text stringlengths 270 8.19k | meta dict |
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*(sqrt(7) - sqrt(28)))**2 + -1 + (sqrt(7) - (1 + sqrt(7))) + sqrt(7).
sqrt(7) + 425
Simplify (((sqrt(13) - (sqrt(13) + 1)) + -1 - sqrt(13)) + -4)**2.
12*sqrt(13) + 49
Simplify (sqrt(95)/sqrt(5) + sqrt(19) + 3 - (-2 + -1 + sqrt(19)))**2.
12*sqrt(19) + 55
Simplify sqrt(7) + sqrt(7) + sqrt(7)*2 + -5 - (-2 + sqrt(63)).
-3 + sqrt(7)
Simplify sqrt(228)/(6*(sqrt(12) + sqrt(12) + (sqrt(192) - sqrt(12)))).
sqrt(19)/30
Simplify (sqrt(17) - sqrt(34)/sqrt(2)) + -2 + sqrt(17) + (sqrt(170)*1)/sqrt(10).
-2 + 2*sqrt(17)
Simplify (5*(sqrt(275) - (-2 + sqrt(275))) - (sqrt(275) + sqrt(275)*-2*-1))**2.
-300*sqrt(11) + 2575
Simplify sqrt(114)/(sqrt(18)/sqrt(3)) + sqrt(19) - -1*(1*sqrt(19) - sqrt(19)).
2*sqrt(19)
Simplify (1*sqrt(2420))**2*4.
9680
Simplify ((sqrt(143) + 6*1*sqrt(143))/(sqrt(198)/sqrt(2) + sqrt(11)))**2.
637/16
Simplify sqrt(12)/sqrt(96) - (sqrt(144)/sqrt(8))/sqrt(9).
-3*sqrt(2)/4
Simplify sqrt(19) + sqrt(76) + 5 + (2 + sqrt(19) + 4)**2.
60 + 15*sqrt(19)
Simplify 5 + sqrt(95)/sqrt(5) + ((sqrt(190) + -3*sqrt(190))/sqrt(10))**2.
sqrt(19) + 81
Simplify -2 + -3 + sqrt(288).
-5 + 12*sqrt(2)
Simplify sqrt(275) - ((sqrt(275) + -1 + -4)**2 - sqrt(275)).
-300 + 60*sqrt(11)
Simplify (((sqrt(132) - (sqrt(132) + (sqrt(132) - sqrt(132)*2)))*-4)/sqrt(12))**2.
176
Simplify (sqrt(105)/sqrt(3)*-2)/(sqrt(7) - sqrt(28)/sqrt(100)).
-5*sqrt(5)/2
Simplify 5 + (sqrt(396) - ((sqrt(396)*3 - sqrt(396)) + sqrt(396))).
-12*sqrt(11) + 5
Simplify ((sqrt(1700) - -5*(-1 + sqrt(1700))) + (sqrt(1700) - (1 + sqrt(1700))) + 2)**2.
-480*sqrt(17) + 61216
Simplify ((sqrt(190) + (sqrt(190) - sqrt(190)*-1)*5)/(((sqrt(100)*2 - sqrt(100)) + sqrt(100))/sqrt(10)))**2.
2299/4
Simplify (sqrt(81) - sqrt(81)*-2)/((sqrt(15) - sqrt(135))/sqrt(5)).
-9*sqrt(3)/2
Simplify (sqrt(468) + -1 + 5 - (-2 + sqrt(468))*1)**2.
36
Simplify (sqrt(132)/sqrt(4)*-6)/(2*sqrt(99) + sqrt(99) - sqrt(11)).
-3*sqrt(3)/4
Simplify 4*(sqrt(13) + sqrt(65)/(sqrt(20)/sqrt(4)) + sqrt(13)).
12*sqrt(13)
Simplify ((sqrt(98)/(sqrt(2) - (sqrt(2) + sqrt(10)/sqrt(5))))/(sqrt(252)/sqrt(9)))**2.
7/4
Simplify (sqrt(560)/sqrt(5) - (-4 + sqrt(7) + 1)) + 1.
4 + 3*sqrt(7)
Simplify -2 + (2 + sqrt(275) + (sqrt(275) - (-1 + sqrt(275))) + sqrt(275) + 5)**2.
160*sqrt(11) + 1162
Simplify (sqrt(77)/(sqrt(11)*1))**2 + (sqrt(42)/sqrt(2))/sqrt(3).
sqrt(7) + 7
Simplify -1 + ((sqrt(500) + -2 + 2 - sqrt(500)) + sqrt(500))**2.
499
Simplify ((sqrt(108)*-2 + sqrt(108))/sqrt(6))**2.
18
Simplify sqrt(144)/(-3*sqrt(12)).
-2*sqrt(3)/3
Simplify (sqrt(104)*3*1)/sqrt(8).
3*sqrt(13)
Simplify (sqrt(65)*-1 + sqrt(65))/sqrt(5) - (sqrt(13) - (sqrt(26)/sqrt(2) + 1)).
1
Simplify -4 + (6*(sqrt(40) - sqrt(160)/sqrt(4)) - sqrt(40))/sqrt(8).
-4 - sqrt(5)
Simplify (sqrt(3) + 1)*5 + -1*sqrt(6)/sqrt(2).
5 + 4*sqrt(3)
Simplify (-6*sqrt(133)/sqrt(7)*-6)**2.
24624
Simplify -6*(sqrt(104)/sqrt(8) + 0)**2*2.
-156
Simplify ((-1*sqrt(49)*2 + sqrt(49))/(-5*sqrt(7)*2))**2.
7/100
Simplify (sqrt(65) + sqrt(65)*2*4 + sqrt(65))/(sqrt(30)/sqrt(150) + sqrt(5)).
25*sqrt(13)/3
Simplify (-4 + -3 + 4 + sqrt(272))*-6.
-24*sqrt(17) + 18
Simplify (2*sqrt(54))/sqrt(3) - sqrt(18).
3*sqrt(2)
Simplify -1*(-3*sqrt(1200))**2.
-10800
Simplify sqrt(19) - (sqrt(19) + ((sqrt(76)/sqrt(4)*4)**2 - sqrt(19))) - sqrt(19) - (sqrt(38)/(sqrt(4)/sqrt(2)))**2.
-323
Simplify (sqrt(110)*2*6 + sqrt(110))/(-1*1*sqrt(10)).
-13*sqrt(11)
Simplify (1 + sqrt(3) + 3 + 0)**2.
8*sqrt(3) + 19
Simplify (sqrt(34)/sqrt(2))**2*5 + ((sqrt(17) - (sqrt(17) + 1)) + 3)**2 + sqrt(17).
sqrt(17) + 89
Simplify ((-3 + sqrt(3)*-2)*1)**2.
12*sqrt(3) + 21
Simplify ((sqrt(33) - (sqrt(33) - -1*sqrt(33)))/sqrt(3) - (sqrt(22)/sqrt(2))**2*-4) + 2.
-sqrt(11) + 46
Simplify (((sqrt(128) - (sqrt(128)*-2 + sqrt(128))) + sqrt(128))**2 - -3*sqrt(18))*-1.
-1152 - 9*sqrt(2)
Simplify 5*(sqrt(208) - (sqrt(208) + (0 + sqrt(208))**2)).
-1040
Simplify sqrt(38)/(sqrt(2) + (3*sqrt(18) - sqrt(2))).
sqrt(19)/9
Simplify ((sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*-2 + sqrt(121))))*2)/(sqrt(99)*2).
2*sqrt(11)/3
Simplify sqrt(68)/(sqrt(28)/sqrt(7)) + -5.
-5 + sqrt(17)
Simplify (2*sqrt(99))**2 + 3.
399
Simplify -1 + ((-3*(sqrt(143) - -2*sqrt(143)))/sqrt(11))**2.
1052
Simplify ((sqrt(147)*-1 - sqrt(147))/sqrt(3) - sqrt(49))/(sqrt(42)/sqrt(150)).
-15*sqrt(7)
Simplify 2*(sqrt(245) + -1).
-2 + 14*sqrt(5)
Simplify (1*sqrt(2178))/sqrt(864).
11*sqrt(3)/12
Simplify (sqrt(55)/(-1*sqrt(11)*-1)*-4)**2.
80
Simplify sqrt(17) - (-1*sqrt(17))**2*2 - (sqrt(17) + (-3*sqrt(204))/sqrt(12))**2.
-102 + sqrt(17)
Simplify ((3*sqrt(700))/sqrt(4))**2.
1575
Simplify 6*(-2*sqrt(91) + sqrt(91))/sqrt(7) + 5.
-6*sqrt(13) + 5
Simplify (sqrt(26)/sqrt(18) - sqrt(325)*-2)**2.
12493/9
Simplify (5 + 0 + sqrt(252))*4.
20 + 24*sqrt(7)
Simplify (-1*sqrt(2057))**2 + 1.
2058
Simplify 3*sqrt(45)*2.
18*sqrt(5)
Simplify sqrt(15)/(2*sqrt(125)).
sqrt(3)/10
Simplify (sqrt(468)/(sqrt(36)/sqrt(3)) - sqrt(39))/(sqrt(3) - (2*sqrt(18))/sqrt(6)).
0
Simplify (-1 + (sqrt(304)*1 - sqrt(304)))**2 - (-1*sqrt(684) + sqrt(684))**2*-3.
1
Simplify ((-3 + sqrt(567))*5 + 0 + sqrt(567) + 0)**2.
-1620*sqrt(7) + 20637
Simplify (sqrt(85)/(sqrt(15)/sqrt(3))*2)**2.
68
Simplify (-2 + 0 + sqrt(363) + sqrt(363))**2 - sqrt(363).
-99*sqrt(3) + 1456
Simplify sqrt(228)/((sqrt(120) + -2*sqrt(120))/sqrt(10)).
-sqrt(19)
Simplify (sqrt(4)/(sqrt(72)*3 - sqrt(72)))**2.
1/72
Simplify -5 + sqrt(425) + -1.
-6 + 5*sqrt(17)
Simplify (sqrt(77) + sqrt(77)*1*5)/sqrt(11).
6*sqrt(7)
Simplify 2*(sqrt(3) - sqrt(243))**2 + (sqrt(3) + 0 + (sqrt(3) - (sqrt(243) - sqrt(3))))**2.
492
Simplify 1*(-4*(0 + sqrt(539)))**2.
8624
Simplify (5*(sqrt(66) + sqrt(66)*1))/(sqrt(726)*1 + sqrt(6)).
5*sqrt(11)/6
Simplify (sqrt(114)/sqrt(162))/sqrt(3).
sqrt(19)/9
Simplify ((sqrt(85) + 1*sqrt(85))*-6)/(sqrt(500) - -1*sqrt(500)).
-3*sqrt(17)/5
Simplify -6*(-4 + sqrt(27)).
-18*sqrt(3) + 24
Simplify sqrt(84)/(sqrt(1200) - (sqrt(1200)*-1 - sqrt(1200))).
sqrt(7)/30
Simplify sqrt(117) + -2 + sqrt(156)/sqrt(1728).
-2 + 37*sqrt(13)/12
Simplify (4*sqrt(68)/sqrt(4))**2*-6.
-1632
Simplify ((sqrt(60)/sqrt(2))/sqrt(3))/(-3*sqrt(20)) + -2.
-2 - sqrt(2)/6
Simplify (sqrt(171)*2 + -1 - (sqrt(171) - ((0 + sqrt(171))*-4 + sqrt(171))))**2.
12*sqrt(19) + 685
Simplify 5 + (sqrt(2057) - (2*sqrt(2057) - sqrt(2057))) + 3.
8
Simplify -2 + 3 + 1 + sqrt(176) + -2 + sqrt(176).
8*sqrt(11)
Simplify (sqrt(684)*-2)**2 + (sqrt(19) - ((sqrt(133)*-2)/sqrt(7))**2 - sqrt(19)).
2660
Simplify (sqrt(17) - (-1*sqrt(272))**2) + sqrt(17) - (sqrt(170) + sqrt(170)*1)/sqrt(10).
-272
Simplify (((sqrt(49) + sqrt(196)/sqrt(4))*-4)/(sqrt(63)/(sqrt(9)*2)))**2.
1792
Simplify (3*(-3 + sqrt(704)))**2 - sqrt(704).
-440*sqrt(11) + 6417
Simplify (-3 + -1*sqrt(288))**2.
72*sqrt(2) + 297
Simplify (sqrt(704) - (0 + sqrt(704) + sqrt(704) + -1))**2*-6.
-4230 + 96*sqrt(11)
Simplify -2*sqrt(68)/sqrt(4)*-3 - (sqrt(34)/(sqrt(8)*-2))**2.
-17/16 + 6*sqrt(17)
Simplify -1*((sqrt(396) - (-5 + sqrt(396)*-1)) + sqrt(396) + ((sqrt(396) + -1 - sqrt(396)) + -2 - sqrt(396)) + sqrt(396))**2.
-3568 - 72*sqrt(11)
Simplify ((sqrt(2) - ((sqrt(28)/sqrt(2) + sqrt(14))/sqrt(7))**2 - sqrt(6)/(sqrt(3)*2)) + -5)*6.
-78 + 3*sqrt(2)
Simplify sqrt(18)/(sqrt(294)*-1).
-sqrt(3)/7
Simplify 2*(sqrt(2057)*-2*-6)**2.
592416
Simplify (sqrt(1539) + 3)*-6.
-54*sqrt(19) - 18
Simplify 1 + 2 + (sqrt(55)/sqrt(5))**2 + (-2 + sqrt(1331) + sqrt(11))**2.
-48*sqrt(11) + 1602
Simplify (4*sqrt(900) - sqrt(25))/(3*1*sqrt(5)).
23*sqrt(5)/3
Simplify (1*sqrt(20))/sqrt(10) + -3*sqrt(4)/sqrt(2).
-2*sqrt(2)
Simplify (6*-3*sqrt(78))/sqrt(6).
-18*sqrt(13)
Simplify -1*(sqrt(75) + 1*sqrt(75) + sqrt(75) + 1)**2.
-676 - 30*sqrt(3)
Simplify (-3*(1 + sqrt(1700)) + sqrt(1700))**2 - (3 + -1*sqrt(1700)).
130*sqrt(17) + 6806
Simplify (-3*sqrt(720))/sqrt(9).
-12*sqrt(5)
Simplify 2*(-2*sqrt(2)*-2 - (sqrt(72) + 1))**2.
8*sqrt(2) + 18
Simplify sqrt(475) + 5 + -2 + sqrt(475) + sqrt(475) + (sqrt(475) + -2 + sqrt(475) + -4)**2.
-105*sqrt(19) + 1939
Simplify (sqrt(931) + sqrt(931)*-1 + sqrt(931) + sqrt(931) + -2 + -4)**2.
-168*sqrt(19) + 3760
Simplify sqrt(156)/(sqrt(12) + sqrt(12) + -4*sqrt(48) + sqrt(12)).
-sqrt(13)/5
Simplify (4*(-5 + sqrt(125)) - sqrt(125))**2 + 2.
-600*sqrt(5) + 1527
Simplify 4 + 2 + (3*sqrt(5))**2.
51
Simplify (sqrt(2401)*-3 + sqrt(2401))/((sqrt(70) - (sqrt(70) + -2*sqrt(70)) - sqrt(70))/sqrt(10 | {
"pile_set_name": "DM Mathematics"
} |
smallest value in t, g, v?
g
Let m = -607 + 608.4. Which is the third smallest value? (a) 5 (b) 1/2 (c) -13/5 (d) m
d
Let t = -25/2 - -12. Let i = -3.561 - -3.711. Which is the second smallest value? (a) -1 (b) i (c) t
c
Let p = -79.1 + 79. Which is the second smallest value? (a) 1/4 (b) p (c) 17 (d) 1
a
Suppose 5*w - 465 = -75. Let z = 467/6 - w. Which is the third biggest value? (a) z (b) -1/8 (c) -6
c
Let g be (31/(-26))/((-33)/(-66)) + 3. Which is the third biggest value? (a) 0 (b) g (c) -1/4 (d) 4/7
a
Suppose 11 - 115 = -4*m. Suppose -5*g - m = -6. What is the second biggest value in 4, g, -7?
g
Let r(l) = -3*l**2 + l - 1. Let w be r(1). Let p = 61.04 - 61. What is the third smallest value in w, p, -0.4?
p
Let i = -359 - -357. Which is the third biggest value? (a) 4 (b) -4 (c) -2/9 (d) i
d
Let y = 0.58 - -0.12. Let u = 10.7 - 9. Let g = y - u. What is the second biggest value in -2/5, g, 3?
-2/5
Let g(i) = i**3 + 42*i**2 + 41*i + 3. Let h be g(-41). Let z = 47092 - 2966897/63. Let n = -17/9 - z. Which is the biggest value? (a) 0.5 (b) h (c) n
b
Let h be (-998)/(-28) + (-3)/6. Let i = h + -35. Let o be 2/4*24/21. Which is the smallest value? (a) 10 (b) i (c) o
b
Let n = 580 - 579.5. Let y = -0.11 - -14.11. Which is the third biggest value? (a) n (b) y (c) 0.1
c
Let o = -6.84 + 2.84. What is the third biggest value in 0.2, -3/11, o, -3/4?
-3/4
Let t = 2.32 - 5.32. What is the third biggest value in t, -0.4, 29, -0.2?
-0.4
Let p = 1.05 - 0.05. Let g = p - -4. Let j = 4.7 - g. What is the second smallest value in j, 4, 0.04?
0.04
Let h = 4 - 4.05. Let t = h - -5.05. Let l = 259 - 258.7. What is the biggest value in t, 0, l?
t
Let p = -11 + 15.4. Let d = p - 4. What is the third smallest value in -2/5, -3, d?
d
Let t be ((-9)/4)/(3/(-60)). Let p be -30*1*35/t. Let r = p + 23. Which is the smallest value? (a) r (b) 0.3 (c) 1
a
Let m = 5.9 + 1.1. Let d = m + -9. Let h = -1888/15 - -126. What is the biggest value in d, 1, h?
1
Let x = 10 - 12. Let b = x + -1. What is the second smallest value in b, 4, 3/7?
3/7
Let y = -24 + 24.11. Let i = y - 0.31. Which is the third smallest value? (a) -7 (b) i (c) -1/4
b
Let s = -48 - -103. Let z = -54 + s. What is the biggest value in z, 0.1, 2, 4?
4
Let w = 1863 - 1862.8. Which is the second biggest value? (a) w (b) -5 (c) -107
b
Let v = 0.369 - 0.369. What is the third smallest value in v, 2/7, -10?
2/7
Let j be (-9)/90*8*10/(-14). What is the second smallest value in j, 3, -2/15?
j
Let v = -157/10437 + -4/147. Which is the smallest value? (a) v (b) -4 (c) -3/5
b
Let h be 35/(-2)*(14/20 - -6). Let o = h + 117. Which is the fourth smallest value? (a) o (b) 3/8 (c) -2/7 (d) 5
d
Let l = -55.75 - -6.85. Let u = -49 - l. Let d = 0.2 - 0.2. What is the smallest value in d, u, -1/3?
-1/3
Let n = 1 + -1. Let m = -568.6 + 568.7. What is the second smallest value in m, 1, 5, n?
m
Let i = -5 - -8. Let m = i - 4. Suppose -8 = 3*z - 2*z - p, -4*p = -5*z - 35. What is the smallest value in m, z, -0.2?
z
Suppose -4*o - 217 + 77 = 0. Let r be 10/o - (-5)/(105/6). What is the second smallest value in 3, 0.1, r?
0.1
Let t be 2 + ((-10)/((-120)/(-18)) - 2). Let f = 1 + 0. Let s be (-2)/24 + f/4. What is the smallest value in -1, t, s?
t
Suppose -l - 3*d + 13 = l, -3*l = d - 30. Let p(f) = 2*f**2 - 22*f + 12. Let s be p(l). Which is the third biggest value? (a) 5 (b) s (c) 0
c
Suppose 3*m = -3*s - m + 11, 4*m = 5*s + 3. Suppose -8*n + 11*n + 2*v - 1 = 0, -v = 2*n + s. Which is the fourth biggest value? (a) n (b) 5 (c) 2/5 (d) 0
a
Let u(m) = -6*m + 97. Let l be u(15). Which is the biggest value? (a) -1 (b) 1/5 (c) l (d) -0.5
c
Let u = -41 + 51.6. Let g = 11 - u. Let n(j) = -j**2 - 6*j - 1. Let s be n(-6). What is the second smallest value in g, 0.2, s?
0.2
Let l = 32/99 + -6/11. Let g = 212.1 + -220.1. What is the biggest value in -0.1, -4, l, g?
-0.1
Let j = -145.1 - -144.6. What is the biggest value in 5, j, -8?
5
Let l = -45 - -28. Let b = l - -15.8. What is the fourth biggest value in 0.5, -1, 3, b?
b
Let w = 1.751 + -19.011. Let f = 11.39 + w. Let k = f - 0.13. Which is the biggest value? (a) 2/7 (b) 1/4 (c) k
a
Let o(g) = 2*g**2 + 16*g. Let u be o(-8). Let n be 0 - 4 - u/4. Which is the third biggest value? (a) -3 (b) n (c) -5
c
Let g = 0.044 + 2.056. Let w = g - -6.9. Let f = 13 - w. Which is the second biggest value? (a) -2/3 (b) 3 (c) f
b
Let d = 0.8 - -0.2. Let s(w) = w**3 + 6*w**2 + 4*w + 1. Let k be s(-5). Let y = -0.72 - 0.28. Which is the third smallest value? (a) y (b) k (c) d
b
Let d = -448 + 450. Which is the second biggest value? (a) -4 (b) d (c) 0.1
c
Let f = 231.08 - -1.12. Let o = f + -207. Let l = 25 - o. What is the second biggest value in l, 0.3, -4/9?
l
Suppose 5*h + 31 - 3 = 4*z, z - 3*h - 14 = 0. Let r be -6*z/(-1 + -3) + -11. What is the third biggest value in r, -5/2, -2?
r
Let s(o) = -o**3 - 16*o**2 - o - 14. Let l be s(-16). Let w be ((-9)/(-4) - l)*2. Which is the smallest value? (a) 3 (b) w (c) -0.2
c
Let n = -45.3 + 45. Which is the second biggest value? (a) n (b) 16 (c) 2
c
Let b = -0.32 + -15.68. Let r = b + 15.87. Let i = r - 0.37. What is the smallest value in -2/9, i, 0.4?
i
Let c = 0.1316 - 1.7316. Let p = 6.4 + -6. What is the smallest value in c, p, -0.4?
c
Let i = -458 - -460. What is the smallest value in 15, 4/7, i?
4/7
Let l = 460/7 + -66. Let q = -0.1 + 0.19. Let u = -4.91 - q. Which is the second biggest value? (a) 1/2 (b) l (c) u
b
Suppose 0 = -4*n - 3*z + 19, 3*n + 2*z + 1 = 14. What is the third biggest value in -2, n, 0, -5?
-2
Let d be (216/(-32) + 7)/(3/(-20)). What is the fourth biggest value in -1/5, -2, d, -3/7?
-2
Let j be (-495)/18*(-1 + -9). Suppose 6*k - 103 = j. Let s be k/15 + 1/(-5). What is the second smallest value in -2, -3/2, s?
-3/2
Suppose -52*n - 22*n + 1406 = 0. What is the third smallest value in n, -0.3, -4?
n
Let t = -7.5 + -3.5. Let c = -6 - t. What is the smallest value in c, -1, 0.1?
-1
Let h = -412/9 + 46. Let g be -1 - (-42)/15 - 1. Let a = 4.8067 - -0.1933. What is the third smallest value in g, a, h?
a
Suppose -4*s = n + 7 + 8, 3*n + 9 = 0. Which is the third biggest value? (a) 2/9 (b) 3 (c) -2/3 (d) s
c
Let y = 51 - 49. What is the biggest value in y, 0.3, -1/18?
y
Let b = 1001 - 1000. What is the second smallest value in -27, b, 6?
b
Let r = -4 - -23. Let i = 19 - r. Which is the second smallest value? (a) -10 (b) i (c) 0.2 (d) 1
b
Let m = 5.8 + -6. Let w = 0.28 + m. Let l = -4.08 + w. Which is the second biggest value? (a) 0.3 (b) l (c) 2/5
a
Suppose -k + 3*k = 12. Let n be (-3)/k + (-9)/(-2). Let l be (12/(0 - -4))/n. Which is the biggest value? (a) l (b) -1 (c) 0.3
a
Let i = 54 - -5. Let v = 59.4 - i. Let s = 0.3 + -0.26. Which is the third smallest value? (a) -2 (b) v (c) s
b
Let m = -7 + 7.1. Let h be 36/162 - (-40)/(-18). What is the second biggest value in h, -2/21, m, -2/7?
-2/21
Let q = 7.4 + -7.394. Let l = q + 3.994. Let d = -95 - -669/7. What is the third biggest value in d, 0.1, l?
0.1
Let i = -62.1 - -6.1. Let w = i + 56.2. Which is the third smallest value? (a) 2 (b) -3 (c) w
a
Let b(f) = -4*f + 172. Let k be b(42). What is the third smallest value in 1/2, -2.7, -2/5, k?
1/2
Let a(v) = -v**2 - 11*v - 10. Let k be a(-6). Suppose 0 = -5*b - 2*y + 19, 4*b = 9*y - 13*y + k. What is the biggest value in b, -4, 0, 2/13?
b
Suppose 5*j + 26 = 6*j. Suppose 3*d = -4*v + j, 5*d + v = 27 + 5. Which is the second biggest value? (a) d (b) -0.4 (c) 0.1
c
Let q = 110 + -109. Let j be -1 + (-3)/12 + 1. What is the third smallest value in 3, -1, j, q?
q
Let r be (-1)/1 - (-519)/9. Suppose -6*p = -366 + 30. Let g = p - r. What is the second biggest value in -4, -2/11, g?
g
Suppose 0 = 9*p - 218 + 74. Suppose -10*l + 14 + p = 0. Which is the second smallest value? (a) -4 (b) 2/37 (c) -0.3 (d) l
c
Let k = 3.9 + -4. Let g = -0.15 + -2.85. Which is the third smallest value? (a) 0.1 (b) -0.4 (c) g (d) k
d
Let d = 1126 - 2257/2. What is the fourth smallest value in 2/11, 4, d, 8?
8
Suppose 2*f = -g + 3, -3*f + 14 = -2*f - 2*g. Let t(v) = v**3 - 3*v**2 - 4*v. Let r be t(f). What is the biggest value in r, 5, -3, -2?
5
Let i be 16/(-280) + (- | {
"pile_set_name": "DM Mathematics"
} |
Let f = a + 8. Let i be f/9*-3*-3. Is 3 >= i?
True
Let q = -129937/6 - -21604. Let z be ((-104)/(-6))/(2/(-6)). Let v = z - q. Do 1 and v have different values?
True
Let a = 0.6 + -0.55. Let x = a + -0.15. Which is greater: -2 or x?
x
Let j be (-2)/5 - 10/(-25). Let h = -314/3 - -105. Which is bigger: j or h?
h
Let q = 7.9 - 8. Suppose -4*n + 2*n = 5*x + 1, x = 2*n - 5. Which is greater: q or n?
n
Suppose 0 = -5*v + 360 + 190. Let q = -991/9 + v. Is -1 smaller than q?
True
Let x(z) = -z**3 - z**2 - z - 1. Let k be x(-2). Suppose j = 0, 5*j = k*h - 4*h. Let s be (5 + -6)/(-1 + h). Which is smaller: s or -1/6?
-1/6
Suppose 0 = -3*n + 2 + 1. Which is smaller: n or -2/27?
-2/27
Suppose -5*c + 2 - 12 = 0. Let t be (3/9)/(1/c). Is -1 less than or equal to t?
True
Let h be 8/6*(-18)/(-4). Let x = h - 5. Which is smaller: 4/5 or x?
4/5
Suppose -12 = -0*f + 4*f. Let m be (f/4)/(21/(-14)). Which is smaller: m or 0?
0
Suppose 3*t = -2*t + 35. Let i be (-19)/t - 6/21. Is -3 less than i?
False
Let c = 0.08 - -1.92. Does c = -1/4?
False
Let s = 25 + -25. Let c = s + 0.5. Which is smaller: 0 or c?
0
Let i = 36.74 - 36. Is 0 less than i?
True
Let i = -2.04 + 2. Let n = -0.34 - i. Let t = n - -0.4. Which is greater: t or -1?
t
Let c be ((-41)/22 + 2)/((-18)/48). Let a = 2 - 3. Which is bigger: c or a?
c
Let t = -7.1 - -13.2. Let q = t + -1.1. Let a be 5 - 42/10 - 16/20. Is q bigger than a?
True
Suppose 0 = 3*d - 3*c + 9, 2*c - 9 = 3*d - 3. Is d less than -1/69?
False
Let v = 2 - 10. Let y = 10 + v. Let j = 0 + 0.1. Is y equal to j?
False
Let h be -2*(1 - 8/10). Is h less than or equal to 0?
True
Let v = 4 + 0. Let c = 3 + v. Are 0.2 and c equal?
False
Let c(b) = 3*b**3 - 2*b**2 - 3*b + 7. Let l be c(2). Is l bigger than 17?
False
Suppose 0 = 5*i - 0*i + 65. Let c = i + 11. Let j = -63 - -249/4. Which is smaller: j or c?
c
Let j be (-5 - -1)/((-24)/60). Is j bigger than 11?
False
Let k(j) = -8*j. Let l be k(1). Which is greater: -7 or l?
-7
Let w = -65 - -40. Which is greater: -24 or w?
-24
Let v(h) = -h. Let t be v(-2). Suppose 0 = -c + t*c - 4. Is c greater than 4?
False
Let s = 0 - -2. Suppose -4*t - z = t + 519, 5*t + 518 = -s*z. Let y = t + 1354/13. Which is greater: y or -2/5?
y
Suppose 0 = -0*r - r - 7. Let t = r - -11. Let y be (4/16)/((-3)/t). Is 1 greater than or equal to y?
True
Let y = 39 - 28. Is y equal to 11?
True
Let k = 3 - 2. Let o(b) = b**2 + 2*b. Let l be o(-2). Let m = l - -2. Which is smaller: k or m?
k
Let l = 0 + 5. Suppose u = -l*x + 6*u - 15, 3*u = -x + 5. Let k be ((-2)/2*3)/(-7). Which is greater: k or x?
k
Let k = -889/5 - -178. Which is smaller: 2 or k?
k
Let j(u) = u + 13. Let h be j(-10). Suppose h*r + 2 = 11. Let y be 2*r*3/33. Are y and 0 non-equal?
True
Suppose 2*r - 23 + 21 = 0. Are r and 2/33 unequal?
True
Let b(p) = -p**2 + 12*p - 13. Let f be (0 - 0) + 9 - -2. Let a be b(f). Is a != -2?
False
Suppose -4*a + 9*a = 4*w + 28, -5*w + 2*a = 52. Is -32/3 greater than w?
True
Let d = 0.12 - 0.62. Let a = 5.5 - d. Which is bigger: a or 0?
a
Let g be -3 + (-426)/(-40)*(-40)/(-144). Which is smaller: 0 or g?
g
Let m be (6/5)/(6/15). Let x be (-5)/2*(-20)/25. Do x and m have the same value?
False
Let a = 22 - 16. Let f(i) = -4*i**2 - i - 1. Let u be f(-2). Let h = -9 - u. Is a not equal to h?
False
Suppose 5*q + 0*q + 180 = 0. Let y be ((-5)/(-30))/(1/218). Let c = q + y. Does c = 0?
False
Let v be ((-33)/176)/(3/2). Which is greater: -6 or v?
v
Let g = 0 + -0.02. Which is smaller: 2/7 or g?
g
Suppose -5*d = 2*u - 124, 3 - 5 = -u. Suppose -d = -c - 3*c. Are c and 7 nonequal?
True
Suppose -u = 7*u - 8. Which is greater: u or -3/34?
u
Let f be 1 + (-3)/((-162)/(-57)). Are f and -1 equal?
False
Let a = 74135/957 + -852/11. Which is bigger: 1 or a?
1
Suppose 2*o - 3*p = 6, o - 5*p - 14 = -o. Let r be (o + 6)*2/3. Let h be (-3 - (-1 + r)) + 2. Which is smaller: 2/5 or h?
h
Let i be (0 - (1 - 2))/(18/(-198)). Which is smaller: -39/4 or i?
i
Let s be 2 + (-4 - -6)/1. Let d be (2/s)/((-8)/8). Is d less than -3?
False
Let v(s) = s + 11. Let r be v(-14). Let n = 2 + r. Is 4/15 at least as big as n?
True
Let z(l) = l**2 + l - 5. Let y be z(-3). Which is greater: 4/5 or y?
y
Let j = 81.983 + -82. Is j < 2/5?
True
Suppose 0 = -j - j - 4. Let b be j*(2 - 14/4). Let h = 0 - -2. Which is greater: h or b?
b
Let s = -3.1 - -3.3. Let y = 2 + -1. Which is smaller: s or y?
s
Let m = 91.1 + -87. Let r = -0.01 - -4.01. Let v = r - m. Which is smaller: 2/3 or v?
v
Let p(j) = -j**3 + 8*j**2 + j - 6. Let n be p(8). Suppose 4*d - 10 = n. Suppose -17 = -r - 3*z, 2*r + 0*z + z = 9. Is d >= r?
True
Let r(x) = -4*x - 8. Let a be r(6). Are -32 and a unequal?
False
Suppose 2*x + 27 = -y, -158 = 5*y - 4*x + 19. Let n = -63 - y. Let k = -121/4 - n. Are k and 1 unequal?
True
Let w = 22 - 22. Which is bigger: 2/3 or w?
2/3
Let s = 12 + -12. Let j = s + 0.1. Which is smaller: 0.09 or j?
0.09
Let n(k) = -k**3 + 6*k**2 - 6*k + 4. Let i be n(5). Let s be ((-1)/(-6))/(i/2). Is 0 at most as big as s?
False
Let u(z) = -z**3 + 4*z + 3. Let w be u(-2). Suppose w*a = -0 + 3. Let r(t) = t**3 + 5*t**2 - 5*t + 8. Let n be r(-6). Which is smaller: n or a?
a
Let k = 0.002 - 0.002. Is k not equal to -1/18?
True
Suppose i = -i. Suppose 2*d = -5*j - 4, 3*d = -0*j - 2*j - 6. Suppose -3*w + 0*w + 6 = j. Which is bigger: i or w?
w
Suppose -b + 22 = 5*r, -4*b + 12 = 4*r - 12. Let t be (r/(-36))/((-5)/(-3)). Which is greater: -1 or t?
t
Let p(h) = -h + 4. Let d be p(4). Is 0 at least as big as d?
True
Let b(t) = 11*t**3 - t**2 + 1. Let o be b(1). Let u = o + -1. Let w be 14/u + 4/(-10). Does 1/9 = w?
False
Let s = 207 + -138. Let t be s/21 + 6/(-21). Let h be (0 - t)/((-27)/(-6)). Is 0 bigger than h?
True
Suppose -h - 5*j = 12, 2*h + 2*j - 12 = j. Let p be 8*-1*(3 - 2). Let y be (h/(-110))/(p/(-20)). Which is smaller: -2 or y?
-2
Suppose 4*l = -l + 5. Let p be -2*3*l/6. Suppose 3 = -2*x - 1. Which is bigger: p or x?
p
Suppose y = j, -4*y = j - 4*j. Which is greater: -1/32 or j?
j
Let j(o) = -o**3 - 4*o**2 - 2*o - 4. Let f be j(-4). Suppose f*l + 60 = -4*c, -3*l + 35 = -6*c + c. Which is smaller: c or -9?
c
Let f be ((-44)/(-8) - 3)*18/5. Is 9 at most as big as f?
True
Let p be 1/(-3)*(7 - 14). Does 1 = p?
False
Let k = 9 + -6. Suppose -k*p - 2*s - 1 = 0, -4*p + 4*s = -40 + 8. Let y be -1 + 0 + p + -3. Is -1 bigger than y?
False
Let q be -3 + -2 + (-16)/(-4). Let a be 7 - 3/(3/2). Suppose -4*d - 19 = 3*v, 15 = a*d - 4*v - 0. Is q at least as big as d?
True
Let h(r) = -r**3 + 6*r**2 - 6*r + 7. Let b be h(5). Let l be (b/4)/(3/9). Let f = l + -31/18. Which is bigger: f or 0?
0
Suppose 2*o - 5*o = 0. Let i be (-2 - o)/(-2 + 3). Let n = 14 - 73/5. Is n at most i?
False
Let m be (-1)/((-5)/5 - -2). Let i = 0.04 - -2.96. Let v = -3 + i. Which is bigger: v or m?
v
Suppose -32 + 98 = -3*b. Let k = -23 - b. Is k != 0.2?
True
Let g = 4 - 2. Let j = -1 + g. Which is smaller: j or 0.2?
0.2
Suppose 3 = 3*o + 30. Let i = 10 + o. Let u = -0.1 - -0.3. Is u at least i?
False
Let p = 1336 + -5413/4. Let n = -33/2 - p. Do n and 1 have the same value?
False
Let w(h) = h + 1. Let d be w(-3). Let s = -32 - -31. Are d and s non-equal?
True
Let g = -2 - -5. Let w = 4 - g. Suppose x + 2 = -4*c - x, 5*c - x = 8. Do w and c have the same value?
True
Suppose -6*w - 61 - 23 = 0. Is w equal to -14?
True
Let x = -20.2 + 22. Let u = x - -0.2. Which is smaller: u or -1?
-1
Let n = 22.09 - 22. Let g = n + 0.01. Is 8 at least as big as g?
True
Suppose 10 = -2*k + 5*f, -2*f - 1 = -2*k + 1. Suppose -h - 4*v - 9 = 1, k*v + 25 = 5*h. Let p = h + -3. Is 2/11 < p?
False
Let y = -7 + 5. Let h(o) = 2*o - 3*o + 3 + o**2 - 3*o. Let s be h(2). Which is greater: s or y?
s
Suppose -2*t + 0 = 2. Let f be 2/6*(8 - t). Let r = 1 + 2. Is f at least r?
True
Let r be (-3)/(-2)*(-252)/(-27). Suppose -2 - r = -4*o. Let k be -6*(6/o + -1). Is k greater than -1?
False
Let c be 4*(-1)/(-42)*1. Let y(k) = 3*k + 14. Let j be y(-5). Is j bigger than c?
False
Let m = -0.047 + 7.047. Does m = 1?
False
Let n = 234.1 + -244. Let r = n + 10. Let c = 0 - 0.02. Which is bigger: c or r?
r
Suppose -4*v + 111 = -1. Are v and 27 equal?
False
Let c = -1334/77 + 120/7. Let k = 38 - 115/3. Is c at least k?
True
Let u(y) = y**3 + 4*y**2 + 5*y + 5. Let s be u(-2). | {
"pile_set_name": "DM Mathematics"
} |
+ 2*q - 1. Let p be l(3). Let d = 67 - p. Does 5 divide d?
False
Suppose g = -w + 13, 2*g + 28 = 4*w + 6. Let s = w - 5. Does 2 divide s?
False
Suppose -2*d = 1 + 15. Let m(c) = -11*c**3 - 9*c**2 - c - 5. Let j(p) = -4*p**3 - 3*p**2 - 2. Let s(o) = d*j(o) + 3*m(o). Is s(-3) a multiple of 9?
False
Let s = -11 + 19. Suppose 0 = -4*q - 5*w + 13, 5*q - 2*w + 0*w = s. Suppose 2*p = -q + 86. Is 15 a factor of p?
False
Let a be 1 - 0 - (-1 + 0). Is (11 - 0) + 6/a a multiple of 5?
False
Let z(r) = 65*r**2. Let b be z(-1). Suppose h + 40 = -h. Let o = h + b. Is 15 a factor of o?
True
Suppose 4*s = 3*s - q + 4, -4*s + 19 = q. Let a(p) = 45*p - 7. Let j be a(s). Let x = -151 + j. Is x a multiple of 17?
False
Let o(q) = q**2 - 6*q - 8. Let z(j) = -2*j**3 - j**2 + 2*j + 2. Suppose -5*i - 10 = -3*g, 4*i - 2*g + 6*g = -8. Let r be z(i). Is 14 a factor of o(r)?
False
Let v(w) = 8*w**2 - 4*w - 4. Let z be v(5). Suppose -224 = 2*b - 7*b + 3*r, -4*r - z = -4*b. Does 23 divide b?
True
Let f(o) = o**3 - o**2 - o + 5. Let l be f(0). Let n be 12/5 - 2/l. Suppose -n*u = u - 57. Does 19 divide u?
True
Is (-4 - -1)*148/(-12) a multiple of 11?
False
Let k = 54 - 30. Does 8 divide k?
True
Suppose 7 = 2*k - k. Suppose k*f = -s + 3*f, -4*f = -4. Is 1060/25 + s/10 a multiple of 15?
False
Let d be ((0 - -1)*0)/(-2). Suppose 0*w - 5*w + 15 = d. Let h(c) = c**3 - c**2 - 2*c - 2. Is h(w) a multiple of 5?
True
Let f(w) = 13*w - 7. Let p be f(7). Suppose -4*m - p = -m. Is ((-16)/m)/((-4)/(-14)) even?
True
Let h = -5 - -5. Suppose h = -0*f + 4*f - 68. Let x = f + -5. Is 11 a factor of x?
False
Suppose -m + 23 = -52. Suppose -5*k + k + 2*f + 30 = 0, k + 5*f = 2. Suppose -m = 2*a - k*a. Is 7 a factor of a?
False
Suppose -4*f + 14 = -22. Suppose 4*w = 47 + f. Is 14 a factor of w?
True
Suppose -3 = 3*t, 5*m - 4*t + 3 - 27 = 0. Suppose 2*j = m*j - 10. Let k(l) = l**3 - 3*l**2 - 7*l + 5. Is 10 a factor of k(j)?
True
Suppose 138 = 3*i + 3*k, 2*i - 68 = 3*k + k. Suppose -3*a + 33 = -i. Does 17 divide a?
False
Suppose 3*n + 8*u = 5*u + 27, -4*n + 37 = 5*u. Does 4 divide n?
True
Let f = 68 + -63. Is f a multiple of 3?
False
Let r(o) = 3*o - 6. Suppose -3*u - 5*v = 12, 5*u + 27 = u - 3*v. Let p be 32/6*u/(-6). Is 16 a factor of r(p)?
False
Let f(y) = -y**3 - 2*y**2 + 12*y + 3. Is 6 a factor of f(-5)?
True
Let s = 328 - 152. Does 16 divide s?
True
Let k be (33/3)/(0 - 1). Let m(b) = -b**3 - 12*b**2 - 12*b - 4. Is m(k) a multiple of 3?
False
Let u(z) = 4*z**3 - 4*z**2 + 3*z - 1. Is u(2) a multiple of 3?
True
Let c = 6 - 4. Suppose c*r + 33 = 5*r. Is r a multiple of 11?
True
Let w(i) = -i**3 - 3*i**2 + 8*i - 2. Does 8 divide w(-5)?
True
Does 19 divide 173/9 - (-4)/(-18)?
True
Let m be (-579)/15 - 2/5. Let h = -17 - m. Let x = h + -10. Is 10 a factor of x?
False
Suppose -g + 7 = -2*g. Let w be (-120)/(-42) + (-1)/g. Suppose 0 = -w*d + 59 + 7. Is 7 a factor of d?
False
Suppose -2*x = 2 - 10. Suppose -3*s + 5 = -x. Suppose -72 = -j - s*j. Is 11 a factor of j?
False
Suppose -6 - 2 = -4*c. Suppose -c*z + 0*z = 34. Does 9 divide (-3)/(-6) + z/(-2)?
True
Let m = -50 - -89. Does 6 divide m?
False
Let z(l) = 9*l**2 - l. Does 17 divide z(2)?
True
Let r = 0 + 3. Suppose 3*x - r*j - 60 = 0, -2*j = -4*x - 0*j + 76. Does 9 divide x?
True
Let f = 191 + -59. Is f a multiple of 19?
False
Let b(p) = -3*p - 4. Let f be b(7). Let c = -6 - f. Does 13 divide c?
False
Let f be ((-1 + 0)*14)/2. Let p = f - -31. Does 14 divide p?
False
Let t = 11 + -3. Let a = -4 + t. Is 4 a factor of a?
True
Let u = 186 - 99. Is u a multiple of 9?
False
Suppose -3*w - 6 = 0, -5*w = -2*f - 0*w + 146. Let u = -33 + f. Is 11 a factor of u?
False
Let b = -18 - -20. Is 2 a factor of b?
True
Is 13 a factor of ((-74)/4)/(6/(-108))?
False
Let z(y) = -y + y**3 + 0 - 8*y**2 - 5 + 2*y. Let m = 10 + -2. Is 2 a factor of z(m)?
False
Let f = 11 + -7. Is (-71)/(-3) + f/12 a multiple of 12?
True
Let i(f) = 5*f + 3. Is i(4) a multiple of 23?
True
Let u be 4*(-5)/(-12)*3. Suppose 0 = -0*t - u*t + 2*q + 84, -5*q = 2*t - 22. Is t a multiple of 8?
True
Suppose 0 = -2*m + 3*a - 6 + 15, -8 = m - 4*a. Is (-3 + 0)/((-9)/m) a multiple of 3?
False
Suppose 7*s - 2*s - 245 = 0. Is s a multiple of 43?
False
Let u(g) = -g**2 - 6*g - 3. Let m be u(-5). Is 24 a factor of (1/(-3))/(m/(-450))?
False
Let w = 90 - 60. Let y = w + -18. Is 4 a factor of y?
True
Let x(w) = -2*w - 1. Let k be x(-2). Suppose 0 = -4*d + k*l + 11, -6*d + 2*l = -d - 5. Let q = 21 - d. Is 13 a factor of q?
False
Suppose 0*i = -5*i - 315. Does 10 divide 0 + (-4)/(12/i)?
False
Let j(h) be the first derivative of h**4/4 - 4*h**3/3 - 5*h**2/2 - 2. Let d be j(5). Suppose -2*y + d*y + o = -5, -5*y = -5*o. Is 5 a factor of y?
True
Let m = 3 - -34. Does 11 divide m?
False
Suppose 2*d = -2*i + 48, 5*i + d + 56 - 164 = 0. Is i a multiple of 7?
True
Suppose -3*y - y = 0. Is 21 a factor of 7/(y + 2/6)?
True
Let n(m) = 30*m + 25. Does 23 divide n(3)?
True
Suppose 2*o - 5*l - 199 = 0, -5*o + 489 = -l - 3*l. Is o a multiple of 32?
False
Let x(d) = -2*d - 6. Let c be 2/(1*(-2)/(-4)). Suppose c*j = -j - 2*k - 57, 4*j + 5*k + 49 = 0. Does 16 divide x(j)?
True
Let l = 1 - 0. Let t = 3 - l. Is 8 a factor of -3*(t - 8) - 2?
True
Let u(w) = -w**3 + 3*w**2 + 4 + w + 0 + 0*w. Let i be u(4). Let m = 0 - i. Is 8 a factor of m?
True
Suppose 5*v - 523 = 47. Is 4 a factor of ((-6)/(-9))/(4/v)?
False
Let a = 8 + 23. Let g = 56 - a. Is 6 a factor of g?
False
Suppose -i + 4*i = 0. Suppose 3*d + d - 56 = i. Suppose h = -0*h + d. Is 14 a factor of h?
True
Suppose 0 = -g - 4*w + 24, -g + 5 = 4*g - 3*w. Is 20 a factor of ((-8)/2)/(g/(-40))?
True
Suppose 5*r - 2*q - 280 = 0, r - 56 = -0*r - 5*q. Is r a multiple of 7?
True
Suppose 65*u - 1600 = 57*u. Does 25 divide u?
True
Suppose 12*x = 7*x - 35. Let w(d) = d**2 + 3*d - 1. Is w(x) a multiple of 8?
False
Let b(c) = -c**3 + 6*c**2 - 6*c - 43. Let w(g) = -g**3 + 5*g**2 - 5*g - 42. Let r(x) = 5*b(x) - 6*w(x). Suppose 5*p - p = 0. Is 16 a factor of r(p)?
False
Let n be 2 + (-3)/1 + -2. Let r be n/2 + 1/(-2). Is 6 a factor of ((-6)/(-5))/(r/(-20))?
True
Let g = 2 - -1. Suppose -4*s + g*s + 7 = 0. Is s a multiple of 2?
False
Suppose 1119 = 10*g + 39. Is 36 a factor of g?
True
Suppose -2*b = -z + 8, 6*b + 62 = 4*z + 4*b. Is 4 a factor of z?
False
Suppose b + 0 = -1, 59 = 3*i + 4*b. Suppose -6*v + 3*v = -i. Suppose -4*h = -v*h + 75. Does 25 divide h?
True
Suppose p - 87 = 2*r - 5*r, 2*p = -2*r + 158. Does 15 divide p?
True
Suppose 3*s + 372 = k, k = -2*s - 2*s + 344. Is 24 a factor of k?
True
Suppose -3*m - 2 + 7 = -5*y, y = 5*m - 1. Let f be 4*9 - (m + 1). Let i = -19 + f. Does 8 divide i?
True
Let u(i) = i**3 - 6*i**2 + 4*i + 4. Let c be u(5). Is 20 a factor of 62 - (1 - c)/1?
True
Let c(r) = -38*r + 5. Is c(-5) a multiple of 20?
False
Let v(d) = d**3 + 5*d**2 - 5*d + 8. Let o be v(-6). Suppose o*x + 110 = 7*x. Does 13 divide x?
False
Does 7 divide (-57)/(-9) + (-8)/(-12)?
True
Suppose 6*z = 11*z - 390. Does 12 divide z?
False
Let z(f) = -40*f + 1. Let b be z(-1). Suppose 0 = 4*o - 27 - b. Is 17 a factor of o?
True
Let o(y) = y**3 + y**2 - y + 4. Let f be o(0). Suppose 3*g + 5*z - z = 36, 12 = f*z. Is 6 a factor of g?
False
Let y(v) = v**2 + 18*v - 52. Is 3 a factor of y(-22)?
True
Let z(f) = 6*f + 9. Let q be z(7). Let g = q - -4. Is 14 a factor of g?
False
Suppose 0*c + 21 = 4*c + a, c - 4*a - 18 = 0. Suppose 0 = -2*u + 4*v + 20, -u - c*v + 2*v + 34 = 0. Is 9 a factor of u?
True
Let b be (3/(-6))/((-3)/12). Suppose b*c = -2*c. Suppose c = 3*y - 4*y + 2*u - 5, -y - 10 = -3*u. Is 2 a factor of y?
False
Let g = 19 - 4. Suppose -g - 60 = -3*c. Is 7 a factor of c?
False
Let f(u) = -2*u - 6. Let j be f(-6). Suppose -2*y + j = y. Suppose 139 = 2*h + y*h - 5*w, -5*w = 4*h - 149. Is 18 a factor of h?
True
Let w be 2/(((-16)/20)/((-2)/5)). Suppose 0 = -2*n + 2, -n - 14 = 3*g + 3*n. Is 3 a factor of w/(-2) - 69/g?
False
Let f(b) = b + 18. Is 10 a factor of f(12)?
True
Let k be ((-6)/5)/(3/(-270)). Let h be k/2 - (-2)/(-1). Suppose 4*j = 4 + h. Is j a multiple of 11?
False
Let k = 270 + -160. Is k a multiple of 28?
False
Suppose -3*k - 1 = -7. Does 5 divide -2 + ((-2)/k - -13)?
True
Let j = -38 + 27. Let v(i) = -i**2 - 12*i + 7. Does 9 divide v(j)?
True
Does 15 divide -3*(-2)/(-6)*-77?
False
L | {
"pile_set_name": "DM Mathematics"
} |
11 - -10) + -41 - 5.
-41
Calculate (4 - 3) + 21 + (-1229 - -1247).
40
What is -16 - (-42 - (-34 - -108)) - 13?
87
What is (-81 + -80 - -147) + -55?
-69
17 + (5 - (24 + 6 + -11))
3
Evaluate -26 - (1 + 11 + -12).
-26
Calculate 10 + (-2 - -1 - 125) + (-1310 - -1329).
-97
(1 - (5 - 43)) + -5 - (14 + -2 - 8)
30
Evaluate 1 + -1 - ((-425 - -443) + (-1 - (-3 + -2))).
-22
What is (10 - -52 - 67) + -1?
-6
-24 + -51 + 85 + (3 - (-3 - -12))
4
What is (-33 - -2) + -265 + 319 - (96 - 1)?
-72
77 + (-198 - (-56 + -27))
-38
Evaluate -4 + (2 - ((-5 - -11) + 7 - 15)).
0
(-42 - 2) + -2 - (37 - 53)
-30
73 + -67 + -194 + 87
-101
76 + 24 + -25 + 18 + -13
80
What is (-43 - -110) + (-1 + (3 - (6 + -1)) - 3)?
61
-10 + -1 - (130 - (-23 + 134))
-30
What is (-13 - -8) + 18 + -2 + (-2 - 4)?
5
What is (510 + -534 - (-10 - 0)) + -8 + 1?
-21
37 - (67 - (122 + -53))
39
82 + (-47 - -56 - 44)
47
What is 15 + -20 + -15 - 0 - (-13 + -2)?
-5
What is -25 - ((58 + -33 - -15) + -29)?
-36
Calculate 141 + 24 + -28 - 83.
54
1 + -2 - (-15 - -12) - -49
51
(706 - 668) + (-1 - 3) + 1
35
Evaluate (3 - 11) + -37 + -35.
-80
287 + -281 + -1 + 1 - 56
-50
78 + -30 - 22 - 30
-4
What is (-3 - (-43 + 71)) + 34 + 38?
41
What is (-49 - -11 - -30) + 4 + (-4 - -1)?
-7
Calculate 50 - (7 + 1 - (6 - (35 + -45))).
58
What is (-25 - (4 + -3)) + 856 + -839?
-9
Calculate -44 + -43 + 1 + 121.
35
33 - 0 - (18 + -31 + (-31 - -29))
48
(26 + -3 - 81) + (6 - 35)
-87
What is 1 + (-2 - 70) + -18618 + 18595?
-94
What is the value of -15 + 6 + -9 - -36?
18
(-3 - -7) + -6 + 4 + -15 + 20
7
Evaluate (-9 - 58) + 50 + (0 - 4).
-21
Evaluate 138 + -106 + -8 + (14 - (1 + 0)).
37
What is the value of 50 + -182 - (-134 - -69)?
-67
Evaluate (-9 - (-15 + (-27 - 13))) + (-4 - -3).
45
What is ((4 - 1) + 1 - -14) + -1558 + 1599?
59
What is 3 + (11 - (38 - (-9 - (-18 - 12))))?
-3
What is the value of -128 + 33 + (14 - 63) - (4 - (4 - 0))?
-144
What is the value of (2 - -8) + -4 + -7 + 41?
40
-7 + 13 + -13 + (10 - (-5 - -5))
3
What is 22 + -37 + -18 + 3?
-30
What is the value of (21 - (2 - 0)) + 289 + (-47 - 173)?
88
Evaluate 1 - (2 + 27) - (-15 + 27 - 13).
-27
Calculate 41 + -71 + 20 + 50 + (3 - 1).
42
(2 - 3 - (12 + (-8 - -7))) + 50
38
What is the value of 5 + (-37 - (-2 - (29 - 27)))?
-28
What is the value of 11 + -9 + (-7 - -3) + -12 + -15?
-29
Calculate 13 - (-3 - (13 - 6) - 0 - 13).
36
6 + -6 + (11 - 2 - -2) + -2 - 25
-16
(-390 + 560 - (38 - 2)) + -1
133
4 + -1 - (-65 - -40) - (29 - 20)
19
Calculate -10 - (-2 + (-29 - -14 - -19)).
-12
Evaluate 110 + (-94 - 128) - -32.
-80
Evaluate 8 - (-38 - (-88 + 29)).
-13
What is the value of -63 - (-11 + -29) - -72?
49
What is the value of 1 + (5 - 53 - (357 - 383))?
-21
(68 - (-14 - -82)) + 3
3
What is (32 - 2) + -7 + -117 + -3 + 3?
-94
Calculate 73 + (24 - -7) + -76.
28
What is -138 + 20 + 20 - (3 + -8 + -7 + -1)?
-85
What is -122 + 21 + 44 + -26 - -2?
-81
3 + 121 + -41 + -41
42
Calculate 8 + -3 - (-62 - -30 - -28).
9
Evaluate (0 - -11 - (29 - (37 + -10))) + 19.
28
What is (18 - (-8 + -4 + 40 + -11)) + -30?
-29
What is the value of 81 + -96 - (-3 - 1) - -9 - 9?
-11
Calculate (-99 - -70) + 66 - (1 - -6).
30
Calculate -41 + (-140 - -209) + -2 + -27.
-1
What is 2 + 16 - (23 + -75 + 74)?
-4
What is (-4 - -5 - 71) + 23 - (-4 + -1)?
-42
Evaluate -11 + (90 - (-8 - -48)).
39
What is the value of 12 - 14 - (5 + -9) - (5 - 14)?
11
Evaluate (2 + 7 + -4 - 11) + (-10 - 26).
-42
What is the value of (83 - (79 + -31)) + 13?
48
Calculate -12 - (-10 - 13) - 23 - -38.
26
What is (7246 - 7266) + -1 + -62?
-83
Calculate -2 + -44 + (27 - -18).
-1
Calculate 34 - (-20 - (-22 + -23)) - 6.
3
Calculate ((4 - 6) + -35 - -20) + -7.
-24
What is 44 - ((-4 - (8 + -13 + 2)) + 9 - -3)?
33
-24 - -31 - ((1 - (-10 - 68)) + 1 + -1)
-72
Evaluate 39 + -33 - (1 + -3 - (-115 + 155)).
48
Evaluate 12 + (10 - (-3 - -14)) - -13.
24
0 + (-6 - 12) - (-27 - 6)
15
What is 3 - 79 - (306 + -305)?
-77
Evaluate -27 - (16 + -66) - 19 - (64 + 0).
-60
Calculate (64 - 0) + -506 + 477 + 44 + 2.
81
What is -12 - ((-3 - (9 - (-13 + 19))) + 13 + -3)?
-16
What is (58 + -67 - 26) + 42?
7
What is the value of -187 - -190 - (2 - (-6 - -1)) - -42?
38
What is (1 + 23 - (18 - (16 - 14))) + 15?
23
What is (-3 + 1 - (196 + -162)) + 34?
-2
What is -5 + 0 - -58 - 76?
-23
Calculate 18 + -45 + 45 + -60.
-42
What is (6 - (-9 - -13 - -6) - -10) + -9?
-3
What is the value of 2 + 69 + (-6308 - -6230)?
-7
What is -13 + (3 - -10) + -41?
-41
What is 18 + (30 - 55) - (-78 + -2) - (9 - 0)?
64
(-48 - -52) + (3 - -14 - (7 + -1))
15
What is 479 + -261 + (43 - 153)?
108
Evaluate -1 - (16 - (11 - (-24 - -12))).
6
Evaluate 24 + 11 - 0 - 0 - -26.
61
Evaluate 30 + -72 + 21 + -34 + 22.
-33
What is the value of -77 - (35 - (-19 - -88)) - -22?
-21
What is -24 + 32 + -18 + 55?
45
Calculate (-2620 - -2641) + (22 - 0).
43
What is (50 - -47 - 106) + (-53 - -1)?
-61
Calculate -5 + 11 + (-6 - -6) + 22 + -36 + 20.
12
What is 15 + (-2 - (-12 - (-11 - (-5 - -129)) - -14))?
-124
Evaluate 90 + (8 + (-2 - 2 - -14 - 1) - 10).
97
What is the value of (-63 - (20 + -72)) + -8 + 0 + 20?
1
Calculate -6 + 0 - (-11 + -44 + 59).
-10
Calculate 66 - (-5 - 0 - ((-22 - -6) + 4) - -2).
57
What is 10 + -13 + 24 + (-7 - 2)?
12
Evaluate -148 + (-57 - -150) - -128.
73
What is -44 + (63 - 42) + 62?
39
Calculate -51 + -3 + (38 - 2).
-18
What is the value of (-4 - (-10 - -10)) + 12 + (6 - 14) + 57?
57
Evaluate (-33 - -16) + (-3 - 7 - (16 + -92)).
49
-99 - (9 + -91) - 43
-60
What is -20 - (27 - ((31 - -17) + -28))?
-27
Evaluate 44 - (-15 - (-13 + 5 - (7 + (-12 - -9)))).
47
Calculate 9 + (11 - (-36 + 42)).
14
Calculate 10 - (82 + -104 - (-6 + 1)).
27
Evaluate (38 + 24 - 40) + -45 - (-1 - -6).
-28
What is the value of -73 + 68 - 5 - -42?
32
Calculate -112 - (-52 + (-220 - -110)).
50
What is -1 + -11 + 60 - (-299 - -491)?
-144
Calculate (11 - 0) + (3 - (-1 - (-44 + -6))).
-35
-42 - -7 - ((-7 - -15) + 0)
-43
Evaluate (10 - 5) + -15 - (4 + -8 + -41).
35
What is the value of -2 - (44 + 0 + 5) - ((2 - 33) + 28)?
-48
19 - (3 + (0 + 2 - 8) + 16)
6
What is the value of -9 + (45 + -7 - (-37 + 38)) - (-5 - -1)?
32
Calculate 4 + 5 + (-13 + 38 - 44).
-10
Calculate -66 - (-98 + 77 + -58).
13
What is (-61 + 88 - 21) + (-6 - -53)?
53
What is 115 + (111 - 73) + -130?
23
What is -120 - (-12 + -34) - (7 - (-7 + 22))?
-66
Evaluate -10 - -91 - (-2 - -11 - 5 - 4 - -2).
79
What is the value of 30 - (7 + -15 - (2 - 30))?
10
What is the value of -309 + 23 + 115 - -87?
-84
Calculate -364 - -238 - (-158 + 36).
-4
What is the value of 192 - 199 - ((8 - (18 - 8)) + -13)?
8
What is -74 - (3 - ((-7 - 4) + 3 - -21) - 0)?
-64
Calculate -35 + -6 + -2 + (3 - 24).
-64
What is (45 - 29) + -106 - (-19 - 1)?
-70
Calculate (-15 - (7 + 16)) + (17 - (4 + 0)).
-25
What is the value of -78 + (-153 + 175 - (32 - 2))?
-86
What is 3 - 6 - ((-28 - 12) + 10 + -6)?
33
What is the value of 0 + 6 + (-33 - -5) + 52 + -59?
-29
Evaluate -7 - (0 - 2) - (327 + -319) - -42.
29
What is (60 - -1) + 3899 + -3916?
44
What is (-2 - 18) + 27 + 23 + 2?
32
What is the value of (9 - 1 - (18 - 8)) + (-18 - -14)?
-6
Calculate 6 + (-2 - 19) + -11.
-26
Calculate (-162 - -178 - 96) + (22 - -1) + -2.
-59
(12 - -2) + (25 - ((-4 - 0) + 17))
26
Calculate 28 + (-100 - (23 - 113)).
18
What is the value of 0 + 0 + -8 - (3 + -33)?
22
What is the value of 56 - 2 - ((0 - 10) + 20 + 4)?
40
What is 333 + -375 - (-2 + 2 + (16 - 0))?
-58
Evaluate (-4 - ((-1 - -8) + (75 - 82))) + 6 + 18.
20
Calculate -36 + -12 + (-38 - -69).
-17
What is the value of ((19 - 8) + 1 - 30) + 51?
33
What is 12 + (-222 + 111 - (-3 - (1 - -1)))?
-94
Calculate 278 + -269 - (5 - -58 - 5).
-49
-6 - 0 - (-289 + 303) - -25
5
13 - (4 - -1 - (13 - 30 - 14))
-23
What is 80 + 7 + -4 - 43?
40
What is the value of -10 - (-13 + 14 + 9 - 6) - -4?
-10
Evaluate (-30 - (3 - 21)) + (-7 - 59) - 14.
-92
What is the value of -357 - -357 - (53 + 2) - (1 + -3)?
-53
What is 262 - 269 - (-7 - (2 - -131) - (0 + 3))?
136
10 - (-29 + (-21 - -22) + 14)
24
What is the value of 38 + (43 - (-28 - -95))?
14
Evaluate 3 + 0 + 1 - 12 - (-14 + -13 + 79).
-60
What is -82 - (74 + -18 - 109)?
-29
Evaluate -11 + 7 + -2 - (4 + 8 + -12).
-6
Evaluate -105 + 221 + (35 - 34).
117
What is 14 + 11 + -31 + 17 + 12 + -3 + 5?
25
Calculate 99 + -41 - 64 - (-1 + -2) - (-2 - | {
"pile_set_name": "DM Mathematics"
} |
21/8 and -145/4008.
4008
Calculate the common denominator of -139/6 and 28/25.
150
Calculate the common denominator of -16/35 and 52/5.
35
Calculate the lowest common multiple of 96 and 12.
96
What is the common denominator of 71/1232 and -39/352?
2464
Calculate the common denominator of -1/4492 and -83/100.
112300
What is the lowest common multiple of 6 and 524?
1572
What is the common denominator of 18/1463 and 179/1596?
17556
What is the common denominator of -115/12 and -143/2424?
2424
What is the lowest common multiple of 36 and 936?
936
What is the least common multiple of 6 and 29317?
175902
Calculate the lowest common multiple of 60 and 21.
420
Calculate the smallest common multiple of 708 and 84.
4956
Calculate the common denominator of 29/1074 and -139/84.
15036
What is the least common multiple of 2 and 117?
234
Calculate the least common multiple of 9 and 540.
540
Calculate the least common multiple of 246 and 82.
246
Find the common denominator of 31/92 and 97/20.
460
What is the common denominator of 7/2070 and -55/46?
2070
What is the lowest common multiple of 6 and 48?
48
Calculate the smallest common multiple of 15 and 555.
555
Find the common denominator of 107/1590 and -109/742.
11130
Calculate the common denominator of 107/18 and 19/1899.
3798
Calculate the smallest common multiple of 162 and 36.
324
What is the smallest common multiple of 24 and 28?
168
What is the smallest common multiple of 276 and 22?
3036
What is the smallest common multiple of 209 and 57?
627
Calculate the common denominator of 101/714 and 23/315.
10710
What is the common denominator of -109/660 and 62/27?
5940
Calculate the least common multiple of 2408 and 2408.
2408
What is the smallest common multiple of 3596 and 248?
7192
What is the smallest common multiple of 81 and 225?
2025
What is the smallest common multiple of 798 and 342?
2394
What is the least common multiple of 2079 and 1512?
16632
Calculate the common denominator of -91/2948 and 113/10.
14740
What is the common denominator of -86/45 and 34/1359?
6795
Calculate the common denominator of 67/280 and -73/4.
280
Calculate the smallest common multiple of 342 and 14.
2394
Calculate the lowest common multiple of 8 and 2342.
9368
What is the lowest common multiple of 2888 and 114?
8664
Calculate the common denominator of 35/18 and 41/662.
5958
Find the common denominator of 23/14 and -19/422.
2954
Calculate the smallest common multiple of 16 and 16.
16
Calculate the smallest common multiple of 20 and 22.
220
What is the common denominator of -4/55 and -7/480?
5280
Calculate the least common multiple of 153 and 33.
1683
Calculate the common denominator of 119/11154 and 41/30.
55770
What is the least common multiple of 477 and 81?
4293
Calculate the lowest common multiple of 1275 and 3.
1275
Calculate the least common multiple of 5710 and 12.
34260
Calculate the lowest common multiple of 73 and 9.
657
Calculate the common denominator of 43/2525 and 77/2.
5050
What is the common denominator of 63/4 and -25/233?
932
What is the common denominator of -47/168 and -59/10?
840
Find the common denominator of -145/3978 and -41/18.
3978
What is the least common multiple of 1906 and 14?
13342
What is the lowest common multiple of 22 and 12?
132
What is the common denominator of 31/1160 and 13/2552?
12760
Calculate the common denominator of -149/264 and -23/605.
14520
What is the least common multiple of 20 and 40?
40
What is the common denominator of 109/6 and 47/164?
492
What is the smallest common multiple of 430 and 430?
430
Calculate the common denominator of 131/48 and 107/78.
624
What is the common denominator of -71/9 and -38/51?
153
Calculate the common denominator of 33/34 and 101/10.
170
What is the common denominator of 143/276 and -7/30?
1380
What is the common denominator of 86/1875 and -89/15?
1875
What is the least common multiple of 231 and 102?
7854
Calculate the common denominator of -29/1770 and 26/531.
5310
Calculate the smallest common multiple of 20 and 56866.
568660
What is the common denominator of 157/60 and 125/78?
780
What is the smallest common multiple of 18 and 16?
144
Calculate the common denominator of -8/25 and -169/30.
150
What is the least common multiple of 2 and 192?
192
What is the smallest common multiple of 105 and 15?
105
What is the common denominator of -67/20 and -59/1088?
5440
Find the common denominator of -43/1887 and 29/51.
1887
Find the common denominator of -119/282 and 51/14.
1974
Calculate the least common multiple of 360 and 90.
360
What is the least common multiple of 8 and 2092?
4184
Calculate the common denominator of -9/52 and -89/880.
11440
Find the common denominator of 127/504 and -121/10.
2520
What is the common denominator of -127/78 and -71/66?
858
Find the common denominator of -43/4275 and 63/275.
47025
What is the smallest common multiple of 565 and 36?
20340
Find the common denominator of -85/26 and -49/65.
130
Calculate the common denominator of 58/15 and -7/123.
615
What is the common denominator of 52/3 and -13/1255?
3765
What is the common denominator of -47/3 and 52/135?
135
What is the common denominator of -61/64 and 23/160?
320
Calculate the least common multiple of 78 and 3402.
44226
Calculate the least common multiple of 44 and 104.
1144
What is the lowest common multiple of 987 and 423?
2961
What is the common denominator of -11/204 and 3/34?
204
Calculate the common denominator of -27/224 and -5/224.
224
Find the common denominator of 7/45 and 85/6.
90
What is the common denominator of 79/924 and 34/3?
924
Calculate the least common multiple of 215 and 215.
215
What is the common denominator of -82/15 and 65/423?
2115
What is the smallest common multiple of 11 and 999?
10989
What is the common denominator of 63/1580 and -61/108?
42660
What is the lowest common multiple of 620 and 18?
5580
Find the common denominator of 41/70 and 5/56.
280
Calculate the lowest common multiple of 8 and 6.
24
What is the common denominator of -109/78 and 73/33?
858
Calculate the common denominator of -127/756 and -13/540.
3780
What is the lowest common multiple of 126 and 168?
504
What is the lowest common multiple of 4972 and 10?
24860
Calculate the common denominator of 51/28 and -63/16.
112
Calculate the common denominator of -131/540 and -41/435.
15660
Calculate the least common multiple of 140 and 1260.
1260
Calculate the lowest common multiple of 56 and 4.
56
Find the common denominator of -11/10 and -59/34.
170
What is the common denominator of 1/13 and -79/147?
1911
What is the common denominator of -19/528 and -21/352?
1056
What is the common denominator of -39/64 and -113/20?
320
Calculate the least common multiple of 183 and 7.
1281
What is the lowest common multiple of 20 and 81?
1620
Calculate the common denominator of 59/46 and -53/54.
1242
What is the smallest common multiple of 57 and 5?
285
Calculate the smallest common multiple of 84 and 42.
84
Calculate the least common multiple of 8 and 146.
584
What is the common denominator of 35/2 and -51/23975?
47950
What is the common denominator of -19/3 and 16/767?
2301
Calculate the common denominator of -59/42 and -11/96.
672
What is the lowest common multiple of 165 and 66?
330
Calculate the lowest common multiple of 14 and 2.
14
What is the common denominator of -39/4972 and -101/52?
64636
What is the common denominator of -47/6 and -107/410?
1230
Calculate the common denominator of 42 and -81/28.
28
What is the common denominator of -137/162 and -83/306?
2754
Calculate the lowest common multiple of 8 and 16.
16
Calculate the least common multiple of 249 and 27.
2241
What is the common denominator of 55/7424 and -43/640?
37120
What is the least common multiple of 52 and 208?
208
What is the least common multiple of 15 and 156?
780
What is the lowest common multiple of 12 and 66?
132
What is the smallest common multiple of 3872 and 4356?
34848
Calculate the lowest common multiple of 1406 and 111.
4218
What is the common denominator of -33/1855 and 59/35?
1855
Calculate the common denominator of -20/2583 and 34/1845.
12915
Calculate the lowest common multiple of 15 and 2544.
12720
What is the least common multiple of 490 and 770?
5390
What is the common denominator of 55/8772 and 1 | {
"pile_set_name": "DM Mathematics"
} |
nder when 154 is divided by g?
37
Let l = -47 - -80. Suppose -v - 2*v = -l. What is the remainder when v is divided by 6?
5
Let h = 67 + -44. What is the remainder when h is divided by 4?
3
Let w(u) = -2*u - 6. Let y(s) = s**3 + 2*s**2 - 3*s + 7. Calculate the remainder when y(-3) is divided by w(-4).
1
Let v(r) = -4 - r**3 + 0*r**2 + 3*r**2 - 4*r - r**2 + 9*r. Let j be v(3). Suppose -p - j = -2*p. What is the remainder when 5 is divided by p?
1
Let r(p) = -p. Calculate the remainder when r(-4) is divided by 2.
0
Suppose -3*v - 2*f + 21 = -f, 2*f + 46 = 5*v. Let w = 122 + -78. Let d = -29 + w. What is the remainder when d is divided by v?
7
Let c(g) = 5*g**2 - 1. Suppose -5*u + 2*u = -3*q, -2*u - 4*q + 12 = 0. What is the remainder when c(1) is divided by u?
0
Suppose -4*n = -0*g - 2*g + 10, 5*g - 3*n = -10. Let a = g + 10. Suppose -m + 1 = -5*j - a, 6 = m + 3*j. Calculate the remainder when 17 is divided by m.
5
Let f be (4/5)/((-6)/(-1005)). Suppose 0*h + 5*o = 2*h - 80, 3*o = -4*h + f. Calculate the remainder when h/(-3)*(1 - 4) is divided by 18.
17
Let g(p) = -p**2 + 9*p - 8. Let i be g(8). Suppose 2*n + l = -47, -3 = -l - i. What is the remainder when (60/n)/(6/(-80)) is divided by 11?
10
Suppose 2*c - c - 25 = -2*q, q + 55 = 4*c. Let n(o) = -4 + 6 + o**2 + 5*o + o**2. What is the remainder when n(-6) is divided by c?
14
Suppose -k + 2*b - 6*b + 75 = 0, 0 = 2*k - 5*b - 176. What is the remainder when k is divided by 22?
17
Suppose 29 - 194 = -5*r. Calculate the remainder when 130 is divided by r.
31
Suppose -g + 79 = 4*g - 4*l, l = 2*g - 34. Calculate the remainder when g is divided by 5.
4
Suppose -2*c + 6*c - 16 = 0. Suppose 0 = -4*v + v. Let o = v + c. Calculate the remainder when 6 is divided by o.
2
Let n = 9 + -7. Suppose 0 = -n*x + 5*c + 55, 3*x + c + 14 = 54. What is the remainder when x is divided by 4/(-1*(-2)/4)?
7
Let m(w) = w**3 - 6*w**2 + w - 8. Let b be m(7). Suppose -4*n + n = -b. What is the remainder when (15/2)/(1/4) is divided by n?
14
Suppose -5*k + 4*k - 4*u = -18, -2*u - 2 = -5*k. Calculate the remainder when k - (-72)/(1 - -1) is divided by 13.
12
Let d(t) = t**2 + t. Let x(n) = 4*n + 11. Let r(s) = 7*s + 21. Let k(v) = 3*r(v) - 5*x(v). Let y be k(-4). What is the remainder when d(y) is divided by 11?
9
Let y(u) = u + 2. Let m be y(3). Suppose -5*r + 155 = 3*t, 0 = -m*r - t - t + 155. Calculate the remainder when r is divided by 11.
9
Let w(a) = -a**3 - 3*a**2 + 1. Let o be w(-2). Let u be (-2 - o)*-1 - 107. What is the remainder when 13 is divided by u/(-15) + (-2)/10?
6
Suppose -63 = 4*s - 7*s. What is the remainder when 41 is divided by s?
20
Suppose 2*i = -3*i + 15. Suppose i = -2*z + 37. Suppose 3 = -3*y + 30. Calculate the remainder when z is divided by y.
8
What is the remainder when ((-14)/4)/7*-14 is divided by 2?
1
Calculate the remainder when 11 is divided by 2/(-6)*(5 + -14).
2
Suppose -62 = -33*l + 32*l. Calculate the remainder when l is divided by 13.
10
Suppose 0 = 13*g + 14 - 66. What is the remainder when g is divided by 3?
1
Suppose -3*s - z = -7, -5*s + 4*z = 8*z - 21. Let j be (-51)/(-15) + (-2)/5. Let t = j - s. What is the remainder when 4 is divided by t?
0
Calculate the remainder when (8/(-16))/((-2)/468) is divided by 30.
27
Let c(v) = v + 1. Calculate the remainder when c(2) is divided by 30/(-25)*(-15)/9.
1
Let x be (4/(-3))/(3/(-9)). Let j = 10 - 5. Calculate the remainder when (2*4)/(-3 + x) is divided by j.
3
Suppose 0*i - i - 55 = -4*d, 4*i = d - 10. Calculate the remainder when d is divided by 4.
2
Let x = 53 + -43. Calculate the remainder when 15 is divided by x.
5
Calculate the remainder when 201 is divided by 3/6 - 1*402/(-12).
31
Let p(c) = -c**2 - 16*c + 12. What is the remainder when 83 is divided by p(-16)?
11
Let t(n) = -n**3 - 7*n**2 + 9*n + 11. Let j be t(-8). Suppose 0 = b - 6*b - j*k + 94, 2*b - k = 31. Calculate the remainder when 33 is divided by b.
16
Suppose 0 = -4*w + 40 + 104. Suppose 0 = 3*j - w + 6. Calculate the remainder when 19 is divided by j.
9
Suppose 0 = -f - 5*h - 22, 4*h = -6*f + f - 89. Let l = f - -24. What is the remainder when 11 is divided by l?
4
Let g = 7 + 3. Suppose -5*o = -g, 4*x - 2 = 3*o + 2*o. Calculate the remainder when 7 is divided by x.
1
Let k(s) = 2*s**2 - 36*s + 26. Suppose -4*z = -4*v + 36, -5*v - 2*z + 9 = -4*v. Suppose 5 = 2*i - v. What is the remainder when k(18) is divided by i?
5
Suppose -h + g = -35, 5*h = 4*g - 0*g + 171. Calculate the remainder when h is divided by 11.
9
Let f = 166 + -68. Calculate the remainder when f is divided by 33.
32
Let h = 21 + -37. Let n = h + 24. What is the remainder when 22 is divided by n?
6
Suppose -v + 36 = 2*v. Calculate the remainder when 45 is divided by v.
9
Let y be (-3 + 0)/(9/(-66)). Suppose 0 = 5*t - w - w + y, 0 = -3*w - 12. Let i = t - -24. What is the remainder when i is divided by 10?
8
Let q(o) = -15*o. Calculate the remainder when q(-3) is divided by 16.
13
Let l = -83 + 126. Suppose 0 = -p - 3*h + 37, 3*p - h - l = 38. Suppose s - p = -0*s. Calculate the remainder when s is divided by 15.
13
Let h = -1 - -3. Let n(f) = -f**2 + 2*f + 1. Calculate the remainder when 2 is divided by n(h).
0
Let r(m) = 18*m**2 + m + 1. Let t be ((-4)/(-6))/((-4)/6). Suppose -5*k = -21 - 29. What is the remainder when r(t) is divided by k?
8
Let o(d) = -d**2 - 7*d + 9. Let n(c) = c**2 - 3*c + 3. What is the remainder when n(-5) is divided by o(-6)?
13
Let d be 44/10 - 4/10. Suppose 0 = -4*q - 2*y + 30, -q + 3*q + 4*y = 24. What is the remainder when 1/(d/(-84)*-1) is divided by q?
3
Let o(r) = 5*r**3 - 4*r**2 + 3*r - 1. Let i be o(2). Suppose 2*s = h - i, s = 4*h - 89 - 6. Calculate the remainder when h is divided by 9.
5
Suppose 4*q = 5*g - 121, 5*q = -2*g + 4*g - 130. Let f = 40 + q. Suppose 0 = -3*y - o + 19, -4*y + 9*y - o = 29. What is the remainder when f is divided by y?
4
Suppose 6*j - 214 - 212 = 0. Calculate the remainder when j is divided by 24.
23
Let q = 10 + -7. Suppose 3*p = 5*z - 11, -q*p + 4*z + 2 = 9. Let a = 27 - p. What is the remainder when a is divided by 13?
11
Suppose 5*h - 27 = 2*c + 32, 0 = h + 5*c - 1. Suppose 0*f = 2*f - 62. What is the remainder when f is divided by h?
9
Suppose -326 = -12*t + 214. Calculate the remainder when t is divided by ((-8)/(-3))/((-4)/(-18)).
9
Let o = -1 + 2. Calculate the remainder when 1 is divided by o.
0
Suppose -3*k - 3 - 3 = 0, 0 = -5*h + 2*k + 9. Let n(d) be the first derivative of -d**2 - d + 1. What is the remainder when h is divided by n(-1)?
0
What is the remainder when ((-82)/2)/((-4)/4) is divided by 14?
13
Let f = -17 + 45. Calculate the remainder when f is divided by ((-25)/(-10))/(2/8).
8
Suppose -3*y + 171 = -n, 2*n + n = -9. What is the remainder when y is divided by 15?
11
Suppose -5*d - 210 = -10*d. What is the remainder when d is divided by 11?
9
What is the remainder when (-15)/20*-4 + 19 is divided by 9?
4
Let l = 6 + -10. Let x(g) = g + 1. Let s be x(l). What is the remainder when (s - -1)*1 - -44 is divided by 15?
12
Suppose -2*f - 5*z = 59, -2*f - 7 = z + 40. Let t = 31 + f. Calculate the remainder when 35 is divided by t.
8
Suppose -w + 17 = -4*y, 33 + 35 = 4*w + 2*y. What is the remainder when w is divided by (6/8)/((-2)/(-16))?
5
Let m(l) = l. Let x be m(5). Suppose -3*t = 4*c - 38, x = t - 2*c - 1. Calculate the remainder when (-230)/(-12) + 2/(-12) is divided by t.
9
Let l = 6 - 4. Suppose -10 = 5*r - 4*s, -4*r - r = -l*s. Let t = -1 - -3. Calculate the remainder when r is divided by t.
0
Suppose 2*u - 5 = 3. Let h = 30 - 12. Suppose -2*q + h = -2. What is the remainder when q is divided by u?
2
Suppose g = -p + 25, p = 5*g - 53 - 60. Let w(o) = 2*o**2 + 3*o - 14. What is the remainder when w(-8) is divided by g?
21
Suppose -2*x - 2*x = 0. Let y = x - -9. Calculate the remainder when 25 is divided by y.
7
Let w = 133 - 128. Calculate the remainder when 8 is divided by w.
3
Suppose -2*n = -0*n + 70. Let u = -19 - n. Let d = 2 + 45. Calculate the remainder when d is divided by u.
15
Let s = -4 + 6. Let j(k) = 4*k + 3*k**3 - s - 3*k**2 - k**2 - k**3. Calculate the remainder when j(3) is divided by 10.
8
Let b = 8 + -15. Let g = b + 28. Suppose 0*k + 32 = 4*k. What is the remainder when g is divided by k?
5
Suppose | {
"pile_set_name": "DM Mathematics"
} |
)
Suppose -5/2*p**3 + 5/6*p**4 + 5/3*p**2 + 0 + 0*p = 0. Calculate p.
0, 1, 2
Let t(d) be the first derivative of d**7/210 + d**6/30 - d**5/12 + 8*d**2 - 20. Let f(r) be the second derivative of t(r). Factor f(h).
h**2*(h - 1)*(h + 5)
Suppose -6*l + 5 + 7 = 0. Let u be (1/l)/((-12)/(-192)). Factor 28*d**2 - u*d**2 - 7*d - 8 + 5*d - 10*d.
4*(d - 1)*(5*d + 2)
Factor -y + 5*y - 111 + 4*y**2 + 111.
4*y*(y + 1)
Let x(t) = -t**3 + 4*t**2 + 4*t - 8. Let o be x(4). Let i be (-12)/8*o/(-6). Determine u, given that -u**4 - u**3 + 3*u**3 - 2*u**2 + 3*u**4 - i*u = 0.
-1, 0, 1
Suppose 32 = -10*z + 37*z - 22. Factor 3*m**z + 11/4*m**3 + 0 + 3/4*m**4 + m.
m*(m + 1)*(m + 2)*(3*m + 2)/4
Let v(a) be the third derivative of -1/180*a**6 + 0 + 0*a + 0*a**3 + 7*a**2 + 0*a**4 - 1/90*a**5. What is t in v(t) = 0?
-1, 0
Let f be 6/20*(-50)/(-90). Let u(k) be the third derivative of 0*k + 6*k**2 + 1/10*k**5 + 0*k**3 + 0 + f*k**4 + 1/60*k**6. Factor u(y).
2*y*(y + 1)*(y + 2)
Factor -2*t**2 - 27*t + 17*t + 30*t + 50*t + 7*t**2.
5*t*(t + 14)
Suppose 0 = 5*w + 4*z - 30, 22 = 5*z - 3. Suppose 0 = -3*g - g + d + 22, 2*d + 14 = w*g. Factor -11*j**4 - 8*j + 28*j**2 - 36*j**3 + 23*j**4 - 4*j**g + 8*j**4.
-4*j*(j - 2)*(j - 1)**3
Factor 32*k**2 + 10*k + 18 - 24*k**2 + 11*k + k**3.
(k + 2)*(k + 3)**2
Let k(f) be the second derivative of f**4/48 + f**3/3 - 33*f**2/8 + 11*f - 2. Determine g, given that k(g) = 0.
-11, 3
Let s be 48/56 - (2 - 2). Factor 3*d - 90/7*d**2 + s.
-3*(5*d - 2)*(6*d + 1)/7
Let t(w) = -3*w + 5. Let y(m) = 16*m - 28. Let k(u) = 28*t(u) + 5*y(u). Let h be k(-1). Factor 0 - 24*g**2 + h*g + 3 - 22*g - 6.
-3*(2*g + 1)*(4*g + 1)
Let s(d) be the first derivative of -2*d**5/105 + 3*d**4/14 - 16*d**3/63 - 798. What is t in s(t) = 0?
0, 1, 8
Let q(r) = 6*r**4 + 23*r**2 - 11*r - 19. Let j(t) = t**4 + 2*t**2 - t - 1. Let d(v) = 28*j(v) - 4*q(v). Let d(w) = 0. Calculate w.
-3, -1, 2
Let o(k) be the first derivative of 0*k**3 + 6*k + 5 - 1/78*k**4 + 1/13*k**2. Let a(r) be the first derivative of o(r). Factor a(v).
-2*(v - 1)*(v + 1)/13
Let a(d) = 3*d**3 + 54*d**2 + 99*d + 44. Let q(l) = l**3 + 2*l**2 + l - 2. Let x(z) = a(z) - 2*q(z). Factor x(k).
(k + 1)**2*(k + 48)
Let w(c) be the first derivative of 0*c**2 + 0*c**3 + 0*c**4 + 3*c + 1/20*c**5 - 6 - 1/30*c**6. Let j(m) be the first derivative of w(m). Factor j(q).
-q**3*(q - 1)
Let -1/2*x**4 + 0*x + 0 - 15/2*x**2 - 4*x**3 = 0. Calculate x.
-5, -3, 0
Let i(y) = -28*y**4 - 28*y**3 + 20*y**2 - 4*y - 8. Let t(j) = -2*j**4 - j**3 + j**2 - j. Let x(z) = -i(z) + 16*t(z). Factor x(b).
-4*(b - 2)*(b - 1)**2*(b + 1)
Let b(w) = 5*w**3 + 8*w**2 + 10*w + 6. Let q(t) = 7*t**3 + 9*t**2 + 9*t + 5. Let d(p) = 6*b(p) - 4*q(p). Factor d(j).
2*(j + 2)**3
Let h be 6 + -2 - (-2)/2. Suppose 0 = -a - m + h, 9*m - 5 = 4*m. Solve -s**4 - 3*s**4 + 2*s**4 + a*s**4 = 0 for s.
0
Let y(t) be the second derivative of t**5/20 + 19*t**4/4 - 39*t**3/2 + 59*t**2/2 - 2*t + 5. Suppose y(p) = 0. What is p?
-59, 1
Let v be (7 - (-730)/(-40))*2/(-9). Factor -5*n**2 - 5/2*n**5 + v*n + 5*n**4 + 0 + 0*n**3.
-5*n*(n - 1)**3*(n + 1)/2
Let o(r) be the second derivative of 0 + 9*r + 0*r**2 - 1/40*r**5 + 1/24*r**4 + 0*r**3. Factor o(l).
-l**2*(l - 1)/2
Factor 12/5*m**2 + 3*m + 3/5*m**3 + 6/5.
3*(m + 1)**2*(m + 2)/5
Let p = 64 - 59. Suppose 2*z**4 + p*z**4 - z**4 + 2*z**5 - 4*z**4 = 0. Calculate z.
-1, 0
Let y = -41 - -35. Let r be y/(-3) + (-2 - (-2)/10). Factor 1/5*v**2 - r + 0*v.
(v - 1)*(v + 1)/5
Let g(q) = 4*q**2 + 26*q + 33. Let n(i) = 31*i**2 + 207*i + 267. Let d(z) = -46*g(z) + 6*n(z). Factor d(w).
2*(w + 2)*(w + 21)
Let d be 5/(15/2) - 16/(-12). Let c(h) be the third derivative of -1/32*h**4 + 0*h**5 + 0*h + 1/480*h**6 + 0 + 1/12*h**3 + 2*h**d. Solve c(m) = 0.
-2, 1
Let z(t) = -t**2 - 7*t + 4. Let g be z(-7). Suppose 2*r = x + 4, -12 - 7 = -3*r - 5*x. Factor 10/9*y**2 + 0 - 2/3*y - 2/9*y**r - 2/9*y**g.
-2*y*(y - 1)**2*(y + 3)/9
Let i = -129 - -73. Let u be (48/i)/(-6) + 1/(-7). Factor -4/9*a - 2/9*a**2 + u.
-2*a*(a + 2)/9
Let j be 3/3 - 12/(0 + -3). Let h be 10/4 - ((-15)/j - -5). Factor 0 + 1/2*w - w**2 + h*w**3.
w*(w - 1)**2/2
Find y such that 0 - 27/2*y**2 - 1/6*y**4 + 3*y**3 + 0*y = 0.
0, 9
Let d(i) = 2*i**2 + 616*i - 615. Let z be d(1). Solve 4/9*y**5 - 8/9*y**2 - 8/9*y**z + 4/9*y**4 + 4/9 + 4/9*y = 0 for y.
-1, 1
Let g(f) be the second derivative of 0*f**3 - 5*f + 0*f**2 + 1/75*f**6 + 0 + 1/50*f**5 + 0*f**4. Solve g(v) = 0.
-1, 0
Factor 4/19*d**3 - 10/19*d**2 + 0 - 12/19*d + 2/19*d**4.
2*d*(d - 2)*(d + 1)*(d + 3)/19
Suppose 0 = -28*n + 29*n - 2. Factor -2*y + 12*y**2 - 6*y**2 + n - 2.
2*y*(3*y - 1)
Let l(h) be the first derivative of -h**7/210 - h**6/30 + 8*h**3/3 + 7. Let g(d) be the third derivative of l(d). Factor g(t).
-4*t**2*(t + 3)
Let w(k) = 2*k**2 - 3*k**2 + 7*k - 2 - 2 + 0. Let f be w(6). Let -2*n**2 - n**3 + n**2 + f*n**2 - 3*n**4 + n + 2*n**4 = 0. Calculate n.
-1, 0, 1
Let c(z) = -9*z**4 - 16*z**3 - 16*z**2 + 5*z - 5. Let p(i) = 5*i**4 + 8*i**3 + 8*i**2 - 3*i + 3. Let v(d) = 6*c(d) + 10*p(d). Determine a, given that v(a) = 0.
-2, 0
Let x(n) be the third derivative of -8*n**5/225 + 2*n**4/45 - n**3/45 - 9*n**2 - 4. Determine w so that x(w) = 0.
1/4
Let t = -1/16 + 17/240. Let g(h) be the second derivative of -1/3*h**3 - 3*h - t*h**5 - 1/12*h**4 + 0 - 2/3*h**2. Let g(s) = 0. What is s?
-2
Let x = -1336 - -1340. Let c(k) be the third derivative of -6*k**2 + 0*k**3 - 1/280*k**7 + 0*k**x + 0*k**5 + 0*k**6 + 0 + 1/112*k**8 + 0*k. Factor c(d).
3*d**4*(4*d - 1)/4
Let j(l) be the third derivative of -l**6/30 - 11*l**5/30 - 17*l**4/12 - 2*l**3 - 99*l**2 - 3*l. Factor j(b).
-2*(b + 2)*(b + 3)*(2*b + 1)
Factor -2/17*z**2 - 4/17*z + 0.
-2*z*(z + 2)/17
Let c(x) = -3*x + 2. Let i be c(-2). Let p = i + -8. Factor 7*n**2 + 8*n**3 + 7*n + 5*n + 2 + 11*n**2 + p.
2*(n + 1)**2*(4*n + 1)
Let g(d) = d**2 - d + 1. Let z(s) = 5*s**4 - 15*s**3 - 28*s**2 + 18*s + 17. Let l(w) = 3*g(w) + z(w). Factor l(x).
5*(x - 4)*(x - 1)*(x + 1)**2
Let c = 5321/2945 - 4/589. Factor 1/5 + 27/5*l**2 - 27/5*l**3 - c*l.
-(3*l - 1)**3/5
Let n(x) be the second derivative of -x**7/630 - x**6/45 - 2*x**5/15 + x**4/4 - 14*x. Let i(s) be the third derivative of n(s). Factor i(g).
-4*(g + 2)**2
Let o be ((-2)/14 + 0)*0. Let q(l) be the third derivative of 1/108*l**4 - 1/90*l**5 + 0*l + 0*l**3 + 1/180*l**6 + o - 1/945*l**7 + 13*l**2. Factor q(i).
-2*i*(i - 1)**3/9
Suppose 0 = 24*g - 3*g + 42. Let b be (11/(-22))/(g/8). Suppose -1/8*l**3 + 1/8*l**b + 0 + 0*l = 0. What is l?
0, 1
Let j(s) = 7*s**4 - 11*s**3 + 12*s**2 - 2*s - 8. Let q = -38 + 8. Let l(h) = -h**4 + h**3 - h**2 + h. Let a(w) = q*l(w) - 5*j(w). Solve a(x) = 0 for x.
-1, 2
Find r such that 2/5*r - 4/5 - 2/5*r**3 + 4/5*r**2 = 0.
-1, 1, 2
Let q(o) be the third derivative of 0 - 1/8*o**3 - 12*o**2 + 0*o + 1/8*o**4 - 3/40*o**5 - 1/280*o**7 + 1/40*o**6. Let q(w) = 0. Calculate w.
1
Let s(a) be the second derivative of a**5/10 + 13*a**4/3 + 169*a**3/3 + a + 116. Determine o so that s(o) = 0.
-13, 0
Let o(c) be the first derivative of -c**8/1680 - c**7/210 - c**6/72 - c**5/60 - c**3/3 + 12. Let w(p) be the third derivative of o(p). Factor w(v).
-v*(v + 1)**2*(v + 2)
Let n(s) be the second derivative of -9/2*s**3 + 5/14*s**7 + 3/5*s**5 + 6/5*s**6 - 5/2*s**4 - 5*s + 0 - 3*s**2. Factor n(m).
3*(m - 1)*(m + 1)**3*(5*m + 2)
Let j(m) be the second derivative of -2/3*m**4 - 3*m**2 + 10*m - 13/6*m**3 + 0 - 1/20*m**5. Factor j(w).
-(w + 1)**2*(w + 6)
Let m(l) be the third derivative of -l**7/504 - l**6/12 - 3*l**5/2 - 25*l**4/24 + 16*l**2. Let b(s) be the second derivative of m(s). Let b(f) = 0. Calculate f.
-6
Factor 0 - 1/2*h**3 + 0*h + 3/2*h**2.
-h**2*(h - 3)/2
Let 24 + 1/2*s**2 - 49/2*s = 0. Calculate s.
1, 48
Let g = -25 - -13. Let f(z) = -z**2 + z - 1. Let j(i) = 14*i**2 - 32*i + 62. Let m(p) = g*f(p) - j(p). Factor m(d).
-2*(d - 5)**2
Let x(p) be the third derivative of -9*p**8/224 + 3*p**7/70 + 31*p**6/40 + 3*p**5/10 - 29*p**4/16 + 3*p**3/2 + 12*p**2 + 1. What is t in x(t) = 0?
-2, -1, 1/3, 3
Let q(t) be the first derivative of 11/18*t**3 + 2*t**2 - 5 + 2/3*t. Determine c, given that q(c) = 0.
-2, -2/11
Let t be 306/28 - (-1 - 6 - 17/(-2)). Determine y so that 122/7*y**2 - 36/7 - t*y**3 + 10/7*y**4 - 30/7*y = 0.
-2/5, 1, 3
Let t(u) be the thi | {
"pile_set_name": "DM Mathematics"
} |
. Calculate the remainder when 1/(-4) + a/24 is divided by g.
13
Let n(r) = r**2 - 3*r + 12. Calculate the remainder when n(10) is divided by 21.
19
Let t(j) = -7*j + 2*j**2 + 2 - 3 + 7. Calculate the remainder when t(4) is divided by 4.
2
Let b(f) = -f**3 - 7*f**2 - 4*f - 7. Let i(s) = 7*s - 3. Let u be i(7). Suppose 0 = 2*q - u - 34. What is the remainder when q is divided by b(-7)?
19
Calculate the remainder when 223 is divided by 4/(-32) - 722/(-16).
43
Let m = -329 + 579. What is the remainder when m is divided by 42?
40
What is the remainder when 22 is divided by 60/14 - (-48)/(-168)?
2
Let h(m) = -2*m + 2*m + 9*m - 5. Suppose -3*x + 9 + 9 = 0. What is the remainder when h(x) is divided by 17?
15
Let x = 20 + -6. Calculate the remainder when 68 is divided by x.
12
Let g(v) = 4*v**2 - 4*v + 3. Suppose -3*t + 2 = -4. What is the remainder when 31 is divided by g(t)?
9
Let y = 15 + 30. Calculate the remainder when y is divided by 8.
5
Let q = 0 + 22. What is the remainder when 85 is divided by q?
19
Let o = -34 - -47. What is the remainder when 34 is divided by o?
8
Suppose -3*r + r = -40. Suppose 0 = 5*v + 5*t - 305, 0 = -4*v + 5*t - 0*t + 226. Calculate the remainder when v is divided by r.
19
Calculate the remainder when 48 is divided by 2/(-1)*(-170)/20.
14
Let y(h) = -2*h + 2. Let b(j) = -8*j. Suppose 4*x - 3*d + 8 = 2*d, -5*d = 3*x + 6. What is the remainder when b(x) is divided by y(-2)?
4
Suppose -4*x - 2*f + 0*f + 32 = 0, 0 = 5*x - f - 47. Calculate the remainder when 26 is divided by x.
8
Suppose 3*l - 4*q = -1 + 93, 0 = -2*l + 2*q + 60. Let b = 41 - l. Suppose -30 = -2*k + 4*g, 3*g - 62 = -5*k + b. What is the remainder when 43 is divided by k?
13
Suppose 2*q - 492 = -2*q. Suppose 0 = 3*n - 3*h - q, -n - 2*h + 86 = n. Calculate the remainder when n is divided by (-6)/(-10) - 624/(-60).
9
Suppose -5*y - 31 = 2*v - 84, 3 = y. Calculate the remainder when (-298)/(-8) + 1/(-4) is divided by v.
18
Let z = -244 - -49. What is the remainder when 61 is divided by z/(-12) + (-3)/12?
13
Let m = -131 - -149. Calculate the remainder when 33 is divided by m.
15
Suppose -4*w - 70 + 334 = 0. What is the remainder when w is divided by 23?
20
Let s(u) = -9*u - 7. Calculate the remainder when 31 is divided by s(-2).
9
Let z = 9 - 2. Let j(y) = y**2 - 2*y - 6. Calculate the remainder when z is divided by j(4).
1
Suppose 10*k - 181 = 189. What is the remainder when 145 is divided by k?
34
Suppose -2*l + 2*h + 70 = 0, -5*l + 2*l - 4*h + 133 = 0. Calculate the remainder when l is divided by 14.
11
Let u(p) = 5*p - 4. What is the remainder when 21 is divided by u(3)?
10
Let c(k) = 9*k - 34. What is the remainder when (58/(-4))/(1/(-4)) is divided by c(6)?
18
Let g(d) = -d**2 - d. Let y be g(0). Let a(z) = -6*z + 4 + z**3 + 12*z - 6*z. What is the remainder when 6 is divided by a(y)?
2
Suppose 4*i + t - 409 = 0, -4*t = -t + 9. Calculate the remainder when i is divided by 21.
19
Let c = -11 - -16. Suppose c*n - 125 = -0*n. Suppose -56 = -4*p - 4. What is the remainder when n is divided by p?
12
Let k = 178 + -82. Suppose -k = -3*o - o. Let x(j) = 4*j + 1. What is the remainder when o is divided by x(2)?
6
Suppose q + 3*q - 24 = 0. Suppose -5*g - 12 - q = -y, -5*g = -5*y + 170. Let n = -25 + y. Calculate the remainder when 37 is divided by n.
11
Let v(l) = -l**3 + 6*l**2 + 5. Let o be v(6). Suppose b = -j - 2, -3*j + o*b = -j + 32. Let s = 32 + j. Calculate the remainder when s is divided by 14.
12
Let y(r) = -r + 2. Let p be y(2). Suppose 2*z = 4*z - 30. Let k = z + p. Calculate the remainder when k is divided by 8.
7
Let n = -26 - -37. Calculate the remainder when 74 is divided by n.
8
Suppose -45 = -7*y + 2*y. Let g(f) = -13*f + 4. What is the remainder when g(-1) is divided by y?
8
Suppose 3*g - 5*g = 12. What is the remainder when 50 is divided by -3*26/g*1?
11
Let g(o) = -o**2 + 5*o + 6. What is the remainder when 13 is divided by g(5)?
1
Let c be (-2 + (-15)/(-6))*0. Suppose b - 5*b + 220 = c. Suppose 3*j + 26 = -o + 79, -5*o + 56 = 4*j. Calculate the remainder when b is divided by j.
17
Suppose 1770 = 4*b + 6*b. Calculate the remainder when b is divided by 15.
12
Suppose 0 = 2*f - 6*f + 2*o + 72, 2*o + 40 = 2*f. Let p be 27/(-6)*(-4)/6. Let t(u) = u**3 + u**2 - 3*u + 3. What is the remainder when t(p) is divided by f?
14
Let k = 10 + -7. What is the remainder when 26 + k/(-3) + 2 is divided by 14?
13
Let g = 14 + -10. Suppose 2*l + 39 = 5*l. Calculate the remainder when l is divided by g.
1
Suppose 2*p - 16 = -2*p. Let l = 13 - p. Calculate the remainder when 26 is divided by l.
8
Let a = -10 + 15. Calculate the remainder when 14 is divided by a.
4
Suppose -2*t - 2*z = -3*t + 40, -3*t = 4*z - 80. Calculate the remainder when t is divided by 11.
10
Let h(c) = -c**3 + c**2 + c - 14. Suppose 0 = -u - 4*u. Let w be h(u). Calculate the remainder when 27 is divided by 0 + (-1 + 0)*w.
13
Let a(z) = -z**3 - z + 2. Let m be a(0). Suppose m*u = -5*c - 1, 4*u = -9*c + 4*c + 13. What is the remainder when u is divided by 4?
3
Let k(u) = -21*u**3 + u - 1. Suppose 2*l + 3 = 5. Let w be k(l). Let z = -15 - w. Calculate the remainder when z is divided by 4.
2
Suppose 2 = -4*y + 10. Let o(a) = a**3 - 2*a**2 - 2*a + 4. Let p be o(3). Calculate the remainder when 26 is divided by 0 - p*-1*y.
12
Let r(k) = -2*k**2 + 23*k + 14. Let f(c) = c**2 - 12*c - 7. Let w(t) = 5*f(t) + 3*r(t). What is the remainder when 18 is divided by w(9)?
4
Let i(j) = j**2 + 2 + 2 - j - 2 - 2*j**2. Let p be i(2). Calculate the remainder when 44/6 + p/(-6) is divided by 5.
3
Suppose -163 = 4*c - 5*p, 3*c = -7*p + 2*p - 131. Let b = -28 - c. What is the remainder when 38 is divided by b?
10
Let n(x) be the second derivative of x**4/12 - 2*x**3/3 - x**2 + x. Calculate the remainder when 55 is divided by n(7).
17
Suppose -8 = n - 125. Let v = -70 - -100. What is the remainder when n is divided by v?
27
Let d(h) = -h + 11. Suppose -5*c + c + 32 = 0. Let m be d(c). Suppose 0 = m*r - 2*r - 43. Calculate the remainder when r is divided by 15.
13
Let j = -117 - -190. Suppose n - 5 = 14. What is the remainder when j is divided by n?
16
Suppose -3 = z - j, j - 3*j = -z - 8. Suppose -z*t = 3*t - 345. Suppose -2*f = f - t. Calculate the remainder when f is divided by 12.
11
Let m be (456/(-20))/(1/(-5)). Suppose g + m = -g. Let r = -36 - g. What is the remainder when r is divided by 8?
5
Let i(k) = -7*k + 2. Let b = 1 - 5. Calculate the remainder when i(b) is divided by 16.
14
Let x be -1 + (-2 - -2*1). Let g be 0/(-1) - (-26 - x). Let l = g - 12. Calculate the remainder when 24 is divided by l.
11
Suppose 4*x - 2*w = -18 - 28, -x - 3*w - 1 = 0. Let o(h) = -2*h + 3. What is the remainder when o(-8) is divided by x/4*(2 - 6)?
9
Suppose -23 = l - d - 4, 2*d = 2. Let a = l - -31. What is the remainder when (-1)/4 - (-306)/8 is divided by a?
12
Calculate the remainder when 41 is divided by 26/(-13) + 1 + 8.
6
Let v = 74 + 1. Let f = 45 + -26. Calculate the remainder when v is divided by f.
18
Let b(o) = -o + 6. Let a(f) = -f - 5. Let h be a(-5). Let w be (-1 - -1)*-1 - h. Calculate the remainder when 17 is divided by b(w).
5
Let w(h) = h**3 + 4*h**2 + 3*h - 2. Let b be w(-3). Let x(l) = 8*l**2 + 1. Let k(o) = o**2 + 4*o - 3. Calculate the remainder when x(b) is divided by k(-6).
6
Suppose -36 = -3*j - j. Calculate the remainder when 44 is divided by j.
8
Let g = -21 + 22. Calculate the remainder when 2 is divided by g.
0
Let g(s) = 2*s + 8. What is the remainder when 51 is divided by g(9)?
25
Suppose 3*t - 57 = t + 3*l, 149 = 4*t + l. Suppose -k = 2*k - t. What is the remainder when k is divided by 4?
0
Let s = -162 + 180. Calculate the remainder when 70 is divided by s.
16
Suppose 0 = -0*c + 2*c - 32. Calculate the remainder when c is divided by 7.
2
Let i(l) = -14*l - 3. Let b be i(-2). Suppose 8*x = 3*x + b. Suppose -x*y - 2*r + 27 = -13, -r = 5*y - 40. Calculate the remainder when 22 is divided by y.
6
Suppose 5*z = -d + 23, -d - 5 - 12 = -5*z. Suppose -5*u + 124 = 4*m, -m + 31 = -z*u + u. Calculate the remainder when m is divided by 11.
9
Suppose -6*b = 2 - 62. What is the remainder when 70 is divided by (b/(-5))/(3/(-18))?
10
Let g(y) = 3*y**2 - y - 1. Let v be g(-1). Suppose -7*j + v*j = -28. Cal | {
"pile_set_name": "DM Mathematics"
} |
5
What is the y'th term of -1290, -1560, -1746, -1848, -1866, -1800?
42*y**2 - 396*y - 936
What is the u'th term of -66190, -66703, -67560, -68761, -70306?
-172*u**2 + 3*u - 66021
What is the s'th term of -317910, -317965, -318024, -318087, -318154?
-2*s**2 - 49*s - 317859
What is the z'th term of -7939, -7917, -7899, -7885?
-2*z**2 + 28*z - 7965
What is the g'th term of 247, 751, 1579, 2731, 4207?
162*g**2 + 18*g + 67
What is the q'th term of -11058, -11176, -11294, -11412, -11530, -11648?
-118*q - 10940
What is the a'th term of 23248, 7997, -17422, -53009, -98764?
-5084*a**2 + a + 28331
What is the a'th term of -650, -1729, -2942, -4289?
-67*a**2 - 878*a + 295
What is the y'th term of 509, 1033, 1977, 3347, 5149, 7389?
y**3 + 204*y**2 - 95*y + 399
What is the d'th term of -2237601, -4475224, -6712851, -8950482, -11188117, -13425756?
-2*d**2 - 2237617*d + 18
What is the q'th term of 35673, 71544, 107415, 143286, 179157?
35871*q - 198
What is the y'th term of 1049155, 4196624, 9442407, 16786504, 26228915, 37769640, 51408679?
1049157*y**2 - 2*y
What is the k'th term of 1392784, 2785516, 4178248, 5570980, 6963712?
1392732*k + 52
What is the c'th term of 9108, 14246, 19384, 24522, 29660, 34798?
5138*c + 3970
What is the i'th term of -11436093, -11436095, -11436099, -11436105, -11436113, -11436123, -11436135?
-i**2 + i - 11436093
What is the j'th term of 3853, 35158, 120131, 285604, 558409, 965378, 1533343, 2289136?
4472*j**3 + 2*j**2 - 5*j - 616
What is the s'th term of 3524601, 7049206, 10573811, 14098416, 17623021?
3524605*s - 4
What is the j'th term of -133308, -266704, -400108, -533526, -666964?
-j**3 + 2*j**2 - 133395*j + 86
What is the r'th term of 2299450767, 2299450762, 2299450755, 2299450746, 2299450735, 2299450722, 2299450707?
-r**2 - 2*r + 2299450770
What is the u'th term of 43295268, 86590519, 129885760, 173180985, 216476188?
-u**3 + u**2 + 43295255*u + 13
What is the n'th term of 6527, 6895, 7507, 8363?
122*n**2 + 2*n + 6403
What is the g'th term of -2078960, -4157913, -6236866?
-2078953*g - 7
What is the v'th term of -26338, -210639, -710888, -1685059, -3291126, -5687063, -9030844, -13480443?
-26329*v**3 + 2*v - 11
What is the i'th term of 1099336, 4397361, 9894068, 17589457?
1099341*i**2 + 2*i - 7
What is the w'th term of 79632, 79528, 79358, 79122, 78820, 78452, 78018?
-33*w**2 - 5*w + 79670
What is the q'th term of 422994514, 1691978064, 3806950648, 6767912266, 10574862918, 15227802604?
422994517*q**2 - q - 2
What is the d'th term of 226, -1659, -4790, -9161, -14766, -21599?
d**3 - 629*d**2 - 5*d + 859
What is the b'th term of 6086, 38111, 70136, 102161, 134186?
32025*b - 25939
What is the a'th term of -14352063, -28704122, -43056181, -57408240?
-14352059*a - 4
What is the i'th term of -66207169, -66207170, -66207171, -66207172?
-i - 66207168
What is the n'th term of 93282, 93291, 93300, 93309?
9*n + 93273
What is the w'th term of -43452, -347640, -1173288, -2781126, -5431884, -9386292, -14905080?
-43455*w**3 - 3*w + 6
What is the j'th term of 28228, 21282, 14336?
-6946*j + 35174
What is the w'th term of 6074213, 12148426, 18222639, 24296852?
6074213*w
What is the i'th term of -15980458, -31960913, -47941368, -63921823, -79902278, -95882733?
-15980455*i - 3
What is the y'th term of -1189945, -1189911, -1189877, -1189843, -1189809, -1189775?
34*y - 1189979
What is the r'th term of 37863629, 37863628, 37863627, 37863626, 37863625?
-r + 37863630
What is the t'th term of 257354, 257411, 257506, 257639, 257810?
19*t**2 + 257335
What is the m'th term of -19188, -38193, -56848, -74979, -92412, -108973?
29*m**3 + m**2 - 19211*m - 7
What is the u'th term of -12330, -12432, -12524, -12600, -12654, -12680, -12672?
u**3 - u**2 - 106*u - 12224
What is the i'th term of 96963, 193916, 290867, 387816, 484763, 581708?
-i**2 + 96956*i + 8
What is the m'th term of -4318205, -8636361, -12954515, -17272667, -21590817, -25908965, -30227111?
m**2 - 4318159*m - 47
What is the b'th term of -324496, -324535, -324574?
-39*b - 324457
What is the n'th term of -29847, -61706, -93567, -125430?
-n**2 - 31856*n + 2010
What is the n'th term of -217159, -217448, -217927, -218596, -219455?
-95*n**2 - 4*n - 217060
What is the j'th term of 33681, 67339, 100997, 134655, 168313?
33658*j + 23
What is the a'th term of -102723, -111511, -120299, -129087, -137875, -146663?
-8788*a - 93935
What is the h'th term of 8612, 34510, 77692, 138158, 215908, 310942, 423260?
8642*h**2 - 28*h - 2
What is the w'th term of -370501, -740648, -1110795, -1480942, -1851089, -2221236?
-370147*w - 354
What is the c'th term of 98253830, 98253831, 98253832, 98253833, 98253834, 98253835?
c + 98253829
What is the f'th term of -49260943, -49260956, -49260985, -49261036, -49261115, -49261228, -49261381, -49261580?
-f**3 - 2*f**2 - 49260940
What is the t'th term of -82, -292, -552, -838, -1126, -1392, -1612?
4*t**3 - 49*t**2 - 91*t + 54
What is the h'th term of 37599, 75273, 112953, 150639?
3*h**2 + 37665*h - 69
What is the u'th term of -81, -654, -2271, -5442, -10677?
-85*u**3 - 12*u**2 + 58*u - 42
What is the o'th term of 25012, 27263, 29514, 31765?
2251*o + 22761
What is the b'th term of -140, 34, 462, 1258, 2536, 4410, 6994?
19*b**3 + 13*b**2 + 2*b - 174
What is the w'th term of -15749, -62939, -141599, -251729, -393329, -566399, -770939?
-15735*w**2 + 15*w - 29
What is the a'th term of -4990815, -4990831, -4990847, -4990863, -4990879?
-16*a - 4990799
What is the r'th term of 31442, 123480, 276874, 491624, 767730?
30678*r**2 + 4*r + 760
What is the r'th term of 20475483, 20475481, 20475477, 20475471, 20475463, 20475453, 20475441?
-r**2 + r + 20475483
What is the p'th term of 37821, 37915, 38009, 38103, 38197, 38291?
94*p + 37727
What is the j'th term of -20198568, -20198574, -20198578, -20198580, -20198580, -20198578?
j**2 - 9*j - 20198560
What is the i'th term of -27186, -54281, -81376?
-27095*i - 91
What is the n'th term of 2529401, 5058813, 7588227, 10117643?
n**2 + 2529409*n - 9
What is the g'th term of -2806467, -2806718, -2806965, -2807208, -2807447, -2807682, -2807913?
2*g**2 - 257*g - 2806212
What is the c'th term of -9457, -38192, -86205, -153496, -240065?
-9639*c**2 + 182*c
What is the n'th term of -3050845, -6101685, -9152515, -12203335, -15254145, -18304945?
5*n**2 - 3050855*n + 5
What is the d'th term of 504843, 1009787, 1514733, 2019681, 2524631, 3029583, 3534537?
d**2 + 504941*d - 99
What is the i'th term of 177390538, 354781078, 532171618?
177390540*i - 2
What is the f'th term of -1704, -1265, -826, -387?
439*f - 2143
What is the i'th term of -14985347, -29970691, -44956035, -59941379, -74926723, -89912067?
-14985344*i - 3
What is the n'th term of 5957, 48220, 163009, 386588, 755221, 1305172?
6044*n**3 - n**2 - 42*n - 44
What is the r'th term of -203618, -407454, -611290, -815126, -1018962?
-203836*r + 218
What is the h'th term of -78, -284, -614, -1080, -1694, -2468?
-2*h**3 - 50*h**2 - 42*h + 16
What is the h'th term of -1054, 682, 5396, 14576, 29710?
248*h**3 + h**2 - 3*h - 1300
What is the y'th term of 801612, 1603214, 2404810, 3206400?
-3*y**2 + 801611*y + 4
What is the y'th term of -50347, -201407, -453147, -805543, -1258571, -1812207, -2466427, -3221207?
4*y**3 - 50364*y**2 + 4*y + 9
What is the x'th term of 48813, 97744, 146769, 195894, 245125, 294468, 343929, 393514?
x**3 + 41*x**2 + 48801*x - 30
What is the d'th term of 470795, 470723, 470651, 470579, 470507?
-72*d + 470867
What is the p'th term of -498607, -498601, -498595, -498589, -498583, -498577?
6*p - 498613
What is the i'th term of -228, -172, -26, 246, 680, 1312?
6*i**3 + 9*i**2 - 13*i - 230
What is the n'th term of -45714, -91296, -136878?
-45582*n - 132
What is the t'th term of 13768, 55013, 123726, 219883, 343460, 494433, 672778, 878471?
-4*t**3 + 13758*t**2 - t + 15
What is the l'th term of 21564, 43144, 64754, 86400, 108088, 129824, 151614, 173464?
l**3 + 9*l**2 + 21546*l + 8
What is the y'th term of 404171, 808344, 1212521, 1616702, 2020887?
2*y**2 + 404167*y + 2
What is the l'th term of -693, -972, -1285, -1620, -1965, -2308?
2*l**3 - 29*l**2 - 206*l - 460
What is the c'th term of 56685, 113354, 170005, 226638, 283253, 339850, 396429?
-9*c**2 + 56696*c - 2
What is the q'th term of -1255, -5629, -1292 | {
"pile_set_name": "DM Mathematics"
} |
termine r(-52).
1
Let u(y) = -y**2 - 30*y + 273. Calculate u(10).
-127
Let k(p) = -538*p - 2151. Calculate k(-4).
1
Let r(v) = -2*v**3 + 105*v**2 + 1041*v - 239. Determine r(61).
5
Let d(f) = 2*f**3 + 8*f**2 - 18*f + 6. What is d(-7)?
-162
Let k(n) = -n**3 + 60*n**2 - 320*n - 234. Calculate k(54).
-18
Let d(p) = p**3 + 4*p**2 + 15*p + 44. What is d(-3)?
8
Let b(d) = d**3 - 106*d**2 - 328*d + 97. Determine b(109).
-12
Let l(p) = 3*p**2 + 23*p + 9. What is l(-12)?
165
Let i(c) = c**3 - 4*c**2 - 4*c - 18. Determine i(-2).
-34
Let q(d) = -142*d + 14916. Determine q(105).
6
Let o(n) = -8*n - 815. What is o(-55)?
-375
Let z(q) = -q**3 + 56*q**2 + 169*q + 452. What is z(59)?
-20
Let y(w) = -1177*w + 24711. What is y(21)?
-6
Let k(d) = d**2 + 16*d - 908. Calculate k(-39).
-11
Let j(b) = 13*b - 286. Determine j(20).
-26
Let y(a) = -222*a + 6274. Calculate y(28).
58
Let c(n) = -n**3 + 28*n**2 + 59*n + 44. Determine c(30).
14
Let b(a) = -39*a + 669. Calculate b(18).
-33
Let i(b) = 132*b**2 - 6072*b - 15. What is i(46)?
-15
Let g(t) = -3*t**2 + 2*t + 98. What is g(4)?
58
Let p(r) = -20*r - 1532. Give p(-76).
-12
Let q(p) = -p**3 - 5*p**2 - 30*p - 104. What is q(-4)?
0
Let c(o) = -2*o**3 - 52*o**2 - 95*o + 10. What is c(-24)?
-14
Let t(c) = -10*c - 338. Determine t(-41).
72
Let z(a) = -a**3 + 22*a**2 + 73. Give z(22).
73
Let h(i) = -i**2 + 230*i - 3816. Calculate h(18).
0
Let z(a) = 46*a**2 + 1879*a - 286. Calculate z(-41).
1
Let r(o) = o**2 + 50*o + 169. What is r(-32)?
-407
Let v(j) = -77*j + 4. What is v(0)?
4
Let t(h) = 69*h**2 - 31669*h - 914. Calculate t(459).
4
Let x(q) = 2*q**3 - 156*q**2 - 657*q + 76. Determine x(82).
-6
Let d(i) = -i**3 + 9*i**2 + 26*i - 356. Give d(12).
-476
Let u(p) = -6031*p + 42204. Calculate u(7).
-13
Let t(g) = 3*g**3 + 2*g**2 - 6*g - 12. Determine t(-3).
-57
Let y(w) = -w**3 + 11*w**2 - 18*w - 123. Give y(9).
-123
Let m(l) = -l**3 + 25*l**2 - 9*l + 245. Give m(25).
20
Let p(o) = o**2 - 32*o - 25. Determine p(39).
248
Let d(w) = 19*w**2 + 1479*w - 229. What is d(-78)?
5
Let v(a) = 3*a**2 + 123*a + 242. Give v(-2).
8
Let c(k) = -14*k**2 + 94*k - 71. Determine c(6).
-11
Let y(u) = 7*u**3 - 15*u**2 - 37*u - 37. Determine y(-3).
-250
Let v(m) = -m**3 - 4*m**2 + 3*m + 7. What is v(3)?
-47
Let c(k) = k**2 + 185*k + 4874. What is c(-32)?
-22
Let c(f) = 3*f**2 - 28*f - 15. Give c(10).
5
Let u(p) = -80*p + 1837. Determine u(23).
-3
Let j(v) = -4*v**2 - 227*v + 452. Determine j(2).
-18
Let a(v) = 2*v**3 + 18*v**2 - 349*v - 1169. Determine a(-3).
-14
Let n(c) = -2*c**2 - 7*c - 1. Give n(0).
-1
Let h(n) = 828*n - 1600. Calculate h(2).
56
Let w(t) = -t**3 + 9*t**2 + 7*t + 1. What is w(-4)?
181
Let f(v) = -192*v + 1904. What is f(10)?
-16
Let u(f) = -f**3 + 17*f**2 - 44*f - 136. Give u(6).
-4
Let r(c) = -8*c - 99. What is r(-12)?
-3
Let t(n) = 3569*n + 10721. Calculate t(-3).
14
Let g(r) = -7*r + 117. Calculate g(6).
75
Let f(z) = 3*z**3 - 10*z**2 + 6*z + 6. Give f(6).
330
Let z(b) = 2*b**3 - 17*b**2 - 6*b + 73. What is z(8)?
-39
Let b(k) = k**2 - 2*k - 174. Determine b(15).
21
Let v(u) = -67*u - 1552. Determine v(-23).
-11
Let w(d) = -d**3 - d**2 - 21*d - 89. What is w(-3)?
-8
Let l(t) = -t**3 - 8*t**2 + 12*t + 4. Calculate l(-9).
-23
Let o(y) = -2*y**3 + 35*y**2 + 19*y - 60. Determine o(18).
-42
Let o(q) = -95*q**2 - 191*q + 3. Determine o(-2).
5
Let c(d) = -8*d**2 + 195*d - 556. What is c(21)?
11
Let h(b) = -b**3 + 20*b**2 + 110*b - 142. Give h(24).
194
Let b(n) = 287*n - 2726. Calculate b(10).
144
Let x(p) = p**3 - 9*p**2 + 21*p - 31. Give x(8).
73
Let l(x) = -7*x**3 - 314*x**2 + 44*x + 37. Give l(-45).
82
Let z(w) = w**3 + 55*w**2 - 107*w - 2849. Determine z(-56).
7
Let w(p) = -167*p + 6681. Calculate w(40).
1
Let p(r) = 11*r - 120. What is p(12)?
12
Let l(s) = -s**2 + 22*s + 183. Determine l(-7).
-20
Let b(p) = p**3 + 15*p**2 - 6*p + 15. Calculate b(-15).
105
Let p(r) = -3*r**2 + 12*r - 41. Calculate p(5).
-56
Let z(t) = 113*t**2 + 12543*t - 5. What is z(-111)?
-5
Let k(z) = -51*z - 1. Give k(1).
-52
Let w(l) = -4*l**3 + 127*l**2 + 11*l + 653. What is w(32)?
-19
Let u(n) = n**3 + 5*n**2 + 2228*n + 11177. Determine u(-5).
37
Let z(r) = 9*r**3 - 2*r**2 - 11*r + 11. Calculate z(1).
7
Let v(m) = 90*m + 726. Calculate v(-7).
96
Let v(h) = -h**3 + 33*h**2 - 62*h + 119. What is v(31)?
119
Let z(o) = 315*o + 4413. What is z(-14)?
3
Let z(a) = -a**3 + 42*a**2 - 41*a + 5668. What is z(44)?
-8
Let g(w) = -1567*w + 6270. Calculate g(4).
2
Let a(k) = 14*k - 55. Give a(9).
71
Let y(z) = z**3 - 89*z**2 - 378*z + 617. Determine y(93).
59
Let a(m) = 8*m**2 + 15*m + 43. Calculate a(-4).
111
Let n(a) = -12*a**2 - 80*a + 9. What is n(-4)?
137
Let m(t) = 51*t**2 + 31*t + 1. What is m(-1)?
21
Let a(c) = -67*c - 3810. Give a(-57).
9
Let f(q) = 302*q - 4264. Calculate f(14).
-36
Let o(m) = -200*m - 19402. What is o(-97)?
-2
Let b(w) = -w**3 + 9*w**2 - 82*w + 225. What is b(3)?
33
Let i(d) = -8*d**2 + 975*d - 845. Determine i(121).
2
Let p(w) = -w**3 - 22*w**2 + 30*w + 141. Determine p(-23).
-20
Let f(t) = -t**3 - 4*t**2 + 72*t + 234. Determine f(-9).
-9
Let p(u) = -u**3 - u**2 + 28*u + 89. Give p(-4).
25
Let v(f) = f - 7. Determine v(-16).
-23
Let p(i) = i**3 + 30*i**2 - 250*i + 1. Give p(-37).
-332
Let w(o) = 403*o + 98. Calculate w(-1).
-305
Let l(w) = -2*w**3 - 75*w**2 - 33*w + 154. Calculate l(-37).
6
Let m(p) = 211*p - 632. Give m(3).
1
Let w(n) = n**3 - 16*n**2 + 41*n - 23. Give w(13).
3
Let i(n) = -553*n + 6704. Give i(12).
68
Let q(b) = -118*b**2 - 68*b - 1. What is q(1)?
-187
Let r(i) = -275*i - 1967. What is r(-7)?
-42
Let d(j) = -2*j**3 - 20*j**2 - j + 2. Determine d(-10).
12
Let n(y) = -8*y + 136. Give n(11).
48
Let i(v) = 289*v - 2294. Determine i(8).
18
Let a(g) = 4*g**3 + 85*g**2 + 23*g + 36. Calculate a(-21).
-6
Let f(j) = -3*j**2 - 2*j + 164. What is f(7)?
3
Let j(m) = -2*m**2 + 16*m + 52. Calculate j(-5).
-78
Let q(a) = 3*a**2 - 89*a - 231. Determine q(32).
-7
Let g(m) = 8*m**2 + 77*m + 150. Give g(-2).
28
Let f(w) = -9*w**3 - 73*w**2 + 167*w + 1414. Determine f(-8).
14
Let l(w) = -873*w + 11349. Give l(13).
0
Let w(g) = -g**3 - 29*g**2 - 137*g + 200. Determine w(-23).
177
Let m(j) = 350*j + 114. What is m(1)?
464
Let i(a) = a**2 - 16*a + 57. Determine i(13).
18
Let n(c) = 2956*c + 17758. Calculate n(-6).
22
Let j(c) = 5*c**2 - 6*c - 221. Determine j(-6).
-5
Let d(r) = -68*r - 28. Give d(-13).
856
Let k(a) = 84*a + 2939. What is k(-35)?
-1
Let l(m) = -49*m + 1592. Determine l(37).
-221
Let b(i) = -i**3 + 9*i**2 - 22*i + 179. Calculate b(8).
67
Let g(n) = -179*n + 994. Give g(8).
-438
Let k(l) = -18*l + 176. What is k(16)?
-112
Let a(r) = r**3 + 5*r**2 - 27*r - 29. Calculate a(7).
370
Let t(m) = m**3 + 77*m**2 + 557*m + 45. Give t(-8).
5
Let k(i) = 8*i**2 + 320*i + 54. What is k(-40)?
54
Let i(n) = -40*n - 659. Give i(-16).
-19
Let i(a) = a**3 + 151*a**2 + 302*a + 595. Determine i(-149).
-1
Let r(k) = 119*k + 11422. Give r(-96).
-2
Let b(s) = -3*s**2 - 3*s + 23. Calculate b(4).
-37
Let u(c) = -3*c + 63. What is u(14)?
21
Let k(x) = x**3 + 107*x**2 - 4*x - 348. Calculate k(-107).
80
Let v(t) = -115*t**3 - 11*t**2 + t + 3. Give v(1).
-122
Let z(y) = 5*y - 105. Give z(18).
-15
Let o(c) = 206*c - 31715. Determine o(154).
9
Let w(r) = -2*r**3 - 4*r**2 - 28*r - 184. Calculate w(-5).
106
Let s(x) = x**2 - 368*x + 733. What is s(2)?
1
Let k(o) = 3324*o - 26574. What is k(8)?
18
Let g(p) = -3*p**2 - 45*p - 51. Give g(-18).
-213
Let u(m) = -m**2 + 5229*m + 31415. What is u(-6)?
5
Let k(c) = c**2 - 174*c - 2654. Calculate k(-14).
-22
Let l(n) = -n**2 - 54*n - 698. Determine l(-26).
30
Let d(n) = 2*n**3 + 13*n**2 + 7*n - 56. Determine d(-4).
-4
Let n(a) = -2*a**3 - 102*a + 84. Give n(0).
84
Let t(r) = 512*r - 5120. Determine t(10).
0
Let z(w) = 40*w + 296. Give z(-8).
-24
Let v(w) = 3*w**3 - 6*w**2 + 69*w - 262. Give v(4).
110
Let h(x) = 4*x**2 - 229*x + 1158. Calculate h(52).
66
Let v(f) = -f + 117. Calculate v(33).
84
Let k(v) = -v**3 - 13*v**2 + 10*v + 428. What is k(-8)?
28
Let a(f) = f**3 + 7*f**2 + 10*f. Give a(-4).
8
Let g(z) = z**3 - 46*z**2 - 258*z + 69. Determine g(51).
-84
Let c(w) = -w**2 + 51*w - 567. Determine c(42).
-189
Let l(x) = 2*x**3 + 83*x**2 + 42*x - 34. Calculate l(-41).
-75
Let a(d) = -227*d + 4654. Give a(21).
-113
Let s | {
"pile_set_name": "DM Mathematics"
} |
wo letters picked without replacement from uottkkoukk. Give prob of picking 2 u.
1/45
Calculate prob of picking 1 k, 1 t, and 1 e when three letters picked without replacement from {t: 7, k: 3, e: 2}.
21/110
Calculate prob of picking 1 c and 1 m when two letters picked without replacement from cmccj.
3/10
Two letters picked without replacement from rrr. What is prob of picking 2 r?
1
Three letters picked without replacement from frrfffffrf. Give prob of picking 2 r and 1 f.
7/40
Four letters picked without replacement from ahmmhaha. Give prob of picking 1 a and 3 h.
3/70
Calculate prob of picking 2 k and 1 a when three letters picked without replacement from zvzzatzzzkztkzkmzz.
1/272
Calculate prob of picking 4 k when four letters picked without replacement from {q: 2, k: 6, l: 9}.
3/476
Two letters picked without replacement from tlllxeexexee. Give prob of picking 2 l.
1/22
Four letters picked without replacement from {z: 2, s: 2, b: 2, x: 1, j: 3, f: 2}. What is prob of picking 1 z, 1 x, and 2 j?
2/165
Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jxxjjjjjjj.
16/45
Two letters picked without replacement from fkkffkoffk. Give prob of picking 2 k.
2/15
What is prob of picking 1 q and 1 o when two letters picked without replacement from oqvvvqoooovvovooo?
9/68
Three letters picked without replacement from {b: 2, n: 2, x: 1, v: 7, q: 1, i: 2}. Give prob of picking 1 q and 2 i.
1/455
Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, n: 3}.
7/15
Four letters picked without replacement from cujbbbsuucjccsbbbbub. Give prob of picking 1 j, 2 s, and 1 c.
8/4845
Calculate prob of picking 2 m when two letters picked without replacement from {s: 4, m: 8, y: 1}.
14/39
Calculate prob of picking 2 s and 2 e when four letters picked without replacement from {g: 5, l: 4, u: 1, r: 4, s: 1, e: 3}.
0
Four letters picked without replacement from eymxmyleeylxeee. Give prob of picking 1 y, 1 m, and 2 x.
2/455
Two letters picked without replacement from {d: 1, v: 3}. What is prob of picking 1 v and 1 d?
1/2
Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {q: 1, c: 2, h: 2, j: 1, a: 2}.
1/14
What is prob of picking 1 g, 2 z, and 1 c when four letters picked without replacement from {d: 2, g: 1, o: 2, z: 2, c: 1}?
1/70
Calculate prob of picking 2 l when two letters picked without replacement from gbtgellggelg.
1/22
Four letters picked without replacement from {h: 15, x: 4}. Give prob of picking 4 h.
455/1292
Calculate prob of picking 3 o when three letters picked without replacement from {b: 3, e: 9, o: 4, r: 2}.
1/204
What is prob of picking 4 k when four letters picked without replacement from kkpkpwkwwppppwpp?
1/1820
Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {q: 4, k: 1, y: 3, e: 12}.
3/190
Four letters picked without replacement from kkaowo. What is prob of picking 1 o and 3 w?
0
Two letters picked without replacement from llslsslllsssl. Give prob of picking 2 l.
7/26
Two letters picked without replacement from {k: 1, h: 1, p: 1, y: 1, w: 2, o: 1}. Give prob of picking 1 o and 1 w.
2/21
Two letters picked without replacement from {u: 1, a: 3}. Give prob of picking 2 a.
1/2
Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, s: 2, l: 1, a: 1}.
5/18
Three letters picked without replacement from nnnnnnnbbnnbnn. What is prob of picking 3 b?
1/364
Four letters picked without replacement from vvtcictvv. What is prob of picking 1 v, 2 c, and 1 i?
2/63
Two letters picked without replacement from {x: 3, q: 9}. What is prob of picking 1 x and 1 q?
9/22
Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {y: 2, v: 1}.
2/3
Calculate prob of picking 2 a when two letters picked without replacement from {a: 7}.
1
What is prob of picking 1 h, 1 t, and 1 d when three letters picked without replacement from mtmmtddhmdtmdtmddt?
5/136
Calculate prob of picking 1 i, 1 r, 1 d, and 1 o when four letters picked without replacement from {d: 7, r: 3, o: 3, i: 4, e: 3}.
84/1615
Two letters picked without replacement from amttvmaqvtavqqamva. What is prob of picking 1 a and 1 t?
5/51
Three letters picked without replacement from {c: 3, k: 2, t: 3}. Give prob of picking 1 c and 2 t.
9/56
Two letters picked without replacement from lqzlelzmlllzl. Give prob of picking 2 z.
1/26
Two letters picked without replacement from {e: 1, c: 2, p: 6, f: 1, t: 3}. What is prob of picking 1 f and 1 e?
1/78
Three letters picked without replacement from alxtlxaaattlakaaatt. Give prob of picking 1 t, 1 k, and 1 l.
5/323
What is prob of picking 1 n and 1 b when two letters picked without replacement from pwnawabaab?
2/45
Three letters picked without replacement from uuududduduuuuu. What is prob of picking 2 d and 1 u?
15/91
What is prob of picking 1 j, 1 i, and 1 c when three letters picked without replacement from nkuukkkkkjkcnikkjk?
1/408
What is prob of picking 3 f and 1 y when four letters picked without replacement from flfllflfllffxybxlll?
5/969
Three letters picked without replacement from {v: 2, a: 1, e: 1, u: 2, r: 1, q: 1}. What is prob of picking 1 e, 1 v, and 1 a?
1/28
What is prob of picking 1 s and 1 n when two letters picked without replacement from {m: 1, z: 1, s: 1, n: 1, c: 1, x: 2}?
1/21
Four letters picked without replacement from ymhlrlrherrleyreylry. Give prob of picking 1 r, 1 e, and 2 l.
36/1615
Calculate prob of picking 2 t when two letters picked without replacement from {f: 3, t: 3, c: 13, m: 1}.
3/190
Two letters picked without replacement from {l: 1, u: 4, d: 4, n: 1}. What is prob of picking 1 u and 1 n?
4/45
What is prob of picking 1 i and 1 t when two letters picked without replacement from {l: 4, q: 2, i: 1, r: 1, t: 3}?
3/55
Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {x: 8, s: 3, i: 4, g: 2}.
3/68
What is prob of picking 3 j when three letters picked without replacement from {j: 4}?
1
Two letters picked without replacement from zzyclccccycccycc. What is prob of picking 1 y and 1 l?
1/40
Two letters picked without replacement from {a: 1, v: 1, o: 1, r: 1, g: 1}. What is prob of picking 1 v and 1 r?
1/10
What is prob of picking 2 a and 2 q when four letters picked without replacement from aaqaaaqaa?
1/6
What is prob of picking 2 t, 1 j, and 1 z when four letters picked without replacement from {u: 2, x: 4, j: 1, z: 1, t: 2}?
1/210
Three letters picked without replacement from {g: 2, z: 1, a: 1}. Give prob of picking 1 a and 2 g.
1/4
Three letters picked without replacement from aquuumquuhmm. Give prob of picking 1 m and 2 u.
3/22
Two letters picked without replacement from gggggkkggggkgggg. What is prob of picking 2 k?
1/40
Two letters picked without replacement from avyssssssasjll. Give prob of picking 1 s and 1 j.
1/13
Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {h: 1, x: 1, z: 1, n: 1, j: 5}.
1/36
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {a: 4, e: 7}.
28/55
Four letters picked without replacement from wwwaawwwaww. Give prob of picking 3 w and 1 a.
28/55
Four letters picked without replacement from cvvvvc. Give prob of picking 2 c and 2 v.
2/5
Calculate prob of picking 3 j and 1 p when four letters picked without replacement from {p: 3, x: 3, j: 5}.
1/11
What is prob of picking 1 k and 1 l when two letters picked without replacement from lkklllllvlv?
14/55
Two letters picked without replacement from mwmmw. Give prob of picking 2 w.
1/10
Three letters picked without replacement from {x: 3, d: 2, j: 4, o: 2, l: 1}. What is prob of picking 3 x?
1/220
Two letters picked without replacement from qgrpzgqgggznngggqgnr. Give prob of picking 1 p and 1 z.
1/95
Calculate prob of picking 3 g when three letters picked without replacement from ggrgggrgggggggggrrg.
455/969
What is prob of picking 1 i, 1 t, and 1 r when three letters picked without replacement from {h: 4, t: 2, w: 1, q: 3, r: 2, i: 3}?
12/455
Calculate prob of picking 1 e and 2 v when three letters picked without replacement from vvveevvvvv.
7/15
Four letters picked | {
"pile_set_name": "DM Mathematics"
} |
= 4*i + 86. Let v(f) = a(f) + 7*h(f). Give k*t(u) + 14*v(u).
-2*u - 2
Let j(h) = -h**3 + 4*h**2 - 5. Suppose -23 - 2 = -5*p. Suppose l + g = -p, -25 - 6 = 3*l - 5*g. Let b(c) = 2*c**3 - 7*c**2 + 9. Calculate l*j(t) - 4*b(t).
-t**3 - 1
Let r(c) = 5*c - 20. Let n(t) = 4*t - 19. What is 3*n(q) - 2*r(q)?
2*q - 17
Let l(m) = 10*m**2 + 3*m - 3. Let u(o) be the second derivative of -63*o**4/4 - 28*o**3/3 + 28*o**2 + o + 46. Give 56*l(y) + 3*u(y).
-7*y**2
Let t(x) = x**3 + x**2 + x + 1. Let u(n) = 4*n**3 + 5*n**2 + 6 + 10*n - 5*n + 0*n**3 + 2 - 3. Calculate 10*t(g) - 2*u(g).
2*g**3
Let t(n) = -52*n**2 + 3*n - 3. Let g(q) = 364*q**2 - 20*q + 20. Determine -3*g(b) - 20*t(b).
-52*b**2
Suppose -55*h + 38*h = 85. Let n(d) = d**3 + 21*d + 5. Let b(a) = -2*a**3 - 32*a - 8. What is h*b(l) - 8*n(l)?
2*l**3 - 8*l
Let l = -5 - -8. Let c(q) = 14*q + 1. Let w(u) = -18*u. Let a(m) = 3*c(m) + 2*w(m). Let b(k) = 2*k + 1. What is l*a(s) - 8*b(s)?
2*s + 1
Let n(d) = 7*d - 245. Let l(g) = -20*g + 733. What is 6*l(p) + 17*n(p)?
-p + 233
Let z(j) = 12*j**3 + 9*j**2 + 10*j - 4. Let c(n) = -6*n**3 - 5*n**2 - 6*n + 2. Determine 7*c(r) + 4*z(r).
6*r**3 + r**2 - 2*r - 2
Let n(z) = -10*z**2 + 2*z - 2. Let k(x) be the second derivative of -3*x**4/4 + x**3/3 - x**2 - 48*x. Give 6*k(o) - 5*n(o).
-4*o**2 + 2*o - 2
Let w(p) be the third derivative of -p**4/12 - p**3/6 + 26*p**2. Suppose 3*u - 3*a = 6, 0*a = -2*u - 5*a + 18. Let v(b) = 3*b + 2. Calculate u*v(m) + 7*w(m).
-2*m + 1
Let w(s) = 2*s**2 - 35*s + 23. Let i be w(17). Let o(h) = -h - 1. Let c(r) = 9*r + 2. Give i*o(g) + c(g).
3*g - 4
Let p be (-3)/((-1 + 2)*1). Let n = -16 - -12. Let y be (2 - n)/p + 6. Let r(u) = 2*u - 1. Let o(d) = 3*d - 2. Give y*o(k) - 7*r(k).
-2*k - 1
Let t(p) = -3*p - 1. Let a(q) = -q**2 + 12*q + 14. Calculate -a(u) - 5*t(u).
u**2 + 3*u - 9
Let k(w) = -36*w**2 - w + 1. Let g(s) = s**2 + s + 1. Give -2*g(q) + k(q).
-38*q**2 - 3*q - 1
Let o(y) = 2*y**3 + y**2 + 3*y. Let r = 33 - 34. Let a be r*(-4 - -2) - -7. Let d(h) = 8*h**3 + 4*h**2 + 13*h. What is a*o(k) - 2*d(k)?
2*k**3 + k**2 + k
Let w(p) = -21*p**2 + 107*p + 4. Let g(h) = -4*h**2 + 21*h + 1. Give -11*g(z) + 2*w(z).
2*z**2 - 17*z - 3
Let a(s) = -876*s + 5. Let r(w) = 439*w - 3. Calculate 3*a(n) + 5*r(n).
-433*n
Let v(y) = -12*y**3 - 5*y**2 - 5*y - 5. Let q be ((-3)/(-6))/((-31)/3038). Let l(m) = 119*m**3 + 49*m**2 + 49*m + 49. What is q*v(x) - 5*l(x)?
-7*x**3
Let b(z) = z**2 + 11. Suppose -11 = 4*u - 30*g + 29*g, -17 = 4*u - 3*g. Let f(w) = 3*w**2 + 23. Give u*f(r) + 5*b(r).
-r**2 + 9
Let y(w) = -75*w**3 - 2*w**2 - 4. Let d(l) = 76*l**3 + 2*l**2 + 6. Give -2*d(s) - 3*y(s).
73*s**3 + 2*s**2
Let g(w) = -5*w**2 + 2*w + 2. Let o(q) = -q**2 - 5. Let t(b) = -4*b**2 - 2*b - 42. Let p(d) = 8*o(d) - t(d). Suppose -3*h - 15 = 2*h. Give h*p(m) + 2*g(m).
2*m**2 - 2*m - 2
Suppose 17*z - 18*z = 1. Let y(q) = -q - 1. Let r(f) = f + 1. Determine z*r(i) - 3*y(i).
2*i + 2
Let u(f) = -8*f**2 + 72642*f**3 + f**2 - 72635*f**3 + 5*f + 6. Suppose 3*p = -2 + 5. Let c(h) = h**3 - h**2 + h + 1. What is p*u(m) - 5*c(m)?
2*m**3 - 2*m**2 + 1
Let l(t) = -t**2 + 3*t + 51. Let u be l(-5). Let j(n) = -n**2 + 8*n - 2. Let k(v) = 2*v**2 - 15*v + 3. What is u*j(x) + 6*k(x)?
x**2 - 2*x - 4
Let o(s) = -62*s**3 - 13*s**2 + 15*s + 46. Let t(q) = -31*q**3 - 6*q**2 + 7*q + 22. Calculate -6*o(j) + 13*t(j).
-31*j**3 + j + 10
Let r(x) be the first derivative of x**3/3 - 5*x**2 - 12*x - 18. Let v(a) = -3*a - 4. What is -2*r(j) + 7*v(j)?
-2*j**2 - j - 4
Let w(j) = 6*j. Let s(k) = k + 4*k + 23*k**2 + 20*k**2 - 42*k**2. Determine 6*s(z) - 5*w(z).
6*z**2
Let d(o) = -16*o**2 + 4*o - 1. Let w(v) = 31*v**2 - 7*v + 2. Determine -5*d(k) - 3*w(k).
-13*k**2 + k - 1
Let f(t) = 7*t**2 + 8*t + 46. Let g(n) = 8*n**2 + 9*n + 45. Calculate 6*f(s) - 5*g(s).
2*s**2 + 3*s + 51
Suppose -99 = -5*h - 19. Let w = 111 - 98. Let q(s) = 335*s**2 + w*s - 8*s - 337*s**2 - 5. Let o(k) = -6*k**2 + 16*k - 16. Calculate h*q(f) - 5*o(f).
-2*f**2
Let t(c) = c**2 - 11*c + 11. Let y be (-2 - -11) + 20/(-10). Let n(g) = g**2 - 6*g + 6. Give y*n(u) - 4*t(u).
3*u**2 + 2*u - 2
Let c(m) = 4*m - 3. Let t(n) = -39 + 15 - 3*n + 26. Let o(w) = w**3 - 3*w**2 - w. Let b be o(3). Determine b*t(i) - 2*c(i).
i
Let r(m) = -11*m + 91. Let u(n) = 90*n - 729. Give 33*r(b) + 4*u(b).
-3*b + 87
Let n(y) = -y**3 - y**2 - 1. Let d(m) = -2*m**3 - 3*m**2 + m - 3. Let u be (6/(-24))/((-2)/(-24)). Determine u*n(b) + d(b).
b**3 + b
Let i(w) = 5*w**3 + w**2 + 2*w + 1. Let p(v) = -22*v**3 - 4*v**2 - 7*v - 5. Let d(q) = -9*i(q) - 2*p(q). Let s(m) = m - 1. Determine d(g) + 4*s(g).
-g**3 - g**2 - 3
Let c(b) = -b**2 - 1. Suppose -s = -2*z - 6 - 2, -4*s + 17 = -3*z. Let f(y) = 0*y - 5 + 2*y**2 + 0*y**2 - 6*y**2 - s*y. Determine -3*c(r) + f(r).
-r**2 - 2*r - 2
Let v(s) = -2*s + 51. Let f(z) = -3. Give 4*f(u) - v(u).
2*u - 63
Let g(m) = 5*m - 17. Let u(p) = -8*p + 6. Let d(t) = -23*t + 18. Let x(o) = 6*d(o) - 17*u(o). Calculate 3*g(r) + 8*x(r).
-r - 3
Let s(c) = -c**2 - 2*c. Let d(j) = -7*j**2 - 20*j + 5. Let r(x) = d(x) - 6*s(x). Let g(f) = -f + 1. What is -5*g(k) + r(k)?
-k**2 - 3*k
Let p(b) = -9*b. Let w be (-1)/(-1*2/34). Suppose -3*a = -5*k + 22, -3*a - a = 5*k + 6. Let h(u) = -k*u - u + 4 - 4. Determine w*h(d) - 6*p(d).
3*d
Let f(v) = v + 32. Let d(p) = 5*p + 136. Let m(z) = 2*d(z) - 9*f(z). Let g(b) = -b + 17. What is 4*g(i) + 5*m(i)?
i - 12
Suppose -5*k = -2*v + 27, 18 = -4*k - 2. Let g(r) = -v + 2 - 2*r + 3*r. Let a(h) = h**2 + 2*h + 3. Suppose 0*u - 3*u = 3. Determine u*a(x) + 3*g(x).
-x**2 + x
Let q = -86 + 92. Let y(m) = -2*m**2 + m + 10*m**2 - 5*m**2 - 7. Let k(s) = -4*s**2 - s + 8. What is q*y(t) + 5*k(t)?
-2*t**2 + t - 2
Let d(p) = 1 - 2*p**2 - p**2 - 2*p + 3*p + 4*p**2. Let u = 184 - 182. Let j(c) = c**2 + 3*c. Determine u*d(l) - j(l).
l**2 - l + 2
Let d(b) = -9*b**3 - 36. Let a(n) = -13*n**3 - 55. Calculate 5*a(k) - 8*d(k).
7*k**3 + 13
Let c(r) = r. Let n(m) = -1676*m - 3 - 1675*m + 3344*m. Suppose 4*w + 19 = -3*o, w + 10 = -2*o - w. Give o*n(b) - 5*c(b).
2*b + 3
Let z(u) = -u**3 + u**2 - u. Let y = 6 - 1. Let j = y + -2. Suppose v = -j*v + 4. Let d(t) = 5*t**3 - 3*t**2 + 5*t - 1. Calculate v*d(g) + 3*z(g).
2*g**3 + 2*g - 1
Let i(b) = 3*b + 47. Let o(r) = -1. What is i(y) + 3*o(y)?
3*y + 44
Let o(v) = -9*v. Let r = -20 + 11. Let t(c) = -10*c + 0*c + 0*c - 9*c + 0*c. Determine r*o(u) + 4*t(u).
5*u
Let u(k) be the third derivative of 0*k + 3/8*k**4 + 0 - 3/2*k**3 + 2*k**2. Let s(l) = -4*l + 4. Calculate -7*s(a) - 3*u(a).
a - 1
Let y(j) be the third derivative of 77*j**5/30 - 72*j**2. Let b(s) = 17*s**2. What is 55*b(h) - 6*y(h)?
11*h**2
Let x = 28 - 13. Let h = -14 + x. Let g(m) = m**2 - m - 1. Let s(z) = -z**3 - z**2 - 2*z + 1. Give h*s(n) + g(n).
-n**3 - 3*n
Suppose o + 2*o = 6. Let v(r) = r**2 + 3*r + 2. Let a(w) be the first derivative of 5*w**3/3 + 8*w**2 + 11*w + 99. Give o*a(k) - 11*v(k).
-k**2 - k
Let j(q) = q - 5. Let f(k) = -330*k + 32. Give f(w) + 6*j(w).
-324*w + 2
Let a(h) be the third derivative of h**5/30 - h**4/8 - h**3/2 - 113*h**2. Let g(q) = 3*q**2 - 3*q - 4. Give 5*a(n) - 4*g(n).
-2*n**2 - 3*n + 1
Let z(o) = -5*o**2 - 10*o + 23. Let m(q) = -q**2 - q + 2. Give 18*m(s) - 2*z(s).
-8*s**2 + 2*s - 10
Let q(v) = -v**3 + 3*v**2 + v + 1. Let d(l) = 2*l**2 + l - 6. Let s(c) = -d(c) - 3*q(c). Let z(t) = 5*t**3 - 21*t**2 - 7*t + 5. Calculate -7*s(b) + 4*z(b).
-b**3 - 7*b**2 - 1
Let d(n) = n + 3. Suppose l = 3*j + 35, -39 = -4*l + 5*j + 108. Let i = l - 33. Suppose -11 = i*q - z, 0 = -0*z + 4*z + 16. Let a(k) = -2. Give q*a(h) - 2*d(h).
-2*h
Let q(f) = 3*f - 2. Suppose -o = 5*g - 86, 0 = -2*g - 5*o + 4 + 12. Suppose 39 = g*a + 3. Let c(l) = -12*l + 9. Determine a*c(s) + 9*q(s).
3*s
Let y(l) = 57*l. Let w(o) = -2790*o. Determine 4*w(k) + 198*y(k).
126*k
Let w(n) = -21*n**3 - 12*n**2 + 25*n + 13. Let q(p) = 5*p**3 + 3*p**2 - 6*p - 3. Calculate 9*q(j) + 2*w(j).
3*j**3 + 3*j**2 - 4*j - 1
Let k(x) = 4*x**2 + x - 1. Let d be k(1). Let a(r) = 3 + 6*r**3 + 2 + 1 + r**2 + 0*r**2 + d*r. Let q(y) = -y**3 - y - 1. Determine -a(j) - 4*q(j).
-2*j**3 - j**2 - 2
Let s = 514 - 520. Let l(b) = 4*b + 2. Let u(j) = -j + 1. Let q(t) = -16*t - 10. Let x(p) = q(p) + u(p). Give s*x(g) - 26*l(g).
-2*g + 2
Let y(t) = -338*t**2 + 5*t + 4. Let m(c) = 508*c**2 - 8*c | {
"pile_set_name": "DM Mathematics"
} |
12 - 7*h**3/6 + h**2/2 - 3*h. Let s be g(7). Which is greater: 0 or s?
s
Let q = 0.35 - 0.15. Let a = q + 0.8. Is a greater than -1?
True
Let t = 1137 + -1039. Which is greater: t or 100?
100
Let p be (76/(-8) - 8)*2. Which is smaller: p or -246/7?
-246/7
Let y = -1/218 - -1101/2398. Suppose 0 = -9*c + 13*c + 4. Let g be 2 + 2 + -2 + c. Is g at least y?
True
Let g = 766/7 - 4033/35. Suppose -2*i + j = 2*i - 46, 3*j = 2*i - 28. Suppose -4*y - i - 9 = 0, -2*h + 2*y = 0. Do g and h have the same value?
False
Let j be (-623)/(-49) - 14/(-49). Is 7 at most j?
True
Let f be (0 + 1972/(-652) - -3)/(-2). Is f greater than 0?
True
Suppose 3*d + 308 = -4*d. Let o be -4 - 21*8/d. Let k(a) = -a**2 - 3*a + 1. Let c be k(-3). Does o = c?
False
Let r be (-2 + (-34)/(-18))/(28/56). Suppose 0 = p + 3*c - 4, -5*p - c = -3*c - 3. Which is greater: r or p?
p
Let p(a) = 4*a - 24. Let m be p(7). Suppose -3*b = 4*c + 15, 5*c - m*b = -5 + 25. Which is greater: c or -1/107?
c
Let j = 250/351 - 19/26. Suppose 0 = -5*b + g + 5, -2*b - 4*g = 29 - 31. Which is bigger: j or b?
b
Let z = 380 - 370. Which is bigger: z or 8?
z
Let x be (-7)/(42/6)*2. Suppose 5*f = 3*y - 34, -5*y = -f + 3*f - 36. Is x > y?
False
Let o = -0.6 + -2. Let h = 2.6 + o. Let i = 0 + 4. Do i and h have different values?
True
Let f = -2 + 3. Suppose -6*l = -l + 105. Let c be l/(-35) + (-16)/30. Which is smaller: c or f?
c
Let v = -234.8 + 168. Is v greater than 1?
False
Let i be 2 - (16/40 + 83/30). Let o = -9 + 13. Suppose o*b = 1 - 5. Which is smaller: i or b?
i
Suppose 0 = 3*t + 9, 2*m = t + 4 + 5. Suppose 5*u - 8 = -m*z + 24, -4*z + 4*u = 0. Which is smaller: -0.06 or z?
-0.06
Suppose -4*b + 0*y - 3*y = 0, 2*y = 5*b - 23. Is b at most as big as -12?
False
Let k = 1314 - 1314. Which is greater: k or -2.66?
k
Let a(z) = -5*z + 30. Let o be a(9). Let x be (-6)/o + (-29)/110. Is x > 1?
False
Let z = 327 - 345. Which is bigger: z or -16?
-16
Let b = 16 + -22. Let x = -118 + 338/3. Which is greater: x or b?
x
Let d(p) = -32*p + 46 + 79*p - 37*p. Let c be d(-6). Let a = 11 - 31/3. Is c >= a?
False
Let u(l) = l**3 + 10*l**2 + 15*l - 3. Let s be u(-8). Suppose 75 = -s*i + 30. Is -10 smaller than i?
True
Let f = -38955691990/4209 + 9255332. Let x = f + -2/69. Is x bigger than 0?
True
Let k be (-1)/4 + ((-29)/(-4) - -2). Let z = 29 + -19. Is k greater than or equal to z?
False
Let d be (-238)/(-4) + (15/6)/5. Let s be d/(-455) - (-8)/(-52). Let i(f) = -f**3 + 4*f**2 + f - 5. Let w be i(4). Which is smaller: w or s?
w
Let t(i) = i**3 + 13*i**2 - 32*i - 30. Let j be t(-15). Which is bigger: 4/375 or j?
4/375
Let a be (-128)/(-13) - 5/(455/(-14)). Is 14 bigger than a?
True
Suppose 1083 = 6*q + 45. Which is smaller: 174 or q?
q
Let f be -1*(1 - 2)*0. Suppose 0 = -2*o + 5*i, -5*o + 2 - 64 = 3*i. Let n(m) = m**2 + 10*m - 1. Let a be n(o). Are a and f equal?
False
Suppose 3*l + 131 + 6 = 4*a, 5*a - l - 185 = 0. Let y = a + -39. Are y and -14/13 non-equal?
True
Let l = -52 + 50. Suppose -2*k + 22 = -4*k. Let a = k + 10. Which is greater: l or a?
a
Let b be (6/(-4) - 0)*(-1180)/24. Let l = b + -74. Let i(k) = k**3 + 5*k**2 + 3*k - 4. Let s be i(-4). Which is greater: l or s?
s
Let g = -365 + 406. Which is bigger: g or 12?
g
Suppose 0*b - 2*h - 1 = b, 2*b + 11 = 5*h. Let a = -47 + 91. Let j be a/(-8) + (-2)/(-1). Are j and b non-equal?
True
Let h = -4 + 58. Suppose -h = 3*k + 21. Which is smaller: k or -22?
k
Let r be (-6)/(-9) + (-32)/30. Which is greater: r or 0.31?
0.31
Let c(t) = -12*t - 12. Let f be c(0). Let k(a) = -a**2 + 6*a + 5. Let r be k(5). Let s = r + f. Which is smaller: -1 or s?
s
Let y be -8*12/(-160) + 132/(-170). Are y and -0.1 unequal?
True
Let c = -557 - -1541/3. Let w = c + 43. Are w and -1 equal?
False
Let h(o) = -2*o - 35. Let c be h(-20). Let j = 7 - 6.96. Let p = 0.06 + j. Is p less than c?
True
Let j be 3*(-5)/6*-2. Suppose 5*s + 0*s = j. Is 5 at most as big as s?
False
Suppose 0 = u - 2*u + 3. Suppose 0 = 4*n + 5*z + 8, u*n = -2*n - 4*z - 19. Let c be (-9 - n)*(-2)/(-4). Is -1/4 at least c?
True
Let h be (-56)/(-13) - (37 - 33). Let w be (2/1 - 2)/(-1). Which is greater: h or w?
h
Let y = 22/13 + -2. Suppose 3*g = -2*z + 5, z - 2*z = -4*g + 14. Suppose 4*v - g = v. Is y > v?
False
Let i = -7/12 + 3/4. Let v = -467 - -465. Which is smaller: i or v?
v
Let g = 8900/3 + -2967. Let h = -0.29 - -0.2. Which is smaller: g or h?
g
Let l be 66/18 + 4/(-6). Let d(j) = 2*j - 3. Let a be d(l). Suppose -7*y + f - 11 = -2*y, -y + f - a = 0. Is y at most -1?
True
Let f(m) = m**2 + 2*m. Suppose -3*i = -0*o - o - 11, -3*o - 2*i = 0. Let y be f(o). Is y at most as big as 1/7?
True
Let o = -202 + 100. Which is greater: -104 or o?
o
Let v(p) = -p**2 - 6*p + 14. Let s(r) = 4*r - 31. Let w be s(6). Let y be v(w). Which is bigger: y or 8?
8
Let c be (-5)/((-70)/(-483))*-2. Do 1 and c have the same value?
False
Let f(i) = -5*i**3 - 15*i**2 + 6. Let c be f(-5). Is 255 greater than c?
False
Let p = -14.63 + 14.73. Which is smaller: p or 20/11?
p
Let t = -27 + 25. Suppose f - 4*l + 4 = 0, -5*f - 3*l = -4*f + 4. Is t greater than or equal to f?
True
Let f = -1258/3 + 412. Let a = -2357/321 - f. Are -1 and a non-equal?
True
Let x = -1028.8 + 1029. Are 0.338 and x non-equal?
True
Let n = -8 - -22. Let f = -0.282 + 15.182. Let a = f - n. Is a > -2/3?
True
Let g = -406 + 396.9. Is g <= 0.1?
True
Let h be -800*5/(-65)*-7. Let q = 431 + h. Which is smaller: q or -6?
-6
Let r = -2356 + 1629. Which is smaller: r or -726?
r
Let m be 1/(5 + 3/33*-56). Which is bigger: m or -16?
m
Let c be ((-1)/(-3))/((-11)/(-12)). Suppose i - 3 = 2*f, 3*f = 2*i + 1 - 5. Is c greater than i?
True
Suppose 4*h + 40 - 18 = -2*g, 5*h = -4*g - 29. Let m be 5 + -1 + g + 3. Which is smaller: 7 or m?
m
Let k be 6/(-4)*(-24)/(-18). Suppose 0 = 3*g - 8*g - 50. Let t be (0 - 1)/(g/(-6)). Which is greater: t or k?
t
Let u = -0.4 - -0.6. Let y be -5 - ((-3 - -3) + -1). Let t be 39/13*y/114. Is t != u?
True
Let l = 20 + 369. Is l at most 388?
False
Let l be (-4)/6 - ((-1536)/(-342) - 7). Which is smaller: 1 or l?
1
Let l = -1/24 - -67/72. Suppose 8*c = 3*c + 5. Which is smaller: c or l?
l
Let g = 3/76751 - 37754821/76751. Suppose 4*l = 2*l - p - 989, -3*l - 1491 = 3*p. Let s = l - g. Which is greater: s or 1?
1
Let p = 4694/18283 - -16/389. Are p and 1 nonequal?
True
Let j = 699 - 698. Is -2/989 < j?
True
Suppose 5*g = 9*g - 4*v + 116, -3*g - v = 79. Which is smaller: g or -29?
-29
Let q = 52078/51448649 - 4/21181. Which is bigger: 1 or q?
1
Suppose 0 = 3*d + 67 + 17. Let l = -28 - d. Is l bigger than -1?
True
Let h be (34/(-3))/((-8)/18). Let i = h + -25. Let k be 2*4/(-24)*10. Is k smaller than i?
True
Let q be 16*(-8299)/(-4250) - 3. Let g = -480/17 + q. Let n = g - 132/875. Is 1 > n?
True
Suppose -3*b - 76 = -5*z, -4*b + 6*z - z = 103. Which is smaller: 11 or b?
b
Let h(x) = -x**2 - 37*x + 131. Let i be h(-46). Which is bigger: i or -281?
-281
Let v(l) = l**3 - 5*l**2 - 3*l + 13. Let c be v(5). Are -31/19 and c equal?
False
Let q = 101.831 - -0.169. Let h = -103 + q. Which is smaller: 0.108 or h?
h
Let s(o) = -o**2 - 7*o - 25. Let j be s(-4). Is -8 equal to j?
False
Let q(c) = -4*c**3 + 13*c**2 + 12*c - 2. Let s be q(4). Which is smaller: -4/7 or s?
s
Let g = -28.3 + 28. Let p = 17.7 - g. Let z = p - 24. Is 1/3 greater than z?
True
Suppose 19 = l - 2*z, -2*z - 14 - 28 = -2*l. Let a(s) = s**2 + s + 1. Let o be a(-5). Is o < l?
True
Let j be ((-24)/(-5))/6 + (-15)/((-55350)/(-2892)). Suppose 5*a - 1 + 4 = 2*d, a + 5*d - 21 = 0. Which is smaller: j or a?
j
Let b(d) = -d**2 + 30*d + 57. Let h be b(11). Is 266 at most as big as h?
True
Let i be (-3514)/(-616) + ((-18)/8 - -2). Is i != -1?
True
Let f(v) = v**3 - 4*v**2 - v + 5. Let u = 7 + -3. Let n be f(u). Let y = n + -3. Is y greater than -3?
True
Suppose 4 = -4*j - 12. Let t be -1*1/2*j. Is 1/2 less than t?
True
Let g = 159 - 8. Let j = g + -105. Is 47 at most j?
False
Let k(q) = q**2 - 5*q - 5. Let a be k(-5). Let c = -44 + a. Which is smaller: c or 2/23?
2/23
Let z(p) = p**2 - 6*p + 6. Let c be z(4). Let b be 2*(-18)/(-1 + -2). Let i be 0*((-15)/b)/5. Which is greater: i or c?
i
Let x be (30/25)/(51/935). Is 26 at least x?
True
Suppose 9*r - 8*r + 4*o = -74, -296 = 4*r + 4*o. Is r <= -12?
True
Let r = | {
"pile_set_name": "DM Mathematics"
} |
ine o(x).
-8
Let w(k) be the third derivative of 7/8*k**4 + 0*k - 23/60*k**5 - 36*k**2 + 1/120*k**6 + 0 + 9/2*k**3. Give w(22).
5
Suppose 203 = 5*s + 4*l, 109 = 3*s - 5*l + l. Let p be 5*2/2 + 32. Let d = s - p. Let v(f) = 2*f**3 + 2*f**2 + f. Give v(d).
26
Let x(y) = y**2 + 5*y + 4. Suppose -i - 36 = -32. Let a be ((-8)/(-84)*6)/(i/(-14)). Suppose -3*g - 12 = 5*d, -a*g + 2*d = 7 + 1. What is x(g)?
0
Suppose 0 = r - 0*r - u - 1, 1 = u. Suppose -2*p = 2*b - 6*b + 10, -2*b = -r*p. Suppose 2*s - i - p = 0, -5*s - 2*i = -4*s. Let y(l) = l**2 - 2. Calculate y(s).
2
Let m(k) = -3 - 3*k - 2*k + 2*k. Suppose 5*q = 5*h + 45, 5*h + 15 + 26 = 4*q. Suppose 3*x + q = -4*z, x = 3*z - 2 + 18. Give m(x).
-15
Let i(k) = -k**3 + 6*k**2 - 6*k + 6. Let q(m) = m**3 + 28*m**2 + 13*m + 54. Let o be q(-27). Let w = o + -427. Determine i(w).
1
Let j(g) = -143 - g + 4*g + 42 + 47 - 12*g - g**2 + 46. Let a(n) = -n - 3. Let h be a(4). Let k = h + -1. Give j(k).
0
Let a = 72 - 44. Let d = -42 + a. Let g(x) = -x**2 - 15*x - 18. Determine g(d).
-4
Let p be (30 - 6) + -19 - (-6 + -1). Let v(b) be the third derivative of -b**5/60 + 11*b**4/24 + 2*b**3 + b**2. Determine v(p).
0
Let z(r) = -r**3 - 13*r**2 - 12*r + 4. Let p be z(-12). Let o(g) = -8 + 2*g + 7 + p. Let x(j) = -j**2 + 17*j - 46. Let m be x(14). Give o(m).
-5
Let y(s) be the third derivative of -s**4/3 - 11*s**3/3 - 138*s**2 - s. Determine y(-7).
34
Suppose 0 = 2*g + 7 - 3. Let z(l) = 9*l**3 + 31*l**2 - 22*l - 6. Let a(p) = 4*p**3 + 13*p**2 - 10*p - 3. Let r(y) = 7*a(y) - 3*z(y). Give r(g).
-11
Let x(l) = 6*l**2 - 54*l + 3. Let i(q) = -17*q**2 + 159*q - 11. Let r(k) = 4*i(k) + 11*x(k). Calculate r(21).
-11
Suppose -a = 7 - 1. Let u(w) = -5 + 0 - 7 - 2*w + 0. Let t be u(a). Let i(d) = -d**2 - 8. Determine i(t).
-8
Let k(g) = -37*g**2 - 889*g - 31. Let s be k(-24). Let y(l) = -l**3 - 9*l**2 - 10*l - 22. Calculate y(s).
-50
Let x be (-90)/42*(-154)/66. Let j(y) = 2*y**2 - 5 + 4*y**2 - y**3 + y - 4*y. What is j(x)?
5
Let l(f) = -9*f**2 + 2*f + 1. Suppose 0 = -4*a - 4*d - 944, 0*a + 3*a - 4*d = -673. Let t = a + 230. Calculate l(t).
-10
Let t = 90 + -80. Let m be 12/4 + 3/(6/t). Let a(x) = x - 18. Determine a(m).
-10
Let i(a) = 3*a + 1. Let l be i(-3). Let k(x) = -x - 6. Let d be k(l). Let v(j) be the second derivative of -5*j**3/6 + j**2 - 30*j + 3. Calculate v(d).
-8
Let n = 1101 - 742. Let o = n - 359. Let p(d) = -d**2 - d - 6. What is p(o)?
-6
Let m(a) = -2*a**3 + a**2 - a - 2. Let w(v) = -3*v**3 - 2*v**2 - 2*v - 7. Let y(x) = -2*m(x) + w(x). Calculate y(4).
-3
Suppose 2*p = -3*b + 3, p + 2*b + 1 = -0*b. Let u(d) = 23*d - 42*d + d**2 + 14*d - p. What is u(7)?
5
Let h = -40 - -40. Let m be h - (12 + 4)/(-1). Let v be (-8)/(-20) - m/(-10). Let a(s) = s - 4. What is a(v)?
-2
Let y(p) be the third derivative of -p**5/30 - p**4/8 + 7*p**3/6 + 47*p**2 - 27. Determine y(-4).
-13
Suppose 3*u - 17 + 8 = 0. Let t(v) = -2*v + 0 + 4 - u - 6*v**2 - v**2. Let j be ((-3)/6)/((-4)/8). What is t(j)?
-8
Let b(u) = 6*u**3 - u**2 - 2*u - 1. Let j = 46 - 47. Let l be 12/4*(8/(-6) - j). Determine b(l).
-6
Let z be (9/(-30))/(-2 - (-2)/(-20)*-2). Let k(q) be the second derivative of 0 + 3/2*q**2 + 41*q + 1/12*q**4 + z*q**3. Give k(-4).
15
Let u(h) = h**2 + 8*h - 3. Suppose -16*c - c = 7*c + 13*c. Give u(c).
-3
Let g(w) = 177*w - 2124. Let s be g(12). Let j(d) = 7*d + 14. Give j(s).
14
Let y be 15 + -26 - ((-14)/5)/(26/65). Let u(v) = -v**2 - 8*v - 19. Calculate u(y).
-3
Let m(p) = -p - 2. Let v(h) = -2*h - 5. Let o(y) = 3*m(y) - v(y). Let x(a) = 8*a**2 + 3*a - 1. Let z be 1 + 0 - (-7)/(7/(-2)). Let b be x(z). Calculate o(b).
-5
Let z(v) = -53*v + 1. Let k be z(-1). Let l(u) = 61*u**2 + 7*u - 114*u**2 + k*u**2 - 8. Give l(-6).
-14
Let t(x) = -164*x - 1241*x**2 + 622*x**2 + 618*x**2 + 170*x + 5. Suppose 18 = 3*o + 5*v, -o = -6*o + 4*v + 30. Calculate t(o).
5
Let p = 119 + -111. Suppose -p*r - 4*r = 48. Let h(d) = -d**2 - 3*d + 4. Calculate h(r).
0
Let y(j) = -j**3 + 6*j**2 - j + 8. Suppose 5*m = f + 7 - 5, 5*m - 4*f - 8 = 0. Let l be (2 - 4 - m)*2. Let q be 64/11 + l/(-22). Give y(q).
2
Let v = 77 - 70. Let l(u) be the second derivative of u**4/6 - 7*u**3/3 - 5*u**2 - 701*u. What is l(v)?
-10
Let t = 0 - -253. Let p = 260 - t. Let f(b) be the third derivative of b**5/60 - b**4/3 - b**3/3 - b**2. Determine f(p).
-9
Let h(d) = -222 + 0*d - 4*d + 3*d**2 + 218. What is h(-5)?
91
Let q(h) = -h**3 - h. Let t be q(-2). Let g(w) = 11*w - 27*w + 15*w + t. Calculate g(0).
10
Let r(t) = -t**3 - 8*t**2 - 4*t - 8. Let u(i) = -5*i**2 - 13*i - 16. Let f be u(-1). What is r(f)?
24
Let t(z) = -z**3 - 23*z**2 + 9*z - 3. Let k(f) = -f**3 + 5*f**2 - f. Let i(w) = 4*k(w) + t(w). What is i(1)?
-6
Let w(f) = 517*f + 1 - 7 - 265*f - 4*f**3 + 10*f**2 + 5*f**3 - 246*f. Determine w(-5).
89
Suppose -22*d + 23525 = -6527. Let s(x) = d*x**2 - 679*x**2 + 1 - 673*x**2. Determine s(1).
15
Let q(m) = m**2 - 35*m + 53. Let w be q(26). Let o = 177 + w. Let v(r) = r - 161*r**3 - 2 - 5*r**2 + 160*r**3 + 0. What is v(o)?
-22
Let d(c) = 90 + c**2 + 12*c + 89 - 260 + 92. Suppose f = 3*s - 4 - 10, -20 = 3*f + 2*s. Calculate d(f).
-21
Let x(w) = w**2 + 6*w + 11. Let y(f) = -5*f**3 + 23*f**2 + 10*f - 2. Let h be y(5). What is x(h)?
3
Let n(j) = -j**3 - 8*j**2 - 9*j - 15. Let v be (63/18)/((-3)/6). What is n(v)?
-1
Let a(r) = r**2 - 4*r. Let g(c) = -c**3 - 9*c**2 + 7*c - 32. Let h be g(-10). Let t be 0 + 4 - (-3 - h). Suppose -f + 6*f + t = -4*z, -4*z = f - 15. Give a(z).
5
Let t = -9265 + 9256. Let p(k) = -3*k + 4. Let u(d) = 10*d - 12. Let c(j) = 16*p(j) + 5*u(j). Give c(t).
-14
Let z = -47 + 49. Suppose a + z = -n, a - n - 4 = n. Let w(x) = -x**3 - x**2 - x + 16. Give w(a).
16
Let f(s) = 4*s**3 + 11*s**2 - 19*s + 12. Suppose 15*m - 17*m = 4*c - 6, -2*c + m + 1 = 0. Let k(g) = g**3 - g + 1. Let v(n) = c*f(n) - 5*k(n). Give v(9).
43
Let j(d) = -7*d + 5. Let t(s) = 6*s - 5. Let y(r) = 5*j(r) + 6*t(r). Let u(f) = f + 5. Let w be u(-1). Suppose w*h + 4 = 4. Calculate y(h).
-5
Let s = 94 - 92. Let a(h) = h**s + 2797 - 2806 + 0*h**2 - 8*h. Give a(10).
11
Let t(m) = 4*m + 5. Let f(c) = 454*c + 12. Let g(d) = -70*d - 2. Let x(y) = -4*f(y) - 26*g(y). Let n be 21*-1*(-2)/6. Let i(j) = n*x(j) - 6*t(j). What is i(-2)?
-10
Let a be ((0 - 0) + -1)*-2. Let y(d) = 8*d**2 - 5*d**a - d**3 - 9*d**2 - 6 + 6*d. Let c be y(-7). Let r(x) = -8*x. Determine r(c).
-8
Suppose -5 = -4*j + 2*c + 3, -3*c - 6 = 0. Let r be j/(-3) - (-4)/(-6). Let o(q) = 8*q**2 + 11*q**2 + 92*q + 0 - 178*q - 1 + 85*q + 3*q**2. Give o(r).
22
Let w(p) = -p**2 + 12*p - 9. Let t be w(11). Let z(j) = 0 + t + 0*j + j. Suppose -2*o + 21*h + 14 = 17*h, 0 = 4*o - 4*h - 8. What is z(o)?
-1
Let c(i) be the first derivative of 41 - 2*i**3 + 5/2*i**2 + 1/4*i**4 + i. Calculate c(5).
1
Let t(v) be the second derivative of -1/12*v**4 - 2*v - 1/2*v**2 - 4/3*v**3 + 0. Let a be ((-120)/(-18))/((-9)/(81/(-6))) - 17. What is t(a)?
6
Let v(c) = c**2 + 9*c - 11. Let s be v(-10). Suppose -2*m - 16 = 3*l - 5*l, -1 = 3*l + 2*m. Let p(r) = -l*r**2 - 5*r**2 + r - 2*r. Give p(s).
-7
Let o(y) be the third derivative of y**5/60 - y**4/12 - y**3/3 - 1107*y**2. What is o(4)?
6
Let o(m) = 15. Let z(h) = -h + 45. Let v(g) = -7*o(g) + 2*z(g). Let a be (-1 + 2)/(-7*12/588). Give v(a).
-1
Let b(a) = -109*a - 17. Let d(l) = 19*l + 4. Let g(x) = 2*b(x) + 11*d(x). What is g(-2)?
28
Let q(b) = -6*b**3 + 9*b**2 + 253 - 3*b**2 + 7*b**3 - 250 + 0*b**2 + 2*b. Determine q(-6).
-9
Let j(r) = -105*r**2 - 3 - r + 65*r**2 + 50*r**2. Calculate j(2).
35
Let y be 8/64*(-4)/(-6). Let j(q) be the second derivative of -y*q**4 + 0 - 2*q**2 + 5/6*q**3 - 10*q. What is j(3)?
2
Let n(m) = -7*m**2 + 48*m - 299. Let x(b) = -b**2 + 2*b + 1. Let z(w) = n(w) - 6*x(w). What is z(22)?
3
Let f(c) = -11*c**2 + 9*c + 5. Let y(z) = -8*z**2 + 8*z + 3. Let x(s) = 3*f(s) - 4*y(s). Calculate x(-6).
-3
Suppose -3*l + 84 = 60. Let x(j) = j**3 - 8*j**2 + 2*j - 8. Let f be x(l). Let g(b) = -7*b**3 - 10 - 6*b**3 + 3*b + 12*b**3 - f*b**2 + 2*b**2. What is g(-7)?
18
Let k(b) = b**3 + b**2 + 4*b + 3. Suppose 2*y + 3 = -a, 2*a + 13 = y + 27. Calculate k(y).
-61
Let w(f) = -2*f**2 + 10*f + 4. Suppose 2*t - 5*u - 3 = 0, -12*u + 7*u + 95 = 5*t. Let v be (-36)/(-2)*t/42. What is w(v)?
-8
Let u(f) = -f**3 + 14*f**2 | {
"pile_set_name": "DM Mathematics"
} |
o dps?
3
Round -45.115815 to 2 dps.
-45.12
Round 529945.0639 to the nearest 10000.
530000
What is 0.37569776 rounded to 1 dp?
0.4
Round 3850.01277 to 1 decimal place.
3850
Round -484.5010919 to zero decimal places.
-485
Round 0.03292348686 to six decimal places.
0.032923
Round 84994542.21 to the nearest one million.
85000000
Round 4.63997057 to four dps.
4.64
What is -46525628660 rounded to the nearest 1000000?
-46526000000
Round -41.89385 to 2 dps.
-41.89
What is 3424408.101 rounded to the nearest one hundred?
3424400
What is 0.0000049487644 rounded to five decimal places?
0
Round 1183.278824 to one decimal place.
1183.3
Round -0.0001630847672 to seven decimal places.
-0.0001631
Round -9.16244137 to three dps.
-9.162
Round 10596632.236 to the nearest 1000000.
11000000
Round 201118.9897 to the nearest 100.
201100
What is -9.17296732 rounded to three dps?
-9.173
What is 3.1526329 rounded to one decimal place?
3.2
What is -0.000184451236 rounded to 4 dps?
-0.0002
What is -12401.75489 rounded to the nearest ten?
-12400
What is 0.36664583 rounded to 3 decimal places?
0.367
What is -13273.92408 rounded to 0 decimal places?
-13274
What is 210451638.16 rounded to the nearest 100000?
210500000
Round -2305247.553 to the nearest 10000.
-2310000
What is 6.52853955 rounded to the nearest 10?
10
Round 152.117111 to 0 decimal places.
152
Round -0.0588174932 to 5 dps.
-0.05882
Round -38431.8619 to the nearest 10.
-38430
What is -10940.32014 rounded to the nearest 10?
-10940
What is -54608957.14 rounded to the nearest one hundred thousand?
-54600000
What is 32625126.84 rounded to the nearest one hundred thousand?
32600000
Round 49.93988223 to one dp.
49.9
Round -0.00000109759045 to seven dps.
-0.0000011
What is 5.1077613 rounded to one decimal place?
5.1
Round -653888971.8 to the nearest one million.
-654000000
What is -473392.996 rounded to the nearest one thousand?
-473000
What is 0.01025868665 rounded to 5 dps?
0.01026
Round -0.0050424417 to 7 dps.
-0.0050424
Round -4136609.962 to the nearest ten thousand.
-4140000
What is -0.055353957 rounded to three dps?
-0.055
What is 0.000000020879082 rounded to seven dps?
0
Round 2204.740431 to one decimal place.
2204.7
What is -0.011453988099 rounded to three decimal places?
-0.011
What is -0.00002422915729 rounded to 6 dps?
-0.000024
What is -18.79989992 rounded to three decimal places?
-18.8
Round 4804.45474 to the nearest ten.
4800
Round 0.00083685951 to four dps.
0.0008
Round 21152921450 to the nearest 1000000.
21153000000
Round -0.5481625473 to two decimal places.
-0.55
Round -0.0000016895412 to seven dps.
-0.0000017
Round -12.71479131 to one dp.
-12.7
What is -359964.52 rounded to the nearest ten thousand?
-360000
What is -0.0727953453 rounded to four dps?
-0.0728
What is 11501620.497 rounded to the nearest one hundred thousand?
11500000
Round 517.196913 to two decimal places.
517.2
What is -41.5098305 rounded to 1 dp?
-41.5
Round -11276234.4 to the nearest 1000000.
-11000000
Round 0.0002987234277 to six dps.
0.000299
What is -0.217487222 rounded to five decimal places?
-0.21749
What is 16.3607324 rounded to one decimal place?
16.4
Round 7152894.75 to the nearest 100000.
7200000
What is -75459186.44 rounded to the nearest 10000?
-75460000
Round -988.5673 to the nearest integer.
-989
Round 347130.717 to the nearest ten thousand.
350000
Round -0.000113364518 to six decimal places.
-0.000113
Round -0.00053107343 to 4 dps.
-0.0005
What is -61293.844 rounded to the nearest 100?
-61300
Round -516878.845 to the nearest one hundred thousand.
-500000
Round -0.023593087 to 4 dps.
-0.0236
What is -1.3716649 rounded to 4 decimal places?
-1.3717
Round -153.4612192 to 1 decimal place.
-153.5
Round -68918.5138 to the nearest 1000.
-69000
What is 2143.85407 rounded to the nearest one hundred?
2100
What is -39.419583 rounded to 2 dps?
-39.42
Round -51025.0918 to the nearest integer.
-51025
What is -13219.4333 rounded to the nearest 100?
-13200
What is -16306.675 rounded to the nearest 100?
-16300
Round 335530.9869 to the nearest one thousand.
336000
What is -0.00002498194944 rounded to seven decimal places?
-0.000025
What is 44385.182 rounded to the nearest one hundred?
44400
What is 0.852302 rounded to two decimal places?
0.85
What is -657137.9989 rounded to the nearest ten?
-657140
What is -0.431743985 rounded to 4 dps?
-0.4317
What is -1861.739273 rounded to the nearest 100?
-1900
Round 849884.849 to the nearest 10000.
850000
Round -8895939110 to the nearest one million.
-8896000000
What is -0.27897409 rounded to 5 decimal places?
-0.27897
What is -0.0000070922019 rounded to six dps?
-0.000007
What is -0.000518122426 rounded to 6 dps?
-0.000518
Round -0.0947479249 to 3 dps.
-0.095
What is 0.3063133336 rounded to 3 dps?
0.306
Round -208906.44 to the nearest 10.
-208910
What is 0.0000294599215 rounded to 5 decimal places?
0.00003
Round 0.001280292042 to 7 dps.
0.0012803
Round 82.357595 to 2 dps.
82.36
Round 73205.4925 to the nearest 1000.
73000
Round 0.00000038282995 to seven decimal places.
0.0000004
What is -0.01679589826 rounded to three decimal places?
-0.017
What is -998253.338 rounded to the nearest one hundred?
-998300
Round 1.30036154 to zero dps.
1
What is -5317.193017 rounded to the nearest 1000?
-5000
Round -0.000489021275 to five dps.
-0.00049
Round -0.071321747 to 5 decimal places.
-0.07132
What is -4194.100706 rounded to the nearest integer?
-4194
What is -0.0001393622793 rounded to six decimal places?
-0.000139
Round -0.00306288708 to six decimal places.
-0.003063
What is -1039281.89 rounded to the nearest 100000?
-1000000
What is 0.1394017494 rounded to 3 dps?
0.139
Round -190479.717 to the nearest ten.
-190480
What is 167050.078 rounded to the nearest one hundred thousand?
200000
Round -887.6246526 to one decimal place.
-887.6
Round 309614.0536 to the nearest 10000.
310000
What is -0.803910975 rounded to 3 dps?
-0.804
Round 10800.2967 to the nearest 100.
10800
Round -788114000 to the nearest one million.
-788000000
What is -6.45774266 rounded to 4 decimal places?
-6.4577
Round -28.117005 to two decimal places.
-28.12
Round 12877.74739 to the nearest 1000.
13000
What is 0.000161591856 rounded to 7 dps?
0.0001616
What is 3970683122 rounded to the nearest 100000?
3970700000
Round -104101.2359 to the nearest one thousand.
-104000
What is 4.905869173 rounded to four dps?
4.9059
What is -4366.88139 rounded to the nearest one thousand?
-4000
Round 0.75471971 to 4 dps.
0.7547
What is -0.000004407122 rounded to 6 decimal places?
-0.000004
Round 5.602167 to the nearest integer.
6
What is -452.962032 rounded to the nearest integer?
-453
Round -21.79182394 to 3 decimal places.
-21.792
Round 158012.7545 to the nearest ten.
158010
Round 2288167.362 to the nearest ten thousand.
2290000
Round -0.0183804612 to four dps.
-0.0184
Round 0.0000008198135779 to 7 decimal places.
0.0000008
Round -0.000002480252146 to 7 decimal places.
-0.0000025
What is -0.5233027 rounded to 1 decimal place?
-0.5
What is -28333067.7 rounded to the nearest 100000?
-28300000
What is 22573.04255 rounded to the nearest ten?
22570
Round -0.000304450436 to 6 decimal places.
-0.000304
Round -7568276.3 to the nearest ten thousand.
-7570000
Round -0.31283749 to one dp.
-0.3
Round -0.48576818 to 4 decimal places.
-0.4858
What is 845.514551 rounded to 1 decimal place?
845.5
Round 1.739280717 to one dp.
1.7
What is -63.163524 rounded to 1 decimal place?
-63.2
Round 730.21269 to the nearest one hundred.
700
What is -1295.297039 rounded to the nearest one hundred?
-1300
Round 0.000050346354 to six dps.
0.00005
Round -0.0898759193 to two dps.
-0.09
Round -4596.6012 to the nearest ten thousand.
0
Round 170722170 to the nearest one hundred thousand.
170700000
What is -312.471601 rounded to the nearest 10?
-310
Round -62.6289209 to 2 decimal places.
-62.63
What is 0.1630801314 rounded to 2 decimal places?
0.16
Round 0.0006181999 to five dps.
0.00062
Round -0.00485175859 to six decimal places.
-0.004852
Round -0.000001653298311 to 7 dps.
-0.0000017
Round -1001.10642 to the nearest 100.
-1000
What is -0.005701651687 rounded to five decimal places?
-0.0057
Round -10.0848059 to 2 decimal places.
-10.08
What is 380004.181 rounded to the nearest one thousand?
380000
W | {
"pile_set_name": "DM Mathematics"
} |
- a wrt v.
-12
Let n(k) be the third derivative of -5*k**4/3 + 23*k**3/6 + k**2 + 16*k. What is the derivative of n(r) wrt r?
-40
Let b = -10 - -15. Suppose -4*a + 4*w = -52, 49 = 5*a + 4*w - 5*w. What is the second derivative of -s - s - a*s**5 + b*s**5 wrt s?
-80*s**3
Let w(s) be the second derivative of -s**4/12 - s**3/6 + 9*s. Let g(p) = -20*p**2 + 6*p. Let r(x) = -g(x) + 2*w(x). What is the second derivative of r(m) wrt m?
36
Suppose 8 = -2*l, -2*z + l = -3*l - 26. Suppose v = 2, 0*v = z*u + 3*v - 16. Find the third derivative of 2*k**2 - 2*k + 6*k**3 - 5*k**3 + u*k wrt k.
6
Let p = 10 + -9. Let n(r) = r**2 - r. Let z(c) = -6*c**3 - 4*c**2 + 4*c - 10. Let j(l) = p*z(l) + 4*n(l). Find the first derivative of j(m) wrt m.
-18*m**2
Let a(v) = v**3 + 9*v**2 + 8*v + 5. Let g be a(-8). Let s be ((-6)/4)/((-3)/6). Find the second derivative of 3*t**5 + s*t**g - t - 5*t wrt t.
120*t**3
Let k be 2 + -1 + 8/(-4). Let t = 11 + k. Differentiate -t + 0*m + 0*m - 3*m + m wrt m.
-2
Let c(x) be the second derivative of -223*x**4/12 + 83*x**2 + 17*x + 5. Differentiate c(f) with respect to f.
-446*f
Suppose -3*z + 4*z = 2. What is the third derivative of 53*a**3 - 8*a**2 - 2*a**z - 67*a**3 wrt a?
-84
Let y(c) = 13*c**2 - 2*c - 3. Let x(h) = 4*h + 1 - 39*h**2 + 3 + 3*h + 5. Let p(o) = -4*x(o) - 14*y(o). Differentiate p(d) wrt d.
-52*d
Let t(y) = y + 1. Let b(o) = 68*o**2 - 69*o + 6. Let p(u) = b(u) - 6*t(u). What is the second derivative of p(d) wrt d?
136
Suppose 2*q = 2*x - 6, -1 - 1 = 4*q - 2*x. What is the derivative of 4 + 0*h**2 - 3*h**3 + 0*h**q + 9 wrt h?
-9*h**2
What is the first derivative of -509*p + 9*p + 57*p - 534 + 57 wrt p?
-443
Let h = 59 + -39. Find the first derivative of -177 + 71 - h*l**4 + 70 wrt l.
-80*l**3
Let y(m) be the first derivative of -17/4*m**4 - 19*m + 9 + 0*m**3 + 0*m**2. Differentiate y(j) with respect to j.
-51*j**2
Suppose b + 3*p - 38 = 0, -4*p - 65 = 5*b - 200. Find the third derivative of -b*t**2 + 17*t**2 + 13*t**2 + t**4 wrt t.
24*t
Let i(f) = -f + 1. Let r = -9 + 13. Let o be (-10)/6 - r/(-6). Let d(v) = -7*v + 8. Let b(y) = o*d(y) + 6*i(y). Differentiate b(t) with respect to t.
1
Suppose -n + 5 = 4. Let j be ((-12)/(-4) + -2)/n. What is the second derivative of -5*r**3 + 4 - 5 - r + j wrt r?
-30*r
Let c(f) = -2*f**2 + 14*f + 1. Let l be c(6). Suppose 0 = -2*b + l - 5. What is the derivative of 15*d**b - 12*d**4 + 3 + 11 - 5 wrt d?
12*d**3
Let s(i) = -i**2 - 9 + 5 + 3*i + 3*i. Let z be s(4). Find the second derivative of -7*x + 0*x**3 + 5*x**3 + z*x**3 + 0*x wrt x.
54*x
Let o(k) = -737*k**2 - 2*k - 75. Let n(b) = -2*b**2 + 6. Let l(s) = 5*n(s) + o(s). Find the second derivative of l(t) wrt t.
-1494
Let x(c) be the second derivative of -10*c**7/21 + c**6/10 + 17*c**4/3 - 167*c + 1. What is the third derivative of x(g) wrt g?
-1200*g**2 + 72*g
Let u = 19 - 17. Find the second derivative of 0*x - 2*x - 52*x**2 + 60*x**u wrt x.
16
Let i(o) = 676*o**3 - 3*o**2 + 578*o + 3. Let l(z) = -1350*z**3 + 5*z**2 - 1157*z - 5. Let w(j) = -5*i(j) - 3*l(j). What is the second derivative of w(k) wrt k?
4020*k
Let f(a) = 2*a**3 + a - 1. Let y be f(1). What is the first derivative of -4*c**y - 241 + 252 + 21*c**2 wrt c?
34*c
Let v(n) be the second derivative of -5*n - 1/2*n**3 + 0*n**2 + 0 - 14/15*n**6 + 0*n**4 + 0*n**5. What is the second derivative of v(k) wrt k?
-336*k**2
Let s(i) be the second derivative of -10*i**4/3 - 15*i**3/2 + 3*i**2/2 + 131*i. Find the second derivative of s(x) wrt x.
-80
Let g(a) = a**3 - 9*a**2 + 12*a - 6. Let y be g(8). What is the third derivative of 31*j**2 - y*j**2 - 2*j + 10*j**6 + 2*j wrt j?
1200*j**3
Let u(g) = -7*g + 7. Let o(w) = -20*w + 22. Let h(f) = 4*o(f) - 11*u(f). Let n(t) = t - 5. Let l(c) = 6*h(c) + 15*n(c). Differentiate l(y) with respect to y.
-3
Let i(c) = 39*c**3 - c**2 - 38*c. Let m(w) = -37*w**3 + 2*w**2 + 38*w. Let o(b) = -3*i(b) - 2*m(b). What is the third derivative of o(z) wrt z?
-258
Suppose -d = -17*d - 28*d. Let n(p) be the first derivative of -1/2*p**4 + d*p - 3/2*p**2 + 9 + 0*p**3. Find the second derivative of n(x) wrt x.
-12*x
Let l(z) be the second derivative of 7*z**6/5 - 2*z**3/3 + 6*z - 3. Find the second derivative of l(x) wrt x.
504*x**2
Let n be -34*(-3)/24 - 4. Let q(x) be the second derivative of n*x**4 + 0 + 0*x**2 + 3*x + 5/6*x**3. Find the second derivative of q(j) wrt j.
6
Let b(d) be the first derivative of -5*d**2 + 10*d + 10. Let k(x) = x - 1. Let g(s) = -b(s) + 4*k(s). What is the derivative of g(y) wrt y?
14
What is the third derivative of 32*q**5 + 18*q**5 - 407*q**4 - 60*q**2 + 407*q**4 wrt q?
3000*q**2
Let k(n) be the second derivative of 37*n**7/42 + n**5/10 + 71*n**4/12 - 191*n. Find the third derivative of k(u) wrt u.
2220*u**2 + 12
Let l(t) be the second derivative of 0*t**5 + 0*t**6 + 0*t**2 + 0*t**3 + 29/42*t**7 - 13/12*t**4 - 22*t + 0. Find the third derivative of l(v) wrt v.
1740*v**2
Let a(g) be the second derivative of 153*g**4/2 + 7*g**3/6 + 39*g**2/2 - 497*g. What is the second derivative of a(k) wrt k?
1836
Let w = 52 - -269. Find the third derivative of w*f**4 - 327*f**4 - 20*f**2 + 2*f**2 wrt f.
-144*f
Let u(b) = 2*b**2 - 4*b - 13. Let i be u(-2). What is the second derivative of 98*k - 83*k - 10*k**i + 0*k**3 wrt k?
-60*k
Let z(k) be the first derivative of 0*k**2 - 9 + 26/3*k**3 - 7/4*k**4 + 0*k. Find the third derivative of z(g) wrt g.
-42
Let h be (3 + 18/(-4))*(-8)/4. Let d(l) = l + 7. Let g be d(-5). What is the first derivative of i**2 - 3*i**2 + i**2 + h - 3*i**g wrt i?
-8*i
Let o(a) = a**2 - 5*a - 5. Let c be o(6). Suppose 4*t - 3*t + 27 = 2*u, 0 = -u + 3*t + 1. Find the first derivative of x**3 + 16*x**2 - c - u*x**2 wrt x.
3*x**2
Let k(l) = l**4 + l**3 + l**2 - 1. Let v(j) = -55*j**6 + 6*j**4 + 6*j**3 - 39*j**2 - 6. Let z(a) = -6*k(a) + v(a). What is the third derivative of z(i) wrt i?
-6600*i**3
Find the first derivative of -61*q - 44*q - 116*q - 82 - 45*q - 45 wrt q.
-266
Suppose 0*y = 2*y. Let o be (0 - y)/((-6)/3). Find the second derivative of 3*n + 0*n**2 - 2*n**2 - 2*n**2 + o*n**2 wrt n.
-8
Suppose 3*n + 34 = -2. Let d = n - -12. Differentiate -4 + d - 4*h - 4*h + h with respect to h.
-7
Let l = 40 + -38. What is the derivative of 1 + 80*k**l - 62*k**2 + 10 wrt k?
36*k
Let j(h) = h**3 + 2*h + 3. Let t be j(0). Find the third derivative of 3*s**3 - 10*s**2 - 9*s**2 + 2*s**t + 11*s**2 wrt s.
30
Let s(f) = 2*f**2 - 6*f - 9. Let j be s(5). What is the second derivative of j*c + 16*c - 26*c - 36*c**3 wrt c?
-216*c
Let k(f) be the second derivative of 313*f**7/21 + f**4 + f**2/2 - 4*f + 29. What is the third derivative of k(h) wrt h?
37560*h**2
Let x(r) = 130*r**4 + 4*r**3 + 131*r - 2. Let g(j) = -j**4 - j**3 + j + 1. Let f(y) = -4*g(y) - x(y). What is the second derivative of f(d) wrt d?
-1512*d**2
Suppose -3*b - 5*b = -3*b. Find the second derivative of -11*l - 25*l**3 + b*l + 30*l**3 wrt l.
30*l
Let p(d) be the first derivative of -3*d**4/2 + 5*d**3/3 - d**2 + 189*d + 358. What is the second derivative of p(s) wrt s?
-36*s + 10
Let w(i) be the third derivative of -i**9/8 - i**5/20 + i**4/12 + 2*i**2 - 21*i. Find the third derivative of w(r) wrt r.
-7560*r**3
Let t(k) = 249*k**2 + 220*k + 20. Let l(q) = 250*q**2 + 221*q + 16. Let o(y) = 5*l(y) - 4*t(y). Find the second derivative of o(c) wrt c.
508
Let v(t) = -50*t**2 + 16 - 3*t - 6*t**3 + 6*t - 16. Let q(n) = -5*n**3 - 50*n**2 + 2*n. Let i(m) = -3*q(m) + 2*v(m). Find the third derivative of i(b) wrt b.
18
What is the first derivative of -171 - 84*a**2 + 213*a**2 - 9*a**2 wrt a?
240*a
Let l(k) = -k**3 - k**2. Let v(w) = -66*w**3 - 12*w**2 - 5. Let z(r) = 5*l(r) - v(r). What is the third derivative of z(o) wrt o?
366
What is the first derivative of -5*l**2 - 161 - 35*l - 77 + 7*l**2 + 11*l wrt l?
4*l - 24
Find the third derivative of 0*i**2 - i**4 + 0*i**4 - i**2 - 65*i**6 - 237 + 257 wrt i.
-7800*i**3 - 24*i
Let w(s) be the second derivative of -29*s**5/10 - 11*s**4/12 + s**3/3 + 180*s. What is the third derivative of w(j) wrt j?
-348
Let j(o) = 2*o**2 + o + 1. Let h(r) = 190*r**2 + 160*r + 5. Let x(f) = -h(f) + 5*j(f). What is the second derivative of x(k) wrt k?
-360
Let v(s) be the second derivative of 11/20*s**5 - 35/2*s**2 + 0*s**4 + 0*s**3 + 12*s + 0. Find the fir | {
"pile_set_name": "DM Mathematics"
} |
4))/(-19))?
23
Evaluate 45/((-11)/(11/3)).
-15
Calculate (-927)/(-54) - (220/10 - 6).
7/6
((-42)/20)/((-888)/740)
7/4
(130/(-15) + 12)*(-147)/(-35)
14
What is (-55)/(-1155) + 3/((-189)/73)?
-10/9
What is the value of (-57)/((15/(-20))/(6/(-24)))?
-19
What is the value of 2*(-9)/((-585)/(-26))?
-4/5
Calculate (-92)/(-192)*2 - 60/45.
-3/8
What is ((-4)/(-12))/((-38)/(-12))?
2/19
Calculate -1 + 36/(-132)*-11.
2
Calculate 5781/(-846) + (4 - 8/(-2)).
7/6
(6/(-28))/(786/(-917))
1/4
What is 60/112 - 2/8 - 258/21?
-12
1/(-21) + (-124)/(-651) + (-54)/35
-7/5
What is -1*15*(-18)/(-3780)?
-1/14
What is the value of -3 - -8 - (8 + 20/(-4) + -3)?
5
Evaluate (-28514)/24210 - (-2)/(-10)*3.
-16/9
What is -2 + 12/(-16) + 337/60 + -3?
-2/15
Evaluate 1183 - 1192 - (-2 - (-229)/(-33)).
-2/33
(-128)/(-64)*2/(-44)
-1/11
Evaluate -1*(-3)/(-6)*-11 - 6 - 6.
-13/2
What is ((-39)/520*4)/((-2)/(-5))?
-3/4
Calculate (-8)/(-18) - 35/((-73710)/36).
6/13
Calculate ((-6)/20)/(-19 + 82032/4320).
27
Evaluate (0 - (-66)/(-4))/((-297)/(-198)).
-11
What is -33 - (-28 - -15 - 24)?
4
-10*(20/(-80)*28 + (-39)/(-5))
-8
What is the value of -1 + 3 + 2 - -6*(-9)/(-6)?
13
What is (-5)/((-6)/10 + (-68)/170)?
5
Calculate (-3)/(-4 - (-62)/14).
-7
What is the value of 204/(-8)*(-6)/9?
17
What is (-24)/(-22)*15884/6498?
8/3
143/(-13) + (-13 - -10*4/8)
-19
Calculate ((-15)/18)/(-5)*12/(-9).
-2/9
Calculate ((-1428)/(-245) + -6)/(108/(-180)).
2/7
Calculate (-25)/(18 - 410/20).
10
What is (0 + 6/15)/((-116)/1450)?
-5
(((-2)/8)/((-95)/190))/((-1)/4)
-2
What is 995/(-390) + (-12)/(-234)?
-5/2
What is ((-10)/15)/(((-2)/(-8))/((-504)/112))?
12
Calculate -37 - (-1134)/56 - 2*(-6)/16.
-16
((-1404)/624)/(1/(-8))
18
5*(196/(-28) - (26/(-5) - 0))
-9
What is the value of ((-1732)/7794)/((-8)/9)?
1/4
What is ((-6)/10)/((276/40)/(-69))?
6
What is (18/(-10))/((-49)/(-280)*-12)?
6/7
What is the value of (-21)/98*252/(-216)?
1/4
Evaluate 2*55/(-528)*-16*(0 + 6).
20
Evaluate (132/1584)/((-2)/40).
-5/3
What is (-35)/30*3 - (-4 - -1)?
-1/2
What is the value of 60/70 + 1/21*402?
20
-8 + -3 - 6720/224*(-2)/(-15)
-15
(-8904)/63504 - 4/54
-3/14
Evaluate (-504)/(-49) + (-115)/(-161).
11
What is the value of (-34)/272*-4*58?
29
Evaluate 1603/(-105) + 76/285.
-15
What is the value of (-1)/(-2)*4*81/(-378)?
-3/7
Evaluate (-2)/11*3 - (-103)/2266.
-1/2
What is the value of 35 - 80 - -39 - 1*2?
-8
Calculate 14 + (74120/(-310))/17.
-2/31
Calculate (5 + -9)*70/(-140).
2
Calculate 2/20*(-3)/3.
-1/10
What is the value of 4*-1 + 300/(-108) + 10/(-45)?
-7
Evaluate (12 - (-170)/(-20))/((-2)/(-4)).
7
Calculate (30/(-28))/(((-4)/(-6))/(136/102)).
-15/7
What is 6/(-9)*-1*(4 + (-141)/24)?
-5/4
What is (186/(-14))/(-3) + (-8608)/(-15064)?
5
What is the value of 108/288*(((-16)/(-12))/2 - 2)?
-1/2
Calculate (62/(-155))/(49/35) - 220/14.
-16
Evaluate ((-6)/(-4) + -1)/(8/48).
3
What is the value of 444/540 - (76/18 + 0 + -4)?
3/5
What is the value of (257/225 + 0 + 1514/18925)*-6?
-22/3
What is the value of ((-24)/10)/((-7587)/2810)*2/(-4)?
-4/9
Evaluate (1/1)/(43 - 48).
-1/5
What is (-2)/4*0 - (-50 - 3952/(-80))?
3/5
Evaluate (-537)/54 + ((-5)/(-2))/((-105)/(-420)).
1/18
What is (-158)/(-520) + 243/(-1620)?
2/13
Calculate 9/14*-46 + -45 + (-28710)/(-630).
-29
Evaluate 2/(-17) - -22*(-1058)/1564.
-15
Evaluate (-18 + (-36 - -43))/((-2)/(-6)).
-33
Evaluate ((-15)/(13 - 28))/(1/(-11) + 0).
-11
(-1 - 532/(-91)) + (-5)/1
-2/13
-4*((51/119)/((-4)/14))/105
2/35
Evaluate (1 - 2)*(28 + -28).
0
Evaluate (-10)/55 + (-2)/(-2) + (-1598)/1496.
-1/4
Evaluate ((-1)/(-60) - 4/(-10))/((-14)/(-84)).
5/2
What is the value of 910/(-1456)*2/(-10)?
1/8
What is (-1577)/15580 - 57/(-380)?
2/41
Calculate 30/814 + (-524)/(-44) + -12.
-2/37
((-2600)/780)/((-2)/(-9))
-15
Evaluate (-3)/42 + 97030/9548 - 10.
1/11
(-10336)/5320 + -3*8/(-12)
2/35
704/16 - (16 - 1)*(-4)/(-6)
34
What is the value of 3692/(-6461) + 138/(-28)?
-11/2
Calculate -33 - -19 - 744/(-54).
-2/9
Evaluate 8319/(-885) - ((-26)/(-10) - 2).
-10
What is the value of ((-28)/8 + 0)/(25 + (-1170)/52)?
-7/5
Calculate 18 + -8 + 4 - 3/(12/(-32)).
22
What is (18/(-144) + 59/(-40))/((-24)/90)?
6
145 + -148 + (112/120)/(3/10)
1/9
-6 + (500/42 - (-1 + 8 + -1))
-2/21
What is the value of (-1 + 9 - 0) + 105/(-7)?
-7
Calculate (-24)/(-80)*-1*(-19 - -29).
-3
What is 3/((5 + 3 - 12)/(-4))?
3
What is (-2)/5*2752/(-3440)*2/(-40)?
-2/125
What is the value of (6 + -5)/(((-12)/18)/(28/(-3)))?
14
Calculate 215 - 232 - (-33)/2.
-1/2
What is the value of -3 + 1 + -5 + 18?
11
What is (0 - (-1)/(-2))/((564/48)/(-47))?
2
Calculate 40/(-1190)*126/36.
-2/17
Evaluate (-100)/200*1/4*24/(-9).
1/3
Calculate (64/(-112))/(24/60).
-10/7
What is (77/(-539))/((-30)/35)?
1/6
What is the value of 5/((-3)/3) - 13/(-2)*1?
3/2
(52/(-442))/(1/(-3))
6/17
305/(-50) + 6 - 102*(-5)/100
5
(1 - (-18 + 24 + 2 + -7)) + 2
2
What is the value of -1*74/(-28) + ((-798)/28 - -27)?
8/7
4/(-60)*(-5 + -1)*40/(-12)
-4/3
What is (172/(-7) - -8) + (-80)/(-5)?
-4/7
Calculate (-1080)/(-70) + -2 - 9/(126/(-8)).
14
What is the value of (-3555)/20145 - (-218)/(-17)?
-13
Calculate (-30)/(-10)*(-37)/222.
-1/2
Calculate (-8)/(-5)*(65/(-234) - 14/63).
-4/5
What is 0 + (77/44 - 2)/4?
-1/16
Evaluate 2/19 - (29 + (-151450)/5225).
1/11
Calculate (18/9 - -7)*((-170)/45 - -4).
2
Evaluate -1 + 26/(-40) - ((-738)/(-45))/(-41).
-5/4
Calculate (0 + 1)*((-4048)/(-414) + -10).
-2/9
What is -24 + (-17 - -36) + (-1 - 1)?
-7
What is (-4)/50 + (-282690)/10125?
-28
What is (-721)/206*((-10)/14 + 2 + -3)?
6
Evaluate (7/2)/(-7) - 4 - (33 - 36).
-3/2
Calculate ((-378)/(-420)*-25)/(-8 - 9/(-3)).
9/2
Evaluate -11 - (-28 - 5) - 10 - 0.
12
What is the value of 8128/(-4352) + 14/8?
-2/17
What is the value of 144/252*(62 - 34)?
16
What is (-13)/312*(-12 - -14)?
-1/12
What is the value of (-2124)/2832*(2 - 38)?
27
What is (-384)/112 - (61 - 65)?
4/7
What is 3/36*10 - 3782/(-732)?
6
Calculate 9 - (1053/39 - 46).
28
Calculate 26/4*1062/767.
9
What is 423/282*(-3 + 1)?
-3
What is ((-14)/4 - -2)*(-6624)/(-16560)?
-3/5
(-27 + 6468/242)*(-2)/6
1/11
Evaluate (155/20 - 8 - 8)*12/(-9).
11
What is the value of 2 + -13 - (-1156)/102?
1/3
Calculate (4/(-5))/((-1078)/70 - -11).
2/11
Calculate (0 + 1)*-1*(-720)/(-90).
-8
Calculate 9 + (4/(-14))/(29/928).
-1/7
Calculate (-19)/((-7695)/(-306)) - (0 - (-32)/(-40)).
2/45
((-22)/(-264))/(-6 + (-171)/(-27))
1/4
Evaluate -69 - -72 - ((-1)/3)/((-65)/615).
-2/13
12/17 - 150/3825
2/3
What is ((-42)/54)/(-7)*(0 - 4 - 2)?
-2/3
Evaluate (29 - (-7866)/(-270))/(8/(-10)).
1/6
What is the value of 68*(6 - 188/32) - 8?
1/2
What is 5/6*((-637)/70 + (-107 - -117))?
3/4
Evaluate 38/(27 - 407) + 66/260.
2/13
What is the value of (-15)/26 + (1 - -11 - 46/4)?
-1/13
What is (-8)/(-12) + 74/(-60) - 2196/(-3294)?
1/10
What is the value of 10*((-25)/10 + 3) - 310/50?
-6/5
What is (-620)/(-44) - 1296/1188?
13
Evaluate (1036/525 - 2)/(5/(-25)).
2/15
144/704 - 5/(-110)
1/4
Evaluate (-7)/(140/(-8))*355/(-1349).
-2/19
What is (13/39)/((-12)/36)?
-1
266/(-588) - 17/(-476)
-5/12
Calculate ((-380)/16)/19 + 94/(-8) + 0.
-13
Evaluate (19 - (-43)/(-2))*2 + 31.
26
Calculate ((-27)/6561)/((-3)/(-6))*-9.
2/27
What is 126/(-351)*-33 + (-84)/(-546)?
12
What is the value of (-189)/27 - (238/(-30) - (-5)/15)?
3/5
Calculate ((-174)/(-42) + -4)/(16/14)*-2.
-1/4
Evaluate 25/10*306/85.
9
Evaluate ((-36)/21)/(-4) + (-8)/(-140)*10.
1
Calculate 5/1*-1 - (275/88 + -8).
-1/8
Calculate (-9 + 3 - 3)/((-72)/(-48)).
-6
Calculate (-819)/43 - (-2350)/50525.
-19
What is (3 - -1)*(1580/208 + (-2)/(-13))?
31
What is the value of ((1848/(-110))/(-12))/((-1)/(-5))?
7
What is (57 - 69)/((-12)/(-24))?
-24
What is the value of ((-12)/105)/((-368)/644)?
1/5
What is the value of (-1)/(11/145) + (-210)/(-1155)?
-13
What is the value of 10 - ((552/(-93))/(-1) + 4)?
2/31
Evaluate (-8964)/(-1404) - (-15)/(-39).
6
Evaluate (21/(-84))/(0 - (-3)/(-3)).
1/4
46/45 + 10*24/(-300)
2/9
2080/390*(((-90)/8)/(-5) + -3)
-4
Calculate (-11)/(-5)*(-126)/(-70) + (16 - 20).
-1/25
What is the value of 3*((-3600)/(-189))/(-50)?
-8/7
What is the value of (-4 + 18)/28*(-16)/(-2)?
4
6/69 - (-268056)/6716
40
Calculate -19 - (-67 + 71 - (10 - -1)).
-12
Evaluate ((-420)/(-36))/35*153/3.
17
Evaluate (28 + -25)/(2*(-138)/(-4)).
1/23
What is the value of -1*-1*6 | {
"pile_set_name": "DM Mathematics"
} |
4*k = k + s for k.
2
Suppose 4*a + u - 796 = 0, 3*a - 2*u = -9 + 617. Suppose 0*z = -10*z + a. Solve -3*i + z = 5 for i.
5
Let f(q) be the third derivative of -q**4/24 + q**3/6 - 2*q**2. Let n be f(-5). Suppose -6 = -4*g + n. Solve 6*i = g*i + 3 for i.
1
Let h(u) = -2*u**2 - 4*u**2 + 15*u**2 - 3*u + 2*u + 13 - u**3. Let m be h(9). Solve -m*l = -2*l + 2 for l.
-1
Let d(t) = -t + 12. Let k be d(3). Let p be 6/k*(-12)/(-2). Solve -4 = p*n - 0*n for n.
-1
Suppose -5*p = -5*l - 70, 2*p + 0*p - 4 = -4*l. Solve 4*r = -r + p for r.
2
Let p be -2*15/((-105)/28). Solve p = -4*g - 4 for g.
-3
Let i be 2*(-2)/(-1 + -1). Let b = 0 + i. Let f(v) = 4*v - 15. Let l be f(5). Solve 0 = -b*s - l + 1 for s.
-2
Let b(c) = 8*c + 82 - 2*c - 110. Let p be b(5). Solve p*t = 1 - 9 for t.
-4
Let o(y) = 74*y + 817. Let g be o(-11). Solve g*m - 1 = 11 for m.
4
Let r be (-231)/((-4)/(10 - 6)). Solve r*o = 226*o for o.
0
Suppose 5*u - 3*u = 6. Suppose 52*i - 47*i + 22 = 2*f, -76 = -5*f + 2*i. Suppose 24 = 3*o + l + 1, -6 = -2*o + 4*l. Solve -o*x = -u*x + f for x.
-4
Let q(n) = n**3 + 22*n**2 + 101*n + 24. Let b be q(-7). Solve -b = 11*u + 2*u for u.
-4
Let m(t) = -t**3 + t**2 - 4*t + 2. Let i(p) = -p**3 - 2*p - 1. Let q(h) = 2*i(h) - m(h). Let v be q(-2). Solve -z - z = v for z.
0
Let r = 1 + 1. Let o = -110 + -10. Let x = 145 + o. Solve -3*q = r*q - x for q.
5
Let r(x) = -x - 22 + x - 3*x. Suppose 13*q = 36 - 153. Let c be r(q). Solve -c*z = -0*z - 15 for z.
3
Let a = -647 - -684. Solve 18*o - a = -1 for o.
2
Suppose 5 + 23 = 7*x. Let m(o) = o**3 + 3*o**2 - o. Let r be m(-3). Suppose 4*y - r*y = 0. Solve 2*z = -y*z - x for z.
-2
Suppose -f - 4*f = 0. Suppose -5*p - 4*z + 32 = 0, f = -4*p + 3*p - 3*z + 13. Solve -t = -p*t + 15 for t.
5
Let o be (5 - 3) + 0/9. Suppose -2*u + 4*l = o*l - 18, 5*u + 2*l - 17 = 0. Solve -u*d + 8*d - 6 = 0 for d.
2
Let r(k) = k**2 + 38*k + 136. Let j be r(-34). Solve 4*o - 9 - 7 = j for o.
4
Suppose -8*a = -0*a. Solve 0 = f - a*f - 4 for f.
4
Let c be (4 - 2)*(-12)/(-8). Let s = -120 + 168. Suppose -2*y + s = 2*y. Solve -y = c*p - 0 for p.
-4
Let t(j) = -4*j**3 + j**2 - j - 1. Let m be t(-1). Let o(u) = -4*u**2 + 2*u + 1. Let q be o(-3). Let k = 61 + q. Solve 3*a + k = m for a.
-5
Let x be (34/(-4))/((-96)/192). Solve -x - 5 = -11*w for w.
2
Let w be ((-3)/(-1))/((-6)/4). Let i be w/(-7) - (-2)/(-7). Let h = -31030 + 31035. Solve h*x + 3 - 13 = i for x.
2
Suppose d + 0*d = 2. Let p(u) = u**2 + 7*u + 6. Let v(a) = -a**2 - 7*a - 5. Let i(h) = -7*p(h) - 6*v(h). Let w be i(-4). Solve 10 = -w*k - d*k for k.
-5
Suppose k = 2*k. Suppose k*i + 5*i = 0. Solve c + 0*c + 2 = i for c.
-2
Let y = -47 + 55. Solve -y + 18 = -2*k for k.
-5
Let k(c) = c**2 + 5*c + 8. Let p be k(-6). Suppose -h + 2*q = -11, 4*q + p = 2. Let f = 24 + -6. Solve 7 + f = h*b for b.
5
Let j be -4*147/(-72) - 3/18. Solve -9*u + 13*u = j for u.
2
Suppose -u + 5 = 4*n, 0 = -4*u + 20. Solve 2*w - 3 - 1 = n for w.
2
Let v be (0 - 3) + (-8)/(-1). Suppose -v*b - 27 = -8*b. Suppose -12 = -11*r + b*r. Solve 2 = 2*g - r for g.
4
Let k be 24/4 + (-2 - 0). Let p(t) = -t**2 - 12*t + 65. Let o be p(-15). Solve -8*q = -k*q - o for q.
5
Let h(b) = 3*b**2 + 4*b + 13. Let l be h(-2). Solve -l = 3*m - 2 for m.
-5
Suppose 0 = -11*l + 18*l - 42. Suppose -7*s = -l*s - 2. Solve -4 + s = -2*t for t.
1
Suppose -49 = -5*b + 2*z - 11, 0 = 3*b - 5*z - 38. Solve -2*n + b*n = -20 for n.
-5
Let t be (1 + -1)/(14/(-7)). Suppose t = 4*q + 3*u - 2*u - 37, -5*q + 56 = -2*u. Solve 0 = -3*r - 2*r - q for r.
-2
Suppose -3*l - 5 = -4*u - 40, 5*l = 4*u + 69. Solve 4*h + 29 = l for h.
-3
Suppose -48 + 72 = 4*a. Solve -a*c + 0 = 6 for c.
-1
Let r(q) = -5*q**2 - 1 + 3 - 39*q**3 - 2*q + 38*q**3. Let z be r(-4). Let b(o) = o**3 + 7*o**2 + 3*o + 5. Let m be b(z). Solve 0 = -5*k - 2 - m for k.
-5
Let y(z) = z**3 - 19*z**2 - 16*z - 47. Let p be y(20). Solve -5 = 38*g - p*g for g.
-1
Suppose 0 = 6*i - 0*i - 12. Solve -4 = 6*h + i for h.
-1
Let q = 7 + 8. Solve -q*v = -11*v + 8 for v.
-2
Let m(y) = -20*y**3 + 32*y**2 + 35*y + 17. Let k(g) = -7*g**3 + 11*g**2 + 12*g + 6. Let l(u) = -17*k(u) + 6*m(u). Let d be l(6). Solve 0*b - 3*b + 3 = d for b.
1
Let s = -1517 + 1552. Solve 0 = 8*o - 75 + s for o.
5
Let z = -102 - -110. Solve z*h = 4*h + 4 for h.
1
Let i(n) = n. Let d be i(2). Suppose -5*p + 9 = -2*a + 1, 4*a + d = 3*p. Suppose 2*f + 5 = -p*t + 7*f, 0 = t - 3*f + 3. Solve -2*b = -t*b for b.
0
Suppose -f - 4*n = -10, 0*f + 3*n = 2*f - 31. Let x(r) = -2 - 3 - 13*r - 6 + 14*r. Let l be x(f). Solve -2*q - l*q = 0 for q.
0
Let b = -171 + 182. Suppose 3*r - r - 5*d + 6 = 0, -4*r + d = -6. Let l = b + r. Solve 5*t + 3 = l for t.
2
Let v(c) = c**2 + 7*c + 1. Let g be v(-7). Let h = -2 + 4. Let w = -36 + 43. Solve h*n = -w - g for n.
-4
Suppose -2*y = 4*b - 2, -13*y - 3*b - 6 = -14*y. Suppose 0*t = t - 4. Suppose t = m + y. Solve 3 + m = n for n.
4
Let f(b) = 2*b**2 - 21*b + 50. Let r be f(3). Solve 10*k = r + 5 for k.
1
Let h(x) = -x**2 + x + 2. Let f be h(2). Suppose w - 4*v = -1, -5*w = -0*v - 5*v - 10. Solve f = -8*g + w*g for g.
0
Let g = -127 + 128. Suppose -3*a - g + 7 = 0. Solve -6 = 4*x - a for x.
-1
Let d(f) = 6*f**3 - 1. Let a be 3/9 + 2/3. Let g be d(a). Let u be (2 - (-32)/(-20))/(1/10). Solve -g = -u*o + 3*o for o.
5
Suppose -u + 17 - 13 = 0. Suppose -5 = -2*s + 2*v - 1, -u*s + 26 = 5*v. Solve 2*m = -s - 0 for m.
-2
Suppose 0 = -3*q + 13 + 14. Let a be 52/(-6) - 4/(-6). Let v = a + q. Solve 4*m - 3*m = v for m.
1
Let r be 3/7 - 20943/(-819). Solve -10*v - r = 3*v for v.
-2
Let x be 2/(-4)*2*-4. Let y be 0/(6/3)*(-3)/3. Let s be (-1 - 1 - (y + -3))*10. Solve t - s = -x*t for t.
2
Suppose 11 = -3*i - 4*j, 5*i - 2*j - 22 = i. Suppose 11*k - 5*k - 6 = 0. Solve i + k = -4*h for h.
-1
Let z(f) = -f**2 - 5*f + 3. Let o be z(-4). Let q(n) = -n + 10. Let p be q(o). Suppose p*h = h + 40. Solve u - h = -4*u for u.
4
Let z(v) = 21*v**3 - 2*v**2 - v + 2. Suppose s = 4*s - 3. Let q be z(s). Suppose 4*k + 2*m = m - 4, -5*k = 4*m + 16. Solve q = 5*r - k*r for r.
4
Let a = -6 + 26. Let q = a - 20. Solve g - 6*g - 20 = q for g.
-4
Let w(h) = -13*h + 837. Let a be w(64). Let x(c) = c**2 - c - 4. Let d be x(5). Solve -a*v - d = -v for v.
-4
Suppose 18*h - 486 = -0*h. Solve -h*l = -23*l - 20 for l.
5
Let h = -12 - -17. Suppose 0 = 10*z - 5*z - h. Solve 13 = 3*k + z for k.
4
Let c be -1 + 5 - (-3)/3. Let w = -157 + 161. Solve c*d - 4 = w*d for d.
4
Let k(s) = -s**2 + 13*s - 10. Let c be k(12). Let d be 45/12 + c/8. Solve 2*y = y + d for y.
4
Let y be (-9)/(18/(-4)) - -2. Suppose y*h = -4*t + 8, -2*t + 4 = -3*h - 0*h. Solve t - 1 = -u for u.
-1
Suppose -1 = t, 0 = -2*j - 392*t + 390*t + 6. Solve p = j - 3 for p.
1
Let a(b) = -5*b - 3. Let r(f) = 4*f + 3. Let g(s) = -5*a(s) - 6*r(s). Suppose -34 = -2*l - 4*c, -1 = l - 3*c + 7. Let z be g(l). Solve 3*n = -n - z for n.
-1
Let z be -2 - (-3)/((-21)/(-14)). Solve -f + z = -2 for f.
2
Suppose 0*k + 4*k + 3*g = -14, -3*k - 4*g - 14 = 0. Let a = 1 - k. Solve -a*t + 5 = -1 for t.
2
Suppose -7*t + 8474 - 7557 = 0. Solve t*z = 132*z for z.
0
Suppose -4*q = 3*o + 411 - 1305, -2*q - 10*o = -464. Solve -q*n - 12 = -218*n for n.
-3
Let c(a) = 2*a**3 + 7. Let i be c(0). Solve -1 - i = -2*w for w.
4
Let d(f) = -2*f**3 - 6*f**2 - 2*f. Let r(v) = -v**3 - v**2 + v + 1. Let z(k) = -d(k) + r(k). Let l be z(-3). Let o = 2 - 2. Solve o = 4*c + l + 2 for c.
-3
Let d(i) = -3*i**3 + 2*i**2 + i + 6. Let c(j) = -j**3 + 1. Let v(z) = -4*c(z) + d(z). Let x be v(-2). Solve x*n - 5*n = 25 for n.
-5
Let l be -1*1 + 9 + -6. Suppose k = -n + 5*k, 0 = -l*n - 4*k. Suppose f = -n*f + 6. Solve -s = -3*s + f for s.
3
Let n = 148 - 138. Solve 4*y + n = -y for y.
-2
Let f(x) = -x**3 - 9*x**2 - 7*x + 10. Let g be 12 - 16 - 2*2. Let d be f(g). Solve d*v - v - 3 = 0 for v.
3
Let c = 17 - 16. Suppose 5*w + c = 26. Suppose 0 = -3*i - w + 20. Solve 2*x = x + i for x.
5
Let t be 4*-1 + 2 - -2. Let o = 1 + t. Let v(k) = -7*k - 21. Let f be v(-4). Solve -2*x + o = -f for x.
4
Suppose -2*j = -5*j. Suppose -13*c + 10*c = j. Suppose 5*h + 10 = 0, c = d + h - 2. Solve d = -3*g - 8 for g.
-4
Let t(x) = x**2 + 4*x - 3. Let u be t(-5). Let n be ((-1726)/(-1726))/(1/(-2) - -1). Solve u*g + 0 = n for g.
1
Suppose 53 = -4*t - 3. Let q be (-2 - t)/(2/(-2)). | {
"pile_set_name": "DM Mathematics"
} |
h.
-393
Rearrange 11491*t**2 - 23037*t**2 + 11075*t**2 + 3*t**2 + 2*t**2 - 2*t**2 + (2*t - 4*t + 3*t)*(t + 0 + 0) to the form d*t**2 + q + h*t and give d.
-467
Rearrange (-810 - 776 + 863)*(4*y - 380 - y**2 + 380) to the form r*y**2 + b*y + o and give b.
-2892
Rearrange -2*y**3 + 149*y + 4 - 29*y**4 - 3 + 14*y**2 + 144*y - 436*y + 142*y to t*y**4 + l*y**2 + k*y + p + h*y**3 and give h.
-2
Express -21*v - 51 + v**2 + 44*v**4 - 3*v**2 - 50*v**4 + 7*v**4 + 3*v**2 as p*v + i*v**3 + h*v**4 + z*v**2 + x and give h.
1
Rearrange 21*i**2 + 16*i + 398*i**3 - 2*i + 9 - 22*i**2 - 198*i**3 - 204*i**3 to the form r*i + j*i**3 + z*i**2 + l and give j.
-4
Rearrange (-3 + 60*j + 3)*(-83 + 148 + j - 9) to l*j**2 + x + z*j and give l.
60
Rearrange 2 + 338*v**2 + 332*v**2 + 904*v + 335*v**2 + 1 - 1003*v**2 to the form c*v + g + q*v**2 and give q.
2
Express 47 + 8 + a**3 - 2*a - 56 - 6*a**2 + 7*a**4 in the form i*a + f + d*a**3 + w*a**4 + t*a**2 and give w.
7
Rearrange 503*d**2 + 5*d + 11*d + 15*d - 35*d + 2 + 5*d to l + c*d + p*d**2 and give l.
2
Rearrange 17*c**2 - 6058 - 235*c**2 + 220*c**2 to j + h*c**2 + a*c and give j.
-6058
Rearrange -102 - 86*j**2 - 90*j**2 - 222 + 173*j**2 to the form d + l*j**2 + t*j and give l.
-3
Rearrange -103*s**3 + 259*s**3 + 2*s**2 + 1 - 118*s**3 - 2 to the form c*s**2 + a*s + q*s**3 + d and give c.
2
Rearrange (-m**2 + m**2 + 3*m**2)*(-137 - 4*m + 1 + 12) + 2*m**3 - 6*m**3 + m**3 to the form x*m + r + t*m**3 + v*m**2 and give v.
-372
Rearrange (q - 3*q - q)*(79*q**3 - 194*q**3 - 226*q**3) to the form f + j*q + b*q**2 + c*q**4 + g*q**3 and give f.
0
Express (3*x**2 - 6*x**2 + x**2)*(-24444 + 39*x + 24444) - 175*x + 5*x**3 + 175*x in the form u + r*x + n*x**2 + z*x**3 and give z.
-73
Express 0*o**2 - 31*o**2 - 364*o + 4*o**2 + 10*o**2 + 14*o**2 as i*o + k*o**2 + a and give k.
-3
Express -122 + 379 - 127 + 9634*n - 130 in the form y + u*n and give u.
9634
Express 133*t - 364 - 418*t + 2*t**2 + 140*t + 125*t as z*t**2 + s + g*t and give s.
-364
Express -111*z + 116*z - z**3 + 6*z**3 - 49 + 15 - 36 as q*z**2 + x*z + g*z**3 + a and give g.
5
Rearrange 136593737*r - 30*r**2 - 136593737*r - 36 to the form q*r + y*r**2 + t and give t.
-36
Rearrange (616*m**2 + 427*m**2 + 606*m**2)*(1 - 5 - 2) + m - m + m**2 + (5*m + 0*m - 3*m)*(-1 + 2*m + 1) to c*m + h + r*m**2 and give r.
-9889
Express 332*w + 361 + 393 - 751 as a + r*w and give a.
3
Rearrange (1 + 2*v - 1)*(35*v**2 + 1113*v**2 + 409*v**2)*(v - 3*v - 2*v) to m*v + d + a*v**4 + x*v**3 + z*v**2 and give x.
0
Express ((1 - 1 - u)*(-4 - 1 + 4) + (-253*u + 11 - 12 - 116*u)*(1 + 2 - 1))*(u**3 - 2 + 2) in the form c*u**4 + n*u**3 + l*u**2 + z + x*u and give n.
-2
Express -49 - 44*x**2 - 41*x**2 - 422 + 137*x**2 - 50*x**2 in the form u*x**2 + t*x + m and give u.
2
Express (1 - 1 + q + q + 0*q - 2*q + (-2*q + 4*q - q)*(-1 - 3 + 2))*(-199*q + 72 + 126 - 198 - 866*q) as a + l*q**2 + f*q and give l.
2130
Rearrange 0*y - 64 - 120 - y + 7 - 57 to the form j + t*y and give j.
-234
Express -495196*z + 495195*z + 4*z**2 + 421 - 2*z**2 as t + u*z**2 + m*z and give u.
2
Express 23 + 396*r - 594*r - 9 + 311*r as i*r + j and give i.
113
Rearrange q**2 - q**2 + 2*q**2 + (0*q**2 + q**2 + 0*q**2)*(-2 + 1 + 2) + q - 7*q + 586 - 19163*q**2 + 19164*q**2 to the form v*q + k*q**2 + r and give v.
-6
Express 104*w - 302*w + 80*w - 37 + 66*w + 13 as a + g*w and give a.
-24
Express -116*z**3 + 27*z**3 - 2*z + 27*z**3 + 29*z**3 + 35*z**3 - 441 as q + i*z**2 + o*z + d*z**3 and give d.
2
Express 484*h - 6068*h**2 + 6065*h**2 + 67*h in the form o + j*h**2 + x*h and give j.
-3
Express 119206*s**3 - 6271*s**2 + 18828*s**2 - 6275*s**2 - 6282*s**2 + (-3*s + 0*s + 4*s)*(-4*s**2 - s**2 + 4*s**2) as l*s + z + f*s**3 + m*s**2 and give f.
119205
Rearrange (-4*w**2 + 3*w**2 - w**2)*(-2 - w + 2) - 5*w**3 + 3*w**3 + w**3 + 158545*w**3 + 3 - 152174*w**3 - 3 to the form l*w**2 + h*w + y + d*w**3 and give y.
0
Express 1188 - 399 + 107*q**3 - 398 - 31*q**3 - 392 - 30*q in the form r*q + k*q**2 + s + v*q**3 and give v.
76
Express -1 + 4570*q - 3666*q + 1937*q + 4549*q as a*q + h and give h.
-1
Rearrange -2*f + 10*f**4 - 51 - f**2 + 94 + f**4 - 41 + 11*f**3 to the form k*f + i + w*f**2 + o*f**4 + c*f**3 and give i.
2
Express (3*o + o - 2*o)*(34*o + 24*o**2 - 34*o) + (4*o**2 - 4*o**2 - 2*o**2)*(21*o - 47*o - 35*o) as j*o**3 + t + x*o**2 + v*o and give j.
170
Express -4 + t + 30*t**4 + t - 32*t**4 - 94*t**4 + 2*t**2 in the form q*t + i*t**3 + r + l*t**2 + c*t**4 and give q.
2
Rearrange (-7*j**3 - 37*j**3 + 163*j**3)*(-61*j + 32*j - 15*j) to a*j**3 + p*j**4 + b*j**2 + k + f*j and give p.
-5236
Express 454337*j**4 - 908682*j**4 - 2*j**3 + 454338*j**4 - 8*j**2 - 4*j in the form f + t*j**2 + n*j + u*j**4 + x*j**3 and give x.
-2
Rearrange (1 + 6*i - 1)*(704*i + 197*i - 57*i + (-6 + 3 + 1)*(4 - i - 4)) to the form q*i + h*i**2 + w and give h.
5076
Rearrange (5*m - 34 + 34 + (0 + 1 + 0)*(-m + 3*m - m) + 114*m + 15*m + 28*m)*(0 - 2 + 0)*(m - m + 2*m) to s*m**2 + r + c*m and give s.
-652
Express (-n + 6*n - 4*n + (0 + 1 - 3)*(-2*n + 1 - 1))*(-198 + 3084*n - 1531*n - 1520*n) as j + h*n**2 + i*n and give j.
0
Express (-1 + 1 + y**2)*(-4*y - 6*y - 4*y) + (-4*y + 6*y - y)*(-7 + 8 - 1 - 495*y**2) in the form o*y + r + f*y**2 + m*y**3 and give m.
-509
Rearrange ((-38 - 144 + 30)*(-s**3 + 2 - 2) + 13*s**3 + 14*s - 14*s)*(-2 - 7 - 4) to h*s**3 + x*s + k + r*s**2 and give k.
0
Express (-8*d - 47 + 3*d - 60 - 3 + 2*d)*(-94*d - 19*d - 57*d) in the form q*d + b*d**2 + p and give q.
18700
Rearrange -95*a**4 + 2*a**2 - 1 + 1 - 56*a**4 + 2094*a - 2078*a to the form c + z*a**3 + v*a + g*a**4 + s*a**2 and give g.
-151
Rearrange -7*g**2 + 8391 - 4377 - 4903 - g + 3*g to b*g + c*g**2 + j and give c.
-7
Rearrange (-d**3 + 4*d**3 + 4*d**3 - 1 + d**3 + 1 + (0 - 1 - 5)*(9*d**3 + 18*d**3 + 14*d**3))*(3 + 0 - 1) to o*d**2 + m*d + q + b*d**3 and give b.
-476
Express (-2154 - 630 - 3475 - 1025 + (1 + 0 - 3)*(0 - 1 + 3) - 2 + 5 - 2)*(3*k + 0*k - k) as v + n*k and give n.
-14574
Rearrange 9217 + 8286*a - 4636 - 4581 to the form x + u*a and give u.
8286
Rearrange -1426*v - 1431*v + 2863*v + 255 to g*v + j and give j.
255
Rearrange 2712*r - 109 + 11255*r + 109 to i + b*r and give b.
13967
Rearrange (3 + 5 - 4)*(3 - 4417457*u + 4418737*u + 3)*(-1 + 5 - 3) to y + b*u and give b.
5120
Express -204 + 623 - 211 + 105*t**2 - 13*t - 206 as z*t**2 + l + g*t and give z.
105
Express 28*f + 20 + 20 + 3 - 5*f - 7 in the form q + c*f and give c.
23
Express (1 - 3 + 3)*(74307*s + 122 + 79 - 74317*s) as x*s + c and give c.
201
Rearrange -q - 28227*q**3 + 0*q + q**2 + 25217*q**3 to p*q**3 + j*q + u*q**2 + k and give u.
1
Rearrange -8 + 25*j**3 + 4*j**2 + 21*j**3 - j**4 + 3*j**4 + 18*j**3 - 74*j**3 to the form z*j + t*j**2 + q*j**3 + h*j**4 + x and give x.
-8
Rearrange -393*h**3 - 337*h**3 + 2 + 2*h**2 - 63*h**4 + 737*h**3 to d*h**2 + k*h**4 + a*h**3 + v + c*h and give v.
2
Express -8*q**2 + 18*q**2 + 2*q**2 - 7*q**2 - q - 19*q**3 - 8*q**2 as j*q**3 + d + r*q**2 + o*q and give r.
-3
Express 0 - 4*s**2 + 0 + (-1654*s + 846*s + 870*s)*(-2 + 1 + 4)*(0*s + 2*s - 3*s) in the form g*s**2 + f + k*s and give g.
-190
Express 1001*j + 1878*j + 3139*j - 824*j in the form b*j + m and give b.
5194
Express (2 - 2 - 2*o**2)*(5 - 8 - 43) - o**2 - o**2 + 3*o**2 + (0 + 0 + 2*o)*(-1 + 1 + o) + 16*o**2 + 13*o**2 - 26*o**2 as c*o**2 + m*o + a and give a.
0
Rearrange -70285 + 140575 - 3*p**3 + 2*p**2 - 329*p - 70292 to the form f*p**2 + l*p**3 + k + s*p and give f.
2
Express (0*y + y + y)*(-3*y**2 - 12*y + 12*y) + 29*y**3 + 121*y - 123*y - 31*y**3 as u*y**3 + b + s*y**2 + h*y and give u.
-8
Rearrange -1 - 4 + 808322*k**2 - 812265*k**2 + 5 to the form p*k + q*k**2 + z and give q.
-3943
Rearrange g**2 - 4*g**2 - 17 - 3*g**2 + 2*g - 4*g**3 + 2*g**4 + 10*g**2 + 2*g**3 to i*g**4 + q + x*g + l*g**3 + b*g**2 and give b.
4
Express -12*l**3 + 3 - 321076*l**4 - 2 + 321121*l**4 + 2*l as p*l**3 + y*l + k*l**2 + f + d*l**4 and give y.
2
Express -2*j + 4549 - j**2 - 13577 + 4511 + 4560 + 2*j**3 - 22*j**4 as z*j + b*j**2 + s + h*j**4 + v*j**3 and give v.
2
Rearrange (-m + 5*m - 3*m)*(-4 + 6 + 0)*(-84 - 27 - 205) to the form h + t*m and give t.
-632
Express -3060*n - 24 + 36 - 7 - 5 as f*n + x and give f.
-3060
Rearrange m - 4*m + | {
"pile_set_name": "DM Mathematics"
} |
*s**3).
5*s**5
Expand (-4*k + 4*k + 12*k**3)*(0 - 1 + 3).
24*k**3
Expand 2 - 2*g - g + 6*g + (3*g - 5*g + 4*g)*(-1 - 4 + 4).
g + 2
Expand (l**3 - l**3 + l**3)*(l - 3*l + l)*(-5 + 4 + 2 + (3 - 1 - 3)*(2 + 0 + 0) - 3 + 2 + 0).
2*l**4
Expand -2*n - n + 2*n + (1 - 4 + 5)*(-8*n + 6*n - 8*n).
-21*n
Expand -d**5 + 26*d**5 - d**5 + (0*d**4 - 5*d**4 + 4*d**4)*(0*d + 2*d + 0*d) + (-2*d - 3*d + 3*d - 1)*(d - d + d**4).
20*d**5 - d**4
Expand 4*a**5 - a**5 - a**5 + (-1 - 3*a - a**4 + 3*a)*(-2*a - 2*a + 2*a).
4*a**5 + 2*a
Expand (3 - 1 - 3)*(5*m - 7 + 7)*(-m - 51 + m**3 + 51) - 2 + 2 - 2*m**4.
-7*m**4 + 5*m**2
Expand (3 - q - 3)*(1 + 2*q + 0*q - q).
-q**2 - q
Expand (-i + 0 + 0)*(3 + 11 - 2*i + 1).
2*i**2 - 15*i
Expand (18*q - 4*q**3 + 2 + 0*q**3 - 20*q)*(-q + q + 2*q).
-8*q**4 - 4*q**2 + 4*q
Expand 5*z**3 - 7 + 7 + (-4*z + 4*z - z**2)*(-4*z + z + z).
7*z**3
Expand 1 - 1 - z**2 + (-1 + 1 + 2*z)*(8 + 8*z - 8)*(-4 - 2 + 4).
-33*z**2
Expand (-8 - 7 + 11)*(-4*i + 4*i - 2*i + (0*i - i - i)*(-1 + 6 - 3)) + 4*i + i - 3*i.
26*i
Expand (-2*w + 3*w - 4*w + 2)*(-5*w**4 + 0*w**4 + 2*w**4).
9*w**5 - 6*w**4
Expand (-4*d - d**2 + 4*d + (2*d + 3 - 3)*(-3*d + 2*d + 3*d) + d**2 - 2*d**2 + 2*d**2 + 20*d**2 - 18*d**2 - 9*d**2)*(-1 + 2*d**2 - 2*d**2 - 2*d**2).
6*d**4 + 3*d**2
Expand (u - 3*u + u)*(u + 3*u - 5*u) - 4*u**2 + 3 - 3.
-3*u**2
Expand -7*n**2 + 3*n**2 - 8*n**2 + (2*n + 0*n - 4*n - 3 + 3 + n + (4 - 2*n - 4)*(3 - 2 + 1))*(2*n - 5*n + n).
-2*n**2
Expand -25*p**5 + 18*p**5 - 16*p**5 + (2*p**4 + 3*p - 3*p)*(p - 3*p + 4*p).
-19*p**5
Expand (-1 + 7 - 1)*(0 + q + 0) + 4 - 3*q - 4 - 1 + 1 + q + (4 - 1 - 1)*(1 + q - 1) - 3*q - 3*q + 4*q.
3*q
Expand -2*z**3 + 323*z**2 - 316*z**2 - 9*z + 1 + 8*z + (z**2 + 0*z**2 + z**2)*(2*z - 4 + 4).
2*z**3 + 7*z**2 - z + 1
Expand (0*f - f + 3*f)*(f**3 - f**3 + f**4) + (5*f**3 + 5*f**3 - 6*f**3)*(-3*f**2 + 3*f**2 + 2*f**2) - 2*f**5 + f**4 - f**4.
8*f**5
Expand (12*z - 11*z + 13*z)*(-z + 3*z + 0*z).
28*z**2
Expand 3*i - 3*i - i + 7*i - 17*i - 5*i + 4*i + 0*i - 2*i + (-4*i - 4*i + 6*i)*(-4 - 2 + 5) + 5*i - 3*i + 0*i + 2*i - 2*i - 2*i.
-12*i
Expand (1 - 3*l - 1)*(4*l + l - 4*l)*(-l**3 + 6*l**2 - 6*l**2).
3*l**5
Expand 215*p + 15*p**4 + 11*p**4 - 213*p + (-1 + 1 - 1)*(-2*p**4 - p**3 + p**3) + 0*p + 0*p + 2*p**4.
30*p**4 + 2*p
Expand (8*g**2 - 3*g**2 + 3*g**2)*(g**2 + 0*g - 2*g - 3*g**2) - g**2 + g**2 - 2*g**4.
-18*g**4 - 16*g**3
Expand (3 + 2*g**2 - 3)*(g - g - 2*g)*(-g**2 + 3*g**2 + 0*g**2) - g**5 + g**5 - 3*g**5.
-11*g**5
Expand (-33 + 33 - 16*b**2)*(-5*b**3 + b**3 + 2 - 1).
64*b**5 - 16*b**2
Expand (5*n - 2*n - 8*n)*(0*n**2 + 3*n**2 + n**2) + (-3*n**2 + 3*n**2 + 2*n**2 + 2*n**3)*(2 - 1 - 2).
-22*n**3 - 2*n**2
Expand (0*u**2 - u**2 + 2*u**2)*(-u + 1 - 1) - u**3 + 3*u**3 - 3*u**3 - 1 - 2*u**2 - u**3 + 1.
-3*u**3 - 2*u**2
Expand (-2 - 4 + 3)*(4 - 3 - 3)*(-j**3 + 5*j + 0*j**3 - 6*j).
-6*j**3 - 6*j
Expand (42*x + 67*x + 3*x)*(2*x**2 + 3*x**2 - 6*x**2).
-112*x**3
Expand (0*i + 0*i - 2*i**2)*(i - 2 - 2*i - 2).
2*i**3 + 8*i**2
Expand (2*h - 7*h - 2*h)*(-h**4 + 0*h**2 + 0*h**2).
7*h**5
Expand (1 + 3 - 1)*(3 - 3 + s**2) + s**2 + 2*s - 2*s + (2*s - 3*s + 0*s)*(0*s + 2*s - s) - 4*s**2 + 2*s**2 + s**2.
2*s**2
Expand (2*r**2 + 3*r**3 - 2*r**2)*(r**2 - 4*r**2 + 0*r**2).
-9*r**5
Expand t + t - t + (-2*t - t - t)*(-2 - 2 + 2).
9*t
Expand (-2 + 2 + 2*q)*(-3*q**4 - 4*q**4 + q**4) - 3*q**2 + q**5 + 3*q**2.
-11*q**5
Expand (5*a - a - a)*((1 - 1 - a)*(-3 - 4 + 6) + 3 - 3 - 2*a - 2*a - 3*a + 3*a).
-9*a**2
Expand 14*m**4 + 8*m**4 + 6*m**4 + 5*m**4 + 0*m**4 - 2*m**4 + (-m + 4*m - m)*(2*m**3 + 2*m**3 - 6*m**3) - 2*m**4 - 2*m**4 + 3*m**4.
26*m**4
Expand (1 - 1 + 1)*(1 - 1 + 2)*(-4 + i + 4)*(-3*i + 8*i + 2*i).
14*i**2
Expand (-2 + 1 + 0)*(-b**3 - b**3 + 4*b**3)*(b - b - 2*b**2) + 2*b**5 - 2*b**3 + 2*b**3.
6*b**5
Expand 3*a**5 + 4*a**5 - 5*a**5 + (-3*a**5 + 0*a**5 + 4*a**5)*(2 + 1 + 0).
5*a**5
Expand (1 + 3 + 1)*(3 - 1 + 0)*(-1 - 1 + 0)*(2*l**4 - 4*l**4 + 0*l**4).
40*l**4
Expand -3*v + v - 5 + 4 + (3*v - 2 + 2)*(3 + 1 - 5).
-5*v - 1
Expand (-2*s + 4*s + 5*s + (4 + 2*s - 4)*(0 + 0 - 1) - 4*s + 3*s + 3*s)*(-4*s + 0*s + 5*s).
7*s**2
Expand (4 - 3 - 4)*(3*q**3 - 3*q**3 - q**3).
3*q**3
Expand (3*z + z - 3*z)*(z**2 - 13*z**2 + 2*z**2) + (2*z - 5*z + 2*z)*(2*z**2 - 2*z + 2*z).
-12*z**3
Expand (-2*x**3 + 4*x**4 - x**4 + 3*x**3)*(-2 + 4 - 18).
-48*x**4 - 16*x**3
Expand (-z - z + 5*z)*(z**4 - z**4 - 2*z**4) - 3*z**5 + 6*z**5 - z**5 + 12*z**2 - 2*z**3 - 3*z**5 - 12*z**2.
-7*z**5 - 2*z**3
Expand (-c + 22 - 58 + 24)*(c - 2 + 2).
-c**2 - 12*c
Expand -2*s**5 - 2*s**5 + 8*s**5 + (0 - 2 + 0)*(s**5 - s**2 + s**2) + (7*s**4 - 4*s**4 - 4*s**4)*(0*s - 2*s - s).
5*s**5
Expand (5*f - 3*f - 3*f)*(3*f**3 - 2*f**3 + 5*f**2 - 2*f**2 + (0 - f**2 + 0)*(0*f + 2*f + 0*f)).
f**4 - 3*f**3
Expand (-2*x + 2*x + 10*x**2)*(4*x**3 - 4*x**3 - 2*x**3) - x**5 - 4*x**5 + 3*x**5.
-22*x**5
Expand ((-3*a + 3*a + a)*(4 - 3 - 2) + 13 - 13 - 2*a)*(7*a - a - 2*a + (4 - 2 + 0)*(1 - 1 + 2*a)).
-24*a**2
Expand (0*h**2 + 3*h**2 - h**2)*(43*h - 82*h - 6 + 38*h).
-2*h**3 - 12*h**2
Expand 19*c - 13*c + c**2 + 17*c + (c + 0*c + 0*c)*(2*c + 3*c - 3*c).
3*c**2 + 23*c
Expand (-161*l + 161*l - 11*l**2)*(0 - 3 + 2).
11*l**2
Expand (0 + 5 + 2)*(0*o - 3*o + o)*(0 + 1 - 4).
42*o
Expand (-5*w + 4*w - w)*(2*w + 2*w - 3*w + (2*w - 3*w + 3*w)*(4 + 1 - 4) + 2*w + 3 - 3 - 6*w + w + 4*w).
-8*w**2
Expand ((2 - 6 + 1)*(l - l - 2*l) - 4 + 4 - 2*l)*((-2*l + 0*l + 0*l)*(0 - 5 + 4) - l - 4*l + 4*l - 6*l + l - 4*l).
-32*l**2
Expand (3*m + 1 - 1)*(-19*m**3 - 1 + 12*m**3 + 6*m**3).
-3*m**4 - 3*m
Expand (-3*y**3 - y**3 + 3*y**3)*(6*y**2 - 12 - 5*y**2 - 2*y**2).
y**5 + 12*y**3
Expand 5 + 2*g - 5 - 3 + 3 + g + (3 - 6 + 4)*(0 + g + 0) - 2*g + 0*g + 3*g + (g + 3*g - 7*g)*(0 + 1 + 8).
-22*g
Expand (4*a - 3*a + 2*a)*(0 - 3 + 4)*(17*a**2 - 1 + 3 - 18*a**2).
-3*a**3 + 6*a
Expand -5*w**3 + 2*w - 2*w + (w + 3 - 3)*(-1 + 1 + 2*w**2).
-3*w**3
Expand w**4 - 3*w**4 + w**4 + (1 - 1 - 2*w)*((3*w**2 - 7*w**2 + 2*w**2)*(w + 3*w - 3*w) + 9*w**3 + 23*w**3 + 4*w**3).
-69*w**4
Expand (-1 - 2*x + 1)*(13*x - x - 2*x) + 3*x**2 - 5 + 5 - x**2 + 0*x**2 + 2*x**2.
-16*x**2
Expand (-4*w - 3*w + 6*w)*(-2 + 6 - 2) - 14 - 3*w + 14.
-5*w
Expand (0 - 2 + 1)*(1 + 0 - 3)*(6 - 6 + 3*d**3).
6*d**3
Expand (-23*d + 23*d + 5*d**2)*(-4*d - 2*d + 5*d).
-5*d**3
Expand (-6 + 6 + 2*j)*(-j - j + 5*j).
6*j**2
Expand -2*l**5 + 0*l**5 + 0*l**5 + (2*l + 2*l**4 - 2*l)*(3 - 3 + 2*l) + (2*l**3 - 2*l**3 - 2*l**3)*(-3 + 2*l**2 + 3).
-2*l**5
Expand (2 - 1 - 2)*(2*s + 7 - 7)*(-s**4 + 2*s**4 + s**4)*(-4 - 1 + 4 + 4 - 3 + 1 - 5 + 2 + 4 + (0 - 3 + 5)*(-1 - 1 + 1) + 1 - 3 + 1).
4*s**5
Expand (2 - 5 + 1)*(5 - 2*b - 5)*(b + 0*b + b).
8*b**2
Expand (-109 + 109 + 2*q**2)*(3 + 2*q - 1 - 1).
4*q**3 + 2*q**2
Expand (-3*z + 0*z + z + (2*z + 2*z - 2*z)*(1 - 1 + 2) + 1 + 2*z - 1 + 3*z + 0*z - z)*(z - 3 + 3).
6*z**2
Expand (8*d**2 - 8*d**2 + 2 - 4*d**3)*(1 - 2 + 6)*(0 - 2 + 3).
-20*d**3 + 10
Expand (3*s - 3*s + 3*s)*(4*s**2 - s**2 + 4 - 6).
9*s**3 - 6*s
Expand (0 + 0 + l**2)*(-2 + 2 + 1 + 4*l).
4*l**3 + l**2
Expand (-6*q + q + 2*q)*(0*q**3 + q**3 - 2*q**3) + 1 - q**4 - 1.
2*q**4
Expand (-3*k**3 + 5*k**3 + k**3 + (-4*k + 0*k + 5*k)*(-4*k + 2*k**2 + 4*k))*(6 + 5*k + 1 - 4*k).
5*k**4 + 35*k**3
Expand 4*m - 2*m - 4*m + (-85 + 21 + 28)*(2*m + 3*m - 4*m).
-38*m
Expand (h + 2*h - 2*h)*((0 - 8 + 3)*(-2 + 2 - 2) + 8 + 6 - 5 + 2 - 3 - 1 + (1 - 1 - 1)*(6 + 0 - 4) - 5 + 3 + 3).
16*h
Expand 0 - 3 + 2*v + 0 + (1 - 4 + 4)*(3 + 2*v - 3).
4*v - 3
Expand (-b - 3*b + 3*b)*(0 + 0 - 1) + b - 1 + 1 + 0*b - 3*b + b + (3 - 3 + 2)*(3*b + 2*b - 3*b).
4*b
Expand 2*b**2 - 2*b**2 - 3*b**3 + (5 - 3 + 4)*(b + 3*b - 2*b)*(2*b - 2*b - b**2).
-15*b**3
Expand 0*j - 2*j + 4*j + (-2 + 4 - 3)*(1 + j - 1) + 154 - 154 + 6*j.
7*j
Expand (-5*t**3 + 0*t**3 + 3*t**3 + (0*t**3 - t**3 + 3*t**3)*(2 + 2 - 5) + 2*t - t**3 - 2*t + 3*t**3 - 4*t**3 + 0*t**3 + 4*t**3 - 31 + 31)*(3 - t**2 - 3).
2*t**5
Expand (-3*n + 4*n - 3*n)*(-27*n**2 + 15*n**2 - 11*n**2) + (-n**2 - n**2 + n**2)*(0*n + 2*n - n).
45*n**3
Expand (1 + 1 - 4 + (2 - 7 + 4)*(4 + 3 - 2))*(n + n - 3*n).
7*n
Expand (-m**2 + m**2 - 2*m**2)*(m + 0*m - 2*m) - 2*m**2 - m**3 + 2*m**2 + (3*m + 0*m - 4*m)*(-1 + 1 - 5*m**2).
6*m**3
Expand -2 - s - 4*s + 4*s + (1 + 2 + 1)*(-s + 0*s + 2*s) + 0 + 0 + s.
4*s - 2
Expand (3*w**2 | {
"pile_set_name": "DM Mathematics"
} |
62108*c**3 - 93
Find the third derivative of 2212972*q**4 - 17941224*q**2.
53111328*q
What is the first derivative of -2*q**2*w - 88588858*q*w**3 - 188*w**3 - 2322*w**2 wrt q?
-4*q*w - 88588858*w**3
What is the second derivative of 50566584*j**2 + 13479753*j wrt j?
101133168
What is the second derivative of 11867749*t**2 - 351404*t + 9?
23735498
What is the second derivative of 2*q*w**3 + 33966384*q*w**2 + 6*q*w - 8*q + 2*w**3 + 4*w**2 + 418*w + 1787 wrt w?
12*q*w + 67932768*q + 12*w + 8
What is the second derivative of -47881935*i**2 - 1182157*i - 2?
-95763870
What is the second derivative of 2*d**2*q*y - 4*d**2*q - 1230*d**2*y - 19*d**2 - 5*d*q*y + 9*d*y + 24*d - q - 12*y wrt d?
4*q*y - 8*q - 2460*y - 38
What is the second derivative of 1537681*b**3*v + 4*b**3 + 24*b*v - 4*b - 88*v - 1123 wrt b?
9226086*b*v + 24*b
Differentiate 42*f**3*m**3*p + 105*f**3*m**3 + 67010*f*m**3 + 777418*m**3*p wrt p.
42*f**3*m**3 + 777418*m**3
Find the first derivative of -726212*i*n*y - 6539*i*y + 271*i + n*y - 7*n - y wrt n.
-726212*i*y + y - 7
Find the third derivative of 16*l**6 + 330*l**5 + 53*l**3 + 362*l**2 + 32*l + 38.
1920*l**3 + 19800*l**2 + 318
What is the second derivative of 235656130*h**3 - 376717363*h wrt h?
1413936780*h
Differentiate -52948*a**2*z + 217636*a**2 - 241*a*z - 3*a - 2 with respect to z.
-52948*a**2 - 241*a
What is the second derivative of -480490942*c**3 - 502766436*c wrt c?
-2882945652*c
Find the first derivative of 255493899*f + 657262415 wrt f.
255493899
What is the second derivative of 336941609*d**2 + 514244539*d wrt d?
673883218
Find the third derivative of -701097*b**4*p + b**3*p**2 + 2*b**2*p**2 + 93462*b**2 - 49*b*p**2 wrt b.
-16826328*b*p + 6*p**2
Differentiate 5520277*v**4 + 4965025 with respect to v.
22081108*v**3
Find the second derivative of 57*c**4 + 468955*c**2 - 24*c + 39078 wrt c.
684*c**2 + 937910
What is the third derivative of -3*f*i**4 - f - 25152*i**4 - 109*i**3 - 107615*i**2 + 13 wrt i?
-72*f*i - 603648*i - 654
Find the first derivative of -2571100*x - 182024677 wrt x.
-2571100
What is the first derivative of 22324*g**2 + 116*g - 10624729 wrt g?
44648*g + 116
Find the first derivative of -9080*f**4 + f**3 + 24*f - 11724578.
-36320*f**3 + 3*f**2 + 24
Differentiate -16636465*u**2 - 14116184.
-33272930*u
Find the second derivative of 4370385*b**2 - 652827*b wrt b.
8740770
What is the first derivative of 2*m*t - 200641563*m + 31566343*t wrt t?
2*m + 31566343
What is the derivative of -1807*i**3 - 199543*i**2 + 1291888498?
-5421*i**2 - 399086*i
Find the second derivative of -10839831*y**5 - 17799658*y.
-216796620*y**3
Find the first derivative of -2*b**3*t**3 + 35028501*b**3*t + 206000*b**3 - 2*b**2 + 1305 wrt t.
-6*b**3*t**2 + 35028501*b**3
Find the first derivative of 297707391*c*i - 6*i - 1691532 wrt c.
297707391*i
Find the second derivative of 11021907*l**3 + 18998*l - 54.
66131442*l
Find the third derivative of 2*s*t**3*v**2 - 712*s*t**2*v**2 - 239047*s*t**2 + 207054107*t**4 wrt t.
12*s*v**2 + 4969298568*t
What is the first derivative of -86*p*x**2 - 2571*p*x - 2*p - 90*x**2 + x + 3469 wrt p?
-86*x**2 - 2571*x - 2
What is the derivative of 20242911*v - 32183626 wrt v?
20242911
What is the second derivative of 3575903*n**3 - 24948964*n wrt n?
21455418*n
Find the third derivative of 1697*p**4 - 8620*p**3 - 18*p**2 + 3376*p + 19 wrt p.
40728*p - 51720
Find the second derivative of 320242880*m**3 - m**2 - 469801419*m wrt m.
1921457280*m - 2
What is the third derivative of -3*n**5 - 35984048*n**4 - 239839599*n**2?
-180*n**2 - 863617152*n
Find the third derivative of 64166*w**6 - 985*w**4 + 64171819*w**2 wrt w.
7699920*w**3 - 23640*w
Find the second derivative of 17372131*m**4 + 18533128*m wrt m.
208465572*m**2
Find the second derivative of -520*d**2*p**2 + 3*d**2 - d*p**2 - 23*d*p + 2*d + 2531*p**2 + p - 28 wrt p.
-1040*d**2 - 2*d + 5062
Find the second derivative of 7237963*y**5 - 15*y**3 + 3*y**2 - 183904061*y.
144759260*y**3 - 90*y + 6
What is the first derivative of 2671*p**3 - 10771*p + 1109972920 wrt p?
8013*p**2 - 10771
Find the second derivative of 4*u**5 + 42023*u**4 - u**2 + 11744389*u.
80*u**3 + 504276*u**2 - 2
Differentiate -377019128*n**2 + 28069088 with respect to n.
-754038256*n
Differentiate 61*o**3*q**2 - 229642*o**2*q**3 - 276514*q**3 + 4*q + 75 with respect to o.
183*o**2*q**2 - 459284*o*q**3
Find the third derivative of -101523906*d**3 - 6*d**2 + 1480*d - 1802 wrt d.
-609143436
Differentiate 5836023*b*d**2 - d**2 + 183615*d + 5 with respect to b.
5836023*d**2
What is the third derivative of -19*a*j**5 + 1996702*a*j**4 + 11266*a*j**2 - 4319*a - j**2 wrt j?
-1140*a*j**2 + 47920848*a*j
What is the derivative of -511*j**2*t + 14883*j**2 - j*t + 2093324*t + 21 wrt j?
-1022*j*t + 29766*j - t
What is the second derivative of -677933354*s**2 - 36808906*s - 2?
-1355866708
What is the derivative of 18670*k**3*q - 131806953*k**3 + 9*k*q**3 - 2*q**2 wrt q?
18670*k**3 + 27*k*q**2 - 4*q
Find the second derivative of -2*i**3 - 6811632*i**2 + 129101044*i wrt i.
-12*i - 13623264
Find the second derivative of 96136050*c**3 - 213248566*c wrt c.
576816300*c
What is the second derivative of -2*c**2*l**2 + 5*c**2 + 1327717*c*l**2 + 2*l**2 - 22*l + 7478 wrt l?
-4*c**2 + 2655434*c + 4
What is the third derivative of -478163*d**4 + 46*d**3 - 75411258*d**2 wrt d?
-11475912*d + 276
Find the second derivative of -13*r**5 + 11872876*r**3 + 312*r + 226815.
-260*r**3 + 71237256*r
Find the third derivative of 135596387*a*w**3 - 16141*a*w**2 + 2868*w**2 + 3*w wrt w.
813578322*a
What is the second derivative of -19267024*d**2 - 4*d + 786640?
-38534048
What is the second derivative of 31327423*n**2 - 32083596*n + 1 wrt n?
62654846
What is the first derivative of 15355*c**2 - 453*c + 18543056 wrt c?
30710*c - 453
Find the third derivative of 547713171*n**3 - 9221*n**2 - 19421.
3286279026
Find the second derivative of -11954*k**5*l**2 - 183*k**2*l**3 - 38261*k*l**2 + 52*l**3 wrt k.
-239080*k**3*l**2 - 366*l**3
Find the second derivative of -116596689*r**3 - 7684126*r - 2 wrt r.
-699580134*r
Find the third derivative of 62*a**6 + 12*a**4 + 60936*a**3 - 398614400*a**2 wrt a.
7440*a**3 + 288*a + 365616
What is the derivative of -9*k**3 + 568*k**2 + 11528*k + 493496724 wrt k?
-27*k**2 + 1136*k + 11528
Find the second derivative of 77597714*k**5 - 24771431*k.
1551954280*k**3
What is the third derivative of 282777*b**4 + 450*b**3 + b**2 - 136246485*b?
6786648*b + 2700
Find the third derivative of -163*h**5*i + 428791*h**4*i - 2*h**2*i + 5*h*i - 132*h - 6345*i wrt h.
-9780*h**2*i + 10290984*h*i
Differentiate -49*d*i*l**2 + 219*d*i*l - d + 746*i*l**2 - 3*i*l + 38*l**2 - 3 with respect to d.
-49*i*l**2 + 219*i*l - 1
Find the second derivative of -709584*o**3 + 25*o**2 + 91985868*o wrt o.
-4257504*o + 50
What is the third derivative of 2539129*n**2*r**3 - 1568173*n**2*r - n**2 - n*r**2 - 4*r**4 - r**3 - 2*r**2 - r wrt r?
15234774*n**2 - 96*r - 6
What is the third derivative of 6*u**5 + 43986*u**3 - 146081713*u**2 wrt u?
360*u**2 + 263916
What is the second derivative of -m**5 + 5693274*m**3 + 1021458*m - 33 wrt m?
-20*m**3 + 34159644*m
Find the third derivative of -29*b**6 + 472*b**5 + 18*b**3 + 12442276*b**2 - 1 wrt b.
-3480*b**3 + 28320*b**2 + 108
What is the derivative of 71958090*t**3 + 78844765?
215874270*t**2
Find the first derivative of -23272382*s - 134032955 wrt s.
-23272382
Find the third derivative of 27386*p*q**5 + 106685*p*q + 196*q**5 - 209*q**2 wrt q.
1643160*p*q**2 + 11760*q**2
What is the second derivative of 6*f*x**2 + 4*f*x - 377*f + 472616*x**2 + 100 wrt x?
12*f + 945232
What is the third derivative of 5328*d**4 - 59*d**3 + 5458605*d**2 wrt d?
127872*d - 354
What is the derivative of 15570*d*o - 16495985*d + 71*o wrt o?
15570*d + 71
What is the second derivative of -3*q**3*z**3 - 2207396*q**2*z**3 - 1106779*q*z**3 - q*z - q + z**3 wrt q?
-18*q*z**3 - 4414792*z**3
What is the second derivative of 3*r**4 + 1089160*r**3 - r**2 + 33096*r + 4?
36*r**2 + 6534960*r - 2
Find the first derivative of 6398*i**4 + 2*i**3 - 378*i**2 - 4962751.
25592*i**3 + 6*i**2 - 756*i
Differentiate -2*r**3 + 46670871*r**2 - 4161209 with respect to r.
-6*r**2 + 93341742*r
What is the second derivative of -4035879*j**2 + 4339108*j wrt j?
-8071758 | {
"pile_set_name": "DM Mathematics"
} |
4. What is the first derivative of -11*o**2 + 6 + 4*o**2 + 3*o**p wrt o?
-8*o
Let r(s) = 2*s - 8. Let a be r(7). Find the third derivative of 4*w**6 - 3*w**2 + w**6 - 2*w**a wrt w.
360*w**3
Let t be 30/(-5)*(-1)/3. Find the third derivative of 4*l**2 + 7*l**6 - 6*l**2 + 11*l**t wrt l.
840*l**3
Find the second derivative of -2*w - 10*w + 221*w**2 - 223*w**2 + 50*w**5 - 4*w**5 wrt w.
920*w**3 - 4
Let j be 5 + -3 + 1/1. Find the second derivative of -14*i**2 + j*i**3 + i + 14*i**2 wrt i.
18*i
Let s(l) be the third derivative of -l**8/21 - 3*l**5/20 + 16*l**2. Find the third derivative of s(g) wrt g.
-960*g**2
Let b(s) be the first derivative of 0*s**6 + 0*s**4 + 0*s**2 + 0*s**5 - 2 + 0*s + 1/7*s**7 + 1/3*s**3. Find the third derivative of b(t) wrt t.
120*t**3
Let o(c) = -3*c - 9. Let w be o(-6). What is the third derivative of -w*i**5 - 6*i**5 + 3*i**2 + 12*i**5 wrt i?
-180*i**2
Suppose -6*a + a + 10 = 0. What is the third derivative of -2*f**4 - f**2 - f**4 - a*f**4 wrt f?
-120*f
Let p(t) = 11*t**3 - 3*t - 3. Let m(v) = 10*v**3 - 3*v - 2. Let x(o) = 6*m(o) - 4*p(o). Find the second derivative of x(h) wrt h.
96*h
Let y(z) be the first derivative of 19*z**6/6 - z**2/2 - 17. What is the second derivative of y(o) wrt o?
380*o**3
Let z = -2 - -2. Suppose 0 = 4*s - z*s. What is the first derivative of s*w**2 - 2*w**2 + 1 + 0*w**2 wrt w?
-4*w
Let s(x) be the first derivative of 38*x**5/5 + 32*x - 12. Differentiate s(f) wrt f.
152*f**3
Let c(h) be the first derivative of -h**6/120 + h**4/12 - 5*h**2/2 - 6. Let b(f) be the second derivative of c(f). Find the second derivative of b(p) wrt p.
-6*p
What is the second derivative of -27*x**4 + 13*x**4 - 9*x**4 - 1 + x - 9*x wrt x?
-276*x**2
Let w = -7 + 8. Suppose 2 = z - w. Find the first derivative of 3*o**3 + 2*o**z - 3*o**3 - 2 wrt o.
6*o**2
Let z(k) = 7*k**3 - k**2 - 2*k. Let o(f) = -f**3 + f. Let r(l) = -2*o(l) - z(l). What is the third derivative of r(u) wrt u?
-30
What is the third derivative of 18*l**2 - 14*l**2 - 33*l**2 - 3*l**6 wrt l?
-360*l**3
Let h(i) = -2*i**3 - i. Let g be h(-1). What is the second derivative of 0*l**g + 2*l + 2*l**3 - l**3 wrt l?
6*l
Let j(a) = -23*a**3 - 11*a**2 + 33*a + 11. Let s(q) = 12*q**3 + 6*q**2 - 17*q - 6. Let y(c) = 6*j(c) + 11*s(c). Find the second derivative of y(l) wrt l.
-36*l
Let t(r) = -46*r**2 - 5*r + 5. Let n(s) = s**6 + s - 1. Let g(z) = 5*n(z) + t(z). What is the third derivative of g(o) wrt o?
600*o**3
Let a(w) be the third derivative of 2*w**9/63 - 19*w**5/60 - 16*w**2. Find the third derivative of a(u) wrt u.
1920*u**3
Let i = 8 + -7. What is the first derivative of -x**2 - x**2 - i - x**2 wrt x?
-6*x
Suppose 3*h = 2*h + 8. Suppose 2 = -3*k + h. What is the derivative of -k - 6*s + 4*s + 0 wrt s?
-2
Let l(f) = f + 10. Let r be l(-6). What is the first derivative of 9*o**r + o - 5*o + 4*o + 4 wrt o?
36*o**3
Let q = 0 + 5. Let a(z) be the first derivative of 0*z**3 + 2 + 1/5*z**q - z**2 + 0*z**4 + 0*z. What is the second derivative of a(n) wrt n?
12*n**2
Let s(k) = k**3 - 2*k**2 + k + 1. Let u be s(2). What is the second derivative of -4*r**2 + 5*r**2 + r**2 - u*r**2 + 2*r wrt r?
-2
Let y(f) = -4*f**2 + 3*f. Let j(d) be the first derivative of 5*d**3/3 - 3*d**2/2 + 1. Let t(l) = -3*j(l) - 4*y(l). Find the second derivative of t(r) wrt r.
2
Find the second derivative of 8*p - 10*p - 21*p**2 - 45*p**2 + 37*p wrt p.
-132
Suppose -t = 3*o - 11, 11 + 11 = 4*o + 5*t. Find the second derivative of -2*n**2 + 3*n**2 - n**2 + 5*n**o - 5*n wrt n.
30*n
Let g(v) = v**3 - 10*v**2 + 10*v - 5. Let q be g(9). Find the third derivative of -u**4 - 7*u**2 - u**q - 4*u**4 wrt u.
-144*u
What is the third derivative of 3*z**2 - 55*z**3 - z**2 + 63*z**3 wrt z?
48
Let b be 10/6 - (-8)/(-12). Find the second derivative of -1 + 0*c - 6*c**2 + b - c wrt c.
-12
Let g be 15/6 + 1/2. What is the first derivative of -2 + 2*p**g - p**3 - 3*p**3 - 2*p**3 wrt p?
-12*p**2
Let y(c) be the first derivative of -c**7/420 - 5*c**4/24 + 4*c**3/3 + 6. Let m(n) be the third derivative of y(n). Differentiate m(s) wrt s.
-6*s**2
Let j(b) be the second derivative of 3*b**5/10 + b**2/2 + 3*b. Differentiate j(m) with respect to m.
18*m**2
Let p(n) = n**5 + n**4 + n**2 + n + 1. Let u(i) = -26*i**5 - 2*i**4 - 2*i**2 - 14*i - 2. Let x(l) = -2*p(l) - u(l). What is the second derivative of x(a) wrt a?
480*a**3
Let j(o) = 20*o**4 - 14*o**2 - 10*o + 14. Let z(v) = 4*v**4 - 3*v**2 - 2*v + 3. Let y(a) = -6*j(a) + 28*z(a). What is the second derivative of y(r) wrt r?
-96*r**2
Let j be (7 - 5)/((-1)/(-2)). Find the second derivative of -2*z - z**4 + 0*z**4 - 3*z**j wrt z.
-48*z**2
Let n be ((-6)/(-3) + -2)*-1. Suppose n = -q + 3. What is the first derivative of -s - 2 + s + s**q wrt s?
3*s**2
Let j(v) = 3*v**2 - 6*v - 4. Let c be -39*(1 - 12/9). Let o(q) = 6*q**2 - 13*q - 8. Let l(u) = c*j(u) - 6*o(u). Differentiate l(h) with respect to h.
6*h
What is the second derivative of 8*x**4 - 7*x**4 + 5*x**4 + 3*x wrt x?
72*x**2
Let j(u) = 15*u**4 - 5*u**3 - 3*u - 5. Let h(s) = -22*s**4 + 8*s**3 + 4*s + 8. Let c(l) = 5*h(l) + 8*j(l). Find the second derivative of c(i) wrt i.
120*i**2
Let k(o) = 9*o**4 - 5*o**3 - 5*o**2 - 5*o + 8. Let s(l) = 10*l**4 - 6*l**3 - 6*l**2 - 6*l + 8. Let a(z) = -6*k(z) + 5*s(z). Differentiate a(f) wrt f.
-16*f**3
Suppose 2*c - 7 = 4*q - 29, -3*q + 2*c + 18 = 0. What is the third derivative of -n**q + 7*n**4 - 20*n**2 + 28*n**2 wrt n?
144*n
What is the third derivative of 4*h**5 - 3*h**5 + h**2 - 7*h**2 - 3*h**2 wrt h?
60*h**2
Let b(k) = 23*k**3 + 2*k**2 - 2*k - 18. Let u(w) = 22*w**3 + 3*w**2 - 3*w - 18. Let t(v) = -3*b(v) + 2*u(v). Differentiate t(g) with respect to g.
-75*g**2
Let a(m) be the third derivative of -m**6/30 - 2*m**5/15 + 9*m**2. Find the third derivative of a(t) wrt t.
-24
Find the second derivative of -64*g**3 + 132*g**3 + 6*g + 30*g**5 - 68*g**3 wrt g.
600*g**3
What is the third derivative of 9*n**2 - 6*n**2 + 6*n**4 - n**4 wrt n?
120*n
Let s(x) be the first derivative of 11*x**6/6 + 4*x**3 + 2. Find the third derivative of s(c) wrt c.
660*c**2
Let n(c) be the first derivative of -2*c**3/3 - 10*c + 1. Find the first derivative of n(s) wrt s.
-4*s
Let l = 13 + -11. What is the third derivative of 10*d**l + 0*d**5 + 0*d**5 - 7*d**2 - d**6 wrt d?
-120*d**3
Let w(v) be the third derivative of -v**9/126 - v**5/12 + 2*v**2. What is the third derivative of w(j) wrt j?
-480*j**3
What is the first derivative of 3 - 41*b**3 - 2*b**4 + 41*b**3 + 0 wrt b?
-8*b**3
Let z(c) = -c**5 + 8*c**4 - c - 8. Let q(i) = 3*i**4 - 3. Let v(h) = 8*q(h) - 3*z(h). What is the second derivative of v(y) wrt y?
60*y**3
Let o(j) be the third derivative of 0*j**4 + 1/35*j**7 + j**2 + 0 + 0*j**6 + 0*j**5 - 5/6*j**3 + 0*j. Find the first derivative of o(r) wrt r.
24*r**3
Let c(l) be the first derivative of -29*l**6/6 - 31*l**2/2 - 28. Find the second derivative of c(o) wrt o.
-580*o**3
Let v(z) be the third derivative of z**6/30 - 4*z**3/3 - 5*z**2. What is the first derivative of v(a) wrt a?
12*a**2
Let z = 82 + -54. Suppose 3*n + 4*p = n + z, 5*n - 35 = -3*p. What is the third derivative of -3*g**3 + 4*g**4 + 0*g**2 + n*g**2 + 3*g**3 wrt g?
96*g
Let c(h) be the second derivative of 3*h**5/20 + 7*h**4/12 + 4*h. What is the third derivative of c(m) wrt m?
18
Let g(f) be the first derivative of -17*f**5/5 + 18*f - 6. Differentiate g(v) wrt v.
-68*v**3
Suppose -2*a + 0*a = -8. Find the third derivative of -4*n**a - 44*n**2 + 49*n**2 + 0*n**4 - n**4 wrt n.
-120*n
Let b(n) = -n**2. Let z(t) = -10*t**4 + 38*t**2. Let o(l) = -2*b(l) - z(l). Find the third derivative of o(d) wrt d.
240*d
Let k(v) be the second derivative of 3*v**5/10 - 7*v**4/3 + 5*v. Find the third derivative of k(l) wrt l.
36
Find the third derivative of -140*g**2 + 56*g**2 + 15*g**4 + 24*g**2 wrt g.
360*g
Let f be 34 - 3/(-6)*0. Find the second derivative of l**3 - 35*l - l**3 + f*l - 2*l**4 wrt l.
-24*l**2
Suppose -4*h + 3*h + 18 = 3*a, 2*a = -2*h + 16. Find the second derivative of k + 4*k**3 - 4*k**3 - 4*k**h wrt k.
-24*k
Let w(r) be the second derivative of r**8/2 + 23*r**4/12 - 19*r. What is the third derivative of w(k) wrt k?
3360*k**3
Let u(r) = -4*r - 6. Let w(z) = -z - 2. Suppose 4*q = 3*q + 5. Suppose 7 = -q*s - 8. Let j(x) = s*u(x) + | {
"pile_set_name": "DM Mathematics"
} |
he hundred thousands digit of 587253657?
2
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8
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0
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5
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9
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0
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3
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1
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7
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9
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2
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6
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4
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9
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6
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6
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4
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3
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1
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5
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7
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0
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1
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1
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5
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1
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9
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1
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5
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3
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8
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5
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7
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9
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3
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1
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4
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1
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6
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5
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1
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7
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3
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5
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1
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0
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7
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4
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2
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7
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0
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1
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9
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1
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5
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8
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9
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9
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3
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8
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4
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6
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2
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3
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0
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6
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5
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7
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3
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8
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2
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2
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7
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6
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6
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3
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6
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4
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3
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2
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9
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1
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9
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4
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2
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3
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8
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3
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2
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5
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4
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6
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3
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2
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0
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5
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6
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2
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8
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6
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3
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3
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8
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3
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7
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6
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5
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3
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5
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5
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4
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5
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4
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4
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2
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1
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4
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5
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1
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3
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8
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1
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8
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5
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7
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8
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7
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4
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6
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4
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1
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0
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4
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1
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4
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4
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7
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8
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9
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9
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6
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1
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7
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4
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9
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1
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3
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6
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7
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9
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2
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6
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1
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4
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8
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6
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2
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3
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9
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2
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8
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7
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6
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5
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0
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6
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9
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3
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3
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9
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7
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8
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1
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7
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5
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3
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4
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1
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1
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7
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7
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1
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"pile_set_name": "DM Mathematics"
} |
Factor h(m).
m*(m + 1)*(m + 2)
Let c be 2/2 - 8*10/(-4). Let 5*n**2 + n**3 - 12*n**3 - 10*n + c*n**3 - 5*n**4 = 0. Calculate n.
-1, 0, 1, 2
Let n(h) be the second derivative of -4/9*h**2 - 65*h + 0 + 1/54*h**4 + 1/9*h**3. Factor n(m).
2*(m - 1)*(m + 4)/9
Let g be 62/279 + 38/18 + (-9 - -7). Let q(d) be the first derivative of 7 - d**2 + d + g*d**3. Find p such that q(p) = 0.
1
Let c(g) be the first derivative of -1/1980*g**6 + 0*g - 3/44*g**4 - 1/110*g**5 - 11/3*g**3 + 0*g**2 + 5. Let d(i) be the third derivative of c(i). Factor d(r).
-2*(r + 3)**2/11
Let f(n) be the second derivative of -11*n**6/75 - n**5/10 + 11*n**4/10 - 7*n**3/15 - 2*n**2 - n + 458. Determine d, given that f(d) = 0.
-2, -5/11, 1
Let z(x) be the first derivative of 0*x**4 + 6 + 0*x**2 - 1/720*x**6 + 0*x - 1/120*x**5 + 23/3*x**3. Let v(j) be the third derivative of z(j). Factor v(s).
-s*(s + 2)/2
Let p = 25269/42095 + -12/42095. Factor 24/5*c**2 + 27*c - p*c**3 + 108/5.
-3*(c - 12)*(c + 1)*(c + 3)/5
Suppose -3*b + 9 = -h, 9 = -2*h + 2*b + 7. Suppose 8*i + h = 35. Factor 8/5*v**2 - 4/5*v**5 + 0*v + 12/5*v**3 + 0*v**i + 0.
-4*v**2*(v - 2)*(v + 1)**2/5
Let n(j) be the third derivative of -2*j**7/105 + 5*j**6 - 5773*j**5/15 + 1850*j**4 - 10952*j**3/3 - 45*j**2 - 13*j. Find q, given that n(q) = 0.
1, 74
Let a(j) be the third derivative of j**7/30 + 13*j**6/60 + 9*j**5/20 + j**4/6 - 2*j**3/3 + j**2 + 124. Factor a(s).
(s + 1)**2*(s + 2)*(7*s - 2)
Let o(k) be the first derivative of 100*k + 29 + 5/4*k**4 + 15*k**3 + 60*k**2. Suppose o(y) = 0. What is y?
-5, -2
Suppose -262*f - 180 = -266*f. Factor -f*x + 21*x - 4 + 30*x - 6*x**3 + 2*x**4 + 2*x**2.
2*(x - 2)*(x - 1)**2*(x + 1)
Let n(u) be the first derivative of -2*u**5/5 + 123*u**4/2 - 162*u**3 + 121*u**2 - 1201. Factor n(d).
-2*d*(d - 121)*(d - 1)**2
Let w(y) = -y**3 + y**2 + y + 1. Let j be w(-1). Determine o so that o**2 - 14*o**2 + 128*o - 4*o**4 + 64 + 12*o**5 - 80*o**3 + 13*o**j = 0.
-2, -1, -2/3, 2
Let a(g) be the first derivative of g**3 + 231*g**2 - 465*g + 342. Factor a(f).
3*(f - 1)*(f + 155)
Let y(x) be the first derivative of 5*x**4/4 - 535*x**3/3 + 1055*x**2/2 - 525*x - 1352. Factor y(r).
5*(r - 105)*(r - 1)**2
Let n = -594 + 586. Let v be n/(-6)*22/(1452/9). Determine t, given that -v*t + 2/11*t**3 - 4/11 + 4/11*t**2 = 0.
-2, -1, 1
Suppose 0 = -8*c + 2830 - 8630. Let b be 5 - (-29)/(c/120). Determine h so that b*h**5 + 0*h**4 - 2/5*h**2 + 2/5 - 4/5*h**3 + 3/5*h = 0.
-1, 1, 2
Solve -1720*r + 3875*r**4 - 1116*r**3 - 843 - 277 + 6380*r**2 - 3362*r**3 + 8617*r**3 + 6591*r**3 + 125*r**5 = 0 for r.
-28, -2, -1, -2/5, 2/5
Suppose 5*m - z + 31 = 126, -5*z = -m + 43. Suppose -8*n - 7*n + 8*n + m - n**2 = 0. What is n?
-9, 2
Let k(i) be the third derivative of i**8/252 + 26*i**7/315 - 4*i**6/15 - 392*i**5/45 + 680*i**4/9 - 800*i**3/3 - 3982*i**2. Let k(y) = 0. Calculate y.
-10, 2, 3
Let z(k) be the third derivative of k**8/43680 + k**7/1170 + 25*k**4/8 - k**3/6 - 22*k**2 + 6. Let w(c) be the second derivative of z(c). Factor w(h).
2*h**2*(h + 14)/13
Factor 16*m**4 + 32*m**2 - 45*m**2 - 5*m - 28*m**3 + 36 - 55*m**2 + 17*m.
4*(m - 3)*(m + 1)**2*(4*m - 3)
Let i = 81868 - 245597/3. Factor 0 + 1/3*n**2 + i*n.
n*(n + 7)/3
Let o(u) be the first derivative of 0*u + 0*u**2 + 33 + 0*u**3 + 1/8*u**6 + 3/10*u**5 + 0*u**4. Find d such that o(d) = 0.
-2, 0
Let r(w) be the third derivative of w**8/84 - 59*w**7/210 - 151*w**6/120 - 17*w**5/30 + 360*w**2 + w. Solve r(u) = 0.
-2, -1/4, 0, 17
Determine y so that 2198/3 + 2565*y + 7/3*y**2 = 0.
-1099, -2/7
Let b(o) = -2*o**2 - o + 20. Let p be b(0). Let r be (-66)/(-14) - (-2)/7. Find v such that -4 + p*v + r*v**2 + 3*v**2 - 20*v**3 - 4 = 0.
-1, 2/5, 1
Let k(y) = 1244*y + 60959. Let n be k(-49). Factor 77/6*z + 1/6*z**n - 121/3 + 10/3*z**2.
(z - 2)*(z + 11)**2/6
Suppose 58 + 2*w**3 + 91936*w**2 - 92016*w**2 + 262 - 8*w = 0. Calculate w.
-2, 2, 40
Factor 1348/3*b - 2/3*b**2 + 2704/3.
-2*(b - 676)*(b + 2)/3
Let f(m) = -2*m**2 + 25*m - 56. Let o be f(10). Let s(b) = -4*b**2 - 18*b + 40. Let t be s(o). Factor t + 9/4*z**2 + 6*z + 1/4*z**3.
(z + 1)*(z + 4)**2/4
Let r(j) be the first derivative of 0*j**2 - 3/10*j**4 + 2/15*j**3 - 1/15*j**6 + 6/25*j**5 + 0*j + 103. Factor r(d).
-2*d**2*(d - 1)**3/5
Suppose -4*v = 19*v + 69. Let m be 6 + 3*1/v. Let -24/7 + 198/7*j**2 - 102/7*j**3 - 24/7*j + 18*j**m - 174/7*j**4 = 0. Calculate j.
-1, -2/7, 2/3, 1
Let c(l) = -4507*l**2 - 4551*l - 148. Let x(j) = -1502*j**2 - 1516*j - 53. Let a(t) = -3*c(t) + 8*x(t). Factor a(v).
5*(v + 1)*(301*v + 4)
Let x(c) be the second derivative of 121*c**7/42 - 11*c**6/15 + c**5/20 - 1551*c. Determine i, given that x(i) = 0.
0, 1/11
Let s = 128 + -125. Factor -3*c**4 - c - 197*c**s + 5*c**5 - 6*c**5 - 2*c**4 - 5 + 10*c**2 + 199*c**3.
-(c - 1)**2*(c + 1)**2*(c + 5)
Suppose 303*h = 306*h - 6. Let b(r) be the first derivative of 8/3*r - 30 + 4*r**3 + 4/15*r**5 + 14/3*r**h + 5/3*r**4. Find l, given that b(l) = 0.
-2, -1
Factor 939 - 292*q + 12*q**2 - 6*q**2 - 1235 - 2*q**2.
4*(q - 74)*(q + 1)
Let o(h) = 21*h**3 + 173*h**2 + 322*h. Let b(z) = -4*z**3 - z**2 + 2*z. Let l(n) = 20*b(n) + 4*o(n). Solve l(c) = 0.
-166, -2, 0
Let n(k) = -k**2 - 13*k + 4. Let d be n(-10). Factor -2 - 2 - d*h**2 + 33*h**2 - 4*h.
-(h + 2)**2
Let j(f) be the first derivative of -74 + 88*f**2 - 5*f**3 - 95*f**2 + f**3 - 2*f**3 + 4*f. Determine p so that j(p) = 0.
-1, 2/9
Let -20*p**2 + 385*p + 110*p + 28*p**2 - 13*p**2 = 0. Calculate p.
0, 99
Suppose 3*z - 36 = 5*d, 5*d - 36 = -0*z - 3*z. Let p be 1/(-6) - (-50)/z. Determine i, given that 4*i - 14*i**3 - 8*i + 18*i**2 + 2*i**p - 6*i + 2 + 2*i**4 = 0.
1/2, 1
Suppose -b - p + 5 = 0, 0*b + 5*p = -b + 17. Suppose 2*c = 5*z - 9, 2*c - b*z - z = 1. Find j such that c + 2*j + j**2 + 12*j - 4*j + j**2 = 0.
-4, -1
Factor -87/2*y + 45*y**2 - 89 - 1/2*y**3.
-(y - 89)*(y - 2)*(y + 1)/2
Let t = -39 + 54. Suppose 0 = -o - 3*a + t, -3*o + 0*o + 5*a = -45. Factor -29*n**3 + o*n**2 + 35*n**4 - 6*n**3 - 5*n**5 - 10*n**4.
-5*n**2*(n - 3)*(n - 1)**2
Find d such that 1/4*d**3 + 96*d + 360 + 17/2*d**2 = 0.
-12, -10
Let 28*a**2 + 39845316 - 16*a - 39845316 = 0. Calculate a.
0, 4/7
Let t be 2 + (-244)/6*51/(-34). Let b be (-18)/t + (-90)/(-168). Factor 0 - d**2 + b*d**3 + 0*d.
d**2*(d - 4)/4
Factor 13*q**2 - 120*q + 71*q**2 - 13*q**3 - 288 + 52*q**2 - 20*q**3 + 3*q**3 + 2*q**4.
2*(q - 6)**2*(q - 4)*(q + 1)
Suppose -5*g - r = -104, -5*r - 15 - 95 = -5*g. Determine p so that g*p**3 - 3*p**3 - 6*p**3 - 60*p + 152*p**2 - 104 = 0.
-13, -2/3, 1
Let k(o) = -o**3 - 21*o**2 - 26*o - 118. Let z be k(-20). Let w(b) be the first derivative of 1/9*b**3 - b + 21 + 1/3*b**z. Let w(p) = 0. What is p?
-3, 1
Suppose -6026 = -385*q - 266*q + 484. Find d, given that -2/3*d**2 + q*d + 0 = 0.
0, 15
Let r = -56033/105 + 3960/7. Let q = -157/5 + r. Factor -2*u - u**3 - q - 13/6*u**2 - 1/6*u**4.
-(u + 1)**2*(u + 2)**2/6
Let t(m) be the third derivative of 9*m**6/80 - 7*m**5/40 - 5*m**4/4 - m**3 - 4*m**2 + 135. Factor t(f).
3*(f - 2)*(f + 1)*(9*f + 2)/2
Let k(m) be the second derivative of -m**6/105 - 11*m**5/70 + m**4/42 + 11*m**3/21 + 512*m. Find h such that k(h) = 0.
-11, -1, 0, 1
Let p(s) be the second derivative of -s**7/30 - 2*s**6/25 + 11*s**5/100 + s**4/5 - 2*s**3/15 - 230*s. Find i such that p(i) = 0.
-2, -1, 0, 2/7, 1
Let t = -619120 - -619122. Factor 2 - 1/2*q**t + 0*q.
-(q - 2)*(q + 2)/2
Let q be -5*((-33)/(-105) - (-10)/35). Let f be (q/2)/(6/12*-1). What is o in -7 - o**2 - 4*o + 10 - f = 0?
-4, 0
Let j be 676/264 - (-485)/(-32010). Determine q so that j*q + 6*q**2 + 6/11*q**4 - 2/11*q**5 + 46/11*q**3 + 0 = 0.
-2, -1, 0, 7
Solve -179 - 32 - 2240*o - 533 - 1698*o**2 - 18*o**3 = 0.
-93, -2/3
Suppose 0 = -2*y - 3*j - 6, -3*j = y - 1 + 7. Let q(v) = -v**3 - v**2 + 4*v. Let i be q(y). Determine x, given that -1/4*x**2 + 1/4*x + i = 0.
0, 1
Let f(z) be the first derivative of 3*z**4/16 + 35*z**3/4 - 219*z**2/8 + 111*z/4 + 3397. Determine j, given that f(j) = 0.
-37, 1
Suppose 4*o = 5*o + 4*x + 7, 2*x = -4*o + 42. Suppose 27 + o = 8*a. Solve -169*g**4 - 117*g**3 + 8 + 21*g + 36*g**2 + 350*g**2 - 124*g - a*g = 0 for g.
-2, 2/13, 1
Factor -172/15 - 34/3*w + 2/15*w**2.
2*(w - 86)*(w + 1)/15
Suppose 6 = i + 2*u - 10, i - 5*u + 19 = 0. Let w be (-12 + 6 + 3) | {
"pile_set_name": "DM Mathematics"
} |
vided by 14?
2
Calculate the remainder when 37369 is divided by 128.
121
What is the remainder when 8196 is divided by 19?
7
Calculate the remainder when 50461 is divided by 166.
163
What is the remainder when 22839 is divided by 7366?
741
Calculate the remainder when 6305 is divided by 1697.
1214
What is the remainder when 13122 is divided by 690?
12
Calculate the remainder when 2647 is divided by 156.
151
Calculate the remainder when 127573 is divided by 95.
83
What is the remainder when 14008 is divided by 59?
25
What is the remainder when 32660 is divided by 16?
4
Calculate the remainder when 4269 is divided by 1059.
33
What is the remainder when 44070 is divided by 198?
114
What is the remainder when 682 is divided by 38?
36
What is the remainder when 60203 is divided by 237?
5
What is the remainder when 13912 is divided by 925?
37
Calculate the remainder when 46301 is divided by 11307.
1073
Calculate the remainder when 30221 is divided by 31.
27
What is the remainder when 216321 is divided by 416?
1
What is the remainder when 63674 is divided by 86?
34
What is the remainder when 6352 is divided by 1580?
32
Calculate the remainder when 1811036 is divided by 168.
164
What is the remainder when 88847 is divided by 24?
23
Calculate the remainder when 1147182 is divided by 37.
34
Calculate the remainder when 10859 is divided by 3617.
8
What is the remainder when 9799 is divided by 625?
424
What is the remainder when 255200 is divided by 1251?
1247
Calculate the remainder when 4457 is divided by 154.
145
What is the remainder when 10940 is divided by 309?
125
Calculate the remainder when 367469 is divided by 183733.
3
Calculate the remainder when 30972 is divided by 10297.
81
What is the remainder when 26498 is divided by 92?
2
Calculate the remainder when 1714604 is divided by 162.
158
Calculate the remainder when 15375 is divided by 663.
126
What is the remainder when 6321 is divided by 574?
7
Calculate the remainder when 5650 is divided by 2747.
156
What is the remainder when 1762 is divided by 95?
52
What is the remainder when 216855 is divided by 1261?
1224
What is the remainder when 23579 is divided by 2947?
3
What is the remainder when 282446 is divided by 42?
38
Calculate the remainder when 12120 is divided by 1210.
20
What is the remainder when 3319451 is divided by 38?
37
Calculate the remainder when 15163 is divided by 17.
16
Calculate the remainder when 7696 is divided by 3838.
20
What is the remainder when 32103 is divided by 236?
7
Calculate the remainder when 4201 is divided by 465.
16
Calculate the remainder when 712893 is divided by 5.
3
Calculate the remainder when 8310403 is divided by 23.
20
What is the remainder when 520190 is divided by 127?
125
Calculate the remainder when 11955 is divided by 100.
55
What is the remainder when 31714 is divided by 244?
238
Calculate the remainder when 110427 is divided by 9.
6
What is the remainder when 3500 is divided by 192?
44
Calculate the remainder when 6322 is divided by 1409.
686
What is the remainder when 31618 is divided by 51?
49
Calculate the remainder when 25764 is divided by 1033.
972
What is the remainder when 4627 is divided by 210?
7
Calculate the remainder when 221136 is divided by 24568.
24
Calculate the remainder when 755019 is divided by 251671.
6
Calculate the remainder when 3731038 is divided by 697.
694
Calculate the remainder when 17506 is divided by 11.
5
What is the remainder when 81573 is divided by 20?
13
What is the remainder when 10777 is divided by 5383?
11
What is the remainder when 958604 is divided by 18?
14
Calculate the remainder when 12087 is divided by 205.
197
Calculate the remainder when 13750 is divided by 2732.
90
What is the remainder when 73428 is divided by 12238?
0
What is the remainder when 1456 is divided by 316?
192
Calculate the remainder when 13109 is divided by 2612.
49
What is the remainder when 187441 is divided by 6?
1
What is the remainder when 5771 is divided by 50?
21
Calculate the remainder when 27681 is divided by 29.
15
Calculate the remainder when 209300 is divided by 311.
308
What is the remainder when 89724 is divided by 4078?
8
Calculate the remainder when 510 is divided by 250.
10
Calculate the remainder when 112808 is divided by 7.
3
Calculate the remainder when 10819 is divided by 27.
19
Calculate the remainder when 4528 is divided by 2261.
6
Calculate the remainder when 91647 is divided by 333.
72
What is the remainder when 1345 is divided by 346?
307
What is the remainder when 252801 is divided by 36114?
3
Calculate the remainder when 5895 is divided by 930.
315
Calculate the remainder when 1993165 is divided by 16.
13
What is the remainder when 3731 is divided by 3205?
526
Calculate the remainder when 32513 is divided by 16236.
41
What is the remainder when 3775133 is divided by 94?
93
What is the remainder when 9194 is divided by 200?
194
What is the remainder when 1406814 is divided by 1083?
1080
Calculate the remainder when 571264 is divided by 18.
16
Calculate the remainder when 47490 is divided by 572.
14
What is the remainder when 30048 is divided by 190?
28
What is the remainder when 9222 is divided by 3020?
162
Calculate the remainder when 203763 is divided by 45.
3
What is the remainder when 213577 is divided by 15251?
63
What is the remainder when 1445 is divided by 163?
141
What is the remainder when 1273 is divided by 25?
23
Calculate the remainder when 13378 is divided by 69.
61
What is the remainder when 9125 is divided by 678?
311
Calculate the remainder when 14174 is divided by 4721.
11
What is the remainder when 776979 is divided by 70632?
27
What is the remainder when 18535 is divided by 111?
109
Calculate the remainder when 237877 is divided by 76.
73
Calculate the remainder when 1345676 is divided by 1421.
1410
Calculate the remainder when 1943 is divided by 1317.
626
Calculate the remainder when 5493 is divided by 1138.
941
What is the remainder when 20013 is divided by 3329?
39
What is the remainder when 7292 is divided by 365?
357
Calculate the remainder when 1163580 is divided by 14.
12
Calculate the remainder when 406 is divided by 236.
170
What is the remainder when 440816 is divided by 279?
275
What is the remainder when 1468 is divided by 175?
68
Calculate the remainder when 1142 is divided by 110.
42
What is the remainder when 3208 is divided by 573?
343
Calculate the remainder when 3427 is divided by 695.
647
Calculate the remainder when 24009 is divided by 69.
66
What is the remainder when 51203 is divided by 16937?
392
What is the remainder when 246332 is divided by 2415?
2
Calculate the remainder when 6105 is divided by 1939.
288
Calculate the remainder when 8300 is divided by 738.
182
Calculate the remainder when 39116 is divided by 31.
25
What is the remainder when 12100 is divided by 881?
647
What is the remainder when 2333 is divided by 294?
275
What is the remainder when 2069 is divided by 409?
24
What is the remainder when 146910 is divided by 42?
36
Calculate the remainder when 745081 is divided by 1749.
7
Calculate the remainder when 10074 is divided by 788.
618
Calculate the remainder when 1056 is divided by 21.
6
What is the remainder when 1155 is divided by 533?
89
Calculate the remainder when 96895 is divided by 96895.
0
Calculate the remainder when 814181 is divided by 814179.
2
What is the remainder when 1546 is divided by 420?
286
What is the remainder when 16890 is divided by 103?
101
What is the remainder when 1176931 is divided by 851?
849
Calculate the remainder when 1512 is divided by 1261.
251
What is the remainder when 1085 is divided by 399?
287
Calculate the remainder when 189978 is divided by 1284.
1230
Calculate the remainder when 1074 is divided by 113.
57
What is the remainder when 41885 is divided by 13953?
26
Calculate the remainder when 2825 is divided by 107.
43
Calculate the remainder when 268758 is divided by 105.
63
Calculate the remainder when 221432 is divided by 110706.
20
Calculate the remainder when 93194 is divided by 181.
160
Calculate the remainder when 1640839 is divided by 40.
39
What is the remainder when 7373 is divided by 56?
37
Calculate the remainder when 688 is divided by 663.
25
Calculate the remainder when 9310 is divided by 1600 | {
"pile_set_name": "DM Mathematics"
} |
)
-2/23
Evaluate (-5*2/70)/((3/6)/(4753/(-14))).
97
Calculate (-6)/16*(-1951816)/8413.
87
What is the value of (87/(3915/(-75))*6/20)/((-10)/76)?
19/5
((-108)/66)/(2/(-22))*-20*(-21)/840
9
Evaluate (5/30)/((140/30*3)/(-4)).
-1/21
What is the value of ((-2)/(6*-2))/((-653)/((-726136)/(-18348)))?
-1/99
(-21)/(-63)*108/44*(-12)/(-27)*-3
-12/11
(13/(260/105))/((-234)/624)
-14
What is the value of -67*29/11658*(-8)/10?
2/15
Evaluate 1*5*((-125294)/(-2440))/(-79).
-13/4
Evaluate (1255/2510)/((-1)/10).
-5
Calculate (-3*(-72)/(-28))/(1365/(-3185)).
18
What is the value of (-70)/(-110)*5/(-20)*-88?
14
(8/(-84)*-45)/((94/2)/987)
90
Evaluate ((-4)/((-1024)/80))/(6/((-132)/11)).
-5/8
((-27)/(-855))/(20/((-1600)/(-12)))
4/19
What is the value of (-18*(-11)/1320)/(6/(-16))?
-2/5
What is the value of (((-274428)/286)/(-154))/(1/13)?
81
Evaluate 174/116*(84/(-9))/7.
-2
What is the value of (((-48)/(-15))/(-4))/(((-855)/45)/(-1425))?
-60
What is the value of ((-57)/(-38))/((-9)/816*2)?
-68
What is (-80)/(-700)*(-105)/(-90)*(-3)/(-6)?
1/15
Calculate 8*6/18*360/32*7/(-5).
-42
Calculate ((240/5)/(-12))/((21/(-7))/(-18)).
-24
What is the value of (((-34278)/(-1740))/(-197))/(21/(-10))?
1/21
What is (-3)/3*(-64)/(3008/(-611))?
-13
((-33)/36*(-2)/(-3))/(4408/(-9918))
11/8
What is 868/(-10)*(-379)/(55713/210)?
124
What is the value of (-126)/(-4)*(-20166)/10083?
-63
Evaluate (12/44*(1584/22)/(-24))/((-6)/4).
6/11
What is (-5)/55*(-57772)/(-6565)?
-4/5
What is (2/15)/((-3)/(-75))*(-24300)/7200*-4?
45
88*14/(-4)*(-24)/168
44
(-1)/(((-4)/(-430))/(3/(8*95/(-304))))
129
What is the value of (24/30)/((1078/770)/((-7)/(-58)))?
2/29
What is ((-522)/(-3248))/(56/(-448))?
-9/7
7*-5*-8*5*15/((-18000)/96)
-112
What is (74/(-22274))/(11/(-473))?
1/7
Calculate ((-7)/12)/(((-110)/11)/300*3).
35/6
What is the value of (376376/(-23023))/((-4)/23)?
94
What is ((-226)/(-452)*(-3)/((-9)/(-21)))/((-28)/496)?
62
Calculate (10/76)/((-11900)/9520).
-2/19
(-25)/6*75/(-125)*228/10
57
((-8)/(-24))/(98896/(-15894))
-3/56
Evaluate 150/4*(-147)/(-588)*(-32)/70.
-30/7
Calculate ((-230)/(-8)*1368/(-10260))/((-2)/18).
69/2
What is (216/(-156))/(-1*(-5)/(-195))?
54
Calculate (((-2)/(-9))/(6/(-10143)*-23))/(6/(-18)).
-49
What is the value of -77*(-140)/440*4/14*4?
28
What is 7/9*(-408)/340*(-70)/11956?
1/183
What is 464/46284*(-399)/456?
-1/114
What is the value of -14*4/16*(5/(-55))/(48/(-1056))?
-7
What is 3*-4*1838/(-237102)?
4/43
What is 2*(-69)/23*63/18?
-21
What is (((3680/3800)/(-23))/((-4)/(-10)))/(-5)?
2/95
Evaluate (-602)/1677*1092/(-28).
14
Evaluate ((-104560)/(-30061))/((-4)/(-46)).
40
Evaluate ((2279392/(-815))/304)/((1/3)/((-5)/3)).
46
What is ((-3230)/1292)/(((-1860)/(-672))/31)?
-28
Evaluate -11*(57120/374)/56.
-30
What is (((-1220)/3)/(-4))/(118/((-16284)/(-230)))?
61
Evaluate (((-16)/(-3))/2)/((-501360)/(-15980850)).
85
What is ((-12)/54*3)/(5/(-45)*114)?
1/19
Calculate (4/(-856)*-6)/((-25)/(2550/153)).
-2/107
What is the value of (16/(-32))/((-18)/75)*30*8/10?
50
Evaluate (12/(-18))/((-12)/(-672)*320/120).
-14
(-41)/(2870/7)*(-35)/(4/8*-4)
-7/4
Calculate (-12*(-8)/(-120))/(-1*12/150).
10
Evaluate (24/(-70))/((-134)/469)*32/(-3)*5.
-64
What is the value of ((48/(-1020))/1)/((-180)/(-1350))?
-6/17
(0/(-4)*(275/(-22))/(-25))/(-3)
0
Evaluate (59598/(-4158))/((45/540)/((-2)/(-8))).
-43
What is -8*96/((-144)/3)?
16
What is ((-1640)/(-6765))/(6/27)?
12/11
((-3)/(-2))/(((-11376)/(-7176))/(-79)*65/(-40))
46
What is the value of 1951/(-257532)*528/(-4)?
1
Evaluate ((-650)/(-117)*((-819)/5)/(-21))/((-2)/3).
-65
What is the value of -3*-27*423/(-729)?
-47
Evaluate 14640/1708*35/6.
50
Calculate ((-18)/(-248))/(46*(-387)/(-23736)).
3/31
What is ((405768/106)/(-116))/((-1)/7*-3*1)?
-77
What is (((-2)/2)/2*-1)/((-23511)/(-11064))?
4/17
(-152090)/3405*((-16)/(-40))/((-8)/(-30))
-67
What is ((-644)/230)/(98/14)?
-2/5
Calculate (14926/(-7902)*(-3)/1411)/(2/(12/(-1))).
-2/83
(-72)/((-170)/(-51)*3)*15/(-6)
18
What is the value of (-117)/((-811512)/272)*9*(-2)/4?
-3/17
What is (-333)/30*(392/(-686))/(6/(-7))?
-37/5
488/(-976)*(-204)/(-2)
-51
What is (14*(-2)/(304/133))/(1/(-8)*-2)?
-49
Evaluate 75*2*4097/61455.
10
(1050/(-140))/((-143640)/304)
1/63
What is ((-64)/((-441600)/225))/(21/(-28)*-1)?
1/23
What is the value of (13/((-52)/24))/((322/4025)/(27/75))?
-27
Calculate (649/1947*6/(-8))/(2*1/464).
-58
What is ((294/(-14))/(-1575))/(60/(-100))?
-1/45
22/4*(114/(-627))/((-1)/11)
11
What is the value of 18/(-81)*36/(-1)*(-87)/116?
-6
Calculate 57/4*5090/4581*6/5.
19
What is 4/9*3*(1197/(-3990))/((-122)/(-10))?
-2/61
What is ((-5)/(-3))/(10/(-30))*34/(-595)*77?
22
Evaluate (654/(-1635))/((-6)/(-12780)*-6).
142
What is the value of (122/(-183))/((-54)/3483)?
43
((-4801)/(-48010))/(1/100)
10
What is the value of ((-158125)/(-5060))/(15/(-12))?
-25
Evaluate (138/2)/(((-18)/(-20))/((-74)/(-5550)*-45)).
-46
What is 30/15*12*(-30)/48?
-15
(44/(-8))/(((-28)/(-112))/((425/10)/(-17)))
55
What is the value of 84/8*((-4)/(-6))/(756/54)?
1/2
What is -100*(((-16)/96)/((-10)/(-3)))/((-117)/(-1404))?
60
70/35*3*20/130
12/13
Evaluate 85*(-36)/1836*(-522)/15.
58
What is the value of ((-1068900)/(-2160))/509*4/5?
7/9
Calculate (-163296)/1120*(-130)/(-234).
-81
Calculate ((-21)/((-1386)/(-12)))/(920/1380).
-3/11
What is the value of (-2)/((28060/(-2898))/(-61)*(-7)/(-3))?
-27/5
Calculate 330/55*27/90*(-4)/306.
-2/85
What is the value of (289/(44506/112))/(4/2)?
4/11
Calculate (-2)/24*(-423)/(1222/26).
3/4
Evaluate (7/8)/((78/(-12))/13*1)*5.
-35/4
What is (((-784)/175)/(-8))/(5144/16075)?
7/4
What is ((-129)/(-9))/(((-12)/9)/((-312)/(-78)))?
-43
Calculate 66/21*66*(-1610)/34155.
-88/9
((-138)/161)/(474*3/12*(-28)/98)
2/79
What is ((-4446)/(-1794))/(-57)*(-2)/10?
1/115
((-538)/(-220580))/(2/(-12))*3/((-12)/(-20))
-3/41
What is the value of (4/10)/((-710)/33725)?
-19
Evaluate 448/(-18400)*-25*23.
14
4/102*(2542/(-41))/62
-2/51
What is the value of ((-4)/1*(-6)/60)/((-33)/5280)?
-64
Evaluate ((-4)/10)/(196/1536640*112).
-28
Evaluate (-5)/(-6)*(-36280)/(-3628).
25/3
Evaluate 8/(-48)*(-90)/(-4)*(-28)/(-42)*-28.
70
(1566/3915)/((-1)/90*2)
-18
Calculate (20/(-45))/(174/(-783))*-2.
-4
((-24990)/(-10829))/(8/26)
15/2
Calculate (-39)/(-26)*(5/27)/(78/117).
5/12
(((-522)/180)/(-29))/((-6)/(-1980))
33
What is (21/(-6))/((-56)/40)*14?
35
Calculate 7*14*-1*((-254)/1397)/(16/(-44)).
-49
What is the value of ((107/((-1571295)/66))/((-12)/(-10)))/(6/18)?
-1/89
Calculate (-3)/(-1)*(1848/(-33))/(-168)*74.
74
Calculate 190/(-114)*(-38)/10*(-12)/4.
-19
Calculate (-102)/17*3*(-11)/8415.
2/85
What is ((-19)/(2584/(-48)))/(225/(-75))?
-2/17
Calculate ((15510/121)/(-235))/((-3)/11).
2
(288/(-40))/9*(14/(-28))/(1/(-25))
-10
What is 20/5*-33*(3330/135)/37?
-88
((-4)/7)/((113680/686)/(-5))
1/58
255/((-408)/24)*18/(-54)*(-6)/8
-15/4
(-4469335)/4742*(2/(-4))/((-117)/(-36))
145
Evaluate 1208/9060*45/(-6).
-1
What is (-2)/(-4)*5*14/(-5)*(-190)/(-38)?
-35
What is ((-792)/(-693))/(((-952)/49)/(-4))?
4/17
Calculate (-16380)/6786*(-116)/8.
35
Evaluate (-1287)/(-39)*(-9)/441*7.
-33/7
What is (-1*(-2)/(-6)*(-138)/(-874))/(19/57)?
-3/19
What is (-5)/((-80)/(-6))*14*(-53776)/(-13444)?
-21
Calculate 1644/685*(-2)/((-680)/(-75)).
-9/17
Evaluate ((-5)/((-5)/(-6))*(-320)/(-864))/(140/(-90)).
10/7
((-13)/((-936)/(-90)))/((80155/92)/17)
-1/41
2*84/(9072/1674)
31
What is the value of 16715/6686*4*1*4/(-230)?
-4/23
What is the value of (-368)/(-456)*38*((-225)/(-10))/15?
46
What is (-80)/(-50)*(-3805)/(-770132)?
2/253
What is the value of ((-90)/55*(-1)/3)/(-33*(-42)/121968)?
48
What is the value of (45/16920)/((27/(-24))/(-9))?
1/47
Evaluate 39/(429/(-550))*(-32)/(-80).
-20
Calculate (-1)/(((-706)/3177)/((464/(-36))/1)).
-58
What is the value of -120*(45/(-27))/5*5/5?
40
What is (((-11500)/(-75))/23)/(6/36)?
40
Evaluate (-2870)/615*(-7)/(490/(-570)).
-38
Calculate 9/(-5472)*19*-4*144.
18
((-8)/4)/(11880/45)*3
-1/44
Calculate ((-34)/(306/405))/((-6)/42*7).
45
What is (180*(-72)/(-720))/(9/6*19)?
12/19
Evaluate 3*((-7)/343*(-210)/12)/((-2)/(-4)).
15/7
Evaluate (4/10)/(42*26/16380)*(-1)/381.
-2/127
What is the value of (-980)/(-2520)*-135*-2?
105
What is the value of 28/(-21)*(27/(-18))/((-34)/(-1258))?
74
Evaluate 146/((-94)/(-2068)*-44).
-73
Evaluate (((-114)/12)/(((- | {
"pile_set_name": "DM Mathematics"
} |
585.592
2556236 times 67
171267812
What is 4 times 13369131?
53476524
Multiply 9610 and -1252.
-12031720
531467 * -607
-322600469
What is -0.069 times -11820?
815.58
What is the product of 1.3 and 793519?
1031574.7
Product of 25356 and 107.
2713092
Calculate 10212.1*0.053.
541.2413
Multiply 55492558 and -0.2.
-11098511.6
What is 8770436 times -4?
-35081744
-2447812*-0.01
24478.12
Work out -2091943 * -3.
6275829
What is the product of 268005 and 7.48?
2004677.4
-54824.1*3
-164472.3
-64.7 * -4618.8
298836.36
What is -0.2 times -10122388?
2024477.6
What is the product of 0.01868804 and 4?
0.07475216
Work out 1464 * 78615.
115092360
Calculate -3.348*1.895.
-6.34446
-939880070 times 0.4
-375952028
Work out -31604 * 19.89.
-628603.56
What is 538763 times 5?
2693815
Calculate -10.6883*-26.
277.8958
-145.5 times 11819
-1719664.5
-6457.14*-8.3
53594.262
Calculate 7079*211.
1493669
0.0545036*10
0.545036
-56.7 times -2465.7
139805.19
Work out 1.481 * -25346.
-37537.426
-9443027 * 0
0
Calculate -0.9*5.281624.
-4.7534616
-0.21401 times 5384
-1152.22984
What is -11308782 times 8?
-90470256
0.5 * -20818400
-10409200
11 times 3222482
35447302
Work out -16.7 * 0.11458.
-1.913486
Multiply -1.7 and -260.24527.
442.416959
Product of -26939 and 0.089.
-2397.571
85122292 * -4
-340489168
-0.3 * 8804644.5
-2641393.35
What is 3720.4617 times -0.2?
-744.09234
Calculate -5253*3613.
-18979089
What is -189596 times 0.005?
-947.98
-11.357123 times 0.5
-5.6785615
75506604*0.1
7550660.4
-20220*0.382
-7724.04
Multiply 5489689 and -0.4.
-2195875.6
-13725172 * 0.2
-2745034.4
-3033.8 * -161
488441.8
Work out -3739857 * 0.03.
-112195.71
0 times 622.58433
0
-138815.9*116
-16102644.4
Calculate -9*-1.0318.
9.2862
Product of 426.48 and -17.
-7250.16
-24.579 * -117
2875.743
What is the product of -338 and 27.3479?
-9243.5902
What is -90.60456 times 0.05?
-4.530228
Multiply -0.4 and -28022060.
11208824
-77 * 457.909
-35258.993
Multiply -5725 and 58925.
-337345625
Product of -0.5 and 6346915.
-3173457.5
-45 times 7327
-329715
What is -0.0754079 times -0.054?
0.0040720266
Product of 812.31 and -0.4.
-324.924
-32.9434*32
-1054.1888
Multiply 440.5329 and -2.
-881.0658
Work out 69055656 * 0.1.
6905565.6
-2.7146 * 430
-1167.278
Product of 4 and -142604.5.
-570418
What is the product of -319113 and 0.68?
-216996.84
What is the product of -0.11508 and -8145?
937.3266
Product of 293798074 and -3.
-881394222
-8697 times -370
3217890
What is the product of 4.017841 and -0.27?
-1.08481707
Product of 28186 and -269.
-7582034
190 * -788910
-149892900
0.1 * 1.79794912
0.179794912
Multiply -1198019 and -2.3.
2755443.7
131.06*-6690
-876791.4
10 * -46467279
-464672790
-13.9295 times -0.25
3.482375
Product of -4196093 and -15.
62941395
0.2 times 148.54148
29.708296
What is -0.622121 times 0.19?
-0.11820299
-0.05 * 2838.561
-141.92805
Calculate -8*-156670.
1253360
Work out 3 * -4153376.
-12460128
Calculate 0.5*-9.972379.
-4.9861895
Multiply 1.4 and 137.06909.
191.896726
20 times 810989
16219780
1623256 * 78
126613968
What is 4 times -11.1182644?
-44.4730576
Work out 23651 * 15478.
366070178
Work out 0.2 * 5826214.
1165242.8
What is 211.1034 times 0.99?
208.992366
Multiply 831 and -0.046894.
-38.968914
What is the product of 0.2 and -16834927?
-3366985.4
Calculate -18384065*-1.
18384065
What is the product of 59882 and -0.45?
-26946.9
-0.06023 * -0.0747
0.004499181
-1.27 * 0.0706447
-0.089718769
2233361.89 * 1
2233361.89
What is the product of -1610815 and -0.06?
96648.9
Calculate 3.815*-102.3.
-390.2745
0.3*-25204.25
-7561.275
224505.45*2
449010.9
What is -3518874 times -2?
7037748
Work out -812182908 * 0.2.
-162436581.6
-0.4*-228.8436
91.53744
Calculate -430614*0.45.
-193776.3
Calculate -27*33.7316.
-910.7532
Multiply 0 and -1405686.4.
0
Calculate -1.1*-10.13314.
11.146454
-2.509 * -2.16342
5.42802078
What is -1116 times 0.057584?
-64.263744
160*251472
40235520
Multiply 7.8592 and 15.97.
125.511424
-0.1*0.0331428
-0.00331428
4*1336742
5346968
What is -1 times 5569.91?
-5569.91
Product of 390021 and 84.
32761764
Work out 4 * 9.30173.
37.20692
-281 * -0.2816
79.1296
Multiply 0.245812 and -1392.
-342.170304
What is -0.06881477 times 0.19?
-0.0130748063
Work out 543.5217 * -57.
-30980.7369
What is -0.4 times 4046779?
-1618711.6
Work out -132909 * 502.
-66720318
Product of -1121 and -0.09493.
106.41653
Work out 0.1 * 0.084484852.
0.0084484852
Multiply 3.512941 and 1.5.
5.2694115
10637422*-6.7
-71270727.4
-525206*1.6
-840329.6
6309.324 times -0.5
-3154.662
Product of -2990346 and 10.
-29903460
What is the product of 0.89169 and -614?
-547.49766
What is the product of -65.6077 and -6?
393.6462
Calculate -3236.6*-10.65.
34469.79
What is the product of -980 and 1541?
-1510180
-29 times -3031
87899
Multiply -16.59329 and 4.67.
-77.4906643
Calculate -5*1613000.8.
-8065004
Work out 87.09 * -1110.
-96669.9
Calculate 8*75446.64.
603573.12
Multiply 11.7857 and 0.88.
10.371416
Calculate -3*-5800.256.
17400.768
Multiply 0.2 and 13061705.
2612341
What is the product of 639.909 and 0.009?
5.759181
What is 0.08155594 times 0.1?
0.008155594
24 times -2660.664
-63855.936
11.040928 times 1
11.040928
0.39 * 564018
219967.02
Product of 0.3 and -3.268959.
-0.9806877
What is -0.058 times 215629?
-12506.482
Calculate 51062639*0.2.
10212527.8
What is 0.2 times -8856549?
-1771309.8
Product of 0.14 and -52332.18.
-7326.5052
Work out 44.21 * -32620.
-1442130.2
What is -35.6027 times 0.771?
-27.4496817
Calculate 18326*0.05.
916.3
What is 0.06758 times -19935?
-1347.2073
Work out 0.05 * -2.148014.
-0.1074007
-513.512 times -6.2
3183.7744
Calculate -624*-377.
235248
What is the product of 0.09 and -0.27521089?
-0.0247689801
Calculate -7*-6558439.
45909073
Product of -45613 and 0.04151.
-1893.39563
Calculate 4749.5*-18.52.
-87960.74
What is 0.4 times 326662416?
130664966.4
Multiply 136.973 and -0.3.
-41.0919
Multiply 1.45 and 5178914.
7509425.3
What is the product of -2243.5 and -27127?
60859424.5
-2101607 * -0.136
285818.552
-0.2 times 0.5130455
-0.1026091
Product of -69700678 and -0.2.
13940135.6
423001001*-0.1
-42300100.1
7.8167 * -0.5
-3.90835
Calculate -24.1585*22.4.
-541.1504
Product of 0 and 2.03093.
0
Multiply 0.2 and -20082.8.
-4016.56
0.5 times 2167623
1083811.5
Calculate -1.488*-4696.
6987.648
Calculate -4*-3467648.
13870592
Product of -198516750 and 4.
-794067000
Product of 8716.1 and 1.031.
8986.2991
4.341144 * 4
17.364576
Multiply 3560.3 and 0.
0
Multiply -199 and 284.4.
-56595.6
What is the product of 1504 and -0.09509?
-143.01536
Calculate 0.727*32973.
23971.371
Work out -79350808 * -4.
317403232
Product of -7.9 and -132807.7.
1049180.83
Work out -1609 * -358.71.
577164.39
What is -627 times 687?
-430749
Multiply 15 and 331607.16.
4974107.4
Calculate 22*-1230350.
-27067700
Work out -305878792 * 2.
-611757584
What is 66826 times -8876?
-593147576
Multiply -0.1 and -2194296.
219429.6
Multiply 0.04 and -485562.
-19422.48
93 * -115433
-10735269
-27.327528*0.3
-8.1982584
Multiply 0.5 and -740.7561.
-370.37805
What is the product of -2 and 9485356?
-18970712
Work out -9965 * 882.
-8789130
Product of -0.3858 and 8309.
-3205.6122
88.38061 * -2
-176.76122
Calculate 1241*-11.993.
-14883.313
What is 0.5253 times -23.71?
-12.454863
-40*-819787.7
32791508
Product of -23052.7 and -118.
2720218.6
Calculate -0.005*55737.
-278.685
-6157.78 times 168
-1034507.04
-0.2 * 0.21862626
-0.043725252
Multiply 3550092 and 0.4.
1420036.8
What is the product of 0.05 and -111.24817?
-5.5624085
Multiply -3275665.7 and -2.
6551331.4
-0.0734311 times -304
22.3230544
Product of -284.2411 and 0.007.
-1.9896877
-3 * -11248801
33746403
What is the product of 19.249 and 14.7?
282.9603
-237 times -69192
16398504
What is 10527.3 times 900?
9474570
Multiply 623 and 2501.
1558123
-27154193*-0.19
5159296.67
What is the product of -3678 and -1.0287?
3783.5586
Work out 288471 * 64.
18462144
0.09*-11825005
-1064250.45
173769443 * 7
1216386101
Multiply 1304 and 2441.
3183064
-2145173*-34
72935882
Work out -979189 * -2.
1958378
-0.49138*-1117
548.87146
Calculate -0.692178*0.263.
-0.182042814
What is the product of 0.1837793 and -0.65?
-0.119456545
22134089*0.1
2213408.9
672 * 13387
8996064
1.0743612 * 1
1.0743612
What is -24.5282 times -583?
14299.9406
Product of -2 | {
"pile_set_name": "DM Mathematics"
} |
- 508. Give p(-64).
4
Let g(p) = -95*p + 759. Determine g(8).
-1
Let c(q) = 16*q**2 - q + 1. Calculate c(1).
16
Let x(i) = -i - 19. Determine x(-16).
-3
Let l(v) = -57*v + 349. Calculate l(6).
7
Let y(i) = i**2 - 22*i + 51. Give y(21).
30
Let m(u) = u**3 + 54*u**2 + 105*u + 54. Determine m(-52).
2
Let a(t) = -2*t**2 - 2*t + 5. Determine a(0).
5
Let z(m) = -m**2 - 19*m - 82. Determine z(-13).
-4
Let r(o) = -o**3 - 13*o**2 - 55*o - 366. Calculate r(-11).
-3
Let h(m) = m**3 + 3*m**2 + 2*m - 2. Give h(-4).
-26
Let f(y) = y**3 + 24*y**2 - 23*y + 47. Give f(-25).
-3
Let r(f) = f + 16. Give r(-13).
3
Let s(b) = -b**2 + 14*b - 13. What is s(6)?
35
Let g(p) = 8*p - 31. Give g(6).
17
Let o(w) = -2*w - 13. Give o(-12).
11
Let z(c) = 52*c - 525. Give z(10).
-5
Let g(w) = -4*w + 46. Calculate g(22).
-42
Let h(c) = -c + 8. Determine h(8).
0
Let v(y) = -y**3 + 7*y**2 + 8*y + 2. Determine v(8).
2
Let k(x) = 3*x + 35. Determine k(-12).
-1
Let c(r) = -r**3 + 5*r**2 + r - 2. Give c(4).
18
Let a(l) = l**3 - 15*l**2 - 16*l - 7. Give a(16).
-7
Let c(t) = 2*t + 6. Determine c(-12).
-18
Let b(l) = 3*l**3 + 3*l**2 + 3*l + 2. Calculate b(-2).
-16
Let w(j) = j**2 - 9*j - 4. Determine w(10).
6
Let m(h) = -5*h**2 + 119*h - 83. What is m(23)?
9
Let f(q) = q**3 + 6*q**2 + 9*q - 3. Calculate f(-5).
-23
Let j(m) = -2*m**3 + 6*m**2 + 2*m + 6. Determine j(4).
-18
Let u(a) = -2*a**3 + 4*a**2 - 10*a - 5. Determine u(5).
-205
Let f(l) = -l**2 + 7*l + 5. Give f(7).
5
Let o(h) = -h**3 + 3*h**2 - 4*h + 7. Calculate o(3).
-5
Let d(l) = l**3 - 5*l**2 + 7*l - 16. Give d(3).
-13
Let b(j) = -2*j - 2. Calculate b(-7).
12
Let g(f) = -f + 12. Calculate g(15).
-3
Let l(z) = -z**2 + 38. Give l(0).
38
Let t(w) = -18*w - 12. Give t(-7).
114
Let i(q) = -5*q**3 + 5*q - 2. Give i(-2).
28
Let k(o) = -o**3 + 2*o**2 - 2*o + 37. Calculate k(4).
-3
Let d(f) = f**3 - 22*f**2 + f - 27. Determine d(22).
-5
Let q(b) = -5*b + 11. What is q(6)?
-19
Let w(a) = -25*a + 151. Give w(5).
26
Let n(p) = -9*p - 5. What is n(-2)?
13
Let k(q) = q**3 - 6*q**2 - 15*q - 7. Determine k(8).
1
Let h(s) = -s**3 - 3*s**2 + 8*s + 8. Determine h(-5).
18
Let k(r) = -r**3 - 22*r**2 + 24*r - 38. Give k(-23).
-61
Let r(b) = -2*b + 24. Give r(12).
0
Let x(c) = c**3 - 6*c**2 - 13*c + 3. What is x(7)?
-39
Let m(o) = o**3 + 8*o**2 - 15*o - 9. Determine m(-9).
45
Let c(r) = r**3 - 8*r**2 - 28*r + 167. What is c(9)?
-4
Let i(l) = -l**2 + 7*l - 12. Give i(2).
-2
Let u(h) = -22*h - 1. Calculate u(4).
-89
Let t(z) = -z**2 + 13*z - 22. Calculate t(11).
0
Let z(u) = -u**2 + 3*u + 1. Give z(0).
1
Let d(n) = -n**3 - 28*n**2 + 29*n - 18. Give d(-29).
-18
Let g(s) = -s**3 + 10*s**2 - 28*s + 19. Determine g(6).
-5
Let t(f) = -33*f - 3. Calculate t(-1).
30
Let n(x) = x**3 - x**2 + x - 1. What is n(1)?
0
Let u(z) = 56*z - 1400. Give u(25).
0
Let l(f) = f**2 + 15*f + 10. Calculate l(-13).
-16
Let y(v) = -v**2 + 15*v + 6. Determine y(12).
42
Let t(z) = 6*z + 1. Calculate t(1).
7
Let p(x) = 17*x**2 + x + 1. Calculate p(-1).
17
Let f(s) = -s**2 + 5*s - 3. Determine f(-6).
-69
Let o(h) = 33*h + 268. What is o(-8)?
4
Let l(k) = k**2 + 11*k + 34. What is l(-8)?
10
Let k(w) = -w**2 - w + 32. Give k(-6).
2
Let p(f) = f**3 + 7*f**2 + 2*f - 5. What is p(-3)?
25
Let l(s) = s + 2. Calculate l(-13).
-11
Let h(p) = p**3 + 4*p**2 - 3*p - 8. Determine h(-4).
4
Let x(w) = -w**2 + 13*w + 7. What is x(17)?
-61
Let f(g) = g**2 - 15*g - 37. What is f(17)?
-3
Let j(y) = -2*y**3 + 18*y**2 + 2*y - 12. Determine j(9).
6
Let r(j) = -j**3 + 7*j**2 - 2*j - 2. Calculate r(5).
38
Let x(k) = k**2 - 4*k - 121. What is x(-9)?
-4
Let o(i) = -i**2 - 6*i - 5. Determine o(-6).
-5
Let b(j) = -j**3 + 15*j**2 - 16*j - 14. Give b(13).
116
Let i(k) = 2*k**2 + 13*k - 3. Determine i(-7).
4
Let x(p) = -p**2 - 12*p - 9. What is x(-8)?
23
Let s(l) = 2*l**2 + 2*l + 8. Determine s(-5).
48
Let d(r) = -r**3 - 15*r**2 - 15*r - 19. Give d(-14).
-5
Let k(c) = c**3 + 4*c**2 - 5*c - 25. Calculate k(-4).
-5
Let x(v) = -v**3 - 12*v**2 - 2*v - 15. What is x(-12)?
9
Let l(o) = -4*o**2 + 29*o - 9. Calculate l(6).
21
Let o(d) = 11*d**3 - 3*d**2 - 6*d - 3. Give o(-1).
-11
Let h(p) = p**3 - 8*p**2 + 3*p - 3. Calculate h(8).
21
Let o(k) = 13*k**2 + 4*k - 3. Determine o(2).
57
Let k(d) = 20*d - 236. Determine k(12).
4
Let w(u) = u**3 - 11*u**2 + 8*u + 9. Determine w(7).
-131
Let q(z) = -2*z - 21. Determine q(-10).
-1
Let d(c) = 3*c**3 - 4. Calculate d(-2).
-28
Let y(s) = -3*s + 60. Give y(20).
0
Let x(s) = s**2 - 10*s + 4. Give x(7).
-17
Let w(i) = -8*i - 8. What is w(-2)?
8
Let g(y) = -y**3 + 2*y**2 + 4*y - 7. Give g(3).
-4
Let r(a) = -a**2 + 3*a + 2. What is r(-2)?
-8
Let i(r) = r**3 - 18*r**2 + 7*r + 3. What is i(18)?
129
Let f(h) = -10*h - 145. Determine f(-15).
5
Let b(r) = -2*r + 45. Calculate b(7).
31
Let i(v) = -2*v + 16. What is i(10)?
-4
Let y(c) = 4*c**3 - 2*c + 1. Give y(2).
29
Let f(i) = -i**3 + 22*i**2 - 5*i + 102. Calculate f(22).
-8
Let q(b) = -3*b**2 - 10*b + 23. Give q(3).
-34
Let r(h) = h**3 - 12*h**2 + 14*h - 22. Calculate r(9).
-139
Let u(g) = -g - 7. Determine u(-10).
3
Let l(s) = -s**3 + 2*s**2 + 4*s - 3. What is l(3)?
0
Let f(v) = -v**2 + 21*v + 26. Give f(22).
4
Let f(w) = -w**2 - 12*w - 10. Calculate f(-9).
17
Let u(m) = -5*m**2 + 91*m - 22. Determine u(18).
-4
Let k(q) = -q**3 + 9*q**2 + 7. Calculate k(9).
7
Let p(m) = -m**2 + 3*m + 7. Give p(5).
-3
Let g(b) = b**2 - 4*b - 2. Calculate g(3).
-5
Let d(b) = -2*b**3 - 7*b**2 + 14*b. What is d(2)?
-16
Let d(f) = f**3 + 4*f**2 + f - 6. Calculate d(-2).
0
Let h(y) = y**2 - 18*y + 71. What is h(7)?
-6
Let a(z) = z - 46. Give a(0).
-46
Let y(d) = d**3 - 18*d**2 + 19*d - 4. Give y(17).
30
Let x(u) = u**3 + 4*u**2 - 5*u - 1. Determine x(-5).
-1
Let q(m) = -m**2 - 26. What is q(0)?
-26
Let s(w) = 12*w**3 + 2*w**2 - 1. Determine s(-1).
-11
Let w(f) = f**2 + 9*f - 5. Give w(-10).
5
Let f(u) = -u**2 + 13*u - 15. Give f(13).
-15
Let q(h) = 3*h - 52. Give q(20).
8
Let o(l) = -7*l**2 - 4*l. Give o(-3).
-51
Let h(q) = q**3 + 9*q**2 + 9*q - 3. Give h(-8).
-11
Let u(c) = 7*c - 83. What is u(11)?
-6
Let w(x) = x**3 - 15*x**2 - 15*x - 21. Give w(16).
-5
Let r(z) = 17*z - 22. What is r(7)?
97
Let u(v) = v**2 + v - 1. Calculate u(-8).
55
Let j(p) = 2*p**2 - 3*p - 6. What is j(3)?
3
Let q(a) = -a - 2. Calculate q(10).
-12
Let k(j) = -j**2 - 3*j + 4. Determine k(-6).
-14
Let y(s) = -13*s**2 - 7*s - 1. What is y(-1)?
-7
Let q(t) = -6*t**2 - t - 1. Calculate q(-1).
-6
Let j(z) = 4*z + 7. Determine j(11).
51
Let d(w) = w**3 + 6*w**2 + 16*w + 56. What is d(-5)?
1
Let o(p) = -p**2 + 5*p + 35. Determine o(8).
11
Let y(u) = -u**3 + 8*u**2 - 2*u - 2. Give y(8).
-18
Let t(h) = h**3 + 35*h**2 - 34*h + 80. Determine t(-36).
8
Let l(o) = -2*o**3 + 9*o**2 + 3*o + 12. What is l(6)?
-78
Let h(w) = w**3 + 8*w**2 + 12*w - 6. Determine h(-6).
-6
Let v(l) = -l + 18. What is v(-8)?
26
Let w(q) = 151*q + 1. What is w(1)?
152
Let q(x) = -47*x + 278. Determine q(6).
-4
Let p(s) = -s - 14. What is p(7)?
-21
Let b(f) = 6*f - 38. Calculate b(10).
22
Let t(o) = -19*o. What is t(-4)?
76
Let m(b) = 132*b + 4. Determine m(-1).
-128
Let w(t) = -2*t**2 - 14*t - 28. Calculate w(-3).
-4
Let z(p) = p**2 - 9*p + 27. Calculate z(4).
7
Let q(u) = -u**3 + 23*u**2 - 41*u - 21. Give q(21).
0
Let p(u) = -u**3 - 5*u**2 + u + 12. Determine p(-5).
7
Let g(p) = -p**3 + 25*p**2 - 145*p + 7. Determine g(9).
-2
Let s(j) = -4*j + 5. Determine s(-1).
9
Let u(w) = -w**2 - 9. Give u(0).
-9
Let p(d) = d**3 + 7*d**2 + 5*d - 16. Give p(-6).
-10
Let f(y) = y. Determine f(2).
2
Let g(d) = -16*d + 64. Give g(6).
-32
Let f(g) = 7*g**2 - g - 2. Give f(-1).
6
Let o(b) = b**2 - b - 1. What is o(2)?
1
Let w(a) = a**3 + 6*a**2 + 5*a + 2. Calculate w(-4).
14
Let y(f) = -f**3 - f**2 + 23*f + 54. Calculate y(-3).
3
Let a(d) = d + 4. Calculate a(-4).
0
Let z(x) = x + 9. Determine z(0).
9
Let z(f) = -2*f**2 - 27*f + 6. Calculate z(-14).
-8
Let u(z) = -13*z - 7. Determine u(3).
-46
Let k(w) = w + 15. Determine k(-7).
8
Let h(k) = 3*k - 16. Determine h(8).
8
Let d(v) = -v**2 + 3*v + 5. Calculate d(5).
-5
Let c(t) = 2*t + 16. Give c(-8).
0
Let y(l) = l**3 + 10*l**2 + 2*l + 3. Determine y(-10).
-17
Let u(x) = x**2 - 2*x - 10. What is u(6)?
14
Let c(t) = 2*t**3 + 12*t**2 - 4. Calculate c(-6).
-4
Let s(z) = 6*z. What is s(2)?
12
Let h | {
"pile_set_name": "DM Mathematics"
} |
8288238322*y - 8367015580 = 0.
-1, 110, 6167
Let g**3/11 + 113675*g**2/11 - 31004*g - 1136780/11 = 0. Calculate g.
-113678, -2, 5
Suppose 16*n**4 + 14369488*n**3 - 28739020*n**2 + 17961896*n - 3592380 = 0. Calculate n.
-898095, 1/2, 1
Find b such that -3*b**4/2 + 219*b**3/2 - 279*b**2 - 2478*b - 2940 = 0.
-2, 7, 70
Let 2*o**2 + 4228320*o + 42283000 = 0. Calculate o.
-2114150, -10
Find m, given that -2*m**5/11 + 4*m**4 + 1596*m**3/11 + 5488*m**2/11 - 73402*m/11 - 374556/11 = 0.
-13, -7, 7, 42
Determine z, given that -2*z**5 + 3194*z**4 - 9428*z**3 - 216376*z**2 - 650000*z - 561088 = 0.
-4, -2, 11, 1594
What is q in -2*q**4/3 + 26260*q**3/3 + 4092094*q**2/3 - 2754320*q + 1381536 = 0?
-156, 1, 13284
Factor 1418*t**3/17 - 34008*t**2/17 - 576*t/17.
2*t*(t - 24)*(709*t + 12)/17
Factor w**2 + 46677264*w + 46677263.
(w + 1)*(w + 46677263)
Determine t, given that -2*t**2/13 + 1259210*t/13 = 0.
0, 629605
Find d such that -9075*d**2/2 - 3989535*d/2 - 1753872123/8 = 0.
-24179/110
Determine q, given that 14*q**5/9 + 151034*q**4/9 + 60907848*q**3 + 687150435296*q**2/9 + 64635328429568*q/9 + 3073198822304/3 = 0.
-3562, -102, -1/7
Suppose m**5/7 + 4225*m**4/7 - 196470*m**3/7 - 16900*m**2/7 + 785864*m/7 = 0. What is m?
-4271, -2, 0, 2, 46
Determine q so that q**2 + 9410636*q - 18821276 = 0.
-9410638, 2
Determine l, given that -l**5/2 + 8141*l**4 - 38946048*l**3 + 44980715520*l**2 = 0.
0, 1690, 7296
Factor -3*l**2 + 259965*l - 519918.
-3*(l - 86653)*(l - 2)
Factor -4*m**2 + 89811596*m.
-4*m*(m - 22452899)
Factor p**2/6 - 10825*p/6 + 114784.
(p - 10761)*(p - 64)/6
Suppose -2*r**3/15 - 98968*r**2/15 - 81767168*r - 3584993280 = 0. Calculate r.
-24720, -44
Suppose -n**2/2 - 188517*n + 1885195/2 = 0. Calculate n.
-377039, 5
Find w such that -3*w**3/4 - 30459939*w**2 - 309269294627907*w = 0.
-20306626, 0
Suppose 1388*t**3 + 68004*t**2 + 774112*t - 4464 = 0. Calculate t.
-31, -18, 2/347
Find b such that -2*b**5/11 + 1872*b**4/11 + 40022*b**3/11 + 15012*b**2 - 45936*b = 0.
-12, -11, 0, 2, 957
Find r such that 162*r**3/5 + 1005282*r**2 - 29045536*r/5 + 41956616/5 = 0.
-31033, 26/9
Find y such that 18*y**2 + 223010*y + 39654832 = 0.
-12209, -1624/9
Factor -4*f**4/3 - 7304*f**3/3 - 4353892*f**2/3 - 310303136*f - 21658683072.
-4*(f + 172)**2*(f + 741)**2/3
Suppose 7*r**3 - 16564*r**2 - 2959575*r + 9027612 = 0. Calculate r.
-1188/7, 3, 2533
Determine l, given that 800*l**5 + 9314984*l**4/5 - 22957252*l**3 - 93168004*l**2/5 + 30807508*l/5 - 121732/5 = 0.
-2341, -1, 1/250, 1/4, 13
Factor 5*t**2 - 14731845*t - 44195580.
5*(t - 2946372)*(t + 3)
What is g in 2*g**4 + 9750*g**3 - 176030*g**2 + 577290*g - 411012 = 0?
-4893, 1, 3, 14
Determine a, given that a**4 + 4186*a**3 + 5755468*a**2 + 2586230454*a - 2591990109 = 0.
-1563, -1061, 1
Let -5*y**4 + 37530*y**3 - 69946985*y**2 + 38623494240*y - 76967500700 = 0. Calculate y.
2, 1237, 5030
Find h such that h**3/3 + 1133*h**2 + 101006*h/3 - 71872 = 0.
-3369, -32, 2
Suppose -2*n**3 + 284394*n**2 - 6824592*n + 40945824 = 0. Calculate n.
12, 142173
Factor 5*v**3 - 2998095*v**2 + 449424184275*v + 1348299535815.
5*(v - 299811)**2*(v + 3)
Let 2*l**4 + 12394*l**3 - 750386*l**2 + 2840342*l - 2102352 = 0. What is l?
-6257, 1, 3, 56
Determine s so that -4*s**4/5 - 72408*s**3/5 - 1084548*s**2/5 + 12152992*s/5 - 26624064/5 = 0.
-18087, -23, 4
Suppose 18*b**3 + 2767791*b**2 - 5074344*b = 0. What is b?
-153768, 0, 11/6
Factor -i**2/6 + 11302*i/3 - 802393/2.
-(i - 22497)*(i - 107)/6
Determine u, given that u**3/5 - 6905*u**2 - 276273*u/5 + 310797/5 = 0.
-9, 1, 34533
Let -3*p**3/5 + 17855754*p**2/5 - 14284596*p + 71422968/5 = 0. What is p?
2, 5951914
Suppose 4*u**2 + 218344096*u + 2979634016128576 = 0. Calculate u.
-27293012
Determine i, given that 93*i**5 + 74763*i**4 - 3469347*i**3 + 7034577*i**2 - 3960630*i + 320544 = 0.
-848, 3/31, 1, 42
Find p, given that 4*p**5/5 + 1336*p**4/5 + 111588*p**3/5 - 3483216*p**2/5 - 533383488*p/5 + 1628377344/5 = 0.
-132, 3, 59
Factor 498980*m**2 + 4989755*m - 450.
5*(m + 10)*(99796*m - 9)
Factor -g**3 + 10554*g**2 + 147967*g - 158520.
-(g - 10568)*(g - 1)*(g + 15)
Solve 18451*l**2/2 - 18457*l + 12 = 0.
12/18451, 2
Find c, given that 5*c**3 - 35515*c**2 + 63926875*c - 3047733605 = 0.
49, 3527
Let -2*t**4/7 + 2*t**3/7 + 922*t**2/7 - 126*t - 2520 = 0. Calculate t.
-21, -4, 5, 21
Find q such that -2972*q**4 + 8223512*q**3 - 8181404*q**2 - 16474272*q - 66384 = 0.
-1, -3/743, 2, 2766
Solve -s**3/3 + 4729*s**2 + 1951320*s + 595371164/3 = 0.
-202, 14591
Factor 2*c**2 + 132228592*c + 2185550067787808.
2*(c + 33057148)**2
Find b, given that b**2 - 13493816*b - 161925936 = 0.
-12, 13493828
Let 10*r**3 - 37975888*r**2 + 151903528*r/5 - 30380704/5 = 0. Calculate r.
2/5, 3797588
What is w in -w**5 + 62362*w**4 - 1184601*w**3 + 5236812*w**2 = 0?
0, 7, 12, 62343
Factor n**2/3 - 3295*n/3 + 1197664/3.
(n - 2879)*(n - 416)/3
Find x, given that 65*x**5 + 605476*x**4 + 10285635*x**3 + 19034252*x**2 + 11585548*x + 2231520 = 0.
-9298, -15, -1, -8/13, -2/5
Solve 2*q**4 + 783044*q**3 + 76637690522*q**2 - 1379668714920*q + 6208794649800 = 0.
-195770, 9
Factor -2*z**3 + 1038*z**2 + 44568*z + 84968.
-2*(z - 559)*(z + 2)*(z + 38)
Factor a**4 + 2031*a**3 + 1293312*a**2 + 246010508*a.
a*(a + 347)*(a + 842)**2
Factor 3*n**3 + 13452165*n**2 + 15080122466829*n + 135720012578283.
3*(n + 9)*(n + 2242023)**2
Find a such that 5*a**2 - 37998680*a + 72194984087120 = 0.
3799868
Solve -w**5/9 - 232*w**4/3 - 34525*w**3/9 - 95822*w**2/3 - 442384*w/9 = 0.
-643, -43, -8, -2, 0
Determine d so that 4780*d**5 - 33472*d**4 - 334516*d**3 - 496280*d**2 + 1248*d = 0.
-4, -2, 0, 3/1195, 13
Solve 2*h**3/3 - 58942*h**2/3 + 412873648*h/3 + 319077529192/3 = 0 for h.
-701, 15086
Factor 192*b**3 - 4955472*b**2 - 1238877*b - 77430.
3*(b - 25810)*(8*b + 1)**2
Solve 4*b**4 + 296260*b**3 + 296236*b**2 - 1481268*b + 888768 = 0.
-74064, -3, 1
Let -2*f**2 - 265038*f + 58405160 = 0. Calculate f.
-132739, 220
Let -4*p**4 - 16648*p**3 - 83140*p**2 = 0. What is p?
-4157, -5, 0
Determine q so that -2*q**4 + 5811956*q**3 - 23247790*q**2 - 5811956*q + 23247792 = 0.
-1, 1, 4, 2905974
Find w such that -w**4/2 + 2353*w**3/2 + 1185*w**2 - 18824*w - 18832 = 0.
-4, -1, 4, 2354
Determine o so that -5*o**2 + 4970*o + 4183360 = 0.
-544, 1538
Find k such that 18*k**5/7 + 142916*k**4/7 - 604178*k**3/7 - 3447092*k**2/7 + 4798064*k/7 - 127104 = 0.
-7944, -4, 2/9, 1, 7
Factor 5*x**3 - 6268440*x**2 + 12536865*x - 6268430.
5*(x - 1253686)*(x - 1)**2
Factor j**2 + 4516*j - 13557.
(j - 3)*(j + 4519)
Factor -3*g**2 + 15516*g + 1517184.
-3*(g - 5268)*(g + 96)
Solve 6368*g**3 - 109128404*g**2 + 108916404*g + 205632 = 0.
-3/1592, 1, 17136
What is x in 32*x**5 + 43120*x**4 + 14412258*x**3 - 50904776*x**2 + 22747394*x - 2730660 = 0?
-710, -641, 1/4, 3
Suppose -147*x**3/4 + 79023*x**2/4 + 5409030*x + 307614300 = 0. What is x?
-740/7, 749
Factor -2*a**2/3 - 17758*a/3 + 355960/3.
-2*(a - 20)*(a + 8899)/3
Factor -u**3/5 - 2353*u**2/5 + 2829*u - 21231/5.
-(u - 3)**2*(u + 2359)/5
Let -2*h**3 - 12810*h**2 + 2810034*h - 151561862 = 0. Calculate h.
-6619, 107
Find p such that 2*p**3 - 24533800*p**2 + 75238417805000*p = 0.
0, 6133450
Factor z**2 + 370550*z.
z*(z + 370550)
Let u**5 - 1127*u**4 + 59512*u**3 - 593292*u**2 + 1659456*u = 0. What is u?
0, 6, 43, 1072
Find i such that -i**2 + 48418*i + 3151395 = 0.
-65, 48483
Factor 2*t**2/9 + 10112*t/3 + 480768.
2*(t + 144)*(t + 15024)/9
Factor -4*r**2 + 66221888*r + 132443792.
-4*(r - 16555474)*(r + 2)
Find n such that 4*n**5 + 18364*n**4 + 2483448*n**3 + 113459920*n**2 + 1733748832*n = 0.
-4453, -46, 0
Let -5*f**4 + 77445*f**3 + 464790*f**2 + 929660*f + 619800 = 0. What is f?
-2, 15495
Factor w**4/10 - 13234*w**3/5 + 175165221*w**2/10 - 175112289*w/5.
w*(w - 13233)**2*(w - 2)/10
Solve 5*p**4 + 20405*p**3 - 9946200*p**2 = 0 for p.
-4521, 0, 440
Factor -2*v**2 + 16956234*v + 16956236.
-2*(v - 8478118)*(v + 1)
Factor -5*w**3 - 238775*w**2 + 28245070*w.
-5*w*(w - 118)*(w + 47873)
Determine r so that 6*r**4/7 - 244570*r**3/21 + 18110*r**2/7 + 244570*r/21 - 2588 = 0.
-1, 2/9, 1, 13587
Determine j so that 3*j**4/2 - 351*j**3/2 - 8181*j**2 + 226902*j + 485100 = 0.
-50, -2, 22, 147
Let -67268096*j**3 + 1816247360*j**2 - 1657154*j/7 + 54/7 = 0. What is j?
1/15344, 27
Let -3*x**2/ | {
"pile_set_name": "DM Mathematics"
} |
-7402
What comes next: 2683, 2887, 3091, 3295, 3499?
3703
What is the next term in -296, -368, -458, -566, -692, -836?
-998
What comes next: -136, -232, -488, -982, -1792, -2996, -4672?
-6898
What comes next: -925, -3656, -8199, -14548, -22697, -32640, -44371?
-57884
What comes next: 43, 179, 315?
451
What is next in 796, 1548, 2298, 3046, 3792?
4536
What is next in -37, -50, -61, -70, -77, -82, -85?
-86
What is next in -163, -276, -395, -520, -651?
-788
What is the next term in -1009, -1951, -2905, -3877, -4873, -5899, -6961, -8065?
-9217
What comes next: -172, -172, -168, -160, -148, -132, -112?
-88
What comes next: -1557, -6271, -14147, -25185?
-39385
What comes next: 594, 2840, 6722, 12234, 19370, 28124, 38490?
50462
What is the next term in -11383, -45515, -102401, -182041, -284435, -409583, -557485?
-728141
What is the next term in 160, 134, 74, -38, -220, -490, -866, -1366?
-2008
What comes next: -24, 42, 158, 324, 540?
806
What is the next term in 531, 527, 537, 567, 623, 711, 837?
1007
What comes next: 2629, 5260, 7887, 10510, 13129, 15744?
18355
What comes next: 28346, 28342, 28338?
28334
What comes next: -377, -369, -357, -341?
-321
What is next in 250, 472, 596, 574, 358, -100, -848, -1934?
-3406
What comes next: -70, 42, 152, 260?
366
What comes next: 98, 88, 28, -124, -410?
-872
What is the next term in -6742, -13471, -20200, -26929, -33658?
-40387
What is the next term in -182, -2723, -6956, -12881, -20498?
-29807
What comes next: -25656, -25657, -25658?
-25659
What comes next: 1807, 1801, 1785, 1759, 1723, 1677, 1621?
1555
What is the next term in -1726, -1761, -1796, -1831?
-1866
What comes next: 3970, 7936, 11902?
15868
What is next in 224, 222, 212, 194, 168, 134?
92
What comes next: 1310, 5310, 11970, 21284, 33246, 47850?
65090
What comes next: 1352, 2706, 4058, 5408, 6756, 8102, 9446?
10788
What is the next term in 1690, 1682, 1674, 1666, 1658?
1650
What comes next: -27040, -27040, -27038, -27034, -27028, -27020?
-27010
What is the next term in 4234, 16941, 38122, 67777, 105906, 152509, 207586?
271137
What comes next: 2084, 2085, 2088, 2093?
2100
What is next in 379, 766, 1151, 1534, 1915, 2294, 2671?
3046
What is the next term in -7, 4, -27, -118, -287, -552, -931?
-1442
What is the next term in -21021, -42035, -63049, -84063, -105077?
-126091
What comes next: -76, -7, 204, 557?
1052
What is the next term in -1140, -4673, -10598, -18915, -29624, -42725?
-58218
What is next in 239, 564, 1019, 1604?
2319
What comes next: 157, 201, 245?
289
What is the next term in -1116, -4256, -9422, -16614, -25832, -37076, -50346?
-65642
What is next in -343371, -343373, -343375?
-343377
What comes next: 416, 1660, 3724, 6602, 10288?
14776
What is the next term in -180, -372, -562, -750, -936?
-1120
What comes next: 16481, 32960, 49427, 65876, 82301, 98696, 115055?
131372
What comes next: 83, 93, 85, 53, -9?
-107
What is next in 471, 1639, 3603, 6375, 9967?
14391
What comes next: -6076, -6072, -6068, -6064, -6060, -6056?
-6052
What comes next: 79, 204, 371, 580?
831
What is the next term in -234, -487, -748, -1023, -1318?
-1639
What comes next: 92916, 185830, 278744, 371658?
464572
What is the next term in -126334, -126365, -126386, -126391, -126374, -126329?
-126250
What is next in 5326, 21249, 47788, 84943, 132714?
191101
What is the next term in -1028, -1810, -2592, -3374?
-4156
What comes next: -32755, -32772, -32789?
-32806
What comes next: 27435, 27437, 27439, 27441, 27443?
27445
What is next in -340, -2868, -9796, -23338, -45708?
-79120
What is the next term in -157, -363, -579, -811, -1065?
-1347
What is the next term in -9724, -9716, -9704, -9688, -9668, -9644, -9616?
-9584
What is the next term in -969, -1707, -2445?
-3183
What comes next: 435029, 870058, 1305087?
1740116
What is next in 7138, 7147, 7160, 7177, 7198, 7223?
7252
What comes next: 14326, 28660, 43002, 57358, 71734, 86136, 100570, 115042?
129558
What is next in 1586, 3172, 4750, 6320, 7882, 9436, 10982?
12520
What is the next term in 16, 69, 152, 265, 408, 581, 784?
1017
What comes next: 167187, 167186, 167187, 167190, 167195?
167202
What is the next term in -2453, -382, 3069, 7900, 14111, 21702, 30673?
41024
What comes next: -1529, -5920, -13239, -23486?
-36661
What is the next term in 862, 1236, 2256, 4246, 7530, 12432, 19276?
28386
What comes next: -1031, -1043, -1053, -1061, -1067?
-1071
What is next in -1463, -2904, -4359, -5834, -7335, -8868, -10439?
-12054
What is the next term in 1026, 2060, 3076, 4074, 5054, 6016, 6960?
7886
What is next in -814, -825, -840, -859, -882, -909, -940?
-975
What is the next term in -35, 22, 175, 472, 961, 1690?
2707
What is next in -18097, -18068, -18021, -17956, -17873, -17772, -17653?
-17516
What is next in -1641, -1681, -1707, -1713, -1693?
-1641
What is the next term in 53646, 107283, 160916, 214545, 268170?
321791
What is the next term in 33655, 134605, 302853, 538399, 841243, 1211385?
1648825
What is next in 2570, 5073, 7574, 10073, 12570, 15065, 17558?
20049
What is next in 1321, 1430, 1729, 2314, 3281, 4726?
6745
What is next in 9860, 10038, 10230, 10442, 10680?
10950
What is next in 3048, 5946, 8844, 11742?
14640
What comes next: 27019, 54043, 81067, 108091, 135115?
162139
What is next in 8246, 16580, 24924, 33284, 41666, 50076?
58520
What comes next: 853513, 853507, 853497, 853483, 853465, 853443, 853417?
853387
What is the next term in -944, -979, -1026, -1085?
-1156
What is the next term in -152745, -152747, -152749, -152751?
-152753
What is the next term in 253, 981, 2187, 3871, 6033?
8673
What is next in -21515, -21520, -21535, -21566, -21619, -21700, -21815?
-21970
What is the next term in -342, -388, -432, -474, -514, -552?
-588
What is next in 88, 351, 842, 1603, 2676, 4103, 5926, 8187?
10928
What is the next term in 789, 1773, 2755, 3735, 4713?
5689
What is the next term in 8182, 16400, 24642, 32920, 41246, 49632, 58090, 66632?
75270
What comes next: 468, 461, 450, 435, 416?
393
What is the next term in -1296, -2671, -4956, -8145, -12232?
-17211
What comes next: 614, 1018, 1450, 1922, 2446, 3034, 3698?
4450
What is the next term in -1501434, -1501432, -1501428, -1501422, -1501414?
-1501404
What is next in 9624, 19240, 28856, 38472?
48088
What is next in 701459, 701458, 701457?
701456
What is the next term in -702, -1364, -2026, -2688?
-3350
What is the next term in -360, -427, -612, -975, -1576, -2475, -3732, -5407?
-7560
What comes next: 367, 667, 973, 1285, 1603?
1927
What comes next: 127, 166, 187, 184, 151, 82?
-29
What is the next term in 665, 905, 1145?
1385
What is the next term in 84, 131, 212, 339, 524?
779
What comes next: -38, -29, -8, 25, 70?
127
What comes next: 154052, 154057, 154064, 154073, 154084?
154097
What comes next: -534924, -534922, -534920, -534918, -534916, -534914?
-534912
What is the next term in 4016, 3976, 3920, 3842, 3736, 3596, 3416?
3190
What comes next: 133691, 133688, 133685, 133682, 133679?
133676
What comes next: 185, 897, 2121, 3851, 6081?
8805
What is the next term in -33762, -33764, -33766, -33768?
-33770
What is the next term in -1844, -3866, -5888, -7910?
-9932
What is next in -121083, -242159, -363235, -484311, -605387, -726463?
-847539
What comes next: 3268, 6593, 9968, 13393, 16868?
20393
What comes next: 11203, 22420, 33635, 44848, 56059, 67268, 78475?
89680
What comes next: 1991, 3055, 4119, 5183, 6247?
7311
What comes next: 133736, 267472, 401208, 534944, 668680?
802416
What is the next term in -1542, -3094, -4640, -6180, -7714, -9242, -10764?
-12280
What is next in 1096228, 2192456, 3288684, 4384912?
5481140
What is next in 11958, 47857, 107684, 191433, 299098?
430673
What is the next term in -10524, -10632, -10752, -10890, -11052, -11244, -11472, -11742?
-12060
What comes next: -621, -1044, -1467?
-1890
What is next in -854, -1777, -2700, -3623?
-4546
What comes next: -296790, -296792, -296796, -296802, -296810, -296820, -296832?
-296846
What is the next term in -1709, -1789, -1929, -2135, -2413?
-2769
What is the next term in -221, -1901, -4687, -8573, -13553, -19621, -26771, -34997?
-44293
What comes next: -93418, -186837, -280256, -373675?
-467094
What is next in 2748, 6045, 9342, 12639, 15936?
19233
What comes next: 23960, 23943, 23906, 23843, 23748, 23 | {
"pile_set_name": "DM Mathematics"
} |
9
Which is the fourth biggest value? (a) 2/3 (b) -3/7 (c) -5 (d) 0.64
c
What is the fifth smallest value in 5, -5, 30, 4/7, -2/11?
30
What is the smallest value in 2/15, -5, -2, -1/2?
-5
What is the smallest value in -2/3, 1.0675, -0.3?
-2/3
Which is the fourth biggest value? (a) 4 (b) 1/40 (c) -0.1 (d) -1
d
What is the smallest value in -0.4, 0.5, 0.001?
-0.4
Which is the biggest value? (a) 4 (b) -28 (c) -0.3 (d) -56
a
What is the fifth smallest value in 1/3, -0.4, 1, -0.01, -27?
1
Which is the smallest value? (a) 0.4 (b) 2/3 (c) -5/2 (d) -3/4 (e) -4
e
Which is the fourth biggest value? (a) -0.009 (b) -0.05 (c) -3 (d) 1/3 (e) -2/9
e
What is the third smallest value in -41, -2/13, -27.6?
-2/13
Which is the fourth biggest value? (a) 0 (b) 51 (c) 2/3 (d) -3
d
Which is the third biggest value? (a) -4 (b) 2 (c) 2/5 (d) -77/5
a
Which is the third smallest value? (a) 123.6 (b) -0.5 (c) -0.4 (d) -4
c
What is the second smallest value in 4, 607/4, -4, 1/5, -3?
-3
Which is the third smallest value? (a) 0 (b) 1/2 (c) -1 (d) -243
a
What is the smallest value in -33, 4, 1?
-33
What is the second smallest value in 0, 3, 2/3, -3, -6?
-3
Which is the second biggest value? (a) 1/7 (b) 3/4 (c) 74/5
b
What is the third biggest value in -0.5, 12, 19, -0.2?
-0.2
What is the biggest value in 2/17, -12, -219?
2/17
Which is the biggest value? (a) 1/6 (b) -1/3 (c) -0.02 (d) 4 (e) -2/3
d
What is the third smallest value in 1/2, 54, 2/7, -3, -2?
2/7
What is the fourth biggest value in -5, 3/2, -0.0264, -0.5?
-5
What is the smallest value in -3/2, -9, -2/5, -1?
-9
What is the third smallest value in -1/32, -2, 0, -3?
-1/32
What is the biggest value in -2, 0.5, -29, 5, 1.2?
5
What is the second biggest value in -0.4, 0.09, -30, 2, -2?
0.09
Which is the fourth smallest value? (a) -8 (b) 3 (c) -0.9 (d) 1/5
b
What is the third smallest value in -1/4, 0.78, 1?
1
What is the biggest value in -0.2, 4, 3/22, 1/6?
4
Which is the fourth smallest value? (a) 3/2 (b) 0 (c) -2 (d) -0.5
a
Which is the second biggest value? (a) -1 (b) 1/5 (c) -6 (d) -0.3 (e) 3
b
Which is the second smallest value? (a) -2 (b) -9/17 (c) -0.3 (d) -6
a
Which is the second smallest value? (a) 4/5 (b) 0.07 (c) 0.03
b
What is the third biggest value in -5, -0.6, 5, 0.3?
-0.6
What is the third smallest value in -0.263, -1/2, 10?
10
Which is the second biggest value? (a) 2/5 (b) 3 (c) 0.05 (d) 5
b
Which is the second biggest value? (a) -2 (b) -1/29 (c) 0.1 (d) 5 (e) -5
c
Which is the third biggest value? (a) -0.3 (b) -5 (c) -0.2 (d) 8
a
What is the second smallest value in -2/5, 0, -62?
-2/5
Which is the third smallest value? (a) -0.02 (b) 4 (c) 0.2 (d) 1/4
d
Which is the second biggest value? (a) -5 (b) 1/7 (c) -5/6
c
What is the biggest value in -3, 164, 5?
164
What is the biggest value in -0.1, 10.67, 4/7?
10.67
Which is the third smallest value? (a) -0.1 (b) 0.25 (c) -5
b
Which is the biggest value? (a) -2 (b) -409/2 (c) 2
c
Which is the smallest value? (a) 5 (b) -12 (c) 1/8
b
What is the fourth biggest value in 0.3, -0.2, -2/49, -4?
-4
Which is the third smallest value? (a) 0.09 (b) -0.039 (c) -4
a
Which is the third biggest value? (a) -2/11 (b) 96 (c) -0.3
c
Which is the second biggest value? (a) -0.4 (b) 24 (c) -16
a
What is the fifth smallest value in -3, -2, 14, 3, 4?
14
Which is the biggest value? (a) 4 (b) 2793 (c) -1/2
b
Which is the smallest value? (a) 2 (b) 14 (c) 5 (d) 1/104 (e) -0.1
e
What is the second biggest value in 9, 2/3, 5/4, 3?
3
Which is the second smallest value? (a) 2 (b) -0.4 (c) 1299 (d) 0.1
d
Which is the smallest value? (a) 26 (b) -5 (c) -0.049
b
What is the fourth smallest value in 15, 5/3, 2/9, -2/5, 0.4?
5/3
Which is the second smallest value? (a) 5 (b) -1/10 (c) -176
b
Which is the third smallest value? (a) 20 (b) -13/2 (c) -4/5
a
Which is the third biggest value? (a) 3 (b) -1 (c) -0.1 (d) 6.1
c
Which is the third biggest value? (a) -0.5 (b) -3 (c) 0.3 (d) -2/33
a
Which is the smallest value? (a) -0.039 (b) -3 (c) 4/3 (d) 3
b
What is the third smallest value in -10, 2/9, -1/8, -0.5?
-1/8
Which is the biggest value? (a) 104 (b) 0 (c) -64
a
What is the fourth biggest value in 23, -202, 0.4, 2?
-202
What is the third biggest value in 1/5, 0.1, 4?
0.1
Which is the third biggest value? (a) 2/13 (b) -2/13 (c) -2/5 (d) -5
c
What is the second smallest value in -126.02, 3, -4?
-4
What is the second smallest value in 0.137, -3, 3?
0.137
Which is the biggest value? (a) 4 (b) -5 (c) -1 (d) 109
d
Which is the third smallest value? (a) 2/11 (b) 8 (c) -2/11 (d) 1/3
d
Which is the biggest value? (a) 6 (b) 21 (c) 1.9
b
Which is the second smallest value? (a) -2/9 (b) -6 (c) -2/13
a
Which is the second smallest value? (a) -0.02 (b) -5 (c) 1/6038
a
What is the second smallest value in -0.15, 0.1, 1/4, -16?
-0.15
What is the third smallest value in 3, -0.07, 0.3?
3
Which is the third biggest value? (a) 2/9 (b) -1/12 (c) 1/3 (d) -2 (e) -0.2
b
What is the third smallest value in -7, -2/7, -8?
-2/7
What is the smallest value in 20/9, 86, 3, 5?
20/9
Which is the fourth biggest value? (a) 3 (b) 0 (c) -20/71 (d) 1/4 (e) -2/3
c
Which is the fourth smallest value? (a) -4 (b) 0.4 (c) -8 (d) 2/3
d
Which is the third smallest value? (a) -1/5 (b) 1/4 (c) 11 (d) 10
d
Which is the second biggest value? (a) -5/4 (b) -2 (c) 3
a
What is the third biggest value in -3/4, 2, 4, 0.4?
0.4
Which is the third smallest value? (a) 1 (b) 3 (c) 0.01 (d) -1 (e) 54
a
Which is the second biggest value? (a) -1 (b) 2 (c) -4 (d) -3/16
d
Which is the third biggest value? (a) 0.5 (b) 11.3 (c) 5 (d) 2/7
a
What is the smallest value in 41, 2, -1.58?
-1.58
Which is the third biggest value? (a) 0.3 (b) -0.009 (c) -2/7 (d) 1
b
What is the second biggest value in -10, -5, -64, -0.2?
-5
What is the smallest value in 66, 1, 2/15, 1/6?
2/15
Which is the biggest value? (a) 2/121 (b) 3 (c) 0.3
b
Which is the second smallest value? (a) 14 (b) -3 (c) -0.1
c
Which is the biggest value? (a) 7/5 (b) -1/5 (c) 1.49
c
What is the biggest value in 10, 6, 4?
10
Which is the third smallest value? (a) 89 (b) -1 (c) -3 (d) -3/5
d
What is the third smallest value in -2/9, 3, -1/4?
3
Which is the second biggest value? (a) 0 (b) 10 (c) -10
a
Which is the biggest value? (a) 4 (b) -3/8 (c) -0.06 (d) -3 (e) -0.04
a
What is the third biggest value in -2/7, 2, 0, 5?
0
What is the fourth smallest value in -0.1, 2, 0.06, -2/3, -1/5?
0.06
Which is the fourth smallest value? (a) -6/7 (b) -5/4 (c) 0.2 (d) 0
c
What is the second biggest value in -3/20, -21, 2/9, -4/5?
-3/20
What is the smallest value in -4, -6, -1/2, -0.1?
-6
Which is the third biggest value? (a) 5 (b) 10 (c) 48
a
What is the third biggest value in -526, -1, 4, 2, -4?
-1
Which is the second biggest value? (a) 2/9 (b) -1/6 (c) 2/11 (d) 3 (e) 283
d
What is the second biggest value in 2/23, -1.21, -0.2, -0.4, 0?
0
What is the biggest value in -6/43, 3, 0.4?
3
What is the second smallest value in 7, 0.2, 8?
7
What is the fourth smallest value in 3/2, -1/6, 0, 0.03, -0.09?
0.03
Which is the third smallest value? (a) 3 (b) 0.1 (c) 1640 (d) -0.5
a
Which is the biggest value? (a) 0.4 (b) 3/2 (c) 2
c
Which is the second biggest value? (a) -2/17 (b) 0.04008 (c) -4
a
Which is the smallest value? (a) 1 (b) 2631 (c) 5
a
Which is the second smallest value? (a) 137/6 (b) -0.3 (c) -4
b
Which is the second smallest value? (a) -5 (b) -40 (c) -0.2 (d) -1/6
a
Which is the smallest value? (a) 0.3 (b) 0.1 (c) 0.34
b
Which is the second biggest value? (a) -3 (b) 4 (c) 1395
b
What is the smallest value in -0.2, -32, 0.2, -0.12?
-32
Which is the second smallest value? (a) -2 (b) -0.35 (c) 4 (d) 0.2
b
Which is the third biggest value? (a) 1 (b) -327 (c) -1
b
Which is the second smallest value? (a) -5 (b) 2/11 (c) -3/2 (d) -51/7 (e) 4
a
What is the third smallest value in -1/6, -11, -1, -0.1, 0?
-1/6
What is the biggest value in 2/583, 6/13, 1/11?
6/13
What is the smallest value in 36, -0.1, 2?
-0.1
What is the biggest value in -8, -0.4, -0.2, -1/15?
-1/15
W | {
"pile_set_name": "DM Mathematics"
} |
1 + t**5 + 2*t**5 - 4*t**5 - 2*t**5 - 14*t**3 - 30461*t + 30461*t.
-7*t**5 - 14*t**3
Expand ((-1 + 6 - 3)*(-394*i + 829*i - 383*i) - 3*i + 5*i + 0*i)*(-3*i + 3*i + i**3).
106*i**4
Expand (3*y**4 + 2*y**4 - 3*y**4)*(-6*y - 10*y + 6*y) + (1 - 1 - y)*(3*y**4 - 4*y**4 + 0*y**4) + 2*y**5 + 0*y**2 + 0*y**2 + (-2 + 2 - y**4)*(10*y - 8 + 8).
-27*y**5
Expand 0*h**2 + 3*h**2 + 0*h**2 + (-h + 0*h + 4*h)*(-5*h + 0 + 0).
-12*h**2
Expand (217*u**4 - 633*u**4 - 952*u**4)*(-u + u + u + (-3 + 2*u + 3)*(0 - 2 + 3) + 2*u + 0*u + 0*u + (4 + 0 - 2)*(-2*u - u + 5*u)).
-12312*u**5
Expand (2*b + 4*b - 5*b)*(-82*b**2 - 107*b**2 - 74*b**2).
-263*b**3
Expand (3 + 1 - 6 + 3 - 1 - 3 + (0 - 2 + 0)*(1 + 4 - 3) + 5 + 0 - 4 - 1 - 4 + 4)*(-31 + 8*w - 6 - 7*w)*(-2*w + 0 + 0).
14*w**2 - 518*w
Expand (-62 + 50 + 32)*(-13*a - 12*a + 9*a).
-320*a
Expand -248 + 248 + 84*z**3 + (-2*z**3 + 0*z**3 + 3*z**3)*(-2 + 3 - 3) - 2*z**2 + 6*z**3 + 2*z**2.
88*z**3
Expand (2*n - 2*n + 2*n)*(630 - 630 + 83*n**3).
166*n**4
Expand (0 + y + 0)*(2 - 8 + 2)*(-7*y**3 - 9*y**3 + 2*y**3).
56*y**4
Expand (-j + j + 2*j**3)*(-3*j**2 + 3*j**2 + 2*j**2) + 0*j**5 + 0*j**5 + 4*j**5 - 21*j**4 + 14*j**5 + 21*j**4.
22*j**5
Expand (-4*m**2 - 2*m**2 + 4*m**2)*(-3 + 3 + 2*m)*(-23*m - 72*m + 133*m).
-152*m**4
Expand (229 + 17*c**2 - 229)*(-32 - c + 2*c + 27).
17*c**3 - 85*c**2
Expand (2*b + 2*b + b)*(110*b**3 + 2080*b**2 - 2080*b**2 + 211*b**3).
1605*b**4
Expand (2*r**4 + 3 - 3)*(r + 0*r + 0*r) - 33*r**5 + 15*r**5 - 12*r**5.
-28*r**5
Expand (2 - 2 - 4*q**2)*(q**3 + 2*q**3 - 2*q**3) + 4 + 90*q**5 - 91*q**5 - 4.
-5*q**5
Expand (-5 + 5 - 2*y)*(y + 2 - 2)*(12*y + 3 - 3).
-24*y**3
Expand -6*q - 25*q + 12*q + 2*q + 4 - 4 + (-3*q - q + 5*q)*(-4 + 2 + 1) + (-2*q - 2*q + 3*q)*(4 - 1 + 3).
-24*q
Expand (2*l + 1 - 1)*(0 + 0 + 3) + 5 - 9*l - 20*l - 4.
-23*l + 1
Expand (-2*q + q - 3*q)*(19*q**3 + 6*q**2 - 6*q**2) + q**4 - 3*q**4 + 4*q**4.
-74*q**4
Expand (3*q**4 + 5*q**3 - 5*q**3)*(93*q + 42*q + 51*q).
558*q**5
Expand (-r - 3*r - 5*r)*(-2 + 7 + 1)*(0*r - r + 3*r).
-108*r**2
Expand (2*o - o + 0*o)*(20*o - 8*o - 9*o)*(2 - o - 2).
-3*o**3
Expand 4*z**5 - 5*z**5 - 2*z**5 + (-4*z - z + 4*z)*(-z + z**4 + z) - 14*z**5 + 18 - 18.
-18*z**5
Expand (-1 - 2 + 2)*(0 - 4 - 7)*(-2*s**3 - 8*s**4 + 2*s**3).
-88*s**4
Expand (1 + 0 - 2)*(0 - 2*s + 0) + (0*s + 3*s - s)*(3 + 0 - 5) - s + s - 2*s + 6*s + 9*s - 10*s.
s
Expand (-49*u - 6*u**2 + 49*u)*(-u - 2*u + 4*u)*(6*u + 2 - 2).
-36*u**4
Expand (-l + l - l)*(-6*l**2 - 18*l**2 + 145*l**2).
-121*l**3
Expand (j**3 + j - j)*(-4 + 0 + 5) + 0*j**3 - 2*j**3 - 2*j**3 - 7*j**3 - 4*j**3 - 6*j**3 + (-4*j + 5*j - 3*j)*(2*j**2 + 0*j**2 - 3*j**2).
-18*j**3
Expand (-l**5 + 6*l**5 + l**5)*(3 - 7 - 1) + 4 - 4 - l**5.
-31*l**5
Expand (-n**2 - n**4 + 3*n**4 - n - 7*n**2)*(19*n - 12*n + 13*n).
40*n**5 - 160*n**3 - 20*n**2
Expand (-t**4 + 4*t**4 - t**4)*(-4 + 0 + 6) + (-t**2 + 0*t**2 - t**2)*(-6*t**2 + 39*t**2 - 18*t**2).
-26*t**4
Expand (328 - 224 + 85 + 98)*(4*z + 3*z - 6*z).
287*z
Expand (-3*u + 0*u + 4*u)*(u**2 - 4*u - 5*u**2 + 2*u**2) + 3*u**3 - 6*u**3 + 0*u**3.
-5*u**3 - 4*u**2
Expand (-24 + 7 - 1)*(m**3 - 4*m**3 + 0*m**3).
54*m**3
Expand (-2*b - 3*b + 6*b)*(1 + 1 - 3)*(55*b - 62*b + 51*b).
-44*b**2
Expand (-1 + 1 + 1)*(a + a + 0*a) - 24*a - 16*a + 37*a + 1.
-a + 1
Expand (-12 + 5 + 2)*((-2*j + 3 - 3)*(0 + 4 - 3) - 1 - j + 1 - 2*j - 2*j + 8*j).
-5*j
Expand (-280187 - 2*z**2 - 3*z**3 + 280187 + 6*z)*(1 - 2*z - 1).
6*z**4 + 4*z**3 - 12*z**2
Expand -3*p + 3*p + 3*p**2 + (3*p - 2*p - 3*p)*(15*p - 11*p - 13*p).
21*p**2
Expand (-3 + 0 + 1)*(4*a - 3*a + 0*a) + 3*a - 1 + 1 - 9 - 172*a + 96*a + 83*a.
8*a - 9
Expand (1 - 1 - a)*((-3 - 2 - 5)*(-a - 3 + 3) - 7*a + 4*a - 3*a).
-4*a**2
Expand (-1 + 5 + 0)*(-2*o - 4 + 4)*(0 + 2 - 1)*(7 - 9 + 7).
-40*o
Expand (3*l - 3*l - l)*(2*l + 10 - 10)*(l - 2*l + 2*l) - 36*l**3 - 4*l**3 - 41*l**3.
-83*l**3
Expand (-2 + 2 + 2*a**4)*(1 - 1 + 4*a) - 10*a**5 + a**5 - 4*a**5 - 4*a**5 + 5*a**5 + 0*a**5 + (-3 + 5 - 3)*(-3*a**5 + 3*a**5 - a**5).
-3*a**5
Expand (-4*d - 2*d + 4*d)*(-1 + 4 - 2) - 47*d + 110*d + 30*d + 12*d.
103*d
Expand (-2 + 4*t + 2)*(-94 + 15 + 8)*(2*t**3 - 4*t**3 + 0*t**3).
568*t**4
Expand (0 + 2 - 9)*(-3*y**3 - 2*y**4 + 3*y**3)*(-2*y + y + 2*y) + (0*y**5 + 4*y**5 - 3*y**5)*(-4 + 2 + 0).
12*y**5
Expand (2*q**2 + 3*q**2 - q**2)*(-4 + 17 + 51) - 1 - 3*q**2 + 1.
253*q**2
Expand (-1 - 3 + 5)*(-15456 + 56*p + 15456).
56*p
Expand (0*p**2 - 4*p**2 + 6*p**2)*(p - 5 + 5) + 5*p**2 - 5582 + 2*p**3 + 5582.
4*p**3 + 5*p**2
Expand (q + 3*q - 5*q)*(-q - 2*q + q) + q**2 - 3*q**2 - 13*q**2 - 4*q**2 - 4*q**2 - 4*q**2.
-25*q**2
Expand (3*y**3 + 0*y**3 - y**3)*(-y + 2*y**2 + y) + 1 + y**5 - 1 + 0*y**5 - 6*y**5 + 2*y**5 + (5*y - 3*y - 11*y)*(1 - y**4 - 1).
10*y**5
Expand (-2*o**2 - 1 + 1)*(3 - 3 + o**3) + (0*o**2 + 8*o**2 + 2*o**2)*(-13 + 15 + 3*o**3 - 2*o**3).
8*o**5 + 20*o**2
Expand (-4 + 2 + 4)*(-2165*o + 99 - 20 + 2164*o).
-2*o + 158
Expand (-23 + 55 + 36)*(-2 - 4 + 2 - 1 - 3 + 2 - 3 + 1 + 1 + 0 - 4 + 6 + (2 - 5 + 2)*(-3 + 5 + 0) + 0 + 4 - 2 + 2 + 2 - 3 - 1 + 5 - 2)*(-3*c + 2*c + 3*c).
-272*c
Expand (0*a + 3*a - a)*(2*a - 4*a + 0*a) + 4*a**2 - 4*a**2 + a**2 + 9 + 5 - 7*a**2 - 13.
-10*a**2 + 1
Expand 4 + 2*l**5 - 4 + (-1218 - 723 + 2951)*(0*l**5 + 3*l**5 + 0*l**5).
3032*l**5
Expand (-1 + 1 + 3)*(-289*r - 21*r + 7*r).
-909*r
Expand (8*v**3 - v**3 + 9*v**3)*(-2*v + 1 - 1) + (10*v - 10*v - 2*v**2)*((0 + 2 + 0)*(-4*v**2 + v**2 + 4*v**2) - 2 + 2 + v**2).
-38*v**4
Expand (-3 + r + 3)*(r**2 - 3*r**2 + 3*r**2) + (4 + 0 - 2)*(-10 + 16*r + 10)*(-r - 2 + 2)*(3*r - 6*r + 2*r).
33*r**3
Expand ((-10 - 8 + 16)*(5 - 1 - 1) + (-1 + 2 - 2)*(2 - 3 - 1) - 3 + 4 - 2)*(h**5 + 0*h**5 - 5*h**5).
20*h**5
Expand 2*d**2 - 4*d**2 + d**2 + (6*d - d - 3*d)*(-2*d - 3*d + 4*d) + (-4 + 4 + 12*d)*(0 - 2 + 1)*(4*d - 3*d - 2*d).
9*d**2
Expand (-15*y + 23*y + 19*y)*(0*y**2 - 2*y**2 + 0*y**2).
-54*y**3
Expand (-85 + 3 - 23)*(2*n**3 + 6*n - 6*n).
-210*n**3
Expand (-907*n - 728 + 2170 - 724 - 718)*(2*n + 0*n - n).
-907*n**2
Expand (4*u - 2 + 2)*(8 + 4 - 5)*(-6 + 3 + 1).
-56*u
Expand (-104*q + 49*q - 1 + 73*q)*(2 - 6 - 2)*(-q + 0*q + 3*q).
-216*q**2 + 12*q
Expand (-3 + 4 + 0)*(2*i - 4*i + 3*i) - 4 + 4 - 2*i - 49 + 32*i + 32 + 16 + 3*i + 0*i + 0*i.
34*i - 1
Expand 87*g + 73 - 73 + (-4 + 2 + 1)*(3*g + 0*g - 2*g).
86*g
Expand (r + r - r)*(r**3 + 0 + 0 - r**2 + r**2 + r**3 + (5*r - 2*r - r)*(-2 + 2 + 2*r**2) + 0*r**2 - r**3 + 0*r**2 - 13*r**3 - 10*r**3 + 21*r**3).
3*r**4
Expand (-2*x**2 - 4 + 4)*(8*x**2 - 9 + 9) + (x - x - 2*x**3)*(4*x + 2 - 2).
-24*x**4
Expand -572*q**3 + 572*q**3 - 9*q**4 + (-4*q**2 + 3*q**2 + 3*q**2)*(3*q**2 - 4*q**2 + 2*q**2) + 2*q - 2*q - q**4.
-8*q**4
Expand (0*c + 0*c - 7*c**2 + 3 - 3 + c**2 + (c - 2 + 2)*(1 + c - 1))*(c - 1 + 1).
-5*c**3
Expand (16 - 16 + 4*v + (1 - 1 - 2*v)*(-2 + 3 + 0) + (2*v - v + 0*v)*(0 + 0 - 1) + (0 + 2*v + 0)*(1 + 1 - 3) - 4*v + 0*v + 3*v)*(2*v + v + 4*v).
-14*v**2
Expand (-77*p - 31*p - 6*p)*((-4*p + 5*p - 2*p)*(-4 + 2 + 4) - p + 3*p - p + p + 0*p - 2*p - 5*p + 4*p - p).
456*p**2
Expand (0*m**2 - 2*m**2 - 4*m**2)*(-4 + 2 + 5) + (2 - 6 + 3)*(5*m + 0*m - m)*(-3*m - 2*m + 0*m).
2*m**2
Expand 1589 - 33*h - 1589 + (-3 + 3 - 6*h)*(-1 + 5 - 1).
-51*h
Expand (3*i + 2*i**3 - 12 + 26 - 12)*(i + 0*i + 0*i).
2*i**4 + 3*i**2 + 2*i
Expand (-2 + c + 2)*(3*c**4 - c**4 - 3*c**4) - 44*c**5 - 113*c**3 + 179*c**5 + 113*c**3.
134*c**5
Expand (3*f + 90 - 90)*(-3 + 1 - 1 + (1 - 3 + 4)*(2 - 4 + 1)).
-15*f
Expand ((-3*h + 3*h - 2*h)*(2 + 1 + 0) + (2*h - 1 + 1)*(2 + 1 + 3) - 2*h - h + 2*h)*(2*h**2 - 2*h**2 - 3*h**4).
-15*h**5
Expand -k**5 + 7*k**4 - 5*k**2 - 7*k**4 + (-5*k**3 - 8*k**3 - 4*k**3)*(3 + k**2 - 3) - k**5 - k**4 + k**4.
-19*k**5 - 5*k**2
Expand (9*u + 7 - 24*u + 11*u)*(0 + u**2 + 0).
-4*u**3 + 7*u**2
Expand -16*k**2 - 12*k**2 - 67*k**2 - 14*k**2 + (4*k + k - 6*k)*(-2*k - k + k) - k**2 + 2*k - 2*k - 2*k**2 + 0 + 0.
-110*k**2
Expand (4 - r - 4)*(-2 - 1 + 1) - 1844 + 908 + 898 - r.
r - 38
Expand 2*l - 4*l + 0*l + 3*l + 3*l - 5*l + 3 - 3 + 2*l + 1 + 2*l - 1 + (1 - 2 + 0)*(-1 - 2*l + 1) + 4*l + 0*l - 2*l + 2*l + 0*l - l - l - 2*l + 4*l.
9*l
Expand 0 - 4*b**2 + 0 + (5 - 5 + 2*b)*(0*b - 4*b + 2*b) - 3*b**2 + 2 - 2.
-11*b**2
Expand (d**3 - 4*d**3 + 5*d**3)*(0 - 1 + 2) - 38*d**3 - 11*d**3 + 2*d**3.
-45*d**3
Expand | {
"pile_set_name": "DM Mathematics"
} |
tters picked without replacement from {n: 2, x: 1, o: 1, f: 6, i: 2}.
1/22
Three letters picked without replacement from qqcqc. What is prob of sequence cqq?
1/5
Calculate prob of sequence pll when three letters picked without replacement from {k: 2, l: 11, p: 1}.
55/1092
Two letters picked without replacement from {s: 2, t: 5, b: 4}. Give prob of sequence ss.
1/55
What is prob of sequence cpw when three letters picked without replacement from {p: 1, c: 4, h: 2, w: 2}?
1/63
Two letters picked without replacement from {z: 1, q: 1, k: 1}. Give prob of sequence qz.
1/6
What is prob of sequence wl when two letters picked without replacement from {r: 1, w: 1, l: 1, u: 1, e: 4}?
1/56
Three letters picked without replacement from yyyyyy. Give prob of sequence yyy.
1
What is prob of sequence ff when two letters picked without replacement from fafffffbfffffffffff?
136/171
What is prob of sequence bzw when three letters picked without replacement from xtbnbwbxtxttzxntnnb?
2/2907
Two letters picked without replacement from {o: 3, i: 3, g: 3, f: 3}. What is prob of sequence ii?
1/22
Two letters picked without replacement from {k: 3, h: 12, b: 2}. What is prob of sequence bk?
3/136
Calculate prob of sequence lxx when three letters picked without replacement from xxzxjjjjzjlzj.
1/286
Calculate prob of sequence hhp when three letters picked without replacement from hhvpv.
1/30
Four letters picked without replacement from {q: 3, z: 2, x: 3}. Give prob of sequence zxqq.
3/140
What is prob of sequence gg when two letters picked without replacement from {c: 3, g: 12}?
22/35
Calculate prob of sequence yyfy when four letters picked without replacement from {f: 1, n: 1, y: 11, b: 4}.
33/1904
Two letters picked without replacement from aiiaaiaaiiaai. What is prob of sequence ia?
7/26
What is prob of sequence ssfs when four letters picked without replacement from {s: 11, f: 1}?
1/12
What is prob of sequence kkgg when four letters picked without replacement from {v: 1, g: 8, q: 1, o: 6, k: 2, r: 2}?
14/14535
What is prob of sequence pccz when four letters picked without replacement from ipzpczczzc?
1/105
Four letters picked without replacement from djwwee. Give prob of sequence jwee.
1/90
Two letters picked without replacement from {w: 1, g: 3}. Give prob of sequence gg.
1/2
Calculate prob of sequence xqu when three letters picked without replacement from xqxuuqxqxxqx.
2/55
Four letters picked without replacement from pzzfpxxfzpz. Give prob of sequence xpfp.
1/330
Three letters picked without replacement from cucuwsscssuwusjusj. What is prob of sequence jss?
5/408
Three letters picked without replacement from {t: 2, p: 5, r: 1, o: 2, i: 1, q: 4}. Give prob of sequence ito.
2/1365
Four letters picked without replacement from {e: 4, z: 6, y: 5, m: 5}. Give prob of sequence myey.
10/2907
Four letters picked without replacement from {e: 7, b: 12}. What is prob of sequence bbbb?
165/1292
Two letters picked without replacement from qhhhqh. Give prob of sequence hh.
2/5
Calculate prob of sequence gh when two letters picked without replacement from hhhhgggghggg.
35/132
Two letters picked without replacement from {l: 1, x: 3, u: 2, r: 10}. What is prob of sequence xl?
1/80
Three letters picked without replacement from {p: 3, y: 4, t: 1, h: 1, s: 6, u: 5}. Give prob of sequence tph.
1/2280
Calculate prob of sequence pnib when four letters picked without replacement from ipbunbiiibbniiiiuii.
5/5814
Four letters picked without replacement from bvlvleevmed. What is prob of sequence bmel?
1/1320
Four letters picked without replacement from {q: 9, m: 11}. What is prob of sequence qqqm?
77/1615
What is prob of sequence xv when two letters picked without replacement from vvxxvxxxxdwxdxww?
1/10
Calculate prob of sequence mmn when three letters picked without replacement from jnnnnmnenunuuunmmn.
3/272
What is prob of sequence lo when two letters picked without replacement from uftol?
1/20
Two letters picked without replacement from vvzvhvvhh. Give prob of sequence hv.
5/24
Three letters picked without replacement from xzuho. Give prob of sequence hzx.
1/60
Calculate prob of sequence flo when three letters picked without replacement from flo.
1/6
What is prob of sequence xxx when three letters picked without replacement from wrdwdxdxxxwxd?
5/143
What is prob of sequence lllw when four letters picked without replacement from {w: 1, l: 11}?
1/12
Four letters picked without replacement from {n: 1, s: 3, k: 1}. What is prob of sequence nksk?
0
Three letters picked without replacement from {y: 1, m: 1, v: 2, t: 2, b: 1}. What is prob of sequence ymv?
1/105
Three letters picked without replacement from xdxxxxxxxdxxxxxxxxxx. What is prob of sequence xxx?
68/95
What is prob of sequence lo when two letters picked without replacement from {o: 1, x: 6, f: 1, l: 3, w: 8}?
1/114
Four letters picked without replacement from {g: 5, x: 4, e: 8}. What is prob of sequence geex?
1/51
Two letters picked without replacement from {f: 1, k: 1, t: 1}. What is prob of sequence tf?
1/6
Three letters picked without replacement from evmevemce. What is prob of sequence ece?
1/42
What is prob of sequence vn when two letters picked without replacement from nnnnnvnnnvnnnnnnvvnn?
16/95
Calculate prob of sequence qkkj when four letters picked without replacement from kqjjkjkkjjjjj.
4/715
Three letters picked without replacement from {s: 1, n: 7, r: 2}. What is prob of sequence rnn?
7/60
What is prob of sequence mss when three letters picked without replacement from {m: 9, v: 3, x: 4, l: 1, s: 2}?
1/323
What is prob of sequence qfqk when four letters picked without replacement from {f: 7, q: 3, k: 3}?
21/2860
Two letters picked without replacement from {f: 2, a: 2, b: 1, o: 1, x: 2}. What is prob of sequence fx?
1/14
Three letters picked without replacement from lmfmmamfwlssss. What is prob of sequence fsa?
1/273
Calculate prob of sequence eee when three letters picked without replacement from eeeee.
1
Calculate prob of sequence cy when two letters picked without replacement from {c: 1, y: 1, n: 7, w: 3}.
1/132
Calculate prob of sequence fhh when three letters picked without replacement from {f: 11, h: 9}.
11/95
Three letters picked without replacement from hwshwhsghhghg. What is prob of sequence whh?
5/143
Two letters picked without replacement from {h: 2, c: 8}. What is prob of sequence hc?
8/45
Calculate prob of sequence eon when three letters picked without replacement from nnnwoenwwnnnnwn.
3/910
What is prob of sequence ggh when three letters picked without replacement from {h: 3, f: 6, g: 3, o: 2, y: 1}?
3/455
What is prob of sequence sn when two letters picked without replacement from {g: 5, n: 1, u: 1, s: 4}?
2/55
Four letters picked without replacement from eegpwpepewlepwepppp. Give prob of sequence wwee.
5/2584
What is prob of sequence csvk when four letters picked without replacement from {t: 2, s: 1, c: 2, v: 2, k: 1}?
1/420
Calculate prob of sequence grbo when four letters picked without replacement from {t: 1, r: 1, o: 1, g: 1, b: 1}.
1/120
Two letters picked without replacement from {w: 1, s: 8, c: 6}. Give prob of sequence cw.
1/35
Two letters picked without replacement from pffpfffppf. What is prob of sequence fp?
4/15
Two letters picked without replacement from {q: 7, m: 6}. What is prob of sequence mq?
7/26
Four letters picked without replacement from {g: 2, r: 6}. What is prob of sequence rrgg?
1/28
What is prob of sequence fqa when three letters picked without replacement from rrfbahqb?
1/336
Calculate prob of sequence nvn when three letters picked without replacement from vvvvnvvn.
1/28
Three letters picked without replacement from {q: 7, s: 5}. Give prob of sequence sss.
1/22
Calculate prob of sequence gn when two letters picked without replacement from {o: 1, g: 1, n: 14}.
7/120
Calculate prob of sequence rqqr when four letters picked without replacement from {q: 3, r: 3}.
1/10
Calculate prob of sequence jrr when three letters picked without replacement from {n: 1, j: 8, r: 7, t: 1}.
7/85
Calculate prob of sequence bxii when four letters picked without replacement from {x: 1, i: 14, b: 5}.
91/11628
Calculate prob of sequence tt when two letters picked without replacement from {v: 16, t: 4}.
3/ | {
"pile_set_name": "DM Mathematics"
} |
15701908 wrt t?
98384388*t**3
What is the second derivative of d*n**2*z + 21*d - n**2*z + 47763*n**2 - 10*n*z - 39592*n wrt n?
2*d*z - 2*z + 95526
Find the second derivative of 431*b**3 - 311809*b**2 + 512157837*b.
2586*b - 623618
Find the second derivative of -22*k**2*m**3*z**2 - 47515*k**2*z**2 - 6295*k**2 + 7*m**3*z + 2*m**3 - 2*z wrt z.
-44*k**2*m**3 - 95030*k**2
Find the third derivative of -52661702*m**3*s**3 - 553720*m**2*s**2 + 3*m**2*s - 6*m**2 + 3*m*s**3 + s wrt m.
-315970212*s**3
What is the third derivative of -431588685*n**3 - 186*n**2 - 138268*n wrt n?
-2589532110
What is the derivative of -564*q**2 + 185819*q + 366996456?
-1128*q + 185819
Find the second derivative of -68666881*d**5 - 2*d**4 + 2*d**2 - 29*d - 3926528 wrt d.
-1373337620*d**3 - 24*d**2 + 4
What is the derivative of 270*a**2 + 90*a + 6339162 wrt a?
540*a + 90
Find the first derivative of -24*c*d**2 + 6*c*d - 6888*c + 598*d**2 + 18*d - 795 wrt d.
-48*c*d + 6*c + 1196*d + 18
What is the second derivative of 682*h**3 - 45543*h**2 - 4384819*h?
4092*h - 91086
What is the first derivative of 207013806*l**2 + 97090978?
414027612*l
What is the derivative of -24647192*k**2 - 93221304?
-49294384*k
Find the third derivative of -37*s*z**3 + 183*s*z**2 + 3465*s*z + 30274*z**3 wrt z.
-222*s + 181644
What is the third derivative of 16851379*b**3 + 13424*b**2 + 3113 wrt b?
101108274
What is the second derivative of -70*c**5 - 18*c**4 + 340*c**2 + 62913332*c wrt c?
-1400*c**3 - 216*c**2 + 680
What is the second derivative of 2342548*p**5 - p**2 - 10633657*p wrt p?
46850960*p**3 - 2
What is the second derivative of -12480274*c**3 - 17905611*c wrt c?
-74881644*c
Differentiate -2*k*x + 2*k - 17*x**2 - 1705236*x - 43165297 with respect to x.
-2*k - 34*x - 1705236
What is the third derivative of 34940730*h**3 + 21605270*h**2 wrt h?
209644380
What is the third derivative of -349520201*j**4 + 261610156*j**2?
-8388484824*j
What is the second derivative of -7155787*g**2 + 7680320*g wrt g?
-14311574
What is the first derivative of 180308*a + 6077048 wrt a?
180308
Find the third derivative of -24357546*i**5 - 62062217*i**2 wrt i.
-1461452760*i**2
What is the third derivative of -5644*a**4 - 378*a**3*x**2 + 2*a**2*x**2 - 4*a**2*x - 936*a*x**2 - a + 30*x**2 + 2*x wrt a?
-135456*a - 2268*x**2
What is the third derivative of -58*g**3*p*r**3 + 4705*g**3*r**3 + 13*g**3*r - g**2*p*r - 2*g*p*r + 3*g*r**2 - 2*p*r + 1670*p wrt r?
-348*g**3*p + 28230*g**3
Differentiate -9753644*b + 11061711.
-9753644
Find the second derivative of -1444062*z**2 + 2347692*z wrt z.
-2888124
Differentiate -2*a*h - 16993596*a + 6058080*h - 1 with respect to h.
-2*a + 6058080
Differentiate -2092633*d*v + d - 3*v + 11764008 wrt d.
-2092633*v + 1
What is the first derivative of 1101*a*d**3 + 10*a - d**2 + 7*d + 8573 wrt d?
3303*a*d**2 - 2*d + 7
Find the third derivative of 35858096*v**4 - 456*v**2 - 6*v - 5841 wrt v.
860594304*v
Differentiate -120133322*u**2 - 2*u - 8410016 with respect to u.
-240266644*u - 2
Differentiate 25304492*f*s**2*t**3 + 2*f*s**2 + 16699*s**2 - 361*s*t**3 + 3*s*t wrt f.
25304492*s**2*t**3 + 2*s**2
Find the second derivative of -8511066*u**2 + 78026969*u.
-17022132
What is the second derivative of 242*i**2*p**2 - 5816*i**2*p + 6*i*p**2 + 108*i*p - 281*p**2 - 2*p wrt i?
484*p**2 - 11632*p
What is the derivative of -c*j**2 + 39593809*c - 99736716*j**2 wrt j?
-2*c*j - 199473432*j
Find the third derivative of 80*i*x*z**3 - 63*i*z**3 + 20868*i + x*z + 3553*z**3 + 1271*z**2 wrt z.
480*i*x - 378*i + 21318
What is the third derivative of -8201463*i**6 - 878304*i**2 wrt i?
-984175560*i**3
What is the third derivative of 53617668*b**5 + 424589865*b**2 wrt b?
3217060080*b**2
What is the third derivative of 220*r*v**4 - 80*r*v**3 - 18*r*v**2 - 3*r*v + 86*v**4 + 35*v**2 + 3*v + 10 wrt v?
5280*r*v - 480*r + 2064*v
What is the second derivative of -85320930*x**2 + 140946233*x wrt x?
-170641860
What is the derivative of 31*d**2*k**2 - d**2 + 379227*d*k**2 + 39399*k**2 - 2016 wrt d?
62*d*k**2 - 2*d + 379227*k**2
What is the second derivative of 3*y**5 - 42056953*y**4 + 68196464*y?
60*y**3 - 504683436*y**2
Find the second derivative of -196350756*u**5 + 348626306*u wrt u.
-3927015120*u**3
What is the second derivative of 41738*j*l**4 + 795*j*l + 2644*j + 340*l**4 - l - 3 wrt l?
500856*j*l**2 + 4080*l**2
What is the third derivative of 158134797*t**4 + 2*t**2 + 19424649*t - 1?
3795235128*t
Differentiate 144741909*y - 116611729 with respect to y.
144741909
Find the first derivative of 21*v**3 - 6458*v**2 + 5*v + 14219090.
63*v**2 - 12916*v + 5
Find the third derivative of -16556*k**5 - 2*k**4 - 316*k**3 + 28748*k**2 - 22 wrt k.
-993360*k**2 - 48*k - 1896
What is the second derivative of -32*a*q**3 + 1176*a*q**2 - 5*a - 60*q**3 - 170176*q + 5 wrt q?
-192*a*q + 2352*a - 360*q
Find the third derivative of -16889*g**4 + 1033*g**3 + 12*g**2 + 6490*g - 177.
-405336*g + 6198
Differentiate 1161*b*d*q - 2565*b*q**3 - 3*d*q**3 + 2*q**3 - 237383*q**2 - 1 wrt b.
1161*d*q - 2565*q**3
What is the first derivative of 436950556*v - 300748960?
436950556
What is the derivative of 846*q*r**2 - 93504*q*r - 704263942*r**2 wrt q?
846*r**2 - 93504*r
Differentiate 189*c**3*v**3 + c**3 + 6380*c - 12955*v**4 + 20 with respect to v.
567*c**3*v**2 - 51820*v**3
Find the third derivative of -8904*n**4 + 4794*n**3 - 347619737*n**2 wrt n.
-213696*n + 28764
Find the third derivative of 3197887*c*h**2*l**3 + 14*c*h**2*l**2 - c*l - c + 18*h**2*l**2 - 3*l**2 wrt l.
19187322*c*h**2
What is the second derivative of i**2*x**2 + 7510478*i**2 - 2894*i*x**2 + 159*i*x + 7*x**2 wrt i?
2*x**2 + 15020956
What is the derivative of 147346384*x + 728796495?
147346384
What is the second derivative of -291368*p*u**2 + 2*p*u - 9*u**2 + 761*u + 104 wrt u?
-582736*p - 18
What is the first derivative of 10807*l**2 - 297*l + 19531470?
21614*l - 297
Find the third derivative of -1671485*h**4 - 180991969*h**2.
-40115640*h
Differentiate -351002*b**2 - 13*b*g**2 - 2946118*g**2 wrt b.
-702004*b - 13*g**2
Find the third derivative of 2*p*y*z**3 - 2*p*y*z**2 - 197*p - 45329372*y*z**3 - 4500*z**2 wrt z.
12*p*y - 271976232*y
What is the second derivative of -370*b**3*o + 2*b**3 + 1699*b**2*o - 268075*b*o - 21*b wrt b?
-2220*b*o + 12*b + 3398*o
Find the third derivative of -19095*k**2*p**3 - 530*k**2*p**2 + k**2*p + 97*p**6 + 24*p**2 + 8*p wrt p.
-114570*k**2 + 11640*p**3
Find the second derivative of 142152161*r**2*v**2 + 388*r**2*v - 299*r**2 - 2*r*v + 12*r + 1 wrt v.
284304322*r**2
What is the third derivative of -l**5 - 324*l**4 - 56177*l**3 - 68050*l**2 + 403*l - 4?
-60*l**2 - 7776*l - 337062
Differentiate -1614*n**2*p + 5*n*p + 1098*n - 332430*p - 770 wrt n.
-3228*n*p + 5*p + 1098
What is the first derivative of 1231150*k + 46785599?
1231150
What is the third derivative of b**3*d**3*z + 669843*b**3*d**2*z + b**2*d*z + 6908381*b*d**3*z - d**2*z + d*z wrt d?
6*b**3*z + 41450286*b*z
What is the first derivative of -539455856*l**2 - 560082544 wrt l?
-1078911712*l
Find the third derivative of 34*z**5 - 2*z**4 + 6091*z**3 - 7342694*z**2 wrt z.
2040*z**2 - 48*z + 36546
What is the first derivative of 370118792*p**4 - 128303297 wrt p?
1480475168*p**3
What is the derivative of 948658914*s**4 + 1603355397 wrt s?
3794635656*s**3
Find the second derivative of 346*z**3 + 3127*z**2 + 13400521*z wrt z.
2076*z + 6254
Find the second derivative of -27*b**3*f*v - b**3 - 1842716*b**2*f + 2*b*f + 217188548*f*v wrt b.
-162*b*f*v - 6*b - 3685432*f
Differentiate 316*q**3*z - 3755035*q**3 - q**2*z - 14417*q*z with respect to z.
316*q**3 - q**2 - 14417*q
What is the third derivative of -467198*y**6 - y**5 - 2*y**3 - y**2 - 61*y + 8428 wrt y?
-56063760*y**3 - 60*y**2 - 12
What is the second derivative of 389940463*r**2*s + r - 528658*s + 78 wrt r?
779880926*s
Differentiate 8761099*h*o - 2*h + 3912675 with respect to o.
8761099*h
What is the second derivative of 10284581*a**2 - 11953623*a wrt a?
20569162
What is the third derivative of 14504*i**3*w**2 + 90*i**3 - 1609*i**2*w**2 - 4164*w**2 wrt i?
87024*w**2 + 540
Find the second derivative of -401540341*y**4 - 1384287*y + 12.
-4818484092*y**2
What is the second derivative of -2377*t**4 - 30076*t**3 - 763107410*t wrt t?
-28524*t**2 - 180456*t
What is the | {
"pile_set_name": "DM Mathematics"
} |
.
3*j - 2
Let f(g) = 7*g**3 + g**2 - 5*g - 5. Let l(r) = -8*r**3 - r**2 + 6*r + 6. Determine 6*f(i) + 5*l(i).
2*i**3 + i**2
Suppose -17*w = -25*w + 96. Let s(c) = 3*c**2 + 12*c. Let l(a) = a. Let x be 2*1/4*-2. Calculate w*l(f) + x*s(f).
-3*f**2
Let l(b) = -b + 1. Let g(o) = -17 + 6 + 1 - 3*o + 7. Determine g(q) - 2*l(q).
-q - 5
Let a(h) = h - 25 + 9 + 16. Let k(o) = -2*o - 2. Calculate -4*a(b) - k(b).
-2*b + 2
Let v(p) = 21*p**2 + p. Let l(t) = -14*t**2 - t. Determine -8*l(c) - 5*v(c).
7*c**2 + 3*c
Let x(q) = -2*q + 7. Let f = -37 - -57. Let l(m) = -35 + f - m + 19. What is -7*l(w) + 4*x(w)?
-w
Let x(w) = -9*w**3 - 17*w**2 - 17. Let p(r) = r**3 + 2*r**2 + 2. Determine 51*p(k) + 6*x(k).
-3*k**3
Let l(h) = 2*h. Let d(i) = -1. Let w(x) = -d(x) - l(x). Let s(g) = -3*g + 2. Determine 3*s(c) - 4*w(c).
-c + 2
Let b = 37 + -35. Let k(c) = -c + 0 + 2 - 1. Let n(j) = j**2 - 9*j + 9. Calculate b*n(t) - 18*k(t).
2*t**2
Let t(c) = -c**2 + 7*c - 7. Let l = 8 + 4. Let m(g) = 0*g**2 + 3*g - 15 + l*g - 2*g**2. Give 6*m(o) - 13*t(o).
o**2 - o + 1
Let o(g) = -g - 1. Let x(k) = k + 2. Let m be (-1)/(-2)*(-2)/(-1). What is m*x(w) + 2*o(w)?
-w
Let c(z) = -6*z + 4. Let x(v) = 5*v - 3. Suppose 6*n = n - 10. Let i be ((-1)/n)/(6/(-36)). Give i*c(b) - 4*x(b).
-2*b
Let g(n) = n**2 - 1. Let m(f) be the third derivative of f**5/20 - f**3/3 - 17*f**2. Suppose 1 = -4*v + 3*z - 0*z, 0 = v - 5*z + 13. Give v*m(r) - 5*g(r).
r**2 + 1
Let f(b) = -175*b**2 - 21*b - 21. Let g(p) = 44*p**2 + 5*p + 5. Calculate -5*f(c) - 21*g(c).
-49*c**2
Let p(j) = 6*j - 5. Let f(u) = 13*u - 11. Suppose -d + 0 = -4*g + 1, 5 = 5*g. Let r = -4 - -3. Let k = d - r. Give k*f(s) - 9*p(s).
-2*s + 1
Let h(c) = -3*c**2 + 7*c + 3. Let o(j) = 44*j - 36*j + 1 - 4*j**2 + 3. Let v = -3 + -2. Give v*o(b) + 6*h(b).
2*b**2 + 2*b - 2
Let q(d) = d + 1. Suppose -4*j - p + 3 = 1, -p - 3 = -j. Let t(s) = 1. Let g(m) = -5*m + 1. Let h = 0 + 3. Let z(i) = h*t(i) - g(i). What is j*z(o) - 4*q(o)?
o - 2
Let p = -10 + 6. Let d(f) = 6*f**2 - 2*f - 2. Let o(b) = -5*b**2 + 2*b + 2. Let u = -13 + 10. Calculate p*o(n) + u*d(n).
2*n**2 - 2*n - 2
Let i = -10 - -13. Let t(z) = 2*z**3 + 2*z**2 - 3. Let d(u) = 4*u**3 + 4*u**2 - u - 5. Calculate i*d(p) - 5*t(p).
2*p**3 + 2*p**2 - 3*p
Let z be 1/4 - 27/(-36). Let v(x) = x**3 - 1. Let y(t) = t**3 + 4*t - 4. Let n(l) = -3*l + 3. Let m(b) = 4*n(b) + 3*y(b). Determine z*m(g) - 2*v(g).
g**3 + 2
Let b(a) = -a**3 + 5*a**2 - 13*a - 9. Let k(l) = -l**2 + 3*l + 2. Determine 2*b(v) + 9*k(v).
-2*v**3 + v**2 + v
Let b(w) = -3*w**2 - 2*w + 4. Suppose -j - v = -2, -j + 2*v = 2*j + 19. Let n(y) = -4*y**2 - 3*y + 5. What is j*b(l) + 2*n(l)?
l**2 - 2
Let o(t) = -13*t**2 - 17*t - 13. Let l(i) = 3*i**2 + 4*i + 3. Let x = -61 + 70. Let w = -8 + 10. Give w*o(s) + x*l(s).
s**2 + 2*s + 1
Let n be -2*4/(-1 - -5). Suppose 5*y + 9 = 2*y. Let g(q) = 3*q**2 + 2*q - 1. Let v(h) = -h**3 - 4*h**2 - 3*h + 1. What is n*v(t) + y*g(t)?
2*t**3 - t**2 + 1
Let c(t) = 6*t. Suppose -8*z + 11*z = 18. Let p(o) = 7*o. Calculate z*c(q) - 5*p(q).
q
Let k(j) = -5. Let d(s) = s + 11. Let b(i) = 2*i**2 - 1. Let x be b(2). What is x*k(t) + 3*d(t)?
3*t - 2
Let f(p) = -4*p**2 + 7*p + 5. Suppose 2*b - 15 = -5. Let o(i) = -14 - 6*i + 25 + 3*i**2 - 15. Give b*f(g) + 6*o(g).
-2*g**2 - g + 1
Let v(y) = 7*y**3 - 6*y**2 - 6*y + 6. Let u(f) = -6*f**3 + 5*f**2 + 5*f - 5. Let k(i) = 2*i**3 - 3*i**2 + 3*i - 5. Let t be k(2). Determine t*v(n) + 6*u(n).
-n**3
Let k(i) = -25*i - 5. Let w(a) = 74*a + 14. Determine -17*k(o) - 6*w(o).
-19*o + 1
Let s(q) = 5 - 12*q + 17*q + 6. Let g = 11 - 8. Let y(a) = -2*a - 5. Calculate g*s(d) + 7*y(d).
d - 2
Let w(y) = -2*y**2 + 2*y - 9. Let z be (14/(-4))/(4/8). Let x(m) = m**2 - m + 4. Calculate z*x(h) - 3*w(h).
-h**2 + h - 1
Let b(p) = 1. Let x = 3 + -1. Let d(w) = 5*w + 0*w**2 - w**x - 4*w - 2*w. Determine b(y) - d(y).
y**2 + y + 1
Let n(z) = z. Let l(a) = -a**2 + a. What is -6*l(t) + 5*n(t)?
6*t**2 - t
Let r(q) = 6*q**2 + 4*q - 3. Let n(d) = -6*d**2 - 3*d + 3. Determine -3*n(g) - 2*r(g).
6*g**2 + g - 3
Let g(y) = -2*y + 0*y - 2*y**2 + 0*y + 1. Let k(q) = 2*q + 9. Let t be k(-6). Let z(a) = -a + 1. Give t*z(l) + g(l).
-2*l**2 + l - 2
Let r = 24 + -23. Let u(o) = -1. Let a(y) = -y + 6. Determine r*a(h) + 6*u(h).
-h
Let h(k) = 4*k**3 + 5*k**2 - 4*k - 7. Let u(l) = -10*l**3 - 12*l**2 + 10*l + 18. Give 12*h(z) + 5*u(z).
-2*z**3 + 2*z + 6
Let o(d) = d**3 - 3*d**2 - 5*d + 6. Let b be o(4). Let f(j) = -4*j - 1 + j**b + 2 + 7*j - 2*j. Let l(a) = -2*a - 3. Give 2*f(r) + l(r).
2*r**2 - 1
Let n(y) = 1 - y**3 + 2 + 2. Let p = 37 - 41. Let m(o) = -o**3 + 4. Give p*n(b) + 5*m(b).
-b**3
Let n(f) = -9*f - 1. Let b(z) = -z. Give -2*b(x) + n(x).
-7*x - 1
Let a(n) = 22*n - 11. Let c(s) = 11*s - 6. Give -6*a(t) + 11*c(t).
-11*t
Let h(c) = -c**2 + 8*c - 3. Let y(v) = -2*v**2 + 17*v - 7. Calculate -13*h(j) + 6*y(j).
j**2 - 2*j - 3
Let h(b) = 20*b**3 - 8*b**2 + 6*b - 6. Let t(n) = 19*n**3 - 7*n**2 + 5*n - 5. Give -5*h(d) + 6*t(d).
14*d**3 - 2*d**2
Suppose -3*o - 5*c + 2 = -3, -9 = 5*o + 4*c. Let u(y) = -6*y + 14. Let h(s) = -4*s + 9. Determine o*u(i) + 8*h(i).
-2*i + 2
Let y(z) = 1431*z**3 - 53*z**2 - 53*z. Let r(m) = -55*m**3 + 2*m**2 + 2*m. What is -53*r(w) - 2*y(w)?
53*w**3
Let y(r) = -r**3 + 7*r**2 + 6*r - 2. Let p(i) = -i**3 + 6*i**2 + 5*i - 2. Let w(z) = -z**2 + 9*z - 2. Let o be w(8). Determine o*y(s) - 7*p(s).
s**3 + s + 2
Let w(p) = 8*p - 1. Let r(j) = -j + 1. What is -r(i) - w(i)?
-7*i
Let j(v) = -9*v + 2 - 4 + 10*v. Let l(p) = 2*p - 4. Determine -13*j(t) + 6*l(t).
-t + 2
Let n(y) = y**3 + 3*y**2 + 3*y + 3. Let q(d) = -d**2 + 9*d - 7*d - 1 - 3*d. What is -n(z) - 3*q(z)?
-z**3
Let p(c) = c. Let m(i) = -14*i - 2. What is m(z) - 3*p(z)?
-17*z - 2
Let v(m) = 3*m**3 + 8*m**2 - 8*m - 8. Let c(n) = n**3 + 3*n**2 - 3*n - 3. What is 8*c(h) - 3*v(h)?
-h**3
Let w(u) = -9*u**2 + 2 + 2*u**2 + 7*u - 3*u**2 + 3*u**2. Let z(r) = -13*r**2 + 13*r + 4. Determine 11*w(t) - 6*z(t).
t**2 - t - 2
Let p(x) = -x. Let c(l) be the third derivative of l**4/12 - 5*l**2. Give -c(s) + p(s).
-3*s
Let v(h) = 12*h. Let s be -2 + 4 - (0 + 4). Let f(t) = -3*t. What is s*v(n) - 9*f(n)?
3*n
Let v(l) = 26*l + 6. Let i(j) = -5*j - 25 + 6 + 11 + 7. Determine -11*i(y) - 2*v(y).
3*y - 1
Let u(p) = 3*p**2 - 9*p - 56. Let y(l) = -l**2 + 2*l + 14. What is -2*u(c) - 9*y(c)?
3*c**2 - 14
Let p(u) = u. Let m(a) = 3*a**2 + 3*a. Give 2*m(t) - 2*p(t).
6*t**2 + 4*t
Let g(z) = 4*z**3 - 5*z**2 - z + 5. Let d(l) = -4*l**3 + 9*l**3 + 9 - 3 - l - 6*l**2. Give 5*d(r) - 6*g(r).
r**3 + r
Let g(u) be the first derivative of -5*u**4/4 - 4*u**3/3 + u + 2. Let l(j) = -4*j**3 - 3*j**2. Determine -3*g(n) + 4*l(n).
-n**3 - 3
Let p(b) = 9*b**3. Let v(n) = 5*n**3. Let d = -7 - -14. Suppose 0 = 6*h - 3*h + 12. Calculate d*v(c) + h*p(c).
-c**3
Let l(f) = -f - 3. Let j = 2 + -3. Let i(d) = -15*d + 1. Let k be i(j). Let h be k/3 - (-3)/(-9). Let c(w) = w + 4. Calculate h*l(o) + 4*c(o).
-o + 1
Let j(s) = -s**3 - s + 1. Let h(d) = d. Let i(n) = 5*n + 1. Let f(l) = 6*h(l) - i(l). Let q = 19 - 9. Let v be (-12)/30 + 14/q. Calculate v*j(u) + f(u).
-u**3
Let p(z) = -11*z + 2. Let f(g) = -6*g + 1. Suppose -40 - 2 = 2*l. Let x = l + 14. Determine x*f(d) + 4*p(d).
-2*d + 1
Let n(w) = w**2 - w + 1. Let k(u) = u**2 - 4*u + 3. Give 2*k(r) - 6*n(r).
-4*r**2 - 2*r
Let q be 1/(2 - (-3)/(-1)) + -3. Let x(k) = 5*k**3 + 14*k**2 + 14*k - 11. Let l(c) = -2*c**3 - 5*c**2 - 5*c + 4. Give q*x(z) - 11*l(z).
2*z**3 - z**2 - z
Let n(h) be the third derivative of h**6/120 + h**4/12 - 3*h**2. Let f(z) = -z. Give -4*f(j) - 2*n(j).
-2*j**3
Let v be 447/(-21) - 2/(-7). Let l(f) = 12*f**3 - 21*f**2 - 21*f + 21. Let k(d) = -3*d**3 + 5*d**2 + 5*d - 5. Give v*k(b) - 5*l(b).
3*b**3
Let b(n) = -n**3 - 8*n**2 + 20*n. Let s(c) = c**2. Give b(q) + 6*s(q).
-q**3 - 2*q**2 + 20*q
Let v(a) = 7*a - 4. Let w(m) = m**3 - m**2 - 2*m - 1. Let n be w(-2). Let j(l) = -3*l - 1. Let d(i) = -1. Let o(k) = 3*d(k) - j(k). Calculate n*o(q) + 4*v(q).
q + 2
Let j(o) = 6*o. Let x(l) = -3*l. Calculate 3*j(s) + 5*x(s).
3*s
Let m be 4/(-2)*5/(-10). Let f(q) = 4*q - 3. Let w(h) = -h + 1. Determine m*f(t) + 3*w(t).
t
Let q(b) = b. Let r = 7 + -5. Let x(s) = -s**3 + 3*s**2 - s - 1. Let g be x(r). Let o(a) = -2*a**2 - 2*a - 1. What is g*o(i) + 3*q(i)?
-2*i**2 | {
"pile_set_name": "DM Mathematics"
} |
et x(f) = f**2 - 2*f - 2. Let o be x(-5). What is the greatest common divisor of o and h?
11
Suppose 2*j + 2*s - 6 = 0, -2*j - 2*s + 6 = s. Let v = 7 - j. Suppose 13 = -a + 5*a - i, 0 = -a - 3*i + 13. What is the highest common divisor of v and a?
4
Let k(g) = -10*g - 231. Let b be k(-27). Calculate the highest common factor of 429 and b.
39
Let m(k) = 13*k + 2. Suppose 1 - 4 = -3*r. Let d be m(r). What is the greatest common factor of d and 30?
15
Suppose 5*o - 627 - 133 = 0. What is the highest common divisor of o and 32?
8
Let a = -414 - -432. Calculate the highest common factor of 576 and a.
18
Let p be 23/46*16/2. Suppose -p*m + 120 = 4*m. Suppose 0 = 4*v + 5*j - 15 - 2, -10 = -2*v - 4*j. Calculate the highest common divisor of v and m.
3
Let l = 13 + -18. Let z be (-16)/5*l/1. Suppose -3*a = 4*o - 76, 2*a = 6*a + z. Calculate the greatest common factor of 55 and o.
11
Let g(s) be the first derivative of -11 - 7*s + 1/2*s**2 + 1/3*s**3. Let o be g(-4). Calculate the highest common divisor of 55 and o.
5
Let u(o) = 53*o**3 + o. Let d(i) = -i**2 + 5*i - 4. Let w be d(5). Let t = w + 5. Let f be u(t). What is the greatest common divisor of 36 and f?
18
Let z be (-2 + -3)/(-1) - -125. What is the greatest common factor of 104 and z?
26
Let m be (-25810)/50 + (1/(-5))/(-1). Let z be (-8)/20 - m/15. What is the highest common factor of 306 and z?
34
Let s(h) = -h**3 - 6*h**2 - 8. Let u be s(-7). Suppose -u - 43 = 3*y. Let z be (-1052)/y - 3/(-7). What is the highest common divisor of z and 95?
19
Let k = -10 - -15. Suppose -5*a + 59 = 4*o, -k*o - 3*a = -22 - 68. Let t be 34/8*(o + -1). Calculate the greatest common factor of 34 and t.
17
Suppose 0 = 4*a - 172 + 76. Let n be 6/4 - (-2)/(-4). Let q(c) = 167*c**2 + 2*c - 1. Let z be q(n). What is the greatest common divisor of a and z?
24
Let y be -1 + 59 + (-12)/(-3). Suppose -6*p + 22 + y = 0. Let m = p + 35. Calculate the highest common divisor of m and 7.
7
Let o = 22 + -14. Let l be 2/8 - (-150)/o. Calculate the greatest common factor of 19 and l.
19
Let v(g) = 20*g + 133. Let l be v(-5). What is the greatest common divisor of 77 and l?
11
Let y be (-3 - -9)*18/4. Let n = 0 - -9. What is the highest common divisor of y and n?
9
Let i = 152 + -35. What is the highest common factor of 39 and i?
39
Suppose -7*o - 122 = -150. Let z be (-2)/(2/1 - 3). Let k be (z + 1)/(6/8). What is the highest common divisor of o and k?
4
Let t(v) = v**2 + 2*v - 14. Let o be t(-10). Suppose 3*y + n - 41 = o, -y - 4*n + 32 = 0. What is the greatest common factor of y and 9?
9
Suppose -18 = -5*c + 4*s - 5*s, 4*c = s + 9. Let i be 45 - (c - (-5 - -3)). Let m(r) = 2*r - 3. Let q be m(4). What is the greatest common divisor of q and i?
5
Suppose 896 = 4*v - 4*q, 4*q + 94 = -3*v + 766. What is the greatest common factor of 42 and v?
14
Let b = -36 + 39. Suppose -b*c + 1 = -11. Calculate the highest common factor of 28 and c.
4
Let r be 0/2 + 0 + 2. Let c = -12 - -51. Let y be r*-1 - c/(-3). Calculate the highest common factor of 33 and y.
11
Suppose 3*h - 14 = 7. Let u = 19 + -47. Let n be 38/3 + u/(-21). Calculate the greatest common divisor of n and h.
7
Let c be -4 + 6/(4 - 3). Suppose 3*b + 12 = 0, -2*r - 3*b + 8 = c*r. Let n(y) = 2*y**2 - 5. Let d be n(5). Calculate the highest common factor of d and r.
5
Let a be (6/(-2) + 11)*1/1. Let j(q) = -q**3 + 10*q**2 - 7*q - 6. Let w be j(9). What is the greatest common factor of w and a?
4
Let j be (-2)/(-7) + 14/(-49). Suppose j = 2*t + 2*q - 48, q + 93 = 5*t - 3. Calculate the greatest common factor of 10 and t.
10
Suppose -y = 2*y. Suppose -3*s - 6 = y, l = -0*l + s + 5. Suppose -17*b - 45*b = -186. What is the highest common factor of b and l?
3
Suppose -1008 + 4583 = 11*n. What is the highest common divisor of 25 and n?
25
Suppose -4*o - 2*k + 22 = -2*o, 3*k - 6 = 0. Let x = o - -7. Let v be 4/6 + 1562/33. Calculate the greatest common divisor of x and v.
16
Let z(d) = d. Let g(y) = y. Let j(i) = 6*g(i) - 5*z(i). Suppose -r = 4*r - 25. Let m be j(r). What is the greatest common factor of m and 10?
5
Suppose -v = b + 34, 3*v + 3*b = 5*b - 97. Let u = v - -61. Let i(l) = -l**2 + 12*l - 16. Let c be i(10). What is the highest common divisor of c and u?
4
Let u(x) = 3*x + 5. Let n be u(10). Suppose -5 = 5*a, 11 = k + 2*a - n. What is the highest common divisor of 6 and k?
6
Let k = 91 - 52. Suppose 3*z + k = 9. Let q be (-554)/z - (-14)/(-35). What is the highest common divisor of 5 and q?
5
Suppose -142 = -4*n + p - 4*p, 4*n - p - 134 = 0. Let d be (-12)/42 - (-1077)/21. Calculate the greatest common divisor of n and d.
17
Suppose -4*o - 4 = -4*a, -5*a - o = 5 + 2. Let s be a/(-2)*0/4. Suppose n = 1, -x + 4*x + n - 22 = s. What is the highest common factor of 28 and x?
7
Suppose -8*l + 3131 + 5 = 0. Calculate the highest common divisor of 16 and l.
8
Let i be (-148)/(-2) - (-4 - -2). Let f(c) = 35*c + 74. Let d be f(-2). Calculate the highest common divisor of i and d.
4
Suppose -5 = -6*t + 49. Let v = 0 - -1. Calculate the greatest common divisor of v and t.
1
Suppose -2*l - f = -3*f - 298, -3*l + 419 = 4*f. Let q = l + -100. Let s = 56 - 26. Calculate the greatest common divisor of s and q.
15
Suppose 0 = -21*m + 17*m. Suppose -4*h + m*h = -120. Suppose 8*n - 150 = 6*n. What is the highest common factor of n and h?
15
Let r = -925 + 935. What is the highest common factor of r and 690?
10
Suppose 5*b - 2*z - 108 = 0, 3*z - 8 = -11*b + 10*b. Let d be 83 - 1/(3/9). What is the highest common divisor of b and d?
20
Let z be 8716/32 - (-39)/(-104). Calculate the highest common factor of z and 48.
16
Suppose 34*o = 389 + 87. Calculate the highest common factor of 119 and o.
7
Let t = 1881 + -1815. What is the highest common divisor of 462 and t?
66
Let r = -583 + 647. What is the greatest common factor of r and 200?
8
Let d = -306 + 137. Let y = d - -484. Suppose 4*i - 533 = -393. What is the greatest common factor of i and y?
35
Suppose 1365 = 7*k - 882. Calculate the highest common factor of k and 3.
3
Let a(u) = -20*u - 355. Let v be a(-24). What is the highest common divisor of v and 100?
25
Let j = -2 + 7. Let r = -60 - -60. Suppose -v + 197 = -u - 61, r = -v - j*u + 228. Calculate the highest common divisor of v and 23.
23
Suppose -10 + 30 = l. Let j be 4/((-32)/l)*-10. Let f be (14/4)/(7/350). Calculate the highest common divisor of f and j.
25
Let p(l) = -24*l - 17. Let q be p(-1). Calculate the highest common factor of q and 707.
7
Suppose 87*u = 68*u + 57. What is the greatest common divisor of 6 and u?
3
Suppose -k - 1509 = -5*g - 577, 0 = -g - k + 190. Calculate the highest common divisor of 11 and g.
11
Suppose -20*u + q = -15*u - 2032, u - 414 = 4*q. What is the greatest common factor of 28 and u?
14
Let n = -228 - -262. What is the greatest common factor of n and 136?
34
Let o be 1060*((-2)/(-5))/1. Calculate the highest common factor of o and 8.
8
Suppose 0 = u + 4*v - 31, -5*u + 2*v - 245 = -10*u. Calculate the highest common divisor of 561 and u.
51
Suppose i = 3 + 1, 5*q + 2 = 3*i. Suppose 7*a + q*a = 432. Calculate the highest common divisor of 12 and a.
12
Let s be (2/(-5) + (-31)/10)*-4. Let h be 21/(-49) + 118/s. What is the highest common factor of 32 and h?
8
Suppose 2*m - 1 = 5*b + 4, -4*m = -2*b + 14. Let f be -2*b/(-30) + 132/10. What is the highest common divisor of 143 and f?
13
Let i be 88297/184 - (-1)/8. Calculate the greatest common factor of 30 and i.
30
Suppose -5*q = 3*g - 5, 0*q + 1 = -2*g + q. Suppose b + t - 27 = g, 5*t - 141 + 30 = -4*b. Calculate the greatest common factor of b and 16.
8
Let g(d) = -3*d + 92. Let h be g(9). Suppose 65 = -o + 6*o. What is the highest common divisor of o and h?
13
Let j = 16 - 18. Let r be (28*j/(-6))/((-8)/(-12)). Calculate the highest common divisor of r and 14.
14
Let d = -672 - -1092. Suppose -2*w - d = -g, -g - 3*g = w - 1644. Suppose 5*s - g = 8. Calculate the greatest common factor of 12 and s.
12
Let c(z) = -z**3 + 11*z**2 - 8*z + 25. Let r be c(10). Let x = -14 + r. What is the highest common factor of x and 248?
31
Suppose -2*h + 2*r = -28, -5*r + 8*r = -4*h + 77. Let j = 31 - -88. Calculate the greatest common divisor of h and j.
17
Suppose 0 = -3*x - 9 + 24. Suppose -28 = -k + x*a + | {
"pile_set_name": "DM Mathematics"
} |
he third biggest value? (a) 5 (b) 19 (c) -142
c
Which is the second smallest value? (a) 0.2 (b) 4 (c) -8
a
Which is the third biggest value? (a) 4 (b) 0.6 (c) -1.6 (d) -0.1 (e) -3
d
Which is the biggest value? (a) 4/13 (b) -3/7 (c) -3 (d) -2/3 (e) -2/9
a
Which is the biggest value? (a) 0.4 (b) -4 (c) 11
c
Which is the third biggest value? (a) -0.4 (b) 3 (c) 72
a
What is the third smallest value in 2/59, -4/3, -2, 2?
2/59
What is the smallest value in 0.1, -73, -5?
-73
What is the biggest value in 0.3, 2/5, -4/5, 3, 17?
17
What is the smallest value in 0.1, -4, -0.3, 3, 3/14?
-4
Which is the third biggest value? (a) 14 (b) -40 (c) 3/2 (d) -2/7
d
Which is the biggest value? (a) -7 (b) -4 (c) -3 (d) -0.5 (e) 1/5
e
What is the biggest value in 2, 67, -3/2?
67
Which is the fourth smallest value? (a) 1 (b) -3/5 (c) 4 (d) -16/19 (e) 2/15
a
What is the biggest value in -2/11, 17, -2/15, 1?
17
Which is the second smallest value? (a) -3 (b) 15 (c) -0.01 (d) 0.3
c
Which is the second smallest value? (a) -4 (b) 3 (c) 0.5 (d) -2/5 (e) 0
d
What is the smallest value in -1/2, 0.04, 0.1, -41, -2/5?
-41
What is the third smallest value in 1.3, 2/7, 43, 3?
3
Which is the second smallest value? (a) 2 (b) 2/7 (c) -0.1
b
What is the third biggest value in 0, -3/29, -5/3?
-5/3
Which is the biggest value? (a) 3/10 (b) -1 (c) 12
c
What is the biggest value in -5, -2/3, -10?
-2/3
What is the fourth smallest value in 2, 631, -1/8, 5?
631
Which is the third biggest value? (a) 0.4 (b) -52/5 (c) -1/3 (d) 3 (e) -2
c
What is the second smallest value in 2/17, 46, 12/17?
12/17
Which is the third biggest value? (a) 4 (b) -36 (c) -0.5 (d) -0.46
c
What is the third smallest value in -5, -2107, -1?
-1
Which is the biggest value? (a) -1/7 (b) -13 (c) 2 (d) 3
d
What is the second smallest value in 2/485, 0.3, 0.05?
0.05
What is the third biggest value in 2, 0.04, 2/7?
0.04
Which is the fourth biggest value? (a) 1/5 (b) 5 (c) -5 (d) 9
c
What is the third smallest value in -1/3, -2, 0, 4, -0.3?
-0.3
Which is the third biggest value? (a) 0.2 (b) 0.1 (c) -1241
c
What is the smallest value in -9, -0.2, 0.1?
-9
What is the third biggest value in 1183, 4, -4, 1?
1
What is the third smallest value in -0.1, 0, -2, 3/2?
0
Which is the second smallest value? (a) -3 (b) 0.1 (c) -6
a
Which is the third smallest value? (a) -3 (b) 5 (c) 0.4 (d) 28 (e) 0.1
c
What is the biggest value in 0.95, -0.5, -1/4, 1/3, -4/7?
0.95
Which is the biggest value? (a) -0.4 (b) -0.3 (c) 2/7 (d) -103
c
Which is the fifth smallest value? (a) 0.3 (b) -1 (c) 3 (d) 12 (e) 2
d
What is the fifth smallest value in 0.2, -2, -4, 5, 0.5?
5
What is the fourth biggest value in -27, 3, -15, -5?
-27
What is the biggest value in 16, 3/19, 2?
16
What is the biggest value in -2, -0.4, 8, 1.03, 0.3?
8
What is the second biggest value in 19/3, 0.4, -5, -0.5?
0.4
Which is the fourth biggest value? (a) -278 (b) -0.4 (c) -0.1 (d) 0.3
a
What is the second smallest value in 1, -0.2, 20.09?
1
Which is the smallest value? (a) -0.2 (b) 0.34 (c) 2/5 (d) -2 (e) -5
e
Which is the smallest value? (a) 3 (b) 9/47 (c) 0.4 (d) -3
d
Which is the third biggest value? (a) -5 (b) -0.1 (c) 2/27 (d) 2
b
Which is the second smallest value? (a) -2.1 (b) -3 (c) 224
a
What is the third smallest value in 0.2, 6, 1, -12?
1
Which is the fourth smallest value? (a) -10 (b) -6/7 (c) 0.5 (d) -5
c
Which is the biggest value? (a) -3 (b) -51 (c) -0.073
c
Which is the smallest value? (a) 0.036 (b) -2 (c) 1
b
Which is the fourth smallest value? (a) -3 (b) 4/3 (c) -2/7 (d) -4
b
What is the third biggest value in 0, 2/3, -83.1?
-83.1
What is the second smallest value in -16, -13, 2/19, 2/11?
-13
What is the third smallest value in -2, 2, -6, 1/5, -5?
-2
What is the fourth biggest value in 1, 71, 0.4, -0.2?
-0.2
Which is the fourth biggest value? (a) 46 (b) -1 (c) -4 (d) 0
c
Which is the smallest value? (a) -0.051 (b) -2 (c) 2
b
Which is the third biggest value? (a) 2/7 (b) -2/7 (c) 142
b
Which is the smallest value? (a) 1/2 (b) -7 (c) -3 (d) 5.9 (e) -2
b
What is the second smallest value in 5, -5, -0.06, 33?
-0.06
Which is the second smallest value? (a) 2 (b) -20 (c) 5 (d) -1/12 (e) -1
e
What is the biggest value in 0, -5, 1, -3, -2/9?
1
Which is the second biggest value? (a) 138 (b) -2 (c) 2/3 (d) -1/3
c
What is the third biggest value in -1, 2/5, -0.14, -1/4?
-1/4
Which is the smallest value? (a) -2015 (b) -1/4 (c) 1
a
What is the smallest value in 31, 2/11, 2, -1/2?
-1/2
What is the fifth smallest value in -3, 8, -2/7, -1/57, -1/5?
8
What is the third biggest value in -2/5, -3, 0.27, 0.01?
-2/5
Which is the third smallest value? (a) -1/6 (b) -2/13 (c) -2/9 (d) -0.07
b
Which is the third biggest value? (a) -5 (b) -4 (c) -7/8
a
What is the third smallest value in -1, 3, -4, 33?
3
What is the smallest value in 0, 21/4, -5?
-5
What is the second biggest value in -37, 0.31, -0.1?
-0.1
Which is the third biggest value? (a) 4 (b) -4/3 (c) -181
c
What is the second biggest value in 80, -1/2, 5?
5
What is the biggest value in 2/145, 2, 1?
2
What is the biggest value in 2, 0.5, -6, -2/33, -18?
2
What is the biggest value in -41, -3/2, -36, 0.3, 0.2?
0.3
Which is the second smallest value? (a) 1 (b) 57 (c) 0.6
a
What is the third biggest value in 5, 4/7, 264/17?
4/7
Which is the second biggest value? (a) 0.2 (b) 5 (c) -1/41 (d) -1 (e) 2/7
e
What is the biggest value in 6, 5, -1, 0.5?
6
Which is the second smallest value? (a) -4 (b) -0.5 (c) 6558
b
What is the smallest value in -0.4, -8.4, -5?
-8.4
Which is the second biggest value? (a) -130 (b) 6 (c) 1
c
What is the second smallest value in 4, -5, 0.4, -1/24?
-1/24
Which is the biggest value? (a) 5 (b) 9.8 (c) -2
b
Which is the second biggest value? (a) 3 (b) -3 (c) -0.082
c
What is the second biggest value in -1/9, 4, -3/10, 0.1?
0.1
Which is the second biggest value? (a) -2 (b) -3 (c) -1 (d) -58.6 (e) 0.5
c
What is the biggest value in 0.04, -54, -1?
0.04
Which is the fifth smallest value? (a) -28 (b) 5 (c) -3 (d) -5 (e) -4/3
b
What is the third smallest value in -5, -0.7, -70?
-0.7
Which is the second smallest value? (a) 0.3 (b) -0.4 (c) -2/43 (d) -1
b
Which is the fourth biggest value? (a) -50 (b) 3 (c) 1/5 (d) 0.4
a
Which is the smallest value? (a) 138 (b) -4/3 (c) -0.4
b
Which is the smallest value? (a) 0.022 (b) 0.2 (c) 4
a
Which is the third biggest value? (a) 2/9 (b) -4 (c) 2/3 (d) 14 (e) 0
a
What is the second smallest value in 3/7, 2/5, -1/12?
2/5
Which is the third biggest value? (a) 5 (b) -55 (c) -11
b
What is the second smallest value in 31, -1, -2?
-1
Which is the third biggest value? (a) -4 (b) -1/26 (c) -1.4
a
What is the second smallest value in -3, -11/2, -5, 0?
-5
Which is the biggest value? (a) -87 (b) 1/6 (c) 4
c
What is the smallest value in -47, -5/4, -2?
-47
Which is the third smallest value? (a) 1/3 (b) 1/5 (c) 3 (d) -2
a
Which is the third smallest value? (a) -5 (b) 0.2 (c) 1/9927
b
Which is the second biggest value? (a) -23 (b) 4 (c) -43 (d) 2
d
What is the smallest value in -2/11, 0.5, 33, 4, -0.33?
-0.33
Which is the third biggest value? (a) -2/9 (b) 0.3 (c) -132
c
Which is the smallest value? (a) 0 (b) 1/7 (c) -2/5
c
Which is the second biggest value? (a) -2820 (b) -1 (c) -0.1
b
Which is the fourth biggest value? (a) -0.4 (b) 4 (c) -2 (d) 0.5 (e) -125
c
Which is the third biggest value? (a) 4 (b) 0 (c) -3 (d) -5 (e) -2479
c
Which is the second biggest value? (a) 0 (b) -2/7 (c) -1/56 (d) 0.05
a
What is the third smallest value in -1/5, 10, -0.8?
10
What is the second smallest value in 2/5, -1, -3, -1/11, -0.4?
-1
Which is the second biggest value? (a) 35 (b) 2 (c) 0 (d) -0.2
b
What is the smallest value in 4/5, -2, 0.3?
-2
What is the third smallest value in -3, -2, -6, 0.4?
-2
Which is the second smallest value? (a) 1/4 (b) -8881 (c) -0.1
c
Which is the biggest value? (a) -1 (b) 2 (c) -5 (d) 0
b
What is the smallest value in -2.1, -1/4, 2, -6/11?
-2.1
What is the smallest value in 2/3, 163, -0.2, 0, 1?
-0.2
Which is the smallest value? ( | {
"pile_set_name": "DM Mathematics"
} |
r**2 + 10 - 3*r**4 + 2*r**3 + 3*r**2 + 2*r**2 as t*r + h*r**4 + b + c*r**3 + k*r**2 and give c.
2
Rearrange (0*l - 2*l + 0*l)*(50 + 25 + 36) + 3 - 3 + 2*l to a + v*l and give v.
-220
Express (-3*g + 4*g + 2*g)*(262 + 87 + 88 - 84) in the form i*g + h and give i.
1059
Rearrange 2 - 532*a - 128*a - 2 - 21*a to the form k*a + r and give k.
-681
Express (-2 - 1 + 0)*(0 + 1 + 1)*(0*v**4 + v**4 - 2*v**4)*(79 + 111 - 238) as k*v**4 + h*v**2 + x*v**3 + z + f*v and give k.
-288
Rearrange (-18*j + 24*j - 15*j)*((2*j + j + 0*j)*(j - 5*j + 2*j) - 2*j + 2*j - j**2) to r*j + s*j**3 + d*j**2 + c and give s.
63
Rearrange -138*f**2 - 28*f**2 + f - 129 + 129 to z*f**2 + r + k*f and give z.
-166
Express u**3 - u**3 + u**3 + (8*u**3 + 21*u**2 - 21*u**2)*(0 + 4 - 2) + (129 + 31*u - 129)*(u**2 - u**2 + u**2) as t + v*u + z*u**2 + q*u**3 and give q.
48
Express 0*k - 2*k + 0*k + (0 - 3 + 2)*(16 + 3*k + 25 - 11) in the form f*k + l and give l.
-30
Rearrange -c**2 - 130*c**3 + 2 + 3 - 6 - 6*c**3 to a*c**2 + v + u*c + s*c**3 and give s.
-136
Express -1 - 5*w**2 + 220*w**3 - w**2 + 4*w - 220*w**3 + w**4 in the form q*w**3 + v*w**2 + f*w**4 + i + c*w and give c.
4
Rearrange (-4*d**3 + 29*d**2 - 29*d**2)*(-7 + 0 + 0)*(d + 3*d - 6*d) to the form v*d + r*d**2 + c + y*d**4 + a*d**3 and give y.
-56
Rearrange (-2*i - 4*i + 4 + 4*i)*(105 - 105 - 11*i**2) to the form z*i**2 + d*i**3 + f*i + c and give d.
22
Rearrange (-558*w**3 + 123*w**2 + 565*w**3 - 54*w**2)*(0 - 2*w + 0) to v*w**3 + s*w**4 + j*w**2 + g + n*w and give n.
0
Rearrange -15 + 27 + 3 - h - 66 - h**3 to f*h**2 + b*h + v*h**3 + w and give b.
-1
Express 15 - 11 + 6*j**3 - 5*j**3 + j**2 - 2*j + 14 in the form p*j + o*j**2 + f + m*j**3 and give o.
1
Express -4*o**2 - 7*o**2 - 3*o**2 as j*o**2 + x + v*o and give j.
-14
Express -86*p**2 + 85 - 85 + (1 + 3*p - 1)*(-3 + 0 + 2)*(p + p - p) in the form w*p + q*p**2 + h and give q.
-89
Express u**4 + u**4 + 4*u**2 + 41*u - 215*u in the form k*u + l*u**2 + q + z*u**3 + w*u**4 and give z.
0
Rearrange (4*p + 5*p - 15*p)*(-p**2 + p**2 + 3*p**2 + (0*p**2 + 0*p**2 + 2*p**2)*(6 + 0 - 3)) to the form l*p**2 + n*p + v*p**3 + g and give v.
-54
Rearrange 5*y**3 + 4*y**3 + 0*y**3 + 1121 - 16*y**3 + 6*y**3 to the form m*y**3 + w*y**2 + d + l*y and give d.
1121
Express -5*t - 5*t + 20*t - 303 - 8*t in the form v + h*t and give h.
2
Rearrange 10*i - 2*i**4 + 15*i - 22*i - 6 + 7*i**3 - 12*i**3 + 2*i**2 to the form b*i**2 + p + h*i + k*i**3 + n*i**4 and give b.
2
Express (-11*j + 7*j - 3*j)*(7 + 35*j - 14*j - 15*j + 2*j**2) in the form g*j + w*j**3 + k + t*j**2 and give g.
-49
Rearrange 0*c + 4*c - 2*c + (0*c + c + 0*c)*(7 - 1 + 6) to the form u*c + s and give u.
14
Rearrange 43*k**2 + 1 + 28*k**3 - 9*k - 40*k**2 - 30*k**3 to b*k + m + r*k**3 + x*k**2 and give r.
-2
Express (-81 + 121 - 41 + 144*n)*(-3*n + 3 - 3) as j*n**2 + o*n + s and give j.
-432
Express 2 + 0 - 275*i**3 - 2 + 0 + 1 in the form b*i**2 + l + w*i + c*i**3 and give l.
1
Express -185*t**2 + 21*t**4 + t**3 + 22*t**4 + 181*t**2 - 2*t + 3*t**4 in the form s*t**4 + j*t**3 + z*t + b + p*t**2 and give p.
-4
Express 8502*g - 4328*g - 4765*g as k + z*g and give z.
-591
Rearrange -7*c**2 + 11 + 21*c**2 + 2*c**4 - 14*c**2 - 5*c**3 to the form g + j*c + z*c**3 + i*c**4 + l*c**2 and give z.
-5
Express (3*s - s + 0*s)*(-808566 + 406867 - 2*s + 404588) + 2*s**2 - 3*s + 3*s as v*s**2 + d*s + k and give v.
-2
Express 109 + 906*y - 194 + 85 in the form w*y + r and give w.
906
Rearrange 163 - 145 - 302 - 304 - o to the form a*o + d and give a.
-1
Rearrange d + 2*d + 0*d + (-1 + 2 + 1)*(-1703*d + 813*d + 1245*d) to c*d + z and give z.
0
Rearrange 29*a - 9*a**2 + 3*a**3 - 29*a to the form d*a**3 + g*a + j + b*a**2 and give g.
0
Express 0 + 3*m**2 - 41*m**2 + 0 + 1309*m**2 as v*m + w + z*m**2 and give z.
1271
Rearrange 4*s**3 - 4 - s**3 + 13*s**3 + 22 to the form f*s**3 + c*s + u*s**2 + y and give f.
16
Express 8*q**4 + 7*q**4 - 25*q**4 + q + 8*q**4 + 4*q**3 + 5 - 2*q**2 in the form c*q + p*q**3 + v*q**4 + b*q**2 + i and give p.
4
Express (-2*b - b + b)*(-40 - 37 + 87) + 2 - 2*b - 3 + 2*b + b as n + a*b and give n.
-1
Express -41 + 41 - 2*b**3 + b**2 in the form d*b**3 + g*b**2 + j + i*b and give g.
1
Rearrange 4*d**4 - 2948*d - 13*d**2 + 2948*d + d**3 to the form h*d**2 + r*d**4 + w + x*d + s*d**3 and give s.
1
Rearrange -178*y + 13 - 30 + 17 to the form l*y + i and give i.
0
Rearrange 12 - 2*h - h - 2*h + 4*h - h - 10*h**2 to z + x*h + m*h**2 and give m.
-10
Express (3*p**2 + 0*p**2 + 0*p**2)*(p - p - 2*p) - 41 + 94*p - 41*p**3 - 96*p + 39*p**3 + 10*p**2 as d*p**2 + w*p + x*p**3 + r and give d.
10
Rearrange -8 - 822*a**2 + 216*a**2 - 8 + 16 to v + h*a**2 + t*a and give h.
-606
Rearrange 8817*w + 9244*w - 18952*w to f + d*w and give d.
-891
Rearrange -182657 + 182657 + 703*c**2 to the form u*c + w + y*c**2 and give y.
703
Rearrange (-1 - 5 + 4)*(-3 - 2*v**3 + 3) + (9*v**2 + 3*v**2 + 31*v**2)*(-v - 8*v + 2*v) to l + a*v + m*v**3 + x*v**2 and give m.
-297
Rearrange 1010*y - 180 + 180 - 74*y + 1372*y to the form x*y + r and give x.
2308
Rearrange (-3*r**2 - r**3 - 2*r**3 + 0*r**3)*(5 + 2 - 3)*(2*r + 0*r + 0*r) to y*r**2 + j + a*r**4 + v*r**3 + p*r and give a.
-24
Rearrange -5 + 3615*c**2 - 11 - c**4 - 3615*c**2 + 7*c**3 to the form p*c**4 + r + b*c**3 + g*c + u*c**2 and give r.
-16
Rearrange 1 + 0*a**4 - 2*a**4 + a**3 - 2*a - a**2 + a**4 to k*a**3 + n*a**4 + v + w*a**2 + g*a and give n.
-1
Express 2 + 0 - 10*s**3 + 651*s**2 - 604*s**2 + 4*s**3 as p*s**3 + d*s**2 + w*s + u and give u.
2
Rearrange -5*s**4 - 5*s**4 + 18*s**3 + 129*s**2 - 127*s**2 - 7*s**4 to q + f*s**3 + j*s**4 + z*s + m*s**2 and give f.
18
Rearrange f**2 + 0*f - 1 + 3*f + 0*f**2 - 5*f + 2 to the form r*f + c*f**2 + t and give t.
1
Express -5*d**3 + 59 - 111 + 9*d**2 + 56 + 0*d**3 in the form v*d + r*d**3 + z + l*d**2 and give r.
-5
Express 64*g**4 - 2 - 15*g**2 + 3*g + 1 - 63*g**4 + 2*g**2 + 2*g**3 as v*g**3 + z*g + q*g**4 + f + l*g**2 and give f.
-1
Rearrange -3 + 1 + 5*t - 1066*t**4 - 10*t**2 - 3*t + 1064*t**4 + t**3 to o*t**3 + c + v*t**2 + s*t + x*t**4 and give x.
-2
Express 5*w + 6 - 33*w + 15*w + 5*w**2 + 10*w in the form o + h*w + a*w**2 and give o.
6
Express 3*y - 19 + 52 - y**2 - 20 - 3*y**4 + 2*y**3 - 10 in the form j*y + f + h*y**4 + v*y**2 + u*y**3 and give u.
2
Express (140*d**2 - 149*d**2 - 1 - 19)*(1 - 1 + 2*d - 2) as r*d + v*d**2 + f*d**3 + k and give r.
-40
Express (-5*n + 3*n + 3*n)*(-n + n + 8*n)*(338*n - 84 + 84) in the form m*n**2 + p*n**3 + l + c*n and give p.
2704
Express -2563*m - 19 + 2552*m + 19 as q*m + n and give q.
-11
Rearrange 3 + 312*q + 159*q - 3 - 63*q to the form v + c*q and give c.
408
Rearrange 2 - 320*v**2 + 812*v**2 - 2 to the form i + u*v**2 + b*v and give u.
492
Express (4*j + 6 - 6)*(2*j**2 - 2*j**2 + j**2) - 59*j**3 + 80*j**3 + 23*j**3 as i*j**2 + k*j**3 + a + t*j and give k.
48
Express 2*l - 246*l**3 + 262*l**3 + 5 - 2*l - 3 + 4*l in the form q + y*l + v*l**3 + n*l**2 and give v.
16
Express -g - 11*g + 2*g + (4 + 3 + 5)*(3*g - g - 4*g) as p + f*g and give f.
-34
Rearrange -4 + p**2 + 4 - 4*p + 2*p**2 + 4*p + (1 - p - 1)*(5*p - 3*p - p) - 57 + 12 - 5*p**2 + 14 to i*p + z*p**2 + s and give z.
-3
Rearrange -356*i + 181*i - 3 + 112*i to the form n*i + k and give k.
-3
Express (-2121*l + 954*l + 1007*l)*(0 + 3 - 2) as j + i*l and give i.
-160
Express (2*s**3 - 3*s**4 - 212 + 212)*(-27 + 13 - 8) in the form t*s + p*s**2 + l*s**4 + a*s**3 + j and give a.
-44
Rearrange -3*j**3 + 1 - 222*j**2 + 1 + 6 + 224*j**2 to m*j + s + t*j**2 + z*j**3 and give s.
8
Rearrange -470*j**2 - 32*j**2 + 182*j - 180*j to the form i*j**2 + h + x*j and give i.
-502
Express (-3 + 3 + j**3)*(5 - 4 + 7) + 9*j**3 - j**3 + 0*j**3 - j**3 + 11 - 11 as v*j**2 + b + w*j**3 + k*j and give w.
15
Rearrange (4*r + r - 2*r)*(r**2 - 7*r + 5*r - 23*r**2) to l*r**3 + n + o*r + j*r**2 and give j.
-6
Express m + 24*m**3 - 3*m**4 + 4*m**3 - 8*m**3 - 2*m**2 in the form a*m**4 + n + w*m**2 + j*m + l*m**3 and give a.
-3
Express (-p**3 - 4*p**3 + 6*p**3)*(-2*p + 2 - 2) - 690*p**3 + 690*p**3 - 3 - 135*p**4 as q*p**4 + y + z*p**2 + v*p + u*p**3 and give y.
-3
Rearrange 6*f**4 - 283*f**2 - 2*f**3 + 2*f + 281*f**2 + 2*f**3 + 2*f to v*f + p*f**2 + h*f**4 + i*f**3 + z and give p.
-2
Rearrange 164*j | {
"pile_set_name": "DM Mathematics"
} |
t 4, 0, j in decreasing order.
j, 4, 0
Let n = -99 - -102. Suppose -4*g + c - 6 = 3, n*g - 4*c - 3 = 0. Put g, -1, 0, 2 in decreasing order.
2, 0, -1, g
Let u(o) = -o**3 - 2*o**2 + o - 2. Let p be u(-3). Suppose p*g + b = 63, 0 = -g + 4*b + 15 + 22. Suppose 5*v = g + 13. Sort 3, v, 2.
2, 3, v
Let u = -568 - -630. Sort -5, 3, u.
-5, 3, u
Let s be -1 + (4/5)/(14/525). Suppose h - b - 1 = 2*b, 0 = -5*h - 2*b - s. Put -0.5, -0.11, h in ascending order.
h, -0.5, -0.11
Suppose 111*n - 115*n = -120. Put n, 2, -1 in increasing order.
-1, 2, n
Let f(s) = s**2 - 6*s + 6. Let y be f(4). Let a = 66 - 16. Suppose -5*t = 30 - a. Put t, -3, y in decreasing order.
t, y, -3
Let a = -178 + 174. Sort 2/27, -5, a in increasing order.
-5, a, 2/27
Suppose -3*z = 2*c - 5, -5*c + z = 6*z - 10. Sort -1/14, 4, c.
-1/14, c, 4
Let k = -151.8 - -175. Let x = 3.2 - k. Let r = x + 20.3. Put 3, r, 2/15 in decreasing order.
3, r, 2/15
Let l = -0.49 + 0.3. Let g = l + 0.69. Let r = -0.1 + g. Sort r, -0.1, 3/5 in decreasing order.
3/5, r, -0.1
Let y(k) = 2*k - 27. Let h be y(11). Let j = h - -8. Sort 1, j, -1 in ascending order.
-1, 1, j
Let b be (45/(-18))/(-2*2/8). Suppose 2*q = 5*q + 12. Let t(s) = s + 1. Let m be t(3). Put q, m, b in decreasing order.
b, m, q
Let x(u) = 4*u + 3. Let n be x(6). Suppose n = 6*t + 3. Sort -4, t, -3, 3 in decreasing order.
t, 3, -3, -4
Let r = -543 + 542.7. Sort r, -3, -42 in ascending order.
-42, -3, r
Suppose 3*x + 2*s + 15 = 0, 0 = 5*x + 3*s + 18 + 6. Suppose -4*g = -2*g - 8. Sort -2, x, g in increasing order.
x, -2, g
Suppose -513*s = -518*s. Let n = -906/7 + 129. Sort n, s, -3.
-3, n, s
Let j be 4 + -7 + 6/(-2). Let r = 6 + j. Let c = -8 + 0. Put c, r, 1 in decreasing order.
1, r, c
Let m = 486 - 491.105. Let v = -0.105 - m. Sort 0, v, 3/2 in descending order.
v, 3/2, 0
Let j be -8*(-2)/96*-4. Sort 1, -26, j, -0.3 in increasing order.
-26, j, -0.3, 1
Suppose 3*a = 4 + 5. Let d = -472/3 + 157. Put -2, d, a, 25 in ascending order.
-2, d, a, 25
Let v = -6.89 - -7. Let a = v + 0.09. Let g be 2/((-3)/(3/5)). Put g, a, 0.5 in increasing order.
g, a, 0.5
Let h = -55.8 - -55.8. Sort 5, h, 4 in decreasing order.
5, 4, h
Let b = 4 + -7. Suppose 0 = -29*n - 53 + 169. Suppose 2*r = -o - 6, 0 = 2*o - 4*r - r + 3. Sort b, o, n.
o, b, n
Suppose 2*g - 11 - 17 = 5*q, -q - 5*g = -16. Let c be -20 + -10 + 19 - -10. Let y = 5 - 0. Sort c, y, q in decreasing order.
y, c, q
Let p(s) = -s**3 + 8*s**2 + 9*s - 3. Let y be p(9). Let v be y/(-3) + (-55)/(-11). Put -4, v, -1, 3 in ascending order.
-4, -1, 3, v
Let r(v) = -6*v - 368. Let z be r(-61). Sort -1, -187, z in ascending order.
-187, z, -1
Let k = -17 + 16. Let t = 0.03 + -0.01. Let f = 0.06 + t. Sort k, f, 0.2 in increasing order.
k, f, 0.2
Let v = 516 - 524. Suppose -y - 2 = -0. Sort 1, v, y, 0.1 in increasing order.
v, y, 0.1, 1
Let q = 36 + -250/7. Sort 0.1, q, 0.5, 2 in decreasing order.
2, 0.5, q, 0.1
Let t(h) = -h**2 - 11*h + 10. Let r be t(-9). Put 9, 2, r in descending order.
r, 9, 2
Suppose -f + 775 = 2*j, 392 = -0*j + j - 4*f. Suppose -3*b = 2*z - 255 - 38, 4*z - j = -4*b. Let k be (12/b)/(8/(-12)). Sort 1, k, -6/11 in decreasing order.
1, k, -6/11
Let m = -3 - -3.1. Let g = -131 + 1183/9. Sort m, g, 1/3, 0.2 in decreasing order.
g, 1/3, 0.2, m
Let d = 0.01 - -0.19. Let x be 2/(-96)*-6*(-40)/6. Sort x, 5, d, -3 in descending order.
5, d, x, -3
Let h be 0/(-13) + (0 - -1). Suppose 5*f - 3*a = f - 7, 4*f - 2*a = -6. Put -5, h, f, -3 in descending order.
h, f, -3, -5
Suppose -5*n = 263 + 337. Let v be (6/(-8))/(n/(-50)). Let t = -51/112 - v. Sort -18, t, 5 in descending order.
5, t, -18
Let q(h) = 5*h**2 - 32*h + 17. Let d be q(6). Sort 3, -23, d in descending order.
d, 3, -23
Let w = 40 - 20. Suppose 0*v + w = -4*v. Let a be (10/(-4))/(15/(-30)). Put a, 1, v in descending order.
a, 1, v
Let v be (-6 - -7) + 0 + (-159)/234. Let o = -2/13 + v. Put 5, 0, -0.2, o in descending order.
5, o, 0, -0.2
Let l = -269 + 263. Suppose k = -4 + 2. Put k, 3, l in ascending order.
l, k, 3
Let f be 10/1 - (2 - 1). Suppose f = 3*v - 2*v - 3*t, -11 = -5*v - 2*t. Let z = 137.1 + -137.5. Sort v, z, 4.
z, v, 4
Suppose 4*g + 2*y - 16 = 0, y = -g + 5*y - 14. Suppose -f = -g*q - 0*q - 25, -3*f + 35 = 4*q. Suppose 1 = 4*u + f. Put u, -5, 1 in decreasing order.
1, u, -5
Let k = -5740 - -5740. Suppose -y - 2*c = 3, 5*y - 3*c - 2*c - 45 = 0. Put y, k, -5 in decreasing order.
y, k, -5
Let y = -989 - -1005. Sort -5, y, -3 in descending order.
y, -3, -5
Suppose -3*u + u + 4*l = -58, 151 = 4*u - l. Let s = 36 - u. Sort 4, 0, s, -33 in ascending order.
-33, s, 0, 4
Let z = 2852 + -2844. Put 0, 10, z, -1 in descending order.
10, z, 0, -1
Suppose o - 4 = 3*i, 6 = -5*i + 4*o - 10. Sort i, -4, -91 in descending order.
i, -4, -91
Let d = -172 - -175. Sort d, -1, -0.2, -17 in ascending order.
-17, -1, -0.2, d
Let s = -53 - -53. Put 35, 3/5, 1/4, s in decreasing order.
35, 3/5, 1/4, s
Let y be ((-60)/8 + 1)*6. Let h = 31 + y. Sort h, -3, 2 in descending order.
2, -3, h
Let k(u) = 80*u - 1202. Let r be k(15). Put -8, r, -4 in ascending order.
-8, -4, r
Let f be (35/14 + -1)/((-10)/4). Sort 18, 0.04, f in ascending order.
f, 0.04, 18
Suppose 3 + 3 = 2*m. Let r be (3 + (-4)/3)*m. Sort 0, -3, r in descending order.
r, 0, -3
Suppose -n - 2*v + 11 = 3*v, -4*v = 5*n - 13. Put -37, 0.4, n in decreasing order.
n, 0.4, -37
Let h = -4.92 + -0.08. Let s = 28 + -31. Put h, s, -4 in descending order.
s, -4, h
Let k = -210.2 - -232. Let t = -39 + 18. Let x = t + k. Sort -5, x, 2/15 in decreasing order.
x, 2/15, -5
Suppose 0 = 2*x - 8*x + 30. Suppose -3*t - 6 = -0*h - 2*h, -2*h - x*t - 26 = 0. Let g(v) = v**2 + v + 3. Let a be g(-2). Put a, 3, h in decreasing order.
a, 3, h
Let z = -54/5 - -48/5. Let d = 0.01 + 0.39. Put d, z, -0.4 in ascending order.
z, -0.4, d
Suppose -4*s = -5*j + 45, j + 3*s = -3*j + 5. Suppose -j = l + 5*y, 3*l - 2 + 4 = -2*y. Let w = 128 - 123. Sort l, 0.5, w in increasing order.
l, 0.5, w
Let f = -34 + 10. Let v = f - -31. Suppose 2*h - 1 - v = 0. Sort h, -0.4, 2.
-0.4, 2, h
Let q = 11698/25 + -468. Put 0.4, 3/5, q, -0.2 in decreasing order.
3/5, 0.4, q, -0.2
Let b = -580 - -576. Put -2, 9, 4, b in decreasing order.
9, 4, -2, b
Let f = 212 + -258. Sort -0.4, -4, f in decreasing order.
-0.4, -4, f
Let j be -1 + (-9)/(-6) - (-21)/18. Let i = 29/21 - j. Let w = 183/185 + -7/37. Sort w, 0.5, i.
i, 0.5, w
Let j = 23 + -19. Let s = 58 - 59. Put -5, j, s in descending order.
j, s, -5
Let y(m) = 35*m + 110. Let j be y(-3). Put j, 0, 6, 4 in decreasing order.
6, j, 4, 0
Let v = -4 - 6. Let b be v/(-30) + (-1)/3. Let g be (1 - b)/(3/(-9)). Put 5, 3, g in decreasing order.
5, 3, g
Let f = 14.3 - 15. Let h = 0.4 + f. Let x = 30 + -35. Put h, x, 0.3 in increasing order.
x, h, 0.3
Let v = 51 - 53.7. Let x = v - -2.2. Put 0.5, -0.3, 0.01, x in decreasing order.
0.5, 0.01, -0.3, x
Suppose -5*o = 4*n + 12, o = n - 5*n + 4. Let g be (1/(-2))/(3/18). Let u be n/1 + 0 - g. Put u, -3, 4 in decreasing order.
u, 4, -3
Let u = 275 - 266. Sort 5, 1, u.
1, 5, u
Let x = -14355/7 + 2051. Put x, 1.3, -0.9 in descending order.
1.3, x, -0.9
Let p(r) = 2*r - 1. Let j be p(-3). Let i = j - -9. Suppose 0 = -4*z + i*s + 3*s - 33, s - 7 = z. Put z, -1, 1 in ascending order.
z, -1, 1
Let a(y) = 2*y**2 - y - 2. Let z be a(2). Let r = 6 - z. Let d be (15/(-6) + r)*0. Sort 4, 5, d in decreasing order.
5, 4, d
Let p(f) = -2*f**2 - 19*f + 4. Let s be p(-10). Let n be -5 - 7/(7/s). Let h be -1*(-1 - 1 - -3). Sort n, h, 6.
h, n, 6
Let q(m) = m**3 + 28*m**2 + 78*m + 58. Let s be q(-25). Put -2, 2, s, -6 in decreasing order.
2, -2, -6, s
Let r(p) = p**2 - 16*p + 12. Let a be r(15). Let q be 3/4 - (-3)/12. Let y be q/(-2) + 7/2. Put y, 2, a in decreasing order.
y, 2, a
Let q(r) = -r**3 - 5*r**2 - 2*r + 6. Let n be q(-4). Let v be 7 + -2 - (0 - n). Suppose 0 = 4*g + 4*u - 28, v*u - 15 = -6. Sort -9, -4, g.
-9, -4, g
Suppose 0*s + 16 = -4*s, 0 = 4*m + 2*s + 4. Let p be 88/(-165)*-5*(-12)/8. Sort m, p, 4 in ascending order.
p, m, 4
Suppose 10*b + 871 = 861. Sort -1/3, b, -4/9, 12 in decreasing order.
12, -1/3, -4/9, b
Let v = 101/5 + -20. Put 1/4, v, -2 in descending order.
1/4, v, -2
Let p = 85 - 594/7. Let q = -15.2 + 14.9. Put 2/17, 0, p, q in decreasing order.
p, 2/17, 0, q | {
"pile_set_name": "DM Mathematics"
} |
0 = 5*w, 2*w + 154 = h. What is the remainder when h is divided by (3 - 1)/(((-318)/(-477))/(11/3))?
8
Suppose -2*b + 54 = -2*f, -2*f = 5*b + 2*f - 99. What is the remainder when 77 is divided by b?
8
Suppose 20*f + 873 = 3*t + 25*f, 0 = 5*f - 15. What is the remainder when t is divided by 107?
72
Suppose 15 = 3*n + 3*x, 0*n - 3*n - 15 = -3*x. Let d(h) = h + 30 - 2*h - h + 2. Calculate the remainder when 95 is divided by d(n).
31
Let z = -4659 - -4670. Calculate the remainder when 189 is divided by z.
2
Suppose 17*j + 4*i = 14*j + 5715, 0 = -2*j + 4*i + 3810. Calculate the remainder when j is divided by 18.
15
Let a(b) = -43*b + 412. Let t be a(9). Let s = 22 + -1. Suppose t*g - 64 = s*g. Calculate the remainder when 30 is divided by g.
14
Let p be (-361)/(-4) + (-9)/(-12). Let y = p + -44. Let t = -276 - -289. What is the remainder when y is divided by t?
8
Suppose 3*y + 23 = 98. Suppose 9 = -y*i + 28*i. Calculate the remainder when i + 13 - 2*(-3)/(-3) is divided by 9.
5
Let g(q) = -184*q**3 - 3*q**2 + 14*q - 11. Let i(s) = -61*s**3 - s**2 + 5*s - 4. Let j(k) = -3*g(k) + 8*i(k). What is the remainder when j(1) is divided by 19?
7
Let s = -95 + 112. Suppose -5*f = -s*f + 492. What is the remainder when f is divided by 22?
19
Let g(j) = -1473*j - 7661. Calculate the remainder when g(-6) is divided by 32.
25
Let t be -443 - (-8 - -3 - 3). Let i = t - -449. Suppose -24 = -3*d + 2*d. What is the remainder when d is divided by i?
10
Let p be (18/27)/((-1)/18). What is the remainder when (-10140)/(-48) + 3/p is divided by 71?
69
Suppose 0 = -49*d + 44*d + 30. Let z(b) = b**3 + 5*b**2 + 3*b - 1. Let v be z(-4). Suppose -y = v*y - 40. Calculate the remainder when y is divided by d.
4
Let v = -17642 + 18180. Calculate the remainder when v is divided by 134.
2
Let a be 2/8 - 4968/(-96). Suppose -a = 7*x - 80. Calculate the remainder when 251 is divided by x.
3
Suppose -54*v + 3005 = -721. Calculate the remainder when 940 is divided by v.
43
Let n(a) = 3*a**3 + 11*a**2 + 8*a - 15. Let r be n(8). Suppose 0 = -80*l + 73*l + r. Calculate the remainder when l is divided by 83.
78
Let v = 189 - 188. Calculate the remainder when (-111 + 0)/(-1) - v/1 is divided by 19.
15
Let w(p) = 2*p**2 + 7*p + 32. Suppose -2*c + 426 = 3*x, -5*x = -5*c + 237 - 922. What is the remainder when x is divided by w(-6)?
16
Let t = -10629 + 11261. What is the remainder when t is divided by 25?
7
Suppose 3*h - 2*j = 3*j + 375, -4*h + 3*j + 500 = 0. Calculate the remainder when h is divided by 120.
5
Suppose 10*h + 92*h = 130 + 3746. What is the remainder when 117 is divided by h?
3
Suppose 0 = q - 4*k - 1311 + 1051, 3*k + 780 = 3*q. Calculate the remainder when q is divided by 38.
32
Let v = -7031 - -7660. What is the remainder when v is divided by 130?
109
Suppose 177*a = 171*a + 1866. Calculate the remainder when a is divided by 105.
101
Let d = -228 - 37. Let z = d - -186. Let u = z - -242. What is the remainder when u is divided by 55?
53
Suppose -653 - 267 = 5*x. Let p = -107 - x. Let b(z) = z**3 + 30*z**2 + 56*z + 16. Calculate the remainder when p is divided by b(-28).
13
Let o be 16/((-3)/21*-2). Let l = o - 38. Calculate the remainder when 127 is divided by 3/l + (-955)/(-30).
31
Suppose 5*m + 20*i - 15*i - 335 = 0, 0 = -m - 4*i + 58. Suppose 0 = 7*v - m - 49. Calculate the remainder when 577 is divided by v.
16
Calculate the remainder when 276 is divided by -3 + -3 + -3 + 1168/8.
2
Suppose -3*d = -5*m + 85, 3*m = 30*d - 25*d + 67. Let x(p) = 2*p**2 + 5*p - 279. Calculate the remainder when x(m) is divided by 8.
7
Suppose -68 = -5*b - m + 19, -b - 3*m = -9. What is the remainder when b is divided by 1 + -7 + 2 + 10?
0
Let q = -279 - -138. Calculate the remainder when (2 - 1)/(1 - 0) - q is divided by ((-18)/4)/(18/(-96)).
22
Calculate the remainder when 1946/4 + -18 + (1 + 2)/(-6) is divided by 21.
6
Suppose -976962 = -32*j + 1223650 - 774916. What is the remainder when j is divided by 12?
9
Let s(t) = 6*t + 92. Let r be s(-12). Suppose m = 2*z + 19, 4*m - z - 110 = -r. What is the remainder when 135 is divided by m?
20
Let k = -862 - -868. Suppose 4*d - g = 27, k*d - g = 4*d + 15. Calculate the remainder when 19 is divided by d.
1
Suppose -49*v + 502 = -37*v - 74. Calculate the remainder when 330 is divided by v.
42
Let z(w) = -w**2 - 161*w + 2088. What is the remainder when 1535 is divided by z(12)?
11
Let y(c) be the first derivative of c**4/4 + 13*c**3/3 - 3*c**2 - 12*c - 430. Suppose 2 = -a - 11. What is the remainder when y(a) is divided by 14?
10
Suppose 2*s = -4*z + 3*s + 385, 5*z + 5*s - 475 = 0. Let v = 68070 - 68059. Calculate the remainder when z is divided by v.
8
Let w be (-66)/(-48) + (-3)/8. Suppose -3*q + 6*i = 2*i - 157, 2*q - 106 = 3*i. Calculate the remainder when q is divided by w + 5 + 0 + 2.
7
Suppose -2*h = 5*k - 22, -88*h + 90*h - 20 = -4*k. Suppose -4*r = -3*l + h*l - 337, -4*l + 466 = -3*r. Calculate the remainder when l is divided by 27.
7
Let y = -620 + 908. Let l = 297 - y. Calculate the remainder when l is divided by -3*4/(-6)*2.
1
Suppose -336*t + 1184 = -3184. Calculate the remainder when (-4)/6 - 136/(-6) is divided by t.
9
Let i = 8100 + -8085. Let q = 430 + -301. Suppose 0 = -s - 2, -s = 5*k - 3*s - q. Calculate the remainder when k is divided by i.
10
Let n = 3 - -13. Suppose n*g + 307 - 1315 = 0. Suppose 7*h + 64 = 11*h. What is the remainder when g is divided by h?
15
Let x(t) = t**3 - 2*t**2 - 2*t - 1. Suppose -23583*i - 855 = -23648*i + 640. What is the remainder when i is divided by x(3)?
1
Suppose 22*m - 35778 = -21764. What is the remainder when m is divided by 98?
49
Let b(h) = h**3 + 5*h**2 + 4*h + 6. Suppose 6 = 6*n + 30. Let m(s) = 3*s**2 - 2*s + 2. What is the remainder when b(n) is divided by m(1)?
0
Let b be (-15)/15 + 3*1. Let o be b/3*(-57)/4*-2. Suppose l - o = -0*l. Calculate the remainder when 73 is divided by l.
16
Let g(w) = -11*w - 193. Let r be 1/((21/(-6) - -2)/27). What is the remainder when 583 is divided by g(r)?
3
Suppose 0 = -6169*j + 6160*j + 10584. What is the remainder when j is divided by 14?
0
Suppose 0 = -3*j - 2*j + 90. Let c be (125/10)/5 - (-210)/4. Suppose c - 11 = 11*d. What is the remainder when j is divided by d?
2
Let l = -12 - -26. Let o = l + -2. Suppose 2*b + 242 = 5*k - 49, -5*b - 226 = -4*k. Calculate the remainder when k is divided by o.
11
Let z be (-1 - -3)/(-2) - (-27 + 3). Suppose -z*t = -27*t + 48. Calculate the remainder when 24 is divided by t.
0
Suppose 0 = -148*l + 149*l - 4*v - 863, v = 4. What is the remainder when 2646 is divided by l?
9
Calculate the remainder when -4 + -1 + 1232/22 is divided by 2*(-6)/30 - (-274)/10.
24
Suppose 23 - 223 = 5*n. Let z = n + 52. What is the remainder when 72 is divided by (-40)/z*(-45)/6?
22
Let l be 4/40*-12*(-10)/2. Suppose 3*c = -l*c + 396. What is the remainder when 259 is divided by c?
39
Calculate the remainder when 343 is divided by 13/(117/495) + 4/(-4).
19
Suppose 0 = -19*a + a - 234. Let b = 37 + a. What is the remainder when b is divided by 14?
10
Suppose 50*v = 45*v + 280. Calculate the remainder when (-3155)/(-40) + 7/v is divided by 41.
38
Let o(n) = n**3 - 19*n**2 + 139*n - 17. Calculate the remainder when o(12) is divided by 65.
58
Suppose 0 = -5*n - 20, 4*l + 5*n - 952 = 3*n. Suppose 105 = l*x - 235*x. Calculate the remainder when 102 is divided by x.
18
Let g(i) = 92*i - 2244. Calculate the remainder when 3596 is divided by g(27).
236
Suppose -4*f = 76 + 240. Let n = f - -125. Suppose 0 = -z + 14 + n. Calculate the remainder when z is divided by 31.
29
Let f(v) = -16*v + 516. Calculate the remainder when 557 is divided by f(29).
37
Suppose -3*f = -4*j - 479, f - 32*j = -29*j + 158. What is the remainder when f is divided by 81?
80
Let q = 9569 - 9443. Calculate the remainder when 614 is divided by q.
110
Let r be 4/(-12)*0*(-1)/(-2). Suppose 11*i - 10*i - 2*q - 84 = r, 0 = 3*i + 4*q - 292. Calculate the remainder when i is divided by 3.
2
Let m(s) be the first derivative of -2*s**2 - 17*s + 3. Let w be m(-11). Let y = -24 + w. What is the remainder when 8 is divided by y?
2
Let v be (-34)/7 - (-344)/(-301). Let c(a) = -4*a**3 - 21*a**2 - 4*a - 11. What is the remainder when 476 is divided by c(v)?
113
Suppose -14*f - 716 | {
"pile_set_name": "DM Mathematics"
} |
Let n = -2401 - -3661. Let a be n/(-200)*(-3)/7. Let m = 19/5 + a. Does m = 0?
False
Suppose -96*c + 17*c - 89363 = 101817. Which is smaller: c or -2419?
c
Let a be (-75 + 77)*((-5)/2 + 1). Let r(q) = 91*q + 210. Let p be r(a). Suppose 4*x - u = -4*u - 264, -3*x = -4*u + 173. Is x smaller than p?
False
Let t = 360 + -198. Let x = -9557/59 + t. Is x != 0?
True
Let y be 315/49 + (-1 - 3 - 4). Which is bigger: -1 or y?
-1
Let d = 10299 + -51328/5. Let p = d - 2429/60. Which is bigger: p or -7?
-7
Let d be (-8 + 4 + 3)*450/1325. Is d less than -1?
False
Let r(k) = 2*k**2 + 17*k + 13. Let y be 112/(-84)*(-9)/(-2). Let a be r(y). Which is bigger: a or -18?
a
Suppose 4*x = -3*n + 5, -5*n + 21*x - 15 = 16*x. Is -31/18 < n?
True
Let p be (-2975)/117 + -91 + 96 - (-1)/(-9). Is -22 equal to p?
False
Let k = 0.236 - -1.854. Let i = 0.89 - k. Is -1 less than or equal to i?
False
Let v(p) = 4*p - 29. Let l be v(7). Let u be (9/(2 - l))/((-2376)/16688). Let i = 188/9 + u. Are i and 17 non-equal?
True
Let n(d) = -3*d**3 + 8*d**2 + 20*d + 21. Let i(g) = 7*g**3 - 15*g**2 - 39*g - 41. Let q(b) = -2*i(b) - 5*n(b). Let v be q(12). Which is greater: -5/17 or v?
v
Let c be 8/(-27)*39/52. Let k(d) = -d - 7. Let x be k(-6). Let g = x + 1. Do g and c have the same value?
False
Let p = 0.02706 - 0.42706. Which is bigger: 396 or p?
396
Let o = -82723.311 - -74990.23. Let c = o + 7742. Let v = 0.081 + c. Does 0.1 = v?
False
Let n be -55 - (0 + (114/12)/19*2). Suppose 2*t = 2*y + 116, y + 2*t = -2*y - 164. Is n at most y?
True
Let v be 2/(-58)*(6 + 40432/(-6748)). Is 0 less than v?
False
Suppose 0 = -3*x + 3*a + 10 + 2, -2*a - 4 = -x. Suppose 2*o - 30 = -x*g, g - 12 = o - 6. Is 23/4 greater than g?
False
Let u be (-10)/4*(-8)/(-20) - (-39)/12. Is u greater than -138?
True
Let s(a) = -a**3 - 6*a**2 - a - 2. Let i be s(-4). Let j = -5183 - -7308. Let m = -2156 + j. Which is smaller: i or m?
m
Let z = -1290.6 - -1347.33. Let n = z + -56.9. Is -0.7 less than or equal to n?
True
Let i(v) = 2*v**2 - 30*v + 47. Let u be i(13). Is u >= 32?
False
Let q be -2 - 3 - (-4 - 0). Let r be (-1)/q*(-2 + (324 - -13)). Which is smaller: r or 336?
r
Let t = 0.55155 + 0.04845. Is 185 at least as big as t?
True
Suppose -5*i + 6 = -2*i. Let t be 1*(-4 + (i - -3)). Let s be t + 3 - (-1180)/(-120). Is s greater than -6?
True
Let k = -1.109 + -0.361. Let h = k - -4.47. Is 17 less than h?
False
Let c = 2197886/3 + -740417. Is c not equal to -7789?
True
Let f = -159 - -168. Let h be (-4)/(-3)*f/12. Which is smaller: -15/91 or h?
-15/91
Suppose -121 = -19*s - 26. Let o = 16 - 5. Let r(h) = h - 6. Let m be r(o). Is s equal to m?
True
Let g = 1194 + -672. Let w = g + -20356/39. Which is smaller: w or 5?
w
Suppose -5*y = 3*u - 54, 2*y - 40 = -5*u - 7. Suppose -i + y = 16. Let v = 4 + i. Which is greater: 1 or v?
1
Let p = 33 - 29. Suppose -w = -p + 21. Is 2/7 equal to w?
False
Suppose 2*a + a - 828 = 0. Suppose 4303*r - 4513*r + 70986 = 12816. Do a and r have the same value?
False
Let o = -20789 - -20788. Are o and -1/25972 unequal?
True
Let a(z) = 9*z**3 + 2*z**2 + z. Suppose 2*v = 10*v - 40. Suppose v*o - 9 - 6 = 5*t, 5 = 3*t + 4*o. Let x be a(t). Which is smaller: -9 or x?
-9
Let u be (2/(-12))/(0 + -35). Let p(v) = v**3 + 21*v**2 + 109*v + 12. Let o be p(-12). Which is smaller: o or u?
o
Suppose -845 = 211*t - 212*t. Is t > 3375/4?
True
Let v(k) = 25*k**3 + 104*k**2 + 1. Let z be v(-4). Suppose 0 = -9*c + 549 + 45. Is c != z?
True
Let g = 2203 - 2396. Is -193 greater than or equal to g?
True
Let z = -127654/97 + 1316. Let x(r) = -r**2 - 4*r - 1. Let u be x(-3). Suppose -u*g + g = 0. Which is greater: z or g?
g
Let g = 187.4 + -91. Let d = 98 - g. Let f = -1 + d. Which is smaller: f or 0?
0
Suppose -f = 3*f + 3*p - 20, -p + 4 = 0. Let g be ((f - -2) + 0)/2. Suppose g*v + 12 = 2*x, -5*x + 3*v + 16 = -4*x. Do x and 8/7 have different values?
True
Let c(y) = y**2 + 11*y - 1606. Let v be c(35). Let o = 2 + 13. Suppose 0 = -3*a + o + 9. Which is smaller: a or v?
v
Let c = 4283 + -4284. Do 1/4130 and c have different values?
True
Let h = -95326486/771 + 123640. Are 0 and h equal?
False
Suppose -p = -2*w - 444, 51*w - 47*w = -5*p - 860. Which is smaller: w or -130?
w
Let x = -0.019 - -56.819. Let k = -49.8 + x. Which is greater: 4 or k?
k
Let n = 51.3 + -122.6. Let a = 1249 - 1320. Let p = a - n. Which is smaller: p or -21?
-21
Let u = -12939/4 - -3214. Let q = 21 + u. Suppose 6*j + 9 = 15. Is q bigger than j?
False
Suppose 4*p - 4*o = 0, -o + 7 = p + 3. Suppose -36 = p*h + h. Let q(u) = 314*u**2 - 2201*u + 11. Let k be q(7). Is h bigger than k?
False
Suppose 0*f = 10*f - 10. Let i be 2*f*(-27)/1458. Is 0.1 < i?
False
Let g be (-1878)/60 + (-6)/(-20). Is -59 >= g?
False
Let g = -317 - -319. Let m be -3*65/15*(-17 - g). Which is greater: 246 or m?
m
Suppose 4*h + 2*x - 24 = 0, -2*h - 3*x - 7 = -3. Is h > 155/16?
True
Let x be (-20)/1005*9/24. Is x at least as big as -118?
True
Let u(v) = -17*v - 829. Let n be u(-48). Which is smaller: -26 or n?
-26
Let b = 0 + 0.2. Suppose -6*p - 26*p + 224 = 0. Suppose 4*t - y = p*t + 72, t + 2*y = -24. Are b and t unequal?
True
Let b be (96/8 - 12)*3/6. Which is greater: b or -2/50985?
b
Suppose 19 = -2*s + h + 17, s + 5*h = 10. Is s < -42/79?
False
Suppose 5*g + 25 = -2*q, -g = -2*q + g + 10. Let n be 306/1326 + 42/(-6630)*29. Which is greater: n or q?
n
Let d(v) = v**3 + 6*v**2 + 2*v - 38. Let y(j) = -j**3 + 3*j**2 + 29*j - 13. Let l be y(7). Let q be d(l). Which is greater: q or -546/11?
-546/11
Suppose -315 = -5*s + 4*w - 25, 0 = 3*s - 2*w - 176. Suppose -3*k - 315 = 4*j, 0 = 4*k - 0 + 4. Let p = j + s. Which is smaller: -29/2 or p?
p
Let s(c) = -c**3 - 51*c**2 + 343*c + 16. Let m be s(7). Which is smaller: m or -442?
-442
Suppose 3*v + n = 12, -8*n + 27 = 5*v - 4*n. Suppose v = 3*o + 9. Let u be ((-3)/(-3))/((-15)/6 - o). Is 0 greater than u?
True
Let j = 4382 - 1463587/334. Suppose 0 = -3*p - 21, -2*u + 10*p = -8 - 62. Which is bigger: j or u?
j
Suppose 0 = v - 4*o - 21, 263*o - 5 = 5*v + 265*o. Which is bigger: v or 5/6907?
v
Let j(b) = -b**2 + 18*b - 30. Let d be j(16). Let s = 3/61 + 168/305. Is s bigger than d?
False
Let z = 58.6 + -57. Let o = 6 + -124. Let q = -119 - o. Which is smaller: z or q?
q
Let t(p) = -1173*p - 1207. Let n be t(-1). Let w be 275/4 + 6/(-8). Let d be 0 + (-5)/(10/w). Is n at least as big as d?
True
Let y(g) = -155*g - 415. Let w be y(9). Is -1809 at most as big as w?
False
Let r(h) = -16*h**3 + 8*h**2 + 7*h + 12. Let m be r(-8). Let w be -1 + 4 + (-10)/m*2602. Is w smaller than 0?
True
Let y(l) = 7*l**2 + 379*l + 164. Let c be y(-53). Which is bigger: c or -259?
-259
Let c(i) = -97*i - 28. Let n be c(2). Let o(y) = 17*y - 323. Let z be o(19). Is z > n?
True
Let g = -36938 + 37028. Is 76 at most g?
True
Suppose -51*l - 4187 + 1586 = 0. Is l equal to -664/13?
False
Suppose 115 - 91 = 6*k. Suppose 4*m - 7 + 3 = -4*g, -k*m + 4 = 3*g. Is m at most as big as 19/9?
True
Let r = -136 - -79. Let f be r/12 - 1/4. Let m = f - -10. Is m smaller than 16/3?
True
Let o be (1 - -1) + -3 + 3610/38. Let h = -95 + o. Let d be (-6)/(-8) + (-4)/10. Which is bigger: h or d?
d
Let h be (924/48 - 4)/((-3)/(-36)). Are h and 193 nonequal?
True
Let y(b) = -b**2 - 10*b - 16. Let u = 21 - 29. Let h be y(u). Suppose -f - 4 + 3 = h. Does f = -6/19?
False
Let u(c) = 80*c**2 - c + 6. Let s be u(-2). Suppose -103 = -3*b - s. Is 1 at least as big as b?
True
Let v = -2/13215 + -584089/92505. Is v less than -6?
True
Let f(s) = 19*s - 300. Let m be f(1). Do m and -281 have different values?
False
Let t = 0.515 + -0.438. Which is smaller: 0.2 or t?
t
Let b(q) = q**3 - 15*q**2 - 12*q - 98. Let n be b(16). Let j(r) = 6*r + 185. Let w be j(n). Suppose 2*g = 3*g + 21. Is w != g?
True
Let v be 1 - (-10)/(30/27). Let f be 3*(1 + 0)*v/5835. Do f and -0.1 have the same value?
False
Let t = -261.4 + 261.35842. Which is bigger: -2/5 or t?
t
Let h(q) = -q**2 + 5*q + 2. Let g be h(5). Suppose 28 = d - 5*d + 2*t, 0 = -g*d - 5*t - 2. Let x be (-8 + 2 - -8) + -5. Which is smaller: x or d?
d
Let w = 1.4 + 0.6. Let n = 40 + -24.22. Let j = -15.4 + n. Which is bigger: w or j?
w
Let l be 12/3*(63 + -86). Which is smaller: l or -106?
-106
Let i be (-190)/(-38)*(6 - 1). Suppose 0 = -i*w + 26* | {
"pile_set_name": "DM Mathematics"
} |
9 and 14750793?
9
What is the highest common factor of 28 and 10316?
4
What is the greatest common factor of 510185 and 376?
47
What is the highest common divisor of 21700 and 100?
100
Calculate the greatest common divisor of 76 and 116945.
19
What is the greatest common factor of 5620 and 596282?
562
Calculate the greatest common factor of 2897699 and 7.
7
Calculate the greatest common divisor of 20947 and 16.
1
What is the highest common factor of 72567 and 198?
99
What is the greatest common factor of 1264 and 3248?
16
What is the highest common divisor of 777 and 507?
3
What is the highest common factor of 202 and 246137?
101
Calculate the highest common factor of 2565 and 96045.
285
What is the greatest common factor of 117 and 29484?
117
Calculate the greatest common divisor of 70844 and 2492.
356
Calculate the greatest common factor of 4480 and 2835.
35
What is the highest common factor of 3741 and 215?
43
Calculate the greatest common divisor of 1947 and 405861.
177
What is the highest common divisor of 56201 and 430?
43
Calculate the greatest common divisor of 239580 and 36.
36
Calculate the highest common divisor of 3402 and 306432.
126
What is the highest common divisor of 1226 and 22?
2
What is the highest common divisor of 29176 and 112?
56
Calculate the highest common divisor of 150304 and 71126.
1342
What is the greatest common factor of 280135 and 2685?
895
What is the highest common divisor of 1046 and 432521?
523
Calculate the highest common factor of 41679 and 39699.
99
What is the greatest common factor of 310 and 57009?
31
What is the greatest common factor of 4420 and 10465?
65
Calculate the greatest common factor of 3306 and 3420.
114
What is the highest common divisor of 891 and 58113?
99
Calculate the greatest common divisor of 2634 and 1130864.
878
Calculate the highest common factor of 134830 and 2224.
278
What is the highest common divisor of 1548 and 860172?
516
What is the greatest common factor of 4368 and 658?
14
Calculate the highest common factor of 15 and 458970.
15
What is the highest common factor of 265 and 20723?
53
What is the highest common divisor of 782 and 3266?
46
Calculate the highest common divisor of 19570 and 95.
95
Calculate the highest common divisor of 1480 and 35890.
370
Calculate the highest common divisor of 78520 and 832.
104
Calculate the highest common divisor of 41220 and 1410.
30
Calculate the greatest common factor of 680 and 5269490.
170
Calculate the highest common factor of 37 and 266141.
37
Calculate the greatest common divisor of 108 and 45954.
54
Calculate the highest common factor of 5985 and 1170.
45
What is the greatest common divisor of 195768 and 243?
9
What is the greatest common divisor of 1092 and 9023?
7
What is the greatest common divisor of 1359 and 45?
9
Calculate the greatest common divisor of 533115 and 10395.
1485
Calculate the highest common divisor of 1027341 and 3545.
709
What is the highest common divisor of 1106567 and 1617?
539
What is the highest common factor of 1782 and 37158?
66
Calculate the highest common divisor of 6962 and 472.
118
What is the highest common divisor of 7739 and 82949?
109
Calculate the highest common divisor of 478188 and 740.
148
What is the highest common factor of 18 and 27358?
2
What is the greatest common factor of 57030 and 12?
6
Calculate the highest common divisor of 31 and 1164019.
31
Calculate the greatest common divisor of 1072 and 3484.
268
Calculate the greatest common factor of 153 and 24849.
9
What is the greatest common factor of 424260 and 4980?
60
What is the highest common divisor of 12 and 2554404?
12
What is the highest common factor of 16 and 276592?
16
What is the greatest common factor of 209 and 1957?
19
Calculate the highest common factor of 540 and 5130.
270
Calculate the greatest common factor of 4452 and 1428.
84
Calculate the greatest common divisor of 172 and 472.
4
What is the greatest common divisor of 876 and 1533?
219
Calculate the highest common factor of 553 and 322162.
79
Calculate the greatest common factor of 47574 and 135.
27
What is the greatest common divisor of 6597444 and 252?
84
Calculate the highest common divisor of 54 and 51462.
54
Calculate the greatest common divisor of 154 and 178717.
77
Calculate the greatest common factor of 4912 and 23025.
307
What is the highest common factor of 608750 and 5625?
625
Calculate the greatest common divisor of 6 and 114240.
6
What is the greatest common divisor of 1232 and 29876?
308
What is the greatest common divisor of 157192 and 588?
196
Calculate the greatest common divisor of 208 and 14992.
16
Calculate the greatest common divisor of 133 and 2135.
7
Calculate the greatest common factor of 538905 and 370.
185
What is the highest common factor of 2 and 249958?
2
Calculate the highest common factor of 1432 and 879964.
716
What is the greatest common factor of 3468768 and 368?
368
Calculate the greatest common factor of 1445 and 855.
5
What is the highest common factor of 113795 and 1100?
55
What is the highest common divisor of 3300 and 33528?
132
What is the greatest common factor of 3262 and 42?
14
Calculate the greatest common factor of 38 and 192242.
38
Calculate the greatest common divisor of 53 and 6243.
1
Calculate the highest common divisor of 577374 and 5126.
466
Calculate the greatest common factor of 2664 and 192.
24
Calculate the highest common divisor of 995 and 1015895.
995
Calculate the highest common factor of 26 and 245453.
13
What is the greatest common factor of 832 and 6903?
13
Calculate the greatest common divisor of 306 and 32742.
306
What is the greatest common divisor of 8551 and 476?
17
Calculate the highest common divisor of 378 and 104412.
42
What is the greatest common divisor of 511 and 4333?
7
What is the greatest common factor of 235380 and 36?
12
Calculate the greatest common divisor of 224346 and 2502.
834
Calculate the greatest common divisor of 385784 and 996.
332
What is the greatest common divisor of 217776 and 1716?
156
Calculate the highest common factor of 4347 and 2737.
161
Calculate the highest common divisor of 365 and 253.
1
What is the greatest common factor of 271513 and 22?
11
What is the highest common factor of 7596 and 27?
9
What is the highest common divisor of 37560 and 120?
120
Calculate the highest common divisor of 444948 and 56.
28
What is the highest common divisor of 2210 and 271150?
170
Calculate the highest common factor of 29967 and 13.
1
What is the greatest common divisor of 200 and 467025?
25
What is the highest common factor of 16 and 80144?
16
What is the greatest common divisor of 1052469 and 396?
99
Calculate the greatest common factor of 96 and 43808.
32
Calculate the greatest common divisor of 14 and 234.
2
Calculate the highest common factor of 3501 and 4149.
9
Calculate the highest common divisor of 746985 and 1425.
285
What is the highest common factor of 277420 and 4?
4
What is the greatest common divisor of 174 and 166083?
87
Calculate the greatest common factor of 1211 and 854.
7
What is the greatest common divisor of 62621 and 104?
13
What is the highest common factor of 559 and 11973?
13
What is the highest common divisor of 60 and 3552?
12
Calculate the greatest common factor of 25701 and 39.
39
What is the greatest common factor of 196000 and 125?
125
What is the greatest common divisor of 30 and 14380?
10
Calculate the highest common divisor of 300852 and 488.
244
What is the highest common factor of 3740 and 109230?
110
Calculate the highest common factor of 2915 and 432795.
55
Calculate the highest common divisor of 15145 and 559.
13
Calculate the highest common divisor of 681 and 1186983.
681
Calculate the highest common factor of 726239 and 97.
97
Calculate the greatest common divisor of 956 and 84.
4
Calculate the greatest common divisor of 27 and 4017.
3
Calculate the greatest common divisor of 891 and 13689.
81
Calculate the greatest common divisor of 19512 and 1080.
72
What is the highest common factor of 4465 and 6016?
47
What is the greatest common divisor of 299 and 124982?
299
What is the highest common factor of 247 and 93067?
13
Calculate the highest common divisor of 98040 and 688.
344
What is the highest common factor of 5285 and 11?
1
What is | {
"pile_set_name": "DM Mathematics"
} |
sequence gfgf when four letters picked without replacement from ofogfffgffooffc.
2/585
Three letters picked without replacement from {b: 4, m: 1, r: 2, a: 1}. Give prob of sequence bab.
1/28
What is prob of sequence nqq when three letters picked without replacement from {q: 3, n: 2, w: 1, m: 2, v: 1, s: 3}?
1/110
Calculate prob of sequence jj when two letters picked without replacement from {m: 3, j: 9}.
6/11
Two letters picked without replacement from xsmxmjjjjxlj. Give prob of sequence lm.
1/66
Calculate prob of sequence bggb when four letters picked without replacement from {k: 3, b: 2, g: 8, m: 6}.
7/5814
What is prob of sequence jsj when three letters picked without replacement from {d: 4, s: 2, j: 5}?
4/99
Calculate prob of sequence pq when two letters picked without replacement from peqqzmzmqzzpqz.
4/91
What is prob of sequence qqvv when four letters picked without replacement from {v: 9, q: 5}?
60/1001
What is prob of sequence dx when two letters picked without replacement from {d: 1, r: 3, x: 1, m: 7, o: 4}?
1/240
Four letters picked without replacement from {w: 6, a: 4, g: 4, l: 5}. What is prob of sequence awal?
5/1292
Three letters picked without replacement from {i: 3, w: 2, t: 3, f: 5, p: 1, h: 1}. What is prob of sequence pih?
1/910
Three letters picked without replacement from {o: 3, n: 1}. Give prob of sequence nnn.
0
Calculate prob of sequence ul when two letters picked without replacement from {j: 1, u: 1, s: 5, e: 1, l: 3, y: 1}.
1/44
Four letters picked without replacement from {z: 3, v: 5, w: 3, y: 1}. What is prob of sequence vvwz?
1/66
Calculate prob of sequence cr when two letters picked without replacement from {c: 6, r: 5, e: 4}.
1/7
What is prob of sequence kffa when four letters picked without replacement from aaffffufuauakfaaa?
1/272
Four letters picked without replacement from avwkatk. What is prob of sequence akkw?
1/210
Calculate prob of sequence sk when two letters picked without replacement from {k: 1, s: 2}.
1/3
Calculate prob of sequence pa when two letters picked without replacement from pax.
1/6
Three letters picked without replacement from {o: 3, l: 4}. What is prob of sequence ooo?
1/35
Calculate prob of sequence ww when two letters picked without replacement from {w: 6, f: 7}.
5/26
What is prob of sequence dh when two letters picked without replacement from ddhddddddhhddhdddddd?
16/95
Two letters picked without replacement from lttlltlltlettt. What is prob of sequence tt?
3/13
What is prob of sequence ls when two letters picked without replacement from wxswcxxlxwtwwxwl?
1/120
Calculate prob of sequence jk when two letters picked without replacement from {b: 1, i: 1, p: 1, k: 1, u: 2, j: 2}.
1/28
Calculate prob of sequence nnn when three letters picked without replacement from {n: 7}.
1
Four letters picked without replacement from {m: 4, f: 3}. What is prob of sequence mfmm?
3/35
Calculate prob of sequence rara when four letters picked without replacement from {a: 2, r: 5}.
1/21
Four letters picked without replacement from {z: 10, k: 2, e: 6, x: 2}. What is prob of sequence kxkx?
1/29070
Calculate prob of sequence tt when two letters picked without replacement from {t: 16, v: 2}.
40/51
What is prob of sequence yh when two letters picked without replacement from ygyhfggggyhygfygyg?
2/51
Calculate prob of sequence nhwn when four letters picked without replacement from nnnhw.
1/20
Two letters picked without replacement from {h: 4, j: 1, c: 2, q: 6}. What is prob of sequence cj?
1/78
What is prob of sequence bm when two letters picked without replacement from bymb?
1/6
Calculate prob of sequence lolo when four letters picked without replacement from ooloooloo.
1/36
What is prob of sequence dlbs when four letters picked without replacement from {l: 6, s: 3, b: 2, d: 4}?
2/455
Calculate prob of sequence rx when two letters picked without replacement from {t: 1, x: 1, c: 2, q: 1, u: 1, r: 1}.
1/42
What is prob of sequence rryj when four letters picked without replacement from ryryyjrryyrjy?
2/143
Calculate prob of sequence km when two letters picked without replacement from movogogskmm.
3/110
Three letters picked without replacement from {p: 13, g: 3}. Give prob of sequence gpg.
13/560
Four letters picked without replacement from {t: 4, b: 14}. Give prob of sequence bbtb.
91/765
Calculate prob of sequence wgci when four letters picked without replacement from {g: 1, i: 1, a: 1, c: 1, w: 2, l: 1}.
1/420
Calculate prob of sequence sz when two letters picked without replacement from {s: 5, c: 4, n: 4, z: 6}.
5/57
Calculate prob of sequence gg when two letters picked without replacement from {u: 18, g: 2}.
1/190
Calculate prob of sequence eao when three letters picked without replacement from {e: 3, o: 5, y: 1, a: 5, g: 1}.
5/182
Calculate prob of sequence tqtq when four letters picked without replacement from stssqttqqstsqtsstt.
7/1020
Two letters picked without replacement from {d: 4, b: 1, p: 2, q: 6, v: 4}. What is prob of sequence bq?
3/136
Calculate prob of sequence za when two letters picked without replacement from {d: 1, c: 2, z: 2, a: 1}.
1/15
What is prob of sequence cs when two letters picked without replacement from shsbbsaabchhsb?
2/91
Two letters picked without replacement from wgavl. What is prob of sequence lw?
1/20
Calculate prob of sequence ff when two letters picked without replacement from {y: 1, f: 4, p: 4, s: 1}.
2/15
What is prob of sequence hh when two letters picked without replacement from {t: 1, h: 6, y: 10, k: 1, g: 2}?
3/38
Calculate prob of sequence fjjf when four letters picked without replacement from {j: 5, f: 3}.
1/14
What is prob of sequence yyyy when four letters picked without replacement from ykkyyyy?
1/7
Calculate prob of sequence axx when three letters picked without replacement from {c: 9, a: 2, j: 3, x: 5}.
20/2907
Four letters picked without replacement from {e: 3, v: 2, x: 3}. What is prob of sequence xxve?
3/140
Three letters picked without replacement from myllnnhlnmblnmy. Give prob of sequence yhn.
4/1365
Calculate prob of sequence cj when two letters picked without replacement from ucccjujccuccccuuuc.
10/153
What is prob of sequence nw when two letters picked without replacement from {l: 1, w: 1, c: 3, n: 1, b: 1}?
1/42
Three letters picked without replacement from {t: 2, x: 2, a: 1, c: 2, w: 4, q: 1}. Give prob of sequence twa.
1/165
Four letters picked without replacement from pdaanpddxpsdnpp. What is prob of sequence dadd?
2/1365
What is prob of sequence lzf when three letters picked without replacement from {u: 1, l: 5, f: 1, z: 5, o: 1, e: 1}?
25/2184
Calculate prob of sequence yw when two letters picked without replacement from ymffwyhm.
1/28
Two letters picked without replacement from {h: 4, v: 5, s: 10, t: 1}. What is prob of sequence ss?
9/38
What is prob of sequence xb when two letters picked without replacement from {s: 5, e: 2, x: 3, p: 2, b: 3}?
3/70
What is prob of sequence kgch when four letters picked without replacement from {k: 2, c: 2, i: 1, h: 1, g: 2}?
1/210
Calculate prob of sequence ks when two letters picked without replacement from {k: 5, i: 1, s: 1, q: 1, u: 6}.
5/182
Two letters picked without replacement from {g: 6, v: 6}. Give prob of sequence gg.
5/22
Four letters picked without replacement from aiiwwwwiwiwww. What is prob of sequence wiiw?
28/715
Four letters picked without replacement from toptqttoxteoptpxeo. Give prob of sequence eqtp.
1/2040
What is prob of sequence kbbk when four letters picked without replacement from kkbkbbkkkbbbkb?
21/286
Calculate prob of sequence ppi when three letters picked without replacement from ppccwccpicif.
1/110
What is prob of sequence ecpc when four letters picked without replacement from {e: 3, c: 5, p: 2}?
1/42
Calculate prob of sequence xc when two letters picked without replacement from ckdcrksxkdc.
3/110
What is prob of sequence oi when two letters picked without replacement from ifviiiviikfoovooivoo?
21/190
Calculate prob of sequence hh when two letters picked without replacement from hhhzhzh.
10/21
Calculate prob of sequence qt when two letters picked without replacement from dtttqpddtdtqp.
5/78
Two letters picked without replacement from wflffffotffwnf. Give prob of sequence nf.
4/91
Wha | {
"pile_set_name": "DM Mathematics"
} |
*r + 31 = 3*m. Suppose -3*d + m = 20. List the prime factors of (4/4)/((-1)/d).
2, 3
Let q be 234/8 + 2/(-8). Let m = -19 + q. List the prime factors of m.
2, 5
Suppose -5*f = 1 - 26. Suppose 5*s - 3*n - 13 = 0, -4*s + f = n - 2. List the prime factors of s.
2
Suppose -4*c - 122 = -5*c. What are the prime factors of c?
2, 61
Suppose -454 + 1708 = 11*u. What are the prime factors of u?
2, 3, 19
Suppose 2*g - 5*g = -6. What are the prime factors of g?
2
Let g = 34 - 1. Suppose -2*t - g = -6*t + 3*i, -2*i + 10 = 0. List the prime factors of t.
2, 3
Suppose 5*x - 19 = 21. Suppose 3*h = 5*h - x. Suppose d - 25 = -h*d. What are the prime factors of d?
5
Let h = 6 + -9. Let k be 13/3 - (-1)/h. List the prime factors of k/(-6) + (-32)/(-3).
2, 5
Suppose 3*k + 7 - 31 = -3*z, 0 = k - 2*z + 4. Suppose 3*b - 1 = k*b. Let x(o) = -11*o**3 + 2*o + 1. List the prime factors of x(b).
2, 5
Let u(n) = n**3 + 14*n**2 + 12*n - 4. What are the prime factors of u(-12)?
2, 5, 7
Let u = 547 - 309. What are the prime factors of u?
2, 7, 17
Let m(u) = -u**3 - 13*u**2 - u + 16. What are the prime factors of m(-13)?
29
Let n be (-8)/4 + 7 + -1. Suppose 7 = -n*o + 19. Let h = o - 0. List the prime factors of h.
3
Let o = 13 - 7. Suppose 2*j + 100 = o*j. List the prime factors of j.
5
Suppose 5*h = 16 + 34. Let k = h - 2. What are the prime factors of k?
2
Let j = 40 + -21. What are the prime factors of j?
19
Let n(q) = -q**3 + 16*q**2 - 14*q - 10. List the prime factors of n(15).
5
Let z(b) = -11*b**2 + 2*b + 3. Let d be z(-5). What are the prime factors of 4/14 + d/(-42)?
7
Let d(s) = s**2 + 14*s + 16. Let g be d(-14). Suppose -u - m + 17 = 0, 5*m - 9 - g = 0. List the prime factors of u.
2, 3
Let f(n) = 12*n - 3. Let x(b) = 11*b - 4. Let w(g) = 3*f(g) - 2*x(g). List the prime factors of w(2).
3
Let y(l) be the first derivative of 3*l**2/2 - 3. What are the prime factors of y(1)?
3
Let v be 25/(-10)*28/(-2). List the prime factors of (60/v)/((-2)/(-14)).
2, 3
Let o be (-1 - 2) + 1 + -3. Let a(p) = -p**2 - 6*p + 6. What are the prime factors of a(o)?
11
Let y = 1 + -3. Let a = y - -5. List the prime factors of a.
3
Let a = 13 + -9. Suppose a = 4*g, 5*f + g - 85 = -4*g. What are the prime factors of f?
2
Let s be 48/40*(-5)/2. Let b be s/(-2)*12/9. Suppose -b*o + 14 = -4*g, -4*g - 15 - 5 = -4*o. List the prime factors of o.
3
Suppose 2*d + 6 = 2*n, -36 = -n - n - 4*d. Let z = -18 + 160. What are the prime factors of z/n - (-3)/12?
2, 3
Let f(b) = -7*b**3 + b**2 - b - 1. Let p be (3 - (-2 + 5))/(-2). Let g be 2 - (-3 - p)*-1. List the prime factors of f(g).
2
Let q(f) = -f**3 - 5*f**2 - 13*f + 7. What are the prime factors of q(-8)?
3, 101
Let u = 82 - 49. List the prime factors of u.
3, 11
Suppose q + 126 = 4*m, -m + q + 13 + 20 = 0. List the prime factors of m.
31
Let n(c) = 36*c + 2. What are the prime factors of n(1)?
2, 19
Let j be (-9)/((-2)/((-16)/6)). Let g = j - -18. List the prime factors of 0 - g/3 - -9.
7
Let i be 4/8 - (-21)/(-2). Let s = -6 - i. What are the prime factors of s?
2
Suppose -108 = -2*y + 5*i, 0 = -y - 2*i - 3*i + 24. What are the prime factors of y?
2, 11
Let u(f) = -4*f + 3. What are the prime factors of u(-3)?
3, 5
Let k be (-1)/4 + (-1)/(-4). Suppose 3 = 3*i - k*i. List the prime factors of i/3 + (-184)/(-24).
2
Suppose -3*u - 3*k + 468 = -0*u, 5*k - 468 = -3*u. List the prime factors of u.
2, 3, 13
List the prime factors of -3*(-7 - (2 + 0)).
3
Suppose -8 = -5*x + 4*r, 3*r = -4*x + 6 + 19. Suppose 4*m = x*t - 24, 7*t - 3*t = -4*m + 56. List the prime factors of t.
2, 5
Suppose -3*t - 2*x = -1, -17 = 4*x - 1. Suppose 0*g - 2 = -n - g, -3*n + t*g = -30. List the prime factors of n.
2, 3
Suppose -a + 5*a + 4*k - 600 = 0, -4*k = a - 141. List the prime factors of a.
3, 17
Suppose 3*t - 350 = -146. What are the prime factors of t?
2, 17
Let j = 10 - 18. Let s(k) = -k**3 - 9*k**2 - 12*k - 8. Let i be s(j). Suppose 2*q + 2*q - i = 0. What are the prime factors of q?
2, 3
Suppose -12*b + 8*b + 428 = 0. What are the prime factors of b?
107
Suppose -2*r = -3*u + 169, -2*u + 2*r + 110 = -2*r. List the prime factors of u.
3, 19
Let b(i) = -2*i - 10. Suppose 0 = -h - 5*x - 20, -x = h + h + 22. What are the prime factors of b(h)?
2, 5
Let a be 7 + (2 - 1) - 3. Let r = 0 + a. Let j = r + 1. List the prime factors of j.
2, 3
Let v(a) = -4*a - 12. Let u be v(5). Let r = 47 + u. What are the prime factors of r?
3, 5
Let i(u) = -u**2 - 5*u - 1. Let v be i(-4). What are the prime factors of 2 - (3 - v)/(-2)?
2
Let d(v) = 2*v + 1. Let b be d(2). Suppose 3*o + b = 38. What are the prime factors of o?
11
Suppose 2*l = 5*l - 30. List the prime factors of l.
2, 5
Let j(p) = 10*p + 15. Let x be j(-11). Let z = -51 - x. What are the prime factors of z?
2, 11
What are the prime factors of ((-4)/(-8) - -2)*604/5?
2, 151
List the prime factors of (-3 - 30/(-8))*16.
2, 3
Let f = 3 - 1. Suppose r - 2*r = -f*a, -33 = -3*r - 5*a. Suppose -2*w + r = -w. List the prime factors of w.
2, 3
Let h = 123 - 6. What are the prime factors of h?
3, 13
Let m(o) = -10*o**3 - o**2 + 1. Let b be m(-1). Let k(v) = 3*v - 9. Let t(p) = -3*p + 10. Let d(l) = -5*k(l) - 6*t(l). List the prime factors of d(b).
3, 5
Let x(v) be the third derivative of -v**4/6 + v**3/3 - 4*v**2. List the prime factors of x(-3).
2, 7
Let v be 2/(-1 - -3) + 2. Suppose -o + v - 1 = 0. What are the prime factors of 0 + (5 - 0 - o)?
3
Let i = -12 + 57. Let q = 26 - i. Let s = 29 + q. List the prime factors of s.
2, 5
Suppose -2*r - 2*l - 85 - 47 = 0, 129 = -2*r - 3*l. Let d = r + 139. Suppose 5*c = -y + 55, -6*c + 2*y + d = -c. List the prime factors of c.
2, 3
Suppose -f + 4*f - 209 = -s, 4*f + 2*s - 276 = 0. What are the prime factors of f?
71
Suppose 43 - 13 = -3*w. Let f = -20 - w. Let z = 22 + f. List the prime factors of z.
2, 3
Let j(d) = 2*d**2 + d + 2. Let r be j(4). Suppose 3*y - 28 = r. List the prime factors of y.
2, 11
Let m = -17 + 20. Let i(x) = 4*x**2 - 1. List the prime factors of i(m).
5, 7
Let d be 6/3 + 10/2. Let q(c) be the third derivative of c**4/24 + 2*c**2. List the prime factors of q(d).
7
Suppose k - 31 = 5*g + 22, 0 = -3*k + 5*g + 119. What are the prime factors of k?
3, 11
Suppose -3*d + 8 = -b, 0*b + 2*d - 2 = -b. Let i = 11 - b. What are the prime factors of i?
13
Let t = 53 - -1. What are the prime factors of t?
2, 3
Let f be 2/(-3) + 2/3. Suppose f = -4*c + 3*c + 2. Suppose 3*t + 4*v = 55, c*t - 3*v = -0*v + 14. List the prime factors of t.
13
Let p(c) = c**2 - 4*c - 9. Let x = -7 + 16. What are the prime factors of p(x)?
2, 3
Let z(b) = 10*b - 8. Let m = 0 + -5. Let v(g) = 7*g - 5. Let c(i) = m*z(i) + 7*v(i). What are the prime factors of c(-6)?
11
Suppose 2*n - 43 - 69 = 0. What are the prime factors of n?
2, 7
Suppose -15*o + 11*o = -4*h - 1596, -h = 2. What are the prime factors of o?
397
Suppose 0 = -c + 5 - 0. What are the prime factors of (c/10)/((-1)/(-12))?
2, 3
Let x(f) = 5*f + 6*f**2 - 4*f - 3*f**2 + 2*f**2. Let a be x(1). List the prime factors of a/12 - (-13)/2.
7
List the prime factors of (-77)/(-4) + (-3)/(-4).
2, 5
Suppose -3*o - 5*n + 579 = 0, 140 = 4*o - 4*n - 632. What are the prime factors of o?
193
Suppose 0 = -g + 2*g - 2. Let j(b) = -2*b - 6. Let k be j(-5). Suppose 0 = g*f - 6 - k. What are the prime factors of f?
5
Suppose 0 = 2*q + q - 51. Suppose -j - 5*o - q = 2, -o = 5. What are the prime factors of j?
2, 3
Suppose 6*o = o + 10. List the prime factors of -3 - -1 - -27*o.
2, 13
Let k(u) = u**3 - 4*u**2 - 9*u - 8. List the prime factors of k(9).
2, 79
Let t(z) = z**3 - 21*z**2 - 19*z - 24. List the prime factors of t(22).
2, 3, 7
Suppose 2*u + u = 0. Let h be (2 + (-4 - u))*-2. Suppose 29 = h*z - 19. What are the prime factors of z?
2, 3
Suppose 0 = b - 76 + 14. Suppose 0*o - 2*o = b. Let f = -20 - o. List the prime factors of f.
11
Suppose 21*j + 55 = 20*j. Let n = j + 107. What are the prime factors of n?
2, 13
Let k = 91 + -3. What are the prime factors of k?
2, 11
Suppose 2*u + 65 = 3*z + 7*u, -4*u = -2*z + 80. List the prime factors of z.
2, 3, 5
Let i(h) = 2*h**2 - 3. Suppose -2*a - 5*l = -24, -2 = 3*a - 4*l + 8. Suppose a = -j - 1. What are the prime factors of i(j)?
3, 5
Let x be 44/8 + (-2)/4. Suppose -l - 20 = x*b, -2*b + 0*b + 2*l = 20. Let t(r) = | {
"pile_set_name": "DM Mathematics"
} |
8*i. Suppose 6 = i*o - 3*o. Let g(k) = -k**3 - 6*k**2 - 1. Determine g(o).
-1
Suppose -2*g + 3*n = 2*g - 21, g = 5*n + 1. Let w(l) be the first derivative of l**4/4 - 7*l**3/3 + 5*l**2/2 + l - 20. What is w(g)?
-5
Let y(l) = -11*l**3 - l**2 - l + 1. Suppose -4*v - 27 = -31*v. What is y(v)?
-12
Let u(m) = m**2 - m + 1. Let r be (-2)/((72/15)/12). Determine u(r).
31
Let q be (-37)/(-7) - (-8)/(-28). Let g = q + -9. Let w(f) = -2*f - 5. Determine w(g).
3
Suppose 4*d = 4, n - 1 - 2 = -d. Let p(z) = 22*z**2 + 29*z**n - 53*z**2 + 2 + 3*z. Calculate p(3).
-7
Let n(t) = 6*t + 6*t + t**2 - 10*t - 5 + 9*t. Let w be n(-12). Let c(k) = -2*k + 10. Give c(w).
-4
Let y(q) = 5*q**2 + 5*q - 10. Let n(b) = b**2 - 1. Let i(c) = 6*n(c) - y(c). Let w(f) = -f**2 + 5*f + 5. Let s be w(5). Determine i(s).
4
Suppose 0*s + s = z - 4, -z - s = 0. Let c(x) = x**2 + 9*x + 2. Let m be c(-9). Let h(r) = 7 + r + m*r - 15 - r**2 + 9. Give h(z).
3
Let u(s) = 6*s + 14. Let n be u(-4). Let l(r) = r + 10. Let w be l(n). Let y(x) = x**2 + 5*x + 18. Let f(c) = -c - 1. Let z(d) = -5*f(d) - y(d). Give z(w).
-13
Suppose 2*n + 9 = q, -5*n + 13 = 5*q - 2. Let c(v) = 53*v + 5. Let g(y) = 9*y. Let a(h) = c(h) - 6*g(h). Calculate a(q).
0
Let g(u) be the second derivative of u**4/12 - 7*u**3/6 + 3*u**2 + 65*u. Give g(6).
0
Let y(r) be the second derivative of -r**3/6 + 10*r**2 - 119*r. What is y(10)?
10
Let b(s) be the second derivative of s**6/180 + s**5/24 - 7*s**4/24 + 29*s**3/6 - 14*s. Let p(f) be the second derivative of b(f). Determine p(-5).
18
Suppose -3*j - 25 = 2*j. Let i(r) = r**3 + 5*r**2 - 1. Suppose 4*h - 28 = -0. Let t(w) = 2*w**3 + 10*w**2 + w - 1. Let k(c) = h*i(c) - 3*t(c). What is k(j)?
11
Let v(b) be the first derivative of b**3 - b**2 - 2*b - 2. Suppose 2*d - 5*t = -3 - 3, -d - 5*t = -12. Determine v(d).
6
Let o(y) = -4*y - 3. Let c(z) = -5*z**2 + 2*z + 4. Let s(v) = 4*v**2 - 3*v - 4. Let q = -9 - -5. Let b(p) = q*s(p) - 3*c(p). Let d be b(7). Determine o(d).
9
Let a(d) = d**3 - 14*d**2 + 8*d + 75. Let h be a(13). Let x(k) = k**3 - 9*k**2 - 7*k - 13. Calculate x(h).
17
Let l(j) = 2*j + 37 - 34 + j**2 + j**3 - 2*j**3. Let s(u) = -u**2 + 3*u + 1. Let n be s(2). Determine l(n).
-9
Let k(p) = p**3 + 4*p**2 - 6*p - 1. Suppose -2*v + t - 49 = 129, 4*t + 16 = 0. Let g = v - -86. Give k(g).
4
Let z(y) = -12*y + 1. Suppose 0 = -5*a - 5, 0 = 3*u + u - a - 5. Determine z(u).
-11
Let g(z) = -z**3 - z**2 - z + 2. Let s(f) = 5*f**3 - 3*f**2 + 9*f - 1. Let m(k) = -4*g(k) - s(k). What is m(5)?
18
Let r = 3 - -2. Suppose 0 = -r*q + 8*q. Suppose 0 = 6*n - 6 - q. Let w(s) = -12*s. Determine w(n).
-12
Let m(t) = t**3 - 6*t**2 + 2. Let b be (-21)/(-14)*24/9. Determine m(b).
-30
Let p(y) be the third derivative of y**6/120 - y**5/15 + 5*y**3/6 - y**2 + 223. Suppose -2*z = 3*z - 20. What is p(z)?
5
Let s(a) = -a**3 - 93*a**2 + 14*a + 3*a + 9 - 93*a**2 - 4*a + 200*a**2. Calculate s(15).
-21
Let n(b) = -b - 3. Let m = -477 + 471. Give n(m).
3
Suppose 0*x = 6*x - 48. Let t(v) = 7*v - x - 23*v + 15*v. Let z be (-44)/8 - 1/2. Give t(z).
-2
Let g(b) = -b - 7. Let s be g(-10). Suppose 0 = -t - 5*c - 13, 0 = -s*t - 3*c - 15. Let r(p) = -2*p - 4. What is r(t)?
2
Let s(a) = -1. Let c = 14 + -13. Let o(p) = 3*p - 8. Let k(j) = c*o(j) - 6*s(j). Let g(n) = n - 1. Let w(l) = -4*g(l) + k(l). What is w(2)?
0
Let d(l) = 5*l**3 + 8*l**2 - 11*l - 8. Let s(a) = 6*a**3 + 8*a**2 - 12*a - 8. Let c(p) = -7*d(p) + 6*s(p). Suppose -4*o - 13 + 41 = 0. Give c(o).
-6
Let y(o) = -o**2 - 4*o - 4. Let l = 9 + -6. Let u = 0 + l. Suppose 2*s + i + 14 = -s, u*s - i = -16. What is y(s)?
-9
Let d(l) = l**3 - 7*l**2 + 7*l - 8. Let k = 60 - 57. Suppose 4*r - 5*y = 19, -4*y - 15 = -k*r - y. What is d(r)?
-2
Let i(m) be the third derivative of -m**9/60480 + m**8/2520 - m**7/720 - m**6/720 - m**5/6 + 9*m**2. Let f(c) be the third derivative of i(c). Calculate f(7).
-1
Suppose -18*q + 32 = -5*a - 15*q, -3*a = 3*q. Let r(w) = -w**3 - 5*w**2 - 1. What is r(a)?
-17
Suppose -3*z + z = -4. Let a(p) = -z*p + 3*p - p - p - 8. Suppose -4 = f + 2*l, 4*l - 1 = -f - 9. Determine a(f).
-8
Let p(j) = 5*j**3 - 2*j**2 + 13*j - 1. Let s(x) = x**3 - x**2 + x + 1. Let t(q) = p(q) - 6*s(q). Let d be (-106)/4 - 17/(-34). Let z = -21 - d. What is t(z)?
3
Let c(x) = 5*x + 1. Suppose -2*w = -3*w - 3. Let t(m) = 2*m**2 + 5*m - 2. Let v be t(w). Let y be -2 + (v - 2 - -1). Determine c(y).
-9
Let c(h) = -h**2 + 6*h - 2. Suppose 8*j = 15 + 33. Give c(j).
-2
Let t(n) = 12*n - 3. Suppose 0 = -2*q + 118 - 114. Calculate t(q).
21
Suppose -2*l = -l - 3. Suppose 0 = l*o - 6, -3*d - o = -3*o - 11. Let g(t) = -t**3 + 5*t**2 + 6*t - 6. Determine g(d).
24
Let d(k) = -4*k**2 - 4*k - 1. Let v = 53 + -60. Let b(m) be the first derivative of 3*m**3 + 4*m**2 + 2*m + 1. Let q(f) = v*d(f) - 3*b(f). Determine q(-4).
1
Let r(a) be the third derivative of a**4/24 - 4*a**3/3 + 14*a**2. Let k be r(5). Let f(t) = -t**3 - 3*t**2 - t + 2. What is f(k)?
5
Let p(a) be the second derivative of -a**7/2520 - a**6/180 + a**5/30 + a**4/12 - 8*a. Let u(c) be the third derivative of p(c). Determine u(-4).
4
Let j(l) = -l**2 - 8*l. Suppose -2*d - 105 = -89. Determine j(d).
0
Suppose y = -1 - 6. Let q(z) = z**2 + 10*z + 10. Determine q(y).
-11
Let c(d) = -d**2 + 7*d - 1. Suppose -17*n - 11*n + 224 = 0. What is c(n)?
-9
Let h(b) = b**2 - 8*b - 2. Suppose 4 = -2*v, 2*s - 5*v = 7*s - 50. Suppose -3*g - 3 = i, 4*g = 4*i - s - 24. What is h(i)?
-14
Let k(r) = r**2 - 7. Let q(b) = b**3 - 3*b**2 - 7*b + 10. Let j be q(4). Let n be (-3 - 5/j)*0. Let y be -1*(-4)/20*n. Give k(y).
-7
Let k(s) = -s**3 - s**2 + 24. Let h be k(0). Suppose -2*d - d + h = 0. Let i(o) = 2*o - 8. Determine i(d).
8
Let i(q) = q**3 - 5*q**2 + 2 + 4 - 12 + q - 2 + 5. Give i(5).
2
Let j(k) = -9*k. Let o(r) = r + 1. Let s = -5 - -6. Let q(w) = s*j(w) + 6*o(w). Let c(t) = -t**2 - 2*t + 4. Let g be c(0). Give q(g).
-6
Suppose i - 1 - 7 = 0. Suppose -q + 0 = i. Let a(u) = -u**3 - 7*u**2 + 8*u + 4. Calculate a(q).
4
Let j(d) = 3*d + 3. Let u(r) = r**3 + 35*r**2 + 2*r + 67. Let v be u(-35). Calculate j(v).
-6
Let p = 1228 - 1220. Let j(o) = -o**2 + 6*o + 17. Determine j(p).
1
Let p(x) be the second derivative of x**4/24 - 2*x**3/3 - x**2 + 2*x. Let u(g) be the first derivative of p(g). Let w be (48 + -48)/(3*1). What is u(w)?
-4
Let t(x) = x**2 + x + 9. Suppose -3*p - 5*y + 3 = 0, 4*p + 14 = 4*y + 50. Let q be -10*(-2 + p/4). Suppose -q*j + 2*o + 9 = -o, -6 = -5*j + 2*o. Determine t(j).
9
Let p(f) = -3*f**2 - f. Let h(j) = 7*j**2 + 7*j - 5. Let x(b) = -h(b) - 3*p(b). Give x(2).
5
Suppose 2*a + s - 3 = -2*a, 6 = 2*a + 2*s. Suppose -2*f + a + 10 = 0. Let b(i) = i. Let c(m) = -3*m - 11. Let h(n) = 4*b(n) + c(n). Calculate h(f).
-6
Suppose 0 = z - 4*d - 3, 7 = -3*z - 0*z + 4*d. Let o(a) = 25*a - 27*a - 819 + 818. Calculate o(z).
9
Let b(i) = i**2 - 11*i + 18. Suppose 36 = -7*y + 11*y. Determine b(y).
0
Suppose -5*j + 14 = -s - 0, 0 = 3*s - 5*j + 22. Let u(r) be the second derivative of 7*r**3/6 + 5*r**2/2 - r + 2. What is u(s)?
-23
Let g(f) = -f**3 - 5*f**2 - 2*f - 8. Let v(p) = -6*p**3 - 5*p**2 + 0*p**3 + 3*p**3 - 5*p**2 - 2*p - 16. Let d(t) = -5*g(t) + 2*v(t). What is d(6)?
8
Let u(i) = -5*i - 1. Let c(m) = 2*m. Let y(p) = -2*c(p) - u(p). Suppose -5*d + 16 - 2 = 4*k, 0 = 3*k + 4*d - 11. Let g = k - -2. Give y(g).
4
Let k be 3/(-6)*(-1 - 115). Let c = -60 + k. Let d(a) = 10*a + 3. Give d(c).
-17
Let t(j) = -3. Let h(p) = 4*p + 32. Let f(n) = h(n) + 10*t(n). Suppose 4*s = -5*o + 41 - 9, -5*s + 23 = 2*o. Calculate f(s).
14
Suppose 0*d - 5*d = -5*s - 5, -3*d + 27 = 5*s. Let o(r) = 1828*r - 1 - 3646*r - 1 + 1820*r. Give o(s).
4
Let q(n) = n**3 + 4*n**2 - 2*n + 7. Let r(o) = 2*o**3 + 8*o**2 - 3*o + 16. Let k(z) = 5*q(z) - 2*r(z). What is k(-5)?
-2
Let p(f) = f**3 + f - 6. Suppose -y - 3*y = 0. Let t = 6 + 1. Suppose y = -3*q + t*q. Calculate p(q).
-6
Suppose -44*v = -253 - 187. Let u(d) = 2*d**2 - 19*d - 5. Give u(v).
5
Let u be (-1064)/(-16) - (1 + (-2)/4). Let o(n) = -7*n + u - 34 - 33. Determine o(2).
-15
Let r(m) = -m**3 - 2*m**2. Let h(a) = -a**3 - 2*a**2 - 1. Let b(s) = -4*h(s) + 3*r(s). Let d = 176 + -205. Let j = d + 26. Give b(j).
-5
Let b(q) be the third derivative of 3*q**2 + 1/2*q**3 + 3/8*q**4 + 0*q + 0 + 1/60*q**5. Determine b( | {
"pile_set_name": "DM Mathematics"
} |
1 AM
What is 260 minutes before 10:01 AM?
5:41 AM
How many minutes are there between 6:44 AM and 9:36 AM?
172
What is 111 minutes after 7:43 PM?
9:34 PM
How many minutes are there between 12:13 PM and 4:43 PM?
270
What is 677 minutes before 5:19 AM?
6:02 PM
What is 657 minutes before 11:35 PM?
12:38 PM
What is 520 minutes before 3:55 AM?
7:15 PM
How many minutes are there between 5:16 AM and 3:47 PM?
631
What is 685 minutes before 5:20 PM?
5:55 AM
What is 14 minutes after 11:38 PM?
11:52 PM
How many minutes are there between 12:06 PM and 7:58 PM?
472
What is 386 minutes before 12:49 PM?
6:23 AM
What is 507 minutes after 10:07 PM?
6:34 AM
What is 38 minutes before 1:06 PM?
12:28 PM
How many minutes are there between 6:14 PM and 6:52 PM?
38
What is 607 minutes before 2:00 PM?
3:53 AM
How many minutes are there between 5:58 AM and 10:04 AM?
246
How many minutes are there between 3:38 AM and 11:06 AM?
448
How many minutes are there between 3:24 AM and 8:45 AM?
321
What is 63 minutes after 11:28 PM?
12:31 AM
How many minutes are there between 4:01 PM and 6:11 PM?
130
How many minutes are there between 7:32 PM and 6:54 AM?
682
How many minutes are there between 6:19 AM and 12:44 PM?
385
How many minutes are there between 1:45 PM and 9:45 PM?
480
What is 572 minutes after 1:10 PM?
10:42 PM
How many minutes are there between 9:02 AM and 9:12 AM?
10
What is 582 minutes before 2:43 PM?
5:01 AM
How many minutes are there between 8:56 AM and 1:26 PM?
270
How many minutes are there between 5:23 PM and 7:42 PM?
139
What is 322 minutes after 2:49 AM?
8:11 AM
How many minutes are there between 8:37 AM and 7:42 PM?
665
How many minutes are there between 11:19 PM and 5:35 AM?
376
What is 92 minutes after 7:30 PM?
9:02 PM
What is 560 minutes before 7:13 AM?
9:53 PM
What is 12 minutes before 2:25 AM?
2:13 AM
How many minutes are there between 8:24 PM and 5:27 AM?
543
How many minutes are there between 10:24 AM and 9:55 PM?
691
How many minutes are there between 4:49 AM and 10:14 AM?
325
How many minutes are there between 2:21 AM and 10:04 AM?
463
What is 40 minutes before 5:06 PM?
4:26 PM
How many minutes are there between 5:15 PM and 5:51 PM?
36
What is 630 minutes after 5:13 PM?
3:43 AM
What is 669 minutes after 12:52 PM?
12:01 AM
What is 419 minutes before 1:04 AM?
6:05 PM
How many minutes are there between 8:21 PM and 6:06 AM?
585
What is 92 minutes after 2:18 AM?
3:50 AM
How many minutes are there between 10:39 PM and 3:42 AM?
303
What is 50 minutes after 5:35 PM?
6:25 PM
How many minutes are there between 6:37 PM and 10:49 PM?
252
How many minutes are there between 1:36 AM and 1:09 PM?
693
How many minutes are there between 10:45 PM and 6:24 AM?
459
How many minutes are there between 7:08 PM and 2:31 AM?
443
How many minutes are there between 11:25 AM and 4:48 PM?
323
What is 141 minutes before 10:11 PM?
7:50 PM
How many minutes are there between 6:11 AM and 12:45 PM?
394
How many minutes are there between 12:50 AM and 3:02 AM?
132
What is 159 minutes after 6:37 AM?
9:16 AM
What is 597 minutes after 12:59 PM?
10:56 PM
What is 508 minutes after 11:51 AM?
8:19 PM
What is 328 minutes before 6:15 AM?
12:47 AM
How many minutes are there between 3:54 AM and 6:50 AM?
176
How many minutes are there between 9:33 PM and 10:49 PM?
76
How many minutes are there between 1:35 PM and 6:58 PM?
323
What is 467 minutes after 12:49 PM?
8:36 PM
What is 128 minutes before 11:50 AM?
9:42 AM
What is 344 minutes after 6:30 PM?
12:14 AM
What is 4 minutes before 10:53 AM?
10:49 AM
How many minutes are there between 4:47 AM and 6:24 AM?
97
What is 639 minutes before 8:36 PM?
9:57 AM
How many minutes are there between 3:04 PM and 10:30 PM?
446
How many minutes are there between 4:13 PM and 12:06 AM?
473
How many minutes are there between 8:36 PM and 10:14 PM?
98
What is 173 minutes before 11:47 PM?
8:54 PM
How many minutes are there between 1:46 PM and 4:11 PM?
145
How many minutes are there between 9:43 PM and 9:23 AM?
700
What is 620 minutes after 12:36 AM?
10:56 AM
How many minutes are there between 4:01 AM and 8:01 AM?
240
How many minutes are there between 4:07 PM and 8:16 PM?
249
What is 166 minutes before 11:52 PM?
9:06 PM
What is 559 minutes before 12:51 PM?
3:32 AM
What is 49 minutes after 8:14 PM?
9:03 PM
How many minutes are there between 3:44 AM and 11:26 AM?
462
How many minutes are there between 5:35 PM and 10:50 PM?
315
How many minutes are there between 9:00 AM and 5:08 PM?
488
How many minutes are there between 5:58 PM and 4:58 AM?
660
What is 481 minutes before 10:19 AM?
2:18 AM
What is 237 minutes after 7:39 AM?
11:36 AM
How many minutes are there between 9:45 PM and 5:22 AM?
457
How many minutes are there between 12:10 PM and 12:49 PM?
39
How many minutes are there between 2:04 AM and 6:07 AM?
243
What is 625 minutes after 9:57 PM?
8:22 AM
How many minutes are there between 1:27 PM and 10:57 PM?
570
How many minutes are there between 11:41 PM and 11:12 AM?
691
What is 676 minutes after 4:12 PM?
3:28 AM
What is 697 minutes before 5:58 AM?
6:21 PM
How many minutes are there between 10:49 AM and 8:30 PM?
581
How many minutes are there between 1:18 AM and 7:45 AM?
387
How many minutes are there between 7:07 AM and 1:52 PM?
405
What is 76 minutes before 2:06 AM?
12:50 AM
How many minutes are there between 9:31 AM and 11:34 AM?
123
What is 54 minutes before 12:37 PM?
11:43 AM
What is 623 minutes before 2:15 PM?
3:52 AM
What is 391 minutes after 7:43 AM?
2:14 PM
What is 454 minutes before 6:51 AM?
11:17 PM
How many minutes are there between 10:49 PM and 5:29 AM?
400
What is 59 minutes before 8:23 AM?
7:24 AM
What is 254 minutes before 7:24 AM?
3:10 AM
What is 646 minutes after 10:34 PM?
9:20 AM
What is 652 minutes after 12:16 AM?
11:08 AM
What is 52 minutes after 10:34 PM?
11:26 PM
How many minutes are there between 3:09 AM and 2:24 PM?
675
What is 50 minutes after 11:40 AM?
12:30 PM
What is 101 minutes after 11:43 PM?
1:24 AM
How many minutes are there between 12:37 PM and 4:41 PM?
244
How many minutes are there between 7:13 AM and 11:16 AM?
243
How many minutes are there between 8:25 AM and 10:33 AM?
128
How many minutes are there between 6:26 PM and 3:46 AM?
560
What is 101 minutes after 7:42 PM?
9:23 PM
What is 170 minutes after 8:16 AM?
11:06 AM
What is 405 minutes before 8:14 AM?
1:29 AM
How many minutes are there between 7:28 AM and 9:52 AM?
144
How many minutes are there between 2:48 AM and 9:49 AM?
421
What is 52 minutes after 4:50 AM?
5:42 AM
How many minutes are there between 8:30 PM and 7:51 AM?
681
What is 181 minutes after 12:13 PM?
3:14 PM
How many minutes are there between 7:08 AM and 8:45 AM?
97
What is 704 minutes after 10:10 PM?
9:54 AM
What is 127 minutes after 6:56 PM?
9:03 PM
What is 401 minutes after 5:43 PM?
12:24 AM
How many minutes are there between 7:16 PM and 4:11 AM?
535
How many minutes are there between 3:17 PM and 11:28 PM?
491
What is 110 minutes before 8:24 PM?
6:34 PM
What is 14 minutes after 7:49 AM?
8:03 AM
What is 641 minutes after 12:12 AM?
10:53 AM
How many minutes are there between 6:16 PM and 12:00 AM?
344
How many minutes are there between 1:07 PM and 10:55 PM?
588
What is 690 minutes before 9:55 PM?
10:25 AM
How many minutes are there between 1:10 PM and 8:19 PM?
429
How many minutes are there between 5:20 AM and 5:10 PM?
710
What is 300 minutes after 2:16 AM?
7:16 AM
How many minutes are there between 11:42 PM and 9:38 AM?
596
What is 583 minutes after 11:24 AM?
9:07 PM
What is 429 minutes after 11:14 PM?
6:23 AM
How many minutes are there between 1:17 AM and 8:56 AM?
459
How many minutes are there between 11:58 AM and 10:39 PM?
641
How many minutes are there between 12:40 PM and 11:44 PM?
664
What is 264 minutes before 2:00 PM?
9:36 AM
How many minutes are there between 10:53 AM and 11:42 AM?
49
What is 373 minutes after 2:15 PM?
8:28 PM
How many minutes are there between 8:28 PM and 1:48 AM?
320
How many minutes are there between 10:46 PM and 4:23 AM?
337
What is 367 minutes before 6:33 PM?
12:26 PM
How many minutes are there between 5:05 AM and 5:56 AM?
51
What is 48 minutes after 11:07 PM?
11:55 PM
How many minutes are there between 12:56 AM and 6:50 AM?
354
What is 715 minutes before 8:14 AM?
8:19 PM
How many minutes | {
"pile_set_name": "DM Mathematics"
} |
.
-2/5, -2/7, -0.06, 0, 18
Put -4, 2/11, -5 in decreasing order.
2/11, -4, -5
Sort -0.3, -0.03, -0.031.
-0.3, -0.031, -0.03
Sort 0.007, -44, 2/3, -1 in increasing order.
-44, -1, 0.007, 2/3
Sort -1, -2972, 3 in descending order.
3, -1, -2972
Put 3, 0.4, 2/11, -0.3 in decreasing order.
3, 0.4, 2/11, -0.3
Sort 43, -4, -3 in ascending order.
-4, -3, 43
Put -1, -4, 334 in increasing order.
-4, -1, 334
Sort 0, -5, -4, 4, -7.
-7, -5, -4, 0, 4
Sort 4, 82, -1/4, -5.
-5, -1/4, 4, 82
Sort -5, -14, -233 in decreasing order.
-5, -14, -233
Put 8, 4, 34 in increasing order.
4, 8, 34
Put -2, 6, 24 in decreasing order.
24, 6, -2
Sort 9, -2, 0 in increasing order.
-2, 0, 9
Sort -10, -3, -35 in ascending order.
-35, -10, -3
Sort -62, -5, -1, -2 in decreasing order.
-1, -2, -5, -62
Sort -146, -5, -0.3 in decreasing order.
-0.3, -5, -146
Put -12, -14, -1 in decreasing order.
-1, -12, -14
Sort 1/8, -1/16, -1/7 in decreasing order.
1/8, -1/16, -1/7
Sort 23, -4, -9, -1, 5 in increasing order.
-9, -4, -1, 5, 23
Sort 4, 22, 8, -3 in increasing order.
-3, 4, 8, 22
Sort 1, 0, -34 in ascending order.
-34, 0, 1
Put -3, 1, -0.09, -0.13, 0 in descending order.
1, 0, -0.09, -0.13, -3
Sort 1/5, 0.3, -0.6, 2 in descending order.
2, 0.3, 1/5, -0.6
Sort 3, 2, -3, 518 in increasing order.
-3, 2, 3, 518
Put 0, -17, -2 in decreasing order.
0, -2, -17
Put 0.65, -2, 3 in increasing order.
-2, 0.65, 3
Put -2/229, -2/7, -1/5, 0.3, -0.34 in descending order.
0.3, -2/229, -1/5, -2/7, -0.34
Sort -0.1, -4, 0, 0.09.
-4, -0.1, 0, 0.09
Put -101, 1, 6 in increasing order.
-101, 1, 6
Put 3, -0.3, 1/3, -0.36, -3 in decreasing order.
3, 1/3, -0.3, -0.36, -3
Sort -52, 1, 4.
-52, 1, 4
Sort 4, -1/3, 42, -2/7 in increasing order.
-1/3, -2/7, 4, 42
Sort 5, 0.1, -3/8, -5.
-5, -3/8, 0.1, 5
Put -6, -4, 4, -3 in ascending order.
-6, -4, -3, 4
Put -5, -2, 4, 3, -21 in descending order.
4, 3, -2, -5, -21
Sort -3/7, 0.4, -0.013, 0.1 in ascending order.
-3/7, -0.013, 0.1, 0.4
Put 1, -0.2, 1/5, -2/5, -3 in decreasing order.
1, 1/5, -0.2, -2/5, -3
Put -1/11, 3, -4, -60 in ascending order.
-60, -4, -1/11, 3
Sort -3, -4, -35, 5.
-35, -4, -3, 5
Sort 4, -5, -8, 0 in decreasing order.
4, 0, -5, -8
Sort -6, -1, 0, -16.
-16, -6, -1, 0
Put 4/3, -5, 2, -2/3 in descending order.
2, 4/3, -2/3, -5
Put -5, -1, 73, 4, 5 in ascending order.
-5, -1, 4, 5, 73
Sort 2/9, 0.08, -0.6, -0.1 in decreasing order.
2/9, 0.08, -0.1, -0.6
Put 12, 7, 3, -13 in descending order.
12, 7, 3, -13
Put 5, -131, -2 in decreasing order.
5, -2, -131
Sort -4, -2, -2/23 in descending order.
-2/23, -2, -4
Sort -1/36, -4, 4, -1 in increasing order.
-4, -1, -1/36, 4
Sort -3, -47, -4.
-47, -4, -3
Put 2, -4, 12, -5 in descending order.
12, 2, -4, -5
Sort -3/20, -3, -9 in decreasing order.
-3/20, -3, -9
Sort 1, 0.2, -51, 3 in decreasing order.
3, 1, 0.2, -51
Sort -5, 5, -3, 8, -8.
-8, -5, -3, 5, 8
Sort 0.2, 6/7, -18, 5 in decreasing order.
5, 6/7, 0.2, -18
Sort 4, 9, 12, -2, 5 in ascending order.
-2, 4, 5, 9, 12
Put 4, -16, -4 in decreasing order.
4, -4, -16
Sort 30, -1, 3, 5, -5 in decreasing order.
30, 5, 3, -1, -5
Sort -7, 0, 2, -33, -1 in descending order.
2, 0, -1, -7, -33
Sort 9, -11, 3, -1.
-11, -1, 3, 9
Put -18, 1/3, -9, -3, 5 in descending order.
5, 1/3, -3, -9, -18
Sort -0.1, -0.2, 29 in ascending order.
-0.2, -0.1, 29
Put 0.2, 3, 2/177, 6 in decreasing order.
6, 3, 0.2, 2/177
Sort 2, 1, 0, -2/9 in ascending order.
-2/9, 0, 1, 2
Put 1/4, 3, 34, -3 in descending order.
34, 3, 1/4, -3
Sort -3, -1, 2, -2, 5.
-3, -2, -1, 2, 5
Sort -3.2, 2/9, 0.3 in decreasing order.
0.3, 2/9, -3.2
Put -2/7, -4.8, 2, -3.1 in ascending order.
-4.8, -3.1, -2/7, 2
Sort -2, -1, -29 in ascending order.
-29, -2, -1
Put -4, -10, 4 in ascending order.
-10, -4, 4
Put 4, -4494, 2, -1 in decreasing order.
4, 2, -1, -4494
Sort 2/5, -0.2, -8/3, -5, 1/10 in decreasing order.
2/5, 1/10, -0.2, -8/3, -5
Sort -5, 4, 1, 60 in ascending order.
-5, 1, 4, 60
Sort 6, -6, 1 in descending order.
6, 1, -6
Sort -1/4, 1, 21/136 in increasing order.
-1/4, 21/136, 1
Sort -4, 39, 1, 91.
-4, 1, 39, 91
Sort 3.3, 1/2, -3 in decreasing order.
3.3, 1/2, -3
Sort -21/2, -5, 2/21, 4 in increasing order.
-21/2, -5, 2/21, 4
Sort -4, -2, 1, 84 in decreasing order.
84, 1, -2, -4
Put -2, 8, -5, -26 in decreasing order.
8, -2, -5, -26
Put -21, -2, 5, -1 in descending order.
5, -1, -2, -21
Put -2, 7, 3, -4 in descending order.
7, 3, -2, -4
Put -1, 3, -155 in descending order.
3, -1, -155
Sort -22, -2, -4 in increasing order.
-22, -4, -2
Sort -5, 4, -20, -3 in descending order.
4, -3, -5, -20
Sort 87, -4, 4 in decreasing order.
87, 4, -4
Sort 3, -110, -4, -5 in decreasing order.
3, -4, -5, -110
Put -732, -2, 0, 5 in descending order.
5, 0, -2, -732
Put 1/3, 3, 1/2, -7 in ascending order.
-7, 1/3, 1/2, 3
Sort -10, 4, -4 in decreasing order.
4, -4, -10
Sort -5, -6, -2, -3, 5 in increasing order.
-6, -5, -3, -2, 5
Put 2, -11, 95, -3 in decreasing order.
95, 2, -3, -11
Sort -1, -5, 147 in descending order.
147, -1, -5
Sort 4, 1, 5, 22, -1 in descending order.
22, 5, 4, 1, -1
Put 3, 0.5, -8, 0.1 in descending order.
3, 0.5, 0.1, -8
Sort 3, -4, 8, -2 in descending order.
8, 3, -2, -4
Put -4, 16, 2 in decreasing order.
16, 2, -4
Sort 27, 5, -5 in descending order.
27, 5, -5
Sort 947, 3/2, -1/8 in decreasing order.
947, 3/2, -1/8
Sort 1, 18, -1 in increasing order.
-1, 1, 18
Sort -3/25, -5, -4, 0.2.
-5, -4, -3/25, 0.2
Put -21, 3, -3/7, -3/4 in decreasing order.
3, -3/7, -3/4, -21
Sort 0, 66, -4.
-4, 0, 66
Sort 1, 3/8, 0.2, -0.32, 0.08 in descending order.
1, 3/8, 0.2, 0.08, -0.32
Put -1, 44, 2 in ascending order.
-1, 2, 44
Put 4, -0.77, -2/15 in increasing order.
-0.77, -2/15, 4
Put 1, 10, -62, 3 in descending order.
10, 3, 1, -62
Sort 8, 5, 4 in increasing order.
4, 5, 8
Sort 3, 35, 1 in decreasing order.
35, 3, 1
Sort -78, 4, 9/2 in increasing order.
-78, 4, 9/2
Put -2, -12, -3, -5, -16 in decreasing order.
-2, -3, -5, -12, -16
Sort 0.1, -11, -3.
-11, -3, 0.1
Put 0.03, 0.33, -15 in decreasing order.
0.33, 0.03, -15
Put -5, 0, -540 in increasing order.
-540, -5, 0
Sort 5, 3, -4, 14 in ascending order.
-4, 3, 5, 14
Put 0.1, 0.1138, -4/7 in decreasing order.
0.1138, 0.1, -4/7
Put -14, -0.2, -2 in descending order.
-0.2, -2, -14
Sort 1/5, -3, 2/9, 0.5, 36 in ascending order.
-3, 1/5, 2/9, 0.5, 36
Sort 8/19, -1/6, -3 in decreasing order.
8/19, -1/6, -3
Sort 30, -7/5, 5 in descending order.
30, 5, -7/5
Sort -3, 1, -4, 12, 23 in descending order.
23, 12, 1, -3, -4
Sort -23, -1, -3.
-23, -3, -1
Sort -3, 2, 22, -5 in decreasing order.
22, 2, -3, -5
Put -3, -1, -31, -5, -0.4 in ascending order.
-31, -5, -3, -1, -0.4
Sort 0.218, -4, 1/27.
-4, 1/27, 0.218
Sort 0, 133, 3.
0, 3, 133
Sort 0.5, 3, -90, 17 in decreasing order.
17, 3, 0.5, -90
Put 3, -434, 5 in descending order.
5, 3, -434
Sort 2, -1, -38 in descending order.
2, -1, -38
Sort 2, 1/4, 22, -10/9, -0.5 in increasing order.
-10/9, -0.5, 1/4, 2, 22
Sort -5, 2, 1, -3, 47 in ascending order.
-5, -3, 1, 2, 47
Sort 3, 0, 4 in descending order.
4, 3, 0
Put 0.5, 4, 0.05, -5 in increasing order.
-5, 0.05, 0.5, 4
Put 6, 5, 82, -3 in descending order.
82, 6, 5, -3
Sort -1, 3, 202, -3, -5 in decreasing order.
202, 3, -1, -3, -5
Put -4, -7, -5, -8 in decreasing order.
-4, -5, -7, -8
Sort 3/4, -3/43, 1 in ascending order.
-3/43, 3/4, 1
Sort -2, -7, -16, 2 in ascending order.
-16, -7, -2, 2
Sort -2/67, 10/7, 1/6, 0.5 in ascending order.
-2/67, 1/6, 0.5, 10/7
Sort -3, 81, 0.4 in increasing order.
-3, 0.4, 81
Put -9, -85, 0, -6 in decreasing order.
0, -6, -9, -85
Sort -2, -2/3, 125, 2/9 in decreasing order.
125, 2/9, -2/3, -2
Sort -5, 0, 12, -3, 5 in ascending order.
-5, -3, 0, 5, 12
Sort 2, -16, -3, 0 in descending order.
2, 0, -3, -16
Sort -1, 0, -23, -2 in decreasing order.
0, -1, -2, -23
Put -1/7, -5, -231 in increasing order.
-231, -5, -1/7
Put -48, 0, 2 in ascending order.
-48, 0, 2
Sort -0.3, -0.1, -4, -1 in ascending order.
-4, -1, -0.3, -0.1
Put -9, 5, -2, -4 in descending order.
5, -2, -4, -9
Sort -1, -3, 2, 5, 39 in ascending order.
-3, -1, 2, 5, 39
Put -3/2, -0.5, -11, 3 in ascending order.
-11, -3/2, -0.5, 3
Put -23, 3, 0.3, 4 in descending order.
4, 3, 0.3, -23
Sort 163, 9, 1 in descending order.
163, 9, 1
Sort 12, 0, -4, 2, 5 in increasing order.
-4, 0, 2, 5, 12
Sort 5, 28 | {
"pile_set_name": "DM Mathematics"
} |
((-77)/21 + 3)*-3. What is h in k*h**5 + h**5 - 63*h - 2*h**5 - 27 + 9*h**4 - 30*h**2 + 18*h**3 - 4*h**5 = 0?
-1, 3
Let r(g) = -11*g - 39. Let s = 22 + -31. Let t be r(s). Determine i so that -8*i**4 + 2*i - 2*i - 25*i**2 - 10*i + 3*i**4 + t*i**3 - 20*i**5 = 0.
-2, -1/4, 0, 1
Suppose -183*z = -169*z - 2730. Let i be (-8)/35 - (z/35 + -6). Factor 18*j**3 + 0 - 17/5*j**2 - 216/5*j**5 + i*j - 108/5*j**4.
-j*(j + 1)*(6*j - 1)**3/5
Let w = 74569/4 - 18642. Let z(m) be the second derivative of -3*m**2 + 0 - 3/40*m**5 - w*m**4 + 7/4*m**3 - 27*m. Factor z(o).
-3*(o - 1)**2*(o + 4)/2
Let b(n) be the second derivative of -9*n**5/110 - 1775*n**4/22 + 7112*n**3/33 - 2372*n**2/11 - 4*n - 5. Factor b(x).
-2*(x + 593)*(3*x - 2)**2/11
Let v(r) = -7*r - 22. Let c be v(-3). Let y be 212/20 + (-4)/(-10) + c. Factor y + 2/3*z**2 - 32/3*z.
2*(z - 15)*(z - 1)/3
Let q = 54/79 - 677/1106. Let x(c) be the third derivative of 0*c - 2/21*c**3 - 13/420*c**5 - q*c**4 + 0 - 1/1470*c**7 + 10*c**2 - 1/140*c**6. Factor x(f).
-(f + 1)**2*(f + 2)**2/7
Suppose 1077/8*v**2 - 183/8*v - 45/2 + 9/4*v**3 = 0. Calculate v.
-60, -1/3, 1/2
Factor 0*b + 0 - 168*b**3 + 6/5*b**4 + 5880*b**2.
6*b**2*(b - 70)**2/5
Let s(y) be the third derivative of -1/40*y**5 + 0*y**4 + 0*y**3 - 3*y**2 + 0*y - 1/160*y**6 + 0 + 1/448*y**8 + 1/140*y**7. Determine q so that s(q) = 0.
-2, -1, 0, 1
Let m(d) be the third derivative of 17/42*d**4 + 0*d + 6 + 9*d**2 - 1/105*d**5 - 20/7*d**3. Factor m(k).
-4*(k - 15)*(k - 2)/7
Factor -8/11*w + 24/11 - 2/11*w**3 - 14/11*w**2.
-2*(w - 1)*(w + 2)*(w + 6)/11
Suppose 17*q = 19*q - 6. Let -8*y**2 - 16*y**2 + 20*y**2 + q*y - 10 + 5*y**2 = 0. What is y?
-5, 2
Find i, given that -219/2*i**4 - 3/2*i**5 + 453*i**3 + 921/2*i - 231/2 - 687*i**2 = 0.
-77, 1
Let z be 15/9 + -3 + 20/6. Solve 129*o**z - 12*o - 50 - 154*o**2 - 123*o = 0.
-5, -2/5
Let h be (69/(-15) + 3)*(1581/124 + -14). Find j, given that h + 169/2*j**2 + 26*j = 0.
-2/13
Factor 8/3*q**2 + 13/3*q + 1/3*q**3 + 2.
(q + 1)**2*(q + 6)/3
Let r(f) be the first derivative of -2/3*f**3 + 0*f - 8*f**2 + 12. What is w in r(w) = 0?
-8, 0
Let r(f) be the first derivative of 3*f**5/20 + 189*f**4/2 + 1005*f**3/4 + 753*f**2/4 - 11792. Find h such that r(h) = 0.
-502, -1, 0
Suppose -13956*d - 42744*d**3 + 12688 - 507*d**4 - 7186 - 6498 - 55197*d**2 = 0. Calculate d.
-83, -1, -2/13
Let u(m) be the first derivative of -m**7/21 - 7*m**6/15 - 8*m**5/5 - 2*m**4 + 43*m - 1. Let o(p) be the first derivative of u(p). Solve o(t) = 0.
-3, -2, 0
Let s(t) be the first derivative of -2/5*t**5 - 2*t**3 + 116 + 0*t + 2*t**4 + 0*t**2. Suppose s(i) = 0. Calculate i.
0, 1, 3
Suppose g = 5 - 2. Suppose -4*p - 43 = -l, 3*l - 8*l = g*p - 100. Determine i so that 7*i**3 - l*i**3 + 6*i**3 + 5*i**5 + 5*i = 0.
-1, 0, 1
Let d(w) = 681*w + 10217. Let m be d(-15). Find a such that -2/17*a**5 + 0 - 6/17*a**4 - 2/17*a**3 + 4/17*a + 6/17*a**m = 0.
-2, -1, 0, 1
Let z be (-3006)/(-1503) + (-2*3/6)/(-1). Solve 4/9*n**5 + 8/9*n**4 - 20/9*n + 56/9*n**2 + 0 - 16/3*n**z = 0 for n.
-5, 0, 1
Determine p, given that -1/7*p**4 - 32*p**3 + 450/7*p + 0 + 227/7*p**2 = 0.
-225, -1, 0, 2
Let m(n) be the first derivative of -n**5/35 + 5*n**4/14 + 23*n**3/21 + 6*n**2/7 + 1072. Let m(i) = 0. Calculate i.
-1, 0, 12
Let n(q) be the second derivative of 23*q**4/4 - 71*q**3/6 + q**2 + 1385*q. Determine g so that n(g) = 0.
2/69, 1
Let p = 158970 + -158967. Factor -2/7*a - 4/7 + 2/7*a**p + 4/7*a**2.
2*(a - 1)*(a + 1)*(a + 2)/7
Suppose -3*o + 1277 + 130 = 0. Let q = -10336 + 17784. Suppose -1696*c - 1231*c**2 - 160 - q*c**3 - 4397*c**2 - o*c**4 - 217*c**4 - 420*c**2 = 0. Calculate c.
-10, -2/7
Let s be 76/57 - 2*80/(-420). Find g such that 0 - s*g**3 + 16/7*g + 4/7*g**5 - 16/7*g**2 + 8/7*g**4 = 0.
-2, 0, 1
Factor 2*t**3 + 128*t + 1329*t**2 - 1467*t**2 - 277 - 4*t**3 - 656*t - 243.
-2*(t + 2)**2*(t + 65)
Find h such that 608/11 + 1214/11*h - 4/11*h**2 = 0.
-1/2, 304
Let u(z) = -50*z**4 - 1050*z**3 + 5865*z**2 - 8620*z + 3675. Let x(g) = -7*g**4 - 150*g**3 + 838*g**2 - 1230*g + 525. Let t(h) = -2*u(h) + 15*x(h). Factor t(b).
-5*(b - 3)*(b - 1)**2*(b + 35)
Let a(i) be the first derivative of -9 + 1/24*i**4 - 1/4*i**3 + 9*i + 0*i**2. Let p(n) be the first derivative of a(n). Find x, given that p(x) = 0.
0, 3
Suppose q - 107 = -104. Let g(n) be the second derivative of -1/5*n**2 - q*n + 0 + 0*n**3 + 1/30*n**4. Factor g(o).
2*(o - 1)*(o + 1)/5
Let d(m) be the second derivative of -m**6/10 + 3*m**5/5 - 5*m**4/4 + m**3 + 590*m. Factor d(i).
-3*i*(i - 2)*(i - 1)**2
Let f(o) = -4*o**5 + o**4 - o**3 - o**2 - 1. Let y(r) = 14*r**5 - 50*r**4 - 184*r**3 - 140*r**2 + 4. Let k(d) = -4*f(d) - y(d). Find m, given that k(m) = 0.
-18, -4, -1, 0
Let f = 565 - 565. Suppose f = 17*x - 14*x - 9. Solve 0 + 1/3*v**4 - 1/3*v**2 - 2/3*v**x + 2/3*v = 0.
-1, 0, 1, 2
Let j(t) be the first derivative of -104*t**5 + 61*t**4 + 268*t**3/3 + 4*t**2 - 326. Determine c, given that j(c) = 0.
-1/2, -2/65, 0, 1
Let r = -344437/5 + 344439/5. Factor -122/5*s + r*s**2 + 24.
2*(s - 60)*(s - 1)/5
Let f(l) = -l**4 + 2*l**3 + l**2 + 2. Let r(t) = 15*t**4 + 74*t**3 - 134*t**2 - 550*t - 373. Let o(a) = 5*f(a) - 5*r(a). Let o(u) = 0. Calculate u.
-5, -5/4, 3
Let x = 313 + -316. Let f be (18/(-63))/(x/7). Determine v, given that -4/9*v**3 + 8/9*v**4 + f*v**5 - 8/9*v**2 - 2/9*v + 0 = 0.
-1, -1/3, 0, 1
Let r(i) = 2*i**3 - 28*i**2 + 47*i + 14. Let l be r(12). Let a be (-15)/(-4) + (-3)/108*-9. Factor -5/2*z**l + 0*z + 0 + 15/2*z**3 + 5/2*z**5 - 15/2*z**a.
5*z**2*(z - 1)**3/2
Let o(n) = 2*n**4 + 42*n**3 - 15*n**2 - 145*n - 87. Let a(v) = -15*v**4 - 335*v**3 + 120*v**2 + 1160*v + 695. Let z(i) = -3*a(i) - 25*o(i). Factor z(d).
-5*(d - 2)*(d + 1)**2*(d + 9)
Let b(r) be the second derivative of -r**6/240 + 3*r**5/32 - 3*r**4/8 + 102*r - 10. Solve b(o) = 0.
0, 3, 12
Suppose -114*i = 306*i - 19740. Let k(o) be the third derivative of 1/42*o**4 + 0 - i*o**2 + 0*o + 1/420*o**6 + 1/70*o**5 + 0*o**3. Let k(h) = 0. What is h?
-2, -1, 0
Factor -46*z - 31*z + 515 - 5*z**2 - 3*z - 45*z + 65.
-5*(z - 4)*(z + 29)
Determine l, given that 0 - 14/17*l**3 - 2180/17*l**2 + 624/17*l = 0.
-156, 0, 2/7
Let q be (-290)/135*6*30/4. Let t = q + 97. Factor 4/3 + 0*m - t*m**2.
-(m - 2)*(m + 2)/3
Let c = -23207 - -23211. Factor -13/3*r**3 + 11/3*r**2 + 13/3*r + 1/3*r**4 - c.
(r - 12)*(r - 1)**2*(r + 1)/3
Factor 324/5*m + 0 + 72/5*m**2 + 3/5*m**3.
3*m*(m + 6)*(m + 18)/5
Suppose -86 = 2*w - 5*o, 3*o = -w + 382 - 326. Suppose -10225/2*j**3 + 28825/2*j**w - 5/4*j**5 - 56425/4*j + 18605/4 + 625/4*j**4 = 0. Calculate j.
1, 61
Factor -14/3*q**3 + 0*q + 0 + 16/3*q**2 - 2/3*q**4.
-2*q**2*(q - 1)*(q + 8)/3
Suppose a - 9 = -2*a. Suppose -531*u = -971*u. Solve 12/7 + 32/7*i + 24/7*i**2 - 4/7*i**4 + u*i**a = 0.
-1, 3
Let h(x) be the third derivative of -x**6/240 - x**5/20 - x**4/6 - 12*x**2 + 20. Determine p, given that h(p) = 0.
-4, -2, 0
Let m(q) be the second derivative of 11/3*q**3 + 4*q**4 + 13/5*q**5 + 0 + 14/15*q**6 + 1/7*q**7 + 52*q + 2*q**2. Determine x so that m(x) = 0.
-1, -2/3
Let u(i) = -55*i + 2102. Let l be u(38). Let s be 4 + -3*(-4)/(-6). Factor -76*t + 9*t**s + 110*t + l - 58*t.
3*(t - 2)*(3*t - 2)
Let z be (-1 - (-18)/20)/(6676/(-25035)). Solve -3/8*r**2 - 6*r + z*r**3 - 15/2 = 0.
-2, 5
Let c(w) = 15*w**5 + 237*w**4 - 801*w**3 + 18*w**2 + 18*w. Let d(j) = -7*j**5 - 119*j**4 + 400*j**3 - 8*j**2 - 8*j. Let r(z) = -4*c(z) - 9*d(z). Factor r(o).
3*o**3*(o - 3)*(o + 44)
Determine q, given that 2/3*q**3 + 232/3*q - 64/3*q**2 - 224/3 = 0.
2, 28
Let o(q) be the third derivative of -q**7/1995 + q**6/570 + 2*q**5/285 - 2*q**4/57 + 1173*q**2. Factor o(d).
-2*d*(d - 2)**2*(d + 2)/19
Let c(t) be the first derivative of -2*t**3/3 + 505*t**2 - 1008*t + 6651. Determine i, given that c(i) = 0.
1, 504
Let b = -1900 - -3204. Let g = 9140/7 - b. Factor -g*c - 18/7 - 2/7*c**2.
-2*(c + 3)**2/7
Let p(l) be the third derivative of 1/12*l**6 + 0 + 0*l**3 + 4/105*l**7 - 1/15*l**5 + 0*l + 35*l**2 + 0*l**4 - 1/56*l**8. Find u such that p(u) = 0.
-1, 0, 1/3, 2
Let b(m) be the second derivative of -2*m**7/21 - 184*m**6/15 - 772*m**5/5 + 58976*m**4/3 - 1172992*m**3/3 + 3444736*m**2 + 3785*m. Let b(l) = 0. Calculate l.
-58, 8
Factor 7360/17 + 1832/17*b**2 - 2/17*b**3 + 7352/17*b.
-2*(b - 920 | {
"pile_set_name": "DM Mathematics"
} |
)/b))))*b*b**10*b**(-28)/b assuming b is positive.
b**(-33)
Simplify (w**10*w*w*w**0)/(w*w**0/w)**(-6/5) assuming w is positive.
w**12
Simplify (n**(-2))**(-3/20)*n/(n**(2/13)*n)*(n*(n/(n/n**10))/n)/n*n*n assuming n is positive.
n**(1449/130)
Simplify (((h*h*(h/(h**(-1/23)*h))/h)/(h/h**9))/(((h*h**(-2/5))/h)/(h**(-10)/h)))**(-3/19) assuming h is positive.
h**(537/2185)
Simplify ((i/(i**(-3)/i))**(-20)/(i**(-3/2)*(i*i**(1/7)/i)/i))**(11/6) assuming i is positive.
i**(-15037/84)
Simplify (o*o**0)**(-2/19)*o**0*o**(1/14) assuming o is positive.
o**(-9/266)
Simplify ((d*d**26*d)/((d**(-17)/d)/d))/((d/(d/d**17))/d**(3/16)) assuming d is positive.
d**(483/16)
Simplify (k**(-1/7)/k)/k**(3/14)*k**1*k**(1/8)/k assuming k is positive.
k**(-69/56)
Simplify ((g/(g*g**17))/g**(-4/9))/(g**1*g)**31 assuming g is positive.
g**(-707/9)
Simplify (((l**(-2/7))**(-2/9))**(-3/2))**(-35) assuming l is positive.
l**(10/3)
Simplify (d**(-2/7)*d*d**(1/2)*(d**(-2/5))**(-9))**(1/10) assuming d is positive.
d**(337/700)
Simplify (a**3/((a*a/a**(-9))/a))/(a/a**2)**31 assuming a is positive.
a**24
Simplify (l/l**(-6)*(l*l*l/l**(-25))/l)**(-13) assuming l is positive.
l**(-442)
Simplify (i**(-1/57)/i*i**32*i*i)**(-30) assuming i is positive.
i**(-18800/19)
Simplify (k*k**(-2/5)*k)**7/(k**(3/8))**36 assuming k is positive.
k**(-23/10)
Simplify (n/(n*(n/(n**14/n))/n))**(15/2)*(n*n**(-19)/n)/n*n*n**(6/11)*n assuming n is positive.
n**(1761/22)
Simplify (m**(4/7))**(-3/14)/(m*m**(-3)*m)**(-24/11) assuming m is positive.
m**(-1242/539)
Simplify ((k/k**(-28)*k)/(k/(k*k/((k/((k/(k/(k*k/((k*((k/k**(-14))/k)/k*k*k)/k*k))))/k))/k))*k))/(k/k**(-1/5)*k)**(1/87) assuming k is positive.
k**(6514/435)
Simplify ((q**(-3/10)*q**30)**(-41))**(-40) assuming q is positive.
q**48708
Simplify ((q**2)**(18/5)*q/(q*(q*q**(-3/7)/q)/q)*q/((q/(q*q**1))/q*q))**(-8) assuming q is positive.
q**(-2976/35)
Simplify (n/n**(1/10))**(-2)/((n/n**(-12)*n)/(n/n**(2/11)*n)) assuming n is positive.
n**(-769/55)
Simplify ((z**(2/11)*z)**(30/7))**(1/34) assuming z is positive.
z**(195/1309)
Simplify ((q*q**(-24))/(q**(-38)/q))**(-3/13) assuming q is positive.
q**(-48/13)
Simplify (l**(-1/3))**(1/22)*l/((l*l/(l*l/(l/(l**13/l)))*l)/l)*l**(3/4) assuming l is positive.
l**(1681/132)
Simplify (o**(-7/6))**(-12)*(o**(5/3)*o)**(16/7) assuming o is positive.
o**(422/21)
Simplify (n*n**(4/7))**(-35)/(n**(1/3))**(-3/29) assuming n is positive.
n**(-1594/29)
Simplify ((g**(-1/5))**10)**5 assuming g is positive.
g**(-10)
Simplify (j*j**(1/23))/j**(3/7)*(j*((j**(-4/9)*j)/j*j)/j)/(j*j**(-14)/j) assuming j is positive.
j**(21982/1449)
Simplify (h**(-3/13))**(-37)/(h**(1/28)/(h/h**(1/5))) assuming h is positive.
h**(16931/1820)
Simplify (w/(w*w**1)*w*w**(-1/16))/((w*w**21)/w*w*w*w**(-1)*w) assuming w is positive.
w**(-369/16)
Simplify (u/u**(-1/3))/(((((u*u*u/((u*u**(-11))/u)*u)/u)/u)/u)/u)*((u**(-1/2)/u)/u)**20 assuming u is positive.
u**(-179/3)
Simplify (y*y*y*y**(-9)/y*y**(-4/3))**(-9) assuming y is positive.
y**75
Simplify ((u/(u**(-41)/u*u))/((((u/((u/(u*u/(u*(u*u*(u/((u/u**(-5/3))/u*u))/u*u)/u)))/u))/u)/u)/u))**(-1/17) assuming u is positive.
u**(-127/51)
Simplify ((m/m**(-11))/(m*m**(2/3)))/((m/(m/(m*m**13*m)))/((m**(-2/39)*m)/m)) assuming m is positive.
m**(-184/39)
Simplify f**(-8)*f**(-13)*(f*f/(f/((f/(f/(f*f**0)*f)*f)/f)*f)*f)**(-33) assuming f is positive.
f**(-54)
Simplify ((c*c**(1/3)*c)**(-45)/(c*c/(c*c*c**(-6)*c)*(c**(2/7)/c)/c*c))**21 assuming c is positive.
c**(-2295)
Simplify ((a**10*a*a**(2/59))**(-25))**(-1/3) assuming a is positive.
a**(5425/59)
Simplify (a**(-1/31))**5/(a/a**(-21))**24 assuming a is positive.
a**(-16373/31)
Simplify (((k**(2/11)/k)/k)/k*k)**(-8/11)/(k/(k/(k*k**16*k*k*k))*(k/(k*k**(2/3)/k*k))/k) assuming k is positive.
k**(-6175/363)
Simplify (y**23*(y/(y/(y*y**(1/7)*y)))/y)/(y*y**(2/41)*y**27*y) assuming y is positive.
y**(-1408/287)
Simplify ((s**(2/9)/s**(2/21))**(10/3))**(-3/8) assuming s is positive.
s**(-10/63)
Simplify q**(-1/8)/q*q*q**(-5/6)*q/q**5*q**10/q*q*q assuming q is positive.
q**(145/24)
Simplify (u**(-3/8)*u)**(-33)*(u**(-1/9))**(9/10) assuming u is positive.
u**(-829/40)
Simplify (u*(u/(u/(u*u*u*u**(2/21)*u)))/u*u/u**(-2/87))/((u*u/u**(2/13))/(u*(u*u**25/u*u)/u)) assuming u is positive.
u**(77249/2639)
Simplify k**10/(k/(k*k*k*k*k*k*k**(-38)*k))*(k**(-1/23))**(3/4) assuming k is positive.
k**(-2027/92)
Simplify (t**(3/4)*t*t)/t*t/(t*t**(-6))*((t/t**(-16/9))/t)/(t*t**(-16)*t) assuming t is positive.
t**(847/36)
Simplify (p**(-1)/(p**(4/7)*p))/((p/(p/(p**(1/4)*p)))/p**(1/3)) assuming p is positive.
p**(-293/84)
Simplify (f/(f**5/f))/f**12*f**(1/11)/f*f*(f**16*f)/f assuming f is positive.
f**(12/11)
Simplify (p**7/((p/(((p*p/(p/(p/(p/(p**(2/9)*p))))*p)/p)/p)*p)/p*p))/(((p/(p/p**(-6/5)))/p)/(p*p**(-2/7)/p*p)) assuming p is positive.
p**(2878/315)
Simplify (r**3/(r**(-1/3)/r)*(r/(r/((r/(r*r/(r/(r/r**0))))/r)))**(12/7))**(8/11) assuming r is positive.
r**(152/231)
Simplify ((w*w/(w**(-4/31)*w))/((w**9*w)/w))**24 assuming w is positive.
w**(-5856/31)
Simplify ((((t*t*t*t*t**(-3)/t*t*t)/t)**(2/21))**45)**(1/53) assuming t is positive.
t**(30/371)
Simplify ((q*q**(-1)/q*q)/((q**46/q)/q*q*q))**(-7/2) assuming q is positive.
q**161
Simplify ((w/(w/(w/w**9*w)))/w*w**(-4)*w**(-6/11)*w**1)**(19/4) assuming w is positive.
w**(-2413/44)
Simplify (f**(2/25))**(5/8)*(f**6)**24 assuming f is positive.
f**(2881/20)
Simplify ((f/((f*f/((f**(1/4)/f*f)/f))/f)*f*f**(1/6))**(21/2))**(-18) assuming f is positive.
f**(-315/4)
Simplify (k*k**(1/12)*k*k**16*k*k)/((k*k**(2/13))/((k*k**(19/3))/k)) assuming k is positive.
k**(3941/156)
Simplify (s/(s/s**6))**(15/7)*(s*s**(-2/51)/s)/s*s**(-12)/s assuming s is positive.
s**(-422/357)
Simplify (((w/((w*((w**2/w)/w)/w)/w))/w*w*w*w**(-6))/(w**(-4)/(w**(-1/7)*w*w)))**(2/29) assuming w is positive.
w**(40/203)
Simplify ((((r**(-7)/r)/r)/(r*r**(-8)))**25)**10 assuming r is positive.
r**(-500)
Simplify ((w**30)**(13/5))**(-38) assuming w is positive.
w**(-2964)
Simplify (q**(-23)/q**(2/5))**(-12) assuming q is positive.
q**(1404/5)
Simplify (v**(-2)/v*v)**(-3/4)*v/((v*v*v*v**2/v)/v)*v*v/(v*v**(1/5)*v) assuming v is positive.
v**(-7/10)
Simplify n**10*n**(-3)*n*n*n*n**(-2/33)*n*n**(-2/37)/n*n assuming n is positive.
n**(13291/1221)
Simplify ((h**(-7)*h/(h/(h*(h*h**(-11))/h)))**(-39))**(-1/17) assuming h is positive.
h**(-39)
Simplify ((p*p*(p/(p/p**(-13)))/p)/(p*p**2*p))/(p**1*((p/(p**(-6/7)*p))/p)/p) assuming p is positive.
p**(-111/7)
Simplify ((i**(36/5))**(-6))**16 assuming i is positive.
i**(-3456/5)
Simplify ((o/(o*o**(1/4)))**(2/15)/(o**3)**(12/5))**10 assuming o is positive.
o**(-217/3)
Simplify (v**(-18)*v**(-8/9)*v)/(v**7/v*v/v**8) assuming v is positive.
v**(-152/9)
Simplify (r/r**2)/r**(-9)*r**(2/9)*r**(-7) assuming r is positive.
r**(11/9)
Simplify (f/(f/(f**(-9)*f)*f)*f)/f**1*(f**(-1/4)*f)**(-8) assuming f is positive.
f**(-15)
Simplify c**(-21)*c*c**(4/15)*(c**(1/19))**(25/2) assuming c is positive.
c**(-10873/570)
Simplify ((l**(-3))**(6/11)/((l**(-1/8)*l)/(l*l*l/(l**(1/3)/l*l))))**39 assuming l is positive.
l**(533/88)
Simplify ((w/(w/(w/w**23)*w))**(11/6))**48 assuming w is positive.
w**(-2024)
Simplify ((w*(w*w/(w*w**(-1/17)))/w*w*w)/(w**(-3/11)/w))**(5/2) assuming w is positive.
w**(2025/187)
Simplify ((b/b**(16/3)*b**15)**(-32))**(-7/6) assuming b is positive.
b**(3584/9)
Simplify (m/(m/m**(-2/7))*m)/m**(1/11)*m**4/m**3 assuming m is positive.
m**(125/77)
Simplify ((g*g**(-3/5)/g)/(g*g*g*g*g*g**24*g))**(-38) assuming g is positive.
g**(5814/5)
Simplify (d**(1/3)*((d*((d*d**(-2/13))/d*d)/d*d)/d)/d*d)/((d*d*d/(d**2*d))/d)**(-24) assuming d is positive.
d**(-890/39)
Simplify (((x*x**(7/3)*x)/x*x/x**(1/3))/(x**0*x*x**(6/5)*x))**42 assuming x is positive.
x**(168/5)
Simplify (y**24/(y*y**(2/11)))/((y/y**(-3/2))/(y/(y/(y*y/y**20)))) assuming y is positive.
y**(51/22)
Simplify (w/(w/(w/((w/w**(2/5))/w))))/(w/(w/((w*w/w**3)/w)))*w**(9/2)*w/(w*w**4) assuming w is positive.
w**(39/10)
Simplify ((((d/(d*d**(1/2))*d)/d)/d**(-3))/(d*d*d**1*d)**46)**(-19/3) assuming d is positive.
d**(2299/2)
Simplify ((u/(u**(-1/6)/u))/u*u**(1/7))/(u*u/(u**1*u))**0 assuming u is positive.
u**(55/42)
Simplify o**(-2/29)/o**(-1/22)*((((o**(2/17)*o)/o*o)/o*o)/o)**(14/5) a | {
"pile_set_name": "DM Mathematics"
} |
Let m = u - -1/153. Calculate the common denominator of 2 + -3 - (-11)/10 and m.
10
Let j be ((-3)/(-4))/(1/(-4)). Suppose 6*r + n + 88 = 11*r, 0 = -2*r - 3*n + 42. What is the smallest common multiple of (-22)/(-6)*(3 - j) and r?
198
Calculate the common denominator of 2/6 - (75/26)/(-5) and -49/2.
78
Let k(j) = 3 - 33 - 6 - 9*j. Calculate the smallest common multiple of 24 and k(-8).
72
Let z = 99 + -53. Suppose 2*x - 23 = c - 2*c, -4*c = x + 6. What is the lowest common multiple of z and x?
322
Let s(c) = c**2 + c - 5. Suppose 5*k = -0*k. Let a be s(k). Let o(w) = -w**2 - 6*w - 2. Calculate the least common multiple of o(a) and 7.
21
Suppose -5 = 5*f - 3*d + 37, -2 = -f - 2*d. Let i = 421 - 208. Find the common denominator of (i/f)/(3 + -8) and 81/58.
290
Suppose -10*b = -6*b - 5*s - 221, -2*b - 2*s = -106. What is the lowest common multiple of 522 and b?
1566
Let h = 3/4916 - -169569/54076. Find the common denominator of h and 119/410.
4510
Let d = -242 + -1652. Let c = d - -75799/40. What is the common denominator of 47/8 and c?
40
Suppose -2*u = -0*u + 7838. Let g = 2410505 + -33801843/14. Let s = g - u. Find the common denominator of 39/16 and s.
112
Let p = -267779/95969 - -4/5051. What is the common denominator of p and (-399)/(-72) + (-1)/(-3)?
152
Suppose n + 2*o = -7, 2*o - 16 = 4*n + 6*o. Let u be -2 + 36 + 3 + n. Suppose -h = h + 2*w - u, 4*h - 92 = w. What is the lowest common multiple of 20 and h?
220
Let h = -9010577 - -135336958/15. Let y = -19685 + 31578. Let a = y - h. Find the common denominator of a and 67/10.
30
Suppose -145*x + 141*x = -16. Suppose 104 + 72 = x*v. What is the smallest common multiple of v and 7?
308
Suppose b + 20 = -2*a, -b = -0*b + 5*a + 29. Calculate the lowest common multiple of 11 and (-6)/(-8)*(-10 - b).
33
Suppose 9*v + 115 = -407. Let j = -28 - v. Calculate the smallest common multiple of j and 12.
60
What is the common denominator of ((-33)/96)/((-8)/32) and 5/44?
88
Let c = -2/439437 + 7372799/4980286. Calculate the common denominator of -103/78 and c.
1326
Calculate the common denominator of (-38)/10 + 4 - (-2998)/(-18740) and 3/2.
1874
What is the least common multiple of 29 and (-3)/(((-32)/(-192))/(1/(-2)))?
261
Suppose -11344 = -2*o + o + g, 0 = 4*o - g - 45391. Let f = o + -249727/22. Calculate the common denominator of f and 226/(-24) + (-3)/9.
44
Suppose 167544 = 4*o - 347280. Let s = o - 12355909/96. Find the common denominator of s and 69/14.
672
Suppose 2*t - 3*u = -t + 39, 59 = 5*t - 3*u. Let y = 102 + -97. Calculate the lowest common multiple of t and y.
10
Find the common denominator of 103/204 and ((-1066)/(-104))/(10/(-8)).
1020
Let z = 2146 - 1346. Suppose 5*n = -5*o - z, 2*o + 270 = 2*n - 50. Calculate the smallest common multiple of (12/(-10))/(12/o) and 5.
80
Let w = -762620363417963/168264420480 + 1/1314565785. Let y = w + 4532. Find the common denominator of -19/10 and y.
640
Suppose -160*z = -155*z - 290. Calculate the least common multiple of z and 4.
116
Suppose 0 = d - 6*d + 42795. Let z = -171097/20 + d. Calculate the common denominator of z and -47/18.
180
Calculate the common denominator of ((-2)/8)/(9/(-672)) and -1 + ((-4)/6 - (-35)/(-2)).
6
Suppose 4*o = -5*n + 56, 0 = 3*n - 6*n. Suppose 2 = 2*y, 8*y - 3*y - 61 = -2*r. Calculate the smallest common multiple of r and o.
28
Suppose 0 = 10*i - 15*i + 15. Suppose 0 = 5*t + i*s - 105, 4*s - 5 = -25. Calculate the least common multiple of 6 and t.
24
Let g(o) = -53*o**3 + 2*o**2 - 19*o - 5. Let j be g(-7). Let f = -2797523/152 + j. Calculate the common denominator of f and -31/16.
304
Let p = -121447/18 + 6753. What is the common denominator of p and (-1)/(-4) + (-36)/10?
180
Let z be 40814/(-40)*(-4)/(-2608). Let c = 2/815 + z. Calculate the common denominator of -2 + 0 + 39/(-4) and c.
16
Let l = -1681/45 - -88213/2340. Find the common denominator of l and -95/2.
260
Let s(w) = -5*w - 5. Let o be s(-5). Let u = -4 + o. What is the lowest common multiple of u and 12?
48
Let w = -522/49 - -40543/3332. Find the common denominator of w and ((-87)/28)/((-6)/4).
476
Let x = 3332/115 + -66260037/2286890. Let g = -502116/109373 - x. Calculate the common denominator of -25/6 and g.
66
Let d = 879/25 - 14349/400. What is the common denominator of (-2)/7 + (-502)/56 and d?
80
Find the common denominator of 3/1 + (-1)/(-6) and (-1 - (-3)/9)/((-90)/(-1647)).
30
Let i(w) = 4*w**3 - 14*w**2 + 9*w + 5. Calculate the lowest common multiple of 60 and i(5).
600
Let d = 142 + -57. Calculate the least common multiple of d and 20.
340
Let u be (-17)/9 + 2 + 2070478/396. Suppose 4*r - 5*y = 20883, -4*r - 3*y + 8925 = -11998. Let g = r - u. What is the common denominator of g and 79/8?
88
Let k(g) = 23*g + 387. What is the lowest common multiple of 9 and k(0)?
387
What is the lowest common multiple of 12 and 9/(-6)*1092/(-9)?
1092
Let o(m) = -20*m**3 + m**2 + 2*m + 1. Let t be o(-1). Find the common denominator of (-19)/t + (0 - -2) and 21/10.
20
Find the common denominator of (-849)/(-216) + (-4)/18 and 172/(-1118) + (-2914)/156.
24
Suppose 4*r + a = 94, -149*r + 154*r + a - 118 = 0. Calculate the least common multiple of 34 and r.
408
Let u = 756 - 336. Calculate the least common multiple of 3 and u.
420
Suppose -5*d = 1060 - 1260. What is the smallest common multiple of d and 40?
40
Suppose 3*s - 3*a = 60, 3*s = 8*s + 5*a - 60. What is the smallest common multiple of s and 12?
48
What is the lowest common multiple of 28 and ((-264)/15)/((-7)/35)?
616
Let x = 1087 - 2237/2. Let o(z) = -z**3 - 6*z**2 + z + 5. Let b be o(-6). Calculate the common denominator of x and b/12*114/(-4).
8
Let y(o) = 3*o + 3. Let g be y(3). Suppose 36*f - 38*f = -g. Calculate the least common multiple of f and ((-4)/(-10))/((-2)/(-10)).
6
Let d(a) = a**2 - 4*a - 2. Let j be d(5). Suppose -j*v + 4*v + 3 = 0, -16 = -4*w - 4*v. Calculate the lowest common multiple of w and 4.
28
Let c = 1/1532 + -12641/3064. Let i(u) = -u**2 + u + 20. Let j be i(0). Suppose -21 = -x + j. Find the common denominator of c and x.
8
What is the lowest common multiple of 750/60*(-42)/(-5) and 60?
420
Let v = 1828 - 7235/4. Suppose -44916 = -0*t - 2*t. Let z = t - 404381/18. Find the common denominator of v and z.
36
Let j be (-1)/(-6) + 65/6. Let k = j + 9. Let d = 6 + -2. What is the least common multiple of k and d?
20
Let f(c) be the second derivative of -c**5/20 - c**4/6 + 2*c**3/3 - 9*c**2/2 - 6*c. Let s = -14 + 10. Calculate the smallest common multiple of 9 and f(s).
63
Suppose 21*i - 129 = -3. What is the smallest common multiple of (2 - 3)*36/(-1) and i?
36
Suppose 0 = 3*c - 6*c + 18. Suppose g - 36 = 33. Let f = g - 60. Calculate the smallest common multiple of c and f.
18
Let n be (16/(-10) + 0)*10. Let t = -64 + 38. Let o = n - t. Calculate the lowest common multiple of 8 and o.
40
Let v = 275/8 + -2049/56. What is the common denominator of (-2)/7 + 5/(-2) and v?
14
Let c = 3025 - 2773. Calculate the least common multiple of c and 336.
1008
Suppose 3*r + 32148 = 4*z, -4*z + 4*r = -9377 - 22767. Let q = -31893/4 + z. Let i = q + -725/12. Calculate the common denominator of i and 64/9.
9
Calculate the common denominator of -61/10 and 386/(-357) + 15 + 1414/(-98).
510
Let d = 108 - 102. What is the lowest common multiple of 12 and d?
12
Let x(q) = -9*q + 27. Suppose -5*n = -50 - 5. Let v be x(n). Calculate the common denominator of 8/v*45/6 and -33/4.
12
Let c = 128/45 - -74/15. Calculate the common denominator of c and -43/197.
1773
Let s = 102909/55 - 1871. Let z = -1651/770 + s. What is the common denominator of z and 63/8?
56
Let i be 8/2 + (-15360)/3825. Let b = 12973/2040 - i. Calculate the common denominator of 81/58 and b.
232
Let y = -7803907/350 + 22297. Find the common denominator of y and -73/150.
1050
Suppose 6*s + 40 - 58 = 0. What is the smallest common multiple of 130 and s?
390
Let j = -46/151 - -22007/69762. Let u = 1889/231 - j. Find the common denominator of 59/3 and u.
6
Find the common denominator of 79/285 and (-10)/(-3)*21/12.
570
Suppose -3*x + 117 = 2*p + 3, -x - 4*p = -48. Calculate the lowest common multiple of 42 and x.
252
Suppose 0 = -6*z + 3 + 3. Let j be (-2 - z) + 3152/6. Let a = j + -517. Find the common denominator of 85/8 and a.
24
Let | {
"pile_set_name": "DM Mathematics"
} |
t m(h) be the third derivative of -h**4/12 + 5*h**2. Give o(m(b)).
-16*b**2
Let l(p) = -p + 3. Let w(f) = -f + 1. Suppose -3*y = 3*h + 30, -14 = 2*y + 5*h + 21. Let c(v) = y*w(v) + 2*l(v). Let a(k) = 2*k**2. What is c(a(b))?
6*b**2 + 1
Let r(v) = 15*v + 6261. Let i(y) = -y**2. Calculate r(i(w)).
-15*w**2 + 6261
Let l(t) = 148*t**2. Let x(h) = -397*h + 397*h + 2*h**2. What is l(x(i))?
592*i**4
Let b(i) = 2*i. Let n(w) be the second derivative of -37*w**3/6 + 164*w - 2. Determine n(b(u)).
-74*u
Let j(v) = -v. Let n(x) be the third derivative of -x**4/4 + 35*x**2 + 1. What is j(n(r))?
6*r
Suppose z = -j + 8, 4*j = -3*z + 4 + 23. Let c(m) = -j*m**2 + 2*m**2 - 1484 + 1484. Let d(i) = -i + 2*i - 3*i. What is d(c(s))?
2*s**2
Let u(p) = 8*p. Let s(y) = 36 - 16 - 19. Let b(h) = -2*h - 3. Let r(t) = -b(t) - 3*s(t). Give u(r(g)).
16*g
Let x(f) = -2*f**2. Let p(m) = -m + 2. Let q be p(11). Let k = q - -11. Let b(v) = 6*v**2 - 8*v**k + 9*v**2. Determine b(x(l)).
28*l**4
Let j(o) = -10*o**2 + 2*o + 55. Let w(f) = 2*f. Give j(w(p)).
-40*p**2 + 4*p + 55
Let b(p) = 9*p. Let m(j) be the first derivative of -j**4/8 - 3*j**2 - 11. Let g(h) be the second derivative of m(h). Give b(g(x)).
-27*x
Let f(m) = 10*m**2 - 9*m. Let j(g) = 17137*g. What is f(j(r))?
2936767690*r**2 - 154233*r
Let z(r) = -1. Let j be (-13 - 4/(-4))*-1. Suppose 2*s + s = -j. Let m(f) = -2*f**2 + 22. Let v(l) = s*m(l) - 88*z(l). Let y(c) = -c. What is y(v(d))?
-8*d**2
Let i(g) = 53*g**2 - g. Let y(b) = 11595*b**2. Calculate i(y(q)).
7125533325*q**4 - 11595*q**2
Let u(n) = n. Let g(l) = l + l + l + 0. Let j = -69 + 65. Let i(x) = j*u(x) + 2*g(x). Let h(v) = -3*v**2. Determine h(i(m)).
-12*m**2
Let d(k) = -k - 24. Let h(i) = -8. Let u(s) = -d(s) + 3*h(s). Let c(o) = 2*o + 6*o + 0*o. What is c(u(b))?
8*b
Let t(l) = 42*l. Let f(d) = -8674*d. Give f(t(m)).
-364308*m
Let x(w) = 5*w**2. Let t(j) = 1024 - 3*j**2 + 2*j - 1024 + 5*j**2. What is x(t(z))?
20*z**4 + 40*z**3 + 20*z**2
Let v(u) = -9 + 0 - u**2 + 9. Let d(n) = 74*n**2. Give v(d(z)).
-5476*z**4
Let m(f) = -2*f + 314. Let p(l) = -63*l. Give p(m(o)).
126*o - 19782
Let y(b) be the first derivative of -5*b**4/12 - 15*b + 22. Let i(a) be the first derivative of y(a). Let p(g) = -g. What is p(i(m))?
5*m**2
Let v(u) = 3*u**2. Suppose -16 = 5*y - 6. Let q(c) = 154*c - 35. Let o(t) = 9*t - 2. Let a(p) = y*q(p) + 35*o(p). Determine v(a(b)).
147*b**2
Let z(c) = 26*c**2 - 246. Let u(t) = 22*t**2. Determine z(u(s)).
12584*s**4 - 246
Let r(n) be the second derivative of -43*n**4/3 - 160*n. Let h(l) = -2*l. Calculate r(h(q)).
-688*q**2
Let z(n) be the first derivative of 9*n**2 + 6*n + 14. Let f(p) = 18*p + 5. Let j(k) = 6*f(k) - 5*z(k). Let a(d) = -d. Calculate a(j(h)).
-18*h
Let p(q) be the first derivative of 0*q - 21 + 0*q**2 + 5/3*q**3. Let c(b) = -2*b**2. Calculate c(p(s)).
-50*s**4
Let k(x) = -x**2. Let s(y) = 19291*y. What is k(s(m))?
-372142681*m**2
Let q(g) = -10*g**2. Let m(s) be the third derivative of -s**7/2520 - s**5/6 - 7*s**2. Let c(d) be the third derivative of m(d). Determine c(q(a)).
20*a**2
Let r be 45/6*(-4)/(-3). Let u(o) = -20*o + 11*o + r*o. Let q(v) = -19*v**2. Calculate u(q(m)).
-19*m**2
Let p(j) = -7 - 6*j - 33 + 40. Let t(q) = -3*q - 2. Let h(g) = 30*g + 21. Let m(x) = 2*h(x) + 21*t(x). Calculate m(p(v)).
18*v
Let f(v) = -66936*v. Let i(j) = 3*j. Calculate f(i(n)).
-200808*n
Let q be 1 + 0/(1 + 0). Let r(y) = q - y - 1. Let j(i) = -151*i + 151*i - 7*i**2. Determine j(r(a)).
-7*a**2
Let i(w) = w**2. Let n be -1 + 4 + -2 + 5. Let p(o) = -2*o + 7*o - n*o. What is i(p(x))?
x**2
Let n(s) = 3*s + 11. Let d(w) = -31864*w. Give n(d(m)).
-95592*m + 11
Let w(b) = 492*b. Let t(y) = 143*y. Determine t(w(u)).
70356*u
Let s(o) = 755*o. Let p(m) = -170*m + 2. What is s(p(h))?
-128350*h + 1510
Let x(b) be the second derivative of 0 - 11/12*b**4 + 0*b**3 - 43*b + 0*b**2. Let p(r) = -6*r. Determine p(x(q)).
66*q**2
Let r(v) = 111*v**2. Let y(b) = -24*b - 1. Determine y(r(p)).
-2664*p**2 - 1
Let m(x) = -14*x. Let p(a) = 26138*a + 2. What is m(p(k))?
-365932*k - 28
Let b(r) = -6*r**2 - r**2 + 14*r**2 + 18 - 18. Let q(z) = -21*z**2. Calculate b(q(w)).
3087*w**4
Let t(q) = 297*q**2. Let w(g) = -80 + 2*g**2 - 4*g**2 + 161 - 81. Give t(w(o)).
1188*o**4
Let q = -493 + 493. Let n(c) be the first derivative of -6 - 1/3*c**3 + q*c**2 + 0*c. Let g(l) = -l**2. What is n(g(u))?
-u**4
Let y(i) = 2*i. Let m(h) = 53205*h**2. Calculate m(y(j)).
212820*j**2
Let i(s) be the second derivative of -253*s**3/6 + 50*s. Let l(o) = -2*o**2. What is i(l(p))?
506*p**2
Let x(t) = 2*t**2. Let k(c) = 16*c**2 - 4*c. Let s(i) = -73*i**2 + 27*i - 16*i**2 - 22*i**2. Let l(o) = -27*k(o) - 4*s(o). Give x(l(p)).
288*p**4
Let r(h) be the second derivative of 16*h - 1/6*h**4 + 0 + 0*h**3 + 0*h**2. Let w(j) = j**2. Give r(w(n)).
-2*n**4
Let k(h) = 14*h. Suppose 3*d + 2*d = 25. Let v(r) = -6*r. Let g(y) = -1. Let a(x) = -x - 4. Let s(z) = -a(z) + 4*g(z). Let q(w) = d*s(w) + v(w). Give q(k(n)).
-14*n
Suppose -2*s = 2*t - t, 0 = -5*s + 3*t + 22. Suppose 0*l - 4*l = -8. Let r(c) = -c**2 - s*c**l - 5*c**2. Let p(i) = i**2. Give p(r(m)).
64*m**4
Let w(k) be the second derivative of k**4/6 - 18*k + 7. Let n(g) = 2*g**2 + 77*g. Calculate n(w(b)).
8*b**4 + 154*b**2
Let t = 16 - 14. Let j(p) = p - p**2 - p - p**t. Let r(g) = -4*g. What is j(r(v))?
-32*v**2
Let y(u) = 2*u. Let g(t) = -8*t. Let p(i) = -2*g(i) - 9*y(i). Let o(d) = -68*d**2. Calculate o(p(r)).
-272*r**2
Let b(s) be the third derivative of s**5/60 - 11*s**3/3 + 3*s**2. Let v(u) be the first derivative of b(u). Let i(l) = 14*l. Give v(i(n)).
28*n
Let l(w) = -6*w**2. Let q(r) = -71*r - 7 + 7 + 55*r. Determine q(l(f)).
96*f**2
Let v(m) = 24*m. Let s(w) = 70167*w**2. Give v(s(t)).
1684008*t**2
Let f(b) be the third derivative of 49*b**5/12 + 45*b**2 + b. Let h(k) = 2*k**2. What is h(f(l))?
120050*l**4
Let r(s) = 8*s**2. Let j(v) = -6*v**2 + 2*v + 4. Let p(c) = -2*c**2 + c + 2. Let y(o) = j(o) - 2*p(o). What is r(y(n))?
32*n**4
Let y(a) = -353*a**2. Let l(o) = -54*o. Give y(l(z)).
-1029348*z**2
Let r(n) = -17711*n. Let w(x) = -16*x**2. Determine r(w(c)).
283376*c**2
Let p(a) be the first derivative of -4*a**2 + 3. Let i(w) = 3. Let t(r) = -r + 6. Let l(x) = -2*i(x) + t(x). Determine l(p(z)).
8*z
Let z(k) be the second derivative of k**3/2 + k. Let f(t) = 0*t**2 - 9*t**2 - 21*t + 21*t. Calculate z(f(q)).
-27*q**2
Let c(t) = 5*t - 11. Let q(i) = -2*i + 4. Let m(d) = 4*c(d) + 11*q(d). Let h(k) = -54*k**2. Calculate m(h(f)).
108*f**2
Let o(c) = 3*c**2. Let d(v) be the third derivative of -17*v**4/24 - 783*v**2. What is d(o(n))?
-51*n**2
Let b(q) = -q. Let u(c) be the first derivative of 1/2*c**2 + 0*c - 9. Give b(u(n)).
-n
Let r(t) = -28516*t. Let u(f) = 51*f + 1. What is r(u(y))?
-1454316*y - 28516
Suppose -4*r = -3*p - 51, 3 = 2*r - p - 20. Let w = r + -7. Let u(m) = m**w - 3*m**2 + 0*m**2 + 3*m**2. Let a(f) = f. What is u(a(k))?
k**2
Let d(v) be the third derivative of v**5/30 + 4*v**2 + 8. Let g(w) = -3*w - 38. Determine d(g(y)).
18*y**2 + 456*y + 2888
Let m(c) be the third derivative of -c**7/420 + 13*c**4/24 + 30*c**2. Let s(t) be the second derivative of m(t). Let l(h) = -9*h. Calculate l(s(b)).
54*b**2
Let f(w) = 5*w**2 + 2. Let p(d) = -17*d**2 - 7. Let m(k) = -7*f(k) - 2*p(k). Let x be (-27)/(-21) - (-4)/(-14). Let r(j) = 1 - x + 2*j - 5*j. Determine m(r(t)).
-9*t**2
Let k(j) be the second derivative of -j**5/60 + 3*j**2/2 - 9*j. Let t(w) be the first derivative of k(w). Let z(l) = 4*l - 2*l + 0*l. Give z(t(h)).
-2*h**2
Let j(d) = -2*d - 25. Let v(t) = -1169*t - 1. Determine v(j(s)).
2338*s + 29224
Let v(y) = 2*y + 2. Let z(n) = n + 2. Let c(a) = v(a) - z(a). Let o(u) be the first derivative of 8*u**3/3 + 2. Give c(o(r)).
8*r**2
Let f(l) = 9875*l + 1. Let g(d) = -15*d. Calculate g(f(v)).
-148125*v - 15
Let o(n) = n**2. Let q(v) be the third derivative of -15*v**2 + 0*v**3 + 0*v**4 + 1/15*v**5 + 0*v + 0. Determine o(q(r)).
16*r**4
Let y(o) be the third derivative of -o**5/60 + 219*o**2. Let h(t) = 4*t + 11. Determine y(h(s)).
-16*s**2 - 88*s - 121
Let j(t) = -2*t**2 - 8*t - 4. Let y(r) = r**2 + 6*r + 3. Let u(b) = 3*j(b) + 4*y(b). Let x(c) = -2*c**2 + 57. What is x(u(d))?
-8*d**4 + 57
Let m(o) = 2*o. Let n(r) = -5021739*r**2. What i | {
"pile_set_name": "DM Mathematics"
} |
se -v = -5*j - 3*v + 10, 4*j - 4*v - g = 0. Solve 16 = s*h + j for h.
4
Let p = 92 + -86. Suppose 0 = -2*b + 4*b - p. Suppose 2*y + 3*x - 12 = 0, y = -b*y + 2*x + 8. Solve -2*h + 3*h = y for h.
3
Suppose -3*z = v - 20, -20*z = 2*v - 22*z + 8. Solve 222*g + v = 224*g for g.
1
Let z(j) = -5*j - 68. Let s be z(-12). Let t(o) = -2*o - 14. Let p be t(s). Let i be 16*4/8 - 2. Solve 2*l - i = p for l.
4
Let b be 5/(-4) - 9/(-108)*159. Solve -2*g = -b + 10 for g.
1
Let y be (-4)/5 + 17/(765/621). Solve 24 = -21*p + y*p for p.
-3
Let f = -10 + 28. Let r be f/72 + 23/4. Suppose -x - 3*t = -19, 0 = x - 2*x - 5*t + 29. Solve 2*h - x*h = r for h.
-3
Suppose 2*i - 3*i + 5*u = 0, -5*i - 42 = -4*u. Let d be 100/15*12/i. Let q be 6 - d/12*-3. Solve -q*t = -9*t for t.
0
Suppose 3*w = 1497 - 468. Let n = 350 - w. Solve -3*l - n = 2 for l.
-3
Let s(b) = 6*b + 6. Let d be s(11). Let j be (24/48)/(2/d*2). Let y = 545 + -540. Solve 0 = -y*x + j + 6 for x.
3
Suppose -112*k + 28*k + 4704 = 0. Solve 0 = k*d - 48*d - 24 for d.
3
Suppose 45*p - 94 = -36 + 77. Solve p*g - 42 + 36 = 0 for g.
2
Let k(c) = 3*c**3 + c**2 + 1. Let f(n) = 5*n**3 - 5*n**2 - 12*n - 14. Let y(z) = -f(z) + 2*k(z). Let p be y(-4). Solve 5*h - 55 = p*h for h.
-5
Suppose 0 = -2*v + g + 54, -g - 54 = -2*v + 4*g. Suppose 31*p - 20 = v*p. Suppose -2*j + 7 = p. Solve 3 - j = 2*n for n.
1
Let n(x) = -4*x + 6 - 5*x**2 - 6 - 2*x**3 + 0*x. Let t be n(-2). Let w = 730 + -714. Solve -w + 0 = t*g for g.
-4
Let x(p) = -p**3 - 20*p**2 + 23*p + 47. Let s be x(-21). Suppose 13 = 5*k + s*j - 17, 4*k + j - 24 = 0. Solve k*o - 16 = 10*o for o.
-4
Suppose -3*n = -6, -81*q - 4*n - 52 = -85*q. Solve 152 = q*x - 53*x for x.
-4
Suppose -g = -8*h + 88, -44*g + 49*g = 0. Solve h = 7*p + 53 for p.
-6
Let m(d) = -8*d - 16. Let c be m(-3). Suppose 7*l = -c - 55. Let h be ((-7)/((-70)/(-15)))/(l/24). Solve 5 = 3*u - h for u.
3
Let y be 52 + 6 + -10 - 0/1. Suppose 2*l + 4*w = y, 9*l = 14*l + w - 147. Solve 4*q + l = 10 for q.
-5
Let l(j) = -j**3 + 65*j**2 + 207*j - 157. Let n be l(68). Solve 46*c - 6 = n*c for c.
-6
Let j = -90 - -89. Let q(r) = 13*r + 14. Let g be q(j). Solve 4*y - 3 = g for y.
1
Let t be 1621/35 - (-33)/(-55) - (-2)/7. Solve 25*p = t + 79 for p.
5
Let u(n) = n**3 + 8*n**2 + 263*n + 1243. Let t be u(-5). Let g be 2/(-6) + 20/(-3). Let s = 17 + g. Solve 2 = t*i - s for i.
4
Let w = 5628 + -5593. Let t = 10 + 5. Solve -w = -5*g - t for g.
4
Suppose -3*m = 5*a - 156, -12 = -7*m + 11*m. Suppose 105 - a = 8*p. Solve p*t - 5*t + 20 = 0 for t.
-5
Let l(a) = -a**3 + 9*a**2 - 5*a - 21. Let u be 1 + (7 - (-4 + (-20)/(-5))). Let n be l(u). Solve 11 = 4*x + n for x.
2
Let u = 7 - -4. Let i(j) = -630 + 635 + j**3 + 3*j**2 - 14*j**2 + j - j. Let t be i(u). Solve -11 = t*o + 9 for o.
-4
Let l(r) = 3*r**2 + 111*r + 3. Let m be l(-37). Suppose 4*s - 2*a - 20 = 0, 5*a + 11 = s - m. Solve s*y + 0 + 12 = 0 for y.
-3
Let v(d) = 17*d**2 + 9*d - 8. Let r be v(1). Let g(t) = 3*t - 3. Let s be g(2). Let y = r - s. Solve -y = -4*n + 5 for n.
5
Let g be (116/3)/((-1771)/207 - -9). Solve 175 = 11*r + g for r.
8
Let u(w) = -1390*w + 4170. Let b be u(3). Solve 57*t - 290 - 52 = b for t.
6
Let n be (536/24)/((-1)/(-3)). Let s = -67 + n. Solve 7*v - 10*v - 9 = s for v.
-3
Let x be (61/(-4))/((-429)/(-52) + -8). Let q = 86 + x. Solve 4*t + q = 13 for t.
-3
Suppose 24 = 2*k + k - 0*k. Solve -1570*b - k = -1562*b for b.
-1
Let u = -14203 - -14211. Solve 11088*s - 11089*s + u = 0 for s.
8
Suppose -84 = -5*u - 298*r + 301*r, -106 = -6*u + r. Solve -94*k + 100*k = -u for k.
-3
Let z = -46 - -51. Let j(p) = -z*p**2 + 0*p**2 + 29 - 36 - 12*p + 3*p**2. Let y be j(-5). Solve u - y*u = 2 for u.
-1
Let u = -68 - -70. Suppose 3*c - 4*h - 47 = 0, -u*c + 3*h + 19 + 14 = 0. Solve -3 = -3*g + c for g.
4
Let c be 3 + 0 + (-42 - 21). Let v = 114 + c. Suppose 2*s + 50 = v. Solve -2*w + s + 4 = 0 for w.
3
Let a be 189/8 - 30/(-80). Suppose 0*t - t - 4*y = 8, -4*t + a = 2*y. Solve g = -t + 10 for g.
2
Let m(a) = a**2 - 33*a + 35. Let b be m(32). Let g(t) = -13*t + 52. Let o be g(b). Solve 0 = -o*k + 11*k + 6 for k.
3
Let z = -4959 + 4967. Solve -19*o + 30 = -z for o.
2
Let h = -738 - -509. Let k = h - -237. Solve -k*f = -7*f for f.
0
Suppose -24*f - 1003 + 1435 = 0. Solve -8*q - f*q = 78 for q.
-3
Let a = -56 + 62. Let v(k) = 7*k - 7. Let g be v(a). Let m = 39 - g. Solve u = -u - m for u.
-2
Let z be 2 - 1/1*-1. Let k = -187 + 216. Let w = k + -14. Solve w = 2*x + z*x for x.
3
Let q(p) = 4*p - 19. Let x be q(6). Suppose -75 = -5*r + x*l, 2*r + 3*r = -5*l + 35. Let y be (-12 + r)/(1/(-2)). Solve -y*h + 0*h = -2 for h.
1
Suppose m + 10 = 2*u, -m - 6 = -15*u + 14*u. Solve -5*h = -u*h for h.
0
Let x be 1 + (12/(-4) - -1). Let o be x + 18/22 + (-4)/(-22). Suppose o = i - 5*r - 10 - 9, 0 = -i - 3*r + 3. Solve 0 = i*l - 5*l + 16 for l.
-4
Let u(p) = -27 + 3 + 29*p - 36 - 35*p. Let k be u(-10). Solve k = -2*j - 0 + 8 for j.
4
Let j = 6096 + -6008. Solve j - 84 = -4*z for z.
-1
Let l = -21 + -20. Suppose 0 = 5*k - 5, -2*q + 54 = -3*k - 35. Let t = l + q. Solve t*h - 4 = 1 for h.
1
Let t be (-150)/(4 - (-15 + 22)). Solve -t = -7*j - 1 for j.
7
Let x(i) be the second derivative of -i**4/6 + 2*i**3/3 - 15*i. Let z be x(3). Let q be (33/z + 3)*-4. Solve 0 = -5*a - 10 - q for a.
-4
Let n(q) = -q**3 - 12*q**2 + 29*q - 197. Let y be n(-15). Solve 14*g + y + 13 = 0 for g.
-4
Let k(x) = -38*x - 226. Let r be k(-6). Solve -35*z + 37*z + r = 0 for z.
-1
Let a = 15823 + -15817. Suppose -f + 2*l = -5, 2*f - 9 = -5*l + 1. Let w = f + -3. Solve y + a = -w*y for y.
-2
Suppose -103*b = 3*q - 99*b - 948, -5*q = 2*b - 1566. Solve -28 = -q*r + 308*r for r.
7
Let p = 202 + -198. Suppose 13 = 2*u + 2*g - 7, 0 = -3*u + p*g + 58. Solve 9*n = -4 - u for n.
-2
Let f(w) = -w**2 + 74*w - 1272. Let y be f(44). Solve 90 = -30*l + y*l for l.
5
Let w = -15962 - -16002. Solve -w*x + 77 = -29*x for x.
7
Suppose -w + 4*i + 50 = 0, 0 = -w - 5*i + 35 + 42. Solve -w*v + 86*v - 144 = 0 for v.
6
Let n be 16 - (1 + 12/(-3)). Suppose -5*g = -16 - n. Let z(v) = -v**3 + 3*v**2 + 5*v - 7. Let k be z(3). Solve 0 = -k*q + g*q + 3 for q.
3
Let g(b) = 3*b**3 - 7*b**2 - b + 7. Let v be g(3). Suppose -v*c + 27*c = 20. Solve -32 = c*i - 44 for i.
3
Suppose 12 = 8*y - 76. Suppose 3*l - y*l = -40. Solve 6 = -8*c + l*c for c.
-2
Let f(y) = 5*y**2 - 10*y + 3. Let m be f(2). Suppose -m*d = 12 - 18. Solve 0 = d*p - 10 - 0 for p.
5
Suppose -21*m = -24*m - 3*c + 81, -135 = -5*m + 5*c. Solve 45*t = m*t - 72 for t.
-4
Let o = -621 + 178. Let r = o + 443. Solve v = -r*v for v.
0
Let u be ((0 + 1)*(7 + 2))/1. Suppose u*p + 1 = 19. Solve 0 = p*l - 3*l - 4 for l.
-4
Let c be (9/30)/((-9)/(-15))*34. Suppose -7*w + 9*w = -4*y + 16, -y + 5*w = -15. Solve -3*q - c = -y for q.
-4
Suppose 0 = -5*i + 49 + 36. Suppose -33 = -i*m + 52. Solve 0 = m*h - 9*h + 20 for h.
5
Let s be (6 - 201/(-4) - 1/4) + -2. Solve -118 + s = -32*w for w.
2
Suppose 28 = -5*i + 43. Let m(p) = -80*p**3 - 3 - 79*p**3 + p**2 + 160*p**3 - 8*p. Let o be m(i). Solve 2*r + o = -1 for r.
-5
Let n(p) = 2*p**3 - 31*p**2 + 9*p - 388. Let i be n(16). Let t = -35 - -41. Solve -18 = i*h - t for h.
-1
Suppose -3*j - 5*n = 1, -19*n + 1 = 3*j - 15*n. Solve 16*h = 17*h - j for h.
3
Let t be ((-69)/12)/(6 - (-138)/(-24)). Let o(z) = z + 27. Let b be o(t). Solve 1 = -s - b for s.
-5
Suppose 12 = 4*q, -2*t = -5*t - 3*q + 21. Suppose -6*d - 9 = -3. Let x be d + 4/(-1) + 11. Solve t*h - 22 = -x for h.
4
Suppose -p - 625 = -3*v, -5*p + 673 = 5*v - 382. Solve 0 = 184*f - v*f - 50 for f.
-2
Let f = -12 + 14. Suppose -f*a + 5*a = 0. Let t(p) = 3*p - 60. Let d be t(20). Solve i + a + 1 = d for i.
-1
Suppose 1016*p = 1009*p + 14. Suppose -3*f = 5*w + 2*f - 20, p*f = 6. Solve -4 = 5*y + w for y.
-1
Let u(o) = -61*o + 122. Let r be u(2). Solve r = 160*h - 156*h - 8 for h.
2
Let r = -246 - -248. Suppose -152 + 172 = r*z. Solve -2*n - 3*n = z for n.
-2
Suppose -3*y + 127 = 4*o, 550*y - 201 = 545*y + 4*o. Solve -y*l = -20*l + 126 for l.
-6
Suppose -12*a = -25*a - 34 + 164. Solve -a*u + 6 = 26 for u.
-2
Let s = -130 - -134. Suppose s*c = 4 + 56. Suppose -c = -3*i + 30. Solve -4*z = -z + i for z.
-5
Suppose 105 = 5*f + 5*w, 85 = 2*f + 2*f + 3*w. Let j be (-1)/((-64)/f - -3). Let b(q) = q**2 + 10*q + 2 | {
"pile_set_name": "DM Mathematics"
} |
w*a + 0*a - 2*a. Calculate o(d).
0
Let v be (4 - 9) + 6 + 17. Let d be v/27*18/(-4). Let o(i) = -i**3 - 3*i**2 - 2*i - 2. Give o(d).
4
Let t be 1/6 + 5/(-30). Let u(c) = c**3 - 4*c**2 + 4*c - 3. Let i(s) = -s**2 + s - 1. Let y(d) = 5*i(d) - u(d). Determine y(t).
-2
Let m be (7 + -2)*(-1 - 0). Let l(v) = 3*v**3 - 2*v + 1. Let a be l(1). Let w(j) = j - 2*j - a + 0*j + 2*j. What is w(m)?
-7
Let v(u) be the second derivative of u**4/12 - u**3 - 5*u**2 + u. Suppose 2*w + 4*o - 15 = -3, -2*o = -4*w + 24. Let k be 418/66 - (-4)/w. Determine v(k).
-3
Let q = 4 + -4. Let b be 3 + 2 + (q - 7). Let k(w) be the third derivative of w**4/24 - w**2. Calculate k(b).
-2
Let x(u) = u + 15. Let a(f) = 2*f + 29. Let w(y) = 3*a(y) - 5*x(y). Determine w(-6).
6
Let l(p) = -p**3 - 6*p**2 - 3*p + 5. Suppose -8*k + 7*k + v - 9 = 0, -2*v = k - 6. Determine l(k).
-15
Let a(y) = 11*y + 1. Let m be ((-75)/(-7))/1 + 14/49. Let u(h) = -56*h - 5. Let q(z) = m*a(z) + 2*u(z). Calculate q(-1).
-8
Let r(p) be the first derivative of -1/2*p**4 + 0*p**3 + 0*p + 0*p**2 + 9. What is r(-1)?
2
Let v = 541 + -542. Let i(z) = -6*z - 2. Calculate i(v).
4
Let d(w) = -w**3 + 4*w**2 - 8*w + 6. Suppose -5*z = t - 8 - 4, -6 = -3*z. What is d(t)?
-2
Let j(y) = -y**2 + y + 3. Suppose 12 - 3 = 3*g. Suppose v + 4*h - 23 = 0, -g*v - h = -5 - 9. Determine j(v).
-3
Let p(l) = -l**3 - 3*l**2 + 3*l - 2. Suppose -3 = -12*g + 11*g. Suppose g*n + 65 = -2*n. Let z = n - -10. Determine p(z).
-11
Let s(d) = -5*d**2 + 23*d + 5. Let g(f) = -2*f**2 + 11*f + 3. Let c = 18 - 11. Let n(l) = c*g(l) - 3*s(l). Determine n(-7).
-1
Let w(g) = g**2 + 5*g + 1. Let p = 30 - 20. Suppose 2*b - 4*b = p. Calculate w(b).
1
Let m(t) = -t + 7. Let j be m(7). Let y(c) = 1 - 4 + c + 1 + j. Give y(0).
-2
Let p(r) = -r**2 + 3*r + 1. Suppose -2*q = -4 + 2. Let m(l) = 1. Let k(w) = q*p(w) - 3*m(w). Give k(2).
0
Suppose 0 = 3*g - 0*g - 4*z - 28, -g + 16 = -3*z. Let n(i) be the second derivative of -g*i**2 + 1/6*i**3 - 3*i + 0. Give n(0).
-8
Let k(o) = 12*o**3 - 2*o**2 + 1. Let x(i) = -7*i - 372. Let n be x(-53). Calculate k(n).
-13
Let s(n) be the third derivative of n**6/20 - n**3/6 - 38*n**2. Give s(1).
5
Let s(z) be the first derivative of -z**3/3 + 2*z**2 + 6*z - 9. Let x(a) = 2*a - 7. Let t be x(6). Suppose 20 = -u + t*u. What is s(u)?
1
Let b(m) = -m**2 - 11*m + 15. Let o be b(-12). Let a(d) = -3*d**2 + 6 - o + 2*d + 2*d**2 + 3*d. What is a(5)?
3
Let h(l) = 353*l + 53 - 186*l - 170*l. Give h(20).
-7
Let q(i) be the second derivative of -4*i**3/3 - 5*i. Let a be (3 - 0) + 0 - -6. Let x = 7 - a. Determine q(x).
16
Let v(c) = 370*c - c**2 - 724*c + 368*c - 15. Determine v(12).
9
Suppose -10 = -4*w - 6, -7*w = 3*y + 8. Let c(g) = 5 + 1 - g - 7. Determine c(y).
4
Let m(x) = -x**3 + 6*x**2 - 2. Suppose 2*h - 22 = 2*q, -2*h + 6*q + 28 = 2*q. Suppose -z - h + 14 = 0. What is m(z)?
-2
Let b(u) = u**3 + u**2 + u + 1. Suppose -5*p - 4*c + 80 = -32, 5*p - 2*c - 94 = 0. Suppose p = -i + 6*i. Let g(v) = -v + 3. Let t be g(i). Determine b(t).
0
Let u(r) = -r - 9*r**2 + 0 + r**2 - 4 + 5. Suppose 5*x - 2*x = 15. Suppose 3*g = -3*t - 9, -3*g + 0*g + x*t + 23 = 0. Calculate u(g).
-8
Let z(o) = 20*o - 2. Suppose -42*k = -2*k - 40. Give z(k).
18
Suppose -5*l + 3*a - 28 = -48, -2*l + 8 = -4*a. Let d(b) = -b**2 + 8*b - 4. What is d(l)?
12
Let o = -18 - -22. Suppose 20 = -v - 3*v, -5*w + o*v = 0. Let p(g) = g**3 + 5*g**2 + 3*g - 5. Calculate p(w).
-1
Let u be (-36)/(-6)*(-2)/3. Let x(b) = -b**2 - b - 1. Determine x(u).
-13
Let q(z) = z**3 - 15*z**2 + z - 20. Let f = 2563 - 2548. What is q(f)?
-5
Let b(h) be the second derivative of h**5/20 - h**4/4 - h**2 - 52*h. Give b(4).
14
Let y(v) = -13*v + 12. Let f(b) = 25*b - 22. Let z(j) = 4*f(j) + 7*y(j). Determine z(-3).
-31
Suppose -46*z + 65*z - 19 = 0. Let p(v) = 6*v - 2. Give p(z).
4
Let s(l) = -l**3 - 2*l**2 + 3*l + 3. Suppose 4*y - 3*o - 2*o - 17 = 0, -3*y + 2*o = -11. Suppose -2*k = -y*p - 0 - 6, 0 = k. Calculate s(p).
-3
Let n = 19 + -13. Let p be n/2 + 0 + -55. Let s be 2/(-7) + p/14. Let a(g) = -g**3 - 3*g**2 + 4*g. Calculate a(s).
0
Let v(k) = -2*k - 7. Let p be ((-14)/(-77))/1 + 46/(-11). Give v(p).
1
Let u(i) be the second derivative of -5*i**3/2 + 2*i**2 - 3*i + 25. Give u(3).
-41
Let p = -343 + 343. Let m(a) = -a - 17. Determine m(p).
-17
Let f(a) = -5*a - 3. Let m(v) = v**3 - v + 33. Let p be m(0). Let j = -28 + p. Determine f(j).
-28
Suppose -3*n + f = -8, 3*n - 3*f - 4 = 2. Let z(l) = l + 75 - 72 + 2*l**n - 5*l. Calculate z(2).
11
Let g = -396 - -390. Let t(a) = a**3 + 8*a**2 + 12*a - 6. Give t(g).
-6
Let v(z) = -z + 1. Let y = -25 + 25. Suppose y*k = k + 1. What is v(k)?
2
Let s = 998 + -1016. Let x(t) = -t**3 - 17*t**2 + 16*t - 38. What is x(s)?
-2
Let k(g) = -1 + 8*g**2 + 2*g**3 - 8*g**2 - 4*g**2 + 3*g. Let x = 18 - 22. Let v = -2 - x. Calculate k(v).
5
Let v(c) = -4 - 3*c - 5 + 11. Let u(k) = k**2 + 7*k + 1. Let j be u(-7). Suppose 4*x + 5*t - 2 = j, x + 4*t + 2 = 0. Give v(x).
-4
Suppose 0 = 3*m - 5*y + 31, y - 152 = 4*m - 122. Let v(k) = -k + 4. Determine v(m).
11
Let m(f) be the second derivative of -2/3*f**4 + 0*f**3 - 1/360*f**6 + 0*f**2 + 1/40*f**5 + 7*f + 0. Let j(k) be the third derivative of m(k). Calculate j(3).
-3
Let f be (2/(-8))/((-2)/24*3). Let x(p) = 17*p**3 - p + 1. What is x(f)?
17
Let d(p) = -p**3 - 12*p**2 - 15*p - 8. Let q = 443 + -454. Determine d(q).
36
Let a(m) = -m**3 - 3*m**2 - 2*m. Let u be -1 - (0 + (2 - 4)). Suppose d + 3*i = 5, -7 - u = 5*d + 4*i. Determine a(d).
24
Let x(d) = -d**2 - d - 1. Let k(q) = -q**3 + 10*q**2 + 7*q + 2. Let b(s) = -k(s) - 5*x(s). Let v = 1084 - 1079. What is b(v)?
-7
Let k(b) = 22*b - 1. Let o(i) = 133*i - 11. Let c(n) = 6*k(n) - o(n). Let u be (-1 + 2)/((-2)/12). Give c(u).
11
Suppose a + 2*a + 1 = -z, -4*z + 7 = a. Suppose -1 = -3*i - z*y + 1, 4*i = -2*y. Let p(n) = 2*n**3 - n**2 - 2*n + 1. Calculate p(i).
-15
Let n(g) = 12*g + 2. Let q = 93 - 95. Determine n(q).
-22
Let s(j) = -7*j - 2. Suppose -10 = 22*w - 24*w. Let k(u) = u. Let f(q) = w*k(q) + s(q). What is f(-2)?
2
Let g(l) = 8*l - 1. Let b be 15/(-75) - 21/(-5). Suppose m - 5 = -b*m. What is g(m)?
7
Let s(o) be the third derivative of -o**4/24 - 7*o**3/6 - 22*o**2. What is s(-6)?
-1
Suppose -2*p + 8 = 2. Suppose j = -p*j. Suppose m + 7 = -j*m. Let q(y) = -y**3 - 7*y**2 - 4. Determine q(m).
-4
Let b(x) = x**3 + 2*x**2 + 4*x + 3. Suppose -13*n = -8*n - 10. Suppose -n*f = 9 - 5. Give b(f).
-5
Let q(a) be the third derivative of -a**4/8 - 11*a**3/6 - 18*a**2 + a. What is q(-6)?
7
Let c be (6/4)/((-18)/(-24)). Let y(n) = 16*n + n**c - 16*n + 2. Determine y(0).
2
Let u(m) = 3*m**2 - 3*m**2 - m**2 + 0*m**2 - 17*m - 902 + 892. Determine u(-10).
60
Let l be 2/((-25)/10 - -3). Suppose 3*n - 17 = 3*f - 2*f, -l*f = -4. Let h(i) = -i**2 + 8*i. Give h(n).
12
Let o(i) = -62*i**2 - i + 5 + 5 + 64*i**2 - 11. What is o(5)?
44
Let w be (18/(-8))/(108/(-288)). Let v(k) = 2*k - 14. Determine v(w).
-2
Let y be (-1)/2*(4 + -5)*-8. Let o(z) = -3*z**3 + z**2 - 8*z + 1. Let s(c) = -4*c**3 - 9*c + 1. Let q(a) = y*s(a) + 5*o(a). Determine q(-6).
-11
Let k(u) be the first derivative of 7*u**2/2 + 2*u + 117. Determine k(-3).
-19
Suppose 0 = -y - 4, 0 = -6*u + 5*u + 5*y + 17. Let s be (-4)/8 + u/(-2). Let o(v) = 2*v**2 + v - v - s. Calculate o(1).
1
Let u = -58 - -65. Suppose -5 = -8*a + u*a. Let v(g) = g**3 - 6*g**2 + g + 7. Determine v(a).
-13
Suppose 190 = -3*i - 4*t, i = -0*t - t - 62. Let z = i - -63. Let b(h) = h + 7. Give b(z).
12
Let p(g) = -4*g**2 - 5*g + 6. Let k(r) = -r**2 - 4*r - 1. Let q(m) = k(m) - p(m). Give q(2).
7
Let u(t) = -5*t**3 - 2*t - 1. Let f be 1/(2/2) + (17 - -1). Suppose f*k - 16*k = -3. Determine u(k).
6
Let t(p) = p**3 - 4*p**2 - 4. Suppose 2*l - 3 - 5 = 0. Suppose -3*m + 7 = 2*g, 3*g - 1 = -l. What is t(m)?
-13
Let z(f) = 4249*f - 8481*f + 4244*f - 2. What is z(-4)?
-50
Let n(t) = -245 - 12*t + 242 + 8*t. Determine n(-1).
1
Let s(o) = -o**2 + 32*o + 100. Let g be s(35). Let q = 8 - 4. Let w(k) = 7*k - q*k**2 + 0*k**2 + 5*k**2 + 6. Give w(g).
-4
Let d(r) be the second derivative of 8*r**3/3 - 13*r**2/2 + r + 14. Let w be d(1). Let i(x) = 4*x - 2 + 3 + 2 - x**2. Determine i(w).
6
Suppose -4*v = -3*v - 6. Let f(m) = -m - 2. Let x(s) = s - 4. Let p be x(9). Let a(u) = -u - 2 | {
"pile_set_name": "DM Mathematics"
} |
096218 = 0.
1269
Determine m so that -2*m**2/17 + 240*m/17 - 7200/17 = 0.
60
Suppose 5*l**3 - 90*l**2 + 540*l - 1080 = 0. What is l?
6
Factor -5*o**2/2 + 115*o/6 - 35/3.
-5*(o - 7)*(3*o - 2)/6
Factor 2*s**3/7 + 6*s**2/7.
2*s**2*(s + 3)/7
Determine c, given that 5*c**3 - 80*c**2 + 140*c = 0.
0, 2, 14
Factor 5*j**5 + 20*j**4 - 35*j**3 - 50*j**2.
5*j**2*(j - 2)*(j + 1)*(j + 5)
What is w in -4*w**3 + 764*w**2 - 752*w - 1520 = 0?
-1, 2, 190
Factor 15*c**4/4 - 95*c**3/4 + 15*c**2/2.
5*c**2*(c - 6)*(3*c - 1)/4
Factor 4*k**2 - 180*k + 176.
4*(k - 44)*(k - 1)
Factor -t**2/4 - 221*t/2 - 48841/4.
-(t + 221)**2/4
Factor 39*j**2/2 + 132*j + 216.
3*(j + 4)*(13*j + 36)/2
Determine l so that 4*l**4 + 24*l**3 - 60*l**2 + 32*l = 0.
-8, 0, 1
Find r, given that -125*r**4 + 2900*r**3 - 14495*r**2 - 13020*r - 2700 = 0.
-2/5, 9, 15
Factor 5*g**2 + 2325*g.
5*g*(g + 465)
Factor -8*c**2 - 490*c - 122.
-2*(c + 61)*(4*c + 1)
Factor -2*r**2 + 8*r.
-2*r*(r - 4)
Solve -t**3/3 - t**2/3 + 176*t/3 + 320 = 0.
-8, 15
Determine d so that 4*d**2 - 2260*d - 9104 = 0.
-4, 569
Suppose -v**2/5 + 68*v/5 + 213/5 = 0. Calculate v.
-3, 71
Let -2*r**3/3 - 50*r**2/3 - 308*r/3 = 0. Calculate r.
-14, -11, 0
Factor 3*b**4 - 27*b**3 + 87*b**2 - 117*b + 54.
3*(b - 3)**2*(b - 2)*(b - 1)
Factor -4*t**2 + 110*t - 54.
-2*(t - 27)*(2*t - 1)
Factor -3*n**2 - 3*n + 6.
-3*(n - 1)*(n + 2)
Factor 3*c**3 + 1785*c**2 + 1776*c - 3564.
3*(c - 1)*(c + 2)*(c + 594)
Let 22*h**5 - 40*h**4 - 118*h**3 + 112*h**2 + 24*h = 0. What is h?
-2, -2/11, 0, 1, 3
Factor -4*y**5 - 44*y**4 - 40*y**3 + 424*y**2 - 532*y + 196.
-4*(y - 1)**3*(y + 7)**2
Solve -4*n**5 + 18*n**4 + 106*n**3 + 62*n**2 - 102*n - 80 = 0.
-5/2, -1, 1, 8
Determine b, given that -b**4 + 11*b**3 - 25*b**2 - 39*b + 126 = 0.
-2, 3, 7
Factor 5*p**3 - 6035*p**2 + 1818040*p + 1824080.
5*(p - 604)**2*(p + 1)
Factor 154*k**2 - 292*k - 32.
2*(k - 2)*(77*k + 8)
Find b such that -4*b**3 - 360*b**2 - 1376*b = 0.
-86, -4, 0
Factor -l**4/3 + l**3 + 3*l**2 - 23*l/3 + 4.
-(l - 4)*(l - 1)**2*(l + 3)/3
Suppose -144*d**5 - 84*d**4 + 356*d**3 - 116*d**2 - 20*d + 8 = 0. Calculate d.
-2, -1/4, 1/3, 1
Let 4*o**4 + 160*o**3 - 688*o**2 + 704*o = 0. What is o?
-44, 0, 2
Factor 2*n**2/5 - 176*n/5.
2*n*(n - 88)/5
Solve 38*w**3 + 870*w**2 + 744*w - 88 = 0 for w.
-22, -1, 2/19
Factor -y**2/4 + 3*y/2 + 27/4.
-(y - 9)*(y + 3)/4
Factor -2*w**3/9 - 38*w**2/9 - 100*w/9 - 64/9.
-2*(w + 1)*(w + 2)*(w + 16)/9
Let 980*k**4 + 67165*k**3 + 1089290*k**2 - 2152500*k - 605160 = 0. Calculate k.
-246/7, -1/4, 2
Factor 5*t**3/3 + 770*t**2/3 + 255*t.
5*t*(t + 1)*(t + 153)/3
Find t, given that -t**3/3 + 14*t**2/3 - 13*t/3 = 0.
0, 1, 13
Find i, given that 4*i**5/3 + 32*i**4/3 + 12*i**3 - 152*i**2/3 - 160*i/3 = 0.
-5, -4, -1, 0, 2
Factor -3*o**3 + 30*o**2 - 81*o + 54.
-3*(o - 6)*(o - 3)*(o - 1)
Determine b, given that -4*b**4 - 728*b**3 - 33844*b**2 - 65520*b - 32400 = 0.
-90, -1
Let 6*f**3 - 165*f**2 - 84*f = 0. Calculate f.
-1/2, 0, 28
Find p, given that 5*p**3 + 3590*p**2 + 644405*p = 0.
-359, 0
Determine s, given that 4*s**4/5 + 4*s**3/5 - 32*s**2 - 448*s/5 = 0.
-4, 0, 7
Find o such that 2*o**2/3 - 22*o + 60 = 0.
3, 30
Suppose -5*u**3 - 970*u**2 = 0. What is u?
-194, 0
Factor 44*y**4 - 960*y**3 + 5148*y**2 + 968*y.
4*y*(y - 11)**2*(11*y + 2)
Find k, given that k**5/4 - 27*k**4/2 + 39*k**3 - 77*k**2/2 + 51*k/4 = 0.
0, 1, 51
Solve 4*g**5 - 8*g**4 - 72*g**3 + 272*g**2 - 316*g + 120 = 0.
-5, 1, 2, 3
Let 3*h**3/5 + 27*h**2/5 + 12*h + 36/5 = 0. What is h?
-6, -2, -1
Find y, given that -y**2/3 + 7*y - 38/3 = 0.
2, 19
Determine c so that 2*c**5 - 8*c**4 + 6*c**3 + 8*c**2 - 8*c = 0.
-1, 0, 1, 2
Factor -2*f**3/15 + 58*f**2/15 + 64*f/15 - 8.
-2*(f - 30)*(f - 1)*(f + 2)/15
Suppose 4*y**2 + 2292*y - 2296 = 0. Calculate y.
-574, 1
Factor 3*c**3/4 + 81*c**2/4 + 141*c/4 - 225/4.
3*(c - 1)*(c + 3)*(c + 25)/4
Factor -2*m**4 + 42*m**3 - 286*m**2 + 630*m.
-2*m*(m - 9)*(m - 7)*(m - 5)
Factor 54*f**2/7 - 150*f/7 + 100/7.
2*(3*f - 5)*(9*f - 10)/7
Factor -2*s**3/5 - 436*s**2/5 - 344*s - 1712/5.
-2*(s + 2)**2*(s + 214)/5
Factor -4*d**5 - 4*d**4 + 56*d**3 - 104*d**2 + 76*d - 20.
-4*(d - 1)**4*(d + 5)
Determine y so that -y**4 + 7*y**3 - 6*y**2 - 32*y + 32 = 0.
-2, 1, 4
Factor -3*b**3 + 9*b**2 - 9*b + 3.
-3*(b - 1)**3
Factor 5*p**4 + 1305*p**3 + 113535*p**2 + 3292515*p.
5*p*(p + 87)**3
Solve -a**3 + 78*a**2 - 1785*a + 9800 = 0.
8, 35
What is g in -60*g**3 + 860*g**2 - 255*g - 350 = 0?
-1/2, 5/6, 14
Factor -w**2/5 - 32*w/5 - 112/5.
-(w + 4)*(w + 28)/5
Let 3*p**3 + 33*p**2 + 57*p + 27 = 0. Calculate p.
-9, -1
Factor 3*o**3 + 18*o**2 + 15*o.
3*o*(o + 1)*(o + 5)
Let 3*z**5/8 + 9*z**4/8 - 27*z**3/8 - 81*z**2/8 = 0. Calculate z.
-3, 0, 3
Solve 5*j**2 - 195*j + 540 = 0 for j.
3, 36
Factor s**2/7 - 62*s + 864/7.
(s - 432)*(s - 2)/7
Solve -f**4 - 10*f**3 - 27*f**2 - 2*f + 40 = 0.
-5, -4, -2, 1
Determine l so that -5*l**5 - 10*l**4 + 15*l**3 + 20*l**2 - 20*l = 0.
-2, 0, 1
Solve 5*k**2 + 475*k = 0 for k.
-95, 0
Factor -3*r**5/5 + 6*r**4 - 99*r**3/5 + 24*r**2 - 48*r/5.
-3*r*(r - 4)**2*(r - 1)**2/5
Factor -1458*g**4/7 - 2430*g**3/7 + 918*g**2/7 - 106*g/7 + 4/7.
-2*(g + 2)*(9*g - 1)**3/7
Factor 3*o**3 + 285*o**2 + 7176*o + 19044.
3*(o + 3)*(o + 46)**2
Let 2*s**4/5 + 8*s**3/5 + 6*s**2/5 - 8*s/5 - 8/5 = 0. What is s?
-2, -1, 1
Let -y**4 + 23*y**3/3 - 40*y**2/3 - 16*y/3 = 0. What is y?
-1/3, 0, 4
Factor 3*l**3 + 6*l**2 - 21*l + 12.
3*(l - 1)**2*(l + 4)
Let 2*s**4 + 80*s**3 + 152*s**2 = 0. Calculate s.
-38, -2, 0
Factor -3*j**3/4 + 12*j**2 - 45*j/4.
-3*j*(j - 15)*(j - 1)/4
Factor -2*s**3/9 + 2704*s**2/9 + 5416*s/9.
-2*s*(s - 1354)*(s + 2)/9
Determine s, given that -2*s**5/7 + 934*s**4/7 - 110414*s**3/7 + 314602*s**2/7 + 964192*s/7 + 538240/7 = 0.
-1, 5, 232
Factor -2*y**2 + 44*y.
-2*y*(y - 22)
Factor 3*h**3 + 636*h**2 + 11820*h + 57600.
3*(h + 10)**2*(h + 192)
Suppose -3*l**3 + 36*l**2 + 39*l = 0. Calculate l.
-1, 0, 13
Factor -58*i**2/5 + 18*i/5 + 8.
-2*(i - 1)*(29*i + 20)/5
Factor -6*g**3/5 - 8*g**2/5 + 56*g/5 - 32/5.
-2*(g - 2)*(g + 4)*(3*g - 2)/5
Let -y**2/2 - y - 1/2 = 0. What is y?
-1
Factor -p**5/2 - 323*p**4/2 - 17334*p**3 - 612360*p**2 + 629856*p.
-p*(p - 1)*(p + 108)**3/2
Factor 4*x**3 - 324*x**2 + 3032*x + 3360.
4*(x - 70)*(x - 12)*(x + 1)
Factor 4*b**2 + 72*b + 324.
4*(b + 9)**2
What is a in 5*a**4 + 150*a**3 + 1405*a**2 + 3480*a - 5040 = 0?
-12, -7, 1
Let -2*a**4 - 12*a**3 - 8*a**2 + 48*a + 64 = 0. What is a?
-4, -2, 2
Suppose 3*v**5/8 - 37*v**4/8 + 129*v**3/8 - 123*v**2/8 + 7*v/2 = 0. What is v?
0, 1/3, 1, 4, 7
Factor -3*o**2 - 81*o + 84.
-3*(o - 1)*(o + 28)
What is b in b**3 - 11*b**2 + 39*b - 45 = 0?
3, 5
Solve -4*k**4/3 + 116*k**3 + 480*k**2 + 1456*k/3 = 0 for k.
-2, 0, 91
Find f such that f**5 - 20*f**4 + 53*f**3 + 458*f**2 + 672*f + 288 = 0.
-2, -1, 12
Factor -w**2/2 - 2234*w - 2495378.
-(w + 2234)**2/2
Factor -5*l**2 - 170*l - 165.
-5*(l + 1)*(l + 33)
Factor -5*n**4 + 30*n**3 - 20*n**2 - 30*n + 25.
-5*(n - 5)*(n - 1)**2*(n + 1)
Factor 2*r**4 - 178*r**3.
2*r**3*(r - 89)
Factor 5*r**4 - 345*r**3 + 630*r**2 + 2680*r.
5*r*(r - 67)*(r - 4)*(r + 2)
Solve -r**3/2 - 53*r**2/2 - 76*r - 50 = 0.
-50, -2, -1
Solve 15*p**5/4 + 33*p**4/2 + 39*p**3/4 - 21*p**2 - 9*p = 0.
-3, -2, -2/5, 0, 1
What is y in -2*y**3 - 88*y**2 + 90*y = 0?
-45, 0, 1
Factor -13*l**3/10 - 19*l**2/5 - 23*l/10 + 1/5.
-(l + 1)*(l + 2)*(13*l - 1)/10
Find c, given that c**2/2 - 23*c + 44 = 0.
2, 44
Factor 2*d**2/9 + 160*d/9 - 406/3.
2*(d - 7)*(d + 87)/9
Factor 4*a**3/5 - 18*a**2/5 - 12*a/5 + 2.
2*(a - 5)*(a + 1)*(2*a - 1)/5
Factor o**2/5 - 4*o - 156/5.
(o - 26)*(o + 6)/5
Determine w so that 2*w**2 - 95*w + 47 = 0.
1/2, 47
Factor 5*m**3 + 140*m**2 - 620*m + 640.
5*(m - 2)**2*(m + 32)
Factor -5*r**3 - 280*r**2 + 5*r + 280.
-5*(r - 1)*(r + 1)*(r + 56)
Factor 5*y**2 - 3360*y + 564480.
5*(y - 336)**2
Factor t**5/5 + 27*t**4/5 - 438*t**3/5 + 1142*t**2/5 - 1083*t/5 + 351/5.
(t - 9)*(t - 1)**3*(t + 39)/5
Let -3*y**5 + 3*y**4 + 51*y**3 - 159*y**2 + 168*y - 60 = 0. Calculate y.
-5, 1, 2
Let o**5/3 - 7*o**4/3 + 40*o**2/3 - 16*o/3 - 16 = 0. Calculate o.
-2, -1, 2, 6
Solve -289*i**5 - 323*i**4 - 35*i**3 - i**2 = 0.
-1, -1/17, 0
Factor 2*z**3 - 130*z**2 + 2176*z - 2048.
2*(z - 32)**2*(z - 1)
Factor -587*r**2/3 - 195*r + 2/3.
-(r + 1)*(587*r - 2)/3
Determine l so that -4*l**4 - 32*l | {
"pile_set_name": "DM Mathematics"
} |
er?
11
What is the square root of 258417 to the nearest integer?
508
What is the square root of 1495708 to the nearest integer?
1223
What is 81583 to the power of 1/6, to the nearest integer?
7
What is the fifth root of 2355980 to the nearest integer?
19
What is the eighth root of 6505519 to the nearest integer?
7
What is 96819 to the power of 1/2, to the nearest integer?
311
What is 9687976 to the power of 1/2, to the nearest integer?
3113
What is the square root of 25969974 to the nearest integer?
5096
What is the seventh root of 602060 to the nearest integer?
7
What is the tenth root of 2958659 to the nearest integer?
4
What is the square root of 291843 to the nearest integer?
540
What is 530443 to the power of 1/9, to the nearest integer?
4
What is the fifth root of 9290073 to the nearest integer?
25
What is the cube root of 875364 to the nearest integer?
96
What is the third root of 4977180 to the nearest integer?
171
What is the eighth root of 4843506 to the nearest integer?
7
What is 5319822 to the power of 1/2, to the nearest integer?
2306
What is the third root of 194632 to the nearest integer?
58
What is 2837063 to the power of 1/4, to the nearest integer?
41
What is the third root of 984238 to the nearest integer?
99
What is 22455106 to the power of 1/10, to the nearest integer?
5
What is the square root of 11312 to the nearest integer?
106
What is 27441670 to the power of 1/3, to the nearest integer?
302
What is 8836928 to the power of 1/4, to the nearest integer?
55
What is the square root of 7830725 to the nearest integer?
2798
What is the cube root of 8201073 to the nearest integer?
202
What is 14394685 to the power of 1/2, to the nearest integer?
3794
What is 620652 to the power of 1/10, to the nearest integer?
4
What is 28989129 to the power of 1/6, to the nearest integer?
18
What is the eighth root of 1101630 to the nearest integer?
6
What is 6594018 to the power of 1/9, to the nearest integer?
6
What is 3849295 to the power of 1/2, to the nearest integer?
1962
What is the square root of 596185 to the nearest integer?
772
What is 6185201 to the power of 1/3, to the nearest integer?
184
What is the tenth root of 991759 to the nearest integer?
4
What is 33818202 to the power of 1/5, to the nearest integer?
32
What is 20593839 to the power of 1/3, to the nearest integer?
274
What is 584805 to the power of 1/2, to the nearest integer?
765
What is the tenth root of 3902192 to the nearest integer?
5
What is 133155 to the power of 1/4, to the nearest integer?
19
What is 541559 to the power of 1/3, to the nearest integer?
82
What is the square root of 448594 to the nearest integer?
670
What is the tenth root of 25913977 to the nearest integer?
6
What is 1576031 to the power of 1/5, to the nearest integer?
17
What is 571909 to the power of 1/3, to the nearest integer?
83
What is 1571758 to the power of 1/10, to the nearest integer?
4
What is 5946954 to the power of 1/8, to the nearest integer?
7
What is the tenth root of 7211598 to the nearest integer?
5
What is the fifth root of 191633 to the nearest integer?
11
What is 286970 to the power of 1/3, to the nearest integer?
66
What is the cube root of 54717 to the nearest integer?
38
What is the third root of 676655 to the nearest integer?
88
What is 130990 to the power of 1/2, to the nearest integer?
362
What is 1069 to the power of 1/2, to the nearest integer?
33
What is the third root of 2121733 to the nearest integer?
128
What is 8327741 to the power of 1/2, to the nearest integer?
2886
What is 553133 to the power of 1/2, to the nearest integer?
744
What is 3031011 to the power of 1/2, to the nearest integer?
1741
What is the eighth root of 1701396 to the nearest integer?
6
What is 2745593 to the power of 1/9, to the nearest integer?
5
What is 6240225 to the power of 1/2, to the nearest integer?
2498
What is the sixth root of 876719 to the nearest integer?
10
What is the ninth root of 423733 to the nearest integer?
4
What is the sixth root of 970645 to the nearest integer?
10
What is 1345299 to the power of 1/6, to the nearest integer?
11
What is the fourth root of 296986 to the nearest integer?
23
What is 2579939 to the power of 1/3, to the nearest integer?
137
What is the fifth root of 29886413 to the nearest integer?
31
What is 79960 to the power of 1/2, to the nearest integer?
283
What is the third root of 6902185 to the nearest integer?
190
What is 39889886 to the power of 1/4, to the nearest integer?
79
What is the sixth root of 647957 to the nearest integer?
9
What is 201621 to the power of 1/2, to the nearest integer?
449
What is 67882 to the power of 1/6, to the nearest integer?
6
What is 11286511 to the power of 1/2, to the nearest integer?
3360
What is 341090 to the power of 1/10, to the nearest integer?
4
What is 168878 to the power of 1/5, to the nearest integer?
11
What is the square root of 5336598 to the nearest integer?
2310
What is 452632 to the power of 1/2, to the nearest integer?
673
What is 646958 to the power of 1/9, to the nearest integer?
4
What is 473042 to the power of 1/5, to the nearest integer?
14
What is the square root of 3563898 to the nearest integer?
1888
What is the square root of 501925 to the nearest integer?
708
What is 918809 to the power of 1/2, to the nearest integer?
959
What is 3395146 to the power of 1/6, to the nearest integer?
12
What is 3184354 to the power of 1/2, to the nearest integer?
1784
What is the tenth root of 5934232 to the nearest integer?
5
What is the third root of 1582547 to the nearest integer?
117
What is 1300646 to the power of 1/7, to the nearest integer?
7
What is 220164 to the power of 1/3, to the nearest integer?
60
What is the square root of 914143 to the nearest integer?
956
What is 10684669 to the power of 1/2, to the nearest integer?
3269
What is 228844 to the power of 1/2, to the nearest integer?
478
What is 11645583 to the power of 1/2, to the nearest integer?
3413
What is the square root of 701664 to the nearest integer?
838
What is the square root of 1957089 to the nearest integer?
1399
What is the third root of 21266238 to the nearest integer?
277
What is the square root of 125040 to the nearest integer?
354
What is 9221425 to the power of 1/2, to the nearest integer?
3037
What is the fifth root of 178936 to the nearest integer?
11
What is 10767500 to the power of 1/3, to the nearest integer?
221
What is 11784658 to the power of 1/3, to the nearest integer?
228
What is 353200 to the power of 1/5, to the nearest integer?
13
What is the square root of 31831790 to the nearest integer?
5642
What is 281282 to the power of 1/2, to the nearest integer?
530
What is 1560839 to the power of 1/2, to the nearest integer?
1249
What is 114969 to the power of 1/5, to the nearest integer?
10
What is the third root of 14883185 to the nearest integer?
246
What is 14987 to the power of 1/2, to the nearest integer?
122
What is the square root of 16017948 to the nearest integer?
4002
What is 5413832 to the power of 1/8, to the nearest integer?
7
What is 671599 to the power of 1/2, to the nearest integer?
820
What is the seventh root of 257069 to the nearest integer?
6
What is 36142955 to the power of 1/3, to the nearest integer?
331
What is the tenth root of 17159095 to the nearest integer?
5
What is 671028 to the power of 1/3, to the nearest integer?
88
What is the cube root of 1866263 to the nearest integer?
123
What is the square root of 444423 to the nearest integer?
667
What is 199477 to the power of 1/2, to the nearest integer?
447
What is the cube root of 146762 to the nearest integer?
53
What is 1858604 to the power of 1/6, to the nearest integer?
11
What is the tenth root of 5417752 to the nearest integer?
5
What is 256766 to the power of 1/7, to the nearest integer?
6
What is 147176 to the power of 1/2, to the nearest integer?
384
What is the third root of 620353 to the nearest integer?
85
What is 635332 to the power of 1/8, to the nearest integer?
5
What is the square root of 70610 to the nearest integer?
266
What is the ninth root of 1161078 to the nearest integer?
5
What is 478249 to the power of 1/3, to the nearest integer?
78
What is 52127 to the power of 1/9, to the nearest integer?
3
What is 128438 to the | {
"pile_set_name": "DM Mathematics"
} |
(c) 3 (d) -0.004 (e) -10 (f) -2
d
What is the smallest value in -1/6, -0.5, 5, 1/2, 1/4, -684, 0.04?
-684
Which is the third biggest value? (a) -7 (b) 50 (c) 2 (d) -0.2 (e) -203/5 (f) -1 (g) 5
c
What is the fourth smallest value in 1, -105.2, -1, 3, 0.5, -2/1819?
0.5
What is the second biggest value in 0.4, -14, 0.1, 10885, -2, 2?
2
Which is the second biggest value? (a) -2/73 (b) -1/7 (c) 38 (d) -2 (e) 43/4
e
What is the third biggest value in -4, 2, -0.1, 4/117, 0.214, 3?
0.214
Which is the second biggest value? (a) 65.7 (b) -1/2 (c) 3993
a
Which is the fifth biggest value? (a) 0.3 (b) 325 (c) -2.4 (d) 8 (e) 14 (f) -0.5
f
What is the second biggest value in 2/129, -0.1, 6194456?
2/129
Which is the fourth biggest value? (a) 3 (b) 0.3 (c) -7179 (d) -0.02
c
Which is the third biggest value? (a) 0 (b) -0.12 (c) -3 (d) -0.5 (e) 14 (f) 1 (g) 163
f
Which is the second biggest value? (a) -419.1 (b) 3/4 (c) 3/2 (d) 0.08 (e) 0 (f) 2/11
b
Which is the fourth smallest value? (a) 4656/13 (b) -0.4 (c) 5 (d) -4 (e) -24
c
What is the biggest value in -173, 3, 0.11913?
3
What is the fourth biggest value in -5/3, -0.3, -3, -71.507?
-71.507
What is the smallest value in -0.3, -18, 1, 9.6226?
-18
Which is the second biggest value? (a) -0.12 (b) -0.3 (c) 93 (d) 3 (e) 4 (f) 5 (g) 5/26
f
What is the second biggest value in 2, -1.3, 2.26, -0.2, -1616?
2
What is the fourth biggest value in 2, 5, 99930.1, -1?
-1
Which is the fourth smallest value? (a) -1/8 (b) 4/5 (c) -44.0983 (d) -3/5
b
Which is the second smallest value? (a) 11 (b) 0.02985 (c) 51
a
Which is the third biggest value? (a) 129 (b) 0.68 (c) -6206/5
c
Which is the fourth biggest value? (a) 0.4 (b) -290/9 (c) 0.1 (d) 0.2 (e) 13 (f) -0.3 (g) 3/4
d
What is the third biggest value in -700, -1/2, 0, 1/4?
-1/2
What is the second biggest value in -264, 17616, 0.4?
0.4
What is the smallest value in 4, -8308, -5, -4, -84, 5?
-8308
What is the second smallest value in -0.04, 0.06, 0, -61, -2/15, -756?
-61
What is the second smallest value in 2/19, 2/5, -3, -3/20, -0.5, 5/11, 0.024?
-0.5
Which is the fourth biggest value? (a) 1/7 (b) 0.2 (c) 33/1642 (d) 1.6 (e) -3/2 (f) 1 (g) 2
b
Which is the fourth smallest value? (a) 2/5 (b) 567 (c) -658 (d) 0.3
b
Which is the fourth smallest value? (a) -10.4 (b) 3 (c) 5 (d) 20 (e) -1078
c
What is the third smallest value in 97.9, -0.1, 99?
99
Which is the biggest value? (a) 5 (b) -15 (c) -2 (d) -69/20
a
Which is the smallest value? (a) 9 (b) -0.3 (c) -1128 (d) 1 (e) -3 (f) -178/7 (g) 3
c
Which is the second biggest value? (a) 26 (b) -3 (c) -2 (d) 1 (e) -0.02092
d
What is the second smallest value in -3/5, -372424, -3/4?
-3/4
What is the fifth biggest value in -2/23, -1/10, 5, -3, -64, 2/29, -4?
-3
Which is the fifth smallest value? (a) -4 (b) -2/5 (c) -4.16 (d) -3 (e) 3 (f) 0.045 (g) 1
f
What is the fifth smallest value in -1, -0.5, -2/7, 19/7, 2, 2/15, -4?
2/15
What is the biggest value in 1, -3489319, -12, 2?
2
What is the third smallest value in 1, -162, 40, -3/4, -9/5?
-3/4
Which is the biggest value? (a) 974 (b) -35.753 (c) 4 (d) -2/3
a
Which is the second smallest value? (a) 8 (b) -8 (c) 4 (d) 0.4 (e) 1.32
d
Which is the second smallest value? (a) -3/4 (b) 24/85 (c) -0.21 (d) -25
a
Which is the smallest value? (a) 4 (b) 12 (c) -240/7 (d) -5
c
What is the third smallest value in 1889, 190, 0?
1889
What is the second smallest value in -3, 126, 1/12, -69858?
-3
What is the second smallest value in 59/3, 1/4, -22812, 5, 4?
1/4
What is the fourth biggest value in -476, -0.1, 2/13, 23/217?
-476
What is the biggest value in -317, -1002, -0.28?
-0.28
What is the fifth smallest value in 0.5, 0.1, -9.3, 5, -0.4, -1/7, -2?
0.1
Which is the third smallest value? (a) 1 (b) 11951057 (c) 5
b
What is the biggest value in 0.1, -2/25, 5, -0.16?
5
Which is the fourth biggest value? (a) 4 (b) -2 (c) -14 (d) 15/7 (e) 16.9 (f) -2/13 (g) 4/5
g
What is the smallest value in -5/3612, -919, -7?
-919
Which is the fourth smallest value? (a) 24.6 (b) -3 (c) 5 (d) 2403 (e) 2/5 (f) 4
c
Which is the sixth smallest value? (a) 0.15 (b) -38 (c) 3/5 (d) 3 (e) 33/4 (f) 1/3 (g) 1
d
Which is the smallest value? (a) 0.1 (b) -0.07 (c) 248.3648
b
Which is the fifth smallest value? (a) -19/33 (b) -182 (c) 3/8 (d) -0.1 (e) -19
c
Which is the third biggest value? (a) -4 (b) 1 (c) 5 (d) -0.5 (e) -323.322
d
What is the biggest value in -3, -3.878448, -6, 2?
2
What is the fourth biggest value in 2/3, -2/142227, -0.01, -3?
-3
What is the second biggest value in 0, -0.2, 6, 3831/5, 0.2, -1/7, -1?
6
Which is the third biggest value? (a) -7 (b) 1.63 (c) 0.3 (d) 0.17 (e) -4
d
What is the fifth biggest value in -211, 55/2, 2/3, 4/11, -0.001?
-211
What is the second smallest value in -43.73, 4, -114?
-43.73
What is the fourth smallest value in -0.04, -1980, -4/15, -17?
-0.04
Which is the fourth biggest value? (a) 6/19 (b) -69 (c) 11/2 (d) 3 (e) 19/6 (f) 0.3 (g) -0.4
a
What is the third smallest value in -1, -16, -15/1558?
-15/1558
Which is the second biggest value? (a) 3/8 (b) 1/5 (c) 54 (d) 552/11
d
What is the sixth biggest value in -5, -6814, 5, 46, -2/7, -0.03, 0.3?
-5
What is the smallest value in 3, 0.2, -0.3, -0.25, 2.7?
-0.3
What is the biggest value in -1/6, -506/5, 3, -6/31, 2, 4/9?
3
Which is the second smallest value? (a) -4 (b) 4211 (c) 1/9 (d) -1000
a
Which is the sixth smallest value? (a) 4 (b) 17/14 (c) -51 (d) 3 (e) 5 (f) -4/5
e
What is the third biggest value in 8, -1592294.1, 3?
-1592294.1
What is the fourth biggest value in -1, -2/29, -2066, -5, -2/17, -1/7?
-1
What is the second biggest value in -6/6899, 13/8, 28?
13/8
Which is the second biggest value? (a) 464 (b) 306 (c) -3.6 (d) -4
b
Which is the seventh biggest value? (a) 2194 (b) -0.2 (c) 0.04 (d) 1/5 (e) -1/2 (f) 2/17 (g) 5
e
Which is the biggest value? (a) 0.5 (b) 5 (c) -215 (d) 0 (e) -2.17 (f) 0.12
b
Which is the second smallest value? (a) 5 (b) -2 (c) -1 (d) -2/15 (e) -354 (f) -1249 (g) 0
e
What is the second biggest value in 0, -0.1, -282/14651?
-282/14651
What is the fourth biggest value in 6, -660, -17/2, 4/67?
-660
Which is the fifth smallest value? (a) 3 (b) 4 (c) -0.2 (d) 5 (e) 0.13 (f) 1.1 (g) -0.14
a
What is the biggest value in 8, -3/7, -94.57, -209?
8
What is the second smallest value in 13792, 3/7, -0.2, -2/63?
-2/63
Which is the third smallest value? (a) 15 (b) -3/11 (c) 2638.6
c
Which is the third smallest value? (a) -2 (b) 0.2 (c) 3/7 (d) -5 (e) -1/4 (f) -2/2815
e
What is the biggest value in -2, 35.916, -132.6?
35.916
Which is the smallest value? (a) 3 (b) 7 (c) -1254 (d) -0.06 (e) -833
c
What is the fifth smallest value in 0, -678, -1.143, -4, 0.5?
0.5
What is the third biggest value in 5/2747, 2, -369?
-369
What is the smallest value in -1, 2/11, -5, 12/176917, -2/7?
-5
Which is the fourth biggest value? (a) -479 (b) 0.4 (c) -0.082 (d) 41
a
Which is the second smallest value? (a) 8/3 (b) -1050.3711 (c) -0.1
c
What is the third biggest value in 18.2405, 28, 0.015?
0.015
What is the biggest value in -5, -63, 1/3, -0.4, -46, -13/6, -2/17?
1/3
What is the fifth biggest value in -1/2, -3, -7, 18, 3, -5, 48.2?
-3
Which is the third smallest value? (a) 1 (b) 2 (c) -1.8 (d) -107 (e) 1/7 (f) -2/5
f
Which is the third biggest value? (a) -2/105 (b) -8 (c) 2.51
b
What is the biggest value in 2/425, -3365, -4?
2/425
What is the third biggest value in 0, 22, -4/5, 2, -0.05682, 19?
2
What is the biggest value in -7/104, 1548, 1/7?
1548
Which is the sixth smallest value? (a) 1 (b) 2/415 (c) -4 (d) 2/9 (e) -2 (f) 3/16
a
Which is the third biggest value? (a) -9433 (b) 5/6 (c) -326
a
Which is the fourth biggest value? (a) 842522 (b) 2/5 (c) 0.36 (d) 0
d
What is the third smallest value in -52, 123, -422?
123
Which is the second biggest value? (a) 6/5 (b) -1/5 (c) 6 (d) -4/41 (e) 0.4 (f) 0.12
a
Which is the biggest value? (a) -1498513 (b) 5 (c) 4 (d) -2 (e) 13
e
What is the biggest value in -65, 0.16, 1042, 0.4, -3?
1042
What is the biggest value in 0, 1/4, 735829.69?
735829. | {
"pile_set_name": "DM Mathematics"
} |
f s(l)?
5
Suppose 3*c - 79 = i - 3*i, 0 = -2*i - 2. Suppose 2*u = r - 455, u - 930 = -29*r + c*r. What is the hundreds digit of r?
4
Let o = 639 + -636. Suppose 1455 = 2*n + 5*g, -o*n + 7*g + 2200 = 11*g. What is the tens digit of n?
4
Let r(w) = -w**3 + 17*w**2 - w + 19. Let g = 59 + -24. Suppose -6*a + g + 67 = 0. What is the units digit of r(a)?
2
Suppose -124*f + 358 = 110. Let n = 13 + -8. Suppose n*r + c = 822, -4*r + f*c + 173 = -493. What is the units digit of r?
5
Let o = -123 + 125. What is the units digit of 79*(-2 + 1 + o)?
9
Suppose b - 17 = -5*y, 5*y - 11*b = -8*b + 9. Suppose -3*h + 5*j = -8*h + 6935, 4149 = y*h - 3*j. What is the tens digit of h?
8
Suppose -t = 3*x + 3*t - 23, -2*t = -10. Suppose -4*f + k = 302, -9 = 5*k + x. What is the tens digit of (-3 - 1)/(4/f)?
7
Let o(s) = s**3 + 35*s**2 + 16*s - 141. Let u be o(-29). Suppose 3*k = -9, -2*k - 389 = -4*t + u. What is the units digit of t?
6
Suppose 13*l = -43 - 9. Let w(x) = -4*x**2 - 2*x + 3. Let p(c) = 3*c**2 + 2*c - 4. Let q(m) = l*w(m) - 5*p(m). What is the units digit of q(8)?
6
Suppose -5*j + 17 = -j - z, 4*j = 4*z + 8. Suppose -6*o = -2*o + 5*x - 913, j*o + 4*x = 1130. What is the units digit of o?
2
Let t be 2/(-7) - (-80)/35. Let j(g) = g + 15 + 0*g**3 + 5*g - g**3 - 3 + 8*g**t. What is the hundreds digit of j(7)?
1
Suppose -2 = 2*w - 2*n, 4*w - 2*n = 6*w - 2. Suppose w = 5*p - 20, -2*r - p = p - 650. What is the tens digit of r?
2
Suppose -118 = -15*n - 13. Suppose 0 = -n*o + 47 - 19. What is the units digit of o?
4
Let k be (1 - (4 + 0)) + 5. Let z be (-8 - (-6)/(-3))/k. What is the units digit of z + 166/2 + 6/2?
1
Suppose 4*w = -20, 4*a + 8 = -w - 3*w. Suppose -7*t = -a*t - t. Suppose -5*u + 565 = 3*k - t*u, 3*k + 3*u = 555. What is the units digit of k?
0
Let v be -1 - -2 - (3 + -3). Let y(c) = -c**3 - 12*c**2 + 7*c - 3. Let j be y(-13). What is the tens digit of (j/(-2) + v)*-4?
4
Let n(t) = t**3 + 29*t**2 + 21*t + 18. Let g be n(-15). Suppose 30*f + g = 37653. What is the tens digit of f?
6
Suppose 37*j = -188*j + 1052100. What is the units digit of j?
6
Let z(g) = 24*g - 2. Let r be z(-3). Suppose 4966 + 24449 = -249*a - 1959. Let y = r - a. What is the tens digit of y?
5
Suppose -3*u + 16578 = 3*q, 11299 = 2*u - 5*q + 254. What is the thousands digit of u?
5
Let h(j) = j**3 - 21*j**2 - 45*j - 40. Let w be h(23). What is the units digit of -2642*(-2)/4*(-16 - w)?
1
Suppose 24*x = -40*x + 6*x + 618802. What is the hundreds digit of x?
6
Let t = -3 - -9. Suppose -t*w + w - 12780 = 0. What is the hundreds digit of w/(-14) + (12/7)/4?
1
Let r(y) = y**3 + 8*y**2 + 10*y - 1. Let i be r(-8). What is the units digit of ((-1)/2)/(i/(-82) - 1)?
1
Suppose 22 - 8 = k. Let g be (-5 - k/(-4))*2. What is the tens digit of (-1 - 1/3) + (-328)/g?
0
Let l be 895 + (-18)/(-6)*8/(-6). Suppose 33 = 3*o - l. What is the tens digit of o?
0
Suppose -l + 2*a + 0*a = 3, -4*l = -a + 19. Let f be l/(-25) + (-536)/5. Let u = 17 - f. What is the tens digit of u?
2
Let p = 108 - 106. Let k be (-1)/(p - (-9)/(-6)). What is the tens digit of 0 - (-139 + k/4*0)?
3
Let h(p) = p**2 - p + 1. Let y be h(2). Let l(r) = -10*r + 6. Let o(m) = -10*m + 7. Let g(b) = -3*l(b) + 2*o(b). What is the units digit of g(y)?
6
Let a(f) = -48*f**3 + 40*f**2 + 125*f - 13. What is the ten thousands digit of a(-7)?
1
Suppose 19*t - 3*l = 16*t - 27, -3*l = 4*t + 8. What is the hundreds digit of 1*401*(t - (-1 - 6))?
8
Suppose 84*c = -31*c + 284050. What is the units digit of c?
0
Let k = 277 + -273. Suppose -816 = -k*b - 5*i, 11*i - 13*i + 804 = 4*b. What is the units digit of b?
9
Let f = 7313 - 1333. What is the units digit of f?
0
Let m(i) = i**2 - 9*i - 3. Suppose 3*c - 4*r + 34 - 122 = 0, -c - 2*r + 16 = 0. Suppose -14*g = -10*g + c. What is the tens digit of m(g)?
8
Suppose -10*k + 873 = -k. Suppose -k*x = -96*x - 500. What is the hundreds digit of x?
5
Let j(c) = c**2 + 5*c - 14. Let i be j(-7). Let x be ((-33)/22)/((-2)/4). Suppose i = v - 3*l - 6, 24 = -x*v + 7*v + 5*l. What is the units digit of v?
6
Let p(y) = 22*y + 52. Let u(b) = -23*b - 53. Let z(k) = 4*p(k) + 3*u(k). What is the tens digit of z(18)?
9
Let q(t) = 4 - 1 + 2*t**2 - 4*t + 0*t**2 + 6 + 11. What is the hundreds digit of q(21)?
8
Suppose -4*b = 2*s - 15786, -4*b = -2*s - 19959 + 4185. What is the thousands digit of b?
3
Let l(t) be the third derivative of t**5/30 - 29*t**3/2 + t**2 - 5. What is the units digit of l(10)?
3
Let c be 0 + 53 - (3 - (-10)/(-2)). Suppose 60*f = c*f + 145. Suppose 3*u = -3*y + 234, f = -y + 4*u + 127. What is the tens digit of y?
8
Suppose 0 = 50*o - 592084 + 10634. What is the units digit of o?
9
Suppose 47*j - 22*j = -62*j + 474498. What is the hundreds digit of j?
4
Let n(q) = 3*q - 9. Let v be n(4). What is the units digit of 1/v + (-7555)/(-15)?
4
Suppose 58 + 194 = -14*w. What is the hundreds digit of (-390)/4*(w + 16) - 0?
1
Suppose -183*i + 691542 - 192004 = -462493. What is the thousands digit of i?
5
Suppose 0 = 7*q - 0*q - 16374 - 47242. What is the hundreds digit of q?
0
Let n(b) = 12*b - 509. Let z be n(36). What is the hundreds digit of (-43981)/z - 6/33?
5
What is the thousands digit of 1*(1266 + -6*12/9)?
1
Let w(n) = n - 1. Let u be w(3). Let b be u*(-172)/(-8)*1. Suppose -b = -q - 5. What is the units digit of q?
8
Let n = 203 + 255. Let k = -270 + n. What is the units digit of k?
8
Let h = 70 + -68. Suppose 5*l = 2*n - 525, h*l - 249 = 2*n - 3*n. What is the tens digit of n?
5
Let z(o) = -o**3 - 7*o**2 - 8*o + 10. Let n be z(-5). Suppose n*b - 151 = -i + 5*b, 5*b = -2*i + 257. Suppose 0*x = -2*x + i. What is the units digit of x?
8
Let p be (-168969)/(-45) - (-4 + 116/30). Suppose p - 477 = 22*x. What is the tens digit of x?
4
Let k be -138*(-13)/((-182)/(-21)). Let x be -135 + (-2 - 0) + 2. Let c = x + k. What is the tens digit of c?
7
Let a = 200 + -188. Suppose a*q - 152 = 268. What is the tens digit of q?
3
Let y(a) = 2*a - 12. Let b(z) = 12*z - 73. Let m(h) = -6*b(h) + 34*y(h). Let c(n) = 7*n - 59. Let d(r) = -4*c(r) - 9*m(r). What is the units digit of d(17)?
2
Let a = 1163 - 606. Let u = a - 94. Let c = u - 245. What is the tens digit of c?
1
Let j = 8770 + -3968. What is the thousands digit of j?
4
Let r = 51 - 192. Let f = 153 - r. What is the tens digit of f?
9
Suppose -3*u = -v + 4, -3*u + 6*u - 5*v - 4 = 0. What is the units digit of 0 + u + (-2)/(4/(-626))?
1
Suppose 21271 = -12*q - 6713. What is the units digit of q*(-7)/70 - (-4)/5?
4
Suppose -485*x + 14808 = -484*x. What is the units digit of x?
8
Suppose -8*s = 4*o - 3*s - 1491, s = 2*o - 749. Let f = o - 301. What is the tens digit of f?
7
Let g(a) = 1999*a**2 + 198*a - 405. What is the tens digit of g(2)?
8
Suppose w - 1715 = 2*q - 2*w, -1 = -w. Let j = q - -2186. What is the units digit of j?
0
Suppose 23316 - 4576 = 20*o. What is the tens digit of o?
3
Suppose 3*f + p - 4*p - 15 = 0, -4*f + 5*p + 21 = 0. Suppose 5*v + f*l = 493 + 899, 0 = -5*v - 5*l + 1390. What is the units digit of v?
0
Let z(b) = 581*b**2 + 8*b - 11. Suppose 7*t = 624 - 617. What is the tens digit of z(t)?
7
Let n(o) = 82*o**2 - 3*o + 2. Let w be n(1). Let m = w + 136. What is the units digit of m?
7
Let f be -12*((-1)/6 + (-20)/120). Suppose -5*n = -4*v - 625, 3*n - 9*v = -f*v + 388. What is the tens digit of n?
2
Suppose 1195719 = 324*p - 4637253. What is the tens digit of p?
0
Let m be 1*12*5*4/(-8). Let w(t) = -27*t - 151. What is the hundreds digit of w(m)?
6
Let p(u) = -18*u**2 + 18*u - 114. Let l(b) = -16*b**2 + 19*b - 114. Let k(w) = -7*l(w) + 6*p(w). What is the units digit of k(13)?
5
Suppose -5*l + 777*w - 774*w = -59866, -3*l + 4*w = -35902. What is the tens digit of l?
7
Let v(l) = -11*l**3 + 8*l**2 - 3*l + 9. What is the units digit of v(-7)?
5
Suppose 25*d = 144 + 1031. Suppose -4*g = -c - 3614, -d*g + 51*g - 3612 = 2*c. What is the hundreds digit of g?
9
Suppose -20*x = -11*x - 1719. Let m = x + 125. What is the hundreds digit of m?
3
What is the units digit of (3/6 - 1) + (-278538)/(-52) - 3?
3
Let v(i) = -i**2 - 12*i - 7. Let x be v(-10). Let p(t) = x*t**2 + 2*t**3 - 19*t**2 + 2 + 2 + 6*t. What is the tens digit of p(5)?
3
Suppose 0 = -173*j + 1056914 + 1820076. What is the units digit of j?
0
Let c(f) = 31*f + 2. Let t be c(-2) | {
"pile_set_name": "DM Mathematics"
} |
c(m) = 2*p(m) + 5*v(m). Let d be c(17). Suppose 5*o + 1 - 26 = 0. Solve o*s - d = s for s.
2
Let u(v) = 3*v**3 - 5*v**2 - 5*v. Let g be u(4). Solve g*k - 95*k = 0 for k.
0
Let r be 23/7 - 4/14. Let m(x) = 12*x - 5. Let t be m(3). Let z = t + -29. Solve -z*g + r = -3 for g.
3
Let z be (12/(-9))/((-2)/3). Let t = -143 + 131. Let b be 3/(t/(-8)) - z. Solve 0 = 3*c - b*c + 6 for c.
-2
Let w be (-15)/(-36)*6*2. Solve -7*g - 33 + w = 0 for g.
-4
Let k be (-1 - 1)/(474/54 - 9). Solve -k*y - 3 = -8*y for y.
-3
Let m = 9 - 5. Let s = 39 + -35. Suppose -s*a - 4 = m*f, 4*a + 0*f = 5*f + 14. Solve i - a = -0*i for i.
1
Let g = 483 + -463. Solve 0 = 2*v - g + 18 for v.
1
Let u be (6 + -5)*(9 + -3). Let v(r) = r**2 - 4*r - 6. Let m be v(u). Solve m*f - f + 10 = 0 for f.
-2
Let z(g) = 2*g**2 + 6*g - 3. Let t be z(-3). Let y(n) = -10*n - 5. Let v be y(t). Solve -v = -5*u - 0 for u.
5
Let n(d) = -10*d + 31. Let y(h) = 2*h - 6. Let m(i) = 2*n(i) + 11*y(i). Let p be m(8). Suppose -r + p = 4. Solve -3*o = -r*o for o.
0
Let i = -71 + 80. Solve 5*o = -6 - i for o.
-3
Let m = -12 - -27. Suppose 3*h = -0*h + m. Solve p + h = -0*p for p.
-5
Suppose -4*s = 5 - 13. Suppose -4 = -s*a + 6. Solve 4 = a*p - 6 for p.
2
Suppose 7 + 9 = 4*c. Let n = -29 - -31. Solve 0 = -n*g + c for g.
2
Let c = -80 + 82. Suppose -4*h + 4*t = -28, -c*h + 7 + 11 = 2*t. Let f be (1 - 1) + (-12)/(-6). Solve 3*i + h = f for i.
-2
Suppose 23 = 7*w - 19. Solve w*c = 8*c + 2 for c.
-1
Let k = -82 - -93. Solve -k*m - 4 + 37 = 0 for m.
3
Suppose 5*u + z - 21 = 0, u + 3*z - 11 = -u. Suppose -2*w + 2*m - 8 + 54 = 0, -4*w + 2*m = -86. Solve u*o + o = -w for o.
-4
Let b be (-197)/5 + 4/10. Let z = 42 + b. Solve -k + z = 2*k for k.
1
Let f = 40 - 45. Let a be (-17)/(-34) - (-6)/4. Let v be a*5/f + 8. Solve 0 = v*m - m - 15 for m.
3
Suppose -6*v + v - 2*r + 15 = 0, 0 = v + 4*r - 21. Let i be ((-1)/v)/((-3)/6). Let k be (-36)/(-10) - -4*4/40. Solve -u - k = -i*u for u.
4
Let o(r) = 4*r - 1. Let g(p) = p**3 + 12*p**2 + 12*p + 14. Let u be g(-11). Let k(z) = z. Let v(d) = u*k(d) - o(d). Let x be v(-2). Solve x*n + 0*n = 6 for n.
2
Let f be (-1 - (-15)/10)*26. Suppose -2*i = u - f, 2*i + 5*u - 45 = -3*i. Let c(z) = z - 3. Let s be c(5). Solve -s + i = g for g.
2
Let j be 0 + (-50)/(3 + -5). Let k = j + -25. Solve x = -k*x - 3 for x.
-3
Let h = 48 - 46. Let g = 1 + 0. Let t = g + h. Solve t = -5*y + 13 for y.
2
Let g(i) = -i + 3. Let c = -4 + 13. Let z = c - 6. Let r be g(z). Solve r*m = -m for m.
0
Suppose 174*o - 6 = 173*o. Solve -o*l - 2 - 22 = 0 for l.
-4
Let a = 9 - 6. Let x(h) = h**3 - h**2 + 3*h + 7. Let f be x(0). Let s be 3 - (a + (0 - f)). Solve -s*o + 2*o = -5 for o.
1
Let m = -13 - -15. Suppose 4 + m = p + 2*s, 0 = p - s + 3. Suppose 5*h - 17 = 8. Solve -c = -h - p for c.
5
Suppose -t - 1 = -3*a - 10, -3*t + 27 = 4*a. Suppose -45 = -t*c + 4*c. Let r = 169 + -163. Solve -r = -3*m + c for m.
5
Let v = -9 + 5. Let r be (-61)/(-9) + v/(-18). Suppose -n = -r + 4. Solve -n*s - 10 = -s for s.
-5
Suppose t - 2 + 1 = 0. Let d be (0/(-5))/(0 + t). Suppose 2*n - 6 = -3*b + 8*b, d = n - 3. Solve b = -2*h - 2*h for h.
0
Suppose -3*q + q = -10. Let z(h) = 2*h - 4. Let s be z(q). Suppose s = 3*u - 3. Solve r + 8 = u*r for r.
4
Suppose -30*r + 32 = -28*r. Suppose -r = -2*d - 4. Let n be d + 2 + 3/3. Solve -2*x - 1 = n for x.
-5
Let y = -63 + 91. Let t = y - -8. Let d be 2/(-4) - t/(-8). Solve d = -a + 1 for a.
-3
Suppose -57*p = -857 - 853. Solve -22*g + p*g = 0 for g.
0
Let z(m) = 28*m + 71. Let d be z(-2). Solve q = d*q + 70 for q.
-5
Let r(v) = 3*v**2 + 43*v + 25. Let k be r(-14). Solve -16 = -k*j + 7*j for j.
4
Let d = 50 + -47. Suppose 2*m + i = -0*m + d, -5*m + 3*i = -24. Solve -4 = w - m for w.
-1
Suppose -2*x - 78 = -4*x. Let z = -35 + x. Solve -z*y + 6 = -10 for y.
4
Let u be -2 - -4 - (-5 + 3). Let f be u/6*-6 - -4. Let s be -1 - (-4)/2 - -5. Solve -2*r + f*r = s for r.
-3
Let s(c) = 2*c - 4. Suppose 2*u = -2*u + 12. Let p be s(u). Let j be (-16)/(-12) - p/(-3). Solve -2*b = j*b - 12 for b.
3
Let z = 207 + -205. Solve -z*n + 0*n = -8 for n.
4
Let b be (-2 - 34)*1/2. Let u = 18 + b. Suppose -g + 6*g = u. Solve 6 + g = -3*y for y.
-2
Suppose 2*l + 3 = 11. Suppose 233*q = 222*q + 77. Solve 9 = l*j - q for j.
4
Suppose -2*s + 3*s - 72 = 0. Suppose 9*q - s = 54. Solve -q = -5*j + 6 for j.
4
Suppose -g + 34*g = 165. Solve g*i = 11 - 31 for i.
-4
Let r = -7 - -36. Let u = r + -27. Solve -u*d + 6 = -5*d for d.
-2
Let s(g) = -g + 12. Let b be s(5). Let j be ((-28)/(-24))/b*6. Let q be j/(-3 + 16/5). Solve 3*z = q*z - 8 for z.
4
Let i be (4/8)/(3*(-2)/(-144)). Solve -11*b + 3 = -i*b for b.
-3
Let p(t) = 35*t - 350. Let j be p(10). Solve 8*k - 27 - 13 = j for k.
5
Suppose 0 = 2*n + 4*o - 164, -5*n - 19*o = -17*o - 410. Solve 85*q - 3 = n*q for q.
1
Suppose 10*l - 135 = 115. Suppose -10 = 5*y + 5*d, -2*y + 18 = -4*d - 2. Solve -7*j - l = -y*j for j.
-5
Let w(a) = 109*a - 1. Let c be w(1). Suppose 8*o - c = 4*o. Let m = o + -27. Solve m*g = g for g.
0
Suppose 0 = -4*w + 45 - 13. Suppose -4 = 5*c - 4*a, 0 = -a + 2 - 1. Suppose 5*z - 7*z + 2 = c. Solve w = 3*m - z for m.
3
Suppose -3*m - 2*p = -12, -m - 3*p = -8*p - 4. Let s(r) = 4*r - 3. Let a(x) = x - 1. Let t(j) = m*s(j) - 14*a(j). Let l be t(0). Solve -l*c = c - 3 for c.
1
Let m = -30 + 32. Let o be 3 + (-3)/(-6) + m/(-4). Solve 2*x - 5 = o for x.
4
Suppose 3*j + 0*j - 5*t = 49, 0 = 2*j - t - 21. Solve -j = -3*o + 1 for o.
3
Let l = 1056 + -811. Solve l*q + 20 = 249*q for q.
5
Let r(h) = h**3 - 4. Let f be r(2). Let m be 2 + f/18 + (-240)/(-135). Solve 1 = m*w - 15 for w.
4
Let x be ((-5)/3)/(40/(-96)). Suppose -3*i + 31 = -c - 3*c, -2*i + 30 = 2*c. Solve x*o + 1 = i for o.
3
Let i(j) = -j + 22. Let d be i(12). Suppose -s + 7 = b + s, -5*b + 5*s = d. Solve 0 = r - b - 3 for r.
4
Let o(k) = 3*k**2 + 2*k - 13. Let f be o(-4). Let w = f - 33. Let g = 7 + w. Solve g = 2*s - 9 for s.
5
Let x(c) = 5*c**2 - 8*c + 9. Let r be x(3). Solve r = -5*f - 5*f for f.
-3
Let l(c) = 12*c + 16. Let o be l(6). Let p = o + -84. Solve x - 2*x = p for x.
-4
Suppose -3*j = -0*j - 9. Solve j*g - 21 = -21 for g.
0
Let y(v) = v**2 + 8*v - 248. Let x be y(16). Solve 139*z - x*z = -15 for z.
-5
Suppose 0 = -5*g + 14 + 6, 3*g - 82 = -5*r. Let h(v) = v**3 - v**2 - 8. Let q be h(0). Let j = r + q. Solve 5*i - j = 3*i for i.
3
Let q = -1 - -1. Let g = 41 - 29. Suppose g + 0 = 2*a. Solve -5*s + 16 - a = q for s.
2
Suppose -3*z = -3*d - 0*z + 6, 0 = -3*d - 4*z + 27. Suppose d*s = -s + 24. Solve -3*x = s - 1 for x.
-1
Let g = 58 - 58. Solve g = -0*f - 3*f for f.
0
Let l(r) = -r**2 + 7*r - 3. Let p be l(6). Suppose -p*m - 15 = 0, -3*g + 5*g = -4*m - 20. Solve -4*j = -g*j for j.
0
Let a = 525 + -519. Solve 6 = -a*g - 0 for g.
-1
Suppose 5*w + 2*x - 110 = 0, -x - 92 = -3*w + 3*x. Suppose w*z + 20 = 28*z. Solve -5*u + z = -0*u for u.
1
Let m = -81 + 113. Let u = m + -29. Solve -u = -3*v - 0*v for v.
1
Suppose 33 = 8*y - 7. Suppose 7 = 3*r - 2*d - 3, -r - 8 = y*d. Solve 9 = -r*v - v for v.
-3
Let x be (-33)/55 - 27/5. Let w be -1*9/((-27)/x). Let b be -1 + 6 + (w - -1). Solve 0*g + g + b = 0 for g.
-4
Let w be (-12)/3 - (-3 - (5 - 0)). Solve w*s - 2 = 2 for s.
1
Let g(l) = 3*l**3 - 9*l**2 + 6*l + 9. Let h be g(3). Solve 3*j = -h + 30 for j.
1
Suppose -4*d + 4*j = 207 - 83, 4 = -j. Let q = 38 + d. Solve -q*s + 5*s + 10 = 0 for s.
-5
Suppose 0 = -4*l - 20, 3*l = 2*t - 0*t - 27. Let j be 26/t + (-14)/(-21). Suppose 15 - 5 = j*y. Solve 0 = -g - y*g + 12 for g.
4
Let w = -13 - -33. Suppose 5*b - w = b. Let p = b - 4. Solve -2 + p = k for k.
-1
Suppose -2*u + 0*k - 8 = -4*k, -k = -u - 2. Let q be (-2)/(-2)*(-12)/(-6). Solve -c + q + 0 = u for c.
2
Let f be -9 - (-1)/((-14)/(-182)). Let d be (1 + -1 - 6)/(-1). Suppose -d = -c - 2. Solve -c*o = -3*o - f for o.
4
Let o be (-5)/(-10) - -1 - 4/(-8). Let s be (0 - 16) + 0 + 1. Let b = s + 21. Solve -o*p - 2 + b = 0 for p.
2
Suppose 0 = -h - 3*o - 6, 3*o + 16 = -h + 2*o. Let p be (-4)/(-6) - 91/h. Suppose 6 = k + 2*w, p*w + 3 = 3*k - k. Solve -2*t + k + 4 = 0 for t.
4
Let p be -5 - (-192)/40 - (-41)/5. Solve -n - p = -4 for n.
-4
Let z = 0 + 0. Suppose -16 = -2*k - z*k. Let r = 182 + -177. Solve -3*n + k*n = r for n.
1
Let g = 43 - 49. Suppose -i - 3*i + 2*b - 52 = | {
"pile_set_name": "DM Mathematics"
} |
09000 and 8?
5209000
Calculate the smallest common multiple of 740376 and 24408.
2221128
Calculate the smallest common multiple of 330010 and 26565805.
53131610
What is the common denominator of 101/33480 and -4/2791395?
22331160
Calculate the smallest common multiple of 175 and 3011484.
75287100
Calculate the common denominator of -73/154912 and -61/9312.
45079392
What is the common denominator of 121/4666878 and 71/2958?
2300770854
Calculate the common denominator of 127/84067620 and 67/108990.
252202860
Calculate the common denominator of -30/5983417 and 15/54938647.
604325117
Calculate the least common multiple of 15912 and 1511328.
77077728
Find the common denominator of -37/255 and -64/118275.
2010675
Calculate the least common multiple of 47738980 and 1278.
429650820
Calculate the smallest common multiple of 72 and 6267384.
6267384
What is the lowest common multiple of 3043323 and 15?
15216615
What is the common denominator of -167/9692166 and 101/4080912?
77537328
What is the lowest common multiple of 594 and 738924?
73153476
What is the common denominator of -193/630 and 65/1213668?
42478380
Calculate the common denominator of -101/7019970 and 5/6654.
7019970
Find the common denominator of 43/1692992 and 3/109591.
49096768
What is the common denominator of 137/6 and 2/8871153?
17742306
Calculate the smallest common multiple of 449055 and 1530.
898110
What is the least common multiple of 98093 and 980930?
980930
Find the common denominator of -32/171991287 and 34/273.
1203939009
What is the common denominator of -3/2782 and -1/52537?
1365962
Find the common denominator of 41/89759844 and 59/179519688.
179519688
What is the lowest common multiple of 17136 and 28784?
4403952
Find the common denominator of -25/1430808 and 131/360.
21462120
What is the common denominator of 87/2692 and -127/1596060?
1074148380
Calculate the least common multiple of 26456 and 18492.
122306088
Calculate the least common multiple of 53587 and 11.
589457
Calculate the common denominator of -73/296 and 83/1417776.
52457712
Find the common denominator of -19/10672 and 101/665666.
5325328
What is the lowest common multiple of 3536 and 28834?
3921424
What is the lowest common multiple of 9804124 and 35651360?
392164960
Calculate the common denominator of 27/15116360 and 17/58953804.
589538040
Calculate the smallest common multiple of 561495 and 29880.
13475880
What is the least common multiple of 2592975 and 2625?
12964875
Calculate the smallest common multiple of 6345135 and 8.
50761080
What is the common denominator of 151/4548900 and -29/3720?
282031800
What is the common denominator of -27/15637550 and 23/2161970?
1610667650
What is the common denominator of -43/18881880 and 11/16521645?
132173160
Calculate the smallest common multiple of 1226070 and 8550.
6130350
Calculate the lowest common multiple of 1946727 and 4974969.
44774721
What is the least common multiple of 87649200 and 144?
87649200
Calculate the common denominator of -17/1463380 and -41/40.
2926760
Calculate the least common multiple of 285527187 and 2572317.
285527187
Calculate the smallest common multiple of 20270556 and 492.
831092796
Calculate the common denominator of -24/14477 and -97/1694276.
52522556
What is the least common multiple of 12969498 and 2?
12969498
What is the common denominator of 53/11204334 and -71/6?
11204334
What is the common denominator of -38/11293293 and 73/8213304?
90346344
Calculate the least common multiple of 2103600 and 300.
2103600
Calculate the least common multiple of 159488 and 10240.
6379520
What is the common denominator of -49/98517292 and 137/6?
295551876
What is the common denominator of -83/14074155 and -64/1023?
154815705
Calculate the common denominator of -5/5467 and 71/76706.
59907386
What is the smallest common multiple of 32535054 and 18?
32535054
What is the least common multiple of 809008 and 3640536?
7281072
What is the lowest common multiple of 20569932 and 1655052?
143989524
Calculate the common denominator of 89/34710600 and 111/28925500.
173553000
Find the common denominator of 37/3375332 and -71/5062998.
10125996
What is the common denominator of -73/71810 and 61/992?
35617760
Calculate the common denominator of 79/174 and 34/5394137.
938579838
What is the least common multiple of 16622118 and 126?
116354826
Calculate the lowest common multiple of 949660 and 21580.
1024683140
Calculate the common denominator of 73/57256006 and -49/475.
1431400150
Find the common denominator of -57/3796 and 125/405288.
29586024
Calculate the common denominator of -73/1120 and -43/1693888.
8469440
Calculate the common denominator of 131/9744 and -211/1090110.
8720880
Find the common denominator of -137/828 and 67/254932.
2294388
What is the common denominator of 83/15 and 19/7292232?
36461160
Calculate the smallest common multiple of 965712 and 8378.
68565552
Find the common denominator of -155/4781088 and -47/2.
4781088
Calculate the lowest common multiple of 80171630 and 20615562.
721544670
Calculate the lowest common multiple of 241162 and 20213.
6993698
What is the least common multiple of 215 and 448885?
19302055
What is the common denominator of -99/2470 and 37/265135?
10075130
Calculate the common denominator of -53/123948 and 107/121572.
38052036
What is the common denominator of -31/8143426 and 93/107758?
57003982
Find the common denominator of 65/44814 and 7/70290.
47726910
Calculate the common denominator of 35/1776 and 23/342011868.
1368047472
Calculate the least common multiple of 3860 and 9629156.
48145780
Calculate the common denominator of -3/2955920 and -71/184.
67986160
Calculate the common denominator of 31/2475 and 79/805200.
2415600
Calculate the common denominator of 61/32 and -139/7426242.
118819872
What is the smallest common multiple of 32536 and 3909?
127183224
What is the common denominator of -107/1204574 and 1/400876?
248142244
What is the lowest common multiple of 315112 and 10460?
824017880
Calculate the common denominator of 117/112451570 and 43/2190615.
337354710
Find the common denominator of -73/176852508 and 1/12632322.
176852508
Find the common denominator of 53/8 and -95/2510792.
2510792
Find the common denominator of -24/53599 and -30/1193101.
702736489
What is the common denominator of -85/274 and -3/735416?
735416
What is the lowest common multiple of 23638720 and 242200?
118193600
Calculate the least common multiple of 8030 and 183480.
13394040
What is the least common multiple of 2063719 and 7827?
6191157
Calculate the lowest common multiple of 100 and 9984215.
199684300
What is the lowest common multiple of 1470315 and 6365?
1470315
Calculate the lowest common multiple of 363192 and 726384.
726384
Calculate the least common multiple of 68770 and 10235.
6120530
Find the common denominator of 131/3192 and 59/1630056.
216797448
What is the lowest common multiple of 257924 and 28220?
107038460
What is the least common multiple of 45984780 and 3015?
45984780
What is the common denominator of -11/43209 and 28/27?
129627
Find the common denominator of -51/8240 and -13/15408800.
15408800
What is the least common multiple of 9367 and 231826?
74879798
Calculate the smallest common multiple of 125 and 562575.
2812875
Calculate the smallest common multiple of 33510 and 10.
33510
What is the common denominator of 19/1332482 and 14/5235?
19987230
What is the lowest common multiple of 9360 and 1986415?
3718568880
Calculate the common denominator of 23/638 and -71/115446100.
115446100
Find the common denominator of 7/5735988 and -127/432.
22943952
What is the smallest common multiple of 7249484 and 41519772?
456717492
Find the common denominator of -111/62272 and 7/4875008.
34125056
Calculate the lowest common multiple of 1339 and 6175468.
6175468
What is the common denominator of -103/12366258 and -52/27?
111296322
Calculate the common denominator of 131/39276 and 151/324445944.
973337832
Calculate the common denominator of 89/13000 and 15/42146.
21073000
Calculate the lowest common multiple of 1058272 and 182948772.
1463590176
What is the common denominator of 2/199065 and 2/4039?
1393455
What is the common denominator of -37/225 and 19/137019375?
137019375
What is the least common multiple of 33920 and 1721?
58376320
Calc | {
"pile_set_name": "DM Mathematics"
} |
. Solve q*y + y - s - 6 = 0, -2*s = -y + 7 for y.
5
Let v be (-570)/4*6/(-15)*-2. Let w be 2/8 + v/(-24). Solve -6*d = -d + w, 0 = 3*n + d + 10 for n.
-3
Let b = -29 + 27. Let s(m) = -3*m + 5. Let r be s(b). Solve k = 2*d + 5, -k + 1 = 3*d + r for d.
-3
Let z(a) = a**3 + a + 1. Suppose -4*l - l = -2*f - 16, -2*l + 7 = -f. Let y be z(l). Let n = y + -8. Solve -n*h + h = 4*c + 14, 5*h + 23 = 2*c for h.
-5
Suppose 0 = 5*n + 3*q + 25, -3*n + 2*q - 21 = 13. Let p = 53 + -40. Let i = p + n. Solve -t = -u + 1, 4*t + i*u = u + 28 for t.
3
Suppose -9*y = 9 - 72. Let v(i) = -i**3 + 7*i**2 - 2*i + 17. Let p be v(y). Solve k + 12 = -2*t - 3*t, 2*k - p*t - 15 = 0 for k.
3
Suppose 0 = -2*k - 78 + 86. Solve t + k*t = 5, t = 3*o + 10 for o.
-3
Let a = -144 + 33. Let m = a - -115. Solve -4*i + 11 = -3*w - 4, 5*i - 20 = m*w for i.
0
Let b(a) = -17*a - 807. Let s be b(-48). Solve -5*i = -w + 15, -4*i - 2*w - s = 3 for i.
-3
Suppose 15 = 3*i + 2*p, 5*i - 4 + 1 = 4*p. Suppose 5*c - 5*f + 5 = -10, i*f = 4*c + 8. Solve x + 5*d - 5 = 0, 0 = 4*x - 4*d + 3*d + c for x.
0
Let n(d) = d + 26. Let u be n(-7). Let i = -15 + u. Solve i*l = -3*o + 12, -2*o - o + 2*l + 12 = 0 for o.
4
Let v(j) = 317*j**2 + 1 - 19*j - 69 - 318*j**2. Let r be v(-14). Solve -3*f = f - t - 11, r*t + 7 = 3*f for f.
3
Suppose 5*p + 19 + 6 = 0. Let g(c) = -c**2 - 4*c + 11. Let n be g(p). Solve -f - t + 0 = -n, -13 = 2*f - 3*t for f.
1
Let w = 36 + -31. Suppose u - 40 + 35 = 0. Solve -k + v = -5, w*k + u = -4*v - 6 for k.
1
Let s be (6/5)/((-42)/(-105)). Solve -d + 1 = m, 41 = -4*d + s*m + 2*m for d.
-4
Suppose -2*c - 4*i = -6*c - 8, -4*c - 8 = -i. Let l(d) = -d**3 - 2*d**2 + 2. Let u be l(c). Solve -4*q + 2*q - 4 = -u*m, 0 = -m - q - 2 for m.
0
Let u(m) = -m**3 + 11*m**2 + m - 11. Let h = 28 - 24. Let k(r) = r**2 - 5. Let w be k(h). Let q be u(w). Solve 2*i - 15 + 5 = -4*b, -3*b - 4*i - 5 = q for b.
5
Suppose 8*b = 10*b - 8*b. Solve 0 = 3*c - 4*h - 3, b*c + 4*h = -5*c + 5 for c.
1
Suppose -4*f = 241 - 253. Solve -5*x - 5*j - 25 = 0, 0 = -2*j + f*j + 2 for x.
-3
Suppose 0 = -0*i + 10*i - 370. Let y = i - 33. Solve f - 4*l = y, 0 = -2*l - 2 - 0 for f.
0
Suppose 0 = 4*g - 7*g + 24. Let v be ((-8)/(-10))/(g/40). Solve -v*f + 32 = -4*y, -3*f - 11 = 6*y - 2*y for y.
-5
Let d be (3/(-18))/(25/(-3300)). Solve 5*r = -4*a + d, -r - 2*r = 2*a - 12 for a.
3
Let g(n) = -14*n**2 - 2*n - 9. Let u be g(-1). Suppose -j + 31 = 6. Let p = u + j. Solve -p*b = k + 7, -2*k - 4*b + 0 - 2 = 0 for k.
5
Let w = -126 - -139. Solve q - 4*o = -w, -4*q - 2*o + 16 = -o for q.
3
Let w(l) = l + 8. Let n be w(-4). Suppose -n*u + 18 - 6 = 0. Suppose u*g - 15 = -3. Solve -14 = 2*o - 4*b, 14 + g = 2*o + 4*b for o.
1
Let f(i) = i**3 - 8*i**2 + 5*i - 4. Let a be f(8). Suppose 4*p + a = p. Let b = 24 + p. Solve 4*s = k + 3*k - 8, -3*s = b for k.
-2
Suppose -2*u - 13 = -2*v - 3*u, 0 = 5*v + 4*u - 34. Solve -5*g + v = 3*o, 0 = o + 3*o - 3*g - 8 for o.
2
Suppose -g + 28 = g. Suppose 0 = u - 2*u + 3*l + g, 0 = -5*u - 2*l + 2. Solve -5*n + u*s = 8, -n = -5*s + 3*s + 8 for n.
0
Let g(b) = 12*b**2 + b - 1. Let i be g(1). Suppose -i*y + 70 = -2*y. Solve -a + y = 2*n + n, 20 = 5*a for n.
1
Let v be (-704)/9 - 4/(-18). Let j = 80 + v. Solve 15 = -5*i - 5*h, 4*i - j*i + 14 = -4*h for i.
1
Suppose -4*q - 21*f + 18 = -19*f, 4*f = q - 27. Solve -j - 4*j + 2*v - q = 0, 0 = 4*j + 4*v for j.
-1
Let i be (-4)/(-10) + ((-546)/(-35))/6. Solve 4*d - 3*h = -i, 3 + 1 = d + 4*h for d.
0
Let i = -21 + 24. Suppose -3*y - 3 = -5*g + 12, y + i = g. Solve -o + 2*w = -0*w - 11, -g*o = 2*w + 7 for o.
1
Let c = -14 - -31. Let w = c - 3. Let s be 4/w + 30/(-105). Solve k - 7 = -3*o - s, -k + 9 = 5*o for o.
1
Let v(p) = -3*p + 27. Let m be v(8). Solve -5*n + 5*j - 20 = -0, -m*j + 12 = -5*n for n.
0
Let a be 47/9 + (-2)/9. Let d be 5/2*(-294)/(-245). Solve -a*u - 2 = 3*j, -u + d*u = 2*j + 12 for u.
2
Let y(k) = -k**3 + 6*k**2 - 10*k + 10. Let b(w) = -w**3 + 9*w**2 + w - 5. Let p be b(9). Let a be y(p). Solve -i + 4 = l - 2*l, 4 = 2*l + a*i for l.
-1
Let z(g) = -g**2 - 6*g + 4. Let f be z(-5). Let x be 3/18 + (4669/42)/29. Solve -x*w = -3*c - 7, 4 - f = -5*w for c.
-1
Let h be 3 + 0 - (-7)/(-21)*-3. Suppose 2*f - 67 = -f - 5*z, 4*f = 2*z + 72. Solve -h*s - j + 11 = -7*s, 0 = 5*s - 2*j + f for s.
-3
Let j(o) = 6*o + 52. Let n be j(-8). Solve r + g + 2 = -0*r, 5*r - n*g = 8 for r.
0
Let z be (90/(-50) + 2)*115. Solve a = 0, -5*a - z = 5*r - 3 for r.
-4
Let c = 163 - 148. Solve 6*a - 2*a - j - 18 = 0, 5*j = 5*a - c for a.
5
Let v(f) = -f**3 + 3*f**2 + 5*f. Let q be v(4). Solve 0 = q*b - 0*b + 3*y + 2, -5*y + 10 = 0 for b.
-2
Let o = 400 - 399. Solve -d + 12 = -3*m, 0 = 2*d + 3*m - 4*m + o for d.
-3
Let n be 1/(-2)*(-90 - -24). Suppose -4*k = -i - 31, 2*k + 0*i = -3*i + n. Solve -7*c = -4*u - 3*c + 12, -k = -2*u + 5*c for u.
2
Let h(s) be the first derivative of 3*s**2/2 + 23*s - 12. Let n be h(-7). Solve 2*l = -n, -6*l - 12 = 2*a - 4*l for a.
-5
Let d be (-69)/4*(-72)/(-27). Let s be d/(-14) + 6/(-21). Solve -2*y = -s*f - 17, -2*f - 8 = -3*y + 5 for y.
1
Let a = 2 + 2. Suppose w + a*w = 5. Suppose -46*y = -146*y + 300. Solve -4*h + 3*h + w = -y*j, 19 = 4*h + 3*j for h.
4
Let v be (-17)/(-17) + 3/(3 + 0). Solve 5*b - 3*b - 3*q = -13, -v*b + 2*q - 8 = 0 for b.
1
Suppose -13*a - 6 = -8*a + 3*r, 4*a - 4*r = 8. Solve 2*q = a, -4*q + 3 = -3*c + 2*c for c.
-3
Let n = -39 - -41. Let c be 0/(n - 6) + 0 + 2. Solve 5*y = 3*y, c*x - 2*y = -4 for x.
-2
Let f = -491 - -491. Suppose 5*r + 2 = 17, 0 = -5*i + 4*r - 52. Let b = -3 - i. Solve t + 5*v - 4 = 2*v, 4*t + b*v - 16 = f for t.
4
Let p(t) = 4*t**3 + 4*t**2 + t - 8. Let o(s) = s**3 - s - 1. Let v(y) = 3*o(y) - p(y). Let b be v(-4). Solve 0*i - i + 1 = 4*c, c = 4*i - b for i.
5
Let c(h) = h**3 + 4*h**2 + 4*h + 2. Let o be c(-3). Let b be 4*(o - (-6)/4). Suppose -4*q + 5*q = b. Solve 4*f = m + 8, -2*f = -4*m + q*m - 10 for f.
1
Let n be 1/(-7)*-2 + 12/7. Solve 3*f - o + 7 = 18, n*f + o + 1 = 0 for f.
2
Suppose 0 = 27*d - 9*d - 72. Solve 0 = -5*c - 2*h + 2 + 7, -2*c + d*h - 6 = 0 for c.
1
Let g(m) = -m - 5. Let s(q) = q**3 - 8*q**2 - 7. Let c be s(8). Let d be g(c). Let h = -9 + 12. Solve -h*t - 4*a - 23 = 0, 0*t = -d*t + 3*a - 4 for t.
-5
Let r(b) = -4*b - 47. Let k be r(-13). Solve k*d + 5*z = 6*z - 7, 5*z + 19 = -2*d for d.
-2
Let n be -2 + 3 - (1 + -3). Let k(w) = 11*w**3 + w**2 + 6*w - 5. Let m be k(2). Suppose -m = -0*l - 9*l. Solve -d + 0*x = x - 4, -4*d - n*x = -l for d.
-1
Suppose -8*g + 186 = 146. Let p(o) = -o**2 + 3. Let x be p(0). Let f = -4 - -10. Solve g*q + 3*s + 13 = -f, x*q = -3*s - 9 for q.
-5
Let z(m) = m**3 - 6*m**2 + 6*m - 3. Let l be z(5). Suppose -l*g = -10 - 2. Solve 3*s - 14 = -k + g*k, k - 6 = 5*s for s.
-2
Let o be (2 + 14/8)*20/3. Suppose 46 = -4*z - 2*l, 0 = -z - 0*l - 2*l - 7. Let d = 13 + z. Solve 2*y + 3*b + 14 = d, -b - o = 5*y + 4*b for y.
-1
Suppose -5*y + 11*o + 8 = 7*o, 7 = -2*y + 5*o. Solve 3*a + 2*l = -a - y, 4*a = 4*l - 4 for a.
-1
Let n(b) = -b**3 + 5*b**2 - 4*b - 1. Suppose 2*u + 5*g + 22 = u, 3*g + 3 = -4*u. Let z be n(u). Solve 3*t - 14 = k, -3*t - z*k + 12 - 28 = 0 for t.
3
Let s be ((-3)/(-2))/((-33)/(-66)). Solve 2*k - s*q = 5*k, 3*k + q + 2 = 0 for k.
-1
Let a(c) = 36*c - 1292. Let q be a(36). Let f = 0 - -5. Suppose -4*n - n = 0. Solve b - 10 = -v, n*b = -q*v + f*b - 5 for v.
5
Suppose 5*z = -5*x + 30, x + 15 = 4*z + 1. Solve -2*i + x*t = 10, -2*i - 3*t + 8 + 2 = 0 for i.
-1
Let q(a) = a**3 - 7*a**2 + 8*a - 8. Let x = 21 - 15. Let y be q(x). Solve -2 - y = 2*u + 2*d, 5*u - 1 = -d for u.
1
Suppose -2*n = -168 + 80. Let g = n - 43. Solve 3*z = -3*v + 6, g - 19 = -v - 5*z for v.
-2
Suppose -81 = 3*y + 3*d - 144, -4*d = 0. Solve -2*v = -3*n - y, 6*n = 2*n + 4*v - 32 for n.
-5
Let v = 2 + 0. Let o(n) = -n**2 + 9*n - 2. Let g be o(6). Let k be 124/g - (-6)/(-8) - 2. Solve 4*d - v*t = -30, 3*t = -5*d + k*t - 35 for d.
-5
Let v(w) = -w**3 - 2*w**2 - 6. Let l be v(-3). Solve -h - m = 4*m - l, -5*m = 2*h - 1 for h.
-2
Let i(g) = g - 15. Let n be i(6). Let x be 30/n*(-72)/15. Suppose j + 4*r = 4*j - 25, -4*j + r = -x. Solve 0 = j*u + 9, 2*u + 14 = 4*k - 4 for k.
3
Suppose 0*z + z - 4*z = 0. Solve -2*a + 3*d - 8 = z, -a - 6 = -d - 4 for a.
2
Suppose -v - 4*x = 10, 157*v - 7 = 155*v + x. Solve -5*y - | {
"pile_set_name": "DM Mathematics"
} |
**5 - 5/28*v**8 - 29/42*v**7 + 0*v**4. Determine j, given that h(j) = 0.
-2, -2/3, 0, 1/4
Let z(j) = j**2 + 258*j - 3844. Suppose -5*w = -s + 24, 3*s + w = 16 - 8. Let d(m) = -256*m + 3844. Let y(g) = s*z(g) + 5*d(g). Factor y(k).
4*(k - 31)**2
Let i(y) be the first derivative of y**6/24 - 3*y**5/40 - 13*y**4/32 + 11*y**3/8 - 25*y**2/16 + 3*y/4 + 6676. Let i(u) = 0. What is u?
-3, 1/2, 1, 2
Suppose 4*g = -3*f + 352, -3*g - 2*f = -395 + 130. Find r such that -110*r**3 + 4*r**5 + 68*r**3 + 324*r + 80*r**4 + 720*r**2 + 423*r**3 + g*r**3 = 0.
-9, -1, 0
Suppose -14 = -5*s + 1. Suppose 4*c = 2*b + 12, 4*c - 3 = 3*b + 7. Let 13/2*x**b + 0 + 9/2*x**4 + x + 10*x**s = 0. What is x?
-1, -2/9, 0
Factor 83*o**2 + 0 - 3*o**4 - 164*o**2 - 27*o**3 + 2 - 81*o - 2.
-3*o*(o + 3)**3
Let d = 1530 + -1525. Let l(i) be the third derivative of -2/33*i**3 + 0*i - 6*i**2 - 1/33*i**4 + 0 - 1/132*i**d - 1/1320*i**6. Factor l(v).
-(v + 1)*(v + 2)**2/11
Let b be -13*(-28)/(-182)*(18 + -20). Let 30*s**2 + 37/2*s**3 + 0 + 1/2*s**5 + 5*s**b + 18*s = 0. Calculate s.
-3, -2, 0
Let p be 2686/(-153) + 17 + 5 + -2. Determine b so that -26/9*b**3 - 46/9*b**2 + 0 - 2/9*b**4 - p*b = 0.
-11, -1, 0
Factor 3/5*b**3 + 96/5*b**2 + 768/5*b + 0.
3*b*(b + 16)**2/5
Let r(i) be the first derivative of 2*i**3/15 - 1158*i**2/5 + 3996. Factor r(n).
2*n*(n - 1158)/5
Let v(w) be the first derivative of -w**3/24 + 21*w**2/16 - 49*w/4 + 6704. Let v(s) = 0. What is s?
7, 14
Let -31*l + 25*l**2 - 23*l + 123 - 28*l**2 - 174 = 0. Calculate l.
-17, -1
Let p = -1066299/100 - -10663. Let t(q) be the second derivative of 1/20*q**4 + 0*q**2 + 0 + p*q**5 + 1/15*q**3 - 35*q. What is d in t(d) = 0?
-2, -1, 0
Factor 0 + 8/5*a**2 - 8/5*a - 2/5*a**3.
-2*a*(a - 2)**2/5
Let b(o) be the third derivative of 0 + 0*o - 1/630*o**5 - 19/252*o**4 + 20/63*o**3 + 183*o**2. Solve b(j) = 0 for j.
-20, 1
Let k = -43450 - -217251/5. Solve -2/5 + 1/5*r**3 - k*r + 2/5*r**2 = 0.
-2, -1, 1
Let l(n) = 141*n**3 + 9*n**2 - 393*n - 261. Let g(p) = -p**4 - 2*p**3 - 2*p - 3. Let f(a) = 3*g(a) + l(a). Factor f(q).
-3*(q - 45)*(q - 2)*(q + 1)**2
Let b = -218 + 220. Let i(t) be the second derivative of 0*t**b - 1/270*t**6 - 5/108*t**4 - 1/27*t**3 - 1/45*t**5 + 0 - 14*t. Factor i(q).
-q*(q + 1)**2*(q + 2)/9
Let v(f) be the third derivative of 9*f**2 - 13/36*f**4 + 1/315*f**7 - 7/90*f**5 - 2/3*f**3 + 0 - 2*f + 1/180*f**6. Let v(i) = 0. Calculate i.
-2, -1, 3
Let m = 383 - 204. Suppose -a + 3*a - m = q, -15 = 3*q. Factor -46*b - 45*b**2 + 7 - a - 5*b**3 - 74*b.
-5*(b + 1)*(b + 4)**2
Let b = -949/5 - -190. Let m be (-1)/15*(1 - 8 - -4). Factor 2/5 + m*a - b*a**2.
-(a - 2)*(a + 1)/5
Let z(r) = 104*r**2 - 2*r**3 - 119*r + 30*r - 19 + 121 - 15*r. Let n be z(51). Let n - 2/7*j**2 + 2/7*j = 0. What is j?
0, 1
Solve -662116/3*g**3 - 4406828*g**2 + 582080/3*g - 6400/3 - 8281/3*g**4 = 0 for g.
-40, 2/91
Let o = -5529/7 + 790. Let p(f) be the third derivative of f**2 + 13/210*f**5 - 11/84*f**4 - 1/84*f**6 + o*f**3 + 0*f + 0. Suppose p(q) = 0. What is q?
3/5, 1
Factor 11936/3*z - 3256/9 - 10934*z**2 - 242/9*z**3.
-2*(z + 407)*(11*z - 2)**2/9
Let i be 4/2*(-13)/(-41 - 11). Let d(w) be the second derivative of 0*w**2 + 0 - 1/10*w**6 + i*w**4 - 3/20*w**5 - 10*w + 0*w**3. Factor d(g).
-3*g**2*(g - 1)*(g + 2)
Let a(u) be the first derivative of -2*u**5/15 + 71*u**4/18 - 350*u**3/27 + 149*u**2/9 - 28*u/3 + 2736. Find o, given that a(o) = 0.
2/3, 1, 21
Let g = -381 - -391. Let p be (-14 + (-384)/(-30))/((-4)/g). Factor -1/4*z**3 - 4*z - 7/4*z**2 - p.
-(z + 2)**2*(z + 3)/4
Suppose -25*d + 10 = -26*d. Let o be 1/2 - 155/d. Factor -24*m - 25*m**2 + 0*m**3 + 37*m**2 + o - 2*m**3.
-2*(m - 2)**3
Let l(a) be the first derivative of a**6/1260 + a**5/105 + a**4/21 - 32*a**3 - 112. Let v(y) be the third derivative of l(y). Factor v(o).
2*(o + 2)**2/7
Let v be ((-18)/45)/((-78)/65)*123. Let q(j) be the second derivative of -5/6*j**3 + 1/12*j**4 + 0 - 3*j**2 + v*j. Suppose q(l) = 0. What is l?
-1, 6
Let j(c) = -8*c**2 - 3890*c - 1897400. Let p(l) = -l**2 + l - 8. Let u(x) = j(x) - 6*p(x). Let u(k) = 0. What is k?
-974
Let r(n) = -n**2 - n - 1. Let v(j) = 3*j**2 - 12*j + 50. Let x(u) = 2*r(u) + v(u). Let h be x(8). Factor h + 1/4*d**4 + 3/4*d**2 + 1/4*d + 3/4*d**3.
d*(d + 1)**3/4
Suppose 4*z = -8, 5*h - 86 = 2*z + 8. Determine r so that -84*r - 4*r**2 + 18*r - 144 + 0*r**2 + h*r = 0.
-6
Let d(g) be the third derivative of 1/135*g**7 - 1/378*g**8 + 0*g + 1/27*g**3 + 43*g**2 + 0 + 1/54*g**4 - 4/135*g**5 + 1/270*g**6. What is j in d(j) = 0?
-1, -1/4, 1
Let r = 87191 + -612144/7. Let n = r + 259. Factor -11/7*d - 2/7 + n*d**2.
(d - 2)*(6*d + 1)/7
Let i(g) = -9*g**2 - 3. Let x be i(3). Let o = -71 - x. Suppose q**5 + 9*q**2 - q + 2*q**2 - o*q**2 + 2*q**4 = 0. Calculate q.
-1, 0, 1
Let f(m) be the third derivative of -6*m**2 + 1/36*m**6 + 0*m**3 + 0*m + 4/315*m**7 + 0*m**4 + 7 + 1/504*m**8 + 1/45*m**5. Factor f(u).
2*u**2*(u + 1)**2*(u + 2)/3
Suppose -2*z = -0*z + w - 59, 81 = 3*z + 4*w. Factor -600*m - 1875 - 44*m**2 - z*m**2 + 27*m**2.
-3*(4*m + 25)**2
What is r in -2/21*r**3 + 92/21*r**2 + 502/21*r + 136/7 = 0?
-4, -1, 51
Let j(p) = -p**3 + 3*p**2 + 5*p - 2. Let y be j(4). Let f = 159 - 157. Suppose -7 + f*x**3 + y*x**2 - 6*x**2 + 7 = 0. Calculate x.
0, 2
Let g(k) = 9*k**3 - 51*k**2 - 184*k - 192. Let l(z) = -2*z**3 + 2*z**2 + 1. Let m(s) = g(s) + 4*l(s). Find a, given that m(a) = 0.
-2, 47
Let s(i) be the third derivative of i**6/80 - 281*i**5/360 + 517*i**4/72 - 6*i**3 + 2014*i**2. Suppose s(r) = 0. What is r?
2/9, 4, 27
Factor -45*p + 702/5 - 3/5*p**2.
-3*(p - 3)*(p + 78)/5
Let j be ((-22)/6 - -4)*(-48)/(-2). Let q = j - 0. Factor q*h**2 + 16*h + 0*h + 3*h**4 + h**4 + 0*h**4 - 12 - 16*h**3.
4*(h - 3)*(h - 1)**2*(h + 1)
Factor 5*r**5 - 22*r**2 + 18*r**3 + 47*r**3 - 38*r**4 - 126*r**3 + 4*r**2.
r**2*(r - 9)*(r + 1)*(5*r + 2)
Let v = 587 + -368. Let f be ((-30)/50)/(-1 - v/(-225)). Find i such that -5*i**2 + 10*i**4 - 5 - f*i**3 + 45/2*i = 0.
-1, 1/4, 1, 2
Let g(i) be the third derivative of -i**6/660 + 9*i**5/110 - 38*i**4/33 + 80*i**3/11 + 2*i**2 + 109*i - 15. Factor g(z).
-2*(z - 20)*(z - 4)*(z - 3)/11
Let w be (-6)/(20/40 - (-7 - 273/(-28))). Determine g, given that 0 - w*g**2 - 1/3*g**3 + 0*g = 0.
-8, 0
Let s(b) = -4*b**3 + 702*b**2 + 7418*b + 18800. Let a(q) = 5*q**2 + q. Let r(u) = -2*a(u) - s(u). Factor r(i).
4*(i - 188)*(i + 5)**2
Factor 10941842/9 + 9356/9*q + 2/9*q**2.
2*(q + 2339)**2/9
Suppose 3*m = 6, 5*c - 2*m - 2572 = c. Let f be -5*(6 - c/105). Determine u, given that -2/3*u**2 + 0*u + f = 0.
-1, 1
Let k(x) be the second derivative of x**4/12 + 71*x**3/6 + 35*x**2 + 1662*x - 2. Solve k(v) = 0.
-70, -1
Let -1041124/3*n**3 - 2885/6*n**4 + 0*n - 1039682/3*n**2 - 1/6*n**5 + 0 = 0. What is n?
-1442, -1, 0
Let 5/2*x**2 - 1495*x + 447005/2 = 0. What is x?
299
Let x = -12 - -15. Let v(a) = -a**2 + 7*a + 2. Let m be v(x). Factor -44*t**2 - 175*t + 19*t**2 - 111 - 30*t**2 - m - 5*t**3.
-5*(t + 1)*(t + 5)**2
Factor -u**2 - 4*u**3 + 116*u + 1643 - 536 - 452 - 535 - 7*u**2.
-4*(u - 5)*(u + 1)*(u + 6)
Let u(f) be the third derivative of -f**5/75 + 593*f**4/30 + 396*f**3/5 - 9*f**2 - 36. Factor u(q).
-4*(q - 594)*(q + 1)/5
Let a = -234 + 232. Let k be (45/(-12))/(-5 - a) - 1. Find n such that k*n**4 + 1/4*n**2 + 0 + 0*n + 1/2*n**3 = 0.
-1, 0
Factor -641 + 63*r + 67*r + 177 + 343*r + 452*r**2 - 8*r**3 + 231*r.
-4*(r - 58)*(r + 2)*(2*r - 1)
Let l = -10 - -12. Determine w, given that 18 + 0*w**2 - 2*w**l - 38*w + 2 + 20*w = 0.
-10, 1
Let j(l) be the third derivative of -l**5/270 + 37*l**4/27 + 149*l**3/27 - l**2 + 204*l - 5. Factor j(x).
-2*(x - 149)*(x + 1)/9
Suppose 69*j - 79*j - 20 = 0. Let v be (j + (-11)/(-5))/(15/30). Factor -v*t**2 - 4/5*t**3 + 2/5*t**4 + 0 + 4/5*t.
2*t*(t - 2)*(t - 1)*(t + 1)/5
Let l be (4 + -1 - 3)/((-1)/1). Suppose l*o + 243 = 3*o. Find h, given that 40 + 41 + o*h + 5*h**3 - 2*h**3 + 27*h**2 = 0.
-3
Let c = 219556/77 + -31164/11. Factor 0*x**3 - 60/7 - 72/7*x**2 + 4/7*x**4 + c*x.
4*(x - 3)*(x - 1)**2*(x + 5)/7
Let i(k) be the second derivative of -k**5/150 + 2*k**4/15 + 4*k**3/3 + 36*k**2 - 79*k. Let r(x) be the first derivative of i(x). Factor r(j).
-2*(j - 10)*(j + 2)/5
Suppose 35*l = 2112 + 58. Suppose -l*g**3 + 4*g**2 + 64*g**3 + 17*g**5 - 4*g** | {
"pile_set_name": "DM Mathematics"
} |
h - 15 = 0 for t.
1
Solve 26 = -6*n + 2*n + 2*l, -12 = 3*n + l for n.
-5
Solve -d = 2*c - 3, d + 18 = -d + 2*c for d.
-5
Solve -2*g - 2 = y - 9, 4*y + 22 = 2*g for g.
5
Solve -5*a = 5*i - 15, -3*a = -2*a + 4*i + 6 for a.
6
Solve 5*j + 5*q - 35 = 0, -4*q + 109 = -5*j + 99 for j.
2
Solve -l = 5*u - 30 + 7, 3*l = 9 for u.
4
Solve -4*n = -5*k - 27, k - 9 = 3*k - n for k.
-3
Solve 32 = -3*d + 5*o + 7, -16 = 2*d - 3*o for d.
-5
Solve -4*k + 2*r - 6 = 0, 0 = -k - r - 9 for k.
-4
Solve 3*h + 19 = 2*h + 4*q, 0 = 3*h + 5*q - 11 for h.
-3
Solve 21*s - 16*s = -3*w + 13, -s - 4*w = 11 for s.
5
Solve 3*q - 5*a + 14 = 18, -q + 2*a + 2 = 0 for q.
-2
Solve -4*d = 4*t - 32, -9*d + 10*d = 5 for t.
3
Solve 2*d + t = 8, 48 = -4*d + 4*t + 64 for d.
4
Solve 3 = -3*o - 4*q + 6, -5*q = 4*o - 3 for o.
-3
Solve 0 = -97*i + 95*i - 4*w, -2*i - w + 6 = 0 for i.
4
Solve -x + 0*x - 3 = m, m = 0 for x.
-3
Solve j + 86 - 102 = -5*c, 2*c = 3*j + 3 for c.
3
Solve 0 = -j + 3*z + 14, -5*z - 19 = -2*j + 4 for j.
-1
Solve 4*b + 2*i = 3*b - 4, -b - 4*i - 8 = 0 for b.
0
Solve -5*f = 3*i + 20, -5*f + 5*i - 2 = 18 for f.
-4
Solve 0 = -n - 60*b + 57*b - 10, -4*b - 12 = 0 for n.
-1
Solve z = 4*r + 5*z + 12, -23 = r + 5*z for r.
2
Solve 35*f = 40*f + 25, 2*k + 4*f + 20 = 0 for k.
0
Solve -3*c = r + 24 - 7, -5*c - r = 31 for c.
-7
Solve 0 = 5*p - 3*a - 25, -p + 2*a = -3 - 2 for p.
5
Solve 4*g + 14 = 2*k, 4*k - 6*g + 10*g + 20 = 0 for k.
-1
Solve -6 - 6 = -6*x + 4*k, 3*x - 6 = -5*k for x.
2
Solve -20 = -4*j + 4*h, 8*j + 3*h + 15 = 3*j for j.
0
Solve b = -5*t + 13, 0*t + 5 = 3*t + 2*b for t.
3
Solve y = 5, -2*d - 3*y - 26 = -7*y for d.
-3
Solve 2*r - 3 = 18*s - 15*s, 5*r - 5*s = 0 for r.
-3
Solve 5*m = -4*y + 40, 0 = 3*y + 2*m + 62 - 85 for y.
5
Solve 46*o - 44*o - 5 = m, m + 11 = 4*o for o.
3
Solve -4*w - 3*q + 23 = 0, -2 + 27 = 5*q for w.
2
Solve 4*h - 23 = 5*x + 3*h, 4*h = 12 for x.
-4
Solve -16*o + 11*o + s = 20, -5*o - 20 = -5*s for o.
-4
Solve -5*m = -4*z + 17, 14 = 4*m - 6*m + 4*z for m.
-1
Solve -12*m = -8*m - 2*f + 4, 20 = -5*f for m.
-3
Solve -11*i + 4 = -2*k - 9*i, 0 = -i for k.
-2
Solve 0 = s + 22*z - 19*z + 10, 0 = 2*s - 4*z - 30 for s.
5
Solve 2*j - 7 + 23 = 5*m, 0 = -3*m + 5*j + 21 for m.
2
Solve 4*h - 5*p = 22, 0 = 3*h - 4*p - 16 - 1 for h.
3
Solve -5*k + 12 = -2*s, 4*s - 106 + 102 = -4*k for s.
-1
Solve 2*c + 1 = 3*w, c - 2*c + 7 = w for c.
4
Solve 0 = 5*l + 2*w - 11, 3*w + w + 17 = 3*l for l.
3
Solve -3*y - 31 = -4*f - 6, y - 4*f = -19 for y.
-3
Solve -c + 0 = -5*q - 8, 4*c = 4*q for c.
-2
Solve -z - z + 12 = -5*g, 5*z + 4*g + 36 = 0 for z.
-4
Solve 5*y + 2*x = 20, 3*x = 3*y + 8 + 1 for y.
2
Solve -43*k + 45*k - t - 19 = 0, 15 = -3*t for k.
7
Solve 2*q + 4*i = -2, -51*q + i = -46*q - 17 for q.
3
Solve -4*z - 13*u + 8*u - 25 = 0, 2*z = -5*u - 25 for z.
0
Solve -4*n - 20 = -4*v, 5*n + 15 + 9 = 4*v for n.
-4
Solve -2*g - 10 = -2*v, 3*g - 21 = -5*v + 4*g for v.
4
Solve -3*x = 4*f + 19, -3*x - 3*f - 6 = 9 for x.
-1
Solve -2*c - 9 = m, -14*m = 3*c - 15*m + 16 for c.
-5
Solve -10 = 3*r - 5*m, 25 = -0*r - 4*r - 5*m for r.
-5
Solve -b = h + 1, 14 - 2 = -2*b + 3*h for b.
-3
Solve -15 = 5*r, -2*g - 13*r + 15*r = 0 for g.
-3
Solve 0 = 4*z + 5*k - 21, 5*k - 9 = -z - 0*k for z.
4
Solve 4*r - 3*m = -16, -3*r + 8*r = -4*m + 11 for r.
-1
Solve -15 = 4*g - g, 4*r = 3*g + 27 for r.
3
Solve 0 = -2*m - 4*g - 15 + 23, 0 = 4*m - 2*g - 16 for m.
4
Solve -5*d - 20 = 4*a, 6*a + 20 = 2*a for d.
0
Solve -3*p - u = -2, -6*u = 5*p - 3*u - 10 for p.
-1
Solve 12 = -0*z + 4*z, 2*s + 3*z = 11 for s.
1
Solve -2*r = -6, 4*r - 24 = -4*k + k for k.
4
Solve -2*h = 3*h + 4*a - 17, -5*h + 11 = 2*a for h.
1
Solve -o + 5 = 5*s, -20 = -4*o - 5*s + 4*s for o.
5
Solve -2*k - 44 + 46 = 2*h, 7 = -h - 3*k for h.
5
Solve -8*l - 4*a - 20 = -6*l, -2*l = a + 5 for l.
0
Solve -16*s + 5*x = -19*s - 8, s + 3 = -2*x for s.
-1
Solve 4*d - 5 = -u, -5*d = -4*u - u for u.
1
Solve 0 = -5*n - k - 4*k - 15, 4*n - 4*k = 20 for n.
1
Solve 0 = -3*v + 5*v + 3*l - 5, -3*l = v - 10 for v.
-5
Solve -2 = -2*q - 6*u + 4*u, -u + 5 = 2*q for q.
4
Solve -5*x = -u + 4, -21*u = -x - 19*u - 8 for x.
0
Solve -3*x - 7 = -4*z, 5*x - 3*z + 26 = 7 for x.
-5
Solve -23*p + z = -27*p, 0 = 5*z for p.
0
Solve -5*a - 28 = t - 3*t, 4*a - 5*t + 36 = 0 for a.
-4
Solve -1 = -3*h + 5*x - 11, -3*h - 8 = -4*x for h.
0
Solve -4*n = 5*x + 18, -2*x + 24 = -4*n - 8 for x.
2
Solve -b + 1 = 2*y, -4*y = b - 3*b - 14 for y.
2
Solve s = k - 1 - 6, 5*s = -2*k for k.
5
Solve 2*t + 1 = l, -5*t - 1 = -3*l - 0*l for t.
-2
Solve 1 = -5*h - 11*x + 7*x, 18 = -2*h - 6*x for h.
3
Solve 3*s - h + 9 = 22, -3*s - 3*h = -9 for s.
4
Solve 5*t + 8 - 33 = 0, 2*q + 3*t = 27 for q.
6
Solve 6*o - 25 = o, 5*o - 45 = -5*i for i.
4
Solve 5*u - 2*p = 2*p - 35, 0 = 4*u + 2*p + 2 for u.
-3
Solve d - 3*n - 8 = 6, 0 = 2*d + 5*n + 5 for d.
5
Solve i = -3*s + 9*s - 29, 0 = -5*i + 2*s - 33 for i.
-5
Solve 3*v = -5*a + 14, 20 = 4*a + 2*v + 8 for a.
4
Solve -5*m - 3*f = -0*m - 16, 2*f - 2 = m for m.
2
Solve 2*c = -5*v - 6, -100 = -v + 2*c - 106 for v.
-2
Solve -3*j = 3*g + 21, 0 = 5*j - 8*g + 3*g - 5 for j.
-3
Solve -2*s = -5*u + 22, 2*s + 0 = -u + 2 for u.
4
Solve -20 = 5*r - 5*b, 0 = 5*r + 5*b + 10 for r.
-3
Solve -2*m + 2 = 0, -5*m + 2*m + 15 = 3*u for u.
4
Solve 2*b - 188 = -q - 187, 5*b - 2*q = -20 for b.
-2
Solve -3*j = -3*b + 6, -2*j = -8 + 6 for b.
3
Solve 0 = -r + 4*c - 5 + 7, 0 = 4*r + 5*c + 13 for r.
-2
Solve 5 = 3*d + x + 2, 0 = 5*d - 3*x - 19 for d.
2
Solve 0 = 5*h - b + 21, -2*h - 2*b - 18 = -0*h for h.
-5
Solve -8*k + 3*k = -15, -5*y + 8 = k for y.
1
Solve 0 = 5*d - r - 23, 12*d - 43 = 3*d + r for d.
5
Solve 4*g - 2 = -2*r, 5*r + 8*g = 11*g - 21 for r.
-3
Solve 3*f - 23 = 2*h, 2*h + 14*f - 17 = 9*f for h.
-4
Solve -4*g + 4 = 2*i + 2, 3*g - 9 = -3*i for i.
5
Solve -3*c - 5*v = 9, -2*v - 3 - 5 = -c for c.
2
Solve -4*l + 16 = -4*x, -2*x + 8 + 0 = 2*l for l.
4
Solve 0 = -6*s + 4*s - 6, -2*s = -5*b + 31 for b.
5
Solve -3*q + 28 = -4*l, 12*q - 17*q - 3*l + 8 = 0 for q.
4
Solve -2*q - 10 = 3*k + 2, -3*q = -5*k - 1 for k.
-2
Solve -4*o + d = 13, -4*o - o - 23 = d for o.
-4
Solve -3 - 5 = -2*y, -2*y = 2*o - 8 for o.
0
Solve 2*a + 18 = -v - v, -5*a + 4*v + 36 = 0 for a.
0
Solve v - 4 = -p, 7*v = 10*v - 5*p - 4 for v.
3
Solve t - 3*h = 11, 11 = 3*t + 4*h + 43 for t.
-4
Solve -2*p + 4*b = -6*p + 8, 0 = 2*p + b for p.
-2
Solve -4*w - 4*a = -5*a - 7, -a = 5*w - 20 for w.
3
Solve -f - 5 = -4*m, -m - 1 = -2*f - 4 for m.
1
Solve 3*m + 48 = 4*a, -2*m - 69 + 25 = -4*a for a.
9
Solve 2*d - 10 = -5*w, -d = -11*w + 16*w - 10 for d.
0
Solve -10 = 5*b - 2*j, 6*b = b + j - 10 for b.
-2
Solve 7*h - 5*u - 1 = 0, -h + 4*u - 2 = 11 for h.
3
Solve 0 = -5*k + 9*c - 5*c - 12, -c + 3 = -4*k for k.
0
Solve -3*l + 24*s - 1 = 20*s, -3*l - s = -4 for l.
1
Solve 0 = -3*q + 5*z + 13, -5 - 5 = 5*z for q.
1
Solve -3*o + 2*v + 74 - 72 = 0, v - 2 = 0 for o.
2
Solve 5*h = -13*x + 9*x - 15, 4*x = -3*h - 17 for h.
1
Solve 0 = 4*h + 3*b - 39, -4*b = -h - 0*b - 14 for h.
6
Solve 4*w - 41 = 5*d, 3*d = -172*w + 168*w + 1 for d.
-5
Solve 0 = m - 3*v - 7, -m - 4*v - 24 + 17 = 0 for m.
1
Solve 4*z = 3*p - 8, -26*p = 2*z - 28*p + 2 for z.
-5
Solve -3*b + 9 = 0, -2*b = -4*v + 2*b - 16 for v.
-1
Solve k - 3*w - w + 20 = 0, 5 = 3*k + w for k.
0
Solve -59*f + 64*f = t - 25, 0 = 4*t + 5*f + 25 for t.
0
Solve r = 4*l - 4*r - 12, l = -r + 3 for l.
3
Solve -3*t = 4*u + 16, u = 5*t - 13 + 9 for t.
0
Solve -a - 4 = 0, p + 3*p = 5*a + 28 for p.
2
Solve 4*x - 2*n = 140 - 156, -x + 3*n + 1 = 0 for x.
-5
Solve -2*c + 11 = 2*l - 3*c, -2*c = l + 2 for l.
4
Solve 3*t - 3 = -4*k, -3*k - 5*t - 27 = -43 for k.
-3
Solve -3*w - 19 = -2*h, 0 = 5*h - 2*w + 6*w - 13 for h.
5
Solve -h - 5*g = 7, g + 7 = 6 for h.
-2
Solve 9 = o - 9*j + 12*j, 0 = -o + 3*j - 9 for o.
0
Solve -4*y = -6*v - 46, -5*y + 33 = -2*v + 3 for y.
4
Solve 5*f - 37 = 2*l - 15, 0 = -3*f + 4*l + 16 for f.
4
Solve 4 = u + 5*b, 0 = 3*u - 2*b + b - 12 for u.
4
Solve 2*m + 5*i = -2*m - 33, 0 = -4*i - 20 for m.
-2
Solve 26 - 36 = -2*k + 5*w, -4*k = -5*w - 10 for k.
0
Solve d + 13 = 5*a + 9, -3*a + 4 = -d for d.
-4
Solve -p = l - 8, -5*p + 28 = 4*l - 7 for l.
5
Solve -4*i + 2*y = 26, i + 6*y - 7 = 2*y for i.
-5
Solve 5*m = h - 13, -10*m - 11 = h - 7*m for h.
-2
Solve n = -3*y + 19, -4*y + 5*n + 4 = n for y.
5 | {
"pile_set_name": "DM Mathematics"
} |
common denominator of 21/8 and l?
40
Suppose -3*k - 45 = -5*l + k, -3*k - 9 = -l. Let t = -39/28 + -461/252. What is the common denominator of l and t?
9
Suppose 4*g + 5*c + 138 = 793, 0 = 2*g - c - 317. What is the smallest common multiple of 6 and g?
480
Suppose 0*d - 414 = -5*p - 3*d, -4*p + 315 = -3*d. Let g = -6942 + 6951. Calculate the lowest common multiple of g and p.
81
Suppose n - 62 = -3*u, -2*n = 4*u - 21 - 95. Let r = n - 26. Calculate the smallest common multiple of 6 and r.
24
Let j = 115005 + -11040617/96. What is the common denominator of -45/64 and j?
192
Let p be (-50)/10 - (1 + -3). Find the common denominator of (-334)/12 + p/(-9) and -91/12.
12
Let b = -436 - -443. What is the lowest common multiple of 55 and b?
385
Let i be 2*111/6 + (-2)/(-1). Let y = i - 307/8. What is the common denominator of y and -16/57?
456
Let u(q) = q**3 + 8*q**2 + q + 10. Let z be u(-8). Let o(y) = -3 + 4*y - 1 - 5*y**z + y**3 + 12*y**2. Calculate the least common multiple of o(-6) and 16.
16
Suppose 3*t = 2*r - 39, 3*t - 1 = -r - 4. Let l = r + 0. Calculate the least common multiple of 8 and l.
24
Let d = -301 + 323. What is the least common multiple of d and 26?
286
Let m(i) = 13*i - 40. Calculate the lowest common multiple of m(10) and 135.
270
Suppose 379 = 3*o + 337. Calculate the smallest common multiple of o and 35.
70
Let t = -7717 - -864. Find the common denominator of t/(-882) - (-6)/21 and 17/4.
36
Let z = 421/72 + -71/9. Calculate the common denominator of z and 89/30.
120
Let c(w) = w**2 - 8*w + 10. Let a(f) = -f**2 + 10*f - 15. Let n be a(7). Let d = -4 + n. What is the lowest common multiple of c(7) and d?
6
Let i be 10*15/(-20)*-6. Let p = -5 + i. Calculate the smallest common multiple of 20 and p.
40
Let k(a) = 18*a**2 - 5*a + 45. Let c be k(-20). Let t = 117473/16 - c. Find the common denominator of t and 43/4.
16
Calculate the lowest common multiple of 5 and 4/(-10)*630/168*-10.
15
Let i = 458 + -368. Calculate the least common multiple of i and 40.
360
Let z = 1141 + -3473/3. Calculate the common denominator of 167/90 and z.
90
What is the lowest common multiple of -4 - 39/(-2)*2 and 10?
70
Let f(w) = -10*w - 17. Let h be f(13). Let j = h - -259. Calculate the smallest common multiple of 2 and j.
112
Suppose 3*y = -10 - 2. Find the common denominator of -79/4 and ((-2)/y)/((-36)/657).
8
Let c = -27831 - -3673601/132. Calculate the common denominator of -145/96 and c.
1056
Let y = -11 + 10. Let g be y/(1 - (-24)/(-28)). What is the common denominator of -1 and (19/(-60))/(g/28)?
15
Let p(t) be the third derivative of t**5/60 - t**4/8 + t**3 + 8*t**2. What is the smallest common multiple of p(4) and 12?
60
Suppose -q + 22 = 2*c, 9*q + 4*c - 8 = 10*q. What is the least common multiple of 40 and q?
120
Let n = 24 + -17. Suppose -n*v = v + 1960. Calculate the common denominator of -23/6 and (26/100)/((-14)/v).
60
Suppose -3*d + 6 = 5*v - 11, -3*v + 11 = 2*d. Calculate the least common multiple of (v + 0)/(5*(-5)/(-425)) and 8.
136
Let a be (-17 + 0)*1/1. What is the common denominator of a/6*(-1 + 12/(-33)) and -101/2?
22
Let d(t) = t**2 + 4*t - 4. Let m be d(-4). Let r be m/14 - 933714/(-42). Let l = r - 489167/22. Find the common denominator of 77/18 and l.
198
Let g = 155405249/3795 - 40950. Let p = g + -7741/3036. Let o = 3254/7 + -52463/112. What is the common denominator of o and p?
80
Let v(w) = w**3 - 14*w**2 + 14*w - 8. Let k be v(13). Suppose 11 - 16 = -k*j. Let y = -7 - -10. What is the least common multiple of y and j?
3
Suppose 20 = 6*q - q. Suppose -9*v + 567 = 126. Let s = v - 38. Calculate the lowest common multiple of q and s.
44
Let c(k) = -34*k - 78. What is the least common multiple of 5 and c(-7)?
160
Let n = -968 + 969. Calculate the smallest common multiple of n and 159.
159
Suppose 14*w = 7*w + 70. Calculate the smallest common multiple of 148 and w.
740
Let m = 1/7605 + -52391/7605. Calculate the common denominator of 29/40 and m.
360
Suppose -22*p = -20*p - 14. Suppose -p*k + 3*k + 168 = 0. What is the lowest common multiple of 22 and k?
462
Let o = 692/99 - 287/22. What is the common denominator of o and 95/1932?
5796
Let t be (3 + -3)*(2 + -1). Suppose -3*x - x - 120 = t. Calculate the smallest common multiple of (7/(-21))/(1/x) and 6.
30
Let s = 23491/10 + -2337. Let x be -1 + (-1 - 720) + 1. Let l = x + 2847/4. What is the common denominator of l and s?
20
Let k be (-5529 + -1 - 0) + -30 + 28. Let r = -121725/22 - k. Find the common denominator of -71/22 and r.
22
Suppose 2*o + 16505 = 2*w - 897, 3*o = -4*w - 26089. Let l = -156485/18 - o. Let z = 10707/110 - 491/5. Find the common denominator of l and z.
198
Calculate the common denominator of 29/69 and (-939)/(-138) + (45/9 - 11).
138
Let j = 24496795/546 - 44866. Calculate the common denominator of 59/84 and j.
1092
Suppose 0 = -2*v - 106 - 52. Let n = 39 + v. Let u = n + 62. Calculate the least common multiple of 2 and u.
22
What is the lowest common multiple of 146 and (102/(-30) - -3)/(2/(-80))?
1168
Suppose 5*z = 10*z + 10. Find the common denominator of (-381)/(-110) + z/(-5) and 13/18.
198
Let n(r) = 5*r + 8. Let g be n(11). Suppose 37 + g = 5*z. What is the smallest common multiple of z and 8?
40
Let b(o) = -o - 10. Let a be b(-14). Let l be a*7 - (8 + -11). Let y = 43 - l. Calculate the smallest common multiple of 12 and y.
12
Let h be (89 - -1)*2/(-4). What is the common denominator of 59/9 and 1/6*670/h?
27
Let r(i) = -i**2 - 8*i - 3 + i**3 - 2*i**3 - 4*i**2 + 3*i. Let f be ((-5)/2)/(3/6). What is the least common multiple of r(f) and 12?
132
Suppose -i - m = -112, 6*i - 4*m - 206 = 4*i. Let y = i - 2621/24. Calculate the common denominator of 75/8 and y.
24
Let y be 1/3 - (-1136)/48. Let o = y + -23. Calculate the smallest common multiple of o and 9.
9
Suppose -18*k + 5475 = -519. Calculate the lowest common multiple of 54 and k.
1998
Let a = 50 + -41. Calculate the common denominator of -43/14 and (-1 - -78)*(18/4)/a.
14
Suppose 11*y - 5*y + 132 = 0. Let s = -20 - y. Suppose -2*f + 3*n + 32 = -s*n, 5 = f + 3*n. Calculate the smallest common multiple of 1 and f.
11
Let v = -3 + 5. Suppose v*o - 89 = 63. Calculate the common denominator of 31/6 and o/720 - 6/45.
36
Let d = -45/28 + -17/4. Let s = 12637/1645 - 26/235. What is the common denominator of d and s?
7
Let r(d) = d**3 - 28*d**2 + 28*d - 29. Let y be r(27). What is the common denominator of y/(-8) + (-1476)/48 and 1/22?
22
Let j(s) = s**2 + 2*s - 3. Calculate the least common multiple of 7*2/14 - -11 and j(-6).
84
Let m(a) = -a. Let w = 36 - -3. Suppose 0 = -4*u + 5*q - 9, -q - w = 5*u + 2*q. Calculate the least common multiple of 7 and m(u).
42
Let a(n) = -n**3 - 5*n**2 - 3*n - 11. Let j be a(-5). What is the common denominator of -1/3 and j/(-6)*(-3312)/64?
6
Suppose h - 10 = 10. Let y(o) = -o**3 + 7*o**2 - 7*o + 11. What is the lowest common multiple of h and y(3)?
260
Suppose -5*m - 18 = 2. Let s = m + -1. Find the common denominator of -53/6 and (273/28)/(s/(-4)).
30
Let i(m) = -m + 8. Suppose -3*b + 12 = -0*b. Let s be i(b). Calculate the common denominator of 87/10 and s*(3/4 - 3).
10
Let a = 113 + -105. Suppose -a*l - 56 = -15*l. Calculate the least common multiple of 18 and l.
72
Let u = -2/557 + -19483/3342. What is the common denominator of (-4)/(-6) + 61/(-21) and u?
42
What is the common denominator of 47/27 and (-134)/142*(-4)/(-12)?
1917
Suppose 6 = u + 5*y + 1, -y = -5*u + 77. Calculate the lowest common multiple of 20/12 + (-3)/(-9) and u.
30
Suppose 0 = -9*m - 20*m + 3712. Calculate the lowest common multiple of m and 6.
384
Let l = -15001 + 450143/30. What is the common denominator of l and 53/54?
270
Suppose 7*x - 165 = 2*x. What is the lowest common multiple of 0/(-29)*2/(-10) - -30 and x?
330
Let j = 0 + -2. Let t = 4 + j. What is the lowest common multiple of 0/(-1) + (-22)/(-2) and t?
22
Suppose 6*l - 4*g = l - 60, 3*g = -2*l - 47. Let v = 24 + l. Calculate the least common multiple of 14 and v.
56
Let p = -9 + -4. Let k = -6 + p. What is the common denominator of k and 1/(-9 - -2)*(23 + -4)?
7
Let l be (-9)/(-1509)*1 + -3 + 3. Let v = 46773/1006 + l. What is the common denominator of 23/5 and v?
10
Let i be 32 + 2 + -3 + -3. Find the common denomina | {
"pile_set_name": "DM Mathematics"
} |
e highest common divisor of 120 and 1020.
60
What is the greatest common factor of 152 and 57?
19
What is the highest common factor of 328 and 2232?
8
Calculate the greatest common divisor of 40 and 190.
10
What is the greatest common factor of 70 and 80?
10
What is the greatest common divisor of 31 and 124?
31
What is the highest common divisor of 162 and 72?
18
Calculate the greatest common divisor of 168 and 24.
24
What is the greatest common divisor of 319 and 5017?
29
Calculate the highest common factor of 160 and 120.
40
Calculate the highest common factor of 3685 and 330.
55
Calculate the highest common factor of 268 and 938.
134
Calculate the highest common divisor of 72 and 972.
36
Calculate the greatest common factor of 2471 and 7.
7
What is the highest common factor of 819 and 117?
117
Calculate the greatest common divisor of 16 and 1392.
16
What is the greatest common divisor of 70 and 315?
35
What is the greatest common factor of 2020 and 20?
20
Calculate the greatest common factor of 7 and 5103.
7
Calculate the highest common factor of 242 and 638.
22
What is the greatest common divisor of 216 and 162?
54
What is the highest common divisor of 21 and 756?
21
Calculate the highest common factor of 171 and 1292.
19
What is the greatest common factor of 550 and 374?
22
Calculate the highest common divisor of 225 and 495.
45
Calculate the greatest common factor of 1116 and 48.
12
What is the highest common factor of 715 and 1573?
143
Calculate the greatest common divisor of 93 and 992.
31
What is the greatest common divisor of 20 and 30?
10
What is the greatest common factor of 35 and 145?
5
What is the highest common factor of 17 and 8?
1
What is the greatest common divisor of 7640 and 48?
8
Calculate the greatest common divisor of 195 and 1625.
65
What is the highest common factor of 275 and 88?
11
What is the highest common divisor of 15 and 60?
15
What is the highest common factor of 38 and 1178?
38
What is the greatest common factor of 672 and 3920?
112
Calculate the greatest common factor of 363 and 66.
33
Calculate the highest common divisor of 8 and 65568.
8
What is the greatest common divisor of 1617 and 55?
11
What is the highest common divisor of 585 and 555?
15
What is the highest common factor of 1490 and 3874?
298
What is the highest common factor of 497 and 14?
7
Calculate the greatest common divisor of 184 and 253.
23
Calculate the greatest common divisor of 4 and 10762.
2
What is the greatest common factor of 40 and 260?
20
Calculate the greatest common divisor of 192 and 272.
16
What is the highest common factor of 15 and 240?
15
What is the highest common factor of 39 and 14079?
39
What is the highest common factor of 435 and 30?
15
What is the highest common factor of 10 and 430?
10
What is the highest common factor of 1225 and 200?
25
Calculate the greatest common divisor of 78 and 364.
26
Calculate the greatest common divisor of 119 and 910.
7
What is the highest common factor of 12082 and 14?
14
What is the greatest common factor of 30 and 55?
5
Calculate the greatest common factor of 54 and 216.
54
What is the highest common divisor of 22 and 18436?
22
What is the greatest common factor of 1357 and 118?
59
What is the highest common factor of 15 and 20?
5
Calculate the highest common divisor of 342 and 18.
18
What is the highest common factor of 762 and 12?
6
Calculate the greatest common divisor of 663 and 459.
51
What is the greatest common factor of 108 and 1566?
54
What is the greatest common factor of 1 and 47?
1
What is the highest common factor of 296 and 74?
74
Calculate the greatest common factor of 25 and 40.
5
What is the greatest common factor of 429 and 299?
13
Calculate the greatest common divisor of 6838 and 26.
26
What is the highest common divisor of 400 and 1120?
80
What is the highest common factor of 180 and 20?
20
Calculate the highest common divisor of 11 and 1177.
11
What is the greatest common divisor of 111 and 851?
37
What is the greatest common divisor of 84 and 96?
12
What is the greatest common divisor of 4 and 50?
2
What is the greatest common factor of 66 and 6798?
66
What is the greatest common factor of 2750 and 264?
22
Calculate the greatest common factor of 17854 and 158.
158
What is the greatest common divisor of 6715 and 340?
85
Calculate the highest common factor of 90299 and 11.
11
What is the greatest common divisor of 3400 and 68?
68
Calculate the greatest common factor of 756 and 81.
27
What is the greatest common divisor of 610 and 50?
10
What is the highest common factor of 81 and 261?
9
What is the greatest common factor of 10 and 1016?
2
Calculate the greatest common divisor of 37 and 13801.
37
Calculate the greatest common divisor of 4 and 5458.
2
Calculate the greatest common factor of 276 and 300.
12
Calculate the greatest common factor of 40 and 90.
10
Calculate the highest common divisor of 305 and 35.
5
What is the highest common divisor of 6052 and 68?
68
Calculate the greatest common divisor of 56 and 3164.
28
What is the highest common factor of 1434 and 48?
6
What is the greatest common divisor of 352 and 44?
44
What is the highest common factor of 296 and 1443?
37
What is the greatest common divisor of 14 and 8666?
14
Calculate the greatest common factor of 10 and 5820.
10
Calculate the greatest common divisor of 34 and 19669.
17
What is the greatest common factor of 8 and 344?
8
What is the greatest common divisor of 300 and 2625?
75
Calculate the greatest common factor of 37 and 1739.
37
Calculate the highest common factor of 43175 and 33.
11
Calculate the greatest common divisor of 308 and 8.
4
What is the highest common divisor of 218 and 12535?
109
Calculate the greatest common factor of 49 and 77.
7
What is the highest common factor of 7 and 161?
7
What is the highest common factor of 8 and 208?
8
Calculate the highest common factor of 45 and 99.
9
What is the highest common divisor of 4961 and 220?
11
Calculate the greatest common divisor of 4325 and 346.
173
What is the greatest common factor of 14 and 1519?
7
What is the highest common divisor of 2303 and 49?
49
Calculate the highest common factor of 371 and 53.
53
What is the greatest common factor of 17 and 15912?
17
Calculate the highest common factor of 6 and 142.
2
Calculate the greatest common factor of 3 and 93.
3
What is the highest common divisor of 143 and 2808?
13
Calculate the greatest common factor of 432 and 3672.
216
What is the greatest common divisor of 455 and 140?
35
Calculate the highest common divisor of 122112 and 212.
212
What is the highest common factor of 95 and 19?
19
What is the highest common divisor of 15 and 15?
15
Calculate the greatest common divisor of 4 and 6.
2
Calculate the highest common divisor of 400 and 1360.
80
What is the greatest common factor of 36772 and 116?
116
What is the greatest common factor of 103 and 3811?
103
What is the greatest common factor of 14 and 3878?
14
What is the greatest common divisor of 549 and 5673?
183
Calculate the highest common divisor of 645 and 165.
15
What is the highest common divisor of 44 and 28?
4
What is the greatest common divisor of 182 and 112?
14
Calculate the highest common factor of 120 and 105.
15
What is the greatest common divisor of 84 and 24?
12
What is the greatest common divisor of 4268 and 88?
44
Calculate the greatest common factor of 1001 and 429.
143
What is the highest common factor of 132 and 1221?
33
What is the greatest common factor of 128 and 48?
16
Calculate the highest common factor of 36 and 13302.
18
What is the highest common factor of 66 and 1958?
22
What is the highest common divisor of 100 and 38300?
100
Calculate the greatest common divisor of 30 and 466.
2
What is the highest common factor of 12 and 15324?
12
What is the highest common divisor of 18 and 711?
9
What is the highest common divisor of 159 and 265?
53
What is the greatest common factor of 3256 and 77?
11
Calculate the highest common factor of 3526 and 164.
82
What is the greatest common divisor of 40 and 72?
8
Calculate the greatest common divisor of 114 and 1159.
19
Calculate the greatest common divisor of 1251 and 9.
9
What is the greatest common divisor of 45 and 2169?
9
Calculate the greatest common divisor of 10 | {
"pile_set_name": "DM Mathematics"
} |
in decreasing order.
-2.9, -3, -4, -16734
Put -1, 2/13, -3, 10, -2/13, 30 in decreasing order.
30, 10, 2/13, -2/13, -1, -3
Sort 50, 3, 1.43.
1.43, 3, 50
Sort 125/12, -1/6, 2.1 in descending order.
125/12, 2.1, -1/6
Sort -0.02, 5, -104, -2, -3 in increasing order.
-104, -3, -2, -0.02, 5
Put 1, -4, -9, 147 in decreasing order.
147, 1, -4, -9
Sort -657, -3, 33 in decreasing order.
33, -3, -657
Sort -0.8, 1, 17, -46 in increasing order.
-46, -0.8, 1, 17
Put -35, 0.3, 3, 4/3, -4, -3 in increasing order.
-35, -4, -3, 0.3, 4/3, 3
Sort 7, 9, -4, 5, -49, 0.
-49, -4, 0, 5, 7, 9
Put 31, -41, 15, 2 in ascending order.
-41, 2, 15, 31
Sort 1/2, -6, -132.5, 0, -4 in decreasing order.
1/2, 0, -4, -6, -132.5
Put 15, -1, -9, -17, -4 in ascending order.
-17, -9, -4, -1, 15
Put 1221, 5, 17.7 in increasing order.
5, 17.7, 1221
Sort 3, 0.04, 22/5, 9 in increasing order.
0.04, 3, 22/5, 9
Sort -10, -666, 58 in decreasing order.
58, -10, -666
Put -2.2, -5/3, -2/7, 2/11, -357 in decreasing order.
2/11, -2/7, -5/3, -2.2, -357
Put 383, -699, -3 in decreasing order.
383, -3, -699
Sort -4, -6, 6, -0.3, -60/7 in decreasing order.
6, -0.3, -4, -6, -60/7
Put 1.9, 1.2, 5, -2, 0.5 in increasing order.
-2, 0.5, 1.2, 1.9, 5
Put -4, 3, 5, -762 in increasing order.
-762, -4, 3, 5
Put -0.2, 958/11, -0.8 in descending order.
958/11, -0.2, -0.8
Sort -1, 536, -2, -188 in decreasing order.
536, -1, -2, -188
Put 3, -13, 5, -4, -75 in ascending order.
-75, -13, -4, 3, 5
Put -5, 5, 0, 195, -4, 7 in descending order.
195, 7, 5, 0, -4, -5
Sort -1/9, 2, 0.7, -0.025.
-1/9, -0.025, 0.7, 2
Sort -0.048, -1514, -1 in decreasing order.
-0.048, -1, -1514
Sort -802, 1, 3, -1.
-802, -1, 1, 3
Sort -0.06, -19, -0.5, 0.5 in increasing order.
-19, -0.5, -0.06, 0.5
Sort 1, -2, 44, -6, 4, -33 in ascending order.
-33, -6, -2, 1, 4, 44
Put -0.3, 140, -43, -1 in ascending order.
-43, -1, -0.3, 140
Sort -1, -4, -2, -51, 5 in decreasing order.
5, -1, -2, -4, -51
Put 2, -4, -843, -5 in decreasing order.
2, -4, -5, -843
Put -26, 83, 15, 5 in decreasing order.
83, 15, 5, -26
Put 3, -32, -27, -7, 0, 1 in descending order.
3, 1, 0, -7, -27, -32
Sort -1/4, 1, -0.9, -2/9, -1, 2/3.
-1, -0.9, -1/4, -2/9, 2/3, 1
Sort 21, -14, -1, -4.
-14, -4, -1, 21
Sort 7, -20, -7, 4, 1, -18 in decreasing order.
7, 4, 1, -7, -18, -20
Put -0.5, 35/2, -0.4, 1, -87 in descending order.
35/2, 1, -0.4, -0.5, -87
Sort -15, -1, 1, 48, 2 in ascending order.
-15, -1, 1, 2, 48
Sort -3, -13752, -4, 4.
-13752, -4, -3, 4
Sort -2, -3, -45, 143, 4 in ascending order.
-45, -3, -2, 4, 143
Put 4, 441, -4, -1 in descending order.
441, 4, -1, -4
Put 637, -14, 0 in increasing order.
-14, 0, 637
Put 6130, -1, 2, 5, -5, 0 in decreasing order.
6130, 5, 2, 0, -1, -5
Sort -2/15, -5, -2, 1/15, 4.
-5, -2, -2/15, 1/15, 4
Sort 1/5, 0.1, -4, -353, -10, -6.
-353, -10, -6, -4, 0.1, 1/5
Sort 11.7, -3/7, -2, -2/23, 11 in decreasing order.
11.7, 11, -2/23, -3/7, -2
Sort 3, -430, 1179 in descending order.
1179, 3, -430
Put 0.15, 7/6, 1.9 in ascending order.
0.15, 7/6, 1.9
Put -141, 0.4, -3, -1/5, 0.3 in descending order.
0.4, 0.3, -1/5, -3, -141
Sort -7, -1, 7, 5, -33, 2.
-33, -7, -1, 2, 5, 7
Sort 83, -1, -6, 0.
-6, -1, 0, 83
Put -12, 2567, -4, 4 in descending order.
2567, 4, -4, -12
Put 22.4, 10, -2 in decreasing order.
22.4, 10, -2
Sort -2, 4, -800, -33, -3 in decreasing order.
4, -2, -3, -33, -800
Sort 3, -20, -24, 0, -1, 4 in ascending order.
-24, -20, -1, 0, 3, 4
Sort -4, 5, -9, -8, -19610 in increasing order.
-19610, -9, -8, -4, 5
Put 24454, 12, 4 in descending order.
24454, 12, 4
Put -7, -4, -1334 in decreasing order.
-4, -7, -1334
Sort 39351, -2, -4 in increasing order.
-4, -2, 39351
Sort -4, 3, 72, -1, 15, -7 in descending order.
72, 15, 3, -1, -4, -7
Sort 3, 5, 27, 29 in decreasing order.
29, 27, 5, 3
Put -5/4, -4, 0.2, -11, 1.4 in decreasing order.
1.4, 0.2, -5/4, -4, -11
Sort 1, -2, -5, 4, 23, 9 in increasing order.
-5, -2, 1, 4, 9, 23
Put 99, 3.3, -0.5 in decreasing order.
99, 3.3, -0.5
Sort -6/49, -5, -1, 0.6 in ascending order.
-5, -1, -6/49, 0.6
Put -19233, -4, -13 in ascending order.
-19233, -13, -4
Put -4, 264.73, 129 in ascending order.
-4, 129, 264.73
Sort -3, 1, 30, 4/17, 0.08 in descending order.
30, 1, 4/17, 0.08, -3
Put 2, -0.1, 0.1, 5, -0.01 in descending order.
5, 2, 0.1, -0.01, -0.1
Sort -0.5, 5090, -2/23 in descending order.
5090, -2/23, -0.5
Sort -10, -28, -1, -225 in descending order.
-1, -10, -28, -225
Put -5, 4, 16/23, 1/4, -0.4, 1 in increasing order.
-5, -0.4, 1/4, 16/23, 1, 4
Put 1, 0, 13, 371 in descending order.
371, 13, 1, 0
Sort -37, -15, -1/1261 in decreasing order.
-1/1261, -15, -37
Sort -11, 1, 2/5, 0.27 in decreasing order.
1, 2/5, 0.27, -11
Sort -1/3, 0.6, 225, -1/16, 4, 3.
-1/3, -1/16, 0.6, 3, 4, 225
Put 0, 18970, 1 in increasing order.
0, 1, 18970
Sort 5, 0.2, 3806.8 in decreasing order.
3806.8, 5, 0.2
Put -3, -18, 5, -1477 in decreasing order.
5, -3, -18, -1477
Put 627.7, 0.3, 4/107 in increasing order.
4/107, 0.3, 627.7
Put 0.1, -1/2, 0.1114, -4 in ascending order.
-4, -1/2, 0.1, 0.1114
Sort -2, -58, -0.6, 1/7 in descending order.
1/7, -0.6, -2, -58
Put -2/9, -301, 17 in increasing order.
-301, -2/9, 17
Sort 252, -2, 5, -4 in ascending order.
-4, -2, 5, 252
Put 0, -7, 196, -36, 4 in decreasing order.
196, 4, 0, -7, -36
Sort 2, -20, -2, 9 in increasing order.
-20, -2, 2, 9
Put 21, -5/576, 3 in descending order.
21, 3, -5/576
Sort 10, 0.14, -1/2, 3, -1/3, 0 in descending order.
10, 3, 0.14, 0, -1/3, -1/2
Sort -6, -11, 0, 1468.
-11, -6, 0, 1468
Put -3, 370, 5, -1013 in increasing order.
-1013, -3, 5, 370
Sort -779, -28, 7.
-779, -28, 7
Sort 42, -8, -9, 11 in descending order.
42, 11, -8, -9
Sort -7, 0.05, 0.06, 1/10, 2/19 in descending order.
2/19, 1/10, 0.06, 0.05, -7
Sort 243, -1, -2, 3/935, 1/5 in decreasing order.
243, 1/5, 3/935, -1, -2
Sort -49, 111, -4 in ascending order.
-49, -4, 111
Sort -335, -4, -1, -3.
-335, -4, -3, -1
Sort -192, 2, -19, 1, -2 in decreasing order.
2, 1, -2, -19, -192
Sort 17/33, 3, -1, -4 in decreasing order.
3, 17/33, -1, -4
Sort -553, -2, 4, 0, 7 in descending order.
7, 4, 0, -2, -553
Put 28, -0.4, -50402 in ascending order.
-50402, -0.4, 28
Put 27/5, -0.1, 202/3 in decreasing order.
202/3, 27/5, -0.1
Put 37, -0.4, -8, 0.01, 2/9 in descending order.
37, 2/9, 0.01, -0.4, -8
Sort -4, 11, -5, 15, 2, 48.
-5, -4, 2, 11, 15, 48
Sort 4, 25, 3 in ascending order.
3, 4, 25
Put 1, -4/7, 10/7, -0.4, 18, -2 in descending order.
18, 10/7, 1, -0.4, -4/7, -2
Put 4, 5, -18, -10 in decreasing order.
5, 4, -10, -18
Put -3, -2, 3, 2, -47, 5 in decreasing order.
5, 3, 2, -2, -3, -47
Sort -1, -5, -66592 in descending order.
-1, -5, -66592
Put -1/4, 59, -54/11, 3, -0.5, -5 in ascending order.
-5, -54/11, -0.5, -1/4, 3, 59
Sort 2, -99218, -1, -2.
-99218, -2, -1, 2
Put -14, -3, -2, -290, -4 in decreasing order.
-2, -3, -4, -14, -290
Put 3, 10/6191, 1/4 in ascending order.
10/6191, 1/4, 3
Sort -71, 2, -2, 10, 3.
-71, -2, 2, 3, 10
Put 4, -2, 2, -4, -23/6 in increasing order.
-4, -23/6, -2, 2, 4
Sort -5, 74, -800, -3 in ascending order.
-800, -5, -3, 74
Put 5, -14, 63 in increasing order.
-14, 5, 63
Put 5, -467, -2, -3, 2, 3 in decreasing order.
5, 3, 2, -2, -3, -467
Sort 1395, 51, 5, 3 in ascending order.
3, 5, 51, 1395
Sort -248, -0.2, 2, -0.4, -5, 143 in descending order.
143, 2, -0.2, -0.4, -5, -248
Sort 2/3, -179/3, -3, 1/4.
-179/3, -3, 1/4, 2/3
Put -32/301, -2, 1/3 in ascending order.
-2, -32/301, 1/3
Put -60, 1, 4, 79 in decreasing order.
79, 4, 1, -60
Put 0, 132, -9186 in descending order.
132, 0, -9186
Put 29, 26, -4, 5 in ascending order.
-4, 5, 26, 29
Put 3322, -2, 27, -3, 4 in increasing order.
-3, -2, 4, 27, 3322
Put 2879, -3, -5, 10 in ascending order.
-5, -3, 10, 2879
Sort -63, 98, 3, 1.
-63, 1, 3, 98
Sort 2, 6, -4, -3, -253, 0 in descending order.
6, 2, 0, -3, -4, -253
Sort 0.5, 2/5, -0.2, -54, -9 in descending order.
0.5, 2/5, -0.2, -9, -54
Sort -2936, 1, 3, 4 in descending order.
4, 3, 1, -2936
Put 142, 3, -1, 4 in increasing order.
-1, 3, 4, 142
Sort -39/5, 5, 1090.
-39/5, 5, 1090
Sort -3, -215/2, 765, 4, 2/19.
-215/2, -3, 2/19, 4, 765
Sort 1, 2, -5, -1, -11.
-11, -5, -1, 1, 2
Put 5, -213, 6, 1 in ascending order.
-213, 1, 5, 6
Put -3, -11, 8, 0, -5, 4 in decreasing order.
8, 4, 0, -3, -5, -11
Sort 4, | {
"pile_set_name": "DM Mathematics"
} |
e 14, what is 5 - 117ac?
-117a7
In base 9, what is 6 + -3131?
-3124
In base 7, what is 11424 - -12?
11436
In base 9, what is -708 - 10?
-718
In base 11, what is -44 - 4?
-48
In base 9, what is -26 + -24288?
-24325
In base 12, what is -16 - 5abb?
-5b15
In base 6, what is -54235 - -5?
-54230
In base 9, what is -2675150 - -3?
-2675146
In base 11, what is -4 + -1648a7?
-164900
In base 6, what is 344 + 1244?
2032
In base 4, what is -203 - 100033?
-100302
In base 8, what is -4 + 34311?
34305
In base 6, what is 0 + 105054?
105054
In base 15, what is -6 + 310?
309
In base 14, what is 1228b - 0?
1228b
In base 9, what is -431 + -1035?
-1466
In base 4, what is 2330 - -11010?
20000
In base 8, what is -344613 - 0?
-344613
In base 4, what is -22 - -12121103?
12121021
In base 15, what is -1c3 + 7c9?
606
In base 9, what is 260407 - 1?
260406
In base 8, what is 104 + 126?
232
In base 14, what is 62a62 + -6?
62a5a
In base 5, what is 1023 - 22112?
-21034
In base 9, what is -1 + -10124?
-10125
In base 8, what is 157 - 4310?
-4131
In base 2, what is -10101110010 - 10100101?
-11000010111
In base 9, what is 3 - -1827?
1831
In base 7, what is -106 - 11422?
-11531
In base 4, what is -21313032011 + -3?
-21313032020
In base 13, what is a8 + -255?
-17a
In base 5, what is 24413413 - -1?
24413414
In base 4, what is -332203 - -2322?
-323221
In base 9, what is -38710 + -2?
-38712
In base 13, what is -35 + -bc9?
-c31
In base 5, what is -13123 + 44?
-13024
In base 15, what is 41ae9 - 4?
41ae5
In base 16, what is 8d - 16?
77
In base 8, what is -1474 - -3271?
1575
In base 12, what is 600b + 52?
6061
In base 16, what is dd + -ec?
-f
In base 16, what is -6 - 4e2a9?
-4e2af
In base 10, what is 162 + 454?
616
In base 5, what is 3312 + 220102?
223414
In base 12, what is ab4 - 1539?
-645
In base 9, what is -1570 + -401?
-2071
In base 2, what is 11 - 101001100101111110100?
-101001100101111110001
In base 7, what is -5254 + -2?
-5256
In base 4, what is 21 - -122102?
122123
In base 12, what is -129b8 - -1?
-129b7
In base 2, what is 100 - 100011001100010010?
-100011001100001110
In base 15, what is -14 + -242b?
-2440
In base 13, what is 7557b + 1?
7557c
In base 13, what is -88 - -1544?
1489
In base 3, what is 11101021 - 20010?
11011011
In base 14, what is 1c8 + -105?
c3
In base 6, what is -20441050 - -1?
-20441045
In base 5, what is 4 + -141001?
-140442
In base 5, what is -10100 - -242?
-4303
In base 2, what is 111010101 - -10001010?
1001011111
In base 3, what is -1012 + -1021222?
-1100011
In base 10, what is -910924 + 4?
-910920
In base 14, what is -2083 - -1bb?
-1ca6
In base 11, what is -7 - 2299?
-22a5
In base 3, what is -1120 - 10002212?
-10011102
In base 2, what is -10 + 11101110110111010?
11101110110111000
In base 2, what is -11111 + -111100010?
-1000000001
In base 13, what is 17b - -3a4c?
3bca
In base 10, what is 7 + -2885?
-2878
In base 13, what is 5 + 339a?
33a2
In base 11, what is 7008 + -260?
6858
In base 11, what is 2 + 16368?
1636a
In base 8, what is -3217714 - 0?
-3217714
In base 7, what is 0 - -111260?
111260
In base 6, what is -11 - 400030?
-400041
In base 10, what is -61687 - 0?
-61687
In base 2, what is -1001011001010100001010 - 0?
-1001011001010100001010
In base 14, what is -96 - cb?
-183
In base 7, what is 154 - -1031?
1215
In base 11, what is 113 + -1a1?
-89
In base 6, what is 515 - -203?
1122
In base 4, what is 1320110133 - 2?
1320110131
In base 9, what is 5 + 247621?
247626
In base 16, what is -9b - 2014?
-20af
In base 14, what is 1 - -7d12?
7d13
In base 16, what is -393 - -2ec?
-a7
In base 14, what is 251b + -2?
2519
In base 11, what is -45a2 - -a?
-4593
In base 14, what is 225 - -2983?
2ba8
In base 7, what is 5044621 + 4?
5044625
In base 14, what is -389b + 5?
-3896
In base 6, what is -14153 - 45?
-14242
In base 5, what is -1204014 - -4?
-1204010
In base 9, what is 24 - -104?
128
In base 9, what is 2 - -11801?
11803
In base 16, what is 5 - 30f0?
-30eb
In base 7, what is 30051 - -23?
30104
In base 15, what is -8 - b53c?
-b545
In base 4, what is -111 - 1300?
-2011
In base 9, what is -3 + 75534?
75531
In base 8, what is 6050 - -16?
6066
In base 5, what is -2 - 104033244?
-104033301
In base 8, what is -2 - 241747?
-241751
In base 13, what is 5 - 4620?
-4618
In base 13, what is 701 + -6?
6c8
In base 14, what is 207359 - 1?
207358
In base 8, what is 2 - 1652517?
-1652515
In base 10, what is 273570 + 1?
273571
In base 2, what is 11110100100110 + 100110?
11110101001100
In base 11, what is -5 - 9398?
-93a2
In base 3, what is -10120220 + 201121?
-2212022
In base 10, what is -5 - 183604?
-183609
In base 5, what is 123411 - -32?
123443
In base 8, what is -11305 + -67?
-11374
In base 8, what is 5 - -331710?
331715
In base 3, what is -1212102102 + 111?
-1212101221
In base 13, what is 6ab + -6?
6a5
In base 9, what is 5 + -5817?
-5812
In base 3, what is -2001122 + 12?
-2001110
In base 3, what is -212101 - 12021?
-1001122
In base 13, what is -2255 + 5?
-2250
In base 5, what is -23322303 + 2?
-23322301
In base 4, what is -2 + 132322?
132320
In base 16, what is c + 717?
723
In base 2, what is 11011011111000000 + -1?
11011011110111111
In base 14, what is -28834 + -1?
-28835
In base 14, what is 6b8 + -1b89?
-14b1
In base 10, what is -11 + -15408?
-15419
In base 9, what is 8203 - -106?
8310
In base 14, what is 13b - -565?
6a2
In base 12, what is -728 + -b76?
-16a2
In base 16, what is 286a6 - 7?
2869f
In base 4, what is 3 - -113113031?
113113100
In base 2, what is 101001110110001010000 - 100?
101001110110001001100
In base 3, what is 1011001000121 - 11?
1011001000110
In base 9, what is -4110775 - 4?
-4110780
In base 10, what is -376 - -13?
-363
In base 8, what is 372064 - -5?
372071
In base 5, what is 431 + 1213?
2144
In base 16, what is -4 + b5d?
b59
In base 16, what is 2734 + 1?
2735
In base 6, what is -43022 + 10?
-43012
In base 12, what is -76 - -6760?
66a6
In base 3, what is -1021010 + -12222?
-1111002
In base 3, what is -2222 - -1011212?
1001220
In base 12, what is -382b79 + 3?
-382b76
In base 12, what is 29a + 5a?
338
In base 13, what is 3990 - 2a?
3963
In base 15, what is -6 - -4931b?
49315
In base 15, what is -4 + 3394d?
33949
In base 7, what is 502 - -301?
1103
In base 4, what is -3313 - 222102?
-232021
In base 8, what is -2 - 14626?
-14630
In base 15, what is 2e + e34a?
e379
In base 5, what is 140 + 302?
442
In base 2, what is 110101011101110 + -11?
110101011101011
In base 6, what is -120045 - -4?
-120041
In base 2, what is -10001 + 1000100111101000100?
1000100111100110011
In base 13, what is -35c - -13b?
-221
In base 8, what is 254 + 110?
364
In base 5, what is -10223 + 1401?
-3322
In base 6, what is -2 + 441455?
441453
In base 9, what is 12260121 - -3?
12260124
In base 13, what is 1a7165 + 0?
1a7165
In base 2, what is 10111011110100 - 1000011?
10111010110001
In base 2, what is 101101001 - 11101100?
1111101
In base 8, what is -237220 - 2?
-237222
In base 16, what is 14 - -16d?
181
In base 7, what is -15361 - -30?
-15331
In base 2, what is -100 - -100010101000001?
100010100111101
In base 4, what is 2322330 + -2?
2322322
In base 7, what is -220256 + -14?
-220303
In base 5, what is 124 - -2001?
2130
In base 2, what is 1101011 - -11101111?
101011010
In base 16, what is 4fd + -19?
4e4
In base 6, what is 1450123 - -10?
1450133
In base 4, what is -103 + 1333?
1230
In base 11, what is 4 - -14724?
14728
In base 2, what is 1001011110010111 - -1100?
1001011110100011
In base 7, what is 11 + -2655?
-2644
In base 9, what is 2278 + -6?
2272
In base 7, what is 2515 + 22?
2540
In base 13, what is -3 + 10cbb?
10cb8
In base 12, what is 1552a + 0?
1552a
In base 14, what is -135a0 + 1?
-1359d
In base 5, what is 21 - -112033042?
112033113
In base 12, what is -911 + 0?
-911
In base 13, what is 7 + -1a3a95?
-1a3a8b
In base 10, what is 6 - 7807?
-7801
In base 4, what is -103232 + -231?
-110123
In base 12, what is -4 + 2b060?
2b058
In base 2, what is -10011001001100101 + 101?
-10011001001100000
In base 9, what is -154 + 218?
54
In base 13, what is 2 + 249523?
249525
In base 4, what is -200113 - 121?
-200300
In base 2, what is -11000111101111 + 1?
-11000111101110
In base 12, what is 4 - 36423?
-3641b
In base 2, what is 11 - 1001010110011110?
-1001010110011011
In base 3, what is -2122 - 101001?
-11020 | {
"pile_set_name": "DM Mathematics"
} |
tive.
1
Simplify j*j**3*j**(-3)*((j*j**(2/3))/j*j)/j**4 assuming j is positive.
j**(-4/3)
Simplify k**(3/5)/(k*k*k*k**(4/9))*(k**(2/9)*k)**(-1/30) assuming k is positive.
k**(-779/270)
Simplify (r**(-1/4))**40 assuming r is positive.
r**(-10)
Simplify (i/(i*i**(-46)/i))/(i**(-2/3)/i) assuming i is positive.
i**(146/3)
Simplify i**(-10)*i*i**(-4/9)/i assuming i is positive.
i**(-94/9)
Simplify ((w**(-5/9)*w)/w**(2/17))**(-49) assuming w is positive.
w**(-2450/153)
Simplify r**(-2/59)/(r/r**(-3/14)) assuming r is positive.
r**(-1031/826)
Simplify j**(-2)/j**3*j**(2/5)*j*j**4 assuming j is positive.
j**(2/5)
Simplify (d**(6/17)*d)**(-44) assuming d is positive.
d**(-1012/17)
Simplify ((z**(-14)/z)/z*z)/(z*z/(z**(-2/15)/z)) assuming z is positive.
z**(-272/15)
Simplify ((p/(p/(p/(p*p**1)))*p)/p**(1/9))**(-16/5) assuming p is positive.
p**(16/45)
Simplify ((z*z/z**(2/21))/(z**(1/6)/z))**(-2/49) assuming z is positive.
z**(-115/1029)
Simplify (o**(-1))**(34/7)/(o**(-8)/o*o*(o**(-7)*o)/o) assuming o is positive.
o**(71/7)
Simplify l**(-2/41)/(l/(l*l/l**(5/3))) assuming l is positive.
l**(-88/123)
Simplify (z**(5/6)*z*z*z**(-10))**20 assuming z is positive.
z**(-430/3)
Simplify (y*y**(-4/13))/(y*y/(y*y**(-9/5))) assuming y is positive.
y**(-137/65)
Simplify l*l**(-1/3)*l*((l/(((l**9/l*l)/l)/l)*l)/l)/l assuming l is positive.
l**(-16/3)
Simplify (t*t*t/(t/(t*t**(-11))*t)*t)/((t*t**(-13/3)*t)/t) assuming t is positive.
t**(-14/3)
Simplify v/(v*v**(3/2))*v*v**(-1/10)*v*(v/((v*v**1)/v)*v)**(4/35) assuming v is positive.
v**(18/35)
Simplify ((d**(-2/7))**(19/2))**(6/11) assuming d is positive.
d**(-114/77)
Simplify (i**(-1)/i*i)**(-4/11)*(i/(i**(2/3)*i))**3 assuming i is positive.
i**(-18/11)
Simplify (p/(p**1*p))**(-27/4)*p**(-1/2)*p**6*p assuming p is positive.
p**(53/4)
Simplify y**(-1)*y**8/y*(y**(-2/7)*y)**(-9/8) assuming y is positive.
y**(291/56)
Simplify r*r**(3/7)*r*r**(-2)*((r/(r**1/r))/r)**(-3/7) assuming r is positive.
r**(3/7)
Simplify (h**6)**6 assuming h is positive.
h**36
Simplify ((u*u**(4/19)*u)/(u/(u/(u**6/u))))**34 assuming u is positive.
u**(-1802/19)
Simplify (o/(o**33/o))/o*o/(o/o**(-29)) assuming o is positive.
o**(-61)
Simplify (p/((p**2/p)/p))**(18/7)*p**(-1)*p/(p/(p/p**(-2/3))) assuming p is positive.
p**(68/21)
Simplify (q/q**(-5))/q**(6/7)*q*q*q**(1/6)*q**(-6) assuming q is positive.
q**(55/42)
Simplify c/(c/(c**(2/7)/c*c))*c/(c*(c*c**(5/12))/c) assuming c is positive.
c**(-11/84)
Simplify s*s/s**(-2)*s**(1/4)*s**(4/7)*s**4/s assuming s is positive.
s**(219/28)
Simplify i*i/i**(-15)*i/i**(-8/5) assuming i is positive.
i**(98/5)
Simplify x/(((x**(-1/8)*x)/x)/x)*x*x*x/(x**(-9)/x) assuming x is positive.
x**(121/8)
Simplify ((q/q**6)/(q/((((q/q**0)/q)/q)/q)))**(2/5) assuming q is positive.
q**(-16/5)
Simplify h**(2/9)/h*h*h/(h**(-6)*h)*h*(((h**(-2/7)/h)/h)/h)**40 assuming h is positive.
h**(-7825/63)
Simplify o/(o**(-41)/o)*o/(o/(o**(-19/3)/o*o)) assuming o is positive.
o**(110/3)
Simplify r*r/r**(1/4)*r*r**17 assuming r is positive.
r**(79/4)
Simplify (k**(17/4))**(-9/7) assuming k is positive.
k**(-153/28)
Simplify (((z*z**(1/3)*z*z*z*z)/z)/(z/z**(8/7)))/((z*z**(2/5)*z)/(z*z**(2/3)*z)) assuming z is positive.
z**(166/35)
Simplify ((g*g**(-2/9))/g*g)**(-1/17) assuming g is positive.
g**(-7/153)
Simplify ((z/(z*((z/(z*(z*z/((z/z**(-1)*z*z)/z)*z)/z))/z*z)/z*z))**(-1/4))**(1/23) assuming z is positive.
z**(1/92)
Simplify (r/r**7)**16 assuming r is positive.
r**(-96)
Simplify (z*z**(3/11))/z**(-26) assuming z is positive.
z**(300/11)
Simplify (t/(t/t**(-1)))/t**(-4) assuming t is positive.
t**3
Simplify ((g**(1/4))**(-23))**(1/17) assuming g is positive.
g**(-23/68)
Simplify (y/((y/(y/y**(2/21)))/y)*y**(-1/12)/y)/(y/y**(1/5)*y/y**(-1/11)) assuming y is positive.
y**(-1647/1540)
Simplify (x**30*x)/((x**(-2/13)/x)/x) assuming x is positive.
x**(431/13)
Simplify (k*k*k**(3/4)/k*k*k/k**(-1/4))/(k/((k**4*k*k)/k*k)*k**(1/11)*k) assuming k is positive.
k**(87/11)
Simplify (a*(a/(a/a**(-2))*a)/a)/(a*a**(-2))*a/a**(-1)*a*a/(a/a**5*a) assuming a is positive.
a**7
Simplify (p**(-3/14)*p*p*p/((p**5*p)/p))**47 assuming p is positive.
p**(-1457/14)
Simplify (l**(2/23)/l)**(9/2) assuming l is positive.
l**(-189/46)
Simplify ((l*l**(-2/15))/l)/(l/(l/l**(28/9)*l*l)) assuming l is positive.
l**(-56/45)
Simplify (g/(g/(g/(g/(g/(g**(-16)/g*g*g)))*g)))/((g**(-13)*g)/g) assuming g is positive.
g**30
Simplify p**(1/29)*p*p*(p*p/p**(1/18)*p)/p*p*p assuming p is positive.
p**(3121/522)
Simplify ((p**1)**(-6/23))**(-1/23) assuming p is positive.
p**(6/529)
Simplify (((o*o**(1/4))/o)**35)**21 assuming o is positive.
o**(735/4)
Simplify (((p**(1/7)*p)/p)/p)/p**(-27) assuming p is positive.
p**(183/7)
Simplify (s/s**1)**(5/2) assuming s is positive.
1
Simplify (l**(-2/15)/(l**15/l))**(-2/65) assuming l is positive.
l**(424/975)
Simplify l**(-5)/l*l/((l/((l/l**(-7))/l)*l)/l)*(l*l*l**(-2/9)/l*l*l)/l*l**(1/2) assuming l is positive.
l**(59/18)
Simplify ((((((v*v**(-12/5))/v)/v)/v)/v)/v)**(-21) assuming v is positive.
v**(672/5)
Simplify b*b*b**(-3/5)*b*b**(4/9)*b*b*b**(-3/7)/b*b*b*b*b*b*(b*b**(-6)*b*b)/b assuming b is positive.
b**(1391/315)
Simplify ((i/(i**(-1)*i))/i)**(4/3)/((i*i**(-3/2))/i**(3/4)) assuming i is positive.
i**(5/4)
Simplify (b**(-1)/b)**(-37)*(b/b**(1/3))/b*b**(-1/5) assuming b is positive.
b**(1102/15)
Simplify ((s/((s**5*s)/s))/((s**3/s)/s*s))/(s**(-2)*s*s*s**3) assuming s is positive.
s**(-9)
Simplify (k**(-2/11))**14/(k**2*k)**(7/3) assuming k is positive.
k**(-105/11)
Simplify (w**(-2/3))**(2/17)/(w**(5/3)/w**(-2/5)) assuming w is positive.
w**(-547/255)
Simplify (v**7*v/(v*v*v**4))/(v**(2/9)*v/(v/(v**0*v))*v) assuming v is positive.
v**(-2/9)
Simplify ((g**(-2/3))**(-18))**(-4/5) assuming g is positive.
g**(-48/5)
Simplify (((l*l*l**(3/4))/l)/l**(-1/2))/(l**(-3/5)/l*l*l*l**(-6)*l) assuming l is positive.
l**(137/20)
Simplify (d**0/d**6)/(d**(6/5)*((d*d/d**(3/5))/d)/d) assuming d is positive.
d**(-33/5)
Simplify ((a*a/(a*a**(-3/2)*a)*a)/a**(2/5))/((a*a/(a*(a*a*a*a*a/((a*a*a/(a*a*a**(2/5)*a*a))/a*a*a)*a)/a*a))/a)**(-48) assuming a is positive.
a**(-3051/10)
Simplify (n*n*n**(2/11)/n*n*n/((n*n**(-15)/n*n*n)/n*n)*n*n)**(-1/4) assuming n is positive.
n**(-50/11)
Simplify h/h**(-15)*h**(-1/4) assuming h is positive.
h**(63/4)
Simplify ((a**5)**9)**(-22) assuming a is positive.
a**(-990)
Simplify ((q*q/q**(3/16))/q**(10/11))**(-10/7) assuming q is positive.
q**(-795/616)
Simplify (g/g**9*g**(1/11))**(-47) assuming g is positive.
g**(4089/11)
Simplify (s**(2/3))**40/(s/(s*s*s*s*s/(s**(-1/11)/s)*s*s*s*s)*((s*s**8)/s)/s) assuming s is positive.
s**(949/33)
Simplify (q/(q**(-2/29)/q))**(4/3) assuming q is positive.
q**(80/29)
Simplify u**(-5/6)*u*u**(-2/3) assuming u is positive.
1/sqrt(u)
Simplify (o**(-2))**(-44)*o**0*o**10*o*o assuming o is positive.
o**100
Simplify t**(2/23)*t/(t**(-8)/t)*(t**7*t*t)/(t**(3/2)*t) assuming t is positive.
t**(763/46)
Simplify ((o*o/o**(-2))/o)/o**6*(o**0)**(23/5) assuming o is positive.
o**(-3)
Simplify (c**(-5)/c**6)**2 assuming c is positive.
c**(-22)
Simplify (m/m**18)/m**(-12) assuming m is positive.
m**(-5)
Simplify (d**(-16))**(-34) assuming d is positive.
d**544
Simplify (o*o**4)/o**(-8)*o**(-3/7)*o*o/o**(-5)*o assuming o is positive.
o**(144/7)
Simplify (v*v**(2/17)*v)/v*v/v**(2/11)*v**(-1)/((v*v*v**(1/6))/v) assuming v is positive.
v**(-259/1122)
Simplify (k*k*k**1)/k**(-21) assuming k is positive.
k**24
Simplify (q**(4/3)/(q/(q**(-1)*q)))/(q**2)**(-3) assuming q is positive.
q**(19/3)
Simplify (o*o**17)**17 assuming o is positive.
o**306
Simplify (f*(f/(f*(f*f**(-2/29))/f))/f)/f**(-36) assuming f is positive.
f**(1046/29)
Simplify (u**(-1)/(u*u/(u/u**3)))**33 assuming u is positive.
u**(-165)
Simplify ((d*d/(d*d*d**2))/(d*d**(-6/7)))**(5/8) assuming d is positive.
d**(-75/56)
Simplify (v**(-7/6)/v*v)/v*v**(2/53) assuming v is positive.
v**(-677/318)
Simplify ((x*x**(-3/2)*x)/x*x*x**(-1/3)*x)/(x*x**(-1/4))**(-44) assuming x is positive.
x**(205/6)
Simplify n**(-1/3)*n/(n*(n**3/n)/n*n)*n*n*n/(n*n**(-6)*n*n)*n*n**(-1/4)*n assuming n is positive.
n**(65/12)
Simplify a/a**0*a/a**2*(a*(a**(1/4)/a)/a)**2 assuming a is positive.
a**(-3/2)
Simplify (v/v**(2/9)*v*v*v)/v*v**(-4) assuming v is positive.
v**(-11/9) | {
"pile_set_name": "DM Mathematics"
} |
6)/7*(-42)/9. Suppose 4*q - 358 = -4*f + 2*q, 328 = c*f - 4*q. Is f a multiple of 10?
False
Suppose i = 3, -g = i - 4*i - 166. Suppose -2*a + 1017 = g. Suppose -a = 12*x - 1645. Does 13 divide x?
False
Let s = 11 + 33. Suppose 37 = -2*t - w, 3*t = -2*w - 12 - s. Is (-3748)/t - (28/18)/7 a multiple of 26?
True
Is 7458 + -3 - ((-828)/108 + (-15)/(-9)) a multiple of 8?
False
Suppose -46*i + 41 + 27 + 116 = 0. Is 2 a factor of i?
True
Let s = 15808 + -11308. Is s a multiple of 20?
True
Suppose -1178352 = 33*w - 89*w. Does 11 divide w?
False
Let q = 60 - 75. Let x = q + 8. Is 8 a factor of (-24)/((x/21)/(4/18))?
True
Let m(t) = t**3 - 10*t**2 - t + 20. Let j be m(10). Let d be ((-124)/(-10))/(j/200). Suppose 15*b - 19*b = -d. Is 6 a factor of b?
False
Let c = 15 - 6. Let k(t) = 309*t**3 + t**2 - 6*t + 5. Let s be k(1). Suppose c*n - 12*n + s = 0. Is 39 a factor of n?
False
Suppose 5*i + 1202 = 4*h, -3*h + 898 = -31*i + 29*i. Is h a multiple of 3?
False
Let t = 57 + -50. Suppose 2*o + t = 3*y - 0*y, -o + 29 = 5*y. Suppose 0 = o*w + 5*g - 600, 64 = w + g - 86. Is w a multiple of 10?
True
Suppose 12 = r - 2*g + 4*g, 5*g - 25 = 0. Suppose -r*j - 54 = 2. Is (-8)/j + 178/14 a multiple of 13?
True
Is 19 a factor of -10 + -2 + (-124040)/(-20)?
False
Let s = -37 + 58. Suppose -12*i + s = -5*i. Is 10 a factor of ((-87)/(-12) - 1/4) + i?
True
Let d be (-26)/(-10) + (-60)/(-150). Suppose 0 = -2*i - 10, -2*o + 0*i + 751 = -d*i. Is o a multiple of 46?
True
Let u = -1129 - -1894. Does 15 divide u?
True
Let s(q) = -26*q**3 - q + 1. Let l be s(1). Let n(t) = t**3 + 9*t**2 - 3*t - 6. Let w be n(-10). Let i = l - w. Does 9 divide i?
False
Suppose -47*i = -50*i + 2835. Let h = -645 + i. Does 6 divide h?
True
Suppose 5*j - 6*j = -9. Is 6187/j + (-76)/171 a multiple of 73?
False
Is (-5130)/2*(-1768)/1326 a multiple of 17?
False
Let w be 2 + -5 + (4 - (-6 - 0)). Let q(m) = -308*m + 545*m - w - 281*m. Does 30 divide q(-3)?
False
Let f = -17257 - -26797. Is 9 a factor of f?
True
Does 81 divide 16/48 - (-5 + 78134/(-21))?
True
Suppose 5*r + 35 = p - 39, -3*p = 2*r + 33. Does 12 divide 5*20/r*-15?
False
Let q = -4542 - -7110. Is q a multiple of 107?
True
Suppose 43708 = 2*v - 22454. Is v a multiple of 130?
False
Suppose 59 + 61 = 5*u. Suppose -8*h + u = -0*h. Does 13 divide ((-20)/(-15))/(h/468)?
True
Suppose 3084 + 9357 = 5*j - 4024. Is 18 a factor of j?
False
Suppose -25*a - 432120 = -129*a. Is 112 a factor of a?
False
Does 3 divide 860*10/250*130/4 - 5?
True
Let b be ((-6)/(-15))/(1/(-5)) - 22. Does 48 divide 1002 - (140/b - 2/12)?
True
Suppose 5*q + 2*g + 9054 = 9*q, -4*q + 3*g = -9057. Is 26 a factor of q?
True
Let q be (-9)/(-4 - -7) - -5. Suppose 85 = -q*p + 3*p. Is 0 + p + 72/(-24) a multiple of 11?
False
Suppose 8*z - 3*z - 25 = 0. Suppose -a - 77 = z*b, 2*b - 6*b - 3*a = 55. Does 9 divide 4/b*-214 + 2/4?
True
Let v(x) = -6*x + 155. Let l be v(26). Does 12 divide (-70 + -1282)*l*1?
False
Suppose -132*i = -87*i - 17325. Is 3 a factor of i?
False
Let s(u) = u**3 - 41*u**2 + 45*u - 176. Does 24 divide s(40)?
True
Is 313930/80 - 3/168*7 a multiple of 20?
False
Let m = -3886 - -9406. Suppose 11*u + 5*u - m = 0. Does 5 divide u?
True
Suppose 5*t - k - 507 = 0, 0 = -2*t - 0*t + 2*k + 206. Suppose 0 = 5*o + 5*j - 1745, j + t = -5*o + 1850. Does 40 divide o?
False
Let a = 58372 + -37652. Is 16 a factor of a?
True
Suppose i - 4*h = -i - 4, 3*h = 5*i - 4. Suppose -5*p = -i*p. Suppose p = -5*q + 35 + 25. Does 6 divide q?
True
Let l(t) = -454*t + 9826. Is 27 a factor of l(0)?
False
Let m(c) = -7*c**3 + 4*c**2 + 15*c + 1. Let h(w) = 21*w**3 - 12*w**2 - 43*w - 2. Let k(v) = 6*h(v) + 17*m(v). Does 13 divide k(2)?
True
Is (-6)/36 - 166225/(-150) a multiple of 2?
True
Let g(b) = 4*b**2 - 34*b + 97. Is g(-28) a multiple of 93?
True
Let o = 12695 + -8411. Is 34 a factor of o?
True
Let w(z) be the third derivative of -5*z**4/24 - z**3/2 - 3*z**2. Let r be 0 + 10 + -6 + -8. Is 7 a factor of w(r)?
False
Let h(b) = 3*b - 47. Let g be h(8). Let z = g - -25. Suppose 0 = 2*p - 2*i - 228, z*p - 346 = -p + 5*i. Is 13 a factor of p?
False
Let q(o) = -5 + 10 + 2*o + 4*o**2 + 43*o**2. Does 85 divide q(4)?
True
Let y = -264 + 266. Suppose -y*n + 708 = 2*c, -138 = n - 5*c - 480. Is 22 a factor of n?
True
Suppose -214 + 208 = -6*i. Is -7 + (i + 668)/3 a multiple of 55?
False
Let y(r) = 431*r - 4031. Is 33 a factor of y(12)?
False
Suppose 3*w - 456 = 6*x - 9*x, -3*w + 488 = -5*x. Let t = 538 - w. Is t a multiple of 14?
False
Let a be (3 + -4 - -5) + 1 + -1. Suppose 2*r - a*r = 5*f - 16, 0 = 4*f + 5*r - 23. Suppose -28 - 58 = -f*v. Is v a multiple of 5?
False
Let r(g) = 8184*g**3 - 5*g**2 + 5. Does 66 divide r(1)?
True
Suppose 0 = z - 638 - 52. Suppose 16*t - 10*t = z. Suppose 0 = -5*f + t + 25. Does 5 divide f?
False
Suppose 1 = 5*h + 21, -4*q - 4*h - 4 = 0. Suppose -6*t + 5*t = q*b - 195, 4*b - 3*t = 260. Suppose b = 3*u - 82. Is 8 a factor of u?
False
Suppose 0 = 3*j - 0*j, -4*j + 13296 = 3*y. Is 16 a factor of y?
True
Suppose 60*i - 479311 = 290549. Is 27 a factor of i?
False
Suppose -6*m + 138 - 102 = 0. Is (m + -9)*358/(-3) a multiple of 36?
False
Is (-10)/(35/((-27965)/34)) a multiple of 6?
False
Suppose 36*d - 1213597 = -961242 + 1295213. Does 31 divide d?
False
Suppose 0 = -3*s - 2*p + 59, -3*s + 0*s + 2*p + 55 = 0. Let z = s - -71. Suppose 72 = 3*t - z. Is t a multiple of 6?
True
Suppose 2*p - 4*j - 46184 = 0, j - 23113 = 77*p - 78*p. Is p a multiple of 38?
False
Does 41 divide 205/(6*(-20)/(-888))?
True
Suppose 5*k = 1 + 9. Let d = 6 - 1. Suppose w - k*y = 97, y = -0*w + d*w - 494. Is 15 a factor of w?
False
Suppose -21*q = -18*q - 9. Suppose -4*g - 4*d + 876 = 0, -4*g - 2*d = -657 - 217. Suppose q*y - g = 4*n, -2*y + 5*n + 140 = n. Is 26 a factor of y?
True
Suppose -181 = 3*t + 440. Let y = 209 + t. Is y even?
True
Let v(y) = 3*y + 6. Let q be v(6). Let a be 1*-4*1350/q. Is 11 a factor of a/(-20) - (-3)/(-12)?
True
Let t = -62 - -59. Let w be (-2)/t - (-66)/9. Suppose 266 = -m + w*m. Does 9 divide m?
False
Let f(w) be the second derivative of -w**3/2 + 23*w**2/2 - 5*w - 248. Let h be 74/(-4) + (-2)/(-4). Is 19 a factor of f(h)?
False
Let y(g) = -42*g - 1100. Is 4 a factor of y(-66)?
True
Suppose 0 = 4*j - 2*j - 8. Suppose -3*a - j*c = 14, -3*c = -4*a + 6*a + 11. Suppose 0 = 2*h - 5*n - 131, h + a*n = 3*h - 140. Is 12 a factor of h?
False
Suppose -8 + 48 = 8*f. Suppose 0 = -7*m + f*m - 790. Is 4 a factor of 2/(-7) - (-1 + m/35)?
True
Suppose 10*i + 1425 = -5*i. Is 4 a factor of (-3 + -39)/6 - i?
True
Let g(x) be the first derivative of 56*x**2 - 70*x - 46. Does 49 divide g(5)?
True
Let o be (76/266)/(1/63). Is 68 a factor of (-48)/(-5)*765/o - 0?
True
Let a(j) = -42 + 10*j**2 + 18 + 29 + 6*j. Is 10 a factor of a(-2)?
False
Suppose -49002 = -5*x + p, 3*x - 11561 = 5*p + 17849. Is 20 a factor of x?
True
Is 54 a factor of 54*4/12*9342/12?
False
Suppose 4*z - 185422 - 60305 = 3*n, 5*z - 307176 = -2*n. Is z a multiple of 313?
False
Let f(o) = 70 + 25 + 81 + 2*o - 43. Let b = 2 + -2. Is 26 a factor of f(b)?
False
Suppose -1837995 = -120*f - 551715. Does 27 divide f?
True
Let t(f) = 3850*f**2 + 222*f + 222. Is t(-1) a multiple of 22?
True
Let o(k) = 17*k - 6. Let t be o(-13). Let v = t + 274. Does 16 divide v?
False
Let l = -537 - -666. Suppose -l = -3*q + 1023. Is 9 a factor of q?
False
Suppose -467*v = -257*v - 8561280. Does 208 divide v?
True
Suppose -314*q = -382*q + 646884. Is q a multiple of 63?
True
Let s(j) = -89*j - 11. Suppose t + 235 = 3*i, 164 = 4*i + 4*t - 144. Let r = i - 80. Is s(r) a multiple of 32?
False
Suppose -2*j = -385 + 131. Let c = j - 17. Is 10 a factor of c?
True
Let i be 6/24 - 7/(-4). Suppose i*s = 4*s. Suppose s = a + 3*a - 108. Does 5 divide a?
False
Let b = -202 + 216. Suppose -13*n - 161 = -b*n. Is 23 a factor of n?
True
Suppose -8*x - 7*x + 248928 = -7*x. Does 12 divide x?
True
Suppose 62*f - 486801 = -6*f - 45685. Is f a multiple of 13?
True
Suppose -11*o = -19*o + 16. Suppose -l = -o*t - 8, -11 = -2*t + 7*t + 2*l. Let d(s) = -31*s - 2. Does 32 divide d(t)?
False
Let r be -1 - 5/(35/(-7)). Suppose r = -11*w + 6*w + 1360. Is w a multiple of 17?
True
Suppose 26*t - 11434 + 2048 = 0. Is 69 a factor of t?
False
Is 27 a factor of (-567617)/(-725) + (-681)/(-75) + - | {
"pile_set_name": "DM Mathematics"
} |
3 composite?
True
Is 24197 prime?
True
Is 38447 a composite number?
False
Is 38217 a prime number?
False
Is 98489 a prime number?
False
Is 774337 prime?
True
Is 5113 a prime number?
True
Is 29297 a prime number?
True
Is 395407 composite?
False
Is 449921 a composite number?
False
Is 1222055 a prime number?
False
Is 8923 a composite number?
False
Is 297898 a prime number?
False
Is 53467 prime?
False
Is 4201 composite?
False
Is 79269 composite?
True
Is 650017 prime?
True
Is 11623 a prime number?
False
Is 260111 a composite number?
False
Is 62921 a composite number?
False
Is 22739 prime?
True
Is 7065239 a composite number?
False
Is 365649 composite?
True
Is 4533 a composite number?
True
Is 184153 a composite number?
False
Is 26551 composite?
True
Is 143599 a prime number?
False
Is 33491 prime?
False
Is 2253637 prime?
True
Is 10063 a prime number?
False
Is 180179 a composite number?
False
Is 445343 composite?
True
Is 2362637 a composite number?
False
Is 13241 a composite number?
False
Is 20071 prime?
True
Is 67519 composite?
True
Is 881291 a prime number?
False
Is 111029 a prime number?
True
Is 19541 composite?
False
Is 10623 prime?
False
Is 683 prime?
True
Is 206501 prime?
True
Is 440599 prime?
False
Is 2479 prime?
False
Is 55381 prime?
True
Is 18949 composite?
True
Is 7271 prime?
False
Is 3673543 a composite number?
True
Is 55267 a prime number?
False
Is 38501 prime?
True
Is 425993 a prime number?
False
Is 8423401 composite?
True
Is 20697 a composite number?
True
Is 1260403 a prime number?
False
Is 94049 a composite number?
False
Is 11351 prime?
True
Is 6619 a prime number?
True
Is 2102917 composite?
True
Is 2609 composite?
False
Is 14023 a prime number?
False
Is 808579 a composite number?
False
Is 83639 a composite number?
False
Is 51839 a composite number?
False
Is 39587 prime?
False
Is 3149 prime?
False
Is 9853 a prime number?
False
Is 389579 prime?
True
Is 508135 prime?
False
Is 11681 a composite number?
False
Is 3244139 a composite number?
True
Is 9983 a composite number?
True
Is 1067 a composite number?
True
Is 13501 a composite number?
True
Is 210747 a prime number?
False
Is 3924181 prime?
True
Is 62387 prime?
False
Is 1169569 composite?
True
Is 6947 composite?
False
Is 385709 composite?
False
Is 4153 a prime number?
True
Is 20987 prime?
False
Is 34631 composite?
False
Is 925142 composite?
True
Is 242929 prime?
False
Is 1266869 a composite number?
False
Is 39329 a prime number?
False
Is 8079 a composite number?
True
Is 42838 a composite number?
True
Is 130927 prime?
True
Is 1131821 a prime number?
True
Is 41333 prime?
True
Is 78466 a composite number?
True
Is 21313 a prime number?
True
Is 62365 composite?
True
Is 9511 prime?
True
Is 4193 a prime number?
False
Is 172933 prime?
True
Is 380927 a composite number?
True
Is 60289 a composite number?
False
Is 3394121 a composite number?
True
Is 182681 composite?
False
Is 2721 a prime number?
False
Is 113899 prime?
True
Is 111157 composite?
True
Is 92329 a prime number?
False
Is 5079 a composite number?
True
Is 7057 prime?
True
Is 1806683 a composite number?
False
Is 9778 prime?
False
Is 60077 a composite number?
False
Is 252013 a prime number?
True
Is 144439 composite?
False
Is 34271 a composite number?
True
Is 2053 composite?
False
Is 56831 prime?
False
Is 328093 composite?
False
Is 73613 a composite number?
False
Is 110281 composite?
False
Is 551557 a composite number?
False
Is 2767 a composite number?
False
Is 31159 a prime number?
True
Is 1363 a composite number?
True
Is 25689 composite?
True
Is 622691 a composite number?
True
Is 195253 composite?
False
Is 5099 composite?
False
Is 100559 composite?
False
Is 1949 prime?
True
Is 136333 composite?
False
Is 6619 composite?
False
Is 3442 prime?
False
Is 894091 composite?
True
Is 1161323 prime?
False
Is 88429 prime?
False
Is 1399 prime?
True
Is 109787 a prime number?
False
Is 9179 a prime number?
False
Is 3299 composite?
False
Is 76597 prime?
True
Is 294383 prime?
True
Is 5045 prime?
False
Is 9167 prime?
False
Is 500959 a prime number?
False
Is 144479 a composite number?
False
Is 5189 prime?
True
Is 29987 a prime number?
False
Is 102137 a composite number?
True
Is 699931 a composite number?
False
Is 1924793 composite?
True
Is 156167 composite?
True
Is 5779 a prime number?
True
Is 953083 a prime number?
False
Is 91473 a prime number?
False
Is 134989 composite?
False
Is 24869 composite?
True
Is 1584389 a composite number?
False
Is 16597 a prime number?
False
Is 9655 composite?
True
Is 25367 composite?
False
Is 1477 prime?
False
Is 778823 prime?
False
Is 293719 a composite number?
True
Is 50497 prime?
True
Is 44071 composite?
False
Is 108863 prime?
True
Is 2138053 prime?
False
Is 74615 composite?
True
Is 155609 prime?
True
Is 254 composite?
True
Is 21955 prime?
False
Is 29123 composite?
False
Is 17191 prime?
True
Is 12643 a composite number?
True
Is 35023 prime?
True
Is 48935 a composite number?
True
Is 17693 a composite number?
True
Is 208111 a composite number?
False
Is 14961 composite?
True
Is 110969 composite?
False
Is 36721 prime?
True
Is 294821 composite?
False
Is 33679 a prime number?
True
Is 2813 a prime number?
False
Is 1041 a composite number?
True
Is 2743691 a composite number?
False
Is 52495 a composite number?
True
Is 154709 a composite number?
True
Is 138667 a composite number?
True
Is 3925327 a prime number?
False
Is 553 a composite number?
True
Is 74597 composite?
False
Is 31973 a prime number?
True
Is 152013 prime?
False
Is 409 composite?
False
Is 12661 prime?
False
Is 63694 composite?
True
Is 8849 composite?
False
Is 49057 a composite number?
False
Is 7739 a composite number?
True
Is 428731 a composite number?
False
Is 6757 prime?
False
Is 122831 a prime number?
False
Is 27203 composite?
True
Is 21313 prime?
True
Is 25013 a composite number?
False
Is 37491 a composite number?
True
Is 251 prime?
True
Is 19297 prime?
False
Is 799 a prime number?
False
Is 88045 a prime number?
False
Is 320899 a prime number?
True
Is 2333 prime?
True
Is 42629 a composite number?
True
Is 6245 a composite number?
True
Is 13441 a prime number?
True
Is 406037 prime?
True
Is 6421 a composite number?
False
Is 48259 a composite number?
False
Is 601603 prime?
False
Is 1693411 composite?
False
Is 54371 a prime number?
True
Is 1559 composite?
False
Is 14941 prime?
False
Is 285221 a composite number?
False
Is 58553 a composite number?
True
Is 99191 a prime number?
True
Is 16343 prime?
False
Is 99961 composite?
False
Is 1346243 a prime number?
True
Is 1505017 prime?
False
Is 27953 a prime number?
True
Is 684407 a composite number?
False
Is 158293 a prime number?
True
Is 2179 a prime number?
True
Is 323 a composite number?
True
Is 1485413 prime?
True
Is 24749 composite?
False
Is 324127 composite?
True
Is 120067 composite?
False
Is 28883 a prime number?
False
Is 20771 prime?
True
Is 189811 a prime number?
False
Is 9977 a prime number?
False
Is 413651 a prime number?
False
Is 101299 composite?
True
Is 19937 a prime number?
True
Is 1316479 a composite number?
False
Is 419947 a composite number?
True
Is 173473 composite?
False
Is 4095935 a prime number?
False
Is 7817 composite?
False
Is 177739 a composite number?
False
Is 427279 prime?
True
Is 23771 prime?
False
Is 6121 prime?
True
Is 10171 a prime number?
False
Is 104621 a prime number?
False
Is 205385 composite?
True
Is 382337 composite?
True
Is 109749 a composite number?
True
Is 42031 a composite number?
True
Is 50689 a prime number?
False
Is 5959 prime?
False
Is 12437 a composite number?
False
Is 1764947 a composite number?
True
Is 897383 a prime number?
False
Is 16255 a prime number?
False
Is 54083 composite?
False
Is 67499 a composite number?
False
Is 9103 composite?
False
Is 9983 a prime number?
False
Is 261847 a composite number?
False
Is 17769 composite?
True
Is 884693 a prime number?
True
Is 47621 composite?
True
Is 576377 a composite number?
False
Is 563 a composite number?
False
Is 70865 composite?
True
Is 132901 a composite number?
True
Is 39329 a composite number?
True
Is 1397 prime?
False
Is 310211 prime?
False
Is 1227769 prime?
True
Is 23441 a prime number?
False
Is 15161 a composite number?
False
Is 620159 composite?
False
Is 122527 a prime number?
True
Is 4831 composite?
False
Is 2539 a composite n | {
"pile_set_name": "DM Mathematics"
} |
= c**2 + 12*c - 30. Calculate the remainder when i(-20) is divided by 31.
6
Let k(i) = i**3 - 4*i**2 + 33*i - 41. What is the remainder when k(11) is divided by 78?
77
Let n(h) = -210*h - 1306. Calculate the remainder when n(-16) is divided by 98.
94
Let n(f) = -2671*f - 1348. Calculate the remainder when n(-1) is divided by 1308.
15
Calculate the remainder when 211 is divided by 6 - (-17)/(153/1809) - (-2)/1.
2
Let j = -2786 - -4076. Suppose 0 = -525*v + 531*v - j. What is the remainder when v is divided by 44?
39
Let j(c) = -c - 29. Let x be j(-11). Let t(z) = z**3 + 20*z**2 + 26*z - 9. Let g be t(x). Suppose -3*u = 24 - g. What is the remainder when u is divided by 10?
9
Suppose 71*y + 126 = 73*y. Calculate the remainder when 28 is divided by 80/35*1 + (-18)/y.
0
Suppose -2*d = -5*d - 5*y + 4, -13 = -4*d + y. Suppose 193 - 301 = -12*i. Calculate the remainder when i is divided by d.
0
Let a = -11373 + 11540. Calculate the remainder when 506 is divided by a.
5
Suppose -466 = -68*k + 302 + 660. Calculate the remainder when 204 is divided by k.
15
Suppose 2*f + 3 = 11. Suppose -f*w - 5*q + 212 = 0, 2*w - 3*q = -3*w + 228. Calculate the remainder when w is divided by 26.
22
Let s(p) = 2*p**3 + 35*p**2 - 7*p - 69. Calculate the remainder when s(-17) is divided by 31.
29
Let q(g) = g + 0*g - 5 - 3*g - 2*g. Calculate the remainder when q(-9) is divided by (-6 - -1)*(-56)/40.
3
Let g be (-1 - -4)*(-5 + (-200)/(-24)). Suppose 142 = 8*k - 18. What is the remainder when (-8532)/(-270) + 2*2/g is divided by k?
12
Let o(b) = -4*b**2 + 46*b - 29. Let r(f) = 2*f + 24. Let m be r(-7). Calculate the remainder when o(m) is divided by 12.
7
Suppose -378707 = -756*f + 180290 + 226487. What is the remainder when f is divided by 80?
79
Let d = 44 - 44. Suppose 78 = 3*o - 0*o + 4*m, -3*m - 9 = d. Suppose -4 = 4*l - 28. Calculate the remainder when o is divided by l.
0
Let d(v) = v - 1. Suppose 10*x - 28 = 3*x. Let w be d(x). What is the remainder when (0 + w + -2)*77 is divided by 20?
17
Suppose 7*m = -41*m + 2880. Calculate the remainder when 131 is divided by (-1164)/(-15) - (-3)/m*-12.
54
Let t(g) = -5*g - 31. Suppose -5*b + 52 = -3*c, -5*b + 2 - 7 = 0. Let h be t(c). Suppose z - h = -3*z. Calculate the remainder when 62 is divided by z.
14
Let n(z) = -388*z + 18. Let k be n(1). Let m = 377 + k. What is the remainder when 22 is divided by m?
1
Suppose -3*t + 5*a = -11 - 68, 2*t - 5*a - 56 = 0. What is the remainder when t is divided by 34/((-155)/(-186) - 14/(-12))?
6
Let m(j) = 4*j**2 + 3*j. Suppose h - 51 = q, -117 = -4*h - 4*q + 119. What is the remainder when h is divided by m(1)?
6
Suppose -o - 2*c + 5*c + 20 = 0, -3*o + 16 = 2*c. Suppose -12*l = -13*l + o. What is the remainder when 47 is divided by l?
7
Let p(f) = 6*f**2 - 28*f + 97. Calculate the remainder when 443 is divided by p(6).
8
Let n(p) = p**3 + 33*p**2 + 177*p. What is the remainder when 587 is divided by n(-7)?
27
What is the remainder when 18270/3480*-8*229/(-6) is divided by 24?
19
Let n(y) = -17*y + 10. Let m be n(3). Let w = 196 - 113. Calculate the remainder when w is divided by (-7)/(-3)*(-492)/m.
27
Suppose 5*d - 365 = q, 1 = -2*q + 11. Calculate the remainder when 468 is divided by d.
24
Let q = -16184 - -16346. What is the remainder when q is divided by 50?
12
Let t = -4 - 12. Let v = t - -47. Calculate the remainder when 92 is divided by v.
30
Let o(m) = 74*m**2 + 82*m - 422. Calculate the remainder when o(5) is divided by 7.
4
Let j(l) = -4*l**2 - 26*l - 4. Let x be j(-6). Let k = 3 + x. What is the remainder when 283 is divided by k?
8
Let i be -3*((-1)/3 + 1). Calculate the remainder when 4/(((-192)/132)/(-4)) - -90 is divided by i/(-4)*-2*-17.
16
Suppose 0 = 176*m - 180*m + 40. Let q(g) = g**2 - 6*g + 1. Let o be q(15). Let n = o - 69. What is the remainder when n is divided by m?
7
Let u be 4 + (-2)/1 + 0. Let n be ((-170)/50 + (-12)/20)*-2. Suppose 0 = x - u - n. What is the remainder when 47 is divided by x?
7
Let r(p) = p**2 + 40*p + 18. Suppose -4*u = -4*g + 152, 4*g + 50 = -2*u - 38. Let l = -58 - -91. What is the remainder when l is divided by r(u)?
15
Let h(c) = -c**3 - c**2 + 378*c - 32. Suppose -n - 2*n + 64 = b, 12 = n + 5*b. Calculate the remainder when n is divided by h(-20).
6
Suppose 2*j = -95 + 65. Let n be j*(54/(-15) - -4). What is the remainder when 130 is divided by 0 + (-200)/(-6) - (-2)/n?
31
Suppose -5*h - 13 = -2*o + 4, 0 = 2*o + 3*h + 7. What is the remainder when 644 is divided by 4 + 1 - (-46 + o - -7)?
42
Suppose 10*t = -50 + 150. Suppose -5*v + 13 + 52 = 0. What is the remainder when v is divided by t?
3
Suppose 978*m = 942*m + 396. Let a(u) = u**3 - u**2 - 4*u - 1. Calculate the remainder when a(4) is divided by m.
9
Suppose 65*d - 17*d = 816. What is the remainder when 27 is divided by d?
10
Let v = 12 - 17. Let s = v + 8. What is the remainder when (9 - -2)*((-192)/66)/(-8) is divided by s?
1
Suppose -10 = -4*u + 6. Let h = 1458 - 1455. Suppose -h*s + p = -39, u*s + p - 42 = -p. What is the remainder when s is divided by 5?
2
Let f(r) = -125*r + 3621. Calculate the remainder when f(15) is divided by 864.
18
Suppose 0 = -268*u + 1822021 + 87211. Calculate the remainder when u is divided by 43.
29
Let d = 249 - 248. Calculate the remainder when 103 is divided by (2/d)/(5 - (-133)/(-28)).
7
Suppose -50 - 443 = -68*d + 731. Suppose -v = -3*o + 2*v + 6, 0 = 2*o - 4*v. What is the remainder when ((-66)/o)/((-2)/4) is divided by d?
15
Suppose -45 = 2*n + 3*r, 4*n + 85 = -r - 0*r. What is the remainder when 32 is divided by (-36)/n*(-21)/(-6) - 3?
2
Suppose -10 = -2*t - 2*c - 2*c, -4*t + c - 16 = 0. Let x be (24/(-40))/(t/15). Calculate the remainder when 30 is divided by (12/(-5))/(x/(-10)).
6
Suppose 0 = -5*h + 2*s + 493, 0*h - 499 = -5*h - 4*s. Let f = -48 + h. Let i(j) = j**2 - 5*j + 7. Calculate the remainder when f is divided by i(6).
12
Let z(r) = 6*r + 84. Let f be z(-12). Suppose 3*p + l = 52, 4 = 4*l + f. What is the remainder when p is divided by 13?
5
Let w(t) = -13*t + 18. Suppose -2*b = b - 12, 0 = -2*h - 3*b + 12. What is the remainder when 63 is divided by w(h)?
9
Let y(x) be the third derivative of -x**6/120 - x**5/30 + x**4/2 - x**3/6 - 102*x**2. Calculate the remainder when 19 is divided by y(-5).
5
Let s be (70 - 41) + 3*-1. Suppose 0 = 2*a - o - 0*o - 14, -8 = -2*a + 4*o. What is the remainder when -1*(-30)/20*s*1 is divided by a?
7
Let x = -8725 + 8867. What is the remainder when 835 is divided by x?
125
Suppose 12*g - 3104 + 1728 = 3460. What is the remainder when g is divided by 28?
11
Let a(o) = o**3 - 3*o**2 + 5*o - 2. Let x(h) = h**3 + 3*h**2 - 9*h + 17. What is the remainder when a(5) is divided by x(2)?
16
Let r(y) = 71*y + 189. Calculate the remainder when r(6) is divided by 52.
43
Suppose c + 2*b - 4 = 0, -b + 2 = c - 4. Let j be -2 - (-2 + -5 - 0). What is the remainder when (-224)/(-10) - 2/j is divided by c?
6
Suppose -4*o + o = x - 10, -3 = -3*x. Suppose -o*j + 0*j = -3150. Suppose 6*q = -4*q + j. Calculate the remainder when q is divided by 53.
52
Suppose -54*q - 90*q = -3945 - 15207. Let a = 41 - 7. Calculate the remainder when q is divided by a.
31
Suppose 5*q + 5 = -5*z, 1 = -3*z + 4*q + 5. Suppose 21*n - 12*n - 216 = z. Let h = 24 - 11. What is the remainder when n is divided by h?
11
Let n(v) = 354*v**3 - 3*v**2 + 33*v - 31. Calculate the remainder when n(1) is divided by 33.
23
Suppose 6923 = 5*w - c, -3*w + 8*c + 2075 = -2101. What is the remainder when w is divided by 34?
24
Suppose -1469*s + 1472*s - 899 = c, 302 = s + 2*c. What is the remainder when s is divided by 41?
13
Suppose 6*r - 4*r - 4*g = 1452, -5*r + g + 3684 = 0. Calculate the remainder when r is divided by 185.
183
Let b(z) = z**3 - 8*z**2 - 7. Let c = 42 - 29. Let r = c + -4. Calculate the remainder when b(r) is divided by 19.
17
Suppose -9*p + 17*p + p - 666 = 0. Calculate the remainder when 84 is divided by p.
10
Let m = 129 + -132. Calculate the remainder when (-715)/m - (-7 - (-152)/24) is divided by 48.
47
Let n(a) = 6*a - 47. Let t be n(12). Suppose -c + 7*h + t = 2*h, 0 = c + 2*h - 4. Suppose -4*q + 84 = -56. What is the remainder when q is divided by c?
5
Let a = -65 - -109. Suppose 10*r = -4*i + 12*r + 1926, 3*i - 4*r - 1437 = 0. C | {
"pile_set_name": "DM Mathematics"
} |
/5) - (-39)/(-4). Let y be 4 - ((-39)/v + (-28)/70). What is the smallest value in -0.06, 2, y?
-0.06
Let w be 5*((-8)/140 + 0). Let o = -4.91 - -3.91. Which is the third smallest value? (a) 0 (b) o (c) -3 (d) w
d
Let r = -3809.2 - -3810. Suppose 2 = n - 0*i + 5*i, 5*n - 10 = i. Which is the third smallest value? (a) 0 (b) r (c) n
c
Let o = -8.39 - -8.89. Which is the fourth biggest value? (a) -4/5 (b) o (c) -0.1 (d) -1/2
a
Let x(k) = -k + 4. Let h be x(1). Let p = h + -7. Which is the third biggest value? (a) -0.02 (b) 1 (c) p
c
Let r = -1/98 - 193/294. Which is the biggest value? (a) -26 (b) r (c) -1/3 (d) 2/11
d
Let q = 2 - 3. Let w = q + -3. Let u = 1140.5 - 1141. What is the smallest value in w, -2/23, u?
w
Let o be (-10)/(-4) + 1/(-1). Let p be 67/7 + 132/(-33) - 5. Which is the biggest value? (a) 1 (b) -1 (c) o (d) p
c
Suppose 44 = -3*z + 50. What is the smallest value in 1, z, 0.18?
0.18
Let k(w) = -w**3 - 10*w**2 - 15*w + 8. Let p be k(-8). Suppose p = -5*g - 5 + 5. Let y = 1 + -1.1. Which is the third smallest value? (a) -6/11 (b) g (c) y
b
Let v = -213 - -239.6. Let d = -27.73 + 0.73. Let p = v + d. Which is the third smallest value? (a) -4 (b) p (c) -0.1
c
Let y = 2069.7 - 2070. Let u = 3 - 3.1. Let w = -2.5 - -2. Which is the biggest value? (a) u (b) y (c) w
a
Let o = -620 - -622. What is the third smallest value in o, 8, -1/12?
8
Suppose -n - 4*o = 37, -26 = 2*n - 2*o + 18. Let m = -29 - n. Let f be 1 + 0 + -5 - m. What is the third biggest value in f, 1, -1?
-1
Let f = 754.149 + -756. Let v = f + -0.149. Which is the biggest value? (a) v (b) -4 (c) 0.3 (d) -2/3
c
Let j(v) = 2*v - 6. Let x be j(-12). Which is the third smallest value? (a) x (b) -0.2 (c) 0 (d) -1
b
Suppose 23 = 3*n - 31. Let p be 10/n + 3/(-3). Let m = -0.038 + -3.962. Which is the biggest value? (a) p (b) -1/3 (c) m
b
Let y = -20 - -27. Suppose 0 = 3*q + 2*o - 3, -q - 4*o = -18 + y. Which is the fourth smallest value? (a) 2 (b) -0.1 (c) 2/13 (d) q
a
Let t = -2 - -0.5. Let s = -3.5 + t. Let y = s + 5.2. Which is the second biggest value? (a) y (b) -0.4 (c) -5
b
Let m = 178 + -174. Which is the third smallest value? (a) 1/4 (b) m (c) -7/2 (d) 3
d
Let z(u) = 20*u + 1. Let h be z(-1). Let i = h + 31. Suppose 5*p + 4*j = 26, 0 = -4*p - j + i. What is the second smallest value in -0.5, p, 3?
p
Let z = -175 - -179. What is the smallest value in -2/51, z, -2?
-2
Let f = 39 - 27. Suppose 15 = -2*t - 5*i, -4*t = -4*i - f - 0. Let g be (3/22)/((-3)/(-4)). Which is the second biggest value? (a) t (b) -1/5 (c) g
a
Let q = 59.4 + -6.4. Let u = 53.5 - q. Let t be 23/5 + 4/10. Which is the smallest value? (a) -2/9 (b) t (c) u
a
Let j = 17.3 - 1.7. Let r = 16 - j. Suppose 4*f + 2 = -2*t, -3*f - 4*t = -2*t - 1. Which is the second biggest value? (a) r (b) 9 (c) f
a
Let s = 6 - 6. Let l = 0.1 - -0.1. What is the second smallest value in -2/5, s, l?
s
Let d be 27 + -29 - (-4 - (-43)/21). What is the smallest value in d, -0.2, 6?
-0.2
Let p = 1760 + -1765. What is the second biggest value in 0, 1/3, 23, p?
1/3
Let o = -0.6328 + 0.8328. Let j = 853/4 - 212. Let t = -0.05 + -0.35. Which is the third smallest value? (a) t (b) o (c) j
c
Let m = -2.972 + -0.028. Which is the second biggest value? (a) -1/17 (b) 3 (c) -2/3 (d) m
a
Let u = 5.6 + -4. Let i = 2 - u. Let l = -276 - -279. What is the biggest value in -3, l, i?
l
Let p = -2 + 7. Let g be (-16)/(-12)*42/196. Which is the second smallest value? (a) g (b) 0 (c) p (d) 2/9
d
Let n = -0.81 + 0.31. Let h be (-2)/294*489/(-24). Let s = 2/147 - h. Which is the biggest value? (a) n (b) 5 (c) s
b
Let j(g) = 9*g**3 + 23*g**2 + 16*g - 15. Let w be j(-16). Let h = 125653/4 + w. Let q = h - 167. What is the third smallest value in 6, q, 1/2?
6
Let o be (54/(-252))/(15/(-20)). What is the second smallest value in o, 1, 11, 0.03?
o
Let l = -16378/21 - -780. Which is the biggest value? (a) l (b) -5 (c) -0.67
a
Let o = -162.4 + 163.4. Let d = -1 + -1. What is the smallest value in 3/8, d, o?
d
Let r = 325 + -323. Which is the second biggest value? (a) r (b) 0 (c) -1/2 (d) -5
b
Let q = 84 - 72.8. Let i = q + -11.2. Let r be ((-2)/16)/((-1)/2). What is the second smallest value in -5, i, r?
i
Let k = -48 - -48.42. Let r = -0.07 - k. Let p = r + -0.01. What is the third biggest value in -1/5, p, 4?
p
Let l = 7/12 - 1/3. Let n = -785 - -2354/3. Which is the second biggest value? (a) l (b) -1/4 (c) n
b
Let r be 20/21 - 4/6. Suppose -y + 5 + 4 = -2*p, 3*y = -5*p - 6. Let c be (2 - 14/3)*p/(-36). What is the third biggest value in 2, r, c?
c
Let l = 168/11 - 325/22. Which is the third biggest value? (a) 2 (b) l (c) -0.007
c
Let g = 0.0903 - 1.3903. What is the fourth smallest value in -21, 5, -5/2, g?
5
Suppose 4*f - 3*b + 2*b + 360 = 0, b = 2*f + 182. What is the second smallest value in -0.1, f, 1/7, 0.3?
-0.1
Let w = 187 - 190. Which is the second biggest value? (a) 0.2 (b) -1/6 (c) 37 (d) w
a
Let g be (2/5)/((-1)/75). Let j be 4/5*g/(-228). Let z = -15/38 - j. What is the second smallest value in z, -4, -1/6?
z
Let b = -0.098 + 0.098. Let c = -3 + 7. Suppose -4*t = -4*r - 24, -c*r + 2*r - t = 9. What is the third biggest value in 2/13, b, r?
r
Let h = -20900/9 + 2320. Let p = h + 107/36. Let g = 1.2 - 0.2. Which is the third biggest value? (a) g (b) -2/11 (c) p
b
Let k = 0.617 + -0.607. What is the smallest value in 0.4, k, 5.5?
k
Suppose -7 = -5*m - 27. Let f be (m - -1) + 48/14. Let x(h) = h**2 + 4*h - 5. Let n be x(-5). What is the smallest value in n, f, 4/7?
n
Let g = 2.6 + -0.85. Let c = g - 1.7. What is the second smallest value in 1, c, 2/3?
2/3
Let s = -15 - -15.5. Let i = -205.4 + 205. What is the second biggest value in s, -1, -4, i?
i
Let g = 13 - 18. Which is the second biggest value? (a) g (b) 13 (c) 0.3 (d) -3
c
Suppose 2*n + 5*d - 63 = -3, 150 = 5*n + 2*d. Let z be n/(-20) + (-10)/(-28). Which is the second smallest value? (a) z (b) -3 (c) -4
b
Let l(q) = -3*q**2 + 7*q - 3*q + 4*q**2. Let i be l(-3). Let x = 11 - 6. What is the third smallest value in 3, x, i?
x
Let p(o) = -o**3 + 9*o**2 - 9*o + 9. Let s be p(7). Let i be s/(-42) - (-2)/(-7). Let d = -3477 - -3476.6. What is the third smallest value in -4, d, i?
d
Let o = -56.2 + 56. Let d = 2.2 - -0.8. Which is the smallest value? (a) d (b) -4 (c) o
b
Let h be 9/6*(-2)/6. Let i be (-1)/3 + (-8)/(-33). What is the third smallest value in -1, h, i?
i
Let i = -18 - -17. Let u(d) = d**3 + 6*d**2 - 16*d - 4. Let r be u(-8). Which is the third smallest value? (a) i (b) 3/2 (c) r
b
Let a be (-90)/(-54)*(-3)/(-15). What is the third smallest value in a, -91, -1?
a
Let k = 26.17 + -26. Let f = k + -2.27. Which is the second biggest value? (a) -5 (b) f (c) 3/5
b
Let f be (-88)/(-176)*6/7. Which is the second biggest value? (a) -0.5 (b) f (c) 4 (d) -15
b
Let u be (3/(-6))/((-7)/6). Let p be 27/6*(-2)/18*-6. Let i be p/(-6)*(-3 + 3). Which is the second biggest value? (a) i (b) u (c) 1
b
Suppose -320*x + 359*x = -156. What is the third smallest value in 6, x, -0.4?
6
Let n = -1/43 + 95/387. What is the smallest value in 4, 0.3, n, -2/9?
-2/9
Let v = -1979/7 - -283. Which is the fourth biggest value? (a) 5 (b) 2/3 (c) 0 (d) v
c
Let t = 42 - 41.912. Let p = 4.912 + t. Which is the third smallest value? (a) p (b) -5 (c) -4/9
a
Let v(b) = b - 4. Let a be (-2)/1*7/(-2). Let s be v(a). Suppose -s*l + 0*l + 2 = 2*f, -3*f + 3*l = 12. What is the second smallest value in 1/4, 0.07, f?
0.07
Let z be 2*(0 + (-2)/(-8)). Let u = -4.37 + -0.53. Let h = 4.9 + u. What is the third biggest value in z, -0.3, h?
-0.3
Let k = 65/553 - -2/79. What is the fourth biggest value in -10, -1, 0.4, k?
-10
Let i = 10 - 6. Suppose 0 = 4*x - 3*f - 22 - 5, -x - f - 2 = 0. Suppose 3*r + c + 8 = -c, -r = -5*c - x. What is the third biggest value in i, r, 0.5?
r
Let b be 224/420*6/4. Let f = 1/2 - 1/6. Let u = 8/15 - f. What is the second biggest value in b, u, 2?
b
Let j = -44 + 66. Let g = -26 + j. Which is the fourth smallest value? (a) g (b) -2 (c) 1/7 (d) 0.4
d
Let y = 760 + -759.95. What is the third smallest value in -5, 2/23, y, -0.4?
y
Let n = 4.3 + -0.3. Suppose 0 = 4*t - 5 - 3. Let z be | {
"pile_set_name": "DM Mathematics"
} |
257
What comes next: -26, -48, -70, -92, -114, -136?
-158
What is the next term in 4230, 4241, 4242, 4227, 4190, 4125?
4026
What is next in 95, 200, 305, 410, 515, 620?
725
What is the next term in 35, 78, 131, 194, 267, 350?
443
What is next in -9996, -19994, -29992, -39990, -49988?
-59986
What comes next: 7, 26, 55, 100, 167, 262, 391?
560
What is next in 19, 30, 53, 94, 159, 254, 385?
558
What is the next term in 55, 110, 163, 214, 263, 310?
355
What is next in -271, -460, -647, -832?
-1015
What is the next term in -23, -26, -29, -32, -35, -38?
-41
What is next in -773, -763, -779, -833, -937?
-1103
What comes next: -67, -301, -699, -1267, -2011, -2937, -4051?
-5359
What is next in 1851, 3698, 5543, 7386?
9227
What is the next term in 6, 8, 6, 0, -10, -24?
-42
What is next in -9626, -9624, -9622, -9620, -9618, -9616?
-9614
What is next in 344, 343, 350, 371, 412, 479?
578
What comes next: 1365, 1366, 1367, 1368, 1369?
1370
What is the next term in 175, 178, 183, 190, 199, 210?
223
What is next in 143, 155, 181, 227, 299?
403
What is the next term in 52, 182, 398, 700?
1088
What comes next: 53, 99, 149, 203?
261
What is next in -2473, -2476, -2477, -2476, -2473?
-2468
What comes next: 15, 15, 23, 45, 87, 155?
255
What comes next: 6026, 6024, 6028, 6044, 6078, 6136, 6224, 6348?
6514
What is the next term in -80, -169, -278, -413, -580, -785, -1034?
-1333
What is next in -188, -497, -1012, -1733, -2660?
-3793
What comes next: 132, 252, 372, 492?
612
What comes next: -37, -45, -53?
-61
What is next in -499, -500, -501, -502, -503, -504?
-505
What comes next: 171, 167, 163?
159
What is the next term in -225, -449, -673?
-897
What is the next term in -9, -13, -29, -63, -121, -209, -333?
-499
What is the next term in 7, 77, 147, 217?
287
What is next in -1608, -1610, -1612?
-1614
What is next in -474, -434, -394, -354?
-314
What is the next term in -163, -322, -467, -592, -691, -758?
-787
What is next in -35, -76, -129, -200, -295?
-420
What is the next term in -1, 4, 9, 14, 19?
24
What is next in 11, 18, 27, 38, 51, 66?
83
What is the next term in -29, -84, -137, -188?
-237
What is the next term in 120, 89, 18, -111, -316, -615?
-1026
What is next in 119, 233, 347, 461, 575, 689?
803
What comes next: -5, 28, 77, 136, 199, 260?
313
What is next in 54, 165, 344, 585, 882, 1229?
1620
What comes next: 26, 78, 216, 482, 918, 1566, 2468?
3666
What comes next: -279, -544, -807, -1068, -1327?
-1584
What comes next: -236, -240, -246, -254, -264, -276?
-290
What comes next: -110, -106, -100, -92, -82, -70?
-56
What is next in -16, -38, -64, -94, -128, -166?
-208
What comes next: 267, 526, 787, 1050, 1315, 1582?
1851
What is next in 33, 148, 425, 942, 1777, 3008?
4713
What comes next: -69, -100, -151, -222?
-313
What is the next term in 36, 41, 46?
51
What comes next: -847, -1692, -2537, -3382, -4227, -5072?
-5917
What comes next: 47, 72, 101, 134, 171, 212?
257
What is next in -2, -33, -82, -149, -234?
-337
What comes next: -83, -166, -249, -332, -415?
-498
What is the next term in 79, 157, 235, 313, 391?
469
What is next in 66, 78, 90, 102, 114, 126?
138
What is next in -8, 15, 40, 67, 96, 127, 160?
195
What is next in -269, -264, -257, -248?
-237
What is next in -413, -838, -1263?
-1688
What is the next term in -623, -2504, -5633, -10004, -15611?
-22448
What is the next term in 71, 75, 81, 89, 99, 111?
125
What is next in 89, 77, 53, 11, -55?
-151
What is the next term in 10, 24, 46, 76, 114?
160
What is next in 55, 84, 113, 142, 171, 200?
229
What is the next term in 1133, 1092, 1037, 974, 909, 848, 797, 762?
749
What is next in -114, -190, -266?
-342
What is next in 461, 465, 469?
473
What is the next term in 28, 127, 394, 913, 1768, 3043, 4822, 7189?
10228
What is next in -86, -168, -250, -332, -414, -496?
-578
What comes next: -292, -582, -872?
-1162
What is the next term in 180, 359, 538, 717?
896
What is the next term in 85, 85, 91, 109, 145, 205?
295
What comes next: -598, -1219, -1842, -2467, -3094, -3723, -4354?
-4987
What comes next: -30, -66, -102, -138, -174?
-210
What is the next term in 789, 796, 807, 822?
841
What is next in -286, -311, -382, -523, -758?
-1111
What comes next: 5473, 5474, 5475, 5476, 5477, 5478?
5479
What is next in 387, 386, 385?
384
What is the next term in -245, -494, -745, -998?
-1253
What is next in -1446, -1444, -1442, -1440?
-1438
What is next in -1, -16, -29, -40, -49, -56?
-61
What is next in -458, -456, -454, -452?
-450
What is next in -40, -76, -110, -142, -172, -200, -226?
-250
What is next in -61, -99, -137, -175, -213, -251?
-289
What comes next: 9, 37, 111, 255, 493, 849, 1347, 2011?
2865
What is the next term in -5, -12, -45, -122, -261, -480, -797?
-1230
What comes next: -54, -85, -180, -375, -706, -1209, -1920?
-2875
What is next in -27, -16, 13, 72, 173, 328, 549, 848?
1237
What is next in 10475, 10474, 10473, 10472, 10471, 10470?
10469
What is next in -49, -51, -51, -49, -45?
-39
What comes next: -31, -34, -35, -34?
-31
What comes next: -1123, -1126, -1137, -1162, -1207, -1278, -1381, -1522?
-1707
What is next in -9731, -9730, -9729?
-9728
What is the next term in -103, -205, -303, -397, -487?
-573
What comes next: 791, 1583, 2375, 3167?
3959
What comes next: 16, -3, -50, -137, -276, -479?
-758
What comes next: 7, 25, 53, 91, 139, 197?
265
What is next in -98, -97, -96, -95?
-94
What comes next: 73, 63, 41, 1, -63, -157?
-287
What is the next term in 9, 37, 85, 153, 241?
349
What is the next term in -42, -76, -108, -138, -166?
-192
What is the next term in 554, 1094, 1634, 2174, 2714, 3254?
3794
What is the next term in 282, 301, 336, 393, 478?
597
What comes next: 1380, 1371, 1350, 1311, 1248, 1155, 1026, 855?
636
What is the next term in 662, 674, 686, 698, 710?
722
What is the next term in -643, -642, -641?
-640
What is the next term in 49, 177, 387, 679, 1053, 1509, 2047?
2667
What comes next: -52, -50, -48?
-46
What is the next term in 117, 478, 1079, 1920, 3001, 4322, 5883?
7684
What is next in -584, -1165, -1746, -2327, -2908?
-3489
What is next in 3, 29, 79, 147, 227, 313, 399, 479?
547
What is the next term in 667, 1334, 2001, 2668, 3335, 4002?
4669
What is next in -44, -93, -126, -137, -120, -69?
22
What comes next: -1148, -2255, -3360, -4463, -5564?
-6663
What is the next term in -535, -539, -545, -553, -563, -575, -589?
-605
What comes next: -10, -41, -100, -193, -326?
-505
What comes next: -3, -9, -33, -87, -183, -333?
-549
What is next in 1315, 2624, 3925, 5212, 6479, 7720, 8929, 10100?
11227
What is next in -7, -41, -75?
-109
What comes next: -45, -105, -211, -369, -585?
-865
What comes next: -653, -654, -655, -656, -657?
-658
What is next in 9, 4, -5, -18, -35, -56?
-81
What is the next term in 1205, 2414, 3625, 4838, 6053?
7270
What is next in 1027, 4121, 9279, 16501, 25787, 37137, 50551?
66029
What is the next term in 263, 261, 263, 269?
279
What is the next term in -570, -1139, -1708, -2277?
-2846
What is next in 26, 31, 46, 77, 130, 211, 326?
481
What comes next: -201, -400, -595, -786?
-973
What is next in -46, -133, -224, -319, -418, -521?
-628
What comes next: -3, 22, 49, 78, 109?
142
What comes next: 3, 18, 49, 102, 183, 298, 453, 654?
907
What is the next term in 718, 707, 694, 679, 662, 643, 622?
599
What is next in -353, -686, -1019?
-1352
What is next in -18, -65, -144, -255, -398, -573?
-780
What is next in -1008, -1010, -1000, -972, -920, -838?
-720
What is next in 1278, 2523, 3770, 5019, 6270?
7523
What is the next term in 710, 716, 710, 686, 638, 560, 446?
290
What is next in -128, -256, -384, -512, -640?
-768
What is the next term in -73, -76, -79, -82?
-85
What is next in 23, 85, 185, 323, 499, 713?
965
What is next in -1640, -1652, -1678, -1724, -1796, -1900, -2042, -2228?
-2464
What is the next term in -1203, -2407, -3611, -4815?
-6019
What comes next: -1030, -1040, -1050, -1060?
-1070
What is next in 41, 34, 7, -52, -155, -314, -541, -848?
-1247
What is next in -174, -347, -520, -693, -866, -1039?
-1212
What is next in -171, -365, -579, -813, -1067, -1341, -1635?
-1949
What comes next: 711, 727, 755, 801, 871, 971, 1107, 1285?
1511
What is next in -57, -63, -73, -87?
-105
What is next in -8, -31, -74, -143, -244?
-383
What is the next term in 36, 66, 90, 108, 12 | {
"pile_set_name": "DM Mathematics"
} |
9, -14983
Put -4, 13, -38, 355, -5, -2, 2 in increasing order.
-38, -5, -4, -2, 2, 13, 355
Put 6, 1, -10, -1, 2, -21, 7 in descending order.
7, 6, 2, 1, -1, -10, -21
Sort 93392, -77, -3, 5 in descending order.
93392, 5, -3, -77
Sort -1/8, 4, 7, -0.78515, -0.3 in ascending order.
-0.78515, -0.3, -1/8, 4, 7
Sort 0.5, -111, -9080 in decreasing order.
0.5, -111, -9080
Sort 1812, 639, 61 in ascending order.
61, 639, 1812
Sort 4, 6090, 1/4, 2, 0, -12 in descending order.
6090, 4, 2, 1/4, 0, -12
Put -1, 26, -85, 4, -5, 301 in increasing order.
-85, -5, -1, 4, 26, 301
Put 119, -841920, -4 in descending order.
119, -4, -841920
Sort -2, 2404, 1, 3, -538.
-538, -2, 1, 3, 2404
Sort 5, 3, 385135, -5, -4 in ascending order.
-5, -4, 3, 5, 385135
Put -10, 4, 10520, -4 in decreasing order.
10520, 4, -4, -10
Sort 2, -1/8, 2/970001.
-1/8, 2/970001, 2
Put -5, -31308, 23 in increasing order.
-31308, -5, 23
Sort 5, 4, -17, -1, -21, 10, -2 in decreasing order.
10, 5, 4, -1, -2, -17, -21
Sort -3, 1, 96, -1, 3/5, 2/105, -4.
-4, -3, -1, 2/105, 3/5, 1, 96
Sort 6, -4, 9, 316 in descending order.
316, 9, 6, -4
Put 16, -1, -2, 23, 3, 270, 6 in decreasing order.
270, 23, 16, 6, 3, -1, -2
Sort -1771, -76, -183, -2 in decreasing order.
-2, -76, -183, -1771
Sort -731, -1, 38, -56.
-731, -56, -1, 38
Sort 18, -4, 384277, -0.09, 4 in decreasing order.
384277, 18, 4, -0.09, -4
Sort 862, -1, 1814.
-1, 862, 1814
Put -0.3, -0.0163, -5, -466, 1/5 in increasing order.
-466, -5, -0.3, -0.0163, 1/5
Put 1146, -2, 8, 2, 1 in increasing order.
-2, 1, 2, 8, 1146
Put -4, 5, -13305818 in ascending order.
-13305818, -4, 5
Sort 1, -1, -30/9343, -11.
-11, -1, -30/9343, 1
Put 2, -2/9, 0.1, 0.177, 119/8 in decreasing order.
119/8, 2, 0.177, 0.1, -2/9
Sort -0.153, 0.1, -1, 2/253, -74 in descending order.
0.1, 2/253, -0.153, -1, -74
Sort -9, 3, 130, 10, -3, -1.
-9, -3, -1, 3, 10, 130
Put 53, -56, 1729 in descending order.
1729, 53, -56
Sort 15, 6364, 56, -4, 5 in ascending order.
-4, 5, 15, 56, 6364
Put 20, -1, 5, 10, -2, -4, 16556 in decreasing order.
16556, 20, 10, 5, -1, -2, -4
Sort -521811, 4, -2/9, 323 in descending order.
323, 4, -2/9, -521811
Put 4, -34, -3, 5, -4, 7, -82 in increasing order.
-82, -34, -4, -3, 4, 5, 7
Sort -4, -14, -7, 204, -1, 5, -36.
-36, -14, -7, -4, -1, 5, 204
Sort 3, -78, 419, 1 in descending order.
419, 3, 1, -78
Sort 1/6, -41, 16/11, -31 in decreasing order.
16/11, 1/6, -31, -41
Sort -1564, 5, 13, -0.5, 2/7.
-1564, -0.5, 2/7, 5, 13
Put -1, 1, 3, -3, 0, 444718, 4 in decreasing order.
444718, 4, 3, 1, 0, -1, -3
Put 5, -0.4, -4, -55153, 3/7, -0.1 in descending order.
5, 3/7, -0.1, -0.4, -4, -55153
Sort 0.006, -21, 210, 0 in decreasing order.
210, 0.006, 0, -21
Sort 1, -2, 419, 264, -5, -6 in ascending order.
-6, -5, -2, 1, 264, 419
Sort 0.0547, 0.1, -2/25, -20 in decreasing order.
0.1, 0.0547, -2/25, -20
Put 0.07, 1, 3/4, -5.7, -7/6, 17/9 in increasing order.
-5.7, -7/6, 0.07, 3/4, 1, 17/9
Put -3, 353189, 3 in ascending order.
-3, 3, 353189
Put 99, 0.06, -1, -2.9, 3/7, -0.5 in decreasing order.
99, 3/7, 0.06, -0.5, -1, -2.9
Put 8/21, 228/13, -2/7645 in decreasing order.
228/13, 8/21, -2/7645
Put 3/2, 2/5, 272, 5, -29, 4, -211 in ascending order.
-211, -29, 2/5, 3/2, 4, 5, 272
Sort -11841, -1/6, -3/4, 0.3, 0.1 in decreasing order.
0.3, 0.1, -1/6, -3/4, -11841
Sort 63, 6, -0.13, -248/5, -2/17 in descending order.
63, 6, -2/17, -0.13, -248/5
Put 19678, -5, 5, -1, 3, -3, 1 in increasing order.
-5, -3, -1, 1, 3, 5, 19678
Sort -5, -420, 1062, 3, 2.
-420, -5, 2, 3, 1062
Sort -1, 101, 52, 7, 4 in increasing order.
-1, 4, 7, 52, 101
Put 2, 97, -203, -20, -4, 5 in decreasing order.
97, 5, 2, -4, -20, -203
Sort 396, 1, -2490 in decreasing order.
396, 1, -2490
Put -0.3, 144, 220.9, 6/5, -1/6 in descending order.
220.9, 144, 6/5, -1/6, -0.3
Put -0.6, -9.11, 62.89 in increasing order.
-9.11, -0.6, 62.89
Sort -2/1865, 0.3, -29/4 in increasing order.
-29/4, -2/1865, 0.3
Sort 0, 3, -7, -3, 108433, -1.
-7, -3, -1, 0, 3, 108433
Sort -150, 2, -8, 0, -732, 4 in increasing order.
-732, -150, -8, 0, 2, 4
Sort -2, -3, 34, 3, 1, 884.
-3, -2, 1, 3, 34, 884
Put 38, 78276, 4, -2, 2, -5 in increasing order.
-5, -2, 2, 4, 38, 78276
Put -2, 57, -4, 2118, 4, 5 in descending order.
2118, 57, 5, 4, -2, -4
Put 7, -1, -2, 524, 47 in descending order.
524, 47, 7, -1, -2
Sort -4885/6, -4, -21.8 in decreasing order.
-4, -21.8, -4885/6
Sort -1, 49, 0.25, -5/4 in increasing order.
-5/4, -1, 0.25, 49
Sort -15717, 5, 38, -2/9 in decreasing order.
38, 5, -2/9, -15717
Put 8, 1, -2/3, -2154 in descending order.
8, 1, -2/3, -2154
Sort 11308, -1188, -2, 3 in increasing order.
-1188, -2, 3, 11308
Put -4, 1505, -7, 960 in descending order.
1505, 960, -4, -7
Sort 1/1294, 31, -7, 5, 1, 7/2.
-7, 1/1294, 1, 7/2, 5, 31
Sort 1, -5, 34, -2, 21880 in descending order.
21880, 34, 1, -2, -5
Put -2, 14, -1072, -3, 4, -1, 6 in increasing order.
-1072, -3, -2, -1, 4, 6, 14
Sort 9/34, 11, 1.413 in descending order.
11, 1.413, 9/34
Sort -2/7, 15, 8, 16.6, 1, -5 in descending order.
16.6, 15, 8, 1, -2/7, -5
Sort 2, 14, 3, 112, -38, 0 in decreasing order.
112, 14, 3, 2, 0, -38
Sort -4, 9, 251, -39.
-39, -4, 9, 251
Put 5, 111, -2, 22, 3, 7 in ascending order.
-2, 3, 5, 7, 22, 111
Sort -2, 292, 967, -4, -1 in descending order.
967, 292, -1, -2, -4
Sort -0.1523, -925, 1, 5/3, 5 in decreasing order.
5, 5/3, 1, -0.1523, -925
Sort -0.1815, 1/2, -0.07034, -2/3 in decreasing order.
1/2, -0.07034, -0.1815, -2/3
Sort -5, -2469, -2454.
-2469, -2454, -5
Sort 19/7, -48, 1/63 in increasing order.
-48, 1/63, 19/7
Put -2, 0, 4, -6, 801956 in decreasing order.
801956, 4, 0, -2, -6
Sort 78428, 4, 1065, 3 in descending order.
78428, 1065, 4, 3
Sort -4, 10, 91450, -0.3 in ascending order.
-4, -0.3, 10, 91450
Put -1, 33, 9081 in decreasing order.
9081, 33, -1
Sort -2/15, -0.09345932, 38 in descending order.
38, -0.09345932, -2/15
Sort -5, 14, -13487 in descending order.
14, -5, -13487
Put 6, -4, 202713 in increasing order.
-4, 6, 202713
Sort -106, -9, -3, -2532 in decreasing order.
-3, -9, -106, -2532
Sort 2, -4, 1, 4, -110357, -3, -10 in ascending order.
-110357, -10, -4, -3, 1, 2, 4
Sort -1, 2/5, 5/6, 112, -5, -41, -4 in ascending order.
-41, -5, -4, -1, 2/5, 5/6, 112
Put 0.92, -73, -3/4, 0, 19/13 in decreasing order.
19/13, 0.92, 0, -3/4, -73
Sort 84, -26158, 3.
-26158, 3, 84
Sort 2/9, 693, -1/4, 23/57 in increasing order.
-1/4, 2/9, 23/57, 693
Put 625, 8, 23, -11, -4, -2 in descending order.
625, 23, 8, -2, -4, -11
Sort 3109, -8, 3/2, 6, 3.
-8, 3/2, 3, 6, 3109
Sort 58, -1, 6021, 4, -5, -4, -2.
-5, -4, -2, -1, 4, 58, 6021
Sort -1/2, 3, -7, 7/4, 45 in ascending order.
-7, -1/2, 7/4, 3, 45
Put -5, -1313, 0, -1, -12 in descending order.
0, -1, -5, -12, -1313
Sort -2, -102779, -0.3, -4, 1/3.
-102779, -4, -2, -0.3, 1/3
Sort -1, -280, 26, 38.
-280, -1, 26, 38
Sort 30, 5, 697, 3, 2, -2559 in descending order.
697, 30, 5, 3, 2, -2559
Put -1, 3, 0, -4, -389631 in decreasing order.
3, 0, -1, -4, -389631
Sort -482/185, -0.2, 42, 0.3, -1/10 in decreasing order.
42, 0.3, -1/10, -0.2, -482/185
Sort 162, 77176, 2 in descending order.
77176, 162, 2
Sort 6, -5, 0.4, -71, -0.2 in ascending order.
-71, -5, -0.2, 0.4, 6
Put -0.2, -6.9, -9, 4/15, 32.4 in descending order.
32.4, 4/15, -0.2, -6.9, -9
Sort -0.1, 535, 0.4, 695/3, 1/3 in decreasing order.
535, 695/3, 0.4, 1/3, -0.1
Put -99, -13, -3, -43 in increasing order.
-99, -43, -13, -3
Put 2/17, -2, 3, -5.7, 797.3 in decreasing order.
797.3, 3, 2/17, -2, -5.7
Sort -0.5, 32/6695, -4/167 in ascending order.
-0.5, -4/167, 32/6695
Sort 6, -2, 3, -3, -1, -5, -24 in decreasing order.
6, 3, -1, -2, -3, -5, -24
Sort 9485, -17, 5, -1, -3/5.
-17, -1, -3/5, 5, 9485
Sort -443534, -5, -0.1, 1, -0.5.
-443534, -5, -0.5, -0.1, 1
Put 1782, 1, -3, -5, 18 in decreasing order.
1782, 18, 1, -3, -5
Put 102, 1, 4, -3, 47, -2, -1 in descending order.
102, 47, 4, 1, -1, -2, -3
Sort -7/4, 2/7, -6.8, -181/3, -0.3 in increasing order.
-181/3, -6.8, -7/4, -0.3, 2/7
Put -7, 10, 8199, -3, 2, 3, 0 in decreasing order.
8199, 10, 3, 2, 0, -3, -7
Sort 0, -2/9, 208794427.
-2/9, 0, 208794427
Sort -19, 0, -31.45, 0.4, -1/7 in ascending order.
-31.45, -19, -1/7, 0, 0.4
Put -7, -82, 7, -2, 19, 11, -1 in increasing order.
-82, -7, -2, -1, 7, 11, 19
Sort 2105/57 | {
"pile_set_name": "DM Mathematics"
} |
ext term in 3721968, 3722023, 3722078?
3722133
What comes next: -20590, -82175, -184748, -328309, -512858, -738395, -1004920?
-1312433
What is the next term in 2602196836, 2602196835, 2602196834?
2602196833
What comes next: 33289, 33227, 33167, 33109, 33053?
32999
What comes next: -270515, -271512, -272509, -273506, -274503, -275500?
-276497
What is next in 595, 2488, 5657, 10102, 15823?
22820
What is the next term in -135756415, -271512837, -407269259?
-543025681
What is next in -99, -2703, -9829, -23751, -46743?
-81079
What is next in -8821853, -17643711, -26465569?
-35287427
What is the next term in -1153476, -1153483, -1153494, -1153509, -1153528, -1153551?
-1153578
What comes next: -1165, -4876, -11077, -19792, -31045?
-44860
What comes next: -4730, -8345, -14362, -22775, -33578?
-46765
What is the next term in 23275, 23246, 23221, 23200?
23183
What is the next term in -152081, -304193, -456305, -608417, -760529?
-912641
What is the next term in 63451, 126452, 188541, 249262, 308159?
364776
What is next in -14377, -13876, -13375, -12874?
-12373
What is next in 81459, 81420, 81361, 81282, 81183, 81064?
80925
What is the next term in -6117498, -12234996, -18352494, -24469992, -30587490, -36704988?
-42822486
What is next in -46343, -46417, -46541, -46715, -46939, -47213, -47537?
-47911
What comes next: 308155, 308166, 308177, 308188, 308199, 308210?
308221
What comes next: -1557136, -1557143, -1557150, -1557157?
-1557164
What comes next: 885340, 3541307, 7967890, 14165065, 22132808, 31871095, 43379902?
56659205
What is next in 13366, 12711, 12070, 11449, 10854, 10291, 9766, 9285?
8854
What comes next: -1657373, -6629491, -14916353, -26517959, -41434309?
-59665403
What comes next: -30933, -123671, -278045, -493899, -771077, -1109423, -1508781?
-1968995
What is the next term in 343518, 343504, 343476, 343428, 343354?
343248
What comes next: 123921, 123891, 123837, 123759, 123657, 123531?
123381
What comes next: -63614, -63554, -63496, -63440, -63386?
-63334
What is next in -1467, -1462, -1453, -1440?
-1423
What comes next: 4784705836, 4784705832, 4784705818, 4784705788, 4784705736?
4784705656
What is next in -4231, -4082, -3837, -3460, -2915?
-2166
What is next in 827, 2750, 5753, 9836?
14999
What is next in -14865772, -14865763, -14865756, -14865751?
-14865748
What is next in 8376, 36497, 84356, 151953, 239288, 346361?
473172
What is next in 2685, 2731, 2789, 2853, 2917, 2975, 3021, 3049?
3053
What is the next term in -109679105, -109679106, -109679107, -109679108, -109679109?
-109679110
What is next in 83094, 78802, 74520, 70254, 66010, 61794?
57612
What is the next term in 24228419, 48456830, 72685241, 96913652, 121142063?
145370474
What is the next term in -98454, -196926, -295416, -393924, -492450?
-590994
What is the next term in 80053, 160071, 240065, 320035, 399981, 479903, 559801?
639675
What is next in -89013, -178038, -267095, -356196, -445353, -534578?
-623883
What comes next: 74603, 149182, 223761, 298340, 372919, 447498?
522077
What is next in -2585, -3544, -4503, -5462, -6421?
-7380
What comes next: 59647905, 59647904, 59647903, 59647902, 59647901, 59647900?
59647899
What is the next term in -10854, -23104, -35354, -47604, -59854?
-72104
What is the next term in -20289, -21145, -21999, -22851, -23701, -24549?
-25395
What comes next: 10928, 10986, 11094, 11252, 11460?
11718
What comes next: 25003, 47117, 69231, 91345, 113459?
135573
What is the next term in 1443686, 2887370, 4331044, 5774708?
7218362
What comes next: -789985, -790084, -790183?
-790282
What is next in -36197, -40177, -44151, -48119, -52081, -56037, -59987?
-63931
What is the next term in 11125, 33654, 71189, 123718, 191229?
273710
What is next in -42915, -86077, -129233, -172383, -215527?
-258665
What comes next: -2696, -7004, -11310, -15614, -19916, -24216, -28514?
-32810
What is next in -850859, -851008, -851157, -851306, -851455?
-851604
What is next in 14476, 14645, 15070, 15877, 17192, 19141, 21850, 25445?
30052
What is next in -162478, -324930, -487156, -649042, -810474?
-971338
What comes next: 1141, 4471, 10011, 17761, 27721?
39891
What is next in -17586, -70305, -158170, -281181, -439338?
-632641
What is next in 9699, 19360, 29027, 38700, 48379?
58064
What is next in -4071, -24724, -59145, -107334, -169291?
-245016
What is the next term in 241750, 480827, 719904, 958981, 1198058, 1437135?
1676212
What comes next: 116, 636, 1548, 2852, 4548, 6636, 9116?
11988
What comes next: -31989, -36135, -43045, -52719, -65157, -80359, -98325?
-119055
What comes next: -3976356993, -3976356990, -3976356985, -3976356978, -3976356969, -3976356958, -3976356945?
-3976356930
What is next in -559253, -2236976, -5033105, -8947574, -13980317, -20131268?
-27400361
What is next in -1744, -7008, -15752, -27952, -43584?
-62624
What is next in 550654, 551711, 552768?
553825
What is the next term in -59837, -119908, -179981, -240056, -300133, -360212?
-420293
What comes next: -113340699, -113340700, -113340701?
-113340702
What is the next term in 21556, 21640, 21714, 21772, 21808, 21816, 21790, 21724?
21612
What is next in 114652, 114822, 114996, 115174, 115356, 115542?
115732
What is next in 1107859, 1107705, 1107551, 1107397?
1107243
What comes next: 109517, 217650, 325783, 433916?
542049
What is next in 531, 2378, 5529, 9978, 15719, 22746, 31053?
40634
What comes next: 23932, 96061, 216276, 384577, 600964, 865437?
1177996
What comes next: 22638, 45707, 68772, 91833, 114890, 137943?
160992
What comes next: -573913, -1147831, -1721749?
-2295667
What is next in -586860, -586817, -586764, -586701?
-586628
What is next in 692061, 692254, 692451, 692658, 692881, 693126, 693399?
693706
What comes next: 13329, 113140, 384049, 911604, 1781353, 3078844, 4889625, 7299244?
10393249
What is next in -31806, -31744, -31632, -31464, -31234, -30936, -30564, -30112?
-29574
What is the next term in -88562401, -88562402, -88562403, -88562404, -88562405?
-88562406
What comes next: -1125812, -4503286, -10132410, -18013184, -28145608?
-40529682
What comes next: 422, 2182, 5284, 9728?
15514
What is next in -184801, -739294, -1663449, -2957266, -4620745?
-6653886
What is next in -3640792, -3640808, -3640824, -3640840, -3640856?
-3640872
What comes next: -7108, -7110, -7112?
-7114
What comes next: -9640, -39830, -90156, -160624, -251240, -362010, -492940?
-644036
What is the next term in 4173555, 8347109, 12520663, 16694217, 20867771?
25041325
What is next in -9100, -36270, -81502, -144790, -226128?
-325510
What is the next term in 413, 406, 263, -16, -431, -982, -1669?
-2492
What is next in 1371, 455, -461, -1377?
-2293
What is next in -8580689, -17161390, -25742103, -34322834, -42903589, -51484374, -60065195, -68646058?
-77226969
What is next in -701696, -701883, -702070, -702257?
-702444
What comes next: 1144598, 2289193, 3433780, 4578359?
5722930
What is the next term in -44447, -44521, -44659, -44873, -45175, -45577, -46091?
-46729
What comes next: -120629, -482712, -1086197, -1931096, -3017421, -4345184, -5914397, -7725072?
-9777221
What comes next: 576, 4739, 11652, 21297, 33656, 48711, 66444?
86837
What is next in 1823, 7487, 16965, 30287, 47483, 68583, 93617, 122615?
155607
What comes next: -263847, -527857, -791867, -1055877?
-1319887
What is the next term in -8228567, -16457102, -24685639, -32914178, -41142719, -49371262, -57599807?
-65828354
What is next in 8709, 8286, 7679, 6888?
5913
What is the next term in 1719082, 3438138, 5157194, 6876250, 8595306?
10314362
What is next in -9112478, -9112481, -9112486, -9112493, -9112502?
-9112513
What is the next term in 216, 283, 200, -33, -416, -949?
-1632
What is next in 43, 597, 2253, 5611, 11271, 19833?
31897
What is next in 20388, 40649, 60910?
81171
What is the next term in 1190525, 2381048, 3571571, 4762094?
5952617
What is the next term in 299, 1573, 4379, 9281, 16843, 27629, 42203, 61129?
84971
What comes next: -19602, -19684, -19834, -20046, -20314, -20632, -20994?
-21394
What is next in -345798, -1383234, -3112304, -5533002, -8645322, -12449258, -16944804?
-22131954
What is next in -148430, -148433, -148436, -148439?
-148442
What is the next term in -5, 315, 1003, 2071, 3531, 5395, 7675?
10383
What comes next: -5437, -10268, -14489, -181 | {
"pile_set_name": "DM Mathematics"
} |
test common divisor of 1972 and 687764.
116
Calculate the highest common divisor of 7219115 and 1595.
145
What is the highest common factor of 150 and 1949775?
75
Calculate the highest common factor of 1380 and 10033612.
92
Calculate the greatest common divisor of 3317973 and 2013.
183
What is the greatest common factor of 944 and 301648?
16
What is the highest common divisor of 4244947 and 21?
7
What is the highest common divisor of 59643891 and 419850?
8397
What is the highest common factor of 51858 and 96750?
774
Calculate the greatest common divisor of 675605 and 89320.
35
What is the highest common factor of 577 and 512?
1
Calculate the greatest common divisor of 865198 and 1088.
34
What is the highest common factor of 534177560 and 1974?
658
What is the highest common factor of 540345 and 146455?
85
Calculate the highest common factor of 5021824 and 512.
128
What is the greatest common divisor of 658133 and 3589759?
631
What is the greatest common divisor of 65697 and 183?
183
Calculate the highest common factor of 50067809 and 44.
11
Calculate the greatest common factor of 4351051 and 13443.
4481
What is the highest common factor of 46100 and 32400?
100
What is the highest common factor of 4560780 and 210?
210
What is the greatest common factor of 380689 and 103039?
617
What is the highest common divisor of 55 and 384701592?
11
Calculate the highest common divisor of 360535 and 2135.
35
What is the highest common divisor of 70 and 7362418?
14
What is the greatest common factor of 121124806 and 66?
22
Calculate the greatest common divisor of 939 and 1619364657.
939
Calculate the highest common divisor of 1192 and 221232.
8
Calculate the greatest common divisor of 423500 and 9779.
77
What is the highest common factor of 2756972 and 2407?
29
Calculate the greatest common factor of 5928 and 10588890.
1482
Calculate the highest common factor of 11 and 9861881.
1
Calculate the highest common divisor of 118031 and 185129.
53
What is the greatest common divisor of 270 and 287770?
10
What is the highest common divisor of 116377416 and 3896?
3896
What is the greatest common factor of 5321 and 34459?
17
What is the greatest common factor of 1746912 and 2325?
93
Calculate the greatest common divisor of 43007247 and 171.
9
What is the greatest common divisor of 17219 and 4553526?
257
What is the highest common factor of 379142 and 66641?
647
Calculate the greatest common factor of 1116 and 446004378.
558
What is the highest common factor of 9768 and 4550568?
264
What is the highest common divisor of 314547590 and 140?
70
What is the highest common divisor of 617 and 115105052?
617
Calculate the highest common divisor of 2025072 and 4802.
686
Calculate the greatest common factor of 90945 and 8644005.
2115
What is the greatest common divisor of 3944 and 156802594?
986
What is the highest common divisor of 608076 and 8022?
42
Calculate the greatest common factor of 1290243452 and 652.
652
Calculate the greatest common factor of 17699 and 3223781.
11
What is the greatest common divisor of 3640 and 126455?
35
Calculate the highest common factor of 533 and 16458097.
41
Calculate the greatest common divisor of 23484 and 14208.
12
What is the greatest common divisor of 182228251 and 422?
211
Calculate the highest common divisor of 8095126 and 273.
13
What is the highest common divisor of 4 and 12757676?
4
What is the greatest common factor of 3865059 and 198?
99
Calculate the highest common divisor of 6800542 and 56.
14
Calculate the greatest common divisor of 129222135 and 2520.
315
What is the greatest common factor of 197294 and 11086?
46
What is the highest common divisor of 28585 and 69370?
5
What is the greatest common divisor of 131725 and 34375?
275
What is the highest common factor of 434800 and 4270823?
1087
Calculate the greatest common factor of 177 and 58938699.
177
What is the highest common divisor of 732535 and 29424?
613
What is the highest common factor of 6714453 and 549?
183
Calculate the highest common factor of 325 and 822055.
65
Calculate the greatest common divisor of 449 and 50855087.
449
Calculate the highest common divisor of 649807 and 664.
83
What is the greatest common factor of 6214710 and 9006?
114
Calculate the greatest common divisor of 620958 and 237939.
39
Calculate the greatest common factor of 4810582 and 11529.
427
Calculate the highest common factor of 758 and 3556385158.
758
What is the highest common factor of 3138369557 and 5197?
5197
Calculate the greatest common factor of 35782 and 687.
1
What is the greatest common factor of 625863594 and 1746?
582
Calculate the highest common factor of 443237080 and 440.
440
Calculate the highest common divisor of 1466 and 2033342.
1466
What is the highest common divisor of 39149 and 869?
11
Calculate the greatest common factor of 35633384 and 56931.
2711
What is the greatest common divisor of 3123590897 and 4046?
2023
Calculate the highest common factor of 17460 and 4198860.
180
What is the greatest common factor of 36855254 and 206?
206
Calculate the greatest common factor of 34927 and 805957.
659
What is the greatest common factor of 276133 and 1287?
143
What is the highest common divisor of 66693566 and 284?
142
What is the greatest common factor of 967928 and 50102?
1066
Calculate the highest common divisor of 32 and 71865184.
32
Calculate the highest common factor of 6700 and 2777300.
100
Calculate the greatest common factor of 2085 and 11450681.
139
What is the highest common divisor of 15 and 2689555110?
15
Calculate the greatest common factor of 8950 and 693650.
50
What is the highest common factor of 1698685 and 26245?
905
Calculate the greatest common factor of 1275 and 2905800.
75
What is the greatest common factor of 28954 and 804641?
467
Calculate the greatest common divisor of 1881 and 45809478.
99
What is the greatest common divisor of 94883257 and 56?
7
What is the greatest common divisor of 58 and 27105082?
58
Calculate the highest common factor of 8004 and 9532.
4
What is the highest common factor of 38948 and 885532?
428
What is the greatest common factor of 332 and 38259431?
83
Calculate the highest common factor of 12327 and 1608.
3
Calculate the greatest common divisor of 34891 and 133906.
943
Calculate the highest common divisor of 208081 and 373543.
2507
Calculate the highest common divisor of 23354413 and 697.
17
Calculate the greatest common factor of 30 and 649815.
15
Calculate the highest common factor of 21004 and 290516.
236
What is the highest common divisor of 2728 and 4919266?
682
Calculate the highest common factor of 432 and 209102256.
432
Calculate the highest common factor of 478380 and 846328.
476
Calculate the highest common divisor of 181941800 and 50.
50
What is the greatest common factor of 974618 and 360858?
274
What is the greatest common divisor of 15364 and 299932?
668
What is the greatest common divisor of 2743 and 361959?
13
What is the greatest common divisor of 79184644 and 2156?
308
Calculate the greatest common factor of 42 and 184390682.
14
What is the greatest common factor of 5688 and 57543363?
711
What is the highest common divisor of 19 and 635184763?
19
Calculate the highest common divisor of 415962732 and 629.
629
Calculate the highest common divisor of 7280396 and 1712376.
5596
What is the greatest common divisor of 3326 and 894?
2
What is the greatest common divisor of 7508631 and 78?
39
What is the greatest common factor of 1023321 and 3211?
247
What is the greatest common divisor of 116 and 112417166?
58
Calculate the highest common factor of 529506 and 4462.
46
What is the greatest common factor of 1018176 and 456?
24
Calculate the highest common divisor of 693 and 437443314.
231
Calculate the highest common divisor of 20493220 and 220.
220
Calculate the highest common factor of 1252 and 37756.
4
Calculate the highest common divisor of 981 and 48170043.
981
Calculate the highest common divisor of 2538 and 436806.
54
Calculate the highest common factor of 134 and 38723186.
134
What is the greatest common divisor of 13843925 and 25?
25
Calculate the highest common factor of 2702168 and 5256.
584
What is the highest common factor of 15584 and 209800574?
974
Calculate the highest common factor of 10230 and 102686 | {
"pile_set_name": "DM Mathematics"
} |
*x**w wrt x?
18
Suppose j + 2*p - 5 - 8 = 0, -2*p + 1 = -3*j. Find the second derivative of -6*n + 41*n**4 - 59*n**j - 2*n + 59*n**3 wrt n.
492*n**2
Suppose 0*q + 10 = 5*q. Suppose x - 5 = 2*z + 3, 0 = 3*x - q*z - 16. Find the third derivative of -x*m**5 - 3*m**2 - 5*m**3 + 5*m**3 - 3*m**2 wrt m.
-240*m**2
Let x(h) be the third derivative of -1/4*h**4 - 22/3*h**3 + 0*h + 0 - 44*h**2. Differentiate x(a) wrt a.
-6
Let h(t) = 4*t**3 + t**3 - 4*t**3 + 4*t**2 + 2*t - 1. Let u be h(-2). Find the second derivative of 2*i - i + i**u + 0*i**3 wrt i.
6*i
Let c be 3/(3/6*3). Suppose -p + 108 = c*p. What is the second derivative of -31*y + 15*y**4 + p*y - 3*y**4 wrt y?
144*y**2
Let l(w) be the third derivative of -79*w**5/60 - 5*w**3/3 - 145*w**2. What is the first derivative of l(u) wrt u?
-158*u
Suppose 5*w + u + 61 = 0, -w - 4*w - 3*u = 53. Let s = -10 - w. What is the third derivative of 5*p**s - 2*p**2 - 2*p**3 + 6*p**4 - 3*p**3 wrt p?
144*p
Let n(k) = 3*k**3 - 3*k**2 - 2*k + 2. Let r = -49 - -51. Let i(p) = p**3 + p**2 - p + 1. Let v(a) = r*i(a) - n(a). Find the third derivative of v(l) wrt l.
-6
Let y(h) be the second derivative of 5/12*h**4 + 0 + 8/3*h**3 - 10*h + 0*h**2. Find the second derivative of y(c) wrt c.
10
Suppose -66 = -16*b - 17*b. Let n(d) be the third derivative of 7*d**b - 1/3*d**4 + 0*d + 1/3*d**3 + 0. Differentiate n(m) with respect to m.
-8
Let y(g) = 242*g**2 - 15*g - 79. Let m(o) = 121*o**2 - 8*o - 39. Let u(h) = 11*m(h) - 6*y(h). What is the first derivative of u(n) wrt n?
-242*n + 2
Let o(r) = 2*r**2 + r + 8. Let a(i) = -6*i**3 + 4*i**2 - 4*i - 708. Let g(u) = a(u) + 4*o(u). Find the first derivative of g(k) wrt k.
-18*k**2 + 24*k
Let d be -4*(-3 + 4)*-1. Let a(g) = -7*g**4 - 4*g**3 + 17*g**2. Let z(h) = -h**3 + h**2. Let m(l) = d*z(l) - a(l). What is the third derivative of m(u) wrt u?
168*u
Let u(s) be the first derivative of 0*s**5 - 2/7*s**7 - 13/3*s**3 + 0*s**4 + 0*s**6 + 0*s - 23 + 0*s**2. Find the third derivative of u(h) wrt h.
-240*h**3
Find the third derivative of -5*y + 5*y + 15 - 344*y**4 + 4*y**2 - 14 - 2*y**2 wrt y.
-8256*y
Let c = 51 + -31. Suppose 5*r = c + 5. Find the third derivative of -y**3 + y**3 + y**r - 2*y**2 - 2*y**2 wrt y.
60*y**2
Differentiate 62*k**4 + 95 + 109*k**3 - 2 - 109*k**3 with respect to k.
248*k**3
Let c = -150 + 152. Let s(o) be the first derivative of -3 + c*o**2 + 0*o - 5/4*o**4 + 0*o**3. Find the second derivative of s(a) wrt a.
-30*a
Let u be (-28)/42 - 52/3. Let j = -16 - u. What is the third derivative of -2 + 0 + 5*z**4 + 6*z**2 + j wrt z?
120*z
Let n be 2*(-4 + 3)*1. Let r be ((-30)/25)/(n/5). What is the second derivative of -4*b - 143*b**r + 143*b**3 - 3*b + 9*b**4 wrt b?
108*b**2
Let r(m) be the first derivative of 6*m**7/7 - m**6/2 + 4*m**3/3 - 19*m**2/2 - 118. Find the third derivative of r(s) wrt s.
720*s**3 - 180*s**2
Suppose -2*o + 6 + 0 = 0. What is the second derivative of -u**3 + 6*u + 2*u - 9*u**o + u wrt u?
-60*u
Let b = -2375 - -2379. Let f(z) be the second derivative of 13/2*z**2 + 3/5*z**5 + 7*z + 0 + 0*z**b + 0*z**3. What is the first derivative of f(c) wrt c?
36*c**2
Let c = -29 + 33. Let u(d) = -5*d - 2. Let a be u(-5). What is the derivative of -a + 0*x**c + x**4 + 4*x**4 + 22 wrt x?
20*x**3
Let h(p) be the second derivative of -19*p**6/30 - p**5/10 - 55*p**4/6 - 49*p. Find the third derivative of h(g) wrt g.
-456*g - 12
Let h(o) = 22*o**3 + 15. Let w(v) = 11*v**3 + 7. Suppose 0*i = 5*p + 3*i - 25, 15 = 3*p + i. Let l(x) = p*w(x) - 2*h(x). Differentiate l(a) wrt a.
33*a**2
Let z = -719 - -3784. Find the third derivative of z*d**4 + 5*d**2 - 3065*d**4 + 18*d**5 wrt d.
1080*d**2
Let r(w) = 3*w + 3*w**3 - 2*w**3 - 3*w**2 + 12*w**2 - 2 - 4*w**2. Let a be r(-4). Find the second derivative of a*x + 3*x + x**3 - 2*x**3 wrt x.
-6*x
Let y(i) = -22*i**4 - 4*i**3 + 2*i**2 + 181. Let f(w) = -21*w**4 - 3*w**3 + w**2 + 181. Let k(o) = 4*f(o) - 3*y(o). Differentiate k(c) wrt c.
-72*c**3 - 4*c
Find the third derivative of 305*c**3 + 24*c**2 - 15*c**4 - 3*c - 2*c - 297*c**3 wrt c.
-360*c + 48
Suppose -5*k = 2*o - k - 14, 5*o - 35 = 4*k. Let z be 75/65 + (-2)/13. Differentiate 2 - o - 3*y**2 + z with respect to y.
-6*y
Find the third derivative of -103*g**2 + 5*g**5 - 17*g**2 + 40*g**2 - 9*g**3 wrt g.
300*g**2 - 54
Let j be 1/(-4) - (-116)/16. What is the derivative of 8 + 3*f**3 + 9*f**3 - j + 2*f**3 wrt f?
42*f**2
Differentiate 110*i + 476 + 93*i**2 - 110*i with respect to i.
186*i
Let u(z) be the first derivative of 27*z**4 + 2*z**3 + 2*z - 140. What is the third derivative of u(b) wrt b?
648
Let t be 14/4 - (-6)/(-4). Suppose 9 = -t*x + 83. Find the second derivative of -2*h + x*h**5 - 36*h**5 - 3*h wrt h.
20*h**3
Let x = -85 + 88. What is the second derivative of -230*p**x - p - 6*p + 246*p**3 wrt p?
96*p
Let y(d) be the first derivative of -8*d**7/21 - 11*d**3/2 + 7*d + 11. Let l(h) be the first derivative of y(h). Find the second derivative of l(q) wrt q.
-320*q**3
Let d(z) be the third derivative of -3*z**8/112 + z**7/105 - 5*z**4/12 - z**3 - 54*z**2. Find the second derivative of d(a) wrt a.
-180*a**3 + 24*a**2
Let u = 2 - -1. Let a be 4 - -1*(u + -3). What is the second derivative of 4*j - a*j**3 + 134 - 4*j**3 - 134 wrt j?
-48*j
Let q be 3*3/18*14. Differentiate q - 2*u - 3*u - 24 wrt u.
-5
Let f(d) = 1. Let z = 7 + -10. Let a be (2 + 1)/z - 0. Let n(i) = -3*i + 1. Let c(k) = a*n(k) + 6*f(k). What is the first derivative of c(u) wrt u?
3
Suppose 0*x + x - 6 = 0. What is the third derivative of -22*z**x - 170*z - 14*z**2 + 170*z wrt z?
-2640*z**3
Let z(x) be the third derivative of 47*x**9/504 + 23*x**5/30 - x**4/12 - 39*x**2. Find the third derivative of z(k) wrt k.
5640*k**3
Let c(v) = 4*v - 1. Let x be c(8). Let n = 34 - x. Find the first derivative of -11*j - n*j + 0*j + 11 wrt j.
-14
Let j(o) = -8*o + 8. Let a = -4 - -3. Let m(t) = 1. Let w(l) = a*j(l) + m(l). What is the first derivative of w(b) wrt b?
8
Let c(g) be the first derivative of -g**6/30 + g**5/12 + 11*g**2/2 - 7. Let a(o) be the second derivative of c(o). What is the third derivative of a(k) wrt k?
-24
Suppose -4 = -5*p + 6. Let l(t) = 2*t**2 - 3*t. Let r be l(p). Find the second derivative of 3*v**3 - 14*v**r + 2*v + 14*v**2 wrt v.
18*v
Let q(w) = -6*w**2 - w - 3*w - w**2. Let v(z) = 35*z**2 + 15*z**2 - 51*z**2. Let s(x) = q(x) - 2*v(x). Find the second derivative of s(y) wrt y.
-10
Let f(v) be the first derivative of -68*v**5/5 + 89*v**3/3 + 30. Find the third derivative of f(o) wrt o.
-1632*o
What is the second derivative of 3147*s**3 + 33*s**5 + 62*s - 3147*s**3 + 6*s**5 wrt s?
780*s**3
Let i(y) = y**3 - y. Let h be -10 + 12 + 3/(-1). Let g(b) = 12*b**3 - 10*b - 4. Let f(r) = h*g(r) + 10*i(r). Differentiate f(m) wrt m.
-6*m**2
Let n(r) be the first derivative of 216*r**3 - 5*r**2 + r + 623. What is the second derivative of n(a) wrt a?
1296
Let r(w) be the first derivative of -5*w**7/7 - 7*w**6/3 - 268*w**3/3 - 199. Find the third derivative of r(c) wrt c.
-600*c**3 - 840*c**2
Let h(l) = -l**2 - 7*l - 8. Let g be h(-4). Find the third derivative of -g*c - 2*c**3 + 0*c + 4*c - 5*c**2 wrt c.
-12
Let d(g) be the first derivative of -79*g**4 - g**2 + 7*g + 284. Find the second derivative of d(r) wrt r.
-1896*r
Let a(z) be the first derivative of -113*z**4 + 659*z - 238. What is the first derivative of a(c) wrt c?
-1356*c**2
Let w = 23 + -16. Let o = w + 0. What is the third derivative of o*n**3 - 11*n**2 + 2*n**2 - 6*n**3 wrt n?
6
Let r(f) = -f**2 + f + 1. Let t(c) = -64*c**4 - 15*c**2 + 7*c + 6. Let h(b) = -6*r(b) + t(b). Find the third derivative of h(z) wrt z.
-1536*z
Let d(y) be the second derivative of 14*y + 0 - 19/3*y**3 - 5/2*y**2. Differentiate d(v) wrt v.
-38
Let c(t) = -3*t**3 - 2*t**2 + 1. Let o be c(-2). Suppose -o = -h - 2. What is the third derivative of h*w**3 - 2*w - w**2 - 13*w**3 + 2*w wrt w?
12
Suppose 7*d + 13*d = 0. Let p(y) be the second derivative of 0*y**5 + 1/3*y**4 - 1/10*y**6 + 0 + 0*y**2 + 6*y + d*y**3. Find the third derivative of p(a) wrt a.
-72*a
Let g(r) = -r**3 - 1. Let u(p) = 1 - 46*p**3 + 15*p**3 + 1 + 30*p**2 - 8. Let y(o) = -6*g(o) + u(o). Find the third derivative of y(m) wrt m.
-150
Let x(z) be the third derivative of 0*z + 1/8*z**4 + 0 + 0*z**3 + 1/20*z**5 | {
"pile_set_name": "DM Mathematics"
} |
of 1/4, to the nearest integer?
177
What is the square root of 157997586 to the nearest integer?
12570
What is 86825059 to the power of 1/6, to the nearest integer?
21
What is the third root of 93573275 to the nearest integer?
454
What is 112813260 to the power of 1/3, to the nearest integer?
483
What is 882189656 to the power of 1/5, to the nearest integer?
62
What is the fifth root of 143125485 to the nearest integer?
43
What is the third root of 308797968 to the nearest integer?
676
What is the cube root of 378778825 to the nearest integer?
724
What is the square root of 82859324 to the nearest integer?
9103
What is the square root of 164327235 to the nearest integer?
12819
What is the square root of 171445068 to the nearest integer?
13094
What is the eighth root of 16648192 to the nearest integer?
8
What is 1097420150 to the power of 1/9, to the nearest integer?
10
What is 797328778 to the power of 1/8, to the nearest integer?
13
What is the fifth root of 576820941 to the nearest integer?
57
What is 36845984 to the power of 1/4, to the nearest integer?
78
What is 886340148 to the power of 1/3, to the nearest integer?
961
What is 4748353548 to the power of 1/9, to the nearest integer?
12
What is 16708957 to the power of 1/3, to the nearest integer?
256
What is 40903703 to the power of 1/3, to the nearest integer?
345
What is the cube root of 1139597504 to the nearest integer?
1045
What is the third root of 402368492 to the nearest integer?
738
What is 239162023 to the power of 1/2, to the nearest integer?
15465
What is the seventh root of 1540256016 to the nearest integer?
21
What is 3140139176 to the power of 1/3, to the nearest integer?
1464
What is 682268285 to the power of 1/3, to the nearest integer?
880
What is the seventh root of 315751894 to the nearest integer?
16
What is 122696650 to the power of 1/2, to the nearest integer?
11077
What is the square root of 13856082 to the nearest integer?
3722
What is the square root of 84344428 to the nearest integer?
9184
What is 4925214601 to the power of 1/2, to the nearest integer?
70180
What is 68377811 to the power of 1/2, to the nearest integer?
8269
What is the third root of 1474790409 to the nearest integer?
1138
What is the third root of 281180640 to the nearest integer?
655
What is the square root of 2301849338 to the nearest integer?
47978
What is the sixth root of 1240825283 to the nearest integer?
33
What is the cube root of 6056555123 to the nearest integer?
1823
What is the fifth root of 184261862 to the nearest integer?
45
What is 36243821 to the power of 1/3, to the nearest integer?
331
What is 3043342551 to the power of 1/4, to the nearest integer?
235
What is 21914465 to the power of 1/2, to the nearest integer?
4681
What is the square root of 69819390 to the nearest integer?
8356
What is 132985425 to the power of 1/3, to the nearest integer?
510
What is 3766687889 to the power of 1/2, to the nearest integer?
61373
What is the third root of 9941392 to the nearest integer?
215
What is the eighth root of 4639685060 to the nearest integer?
16
What is the square root of 8343242816 to the nearest integer?
91341
What is 288349422 to the power of 1/2, to the nearest integer?
16981
What is the square root of 305771733 to the nearest integer?
17486
What is 97602281 to the power of 1/2, to the nearest integer?
9879
What is the third root of 52157282 to the nearest integer?
374
What is the tenth root of 400440041 to the nearest integer?
7
What is the third root of 788446389 to the nearest integer?
924
What is the cube root of 15752638 to the nearest integer?
251
What is 132642958 to the power of 1/2, to the nearest integer?
11517
What is the seventh root of 2048901597 to the nearest integer?
21
What is the fifth root of 4712180625 to the nearest integer?
86
What is 9078655702 to the power of 1/2, to the nearest integer?
95282
What is the third root of 9232400 to the nearest integer?
210
What is the third root of 189421133 to the nearest integer?
574
What is the third root of 101953844 to the nearest integer?
467
What is the sixth root of 531922115 to the nearest integer?
28
What is the third root of 96297845 to the nearest integer?
458
What is the square root of 1943605488 to the nearest integer?
44086
What is 46471608 to the power of 1/2, to the nearest integer?
6817
What is 734911260 to the power of 1/5, to the nearest integer?
59
What is the square root of 399286281 to the nearest integer?
19982
What is the fifth root of 36884910 to the nearest integer?
33
What is 4185185338 to the power of 1/10, to the nearest integer?
9
What is the cube root of 15853002 to the nearest integer?
251
What is the square root of 61575440 to the nearest integer?
7847
What is 172478040 to the power of 1/2, to the nearest integer?
13133
What is the seventh root of 45206159 to the nearest integer?
12
What is 41370815 to the power of 1/2, to the nearest integer?
6432
What is the cube root of 10153252 to the nearest integer?
217
What is the eighth root of 69110673 to the nearest integer?
10
What is 158383668 to the power of 1/2, to the nearest integer?
12585
What is 5515495520 to the power of 1/5, to the nearest integer?
89
What is 889060436 to the power of 1/3, to the nearest integer?
962
What is 410984315 to the power of 1/5, to the nearest integer?
53
What is 177199893 to the power of 1/9, to the nearest integer?
8
What is the square root of 155424699 to the nearest integer?
12467
What is the third root of 18364677 to the nearest integer?
264
What is 182248532 to the power of 1/6, to the nearest integer?
24
What is 5451066131 to the power of 1/7, to the nearest integer?
25
What is the cube root of 36829603 to the nearest integer?
333
What is the cube root of 28722454 to the nearest integer?
306
What is the square root of 236608430 to the nearest integer?
15382
What is the seventh root of 296107886 to the nearest integer?
16
What is the fifth root of 1734034440 to the nearest integer?
70
What is the eighth root of 43362462 to the nearest integer?
9
What is 16153590 to the power of 1/5, to the nearest integer?
28
What is 915668778 to the power of 1/5, to the nearest integer?
62
What is the square root of 52706469 to the nearest integer?
7260
What is 2307355563 to the power of 1/3, to the nearest integer?
1321
What is 307435316 to the power of 1/10, to the nearest integer?
7
What is 22527929 to the power of 1/3, to the nearest integer?
282
What is the sixth root of 115150212 to the nearest integer?
22
What is 1772031401 to the power of 1/2, to the nearest integer?
42096
What is 405931730 to the power of 1/3, to the nearest integer?
740
What is the fifth root of 6179728676 to the nearest integer?
91
What is the tenth root of 87630305 to the nearest integer?
6
What is the square root of 194582501 to the nearest integer?
13949
What is the square root of 13823615 to the nearest integer?
3718
What is the third root of 2137528698 to the nearest integer?
1288
What is the third root of 320058957 to the nearest integer?
684
What is the square root of 547675998 to the nearest integer?
23402
What is the fourth root of 2650337849 to the nearest integer?
227
What is 32056758 to the power of 1/2, to the nearest integer?
5662
What is 79481325 to the power of 1/10, to the nearest integer?
6
What is 56058399 to the power of 1/4, to the nearest integer?
87
What is the third root of 34693712 to the nearest integer?
326
What is the square root of 135165082 to the nearest integer?
11626
What is 82045711 to the power of 1/2, to the nearest integer?
9058
What is the third root of 822665281 to the nearest integer?
937
What is the fifth root of 1349546705 to the nearest integer?
67
What is the third root of 480385347 to the nearest integer?
783
What is 243998239 to the power of 1/3, to the nearest integer?
625
What is the tenth root of 97511932 to the nearest integer?
6
What is 434222845 to the power of 1/9, to the nearest integer?
9
What is the ninth root of 107376534 to the nearest integer?
8
What is 59651191 to the power of 1/2, to the nearest integer?
7723
What is the third root of 5229774025 to the nearest integer?
1736
What is 496517745 to the power of 1/2, to the nearest integer?
22283
What is the square root of 10835864 | {
"pile_set_name": "DM Mathematics"
} |
e of 2*o**2 + 2*o - 3 + c*o**3. What is y in t(y) = 0?
-1
Let g(d) be the third derivative of -d**6/120 + d**5/60 + d**4/12 + 6*d**2. Determine k, given that g(k) = 0.
-1, 0, 2
Let u(b) = -b**2 + 6*b + 2. Suppose -8*a + 4*a = -24. Let k be u(a). Factor 1/2*r**4 + 0 + r**3 - 1/2*r**k - r.
r*(r - 1)*(r + 1)*(r + 2)/2
Let b(h) = -h**3 + h + 1. Let i(w) = -4*w**4 + w**3 + 20*w**2 - 17*w - 5. Let z(o) = 5*b(o) + i(o). Factor z(l).
-4*l*(l - 1)**2*(l + 3)
Let h(t) be the first derivative of -t**6/120 + t**5/20 - t**4/12 - 3*t - 4. Let y(c) be the first derivative of h(c). Let y(o) = 0. Calculate o.
0, 2
Let z(k) be the first derivative of -3*k**5/25 + 3*k**4/10 + k**3/5 - 3*k**2/5 - 3. Factor z(i).
-3*i*(i - 2)*(i - 1)*(i + 1)/5
Let -s**4 - 8 - s**3 + 4*s + 4*s + 0*s**3 + 6*s**2 - 4*s = 0. Calculate s.
-2, 1, 2
Let l(m) be the third derivative of 1/180*m**6 + 3*m**2 - 1/24*m**4 - 1/18*m**3 + 1/210*m**7 + 0*m + 1/1008*m**8 + 0 - 1/90*m**5. Find n, given that l(n) = 0.
-1, 1
Let n be ((-3)/2)/(2/(-4)). Factor -2*a**n - 6*a**3 + 6*a**3 - 4*a**2.
-2*a**2*(a + 2)
Let f(z) be the third derivative of 5*z**7/84 + z**6/8 - 3*z**5/10 + z**4/6 + 2*z**2. Suppose f(l) = 0. What is l?
-2, 0, 2/5
Let z = -4/3 - -2. Suppose 1/3 + 1/3*l**2 + z*l = 0. What is l?
-1
Suppose -3*w = -2*t - 25 + 6, 22 = 4*w - 2*t. Determine g so that -3*g**2 - 5*g + 2*g - 3 - w*g = 0.
-1
Suppose -2*p + 21 = 3*o, 2*p + 2*p + 13 = 5*o. Let q(c) be the first derivative of -2/3*c**2 + 1 - 4/3*c - 1/9*c**p. Solve q(x) = 0.
-2
Let f(w) be the first derivative of -w**2/2 + w + 2. Let t be f(-1). Find b, given that 3*b**2 + 4*b**t - 4*b**2 - 2 - b = 0.
-2/3, 1
Let t = -361/3 + 121. Factor 0*q - 2/3*q**3 + 0 + 2/3*q**2 - 2/3*q**4 + t*q**5.
2*q**2*(q - 1)**2*(q + 1)/3
Let g(u) be the third derivative of -u**7/1260 + u**5/60 + u**4/6 - 4*u**2. Let d(c) be the second derivative of g(c). Solve d(p) = 0.
-1, 1
Let z(p) be the third derivative of p**8/6720 - p**7/1680 - p**5/12 + 4*p**2. Let a(c) be the third derivative of z(c). Determine h, given that a(h) = 0.
0, 1
Let l(o) be the first derivative of -2*o - 8/3*o**3 + 5*o**2 + 2. Factor l(u).
-2*(u - 1)*(4*u - 1)
Suppose -2/11*l**3 + 4/11*l**2 + 2/11*l - 4/11 = 0. What is l?
-1, 1, 2
Find n, given that -1/4*n**2 - 15/2*n - 225/4 = 0.
-15
Let 1/2*f**4 + 0*f**3 - 1/3*f**5 + 0 + 0*f - 1/6*f**2 = 0. Calculate f.
-1/2, 0, 1
Suppose 4*a + 8*a**2 + a**3 + a**3 + 4*a = 0. Calculate a.
-2, 0
Let c(s) be the third derivative of -s**9/272160 + s**8/30240 - s**7/11340 - 7*s**5/60 - 7*s**2. Let n(y) be the third derivative of c(y). Factor n(j).
-2*j*(j - 2)*(j - 1)/9
Let v(t) = -t**2 - t. Let h(f) = 2*f**2 - 13*f - 6. Let p(a) = -a**2 + a + 1. Let y(r) = h(r) + 5*p(r). Let x(z) = 6*v(z) - y(z). Factor x(w).
-(w - 1)*(3*w + 1)
Factor 0*p - 6*p**2 + 0 + 0*p**3 + 3/2*p**4.
3*p**2*(p - 2)*(p + 2)/2
Let n(m) be the second derivative of -m**7/14 + 3*m**5/10 - m**3/2 + 4*m. Factor n(g).
-3*g*(g - 1)**2*(g + 1)**2
Let s(y) be the second derivative of -y**7/840 + y**6/40 - 9*y**5/40 + 9*y**4/8 + 5*y**3/6 - 5*y. Let b(v) be the second derivative of s(v). Factor b(g).
-(g - 3)**3
Let f = 2 - -4. Suppose -x**3 - 2*x**3 + f*x - 3*x = 0. What is x?
-1, 0, 1
Factor -15*w - 15*w**2 + 6*w**2 + 14*w**2.
5*w*(w - 3)
Let x(n) be the third derivative of -n**7/1470 + n**6/84 - 5*n**5/84 + 28*n**2. Let x(z) = 0. What is z?
0, 5
Let z(p) be the first derivative of 2 + 0*p**2 - p**3 + 1/1440*p**6 + 0*p + 0*p**4 + 1/480*p**5. Let s(w) be the third derivative of z(w). Factor s(v).
v*(v + 1)/4
Let y(i) be the second derivative of -i**9/2520 + i**8/2240 + i**4/3 + 4*i. Let b(v) be the third derivative of y(v). Let b(x) = 0. Calculate x.
0, 1/2
Suppose 5*i = 5*q + 5, 3*q + 0 + 1 = i. Let s(a) be the second derivative of q*a**3 - a - 1/15*a**6 + 0 - 1/5*a**5 - 1/6*a**4 + 0*a**2. Factor s(f).
-2*f**2*(f + 1)**2
Factor -8/3*b**2 - 2/3*b + 2/3*b**3 + 8/3.
2*(b - 4)*(b - 1)*(b + 1)/3
Let d(q) be the third derivative of 0*q - 1/105*q**5 + 0*q**3 + 0 - q**2 + 0*q**4 - 6/245*q**7 + 3/392*q**8 + 11/420*q**6. What is s in d(s) = 0?
0, 1/3, 2/3, 1
Let c(r) = -r - 2. Let u(p) = p**2 + 4*p + 7. Let j(g) = -14*c(g) - 4*u(g). Factor j(h).
-2*h*(2*h + 1)
Suppose 5*q - 4*h - 40 = 0, 4*q - 22 = q + 2*h. Determine x so that 1/3*x**q + 0 + 2/3*x**2 + x**3 + 0*x = 0.
-2, -1, 0
Let s(f) be the first derivative of -8*f**6/3 - 16*f**5/5 - f**4 - 5. Factor s(x).
-4*x**3*(2*x + 1)**2
Let z(y) = 3*y**3 - 15*y**2 + 27*y - 9. Let d(b) = -3*b**3 + 15*b**2 - 28*b + 8. Let v(t) = 3*d(t) + 4*z(t). What is p in v(p) = 0?
1, 2
Let w = -6 + 8. Let v(d) = 1 - 2*d**w + 6 + 4 - 4. Let b(u) = -2*u**2 + 8. Let t(f) = -5*b(f) + 6*v(f). Factor t(n).
-2*(n - 1)*(n + 1)
Let v(n) be the first derivative of n**7/252 + n**6/60 + n**5/60 - n**4/36 - n**3/12 - n**2/12 - 6*n - 3. Let a(j) be the first derivative of v(j). Factor a(b).
(b - 1)*(b + 1)**4/6
Factor -5/2*v**2 - 1/2*v**3 - 3/2*v + 9/2.
-(v - 1)*(v + 3)**2/2
Suppose 0 = 2*k - 8, 5*u + 0*k = 5*k. Determine z, given that -20*z**3 + 27*z - 11*z**4 + u*z**2 + 6 + 2*z**2 - 7*z**3 - z**4 = 0.
-2, -1, -1/4, 1
Let s(m) be the third derivative of -1/140*m**5 + 0 + 0*m**4 + 7*m**2 + 0*m + 1/14*m**3. Let s(b) = 0. What is b?
-1, 1
Factor -148*h**2 + 40 + 27*h**2 - 44 + 44*h.
-(11*h - 2)**2
Let b be (2 - 3) + 36 - 3. Let t = -222/7 + b. Factor 4/7*u + t*u**2 + 0.
2*u*(u + 2)/7
Let t(h) = 7*h**5 + 4*h**4 + 6*h**3 - h + 4. Let r(q) = -15*q**5 - 7*q**4 - 12*q**3 + 2*q - 9. Let x(y) = -4*r(y) - 9*t(y). Factor x(o).
-o*(o + 1)**3*(3*o - 1)
Let y(k) = k + 1. Let h(m) = 5*m**2 - 23*m - 28. Let l(u) = h(u) - 2*y(u). Suppose l(i) = 0. Calculate i.
-1, 6
Let x(y) be the second derivative of 2/45*y**3 + 0*y**4 - 1/225*y**6 + 0 - y + 1/15*y**2 - 1/75*y**5. Factor x(t).
-2*(t - 1)*(t + 1)**3/15
Let m(v) = 3*v - 2*v**2 - 2 - v**3 + 3*v**4 + 0*v**3 - v**2. Let k(p) = -p**4 + p**2 - p + 1. Let b(h) = -2*k(h) - m(h). What is t in b(t) = 0?
-1, 0, 1
Suppose 5*l = -2*v + 18, -3*l + 5*v + 13 = 4*v. Determine y, given that -9/2*y**3 + 0*y - 3/2*y**5 - 9/2*y**l + 0 - 3/2*y**2 = 0.
-1, 0
Let c be (-2)/(-12)*(-1 + 2). Let o(f) be the first derivative of 0*f - c*f**2 - 1 + 1/9*f**3. Factor o(a).
a*(a - 1)/3
Let k(b) = -b**4 + b**3 - b**2. Let s(i) = 3*i**4 - 3*i**3 + 5*i**2 - i. Let j(r) = 20*k(r) + 5*s(r). Suppose j(c) = 0. Calculate c.
-1, 0, 1
Let k(v) be the first derivative of v**3/3 - 3*v**2 + 9*v + 3. Factor k(f).
(f - 3)**2
Determine n so that 0*n + 4/3*n**2 + 4*n**4 + 4*n**3 + 4/3*n**5 + 0 = 0.
-1, 0
Let v be ((-1)/(-2))/(12/192). Let o be 3/12*v/7. Factor o + 4/7*y**2 + 6/7*y.
2*(y + 1)*(2*y + 1)/7
Let l(u) be the third derivative of -1/35*u**7 + 1/60*u**6 + 0 - 1/12*u**4 + 0*u**3 + 1/10*u**5 + u**2 + 0*u. Solve l(f) = 0 for f.
-1, 0, 1/3, 1
Let m(j) be the first derivative of j**4/6 + 3*j + 2. Let k(f) be the first derivative of m(f). Let k(v) = 0. Calculate v.
0
Let l(d) = d**3 - 32*d**2 + 32*d - 29. Let o be l(31). Find q such that -2 - 1/2*q**o - 2*q = 0.
-2
Determine n, given that 24 + 6*n**2 - 796*n**3 + 798*n**3 - 23*n - 9*n = 0.
-6, 1, 2
Let z(t) be the first derivative of 0*t**3 - 2 + 1/12*t**4 + t**2 + 1/30*t**5 + 0*t. Let r(w) be the second derivative of z(w). Factor r(j).
2*j*(j + 1)
Let x(d) be the third derivative of -d**7/210 - d**6/120 + d**5/60 + d**4/24 + 6*d**2. Factor x(m).
-m*(m - 1)*(m + 1)**2
Let u = 380 + -212. Find a such that 165*a**2 + 20 + 24 + 4 - 12 + 75*a**3 - u*a = 0.
-3, 2/5
Let g(s) be the first derivative of s**6/33 - 6*s**5/55 + 3*s**4/22 - 2*s**3/33 + 40. Find p, given that g(p) = 0.
0, 1
Let n be 2/2 - (0 - 3). Suppose n*b - 256 = -56. Suppose 8*o**4 + 20*o**2 + 4 + 26*o + 18*o**2 - b*o**4 - 26*o**3 = 0. What is o?
-1, -1/3, -2/7, 1
Suppose -1/3*w**2 - 5/3*w - 2 = 0. What is w?
-3, -2
Factor -1 - 3*t**2 + 15*t - 12*t + t**3 + 0.
(t - 1)**3
Let b(a) be the first derivative of 7*a**5/5 - 23*a**4/4 + 2*a**3 + 1. Factor b(q).
q**2*(q - 3)*(7*q - 2)
Let w(d) be the third derivative of 1/735*d**7 + 0 - 1/42*d**4 - 1/21*d**3 + 0*d - 5*d**2 + 0*d**5 + 1/210*d**6. Factor w(j).
2*(j - 1)*(j + 1)**3/7
Let g = -786 - -786. Factor -1/6*v**2 + 0*v + 1/3*v**3 - 1/6*v**4 + g.
-v**2*(v - 1)**2/6
Let h(j) = -j**2 + 18*j - 53. Let i(n) = -n**2 + 12*n - 35. Let k(d) = 5*h(d) - 7*i(d). S | {
"pile_set_name": "DM Mathematics"
} |
-210. Which is smaller: -29 or m?
m
Let m be -1 + ((-89502)/(-109230) - 2/(-11)). Which is smaller: m or 1?
m
Let t(c) = -c**3 + 6*c**2 + 7*c + 3. Let s be t(7). Suppose -s*v + 4*z + 21 = 1, -2*v - 4*z = 0. Let w be (-1)/v + 12/48. Is w less than 1/3?
True
Let t be (-2)/(1/3*-2). Let l(f) = -40*f + 320. Let j be l(8). Are t and j equal?
False
Let v = -3.231 + -28.479. Let j = v + 34. Let t = 2.3 - j. Which is greater: t or 0.2?
0.2
Let m = -21 + 26. Let u(d) = d + 3. Let h be u(m). Let z(o) = o**2 - 9*o + 1. Let w be z(h). Which is greater: w or 0?
0
Let h be ((-6)/(-9))/((-4)/(-18)). Suppose -5*n + h*n = -80. Suppose 0*k + n = -3*a + k, -a - 2*k - 4 = 0. Which is smaller: a or -11?
a
Let n be (4 - 1 - 0)*(-6325)/550. Is n greater than or equal to 0.2?
False
Let y be 1/((-15)/(-2)) - 1112/15. Which is smaller: y or -73?
y
Let z = -26.56 + 26. Let d = z - -0.76. Is -0.1 > d?
False
Suppose -5*z = -3*h - 10, 2*z - 35 = -z - 4*h. Suppose 2*f + z*c = 25, 3*c - 4 = -5*f + 11. Which is smaller: f or -10/13?
-10/13
Let a be ((-24)/9)/(-7 - -20). Is a bigger than 0?
False
Let r = 171 - 157. Is 61/4 < r?
False
Suppose -3*y = 12, -2*b + 6 = 4*y + 16. Let l be (b + -3)/((-6)/3). Is l != -2/15?
True
Let c = 875 - 2585/3. Which is bigger: 12 or c?
c
Suppose -11*f = -29 + 7. Let j be (f/(-5))/((-14)/(-10)). Is -2/73 <= j?
False
Let c be 12/14*(-5 - (-34)/4). Is c at least 1/20?
True
Let s = 1695 + -1696. Do s and 32/15 have different values?
True
Let u = 21 + 4. Let a be ((-90)/u)/(6/(-80)). Is -0.1 greater than or equal to a?
False
Let q = -1402 + 1403. Which is bigger: 3.44 or q?
3.44
Let m = -1.4662 + 2.4662. Let t be (-6)/4*(-8)/(-174). Which is bigger: m or t?
m
Let u(b) = b**3 + b**2 - 1. Let d(y) = -2*y**3 - 2*y**2 - 3*y + 5. Let k(x) = -d(x) - 3*u(x). Let s be k(1). Are s and -33 nonequal?
True
Let x = -16 - -19. Suppose -5*n = -w - 21, x*w = w + 2*n - 18. Is -14/3 less than w?
False
Let x = 696.8 - 625. Let o = x - 72. Which is smaller: o or 2?
o
Let i = -69.95 - -67. Let y = -0.05 + i. Let s = 2 + y. Which is greater: 1/2 or s?
1/2
Let o(w) = -w**2 + 8*w + 10. Let q be o(9). Let c = -2750 - -192497/70. Let d = 4/35 + c. Which is bigger: q or d?
q
Suppose 5*r + 5*u - 495 = 0, -4*r + 204 = -5*u - 183. Is 99 > r?
True
Let a be ((1/3)/(-1))/((-2)/(-12)). Let o be 0/(-5) + a - 3*-1. Let d be 2 - (-3)/(21/(-17)). Which is smaller: d or o?
d
Suppose 2*m + 2*v = 6*v + 10, 5*v + 6 = -4*m. Which is bigger: m or -4/527?
m
Suppose -3*l = 9, -2*a + 2 = 4*l + 10. Let j = 16514/5 + -3347. Let x = -44 - j. Is a bigger than x?
True
Let m be 10*14/(-35) + 1490/372. Is -1 less than m?
True
Let u be 40/22 + 24/132. Let x be (72/(-5))/(u/(-10)). Let z be (-2)/9 + 1456/x. Do 19 and z have different values?
True
Let s = 19.545 + -0.615. Let o = 19.45 - 0.45. Let z = o - s. Is 0 less than z?
True
Let m = -0.19 + 30.19. Let q = 23 - m. Which is greater: 1/2 or q?
1/2
Let a = 59 + -42. Is a < 15?
False
Let w(x) = 23*x - 24. Let i be w(4). Suppose i = 4*g - 4*p, p = -4 + 2. Which is bigger: 96/7 or g?
g
Let h(z) = -5*z + 50. Let t be h(13). Let p be 2/t - 186/(-45) - -2. Is p < 6?
False
Let r = 20 + -15. Suppose 2*s + 21 = -2*t - s, -r*t = 3*s + 48. Is -3 > t?
True
Let b = -951570/233 - -4084. Let t = b + 207/3029. Is -0.2 less than or equal to t?
True
Let d be 6 - 4 - (0 - 2). Let g be (-5)/(-2) - (-3)/6. Suppose g*q = -12, -3*x + 5*q = -20 - 3. Is x <= d?
True
Let w(r) = -2*r - 36. Let o be w(0). Let l be (44/o + 1)*1. Are l and 0 unequal?
True
Let g = -17 - -16.2. Let f = 1.5 + g. Let c = f - 0.7. Which is smaller: 4 or c?
c
Suppose -3 = -q, f + 49 = 4*q - 48. Is -85 equal to f?
True
Let h be (2/(-2))/(7/(-3) + 2). Suppose -2*z = z - h. Which is greater: -24 or z?
z
Let w = -55 - -51. Let x(z) = 15*z**2 + z. Let b be x(-1). Let n be w/(-16) - b/(-24). Which is smaller: 2 or n?
n
Let j = -795 - -481. Is j < -315?
False
Suppose r + 6 = 4*r. Let t be ((-2)/(-5))/((-28)/(-105)). Let n = r - t. Which is greater: n or 2?
2
Let v(a) = -a - 18. Let w be v(-12). Let d = -7 - w. Let n be -2*-2*d/(-4). Is n bigger than -2/5?
True
Let u be (-7 - 3 - -18) + 0 + -11. Let m = -5399/7 + 769. Is m bigger than u?
True
Suppose 0 = 3*n - 3. Let m = -105 + 108. Which is greater: n or m?
m
Let i(d) = -d**3 - 18*d**2 + 17*d - 38. Let x be i(-19). Which is smaller: x or 1/74?
x
Let f be 3 - -20*(1 + 0). Let q = 31 - f. Is 54/7 >= q?
False
Let a = -45 - -29. Let t be 33/(-12) + (-12)/a. Is t bigger than -3?
True
Let a = -0.436 + 31.436. Which is smaller: -2/5 or a?
-2/5
Let w be 4/16 - 49/148. Suppose 0 = o - 27*o - 26. Which is greater: w or o?
w
Let b = -143 - -869/6. Suppose 0*h = -3*h + 9. Is b at most as big as h?
True
Suppose 3 + 1 = -m. Let s = -14815/3883 - 1/353. Are s and m equal?
False
Suppose -48 = -4*x - 4*u, 2*x + 4*u = 6*u + 12. Which is smaller: x or 17?
x
Let k be (1 + 1)/(1 - (-82)/2). Let t(m) = m**2 - 14*m + 13. Suppose 0 = p - 6*p + 65. Let u be t(p). Is u equal to k?
False
Let q be (20/4 - 900/184)*-4. Is q > -2/3?
True
Let t = 589.999 - 590. Which is smaller: 0.05 or t?
t
Let c = 27.1 + -27. Suppose -3*k = 5*q + 192, -5*q = -k - 4*k + 160. Which is bigger: c or q?
c
Let d be (29 + 1)*(-8)/20. Let h be 22/(-6) + 4/d. Let c be (-4 - h) + (-1)/(-1). Is 15/7 at most c?
False
Let q = -41/4 + 443/44. Let j(s) = s + 7. Let f be j(-12). Let w be f/2*48/(-180). Do q and w have the same value?
False
Let a(d) = -d**2 + 8. Let n be a(0). Let q = n + -5. Suppose 2*u = q*w - 37, 0*u - 57 = 3*u - 5*w. Which is smaller: u or -13?
u
Let v = -56 + 49. Does -0.12 = v?
False
Let p be 0/(-3) + -4*5/(-20). Is p at least -2/197?
True
Let w = -604 + 467. Is -137 at most as big as w?
True
Suppose 77 = 11*u + 66. Which is greater: 3/226 or u?
u
Let q(l) = l**3 + 3*l**2 - l - 2. Let y be q(-3). Suppose 11*t + 198 = 2*t. Let n = t + 25. Is n at least as big as y?
True
Let r(n) = -n**3 - 4*n**2 + n + 3. Let i be r(-4). Let l be i*2/(-2) + 16. Do 16 and l have different values?
True
Suppose -i - 2*i - 36 = 0. Suppose -6*d + 140 = -d. Suppose 5 = -3*b - 2*b, d = -2*r - 4*b. Is i >= r?
True
Let s(k) be the third derivative of k**4/6 - 7*k**3/2 + 18*k**2. Let h be s(4). Let i be (-24)/(-20)*10/(-2). Is h bigger than i?
True
Let z = 8.5 - 10. Let g = z - -1.58. Let u = g + -0.17. Is u != 0?
True
Let j(f) = -2*f**2 + 21*f + 6. Let v be j(12). Let n = 27 + v. Which is bigger: 3 or n?
3
Let k = 265 + -265.3. Is k >= -3.7?
True
Suppose -3*w - 237 - 60 = 0. Let s be (-107)/44 - 18/w. Let g(z) = z**2 + 7*z + 7. Let a be g(-5). Is s not equal to a?
True
Let n(q) = -5 + 2 - q - 5. Let z be n(-6). Let y be 1*((-1)/6)/(22/66). Is z at most y?
True
Let r(z) = -z**3 - z**2 + 3*z - 4. Let q be r(-3). Suppose -5*s + 3*m = -25 - 0, -m + q = 5*s. Let y be 3/s - 75/6. Is -11 < y?
False
Suppose 0 = -2*v + 5*k, 5*v - 3*k = -8*k. Suppose v = 3*i + 3, -1 = 2*l + i - 2. Let g = 405/26 - 31/2. Is g at most as big as l?
True
Let c be (0 - -3) + -8 + -3. Let v be (-27)/(-6)*c/(-6). Let r be ((-8)/24)/(2/v). Is r equal to -6/11?
False
Suppose 4*h = -2*l - l + 39, -5*l - 5*h + 60 = 0. Let t = 2 - -3. Suppose -t*k = -21 - 24. Is l != k?
False
Let j(h) = 5*h + 35. Let a be j(-10). Let t be -10*(-5)/a - -4. Is t > -13?
True
Let s be (-45)/(-60) - 94/72. Suppose 5 = -4*w + 17. Let i = w + -5. Is s < i?
False
Suppose -2 = 4*t - 3*t. Let m(s) = s**3 - 7*s**2 + s - 8. Let v be m(7). Let h be 0/(v/(t/(-4))). Are h and -1/2 nonequal?
True
Let w be (91/(-42))/((-8)/6). Which is greater: -0.1 or w?
w
Let o be (0 - (42 + -6))*7/(-2). Let i(l) = -l**3 - 2*l**2 + 2*l + 2. Let g be i(-4). Suppose -4*j + g = o. Which is smaller: -26 or j?
-26
Let z = 767/5 + -154. Let v = 38 + -29. Let o = 9 - v. Which is greater: o or z?
o
Let b(y) = -14*y + 56. Let i be b(11). Let u(x) = -25*x**2 + 8*x - 13. Let m be u(2). Which is smaller: i or m?
i
Suppose 5*x - 7 = 8. Suppose -4 = -x*u - 16. Let h be (4/(-2))/((-30)/u). Which is smaller: 1 or h?
h
Suppose 3*r + 2*i + 11 = 0, 2*i = 4*r - 1 - 3. Which is smaller: -283 or r?
-283
Let o = -2.39 + 2.5. Let h = 1.11 - o. Let z be 3/(-4) + 0 - 0. Which is smaller: h or z?
z
Let g be 1/(-4) - (4 - 174/24). Suppose -5 = -g*m + 13. Are 4 and m unequal?
True
Let u = 0.1183 + -0.1183. Which is greater: -223 or u?
u
L | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence jq when two letters picked without replacement from {j: 4, l: 2, k: 1, v: 1, q: 7}?
2/15
Two letters picked without replacement from chcchchhchzhzhzcz. Give prob of sequence zh.
7/68
Calculate prob of sequence jhh when three letters picked without replacement from {j: 4, a: 1, v: 2, m: 2, h: 6}.
4/91
What is prob of sequence xom when three letters picked without replacement from xosommmgsyom?
1/110
Calculate prob of sequence vb when two letters picked without replacement from hbhyyvykbygyb.
1/52
Calculate prob of sequence jc when two letters picked without replacement from {u: 2, v: 1, o: 6, c: 4, j: 2}.
4/105
Calculate prob of sequence im when two letters picked without replacement from {m: 4, i: 7}.
14/55
What is prob of sequence zd when two letters picked without replacement from {d: 3, z: 1, o: 1}?
3/20
Calculate prob of sequence lknk when four letters picked without replacement from kcknrlrrrcrcnrrlr.
1/7140
Three letters picked without replacement from mmmaaa. Give prob of sequence maa.
3/20
What is prob of sequence bj when two letters picked without replacement from jcabccbcbzb?
2/55
Calculate prob of sequence dcd when three letters picked without replacement from {l: 1, x: 1, i: 6, c: 1, h: 2, d: 4}.
2/455
Two letters picked without replacement from {w: 6, o: 4}. Give prob of sequence oo.
2/15
What is prob of sequence rj when two letters picked without replacement from bmbbmrkmrjmh?
1/66
Calculate prob of sequence jwj when three letters picked without replacement from uwjjwwzuzwgjww.
3/182
What is prob of sequence boob when four letters picked without replacement from ubuaujbobbuquou?
1/1365
What is prob of sequence uu when two letters picked without replacement from doguoduuguudpug?
1/7
Four letters picked without replacement from {o: 2, g: 1, h: 4, v: 1, q: 1}. What is prob of sequence ohoq?
1/378
Two letters picked without replacement from ipr. Give prob of sequence pr.
1/6
Two letters picked without replacement from wbwwwwwwbwww. Give prob of sequence bw.
5/33
Two letters picked without replacement from llmwwwlmlmllmzzzm. What is prob of sequence mm?
5/68
Four letters picked without replacement from {f: 3, g: 4, y: 1, d: 2}. What is prob of sequence gdfg?
1/70
Calculate prob of sequence ww when two letters picked without replacement from wwwcwc.
2/5
Two letters picked without replacement from veveeeeveeveee. What is prob of sequence ee?
45/91
Two letters picked without replacement from {g: 1, f: 1, c: 6, e: 1, x: 4, b: 2}. Give prob of sequence cx.
4/35
Four letters picked without replacement from {n: 4, p: 2, w: 8, o: 3}. Give prob of sequence woop.
1/595
Two letters picked without replacement from tytyt. Give prob of sequence ty.
3/10
Three letters picked without replacement from {b: 1, p: 6, x: 5, j: 1, u: 1, n: 3}. What is prob of sequence pxx?
1/34
Three letters picked without replacement from {z: 2, p: 1, g: 1, k: 1, b: 1, f: 1}. What is prob of sequence fkg?
1/210
Calculate prob of sequence bc when two letters picked without replacement from {c: 8, b: 5, f: 5}.
20/153
Two letters picked without replacement from {f: 4, w: 3, d: 2, u: 4, p: 3}. What is prob of sequence pd?
1/40
Two letters picked without replacement from mmimoximoa. Give prob of sequence ox.
1/45
Two letters picked without replacement from lmawaawhmmsm. Give prob of sequence ma.
1/11
Calculate prob of sequence bvhe when four letters picked without replacement from ebhmvffmhevh.
1/990
Calculate prob of sequence jvvj when four letters picked without replacement from {j: 2, v: 5}.
1/21
Calculate prob of sequence rzsx when four letters picked without replacement from xfsrfsfbzbxbzs.
1/2002
Calculate prob of sequence eck when three letters picked without replacement from {k: 3, m: 2, y: 4, c: 7, e: 1}.
7/1360
Two letters picked without replacement from {z: 10}. Give prob of sequence zz.
1
Calculate prob of sequence cc when two letters picked without replacement from cmmscjcjcbscjsucm.
15/136
What is prob of sequence ba when two letters picked without replacement from lamqbaababba?
5/33
Two letters picked without replacement from {p: 11, v: 3}. What is prob of sequence vp?
33/182
Four letters picked without replacement from gggsgsggssg. What is prob of sequence sggs?
7/110
Calculate prob of sequence tt when two letters picked without replacement from {e: 4, t: 3, l: 5}.
1/22
Two letters picked without replacement from klmduzl. Give prob of sequence ml.
1/21
Three letters picked without replacement from wwwttwawwawwtww. What is prob of sequence waw?
6/91
Two letters picked without replacement from {z: 9, x: 5}. What is prob of sequence zz?
36/91
Four letters picked without replacement from {e: 7, g: 5}. Give prob of sequence gege.
7/99
Calculate prob of sequence nss when three letters picked without replacement from {n: 1, s: 3}.
1/4
Two letters picked without replacement from {f: 6, j: 1, p: 4}. What is prob of sequence pp?
6/55
Three letters picked without replacement from harhr. What is prob of sequence rhh?
1/15
Two letters picked without replacement from epewknkg. What is prob of sequence gw?
1/56
Two letters picked without replacement from {n: 9, t: 10}. What is prob of sequence nn?
4/19
Calculate prob of sequence gkg when three letters picked without replacement from kkggkgkgkkkkg.
40/429
Four letters picked without replacement from {d: 2, e: 3, i: 4}. What is prob of sequence eede?
1/252
Four letters picked without replacement from {k: 2, b: 11}. Give prob of sequence bbbb.
6/13
Two letters picked without replacement from uuuuukkguug. Give prob of sequence gg.
1/55
Calculate prob of sequence tl when two letters picked without replacement from dtudl.
1/20
Four letters picked without replacement from ykjpklkk. Give prob of sequence jylk.
1/420
Two letters picked without replacement from {i: 1, v: 1, h: 3}. Give prob of sequence hh.
3/10
What is prob of sequence ttt when three letters picked without replacement from {k: 3, x: 5, t: 3, y: 1, l: 3}?
1/455
What is prob of sequence kh when two letters picked without replacement from kvaxxhahakhkakkk?
3/40
Two letters picked without replacement from {v: 9, h: 1, e: 1}. What is prob of sequence ve?
9/110
Two letters picked without replacement from kqkdqkwdfdqddqdkd. What is prob of sequence dd?
21/136
Calculate prob of sequence xqhp when four letters picked without replacement from xhpxpxjjxjpqxqqxjpx.
7/7752
What is prob of sequence ffd when three letters picked without replacement from {h: 1, f: 3, p: 3, d: 1, b: 2}?
1/120
What is prob of sequence ohs when three letters picked without replacement from {r: 2, h: 3, o: 3, s: 8}?
3/140
Three letters picked without replacement from {b: 2, h: 3, g: 7}. Give prob of sequence bbg.
7/660
Four letters picked without replacement from {t: 1, i: 3, n: 1, s: 3, h: 3, v: 8}. Give prob of sequence tvnv.
7/11628
Two letters picked without replacement from gtgttgtttttgttgt. Give prob of sequence tg.
11/48
What is prob of sequence aoa when three letters picked without replacement from ooaoaooaoo?
7/120
What is prob of sequence aqv when three letters picked without replacement from {y: 1, b: 1, u: 2, a: 1, q: 2, v: 1}?
1/168
What is prob of sequence ujr when three letters picked without replacement from {i: 1, s: 1, j: 4, r: 7, u: 2}?
4/195
Two letters picked without replacement from {n: 5, q: 1, l: 3}. What is prob of sequence nn?
5/18
What is prob of sequence itk when three letters picked without replacement from {i: 2, k: 1, u: 3, t: 2, n: 12}?
1/1710
Two letters picked without replacement from dew. Give prob of sequence dw.
1/6
What is prob of sequence nd when two letters picked without replacement from sdnddnnnddnsnssnsdd?
49/342
Two letters picked without replacement from nnniniiiiiiiii. What is prob of sequence ii?
45/91
What is prob of sequence vl when two letters picked without replacement from {o: 7, y: 1, v: 1, l: 1, e: 2, g: 5}?
1/272
Two letters picked without replacement from {c: 6, s: 1, b: 11}. What is prob of sequence cs?
1/51
Four letters picked without replacement from dbddbbbddbbdbdbddb. What is prob of sequence dbbd?
6/85
Calculate prob of sequence did when three letters picked without replacement from {i: 4, d: 10, t: 2, y: 1}.
3/34
Four le | {
"pile_set_name": "DM Mathematics"
} |
6/5)
Simplify (h*h**(-9))/((h/(h/(h*h**(-7)/h)))/h*h)*(h*h*h**(-1/12)/h)/(h/h**(2/7)) assuming h is positive.
h**(-67/84)
Simplify ((d/d**(-2/9)*d)**(-3)*(d**(1/12)*d)/(d*d/d**(-2/3)))**24 assuming d is positive.
d**(-198)
Simplify (z*(((z**6*z)/z)/z)/z*z)/z*z/(z*z/(z*z/(z/(z/((z*z**(-1/6))/z))*z)*z)*z)*z**(-25)*z*z/(z*z**(-4/9)*z) assuming z is positive.
z**(-349/18)
Simplify ((d**5/((d*d/d**(1/2))/d))/((d*d**(-9)/d*d)/((d/(d/(d*d/(d/(d*d**10))*d)))/d)))**(-16/3) assuming d is positive.
d**(-392/3)
Simplify (j**(-4/13)*j)**(2/35)*j/j**(-8)*j*j/(j*j*j**(15/7)/j*j)*j assuming j is positive.
j**(3593/455)
Simplify (w**(-15)/w)**(-9/8)/(w*w*w/(w*w/w**(1/5)*w)*w)**(1/40) assuming w is positive.
w**(1797/100)
Simplify (t**(-6)/t**(1/10))/(t**(1/16)*t**(-3)/t) assuming t is positive.
t**(-173/80)
Simplify (i**(-11/2)*i*i*i)**(-36/11)*(i*i**(-3))**(2/17) assuming i is positive.
i**(1486/187)
Simplify (f*f**20/f*f*f*f**(-1/23)*f*f)/(f**(1/31)/(f/f**(-6/11))) assuming f is positive.
f**(199759/7843)
Simplify ((u/(u/((u*u**(2/3)/u)/u)*u*u))**(-19)*(u*u**(1/3)/u)**(-25/4))**(-2/5) assuming u is positive.
u**(-169/10)
Simplify ((u**(1/4)/(u/u**7))/(u*u**4*u**2*u))**(4/13) assuming u is positive.
u**(-7/13)
Simplify g**(-2/23)*g*g**(1/4)*g*g*g**(-5)/(g**(2/5)*g*g) assuming g is positive.
g**(-1949/460)
Simplify ((p**(-3)*p**(-2))/(p**(2/3))**(-7))**(-2/7) assuming p is positive.
p**(2/21)
Simplify (((x**2*x)/((x**(-3/4)*x)/x))/((x*(x*x**(-2))/x)/((x*x*x**(6/7)*x)/x)))**11 assuming x is positive.
x**(2343/28)
Simplify ((v**1*v**5)/((v**(-1/16)*v)/(v/(v*(v**(8/3)/v)/v)*v)))**(-2/71) assuming v is positive.
v**(-259/1704)
Simplify (s*s*s**(-1)/s)/s**(-4/19)*(s/s**(-18))**24 assuming s is positive.
s**(8668/19)
Simplify ((v*v**(-1/14))/v)**(14/5)*v/(v*v/v**(-6))*v**(7/11) assuming v is positive.
v**(-361/55)
Simplify ((a**(-1/4)/a)/a**(-3/10)*(((a/(a**(-2)/a))/a)/a)**(-4/21))**(-2/155) assuming a is positive.
a**(559/32550)
Simplify ((r**1/(r*r**6))/(r**4*r**(-3/4)))**(-30) assuming r is positive.
r**(555/2)
Simplify h/((h/h**14)/h)*h/((h*(h*h*h*h/(h**10*h))/h)/h)*h*h*h**(-17)*h**(-8)*h assuming h is positive.
h**2
Simplify (((m/(m*m**(-1/6)))/m)/m**(-12))/(m*m**(-3)*m)**44 assuming m is positive.
m**(331/6)
Simplify ((b**(-4)/b)/b)**(-32)/(b*(b**(-4/5)/b)/b*b/(b/b**(3/4)*b*b)*b) assuming b is positive.
b**(3881/20)
Simplify (x/(x**29/x))/(x/(x/(x*x*x/x**(7/6)))*x)*(x**(3/2)/x*x)**39 assuming x is positive.
x**(86/3)
Simplify ((i**4*i)/(i/((i/(i**(3/19)/i))/i)))/(i**12/(i**(-18)*i)) assuming i is positive.
i**(-459/19)
Simplify h**17/(h*h*h**(-3/11)*h)*(h/(h/h**(2/9))*h)**(-13/5) assuming h is positive.
h**(5492/495)
Simplify (((a**13*a)/a)/(a/(a*a**(7/2))))/(a**2/a*a*a*a**(2/17)) assuming a is positive.
a**(455/34)
Simplify (c**14)**42*(c**16*c)**29 assuming c is positive.
c**1081
Simplify ((d**13*d/(((d/(d/d**(-3/2)))/d)/d))**35)**(-33) assuming d is positive.
d**(-40425/2)
Simplify (y**(3/13))**(10/9)/(y*y/y**23*y**(1/2)*y) assuming y is positive.
y**(1541/78)
Simplify (j**(-13))**28*j*j*j**24*j*j**(-14) assuming j is positive.
j**(-351)
Simplify g**(1/2)/g*g**(-8)*((((g*g**(-1/3)/g)/g)/g)/g)**(3/25) assuming g is positive.
g**(-89/10)
Simplify (((p*(p**(6/17)/p)/p)/p)/p*p*p*(p**(-29)/p)/p)**(-1/34) assuming p is positive.
p**(269/289)
Simplify (h**(27/5)*h*h*h**(-1/14)/h*h)/((h/(h**(2/13)*h)*h)/h*h**(-16/9)) assuming h is positive.
h**(75841/8190)
Simplify (((w*w/(w/(w*w*(w*w**6)/w)*w)*w*w)/w)/w)**34*(w*w/w**9)/w**1 assuming w is positive.
w**264
Simplify q**(-1/5)*q*q**(-1/32)*q**(-7)/(q/(q/(q/((q/q**(1/19))/q)))*q) assuming q is positive.
q**(-25183/3040)
Simplify (v/(v/(v*v/(v/(v/(v**4/v))))*v)*v**(3/2)*v)/(((v*(v**(-10)/v)/v)/v)/((v/(v**(-2/9)/v))/v)) assuming v is positive.
v**(247/18)
Simplify (c/c**(-4/11)*c)**(-1/50)*(c*c/c**(-1/20))/(c/(c**(-8/11)/c)) assuming c is positive.
c**(-797/1100)
Simplify ((m/(m*(m/(m/m**(-10)*m))/m))/(m**(-2/37)/m*m))/((m/m**(11/2)*m*m)/((m**(11/4)*m)/m)) assuming m is positive.
m**(2561/148)
Simplify ((h/(h*h/(((h*h**(2/3)*h)/h)/h)))**(-9)/(h**1)**(-33/7))**(-4/7) assuming h is positive.
h**(-216/49)
Simplify (j**1/(j*j**(-2/3)/j)*j**(2/21)/(j*(j*(j*j**(-10))/j*j*j*j)/j))**11 assuming j is positive.
j**(1793/21)
Simplify s**(-2/11)/s**(-2/17)*s**(2/45)/s*s**(-1/11)/s assuming s is positive.
s**(-17761/8415)
Simplify (w**4*w)**(-1/15)/(w**(-15)/((w**12/w)/w*w)) assuming w is positive.
w**(77/3)
Simplify (w/w**(-13))/(w*w/((w*w*w**(3/2)/w)/w)*w*w)*w**(-13)*w*w**13 assuming w is positive.
w**(25/2)
Simplify ((l*l**(-8)*(l**22*l*l*l)/l)**(-41))**24 assuming l is positive.
l**(-16728)
Simplify a**(-18)/(a/a**(-2/39))*a*a**(-23)*a**(7/5) assuming a is positive.
a**(-7732/195)
Simplify (x**(-3)/x)**(-21)*x*x**(-4/15)*x**(-3/17) assuming x is positive.
x**(21562/255)
Simplify (s/s**(-11)*s**(-8/5))/((s/(s*(s*s**(1/3))/s))/s**11) assuming s is positive.
s**(326/15)
Simplify (z**(-3/10)*z*z*z*z**6*z)/(z*z**0)**(2/51) assuming z is positive.
z**(4927/510)
Simplify (m**(-16)/(m/(m*m**(-2)/m)))/(m*m**(6/13)/m*m/m**(-2/3)) assuming m is positive.
m**(-824/39)
Simplify (((a/(a*a*a**(-5)))/(a/a**(-24)))**(1/9))**38 assuming a is positive.
a**(-266/3)
Simplify (h**21/h)/h**(-7)*h**(-1/3)*(h*(h*h**(-29)*h*h*h*h)/h*h*h)/h assuming h is positive.
h**(11/3)
Simplify (c*(c**35*c)/c*c**(-27))**(-12/7) assuming c is positive.
c**(-108/7)
Simplify (s**11)**(-4/5)/(s**(-6)*s)**(-43) assuming s is positive.
s**(-1119/5)
Simplify (w*w**(2/17))**17/((w/w**(-9))/(w*(((w**(-2/21)/w*w)/w)/w)/w*w)) assuming w is positive.
w**(166/21)
Simplify (y/(y**(-27)/y))/(y*y**(2/5))*y**(-16)*y*y*y**(-31) assuming y is positive.
y**(-87/5)
Simplify u**(-2/29)/(u*u*u/(u*u*u*u**5))*(u/((u*u**1)/u*u)*u*u*u)/u*u**5 assuming u is positive.
u**(317/29)
Simplify (w/(w/(w*w**(-2/5))))**(3/19)/(w/((w/w**(1/3)*w)/w*w))**(-11) assuming w is positive.
w**(-2063/285)
Simplify (y**(-7)*(y**9*y*y*y)/y)**(-35) assuming y is positive.
y**(-140)
Simplify c/(c*c/(c**(-2/7)*c))*c**(-1/4)*c*c**(1/10)/(c*c/(c**(-3)/c)) assuming c is positive.
c**(-761/140)
Simplify s**(-8)/(s/(s/((s*s**(2/27))/s)*s))*(s*s**(1/5))**29 assuming s is positive.
s**(3743/135)
Simplify (g/(g/g**(-14))*g*g**(-3/4)*g*g*g*g)/((g/((g/(g**(-26)/g*g))/g))/g**(1/19)) assuming g is positive.
g**(1163/76)
Simplify a**(-2/13)/a*a*a*a**(-1/20)*a/(a/(a**18*a))*a*a**(-16) assuming a is positive.
a**(1247/260)
Simplify (p*((p*p/(p*p/p**(-18/11)*p*p))/p)/p*(p**(1/29)/p)/p)**7 assuming p is positive.
p**(-14742/319)
Simplify (k**(-2/5))**(-2/3)/((k*k**(-2/5))/(k*k/(k/(k/((k/(k/k**14))/k)*k)))) assuming k is positive.
k**(-31/3)
Simplify ((f**6/f*f/f**(-6)*f)**(-50))**(7/6) assuming f is positive.
f**(-2275/3)
Simplify ((i/((i/(i/i**(-10))*i)/i)*i)/i**(-2/45))/((i**(-18)/i)/i**18) assuming i is positive.
i**(2207/45)
Simplify (q/q**0*q)**(-20)/((q*q**(-16)*q)/(q*q/((q/(q*q**(2/31))*q)/q)*q*q)) assuming q is positive.
q**(-680/31)
Simplify l**27*l*l*l**34*(l**(-6/11))**(-50) assuming l is positive.
l**(993/11)
Simplify ((g/g**(-2/25))**(-12))**(-4/5) assuming g is positive.
g**(1296/125)
Simplify (l**14*l**26)**(1/10) assuming l is positive.
l**4
Simplify (((w*w/(w*w**(-18)*w))/w)/w)**(6/7)/(w**17)**(-30) assuming w is positive.
w**(3666/7)
Simplify (c**1)**38/(c**(-1/2)/c**(-3)) assuming c is positive.
c**(71/2)
Simplify (((d**(-6/7))**(11/5))**32)**(-12) assuming d is positive.
d**(25344/35)
Simplify ((p*p/(p/(p/(p*p*p*(p**34*p)/p)))*p)/p)/(p**(-1/4)*p)*p**(-1/11)*p/p**(-18/7) assuming p is positive.
p**(-9939/308)
Simplify (i**(-6))**(-2/109)*((i/((i/(i*i/i**(-2/11))*i)/i))/i)/(i**(-1)/i) assuming i is positive.
i**(3947/1199)
Simplify (y/(y**(-2/31)/y))**(-15)*y**(-2/17)*y**(-3)*y assuming y is positive.
y**(-17436/527)
Simplify o**(-19)*o**(-2/5)*o*o/o**12*o**(-8) assuming o is positive.
o**(-187/5)
Simplify (((((n*(n/(n**(-2/25)/n)*n)/n)/n)/n)/(n*(n*n/n**(3/5))/n))/(n**(-2/3)/n)**(-15))**(3/11) assuming n is positive.
n**(-1899/275)
Simplify (k**2/k**(18/7))/(k/(k/k**4)*k)**(6/7) assuming k is positive.
k**(-34/7)
Simplify (((r*r*r**(-7))/(r*r**0/r))**(1/4))**(-5/4) assuming r is positive.
r**(25/16)
Simplify q**5/(q*q*q**(2/35))*q*q*q**(4/5)*q*q/q**(-3) assuming q is positive.
q**(376/35)
Simplify ((i*i**9)/i**(- | {
"pile_set_name": "DM Mathematics"
} |
) + 2 + 1*(sqrt(76) + sqrt(76) + -1).
-3 + 5*sqrt(19)
Simplify 1*(sqrt(19)*-2 + -4 - sqrt(608)/sqrt(2))**2*2.
96*sqrt(19) + 1400
Simplify 5*3*((sqrt(15) - -2*sqrt(735))/(sqrt(36)/(sqrt(12)*2)) + -5).
-75 + 450*sqrt(5)
Simplify (sqrt(128) + 0)*3 - (3*sqrt(2)*-2*5)**2.
-1800 + 24*sqrt(2)
Simplify (-2*sqrt(78)*3*-3)/(sqrt(12)/((-2*sqrt(18))/sqrt(9))).
-36*sqrt(13)
Simplify (1*((sqrt(153) - (sqrt(153) - sqrt(153)*3 - sqrt(153))) + sqrt(153)) + sqrt(153))/((sqrt(99) + 2*sqrt(99))/sqrt(11)).
2*sqrt(17)
Simplify sqrt(2736) + (6*sqrt(2736)*-6 + sqrt(2736))**2 + -1 + -5.
12*sqrt(19) + 3351594
Simplify (sqrt(5103) - (-1 + -3 + sqrt(5103)))**2 + 2*(sqrt(63) + 0)*-1.
-6*sqrt(7) + 16
Simplify (sqrt(20)/sqrt(4) + sqrt(5) + -3)**2*-1 + -4*sqrt(15)/sqrt(3)*6.
-29 - 12*sqrt(5)
Simplify -5 + 2 + -1*(sqrt(1872)*-1 + sqrt(1872)).
-3
Simplify 5 + 3 + sqrt(14)/sqrt(2) + 4 + 1*sqrt(7) + sqrt(7) + (5*1*sqrt(28) - sqrt(28))/(-4*sqrt(36)).
8*sqrt(7)/3 + 12
Simplify 0 + -6*((sqrt(27)/(sqrt(18)/sqrt(2)))**2 + ((sqrt(30)*-2)/sqrt(10))**2).
-90
Simplify (-1 + (sqrt(343) - (sqrt(343) + -2 + sqrt(343))) + 1 + -2 + sqrt(343) + (-3 + sqrt(343) - sqrt(343)))**2.
9
Simplify ((sqrt(11) + sqrt(33)/(sqrt(3) - sqrt(3)*-1))*6)**2 + 6*sqrt(44) + -1.
12*sqrt(11) + 890
Simplify -5 + (sqrt(20) + (sqrt(2420)*1 - sqrt(2420)) - sqrt(20))/(-2*sqrt(40)/sqrt(4)).
-5
Simplify -3*(-6*(3 + -5 + sqrt(45) + sqrt(45) + 0))**2.
-19872 + 2592*sqrt(5)
Simplify -2 + -5 + sqrt(147) - 2*sqrt(27)/(sqrt(27)/sqrt(3) + sqrt(9)).
-7 + 6*sqrt(3)
Simplify (4*(sqrt(98) - (sqrt(98) + -1)**2) - (-1*sqrt(98) + -4 + sqrt(98) + sqrt(98))**2) + -1.
-511 + 140*sqrt(2)
Simplify (sqrt(14)/(sqrt(14)/(sqrt(6)/sqrt(3))) - (-4 + (sqrt(2) - (-1 + sqrt(2))*-4)))*2.
-8*sqrt(2) + 16
Simplify 1*(-1 + -4*sqrt(18)/sqrt(6)*-6).
-1 + 24*sqrt(3)
Simplify 5*(sqrt(99)/(sqrt(81)/((sqrt(9) - sqrt(36)/sqrt(4)) + sqrt(9))) + (sqrt(1100) + (sqrt(1100) + 2)*-2)**2).
405*sqrt(11) + 5580
Simplify -2 + -5*5*(sqrt(1700) - ((-1 + sqrt(1700) + 2)**2 + sqrt(1700) + sqrt(1700))).
750*sqrt(17) + 42523
Simplify (-1*(1 + -1 + sqrt(19) + 4 + sqrt(1900)*1 + 1))**2.
110*sqrt(19) + 2324
Simplify 6*((-1*((-2*sqrt(2448))**2 - sqrt(2448) - sqrt(2448)) + sqrt(2448))*1 + 2).
-58740 + 216*sqrt(17)
Simplify ((3*sqrt(396)*-1)/sqrt(12))/((sqrt(432) + sqrt(432)*-1 - sqrt(3)) + (sqrt(120)/sqrt(4) + sqrt(30))/sqrt(10)).
-3*sqrt(11)
Simplify (sqrt(972)*-2*5)/(sqrt(12)/(-2*sqrt(12)/sqrt(4))).
180*sqrt(3)
Simplify ((2*sqrt(10))/sqrt(2))**2 + -3 - (sqrt(180)*1 + 1).
-6*sqrt(5) + 16
Simplify ((sqrt(624)*-1)/sqrt(12) - sqrt(52))**2 + 4 + (sqrt(13)*-2 + sqrt(13) - sqrt(13))*-2 + 3 + (sqrt(39)/sqrt(3) - sqrt(13)).
4*sqrt(13) + 215
Simplify 2*(sqrt(270)*2)/(-2*sqrt(150)) + 3.
-6*sqrt(5)/5 + 3
Simplify (2*sqrt(108))**2 + 2 + (sqrt(108) - (0 + sqrt(108) + (sqrt(108)*-1)**2)) - (-2 + -1*sqrt(108)*-6).
-36*sqrt(3) + 328
Simplify (sqrt(13) - (sqrt(325) + 1) - (-3*sqrt(78) - sqrt(78))/sqrt(6)) + 0.
-1
Simplify (sqrt(40)/sqrt(2)*-1 + sqrt(20))/(sqrt(10) - (sqrt(10) - ((sqrt(10) - sqrt(10)*-1)*-6 + sqrt(10)))) + (sqrt(490)*-2 - sqrt(490))/(sqrt(80)*-2).
21*sqrt(2)/8
Simplify (-3*sqrt(153) + -3 + (-1 + 1 + sqrt(153) - sqrt(153)))**2*2.
108*sqrt(17) + 2772
Simplify (-2*sqrt(891)*-1)**2 + (4 + (2*sqrt(891) - sqrt(891)))**2 + (sqrt(891) + -2)*5*1.
117*sqrt(11) + 4461
Simplify (-3*(sqrt(114) - ((sqrt(114) - sqrt(114)*-2) + sqrt(114) + sqrt(114) + sqrt(114))) - sqrt(114))/(sqrt(294)*2 - sqrt(294))*-6.
-12*sqrt(19)
Simplify (sqrt(204)/(-5*sqrt(64)))/(-2*1*(sqrt(3) - sqrt(27))).
-sqrt(17)/80
Simplify (6*(sqrt(192)*-1 - sqrt(192) - sqrt(192)) + -2 + 4 + (sqrt(72)/sqrt(3) + sqrt(24))/sqrt(8) + 0)**2.
-568*sqrt(3) + 60496
Simplify (-3*(2 + 3*(sqrt(931) + 1 + sqrt(931))) + 5)**2.
2520*sqrt(19) + 301744
Simplify 2*-2*sqrt(12) + (sqrt(108) - sqrt(108)*3)/sqrt(9) + -5.
-12*sqrt(3) - 5
Simplify ((2*((sqrt(50) - sqrt(2))*-3 - sqrt(2)))**2 - (-2*(sqrt(162) + sqrt(162)*3) - sqrt(162)))*-6.
-8112 - 486*sqrt(2)
Simplify (sqrt(288) - ((sqrt(288) - 4*sqrt(288)) + 3)**2 - (sqrt(288) + -3 + sqrt(288) + -4)) + -4.
-2598 + 204*sqrt(2)
Simplify ((sqrt(180)/sqrt(3))/sqrt(12) + ((sqrt(605)*-1)**2 - sqrt(605)) - (sqrt(80))**2*-6*-1) + -3.
-10*sqrt(5) + 122
Simplify ((-2 + sqrt(162))*-5 + sqrt(162))**2 - sqrt(242)*3*-1.
-687*sqrt(2) + 2692
Simplify -3 + (2 + 1 + sqrt(700) + sqrt(700))**2*6.
720*sqrt(7) + 16851
Simplify 4 + (sqrt(1088)*3 + -5 + (-1 + sqrt(17) - sqrt(17))*6 + sqrt(17) + 1 + 0)**2.
-500*sqrt(17) + 10729
Simplify (((sqrt(114) + sqrt(114)*-2 + sqrt(114) + sqrt(114) - sqrt(114))*-5)/sqrt(6))**2*-1*2.
0
Simplify (sqrt(285)/(-1*sqrt(500) - sqrt(5)))/(sqrt(18)/(sqrt(6) - (2*sqrt(726) - sqrt(726) - sqrt(726)))).
-sqrt(19)/11
Simplify (-2*sqrt(66)*2)/(sqrt(54)*-4).
sqrt(11)/3
Simplify -5*(sqrt(27)*2 + sqrt(15)/(sqrt(20)/sqrt(4)) - (1*sqrt(3)*1*-5)**2).
-35*sqrt(3) + 375
Simplify (4 + -1*sqrt(162) + 4 - (-4 + -3 + 2*sqrt(162) + sqrt(162)))**2.
-1080*sqrt(2) + 2817
Simplify (-2*(-1 + sqrt(833) + sqrt(833)))**2 + sqrt(102)/(sqrt(384)/sqrt(4)).
-447*sqrt(17)/4 + 13332
Simplify 2*(1*(sqrt(5) + -2)**2*-6 + ((sqrt(45) + -3)*1)**2).
12*sqrt(5)
Simplify 3 + ((0 + sqrt(1300)*2 - sqrt(1300) - sqrt(1300))*1)**2.
3
Simplify (-1*sqrt(187)*3*-6)/(3*(-3*sqrt(275) + sqrt(275)) + sqrt(275)).
-18*sqrt(17)/25
Simplify (1 + (sqrt(891) + sqrt(891) + 1)*-3 + -2)**2.
432*sqrt(11) + 32092
Simplify (2 + (4 + 0 + sqrt(396))*-4)**2.
672*sqrt(11) + 6532
Simplify ((sqrt(120) - (sqrt(120)*2*2 - sqrt(120) - sqrt(120)) - sqrt(120))/sqrt(8))/(sqrt(5) + (sqrt(500)*2 - sqrt(500)) - (sqrt(5) - sqrt(20)/sqrt(4)*-3)).
-2*sqrt(3)/7
Simplify -5 + 5 + (-2*-1*sqrt(6) - sqrt(6))/(1*sqrt(432)) + 3.
sqrt(2)/12 + 3
Simplify 2*((sqrt(343) - -2*sqrt(343))*-2 - (sqrt(343) - (sqrt(343) + -3 + -1 + sqrt(343))**2))*2.
-644*sqrt(7) + 5552
Simplify -3*((((sqrt(180) - sqrt(180)*-1 - sqrt(180)) + -5)*6)**2 - ((sqrt(180) + sqrt(180) + sqrt(180) + 1 - sqrt(180))*1*-5)**2).
8280*sqrt(5) + 31935
Simplify -2*(sqrt(2) + (-5*(sqrt(32) - sqrt(2)))**2 + -6*(sqrt(2) - sqrt(2)*-2) - (sqrt(288)*-3 + sqrt(288) + 2)**2).
-158*sqrt(2) + 1412
Simplify (sqrt(2448)*2 + sqrt(2448))*4 - ((sqrt(17) - -1*-1*sqrt(17)) + sqrt(17)*1 + -3)**2.
-26 + 150*sqrt(17)
Simplify (sqrt(605)*-1)**2 + 5 + (sqrt(80) - sqrt(5)) + sqrt(55)/(sqrt(891)*-2).
53*sqrt(5)/18 + 610
Simplify (6*sqrt(18)/sqrt(3)*-6)/(-3*(sqrt(288) - (sqrt(288) - sqrt(288)*-2)))*-3.
3*sqrt(3)/2
Simplify ((sqrt(80)/(sqrt(20)/sqrt(4)))/(-5*(sqrt(8)*1 + sqrt(8))))**2 + 5 + 1 + 1.
351/50
Simplify (sqrt(1539) - (-5*sqrt(1539)*-1 - sqrt(1539)) - (sqrt(95) - (sqrt(95) - (sqrt(95) - -2*sqrt(95))*-6 - sqrt(95)))/sqrt(5))**2.
1900
Simplify (5 + sqrt(3)*2 + (sqrt(3) - sqrt(48)/sqrt(4)))**2 - (sqrt(363)*-5*-5)**2.
-226847 + 10*sqrt(3)
Simplify (-2*sqrt(2000) - (sqrt(1620)*-1 + sqrt(1620)))/(sqrt(70)/(sqrt(7)*-2)*2).
20*sqrt(2)
Simplify (-5*(2 + (sqrt(500)*2 + sqrt(500) + sqrt(500) - sqrt(500)) + 2*(2 + sqrt(500) + sqrt(500)))*3*5)**2.
4725000*sqrt(5) + 138015000
Simplify (1*sqrt(864)*6)/((sqrt(392)*1 + sqrt(392))*3).
6*sqrt(3)/7
Simplify ((2 + sqrt(475))*-5 - (5 + (sqrt(475) - sqrt(475)*2))) + 4.
-20*sqrt(19) - 11
Simplify (-4*(sqrt(384) + sqrt(384)*-2) - sqrt(384) - sqrt(384))/((sqrt(12) + sqrt(12)*-3)*-6).
2*sqrt(2)/3
Simplify (-1 + (sqrt(10)/sqrt(2) + 5 + -1 - (sqrt(10)/sqrt(2) + 3 - 1*sqrt(180))))**2.
180
Simplify -1 + sqrt(3) + (sqrt(132)/sqrt(11))/sqrt(4) - (-4 + (2 + 1 + sqrt(3) + sqrt(3))**2).
-18 - 10*sqrt(3)
Simplify (sqrt(25)/sqrt(5))**2 + 3 + (2 + sqrt(605) - sqrt(5))**2 - (sqrt(125) + -2 - sqrt(10)/sqrt(2)*-5)**2.
8 + 80*sqrt(5)
Simplify 4 + ((sqrt(130) - ((sqrt(130) + 5*sqrt(130))*-3 + sqrt(130))) + sqrt(130))/(6*sqrt(810)).
19*sqrt(13)/54 + 4
Simplify -1 + (1 + sqrt(28) - (0 + sqrt(1008)) - sqrt(42)/(6*(sqrt(6) - 2*sqrt(6)))).
-59*sqrt(7)/6
Simplify -1 + ((sqrt(162) - (5 + 0 + sqrt(162))) + 1)**2 + -5.
10
Simplify ((sqrt(76) - -2*sqrt(76))*3 + sqrt(76))/(sqrt(36)*-6)*-6.
10*sqrt(19)/3
Simplify 4*(sqrt(1872) + -1)**2 + sqrt(1872) + (sqrt(143) - (sqrt(143) - ((sqrt(143)*2 + sqrt(143))*-5 - sqrt(143) - sqrt(143))))/sqrt(11).
-101*sqrt(13) + 7492
Simplify ((((sqrt(99) - sqrt(99)*4) + sqrt(99))*-6 + sqrt(99))/(1*sqrt(9)*3))**2.
1859/9
Simplify 4*(sqrt(40)*4)/(sqrt(5) - sqrt(45)/(sqrt(9) + sqrt(81))) + 0.
128*sqrt(2)/3
Simplify -2* | {
"pile_set_name": "DM Mathematics"
} |
- 4
Let s(m) = m. Let c(a) = -2771530*a**2 - 10*a - 1. Give c(s(d)).
-2771530*d**2 - 10*d - 1
Let k(d) = -1372*d - 1. Let m(i) = i**2 + i + 1. Let n(x) = 12*x**2 + 11*x + 11. Let b(h) = 11*m(h) - n(h). Calculate k(b(f)).
1372*f**2 - 1
Let z(m) = -m**2 - 7*m - 12. Let i be z(-3). Let r be (i - 2)*(-1)/((-6)/(-27)). Let v(b) = -63 + 36 + 27 - r*b. Let d(q) = q. Determine v(d(g)).
-9*g
Let t(u) be the third derivative of -u**5/60 + 136*u**3/3 - 5282*u**2. Let z(v) = 25*v. Give t(z(l)).
-625*l**2 + 272
Let r(f) = -2*f**2. Let m(b) = 86144693*b. Give m(r(s)).
-172289386*s**2
Let m(z) = -10*z**2. Let a(p) be the third derivative of -29*p**5/5 - 705*p**2. Determine a(m(q)).
-34800*q**4
Let p(y) = 12*y - 5. Let o(i) = -5*i + 2. Let x be 1/(-4) + 63/12. Let b(k) = x*o(k) + 2*p(k). Let q(a) = 19*a + 1. Calculate q(b(w)).
-19*w + 1
Let c(q) = -26*q - 77. Let n(k) = 13*k + 42. Let m(g) = -6*c(g) - 11*n(g). Let t(p) = 10*p - 25. Determine t(m(a)).
130*a - 25
Let v(u) = 7*u. Let a(q) = -29*q + 16. Let n(g) = -121*g + 62. Let t(h) = -25*a(h) + 6*n(h). What is v(t(f))?
-7*f - 196
Let h(z) = -4*z**2 - 3*z. Let r(p) be the second derivative of 5*p**3/6 - p + 434. Determine h(r(t)).
-100*t**2 - 15*t
Let r(y) be the second derivative of y**4/12 - 56*y. Let m(h) be the second derivative of 125*h**4/12 + 57*h. What is m(r(k))?
125*k**4
Let f be 0 + (-1 - -4) + (-2)/2. Suppose 0*b + 2*b = 4*q - 32, 0 = -f*b - 8. Let z(i) = 2*i**2 - q*i**2 + 6*i**2. Let h(v) = -12*v**2. Determine z(h(s)).
288*s**4
Let j(i) = -2*i**2. Suppose -5*b - 5*a + 8*a + 96 = 0, b - 24 = -a. Let g(q) = 42*q - 1 - b*q - 27*q. Give j(g(t)).
-72*t**2 - 24*t - 2
Let n(g) = -13 + 24 + 25*g - 42*g - 11. Let x(c) be the second derivative of c**4/12 - 3*c. Give n(x(l)).
-17*l**2
Let h(n) = 203*n**2. Let b(w) = 8*w - 3088012 + 3088012. Determine h(b(q)).
12992*q**2
Let m(k) = k. Let z(v) = -474668632*v. What is z(m(w))?
-474668632*w
Let t(r) be the third derivative of 0*r + 0 - 1/30*r**5 + 0*r**3 + 0*r**4 + 30*r**2. Let m(a) = 6*a**2 - 2. Give t(m(z)).
-72*z**4 + 48*z**2 - 8
Let x(l) be the third derivative of 5*l**4/24 + 3*l**2 + 1039. Let q(r) = r**3 - 4*r + 3. Let t be q(2). Let s(p) = p - t*p - 7*p. What is s(x(g))?
-45*g
Let h(y) = -28415*y. Let x(k) = -427*k**2 - 3*k. Calculate h(x(n)).
12133205*n**2 + 85245*n
Let b(v) = 2*v. Let l(u) = -527257*u + 1231. What is l(b(p))?
-1054514*p + 1231
Let d(s) = 2*s**2 - 6422*s - 14. Let r(a) = -404*a. Give r(d(q)).
-808*q**2 + 2594488*q + 5656
Let z(o) = 12474*o**2. Let r(h) = 8*h - 55. Let m(y) = 3*y - 20. Let v(w) = -11*m(w) + 4*r(w). Give z(v(k)).
12474*k**2
Let q(f) = -153 - 237 + 396 + 217*f**2. Let a(w) = 2*w. Give a(q(n)).
434*n**2 + 12
Let j(b) = b - 16. Let n(o) be the first derivative of 14 + 1/24*o**4 + 0*o + 9/2*o**2 + 0*o**3. Let f(k) be the second derivative of n(k). Determine j(f(i)).
i - 16
Let n(p) = -26*p. Suppose -5*i - 3*t + 6*t + 15 = 0, -3*t = 4*i - 12. Let z(v) = -10*v + i*v + 3*v + 2*v. What is n(z(u))?
52*u
Let r(c) = 32*c**2. Let o(k) = 749971*k**2. What is r(o(h))?
17998608026912*h**4
Let d(s) = -1072*s**2 + 15*s + 5. Let p(n) = 698941*n**2 - 9783*n - 3261. Let m(b) = -3261*d(b) - 5*p(b). Let x(v) = -v. What is x(m(q))?
-1087*q**2
Let a(p) = 6*p. Let n(t) = 14 - 4 + 2*t + 27*t - 10. Give n(a(i)).
174*i
Let x(j) = 701*j. Let p(q) = 7*q + 15. Let k(h) = 15*h + 35. Let n(b) = 3*k(b) - 7*p(b). Determine n(x(l)).
-2804*l
Let q(d) = -15*d**2 + 24*d + 4. Let u(k) = 19*k**2 - 30*k - 5. Let y(a) = -5*q(a) - 4*u(a). Let o(p) = -2*p + 255. What is y(o(f))?
-4*f**2 + 1020*f - 65025
Let p(l) = 78573379*l. Let d(v) = -v**2. Determine d(p(i)).
-6173775887477641*i**2
Let w(r) = -458*r. Let b(j) = j**2 + 613*j - 78. Determine b(w(q)).
209764*q**2 - 280754*q - 78
Let n(m) = -25*m**2 - m. Let o(y) be the second derivative of 0*y**2 + 0 - 7*y - 1/12*y**4 + 0*y**3. Give o(n(l)).
-625*l**4 - 50*l**3 - l**2
Let z(x) = -24092*x - 1. Let n(b) = -3*b**2 - 30. Give z(n(f)).
72276*f**2 + 722759
Let c(k) be the first derivative of k**5/12 - 73*k**2 - 230. Let t(d) be the second derivative of c(d). Let l(y) = -12*y. Determine l(t(q)).
-60*q**2
Let s(m) = -17*m**2 - 208440. Let h(f) = 55*f. Give h(s(j)).
-935*j**2 - 11464200
Let q(y) be the first derivative of -2*y**3/3 - 2287. Let a(c) = -7*c - 23. What is a(q(x))?
14*x**2 - 23
Let x(l) = 35*l**2 - l + 1. Let f be x(1). Let i be 24/14 - (-10)/f. Let s(d) = 28*d**2 - 1 - 30*d**i + 1. Let a(t) = 7*t**2. Give a(s(n)).
28*n**4
Let j(p) = 2*p**2 + 0*p + 0*p. Let r(k) = 191 - 7*k - 10*k - 131 - 60. Calculate j(r(y)).
578*y**2
Let o(v) be the second derivative of -13*v**3/2 + v - 8. Suppose 0 = -2*m + 5*h + 24, 3*m - 4*h + 14 = -9*h. Let x(c) = 15 - 9 + m*c - 6. Determine o(x(n)).
-78*n
Let k(m) = 3*m**2 - 124*m. Let a(q) = 2*q**2 + q + 2. Let y(r) = 5*r**2 + 3*r + 6. Let d(g) = 6*a(g) - 2*y(g). Calculate k(d(f)).
12*f**4 - 248*f**2
Let l(n) = -46742678*n**2. Let i(v) = -2*v. Calculate l(i(x)).
-186970712*x**2
Let o(m) = 143353*m. Let n(k) = -2*k**2 - 87*k. Determine n(o(r)).
-41100165218*r**2 - 12471711*r
Let f(n) = -3*n. Let z(x) = -20*x + 127. Let a be z(6). Let m(p) = a*p**2 + 10*p + p - 11*p - 3 - 3*p**2. Calculate m(f(r)).
36*r**2 - 3
Let r(l) = -7*l**2. Suppose 4*q - 12 = -2*q. Let f(g) be the first derivative of -20 + 3*g**2 - 2*g**2 + 0*g**q + 29. Calculate f(r(x)).
-14*x**2
Let m(s) = -12*s. Let r(h) = 15*h - 11. Let y be r(4). Let j = y - 47. Let p(f) = -19*f**2 - 22*f**2 + 40*f**j. Calculate m(p(u)).
12*u**2
Let u(c) = -40*c**2 + 5*c - 11. Let d(x) = -87*x**2 - 1. Give u(d(m)).
-302760*m**4 - 7395*m**2 - 56
Let k(s) = 2*s**2. Let z(h) be the third derivative of -155/8*h**4 + 4*h + 0*h**3 + 0 - 7*h**2. Calculate z(k(u)).
-930*u**2
Let j(y) = -1854*y + 2. Let z(t) = 2076*t. Calculate j(z(h)).
-3848904*h + 2
Let z(t) = -564*t. Suppose -p + 16 = 5*r - 13, -r = 3*p - 115. Let o(k) = -8*k - 8*k - 9*k + p*k - 12*k. Determine z(o(m)).
-1128*m
Let s(y) = 21*y**2. Let j(o) = 62*o**2 - 186*o - 38. Give j(s(h)).
27342*h**4 - 3906*h**2 - 38
Let t(q) = 2698*q + 2934*q + 2895*q - 9102*q. Let r(h) = -4*h. What is t(r(s))?
2300*s
Let b(v) = -68*v. Let w(z) = -605*z**2 + 3*z - 1. Determine b(w(l)).
41140*l**2 - 204*l + 68
Let x(k) = 39*k + 216. Let t(m) = m - 36. Let o(q) = 30*t(q) + 5*x(q). Let v(g) = 16*g**2. Determine o(v(y)).
3600*y**2
Let r(l) be the first derivative of 0*l - 9/2*l**2 - 29. Let n(u) be the first derivative of -3*u**2/2 - 1. Determine r(n(c)).
27*c
Let i(j) = 2. Let a(r) = -41*r - 738. Suppose 5*d + 947 = -6433. Let u(m) = d*i(m) - 4*a(m). Let l(v) = -v**2. What is u(l(g))?
-164*g**2
Let q(v) = -104*v**2. Let x(l) be the second derivative of -1/12*l**4 + 0*l**3 - 157*l + 0*l**2 + 0. What is x(q(d))?
-10816*d**4
Let y(u) = -3*u + 2. Let k(m) = 2944*m + 1. Calculate y(k(g)).
-8832*g - 1
Let o(l) = -172*l. Let c(x) = -46*x + 13859. Determine o(c(m)).
7912*m - 2383748
Let a(s) = 3*s. Let w = -232 - -234. Let b(h) = 17*h**2 - w*h**2 - 5*h**2 + 14*h**2. Calculate b(a(q)).
216*q**2
Let w(y) = -2*y. Let v(m) be the second derivative of 875*m**4/12 + 361*m + 1. Determine w(v(b)).
-1750*b**2
Let t(m) = -7*m**2. Let g(l) = -423*l + 1438*l - 429*l - 401*l. What is g(t(v))?
-1295*v**2
Let s(t) = -7*t**2 + 2*t. Let q(u) = 1725 - 3*u**2 - 5161 + 2*u**2 + 1722 + 1725. Give s(q(o)).
-7*o**4 + 152*o**2 - 825
Let c(r) = -24*r**2. Let a(b) = -45046*b. What is a(c(s))?
1081104*s**2
Let g(j) = 1040*j**2 + 546*j + 364. Let f(o) = 63*o**2 + 33*o + 22. Let s(z) = 182*f(z) - 11*g(z). Let q(y) = 34*y. What is q(s(a))?
884*a**2
Let z(g) be the third derivative of 0*g**3 + 0 - 5/12*g**4 - 24*g**2 + 0*g. Let o(x) = -13*x**2. Determine o(z(u)).
-1300*u**2
Let b(l) = 4*l**2. Let c(g) = -6066681*g. What is c(b(t))?
-24266724*t**2
Let b(s) = 30541*s. Let d(j) = -5*j - 16. Determine b(d(q)).
-152705*q - 488656
Let k(x) = x**2 - 50. Let i(h) = -1594*h - 2. Calculate k(i(t)).
2540836*t**2 + 6376*t - 46
Let r(f) = -94*f + 21213. Let x(g) = 2*g. Calculate x(r(z)).
-188*z + 42426
Let x(g) = 250404*g**2. Let f(p) = -1007*p**2. Calculate x(f(u)).
253921925796*u**4
Let m(s) = -51632*s + 123. Let n(c) = -c. What is m(n(d))?
51632*d + 123
Let h(t) = -t**2 + 256*t. Let z(w) = -134 - 2*w + 35 + 71 + 28. Calculate z(h(p)).
2*p**2 - 512*p
Let a(b) | {
"pile_set_name": "DM Mathematics"
} |
ple of 10?
True
Is 9207 a multiple of 93?
True
Is 141021 a multiple of 81?
True
Is 11 a factor of 3927?
True
Does 9 divide 433?
False
Does 152 divide 77410?
False
Does 63 divide 1528?
False
Does 19 divide 24482?
False
Is 49 a factor of 3412?
False
Is 570 a multiple of 18?
False
Is 25 a factor of 780?
False
Does 46 divide 368?
True
Is 42 a factor of 2772?
True
Does 4 divide 1536?
True
Does 16 divide 57?
False
Is 29 a multiple of 20?
False
Is 17 a factor of 401?
False
Is 10 a factor of 8290?
True
Is 45 a factor of 8139?
False
Does 32 divide 2272?
True
Does 5 divide 4722?
False
Is 1643 a multiple of 16?
False
Does 8 divide 314?
False
Is 19575 a multiple of 87?
True
Is 38 a factor of 2258?
False
Is 3932 a multiple of 15?
False
Is 798 a multiple of 14?
True
Does 13 divide 624?
True
Does 4 divide 5576?
True
Is 1572 a multiple of 131?
True
Does 4 divide 13960?
True
Is 131 a multiple of 17?
False
Does 20 divide 204?
False
Is 42550 a multiple of 185?
True
Is 61 a factor of 160?
False
Is 4811 a multiple of 21?
False
Does 121 divide 8687?
False
Is 9 a factor of 7057?
False
Is 14016 a multiple of 192?
True
Is 1265 a multiple of 2?
False
Is 2 a factor of 6?
True
Is 4160 a multiple of 3?
False
Is 11848 a multiple of 100?
False
Is 13 a factor of 56472?
True
Does 53 divide 19612?
False
Is 103 a multiple of 46?
False
Is 127 a factor of 8174?
False
Is 7 a factor of 142?
False
Is 1275 a multiple of 75?
True
Does 17 divide 1938?
True
Does 24 divide 134990?
False
Does 12 divide 88980?
True
Is 14 a factor of 556?
False
Is 94 a factor of 5828?
True
Is 26 a factor of 1290?
False
Does 9 divide 2216?
False
Does 19 divide 209?
True
Is 62 a factor of 1276?
False
Does 27 divide 3339?
False
Does 8 divide 23232?
True
Does 28 divide 93?
False
Is 99942 a multiple of 44?
False
Is 1302 a multiple of 14?
True
Is 46 a factor of 4550?
False
Is 13 a factor of 104?
True
Is 56 a factor of 205698?
False
Is 1541 a multiple of 36?
False
Is 26502 a multiple of 21?
True
Does 5 divide 222?
False
Is 1517 a multiple of 41?
True
Is 23 a factor of 32867?
True
Is 83 a factor of 68469?
False
Is 3953 a multiple of 67?
True
Does 20 divide 995?
False
Is 17 a factor of 731?
True
Does 74 divide 30784?
True
Is 16 a factor of 5331?
False
Does 10 divide 340?
True
Is 6 a factor of 6502?
False
Is 1392 a multiple of 48?
True
Is 2712 a multiple of 7?
False
Is 149 a factor of 5192?
False
Does 25 divide 18837?
False
Does 27 divide 327?
False
Is 9108 a multiple of 70?
False
Is 13 a factor of 20379?
False
Does 2 divide 616?
True
Is 268 a multiple of 23?
False
Is 50 a factor of 5137?
False
Is 123 a factor of 5166?
True
Is 1312 a multiple of 41?
True
Does 187 divide 22142?
False
Is 3044 a multiple of 21?
False
Is 5684 a multiple of 58?
True
Does 11 divide 325?
False
Does 21 divide 252?
True
Is 70610 a multiple of 307?
True
Does 11 divide 1713?
False
Is 50752 a multiple of 14?
False
Is 20574 a multiple of 54?
True
Is 779 a multiple of 41?
True
Is 9 a factor of 2423?
False
Is 20 a factor of 480?
True
Does 58 divide 1450?
True
Is 20 a factor of 780?
True
Is 15668 a multiple of 16?
False
Does 7 divide 3129?
True
Does 9 divide 199?
False
Is 27840 a multiple of 8?
True
Does 111 divide 1281?
False
Does 19 divide 31514?
False
Is 3 a factor of 7995?
True
Does 8 divide 13075?
False
Does 16 divide 34891?
False
Is 10 a factor of 474?
False
Is 26 a factor of 31252?
True
Does 14 divide 14?
True
Does 17 divide 1309?
True
Is 4446 a multiple of 39?
True
Is 525 a multiple of 75?
True
Does 65 divide 46769?
False
Is 156 a factor of 66863?
False
Is 10023 a multiple of 7?
False
Is 129 a multiple of 7?
False
Is 37 a factor of 10047?
False
Is 109 a multiple of 4?
False
Is 23 a factor of 3498?
False
Is 16762 a multiple of 58?
True
Does 162 divide 1405?
False
Does 23 divide 17687?
True
Does 19 divide 10849?
True
Is 147 a multiple of 7?
True
Does 7 divide 7271?
False
Does 38 divide 50844?
True
Is 25 a factor of 17665?
False
Does 37 divide 333?
True
Is 23 a factor of 414?
True
Does 52 divide 18118?
False
Is 345 a multiple of 5?
True
Does 71 divide 5864?
False
Does 17 divide 150?
False
Is 36 a multiple of 19?
False
Is 29 a factor of 2233?
True
Is 8002 a multiple of 15?
False
Does 129 divide 9030?
True
Does 80 divide 31003?
False
Does 138 divide 71062?
False
Is 23 a factor of 3266?
True
Is 29 a factor of 56724?
True
Is 680 a multiple of 136?
True
Does 83 divide 4648?
True
Is 75 a multiple of 13?
False
Is 7480 a multiple of 44?
True
Does 32 divide 75940?
False
Is 2 a factor of 202?
True
Is 51 a factor of 510?
True
Is 18 a factor of 1620?
True
Does 9 divide 43146?
True
Is 144 a factor of 32077?
False
Does 79 divide 19513?
True
Is 1624 a multiple of 29?
True
Does 11 divide 10058?
False
Does 3 divide 104?
False
Is 132548 a multiple of 13?
True
Is 6127 a multiple of 73?
False
Is 8 a factor of 120112?
True
Does 449 divide 23797?
True
Is 13 a factor of 2043?
False
Is 37 a factor of 42587?
True
Does 47 divide 1044?
False
Is 8 a factor of 8032?
True
Is 21 a factor of 168?
True
Is 4256 a multiple of 44?
False
Does 4 divide 600?
True
Is 11 a multiple of 3?
False
Is 24 a factor of 55?
False
Does 68 divide 99960?
True
Does 22 divide 26?
False
Is 16544 a multiple of 32?
True
Is 30 a multiple of 3?
True
Is 21318 a multiple of 102?
True
Does 22 divide 1254?
True
Is 3 a factor of 834?
True
Is 48 a factor of 10032?
True
Is 20 a factor of 29320?
True
Does 16 divide 1770?
False
Is 7068 a multiple of 19?
True
Is 2 a factor of 2711?
False
Does 15 divide 3491?
False
Is 6048 a multiple of 7?
True
Is 253 a factor of 31106?
False
Is 270 a multiple of 8?
False
Is 972 a multiple of 10?
False
Is 2082 a multiple of 30?
False
Is 3204 a multiple of 69?
False
Is 1593 a multiple of 9?
True
Is 6480 a multiple of 20?
True
Is 13447 a multiple of 43?
False
Does 13 divide 2821?
True
Is 420 a multiple of 21?
True
Is 46584 a multiple of 9?
True
Is 8 a factor of 16069?
False
Is 52 a factor of 468?
True
Does 7 divide 12201?
True
Is 352 a multiple of 7?
False
Does 30 divide 3750?
True
Is 22 a factor of 1716?
True
Does 75 divide 2175?
True
Does 70 divide 13406?
False
Is 11645 a multiple of 9?
False
Is 9 a factor of 2430?
True
Is 22 a factor of 75460?
True
Is 444 a factor of 13320?
True
Does 8 divide 600?
True
Is 5263 a multiple of 22?
False
Does 69 divide 138?
True
Does 85 divide 1027?
False
Is 51 a factor of 28050?
True
Is 22270 a multiple of 262?
True
Does 18 divide 13108?
False
Does 5 divide 5760?
True
Does 15 divide 5231?
False
Is 31 a factor of 18394?
False
Is 23 a factor of 11431?
True
Is 4 a factor of 1128?
True
Is 6878 a multiple of 61?
False
Is 540 a multiple of 108?
True
Is 753 a multiple of 49?
False
Is 15872 a multiple of 128?
True
Is 453 a multiple of 100?
False
Is 21 a multiple of 16?
False
Does 51 divide 3308?
False
Does 39 divide 897?
True
Does 70 divide 700?
True
Is 5 a factor of 7870?
True
Is 1148 a multiple of 41?
True
Is 1365 a multiple of 105?
True
Is 24 a factor of 2880?
True
Is 3422 a multiple of 11?
False
Does 24 divide 1776?
True
Is 418 a multiple of 53?
False
Is 896 a multiple of 7?
True
Does 16 divide 3492?
False
Is 24 a factor of 40800?
True
Is 46110 a multiple of 58?
True
Does 68 divide 886?
False
Is 61 a multiple of 4?
False
Is 23 a factor of 18579?
False
Is 22 a factor of 34892?
True
Is 114 a factor of 2622?
True
Is 72 a factor of 3117?
False
Is 35 a factor of 4970?
True
Is 3 a factor of 820?
False
Does 67 divide 201?
True
Is 24 a factor of 2283?
False
Is 28 a factor of 31392?
False
Is 13188 a multiple of 21?
True
Does 22 divide 12760?
True
Is 320 a multiple of 20?
True
Does 16 divide 33406?
False
Does 33 divide 19404?
True
Is 2700 a multiple of 12?
True
Does 47 divide 15651?
True
Is 6324 a multiple of 5?
False
Does 86 divide 3010?
True
Is 2415 a multiple of 23?
True
Is 721 a multiple of 3?
False
Does 17 divide 170?
True
Does 24 divide 45000?
True
Is 4 a factor of 184?
True
Is 68186 a multiple of 30?
False
Is 567 a multiple of 112?
False
Does 18 divide 349?
False
Is 23371 a multiple of 39?
False
Is 67 a factor of 29279?
True
Does 28 divide 7537?
False
Is 163 a multiple of 9?
False
Is 2 a factor of 281?
False
Does 6 divide 1116?
True
Is 5218 a multiple of 72?
False
Is 18 a factor of 12446?
False
Is 384 a multiple of 8?
True
Does 11 divide 8503?
True
Do | {
"pile_set_name": "DM Mathematics"
} |
prime factors of b(1)?
3
Let g = -2909 + 4898. List the prime factors of g.
3, 13, 17
Let z be 76 - (2/(-4)*-2 + 2). Suppose -j = -204 + z. What are the prime factors of j?
131
Suppose -4*f - 13 = -41. Let b(o) = 9*o - 13. Let u be b(5). Let j = u + f. List the prime factors of j.
3, 13
Let w(t) be the first derivative of t**2 + 27*t - 6. Let z be w(-12). Suppose 3*p = u - 2*u + 88, -32 = -p - z*u. What are the prime factors of p?
29
List the prime factors of (-2)/9 - ((-8020)/45 - -3).
5, 7
Let n be (-4 + 316/8)*2. Suppose 8*y = 599 - n. What are the prime factors of y?
2, 3, 11
Let t(g) be the first derivative of 8*g**3/3 - g**2/2 - 2*g - 2. List the prime factors of t(2).
2, 7
Let y be (-9)/2*(4 + (-200)/45). Suppose -2*d = 0, -7*d = -5*r - y*d + 445. What are the prime factors of r?
89
Suppose -3*m + 2*m = -5*m. Suppose m*h + 30 = h. List the prime factors of h.
2, 3, 5
Let z(h) = -h**3 - 2*h - 8. Let y be z(-2). Let t be (0/(-1 - 2))/(-1). Suppose d - 3*v + 41 = 2*d, y*v + 16 = t. What are the prime factors of d?
53
Suppose -5*p = 15, -2*r + p = -r - 6. List the prime factors of (-88)/r*(-72)/32.
2, 3, 11
Let m = -41 + -25. Let d = m + 109. Let g = -23 + d. List the prime factors of g.
2, 5
List the prime factors of (-6)/8 - 191273/(-76).
2, 17, 37
Let h = 1076 - 614. What are the prime factors of h?
2, 3, 7, 11
Suppose -9*z + 10*z = -10. Let d(j) = j + 18. Let u be d(z). What are the prime factors of ((-4)/u)/((-2)/44)?
11
Let f(g) = -g**3 + g - 40. Let s be f(0). Suppose -5*a + 3*i = 296, -2*a - i - 230 = 2*a. Let j = s - a. List the prime factors of j.
2, 3
Let b be ((-10)/6)/((-2)/120). Let n = b - 71. What are the prime factors of n?
29
Let f = 13 - 46. List the prime factors of (44 - f) + 1*-1.
2, 19
Let h = 5 - 0. Suppose 0*z - 3*x = -z + 42, -h*z = 3*x - 120. List the prime factors of z.
3
Let f(o) = 1189*o. Let g(n) = 36*n. Let m(k) = 5*f(k) - 164*g(k). Let y be m(2). Suppose -3*h - 82 = -4*p + y, p = h + 40. List the prime factors of p.
2, 11
Let j(y) = y**2 - 12. Let s be 136/(-24) - (-2)/(-6). What are the prime factors of j(s)?
2, 3
Let t(g) be the first derivative of -1/4*g**4 - 9*g - 2/3*g**3 + 10 + 2*g**2. What are the prime factors of t(-5)?
2, 23
Let r(g) = -g + 1. Let x be r(-3). Let q = 169 - 157. Suppose x*b + q = 28. List the prime factors of b.
2
Let s be (-9347)/39 - (-4)/6. Let x = s - -419. Suppose 4*a - x = 5*k, a = 3*a - 3*k - 90. List the prime factors of a.
3, 5
Let v = -14 - -19. Suppose 2*k - 3*y + 5 = 0, -4*k - v*y = 3 - 48. What are the prime factors of k?
5
Suppose -1536 = -3*x - x. Let a = x + -268. List the prime factors of a.
2, 29
Let b(y) be the second derivative of y**4/2 - y**3/3 - 2*y**2 - 14*y. What are the prime factors of b(4)?
2, 3, 7
Suppose 15*d - 16*d = 0. Suppose 3*k + j - 3*j - 785 = d, -4*k = 4*j - 1060. What are the prime factors of k?
263
Let u be (3/(-2))/((-3)/(-4)). Let x(y) = 17*y**2 - 4*y - 5. List the prime factors of x(u).
71
Let l be (-2)/(-17) + (-5654)/374. List the prime factors of ((-1920)/l)/(-1 + 2).
2
Let k = 97 - 39. Suppose l = -3*c + k + 61, 2*c = -4*l + 66. List the prime factors of c.
41
Let m(j) be the third derivative of -j**6/40 - j**5/60 + j**4/8 + j**3/6 - 9*j**2. List the prime factors of m(-3).
2
Let y(t) be the first derivative of t**3/3 - 5*t**2 + 11*t - 16. What are the prime factors of y(14)?
67
Let g(y) be the second derivative of -y**5/2 - y**4/12 + y**2/2 - y. Suppose 4*l = t + 21, 3*t + 4*l - 22 = -l. List the prime factors of g(t).
2, 5
Let z be (-4)/(2*(-3)/6). Suppose 3*l + 6 = 0, 2392 + 502 = z*c - 3*l. List the prime factors of c/171 - (-2)/(-9).
2
Let k(m) = 2*m**2 - 12*m + 5. Let d be k(5). Let x(o) = -6*o - 5. Let w(p) = -p - 1. Let n(z) = -4*w(z) + x(z). What are the prime factors of n(d)?
3
Let s(h) = 8*h**2 + h - 16. Let a be -3 - (-1)/(-3)*9. What are the prime factors of s(a)?
2, 7, 19
Suppose 11 = -5*f + 36. Suppose -4*b = -5*q - 99, 0*b = 5*b - f*q - 120. Let v = 10 + b. What are the prime factors of v?
31
Let r(l) = -182*l + 94*l + 95*l + 10*l**3 - 4. What are the prime factors of r(2)?
2, 3, 5
Suppose -5*m + 4379 = 5*d - 3346, -2*m + 7737 = 5*d. What are the prime factors of d?
1549
List the prime factors of 1588/(-14)*(-98)/28.
397
Let z = 32 + -11. Suppose -8*y - 3 = z. Let q(p) = -2*p**3 - 5*p**2 - 4*p - 2. List the prime factors of q(y).
19
Let s be 8*(4 - (3 + 71)). What are the prime factors of s/(-6) + 4*(-3)/36?
3, 31
Let x(s) = -19*s**2 - 3*s + 10. Let r be x(3). Let z = -103 - r. List the prime factors of z.
67
Let u = 1132 + -360. List the prime factors of u.
2, 193
What are the prime factors of 38/95 + 6178/5?
2, 3, 103
Let h(z) = z**2 - 22*z - 84. What are the prime factors of h(-7)?
7, 17
Let b(l) = l**3 + 10*l**2 - 6*l + 4. Let c be b(-9). Let i be (-48)/12*c/(-2). Suppose 5*m - 260 = -5*n, 0*m + i = 5*n - m. What are the prime factors of n?
5, 11
List the prime factors of (-2)/25 - (-82789)/175.
11, 43
Let w = -362 + 1062. What are the prime factors of w?
2, 5, 7
Let x = -10 - -11. Let q be 5 - (2 - (x - -1)). Suppose 5*w + 2*n = 277, 5*w - 301 = q*n - n. List the prime factors of w.
3, 19
Let x(r) = 142*r**3 - r**2 + 13*r - 47. What are the prime factors of x(3)?
11, 347
Let w(d) = 10*d + 4*d - 2*d + 14. List the prime factors of w(5).
2, 37
Let m(x) = -184*x - 418. What are the prime factors of m(-10)?
2, 3, 79
List the prime factors of (12/(-18))/((-8052)/(-8055) - 1).
2, 5, 179
Let d(r) = 2*r**2 - 7*r - 4. Let f(x) = -3*x**2 + 12*x + 6. Let a(t) = 5*d(t) + 3*f(t). Suppose 2*p = -0*p + 12. What are the prime factors of a(p)?
2, 5
Suppose 0 = 4*j - 2 - 10. Suppose -j*g = g - 64. List the prime factors of g/(-56) + 326/14.
23
Suppose 2*g = -4*c + 12, 2*c = -c + g + 4. List the prime factors of c + 0 + 17 + 1.
2, 5
Suppose -530 + 61 = -2*c + u, -2 = 2*u. What are the prime factors of c?
2, 3, 13
Suppose 3*f = 135 - 117. List the prime factors of f.
2, 3
Let r(w) = -5*w**2 - 7*w + 6. Let x(p) = -14*p**2 - 20*p + 17. Let t(q) = 17*r(q) - 6*x(q). Let v be t(3). List the prime factors of 128/10 + v/(-30).
13
Suppose 9*t = 8*t + 359. What are the prime factors of t?
359
Let n = 0 - -2. Suppose n = -3*l - 1. List the prime factors of (124/(-20) - l)*-5.
2, 13
Suppose 18 = 2*q - 4*q. Let t be q*(-4)/2 - -3. Suppose 5*l - t - 14 = 0. List the prime factors of l.
7
Let k(b) = 25*b**2 - 27*b + 111. What are the prime factors of k(6)?
3, 283
Let w(m) = m**3 - 1. Let u(p) = -2*p**3 - 11*p**2 + 6*p + 8. Let x = -29 + 28. Let o(n) = x*u(n) - 3*w(n). What are the prime factors of o(10)?
5, 7
Suppose 3*f + 5 = -2*f, -3*a + f + 460 = 0. Let p = a + -57. What are the prime factors of p?
2, 3
Suppose 4*l = -2*r + 1382, -84*r = -82*r - 10. List the prime factors of l.
7
Suppose 2*l - 5*p = 28, -2*l + 0*p - 12 = 5*p. Let c = 0 + 12. What are the prime factors of c/(1 - (-2)/l)?
2
Let n(j) = j**2 + 15*j + 27. Let f be n(-19). Suppose 5*c = f + 267. List the prime factors of c.
2, 37
Let w(q) = 2*q**3 - 8*q**2 - 16*q + 8. Let k be w(7). Let g = k - 128. What are the prime factors of g?
2, 31
Suppose -2*i + 2782 = 2*j, -4*j - 2*i = -j - 4171. What are the prime factors of j?
3, 463
Suppose 1334 = 5*z - 3*z. List the prime factors of z.
23, 29
Suppose -4*q - 704 = -4*a, -4*a - 3*q + 2*q = -729. Let p = a - 119. What are the prime factors of p?
2, 31
Suppose -13490 = 54*i - 63386. List the prime factors of i.
2, 3, 7, 11
Let c = 4 + -20. Let q = 75 + -72. Let a = q - c. What are the prime factors of a?
19
Suppose -6*a + 2669 = 293. Suppose 2*d = 2*q - 282, -5*q + 285 + a = 3*d. What are the prime factors of q?
2, 3, 23
Let n = 1072 + -420. What are the prime factors of n?
2, 163
Suppose 0 = 35*s - 388 - 7837. What are the prime factors of s?
5, 47
Let f(x) = -3*x**2 + 4*x. Let q be f(2). Let l(s) = s - 3. Let t(w) = w - 3. Let d(a) = q*l(a) + 3*t(a). What are the prime factors of d(-5)?
2
Let b(f) be the third derivative of -1/24*f**4 - 1/6*f**3 - 1/120*f**6 - 6*f**2 + 0*f + 0 - 2/15*f**5. List the prime factors of b(-8).
7
Suppose -6*i = -1709 - 175. List the prime factors of i.
2, 157
Let q(m) = -m**2 - 5*m + 23. Let s be q(7). Let p = s - -125. List the prime factors of p.
2
Suppose 13*n - 17*n - 4*p + 2968 = 0, 5*p = 10. List the pri | {
"pile_set_name": "DM Mathematics"
} |
1846, 4, 2, 1, -3
Sort 1, -2, 1/5, 1566.
-2, 1/5, 1, 1566
Put -590, 138, -4, 5 in descending order.
138, 5, -4, -590
Sort -4, 1/2, 141/4, 15, -1, 2 in increasing order.
-4, -1, 1/2, 2, 15, 141/4
Sort 17, 0, 2, 46 in descending order.
46, 17, 2, 0
Put -2, -1, -3, -16, 40, 14 in increasing order.
-16, -3, -2, -1, 14, 40
Put -1/2, -0.1, 1436, 1/3, -0.2 in increasing order.
-1/2, -0.2, -0.1, 1/3, 1436
Sort -4, -166, 4/7, 2.9 in ascending order.
-166, -4, 4/7, 2.9
Sort 4, 5, 2, -1, -36, 37 in decreasing order.
37, 5, 4, 2, -1, -36
Sort 32, 0.4, -3/4, -8.98 in decreasing order.
32, 0.4, -3/4, -8.98
Put -28, 2, 150.86 in decreasing order.
150.86, 2, -28
Put 3, -8, 4, 0.6, 0.1, -171 in descending order.
4, 3, 0.6, 0.1, -8, -171
Sort -1, -8, -5, -6, -23, 4 in ascending order.
-23, -8, -6, -5, -1, 4
Sort 23/5, 0.4, 4/7.
0.4, 4/7, 23/5
Sort 13, -5, 51, 2 in decreasing order.
51, 13, 2, -5
Sort 1, 121, -5, -156, 11.
-156, -5, 1, 11, 121
Put 0, -5, 1, 99, 271 in decreasing order.
271, 99, 1, 0, -5
Put -88, -1, -4, 7 in increasing order.
-88, -4, -1, 7
Put -4, 0.15, 3, 16, 2, 4 in decreasing order.
16, 4, 3, 2, 0.15, -4
Sort 35, -58, 4, 1 in decreasing order.
35, 4, 1, -58
Put -11, 1149.6, -3 in descending order.
1149.6, -3, -11
Put 0.2, 4, -87, 5, 1, -10 in decreasing order.
5, 4, 1, 0.2, -10, -87
Sort -3, -1/12, -2137, -2/15.
-2137, -3, -2/15, -1/12
Sort -3, -1, -102, 129 in descending order.
129, -1, -3, -102
Sort 2148, 2, -7 in increasing order.
-7, 2, 2148
Sort -1, 16, 0, 39, 2/9.
-1, 0, 2/9, 16, 39
Sort -31, 4, 5, -16, -5, 2 in decreasing order.
5, 4, 2, -5, -16, -31
Put -0.3, 13, -0.33, 0.07 in increasing order.
-0.33, -0.3, 0.07, 13
Sort 0.3, -1/3, 3.1, 3.3, -3 in ascending order.
-3, -1/3, 0.3, 3.1, 3.3
Sort -2/47, 5, -0.7, 0.4 in ascending order.
-0.7, -2/47, 0.4, 5
Put -488, -171, -3, 3 in increasing order.
-488, -171, -3, 3
Put 27/7, 0, 30, -0.1, -1/18 in decreasing order.
30, 27/7, 0, -1/18, -0.1
Put -94, -75, 0 in ascending order.
-94, -75, 0
Put -39, 12, -27 in descending order.
12, -27, -39
Put -971, 27, 4 in increasing order.
-971, 4, 27
Sort 0.04, 1, 2/13, -1.08, -3.
-3, -1.08, 0.04, 2/13, 1
Sort -3, 72, -0.4, 18 in descending order.
72, 18, -0.4, -3
Sort 436, -1, -1.2 in decreasing order.
436, -1, -1.2
Sort 1, -5711, -6/25.
-5711, -6/25, 1
Sort -7, -5, 3065 in increasing order.
-7, -5, 3065
Put 4, 5494, 36 in decreasing order.
5494, 36, 4
Put 169, 2, -82, -3 in ascending order.
-82, -3, 2, 169
Sort -3, -100, -75, 0, 5.
-100, -75, -3, 0, 5
Sort 251, 5, -1, -6 in decreasing order.
251, 5, -1, -6
Sort -0.6, 0, -5, 724, -6 in decreasing order.
724, 0, -0.6, -5, -6
Put -17, -4, 1, 0, -1, -21 in increasing order.
-21, -17, -4, -1, 0, 1
Sort 2/31, -2, -10, 0.17, 0.2.
-10, -2, 2/31, 0.17, 0.2
Sort -8, -2, -4, -4286 in increasing order.
-4286, -8, -4, -2
Put -3, -2, 4, -1086, 64 in decreasing order.
64, 4, -2, -3, -1086
Sort -80, -206, -4.
-206, -80, -4
Sort 4, -5, -4/5, -1/5, 1/17, -3 in descending order.
4, 1/17, -1/5, -4/5, -3, -5
Sort 0.2, -236, -0.09 in increasing order.
-236, -0.09, 0.2
Sort -1.2, -33, -0.2, 360.
-33, -1.2, -0.2, 360
Put -20, 0, -5, -1, -2, -45 in decreasing order.
0, -1, -2, -5, -20, -45
Sort -0.1, -22, 2/17, -27/2.
-22, -27/2, -0.1, 2/17
Put -147, 66, 1, 0, -3, -1 in decreasing order.
66, 1, 0, -1, -3, -147
Sort 0.04, -11, -13/85 in decreasing order.
0.04, -13/85, -11
Put -2, 0.3, 1, 4, 3, -5248 in descending order.
4, 3, 1, 0.3, -2, -5248
Sort -1153, 3, -2, -9 in decreasing order.
3, -2, -9, -1153
Sort 4, -0.4, -134, -7 in increasing order.
-134, -7, -0.4, 4
Put 11.3, 4, 48 in descending order.
48, 11.3, 4
Put -0.167, -9, -0.1 in ascending order.
-9, -0.167, -0.1
Sort 3, 0, 361, 36 in ascending order.
0, 3, 36, 361
Put 37, -11, 0, -1 in increasing order.
-11, -1, 0, 37
Sort 0.2438, 115, 5.
0.2438, 5, 115
Put -4, 0.1, 0.9452, 0, -3 in ascending order.
-4, -3, 0, 0.1, 0.9452
Sort -0.1, 6, -38/159 in descending order.
6, -0.1, -38/159
Sort -4, -26.5, 578.
-26.5, -4, 578
Sort -5, -12, 6, 71.
-12, -5, 6, 71
Sort 2, 3, -1281, 5, 23 in descending order.
23, 5, 3, 2, -1281
Sort 2, 0, 19, 9, -3.
-3, 0, 2, 9, 19
Sort 27, 5, 16, 0, -3 in decreasing order.
27, 16, 5, 0, -3
Put -13, 903, 4 in decreasing order.
903, 4, -13
Put 5, 81, 0, -5, 2 in decreasing order.
81, 5, 2, 0, -5
Sort 5, -3, -14, 9, 25 in decreasing order.
25, 9, 5, -3, -14
Sort 1/4, 0.01, -1.1, 67, -1.
-1.1, -1, 0.01, 1/4, 67
Put -750, 80, -4 in decreasing order.
80, -4, -750
Put 2, 5, 336, -3 in descending order.
336, 5, 2, -3
Sort -1, -10, -4, -154, 2 in descending order.
2, -1, -4, -10, -154
Put 1918/5, -1, 5, 28 in decreasing order.
1918/5, 28, 5, -1
Put -25, 6689, 1 in decreasing order.
6689, 1, -25
Put 16, 53, -2, -18, 5 in decreasing order.
53, 16, 5, -2, -18
Put 25, 223, -6 in descending order.
223, 25, -6
Put 1, 0, 5, 9, -3, -33 in ascending order.
-33, -3, 0, 1, 5, 9
Put 931, 7, -21, 0 in decreasing order.
931, 7, 0, -21
Put 6, -6, 15, -38 in descending order.
15, 6, -6, -38
Sort 7047, 5, -1/168 in increasing order.
-1/168, 5, 7047
Put 1, 7, 6, 10 in decreasing order.
10, 7, 6, 1
Put -177, 6, 3, 0, -4 in decreasing order.
6, 3, 0, -4, -177
Sort 17, 159, 1, -41 in descending order.
159, 17, 1, -41
Sort -7, -1/7, 2.207.
-7, -1/7, 2.207
Sort 17, 5, -11.
-11, 5, 17
Sort -19, -124, 3, 8, 0.
-124, -19, 0, 3, 8
Sort 3/8, -7, -8.5, -1, -2/19 in descending order.
3/8, -2/19, -1, -7, -8.5
Sort 0.4, 17, 0.151, -3, -1/4.
-3, -1/4, 0.151, 0.4, 17
Put 22, -4, 5, -1, 3, 45 in increasing order.
-4, -1, 3, 5, 22, 45
Put 0.2, 21/2, 127 in increasing order.
0.2, 21/2, 127
Sort -3, 2, -504, 3, 5 in descending order.
5, 3, 2, -3, -504
Put -3, 1.7, -7/3, 1/6 in descending order.
1.7, 1/6, -7/3, -3
Put 2, -3, 29, 1, -5, -327 in descending order.
29, 2, 1, -3, -5, -327
Sort 0, -195, 201 in increasing order.
-195, 0, 201
Put 0.39, 0.4, -1378, 3 in decreasing order.
3, 0.4, 0.39, -1378
Put 4, -2, 130, 8 in descending order.
130, 8, 4, -2
Put 3, -1, 79, -2, -4, 5 in decreasing order.
79, 5, 3, -1, -2, -4
Sort -11, 1, -3878.
-3878, -11, 1
Sort -2, 5, 3, 1, 57, 2 in ascending order.
-2, 1, 2, 3, 5, 57
Sort -91, 4, -16, 9, -1, -2/11 in decreasing order.
9, 4, -2/11, -1, -16, -91
Put 3, 2, 91, 16, -2 in ascending order.
-2, 2, 3, 16, 91
Sort 4, -13578, 35 in descending order.
35, 4, -13578
Sort -3, -2, -41, 18, 2, -1 in increasing order.
-41, -3, -2, -1, 2, 18
Put -2, -1, -306, -8, 0 in decreasing order.
0, -1, -2, -8, -306
Sort 2, -3, -4, 0, 43 in ascending order.
-4, -3, 0, 2, 43
Put 206, -877, -5 in descending order.
206, -5, -877
Sort -183, 0, -2, -1, 4 in descending order.
4, 0, -1, -2, -183
Put -1, -4, -9, 171, 1, 3 in descending order.
171, 3, 1, -1, -4, -9
Put 3, -0.486, 0.5, 2/5, -0.3, 9/2 in descending order.
9/2, 3, 0.5, 2/5, -0.3, -0.486
Sort -614, 3, -0.9, 2.
-614, -0.9, 2, 3
Put 2/5, 66, -90, -14 in decreasing order.
66, 2/5, -14, -90
Put 0.4, -5, 153918 in descending order.
153918, 0.4, -5
Sort 178/3, 1/5, 7, 1, 0, 13 in ascending order.
0, 1/5, 1, 7, 13, 178/3
Sort 22, -0.2, 2/635 in ascending order.
-0.2, 2/635, 22
Sort -2, -28, -275, 3.
-275, -28, -2, 3
Put 10/21, -986, 1/5 in increasing order.
-986, 1/5, 10/21
Put 2/19, 5, -47, -1, 2/11 in ascending order.
-47, -1, 2/19, 2/11, 5
Sort 4, 0, 217, -16 in decreasing order.
217, 4, 0, -16
Put 5, 0, 200, -5, -4 in descending order.
200, 5, 0, -4, -5
Put 302, -5.02, 0.3 in increasing order.
-5.02, 0.3, 302
Put -9, 1, 49 in descending order.
49, 1, -9
Put 545, -170, -17 in decreasing order.
545, -17, -170
Sort -1/7, -5, 328, -1/4, -1.
-5, -1, -1/4, -1/7, 328
Put 3, -240, -2, -3, -72, -5 in ascending order.
-240, -72, -5, -3, -2, 3
Put 3, -1.816, -2/29, 2/3, 2 in decreasing order.
3, 2, 2/3, -2/29, -1.816
Sort -1, -4/7, -100, -5, 689/4 in descending order.
689/4, -4/7, -1, -5, -100
Sort 1, 518, 4, 1/18, 3/5 in ascending order.
1/18, 3/5, 1, 4, 518
Put 3, -3, 5, -162, -4 in descending order.
5, 3, -3, -4, -162
Sort 4, 5, -437628.
-437628, 4, 5
Sort -668, -3, -23 in descending order.
-3, -23, -668
Put 3, 7, 0, 4, -7, 2 in decreasing order.
7, 4, 3, 2, 0, -7
Put 4, -1/1027, -0.1, -2, -5, -2/7 in descending order.
4, -1/1027, -0.1, -2/7, -2, -5
Put 8, -5, 1, 7, -285 in descending order.
8, 7, 1, -5, -285
Put 1, -1684, 7, 4, 2, - | {
"pile_set_name": "DM Mathematics"
} |
nd p to two decimal places.
-0.06
Let y = 4.5 - 4.6. Let u = y - -0.100052. Round u to five decimal places.
0.00005
Let x be 721 + -7 + 4 + 0. Suppose 532 = -3*m - 4*f, 0 = 4*m + 5*f - 4*f + x. Round m to the nearest 100.
-200
Let d be (-11)/4 - (-1)/(-4). Let t be d + 1 + 2 + 16070. Suppose -2*l - t + 118070 = 0. Round l to the nearest 10000.
50000
Let s = -3.145 + 0.045. Let w = 0.044812077 - 3.144815177. Let n = w - s. Round n to 6 dps.
-0.000003
Let f = 5.058 - 6.9. What is f rounded to 1 decimal place?
-1.8
Let b = 0.04739532 + -30.24488532. Let y = b - -0.02749. Let k = 30 + y. Round k to 1 decimal place.
-0.2
Let a = -0.06 - -1.16. Let b = a - 0.4. Let w = -0.69922 + b. What is w rounded to 4 dps?
0.0008
Let z = 57 - 54.97. Round z to 0 decimal places.
2
Let z = 73 + -73.25. Let y = -1.76 - z. Round y to 1 decimal place.
-1.5
Let f = 222 + -320. Let n = f - -98.0205. Round n to 3 dps.
0.021
Let x = 1174.999998224 - 1175. Round x to seven decimal places.
-0.0000018
Let f = -1.09 - -0.19. Let h = 0.89999977 + f. What is h rounded to 7 dps?
-0.0000002
Suppose -3*d - 43126 = 2*v, -5*d - 2*v - 35396 = 36482. Let g = d + 42776. Round g to the nearest one thousand.
28000
Let g = -12.1 - -27.1. Let s = -15.00000144 + g. What is s rounded to 6 decimal places?
-0.000001
Let j(r) = 2345008*r - 16. Let q be j(2). Round q to the nearest one million.
5000000
Let x = -3880.6881 - -3881. What is x rounded to 1 decimal place?
0.3
Suppose 0 = -2*i + 6*i. Suppose 130 = -i*q - 5*q. Let c = -45 - q. What is c rounded to the nearest 10?
-20
Suppose 2*y - 8*y + 335279916 = 0. Suppose o - 5*b = y, 2*o - o - 55879994 = b. Let j be 4/22 - o/(-22). What is j rounded to the nearest one hundred thousand?
2500000
Let i = -175 + 175.121. Let m = 14.479 + i. What is m rounded to zero decimal places?
15
Let l(o) = 235*o**2 + 6*o + 15. Let d be l(8). Let t be (-19)/(-19) - (d - (1 - -1)). What is t rounded to the nearest one thousand?
-15000
Let u = 122.862 + -123. Let n = u + 0.012. What is n rounded to 2 decimal places?
-0.13
Let d = -998 - -989.4. What is d rounded to the nearest one hundred?
0
Let t = 1660434 - 935434. What is t rounded to the nearest one hundred thousand?
700000
Suppose -7*t = -10191091 + 1672091. What is t rounded to the nearest one hundred thousand?
1200000
Let a = 16.73 + -16.727552. Round a to four decimal places.
0.0024
Let r = -79.0171 - -79. Round r to 3 dps.
-0.017
Let r = -7.4 + 16.5. Let z = r - 10.01. What is z rounded to 1 dp?
-0.9
Let h(x) = x - 10. Let q be h(12). Suppose 6 = -f + 4*g - 16, q*f + 2*g = 6. Let p be 0/(f*(-2)/2). Round p to the nearest one hundred thousand.
0
Let p(c) be the second derivative of 4201*c**4/6 + 5*c**3/3 + c. Let r be p(-5). What is r rounded to the nearest 100000?
200000
Let k = 90.85873 + -55127.92473. Let w = -54999.065977 - k. Let u = -38 + w. What is u rounded to five decimal places?
0.00002
Let g = -15858 + 4906. Let u = -6552 - g. Round u to the nearest 1000.
4000
Let f = -6410471 - -6410532.20379. Let i = f + -61.2. What is i rounded to four dps?
0.0038
Let k(z) = 688*z**2 - 23*z + 27. Suppose 0*c = 2*c - 26. Let x be k(c). What is x rounded to the nearest 10000?
120000
Let i = 73 + 25. Let q = 97.99957 - i. Round q to 4 dps.
-0.0004
Let y = 192.998328 + -193. What is y rounded to 4 decimal places?
-0.0017
Let s = -0.1347 - -3.9647. What is s rounded to the nearest integer?
4
Let a = 93 - -78. Let s = -169.238483344 + -1.761497556. Let t = a + s. Round t to six decimal places.
0.000019
Let x = 0.67 + -0.7. Let i = x - -0.38. Let r = i + -0.255. Round r to 2 dps.
0.1
Let t = 422 - 380. Let h = -86999555 + 86999596.9999932. Let s = t - h. Round s to six decimal places.
0.000007
Let x(w) = -w**2 - 8*w + 4. Let t be x(-8). Suppose t*r = -2*r + 16200. Round r to the nearest one thousand.
3000
Let s = 0.09409 + -0.0883. What is s rounded to 4 decimal places?
0.0058
Let u be ((-209475)/(-2))/7*(-1040)/(-39). What is u rounded to the nearest 10000?
400000
Let x = 54 + -53.999999755. Round x to seven decimal places.
0.0000002
Let w(b) = -34445*b**2 - b + 14. Suppose 32 = -m - 4*m + 2*s, -5*m - 34 = -4*s. Let z be w(m). Round z to the nearest one hundred thousand.
-1200000
Let f = -11066.834 + 11155. Let j = -88 + f. Let d = j + -0.1660071. Round d to 6 dps.
-0.000007
Let x = -0.31 + 0.62. Let c = -0.28 + x. Let d = c - 0.02999996. What is d rounded to 7 decimal places?
0
Let d = -7192 - -7248.59. Round d to the nearest integer.
57
Let v(q) = -6*q**3 + q - 3. Let i be v(-2). Suppose -47*z + i*z + 45600000 = 0. Round z to the nearest 1000000.
11000000
Let z be 195/52 + -1 + (-10)/(-8). Let g be (1 + -150001)/(z + (-1797)/450). What is g rounded to the nearest 1000000?
-23000000
Let n be (-79 + 0)*(4 - (6 + -3)). Round n to the nearest 10.
-80
Let y = 10269 - 10268.3843. Round y to 2 dps.
0.62
Let j = 164.6 + -177.82. What is j rounded to 1 dp?
-13.2
Let k = -59797615 + 114538617. Suppose 2*a + 5*i - 21999980 = 0, -258990 - k = -5*a - 2*i. Round a to the nearest one million.
11000000
Let p = 0.22799835 + -0.228. Round p to 6 decimal places.
-0.000002
Let b(q) = -2479*q**3 + 8*q**2 + 10*q + 10. Let x be b(-9). Let s = x + -377759. Round s to the nearest 100000.
1400000
Let d = -893625246 - -893625100.0690631. Let o = -0.0623631 + d. Let n = o - -146. What is n rounded to three dps?
0.007
Let m = -123 + 140. Let d = 0.077 - -20.523. Let b = m - d. Round b to the nearest integer.
-4
Suppose -4*w - 3*a = -24, 5*w - 4*a - 30 = a. Let v(m) = 262*m**2 - 6*m + 4. Let u be v(w). What is u rounded to the nearest 1000?
9000
Let i = 4049.53 - 4080. Round i to the nearest ten.
-30
Let z = 5.99 + 0.01. Let d = z + -5.92. Let a = d + 0.19. What is a rounded to 1 dp?
0.3
Let j = -11 + 19. Let o = j + 11. Let b = 39.8 - o. What is b rounded to the nearest integer?
21
Let m = -210 + 209.937. Let w = 0.9 - 1. Let s = w - m. Round s to 2 dps.
-0.04
Let z = -160.6 + 26.6. Let c = z + 135.22. Let k = -1.22000061 + c. Round k to seven decimal places.
-0.0000006
Let y = -41 - -76. Let n = -33.78 + y. What is n rounded to 1 decimal place?
1.2
Let u = 25.19304 - 25.2. Round u to 3 decimal places.
-0.007
Let f = -62.56 - -0.56. Let q = 4793.7 + -4855.614. Let r = q - f. What is r rounded to 2 decimal places?
0.09
Let v = -11.925 + 6. Let i = v + 6. What is i rounded to two decimal places?
0.08
Let p = -0.9 + 5.95. Let n = p + -8.7. Round n to the nearest integer.
-4
Let d = 0.0101 + 0.0237. What is d rounded to 2 dps?
0.03
Let n = 1581 - 1063. Let q = 517.99999693 - n. Round q to six decimal places.
-0.000003
Let n = -3852442 + 3852441.1440948. Let z = n - -0.93591. Let k = z - 0.08. Round k to 6 decimal places.
0.000005
Let k = -0.695 + 0.005. Let h = 0.51 - k. What is h rounded to the nearest integer?
1
Let f = -7 - -6.8. Let m = 0.32 + f. Let p = 0.11989 - m. Round p to 4 dps.
-0.0001
Let p = 0.1599996 + -0.16. Let n = 0 - p. What is n rounded to 7 dps?
0.0000004
Suppose -6*f = -8*f + 530. Let h = 485 - f. What is h rounded to the nearest one hundred?
200
Let r be (-2)/(-7) + (-99315)/315. What is r rounded to the nearest one hundred?
-300
Let t = -15 + 25. Let w = -10.41 + 0.66. Let r = w + t. What is r rounded to one decimal place?
0.3
Let g = 39.93 - -0.07. Let f = g - 39.894. Round f to 2 dps.
0.11
Let g = -12715908 + 3845908. What is g rounded to the nearest one million?
-9000000
Let i = -12.45 + 1169.45. Let g = 1156.8763 - i. What is g rounded to two dps?
-0.12
Let c(r) = -955557*r**2 - 7*r - 8. Let v(b) = 2*b**2 + 4*b + 6. Let n be v(-4). Let o = 19 - n. Let h be c(o). Round h to the nearest 1000000.
-9000000
Let d be ((-270)/162)/(1/54). What is d rounded to the nearest 100?
-100
Let s be 602496 + 2 - (-1 + 14 - 15). Round s to the nearest 10000.
600000
Let i = 479.0000276 - 479. Round i to six decimal places.
0.000028
Let t = 61.24 - 63. Let d = 1485.398 - 1487. Let h = t - d. Round h to 2 dps.
-0.16
Suppose -289070 = -w - w. Let i be w/10*(-2)/(-1). Let l = i + -20107. What is l rounded to the nearest 1000?
9000
Let f(p) = 7099*p**2 - 9 + p + 12 - 1 - 2*p. Let c be f(1). What is c rounded to the nearest 1000?
7000
Let q = -0.85729 + -0.18203. Let v = -15.962 + q. Let b = v - -17. Round b to four dps.
-0.0013
Let b = 0 | {
"pile_set_name": "DM Mathematics"
} |
)*(-15)/2.
5
What is (-2)/(-9) + (-1484)/954?
-4/3
Calculate -2 + (-22)/(-12) + 150/36.
4
-1 + 9 + -6 + (-72)/34
-2/17
What is (-3703)/5796 - 1/((-8)/6)?
1/9
Calculate ((-1)/6)/(11/(-66)).
1
(-4)/(-9) + 2436/(-378)
-6
Calculate (480/27)/8 - 2.
2/9
4 + (-25)/10 - 57/6
-8
Calculate 13/3 - (-20)/(-15).
3
Evaluate (2/(-3))/((-18)/27).
1
What is (-154)/110 - (-3 + (-39)/(-15))?
-1
Calculate (9546/36)/37 + -7.
1/6
Calculate (9/2)/(15/(-20)).
-6
What is the value of (16/(-6))/(84/126)?
-4
Calculate (5 + -6)*(-11 + 10).
1
13 + -9 + -6 - 3/(-2)
-1/2
((-2)/(-7) + 0)*(-21)/9
-2/3
What is 12/(-32)*2*-2?
3/2
What is the value of (10/(-4))/(3/(-6))*1?
5
What is (2/24)/((-64)/12 - -5)?
-1/4
What is (3/(-6)*1*0)/1?
0
Evaluate (1 + (-4)/5)*(41 + -6).
7
What is (-2)/(((-42)/(-15))/7)?
-5
Calculate (-1)/(3/21 + (-32)/28).
1
Evaluate 10 + 13 + 104/(-8).
10
Calculate (-3424)/(-535) - (-4)/(-10).
6
Evaluate -5*(-12)/(-33) - 1*-2.
2/11
What is the value of (135/6)/(-9)*(-36)/150?
3/5
((-9)/(-6))/(3/(-6))
-3
Evaluate 6/4*(6/18 + -2).
-5/2
4/74 + (-15620)/(-2627)
6
Calculate ((-225)/(-6))/5*1/(-5).
-3/2
Calculate (3/6)/(2*3/(-36)).
-3
What is the value of ((-20)/6)/((-1)/(15/(-10)))?
-5
Calculate (107 - 106) + (-3)/2.
-1/2
What is the value of (1 + 36/(-28))/(4/84)?
-6
What is the value of 7/(-2) + ((-12)/6 - -6)?
1/2
Evaluate (-5*(-2)/4)/(71 + -73).
-5/4
Calculate 2/(-7) + (-6)/(504/(-52)).
1/3
What is ((-8)/(-10))/(81/(-135))?
-4/3
What is ((-2)/(-2))/((-285)/35 - -8)?
-7
Calculate 3/12 + (-9)/(-12).
1
Calculate (3/(-12))/(1/5).
-5/4
What is (6/16)/(3/24)?
3
Calculate 150/1650*(-1 - (-3 - -1)).
1/11
Calculate 57/(-144) - (-13)/39.
-1/16
What is (-20)/64*2/5?
-1/8
(3*4/(-14))/((-63)/98)
4/3
1/(-5 - (2 - 6))
-1
Calculate (3 - 14/6)*(-6)/20.
-1/5
Evaluate (-104)/(-48) + 10/(-15).
3/2
Evaluate (23/161)/(3/7).
1/3
Calculate 2/4 - (17 - 15).
-3/2
26/8 - (-225)/(-900)
3
(2/(-4))/(5 - 9/2)
-1
What is 14/16*(-4)/(-14)?
1/4
Calculate 8/(-2 - 2) + -3.
-5
Evaluate 1 - 7 - -4 - 1.
-3
Evaluate 1/(-4)*(40/(-6) + 4).
2/3
Evaluate (-3)/5*(-11)/(-33).
-1/5
(3/9)/((4/15)/4)
5
((-30)/2 - 3)/(-3)
6
What is the value of (33 + -29)*1/(-2)?
-2
Evaluate 13 + -13 - ((-3)/(-2) + -1).
-1/2
What is the value of (-6 - (2 - 5))*1?
-3
4/(-3)*42/140
-2/5
Calculate 96/252*3/4.
2/7
What is -2 + (-22)/(-14) - 65/(-70)?
1/2
Evaluate -1 + (-22)/(-6) + (-2)/(-6).
3
Calculate (-10)/(-10 + 11) - -12.
2
What is the value of (12 - 14)/((-2)/(-3))?
-3
Evaluate 1 + (-16)/12*(-9)/(-6).
-1
Calculate 3/(-6) + (-10)/(-4).
2
What is the value of 15/5 + (-6 - -2) - -1?
0
Calculate ((-236)/(-308) - 1) + (-1)/(-11).
-1/7
Calculate ((-6)/(-9))/((-238)/51).
-1/7
What is -2*((-45)/10 - -4) + -5?
-4
(16 - 31 - -16)/(2/16)
8
What is 2/(-2) + 0*(-9)/18?
-1
Calculate (0 - (-9)/12)/((-15)/8).
-2/5
1/(-5)*(7 + (-198)/24)
1/4
What is the value of 27/45*(4 - -1)?
3
Calculate 2*(4 + -2) + (2 - 1).
5
(-210)/(-126) - 4*3/18
1
Calculate 8/2 + (-10)/3.
2/3
5*20/(-25) - 3
-7
What is the value of (1 - 0)*0/((-24)/3)?
0
Calculate 6 - (-8 - 85/(-6)).
-1/6
Evaluate 40/16*(-4)/(-5).
2
Calculate 4 + -1 + 0 + -4.
-1
What is (2715/390 + -7)/((-3)/(-6))?
-1/13
Evaluate (-7 + 54/12)/5.
-1/2
Evaluate (-1)/(-11) - 35/22.
-3/2
What is the value of (-122)/18 + (-46 - -53)?
2/9
What is (-70)/21 + 12/9?
-2
Calculate (205/(-25) - -4) + 1/5.
-4
What is -4 - -6 - (-11 + 20)?
-7
Evaluate ((-2079)/(-105) - 20) + 2/5.
1/5
What is the value of (-2)/(-4) - (-10)/4?
3
What is the value of 1 + (-25)/40 + (-51)/264?
2/11
What is (3/12*-2)/((-13)/(-26))?
-1
What is the value of (0 + (-8)/3)*(-744)/(-496)?
-4
Evaluate (-9)/((-972)/840) + -8.
-2/9
-3*((-4)/(-24))/(2/(-4))
1
What is (-1 - 4) + 10 - 63/15?
4/5
Calculate (-25)/(-10) - (2 + (-3)/2).
2
Evaluate (3/6)/(((-405)/12)/(-9)).
2/15
Calculate 160/25 - (14 - 8).
2/5
((-28)/21)/((-40)/12 + 2)
1
Evaluate ((-33)/42 + 12/42)*2.
-1
Evaluate (-3 - 21/(-2))*3/(-30).
-3/4
Calculate -1 + 1 + -4*18/63.
-8/7
What is ((-11 - 2) + 15)/((-3)/1)?
-2/3
What is 3/(3*11/(-110))?
-10
(-3)/(12/2) + 35/(-14)
-3
Evaluate 93/1364*(-6 + 2).
-3/11
5/3*(-21 + 18)
-5
Calculate 48/(-35) + 1 + 2/(-10).
-4/7
What is the value of ((-8)/20)/(6/(-60))?
4
(-18)/21*3 - -3
3/7
What is the value of 1/7 + (-1378)/(-742)?
2
What is (2 - 11)/(-3) + 110/(-50)?
4/5
Calculate (52/(-36) + 1)*(-5)/10.
2/9
Evaluate (-2)/(-1) - ((-28)/24 - -3).
1/6
What is (-28)/6 - (-104)/26?
-2/3
-1*(2/(-12))/(1/2)
1/3
Calculate 20/(-110) + 8/44.
0
Calculate -6*7/280*24 + 4.
2/5
What is 5 - 2 - (0 - 2)?
5
What is (152/20 - 6)/((-6)/15)?
-4
Evaluate (4/160*-4)/(2/(-24)).
6/5
What is the value of (-124)/93*3/2 + -4?
-6
-1*((-24)/(-18) + (-1)/3)
-1
Evaluate (-20792)/(-6328) - (18/14 - 1).
3
(0/1 - -1)*-4
-4
What is 10914/(-1498) - (-7 + 1 + -1)?
-2/7
What is -1*28/32*(3 + -11)?
7
Calculate 50/16*96/80 - 4.
-1/4
What is the value of (-2 - -2)/(20/(-4) - -3)?
0
Calculate 7/(98/21)*2/3.
1
Evaluate ((-24)/(-6))/(6/9*-21).
-2/7
What is the value of (-40)/50 - (1 + (-1 - 1))?
1/5
Evaluate (-595)/(-714)*(2 + (-38)/20).
1/12
Evaluate 1/((-49)/35)*(-14)/2.
5
Calculate (400/125)/(10/(-25)).
-8
5/30 + 3*(-141)/(-54)
8
What is 0 - 18/(-33) - 122/22?
-5
Evaluate (6/(-45))/(49/35).
-2/21
Evaluate -1 + -1 - (-7 - -8)*-4.
2
What is ((-36)/9 + 2)/((-32)/12)?
3/4
What is (-6)/210 + (-36)/(-10) + -3?
4/7
What is -6 - 10/(6 - 7)?
4
What is (1 + -4)*-6*(-6)/216?
-1/2
What is the value of (-26)/(-20) + (156/(-20) - -8)?
3/2
What is the value of -3 - (1/(-3))/((-19)/(-177))?
2/19
-8*(-1)/40*1
1/5
Evaluate 4/2*2/(-1).
-4
Evaluate (-52)/(-12) - 4 - 12/63.
1/7
Calculate (8/7)/((-230)/(-161)).
4/5
Calculate ((-2)/3)/(3 - 145/15).
1/10
What is -5 + 4 + 2 + -2?
-1
Calculate (-13)/36 + 3/12.
-1/9
(17/(-85))/(4/(-10))
1/2
What is ((-20)/(-50))/(1/(-10))?
-4
(-32)/55 + (-24)/(-132)
-2/5
(4/(-20) + (-24)/(-20))*2
2
Evaluate (0 + (-2 - -1))*(-68)/(-136).
-1/2
Calculate (2/2)/15 + (-4)/10.
-1/3
What is the value of (13/(-65))/((-264)/80)?
2/33
1 + 2/12 + (-111)/18
-5
Calculate (0 - 3)*2*30/36.
-5
(((-3)/(-4))/(-3))/((-9)/(-60))
-5/3
(-42)/7 + 24/4
0
(-9)/(-6)*(-40)/75
-4/5
(2 - 11/4)/((-189)/(-210))
-5/6
What is the value of 5/2*(-2)/((-600)/36)?
3/10
What is the value of ((-399)/56 - -7) + 10/(-48)?
-1/3
(-19)/(-4) + (-68)/(-272)
5
What is the value of -4 - -6 - 3/((-132)/(-80))?
2/11
Evaluate 1340/(-150) + 1 + 8.
1/15
Calculate 18/32*92/69.
3/4
What is (-11 + 306/28)*6?
-3/7
What is the value of 2/(6/(-9) + 0)?
-3
What is (-3)/(-15)*(-45)/(-33)?
3/11
((0/(-1))/(27 - 30))/(-2)
0
Calculate 14*(-4)/(-171) - 4/18.
2/19
(1767/(-483) - -4) + 30/(-70)
-2/23
What is the value of (10 + -11)/((-7)/4 - 0)?
4/7
Evaluate (-2)/(-8)*(120/44 - 2).
2/11
What is (99/(-121) - -1) + 26/(-22)?
-1
Calculate 9/(-3) - 77/(-33).
-2/3
87/84 + 6/(-8)
2/7
Evaluate (-3)/2*35/21 - 0.
-5/2
19/(-40) - (-174)/290
1/8
What is -1*9/(-252)*-14?
-1/2
Evaluate ((-5 + 10 - 5)/(-3))/8.
0
Evaluate (-52)/133 + (388/76 - 5).
-2/7
Calculate 14/(-10) + 1 - (-299)/1035.
-1/9
What is the value of 1965/(-393) - (-5 + 0/1)?
0
Evaluate 1 - (-4 + 2) - 5.
-2
What is the value of ((-8)/6)/(-3 + (-15)/9)?
2/7
Calculate (-1)/((-4)/4) - (-16)/(-12).
-1/3
171/1292 + 2/(-8)
-2/17
What is the value of (16/4 + -2)*1?
2
Calculate 0 - (3/(-2))/(36/48).
2
((-6)/180)/(0 - (-4)/(-16))
2/15
Calculate 6/36*(5 - -3 - 5).
1/2
What is the value of (5*1/3)/((-135)/(-486))?
6
-3*(-8)/6 - (-13 - -15)
2
What is the value of (30/(-45))/(30/18)?
-2/5
-4 - -5 - (-11)/(-13)
2/13
What is the value of (-40)/8 + 6/1?
1
Calculate (-18)/12 - ((-44)/8 + 2).
2
-5 - (5 - 3)*-6
7
Evaluate 26/(-104)*-4*1.
1
(6/15 - 6/15) + -3
-3
What is (-3 + 3)*-1 + 1?
1
((-125)/(-15))/(-5) + 2
1/3
(0/((-5)/(-5)))/(-1)
0
Calculate (-7)/21 - (3 + -2)*-2.
5/3
Calculate 10/18*12/(-30).
-2/9
Calculate ((-92)/(-322))/(3/42).
4
What is the value of (4/30)/(5/(-15))?
-2/5
11/(-2) - (8 + 90/(-12))
-6
What is (6/4)/((-21)/28)?
-2
What is ((-18)/24)/((-9)/6)?
1/2
Calculate (6/(-10))/((-477)/530).
2/3
Evaluate 15*6*4/(-36).
-10
Evaluate -5 - -7 - -1*12/(-9).
2/3
What is the value of 8/6*9/6?
2
What is 11/(-5) + (-4)/(-2)?
-1/5
Evaluate (-320)/40 - (-11 + 2).
1
What is 22/(-121) + ((-64)/(-66))/(-2)?
-2/3
(-208)/(-42)*(-30)/(-40) - 4
-2/7
Evaluate (63/252)/(10/(-24)).
-3/5
What is 1/(-2)*(-82)/(-205)?
-1/5
9/(81/6)* | {
"pile_set_name": "DM Mathematics"
} |
at is the remainder when 8452 is divided by 302?
298
What is the remainder when 2555 is divided by 431?
400
What is the remainder when 7346 is divided by 1466?
16
Calculate the remainder when 9593 is divided by 2369.
117
What is the remainder when 268889 is divided by 52?
49
Calculate the remainder when 25776 is divided by 27.
18
Calculate the remainder when 432262 is divided by 1736.
1734
What is the remainder when 1149 is divided by 408?
333
Calculate the remainder when 39288 is divided by 39.
15
Calculate the remainder when 1433 is divided by 568.
297
Calculate the remainder when 18599 is divided by 386.
71
What is the remainder when 94177 is divided by 9416?
17
Calculate the remainder when 12148 is divided by 117.
97
What is the remainder when 103519 is divided by 191?
188
Calculate the remainder when 184476 is divided by 1048.
28
Calculate the remainder when 2635 is divided by 423.
97
Calculate the remainder when 27060 is divided by 78.
72
Calculate the remainder when 6160 is divided by 268.
264
What is the remainder when 2903 is divided by 245?
208
What is the remainder when 55628 is divided by 56?
20
Calculate the remainder when 1110 is divided by 54.
30
What is the remainder when 6911607 is divided by 22?
21
Calculate the remainder when 15273 is divided by 15113.
160
What is the remainder when 52612 is divided by 26302?
8
What is the remainder when 4179947 is divided by 393?
392
Calculate the remainder when 10284 is divided by 10266.
18
What is the remainder when 220700 is divided by 287?
284
Calculate the remainder when 1954 is divided by 387.
19
What is the remainder when 144026 is divided by 48003?
17
What is the remainder when 9333 is divided by 3014?
291
Calculate the remainder when 2373 is divided by 431.
218
Calculate the remainder when 15993 is divided by 29.
14
What is the remainder when 15725 is divided by 86?
73
Calculate the remainder when 409771 is divided by 13.
11
Calculate the remainder when 2039 is divided by 82.
71
Calculate the remainder when 417 is divided by 303.
114
Calculate the remainder when 384393 is divided by 16712.
17
What is the remainder when 4335 is divided by 2158?
19
What is the remainder when 9426 is divided by 387?
138
What is the remainder when 2798 is divided by 578?
486
What is the remainder when 1006885 is divided by 344?
341
Calculate the remainder when 346 is divided by 65.
21
Calculate the remainder when 258137 is divided by 64532.
9
Calculate the remainder when 236815 is divided by 33829.
12
Calculate the remainder when 4022 is divided by 431.
143
What is the remainder when 51844 is divided by 29?
21
Calculate the remainder when 977952 is divided by 40.
32
What is the remainder when 759465 is divided by 379728?
9
What is the remainder when 224211 is divided by 18683?
15
What is the remainder when 265380 is divided by 43?
27
What is the remainder when 58054 is divided by 123?
121
Calculate the remainder when 9197 is divided by 9081.
116
What is the remainder when 14472 is divided by 48?
24
Calculate the remainder when 206061 is divided by 103026.
9
What is the remainder when 3884 is divided by 502?
370
What is the remainder when 461 is divided by 43?
31
What is the remainder when 312609 is divided by 12?
9
What is the remainder when 8339 is divided by 949?
747
What is the remainder when 3534 is divided by 116?
54
What is the remainder when 24940 is divided by 6?
4
Calculate the remainder when 6653 is divided by 3314.
25
What is the remainder when 3684 is divided by 114?
36
What is the remainder when 85762 is divided by 15?
7
What is the remainder when 19659 is divided by 6534?
57
Calculate the remainder when 15900 is divided by 19.
16
Calculate the remainder when 76 is divided by 37.
2
Calculate the remainder when 1030 is divided by 47.
43
Calculate the remainder when 4568 is divided by 978.
656
What is the remainder when 260317 is divided by 89?
81
What is the remainder when 13690 is divided by 255?
175
Calculate the remainder when 105717 is divided by 40.
37
Calculate the remainder when 19635 is divided by 853.
16
What is the remainder when 933 is divided by 379?
175
What is the remainder when 24829 is divided by 6204?
13
Calculate the remainder when 2116 is divided by 212.
208
Calculate the remainder when 763739 is divided by 82.
73
What is the remainder when 1055 is divided by 578?
477
Calculate the remainder when 7217 is divided by 21.
14
What is the remainder when 67136 is divided by 395?
381
Calculate the remainder when 38490 is divided by 21.
18
Calculate the remainder when 990673 is divided by 51.
49
Calculate the remainder when 8034 is divided by 1305.
204
What is the remainder when 97675 is divided by 7?
4
What is the remainder when 1774 is divided by 541?
151
Calculate the remainder when 3389 is divided by 497.
407
Calculate the remainder when 116739 is divided by 533.
12
Calculate the remainder when 7251143 is divided by 1724.
1723
What is the remainder when 3833 is divided by 1089?
566
Calculate the remainder when 3699 is divided by 162.
135
Calculate the remainder when 34908 is divided by 146.
14
Calculate the remainder when 24362 is divided by 9.
8
Calculate the remainder when 146 is divided by 55.
36
Calculate the remainder when 79588 is divided by 11365.
33
Calculate the remainder when 44022 is divided by 19.
18
What is the remainder when 589719 is divided by 21?
18
Calculate the remainder when 27516 is divided by 5500.
16
What is the remainder when 83338 is divided by 30?
28
What is the remainder when 255307 is divided by 121?
118
What is the remainder when 7235 is divided by 2372?
119
What is the remainder when 3195 is divided by 400?
395
What is the remainder when 44006 is divided by 815?
811
Calculate the remainder when 27828 is divided by 172.
136
Calculate the remainder when 40118 is divided by 236.
234
What is the remainder when 102340 is divided by 35?
0
What is the remainder when 12732 is divided by 2098?
144
What is the remainder when 3440 is divided by 1125?
65
What is the remainder when 33938 is divided by 11190?
368
What is the remainder when 1511 is divided by 193?
160
Calculate the remainder when 109196 is divided by 1255.
11
What is the remainder when 15411 is divided by 7625?
161
What is the remainder when 8560 is divided by 1570?
710
Calculate the remainder when 89 is divided by 78.
11
What is the remainder when 4397 is divided by 33?
8
Calculate the remainder when 729076 is divided by 72.
4
Calculate the remainder when 1623306 is divided by 130.
126
What is the remainder when 63333 is divided by 31620?
93
Calculate the remainder when 2763 is divided by 2752.
11
Calculate the remainder when 133207 is divided by 865.
862
Calculate the remainder when 33761 is divided by 36.
29
Calculate the remainder when 64225 is divided by 2304.
2017
What is the remainder when 512394 is divided by 15?
9
What is the remainder when 16090 is divided by 1228?
126
Calculate the remainder when 70716 is divided by 777.
9
What is the remainder when 9868 is divided by 267?
256
What is the remainder when 773166 is divided by 1012?
1010
What is the remainder when 1624 is divided by 8?
0
What is the remainder when 3028 is divided by 598?
38
Calculate the remainder when 43629 is divided by 17.
7
Calculate the remainder when 7599 is divided by 1371.
744
Calculate the remainder when 1099 is divided by 59.
37
Calculate the remainder when 18473 is divided by 596.
593
Calculate the remainder when 336919 is divided by 112294.
37
What is the remainder when 1949 is divided by 197?
176
What is the remainder when 2095 is divided by 163?
139
Calculate the remainder when 39869 is divided by 3.
2
Calculate the remainder when 2062 is divided by 224.
46
What is the remainder when 30452 is divided by 108?
104
What is the remainder when 28523 is divided by 2590?
33
What is the remainder when 53253 is divided by 17749?
6
Calculate the remainder when 75957 is divided by 75949.
8
Calculate the remainder when 8505 is divided by 109.
3
What is the remainder when 572 is divided by 11?
0
Calculate the remainder when 2568 is divided by 99.
93
Calculate the remainder when 1815 is divided by 87.
75
What is the remainder when 2449 is divided by 386?
133
Calculate the remainder when 17630 is divided by 4.
2
Cal | {
"pile_set_name": "DM Mathematics"
} |
third derivative of 0*f + 0 + 61*f**2 - 1/6*f**5 + 1/120*f**6 + 5/6*f**3 - 11/24*f**4. Determine y(m).
5
Let q(l) = -8*l + 107. Suppose -26 + 18 = 68*y - 892. Calculate q(y).
3
Let z(h) = 9*h - 1. Let d(k) = k + 11. Let l be d(-11). Let f(m) = 2*m + 0*m + 0*m + l*m. Let r(b) = -10*f(b) + 2*z(b). Calculate r(-2).
2
Let z(p) = -5*p - 4*p - 26 + 9*p + 61 - 2*p. Let m be z(20). Let y(w) = -w**2 - w + 5. Determine y(m).
-15
Let m(k) = 25*k + 98. Let a be m(-5). Let f be (a/(-24))/((-21)/(-280)). Let v(w) = -w + 29. Calculate v(f).
14
Let j(h) be the third derivative of h**4/6 + 79*h**3/3 + 2*h**2 - 205. Give j(-41).
-6
Let r(j) = 2*j**2 - 31*j + 19. Let m be (-1 - 2 - 3) + 21. Let o be r(m). Let i(t) = t**3 - 5*t**2 + 4*t - 4. Calculate i(o).
-4
Let o(g) be the second derivative of -g**5/60 + 7*g**4/24 + 51*g**3/2 - 2*g - 115. Let i(a) be the second derivative of o(a). Calculate i(-6).
19
Let w(d) = -2*d**3 - d**2 + 8*d - 6. Let u be w(-3). Let b(q) = -5*q + 0*q + 6*q - 25. Calculate b(u).
-10
Suppose -1425 = 14*r - 1383. Let a(t) = -3*t**2 + 5*t**2 - 4*t + t + t**3 + 0*t**3 + 2. Calculate a(r).
2
Let a(m) = -16*m - m**3 + m**3 - 10*m**2 + 17 + 2*m**3 - 5*m**3. Let i(o) = -2*o**3 - 9*o**2 - 14*o + 16. Let d(r) = 3*a(r) - 4*i(r). Give d(7).
-6
Let u(q) = -4*q + 3 + 27 - 48 + 2*q. Let i be u(-12). Let h(c) be the first derivative of c**2/2 + 3*c + 1. Give h(i).
9
Let l be (1/2)/((-1)/2). Let c(h) = -5*h + 7 + 11*h - 7*h + 28*h + 9*h**2. Let g(j) = 5*j**2 + 12*j + 3. Let y(m) = 4*c(m) - 9*g(m). Give y(l).
-8
Suppose 4*c - n + 24 = 0, 13 = -26*c + 25*c + 2*n. Let p(k) = 2*k**2 + k - 14. Determine p(c).
31
Let a(p) = -p**2 - 2*p + 4. Let v = -104 - -54. Let m = -50 - v. Suppose -10*y + 2*y + 24 = m. Calculate a(y).
-11
Let a(r) = 3*r + 108. Let w be a(-28). Let j(i) = -w*i - i**2 + 14*i + 0*i. Determine j(-10).
0
Suppose -18 = -105*q + 96*q. Let g(k) = -4*k + 13*k**2 - 5*k**2 + k**2 - 6*k**2. Determine g(q).
4
Let b(w) = 23*w - 125. Let k(y) = -11*y + 58. Let n(q) = 6*b(q) + 13*k(q). What is n(3)?
-11
Let t(x) = -x + 12. Let v be 604/10 - 15/(-25). Suppose -o = 4*b - v, 0*o = -3*b + 3*o + 42. Calculate t(b).
-3
Let j(v) be the first derivative of 3*v**4/4 + 2*v**3/3 - v**2/2 - 6*v - 794. Give j(-3).
-66
Let o = -38 + 27. Let s(g) = 3*g - 29. Let c(r) = 5*r - 44. Let k(j) = -5*c(j) + 8*s(j). Determine k(o).
-1
Let r(t) = -5*t**3 + 4*t**2 - 7*t + 5. Let c be (((-108)/(-15))/(-6))/((-3)/5). Give r(c).
-33
Let l(f) = -f**2 - 6*f + 12. Let r be l(2). Let c(w) be the second derivative of 1/6*w**3 + 0 + w - w**2. Calculate c(r).
-6
Let d(h) = -3*h - 15*h + 69 - 21*h - 22*h + 63*h. Determine d(17).
103
Let l(z) = 51*z**3 + 13*z**2 + 9*z - 14. Let q(t) = 34*t**3 + 8*t**2 + 6*t - 9. Let p(k) = 5*l(k) - 8*q(k). Calculate p(1).
-17
Let p(k) = k. Suppose 40*m + 832 = 8*m. Let x be 4/(m/3 + 8). What is p(x)?
-6
Let i(z) = 2*z - 14*z**2 - 10*z**3 + 2*z**2 + 27 + 9*z**3. Let t be i(-12). Let a(q) = -3*q - 3*q**t - 2*q**2 + 9*q**3 + q**3 - 6*q**3 + 2. Give a(3).
2
Let n(s) be the third derivative of -s**7/1008 + s**6/72 + 41*s**5/20 + 103*s**2. Let c(x) be the third derivative of n(x). Calculate c(3).
-5
Let v(b) be the third derivative of -1/2*b**3 - 43*b**2 + 1 + 0*b - 1/12*b**4. What is v(5)?
-13
Let z be 570/(-14) + 4/(-14). Suppose 387*t - 267*t - 4920 = 0. Let b = t + z. Let y(q) = -q**2 - 5. Calculate y(b).
-5
Let d(v) be the first derivative of v**4/4 - v**2 + 2*v + 3474. Let o(u) = u - 3. Let p be o(0). Give d(p).
-19
Let g(j) = -15*j - 56. Let b(h) = 19*h + 73. Let l(k) = 10*b(k) + 13*g(k). Let r be 3 + 1*(1 + -2). Determine l(r).
-8
Let v be 112/(-32) - 88/16. Let q(p) = -2*p - 37. What is q(v)?
-19
Let a(o) = -7*o + 20. Let z(l) = -8*l + 22. Let g(t) = -6*a(t) + 5*z(t). Let y(p) = -6*p - 27. Let i be y(-6). Calculate g(i).
8
Let j(z) = -7*z**2 + 6. Let y(q) be the third derivative of -q**5/20 + q**4/24 + q**3/2 + 19*q**2. Let b(t) = 2*j(t) - 5*y(t). Give b(6).
3
Let j(f) = -44*f + 6. Suppose -245 = -166*q + 253. Determine j(q).
-126
Let a(y) = -17*y**2 - 28*y + 2. Let l = -190 - -188. Let m be a(l). Let o(w) be the first derivative of -w**3/3 - 11*w**2/2 - 7*w + 5. Calculate o(m).
3
Let s(t) = t - 14. Let i(d) = -74*d - 819. Let h(p) = i(p) - 19*s(p). Determine h(-6).
5
Let q = 69 - 61. Suppose 3*p = -4*g + q, -p = -4*p. Let y(t) = g*t + 3*t - 2*t + 0*t. Give y(-1).
-3
Let f(k) = k**3 + 13*k**2 + 13*k + 19. Let p = 266 + -278. Let c be f(p). Let n(m) = m + 1. What is n(c)?
8
Let m(b) = b**2 - 5*b - 1. Suppose -33*h = -8 - 3 - 88. Give m(h).
-7
Let d(n) be the third derivative of 0 + 4*n - 1/30*n**5 + 0*n**4 + 1/3*n**3 - 7*n**2. Give d(-2).
-6
Let b(r) = -1836 + 265*r - 254*r + 1821. Calculate b(3).
18
Let t = -21552 - -21555. Let a(d) = -14*d + 9. What is a(t)?
-33
Let v(i) = -i**2 - 7*i. Let x be (-1 - -3) + -7 + 12 + 25. Suppose 7*l + 53 - x = 0. Determine v(l).
12
Let i(c) be the third derivative of c**5/60 - c**4/3 + 29*c**3/6 + 9*c**2 + 2*c - 8. What is i(4)?
13
Let z(m) = 3*m - 1. Let f(t) = 14*t - 88. Let k be f(7). Let u(l) = -12 + 10*l**2 + l**2 + 0*l - 7*l - l**3 - 2*l. Let x be u(k). Calculate z(x).
-7
Suppose 0 = -10*c + 27*c - 357. Suppose 12*h + 33 - c = 0. Let a(n) = 7*n. Calculate a(h).
-7
Let m(h) = -8*h + 106. Let p = 3346 - 3333. Determine m(p).
2
Let d = -154 + 164. Let r(c) be the second derivative of -c**4/12 + 2*c**3 - 15*c**2/2 - 66*c. Determine r(d).
5
Suppose -14*x + 590 - 562 = 0. Let b(c) = 11*c - 4. Determine b(x).
18
Suppose -x + 2*y - 6 = -3, -y + 33 = -4*x. Let p be x/(-18)*(1/1 - -1). Let u(a) = -5*a**2 + 2*a - 1. Calculate u(p).
-4
Let b(l) = -9*l**2 - 42*l**3 + 683*l + 43*l**3 - 659*l - 4 - l**2. Give b(4).
-4
Suppose 3*r - 2*d - 11 = -33, -2*r = -5*d + 11. Let p(c) be the second derivative of -c**4/12 - 11*c**3/6 - 5*c**2/2 + 1771*c. Calculate p(r).
19
Let b = -3 - 0. Let a be (-66)/143*26/(-3). Let w(h) = 412*h - a*h**2 - 411*h + 1 + 30*h**3 - 31*h**3. What is w(b)?
-11
Let z(k) be the first derivative of k**4/4 - k**3 - 3*k**2/2 + 5*k - 1139. Let v be (-3)/2*72/(-27). Give z(v).
9
Suppose 12*a = 14*a - 2*y - 42, -y = 0. Suppose 259 = -20*q - a. Let m(k) = k**2 + 13*k + 12. Determine m(q).
26
Suppose 0 = -4*t + z - 3, -11 = 2*t + z - 2. Let p = t - 0. Let l(r) = -20*r - 27. Let w(x) = 13*x + 17. Let v(s) = 5*l(s) + 8*w(s). Calculate v(p).
-7
Let p be (6*-28)/12 - (-55 - -44). Let u(j) = -2*j - 4 - 2*j**2 - 3*j + 1. Calculate u(p).
-6
Suppose -50*h = 88 + 62. Let j(z) = z + 11. Let f be j(-9). Let c(k) = -2*k + k + f*k + 7*k. Calculate c(h).
-24
Let k(x) = -4*x - 50. Let w(o) = -7*o - 88. Let d(u) = 5*k(u) - 3*w(u). What is d(-5)?
9
Let u(x) = 2 + 1188*x**3 + 0 - 399*x**3 - 398*x**3 - 2*x**2 - x - 392*x**3. Calculate u(-2).
4
Suppose 4*w - 11 = -p, -3*w + 4*p + 7 = -6. Suppose -x - 3 = 3*c, -w*x = c + 3*c + 19. Let q(y) = -y - 19. Calculate q(x).
-10
Let m(l) = 9*l**2 - 3. Let g(z) = -2*z**2 + z + 1. Let k(x) = -5*g(x) - m(x). Let b be (-92)/5 - 4/(-10). Let u = b - -21. What is k(u)?
-8
Suppose 2*f = 14 - 198. Let b = f - -99. Let z(j) = -j**2 + 9*j - 8. Determine z(b).
6
Let x = -120 - -114. Let p(y) = y**3 + 7*y**2 + 10*y + 29. Give p(x).
5
Let a(t) be the first derivative of -t**3 - 5*t**2/2 - 4*t + 20927. Let m be 1*-2 - (-4 + 6). Calculate a(m).
-32
Let v(k) be the first derivative of -k**7/840 + k**6/72 - k**4/8 - 55*k**3/3 + 45. Let u(n) be the third derivative of v(n). Determine u(5).
-3
Suppose -57*a + 508 = -204*a + 3889. Let p(n) = -n**2 + 24*n - 13. Determine p(a).
10
Let u(y) = -8*y - 9 - 6*y + 12*y - 4 + 3*y**2 + 9. Let d(z) = z + 8. Let v be d(-6). Let i(r) = 15*r**2 - 11*r - 21. Let p(a) = v*i(a) - 11*u(a). What is p(-2)?
-10
Let k = 1595 + -1607. Let u(q) = -9*q - 69. Determine u(k).
39
Let w(n) = 2*n**2 - 4*n - 3. Let x(a) = 3*a - 2*a - 1 - 2*a. Let l(m) = -w(m) + 2*x(m). Let k be ((-24)/36)/(2/3). Give l(k).
-3
Let d(s) = 2*s - 3. Let k(p) = p + 8. Suppose 4*j - 4*w - 12 = 0, j = -4*w - 1 + 4. Suppose 4*q = -2*v + 3*v - 19, -j*v = 2*q - 1. Let m be k(q). What is d(m)?
5
Let m(d) = 3028 - 7*d - 6037 + 3029. Give m(4).
-8
Let s(l) = 2*l**3 - 377 + l**2 + 386 + l**3 + l - 2*l**3. Let w be s(0). Let y(r) be the first derivative of r**3/3 - 4*r**2 - 6*r + 1. Determine y(w).
3
Let t(i) be the first deri | {
"pile_set_name": "DM Mathematics"
} |
-20, -1, 8/15
What is t in t**3/2 + 15*t**2/2 + 33*t + 40 = 0?
-8, -5, -2
Determine v, given that 2*v**4/7 - 2532*v**3/7 + 803906*v**2/7 - 1600224*v/7 + 798848/7 = 0.
1, 632
Find x, given that 2*x**2/23 + 1392*x/23 + 2776/23 = 0.
-694, -2
What is r in -49152*r**4 + 7680*r**3 + 37908*r**2 + 3483*r + 81 = 0?
-3/4, -3/64, 1
Factor u**4 - 3*u**3 - 4*u**2 + 12*u.
u*(u - 3)*(u - 2)*(u + 2)
Factor 3*s**5 - 48*s**4.
3*s**4*(s - 16)
Solve g**3/2 - 31*g**2/2 + 29*g = 0 for g.
0, 2, 29
Factor u**2 + 2782*u + 1934881.
(u + 1391)**2
Factor -m**3/2 + 172*m**2.
-m**2*(m - 344)/2
Suppose 5*c**3/3 + 14*c**2 + 91*c/3 + 10 = 0. What is c?
-5, -3, -2/5
Factor -3*l**3/4 - 3*l**2/8 + 33*l/4 + 63/8.
-3*(l + 1)*(l + 3)*(2*l - 7)/8
Solve 8*k**2/5 - 6206*k/5 - 1552/5 = 0 for k.
-1/4, 776
Let -55*t**4/3 + 65*t**3/3 - 10*t**2/3 = 0. What is t?
0, 2/11, 1
Let -2*h**2/7 + 34*h/7 - 60/7 = 0. What is h?
2, 15
What is l in 7*l**3/2 + 31*l**2/3 - 5*l/6 - 1 = 0?
-3, -2/7, 1/3
Factor -3*s**2/8 - 63*s/2 - 1323/2.
-3*(s + 42)**2/8
Factor -412*v**2 - 348*v + 64.
-4*(v + 1)*(103*v - 16)
Factor -5*g**4/2 + 70*g**3 - 235*g**2 - 3570*g - 13005/2.
-5*(g - 17)**2*(g + 3)**2/2
Factor -688205*h**2/3 - 7420*h/3 - 20/3.
-5*(371*h + 2)**2/3
Factor 6*p**2 - 15952*p - 5318.
2*(p - 2659)*(3*p + 1)
Suppose 20*q**5 + 5740*q**4 - 17395*q**3 + 1510*q**2 + 17420*q + 5800 = 0. What is q?
-290, -1/2, 2
Solve o**2/2 - 1077*o + 1159929/2 = 0 for o.
1077
Factor -4*c**4 - 52*c**3 - 136*c**2 + 192*c.
-4*c*(c - 1)*(c + 6)*(c + 8)
Factor 9*k**4 + 174*k**3 + 57*k**2.
3*k**2*(k + 19)*(3*k + 1)
Suppose -4*u**5/5 - 16*u**4/5 + 28*u**3/5 + 136*u**2/5 - 48*u/5 - 288/5 = 0. What is u?
-3, -2, 2
Factor -3*s**3 + 183*s**2 + 5688*s + 36720.
-3*(s - 85)*(s + 12)**2
Factor -2*o**3/9 + 100*o**2/3 - 5000*o/3 + 250000/9.
-2*(o - 50)**3/9
Factor 3*a**5 - 21*a**4 + 36*a**3 + 12*a**2 - 48*a.
3*a*(a - 4)*(a - 2)**2*(a + 1)
Factor -54*n**2 - 53*n + 1.
-(n + 1)*(54*n - 1)
Factor -t**3 - 40*t**2 - 468*t - 1296.
-(t + 4)*(t + 18)**2
Factor -4*m**2 + 1236*m + 2488.
-4*(m - 311)*(m + 2)
Find s, given that s**3/3 + 4*s**2/3 - 220*s/3 - 1600/3 = 0.
-10, 16
Find v such that 2*v**4 + 128*v**3 + 2816*v**2 + 24576*v + 73728 = 0.
-24, -8
Determine w so that -2*w**5/5 - 146*w**4/5 + 4*w**3/5 + 292*w**2/5 - 2*w/5 - 146/5 = 0.
-73, -1, 1
What is h in -64*h**2/5 - 112*h/5 - 49/5 = 0?
-7/8
Solve -u**2/5 - 6*u/5 - 1 = 0 for u.
-5, -1
Factor 2*x**2/11 - 1286*x/11 - 3876/11.
2*(x - 646)*(x + 3)/11
Factor u**4/6 + 10*u**3/3 + 13*u**2/6 - 19*u.
u*(u - 2)*(u + 3)*(u + 19)/6
Suppose -h**4/3 - 310*h**3/3 - 8111*h**2 - 47740*h/3 - 23716/3 = 0. Calculate h.
-154, -1
Solve 5*w**4 + 60*w**3 - 70*w**2 - 60*w + 65 = 0.
-13, -1, 1
What is u in u**3 + 251*u**2 = 0?
-251, 0
Let -2*w**2/11 - 56*w/11 + 120/11 = 0. What is w?
-30, 2
Factor -2*w**3/7 + 36*w**2/7 - 58*w/7 - 96/7.
-2*(w - 16)*(w - 3)*(w + 1)/7
Suppose -s**4 - 3439*s**3 - 2958399*s**2 - 2954961*s = 0. Calculate s.
-1719, -1, 0
Factor 2*u**3/9 + 22*u**2/9 + 8*u + 8.
2*(u + 2)*(u + 3)*(u + 6)/9
Factor 2*b**2/5 + 2*b - 48/5.
2*(b - 3)*(b + 8)/5
Find x, given that -245*x**5 + 6055*x**4 + 28765*x**3 + 47665*x**2 + 34480*x + 9280 = 0.
-8/7, -1, 29
Find u, given that 5*u**3 - 40*u**2 + 35*u = 0.
0, 1, 7
Factor -5*w**2 + 55*w - 120.
-5*(w - 8)*(w - 3)
What is b in -2*b**4 + 28*b**3 - 46*b**2 - 28*b + 48 = 0?
-1, 1, 2, 12
Factor u**4/2 - 6*u**3 - 267*u**2/2 - 247*u - 120.
(u - 24)*(u + 1)**2*(u + 10)/2
Determine m, given that -8*m**4/9 - 62*m**3/9 - 16*m**2 - 88*m/9 + 32/9 = 0.
-4, -2, 1/4
Factor -2*w**4/11 - 16*w**3/11 - 40*w**2/11 - 32*w/11.
-2*w*(w + 2)**2*(w + 4)/11
Factor -2*t**4/7 + 2*t**3/7 + 2610*t**2/7 - 52650*t/7 + 297000/7.
-2*(t - 15)**3*(t + 44)/7
Factor -v**2/4 - 5*v + 21/4.
-(v - 1)*(v + 21)/4
Determine y so that y**5/2 + y**4/2 - 15*y**3/2 + 23*y**2/2 - 5*y = 0.
-5, 0, 1, 2
Factor 4*s**2 - 64*s + 240.
4*(s - 10)*(s - 6)
Factor d**2 - 66*d + 65.
(d - 65)*(d - 1)
Factor g**2/2 - 7*g - 15/2.
(g - 15)*(g + 1)/2
Let 157*c**5 + 938*c**4/3 - 8*c**3/3 - 314*c**2 - 463*c/3 + 4/3 = 0. Calculate c.
-1, 4/471, 1
Suppose 4*s**4/7 + 16*s**3/7 - 24*s**2/7 - 16*s/7 + 20/7 = 0. Calculate s.
-5, -1, 1
Suppose 5*g**2 + 26*g/7 + 3/7 = 0. Calculate g.
-3/5, -1/7
Factor -5*d**4 - 160*d**3 - 545*d**2 + 510*d + 2520.
-5*(d - 2)*(d + 3)**2*(d + 28)
Factor 2*g**4/11 - 36*g**3/11 + 90*g**2/11.
2*g**2*(g - 15)*(g - 3)/11
What is j in -35*j**4 - 215*j**3 - 345*j**2 - 185*j - 20 = 0?
-4, -1, -1/7
Determine h so that 2*h**3/19 - 110*h**2/19 - 466*h/19 - 354/19 = 0.
-3, -1, 59
Factor -2*n**4 + 2614*n**3 - 1137960*n**2 + 164623136*n + 165763712.
-2*(n - 436)**3*(n + 1)
Factor d**4/2 + 1124*d**3 + 947532*d**2 + 355008656*d + 49878716168.
(d + 562)**4/2
Suppose -3*w**3 + 9072*w**2 - 9144576*w + 3072577536 = 0. Calculate w.
1008
Determine y so that -2*y**5/13 + 6*y**4/13 = 0.
0, 3
Factor -35*u**3 - 80*u**2 - 20*u.
-5*u*(u + 2)*(7*u + 2)
Factor l**2/3 - 2*l - 45.
(l - 15)*(l + 9)/3
Find q, given that 5*q**5 - 15*q**4 - 90*q**3 = 0.
-3, 0, 6
Determine o, given that 2*o**5/13 - 4*o**4/13 - 22*o**3/13 + 8*o**2/13 + 56*o/13 + 32/13 = 0.
-2, -1, 2, 4
Find o, given that 4*o**5/9 - 124*o**4/9 - 52*o**3/3 + 844*o**2/9 + 1640*o/9 + 256/3 = 0.
-2, -1, 3, 32
Let 4*r**3/3 - 8*r**2/3 + 4*r/3 = 0. What is r?
0, 1
Factor 2*o**2 - 30*o + 28.
2*(o - 14)*(o - 1)
Determine f, given that 2*f**4 - 2*f**3 - 16*f**2 + 24*f = 0.
-3, 0, 2
Factor h**3/2 - 91*h**2/2 - h/2 + 91/2.
(h - 91)*(h - 1)*(h + 1)/2
Factor -c**4/5 - 56*c**3/5 - 192*c**2 - 640*c + 6400.
-(c - 4)*(c + 20)**3/5
Let v**3 + 30*v**2 + 77*v - 108 = 0. What is v?
-27, -4, 1
Factor 729*h**3 - 3753*h**2 + 544*h - 20.
(h - 5)*(27*h - 2)**2
Factor -t**3/7 + 11*t**2/7 + 2*t - 24/7.
-(t - 12)*(t - 1)*(t + 2)/7
Solve 5*r**2 + 130*r + 845 = 0.
-13
Factor 4*i**2/15 - 2*i/5.
2*i*(2*i - 3)/15
Factor m**5 + 54*m**4 + 614*m**3 - 3076*m**2 + 4089*m - 1682.
(m - 2)*(m - 1)**2*(m + 29)**2
Factor z**5/3 - 8*z**4/3 + 16*z**3/3 + 6*z**2 - 27*z + 18.
(z - 3)**3*(z - 1)*(z + 2)/3
Factor -405*a**2 - 415*a - 10.
-5*(a + 1)*(81*a + 2)
Factor t**2 + 18*t + 56.
(t + 4)*(t + 14)
Determine v, given that -v**2 - 393*v - 1556 = 0.
-389, -4
What is d in 4*d**2 - 576*d + 572 = 0?
1, 143
Factor -4*m**2 + 2548*m + 5112.
-4*(m - 639)*(m + 2)
Suppose -z**3 - 3*z**2/2 + 27*z/2 + 14 = 0. What is z?
-4, -1, 7/2
Suppose 3*z**5 + 39*z**4 - 6*z**3 - 846*z**2 + 1539*z - 729 = 0. What is z?
-9, 1, 3
Factor -c**5/3 - 4*c**4/3 + 2*c**3 + 16*c**2/3 - 29*c/3 + 4.
-(c - 1)**3*(c + 3)*(c + 4)/3
Factor -4*i**3 - 2664*i**2 - 446208*i - 881792.
-4*(i + 2)*(i + 332)**2
Determine b so that -236*b**3/7 + 968*b**2/7 - 1040*b/7 + 96/7 = 0.
6/59, 2
Let z**2 + 52*z - 53 = 0. What is z?
-53, 1
Let -x**3/7 - 136*x**2/7 + 556*x/7 - 80 = 0. What is x?
-140, 2
Factor 4*l**3 - 508*l**2 + 8172*l - 35316.
4*(l - 109)*(l - 9)**2
Factor 3*v**2 - 1308*v.
3*v*(v - 436)
Suppose -t**2 + 4 = 0. Calculate t.
-2, 2
Solve -w**5/3 - 6*w**4 - 89*w**3/3 - 20*w**2/3 + 128*w - 256/3 = 0 for w.
-8, -4, 1
Factor 3*t**3 + 72*t**2 - 891*t.
3*t*(t - 9)*(t + 33)
Factor 3*v**3/8 + 153*v**2/8 + 147*v/4.
3*v*(v + 2)*(v + 49)/8
Solve 3*v**3 + 30*v**2 + 96*v + 96 = 0.
-4, -2
Let -2*t**2/9 + 16*t/9 - 10/3 = 0. Calculate t.
3, 5
What is t in -1083*t**4/5 + 228*t**3/5 - 12*t**2/5 = 0?
0, 2/19
Suppose -2*k**3/5 + 14*k**2/5 - 8*k/5 - 24/5 = 0. Calculate k.
-1, 2, 6
Factor -3*k**4 - 87*k**3 - 69*k**2 + 411*k - 252.
-3*(k - 1)**2*(k + 3)*(k + 28)
Let 98*z**4/9 + 2492*z**3/9 + 334*z**2/3 - 1192*z/9 + 200/9 = 0. What is z?
-25, -1, 2/7
Find g, given that -g**3 - 85*g**2 + g + 85 = 0.
-85, -1, 1
Factor -2*c**3/3 + 1516*c**2/3 - 6040*c/3 + 6032/3.
-2*(c - 754)*(c - 2)**2/3
Suppose -8*m**5/7 + 4*m**4 + 24*m**3/7 - 4*m**2 - 16*m/7 = 0. What is m?
-1, -1/2, 0, 1, 4
Factor -2*f**3/7 - 42*f**2 - 580*f/7.
-2*f*(f + 2)*(f + 145)/7
Factor -2*c**2/9 - 1376*c/9 + 1378/9.
-2*(c - 1)*(c + 689)/9
Factor -15*c**2 - 14541*c - 5814.
-3*(c + 969)*(5*c + 2)
Factor -2*y**4 - 10*y**3 + 24*y**2 + 160*y + 128.
-2*(y - 4)*(y + 1)*(y + 4)**2
Let 2*n**3/7 - 960*n**2/7 + 115200*n/7 = 0. What is n?
0, 240
Suppose 44*y**3/7 + 52*y**2/7 + 8*y/7 = 0. What is y?
-1, -2/11, 0
Determine b so that 2*b**4/19 - 2288*b**3/19 + 654368*b**2/19 = 0.
0, 572
Solve -3*v**2/4 - 24*v = 0.
-32, 0
Solve -2*j**5/3 + 128*j**4/3 - 40*j**3 | {
"pile_set_name": "DM Mathematics"
} |
a*r + v*r**4 + m + b*r**3 and give v.
2844
Rearrange 16*v + 36 - 15 - 11 - 5*v - 11 to a*v + p and give a.
11
Express (2*j**3 - 5*j**3 - 7*j**3)*(-21*j + 44*j + 3*j)*(-5 + 2 + 2) in the form b*j**3 + o*j + r + w*j**4 + c*j**2 and give w.
260
Express -1 + 164*c**3 + 42*c**4 - 41*c**4 - c**2 - 162*c**3 - 12*c as p*c**3 + o*c + d*c**2 + g*c**4 + a and give o.
-12
Express -64*g**3 - 215*g - 107*g + 65*g**3 - 132*g in the form p*g**3 + i*g**2 + c + w*g and give p.
1
Rearrange -116*t**2 + 97*t**2 - 122*t**2 - 115*t**2 - 100*t**2 - 1 to v*t**2 + w + r*t and give w.
-1
Rearrange 41*q + 7*q**2 + 19*q**2 - 25*q**2 + 5 - 5 to l*q + v + g*q**2 and give v.
0
Rearrange (-3*z**2 + 2*z**2 + 3*z**2)*(2*z + 4*z - 5*z)*(-1 + 3 - 4)*(-13 + 10 - 6) to the form h + m*z + y*z**2 + b*z**3 and give b.
36
Express -29*r + 4*r**2 - 36*r - 32*r - 2*r**2 + 100*r + 13*r**4 in the form l + w*r**3 + f*r**4 + d*r**2 + v*r and give f.
13
Rearrange (5*g - 4*g - 2*g)*(2253*g**2 - 954*g**3 - 2253*g**2) - 5*g**4 + 4*g**4 + 3*g**4 to the form d + o*g**4 + z*g + c*g**3 + k*g**2 and give o.
956
Express ((-4*i + 2*i + i)*(1 - 4 + 1) - 634 + 634 - 12*i)*(6*i**2 - i**2 - 3*i**2) as d*i**2 + a*i**3 + p + b*i and give a.
-20
Rearrange f**3 + 22104 + 22*f**2 - 22104 to c*f**2 + d*f + j*f**3 + v and give j.
1
Express -557*n**2 - 48*n + 48*n + 1242*n**2 as u + a*n + w*n**2 and give u.
0
Rearrange 650*z**3 - 1 + 0 - 710*z**3 to x*z + c*z**2 + o*z**3 + t and give t.
-1
Rearrange 110*b - 149 + 149 + b + b - 3*b + (1 - 2 + 4)*(-2*b - b + b) to the form n + j*b and give j.
103
Rearrange 59*n**2 + 94*n**2 + 60*n**2 - 5*n**2 + 1 - 31*n**2 to the form m + w*n + z*n**2 and give m.
1
Express -21 + 36 - 5*m**2 - 51 - 66 - 4*m**2 in the form h + z*m**2 + d*m and give z.
-9
Express -17 - 12*c**2 + 2*c**2 + 15 + 36*c**2 - 17*c - 3*c - 2*c**3 in the form b + u*c**3 + f*c + z*c**2 and give z.
26
Rearrange (272 - 199 + 586 - 83)*(2*t + 2 - 2)*(t + 0*t - 3*t) to d + o*t**2 + c*t and give o.
-2304
Rearrange 0*g**3 - 80 + 77 - 2*g + 2*g**3 - 3*g**2 to t + j*g**3 + n*g**2 + s*g and give s.
-2
Express 6*f**4 - 3*f**2 + 9 - f**4 - f**3 - f**4 - 12 - 7 in the form w*f + g + y*f**2 + b*f**3 + z*f**4 and give g.
-10
Rearrange -27*d**2 - d**4 - 1 - 264*d + 264*d - d**3 to the form j*d + r*d**2 + q + f*d**4 + p*d**3 and give p.
-1
Rearrange -42*g**2 + 3*g**2 + 3*g + 36*g**2 to the form u + s*g + w*g**2 and give w.
-3
Rearrange (73 - 144 - 110 - 176)*(5*u**3 + 0*u**3 - u**3)*(0*u - 2*u + 3*u) to the form s*u**3 + y*u**2 + h + p*u + q*u**4 and give q.
-1428
Express (-4 + 0 + 4*q + 2)*(26*q - 113*q - 88*q) as y*q**2 + j + c*q and give c.
350
Rearrange (-3 + 0 + 4)*(68 - 68 + 2*d**2 - 17*d) to the form p + w*d**2 + a*d and give a.
-17
Rearrange 273488*y + 23 - 3 - 273457*y to the form l + s*y and give l.
20
Express (127*p**2 + 200*p**2 - 406*p**2)*(-5 + 3 + 1 + 3*p) in the form t*p + s*p**3 + c*p**2 + y and give s.
-237
Rearrange 21*n - 5*n - 2 - 17*n - 9*n**3 to o*n + x*n**3 + k + r*n**2 and give x.
-9
Rearrange -14 - 3*r**2 - r**2 + 91 + 182 to z*r**2 + d + a*r and give z.
-4
Rearrange (7*k**2 - 3*k**2 - 2*k**2)*(-127*k + 1721*k**2 + 127*k - 95*k**2) to the form n*k**3 + v + j*k**2 + q*k + r*k**4 and give r.
3252
Express -38*h**3 + 6*h**2 + 0*h**2 + 121*h**3 - 5*h**2 in the form s + c*h**3 + x*h**2 + b*h and give x.
1
Express 5*j**2 - 50*j + 2 + 42*j**3 + 20*j + 31*j as q*j + u*j**2 + s*j**3 + r and give s.
42
Rearrange 10529*q**2 - 4 + 22 - q**3 - 10527*q**2 to the form n*q + j + v*q**3 + b*q**2 and give n.
0
Express (-1 + 6 - 3)*(-63*c + 274*c + 16*c) + 3*c - 2*c + 0*c + 0*c + c + c in the form j + a*c and give j.
0
Rearrange 0*x**3 + 5*x**2 - 2*x**3 + 50*x**2 - 2*x**3 + 33*x**2 to c*x**3 + p + u*x + o*x**2 and give o.
88
Rearrange (-497 - 382 + 514)*(4*q**2 - 2*q**2 - 4*q**2) to the form l*q**2 + w + r*q and give l.
730
Express -1 + p**3 + 4*p**3 + 18*p**4 + 39*p**4 + p**2 + 10*p**3 - 2*p - 16*p**3 as r*p + d + g*p**2 + j*p**3 + x*p**4 and give r.
-2
Rearrange (2 + 1 - 4)*(0 - 2 + 4)*(-19 - 23 + 51)*(2*a + a - 2*a) to the form y + d*a and give d.
-18
Rearrange (1 - 1 - 2 + (5 - 4 + 0)*(375 + 769 - 1746))*(-3*j + 10*j - j) to n + q*j and give q.
-3624
Rearrange (2 - 1 - 4 + (0 + 6 - 4)*(-5 + 5 - 1) + 8 + 13 - 108)*(-1 + 1 - 5)*(-2 + 2 + 2*l) to p + j*l and give j.
920
Express -15*d + 5 - d**3 + 3 + 13*d**2 - d + 25*d - 6 as c*d**2 + h + t*d + v*d**3 and give v.
-1
Rearrange 13*q**3 + q**2 - q**2 - 5*q - 14*q**3 - 13 + 4*q + 12*q**2 to u*q**2 + x*q**3 + h + i*q and give h.
-13
Rearrange 16*d + 98*d - 61*d to the form m + n*d and give n.
53
Express (0 + k**2 + 0)*(0*k - 2*k + k) - 4*k**3 + 2*k**3 + k**3 + 2*k - 1112*k**3 - 8*k + 1163*k**3 in the form f + g*k + h*k**3 + n*k**2 and give f.
0
Express -l**3 - 5*l + 33*l**2 - 33*l**2 + (2 + 0 - 6)*(2*l**3 + l**2 - l**2) as t*l**3 + m*l + n + c*l**2 and give m.
-5
Express -21*r**2 - 205 + 15*r**2 - 14*r**2 + 19*r**2 as p*r**2 + x*r + t and give p.
-1
Rearrange -4*y + 4*y + 11*y**2 + 3 - 2*y**3 - 5 to the form z + j*y + o*y**2 + n*y**3 and give n.
-2
Rearrange 3*f**2 + 2*f**3 + 0 - 4 + 2 + 10 - 3 to the form x + b*f + d*f**2 + l*f**3 and give x.
5
Express (0 - 3 + 8)*(5*a**2 - 2*a**2 + a**2)*(-5 + 3 - 2)*(-3*a**2 + 12*a**2 - 6*a**2) in the form q*a**4 + v + c*a**3 + o*a + t*a**2 and give q.
-240
Rearrange (-2 + 5 - 1 + 5 - 4 - 3 + (-3 + 3 + 2)*(-6 + 4 + 3) + 2 - 1 + 1)*(-4 + 5 + 1)*(-120*r + 107*r - 123*r) to t*r + v and give v.
0
Rearrange (-7*q - 2 + 2)*(0*q**3 + 7*q**3 + 2*q**3) + (q + 2 - 2)*(q**3 + q**3 + 0*q**3) to t + i*q + w*q**4 + h*q**2 + v*q**3 and give w.
-61
Express 3*h**2 - 9*h + 193*h**3 - 1 - 194*h**3 + 8*h in the form q + x*h**2 + f*h + i*h**3 and give f.
-1
Rearrange ((p - 2 + 2)*(5 - 5 - 3*p**2) - 5*p**3 + 4*p**3 - p**3)*(-6 - 55 - 45) to the form a*p**3 + l*p + u*p**2 + d and give a.
530
Express -997*s**2 + 1003*s**2 + 3*s**4 + 2*s + 2 + 0*s**4 as p*s + h + n*s**2 + j*s**3 + f*s**4 and give p.
2
Rearrange 0 - u + 0 + (-7 + 3 + 3)*(-1 + u + 1) - u - u + u + 431*u - 64*u + 40*u to the form l*u + v and give l.
404
Express (-1 + 6*t**3 + 192*t + 13*t**3 - t**2 - 194*t)*(2*t + 0*t - 6*t) in the form r*t**4 + x*t**2 + o*t**3 + s*t + h and give x.
8
Rearrange (-1 + 2 - 3)*(-7*v + 4*v + 2*v)*(3 - 1 + 0 + (11 - 49 - 97)*(2 - 1 + 0)) to the form q + g*v and give g.
-266
Express v + 2*v**3 - 24 + 47 - 4*v**4 - 21 - 2*v in the form r*v**2 + h*v + x*v**3 + s + f*v**4 and give x.
2
Express (-14 + 2*q**2 + 14)*(0 + 3 - 7) + (5*q + q - 4*q)*(4*q - q - 2*q) + 6*q**2 - q**2 - 3*q**2 in the form y*q**2 + z + g*q and give y.
-4
Express -62 + 31 - 2*i**2 + 37 + 22*i**3 in the form j*i + b*i**2 + p*i**3 + l and give j.
0
Express -h + 1 - 68*h**2 - 2 + 0 - 9*h**2 - 239*h**2 as i + t*h + v*h**2 and give i.
-1
Express -36837*i**3 + 36837*i**3 - i**2 - i - 32 - i**4 + 0*i as u*i**3 + d*i**4 + j*i + n*i**2 + m and give n.
-1
Rearrange 2 - 2 - r + (0*r + 69*r + 33*r)*(4 - 3 - 2) to u*r + d and give u.
-103
Rearrange 3*w - 965 + 1928 - 964 - 10*w**3 to j*w**2 + m*w + s + t*w**3 and give s.
-1
Rearrange -g**2 + 0*g**2 + 4*g**2 + (-5*g**2 + g**2 + 0*g**2)*(-3 + 5 - 1) + 5*g**2 - 4*g**2 - 6*g**2 to c + d*g**2 + s*g and give d.
-6
Express (57 + 7*l**2 - 57)*(-8 + 10*l + 8)*(l + 0*l + l) in the form d*l**4 + g + x*l**2 + b*l**3 + c*l and give d.
140
Rearrange -x**4 - 10*x**4 - x + 0*x**4 - 2*x - 60*x**4 + 2 to the form n*x + d + l*x**3 + h*x**2 + w*x**4 and give w.
-71
Rearrange -23*x**3 - 129 - 30*x**3 + 2*x**4 + 3*x**2 + 127 to c*x + p*x**2 + n*x**4 + o*x**3 + a and give o.
-53
Rearrange (-51*g**3 - 110*g**3 + 113*g**3)*(2*g + 2 - 2)*(4 - 2 + 2) to the form k + t*g**3 + b*g**2 + y*g**4 + r*g and give y.
-384
Express b**2 + 3*b**2 - 3*b**2 - 6*b**3 + b**2 + 3*b + 3*b**2 in the form m + o*b + d*b**2 + r*b**3 and give o.
3
Express 4 - 4*w**4 - 2*w**3 + 20*w**4 - 21*w**4 + 8 as c*w**2 + x*w**4 + q*w**3 + r*w + h and give h.
12
Rearrange (1 - 1 + 4*w)*(-2*w**2 + w**2 - 9*w + 19*w) to c*w**2 + u + r*w + l*w**3 and give l.
-4
Rearrange 1 + 0*o + 2*o - 17*o + 2*o to the form d*o + l and give l.
1
Express -1339*u - 1345*u + 13*u**3 + 2692*u + 10*u**3 in the form m*u + k + w*u**3 + h*u**2 and give m.
8
Rearrange (2 - 2 + w)*(0*w + 0*w + w**3) + 8*w**4 - 7*w**4 + 1647*w - 442*w + 2 to the form t | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of -4*d**2*u**4 - 2*d**2*u**2 - 3*d*u**3 - d*u - 12*u**4 - 19*u**2 wrt u?
-96*d**2*u - 18*d - 288*u
What is the first derivative of 417*n**3 + 263 wrt n?
1251*n**2
What is the second derivative of 8*k**2*l*r + 122*k**2*r - 2*k*l*r - 2*k*r - 208*l*r wrt k?
16*l*r + 244*r
What is the second derivative of -141*u**2 + 9679*u wrt u?
-282
What is the second derivative of 2*l*m**3 - l*m**2 - 7887*l*m - 300*m**3 - 3*m**2 wrt m?
12*l*m - 2*l - 1800*m - 6
Differentiate -3*b**4 - 19*b*n**2 + 184*n**2 - 1 with respect to b.
-12*b**3 - 19*n**2
What is the third derivative of -9*c**6 - 7*c**3 - 10*c**2 wrt c?
-1080*c**3 - 42
What is the first derivative of -17*k*q*v - 3*k + 2*q**2*v - 34*q**2 - 3*q*v wrt v?
-17*k*q + 2*q**2 - 3*q
Find the third derivative of 431*h**3 + 819*h**2.
2586
What is the third derivative of -71*d**3*f**2 - d**2*f**2 + 53*d wrt d?
-426*f**2
Differentiate 5421*l**4 + 3731 with respect to l.
21684*l**3
Find the third derivative of -l**2*m**3 - 2*l**2*m**2 + 6*l**2 - 6204*l*m**3 + 2*m - 384 wrt m.
-6*l**2 - 37224*l
What is the second derivative of 267*n**5 - 5*n?
5340*n**3
Find the third derivative of -38*v**5 - 15*v**2 + 29 wrt v.
-2280*v**2
What is the second derivative of -4*h*y**3 - 7*h*y**2 + 7*h*y + 32*h + 4*y**3 - y wrt y?
-24*h*y - 14*h + 24*y
Find the first derivative of -1683*m**3 + 3454 wrt m.
-5049*m**2
What is the second derivative of -1028*k**3*t**2 + 156*k**3*t + k**2*t wrt t?
-2056*k**3
What is the second derivative of -3*r**3*v**3 - 46*r**3*v**2 + r**3*v - 14*r + 4*v wrt v?
-18*r**3*v - 92*r**3
Find the third derivative of -196*q**4 + 3*q**2 - 29*q.
-4704*q
What is the third derivative of -h**5*r + 542*h**3*r**3 + 670*h**2*r - 3*r**3 wrt h?
-60*h**2*r + 3252*r**3
Find the second derivative of -o**5 - 4*o**4 - 138*o**3 + 6709*o wrt o.
-20*o**3 - 48*o**2 - 828*o
What is the second derivative of -l**4 + 18*l**3 + 5*l**2 + 5805*l?
-12*l**2 + 108*l + 10
Differentiate -353*r**2*s + 2646*r**2 + 4*r - 2*s wrt s.
-353*r**2 - 2
What is the third derivative of 4*a**5*y**2 + 21*a**5*y - 2*a**2 - 2*a + 486*y**2 wrt a?
240*a**2*y**2 + 1260*a**2*y
Find the second derivative of -1336*d**3*o**3 - 8*d**3 - 22*d*o - d + 2*o**4 wrt o.
-8016*d**3*o + 24*o**2
What is the second derivative of -x**4 + 1501*x**3 - 37*x wrt x?
-12*x**2 + 9006*x
What is the third derivative of -3*f**2*h**2 + 4*f**2*h*r**3 + 51*f**2*h*r**2 - 8*f**2*r**3 + 3*f*h**2*r + 2*f*h*r**2 + 37*h**2*r**3 wrt r?
24*f**2*h - 48*f**2 + 222*h**2
Differentiate 913*v**2 + 5*v - 30 wrt v.
1826*v + 5
What is the third derivative of 71*k**5 + 5*k**3 + 4*k**2 + 982?
4260*k**2 + 30
Find the third derivative of -3*h**4 - 188*h**2 wrt h.
-72*h
Find the third derivative of 5*d*l**4 + d*l**3 - 3*d*l**2 - 5*d - l**4 - 3*l**2 wrt l.
120*d*l + 6*d - 24*l
Find the third derivative of 84*z**4 + 2*z**3 + 51*z**2 + 7.
2016*z + 12
Find the second derivative of -17*d**4*o**3 + 3*d**4*o**2 + 4*d*o**3 - 199*d wrt d.
-204*d**2*o**3 + 36*d**2*o**2
What is the derivative of 1082*b**4*x + 6*b**2*x + 2*x - 57 wrt b?
4328*b**3*x + 12*b*x
Differentiate -416*d**2*i*r**2 + 5*d*i**2*r**3 - 2*i**2*r + 5*i**2 + 26*i*r**3 + 2*r**3 wrt d.
-832*d*i*r**2 + 5*i**2*r**3
What is the derivative of 209*l**3 - 239?
627*l**2
Differentiate 172*n*t - 1053*n + 2*t wrt t.
172*n + 2
Find the second derivative of 3*a**2*k**2 + 3*a**2*k - 25*a*k**3 - 20*a - 3*k**2 - 19 wrt k.
6*a**2 - 150*a*k - 6
What is the third derivative of -2168*n**5 - 3557*n**2?
-130080*n**2
Find the second derivative of 2*b**4*d*f - 13*b**2*d + b**2*y - b*d*f*y - 2*b*d*y - 101*b*f*y wrt b.
24*b**2*d*f - 26*d + 2*y
Differentiate -970*h**4 - 2*h**2 + 4198 with respect to h.
-3880*h**3 - 4*h
What is the second derivative of 1037*i**4 - 2*i**3 + 1191*i?
12444*i**2 - 12*i
Differentiate 66*d**2*p**4 - 873*d**2 + p with respect to p.
264*d**2*p**3 + 1
Find the second derivative of -3*i**4*m - 137*i**3*m**3 - 7*i*m**3 + 65*i wrt i.
-36*i**2*m - 822*i*m**3
What is the second derivative of -83*c**2*i*l**2 + 2*c**2*i*l*q - 3*c**2*i - c**2*l*q - c**2*l - 2*c*i*l**2*q + c*i*q wrt l?
-166*c**2*i - 4*c*i*q
Find the second derivative of c**3 + c**2*z - 9*c**2 - 224*c*z wrt c.
6*c + 2*z - 18
What is the second derivative of 166*g**4 - 7*g**3 - 15*g + 38 wrt g?
1992*g**2 - 42*g
Find the third derivative of -t**4 + 48*t**3 - 180*t**2.
-24*t + 288
Find the third derivative of 3871*n**6*s + n**3*s + 135*n**2*s + 13*n**2 wrt n.
464520*n**3*s + 6*s
Find the second derivative of 150*c**2*z**2 - 2*c**2 + 13*z wrt z.
300*c**2
Differentiate -6825*g**2*l - 7923*g**2 wrt l.
-6825*g**2
Find the third derivative of 2*f**6 + 476*f**3*q + 8*f**2*q - 2*f**2 + 13*f*q wrt f.
240*f**3 + 2856*q
Find the third derivative of -2597*t**3 + 2296*t**2.
-15582
Find the first derivative of 4081*j**4 + 3433 wrt j.
16324*j**3
What is the first derivative of 2622*f*y*z + 3*f*y - f*z - 2*y*z - 120*y + z - 9 wrt f?
2622*y*z + 3*y - z
What is the first derivative of 196*r**3 + 221 wrt r?
588*r**2
Find the third derivative of -44*i*x**4 - i*x**3 + 7*i*x**2 + i*x - 43*i + 37*x**4 wrt x.
-1056*i*x - 6*i + 888*x
What is the derivative of -10902*f - 3935?
-10902
What is the second derivative of -3*b*r**2 + 11*b*r - 8*r**3 - 1 wrt r?
-6*b - 48*r
Find the first derivative of 343*z**3 + 7*z + 3307.
1029*z**2 + 7
What is the first derivative of 14*z**4 + 2*z**2 - 190 wrt z?
56*z**3 + 4*z
Find the third derivative of 9*q**5*u**3 - 12*q**3*u**3 + 3*q**2 - 17*u**3 wrt q.
540*q**2*u**3 - 72*u**3
Find the second derivative of 46*n**5 + n + 26.
920*n**3
Find the third derivative of -5941*b*j*s**3 + 455*b*j*s**2 wrt s.
-35646*b*j
What is the second derivative of -c**5*r**3 + 2*c**3*r**3 - 59*c*r**3 wrt c?
-20*c**3*r**3 + 12*c*r**3
Find the third derivative of -t**4*y - 6*t**3*y + 14*t**3 - t**2 - t*y + 10 wrt t.
-24*t*y - 36*y + 84
What is the third derivative of -2*k**3*m**3 - k**3*m - 323*k*m**3 - 71*k*m**2 + 17*k + 3*m**3 - m wrt m?
-12*k**3 - 1938*k + 18
What is the derivative of -3*z**2 - 175*z + 2663 wrt z?
-6*z - 175
Find the third derivative of -20*z**4 - 82*z**2 wrt z.
-480*z
Find the second derivative of 723*b**2 - 317*b + 5 wrt b.
1446
Differentiate 24459*w + 6708 with respect to w.
24459
Find the first derivative of -393*u**4 + 39.
-1572*u**3
Find the third derivative of 5*l*v**3 - 2*l*v + 128*v**3 + 2*v**2 - 40 wrt v.
30*l + 768
Find the first derivative of -40*g**3*l**3 - 119*g**3 wrt l.
-120*g**3*l**2
What is the second derivative of 16*y**4 - 2*y**2 + 105*y + 2 wrt y?
192*y**2 - 4
Find the third derivative of 5*f**5*s - 16*f**3*s - 4*f**2*s - 3*f**2 + 2 wrt f.
300*f**2*s - 96*s
What is the second derivative of -12*w**3 + 4*w**2 - w - 46 wrt w?
-72*w + 8
Find the second derivative of 18*g**3*m**3*p - g**3*m*p - 2*g**3*m - 2*g**3*p**2 - 10*g*p**2 + 2*m**3*p**2 wrt p.
-4*g**3 - 20*g + 4*m**3
Differentiate 2*m**2*q + 4*m**2 + 93*m*q + 93*m - 3*q + 2 with respect to q.
2*m**2 + 93*m - 3
What is the derivative of 5326*q**2 + 15634 wrt q?
10652*q
Find the third derivative of -15*m*n**3*p**2 - 20*m*n**2*p**3 + 3*n**3*p**3 + n**2*p**3 - n*p**2 wrt n.
-90*m*p**2 + 18*p**3
Find the third derivative of -4*f*r**2*s**3 + f*r**2*s**2 - 8*f*r**2*s + f*r*s + 11*f*s**3 + r*s**2 wrt s.
-24*f*r**2 + 66*f
Find the second derivative of 614*b**2*r - 2511*b*r wrt b.
1228*r
Find the third derivative of 91*w**6 - 107*w**2 + 1.
10920*w**3
Find the second derivative of 17186*k*l*r**2 - k*l + k*r - k + 8*l*r + 22*l wrt r.
34372*k*l
Find the first derivative of -764*j**4*r - 73*r + 6 wrt j.
-3056*j**3*r
Find the third derivative of 256*m**3*t*x*z**2 - 5*m**2*t*x*z + m**2*t + 2*m*x*z**2 - 10*m*x*z wrt m.
1536*t*x*z**2
What is the third derivative of -82*l**3 - 14*l**2 + 10 wrt l?
-492
Find the second derivative of -8003*y**2 - 2621*y wrt y.
-16006
Find the first derivative of 133*c**3*f + 707*c**3 wrt f.
133*c**3
Differentiate 6*p**2*u**2 - 549*p**2 - u**4 + 9*u**3 wrt u.
12*p**2*u - 4*u**3 + 27*u**2
Differentiate 3*f**3 - 57*f + 78 with respect to f.
9*f**2 - 57
Differentiate 469*f**2 + f + 683 with respect to f.
938*f + 1
Find the second derivative of -5*r**3*s*x + 3*r**3*s - 3*r**2*x + 2*r**2 - 210*r*s*x - r*x wrt r.
-30*r*s*x + 18*r*s - 6*x + 4
Find the second derivative of 102*l*x**4 + 10*l*x - 7*l + 9*x**3 + 2*x | {
"pile_set_name": "DM Mathematics"
} |
common divisor of b and 9.
9
Let t(w) = w**3 + 10*w**2 + 11*w - 6. Let g be t(-8). Calculate the highest common divisor of 51 and g.
17
Let a = -15 + 39. Calculate the greatest common factor of 168 and a.
24
Let y = -7 + 7. Suppose y*w - 132 = -2*w. What is the highest common divisor of w and 6?
6
Let i(k) = -k + 2. Let y(d) = -3*d + 5. Let z(g) = -11*i(g) + 4*y(g). Let f be z(-9). What is the highest common factor of f and 7?
7
Let a be 2/(-3) + 164/3. Suppose -348 = -3*j - a. Suppose -2*w = -w, 0 = -2*y + 4*w + 28. What is the highest common factor of y and j?
14
Let c(a) = 86*a + 2. Let b be c(-1). Let n = -34 - b. Calculate the greatest common factor of n and 10.
10
Suppose 0*q = 3*q. Suppose q = -0*j - j + 45. What is the greatest common divisor of j and 9?
9
Let y be (6/42 - 0) + 1342/14. What is the highest common divisor of 12 and y?
12
Let z(n) = n**2 - 4*n - 8. Let d be z(6). Let s(v) = 6*v - 6. Let j be s(d). Suppose w - j = 6. What is the highest common divisor of w and 16?
8
Let v = 1 - -1. Let r be (11/v)/((-1)/(-18)). What is the highest common divisor of r and 11?
11
Let q = -13 - -31. Let l = 45 - 27. Let t be 0 + 6*l/4. Calculate the greatest common factor of q and t.
9
Let l be (-10)/15 - 3/(27/(-411)). What is the highest common divisor of l and 18?
9
Let v(p) = 5*p**3 - p**2 + p. Let r be v(1). Suppose 0 = 3*h - 71 + 11. What is the highest common factor of h and r?
5
Let o(x) = 3*x - 12. Let u be o(17). What is the greatest common divisor of 52 and u?
13
Let n(s) = -5*s + 56. Let t be n(6). Calculate the greatest common divisor of 39 and t.
13
Let t(l) = 3*l + 40. Let w be t(-12). Suppose -2*q - 30 = 3*q. Let x be 2/q - (-122)/6. What is the greatest common divisor of w and x?
4
Suppose -4*i + 516 = -3*m, 3*m + 364 = m - 4*i. Let z = -119 - m. Suppose -v - z = -2*k, -3*k - 15 = 5*v - 120. Calculate the highest common factor of 10 and k.
10
Let x(y) = -6*y + 7. Let v be x(6). Let h = 49 + v. What is the highest common factor of h and 5?
5
Let s be 5/(-10)*30/(-3) - 0. What is the greatest common factor of s and 1?
1
Suppose 16*a - 425 - 103 = 0. Calculate the highest common divisor of 33 and a.
33
Let r be ((-16)/6)/((-2)/3). Suppose r*s - 28 = -2*i, -26 = -s - s + 5*i. What is the greatest common factor of 4 and s?
4
Suppose -6 = -z + 5. Calculate the greatest common divisor of z and 1.
1
Let k(s) = 3*s**2 + 1. Let l be k(-1). Let j = -1 + 2. Let u be 27 - j - l/2. Calculate the greatest common factor of 8 and u.
8
Suppose -u - 42 = 2*u. Let m be 2640/78 + 2/13. Let o = m + u. Calculate the greatest common factor of 160 and o.
20
Let u = 1 + -1. Suppose u = 4*z - 3*v - 5, 4*z + 19 = -2*v + 49. Let w be 3*z*44/6. What is the highest common divisor of 22 and w?
22
Suppose 42 = -2*b + 5*b. Suppose 0 = y + 2*y + 15. Let u be (b/5)/(y/(-25)). What is the greatest common factor of 35 and u?
7
Suppose 2*b + 1 = 25. Calculate the greatest common divisor of 60 and b.
12
Let r = 7 + -1. Let t be 5/(-2 - r/(-2)). Let d = -28 - -43. Calculate the greatest common divisor of t and d.
5
Let h = 7 - 1. Let b = -1 + h. Suppose 0*y + 240 = b*y. What is the greatest common factor of y and 16?
16
Let v(t) = 13*t - 4. Let z be v(4). Calculate the greatest common factor of 32 and z.
16
Let h be 2 + -3 + -12*(-5)/15. What is the greatest common divisor of 11 and h?
1
Suppose 0*t + 28 = 4*t. Suppose t*s = 3*s + 8. Suppose 4*f + a = 508, 4*f = -s*a + 443 + 69. Calculate the highest common divisor of f and 14.
14
Let l be (-2)/4*2*-13. Calculate the highest common divisor of l and 91.
13
Let h(y) = y**2 + y. Let a be h(-2). Let x be (-12)/1*(-16)/a. Calculate the greatest common factor of 12 and x.
12
Let r(l) be the third derivative of l**6/120 - 7*l**5/60 + l**4/24 + 2*l**2. Let f be r(8). What is the highest common factor of f and 8?
8
Suppose 0 = -3*w + 5*h - 75 + 13, 0 = 4*w + 5*h + 106. Let g = 34 + w. Let y be 4/g + 86/10. Calculate the highest common factor of 18 and y.
9
Suppose -4*s + 76 = 32. Suppose 0 = 2*f + 2*f - 88. Calculate the highest common divisor of f and s.
11
Suppose -10*s - 44 = -12*s. What is the highest common factor of 88 and s?
22
Let m be 1*-3 - (-220)/(-4). Let n = -14 - m. Let p = 108 - n. Calculate the greatest common divisor of p and 8.
8
Suppose 0 = -5*s + 517 + 473. Calculate the highest common factor of 22 and s.
22
Suppose r + 1 + 8 = 0. Let i(j) = -j + 9. Let c be i(r). Let u = 36 - c. What is the greatest common divisor of u and 90?
18
Suppose 0*v + 6 = -2*v. Let h be (-2 - v) + 1 + -1. Let g be h/(2 - 50/26). Calculate the greatest common divisor of 39 and g.
13
Let z be (-79)/(3/18*-2). Suppose -5*i + 148 + z = 0. Calculate the greatest common factor of 7 and i.
7
Let h = -26 + 12. Let i = 98 - h. Calculate the greatest common factor of i and 16.
16
Suppose z = -0*z, 0 = -5*g - 5*z + 275. Calculate the highest common divisor of g and 22.
11
Let i = -77 - -112. Let q(m) = m + 4. Let h be q(-2). Suppose -p = -h*o - 1 - 2, -2*o = -2. Calculate the highest common divisor of i and p.
5
Suppose q + 4*r - 22 = 0, 5*q + 2*r - r - 148 = 0. Calculate the highest common factor of q and 6.
6
Let u = 19 + -12. Suppose -2*s + u = -s. Let p(f) = -3*f**3 - 3*f**2 - f. Let l be p(-2). What is the highest common divisor of l and s?
7
Let z = 11 - 9. Suppose -3*r + 3*n = -342, 0 = -z*r - 3*r + 4*n + 568. What is the greatest common divisor of 28 and r?
28
Let x be (20/8)/((-2)/(-28)). Let v be (-6)/(-14) - 855/(-63). Calculate the greatest common factor of x and v.
7
Let r(n) = n**2 - 4. Let z be r(-3). Suppose -144 = -y + 3*a, 6*y + z*a = y + 720. Suppose -j = j - y. What is the highest common divisor of 8 and j?
8
Let c(s) = s**3 - 10*s**2 + 9*s + 1. Let w be c(9). Calculate the greatest common divisor of 2 and w.
1
Suppose 5*d = -w - 4*w + 3365, 4*w = 4*d + 2676. Calculate the greatest common factor of 61 and w.
61
Suppose 8*k = -2*r + 10*k + 50, 5*r - 3*k - 125 = 0. What is the greatest common divisor of 225 and r?
25
Let m = 73 + -43. Let f = m - 19. Suppose 3*c + f = 5*p, 11 = c - p + 3*p. Calculate the greatest common factor of 15 and c.
3
Let m(q) = -q**3 - 8*q**2 + 9*q + 2. Let f be m(-9). Suppose 0 = f*b + b - 150. Calculate the greatest common factor of b and 20.
10
Suppose 2*l = 6*l - 24. Suppose -38 = -4*t + 2*j, 0 = -7*t + 8*t + 3*j - 6. Calculate the highest common divisor of t and l.
3
Suppose -15 = 5*n - 85. Let x = -46 - -116. Calculate the highest common divisor of n and x.
14
Let j be -15*(-6 + 2 + (-2)/(-6)). Calculate the greatest common factor of j and 33.
11
Let g(u) = 7*u**3 + 3*u**2 - 2*u. Let w be g(2). Suppose -s - w = -2*s. What is the greatest common divisor of 8 and s?
8
Suppose -88 = 4*k - 2*c, 0*k - 4*c + 113 = -5*k. Let p be (-18)/10*(k + 11). Let z be 181/1 + 0 + -1. Calculate the greatest common factor of p and z.
18
Let b be 21/2 + (-3)/6. Calculate the highest common factor of b and 110.
10
Suppose 0 = -2*p + 1 + 5, -2*h = 4*p - 354. Calculate the highest common factor of h and 19.
19
Let n = 0 - -11. What is the greatest common factor of n and 77?
11
Let v = 19 + 69. Calculate the highest common divisor of v and 11.
11
Let c(b) = b**3 - 9*b**2 + 11*b - 9. Suppose 24 = q + 2*q. Let t be c(q). What is the highest common factor of 30 and t?
15
Suppose -6 = 3*i, -4*c - c = -5*i - 55. Let y = c - -11. Suppose 0 = -n - g + y, 2*n - 3 = 5*g + 2. Calculate the highest common divisor of 165 and n.
15
Let t = 246 - 150. Let w be 9/4*64/6. What is the highest common divisor of t and w?
24
Let b = -19 + 27. What is the greatest common factor of b and 24?
8
Let y = 147 - -49. Calculate the highest common factor of 56 and y.
28
Let w = 134 - -28. Calculate the highest common divisor of w and 18.
18
Let m(h) = -20*h + 5. Let y be m(-5). What is the greatest common divisor of 42 and y?
21
Let z be 10 + (2 - 3) + -1. Suppose -2*b + 4*k - z = -26, -15 = -b + 4*k. Suppose -2*s - 35 = -b*s. What is the highest common factor of 14 and s?
7
Let q be 1 + (-3 - (-4)/1). Suppose -10 = -q*o + 38. Let m be (-1)/(-4) + (-63)/(-4). What is the highest common factor of o and m?
8
Suppose -19 - 17 = -u. Calculate the highest common divisor of u and 12.
12
Let o be (3 + -2)*(-1 + -3). Let m(j) be the second deriv | {
"pile_set_name": "DM Mathematics"
} |
10582)/(-44). Suppose -4*n = -v - 80. Find the common denominator of 119/36 and (-4)/8 - (-2 - (-226)/n).
360
Let l = 17827/10 + -1779. Let p be 0 + -3597 + -3 + 0. Let d = 21701/6 + p. What is the common denominator of d and l?
30
Let c be -1 - ((-16)/4)/((-4)/16). Let i be 0 + 22 - (2 + -4). Let a = c + i. Calculate the lowest common multiple of a and 4.
28
Suppose -27*k + 62 + 100 = 0. Suppose 0*z = -2*z + 36. Suppose -7*y + 4 = -3*y, 2*y + z = 5*t. What is the least common multiple of k and t?
12
Let m(u) = 111*u + 2884. Calculate the least common multiple of m(-24) and 352.
1760
Suppose u - 6*g = -3*g + 11, -5*u + 2*g - 10 = 0. What is the common denominator of (-220)/32*28/(-10) and 67/((16 - 3) + u)?
36
Let z(g) = g**3 + 10*g**2 + 78*g + 1015. Let l(o) = -o**3 + 6*o**2 + 3*o - 1. What is the least common multiple of z(-11) and l(5)?
468
Let a(l) = l**2 - 6*l - 7. Let s be a(-3). Let t = s - -88. Suppose -u + 22 + 18 = -4*m, -5*u - 3*m = -t. Calculate the lowest common multiple of 27 and u.
216
Let v = 771497/36 - 21428. Suppose -62 = 2*g - f, -4*g - 5*f - 22 - 116 = 0. Calculate the common denominator of ((-148)/g)/(5/2) and v.
180
Let v be ((-16064595)/66)/(-19) + 4. Let j = v + -12812. What is the common denominator of 2/(44/49) - -1 and j?
22
Calculate the common denominator of -47/270 and 29062/4860 + 1 + (19 - 26).
2430
Let j(k) = 69*k - 9693. What is the smallest common multiple of j(168) and 8?
15192
Let s(h) = h**2 + 5*h - 8. Let p be 34/(-6) - 6/18. Let k be (-16)/p*(-3)/1. What is the least common multiple of 28 and s(k)?
112
Suppose -26*g - 70*g + 440 = 14*g. What is the smallest common multiple of 202 and g?
404
Let n(w) be the first derivative of w**4/2 - 13*w**3/3 - 10*w**2 + 8*w + 260. Calculate the lowest common multiple of n(8) and 104.
520
Suppose -175*t + 170*t + 35 = 0, 13 = 3*b + t. Calculate the lowest common multiple of b and 7038.
7038
Let k be 18154/17 - ((-234)/221)/9. Let q = -596 + k. Calculate the lowest common multiple of 2 and q.
472
Suppose 0 + 28 = x. Let q be (0 - (-126)/(-4))*(-48)/x. Let w = q + -5. What is the smallest common multiple of w and 11?
539
Let d be (14/(-8))/((-7)/(-28)). Let o(p) = -2*p - 10. Let q be o(d). What is the common denominator of -4 and (-145)/(-12) + 6/144*q?
4
Let w = -280 + 277. What is the common denominator of (w + 381/132)*-9 and 26/(-9)*99/12?
132
Let d = -19 - -26. Suppose -5*c = a - 5, d*a = 6*a + c + 35. Let q = 36 - a. Calculate the least common multiple of q and 7.
42
Let w(f) = 6*f**2 + 4*f + 3. Suppose 0 = -26*k + 923 - 13. Calculate the least common multiple of k and w(-3).
315
Let c = -743 - -308. Let u be ((-3)/c)/((-12)/(-375)). Let s = u - 2159/464. What is the common denominator of s and -11/12?
48
Let v = 68175 + -24338540/357. What is the common denominator of 97/2 and v?
714
Let f = -19319/7084 + -60/253. What is the common denominator of 39/14 and f?
28
Let b = 1098456573/3508 - 313129. Find the common denominator of 53/24 and b.
21048
What is the common denominator of -113/2448 and 1 + 2 + (-2)/(25272/34905)?
22032
Let q = 31 - 34. Let u(t) = t**2 - 5*t - 3. What is the smallest common multiple of (-5 - -23) + q + 1 and u(6)?
48
Let l = 9852325/606 - 16258. Calculate the common denominator of 46/39 and l.
7878
Find the common denominator of 674/(-198) + (-14)/(-63) and 2*302/(-152) - (-95)/38.
209
Let j(u) = 305*u**2 - 437*u - 438. What is the smallest common multiple of 950 and j(-1)?
7600
Let q = -51 + 60. Suppose -q + 21 = 6*y. Suppose 5*k - 138 = 3*o, -y*k + o - 35 + 91 = 0. What is the lowest common multiple of k and 36?
180
Let d be (-2)/(-10)*59565/(-594). Let c = 16240 + -146330/9. Let m = c - d. What is the common denominator of -1/24 and m?
24
Let l(p) = 5*p + 47. Let m be l(-16). Let t = m - -34. Let b(r) = r + 4. What is the smallest common multiple of b(0) and t?
4
Calculate the common denominator of -3 + (-39)/(-18)*7 and 23/7641.
15282
Suppose 5*q = -2713 - 3327. Let g = q - -831. Calculate the common denominator of -31/59 and g/20 + ((-28)/10)/7.
236
Let k = 1708 + -4470. Let z = 66299/24 + k. What is the common denominator of -3/4 and z?
24
Let r(x) = 5*x - 79. Let v be r(13). Let a = v - 24. What is the common denominator of a and -1/6?
6
Let g = 118 - 122. What is the smallest common multiple of 7 - 287/(-14) - 2/g and 16?
112
What is the common denominator of 139/408 and 10/15 - 14150/22440?
4488
Let n(z) = 10*z + 27. Let k be n(-5). Let w = k + 151. What is the lowest common multiple of 10 and w/20 - 4/10?
30
Let t(y) = y**3 - 4*y**2 - 2*y + 5. Let u be t(4). Suppose 61 = 3*l - 4*g + 5*g, 5*l + g = 103. What is the smallest common multiple of l and -1 + u/3*-3?
42
Let v = 1789 - 1775. Suppose -y + c = 2*y - 123, -3*y = 3*c - 135. Calculate the least common multiple of v and y.
42
Let i = -126188228347/3392952 + -1629/141373. Let k = i - -37197. Calculate the common denominator of k and -49/24.
24
Let v = -396897 + 2371687/6. Let z = 46567/30 + v. Let b = -63 - z. Calculate the common denominator of b and -7/23.
115
Suppose 154*r - 335*r = -25340. Calculate the least common multiple of r and 7490.
14980
Suppose 0 = 2*w - 4, -24823 = -4*g - 5*w + 6871. What is the smallest common multiple of g and 6?
47526
Let w = -20695/3588 - -301/46. Calculate the common denominator of w and -56/2119.
25428
Let t be (14/6)/(17/(-255)). Find the common denominator of ((3 + 2)/270)/(t/(-3507)) and 31/18.
90
Suppose 1481 = -3*r - 5*c + 6*c, -3*r + 5*c - 1465 = 0. Find the common denominator of 97/66 and ((-85)/r)/(10/15).
66
Suppose 6112 = k - 2*l, 7*l - 12*l + 6140 = k. Calculate the common denominator of (-20366)/k + 2/(-9) and 97/40.
40
Let k(p) = -25*p + 11. Let g(s) = -9*s + 4. Let t(j) = -11*g(j) + 4*k(j). Let l be t(2). Calculate the lowest common multiple of 1/l*(-648)/12 and 6.
54
What is the common denominator of 180/(-260)*105/(-252) and (-2)/(-1) + 100/(-104)?
52
Suppose 4*f = 11*f. Calculate the common denominator of -47/63 and (-568)/(-84) + -3 + f.
63
Calculate the common denominator of 137/186 and (24702/8950)/((-2)/5).
930
Let j(o) = 151*o + 1741. What is the lowest common multiple of j(-11) and 1190?
9520
Let x be ((-84)/(-35))/(8/(-2600)). Calculate the common denominator of (-15 + -4)*13/x and 53/6.
60
Let n = -3305/63 - -404/9. Let y = -11676/515 - -3324/103. What is the common denominator of n and y?
35
Let q(x) = 101*x - 3430. What is the smallest common multiple of q(36) and 20?
2060
Let w be (-6)/(-4) - (-148375)/(-122100). Let z = w - 19/111. Find the common denominator of z and 13/10.
220
Let s(i) = -i**2 + 15*i - 45. Let o be s(12). Find the common denominator of -89/88 and 5*9/o - 199/(-48).
528
Suppose 0 = -v + 20 - 70. Let g = v - -52. Suppose -5*k + 10*k - 340 = 0. Calculate the least common multiple of g and k.
68
Suppose 0 = 5*l - 3151 - 1604. What is the lowest common multiple of l and 7?
6657
Let d(f) = 15*f**2 - 3*f + 1. Let m be d(3). Let s be (867/4 - 13)/(3/2). Let z = s - m. Calculate the common denominator of z and 67/12.
12
Let j = -93988820813/16146 + 5821183. Find the common denominator of j and -37/20.
161460
Suppose 5*r - 7 = 93. What is the lowest common multiple of 2764 and r?
13820
Let g(f) = 3*f**2 - 1. Let b be g(1). Suppose 2*i = -4*o - 2190, 3*i + 5410 = -b*i + 3*o. Let h = -6475/6 - i. Calculate the common denominator of 13/14 and h.
42
Find the common denominator of 27/14 and (-16991275)/(-943250) + -16 + -2.
5390
Let m(c) = 65*c**2 - c. Let q(k) = -k**3 - 3*k**2 - k - 4. Let t be q(-3). Let g = 52749 + -52729. What is the smallest common multiple of g and m(t)?
660
Let l = -20 - -42. Suppose 0 = -3*q + 7*q + w - 43, -2*q + 3*w = -11. Calculate the smallest common multiple of l and q/3*84/14.
220
Calculate the common denominator of 95/76*(-790)/225 and 79/1038.
3114
Let z = 20 - -246. Let n = 134163/22 - 6101. Calculate the common denominator of (z/26 + -3)/(-4) and n.
286
Suppose 4*q - 3*u = 12, 38 = 129*q - 126*q + 5*u. Calculate the least common multiple of 340 and q.
1020
Let z(p) = p**2 + 10*p - 41. Let h be z(-13). What is the lowest common multiple of 4/22 - ((-155)/55 + h) and 2?
10
Suppose 3*m = -4*b + 84, 80*m - 60 = 78*m - 2*b. Suppose -i + s = -22, 5*i + 5*s = 2*s + 126. Calcula | {
"pile_set_name": "DM Mathematics"
} |
+ u*x(w).
w
Let p(q) be the second derivative of -q**4/3 + q**3/3 - q**2 - 25*q. Let u(l) = 5*l**2 - 3*l + 3. Determine 3*p(k) + 2*u(k).
-2*k**2
Let y(f) = f + 6. Let n = 0 + 4. Let m(s) = -s - 1 - 2 - n. Suppose 0 = i - 4*w + 1 + 20, 2*i - w = -14. Give i*m(k) - 6*y(k).
-k - 1
Let u(a) = a**2 + 3*a + 4. Let k be u(-2). Let w(x) = x**2 + x. Let i(h) = -2*h. What is k*w(q) + i(q)?
2*q**2
Let a = -9 - -4. Let o(u) be the second derivative of -u**3/6 - u**2/2 - 5*u. Let r be o(-7). Let l(p) = 2*p - 2. Let k(s) = 2*s - 2. Determine a*k(g) + r*l(g).
2*g - 2
Let v(k) = 3*k**2 - 4*k - 3. Let s(a) = -10*a - 9*a - 8*a + 1 - 4*a**2 + 3*a**2 + 28*a. Let j be (-1 + -1)/((-1)/3). Suppose j = -3*n - 0. Give n*v(p) - 7*s(p).
p**2 + p - 1
Let q(n) be the second derivative of -n + 0 - 1/6*n**3 + 0*n**2. Let f(a) = 5*a. What is -f(t) - 3*q(t)?
-2*t
Let z(d) = 6*d**3 - 4*d**2 + 2*d. Let y(l) = -25*l**3 + 17*l**2 - 9*l. Calculate 6*y(b) + 26*z(b).
6*b**3 - 2*b**2 - 2*b
Let t(x) = -x - 3. Let z(f) = 6*f + 16. Let a(k) = -11*t(k) - 2*z(k). Let d(b) = 2*b**3 - 8*b + 8. Give 24*a(l) - 3*d(l).
-6*l**3
Let h(v) = -1. Let d = 10 + -12. Let w(s) = -s + 2. What is d*w(o) - 3*h(o)?
2*o - 1
Let k = 5 - 6. Let f(l) be the third derivative of -l**5/60 + l**4/24 - l**3/6 + 2*l**2. Let y(a) = -7*a**2 + 7*a - 6. Calculate k*y(n) + 5*f(n).
2*n**2 - 2*n + 1
Suppose 7*k = 8*k - 6. Let n(l) = -l**2 - 2. Let p(y) = y**2 + 3*y**2 - y**2 + 6. Calculate k*p(s) + 17*n(s).
s**2 + 2
Let a(l) = -5*l - 8. Let q(k) = k - 1. Calculate -a(y) - 3*q(y).
2*y + 11
Let c(g) = -3. Let w(u) = 3*u + 15. What is 15*c(o) + 3*w(o)?
9*o
Let n(r) = -4*r**3 - 4*r - 6. Let p(x) = -2*x**3 - 2*x - 3. Calculate -6*n(f) + 11*p(f).
2*f**3 + 2*f + 3
Let c = 4 - -5. Let f(a) = -4*a**3 - 2*a**2 + 2. Let l(h) = 17*h**3 + 9*h**2 + h - 9. What is c*f(v) + 2*l(v)?
-2*v**3 + 2*v
Let j(o) = -2*o. Let a(m) = -11*m - 2. Calculate 2*a(p) - 14*j(p).
6*p - 4
Let l(p) = -2*p + 1. Suppose m - 2*m = -2. Suppose -5*h - 3 = 3*s, 0*h - m*h - 18 = 4*s. Let y(b) = -2*b + 1. Determine s*y(n) + 7*l(n).
-2*n + 1
Let d(u) = 11*u**2 - 4*u. Let y be 2/(52/(-80) - (-2)/8). Let o(x) = -5*x**2 + 2*x. Give y*o(c) - 2*d(c).
3*c**2 - 2*c
Let r(y) = 96*y**3 + 16*y**2 - 11*y + 16. Let o(l) = 19*l**3 + 3*l**2 - 2*l + 3. What is 11*o(q) - 2*r(q)?
17*q**3 + q**2 + 1
Let n(x) = 1. Let v(p) = -2*p**2 - 6. Suppose 2 = -2*g + h, 2*g - 8*h + 10 = -5*h. Give g*v(t) + 6*n(t).
-2*t**2
Let t(i) = -2*i. Let x(n) = -4*n - 3*n + 5*n. Determine -t(d) + 2*x(d).
-2*d
Let l(w) = -3*w + 1. Let m be (-32)/(-12) - (-1)/3. Let g(i) = -m*i + 4*i + 1 - 5*i. Suppose 0 = 2*k - 0*k + 12. Calculate k*l(v) + 5*g(v).
-2*v - 1
Let f(g) = -2*g - 7. Let a(m) = 5*m + 20. Let y be 2 + (-4 + 0 - -2) + 4. Calculate y*a(l) + 11*f(l).
-2*l + 3
Let v(j) = 8*j**2 + 5*j - 6. Let l(a) = 12*a**2 + 6*a - 7. Let g(z) = -13*z**2 - 6*z + 7. Let u(b) = 3*g(b) + 4*l(b). Give 6*u(y) - 7*v(y).
-2*y**2 + y
Let c be 2/(-10) + (-42)/15. Let k(p) = 9*p**3 + 9*p**2 - 3*p - 7. Let t(v) = -4*v**3 - 4*v**2 + v + 3. Calculate c*k(s) - 7*t(s).
s**3 + s**2 + 2*s
Let h(w) = -7*w**2 + 5*w + 5. Let r be (-18)/4 - 6/4. Let m(f) = -3*f**2 + 2*f + 2. Give r*h(x) + 15*m(x).
-3*x**2
Let f(r) = -r**2 - r. Let z be f(-2). Let c(s) = -s**3 + s**2 + s - 1. Let l(w) = -3*w**3 + 2*w**2 + 2*w - 3. Give z*c(y) + l(y).
-y**3 - 1
Let b(c) = -325*c. Let a(t) = -9*t. Calculate 143*a(k) - 4*b(k).
13*k
Let t(f) = -5*f**2 + 6*f. Suppose -5*y - 34 + 4 = 0. Let w(b) = -14*b**2 + 17*b. What is y*w(i) + 17*t(i)?
-i**2
Let r(z) = 108*z**2 + 117*z + 117. Let y(d) = -d**2 - d - 1. Calculate 6*r(j) + 702*y(j).
-54*j**2
Let m(o) = -3 - 8 - o**2 + o + 5. Let j(w) = -w**2 + w - 5. Suppose 5*f + n = 4*n + 22, 5*n = -4*f + 25. Calculate f*m(u) - 6*j(u).
u**2 - u
Let q(y) = 5*y**3 + 6*y**2 + 6*y - 2. Let h(d) = 4*d**3 + 10*d**2 + 3. Let z(s) = -s**2 + s - 1. Let i(u) = -h(u) - 5*z(u). Determine 6*i(j) + 5*q(j).
j**3 + 2
Suppose 0 = -3*f + 4*v - 2, 0*f - 3*v + 8 = f. Suppose 0 = 4*p - 0*p - 16. Let y(h) = -4 + p - f*h. Let g(j) = -2*j. What is -3*g(b) + 2*y(b)?
2*b
Let x(z) = 4*z**3 + 7*z**2 + 2*z**3 - 2 - z**3 + 13*z - 19*z. Let t(n) = 11*n**3 + 15*n**2 - 13*n - 4. Calculate 6*t(s) - 13*x(s).
s**3 - s**2 + 2
Let z(w) = 8*w**3 + w**2. Let m(v) = 9*v**3 - 2*v**2. Let f(o) = 27*o**3 - 5*o**2. Let u(y) = 3*f(y) - 8*m(y). Determine -5*u(n) + 6*z(n).
3*n**3 + n**2
Let n(m) = -5*m - 11. Let d(h) = 14*h + 33. Determine -6*d(i) - 17*n(i).
i - 11
Let q(r) = 3*r**2 + r + 4. Let s(d) = -5*d**2 - 2*d - 9. Determine -9*q(m) - 4*s(m).
-7*m**2 - m
Let x be (9/(-6))/(6/(-16)). Let s(p) = x - 4*p - 2*p + 3. Let i(r) = -16 + 5*r + 39 - 29. Calculate 7*i(d) + 6*s(d).
-d
Let c(t) = 8*t**2 - 2*t - 5. Let m(s) = s**2 - 5*s + 4. Let v(b) = b**2 - 6*b + 5. Let g(r) = 6*m(r) - 5*v(r). Determine -c(n) + 6*g(n).
-2*n**2 + 2*n - 1
Let g(a) = a + 1. Let y be (-6)/9*27/(-6). Let r be 3/(-9) + 4/y. Let w(f) = -1. Let j be (-6)/(-4)*4/6. Determine j*w(t) + r*g(t).
t
Let w(f) = f**2 - 1. Let n(d) = 2*d**3 + 4*d**2 + 7*d - 2. Give -n(u) + 2*w(u).
-2*u**3 - 2*u**2 - 7*u
Let f(k) = 5*k**2 - 2. Let j(g) = 5*g**2 - 1. Calculate -4*f(p) + 5*j(p).
5*p**2 + 3
Let d(r) = -r**2 - 2*r. Let n(v) = -8*v**2 - 9*v. Let i(y) = 33*y**2 + 35*y. Let c(k) = 2*i(k) + 9*n(k). What is 4*c(z) - 22*d(z)?
-2*z**2
Let m(o) = -o**2 - 2*o + 1. Let w(v) = -5*v**2 + 12*v - 9. Calculate 6*m(i) + w(i).
-11*i**2 - 3
Let y(z) = -6*z**2 - 3*z - 1. Let i(f) = -3*f**2 - f. Determine 5*i(d) - 2*y(d).
-3*d**2 + d + 2
Let l(s) = 11*s - 5. Let g(z) = 31*z - 14. Let a(h) = 6*g(h) - 17*l(h). Let t(c) = -3*c + 2. Calculate 13*a(d) - 6*t(d).
5*d + 1
Let y(j) = -49*j + 7. Let t(m) = 24*m - 3. Determine -7*t(f) - 3*y(f).
-21*f
Let i(b) = -4*b**2 + b + 7. Let c(l) = -9*l**2 + 2*l + 15. Let a = 2 - -7. Suppose -70 = 4*d - a*d. Let s be 4/d + (-372)/28. What is s*i(g) + 6*c(g)?
-2*g**2 - g - 1
Let g = -4 - -15. Let q(h) be the first derivative of -h**2/2 + 2*h - 1. Let o be (4/(-6))/((-2)/6). Let p(k) = 5*k - 11. What is g*q(r) + o*p(r)?
-r
Let n(u) = -13*u - 11. Let t(a) = -6*a - 3 - 3 + 1. Calculate -4*n(y) + 9*t(y).
-2*y - 1
Let i(x) = 2*x**2 - 3*x + 4. Let l(y) = y**2 - y + 1. Give i(u) - 6*l(u).
-4*u**2 + 3*u - 2
Let i(p) = 6*p**2 - 4*p. Suppose 0 = 7*y + 39 - 11. Let r(a) = -5*a**2 + 3*a. Determine y*r(j) - 3*i(j).
2*j**2
Let v(l) = -l**3 + l**2 + 1. Let m(k) = -3*k**3 + 7*k**2 + k + 5. Suppose 0 = -2*o + 4*o - 2. Let h be -1 + (1 - o) + -4. What is h*v(t) + m(t)?
2*t**3 + 2*t**2 + t
Let g(t) = -4*t**2 + 3*t + 2. Let b = -1 - 0. Let a = -13 + 15. Let l(j) = -j**2 + j + 1. Give a*l(c) + b*g(c).
2*c**2 - c
Let m(j) = -3*j + j - 7*j**2 + 3*j**2 - 2. Let u(b) = 21*b**2 + 9*b + 9. Let c(g) = 23*g**2 + 9*g + 9. Let s(y) = -2*c(y) + 3*u(y). Give 9*m(h) + 2*s(h).
-2*h**2
Let l(v) = -4*v + 33. Let x(z) = 7*z - 67. What is 5*l(m) + 3*x(m)?
m - 36
Let r(j) = 7*j**3 + 15*j**2 + 6*j - 13. Let h(z) = -3*z**3 - 7*z**2 - 3*z + 6. Calculate 9*h(i) + 4*r(i).
i**3 - 3*i**2 - 3*i + 2
Let u(x) = x**3 + x. Let o = 3 + -5. Let n(y) be the third derivative of -y**2 + 0*y**5 + 0 + 0*y + 1/6*y**4 + 1/24*y**6 + 1/6*y**3. Determine o*n(q) + 9*u(q).
-q**3 + q - 2
Suppose 2*w - 4 = 3*w. Suppose f - 9 = -2*f. Let l(j) = 1 - 2*j**3 + 3 - j**f + 4*j. Let r(d) = 7*d**3 - 9*d - 9. Calculate w*r(v) - 9*l(v).
-v**3
Let h(v) = -4*v**3 - 3*v**2 - 3*v. Let g(r) = 2*r - 3*r + 5*r**2 - 2*r**2 - 2 + 1. Let p be g(-1). Let l(k) = -3*k**3 - 2*k**2 - 2*k. Calculate p*l(m) - 2*h(m).
-m**3
Let d(i) = 91*i - 48*i - 42*i. Let j(o) = -5*o + 1. What is -3*d(f) - j(f)?
2*f - 1
Let i(x) = x + 1. Let a be (-9)/(-6)*(-2)/3. Let c(g) = 2*g**2 - 3*g - 1. Determine a*c(q) - 3*i(q).
-2*q**2 - 2
Let d(u) = 38 + 43 + 8*u - 79. Let h(m) = -m. Determine -d(t) - 5*h(t).
-3*t - 2
Let k(v) = -4*v + 0*v + v + 2*v. Let s(b) = 8*b + 2. What is 10*k(i) + s(i)?
-2*i + 2
Let l(q) be the second derivative of -q**5/4 - q**4/4 - 2*q. Let s(x) = 9*x**3 + 5*x**2. Determine -5*l(a) - 3*s(a).
-2*a**3
Let z(w) be the second derivative of w**3/2 + 3*w. Let y = 9 - 7. Suppose 0 = b + y - 0. Let q(c) = 7*c. Calculate b*q(m) + 5*z(m).
m
Let d(z) = -z**2 - 2*z + 4. Let j(n) = 3*n - 5. Give 5*d(g) + 4*j(g).
-5*g**2 + 2*g
Let t(x) = -31*x + 7. Let y(h) = 10*h - 2. Calculate 6*t(n) + 21*y(n).
24*n
Let d(x) | {
"pile_set_name": "DM Mathematics"
} |
79
Let q = -51 - -101. Suppose -q = -2*h - 10. What are the prime factors of h?
2, 5
List the prime factors of 2/8 - ((-5761)/28 - -7).
199
Suppose -2*g = -5*p - 5591, 98*p - 101*p - 5581 = -2*g. List the prime factors of g.
11, 23
Let o(u) = -3*u**3 - u**2. Let g be o(1). Let h(t) = -14*t - 9. Let s be h(g). Let c = -27 + s. What are the prime factors of c?
2, 5
Let c = -248 + 329. What are the prime factors of c?
3
What are the prime factors of ((-13)/(104/9376))/(-2)?
2, 293
Suppose 8470 = 22*b - 11396. List the prime factors of b.
3, 7, 43
Suppose -7*f - 392789 = -108*f. List the prime factors of f.
3889
Let v(o) = -12*o**3 + o**2 + 4*o - 3. Let c be v(2). Let l be c/(-2)*80/30. Suppose l + 4 = 3*h. List the prime factors of h.
2, 5
Suppose -2*u = -3*z - 70 - 355, u - z = 214. Suppose 0 = -3*r - 4*r + u. List the prime factors of r.
31
Suppose -34 = -4*t - 5*z + 145, -97 = -2*t - 5*z. Let s = 11 + t. List the prime factors of s.
2, 13
Suppose 0 = h - 6*h + 5*z - 480, 2*z = -h - 102. Let b = 182 + h. List the prime factors of b.
2, 3, 7
Suppose -v + 12 = 2*v. Let x(f) = 3*f**3 + 5*f**2 - 5*f + 2. Let r be x(v). Suppose -75 = -q - 3*b - 24, 0 = -4*q - 2*b + r. List the prime factors of q.
2, 3, 11
Suppose 0*x - x = 17. Let f = 69 - x. Suppose 2*s - f - 48 = 0. What are the prime factors of s?
67
Let g(q) = -3*q**3 - 6*q**2 + 7*q - 6. Let s(h) = 6*h**3 + 13*h**2 - 15*h + 12. Let n(d) = 13*g(d) + 6*s(d). What are the prime factors of n(-4)?
2, 7, 13
Let m = 6 + -3. Suppose -5 = m*o + 1. Let n(t) = -2*t**3 + t**2 - t + 1. List the prime factors of n(o).
23
Suppose -4*a - 12 = 2*h + 4, 3*h = -5*a - 20. Suppose d - 37 = -4*s, -s - d + 19 = -4*d. What are the prime factors of h/(9/(-3)) + s?
2, 5
Suppose 15*j = 19509 + 9246. List the prime factors of j.
3, 71
Let u = 183 + 733. List the prime factors of u.
2, 229
Let h = 1563 + -925. List the prime factors of h.
2, 11, 29
Suppose 0 = -11*y + 4*y + 1785. What are the prime factors of y?
3, 5, 17
Let t(x) = -3*x - 21. Let o be t(-9). Let u(l) = -l**3 + 7*l**2 - l - 8. What are the prime factors of u(o)?
2, 11
Suppose -11*f + 10*f + 131 = 0. Suppose -k - 140 = -4*d, -4*d = -4*k + 3 - f. List the prime factors of ((-8)/6)/((-3)/d).
2
Let c(y) = -y - 1. Let u(v) = -v**2 + v + 9. Let d(p) = -2*c(p) - u(p). What are the prime factors of d(-8)?
7
Let w = -40 - -120. Let n = 134 - w. What are the prime factors of n?
2, 3
Let s(r) = 818*r - 252. List the prime factors of s(2).
2, 173
Let j = -199 - -139. Let u = 131 + j. List the prime factors of u.
71
Let y(u) = -39*u**2 + 3*u - 2. Let d(c) = 39*c**2 - 4*c + 3. Let t = 13 + -17. Let q(v) = t*y(v) - 3*d(v). What are the prime factors of q(1)?
2, 19
Suppose -3*q - q = -5*o - 29, 4*o + 4 = 0. Let r(j) = j**3 - 7*j**2 + 9*j - 2. What are the prime factors of r(q)?
2
Suppose -2*b = -2*j - 710, -5*b + 5*j - 3*j + 1769 = 0. Suppose 8 = -15*h + b. What are the prime factors of h?
23
Suppose -2*q = -4*v - 2, q - 5*v = -q - 2. Suppose q*s - 372 = 5*s. List the prime factors of s.
3, 31
Let j(k) = k + 11. What are the prime factors of j(12)?
23
Let d(m) = m**2 + 13*m - 38. What are the prime factors of d(18)?
2, 5, 13
Let k(n) = n**2 - 2*n + 1. Suppose 0 = -0*u - 5*u + 20. Let y be (2 + -8)*(-2)/u. List the prime factors of k(y).
2
Let d(w) = -8*w + 67. Let h(v) = v**2 - 13*v - 14. Let b be h(14). List the prime factors of d(b).
67
Let l(x) be the third derivative of x**4/24 + 5*x**3/3 - 6*x**2. Let u be l(-10). Suppose n + 3*i = -u*n + 27, 5*n - 119 = i. What are the prime factors of n?
2, 3
Let b be 3 + -13 - (-2 + 0). List the prime factors of ((-262)/b)/(1/4).
131
Let y(a) = -a**3 - 6*a**2 - 5*a - 10. Let o be y(-6). Suppose 2*d = -2*q + o, 0 = 4*q + q - 10. What are the prime factors of d?
2
Suppose 0 = 5*j - 144 - 16. Suppose 0 = -0*t + t + 2. Let f = j + t. List the prime factors of f.
2, 3, 5
Let g = 5 + 15. Suppose -22*b + 18*b + g = 0. Suppose b*k - 3 = 12. List the prime factors of k.
3
Suppose 0 = 2*h + 4*h - 54. Suppose h*x - 797 = -131. List the prime factors of x.
2, 37
Suppose -674 - 520 = -c. What are the prime factors of c?
2, 3, 199
Let d(w) = 31*w**2 + 21*w + 84. List the prime factors of d(-4).
2, 31
What are the prime factors of ((-178)/(-4))/((90/24)/15)?
2, 89
Suppose -3*a = i + 5, -4*a + i - 5*i - 12 = 0. What are the prime factors of (76/16 + a)*12?
3, 5
Suppose 3*y + 2*i - 1464 = 0, -3*y + 1910 = 5*i + 446. List the prime factors of y.
2, 61
What are the prime factors of (936/(-40))/((-9)/750)?
2, 3, 5, 13
Suppose -5*s + 9 = -16. Suppose -3*m + 126 = 3*m. List the prime factors of m/105 - (-134)/s.
3
Let y = 20 - 41. Let p = -9 - y. Suppose -h - p = -5*h. What are the prime factors of h?
3
Suppose -58 + 18 = -2*g. Let z(n) = -10*n + 1. Let i be z(-5). Let u = i - g. What are the prime factors of u?
31
Suppose 5*x + 3*s = 6670, 5*x - 2*x + 2*s - 4002 = 0. List the prime factors of x.
2, 23, 29
Let a(k) = k**2 + 9*k + 8. Let o = -23 - -16. Let r be a(o). Let j(q) = q**2 + 9. List the prime factors of j(r).
3, 5
Suppose y - 825 = -9*h + 4*h, 2*y = 4*h + 1594. List the prime factors of (-1)/4 - y/(-20).
2, 5
Let c be 0 + 818/(-10) - (-2)/(-10). List the prime factors of ((-2 + -2)/(-1))/((-4)/c).
2, 41
Let a(v) = 139*v**2 + 4*v - 1. What are the prime factors of a(-2)?
547
Suppose -4*j + 3*j = -13. Let t(w) = 5*w + 23. List the prime factors of t(j).
2, 11
Let q be 6*3*(-111)/(-54). Let v = q - -28. What are the prime factors of v?
5, 13
Suppose 2*x = -4*v + 3790, 5*x = -3*v + 2*v + 961. What are the prime factors of v?
2, 11, 43
List the prime factors of 1/(1*(-2)/6) - -92.
89
Let w(n) = -n**3 + 13*n**2 - 11*n - 4. Let y be w(12). Suppose 16 = 4*c - 28. Suppose 45 = 5*l + 5*q, -y = -l + q + c. List the prime factors of l.
2, 7
Let k(g) = g**3 - 12*g**2 - 5*g + 7. Let p(r) = r**2 - r + 1. Let a(f) = -k(f) - 2*p(f). What are the prime factors of a(10)?
61
Let u(r) = -r**2 - 25*r + 57. Let d be u(-27). Suppose 2*l + 3*h - 166 = 8*h, d*l = 5*h + 249. What are the prime factors of l?
83
Let q = 157 + -109. Let m = 13 + q. What are the prime factors of m?
61
Let p be (-4 - -2) + 860/5. Suppose -155 - p = -5*g. What are the prime factors of (g/(-10))/(3/(-6))?
13
Suppose -5*a + a - 2*q = -290, 3*a - 215 = -2*q. Suppose -7*f = -4*f - a. List the prime factors of f.
5
Let j(t) = t**2 + 17*t + 18. Let l be j(-20). Let c = 76 + l. What are the prime factors of c?
2, 7, 11
What are the prime factors of 69605/50 - (-3)/(-30)?
2, 3, 29
Let i(d) = 18*d**3. Let u be i(1). Let b be (30/(-4))/(u/264). What are the prime factors of (-66)/b - (-12)/5?
3
Suppose -49 = -4*b - 5*r, 2*b + 3 = -0*b + 3*r. Let y be b*6/9*1. Suppose -y*d = -4 - 16. What are the prime factors of d?
5
Let j(d) = -3*d**2 - 12*d + 5. Let n(k) = -2*k**2 - 12*k + 4. Let u(q) = -4*j(q) + 5*n(q). Let t be u(10). Suppose 6*i - i = t. What are the prime factors of i?
2
Let z(q) = q + 9. Let v be z(-4). Suppose 180 = v*g - 90. List the prime factors of g.
2, 3
Let c(s) be the third derivative of s**4/3 + 9*s**3/2 + 16*s**2. List the prime factors of c(10).
107
Suppose 2*a = -0*a + 2, 0 = 5*o + a - 31. Suppose 0 = 2*t - o*t + 56. List the prime factors of t.
2, 7
Let h be (-3)/4 - (2 - (-33)/(-12)). Suppose h = 5*g + 4*l - 385, 0*l - 5 = l. What are the prime factors of g?
3
Suppose -1048 = 8*k - 88. What are the prime factors of (k/70)/(1/(-161))?
2, 3, 23
Suppose -5*n = -2*n + x + 31, -4*n = x + 41. Let s = 201 + n. What are the prime factors of s?
191
Let z(n) be the third derivative of -n**4/24 + 8*n**3/3 - n**2. Let p be z(11). List the prime factors of 6/((60/8)/p).
2
Suppose 9*f + 160 = 2320. Suppose -4*i - f = 4*k - 1108, 0 = 2*k + 3*i - 435. List the prime factors of k.
2, 3
Let z(k) = k**2 - 6*k + 3. Let v(n) = 7*n - 1. Let d be v(1). Let w be z(d). Suppose w = q - 14. What are the prime factors of q?
17
What are the prime factors of 30242*10/210 + (-6)/63?
2, 3, 5
Suppose -12 = -0*u + 2*u. Let h = u + 5. Let b = h + 22. List the prime factors of b.
3, 7
Let d(q) = q. Suppose -3*o - 2*a + 8 = 0, -a + 6 = 3*o - 1. Let z be d(o). Suppose c = -z*p + 19 - 4, -3*p = 4*c - 85. What are the prime factors of c?
5
Suppose -5*n = -20, 3*a - 7*a = -n - 16. What are the prime factors of 78/5 - ( | {
"pile_set_name": "DM Mathematics"
} |
46 = 0. Suppose l = -3*g - l + 34, g - n = l. Calculate the least common multiple of g and b.
14
Suppose -s + 1 = w - 4, w = -5*s - 15. Calculate the smallest common multiple of 16 and ((-8 - -4) + w)*(-2 + 3).
48
Find the common denominator of (98 + -52)*(-1)/21 and 45/8.
168
Let b = -643/18 + 146/9. What is the common denominator of 475/58 + (-770)/77 and b?
58
Let p = -219327940148/73989636435 - 3697/12174354. Let b = p - 5/2431. Find the common denominator of 101/6 and b.
30
Let z be 678/(-9)*(-27)/18. Suppose -4*a + 141 = z. Calculate the least common multiple of 8 and a.
56
Suppose 3 - 419 = -13*h. What is the smallest common multiple of 104 and h?
416
Let w = 83648659/1574 - 53144. Let y = 73185/3148 + w. What is the common denominator of (-333)/6*(-2)/24 and y?
8
Let m = -46/497 - 475445/1988. Let r = m + 258. Calculate the common denominator of (-4030)/(-104) + (-6)/(-8) and r.
4
Let j = 1256670759/76 - 16527658. Let l = -7484 + j. Find the common denominator of l and -23/16.
304
Let k(y) = -4*y + 28. Suppose 0 = h - 2*o - 24, 0*h = h + 4*o - 18. Calculate the lowest common multiple of h and k(5).
88
Let y = -3457 - -62243/18. What is the common denominator of y and -37/6?
18
Let z = 3/788 + -15817/14972. Let m(p) = -p**3 - 20*p**2 - 49*p - 12. Calculate the common denominator of z and m(-17).
19
Let c = -413 + 153. What is the common denominator of 32/9 and (c/(-275))/((-18)/15)?
99
Let n be (-2 + (-11)/2)*-10. Suppose -5*t - n = 5*y, -4*y = 6*t - t + 63. Let p = y + 16. Calculate the smallest common multiple of 1 and p.
4
Let d = 875 + -843. What is the least common multiple of 64 and d?
64
Let h = -5 + 12. Suppose 3*p - 21 = -2*b + 7, 3*b = 2*p - 10. What is the least common multiple of p and h?
56
Let v = 9891343711125/7378 - 1340653804. Let u = v - 3/1054. Find the common denominator of u and (11/6 + -2)*44.
21
Suppose w = -5*w + 90. Suppose n - w = 19. What is the smallest common multiple of n and 5?
170
Calculate the common denominator of (2 - (-370)/(-186))/((-280)/11130) and 77/62.
124
Let j be 7/(196/8)*-3*83. Let k = j + 8746/119. Calculate the common denominator of -17/3 and k.
51
Let f = -3558/5 + 56983/80. Let i = -12 - -30. What is the common denominator of (-9)/4*i/(-11) and f?
176
Suppose -803 = 3*v + 1258. Let i = -2725/4 - v. Calculate the common denominator of i and -121/54.
108
Let b be 2/(-5) + (-142)/(-5). Let w = 638/63 - 130/7. Find the common denominator of (b/8)/(5/4) and w.
45
Suppose 2*x + 66 = -6*z + 10*z, 4*x = 4*z - 60. What is the smallest common multiple of z and 90?
90
Let z(c) = c**2 + c + 2. Let v = 21 + -21. Calculate the least common multiple of 8 and z(v).
8
Let k = 89 + -31. Let a = k + -34. Calculate the lowest common multiple of a and 2.
24
Suppose -9*a - 455 = -16*a. What is the least common multiple of 30 and a?
390
Find the common denominator of 18/3 + ((-565)/60 - 3) and -83/60.
60
Suppose 5*g + 3*b + 5 = 72, -31 = -g - 5*b. What is the lowest common multiple of g/(10/4 - 16/8) and 40?
440
Let v = 4238 + -72084/17. Calculate the common denominator of 58/55 and v.
935
Let z = -693/4 - -172. Suppose 5*b + 2*a - 154 = 6*a, 0 = -b + 3*a + 33. Calculate the common denominator of b and z.
4
Suppose 0 = -h - u + 5, -3*h + u - 1 = -0. Let q(g) = 7*g - 1. What is the smallest common multiple of q(h) and 21?
42
Suppose 260 + 104 = 13*n. What is the smallest common multiple of n and 96?
672
Let w be ((-2302)/3)/((-2)/(-117)). Let j = -178489/4 - w. Let y = 1185/4 - j. Find the common denominator of 26/7 and y.
14
Suppose 134 = 5*u - w, 21*u - 19*u - 48 = -w. Calculate the lowest common multiple of u and 286.
286
Let g = 32126 - 1349419/42. Calculate the common denominator of g and 19/9.
126
Suppose p = -4*p + 10, -p - 18 = -4*h. Suppose h*d = 5*w - 5, 3*w + 3*d = -d + 17. What is the lowest common multiple of w and 4?
12
Let q be ((-4)/(-6))/((-2)/(-54)). Suppose -4*h = 2*z - q, 21 + 0 = 5*h + z. Let f = 4 + h. What is the smallest common multiple of 64 and f?
64
Suppose -4*b + 24 = -b - 3*w, -5*w - 20 = 0. Find the common denominator of 5/b - 186/(-88) and 119/6.
66
Let i be 8/(-20) + 205371/30. Let o = 6854 - i. What is the common denominator of (-2)/((-80)/18) - 0 and o?
20
Let h(j) = j**3 - 4*j**2 + j + 4. Let u be h(4). Suppose -132 = u*m - 10*m. Calculate the least common multiple of m and 14.
462
Let p(q) = -q - 1. Let b be p(-2). Suppose 0 = -x - b, i - x + 12 = -5*x. What is the least common multiple of 1 and -1 + 4 + (-9 - i)?
2
Suppose -7*f + 32 = -5*f. Suppose f + 0 = -4*v. What is the least common multiple of 265/25 + v/(-10) and 3?
33
Let x = 17 + -5. Let h(l) = 6*l + 6. Let b(c) = 1. Let z(a) = -18*b(a) + 3*h(a). What is the least common multiple of z(1) and x?
36
Let l(f) = f**3 - 22*f**2 - 27*f + 38. Let j be l(23). Let i(s) = -s**2 - 8*s - 8. Let m be i(-6). Calculate the common denominator of m/2 - 24/j and 31/6.
18
Let t = -12124 + 509255/42. Find the common denominator of -71/54 and t.
378
Suppose -q + 0*q + 2*u = -28, -q + 24 = -3*u. Suppose -z + 3*i = -q, -2*i - 260 + 93 = -5*z. Calculate the smallest common multiple of z and 9.
99
Let v(i) = -i**3 + 5*i**2 + 2*i - 9. Let g = 75 - 10. Suppose g = y + 4*y. Calculate the smallest common multiple of y and v(5).
13
What is the smallest common multiple of (1292/190)/((-1)/(-10)) and 328?
5576
Suppose 0 = 5*m - 49 + 19. Let w = 10 - m. Suppose -2*j + w*j - 32 = 3*i, j - 2*i - 18 = 0. Calculate the least common multiple of j and 18.
90
Suppose -2 = -o + 2*o. Let l(v) = -v**2 + 2*v + 19. Let m be l(11). Find the common denominator of 428/m*(o - -4) and -33/10.
10
Let x be (1/(-4))/((-4)/10114). Let q = x - 634. Calculate the common denominator of 2/12*2*10 and q.
24
Suppose t - 4*a - 3 = 0, -a = -2*t - 0*t + 13. Suppose 5 = 4*f + 5*n, 2*n = -4*f + t*n - 45. Calculate the least common multiple of 10 + f + (3 - 2) and 17.
102
Let u = -1/4938 + -251831/34566. Let y = 591 - -5. What is the common denominator of y/30 + 3/(-15) and u?
21
Suppose 124 = 5*d - 1. What is the lowest common multiple of (4/(-5))/(-2)*d and 10?
10
Let n be (-24)/9*(-2)/(-4)*-39. Find the common denominator of -3 - (n/24)/(-13) and -7/18.
18
Let i = -213/280 + 11/14. Calculate the common denominator of -33/56 and i.
280
What is the common denominator of -13/100 and 5 + 642/(-132) + (5 - 4)?
1100
Let l(s) = 2*s - 3. Suppose 4*j + 4*w = 32, 3*j + 0*w = -w + 14. Let t be l(j). Suppose -t = -u - 1. Calculate the least common multiple of 12 and u.
12
Let t be 2*2/(-112)*(-55017)/(-18). Let o = 891/8 + t. Let a = -53/90 + 8/15. What is the common denominator of o and a?
126
Let q = -1249565/878 - -2847/2. Let t = q + -53701/10536. Find the common denominator of -67/8 and t.
24
Let g = -11 - 7. Let b = -15 - g. Let l(q) = q**3 - 6*q**2 + 5. What is the least common multiple of b and l(6)?
15
Let j = 1467 + -1464. Let m(y) = 6*y**2 + 4*y + 3. Calculate the lowest common multiple of m(-2) and j.
57
Suppose 3*x - 14 = -4*x. Find the common denominator of 3 + x + (-16)/18 and -111/10.
90
Let j = 1433 + -2518. Let h = -5376/5 - j. Calculate the common denominator of h and -5/37.
185
Let b = 121 + -113. What is the smallest common multiple of b and 6?
24
Calculate the common denominator of 22 - 19 - 163/90 and 29/150.
450
Let s(r) = -14*r + 2. Let c be s(-5). Let d be (2/4)/((-3)/c). Let k(j) = -2*j - 12. What is the least common multiple of 22 and k(d)?
132
Suppose -8 - 2 = -k. Suppose 5*g + 0 = 30. Let b = g - -6. Calculate the lowest common multiple of b and k.
60
Let y = -7660 + 168459/22. Let p = 237681/16 + -14860. Calculate the common denominator of p and y.
176
Let i = -331001/591552 + 323/576. Calculate the common denominator of i and 31/20.
20540
Let s(w) = -w**2 - 9*w - 10. What is the least common multiple of s(-5) and 2?
10
Let v = 2/2245 + -163891/6735. What is the common denominator of 151/12 + 0 + 0 and v?
12
Calculate the least common multiple of 33 and (4 - 8 - 194)/(6 - 8).
99
Suppose 2*g + 3 - 39 = 0. Calculate the least common multiple of (-30)/(-4)*(-32)/(-5) and g.
144
Suppose -2 = o - 3, 2*i + 1496 = 4*o. Find the common denominator of (-21)/(-84) + i/120 and 53/12.
60
Let q = -39 - -60. What is the least common multiple of 20 and ((-8)/(-3) - (-4 + | {
"pile_set_name": "DM Mathematics"
} |
0.
-173731
What is -618241 (base 10) in base 6?
-21130121
What is 2606621 (base 12) in base 3?
112001211102221
Convert 1a9304b (base 13) to base 3.
121120021001102
-962a8 (base 13) to base 8
-1020563
Convert 243232210 (base 5) to base 2.
100011000100001111111
110011110011001001 (base 2) to base 14
5746d
Convert -101011111100100000011 (base 2) to base 16.
-15f903
Convert 6385 (base 9) to base 10.
4694
Convert -1110122112120 (base 3) to base 8.
-2764207
What is 2406066 (base 7) in base 11?
198969
What is 431034302 (base 5) in base 9?
3365573
What is -49928b (base 13) in base 4?
-12232102033
-10110101001101011 (base 2) to base 14
-25b51
-3c51 (base 16) to base 9
-23156
Convert -1096a92 (base 13) to base 7.
-61224310
-725c7 (base 13) to base 2
-110010001000010001
What is -52202561 (base 7) in base 12?
-1577155
-52032451 (base 8) to base 9
-22661547
48e62 (base 16) to base 12
12496a
What is -334122 (base 7) in base 5?
-3342221
-8118 (base 11) to base 6
-121540
65373 (base 10) to base 15
14583
What is 172a402 (base 11) in base 14?
568228
Convert -491b03 (base 14) to base 15.
-3464b3
What is -8b36a (base 12) in base 3?
-100102100001
-493663 (base 12) to base 14
-22cd87
What is -330011303 (base 4) in base 6?
-5135255
What is -88812 (base 13) in base 8?
-743207
Convert -45021213 (base 6) to base 16.
-14b089
Convert 1251022 (base 6) to base 14.
1b18a
-4120412 (base 6) to base 8
-601030
What is 62c8 (base 15) in base 16?
5198
22011210220 (base 3) to base 16
274cb
-1b1a35 (base 12) to base 8
-1651611
What is 79675 (base 12) in base 10?
161657
What is -20022202021201 (base 3) in base 7?
-40365352
-73690 (base 14) to base 11
-180223
5114040 (base 7) to base 14
11bc57
What is -110213334 (base 5) in base 6?
-14112050
1020124 (base 5) to base 10
16914
3441224301 (base 5) to base 3
112121011002011
What is 311413224 (base 5) in base 7?
13605262
Convert 43415113 (base 7) to base 4.
32023311322
-274147 (base 8) to base 7
-550634
-17034402 (base 8) to base 5
-2002244004
What is -441551 (base 6) in base 16?
-8f6b
-120220022212 (base 3) to base 8
-1143224
13f18 (base 16) to base 4
103330120
What is 3508112 (base 9) in base 10?
1895492
What is 636c9b (base 13) in base 16?
2388cb
What is -8911466 (base 10) in base 14?
-127d894
What is 344b24 (base 13) in base 6?
42315104
What is -18607 (base 11) in base 5?
-1313042
Convert 20020332312 (base 4) to base 13.
5993b5
Convert -130345353 (base 6) to base 5.
-1123033112
Convert 1010021021 (base 3) to base 6.
250054
364e2 (base 15) to base 4
222102311
Convert 2c65a54 (base 13) to base 8.
66414374
Convert -1010010110011001010 (base 2) to base 7.
-2611523
532587 (base 9) to base 12
13345a
-691cd7 (base 16) to base 10
-6888663
154553501 (base 6) to base 5
1321441414
Convert 1730a (base 15) to base 3.
10210210101
What is -453150 (base 6) in base 11?
-26857
What is -11010010010101000101 (base 2) in base 11?
-5392a0
Convert 1202642 (base 7) to base 16.
252d1
Convert -134334324 (base 5) to base 2.
-10101010101111001011
What is -101131321 (base 4) in base 8?
-213571
1310002242 (base 5) to base 13
882140
What is 793c18 (base 15) in base 14?
aa7c9c
Convert 146643302 (base 7) to base 15.
d0157b
What is -60b93 (base 12) in base 15?
-27576
33332033131 (base 4) to base 7
50406202
Convert 24592 (base 11) to base 5.
2112222
101131230 (base 4) to base 2
10001011101101100
Convert 3022231001 (base 4) to base 7.
10025423
-1442144 (base 7) to base 5
-22221443
-2113150 (base 7) to base 10
-255619
What is 15213573 (base 9) in base 12?
264b403
Convert -612533 (base 11) to base 8.
-3602272
What is 102b7 (base 12) in base 14?
79d9
Convert 123962 (base 15) to base 5.
210412432
What is 14948d6 (base 14) in base 3?
200220001100020
-356045 (base 9) to base 16
-3455f
Convert 114818 (base 13) to base 2.
1100100000110011111
What is -99041 (base 10) in base 14?
-28145
Convert 56581 (base 12) to base 3.
12211120021
What is -1503453 (base 6) in base 13?
-30402
1017051 (base 9) to base 7
4421350
2cdd8c (base 15) to base 12
889766
380191 (base 10) to base 12
164027
625131 (base 9) to base 10
371170
What is 343baa2 (base 12) in base 15?
d339a8
Convert 696661 (base 11) to base 13.
2c9a58
-10202021202100 (base 3) to base 10
-1993635
What is 13225453 (base 6) in base 10?
439305
Convert -2b307b8 (base 12) to base 3.
-121111200120112
-33033131202 (base 4) to base 5
-2010323430
Convert -178b2 (base 12) to base 2.
-1000010101000110
Convert -11079521 (base 10) to base 6.
-1033250025
-14b76 (base 13) to base 11
-27592
5560 (base 9) to base 8
10010
Convert 160b49 (base 15) to base 10.
1065669
373376 (base 8) to base 15
28246
-a2cd3 (base 15) to base 5
-113002043
43621464 (base 7) to base 8
16242604
What is 135788 (base 10) in base 8?
411154
Convert 214141344 (base 5) to base 14.
1a2140
-3260630 (base 7) to base 14
-a6350
Convert -14255031 (base 6) to base 7.
-4106446
What is -47442 (base 12) in base 3?
-11212020012
12042001002 (base 5) to base 14
1c0bad2
-1791d7 (base 14) to base 9
-1507031
5418a3 (base 13) to base 3
10201022100121
Convert 150110 (base 9) to base 4.
112130220
What is a22b65 (base 13) in base 14?
704340
Convert -38650bb (base 13) to base 5.
-14003231101
Convert 316072 (base 9) to base 6.
4011015
1250524403 (base 6) to base 4
320300211303
Convert 3140450 (base 6) to base 10.
153102
Convert -7d779 (base 15) to base 2.
-1100001101001000011
100000001100010110 (base 2) to base 13
48033
Convert 1045604 (base 7) to base 8.
374362
211121001011 (base 3) to base 12
195441
Convert -542600 (base 7) to base 13.
-340b5
Convert -1442440104 (base 5) to base 13.
-a58661
-4519a (base 11) to base 7
-361546
Convert -1990b (base 13) to base 6.
-1022510
What is 2402103 (base 8) in base 13?
19ca43
2176080 (base 9) to base 16
11e350
Convert 111412112 (base 7) to base 8.
31663056
What is 131236 (base 8) in base 12?
22566
-10203 (base 4) to base 10
-291
Convert 6cf8d (base 16) to base 13.
128217
-230012023 (base 4) to base 15
-387b4
-4221120 (base 5) to base 8
-211020
What is 1121010221010 (base 3) in base 10?
849234
What is -111202220111 (base 3) in base 8?
-1021420
-2110031031 (base 4) to base 9
-1124643
-1011000000110110001100 (base 2) to base 3
-12102200021212
2cd7c6 (base 14) to base 4
12000033202
Convert 304122311 (base 5) to base 8.
4564051
What is -12010011212110 (base 3) in base 16?
-29803b
42a8b4 (base 12) to base 14
1d6876
What is -1120012212020 (base 3) in base 6?
-25451010
-15824a (base 16) to base 10
-1409610
101011110111001101 (base 2) to base 14
4968d
1304302 (base 7) to base 11
106464
What is 10b6b (base 16) in base 3?
10110220112
What is -1410510 (base 9) in base 12?
-314330
573a3 (base 14) to base 9
352746
145128 (base 10) to base 11
9a045
-4c720 (base 16) to base 3
-120220112001
-1a1235 (base 12) to base 11
-293320
Convert -202430062 (base 7) to base 16.
-b4a78f
Convert -4eec8 (base 15) to base 8.
-756240
What is -21032010131 (base 4) in base 3?
-11112210101202
What is -94979a (base 15) in base 5?
-3302201340
What is 111000100110001 (base 2) in base 6?
342053
What is -1020546 (base 10) in base 5?
-230124141
-1764209 (base 10) to base 7
-20665316
What is 6ba44c (base 15) in base 14?
980075
123293a (base 12) to base 6
204034114
1330454 (base 6) to base 5
4332200
Convert -29734 (base 11) to base 5.
-2322040
-931269 (base 12) to base 9
-4301180
-21330221 (base 4) to base 6
-512345
What is -10221340043 (base 5) in base 9?
-22164612
-112321031 (base 4) to base 7
-540251
What is 21110112010010 (base 3) in base 15?
535433
What is 26670 (base 15) in base 16?
1e04b
Convert 2031253 (base 7) to base 10.
242980
What is 11011101110011001001011 (base 2) in base 8?
33563113
What is 21000112212101 (base 3) in base 6?
211544444
What is -2152d (base 14) in base 12?
-3a785
-32421133 (base 5) to base 6
-5554103
30320132 (base 6) to base 14
18773a
What is 2a66130 (base 11) in base 16?
501a52
7677 (base 8) to base 13
1ab1
What is -143558 (base 10) in base 8?
-430306
-ecb91 (base 15) to base 12
-303131
What is 10001000001000000000 (base 2) in base 16?
88200
Convert -24213431 (base 5) to base 12.
-aaa30
Convert 30012123 (base 4) to base 16.
c19b
21948 (base 16) to base 11
94380
What is -659049 (base 10) in base 9?
-1214036
Convert 30006 (base 7) to base 11.
5464
What is 789842 (base 10 | {
"pile_set_name": "DM Mathematics"
} |
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