Suppose -2*r = 3*r - 20. What is the third derivative of -2*z**r + 9*z**4 + 2*z**2 + z**2 + 3*z**2 wrt z?
168*z
Let j(b) = 27*b**3 + 2*b**2 + 33*b - 2. Let y(i) = 55*i**3 + 5*i**2 + 65*i - 5. Let k(f) = 5*j(f) - 2*y(f). What is the second derivative of k(g) wrt g?
150*g
Let b = 19 - 17. Find the third derivative of 9*j**
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m(g) = -g**3 + g**2 + g + 6. Let n(c) = z*h(c) + 3*m(c). Give n(0).
8
Suppose 0 = 5*r + 16 - 6. Let m = -84 - -87. Let q(u) = -8*u**2 - 4*u - 3. Let i(o) = -9*o**2 - 5*o - 5. Let h(b) = m*q(b) - 2*i(b). Give h(r).
-19
Let v = 9831 - 9831. Let k(p) = 2*p**3 - p**2 - 3*p - 5. What is k(v)?
-5
Let p be (0 - (-18)/27)*9. Let a(h) = 5*h**2 + 7 - 6*h**2 + 10*h - 9*h**2 + 17*h**2 - p*h**2. Calculate a(-7).
-14
Let a(h) = -h**2 + 1 + 3*h - 2*h + 3*h. Suppose 2*i + o - 31 = 0, -7 = -3*i - 3*o + 38. Suppose 0 = -15*m + i*m + 3. What is a(m)?
-20
Let p be 1*2 + (1 - -1). Suppose 2*k - 4 = -10. Let x(u) = -10*u - 1. Let y(z) = -4*z - 1. Let v(m) = k*x(m) + 7*y(m). Determine v(p).
4
Let z be 10 - 21 - 33/(-3). Let b(f) = f**2 - 6. Determine b(z).
-6
Let q(f) be the first derivative of f**3/3 + 8*f**2 - 55*f - 571. What is q(-19)?
2
Let a(r) = r**3 + r**2 - 3*r + 1. Let k = -5510 + 5513. Give a(k).
28
Let b(a) = 46*a + 6. Let l = 406 - 407. Determine b(l).
-40
Let i(m) = -2*m**3 + 3*m**2 - m + 6. Let d(b) = 33*b + 259. Let t be d(-8). Let n(p) = 3*p**3 - 6*p**2 + p - 11. Let y(a) = t*i(a) - 3*n(a). Calculate y(-2).
3
Let s be (21/14)/(2/(-8)). Let r(f) be the third derivative of 0*f - 1/12*f**4 + 0 - 47*f**2 - 2/3*f**3. Determine r(s).
8
Let g(n) = 2*n - 2. Let r = 22 + -14. Suppose r = -u + 10. What is g(u)?
2
Let m(j) = j - 4. Let l(z) = 4*z - 11. Let a(w) = -4*l(w) + 11*m(w). Suppose p = -4*x - 2*p - 143, -3*p = x + 29. Let s = x + 37. Calculate a(s).
5
Let j(k) = -7*k**2 + 46*k - 25. Let m(a) = 15*a**2 - 101*a + 49. Let p(w) = -13*j(w) - 6*m(w). Give p(-6).
19
Let h(d) = 11*d**2 + 22*d - 8 + 22*d - 64*d + 21*d - d**3. Suppose -8*b + 5*b = 5*r + 40, 4*r = -3*b - 35. Let a be (r - 1 - -17)*(1 + 0). Determine h(a).
3
Let p(f) = -f**2 + 4*f + 11. Let c be p(0). Suppose -13*i - 72 = c*i. Let u(h) = h - 5. Give u(i).
-8
Let n(b) = 7*b - 14. Suppose -3 = 4*k - g, 3*g - 9 = -4*k + 16. What is n(k)?
-7
Let q = 532 - 528. Let o(t) = -7*t - q*t + 2*t - 2 + 6*t - 2*t. What is o(7)?
-37
Suppose -3*u + 304 = 14*u + 21*u. Let p(s) = 11*s - 10. Let c(t) = -5*t + 5. Let w(n) = -9*c(n) - 4*p(n). Calculate w(u).
3
Let r(z) = 0*z**2 - 5*z**2 - 1 - 37*z + 42*z + 472*z**3 - 471*z**3. Suppose 13 = 4*v + 5. Suppose 0 = 3*n - p - 13, -n - p = v*n - 11. Determine r(n).
3
Let k(w) be the third derivative of -3*w**4/4 + 71*w**3/3 - 36*w**2 - 41. Calculate k(8).
-2
Let t(b) = -2*b**2 - 3*b + 1. Let y(h) = 10 + 5 - 5*h - 3*h**2 - 14. Let n(j) = 5*t(j) - 3*y(j). Give n(-5).
-23
Let l(v) = v**2 - 4. Let i(o) = -6*o**2 - 3*o + 18. Let s(a) = -i(a) - 5*l(a). Suppose 15*k - 16 = 14*k. Let g be 2*-4 + k/4. What is s(g)?
6
Suppose -3*n - 11 - 1 = 0. Let h(a) be the third derivative of -a**6/120 + a**3/2 - 90*a**2. Let b(z) = -z**2. Let t(u) = 4*b(u) + h(u). What is t(n)?
3
Suppose -8 + 148 = 5*c. Let v be 624/c + 6/(-21). Suppose 0 = -3*z - 2 - v. Let g(b) = b**3 + 7*b**2 - 10*b - 4. Give g(z).
12
Let q(n) = 39 - 2*n**2 + 0*n**2 - 2*n**2 + 3*n**2 - 10 + 4*n. What is q(8)?
-3
Suppose 6*m = -6*m + 23 + 13. Let p(q) = -q**2 + 2*q - 2. Determine p(m).
-5
Suppose -t + 13 = 2*s - 2*t, -5*s - 3*t = -27. Suppose -16*y + 55 = 23. Let u(o) = -15*o**2 + 4*o**2 - 11 + 3 + 10*o**2 + y*o**2 - 3*o. Give u(s).
10
Let f(g) be the first derivative of -g**4/4 + 7*g**3/3 - 5*g**2/2 - 4*g - 1381. Let v = 10 + -4. Determine f(v).
2
Let d(f) = -2*f + 1. Let j(s) = -4*s**2 + 1. Let r(x) = 4*d(x) + j(x). Let n(m) = -m**2 - 2*m + 1. Let v(h) = 3*n(h) - r(h). Calculate v(-3).
1
Let o(r) = 10*r. Suppose 16 = -6*a + 58. Suppose 7*k - a = 14*k. What is o(k)?
-10
Let u(i) = -i + 25. Let h(v) = 12. Let z(f) = -5*h(f) + 2*u(f). Let p = 3 - 7. Let r(a) = -a**2 + 5. Let b be r(p). What is z(b)?
12
Let a(j) = -j**3 + 22*j**2 - 3*j + 35. Let c be (27 - 9) + 13 - 9. Give a(c).
-31
Let z be ((-20)/(-6
|
{
"pile_set_name": "DM Mathematics"
}
|
r = -1334 + 1332. Give r*n(p) + 3*k(p).
-2*p - 7
Let y(d) = -3*d**2 - d - 4. Let k(b) = -5. Let x(v) = -24. Let j(w) = 5*k(w) - x(w). Give 4*j(c) - y(c).
3*c**2 + c
Let q(d) = d. Let l(o) = -7*o - 5. Let j(r) = r + 44. Let s be j(-43). Determine s*l(p) + 6*q(p).
-p - 5
Let r(p) = 21*p + 2. Let l(g) = 5472 + 106*g - 10936 + 5474. Calculate -2*l(d) + 11*r(d).
19*d + 2
Let k(a) = 16*a**3 - 10*a**2 + 18*a + 6. Let g = -1131 + 1141. Let f(u) = -5*u**3 + 3*u**2 - 6*u - 2. Give g*f(i) + 3*k(i).
-2*i**3 - 6*i - 2
Let c(q) = 2*q - 7. Let j be 24/40 - 16/10. Let y(h) = 1. Let m(z) = j*c(z) - 6*y(z). Let f(x) = -6*x + 2. Calculate -4*f(d) + 11*m(d).
2*d + 3
Let b(g) = -28*g**2 - 6*g + 3. Let l(a) = 83*a**2 + 20*a - 9. Determine -7*b(v) - 2*l(v).
30*v**2 + 2*v - 3
Let a(f) = 1021*f + 30. Let x(h) = 5106*h + 144. Give 24*a(d) - 5*x(d).
-1026*d
Let z(g) = 7*g**3 + 12*g**2 + 12*g - 3. Let y(w) = 8*w**3 + 10*w**2 + 10*w - 2. Calculate -6*y(v) + 5*z(v).
-13*v**3 - 3
Let z(i) = -9913*i**3 + 253*i**2 + 506*i + 253. Let k(y) = 236*y**3 - 6*y**2 - 12*y - 6. Calculate 253*k(t) + 6*z(t).
230*t**3
Let a(b) be the third derivative of b**5/60 - 69*b**2 + 2*b. Suppose 5*k + 12 = -18. Let y(o) = o**3 + 6*o**2 - o + 2. What is k*a(d) + y(d)?
d**3 - d + 2
Let i(g) = -g**3 + 9*g**2 + 14*g - 7. Let t(v) = v**3 - 5*v**2 - 8*v + 4. Give 3*i(c) + 5*t(c).
2*c**3 + 2*c**2 + 2*c - 1
Let x(t) = -t**2. Let f(b) = 2*b**2 - 1. What is -f(a) - 4*x(a)?
2*a**2 + 1
Let c(n) = n + 3. Let w(j) = -2. Let z be (1/((-5)/(-50)))/(6/(-3)). Calculate z*w(h) - 3*c(h).
-3*h + 1
Let i(d) = -84*d**2 - 44*d - 48. Let l(o) = 17*o**2 + 9*o + 10. What is -5*i(u) - 24*l(u)?
12*u**2 + 4*u
Let l(p) = -4*p**2 - 5. Suppose 64 = 5*s - 2*w - 10, -5*w - 10 = 0. Let d be 4/26 - (-8)/(-52). Let n(k) = s + d + 11*k**2 - 2 + 2. Give -17*l(t) - 6*n(t).
2*t**2 + 1
Let w(k) = k**2 - 48*k - 6. Let n(g) = -g**2 + 48*g + 4. Give 4*n(u) + 3*w(u).
-u**2 + 48*u - 2
Let f(d) = -2*d - 1. Let q(m) = m**2 + 31*m - 3. What is -2*f(y) + q(y)?
y**2 + 35*y - 1
Let s(g) = -7*g**3 - 11*g**2 + 8*g + 8. Let c(x) = 20*x**3 + 34*x**2 - 22*x - 23. Determine -4*c(j) - 11*s(j).
-3*j**3 - 15*j**2 + 4
Let l(f) = f**2 - 6*f + 19. Let m(o) = o**2 - 7*o + 18. What is 6*l(s) - 5*m(s)?
s**2 - s + 24
Suppose 0 = -3*p - h - 30, -h - 3*h = -p - 10. Let m(o) = -1. Let z be 2*(-1 + 1 + -1). Let s(w) = -w**2 + 5. Calculate p*m(j) + z*s(j).
2*j**2
Let t(z) = 2*z**2 + 9*z + 4. Let q be t(-3). Let w(s) = s**2 - 3*s + 2. Let a(i) = -2*i**2 + 5*i - 4. Determine q*w(k) - 3*a(k).
k**2 + 2
Let h(t) = -t**2 - 2*t + 22568 + t - 22569. Let b = 11 - 10. Let u(g) be the third derivative of -g**4/24 - 2*g**2. What is b*u(l) - h(l)?
l**2 + 1
Let x(d) = 10*d + 3. Let h(t) = 2*t. Let o(m) = -2*h(m) + x(m). Let a(w) = 25*w + 13. Calculate 2*a(r) - 9*o(r).
-4*r - 1
Let z(r) = r - 1. Let f(x) = -1. Let m be 1 + (-7)/(3/(-3)). Let w be (-4)/(3*m/(-12)). Calculate w*z(l) - 3*f(l).
2*l + 1
Let m(x) = 160*x**3 - 23*x + 17. Let v(i) = 53*i**3 - 8*i + 6. Determine -6*m(k) + 17*v(k).
-59*k**3 + 2*k
Let h(i) = -164*i**2 + 7*i + 12. Let w(m) = -245*m**2 + 10*m + 17. Calculate -7*h(y) + 5*w(y).
-77*y**2 + y + 1
Let y(o) = o**3 + 13*o**2 + 2*o - 2. Let k(r) = 5*r**3 + 53*r**2 + 9*r - 9. Let t = -1786 + 1777. Give t*y(h) + 2*k(h).
h**3 - 11*h**2
Let w(k) = -9*k**3 + 2*k - 2. Let z(s) = -36*s**3 + 9*s - 9. Let g(x) = -6*x - 75. Let b be g(-11). Calculate b*w(l) + 2*z(l).
9*l**3
Let g(s) = -s**2 + s + 20. Let z(y) = -y**2 - 3*y - 40. Determine 5*g(j) + 2*z(j).
-7*j**2 - j + 20
Let i(x) = 4*x. Let r(f) = -5*f. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
hird smallest value? (a) -0.4 (b) -1094 (c) -8617 (d) 4 (e) -0.1
a
Which is the fifth biggest value? (a) 2 (b) -37 (c) 22 (d) -0.5 (e) 0 (f) -0.22 (g) 1/16
f
Which is the fourth biggest value? (a) 92 (b) 5 (c) 2/47 (d) -1/9 (e) 0 (f) 4
c
Which is the biggest value? (a) 8979352 (b) -4 (c) -1/4
a
Which is the second smallest value? (a) 0 (b) -1/4 (c) 93/7 (d) 13 (e) -2/11 (f) -13/21
b
What is the third smallest value in 347, 4, -7/11, -0.2?
4
What is the smallest value in 5, 7, -0.089, 273, 0.3?
-0.089
What is the smallest value in -14699, 0.5, 2.1?
-14699
Which is the biggest value? (a) -2 (b) -14016251 (c) 0.2
c
Which is the third biggest value? (a) 2 (b) -5/2 (c) -1/373 (d) -19 (e) 0.2 (f) -1.01 (g) -1/8
c
Which is the fourth biggest value? (a) 0.4 (b) -10 (c) 5258 (d) 2 (e) -3/8
e
Which is the third biggest value? (a) 0.8 (b) -0.1 (c) -11 (d) 9/86 (e) 1
d
Which is the biggest value? (a) -21/2 (b) 28 (c) 0 (d) -1 (e) -2 (f) 7/3
b
What is the second smallest value in 2/25, 4.0072, 188?
4.0072
What is the fourth biggest value in 14/5, 10, 0.79, 9, 3?
14/5
Which is the smallest value? (a) 4 (b) -2 (c) 328 (d) -0.7 (e) -10/7
b
Which is the fourth biggest value? (a) 1/8 (b) -78 (c) 1/3 (d) -2 (e) 15/4 (f) 0.2 (g) 26
f
What is the fourth smallest value in 0.4, 35560, 0.15, -7?
35560
Which is the smallest value? (a) -2465 (b) -0.5 (c) -2 (d) -2/3 (e) -17 (f) -0.3
a
Which is the seventh biggest value? (a) 7/6 (b) 16/3 (c) -0.6 (d) 4/3 (e) 2 (f) -0.2 (g) 2/3
c
What is the sixth biggest value in -0.21, 0.2, 0.14, -4, -499, -1/4?
-499
What is the fifth biggest value in -0.14, 19, -103, 4, 3/2, 3?
-0.14
What is the third biggest value in 1/9, 5, -0.5, -2/190177, 1/5, -0.09?
1/9
Which is the fifth biggest value? (a) -6 (b) -4 (c) -0.1 (d) 397397 (e) 4 (f) -3/7
b
Which is the fourth smallest value? (a) 5 (b) 1.16 (c) 21.04 (d) -2 (e) 0.4 (f) -1/5
b
What is the second smallest value in -3, -381/10, -6/7, -4, 59, 0?
-4
What is the fourth biggest value in -388, 0.2, 9, 15?
-388
Which is the fourth smallest value? (a) -2/3 (b) -0.0416 (c) 0 (d) 127 (e) 3 (f) 0.4 (g) 0.3
g
What is the biggest value in 2/19, -2, 0.008, -1/5, 9, -49, -0.15?
9
What is the smallest value in -0.089102, -5, -77?
-77
What is the fourth biggest value in -1, 1/9, 3/7, -1296?
-1296
Which is the second biggest value? (a) -1/8 (b) -4 (c) -375 (d) 4 (e) 0.1198 (f) -1 (g) -1/7
e
Which is the biggest value? (a) 25/13 (b) 1 (c) 9/5 (d) -2/17 (e) -4 (f) 2 (g) 16
g
What is the second smallest value in -7/2, -153230, 2/11, 2/5?
-7/2
What is the third smallest value in -7.1, -0.51, 2/7, -25/14?
-0.51
What is the sixth smallest value in -0.03665, -85, 0, 5, -3, -3/2?
5
What is the second biggest value in 8, 10821, -56, -5?
8
What is the fifth smallest value in -2/21, 1/8, -2/15, 11036, 5, 0.02, 4?
4
What is the fourth smallest value in 14, 1527, 8/11, 1?
1527
Which is the smallest value? (a) 0.7 (b) -0.2 (c) 7 (d) 5 (e) -3/7 (f) -14
f
Which is the second biggest value? (a) 0.5 (b) 7/5 (c) 3 (d) -5 (e) -770 (f) 2/15 (g) -1/4
b
What is the fourth smallest value in 2/9, 72, 5, 7/11, -49, 1, 3?
1
Which is the third biggest value? (a) 2/323 (b) -0.4 (c) 12/89 (d) 0.4 (e) -0.2
a
What is the fifth smallest value in -0.4, 16/7, -0.11, 3/8, 10041?
10041
What is the third smallest value in 6, 3, 2/11, 605/4, -4, 16?
3
What is the smallest value in 0, -1, -808942, 1?
-808942
What is the fifth biggest value in 0.9, -4.7, 0, 1, 0.6, 0.3, -6?
0
Which is the fifth biggest value? (a) 1 (b) 220 (c) -0.044 (d) 3 (e) -3/10
e
What is the sixth biggest value in 3, 0.2, 1/10, 1409, 35, -1?
-1
What is the fourth smallest value in -1, 2/9, 0, 39, -9, -1.56, 3?
0
Which is the second smallest value? (a) 0.4 (b) 2/7 (c) -8/9 (d) 138670
b
What is the third smallest value in -4, 5/4, -0.3, 2/7, 0.04, 4360, 5?
0.04
Which is the second biggest value? (a) 0 (b) 6.3 (c) 17.6 (d) 1/41 (e) 39 (f) -2
c
Which is the fourth smallest value? (a) -146 (b) 28 (c) 1 (d) 7/8 (e) -0.1
c
What is the second biggest value in 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
*g**3 - g**3 + 5*g**3.
15*g**3
Expand (-2*q + 3*q - 2*q)*(-6*q + 3*q + 4*q) - 2*q**2 + 4*q**2 - 4*q**2 + (-1 + 1 + q)*(-7*q + q - q).
-10*q**2
Expand ((-2*s + 2 - 2)*(-4 + 1 + 5) - s + 1 - 1 - s - 4*s + 3*s)*(-5*s**2 + 0*s**2 + 8*s**2).
-21*s**3
Expand (5*w + 7*w - 10*w)*(-6 + 2 + 2)*(3 - 3 - 4*w)*(w - 3*w + w).
-16*w**3
Expand (2*w + 0*w + 0*w)*((-2*w - 3 + 3)*(0 + 2 - 4) + (-6 + 4 + 1)*(-2*w + w - w) - 2*w - 2*w + 6*w).
16*w**2
Expand (4*w - w - 4*w)*(-10*w - 2*w - w) + (0 - 1 + 2)*(-w**2 + 6*w**2 - 4*w**2).
14*w**2
Expand -3*v**3 - 2*v**3 + 4*v**3 + (0 + 0*v**2 - 1 + v**2)*(v + v - 4*v).
-3*v**3 + 2*v
Expand (5*x - x - 2*x)*(1 - 2 + 3 + (-1 - 4 + 3)*(-2 + 4 - 4)).
12*x
Expand (-3*k - 8 + 8)*(5*k - 3*k - k)*(7*k**2 - k**2 - 3*k**2).
-9*k**4
Expand (0 + 0 + 2)*(2 - 2*z - 2) - z - 1 + 1 - 32*z - 16 - 11 + 27.
-37*z
Expand (-4*z + 3*z - z)*(0*z**2 + 0*z**2 + 2*z**2) + 2*z**3 - 2*z**2 + 4 - 4.
-2*z**3 - 2*z**2
Expand -7*q + 7*q - q**3 + 5*q**3 - 5*q**3 - q**3 + 3*q**3 - 5*q**3 + q**3 + (0*q**3 + q**3 - 3*q**3)*(2 + 0 - 4) - 3*q**3 + 4*q**3 + q**3 - 5 + 5 - 2*q**3.
q**3
Expand (-2 + 0 + 3)*(2*a + a - 5*a) - 2*a - 9 + 9.
-4*a
Expand (-2 + 2 + 2)*(-q**4 + q**4 + q**4) + (-2 + 1 + 5)*(q**4 + 2*q**4 - 2*q**4).
6*q**4
Expand 2*x**4 - x**4 + 2*x**4 + (2*x**2 + 0*x**2 + x**2)*(4*x**2 - 4*x**2 + x**2).
6*x**4
Expand (2 - 2 - 2)*(-39*k - 2*k + 5*k) - k + 0*k - k.
70*k
Expand (-b + 2*b + b)*(-53*b - 11*b**4 + 53*b).
-22*b**5
Expand 3*j**5 + 4*j**5 - 3*j**5 + (j + 3 - 3)*(-j**4 - 2*j**4 + 6*j**4).
7*j**5
Expand 0*j**3 + 0*j**3 - 2*j**3 + (-6*j + 3*j + 0*j)*(3 + 2*j**2 - 3) + 11*j**3 + 0*j + 0*j.
3*j**3
Expand (3 - p - 3)*(0*p + 4*p + 3*p) - p**2 + 0*p**2 + 4*p**2 + (5*p**2 - 3*p**2 - 5*p**2)*(-2 + 1 - 1).
2*p**2
Expand (s - 19*s**2 + 4*s**2 + s)*(-2*s**2 + 2*s**2 - 2*s**2) - s**4 + 0*s**4 + 3*s**4.
32*s**4 - 4*s**3
Expand (2*c + c + 0*c)*(2 + 1 - 1) + (4 - 5 + 3)*(0*c + 3*c - 5*c).
2*c
Expand (3*s + 3*s - 8*s)*(0*s + 0*s - 2*s**2)*(3 - 3 + s**2).
4*s**5
Expand (-1 + 0 + 3)*(9*y + 179 - 179).
18*y
Expand (-9 - 15 - 3)*(b + 1 + 0 - 2*b).
27*b - 27
Expand (1 - o - 1 + (-o + 4*o - 9*o)*(2 + 3 - 6))*(-2 + o + 2).
5*o**2
Expand (-2*z - z + 7*z)*(1 - 1 + 2*z).
8*z**2
Expand (a**2 + a**2 - 4*a**2)*(-42*a + 4*a - 92*a).
260*a**3
Expand (-t + 3 - 3)*(1 + 0 + 1) - t + 0*t - 1 - t.
-4*t - 1
Expand (1 + 5 - 1)*(5*v**5 - 5*v**5 + v**5).
5*v**5
Expand ((0 + 0 - 2*x)*(1 + 5 - 4) - 2*x + 4*x - x)*(2888 - 26*x**3 - 2888).
78*x**4
Expand (-2*o + 0*o + 0*o)*(o**2 - 20*o**2 + 9*o**2) + (-4*o + 4*o - 2*o**2)*(4*o - 4*o - o).
22*o**3
Expand (-4*x**3 - 2 - 15*x**3 + 0)*(2*x - 2*x + 3*x).
-57*x**4 - 6*x
Expand ((1 + 4 - 4)*(-3*z + 0*z + 5*z) + 14*z + 15*z - 10*z + 2*z - 2 + 2 + (0 + 2 - 1)*(z - 2*z - 2*z))*(-z**4 - 4*z**4 + 4*z**4).
-20*z**5
Expand (-2 + 6 - 3)*(-5*q**5 - 2*q**5 - 3*q**5).
-10*q**5
Expand (11 + 2*j - 11)*(0 + 3 - 1 + (-5 + 5 + 2)*(-6 + 5 + 3)).
12*j
Expand -5*o**3 + 0*o**3 + o**3 + 2*o**3 - 4*o**3 + 5*o**3 + (2*o**2 - 2*o**3 - 2*o**2)*(-2 + 1 + 0) - o**3 + 4*o**3 - o**3 + (-o**2 - 3*o + 3*o)*(1 - 1 + o).
2*o**3
Expand (3 + 2*q**2 - 3)*(-8 - 5 + 5).
-16*q**2
Expand (3 - 3 + 1 + (-3 + 7 - 2)*(-6 + 2 + 3) + 2 - 6 + 2)*(1 + 0 + 2)*(-12 - 4*b + 12).
36*b
Expand f**5 - 7*f**5 + f**5 + (2 + f**2 - 2)*(4*f**3 - 2*f + 2*f).
-f**5
Expand 2*g**2 - 3*g**2 + 0*g**2 + g**2 + g**2 + 0*g**2 + (0*g + 2*g + 6*g)*(-2*g - 1 + 1).
-15*g**2
Expand 6*d - 10*d - 5*d + ((-5 + 1 + 2)*(5 - 2 - 4) - 1 - 4 + 4)*(-1 + 1 + 2*d).
-7*d
Expand (w**2 - 11*w - 3*w + w)*(-2 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
he units digit of l(-6)?
2
Let u(l) = -l + 23. Let v be u(0). Suppose 0 = b - 0*b - v. What is the units digit of b?
3
Let h be 16/(3/((-27)/(-6))). Suppose -3*d + 4 + 2 = 0. Suppose 2*w + d*w = h. What is the units digit of w?
6
Let b(p) = -p**3 - 9*p**2 + 2*p - 6. What is the units digit of b(-10)?
4
Let h = 13 - 12. Let v(a) = a**3 - 2*a**2 + 1. Let p be v(1). Suppose p = -4*b + h + 11. What is the units digit of b?
3
Let t(q) = 2*q**3 - q**2 + 5*q - 4. Let f be t(3). Suppose -4*g + j = 3*j - 60, -4*j + f = 4*g. What is the units digit of g?
6
Let h = -10 - -4. Let z(p) = p + 5. Let o(s) = -s. Let i(j) = 2*o(j) - z(j). What is the tens digit of i(h)?
1
Suppose 3*s - 30 - 18 = 0. What is the units digit of s?
6
Suppose -2*j - 2 + 14 = 4*b, 5*b + 13 = j. Let m = 21 - j. What is the tens digit of m?
1
Suppose 4*j + 304 = 4*p, -147 = -2*p + 2*j + j. Let q = p + -49. What is the tens digit of q?
3
Let l(d) = 2*d**2 - 2*d + 1. Suppose 0*j = -4*j + 8. Let g be l(j). Suppose g*h - 30 = -r, -25 = -3*r + h - 3*h. What is the units digit of r?
5
Let d(m) = -3*m**2 + 4*m**2 + 3*m - 2 - 1. What is the units digit of d(-4)?
1
Let b(n) = -n**3 + 3*n + 2. Let m be b(-2). Let r(j) = j**2 - 3*j + 4. Let c be r(m). Suppose 4*a = -4*y, y = -2*y + a + c. What is the units digit of y?
2
Suppose -1 + 119 = 2*d. What is the tens digit of d?
5
Suppose -18 = 36*u - 37*u. What is the units digit of u?
8
Suppose -i = -1 - 3. Let m(y) = y + y - i - 4*y**2 + 5*y**2 + y**2. What is the units digit of m(-3)?
8
Suppose 0 = o + 18 - 83. What is the units digit of o?
5
Suppose -2*s + 3 = s. Let i be (-2 + 7)*s - 2. Suppose -2*l + 20 = i*l. What is the units digit of l?
4
Let s(t) = 3*t**2 + 2*t. Suppose -3*w = 5*d - 2*w + 6, -4*w + 12 = 2*d. Let c be s(d). What is the units digit of 4/(c/(-14))*-1?
7
Let y(u) = -u + 2. Let p be y(3). Let t be (-2)/(-2*1)*p. Let l = t + 2. What is the units digit of l?
1
Suppose 0 = -4*y + 2 + 6. Let n(k) = 3*k**3 - 5 - 3*k + 8 - 2 - 4*k**3 + 4*k**2. What is the units digit of n(y)?
3
Suppose -4*l + 111 = -229. What is the units digit of l?
5
Suppose -3*r + 30 = 2*r. Suppose 2*b - 6 = -a, -a - 3*b + 16 = -r*b. What is the units digit of a?
0
Suppose 5 = -w + 2*w. Suppose 2*r - 1 = -3, -w*r = -c + 15. What is the units digit of c?
0
Let l(s) = -4 - s**2 + 3*s**2 - s - s**2. Let w be l(3). Suppose -3*v - 2*c + 19 = 0, -w*v + 17 + 17 = -4*c. What is the units digit of v?
9
Let z = 97 - 38. What is the units digit of z?
9
Let k be 1/(0 - 2)*-4. Suppose -k*h + 5 = 1. Suppose w - 2 = 0, 70 = 5*u + 3*w + h*w. What is the tens digit of u?
1
Let i be -2 - (2/(-1) - 5). Suppose 0 = w - 4*b - 28, -3*b + 48 = -0*w + i*w. What is the tens digit of w?
1
Suppose 20 = k - 4*b, b + 7 - 3 = 0. Suppose -k*f = -0*f + 4. Let l(j) = -9*j**3 - j**2 - j. What is the units digit of l(f)?
9
Let j(r) = -r**2 + 6*r + 8. Let w be j(6). Suppose w = 2*t - t. What is the units digit of t?
8
Let s = 67 - 45. What is the tens digit of s?
2
Suppose -c + 26 = v, 3*c = -2*v + 57 + 19. What is the tens digit of c?
2
Suppose -f = 2*f - p - 146, -4*f + 3*p = -198. What is the tens digit of f?
4
Let p(t) = -t**3 + 6*t**2 + 8*t + 8. Let n be p(7). What is the tens digit of (-3)/n + 212/10?
2
Let f = 78 - 10. What is the units digit of f?
8
Let b(g) = g**2 - 7*g - 6. What is the tens digit of b(9)?
1
Suppose 2*c = -3*n - 559, -5*c = -2*n + 3*n + 1430. Let m be 4*(-2)/(-4) + c. What is the units digit of m/(-55) + (-2)/11?
5
Let v = -103 - -160. What is the units digit of v?
7
Let u(q) be the third derivative of -q**4/12 - 13*q**3/6 - 10*q**2. What is the units digit of u(-9)?
5
Suppose -a + 5 = -16. What is the tens digit of a?
2
Suppose 3*p - 215 = -20. What is the tens digit of p?
6
Let y(v) = 3*v - 2. Let z be (-16)/((-5)/(15/6)). Let l = 12 - z. What is the tens digit of y(l)?
1
Let s(x) = -2*x - 1. Let q = 2 + -4. Let m be s(q). Suppose 0 = -m*g - 5*h + 16, 0 = -5*g + 6*h - 3*h + 72. What is the units digit of g?
2
Suppose 5*p = -4*s - 75, 1 = -3*p + 2*p + 2*s. Let u = p + 39. Let c = u - 20. What is the units digit of c?
8
Let u(j) = -6*j**2 - 3*j**2 + 16*j**3 - 2 - 8*j + 0*j**2 - 15*j**3. What is the tens digit of u(10)?
1
Let p(d) = -3 - 1 - 2*d + 5 - 4. Let b be p(4). Let w = 18 + b. What is the units digit of w?
7
Let h = 49 + -25. Let g = -20 - -26. Let m = h - g. What is the tens digit of m?
1
Let u = -75 + 33. Let t = -2 - u. Suppose -8 = -2*b + 2*g, 4*g - t = -b - 2*b. What is the units digit of b?
8
|
{
"pile_set_name": "DM Mathematics"
}
|
is the next term in -30175, -30208, -30301, -30484, -30787, -31240?
-31873
What is the next term in 34445, 68873, 103299, 137723, 172145, 206565?
240983
What is next in 38100, 76212, 114324, 152436, 190548, 228660?
266772
What is the next term in -695, -2742, -6163, -10964, -17151, -24730, -33707?
-44088
What comes next: -46, 53, 292, 671, 1190?
1849
What comes next: -13085, -52366, -117833, -209486, -327325?
-471350
What is the next term in 309, 327, 345, 363?
381
What is the next term in -21833, -21648, -21463, -21278, -21093?
-20908
What is the next term in 21941, 43879, 65817?
87755
What comes next: 52880, 52853, 52826, 52799?
52772
What comes next: -110, -190, -258, -308, -334?
-330
What is next in 19768, 39451, 59134, 78817?
98500
What comes next: -2681, -10690, -24033, -42710, -66721, -96066, -130745?
-170758
What is next in 421, 409, 397, 385, 373?
361
What is next in 3556333, 3556331, 3556329?
3556327
What comes next: -1011, -1340, -1677, -2022, -2375, -2736, -3105?
-3482
What is next in 1617, 1622, 1615, 1590, 1541, 1462, 1347, 1190?
985
What comes next: 1066, 1052, 1028, 994, 950?
896
What is the next term in -80, -323, -724, -1277, -1976, -2815, -3788?
-4889
What is next in -259, -300, -327, -334, -315?
-264
What comes next: 3056, 3079, 3104, 3131, 3160, 3191?
3224
What is the next term in 16, 17, 20, 25, 32, 41?
52
What comes next: 3640, 3620, 3600, 3580, 3560?
3540
What comes next: -415, -361, -291, -205, -103?
15
What comes next: 2433, 2514, 2595, 2676, 2757, 2838?
2919
What comes next: 8538, 17832, 27126, 36420, 45714?
55008
What is next in 552, 1153, 1796, 2487, 3232?
4037
What comes next: 4060522, 4060521, 4060520, 4060519, 4060518?
4060517
What is the next term in 91, 111, 173, 283, 447?
671
What is next in -1069, -2145, -3223, -4303?
-5385
What is next in 38702, 38671, 38628, 38573?
38506
What is next in -211346, -211344, -211342, -211340, -211338, -211336?
-211334
What is next in -259527, -1038102, -2335727, -4152402, -6488127, -9342902, -12716727?
-16609602
What comes next: 2632, 2640, 2648, 2650, 2640, 2612, 2560, 2478?
2360
What is the next term in 77310, 77308, 77306, 77304, 77302, 77300?
77298
What comes next: 303, 607, 911?
1215
What comes next: 34904, 69814, 104726, 139640, 174556, 209474?
244394
What is the next term in 232, 788, 1714, 3010?
4676
What is next in 766, 725, 662, 583, 494?
401
What is the next term in -4208, -4165, -4068, -3893, -3616, -3213, -2660, -1933?
-1008
What is the next term in 18566, 18621, 18678, 18731, 18774?
18801
What comes next: -1252, -4960, -11140, -19792, -30916?
-44512
What is next in -90, -77, 0, 147, 370, 675, 1068, 1555?
2142
What is the next term in -322, -171, 930, 3455, 7878, 14673?
24314
What comes next: -398, -514, -630, -746, -862?
-978
What is next in 7, 65, 179, 349?
575
What is next in 47, -122, -577, -1462, -2921, -5098?
-8137
What comes next: 11057, 21943, 32831, 43721?
54613
What comes next: 1449, 2671, 3893, 5115?
6337
What is the next term in 7891, 31556, 70997, 126214, 197207, 283976?
386521
What is next in -102, -391, -874, -1563, -2470, -3607, -4986?
-6619
What comes next: 6138, 12331, 18584, 24897?
31270
What is next in -8176, -8036, -7796, -7450, -6992?
-6416
What comes next: -2462, -2220, -1818, -1256?
-534
What comes next: -2752, -2803, -2854, -2905, -2956?
-3007
What comes next: 4345, 4332, 4319, 4306, 4293?
4280
What comes next: -1288, -2726, -4454, -6616, -9356, -12818?
-17146
What is the next term in -97508, -195021, -292536, -390053?
-487572
What comes next: 3994, 3975, 3956, 3937?
3918
What is the next term in -281, -587, -893, -1199?
-1505
What is next in 14931, 14933, 14935, 14937, 14939, 14941?
14943
What is the next term in -1244, -2476, -3710, -4946, -6184, -7424?
-8666
What is the next term in 8287, 16300, 24313, 32326, 40339?
48352
What is the next term in -6494, -12995, -19496, -25997, -32498, -38999?
-45500
What is next in 120, 502, 1060, 1752, 2536, 3370, 4212, 5020?
5752
What is the next term in 17315, 34634, 51951, 69266, 86579, 103890, 121199?
138506
What comes next: -858992, -1717985, -2576978, -3435971?
-4294964
What is next in 66, 93, 122, 147, 162, 161?
138
What is next in -15, -22, -1, 60, 173, 350, 603, 944?
1385
What is next in -329, -685, -1037, -1385, -1729, -2069, -2405?
-2737
What comes next: 13437, 26748, 40059, 53370?
66681
What comes next: -135, 65, 405, 891, 1529, 2325?
3285
What is the next term in -411, -853, -1297, -1743, -2191, -2641?
-3093
What is the next term in -38, -153, -338, -629, -1062, -1673, -2498?
-3573
What is the next term in -69, 69, 443, 1173, 2379, 4181?
6699
What is the next term in -462, -458, -450, -438, -422?
-402
What is next in
|
{
"pile_set_name": "DM Mathematics"
}
|
4 = 12*x - 18*b for x.
32
Solve -3449*p + 1722*p - 152 = -6*c - 1723*p, 2*c - 4*p = 64 for c.
22
Solve 2*p + 108 = -80*o + 85*o - 2*p, 37*o - p = 742 for o.
20
Solve 122*s + 5*r = 152, 5*s - 2*r - 1683275 = -1683282 for s.
1
Solve -3*m = 3*x + 42, 0 = m + 236139014*x - 236139017*x - 38 for m.
-1
Solve 2*j + 24 = 4*l, 37*j + 4*l - 7*l = -26 + 8 for j.
0
Solve -2*v + 162 = 4*n - 0*n, 5*v + 82 = n + 25 for n.
42
Solve 0 = h - 5*c - 134, 5*h = -5*c + 22*c - 12*c + 130 for h.
-1
Solve 237667*i + p + 25 = 237670*i, -31 = -3*i - 2*p for i.
9
Solve -1408*x = -701*x - 704*x + 4*j - 22, 0 = 9*j - 36 for x.
2
Solve -4*k = 12*n - 7*k + 48, 0 = 3*k - 48 for n.
0
Solve -9*b - 3*c = 9 + 54, -5*b = -6*c - 80 for b.
-2
Solve 45*d = 3*l + 222, d - 172 = 4*l - 171 for l.
1
Solve -4*b = 46485 - 46509, 12*m + 9*b = 78 for m.
2
Solve 11*j = 4*i - 20, -389*j + 4*i = -393*j + 20 for j.
0
Solve 56600*c - 56605*c - 37 = -3*j, j + 16 = -4*c for j.
4
Solve -2*i + 412*k - 387*k = 115, -2*k - 15 = -2*i - 3*k for i.
5
Solve -66 = 3*c - 5*c - 5*h - 44, 3*c + 1 = h for c.
1
Solve 3*t + 485*y - 3 = 488*y, 4*y - 3*y + 15 = 8*t for t.
2
Solve -5 = 13*g - 5*o + 3, 14*g - 11*g = -8237*o + 8232*o - 8 for g.
-1
Solve 0 = -3*q + 15, 481583*q = -5*c + 481584*q for c.
1
Solve 237076*k + 56 = 2*c + 237074*k, -8*k = c + 224 for c.
0
Solve -20 = 5*a, -4*h - 2200771 = -2*h + a - 2200767 for h.
0
Solve 26034 - 26086 = 2*v + 4*p, v + 14 = p for v.
-18
Solve -3*m + 59 = -4*u, -15032 = 2*u - m - 15015 for u.
4
Solve 2*x - 2*a = -605 + 529, 2*x - 19*a + 161 = 0 for x.
-33
Solve 10*f - 50*f + 16*f + 7*f + 14*f = -192, 0 = -4*b - f + 64 for b.
0
Solve s - 59765 = 5*c - 59738, 0 = 9*s + 2*c + 39 for s.
-3
Solve 683*d - 3*v = 686*d - 48, 0 = -51*d - 5*v - 58 for d.
-3
Solve 8 = 405*z - 404*z + 2*n, 3*z - 4*n = -2*n + 56 for z.
16
Solve 22842*w + 3*f = 22839*w + 27, 6*w - f = 54 for w.
9
Solve 5*k - r - 2 = -2*r - 2, 30159*r = -18*k + 30155*r for k.
0
Solve 747*v + 68 = -3*r + 746*v - 50, -116 = 3*r + 2*v for r.
-40
Solve 0 = -2*n + 7*z + 9*z - 36, -35*n - 2*z + 2 = -34*n for n.
-2
Solve 3 = 2*b - 3*p, -7000*b + 7003*b - 7*p + 8 = 0 for b.
9
Solve -h = 3*r + 136, 3139*r - 7*h = 3147*r + 341 for r.
-47
Solve 209*k - 104*k - 104*k - 62 = r, r + 62 = -4*k for r.
-62
Solve 723*j + 27 = -3*x + 727*j, -3*x - 24 = 4*j + 3 for x.
-9
Solve 6*v = -3*y - 27, 2*v = 59*y - 52*y + 47 for v.
-1
Solve 111*b - 109*b + 122 = 15*t, -t + 3*t + 60*b = -23*b - 3814 for t.
2
Solve 2*v + 4292 = 21794*c - 20712*c, -2*v + 32 = -c for v.
18
Solve 0 = -28*s + 24*s + 4*x - 7*x + 25, 6 = 2*x for s.
4
Solve 3*f + 24 = -2*y + 34, -20*y + 2*f + 2*f + 883 = 783 for y.
5
Solve 10070*d = 10072*d + 5*g + 68, -48*d - g + 34 = -0*g for d.
1
Solve w + 10 = -2*u, 7*u + 20369 - 20345 = 2*w for w.
-2
Solve h + 11 = 2*p + 27, -h + 112 = -66*p + 52*p for p.
-8
Solve 3*d - 5*r = -260 + 152 + 165, d + 61 = -5*r for d.
-1
Solve 5*z + 5*p - 11 = -0*p + 14, 3*p + 20 = -10*z + 77 for z.
6
Solve 0 = -1444*m + 1442*m - 4*g - 118, 5*m = -13*g - 385 for m.
1
Solve -2*f - 4*w - 20 = 0, -156424*f + 156428*f = 2*w - 50 for f.
-12
Solve -4*o = 7*r - 77, 22*o - 592 = 39*r - 38*r - 129 for r.
-1
Solve 12*j + 3*v = -11*j + 18*j - 68, 3*j + 220 = -13*v for j.
-4
Solve -2 = -19*a + 19*a - s, 15*a - 10*a - 4*s + 83 = 0 for a.
-15
Solve 0 = -0*u - u + 4, -38 = -123*h + 125*h + 2*u for h.
-23
Solve 2*y - 6*y = -2*i + 32, 0 = 8*y - 5*y + 57*i - 322 - 356 for y.
-2
Solve -1901*k = -1906*k - 3*q - 28, q - 45 = -22*k - 156 for k.
-5
Solve 8*i + 38 = -2*n + 7*i, -4*n + 8*i = 3*i + 48 for n.
-17
Solve 112*s = 5*p + 3820 - 129, 3*p + 30 = s for p.
1
Solve -49*f - c = -96*f + 48*f + 1, 4*f = -5*c - 8 for f.
3
Solve 16*q = -3*v - 27, 172*v - 9*q - 55 = 168*v for v.
7
Solve 78 = 3*v + v + 34*x - 8*x, -2*v + 3*v = -5*
|
{
"pile_set_name": "DM Mathematics"
}
|
t q?
168*q
Let w be (12/(-10))/(9/(-30)). What is the second derivative of w*s**4 - 4*s + 3*s**3 - s**3 - 2*s**3 wrt s?
48*s**2
Let q(j) be the first derivative of -1 + 0*j + 0*j**2 + 1/2*j**4 - 2*j**3. What is the third derivative of q(o) wrt o?
12
Let n(z) be the first derivative of 29*z**6/6 - 7*z**2 + 28. What is the second derivative of n(k) wrt k?
580*k**3
Suppose -28 = -3*n - 5*g, 3*n - 20 = 3*g - 8. What is the third derivative of n*q**2 - 3*q**5 - 20*q + q**5 + 20*q wrt q?
-120*q**2
Let y(p) = 3*p**3 - 4*p**2 + 4*p + 1. Let k(r) = r**2 - r - 1. Let h(a) = 4*k(a) + y(a). What is the first derivative of h(d) wrt d?
9*d**2
Let j = 6 + -4. Find the second derivative of -5*u + 5*u - j*u - 5*u**3 + 4*u**3 wrt u.
-6*u
Let a(z) be the third derivative of z**7/420 - z**5/24 - z**4/8 - 7*z**2. Let h(u) be the second derivative of a(u). Differentiate h(f) wrt f.
12*f
Suppose 0 = -5*x + 2*a - 5*a - 32, 12 = -2*x - a. Let s = x - -6. What is the first derivative of -2 + 1 + s*g**4 - 3*g**4 wrt g?
-4*g**3
Let q(l) = 4 + 5 - 2 - l**2 + 0 + 4*l. Let b be q(5). Find the third derivative of 2*k**5 + 0*k**5 + b*k**5 - k**5 - k**2 wrt k.
180*k**2
What is the third derivative of 5*c**5 + 20*c**2 - c**2 + 13*c**2 wrt c?
300*c**2
Let p(m) = -m + 3. Let g(c) = 22 - 6 - 6*c + c. Let v(x) = -x**2 + x + 4. Let i be v(0). Let h(j) = i*g(j) - 22*p(j). Differentiate h(q) with respect to q.
2
Let p(m) = -2*m**3 + 3*m**2 - 3*m. Let y(b) = -4*b**3 + 5*b**2 - 7*b. Let i(h) = 7*p(h) - 3*y(h). What is the third derivative of i(u) wrt u?
-12
Let m(w) be the third derivative of 0*w**4 + 0*w**3 + 0*w + 0 + 1/70*w**7 + 0*w**6 - 4*w**2 - 1/15*w**5. What is the third derivative of m(r) wrt r?
72*r
Let d = -7 + 11. Let u(s) = -s**3 + 13*s**2 - 13*s + 14. Let v be u(12). What is the third derivative of a**2 - a**4 + a**d + 0*a**4 - v*a**6 wrt a?
-240*a**3
Let r be 2*(-1 - 3/(-1)). Let n = 6 - r. Find the first derivative of -o + 2*o - o - n*o**2 + 3 wrt o.
-4*o
Let g(j) be the third derivative of j**7/7 + j**5/30 + 11*j**2. Find the third derivative of g(f) wrt f.
720*f
What is the derivative of 1 - 3 - 5*j**3 - 3*j**3 wrt j?
-24*j**2
Find the third derivative of -84*y**3 + 164*y**3 - 23*y**2 + 33*y**4 - 80*y**3 wrt y.
792*y
Let g(z) = -8*z**4 + 8*z**3 - 6*z**2 + 8*z. Let y(b) = -b**4 - b**3 - b. Let h(t) = -g(t) - 8*y(t). Find the third derivative of h(f) wrt f.
384*f
Suppose -5*h + 5 = 10. Let v = h + 3. What is the second derivative of -2*c - 5*c**2 + 0*c**2 + 3*c**v wrt c?
-4
Let b(i) = 4*i**3 + 5*i**2 + 6. Let k(m) = -4*m**3 - 4*m**2 - 5. Let v(l) = -5*b(l) - 6*k(l). What is the third derivative of v(h) wrt h?
24
Let n(p) be the first derivative of 2*p**3 - 27*p**2/2 - 5. Find the second derivative of n(q) wrt q.
12
Let v(z) be the first derivative of z**7/280 - z**6/180 + 2*z**3/3 - 2. Let j(h) be the third derivative of v(h). What is the third derivative of j(a) wrt a?
18
Let o(x) = -x**3 - 6*x**2 - 7*x - 6. Let z be o(-5). Find the first derivative of z - 2*i + 0 - 2 wrt i.
-2
Find the third derivative of 37*f**2 - 1 + 1 + 8*f**4 + 22*f**4 wrt f.
720*f
Let p(y) be the second derivative of 5*y**8/28 + 5*y**4/6 + 4*y. What is the third derivative of p(l) wrt l?
1200*l**3
Let x(t) = -11*t**2 - 8*t + 16. Let o(i) = -i + 1. Let a(h) = -5*o(h) + x(h). What is the second derivative of a(z) wrt z?
-22
Find the first derivative of 3*v**2 - 2*v**2 - v**2 - 3 + 7*v**3 wrt v.
21*v**2
Suppose 0 = 4*x - 0*x - 28. Let j = x - 4. What is the first derivative of -d**3 + d**3 + 2 - d**j wrt d?
-3*d**2
Suppose 0 = -8*a + 7*a. Find the second derivative of 3*s + 3*s + a*s - 10*s + 2*s**2 wrt s.
4
Let g(b) = b**2 - 4*b - 7. Let j be g(6). What is the derivative of -3*d**3 + j*d - 5*d + 2 wrt d?
-9*d**2
Let z = 21 + -6. Let b be (z/(-10))/((-6)/8). What is the second derivative of a**3 - 3*a**3 + a**3 - b*a - 2*a**3 wrt a?
-18*a
Let k(j) = 7*j**5 + 4*j**3 + j. Let v(y) = -13*y**5 - 7*y**3 - 3*y. Let q(a) = -7*k(a) - 4*v(a). What is the second derivative of q(h) wrt h?
60*h**3
Let h(z) = -2*z - 7. Let s be (4 - 5) + (0 - 5). Let d(o) = -3 - 1 + 3. Let g(k) = s*d(k) + h(k). What is the first derivative of g(y) wrt y?
-2
Let c(u) = u**3 + 4. Let q be c(0). What is the second derivative of -17 - q*o - 6*o**2 + 17 wrt o?
-12
Let q(g) be the first derivative of 9*g**2 - 3*g - 10. What
|
{
"pile_set_name": "DM Mathematics"
}
|
st ten thousand?
-180000
Round -1409 to the nearest 10.
-1410
What is -73923 rounded to the nearest 1000?
-74000
What is -0.114821 rounded to two dps?
-0.11
What is -0.24064 rounded to 1 decimal place?
-0.2
Round 35.173 to the nearest integer.
35
Round -0.000004841 to 7 dps.
-0.0000048
Round 8.2282 to two dps.
8.23
What is 123540000 rounded to the nearest 1000000?
124000000
Round -15.02 to one dp.
-15
Round 18.91 to the nearest integer.
19
Round -0.009778 to 3 decimal places.
-0.01
What is -0.0007307 rounded to 5 decimal places?
-0.00073
Round 0.0016 to 2 decimal places.
0
What is -64707000 rounded to the nearest one hundred thousand?
-64700000
What is -4.42 rounded to the nearest integer?
-4
Round -15685 to the nearest one hundred.
-15700
What is 0.017002 rounded to 4 decimal places?
0.017
Round -119110000 to the nearest one million.
-119000000
Round 139850 to the nearest 10000.
140000
What is 0.0001143 rounded to 5 decimal places?
0.00011
Round -17821000 to the nearest 1000000.
-18000000
What is -0.000221 rounded to four dps?
-0.0002
Round 0.473 to 1 dp.
0.5
Round 0.00001684 to 6 dps.
0.000017
Round -113000 to the nearest 10000.
-110000
What is -0.00002402 rounded to 6 decimal places?
-0.000024
Round 9679000 to the nearest 1000000.
10000000
What is 0.000005002 rounded to seven decimal places?
0.000005
Round -26516000 to the nearest one hundred thousand.
-26500000
Round 0.0061896 to 4 dps.
0.0062
What is 0.000418 rounded to four dps?
0.0004
What is 0.000099567 rounded to 6 dps?
0.0001
Round -391640000 to the nearest one million.
-392000000
Round -152000 to the nearest one million.
0
What is 0.00009831 rounded to 6 decimal places?
0.000098
Round -98.6 to the nearest integer.
-99
What is -7133600 rounded to the nearest one hundred thousand?
-7100000
Round 41150000 to the nearest one million.
41000000
What is 153710 rounded to the nearest 10000?
150000
What is 0.00046131 rounded to four dps?
0.0005
Round -7850000 to the nearest one hundred thousand.
-7900000
What is 1850000 rounded to the nearest one million?
2000000
Round 3035 to the nearest 100.
3000
What is 3974700 rounded to the nearest one hundred thousand?
4000000
Round -35.8 to 0 dps.
-36
Round -221780000 to the nearest one million.
-222000000
Round 0.00017191 to six decimal places.
0.000172
Round 66.58 to the nearest ten.
70
Round 0.0784 to 3 decimal places.
0.078
Round -9410000 to the nearest one hundred thousand.
-9400000
What is -0.47 rounded to one dp?
-0.5
What is -900.89 rounded to the nearest one hundred?
-900
Round -223030 to the nearest 10000.
-220000
Round -46030 to the nearest ten thousand.
-50000
Round -529.85 to 0 dps.
-530
What is 0.000066695 rounded to 5 dps?
0.00007
What is -21.233 rounded to zero decimal places?
-21
What is 0.0719 rounded to three decimal places?
0.072
What is -821300 rounded to the nearest one hundred thousand?
-800000
What is -0.0066 rounded to 3 dps?
-0.007
What is -0.9649 rounded to 1 dp?
-1
What is 81700 rounded to the nearest one thousand?
82000
What is -93.3 rounded to the nearest 10?
-90
Round -14070 to the nearest 10000.
-10000
What is -0.004018 rounded to 4 dps?
-0.004
Round 20440 to the nearest one hundred.
20400
What is 0.00001006 rounded to 6 dps?
0.00001
What is -8136.9 rounded to the nearest one thousand?
-8000
What is 848 rounded to the nearest one hundred?
800
What is -256.09 rounded to the nearest 100?
-300
Round -744.6 to the nearest one hundred.
-700
What is -59.127 rounded to the nearest integer?
-59
Round 64.85 to 0 dps.
65
What is -966000 rounded to the nearest ten thousand?
-970000
Round 0.366 to one decimal place.
0.4
What is 0.0060434 rounded to four dps?
0.006
Round -4490000 to the nearest one hundred thousand.
-4500000
What is 0.882 rounded to two dps?
0.88
Round -0.0000183461 to six decimal places.
-0.000018
Round 0.000005016 to six decimal places.
0.000005
What is 66.1 rounded to 0 dps?
66
Round -0.00000775 to 6 decimal places.
-0.000008
What is -0.0000008161 rounded to 7 decimal places?
-0.0000008
Round -0.000009207 to seven dps.
-0.0000092
Round 0.0000455 to six decimal places.
0.000046
Round -414.2 to the nearest 100.
-400
What is 502000 rounded to the nearest 100000?
500000
What is -0.061 rounded to 1 dp?
-0.1
What is -0.0001794 rounded to 4 dps?
-0.0002
Round 9340 to the nearest one thousand.
9000
What is -3.39442 rounded to 2 dps?
-3.39
What is 0.018683 rounded to 4 decimal places?
0.0187
Round -0.00001538 to 6 dps.
-0.000015
What is -2.0811 rounded to one decimal place?
-2.1
What is -101100 rounded to the nearest ten thousand?
-100000
What is 3091100 rounded to the nearest ten thousand?
3090000
Round 9430000 to the nearest 100000.
9400000
Round -214700 to the nearest 100000.
-200000
Round -0.0043894 to four dps.
-0.0044
Round 3.1786 to 2 dps.
3.18
What is 0.00051036 rounded to four decimal places?
0.0005
What is 0.000004999 rounded to six decimal places?
0.000005
What is -23.22 rounded to zero decimal places?
-23
Round 0.0000013952 to 7 decimal places.
0.0000014
Round 0.000000785 to 7 decimal places.
0.0000008
What is -0.00000127471 rounded to 7 dps?
-0.0000013
Round -0.000000712 to seven decimal places.
-0.0000007
Round -2532460 to the nearest 100000.
-2500000
Round 23000 to the nearest 1000.
23000
What is -11.392 rounded to one decimal place?
-11.4
What is -0.0000115933 rounded to 6 decimal places?
-0.000012
What is -0.0000006669 rounded to 6 dps?
-0.000001
What is 26.43 rounded to zero decimal places?
26
What is -2840 rounded to the nearest 100?
-2800
What is 7950000 rounded to the nearest 100000?
8000000
What is 9350 rounded to the nearest one thousand?
9000
What is 16.587 rounded to 1 dp?
16.6
Round 97020 to the nearest one thousand.
97000
What is 0.032911 rounded to 3 dps?
0.033
What is -0.02796 rounded to 2 dps?
-0.03
Round 0.067 to 2 decimal places.
0.07
Round 10920000 to the nearest one million.
11000000
Round -1172.51 to the nearest 10.
-1170
What is -0.000001205 rounded to 7 decimal places?
-0.0000012
Round 0.1056 to two dps.
0.11
What is 41710000 rounded to the nearest one million?
42000000
What is -1595.2 rounded to the nearest 10?
-1600
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
and give h.
-1626
Rearrange 300*p**3 + 373*p + 126*p - 302*p**3 to the form o + k*p + q*p**2 + l*p**3 and give k.
499
Express k - k + 3*k - 16*k**4 - 1 - 5*k in the form n*k**4 + u*k + s*k**2 + l + m*k**3 and give l.
-1
Express (-11*d**2 + d**2 - 7*d**2)*(-4 + 4 - 3) + 3*d**2 - 6*d**2 + d**2 as k + z*d**2 + s*d and give z.
49
Rearrange (15*v**2 + 6 - 4 - 3*v**2)*(1 + 7 + 4) to the form w*v + r*v**2 + h and give r.
144
Express -81*f**2 - 488*f**2 - 196*f**2 + f - f in the form n*f**2 + k + o*f and give n.
-765
Rearrange 65*o**2 + 38*o**2 - 1 + 1 + (-3*o + 3 - 3)*(-4*o - 2*o + 3*o) to z + m*o**2 + a*o and give m.
112
Express f**2 - 56*f**4 + 80*f**4 - 2*f**2 + (-2*f**3 + f**3 - f**3)*(-2*f + f + 0*f) as g + h*f**3 + v*f**4 + t*f**2 + s*f and give v.
26
Express d**3 + 12140*d + 5 - 12142*d - 2*d**2 + 0*d**3 in the form z*d**2 + v + b*d + m*d**3 and give b.
-2
Express 20*l**2 + 15 - 15 + (0*l**2 - 3*l**2 + l**2)*(0 - 1 - 3) - l - 5 + 5 + 2*l**2 in the form k*l**2 + t + z*l and give z.
-1
Rearrange -z**3 + 6*z - 7 - 2 + 0*z**3 + 6 to v*z + b*z**2 + s + p*z**3 and give v.
6
Rearrange (233 + g**2 - 214 - 2*g**2 + (1 - 1 + g)*(2 - 2 + 3)*(0*g - 3*g + 2*g))*(0*g - 2*g + g) to the form t*g + v + p*g**3 + c*g**2 and give t.
-19
Express -5 - h**2 + 16 - 11 + 2*h + 2*h as a*h + u*h**2 + t and give a.
4
Express (248 - 248 + 15*f)*(1 + 2 - 2) - 4*f + 2*f - f + 5*f - 6*f - 3*f in the form v*f + i and give v.
8
Rearrange (q + 2*q - 2*q)*(5*q + 0*q - 4*q) + (0*q - 119*q - 170*q)*(3*q + 4*q - 6*q) to the form i*q**2 + y + w*q and give y.
0
Rearrange w**4 + 4*w**3 - 2*w**2 - 7 - 3*w + 13*w**3 + 8 - 9*w**3 + 0*w**2 to the form z + p*w**2 + k*w**4 + f*w**3 + i*w and give p.
-2
Rearrange 708*t - 462*t - 773*t to z + l*t and give l.
-527
Express (1 - 1 - 24*l - 16*l)*(-l**2 + l**2 - l**2) in the form h + j*l + k*l**2 + m*l**3 and give j.
0
Express -1 + 1 - 34*n + (12*n - 13*n - 11*n)*(6 + 0 - 5) as h*n + t and give h.
-46
Rearrange (3*y**2 - 2*y**2 + 2*y**2)*(-143*y - 133*y - 255*y) to o*y**2 + v + s*y**3 + j*y and give s.
-1593
Express -63*m**2 + 26*m**2 - 3*m**3 + 58*m**2 + m in the form p + b*m**2 + x*m + h*m**3 and give x.
1
Rearrange -199*s - 40 + 73 - 33 to y*s + a and give y.
-199
Express -7*k**2 - 11 + 1 + 5 in the form q*k + r*k**2 + z and give r.
-7
Rearrange (g**3 + 1 - 4 + 5)*(-g + g + 3*g) + (-2 + 3 + 0)*(-6*g**4 - 12*g**4 - 12*g**4) to the form a*g**3 + m*g**2 + s*g + b + d*g**4 and give d.
-27
Rearrange (-1765 + 3427 + 1690)*(-5*b**2 + b**2 + 3*b**2) to a*b + n + i*b**2 and give i.
-3352
Express 2*a**4 + a - 17*a**4 - 3*a**2 - 2*a + 8*a**4 + 2 in the form b*a**4 + y + g*a + j*a**2 + q*a**3 and give j.
-3
Rearrange -82*r + 32*r + 30*r - 1 + 24*r to w + h*r and give h.
4
Rearrange -15*m + 8*m**3 - m**4 - 5*m - 7*m**3 + 6*m**2 - 2*m**3 to v*m + f + l*m**4 + a*m**3 + c*m**2 and give v.
-20
Express (0 + 1 + 1)*(3 + 0 - 4)*(-3 + 0 + 2)*(22 + 18 + 11)*(-5*i - i + 4*i) as d*i + g and give d.
-204
Rearrange (1340*w**2 + 8*w + 1 - 14*w - 1349*w**2)*(-1 + 2*w + 1) to the form r*w**2 + m*w + f + q*w**3 and give r.
-12
Rearrange -1 - 13*u**2 - 7*u**2 + 6*u**3 + 2 + u + 2*u**4 - 4*u**3 to the form f*u + p*u**2 + k*u**3 + x + m*u**4 and give m.
2
Rearrange (18 + 2*g - 22 + 10)*(5*g + 4*g + 13*g) to the form w*g + j*g**2 + b and give w.
132
Rearrange 9*x**2 + 84*x**2 - x**2 - 3*x + (3*x - 3*x + 2*x**2)*(-5 + 2 + 2) to v*x + p + f*x**2 and give f.
90
Rearrange (5*g + g - g)*(-23*g - 68*g + 241*g)*(2*g**2 + 4*g**2 - 4*g**2) to j*g**2 + m*g**4 + t + q*g**3 + i*g and give m.
1500
Express 10*o**2 - 7*o**2 + 4*o**2 + (4*o + 2*o - 5*o)*(o + 2 - 2) as j + p*o + b*o**2 and give b.
8
Express 8*m + 44*m + 79*m + 12*m in the form f + v*m and give v.
143
Express 5*y**3 + 13*y**3 - 36 - y + 32 - y**2 as f*y**3 + i*y + p*y**2 + d and give i.
-1
Rearrange (-4 + 5 - 3)*(-17 + 19*i + 17)*(-1 - 4 - 8) to the form y*i + o and give y.
494
Express (-f**2 + 0*f**2 + 3*f**2)*(-2 - 2 + 5) + 97 + 7170*f - 7169*f + 20*f**
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt j.
12*j*k + 6210*j - 74*k + 2
What is the second derivative of 2*c**3*f**2*u - 96*c**3*f**2 - 166*c**3 - 2*c**2*f - 2*c*f*u + 3*f**2*u + 2*f**2 wrt f?
4*c**3*u - 192*c**3 + 6*u + 4
What is the third derivative of 1313*c*l**3*w**3 - 8*c*l**3*w**2 - 3*c*l - 3*c*w + 5*l**2*w + 2*w**3 - 18*w wrt l?
7878*c*w**3 - 48*c*w**2
What is the third derivative of 882383*d**3*m*n**3 - d**2*m*n**2 - 169*d**2*n**3 + d**2 + 2*d*m*n**3 + 4*d*m*n + 2*d*n**2 wrt d?
5294298*m*n**3
Find the third derivative of -2835*m**3 - 104399*m**2.
-17010
What is the first derivative of 43*g**3 - 1965*g + 91539?
129*g**2 - 1965
What is the third derivative of -213*f**3*q**2 - 4*f**3*q - 13672*f**2*q - 2*f*q**2 wrt f?
-1278*q**2 - 24*q
Find the second derivative of -1009588*f**2 + 202241*f wrt f.
-2019176
Find the second derivative of 48385*g**2 + 13*g + 3314.
96770
What is the derivative of 548*t**2*y**3 + 39*t**2 + 34*t - 9*y**3 wrt y?
1644*t**2*y**2 - 27*y**2
Differentiate -70*b**2*v - 450226*b**2 - 4624*b*v wrt v.
-70*b**2 - 4624*b
What is the second derivative of -2*g*h**4 + 2*g*h + 39557*g - 13373*h**4 wrt h?
-24*g*h**2 - 160476*h**2
What is the second derivative of -27838*c**5*s - c**2*s**3 - 10*c*s**3 + 445*c*s + 4*s**3 wrt c?
-556760*c**3*s - 2*s**3
Find the third derivative of 269606*u**3 + 4*u**2 + 453*u + 7 wrt u.
1617636
What is the second derivative of -40114*f**3 + 11755*f - 2?
-240684*f
What is the third derivative of 4*s**6 + 13*s**5 - 2339*s**3 - 303*s**2 - s - 1386 wrt s?
480*s**3 + 780*s**2 - 14034
Differentiate -47126*k**4 - 29722 with respect to k.
-188504*k**3
What is the first derivative of t**3*y**3 + 344*t**2*y**3 + 4*y**3 - 3*y**2 + 99*y wrt t?
3*t**2*y**3 + 688*t*y**3
Find the second derivative of j**3 - 22965*j**2*v - j**2 - 64623*j*v + v wrt j.
6*j - 45930*v - 2
Find the third derivative of 91028*q*y**3 - 5*q*y**2 + 2*q - 722 wrt y.
546168*q
Find the first derivative of -10694*z**2 + 11*z + 338214.
-21388*z + 11
Find the second derivative of -25*b*t**3 + 3*b*t + b*v**3 + b*v**2 - 10881*t**5*v**3 + t*v**3 + 175*t*v**2 - 13*v wrt t.
-150*b*t - 217620*t**3*v**3
What is the second derivative of -81308*c**2*k**2*z**2 - 3200*c**2*k**2*z + 9*c**2*k*z - k**2*z**2 + 2*k*z wrt z?
-162616*c**2*k**2 - 2*k**2
Differentiate 434*j**3*v + 9*j*v + 43*v - 89 with respect to j.
1302*j**2*v + 9*v
What is the second derivative of -2*v**5 - 3113*v**4*z**3 - 568*v - 2*z**3 wrt v?
-40*v**3 - 37356*v**2*z**3
What is the second derivative of -37*q**4 + 3*q**3 + 4*q**2 + 895*q?
-444*q**2 + 18*q + 8
Find the second derivative of 5*l**2*p**2 + l**2*p - 641*l**2 + 5*l*p**2 - 151*l*p + 10*p**2 wrt l.
10*p**2 + 2*p - 1282
Find the third derivative of -7*k**6 - 2116*k**3 + 2*k**2 + 8817.
-840*k**3 - 12696
Differentiate 581*n**4 + n**2*z**2 + 14*n*z**2 - 301*z**2 - 127*z - 2 wrt n.
2324*n**3 + 2*n*z**2 + 14*z**2
Find the first derivative of -12*k**2*q**2 + 118*k**2 + 3669*k*q**2 - 409*k wrt q.
-24*k**2*q + 7338*k*q
Find the third derivative of 12*j**2*o**3 + 10535*j**2*o**2 + 3946*j*o**3 + 2*j*o**2 wrt o.
72*j**2 + 23676*j
What is the second derivative of 85239*h**5 + 32*h - 4491 wrt h?
1704780*h**3
Differentiate -14*d**4 + 117*d**3 - 2*d**2 + 41061 with respect to d.
-56*d**3 + 351*d**2 - 4*d
What is the second derivative of -2*c**3 + 17410*c**2 - 515*c + 11?
-12*c + 34820
What is the third derivative of -258124*t**6 - 2*t**2 + 2*t - 2098 wrt t?
-30974880*t**3
Differentiate 6*d**3*l**2 - 176*d**3 + 245*d**2 + 4*d*l**2 - 42*l**2 - 57*l wrt l.
12*d**3*l + 8*d*l - 84*l - 57
What is the third derivative of -181707*o**3 - 71460*o**2 wrt o?
-1090242
Find the first derivative of -29810*h**3*q + 2891*h**3 wrt q.
-29810*h**3
What is the third derivative of 715*k**6 - 2*k**5 - 8*k**4 - 765690*k**2?
85800*k**3 - 120*k**2 - 192*k
What is the first derivative of -4*m*r**2 + 2264*m*r + 319285*m - 2*r**2 - 2*r wrt r?
-8*m*r + 2264*m - 4*r - 2
Differentiate -139607*d**3 - 656385 wrt d.
-418821*d**2
Find the third derivative of -k**3*q**6 - 25*k**3*q - 22*k*q + 24268*q**6 + q**2 wrt q.
-120*k**3*q**3 + 2912160*q**3
What is the second derivative of -l**2*z**3 - 418408*l**2 - 69462*l + 8*z**3 wrt l?
-2*z**3 - 8
|
{
"pile_set_name": "DM Mathematics"
}
|
9. Calculate l(1).
13
Let x(n) = -n**3 + 7*n**2 + 20*n + 89. Calculate x(10).
-11
Let b(m) = -197*m + 4504. Determine b(22).
170
Let f(h) = -8*h**2 - 94*h - 67. Determine f(-11).
-1
Let s(d) = -74*d - 3308. Give s(-42).
-200
Let j(l) = -33*l - 2055. Determine j(-61).
-42
Let m(k) = k**3 + 17*k**2 - 6737*k - 271. Give m(-91).
2
Let w(t) = -20*t**2 + 53*t + 43. Determine w(4).
-65
Let j(i) = 1317*i + 53998. Give j(-41).
1
Let o(g) = 28*g + 165. Give o(-6).
-3
Let a(x) = -x**2 + 31*x - 218. What is a(25)?
-68
Let g(l) = -l**3 + 6*l**2 + 21*l - 24. Determine g(9).
-78
Let i(p) = 48*p - 381. Determine i(-4).
-573
Let m(d) = 64*d - 224. Calculate m(7).
224
Let q(u) = 1266*u - 10135. Give q(8).
-7
Let v(i) = 4*i**3 + 73*i**2 + 13*i - 11. Determine v(-18).
79
Let c(r) = -r**2 - 21*r + 43. Calculate c(-18).
97
Let y(p) = -9*p + 345. Calculate y(34).
39
Let u(o) = -3*o**3 - 19*o**2 - 24*o + 3. Give u(-2).
-1
Let n(j) = -j**2 + 112*j + 1217. What is n(-10)?
-3
Let s(r) = 23*r - 1090. What is s(47)?
-9
Let h(r) = r**3 + r**2 - 27*r + 11. Give h(5).
26
Let a(x) = 13*x - 267. Give a(12).
-111
Let n(f) = -f**3 + 23*f**2 + 81*f - 56. Give n(26).
22
Let m(v) = 23*v + 318. Give m(-15).
-27
Let z(a) = -48*a - 2976. Determine z(-62).
0
Let f(p) = 8*p**2 - 222*p - 1052. Calculate f(32).
36
Let z(f) = f**2 + 59*f - 2432. Give z(-87).
4
Let q(b) = -b**3 + 82*b**2 + 163*b - 309. Calculate q(84).
-729
Let i(z) = 129*z + 14574. Calculate i(-113).
-3
Let o(a) = -36*a + 428. What is o(12)?
-4
Let g(o) = -13*o**3 - 6*o**2 + o + 6. Give g(-2).
84
Let g(i) = -3*i**2 + 62*i - 310. What is g(10)?
10
Let x(j) = -57*j + 31. What is x(3)?
-140
Let h(g) = -13*g**2 + 22*g - 42. What is h(6)?
-378
Let c(k) = -k**3 + 25*k**2 - 151*k + 21. Determine c(10).
11
Let c(m) = m**2 - 50*m + 270. Determine c(6).
6
Let a(x) = -x**3 - 17*x**2 - 58*x - 20. Calculate a(-7).
-104
Let j(i) = -2*i**2 - 15*i - 66. Calculate j(-6).
-48
Let r(a) = -a**2 + 7*a - 40. Calculate r(6).
-34
Let x(b) = -48*b - 60. Give x(-2).
36
Let c(f) = f**3 - 11*f**2 - 42*f - 5. Determine c(-3).
-5
Let s(g) = -6*g**3 - 2*g**2 - 6*g - 169. What is s(0)?
-169
Let x(h) = -17*h**2. Calculate x(0).
0
Let v(u) = 138*u - 828. What is v(6)?
0
Let u(c) = -1765*c - 22948. Determine u(-13).
-3
Let x(v) = -24*v - 42. Determine x(-2).
6
Let y(x) = x**2 + 61*x + 479. Determine y(-8).
55
Let p(u) = -u**2 + 26*u - 29. Give p(16).
131
Let x(f) = 2*f**2 - 15*f + 54. Determine x(11).
131
Let u(v) = -2*v**2 + 71*v - 616. What is u(15)?
-1
Let a(q) = q + 2. Determine a(5).
7
Let v(k) = 144*k - 2684. Determine v(19).
52
Let j(x) = 80*x - 1466. Determine j(21).
214
Let n(j) = 17*j - 153. Determine n(13).
68
Let x(u) = -2880*u - 54678. Give x(-19).
42
Let c(p) = 14*p**2 + 31*p - 1. Give c(2).
117
Let b(w) = -10*w + 358. Calculate b(4).
318
Let p(m) = 30*m + 28. Calculate p(-1).
-2
Let h(d) = 357*d - 19271. Determine h(54).
7
Let g(b) = -29*b**2 - 26*b + 8. Calculate g(1).
-47
Let o(m) = 44*m - 2239. Determine o(43).
-347
Let m(v) = 3*v**2 + 45*v + 11. Give m(-12).
-97
Let h(v) = -135*v**2 + 1225*v - 92. What is h(9)?
-2
Let w(d) = 3*d**2 - 38*d - 351. Determine w(-6).
-15
Let a(f) = 180*f**2 - 1092*f + 76. What is a(6)?
4
Let t(g) = -759*g - 10645. Give t(-14).
-19
Let g(r) = 17*r**3 + r**2 + 7*r - 9. Calculate g(2).
145
Let o(a) = -132*a - 786. Give o(-6).
6
Let u(r) = -34*r**2 + 50*r - 91. Calculate u(2).
-127
Let l(v) = -17*v**2 + 1273*v + 154. Determine l(75).
4
Let g(y) = y**2 - 2*y - 172. Calculate g(0).
-172
Let l(w) = 19*w + 631. Calculate l(-35).
-34
Let g(x) = 2*x**3 - 27*x**2 + 5*x + 45. Determine g(11).
-505
Let q(d) = -286*d + 895. Calculate q(3).
37
Let t(b) = 15*b**2 - 474*b - 204. What is t(32)?
-12
Let y(k) = -k**2 + 39*k + 142. What is y(-4)?
-30
Let j(m) = m**2 + 169*m + 7131. What is j(-86)?
-7
Let s(x) = -85*x - 1955. What is s(-23)?
0
Let r(q) = 59*q - 390. Calculate r(7).
23
Let i(r) = r**2 - 243*r - 2801. Determine i(-11).
-7
Let z
|
{
"pile_set_name": "DM Mathematics"
}
|
Sort b, 0, x in decreasing order.
b, 0, x
Let m be -6 + (3 - (1 + -5)). Put m, -37, -4 in decreasing order.
m, -4, -37
Let j = 48/163 + -28621/326. Let o = j + 86. Sort 7, o, -3/5.
o, -3/5, 7
Let t(m) = m - 16. Let b be t(6). Let y be b/12*(-36)/27. Let i = y + -11/9. Sort 3, i, -12 in ascending order.
-12, i, 3
Let t(v) = v**3 + 4*v**2 - 7*v - 5. Let s be t(-5). Let g = -15.56 + 15.76. Put s, g, 3, -4 in decreasing order.
s, 3, g, -4
Suppose -5*q + 4 = -6*q. Suppose 12 = 13*r - 1. Put 5, q, 0, r in decreasing order.
5, r, 0, q
Let a(l) = -l**3 + 7*l**2 + 11*l - 15. Let d be a(8). Suppose -5*i - d = 1, -16 = 2*j + 3*i. Let h = -3 - -5. Sort h, -2, j.
j, -2, h
Let d(w) = -w**3 - 6*w**2 + 10*w + 7. Let g be d(-7). Let o be g/35*(-10)/(-14). Put 5, 4, o in ascending order.
o, 4, 5
Let y = 1067 - 1060. Put 0, -1, y, -6 in ascending order.
-6, -1, 0, y
Let m(p) = p**2 + 1. Let l be m(-2). Let o = -413.5 + 413. Let h = -356/117 + 26/9. Sort h, l, o in ascending order.
o, h, l
Let x be -113*2*1*(-6)/12. Sort -0.2, x, 1/7 in ascending order.
-0.2, 1/7, x
Let s = -2.4 - -39.4. Let v = s - 38. Sort -1.7, -4, v in ascending order.
-4, -1.7, v
Let t be 3/(18 - 3) + (-44)/20. Let s(v) = -v**2 + 10*v + 12. Let a be s(11). Put a, 0, t in descending order.
a, 0, t
Suppose 0 = 2*w + 4*i + 66 - 18, 96 = -5*w + 2*i. Let s be 2 + 0*5/w. Sort 5, s, 0 in increasing order.
0, s, 5
Let h = -596.9 + 597. Sort -23, h, 2/7.
-23, h, 2/7
Let j be 50/8 - 10/40. Suppose 0 = -4*y + 3*w - 2, 3*y + 4*w = j*w - 1. Sort -4, y, -2 in increasing order.
-4, -2, y
Let j = 0.2419 + -0.5419. Let n = 0 - -4. Sort 0.2, n, j in descending order.
n, 0.2, j
Let p = 373 + -377. Sort -2, 15, p in increasing order.
p, -2, 15
Let l = -52 + 128. Let g = l - 78.3. Put -3, g, 1/5 in increasing order.
-3, g, 1/5
Let z(t) = -t - 27. Let g be z(-47). Let k(p) = -p**2 + 6*p - 1. Let q be k(5). Sort q, -2, g.
-2, q, g
Suppose 36 = 4*f - 7*s + 3*s, 4*s + 15 = f. Let t = f - 10. Let l be (-9 - -13)*1/(-2). Put 1, t, l in ascending order.
t, l, 1
Let a = 442 + -438. Sort -0.096, -2, a.
-2, -0.096, a
Suppose -30 - 50 = -5*b. Let p = b + -6. Let s = -21/2 + p. Sort -2, -0.3, s in ascending order.
-2, s, -0.3
Let x = -12 - -10. Let a = 4.18 + -3.18. Sort x, -0.8, a, 3/2.
x, -0.8, a, 3/2
Let v be 1/4 + (-237)/(-12). Sort v, -5, 3 in ascending order.
-5, 3, v
Let j = -36 + 33. Let m = j - -3. Sort m, -2, 5.
-2, m, 5
Suppose 5*t - 35 = 5*h, 5*t = -0*h + 3*h + 31. Let s(k) = -k**3 + 5*k**2 - k + 6. Let i be s(t). Let f = 252 + -248. Put i, 0, f in descending order.
f, i, 0
Let q = 179977/237652 - 101/2242. Let h = -2/53 - q. Sort h, -0.5, -2/3 in increasing order.
h, -2/3, -0.5
Let d = 343 - 2407/7. Put 1, -2, d in descending order.
1, d, -2
Let r(a) = -a**2 - 9*a - 10. Let p be r(-7). Let n = 478 + -482. Sort n, p, -5, -2 in decreasing order.
p, -2, n, -5
Suppose 54 = -5*a - r, 4*a + 4*r + 52 = r. Let k(n) = -n**2 - 9*n + 8. Let o be k(a). Suppose 2*x = v - 1 - 3, 8 = 2*v - 3*x. Sort v, o, 2 in increasing order.
o, 2, v
Let p be (-2 + 6)*3/(-6). Let l(o) be the third derivative of o**6/120 + o**5/60 - o**4/24 + o**3/2 + 6*o**2. Let h be l(0). Sort h, -3, p in increasing order.
-3, p, h
Let q be 6/5*2/6. Let j be (1/115)/(16/790). Let r = -7/23 + j. Put r, 4, q in ascending order.
r, q, 4
Let s(q) = -q**3 - 28*q**2 - 3*q - 84. Let i be s(-28). Suppose -9 = -3*b - 24, -5*g + 4*b = -5. Sort 5, -12, g, i.
-12, g, i, 5
Let u(d) = -3*d**2 - 74*d + 21. Let n be u(-25). Sort -30, n, 5, 3 in increasing order.
-30, n, 3, 5
Suppose 0 = 4*v + v - 5*x + 540, 429 = -4*v + 3*x. Let u be (4/10)/(7/v). Suppose 9*p + 60 = -6*p. Sort -5, p, u in decreasing order.
p, -5, u
Let n = 45 + -95/2. Let a = 3 + n. Sort a, -1, -3, -4 in descending order.
a, -1, -3, -4
Let h = -817/7 - -117. Put 1/3, h, 0, -3 in decreasing order.
1/3, h, 0, -3
Let a = 635 - 605. Put a, 4, 5, 2 in increasing order.
2, 4, 5, a
Let l be (-2)/3*(4 + -1). Let m = -7.16 - -6.66. Sort -4, l, 0.5, m in decreasing order.
0.5, m, l, -4
Let u = 277 - 1392/5. Let j = -13/10 - u. Let t = 2/5 + j. Sort 1, t, 2/7 in descending order.
1, t, 2/7
Suppose 0 = -2*o + 32*n - 33*n + 30,
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate the least common multiple of m and r(-7).
55
Let k be 5/30 + 1/(-6). What is the common denominator of 44/27 and ((-21)/(-45))/(k + 6/(-65))?
54
Let r(i) = -3*i - 7. Let l = 14 + -14. Suppose l = j - 0 - 6. Calculate the smallest common multiple of j and r(-5).
24
Find the common denominator of -121/6 and (-85)/(-12) + (-8)/(-24)*-9.
12
Let t be 2/4*(-3 + 3). Find the common denominator of ((-76)/(-190))/((-1)/((-235)/64)) and (-142)/(-16) - (1 + t).
32
Let q be (58736/30)/2 + 12/(-36). Suppose 3*w - 3596 = -2*x - 669, -5*w = -2*x - 4873. Let l = w - q. Find the common denominator of l and 23/4.
20
Suppose 22 = o + 7. Calculate the common denominator of 56/27 and (5/o)/(0/3 + -7).
189
Suppose -5*t + 125 = 50. Let m = 324 + -224. What is the common denominator of ((-232)/m)/((-2)/10) and t?
5
What is the common denominator of -1*(8 - 6)*19/17 and -67/6?
102
Let d(a) = a**2 - 11*a + 2. Let x be d(11). What is the least common multiple of (x/(-7))/((-9)/189) and 45?
90
Let t = -309 - -313. Calculate the least common multiple of t and 11.
44
Let h = -47680 - -343534401/7205. Let u = h - -655651/28820. Find the common denominator of u and ((-25)/(-2))/((-12)/(-10)).
12
Let l = 67 + -71. Let r(d) = -d**3 - 4*d**2 - d. Find the common denominator of -21 and r(l).
1
Suppose 4*w = -w - 3*i + 25, -i = -2*w + 10. Let n = -3481 - -55727/16. What is the common denominator of n and (-594)/(-120) + (-3)/w?
80
Let w(s) = s**2 - 9*s + 28. What is the smallest common multiple of w(13) and 14?
560
Let o(i) = i**3 - 4*i**2 - 10*i - 3. Let f be o(6). Suppose -3*k + 2*n = -24, -2*k - 4*n + f = -3*n. What is the lowest common multiple of 30 and k?
30
Let v = -4059 + 16255/4. Find the common denominator of (-4)/6 - (-686)/120 and v.
20
Let b = -314783/51 - -6172. Find the common denominator of -61/54 and b.
918
Let o(v) = v**3 - 37*v**2 - 25*v - 406. Calculate the least common multiple of 144 and o(38).
1584
Let l = 26669/6 - 4430. What is the common denominator of -1 + -30*4/342 and l?
114
Let p = 480 - 470. Suppose 4*z - 5*z + 39 = 0. What is the lowest common multiple of z and p?
390
What is the least common multiple of 126 and ((-561)/(-85) - 6)/(6/50)?
630
Let i = -787/46 - 147/23. Find the common denominator of i and 27/10.
10
Suppose -8 = 80*j - 81*j. Let i be (-2)/(-9) - (-187)/9. Let h = -3 + i. Calculate the least common multiple of j and h.
72
Suppose 8 + 10 = -b. Find the common denominator of 2/b*19/(-2) and 225/140*20/6.
126
Let v = 974 - 5945/6. Let q = -1386 - -13883/10. Calculate the common denominator of q and v.
30
Let q = 77037/45680 - -3/2855. Find the common denominator of q and -45/784.
784
Suppose 16 = -5*i - 4*w, 0*w + 2*w + 8 = -3*i. Let j(t) = -t**3 + 9. Calculate the least common multiple of 10 and j(i).
90
Suppose -4*f = w - 42, 2*w - 57 = f + 45. Let q = w - 46. What is the least common multiple of q and 10?
20
Let l = 22741/5610 - 19/935. Calculate the common denominator of -23/6 and l.
30
Suppose -27*z = -23*z - 648. What is the smallest common multiple of 16 and z?
1296
Find the common denominator of 70/183 and (-50)/7*(-70)/90.
549
Let g = -4/577 + 23697/5770. Calculate the common denominator of (6/(-70))/((-4)/(-230)) and g.
70
Suppose -3*h = -p + 11, -8*h + 10*h + 5 = 3*p. Calculate the lowest common multiple of (-44)/(-4 + p + 3) and 14.
154
Let j = -49 + 47. Let b = -167 + 1067/6. Find the common denominator of -3 - (-306)/(-48) - 6/j and b.
24
Suppose -25*v + 4*v + 273 = 0. What is the least common multiple of 13 and v?
13
Suppose 2*s = s. Let r(q) = s - q**3 - 1 + 4 - q + 4*q**2 + 2. Calculate the least common multiple of r(4) and 1.
1
Let b = 16483/461919 - 124632940633/3545690244. Let w = 76/303 + b. Let q = 474/19 + w. Calculate the common denominator of q and -81/16.
48
Let j = -728 - -937. Calculate the smallest common multiple of j and 57.
627
Suppose 5*d + w = 41, -5*d - 3*w + 11 = -32. Let q(r) = r**2 - 6*r - 13. Calculate the lowest common multiple of 3 and q(d).
3
Let x = -17 - 8. Let y = 27 + x. What is the lowest common multiple of (y - (-20)/(-8))*-14 and 6?
42
Let r be (-3626)/63*78/(-7). Let q = 23069/36 - r. What is the common denominator of q and -31/12?
36
Suppose -3*o - 2 = 5*g, 2*g + 0*o - 16 = 3*o. Suppose g*z = 4*z - 32. Calculate the common denominator of -33/8 and 0 + 1/z*-81.
16
What is the common denominator of 6/5 and ((-393)/15)/(24/5)?
120
Suppose 2*r - d - 24 = 6*r, 3*r + 4*d + 31 = 0. Calculate the least common multiple of 24 and -33*1/(r - -4).
264
Calculate the common denominator of 13/297 and (1 + 291/(-15))/(1386/(-30)).
2079
Suppose -3*h = 2*h + 14875. Let i = 1039 + h. Let f = i + 17402/9. Find the common denominator of f and 91/4.
36
Let j(t) = -2*t**3 - 15*t**2 - 10*t + 16. What is the lowest common multiple of j(-8) and 16?
160
Let y(o) = -o - 6. Let a be -1 + (10 - (2 - 2)). Let f be y(a). Let l = -5 - f. What is the lowest common multiple of 16 and l?
80
Suppose 1924 = 13*c + 117. Find the common denominator of 3*(-1)/(-12) - c/(-132) and 133/12.
132
Suppose 316 = -2*v + 304. What is the least common multiple of 70/5 - (-24)/v and 2?
10
Suppose 0*l = 3*l + 487644. Let c be (l/82104 - -2)*47. Let n = -4/933 - c. What is the common denominator of n and -51/8?
88
Let u(m) = -4*m + 3. Let o be u(12). Let r = o - -75. Suppose 6*d - 4*d - 3*p - r = 0, 0 = -5
|
{
"pile_set_name": "DM Mathematics"
}
|
-2582, -5212, -7840, -10466?
-13090
What is next in 4150, 4169, 4214, 4297, 4430, 4625, 4894?
5249
What is the next term in -18586, -74284, -167120, -297100, -464230, -668516, -909964, -1188580?
-1504370
What is the next term in -308, -985, -1676, -2387, -3124?
-3893
What is the next term in -1365, -3366, -6003, -9276?
-13185
What comes next: -72, -236, -476, -786, -1160?
-1592
What is next in -56779, -56778, -56777, -56776, -56775, -56774?
-56773
What is next in 192, 406, 620?
834
What comes next: -110303, -110290, -110277, -110264, -110251, -110238?
-110225
What is the next term in -355, -1425, -3215, -5731, -8979?
-12965
What is the next term in 51, 270, 481, 678, 855, 1006, 1125, 1206?
1243
What is the next term in -31621, -31625, -31629, -31633?
-31637
What is the next term in 102, 383, 838, 1467, 2270?
3247
What is the next term in 421, -308, -1041, -1778, -2519, -3264, -4013?
-4766
What is the next term in -153, -581, -1295, -2301, -3605, -5213, -7131?
-9365
What is next in 212, 242, 298, 386, 512, 682, 902?
1178
What is next in -144188, -288381, -432574, -576767, -720960?
-865153
What is next in 6, 38, 94, 174, 278, 406, 558?
734
What comes next: -134215, -268432, -402649, -536866?
-671083
What is the next term in 51453, 102912, 154371, 205830?
257289
What comes next: -162951, -162947, -162929, -162891, -162827, -162731, -162597?
-162419
What is the next term in 2702, 4918, 7134, 9350?
11566
What is next in -126, -168, -126, 6, 234, 564, 1002?
1554
What comes next: 1600, 3664, 5728, 7792, 9856, 11920?
13984
What is the next term in 90978, 181982, 272986, 363990, 454994?
545998
What comes next: 126, 46, -64, -186, -302?
-394
What is next in -98, -276, -536, -872, -1278?
-1748
What is next in 1039, 3943, 8715, 15355, 23863, 34239?
46483
What comes next: -17550, -17548, -17516, -17436, -17290, -17060, -16728, -16276?
-15686
What is next in -6275, -6343, -6411?
-6479
What comes next: -652, -682, -728, -790?
-868
What is next in 52, 26, -40, -164, -364, -658?
-1064
What is the next term in -38, 9, 56, 103, 150, 197?
244
What is next in -272, -809, -1608, -2669, -3992, -5577, -7424?
-9533
What is next in 4593, 4606, 4619, 4632, 4645?
4658
What is the next term in -3739, -3771, -3815, -3865, -3915?
-3959
What comes next: 1611, 3460, 5563, 7914, 10507, 13336?
16395
What comes next: 218655, 218653, 218651, 218649, 218647?
218645
What is the next term in 16176, 16186, 16196?
16206
What is next in -854, -3132, -6932, -12254, -19098, -27464, -37352?
-48762
What comes next: -10836, -10824, -10812, -10800, -10788?
-10776
What is next in 151, 310, 467, 622, 775, 926?
1075
What comes next: -199, 67, 333, 599, 865?
1131
What is next in -764, -1513, -2242, -2939, -3592, -4189, -4718, -5167?
-5524
What is the next term in 3885, 3828, 3721, 3558, 3333, 3040, 2673, 2226?
1693
What is next in -12089, -12088, -12087, -12086?
-12085
What is next in -145, -300, -471, -658, -861?
-1080
What is next in -542, -2145, -4834, -8621, -13518, -19537, -26690?
-34989
What comes next: -82214, -82210, -82204, -82196?
-82186
What is next in -10532, -10202, -9870, -9536, -9200, -8862, -8522?
-8180
What comes next: -413, -301, -193, -89, 11?
107
What is next in -143, -299, -445, -575, -683?
-763
What is next in -744, -761, -784, -813?
-848
What is the next term in -155, -576, -997, -1418?
-1839
What is the next term in -38, 7, 142, 361, 658, 1027, 1462?
1957
What is the next term in 5144, 5143, 5144, 5147, 5152?
5159
What comes next: 5305, 21223, 47755, 84901, 132661, 191035?
260023
What is next in -22583, -45173, -67777, -90401, -113051, -135733, -158453?
-181217
What is next in -36966, -73925, -110884, -147843?
-184802
What is the next term in 17672, 35342, 53012, 70682, 88352, 106022?
123692
What comes next: -468, -893, -1318?
-1743
What is the next term in 1468, 1328, 1188, 1048, 908?
768
What is the next term in 740, 3028, 6842, 12182, 19048, 27440, 37358?
48802
What is the next term in 29666, 59336, 89006, 118676?
148346
What is the next term in -3827, -7645, -11455, -15257, -19051?
-22837
What comes next: -1329, -2565, -3703, -4743, -5685?
-6529
What comes next: -814, -810, -802, -790, -774?
-754
What is the next term in -3, -109, -285, -531, -847, -1233, -1689?
-2215
What is the next term in -61362, -61401, -61440, -61479, -61518?
-61557
What is next in 665, 779, 893, 1007?
1121
What comes next: 2106489, 2106480, 2106465, 2106444?
2106417
What is next in 450, 805, 1148, 1473, 1774, 2045, 2280?
2473
What is the next term in 332, 1365, 3108, 5561, 8724?
12597
What comes next: -90, -253, -494, -813?
-1210
What comes next: 264
|
{
"pile_set_name": "DM Mathematics"
}
|
, m: 3, k: 4}. Give prob of sequence hhkw.
3/2380
Calculate prob of sequence xd when two letters picked without replacement from rprpgpdxwwpx.
1/66
Calculate prob of sequence vvv when three letters picked without replacement from vttvvv.
1/5
Two letters picked without replacement from {b: 4, y: 2, m: 1, c: 2}. Give prob of sequence bc.
1/9
Two letters picked without replacement from jtkcjcjcjt. Give prob of sequence kc.
1/30
Two letters picked without replacement from {i: 5, q: 5, g: 2, t: 1, d: 5, o: 1}. Give prob of sequence oq.
5/342
Two letters picked without replacement from {z: 5, i: 1, t: 1, u: 1, e: 1}. What is prob of sequence tz?
5/72
Four letters picked without replacement from {s: 1, x: 7}. What is prob of sequence xxsx?
1/8
What is prob of sequence aa when two letters picked without replacement from {a: 11, m: 3}?
55/91
What is prob of sequence hrxx when four letters picked without replacement from hhrxxr?
1/45
Three letters picked without replacement from oooooooooojooouoj. Give prob of sequence ujo.
7/1020
Calculate prob of sequence qr when two letters picked without replacement from qqqqqqqqqqqrqqqqqq.
1/18
Calculate prob of sequence of when two letters picked without replacement from {c: 1, o: 2, m: 2, l: 3, f: 4, i: 2}.
4/91
Two letters picked without replacement from {z: 1, a: 2, u: 1}. What is prob of sequence ua?
1/6
What is prob of sequence wk when two letters picked without replacement from {i: 6, w: 1, k: 1, n: 1, h: 3}?
1/132
Three letters picked without replacement from {y: 1, z: 2, t: 5, c: 3, u: 1}. What is prob of sequence uyz?
1/660
Calculate prob of sequence eee when three letters picked without replacement from peppep.
0
Three letters picked without replacement from sssssssssqsss. Give prob of sequence ssq.
1/13
Four letters picked without replacement from {a: 4, r: 5, g: 5}. Give prob of sequence argr.
50/3003
Three letters picked without replacement from {s: 12, p: 7}. Give prob of sequence spp.
28/323
Calculate prob of sequence bmm when three letters picked without replacement from {m: 5, b: 2, q: 2}.
5/63
Calculate prob of sequence qqqu when four letters picked without replacement from {q: 3, u: 3}.
1/20
Two letters picked without replacement from ddbdddddi. Give prob of sequence di.
7/72
Two letters picked without replacement from swssw. What is prob of sequence ss?
3/10
Two letters picked without replacement from whtwt. Give prob of sequence ww.
1/10
What is prob of sequence ffaa when four letters picked without replacement from aaff?
1/6
Three letters picked without replacement from {f: 1, q: 3, a: 1, t: 5}. What is prob of sequence fqa?
1/240
Two letters picked without replacement from {m: 9, z: 3}. Give prob of sequence zz.
1/22
Three letters picked without replacement from yslsqjqjeysss. What is prob of sequence qqe?
1/858
What is prob of sequence npuf when four letters picked without replacement from pungf?
1/120
Three letters picked without replacement from {b: 2, r: 4}. Give prob of sequence brb.
1/15
Two letters picked without replacement from {q: 4, w: 2, r: 1}. What is prob of sequence qq?
2/7
What is prob of sequence cccz when four letters picked without replacement from {z: 1, r: 1, c: 1, w: 1, p: 1, u: 2}?
0
Two letters picked without replacement from {p: 6}. What is prob of sequence pp?
1
Three letters picked without replacement from {g: 1, t: 4, e: 2, j: 4}. Give prob of sequence tee.
4/495
Calculate prob of sequence ff when two letters picked without replacement from {d: 17, f: 2}.
1/171
Three letters picked without replacement from zuinlinnil. Give prob of sequence unl.
1/120
Calculate prob of sequence tstg when four letters picked without replacement from gtstssgs.
1/105
Three letters picked without replacement from noanx. What is prob of sequence oxn?
1/30
Calculate prob of sequence cqj when three letters picked without replacement from {s: 11, j: 1, c: 2, q: 4, x: 1, l: 1}.
1/855
Calculate prob of sequence wq when two letters picked without replacement from wqqwgqpgqqgqqgwqwqp.
2/19
Three letters picked without replacement from {j: 3, g: 3, k: 3, p: 11}. What is prob of sequence jgg?
1/380
Calculate prob of sequence ofoa when four letters picked without replacement from ayofoaaayfooafaoyof.
5/646
Two letters picked without replacement from {q: 4, z: 2, y: 3}. What is prob of sequence yz?
1/12
Four letters picked without replacement from ialxaxkaaxx. Give prob of sequence akal.
1/660
Two letters picked without replacement from xxqwxdxxzwzxw. Give prob of sequence wq.
1/52
Calculate prob of sequence xttt when four letters picked without replacement from {p: 1, t: 13, x: 3}.
429/4760
Two letters picked without replacement from duppuuududpdup. What is prob of sequence dd?
6/91
Calculate prob of sequence cu when two letters picked without replacement from uuuucuumuuuucuuuuucu.
12/95
What is prob of sequence vvv when three letters picked without replacement from yyvvvv?
1/5
Calculate prob of sequence rgf when three letters picked without replacement from {r: 1, g: 4, f: 2, h: 4}.
4/495
What is prob of sequence yyvr when four letters picked without replacement from vyyrrryrr?
5/504
Three letters picked without replacement from wowwwvwwvfmmmwrrrm. Give prob of sequence fvr.
1/816
What is prob of sequence vv when two letters picked without replacement from vvpvvvvvvppvpppvvpvg?
33/95
Calculate prob of sequence uig when three letters picked without replacement from iugvv.
1/60
Four letters picked without replacement from {y: 9}. Give prob of sequence yyyy.
1
What is prob of sequence bv when two letters picked without replacement from {v: 1, e: 1, l: 1, k: 1, b: 1}?
1/20
What is prob of sequence haa when three letters picked without replacement from hhhaaa?
3/20
Three letters picked without replacement from {i: 1, h: 1, v: 2, j: 3, m: 3}. What is prob of sequence mij?
1/80
Calculate prob of sequence etze when four letters picked without replacement from stzestzntzteetznzt.
1/408
Three letters picked without replacement from zjzaczjzjzzzajjzzj. What is prob of sequence jcj?
5/816
Four letters picked without replacement from {j: 5, g: 1, d: 1, a: 4, w: 1}. What is prob of sequence jjjj?
1/99
Calculate prob of sequence psh when three letters picked without replacement from {r: 2, h: 1, v: 6, p: 6, s: 2}.
1/340
What is prob of sequence qnm when three letters picked without replacement from qmffnffq?
1/168
Two letters picked without replacement from {h: 1, v: 3, i: 1}. Give prob of sequence hi.
1/20
What is prob of sequence vr when two letters picked without replacement from prvsrwvvpprvpvvsr?
3/34
Two letters picked without replacement from {k: 1, v: 1, z: 1, h: 1, s: 2, a: 1}. What is prob of sequence ah?
1/42
What is prob of sequence ktkk when four letters picked without replacement from tcckkkcc?
1/280
Three letters picked without replacement from {l: 5, j: 1, n: 4, y:
|
{
"pile_set_name": "DM Mathematics"
}
|
nits digit of z(n)?
3
Suppose 3*n - 120 = -n. Let o(s) = s - 4. Let q be o(6). Suppose 0*a + 2*a + n = q*f, -f + 4*a = 0. What is the units digit of f?
0
Suppose 5*r - 6 - 1 = -3*p, 4 = -4*p. Suppose r*k = k - 5*u + 126, -3*u + 12 = 0. What is the units digit of k?
6
Let q = 3242 - 1931. What is the thousands digit of q?
1
Let t = -42 + 44. Suppose 5*m - 3*r = 450, t*r = m - 2*r - 73. What is the tens digit of m?
9
Let q(m) = -767*m - 93. What is the tens digit of q(-2)?
4
Suppose -4*s + 3*a - 20 = 0, -5*s + 2 = -3*a + 27. Let q(m) = -m**3 - 5*m**2 + m - 5. Let z be q(s). What is the tens digit of (128/(-20))/(2/z)?
3
Let t be (2/(-4))/(5/(-30)). Suppose -3*k + k = -4*y - 18, 2*k + y = t. What is the units digit of 47/k + 8/6?
7
Suppose -8*f = -634 + 106. Suppose 0 = -g + f - 2. What is the units digit of g?
4
Suppose -19 = -3*t + 2. Let s be t/(-35) + 146/5. What is the tens digit of 1*s + 9 + -8?
3
Let f = -13 + 15. Suppose 4*o + 6 = 3*u, -o = -5*u + f - 9. Let b(s) = -3*s**3 - 2*s**2 + 3*s + 3. What is the units digit of b(u)?
3
Let l = -992 + 1561. What is the units digit of l?
9
Let g = 772 + -506. What is the units digit of g?
6
Let g = -91 + 337. What is the hundreds digit of g?
2
Let l be 0 + 2 + 14/(-7). Suppose l = k + 25 + 11. What is the units digit of (-3)/(k/(-8))*-3?
2
Suppose -6*i + 780 - 252 = 0. What is the units digit of i?
8
Let d = -3 - -3. Suppose -2*k + 201 + 14 = 3*n, 2*n + k - 143 = d. What is the units digit of n?
1
Suppose -24*f = -31*f + 3864. What is the hundreds digit of f?
5
Let q = 14200 + -9206. What is the thousands digit of q?
4
Let u be (-6)/14 + 59/7. Suppose -4*s - 356 = -u*s. What is the tens digit of s?
8
What is the units digit of -89 + 101 - (1 - -3)?
8
Let j(r) = -10*r + 209. Let w be j(0). Let l = -114 + w. What is the units digit of l?
5
Suppose 2*k - 33*k = -3937. What is the hundreds digit of k?
1
Suppose 0 = 4*t + 84 + 292. Let y = t - -284. What is the hundreds digit of y?
1
What is the tens digit of -8 + -974*(-6)/4?
5
Suppose -u = 4*c - 137, 0*c + 3*c = 3. What is the units digit of u?
3
Suppose -195 = -g + 100. What is the units digit of g?
5
Let i be 1*(-3)/(-3)*3. Suppose 4*y = -3*p, 3 = i*p + 3*y - 0. Suppose 2*k - p = 50. What is the units digit of k?
7
Let x = -4 + 7. Let y(w) = 3*w**2 - 3*w + 5. What is the tens digit of y(x)?
2
Suppose 114*m - 96*m = 10026. What is the tens digit of m?
5
Let r(c) = c**2 - 2*c + 640. Let l be r(0). Suppose 5*p - 530 = l. What is the tens digit of p?
3
Suppose q = -2*q + 3*n - 267, -2*n - 438 = 5*q. What is the units digit of (q/5)/(13/(-65))?
8
Let x = 1055 + -592. What is the units digit of x?
3
Let r(p) = 4*p**3 - 31*p**2 + 19*p - 41. What is the thousands digit of r(10)?
1
Let f(z) = 2*z - 6. Let s = 1 - -6. Let u be f(s). Suppose -7*i + u*i - 19 = 0. What is the tens digit of i?
1
Suppose -9 = 3*q - 36. What is the units digit of (3/q)/((-1)/(-48))?
6
Suppose -o - 5*a + 280 = 0, 10*o - 6*o - 1103 = -3*a. What is the tens digit of o?
7
Suppose -4*d + 2 = -3*d. Let n(v) = -7*v**2 + 0 - v + 12*v**2 + 1. What is the units digit of n(d)?
9
Let a be (20/(-6))/(-4*(-2)/(-12)). Suppose 7*y - 2*y + 25 = 0, -a*z + 2*y = -860. What is the hundreds digit of z?
1
Let r = -41 - -81. Let s = r + -23. What is the tens digit of s?
1
Suppose -n - 4 = -c - 2*n, n = 2. Suppose 3*k = d - 40, k = 5*k - c*d + 56. What is the units digit of (-4)/k + (-8)/(-3)?
3
Suppose 3*t = 15, 4*i + 113 - 1223 = 2*t. What is the hundreds digit of i?
2
Suppose -6*q + 92 = -118. Let z = 39 - q. What is the units digit of z?
4
Let n(i) = -i**3 + 9*i**2 - 7*i - 4. Let d be n(7). Suppose -3*x + 3*a = -171, x - 2*x + 5*a = -d. What is the units digit of x?
0
Let u = -302 - -647. What is the units digit of u?
5
Let x(s) = 2*s**2. Let n be x(-1). Let p(z) = 0*z**2 + 19 + n*z**2 - z - z**2. What is the tens digit of p(0)?
1
Let w = -12 - -18. Let t(l) = -l**3 + 7*l**2 - 3*l + 3. Let u be t(w). What is the units digit of (-14)/u + (-14)/(-3)?
4
Let i(l) = 2*l**3 - 12*l**2 + 12*l - 9. What is the hundreds digit of i(8)?
3
Suppose -20 = -5*p + 15. Suppose -p*a + 75 + 191 = 0. What is the tens digit of a?
3
Suppose 5*v + 12 - 27 = 0. Suppose -2*i = v*j - 100, -5*j + 2*i = -112 - 60. What is the units digit of j?
4
Let f be (2/(-8)*2)/(8/96). Let x = f - -131. What is the tens digit of x?
2
Let b(l) = -30*l + 4. Let y be (0 + 3)*(-266)/21. Let h be y/(-57)*(-6)/4. What is the units digit of b(h)?
4
Let y = -751 + 2915. What is the tens digit of y?
6
Let r(l) = 10*l - 1. Let w be r(3). Suppose -m = 4*g + 20, 5*g - m + 22 = -3*m. Let v = g + w. What is the tens digit of v?
2
Let s(y) = -33*y**3 + y**2 + 2*y - 2. Let g be s(2
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon factor of l and 8.
8
Let x = 14 + 4. Let b be (-2)/(-3) + 5328/27. What is the greatest common divisor of b and x?
18
Let n = 120 + -75. Suppose 0 = 3*b - 2*b - 5. Calculate the highest common factor of n and b.
5
Suppose -2*g + 5*r = 3*g + 10, -4*g - 2*r = -4. Suppose 0*p + 4*p - 1496 = g. Suppose 4*b - p = 2*b. What is the highest common factor of b and 17?
17
Let p be (-12 + -2)*(-3)/6. What is the greatest common factor of 28 and p?
7
Let a(z) = -5*z - 3. Let k be a(-1). Calculate the highest common factor of 10 and k.
2
Let k be (2 + 0)/((-6)/(-273)). What is the highest common factor of k and 13?
13
Let p = 96 + -54. What is the greatest common divisor of 6 and p?
6
Let a = -50 + -36. Let h be (-5)/(-20) - a/8. Calculate the greatest common divisor of h and 44.
11
Let x = -164 + -157. Let y be 0 - (2 - 430/(-2)). Let i = y - x. What is the greatest common divisor of 13 and i?
13
Let u be 32/20 - 4/(-10). Suppose -u*n + n = 13. Let m = n + 25. What is the highest common factor of 8 and m?
4
Suppose b = 2*z + 11, -6*z = -4*b - z + 29. Suppose 0 = n - 5 - b. Let l be (45/2)/(3/n). What is the highest common divisor of l and 15?
15
Suppose 5*l - 2 = 8. Suppose 2*s - l*h = -2*s - 442, 0 = -5*s - 4*h - 585. Let o = s + 245. Calculate the highest common divisor of 12 and o.
12
Suppose 24 = j - s + 5, 4*s + 42 = 2*j. Calculate the highest common factor of 136 and j.
17
Let m be 4/((-92)/(-28) + -3). What is the highest common factor of m and 21?
7
Let a = -3 - -6. Let j(k) = 2*k**3 - 1. Let o be j(1). Let i(t) = 5*t**3 + t**2 + t - 1. Let b be i(o). What is the highest common factor of b and a?
3
Let j(h) = 8*h**3 + h**2 - 4*h - 4. Let g(n) = n + 1. Let p(u) = -4*g(u) - j(u). Let t be p(1). Let r = 19 + t. What is the highest common factor of r and 30?
10
Let f be 2/(-9) + (-2574)/81. Let h be 0 + (-3)/(6/f). Calculate the greatest common factor of 64 and h.
16
Suppose -c + g = -2*c + 16, 4*c - 3*g = 29. Let v be 5694/65 + (1 - (-3)/(-5)). What is the highest common factor of v and c?
11
Suppose -58 = -2*m + 14. Suppose 0*w = 2*q - 5*w - 5, 5*q = 5*w + 5. Suppose 4*o = n + 4 + 12, q = -n. What is the highest common factor of m and o?
4
Let c = 91 + -81. What is the greatest common divisor of 25 and c?
5
Suppose 2*u - u - 15 = 0. Suppose -f = -17 - 13. Calculate the greatest common factor of u and f.
15
Let h = -2 - 7. Let p = -3 - h. What is the highest common factor of p and 4?
2
Suppose -l = -4*f + l + 154, -61 = -f + 5*l. What is the highest common factor of 9 and f?
9
Let o = -19 + 27. Suppose d = -3 + o. Let t = -19 + 44. Calculate the greatest common factor of d and t.
5
Suppose 0 = 5*w + 3*t - 12, 4*w - 2*t = t + 15. Suppose 0 = w*x + 2*x. Suppose x*o = 2*o - 112. Calculate the greatest common divisor of 14 and o.
14
Let a be 2*((-10)/4)/1. Let l be (-6)/a + (-2)/10. Let h be 24/3 + (l - 2). Calculate the highest common factor of h and 63.
7
Suppose -3*f + 6 = -0*f. Let c be f/5 + (-140)/(-25). Suppose 0 = -5*m - t + 34, -3*m - t + 22 = -0*t. What is the greatest common factor of m and c?
6
Suppose -i = -19 - 56. Let r = i - -45. Suppose -2*v = v - 36. What is the highest common divisor of v and r?
12
Suppose 2*v = 2 + 6. Suppose -4*c + 20 = -4*l, c = 5*c + 4*l + 20. Suppose -3*s + 5*u + 108 = 0, -u + 0*u = c. What is the highest common factor of s and v?
4
Let p be 31*(1 - -1) + (-180)/(-45). What is the highest common divisor of p and 66?
66
Let m(k) = -9*k**3 + 2*k**2 - k - 2. Let i be m(-2). What is the greatest common divisor of 32 and i?
16
Suppose 2*v - 4*v - 8 = 0. Let t be 8 + (-1 - v) + -1. Calculate the highest common factor of t and 20.
10
Let u be (-38)/34 - -1 - 8616/(-408). Calculate the greatest common divisor of u and 3.
3
Let h = -7 - -11. Suppose 2*r + 2*j = -h, 4*j = r - 2*r - 5. Let a = r + 6. What is the highest common divisor of 10 and a?
5
Suppose -5*b + 7*x = 2*x - 30, -5*b + 50 = -x. Let w = 42 + -19. Let c = w - b. Calculate the highest common divisor of c and 12.
12
Let j = 28 - -8. What is the highest common factor of j and 24?
12
Suppose -40 = -3*q + 32. Calculate the greatest common divisor of 24 and q.
24
Let y = 15 + -11. Let a be 202/10 + y/(-20). What is the greatest common factor of 200 and a?
20
Let t = 8 - 4. Suppose h + 65 = 5*f, -2*f + 4*h + 48 = t. Suppose 3*d - 60 - f = 0. What is the highest common divisor of d and 8?
8
Let v(c) = 2*c**2 + 7*c + 6. Let q be v(-4). Calculate the highest common divisor of q and 70.
10
Let q(j) = -j + 1. Let z be q(-3). Suppose -5*s = f + 27, -z*s - 2*f - 6 = -2*s. Let x be (0 + s/2)*-1. What is the greatest common factor of 12 and x?
3
Let g(j) = j**3 - 10*j**2 + 11*j - 8. Let c be g(9). Calculate the greatest common divisor of 5 and c.
5
Let s = 98 + -41. Let o = s - -55. Calculate the highest common divisor of 14 and o.
14
Let u(o) = -o + 4. Suppose -5*a = -2*f + 3*f + 37, 2*a + 6 = 4*f. Let d = -14 - a. Let h be u(d). Calculate the highest common divisor of 1 and h.
1
Let h(m) = -m**2 + 8*m - 4. Let o = 15 + -8. Let a be h(o). Suppose -5*x + a + 32 = 0. What is the highest common divisor of 56 and x?
7
Let p(a) = a**2 - 3*a + 2. Let b be p(6). What is the highest common factor of 4 and b?
4
Suppose 2*j = -2*q + 18, 3*q = 26 - 11. Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
4784*c?
-260688*c**2 + 18
Find the second derivative of 470966*v**2 - 677366*v - 3 wrt v.
941932
Find the third derivative of j**2*p**3*z**2 + 4*j**2*p*z**2 + 8*j**2 + 195*j*p**4*z**2 - 2879*j*p**2*z**2 wrt p.
6*j**2*z**2 + 4680*j*p*z**2
What is the second derivative of 15688*b**3*d**2 - 15*b**3*d - 17*b**3 + 2*b*d - 11*d wrt d?
31376*b**3
What is the derivative of 523*b*x - 67831*b - 3*x wrt x?
523*b - 3
Differentiate -1822471*i**3 - 151787.
-5467413*i**2
Find the second derivative of -j*l**2*v**2 + 7*j*l**2*v + 622515*j*l*v**2 - 4*j*l*v + 22*j*l + l**2 - l*v - 4*v wrt v.
-2*j*l**2 + 1245030*j*l
Differentiate -125*i*p**3 - 124*i*p - 93*i + 10*p + 1928 wrt p.
-375*i*p**2 - 124*i + 10
What is the first derivative of -20*m*o**4 - 636*m*o**3 + 36155*m wrt o?
-80*m*o**3 - 1908*m*o**2
Find the second derivative of -135*a**5 - 5*a**4 + 3*a**3 + 2*a - 83414.
-2700*a**3 - 60*a**2 + 18*a
Find the second derivative of i**5 - 3*i**4 - 9931*i**2 - 60850*i.
20*i**3 - 36*i**2 - 19862
What is the second derivative of 319393*y**2 - 199237*y?
638786
Find the first derivative of 518486*t**3*v + 373814*t**3 wrt v.
518486*t**3
Differentiate -2*i*o**3 + 352633*i*o**2 - 4*o**3 + 5*o + 3480 with respect to i.
-2*o**3 + 352633*o**2
Find the third derivative of -122336*g**3*w**3 - 3*g**3 - 2385*w**2 + 5 wrt w.
-734016*g**3
What is the third derivative of -1964317*d**5 + 1043*d**2 + 8*d + 11 wrt d?
-117859020*d**2
Find the third derivative of -568*s**4*y**2 + 47*s**3*y**2 + 3*s**2*y**2 + s*y + 2*s - 11*y**2 + 56 wrt s.
-13632*s*y**2 + 282*y**2
What is the third derivative of 2*m**5 - 2*m**4 - 17418*m**3 - 362*m**2 - 29*m + 2 wrt m?
120*m**2 - 48*m - 104508
Differentiate 188*i**3*r**2 + 2*i**2*r**2 - 14248*r**2 with respect to i.
564*i**2*r**2 + 4*i*r**2
Find the third derivative of 2293*i**6 + 24377*i**2.
275160*i**3
What is the second derivative of 5*c**3 + 98784*c**2 + 1822053*c?
30*c + 197568
What is the third derivative of -2040804*g**4 - 1643369*g**2?
-48979296*g
Find the second derivative of -234826*c**2*k**2 - 173*c*k**2 + 6*c*k - 21*c wrt c.
-469652*k**2
What is the second derivative of 2598*d**2*p**2 - 5340*d**2 - 2*d*p + 10*p**2 + 3*p wrt p?
5196*d**2 + 20
Find the third derivative of 2*t**6 + 210*t**5 + 23*t**4 - 15*t**2 - 4.
240*t**3 + 12600*t**2 + 552*t
Find the third derivative of -445064*g**3 - 2*g**2 + 101857*g wrt g.
-2670384
Find the first derivative of 40781*c*v**3 + 4462*c - 3*v**4 + 2 wrt v.
122343*c*v**2 - 12*v**3
Find the third derivative of 33*t**3*u**3 + 7*t**3*u**2 + 6*t**3*u - 810*t**2*u - 21*u**3 wrt t.
198*u**3 + 42*u**2 + 36*u
What is the third derivative of 8174*u**4*z**2 + u**3*v*z**2 + 63*u**2*v*z**2 - 2*u**2*v - 3*u**2*z + 7*u*v - 3*z wrt u?
196176*u*z**2 + 6*v*z**2
What is the second derivative of -60674*m**4 - m**2*w - 2*m*w - 22413*w - 1 wrt m?
-728088*m**2 - 2*w
Differentiate -41745*t**3 + 56935 with respect to t.
-125235*t**2
Differentiate g**2 - 148411*g*k**2 + 75*k**2 + 124*k - 22 wrt g.
2*g - 148411*k**2
What is the third derivative of 2*p**3*q*u**3 + 4088738*p**3*q + 20*p**2*q*u**2 + 38*p**2*u**2 - 44*p*u**3 + 1 wrt p?
12*q*u**3 + 24532428*q
Find the third derivative of 32051*j**5 - 69022*j**2.
1923060*j**2
What is the second derivative of 82*c**2*i**2*k + 59*c**2*i*k + 22*c**2*k + 2069*c*i**4*k - 14*c*i*k + 4*c*k wrt i?
164*c**2*k + 24828*c*i**2*k
Differentiate 418086*g - 3024640 wrt g.
418086
Find the third derivative of -38*m**5 - 483*m**4 - 5*m**3 + 291*m**2 - 70*m - 2 wrt m.
-2280*m**2 - 11592*m - 30
Differentiate 3*b**3*g - 783*b**3 - 2*b**2 + 362*b*g**4 + 23*b - g**2 + 3*g with respect to g.
3*b**3 + 1448*b*g**3 - 2*g + 3
Find the second derivative of 112330*j*x**2 - 119848*j*x wrt x.
224660*j
What is the first derivative of 4004*l**4 - 375*l**2 + 808913 wrt l?
16016*l**3 - 750*l
What is the first derivative of -603*z**3 - 217*z + 191096 wrt z?
-1809*z**2 - 217
What is the second derivative of 91*a**2*h*j**2*m - 5430*a**2*j**2 + 3*a*h*j*m + 1112*a*h - a*j**2 - 4*h*j*m wrt a?
182*h*j**2*m - 10860*j**2
Find the first derivative of -19596*g**2 - 71515.
-39192*g
Find the third derivative of 776*c**2*f**3 - 2*c**2 - 7*c*f**2 - 47*c - 672*f**3 wrt f.
4656*c**2 - 4032
What
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-2). Solve 0 = -5*v - 5*u + 5, -h*v - 4*u = -u - 11 for v.
4
Suppose -3*a + 36 = a. Suppose -h - a = 2*h, 5*h = 4*i - 87. Solve -2*v - 2*c - i = 0, -2*c + 0*c = -4*v - 12 for v.
-5
Suppose 0 = -3*w + 3 + 3. Let i be (w + (-5)/2)*-10. Solve -3*q = -i*k + 25, 4*q - q = -4*k + 20 for q.
0
Let a be (3 + -1)*(-10)/(-20). Let l be -2*(1 + -4) + (-1)/1. Solve -l*s + 20 = 0, 4*s - a = 5*u - 0*s for u.
3
Let z(y) = y - 4. Let g be z(8). Let f(c) = 4*c - c**2 + 2 - c**2 + c**2. Let u be f(4). Solve 2*w - 3*w + u = v, -g*w - 17 = -v for v.
5
Let t be 15 + -13 + (-1 - -2). Solve 0 = 4*a + g - 12, 9 = t*a - g + 2*g for a.
3
Let c(r) = r + 4 - 4 + r**2. Let m be c(-2). Let t = -8 - -10. Solve 5*n = t*z - 8, -4*z + 0*z + m*n = 0 for z.
-1
Suppose -6*s + 2*s + 20 = 0. Suppose 0 = 4*q - 16, s*b + q - 14 = -0*b. Solve -3*p - u + b = -6, -16 = -4*p - 4*u for p.
2
Suppose -3*n - 20 = -8*n. Suppose 12 - 40 = -n*l. Solve 0 = m + 4*a - 6 - l, 2*m - 5*a + 26 = 0 for m.
-3
Let x be 10/6*(13 - 10). Suppose 0 = n - t - 15, -15 = -4*n + n - 3*t. Solve x*c = v - n, 2*v - 5*c = -0*v + 10 for v.
0
Let f(t) = t**2 - 3*t - 4. Let a be f(4). Suppose a*x - x = 0. Solve -2*g + x = p - 7, g - 21 = -4*p for g.
1
Let b = 10 - 6. Suppose u + 3*i + 6 = -0*i, -2 = 2*u - b*i. Let d = u + 7. Solve 11 = 5*a - 3*c, d*c + 3 = 5*a - 5 for a.
4
Suppose 0*k + 14 = -k. Let l = -10 - k. Solve -w + 2*y = l*w - 9, -3*w - 3*y = -18 for w.
3
Let i(s) = s + 1. Let b = -6 + 9. Let f be i(b). Let v be (-1 + (f - 1))*8. Solve -2*h - 4*k + v = 2*h, -3*h = -5*k - 4 for h.
3
Suppose -o = o - 8. Let x(r) = 3*r**2 + r. Let c be x(-1). Let i = o - c. Solve 0 = -z - 3*q - 11, -4*q + 12 - 40 = -i*z for z.
4
Let k(c) = -c**2 - 13*c - 20. Let q be k(-11). Solve -8 = -q*z, 5*z - 2 = -v + 13 for v.
-5
Let s = -9 + 16. Suppose 0 = 4*z - s*z. Solve -g = -z*b - 2*b - 2, 2*b - 10 = -2*g for b.
1
Let l be (12/(-30))/((-1)/5). Suppose 0 = -c - 3*r + 28, -l*c + 4*r + 16 = -0*r. Solve 0 = 4*z - 4*g + c, -3*g = 2*z - 4*z - 11 for z.
-1
Let v be ((-4)/(-6))/((-2)/(-15)). Suppose 0 = -4*o + o + 30. Let t be (-2)/v - (-54)/o. Solve t*r = 2*n + 18 - 0, -r - 3*n - 10 = 0 for r.
2
Suppose 4*m - 60 = -4*o, 8*o - 3*o - 69 = -3*m. Suppose 2*a + a = o. Solve -2*l - 14 = -3*q, a*q = -3*l + 5*l + 18 for q.
4
Let z = -7 + 9. Suppose 5*q = 8 + z. Solve 2*s - q*d + d + 8 = 0, -12 = 3*s - d for s.
-4
Suppose 0 = -3*b - 0 + 9. Suppose s = b*s - 44. Solve -4*x + 3*x + z + 8 = 0, -s = -5*x - z for x.
5
Let x be 1*(4 + 0 - 4). Solve x = -4*s + s + 4*h + 35, 5*s + 3*h = 10 for s.
5
Let m = 1 + 4. Solve 5*w + 8*y - 28 = 5*y, -m*y = -w for w.
5
Let l(m) = m**2 - m + 3. Let i be l(5). Solve b - 11 = 2*c, 0 = -3*b + c + 3*c + i for b.
1
Let c be (2 - (-39)/9)*3. Solve 3*k + 5*s = 7, -s - c = -4*k + 2*s for k.
4
Let t = -60 - -74. Solve 0*y + y - t = 2*s, -22 = 2*s - 3*y for s.
-5
Suppose w + 4*l + 15 = 0, -2*w - 5*l + 4 - 19 = 0. Solve 0 = -w*z - 2*n - 20, 8 = -2*n - 2 for z.
-2
Let w be (-4 - 1)*36/(-60). Solve 5*s = w*t - 12, 2*t + 0*s - 8 = -2*s for t.
4
Let d = 28 - 24. Solve -3 = 3*t, -2*r - d*t = 7 - 3 for r.
0
Suppose 4*h - 3*h = 3. Solve 5*c + 5*s - 15 = 0, h*s = 5*c - 7 - 0 for c.
2
Let a(y) = y**2 + 5*y. Let h be (4/(-5))/(2/10). Let c be a(h). Let o = c - -9. Solve 5*n + x + 3 = 0, n - 1 - 14 = o*x for n.
0
Suppose 7 - 3 = 2*k. Let l = 6 + -3. Let i = 5 - l. Solve 5 = k*a - o, 3*a + i*a - 3*o - 15 = 0 for a.
0
Suppose -2*v = -3*v. Let r = 6 + v. Solve 5*k = 4*u + 7, -2*k - 5 = 3*u + r for u.
-3
Let z be -8*(10/(-4) - -2). Let y(u) = 3*u - 9. Let f be y(6). Let s = f + -5. Solve -s*o - 15 = o - 4*k, -z*o - 3*k = 12 for o.
-3
Let l(b) = -5*b - 8. Let g be l(-2). Solve -2*m - 4*n = 2*m - 16, -3*m - g*n = -12 for m.
4
Let l(f) = -f**3 - 7*f**2 - 8*f - 9. Let o be l(-6). Suppose -v + 15 = -o*s, 2*v = -3*v + 4*s + 31. Solve -h - v*h - 5 = 3*c, h
|
{
"pile_set_name": "DM Mathematics"
}
|
36, 134, 292, 522, 836, 1246?
2*r**3 + 12*r**2 - 28
What is the h'th term of 26, 41, 72, 125, 206, 321, 476?
h**3 + 2*h**2 + 2*h + 21
What is the d'th term of 358, 359, 360, 361, 362?
d + 357
What is the i'th term of 27, 8, -35, -114, -241?
-2*i**3 - 5*i + 34
What is the w'th term of -226, -228, -240, -268, -318?
-w**3 + w**2 + 2*w - 228
What is the z'th term of -931, -1871, -2811?
-940*z + 9
What is the k'th term of 199, 206, 213?
7*k + 192
What is the y'th term of 5380, 5383, 5388, 5395, 5404, 5415, 5428?
y**2 + 5379
What is the i'th term of 96, 479, 1124, 2037, 3224, 4691, 6444, 8489?
i**3 + 125*i**2 + i - 31
What is the p'th term of -13506, -13507, -13508, -13509?
-p - 13505
What is the z'th term of -7277, -14559, -21851, -29159, -36489, -43847, -51239, -58671?
-z**3 + z**2 - 7278*z + 1
What is the z'th term of 18, 9, -2, -15, -30, -47, -66?
-z**2 - 6*z + 25
What is the a'th term of 1087, 1097, 1121, 1165, 1235, 1337?
a**3 + a**2 + 1085
What is the h'th term of 84, 95, 128, 195, 308?
2*h**3 - h**2 + 83
What is the v'th term of 1269, 2536, 3803, 5070, 6337?
1267*v + 2
What is the k'th term of 5, 10, 9, -4, -35, -90, -175?
-k**3 + 3*k**2 + 3*k
What is the g'th term of 16, 63, 140, 247, 384, 551?
15*g**2 + 2*g - 1
What is the l'th term of -1122, -2244, -3366, -4488?
-1122*l
What is the v'th term of 433, 430, 427, 424, 421?
-3*v + 436
What is the q'th term of 103, 440, 1001, 1786?
112*q**2 + q - 10
What is the a'th term of -19, -99, -327, -781, -1539, -2679, -4279?
-13*a**3 + 4*a**2 - a - 9
What is the v'th term of 5, 26, 49, 74?
v**2 + 18*v - 14
What is the a'th term of -42, -49, -56, -63?
-7*a - 35
What is the t'th term of -1868, -1858, -1834, -1790, -1720?
t**3 + t**2 - 1870
What is the q'th term of -436, -437, -438, -439?
-q - 435
What is the f'th term of 108, 375, 806, 1395, 2136, 3023, 4050, 5211?
-f**3 + 88*f**2 + 10*f + 11
What is the h'th term of -627, -626, -625?
h - 628
What is the j'th term of 17, 28, 39, 50, 61?
11*j + 6
What is the y'th term of 41, 114, 307, 680, 1293, 2206, 3479?
10*y**3 + 3*y + 28
What is the b'th term of -190, -216, -256, -316, -402?
-b**3 - b**2 - 16*b - 172
What is the j'th term of -377, -505, -645, -803, -985, -1197, -1445, -1735?
-j**3 - 121*j - 255
What is the z'th term of -2015, -2013, -2011?
2*z - 2017
What is the h'th term of -14, -48, -104, -182, -282, -404?
-11*h**2 - h - 2
What is the d'th term of 263, 259, 255?
-4*d + 267
What is the q'th term of 43, 89, 139, 193, 251, 313, 379?
2*q**2 + 40*q + 1
What is the l'th term of 28, 22, 14, 4?
-l**2 - 3*l + 32
What is the a'th term of 55, 101, 133, 151, 155?
-7*a**2 + 67*a - 5
What is the m'th term of -1088, -2183, -3280, -4379, -5480, -6583, -7688?
-m**2 - 1092*m + 5
What is the j'th term of 11, 21, 31, 41, 51?
10*j + 1
What is the p'th term of 105, 191, 289, 405, 545, 715?
p**3 + 79*p + 25
What is the x'th term of -3252, -6504, -9756, -13008, -16260?
-3252*x
What is the p'th term of -16, -45, -104, -205, -360, -581, -880?
-2*p**3 - 3*p**2 - 6*p - 5
What is the q'th term of 2220, 2217, 2214?
-3*q + 2223
What is the v'th term of -357, -709, -1055, -1395, -1729, -2057?
3*v**2 - 361*v + 1
What is the w'th term of -50, -53, -56?
-3*w - 47
What is the h'th term of 725, 729, 735, 743?
h**2 + h + 723
What is the x'th term of -143, -125, -89, -29, 61?
x**3 + 3*x**2 + 2*x - 149
What is the d'th term of -38, -30, -16, 4, 30, 62?
3*d**2 - d - 40
What is the o'th term of -10, 11, 78, 215, 446, 795?
4*o**3 - o**2 - 4*o - 9
What is the z'th term of 16, 15, 16, 19, 24?
z**2 - 4*z + 19
What is the f'th term of -206, -401, -582, -743, -878, -981, -1046, -1067?
f**3 + f**2 - 205*f - 3
What is the a'th term of -32, -68, -104, -140, -176, -212?
-36*a + 4
What is the r'th term of -56736, -56732, -56716, -56682, -56624, -56536, -56412, -56246?
r**3 - 3*r - 56734
What is the p'th term of -734, -1469, -2204, -2939?
-735*p + 1
What is the j'th term of -602, -605, -608?
-3*j - 599
What is the f'th term of 218, 262, 298, 320, 322, 298, 242, 148?
-f**3 + 2*f**2 + 45*f + 172
What is the q'th term of -660, -657, -652, -645?
q**2 - 661
What is the u'th term of 2, 72, 270, 662, 1314?
11*u**3 - 2*u**2 - u - 6
What is the o'th term of 15, 14, 15, 18, 23, 30, 39?
o**2 - 4*o + 18
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
- 92 = 0. Let v = -24 + p. What is the tens digit of v?
1
Suppose 6190 = 18*h - 8*h. What is the hundreds digit of h?
6
Let w be -4*-3*4/3. What is the tens digit of w/6*(510/24 + -7)?
3
Suppose -13*j - 2*u - 2780 = -15*j, 0 = 3*j + u - 4162. What is the units digit of j?
8
Let p(t) = -t**3 - 7*t**2 + 8*t + 1. Let b be p(-8). Let f be (b - 3)*(1 - 3). Suppose 4*u + f*i - 204 = -0*u, -4*u - i = -207. What is the tens digit of u?
5
Suppose -221 = -2*i + 309. What is the tens digit of i?
6
Suppose 3*v - 1232 = 2143. What is the units digit of v?
5
Suppose -12 + 0 = 4*d. What is the tens digit of (-97)/d + (-7)/21?
3
Let q(k) be the first derivative of -k**4/4 + 2*k**3 + k**2/2 + 7*k - 13. What is the units digit of q(5)?
7
What is the hundreds digit of (-52 - 0)/(136/(-4148))?
5
Let a(r) = -3*r**2 + r + 145. What is the units digit of a(0)?
5
Let x = -6 + 29. Let s = 19 + x. What is the tens digit of s?
4
Suppose -x + 5*s + 24 = 0, -x - x + 4 = s. What is the hundreds digit of (9 - x/1)*(-61)/(-1)?
3
Let b(q) = -7*q - 30. Suppose -5*d - 27 - 23 = 3*t, 2*t = 2*d - 12. What is the tens digit of b(t)?
4
Suppose -2*t - 5*f + 6 = 0, 3*t - 4*f - 9 = f. Let i(p) = -p**3 + 8 + 0*p - 5*p - 6*p - t*p - 12*p**2. What is the tens digit of i(-11)?
4
Suppose -19*s + 40400 = 4300. What is the tens digit of s?
0
Suppose 3*w = 1191 - 171. What is the tens digit of w?
4
Suppose 0 = 2*k - 2*q - 14, 11 = 2*k + 5*q + 25. Let h be 31/3 + (-1)/k. Suppose 3*t + 4*m - 1 = 1, 5*m = -5*t + h. What is the units digit of t?
6
Suppose -4*m = o - 223, 0 = -o + 1 - 2. What is the tens digit of (m/(-70))/(2/(-140))?
5
Let r be (2 - 5)*(-2 - -3). Let c(i) = -9*i + 1. Let v be c(r). Suppose s = -4*s + 3*g + 140, -s + 2*g + v = 0. What is the units digit of s?
8
Let r = -1079 + 1802. Suppose -3*i + 3*d - r = -7*i, 0 = -2*d + 2. What is the hundreds digit of i?
1
Let k = -41 - -469. What is the tens digit of k?
2
Let a(r) = r**3 + 43*r**2 - 74*r - 13. What is the units digit of a(-43)?
9
Suppose s = 3*c + 90, -3*s - 14*c = -18*c - 245. What is the tens digit of s?
7
What is the hundreds digit of 32/(-3)*3969/(-126)?
3
Let f be (668 + -3)/5 - 1. Suppose 2*c - f = -2*c. What is the units digit of c?
3
What is the thousands digit of 1/(-3) + 83125/57?
1
Suppose 0 = -7*a + 15*a - 8960. What is the tens digit of a?
2
Suppose -8*g + 840 = 4*g. What is the units digit of g?
0
Suppose -4*i = 2*o - 18, 4*i + 0*o - 2*o = 22. Suppose -a + 0*d = -d - 196, -i*a + 987 = 2*d. What is the units digit of a?
7
Let l(m) = m**3 - 5*m**2 - 8*m + 9. Let u = 21 + -15. Let w be l(u). What is the units digit of -2 - (-1)/(w/(-39))?
1
Let r be (8/3)/(4/6). Suppose 3 + 5 = r*t. What is the units digit of t/1 - (0 - 3)?
5
Let z(b) = -13*b + 2. Let v be z(-2). Let k(p) = -p**2 + 17*p + 102. Let r be k(22). Let m = v + r. What is the units digit of m?
0
Suppose -o + 3*g + 3304 = 0, -16440 = 16*o - 21*o - 5*g. What is the units digit of o?
2
Let w = -11 - -43. Suppose -4*u - 4*v = -96, v + 2*v - w = -u. What is the units digit of (-1 - 1)*(-10)/u?
1
Suppose 0 = 3*b - 165 - 27. Suppose b*a + 788 = 68*a. What is the hundreds digit of a?
1
Suppose 10 = 2*v + 8. Let z(f) = 20*f**3 + f**2 - f. Let t be z(v). Suppose -t = -r - 2. What is the tens digit of r?
1
Let h(r) = -r**3 + 30*r**2 - 61*r - 53. What is the hundreds digit of h(27)?
4
Let x = 48 + 1123. What is the thousands digit of x?
1
Let c = 14 - 98. Let o = c - -163. What is the units digit of o?
9
Suppose 3*q = -0*q + 15. Let t be 351/15 - 2/q. Suppose -f + t = 12. What is the units digit of f?
1
Suppose -35281 - 22511 = -28*k. What is the hundreds digit of k?
0
Let y = 62 - 59. Suppose -2*z - 5*g - 222 = -y*z, 3*z = 4*g + 644. What is the units digit of z?
2
Suppose 0 = d + 3, 2*d - d = 5*k + 177. Suppose -4*b + q + 53 - 14 = 0, q = -3. What is the units digit of 583/b - k/162?
5
Let i(k) = 3*k**2 + 8*k + 1. Let w = 43 - 39. What is the units digit of i(w)?
1
Let j be 1*(3 - 0)*2. Let i = j - 2. Suppose 36 = 4*y - i*p, -9 = 2*y + 4*p - 3. What is the units digit of y?
5
Let h(r) = r**3 + 9*r**2 + 9*r + 11. Let v be h(-8). Suppose -v*l - 9 = -6*l. Suppose 0 = -l*b - 3*z + 24, 0 = b + z + 2*z - 2. What is the units digit of b?
1
Let n = -34 + 38. Suppose -3*s = n*s - 21. What is the units digit of s?
3
Let f = -1344 - -1673. What is the tens digit of f?
2
Suppose 4*c + 147*u - 10254 = 152*u, -4*u = -5*c + 12822. What is the units digit of c?
6
Let h = -18 - -24. Suppose -h*b = -474 - 276. What is the hundreds digit of b?
1
Let h = 735 - 566. What is the hundreds digit of h?
1
Suppose 2*c = -2*c + 1052. Suppose 2*b - 15 = -3*d + 93, -10 = -5*d. Suppose 4*t = c - b. What
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Let b(v) = -v**3 + 5*v**2 - 4*v + 3. Suppose 4*d - 5*d = -4. Let f be b(d). Solve -2*p + 0*p - 5*s + 15 = 0, -f*p - 2*s = 5 for p.
-5
Suppose 8*k - 16 = 7*k. Let m = 16 - k. Solve 4*b + 4*l = m, l - 5*l = 5*b + 1 for b.
-1
Let l(b) = -b**3 + b**2 - b + 3. Let k = -5 + 5. Let h be l(k). Suppose -3*p = -4*p + 4. Solve -h*x + 0 = -2*r - 2, -3*r + x + p = 0 for r.
2
Suppose -4*b = -53 - 7. Suppose 2*l + l - b = 0. Solve -l*q + 4*o = 1, 0 = -q + o - 0 - 1 for q.
3
Let h be (-3)/(-6)*3*(-8)/(-3). Solve 2*d + 0*d = -8, -4*f + h = d for f.
2
Let x(a) = -4 + a + 0 - 3. Let s be x(11). Solve s*n - 6*n - f = -5, 5*n + 3*f - 10 = 0 for n.
5
Let y(d) = d**2 - 6*d + 7. Let j be y(3). Let b be j/4 - (-88)/16. Solve -2*w = 3*z + 7, -20 = b*z - 3*w - 2*w for z.
-3
Suppose 4*w + 5 = 1. Let y be 3 + w - (1 + -3). Suppose -3*b + 6*b + y*p = 28, 3*p - 12 = 0. Solve 4*o + b*l = 24, l + 3 = o + 1 for o.
4
Suppose 0 = -5*y - 3*x + 9, -y - 4*y - x + 3 = 0. Suppose 4*o = g + 8, o + y*o - 2 = g. Solve 3*r = -4*b - 16, -2*b = -b - o*r - 7 for b.
-1
Suppose -2*n = -n - 2. Suppose -q = -3*f + 10, -3 = -4*f + 3*q + n. Solve 5*y + 0*h - 4*h + 3 = 0, -24 = 3*y + f*h for y.
-3
Let q(r) = -r**2 - 4*r. Let a be q(-3). Suppose 3 = 3*g - g - 3*o, 2*g + a*o = -3. Solve g = -4*d - 0*d + 4, 4*d = -h for h.
-4
Let y = -5 + 7. Suppose 2*k - 5 = -3*k - 2*f, -4*k + 37 = -5*f. Solve 2*b + 22 = k*q - 1, -y*b = -4*q + 28 for b.
-4
Let q(p) = p**3 - 2*p**2 - 4*p - 3. Let n be q(4). Solve -c + 17 = 4*x, -4*x = -c - 2*x - n for c.
-3
Suppose -3*r - 20 = -7*r - 5*z, 4*z = 0. Let i = r + -5. Let l be 1 + (-1 - i) - -2. Solve -3*s + 9 = 3*u, -5*s + l*u = -s - 24 for s.
5
Suppose 0 = -4*a - 2*m + 4, 2*a - 7*m = -3*m + 22. Suppose -4*z + z - 2*j = -60, 4*z - 4*j = 60. Solve 3*c + l = 7, -c + a*c = 5*l - z for c.
1
Suppose -3 = -3*o, 6*k = k + 3*o - 3. Solve v + 2*q = 5*v + 8, k = -2*v + 2*q - 8 for v.
0
Let z = -9 - -25. Let t be (15/(-2) + 2)*-2. Let w = t + -9. Solve -2*y - 3*j = z + 5, -y = -j - w for y.
-3
Suppose 3*h = -5*j + 57, -2*j - 4*h - 18 = -52. Suppose 0 = -3*g + 3*c + j, -3 = -g - 2*c + c. Solve -w + 17 = 4*q, g*w + 9 = 5*q - 2*q for q.
4
Suppose j = -2*x - 4*j - 7, 3*j + 29 = 5*x. Solve -4*n + 0*n = m - 6, 3*m + x*n - 10 = 0 for m.
2
Let g(m) = 5 - 2 + 2*m - m**2 + 0*m. Let r be g(3). Solve -a + 3*a = r, 3*a + 12 = 4*t for t.
3
Suppose 2*j = 3*g + 59, -2*j - 3*g + 25 = -j. Let y = j - 20. Solve 5*x - 5*v = 20, 0 = -4*x - 3*v + v - y for x.
0
Let h(x) = 41*x + 5. Let c(n) = -20*n - 2. Let z(j) = -7*c(j) - 3*h(j). Let y be z(1). Solve 2*b - y = -f - b, 2*f + 3*b - 17 = 0 for f.
1
Suppose -x + 8 = g - 0*x, x + 1 = 2*g. Suppose 3*p = 5*p - 2*a, -5*a = -g*p. Solve p*c - 3*j - 22 = -5*c, j - 2 = -3*c for c.
2
Let v(i) = i**3 + 4*i**2 + 6*i + 5. Let t be v(-3). Let z be 1 + 1/(t + 3). Solve 0 = -k + 3*l - 13, 4*k + 1 = -5*l - z for k.
-4
Suppose y + 18 = 2*y. Let q be (-8)/(-6) + 12/y. Solve i + 9 = q*v, 2*v = -3*i + 6 - 17 for i.
-5
Let k(n) = 2*n**3 + 2*n**2 - 2*n - 2. Let d be k(-2). Let s be (1 - -4)*d/(-5). Let q = 3 + s. Solve p = x - q - 0, 5*x - 25 = p for p.
-5
Suppose 4 + 2 = 2*y. Solve 5*s - 2*r + 7*r = -15, 3*r - 9 = y*s for s.
-3
Let w(c) = -c**2 - 7*c - 6. Let x be w(-5). Suppose -2*h - 4 = -t + 5*t, h = 3*t - 7. Let v be (-2)/h + (-30)/(-20). Solve g = -l + 3, v + 1 = -x*l + g for l.
0
Let d(y) = 9*y**3 - 2*y**2 + 2*y. Let t be d(1). Solve -t = 3*g - 2*v, -3*g = 2*v - 3*v + 12 for g.
-5
Let x(u) = -u**2 + 6. Let p be -2 - (-3 - (-3 - -2)). Let g be x(p). Let w be (g - -2) + (-9)/3. Solve -3*n - 24 = -2*a - w, 3*n - 6 = -3*a for n.
-3
Let o(y) = -5*y**3 - y**2 - y - 1. Let k(r) = -r**3 - 6*r**2 + r + 5. Let t be k(-6). Let w be o(t). Solve -4*v + 4*n - 6 = 6*n, 15 = -v + w
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose 5*r = 3*z + 50, 2*r = -r - y*z + 30. Calculate the highest common factor of r and w.
5
Suppose 5*o = 127 - 32. Suppose 5*q = 3*f - o, -2*f = -0*f - 5*q - 6. Let r = f - 8. Calculate the greatest common factor of 40 and r.
5
Let i be 9/(-36) + 114/8. Let n be (-1)/(-7) + 222/i. What is the highest common factor of 144 and n?
16
Suppose 0 = -g + y + 109, 0*g = 4*g + 5*y - 436. Suppose 0 = -4*z - 61 + g. Calculate the greatest common divisor of 108 and z.
12
Let k be (18 - 19)/(5/(-75)). Calculate the greatest common factor of k and 1065.
15
Let g(j) = 78*j - 8. Let u be g(1). Suppose b - u = -5*z, b - 3*z - z - 106 = 0. What is the highest common divisor of b and 30?
30
Let x be 13/(-7 - 75/(-10)). Calculate the greatest common divisor of x and 26.
26
Suppose -34 + 49 = 3*h. Calculate the highest common divisor of 10 and h.
5
Let k(u) = 5*u**2 + 3*u - 2. Let m be k(1). Suppose -2*y = -m - 12. Let p be 2/(-2)*4 + 103. What is the highest common divisor of y and p?
9
Let x be (-10)/3*(-1989)/65. Suppose -c - x = -318. What is the greatest common factor of 24 and c?
24
Let c(w) = -w + 16. Let q be c(-16). Let y = 36 - q. Calculate the greatest common factor of y and 4.
4
Let b be 10/(-30) + (-16)/(-3). Suppose 0 = -2*n + b*r + 70, -76 = -3*n - 3*r + 29. What is the highest common factor of 140 and n?
35
Let s = 210 - 165. Calculate the greatest common factor of s and 18.
9
Suppose 2*b - 4*b + 1257 = 3*z, -2*b - 4*z + 1252 = 0. What is the greatest common factor of 12 and b?
12
Suppose 14*q + 19*q - 2541 = 0. What is the greatest common factor of 176 and q?
11
Let w(p) = -4 - 3*p**3 + 5*p**3 + 2*p + 3. Let s be w(1). Suppose -35 = s*f - 4*f. Calculate the greatest common factor of 14 and f.
7
Let q be 66/(-24)*-44 - -11. What is the greatest common factor of 52 and q?
4
Let i(x) = 12*x**2 + 21*x - 1. Let k be i(-3). What is the greatest common factor of k and 77?
11
Suppose -9*o + d = -13*o + 2654, -3*d = -6. Calculate the highest common divisor of o and 51.
51
Let d = 115 + -115. Let f be 3/(-3)*-1*3. Let q = f - d. What is the highest common divisor of q and 3?
3
Let w be ((-728)/(-455))/((-2)/(-25)). Let p(y) = -y**3 + y - 7*y**2 + y - 6*y - 8 - 9*y. Let t be p(-8). What is the greatest common factor of t and w?
20
Suppose -z - 7 = -5*t, -3*t - 2*z + 10 = -t. Suppose t*m = -29 + 205. Let u be (26/3 - 5)/(2/6). What is the greatest common factor of u and m?
11
Let f be (-2985)/(-21) + 4*(-5)/140. What is the highest common factor of 213 and f?
71
Let j(g) = g**2 + 6*g + 7. Let l be j(-6). Let b = l - 7. Suppose 0 = k - 2*k + 3*f + 2, b = 3*k - 3*f - 18. Calculate the highest common factor of 88 and k.
8
Suppose 0 = -2*u + 3*u - 23. Let y = -3 - -32. Let z = 52 - y. What is the highest common factor of u and z?
23
Let b be 84/22 - 2/(-11). Suppose -b*x + 172 = v, -2*v = -2*x - 0*x + 76. Calculate the greatest common divisor of 126 and x.
42
Let x = -242 - -248. What is the greatest common factor of 162 and x?
6
Let i be (2 - -64) + 4*(-15)/(-10). What is the greatest common factor of i and 162?
18
Let j = 60 - 6. Suppose t - j = 96. What is the highest common divisor of t and 60?
30
Let l(s) = 8*s - 3. Let d be 3*(-2 + (1 - 0)). Let j be (-2 - (-6 - d))*3. Let g be l(j). What is the highest common divisor of g and 105?
21
Let q be 10/(-5) - -6 - 1. Suppose q*h - 248 = 88. Let o be (-2)/(-5)*(-280)/(-7). What is the highest common factor of h and o?
16
Let r(o) = o**2 - 13*o + 120. Let x be r(14). Calculate the greatest common factor of x and 335.
67
Let w(u) = u**3 + 9*u**2 + 9*u + 10. Let v be w(-8). Let j be 2/(0 - v/(-33)). What is the greatest common factor of 11 and j?
11
Let q(w) = -w**2 + 8*w - 12. Let f be q(6). Suppose f = i - 3*r - 4 - 83, 0 = 2*i + 3*r - 129. What is the highest common divisor of i and 18?
18
Suppose -3*t + 161 = 146. Calculate the highest common divisor of 20 and t.
5
Let d be (504/(-10))/(-6)*5. Suppose 12 = 8*z - 6*z. Calculate the highest common factor of z and d.
6
Suppose 4 = -k + 26. Let a = 42 + -39. Suppose -a*x = -5*x + 3*z + 123, -2*z + 6 = 0. What is the greatest common factor of k and x?
22
Suppose 4*i + 4*f - 322 = 26, -2*f - 276 = -3*i. What is the greatest common factor of 20 and i?
10
Let y be 2/(-7) + (-970)/(-14). Suppose -5*c + 3*d = -115, -23 = 5*c - 6*c - 5*d. What is the highest common factor of y and c?
23
Let g(o) = o**2 - 15. Let b(k) = -k**2 + 16. Let h(f) = 2*b(f) + 3*g(f). Let y be h(-5). Let c = 3 - -9. What is the highest common factor of y and c?
12
Let t(w) = 12 + 11*w - 26 - 7. Let g be t(7). Let k(i) = -i**3 - 4*i**2 - 2*i - 1. Let c be k(-4). Calculate the highest common factor of g and c.
7
Suppose -61 = -6*t + 5. Calculate the greatest common factor of 209 and t.
11
Let y be (8 + -260)/(-6) + 5. What is the highest common divisor of y and 517?
47
Let n be (110/33)/((-2)/3) + 46. Calculate the highest common factor of n and 1.
1
Let d(u) = -u**3 + 10*u**2 - u + 12. Let f be d(10). Suppose 4*j - 74 - f = 0. Let k = -14 + j. Calculate the greatest common divisor of k and 20.
5
Let d(a) = 14*a - 1055. Let j be d(76). What is the highest common divisor of 2943 and j?
9
Let i = 106 - -137. Suppose 898 = 5*y - 5*h + i, 530 = 4*y + 2*h. Calculate the greatest common divisor of y and 12.
12
Let l = 79 + 11. Suppose -8 = 2*j + 2*j, 5*j + l = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
13*h - 152 - 225 = 0. Calculate the remainder when 183 is divided by h.
9
Let l(x) = x**3 - 11*x**2 - 12*x + 17. Let k(z) = -4*z**2 + 4*z - 1. Let i be k(3). Let g = i - -37. Calculate the remainder when l(g) is divided by 10.
7
Suppose 0 = -c - 5*i - 1, i = -4*i - 20. Calculate the remainder when -4 + (-1458)/(-30) - (-2)/5 is divided by c.
7
Suppose 0 = -4*d + 41 - 13. Suppose 0 = 5*v - 78 + 258. What is the remainder when (-9)/(27/2)*v is divided by d?
3
Let a(r) = -r**3 + 3*r**2 + r - 1. Let z(j) = -4*j + 3. Calculate the remainder when z(-3) is divided by a(2).
0
Suppose -3*w - 54 = -4*w. Let o(y) be the first derivative of 5*y**2/2 - 66*y + 43. Calculate the remainder when w is divided by o(17).
16
Suppose -12 = -4*b, 223 + 52 = 4*y + 5*b. Let w = y + 19. Let k = -73 - -90. Calculate the remainder when w is divided by k.
16
Let n(p) = 6*p - 23. Let b = 30 + -4. Calculate the remainder when n(21) is divided by b.
25
Let a(y) = 9*y - 2. Let o(v) = -v**3 + 7*v**2 - v. What is the remainder when o(5) is divided by a(2)?
13
Let q(o) = -o**3 + 15*o**2 - 23*o - 11. What is the remainder when 247 is divided by q(13)?
23
Let l(i) = 2*i**2 - 22*i + 204. What is the remainder when 513 is divided by l(9)?
9
Suppose 0 = -3*p + 7 - 1, -2*p + 29 = -5*o. Calculate the remainder when (-11934)/(-135) - (-2)/o is divided by 9.
7
Let z(k) = 176*k**2 - 2*k + 2. Let f be z(1). Suppose 2*r + 2*r - 3*o + f = 0, 2*r + 88 = -2*o. Let n = 73 - r. Calculate the remainder when n is divided by 24.
21
Let l be 0 - (2 - (-12)/(-8))*12. Let j(s) = -3*s + 30. What is the remainder when j(l) is divided by 15?
3
Let w = -10 - 11. What is the remainder when 29 is divided by (-182)/w - 6/9?
5
What is the remainder when 45 is divided by (-1 - -4)*(-20)/(-3)?
5
Calculate the remainder when 521 is divided by ((-812)/21)/(-1*(-12)/(-9)).
28
Let x = 27 + 50. Suppose 29 = -3*f + x. Calculate the remainder when 28 is divided by f.
12
What is the remainder when 3/2*534/9 is divided by 23?
20
Let k = -512 - -604. Calculate the remainder when 273 is divided by k.
89
Let t be 3 + (5 + -2 - 11). Calculate the remainder when (-25)/(-1) + t + 6 is divided by 9.
8
Suppose -3*g + 2*g + 56 = 3*b, 0 = -3*b - 2*g + 55. Suppose 28 = 2*v - 194. Calculate the remainder when v is divided by b.
16
What is the remainder when 22 is divided by 1 - (-1 - (-6 + 10))?
4
Calculate the remainder when (2 - 15/2)/(3/(-48)) is divided by 31.
26
Let b(i) = -i**3 + 6*i**2 + 27*i - 84. Calculate the remainder when 275 is divided by b(7).
51
Suppose -5*t + 857 = -8. Calculate the remainder when t is divided by (10/4)/(-3*2/(-84)).
33
Let f = -3 - -8. Let u(r) = -f*r + 1 - 2*r + r. What is the remainder when 12 is divided by u(-1)?
5
What is the remainder when (-12)/20*(-4636 - 19) is divided by 43?
41
Let c(g) = -3*g**2 - 3*g - 2. Let t be c(-3). Let j = t - -25. Suppose -j*s = m - 692 + 92, m = 5. Calculate the remainder when s is divided by 24.
23
Suppose -4*v = -22 - 6. What is the remainder when 12 is divided by v?
5
Suppose -4*y - 8*f = -3*f + 108, -2*y + 5*f - 24 = 0. Let h = y + 68. Calculate the remainder when h is divided by 17.
12
Let y(u) = -u**3 - 9*u**2 + 24*u + 41. What is the remainder when 586 is divided by y(-11)?
16
Suppose 3*v = 2*v - 3139. Let a = 4753 + v. Calculate the remainder when a/42 + (-6)/14 is divided by 13.
12
Suppose 12*o = 4*q + 9*o - 106, 5*q + 3*o - 146 = 0. Calculate the remainder when 83 is divided by q.
27
Suppose 109 = 14*j - 129. What is the remainder when j is divided by -1*(-11)/(-2)*-2?
6
Suppose -13 = -2*c - 9. Suppose -w + 6*w - 2*t = 10, w = 5*t + c. Suppose w*f - 4 = 3*m - m, -16 = -3*f - 2*m. What is the remainder when f is divided by 4?
0
Let g = 501 - 203. Calculate the remainder when g is divided by 60.
58
Let r(t) = t**3 + 4*t**2 + 5*t + 4. Let p be r(-2). Let x = 5 - p. What is the remainder when x is divided by 1?
0
What is the remainder when -2 - (-7)/(63/2817) is divided by 101?
8
Calculate the remainder when 191 is divided by (-4570)/(-50) + (-6)/(-10).
7
Let o(j) = -j**3 + 18*j**2 - 6*j + 178. What is the remainder when o(18) is divided by 8?
6
Suppose 69 - 5 = 4*p. Suppose -15*r = -10*r - 45. What is the remainder when p is divided by r?
7
Let q(k) = 6*k**2 - 8*k - 21. Let p(c) = -5*c**2 + 7*c + 20. Let a(t) = -5*p(t) - 4*q(t). Calculate the remainder when a(10) is divided by 14.
12
Let p = -293 + 305. Calculate the remainder when 248 is divided by p.
8
Let h(i) = i**3 + 8*i**2 + 7*i. Let n be h(-7). Let z(b) = -b**3 - b**2 + 2*b + 2. Calculate the remainder when 8 is divided by z(n).
0
Calculate the remainder when (4 + -9 + 4 + 0)*-33 is divided by 6.
3
Suppose 3710 = -32*y + 15870. What is the remainder when y is divided by 55?
50
Suppose r = 4*r - 183. Suppose r + 19 = 4*h. Let o = h - 6. Calculate the remainder when 39 is divided by o.
11
Let g(x) = x**3 + x**2 - x. Let u(o) = 2*o**3 - 10*o**2 + 4. Let r(t) = 3*g(t) - u(t). What is the remainder when r(-13) is divided by 12?
11
Let l(k) = k**2 + 10*k + 9. Let x = -18 - -22. Let h = x - 14. What is the remainder when 17 is divided by l(h)?
8
What is the remainder when (20/(-50))/(3/(-465)) is divided by 8?
6
Suppose -4*d - 19 = -4*v + 9, 0 = -5*d + 15. Suppose 19 = 3*j + v.
|
{
"pile_set_name": "DM Mathematics"
}
|
et u(b) = -12*b + 3. Give u(s).
-93
Let h(p) = -13*p**2 - 7. Let a(i) = 6*i**2 + 3. Let l(s) = 9*a(s) + 4*h(s). Let c = 2569 + -2570. Calculate l(c).
1
Suppose -6 = -2*w, 5*c + 0*w = w + 7. Let h(g) = -g**c - 3 + 30*g - 18*g - 20*g. Give h(-6).
9
Suppose 34 = -13*y - 4*y. Let p be (12/(-24))/(y/16). Let h(j) = -p + 4 - 13*j + 14*j - 14*j**2. Give h(-1).
-15
Let j(t) = 3*t**3 - 2*t**2 - 2*t - 1. Let h be j(-1). Let s(q) be the third derivative of q**5/60 + 5*q**4/24 - 5*q**3/6 + 4524*q**2. What is s(h)?
-9
Let a(k) = -k**3 - 9*k**2 + 11*k + 13. Suppose -7*j = 14*j - 63. Suppose -j*r - 3 = 0, 6*r = -3*n + 8*r - 28. Calculate a(n).
3
Let k(a) = 7*a**3 + 15*a**2 + a - 9. Let f(c) = -3*c**3 - 7*c**2 - c + 4. Let b(r) = 5*f(r) + 2*k(r). Let l = -467922 + 467919. Determine b(l).
-7
Suppose 5*d + 88 = 5*u + 98, 4*u = -3*d + 27. Let w(h) = h**3 - 3*h**2 + 3*h + 3. Calculate w(u).
12
Let o(y) = -18*y + 39*y + 1 - 12*y - 12*y - 2. Determine o(-2).
5
Let y(x) = 4*x**2 - 9*x - 87. Let p(j) = 970*j + 5826. Let h be p(-6). Give y(h).
3
Let d(j) = -5*j + 2. Let i be d(0). Let s = 12 + -11. Let t(c) = -c. Let x(p) = 3*p - 2. Let a(h) = i*t(h) + s*x(h). What is a(-2)?
-4
Let k be (-256)/3*(-13 - -1). Let z = -1025 + k. Let g(j) = -j**3 - j**2 - j + 1. What is g(z)?
2
Suppose 2*u - 1 - 5 = 0. Let o(s) = -7*s**3 - 2*s**2 + 4*s + 6. Let n(y) = 5*y**3 - 2*y - 5. Let g(q) = -3*n(q) - 2*o(q). Give g(u).
6
Let a(g) = -2*g**2 + 80*g - 560. Let h be a(9). Let y(m) = -m**3 + 0*m**2 + 0*m**2 + 2 - m. Determine y(h).
12
Let j(r) = 3*r**3 + r**2 - 4. Let f = -261 + 264. Let a(u) = -u**2 + 2*u**3 - 1 + 2*u**2 + 0*u**2 - 2. Let o(v) = f*j(v) - 4*a(v). Calculate o(-2).
-12
Let v(q) be the second derivative of -7*q**3/3 - 79*q**2/2 + 734*q. Give v(-6).
5
Suppose -3*q = q - 24. Let n(m) = 2*m - m**2 + m - 12 + q - 11*m + 2. Suppose 2*t + 21 = -t. Give n(t).
3
Let l be (0 + 3)*222/(-74). Let q(k) = 3*k**2 + 21*k + 4. Determine q(l).
58
Let k(a) = 436*a**3 - 10*a**2 + 9*a - 6. Let i(x) = 523*x**3 - 10*x**2 + 9*x - 5. Let d(v) = 5*i(v) - 6*k(v). Let u be 10/(-15) + 58/6. Give d(u).
11
Let k(w) be the second derivative of -w**5/20 - w**4 - w**3/6 - 3*w**2 + w. Let q = -423 + -419. Let r = -854 - q. Calculate k(r).
6
Let q(k) = -k - 3*k - 7 + 7*k**2 - k**3 + 0*k**3. Suppose 89 = -0*h + 75*h - 286. Give q(h).
23
Suppose 3*v - 461 = -467. Let m(c) = 1. Let l(s) be the third derivative of s**5/60 - s**4/6 - s**3/6 - s**2. Let p(o) = v*m(o) - l(o). What is p(5)?
-6
Let z(t) = 21*t - 181. Let w(f) = -28*f + 244. Let o(k) = 7*w(k) + 9*z(k). What is o(10)?
9
Let o = 35 + -33. Let j(f) = 3*f - 62. Let g(c) = -c + 22. Let s(w) = -17*g(w) - 6*j(w). Determine s(o).
-4
Let m(z) be the third derivative of -1/3*z**4 + 2/3*z**3 + 0*z + 8*z**2 - 1/60*z**5 - 14. Let x(n) = 8*n. Let g be x(-1). Calculate m(g).
4
Suppose -3*s = 4*h + 47, -4*s = -993*h + 996*h + 51. Let c(t) = 11*t + 27. Determine c(h).
-28
Let h(s) = 7*s + 60*s**2 - 70*s**2 - 7 - 2*s**2 + s**3. Give h(11).
-51
Suppose 0 = s + 5*n - 525 + 490, -7 = -5*s + 3*n. Let u(t) = 8*t - 4. Let l(x) = -2*x + 1. Let g(h) = -22*l(h) - 6*u(h). What is g(s)?
-18
Let n be 27/1 - ((24 - 9) + -6). Let s(v) = v**2 - 20*v + 22. Determine s(n).
-14
Let k(a) = 5*a - 4. Let m(h) = -2*h**2 + 5*h - 10. Let f be m(3). Let s(q) = -4*q - 55. Let v be s(f). Calculate k(v).
-19
Let g(z) = 2949*z**2 + 2944*z**2 + 13*z - 12 - 5892*z**2. Determine g(0).
-12
Let d(o) = -7*o**3 + 8*o**3 - 10*o**2 - 3 + 41 + 14 + 6. Give d(9).
-23
Let s(n) = 119*n + 637. Let k(w) = 10*w + 54. Let p(i) = 35*k(i) - 3*s(i). What is p(-4)?
7
Let f(s) = s**2 + 2*s + 42 - 14*s - 18. Let k be f(3). Let w(i) = i**3 + 3*i**2 + 2*i + 4. Give w(k).
-2
Let b(a) be the first derivative of -2*a**3/3 + a**2/2 + 4*a + 1383. Calculate b(4).
-24
Let f(a) = -128
|
{
"pile_set_name": "DM Mathematics"
}
|
many weeks are there in 1424156.013s?
2.3547553125
How many millilitres are there in 37/5 of a litre?
7400
What is 17/2 of a litre in millilitres?
8500
How many minutes are there in 1.282716 nanoseconds?
0.0000000000213786
How many kilograms are there in 0.2137923 nanograms?
0.0000000000002137923
What is 3/32 of a millennium in months?
1125
How many litres are there in 34.56142 millilitres?
0.03456142
What is thirteen quarters of a litre in millilitres?
3250
What is 894.8607ms in seconds?
0.8948607
How many millimeters are there in twenty-seven quarters of a meter?
6750
What is one twentieth of a tonne in grams?
50000
What is eleven quarters of a microgram in nanograms?
2750
How many centuries are there in 1/5 of a millennium?
2
Convert 80.26882 millilitres to litres.
0.08026882
How many microseconds are there in 38243.7 days?
3304255680000000
What is 5.972877 milligrams in grams?
0.005972877
What is two sevenths of a week in hours?
48
How many centuries are there in 7.737501 years?
0.07737501
How many months are there in twenty-seven quarters of a century?
8100
What is thirty-three fifths of a litre in millilitres?
6600
What is 60705.932 days in weeks?
8672.276
How many minutes are there in 1/5 of a week?
2016
What is 45/8 of a micrometer in nanometers?
5625
How many millimeters are there in 21/2 of a centimeter?
105
What is seven quarters of a day in minutes?
2520
Convert 3116.923ns to microseconds.
3.116923
How many months are there in 0.3286127 centuries?
394.33524
What is 11/2 of a millisecond in microseconds?
5500
What is 20.59526 milliseconds in seconds?
0.02059526
What is 77.60185 nanograms in grams?
0.00000007760185
How many kilograms are there in 29/2 of a tonne?
14500
How many months are there in 0.3021924 millennia?
3626.3088
What is one twentieth of a century in years?
5
Convert 224240.238ms to days.
0.002595373125
How many millimeters are there in one quarter of a meter?
250
Convert 711.076212ms to weeks.
0.00000117572125
Convert 941550.8 millilitres to litres.
941.5508
Convert 59.20747 decades to millennia.
0.5920747
What is 0.7378036 millennia in decades?
73.78036
What is five quarters of a litre in millilitres?
1250
How many millilitres are there in 64/5 of a litre?
12800
How many nanograms are there in 38953.95 kilograms?
38953950000000000
What is 1/36 of a day in minutes?
40
What is 1/4 of a milligram in micrograms?
250
How many micrograms are there in 49/5 of a milligram?
9800
Convert 3.491354 decades to millennia.
0.03491354
How many kilograms are there in 839.7203 nanograms?
0.0000000008397203
How many minutes are there in 18/5 of a day?
5184
What is 2.631866 decades in centuries?
0.2631866
How many centuries are there in 3032.405 millennia?
30324.05
How many micrograms are there in fourty-three halves of a milligram?
21500
How many milliseconds are there in 0.1927696 seconds?
192.7696
What is 0.0340371mg in nanograms?
34037.1
What is thirty-seven fifths of a centimeter in millimeters?
74
How many microseconds are there in 0.17028s?
170280
How many millilitres are there in 7/4 of a litre?
1750
What is 61.10802mg in nanograms?
61108020
How many months are there in 4/3 of a millennium?
16000
What is nineteen quarters of a litre in millilitres?
4750
What is 622705.4 litres in millilitres?
622705400
Convert 500650.7 decades to years.
5006507
What is 38614.79 millilitres in litres?
38.61479
How many seconds are there in twenty-three thirds of a minute?
460
How many milliseconds are there in 70648.88 days?
6104063232000
Convert 0.8470642 grams to micrograms.
847064.2
What is 0.1266129km in meters?
126.6129
Convert 845316.8cm to kilometers.
8.453168
What is seven thirds of a century in months?
2800
How many millimeters are there in one quarter of a meter?
250
Convert 2796526.2 months to years.
233043.85
How many grams are there in 3/40 of a tonne?
75000
What is 1054.947 decades in millennia?
10.54947
How many millennia are there in 257.2477 years?
0.2572477
Convert 57697.4mg to nanograms.
57697400000
Convert 730480.5kg to milligrams.
730480500000
Convert 0.4208405 kilometers to millimeters.
420840.5
What is seven thirds of a hour in minutes?
140
What is one tenth of a micrometer in nanometers?
100
What is 246808.3 kilograms in milligrams?
246808300000
What is 38.14438 weeks in milliseconds?
23069721024
How many grams are there in 4822.266ug?
0.004822266
How many millilitres are there in 3/5 of a litre?
600
How many milligrams are there in 3/5 of a gram?
600
How many milligrams are there in 0.9210099ng?
0.0000009210099
How many decades are there in 15.01889 years?
1.501889
How many millilitres are there in thirty-seven halves of a litre?
18500
Convert 51286.4nm to kilometers.
0.0000000512864
What is 5/24 of a week in hours?
35
How many months are there in 1/4 of a decade?
30
What is 55727.29 centuries in decades?
557272.9
What is 21/5 of a tonne in kilograms?
4200
How many meters are there in three fifths of a kilometer?
600
How many micrometers are there in twenty-seven fifths of a millimeter?
5400
How many nanograms are there in three fifths of a microgram?
600
What is seventeen halves of a minute in seconds?
510
How many millilitres are there in 3/10 of a litre?
300
Convert 8418.505 litres to millilitres.
8418505
How many litres are there in 689.3662 millilitres?
0.6893662
How many milliseconds are there in 6382.261 minutes?
382935660
Convert 7.003983 decades to centuries.
0.7003983
How many millilitres are there in 752955.8l?
752955800
Convert 0.4309971 micrometers to centimeters.
0.00004309971
Convert 7381.69 years to centuries.
73.8169
What is 4230364.5ms in hours?
1.17510125
Convert 0.3170543ng to milligrams.
0.0000003170543
How many millilitres are there in seven eighths of a litre?
875
Convert 863253.5 meters to nanometers.
863253500000000
How many meters are there in six fifths of a kilometer?
1200
How many micrometers are there in 8.030543mm?
8030.543
What is 0.843825 decades in years?
8.43825
What is 3/10 of a litre in millilitres?
300
How many months are there in one sixth of a decade?
20
What is 8.4274 meters in kilometers?
0.0084274
Convert 910.5777 nanometers to millimeters.
0.0009105777
How many months are there in 11/4 of a century?
3300
What is 97497.44 grams in nanograms?
97497440000000
Convert 86.31492 decades to centuries.
8.631492
What is 0.6324507 millilitres in litres?
0.0006324507
How many microseconds are there in 6.425
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 16?
False
Is 400 a multiple of 25?
True
Does 128 divide 384?
True
Is 65856 a multiple of 96?
True
Does 16 divide 18376?
False
Does 81 divide 9656?
False
Does 21 divide 177?
False
Is 13286 a multiple of 26?
True
Does 15 divide 254?
False
Is 21525 a multiple of 35?
True
Does 11 divide 461?
False
Is 2009 a multiple of 6?
False
Does 276 divide 9507?
False
Is 121 a multiple of 7?
False
Is 2833 a multiple of 35?
False
Is 494 a multiple of 19?
True
Does 79 divide 2449?
True
Does 12 divide 1596?
True
Is 6 a factor of 1068?
True
Does 3 divide 47?
False
Is 1190 a multiple of 35?
True
Does 25 divide 554?
False
Is 4 a factor of 2334?
False
Does 6 divide 9804?
True
Is 4715 a multiple of 23?
True
Does 3 divide 533?
False
Is 2166 a multiple of 114?
True
Is 1380 a multiple of 4?
True
Does 26 divide 12038?
True
Is 8553 a multiple of 3?
True
Is 6 a factor of 10893?
False
Is 39 a factor of 2579?
False
Does 205 divide 15520?
False
Is 40 a factor of 11480?
True
Is 6440 a multiple of 35?
True
Does 149 divide 54832?
True
Is 1102 a multiple of 18?
False
Is 6862 a multiple of 73?
True
Is 13024 a multiple of 74?
True
Is 36 a factor of 73935?
False
Is 13 a factor of 12584?
True
Does 8 divide 1976?
True
Is 60 a multiple of 12?
True
Is 6 a factor of 372?
True
Is 15 a factor of 129375?
True
Does 41 divide 820?
True
Does 37 divide 35790?
False
Is 7378 a multiple of 17?
True
Does 8 divide 9032?
True
Does 21 divide 6384?
True
Is 11583 a multiple of 143?
True
Is 552 a multiple of 20?
False
Is 17 a factor of 102?
True
Is 893 a multiple of 47?
True
Is 4 a factor of 5152?
True
Does 25 divide 310?
False
Is 2 a factor of 1745?
False
Is 18342 a multiple of 9?
True
Is 149 a factor of 71222?
True
Does 57 divide 1710?
True
Does 11 divide 1273?
False
Is 7700 a multiple of 19?
False
Does 7 divide 1355?
False
Is 48 a factor of 4044?
False
Is 260 a multiple of 13?
True
Does 9 divide 7776?
True
Is 268 a multiple of 2?
True
Does 13 divide 10696?
False
Is 16342 a multiple of 12?
False
Does 29 divide 3496?
False
Is 14831 a multiple of 20?
False
Is 1012 a multiple of 23?
True
Does 33 divide 11187?
True
Is 39634 a multiple of 133?
True
Is 15 a factor of 324?
False
Is 5536 a multiple of 16?
True
Is 43 a factor of 15609?
True
Is 2658 a multiple of 26?
False
Does 72 divide 5112?
True
Is 7729 a multiple of 18?
False
Is 111 a factor of 8103?
True
Is 2023 a multiple of 53?
False
Does 18 divide 1479?
False
Does 19 divide 39482?
True
Is 44 a factor of 1122?
False
Is 5 a factor of 885?
True
Is 74 a factor of 1033?
False
Does 8 divide 312?
True
Is 53 a factor of 1997?
False
Does 166 divide 11620?
True
Does 5 divide 68?
False
Is 86 a factor of 946?
True
Does 87 divide 1655?
False
Is 1296 a multiple of 48?
True
Is 5193 a multiple of 3?
True
Does 3 divide 297?
True
Is 2 a factor of 157?
False
Is 1777 a multiple of 10?
False
Does 11 divide 1452?
True
Is 101 a factor of 35451?
True
Is 52 a factor of 2626?
False
Is 2384 a multiple of 105?
False
Is 4598 a multiple of 22?
True
Is 41 a factor of 10414?
True
Is 12071 a multiple of 36?
False
Is 31 a factor of 79772?
False
Is 5928 a multiple of 38?
True
Is 30 a factor of 2158?
False
Is 14 a factor of 558?
False
Is 62001 a multiple of 9?
True
Does 10 divide 801?
False
Is 5 a factor of 32950?
True
Does 11 divide 2143?
False
Is 60 even?
True
Is 1306 a multiple of 47?
False
Is 3042 a multiple of 4?
False
Is 3333 a multiple of 101?
True
Does 47 divide 2434?
False
Is 12972 a multiple of 23?
True
Is 104 a factor of 10712?
True
Is 142 a factor of 4260?
True
Is 68 a factor of 915?
False
Is 85 a factor of 1700?
True
Is 47403 a multiple of 229?
True
Is 1261 a multiple of 32?
False
Is 74 a factor of 4928?
False
Is 9114 a multiple of 16?
False
Does 165 divide 23430?
True
Does 9 divide 130?
False
Is 75 a multiple of 3?
True
Does 23 divide 584?
False
Is 164 a factor of 3444?
True
Is 198 a multiple of 81?
False
Is 4 a factor of 805?
False
Does 40 divide 4160?
True
Is 440 a multiple of 44?
True
Is 43 a factor of 4944?
False
Does 11 divide 1100?
True
Is 4307 a multiple of 59?
True
Does 54 divide 69930?
True
Is 1567 a multiple of 25?
False
Does 64 divide 5184?
True
Does 29 divide 78?
False
Is 304 a multiple of 11?
False
Is 104711 a multiple of 45?
False
Is 11 a factor of 1470?
False
Is 431 a multiple of 27?
False
Is 86315 a multiple of 92?
False
Is 88 a factor of 5368?
True
Is 19 a factor of 11913?
True
Does 35 divide 17220?
True
Does 29 divide 773?
False
Does 73 divide 3650?
True
Is 24 a factor of 47?
False
Is 41 a factor of 12669?
True
Does 10 divide 29610?
True
Does 4 divide 757?
False
Is 5148 a multiple of 55?
False
Is 1535 a multiple of 22?
False
Does 170 divide 3400?
True
Does 6 divide 24?
True
Is 34 a factor of 5326?
False
Does 158 divide 19924?
False
Is 20 a factor of 760?
True
Is 1658 a multiple of 41?
False
Is 10 a factor of 2700?
True
Does 40 divide 3040?
True
Is 11 a factor of 9658?
True
Is 66209 a multiple of 143?
True
Does 5 divide 3673?
False
Is 171 a multiple of 19?
True
Is 18 a factor of 270?
True
Does 21 divide 504?
True
Is 433 a multiple of 11?
False
Does 150 divide 27450?
True
Is 9944 a multiple of 67?
False
Does 22 divide 9597?
False
Is 2293 a multiple of 105?
False
Is 125 a factor of 111250?
True
Is 22356 a multiple of 207?
True
Is 6345 a multiple of 12?
False
Is 46 a factor of 10777?
False
Is 9 a factor of 131?
False
Does 8 divide 2375?
False
Is 840 a multiple of 30?
True
Does 38 divide 9272?
True
Is 44 a factor of 1752?
False
Does 31 divide 100090?
False
Is 17 a factor of 652?
False
Is 191 a factor of 2768?
False
Is 7 a factor of 1589?
True
Is 244 a multiple of 31?
False
Does 39 divide 3540?
False
Is 34 a factor of 374?
True
Is 7429 a multiple of 6?
False
Is 44489 a multiple of 17?
True
Is 55 a factor of 12045?
True
Is 31221 a multiple of 126?
False
Is 5910 a multiple of 5?
True
Is 5 a factor of 453?
False
Is 88 a multiple of 5?
False
Does 32 divide 320?
True
Does 3 divide 10?
False
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
-3*g**2 - 2*g
Collect the terms in 114*k + 2 - 14 + 183*k - 98*k + 10.
199*k - 2
Collect the terms in -334*l - 315*l - 447*l + 433*l - 407*l.
-1070*l
Collect the terms in -153*p - 151*p - 153*p - 156*p - 155*p + 773*p.
5*p
Collect the terms in -269*j + 269*j + 208*j**2 - 210*j**2.
-2*j**2
Collect the terms in -370 + 370 + 323*k.
323*k
Collect the terms in -166*q**2 + 42*q**2 + 42*q**2 + 50*q**2 + 23*q**2.
-9*q**2
Collect the terms in 40 - 74*k - 23 - 17 + 60*k.
-14*k
Collect the terms in 10824 - 2*c - 10826 + 97*c.
95*c - 2
Collect the terms in 6*z**2 + 67*z - 67*z + 3*z**2 - 5*z**2 + z**2.
5*z**2
Collect the terms in 38*u**3 - 109*u**3 + 48*u**3 - 2*u.
-23*u**3 - 2*u
Collect the terms in 26*w**2 - 150*w**2 + 1 + 64*w**2 + 75*w**2.
15*w**2 + 1
Collect the terms in -36*w + 41*w + 278 - 278.
5*w
Collect the terms in -91*p - 27 + 475*p + 493*p.
877*p - 27
Collect the terms in -2*r**3 + 4400*r**2 - 4400*r**2 + 448.
-2*r**3 + 448
Collect the terms in 3*u - 24*u**3 - 3*u - 20*u**3 - 52*u**3 + 27*u**3.
-69*u**3
Collect the terms in -19*v**3 - 19*v**2 - 15*v**3 + 21*v**2 - 2*v**2.
-34*v**3
Collect the terms in 6140*k - 438*k - 5704*k.
-2*k
Collect the terms in 0 + 2 + 1 - 37*m**2 + 0 - 217*m**2.
-254*m**2 + 3
Collect the terms in 811*w**3 + 12611*w**2 - 12611*w**2.
811*w**3
Collect the terms in 37*r**2 + 30*r**2 - 143*r**2 + 34*r**2 + 27*r**2.
-15*r**2
Collect the terms in -672*g**3 + 706*g**3 - 35*g**3.
-g**3
Collect the terms in -63*j + 64*j + 595 - 1214 + 619.
j
Collect the terms in -289*v + 3*v**2 - 3766 + 3766.
3*v**2 - 289*v
Collect the terms in 13*j**3 + 5375 - 1339 - 1342 - 1345 - 1349.
13*j**3
Collect the terms in -4290*i + 56*i**2 + 4296*i - 39*i**2.
17*i**2 + 6*i
Collect the terms in 131 + 29*f**2 - 131 + 6*f**2.
35*f**2
Collect the terms in -75*t + 203*t - 171*t.
-43*t
Collect the terms in -37*c - 17*c - 6*c**2 + 16*c + 4*c**2 - c**2.
-3*c**2 - 38*c
Collect the terms in 2*k**2 + 6999607 + 7*k**2 - 6999607.
9*k**2
Collect the terms in 2*y**3 + 718*y - 1033*y + 4*y**2 + y**3.
3*y**3 + 4*y**2 - 315*y
Collect the terms in -712100*r**2 + 0 + 0 + 712039*r**2.
-61*r**2
Collect the terms in 2255752*r - 2255752*r - 5*r**3.
-5*r**3
Collect the terms in -287292*b - 13*b**3 + 287292*b.
-13*b**3
Collect the terms in -72 - 71 + 5*j - 69 + 212.
5*j
Collect the terms in -2*k + 2 - 2*k + 0*k - 2*k.
-6*k + 2
Collect the terms in -887 - y**3 - 4*y**3 + 4*y**3 + 5*y**3.
4*y**3 - 887
Collect the terms in -56035 + 112041 - 2*r**2 - 56006.
-2*r**2
Collect the terms in -42*p**2 + 22*p**2 + 14*p**3 + 20*p**2.
14*p**3
Collect the terms in -184*u**2 - 286*u**2 + 750*u**2 - 292*u**2.
-12*u**2
Collect the terms in -176*t**2 + 86*t**2 + 8*t + 94*t**2.
4*t**2 + 8*t
Collect the terms in 8883*g - 8883*g + 3*g**2.
3*g**2
Collect the terms in 5780*t + 6*t**3 - 7*t**3 - 2894*t - 2903*t + 0*t**3.
-t**3 - 17*t
Collect the terms in 0 + 0 + 150377*k - 150365*k.
12*k
Collect the terms in -315*p + 672*p - 358*p.
-p
Collect the terms in -14*z**3 + 37082*z**2 - 37082*z**2.
-14*z**3
Collect the terms in 5386*k - 5395*k - 1 + 1.
-9*k
Collect the terms in 14 - v**2 + 49 + 2*v - 14.
-v**2 + 2*v + 49
Collect the terms in 59*m + 32*m - 176*m + 92*m.
7*m
Collect the terms in 2420*d**2 - 610*d**2 - 601*d**2 - 604*d**2 - 603*d**2.
2*d**2
Collect the terms in 447*x**2 - 2127*x**2 + 68*x - 68*x.
-1680*x**2
Collect the terms in 3*b - b + 2*b - 9*b + 5*b + 14*b**2.
14*b**2
Collect the terms in 1643616*c + 30 - 14 - 1643617*c - 16.
-c
Collect the terms in -3 + 1 + 3 + 7*o - 7.
7*o - 6
Collect the terms in 2*d - 776958 + 776958.
2*d
Collect the terms in -5*k + 271413 - 271413 - 6*k.
-11*k
Collect the terms in -11*g**2 - 56711 + 0*g**2 + 56711.
-11*g**2
Collect the terms in 28640986*t + 47*t**2 - 28640986*t.
47*t**2
Collect the terms in -22*x + 49 + 13*x - 49 + 9*x + 8*x**3.
8*x**3
Collect the terms in 42 - 17 - 43 - 20*y + 18.
-20*y
Collect the terms in 8*w**3 - 35*w**3 + 14*w**3 + 20*w**3.
7*w**3
Collect the terms in 166935*j**3 - j**2 + 127391*j**3 + j**2.
294326*j**3
Collect the terms in 37*u - 143*u + 40*u + 24*u - 5*u**2 + 42*u.
-5*u**2
Collect the terms in -4*u - 348*u**2 + 4*u + 2529*u**2.
2181*u**2
Collect the terms in -18*s**2 + 8*s**2 + 6*s**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1/70*t**6 - 19*t + 1/4*t**4. Factor s(x).
-3*x*(x - 1)**2*(x + 4)/7
Suppose 88*d - 210 = 54. Let j(v) be the second derivative of 0 - 1/54*v**4 + 2/27*v**d - 1/9*v**2 - 12*v. Factor j(n).
-2*(n - 1)**2/9
Let c(x) = x**2 - 58*x - 59. Let f be c(59). Let r(o) be the third derivative of 0 + f*o - 1/8*o**4 + 0*o**3 + 0*o**5 + 4*o**2 + 1/40*o**6. Factor r(z).
3*z*(z - 1)*(z + 1)
Let k(d) be the third derivative of -d**6/240 - d**5/72 + 7*d**4/24 - 10*d**3/9 + 686*d**2. Determine x, given that k(x) = 0.
-5, 4/3, 2
Let j(q) = -36*q + 399. Let l be j(11). Find y, given that 0*y**2 + 4/7*y**l - 4/7*y + 0 = 0.
-1, 0, 1
Let j(r) be the third derivative of r**8/112 + r**7/5 + 23*r**6/40 - 7*r**5/10 - 3*r**4 + 641*r**2. Find d, given that j(d) = 0.
-12, -2, -1, 0, 1
Let h(s) = -7*s**2 - 1. Let a be h(-1). Let z be 0 + (a/(-2) - 1). Factor 4*l**2 - 5*l**3 + 5*l**3 + 0*l**z + 4*l**3.
4*l**2*(l + 1)
Factor -1044/7*f - 658503/7*f**3 + 8/7 + 45414/7*f**2.
-(87*f - 2)**3/7
Let f(h) be the third derivative of -h**5/360 + 5*h**4/6 - 100*h**3 - 324*h**2. Let f(s) = 0. What is s?
60
Let y = 14/41 - 89/861. Let k = 1/21 + y. Determine h so that -4/7*h**3 + k*h**4 + 2/7*h + 2/7 + 2/7*h**5 - 4/7*h**2 = 0.
-1, 1
Let w be (-14)/(-7) + 212/2. Factor 2*y**3 + 4*y**2 + w - 108 + 2*y.
2*y*(y + 1)**2
Let v(p) = -141*p - 842. Let i be v(-6). Solve 0*g + 2/11 + 2/11*g**i - 4/11*g**2 + 0*g**3 = 0 for g.
-1, 1
Let r(i) = -i**2 - i + 1. Suppose 0 = 4*w - w - 9. Let s(o) = w + 0*o - 2*o**2 + o + 5. Let n(v) = 5*r(v) - s(v). Solve n(b) = 0 for b.
-1
Let c(u) = -104*u**3 - 2 + 1 + u + 103*u**3. Let p(i) = 18*i**4 + 82*i**3 - 166*i**2 + 78*i - 8. Let s(m) = -4*c(m) - p(m). Let s(a) = 0. Calculate a.
-6, 1/3, 1
Factor 0*m + 0 + 32*m**3 + 156/5*m**2 + 4/5*m**4.
4*m**2*(m + 1)*(m + 39)/5
Solve 0 + 8/7*f**2 + 2/7*f**3 + 6/7*f = 0 for f.
-3, -1, 0
Suppose -5*n = 4*p - 26, -4*p - 165*n + 169*n + 8 = 0. Find x such that 3/8*x + 3/4*x**2 - 3/8*x**5 + 0*x**3 - 3/4*x**p + 0 = 0.
-1, 0, 1
Let h(f) = 14*f**2 + 716*f - 710. Let z(c) = -4*c**2 - 238*c + 236. Let m(w) = 3*h(w) + 10*z(w). Factor m(a).
2*(a - 115)*(a - 1)
Suppose -k - g = -8, -14 - 53 = -4*k + 3*g. Factor -3*t**2 + 11*t**3 - 23*t**3 + k*t**3.
t**2*(t - 3)
Let u(s) be the second derivative of 1/10*s**5 + 0*s**2 + 1/3*s**4 + 1/3*s**3 - 20*s + 0. Let u(h) = 0. Calculate h.
-1, 0
Factor 2/5*l**2 - 112*l + 7840.
2*(l - 140)**2/5
Let k = -7479 - -82275/11. Let 6/11*a - 4/11*a**3 - 2/11 - 2/11*a**5 + k*a**4 - 4/11*a**2 = 0. What is a?
-1, 1
Suppose 135*t = 139*t. Let h(o) be the second derivative of 0 + 1/6*o**3 + t*o**2 - 7*o + 1/60*o**5 + 1/9*o**4. Factor h(z).
z*(z + 1)*(z + 3)/3
Let l = -92 + 95. Factor 4*j**l + j**2 - 3*j**3 - 2*j**3 + j**2 - 2*j**4 + j**5.
j**2*(j - 2)*(j - 1)*(j + 1)
Let k(v) = 22*v - 524. Let b be k(24). Let g(y) be the third derivative of 0*y + 4/21*y**3 + 1/210*y**5 + 0 - 1/21*y**b - 4*y**2. Factor g(d).
2*(d - 2)**2/7
Let m be 0/(-2) - (-9)/1. Factor 12*n**2 - m + 3 - 4*n - 6 + 4*n**3.
4*(n - 1)*(n + 1)*(n + 3)
Let v(a) be the second derivative of -a**8/20160 + a**6/180 + 2*a**5/45 - 13*a**4/6 + 30*a. Let z(t) be the third derivative of v(t). Factor z(c).
-(c - 4)*(c + 2)**2/3
Suppose -3*c - 26 = -5*r, -c - 5 = 2*r - 11. Let g(u) be the first derivative of 1/6*u**2 - 1/9*u**3 + r + 1/3*u - 1/12*u**4. Factor g(b).
-(b - 1)*(b + 1)**2/3
Let q be ((-8)/(-24))/(6/9 + (-16)/33). Factor 0 - q*v**2 - v**3 - 1/6*v**4 - v.
-v*(v + 1)*(v + 2)*(v + 3)/6
Factor 32*j**3 + 13*j**2 + 20*j**2 - 28*j**3 + 11*j**2.
4*j**2*(j + 11)
Let x be (2 - 3)*6 + 0. Let l be ((-8)/x)/(6/9). Factor 6 + 0*o**2 - 3*o**l - 3*o + 0.
-3*(o - 1)*(o + 2)
Suppose 0 = -5*c + 5*k - 15, 3*k = -c - 11 - 0. Let b(m) = 25*m**2 - 15*m - 5. Let z(x) = -13*x**2 + 8*x + 3. Let n(f) = c*z(
|
{
"pile_set_name": "DM Mathematics"
}
|
-v**2 - 4*v**3 + 6*v**3 + 0*v**2 - 7*v**4 as o + m*v**3 + l*v + w*v**2 + i*v**4 and give i.
-7
Rearrange -k - 4 + 8*k**2 + 1 - 7*k**2 + 3*k to a*k**2 + w + o*k and give w.
-3
Express 2*j + 0*j - j + (-3 - 1 + 1)*(-2*j + 0*j + 0*j) - 4*j + 4*j - 2*j + 3 - 4*j - 3 as x + u*j and give u.
1
Rearrange (14*a + 1 + 37*a - 22*a)*(-3 + 1 + 1) to n + m*a and give n.
-1
Express (-18*n - 23*n + 34*n)*(n + 3*n - 2*n) as v*n + b*n**2 + a and give v.
0
Express 16*o + 24*o - 5*o in the form n + i*o and give i.
35
Rearrange -2*p**2 + p**3 + 2*p**2 - p**3 + 3*p**3 - p**3 + (p - 3*p + 4*p)*(-596*p + 596*p - 42*p**2) to the form m*p**3 + i*p + u + w*p**2 and give m.
-82
Rearrange (-4*r + 0*r + 5*r)*(10 - 4 + 3) - r - 7*r + 3*r to the form o*r + u and give o.
4
Express -13 - 2*i**2 + 3*i**2 + 15 - i as u + s*i + l*i**2 and give l.
1
Rearrange (19 - 2 - 4)*(-2*n + 4*n + 2*n)*(n + 2 - 2) + (2*n**2 + 1 - 1)*(0 + 0 - 2) to g + k*n**2 + o*n and give k.
48
Rearrange -15*j - 86 + 86 + 1 - 2*j - 1 + (-1 + 3 - 3)*(-3*j + j + 3*j) - j + 1 - 1 to the form o*j + w and give o.
-19
Express -16 + 14 - i**3 - i + 4*i**3 in the form b*i + c*i**3 + l + f*i**2 and give l.
-2
Rearrange -2*w**3 - 1 + 12*w**2 - 40*w**2 + 20*w**2 to the form k*w**2 + a + j*w + q*w**3 and give a.
-1
Rearrange 44*v**2 + 2 - 7 - 39*v**2 to the form d + w*v**2 + l*v and give d.
-5
Rearrange 16 - 38 + 32 + 2*y**2 to the form j*y**2 + g*y + h and give j.
2
Express 3*y**3 - 2*y**3 + y**3 + (-y + 3*y - 5*y)*(-y**2 - 2*y**2 + 5*y**2) + 11*y - 11*y + 14*y**3 in the form c*y**3 + k*y**2 + b + u*y and give c.
10
Express -5*k + 3*k + k + (-2 - 3 + 3)*(k + 3*k - 3*k) - 12*k + 66*k + 38*k in the form n + s*k and give s.
89
Express (-68*l - 70*l + 135*l - 23)*(-1 + 0 + 4)*(-3 + 1 + 1)*(0*l - l - l) as s*l**2 + b + x*l and give x.
-138
Rearrange -51*t**2 + 54*t**2 - 4 + 2 + 2*t to the form d*t**2 + z + l*t and give l.
2
Express -70 + 206*j + 141 - 71 in the form v*j + x and give v.
206
Express (0*b + 2*b - 7*b)*(43*b**2 - 2 - 79*b**2 + 40*b**2) in the form u*b**3 + w + c*b + m*b**2 and give c.
10
Express -23*k**2 - 9*k**2 - 3*k**2 + 3*k**2 in the form n*k**2 + w*k + h and give n.
-32
Express (0*o + 2*o + 0*o)*(0 - 3 - 3)*(3 + 1 - 2) in the form b + y*o and give y.
-24
Rearrange -14*n**2 - 2*n + 25*n**2 - 9*n**2 + (3*n**2 - 5*n**2 + 0*n**2)*(-7 + 4 + 1) to the form k*n + i + z*n**2 and give z.
6
Rearrange p**4 - 4*p**3 - 2*p - 2 + 6*p**3 - p**3 to x*p + b*p**2 + o*p**4 + u + a*p**3 and give o.
1
Express -1 - 1 - 24*h - 66*h + 8*h as x*h + v and give v.
-2
Rearrange (-11*v - 15*v + v)*(1 - 1 + 2*v) + 0 + 0 + 2*v**2 to the form w*v**2 + n + d*v and give d.
0
Express 18*m**4 - 4 - 19*m**4 + 3 + 3*m in the form h*m**4 + g*m**3 + w*m + s + t*m**2 and give g.
0
Rearrange 2*q**3 - q**4 - 10*q + 22*q + 3 - 14*q to o*q**4 + j*q**3 + p*q + k*q**2 + w and give p.
-2
Express 6 - 6 + 151*b - 91*b in the form c*b + l and give c.
60
Express ((2*d - 2*d + 2*d)*(2 - 4 + 0) + 86*d + 90*d + 24*d)*(2*d**3 - 2*d**3 + 2*d**3) in the form y*d**4 + i + k*d + q*d**3 + a*d**2 and give y.
392
Express (3*m - m - m)*(6*m - 4*m - m) - 10*m**2 - 9*m**2 + 8*m**2 - 2*m**2 + 5*m**2 - m**2 - m + m**2 + m as a*m + y*m**2 + w and give y.
-7
Express 0*v**2 - 2*v**2 - 104*v + 113*v in the form s + w*v**2 + f*v and give f.
9
Express 2*v**3 + 100*v**4 + 1 - 2*v**2 - 261*v**4 + 129*v**4 as a*v**2 + m*v**3 + k*v + o*v**4 + t and give t.
1
Express 649 - 2*r - 649 as k + f*r and give f.
-2
Rearrange -u + 16*u - u to m*u + v and give m.
14
Express -3*c**4 - c**4 + 2*c**4 + (1 - 1 + 2*c)*(-20*c**3 - 20*c**3 + 15*c**3) in the form w + g*c**4 + v*c + u*c**2 + o*c**3 and give g.
-52
Express -q + 0*q + 0*q + (-2*q + 2*q - q)*(2 - 3 + 2) + 2 + 3*q - 2*q - 2*q as j*q + g and give g.
2
Express (3 - i - 3)*(-238 - 10*i + 238 + (-1 - 5 + 4)*(-i + i + i) - 4*i + i + i) as k*i**2 + a + h*i and give k.
14
Express (5 + 1 - 4)*(-c**3 - 7*c**3 + 5*c**3 + (0 - 2*c**2 + 0)*(c + 2 - 2)) in the form a*c +
|
{
"pile_set_name": "DM Mathematics"
}
|
n base 14, what is -85 - 1d6dd6?
-1d707b
In base 10, what is 678497 - -525?
679022
In base 7, what is 0 - -1104240040?
1104240040
In base 15, what is -e05 - -650?
-7a5
In base 6, what is -131 + -24542035?
-24542210
In base 12, what is -51b9967 + -2?
-51b9969
In base 4, what is -100030102020 - 0?
-100030102020
In base 14, what is 3 - b506566?
-b506563
In base 9, what is 8286571 + 64?
8286645
In base 15, what is -12ebe + 33?
-12e8b
In base 14, what is 4d1d - -267?
5186
In base 5, what is -300 - -133314004?
133313204
In base 3, what is -12001 + -100022220200?
-100100002201
In base 10, what is -272748 + 235?
-272513
In base 10, what is 3294489 - -7?
3294496
In base 5, what is -3110120 + 2134?
-3102431
In base 16, what is 3c - -46451?
4648d
In base 7, what is -6131435 - -30?
-6131405
In base 14, what is 1c0a4 - 1619?
1a889
In base 7, what is 5 + -3221156602?
-3221156564
In base 2, what is -11000000 + 1001111101011001001000?
1001111101010110001000
In base 16, what is -209fda9 - 7?
-209fdb0
In base 8, what is -2477 + -3522200?
-3524677
In base 8, what is 66 + -2064546?
-2064460
In base 8, what is 17270 - 14545?
2523
In base 14, what is -82c6a4 + -6?
-82c6aa
In base 11, what is 1 + 3101134?
3101135
In base 9, what is -5623457 + -24?
-5623482
In base 12, what is 0 + -1031867?
-1031867
In base 16, what is 0 + -290a7f?
-290a7f
In base 11, what is 69839 - 179?
69670
In base 10, what is 209 - -6401?
6610
In base 15, what is -4 - 8493cc2?
-8493cc6
In base 2, what is -11100110110101101111 - 100?
-11100110110101110011
In base 3, what is 12 - -21010020020002100?
21010020020002112
In base 9, what is 20335200 - 13?
20335176
In base 2, what is -1010 + 10001001010011101101?
10001001010011100011
In base 7, what is 112251423 - 126?
112251264
In base 4, what is 10 + 23321120?
23321130
In base 7, what is -162 - -3165016?
3164524
In base 7, what is 0 + -22023121?
-22023121
In base 15, what is -2 + d6db15?
d6db13
In base 16, what is 27a5acd - 0?
27a5acd
In base 16, what is -1939833 + -5?
-1939838
In base 2, what is 11 - -1011100000011111010100100010?
1011100000011111010100100101
In base 8, what is -76512 - 21744?
-120456
In base 5, what is 1 - -12141044242?
12141044243
In base 13, what is 0 + c970032?
c970032
In base 5, what is -4 + -1004400341?
-1004400400
In base 11, what is 47851 + 40a2?
50943
In base 9, what is -1326721 + -518?
-1327340
In base 14, what is 0 + -1737285?
-1737285
In base 9, what is -11 - 2522707?
-2522718
In base 4, what is -1320 - -10020320331?
10020313011
In base 4, what is 10213022312 + 10200?
10213033112
In base 10, what is 3827601 + 389?
3827990
In base 5, what is 22 + 244141423?
244142000
In base 8, what is 57340221 - 43?
57340156
In base 16, what is eb45 + 2707?
1124c
In base 3, what is 2100100201121111 + 101?
2100100201121212
In base 9, what is 1 + 5381065?
5381066
In base 14, what is 7b + -1a830?
-1a793
In base 5, what is 10101342021430 + -2?
10101342021423
In base 13, what is -6b4 - -17a97?
173b3
In base 14, what is 193674c3 + 0?
193674c3
In base 12, what is 0 + -1a2873a5?
-1a2873a5
In base 12, what is -2 + -46a720b?
-46a7211
In base 8, what is -2116767701 - -2?
-2116767677
In base 8, what is 37735 + 5322?
45257
In base 6, what is 43012 + 224432?
311444
In base 4, what is 113021001 - -1301?
113022302
In base 12, what is -25089a7 + -5?
-25089b0
In base 14, what is -c - 10b998?
-10b9a6
In base 14, what is -88 + -91d506?
-91d590
In base 2, what is 10000111100011010 - -10000110111010?
10011000011010100
In base 9, what is -311 + 3115641?
3115330
In base 6, what is 2045 - -23511213?
23513302
In base 3, what is -22 + 222001200020?
222001122221
In base 5, what is 4 + 144344313?
144344322
In base 5, what is -2 + -401430404312?
-401430404314
In base 8, what is -26532210 + 75?
-26532113
In base 2, what is 101010 - 1010101001111100000?
-1010101001110110110
In base 13, what is 42ac4257 + 2?
42ac4259
In base 15, what is -da05e75 - -5?
-da05e70
In base 15, what is 2 + 54db66a?
54db66c
In base 9, what is 437 + 13377?
13825
In base 11, what is 765316 - 33?
765293
In base 5, what is 111 - -1101330341?
1101331002
In base 13, what is 9a98c3b - 3?
9a98c38
In base 11, what is -760971 - 1?
-760972
In base 13, what is -139887 - -b?
-139879
In base 2, what is 1011111111110011 + -100101000?
1011111011001011
In base 8, what is -1076224433 - 3?
-1076224436
In base 2, what is 100011110000110101 + 10010101?
100011110011001010
In base 5, what is 2042010344 - -10?
2042010404
In base 15, what is -dc + -a?
-e7
In base 2, what is -10010000011010 + -1010010100110?
-11100011000000
In base 11, what is -220238a5 - -2?
-220238a3
In base 5, what is -213 + -11423230?
-11423443
In base 13, what is 1c283c84c - -1?
1c283c850
In base 10, what is 5273 - 46851?
-41578
In base 2
|
{
"pile_set_name": "DM Mathematics"
}
|
he greatest common divisor of 8 and w.
1
Let a(l) = l**2 - 9*l - 6. Let z be a(10). Suppose 2*m - 36 = m + 5*c, 0 = c - z. Let s = -13 + 21. Calculate the greatest common factor of s and m.
8
Let d(m) = 26*m + 22. Let a be d(-3). Let q = a - -60. Calculate the greatest common factor of q and 3.
1
Let i = -4 - -10. Suppose -2*y - i = -2*g, 2*g = -5*y + 2*y + 16. Let b(l) = -l + 25. Let j be b(0). What is the highest common factor of g and j?
5
Let x = -61 + 59. Let c be 0 - x/(-3) - 583/(-33). Calculate the greatest common divisor of c and 34.
17
Suppose 0*l = -4*l - 44. Let u(m) = 2*m + 23. Let z be u(l). What is the highest common factor of 3 and z?
1
Suppose 100*m - 59*m = 55063. What is the greatest common divisor of m and 68?
17
Suppose 2*n - 205 = -77. What is the highest common divisor of 4 and n?
4
Let j be -1 + 2 - (-7 - -6). Suppose j*l = 5*n - l - 759, -5*l + 10 = 0. Calculate the greatest common factor of n and 17.
17
Let b = 10 - 13. Let g be 45*(30 + b)/3. Suppose -15*p - g = -20*p. What is the highest common divisor of 9 and p?
9
Suppose 209*o - 191*o = 7236. What is the greatest common divisor of o and 6?
6
Let w(m) = 3*m**3 + 38*m**2 + 19*m + 27. Let y be w(-12). What is the highest common divisor of y and 116?
29
Let c = 22 - 13. Let g = -43 - -52. Let m(t) = t**2 - t + 27. Let y be m(g). Calculate the highest common factor of y and c.
9
Suppose -309 = -5*y - 176*k + 173*k, 0 = y - 3*k - 69. Calculate the highest common factor of y and 126.
63
Let r(a) = 2*a + 10. Let s = 69 - 64. Let b be r(s). What is the highest common divisor of 60 and b?
20
Let z(q) = -2*q**2 - 19*q + 11. Let f be z(-10). Suppose 2*p + 1 = 5*j - 48, 0 = j + 5*p + 1. Calculate the greatest common divisor of j and f.
1
Suppose 365 = 17*b - 162. What is the greatest common divisor of b and 279?
31
Suppose 0 = 3*m - 0*m - 297. Let p(q) = -2*q**3 + 2*q**2 + 3*q - 4. Let u be p(-3). Suppose n - 70 = -u. Calculate the greatest common divisor of m and n.
11
Suppose -5*a + 688 = -a + 4*w, 0 = a + 3*w - 166. What is the highest common divisor of a and 91?
7
Let s = -598 - -614. What is the greatest common factor of 248 and s?
8
Let t(l) = 2*l - 7. Let s be t(5). Suppose r + s*r = 8. Suppose -2*k = r - 8. What is the greatest common divisor of 2 and k?
1
Suppose 8 = -4*w, w + 176 = 5*g + 3*w. Suppose -132 = -4*n - g. What is the highest common divisor of n and 8?
8
Let o be (-195)/(-45) + 4/(-3) + 1. Let w(i) = 14*i**2 - 5*i - 1. Let u be w(o). Calculate the greatest common factor of u and 29.
29
Let u(l) be the first derivative of -5*l**2 - 9 - l**2 + 2*l**2 - 60*l + 58*l. Let b be u(-6). What is the greatest common factor of 23 and b?
23
Suppose -2*b - 808 = -5*b + 4*i, -2*i = 4*b - 1048. Let x = 119 + -86. What is the greatest common factor of b and x?
33
Let j = 111 + -109. Suppose 29 = p - 3*t, 2*p = -2*p - j*t + 102. What is the highest common divisor of p and 39?
13
Let t be ((-248)/(-32))/(1/12). Calculate the highest common factor of t and 124.
31
Suppose 0 = -3*f + 12, 6 = 5*b - 3*f - 7. Calculate the greatest common divisor of 65 and b.
5
Let b(d) = -d**3 - 5*d**2 - 6*d + 1. Let m be b(-2). Suppose -4*u + 0*u + 8 = 0. Calculate the greatest common factor of m and u.
1
Let n be (-4 - -3)*2/((-4)/90). Suppose -n - 3 = -2*z. What is the greatest common divisor of 6 and z?
6
Let d be 850/20*12/2. Calculate the greatest common divisor of 15 and d.
15
Let v = 18 + -11. Suppose 0 = v*n - 5*n - 110. Calculate the greatest common divisor of 5 and n.
5
Suppose 3*s - 12*y + 8*y - 16950 = 0, 2*s - 11300 = y. Calculate the highest common divisor of 10 and s.
10
Suppose 0 = 38*n - 30*n - 112. What is the greatest common divisor of n and 14?
14
Let w be (22/77)/1 - 502/(-7). What is the greatest common divisor of 936 and w?
72
Let j be (92/4)/(2 + -1). Let k be j + -6 + -3 + 7. Calculate the greatest common factor of 189 and k.
21
Suppose 42*d + 12*d = 21924. What is the highest common factor of 84 and d?
14
Let h(o) = o**3 + 8*o**2 - 10*o + 1. Let w be h(-7). Let r be -7 - -4 - 184/2. Let p be (-1349)/r + 4/5. Calculate the highest common divisor of w and p.
15
Let z = 389 - -511. What is the greatest common factor of z and 60?
60
Let z(c) = -487*c**3 - 2*c**2 - 17*c - 16. Let s be z(-1). What is the highest common divisor of s and 378?
54
Let i = 1510 + -1098. Calculate the highest common factor of i and 721.
103
Let f(h) = 2*h**2 + 27*h + 208. Let u be f(-7). Suppose 0*s + 5*s - 390 = 0. Calculate the highest common divisor of u and s.
39
Suppose 23 = -5*o + 18. Let n = 11 + o. What is the highest common factor of 4 and n?
2
Let d be 15 + -1*(-3)/(-1). Suppose 5*l = 4*w - 12, -3 = -6*l + 3*l - w. Suppose l = r + 3, -22 = 3*t - 7*t + 2*r. What is the highest common factor of t and d?
4
Let u = 80 - 56. Calculate the greatest common divisor of 42 and u.
6
Suppose -10*y = -18*y + 48. Calculate the highest common factor of y and 102.
6
Let p be 4 + (-9)/(-3 + 6). Let q be p/4 + (-49)/(-28). Let f(d) = d**2 - 10*d + 12. Let s be f(9). What is the highest common factor of s and q?
1
Let u = -816 - -822. Calculate the greatest common factor of 2 and u.
2
Suppose 13 = 9*q - 113. What is the highest common factor of q and 14?
14
Let z = -4 - -11. Let d be (2 - 16)/((-80)/440). What is the highest common factor of d and z?
7
Let l be 390/36 - -5 - 2/(-12). What is the highest common divisor of 200 and l?
8
Let b = 90 + -2. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
o) + 6*i(o). Determine u(1).
-64
Let o be ((-3)/9)/(100 + -104 - (-37)/9). Let s(m) = 3*m - 11. Let u(d) = -d + 5. Let c(w) = -6*s(w) - 13*u(w). Determine c(o).
16
Suppose 5*i = 4*h + 8, 4*h = -5*i - 9 + 41. Let n(k) = 294*k**2 + 9*k - 151*k**2 + k**3 + 7*k - 146*k**2 - 1 + 10*k - 28*k. What is n(i)?
7
Let w(h) = -27*h - 4. Let n(s) = -38*s - 6. Let o(m) = -5*n(m) + 7*w(m). Suppose -z - 3 = -v, 2*z - 24 = -0*v - 4*v. Give o(v).
7
Let t = 29292 - 29281. Let y(v) = v**3 - 10*v**2 - 8*v - 34. What is y(t)?
-1
Let s(b) = b**3 - 15*b**2 - 15*b - 10. Let r(d) = 8*d**3 - 6*d**2 + 5*d + 15. Let z be r(3). Suppose -a - z = -13*a. Calculate s(a).
6
Let g = -29859 - -29837. Let t(y) = y**3 + 20*y**2 - 48*y - 46. Determine t(g).
42
Suppose 2*g - 20 = -0*g. Let r = 1 - -27. Let l(y) = -r*y - 6 - 2 + 29*y - 6. What is l(g)?
-4
Let l(s) be the second derivative of 2*s**3/3 - s**2/2 - 1619*s + 1. What is l(-2)?
-9
Suppose -3*k + 8 = -25. Suppose -l - k = -2*l. Let r(i) = 2741 + 13*i + i**3 - i + i**3 - 2745 - 3*i**3 + 10*i**2. Calculate r(l).
7
Let q(z) = 4*z**2 + 40*z - 120. Let t be q(3). Let r = t + -44. Let h(m) be the third derivative of -m**4/24 - 5*m**3/3 - m**2. Give h(r).
-2
Let m(g) = g**2 + 66*g - 49. Let y be m(-67). Let o(k) = -k**2 + 19*k + 2. Give o(y).
20
Let i(n) be the second derivative of -n**4/12 + 5*n**3/2 - 11*n**2 + 1086*n - 2. What is i(14)?
-8
Let a(b) = -b**3 - 30*b**2 - 31*b - 66. Let f = 3148 + -3177. Determine a(f).
-8
Let z(i) = i**2 + 15*i - 29. Let l be z(-9). Let d = -79 - l. Let r(n) = 4*n - d*n**2 - n + 5*n**2 + 2*n. What is r(-5)?
0
Let w(i) = -55*i - 438. Let q(u) = 91*u**2 - 1457*u + 8. Let k be q(16). What is w(k)?
2
Let q(j) = -j**3 + 6*j**2 - 7*j - 8. Suppose -2*t - 66 = 27*t - 182. Calculate q(t).
-4
Let m(n) be the first derivative of -n**3/3 - 5*n**2 - 10*n + 1363. Suppose 2*o = -o - 12, 2*h - 3*o = 16. Let f be (14/(-4))/(1/h). Give m(f).
11
Let b(d) = -d**2 - 12*d. Let n be (-6)/4*912/342. Calculate b(n).
32
Let j(c) = 247*c + 61. Let h(g) = -61*g + 1. Let q(n) = -4*h(n) - j(n). Calculate q(-22).
1
Let g(f) be the third derivative of -3*f**6/40 + f**5/60 - f**4/24 - f**3/6 + 602*f**2. Suppose -3*y = 5*r - 7, 16 = 4*r - 0*r + 5*y. Determine g(r).
10
Let h(b) be the third derivative of -b**6/120 + 7*b**5/60 + 53*b**4/24 - 182*b**3/3 + 5*b**2 - 292*b + 2. Calculate h(7).
7
Let v(b) be the first derivative of b**7/840 - b**6/40 + 3*b**5/40 - b**4/24 - b**3/3 + 2*b - 27. Let m(c) be the third derivative of v(c). Calculate m(8).
7
Let w = -1 + 4. Let i(f) = -11*f - 4. Let j(s) = 14*s - 17. Let l(r) = 43*r - 47. Let x(y) = -17*j(y) + 6*l(y). Let v(p) = -5*i(p) - 3*x(p). Give v(w).
-16
Let g(t) = 34*t + 301. Let w(d) = -d**2 - 60*d - 653. Let v be w(-14). Calculate g(v).
-5
Let l(j) be the first derivative of 3*j**2/2 + 74*j - 4167. Calculate l(-29).
-13
Let b(m) = 18*m - 12. Let p(g) = g**3 - 20*g**2 + 5*g - 99. Let z be p(20). Give b(z).
6
Let r(z) = -z**2 - 6*z + 8. Let d be (-6)/10 + (-490)/(-25). Suppose 0 = -4*j + 17 + d. Let x(i) = 2*i**3 - 18*i**2 - 7. Let v be x(j). Determine r(v).
1
Let t(q) = q**2 - 14*q - 4. Let h be t(14). Let o be h - (-24)/(-20)*5. Let a(p) = -p + 6*p - 4*p - 9*p**2 - p**3 + 7 - p**2. Determine a(o).
-3
Let n(x) = 8*x + 15*x - 52*x + 11*x + 14*x + 4. Determine n(5).
-16
Let l(z) = -240*z + 13914. Let a be l(58). Let f(v) be the third derivative of 0*v + 2/3*v**3 - 2*v**2 + 1/24*v**4 + 1/120*v**6 + 0 + 1/10*v**5. Determine f(a).
-2
Let k(p) be the second derivative of p**4/6 + 9*p**3/2 - 5*p**2/2 - 8339*p. Calculate k(-8).
-93
Let y be (-174)/232*(-32)/6. Let f(b) be the first derivative of -10 - b**2 - 1/4*b**y + b + 2*b**3. What is f(3)?
22
Let u be (-4)/1*260/(-208). Let c(q) = 4*q - 6 + 4*q**2 + 4*q**3 + 3 + u*q - 5*q**3 - 2*q. Give c(5).
7
Suppose 3*g + 33 - 8 = 4*u, 4*g = -2*u - 70. Let p(j) = 3*j**2 - 17*j + 26. Let h(l) = 5*l**2 - 33*l + 51. Let d(i) = -4*h(i) + 7*p(i). Give d(g).
8
Let s(i) = 0*i
|
{
"pile_set_name": "DM Mathematics"
}
|
38, -8446?
-1408*h + 2
What is the t'th term of -100, -94, -66, -4, 104, 270, 506?
2*t**3 - t**2 - 5*t - 96
What is the u'th term of -107, -96, -71, -26, 45, 148, 289?
u**3 + u**2 + u - 110
What is the b'th term of 31, 33, 31, 25, 15?
-2*b**2 + 8*b + 25
What is the c'th term of 190, 381, 572, 763?
191*c - 1
What is the n'th term of -1725, -1729, -1737, -1749, -1765?
-2*n**2 + 2*n - 1725
What is the h'th term of 5190, 5188, 5186, 5184, 5182?
-2*h + 5192
What is the i'th term of 2056, 2053, 2048, 2041, 2032?
-i**2 + 2057
What is the r'th term of 49, 193, 439, 793, 1261?
r**3 + 45*r**2 + 2*r + 1
What is the a'th term of 27, 48, 59, 54, 27, -28, -117?
-a**3 + a**2 + 25*a + 2
What is the r'th term of 2892, 2879, 2840, 2763, 2636, 2447, 2184?
-2*r**3 - r**2 + 4*r + 2891
What is the x'th term of 46, 56, 72, 94, 122?
3*x**2 + x + 42
What is the d'th term of 124, 106, 62, -20, -152, -346, -614?
-2*d**3 - d**2 - d + 128
What is the p'th term of 1, -108, -291, -548?
-37*p**2 + 2*p + 36
What is the g'th term of -102, -202, -302?
-100*g - 2
What is the a'th term of 104, 91, 78, 65, 52?
-13*a + 117
What is the r'th term of -3, -21, -53, -99, -159?
-7*r**2 + 3*r + 1
What is the t'th term of 72, 48, 14, -24, -60?
t**3 - 11*t**2 + 2*t + 80
What is the p'th term of 191, 382, 573, 764, 955?
191*p
What is the m'th term of -161, -164, -169, -176?
-m**2 - 160
What is the d'th term of 116, 62, 8, -46?
-54*d + 170
What is the r'th term of 15, 60, 135, 240, 375, 540?
15*r**2
What is the w'th term of 165, 652, 1463, 2598?
162*w**2 + w + 2
What is the o'th term of 248, 271, 308, 359, 424, 503?
7*o**2 + 2*o + 239
What is the o'th term of 21, 22, 23, 24, 25, 26?
o + 20
What is the v'th term of 28, 69, 122, 175, 216, 233, 214, 147?
-2*v**3 + 18*v**2 + v + 11
What is the f'th term of -4, -44, -110, -202, -320, -464?
-13*f**2 - f + 10
What is the h'th term of 161, 165, 169, 173, 177, 181?
4*h + 157
What is the c'th term of 40, 47, 50, 49, 44?
-2*c**2 + 13*c + 29
What is the t'th term of 365, 733, 1103, 1475, 1849?
t**2 + 365*t - 1
What is the d'th term of 196, 285, 374?
89*d + 107
What is the g'th term of 12, 33, 60, 87, 108?
-g**3 + 9*g**2 + g + 3
What is the h'th term of 536, 539, 542, 545?
3*h + 533
What is the p'th term of 7, 44, 85, 130, 179?
2*p**2 + 31*p - 26
What is the c'th term of 735, 734, 733, 732, 731, 730?
-c + 736
What is the h'th term of 4187, 4190, 4193, 4196?
3*h + 4184
What is the p'th term of 15, 75, 175, 315, 495?
20*p**2 - 5
What is the i'th term of 47, 92, 135, 176?
-i**2 + 48*i
What is the j'th term of -225, -449, -673, -897?
-224*j - 1
What is the r'th term of -180, -362, -544, -726, -908?
-182*r + 2
What is the o'th term of -23, -29, -47, -77, -119, -173, -239?
-6*o**2 + 12*o - 29
What is the l'th term of -3968, -3973, -3982, -3995, -4012?
-2*l**2 + l - 3967
What is the v'th term of -3, -10, -21, -36?
-2*v**2 - v
What is the x'th term of 7356, 7364, 7376, 7392, 7412, 7436, 7464?
2*x**2 + 2*x + 7352
What is the s'th term of -22, 5, 44, 89, 134, 173?
-s**3 + 12*s**2 - 2*s - 31
What is the k'th term of 949, 952, 953, 952, 949?
-k**2 + 6*k + 944
What is the w'th term of 360, 736, 1112, 1488?
376*w - 16
What is the d'th term of 17, 9, -3, -19, -39, -63, -91?
-2*d**2 - 2*d + 21
What is the s'th term of -484, -1955, -4410, -7849, -12272, -17679?
-492*s**2 + 5*s + 3
What is the f'th term of 2152, 2154, 2156, 2158, 2160, 2162?
2*f + 2150
What is the s'th term of 386, 770, 1154, 1538, 1922, 2306?
384*s + 2
What is the x'th term of 69, 54, 47, 54, 81?
x**3 - 2*x**2 - 16*x + 86
What is the h'th term of -9439, -18880, -28321, -37762?
-9441*h + 2
What is the t'th term of 275, 553, 829, 1103, 1375?
-t**2 + 281*t - 5
What is the c'th term of 792, 791, 788, 783, 776?
-c**2 + 2*c + 791
What is the l'th term of 37, 75, 105, 121, 117?
-l**3 + 2*l**2 + 39*l - 3
What is the c'th term of 1, 0, 1, 4, 9?
c**2 - 4*c + 4
What is the l'th term of 28, -33, -92, -149, -204, -257, -308?
l**2 - 64*l + 91
What is the b'th term of 15, 20, 29, 42, 59, 80?
2*b**2 - b + 14
What is the u'th term of 51, 54, 57?
3*u + 48
What is the b'th term of -6, 10, 36, 72, 118?
5*b**2 + b - 12
What is the l'th term of -128, -130, -132, -134?
-2*l - 126
What is the g'th term of -130, -125, -112, -91?
4*g**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
the smallest common multiple of 9 and 103?
927
What is the least common multiple of 8 and 1284?
2568
What is the least common multiple of 84 and 56?
168
Calculate the common denominator of 11/11184 and 59/24.
11184
Calculate the lowest common multiple of 126 and 10.
630
Calculate the common denominator of 85/36 and -63/124.
1116
Calculate the smallest common multiple of 35 and 85.
595
Find the common denominator of -50/541 and -65/3.
1623
Calculate the least common multiple of 506 and 2070.
22770
Calculate the common denominator of 99/64 and -9/16.
64
What is the least common multiple of 120 and 32?
480
What is the smallest common multiple of 478 and 1195?
2390
Calculate the smallest common multiple of 125 and 26.
3250
Find the common denominator of -14/5 and -71/60.
60
Calculate the smallest common multiple of 1302 and 3038.
9114
What is the common denominator of 14/11 and 65/12?
132
What is the least common multiple of 40 and 228?
2280
Calculate the common denominator of -41/69 and -145/6.
138
What is the lowest common multiple of 266 and 4?
532
Find the common denominator of 95/72 and -109/504.
504
Find the common denominator of -16/35 and 44/35.
35
What is the common denominator of -39/14 and -121/1380?
9660
What is the common denominator of -3/395 and 109/105?
8295
Calculate the lowest common multiple of 1125 and 325.
14625
Calculate the lowest common multiple of 44 and 231.
924
Calculate the smallest common multiple of 162 and 60.
1620
What is the lowest common multiple of 20 and 80?
80
Calculate the smallest common multiple of 14 and 940.
6580
Find the common denominator of 50/93 and 50/117.
3627
Calculate the smallest common multiple of 399 and 114.
798
What is the smallest common multiple of 291 and 30?
2910
What is the common denominator of 89/96 and -73/1914?
30624
Find the common denominator of -123/10 and 115/8412.
42060
Calculate the smallest common multiple of 276 and 759.
3036
Find the common denominator of 44/1801 and -47/7.
12607
Find the common denominator of -59/3392 and -47/4452.
71232
What is the common denominator of -107/5336 and -97/4?
5336
Calculate the lowest common multiple of 312 and 130.
1560
Find the common denominator of 107/72 and 57/2.
72
Calculate the least common multiple of 2704 and 6760.
13520
Find the common denominator of -30/19 and 29/4.
76
Find the common denominator of -77/10 and 101/378.
1890
Calculate the common denominator of -49/46 and -36/115.
230
Calculate the common denominator of 31/5 and 17/378.
1890
What is the smallest common multiple of 5 and 145?
145
What is the common denominator of 69/124 and -49/310?
620
Find the common denominator of 8/85 and 5/136.
680
Find the common denominator of -85/18 and 49/1318.
11862
Find the common denominator of 41/360 and -95/12.
360
Find the common denominator of -71/1152 and 121/1152.
1152
What is the least common multiple of 100 and 24?
600
Find the common denominator of 39/10 and 101/476.
2380
What is the common denominator of 167/90 and -41/33?
990
What is the common denominator of 7/494 and -52/209?
5434
What is the least common multiple of 246 and 18?
738
Find the common denominator of -36/11 and -71/21.
231
Calculate the common denominator of 43/136 and -25/88.
1496
What is the smallest common multiple of 18 and 20?
180
What is the lowest common multiple of 4 and 45?
180
Calculate the common denominator of -9/1769 and 45/8.
14152
Calculate the common denominator of -59/12 and -71/40.
120
Calculate the lowest common multiple of 35 and 30.
210
What is the common denominator of -119/24 and 145/6?
24
What is the common denominator of -15/236 and 61/2?
236
What is the common denominator of 68/171 and 55/6?
342
Calculate the least common multiple of 224 and 28.
224
Calculate the common denominator of 65/2372 and 49/24.
14232
What is the least common multiple of 452 and 20?
2260
Calculate the common denominator of 101/1128 and 89/120.
5640
What is the smallest common multiple of 1067 and 97?
1067
Find the common denominator of 54/115 and -8/115.
115
What is the common denominator of -71/34 and -56/187?
374
What is the lowest common multiple of 336 and 4?
336
Calculate the lowest common multiple of 13134 and 16.
105072
What is the least common multiple of 300 and 24?
600
Find the common denominator of -49/162 and -32/873.
15714
Calculate the least common multiple of 2 and 5952.
5952
What is the common denominator of -59/495 and -36/385?
3465
Calculate the lowest common multiple of 44 and 16.
176
What is the smallest common multiple of 6 and 36?
36
Calculate the least common multiple of 29 and 53.
1537
What is the common denominator of 31/354 and 37/48?
2832
What is the common denominator of 65/267 and -97/2?
534
What is the common denominator of 13/154 and 28/3?
462
Calculate the smallest common multiple of 17628 and 624.
70512
Find the common denominator of 47/996 and 45/8.
1992
Calculate the smallest common multiple of 92 and 483.
1932
What is the common denominator of -23/216 and 31/27?
216
Calculate the common denominator of 151/174 and 95/116.
348
What is the common denominator of -85/66 and -31/8?
264
Find the common denominator of -65/282 and 46/27.
2538
Calculate the common denominator of -61/32 and -80/399.
12768
Calculate the smallest common multiple of 654 and 21.
4578
Calculate the smallest common multiple of 273 and 819.
819
What is the common denominator of 87/998 and -51/8?
3992
Calculate the common denominator of -14/405 and 26/405.
405
What is the least common multiple of 712 and 6?
2136
What is the least common multiple of 159 and 24?
1272
Find the common denominator of 16/9 and -37/369.
369
What is the lowest common multiple of 33 and 186?
2046
What is the least common multiple of 2 and 40?
40
Calculate the lowest common multiple of 750 and 100.
1500
What is the least common multiple of 6 and 12?
12
What is the common denominator of -8/889 and -40/127?
889
Calculate the common denominator of 101/11502 and -19/6.
11502
Find the common denominator of 17/60 and -49/102.
1020
Find the common denominator of 117/20 and -73/4.
20
Find the common denominator of 26/1179 and 4/1179.
1179
What is the common denominator of -36/47 and -5/22?
1034
Calculate the smallest common multiple of 4 and 6.
12
What is the smallest common multiple of 24 and 948?
1896
Calculate the lowest common multiple of 180 and 80.
720
What is the least common multiple of 900 and 24?
1800
Calculate the least common multiple of 848 and 6148.
24592
What is the lowest common multiple of 60 and 12?
60
Calculate the lowest common multiple of 5472 and 84.
38304
What is the smallest common multiple of 4322 and 10?
21610
Calculate the common denominator of -5/42 and 41/21.
42
What is the smallest common multiple of 7482 and 18?
22446
What is the common denominator of 73/1190 and 67/850?
5950
What is the lowest common multiple of 243 and 72?
1944
What is the smallest common multiple of 42 and 33?
462
What is the least common multiple of 243 and 1026?
9234
Calculate the smallest common multiple of 290 and 660.
19140
Calculate the smallest common multiple of 13806 and 3186.
41418
Calculate the common denominator of -17/
|
{
"pile_set_name": "DM Mathematics"
}
|
707/920)
Simplify ((a**(2/7))**27/(a/(a*a/(a*a**(1/3)*a)*a)*a**(-1/3)))**(-13) assuming a is positive.
a**(-702/7)
Simplify q**(1/19)/(q*q/q**(3/16))*(q/(q**(-4/3)*q))**(-2/73) assuming q is positive.
q**(-119597/66576)
Simplify z**(8/3)*z**(1/5)*((z*z**(-5))/z)/z*z**(8/9) assuming z is positive.
z**(-101/45)
Simplify ((l/(l/(((l*l*l/(l**(2/3)*l*l)*l*l)/l)/l)))/l**9)/(l**(-11)*l*l/l**6) assuming l is positive.
l**(19/3)
Simplify (w**(-3/20)/w*w*w**(-7/2))**(-1/4) assuming w is positive.
w**(73/80)
Simplify (u**(1/6)/((u/((u/u**4)/u))/u)*u**6*u**(1/9))**(-2/49) assuming u is positive.
u**(-41/441)
Simplify (i**(6/17)/(i**(-24)/i*i))**(-21) assuming i is positive.
i**(-8694/17)
Simplify (y*y/(y/y**(-1/2)*y))**(-1/37)/((y**(-1/5)*y*y)/y)**(-22/7) assuming y is positive.
y**(6547/2590)
Simplify (c**(1/14)/c*c)**(2/67)/((c**(-11)/c)/c)**10 assuming c is positive.
c**(60971/469)
Simplify (((s**1)**(-50))**(-12/5))**(-11/3) assuming s is positive.
s**(-440)
Simplify ((n/n**22)/n*n)/((((n*n/(n**(-29)*n))/n)/n)/n)*(n**(-16))**(9/8) assuming n is positive.
n**(-66)
Simplify (k**6*k**5)/(k**(2/11))**(-9) assuming k is positive.
k**(139/11)
Simplify (s/(s/(s**(-1/23)/s)))/(s*s**(-3/13)*s)*s**(10/13)/s*s*s**(-11/3)/s assuming s is positive.
s**(-463/69)
Simplify c*c*c**(-9/5)*c**(4/11)*c/(c*c**(-3))*c*c**(-5/4) assuming c is positive.
c**(729/220)
Simplify (((z**(-3/5)*z)/((z**(-3/5)/z*z)/z))/((z/z**9)/z**(-6)))**(37/3) assuming z is positive.
z**(148/3)
Simplify (x*x*x**21*x/x**(-4))/(x**24*x**(-12)*x) assuming x is positive.
x**15
Simplify ((((i/(i**(-2/5)*i))/i)/((i/(i*(i**5*i)/i))/i))/(i**(2/3)/(i/i**(-6))))**(-27) assuming i is positive.
i**(-1584/5)
Simplify (z/(z**(-3)/z)*z*z)**25/(z*z**(-12)/z*z/z**(5/3)) assuming z is positive.
z**(563/3)
Simplify (c**(3/5)/c*c)**(6/23)/(c*c**(-3/2)*c**5) assuming c is positive.
c**(-999/230)
Simplify u**(-13/4)/(u*u**16/u)*u*u**9*(u**(-11)*u)/u assuming u is positive.
u**(-81/4)
Simplify ((i**8)**18)**(3/8) assuming i is positive.
i**54
Simplify ((m*m*m/m**(-19))/(m/(m*m**(7/4))))/((m*m/(((m/(m/m**(8/7)))/m)/m)*m)/(m**28*m)) assuming m is positive.
m**(1369/28)
Simplify (m/m**(-11/4)*m**(-17))**(-28) assuming m is positive.
m**371
Simplify (n/n**8)**43/(n**(1/6)*n**10) assuming n is positive.
n**(-1867/6)
Simplify ((d*d/(d**36*d)*d)/d**(-5/2))**(2/39) assuming d is positive.
d**(-21/13)
Simplify (s*(((s**1*s)/s)/s)/s*s)**23/(s**(-1/8)*s**(-14)) assuming s is positive.
s**(297/8)
Simplify a**(-2/5)*a*a/((a**14*a)/a)*(a/(a*a**(1/7)))**(-24/7) assuming a is positive.
a**(-2918/245)
Simplify (((h**7/h*h)/h)**32)**(-2/51) assuming h is positive.
h**(-128/17)
Simplify (v*v**0*v)/(v*v*v**(-1/4))*(v*v*v*v/(v/(v*v*v*v/(v*v*v**(-3)*v)*v)*v))/(v**(-3)/v) assuming v is positive.
v**(45/4)
Simplify (((n**(-2/3)*n)**(-1/7))**(5/13))**18 assuming n is positive.
n**(-30/91)
Simplify (r**(1/6))**(8/5)*(r**2/r)/r**(-2/11) assuming r is positive.
r**(239/165)
Simplify (y**3*(y/((y**1*y)/y)*y)/y*(y/(y**(5/8)*y))/y**(-5))**49 assuming y is positive.
y**(2891/8)
Simplify (h**(-1/5)/h*h**(-9))/(((h**(8/9)/h)/h)/h**(-1/4)) assuming h is positive.
h**(-1681/180)
Simplify t**(-20/7)/(t**(-3)*t)*(t*t/(t/(((t/(t/(t**11*t*t*t*t))*t)/t)/t)))**(-23) assuming t is positive.
t**(-2421/7)
Simplify (d**(3/5))**(1/27)*((d/(d*d*d**12))/d)/d**(-13) assuming d is positive.
d**(-44/45)
Simplify ((a*a*a**(2/7))**(-2/61)/(a**(2/5)*a/((a**1*a)/a)))**(-14) assuming a is positive.
a**(2028/305)
Simplify (m**(-4/7)/m)/m**(-11/6)*(((((m/m**(4/7))/m*m*m)/m)/m)/m)/(m/m**(2/77)*m) assuming m is positive.
m**(-1517/462)
Simplify (o*o**(-11))**14/(o/o**(11/5)*o*o**(7/4)/o) assuming o is positive.
o**(-2811/20)
Simplify (((j/j**1)/j*j)/j)/(j*j**(-4))*j**35/j**32 assuming j is positive.
j**5
Simplify (j**14/j*j/j**(-7/4)*j)/(j*j/(j*j/(((j*j**(-4/5)/j)/j)/j*j)))**(-2/83) assuming j is positive.
j**(27733/1660)
Simplify ((s**(-3/16)*s**(-9)*s)**(-12/5))**(28/9) assuming s is positive.
s**(917/15)
Simplify (h**7*h*h)/(h*h*h/h**(1/16)*h*h)*(h/(h**(2/7)*h))**(-2/35) assuming h is positive.
h**(15989/3920)
Simplify (z**17/(z**(1/3)/z))/(z*z**(-4))**(-28) assuming z is positive.
z**(-199/3)
Simplify c/(c*c**11)*c**(-1)*(c/(c*c**(-9/5)))**33 assuming c is positive.
c**(237/5)
Simplify ((m*((m/m**1)/m)/m)**39*m**0/m**(1/9))**(4/21) assuming m is positive.
m**(-1408/189)
Simplify (r/r**(-2/77)*r*r**(-7))**(-28) assuming r is positive.
r**(1532/11)
Simplify (j**(4/13)*j)**(-1/3)/((j*j**(-1/10))/(j*j
|
{
"pile_set_name": "DM Mathematics"
}
|
, 3062, 4634, 6264, 7970, 9770, 11682?
3*d**3 + 2*d**2 + 1505*d + 20
What is the k'th term of -9673756, -9673758, -9673760, -9673762?
-2*k - 9673754
What is the u'th term of 169, 657, 1465, 2593?
160*u**2 + 8*u + 1
What is the m'th term of 3583, 7169, 10755, 14341, 17927?
3586*m - 3
What is the x'th term of -9713, -19395, -29065, -38717, -48345, -57943?
x**3 - 9689*x - 25
What is the f'th term of -71013, -142023, -213033?
-71010*f - 3
What is the b'th term of -40, -196, -492, -958, -1624, -2520, -3676, -5122?
-5*b**3 - 40*b**2 - b + 6
What is the x'th term of 19835, 39493, 59151, 78809, 98467, 118125?
19658*x + 177
What is the p'th term of 1945, 1700, 1301, 754, 65?
p**3 - 83*p**2 - 3*p + 2030
What is the w'th term of -69155, -138302, -207435, -276548, -345635, -414690, -483707, -552680?
w**3 + w**2 - 69157*w
What is the s'th term of -299, -402, -505, -608, -711, -814?
-103*s - 196
What is the v'th term of 123, 485, 1077, 1887, 2903, 4113, 5505?
-2*v**3 + 127*v**2 - 5*v + 3
What is the v'th term of 37610, 75219, 112828, 150437, 188046?
37609*v + 1
What is the a'th term of 712, 2589, 5646, 9889, 15324?
a**3 + 584*a**2 + 118*a + 9
What is the w'th term of 2696, 2690, 2684?
-6*w + 2702
What is the p'th term of 247, 233, 209, 169, 107, 17, -107, -271?
-p**3 + p**2 - 10*p + 257
What is the b'th term of 605, 704, 843, 1016, 1217, 1440, 1679, 1928?
-b**3 + 26*b**2 + 28*b + 552
What is the k'th term of -1102, -2163, -3224, -4285, -5346, -6407?
-1061*k - 41
What is the k'th term of 15157, 30292, 45425, 60556?
-k**2 + 15138*k + 20
What is the s'th term of 757, 729, 665, 553, 381, 137, -191, -615?
-2*s**3 - 6*s**2 + 4*s + 761
What is the h'th term of 39102, 78199, 117296, 156393?
39097*h + 5
What is the x'th term of -13566, -13609, -13680, -13779, -13906, -14061?
-14*x**2 - x - 13551
What is the m'th term of -2831, -11337, -25509, -45347?
-2833*m**2 - 7*m + 9
What is the s'th term of 19, 238, 903, 2260, 4555?
41*s**3 - 23*s**2 + s
What is the u'th term of -5337, -10652, -15967, -21282, -26597?
-5315*u - 22
What is the g'th term of 87096, 87093, 87090, 87087?
-3*g + 87099
What is the i'th term of -52648, -105286, -157910, -210514, -263092, -315638, -368146, -420610?
i**3 + i**2 - 52648*i - 2
What is the t'th term of 219, 775, 1687, 2955, 4579, 6559?
178*t**2 + 22*t + 19
What is the i'th term of 2817, 2780, 2719, 2634, 2525?
-12*i**2 - i + 2830
What is the q'th term of 14381992, 14381991, 14381990, 14381989, 14381988?
-q + 14381993
What is the v'th term of -240, -493, -742, -987, -1228, -1465?
2*v**2 - 259*v + 17
What is the m'th term of 16046, 32094, 48144, 64196, 80250?
m**2 + 16045*m
What is the v'th term of 244, 502, 916, 1480, 2188?
-v**3 + 84*v**2 + 13*v + 148
What is the s'th term of 4282, 8552, 12822?
4270*s + 12
What is the n'th term of -33363, -33358, -33353, -33348?
5*n - 33368
What is the g'th term of -4352, -4355, -4362, -4373?
-2*g**2 + 3*g - 4353
What is the s'th term of -50129, -50140, -50159, -50186, -50221, -50264, -50315?
-4*s**2 + s - 50126
What is the x'th term of 1048, 1920, 2792, 3664, 4536, 5408?
872*x + 176
What is the i'th term of 24807, 24819, 24845, 24891, 24963, 25067, 25209, 25395?
i**3 + i**2 + 2*i + 24803
What is the l'th term of -29781, -29785, -29789?
-4*l - 29777
What is the v'th term of 70, 94, 104, 100, 82?
-7*v**2 + 45*v + 32
What is the a'th term of -54315, -108633, -162955, -217281?
-2*a**2 - 54312*a - 1
What is the q'th term of -514399, -1028795, -1543191, -2057587, -2571983?
-514396*q - 3
What is the l'th term of 3053, 6109, 9171, 12239?
3*l**2 + 3047*l + 3
What is the w'th term of -23, -68, -159, -314, -551, -888, -1343, -1934?
-3*w**3 - 5*w**2 - 9*w - 6
What is the y'th term of -261639, -523274, -784909, -1046544, -1308179, -1569814?
-261635*y - 4
What is the f'th term of 4746, 38013, 128314, 304167, 594090, 1026601, 1630218?
4753*f**3 - f**2 - f - 5
What is the o'th term of 1809, 3546, 5241, 6888, 8481, 10014, 11481?
-o**3 - 15*o**2 + 1789*o + 36
What is the z'th term of 146, 299, 454, 611?
z**2 + 150*z - 5
What is the d'th term of -1100, -2202, -3304, -4406, -5508, -6610?
-1102*d + 2
What is the q'th term of -351, -1288, -2799, -4884, -7543, -10776?
-287*q**2 - 76*q + 12
What is the o'th term of 8061, 16037, 23927, 31731, 39449?
-43*o**2 + 8105*o -
|
{
"pile_set_name": "DM Mathematics"
}
|
38566597 a composite number?
False
Is 527455 composite?
True
Is 16882277 a composite number?
False
Is 15759679 a prime number?
False
Is 186549797 prime?
False
Is 25719703 a composite number?
False
Is 90949533 prime?
False
Is 6379453 a prime number?
True
Is 121748671 composite?
True
Is 14689399 a prime number?
False
Is 15551693 composite?
True
Is 23119909 a prime number?
False
Is 103345309 a composite number?
False
Is 1676006 prime?
False
Is 27544955 a prime number?
False
Is 2273171 a composite number?
False
Is 2005277 a composite number?
False
Is 3280867 composite?
False
Is 4461539 a composite number?
False
Is 15431171 a prime number?
False
Is 17870419 prime?
False
Is 5380042 a prime number?
False
Is 1427851 a composite number?
False
Is 15929959 a composite number?
True
Is 56773579 a composite number?
False
Is 89069263 composite?
False
Is 521081147 a composite number?
True
Is 9640801 a composite number?
True
Is 50121179 a prime number?
False
Is 42741403 prime?
True
Is 14436197 a prime number?
True
Is 21914609 composite?
False
Is 32508001 prime?
False
Is 33506359 composite?
False
Is 12078877 prime?
False
Is 188553 composite?
True
Is 128030107 composite?
False
Is 36355831 composite?
False
Is 125883638 a composite number?
True
Is 4140359 composite?
True
Is 25201081 a prime number?
False
Is 6494819 prime?
False
Is 3873767 a composite number?
False
Is 25948609 prime?
True
Is 4617671 a prime number?
True
Is 376219061 a prime number?
False
Is 66473 composite?
True
Is 7984945 composite?
True
Is 109526786 a composite number?
True
Is 285377 a prime number?
True
Is 5377819 a prime number?
False
Is 920555 prime?
False
Is 428980927 a composite number?
True
Is 77004149 prime?
False
Is 134023865 prime?
False
Is 75020489 a composite number?
False
Is 9089461 composite?
False
Is 10112431 a composite number?
True
Is 228328885 prime?
False
Is 7598159 a composite number?
False
Is 577019 a composite number?
True
Is 176861543 a composite number?
False
Is 5778491 a composite number?
False
Is 13945539 a prime number?
False
Is 4706503 a prime number?
True
Is 1407221873 a prime number?
True
Is 14324339 composite?
False
Is 2516567 composite?
False
Is 4478377 composite?
True
Is 58561627 composite?
True
Is 29874034 composite?
True
Is 3427001 a prime number?
False
Is 3700771 composite?
False
Is 473115073 composite?
True
Is 95083649 a composite number?
False
Is 9310087 a prime number?
True
Is 5194337 prime?
True
Is 39761 a composite number?
False
Is 7544233 a prime number?
True
Is 2758333 a prime number?
False
Is 6618653 composite?
False
Is 19629167 a composite number?
False
Is 351458951 a composite number?
False
Is 7337221 a composite number?
False
Is 9297614 a composite number?
True
Is 118861 a prime number?
True
Is 676881043 a composite number?
True
Is 15006071 composite?
False
Is 20000665 a composite number?
True
Is 6598589 composite?
False
Is 3795071 a prime number?
False
Is 692239 a prime number?
True
Is 243131359 prime?
True
Is 4140259 a prime number?
True
Is 3828941 composite?
False
Is 307438435 composite?
True
Is 2005823 prime?
False
Is 20350753 prime?
True
Is 3006337 prime?
False
Is 233783479 a composite number?
False
Is 63193379 composite?
False
Is 42305773 a prime number?
False
Is 12446603 composite?
True
Is 4402391 composite?
True
Is 40191623 composite?
True
Is 2325559 a composite number?
False
Is 1033986473 a prime number?
False
Is 82231711 a composite number?
False
Is 429449 prime?
True
Is 28566907 a composite number?
False
Is 15581 a composite number?
False
Is 472655 a composite number?
True
Is 97378313 composite?
True
Is 1019927 a composite number?
False
Is 1918461 a composite number?
True
Is 79291951 composite?
False
Is 2638289 a prime number?
False
Is 2872187 prime?
True
Is 622151 a prime number?
True
Is 8579341 a composite number?
False
Is 93352801 a prime number?
True
Is 12466457 composite?
True
Is 3326249 a composite number?
False
Is 593471 a composite number?
True
Is 195784079 composite?
False
Is 5522587 a composite number?
True
Is 2104427 composite?
True
Is 40858163 a prime number?
True
Is 56214553 a composite number?
True
Is 107441 a composite number?
False
Is 47860997 prime?
False
Is 147276533 prime?
True
Is 38409667 prime?
False
Is 581729 a prime number?
True
Is 483645433 a prime number?
True
Is 17350987 a prime number?
False
Is 17660609 a prime number?
True
Is 123292049 prime?
True
Is 1705831 composite?
True
Is 41779973 a prime number?
True
Is 58478519 a composite number?
True
Is 3397967 a composite number?
False
Is 21742111 a composite number?
False
Is 9498889 a prime number?
True
Is 14507587 a prime number?
True
Is 5106689 composite?
True
Is 38472683 a composite number?
True
Is 85669561 composite?
True
Is 644957461 prime?
True
Is 356591 a prime number?
True
Is 961063 prime?
True
Is 7218503 a composite number?
False
Is 1161779 a prime number?
False
Is 4922483 prime?
False
Is 46450391 a prime number?
False
Is 175883291 composite?
False
Is 368340449 a prime number?
True
Is 488336991 prime?
False
Is 8646221 a composite number?
False
Is 4751021 prime?
False
Is 1042309 a composite number?
False
Is 20503453 a composite number?
False
Is 5846831 a composite number?
False
Is 59038141 prime?
False
Is 16016293 prime?
False
Is 211684541 prime?
True
Is 9611933 a composite number?
True
Is 5104303 prime?
True
Is 32166653 a composite number?
True
Is 3030983 a composite number?
True
Is 100983703 composite?
False
Is 202993391 a prime number?
True
Is 226261037 prime?
True
Is 238360531 composite?
True
Is 36038533 prime?
True
Is 4012583 a composite number?
True
Is 1901267 composite?
False
Is 2329919 prime?
False
Is 4625321 prime?
True
Is 2360890849 a composite number?
False
Is 6101531 prime?
True
Is 12273761 prime?
True
Is 19407091 prime?
False
Is 12643126 prime?
False
Is 797741 prime?
False
Is 13396277 a composite number?
False
Is 8251663 prime?
False
Is 1554362255 composite?
True
Is 1538897 a prime number?
False
Is 322679015 a composite number?
True
Is 61359185 prime?
False
Is 50037793 composite?
True
Is 9233191 a prime number?
False
Is 996572821 a prime number?
False
Is 28390093 composite?
True
Is 128813 prime?
True
Is 157393 a composite number?
False
Is 64017539
|
{
"pile_set_name": "DM Mathematics"
}
|
ve 3*g + 5 = -l + 4, f*g - 5 = -5*l for g.
-1
Let v be (3/5)/(4/20). Suppose -v - 2 = -m. Solve 2*q + b = m*b + 2, -5*q + 3*b + 5 = 0 for q.
1
Let z be 64/12*(2 + -5). Let n be (-16)/(-6)*(-24)/z. Solve 0 = 2*c - j - 10, 0 = -3*j + 4*j + n for c.
3
Suppose -2*u = -u - 26. Let w be 4/u - 400/(-104). Solve -5*a = -0*a + b - 17, 25 = w*a - 3*b for a.
4
Let g(w) = w - 4. Let x be g(0). Let d be (-3)/(x/(-2) - 3). Solve 0*m + 31 = 4*m + 3*i, -d*i - 5 = -5*m for m.
4
Let u(x) = -2*x**2. Let v be u(-2). Let q(g) be the first derivative of g**2/2 + 13*g + 2. Let y be q(v). Solve -2*d + 0*z + 2*z = 2, -3*z + 35 = y*d for d.
4
Let f(t) be the second derivative of -t**5/20 + 5*t**4/12 + 7*t**3/6 - t**2 + t. Let o be f(6). Solve 0*d + 2 = 4*b + 2*d, -o = -5*b - 4*d for b.
0
Suppose m - 3*m = 0. Suppose -6*l + 3*l + 6 = m. Let g(y) = 2*y**2 - 9*y + 8. Let k be g(6). Solve 0*c + 4 = -4*d - l*c, -k = 2*d - 5*c for d.
-3
Suppose 0*v + 7*v = 70. Solve 5*i + 22 = -c, -v = 2*i + 5*c - 4*c for i.
-4
Suppose -x + 6 = x. Suppose 3*j + 0*j - 6 = 0. Suppose 4*v - 2*k - 8 = 2*k, j*v - 4 = 5*k. Solve -8 = 5*d - v*p, p - 1 = x*d + 4 for d.
-2
Let s = -29 - -19. Let m be (-3)/2*s/3. Solve -m*k - 12 = 4*w, 5*k = -5*w + k - 15 for w.
-3
Suppose 0 = 2*w - 3*w - 2*t + 4, -2*t - 8 = -2*w. Solve 3*u + 6 = -w*j - 2, 2*j - 5*u = -30 for j.
-5
Let n = -3 + 1. Let h be n/10 + 19/(-5). Let r = h + 8. Solve -f + 3*f + r*o - 16 = 0, 26 = -3*f + 4*o for f.
-2
Let t = 16 - 32. Let y be (t/10)/((-1)/10). Solve -x + i - 5 = 0, 8*i - 4*i = 2*x + y for x.
-2
Let x(s) = s + 5. Let u be x(-3). Suppose 5*p = -0*b - b + 18, 6 = u*p + b. Suppose 4*c = 5*k - 1, -p*c - 5*k + 9 = -0. Solve 5*w = -3 - 7, c = 3*n + w for n.
1
Let j = -57 - -38. Let p = -29 - -73. Let k = j + p. Solve 0 - 10 = 5*d - 3*c, -4*d - k = c for d.
-5
Suppose 15 = 5*v - 55. Let z(g) = -6*g**2 + g + 2. Let f be z(2). Let x = v - f. Solve -3*p + 2 = -4*k - 9, -3*p = 5*k + x for k.
-5
Let a be 78/(-21) - (-6)/(-21). Let q = 0 - a. Solve 15 = -p + 5*y, 5*p - q*y + 17 = -16 for p.
-5
Let o(y) = y**3 - 5*y**2 + 22. Let r be o(0). Solve -4*a = -2*b + r, -b - 4*a - 16 + 3 = 0 for b.
3
Let g = -50 + 70. Solve 3*n - 5*n = -3*i - 20, 4*i - n + g = 0 for i.
-4
Suppose -88 = 4*l - 2*z, 7*l - 2*l = -z - 124. Let g = -17 - l. Suppose 0 = g*n - 4*n - 27. Solve -4*m - n = -4*b + 7, 2*m + 15 = -5*b for b.
-1
Let h(l) = l**3 - 13*l**2 + 13*l - 7. Let z be h(12). Solve d = -2*w + 5, 1 = z*w + 2*d - 14 for w.
5
Let a(g) = g**3 + g + 2. Let c be a(0). Solve 0 = y + 5, -4*y = -c*i - y + 23 for i.
4
Suppose 8*v - 45 + 13 = 0. Solve -4*m - 1 - 3 = 2*h, v*h - 2 = 2*m for h.
0
Let q(i) = -i**2 - 4*i + 2. Let t be q(-4). Let g(a) = a**3 + 10*a**2 - 12*a - 9. Let p be g(-11). Solve u + 3*b + t = -4, 5*u + 13 = p*b for u.
-3
Let r be (-6)/21 - (-2)/7. Suppose r*l = l - 2. Solve -l*x - 3*u = 2*u - 15, 0 = 4*x - 5*u + 15 for x.
0
Suppose -6 = 2*k - 18. Solve -2*v - 5*q = k, q - 6 = 3*v + 3 for v.
-3
Let k = 4 + 7. Solve -w - 3*p + 11 = 0, -w - 2*w = -2*p - k for w.
5
Let c = 0 - -2. Solve 2 = c*v + 7*f - 2*f, 4*f = 3*v - 3 for v.
1
Let r = 10 + 2. Solve -2*s + 13 = s - 5*x, 4*x = 2*s - r for s.
-4
Let r(h) = -h**3 - 12*h**2 - 11*h + 1. Let l = -4 + -7. Let i be r(l). Suppose -m + 4 = -i. Solve 5*v - 25 = -3*q, m*q = -0*v + 2*v - 10 for v.
5
Let v = -10 - -14. Solve 2*m + 0*m = -v*c - 22, 4*c - 4*m - 8 = 0 for c.
-3
Let c be (-2 - 8/(-2))*2. Suppose -c*w - 2*q + 6 = 0, -3*q + 3 = w + 2*w. Solve 6*t = -2*l + w*t - 6, 0 = -5*l - 2*t - 7 for l.
-1
Let p(f) = f**2 + 3*f + 2. Let i be p(3). Let m be (0 - 4/(-6))*-18. Let d = m - -16. Solve -s = 0, s = -d*a - 0*a - i for a.
-5
Let m = 0 + -16. Let v = -22 - m. Let d = -4 - v. Solve 3 = -3*q, i - d*i - 4*q = 0 for i.
4
Let y(x) = x**2 - 10*x + 13. Let n(d) = -d**3 + 1. Let s be n(-2). Let r be y(s). Let o
|
{
"pile_set_name": "DM Mathematics"
}
|
divide 60079851?
True
Is 38983206 a multiple of 15?
False
Is 57340096 a multiple of 32?
True
Is 165 a factor of 40248463?
False
Is 84520922 a multiple of 13?
False
Is 3475 a factor of 230905311?
False
Is 601 a factor of 326243835?
True
Does 868 divide 2586289575?
False
Is 65248038 a multiple of 9?
True
Does 2552 divide 74947136?
True
Does 768 divide 2254174548?
False
Does 1124 divide 541113756?
False
Is 135 a factor of 1249553790?
True
Does 10 divide 64063343?
False
Is 248054972 a multiple of 142?
True
Is 2966342975 a multiple of 632?
False
Is 21 a factor of 2973572679?
True
Does 64 divide 93341888?
True
Is 18578424 a multiple of 372?
True
Is 8 a factor of 1662987?
False
Is 15 a factor of 1840163955?
True
Is 25 a factor of 91116075?
True
Is 21165262 a multiple of 548?
False
Does 145 divide 462395862?
False
Is 56746184 a multiple of 589?
False
Is 720 a factor of 30838012?
False
Is 519 a factor of 41601483?
True
Is 387904674 a multiple of 477?
False
Does 3612 divide 149074736?
False
Is 141 a factor of 1392998925?
True
Is 17 a factor of 42473611?
False
Is 607347116 a multiple of 1764?
False
Is 65069721 a multiple of 490?
False
Is 25148441 a multiple of 4?
False
Is 11 a factor of 2739097767?
False
Does 506 divide 90279508?
True
Does 158 divide 588068?
False
Does 953 divide 227085605?
True
Does 74 divide 768311649?
False
Is 207 a factor of 1269316962?
True
Does 12 divide 278712834?
False
Is 6 a factor of 415191833?
False
Is 50 a factor of 41178000?
True
Does 300 divide 1131836100?
True
Is 106661088 a multiple of 3030?
False
Is 437 a factor of 71125246?
True
Is 2134 a factor of 76395122?
False
Is 11401578 a multiple of 219?
True
Is 3975250 a multiple of 250?
True
Does 173 divide 56890877?
True
Does 4 divide 6055201?
False
Is 3011752368 a multiple of 892?
True
Does 1917 divide 9537744?
False
Is 1048462 a multiple of 131?
False
Is 518 a factor of 35055650?
True
Is 453 a factor of 2567448972?
False
Is 138718201 a multiple of 15?
False
Does 554 divide 430672143?
False
Is 3277300643 a multiple of 29?
True
Does 631 divide 238592458?
True
Does 16 divide 4397979?
False
Is 14 a factor of 68651170?
True
Is 143623904 a multiple of 113?
True
Is 636 a factor of 701544252?
True
Does 109 divide 443692893?
True
Does 74 divide 5043840?
True
Is 497 a factor of 115593361?
False
Does 576 divide 225359424?
True
Is 114 a factor of 95753730?
True
Is 36333041 a multiple of 996?
False
Is 1929320178 a multiple of 354?
True
Is 3 a factor of 5364761?
False
Is 5102336 a multiple of 79?
False
Is 341 a factor of 8406673?
True
Is 423 a factor of 49928160?
False
Is 1433 a factor of 534066255?
False
Is 33 a factor of 190692455?
False
Does 40 divide 4169080?
True
Is 2 a factor of 25709088?
True
Is 18 a factor of 1073513646?
True
Is 6331 a factor of 392578979?
True
Is 1430 a factor of 338864329?
False
Is 61462716 a multiple of 3291?
True
Is 28408275 a multiple of 255?
True
Does 11 divide 5561126027?
False
Is 2203 a factor of 145160076?
True
Is 12 a factor of 73985374?
False
Is 871 a factor of 365354649?
False
Does 4183 divide 72120919?
False
Is 346 a factor of 61768958?
True
Is 953 a factor of 450812838?
True
Is 339 a factor of 29901495?
True
Is 8 a factor of 174847358?
False
Is 99059272 a multiple of 221?
True
Is 80 a factor of 1071474480?
True
Is 24595526 a multiple of 7312?
False
Does 5 divide 54624703?
False
Is 27 a factor of 157045645?
False
Is 610720648 a multiple of 323?
True
Does 25 divide 24080725?
True
Is 1473790955 a multiple of 4305?
False
Is 24941004 a multiple of 1158?
True
Is 321 a factor of 90265842?
True
Does 28 divide 108988684?
True
Does 291 divide 51989016?
False
Is 540 a factor of 81605052?
False
Is 629247645 a multiple of 58?
False
Is 13661914 a multiple of 93?
False
Does 22 divide 15396537?
False
Does 46 divide 30764926?
False
Is 13919844 a multiple of 214?
True
Is 40536561 a multiple of 13?
True
Does 867 divide 960841857?
False
Is 4 a factor of 74719454?
False
Does 5 divide 74414750?
True
Is 88063759 a multiple of 225?
False
Is 139696410 a multiple of 2701?
False
Is 24 a factor of 1266636744?
True
Is 351911629 a multiple of 1540?
False
Is 10 a factor of 1276988170?
True
Does 1320 divide 53867880?
True
Is 5 a factor of 1106664?
False
Is 62 a factor of 120124690?
True
Is 140923860 a multiple of 3540?
True
Does 9 divide 3064921?
False
Is 542 a factor of 16494144?
True
Does 6 divide 10019097?
False
Is 31260096 a multiple of 16?
True
Is 32813133 a multiple of 100?
False
Is 1447550 a multiple of 425?
True
Is 926 a factor of 1206419654?
True
Does 44 divide 182173992?
True
Does 8 divide 149290020?
False
Is 2 a factor of 3850901?
False
Is 3103 a factor of 1517987600?
True
Is 7228 a factor of 2591904779?
False
Does 71 divide 636123137?
False
Does 111 divide 16249179?
True
Is 21 a factor of 70736635?
False
Is 228 a factor of 168394885?
False
Is 62 a factor of 31021275?
False
Does 279 divide 279512244?
True
Is 5327834 a multiple of 451?
False
Is 32 a factor of 118961985?
False
Does 676 divide 258720947?
False
Is 5059 a factor of 638088135?
False
Is 228 a factor of 8707267?
False
Is 28684999 a multiple of 5?
False
Does 340 divide 29509757?
False
Is 2316477407 a multiple of 763?
False
Does 2418 divide 1108907521?
False
Is 13830544 a multiple of 1196?
True
Is 704371779 a multiple of 944?
False
Does 302 divide 1044711235?
False
Does 21 divide 1574223?
True
Is 193919529 a multiple of 127?
False
Does 2046 divide 161107770?
False
Is 93 a factor of 2386566?
True
Does 2 divide 10164875?
False
Does 327 divide 59279541?
True
Is 15 a factor of 104473605?
True
Is 58 a factor of 101830228?
False
Is 127469062 a multiple of 39?
False
Does 452 divide 35513257?
False
Is 3236520 a multiple of 659?
False
Is 827449477 a multiple of 277?
False
Is 277911234 a multiple of 1483?
True
Is 10 a factor of 150219119?
|
{
"pile_set_name": "DM Mathematics"
}
|
0. Let y(u) = -u**2 + 8*u - 4. Calculate y(j).
8
Let k(p) = 2*p**3 - 12*p**2 - 3*p + 1. Let m = 100 + -230. Let s = -133 - m. Let g(l) = l**3 - 11*l**2 - 2*l + 1. Let w(y) = s*g(y) + 2*k(y). Determine w(-9).
-1
Let s(w) = 1840*w + 3 - 650*w - 1 - 602*w - 632*w. Determine s(2).
-86
Let t(s) = -5*s - 2. Suppose q - 42 = -5*l, 4*l + 14 - 44 = q. Give t(l).
-42
Let z = -194307 - -194318. Let s(d) be the second derivative of -d**3/6 - 2*d**2 - d. Give s(z).
-15
Let q(l) = -46*l - 199596 + 0*l + 199810 + l**3 - 40*l**2. Determine q(41).
9
Let y(d) = -3*d + 14. Let h(j) = j**2 + 13*j + 28. Let t be h(-7). Let r be y(t). Suppose -2*p - 12*p + r = 0. Let l(x) = -4*x - 3. Calculate l(p).
-19
Let i(j) = -j**3 - 7*j**2 - 7*j - 11. Suppose 8 = -5*s + 113. Let x(g) = -g**3 + 22*g**2 - 13*g - 174. Let a be x(s). What is i(a)?
-5
Let w = -578 - -590. Let x(u) = -3 + 3 - 8*u + 21*u + 9 - w*u. What is x(-16)?
-7
Let b(v) be the first derivative of 5*v**4/2 - v**3 + v**2 + v + 700. Determine b(2).
73
Let z(k) be the first derivative of -k**3/3 + 8*k**2 + 24*k + 865. Give z(17).
7
Let s(t) be the third derivative of -t**6/80 - t**5/30 - 49*t**4/6 + 4*t**2 + 3*t. Let b(j) be the second derivative of s(j). What is b(3)?
-31
Let f(k) be the first derivative of -k**2/2 - 2*k - 87. Suppose -2*d - 4 = -18. Let l = 0 - d. Determine f(l).
5
Let y(k) = 0 - 1228*k + 2502*k - 1262*k + 3. Suppose -2 = u - 2*o, -2*u = 4*o - 2 - 18. Calculate y(u).
51
Let n(q) = -333*q + 668*q - 12 + q**2 + 3 - 339*q. Let d be 9/((-810)/420 + 6/14). What is n(d)?
51
Let q be 70/(-56)*(-8)/5. Let o(p) = -75 + 4*p**q - 5*p**2 - 70 + 146. Determine o(-2).
-3
Let p(f) = -f + 0*f + 1 + 0*f - f. Suppose -2*a = a - 6, 0 = -5*d + a - 22. What is p(d)?
9
Let o(n) be the first derivative of -5*n**2/2 - 39*n - 74. What is o(-9)?
6
Let g(x) be the third derivative of -x**5/60 + 3*x**4/4 - x**3/6 + 1494*x**2. Determine g(12).
71
Let s(r) = 33*r - 12. Let i(v) = 9*v**3 - 37*v**2 - 18*v + 90. Let g be i(4). What is s(g)?
54
Let w(t) = t**2 - 10*t - 14. Suppose 3*g - 21 = -0*g. Let h(n) = -n**2 + 11*n + 15. Let u(r) = g*w(r) + 6*h(r). Suppose 56*j - 24*j = 224. Calculate u(j).
13
Let q(v) = v**2 + 7*v - 25. Let g be (12/10)/(210/(-1400)). What is q(g)?
-17
Let f(o) = 120*o + 105. Let r(w) = 9*w + 8. Let t(b) = -2*f(b) + 27*r(b). Calculate t(8).
30
Suppose -13 = -m - 2*f, 5*m - 5*f = 11 - 6. Let c(j) = -14*j**2 + 10*j - 9. Let o(z) = -5*z**2 + 3*z - 3. Let g(d) = 4*c(d) - 11*o(d). Give g(m).
7
Let w(z) = z**2 - 15*z - 19. Let l = -2248 - -2263. Calculate w(l).
-19
Let p(w) = w**2 - 5*w + 1. Let k be (-2 - 19)*1/1. Let z(o) = -2*o**3 - 42*o**2 + 3*o + 69. Let c be z(k). Calculate p(c).
7
Let r(x) = -63*x - 2. Let y(d) = -172*d - 7. Let l(w) = -11*r(w) + 4*y(w). Let i(k) = -6*k + 1. Let f be i(1). Determine l(f).
-31
Let z(w) = -2*w**2 + 31*w + 16. Let t(p) = 3*p**2 - 47*p - 28. Let y(u) = 5*t(u) + 7*z(u). Determine y(19).
-9
Suppose -58*v + 3*j = -63*v + 109, 5*v - 4*j = 158. Let y(w) = 2*w - 71. Calculate y(v).
-19
Let u be 1/(-2 - (-25)/10). Suppose -u*s = 8, 5*q - 3*s - 8 = 3*q. Let w(n) = 5 + 1 - 24*n - 3 + 27*n + 2*n**2. Give w(q).
5
Let f = 84 - 106. Let s(x) = -x - 20. Let g be s(f). Let y(t) = t**3 - 3*t**2 + t. Calculate y(g).
-2
Let b(s) = -6*s + 17. Suppose 4*o - 322 = 3*z - 312, o = -2*z - 14. What is b(o)?
29
Let t(x) = x**3 + 8*x**2 + 7*x - 8. Let d be 6/9*-1 + (-592)/3. Let p = d + 99. Let l = p + 92. What is t(l)?
-8
Let f(n) = -10*n + 27. Let s(m) be the first derivative of -6*m**2 + 26*m + 248. Let a(i) = -7*f(i) + 6*s(i). What is a(-15)?
-3
Let s(m) be the first derivative of m**4/2 - m - 4410. Let b(d) = -3*d**3 - 2*d**2 + 1. Let t be b(-1). What is s(t)?
15
Let v = 110 + -48. Let p = v + -80. Let j(f) = f + 19. Let q be j(p). Let h(g) = -6*g - 1. What is h(q)?
-7
Let z(m) = 9*m**2 + 164*m - 165. Let g be z(1). Let y(a) = -a**3 + 8*a**2 + a - 14. Calculate y(g).
-6
Suppose k = -4*k + 15. Let j(n) = -59*n + 2. Let i(b) = -104*b + 5. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ing order.
1, 3, v, 5
Let i = 0.2 - 0.1. Suppose 0 = -4*m + 2*g - 29 - 67, g + 90 = -4*m. Let s = 47/2 + m. Put s, 1, i in descending order.
1, s, i
Let x = -0.41 + 2.43. Let a = -0.12 + 0.1. Let m = a + x. Sort -0.1, m, -4.
-4, -0.1, m
Let f = -95 - -94.5. Put -5, -4, f in ascending order.
-5, -4, f
Let q(b) = -b**3 + 8*b**2 + 9*b + 1. Suppose -4*a = -16, -5*l - 3*a + 47 + 10 = 0. Let z be q(l). Sort z, -0.2, 0.5.
-0.2, 0.5, z
Let h(p) = -4*p**3 - 3*p**2. Let m be h(-2). Suppose 0 = b + m - 2. Let l = b - -13. Put 0.3, l, -0.4 in increasing order.
l, -0.4, 0.3
Let k = -31 + 401/13. Sort k, 21, -1/4, -3.
-3, -1/4, k, 21
Suppose 0*f = 2*l + 4*f - 20, f = 3*l + 5. Sort 5, l, 2, -5 in decreasing order.
5, 2, l, -5
Suppose 0 = -4*s - 5*n - 9, -2*s + 0*s = 3*n + 7. Let p = 4.5 + -4.6. Put p, 5, s in descending order.
5, s, p
Let u = 0.051 - -0.049. Sort u, 2/13, -1.
-1, u, 2/13
Suppose 5 = -4*i + 3*x + 2, 0 = -5*i - x - 18. Put 5/4, 0.1, i in descending order.
5/4, 0.1, i
Let d be (-48)/(-22) - 12/66. Suppose -d*f = -0*f + 2. Put 3, f, -5 in descending order.
3, f, -5
Suppose 2*d = j + 10, 0*d - 8 = -4*d + 5*j. Let m = -12 + d. Let w = 19 - 18.6. Put m, -1, w in descending order.
w, -1, m
Let h(f) = -f + 14. Let g be h(-5). Put 0, 2, g in descending order.
g, 2, 0
Let i = 4.1 - 3.1. Let c be ((-2)/(-16))/((-1)/(-2)). Sort i, 3, c in decreasing order.
3, i, c
Let w be -6*4/(-72) + (-2)/(-12). Let v be 5/3*6/15. Sort v, w, -1/5 in ascending order.
-1/5, w, v
Let i(m) = -m + 11. Suppose -4*k + 29 = -s, 0*s = k - s - 11. Let g be i(k). Let p(v) = v**2 + 7*v + 2. Let y be p(-6). Put 1, g, y in ascending order.
y, 1, g
Let o = 80.4 - 80. Put o, -0.2, 1, 3 in descending order.
3, 1, o, -0.2
Let y = 0.15 + 0.55. Sort y, -0.2, 2.
-0.2, y, 2
Let i = 16 + -16. Sort i, 5, -4 in descending order.
5, i, -4
Let h be (6/9)/(22/6). Let k = 1032 - 2165/2. Let r = 49 + k. Put r, h, 0.5 in decreasing order.
0.5, h, r
Let r = -2 + 2. Let q be 0 - (4 + 4/(-2)). Let n(k) = 3*k + 2. Let z be n(q). Sort z, r, -1 in decreasing order.
r, -1, z
Suppose 3*g - 9 = -t + 8, -31 = -4*g - 3*t. Sort 5, 7, g in descending order.
7, 5, g
Let g be 2/5 + (-288)/20. Let a = 41 + g. Let y be a/(-5) + (-4)/(-10). Sort 0, y, -3 in descending order.
0, -3, y
Let r = -5.6 - -1.5. Let w = -2 + 2.1. Let l = w + r. Put -1/4, l, -0.1 in descending order.
-0.1, -1/4, l
Let a be (4/6)/((-6)/(-9)). Let s = -14 - -16. Sort a, 3, s in decreasing order.
3, s, a
Let c = 7 - 3. Let f be (-1 - -1) + (-2 - -2). Suppose f = -4*h + 7 + 5. Put h, -2, c in descending order.
c, h, -2
Suppose 0 = h - 0 + 3. Let b(f) = f**2 + 2*f + 1. Let w be b(-2). Suppose -5*x = -4*c - 20, c + 2*c + 15 = 4*x. Sort w, h, c.
c, h, w
Let i = -22 + 17. Let u = 0 - i. Sort 4, u, 3.
3, 4, u
Let i = -6 + 10. Suppose -2*h - 2 + 14 = 0. Suppose -4*c - 2*g = g + 9, -h = c - 3*g. Put c, i, -1/11 in descending order.
i, -1/11, c
Let t be -1*(3/(-15) - 0). Let f = -0.15 + 0.25. Sort 1/4, f, t in decreasing order.
1/4, t, f
Let p = 70 + -10. Suppose -p = -0*x - 4*x. Suppose 5*h + x = -0*h. Put 4, h, -1 in decreasing order.
4, -1, h
Let k = 135/2 + -68. Sort 1/5, -9, k, 3/2 in ascending order.
-9, k, 1/5, 3/2
Let u be (2 - 3) + (1 - 0). Let v = -8 - -3. Sort -4, v, u in increasing order.
v, -4, u
Let o = -0.03 + -0.37. Let v be 1371/(-8) + 1 + -1. Let b = v + 171. Put b, o, 0.2 in ascending order.
o, b, 0.2
Suppose 0 = u + 5*c + 19, -u = -2*c - 11 + 2. Sort 0, u, -1 in descending order.
u, 0, -1
Let g = 19 - 22. Let u be (-1)/4 - (-3)/12. Suppose 5*a + u*x - 2*x = -9, -3*a + 5*x = 13. Put g, a, 0.5 in increasing order.
g, a, 0.5
Suppose 3*r = -2*r - 30. Let n(j) = -j**2 - 6*j - 3. Let m be n(r). Let u be 11/9 - (-16)/(-72). Sort 4, m, u.
m, u, 4
Suppose -b - b - 10 = 5*j, -b - 2*j = 5. Let z = -21.4 + 21. Sort b, 5, z in decreasing order.
5, z, b
Let p(l) = -4*l**3 + 2*l**2 - l. Let a be p(1). Suppose 0 = -4*k + 3*k. Sort a, k, -4 in decreasing order.
k, a, -4
Let s be (-9)/(-6)*116/6. Let q = s - 13. Sort q, -1, -3 in descending order.
q, -1, -3
Let r = 10 - 10. Sort 2, -4, r in ascending order.
-4, r, 2
Let x be (2/4)/(1*(-1)/(-8)). Sort 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
w(o) = 2*o**2 + 79*o - 912. Calculate w(-49).
19
Let n(r) = -r**3 + 3*r**2 - 5*r + 45. Calculate n(5).
-30
Let n(p) = 150*p - 21161. Give n(141).
-11
Let r(g) = g**2 + 343*g + 1697. Calculate r(-5).
7
Let t(g) = 258*g + 17579. Calculate t(-68).
35
Let t(x) = 2*x**2 + 32*x + 105. Determine t(-6).
-15
Let a(x) = -3*x**3 - 42*x**2 + 356*x - 36. Calculate a(-20).
44
Let b(a) = -10*a**2 - 765*a + 372. Give b(-77).
-13
Let w(l) = l**2 - 57*l + 30. Give w(46).
-476
Let k(u) = -20*u - 56. Calculate k(-3).
4
Let o(j) = -3*j**3 - 9*j**2 + 9*j - 36. Determine o(-6).
234
Let r(o) = 3*o - 198. What is r(17)?
-147
Let g(n) = 97*n + 4032. What is g(-40)?
152
Let k(j) = -j**2 - 40*j + 302. Determine k(8).
-82
Let y(s) = 6*s**2 - 130*s + 44. Calculate y(21).
-40
Let d(b) = -b**2 + 17*b - 72. Determine d(11).
-6
Let r(f) = -f**2 - 66*f - 642. What is r(-12)?
6
Let a(k) = -26*k**2 + 383*k - 10. Give a(15).
-115
Let m(t) = -t**3 + 10*t**2 + 75*t - 16. Determine m(15).
-16
Let f(s) = -16*s**2 - 160*s + 5. Determine f(-9).
149
Let j(c) = 13*c**3 - 69*c**2 + 87*c - 18. What is j(1)?
13
Let n(g) = -58*g**2 + 524*g - 26. Give n(9).
-8
Let x(i) = 2*i**2 - 229*i + 772. Determine x(111).
-5
Let c(f) = -2*f**3 + 27*f**2 - 31*f - 58. Calculate c(12).
2
Let z(x) = -1703*x + 1685. What is z(1)?
-18
Let x(o) = -98*o - 335. Calculate x(-4).
57
Let h(j) = 2*j**3 + 190*j**2 + 301*j - 6603. What is h(-93)?
0
Let z(d) = -2*d**2 - 18*d + 106. What is z(-13)?
2
Let o(c) = -2*c**3 + 12*c**2 - 14*c - 1. Give o(2).
3
Let z(n) = -19*n - 255. What is z(-17)?
68
Let o(w) = 9*w**2 - 54*w + 5. Determine o(7).
68
Let f(u) = 128*u + 1933. What is f(-15)?
13
Let m(c) = -123*c**2 + 5*c + 4. What is m(2)?
-478
Let a(l) = -l**2 - 1497*l + 13539. Determine a(9).
-15
Let t(o) = 23*o - 68. What is t(6)?
70
Let b(v) = -v**3 - 11*v**2 + 16*v + 95. What is b(-11)?
-81
Let c(t) = 197*t + 8268. What is c(-42)?
-6
Let a(i) = 9*i**2 - 313*i - 127. Calculate a(35).
-57
Let u(i) = i**3 + 18*i**2 + 30*i - 4. What is u(-16)?
28
Let v(q) = -2*q**3 + 6*q**2 + 2*q + 7. Calculate v(4).
-17
Let q(t) = 1100*t - 22014. What is q(20)?
-14
Let f(g) = -10*g + 60. Give f(18).
-120
Let l(j) = 11*j**2 - 516*j - 56. Determine l(47).
-9
Let i(n) = n**3 - 3*n**2 - 9*n + 2. What is i(5)?
7
Let a(i) = 1315*i + 6. Calculate a(0).
6
Let w(g) = -1483*g + 14823. What is w(10)?
-7
Let m(n) = n + 109. What is m(22)?
131
Let g(q) = 25*q - 1444. What is g(58)?
6
Let l(h) = h**3 + 10*h**2 - 23*h - 86. Determine l(-12).
-98
Let i(j) = j**3 - 4*j**2 - 176*j - 13. Give i(-11).
108
Let s(d) = -d**3 - 16*d**2 - 76*d - 54. Determine s(-8).
42
Let v(j) = 25*j**2 - 97*j - 7. What is v(4)?
5
Let c(p) = -3*p**2 + 170*p - 584. Give c(53).
-1
Let y(g) = -3*g**2 - 733*g + 3743. What is y(5)?
3
Let x(i) = 43*i + 147. Determine x(-4).
-25
Let i(u) = -161*u + 2426. What is i(15)?
11
Let k(h) = h**2 + 29*h - 20. Give k(9).
322
Let g(p) = 4*p**3 + 8*p**2 + 10*p + 25. Calculate g(-3).
-41
Let i(u) = -3*u - 136. Calculate i(6).
-154
Let i(o) = 132*o - 6152. Determine i(45).
-212
Let k(j) = -65*j + 538. Calculate k(8).
18
Let y(l) = -59*l + 5108. Calculate y(86).
34
Let r(m) = m**3 + 4*m**2 - m - 21. What is r(-4)?
-17
Let s(l) = -11*l**3 - 184*l**2 + 49*l - 10. What is s(-17)?
24
Let s(t) = 2*t**3 + 22*t**2 + 5*t + 17. Determine s(-11).
-38
Let y(u) = 34*u**2 - 985*u + 24. Determine y(29).
53
Let l(n) = 54*n - 212. What is l(4)?
4
Let p(y) = -207*y + 204. Calculate p(1).
-3
Let r(m) = -71*m - 2411. Calculate r(-34).
3
Let p(j) = -j**3 - 7*j**2 - 5*j - 14. Calculate p(-7).
21
Let p(q) = q**2 - 39*q + 140. What is p(34)?
-30
Let j(d) = -d**3 - 42*d**2 + 42*d - 43. Determine j(-43).
0
Let v(j) = -2*j - 566. Calculate v(-57).
-452
Let l(n) = -n**3 - 10*n**2 + 335*n - 20. Calculate l(-24).
4
Let b(x) = -250*x - 317. Give b(-2).
183
Let q(j) = j**3 + 26*j**2 - 2*j - 680. Calculate q(-25).
-5
Let i(d) = d**2 + 60*d + 568. What is i(-
|
{
"pile_set_name": "DM Mathematics"
}
|
, 5399
What are the prime factors of 174065963?
174065963
List the prime factors of 362730888.
2, 3, 13, 61, 6353
List the prime factors of 1360666552.
2, 7, 67, 139, 2609
List the prime factors of 4255853211.
3, 29, 139, 39103
What are the prime factors of 24746019?
3, 29, 461, 617
List the prime factors of 1946961090.
2, 3, 5, 37, 194891
What are the prime factors of 500495764?
2, 313, 399757
What are the prime factors of 10295323?
59, 211, 827
What are the prime factors of 558283278?
2, 3, 7, 23, 31, 103, 181
What are the prime factors of 1354105267?
17, 61, 79, 16529
What are the prime factors of 17501553?
3, 113, 17209
What are the prime factors of 3702809306?
2, 7, 173, 1528823
List the prime factors of 44056810.
2, 5, 7, 629383
List the prime factors of 238437587.
238437587
What are the prime factors of 34472278?
2, 139, 124001
List the prime factors of 2339091938.
2, 19, 61555051
What are the prime factors of 1070159387?
11, 23, 97, 43607
List the prime factors of 60352684.
2, 7, 157, 13729
What are the prime factors of 46756104?
2, 3, 1948171
What are the prime factors of 602293967?
11, 421, 130057
What are the prime factors of 7708112?
2, 89, 5413
List the prime factors of 184644055.
5, 17, 2172283
List the prime factors of 64778654.
2, 31, 347, 3011
What are the prime factors of 145329553?
145329553
List the prime factors of 71373678.
2, 3, 11895613
What are the prime factors of 47996307?
3, 592547
List the prime factors of 118580625.
3, 5, 7027
What are the prime factors of 87802751?
97, 773, 1171
What are the prime factors of 3761841?
3, 1253947
List the prime factors of 2008075731.
3, 669358577
List the prime factors of 516084024.
2, 3, 599, 35899
List the prime factors of 10159061.
11, 923551
What are the prime factors of 120179232?
2, 3, 23, 18143
List the prime factors of 66113578.
2, 17, 19, 53, 1931
What are the prime factors of 401443428?
2, 3, 31, 137, 7877
List the prime factors of 457696490.
2, 5, 383, 119503
List the prime factors of 606340131.
3, 202113377
List the prime factors of 23015161.
13, 17, 223, 467
List the prime factors of 27727673.
23, 317, 3803
What are the prime factors of 2163441929?
11, 43, 4573873
What are the prime factors of 228103567?
228103567
List the prime factors of 35873569.
107, 179, 1873
List the prime factors of 1839460203.
3, 7, 41, 379, 1879
List the prime factors of 3925663277.
3925663277
List the prime factors of 108903406.
2, 2083, 26141
What are the prime factors of 182222818?
2, 91111409
List the prime factors of 1586166264.
2, 3, 277, 79531
List the prime factors of 544070001.
3, 181356667
What are the prime factors of 1173097315?
5, 13, 18047651
List the prime factors of 81218892.
2, 3, 239, 28319
List the prime factors of 290296501.
11, 23, 1147417
List the prime factors of 66755558.
2, 33377779
What are the prime factors of 265992588?
2, 3, 7388683
List the prime factors of 202792414.
2, 11, 9217837
What are the prime factors of 182398604?
2, 37, 43, 28661
What are the prime factors of 28681807?
7, 11, 127, 419
What are the prime factors of 18291162?
2, 3, 71, 42937
What are the prime factors of 346847450?
2, 5, 691, 10039
List the prime factors of 39696642.
2, 3, 317, 773
List the prime factors of 299379088.
2, 18711193
What are the prime factors of 2918728562?
2, 2557, 570733
What are the prime factors of 1245923218?
2, 5393, 115513
What are the prime factors of 1118934584?
2, 31, 145543
What are the prime factors of 752484807?
3, 83609423
List the prime factors of 584532088.
2, 7, 97, 107609
List the prime factors of 37777150.
2, 5, 431, 1753
What are the prime factors of 229882458?
2, 3, 13, 2947211
List the prime factors of 4111185042.
2, 3, 15053, 15173
List the prime factors of 7475700.
2, 3, 5, 24919
What are the prime factors of 53257675?
5, 2130307
What are the prime factors of 187396444?
2, 46849111
List the prime factors of 27843235.
5, 7, 379, 2099
List the prime factors of 755012332.
2, 29, 6508727
List the prime factors of 4335514883.
7, 1283, 482743
List the prime factors of 2038980397.
2927, 696611
What are the prime factors of 54071484?
2, 3, 199, 22643
List the prime factors of 181560600.
2, 3, 5, 13, 7759
What are the prime factors of 32582150?
2, 5, 19, 34297
List the prime factors of 1219216664.
2, 53, 113, 25447
List the prime factors of 263576712.
2, 3, 7, 1568909
What are the prime factors of 1088223751?
1088223751
List the prime factors of 1989717139.
197, 509, 19843
What are the prime factors of 1852452479?
1852452479
What are the prime factors of 387665638?
2, 53, 3657223
List the prime factors of 1449847577.
1449847577
What are the prime factors of 82222197?
3, 27407399
What are the prime factors of 417956535?
3, 5, 439, 21157
List the prime factors of 45312157.
11, 17, 293, 827
List the prime factors of 60886875.
3, 5, 7, 4639
What are the prime factors of 340508193?
3, 6907, 16433
What are the prime factors of 52220119?
7, 7460017
What are the prime factors of 1580078879?
16493, 95803
List the prime factors of 47891138.
2, 23945569
What are the prime factors of 3642265028?
2, 17, 97, 552193
List the prime factors of 2463328445.
5, 492665689
What are the prime factors of 306827606?
2, 37, 1217, 3407
What are the prime factors of 6463131701?
13, 497163977
List the prime factors of 117843903.
3, 1454863
List the prime factors of 2841961441.
11, 379, 681689
List the prime factors of 3882359379.
3, 631, 2050903
What are the prime factors of 108917246?
2, 773, 70451
What are the prime factors of 50424228?
2, 3, 31, 15061
What are the prime factors of 228329390?
2, 5, 22832939
What are the prime factors of 818073625?
5, 6544589
What are the prime factors of 424246328?
2, 11, 438271
List the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
). Solve y*v + 15 = b, 5*v + 3*b + 19 = 4*v for v.
-4
Suppose 0*z - 24 = -3*z. Let q = -7 + z. Solve 2*p - d = 6 + q, -34 = -5*p - 3*d for p.
5
Let p be (14/3)/(26/6 + -4). Solve -h + 4*z + 18 = h, 3*z - p = -4*h for h.
5
Suppose -10 = 6*n - 11*n. Suppose -g + 12 = -5*s, 3*g - 3*s - 16 = -n*g. Solve 9 = 4*c + d, g*c + 0*d + 9 = -5*d for c.
3
Let j be (6/9)/(2/(-27)*-3). Solve -j*b - 11 = -f, 3*f + 0*f = 3*b + 15 for f.
2
Let k be 0*((-2)/6 + 0). Suppose -2*y + 6 = k, 2*o - 9 = -3*y - 0*y. Solve 0 = -3*q, -2 + o = j + 2*q for j.
-2
Suppose 0 = -4*g + o + 17, -3*g + 3*o - 11 + 35 = 0. Solve 3*z + 12 = -2*p - p, -g*z = -2*p + 12 for p.
0
Suppose -3*y = y - 200. Solve -15 = 3*m, 0 = 3*u + 5*m + y - 10 for u.
-5
Let r(u) = -u + 4. Let i be 1/1 + (0 - -3). Let k be r(i). Solve -29 = 4*j - k*x + 3*x, -j = -x + 2 for j.
-5
Let i = -7 - -15. Suppose -r - 1 = -2*k + 3*k, 4*r - 4*k - 28 = 0. Suppose 11 = 2*m + 3*x, 2*m - 5*x - r = -0. Solve q = -m*l - 4, 0*q + i = -4*l - 2*q for l.
0
Suppose d - 2*d + 3 = 0. Let a be 3*(-2)/(-9)*6. Solve 2*x + d*z = -3*x - 20, -20 = a*z for x.
-1
Let d(n) = -21*n + 8*n + 0*n**2 + 11*n + n**2. Let k be d(3). Solve -o + k*l - 9 = 0, -5*l = 5*o - l - 12 for o.
0
Let l(g) = g + 10. Let t be l(-8). Solve 0 = 2*x + x, 2*j + 5*x + t = 0 for j.
-1
Let h(t) be the third derivative of t**5/60 + 3*t**4/8 + 4*t**3/3 - 3*t**2. Let z = 6 + -14. Let k be h(z). Solve -10 = 4*f + 2*w - k*w, 0 = -f - 2*w - 7 for f.
-1
Let x = -3 - -3. Suppose -2*y + 8 = -x. Let d be 3/6*y - 2. Solve u + 6 = n + 3*u, -4*n - u + 10 = d for n.
2
Suppose 5 = -2*s - 3*v, -3*s = -5*s - 2*v - 2. Suppose m = 5*m. Solve b + 4*o + 11 = 0, m = -5*b + s*o + 13 - 2 for b.
1
Let w(z) = -2*z**3 - 19*z**2 + 12*z + 24. Let b be w(-10). Solve 3*k + 24 = 2*d + d, -b*k = -5*d + 35 for d.
3
Let i(g) = 3*g - 5. Let s be i(4). Let f = s + -11. Let a = 4 + f. Solve -2*q + w + 1 = a, 2*q + 0*w = 5*w - 3 for q.
1
Suppose a - 15 = -4*a. Suppose 3*u - 10 = 4*f, -a*f - 1 + 0 = u. Solve 5*i = 4*n, u*i + 0*i = -3*n for n.
0
Let r be (1 - 0)/((-2)/(-6)). Suppose 2 - 14 = -r*i. Solve -7 = 4*y - v, 5*y = -2*v - v + i for y.
-1
Let q(r) = 0*r - 9*r**2 - 9 + r - r**3 - 2*r. Let z be q(-9). Solve 5*s + 4*a - 29 = z, 5*s + 3 = -5*a + 33 for s.
5
Let u be (-392)/40 - (-1)/(-5). Let t be 5 - (0 + 2) - u. Solve w - t = z - 3*z, -w - 3 = -2*z for z.
4
Let s be 0 + -1 - 0 - -2. Let p be ((-2)/(-1) + -2)/s. Suppose 5*q = -p + 20. Solve -f + 0 = -4, -f + q = -5*j for j.
0
Suppose 5*x + 4*d = 548, -5*d = -5*x - 55 + 585. Suppose 0 = r + 4, 0*r - x = -4*v - 3*r. Solve -2*f - v = 3*f - z, 0 = f - 2*z + 15 for f.
-5
Let h = -15 + 18. Let u(k) = k. Let g be u(h). Solve c = 5, -4*x + 3*x + 18 = g*c for x.
3
Let v(y) = 2*y**2 + 7*y + 14. Let s be v(-2). Solve 3*k = -3*j - 3, -5*j - s = 4*k - 0*j for k.
3
Let x = 3 - 0. Suppose -d + x = 5*g + 27, 3 = -2*d - g. Let s = d - -1. Solve 0*z = -4*j - z + 11, -3*z + 13 = s*j for j.
2
Let q be (-14 + -1)*7/(-21). Solve 0 = q*w - 5, 0 = 4*y - 3*y + w for y.
-1
Let v be (-1 - (-4 + 2))*17. Solve v = 3*j - 5*h, -j + 0*h = -2*h - 7 for j.
-1
Suppose 5*n - 2*b - 29 = 0, -5*n + 0*b - b + 23 = 0. Let x(f) = -f + 7. Let m be x(n). Solve 4 = p + 3*p, -j = m*p - 6 for j.
4
Let s be 8/20 + 72/20. Solve s*v + 4*t = v, -2*v - 5 = t for v.
-4
Let g(l) be the first derivative of -l**2/2 - 4*l - 5. Let c be g(-7). Solve -c*b + 4*f = -10, -4*b = 2*f - 4*f for b.
-2
Let p(s) = -s**3 + 7*s**2. Let y be p(7). Solve 3*v + a = -2*v - 9, -4*v - a - 7 = y for v.
-2
Let f = 6 + -16. Let r be (2 - 1)*(f + 10). Let x(w) = 2*w**2 + w + 1. Let h be x(-1). Solve r*l - 2*t + 11 = -3*l, -h*l = 3*t - 10 for l.
-1
Let z(g) = -g**2 - 9*g - 5. Let q be z(-8). Solve -q*p + 0*f + f + 11 = 0, 4*f - 24 = -5*p for p.
4
Let m = 13 - 10. Solve 0 = 4*o + i + 7, -i - m*i = -5*o - 35 for o
|
{
"pile_set_name": "DM Mathematics"
}
|
/8
Factor 2*a**3/3 + 236*a**2/3 - 238*a/3.
2*a*(a - 1)*(a + 119)/3
Factor l**3/3 - l**2/3 - 16*l/3 + 16/3.
(l - 4)*(l - 1)*(l + 4)/3
Determine x so that -2*x**5/7 - 304*x**4/7 - 1692*x**3 - 21600*x**2/7 + 33750*x/7 = 0.
-75, -3, 0, 1
Factor 92708*z**3 - 53760*z**2 + 8016*z - 64.
4*(7*z - 2)**2*(473*z - 4)
Find q such that 9*q**5/5 + 102*q**4/5 + 351*q**3/5 + 366*q**2/5 - 108*q/5 - 216/5 = 0.
-6, -3, -2, -1, 2/3
Determine t so that -36*t**4 - 258*t**3 + 842*t**2 + 2852*t + 848 = 0.
-53/6, -2, -1/3, 4
Suppose -5*r**5 - 55*r**4 + 210*r**3 + 1030*r**2 - 205*r - 975 = 0. Calculate r.
-13, -3, -1, 1, 5
Let -3*d**5/8 - 19*d**4/8 - 5*d**3 - 3*d**2 + 2*d + 2 = 0. What is d?
-2, -1, 2/3
Suppose g**5 + 8*g**4 + 13*g**3 - 22*g**2 - 32*g + 32 = 0. Calculate g.
-4, -2, 1
Let -h**3/6 + 23*h**2/6 - 71*h/6 - 95/6 = 0. What is h?
-1, 5, 19
Suppose -4*z**5/5 + 12*z**3/5 + 8*z**2/5 = 0. What is z?
-1, 0, 2
Let 2*l**3 + 440*l**2 - 3616*l + 7296 = 0. What is l?
-228, 4
Solve -p**4 - 114*p**3 + 348*p**2 - 350*p + 117 = 0.
-117, 1
Factor 3*x**3 + 711*x**2 + 41769*x - 42483.
3*(x - 1)*(x + 119)**2
Factor 4*z**3 + 12*z**2 - 36*z + 20.
4*(z - 1)**2*(z + 5)
Solve 5*p**5 - 90*p**4 + 235*p**3 - 150*p**2 = 0 for p.
0, 1, 2, 15
Solve 2*f**5/17 + 4*f**4/17 - 4*f**3/17 - 8*f**2/17 + 2*f/17 + 4/17 = 0.
-2, -1, 1
Solve 2*s**5 + 4*s**4 - 462*s**3 - 2344*s**2 + 7720*s + 9600 = 0 for s.
-10, -1, 3, 16
Solve -2*x**5 + 14*x**4 - 28*x**3 + 16*x**2 = 0 for x.
0, 1, 2, 4
Determine f so that 45*f**4 + 845*f**3 + 3410*f**2 - 5300*f + 1000 = 0.
-10, 2/9, 1
Determine m, given that 5*m**2/4 + 40*m + 320 = 0.
-16
Factor -i**3 - 3*i**2 + i + 3.
-(i - 1)*(i + 1)*(i + 3)
Determine i, given that -10*i**4/9 - 4906*i**3/9 - 598276*i**2/9 + 281752*i/3 - 26896 = 0.
-246, 2/5, 1
Factor -l**2/5 + 29*l/5 + 6.
-(l - 30)*(l + 1)/5
Factor y**2/5 - 574*y/5 - 1731/5.
(y - 577)*(y + 3)/5
Factor 2*w**3/17 - 12*w**2/17 + 16*w/17.
2*w*(w - 4)*(w - 2)/17
Factor 4*r**4 - 44*r**3 + 8*r**2 + 368*r - 480.
4*(r - 10)*(r - 2)**2*(r + 3)
Determine l, given that -l**4 - 41*l**3/5 + 37*l**2/5 + 9*l/5 = 0.
-9, -1/5, 0, 1
Factor -2*z**2 + 102*z - 100.
-2*(z - 50)*(z - 1)
Factor -147*t**3/2 - 121359*t**2/2 - 34656*t - 4950.
-3*(t + 825)*(7*t + 2)**2/2
Solve -9*s**5 - 632*s**4 - 1976*s**3 - 2226*s**2 - 1007*s - 134 = 0 for s.
-67, -1, -2/9
Find g, given that 4*g**2 - 136*g + 1092 = 0.
13, 21
Factor -3*i**4/5 - 153*i**3 - 2268*i**2/5.
-3*i**2*(i + 3)*(i + 252)/5
Factor 5*a**3 - 75*a**2 + 190*a - 120.
5*(a - 12)*(a - 2)*(a - 1)
Factor -4*d**2/7 - 10048*d - 44171008.
-4*(d + 8792)**2/7
What is i in 3*i**5 - 60*i**4 - 432*i**3 - 912*i**2 - 624*i = 0?
-2, 0, 26
Suppose -4*k**5/5 - 72*k**4/5 - 272*k**3/5 - 136*k**2/5 + 276*k/5 + 208/5 = 0. Calculate k.
-13, -4, -1, 1
Suppose 3*s**4 - 1767*s**3 + 5283*s**2 - 5277*s + 1758 = 0. Calculate s.
1, 586
Let 245*l**5 + 2345*l**4 - 3865*l**3 - 65*l**2 + 1120*l + 220 = 0. Calculate l.
-11, -2/7, 1
Suppose -3*n**2 + 48*n = 0. Calculate n.
0, 16
Solve -3*c**2/4 - 549*c/4 - 543/2 = 0 for c.
-181, -2
Let 5*l**3/3 - 95*l**2/3 = 0. What is l?
0, 19
Determine q so that 4*q**2 + 13408*q + 11235904 = 0.
-1676
Factor 14*b**4 - 534*b**3 + 5130*b**2 - 722*b.
2*b*(b - 19)**2*(7*b - 1)
Let -k**4/4 + 9*k**3/4 - 6*k**2 + 4*k = 0. Calculate k.
0, 1, 4
Solve q**4 + 24*q**3 + 214*q**2 + 840*q + 1225 = 0 for q.
-7, -5
Factor -2*r**2 + 18*r.
-2*r*(r - 9)
Suppose 6*m**2 + 4*m/3 = 0. What is m?
-2/9, 0
Factor -2*a**4 - 52*a**3 - 142*a**2 - 92*a.
-2*a*(a + 1)*(a + 2)*(a + 23)
Determine s so that -s**3 + 28*s**2 + 59*s + 30 = 0.
-1, 30
Factor 5*c**4 - 190*c**3 + 535*c**2 - 350*c.
5*c*(c - 35)*(c - 2)*(c - 1)
Factor o**3 - 102*o**2 + 3468*o - 39304.
(o - 34)**3
Factor 2*j**
|
{
"pile_set_name": "DM Mathematics"
}
|
v + u. Calculate the highest common divisor of 12 and m.
12
Let o(d) = 3*d**2 + 30*d + 12. Let m be o(-9). Let p(b) = 4*b + 128. Let i be p(m). Calculate the highest common divisor of 442 and i.
34
Let x be 9/((-18)/(-10)) - 1. Suppose -x*g + 12 = 0, 9*g - 46 = -b + 6*g. What is the highest common divisor of b and 148?
37
Suppose 2*c = 3*c - 2. Let n be (-154)/(-77)*(2 - (-1 - -2)). Suppose c*t + 0 + 2 = n*d, -4*t + 31 = 3*d. What is the highest common factor of t and 44?
4
Let p(u) = 679*u + 93. Let d be p(3). Calculate the highest common factor of d and 30.
30
Let i be -2 + (6 + -2 - 2). Suppose -2*n + 3*u + 20 = 0, -n + u + u + 12 = i. Suppose 331 = n*p + 139. Calculate the greatest common divisor of p and 32.
16
Let b = -1007 + 1475. Let k = 242 + -206. What is the greatest common factor of b and k?
36
Suppose -5*d - 30 + 5 = 0. Let r = 5 - d. Suppose -4*h + 154 = -2*a - 176, 4*a - 300 = -4*h. What is the highest common factor of r and h?
10
Let h be (-5)/((-15)/81)*(-231)/(-63). What is the highest common factor of 44 and h?
11
Suppose 743*g = 745*g + 5*l - 2, -5*g + 2*l + 34 = 0. Let j = -90 - -102. What is the greatest common divisor of g and j?
6
Let w(d) = 21*d**2 - 3*d + 12. Let c(a) = a**2 + 1. Let t(j) = -9*c(j) + w(j). Let o be t(-2). What is the greatest common factor of 95 and o?
19
Suppose 0*s = -18*s + 324. Suppose 220 + 410 = s*r. Calculate the highest common factor of r and 21.
7
Suppose -367*z - 351 = -3*m - 364*z, -3*z - 123 = -m. Calculate the greatest common divisor of m and 5073.
57
Suppose 0 = -2*c - 2*z + 524, -484 = -2*c + 2*z + 36. Suppose 0 = 3*t + 3*g - 105, 6*t = 9*t - g - 109. What is the highest common factor of c and t?
9
Suppose -p + 332 = 104. Suppose 4187*v - 45 = -f + 4183*v, -300 = -5*f + 5*v. What is the highest common factor of p and f?
57
Let s = -57 - -55. Let a be 2 + 72/1 - (s + -1). Suppose -5*u - 15 = -50. What is the greatest common factor of a and u?
7
Suppose 0 = 4*v - 4. Suppose -242 = -12*z - 230. Calculate the greatest common factor of v and z.
1
Let j be (0 + 4 - (-44)/(-12))*12. Suppose 2*b = j*b - 418. What is the greatest common factor of 57 and b?
19
Let b(k) = -14*k - 30*k + 0*k - 73 - 3*k**2 + 12*k - 24*k. Let i be b(-17). Suppose 5*x - 4 = 16. Calculate the highest common factor of i and x.
4
Let k(v) = -2*v**2 - 38*v - 40. Let j be k(-16). Calculate the highest common factor of 7 and j.
7
Let q(d) = d**3 - 9*d**2 + 11*d - 12. Let i = -4 - -12. Let h be q(i). Suppose 412*a = 1151 - 327. Calculate the highest common divisor of h and a.
2
Suppose 0 = 7*g - 66 - 1194. Calculate the highest common divisor of g and 1680.
60
Suppose -52*s = -44*s. Suppose -2*z + 47 = 5*u, z + 3*u - 23 = -s*u. What is the highest common divisor of z and 234?
26
Suppose -10*w = 2*w - 1620. Let t be ((-120)/3)/(-8 - (-6 + 0)). Calculate the greatest common factor of t and w.
5
Suppose 173*g - 11046 - 6254 = 0. Calculate the highest common divisor of g and 3725.
25
Let p = 30 + -14. Let x be (-16)/((-10)/(-105) - (-50)/(-84)). Calculate the greatest common divisor of p and x.
16
Let h(g) = g**2 + 4. Let y(s) = -s**3 - 14*s**2 - 14*s - 4. Let x(c) = -3*h(c) - y(c). Let p be x(-4). Calculate the highest common factor of 352 and p.
16
Suppose 40 = 5*x - 15. Let g(q) = -488*q**3 + 21*q**2 + 23*q + 2. Let v be g(-1). Let c = v - 411. Calculate the greatest common factor of x and c.
11
Suppose -11*b - 11*b = 6*b - 14952. Calculate the greatest common divisor of 2 and b.
2
Let r = -742 + 1078. What is the highest common factor of r and 144?
48
Let g(n) = -3*n + 7. Let j be g(-6). Suppose 5*h - 868 = -5*h + 1382. What is the greatest common factor of h and j?
25
Let o = 24979 + -23450. Calculate the highest common divisor of 88 and o.
11
Suppose -2*j - 361 = -4*j + 5*w, -j + 5*w = -193. Suppose 5*c - 34 - 26 = -4*o, -3*c = -3*o - 9. Calculate the highest common divisor of j and c.
8
Let k = -123 - -108. Let u = 17 + k. Suppose 40 = i + i + 5*d, 40 = u*i + 4*d. What is the highest common factor of 50 and i?
10
Suppose 3*h - 896 = -6*u + 2*u, 5*u + 20 = 0. Let l = -234 + h. What is the greatest common factor of 168 and l?
14
Let a = -1382 - -1388. What is the highest common factor of a and 36?
6
Suppose 3958*v = 3929*v + 174. Let i be 19/3 - 1/3. What is the highest common factor of v and i?
6
Suppose 0 = 1156*t - 1163*t + 70. Calculate the greatest common factor of t and 2040.
10
Suppose 5*w - 957 = 78. Let o(r) = -r**3 + 2*r**2 + 24*r + 7. Let j be o(-8). Let x be ((-2)/4)/(j/230 + -2). Calculate the greatest common divisor of x and w.
23
Suppose -289*p - 540790 = -2442337 - 600904. Calculate the highest common factor of p and 7.
7
Let m = 3048 - 2628. Calculate the greatest common factor of 1500 and m.
60
Suppose -3*c + 41 = 2*u, -7*u + 3*c + 109 = -3*u. Let y(x) = 3*x**3 - 8*x**2 - 13*x - 7. Let p be y(6). What is the highest common factor of u and p?
25
Suppose -g + 165 = -5*q, -3*q - 16 = 4*g + 106. Let f = q - -83. Suppose 2*o - 5*h = 17, -4*o + f = -0*o + 5*h. What is the greatest common divisor of o and 22?
11
Let r(y) = -5*y - 23. Let p(m) = 6*m - 2. Let o be p(3). Suppose o + 12 = -4*j. Let n be r(j). What is the highest common factor of n and 3?
3
Let t = 998 - 704. Let d = -96 + t. Calculate the greatest
|
{
"pile_set_name": "DM Mathematics"
}
|
/4, 2/5, -0.3 in descending order.
2/5, -2/47, -1/4, -0.3, -38/7
Sort 112, 1/2, 0.002, 1 in descending order.
112, 1, 1/2, 0.002
Put -97584, -3, -5 in increasing order.
-97584, -5, -3
Sort -1/2, -4/3, -1/8, 28/37, -3 in decreasing order.
28/37, -1/8, -1/2, -4/3, -3
Put 556, -3, 10 in ascending order.
-3, 10, 556
Put 5, -459, -2, 4, 16 in descending order.
16, 5, 4, -2, -459
Sort 1/8, 5/2, 0.31, 3, 23, 0 in descending order.
23, 3, 5/2, 0.31, 1/8, 0
Put 5, 3, -4, 4, -1, -8 in ascending order.
-8, -4, -1, 3, 4, 5
Sort 28, 1, 1142, -6 in increasing order.
-6, 1, 28, 1142
Put -1, 4, 16, 23, -14 in decreasing order.
23, 16, 4, -1, -14
Put 69, 27, 2 in decreasing order.
69, 27, 2
Sort 3, -583, 373 in descending order.
373, 3, -583
Put -4, -20, -2, -5, 28 in descending order.
28, -2, -4, -5, -20
Put -13, -43, 888, -3 in decreasing order.
888, -3, -13, -43
Sort 4, 163/9, -4 in ascending order.
-4, 4, 163/9
Sort -112, -2, 1, 5, 163 in ascending order.
-112, -2, 1, 5, 163
Sort -2/7, 0, -4/5, -461, -0.3 in descending order.
0, -2/7, -0.3, -4/5, -461
Sort -8, -2, -31, 0, -3 in descending order.
0, -2, -3, -8, -31
Put 2, -4, 1, 18, 86 in descending order.
86, 18, 2, 1, -4
Sort 2, -6, 3, -1609 in increasing order.
-1609, -6, 2, 3
Put -0.102, -1/3, 1, 0.02 in decreasing order.
1, 0.02, -0.102, -1/3
Sort -0.035, -3/5, 1508 in ascending order.
-3/5, -0.035, 1508
Sort -5, -6, 2, -15 in decreasing order.
2, -5, -6, -15
Sort 47, 5, -3, 25 in descending order.
47, 25, 5, -3
Sort -57, -3, -35, 0, -5 in increasing order.
-57, -35, -5, -3, 0
Put -4, 5, 26, -3, -8 in descending order.
26, 5, -3, -4, -8
Put -1865, 8, 4 in increasing order.
-1865, 4, 8
Sort 4, 1, 319, -6 in descending order.
319, 4, 1, -6
Sort -0.2, 3, -47, 54.
-47, -0.2, 3, 54
Put 15334, 0.3, 20 in descending order.
15334, 20, 0.3
Sort 5, -4, 110509 in descending order.
110509, 5, -4
Sort -3, -1, -2529, 69.
-2529, -3, -1, 69
Sort 3, -10728, 1, -2 in decreasing order.
3, 1, -2, -10728
Sort -31, -4, 5, -70 in descending order.
5, -4, -31, -70
Sort 3, 0.5, -2, 3/16, 691/8, -2/19 in increasing order.
-2, -2/19, 3/16, 0.5, 3, 691/8
Sort -5, -8342, 1 in descending order.
1, -5, -8342
Sort -1775, 5/2, -6 in increasing order.
-1775, -6, 5/2
Sort -1, -4, -5, 14, 9 in decreasing order.
14, 9, -1, -4, -5
Sort 3/8, 2.4, -6329, 1 in ascending order.
-6329, 3/8, 1, 2.4
Sort 2, -1030, -4, -2 in ascending order.
-1030, -4, -2, 2
Sort 0, -510, 6, -3.
-510, -3, 0, 6
Put 2, 3, -3, 1, 18, -11 in increasing order.
-11, -3, 1, 2, 3, 18
Sort -3, -4, -39469, 3 in decreasing order.
3, -3, -4, -39469
Put 2/5, 3/7, 1, -2/33, -2 in increasing order.
-2, -2/33, 2/5, 3/7, 1
Sort 1/7, 955, 1/3, 5, -3 in decreasing order.
955, 5, 1/3, 1/7, -3
Put -3, -55/2, -1/5, -2 in descending order.
-1/5, -2, -3, -55/2
Sort 0, -1, -0.1, -36, 6.3, 0.1 in decreasing order.
6.3, 0.1, 0, -0.1, -1, -36
Put 4, -1, -14, 11 in descending order.
11, 4, -1, -14
Sort 15/7, 3, -1, -8, -1/3, -22 in ascending order.
-22, -8, -1, -1/3, 15/7, 3
Put 1051, -1, -2, 3, 0 in increasing order.
-2, -1, 0, 3, 1051
Sort 2, 31171, -5, 1 in decreasing order.
31171, 2, 1, -5
Sort -4, 0.1, 1, 5, 100 in increasing order.
-4, 0.1, 1, 5, 100
Sort 1, -6, -0.9, -1, 4/13, 3.5.
-6, -1, -0.9, 4/13, 1, 3.5
Sort 1, 0.38, 2, -1/4, 5 in ascending order.
-1/4, 0.38, 1, 2, 5
Sort 5, 49, -588 in descending order.
49, 5, -588
Sort 0.02, 5/2, 1/4, -34.9 in decreasing order.
5/2, 1/4, 0.02, -34.9
Sort 3, -6, -4634 in decreasing order.
3, -6, -4634
Sort -5, 10755, 5 in descending order.
10755, 5, -5
Sort -25, -9348, 3.
-9348, -25, 3
Put -4, -3, 46, 156, 21 in descending order.
156, 46, 21, -3, -4
Sort 5, -81, 16, -20 in decreasing order.
16, 5, -20, -81
Sort -5, -0.14, -632.
-632, -5, -0.14
Sort 5, -1, 15, 5981 in decreasing order.
5981, 15, 5, -1
Sort 2, 4/7, 4, -0.0517.
-0.0517, 4/7, 2, 4
Sort -1.2, 22, -45, -3.
-45, -3, -1.2, 22
Sort 222, -399, -5, -1, 0 in decreasing order.
222, 0, -1, -5, -399
Put -3, 4, -20, -11893, 0 in decreasing order.
4, 0, -3, -20, -11893
Sort 4, 0, -0.4, 0.2, 14, -0.2 in decreasing order.
14, 4, 0.2, 0, -0.2, -0.4
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is k rounded to the nearest 1000?
-1000
Let f = -726 + 513. Let z = f - 219. Let c = z - -822. Round c to the nearest one hundred.
400
Let n(p) = -4999991*p + 6. Let g(q) = -1666664*q + 2. Let x(a) = -7*g(a) + 2*n(a). Let l be x(-3). Round l to the nearest one million.
-5000000
Let p = 0.13 - 0.06. Let v = p - 0.06956. What is v rounded to 4 dps?
0.0004
Let g = -0.011 + 2.461. Round g to 1 decimal place.
2.5
Let m = -355.9999733 - -356. What is m rounded to six dps?
0.000027
Let z(p) = 349996*p**2 - 6. Let c(h) = 349995*h**2 - 7. Let j(w) = -5*c(w) + 6*z(w). Let m be j(-1). What is m rounded to the nearest one hundred thousand?
400000
Suppose 2*j + 2*j = 8. Suppose 0 = b + j*b. Suppose -363000 = -b*i + 3*i. Round i to the nearest ten thousand.
-120000
Let i = -0.17 + 0.1700085. Round i to 6 decimal places.
0.000009
Suppose -r + 3*t - 645200 = 0, 6*r - 3*r = 3*t - 1935570. Let c = 333718 + r. Let p = 101467 + c. What is p rounded to the nearest one hundred thousand?
-200000
Let g = -1335288 + 1335289.3999928. Let i = -2.4 + 3.8. Let b = g - i. What is b rounded to 6 dps?
-0.000007
Let o = 17.5 - -6.1. Let l = o + -23.59999827. Round l to seven decimal places.
0.0000017
Let p = -91.9839 + 92. What is p rounded to three decimal places?
0.016
Let u = -5.3 - -5.3000073. What is u rounded to 6 dps?
0.000007
Let f = 29 + -19. Let u = f - 10. What is u rounded to five dps?
0
Let r = 0.8950587 + -0.895. What is r rounded to five dps?
0.00006
Let p(a) = -32300001*a - 1. Let m be p(-1). Round m to the nearest one million.
32000000
Let y(v) = 2*v - 2. Let m be y(2). Let a(p) = -316*p + 2. Let l be a(m). What is l rounded to the nearest one hundred?
-600
Let y = -7.5084 + 7.5. What is y rounded to three decimal places?
-0.008
Let p(f) = -f**2 + 2. Let r be p(0). Let x = r + 3. Let h(l) = l**3 - 2*l**2 - 2*l + 5. Let q be h(x). What is q rounded to the nearest ten?
70
Let u = -0.7 - 1.3. Let s = -1.6 - u. Round s to 1 dp.
0.4
Let u = -80 - -79.999878. Round u to 5 dps.
-0.00012
Let x = -6995.7 - -7384. Let c = x + -368. Let l = 22 - c. What is l rounded to zero decimal places?
2
Let c(m) = -78*m**3 + 13*m**2 - 6*m - 16. Let r be c(12). Round r to the nearest 10000.
-130000
Let p = 58.9959 + -59. What is p rounded to 3 decimal places?
-0.004
Let z = -0.042 - -51.042. Let a = -31359.958 - -31309. Let m = z + a. What is m rounded to two decimal places?
0.04
Let s = 0.106 + -0.043. Round s to two dps.
0.06
Let v be 31649/(-2)*932/(-2). Let r = v - 16674217. Round r to the nearest one million.
-9000000
Let w = 67 + -12. Let j = 139 - w. Let d = -77.3 + j. Round d to the nearest integer.
7
Let c = 0.019451 + -0.0035956. Let z = -0.3840436 - c. Let p = z - -0.4. Round p to five dps.
0.0001
Let g(s) = -s - 1. Let y be g(-4). Suppose -y*b + 342 = -b. Suppose 4*p = -b - 29. Round p to the nearest 100.
-100
Let x = -59.28 + 58. Let n = x - -2.01. What is n rounded to 1 dp?
0.7
Let l = -19.7 + 7. Let d = -18 - l. Let i = d - -3. Round i to the nearest integer.
-2
Let h = 15.62 - -54.08. Let m = h + -8.7. Let r = 61.0000037 - m. What is r rounded to 6 dps?
0.000004
Let f = -95 + -220. Suppose 0 = -6*t + t + 4*y - 529, 0 = -4*t + 4*y - 424. Let n = t - f. What is n rounded to the nearest 100?
200
Let u = -23.5 - -16. Let n = 7.5124 + u. Round n to three decimal places.
0.012
Let l = -0.08817 - 0.91323. Let f = l + 1. Round f to three decimal places.
-0.001
Let c = -3018974 - -11098974. Suppose -c = 2*o + 2*o. What is o rounded to the nearest one hundred thousand?
-2000000
Let a = -67302 + 22508. Let k = 44978.19 + a. Let u = -185 + k. Round u to one dp.
-0.8
Suppose 0 = 2*p - p - 186000. Round p to the nearest 10000.
190000
Let n = 29099849.96149464 + -29099851. Let d = -0.16149486 + n. Let p = -1.2 - d. What is p rounded to seven dps?
0.0000002
Let k = -5 - -2. Let b = k + 3.01. Let q = 0.00999985 - b. Round q to 7 dps.
-0.0000002
Let c = -99.47 - -95.4. Let i = c + 4. Let d = i - -0.67. Round d to one dp.
0.6
Let f(t) = -6944*t**2 + 7*t + 20. Let a be f(-12). Round a to the nearest one million.
-1000000
Let y = -21.9537 - -1.0217. Let r = -21 - y. Round r to 2 decimal places.
-0.07
Suppose x - 21 = -134. Round x to the nearest ten.
-110
Let k = -2.1 + -7.9. Let y = k + 10.000194. What is y rounded to 5 dps?
0.00019
Let b be ((-2)/(-6))/(2/12). Suppose 2*o + 300000 = -b*o. What is o rounded to the nearest 10000?
-80000
Let d = 44 - 62. Let h = -18.00007 - d. What is h rounded to four decimal places?
-0.0001
Let s = 243 - 240.67. What is s rounded to 1 dp?
2.3
Let q = 51 + -51.00000093. Round q to 7 dps.
-0.0000009
Let y = -240589553.00000055 + 240589573. Let d = -20 + y. What is d rounded to seven dps?
-0.0000006
Let x be 7/(-2)*(-8)/14. Suppose 0 = -x*m + 3*m + 2. Let n(q) = -13*q**3 - 2*q**2 - 2*q. Let g be n(m). What is g rounded to the nearest 1000?
0
Let l = -0.04 + -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
).
-5866*v
Expand (61 - 111 - 270)*(-83 - 113 + 226 + 2*y).
-640*y - 9600
Expand (2 + 353627*l - 2 - 349157*l)*(-4*l**2 + l**4 + 7*l**2 + l**4).
8940*l**5 + 13410*l**3
Expand (-3 + 5 - 3)*(1 + 3 - 3)*((-4 - 1 + 0)*(3 - 3 - s) + 2*s - 4*s + 5*s) + 3 + 4*s - 3.
-4*s
Expand (2*n + 3 - 3)*(4*n**3 + 25*n**3 - 6*n**3)*(-635 + 635 - 54*n).
-2484*n**5
Expand (-318 + 335 - 180*p + 208*p)*(2*p - p + 2*p).
84*p**2 + 51*p
Expand 3*d - 2*d + 0*d + (938*d - 927*d - 2 + 1)*(-2 - 1 - 3).
-65*d + 6
Expand (-2*g**2 + 4*g**2 + 2*g**2)*(21*g**2 - 20*g**2 - 2*g - 106 + 0*g**2).
4*g**4 - 8*g**3 - 424*g**2
Expand (0 + 1 - 2)*(2 - 2 + 2)*(-607*c**5 + 4*c**3 - 687*c**5 + 1061*c**5).
466*c**5 - 8*c**3
Expand 3*i**2 + 3*i - 3*i + (2*i + 0*i - 5*i)*(3*i - 2*i + i) + (3*i - i + 0*i)*(-465 + 286*i + 465).
569*i**2
Expand (x**2 + 3*x**2 - 6*x**2)*(-3*x + x + 4*x) + (61*x**2 + 165*x**2 - 109*x**2)*(4*x - 5*x + 3*x).
230*x**3
Expand y + y + 2*y + (0 + 1 - 3)*(y - 4 + 4) + 3*y - 4*y + 0*y + 4 + 4*y - 4 + (-5 + 3 + 3)*(y - 2 + 2) + 1 - 1 + y + (1 - 2 + 8)*(10*y - 34*y + 10*y).
-91*y
Expand -2*f + 2*f + 2*f + (-724*f - 411*f + 1481*f)*(3 - 3 + 4).
1386*f
Expand w + 11*w**3 - 25*w**3 - 3*w - 2*w**2 + (595*w**3 + 48433*w - 48433*w)*(0 + 1 + 1).
1176*w**3 - 2*w**2 - 2*w
Expand (-1 + 2 + 1)*(10*r**4 - 6*r**4 - 3*r**4 + 12 - 12 + 3*r**4 + (r**2 - 1 + 1)*(-r**2 + 0 + 0) - 6*r**4 + r**4 + 4*r**4).
4*r**4
Expand (-6*c - 6*c + 5*c + (5 - 5 - 3*c)*(59 - 42 + 64))*(c - 2*c - c).
500*c**2
Expand (r + 0*r - 3*r)*(15 + 4 - 8)*(303*r + 10*r + 67*r).
-8360*r**2
Expand 103*y - 74*y + 230*y - 6*y + y + 3*y + (2 - 5 + 1)*(-3 + 2*y + 3).
253*y
Expand (c - 8*c + 2*c)*(1 + 0 - 3)*(5334*c - 3056*c**3 - 5334*c).
-30560*c**4
Expand (-542*v - 265*v - 72*v)*(-2 - 4 + 4).
1758*v
Expand (11*t - 2 + 2)*(139 + 194 + 842 - 158 + 516).
16863*t
Expand -3*l + 3*l - 5*l + (3 - 1 + 4)*(l - 2*l - l) + 13*l - 8 + 8.
-4*l
Expand 0*d**5 + d**5 - 2*d**5 + (-4*d**2 + 26*d**2 - 2*d**2)*(0*d + 3*d - 2*d)*(0*d - d - 54 + 23095*d**2 - 23097*d**2).
-41*d**5 - 20*d**4 - 1080*d**3
Expand -124*r**5 - 22*r**5 + 20*r**5 + (7 - 2 - 1)*(-r**3 - 2*r**5 + r**3) + 2*r**5 + 0*r**4 + 0*r**4.
-132*r**5
Expand -554 + 2*h**3 - 59 - 162 + 0*h + h**3 + 0*h + (-2*h**3 + 4*h**3 + 0*h**3)*(-3 + 5 + 0) - 4 - h**3 + 4 + 3*h**2 - 3*h**2 - h**3.
5*h**3 - 775
Expand (-j + j + 2*j)*(-2*j**3 + 2*j**3 + j**4) - 3455*j**5 - 3802*j**5 + 8598*j**5 + 3*j**5 - 4*j**5 - j**5.
1341*j**5
Expand (-7*p**4 + 0*p**4 + 2*p**4)*((0 - 27 + 14)*(1 - 4 + 1) + (7 + 2 - 3)*(4 + 0 - 3))*(-3 + 2*p + 3).
-320*p**5
Expand -2*q**3 + 0*q**3 - q**3 + 0*q**3 - 3*q**3 + 2*q**3 + (3*q + 2*q - 3*q)*(-4*q**2 + q**2 + q**2) + 61434*q**2 - 61434*q**2 + 494*q**3.
486*q**3
Expand (-72 - 82 + 84 + (-1 - 1 + 0)*(-5 + 3 + 0))*(-2*g - 3*g - 12*g).
1122*g
Expand (2*t + 0 + 0)*(-1 - 2 + 5)*(2*t**2 + 2*t**2 - 6*t**2)*(2 + 0 + 0)*(1 + 3 - 2)*(-2 + 7 + 3).
-256*t**3
Expand 19*m**3 - 18*m**3 - 21*m**2 + 32*m**2 - m**3 + 2*m**3 - 4*m**3 + (5*m - 5*m + 2*m)*(4*m**2 - 3*m**2 + 3*m**2) + 0*m**2 + 0*m**2 - m**3.
5*m**3 + 11*m**2
Expand (-4*d + d + d)*(5135*d - 5135*d - 155*d**4 + (1 + 3 - 7)*(3*d**2 - 2*d**2 - 3*d**2)*(-3*d**2 + d**2 + 4*d**2)).
286*d**5
Expand -4*g - 38*g - g**2 + 20*g + 4*g**2 + 3 - 3 + (g - 3*g + 0*g)*(4*g + g - 2*g).
-3*g**2 - 22*g
Expand (-48*c + 13*c - 173*c)*(-c + 5*c - 2*c + (-18 + 10 - 6)*(c + 0 + 0) + 4*c + 0*c - 3*c).
2288*c**2
Expand (-373 + 373 - 43*c**3)*(-1 + 0 + 2)*(6 - 6 - 2*c).
86*c**4
Expand (8*v**5 - 3*v**5 - v**5)*((-1 - 1 + 1)*(0 - 5 + 4) + 15 - 17 - 9 + (2 + 0 - 3)*(-2 + 2 - 2)) + 0*v**5 + v**5 + 2*v**5.
-29*v**5
Expand -2*z - 2*z**5 + 2*z + (0*
|
{
"pile_set_name": "DM Mathematics"
}
|
. Is v a composite number?
True
Let a be -1 - -2 - 6/(-6). Is -4 + 0 + -3 + a + 748 composite?
False
Let l(h) = -2*h**3 - 11*h**2 - 10*h - 14. Let n = 58 + -25. Suppose 5*r + 2 = -n. Is l(r) a prime number?
False
Let a(f) be the first derivative of 187*f**2/2 - 3*f + 13. Is a(2) a composite number?
True
Let l(k) = -2*k - 18. Let t be l(-16). Suppose -1256 = -t*q + 10*q. Is 3 - (-2 - 0 - q) prime?
False
Suppose 0 = 4*t - y - 20, 3*t - 5*y + 0*y + 2 = 0. Suppose -25 = t*w - 4543. Is w a prime number?
False
Suppose -1134 = 2*g - 3*q - 3406, q + 1137 = g. Is g a prime number?
False
Is 9712 + 9 + 0 + -2 a prime number?
True
Let g be 1 + 3 - 882/(-7). Let x = -129 - -76. Let q = x + g. Is q composite?
True
Let z be ((-1)/(-2))/((-15)/90). Is (45/(-18))/(z + (-442)/(-148)) composite?
True
Suppose y + 2228 = 2*y + r, 0 = 2*y - 5*r - 4456. Is (0 - y/4)*-1 a composite number?
False
Let m(u) = u + 19. Let a be m(-14). Suppose -a*z + 4234 = -1981. Let t = z - 876. Is t prime?
True
Let v = -20 + 23. Let b be (1/(-3))/(1/v). Is b/(1/202)*-1 composite?
True
Let i(t) be the second derivative of 3*t**4/4 - 5*t**3/3 - 21*t**2/2 + 21*t. Is i(-8) a prime number?
False
Let v be (-8)/(12/(-3)) + -139. Let k = 374 + -606. Let t = v - k. Is t a composite number?
True
Is 3/(3*(-6)/(-29778)) a composite number?
True
Let f = -2028 + 4655. Is f prime?
False
Let w = 31 + -28. Suppose 0 = w*y + s - 958, 5*y + 2*s + s = 1598. Is y a composite number?
True
Suppose -4*z + 241 + 642 = m, 0 = 5*z - 5. Is m prime?
False
Is 1/6 + 453690/108 a composite number?
False
Let p(r) = -28*r + 1. Let l be (-22)/132 + 130/(-12). Is p(l) a composite number?
True
Let j = 61772 - 43531. Suppose -3*o + j = 2092. Is o a prime number?
False
Suppose 2*l - 4 = 4*j + 38, 3*l - 27 = 2*j. Let v be (-1)/(28/j - -3). Is ((-1072)/24)/((-2)/v) a composite number?
True
Let u(w) = -152*w + 6. Let k be u(5). Let m = -515 - k. Is m a prime number?
True
Let m = -22391 + 31390. Is m prime?
True
Let r be 40357 - (64/(-30) - (-8)/60). Suppose -r = -4*y - 7*y. Is y a composite number?
True
Let g = -3 + 7. Let p(k) = -k**2 + 5*k - 1. Let r be p(g). Suppose 3*o - o + u - 221 = 0, r*o = 3*u + 336. Is o a composite number?
True
Let p = 7 + -3. Suppose -1 + p = h. Suppose 0 = h*z - 6*z + 573. Is z a composite number?
False
Suppose 4*g - 6*g + 3*h + 28889 = 0, 0 = 5*h + 25. Is g prime?
True
Suppose -2*z - 1158 = -66. Suppose 2*d - d + 2*a = -13, -a + 67 = -3*d. Is z/(-4)*(-14)/d a composite number?
True
Let y = 40644 + -12275. Is y composite?
True
Suppose 6*c - 7*c + 9 = g, 4*c + 34 = 3*g. Suppose 11*m = g*m + 37. Is m a composite number?
False
Let w = 3856 - 1554. Is w a prime number?
False
Let r(g) = 9*g**2 - 1. Let j = 21 - 14. Let h(a) = a - 9. Let u be h(j). Is r(u) a composite number?
True
Suppose 29*o + 1305 = 34*o. Suppose 0 = -k - o + 1072. Is k a prime number?
True
Let w be (6/4)/((-3)/2012). Let z = -539 - w. Is z composite?
False
Let r = 10068 + -4921. Is r composite?
False
Let f = -70979 + 140518. Is f a prime number?
True
Suppose 4 + 2 = 2*k. Suppose 0*y + 2*y = -k*c + 509, 5*c = -5*y + 850. Is c a prime number?
False
Let x be 100/60 - (-2)/6. Suppose 4*l + l + 3*z = 49, -4*l - x*z + 40 = 0. Is l a composite number?
False
Let c(b) = -22 + 152 - 2*b + 39. Let p be ((3 - 5) + 2)/1. Is c(p) prime?
False
Let w = 6 - 6. Suppose 4*r = -3*f + 9793, f - 3296 = -w*f + 5*r. Is f composite?
False
Let b = 21 - 2. Is b a composite number?
False
Let l(v) = v**3 - 4*v**2 - 2*v + 6. Let w be l(4). Let u be (0 - (w + -1)) + 0. Is (-443)/(0 - (-2 + u)) a composite number?
False
Is 4611 + -2 - 0/(-21) a composite number?
True
Let g = 21894 - 7933. Is g a prime number?
False
Suppose -7*y - 24482 = -2*z - 3*y, 3*z = -5*y + 36756. Is z prime?
False
Let p = 15 - 8. Suppose -2*v + p*v - 20 = 0. Suppose v*n - 620 = 2544. Is n a prime number?
False
Let x be (-14)/4*(-248)/(-4). Let w = x - -366. Is w a prime number?
True
Let b = 78 - 76. Suppose -3*l + 1532 = b*s + 3*s, -l = -2*s + 615. Is s composite?
False
Let v = -122 - -212. Let r be (335/10)/(3/(-12)*-2). Suppose -v - r = -d. Is d a prime number?
True
Let l(t) = 2670*t**2 + 1. Is l(-2) a composite number?
True
Let n = 13 + -11. Suppose 29 = n*u - 17. Is u prime?
True
Let j = -25038 + 36235. Is j prime?
True
Let b be -2 + (8 - (-1 + 5)). Is 1761/27 - b/9 a composite number?
True
Let o(g) = -2*g**2 + 9*g + 1. Let x be o(7). Let k be 5285/17 - 4/x. Suppose k = -4*w + 2899. Is w a composite number?
False
Is (-11)/(((-5)/15)/(1151/3)) a prime number?
False
Let r be 27639/108 - (15/36)/(-5). Suppose -5*a - 185 = 3*s + 356, s - 212 = 2*a. Let b = a + r. Is b a composite number?
False
Suppose 1179*x + 725780 = 1199*x. Is x a composite number?
True
Suppose 0 = 4*x - 2*f - 430, -3*f + 78 = -3*x + 405. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
148/35663
Calculate 1053517435 divided by 210703487.
5
Calculate -1057753 divided by -8.
1057753/8
-7244204 divided by -341
21244
Divide 2882091 by 19.
151689
What is 1130033 divided by -24?
-1130033/24
Calculate -507249 divided by 43.
-507249/43
115708290 divided by 323
358230
Calculate -3337 divided by -31.
3337/31
Divide -60431 by 330.
-60431/330
Divide -1 by 1753500.
-1/1753500
Divide -65784082 by -26.
2530157
Calculate -423704094 divided by 664113.
-638
2847444 divided by -6
-474574
Divide -241 by -689893.
241/689893
-1679 divided by 4232
-73/184
What is 14073248 divided by 251308?
56
What is 2862468 divided by 333?
8596
Calculate 13904256 divided by -16.
-869016
15838 divided by -8545
-15838/8545
Calculate -1083154405 divided by -4.
1083154405/4
33010860 divided by 5
6602172
Calculate 35134138 divided by -46597.
-754
-26134425 divided by -1025
25497
What is 18370 divided by -18617?
-18370/18617
Calculate 142 divided by 2842.
71/1421
What is 70147 divided by 10?
70147/10
84486814 divided by -2060654
-41
Calculate 5962050 divided by -1192410.
-5
Divide -585 by -32186.
585/32186
Divide 240266 by 2.
120133
-3568 divided by 4624
-223/289
Calculate 21361155 divided by 1424077.
15
Calculate -374 divided by -311658.
187/155829
-116 divided by -2611632
29/652908
-412 divided by -94396
103/23599
-214266 divided by 255
-71422/85
What is 7677 divided by -2128?
-7677/2128
Divide -417765217 by -21987643.
19
-146239207 divided by -4
146239207/4
5 divided by 57181438
5/57181438
-62674220 divided by 2513
-24940
-6115635 divided by -509
12015
Divide 13896444 by -6948222.
-2
What is -238 divided by 2139723?
-238/2139723
Divide -4711431 by 17.
-277143
Divide -4268572 by -2134286.
2
Divide -2299310 by 230.
-9997
Calculate 123900 divided by -79.
-123900/79
-630765 divided by 14017
-45
Divide -4096068 by -1024017.
4
-16439694 divided by 25607
-642
What is 9342732 divided by -15889?
-588
Calculate -18971552 divided by -3.
18971552/3
What is 1354068 divided by 18?
75226
6245424 divided by 549
11376
-31399 divided by -4508
31399/4508
What is 508390608 divided by 3?
169463536
Calculate 55514151 divided by 77.
720963
221490 divided by -51
-73830/17
-45151536 divided by 7525256
-6
Calculate -44 divided by 1767.
-44/1767
Divide 1263908086 by 90279149.
14
Divide -182 by -21726.
91/10863
Calculate -75884604 divided by -925422.
82
Divide 295991 by 1111.
295991/1111
Calculate 2 divided by 168759687.
2/168759687
What is 208 divided by -144?
-13/9
Divide 9298116 by -9.
-1033124
Calculate -117619 divided by -3.
117619/3
Divide -3 by 29914835.
-3/29914835
Divide -67200 by 600.
-112
Divide -1739904 by -9456.
184
-14317632 divided by 1590848
-9
What is 36104100 divided by -32?
-9026025/8
Divide 10259838 by -7.
-10259838/7
What is 5 divided by 1610490?
1/322098
-481196 divided by -69
481196/69
Calculate 153863262 divided by 9.
17095918
Divide -18450792 by 488.
-37809
Divide -13 by 29994650.
-13/29994650
Divide 464 by 3420.
116/855
-18169856 divided by -16384
1109
Divide -8903 by -2079.
8903/2079
Divide -2208853 by -12.
2208853/12
Divide -116616616 by 2.
-58308308
-2 divided by -564344
1/282172
What is -523460052 divided by 416436?
-1257
Divide 341807 by 171.
341807/171
Divide 54 by -153549.
-2/5687
What is 28139 divided by -30?
-28139/30
Calculate 12628410 divided by -1230.
-10267
Calculate -265912173 divided by 29545797.
-9
Divide -13746777 by -5.
13746777/5
Divide 87152624 by -676.
-128924
14178224 divided by 8
1772278
Divide -187159170 by 6.
-31193195
What is -943650 divided by -810?
1165
What is 18831762 divided by 15654?
1203
Calculate 12448 divided by 570.
6224/285
43345308 divided by 2
21672654
-150269 divided by -13
150269/13
11753 divided by 3356
11753/3356
Divide -475155460 by 119236.
-3985
Divide -4016 by -191.
4016/191
Divide -1 by -29166872.
1/29166872
Divide 2299025 by 18.
2299025/18
Calculate -7514224 divided by -3757112.
2
Calculate -140568 divided by 304.
-17571/38
What is 2075093 divided by 2?
2075093/2
Divide 295746 by 49291.
6
Divide 30570688 by -4.
-7642672
What is -5491 divided by -13208?
5491/13208
Divide -101407688 by 1.
-101407688
Divide 5287008 by 440584.
12
What is 0 divided by -6207721?
0
What is 24057 divided by 121?
2187/11
What is 6832978 divided by 166658?
41
-18832 divided by -668
4708/167
-68 divided by 35030
-34/17515
-1 divided by 2874083
-1/2874083
Divide 5807 by 1965.
5807/1965
What is -1281353858 divided by 137234?
-9337
142352980 divided by -14235298
-10
Calculate -390424536 divided by -48803067.
8
Calculate 93422 divided by -9.
-93422/9
-9 divided by -813233
9/813233
What is -18275840 divided by 456896?
-40
What is -19927 divided by 105?
-19927/105
Calculate -3810067 divided by 5.
-3810067/5
-878480970 divided by -6
146413495
17640448 divided by -13696
-1288
Calculate -3 divided by 3368215.
-3/3368215
Divide -6954108 by 21.
-331148
-6 divided by 6143316
-1/1023886
0 divided by 4297747
0
302885088 divided by -528
-573646
Divide 14374808 by -3593702.
-4
What is -5972045 divided by 1194409?
-5
What is -142626250 divided by -8710?
16375
Divide -10014 by 1620.
-1669/270
Divide -45449320 by -
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let x = 0 + 2. Suppose 5*f = 10*f + 20. Let h be (f + 1 + 1)*-5. Solve -2*o + h = 4*b, 1 = -x*o + b - 9 for o.
-3
Suppose 26 - 71 = 5*t. Let p = t - -11. Solve p*s + 2 = -x + 4*x, 3*s - 5*x + 4 = 0 for s.
2
Let a be ((-21)/(-4))/(-21) - 178/(-8). Suppose 0*f + 4 = f. Solve a = g + 2*p + 3*p, f*g = 5*p - 12 for g.
2
Let t(c) = 16*c**2 - c**3 - 9 - 15 + 18*c + 9. Let v be t(17). Solve -v*j + 3*h = -23, -3*j - 8 = -0*j + 4*h for j.
4
Suppose -9*d + 145 = -53. Solve 3*y = q + 4*q + 22, 5*y = q + d for y.
4
Let q(h) = 10*h - 2. Let a be q(1). Suppose -c - 3*l - a = -6*c, 0 = 2*c - 2*l. Solve -3*k - k + 24 = -c*x, -4*k = 2*x for x.
-4
Suppose 3*j + 4*f + 8 = 0, -5*j - 2*f = -4*j + 6. Suppose 5*z + 4 - 44 = 0. Let p = -5 + z. Solve -j*o = -p*w + 12 + 8, 4*o + 20 = -3*w for o.
-5
Suppose 9 = 3*g - 8*v + 10*v, -g + 3 = 5*v. Solve -3*y = -2*y - g*k + 13, k = 4*y + 8 for y.
-1
Let l = -676 - -678. Let b = 8 - 3. Solve 2*y + b = -2*k + 1, -2*k = -l*y for y.
-1
Let d = 49 - 25. Suppose -3*t = t - d. Let v = 10 - t. Solve -5 = 5*r - v*a, a + 5 = -4*r + 4*a for r.
-5
Let y(c) be the first derivative of c**3/3 + 7*c**2 - 15*c + 7. Let v be y(-15). Solve 2*x = -n + 2*n + 2, v = x - 3*n + 9 for x.
3
Let f = 20 - 17. Solve 0 = 4*i + 2*j + 2, i + f = 4*j - 2*j for i.
-1
Suppose -5 + 41 = 2*v. Let t = -12 + v. Suppose 7*r = t*r + 4. Solve -2*w = -r*d - 14, -5*w + 0*w = -d - 17 for d.
-2
Suppose -2*g + 360 = -10*g. Let v = g + 47. Solve -5 = -p + 3*z, 4*z + 22 = -3*p - v for p.
-4
Suppose -5*n + 39*b = 34*b - 105, 42 = 2*n - 5*b. Solve -2*d + 16 = -4*t, 2*t = 2*d - 3*t - n for d.
-2
Suppose 9 = -3*m, 0 = 2*s + 3*m + 12 + 1. Let y be (-4)/6*(s - -5). Let r be (2 + y)*(-6)/(-24). Solve r*j = -5*j - 3*q - 25, 15 = -3*q for j.
-2
Let g be (-1)/(-1 + (-30)/(-35)) + -4. Solve g*f + 2*f + 5*v = 30, -5*v = -10 for f.
4
Let n(k) = 2. Let z(q) = 1. Let l(s) = n(s) - z(s). Let i(j) = 5*j - 16. Let u(o) = i(o) - 5*l(o). Let g be u(5). Solve -4*h - 13 = -r, g*r - 23 = -r - h for r.
5
Let w(l) = l**3 + 8*l**2 + 4*l - 10. Let x be w(-5). Suppose 0 = -4*j + x + 7. Suppose -z = 1 - 5. Solve -h = z*y - 11, 5*y = -3*h - j + 32 for y.
2
Let j be 1*((-1)/2 - -2)*2. Solve -3*b + 4 - 28 = -j*i, -i = b for b.
-4
Suppose 0 = l + 5*j + 23, -j = -9 + 14. Solve -t - q + l = -0, -3*q = 0 for t.
2
Suppose 3*p - 4*g - 9 = 0, -p - 16*g + 3 = -19*g. Solve -14 = -2*c + v, 7 = p*c + 12*v - 10*v for c.
5
Suppose 0 = -0*x - 5*x + 20. Let s(c) = -c - 10. Let n be s(-23). Suppose -3*b = 7 - n. Solve -x*g + 5*a = 7, 3 = -b*a + 1 for g.
-3
Suppose -5*g + 5*p - 2*p + 20 = 0, -4*p = 3*g - 12. Solve 0*v - 13 = -k - 4*v, -11 = g*k - 5*v for k.
1
Let z be ((-16)/5)/((-2)/5). Suppose -2*o = 2*o - z. Solve -10 = o*u, -3*u + 12 = -2*f - 5*u for f.
-1
Let n be (-546)/(-16) - 13/104. Suppose -16*h + 98 = n. Solve -2*j - 2*a - 6 = -20, 5*a - 33 = -h*j for j.
2
Let s(g) = g**3 + 33*g**2 + 33*g + 37. Let a be s(-32). Solve 13 = 5*i + 3*y, -a*i + 9 = -0*i - y for i.
2
Suppose -1 = -p - 4*v, -3*p + 2*v = 5 - 22. Suppose -4*m = -p*m + 2. Let k(c) = -c + 16. Let q be k(13). Solve q*d = 4*l - m - 13, -l = -2*d - 5 for d.
-1
Let z = -50 - -34. Let a(j) = 2*j**2 + 30*j - 7. Let y be a(z). Solve -3*u + 15 = 4*t, 0*t - 3*t = 5*u - y for t.
0
Suppose 0 = 4*g - 5*g. Suppose 0 = -g*i + 6*i - 18. Solve -i*f + 17 = -o, -4*f - 2*o = 3*o + 9 for f.
4
Suppose -2*v + 11 = -3*a, 3*v = 2*v + 2*a + 4. Suppose -v - 2 = -3*k. Solve k*h = -5*m + 20, -3*h = -h for m.
4
Suppose j = 0, 3*i + 2*j + 2*j - 9 = 0. Let l(g) be the first derivative of -g**2/2 - 2*g - 8. Let c be l(-4). Solve -12 = -z + i*h, -c*z - 7 = 2*z - h for z.
-3
Let r be -1 - -2*(-6)/(-4). Let p(f) = -2 + f**2 - 6*f + 3*f + 3*f**r + f. Let c be p(-1). Solve 2*n - 9 = -5*d, -n - c*n + 12 = 2*d for d.
1
Let g(t) be the first derivative of t**2/2 + 9*t - 7. Let m be g(-5). Solve -x + m*v - 4 = 4*x, 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
at is b(v(x))?
-25*x**2
Let x(y) = -70*y + 70*y + 3*y**2. Let q(o) = -3*o. Calculate x(q(r)).
27*r**2
Let s(c) = 6*c**2 + 25*c. Let y(u) = -4*u. Calculate y(s(i)).
-24*i**2 - 100*i
Let b(q) = -6*q**2. Let f(i) = -i - 3*i + 2*i. Determine b(f(o)).
-24*o**2
Let k(j) = -14*j - 1. Let i(p) = p + 1. Let r(c) = i(c) + k(c). Let h(o) = -2*o**2. Determine r(h(x)).
26*x**2
Let z(x) = -x + 63. Let v(g) = -2*g**2. What is z(v(c))?
2*c**2 + 63
Let m(u) = -233*u. Let a(g) = -g**2. Calculate m(a(n)).
233*n**2
Let x(c) = -2*c. Let f(n) = 8*n**2 - n**2 - 2*n**2 - n**2. Give x(f(a)).
-8*a**2
Let c(f) = 4*f**2. Let u(x) be the second derivative of x**3/3 + x. Give u(c(j)).
8*j**2
Let g(n) = 2*n**2. Let m be (-3)/((-1)/(-2) + -2). Let u(k) be the third derivative of k**m + 0*k + 1/8*k**4 + 0 + 0*k**3. What is g(u(a))?
18*a**2
Let q(k) be the second derivative of 5*k**3/3 - 11*k. Let r(z) = z. Give q(r(d)).
10*d
Let k(u) = -2*u. Let x be 1 + (-6)/(12/(-4)). Let b(d) be the third derivative of -1/24*d**4 + 0*d + 2*d**2 + 0 + 0*d**x. Determine b(k(i)).
2*i
Let g(q) = 2*q**2. Let v(a) be the second derivative of -a**5/120 - a**3/3 - a. Let p(j) be the second derivative of v(j). Determine p(g(y)).
-2*y**2
Suppose 0 = 6*l - 2*l - 20. Let r(g) = -7*g + 5. Let w(x) = 22*x - 16. Let d(t) = l*w(t) + 16*r(t). Let f(c) = -3*c**2. Give f(d(h)).
-12*h**2
Let h(i) = -732*i**2. Let y(j) = 3*j. What is h(y(x))?
-6588*x**2
Let j(t) = -53*t - 6. Let d(k) = -8*k. Give d(j(i)).
424*i + 48
Let x(h) = -2*h**2 - 3*h**2 + 6*h**2. Suppose 0 = 4*v + 5*r + 17, v - 5*r = -10*r - 23. Let f(k) = -4*k**2 - k**v + 4*k**2. Determine x(f(d)).
d**4
Let i be (2/2)/((-4)/(-12)). Let s(b) = -b**2 + i*b**2 - 4*b**2. Let z(h) = -2*h**2. Determine s(z(r)).
-8*r**4
Let g(x) = 4004*x**2. Let m(f) = -f. Determine g(m(b)).
4004*b**2
Let w(s) = 11*s. Let x(f) = -7*f. Calculate x(w(g)).
-77*g
Let o(g) = -g. Let d(z) = -5*z**2 + 8*z - 8. Suppose 0 = -0*a - a - 8. Let w(r) = -3*r**2 + 5*r - 5. Let l(s) = a*w(s) + 5*d(s). Determine o(l(y)).
y**2
Let r(i) = -4*i**2 + 5*i. Let x(g) = 10*g**2 - 12*g. Let t(v) = 12*r(v) + 5*x(v). Let j(y) = 4 - 1 + 3*y**2 - 3. Determine j(t(p)).
12*p**4
Let z(j) = 1. Let k(p) = p + 3. Let l = -2 - -3. Let i(h) = l*k(h) - 3*z(h). Let w(q) be the first derivative of -q**2 - 1. Give i(w(n)).
-2*n
Let v(h) = -h + 5*h - 7*h. Suppose 2*z + q = 3*z + 3, 2*q - 6 = -5*z. Let a(x) = -4*x + 3*x**2 + 4*x + z*x. Determine a(v(k)).
27*k**2
Let v(c) be the second derivative of 0 - 4*c + 0*c**2 - 1/3*c**3. Let u(y) = -5*y. Calculate u(v(t)).
10*t
Let g(w) = -4*w. Let p(y) = y**2 - y + 1. Let a(q) = q - 1. Let r(l) = -3*a(l) - 3*p(l). Give g(r(c)).
12*c**2
Let k(b) = b. Let l(v) = -6*v**2 + 3*v + 3. Let s(f) = -f**2 + f + 1. Let p(h) = l(h) - 3*s(h). Calculate p(k(o)).
-3*o**2
Let h(j) = 2*j**2. Let l(z) be the first derivative of 3 + 0*z + 5/2*z**2. Calculate l(h(v)).
10*v**2
Let a(j) = j. Let b(s) = -201*s**2. Give b(a(v)).
-201*v**2
Let a(v) = 22*v. Let z(k) = 2*k. Calculate z(a(o)).
44*o
Let n(p) be the second derivative of p**3/6 - 64*p. Let b(y) = y**2 - 19. Calculate n(b(s)).
s**2 - 19
Let n = 9 + -6. Let t = 7 - n. Let w(q) = q + 4. Let k(j) = -6*j - 21. Let a(d) = t*k(d) + 21*w(d). Let r(l) = l. Give a(r(c)).
-3*c
Let l(x) be the third derivative of 3*x**5/20 - 17*x**2. Let w(u) = 2*u. What is l(w(v))?
36*v**2
Let q(z) = 5*z. Let t(s) = -s**3 - 7*s**2 - 7*s + 2. Let o be t(-6). Let m(y) = o + y**2 - 8. Calculate m(q(w)).
25*w**2
Let z(r) = -r + 1. Let o(n) = -n**2 - 5*n + 5. Let b(m) = o(m) - 5*z(m). Let g(d) = 5*d. What is g(b(f))?
-5*f**2
Let w(s) = -23*s**2 - 2*s - 8. Let g(c) = c**2 + c + 2. Let o(b) = 4*g(b) + w(b). Let k(v) = -3*v. Calculate k
|
{
"pile_set_name": "DM Mathematics"
}
|
4*p = 20. Let w = 9 - -2. What is the third derivative of -48*z**5 + 45*z**5 - 3*z**2 + w*z**c wrt z?
-180*z**2
Find the third derivative of 1744758*q + 10*q**3 - 2 - 66*q**2 - 1744775*q + 14*q**4 + 13*q**4 wrt q.
648*q + 60
Suppose 4*i + 11*y = 8*y + 339, 0 = -2*i + 4*y + 164. What is the third derivative of 21 - 5*h**2 - 18*h**3 + 4*h**2 + 12 + i*h**3 wrt h?
396
Let k be (-32)/(-36) - (-754)/468. Let q(l) be the first derivative of -8 - k*l**2 + 0*l - 3/2*l**4 + 0*l**3. Find the second derivative of q(w) wrt w.
-36*w
Let y(v) = v - 4. Let c be y(6). Let u(t) = t**2 + 8*t - 29. Let m be u(-11). Find the third derivative of -4*h**3 - m*h**3 - 2*h**3 + 7*h**c wrt h.
-60
Let o = 254 + -252. Find the third derivative of v**3 - 2*v**5 - 13*v**5 + 74*v**o + 39*v**2 - 37*v**2 wrt v.
-900*v**2 + 6
Let u(h) be the second derivative of 0*h**2 + 0*h**3 + 73/12*h**4 - 21/20*h**5 + 42*h + 0. Find the third derivative of u(y) wrt y.
-126
Let t = 42 - 74. Let x = 35 + t. What is the third derivative of 0*g - 26*g**2 - 6*g**3 + 30*g**x + 0*g wrt g?
144
Let p(l) = 104*l - 99. Let y(i) = 12 + i + 90 - 58*i - 45*i. Let k(u) = 3*p(u) + 4*y(u). Differentiate k(q) wrt q.
-96
Suppose 60*g - 3013 = -433. What is the derivative of -57 - 183 + 26 + 69*u + 53*u + g*u wrt u?
165
Let k(y) be the first derivative of -8049*y**4/4 - 1649*y**3 + 9665. Find the third derivative of k(h) wrt h.
-48294
Let g(i) be the second derivative of 45*i + 43/2*i**2 + 0 + 35/6*i**3 - 1/6*i**4. Find the first derivative of g(y) wrt y.
-4*y + 35
Let g(i) be the first derivative of 8*i**6/3 + 5*i**4/2 - 1213*i**3/3 - 1066. What is the third derivative of g(c) wrt c?
960*c**2 + 60
Let t(w) = 4*w**3 + w**2 - w + 1. Let i be t(1). Find the third derivative of -2*c**5 - 2*c**3 - 5*c**2 + 18*c**i + c**5 - 21*c**2 wrt c.
1020*c**2 - 12
Let l(j) be the first derivative of 618*j - 1149*j - 17*j**2 + 61 + 128 + 603*j. What is the derivative of l(p) wrt p?
-34
Let h(p) = 4*p + 111. Let i be h(-10). Find the second derivative of i*f**5 - 77 + f + 75 + 5*f wrt f.
1420*f**3
Let c(d) be the third derivative of -86*d**5/15 - d**4/12 - 417*d**3/2 + 237*d**2. Differentiate c(i) with respect to i.
-688*i - 2
Suppose -6*w = -2*w + 32. Let f(n) = n**3 + 10*n**2 + 7*n. Let i be f(w). Differentiate 34 - i + 32 + 7*o wrt o.
7
Let x(a) be the first derivative of 0*a - 175 + 19/4*a**4 - 6/5*a**5 + 77*a**3 + 0*a**2. What is the third derivative of x(u) wrt u?
-144*u + 114
Let f(m) = 6*m**2 + m + 518. Let p be f(0). Differentiate -89*a**2 - p*a**4 + 42*a**2 + 517*a**4 - 3 with respect to a.
-4*a**3 - 94*a
Let t(r) = -2*r**2 - 7*r + 7. Let l be t(-4). Differentiate 35 + m**2 + l - 17*m + 56 with respect to m.
2*m - 17
Let l be (0 + 1)*-1*(4 + -6). What is the third derivative of 112*o**2 + 2*o**5 + 0 + 0 + 2*o**4 - 110*o**l + 76*o wrt o?
120*o**2 + 48*o
Let s(u) = 5*u**2 - 4*u - 1. Let n(m) = 9*m**3 - 25*m**2 + 17*m + 7452. Let c(f) = n(f) + 6*s(f). What is the first derivative of c(h) wrt h?
27*h**2 + 10*h - 7
What is the third derivative of 3 - 359*n**3 + 9 - 33*n**2 + 25*n - 56*n + 31*n wrt n?
-2154
Suppose 4*f = -2*f + f. Suppose 2*v - 5*v - 5 = d, -5*d - v + 17 = f. What is the derivative of -7*c**4 - 12 - 13*c**d - 1 wrt c?
-80*c**3
Let h(a) be the second derivative of -56*a - 1/6*a**3 + 2 + 0*a**4 + 0*a**5 + 0*a**6 + 31*a**2 - 46/21*a**7. Find the second derivative of h(f) wrt f.
-1840*f**3
Let p(h) = 4*h**3 - 5*h**2 + 9*h - 25. Let m be p(4). Find the third derivative of -139*y**3 - 139*y**3 + m*y**5 - 119*y**2 + 278*y**3 wrt y.
11220*y**2
Let k(z) be the first derivative of 431*z**6/3 - 2*z**5/5 + 21*z**2 + 17*z + 2023. Find the second derivative of k(i) wrt i.
17240*i**3 - 24*i**2
Let f(x) be the second derivative of 11/12*x**4 - x - 3 + 35/2*x**2 - 1/2*x**3. What is the derivative of f(v) wrt v?
22*v - 3
Let k(b) be the third derivative of b**6/24 - 73*b**5/15 + b**4/6 + 337*b**3/6 + 19*b**2 + 18*b. Find the second derivative of k(l) wrt l.
30*l - 584
Suppose 5*r = 2*t + 94, 3*r - 2*t - 34 = 20. Differentiate 0*c - 3*c + r*c - 74 - 15*c**2 - 21*c wrt c.
-30*c - 4
Let a(d) = 2291*d**2 + 157*d - 1. Let k(b) = 2288*b**2 + 158*b - 2. Let t(y) = -5*a(y) + 6*k(y). Find the second derivative of t(v) wrt v.
4546
Let l be -7 + 10 + -1 + 3 + -5. Let p(n) be the first derivative of l*n**4 - 21 + 0*n**3 - 13/2*n**2 + 0*n - 1/5*n**5. Find the second derivative of p(z) wrt z.
-12
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 4?
3
What is the remainder when 167 is divided by 3?
2
Calculate the remainder when 413 is divided by 52.
49
Calculate the remainder when 412 is divided by 220.
192
What is the remainder when 2507 is divided by 81?
77
What is the remainder when 254 is divided by 38?
26
Calculate the remainder when 507 is divided by 57.
51
What is the remainder when 716 is divided by 24?
20
What is the remainder when 86 is divided by 22?
20
Calculate the remainder when 1585 is divided by 13.
12
What is the remainder when 137 is divided by 20?
17
What is the remainder when 676 is divided by 37?
10
Calculate the remainder when 151 is divided by 23.
13
What is the remainder when 109 is divided by 43?
23
Calculate the remainder when 1747 is divided by 70.
67
What is the remainder when 359 is divided by 53?
41
What is the remainder when 138 is divided by 70?
68
What is the remainder when 261 is divided by 154?
107
Calculate the remainder when 2258 is divided by 1112.
34
Calculate the remainder when 321 is divided by 65.
61
Calculate the remainder when 359 is divided by 19.
17
Calculate the remainder when 535 is divided by 266.
3
Calculate the remainder when 13728 is divided by 31.
26
Calculate the remainder when 37 is divided by 33.
4
What is the remainder when 3041 is divided by 44?
5
What is the remainder when 301 is divided by 102?
97
Calculate the remainder when 633 is divided by 55.
28
What is the remainder when 13565 is divided by 57?
56
Calculate the remainder when 420 is divided by 130.
30
What is the remainder when 358 is divided by 36?
34
What is the remainder when 42 is divided by 12?
6
What is the remainder when 361 is divided by 18?
1
What is the remainder when 279 is divided by 116?
47
Calculate the remainder when 2380 is divided by 20.
0
What is the remainder when 1424 is divided by 14?
10
Calculate the remainder when 73 is divided by 14.
3
What is the remainder when 140 is divided by 54?
32
What is the remainder when 156 is divided by 29?
11
What is the remainder when 255 is divided by 5?
0
What is the remainder when 903 is divided by 181?
179
What is the remainder when 987 is divided by 139?
14
Calculate the remainder when 243 is divided by 101.
41
What is the remainder when 151 is divided by 81?
70
Calculate the remainder when 61 is divided by 17.
10
Calculate the remainder when 653 is divided by 109.
108
Calculate the remainder when 201 is divided by 29.
27
What is the remainder when 165 is divided by 29?
20
What is the remainder when 577 is divided by 117?
109
What is the remainder when 1545 is divided by 219?
12
Calculate the remainder when 2417 is divided by 32.
17
What is the remainder when 600 is divided by 121?
116
What is the remainder when 58 is divided by 23?
12
What is the remainder when 8403 is divided by 9?
6
What is the remainder when 10755 is divided by 20?
15
What is the remainder when 179 is divided by 89?
1
Calculate the remainder when 2335 is divided by 1152.
31
Calculate the remainder when 107 is divided by 12.
11
Calculate the remainder when 1996 is divided by 166.
4
Calculate the remainder when 118 is divided by 17.
16
Calculate the remainder when 3304 is divided by 19.
17
What is the remainder when 2720 is divided by 46?
6
What is the remainder when 552 is divided by 50?
2
What is the remainder when 13055 is divided by 192?
191
Calculate the remainder when 2289 is divided by 151.
24
What is the remainder when 346 is divided by 29?
27
Calculate the remainder when 369 is divided by 10.
9
What is the remainder when 10545 is divided by 137?
133
Calculate the remainder when 32 is divided by 28.
4
Calculate the remainder when 455 is divided by 51.
47
Calculate the remainder when 774 is divided by 252.
18
Calculate the remainder when 8279 is divided by 28.
19
Calculate the remainder when 263 is divided by 19.
16
Calculate the remainder when 1494 is divided by 23.
22
Calculate the remainder when 50 is divided by 39.
11
What is the remainder when 22411 is divided by 14?
11
Calculate the remainder when 417 is divided by 84.
81
Calculate the remainder when 28 is divided by 25.
3
What is the remainder when 43 is divided by 10?
3
What is the remainder when 11357 is divided by 247?
242
What is the remainder when 658 is divided by 240?
178
Calculate the remainder when 188 is divided by 31.
2
Calculate the remainder when 1407 is divided by 8.
7
Calculate the remainder when 41 is divided by 7.
6
Calculate the remainder when 513 is divided by 31.
17
What is the remainder when 586 is divided by 54?
46
What is the remainder when 634 is divided by 29?
25
What is the remainder when 188 is divided by 46?
4
What is the remainder when 836 is divided by 20?
16
Calculate the remainder when 616 is divided by 49.
28
Calculate the remainder when 297 is divided by 51.
42
What is the remainder when 1002 is divided by 17?
16
Calculate the remainder when 1022 is divided by 31.
30
Calculate the remainder when 538 is divided by 40.
18
What is the remainder when 1781 is divided by 81?
80
Calculate the remainder when 4985 is divided by 4.
1
Calculate the remainder when 323 is divided by 104.
11
What is the remainder when 88 is divided by 42?
4
Calculate the remainder when 45 is divided by 34.
11
Calculate the remainder when 12 is divided by 7.
5
What is the remainder when 45 is divided by 32?
13
Calculate the remainder when 428 is divided by 215.
213
Calculate the remainder when 280 is divided by 57.
52
What is the remainder when 722 is divided by 123?
107
What is the remainder when 29051 is divided by 36?
35
What is the remainder when 86 is divided by 12?
2
Calculate the remainder when 376 is divided by 15.
1
Calculate the remainder when 65 is divided by 33.
32
What is the remainder when 807 is divided by 369?
69
Calculate the remainder when 20710 is divided by 11.
8
Calculate the remainder when 247 is divided by 38.
19
What is the remainder when 75 is divided by 16?
11
Calculate the remainder when 2152 is divided by 126.
10
Calculate the remainder when 145 is divided by 42.
19
What is the remainder when 156 is divided by 146?
10
Calculate the remainder when 29 is divided by 23.
6
Calculate the remainder when 216 is divided by 91.
34
Calculate the remainder when 526 is divided by 17.
16
Calculate the remainder when 4298 is divided by 23.
20
What is the remainder when 48 is divided by 30?
18
What is the remainder when 33 is divided by 7?
5
What is the remainder when 1239 is divided by 32?
23
Calculate the remainder when 47 is divided by 34.
13
What is the remainder when 61 is divided by 38?
23
What is the remainder when 698 is divided by 100?
98
Calculate the remainder when 243 is divided by 217.
26
What is the remainder when 213 is divided by 73?
67
Calculate the remainder when 1657 is divided by 119.
110
What is the remainder when 201 is divided by 180?
21
What is the remainder when 112 is divided by 57?
55
What is the remainder when 3078 is divided by 143?
75
What is the remainder when 6388 is divided by 11?
8
Calculate the remainder when 98 is divided by 5.
3
What is the remainder when 58036 is divided by 127?
124
Calculate the remainder when 1603 is divided by 107.
105
Calculate the remainder when 1883 is divided by 65.
63
What is the remainder when 179 is divided by 179?
0
What is the remainder when 8913 is divided by 13?
8
What is the remainder when 3077 is divided by 154?
151
What is the remainder when 609 is divided by 12?
9
Calculate the remainder when 3258 is divided by 30.
18
What is the remainder when 853 is divided by 96?
85
What is the remainder when 70 is divided by 17?
2
Calculate the remainder when 116 is divided by 31.
23
Calculate the remainder when 242 is divided by 9.
8
What is the remainder when 363 is divided by 36?
3
Calculate the remainder when 162 is divided by 11.
8
What is the remainder when 607 is divided by 38?
37
Calculate the remainder when 3872 is divided by 58
|
{
"pile_set_name": "DM Mathematics"
}
|
. Which is the closest to -11? (a) i (b) 0 (c) q
a
Let u = 274/1119 - -33/373. Which is the nearest to -3/7? (a) 16 (b) -2 (c) u (d) -0.5
d
Let n = -7.83 - 0.17. Let w = 10.9 + n. Let o = w - 3.4. What is the nearest to 1 in o, 1, 3?
1
Let u = -5183 - -5236. What is the nearest to -1 in -0.07, -1/7, u, -1?
-1
Let i = -81.42 + 81. Let x = -7.82 - i. Let z = x - -6.4. Which is the closest to z? (a) 0.4 (b) -0.2 (c) 16
b
Let r be (1/2)/((-11)/72). Let w = r + 274/77. Let q = 4757 + -4764. Which is the closest to -1/4? (a) 3/7 (b) q (c) w
c
Suppose -7*a = 3*a - 20. Let y(g) = -g**3 + 3*g**2 - 5*g + 4. Let p be y(a). What is the nearest to 1 in 1, 1/11, p?
1
Let h = -4.2 + 3.4. Let y be (104/3094)/(4/14). Which is the nearest to h? (a) 0.4 (b) y (c) -0.1
c
Let p be ((-45)/(-200))/((-48)/15 - -2). Let j = p - -47/80. Which is the nearest to -2/5? (a) 0.5 (b) 0.1 (c) j
b
Let p = -3.14 - -0.14. Suppose 7 = -2*k + g, 4 = g + 1. Which is the closest to k? (a) p (b) 2/5 (c) 13
a
Suppose 10146*p = 10072*p + 1036. Which is the nearest to -39? (a) p (b) 4 (c) 0.3
c
Suppose 0 = -z + l + 2, 21*z - 25*z - 28 = 5*l. Let y = -1.2 - -1.4. Which is the closest to y? (a) -4 (b) -0.3 (c) -3 (d) z
b
Let r = 32.66 + -32.77. Which is the closest to -1? (a) 4/9 (b) r (c) -0.03
b
Suppose -73*v + 8 = 23 - 234. What is the nearest to 1.6 in -1, -2, v, 2/3?
2/3
Let j = 405 + -406. Which is the nearest to -1/3? (a) j (b) 35 (c) 3/5
a
Let a = 5.037 - 0.037. Let q be (-1 - -4)/(3 - 2). What is the closest to -2/107 in q, a, -3?
-3
Let k be 9 + (-8)/((-64)/(-88)). Let j = 12 + -17. What is the closest to 2 in j, k, -1?
-1
Let q = 11801 + -11799. Which is the closest to q? (a) -1/4 (b) -6 (c) -1 (d) 2/21
d
Let t = -1.2 + 1. Let w = -111.0364 - -0.0364. Let v = w + 110.96. Which is the closest to v? (a) -2/5 (b) t (c) -3
b
Suppose 4*j = -k - 29, -80 + 15 = -5*k + 15*j. Which is the nearest to 0.1? (a) -1/5 (b) 2 (c) k (d) -32
a
Let f = -25.924 - -26. Let i = f - 7.576. Let d = 7.5 + i. What is the nearest to -1/3 in d, -1, 4?
d
Suppose s - 58 = -3*n - s, 0 = -3*n + 2*s + 38. Suppose -13 = 3*a - n. What is the closest to a in -2/3, -1/3, -1?
-1/3
Let m = 4179 + -4177. Which is the closest to -13/4? (a) 3/2 (b) 43 (c) m
a
Let b be 4/(-6)*-2*5*(-21)/280. Let d = -27/7 + 223/56. What is the nearest to 1 in b, d, 0.5?
0.5
Let j = 11 + -11.4. Let m be (5/(-5))/14*63/(-18). What is the nearest to -1 in m, j, -3, 2?
j
Let z = -8.8558 + 1.0558. Which is the closest to z? (a) 0.1 (b) 3 (c) -3
c
Let q = 824.2 - 825.2. Which is the closest to 0.1? (a) -4 (b) q (c) -1/3 (d) 60/11
c
Suppose 0 = -0*i + 4*i + 8. Let x = 6 - 6. Suppose x*k = -7*k + 3*k. Which is the nearest to k? (a) i (b) -0.5 (c) 0
c
Let g = -1019.3 + 1082.3. What is the closest to 1 in -3, 0.5, g, -2?
0.5
Let y = 134 - 134. Let l = 2.5 + -2.4. Which is the closest to l? (a) -13/3 (b) -2 (c) y (d) 0.3
c
Let z(y) = -y**2 - 4*y + 13. Let d = -61 + 63. Let f be z(d). Suppose g + 3 = -3*v, 3*v = 3*g - 14 - 1. Which is the closest to v? (a) 0.3 (b) f (c) -1
c
Let i = 49/85 + -3/17. Let k = 0.53562 - 0.53562. Suppose -4*g = 3*x - 5, 2*x = 4*x + g + 5. Which is the closest to i? (a) x (b) k (c) 0.01
c
Suppose 2*o - 6*z + 2*z - 40 = 0, -2*z - 84 = -5*o. Suppose -o + 100 = -3*b. Let t be (b/(-294))/(2/(-6)). What is the closest to t in -4, -4/9, -0.1?
-4/9
Let k = 1067 + -6401/6. Let g = -143 + 167. What is the closest to 1 in -1, g, 4, k?
k
Let l be 5/(-4) + (-2013)/(-1188). Let j be (-11)/(-15) - (-174)/(-1305). What is the closest to -10 in -1, -4/3, j, l?
-4/3
Let p = 2.06655 - 0.06655. What is the nearest to 0.06 in p, 37, -2/5?
-2/5
Let j = -9.98 - -9.88. Let k = 0.098 - -6.902. Which is the closest to j? (a) -3 (b) 2/3 (c) k
b
Let y = 4/9 + 19/18. Let k = -606 - -600. Which is the nearest to k? (a) 2 (b) y (c) 0.5
c
Let s = -0.3 + 0.27. Let p = -2.03 - s. Let g = -0.8 - 3.2. What is the closest to -1/3 in g, 2, p?
p
Let j = -1.61 + 0.953. Let o = j + 0.557. What is the nearest to 1 in o, 3/7, -0.3?
3/
|
{
"pile_set_name": "DM Mathematics"
}
|
ming i is positive.
i**(-101/10)
Simplify (u**11*u)**(1/15) assuming u is positive.
u**(4/5)
Simplify (u*((u/u**(9/4))/u)/u)/u**5 assuming u is positive.
u**(-29/4)
Simplify (k*k/k**(-1/6))**23/(((k*(k**(1/2)/k)/k)/k)/k**1) assuming k is positive.
k**(157/3)
Simplify i/(i**(1/26)/i)*i**(-4/17) assuming i is positive.
i**(763/442)
Simplify ((y**0/y)/(y*y/(y*y*y*y**(-3)*y)*y))/(y*y**(-1/3)*y*y)**11 assuming y is positive.
y**(-97/3)
Simplify (d**1)**3/((d/d**6)/d**(-1/6)) assuming d is positive.
d**(47/6)
Simplify (k**(-1/6))**16*k**(-8/7)*k**(-2/3) assuming k is positive.
k**(-94/21)
Simplify (a**23)**13 assuming a is positive.
a**299
Simplify (w**(2/3))**(6/11)/(w**(2/5))**(1/6) assuming w is positive.
w**(49/165)
Simplify (k/k**(2/7))/((k*k**(-7))/k)*(k*k**(2/15))/((k**9*k)/k) assuming k is positive.
k**(-16/105)
Simplify x*x**6/x*((x**(-2/19)*x)/x)/x*(x**0)**(-2/89) assuming x is positive.
x**(93/19)
Simplify (k**0)**47*(((k*k**1)/k)/k)**7 assuming k is positive.
1
Simplify (o**(-11)/o)**(-25/2) assuming o is positive.
o**150
Simplify ((k*k/(k**(1/9)*k))**(6/7))**(-3) assuming k is positive.
k**(-16/7)
Simplify (h/h**3*h*h*h**(1/2))/(h**(1/3)*h)**(1/58) assuming h is positive.
h**(83/174)
Simplify ((y*y/(y**(-2/3)*y)*y)**(-16))**(-16/9) assuming y is positive.
y**(2048/27)
Simplify (d*d**7)/(d*d**28/d) assuming d is positive.
d**(-20)
Simplify (j**(-2/3))**(-6/11)*(j*j**(-2/5))**(2/5) assuming j is positive.
j**(166/275)
Simplify (w**(-13)/(w/w**(1/4)))**(-4/13) assuming w is positive.
w**(55/13)
Simplify ((p*p/(p/p**20))/(p*p/(p/p**(-1/12)*p)))**(-22) assuming p is positive.
p**(-2783/6)
Simplify (n**(-1)*n/n**(-2))/(n/(n**(-5)*n)*n*n**(-4/3)/n) assuming n is positive.
n**(-5/3)
Simplify (z/z**(2/9))/z**6*(z*z**(-1/5))/z**(2/13) assuming z is positive.
z**(-2677/585)
Simplify (s**1)**(-14)*s**(-1/10)/s**(-3/7) assuming s is positive.
s**(-957/70)
Simplify ((q/(q/q**(1/2)))/q)**(-2)*((q/q**(-2/3))/q)**24 assuming q is positive.
q**17
Simplify ((v*v**(-1/6)*v)/v**(1/3))**(-2/43) assuming v is positive.
v**(-3/43)
Simplify (q**(-1))**(5/8)*q*q**3*q*q*q*q**(-3)/q*q assuming q is positive.
q**(27/8)
Simplify s**(-1)*s/(s*s/(s*s*(s/(s*s**1))/s))*(s/(((s/s**(1/4))/s)/s))/(s*s**6) assuming s is positive.
s**(-27/4)
Simplify (p**(-3/11))**(3/28) assuming p is positive.
p**(-9/308)
Simplify ((u**(-9)*u)/(u/((u*u/u**(1/5))/u)))**(-24) assuming u is positive.
u**(984/5)
Simplify s**(1/21)*s**(-6) assuming s is positive.
s**(-125/21)
Simplify z/(z**(-2/91)/z)*z**(-14) assuming z is positive.
z**(-1090/91)
Simplify o*o/o**1*(((o*(o*o/o**(8/5))/o*o)/o)/o)/o assuming o is positive.
o**(-3/5)
Simplify (z**(-1)/(z*z/(z/(z/(((z/(z/((z**(-1/2)*z)/z*z)))/z)/z)))*z))**8 assuming z is positive.
z**(-44)
Simplify (h*h/(h*h*h*h**(-2/3)*h))**(-1)/(h*(h*h**1*h)/h*h/(h*(((h*h/(h/h**(-1)))/h)/h)/h)) assuming h is positive.
h**(-14/3)
Simplify (y/(y/(y/(y/(y**(-2)/y)))))**(-1/38)*(y/y**1)/(y**9*y) assuming y is positive.
y**(-377/38)
Simplify (k*k/(k*k**(2/7))*k)/k**(-2/13)*k**(-1)/(k**1/k*k) assuming k is positive.
k**(-12/91)
Simplify (m**3/m*m*(m*m*m**(1/3)*m)/m)/(m**(-3/8)*m*(m/((((m/((m*m**0)/m))/m)/m*m)/m))/m) assuming m is positive.
m**(89/24)
Simplify (a**(2/7)/a*a**0)/(a/((a**(-1)*a*a)/a)*a*a**6) assuming a is positive.
a**(-61/7)
Simplify ((t**3/t)/t**4)/((t**1/t*t)/(t*t*t*t/(t*t**(4/5)))) assuming t is positive.
t**(-4/5)
Simplify (z/(z**(-2/7)*z)*z**(4/9))**(-11/5) assuming z is positive.
z**(-506/315)
Simplify y**(5/2)/(y/(y**(3/17)/y)*y) assuming y is positive.
y**(-11/34)
Simplify (a**(-2/7)*a)**(-33/5) assuming a is positive.
a**(-33/7)
Simplify (t/(t/t**17))/((t/(t/(t*t/(t/(t*t/t**(2/73)))*t)))/t) assuming t is positive.
t**(1024/73)
Simplify ((f**(1/2))**(-18))**(-17/3) assuming f is positive.
f**51
Simplify (c/(c/((c/(c/((c/(c**1/c))/c)))/c)))**(-16)*(((c*c**(10/3)*c)/c*c*c)/c)/c**(-6) assuming c is positive.
c**(82/3)
Simplify (l**(1/3)/(l*l**(2/25)))**(1/17) assuming l is positive.
l**(-56/1275)
Simplify (b**(-3/8)*b/(b*b*b/b**(-11)))**40 assuming b is positive.
b**(-535)
Simplify ((c*c**(-2/41))/(c/c**(2/3)))**(-1/4) assuming c is positive.
c**(-19/123)
Simplify (((k*k*k**(1/5))/k)/(k/(k/k**(-2/3))))/(k/k**(-3)*k/(k/(k/(k/k**(-3/5))))) assuming k is positive.
k**(-23/15)
Simplify n**6/((n/n**5)/n) assuming n is positive.
n**11
Simplify s**(1/9)/s*s*s**(1/3)*s**4*s*(s*s*s*s**(1/2)*s)/s assuming s is positive.
s**(161/18)
Simplify t/(((t/(t/((t/(t/(((t/(t**(-15)/t))/t)/t)))/t)))/t)/t)*t**14 assuming t is positive.
t**3
|
{
"pile_set_name": "DM Mathematics"
}
|
e third derivative of -w*f**2 + 3*f**6 - 3 + 3 wrt f.
360*f**3
Let d = -11 + 17. What is the second derivative of -6*j + 6*j + d*j**2 - 5*j wrt j?
12
Let m(f) be the second derivative of -9*f**6/5 - 11*f**3/6 - 2*f + 3. What is the second derivative of m(d) wrt d?
-648*d**2
Let r(m) = 29*m**2 - 5*m - 26. Let u(z) = -14*z**2 + 3*z + 13. Let w(f) = 3*r(f) + 5*u(f). Differentiate w(j) wrt j.
34*j
Suppose 0 = -4*g + 2*g + 4. What is the second derivative of -4*a**5 + 9*a**5 - 5*a - g*a wrt a?
100*a**3
Let l(p) be the second derivative of 0 + 2*p**2 + p + 1/5*p**5 + 0*p**3 + 0*p**4. What is the derivative of l(k) wrt k?
12*k**2
Let h = -7 + 8. What is the derivative of -19*k**3 + 4*k**4 - 2*k**4 - h + 19*k**3 wrt k?
8*k**3
Find the third derivative of -11*f**4 + 21*f**4 - f**2 - 10*f**2 wrt f.
240*f
Let y be -1*1 - (-5 - -4). Suppose y = 2*q + 6, -2*o + 4*q + 9 = -5*o. Differentiate -2*f**4 - o + 3*f**4 - 1 with respect to f.
4*f**3
Let b(j) = j + 1. Let i(a) = -a - 4. Let f(v) = 3*b(v) - i(v). Differentiate f(r) wrt r.
4
Suppose -3*k + 20 = 2*k. Suppose -3*z + 0*b = -3*b - 15, -k*z - 3*b = 15. Differentiate z - 4 - 2*r + 2 wrt r.
-2
Let d(r) = r**2 - 4*r + 6. Let m be d(5). Differentiate -m*x**2 - 83*x + 8 + 83*x wrt x.
-22*x
Differentiate 24 + 3*y**3 + 15*y**4 - 3*y**3 - 34*y**4 wrt y.
-76*y**3
Suppose 7 - 19 = -4*h. Suppose 5*k = m - 4*m, -m = -h*k. Find the third derivative of -r**2 - r**5 - r**5 + k*r**5 wrt r.
-120*r**2
Let q(m) be the first derivative of 0*m**3 + 3/5*m**5 + 3 + 0*m**2 + 0*m**4 - 6*m. What is the first derivative of q(g) wrt g?
12*g**3
Let y(j) be the second derivative of 0*j**3 - 3/2*j**2 + 0*j**5 + 6*j + 0*j**4 + 1/10*j**6 + 0. Differentiate y(u) wrt u.
12*u**3
Let p(n) = -n**4 - n**3 + n**2 - n + 1. Let f(s) = -66*s**6 + 5*s**4 + 5*s**3 + 5*s - 5. Let x(i) = -f(i) - 5*p(i). Find the third derivative of x(t) wrt t.
7920*t**3
Let v(i) be the third derivative of 3*i**5/10 + 7*i**4/8 + 2*i**2. Find the second derivative of v(q) wrt q.
36
Let q(u) be the third derivative of 0*u**3 + 0*u**6 + 0*u - 1/12*u**4 - u**2 + 0*u**5 + 0 - 1/105*u**7. Find the second derivative of q(p) wrt p.
-24*p**2
Let k(a) be the first derivative of -19*a**5/5 - 10*a**3/3 - 6. Find the third derivative of k(c) wrt c.
-456*c
Let n(s) = 7*s**2 + 4*s + 3. Let c(p) = 133*p**2 + 77*p + 56. Let t(i) = 4*c(i) - 77*n(i). Differentiate t(b) with respect to b.
-14*b
Let x(t) = -5*t - 3. Let m be x(-1). Suppose -4*q - 9 - 7 = 0, -4*w - 4*q = 4. What is the second derivative of 4*s**3 - m*s + 4*s + 0*s**w wrt s?
24*s
Let v(d) = 4*d**2 - 22*d + 3. Let s(a) = -8*a**2 + 43*a - 5. Let k(o) = -3*s(o) - 5*v(o). Find the second derivative of k(c) wrt c.
8
Let t(k) = -9*k**2 - 13*k. Let w(a) = 17*a**2 + 25*a. Let x(y) = -11*t(y) - 6*w(y). What is the second derivative of x(v) wrt v?
-6
Find the second derivative of -21*d - 11*d**5 - 245*d**2 + 245*d**2 wrt d.
-220*d**3
Let g(c) = 2*c**3 + 11*c + 8. Let i(h) = -h**3 - 6*h - 4. Suppose 0 = -2*v - 2, 2*n - 5 = n - v. Let l(a) = n*g(a) + 11*i(a). Differentiate l(q) wrt q.
3*q**2
Find the third derivative of -66*g**3 + 4 + 9 - 11 + 10*g**2 wrt g.
-396
Let m(x) be the first derivative of 0*x**2 + 2/3*x**3 - 8 + 0*x + 0*x**4 - 9/5*x**5. Find the third derivative of m(w) wrt w.
-216*w
Let g(w) = -w**2 + 1. Let r(p) = 20*p**2 - 6. Let c(h) = 12*g(h) + r(h). Differentiate c(u) with respect to u.
16*u
What is the second derivative of 15*y - 2*y + 17*y - 2*y**2 wrt y?
-4
Differentiate -5*h**2 - 22*h**3 - 2 + 11 + 5*h**2 with respect to h.
-66*h**2
Let t = 27 - 14. Let k = t - 9. What is the derivative of 2*s**2 - k*s**2 + s**2 + 1 wrt s?
-2*s
Let r(c) = c**4 + c**2 + 1. Let v(a) = 21*a**4 + 5*a**2 + 14. Let w(y) = 5*r(y) - v(y). Differentiate w(b) wrt b.
-64*b**3
Let w(y) be the second derivative of -14*y**4/3 + y**3/2 - 3*y**2 + 3*y + 3. Find the second derivative of w(a) wrt a.
-112
Let u(d) be the second derivative of 3*d**5/20 + 5*d**4/6 - 11*d. What is the third derivative of u(g) wrt g?
18
Let z be ((-6)/(-3) + -7)/(-1). Let o be 8/(-5)*z/(-2). What is the derivative of 1 - 4*h + 4*h + 3*h**2 - o wrt h?
6*h
Let w(x) be the second derivative of 1/4*x**4 - 1/15*x**6 + 0*x**3 + 2*x + 0 + 0*x**5 + 0*x**2. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
, -2/7, 84, -3?
0.06
What is the nearest to 1/10 in -119, 3, -0.4, -2/9?
-2/9
Which is the nearest to -57? (a) 51 (b) 0.4 (c) -1/4 (d) 4 (e) -1
e
What is the closest to 0.3 in -5, 1/4, -174, 13?
1/4
What is the nearest to 436 in 0.2, 2, 3?
3
Which is the nearest to 2/5? (a) -25/67 (b) -0.3 (c) -9
b
Which is the nearest to 0? (a) -2 (b) 155 (c) 0 (d) -2/7
c
What is the closest to -0.1 in -1423, 4/3, -73, 0.07?
0.07
What is the nearest to -2/3 in 46, -2/275, -0.08, -0.2?
-0.2
What is the closest to 270 in 5, -107/3, -0.1?
5
Which is the closest to 234? (a) -7/3 (b) -0.1 (c) -5 (d) -2
b
What is the closest to -5 in 24, -0.1, -111, 3?
-0.1
What is the closest to 7 in 1/100, 2/3, 0.2, 21?
2/3
Which is the closest to 1? (a) -6860 (b) 0.5 (c) 4
b
Which is the nearest to -1/2? (a) -0.3 (b) -0.23 (c) -5 (d) -7 (e) -1/45
a
What is the closest to -2/9 in 157/3, -9, 2?
2
What is the nearest to 1.8 in -2/43, 2/11, 3/4, 3, 0.3?
3/4
Which is the nearest to -1? (a) 109 (b) 0 (c) 5 (d) 11/5
b
What is the nearest to 40 in -275, 1/5, 1, -0.1?
1
Which is the closest to -1? (a) 0 (b) 2/9 (c) -0.2 (d) 3527
c
Which is the nearest to -0.1? (a) 1 (b) -0.5 (c) -9 (d) -0.124
d
Which is the nearest to 1/4? (a) -150/17 (b) 0.1 (c) -4/73 (d) -0.1
b
What is the closest to 0.2 in 55, 5/2, 1380?
5/2
What is the nearest to 3/7 in 0.1, -0.2, -2, 5/2173, 13?
0.1
Which is the closest to -10? (a) -62/59 (b) 0.1 (c) 1
a
Which is the closest to 0.03? (a) 11 (b) -428 (c) 2
c
Which is the nearest to 0? (a) -8.7 (b) -5 (c) -0.11 (d) 0.4
c
Which is the closest to 0.4? (a) -76/11 (b) 1 (c) -0.5 (d) 3
b
What is the closest to 0 in 2/9, 1/76, 0.145, -6?
1/76
What is the closest to -0.1 in 0.2629, -4, 1.5?
0.2629
What is the closest to -2/13 in 0.4, -1/6, -8/5, -0.1, 16?
-1/6
What is the closest to -19 in 0.4, -2, 6/185?
-2
What is the nearest to -1 in -11.834, 0.1, 6, 5?
0.1
Which is the closest to -0.1? (a) -0.05 (b) -0.311 (c) -0.5
a
What is the closest to 1.2 in -2, -11, -5, 10?
-2
What is the closest to -70 in 6/5, -1/3, 2/129?
-1/3
What is the closest to 12 in -74, 5, 3?
5
What is the nearest to 2 in -121, 1.07, 3/7?
1.07
What is the closest to 9 in -2/41, -0.1, 3, 31?
3
Which is the nearest to 1? (a) -1/7 (b) -0.026 (c) -3 (d) -1
b
Which is the closest to -0.2? (a) -5/3 (b) -5 (c) -14.6
a
What is the closest to 62 in -2/47, -5, 0?
0
Which is the closest to 14/13? (a) -0.1 (b) -1 (c) -1/546 (d) 4
c
What is the closest to -0.2 in 0.5, 4, 0.2, 1, 525/2?
0.2
What is the nearest to 1 in 0.4, -509, 1/5?
0.4
What is the closest to 0 in 24, 0.09, 89/5, 0.4?
0.09
Which is the closest to -0.2? (a) 0.1 (b) -0.3 (c) 24/85 (d) 0.3
b
Which is the closest to -2/9? (a) 0.5 (b) -9 (c) -65.6
a
Which is the nearest to -0.1? (a) -5942 (b) 3 (c) -60
b
Which is the closest to 7? (a) -10/51 (b) -0.2 (c) 0.3 (d) 1 (e) 5/4
e
Which is the nearest to -2? (a) 76 (b) 194 (c) -4
c
Which is the closest to 0.05? (a) 2 (b) -4/21 (c) 0 (d) -17
c
What is the closest to -198.92 in 2, -2/9, 0.2?
-2/9
What is the closest to 5 in -24, 2/3, -2?
2/3
Which is the nearest to -17? (a) -2 (b) -0.4 (c) -5 (d) 0 (e) -35.78
c
What is the closest to 6 in -1, -2/237, 2?
2
Which is the nearest to -2? (a) -5 (b) 2/5 (c) -3 (d) 6/107
c
Which is the closest to 3? (a) 66 (b) -1/3 (c) -121/2
b
Which is the closest to 2/3? (a) -3/7 (b) 2419 (c) -0.5 (d) -3
a
Which is the closest to -0.1? (a) -0.0483 (b) 3/4 (c) 58
a
What is the nearest to -246/7 in 38, -2/5, 5, -4?
-4
Which is the closest to -20? (a) 0.1 (b) 0.2 (c) -4594 (d) 3/2
a
Which is the closest to -2/11? (a) -0.07 (b) 1/3 (c) 3 (d) 15 (e) -0.2
e
Which is the nearest to -0.09? (a) 5 (b) -3109 (c) 2 (d) -0.4
d
Which is the nearest to -0.4? (a) -296/9 (b) -3 (c) -1
c
What is the closest to 0.1 in 2/3,
|
{
"pile_set_name": "DM Mathematics"
}
|
-30))/((-7)/(-118650)) - 2?
2, 3, 31
Suppose 4*t - 4*c = 43004, -t - 6*c - 1983 = -12699. List the prime factors of t.
2, 3, 199
Let j(w) = -148*w + 31. Let x = 286 + -289. List the prime factors of j(x).
5, 19
Suppose -53*u + 51*u + 442 = 0. Let w = u + 260. List the prime factors of w.
13, 37
Let z(x) = -57 + 17*x - 18*x + 17*x. List the prime factors of z(23).
311
List the prime factors of -4 - (-1235 + 2)*370/111.
2, 2053
Let f = -431 - -465. Suppose -7437 + 1555 = -f*b. List the prime factors of b.
173
Let u(r) = 67*r**2 - 48*r + 312. What are the prime factors of u(6)?
2, 3, 7, 29
Let f(u) = -6*u**2 - 8*u + 17. Let g be f(-7). Let a = 548 + g. What are the prime factors of a?
3, 109
Let c = 506 - 501. Suppose -c*n - 2456 = -7861. List the prime factors of n.
23, 47
Let c = 6209 + -1328. What are the prime factors of c?
3, 1627
Suppose 0 = -22571*y + 22592*y - 1135890. List the prime factors of y.
2, 3, 5, 601
Let v(j) = -12*j - 100 + 242 + 2*j - 114. Suppose 27 + 7 = -4*y - 2*o, 0 = 3*y - 2*o + 22. What are the prime factors of v(y)?
2, 3
Let p(z) = -3075*z - 50. What are the prime factors of p(-3)?
5, 367
Suppose x - 1949 = 2317. What are the prime factors of ((-2)/4)/((-3 + -6)/x)?
3, 79
Suppose -22*j + 129 + 157 = 0. Suppose -1920 = -2*n - j*n. List the prime factors of n.
2
Let y = 3662 - 5247. Let c = y - -3046. List the prime factors of c.
3, 487
Suppose 2*l - 15 = -l. Suppose 5*b = l*i + 3485, 5*i - 2788 = -10*b + 6*b. List the prime factors of b.
17, 41
Suppose -5*n - 2*c + 215 = 2*c, 5*n + c = 215. Let j = n + -168. Let f = j + 215. What are the prime factors of f?
2, 3, 5
Let i(y) = -12*y**2 + 22*y + 116. Let g be i(-15). Let w = -2026 - g. List the prime factors of w.
2, 3, 37
Let f = -27773 - -67450. List the prime factors of f.
11, 3607
Let u be (3 - (-22)/(-4))*(5 - -5). Let v = 25 - u. Let g = v - -259. What are the prime factors of g?
3, 103
List the prime factors of -20 + ((-7679232)/12)/(-16).
2, 19, 263
What are the prime factors of (-3)/(-33) - (30840/(-165) - -10)?
3, 59
List the prime factors of (-9)/(-2)*60/225*(-414260)/(-42).
2, 11, 269
Suppose 2*i - b - 9 = 0, 3*b - 5*b - 10 = 0. Let k be 50 + (28/(-16) - i/8). List the prime factors of (122/8)/(12/k).
61
Let d(m) = 2*m**2 - 10*m + 12. Let k be d(6). Let p be (20/k*3)/(2/(-4)). What are the prime factors of 94 + (-2)/(10/p)?
5, 19
Let h(v) = -v**2 - 15*v - 28. Let g be h(-12). Let j(i) = 2*i**3 - 18*i**2 + 17*i - 1. What are the prime factors of j(g)?
7
Suppose -225 = 11*x + 14*x. List the prime factors of (-10136)/(-32) + (-2)/(1 + x).
317
Let f(d) = 9 + 4*d**2 - 2*d - 14*d - 3. List the prime factors of f(9).
2, 3, 31
Let j(g) = -g**2 + 9*g + 2. Let h be j(9). Suppose -h*b = b - 15. Let q(y) = y**3 - 4*y**2 + y - 17. List the prime factors of q(b).
13
Let b = 2094 + -954. List the prime factors of b.
2, 3, 5, 19
Suppose 607778 = -49*l + 2321602. List the prime factors of l.
2, 1093
Let q(a) = -a**2 - 4*a + 98. Let k be q(-12). Suppose 5*f - 2493 = -k*i, i - 1248 = -8*f + 5*f. What are the prime factors of i?
3, 7, 59
Let y be ((-3)/9)/(3 - (-74)/(-24)). Suppose 4*b - y*z - 1124 = 0, -2*b - 1377 = -7*b - 2*z. What are the prime factors of b?
277
Let f be -1 + 405 - -7*(-14)/49. Let u = f + -209. What are the prime factors of u?
193
Let n = -1478 + 1041. Let x = n + 850. What are the prime factors of x?
7, 59
Let m(r) be the second derivative of -r**4/4 + 2*r**3 - 7*r**2/2 - 107*r + 2. List the prime factors of m(3).
2
Let m(p) = -p**3 + 4*p**2 + 2*p + 15. Let x be m(5). Suppose x = 5*w + w - 684. What are the prime factors of w?
2, 3, 19
Let c = -27713 + 50103. List the prime factors of c.
2, 5, 2239
Let v = -41296 + 61403. What are the prime factors of v?
20107
Let v(m) = -m**2 + 3*m + 2. Let c be v(3). Let u be -3 + 4 + 6/c. Suppose -u*x = -2*x - 80. List the prime factors of x.
2, 5
Let x(u) = 6*u**2 - 3*u + 12. Let f be 3/12 + 34/(-8). List the prime factors of x(f).
2, 3, 5
Let z = -1864 + 5231. List the prime factors of z.
7, 13, 37
Let z(y) = -y**2 - 19*y - 48. Let l be z(-11). Let s = l + -37. Suppose 4*t + k = -k + 78, 0 = s*t - k - 51. What are the prime factors of t?
2, 3
Let c = -474 + 479. Suppose 0 = l + 10*n - 14*n - 758, 3*l + c*n - 2206 = 0. List the prime factors of l.
2, 7, 53
Suppose -4*g + 42 = 2*u, u = -g - 2 + 18. Suppose -803 = u*l - 2508. List the prime factors of l.
5, 31
Suppose -70*o + 96 = -67*o. Let p be -12*(-4)/o - (-2)/4. Suppose 965 = 5*w - 5*s, p*w + 4*s - 417 + 49 = 0. List the prime factors of w.
2, 5, 19
Let o be (-5)/(-10) - (-114)/12. Suppose -o*a = -2533 - 847. List the prime factors of a.
2, 13
Let u = 26038 - 16124. List the prime factors of u.
2, 4957
Suppose 2*k - 3 + 7 = -2*v, 2*k + 10 = 0. Let c be v*(380/4)/(-5). Let l = -15 - c. What are the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
7884112, 83353117?
113452850
What is the next term in 221011, 442007, 663011, 884029, 1105067, 1326131, 1547227, 1768361?
1989539
What comes next: 119156, 119266, 119470, 119786, 120232, 120826, 121586?
122530
What comes next: -1089, -9453, -32147, -76335, -149181?
-257849
What is next in -12769246, -25538495, -38307746, -51077005, -63846278, -76615571?
-89384890
What is the next term in 2566278, 10265257, 23096890, 41061177, 64158118, 92387713, 125749962?
164244865
What is the next term in 8901, 9255, 9637, 10047, 10485, 10951?
11445
What is the next term in -281544, -563141, -844834, -1126671, -1408700, -1690969, -1973526?
-2256419
What is next in -2321972, -2321959, -2321946, -2321933, -2321920?
-2321907
What is next in -316613, -316559, -316409, -316115, -315629, -314903, -313889?
-312539
What comes next: 8092776, 8092780, 8092788, 8092800, 8092816, 8092836?
8092860
What is the next term in 22479087, 22479086, 22479085, 22479084?
22479083
What is the next term in -722, -5699, -13988, -25589, -40502, -58727, -80264?
-105113
What is next in -3084, -6101, -9176, -12303, -15476, -18689?
-21936
What is next in 126982, 127005, 127028, 127051, 127074?
127097
What is the next term in -366438, -366179, -365898, -365583, -365222, -364803, -364314?
-363743
What is next in -751381, -1502789, -2254197?
-3005605
What is the next term in 1549, 5573, 9597, 13621, 17645, 21669?
25693
What comes next: 410377, 410303, 410229, 410155, 410081?
410007
What comes next: -6836, -6385, -5934?
-5483
What is next in -45144, -86324, -127492, -168642, -209768, -250864?
-291924
What is the next term in -186563, -186531, -186493, -186443, -186375, -186283, -186161, -186003?
-185803
What is the next term in -23, 64, 233, 448, 673?
872
What is next in -3682, -3639, -3588, -3523, -3438, -3327, -3184?
-3003
What is the next term in -22128202, -22128204, -22128206, -22128208, -22128210, -22128212?
-22128214
What is the next term in 7307, 7032, 6757, 6482, 6207?
5932
What comes next: -87206278, -174412560, -261618842, -348825124, -436031406, -523237688?
-610443970
What comes next: -10025, -40504, -91315, -162458, -253933?
-365740
What comes next: 94799216, 189598432, 284397650, 379196870?
473996092
What comes next: -6591, -24822, -54691, -96192, -149319, -214066?
-290427
What is the next term in 12534, 100248, 338200, 801510, 1565298, 2704684?
4294788
What is next in -3002955, -12011814, -27026577, -48047244, -75073815, -108106290, -147144669?
-192188952
What comes next: 5459, -18557, -42573, -66589, -90605?
-114621
What is next in -11869, -47337, -106431, -189151?
-295497
What comes next: 1953, 2396, 3133, 4164?
5489
What is next in 60149, 240600, 541333, 962324, 1503549, 2164984?
2946605
What comes next: -454, -145, 834, 2819, 6146, 11151, 18170?
27539
What comes next: -108558, -108496, -108436, -108378?
-108322
What is next in 100677, 402756, 906237, 1611120?
2517405
What is next in -988, -4207, -11842, -26101, -49192, -83323?
-130702
What comes next: -10526, -18762, -26998, -35234?
-43470
What comes next: 421324, 421352, 421380, 421408, 421436?
421464
What is the next term in -445822, -445832, -445842, -445852, -445862, -445872?
-445882
What comes next: 652767, 2611094, 5874965, 10444374, 16319315, 23499782, 31985769, 41777270?
52874279
What comes next: 358, 632, 784, 808, 698, 448?
52
What comes next: 174939, 174909, 174883, 174861?
174843
What is next in -1820, -1637, -1338, -929, -416?
195
What is next in -13507, -54111, -121785, -216529?
-338343
What is the next term in -2971, -5672, -8361, -11038, -13703?
-16356
What is the next term in 577632, 1155016, 1732402, 2309790, 2887180, 3464572, 4041966?
4619362
What comes next: -55804, -55731, -55602, -55417, -55176?
-54879
What is the next term in -4780, -10377, -15974, -21571, -27168?
-32765
What comes next: -104, -340, -820, -1616, -2800, -4444, -6620?
-9400
What is the next term in -2934252, -2934254, -2934256, -2934258?
-2934260
What is the next term in 6014, 9083, 12150, 15215, 18278, 21339?
24398
What is the next term in 5064341, 5064476, 5064613, 5064752, 5064893, 5065036, 5065181?
5065328
What is next in -424219, -424283, -424347, -424411, -424475, -424539?
-424603
What comes next: 940744, 940867, 940990, 941113, 941236?
941359
What comes next: -65525, -57746, -44785, -26648, -3341, 25130, 58759, 97540?
141467
What comes next: -2791, -6229, -10359, -15181, -20695, -26901, -33799?
-41389
What is the next term in 208467, 1667570, 5627991, 13340388, 26055419, 45023742, 71496015?
106722896
What is next in 44681911, 89363820, 134045729?
178727638
What comes next: 402698, 805355, 1208012, 1610669, 2013326, 2415983?
2818640
What comes next: 387
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*v + 2*v + 0*v)*(0 + 0 + 2))*(3 - 3 - v)*(-4 - 4 - 5).
-26*v**2
Expand 1 - h**3 - 1 + ((-2*h**2 + 3*h**2 - 2*h**2)*(-2*h + 0 + 0) + 35 - 35 + 14*h**3)*(-4 + 0 + 2).
-33*h**3
Expand (13 + 20 - 5)*(0*j**4 + 2*j**5 + 0*j**4 + (j**2 + j**2 + 0*j**2)*(-j**3 + j**3 + j**3)) + (-3*j**2 + 2*j**3 + 3*j**2)*(-7*j - 5*j**2 + 7*j).
102*j**5
Expand (s + 2 - 2)*(5*s + 34 - 7 - 24*s + 7*s).
-12*s**2 + 27*s
Expand (-b**2 + 3*b**2 + b**4 - 1 + b**4)*((4 - 3 + 1)*(2*b - 7*b + 3*b) - 1 + 1 - 2*b + 5*b - 6*b + 0*b + 38*b - 512 + 512).
62*b**5 + 62*b**3 - 31*b
Expand (0 + 3 - 1)*(122*k - 244*k + 2 + 121*k + 227*k**3).
454*k**3 - 2*k + 4
Expand (-k**2 + 21*k**2 - 4*k**2)*(-4*k + 13*k + 7*k).
256*k**3
Expand -879*o - 19*o**4 + 879*o + (-2*o + 2*o + 2*o)*(-o**3 + o**3 + 2*o**3) + 6*o**4 + 7*o**3 - 7*o**3.
-9*o**4
Expand (-19 + 19 + 31*k)*(-3*k + 0*k + k) + (-k + 3*k - k)*(0 + k + 0*k - 6).
-61*k**2 - 6*k
Expand (-3*k**3 - 4*k**3 + 4*k**3)*(72 - 163 - 395).
1458*k**3
Expand (-3*k**4 + 2*k**4 - 2*k**3 + 2*k**4)*(304 - 118 - 135).
51*k**4 - 102*k**3
Expand (2*q**2 + 0*q + 0*q)*(4*q + 9*q + 2*q + 3).
30*q**3 + 6*q**2
Expand (2*o + 0*o - 5*o)*(37 + 10 + 27 + 2 - 2 + 1 + (-2 + 0 + 1)*(-1 + 0 + 0) + 0 - 1 + 0 - 4 + 0 + 2)*(2*o**2 + 2 - 2).
-438*o**3
Expand 2 - 2 - s + (-3*s + 6*s - 2*s)*(10 + 17 + 30) + (2 + s - 2)*((8 - 3 - 3)*(3 + 1 - 3) + 4 - 2 + 0).
60*s
Expand (-3*g + 0*g - 1 + g)*(-28*g + 28*g + 8*g**2).
-16*g**3 - 8*g**2
Expand -45*a + 11*a**2 + 45*a + (-3*a + 7*a - 2*a)*(0*a - 2*a + 4*a) + 5*a**2 - 5*a**2 - a**2 + (-2 + 0 + 3)*(-4*a**2 + a**2 + 5*a**2) - 3*a + 3*a + 5*a**2.
21*a**2
Expand (-202 - 322 - 101)*(2*z**5 + 3*z**4 - 3*z**4 - 2*z**4).
-1250*z**5 + 1250*z**4
Expand (4*b**2 - 4*b**2 + 3*b**3)*(43*b + 3*b + 25*b).
213*b**4
Expand (-2 + 2 + 1)*(1 - 2 - 1)*(-y + y - 6*y) - 105 + 105 + 12*y.
24*y
Expand ((-1 + 0 + 5)*(6*d + 0*d - 5*d) + 1 - 1 - d)*(-13*d**3 + 10 + 11 + 12*d**3) - 3*d + 3*d - d**4.
-4*d**4 + 63*d
Expand 1 + 1 + 4 + 14*v - 1 - 2*v + 1 + (0*v - v - 3*v)*(-3 + 2 + 3).
4*v + 6
Expand 4*t**5 - 3*t**5 - 2*t**5 + (t**2 - 5*t**2 + 2*t**2)*(3 - 3 + t**3) - 4*t**2 - 3*t**5 + 4*t**2 + (-t**4 + 7*t**4 - t**4)*(-3*t + 4*t - 3*t).
-16*t**5
Expand (-w**3 - 4*w + 4*w + 3*w**3 - 4*w**3 - 2*w**3 + (0*w**2 - 3*w**2 + w**2)*(0 + 0 + w))*(-5 - 4 + 11 - 5*w).
30*w**4 - 12*w**3
Expand -25 + 42*a**4 + 25 + (3*a**2 - 3*a**2 + 2*a**2)*(0*a**2 + 4*a**2 - 2*a**2).
46*a**4
Expand (-5*z + z + 3*z)*(-z**2 + 0*z**2 - 4*z**2)*(-3 + 4 - 2) + (z**2 + 3*z**3 - z**2)*(-1 + 1 - 4).
-17*z**3
Expand (2 - 9 - 31 + (4 - 3 + 1)*(2 - 1 - 3) + 1 - 2 + 3)*(3*g**4 + g**4 + 2*g**4).
-240*g**4
Expand (x - x + 2*x**2)*(x - 4*x - x + (2*x + 0*x + 4*x)*(-6 + 2 + 2))*(-4 + 2 - 1).
96*x**3
Expand (1 + 8 + 2)*(-4 - i + 4) + (2 - 2 + 2*i)*(1 + 1 - 3) + 2*i - 3*i + 0*i + 2*i + 0*i + 0*i - i - 4*i + 4*i - 2*i + 3*i + 0*i.
-12*i
Expand (k - 4*k + 4*k)*(40*k**3 - 53*k**3 - 52*k**3) + 2*k**4 - 2*k**4 - k**4.
-66*k**4
Expand -7*x - 12*x + 10*x - 4*x + 4*x + x + 3*x - 2*x + x + (2*x + x - 4*x)*(2 + 1 + 14).
-23*x
Expand (10 + 2 + 13)*(-y + 5 - 5).
-25*y
Expand (-c**3 + 5*c**3 - 3*c**3)*(-c - 1 + 1) + 0*c**4 - 2*c**4 + 10*c**4 + 2*c**4 - 4*c**4 - c**4 + 3*c**4 - c**3 + c**3.
7*c**4
Expand (7*a**3 + 8*a**3 - a**3)*(-9*a**2 + a**2 - a**2).
-126*a**5
Expand (-2*a - 3 + 3 + (0 - 2 - 2)*(7*a - a - 2*a))*(-a + 2 - 2).
18*a**2
Expand (q + 2*q - 5*q)*(-20*q - 1607 + 1607) + (1 + 2*q - 1)*(-3 + 3 + q).
42*q**2
Expand (0*j - 3*j + j)*(16*j - 4*j - j - j + 2*j + j - j + j + 2*j - 2*j + j - j + (-3*j + 2*j - j)*(0 + 2 + 0) - 2*j - 1 + 1 - j - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
19, a in increasing order.
-19, a, 5/2
Let n = 47 - 43. Let z = 414/7 + -1692/35. Let u = z - 368/35. Put u, n, 4/7 in increasing order.
u, 4/7, n
Let c = -37 + 23. Let l = c - -12.3. Let b = 1.5 + l. Put -1/9, b, 1 in descending order.
1, -1/9, b
Let g(w) = w**3 + 4*w**2 + w + 3. Let r be g(-3). Suppose 0 = -5*u - 3*t - 15, 21 = 2*u - 3*u + 3*t. Let k be (-8)/(-3)*r/u. Put -3, k, 4 in increasing order.
k, -3, 4
Suppose i = 5*x - 4*i + 5, -x + 4*i = 13. Suppose x*w - 15 = -2*w. Let p be 5/(-2)*(-12)/15. Sort w, p, 5 in descending order.
5, w, p
Let u(x) = 5*x**3 - 27*x**2 - 41*x + 37. Let p(o) = -o**3 + 7*o**2 + 10*o - 9. Let h(n) = 9*p(n) + 2*u(n). Let a be h(-8). Sort -5, 4, a in ascending order.
a, -5, 4
Let o be (-868)/(-8) + (-6)/4. Let p be (4/12)/((-5)/(-1599)). Let f = p - o. Sort 0.5, 0.2, f.
f, 0.2, 0.5
Let h = 0.1 + -0.3. Let b be 420/13230 - (-65)/(-63). Put 3/4, b, h, 2/15 in increasing order.
b, h, 2/15, 3/4
Let x = -1 + 0.98. Let v = -156.48 + 157. Let d = v + x. Sort -3, -0.4, d in decreasing order.
d, -0.4, -3
Suppose 4*s - 2*m = -28, 0*s + 4*s + 28 = 3*m. Let y = s + 4. Let l = -0.04 - -2.04. Sort y, 1, l in ascending order.
y, 1, l
Suppose -4*l + x = -10, -3*l + 4*l - 5*x + 7 = 0. Sort l, -4, -26.
-26, -4, l
Let t(c) = -c**2 - 17*c + 15. Let n be t(-18). Let l be 111/(-39) + (36/(-4))/n. Sort 0.3, 0, l, -2/13 in ascending order.
-2/13, 0, l, 0.3
Let s = 294 + -295. Sort -3, 2, s, -26 in ascending order.
-26, -3, s, 2
Let f = -36493/15 - -2433. Let y = 60/17 - 369/119. Let p = -3.94 + -0.06. Put p, y, f in increasing order.
p, f, y
Suppose -8*v = -3*o - 3*v + 34, -4*o - 2*v + 2 = 0. Suppose -a - 6 = -o*a. Let c be (5/11)/(-24 - 7420/(-308)). Put -4, a, c in decreasing order.
c, a, -4
Let p(x) = 2 + 4*x**2 - 3*x**2 - 3 - 4*x. Let b be p(3). Suppose 12*u - 30 = 6*u. Put u, -3, b in descending order.
u, -3, b
Let y = -968 - -967. Put -11, y, 0, -2 in decreasing order.
0, y, -2, -11
Let d = 905/7 + -129. Let y be -6 + 2 - (-3)/2. Sort d, 0.03, y in descending order.
d, 0.03, y
Let b(x) = 3*x + 4. Let m be b(-1). Let d(u) = -u**3 + 7*u**2 - 3*u - 8. Let i be d(6). Suppose 8*r - 3*r = i. Sort m, r, -2 in descending order.
r, m, -2
Suppose 4*z - 39 = 7*s, -8*s = -5*z - 4*s + 25. Put 0.5, z, -3, -1/3 in descending order.
z, 0.5, -1/3, -3
Suppose -5*s + 0*s = -10. Let h be (4/3 - 2) + (s - 0). Sort -5, h, 3/4, 1/3.
-5, 1/3, 3/4, h
Suppose -3*c + 20 + 31 = 0. Suppose -c*j + 13*j + 12 = 0. Let h(a) = -a**3 - 6*a**2 - 5*a - 2. Let m be h(-5). Put j, m, 0.3 in decreasing order.
j, 0.3, m
Let h = -8275067/3459228 - -1/67828. Let u = h + 18/17. Sort u, 0, -5, 0.4.
-5, u, 0, 0.4
Let o be 15/(-5) - (-2)/(-10)*-19. Put -4/35, -3, o in descending order.
o, -4/35, -3
Suppose 4*a + 0*a = 8. Suppose 5*m + 2*r - 26 = 0, -3*r + 10 = 2*m - a*r. Sort 3, -1, m, -3/8 in increasing order.
-1, -3/8, 3, m
Let k be 0 - ((-12)/(-5))/((-2)/10). Suppose k*j - 14*j - 10 = 0. Sort j, 0, -1, 1 in increasing order.
j, -1, 0, 1
Let a be -1 - 3*2/3. Suppose 29*w = 34*w + 180. Let g = -41 - w. Put a, -9, g in decreasing order.
a, g, -9
Let n(b) = b**2 + 17*b + 38. Let v be n(-3). Sort v, 2, 3, 13 in decreasing order.
13, 3, 2, v
Let h(z) = -z**3 + 10*z**2 - 10*z + 10. Let a be h(9). Let r = 8 - -6. Suppose -12*t + 8 = -r*t. Sort -5, a, t in decreasing order.
a, t, -5
Let l be ((-2)/5)/(7/(-35)). Suppose -n + 4 = x, -3*x = l*n + 3*n - 30. Sort n, -3, 1, 2 in increasing order.
-3, 1, 2, n
Let k = 84 + -56. Let g = 28 - k. Suppose -4*z + g = -20. Sort -8, 1, z in descending order.
z, 1, -8
Let z = 2.04 - 6.04. Put -0.1, z, 69 in increasing order.
z, -0.1, 69
Let g = -65.942 + 66. Let p = 0.058 - g. Put 2/5, p, 2 in increasing order.
p, 2/5, 2
Suppose 0 = t - 6*t + 35. Sort -2, -5, 0, t in decreasing order.
t, 0, -2, -5
Let z(b) = b. Let m be z(6). Let j be (-27)/(-45) + (-4)/(-10). Let u be ((2 - -1) + -4)/j. Sort -2, m, u in ascending order.
-2, u, m
Let c(i) = i**3 + 11*i**2 + i + 16. Let r be c(-11). Let a(m) = 2*m**2 - m**2 - 3*m - r + 0*m**2. Let j be a(4). Put 2, j, -3 in ascending order.
-3, j, 2
Let u = -109 - -92. Put u, -2, -3, 4 in ascending order.
u, -3, -2, 4
Let y be 3/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
h.
-2
Suppose 0*g + 4*l = g + 11, 2*l = 3*g - 7. Suppose -5*b + 4 + 6 = -g*m, 30 = 5*b + 5*m. Solve 2*h + b*y = -0*h - 14, 5*h = -y - 8 for h.
-1
Let u = -4 - -6. Suppose 2*b + 19 = 1. Let o be (-6)/(b/6*1). Solve 2*g = -o*p - 4, 2*p - u*g + 2 = -0 for p.
-1
Suppose -2*v + 20 = -0*h + 4*h, h + 2 = 3*v. Solve 0 = -4*x + 20, x - 3 = h*l - 2*x for l.
3
Let v be (-69)/(-18) - 6/(-36). Suppose -3 = -3*s, -g - 2*g + 20 = 5*s. Suppose -g*b = 7 - 107. Solve -v*r = -0*r - 3*u + b, 2*r + 10 = 4*u for r.
-5
Suppose -j - 3 = 4*a, 0 = 3*a + 1 + 5. Solve 4*w - 20 = b + b, w - j = -5*b for w.
5
Suppose 2 = -2*k - 4. Let i be k/((-9)/2 + 3). Solve 0 = -3*r - i*y - 4 - 2, 2*r - y = -11 for r.
-4
Let l = -1 + 1. Suppose -4*v + 15 + 1 = l. Solve -v*a - 8 = 3*k + k, 3*a - 4*k - 1 = 0 for a.
-1
Let q be (-2)/8 + 45/20. Suppose -2*n - 2 = q*k, 0*n + 2*n - 13 = k. Let b be (2 - -1)*n/6. Solve 0 = 4*d - 5*d - b*i - 1, d = i + 5 for d.
3
Let x = -7 + 9. Suppose 5*k = -v + 15, -x*v + 2 + 2 = -3*k. Suppose 3*c + 3*b = k*b + 51, c + b = 17. Solve -f + 0 - c = 5*u, -f = -3 for u.
-4
Let y be (0/(-1) + -4)/(-2). Let m = 1 + 0. Let k = 1 + m. Solve -8 = c + k*b, 0*c + 4*c = y*b + 8 for c.
0
Let q(p) = -2*p - 12. Let u be q(-8). Solve 5*w + j + 3*j = 30, -u*j + 26 = 3*w for w.
2
Suppose 1 = m - 4. Let t be 1*6 + (m - 6). Suppose -y = 5*w - 46, -5*w + 7 = -t*y - 33. Solve s + a + 1 = 0, 2*s + s + a = -w for s.
-4
Let c(p) = 3*p**2 + 15*p - 14. Let s be c(-6). Solve s*v = q + 3, 4*q - 2 = -v + 3 for v.
1
Let k = 20 - 11. Suppose 3*a - 3*m = 12, k + 11 = 5*a + 4*m. Solve -a*x + 3*t = -27, 0*x = 4*x - 4*t - 32 for x.
3
Let a be ((-5)/10)/((-2)/4). Let q(x) = x**2 + 5*x + 7. Let b be q(-5). Let o be b - (1 + a) - 1. Solve -o*m = 12, -5*p + p - 3*m = -3 for p.
3
Let u(g) = g**3 + 4*g**2 + 3*g + 2. Let x be u(-2). Solve 5*q = -2*s + x, -2*s - 1 = -5 for q.
0
Let v = 6 - 3. Solve -5*x + v*n = -8 - 23, 16 = 4*x + 2*n for x.
5
Let j(p) = -3 + 3 + p + 0. Let c be j(4). Suppose -2*r - 3*k + 14 = 0, -k = -c + 2. Solve -20 + 8 = 2*b - r*v, b + 10 = 3*v for b.
2
Let d(n) = 5*n**2. Let q be d(1). Suppose -2*w = 2*t - 6, -4*w - 2*t + 21 = q. Solve r - 5 = -3*x, 0 = w*x + 3*r + 2*r - 15 for x.
1
Let u be (-10 + 10)/((-4)/2). Solve -k + u*k = -3*f + 9, 2*f = 8 for k.
3
Let f = 4 - 1. Solve 0 = 4*t - 4, -f*d - 2*t = t + 12 for d.
-5
Let r(a) be the second derivative of -a**3/2 + a**2/2 + 5*a. Let m be r(-1). Solve -2*u + 11 - 26 = -d, -4*d + m*u = -40 for d.
5
Let y(l) = 3*l - 4. Let i be y(5). Let z = 0 + i. Solve 3*d = -4*w + z, 0 = -3*d - d + 4 for w.
2
Let b(t) = 5*t**3 - 2*t - 4 + 7*t - 4*t**3 - 4*t**2. Let o be ((-6)/4)/(6/(-12)). Let g be b(o). Solve -3*n + 6 = 2*m, 3*n - 4*m - 4 - g = 0 for n.
2
Suppose 0 = -0*g - 4*g + 24. Let h be -1 - ((-2 - 0) + g). Let r = 5 + h. Solve 0 = 3*y - 5*y + 2*j + 4, -5*j - 5 = r for y.
1
Suppose 0 = 4*y - 7*y - 6. Let g be 5*y*1/(-2). Suppose -4*z - 5*u - g = -8*z, -z = 2*u + 2. Solve 0 = -3*s + 3, 0 = -h - 2*s + 1 - z for h.
-1
Suppose -b + 3 = -7. Solve 2*q - i + 3*i - 2 = 0, -4*q - i = -b for q.
3
Let v(x) = -x + 15. Let g be v(13). Solve -5*m + 3*i = -7, 3*m - g*i - 4 = 1 for m.
-1
Suppose 5*y + 2*i - 6 = -0*i, -5*i = -2*y + 14. Suppose -y + 14 = 5*t + 2*m, -4*t - 4*m = -12. Solve 3*a - 17 = -t*x - 1, 4*a = -2*x + 20 for x.
2
Suppose 4*i + 8 = -0. Let y be 4 + 2 + 1 + i. Solve -3*n + 5 = -4*o + 13, -2*n + y*o = 17 for n.
4
Let l(r) = 2*r**2 + 2*r - 6. Let s be l(-4). Let o be 130/18 - s/81. Solve 2*c = -4, -b + o*c + 7 = 2*c for b.
-3
Let p be (-1 - -1)*(-1)/(-1). Let z(j) = 2*j + 20. Let h be z(7). Solve -5*i - h = -3*r, -5*r = -4*i - p*i - 35 for i.
-5
Suppose -3*h - 2*d = -16, 0*d + 4*d = -16. Suppose -t - t = -h. Let p(o) = o + 18. Let w be p(0). Solve -3*i - t*y + 7 = 2, -5*i + 3*y = -w for i.
3
Let x = -91 + 127. Suppose 4*h +
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from {o: 3, j: 1, z: 1, b: 3, v: 1, g: 2}?
3/55
What is prob of picking 2 n and 2 i when four letters picked without replacement from ynnninnnnninyyn?
3/91
Calculate prob of picking 1 i and 1 c when two letters picked without replacement from eci.
1/3
Four letters picked without replacement from {q: 1, z: 2, p: 2, v: 1, f: 1}. What is prob of picking 1 v, 2 z, and 1 f?
1/35
Two letters picked without replacement from {b: 2, f: 1, r: 1, d: 1, p: 2, v: 1}. What is prob of picking 1 b and 1 r?
1/14
Calculate prob of picking 2 x when two letters picked without replacement from txxxtttxxxxxxttxtttx.
11/38
What is prob of picking 1 w and 1 f when two letters picked without replacement from {m: 2, r: 2, w: 1, b: 1, j: 1, f: 1}?
1/28
Calculate prob of picking 2 u when two letters picked without replacement from {h: 3, u: 5}.
5/14
Calculate prob of picking 1 z, 2 m, and 1 h when four letters picked without replacement from hkzmbmzmmrzbmb.
30/1001
What is prob of picking 1 f, 1 w, 1 k, and 1 a when four letters picked without replacement from aaaayyakfayaafawkky?
9/646
Two letters picked without replacement from qcomycocceyo. Give prob of picking 1 c and 1 e.
2/33
Four letters picked without replacement from bzbzb. Give prob of picking 3 b and 1 z.
2/5
Two letters picked without replacement from {i: 1, c: 1, n: 2, f: 1, q: 1, p: 1}. What is prob of picking 1 f and 1 p?
1/21
Three letters picked without replacement from {u: 1, r: 2, n: 1, y: 3, e: 3, k: 1}. Give prob of picking 1 y, 1 r, and 1 e.
6/55
What is prob of picking 1 m, 1 l, and 2 d when four letters picked without replacement from ldddkddkrkdddkmmkdrl?
48/1615
Four letters picked without replacement from bcqbqcqqbi. What is prob of picking 2 b, 1 i, and 1 c?
1/35
Calculate prob of picking 1 i, 1 r, and 1 u when three letters picked without replacement from uiuruuhrrhririuhhhri.
2/19
Three letters picked without replacement from {t: 3, q: 5, l: 2, m: 2, j: 6}. Give prob of picking 1 t and 2 l.
1/272
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from ddlddlissdsrsshls.
1/136
What is prob of picking 2 q when two letters picked without replacement from iqqiiiiiqiiqitiiiq?
10/153
Two letters picked without replacement from {n: 2, y: 1, l: 1, o: 2, b: 1, i: 2}. Give prob of picking 2 n.
1/36
Calculate prob of picking 1 a and 3 z when four letters picked without replacement from jzazz.
1/5
Four letters picked without replacement from {g: 1, e: 3, i: 5}. What is prob of picking 4 i?
5/126
Calculate prob of picking 1 y and 1 w when two letters picked without replacement from myymywy.
4/21
Two letters picked without replacement from ubcugbgbbxbggxb. Give prob of picking 1 g and 1 x.
8/105
What is prob of picking 3 n when three letters picked without replacement from ttnntntttnt?
4/165
Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {m: 1, p: 2, u: 1, s: 1, v: 2}.
2/21
Four letters picked without replacement from {h: 7, w: 7}. What is prob of picking 2 w and 2 h?
63/143
Two letters picked without replacement from pdpppdpppppdppp. What is prob of picking 1 p and 1 d?
12/35
Four letters picked without replacement from aupupupgpu. What is prob of picking 1 a and 3 u?
2/105
Calculate prob of picking 1 z, 1 l, and 2 u when four letters picked without replacement from {l: 3, z: 4, t: 1, u: 1, j: 4, i: 1}.
0
What is prob of picking 2 y and 1 l when three letters picked without replacement from {y: 2, l: 2, a: 4, e: 1, w: 1, g: 2}?
1/110
Calculate prob of picking 4 y when four letters picked without replacement from {m: 1, r: 6, t: 4, y: 2, e: 2}.
0
Three letters picked without replacement from {o: 6, y: 2, a: 10}. Give prob of picking 1 y and 2 o.
5/136
What is prob of picking 1 l and 1 v when two letters picked without replacement from vlaalaaal?
1/12
What is prob of picking 1 p and 1 q when two letters picked without replacement from {p: 1, i: 2, q: 1, j: 1}?
1/10
Three letters picked without replacement from {t: 2, d: 2, s: 2}. Give prob of picking 2 t and 1 s.
1/10
What is prob of picking 2 w when two letters picked without replacement from ksrdwwh?
1/21
Four letters picked without replacement from pnbauupbsbbbabbup. What is prob of picking 1 n, 1 b, and 2 u?
3/340
What is prob of picking 4 k when four letters picked without replacement from {b: 8, z: 5, k: 7}?
7/969
What is prob of picking 2 m and 1 c when three letters picked without replacement from xcxcmxmxcdxiccxmc?
9/340
Three letters picked without replacement from lpfljjfjfejlpf. What is prob of picking 1 e and 2 j?
3/182
Two letters picked without replacement from wkoinou. Give prob of picking 1 o and 1 w.
2/21
Two letters picked without replacement from {l: 1, t: 2, w: 1, j: 2, i: 1}. What is prob of picking 1 t and 1 l?
2/21
What is prob of picking 3 c and 1 w when four letters picked without replacement from {c: 4, w: 7}?
14/165
Four letters picked without replacement from dddjdjjfejj. Give prob of picking 1 d, 1 e, and 2 j.
4/33
What is prob of picking 1 q, 1 r, 1 v, and 1 l when four letters picked without replacement from {q: 1, l: 1, v: 1, a: 1, r: 1}?
1/5
Calculate prob of picking 1 o, 1 x, and 1 a when three letters picked without replacement from {a: 6, e: 2, z: 1, x: 5, o: 1, h: 2}.
3/68
Two letters picked without replacement from {h: 7, r: 1, x: 1, q: 3}. Give prob of picking 1 x and 1 r.
1/66
Three letters picked without replacement from {x: 2, k: 1, m: 2, s: 1}. Give prob of picking 2 x and 1 s.
1/20
Four letters picked without replacement from {z: 5, y: 2}. What is prob of picking 3 z and 1 y?
4/7
Three letters picked without replacement from {j: 9, v: 5, o: 1, y: 5}. Give prob of picking 2 o and 1 y.
0
What is prob of picking 1 e and 1 t when two letters picked without replacement from {r: 2, d: 3, t: 2, e: 1, w: 6}?
2/91
Two letters picked without replacement from rhhrrrhhrhhhh. Give prob of picking 1 r and 1 h.
20/39
Two letters picked without replacement from {m: 2, q: 5, d: 3}. What is prob of picking 2 d?
1/15
What is prob of picking 1 m and 3 a when four letters picked without replacement from ooihaihhoxmaa?
1/715
Two letters picked without replacement from {h: 1, l: 1, i: 2, v: 1, e: 1, r: 2}. What is prob of picking 1 e and 1 l?
1/28
Two letters picked without replacement from {x: 9, d: 2, e: 8}. What is prob of picking 1 d and 1 e?
16
|
{
"pile_set_name": "DM Mathematics"
}
|
4473935?
3
What is the hundred thousands digit of 88596045?
5
What is the tens digit of 1425499418?
1
What is the units digit of 109507930?
0
What is the thousands digit of 2226747?
6
What is the tens digit of 609083762?
6
What is the ten thousands digit of 5740427976?
2
What is the tens digit of 5160643010?
1
What is the ten millions digit of 5175638243?
7
What is the millions digit of 9823300?
9
What is the millions digit of 15160170?
5
What is the tens digit of 146437028?
2
What is the hundreds digit of 37326235?
2
What is the hundred thousands digit of 441603718?
6
What is the tens digit of 166686651?
5
What is the hundreds digit of 94130832?
8
What is the hundreds digit of 12529747?
7
What is the hundreds digit of 944352735?
7
What is the thousands digit of 5884260426?
0
What is the hundred thousands digit of 708930730?
9
What is the millions digit of 258041023?
8
What is the thousands digit of 168079955?
9
What is the hundreds digit of 4854422980?
9
What is the millions digit of 260168354?
0
What is the hundred millions digit of 151885778?
1
What is the hundreds digit of 188112134?
1
What is the ten thousands digit of 313925717?
2
What is the ten millions digit of 423231715?
2
What is the tens digit of 125844610?
1
What is the thousands digit of 94722550?
2
What is the tens digit of 1479141811?
1
What is the ten millions digit of 76887657?
7
What is the millions digit of 320147137?
0
What is the units digit of 649011584?
4
What is the millions digit of 367260334?
7
What is the hundred millions digit of 450386221?
4
What is the thousands digit of 32397266?
7
What is the tens digit of 35712112?
1
What is the ten millions digit of 48008065?
4
What is the hundred millions digit of 2863514679?
8
What is the hundred thousands digit of 232655618?
6
What is the billions digit of 8891240098?
8
What is the ten thousands digit of 14042072?
4
What is the thousands digit of 65980253?
0
What is the hundred thousands digit of 356490812?
4
What is the thousands digit of 87175039?
5
What is the units digit of 24090399?
9
What is the units digit of 20211037?
7
What is the millions digit of 35607862?
5
What is the tens digit of 15193604?
0
What is the thousands digit of 21894617?
4
What is the thousands digit of 103470279?
0
What is the hundreds digit of 57151258?
2
What is the ten millions digit of 934025995?
3
What is the ten millions digit of 656183397?
5
What is the ten millions digit of 2062923342?
6
What is the hundreds digit of 36015619?
6
What is the ten millions digit of 1412216156?
1
What is the units digit of 37823763?
3
What is the units digit of 2047091591?
1
What is the ten millions digit of 393142876?
9
What is the units digit of 36169030?
0
What is the hundreds digit of 8488560?
5
What is the ten millions digit of 16805119?
1
What is the hundred thousands digit of 93260119?
2
What is the units digit of 33610289?
9
What is the hundred thousands digit of 493409709?
4
What is the hundreds digit of 739389770?
7
What is the billions digit of 5334430113?
5
What is the billions digit of 1064214281?
1
What is the thousands digit of 770107871?
7
What is the thousands digit of 289459495?
9
What is the thousands digit of 1458305328?
5
What is the billions digit of 2854092991?
2
What is the ten millions digit of 115263617?
1
What is the millions digit of 227616799?
7
What is the thousands digit of 1503107941?
7
What is the ten thousands digit of 2932119104?
1
What is the millions digit of 40696046?
0
What is the millions digit of 282686572?
2
What is the hundred thousands digit of 61839934?
8
What is the millions digit of 3948167454?
8
What is the units digit of 398828180?
0
What is the hundreds digit of 7349391?
3
What is the units digit of 140038805?
5
What is the ten millions digit of 65403773?
6
What is the thousands digit of 3251837251?
7
What is the hundreds digit of 4747734124?
1
What is the hundreds digit of 85134650?
6
What is the tens digit of 184931954?
5
What is the hundred millions digit of 265783779?
2
What is the hundreds digit of 3714524702?
7
What is the ten thousands digit of 6511712070?
1
What is the tens digit of 270956976?
7
What is the hundred millions digit of 4017174717?
0
What is the tens digit of 54646243?
4
What is the hundreds digit of 1370828?
8
What is the units digit of 555560832?
2
What is the millions digit of 1467592318?
7
What is the ten millions digit of 297719913?
9
What is the millions digit of 92045662?
2
What is the hundreds digit of 35163308?
3
What is the hundreds digit of 786034592?
5
What is the ten millions digit of 100814959?
0
What is the ten millions digit of 30445755?
3
What is the tens digit of 1393604?
0
What is the units digit of 3706808030?
0
What is the millions digit of 1621990799?
1
What is the billions digit of 1230517693?
1
What is the hundred millions digit of 126957331?
1
What is the units digit of 79290872?
2
What is the thousands digit of 60907179?
7
What is the tens digit of 391419660?
6
What is the tens digit of 60142199?
9
What is the hundred thousands digit of 665590124?
5
What is the tens digit of 14478765?
6
What is the ten millions digit of 45294058?
4
What is the tens digit of 48382477?
7
What is the hundred thousands digit of 1089450254?
4
What is the thousands digit of 242782179?
2
What is the ten millions digit of 941125300?
4
What is the hundred millions digit of 144631358?
1
What is the millions digit of 8451696?
8
What is the ten thousands digit of 269748651?
4
What is the units digit of 144028399?
9
What is the hundreds digit of 180377193?
1
What is the tens digit of 8014507701?
0
What is the thousands digit of 1315724978?
4
What is the hundred thousands digit of 6131161032?
1
What is the ten millions digit of 2075242871?
7
What is the hundreds digit of 384617415?
4
What is the tens digit of 220404586?
8
What is the hundred thousands digit of 69840703?
8
What is the millions digit of 1744199748?
4
What is the hundreds digit of 39449091?
0
What is the ten thousands digit of 2866055719?
5
What is the hundreds digit of 3161152871?
8
What is the millions digit of 2750944248?
0
What is the units digit of 2570710003?
3
What is the ten millions digit of 1066946603?
6
What is the hundreds digit of 139993871?
8
What is the tens digit of 46676410?
1
What is the hundred millions digit of 5682580893?
6
What is the units digit of 1358088880?
0
What is the units digit of 985415956?
6
|
{
"pile_set_name": "DM Mathematics"
}
|
-4, o in ascending order.
-4, o, l
Let j = -3/134 - -319/2278. Let d = j - 44/85. Let f = -0.1 - 0.9. Sort d, -1/2, f in descending order.
d, -1/2, f
Let b be -3*2/(2/1). Suppose -3*r + 3 = -3*g, -13 + 6 = -3*r + 2*g. Sort 2, r, b in descending order.
r, 2, b
Let s = 1 + 1. Let v = 0.6 - 0.6. Let q = 0 - v. Sort s, 0.4, q in increasing order.
q, 0.4, s
Let i = -13/80 - -1/16. Let k(m) = m**2 - 14*m - 48. Let s be k(17). Let o = -2/21 - -25/42. Sort o, s, i in decreasing order.
s, o, i
Let m = -8 + -66. Let y = m + 293/4. Put -2, 5, y in increasing order.
-2, y, 5
Let s = 41 - 43. Let h(d) = 12*d**2 + 14*d + 17. Let w(b) = -4*b**2 - 5*b - 6. Let a(u) = -6*h(u) - 17*w(u). Let y be a(1). Sort y, -2/5, s in decreasing order.
-2/5, s, y
Let v = -7 + 2. Put v, 0.1, 1/13 in decreasing order.
0.1, 1/13, v
Let d = 8 + -7.8. Sort d, -1/3, -3 in descending order.
d, -1/3, -3
Let x = 1 + 1. Let s(i) = -2*i - 8. Let a be s(-7). Let r = a + -1. Put x, r, -5 in descending order.
r, x, -5
Suppose 65 - 352 = -7*b. Sort -5, b, 4 in increasing order.
-5, 4, b
Let k be 2*(1/4)/(23/46). Sort k, -5, -4, -11.
-11, -5, -4, k
Let o be -1*(4 + -1)/(-12). Sort o, -3, -2 in ascending order.
-3, -2, o
Let l be 41/132 + 8/(-32). Put 2/21, l, 2/9 in increasing order.
l, 2/21, 2/9
Let x be (8/(-3))/((-4)/126). Let k = x - 254/3. Put 4/9, 0.3, k in decreasing order.
4/9, 0.3, k
Let d = 3 + -2. Let y = 5 - d. Let q = -1.7 - -2. Sort q, y, 0.5.
q, 0.5, y
Let l = 54 - 55. Sort l, -5, 1/4, 0.1.
-5, l, 0.1, 1/4
Suppose -4*y + 42 - 10 = 0. Suppose -6*f + 20 = -f. Suppose 4*w - y = f. Put -4/3, 0, w in descending order.
w, 0, -4/3
Let x be (4/8)/(1/(-2)). Let i(h) = 2*h - 7. Let t(w) = -w + 3. Let r(j) = 2*i(j) + 5*t(j). Let b be r(x). Sort 5, b, 3 in decreasing order.
5, 3, b
Let g be (4/10)/(11/5). Let m be (-128)/2*(1 + 0). Let v = 257/4 + m. Sort v, 3, g.
g, v, 3
Suppose -4*f + 7 = -1. Suppose -5*v = 1 - 6. Sort f, v, -2.
-2, v, f
Let r = -10 - -6. Suppose 4 + 28 = 8*d. Sort r, -1, d.
r, -1, d
Suppose -77 = -4*l + a - 4*a, 4*l - 76 = -4*a. Suppose 5*y + l = -g, 5*g + 5*y - y + 37 = 0. Put -1, g, 2 in ascending order.
g, -1, 2
Let o(c) = -c + 2. Let h be o(0). Suppose 0 = h*z - 0*z + 8. Let i = 0 + -2. Sort 5, i, z.
z, i, 5
Let n be 35/(-10) + (-2)/4. Sort -5, n, -3 in ascending order.
-5, n, -3
Suppose -3 = -6*r - 9. Put -3, r, -5, -7 in ascending order.
-7, -5, -3, r
Let f(b) = -b**3 + 4*b + 3. Let d be f(-2). Suppose -11 + d = -4*h. Let v be (4/(-2))/(1/h). Sort -1, -5, v in increasing order.
-5, v, -1
Let z = 5 - -19. Let t be (-3)/2*z/(-18). Suppose 0 = t*w + 3*w + 5. Sort 4, w, 3 in decreasing order.
4, 3, w
Let n = 14 - 10. Let j(q) = 2*q + 12. Let i be j(-5). Sort n, i, -1 in decreasing order.
n, i, -1
Let f(o) = o**3 - 4*o**2 + 5*o - 3. Let n be f(3). Sort -5, -4, n in decreasing order.
n, -4, -5
Let l be (-13)/(-91) - (-86)/(-14). Let y be 7 - (7 - l/(-2)). Suppose 3 = -5*t - 17. Sort y, t, -1.
t, -1, y
Suppose -14*h + 13*h + 3 = 0. Put h, -3, -1, -5 in increasing order.
-5, -3, -1, h
Let k(w) = -6*w - 7. Let m be k(-3). Put 0, 3, m in descending order.
m, 3, 0
Let y = -100 - -100. Sort -2/21, 3, y, -2 in increasing order.
-2, -2/21, y, 3
Suppose -2*d = l - 1, 2*d + 5 = 4*l - 3*l. Let w be l*-1*(-16)/(-24). Let x(k) = k**2 - 5*k + 2. Let q be x(3). Sort w, q, 1 in decreasing order.
1, w, q
Let t(q) be the first derivative of -q**2/2 - 3*q + 3. Let o be t(-6). Suppose -5*y + o*u = -32, 4*y - 3*u - 25 - 3 = 0. Sort -4, y, 5 in ascending order.
-4, y, 5
Suppose v + 0*v = -j - 12, 5*v - 2*j + 25 = 0. Put 0.1, v, -0.3 in descending order.
0.1, -0.3, v
Let l = 2.5 - 0.5. Let a = 4.7 + -4. Let f = a - 0.6. Sort f, -4/5, l in decreasing order.
l, f, -4/5
Let f be ((-8)/5)/(10/25). Let v = 1 - 6. Put v, 3, f in decreasing order.
3, f, v
Let z be (3/(-10))/(21/28). Put -1.5, -2/3, z in ascending order.
-1.5, -2/3, z
Let s = -0.05 - -0.05. Let p = -0.2 + s. Sort 3, -1, p in decreasing order.
3, p, -1
Let l = -264 - -1851/7. Let n be 6/3 + 754/(-322). Let a = l + n. Sort -4, -1/7, a in ascending order.
-4, -1/7, a
Let c = -18 - -14. Sort -0.1, -2, c in increasing order.
c, -2, -0.1
Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
l**4 - 3*l**4 + 2*l**4 as k*l + z*l**3 + f*l**4 + g + d*l**2 and give d.
2
Express ((2 + 0 + 0)*(2*n + 2*n - 2*n) + 0*n - 3*n + n - n - 1 + 1)*(-2*n - n - n) in the form h*n**2 + r + y*n and give h.
-4
Express -17*g + 6*g - 202 + 21*g - 13*g as r*g + f and give r.
-3
Express 2*n - 2*n + 2*n - 3*n + 0*n + 5*n + (168 + 132 - 24)*(n - 3*n + 0*n) + (-4*n + n + 2*n)*(2 - 1 + 0) as i + m*n and give m.
-549
Rearrange (-3*r + 0*r + 0*r)*(39*r + 129*r - 285*r - 486*r - 926*r) to t + h*r + l*r**2 and give l.
4587
Express -3*o - 2*o + 6 + 237*o**2 - 6 + 6*o in the form g + y*o**2 + l*o and give l.
1
Rearrange -41 - 207*n**3 - 217*n**3 + 421*n**3 - n**2 to the form i*n**2 + w*n + y*n**3 + f and give y.
-3
Express (-3*q + 2*q + 2*q + (2 + 2 - 2)*(-q - q + q))*(3 - 3 + q) + 83*q - 83*q + 158*q**2 in the form j + v*q**2 + i*q and give v.
157
Rearrange (-283*y - 222*y + 334*y)*(2 + 2*y**2 - 2) to p + h*y + j*y**3 + f*y**2 and give j.
-342
Express 0*w + 6 + 15*w - w - 8 + 23 in the form c*w + t and give t.
21
Rearrange 11474*m**4 + 0*m**2 - 2*m**2 - 11486*m**4 + (-5*m**3 + 5*m**3 + m**4)*(2 - 1 - 3) to a + v*m**4 + r*m**3 + z*m**2 + o*m and give z.
-2
Express 649 - 1295 + 646 - 1292*b in the form s + y*b and give y.
-1292
Rearrange ((0*m + 2*m - 3*m)*(-1 + 2 + 0) + 2*m - 4*m + m + 3*m - m - m)*(-9 - 11 + 7) + (2 + 3 - 3)*(-6 - 4*m + 6)*(6 - 4 + 0) to the form v + w*m and give w.
-3
Rearrange -730*q**3 - 4 + 4 - 4 + 739*q**3 to h*q**2 + c*q + u*q**3 + m and give m.
-4
Express 2*q**2 + 13*q - 3*q**3 - 5*q + 1 - q + q**4 - 5*q in the form z*q + o*q**3 + d*q**2 + i + n*q**4 and give z.
2
Express (-2*a + 2*a + a)*(778 - 44 - 1057 - 546 - 1292) as i + g*a and give g.
-2161
Rearrange (-496*m - 209*m + 96*m + 33*m - 590*m)*(0 + 0 - m) to the form o*m**2 + b*m + z and give o.
1166
Rearrange -79*g**4 + 105*g**4 - 1 + 33*g**4 + 33*g**4 - g**2 to the form r*g**2 + v + p*g**4 + f*g + s*g**3 and give p.
92
Express 31*y + 34*y - 2 - 9*y + 6*y as a + j*y and give j.
62
Rearrange 2*n**3 - 7*n + 2*n + n**2 + 55 - 57 to the form v + a*n**3 + h*n**2 + w*n and give w.
-5
Express 195*k**2 - 46*k - 394*k**2 + 194*k**2 as z + v*k**2 + j*k and give v.
-5
Rearrange (3 - 1 + 0)*(-3*b**3 + 3*b**3 - 3*b**3) + (-3*b + 3*b + 2*b**2)*(-2 + 2 + b) - 12*b + 12*b + 2*b**3 to the form w + u*b + g*b**3 + z*b**2 and give g.
-2
Express -322 + 281*i + 322 in the form k + s*i and give s.
281
Rearrange 6*b + 15 - 5 - 7 + 19 to the form c*b + i and give c.
6
Rearrange -15*c**3 - 6*c**4 + 8*c**2 - 17*c**3 + 2 + 4*c**4 + 0*c**4 + 39*c**3 to the form m*c**4 + z*c**2 + l + o*c**3 + r*c and give m.
-2
Express -2*d**4 + d - 82*d**2 - 71*d**2 + 1 - 7*d**3 + 151*d**2 in the form q*d**2 + a + r*d**4 + g*d**3 + m*d and give g.
-7
Rearrange -360*b - 509*b + 103*b to g + s*b and give s.
-766
Express 18 - 4*l**2 - 149*l + 149*l in the form q*l + b*l**2 + w and give w.
18
Express 7 - 51*f**2 - 2 + 47*f**2 - 5 - 32*f as w*f**2 + k + g*f and give g.
-32
Express -196*r - 249*r + 69*r as c*r + d and give d.
0
Rearrange (3 - 3 + 5*k)*(-11 - 5 - 11)*((-3 + 1 + 3)*(-1 + 4 - 2) - 2 - 1 + 1) to the form v + y*k and give y.
135
Express 56*p**3 + 89*p**3 + 31 - 11 - 12 - 10 - p**4 in the form s*p**4 + t*p**2 + j*p + a*p**3 + g and give s.
-1
Express -64*p**2 + 2 + 62*p**2 + 8*p - 4 in the form a + l*p**2 + t*p and give l.
-2
Rearrange -2*b - b + 2*b + (-2 + 2 + 2*b)*(-2 + 2 + 1) - b + 3*b - b - 2*b + b + 3*b - 89*b + 232*b - 102*b to the form x*b + z and give x.
45
Rearrange (0*x + 2*x**2 + 0*x)*(0*x**2 - 3*x**2 + x**2) + 4152 - 4152 - 438*x**4 to the form t*x + l*x**4 + y*x**2 + r + n*x**3 and give l.
-442
Express (-184 + 2495 + 531 - 786)*(u + 1 - 2*u**4 - 1) as w*u**3 + v*u**2 + x*u**4 + n + a*u and give a.
2056
Rearrange (-4*v + v + v)*(v - 2*v - v) + 0*v**2 + 2*v**2 + v**2 - 16*v - v**2 - 10*v**2 + 15*v to the form n*v + f + s*v**2 and give s.
-4
Rearrange 1 + 1638*g**3 - 21*g**4 - 820*g**3 - 797*g**3 to the form l*g**4 + u*g + q*g**3 + v + a*g**2 and give q.
21
Rearrange (138*v**2 - 2511 - 13*v**2 + 2508)*(1 - v**2 - 2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {c: 2, a: 1, v: 1, g: 2, y: 1, w: 1}. Give prob of picking 1 y, 1 v, 1 g, and 1 w.
1/35
Four letters picked without replacement from mbffbmfbbbbfbbbfmmbf. What is prob of picking 2 b and 2 f?
45/323
Three letters picked without replacement from {j: 5}. Give prob of picking 3 j.
1
What is prob of picking 2 b and 1 t when three letters picked without replacement from tnnbb?
1/10
Calculate prob of picking 1 d and 1 y when two letters picked without replacement from krdynyaaydrradnda.
3/34
What is prob of picking 1 g and 1 j when two letters picked without replacement from {y: 2, g: 5, z: 2, j: 3}?
5/22
Two letters picked without replacement from {y: 7, q: 6, c: 5, e: 1}. Give prob of picking 2 c.
10/171
Two letters picked without replacement from vqvqstssvvaqsf. What is prob of picking 1 s and 1 t?
4/91
Two letters picked without replacement from {m: 10, o: 6, s: 4}. What is prob of picking 1 s and 1 o?
12/95
Calculate prob of picking 1 z, 1 k, and 2 r when four letters picked without replacement from rrkroozkkzrn.
4/55
Four letters picked without replacement from wnwzznnz. Give prob of picking 1 z and 3 n.
3/70
Four letters picked without replacement from rrrrrrbr. What is prob of picking 3 r and 1 b?
1/2
Three letters picked without replacement from nolgwjl. Give prob of picking 2 l and 1 o.
1/35
Four letters picked without replacement from {v: 2, k: 3, j: 10}. Give prob of picking 3 j and 1 v.
16/91
Four letters picked without replacement from {i: 1, r: 5, f: 11}. What is prob of picking 3 f and 1 r?
165/476
Three letters picked without replacement from appzbcb. What is prob of picking 1 b, 1 z, and 1 p?
4/35
Two letters picked without replacement from {x: 4, a: 1, l: 2}. What is prob of picking 2 l?
1/21
What is prob of picking 2 b and 1 k when three letters picked without replacement from lbickbc?
1/35
Two letters picked without replacement from gtgkggggkktkgtt. What is prob of picking 2 g?
1/5
Calculate prob of picking 2 z when two letters picked without replacement from {w: 4, o: 1, z: 5}.
2/9
Three letters picked without replacement from {s: 4, e: 1, p: 5, r: 6, t: 4}. What is prob of picking 1 r, 1 e, and 1 t?
2/95
Four letters picked without replacement from lbfrfbfbrrururfrufbu. What is prob of picking 2 u, 1 b, and 1 f?
8/323
What is prob of picking 3 a when three letters picked without replacement from aiiiaiiaiaaaiaaiaaii?
2/19
What is prob of picking 2 e when two letters picked without replacement from {d: 1, e: 2}?
1/3
Three letters picked without replacement from {j: 5, k: 8}. What is prob of picking 3 j?
5/143
Two letters picked without replacement from {v: 1, s: 9, k: 2, f: 7, t: 1}. Give prob of picking 1 v and 1 s.
9/190
Four letters picked without replacement from {b: 5}. What is prob of picking 4 b?
1
Three letters picked without replacement from hxhxdhxhhbhbbbxb. What is prob of picking 3 x?
1/140
What is prob of picking 1 n and 1 y when two letters picked without replacement from snssrsmymrmf?
1/66
What is prob of picking 1 e and 2 b when three letters picked without replacement from ekebebbkkbkbk?
15/143
Two letters picked without replacement from xvvxvxxvvuxxvxvxvu. Give prob of picking 2 u.
1/153
Three letters picked without replacement from {t: 11, b: 9}. What is prob of picking 2 b and 1 t?
33/95
Calculate prob of picking 3 m when three letters picked without replacement from {m: 11, w: 3}.
165/364
Four letters picked without replacement from {u: 3, t: 1, r: 8, x: 4, w: 1}. Give prob of picking 2 u, 1 w, and 1 x.
3/595
Calculate prob of picking 1 p and 2 y when three letters picked without replacement from zyzyzzyzppyyyyyyyz.
15/136
Two letters picked without replacement from {p: 9, f: 2}. What is prob of picking 2 f?
1/55
Four letters picked without replacement from wwwww. Give prob of picking 4 w.
1
Calculate prob of picking 2 r and 1 k when three letters picked without replacement from krkrkrkrkkrrrk.
21/52
What is prob of picking 1 i and 3 s when four letters picked without replacement from issis?
2/5
Three letters picked without replacement from {u: 1, i: 3, w: 2, c: 1, o: 10}. Give prob of picking 3 i.
1/680
Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {l: 2, h: 1, d: 2, r: 6, t: 1}.
1/220
Calculate prob of picking 2 t and 1 b when three letters picked without replacement from btfbt.
1/5
Calculate prob of picking 1 o and 2 t when three letters picked without replacement from xocttcoooxxxccooxo.
7/816
Two letters picked without replacement from {k: 1, e: 4, s: 5, n: 1, y: 2, t: 2}. What is prob of picking 1 e and 1 n?
4/105
Four letters picked without replacement from fyttttrffrtry. Give prob of picking 3 f and 1 t.
1/143
Two letters picked without replacement from kbbclbbbdk. Give prob of picking 1 d and 1 b.
1/9
Calculate prob of picking 2 d when two letters picked without replacement from odoodo.
1/15
Two letters picked without replacement from kkbba. What is prob of picking 2 k?
1/10
Four letters picked without replacement from {c: 1, h: 2, o: 1, y: 2, l: 2, u: 1}. Give prob of picking 1 u, 1 y, 1 o, and 1 c.
1/63
Calculate prob of picking 2 t and 1 i when three letters picked without replacement from mtttibttm.
5/42
Calculate prob of picking 1 p, 1 b, and 1 y when three letters picked without replacement from cybbppypby.
9/40
Two letters picked without replacement from {c: 3, b: 3, t: 1, m: 2, i: 1}. Give prob of picking 2 i.
0
Three letters picked without replacement from kkkkkkkkkekkk. Give prob of picking 3 k.
10/13
Two letters picked without replacement from {b: 1, w: 1, o: 2, g: 2}. What is prob of picking 2 g?
1/15
What is prob of picking 1 o, 1 g, and 1 p when three letters picked without replacement from {g: 3, b: 1, e: 6, p: 5, y: 3, o: 1}?
5/323
What is prob of picking 1 d, 1 x, and 1 o when three letters picked without replacement from {o: 2, i: 4, d: 1, x: 1}?
1/28
What is prob of picking 2 z when two letters picked without replacement from nzz?
1/3
What is prob of picking 2 j and 2 i when four letters picked without replacement from jiiijiiiij?
3/10
Three letters picked without replacement from eereerer. What is prob of picking 1 r and 2 e?
15/28
Two letters picked without replacement from {b: 12, l: 1}. What is prob of picking 2 l?
0
Two letters picked without replacement from qppnpndtqqq. What is prob of picking 1 d and 1 q?
4/55
Calculate prob of picking 1 h, 1 b, and 1 m when three letters picked without replacement from {m: 4, c: 2, b: 5, h: 2}.
20/143
Two letters picked without replacement from jccjjmt. What is prob of picking 1 c and 1 j?
2/7
Calculate prob of picking 1 f, 1 a, and 1 g when three letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
placement from hybaaagahamgbba. What is prob of sequence gm?
1/105
Two letters picked without replacement from nsnnsxn. What is prob of sequence nn?
2/7
Two letters picked without replacement from xwdvhtv. Give prob of sequence wd.
1/42
Two letters picked without replacement from riztjjth. What is prob of sequence rj?
1/28
Three letters picked without replacement from jjjjjjkjjjjjjjjjjjj. What is prob of sequence jjj?
16/19
Three letters picked without replacement from coccooccvccovvcc. Give prob of sequence coc.
3/35
Three letters picked without replacement from xyzuybuqq. Give prob of sequence buu.
1/252
Three letters picked without replacement from pppppzpp. Give prob of sequence ppz.
1/8
What is prob of sequence kps when three letters picked without replacement from {w: 7, s: 2, p: 4, k: 2, f: 2}?
1/255
Two letters picked without replacement from {j: 2, l: 1, a: 1, d: 1, f: 2}. What is prob of sequence af?
1/21
Two letters picked without replacement from {z: 10, c: 4}. What is prob of sequence cc?
6/91
Calculate prob of sequence fnb when three letters picked without replacement from zmxnbfz.
1/210
Four letters picked without replacement from {b: 4, c: 7}. What is prob of sequence bbbc?
7/330
Three letters picked without replacement from ifffffidffffdffifdf. Give prob of sequence ifi.
13/969
Three letters picked without replacement from {x: 4, k: 6}. Give prob of sequence kkk.
1/6
What is prob of sequence uuu when three letters picked without replacement from {b: 1, o: 11, u: 5, s: 3}?
1/114
Four letters picked without replacement from ggoooffogogg. What is prob of sequence ggff?
1/297
Four letters picked without replacement from dydydrrdrrrrr. Give prob of sequence rydd.
7/715
Calculate prob of sequence wb when two letters picked without replacement from {c: 1, q: 1, b: 2, j: 5, w: 1}.
1/45
What is prob of sequence bpb when three letters picked without replacement from bpbupubpbpu?
8/165
What is prob of sequence gm when two letters picked without replacement from {z: 2, g: 1, m: 2, b: 1, c: 2, k: 1}?
1/36
What is prob of sequence llf when three letters picked without replacement from lffffl?
1/15
Two letters picked without replacement from {l: 2, h: 2}. What is prob of sequence hh?
1/6
Calculate prob of sequence pdsp when four letters picked without replacement from sdpppppppppdpp.
5/546
What is prob of sequence hh when two letters picked without replacement from {h: 3, o: 1}?
1/2
Calculate prob of sequence jbb when three letters picked without replacement from {v: 2, b: 4, j: 1, z: 1}.
1/28
Three letters picked without replacement from frrvgdzg. What is prob of sequence fzd?
1/336
Two letters picked without replacement from ffqh. Give prob of sequence ff.
1/6
Three letters picked without replacement from heevpeeehphev. Give prob of sequence php.
1/286
Four letters picked without replacement from jiyifffeeiyjyeieesfe. What is prob of sequence yjjs?
1/19380
What is prob of sequence ct when two letters picked without replacement from citirttrctttiiiiiti?
7/171
Four letters picked without replacement from klninnfni. Give prob of sequence inik.
1/378
Three letters picked without replacement from {w: 2, a: 1, z: 1, y: 1}. What is prob of sequence yaw?
1/30
Calculate prob of sequence ea when two letters picked without replacement from {a: 1, e: 1, t: 1, s: 2, p: 2}.
1/42
Calculate prob of sequence wmmc when four letters picked without replacement from mscwrdms.
1/840
Four letters picked without replacement from {p: 1, x: 1, b: 4, t: 2, o: 2}. What is prob of sequence bpto?
1/315
Two letters picked without replacement from uduhuhuduhddukuuuku. What is prob of sequence hk?
1/57
Calculate prob of sequence iii when three letters picked without replacement from iiiii.
1
Three letters picked without replacement from byepj. What is prob of sequence jbe?
1/60
Calculate prob of sequence uu when two letters picked without replacement from vuvuvuuvuvuvuuvuvvvv.
18/95
What is prob of sequence uk when two letters picked without replacement from dkdzdddzukdk?
1/44
Calculate prob of sequence fpzz when four letters picked without replacement from ppfzpzpf.
1/105
Two letters picked without replacement from vlvvl. What is prob of sequence vl?
3/10
Four letters picked without replacement from {o: 5, v: 11}. What is prob of sequence ovvo?
55/1092
Four letters picked without replacement from {i: 1, a: 1, q: 2, b: 1}. Give prob of sequence ibqa.
1/60
What is prob of sequence ooe when three letters picked without replacement from {e: 3, o: 5}?
5/28
Four letters picked without replacement from hheoh. What is prob of sequence eeho?
0
What is prob of sequence uww when three letters picked without replacement from {w: 5, u: 7}?
7/66
Calculate prob of sequence ifj when three letters picked without replacement from {n: 8, w: 1, j: 1, i: 2, f: 5}.
1/408
What is prob of sequence mkpp when four letters picked without replacement from {m: 7, p: 4, w: 1, q: 3, k: 3}?
7/2040
Three letters picked without replacement from {a: 2, g: 8, r: 5, x: 1}. Give prob of sequence xga.
1/210
Three letters picked without replacement from {g: 1, u: 5, s: 1, q: 5, l: 1, j: 1}. What is prob of sequence qjq?
5/546
What is prob of sequence fwkf when four letters picked without replacement from kfcwfc?
1/180
Calculate prob of sequence kvj when three letters picked without replacement from {v: 1, k: 6, j: 7}.
1/52
Calculate prob of sequence lf when two letters picked without replacement from ffllfflllfff.
35/132
Four letters picked without replacement from {d: 3, q: 6, c: 3, s: 2, g: 2}. Give prob of sequence gsqq.
1/364
What is prob of sequence ndd when three letters picked without replacement from ddn?
1/3
Calculate prob of sequence krkr when four letters picked without replacement from {r: 12, k: 7}.
77/1292
Calculate prob of sequence xz when two letters picked without replacement from bzfhdbx.
1/42
Three letters picked without replacement from {o: 3, g: 4, d: 2}. Give prob of sequence goo.
1/21
Calculate prob of sequence rart when four letters picked without replacement from {f: 1, r: 2, a: 1, t: 2}.
1/90
Three letters picked without replacement from {z: 7, p: 2, y: 6}. Give prob of sequence yzz.
6/65
Four letters picked without replacement from {w: 3, s: 1, f: 4}. What is prob of sequence wsfw?
1/70
Four letters picked without replacement from {b: 7, d: 7}. What is prob of sequence ddbd?
35/572
Four letters picked without replacement from ccmmccmcccmccpmcc. What is prob of sequence cmcp?
55/5712
Calculate prob of sequence oimi when four letters picked without replacement from mmioimiomm.
1/84
Four letters picked without replacement from {j: 5, m: 8}. Give prob of sequence mjmm.
14/143
Calculate prob of sequence sqrs when four letters picked without replacement from {s: 4, q: 1, i: 2, r: 4}.
1/165
Three letters picked without replacement from {j: 1, o: 1, p: 3, k: 3, v: 2, i: 1}. What is prob of sequence kpj?
1/110
Three letters picked without replacement from {c
|
{
"pile_set_name": "DM Mathematics"
}
|
3458.8
Product of -4 and 4573.
-18292
Multiply -9.39 and 71.
-666.69
-283*6
-1698
What is 18631 times 0.14?
2608.34
-22560 * 2
-45120
What is 0.1 times 443203?
44320.3
Work out -0.2 * 164301.
-32860.2
What is 14240 times 3?
42720
Calculate -319.2*0.108.
-34.4736
-142907 * 4
-571628
-5 * 42141
-210705
What is -0.11 times 24141?
-2655.51
-480 times 2270
-1089600
Work out -23 * 90.
-2070
Product of -155.8089 and 0.4.
-62.32356
What is -217646 times 0.3?
-65293.8
0.4 * -9.7006
-3.88024
What is -5 times -1317302?
6586510
Product of 3 and -10360.
-31080
-0.043 * 1803
-77.529
Work out -4 * 791062.
-3164248
Calculate 0.04*241.666.
9.66664
Multiply -41974 and 1.4.
-58763.6
Multiply -0.5 and 13.677.
-6.8385
Product of 18 and 49.5.
891
Multiply -0.3 and 603541.
-181062.3
What is 1 times -8760?
-8760
Calculate -77747*-5.
388735
3.2568*0.08
0.260544
Work out -252 * -0.17.
42.84
What is the product of -6.78 and 77?
-522.06
63250 times -10
-632500
Calculate -47.3*-17.
804.1
Work out -721 * 319.
-229999
0.0439 * 11
0.4829
4.9 times 3868
18953.2
-1355643*-2
2711286
-0.68 * -0.58
0.3944
Work out 0.01 * 5150.2.
51.502
-152066 times -1.3
197685.8
1.0438 times -19
-19.8322
-11354 * 0
0
What is the product of 0.2 and -3323?
-664.6
3.5013*-3
-10.5039
What is the product of 1.5 and 0.258677?
0.3880155
-6 times -0.19713
1.18278
0.5 * 416145
208072.5
Calculate -0.113*-2155.
243.515
-39.75 times -42
1669.5
12954.2 * -0.2
-2590.84
Calculate -6.3*-67543.
425520.9
What is the product of -0.23072 and 0.9?
-0.207648
Calculate -4492*-0.3.
1347.6
79 times 196
15484
-4.868 times -0.2
0.9736
Calculate 51.667*1.
51.667
Multiply 55.4914 and 1.
55.4914
Work out 4 * 1.1479.
4.5916
Work out 1172.7 * -43.
-50426.1
-0.5667*0.0192
-0.01088064
Work out -5 * -809962.
4049810
172*-0.02
-3.44
What is 22129 times -10?
-221290
What is the product of 0.0945 and 0.5?
0.04725
Work out 11213 * -6.
-67278
Calculate 2.373*44.
104.412
Product of -0.104101 and -1.
0.104101
-0.5 times 8455
-4227.5
What is -5 times -192868?
964340
What is 1 times -18219?
-18219
-5*-1.1668
5.834
Multiply 0.089 and -10162.
-904.418
Calculate 0.3*-11148.
-3344.4
What is the product of -16534.5 and 1?
-16534.5
-1091 * 0.115
-125.465
Multiply -792 and -1173.
929016
What is the product of 0.8 and 19.07?
15.256
What is 26.2 times 2?
52.4
-478 * -5.8
2772.4
-0.4*-147078
58831.2
Product of -0.5 and -96779.
48389.5
What is 132 times -678.9?
-89614.8
Calculate 0.205*211.
43.255
-0.1 times 17147
-1714.7
What is 0.237 times 73?
17.301
Calculate -0.052289*-0.4.
0.0209156
What is the product of 15 and -0.89?
-13.35
Product of -17206.1 and 5.
-86030.5
282245 times -0.3
-84673.5
Product of -3278.9 and 5.
-16394.5
Calculate 99*443.
43857
Multiply 67 and 3.3797.
226.4399
-1 * 15642
-15642
What is -510.41 times 2?
-1020.82
Multiply -10 and -1810.
18100
What is the product of -0.4 and -125.781?
50.3124
22484 times 1.7
38222.8
Work out 3 * -631719.
-1895157
Work out 1330.6 * -137.
-182292.2
What is the product of -6.8 and -92?
625.6
Multiply -0.3296 and 3.2.
-1.05472
0.4*0.046282
0.0185128
Product of -53075 and -0.2.
10615
Product of 5 and 0.019838.
0.09919
What is 569 times -2227?
-1267163
-83.4912*0.5
-41.7456
Calculate 0.5*20414.
10207
-3*-67074
201222
-0.3 times -88.8
26.64
What is the product of -101 and -0.07?
7.07
Multiply 0.04162 and 10.
0.4162
Work out -0.11 * -211.
23.21
What is the product of 3 and -15684?
-47052
What is the product of -0.46 and 0.10288?
-0.0473248
Calculate -0.2*-9350.
1870
37 * -33.51
-1239.87
Calculate -4*9578.
-38312
Work out 113 * -77.
-8701
-5882*-0.7
4117.4
What is -32 times -0.02282?
0.73024
What is -0.2 times -11982?
2396.4
Multiply 15 and 1340.
20100
Calculate 1.8*127212.
228981.6
Calculate -128*-0.246.
31.488
-1025.6 * 0.02
-20.512
What is 0.09 times 70.33?
6.3297
Product of -2971 and 13.
-38623
Product of -0.3 and -3.873.
1.1619
111.44 times 7
780.08
Calculate -4.2*-103.413.
434.3346
What is the product of 0.4 and 5970.99?
2388.396
Calculate 0.1*331850.
33185
What is 1.9233 times -0.5?
-0.96165
-0.298206 * -0.5
0.149103
Calculate -0.042*2.252.
-0.094584
Work out -16 * 0.4248.
-6.7968
1099 * 2298
2525502
What is the product of -2.185 and -306?
668.61
What is the product of 2 and -224236?
-448472
-40.
|
{
"pile_set_name": "DM Mathematics"
}
|
from fishx.
1/10
What is prob of picking 1 p, 2 z, and 1 a when four letters picked without replacement from zzkapkk?
1/35
What is prob of picking 1 y and 2 i when three letters picked without replacement from {z: 2, k: 5, y: 3, e: 1, i: 5}?
3/56
Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {m: 4, v: 1, z: 5}.
1/9
Three letters picked without replacement from {l: 1, w: 3, y: 5}. Give prob of picking 3 w.
1/84
Four letters picked without replacement from abaabb. What is prob of picking 1 b and 3 a?
1/5
Calculate prob of picking 1 b, 1 m, and 2 w when four letters picked without replacement from {m: 1, b: 1, w: 2, e: 2, c: 2, a: 1}.
1/126
Four letters picked without replacement from fkvzmzfkfffzmkq. What is prob of picking 1 k and 3 f?
2/91
What is prob of picking 1 q and 1 v when two letters picked without replacement from {q: 1, v: 1, x: 1}?
1/3
Two letters picked without replacement from {y: 2, n: 4, j: 1, p: 1, w: 1}. Give prob of picking 1 w and 1 j.
1/36
Calculate prob of picking 1 w and 3 l when four letters picked without replacement from lswwllwwtltlwdlswlwt.
49/969
Four letters picked without replacement from {b: 5, o: 5, k: 8}. What is prob of picking 2 b and 2 k?
14/153
Four letters picked without replacement from dhhdmhhddhmh. What is prob of picking 2 d and 2 h?
2/11
Four letters picked without replacement from {w: 2, l: 3, p: 1, c: 2, g: 4}. Give prob of picking 2 g, 1 c, and 1 w.
8/165
What is prob of picking 3 s when three letters picked without replacement from {s: 3}?
1
Three letters picked without replacement from {z: 6}. Give prob of picking 3 z.
1
Four letters picked without replacement from {y: 12, u: 7}. Give prob of picking 2 u and 2 y.
231/646
Two letters picked without replacement from {r: 2, i: 4, c: 9, o: 3, t: 1}. What is prob of picking 1 r and 1 c?
2/19
Four letters picked without replacement from nmxnb. Give prob of picking 1 m, 1 b, and 2 n.
1/5
Two letters picked without replacement from dshshbhhr. Give prob of picking 1 s and 1 h.
2/9
Three letters picked without replacement from {e: 7, q: 3}. Give prob of picking 3 q.
1/120
Two letters picked without replacement from {s: 3, n: 1, g: 1, v: 9}. What is prob of picking 1 s and 1 g?
3/91
What is prob of picking 3 g when three letters picked without replacement from cigpgzt?
0
Four letters picked without replacement from {k: 1, r: 3, w: 6, y: 4}. What is prob of picking 1 r and 3 y?
12/1001
What is prob of picking 2 j when two letters picked without replacement from {e: 1, p: 1, j: 2, r: 1}?
1/10
What is prob of picking 1 f, 1 o, and 1 j when three letters picked without replacement from fcocjoobbboooo?
1/52
Three letters picked without replacement from mmmmmmgcmmmmmc. What is prob of picking 1 c and 2 g?
0
What is prob of picking 1 z, 1 o, and 1 s when three letters picked without replacement from {z: 5, c: 2, n: 3, o: 8, s: 1}?
40/969
What is prob of picking 1 m and 3 k when four letters picked without replacement from {m: 4, l: 2, k: 7}?
28/143
Four letters picked without replacement from {g: 2, c: 4, z: 4, s: 1}. Give prob of picking 1 z, 2 c, and 1 s.
4/55
What is prob of picking 4 u when four letters picked without replacement from uuuqqququq?
1/42
Four letters picked without replacement from twwmmtttmttmmmm. What is prob of picking 2 t, 1 w, and 1 m?
2/13
Two letters picked without replacement from cdodgggg. What is prob of picking 1 d and 1 c?
1/14
Two letters picked without replacement from aaaqqaaasaqaasaqaqq. Give prob of picking 1 q and 1 s.
4/57
Two letters picked without replacement from iiiiiisisiiiiisisi. Give prob of picking 2 i.
91/153
Three letters picked without replacement from lllvvlvvvkkfkvllk. What is prob of picking 1 k and 2 v?
3/34
Three letters picked without replacement from {u: 4, l: 1, c: 4, i: 1}. What is prob of picking 1 c and 2 u?
1/5
Four letters picked without replacement from {f: 8, j: 3, s: 2, o: 6}. What is prob of picking 2 j, 1 f, and 1 o?
12/323
Three letters picked without replacement from {t: 7, b: 6}. What is prob of picking 1 t and 2 b?
105/286
Three letters picked without replacement from ryrryryr. Give prob of picking 2 y and 1 r.
15/56
What is prob of picking 1 k and 1 n when two letters picked without replacement from {n: 4, j: 1, q: 1, f: 4, k: 1, w: 1}?
2/33
Four letters picked without replacement from {y: 2, z: 18}. What is prob of picking 2 y and 2 z?
3/95
Three letters picked without replacement from wwwo. Give prob of picking 1 o and 2 w.
3/4
What is prob of picking 3 p when three letters picked without replacement from pvpppppvvvppppvop?
33/136
Calculate prob of picking 1 e, 1 c, and 1 g when three letters picked without replacement from {c: 2, g: 1, u: 4, e: 2, p: 1}.
1/30
Four letters picked without replacement from rraaapaawhrazzaa. Give prob of picking 1 r, 1 z, 1 h, and 1 p.
3/910
What is prob of picking 2 p, 1 g, and 1 y when four letters picked without replacement from {x: 2, g: 5, p: 2, y: 2, b: 1, e: 1}?
2/143
Four letters picked without replacement from fetkbeeetkte. Give prob of picking 2 e, 1 t, and 1 k.
4/33
What is prob of picking 1 l and 1 s when two letters picked without replacement from lllllllsllslslllllsl?
32/95
Calculate prob of picking 2 n and 1 w when three letters picked without replacement from wtnmatttmtmwtmnnaa.
1/136
Calculate prob of picking 1 q and 3 r when four letters picked without replacement from rrrrrrrrqqrqrrr.
44/91
Calculate prob of picking 3 l when three letters picked without replacement from llllll.
1
Calculate prob of picking 1 j, 1 r, and 1 g when three letters picked without replacement from {u: 5, g: 6, m: 2, j: 2, i: 1, r: 1}.
3/170
Three letters picked without replacement from {i: 1, m: 1, z: 2, r: 4, d: 1, g: 3}. Give prob of picking 2 g and 1 r.
3/55
Calculate prob of picking 1 w and 2 o when three letters picked without replacement from bwbowwbbbbwwbobbbbb.
5/969
Two letters picked without replacement from uiiiiiviiiaiauuupia. Give prob of picking 1 i and 1 u.
40/171
Four letters picked without replacement from {l: 2, t: 10, b: 6}. Give prob of picking 1 t, 1 l, and 2 b.
5/51
What is prob of picking 2 z when two letters picked without replacement from vvzzv?
1/10
Two letters picked without replacement from fttjmtft. Give prob of picking 2 f.
1/28
Three letters picked without replacement from {f: 2, h: 1, i: 4, d: 3, y: 3, s: 2}. Give prob of picking 1 s and 2 i.
12/455
Calculate prob of picking 1 b and 1 s when two letters picked without replacement from sbsbsbss
|
{
"pile_set_name": "DM Mathematics"
}
|
f 69026, 138043, 207062, 276083, 345106, 414131?
d**2 + 69014*d + 11
What is the n'th term of -763, -1601, -2519, -3517, -4595, -5753, -6991?
-40*n**2 - 718*n - 5
What is the u'th term of -7741727, -7741726, -7741725, -7741724, -7741723?
u - 7741728
What is the k'th term of -9267, -9263, -9247, -9213, -9155?
k**3 - 3*k - 9265
What is the z'th term of -472, -1195, -1914, -2629, -3340, -4047, -4750?
2*z**2 - 729*z + 255
What is the a'th term of -120, -154, -256, -462, -808, -1330, -2064?
-6*a**3 + 2*a**2 + 2*a - 118
What is the f'th term of 66293, 132583, 198873, 265163, 331453, 397743?
66290*f + 3
What is the x'th term of 66, 321, 752, 1365, 2166, 3161, 4356, 5757?
x**3 + 82*x**2 + 2*x - 19
What is the x'th term of 60, 628, 2204, 5286, 10372, 17960, 28548, 42634?
83*x**3 + 6*x**2 - 31*x + 2
What is the i'th term of -2029, -1524, -1019, -514, -9, 496?
505*i - 2534
What is the b'th term of 6573, 13141, 19711, 26283, 32857?
b**2 + 6565*b + 7
What is the c'th term of 32041, 32042, 32043, 32044?
c + 32040
What is the i'th term of 100, 190, 268, 334?
-6*i**2 + 108*i - 2
What is the h'th term of -31, -22, 41, 164, 353, 614?
h**3 + 21*h**2 - 61*h + 8
What is the k'th term of 53629, 53695, 53761?
66*k + 53563
What is the w'th term of 333, 1369, 3095, 5505, 8593?
-w**3 + 351*w**2 - 10*w - 7
What is the x'th term of -456, -2145, -5070, -9231, -14628, -21261?
-618*x**2 + 165*x - 3
What is the v'th term of 160, 768, 1840, 3382, 5400?
v**3 + 226*v**2 - 77*v + 10
What is the d'th term of 177, 700, 1569, 2784, 4345?
173*d**2 + 4*d
What is the x'th term of 2053, 4016, 5979, 7942, 9905, 11868?
1963*x + 90
What is the b'th term of 103097, 206195, 309293, 412391, 515489, 618587?
103098*b - 1
What is the b'th term of -128, -240, -354, -470?
-b**2 - 109*b - 18
What is the q'th term of -83051, -83054, -83059, -83066, -83075, -83086, -83099?
-q**2 - 83050
What is the m'th term of -33307, -33314, -33321?
-7*m - 33300
What is the x'th term of -850, -1591, -2306, -2983, -3610, -4175, -4666, -5071?
2*x**3 + x**2 - 758*x - 95
What is the h'th term of -721943, -721945, -721947, -721949?
-2*h - 721941
What is the y'th term of 313579, 313574, 313561, 313534, 313487, 313414, 313309?
-y**3 + 2*y**2 - 4*y + 313582
What is the p'th term of 218301, 436579, 654861, 873147, 1091437?
2*p**2 + 218272*p + 27
What is the j'th term of 504327, 504329, 504333, 504339?
j**2 - j + 504327
What is the d'th term of 39798, 39795, 39792, 39789?
-3*d + 39801
What is the j'th term of -1871, -15540, -52635, -124868, -243951?
-1952*j**3 - j**2 - 2*j + 84
What is the p'th term of -2185, -4399, -6613, -8827, -11041, -13255?
-2214*p + 29
What is the l'th term of -4295, -4260, -4189, -4070, -3891, -3640, -3305, -2874?
2*l**3 + 6*l**2 + 3*l - 4306
What is the n'th term of -376, -707, -1044, -1387, -1736?
-3*n**2 - 322*n - 51
What is the o'th term of -5025, -5299, -5581, -5877, -6193, -6535, -6909?
-o**3 + 2*o**2 - 273*o - 4753
What is the b'th term of 14854, 29695, 44536?
14841*b + 13
What is the x'th term of -113, -459, -1407, -3257, -6309, -10863, -17219, -25677?
-50*x**3 - x**2 + 7*x - 69
What is the i'th term of -36289, -36312, -36339, -36370, -36405, -36444?
-2*i**2 - 17*i - 36270
What is the c'th term of -768, -1253, -1738, -2223?
-485*c - 283
What is the t'th term of -42, -48, -52, -60, -78, -112, -168, -252?
-t**3 + 7*t**2 - 20*t - 28
What is the g'th term of -42, 70, 270, 570, 982, 1518?
2*g**3 + 32*g**2 + 2*g - 78
What is the g'th term of -2594, -2430, -2282, -2156, -2058, -1994, -1970?
-g**3 - 2*g**2 + 177*g - 2768
What is the l'th term of -122, -31, 166, 523, 1094, 1933?
9*l**3 - l**2 + 31*l - 161
What is the q'th term of -656, -1268, -1880?
-612*q - 44
What is the n'th term of 472, 392, 302, 196, 68, -88, -278?
-n**3 + n**2 - 76*n + 548
What is the f'th term of -372, -495, -694, -963, -1296, -1687, -2130?
f**3 - 44*f**2 + 2*f - 331
What is the y'th term of -128879, -128887, -128895, -128903?
-8*y - 128871
What is the m'th term of -45, -197, -451, -807, -1265?
-51*m**2 + m + 5
What is the b'th term of -292, -254, -204, -154, -116, -102?
-2*b**3 + 18*b**2 - 2*b - 306
What is the q'th term of -226, -775, -1646, -2839?
-161*q**2 - 66*q + 1
What is the h'th term of -383, -316, -281, -284, -331, -428,
|
{
"pile_set_name": "DM Mathematics"
}
|
(m + 1)**2/3
Suppose -20*c**4 + 77/2*c**3 + 2*c**2 + 3/2*c**5 + 0 - 22*c = 0. What is c?
-2/3, 0, 1, 2, 11
Let j(d) be the first derivative of -d**6/18 + 22*d**5/15 - 97*d**4/12 - 88*d**3/3 - 24*d**2 + 7449. Determine o so that j(o) = 0.
-1, 0, 12
Let d(o) be the first derivative of o**4/3 + 500*o**3/3 + 23562*o**2 + 139876*o/3 - 1005. Factor d(z).
4*(z + 1)*(z + 187)**2/3
Let u(k) be the third derivative of -5*k**8/252 + 11*k**7/18 + 233*k**6/72 + 197*k**5/36 + 115*k**4/72 - 55*k**3/9 + 6*k**2 - k + 16. What is h in u(h) = 0?
-1, 1/4, 22
Let n(d) = 3*d**2 + 17*d - 62. Let o be n(3). Determine r so that -2/3*r**3 + o*r + 2*r**2 - 160/3 = 0.
-5, 4
Let w(f) be the third derivative of 0 - 1/20*f**5 + 0*f + 145*f**2 - 3528*f**3 + 21*f**4. Factor w(u).
-3*(u - 84)**2
What is s in 645888 + 699*s - 3*s**2 + 10*s**2 - 4*s**2 - 1241*s - 2242*s = 0?
464
Let i be ((-5)/3 - 1)*(-559845)/10010. Factor -6/7 + i*y - 45414/7*y**2.
-6*(87*y - 1)**2/7
Let i(o) be the third derivative of -o**7/42 - 25*o**6/8 + 100*o**5/3 - 42*o**2 - 2*o + 33. Factor i(w).
-5*w**2*(w - 5)*(w + 80)
Let g(i) = 102*i - 429 + 2 + 19 - 99 - 102. Let h be g(6). Determine f, given that 12/7*f**4 - 1/7*f**5 - 33/7*f + 52/7*f**2 + 8/7 - 38/7*f**h = 0.
1, 8
Let n(c) be the second derivative of c**5/50 + c**4 - 21*c**3/5 - 5292*c**2/5 - 3572*c. Factor n(r).
2*(r - 12)*(r + 21)**2/5
Let b be 12/(-30)*(-15)/36. Let t(c) be the first derivative of 0*c + b*c**6 - 3/4*c**4 + 12 - c**2 + 5/3*c**3 - 1/5*c**5. Find o such that t(o) = 0.
-2, 0, 1
Suppose 77 = -k + 79. Suppose -4*u + 4 = -k*p, 5*p = -4*u + 13 + 5. Factor 8/3*w + 8 + 2/9*w**u.
2*(w + 6)**2/9
Let y = -478657/11 + 43517. Solve 12/11*g**4 + 2/11*g**5 - y*g**3 + 0 + 0*g + 16/11*g**2 = 0 for g.
-8, 0, 1
Let c be (15 - 3) + (-3 - -3)/(-13). Let a(l) be the first derivative of -10/3*l**3 + c*l**2 - 32 - 8*l. Let a(j) = 0. Calculate j.
2/5, 2
Let q(d) be the third derivative of -18*d**2 - 13/36*d**4 + 0 + 0*d + 22/9*d**3 + 1/90*d**5. Solve q(w) = 0 for w.
2, 11
Let z be (-10 - -3) + (-13 - (-549)/27). Factor 1/3*s**3 - z*s - 37/3*s**2 + 37/3.
(s - 37)*(s - 1)*(s + 1)/3
What is g in 0 + 32*g + 44/7*g**2 + 2/7*g**3 = 0?
-14, -8, 0
Let t**3 - 8/5 - 2/5*t**4 - 1/5*t**5 + 2*t**2 - 4/5*t = 0. What is t?
-2, -1, 1, 2
Let r(p) be the first derivative of -p**5 - 1155*p**4/4 - 29645*p**3 - 2282665*p**2/2 - 1241. Factor r(o).
-5*o*(o + 77)**3
Let q(s) be the third derivative of -5651522*s**7/105 - 482447*s**6/15 - 82369*s**5/10 - 14063*s**4/12 - 2401*s**3/24 + 1384*s**2. Factor q(k).
-(82*k + 7)**4/4
Let r(z) be the third derivative of -1/48*z**6 - 141/16*z**4 + 3*z**2 + 0 - 11*z - 91/120*z**5 - 27/4*z**3. Factor r(p).
-(p + 9)**2*(5*p + 1)/2
Let p be 1950/45 - 8/6. Suppose 18*v + p = 32*v. Factor -14/3*b - 10/3*b**2 - 2 - 2/3*b**v.
-2*(b + 1)**2*(b + 3)/3
Let z(t) = 155*t**3 + 1365*t**2 + 5265*t + 5940. Let d(g) = 7*g**3 + 62*g**2 + 239*g + 270. Let y(r) = 45*d(r) - 2*z(r). Determine f so that y(f) = 0.
-6, -3
Let n(h) = -54*h - 2430. Let a be n(-45). Let r(o) be the third derivative of 0*o - 5/6*o**4 + a*o**3 - 1/3*o**5 - 1/24*o**6 + 9*o**2 + 0. Factor r(t).
-5*t*(t + 2)**2
Let o(g) be the second derivative of -g**6/1980 + g**5/165 - g**4/33 + 6*g**3 + 5*g - 9. Let d(h) be the second derivative of o(h). Factor d(y).
-2*(y - 2)**2/11
Let s = -4028 + 4028. Let a(u) be the second derivative of -1/42*u**4 + s + 10*u + 0*u**3 + 4/7*u**2. Factor a(d).
-2*(d - 2)*(d + 2)/7
Let q(w) be the first derivative of -18*w**5/5 + 181*w**4 + 1406*w**3/3 - 1308*w**2 + 504*w + 4383. Let q(a) = 0. Calculate a.
-3, 2/9, 1, 42
Suppose 492 = -9*t + 510. Let u be ((-6)/5)/((-3)/40). Factor -3*d**t + 3*d + 4*d - d**2 + 13*d - u.
-4*(d - 4)*(d - 1)
Let l be 7 - (-10 - 198/(-9)). Let b be (l/25)/(18/(-216)). Suppose 16/5 + 24/5*y + 2/5*y**3 + b*y**2 = 0. What is y?
-2
Factor 90 + 2*b**2 + 52*b + 79 - 331 - 300.
2*(b - 7)*(b + 33)
Let o(n) be the third derivative of n**5/300 + n**4/12 - 4*n**3/5 + 1433*n
|
{
"pile_set_name": "DM Mathematics"
}
|
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