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+ sqrt(91)) - sqrt(91) - sqrt(91))/sqrt(7).
sqrt(13)
Simplify (1*(sqrt(16)/sqrt(8) + -2))**2.
-4*sqrt(2) + 6
Simplify 3 + ((-1 + sqrt(108))*-2)**2.
-48*sqrt(3) + 439
Simplify 1 + ((sqrt(7) - (sqrt(7) - sqrt(252)))**2 + -3 - sqrt(28)/(sqrt(12)/sqrt(3))).
-sqrt(7) + 250
Simplify 3*sqrt(175) - (sqrt(7) - (-1 + sqrt(700) - sqrt(7))).
-1 + 23*sqrt(7)
Simplify 5*((-2*sqrt(56))/sqrt(2))**2.
560
Simplify (2*sqrt(132)/sqrt(3))/(sqrt(32)/(sqrt(8) - sqrt(32))).
-2*sqrt(11)
Simplify 1*(sqrt(539) + 0 + sqrt(539) + sqrt(539) + -4).
-4 + 21*sqrt(11)
Simplify (sqrt(13) - (sqrt(1300) + sqrt(1300) + 4)) + sqrt(65)/sqrt(45).
-56*sqrt(13)/3 - 4
Simplify (sqrt(5) - (sqrt(5) + sqrt(30)/sqrt(6))*3) + (-5*sqrt(500) - sqrt(5)).
-56*sqrt(5)
Simplify (sqrt(128)/sqrt(2))/(sqrt(648)*-2).
-sqrt(2)/9
Simplify -2*((2 + sqrt(147))**2 + -5)*6.
-1752 - 336*sqrt(3)
Simplify ((sqrt(192) + (sqrt(192) - (2*sqrt(192)*-2 + sqrt(192))))/(4*2*sqrt(4)))**2.
75/4
Simplify (sqrt(1344)*1 + sqrt(1344))/((sqrt(21)/sqrt(3) + sqrt(7))*1).
8*sqrt(3)
Simplify -4*sqrt(19)*-1*3.
12*sqrt(19)
Simplify (6*sqrt(170)*-2)/sqrt(10).
-12*sqrt(17)
Simplify sqrt(99)/(-2*sqrt(9))*4.
-2*sqrt(11)
Simplify sqrt(637) + (-5*sqrt(637)*-1)**2.
7*sqrt(13) + 15925
Simplify ((sqrt(7) - 3*(1 + sqrt(7))) + (-4*sqrt(252) + sqrt(252) - sqrt(7)))**2.
126*sqrt(7) + 3096
Simplify sqrt(13)*-6 + 4 + -3*sqrt(832).
-30*sqrt(13) + 4
Simplify (sqrt(2299) + sqrt(2299) + sqrt(2299) + (sqrt(2299) - -3*((0 + sqrt(2299) - sqrt(2299)) + sqrt(2299)) - sqrt(2299)))**2.
82764
Simplify sqrt(9)/(sqrt(15)/(sqrt(25)/sqrt(5))).
sqrt(3)
Simplify (1*sqrt(1377) + 0 - sqrt(1377))**2.
0
Simplify -5*(-5 + sqrt(52)/sqrt(4))*-3.
-75 + 15*sqrt(13)
Simplify 6*4*((sqrt(2) + 0)**2 + -4).
-48
Simplify (sqrt(242)*-1)**2 - sqrt(14)/sqrt(112).
-sqrt(2)/4 + 242
Simplify ((-1*sqrt(2) + sqrt(2) + 5 - sqrt(2)) + sqrt(18)*4)**2.
110*sqrt(2) + 267
Simplify -1 + (sqrt(13) - (-5 + sqrt(208) - sqrt(13))).
-2*sqrt(13) + 4
Simplify 0 + sqrt(16)/(3*sqrt(8)).
sqrt(2)/3
Simplify sqrt(612)*3 - ((-1*sqrt(34))/sqrt(2))**2.
-17 + 18*sqrt(17)
Simplify ((sqrt(209)*-2)/sqrt(11) + sqrt(171)/(sqrt(9)*2 - sqrt(9)))**2.
19
Simplify (1*(sqrt(1088) + -4*sqrt(1088)))**2.
9792
Simplify -4 + (sqrt(11) + 1)*5.
1 + 5*sqrt(11)
Simplify -1*((sqrt(320) - (sqrt(320) + sqrt(320) + -1)) + 1).
-2 + 8*sqrt(5)
Simplify 3*sqrt(17)*-2*-1.
6*sqrt(17)
Simplify 4*(sqrt(847) + -1).
-4 + 44*sqrt(7)
Simplify (sqrt(833) + (5*(sqrt(833) + 0))**2)*5.
35*sqrt(17) + 104125
Simplify 6*sqrt(63) + -4.
-4 + 18*sqrt(7)
Simplify 2*-6*1*sqrt(112)*3.
-144*sqrt(7)
Simplify 6*(1 + (sqrt(1539) - (sqrt(1539) + -2 + sqrt(1539)))) + -5.
-54*sqrt(19) + 13
Simplify (2 + (sqrt(1539) - (sqrt(1539) + 0)))**2.
4
Simplify ((sqrt(190) + sqrt(190)*-3*3)/(sqrt(40)/sqrt(4)*1))**2.
1216
Simplify 3 + (sqrt(81)/(sqrt(18)/sqrt(2)))/sqrt(3).
sqrt(3) + 3
Simplify 3*(-3*(-2 + 2*sqrt(68)))**2.
-432*sqrt(17) + 7452
Simplify -4*1*((sqrt(3) + (sqrt(108) + 0 - sqrt(108) - sqrt(108) - sqrt(108)))**2 + sqrt(9)/sqrt(3) + 5).
-1472 - 4*sqrt(3)
Simplify sqrt(13) + -5 + -2*sqrt(13) - (-2*sqrt(91))/sqrt(7).
-5 + sqrt(13)
Simplify -1*(-5 + (sqrt(171) - sqrt(19)) + -2)*1.
-2*sqrt(19) + 7
Simplify (3 + (sqrt(2448) - (2*sqrt(2448) + 1)))**2 + -2.
-48*sqrt(17) + 2450
Simplify -1*5*(sqrt(11) + 1)*-5.
25 + 25*sqrt(11)
Simplify (-1*sqrt(170)*5)/sqrt(10).
-5*sqrt(17)
Simplify ((sqrt(242) - (sqrt(242) + -3))*-5)**2.
225
Simplify 3 + (1 + sqrt(95)/sqrt(5) - sqrt(19) - sqrt(1900)*-1).
4 + 10*sqrt(19)
Simplify 2*sqrt(77)/((sqrt(11) - sqrt(66)/sqrt(54)) + sqrt(11)).
6*sqrt(7)/5
Simplify (sqrt(605) + -3 - sqrt(605))**2 + 2 + sqrt(180).
11 + 6*sqrt(5)
Simplify (2*sqrt(72)*1)**2 - (-4 + sqrt(72)*2 + sqrt(72)).
-18*sqrt(2) + 292
Simplify (-5 + -2*sqrt(300))**2.
200*sqrt(3) + 1225
Simplify ((sqrt(80) - (0 + (1*sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80)) - sqrt(80)) + -3 + (sqrt(80) - (sqrt(80) + 1 - sqrt(80)) - sqrt(80)))**2.
64*sqrt(5) + 336
Simplify sqrt(33)/(4*sqrt(363)).
sqrt(11)/44
Simplify (sqrt(54) + sqrt(54) + 2*sqrt(162)/sqrt(3))/(((sqrt(4) - (sqrt(4) + sqrt(4)*-1)) + sqrt(4) + sqrt(4))/sqrt(2)).
4*sqrt(3)
Simplify (2 + (sqrt(4212) + 1 - (2*sqrt(572) + sqrt(572))/sqrt(11)))**2.
72*sqrt(13) + 1881
Simplify (sqrt(272) + (sqrt(272) - (1 + sqrt(272))**2*-6))*1.
56*sqrt(17) + 1638
Simplify (((sqrt(1573) + 0)*-2 - sqrt(1573)) + sqrt(1573) + 4 + 0)**2.
-176*sqrt(13) + 6308
Simplify (-2 + sqrt(18)/sqrt(6) + -3)**2.
-10*sqrt(3) + 28
Simplify (-3 + sqrt(5)*-1 + sqrt(5) + sqrt(5))**2*2.
-12*sqrt(5) + 28
Simplify ((sqrt(76)*2 + sqrt(76))/sqrt(4))**2 - (-4 + sqrt(38)/sqrt(2)).
-sqrt(19) + 175
Simplify ((5 + sqrt(7)*2 + sqrt(42)/(sqrt(18)/sqrt(3)))*2)**2.
120*sqrt(7) + 352
Simplify ((sqrt(110) + (sqrt(110) - (sqrt(110)*2 + sqrt(110))) + sqrt(110))*-1)/sqrt(10)*1.
0
Simplify sqrt(16)/(sqrt(96)/sqrt(3)).
sqrt(2)/2
Simplify (2*sqrt(190)*2)/(sqrt(1210) + sqrt(1210)*-1 + sqrt(1210)).
4*sqrt(19)/11
Simplify (sqrt(1216) + -2 + 4 - -3*-2*sqrt(1216))**2.
-160*sqrt(19) + 30404
Simplify (sqrt(190)/(sqrt(60)/sqrt(6)))**2 + (sqrt(19) - (sqrt(95)*1)/sqrt(5)).
19
Simplify (sqrt(684) - -3*sqrt(684))*-5.
-120*sqrt(19)
Simplify -3*((sqrt(2) - ((sqrt(2)*-4 - sqrt(2))**2 - sqrt(2))*2) + -5).
-9*sqrt(2) + 315
Simplify ((sqrt(320) + 2*sqrt(320) - sqrt(320))/sqrt(8))/(sqrt(8) - sqrt(800)*1).
-2*sqrt(5)/9
Simplify ((sqrt(208) + -1 - sqrt(13)) + 4)**2*3.
54*sqrt(13) + 378
Simplify sqrt(153)/(sqrt(567)/sqrt(7))*-3.
-sqrt(17)
Simplify ((sqrt(539) - sqrt(539)*-3)/sqrt(11))/(sqrt(252)*2).
sqrt(7)/3
Simplify (-4*(sqrt(78) + (sqrt(78) - (sqrt(78) + sqrt(78)*2 - sqrt(78)))) - sqrt(78) - sqrt(78))/sqrt(6).
-2*sqrt(13)
Simplify (sqrt(1539) + -4 + sqrt(1539) + -3)**2.
-252*sqrt(19) + 6205
Simplify 1 + 5 + 1*sqrt(11)*-2.
-2*sqrt(11) + 6
Simplify sqrt(6)/((sqrt(135)/sqrt(5))/sqrt(9)).
sqrt(2)
Simplify (sqrt(1100) + (sqrt(1100) + 1)*1)**2 - ((sqrt(66) + sqrt(66)*-2)/sqrt(6)*-5)**2.
40*sqrt(11) + 4126
Simplify -5 + 1 + sqrt(2448)*2.
-4 + 24*sqrt(17)
Simplify sqrt(11) + -5 + -1 - (sqrt(55)/sqrt(5) + -2)**2.
-21 + 5*sqrt(11)
Simplify (sqrt(272)*2 - (-1*sqrt(17) + 5))*-5.
-45*sqrt(17) + 25
Simplify sqrt(68)/(sqrt(20)/sqrt(5)) - sqrt(34)/sqrt(2)*6.
-5*sqrt(17)
Simplify 0 + (sqrt(17) - 2*sqrt(17)*6).
-11*sqrt(17)
Simplify 0 + sqrt(425) + sqrt(17) - (sqrt(34)/sqrt(2) + 2 - sqrt(17))**2.
-4 + 6*sqrt(17)
Simplify 5*(4 + 3 + sqrt(1900) + 1).
40 + 50*sqrt(19)
Simplify -3*sqrt(50)/(sqrt(10)*2).
-3*sqrt(5)/2
Simplify -3 + (4 + -2*sqrt(5))**2.
-16*sqrt(5) + 33
Simplify (((sqrt(189) - (sqrt(189) + sqrt(189)*1 + sqrt(189)))/sqrt(7) + sqrt(27) + sqrt(27))/sqrt(9))**2.
0
Simplify ((5 + -2*sqrt(343))*1)**2.
-140*sqrt(7) + 1397
Simplify ((sqrt(143) - ((sqrt(143) - 1*sqrt(143)*6) + sqrt(143)) - sqrt(143)) + sqrt(143))/(sqrt(11) + (sqrt(88)/sqrt(4))/sqrt(2)).
5*sqrt(13)/2
Simplify (sqrt(170) + (sqrt(170) - (sqrt(170) - (-1*sqrt(170) + sqrt(170) + sqrt(170))*-2)) + sqrt(170))/(-6*sqrt(40)/sqrt(4)).
0
Simplify -6*(sqrt(3) - (sqrt(3)*1 + 0))*-4.
0
Simplify (sqrt(1053) - (sqrt(1053) + 1 - sqrt(1053)))**2*5 - (2*sqrt(1053) + -3).
-108*sqrt(13) + 5273
Simplify -6*(sqrt(1900) - -1*sqrt(1900)) - (-1*sqrt(684) + (sqrt(228)*-2)/sqrt(12))**2.
-1216 - 120*sqrt(19)
Simplify (-6*(sqrt(117) + sqrt(117) + 1*1*sqrt(117) + sqrt(117))/sqrt(9))**2.
7488
Simplify -2*(3 + (sqrt(108) - 1*sqrt(108))).
-6
Simplify -4 + -4*(sqrt(2) - (-2 + sqrt(2) - sqrt(2)))*6.
-52 - 24*sqrt(2)
Simplify (3*(sqrt(704) + 0))**2.
6336
Simplify ((sqrt(128) - (2*sqrt(128) + 0)) + 1 + -5)**2.
64*sqrt(2) + 144
Simplify ((sqrt(1452) - (sqrt(1452) - -3*sqrt(1452))) + ((-1*sqrt(108))/sqrt(9) - sqrt(12)))**2.
14700
Simplify (sqrt(40) + (sqrt(160) + sqrt(160)*1)/sqrt(4))/(-2*sqrt(968) - sqrt(968)).
-sqrt(5)/11
Simplify 1*(0 + sqrt(17))*5.
5*sqrt(17)
Simplify -1 + sqrt(51)/sqrt(3) + (2*sqrt(17) + sqrt(17) + -1)**2.
-5*sqrt(17) + 153
Simplify (2 + sqrt(102)/sqrt(6) + 2)*-6.
-6*sqrt(17) - 24
Simplify sqrt(6)/sqrt(8) + sqrt(363) + 0 + sqrt(3).
25*sqrt(3)/2
Simplify (1 + sqrt(468) + sqrt(130)/(1*sqrt(10)) + -5)**2*2.
-112*sqrt(13) + 1306
Simplify (sqrt(228) + (sqrt(228) - (sqrt(228) + (sqrt(228) - (sqrt(228) + (sqrt(228) - 2*sqrt(228)*2))))))/(3*sqrt(300)).
-2*sqrt(19)/15
Simplify (-3*4*-1*sqrt(3)*-4)**2.
6912
Simplify (sqrt(637) - ((-1 + sqrt(637))*6 - sqrt(637)))**2.
-336*sqrt(13) + 10228 | {
"pile_set_name": "DM Mathematics"
} |
e in 1/8, j, z?
1/8
Let g = -11 + 8. Let s be g/5 - (-48)/280. Let d = 5.11 + -0.11. Which is the third biggest value? (a) d (b) s (c) 4
b
Let t be (-1)/((-2)/((-4)/5)). Let x = 9 - 15. Let i = 6.5 + x. Which is the third smallest value? (a) 2 (b) i (c) t
a
Let r be (4/3 + -1)*18. Let b be -9 + r + (-1)/(-1). What is the second smallest value in -5, -1/5, b?
b
Let u = -3 - -10. Let s = -12 + u. Let w = -0.164 + 0.364. Which is the second smallest value? (a) s (b) w (c) 5
b
Let h = 0.9 + -1. Let m = -0.4 - h. Which is the third smallest value? (a) -0.5 (b) -2/5 (c) m
c
Let q = -4.8 + 0.8. Suppose l - 3*l - 16 = 2*p, -5*l - 26 = -2*p. Let t = l - -23/4. Which is the second biggest value? (a) 2/9 (b) t (c) q
b
Suppose -20 = 5*u, 2*u + 24 = 3*q + q. Let o = 87 + -87. Let t = 1.1 + -1. What is the third biggest value in q, o, t?
o
Let u = 1 + 1. Let n = 10 - 9. Let i = n - u. What is the third biggest value in i, -2, 2?
-2
Let m = 47 + -25. Let v = m + -26. Which is the third biggest value? (a) v (b) 1/6 (c) -1/6
a
Suppose -13 + 10 = i. Let y = -7.3 - -7. Let w = y + 1.3. Which is the second biggest value? (a) i (b) w (c) 0.1
c
Let m = 0.014 - -8.986. Which is the second biggest value? (a) -3 (b) 3/7 (c) m (d) -0.2
b
Let q = -0.8 - -0.2. Let z = q - -7.6. Let h = z - 5. Which is the biggest value? (a) h (b) -1/3 (c) -0.6
a
Let v = 4 + -5. Let p = 6 + -10. What is the smallest value in p, v, -0.1?
p
Let s = -1.1 + 1.6. Which is the third biggest value? (a) s (b) -4 (c) -2
b
Let c = 5.06 + -5. Let r = c - 0.56. What is the biggest value in -0.4, 2/7, r?
2/7
Let v(z) = z**3 - 7*z**2 + 6*z - 4. Let i be v(6). Let p = 4 + -1. Which is the second smallest value? (a) 1/2 (b) p (c) i
a
Suppose u + 37 = -5*o + 8*o, -5*o + u + 63 = 0. Let i be (-8)/18*o/26. Let l be (8/14 - 0)*-1. What is the third biggest value in i, -0.2, l?
l
Let c = -4.8 - 0.2. Let x be 2/(-6)*6/(-1). What is the third smallest value in x, 3, c?
3
Let r = 7 + -6.9. Let v = -13/100 + -3/25. Which is the third biggest value? (a) r (b) v (c) 1
b
Let i be (-9*(-14)/(-105))/(6/(-4)). What is the second biggest value in i, 0.4, 6?
i
Let x = 7 + -2. Which is the biggest value? (a) -3 (b) 0.05 (c) x (d) 0.4
c
Let m = 0.46 + 0.09. Let f = 0.05 - m. Which is the third biggest value? (a) -2 (b) -0.2 (c) f
a
Let o = 7.1 + 0.9. Let b = -5 + o. What is the smallest value in b, -3, -1/3?
-3
Let t = -1.1 + -12.9. Let v = -13 - t. Let b = 0.8 - 1. What is the third biggest value in -4, v, b?
-4
Let i = -5 - -4. Let b be 29/(-7) + 4/28. Let f = 1419/56 + -180/7. What is the second biggest value in b, i, f?
i
Let x = 1/48 + -11/16. Which is the smallest value? (a) 0 (b) 0.5 (c) x
c
Suppose -4*a + 4*c - 32 = 0, -4*a + 4*c - c - 29 = 0. What is the third biggest value in 1/2, 5, a?
a
Let p = -0.024 - -0.024. Which is the biggest value? (a) -4 (b) p (c) -0.5
b
Let l = -6.5 - -18.5. Which is the second smallest value? (a) 2/15 (b) -0.2 (c) l
a
Let i = 2 - 1.8. Let r = -0.3 - -3.3. Let o = -7 + 3. Which is the second smallest value? (a) r (b) i (c) o
b
Let a = 11.3 + -12.3. Let h = 11 - 10.3. Let k = h + -0.3. What is the second biggest value in 0, k, a?
0
Let n(t) = t**3 - 7*t**2 + 8*t - 9. Let r be n(6). Let s = 280 + -4202/15. Which is the third smallest value? (a) s (b) 3/7 (c) r
c
Let s = 0.65 + -1.65. Which is the second smallest value? (a) 0 (b) s (c) -3 (d) -0.3
b
Let p(x) = -x**3 + 4*x**2 - 2*x + 4. Let i be p(5). Let f be i/((-4)/2 - -5). Let t = 10 + f. What is the third biggest value in 0.4, -2/9, t?
t
Let g = 5.1 - 4.7. What is the smallest value in -4, g, -5?
-5
Suppose 0 = 2*w + w + 123759. Let g = 1856633/45 + w. Let q = g - 27/5. What is the second biggest value in -5, q, 4?
q
Let a be (-10)/(-12)*(-6)/(-15). Let b = 2/103 - -196/515. What is the second smallest value in b, -2/11, a?
a
Let p = 1/7 - -5/14. What is the third smallest value in 1/6, p, 2?
2
Let s = -5 - -16. Suppose 0 = 3*v + 5*m + s, v - m - 1 = 2*m. Let n = 0 - 0.1. What is the second smallest value in -4/5, v, n?
-4/5
Let w(j) = -2*j**2 + 5*j - 2. Let k be w(3). Let i = 7 + k. Which is the smallest value? (a) i (b) 2/13 (c) -0.5
c
Let h be 40/24 - (2 - 1). Let r = -6.08 + 6. Let k = -4.92 + r. Which is the smallest value? (a) 0.1 (b) k (c) h
b
Let m = 2/63 + -79/504. Suppose 0*z = 2*t + 5*z - 8, 12 = 3*t + 5*z. Suppose -3*l + 1 = -t*l. Which is the second biggest value? (a) m (b) 5 (c) l
a
Let o = 101 - 61. Let x be 4/6*(-15)/o. What is the third smallest value in -5, x, -0.3?
x
Let y(g) = g - 4. Let p be y(6). Let z be 59435/(-165) + 4/6. Let s = -359 - z. Which is the biggest value? (a) s (b) p (c) 0.5
b
Let k = 2.1 + -1.8. Let j be 2/10 + (-22)/35. Which is the third biggest value? (a) k (b) -1 (c) j
b
Let m be (((-135)/(-6))/(-5))/6. Which is the second smallest value? (a) -0.3 (b) m (c) 2
a
Let v = -4 + 3.7. Let o = -524141/7 + 74725. Let w = o + 152. What is the second biggest value in v, 5, w?
w
Let b = 4.95 + 0.05. Let u = -2 + b. Let x = u - 2.5. What is the second smallest value in 0.2, x, -0.3?
0.2
Let m be 2/(-8)*(-4)/(-6). Let z = -6 - 3. Let y be (-6)/z*9/24. What is the second smallest value in y, 3/4, m?
y
Let n = -30 + 18. Let w = n - -8. Which is the second smallest value? (a) 0.5 (b) 1 (c) w
a
Let g = 0 + -1. Let z = -126 - -126.4. Which is the smallest value? (a) g (b) z (c) -3
c
Let g be (-3)/(-20) - (-16)/64. Which is the biggest value? (a) g (b) -1 (c) 3
c
Let i(x) = -x**2 + 6*x + 6. Let m be i(6). Let a = 2 - m. Let y = -0.4 - -2.4. What is the second biggest value in a, 3, y?
y
Let m = 629/10 - 63. What is the fourth biggest value in 0.2, m, -5, -2/5?
-5
Let o(g) = -g**2 - 3*g + 10. Let k be o(8). Let p = k - -467/6. Let i(l) = -l**2 - 6*l - 4. Let w be i(-6). What is the biggest value in -0.2, w, p?
p
Let v = -10.04 - -10. What is the second smallest value in v, 0.1, -5?
v
Let q = -1/7 - 16/35. Let n = 0.9 - 4.9. Which is the second smallest value? (a) n (b) q (c) 0.2
b
Suppose 3*t = 4*y + 10, 4*t + 2 = -y + 9. Suppose 32 = -3*b - 4*m, 15 + 11 = -4*b - 2*m. What is the third biggest value in 5, b, t?
b
Let h = 16.2 - 16. Let w = -1 + -2. Which is the smallest value? (a) -1/4 (b) h (c) w
c
Let z = -25 + 25.4. Suppose -4*c + 5*d - 13 = -0*c, d = 4*c - 7. What is the biggest value in -1, c, z?
c
Suppose 11 = -4*p + 5*f + 1, 0 = p + 3*f + 11. Let q = -8 + 4. Let v be 3/q + -5 + 5. What is the third biggest value in p, v, -2?
p
Let k = -10 - -4.8. Let c = k + 0.2. What is the smallest value in 3/4, c, -6?
-6
Let o = -4.81 - 0.19. Let f = -0.7 - -0.2. What is the third smallest value in o, f, -0.3?
-0.3
Let d = 95 + -1993/21. Let y(j) = -j**2 - 3*j - 2. Let u be y(-3). What is the second biggest value in u, d, -4?
u
Let i(v) = 2*v - 3. Let j = 3 + 1. Let u be i(j). Suppose -3*d - u*s - 21 = -d, -s - 6 = d. What is the second biggest value in 0.3, d, 1/7?
1/7
Let n = 34/45 + -8/15. What is the third smallest value in n, 0.4, -3?
0.4
Let f be 10/4 - (-4)/(-2). Let y = 25 + -24. Which is the third smallest value? (a) y (b) f (c) 3
c
Let l = -23.6 + 24. What is the second smallest value in 2/15, 3, l, 3/4?
l
Let z be 18/6 - (-2)/1. Let l = -0.2 + 0.2. What is the second biggest value in -3, l, z?
l
Let q = -12.3 + 12. Suppose 2 = -f + 4*h - 7, -3*f + 4*h = 11. Which is the biggest value? (a) -3 (b) f (c) q
c
Let x = 1/185 - 381/2035. What is the smallest value in -1, x, -0.3?
-1
Let h = -3 - -10. Let v = 46.5 - 54. Let y = v + h. Which is the second smallest value? (a) -4/5 (b) -2/13 (c) y
c
Let o = -7784/17 + 458. Let w = 21/34 - o. Which is the smallest value? (a) 3/5 (b) 3 (c) w
c
Let m(s) be the third derivative of -s**5/60 + s**4/6 + 7*s**3/6 - s**2. Let o be m(5). Which is the second biggest value? (a) o (b) -5 (c) 0.4
c
Let w be ((-4)/(-18) - (-34)/9)*4. What is the third smallest value in 5, w, -0.4?
w
Let z = 37 - 44. Let o = 3 - 3.5. Which is the biggest value? (a) o (b) 3 (c) z
b
Let g = 0.86 - 5.86. What is the biggest value in 0.1, g, 4, 3/5?
4
Let s be ((-2)/3)/((-10)/(-12)). Which is the smallest value? (a) s (b) 8 (c) 0.5 (d) 0.2
a
Let p = -169/270 - -7/10. Let o = 0.7 - 2.7. | {
"pile_set_name": "DM Mathematics"
} |
r letters picked without replacement from gtgggtggtttg. Give prob of sequence gggt.
35/396
Four letters picked without replacement from qnncwffffqwnkn. Give prob of sequence nfnw.
4/1001
Calculate prob of sequence vsv when three letters picked without replacement from {w: 7, v: 3, s: 2}.
1/110
What is prob of sequence ee when two letters picked without replacement from {e: 3}?
1
Two letters picked without replacement from ioabiiiibiboaii. Give prob of sequence oo.
1/105
Three letters picked without replacement from {o: 5, a: 6, m: 4}. What is prob of sequence moo?
8/273
Two letters picked without replacement from ulwexnn. Give prob of sequence lx.
1/42
What is prob of sequence tp when two letters picked without replacement from {w: 1, e: 1, k: 1, v: 2, p: 1, t: 1}?
1/42
Four letters picked without replacement from {i: 4, s: 2, v: 4}. Give prob of sequence ssvi.
2/315
What is prob of sequence aoh when three letters picked without replacement from {w: 1, h: 1, o: 2, x: 1, t: 1, a: 2}?
1/84
What is prob of sequence bi when two letters picked without replacement from biiibibbbiibiibi?
21/80
What is prob of sequence zzk when three letters picked without replacement from {k: 5, z: 2}?
1/21
Calculate prob of sequence bbsz when four letters picked without replacement from {s: 4, b: 3, l: 1, z: 10}.
1/306
What is prob of sequence eo when two letters picked without replacement from {m: 1, o: 1, e: 1}?
1/6
Two letters picked without replacement from {m: 1, l: 1, r: 1, y: 1, q: 1}. What is prob of sequence lm?
1/20
Calculate prob of sequence iii when three letters picked without replacement from iiiiiiiiigiigig.
44/91
Calculate prob of sequence qm when two letters picked without replacement from qddwvvddm.
1/72
Four letters picked without replacement from mbmbbmbmbb. Give prob of sequence bmbm.
1/14
What is prob of sequence iiii when four letters picked without replacement from {b: 11, i: 9}?
42/1615
Calculate prob of sequence sg when two letters picked without replacement from {v: 2, g: 2, w: 4, s: 2}.
2/45
What is prob of sequence dd when two letters picked without replacement from ddddddddd?
1
Calculate prob of sequence ey when two letters picked without replacement from {e: 3, n: 1, h: 1, c: 2, y: 8, m: 1}.
1/10
Four letters picked without replacement from dndnnnnndnnddn. What is prob of sequence dddn?
45/2002
Three letters picked without replacement from {t: 4, m: 1, z: 1, k: 4, y: 1, x: 3}. What is prob of sequence myz?
1/2184
Two letters picked without replacement from {z: 1, y: 2, q: 1, w: 1, k: 4, i: 6}. What is prob of sequence wq?
1/210
Calculate prob of sequence nn when two letters picked without replacement from ninnnninnninnnninnin.
21/38
What is prob of sequence fee when three letters picked without replacement from rettfeeeeeekrebebtb?
4/323
Four letters picked without replacement from vwddvvvvdpvvvvvwdwb. What is prob of sequence wpdw?
1/3876
Two letters picked without replacement from jnijfyd. What is prob of sequence fy?
1/42
What is prob of sequence ueex when four letters picked without replacement from xxxexjuxuuuxxexuxxej?
5/1938
Four letters picked without replacement from {e: 9, d: 3, l: 2, w: 2, s: 1}. What is prob of sequence lwld?
1/4760
Calculate prob of sequence kbzb when four letters picked without replacement from {b: 2, z: 1, r: 1, n: 2, d: 1, k: 2}.
1/756
What is prob of sequence ddmm when four letters picked without replacement from mmmdmmimmddidi?
3/143
Four letters picked without replacement from cdtihghtitcc. Give prob of sequence dtcc.
1/660
What is prob of sequence zrzr when four letters picked without replacement from {z: 2, r: 2, t: 1}?
1/30
What is prob of sequence ld when two letters picked without replacement from {c: 2, l: 1, m: 1, d: 3, r: 3}?
1/30
Calculate prob of sequence oddk when four letters picked without replacement from kvokkovvvkdkgvddkv.
1/1020
Calculate prob of sequence ajg when three letters picked without replacement from {j: 1, v: 3, g: 2, w: 1, a: 4, z: 1}.
1/165
Two letters picked without replacement from {e: 6, o: 1, w: 5, l: 6}. What is prob of sequence ew?
5/51
What is prob of sequence fy when two letters picked without replacement from {y: 2, f: 4}?
4/15
Two letters picked without replacement from fxbfbfhfbfnfhfhxwh. What is prob of sequence xh?
4/153
Three letters picked without replacement from {e: 1, h: 7, y: 5}. What is prob of sequence eyh?
35/1716
Four letters picked without replacement from ppppttptptttttttttt. What is prob of sequence pppt?
65/3876
Four letters picked without replacement from {n: 7, w: 5, l: 7}. Give prob of sequence llln.
245/15504
What is prob of sequence fggf when four letters picked without replacement from {g: 2, f: 7}?
1/36
Calculate prob of sequence kqio when four letters picked without replacement from okioqqqiqoiqqq.
3/1144
What is prob of sequence nn when two letters picked without replacement from entnnetnnntntntn?
3/10
Calculate prob of sequence vycc when four letters picked without replacement from vyvvyvyvyvvvvyycc.
9/4760
Three letters picked without replacement from sbjmmmgsshb. Give prob of sequence hmj.
1/330
Two letters picked without replacement from nokoxnkkkxcokoxckcko. What is prob of sequence xn?
3/190
What is prob of sequence iei when three letters picked without replacement from efqii?
1/30
Two letters picked without replacement from {v: 2, l: 3, b: 3, n: 1, q: 5, y: 1}. What is prob of sequence qv?
1/21
What is prob of sequence bzz when three letters picked without replacement from {z: 2, b: 6}?
1/28
Four letters picked without replacement from {f: 10, p: 4}. Give prob of sequence fffp.
120/1001
Calculate prob of sequence nbbb when four letters picked without replacement from bbbbbbbbbbbbbnbbbbb.
1/19
Four letters picked without replacement from lllldllllddl. What is prob of sequence ddll?
2/55
Two letters picked without replacement from {v: 1, i: 3, p: 1, x: 1, z: 3, d: 2}. Give prob of sequence iz.
9/110
What is prob of sequence tkh when three letters picked without replacement from hkhhhfptfkhhhhhhhr?
11/2448
What is prob of sequence kkvk when four letters picked without replacement from {k: 3, b: 13, v: 2}?
1/6120
Three letters picked without replacement from oamtmmamtoam. Give prob of sequence ata.
1/110
What is prob of sequence fo when two letters picked without replacement from {f: 4, o: 3}?
2/7
What is prob of sequence ru when two letters picked without replacement from rbzuburbulrbbruubtb?
10/171
Calculate prob of sequence ot when two letters picked without replacement from dodtt.
1/10
Two letters picked without replacement from {r: 2, z: 1, e: 9, x: 7}. Give prob of sequence rz.
1/171
What is prob of sequence goo when three letters picked without replacement from {g: 1, o: 5, j: 4}?
1/36
Four letters picked without replacement from {r: 2, c: 10}. Give prob of sequence rccc.
4/33
Four letters picked without replacement from {q: 7, w: 1}. What is prob of sequence qqqw?
1/8
Two letters picked without replacement from {y: 4, e: 2, z: 1, n: 6, f: 3}. Give prob of sequence ff.
1/40
Calculate prob of sequence sl when two letters picked without replacement from {s: 3, o: 1, p: 2, l: 3, i: 2, x: 1}.
3/44
Four letters picked without replacement from {z: 1, d: 1, o: 3, w: 3, e: 3}. What is prob of sequence zooe?
1/440
Three letters picked without replacement from zzzlzlzzzzzzz. Give prob of sequence lzz.
5/39
Three letters picked without replacement from lllxxzxbzlzxlxzbxx. What is prob of sequence zzz?
1/204
Two letters picked without replacement from {d: 5, w: 11}. What is prob of sequence wd?
11/48
Two letters picked without replacement from {v: 1, y: 2, i: 8, w: 1, u: 2}. What is prob of sequence vi?
4/91
Three letters picked without replacement from cvbcydib. Give prob of sequence dbb.
1/168
What is prob of sequence odc when three letters picked without replacement from qeddoqdqqdeqdcqdqeqe?
1/1140
Three letters picked without replacement from qkqktqdqktrtkj. Give prob of sequence tdr.
1/728
What is prob of sequence jqv when three letters picked without replacement from {v: 1, q: 1, j: 5, i: 1, e: 4}?
1/264
Three letters picked without replacement from boobiioobb. Give prob of sequence bbo.
1/15
Calculate prob of sequence xk when | {
"pile_set_name": "DM Mathematics"
} |
k = 3*b + 4*u, -2*u + 10 = -3*b. Suppose b = -0*h + 7*h - 28. Solve -h*j + j - 15 = 0 for j.
-5
Let k = 25 - 22. Let p = -44 + k. Let c = -39 - p. Solve -3*f - c = -2*f for f.
-2
Suppose -3*h - 216 = -3*g, 0 = 3*g + 12*h - 7*h - 200. Let n be 38/5 - (-28)/g. Solve 0 = n*d - 4*d + 8 for d.
-2
Let p = 568 + -564. Suppose 3*o - 41 - 19 = 0. Solve p*b + 0 = o for b.
5
Suppose -4*l + 2*d = -10, 3*l - 124*d + 126*d = -3. Suppose -4*b - 20 = 5*s, 0 = 2*s - b + l - 6. Let x = 8 + -5. Solve x*t + 1 + 11 = s for t.
-4
Let b(q) = 4*q**2 - 51*q + 2. Let t(p) = 8*p**2 - 102*p + 5. Let k(w) = 13*b(w) - 6*t(w). Let m be k(13). Solve 0 = -5*n + m - 14 for n.
-1
Let m(o) = -3*o - 41. Let g be m(-18). Suppose -2*c + 21 = 5*r, -2*c - g = 2*r - 25. Solve -3 + r = f for f.
0
Let x(c) be the second derivative of -7/12*c**4 + 1/2*c**3 + 1/20*c**5 + 20*c + 0 - 8*c**2. Let t be x(7). Solve t = -3*b + 20 for b.
5
Suppose l + 7 = 5*h - 16, l + 5*h - 27 = 0. Solve -17 = -5*x - l for x.
3
Let l(q) = 1 - 2*q + 47*q**2 - 22 - 46*q**2. Let d be l(-4). Solve -5*v + d = -12 for v.
3
Let z(a) = -a**2 - 13*a - 12. Let x be z(-12). Suppose 12*w = 8*w + 12. Suppose -b - 4*h + 5 = 0, -5*b = w*h - 25 - 0. Solve -2*r + b*r = x for r.
0
Let m = 2673 + -2667. Solve -m*v + 2 = 26 for v.
-4
Let c = -574 - -580. Let w be 8/10 + (-44)/(-20). Suppose -r + 0 = -w. Solve -5*m = -r*m + c for m.
-3
Let g(k) = 4*k**2 + 80*k + 162. Let p be g(-2). Solve 64*b - 58*b = -p for b.
-3
Let x be (-3)/15*4 + (-132)/(-165). Let f be 2 - -6 - 0/4. Let g be (10/f)/(2/8). Solve -g*p + x = -20 for p.
4
Let s = -513 - -1158. Let i = 653 - s. Solve 22 = i*q - 18 for q.
5
Let r be ((-12)/(-10))/(3/15). Let g be (-43)/((-5160)/18) + (-819)/(-140). Solve g = -r*p - 0 for p.
-1
Let h(f) = 29*f**2 - 51*f - 4. Let a be h(2). Solve 19*b - a = 14*b for b.
2
Let v be -5 - (-7 - (-750)/40)*-4. Solve 25*q - v = 11*q for q.
3
Suppose 5*z - 11*r + 7*r - 32 = 0, 9 = -3*r. Let t(j) = -2*j**2 + 10*j - 8. Let v be t(z). Solve v = -c + 2*c - 2 for c.
2
Let q = 201 + -194. Let y(i) be the first derivative of i**3/3 - 4*i**2 + 10*i + 2. Let j be y(q). Solve -3 = 3*f + j for f.
-2
Let b(k) = k**3 - 10*k**2 - 9*k - 19. Let u be b(11). Let g be 7/u - (-19)/(-57). Solve -2 = g*j + 4 for j.
-3
Let m(q) = 5*q + 12. Let y be m(-2). Let v(x) = 2*x**2 + 2*x. Let k be v(-3). Suppose 55 = 18*b + 19. Solve -k = -b*g - y for g.
5
Let u = -29 + 81. Let t be 0/(-3 + 4 + 1). Suppose 6*p + 40 - u = t. Solve p*s - 3*s = -2 for s.
2
Suppose 0 = 101*h - 145*h. Solve -18*w + 8*w - 20 = h for w.
-2
Let l be 14118/65 - (-99)/(-45). Solve 3*o + 239 = l for o.
-8
Let d be 1*-6*1/(-2). Let u(v) = -v**3 + 9*v**2 + 40*v + 12. Let a be u(-3). Solve a = -c - d - 2 for c.
-5
Let x = -34 - -42. Suppose 2737 + 2859 = -18*a + 5722. Solve 5*k = x + a for k.
3
Suppose -139 = 6*m - 193. Solve m*d = 4*d - 12*d for d.
0
Let y(l) = l**2 + 3*l - 3. Let r be y(2). Suppose -5*z + 2*n + 71 = 0, z + 0*n = 4*n + 7. Solve r*x - z = 12*x for x.
-3
Suppose 3*j - 10 = t, 0 = -j + 71*t - 75*t + 12. Suppose u = 3 + 3. Solve -j*b + 2 + u = 0 for b.
2
Suppose -242*z + 29*z + 19176 = -2550. Solve 3*y - 123 = -z for y.
7
Suppose q + 15 = 5*y, 3*y - 4 - 5 = -q. Suppose 14*d - 144 = 2*d. Solve y*i + i = d for i.
3
Suppose 4*h - 179 = -5*s, -3*s = -3*h + 97 + 71. Solve -h*b + 125 = -28 for b.
3
Let r = 15 + -38. Let j = r - -40. Solve 0 = 5*z + j - 2 for z.
-3
Suppose -65*u + 1980 = -1985. Solve u - 21 = -8*i for i.
-5
Let w(a) = a + 4*a**2 - 7*a + a - 2*a**2 - 8 - a**2. Let o be w(7). Solve o*h = -11 - 7 for h.
-3
Let l be (-10)/(-4) + (-2)/4. Suppose 0 = -2*c + 2*b - 2, 0 = -l*c + 4*b - 4. Suppose c = -x - 3*u + u + 3, 3*x - 20 = 5*u. Solve -t + x*t = 0 for t.
0
Suppose -3*h + 5*x + 8 = -16, -27 = -5*h + 4*x. Let c be ((-4)/(-4) - 3/1)/(-1). Solve 4*f - c = h*f for f.
2
Let p = -406 - -412. Suppose -p = -2*v - 4*i, 5*i = -v - 2*v + 9. Solve v*f = -3 - 9 for f.
-4
Let l = 5902 - 5881. Solve l*s - 18 = 15*s for s.
3
Let x = -1009 + 1009. Solve 5*w + 57 - 62 = x for w.
1
Let x(n) = n**2 + n + 1. Let z be x(3). Let b = z + -8. Let g(f) = f**3 + 42*f**2 - 351*f + 379. Let k be g(6). Solve b = 2*v + k for v.
2
Suppose -54*y + 51*y + 27 = 0. Suppose -3*t + 3*v + 27 = 0, 5*t + 2*v + 40 = y*t. Solve 2*s - t + 3 = 0 for s.
4
Let i(h) = -2*h**2 + 6*h. Let o be i(6). Suppose -5*s + 4*s + q - 40 = 0, 3*s + 124 = 5*q. Let v = o - s. Solve j = -v*j + 15 for j.
5
Let j(k) = k**2 + 114*k + 1139. Let n be j(-103). Solve 3*f = n*f for f.
0
Suppose -3*c + 31 = 5*o, -2*c = 3*c - o - 5. Let k(y) = -y**2 + 65*y - 590. Let t be k(11). Solve 6 = t*v - c for v.
2
Let o = -131 - -130. Let h be (-8 + 3)*(32/(-20) + o). Solve -10 = -15*s + h*s for s.
5
Suppose 4488 = 259*t - 72*t. Solve t*s - 60 = -12 for s.
2
Suppose -131*k + 101*k + 4104 = 141*k. Solve 0 = -14*r - k*r - 228 for r.
-6
Suppose 752 = 49*b - 81. Solve -b = 13*q + 48 for q.
-5
Let h = 5718 - 5718. Solve 9*o + 7 + 47 = h for o.
-6
Let d be -13 + (5 - (4 - 2)). Let x be (d + 100/8)*14/5. Solve x*i + 24 - 3 = 0 for i.
-3
Suppose 0*a - 2 = -2*a. Let n be 2/(-8) - 174/(-24). Suppose -n = -2*x + 1. Solve a = -5*u - x for u.
-1
Let o = 4584 - 4584. Solve -20*g - 12*g + 32 = o for g.
1
Suppose -11069*g + 11068*g = -2. Let f be 3/(-2)*-1*2. Suppose 6 = -s - f*s + g*r, 3*r - 9 = -5*s. Solve 2*d + 0 - 2 = s for d.
1
Suppose -25*r - 112 = -32*r. Suppose 0 = 29*x - r*x. Solve -3*j + x*j = -6 for j.
2
Let n = -3712 - -4180. Solve 477*s - n*s + 45 = 0 for s.
-5
Suppose 20 = 2*k + 5*m, 30 = -0*k + 3*k - 3*m. Suppose -k*a + 12*a = 0. Let g(c) = -c**3 - c**2 - c + 6. Let w be g(a). Solve -4*x - w = -x for x.
-2
Let j = -11763 + 11817. Solve -20*t + j = 14 for t.
2
Suppose -5*u - 10*d + 5*d + 110 = 0, 0 = 3*u - 2*d - 56. Solve -55*y = -59*y - u for y.
-5
Suppose 2*g = 5*n + 3*g - 100, 5*n - 100 = 5*g. Let q(k) = 3*k**2 + 26*k - 8. Let a be q(-9). Suppose y = a, -4*y + 1 = 4*x - 3. Solve x = 5*h + n for h.
-4
Suppose s - 24 = -4*s + j, 0 = 4*s - 5*j - 36. Suppose -3*u = -6, -10 + 35 = 3*t + 5*u. Suppose 0 = -t*x + 22 + 18. Solve 8 = s*f - x for f.
4
Let o(x) be the third derivative of 55*x**4/24 + 95*x**3/3 + 3*x**2 + 4*x. Let f be o(-3). Solve -f = 5*j - 15 for j.
-2
Suppose 2*t - 6*b = -2*b + 82, -3*b - 34 = -t. Solve t*u = 42*u - 65 for u.
-5
Let o be 5772/96 - (2 - 15/8). Let t = 65 - o. Suppose -4 = 4*s, 2*j + 7*s - 5 = 4*s. Solve 0 = -j*a + 3*a - t for a.
-5
Let t(n) = n**3 - 2*n**2 + n + 2. Suppose 2*h - 5 = x, -3*x - 4 = 5*h - 0*h. Let m be (h - 17)/(-4) + 4/(-2). Let b be t(m). Solve -b = -2*j - 0*j for j.
2
Suppose -4*t - 3*n = -109, 2*t + 0*n - 52 = -4*n. Suppose t*w = 23*w. Solve -3*b + 8 - 14 = w for b.
-2
Let x be ((-16)/28)/((-36)/126). Suppose -5*v + 11 = -9, 0 = -2*t + 4*v + 18. Suppose -2*c = -27 + t. Solve -x = 4*u - c*u for u.
2
Suppose 124 = 8*o + 92. Let w be 10*(-5)/(-175)*7. Solve -w*y + 4 + o = 0 for y.
4
Suppose 0 = -30*v + 5883 + 1527. Suppose -v = -26*n - 65. Solve -n*k + 6*k + 1 = 0 for k.
1
Let i be (-42)/98*(-21)/18*0. Suppose 0*q - 5*q = -50. Let y = -6 + q. Solve 4 = -i*j - y*j for j.
-1
Suppose 41*k - 43*k + 12 = 0. Suppose 7*v + 15 = k*v. Let z be (-1)/5 - (-4 + (-57)/v). Solve z = -t - 3*t + 12 for t.
3
Let v(r) = -81*r - 797. Let t be v(-10). Solve 37 = -10*z - t for z.
-5
Let t = 398 - 394. Let z(l) = l**3 + 4*l**2 - 6*l + 4. Suppose 3*n + 25 = -2*n. Let o be z(n). Solve -5*k = -o*k + t for k.
1
Let f be 50/(-5)*(-1)/2. Suppose -h = 3*h + 148. Let v be (1 + 3/2)/(h/(-74)). Solve 0*t = v*t + f for t.
-1
Let d be 0*(7 - 8)/(-1). Suppose 1 = -s + q, 15 = 3*s - d*s + 3*q. Solve -6 = -2*u - s for u.
2
Let l = 22681 + -22563. Solve -14 = l*o - 104*o for o.
-1
Let x = -23616 - -23652. Solve 0 = -106*a + 115*a - x for a.
4
Suppose -21*r + 8*r = -637. Let n = 54 - r. Solve n*s = -0*s - 5 for s.
-1
Let i(g) = 14*g**2 + 4*g - 4. Let k be i(2). Suppose 8*x - k = -20. Suppose -p - x = -2*p + u, -u = 2*p - 7. Solve -c = -p*c for c.
0
Let n(a) = a**2 - 4*a - 3. Let c be n(5). Suppose -5*j = c - 7, 8 = 2*v - 2*j. Suppose v*w = 2*x + 55, 3*x = -0*x - 15. Solve -5*u = w + 6 for u.
-3
Suppose -6 = 2*a - f, -2*a + 5*f - 3 = 11. Let k be ((-6)/a)/(99/132). Solve -3*g + 5 = -k*g for g.
-5
Let r(i) = 3*i**2 + 35*i - 33. Let q be r(-13). Solve -2*j - 5 | {
"pile_set_name": "DM Mathematics"
} |
- 12, -2*k = 3*f + 8 + 1 for f.
-5
Solve 2*h - 2 = v, 32*v = -2*h + 35*v + 6 for h.
0
Solve 8*a - 3*a + g - 25 = 0, 3*g = a + 11 for a.
4
Solve -2*y + 4 = -3*z, -5*y - 24 = -z + 2*z for z.
-4
Solve -5*i - 157 = 2*u - 128, u = -3*i - 17 for i.
-5
Solve 4*x = 274*l - 269*l + 37, 3*l + 4*x = -3 for l.
-5
Solve h = d - 3, 1 + 3 = 2*d for h.
-1
Solve 3*l - 4*a - 2 = -19, 0 = 2*l + 2*a + 2 for l.
-3
Solve -n + 15 = 4*n + 5*g, -2*n = -5*g + 15 for n.
0
Solve f = -4*c + 13, 0 = -2*c - 3*f - 28 + 27 for c.
4
Solve o - j - 2*j = -11, 0 = -4*j + 12 for o.
-2
Solve 2*j = 2*s, 3*s + 5*j = 3*s for s.
0
Solve 0 = -j + 5, 0*j + 6 = -d + j for d.
-1
Solve -u - 23 = 5*x, -57*x + 59*x + 4 = -3*u for u.
2
Solve 3*w + 2*n + 20 = 6*w, -w + 2*n + 12 = 0 for w.
4
Solve 2*x + k = 0, 3*k = -3*x + k - 1 for x.
1
Solve 12*y = -3*o + 11*y + 7, 0 = 4*y - 16 for o.
1
Solve 3*c - s + 5 = 0, -2*c + 5*s - 2*s = 1 for c.
-2
Solve -4*n - 17 = 3*g, 2*g + 4*n + 12 = -6 for g.
1
Solve 4*z - 3*p = 5*z + 9, -6 = 4*z + 2*p for z.
0
Solve m - 8 = -m, g = -2*m + 12 for g.
4
Solve -3*k + 7*c - 12*c + 7 = 0, -2*c = 5*k + 1 for k.
-1
Solve 4*o - 19*v + 16*v = 3, -3*o + 4*v - 3 = 0 for o.
3
Solve 5*t - 8*t + q = 8, 5*q = 25 for t.
-1
Solve 43*i + 5*s = 42*i - 24, -3*s - 10 = 5*i for i.
1
Solve 4*q = p + 4, -p - 2*p - 12 = -5*q for q.
0
Solve -3*l + 6*g - 8 = 4*g, 2*l = g - 3 for l.
2
Solve 3*r = 3*a + 12 - 21, 3*r - 6 = -2*a for a.
3
Solve -l = 5*p + 4, 3*l + 3*p + 9 + 3 = 0 for l.
-4
Solve 13 = 3*s + 4*i, -2*s - 2*i = -8 + 2 for s.
-1
Solve 5*o + 4*v + 5 = 0, 5*o + 11 = v + 31 for o.
3
Solve -15 = 5*a, -84 = -5*g - 4*a - 96 for g.
0
Solve -d - 6 = -4*a, -5*a - 2 = -3*d - 6 for d.
2
Solve 22*g - 20 = t + 27*g, -4*g - 5 = 3*t for t.
5
Solve 0 = -4*b - y - y, 3*b + 2 = -y for b.
-2
Solve -5*o = -15, -7*o - 10 = w - 10*o for w.
-1
Solve -2*i = 5*d + 4, -4*d - 2*i - i = -1 for d.
-2
Solve 0 = -2*a + 4*o, 4*a - 3*o + 20 = 15 for a.
-2
Solve t - 8*l + 3 = -13*l, 2*t = -3*l - 6 for t.
-3
Solve 0 = 5*v + 4*h - 4 - 3, -2*v + 10 = 4*h for v.
-1
Solve 12 = -2*t + 4*t - 4*n, -n = -3*t + 3 for t.
0
Solve -3*l = g + 22 - 13, -2*g = -4*l - 12 for l.
-3
Solve 2*u + 20 = -2*w, -3*w + 0*u = 4*u + 35 for w.
-5
Solve 4*i = v + 20, -3*v = -i - 2*v + 8 for i.
4
Solve -3*d = -8*a + 5*a - 27, -5*a - 2*d = 10 for a.
-4
Solve 0 = 2*v + 3*p + 10, -4*v + 9*v - 21 = 4*p for v.
1
Solve 7*p - 4*d = 3*p, 0 = -p - 3*d - 8 for p.
-2
Solve -4*j - 5*x + 16 = -x, j = -5*x + 24 for j.
-1
Solve 56*i - 51*i + 23 = -h, -3*h + 21 = -3*i for h.
2
Solve 2*x = -4*h + 7*h - 9, 0 = 2*h - 3*x - 11 for h.
1
Solve 0 = -4*s + 3*x + 39, -s + 119*x - 118*x + 11 = 0 for s.
6
Solve -3*g + 5 = 5*d, 5*g - 3*g = 4*d + 18 for g.
5
Solve -1 = 4*k + 84*w - 79*w, -12 = -4*w for k.
-4
Solve 4*q + 2 = -3*m - 1, 0 = q for m.
-1
Solve -7*k - 80 = -5*o, -51 = 4*k - k - 4*o for k.
-5
Solve -3*m - 13 = -2*v - 2*v, -m + v = 4 for m.
-3
Solve 0 = k - 3, -5*k + 9 = 4*w + 6 for w.
-3
Solve -v = -4*j - 14, -j = -v + 2 - 0 for v.
-2
Solve -3*h + 4*d + 3 = 3*d, -4*d - 12 = 2*h for h.
0
Solve -x - 8*f + 4*f - 5 = 0, x + f = -2 for x.
-1
Solve 0 = -5*c + 4*z - 8, 13*z = -3*c + 10*z - 21 for c.
-4
Solve -5*c - 29 = -4*u, -5*c + 19 = 6*u - 2*u for c.
-1
Solve -26 = -4*v + 2*x, v - 2 = -3*x + 2*x for v.
5
Solve 0 = 3*n - 3*w + 3, 0 = 2*n + 3*n + 4*w - 13 for n.
1
Solve t + 6 = -3*o - 10, 5*t + 16 = o for t.
-4
Solve -3*r + j - 6 = 0, -4*r - j + 2 = 10 for r.
-2
Solve 5*p - 3 + 9 = 4*o, -2*p = 8*o + 12 for p.
-2
Solve -4*d + 16 = 0, -15*o = -19*o - d for o.
-1
Solve -71*i = 3*p - 72*i + 14, 12 = -4*p - 2*i for p.
-4
Solve 3*u = -5*o + 2*o + 12, 3*u - 4*o = 5 for u.
3
Solve 0*l + l - 4*s = -20, -20 = 5*l - 4*s for l.
0
Solve -3*f - 7*u = -10*u - 18, f - 2*u = 10 for f.
2
Solve -3*k = 4*t + 2, 0*k = 2*k - 4 for t.
-2
Solve 3*k - 14 = a, 5*a - 4*a = -4*k + 14 for k.
4
Solve 0 = 3*n - 4*t + 4, n - 3*n - 2 = -2*t for n.
0
Solve -4*p = 5*s - 13, 4*p - 3*p - 1 = s for p.
2
Solve -9*z + 13*z = -3*y - 8, 3*z - 2*y + 23 = 0 for z.
-5
Solve -4*a - 20 = -5*h, -5*h - 10 = 2*a - 0*a for a.
-5
Solve -4*v + d = 6*d - 9, -2*v - 4*d = -6 for v.
1
Solve 5*q + 6 = -5*f - 24, -3*q + 2*f - 8 = 0 for q.
-4
Solve 2*x = -3*b + 14, -10 = x - 2*b - 3 for x.
1
Solve -9 = -3*d + 3, 4*b = -2*d + 8 for b.
0
Solve -31*y = w - 26*y + 8, -3*w = 2*y + 11 for w.
-3
Solve 0 = 2*k + 3*b - 8, -3*b - 2*b + 20 = 0 for k.
-2
Solve 5*x = a - 23 + 3, 4 = -x + 2*a for x.
-4
Solve 5*a - f - 3*f + 9 = 0, 0 = 5*a - 2*f + 7 for a.
-1
Solve 3*f - 3*l = 27, f - 2*f + 17 = -3*l for f.
5
Solve -6*y - 24 = -3*l - 2*y, -5*y = 5*l - 5 for l.
4
Solve 2*m = -5*h + 6, -3*h - 4 = 5*m - 0*h for m.
-2
Solve d + 6 = 2*n, n = -5*d + 6*d + 4 for n.
2
Solve 4*f + 2 + 2 = -b, -2*b + 14 = -3*f for b.
4
Solve -m = 4*c + 10, c - 19 = 6*c - 2*m for c.
-3
Solve -f + 9 = 3*g, -4*f = -5*f - g - 1 for f.
-6
Solve 0 = -f - 3*s - 8, -4*f - 4*s = s + 4 for f.
4
Solve -11 = 3*w + r, -w - 6*r = -5*r + 7 for w.
-2
Solve -3 = 3*u - 3*g, -2*u + g = 14 - 17 for u.
4
Solve 5*x = 3*v - 41, x = 4*x + 2*v + 17 for x.
-7
Solve 25*m - 22*m = -4*s - 29, 2*s = 3*m - 1 for m.
-3
Solve -4*d + 9 = -c - 7, -9 = -c - d for c.
4
Solve 5*i = 2*j + 4*i - 7, j - 3*i = 6 for j.
3
Solve -25 = -0*g - 5*g - 2*l, 2*l = 10 for g.
3
Solve 3*k + 0*k - z = -7, -6 = 3*z for k.
-3
Solve 0 = 3*o + 3*x - 6, -7 + 2 = 2*o - x for o.
-1
Solve 5*q - n = 25, 2*q + 3*n + 12 - 39 = 0 for q.
6
Solve -13 = j - 3*f, 0 = 3*j - f + 5*f for j.
-4
Solve 2*a - 22 = 3*d - 26, a = -2 for d.
0
Solve -s + 3*a - 16 = -8, -a + 1 = 0 for s.
-5
Solve -2*l + 20 = n + 29, -5*n - 21 = 4*l for l.
-4
Solve 3*a + 25 = 5*m, -22 = -3*a - 37 for m.
2
Solve -2*p - 2*a + 6 = 0, -p - 21 = -5*p + 5*a for p.
4
Solve -59*v + 54*v - 40 = 4*z, 3*v + 7 = z for v.
-4
Solve -11 = 5*l - 5*r - 46, 5*l - 23 = 2*r for l.
3
Solve 5*y = h + 6*y - 7, 3*h + 4*y - 23 = 0 for h.
5
Solve 2*o + 6 = -n, -7*n = 4*o - 10*n + 2 for o.
-2
Solve 5*n + 4*o = o - 10, 2*n - 4*o + 30 = 0 for n.
-5
Solve 6*t - l = 5*t, -t - 4*l = -25 for t.
5
Solve -4*h = 5*s + 36, 0 = -2*s - 0*s - 8 for h.
-4
Solve v + 20 = -5*w - 3*v, -4*v = -2*w - 36 for w.
-8
Solve -24 = 3*x - 3*s, 4*s - 33 = 2*x - 11 for x.
-5
Solve 4*c = -8, -14*l + 10 = -13*l - 3*c for l.
4
Solve -3*v = -5*f + 4, 0*f - 3*v - 11 = 2*f for f.
-1
Solve 2*c - 182 = r - 188, -5*r + 3*c = -2 for r.
-2
Solve 0 = -5*m + 11*w + 64, w = m + 48 - 56 for m.
4
Solve 3*n - 4*b - 13 = 0, -4*n + 2*b = 5*b - 9 for n.
3
Solve -2*b - 7 = -5*d, -6*b - 2*d = -b + 3 for b.
-1
Solve 14*m - 4*z - 16 = 17*m, -3*z - 37 = -4*m for m.
4
Solve -39*a = -34*a - 5*i - 35, -5*i - 7 = 2*a for a.
4
Solve 15 = 10*f - 12*f - y, 4*f - 5*y - 5 = 0 for f.
-5
Solve 436*x - 5*j = 438*x + 8, 2*j = -4*x for x.
1
Solve -4*b - r + 2 = 0, -2*b + 5*b = -3*r - 3 for b.
1
Solve 3*g = 4*k - 18, -4*k - 5*g - 3 = -5 for k.
3
Solve d - 3*c + 11 = 0, -1 = -6*d + 9*d - c for d.
1
Solve 23 = -2*y - 72*j + 77*j, 33 = -4*y - 3*j for y.
-9
Solve 10 = c - 5*v, 109*c = 106*c - v - 18 for c.
-5
Solve -5*o + 2*p = -4, -92*o + 21 = -89*o + 5*p for o.
2
Solve -3*m + 6 - 28 = -2*b, -5*m = 2*b + 10 for b.
5
Solve 5*n = 25, t + 4*n - 20 = -2*t for t.
0
Solve -4*y = 8, 0*q - 14 = -2*q + 5*y for q.
2
Solve 23 - 48 = -w + 5*g, -4*w - 2*g = -12 for w.
5
Solve 4*h = -w + 7*h - 11, 4*h = 16 for w.
1
Solve -3*p = -2*n + 13, -11 = 29*n - 33*n + p for n.
2
Solve 0 = -j - 5, -26*q + j - 5 = -31*q for q.
2
Solve -40 = i - 3*o - 57, 4*i = -5*o for i.
5
Solve -3*w + 3*o - 8 = 2*w, 4*w = 4*o for w.
-4
Solve -a = 4*o - 8, -3*a - 13 = -o - 11 for a.
0
Solve y + 4*y - 5*c = -25, 2*c - 14 = 4*y for y.
-2
Solve 1923*l = 1919*l - 3*r - 7, 3*l + 9 = -r for l.
-4
Solve -2*n = i - 15 + 7, 2*n + 2*i = 6 for n.
5
Solve 30 = -2*g + 4*t, -149*t + 145*t = -20 for g.
-5
Solve -7*k + 3*k - 14 = 3*r, -3*r + 2*k + 16 = 0 for r.
2
Solve 0 = -4*n + 3*m - 15, -10*m = 3*n - 12*m + 12 for n.
-6
Solve -5*l - 5 = 0, -d + 54 - 56 = 2*l for d.
0
Solve -i - 5*a + 12 = -3, -20 = -5*a for i.
-5
Solve 2 = n + 2*o, -60 + 58 = -o for n.
-2
Solve 2*i + 3 = m, -2*m - 5*i - 9 = -6 for m.
1
Solve 5*z + 0*c = 5*c + 5, 0 = 3*z + 4*c - 17 for z.
3
Solve 2*u + 2 - 4 = 2*n, 4*n = 0 for u.
1
Solve -3*p = 6*c - 33, c + 2 = 7 for p.
1
Solve 5*n + 7 = r - 3, -r + 4*n = -7 for r.
-5
Solve 2*w + 2 = -2*r + 8, -2* | {
"pile_set_name": "DM Mathematics"
} |
, -1/2?
-0.31
What is the closest to 0.2 in 9295, -9, 1/4, 19?
1/4
Which is the nearest to -0.6? (a) -2 (b) -920/9 (c) 0.07 (d) 12
c
What is the closest to -0.3 in 0.3, 24.5, -10/47, 4/5?
-10/47
What is the nearest to -2.93 in -0.6, 5, -525?
-0.6
Which is the closest to 608/59? (a) 5 (b) -3/5 (c) -3
a
What is the nearest to 5738.4 in -3, 0.09, -0.3, -4?
0.09
What is the nearest to 1/45 in -21, 19, -106?
19
Which is the nearest to 6/61? (a) 37 (b) 0.224 (c) -0.1
b
Which is the closest to 24/5? (a) -1/3 (b) 2/459 (c) 5 (d) -2 (e) -49
c
What is the nearest to 696535 in 4, -3, 0.5, -4?
4
What is the nearest to -59 in -9, -2, 3/4, -0.38, -0.02, 5?
-9
What is the nearest to -56 in 22029, -4, 2?
-4
Which is the nearest to 1/10? (a) 1/32 (b) 1/40 (c) 8 (d) 74 (e) -3/4
a
What is the nearest to -1/3 in -5/6, 0.5, 1, 36?
-5/6
Which is the closest to -10362? (a) -1 (b) -4/3 (c) 2/823 (d) 1/4
b
What is the nearest to -40421 in -3/2, -1/5, -1/3?
-3/2
What is the nearest to -176 in 2/7, 0.03, -26, 1?
-26
What is the closest to -300556 in 2/7, 0, -2/37?
-2/37
Which is the closest to -1040? (a) -17 (b) 1/2 (c) 1/5 (d) -1/7
a
Which is the closest to 1? (a) 5 (b) -9 (c) -0.15 (d) -3/124
d
What is the nearest to 1/3 in -136344/7, -0.4, -64?
-0.4
What is the nearest to -19 in 338, 5, -1499?
5
Which is the nearest to 2? (a) 0.1 (b) 2449 (c) -2 (d) -9 (e) 1.4
e
Which is the closest to -1? (a) -5 (b) -0.9 (c) 1/2 (d) 5822/3
b
Which is the closest to 1393? (a) 0.06 (b) 46 (c) 3 (d) -1/3
b
What is the closest to 14 in 13/2, -6698, -5, 4, -0.2?
13/2
What is the nearest to -0.1 in 1.714, -1/5, -1038.5?
-1/5
What is the closest to 1/4 in 2, -27/4, -3, -6, 145?
2
Which is the closest to 1? (a) -311 (b) 3 (c) 5 (d) -0.1 (e) -73 (f) 9/10
f
Which is the nearest to -3.909? (a) -4/3 (b) -4 (c) -0.5 (d) 1742 (e) -0.1
b
What is the nearest to -0.2 in 0.054, -71038, 0.3, -3, 5?
0.054
Which is the closest to 50928? (a) -3/7 (b) -0.3 (c) 2/9
c
Which is the nearest to -3? (a) -60 (b) -147 (c) 2 (d) 8
c
Which is the nearest to -0.1? (a) 2/7 (b) -0.56 (c) 1926/11 (d) 4/13
a
What is the nearest to -7 in -3, -30, -7, -39, -5/3, 4?
-7
What is the closest to 4/3 in -4328, 1/4, -15?
1/4
Which is the nearest to 1/9? (a) -26 (b) 1/10 (c) -5 (d) 51/2
b
What is the nearest to -4 in 12, -761.7, 6/7, -16?
6/7
Which is the nearest to 0.050497? (a) 123/4 (b) -4/3 (c) 4 (d) -0.5
d
What is the closest to -2 in 6316/19, 2/5, 1, 5, 0.2?
0.2
Which is the nearest to 1? (a) -9.17 (b) -1/14 (c) 0.1 (d) 2.8
c
What is the closest to 0.9 in -6, 3, -0.5, -5, -92, -50?
-0.5
Which is the closest to -4484? (a) -0.4 (b) 0.4 (c) -2618
c
Which is the closest to -1? (a) 1.5 (b) 9.394 (c) -0.01 (d) 19
c
Which is the nearest to -1? (a) 631 (b) 2/7 (c) -11/6
c
What is the closest to -230/601 in 0.3, -5, 2/209?
2/209
Which is the nearest to -2969? (a) -0.042 (b) -7 (c) 2/5 (d) 1/6
b
What is the closest to -1 in 179, 10, -1/5, 0.553, -3?
-1/5
What is the nearest to 20/7 in 76, -0.5, 1/7, -4, 0.4?
0.4
Which is the nearest to -1? (a) -4 (b) 2/21 (c) 308/3 (d) 4.7 (e) -23 (f) -2/15
f
What is the closest to -16 in -4, 2, 116, 11, -0.7, -3?
-4
What is the nearest to 1 in 1/5, -0.2, -0.1, -0.4, 2/114845?
1/5
What is the nearest to -1 in 4, -0.5, 0.4, 62, 1/39?
-0.5
What is the nearest to 3952/5 in 220, -1, -4/3?
220
What is the closest to 135 in -1/2, 4, 504/197, -2/9, 2/11?
4
What is the nearest to 28.35 in -10, 3/5, -34?
3/5
Which is the closest to 201? (a) -4 (b) 0.3 (c) 829.22
b
What is the nearest to 1 in 183, 5, 41, -2.3?
-2.3
Which is the nearest to -0.1? (a) 21 (b) -1/3 (c) -2.061
b
Which is the closest to 3/25? (a) 2 (b) 1/391041 (c) -1/3
b
What is the closest to -1 in -0.219, -26, 6, 2, -3?
-0.219
Which is the nearest to -0.1? (a) -282 (b) -34.67 (c) 3 (d) 5
c
What is the closest to 0.1 in -0.3, -37.1, -0.48, 0.11, 0.3, -1/2?
0.11
What is the nearest to -230 in -2/7, 1067, 2/9, 0, 0.05, -1/24?
-2/7
What is the nearest to 0 in -0.4, 134, 21, 0.412?
-0.4
What is the closest to 24/5 in -1, 43, 6009, 9, -5?
9
Which is the closest to -3/41? (a) 0.11 (b) -546 (c) 0
c
What is the nearest to -61/29 in 3, -2/5, 1/3, -11/5, -1/5, -8?
-11/5
What is the closest to -125 in 997, 0.3, 2/5, 2?
0.3
What is the nearest to -13/3 in 4, -239, 2/1889?
2/1889
Which is the nearest to -57? (a) -3 (b) 145.3 (c) 1/3 (d) 2
a
Which is the nearest to -2? (a) -3 (b) -38 (c) 25/11 (d) -0.2 (e) 215
a
What is the closest to 0.1 in 0.5, 1.2, -4/17, 7, -2/7, -1/70?
-1/70
What is the closest to 0.9 in 5, 3, -0.09, 1, -1/21, 221/4?
1
What is the closest to 22035 in 63/13, 2, 2/5?
63/13
Which is the closest to -0.0152? (a) -6 (b) 1/2 (c) 5 (d) -2/21 (e) -0.2
d
Which is the nearest to -3/8? (a) 0.18 (b) 0.32 (c) -0.1 (d) -1/22 (e) -2 (f) 1
c
Which is the closest to -0.2? (a) -71 (b) 0.2 (c) 2.4 (d) -19
b
Which is the nearest to 1/110? (a) -66 (b) 0.02 (c) 0.09 (d) -4
b
Which is the nearest to 3/22? (a) 3/8 (b) 6 (c) 0.2 (d) 2/137 (e) -1/6
c
Which is the closest to 4? (a) 3 (b) -8/1477 (c) 2.1
a
What is the nearest to 2 in 1655, -0.09, -14, 0.2, -1/4?
0.2
Which is the nearest to 1? (a) 0.3 (b) -1/2 (c) -1/4 (d) -5 (e) -3.7 (f) -322
a
Which is the closest to -2/85? (a) -44 (b) -1/2 (c) 38 (d) -6
b
What is the closest to 11.147 in 8, 9, 2/3?
9
Which is the nearest to -5? (a) 1/9 (b) -0.1 (c) 0.05 (d) 1486 (e) 33 (f) 0.2
b
Which is the closest to 1/4? (a) -0.16 (b) 1/3 (c) -5.69 (d) 1.1
b
Which is the closest to 2? (a) 1/7 (b) 0.1 (c) 5 (d) 1136 (e) 13/9
e
Which is the closest to -2/3? (a) -11/3 (b) -4235 (c) 23
a
Which is the nearest to 0.1? (a) 3.9 (b) -4 (c) 6.86 (d) -1
d
What is the closest to -2/13 in 0.2, -454/33, -5/16, -4?
-5/16
Which is the nearest to -1? (a) 0 (b) -0.22 (c) 3 (d) 10 (e) -0.03 (f) -4/35
b
Which is the nearest to -0.009? (a) 0 (b) -5 (c) -371760
a
What is the closest to 0.1 in -6, 132, 30, -149?
-6
What is the closest to 0.14 in -2, -0.3, -0.006, -3/4, 17?
-0.006
Which is the closest to 0.05? (a) 11 (b) -1.47 (c) -1 (d) -2/3 (e) 2/19 (f) -1.7
e
Which is the nearest to 3/3446? (a) 0.3 (b) 3 (c) 0.08 (d) -2/7 (e) 5
c
What is the closest to 0 in 0.3, -0.5, -28547, 3, -51?
0.3
Which is the nearest to 1.37? (a) -0.4 (b) 979 (c) -1.5
a
Which is the nearest to -13? (a) 1 (b) 1/2 (c) -0.3 (d) -26/9 (e) 94
d
What is the nearest to 0.1 in -1, 4, -3.724?
-1
What is the nearest to 2/5 in -3/4, -77.943, -1, -28?
-3/4
What is the closest to -1/3 in -1/6, 194, 5, -0.6, 29/6?
-1/6
Which is the nearest to 0.5? (a) -39/40 (b) -5 (c) 0.3 (d) -1/2 (e) -1/7 (f) 126
c
Which is the nearest to 0.088? (a) 0.7 (b) -17 (c) 3/2 (d) 0.1 (e) 4 (f) -3/2
d
Which is the nearest to 38? (a) -0.3 (b) -0.4 (c) 543.1 (d) 0 (e) -0.16
d
What is the closest to -0.4 in -1/6, 1229/3, 0.03, 19, 0.4?
-1/6
What is the closest to -18 in -1/4, 0.4, 1/323, -2/21, 0.02?
-1/4
What is the closest to 2/7 in 2/145, -29, -0.1, -3?
2/145
What is the nearest to 0.06 in -1/12, 0.09, -0.9, -1/2, -5?
0.09
What is the closest to 0.07 in -2/7, 0.099, 2100, -1/5?
0.099
Which is the closest to -22? (a) -0.3 (b) 0.8 (c) -33/7 (d) -2/21 (e) -48.7
c
What is the nearest to 1 in -0.08, -6/11, -1/85, 56?
-1/85
Which is the closest to 1.6? (a) 5 (b) -5270 (c) -71
a
What is the closest to 3180 in -0.5, -22, 16, 1/6, -3?
16
Which is the closest to -1? (a) -62 (b) 0.3 (c) 263/69 (d) 1/11 (e) 0
e
Which is the closest to -412? (a) -1/2 (b) 7 (c) -4 (d) -1/3 (e) -1/8 (f) 0.03
c
What is the closest to -0.1 in -2, -239/3, -5/4, 5, -125?
-5/4
Which is the closest to 0.2? (a) -3 (b) 31 (c) 6840 (d) 3 (e) -2/3
e
Which is the closest to 4? (a) -4 (b) 0.60796 (c) 0.4 (d) -1.5
b
Which is the nearest to 23? (a) 0.07 (b) 5301 (c) -3 (d) -2/5 (e) 3
e
What is the nearest to 3170 in 12, 10, 1/5, 0.25, 4?
12
Which is the closest to -15? (a) 1/13 (b) 3 (c) 11.7 (d) 1
a
Which is the closest to -1? (a) -7.099 (b) 0.1 (c) 2/65
c
What is the closest to 12/5 in 5, -1, 3/1399, 0.5?
0.5
What is the closest to 0.012526 in 0, 8, -3/5, -4?
0
Which is the nearest to 2? | {
"pile_set_name": "DM Mathematics"
} |
e prob of sequence vn.
1/8
What is prob of sequence nob when three letters picked without replacement from bnrnrlnbnbonrlln?
3/560
Three letters picked without replacement from {v: 6, g: 6, s: 2, q: 2, f: 1}. Give prob of sequence vfg.
3/340
What is prob of sequence ts when two letters picked without replacement from {t: 2, s: 1, v: 1}?
1/6
What is prob of sequence ezu when three letters picked without replacement from {d: 1, e: 5, u: 1, r: 5, z: 1, l: 1}?
5/2184
Four letters picked without replacement from jdhxz. What is prob of sequence hxjd?
1/120
What is prob of sequence sd when two letters picked without replacement from msmvsdmmmdsdmsdmvo?
8/153
What is prob of sequence jcat when four letters picked without replacement from {a: 2, k: 1, t: 2, c: 1, j: 2}?
1/210
Calculate prob of sequence qwq when three letters picked without replacement from {q: 4, w: 7}.
14/165
Calculate prob of sequence av when two letters picked without replacement from vavvavaaaaa.
14/55
Two letters picked without replacement from dpvvp. What is prob of sequence pp?
1/10
Three letters picked without replacement from {w: 1, p: 2, c: 1, k: 2, t: 1, n: 1}. Give prob of sequence pnk.
1/84
Two letters picked without replacement from {y: 3, k: 6, e: 1, h: 2, m: 3}. Give prob of sequence kk.
1/7
Two letters picked without replacement from {y: 6, d: 2, z: 1, j: 3, q: 4}. Give prob of sequence dq.
1/30
What is prob of sequence add when three letters picked without replacement from {a: 4, x: 3, d: 13}?
26/285
Two letters picked without replacement from {n: 6, w: 4, k: 5, o: 1}. Give prob of sequence ow.
1/60
Two letters picked without replacement from {c: 1, d: 2, s: 2, e: 1, a: 1}. Give prob of sequence sa.
1/21
Calculate prob of sequence npn when three letters picked without replacement from {l: 1, p: 4, d: 2, n: 1}.
0
Calculate prob of sequence lu when two letters picked without replacement from yzulyuy.
1/21
Calculate prob of sequence alm when three letters picked without replacement from {l: 2, m: 4, a: 1, h: 6, k: 3}.
1/420
What is prob of sequence xc when two letters picked without replacement from ccccccccxcxccccxccxc?
16/95
Four letters picked without replacement from {n: 2, v: 5, r: 4}. What is prob of sequence vrrn?
1/66
Calculate prob of sequence jj when two letters picked without replacement from cvvvvvlvvvlljvvj.
1/120
What is prob of sequence szz when three letters picked without replacement from {g: 8, s: 8, z: 4}?
4/285
What is prob of sequence kini when four letters picked without replacement from {n: 5, i: 3, k: 2}?
1/84
What is prob of sequence nvv when three letters picked without replacement from {v: 2, a: 1, n: 5, z: 1}?
5/252
Four letters picked without replacement from {r: 5, u: 5, o: 5, m: 5}. What is prob of sequence rmuu?
25/5814
Calculate prob of sequence wqu when three letters picked without replacement from qwfqqqhhuwuhhqqhh.
1/170
Three letters picked without replacement from {a: 5, q: 2}. What is prob of sequence aqq?
1/21
Three letters picked without replacement from bininbiibniii. Give prob of sequence nbn.
3/286
Three letters picked without replacement from {q: 4, f: 2, h: 4, y: 2}. What is prob of sequence yfq?
2/165
Four letters picked without replacement from iiiiiiiiii. Give prob of sequence iiii.
1
Three letters picked without replacement from hhpphpwhhhwwhwipwp. What is prob of sequence www?
5/408
Three letters picked without replacement from yzyr. What is prob of sequence yry?
1/12
What is prob of sequence rr when two letters picked without replacement from {c: 5, r: 5}?
2/9
Three letters picked without replacement from obaoboabb. What is prob of sequence boo?
1/21
What is prob of sequence qu when two letters picked without replacement from ufusqff?
1/21
What is prob of sequence ch when two letters picked without replacement from dhhdppddddcdpppvo?
1/136
Three letters picked without replacement from {b: 3, n: 1, r: 2, f: 4}. Give prob of sequence bnb.
1/120
Calculate prob of sequence pw when two letters picked without replacement from mmmmvvvmmpmvmmpwpw.
1/51
Four letters picked without replacement from {e: 5, h: 13}. What is prob of sequence hehh?
143/1224
Calculate prob of sequence dv when two letters picked without replacement from dzaadzdazv.
1/30
Two letters picked without replacement from oxfkllgk. Give prob of sequence og.
1/56
What is prob of sequence llc when three letters picked without replacement from {l: 2, c: 4}?
1/15
Three letters picked without replacement from fuauufuuuuufaauauuf. What is prob of sequence afa?
8/969
Calculate prob of sequence ttcy when four letters picked without replacement from {c: 5, y: 2, t: 4}.
1/66
Calculate prob of sequence hjh when three letters picked without replacement from jhhhhhhhjhhhhjhhhhhh.
34/285
Calculate prob of sequence gtl when three letters picked without replacement from wrltg.
1/60
Three letters picked without replacement from {n: 2, s: 2, q: 2}. What is prob of sequence qns?
1/15
Three letters picked without replacement from kaf. Give prob of sequence kfa.
1/6
Calculate prob of sequence pqp when three letters picked without replacement from {q: 6, s: 3, p: 3, z: 2, y: 3}.
3/340
Two letters picked without replacement from msstlmsys. Give prob of sequence mt.
1/36
What is prob of sequence dds when three letters picked without replacement from {q: 2, w: 2, s: 12, p: 1, d: 3}?
1/95
Four letters picked without replacement from {m: 5, b: 1, o: 1, e: 3, n: 4}. Give prob of sequence menm.
10/1001
Three letters picked without replacement from {y: 2, c: 9}. Give prob of sequence yyc.
1/55
Two letters picked without replacement from imftoipppfi. What is prob of sequence po?
3/110
Calculate prob of sequence iw when two letters picked without replacement from {w: 1, b: 2, i: 1}.
1/12
What is prob of sequence cih when three letters picked without replacement from iihiciciiiiicciicic?
4/323
Three letters picked without replacement from oxeelouuloeuxxeuxux. Give prob of sequence elo.
4/969
Two letters picked without replacement from {h: 1, u: 1, p: 1}. Give prob of sequence pp.
0
Two letters picked without replacement from avgaaffgavgcgavfaag. Give prob of sequence fv.
1/38
Calculate prob of sequence uu when two letters picked without replacement from {g: 1, u: 2, h: 1, s: 2, y: 1, e: 2}.
1/36
What is prob of sequence zo when two letters picked without replacement from {z: 2, o: 4, t: 2, f: 2, d: 4}?
4/91
Calculate prob of sequence rw when two letters picked without replacement from trmmrmtrwtrbrtmt.
1/48
Four letters picked without replacement from {o: 5, k: 5}. Give prob of sequence kkkk.
1/42
Calculate prob of sequence jjuu when four letters picked without replacement from {u: 2, j: 9, a: 5}.
3/910
Calculate prob of sequence nbbn when four letters picked without replacement from nnbnnnnbnnn.
1/55
Three letters picked without replacement from {s: 5, o: 7, b: 1}. What is prob of sequence osb?
35/1716
What is prob of sequence xa when two letters picked without replacement from {x: 1, e: 1, d: 1, w: 1, h: 2, a: 1}?
1/42
Three letters picked without replacement from bwirbxwrwbwjrwxbrbxr. What is prob of sequence iww?
1/342
Calculate prob of sequence wyyt when four letters picked without replacement from {t: 5, y: 2, w: 12}.
5/3876
Three letters picked without replacement from {m: 3, u: 5, w: 1, l: 1, k: 5}. What is prob of sequence uwk?
5/546
Three letters picked without replacement from qdlqqllddql. Give prob of sequence lql.
8/165
Four letters picked without replacement from ilblllbli. Give prob of sequence liil.
5/378
Four letters picked without replacement from yfiiwibuiifbiuuifi. What is prob of sequence fiuy?
1/1020
Four letters picked without replacement from nfffffnffn. Give prob of sequence nffn.
1/20
Two letters picked without replacement from {w: 2, n: 1}. Give prob of sequence wn.
1/3
Three letters picked without replacement from eeaeala. What is prob of sequence laa?
1/35
What is prob of sequence ndo when three letters picked without replacement from {o: 1, z: 5, s: 1, d: 7, n: 1}?
1/390
What is prob of sequence cwc when three letters picked without replacement from mwccwmmwww?
1/72
Two letters picked without replacement from {y: 9}. Give prob of sequence yy.
1
What is prob of | {
"pile_set_name": "DM Mathematics"
} |
8. Determine o(-760).
12
Let m(g) = 2*g**3 - 36*g**2 + 106*g - 653. Calculate m(16).
19
Let h(s) = 17*s**3 - 13*s**2 - 1528*s + 4633. Calculate h(3).
391
Let v(t) = -t**3 + 23*t**2 + 10*t - 251. Calculate v(19).
1383
Let q(g) = 281992*g - 2255947. Calculate q(8).
-11
Let y(r) = -58*r**3 + 25*r**2 + 572*r - 595. Determine y(1).
-56
Let t(f) = -f**3 + 38*f**2 + 16281*f + 131. What is t(-110)?
21
Let d(s) = -87*s - 9392. Calculate d(-110).
178
Let b(t) = -23*t**2 - 1270*t + 2338. Calculate b(-57).
1
Let k(u) = 1141*u - 710794. What is k(623)?
49
Let p(o) = o**3 + 23*o**2 + 89*o + 187. Determine p(-6).
265
Let d(n) = n**2 + 6539*n + 149822. Give d(-23).
-46
Let i(s) = -711376*s + 2134114. Determine i(3).
-14
Let w(b) = 51676*b + 878403. Give w(-17).
-89
Let i(v) = 5085*v + 193236. Give i(-38).
6
Let o(s) = -4*s**2 - 1923*s + 102005. What is o(-529)?
-92
Let v(h) = 2*h**2 + 145*h - 560. Determine v(-76).
-28
Let f(b) = -5*b**2 + 481*b + 3654. What is f(-7)?
42
Let i(w) = -2*w**2 + 4339*w - 482225. Give i(2052).
-5
Let y(z) = 3*z**3 - 88*z**2 + 205*z - 437. Calculate y(27).
-5
Let s(w) = -1196*w - 89453. Calculate s(-75).
247
Let a(x) = -4*x**3 + 532*x**2 - 3527*x - 34. Give a(126).
92
Let f(s) = -12*s**3 + 7*s**2 + 42*s - 124. Determine f(3).
-259
Let d(n) = n**2 + 351*n + 25804. What is d(-105)?
-26
Let m(w) = w**2 + 458*w - 52027. Give m(95).
508
Let x(w) = 656*w - 207865. What is x(317)?
87
Let x(a) = -71*a**2 - 263*a + 486. What is x(-5)?
26
Let b(y) = -2*y**2 + 73*y + 98. What is b(33)?
329
Let y(s) = -6029*s - 204694. What is y(-34)?
292
Let w(h) = 25*h**2 + 378*h + 78. What is w(-17)?
877
Let c(w) = w**3 - 36*w**2 + 215*w + 564. What is c(-2)?
-18
Let w(b) = -164*b**2 + 37708*b + 2755. What is w(230)?
-5
Let r(t) = t**2 - 155*t + 1478. What is r(10)?
28
Let a(c) = 877*c**2 - 143827*c - 159. Calculate a(164).
5
Let r(j) = -63*j**2 - 866*j + 242. Determine r(-11).
2145
Let u(a) = 3*a**3 - 57*a**2 + 60*a - 82. Give u(18).
26
Let m(g) = 252*g - 2952. Determine m(12).
72
Let i(y) = -1573*y + 8438. Give i(6).
-1000
Let h(c) = -3*c**2 - 57*c + 177. What is h(3)?
-21
Let h(u) = -5*u**2 + 4*u + 391. What is h(19)?
-1338
Let q(s) = -23*s**2 + 30103*s - 298732. Determine q(10).
-2
Let c(w) = -w**3 - 43*w**2 - 302*w + 327. Give c(-32).
-1273
Let o(u) = -27*u**3 + 272*u**2 + 3*u - 254. Calculate o(10).
-24
Let t(h) = 232*h**2 + 706*h - 34. Give t(-3).
-64
Let f(d) = d**3 + 9*d**2 + 7*d - 24. Calculate f(-6).
42
Let q(n) = -60021*n + 59872. Calculate q(1).
-149
Let o(m) = -16748*m + 1909328. Calculate o(114).
56
Let v(w) = 83012*w - 83010. Give v(1).
2
Let c(k) = 2989*k + 95667. Determine c(-32).
19
Let k(c) = 129*c**2 + 860*c + 54. Determine k(-7).
355
Let y(b) = b**3 + 111*b**2 + 360*b + 66220. What is y(-113)?
2
Let v(o) = 4*o**2 - 5529*o - 3334626. Give v(-454).
4
Let l(k) = k**3 - k**2 + 51*k + 990. Determine l(-8).
6
Let u(y) = -3*y**2 + 4322*y - 8. What is u(0)?
-8
Let r(q) = -q**3 + 4*q**2 - 293*q + 901. Determine r(3).
31
Let w(k) = k**2 + 884*k - 6256. Give w(7).
-19
Let b(r) = -44*r + 87. Calculate b(-24).
1143
Let x(r) = 11282*r - 191600. What is x(17)?
194
Let x(p) = p**2 + 29*p - 625. Calculate x(19).
287
Let q(t) = 14*t**2 + 276*t + 518. Determine q(-20).
598
Let r(t) = 7*t**3 - 408*t**2 + 119*t - 206. Determine r(58).
-32
Let n(a) = -37*a**3 - 182*a**2 - 66*a - 296. Determine n(-5).
109
Let u(g) = -1279*g - 750728. Calculate u(-587).
45
Let f(j) = -j**3 - j**2 - 15*j + 287. Give f(0).
287
Let q(z) = -4610*z - 442565. What is q(-96)?
-5
Let y(c) = c**3 - 832*c**2 + 162031*c - 53. Give y(311).
-53
Let v(y) = -y**2 + 11212*y + 676316. Determine v(-60).
-4
Let g(s) = 2*s**2 - 673*s + 24233. What is g(41)?
2
Let d(t) = -15127*t + 831823. Calculate d(55).
-162
Let d(r) = -70*r - 4958. Calculate d(-64).
-478
Let b(r) = 3595440*r - 10786323. Calculate b(3).
-3
Let z(u) = -416*u + 19845. Give z(56).
-3451
Let v(u) = u**3 - 196*u**2 + 9353*u - 97. Calculate v(82).
313
Let n(v) = -309*v + 7452. What is n(22)?
654
Let r(u) = 468443*u - 2810657. What is r(6)?
1
Let o(r) = 197436*r + 7502538. Give o(-38).
-30
Let i(a) = -55283*a + 1326814. Give i(24).
22
Let p(y) = 460*y - 9230. What is p(17)?
-1410
Let i(y) = 3*y**3 + 421*y**2 - 266*y + 2235. Calculate i(-141).
-21
Let s(l) = -223*l**2 + 23186*l - 32. What is s(104)?
-656
Let t(k) = k**2 + 25107*k - 1145. Determine t(0).
-1145
Let k(o) = o**2 - 69*o - 11997. Give k(149).
-77
Let z(r) = -1436*r + 4328. Give z(3).
20
Let d(i) = -20252*i - 202693. What is d(-10)?
-173
Let h(o) = -12*o**2 + 61*o - 120. What is h(2)?
-46
Let a(g) = 8*g**2 - 588*g - 1163. Give a(-2).
45
Let i(p) = -634*p**2 - 21311*p + 8332. Determine i(-34).
2
Let s(f) = -7*f**3 - 16*f**2 - 82*f - 109. Give s(-2).
47
Let b(x) = -x**3 + 2*x**2 + 4095*x - 28648. Calculate b(7).
-228
Let g(y) = 8*y**3 - 442*y**2 - 882*y + 30. What is g(-2)?
-38
Let t(w) = -60*w + 7289. Determine t(123).
-91
Let j(w) = w**2 - 134*w + 4350. Calculate j(51).
117
Let d(c) = -22*c**2 + 12*c - 535. Determine d(0).
-535
Let k(o) = -8*o**2 + 41*o + 892. Calculate k(-14).
-1250
Let o(m) = m**3 + 1052*m**2 + 6224*m - 54391. What is o(-1046)?
1
Let o(t) = 4*t**3 + 56*t**2 - 1085. Determine o(-12).
67
Let a(d) = d**2 + 762903*d - 4577471. Calculate a(6).
-17
Let c(t) = -6*t**2 + 164*t - 154. Calculate c(29).
-444
Let n(r) = 16477*r - 164763. What is n(10)?
7
Let w(f) = f**3 - 10*f**2 - 1528*f + 1645. Calculate w(-35).
0
Let c(d) = -2196*d - 647810. Calculate c(-295).
10
Let p(d) = -3*d**2 + 609*d - 8502. What is p(15)?
-42
Let q(l) = -13*l**3 + 24*l**2 + 112*l + 328. Determine q(-3).
559
Let i(q) = -q**3 + 144*q**2 + 1537*q + 106647. What is i(158)?
-3
Let i(j) = 482*j**2 + 31904*j + 6077. Give i(-66).
5
Let j(q) = q**3 - 10*q**2 - 39*q + 177. Determine j(12).
-3
Let z(f) = -3*f**3 + 15*f**2 - 287*f + 1687. Give z(6).
-143
Let d(u) = -10374*u + 32673. Give d(3).
1551
Let j(z) = 12*z**3 - 168*z**2 - 13937*z + 195129. Give j(14).
11
Let o(k) = 38792*k + 814666. Calculate o(-21).
34
Let l(u) = u**3 - 65*u**2 + 1095*u + 49. Give l(29).
1528
Let c(r) = -632*r**2 - 2975*r + 27. What is c(-5)?
-898
Let q(m) = 36*m**2 + 319*m + 894. Calculate q(-5).
199
Let x(t) = -869*t + 52251. Give x(60).
111
Let b(u) = u**2 + 370364*u - 1111098. Calculate b(3).
3
Let k(j) = 3631*j - 3733. Determine k(1).
-102
Let i(w) = 32*w**2 + 56236*w + 413004. Give i(-1750).
4
Let a(d) = -d**2 - 125*d - 3331. Calculate a(-59).
563
Let n(r) = 4278*r - 55841. What is n(13)?
-227
Let m(o) = -10709*o - 149918. What is m(-14)?
8
Let n(u) = -2*u**2 - 245*u + 78. Calculate n(-121).
441
Let q(f) = -981*f + 12882. Give q(13).
129
Let o(w) = 524*w + 123677. Calculate o(-236).
13
Let x(g) = 1931*g + 13467. What is x(-7)?
-50
Let g(r) = 2*r**2 + 1371*r + 21587. Determine g(-16).
163
Let j(d) = -d**3 + 174*d**2 - 1269*d + 16695. Calculate j(167).
-5
Let z(u) = -492*u**2 - 19687*u - 281. Calculate z(-40).
-1
Let z(o) = -11*o**2 - 4155*o - 3054. What is z(-377)?
-38
Let g(u) = -u**3 - 150*u**2 - 209*u - 8572. Determine g(-149).
368
Let z(k) = k**2 + 383*k + 22616. Calculate z(-73).
-14
Let r(k) = -174*k - 15547. Determine r(-88).
-235
Let n(v) = -147147*v - 1618613. Determine n(-11).
4
Let j(m) = 19*m**2 - 12621*m - 9153. What is j(665)?
157
Let m(l) = -4*l**2 - 58*l - 216. Give m(-13).
-138
Let n(b) = 2409*b - 585395. What is n(243)?
-8
Let l(w) = -63457*w - 634571. What is l(-10)?
-1
Let m(d) = 481*d + 5908. Give m(-15).
-1307
Let z(a) = 44460*a**2 + 222260*a + 6. Give z(-5).
206
Let p(l) = 8*l**2 - 74*l + 85. Calculate p(10).
145
Let y(i) = -167*i**2 + 17860*i + 963. Determine y(107).
0
Let p(i) = 26*i**2 + 287*i + 1112. Determine p(-5).
327
Let p(o) = -3553*o - 64939. What is p(-19)?
2568
Let p(r) = -r**3 + r**2 + 7481*r - 29903. Give p(4).
-27
Let s(d) = -2721*d + 21566. Determine s(8).
-202
Let q(y) = 7114*y - 320136. Give q(45).
-6
Let i(w) = -2*w**3 + 23*w**2 + 450*w + 291. What is i(22)?
27
Let h(f) = 8816*f + 141648. What is h(-16)?
592
Let f(h) = h**3 + 24*h**2 - 643*h - 16185. Give f(-28).
-1317
Let x(s) = 3*s**2 - 267*s - 1120. Determine x(-4).
-4
Let w(i) = -i**3 - 20*i**2 + 2398*i + 47976. Calculate w(-20).
16
Let u(z) = 25*z**3 - 114*z**2 + 95*z. Determine u(3).
-66
Let i(b) = 3*b**3 - 15*b**2 - 12* | {
"pile_set_name": "DM Mathematics"
} |
+ b. Calculate the common denominator of -9/4 and j.
12
Suppose 0 = 33*o - 42*o + 54. Calculate the smallest common multiple of o and 6.
6
Let v = -14126 + 29071/2. Let y = v - 2393/6. Find the common denominator of y and -1 - (3 + (-60)/16).
12
Let c be (-13 - -10)*(2 - (-13)/(-3)). What is the common denominator of 203/(-6) + (-2)/3 and ((-19)/c)/((-10)/7)?
10
Let t = -39 - -30. Let z(q) = -q + 14. Let i be z(-6). Let m = i + t. Calculate the least common multiple of 7 and m.
77
Suppose 0 = -3*u - 12. What is the common denominator of 71/3*6/u and (-1 - -2) + (-33)/(-36)?
12
Let m = -2444/3 - -829. Let x = -87183/20 - -4358. Find the common denominator of m and x.
60
Let b be (-36)/(-42)*(-28)/(-3). Let n = -21597/8890 - -1/1270. What is the common denominator of b/8 + 178/12 and n?
42
Let x = 4145/7 + -598. Let o be -3*3/(-9) + 1830873/(-294630). Let u = o - 1/7015. Calculate the common denominator of x and u.
14
Suppose -11*z + 8*z - 5*v = -29, -4 = -4*z + 2*v. What is the least common multiple of 3 and z?
3
Suppose 7*n - 434 = -0*n. Let v = n - 46. Calculate the smallest common multiple of v and 16.
16
Suppose 2 = 5*m - 3. Calculate the lowest common multiple of -4*m*88/(-16) and 10.
110
Let n be 2*(1 + 4/((-32)/(-220))). Calculate the common denominator of 3 - 1 - n*(-4)/42 and -85/8.
56
Let c = 109793/41832 - -2/5229. Let a = 6942 + -458059/66. Find the common denominator of a and c.
264
Let i = -737/11680 + -107/365. Find the common denominator of 143/96 and i.
480
Let d = 9235/4404 - 5/367. What is the common denominator of d and 738/27*(0 - (-15)/(-50))?
60
Let d = 434 + -422. What is the lowest common multiple of 42 and d?
84
Let p(k) = 20*k - 115. Let x be p(28). What is the common denominator of ((-198)/(-4) - 1) + 1 and 12/(-8) + -4 + x/40?
8
Suppose 0 = 2*m + 3 + 3. What is the common denominator of 2/m + 4965/630 and 119/18?
126
Suppose -3*y + 4*d - 1 = 0, -2*y = -4*y + d - 9. Let v = 18787/1761 + -1/587. Find the common denominator of (-6)/21 - (-48)/y and v.
21
Suppose -30*t + 26*t = 3*u - 57, 4*t - 5*u - 33 = 0. Calculate the smallest common multiple of 16 and t.
48
Let c(u) = 13*u**2 + 2*u + 6. Let f be c(3). What is the common denominator of ((f/(-4))/3)/(5/4) and 32?
5
Let d(p) = -p**3 - 8*p**2 + 18*p - 14. Suppose -4*a = 29 + 11. What is the lowest common multiple of d(a) and (7 + 0)*20/14?
30
Let w be -1*142*(-1 + 44/48). Let u = 53/24 - w. Find the common denominator of u and -62/5.
40
Let z = -43 + 1. Let a = z + 391/8. Find the common denominator of a and -51/11.
88
Let v(m) = m. Let n be ((-1)/(-2) + -1)/((-2)/24). What is the smallest common multiple of v(5) and 0/(3 + -5) + (n - 3)?
15
Let b(i) = 5*i**2 - 2*i + 5. Let s be b(2). Let w(c) = 9*c. Calculate the lowest common multiple of 3/s - 42/(-49) and w(1).
9
Let h be (3/6)/(3/48). Suppose -3*i + 1 = -h. Suppose i*k = 2 + 10. What is the least common multiple of 40 and k?
40
Let m = -3 + 12. Let s = -4 + m. Suppose -u + 17 = p - s, 5*u - 4*p - 92 = 0. What is the smallest common multiple of u and 16?
80
Let j = -457/5 - -25617/280. What is the common denominator of j and ((-2236)/16)/13 - (-5)/(-1)?
56
Suppose -3*m - 23323 = 13313. Let u = -2967 + m. Let n = 303473/20 + u. What is the common denominator of n and 109/22?
220
Let i be (-4)/18 + (-625731)/(-54216). Let r = -14/251 - i. Let a = -7379/8740 - 5/874. What is the common denominator of r and a?
40
Let u = -5038/9 + 561. What is the common denominator of -58/45 and u?
45
Suppose 4*b - 25 = 5*d, 3*b + 10 = 4*d + 28. Let n(i) = i**3 - 5*i**2 + 3*i + 7. What is the lowest common multiple of n(5) and b?
110
Let h = 173 - 370. Let j = h - -1963/10. What is the common denominator of j and ((-3)/15)/(2/495)?
10
Find the common denominator of -113*(-7 + 836/840 - -6) and -97/14.
210
Suppose 3*h = 6*h - 4*b - 160, 3*b = 5*h - 285. Calculate the smallest common multiple of h and 80.
240
Suppose -6*a + 16 = -2*a. What is the common denominator of (-66)/12 - -5 - 42/10 and (7/84)/(a/(-486))?
40
Let r = 681 + -329. Calculate the common denominator of (-1 - -1) + 0 - 448/r and -30/7.
77
Let k(w) = w**2 + 9*w + 5. Let h be k(0). Find the common denominator of 17/24 and (h/40)/((-15)/650).
24
Suppose 2*g - 3*n = -0*g + 135, 0 = -g + 5*n + 57. Calculate the smallest common multiple of g and 48.
144
Let b be 292/(-8)*-1*2. Let m = b - 51. Suppose 3*f - 1 = 5. What is the lowest common multiple of m and f?
22
Let v(s) = -s**3 + 8*s**2 - 4*s - 8. Let n be v(7). Let c be (n/(-5) + 3)*9910. Let k = 55471/14 - c. What is the common denominator of k and -59/4?
28
Let r = -88 + 98. Suppose m - 73 = -3*x + x, -2*x - 341 = -5*m. Calculate the smallest common multiple of r and m.
690
Let w(b) = -b**3 - 13*b**2 - 13*b + 10. Let t be w(-12). Let d = t + -18. Let g = d - 1. Calculate the smallest common multiple of g and 5.
15
Let k = -18 + 20. Suppose 0 = -r + k*r - 12. Calculate the smallest common multiple of r and 20.
60
What is the common denominator of -53/95 and -18*(18 + -10)/800?
950
Suppose 6*o - 79 - 41 = 0. Calculate the common denominator of -85/6 and (-10)/21*(-255)/o.
42
Let r = 11 + -8. Suppose -30 = -8*i + r*i. Let d(l) = -l + 7. What is the least common multiple of d(i) and 4?
4
Let i = 5268 - 263291/50. Find the common denominator of -47/25 and i.
50
What is the smallest common multiple of 10 and (-15)/(-15) - (-226 + 1)?
1130
Let k(b) = b**2 + 4*b - 2. Let c be k(-4). Let p = 10 + c. Let l = p - 6. What is the lowest common multiple of 8 and l?
8
Suppose 0 = -5*n + 115 + 20. Suppose -3*g = 2*m - 13 - 0, 3*m + 5 = -g. Calculate the least common multiple of g and n.
189
Let u(l) = -l**3 - 2*l**2 - 5*l - 2. Let j = 30 - 25. Suppose 3*w - 41 = 2*k - 3*k, -j*w - k = -65. What is the smallest common multiple of u(-3) and w?
132
Let s be 4/6 - (6 + (-208)/12). Calculate the common denominator of (-60)/56 - s/28 and -13/6.
6
Let s = -4858 + 97239/20. Find the common denominator of -109/10 and s.
20
Let q = -467/8 + 59. Suppose -4 = -2*f + f - 4*k, -k = -3*f - 14. What is the common denominator of q and (-152)/(-384)*6/f?
32
Suppose 1637 = 11*o + 1571. Calculate the lowest common multiple of 302 and o.
906
Suppose 0 = 4*q - 8, 41 + 43 = c + 2*q. Suppose -z - c = -6*z. Let d = 25 - z. Calculate the least common multiple of 8 and d.
72
Suppose -2*j = 4*n + 3*j - 42, 0 = -4*n - 4*j + 40. Let k be 1*-12*(-4)/n. Calculate the least common multiple of 9 and k/(-8)*(-12)/1.
9
Find the common denominator of (62/(-40))/(9/(-36)*-12) and -9/40.
120
Let q = -6703/40 + 866/5. Calculate the common denominator of 43/55 and q.
440
Suppose 919 = 27*x - 4994. What is the lowest common multiple of x and 15?
1095
Suppose -208 = -v + 4*m, -2*v - 3*m + 120 + 252 = 0. What is the least common multiple of v and 15?
960
Suppose -x + 7 + 11 = 0. Calculate the common denominator of x/30 - 754/(-60) and 19/10.
30
Let m = 19 + -10. Let d = 21 - -6. Suppose -2 = 5*h - d. What is the least common multiple of h and m?
45
Calculate the common denominator of -19/12 and (-3)/6*96/54.
36
Let k be 416/71184*39018/(-16). Let w = -2/1483 - k. Calculate the common denominator of w and 7/4.
4
Calculate the least common multiple of 252 and (360/(-56))/(21/(-98)).
1260
Let a = -9 + 12. Suppose g - 20 = -5*i + 4, -a*i = g - 16. Suppose -3*t = -i*y + 35, y - 7 - 5 = 4*t. Calculate the smallest common multiple of 4 and y.
8
Suppose 0 = -415*i + 412*i + 54. What is the lowest common multiple of 9 and i?
18
Calculate the smallest common multiple of 2/(-9) - ((-25740)/(-162))/(-13) and 15/2 - 3/(-6).
24
Calculate the common denominator of 5*22/(-33) - 2 and (147/(-30) - -1) + 3.
30
Find the common denominator of -113/28 and (7/((-196)/(-228)))/(1 + 0).
28
Let m(w) = -6*w + 17. Let u be (0 - 8)/((-3)/(-3)). Let p be m(u). Calculate the smallest common multiple of 4 and 18/5 + 26/p.
4
Let j(h) = h**2 - 1. Let b be -4*1/2*-40. Let d = b - 64. What is the smallest common multiple of j(-3) and d?
16
Let m = 76 - 64. What is the lowest common multiple of 4 and m?
12
Let y = 29 - 7. Suppose -5*n = -10*n + 10. Calculate the lowest common multiple of 2108/y - 10/(-55) and n.
96
Suppose -30 = 5*l - 10*l. Suppose w - w = 3*w. Let y = w + l. What is the lowest common multiple of | {
"pile_set_name": "DM Mathematics"
} |
eplacement from {z: 1, w: 2, c: 8, t: 5, u: 2}. What is prob of sequence zcwc?
7/4590
What is prob of sequence oqku when four letters picked without replacement from okguqhu?
1/420
Calculate prob of sequence bpy when three letters picked without replacement from {r: 1, p: 5, h: 1, b: 1, y: 2}.
1/72
Calculate prob of sequence vv when two letters picked without replacement from {w: 3, v: 12}.
22/35
Four letters picked without replacement from zppfiffifffppffz. What is prob of sequence ifpi?
2/1365
Two letters picked without replacement from uugug. What is prob of sequence ug?
3/10
Calculate prob of sequence bbba when four letters picked without replacement from {a: 2, x: 3, b: 5, o: 4, t: 5}.
5/3876
What is prob of sequence lv when two letters picked without replacement from {l: 9, v: 3}?
9/44
Calculate prob of sequence ty when two letters picked without replacement from ytttytyyyyytyyyyty.
4/17
Three letters picked without replacement from yyywycccyw. Give prob of sequence ycc.
1/24
What is prob of sequence fssg when four letters picked without replacement from {m: 1, s: 2, f: 1, g: 1}?
1/60
Calculate prob of sequence omo when three letters picked without replacement from {o: 6, m: 4, i: 3}.
10/143
Calculate prob of sequence mvmk when four letters picked without replacement from {m: 3, v: 1, k: 4, d: 6}.
1/1001
Three letters picked without replacement from {j: 7, c: 7, d: 2}. What is prob of sequence dcj?
7/240
What is prob of sequence at when two letters picked without replacement from mxxaxxtxi?
1/72
Calculate prob of sequence rjc when three letters picked without replacement from {c: 3, r: 2, j: 1, p: 1}.
1/35
Four letters picked without replacement from {n: 2, h: 1, c: 1, o: 1}. What is prob of sequence nhcn?
1/60
Calculate prob of sequence ddv when three letters picked without replacement from vddvddddvdddddvddvv.
52/323
Calculate prob of sequence tt when two letters picked without replacement from ttttt.
1
Two letters picked without replacement from uvhcmhh. Give prob of sequence mu.
1/42
Two letters picked without replacement from {d: 2, i: 2, l: 2, n: 4, y: 8, w: 1}. Give prob of sequence nl.
4/171
Three letters picked without replacement from {z: 1, a: 1, w: 2, l: 5}. What is prob of sequence lll?
5/42
Calculate prob of sequence yhry when four letters picked without replacement from {d: 4, y: 2, h: 8, r: 5}.
5/5814
Calculate prob of sequence hll when three letters picked without replacement from {z: 9, l: 4, h: 4}.
1/85
Calculate prob of sequence daa when three letters picked without replacement from aoonaooozdoooznzao.
1/816
Calculate prob of sequence uu when two letters picked without replacement from iuhiilihhxu.
1/55
Two letters picked without replacement from {v: 3, e: 1}. Give prob of sequence ev.
1/4
Calculate prob of sequence ga when two letters picked without replacement from {z: 2, a: 1, r: 4, o: 1, g: 2}.
1/45
Calculate prob of sequence bz when two letters picked without replacement from {n: 1, e: 4, b: 3, l: 2, c: 2, z: 2}.
3/91
Four letters picked without replacement from ooounuouhons. Give prob of sequence onon.
1/297
What is prob of sequence pqg when three letters picked without replacement from {q: 1, p: 5, s: 4, g: 4, v: 6}?
1/342
Calculate prob of sequence vpc when three letters picked without replacement from {p: 1, f: 5, v: 11, c: 2}.
11/2907
Calculate prob of sequence ssu when three letters picked without replacement from sussssssususuusuuss.
154/969
Two letters picked without replacement from {v: 1, e: 1, c: 1, d: 1, k: 1}. What is prob of sequence de?
1/20
Calculate prob of sequence lteo when four letters picked without replacement from {l: 1, f: 1, t: 1, e: 2, o: 2}.
1/210
Calculate prob of sequence kbk when three letters picked without replacement from {h: 4, b: 2, w: 1, n: 2, k: 2, s: 6}.
1/1020
What is prob of sequence hs when two letters picked without replacement from {k: 1, h: 3, s: 4}?
3/14
Four letters picked without replacement from {w: 3, t: 5}. What is prob of sequence wwwt?
1/56
Calculate prob of sequence vg when two letters picked without replacement from vvvvlwvvglvvfelvlvl.
5/171
Calculate prob of sequence wpaz when four letters picked without replacement from fpzwa.
1/120
What is prob of sequence uu when two letters picked without replacement from urmmuumrmummrmrmurrr?
1/19
Two letters picked without replacement from {i: 1, h: 1, r: 8, s: 5, z: 2, o: 3}. Give prob of sequence os.
3/76
Calculate prob of sequence grrg when four letters picked without replacement from {r: 4, g: 3}.
3/35
What is prob of sequence xx when two letters picked without replacement from {x: 5, e: 2}?
10/21
What is prob of sequence zz when two letters picked without replacement from zvvz?
1/6
Calculate prob of sequence ggg when three letters picked without replacement from ghssrgghchhghhg.
2/91
Three letters picked without replacement from {z: 2, k: 4, e: 6, o: 6}. What is prob of sequence eee?
5/204
What is prob of sequence yz when two letters picked without replacement from bydzb?
1/20
What is prob of sequence ii when two letters picked without replacement from {i: 8, n: 3}?
28/55
Calculate prob of sequence cll when three letters picked without replacement from {l: 4, c: 3}.
6/35
Calculate prob of sequence jwwi when four letters picked without replacement from {j: 1, k: 2, r: 2, i: 5, m: 1, w: 2}.
1/1716
Calculate prob of sequence uu when two letters picked without replacement from uqu.
1/3
What is prob of sequence gggg when four letters picked without replacement from gppppggpppg?
1/330
Calculate prob of sequence ijxj when four letters picked without replacement from jjjixjjjjjjxjjijjjji.
7/646
Calculate prob of sequence qqs when three letters picked without replacement from {i: 2, q: 3, s: 2, t: 3, h: 1, x: 3}.
1/182
Two letters picked without replacement from {o: 5, b: 1, w: 6, m: 2, j: 2}. Give prob of sequence ob.
1/48
Two letters picked without replacement from lljjjljjljjjlllj. Give prob of sequence jj.
3/10
Calculate prob of sequence ksrf when four letters picked without replacement from memskemmskrmfse.
1/5460
Four letters picked without replacement from {j: 1, o: 5, f: 4, x: 2, s: 2}. What is prob of sequence xosj?
5/6006
Calculate prob of sequence qky when three letters picked without replacement from {r: 5, y: 3, q: 1, j: 2, i: 8, k: 1}.
1/2280
Four letters picked without replacement from nnolllolnn. What is prob of sequence llln?
2/105
Calculate prob of sequence mp when two letters picked without replacement from pmpmmpp.
2/7
Two letters picked without replacement from {r: 3, w: 2, b: 1, y: 10, f: 1, i: 1}. What is prob of sequence br?
1/102
Calculate prob of sequence oy when two letters picked without replacement from oyyoyayaya.
1/9
Two letters picked without replacement from gfxgffrfrgfrggffx. Give prob of sequence xg.
5/136
Calculate prob of sequence inl when three letters picked without replacement from qqiiinqlqii.
1/198
Calculate prob of sequence mf when two letters picked without replacement from ppppggffffffmxbg.
1/40
Four letters picked without replacement from {s: 1, v: 2, d: 1, x: 2, w: 1, l: 2}. Give prob of sequence dsll.
1/1512
What is prob of sequence rl when two letters picked without replacement from {n: 1, o: 1, l: 6, r: 3, c: 2}?
3/26
Calculate prob of sequence it when two letters picked without replacement from {w: 2, i: 1, t: 2, s: 5, d: 6}.
1/120
Calculate prob of sequence gvmb when four letters picked without replacement from xdbmgxmxbbxxv.
1/2860
Three letters picked without replacement from bbbbbb. Give prob of sequence bbb.
1
Calculate prob of sequence tnve when four letters picked without replacement from {v: 3, e: 1, n: 1, t: 1, k: 1}.
1/280
Calculate prob of sequence tb when two letters picked without replacement from {b: 1, s: 1, t: 1, f: 1, q: 4}.
1/56
Four letters picked without replacement from {j: 4, z: 3, g: 4, d: 7}. What is prob of sequence jjjg?
1/765
Calculate prob of sequence ymy when three letters picked without replacement from {m: 4, y: 7}.
28/165
Three letters picked without replacement from vrcavvcpcchhc. Give prob of sequence cpp.
0
Three letters picked without replacement from {x: 2, h: 6, i: 3, m: 1, b: 3}. What is prob of sequence bbi?
3/455
Calculate prob | {
"pile_set_name": "DM Mathematics"
} |
9
Work out -58425024611 + 4.
-58425024607
What is the difference between 3951294064 and 303?
3951293761
What is the difference between -165.504 and 135077?
135242.504
What is -0.90554 minus 2762960.59?
-2762961.49554
Put together 28143152512628 and -0.03.
28143152512627.97
Work out 6500688408912 + -0.2.
6500688408911.8
Calculate -0.06 + 210920933043.
210920933042.94
Total of -9847132352 and 0.1082.
-9847132351.8918
Add together -0.11 and -296.9612629224.
-297.0712629224
Calculate -858130379158.88 + 5.
-858130379153.88
Work out -86863600 + -160404.
-87024004
-5036918261 - 10.8
-5036918271.8
What is -856189226 take away 0.0512?
-856189226.0512
Add -37955.52 and -65199.
-103154.52
Put together 4570656925 and -34.
4570656891
Work out -3413.48418 + -20.393.
-3433.87718
What is 4 minus 1605.50333912814?
-1601.50333912814
What is 408011789919815 + -0.3?
408011789919814.7
Put together -2273996027704 and 0.044.
-2273996027703.956
Subtract 142129.288 from 88381.
-53748.288
-1427961375 - 54849
-1428016224
What is -161.320696237 minus 2.439?
-163.759696237
Sum 0.01 and 14741438970340.
14741438970340.01
Work out 5.23 + -90506788.
-90506782.77
What is -81657705786096 minus -2?
-81657705786094
Total of -765066921592 and 57.
-765066921535
Sum -173323 and 9132182.
8958859
Calculate 4 - -5274341.07035.
5274345.07035
Subtract -13276.91979 from 0.0295.
13276.94929
3.019629556 - 2.57
0.449629556
What is -129247936537 minus 0.0322?
-129247936537.0322
-643.1 + -3.040341324
-646.140341324
Subtract 38788 from 22.55479.
-38765.44521
Subtract -8283 from 0.50514433808.
8283.50514433808
38084.3+53351
91435.3
What is the distance between 0.1391588126 and -65.3?
65.4391588126
Sum 1182698626 and 396209.
1183094835
Work out -0.2 + -54595992018.
-54595992018.2
Calculate -5252.09 + 68474.2.
63222.11
Calculate -0.0629 - 19973548.
-19973548.0629
What is 0.3 plus 948713731877?
948713731877.3
Sum -0.025022 and 490943.
490942.974978
Sum 0.69093167 and 0.0940791.
0.78501077
Sum -2627.1437327 and -9.
-2636.1437327
What is -0.014708 less than -62.91816644?
-62.90345844
Put together -11 and -11882975415.
-11882975426
39167+11525810.57
11564977.57
Calculate 10956.85 - 14000515.
-13989558.15
What is 2.7 - 1046253157781?
-1046253157778.3
What is 6.6 minus 1567675580.003?
-1567675573.403
What is the distance between 22 and 1530084328646?
1530084328624
Work out 371.56845768983 + -0.2.
371.36845768983
What is the distance between 79651492761 and 2?
79651492759
Add together 0.2 and -38221915414.
-38221915413.8
Add 520 and -0.313188815.
519.686811185
What is -0.034 less than -0.347528768?
-0.313528768
Total of 6224.6807714898 and -0.4.
6224.2807714898
What is 625714570.4 + 0.046494?
625714570.446494
Total of 4 and -1957584316.
-1957584312
Add together 0.19446363893 and -0.05.
0.14446363893
What is -0.38 minus 552727124164?
-552727124164.38
Work out -29766 + -9511277.
-9541043
Work out 2423022867 - -122.
2423022989
What is 4 minus 25960.6868042623?
-25956.6868042623
22.255 + 9968.7273
9990.9823
Work out -14424707 + -6.848.
-14424713.848
Work out -49286877 - 0.570949.
-49286877.570949
What is 45.3 plus 3.35419?
48.65419
Add -0.0705654605 and 4465.
4464.9294345395
Total of 1.113 and -54096.1343.
-54095.0213
213791699490 + 7
213791699497
Add -4545206 and -227.97.
-4545433.97
Calculate -17.05 + 623036163.
623036145.95
What is -213 minus 115306607?
-115306820
Calculate 0.358 + 1418273196.
1418273196.358
Add together 13.796938 and 4937092.
4937105.796938
746660841827+-128
746660841699
What is 179913534861 less than -71?
-179913534932
Add 4201121 and -0.824074.
4201120.175926
What is the difference between 56 and -622081101088?
622081101144
Add together 46 and 4472794591280.
4472794591326
Put together -17063861189267 and 0.2.
-17063861189266.8
What is the distance between -47602.177277 and -2602?
45000.177277
286840.1 - 149154
137686.1
Calculate -0.10905 + 1930500502.
1930500501.89095
-350602 + 360617
10015
What is -48558294 plus 2229?
-48556065
What is 2394 + 345556.351753?
347950.351753
Calculate -10920109991 - 293.7.
-10920110284.7
What is 13042.86 less than -412349?
-425391.86
What is -1.8957159157 - -24?
22.1042840843
-11245334744 + 143
-11245334601
What is 17 less than -24190656.0891?
-24190673.0891
Total of -264880 and -357.1.
-265237.1
Work out -0.006 + -338966954.677.
-338966954.683
Put together -33274.7460211731 and -5.
-33279.7460211731
Add -7617 and -152289079.
-152296696
Add -0.11 and -46.6673151886.
-46.7773151886
Work out -45449806417 + 3.
-45449806414
Sum -31 and 370484975.7844.
370484944.7844
Calculate -26646529343 - -4.
-26646529339
Put together 1996 and 51118126.
51120122
What is -3174 + 0.159342332?
-3173.840657668
What is the distance between 4161 and 0.6829342?
4160.3170658
-372+-337.8672143
-709.8672143
Sum 0.286144206 and 248130.
248130.286144206
Calculate -2.57 - -106552248.
106552245.43
Add -0.09 and 64588660602214.
64588660602213.91
What is -1.5482 minus 219670972?
-219670973.5482
What is 16606.1348 - 0.0245?
16606.1103
What is 0 minus 452957940.64841?
-452957940.64841
What is 0.2 plus 0.289156420609?
0.489156420609
What is 0.00058370389 - -0.0246?
0.02518370389
What is the distance between 3.438033804 and -3.104?
6.542033804
What is 0.63365 take away 17453722?
-17453721.36635
Put together -347686632257 and 1693.
-347686630564
Total of 4 and -51874494836592.
-51874494836588
Subtract 0.3 from 117959.6057379.
117959.3057379
What is -6427.63277116 - 0.11?
-6427.74277116
Work out -0.586 - -115076457.
115076456.414
Total of 5908970572 and 1116.
5908971688
What is -18.6723021 plus -472.14?
-490.8123021
Total of 245149373543 and 0.3.
245149373543.3
-153312+1436131.61
1282819.61
What is -757129338.07 take away 267?
-757129605.07
Work out -0.0747 + -702382386.
-702382386.0747
What is 864206.4 take away 0.5108127?
864205.8891873
What is -62.0411587321 minus 3.4?
-65.4411587321
Subtract -63709889236 from 0.46.
63709889236.46
What is -1409272943 less than -759?
1409272184
Put together -536755 and -26.1453.
-536781.1453
Add together -26.329069227 and 25.
-1.329069227
Calculate -429759039267164 + -5.
-429759039267169
What is the difference between -16387009378 and 3?
16387009381
What is -10970 less than -1513.03147?
9456.96853
What is the difference between -71391894 and 10.23?
71391904.23
Work out 4 + -28111353760379.
-28111353760375
-11812+2515911484
2515899672
Work out 3572321709 - -65.
3572321774
Put together -2.11183 and 140.147.
138.03517
Work out -72258261.3 - 967.
-72259228.3
Add 0.026196654 and 4.11.
4.136196654
Work out -99677.5 - 42.8559.
-99720.3559
What is -0.19 minus 138584025044?
-138584025044.19
Work out -2.361678776 - 9.45.
-11.811678776
Work out -242.783475 - -0.04073.
-242.742745
Put together -11541040218159 and -0.3.
-11541040218159.3
Work out 0.14 + 440902646989.
440902646989.14
What is 267566.7 less than -130462?
-398028.7
What is the difference between -16052.1 and 180710?
196762.1
Put together -623714191437 and -3.
-623714191440
What is -2.6 less than 9246600194?
9246600196.6
593032525+1630
593034155
What is -7476 + -1198025242?
-1198032718
2+-51896348471
-51896348469
What is 40020601634490 + -2?
40020601634488
Add -14405493777 and -203.
-14405493980
-0.024020594515739 + -0.08
-0.104020594515739
What is 4.68 less than 193168.8867?
193164.2067
What is 2759738939 - -1.75?
2759738940.75
What is the difference between -37.1 and 2.027668905638?
39.127668905638
What is -0.2 minus -3643883121140?
3643883121139.8
0.6 - 340321428739
-340321428738.4
What is 24 take away -2256138882489?
2256138882513
62 + 794739716.071
794739778.071
Work out -4444 + -68592161921.
-68592166365
Sum 807015484258 and -131.
807015484127
Put together -14737 and -2071249349.
-2071264086
Sum 10461.6 and -5157690.
-5147228.4
-1216978487.2301 - -108
-1216978379.2301
Add 196789883896764 and -5.
196789883896759
Total of -0.3 and -38900290482762.
-38900290482762.3
Total of 127123661008 and -0.963.
127123661007.037
0 - 1969186557.88
-1969186557.88
Work out 121089398.6 - -141706.
121231104.6
Calculate -106126232 + -60315.
-106186547
0.07 - -37649742935
37649742935.07
Calculate 30426663944549 + -0.4.
30426663944548.6
What is 3963561 minus 283047?
3680514
Subtract 261125359001 from -170.
-261125359171
Wha | {
"pile_set_name": "DM Mathematics"
} |
a + 9 = -3*j, j + 2 = -3*a - 1. Let d be (j/(-9))/((-3)/(-54)). Is u(d) a composite number?
False
Let t = 770 + -513. Is t a composite number?
False
Let v be (-6)/4*30*-1. Let k be (-1)/(-1 - (-50)/52). Let n = v - k. Is n prime?
True
Suppose 4*w - 20 = 2*s, 5*s = -2*w + 2 - 16. Let k = -4 - s. Suppose -2*a + 25 + 73 = k. Is a a prime number?
False
Let w = -1 - -6. Let z = w + 14. Is z a prime number?
True
Suppose -4*q = -3*q - 2. Suppose -q = -z + 2. Suppose 4*i - j - 79 = 2*i, 191 = 5*i + z*j. Is i composite?
True
Let k(l) = -l**3 - 3*l**2 + l - 20. Is k(-13) a composite number?
False
Let m = -11 - 7. Is 296/6*(-27)/m composite?
True
Let a be (-12)/5 + 6/(-10). Is a - (-2 + 42/(-3)) composite?
False
Let h = 61 - -47. Let d = h + 185. Is d a composite number?
False
Suppose 9*f = -0*f + 19377. Is f a composite number?
False
Let f(g) = -g**3 + 11*g**2 - 8*g - 2. Let t be f(10). Let c = 5 - 2. Is 1*c*570/t a composite number?
True
Suppose 2*v + v + 12 = 0, 3377 = 5*l + 2*v. Is l composite?
False
Suppose t + 16 = 3*q, 2*t - 3*t + q - 10 = 0. Let l be (-23)/t + (-4)/14. Suppose 0 = -2*i + l*i - 149. Is i prime?
True
Suppose 5*x = 4*p - 89, -2*x = -p - 3*x + 20. Is p a prime number?
False
Let h(o) = 10*o**2 + 3*o + 2. Suppose 5*x - 3*d = 0, 3*x + 2*d - 1 = 6*x. Let u be h(x). Suppose -4*r + 255 + u = 0. Is r prime?
True
Suppose 2*f = -0*f + 10. Let v(q) = q**3 + 2*q**2 - 5*q - 5. Is v(f) composite?
True
Let d(i) = -16*i - 1. Let l be d(1). Let g = l + 86. Is g composite?
True
Suppose -u + 15 = -4. Suppose -u = -5*q - 2*d, -2*q + d + 0*d = -13. Suppose 53 = 2*p + q*b, 15 = -2*b - 3*b. Is p composite?
True
Let h(c) = -170*c**3 - 2*c**2 + 1. Let o be h(-1). Let f = o + -72. Is f a prime number?
True
Let h be 1 - 1/1 - -1. Let y(t) = 1 + 1 - h - t. Is y(-6) prime?
True
Let s = -3 - -8. Is 1/s - 1268/(-10) a composite number?
False
Suppose -4*t = 3*v - 2346, 1012 = v + t + 229. Is v/24 - 1/(-4) a composite number?
True
Let j(i) = 2*i + 13*i + 1 - 3*i. Is j(2) a prime number?
False
Let q(u) = u**3 - 2*u**2 + 4*u - 3. Let d be q(2). Let g = 54 + d. Is g composite?
False
Let u(m) = 17*m**3 + 4*m**2 + m - 7. Is u(3) prime?
True
Let k(t) be the first derivative of t**4/8 - t**3/3 - 3*t**2/2 - 3. Let u(x) be the second derivative of k(x). Is u(7) a prime number?
True
Suppose -5*k + 4*k = -257. Is k a prime number?
True
Suppose 9*z = 5*z. Suppose 0 = -5*t + 5*b + 715, z = -3*t + b + 255 + 178. Is t a prime number?
False
Suppose -4*z = -4*d + 760, -174 = 3*d + 4*z - 709. Suppose 66 = 3*l - 2*s - 47, -5*l + 5*s + d = 0. Is l prime?
False
Let u(s) = 32*s**2 + 3*s - 3. Is u(2) a composite number?
False
Let o = 136 + 4. Suppose 7*n = 2*n + o. Let k = n - 9. Is k composite?
False
Let y(i) = i**2 + 9*i + 4. Let v = 12 - 18. Let m be y(v). Is -2 + ((-3)/(-3) - m) composite?
False
Let j(t) = 40*t + 3. Suppose -6*m = -4*m - 6. Is j(m) a prime number?
False
Let o be (-4)/6 - (-215)/(-15). Let a be -4*2/((-8)/(-82)). Let j = o - a. Is j prime?
True
Let b = -17 - -5. Let z = -6 - b. Suppose -c + 4*c - z = 0. Is c composite?
False
Suppose -5*b = -535 - 2005. Suppose 4*t = 3*q - 1534, -q + 2*t + b = 4*t. Is (6/(-9))/((-4)/q) a prime number?
False
Suppose 3*w + 520 - 1450 = 0. Suppose -5*l - b + w = 0, 3*l - 8*b - 186 = -4*b. Is (-4)/((-4)/l + 0) composite?
True
Let c = 195 - -98. Is c composite?
False
Let n be -2 - (-2 - -1)*4. Let u(b) = -b**3 + b**2. Let k(o) = 20*o**3 + 6*o**2 + o + 1. Let c(z) = k(z) - 4*u(z). Is c(n) a composite number?
True
Let i(f) = 62*f + 4. Let z be i(3). Is z/1 - (-7 + 10) composite?
True
Let c(h) = 9*h - 1. Let f be c(-1). Is (-2)/f - 136/(-20) a composite number?
False
Suppose 4*g - 175 = -43. Is g a composite number?
True
Let v be (78/(-3))/(3 + -5). Is 4 - (1 - (v + -3)) a prime number?
True
Let o = 156 - -985. Is o composite?
True
Suppose -2*s + 7*s - 1913 = 3*l, 4*s - 1529 = l. Suppose s = 3*o - o. Is o a prime number?
True
Let u = 10 - 5. Let s = -43 + 51. Suppose -3*h + 30 = -u*a - 155, -4*a = -s. Is h a prime number?
False
Suppose 3*v - 5*t + 3 = 0, 5*v - 2*t + 2 = -3. Is 2*v + 36 + -1 prime?
False
Suppose -414 = a + 426. Is a/(-16) + (-1)/(-2) prime?
True
Let g = 115 - 68. Is g composite?
False
Suppose k = -5*y + 20, -4*y + 3*k = -2*y - 8. Suppose n - y*r - 5 = 0, 7*n + 71 = 2*n - 4*r. Let i = 18 + n. Is i composite?
False
Suppose -5*t = 9 - 34, 0 = -4*z + 3*t - 51. Let g be ((-2)/(-3))/(3/z). Is g + 0 + 19 + -2 a prime number?
False
Let j = 327 - 178. Is j a prime number?
True
Let y = -9 + 2. Let v(g) = -g + 6. Is v(y) prime?
True
Is 2/(-4)*(-1592 - (-2)/(-1)) a composite number?
False
Let o = -298 + 599. Is o a composite number?
True
Let k(u) = 120*u**2. Let g be k(1). Suppose 0 = 4*s + q - 60, 32 = -5*s + 2*q + g. Let p = 22 - s. Is p composite?
True
Let h = -2 + 6. Suppose 0*l = -3*l - 2*m + 32, -h*m = -3*l + 8. Let i(o) = 4*o - 7. Is i(l) a prime number?
False
Let q(r) = r**3 + 6*r**2 - r + 4. Let z be q(-6). Suppose i = 111 + z. Is i composite?
True
Is 40139/77 + (-2)/7 composite?
False
Let v(s) = 2*s**2 - 17*s + 10. Let i = -32 + 45. Is v(i) a prime number?
True
Is 331 - ((-2 - 2) + 6) a prime number?
False
Let b be -1 + 65 - (3 - 3). Suppose -5*l = 5*z - 220, 4*l = 4*z - b - 72. Is z prime?
False
Let i(w) = w**2 - w - 4. Let g be i(-7). Let c be 23 - 0*2/6. Suppose 3*z - g - c = 0. Is z prime?
False
Let w(l) = l**3 - 4*l**2 - 6*l + 8. Let s be w(5). Suppose 5*b = 2*b - 2*u, 0 = 3*b + 5*u + 9. Suppose 0 = b*i - 3 - s. Is i a prime number?
True
Let b(u) = u**3 + 5*u**2 - 6*u + 7. Let w be b(-5). Let p(s) = -3*s + w + 7*s - 5*s. Is p(0) prime?
True
Suppose -i + 2 = 2*q, 2*q - 2*i = -i + 6. Suppose -g = -q*g + 3. Suppose -5 = -g*o + 40. Is o a prime number?
False
Suppose a = 3*g + 202, 6*a - 2*a - 859 = -5*g. Is a composite?
False
Suppose -4*o + 5*r + 1201 = 177, -2*r = 4*o - 996. Is o a prime number?
True
Let k = 34 + -21. Let q = k + 308. Is q a composite number?
True
Suppose -4*u + 3*m + 324 = -m, -5*m = 2*u - 190. Is u prime?
False
Let u be 328/(-1)*(-1 + 2). Suppose -11*o + 15*o = 24. Is 1/3 - u/o composite?
True
Let q be 957/(-12) + (-2)/8. Let k be (4 - 2)/(7 + -5). Is (q + 2 - k)*-1 a prime number?
True
Let s(a) = 7*a + 6. Let n be s(8). Suppose -4*z + 228 = -z. Suppose 4*d - n = -2*p, 4*p - 2*d = 2*d + z. Is p a prime number?
True
Suppose -5*g = -36 + 156. Let o = -4 + 147. Let q = g + o. Is q a prime number?
False
Let k be (2/(-3))/((-8)/36). Let r be (-12)/(-7) + 2/7. Suppose 0 = -r*f - 2*f + k*o + 868, 2*f - 434 = -5*o. Is f composite?
True
Let h = 2142 + -1115. Is h composite?
True
Is -1*((0 - (0 + -4)) + -4131) a composite number?
False
Let n(j) = -30*j + 5. Let k be n(-4). Suppose -4*q + 591 = -k. Is q a composite number?
False
Let v(a) be the first derivative of -a**4/4 + 8*a**3/3 - 2*a**2 + 2*a - 1. Let r be v(7). Suppose 4*i + f = 26, 9 + r = 4*i + 4*f. Is i a prime number?
False
Suppose -2*y - 3*s + 457 + 875 = 0, 4*y = -5*s + 2666. Is y a prime number?
False
Let p = 18 - 10. Let l be p/1*(-8)/(-16). Suppose -x + 528 = 5*z, 189 = -4*z - l*x + 605. Is z prime?
False
Let l = -10 + 19. Let b(t) = -t**2 + 12*t - 2. Let m be b(l). Suppose -v + 10 = -m. Is v prime?
False
Suppose -g - 2*g = 456. Let t = 235 + g. Is t prime?
True
Let m(o) = -10*o. Is m(-1) prime?
False
Let b be 2/5*(-45)/(-3). Let n(w) = -w**3 + 8*w**2 - 5*w - 5. Is n(b) composite?
False
Let i(c) = -c - 3. Let j be i(-6). Suppose q + 198 = j*q. Suppose 0 = -4*k + 5*p + q, -5*k - 2*p + 99 = -0*k. Is k composite?
True
Is (3 - 160/12)*-3 prime?
True
Let n = -2 + 6. Suppose 1381 = 4*p + 5*o, -n*p = -3*p + o - 344. Is p a composite number?
True
Let i(g) = -g**3 + 9*g**2 + 14*g - 11. Is i(6) prime?
True
Let j(v) = -v**3 - 14*v**2 + 5*v - 19. Suppose -3*u + 4*u + 2*z + 23 = 0, -4*u = -5*z + 40. Is j(u) prime?
True
Let g be (8/(-6))/((-4)/6). Suppose -g*i = -0*i - 166. Suppose -5*b + i = 13. Is b composite?
True
Let f be (1/2)/((-2)/(-16)). Suppose -f*u = -5 - 15. Suppose -u*m - 89 = -3*d + d, -d = -5*m - 52. Is d a prime number?
True
Suppose k + 35 = 146. Is k composite?
True
Suppose -2*n + 492 = -1090. Is n composite?
True
Suppose z + 796 + 102 = 0. Let x = -399 - z. Is x a composite number?
False
Let r = 3 - 2. Let j be 0*r/2 + 3. Suppose -j*s + 1 = 13, 5* | {
"pile_set_name": "DM Mathematics"
} |
3*a**2 + 9*a - 6. Let y(m) = -25*m**3 + 7*m**2 + 19*m - 13. Let j(u) = 13*i(u) - 6*y(u). Determine b so that j(b) = 0.
-1, 0, 1/2
Suppose 3*a = -2*g + 26, -2*g - 17 = -2*a - 3*g. Suppose 20 = a*k - 3*k. Let 1/3*v**k + 0 + 0*v**3 - 1/3*v**2 + 0*v = 0. Calculate v.
-1, 0, 1
Suppose -4*h = h - 30. Let d = -3 + h. Let -10/9*p + 14/9*p**2 - 2/3*p**d + 2/9 = 0. Calculate p.
1/3, 1
Let o(g) = -g - 7. Let a be o(-12). Let p = 7 - a. Determine r, given that 0 + 2*r**4 + 3/2*r**5 - 2*r**p - r**3 - 1/2*r = 0.
-1, -1/3, 0, 1
Let v be ((-1)/3)/(2/(-18)). Suppose v*u**3 - 2*u**3 - u**2 - 2*u**3 = 0. What is u?
-1, 0
Let c(o) = o - 8. Let h be c(7). Let i(l) = 2*l**2 - 7*l - 5. Let k(m) = 4*m - m + 2*m - 4*m + 1. Let d(v) = h*i(v) - 5*k(v). Suppose d(u) = 0. What is u?
0, 1
Let z(h) be the third derivative of 0 + 1/60*h**4 - 1/300*h**6 + 0*h + 6*h**2 + 0*h**3 + 0*h**5. Factor z(c).
-2*c*(c - 1)*(c + 1)/5
Let a be 27/108*(1 + 7). Factor 0 + 3/2*y**a - 3/2*y.
3*y*(y - 1)/2
Factor 27/2*y + 0 + 21/2*y**3 + 45/2*y**2 + 3/2*y**4.
3*y*(y + 1)*(y + 3)**2/2
Let -2*i**2 + 10*i**4 + 2*i**3 - 18*i**4 + 10*i**4 - 2*i**5 = 0. Calculate i.
-1, 0, 1
Suppose 5*v + 25 = -0*n + 5*n, 0 = 4*v - 3*n + 15. Suppose -4 = -4*b - 2*s, v*b + 3*s = b - 15. Factor 0 - 2/9*h**b + 0*h + 0*h**2 + 2/9*h**4.
2*h**3*(h - 1)/9
Suppose -4/5*p**4 + 0 + 16/5*p + 16/5*p**2 - 4/5*p**3 = 0. Calculate p.
-2, -1, 0, 2
Let g(c) be the third derivative of -c**5/30 + c**4/24 + c**3/6 - 10*c**2. Factor g(n).
-(n - 1)*(2*n + 1)
Let n(p) be the third derivative of -1/4*p**4 - 1/6*p**3 + 0*p - 1/120*p**6 + 0 - p**2 + 3/40*p**5. Let q(m) be the first derivative of n(m). Factor q(z).
-3*(z - 2)*(z - 1)
Let w = -3 - -1. Let j be w/(-7) + 84/49. Determine d so that 3*d**2 + 3*d**4 + 6*d**3 + 2*d**5 + 3*d**4 - 3*d**2 + 2*d**j = 0.
-1, 0
Let x = -222 + 224. Factor 0 - 2/9*t**x + 4/9*t**3 + 0*t - 2/9*t**4.
-2*t**2*(t - 1)**2/9
Suppose 59 = 3*d + 5*t, 4*d - 6*d + 48 = -t. Suppose -25 = 5*b, 5*m - m = 3*b + d. Factor -1/2 - c - 1/2*c**m.
-(c + 1)**2/2
Let b(n) = -n**2 + 6*n. Let h(a) = -a. Let u(v) = -3*b(v) - 15*h(v). Factor u(g).
3*g*(g - 1)
Let h(t) be the first derivative of -t**5/30 - t**4/12 - 3*t**2/2 - 1. Let x(c) be the second derivative of h(c). Factor x(s).
-2*s*(s + 1)
Suppose -5*u = -26 + 1. Let m(h) be the first derivative of -u*h + h + h**2 + 1 + 1 + 0*h + 2*h**3. Factor m(k).
2*(k + 1)*(3*k - 2)
Let m(y) be the first derivative of y**4/36 - y**3/3 + 3*y**2/2 + 7*y + 6. Let z(f) be the first derivative of m(f). Factor z(v).
(v - 3)**2/3
Let a = 243929/240 + -3049/3. Let t(g) be the second derivative of 0 - a*g**5 - 3/8*g**4 - 3*g**2 + 2*g - 3/2*g**3. Factor t(r).
-3*(r + 2)**3/4
Let v(y) = -3*y**3 + 5*y**2 - 2*y + 4. Let s be v(4). Let k be -3 + 0 + s/(-20). Find n, given that 0 - 14/5*n**4 + 4/5*n + k*n**2 + 6/5*n**3 - 2*n**5 = 0.
-1, -2/5, 0, 1
What is r in 4/7 - 10/7*r - 2/7*r**3 + 8/7*r**2 = 0?
1, 2
Let v(m) = 23*m**2 + 14*m**2 + m**3 - 38*m**2 + 2. Let d(t) = 2*t**3 - t**2 + 3. Suppose -2 = 3*b - 2*b. Let f(i) = b*d(i) + 3*v(i). Factor f(j).
-j**2*(j + 1)
Let o(j) be the first derivative of -j - 1/6*j**4 - 3 + 1/2*j**3 - 1/2*j**2. Let u(q) be the first derivative of o(q). Factor u(k).
-(k - 1)*(2*k - 1)
Factor -12*n**2 + 0*n**4 + 268 - 4*n**4 - 4*n - 12*n**3 - 268.
-4*n*(n + 1)**3
Let g(p) be the second derivative of -p**5/2 + p**4/2 + 4*p**3 + 4*p**2 - 32*p. Suppose g(j) = 0. What is j?
-1, -2/5, 2
Let i(b) be the third derivative of -b**7/3780 - b**6/1080 + b**4/24 - 2*b**2. Let o(w) be the second derivative of i(w). Factor o(r).
-2*r*(r + 1)/3
Let f(h) be the third derivative of -3*h**7/490 + h**6/70 - h**5/140 + 19*h**2. Suppose f(d) = 0. What is d?
0, 1/3, 1
Let 16/3 - 202/3*c**3 + 104/3*c - 140/3*c**4 + 98/3*c**5 + 124/3*c**2 = 0. What is c?
-1, -2/7, 1, 2
Let n be (-2)/6 + (-260)/(-6). Let v = -257/6 + n. Factor 0 + 1/6*c**2 - v*c.
c*(c - 1)/6
Let k = -1 + 3. Factor -3*g**2 + g - 5*g - k*g.
-3*g*(g + 2)
Let p(i) be the third derivative of i**8/2352 - 3*i**7/490 + i**6/35 - 4*i**5/105 + 4*i**2. Suppose p(r) = 0. What is r?
0, 1, 4
Let w(z) = 76*z**3 + 32*z**2 - 100*z - 120. Let p(a) = 7*a**3 + 3*a**2 - 9*a - 11. Let j(m) = -32*p(m) + 3*w(m). Factor j(u).
4*(u - 2)*(u + 1)**2
Let n(v) be the first derivative of -v**6/720 - v**5/240 + v**4/24 - 5*v**3/3 + 3. Let z(o) be the third derivative of n(o). Determine b, given that z(b) = 0.
-2, 1
Let g(h) = h - 3. Let q be g(5). Factor 0*c**4 - 2*c**3 + 4*c**3 - 5*c**5 - c**4 + q*c**5.
-c**3*(c + 1)*(3*c - 2)
Let o(g) be the second derivative of -g**7/42 + 4*g. Find u, given that o(u) = 0.
0
Factor -3/2 + 1/2*a**2 + a.
(a - 1)*(a + 3)/2
Solve -3/2*i**3 + 3/4*i**5 + 3/4*i + 1/2*i**2 - 1/4 - 1/4*i**4 = 0 for i.
-1, 1/3, 1
Let v = 23/21 + 4/7. Factor -v*d**3 + 0*d + 0 - 1/3*d**5 - 4/3*d**4 - 2/3*d**2.
-d**2*(d + 1)**2*(d + 2)/3
Suppose r - 8 = 4. Let c = r + -9. Suppose 120*p**2 - 9*p + 30*p**4 - 39*p + 8 - 112*p**3 - 18*p**2 + 20*p**c = 0. Calculate p.
2/5, 2/3, 1
Solve -2*x - 8*x + 100*x**3 - 3*x + 16*x**2 - 100*x**4 - 3*x = 0 for x.
-2/5, 0, 2/5, 1
Let n(a) be the first derivative of -2*a**3/9 - 2*a**2/3 - 2*a/3 - 4. Determine z so that n(z) = 0.
-1
Find r such that -2*r**4 + 2*r**4 - 9*r**4 + 15*r**3 + 12*r**2 - 12*r + 0*r**2 = 0.
-1, 0, 2/3, 2
Let o be 0 + ((-4)/(-60) - 3/(-9)). Factor -4/5*h**3 + 0 - o*h**2 + 2/5*h**4 + 4/5*h.
2*h*(h - 2)*(h - 1)*(h + 1)/5
Let u(a) = 7*a**2 + 2*a. Let x(r) be the second derivative of r**4/2 + r**3/3 - 2*r. Let q(y) = 5*u(y) - 6*x(y). Find w, given that q(w) = 0.
-2, 0
Let n be 16/(-24) - (-12)/9. Let 4/3*a - n - 2/3*a**2 = 0. Calculate a.
1
Find y, given that 108 + 2*y - 4*y**3 - 112 - 4*y**4 + 8*y**2 + 0*y**3 + 2*y**5 = 0.
-1, 1, 2
Let x(z) be the third derivative of -z**7/13860 - z**6/990 - z**5/165 - z**4/8 + 3*z**2. Let u(i) be the second derivative of x(i). Factor u(d).
-2*(d + 2)**2/11
Let z be (-1)/5 - 0 - 56/(-80). Factor 0*s + 0 + z*s**2.
s**2/2
Let n(u) = -u**2 + 11*u + 44. Let d be n(14). Factor -2/15*f**d - 16/15*f - 32/15.
-2*(f + 4)**2/15
Let v be (12/120)/(6/10). Suppose -1/6*x**4 + 0 - v*x**2 - 1/3*x**3 + 0*x = 0. What is x?
-1, 0
Factor 0*k + 1/5*k**2 - 1/5*k**3 + 0.
-k**2*(k - 1)/5
Let a(i) be the third derivative of i**6/360 - i**5/180 - 7*i**2. Factor a(b).
b**2*(b - 1)/3
Suppose -2*v = 3*p - 7*v + 7, 0 = -5*p + 2*v + 1. Suppose 4*s = -j - 4 - p, -3*s = j + 5. Solve 2/5*z**2 + 2/5*z**3 + s + 0*z = 0.
-1, 0
Let d(t) be the first derivative of -3*t**4/8 - 45*t**3/2 - 2025*t**2/4 - 10125*t/2 + 43. Let d(c) = 0. What is c?
-15
Let i(f) be the first derivative of -f**7/315 - f**6/180 + 2*f**2 + 5. Let y(r) be the second derivative of i(r). Factor y(q).
-2*q**3*(q + 1)/3
Let z be 0/((-9)/3 + 1). Let q(v) be the third derivative of -1/32*v**4 + 0*v**5 + 1/12*v**3 + z + 1/480*v**6 - 2*v**2 + 0*v. Let q(k) = 0. What is k?
-2, 1
Let x be 0 + (-2)/4*-1. Let f(s) = -s**3 + 3*s**2 + s - 1. Let h be f(-1). Suppose -3/4*v + x - 5/4*v**h = 0. Calculate v.
-1, 2/5
Let f(r) be the first derivative of -2/3*r**3 - 1/2*r**4 + 0*r**2 - 2 + 0*r. Factor f(q).
-2*q**2*(q + 1)
Let i(y) be the third derivative of -y**2 + 0 - 1/30*y**6 - 4/105*y**7 + 1/6*y**4 + 0*y + 1/12*y**3 + 1/8*y**5. Determine t so that i(t) = 0.
-1, -1/4, 1
Let p be 2/3*(12/16 + 0). Factor t**3 + 0*t**2 + 0*t**4 - p*t**5 + 0 - 1/2*t.
-t*(t - 1)**2*(t + 1)**2/2
Suppose 4*u - 4 = 3*a, -a - 4*u = -7 + 3. Let h(v) be the second derivative of 1/6*v**3 + 0 - 5*v + a*v**2 + 1/12*v**4. Solve h(k) = 0.
-1, 0
Let w(h) be the first derivative of -3*h**5/25 + 9*h**4/20 - h**3/5 - 9*h**2/10 + 6*h/5 + 9. Determine r, given that w(r) = 0.
-1, 1, 2
Let u(v) be the second derivative of 2*v + 0 + 0*v**3 + 1/36*v**4 - 1/6*v**2. Suppose u(f) = 0. What is f?
-1, 1
Let c(j) be the second derivative of -j**7/28 + j**6/20 + 3*j**5/20 - 6*j. Solve c(b) = 0.
-1, 0, 2
Let o(g) be the first derivative of -g**4/3 + 2*g**2/3 - 39. What is d in o(d) = 0?
-1, 0, 1
Factor -14/9*w + 2/9 + 14/9*w**3 - 2/9*w**2.
2*(w - 1)*(w + 1)*(7*w - 1)/9
Let s = -10 + 14. What is x in -s*x - 18*x**2 - 4 + 1 + 3 = 0?
-2/9, 0
Let c(f) be the first derivative of f**5/5 + 11*f**4/48 + f**3/18 - 8. Suppose c(a) = 0. Calculate a.
-2/3, -1/4, 0
Let p = -3 + 7. Let 4*a**4 - a**2 - a**p - 2*a**2 = 0. Ca | {
"pile_set_name": "DM Mathematics"
} |
d to 5 dps?
0
Round -0.000278066 to seven decimal places.
-0.0002781
Round -1.7539049 to one decimal place.
-1.8
Round -29419.78 to the nearest 10000.
-30000
Round 6.895 to the nearest 10.
10
What is 0.00002361139 rounded to 6 decimal places?
0.000024
What is -0.294586 rounded to two decimal places?
-0.29
What is -0.00590288 rounded to 5 dps?
-0.0059
Round -5549790 to the nearest one million.
-6000000
Round -8.831433 to two decimal places.
-8.83
Round 3740.15 to the nearest 1000.
4000
What is -0.964193 rounded to two dps?
-0.96
Round 165579.3 to the nearest one thousand.
166000
What is -0.000001817597 rounded to 7 decimal places?
-0.0000018
What is 6589740 rounded to the nearest ten thousand?
6590000
Round -0.0009056213 to four decimal places.
-0.0009
Round -0.275018 to two dps.
-0.28
Round -283460600 to the nearest one hundred thousand.
-283500000
What is 0.00099773 rounded to 5 decimal places?
0.001
What is 478.9 rounded to zero decimal places?
479
What is 0.0018200999 rounded to 4 dps?
0.0018
Round -7369.007 to the nearest ten thousand.
-10000
What is 325585500 rounded to the nearest one million?
326000000
What is -0.00192034 rounded to five decimal places?
-0.00192
What is -2.61845 rounded to the nearest integer?
-3
What is 0.5591701 rounded to 1 dp?
0.6
What is -1346489 rounded to the nearest one thousand?
-1346000
What is 4.2953 rounded to one dp?
4.3
What is -0.0007954187 rounded to five decimal places?
-0.0008
Round -0.02329061 to 3 decimal places.
-0.023
What is -0.093531 rounded to one dp?
-0.1
Round 0.389344 to 3 dps.
0.389
Round -3364700 to the nearest one million.
-3000000
Round -1054624.7 to the nearest 100000.
-1100000
What is 0.0055550566 rounded to four decimal places?
0.0056
What is 0.000037556 rounded to 6 dps?
0.000038
What is 0.046138199 rounded to 4 decimal places?
0.0461
Round 0.011928928 to 3 dps.
0.012
What is 0.0080027 rounded to three decimal places?
0.008
Round -0.063949512 to five dps.
-0.06395
Round -0.0003556122 to five dps.
-0.00036
What is -0.6701 rounded to the nearest integer?
-1
What is 36.449833 rounded to one dp?
36.4
What is 25.3362 rounded to 1 dp?
25.3
What is 0.000735067 rounded to six dps?
0.000735
What is -20289120 rounded to the nearest 1000000?
-20000000
What is 36744630 rounded to the nearest 100000?
36700000
Round 10985570 to the nearest 100000.
11000000
Round 0.3534 to 2 decimal places.
0.35
Round 891430 to the nearest 100000.
900000
Round 37.2454 to zero dps.
37
Round -0.01213536 to three dps.
-0.012
What is 0.49033 rounded to 1 decimal place?
0.5
Round 97393.6 to the nearest one hundred.
97400
What is -0.000297902 rounded to 4 dps?
-0.0003
Round -0.024312998 to five decimal places.
-0.02431
What is -12.05106 rounded to two decimal places?
-12.05
What is -2.9822 rounded to one dp?
-3
What is 0.521545 rounded to three decimal places?
0.522
Round 0.0000668313 to six dps.
0.000067
What is -0.00042349131 rounded to seven dps?
-0.0004235
Round -52.76964 to one decimal place.
-52.8
Round -0.0000024338 to 6 decimal places.
-0.000002
What is -0.003840871 rounded to five dps?
-0.00384
What is -0.0000914856 rounded to 7 dps?
-0.0000915
What is -4391.5276 rounded to the nearest ten?
-4390
Round -0.000018297514 to 5 dps.
-0.00002
What is -0.00000359513 rounded to six decimal places?
-0.000004
Round 70.60283 to the nearest integer.
71
What is -1.64358 rounded to one dp?
-1.6
What is 17.548262 rounded to 1 dp?
17.5
Round -30.70153 to one decimal place.
-30.7
Round -37781100 to the nearest 1000000.
-38000000
What is -15878.5 rounded to the nearest one thousand?
-16000
What is 0.0000008615089 rounded to seven dps?
0.0000009
What is 49.63529 rounded to the nearest 10?
50
What is 0.72310869 rounded to 3 dps?
0.723
What is -0.000029375 rounded to 6 decimal places?
-0.000029
Round 37359 to the nearest one thousand.
37000
What is -142565923 rounded to the nearest 1000000?
-143000000
Round 15849671 to the nearest one million.
16000000
Round 0.0361451 to 3 decimal places.
0.036
What is 0.0053304498 rounded to 6 dps?
0.00533
Round 79579.6 to the nearest 10000.
80000
Round 0.0068844093 to six decimal places.
0.006884
What is 2744355 rounded to the nearest ten thousand?
2740000
Round 865.936 to the nearest 10.
870
Round 0.006096189 to three dps.
0.006
Round 0.048603 to 2 decimal places.
0.05
What is 0.00011293019 rounded to 5 dps?
0.00011
What is -2.5988998 rounded to 1 dp?
-2.6
What is 2319715000 rounded to the nearest one million?
2320000000
What is 0.000577155 rounded to seven dps?
0.0005772
What is -0.0460606 rounded to four decimal places?
-0.0461
What is -0.0140059 rounded to 3 dps?
-0.014
Round 30612.6 to the nearest one hundred.
30600
Round 0.00003587697 to 6 decimal places.
0.000036
Round -4374110 to the nearest 1000000.
-4000000
What is 0.000765899 rounded to 4 decimal places?
0.0008
What is 1820424700 rounded to the nearest one million?
1820000000
Round -0.64134724 to 1 dp.
-0.6
Round 13.63698 to zero dps.
14
What is 0.000366433 rounded to 6 decimal places?
0.000366
Round 0.0234431 to 4 decimal places.
0.0234
Round -0.0004310176 to 6 dps.
-0.000431
What is 0.0066456 rounded to 1 decimal place?
0
What is -62.50709 rounded to the nearest ten?
-60
Round -2180.724 to the nearest 10.
-2180
What is -0.00001971172 rounded to six dps?
-0.00002
What is 0.2530321 rounded to 2 dps?
0.25
What is 0.79199 rounded to one decimal place?
0.8
What is -171.24851 rounded to 1 decimal place?
-171.2
Round 2586223.8 to the nearest 10000.
2590000
What is -2619612.4 rounded to the nearest 100000?
-2600000
What is 4585300 rounded to the nearest one hundred thousand?
4600000
Round -0.00005130205 to seven dps.
-0.0000513
What is -5.32973 rounded to the nearest integer?
-5
Round 7594970 to the nearest 100000.
7600000
What is -25814300 rounded to the nearest one hundred thousand?
-25800000
Round 1.0093461 to one dp.
1
Round 8786.104 to the nearest 100.
8800
What is -170591000 rounded to the nearest one hundred thousand?
-170600000
Round 0.827648 to three dps.
0.828
Round -1341143600 to the nearest one hundred thousand.
-1341100000
Round 0.0616059 to three decimal places.
0.062
Round 2606.366 to the nearest ten.
2610
What is -0.0000505276 rounded to seven decimal places?
-0.0000505
What is 0.00321382 rounded to 6 dps?
0.003214
What is -10103.143 rounded to the nearest ten?
-10100
Round 12591244 to the nearest one hundred thousand.
12600000
Round -799109000 to the nearest one million.
-799000000
Round 0.00031809238 to four dps.
0.0003
Round 1472.757 to the nearest 100.
1500
Round 0.38823 to 2 dps.
0.39
Round -6.50616 to 1 decimal place.
-6.5
What is -0.030329 rounded to one dp?
0
Round 0.01512345 to four decimal places.
0.0151
Round -4792879300 to the nearest one million.
-4793000000
Round -0.1370916 to 3 decimal places.
-0.137
Round -2691744 to the nearest 1000000.
-3000000
Round -0.0633578 to 4 dps.
-0.0634
What is -0.2033433 rounded to 2 dps?
-0.2
Round -98862 to the nearest 10000.
-100000
What is -6057911000 rounded to the nearest one million?
-6058000000
What is -0.4737093 rounded to 2 decimal places?
-0.47
What is -40192.07 rounded to the nearest 10?
-40190
Round 960857 to the nearest 10000.
960000
Round 979497.2 to the nearest one thousand.
979000
What is -115.7234 rounded to 0 dps?
-116
Round -0.0001076 to 5 decimal places.
-0.00011
Round -0.00000075084 to seven dps.
-0.0000008
Round 0.001135741 to 6 dps.
0.001136
What is -0.00217627 rounded to three dps?
-0.002
Round -0.000535058 to 4 decimal places.
-0.0005
Round 0.00936281 to 3 dps.
0.009
What is -0.0000482309 rounded to seven dps?
-0.0000482
Round 0.035136 to four dps.
0.0351
Round 0.004997366 to 5 decimal places.
0.005
Round -0.0062881 to four dps.
-0.0063
What is 0.0003421694 rounded to 6 decimal places?
0.000342
Round -0.01914204 to three decimal places.
-0.019
Round 20420.21 to the nearest 10.
20420
What is -0.0429869 rounded to four decimal places?
-0.043
Round -121564960 to the nearest 100000.
-121600000
Round 12.40675 to two decimal places.
12.41
What is -0.000000039895 rounded to seven dps?
0
What is 876.0981 rounded to the nearest 100?
900
Round 0.0008589228 to 6 dps.
0.000859
Round -0.000180228 to 5 dps.
-0.00018
Round -0.0013601974 to 7 dps.
-0.0013602
Round -524 | {
"pile_set_name": "DM Mathematics"
} |
-0.029830971 + 0.029858. What is n rounded to 6 dps?
0.000027
Suppose -14595 = -13*m - 172181. Let y = 18957 + m. What is y rounded to the nearest 100?
6800
Suppose 16*c - 18*c + 14454180 = -31*c. Round c to the nearest one thousand.
-498000
Let m = 207.83 - 176.2. Let r = 32 - m. Let j = r - -0.59. Round j to one dp.
1
Let z be ((96544/49)/((-18)/(-21)))/(1/(-6)). What is z rounded to the nearest one hundred?
-13800
Let u = -267.54 + 264. Let z = u + -1.28. What is z rounded to the nearest integer?
-5
Suppose -2*r - 1957563 = -11*r. Suppose -5*q - r = 487493. Round q to the nearest 100000.
-100000
Let r(u) = 0 + 5*u + 498*u**3 - 3 + 18*u**2 - 13*u + 113*u**3. Let d be r(14). Suppose -a = -5*a - 3*p + d, a = 4*p + 420004. Round a to the nearest 100000.
400000
Suppose 16 = q - 4*q + 5*c, q - c + 2 = 0. Suppose q*f + i + 43 = -3*i, i + 13 = -f. Let x be 216/3*30/f. Round x to the nearest 100.
-200
Let b = -1356606428 + 1356606895.9999895. Let j = b - 468. What is j rounded to 6 dps?
-0.000011
Let h be (450*-100)/(48/520480). What is h rounded to the nearest one million?
-488000000
Let u = -313.2 - 39.8. Let m = 353.343 + u. Round m to two decimal places.
0.34
Let k = -429 + 428.997511. Round k to 4 dps.
-0.0025
Let m = 11747 + -6497. Round m to the nearest one thousand.
5000
Let r = 5059809518.111 - 5055822142. Let f = r + -3987731.1110326. Let j = -355 - f. Round j to five dps.
0.00003
Let i = 386.866 - 15.556. Let x = i - 371. What is x rounded to one decimal place?
0.3
Let q = -10446785.11899997 + 10446736.119. Let x = -63.54 - -14.54. Let m = x - q. What is m rounded to seven decimal places?
0
Let b = 7.1 + -1.1. Let i = 16441.64 + -16447.639844. Let l = i + b. Round l to 5 decimal places.
0.00016
Let m = -6017941202.40000329 + 6017941283. Let d = m - 80.6. What is d rounded to six dps?
-0.000003
Let h = -0.6606 - -1.31544. Round h to one decimal place.
0.7
Let y(d) = 797*d**3 - 7*d**2 - 46*d + 11. Let g be y(19). Suppose 5*v = -g + 15163233. What is v rounded to the nearest one hundred thousand?
1900000
Suppose -16*i + 15 - 255 = 0. Let n be 36809998 - (-20)/i*(-18)/12. What is n rounded to the nearest one million?
37000000
Let i = -10.67331 + -14.43857. Let t = 25.1 + i. Round t to 3 decimal places.
-0.012
Let r be (-717)/(-1912) + 243*1/(-8). Let n be 200/(-15)*6/2. Let t = n + r. What is t rounded to the nearest one hundred?
-100
Let c = -3043 + 4506. Let y = 1463.0000889 - c. What is y rounded to 5 dps?
0.00009
Let k be ((-16)/12)/(2/6). Let b be 7 + k/2 + 4. Let v(o) = -286665*o - 15. Let r be v(b). What is r rounded to the nearest 100000?
-2600000
Suppose -2*l + 2*m + 17404 = 0, 0 = 5*m - 10 - 15. Let u be (l + -7)/(-3)*17. Round u to the nearest one thousand.
-49000
Let h be (-260)/78*(-6)/4. Let c be (-6 - 44699997/3) + h. What is c rounded to the nearest one million?
-15000000
Let c = -29826136902.00002194 + 29826136589. Let t = c - -313. Round t to five decimal places.
-0.00002
Let r = -0.099 + 44.299. Let o = 0.313 + 55.687. Let m = r - o. What is m rounded to the nearest integer?
-12
Let j = 0.53851 - 0.5362031. What is j rounded to five decimal places?
0.00231
Let d = 0.0165 + 0.3265. Let b = 0.34936 - d. What is b rounded to four dps?
0.0064
Let j = -143.15916 - -146.188. Let u = 3.03 - j. Round u to 4 decimal places.
0.0012
Let j = 152 + -172. Let w = j - -19.98848. Round w to three dps.
-0.012
Let a = -1.845924 - -1.8958. What is a rounded to 4 decimal places?
0.0499
Let c = -26.965 + 27. Let w = c - -0.034. Let y = w - -0.071. Round y to 2 decimal places.
0.14
Let i = 641 - 968. Let k = 1228692.9719 + -1229020. Let q = k - i. What is q rounded to 3 dps?
-0.028
Let l = -3882.05 - -3513. Let t = l - -366. What is t rounded to the nearest integer?
-3
Let q = 67 - 37.4. Let r = 39.3 - 92.5. Let i = q + r. Round i to the nearest integer.
-24
Let n = 822.188 + -819. Let z = -3.187996623 + n. Round z to seven decimal places.
0.0000034
Let c(z) = -9407*z - 15. Let n be c(-9). Suppose 3*x + 14948 = -u + n, 5*u + 5*x = 348500. What is u rounded to the nearest 10000?
70000
Let s(f) = 13364*f**2 + 36*f - 280. Let t be s(21). Round t to the nearest one million.
6000000
Let f = 8504929.0754 - 8505690. Let t = f + 761. What is t rounded to 2 dps?
0.08
Let y = 11 + -11.125. Let s = y - -229.125. Let b = s - 229.0426. Round b to two dps.
-0.04
Let q = -19.623427 + 0.217787. Let t = q + 19.4. Round t to three decimal places.
-0.006
Let w = -8834907 - -8774009.0504. Let h = 60861 + w. Let c = h - -37. Round c to two dps.
0.05
Let s(p) = -5*p**2 - 4*p + 3. Let n be s(1). Let c be -111*n*4200/(-54)*250. Round c to the nearest one million.
-13000000
Suppose 0 = 3317*z - 3340*z + 44413. Round z to the nearest 100.
1900
Suppose 10*m - 46 = 24. Let i be 1 + m/(-6) + 675009/54. Let y be 9/((-18)/208)*i. What is y rounded to the nearest 100000?
-1300000
Let i = 5.076160464 - 3716.074661464. Let q = i + 3711. Round q to four decimal places.
0.0015
Let m = -98 + 111. Suppose 5*u + 94480 = m*u. Round u to the nearest 1000.
12000
Let h = -17409127505797477.73999637 + 17409127576418685. Let j = -70621208 + h. Let b = j - -0.74. What is b rounded to 6 decimal places?
0.000004
Let y = 4.258 + -1887.258. Let j = y - -2003.22. Let k = j + -119. Round k to one dp.
1.2
Let o = -5.04088 - -4.9838738. Let s = -0.138 + 0.195. Let n = s + o. Round n to 6 dps.
-0.000006
Let u = -0.032507 + 0.0325044759. Round u to seven decimal places.
-0.0000025
Let t = -4.58 - -4.57964355. Round t to 5 decimal places.
-0.00036
Let o = -1399010058.9625643427 + -0.0374356573. Let y = o + 1399010272.0000442. Let r = 213 - y. Round r to six dps.
-0.000044
Let b = 15031.6 + -15031.68300264. Let d = b - -0.083. What is d rounded to seven decimal places?
-0.0000026
Let t = 214 - 214.000711. Round t to 4 decimal places.
-0.0007
Let b = -9441 - -9448.306. Let g = 459.426 - 459. Let z = g - b. What is z rounded to the nearest integer?
-7
Let u = -24864 + 24864.0000018203. Round u to 7 decimal places.
0.0000018
Suppose 0 = j - 2*j + 4. Suppose 4*s = -3*b - 0 + 1, -5*b = -j*s + 41. Let a be ((-390)/(-4))/(b/(-20)). What is a rounded to the nearest 100?
400
Let j(q) = -8*q**2 + 2 - 3 + 0 + 13*q**3 + 15*q - 4. Let i be j(5). Let c = i + -2105. Round c to the nearest 100.
-600
Let q = -1839980 + -1323720. Round q to the nearest 100000.
-3200000
Let q = -15101 - 12295. Let d = -52796 - q. Round d to the nearest 10000.
-30000
Suppose h - 3 = -d, 17 = -4*h + 1. Let n be (d + (-59)/2)*2104/(-3). What is n rounded to the nearest one thousand?
16000
Let c = 0.38758 + -0.38790662. Round c to 6 decimal places.
-0.000327
Let v = -323.2 + 53.2. Let y = v + 256.9. What is y rounded to 0 dps?
-13
Let q = 0.9038633 - 0.0037313. Let u = -41 - -41.9. Let i = u - q. Round i to 5 decimal places.
-0.00013
Let o = 0.036835 + 2.282465. Round o to 2 decimal places.
2.32
Let t = -4679 - -6562.2. What is t rounded to the nearest 10?
1880
Suppose 38*h - 38514800 = 20*h - 55*h. What is h rounded to the nearest 1000000?
1000000
Let a = -2643 + 2643.1277. Let f = a + -0.128914. Round f to four decimal places.
-0.0012
Let r = -681628 - -69801628. Suppose 89*t - r = 105*t. What is t rounded to the nearest one million?
-4000000
Let p = 0.12138 - 457.92138. What is p rounded to the nearest ten?
-460
Let g = -0.0513 + -669.9487. Let y = g - -669.998605. Round y to 5 decimal places.
-0.0014
Let i = -3.8539 + -0.8731. What is i rounded to zero decimal places?
-5
Let m = 32940.56 - 33921. Let r = 914 + m. Let v = r + 65. What is v rounded to 1 decimal place?
-1.4
Let i be -3 - (5 + (1 - -1764)). Let x be 2/(-13) - i/117. Let h be 640/x*93*50/4. What is h rounded to the nearest 1000?
50000
Let y = 5 + -2. Suppose 2*b + 53041050 = y*b. Let s = -30041050 + b. What is s rounded to the nearest 1000000?
23000000
Let o = -279 + 278.99990046. Round o to 6 decimal places.
-0.0001
Let u = 1812.97605 - 1814. What is u rounded to 1 dp?
-1
Suppose 4*q = -2*d + 8, -2*q + d + 4 = -3*d. Let c be q + (-7924)/10 + 6/15. Let a = c + 390. Round a to the nearest one hundred.
-400
Let d = -29 - -30.31. Let a = -2613.760345 + 2612.450345053. Let j = d + a. What is j rounded to 7 decimal places?
0.0000001
Let k = 1696 - 1695.999992232. Round k to | {
"pile_set_name": "DM Mathematics"
} |
0 = 2*f, -4*l = 5*f - 7. Sort -1/3, 1/8, -0.3, l in descending order.
1/8, -0.3, -1/3, l
Let f be ((0 + -4)/4)/(-1). Let i = -23 - -38. Let w = 13 - i. Sort f, -5, w in decreasing order.
f, w, -5
Let a be (-6)/(-9) + -1 + (-3484)/42. Let y = a + 83. Sort -5, 14, -3, y in descending order.
14, y, -3, -5
Suppose 0 = -8*m + 7*m + 2. Let l(s) = -14 + m - 47*s + 48*s. Let i be l(10). Put 4, i, -1 in ascending order.
i, -1, 4
Let o = 11/30 + 2/15. Let m be (-201)/(-7) + (2/1 - 1). Let j = -30 + m. Sort -2/15, j, o in increasing order.
j, -2/15, o
Let m(j) = -3*j**3 - 3*j**2 - j - 2. Let i(q) = 16*q**3 + 14*q**2 + 4*q + 11. Let g(k) = 2*i(k) + 11*m(k). Let l be g(-4). Put 4, -1, l, -2 in decreasing order.
4, -1, -2, l
Let m(b) = b**2 + 4*b - 7. Let s be m(2). Suppose -8*o + 37*o = 0. Sort o, 3, s, 2 in decreasing order.
s, 3, 2, o
Let t = -274 + 275. Sort t, -1, -4 in descending order.
t, -1, -4
Let k = 1.842 - 1.892. Put 5.2, k, 0.3 in descending order.
5.2, 0.3, k
Let h = -48 - -47.7. Let a = -13.2 + 13. Sort h, 1, a, 5 in decreasing order.
5, 1, a, h
Let w be (31/124)/(1/(-4)). Sort -6, 1, w, 16.
-6, w, 1, 16
Let q be (-20 + (-2431)/(-119))*(-14)/(-6). Let v be (8/3)/((-2)/54). Put v, q, -4 in decreasing order.
q, -4, v
Let t = 324 + -327. Let i(c) = 0*c**2 + 0*c**2 - 1 - c**2. Let l be i(2). Put t, -2, l in decreasing order.
-2, t, l
Let t = 9.2 + -9.239. Let k = t - 0.061. Put 0.4, k, -2, 0 in ascending order.
-2, k, 0, 0.4
Let o = -44 + 51.8. Let j = o - 3.8. Sort -1/2, 0.1, -5, j in increasing order.
-5, -1/2, 0.1, j
Let q be 5 + 85/(-15) - 68/(-3). Put -3, -2, q, 0 in decreasing order.
q, 0, -2, -3
Let c = 6.97 - 5.97. Put 3, 15, c in decreasing order.
15, 3, c
Let j = -8 + 3. Suppose -4*c + 12 = -3*d + 5, 5*d - 31 = -4*c. Sort j, 2, c in ascending order.
j, 2, c
Let w be ((-248)/20 + 12)/(13/5). Sort w, 2, 5/3 in descending order.
2, 5/3, w
Suppose 0 = 5*y - 0 + 20. Let u = y + -22. Put -5, 3, u in ascending order.
u, -5, 3
Let x be (3/9 - 1)/(80/(-48)). Sort -6, x, 0.2, -2/5 in decreasing order.
x, 0.2, -2/5, -6
Suppose n + l + 2 = -2*n, l = n + 6. Let c be 3 + 10/n - 3. Let k(x) = -x**3 + 6*x**2 - 2*x + 4. Let m be k(6). Put 1, c, m in increasing order.
m, c, 1
Suppose 0*i - 1 = -4*i + j, 3*i = -5*j - 5. Suppose o - 2*h + 5 - 2 = i, -o = -h + 2. Suppose -3*c + 4*c = -2. Put o, c, 4 in descending order.
4, o, c
Let d = 6.67 + -9.67. Put -1, 0.17, d in decreasing order.
0.17, -1, d
Let h = 18.23 + -18.18. Put 2, -0.1, -2/5, h in increasing order.
-2/5, -0.1, h, 2
Let k(s) = -s**3 + 5*s**2 + 5*s + 5. Let r be k(6). Let j = 60.99 - 59. Let n = 0.01 + j. Put 4/3, r, n in descending order.
n, 4/3, r
Let n = 1 + -1. Let q be (-1)/(-9)*2 - 220*32/5760. Sort -2, q, 5, n in descending order.
5, n, q, -2
Let v(n) = -n**3 + 4*n**2 - 4*n. Let b be v(3). Let a be (13 + 1 + -2)/2. Let j be (-4)/a + 56/12. Put b, j, -5 in increasing order.
-5, b, j
Let k = 4357.139 - 4362. Let p = -0.139 + k. Put -1/9, 3, p, -0.3 in decreasing order.
3, -1/9, -0.3, p
Let c = -0.076 - -7.076. Sort -4, -1, 0.5, c in descending order.
c, 0.5, -1, -4
Let k = 0.88 - 0.59. Let n = -0.49 + k. Let o = 9 - 5. Put -0.4, n, o in decreasing order.
o, n, -0.4
Let s = 1149 - 1149.5. Put s, 9, -14 in descending order.
9, s, -14
Suppose 3*z + 5 = 4*z. Suppose -35 + 0 = -5*n - 5*g, -2*n + 20 = z*g. Put -4, 0.3, 2/9, n in ascending order.
-4, 2/9, 0.3, n
Let a(w) = w**2 - 2*w + 10. Let u be a(5). Put 4, 0, u in increasing order.
0, 4, u
Let o be (1 - -3)/(-2) - -22. Let l = -15 + o. Let t = 14 - l. Sort 4, -5, t in decreasing order.
t, 4, -5
Let p be ((-2)/(-12))/(10/15). Suppose 3*f = -2*v - 12, -29*v + 4*f = -33*v - 16. Sort 1, p, v in descending order.
1, p, v
Let j = -11 - -31. Suppose 5*i - i = j. Suppose -p + 3 = -g, -5*g + 8 = p + 29. Sort -3, i, g.
g, -3, i
Let b = -36 + 35.7. Let y be (3/(-9))/((-2)/24). Suppose r + u = -0*r + y, -2*u = 2. Put b, r, -1 in ascending order.
-1, b, r
Let a = -0.94 - -1.74. Let m = -4 - -4.6. Let h = m - a. Sort 0.4, -2, h in increasing order.
-2, h, 0.4
Suppose -180 = 49*z - 4*z. Let j be 1 + 0 + (-5)/3. Sort j, z, -0.3, 3.
z, j, -0.3, 3
Let o = 2556 + -2560. Let m = 6 - 11. Sort o, -0.3, -0.5, m.
m, o, -0.5, -0.3
Let c be (-8)/10*15/6. Sort -1, 5, -11, c.
-11, c, -1, 5
Let w = -191 + 188. Let p be (1/2)/((-2)/(-12)). Let q(o) = o**2 - 2*o - 1. Let g be q(p). Put w, 3, g in decreasing order.
3, g, w
Suppose v + 2*h + h = -16, 3*v - 8 = 5*h. Let t = -9 + 7. Sort t, 3, 2, v in increasing order.
v, t, 2, 3
Let u = -3.5 + 10.2. Let g = u - 7. Sort g, 1, -0.1 in descending order.
1, -0.1, g
Let j = -46.6 - -47. Sort 0, j, -1.6 in descending order.
j, 0, -1.6
Suppose -3*z - 64 = 4*t, -16 = -t + 2*t + 2*z. Sort t, 4, 5 in ascending order.
t, 4, 5
Let d = 147 - 144. Let c = 0.9 - 0.4. Sort d, -0.3, -1/4, c.
-0.3, -1/4, c, d
Let f be -3 - (-1)/2*-2*1. Suppose 2*v + 9 = -2*h + 25, -2*h + 4 = -2*v. Sort h, 1, f, 0.
f, 0, 1, h
Let j = -65 - -64. Let n be (j/3)/((-3)/9). Suppose 15 = 4*o + 5*x, 3*o = o - 3*x + 7. Sort 2, n, o in decreasing order.
o, 2, n
Let b be (-2)/(-5) - (-3 + (-56)/(-20)). Sort -0.02, -10, b, 0.5 in ascending order.
-10, -0.02, 0.5, b
Suppose -39*z + 20 = -34*z. Suppose 4*w = w - 3*l - 3, 0 = 5*w + z*l + 2. Suppose b - s + 5*s - 13 = 0, -3*s = -3*b - 6. Sort w, b, -2 in increasing order.
-2, b, w
Let x be -2 + (1 - (0 + 0)). Let n(m) be the first derivative of -m**2/2 - 7*m - 33. Let k be n(-12). Sort -3, x, k in descending order.
k, x, -3
Let j be (-266)/126 - (-2)/6. Sort j, -3, -0.5, 1.
-3, j, -0.5, 1
Let p = 0.1053 - -53.8947. Put p, 0.3, 0.4, 0 in ascending order.
0, 0.3, 0.4, p
Let b = -54 + 148. Let s = b + -91. Let x = 121 - 368/3. Sort -1, x, s.
x, -1, s
Let x = 159/118 + -50/59. Sort x, 2/5, -4, 23.
-4, 2/5, x, 23
Let y be (-206)/17 + (-6)/(-51). Let p be (3 - 2) + -3 + (-28)/y. Sort p, -2, -5/2.
-5/2, -2, p
Let g = 0 - -0.1. Let a = 2.1 - g. Let h be (-10)/12*(-5)/((-20)/(-6)). Sort -4/3, h, a in descending order.
a, h, -4/3
Let w = 24.94 + 0.06. Let d = w + -35. Put d, 0, 4 in ascending order.
d, 0, 4
Let v(p) = 2*p**2 + 4*p + 3. Let m be v(-5). Let r = -36 + m. Sort 3, r, 4 in decreasing order.
4, 3, r
Let w = 0.99 - 1.121. Let v = w - -0.031. Let m = -41 - -202/5. Put v, -4, m in decreasing order.
v, m, -4
Let m be ((-6)/(-10))/(5 - (-52)/(-10)). Sort m, -4, 0.69 in descending order.
0.69, m, -4
Let q be -24 + 24 + (3 - (-1 + -1)). Put 33, 3, q in ascending order.
3, q, 33
Let o = -845 - -844. Put -4, 2, 3, o in ascending order.
-4, o, 2, 3
Let t(z) = -z**3 - 3*z**2 + 3. Let j be t(-3). Let b be (-5 - 1) + 5 + -3. Sort 2, -3, j, b in ascending order.
b, -3, 2, j
Suppose 4*t + 14 = n, 5*t + 3*n - 73 = -99. Sort 0.5, -0.14, 0.03, t.
t, -0.14, 0.03, 0.5
Let k(y) = -2*y - 44. Let m be k(-22). Put 18, m, 4 in ascending order.
m, 4, 18
Let n = -125.14 + 137. Let m = -0.14 - n. Let f = 9 + m. Sort f, -4, -2.
-4, f, -2
Let j(k) = -5*k - 5 - k**3 + 4 - 6*k**2 - 3. Let m be j(-5). Suppose -4*s - 3 = 3*w, 2*s - 4 = 3*w - 1. Sort m, w, 5.
m, w, 5
Let w = -0.044 - -2.044. Let m(q) = -q**3 + 3*q**2 + 2. Let u be m(3). Let b be (-11)/10 - (-2)/u. Put b, w, -4 in ascending order.
-4, b, w
Let d(a) = 13*a - 21. Let q be d(11). Let s = 364/3 - q. Sort s, 1/11, 5, 2 in decreasing order.
5, 2, 1/11, s
Let j be (-5 + 9)*(-2)/20. Let d(o) = -o + 17. Let t be d(9). Put j, t, -0.3 in decreasing order.
t, -0.3, j
Let l = -92.6 - -93. Let i = -10.1 - 4.7. Let p = i - -15. Put 0, p, l in decreasing order.
l, p, 0
Let y = -0.078 - 73.922. Let g = y + 105. Let i = g - 30.98. Put -1, 0.5, i in descending order.
0.5, i, -1
Let j = -6 + 6. Let p be j + 1 + -1 + 0. Let x = -1 - p. Put 4, x, -3 in descending order.
4, x, -3
Let z = -33 + 28. Let a = 19 - 24. Let n(v) = -v - 2. Let u be n(a). Put 4, u, z in decreasing order.
4, u, z
Let c = -47646 - -71760. Let b = -193865/8 + c. Let n = 119 + b. Sort n, -2/13, 0.
-2/13, n, 0
Suppose -2*z + 2 + 0 = -5*w, -10 = w + 2*z. Sort 0.4, 4/7, w, -0.259 in decreasing order.
4/7, 0.4, -0.259, w
Suppose 25 = -5*n + 4*l + l, 14 = -2*n + 4*l. Put -1, -4, n, -7 in increasing order.
-7, -4, n, -1
Let t be 5 + (-57)/11 - (-40)/(-22). Sort 8, t, 4 in increasing order.
t, 4, 8
Let x = 8 - 10. Let o be 5*-1*6/10. Sort o, x, -0 | {
"pile_set_name": "DM Mathematics"
} |
0. What is the tens digit of j?
1
Let z = 23 + -47. Let f be (z/10)/(22/110). Let l = -7 - f. What is the units digit of l?
5
Let r(m) = 5*m**2 - 20*m - 4. What is the units digit of r(9)?
1
What is the hundreds digit of 82/5*(-18 + 68 - 15)?
5
Let g be ((-3)/(-4))/((20/(-304))/5). Let o = 100 + g. What is the tens digit of o?
4
Let r(s) = -s**2 - 13*s - 8. What is the units digit of r(-6)?
4
Let g be 2*(2 + 2)*14. Let s = 178 - g. What is the tens digit of s?
6
Suppose -2*f - 5*r + 1672 = 182, 0 = 5*f - 4*r - 3791. What is the tens digit of f?
5
Suppose 3*b + o = -3*o - 825, -o + 1398 = -5*b. Let d = b - -483. What is the tens digit of d?
0
Let x = -36 + 41. Suppose -2*c + 2*y + 134 = 0, 18 = 3*c - x*y - 185. What is the tens digit of c?
6
Let r(l) = 3*l**2 + 27*l - 247. What is the hundreds digit of r(14)?
7
Let v(r) = 9*r + 3. Let l be v(-6). Let t = l - -101. What is the units digit of t?
0
Let v = -12 + 13. Let u(o) = 3*o**2 + 1. Let c be u(v). Suppose 0*f + 132 = c*f + 2*z, 3*z - 23 = -f. What is the units digit of f?
5
Suppose 0 = 2*h + 2*i - 17 + 73, -3*h = -4*i + 91. Let t = -25 - h. Suppose -t*z + 7*z = -d - 1, -2*d + 48 = -4*z. What is the units digit of d?
4
What is the units digit of ((-9)/3 - 10/(-3))*24?
8
Let p be 3*(-4)/(-12*1). Let f = -13 - -8. What is the tens digit of (-264)/(-5) - p/f?
5
Let w = -15 - -11. Let t(d) = d**3 + 4*d**2 - 6*d - 3. Let o be t(w). Suppose 11 = 4*r - o. What is the units digit of r?
8
Let r(i) = 3*i**2 - 5*i + 4. Let y be r(1). Let q(k) = 5*k**3 - 4*k**2 - k + 2. What is the units digit of q(y)?
4
Suppose -5*j = 5*u - 290, -1 = j + 1. Suppose -4*s - 52 = 2*z, z = -5*s - u + 1. Let k = s - -38. What is the tens digit of k?
2
Let q be 1/1*(4 - 0). Let t(h) = 28*h**2 - 4*h - 4. Let b be t(q). What is the units digit of b/7 - (-1)/(-7)?
1
Let i(q) = -2*q**2 - 9*q - 13. Let c(d) = -d**2 + d. Let n(r) = 3*c(r) - i(r). Let h be n(9). What is the units digit of 432/h + 1/5?
1
Suppose 2*q + n = 1695, -q = 2*q - 4*n - 2548. What is the units digit of q?
8
Let i be (1 - 1)/(5 + -7). Suppose -5*x + 23 + 12 = i. Suppose x - 3 = f. What is the units digit of f?
4
Suppose -j = -5*w - 259, 4*w - 2*w - 578 = -2*j. What is the tens digit of j?
8
Let l(z) = -11*z - 3. Let m = 7 - 22. Let n = m + 12. What is the tens digit of l(n)?
3
Suppose 68*b - 63*b - 6710 = 0. What is the hundreds digit of b?
3
Suppose -5*v + 5 = -10. Suppose y - 2*j = -0*j + 8, v*j = 5*y - 75. Suppose -4*i - 2*t + y = -3*i, -3*i - 3*t = -45. What is the units digit of i?
2
Suppose -4*b = -q - 3546, 0 = 4*b - 2*q + 7*q - 3558. What is the units digit of b?
7
What is the tens digit of 4 + -1 - (-25)/((-100)/(-1992))?
0
Let m = -3 - 1. Let s = 6 + m. What is the units digit of s?
2
Let l be 1*(4 - 0) + 271. Suppose 75 = -5*i + l. What is the units digit of i?
0
Let c(m) be the third derivative of -m**5/60 + m**4/6 + m**3/6 + 8*m**2. Let y be c(5). What is the tens digit of y/12*-3 + 12?
1
Let i be 4 - (1 - -4*(-14)/4). Let t = i - -82. What is the tens digit of t?
9
Suppose -4*p - 4*y - 64 = 0, y - 29 = -0*p + 2*p. Let d(f) = -f**3 - 15*f**2 - 4*f - 22. What is the units digit of d(p)?
8
Suppose 5*c = -4*v + 134, 0 = 4*c + v - 119 + 3. Let y = -30 + c. Suppose y = 4*g + 1 - 5, -2*g + 307 = 5*u. What is the units digit of u?
1
Let t(i) be the second derivative of -193*i**5/20 + i**4/12 + i**3/2 + i**2/2 - 39*i. What is the tens digit of t(-1)?
9
Suppose 0*a - 3*a - 108 = 0. Let j be 8/(-3)*a/24. Suppose -2*x - 23 = -2*p - 85, 0 = -2*x + j*p + 58. What is the units digit of x?
3
Suppose 0 = -v - 2*m + 615, 4*v - 8*v - 2*m = -2436. What is the units digit of v?
7
Let r(f) = 398*f**2 - 4. What is the hundreds digit of r(-2)?
5
Let u be (526/4)/(3/6). Suppose 5*j - 353 = -4*p, 4*j + 3*p - 20 = u. What is the units digit of j?
3
Let f(a) = -a**2 - 18*a - 76. Let t be f(-12). Let r(g) = -3*g**3 - g + 1. Let m be r(1). What is the units digit of (-5)/(m + (-11)/t)?
0
Let r = 753 - 405. What is the tens digit of r?
4
Suppose -2*x + 0*x = 2*r - 120, -2*x - 3*r + 122 = 0. Let q = 118 - x. What is the units digit of q?
0
Suppose -33*p + 6358 = -22*p. What is the tens digit of p?
7
Let c = 539 - 176. What is the tens digit of c?
6
Suppose -3*n + 4*n - 9 = 0. Suppose 0 = 2*f - 5*f + n. Suppose -f*x = -x - 6. What is the units digit of x?
3
Suppose 353 = -10*f + 3653. What is the tens digit of f?
3
Let h = -17 + 23. Suppose -6*x + 48 = -2*x. What is the units digit of h*x/8 + 3?
2
Let v(j) = 38*j**2 - 32*j - 41. What is the units digit of v(-7)?
5
Suppose 5*n + 1464 = 8*n. Let s = -266 + n. What is the tens digit of s?
2
Let l = 19 + -9. Suppose l*n = 3*n + 273. What is the tens digit of n?
3
Suppose -2 = 2*t - 112. Suppose -3*a = 13 - t. What is the units digit of a?
4
Suppose 517 = 4*f + 5*m, 0*m + m = 3*f - 364. What is the tens digit of (50/2)/(7 + f/(-18))?
5
Suppose -x = 19*z - 18*z - 103, -x + 2 = 0. What is the hundreds digit of z?
1
Let k(l) = 136*l**2 + 2*l. Let z be k(1). Suppose -1 = q - 4*a, -4*a + 45 = 3*q - 0*q. Suppose -8*u - z = -q*u. What is the units digit of u?
6
Let g(l) = 6*l**2 + 39*l + 10. What is the units digit of g(-12)?
6
Suppose 2 = 4*u - 10. Let f be (-66)/18 - 1/u. Let v(b) = -15*b + 9. What is the units digit of v(f)?
9
Let f be 10/(-35) + 1539/21. Let o = f + -53. What is the tens digit of o?
2
Let f(d) = 27*d - 12. Let l be f(6). Let z = -99 + l. What is the tens digit of z?
5
Suppose -14*i - 5161 = -27*i. What is the hundreds digit of i?
3
Let s be 20/(-25)*(-10)/4. Suppose -s*h + 4 = 10. What is the units digit of h/(-4)*32/12?
2
What is the units digit of ((-351)/36)/((-28)/(-16) + -2)?
9
Suppose 4*r - 2 = 6, r = -2*n + 60. Let z = -12 + n. What is the tens digit of z?
1
What is the units digit of 5/30 + (-3922)/(-12)?
7
What is the units digit of (-1 + -56)/(9/(-57) + 0)?
1
Suppose -5*z + 128 = o, 5*o = 3*z - 0*z + 752. Let a = -86 + o. What is the tens digit of a?
6
Let a = -69 - -62. What is the units digit of (-391)/a - (-39)/273?
6
Let m = -46 - -1. Let p = 10 - m. What is the tens digit of p?
5
Let g = -64 - -34. Let j = g - -92. What is the tens digit of j?
6
Let m be (4 + 56/(-20))*-15. Let v = m - -24. What is the tens digit of v/3 - (-21 + 0)?
2
Suppose -2*b + 7*b - n = 7469, -2*b + 5*n = -3006. What is the units digit of b?
3
Let u(d) = d**3 + 6*d**2 - 2*d - 11. Let y be u(-6). Let c(x) = 2*x + 0 + 8*x**2 + y - 8*x**2 - 19*x**3. What is the units digit of c(-1)?
8
Suppose 2*r - 11 - 7 = 0. Suppose -2*q + r = q. Suppose 2*k - q*s - 69 = 2*s, 3*k = -3*s + 114. What is the units digit of k?
7
Let n(v) be the second derivative of 12*v + 0 + 5/2*v**3 - 1/2*v**2. What is the tens digit of n(1)?
1
Let x be 3*(1 - 1 - -3). What is the units digit of 489/9 - 3/x?
4
What is the hundreds digit of 746 + 5*(-12 - -10)?
7
Suppose 0 = 6*y - 0*y - 30. Let d be 8/(-5)*y/(-2). Suppose 2*l + 9 = d*p + p, 0 = 5*p - 4*l - 13. What is the units digit of p?
1
Suppose 0 = -3*b - 9, 3*x - x - 775 = -3*b. What is the hundreds digit of x?
3
Suppose -4*a + 105 = -5*z + 2*z, 3*a - z - 80 = 0. Suppose 2*k - 69 = -5*v, -a = -2*k + k - v. What is the tens digit of k?
2
Suppose -4*j = i - 7*j - 18, 0 = -5*i - 5*j - 10. Let s(k) = k**3 + 2*k**2 - k - 5. What is the tens digit of s(i)?
3
Let y(t) = 2*t**2 + 4*t + 44. Suppose 2*w - 4*a = 2, 4*w + 2*a + 16 = 5*a. What is the tens digit of y(w)?
1
Let u(d) = 107*d**3 - 3*d**2 - 4*d + 37. What is the tens digit of u(3)?
8
Let v be 9/(-6) - (-1)/2. Let y(f) = -9*f**3 - f**2 - f - 1. Let q be y(v). Let z = 14 + q. What is the tens digit of z?
2
Suppose 0 = -5*d - r + 21, 3*r = 5*d - 8*d + 3. Suppose -5*z + 50 = -d*w, -w - 1 = -0*w. What is the units digit of z?
9
Let x(b) = 4*b - 18. Let l be x(12). Suppose 0 = -s - 4*s + l. What is the units digit of 5 + 5*s/15?
7
Let h(f) be the first derivative of -5*f**2/2 + 7*f - 3. Let b be h(3). Let i = -2 - b. What is the units digit of i?
6
Let j = 530 - 306. Suppose 0 = 3*w - j - 124. What is the hundreds digit of w?
1
Suppose 0 = 3*m - 1 + 4. Let c be (-7)/((m - -3)/50). What is the units digit of c/(-14) - (-6)/4?
4
Suppose 3*l = -4*n - 38 - 2, -2*n = -5*l - 84. Let h be (l/(-6))/(2/3). Suppose 3*t - 3*p - 16 = 47, 0 = h*t + 5*p - 102. What is the tens d | {
"pile_set_name": "DM Mathematics"
} |
5)/sqrt(7))/sqrt(5)).
160*sqrt(17)
Simplify 1 + (sqrt(130)/(sqrt(10)*-2) + (sqrt(156)*-2)/sqrt(12))**2 + 3.
341/4
Simplify -3*(3*(sqrt(132) + (sqrt(132) - sqrt(132)*-2*3) + sqrt(132)))/(sqrt(1200) - (sqrt(1200) - sqrt(1200)*2*1)).
-81*sqrt(11)/20
Simplify ((-3 + (sqrt(1573) - (sqrt(1573) - sqrt(1573)*3)))**2 + sqrt(1573) + -2 + -4)*2.
-374*sqrt(13) + 28320
Simplify -2 + (4*(sqrt(15)/(-1*sqrt(3)) + (sqrt(5) - 6*(0 + sqrt(5)))))**2.
2878
Simplify (((sqrt(63)/sqrt(3)*-2)/(sqrt(3) + (sqrt(84)/sqrt(4))/sqrt(7)))**2 + -5)*4.
8
Simplify (-2*(-2*sqrt(35) + sqrt(35) + sqrt(35)))/sqrt(7) - (2 + sqrt(40)/(sqrt(8)*-2 + sqrt(8))).
-2 + sqrt(5)
Simplify ((sqrt(513)/sqrt(3) - (-2 + sqrt(304))) + 1*(sqrt(931) - (sqrt(931) + 1)))**2.
-2*sqrt(19) + 20
Simplify -4 + (sqrt(19) + -1 + -1)**2 - (-1 + 0 + sqrt(304)).
-8*sqrt(19) + 20
Simplify 6*(-5*(sqrt(7) - ((sqrt(7) - sqrt(35)/sqrt(5)) + sqrt(7) + -5))*-4 + -2) + 0.
588
Simplify (3 + -5 + sqrt(1088)*-1 + sqrt(1088) + -2 + -4)**2.
64
Simplify (sqrt(24) + 5*(sqrt(96)/sqrt(4) - sqrt(24)) + sqrt(24))/sqrt(8) + -3 + sqrt(36)/(sqrt(1200) - sqrt(12)).
-3 + 19*sqrt(3)/9
Simplify -1*((-1*(sqrt(190) + sqrt(190)*2 + sqrt(190)) - sqrt(190)) + sqrt(190))/(sqrt(450)/sqrt(5)).
4*sqrt(19)/3
Simplify 2*(sqrt(1700) - ((sqrt(1700)*1)**2*-2 + sqrt(1700))) + (6*(sqrt(1700) - (1 + -1*sqrt(1700))))**2.
-1440*sqrt(17) + 251636
Simplify (6*(-4 + (-2 + sqrt(425) - sqrt(425))*-6*4))**2.
69696
Simplify 0 + (-4 + sqrt(75)*1*3)**2*6.
-720*sqrt(3) + 4146
Simplify (((sqrt(198)*-3 - sqrt(198))/sqrt(6)*1)/(-2*(sqrt(2156) - sqrt(11))))**2.
12/169
Simplify (((sqrt(260) + sqrt(260)*1)*3 - sqrt(260))/sqrt(10))/(sqrt(882)*3).
5*sqrt(13)/63
Simplify (-5*1*(sqrt(190) - 1*sqrt(190)))/((sqrt(10) + sqrt(30)/sqrt(3))*2*2).
0
Simplify (sqrt(39)/sqrt(3) + 0 + (sqrt(26)/sqrt(2) + sqrt(13))*-6 + -3)*-6.
18 + 66*sqrt(13)
Simplify (sqrt(88)*-2 + 2*sqrt(22)*-2)/(sqrt(450) + sqrt(4)/(sqrt(10)/sqrt(5))).
-sqrt(11)/2
Simplify ((sqrt(102)*1 + sqrt(102))*-6)/((-1*sqrt(66))/sqrt(11)).
12*sqrt(17)
Simplify ((sqrt(13) - (sqrt(13) + sqrt(13) + -2*sqrt(13) + -4)) + -2*sqrt(325) + sqrt(117) + -1 + -4)**2*-4*-3.
144*sqrt(13) + 5628
Simplify (2*sqrt(153) + (2*sqrt(119) - sqrt(119))/sqrt(7) - (sqrt(1377) + (sqrt(1377) + -3 + sqrt(1377))*-5))**2.
-2640*sqrt(17) + 131873
Simplify (((sqrt(560) - 1*sqrt(560)) + sqrt(560))*-1)/(((sqrt(55)*2 + sqrt(55))/sqrt(11) - sqrt(5))*6) + -1.
-1 - sqrt(7)/3
Simplify (-3 + ((-5*sqrt(210) - sqrt(210) - sqrt(210) - sqrt(210))/sqrt(7))/(sqrt(90)/sqrt(9)*1))**2.
48*sqrt(3) + 201
Simplify sqrt(50) + -1 + (sqrt(242) - (0 + sqrt(242)))**2 - ((sqrt(2)*1 + -1)**2 - (sqrt(2)*2 + -2 - sqrt(2))).
-6 + 8*sqrt(2)
Simplify (2*(sqrt(91) - sqrt(91)*-1 - sqrt(91)) - ((sqrt(91) + (1*2*sqrt(91) - sqrt(91)) - sqrt(91)) + sqrt(91)))/(4*sqrt(7)*-2*-4).
0
Simplify (sqrt(160)/sqrt(4) + sqrt(90)/(sqrt(27)/sqrt(3)))/(sqrt(98)*-1*-1).
3*sqrt(5)/7
Simplify ((-2*sqrt(1900)*-2)**2 + -2*(sqrt(1900)*-1 - sqrt(1900)))*-4.
-121600 - 160*sqrt(19)
Simplify 2 + ((sqrt(343) + sqrt(343) + sqrt(343) + 2 + -4)**2 - (sqrt(343) + sqrt(343)*-3 + 3)).
-70*sqrt(7) + 3090
Simplify (-1*-1*sqrt(136))/(2*sqrt(648)) - (sqrt(119)/sqrt(7) + -3 + (sqrt(170)*1)/sqrt(10))**2.
-77 + 217*sqrt(17)/18
Simplify ((4*sqrt(117)*-6 - (sqrt(156)/sqrt(3) - 4*-2*sqrt(13))) + 3)**2.
-492*sqrt(13) + 87421
Simplify (-5*(sqrt(204)/(sqrt(432) + -1*sqrt(432) + sqrt(432)) + sqrt(170)/(sqrt(10) - (sqrt(360)*2 + sqrt(10)))))**2.
425/144
Simplify ((sqrt(112)*2*5)/sqrt(8))/((2*sqrt(128))/sqrt(4)).
5*sqrt(7)/4
Simplify (sqrt(1377)*-3*1)**2 - (5 + sqrt(153))**2*-6.
180*sqrt(17) + 13461
Simplify (5*(-5*sqrt(51) - sqrt(51)) + sqrt(51))/(sqrt(192) + sqrt(192) + (sqrt(192) - (sqrt(192)*-1 + sqrt(192)))).
-29*sqrt(17)/24
Simplify 1 + (sqrt(1008) + 1 + 2 - (sqrt(175) + -1 + -2)).
7 + 7*sqrt(7)
Simplify (sqrt(7) + (sqrt(28)/sqrt(4)*2)**2 - (sqrt(35)/sqrt(5) + -5))*6 + 1.
199
Simplify (sqrt(60)/(sqrt(120)/(sqrt(40)/sqrt(4))) - (3*(-2 + sqrt(5)) - sqrt(50)/(sqrt(50)/sqrt(5) + sqrt(10) + sqrt(10))))**2.
-20*sqrt(5) + 449/9
Simplify 4 + 6*sqrt(175)*3 + (-2*(-3 + sqrt(175)) - sqrt(175)).
10 + 75*sqrt(7)
Simplify (-3 + sqrt(1300)*-1*-3 + (sqrt(1300) + sqrt(1300)*-2*-3)*2)**2.
-1020*sqrt(13) + 375709
Simplify -3 + (3 + sqrt(3)*2 + sqrt(12) + sqrt(3) + 1 + 5*sqrt(75)*1)**2.
240*sqrt(3) + 2713
Simplify (4*-2*sqrt(275) - (sqrt(275)*1 + -3))**2.
-270*sqrt(11) + 22284
Simplify (-3 + -2*sqrt(396) + -4)**2 + 3.
168*sqrt(11) + 1636
Simplify 2 + (sqrt(216)/sqrt(128) + -1 + sqrt(432))**2 + 0.
-51*sqrt(3)/2 + 7851/16
Simplify (0 + (sqrt(847) - 1*sqrt(847))*-4 + sqrt(847) - (sqrt(28)/sqrt(4) + 4 + -2*sqrt(7) + sqrt(7) + 0))**2.
-88*sqrt(7) + 863
Simplify 0 + (1 + sqrt(336)/sqrt(7))**2 + 5.
8*sqrt(3) + 54
Simplify (((sqrt(1088) + -1*sqrt(1088))*3 - sqrt(1088)) + sqrt(1088) + (sqrt(1088) + 0)*5)**2 + 2 + (sqrt(1088)*2)**2*6.
53314
Simplify (-6*-4*sqrt(153) + (sqrt(153) - -4*sqrt(153))**2*6)*-1.
-22950 - 72*sqrt(17)
Simplify (1 + sqrt(252))**2*-4 - (3 + sqrt(1008) + 5).
-1020 - 60*sqrt(7)
Simplify -1 + 2 + (sqrt(325))**2 + ((sqrt(13) - (-2*sqrt(13) + 4 + sqrt(13)))**2 - (0 + sqrt(13))*1).
-17*sqrt(13) + 394
Simplify (-1*((-2*sqrt(200) + 4 - -5*(sqrt(200) + 1)) + -3))**2.
360*sqrt(2) + 1836
Simplify 1 + ((2*sqrt(112) + 1)**2 + (sqrt(112) - 6*(sqrt(112) + -2*sqrt(112)))**2 - -4*-2*(sqrt(112) + 0)).
-16*sqrt(7) + 5938
Simplify -5*(-5 + (sqrt(882) - sqrt(2))*1).
-100*sqrt(2) + 25
Simplify (sqrt(96)/(sqrt(36)/sqrt(9)))/sqrt(2592).
sqrt(3)/18
Simplify ((4*sqrt(190)*-5)/(sqrt(60)/(sqrt(6) - sqrt(864)))*-5)**2.
22990000
Simplify (sqrt(270)/sqrt(5)*1)/(3*(3*sqrt(363) + sqrt(363))).
sqrt(2)/44
Simplify ((3 + (sqrt(637) - (sqrt(637) - (sqrt(637) - (-1 + sqrt(637)))) - sqrt(637) - sqrt(637))**2 - sqrt(637) - sqrt(637) - 2*2*sqrt(637)) + 5)*6.
-420*sqrt(13) + 15342
Simplify -2*(((3*sqrt(343))/sqrt(7) - sqrt(49)) + sqrt(49))/(sqrt(343)*-3).
2*sqrt(7)/7
Simplify (-1*sqrt(65)*-1 + (sqrt(65) - (sqrt(65) - -6*(sqrt(65) + sqrt(65) + 2*sqrt(65)))))/(1*sqrt(500)*-6).
23*sqrt(13)/60
Simplify -1 + sqrt(26)/sqrt(50) + (sqrt(13) - (1 + sqrt(13) + 1 + sqrt(13))) + sqrt(13) + (sqrt(39)/(sqrt(363)*-2))**2.
-1439/484 + sqrt(13)/5
Simplify (0 + sqrt(972) + 1 + sqrt(972) + sqrt(972) + sqrt(972) + 2)**2*1.
432*sqrt(3) + 15561
Simplify (2*(-1*(sqrt(637)*-2 + 1) - ((3*(-1 + sqrt(637)) - sqrt(637)) + sqrt(637) - (3 + sqrt(637) + -1*sqrt(637)))))**2.
-280*sqrt(13) + 2648
Simplify (5*-1*sqrt(152)/(sqrt(288)*-4))**2.
475/576
Simplify (sqrt(99)/(sqrt(44)/sqrt(4)) + (sqrt(9) - (sqrt(9) + sqrt(9) + 3*sqrt(144) + sqrt(9))))/(sqrt(15)/(sqrt(20)*6)).
-156*sqrt(3)
Simplify (sqrt(2100) + -2*sqrt(2100) + sqrt(2100))/sqrt(3) - (-3 + sqrt(112) + sqrt(7)).
-5*sqrt(7) + 3
Simplify ((4*sqrt(420) - sqrt(420))/sqrt(12))/(sqrt(5) - (2*sqrt(10))/sqrt(2)).
-3*sqrt(7)
Simplify (-3 + (sqrt(847) - sqrt(847)*2))**2 + 3 + ((-2*sqrt(847))**2 + 3)*-4.
-12705 + 66*sqrt(7)
Simplify sqrt(63) + 5*sqrt(63)*3 - sqrt(1008)*-1*-1.
36*sqrt(7)
Simplify ((-6*(sqrt(95) - (sqrt(95) + (sqrt(95) - (sqrt(95) + 1*2*sqrt(95))) + sqrt(95))))/(sqrt(60)/(sqrt(192) + -1*sqrt(192) - sqrt(12))))**2.
684
Simplify (3*(sqrt(153) + sqrt(153) + (-1 + sqrt(153))*1 - 4*(sqrt(153) - (1 + sqrt(153) + sqrt(153)))))**2*2.
2268*sqrt(17) + 135108
Simplify (sqrt(49) - 3*sqrt(5929))/((sqrt(77)*-2)/sqrt(11)).
16*sqrt(7)
Simplify (sqrt(11) + sqrt(11)*-2 + 2 - (0 + sqrt(11) + -2))*5.
-10*sqrt(11) + 20
Simplify (-5 + -2 + 3*sqrt(1088)*5 + 0)**2.
-1680*sqrt(17) + 244849
Simplify -5*(5 + 0 + (-1 + sqrt(1100) + 4)**2)*2.
-11140 - 600*sqrt(11)
Simplify (-4 + -1 + sqrt(200) + 4)**2 - (-4 + 3*-2*sqrt(200)).
40*sqrt(2) + 205
Simplify -2 + sqrt(13) + 2 + -2 - (1*sqrt(208)*4)**2.
-3330 + sqrt(13)
Simplify ((sqrt(81)/(-2*sqrt(12)))/(sqrt(63)/(sqrt(28)/sqrt(4)) + sqrt(9) + ((sqrt(27)/sqrt(3) - sqrt(9))*5 - sqrt(9))))**2*-6.
-9/8
Simplify sqrt(77)/((sqrt(112) + sqrt(7))*5) - 4*sqrt(33)/sqrt(3)*-2.
201*sqrt(11)/25
Simplify (sqrt(104)*2)/sqrt(8) + sqrt(104)/((sqrt(16)/sqrt(2) - sqrt(8)) + sqrt(8)) - ((sqrt(637) - (sqrt(637) + -5)) + 2).
-7 + 3*sqrt(13)
Simplify 1 + ((1*sqrt(1872))**2 + 0 - (0 + (sqrt(1872)*2)**2)) + -2.
-5617
Simplify ((6*(1 + sqrt(7)) + -4)*-1 + sqrt(14)/sqrt(32) + sqrt(7) + sqrt(7) + -1 + 3)**2.
1575/16
Simplify 3*(sqrt(1250) - (sqrt(1250) - 3*sqrt( | {
"pile_set_name": "DM Mathematics"
} |
Let x = 2.5 - -0.5. Let m = x - 2.6. Which is the third smallest value? (a) 0.3 (b) m (c) q
c
Let o = -62 + 433/7. Which is the third smallest value? (a) o (b) 1/2 (c) -0.3
b
Let g = 0.28 + 0.12. Which is the third smallest value? (a) 1 (b) 0.9 (c) g
a
Let j = -3 - -3.3. Let k = 79/5 + -583/35. What is the third smallest value in j, -1/2, k?
j
Let r(j) = -j. Let c be r(-6). What is the biggest value in 1/4, -4, c?
c
Suppose 3*t + 2*k = -6, -5*t - 9 = k + 2*k. Let q be 1/(t + (-15)/(-9)). Let y = 12 + -8. Which is the third biggest value? (a) q (b) -3 (c) y
b
Let g = 0.03 + -10.03. Let l = 6.9 + 0.1. Let w = g + l. Which is the third smallest value? (a) w (b) 0.2 (c) 2/9
c
Let z = 37/6 + -35/6. Suppose -1 - 2 = 3*w. Let v = w - -1. What is the second smallest value in z, -2/9, v?
v
Let y = -1.4 - -1.5. Let f be (-2 - 20/(-8))*-6. What is the biggest value in y, -4, f?
y
Let k = 0.8 + -0.4. Let b be (-1)/(-2) + 15/(-6). Let c be (39/(-12) - -3)*-1. What is the smallest value in c, b, k?
b
Let u be (2 - (-14)/(-6))/(-1). Suppose 3*d - d = 10. What is the second biggest value in u, d, 4?
4
Let o = 1/5 - 2/5. Which is the biggest value? (a) o (b) -2 (c) 3
c
Suppose -k = 3*l - 24, 5*k - 6*l + 2*l = 25. Suppose -3*c = -2*c, -5*c - k = 3*z. What is the second smallest value in -0.2, 5, z?
-0.2
Let z be (-1)/5*75/(-20). What is the smallest value in -0.5, -3/4, z?
-3/4
Suppose 7 = 2*x - 0*z + 3*z, 0 = -4*x + 2*z + 22. Which is the third smallest value? (a) -1 (b) x (c) -2/13
b
Suppose 9*r - 6*r - 15 = 0. Which is the biggest value? (a) r (b) -3/5 (c) -6/5 (d) -1
a
Let j = -5 - -23. Let g = -14.5 + j. Let d = -4 + g. Which is the biggest value? (a) d (b) -3 (c) -1/4
c
Let j = 4 - 5. Let z = -0.5 - j. Which is the biggest value? (a) -4 (b) z (c) 4
c
Let z = -1.5 - -1.41. Which is the smallest value? (a) 5 (b) 0 (c) z (d) 0.5
c
Let c = -15.5 + 16. What is the smallest value in c, -2/7, -1?
-1
Let l be 3/6*-3*(4 - 2). What is the second biggest value in 4, 4/5, 0.3, l?
4/5
Let m = 3 + -4. What is the second biggest value in m, -0.4, -5?
m
Let m = 11 - 6. Let h = m + -5.2. Let u = 4 + -4.4. Which is the second biggest value? (a) -5 (b) h (c) u
c
Let h = 36 + -33. Which is the second biggest value? (a) 1 (b) h (c) -11
a
Let p = -46.4 - -46. Which is the second biggest value? (a) 0 (b) p (c) -4
b
Let i = 41.2 + -41. Let l(k) = k**2 - 3*k. Let f be l(4). Suppose 0 = n + f*n - 4*s + 13, -5*n = 3*s - 1. What is the second biggest value in n, -2, i?
n
Let n = -47 - -39. What is the fourth biggest value in -0.4, -3/8, n, 0.3?
n
Let h be 54 + -1 - (2 + -4). Let t be h/10 + 1/(-2). Suppose 2*l + 8 = 3*j, 2 = t*j + 5*l - 3. Which is the biggest value? (a) j (b) 4 (c) -4
b
Let g = -24.6 - -25. What is the second biggest value in g, -2/7, -3, 0?
0
Suppose 7*j - j = 30. Suppose -2 - 7 = 3*n. Let g = n + j. Which is the second biggest value? (a) g (b) -1/5 (c) -1/2
b
Let q = -1.1 + 0. Let i = q - -0.9. Which is the biggest value? (a) 2/15 (b) 0 (c) i
a
Suppose 23*t - 24*t - 2 = 0. Which is the smallest value? (a) 5 (b) -2/5 (c) 0 (d) t
d
Suppose 5*l = 2*k - 1, -2*l + 7*l + 15 = 0. Let s = 4 + k. Let x be (-20)/36*(-4 - 1) + -3. Which is the third biggest value? (a) s (b) x (c) 1
a
Let h = 8.23 - 8.2. What is the third biggest value in h, -3/4, -1/7?
-3/4
Let h(q) = 2*q + 6. Suppose 5*s = 70 - 5. Suppose 4*n - f = -s, -n - 5*f - 27 = 2*n. Let i be h(n). What is the second smallest value in 0, -6/7, i?
-6/7
Let f = 46.5 + -47. What is the fourth biggest value in -0.2, f, 13, -1?
-1
Let d = 1 + -0.9. Let w = -19 + 22.1. Let h = d - w. Which is the smallest value? (a) -5/3 (b) -2 (c) h
c
Let h = -163/4 - -41. Let o be 69/(-21) - (0 - 3). Which is the third biggest value? (a) -7/3 (b) o (c) h
a
Let b = 14 - 8. Let j = -7 + b. What is the third smallest value in j, 3, 2?
3
Let j = -34 + 39. What is the second smallest value in 4, 2, j, 0?
2
Let w = 0.44 - 0.04. Let f = 2 - 1.3. Let d = 0.3 - f. What is the second smallest value in w, d, -0.3?
-0.3
Let u be 2 + 23/(-5) - -2. Let t(i) = i**2 - 2*i - 1. Let b be t(5). Let z be (-8)/b + 2/7. What is the smallest value in z, -1, u?
-1
Suppose 3 = -x - 3*s, -2*x + 4*s + 14 = -0*s. Suppose 3 = -x*f + 2*f. Let j be (6/26)/(f/(-2)). Which is the biggest value? (a) -2/11 (b) j (c) 2/5
c
Let s = 1/4 + 1/4. Which is the second biggest value? (a) 0.2 (b) s (c) 3
b
Let j = 18 - 27. Which is the third smallest value? (a) j (b) 3 (c) -0.4
b
Let r = 67871/2958 - 660/29. Let m = r + -6/17. What is the second biggest value in m, -0.5, 0.2?
m
Let o be 2*(-2)/(14/9). Let u = -20/7 - o. Which is the second biggest value? (a) 2/11 (b) -2/15 (c) u
b
Suppose -60 = -0*g + 2*g. Let d be (-6)/5*g/24. Which is the third biggest value? (a) d (b) -1 (c) 5/2
b
Let v(y) = -3*y. Let a be v(5). Let t be (14/49)/(a/(-7)). Let h = -9 - -11. What is the second smallest value in 2/3, h, t?
2/3
Let r(v) = 15*v - 62. Let s be r(4). What is the biggest value in 3, -0.06, 2/3, s?
3
Let y = -1.21 + 0.21. Which is the third biggest value? (a) 3 (b) 1 (c) y
c
Let i = -0.1 + -0.02. Let h = i - -1.12. Let d = 6.4 - 6. What is the second biggest value in 0.1, d, h?
d
Let d = 18.3 + -18. What is the fourth biggest value in 6, -1, -5, d?
-5
Let r = 0.343 - 0.043. What is the third smallest value in -2, -0.5, r?
r
Let i = -0.06 - -0.09. Let r = 0.27 + i. Let t = -6 - -1. Which is the biggest value? (a) 3 (b) r (c) t
a
Let j be -16*(36/16 - 3). Suppose -3*z = -1 - 5. Suppose -j = -2*x - z. What is the second biggest value in -2/3, x, -0.4?
-0.4
Let w = 5 + -10. Let h = 21/32 - -3/32. Let o = -1075/6 - -180. What is the third biggest value in h, w, o?
w
Suppose 6*d - 5*d = 1. Suppose -h = -3 + d. Let j = -2 - -7. What is the third smallest value in j, 0.5, h?
j
Let n = 0.17 + -0.57. Which is the smallest value? (a) 9 (b) n (c) 0
b
Let p = -117 - -317/4. Let b = p + 38. What is the third biggest value in 3, b, 0.5?
b
Suppose -5*c = -11 - 9. Let b be -2*(2 - 14/c). Let r be ((-2)/8)/(b/6). What is the third smallest value in r, -0.4, 0.1?
0.1
Let l = -5.6 - -4.6. Which is the biggest value? (a) l (b) 5 (c) -3
b
Suppose 7*x = 11*x + 12. What is the second biggest value in x, 5, -2/5?
-2/5
Let a = -2.5 + 3. Let b = 3 + 8. Let m = 8 - b. What is the third smallest value in -0.4, a, m?
a
Suppose -5*j = -3*b + 16, -3*b + 3*j + 1 + 11 = 0. Let r = 23 + -6. Let t = -12 + r. What is the third biggest value in 2/19, b, t?
2/19
Let k = 17 - 12. Which is the smallest value? (a) k (b) -5 (c) -0.3
b
Let i = -2.2 - -1.2. What is the third smallest value in 0.5, i, -1/3?
0.5
Let z be (0 + 4)*(1 + 0). Suppose -z*x + 7 = -1. Let o = 3.97 + 0.03. Which is the second smallest value? (a) o (b) x (c) -2/11
b
Let g = 0.08 + -4.08. Let n = -10.8 - -11. Which is the second smallest value? (a) n (b) g (c) -0.1
c
Let v = 1 - -1. Let o be (-12)/(-21) - 1/1. Let i = 15.2 - 15. What is the biggest value in o, v, i?
v
Suppose s + 28 = j, s + 0*s = 0. Let w be j/8 - 1/(-2). Suppose w*u = 5*u. What is the biggest value in u, -3, 2/5?
2/5
Let s be (-75)/(-99) + (-6)/9. Let y = 8 + -13. What is the third biggest value in s, -1, y?
y
Let n = -0.0042 + 0.0042. Suppose 5*d + 2*r = -11, -2*d - 2*d = 3*r + 6. What is the second smallest value in d, n, 2?
n
Let d = 6 - 5.7. Let r = 5 - 4.98. Let x = r - 0.32. What is the third biggest value in 4, x, d?
x
Let q = -3 + 2. Let g = 56/75 + -2/25. Let i be (1/(-1))/1*-3. Which is the third smallest value? (a) i (b) q (c) g
a
Let i = -0.7 - 0.3. Let d = 3 - 2.5. Let f = 0.3 - d. Which is the third biggest value? (a) f (b) i (c) -1/8
b
Let q = 13.8 + -17. Let d = q + 1.2. Let x be 1 + 0 - (5 + -1). What is the second biggest value in 4, d, x?
d
Let m = 0.95 - -0.05. Let q = -0.2 - 0.8. Let g = q - m. What is the smallest value in 4, -0.1, g?
g
Let r = -2.4 - -3.4. What is the third biggest value in 0.1, r, -1/2, -2?
-1/2
Let q = 175 - 4023/23. Which is the biggest value? (a) -3/2 (b) -2/7 (c) q
c
Let d = 5 - 4.77. Which is the third smallest value? (a) -1/4 (b) -1/2 (c) d
c
Let g = -0.8 + -2.2. Let t = 15 + -14. Let f = 0 + 0. Which is the third biggest value? | {
"pile_set_name": "DM Mathematics"
} |
th respect to h.
16*h**3
Let s be 15/(-12)*(-8)/2. Let i(w) = -7*w + 11 - 3*w - s*w. Let b(v) = -8*v + 6. Let j(d) = -7*b(d) + 4*i(d). What is the first derivative of j(p) wrt p?
-4
Let z(a) be the second derivative of -31*a**8/56 - a**6/10 - 55*a**4/4 + a**3/6 + 16*a + 18. What is the third derivative of z(h) wrt h?
-3720*h**3 - 72*h
Let t(r) be the third derivative of r**7/70 + 9*r**4/8 - 25*r**3/6 + 4*r**2. Let u(a) be the first derivative of t(a). Differentiate u(l) with respect to l.
36*l**2
Let d = 14 + -16. Let b = d - -9. Find the third derivative of 2*o**6 + 2*o**2 + 2*o**2 - b*o**6 wrt o.
-600*o**3
Let y(m) be the third derivative of 2*m**7/35 - 17*m**5/10 + 16*m**2. Find the third derivative of y(i) wrt i.
288*i
What is the first derivative of -109 - 10*y**4 + 11*y**3 + 357 + 38 + 328 wrt y?
-40*y**3 + 33*y**2
Let h = 413/24 - 135/8. Let n(b) be the second derivative of 0 + 1/6*b**3 + 0*b**2 - 6*b - h*b**4. Find the second derivative of n(t) wrt t.
-8
Let h(t) = -46*t**2 + 6*t - 35. Let w(l) = 45*l**2 - 5*l + 35. Let o(u) = -5*h(u) - 6*w(u). Find the first derivative of o(m) wrt m.
-80*m
Let q be 32/(-288) + 2/18. Let s(b) be the first derivative of 2*b**3 + 0*b - 5 + q*b**5 + 2/3*b**6 + 0*b**2 + 0*b**4. Find the third derivative of s(c) wrt c.
240*c**2
Let i be (-2)/15 + 1/(75/160). What is the third derivative of -11*h**3 - 32*h**3 - 172*h**2 + 175*h**i wrt h?
-258
Let p(x) = 5*x**2 - 5*x + 7. Let y(n) = n**3 - n**2 + n + 2. Let o(f) = -p(f) - 5*y(f). Find the first derivative of o(c) wrt c.
-15*c**2
Let w(p) = p**2 + 4*p. Let c be w(-4). Suppose c + 3 = f. Find the third derivative of f*d**2 + 2*d**3 - 4*d**2 + 5*d**2 wrt d.
12
Let g be -3*(-3)/9 + 2. Suppose v + 2*a = -8, -5*a = -g*v + 14 + 17. What is the second derivative of x**4 + v*x**5 + 3*x + 0*x - x**4 wrt x?
40*x**3
Let t(y) be the first derivative of 5/6*y**3 - 5*y + 6 + 1/2*y**2. Let h(v) be the first derivative of t(v). Differentiate h(u) wrt u.
5
Let t be 3*(-5)/10*2. Let n(u) = 22*u - 16. Let a(h) = 44*h - 31. Let y(x) = t*a(x) + 7*n(x). Find the first derivative of y(p) wrt p.
22
Let d(c) be the first derivative of 0*c**3 + 0*c + 12 - 23/2*c**2 - 31/4*c**4. Find the second derivative of d(h) wrt h.
-186*h
Let f(r) be the third derivative of -227*r**7/210 - 17*r**4/2 + r**3/3 + 49*r**2 - 5. What is the second derivative of f(k) wrt k?
-2724*k**2
Suppose 5*q = -5*z, 0 = -3*z - 2*z - 10. Let s be 1 - q/4*-2. Find the second derivative of -5*u**3 - 107*u**s + 107*u**2 - 5*u wrt u.
-30*u
Let n(c) = 44*c + 71. Let q(i) = -47*i - 71. Let l(z) = -5*n(z) - 6*q(z). Find the first derivative of l(b) wrt b.
62
Let i(p) = -6*p**2 - 1. Let m(v) be the third derivative of v**3/6 - 6*v**2. Let r(h) = i(h) + 3*m(h). Differentiate r(x) with respect to x.
-12*x
Let m(s) = 109*s**3 - 5*s**2 + 14*s + 5. Let z(r) = 53*r**3 - 3*r**2 + 7*r + 3. Let n(t) = 3*m(t) - 5*z(t). What is the second derivative of n(l) wrt l?
372*l
Let f(q) = 3*q - 2. Let t(n) = -413*n + 360. Let k(z) = 2*f(z) + t(z). What is the derivative of k(y) wrt y?
-407
Let t(v) be the first derivative of v**5/2 - v**2 - 3*v + 7. Let y(w) be the first derivative of t(w). Differentiate y(a) with respect to a.
30*a**2
Suppose 0 = 2*y + 4*y - 48. What is the second derivative of 9*z - z**2 + 4*z - y*z wrt z?
-2
Suppose -12 = -5*v + 2*v. Suppose 0*z = 2*z - v. Find the third derivative of -14*b**6 - 4*b**2 + 9*b**z - 3*b**2 - 4*b**2 wrt b.
-1680*b**3
Let r(k) be the third derivative of -9*k**6/10 + 3*k**5/10 + k**3/2 + 3*k**2 - 2. What is the third derivative of r(y) wrt y?
-648
Let t(z) = -937*z**2 + 166*z - 4. Let y(c) = -624*c**2 + 110*c - 3. Let h(n) = -5*t(n) + 7*y(n). Find the second derivative of h(f) wrt f.
634
Let n(r) = -r**3 - 7*r**2 + 8*r. Let f be n(-8). Suppose 0 = 4*g - 20 - f. What is the second derivative of 3*s**g - s**5 + s**5 - 7*s wrt s?
60*s**3
Let a(s) be the second derivative of s**7/6 - s**5/5 + 39*s**4 + 285*s. Find the third derivative of a(o) wrt o.
420*o**2 - 24
Differentiate -16 + 120*f**2 - 55*f**2 - 63*f**2 + 4*f**3 wrt f.
12*f**2 + 4*f
What is the first derivative of 101*d**4 + 1079*d**2 + 36*d**4 + 576 - 1079*d**2 wrt d?
548*d**3
Let t(z) be the second derivative of 275*z**3/6 - 67*z**2 + 60*z + 1. What is the derivative of t(c) wrt c?
275
Let p(s) = 31*s**4 + 3*s**3 - 19. Suppose 0 = 5*q - 4*q - 4. Let z(y) = 31*y**4 + 4*y**3 - 19. Let w(v) = q*p(v) - 3*z(v). What is the derivative of w(x) wrt x?
124*x**3
Let g(n) = -598*n**2 + 8*n - 58. Let l(q) = 595*q**2 - 9*q + 59. Let a(d) = -5*g(d) - 4*l(d). What is the second derivative of a(w) wrt w?
1220
Suppose -3 = d - 7. Suppose -d*x = 3*f - 11, 0 = -6*x + x - f + 11. What is the first derivative of 1 + x*r**4 - 2 - 1 wrt r?
8*r**3
What is the third derivative of -12917 + 334*p**2 + 12917 + 407*p**3 wrt p?
2442
Let i(w) = 8*w - 1. Let u be i(1). Find the second derivative of 4*l**3 - 11*l**3 + u*l + 2*l**3 + 3*l**3 wrt l.
-12*l
Let x be (19 + -9)/(-2 + 4). Let n(p) be the first derivative of 0*p - 2*p**3 + x + 5/2*p**2. What is the second derivative of n(m) wrt m?
-12
Find the first derivative of 498*f**4 - 240*f**4 - 214*f**4 + 9 wrt f.
176*f**3
Let d(g) be the second derivative of 7*g**6/15 + g**3/6 - 51*g**2/2 + 2*g + 24. What is the second derivative of d(p) wrt p?
168*p**2
Suppose 0 = -5*c + 20, 3*u - 2*c + 7 = 2*c. What is the first derivative of -6 - 13*q**3 + 32*q**3 - 15*q**u wrt q?
12*q**2
What is the third derivative of 75*u**2 + 121*u**2 - 129772*u**3 + 112*u**4 + 129772*u**3 wrt u?
2688*u
Let t(y) be the second derivative of 30*y**3 + 159*y**2 + 18*y - 2. What is the derivative of t(b) wrt b?
180
Suppose 3*u = 2*u + 6. Suppose 0 = w - u*w + 95. What is the second derivative of 11*s - w*s + 10*s - 5*s**4 wrt s?
-60*s**2
Suppose 0 = -2*l + 7*l - 60. Find the third derivative of l*r**6 - 6*r**3 - 11*r**2 + 5*r**3 + r**3 wrt r.
1440*r**3
Let z(h) be the first derivative of 37*h**4/4 - 10*h**3/3 + h**2/2 - 110. Find the third derivative of z(q) wrt q.
222
Let s(d) = 10*d**2 + 2*d - 47. Let f(y) = -20*y**2 - 5*y + 93. Let m(u) = -2*f(u) - 5*s(u). Differentiate m(g) wrt g.
-20*g
What is the second derivative of -37*o**3 + 23*o**3 + 36*o - 131*o wrt o?
-84*o
Suppose -2*b = -2*d - 5*b - 5, 3*b - 5 = -4*d. Let j = d + -2. What is the derivative of 0 + 0 + 1 + j*y wrt y?
3
Let q(j) be the second derivative of 0*j**2 - 11/42*j**7 + 23/12*j**4 + 0 + 0*j**5 + 0*j**6 - 10*j + 0*j**3. What is the third derivative of q(g) wrt g?
-660*g**2
Let q(g) be the first derivative of g**4/12 - 13*g**3/6 + 4*g**2 - 5. Let l(n) be the second derivative of q(n). Find the first derivative of l(a) wrt a.
2
Let v be (3/3 + -2)*-2. What is the first derivative of -13 + v*o - 6*o**2 - 2*o wrt o?
-12*o
Suppose 5*o = 7*r - 5*r + 13, -4*r - 11 = -5*o. Differentiate -123 + 140 - 22*i**4 + o*i**4 with respect to i.
-76*i**3
Let t(w) = -w**2 + 6*w. Let s be t(3). Suppose -3*l - 18 = -2*v + 1, -v + 2*l = -11. What is the second derivative of -4*h - s*h**4 + v*h**4 + 2*h wrt h?
-48*h**2
Let q(n) = n + 9. Let t be q(20). What is the third derivative of -57*y**4 + 28*y**4 - 7*y**2 + 32*y**6 + t*y**4 wrt y?
3840*y**3
Let t(o) = -14*o**4 - 12*o**2 - 3. Let l(i) = -7*i**4 + 4*i**4 - 1 + 4*i**4. Let w(n) = 3*l(n) - t(n). Find the third derivative of w(m) wrt m.
408*m
Let i be (1 - (-65)/39) + -1 + -1. Let h(v) be the third derivative of 0*v + 0 - 4*v**2 - 1/20*v**5 + i*v**3 + 0*v**4. Differentiate h(l) wrt l.
-6*l
Suppose 4*w + 7 - 22 = -3*n, 0 = 5*n + 5*w - 20. Let y = 4 - n. Find the third derivative of -2*g**4 + y*g - 8*g**2 - 2*g - g wrt g.
-48*g
Let v(s) be the first derivative of -299*s**4/4 + 617*s - 388. Differentiate v(k) wrt k.
-897*k**2
Let d(p) be the second derivative of -73*p**3/6 - 17*p**2 - 31*p. What is the first derivative of d(n) wrt n?
-73
What is the derivative of -63 + 396*p**2 - 284*p**2 + 26 wrt p?
224*p
Let f(n) be the second derivative of -59*n**6/30 - n**5/10 + 7*n**4/12 - 9*n**2/2 - 33*n. What is the third derivative of f(b) wrt b?
-1416*b - 12
What is the derivative of -28*g - 22 + 170 - 26*g - 16 wrt g?
-54
Let q(g) = 13*g**2 - 16. Let u be (6/18)/((-1)/18). Let x(l) = 28*l**2 - 33. Let j(h) = u*x(h) + 13*q(h). What is the first derivative of j(p) wr | {
"pile_set_name": "DM Mathematics"
} |
2680470497 prime?
False
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True
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True
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False
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False
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True
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True
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False
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False
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False
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True
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True
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False
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True
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True
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False
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True
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False
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False
Is 50258698921 a prime number?
False
Is 1040971709 a prime number?
True
Is 38622889 a prime number?
True
Is 74248394183 prime?
False
Is 496275541 a composite number?
True
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False
Is 1015014943 composite?
False
Is 43503548161 composite?
True
Is 3209724263 a prime number?
False
Is 323545279 a prime number?
False
Is 3736943447 composite?
True
Is 2833405829 a prime number?
True
Is 26096673035 a composite number?
True
Is 1000808579 prime?
True
Is 135986495591 a prime number?
False
Is 35327319178 prime?
False
Is 18140829737 a composite number?
True
Is 3436937279 a prime number?
True
Is 1414787341 a prime number?
False
Is 6829227397 composite?
False
Is 5986344751 prime?
True
Is 16196539363 composite?
False
Is 18958729 a prime number?
True
Is 8621745191 a composite number?
True
Is 1205863693 prime?
False
Is 70222034153 a composite number?
False
Is 5446723411 a composite number?
False
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False
Is 5893778897 a prime number?
False
Is 180143334049 a prime number?
False
Is 43871857 a composite number?
False
Is 1106865559 a composite number?
False
Is 70705748963 a composite number?
True
Is 484598671 a composite number?
True
Is 716953141 a composite number?
False
Is 64499599 prime?
True
Is 1052118646 a composite number?
True
Is 13546119047 prime?
True
Is 27188140979 prime?
True
Is 25754560679 prime?
True
Is 5968698949 prime?
False
Is 18503596721 composite?
True
Is 4222808419 composite?
False
Is 1018238269 prime?
True
Is 1056708493 a prime number?
False
Is 57464579461 prime?
True
Is 6712745597 prime?
True
Is 2272846639 a composite number?
True
Is 2926100839 prime?
True
Is 97774840697 a composite number?
False
Is 3396728693 a prime number?
True
Is 1755236515 a composite number?
True
Is 16274569 a prime number?
True
Is 6184435099 a prime number?
False
Is 12014159359 a prime number?
True
Is 10827540791 composite?
True
Is 1137225223 a prime number?
False
Is 1172296942 prime?
False
Is 321190381 composite?
True
Is 11152169279 a composite number?
False
Is 144764456513 composite?
False
Is 92013195671 a composite number?
False
Is 746369353 a prime number?
False
Is 70262549801 a prime number?
True
Is 1822588801 a composite number?
True
Is 3422705383 a prime number?
False
Is 13951842661 prime?
True
Is 1405793999 a prime number?
True
Is 18576127519 a prime number?
False
Is 641422857 a composite number?
True
Is 6607221829 a composite number?
True
Is 365378411 composite?
False
Is 87207439367 a prime number?
True
Is 870747307 prime?
False
Is 17633068361 composite?
True
Is 437102683 composite?
True
Is 29969656291 a composite number?
False
Is 1808560597 prime?
True
Is 12515123419 a composite number?
False
Is 254092051 composite?
False
Is 1237019789 a prime number?
True
Is 591448843 a composite number?
False
Is 31411932947 a prime number?
True
Is 3865310751 a prime number?
False
Is 307141729 prime?
True
Is 2031654019 composite?
False
Is 6569132797 prime?
False
Is 3429389053 prime?
False
Is 21172120573 a prime number?
False
Is 11732423799 a composite number?
True
Is 37223520131 a composite number?
True
Is 19251625849 a composite number?
False
Is 48554843 prime?
False
Is 1450619441 a composite number?
False
Is 10576080701 a composite number?
False
Is 3582075193 a prime number?
True
Is 27319694867 a prime number?
True
Is 21552484865 prime?
False
Is 833095547 a composite number?
False
Is 2329247083 a prime number?
False
Is 30049788359 a prime number?
True
Is 4226213729 a prime number?
False
Is 21994907945 prime?
False
Is 413131853 a composite number?
True
Is 7628308541 a prime number?
False
Is 2671053163 a composite number?
False
Is 2861591093 composite?
False
Is 3398544623 a prime number?
True
Is 261608323 prime?
True
Is 3208506211 composite?
False
Is 1601996251 a prime number?
True
Is 2907280067 prime?
True
Is 15891515993 a composite number?
False
Is 37304574629 composite?
True
Is 739567523 prime?
True
Is 38703195151 prime?
False
Is 10454058269 prime?
False
Is 859595431 composite?
False
Is 669372623611 prime?
True
Is 1325027801 a composite number?
False
Is 2108330449 composite?
False
Is 1703110793 a prime number?
False
Is 1109709469 a prime number?
False
Is 8081586727 a composite number?
False
Is 217673191 a prime number?
True
Is 3105931747 a prime number?
False
Is 187619749 prime?
True
Is 1140594617 a composite number?
True
Is 402342121 a composite number?
True
Is 20332424341 a composite number?
False
Is 30270781291 composite?
False
Is 23453422151 prime?
True
Is 12614903867 a composite number?
True
Is 120350987 a composite number?
True
Is 429351121 composite?
False
Is 17335047887 a composite number?
False
Is 6430702783 prime?
True
Is 7271542171 prime?
True
Is 99357569 a composite number?
False
Is 560409767 composite?
False
Is 1841202217 a prime number?
False
Is 77123243189 a composite number?
False
Is 2315053213 prime?
False
Is 105839177839 prime?
False
Is 834350537 composite?
True
Is 4331652685 prime?
False
Is 414409467 prime?
False
Is 43251519965 prime?
False
Is 103249983869 composite?
False
Is 17289094457 a prime number?
False
Is 634221053 composite?
False
Is 152305211 composite?
False
Is 3631929881 composite?
False
Is 11197011113 prime?
False
Is 86879362991 a composite number?
True
Is 1547300251 a prime number?
False
Is 193157243 composite?
True
Is 22682630207 a prime number?
True
Is 8624641609 prime?
True
Is 129572921 composite?
True
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False
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False
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False
Is 21213295639 prime?
False
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False
Is 28451061481 prime?
True
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True
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False
Is 11844520607 prime?
True
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False
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True
Is 137598816703 prime?
True
Is 7047535129 prime?
False
Is 124792736701 a prime number?
False
Is 679833659 a prime number?
False
Is 80888654995 composite?
True
Is 512690459 composite?
False
Is 3072435767 a composite number?
False
Is 4386120373 a prime number?
True
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True
Is 202741937 composite?
True
Is 97279899677 composite?
True
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False
Is 4661508953 a composite number?
True
Is 2176208407 prime?
True
Is 2214407449 composite?
False
Is 778638169 a composite number?
True
Is 933202201 a prime number?
True
Is 7868816639 composite?
True
Is 52099039 prime?
True
Is 19894166521 a prime number?
True
Is 47272196609 prime?
False
Is 57757465063 prime?
False
Is 74170265927 a composite number?
False
Is 1117699411 a composite number?
True
Is 5486962699 a prime number?
False
Is 550281133 a prime number?
False
Is 115805527 composite?
False
Is 673414363 prime?
False
Is 47859777409 composite?
True
Is 10696688857 a composite number?
False
Is 938595127 a composite number?
False
Is 15048499121 a prime number?
False
Is 21888750067 a prime number?
True
Is 188173115303 a prime number?
True
Is 107041586681 prime?
True
Is 79243497371 prime?
True
Is 255882413 a composite number?
False
Is 4970278273 a composite number?
True
Is 4650032861 composite?
False
Is 16381169491 a composite number?
True
Is 3674439761 composite?
False
Is 339529931 composite?
True
Is 1475790949 composite?
False
Is 12725837909 a composite number?
False
Is 1939762189 a prime number?
True
Is 534837211 prime?
False
Is 22897229359 composite?
True
Is 4781460349 prime?
False
Is 929764859 a prime number?
True
Is 144152479 composite?
False
Is 575187031 a composite number?
False
Is 76026610637 a prime number?
False
Is 7143492229 composite?
True
Is 18767575427 composite?
True
Is 1713360583 composite?
True
Is 54566144419 prime?
T | {
"pile_set_name": "DM Mathematics"
} |
(-1))?
True
Let u(o) = 12*o. Let g(n) = 35*n. Let k(y) = -5*g(y) + 14*u(y). Let j(m) = -m + 1. Let b be j(5). Is 13 a factor of k(b)?
False
Suppose -3*l = 4 - 16. Suppose -l*y + 190 = 5*r, 15 = 4*y - 7*y. Is 21 a factor of r?
True
Suppose -3*g + 53 = 3*s - 10, 0 = 5*g + 3*s - 101. Let p = 30 + g. Let t = p + -21. Is t a multiple of 18?
False
Suppose 0*i = 2*t - 2*i - 70, -2*t - i + 70 = 0. Does 13 divide t?
False
Let u(l) = l**3 + 5*l**2 + 2. Let t be u(-4). Let j = -7 + t. Is 3 a factor of j?
False
Suppose 3*i = -2*u + 235, -4*u + i + 596 = u. Does 10 divide u?
False
Let w(q) = q**2 - q + 1. Let v(n) = -3*n**2 + 12*n + 1. Let i(f) = -v(f) - 2*w(f). Is 8 a factor of i(11)?
True
Suppose 0 = -3*q, -5*n + 3*q - 7*q = -820. Does 37 divide n?
False
Suppose -41 = -7*l + 211. Is l a multiple of 6?
True
Let u = -177 - -313. Let k = u - -139. Suppose -2*a - k = -7*a. Is a a multiple of 25?
False
Let m be -2 - (2 + 1*-3). Let t be 136/20 + m/(-5). Suppose -5*p + 27 = t. Does 2 divide p?
True
Let m be (-2)/(-8) + (-7)/(-4). Let v = m - 11. Is 4 a factor of (-3)/v + (-46)/(-6)?
True
Let m = 10 + -2. Let l be (m - 2)/(2*1). Suppose -l*w = -82 + 7. Does 14 divide w?
False
Let x(j) = 2*j**2 - 11*j + 4. Suppose 0 = 2*g - 4*r - 28, 0*g - 5*r - 47 = -4*g. Is 11 a factor of x(g)?
True
Suppose 1968 = -2*f + 10*f. Is 22 a factor of f?
False
Let t = 63 + 25. Does 7 divide t?
False
Let l(c) = 8*c + 3. Let s(u) = 12*u + 4. Let y(o) = 7*l(o) - 5*s(o). Let b be y(-1). Suppose -x + 50 = b*i, -2*x - 4 = 5*i - 49. Is 4 a factor of i?
False
Let x(s) = s + 5. Let b be x(-5). Suppose b = -5*r + 4*g + 25, -8 = -r + g - 3. Let d = 3 + r. Is d a multiple of 8?
True
Suppose -2*s = 2*s - 88. Is 11 a factor of s?
True
Suppose -2*l + 8 = 6. Let d(g) = 38*g + 1. Is 26 a factor of d(l)?
False
Let m = -4 - -6. Suppose 2*i + z - 179 = 0, -i - 5*z + 69 = m. Suppose 2*c - 5*l = 53, 8*c - 3*c = -l + i. Is 9 a factor of c?
False
Suppose 0*z + z + 1 = 0. Let u(i) = -51*i**3 + i**2 + i. Let s be u(z). Suppose -2*o + s = -15. Is o a multiple of 11?
True
Suppose -2*f + 3*f = 0. Suppose 2*o - 5*t = -f*o + 7, o = 3*t + 1. Is o a multiple of 16?
True
Let q(m) = -m**2 + 2*m + 1. Let u be q(-3). Let a = 46 + u. Suppose -4*d + 2*d = 4*v - a, 0 = 5*v + 3*d - 41. Does 7 divide v?
True
Let u be 4 + (-3)/6*2. Is 3/((-3)/(-14)) + u a multiple of 17?
True
Let g be (-1 + 0)*0*1. Let l be (-2 + 3)/(2/24). Suppose 3*d = -g*d + l. Does 4 divide d?
True
Suppose -3*z - 5*w = -221, -2*w = -5*z - 94 + 452. Is 12 a factor of z?
True
Is (-3)/18 + 481/6 a multiple of 10?
True
Suppose 3*q - 209 = 349. Suppose 3*k - q = 9. Is k a multiple of 27?
False
Let q(o) = -3 + 0*o + 0*o - o**3 - 2*o - 3 - 5*o**2. Let r be q(-5). Suppose -r = -k - 1. Is k a multiple of 3?
True
Suppose 212 = 3*p - 430. Is p/9 - (-10)/45 a multiple of 12?
True
Let n(q) = -q**2 - 6*q + 7. Let a be n(-5). Let s = 39 - a. Is s a multiple of 7?
False
Let x(v) = 5*v - 3. Suppose k = -1 + 8. Is x(k) a multiple of 16?
True
Suppose 2*z + 9 = 3*h + 2*h, 5*z = 3*h + 6. Suppose -2*i + z*j = -57, -i + 4*i - 3*j = 87. Suppose 0 = c - i + 9. Does 9 divide c?
False
Let w(g) = -2*g - 7. Does 9 divide w(-11)?
False
Is (-2 - -3)/((-3)/(-42)) a multiple of 9?
False
Let s = 59 - 41. Does 3 divide s?
True
Let v be (-2)/2 + (-6 - 8). Is v/(-25) + 127/5 a multiple of 13?
True
Suppose 2*i + 4*b - 468 = 0, -b = -5*b + 8. Suppose -14*h + 9*h + i = 0. Does 12 divide h?
False
Suppose -i - 3*i + 2*u = 38, 2*i - 3*u + 13 = 0. Let n = 15 + i. Is ((-27)/6)/((-2)/n) a multiple of 4?
False
Let r(j) = j + 4. Let h be r(0). Suppose 0*b - i = h*b - 40, 0 = b - 2*i - 10. Does 4 divide b?
False
Let n(w) = -5*w - 16. Let t be n(-11). Let i = -11 + t. Is i a multiple of 21?
False
Suppose -5*x = 2*i, 5*i + x = 4*i + 3. Suppose 64 = 4*s - 52. Suppose i*u = s + 21. Is 5 a factor of u?
True
Is (1 - -13)/((-2)/(-4)) a multiple of 7?
True
Suppose -2*z - 560 = -9*z. Is 10 a factor of z?
True
Let l(r) = 2*r**2 - 5. Let u be l(-4). Is 16 a factor of 438/u - 2/9?
True
Let n = -5 + 5. Suppose n*j = 3*x + 2*j - 12, -5*x + 16 = 2*j. Suppose -u - 34 = -x*u. Does 13 divide u?
False
Let h(y) = -y + 5. Let b(x) = -2*x + 5. Let m(o) = 5*b(o) - 6*h(o). Is 4 a factor of m(-4)?
False
Let b(k) = -4*k - 9. Is b(-6) a multiple of 8?
False
Suppose 5*m - 374 = -5*f + 3*m, 365 = 5*f + 5*m. Is 19 a factor of f?
True
Let k = 97 + -18. Does 16 divide k?
False
Suppose -6*h + 380 = -h. Does 19 divide h?
True
Let y(w) = w**2 - 9*w + 2. Let s be y(12). Suppose -94 = -3*q + s. Does 9 divide q?
False
Is 9 a factor of (-45)/(-2) - 1/(-2)?
False
Let q(y) = y**2 + 8*y - 11. Let f be q(-9). Is 8 a factor of (1 - -19)*f/(-5)?
True
Let a = 2 + -2. Suppose d - 2*z - 8 + 1 = 0, a = -4*d - z + 19. Does 3 divide d?
False
Let k be -1*21/(-6)*-8. Let d = -13 - k. Is 15 a factor of d?
True
Suppose -7*z + 4*w + 23 = -2*z, 3*z - 4*w = 9. Is z/(-4)*(-4 + -4) a multiple of 14?
True
Let g be 2*(0 - (-1 + 0)). Suppose 0 = -g*j + 9 + 19. Does 7 divide j?
True
Suppose -2*m = -m - 5. Suppose -o - 2*o + 4*d = -84, -4*o + m*d = -112. Is 14 a factor of o?
True
Is 9/(4*6/104) a multiple of 11?
False
Suppose 0 = -v + 4*q - 7, -3*q + 7 = v. Is (-6)/(-3) + v - -3 even?
True
Suppose -4*i = i. Suppose 1 = y - i. Is 21 + -1 + 2/y a multiple of 18?
False
Let v(f) = -f**3 - 5*f**2 + 2. Let h be v(-5). Suppose 4*u + c = 157, -2*c + 119 = h*u + u. Is 15 a factor of u?
False
Let k(p) = -5*p**3 - p**2 - p. Let m be k(-1). Suppose 6 = m*z - 4. Suppose n - 4*x = -3*x + 5, 0 = n - 2*x - z. Is 4 a factor of n?
True
Let u(r) = 12*r + 8. Is u(8) a multiple of 20?
False
Suppose 0*a - a = -8. Is 2 a factor of a?
True
Let k(h) = -2*h**3 + 2*h**2. Let n be k(2). Let g = n + 11. Suppose 4*m - 4*q - 60 = 0, 5*m + 5*q = 62 + g. Is m a multiple of 13?
False
Let a(l) = -l**2 + 9*l + 7. Let b be a(8). Suppose i - 4*i + b = 0. Is i a multiple of 3?
False
Suppose 0*b + 2*b = -r + 55, -53 = -2*b + r. Is 9 a factor of b?
True
Let u = 28 - 17. Let m = 32 - u. Does 7 divide m?
True
Is (-2)/14*-471 - (-52)/(-182) a multiple of 8?
False
Suppose -4*f = 399 - 1023. Is 12 a factor of f?
True
Let b = -14 - -9. Let v = b - -8. Is 3 a factor of v?
True
Let z = -3 - -8. Suppose z*t - 57 = 13. Is t a multiple of 7?
True
Let w = 34 + -59. Let l = -12 - w. Is 13 a factor of l?
True
Suppose 0 = -4*j + 20, -q = -j - 99 - 232. Suppose 2*w - 4 - 178 = 0. Suppose -5*n - w + q = 0. Does 18 divide n?
False
Let x(r) = r**2 - 8*r - 7. Let h be x(9). Suppose -h*m = -0*m - 84. Is m a multiple of 21?
True
Suppose -2*d - 3*d + 20 = 0. Let v(o) = -2*o + 2. Let j be v(-7). Suppose 0*z = -z - 3, -d*z = 4*y - j. Is 7 a factor of y?
True
Suppose -j = -1 - 14. Is j a multiple of 5?
True
Let s = -39 - -87. Does 24 divide s?
True
Let a(c) = -5*c + 7. Let j(p) = 2*p - 3. Let x(d) = -4*a(d) - 9*j(d). Let z be x(-2). Let w(u) = -2*u - 4. Is w(z) a multiple of 4?
False
Suppose 2*c + 2*c = 2*v + 18, 0 = -3*c + 4*v + 21. Suppose h = -c*h + 80. Is h a multiple of 10?
True
Let b(a) = 4 + 5*a + 2*a**2 + 0*a**2 - 3*a**2. Let s be b(4). Does 9 divide (4/5)/(s/180)?
True
Suppose 0 = y - 4*y + 21. Is y a multiple of 2?
False
Let m = 41 - 25. Is m a multiple of 4?
True
Is 9/(-3*2/(-6)) a multiple of 8?
False
Let m = 38 + -3. Suppose -5*t - 3*g = -33 - m, t = -g + 12. Let o = -7 + t. Is 9 a factor of o?
True
Let q(u) = u + 3. Let p be q(0). Suppose 0 = -p*k + 4*z + 29, -k + 0*z + 2*z + 13 = 0. Suppose -2*b + 30 = -k*v, -3*b + 67 = 2*v - v. Does 19 divide b?
False
Let f(z) be the third derivative of -13*z**4/8 - z**3/6 - 2*z**2. Let x be f(-1). Suppose 5*m = 5*w - x + 233, w = -3*m + 113. Is m a multiple of 14?
False
Let y = -602 + 892. Is 25 a factor of y?
False
Suppose 2*m + 4 = 24. Is 5 a factor of m?
True
Suppose -3*f = 5*k - 47, 4*f - 2*k = 2*k + 52. Let m = f - -3. Does 12 divide m?
False
Let x be 4/((-4)/(-7)) + -1. Let a(y) = -2*y**2 + 2*y + 5. Let v be a(x). Let i = v + 83. Does 14 divide i?
True
Suppose 5*t - 67 = -22. Suppose -2*u = -t + 3. Does 4 divide (7/3)/(u/18)?
False
Let g(d) = d**2 - 23. Does 13 divide g(-7)?
True
Suppose -2*h + 46 = l, -2*h + 250 = 5*l + 3*h. Does 18 divide l?
True
Let i(v) = -3*v**2 - 2*v - 2. Let p be i(-2). Let s be (-1078)/33 - (2 - -1)/9. Let y = p - s. Is y a multiple of 23?
True
Su | {
"pile_set_name": "DM Mathematics"
} |
243 rounded to four dps?
-0.0001
What is -104027 rounded to the nearest 10000?
-100000
What is 0.010075 rounded to 3 decimal places?
0.01
What is 1.1986 rounded to 2 decimal places?
1.2
Round 0.6017 to one dp.
0.6
What is 0.0001823 rounded to five dps?
0.00018
Round 0.0325 to two decimal places.
0.03
Round 10580000 to the nearest one million.
11000000
What is 29579 rounded to the nearest one hundred?
29600
Round -1152 to the nearest one hundred.
-1200
Round 0.00006 to 3 dps.
0
What is -0.0005649 rounded to 5 decimal places?
-0.00056
What is 33610000 rounded to the nearest one million?
34000000
Round 0.2011 to two decimal places.
0.2
What is 29.2401 rounded to the nearest integer?
29
What is -725900 rounded to the nearest 100000?
-700000
What is -0.0006759 rounded to four decimal places?
-0.0007
Round -0.407 to 1 dp.
-0.4
What is -3033 rounded to the nearest 1000?
-3000
Round 0.0375 to three decimal places.
0.038
Round -0.006168 to three dps.
-0.006
Round 0.000134908 to five decimal places.
0.00013
Round 0.000002957 to seven dps.
0.000003
What is 7168 rounded to the nearest one hundred?
7200
What is -331360 rounded to the nearest 1000?
-331000
What is -28.143 rounded to 0 dps?
-28
Round -0.0034448 to four decimal places.
-0.0034
What is -29554.6 rounded to the nearest one hundred?
-29600
Round 0.00014115 to five dps.
0.00014
Round 0.22952 to the nearest integer.
0
What is -56570 rounded to the nearest 1000?
-57000
What is -2.326 rounded to 1 dp?
-2.3
Round -0.120076 to two decimal places.
-0.12
Round 0.0009653 to four dps.
0.001
What is -0.0000005351 rounded to 7 decimal places?
-0.0000005
Round -204849 to the nearest 10000.
-200000
What is 67750 rounded to the nearest one hundred thousand?
100000
Round -0.08588 to three decimal places.
-0.086
Round -127575 to the nearest 10000.
-130000
What is 0.00100261 rounded to 4 decimal places?
0.001
Round 36.713 to 0 dps.
37
Round -0.00037304 to five decimal places.
-0.00037
Round -205.343 to the nearest 10.
-210
Round 53.567 to the nearest 10.
50
What is -0.0000432 rounded to 6 dps?
-0.000043
Round 0.0000022982 to seven decimal places.
0.0000023
Round 0.00311 to three decimal places.
0.003
What is -0.0008058 rounded to 4 dps?
-0.0008
What is -2084200 rounded to the nearest 1000000?
-2000000
Round -0.00001408 to six decimal places.
-0.000014
What is 47170000 rounded to the nearest 1000000?
47000000
What is -15232 rounded to the nearest one thousand?
-15000
What is 0.000034049 rounded to seven dps?
0.000034
What is 0.006361 rounded to three dps?
0.006
Round -2.964 to one dp.
-3
Round -0.00002949 to six decimal places.
-0.000029
What is 18.13 rounded to the nearest 10?
20
What is 351020000 rounded to the nearest one million?
351000000
Round -9.909 to zero decimal places.
-10
Round 234.263 to the nearest 10.
230
Round 28480 to the nearest one thousand.
28000
Round 2093000 to the nearest one hundred thousand.
2100000
What is 10730 rounded to the nearest one thousand?
11000
What is 5238.7 rounded to the nearest 1000?
5000
What is 0.00010988 rounded to 6 decimal places?
0.00011
Round -2.079 to one dp.
-2.1
Round -0.000020615 to six decimal places.
-0.000021
Round -0.004296 to three dps.
-0.004
Round 132330 to the nearest 10000.
130000
What is 0.00005574 rounded to 5 dps?
0.00006
What is 159258 rounded to the nearest one hundred thousand?
200000
What is -17400000 rounded to the nearest one hundred thousand?
-17400000
What is -0.27211 rounded to 3 dps?
-0.272
What is -0.05982 rounded to one decimal place?
-0.1
Round 0.000045694 to five dps.
0.00005
Round 0.00001764 to six dps.
0.000018
What is 0.000684 rounded to 4 dps?
0.0007
What is 22.73 rounded to zero decimal places?
23
Round 0.00000407 to seven decimal places.
0.0000041
Round -6.029 to 1 decimal place.
-6
What is 9442100 rounded to the nearest 1000000?
9000000
What is 24300 rounded to the nearest one thousand?
24000
Round 17998000 to the nearest 1000000.
18000000
What is 120140 rounded to the nearest 10000?
120000
Round 2996600 to the nearest one million.
3000000
Round -2660560 to the nearest one million.
-3000000
Round -113.36 to the nearest 10.
-110
What is 0.112042 rounded to 3 dps?
0.112
Round 92902 to the nearest 10000.
90000
What is 374100 rounded to the nearest 10000?
370000
Round 0.004674 to 3 decimal places.
0.005
Round 0.019625 to three decimal places.
0.02
Round 0.5728 to 2 decimal places.
0.57
Round -0.02009 to three dps.
-0.02
What is -0.0085675 rounded to four dps?
-0.0086
What is 0.004678 rounded to three decimal places?
0.005
What is -110240000 rounded to the nearest 1000000?
-110000000
What is -33.7807 rounded to one dp?
-33.8
Round -0.000008153 to six decimal places.
-0.000008
Round 4400 to the nearest one hundred thousand.
0
Round 40200 to the nearest ten thousand.
40000
What is 192300 rounded to the nearest one hundred thousand?
200000
What is 0.00000753 rounded to 6 decimal places?
0.000008
Round 0.00000062745 to seven dps.
0.0000006
What is -0.0000002204 rounded to 7 decimal places?
-0.0000002
What is 0.0000361 rounded to five decimal places?
0.00004
Round 3.9866 to two dps.
3.99
What is -119.13 rounded to 0 dps?
-119
Round -0.018 to three dps.
-0.018
Round -0.04165 to 2 dps.
-0.04
What is 2949600 rounded to the nearest one million?
3000000
What is -11516000 rounded to the nearest 100000?
-11500000
Round -0.0012526 to four dps.
-0.0013
What is -223.41 rounded to the nearest ten?
-220
Round -0.000072297 to six dps.
-0.000072
What is -0.0078039 rounded to 4 decimal places?
-0.0078
Round -0.000001777 to seven decimal places.
-0.0000018
Round 234160 to the nearest one thousand.
234000
Round -1382770 to the nearest one hundred thousand.
-1400000
Round 4.3097 to the nearest integer.
4
What is -3952100 rounded to the nearest ten thousand?
-3950000
Round 0.048 to three dps.
0.048
What is -0.00000104 rounded to 6 dps?
-0.000001
Round 566.43 to 0 dps.
566
What is 92614 rounded to the nearest one hundred?
92600
Round -1236700 to the nearest 10000.
-1240000
What is 0.0031057 rounded to four decimal places?
0.0031
What is 2428.7 rounded to the nearest 100?
2400
What is 5790 rounded to the nearest 1000?
6000
What is 3210 rounded to the nearest one hundred?
3200
Round -0.04625 to 3 decimal places.
-0.046
What is 0.000000991 rounded to 7 decimal places?
0.000001
Round 113523 to the nearest 1000.
114000
Round 40000 to the nearest 1000.
40000
What is -1.2615 rounded to one dp?
-1.3
What is 0.0000217 rounded to six decimal places?
0.000022
Round -158550 to the nearest 100000.
-200000
Round -0.00000077208 to seven dps.
-0.0000008
Round 0.0001477 to five dps.
0.00015
What is 0.438 rounded to 1 dp?
0.4
Round 1.0425 to 0 decimal places.
1
What is 0.00253 rounded to four decimal places?
0.0025
What is 1.595 rounded to 2 decimal places?
1.6
What is 0.0000005412 rounded to seven decimal places?
0.0000005
Round 0.5614 to two dps.
0.56
What is 122210 rounded to the nearest 1000?
122000
Round 0.60864 to three dps.
0.609
Round -11.482 to the nearest integer.
-11
Round -0.000074274 to seven decimal places.
-0.0000743
Round 0.00006146 to six decimal places.
0.000061
What is -6.6855 rounded to one decimal place?
-6.7
What is -0.056043 rounded to 3 dps?
-0.056
What is 0.0000033797 rounded to 7 dps?
0.0000034
What is 226607 rounded to the nearest 1000?
227000
What is 0.000008207 rounded to 6 decimal places?
0.000008
What is -101180 rounded to the nearest one thousand?
-101000
What is -0.000007605 rounded to 6 decimal places?
-0.000008
What is 722900 rounded to the nearest ten thousand?
720000
What is 36.0201 rounded to one dp?
36
Round 15.64 to 1 decimal place.
15.6
What is -0.00084057 rounded to five dps?
-0.00084
What is -0.016105 rounded to four dps?
-0.0161
Round 30.32 to 0 dps.
30
What is -7.69 rounded to zero dps?
-8
Round 24300000 to the nearest 1000000.
24000000
What is -618730 rounded to the nearest 100000?
-600000
Round -0.000502 to four decimal places.
-0.0005
What is -0.0000006402 rounded to seven dps?
-0.0000006
What is -0.00000029912 rounded to seven dps?
-0.0000003
Round -177890000 to the nearest one million.
-178000000
Round 518620 to the nearest ten thousand.
520000
Round -0.0138806 to 4 decimal places.
-0.0139
What is -0.00000397 rounded to six d | {
"pile_set_name": "DM Mathematics"
} |
= -0.1 + -12.9. Let s = -13.3 - t. Is s greater than -0.5?
True
Suppose -2 = 3*m + 2*i, 2*i + 9 - 7 = 2*m. Is 1/51 equal to m?
False
Let m = 0.083 - -2.917. Which is greater: 17 or m?
17
Let m(y) = 2*y + 11. Let a be m(-6). Is a greater than or equal to -1?
True
Let l = 49/1185 - -2/79. Are -1 and l unequal?
True
Let f = 110111/91 + -1210. Let u = f + -100/819. Which is smaller: 0 or u?
u
Let v = -3 - -4. Let f = v - 0. Let t be (-4)/(-6)*(-1)/2. Which is smaller: f or t?
t
Suppose 0 = -5*l + l - 4. Which is greater: l or -2?
l
Suppose -t = -4*t + 18. Let f be ((-42)/(-224))/(t/(-4)). Which is smaller: 0 or f?
f
Let c(x) = -x + 3. Let k be c(6). Let q(u) = -u - 9. Let r be q(-8). Is r smaller than k?
False
Suppose 7*c - 2*c = -g + 19, 16 = 4*c + g. Suppose -c*k + 32 = k. Suppose 2*u + 2*u + k = 0. Which is bigger: -1/2 or u?
-1/2
Let r = -22.04 - -4.34. Let j = 17 + r. Which is smaller: 1/4 or j?
j
Let u be -4*(0 - -2)/(-4). Suppose 6 + 3 = -u*k - 3*i, k + 3*i + 9 = 0. Let b(d) = d - 6. Let f be b(5). Which is smaller: f or k?
f
Let m(p) = 2 - p + p**3 - 3*p**2 + 4 + p**2 - 3*p**2. Let t be m(5). Let i be -1*-6*(-8)/(-132). Which is smaller: i or t?
i
Suppose 5*v = 33 - 3. Suppose v*r = 2*r. Let j be 1*(-1)/(3 - 2). Which is smaller: j or r?
j
Let n = 3 + -1. Suppose 5*a - 20 = -4*f, n*f - 15 = a - f. Let w = -1 - a. Is 1 != w?
True
Let h(p) = -p**2 - 5*p - 4. Let l be h(-4). Does 13/9 = l?
False
Let o(i) = i**2 - 4*i - 2. Suppose -6*z + z + 20 = 0. Let h be o(z). Which is smaller: -1 or h?
h
Let a = -6 - -5.9. Let k = 4 + -6. Which is smaller: k or a?
k
Let y be 0 - -1 - (-36)/(-28). Which is smaller: y or 9?
y
Let n = 4 - 7. Let v(o) = -2*o - 7. Let d be v(n). Are -7 and d equal?
False
Suppose 0*v + v - 6 = 0. Let r be v/(-8) - (-6)/8. Suppose -3*x + 15 + r = 0. Are x and 6 unequal?
True
Let p be 3 + (3 - 82/12). Let x = 4/3 + p. Is x smaller than 0?
False
Let d(i) = -i**2 - 13*i + 5. Let c be d(-13). Suppose y + c = -0*y. Which is bigger: -4 or y?
-4
Suppose 0 = -5*f + 16 + 29. Is f at least as big as 9?
True
Let g = 73 + -217/3. Let z(w) = -3*w**2 + w. Let k be z(-1). Let r = 5 + k. Which is smaller: g or r?
g
Let g be 9 + (18/(-4) - (-2)/4). Which is smaller: 35/6 or g?
g
Let y(x) = x - 4. Let r be y(-8). Suppose 20 = 4*p, 5*k - 5*p + 17 + 18 = 0. Let a be ((-3)/k)/(r/(-32)). Is 4 < a?
False
Suppose 0 = d + 10 - 4. Let o be (290/d)/(12/(-28)). Let l = -113 + o. Which is smaller: 1 or l?
l
Let b = 2 + -2. Let o = 25 - 373/15. Which is greater: o or b?
o
Let d(n) = 3*n - 2. Let p be d(4). Suppose -3*y + 18 + 13 = -5*r, -p = 2*r. Suppose u = -k - 3, y*k = 4*u + 4*k + 12. Is -3 != u?
False
Suppose x + 3*x + 369 = 3*y, -x - 91 = -y. Let g be ((-1)/2)/((-6)/x). Is -2 smaller than g?
False
Suppose -2*x = -5*c + 7, -7*c - 3*x + 2 = -2*c. Is 2/13 equal to c?
False
Suppose k = -c, 7 + 3 = c - 4*k. Suppose -3 = c*b + b. Which is smaller: b or -2?
-2
Let l be 0/(-2) - (27 + -25). Is -4 > l?
False
Let b = -28/9 + -2/9. Is 0 at least as big as b?
True
Let u be -2 + 4 - (40/4 - 4). Let g = -8 + 4. Does g = u?
True
Suppose 4*g - 50 = -g. Suppose -2*r - g = -2*w - 3*r, r + 8 = 4*w. Suppose -5*k - 4 = 4*n, -2*n = -w*n - 5*k - 1. Which is smaller: n or -2?
-2
Let v = 11 + -17. Let h = v + 8. Is h not equal to 2?
False
Let c = -16291/6 - -2691. Let k = c - -25. Suppose 0*x - 3*n - 17 = -5*x, -4*x + n + 8 = 0. Is k at most x?
True
Let q be 62/1*2/(-4). Let d = -91/3 - q. Which is bigger: 1 or d?
1
Let w = 41/114 - 10/19. Let v be 2/(-5) + (-8)/5. Let h be -1 + 0*(-2)/v. Are h and w unequal?
True
Let b = -15 - -33. Let n = b + -11. Let r = n + -5. Is r less than 2?
False
Let m = 4 - 4. Let n = m - -1. Suppose -2*g = -4*c - 2, 3*g + 8 = 4*c - 9*c. Which is smaller: n or g?
g
Let w = -1255 + 8803/7. Is w greater than or equal to 4?
False
Let a be (9/6)/(2/8). Suppose -y + 0*y + a = 0. Suppose -20 = -4*z, -5*d - z + 6*z = -5. Is y at most d?
True
Let r = 6 + 8. Is 14 less than or equal to r?
True
Let o = -5263/15 - -351. Let c be -3 + (0 - (1 + -5)). Suppose 3*d - c = 2. Are o and d equal?
False
Suppose -v - 1 = -2*h + 4, h - 4*v = 13. Suppose 0 = m - 6 + h. Suppose 0 = -m*o + 10 - 0. Which is bigger: 1 or o?
o
Let t be 4/5*5/7. Suppose 12*u = 3 + 21. Are u and t equal?
False
Let s(h) = 0 - h + 1 - 4. Let r be s(-5). Let j = -4/19 + -3/76. Which is smaller: j or r?
j
Let o = -35 + 18. Let d = o - -16. Is d bigger than -13?
True
Suppose -8 = 2*v, -3 = 4*p + v + 1. Suppose 0 = -t - p*t - 5. Which is greater: -0.1 or t?
-0.1
Suppose 0 = a + 5, -5*a + a = -t + 22. Let o = -7 + 4. Which is greater: t or o?
t
Suppose -5*l + 3*l - 20 = 0. Are -9 and l nonequal?
True
Let h(d) = -d. Let z be h(-1). Suppose 10 = 6*i - i. Which is greater: i or z?
i
Let r = -28 + 17. Let q = 10 + r. Does q = 0.1?
False
Suppose 1 = 5*s - 9. Suppose m - w = 4, -m + 6 - s = -2*w. Is m != -2/11?
True
Let l be (1/(-11))/(2/(-6)). Which is greater: l or 0?
l
Let h = -4 + 3.9. Let l = -27 + 49. Let t = l - 68/3. Is h >= t?
True
Let i = -244 + 246. Let g(m) = 2*m**2 - m. Let q be g(1). Is q less than or equal to i?
True
Let z = -12.931 - 0.069. Which is greater: z or -8?
-8
Let h = 32 - 23. Let c be (-25)/h + (-4)/18. Which is smaller: c or -2?
c
Let k = -6/5 + 1. Suppose -a + 4*g + 20 = a, -3*a - 25 = 5*g. Let b = -1 + a. Which is bigger: b or k?
k
Let d(n) = -3 - 6*n - 2 + 2. Let t be (-1)/(-2) + 10/(-4). Let h be d(t). Which is smaller: 8 or h?
8
Let u = -3 - -2.7. Let m = u - 0.7. Let k = 1 - 1. Which is smaller: k or m?
m
Let m be -4*(3 + 4/(-2)). Let z = 5 + m. Is z greater than or equal to 1?
True
Suppose 0 = -136*n + 145*n + 90. Let v be (-1)/3*-2*-15. Is n bigger than v?
False
Let r be -4*((-21)/4 - -2). Is 13 < r?
False
Let z be 5*(4 + (3 - 3)). Let s be ((-5)/z)/((-1)/8). Let a be -2*2/(-4) + 0. Is a greater than s?
False
Let q(p) = -p**2 + 10*p + 14. Let k(x) = 4*x**2 + 4*x + 3. Let r be k(-2). Let w be q(r). Let f(t) = t + 2. Let d be f(w). Which is bigger: d or 6?
6
Suppose 0 = -g + 2*g - 10. Let n be (-2)/(-4) - (-15)/g. Suppose -2*v = -5*b + 13, 4*v = 2*b + n*b - 20. Is 0.3 equal to b?
False
Suppose -3*k + k + 4*o - 206 = 0, 0 = -3*o - 12. Let n be ((-10)/(-25))/(k/15). Is n less than or equal to 0?
True
Let p be (-3 - -1) + 5 + 26/(-10). Let f = -0.3 - -0.6. Let s = f - 0.2. Is s at most p?
True
Let l(g) = -g - 4. Let u = -1 + -3. Let f be l(u). Suppose f = x - 0*n + 2*n + 3, 4*n = -x - 5. Which is greater: x or -1/8?
-1/8
Let k be ((-4)/24)/((-1)/40). Are k and 7 equal?
False
Let j = -10.7 + 24.3. Let t = -15 + j. Let q = 0.6 - t. Which is smaller: 1 or q?
1
Suppose -5*w - 5*b + 20 = 0, 2*b - 3 = 3. Is w bigger than 4/17?
True
Let b = 0.2 - 0.3. Suppose 6 = -5*l + 10*l - 3*k, -5*k = -4*l + 10. Is l > b?
True
Let v(u) = -u**3 - 14*u**2 - 11*u + 32. Let g be v(-13). Which is smaller: 1 or g?
1
Let m(i) = -i - 11. Let d be m(-10). Let h = -23 + 23. Is d smaller than h?
True
Let w = -21.1 - -4.1. Let i = 16.6 + w. Let r = 2 + -2. Is r less than or equal to i?
False
Let f = -0.216 - -0.116. Is -1.4 > f?
False
Suppose -22*h = -21*h + 1. Is h at least -4/39?
False
Let o = -0.04 - -0.07. Let x = 0.42 - 0.25. Let q = x + o. Is 1/4 bigger than q?
True
Let n(o) = -18*o**2 - 6*o - 7. Let z be n(-1). Is z at most as big as -21?
False
Let t(l) = -l**3 - l - 1. Let m be t(-1). Let j = -7 - -9. Let a = j - 3. Which is smaller: m or a?
a
Let q = -149 - -148. Which is smaller: 3/11 or q?
q
Suppose -15 = -7*s + 2*s. Suppose -r = -s*n + 26, -n + 0*n + 5*r = -4. Suppose -5*m - n = -2*m. Are m and -2 unequal?
True
Let f(g) = 5*g**2 + 1. Let r be f(1). Suppose a - r*a = -3*z + 27, a + 19 = 4*z. Suppose 28 = -s - 4*s + 4*j, -4*j - z = 3*s. Is -4 at most as big as s?
True
Let f be (1 - 6) + 7 + (8 - 1). Is 6 < f?
True
Suppose -3*s - 326 = 73. Let w = 667/5 + s. Let v = 0.4 + -0.5. Which is smaller: w or v?
v
Let o = 2.18 + -0.18. Let b = o - 1.9. Let x be (-21)/(-27) - (-1 - -2). Which is smaller: x or b?
x
Let c be -5 + 27/6 + (-2)/4. Is c at most -1/114?
True
Let c = 1.1 + -1.12. Which is smaller: c or 2?
c
Let y be (-16)/88*(-6850)/4. Let j = 311 - y. Is j less than 0?
True
Let c = 1 - -7. Let q be 2/2 - (5 - -2). Let j be q/(-4)*c/42. Which is smaller: 0 or j?
0
Let x = -1 - -4. Suppose 4 = x*g | {
"pile_set_name": "DM Mathematics"
} |
108/99)
Simplify (((((u/u**(1/4))/u)/u)/u)**(-2/53))**(-50)*((u**4*u)/u**(1/9))**23 assuming u is positive.
u**(51611/477)
Simplify ((m**(-14)*m**(-4/7)*(m/m**(-8))/m**6)**(-3))**50 assuming m is positive.
m**(12150/7)
Simplify (((x**(-1))**24*x/x**(-6)*(x**(-3/5)/x)/x)**(-2/101))**(4/29) assuming x is positive.
x**(784/14645)
Simplify (n**(-6/11)*n/(n/(n/(n*(n*(n*n*n*n**(-8/7))/n)/n)))*(n/(n**(4/17)/n))**(-11))**(-47) assuming n is positive.
n**(1280562/1309)
Simplify (((l/(((l/l**(-20/11))/l)/l*l)*l)/l)/l)/l**41*(l*l*(l*(l**(-33/5)*l*l)/l)/l)**(-16/5) assuming l is positive.
l**(-8607/275)
Simplify (x**(-1/3)/(x**2/x))/(((x*x**(-4))/x)/x**(2/3))*((x*x*x*x/x**(-1/5))/(x*x**(-11/4)))**(-5) assuming x is positive.
x**(-317/12)
Simplify (o**(-12)*o/((o*o/(o/o**(2/9)))/o)*(o*o*o**6*o*o*o)/o**(-6))**(-5) assuming o is positive.
o**(-260/9)
Simplify (v*v**(-2/3)*v)**19*(v*v**(-4/9)*v*v)/v*v*v*v**5/v*(v**1*v*v)/(v**(2/5)/v)*(v/(v/(v**(2/3)*v)))/(v*v/(v*(v/v**(-2))/v*v)) assuming v is positive.
v**(1807/45)
Simplify (i*i*i/(i**(-2/7)/i))**(-1/14)*i**(-2/3)*i**(-7)*(i**0/i*i)**(8/11)*i/(i**(-6/7)/i)*i/(i/i**(-4)*i) assuming i is positive.
i**(-1487/147)
Simplify (((y**(-3/4)*y/y**(4/7))/(y/(y*y/(y/y**(2/5)))*y*y)**(-5/7))**(2/45))**(-50) assuming y is positive.
y**(-115/63)
Simplify (f**(-2/9)/((f**(-8)*f*f)/f))**(-44)/((f**(-2))**(2/47)/(f/f**(1/2))**(-1/43)) assuming f is positive.
f**(-10846055/36378)
Simplify ((b/(((b/b**(-8/3))/b)/b))/b)**(-8/5)/(((b*b**18)/b*b*b)/((b*(b**(5/7)/b*b*b)/b*b)/b)) assuming b is positive.
b**(-328/21)
Simplify (((o**0*(o*o/(o**(-4)*o))/o)/(o**(-2/7)/o*o**(-2/3)))**(2/59))**(-1/20) assuming o is positive.
o**(-25/2478)
Simplify ((u**(-3/2)*u/u**(-6))/((u**(1/2)*u)/u)**12)/(((u**4/u)/(u**(-2)/u))/(u**1*u*u)**(-3)) assuming u is positive.
u**(-31/2)
Simplify (z/z**(-3/4)*(z/((z/(z/((z/(z*z**(4/3))*z)/z)))/z))/z)**41/(z**(-4/3)*z**(2/21)/z)**(-18) assuming z is positive.
z**(10679/84)
Simplify (f**4*f**(-7))**44*((f/f**(-2/5))/f*f)**(-6/19)*f/f**(-8)*f**(-2/3) assuming f is positive.
f**(-35371/285)
Simplify (v**(-2/11)*v**(-2)*(v**(-1))**(-3/32))**(-2/11) assuming v is positive.
v**(735/1936)
Simplify (f**(-1/11)*f*(f**(-39)*f)/f*f**(-27)/(f/f**5))**(-2/73) assuming f is positive.
f**(1344/803)
Simplify ((n**(1/12))**8/(n/(n*n/n**(-9/2))*n*n*n**18))**(11/6) assuming n is positive.
n**(-913/36)
Simplify ((s/(s*(s**(-5)/s)/s))**(-50)*s**(-23/2)*s*s/(s**(1/2)/s*s))**32 assuming s is positive.
s**(-11520)
Simplify (g**(2/5))**19*(g*g/(g*g/(((g/(g*g**(-1)*g)*g)/g*g*g)/g)))**20*(g/(g*g/g**(-1/3)*g)*g/g**(1/2))**(-5/2) assuming g is positive.
g**(1931/60)
Simplify (((w**(2/7)*w**(-4/5))/((w/(w/w**(2/7)))/w)**(-44))**29)**(1/28) assuming w is positive.
w**(-16211/490)
Simplify v*v/((v/v**(-4/7)*v)/v)*v*v**(-2/23)*((v*(v*v/v**(1/2)*v)/v)/v)**(2/47)*((v/v**(-7))/v**(-2/15))**(-7) assuming v is positive.
v**(-6302693/113505)
Simplify ((k/k**(1/3))**41*(k*k**(-1))**(-4))/((k/(k*(k**(-2)*k)/k))**(2/59)*((k*k*k/(k*k/k**2)*k)/k*k)**(3/4)) assuming k is positive.
k**(4295/177)
Simplify (v**(-9)/(v**(3/2)/v))**(-31)/((v*v**(1/4))**(2/57)/(v**(-1/6)*v*v**(5/2))) assuming v is positive.
v**(5658/19)
Simplify ((d/(d*d**0)*d)/(d/(d*d/(d**(-6)/d)*d*d))*(d**(1/4))**(-14))/((d**1)**(-3/31)*(d/(d/d**(1/4)))**8) assuming d is positive.
d**(347/62)
Simplify (j**(19/4)/(j**22*j)*(j/j**10)/(j/(j/(j/(j/j**(-7))))))**(-16) assuming j is positive.
j**324
Simplify (l**(29/2)/((l*l**(1/25))/l*l)*l/l**(-3/10)*l**(-1/6)/l)**(1/5) assuming l is positive.
l**(2039/750)
Simplify ((c/(c/(((c/(c**(-15)*c)*c)/c)/c)))**(-19)*c*c**(-4/7)/c*c**(-10))**(-27) assuming c is positive.
c**(52272/7)
Simplify (((n**(2/7))**(-7)*((n*n*n**1)/n)/(n*n/(n*n**7)*n))**20)**(7/8) assuming n is positive.
n**(175/2)
Simplify d*d*d*d/((d**(-4)*d)/d)*d*d**(-1/10)*(d/d**(-2))/((d**(-3/4)*d)/d)*((d/(d*d**(-1)/d*d*d))**(1/3))**(-2/27) assuming d is positive.
d**(253/20)
Simplify ((((l**(-1/4)*l)**41)**(8/7))**(-12/7))**23 assuming l is positive.
l**(-67896/49)
Simplify (j**(1/14)*j*j/(j*j/(j*(j*j**7)/j)))**(-31)/((j/(j/(j**(-9)/j)*j))/j*j*j*j**1/j)**(-7/8) assuming j is positive.
j**(-7251/28)
Simplify ((a**(-1/6))**(-13))**22*((a**(-1/2)/a)/a)**(-1/30)*a**1/a**(1/2) assuming a is positive.
a**(193/4)
Simplify ((p/((p/(p*(p**(-4/5)*p)/p))/p))**36*(p/(p/p**(-3/2)*p))**39)**(-26) assuming p is positive.
p**(7059/5)
Simplify ((x*x/x**0)**(-15)/(x**(-2/7))**(-29))/(x**(1/4)*x**(-3))**(1/58) assuming x is positive.
x**(-62099/1624)
Simplify (((p/(p**(-1/3)/p*p))/p)**(1/2)/((p/(p/p**(-8)))/p**6))/((p**(1/2)*p)**(4/7)/(p**(-1))**(1/9)) assuming p is positive.
p**(1663/126)
Simplify ((r**(-1/2))**29/(r/r**(-1))**(-10/9))/(((r**(-2/3)/r)/((r/(((r**(-2/9)/r)/r)/r))/r))/(r**(-1))**(-36)) assuming r is positive.
r**(515/18)
Simplify (((p*p*p*p/p**(2/3)*p)/p)**(2/11))**(2/31)/(p**(1/5)*(p*p/(p**(-1/4)/p*p*p)*p*p*p)/p*(p/p**1)**18) assuming p is positive.
p**(-69787/20460)
Simplify (((a*a**7*a)/(a**18*a))/(a**(-12)/a)**(8/13))**(-35) assuming a is positive.
a**70
Simplify (((f**(-7)*f**(1/29)*f)**(-2/57))**(-6/11))**43 assuming f is positive.
f**(-29756/6061)
Simplify (((x*x/((x/((x/(x/(x*x*(x**(-10)/x)/x)))/x*x))/x)*x)/x**(-12))/(x**34/(x**(30/13)/x)))**32 assuming x is positive.
x**(-11520/13)
Simplify (q**(-25))**(-8)*(q*q**20*q)/(q**3/q) assuming q is positive.
q**220
Simplify ((k/(k/(k**(-26/7)*k))*k**(18/7)*k)/(k**(2/11))**(-16/7))**(7/2) assuming k is positive.
k**(49/11)
Simplify (((z/(z*z*z**(-3/7)*z)*z)/z*z)/z**3*(z*z/(z/z**(-2/3))*z)**(-3/25))/((z*z**0)**(-6/17)*z**(-4/3)/z**(2/5)) assuming z is positive.
z**(-14683/8925)
Simplify ((b/((b*b**(-2/21))/b)*b**0)/(b*(b*b/b**6*b)/b)**(-2/89))**(-29) assuming b is positive.
b**(-55709/1869)
Simplify (((o/(o/(o*o/(o*o**19))))/o**22)**(15/4))**(-35) assuming o is positive.
o**5250
Simplify ((y/(y/(y**(2/7)*y)))**(-38)/((y/(y**(-4/9)/y))/y**9))**(-26) assuming y is positive.
y**(69290/63)
Simplify (((c*c**(-1)*c)**(-2/15)/(c/(c/(c/c**1)))**(-3))**45)**29 assuming c is positive.
c**(-174)
Simplify ((s/s**(-1/3)*s)/(s*s**(3/2)))**9*((s/(s**6*s))/s)/(s*s/s**6)*(s*s*s/(s**(-1/2)/s))/s**0 assuming s is positive.
1
Simplify u**(-2)*u**(-1/4)*u*u*(u*u**(-2))/u*u/u**(-2/15)*(u**(-7)*u*u*(u*u/(u/(u/(u/(u/((u*u**10)/u)))))*u)/u*u)**(3/25) assuming u is positive.
u**(-767/300)
Simplify (o/(o**9*o)*o/((o*o*(o/((o**(-3/5)/o*o)/o))/o)/o)*(o**2)**(-18))**(-35) assuming o is positive.
o**1631
Simplify (((y**(-1)/y)/y)**(-5))**(-1/44)/(y*y/(y**(-4)*y)*y*y*y*y**(-2/11))**(-50) assuming y is positive.
y**(17185/44)
Simplify (c**(-3/11)/(c/(c/(c/(c*(c*c**(1/4))/c*c*c)))))/(c**7*c/c**7)*(c/c**(-4/3)*c**11)**(-17) assuming c is positive.
c**(-29791/132)
Simplify (b**6/b*b*b/(b/(((b**(3/10)/b)/b)/b)))**13*(b/b**(-3))/(b*b**(-5))*b*b**(-3/5)/b*b*b**(-3) assuming b is positive.
b**(483/10)
Simplify ((t**1/t)**(-7)*(t**(-1/2))**(2/77))/(t**(4/5)/(t*(t/t**(1/2))/t)*t/(t*(t/t**(1/7)*t)/t*t*t)*t*t/(t*t**0/t)*t) assuming t is positive.
t**(-351/770)
Simplify (((x*x/x**(-10))/x**(-1/13))/(x/x**6)**(-2/29))**(3/4) assuming x is positive.
x**(13269/1508)
Simplify (z**(3/2)/z**(2/27))**(-18/5)*((z/z**(-1))/z)/z*(z/((z/(z*z**3))/z))/z*z*(z**(-2/3))**(2/91) assuming z is positive.
z**(-202/1365)
Simplify (((r/((r*r*r**(-12))/r))/(r/(r/r**15)))/(r*r*r*r**21*r*r)**40)**13 assuming r is positive.
r**(-13559)
Simplify ((z*z**1/z*z)**28/((z**0*z)/z)**(-2/79))/((z*z/z**(-2/9)*z)**(-36))**16 assuming z is positive.
z**1912
Simplify (((((k**2/k)/k)**(-37))**11)**(3/16))**(-38) assuming k is positive.
1
Simplify (r**(-1/2))**12/((r**(-4/5)*r)/r**5)*(r**9*r/r**(-8))**(4/3) assuming r is positive.
r**(114/5)
Simplify ((s**(-6))**35/(s**(-2/3)*((s*s**(-1)/s)/s*s)/s))**(-3) assuming s is positive.
s**622
Simplify ((a/a**(-2/3))**(-2/17))**(-11/4)/((a*a**0*a*a*a)**(26/3)/((a**(2/15)*a)/(a/a**2))) assuming a is positive.
a**(-5439/170)
Simplify ((((k/(k*k/(k**9*k))*k)/k*k)/k**(-1/8))/(k**(1/3))**(8/5))/((k/k**(-1)*k)**(-43)/(k**(2/9)/(k*k**(-2)))) assuming k is positive.
k**(50333/360)
Simplify ((y*y*y*y**2*y*y)**(-39))**(4/11)*(y**(-6)*y)/y*y*y/(y/(y**(2/15)/y)*y)*y*y**(-7)/y*y**(-4/7)*y assuming y is positive.
y**(-130181/1155)
Simplify ((((j*j**(-3))/j**4)/((j/(j/(j**(2/9)/j)))/j**(1/7)))** | {
"pile_set_name": "DM Mathematics"
} |
- 3*v - 32 = 3*s. Let i = -67 - -72. Calculate the least common multiple of i and s.
20
Let z(d) = -d**2 + 9*d - 5. Let a be z(7). Let p(t) = t**2 - 8*t - 7. Let i be p(a). What is the common denominator of 13/6 and ((-576)/14)/4 + i?
42
Let n(j) = 341*j - 28. Let h be n(7). Let k = h + -9527/4. Find the common denominator of 21/4 and k.
4
Find the common denominator of (-7)/(-21) + (-860)/168 and (274*1/(-8))/3.
84
Let k = 18 - 8. What is the smallest common multiple of (-5)/10*k*-4 and 30?
60
Let d(r) = -167*r**3 - r**2 + 2*r + 1. Calculate the smallest common multiple of d(-1) and 8.
1320
Let r be (-1144)/897*(-1 + 106/(-8)). Let w = 10001/506 - r. What is the common denominator of -111/22 and w?
22
Suppose -21*s + 142 + 5 = 0. What is the smallest common multiple of 20 and s?
140
Suppose 2*z + 88 = -72. What is the common denominator of -43/6 and 30/(-50) + (-373)/z?
48
Suppose 3 = -4*u + 5*u. Suppose v + 3*v = u*r - 99, 0 = r + 2*v - 23. Let f = -527 + 3739/7. Calculate the common denominator of f and r.
7
Let a = -5257411 + 315426547/60. Let p = a - -1799/6. Calculate the common denominator of -69/2 and p.
20
Let o(u) = 8*u**3 - u. Let w be o(1). Let p = -251 + 259. Calculate the common denominator of -21/5 and p - w - (-73)/(-6).
30
Let a = -12/9373 + -546743/4892706. Calculate the common denominator of -65/18 and a.
522
What is the least common multiple of (-2)/11 - 2000/(-110) and (6/5)/((-1)/(40/(-12)))?
36
Calculate the common denominator of 3/29 and 3/28*7*2/(-5).
290
Let t = -29 - -329. What is the lowest common multiple of 36 and t?
900
Let b = 98 + -86. Calculate the lowest common multiple of 24 and b.
24
Let r = -60 - -85. Let o be (-40)/6*30/r. Calculate the lowest common multiple of 12 and 31/2 - 4/o.
48
Suppose 4*y - 70 = 2*w, 2*w - 2*y = 3*w + 43. Let a = -27 - w. Suppose 0*u - 24 = -4*u. Calculate the smallest common multiple of a and u.
12
Let y be (62356/(-18) - 0) + -4. Let o = y - -3460. Find the common denominator of 1/5 and o.
45
Let j be (-421620)/(-42) + 3/7. Let z = j - 60101/6. Find the common denominator of z and (-1 - 53)/(65/(-5)).
78
Let p be 3 + 458/(-6) + (-8)/(-24). Find the common denominator of 47/3 and (-6 - p)*(-2)/6.
3
What is the common denominator of -74/3 and ((-22)/(-268))/((-183)/122)?
201
Let q(x) = x**2 - x + x**2 + 3*x + 2*x**3 - 4*x. Suppose b = m + 4, 0 = 4*b + m + m - 4. Calculate the smallest common multiple of 3 and q(b).
60
Suppose 0 = -2*y + 2*t - 14, 4*y - 2*t + 6*t + 52 = 0. Find the common denominator of (-4)/y - ((-283)/(-70) - 0) and -39/20.
140
Calculate the common denominator of -43/3 and (-46)/11 + 4 - 918/(-88).
12
Suppose 105 = 5*y + 5. Suppose -4*q + 60 = -f, -5*q + 3*q + 16 = -4*f. Calculate the least common multiple of y and q.
80
Let v = 1888 + -1834. Calculate the smallest common multiple of v and 126.
378
Suppose 10 = 5*x - 4*k, 3*x - 4*k - 8 = -x. What is the lowest common multiple of 287/91 - x/13 and 21?
21
Let s(n) = -n**3 - 2*n**2 + 3*n + 4. Let r be s(-5). Suppose 2*h = -3*c + r, -h - 37 - 12 = -3*c. What is the lowest common multiple of c and 22?
198
Suppose -3*a - 29 = -3*b + 28, -74 = -5*b - 2*a. Let o(c) = -c - 7. Let i be o(-6). Let x(w) = -15*w - 1. What is the lowest common multiple of x(i) and b?
112
Let g(n) = -3*n - 21. Let k be g(-20). Suppose -w + k = 31. What is the lowest common multiple of 0 - (-2 + 0/1) and w?
8
Let w(q) = -4*q - 3. Let a be (-14)/21*6/4. Let r be w(a). Suppose -r = 5*l - 26. Calculate the least common multiple of 10 and l.
10
Suppose -2 = 3*s + 4. Let d(w) = -5*w - 6. Calculate the lowest common multiple of (-1 - -2)/((-2)/(-18)) and d(s).
36
Calculate the smallest common multiple of 124/14 + (-67)/(-469) and 11.
99
Let i = 727 + -718. Calculate the least common multiple of 208 and i.
1872
Let g be 40 - (-4 + 1 + 1). Find the common denominator of 95/24 and (2*(3 - 145/g))/1.
168
Let g(f) = f**2 - 4. Suppose 0 = i - 5*c + 29, 5*i + 4*c - 5*c = -25. Let l be g(i). Calculate the common denominator of (-628)/(-42) + l/(-42) and 29/5.
15
Let t = -46588079/294 - -158463. Calculate the common denominator of t and -109/70.
1470
Suppose 3*t - 2 - 193 = 3*a, -5*t - 2*a = -318. What is the lowest common multiple of t and 16?
64
Let s = 146 - 332. Let v = 509/3 + s. What is the common denominator of v and 107/6?
6
Suppose 43 - 303 = -10*j. What is the least common multiple of j and ((-1)/(-2))/((-2)/(-80))?
260
Let k(g) = 3*g - 36. Let d be k(11). Let h = -461 - -963/2. What is the common denominator of h and (0 - 5/70)*(-1 + d)?
14
Find the common denominator of -29/66 and 2792/(-5280) + (-2)/(-5).
132
What is the least common multiple of (0 - -1) + 10 + 2 + -10 and 12?
12
Suppose -j = -0*j - 5. Suppose -v + j*v + 16 = 0. What is the common denominator of 56/9 and ((-100)/(-16))/(11/v)?
99
Suppose -39 = -2*l + 3*i, -5*l + 4*i - 54 = -134. Suppose 5*c - 1 - 19 = 0. What is the smallest common multiple of l and 2/(-4)*4/c*-28?
84
Let b = -1 - 5. Let g be b/4*(-6)/(-3). Calculate the common denominator of -3/22 and (-570)/(-36)*g/(-20).
88
Let q be ((-62)/(-4))/(70/756). Let m = q - 803/5. Find the common denominator of -23/10 and m.
10
Let x be (-43)/(-6) - 2/12. Let z = -1 + x. Suppose -2*s - 12*s + 196 = 0. Calculate the lowest common multiple of s and z.
42
Suppose d + 2*d - 33 = 0. Let f = 12474 - 12429. Calculate the smallest common multiple of d and f.
495
Let x be 4 - (0 - 0) - -3. Let z(j) = j**3 - 6*j**2 - 6*j - 4. Calculate the smallest common multiple of (-3)/5 - 128/(-5) and z(x).
75
Let p = -7 + 0. Let o = 10 + p. Suppose 7*m - 88 = o*m. What is the least common multiple of m and 18?
198
Suppose 5*o - 72 = -w + 18, 3*w = 2*o + 202. Find the common denominator of (-10)/(-35) + (-279)/w and -27/20.
20
Let g be (-84)/(-4) + 8/(-2). Suppose -21*l + g*l = -88. What is the smallest common multiple of 8 and l?
88
Let h(f) = f**3 + f**2 - 2. Let t be h(1). Suppose -3*k - 4*w = -41, -5*w + w - 4 = t. What is the smallest common multiple of k and 1?
15
Find the common denominator of -1/64 and 219*8/864 + (-4)/(-6).
576
Suppose -129*n = -128*n, 0 = 2*q - 5*n - 96. Calculate the lowest common multiple of q and 96.
96
Let u be 0*1*(2 - 1). Suppose u*k = 3*k - 12. Let m(l) = l + 3. Calculate the least common multiple of m(13) and k.
16
What is the lowest common multiple of 27*(-18)/15*60/(-54) and 18?
36
Let j(f) = 18*f**2 - 3*f**3 + 0*f**2 + 10*f + 4*f**3 - 3*f**2. Let u be j(-12). Calculate the common denominator of -101/12 and (-4)/(-26) + (-5924)/u.
12
Let p = 5 + 0. Suppose -3*w + 1 = -p. Let b = -1 + w. What is the least common multiple of b and 1?
1
Suppose -861 = -3*y + 63. Calculate the lowest common multiple of 88 and y.
616
Let q = -6422/153 + 774/17. Let k = 81903/10 + -8181. Calculate the common denominator of q and k.
90
Let k be 219/(-2)*(-40)/(-96). Let q = -33/8 - k. Calculate the common denominator of q and -22/13.
26
Let n = -58 + 40. What is the common denominator of (((-4)/5)/1)/(3/n) and 61/8?
40
What is the common denominator of (495/4)/3*14/(-42) and (0 - -1)*31/(-9)?
36
Let r be ((-2)/(-10))/((-7)/(-35)) + 6. Suppose -5*w = 3*q - 43, -5*q - r = -2*w + 4. Find the common denominator of w and -39/4.
4
Let i be (-2 - -15) + 2/(-2). Suppose 0*s + i = -4*s. What is the common denominator of s/15*710/(-4) and -34/11?
22
Suppose 3*r - 5*r + 20 = 0. What is the common denominator of (18/r)/((-2)/35) and (-671)/33*(-15)/(-100)?
20
Let g be 2 - (-4 + 3 - -283). Let s be 3 + ((-55756)/g - 2). Let l = s + -991/5. What is the common denominator of -89/18 and l?
126
Suppose 2*o + i = -768, -3*o - o - 3*i = 1540. Let c be (30435/50)/((-8)/(-5)). Let q = o + c. Calculate the common denominator of 61/22 and q.
176
Let t = -104105/2 + 51053. Let k = 47971/48 + t. What is the common denominator of k and 113/6?
48
Suppose 118 = 5*p - w - 3*w, -w + 20 = p. Suppose -p = -z - 5*k, 4*k = 2*k + 4. Calculate the least common multiple of z and 33.
132
Let v(z) = 6*z**2 + z + 6. Let f be v(-4). Suppose 3*i = 4*i + 27. Calculate the common denominator of f/i*9/6 and 6/11.
99
Calculate the common denominator of 131/6 and (12/(-18))/(32/(-856)).
6
Let i = 171 - 167. What is the lowest common multiple of i and 2?
4
Suppose -4*i - 3*h + 1 = -9*i, | {
"pile_set_name": "DM Mathematics"
} |
(-1716)/308.
-3/7
What is (9 + -4)*1134/(-4050)*(-4)/(-14)?
-2/5
What is the value of (-33)/(29733/34) - (-1356)/2226?
4/7
Evaluate 32/(-2) + 84/134232*25619.
3/94
Evaluate 34386/39468*46 - 1/13.
40
Calculate (-64)/8 + ((-90)/(-19) - (-308 - -305)).
-5/19
What is ((-6)/(-5))/((-150)/(-13125)) + 6?
111
What is the value of ((-9)/6)/((-3585)/1434*6/710)?
71
Calculate 1017/(-25) + 32/400 + (-78)/(-30) + -3.
-41
What is 886/152 + (-7160)/(-17005)?
25/4
What is (0 + (-12)/(-60) - (-1 + 1)) + (-5056)/29230?
1/37
Evaluate 1305/174*(-21484)/1965.
-82
What is 8160/432 - ((-261)/(-81))/(-29)?
19
Evaluate (3350/225)/(-5 + (2 - (-400)/144)).
-67
((-17)/2)/(4/(-36) - (414/(-324))/(-23))
51
Calculate 765/2295*(-36)/(2 + 0) + -64.
-70
Evaluate 4/10 + (-84)/10 + (57038/608 - 86).
-3/16
Calculate 11656593/(-187362) + -1*(-3)/14.
-62
Evaluate (-23783)/4197*324/(-102).
18
What is the value of 24/120*(-1)/(-4)?
1/20
(-39)/(-7) + (-678)/(-1582) - (1 - 49)
54
Calculate (-9)/(297/6) - ((-58)/232)/(44/186).
7/8
What is 786/21615 + 40415/275 + 1?
148
Evaluate 5844/(-195) - 240/(-8).
2/65
What is (-1 - (-138)/135)/((-161)/(-690) + 6/9)?
2/81
Evaluate (14/(-72))/((-50575)/72250).
5/18
-22 + (-1148)/(-231978)*82*(-222)/(-4)
12/23
What is the value of (-2)/(-4)*20*27/(-756)*14 + -25?
-30
What is (-24)/(-195)*((5 - 2)/(-18))/(1460/2190)?
-2/65
What is the value of 3439/1729 - ((-5)/10 - (-1 - (-9)/(-6)))?
-1/91
What is the value of 6402/(-97097) + 2/(-26)?
-1/7
What is ((3 + -2)/(10/600*18))/((-2)/(-21))?
35
Evaluate (18/(-11) + 210/55 + -4)/((-176)/968).
10
What is the value of (22/(-3300)*36*-15)/(44/(-10))?
-9/11
What is (-32)/(-5)*(-9521)/(-533176)?
4/35
Evaluate (-44)/(-7)*(713 + -706).
44
Calculate (-5 - -99) + 766 + -779.
81
Calculate (39/468)/(1/45) - (-1 - -6).
-5/4
Evaluate (50400/8820)/(9 - (-50)/70).
10/17
((624/(-60) - -6) + 5)*-2*(-5)/46
3/23
Evaluate 1612/78*(12 - (7 + 2)).
62
What is (29 - 161813/5562)/((-35)/2583)?
41/6
What is 2*(5/(-5) - (-12 - (756/(-8))/(-21)))?
31
-4*3/66 + (105/475 - 82/3895)
1/55
What is 34 - (-64 + (-2479)/(-37))?
31
Evaluate (6/(-5)*(-65)/117)/(13/((-2262)/(-4))).
29
What is the value of 11/(-154)*98*(1 + -2)/(7/119)?
119
1392/(-34) + 2115/(-35955)
-41
Calculate (-3791)/57534*20/(-85).
2/129
What is the value of 19 - 10 - (-210)/357*-15?
3/17
What is (-11164)/180 - (-21576)/348?
-1/45
What is the value of 2786/25074 + 453/(-2)*64/216?
-67
What is the value of (6/16)/(99/66) - 407/1276?
-2/29
Calculate 870/(-78) + 700/4550.
-11
Evaluate -142 - 12887/(-70) - (-36)/40.
43
(17364/(-22))/6 - ((-14306)/253 - -56)
-131
(8/(-48))/((-16)/(-1260)) + 8/(-384)*-6
-13
What is the value of (((-16362)/(-8383))/(-81))/(-1)?
2/83
What is the value of 46580/32606*(-7)/2?
-5
Evaluate (55/3)/(-11 + ((-8)/80 - (-3553)/330)).
-55
What is the value of 8/100 + (-6*22/45)/((-170)/(-5916))?
-102
2*(-4 + -1 - 132/110)/2
-31/5
What is ((-4)/(-242))/(3523/348777)?
18/11
4/(-9)*4305/(-140) + (-64 - -50)
-1/3
Evaluate ((-12)/(-16))/((-22)/((-2992)/3)).
34
What is the value of (30328/25422)/(6/(-57))?
-34/3
What is the value of 1382/154 - (-8398)/323323 - (-52)/(-10)?
19/5
-1*((-378)/168)/((-9)/36)
-9
Evaluate ((-1026)/(-14364) + 10/(-42))*(0 - (-12)/(-22)).
1/11
((-2)/(-6*20))/((-31)/(5425/70))
-1/24
Evaluate (4698/45)/(-9) - (1/(-5))/((-63)/756).
-14
Evaluate ((-74953)/(-11084) - (92/16 - (6 - 1))) + -6.
2/163
Calculate -27 - ((-5)/(-2) - (-115)/46).
-32
Evaluate ((-7452)/1104)/((-63)/(-28)) + (-514)/(-128) + -1.
1/64
What is ((-621)/483)/(24/520) + (-1)/7?
-28
What is -70*((-18984)/(-560) - 34)?
7
(-9)/6 - (8/(3696/(-783)) - (-18)/63)
-1/11
Calculate (-13626)/2064 + (-159)/424 - (-7)/1.
1/43
What is (-2)/3*60*(-13)/416*-4?
-5
What is (-4473)/(-639) - (((-3114)/44)/(-9) - 1)?
3/22
What is the value of (-8)/(-14) + (-760 + 795 - (-19008)/(-532))?
-3/19
What is the value of 16*(36 - 9548/264) + 167/3?
53
What is 64/2 - 92*(-154)/(-1771)?
24
What is (104052/(-58))/46 + 12?
-27
Evaluate 1/(92/(-30))*(7052/410 - 18).
6/23
What is (11*64459/(-833514) + -1 + (-11)/(-6))/3?
-1/173
(-61)/((-1708)/(-1120)) + -85*(-2)/10
-23
(-50 + (-2 + 3 - -1))/(16838/16838)
-48
What is ((-540)/(-5940))/((-1 - 0)*2/2)?
-1/11
(4518/154365)/((-6)/10)
-2/41
What is the value of (-1 - 0) + (20816/(-4644))/(-4) - (-20)/(-270)?
2/43
Evaluate (-1582564)/2516*2/(-74).
17
Calculate (0 - 1 - (-186)/171)*45726/38105.
2/19
What is 413400/(-22260)*14/(-10)?
26
(296/(-6))/((204*140/10710)/((-2)/1))
37
What is the value of ((11/(1925/20))/(22/15))/((-512)/(-1792))?
3/11
Evaluate 16 - 10*(-975)/(-500).
-7/2
18 - (277500/(-325))/(-50)
12/13
What is the value of (9/(-15) - 0)/(66/(-2750))?
25
Calculate (-100)/(-64)*(-18512)/(-5785).
5
Calculate 659/(-3954) + 4 + (-14)/12.
8/3
Evaluate (945000/1035)/40 + -23.
-4/23
Calculate ((-84)/(-92)*23)/3.
7
Calculate (1/11)/(144*(-191)/(-16942464)).
56
What is the value of ((-15)/21)/(381/(-762))?
10/7
Evaluate (-2050)/(-205) - 5/(-15)*-35.
-5/3
Evaluate (873/1261)/((-14)/(-182)).
9
What is ((-14040)/(-4896))/(-195)*(0 + 16/(-14))?
2/119
(-71 + (10 - -53))*2/1
-16
(337/674)/(-8 + (-7740)/(-968))
-121
What is the value of 1775/1125 + ((-260)/(-36) - 7)?
9/5
What is 132/16 - (12 + (-918)/72)?
9
What is 86436/(-10290)*(6 - 1)?
-42
Evaluate (-273)/(-240) + (-83)/(-1328) + 86/20.
11/2
What is the value of (-2)/95 - (-99)/(300960/27424)?
9
What is 72/40 + 1265*(-22)/(-275)?
103
Evaluate 7636/897*((-3)/4)/(-1) + -6.
5/13
What is the value of 10/4*((-18)/143 + 12/(-66))?
-10/13
What is the value of (8/15 - 1) + ((-21)/72)/((-2499)/2856)?
-2/15
What is the value of 2880/10800 - 3808/(-120)?
32
(15 - -1) + -1 + (822330/(-9450) - (-2)/105)
-72
Evaluate (-2 - 42) + 64935/1480.
-1/8
Calculate 1*5 + (600 - 546)/((-2 + 3)*-2).
-22
Evaluate 80/56 + 336648/(-4648).
-71
(-1755)/99 + 14/770*-15
-18
(-120)/(-3) - 31*(-3654)/1798
103
Evaluate 118904/(-209684) + 4/(-62).
-12/19
Calculate ((-90)/(-4))/((-561429)/45368).
-20/11
What is the value of 1448/1086 + ((-24)/270)/((-4)/(-102))?
-14/15
Calculate (231/2156)/(27/(-96))*2*9/(-6).
8/7
30 - (-90)/60*(-288)/(-27)
46
Calculate 3333/14443 + (-349)/1625.
2/125
1/(-5) - 264/30 - (14 - (-1207)/(-51))
2/3
-100*(-17908)/78650 + -23 + 0
-3/13
What is the value of ((-48)/(-3087))/((-17344)/(-15176))?
2/147
What is the value of 6069/1734*(3 + 3)/(((-105)/(-4))/(-5))?
-4
21516/(-825) + 19 + 1/1 - -6
-2/25
Calculate (-38 - 183739/(-4902)) + 16/32.
-1/57
What is (2 - 11 - (107 + -125)) + 668/(-74)?
-1/37
Evaluate 370/(-444)*(-15)/25*((-35)/(-40) - 1).
-1/16
What is the value of (-22 + 2)*(34 + 9855/(-292))?
-5
What is the value of (127 - 119025/900)/(14/(-16))?
6
What is the value of 0/((-114)/(-133) + 6/18 + (-67)/21)?
0
7781 + -7694 + 1*-60
27
What is (954/30 - 1)/(100/75*-6 - -6)?
-77/5
Calculate -8 + (-3)/360*-1130 + -1.
5/12
((-6013)/5154*(-8)/(-14))/((-8)/6)*26
13
Calculate -11*4509/(-27027) - (-297)/(-429).
8/7
Calculate (22 - 8)/((-22386)/(-492)).
4/13
Calculate 23 + (-476)/(-17)*(-18)/(-21).
47
What is 23/(2392/2808) + 0 + -9?
18
Calculate ((-3)/6 + 3)/((-5634)/23788) + 9.
-14/9
What is (-156)/240 - 10/(-25) - ((-98)/56 + 4)?
-5/2
Evaluate (88/((-7920)/(-675)))/((-9)/42) - -3.
-32
What is the value of 7 + ((-1491)/(-9))/(-7) + (131 - 130)?
-47/3
What is the value of (16/(-150))/((-60196)/(-447) - 134)?
-4/25
Evaluate (1380/(-90))/((-104)/(-156)).
-23
(23 - (-700)/(-28))*(-8)/(-48)*3*-25
25
What is (-60)/35*(-40)/(-60) + 888/42?
20
((-2)/(-4)*((-2975)/70 - -39))/(1 + -2)
7/4
Calculate (-5)/174*(-680)/(-238) + 500/(-84) + 6.
-1/29
What is the value of ((-2752)/9632)/((-2)/(-56))?
-8
(-3906)/105*(25/(-20) - 0)*20/15
62
What is the value of (348/(-819) - (-458)/4809)/(5/(-42))?
36/13
What is (-26)/(-1482) - (-657)/21033?
2/41
Evaluate (-90)/2*(-147536)/(-92210).
-72
(-3450)/(-9108)*(-72)/(-120)
5/22
Evaluate 27 + 52/2496 + 65859/(-2448).
2/17
Evaluate (-46)/(-161) - (-25)/(69300/(-708)).
1/33
What is the value of ((-2)/8)/((-999)/228) - 57/(-12825)*-25?
-2/37
What is the value of 96/(-1008)*(-13 - 8)*(-2)/32?
-1/8
29/(261/6) + 34/(-114)
7/19
Evaluate (-1358)/1386 - (20 + (-1128)/54).
-1/11
Evaluate (-1038)/(-10) - (-1244754)/49395.
129
What is the value of 526*20/(-1160) - ((-10704)/1200 + 4/(-50))?
-2/29
What is 13/(5070/(-1079)) - (-31) | {
"pile_set_name": "DM Mathematics"
} |
806?
2, 3806903
List the prime factors of 2071772.
2, 157, 3299
List the prime factors of 2315308.
2, 578827
List the prime factors of 1316270.
2, 5, 131627
What are the prime factors of 1140636?
2, 3, 7, 37, 367
List the prime factors of 3818915.
5, 53, 14411
List the prime factors of 695900.
2, 5, 6959
What are the prime factors of 1281712?
2, 80107
List the prime factors of 2130255.
3, 5, 47339
What are the prime factors of 1708793?
61, 109, 257
What are the prime factors of 13242871?
23, 575777
List the prime factors of 155121.
3, 29, 1783
What are the prime factors of 2327869?
2327869
List the prime factors of 1427268.
2, 3, 83, 1433
What are the prime factors of 257430?
2, 3, 5, 8581
What are the prime factors of 667170?
2, 3, 5, 7, 353
What are the prime factors of 2392493?
149, 16057
List the prime factors of 5428960.
2, 5, 33931
List the prime factors of 16681286.
2, 31, 113, 2381
List the prime factors of 39717.
3, 1471
List the prime factors of 65726.
2, 59, 557
What are the prime factors of 192554?
2, 43, 2239
What are the prime factors of 224203?
7, 32029
What are the prime factors of 759537?
3, 9377
What are the prime factors of 41147356?
2, 10286839
What are the prime factors of 166690?
2, 5, 79, 211
List the prime factors of 596122.
2, 17, 89, 197
List the prime factors of 14309514.
2, 3, 264991
What are the prime factors of 259645?
5, 51929
List the prime factors of 3440787.
3, 7, 163847
List the prime factors of 13709094.
2, 3, 7, 103, 3169
What are the prime factors of 380827?
229, 1663
What are the prime factors of 500339?
7, 10211
List the prime factors of 2632844.
2, 658211
What are the prime factors of 2694693?
3, 898231
What are the prime factors of 1571495?
5, 314299
List the prime factors of 3107778.
2, 3, 37, 13999
What are the prime factors of 6577880?
2, 5, 164447
List the prime factors of 1663003.
1031, 1613
List the prime factors of 19355.
5, 7, 79
List the prime factors of 7502523.
3, 7, 357263
What are the prime factors of 2982020?
2, 5, 149101
List the prime factors of 21404.
2, 5351
List the prime factors of 568095.
3, 5, 11, 313
List the prime factors of 515915.
5, 103183
List the prime factors of 1638478.
2, 819239
List the prime factors of 256616.
2, 32077
What are the prime factors of 6953054?
2, 1669, 2083
What are the prime factors of 12181085?
5, 7, 348031
What are the prime factors of 406951?
406951
What are the prime factors of 8175687?
3, 13, 41, 5113
List the prime factors of 691826.
2, 37, 9349
List the prime factors of 18121052.
2, 4530263
What are the prime factors of 511058?
2, 59, 61, 71
List the prime factors of 432085.
5, 103, 839
List the prime factors of 961936.
2, 59, 1019
What are the prime factors of 5897189?
71, 83059
What are the prime factors of 18366534?
2, 3, 340121
What are the prime factors of 198658?
2, 71, 1399
List the prime factors of 684638.
2, 342319
What are the prime factors of 1522601?
1522601
What are the prime factors of 227406?
2, 3, 151, 251
List the prime factors of 1723126.
2, 861563
What are the prime factors of 2365396?
2, 11, 53759
What are the prime factors of 857562?
2, 3, 47, 3041
What are the prime factors of 126355?
5, 37, 683
List the prime factors of 10602639.
3, 43, 27397
List the prime factors of 1090668.
2, 3, 97, 937
What are the prime factors of 7841734?
2, 3920867
List the prime factors of 285480.
2, 3, 5, 13, 61
What are the prime factors of 548104?
2, 131, 523
What are the prime factors of 890971?
31, 41, 701
List the prime factors of 123568.
2, 7723
List the prime factors of 941734.
2, 470867
What are the prime factors of 10600292?
2, 2650073
List the prime factors of 14689306.
2, 7344653
List the prime factors of 1320429.
3, 11, 40013
What are the prime factors of 56403?
3, 2089
List the prime factors of 1558336.
2, 13, 1873
List the prime factors of 2463015.
3, 5, 164201
What are the prime factors of 3595678?
2, 1797839
What are the prime factors of 15289?
15289
List the prime factors of 1887037.
37, 51001
What are the prime factors of 177221?
11, 16111
List the prime factors of 2885830.
2, 5, 288583
What are the prime factors of 30692558?
2, 13, 73, 103, 157
List the prime factors of 555108.
2, 3, 167, 277
List the prime factors of 214684.
2, 191, 281
What are the prime factors of 103213?
11, 853
List the prime factors of 306320.
2, 5, 7, 547
What are the prime factors of 794812?
2, 43, 4621
List the prime factors of 428694.
2, 3, 7, 59, 173
What are the prime factors of 1156574?
2, 463, 1249
List the prime factors of 4250011.
67, 229, 277
List the prime factors of 113544.
2, 3, 19, 83
What are the prime factors of 2966131?
7, 491, 863
List the prime factors of 1125110.
2, 5, 7, 16073
List the prime factors of 546654.
2, 3, 31, 2939
List the prime factors of 512483.
67, 7649
List the prime factors of 6659068.
2, 13, 79, 1621
List the prime factors of 7753279.
83, 109, 857
List the prime factors of 6833905.
5, 13, 105137
List the prime factors of 9011072.
2, 7, 89, 113
List the prime factors of 298294.
2, 29, 37, 139
List the prime factors of 76568.
2, 17, 563
What are the prime factors of 3047484?
2, 3, 11, 23087
What are the prime factors of 5496838?
2, 47, 58477
What are the prime factors of 488019?
3, 7, 17, 1367
List the prime factors of 1378566.
2, 3, 7, 521
List the prime factors of 13264514.
2, 23, 288359
What are the prime factors of 5160934?
2, 2580467
List the prime factors of 14281164.
2, 3, 132233
List the prime factors of 1594407.
3, 107, 4967
List the prime factors of 39214125.
3, 5, 1291
What are the prime factors of 6512307?
3, 19, 43, 2657
What are the prime factors of 819208?
2, 13, 7877
What are the prime factors of 59661?
3, 7, 947
What are the prime factors of 8294808?
2, 3, 37, 9341
What are the prime factors of 755737?
755737
What are the prime factors of 1073617?
23, 46679
List the prime factors of 204972.
2, 3, 19, 29, 31
List the prime factors of 178885.
5, 7, 19, 269
What are the prime factors of 277032?
2, 3, 7, 17, 97
List the prime factors of 606177.
3, 11, 13, 157
List the prime factors of 521360.
2, 5, 7, 19
What are the prime factors of 6487714?
2, 509, 6373
List the prime factors of 5813671.
461, 12611
What are the prime factors of 12736147?
2801, 4547
What are the prime factors of 135815?
5, 23, 1181
List the prime factors of 8231420.
2, 5, 97, 4243
List the prime factors of 759053.
759053
List the prime factors of 45823.
45823
What are the prime factors of 4824412?
2, 139, 8677
What are the prime factors of 2085?
3, 5, 139
List the prime factors of 10385356.
2, 2596339
What are the prime factors of 47080?
2, 5, 11, 107
List the prime factors of 1559125.
5, 12473
What are the prime factors of 461390?
2, 5, 29, 37, 43
What are the prime factors of 26093125?
5, 83, 503
List the prime factors of 5151169.
5151169
List the prime factors of 2532716.
2, 401, 1579
List the prime factors of 39181.
39181
List the prime factors of 1178015.
5, 17, 13859
List the prime factors of 1582005.
3, 5, 105467
What are the prime factors of 34646?
2, 17, 1019
What are the prime factors of 197766?
2, 3, 10987
What are the prime factors of 10483079?
19, 71, 409
What are the prime factors of 6109318?
2, 239, 12781
What are the prime factors of 1856423?
241, 7703
List the prime factors of 415380.
2, 3, 5, 7, 23, 43
List the prime factors of 48498.
2, 3, 59, 137
What are the prime factors of 167678?
2, 7, 29, 59
List the prime factors of 12468759.
3, 113, 36781
What are the prime factors of 738076?
2, 37, 4987
What are the prime factors of 2587685?
5, 673, 769
What are the prime factors of 241187?
43, 71, 79
What are the prime factors of 615885?
3, 5, 19, 2161
What are the prime factors of 734610?
2, 3, 5, 47, 521
List the prime factors of 12707982.
2, 3, 7, 33619
What are the prime factors of 1323077?
7, 189011
List the prime factors of 65608.
2, 59, 139
What are the prime factors of 2299180?
2, 5, 13, 37, 239
What are the prime factors of 1096853?
1096853
What are the prime factors of 7477760?
2, 5, 23, 127
List the prime factors of 69218.
2, 53, 653
List the prime factors of 306857.
306857
What are the prime factors of 6720996?
2, 3, 560083
What are the prime factors of 6541259?
223, 29333
List the prime factors of 1933495.
5, 1 | {
"pile_set_name": "DM Mathematics"
} |
-3/4*n + t*n**2 + 1/2.
(n - 2)*(n - 1)/4
Let u(z) = -8*z**3 - 23*z**2 + 52*z - 36. Let m(i) = 15*i**3 + 45*i**2 - 105*i + 70. Let o be 2/(-13) + (-296)/104. Let l(k) = o*m(k) - 5*u(k). Factor l(t).
-5*(t - 1)**2*(t + 6)
Let 2*i**3 + 5504/3 + 12392/3*i**2 + 49544/9*i = 0. Calculate i.
-2064, -2/3
Let b be (-11)/(-2) - (-793)/122. Let w(j) = 20*j - 237. Let o be w(b). Find f, given that 0 - f**2 + 0*f - 7/2*f**o = 0.
-2/7, 0
Let t(l) be the second derivative of 2*l**7/105 + 8*l**6/75 - 3*l**5/25 - 6*l**4/5 - 2*l - 16. Find c, given that t(c) = 0.
-3, 0, 2
Let f be (357/(-6545))/(14/(-770)). What is k in 10/19*k + 0 + 2/19*k**f + 12/19*k**2 = 0?
-5, -1, 0
Let r(i) be the second derivative of -441*i**6/10 - 1017*i**5/20 + 475*i**4/2 - 146*i**3 - 60*i**2 + i - 682. Solve r(z) = 0.
-2, -5/49, 2/3
Let m(i) be the first derivative of -i**5/40 - 17*i**4 - 9248*i**3/3 - 8316. Factor m(s).
-s**2*(s + 272)**2/8
Suppose 44*a = 56*a - 36. Let q be (-205)/123*a/(-15). Solve -2/3 - q*k + 1/3*k**3 + 2/3*k**2 = 0.
-2, -1, 1
Let k(g) be the first derivative of g**7/525 - 2*g**6/75 - 17*g**2 - 2*g - 187. Let u(z) be the second derivative of k(z). Let u(l) = 0. Calculate l.
0, 8
Let h = 398 + -393. Suppose 224*c + 12 = 228*c - 4*t, -7 = -c + h*t. Determine d so that -5/8*d**c + d + 1/8*d**3 - 1/2 = 0.
1, 2
Solve 6016*h**2 - 476 - 1649 + 2120*h - 12016*h**2 + 6005*h**2 = 0.
-425, 1
Let n(m) be the third derivative of m**6/420 + 113*m**5/70 - 3*m**2 - 106. Let n(s) = 0. What is s?
-339, 0
Let n(q) be the first derivative of -5*q**3/3 + 335*q**2/2 - 1830*q - 6209. Factor n(r).
-5*(r - 61)*(r - 6)
Let h(i) = 5*i**2 - 5. Let b(x) = -23 - 28 + x - 23 + 53 + 22*x**2. Let q(p) = -4*b(p) + 18*h(p). Suppose q(c) = 0. What is c?
-1, 3
Let g(l) = 23*l + 1679. Let m be g(-73). Let x(i) be the second derivative of 1/48*i**4 + 0*i**3 + 0*i**2 + m - 11*i + 1/120*i**6 - 1/40*i**5. Factor x(f).
f**2*(f - 1)**2/4
Let s be ((-65)/(-26))/(11/4466). Let d = 1018 - s. Let 0*f + 0 + 2/3*f**5 - 2/3*f**d + 2/3*f**2 - 2/3*f**4 = 0. What is f?
-1, 0, 1
Find p, given that 1248*p**2 + 206043*p + 958*p**3 - 59858 + 10812*p**2 - 783*p**3 = 0.
-173/5, 2/7
Solve 34*h - 119*h - 139*h - 44*h**2 + 160*h**2 - 4*h**3 - 32*h**2 + 144 = 0 for h.
1, 2, 18
Let k = -53 - -80. Let a be (-6)/3 - (4 - 3)*-6. Suppose 4*s**2 - k*s + 11*s**3 + 25*s - 36*s**a + 23*s**5 - 5*s**5 + 5*s**3 = 0. Calculate s.
-1/3, 0, 1/3, 1
Suppose 0 = 5*q - 10 - 0. Suppose -z - 4 = -2*w, q*z = -3*w - 2*z + 6. Factor -w*b - 6*b + 31*b**2 - 35*b**2.
-4*b*(b + 2)
Let g(k) be the third derivative of -2*k**2 + 0*k + 0*k**3 + 1/315*k**7 + 0*k**4 + 0*k**5 + 3 + 1/45*k**6. Let g(n) = 0. What is n?
-4, 0
Let a(p) be the second derivative of -p**4/21 - 340*p**3/7 - 130050*p**2/7 + p - 299. Let a(b) = 0. Calculate b.
-255
Let m(c) be the third derivative of -c**6/24 - c**5/3 + 55*c**4/24 + 25*c**3 + 6738*c**2. Suppose m(o) = 0. What is o?
-5, -2, 3
Let a(g) be the third derivative of g**5/30 - 83*g**4/12 + 322*g**3 - 2368*g**2 - 2. Let a(o) = 0. Calculate o.
14, 69
Let f be 924/126 + 7*(-2 - -1). Let l be (1/(-6))/(-1) + 0. Find c, given that -f*c + 0 + l*c**2 = 0.
0, 2
Let z(j) = -156*j**2 - 142*j + 5. Let u(d) = 310*d**2 + 285*d - 10. Let v(k) = 3*u(k) + 5*z(k). Determine a so that v(a) = 0.
-1, 1/30
Suppose 0 = i, -3*d = -2*d + 5*i. Suppose d = -l + 17 - 11. Determine n so that -20*n**2 + l*n - 22*n + 13*n**3 - 17*n**3 = 0.
-4, -1, 0
Suppose -154*o**4 + 4974*o**2 + 84*o**4 - 373*o**4 + 4512*o - 76*o**4 + 412*o**5 - 1440 - 496*o**5 + 207*o**3 = 0. Calculate o.
-4, -10/7, 1/4, 3
Solve -1/2*k**4 + 0 + 1/2*k**2 - 1/4*k**5 - 6*k + 25/4*k**3 = 0 for k.
-6, -1, 0, 1, 4
Let r(s) = 6*s - 21 + 7*s + 22*s - 11*s. Let n(o) = -o**2 + 25*o - 20. Let k(w) = -3*n(w) + 4*r(w). Solve k(h) = 0.
-8, 1
Solve -17/5*g**2 + 1/5*g**3 + 0 - 168/5*g = 0 for g.
-7, 0, 24
Let n be (-234 - -216) + (-289)/(-16). Let k(b) be the first derivative of 42 - 9/4*b - 3/8*b**2 + 5/12*b**3 - n*b**4. Factor k(y).
-(y - 3)**2*(y + 1)/4
Suppose 5*k + 2*n = 2, 3*k + 0 = -n + 2. Suppose 3*c - 60 = -3*h, -5*h = 2*c - 17 - 74. Factor -h - 5*l**2 + 5 - 2*l + 7*l**k.
2*(l - 3)*(l + 2)
Let g(n) be the third derivative of n**6/360 + 5*n**5/18 + 47*n**4/18 + 92*n**3/9 - 5*n**2 - 53*n. Factor g(w).
(w + 2)**2*(w + 46)/3
Let t = -2207 - -15506/7. Let f = t - 54/7. Factor 0 - 3/7*n**2 + f*n.
-3*n*(n - 1)/7
Let c(h) be the first derivative of -h**4/66 + h**3/3 - 10*h**2/11 + 122*h - 20. Let b(l) be the first derivative of c(l). Factor b(j).
-2*(j - 10)*(j - 1)/11
Let 568/5*t + 0 + 1708/5*t**2 + 12/5*t**3 = 0. Calculate t.
-142, -1/3, 0
Factor 598*w - 3*w**2 + 0*w**2 - 8*w**2 + 441 + 9*w**2 + 159.
-2*(w - 300)*(w + 1)
Suppose 0 = 216*b - 215*b - 2. Let c(j) = -j**3. Let v(y) = -27*y**3 + 200*y**2 + 103*y + 13. Let u(r) = b*v(r) - 22*c(r). Factor u(a).
-2*(a - 13)*(4*a + 1)**2
Let j = 43 + -28. Factor -25*t**5 + 2*t**3 + 10*t**4 + t**3 - j*t**3 + 23*t**5.
-2*t**3*(t - 3)*(t - 2)
Let q(h) = -h**3 - 10*h**2 - 2*h - 2. Let l be q(-10). Let d(a) = 5*a**2 + 41*a + 9. Let x(f) = f**2 + 10*f + 2. Let j(k) = l*x(k) - 4*d(k). Factor j(s).
-2*s*(s - 8)
Let m(f) be the first derivative of 3*f**4/16 + 51*f**3/4 - 60*f**2 + 81*f - 1165. Factor m(y).
3*(y - 2)*(y - 1)*(y + 54)/4
Let b(o) be the second derivative of 0*o**3 + 0 + 0*o**2 + 47*o - 1/6*o**5 + 7/9*o**4. Solve b(r) = 0 for r.
0, 14/5
Let j = 5456 + -2946239/540. Let l(b) be the third derivative of 1/54*b**4 + 1/90*b**5 + 0 + 0*b**3 + 0*b - 10*b**2 + j*b**6. Factor l(u).
2*u*(u + 1)*(u + 2)/9
Factor 2*u + 10/3*u**3 - 28/3*u**2 + 15 - 1/3*u**4.
-(u - 5)*(u - 3)**2*(u + 1)/3
Let p(u) = -2*u + 28. Let i be 4 + 8 - (1 - (-6)/(-3)). Let h be p(i). Determine r so that -5*r + 2*r - 5*r - r**2 + 5*r**h = 0.
0, 2
Let q(o) be the third derivative of -o**7/315 + 43*o**6/5 - 49923*o**5/5 + 6440067*o**4 - 2492305929*o**3 - 997*o**2. Factor q(r).
-2*(r - 387)**4/3
Let w(z) = -3*z - 34. Let o be w(-12). Suppose -h = 5*q - 13, 0*q + o*h = 3*q. Factor -u**q - 7*u + 6*u**2 - 2*u + 4*u.
5*u*(u - 1)
Let a(y) be the second derivative of -y**5/100 + 19*y**4/15 + 31*y**3/6 + 39*y**2/5 + 2283*y. Factor a(u).
-(u - 78)*(u + 1)**2/5
Suppose 5 - 33 = -14*u. Suppose -8 - 4*k + 0*k + 0*k + 2*k**u - 2*k = 0. What is k?
-1, 4
Let r = -62 - -67. Let d be 5 - 0/(-2 + r). Let d*a - 15*a**5 - 27*a - 6*a**4 + 6*a**2 + 24*a**3 + 13*a = 0. Calculate a.
-1, 0, 3/5, 1
Let m(i) be the first derivative of -5*i**6/6 - 43*i**5 - 370*i**4 - 2800*i**3/3 + 3898. Let m(d) = 0. Calculate d.
-35, -4, 0
Let j(o) = 4*o**4 + 46*o**3 + 258*o**2 + 70*o - 336. Let c(m) = m**3 - m**2 + m - 4. Let s(k) = -14*c(k) - j(k). Determine u so that s(u) = 0.
-7, -2, 1
Let i(m) be the second derivative of m**7/210 + 7*m**6/150 - 3*m**5/50 - 17*m**4/30 + 53*m**3/30 - 21*m**2/10 + 895*m + 2. Factor i(x).
(x - 1)**3*(x + 3)*(x + 7)/5
Let i(j) be the third derivative of 1/1680*j**8 - 1/60*j**4 + 0 + 1/100*j**5 + 1/600*j**6 + 0*j + 0*j**3 + 162*j**2 - 1/350*j**7. Let i(q) = 0. What is q?
-1, 0, 1, 2
Let a(v) be the second derivative of -v**6/660 - 2*v**5/165 - v**4/33 + 75*v**2/2 - 11*v - 1. Let l(z) be the first derivative of a(z). Factor l(p).
-2*p*(p + 2)**2/11
Suppose 41*m = 62*m - 11298. Let x = m - 1067/2. Determine v, given that -3 - x*v - 3/2*v**2 = 0.
-2, -1
Let y be ((-17 - 3) + -3)*(-3 + 0). Let 0 - 8*a + 4 - y*a**2 + 73*a**2 = 0. Calculate a.
1
Let f be (4 - -6)/5 + 8. Suppose -5*p - 4*k + 18 = 0, -p = 5*k - f - 2. Factor t**2 + 0*t**2 - 16*t**4 + 7*t**p + 4*t**3 - 6*t**5 - 6*t**5.
-4*t**2*(t + 1)**2*(3*t - 2)
Find u such that 125*u - 45*u**3 + 303*u + 22*u + 10*u**4 + 280 + 2346*u**2 - 2591*u**2 = 0.
-4, -1/2, 2, 7
Let q(p) be the second derivative of -p**4/4 + 49*p**3/2 + 588*p**2 + 3461*p. Suppose q(x) = 0. What is x?
-7, 56
Let f be 126/(-27)*12/(-14). Suppose f*p + 2 = -3*v, -3*v + 5 = -3*p - 7. Factor 16*b + 4*b**2 + 46 - 14 - 2*b**v.
2*(b + 4)**2
Let m(d) be the second derivative of d**8/448 - d**6/160 - 123*d**2/2 - 5*d - 4. Let u(o) be the first derivative of m(o). Factor u(r).
3*r**3*(r - 1)*(r + 1)/4
Let v(l) = 8055*l + 32220. Let j be v(-4). Let -4/9*m**4 + 0*m + 2/9*m**5 + j*m**3 + 0 + 0*m**2 = 0. What is m?
0, 2
Let y(f) be the first derivative of -f**4/14 - 54*f**3/7 + f**2/7 + 162*f/7 - 623. | {
"pile_set_name": "DM Mathematics"
} |
*g**3/9 + 20*g**2/3.
-4*g**2*(g - 15)/9
Determine k so that -k**5/6 - 10*k**4/3 - 47*k**3/2 - 203*k**2/3 - 196*k/3 = 0.
-7, -4, -2, 0
Factor -l**2/2 + 161*l/2.
-l*(l - 161)/2
Factor -2*g**4 - 84*g**3 - 576*g**2 - 1088*g.
-2*g*(g + 4)**2*(g + 34)
Solve -2*d**4/3 - 106*d**3/3 + 276*d**2 - 240*d = 0.
-60, 0, 1, 6
Factor 392*u**4 - 616*u**3 - 1158*u**2 + 1100*u + 1250.
2*(u + 1)**2*(14*u - 25)**2
Factor 3*l**4 + 765*l**3 + 759*l**2 - 765*l - 762.
3*(l - 1)*(l + 1)**2*(l + 254)
Solve 3*l**4 + 21*l**3 - 2361*l**2 + 6891*l - 4554 = 0.
-33, 1, 2, 23
Suppose 3*l**4/4 + 9*l**3/2 - 6*l**2 - 9*l/2 + 21/4 = 0. Calculate l.
-7, -1, 1
Factor -2*b**2 - 104*b - 102.
-2*(b + 1)*(b + 51)
Let -f**3 + 8*f**2 - 16*f = 0. What is f?
0, 4
Let -2*n**2/3 - 22*n + 68/3 = 0. Calculate n.
-34, 1
Factor 4*b**4 - 8*b**3 - 76*b**2 + 80*b.
4*b*(b - 5)*(b - 1)*(b + 4)
Determine d so that -2*d**3 + 482*d**2 = 0.
0, 241
What is b in 4*b**3/5 - 8*b**2/5 - 76*b/5 + 16 = 0?
-4, 1, 5
Suppose -x**5/3 + 52*x**4/3 + 36*x**3 + 2*x**2/3 - 107*x/3 - 18 = 0. What is x?
-1, 1, 54
Factor 2*v**5 - 6*v**4 + 2*v**3 + 6*v**2 - 4*v.
2*v*(v - 2)*(v - 1)**2*(v + 1)
Factor -12*h**4 - 80*h**3 - 192*h**2 - 192*h - 64.
-4*(h + 2)**3*(3*h + 2)
Factor -2*s**4/9 + 62*s**3/3 - 480*s**2.
-2*s**2*(s - 48)*(s - 45)/9
Factor -s**3/2 + 5*s**2/2 + 7*s.
-s*(s - 7)*(s + 2)/2
Find t such that -28*t**5 + 316*t**4 - 60*t**3 - 316*t**2 + 88*t = 0.
-1, 0, 2/7, 1, 11
Suppose -15*q**2/2 + 51*q + 21/2 = 0. Calculate q.
-1/5, 7
Solve 4*z**4 + 32*z**3 + 96*z**2 + 128*z + 64 = 0 for z.
-2
Let -138*m**4 - 694*m**3 - 20*m**2 = 0. What is m?
-5, -2/69, 0
Let -10*x**4/13 - 64*x**3/13 - 14*x**2/13 + 64*x/13 + 24/13 = 0. What is x?
-6, -1, -2/5, 1
Factor -3*u**3/5 + 78*u**2/5 + 3*u/5 - 78/5.
-3*(u - 26)*(u - 1)*(u + 1)/5
Let -2*n**3/3 + 8*n**2 - 70*n/3 = 0. Calculate n.
0, 5, 7
Let 2*p**3/9 + 238*p**2/9 + 2320*p/3 - 800 = 0. What is p?
-60, 1
Factor 2*w**3/3 + 14*w**2/3 + 32*w/3 + 8.
2*(w + 2)**2*(w + 3)/3
Let f**5 + 2*f**4 - 5*f**3 - 6*f**2 = 0. What is f?
-3, -1, 0, 2
Find k such that -3*k**5 - 3*k**4 + 9*k**3 + 15*k**2 + 6*k = 0.
-1, 0, 2
What is b in -b**2 - 2370*b = 0?
-2370, 0
Factor -5*f**3 + 775*f**2 + 2360*f + 1580.
-5*(f - 158)*(f + 1)*(f + 2)
Factor 4*f**3 - 3457*f**2/2 + 186840*f - 23328.
(f - 216)**2*(8*f - 1)/2
Factor 3*x**2 - 237*x.
3*x*(x - 79)
Factor -2*t**3 - 106*t**2 - 468*t + 576.
-2*(t - 1)*(t + 6)*(t + 48)
Find j such that -j**3/12 - 143*j**2/12 - 35*j = 0.
-140, -3, 0
Suppose z**5/6 - 11*z**4/3 - 58*z**3 - 87*z**2 + 297*z/2 = 0. What is z?
-9, -3, 0, 1, 33
Solve d**3/7 + 11*d**2 - 489*d/7 + 747/7 = 0 for d.
-83, 3
Determine d so that 3*d**2/2 + 379*d - 253/2 = 0.
-253, 1/3
Let -3*m**2 - 1620*m = 0. What is m?
-540, 0
Factor 2*r**3/19 + 2*r**2/19 - 4*r/19.
2*r*(r - 1)*(r + 2)/19
Factor 3*k**3 - 81*k**2 - 5844*k - 5760.
3*(k - 60)*(k + 1)*(k + 32)
Factor t**3/3 - t**2/3 - 16*t/3 + 16/3.
(t - 4)*(t - 1)*(t + 4)/3
Solve 2*z**4/13 - 180*z**3/13 - 366*z**2/13 - 184*z/13 = 0 for z.
-1, 0, 92
What is q in 4*q**2/5 + 4*q/5 - 8/5 = 0?
-2, 1
Factor 5*n**2 - 670*n + 1320.
5*(n - 132)*(n - 2)
Find i such that 51*i**3/4 + 15*i**2/2 - 783*i/4 + 351/2 = 0.
-78/17, 1, 3
Factor 2*g**3/7 - 24*g/7 + 32/7.
2*(g - 2)**2*(g + 4)/7
Find g such that -175*g**5 + 1345*g**4 - 3485*g**3 + 3515*g**2 - 1380*g + 180 = 0.
2/7, 2/5, 1, 3
Find d, given that -d**4/2 + 15*d**3/2 + d**2/2 - 15*d/2 = 0.
-1, 0, 1, 15
Determine l, given that -l**2/5 + 5538*l/5 - 7667361/5 = 0.
2769
Factor 3*g**5 - 15*g**4 + 6*g**3 + 24*g**2.
3*g**2*(g - 4)*(g - 2)*(g + 1)
Suppose -h**5/4 + 49*h**4/4 - 12*h**3 = 0. What is h?
0, 1, 48
Solve 2*p**2/7 + 4*p/7 + 2/7 = 0.
-1
What is v in v**2 + 46*v + 529 = 0?
-23
Find n such that n**5/3 - 12*n**4 - n**3/3 + 12*n**2 = 0.
-1, 0, 1, 36
Find k such that -4*k**2/3 - 28*k - 440/3 = 0.
-11, -10
What is i in i**2 - 305*i/2 - 153/2 = 0?
-1/2, 153
Solve -2*u**5/3 + 170*u**4/3 - 1534*u**3 + 40390*u**2/3 - 63700*u/3 = 0.
0, 2, 13, 35
Let -3*p**5 + 51*p**4 - 126*p**3 - 780*p**2 - 600*p = 0. Calculate p.
-2, -1, 0, 10
Factor m**5/2 - 8*m**4 + 39*m**3 - 56*m**2 + 49*m/2.
m*(m - 7)**2*(m - 1)**2/2
Solve -97*w**2/9 + 2*w/9 = 0.
0, 2/97
Determine c, given that -24*c**5/5 + 30*c**4 - 177*c**3/5 - 378*c**2/5 + 567*c/5 + 162/5 = 0.
-3/2, -1/4, 2, 3
Factor -5*g**3 - 525*g**2 - 15840*g - 103680.
-5*(g + 9)*(g + 48)**2
What is x in x**4/4 - 3*x**3 - 3*x**2/4 + 19*x/2 - 6 = 0?
-2, 1, 12
Solve 2*p**2/3 + 34*p/3 - 12 = 0.
-18, 1
Suppose -25*u**4 - 115*u**3 + 75*u**2 + 115*u - 50 = 0. Calculate u.
-5, -1, 2/5, 1
Solve 28*d**5 + 60*d**4 - 188*d**3 - 252*d**2 + 304*d + 48 = 0.
-3, -2, -1/7, 1, 2
Factor -3*t**2 + 27*t + 660.
-3*(t - 20)*(t + 11)
Factor 2*f**3 - 66*f**2 + 510*f + 578.
2*(f - 17)**2*(f + 1)
Let -2*l**4/3 - 14*l**3/3 + 20*l**2/3 + 32*l/3 = 0. What is l?
-8, -1, 0, 2
What is i in 2*i**2 - 108*i - 110 = 0?
-1, 55
Determine s, given that 2*s**5/9 - 4*s**3/3 - 16*s**2/9 - 2*s/3 = 0.
-1, 0, 3
Find i such that 4*i**4 - 20*i**3/3 - 44*i**2/3 - 4*i = 0.
-1, -1/3, 0, 3
Solve 40*a**3/9 + 4*a**2 - 28*a/3 + 8/9 = 0.
-2, 1/10, 1
Factor 2*c**2/7 - 564*c/7 + 39762/7.
2*(c - 141)**2/7
Factor 5*m**2 - 12050*m + 7260125.
5*(m - 1205)**2
Factor -4*q**3 + 12*q**2 + 4*q - 12.
-4*(q - 3)*(q - 1)*(q + 1)
Factor -h**4/3 + 25*h**3/3 + 224*h**2/3.
-h**2*(h - 32)*(h + 7)/3
Factor 4*h**5 - 20*h**4 - 7320*h**3 + 186200*h**2 - 1205740*h - 1399236.
4*(h - 19)**3*(h + 1)*(h + 51)
Determine o, given that 6*o**2 - 9*o/4 = 0.
0, 3/8
Determine x, given that -3*x**5/10 + 7*x**4/5 - 17*x**3/10 - 3*x**2/5 + 2*x - 4/5 = 0.
-1, 2/3, 1, 2
Solve h**3/5 - 214*h**2/5 + 2332*h - 22472/5 = 0 for h.
2, 106
Solve -28*f**2 + 7716*f - 4400 = 0.
4/7, 275
Factor 5*o**2 + 200*o + 720.
5*(o + 4)*(o + 36)
Factor y**2 + 46*y - 432.
(y - 8)*(y + 54)
Solve 8*y**2 + 324*y - 504 = 0.
-42, 3/2
Suppose -64*y**5 - 2144*y**4 - 5092*y**3 - 4132*y**2 - 1244*y - 124 = 0. What is y?
-31, -1, -1/4
Factor -2*b**3 + 36*b**2 - 142*b + 156.
-2*(b - 13)*(b - 3)*(b - 2)
Factor r**4/3 + 18*r**3 + 100*r**2 + 584*r/3 + 128.
(r + 2)**3*(r + 48)/3
Find g such that -3*g**3 + 102*g**2 - 267*g - 372 = 0.
-1, 4, 31
Let 205*j**2 - 1228*j - 12 = 0. What is j?
-2/205, 6
Factor -4*o**2/5 + 348*o/5 - 1944/5.
-4*(o - 81)*(o - 6)/5
Factor 4*x**3 + 4*x**2 - 132*x + 252.
4*(x - 3)**2*(x + 7)
Solve 6*a**4/5 - 76*a**3/5 - 1606*a**2/15 + 19448*a/15 + 6936/5 = 0.
-9, -1, 34/3
Suppose t**3/2 - 6*t**2 - 43*t/2 - 15 = 0. Calculate t.
-2, -1, 15
Factor 2*p**5 - 2*p**4 - 58*p**3 + 90*p**2 + 432*p - 864.
2*(p - 3)**3*(p + 4)**2
Let 6*g**5 - 2870*g**4/11 + 42024*g**3/11 - 213408*g**2/11 + 89152*g/11 + 23520/11 = 0. Calculate g.
-2/11, 2/3, 14, 15
Determine w so that 9*w**3/7 + 114*w**2/7 - 39*w/7 = 0.
-13, 0, 1/3
Determine g, given that -3*g**2 - 2028*g + 2031 = 0.
-677, 1
Factor -s**2 - 3493*s.
-s*(s + 3493)
Factor y**4/4 - 23*y**3/2 + 481*y**2/4 + 276*y + 144.
(y - 24)**2*(y + 1)**2/4
Let -2*b**2/7 + 2514*b/7 = 0. What is b?
0, 1257
Factor -2*a**4 - 10*a**3 + 26*a**2 - 14*a.
-2*a*(a - 1)**2*(a + 7)
Factor -o**2 - 167*o - 330.
-(o + 2)*(o + 165)
Factor y**5/7 + 46*y**4/7 - 21*y**3.
y**3*(y - 3)*(y + 49)/7
Find t, given that 2*t**2 - 22*t - 160 = 0.
-5, 16
Find k, given that -9*k**3 - 606*k**2 + 3000*k - 1728 = 0.
-72, 2/3, 4
Determine n so that n**3/6 + 11*n**2/6 - 28*n/3 + 10 = 0.
-15, 2
Let -2*f**3 - 106*f**2 = 0. What is f?
-53, 0
Let 21*z**4 + 180*z**3 + 276*z**2 = 0. What is z?
-46/7, -2, 0
Factor -9*p**3/7 - 155*p**2/7 + 128*p/7 + 36/7.
-(p - 1)*(p + 18)*(9*p + 2)/7
Suppose -4*x**3 - 424*x**2 - 13056*x - 92160 = 0. What is x?
-48, -10
Factor 20*q**2/7 - 36*q - 104/7.
4*(q - 13)*(5*q + 2)/7
Factor -m**4 + 3*m**3 + 9*m**2 - 27*m.
-m*(m - 3)**2*(m + 3)
Determine h, given that -45*h**2 - 200*h = 0.
-40/9, 0
Let -2*w**3/19 - 6*w**2/19 = 0. What is w?
-3, 0
Find m, given that -10*m**5/23 + 152*m**4/23 - 6*m**3 - 476*m**2/23 + 808*m/23 - 336/23 = 0.
-2, 1, 6/5, 14
Solve 3*d**3/7 - 30*d**2/7 + 69*d/7 - 6 = 0.
1, 2, 7
Factor 3*i**2/8 + 15*i/2 - 33/2.
3*(i - 2)*(i + 22)/8
Factor 4*h**2 - 124*h - 264.
4*(h - 33)*(h + 2)
Find r such that -r**5/7 + 36*r**4/7 - 232*r**3/7 - 306*r**2/7 + 233*r/7 + 270/7 = 0.
-1, 1, 10, 27
Let -10*s**3/3 + 194*s**2/3 + 344*s/3 - 56 = 0. What is s?
-2, 2/5, 21
Factor 1055*l**3/3 - 355*l**2 + 10*l/3.
5*l*(l - 1 | {
"pile_set_name": "DM Mathematics"
} |
94*f**2. Let w(b) = b**2. Give x(w(t)).
694*t**4
Let k(o) = 4*o - 7. Let w(r) = 3*r - 6. Let m(n) = -6*k(n) + 7*w(n). Let h = 15 + -9. Let i(d) = -3*d - 2*d + h*d. Give m(i(q)).
-3*q
Let p(j) = -4*j. Let x be (4/10)/((-1)/(-40)). Let h(o) = -16 + x + o**2. What is p(h(l))?
-4*l**2
Let w(d) = 3*d. Let o(b) = 175*b**2 - 63*b + 63. Let k(p) = 11*p**2 - 4*p + 4. Let n(q) = -63*k(q) + 4*o(q). Determine n(w(s)).
63*s**2
Let d(i) = -7*i. Let w(j) = 2 + j - 9 + j**2 + j + 5*j. Let c(z) = -z**2 - 6*z + 6. Let n(m) = 7*c(m) + 6*w(m). What is n(d(k))?
-49*k**2
Let x(l) = 6*l**2 + 0 + 0 - 5*l**2. Let t(n) = -n**2. Give t(x(b)).
-b**4
Let w(p) = -p**2. Let r(j) = -477*j. Determine r(w(y)).
477*y**2
Let t(w) = 2*w - 4. Let a(m) = -m + 1. Let s(r) = -4*a(r) - t(r). Let z(f) be the third derivative of -2*f**2 + 1/24*f**4 + 0*f**3 + 0 + 0*f. Determine z(s(p)).
2*p
Let s(l) = -5*l. Let c(u) be the second derivative of 0*u**2 + 0 - u - 1/12*u**4 - 2/3*u**3. Let r(p) = -5*c(p) + 4*s(p). Let x(j) = j. What is r(x(n))?
5*n**2
Let y(j) = 2*j. Let u(t) = 4*t**2 - 587*t + 2. Determine y(u(a)).
8*a**2 - 1174*a + 4
Let x(n) be the first derivative of n**2/2 - 1. Let s(a) = 5*a - 2*a - 3*a + 5*a. Determine x(s(o)).
5*o
Let g(c) = 7*c. Let v(f) = 3*f. Let h(u) = -3*g(u) + 6*v(u). Let n(i) = -10 + 10 - 5*i. Determine h(n(b)).
15*b
Let x(d) = -4*d**2. Let h(q) = -2*q - 158. Determine h(x(m)).
8*m**2 - 158
Suppose 0*o + o = 4*s + 9, -3*o - 1 = 2*s. Let g be s - (-6)/(3 + 0). Let a(h) = g - 6*h + 0*h + 0. Let t(i) = -i**2. Give t(a(r)).
-36*r**2
Let o(j) = -13*j**2 - 4*j. Let d(q) = -391*q**2 - 119*q. Let b(l) = 4*d(l) - 119*o(l). Let c(h) = -2*h**2. What is b(c(u))?
-68*u**4
Let c(o) = -4*o - 607. Let b(q) = q. Give b(c(f)).
-4*f - 607
Let y(t) = -3*t - 3. Let j(c) = -21*c**2 - 11*c. Determine j(y(v)).
-189*v**2 - 345*v - 156
Let v = -1 + 3. Let z(s) = 3*s**2 - 6*s**2 + 2*s**v. Let d(t) be the third derivative of t**5/15 + 6*t**2. Calculate d(z(n)).
4*n**4
Let p(z) = 304*z. Let m(g) = -6*g**2. Give m(p(d)).
-554496*d**2
Let c(k) = 11*k. Let v(g) = 5*g**2 - 4*g + 4. Let a(w) = 9*w**2 - 7*w + 7. Let n(y) = 4*a(y) - 7*v(y). Calculate n(c(o)).
121*o**2
Suppose -15 = 4*g - 75. Let k be 35/g - (-1)/(-3). Let f(u) = -5*u**2 + k*u**2 + 4*u**2. Let p(w) = w**2. Calculate f(p(t)).
t**4
Let r be 1/((-8)/12) - (-5)/10. Let x(u) = -u**2 + 1. Let n(d) = 2*d**2 - 3*d + 3*d - 1. Let z(o) = r*n(o) - x(o). Let c(h) = 8*h. Calculate z(c(l)).
-64*l**2
Let i(d) = 0*d**2 - d**2 + 0 + 0. Let a(u) be the second derivative of 1/6*u**4 - 2*u + 0*u**3 + 0 + 0*u**2. Determine a(i(k)).
2*k**4
Let r(i) = -44*i - 1. Let g(y) = 4*y. Determine r(g(q)).
-176*q - 1
Let h(p) = -5*p**2 - 4. Let l(i) = 6*i**2 + 5. Let y(n) = 5*h(n) + 4*l(n). Let t be 0 + 5/((-10)/(-4)). Let w(r) = -t*r + r - r. Determine w(y(z)).
2*z**2
Let g(x) = -3*x**2 + 3*x**2 + 0*x**2 + x**2. Let a(t) be the second derivative of 0*t**2 - 5/12*t**4 + 0*t**3 + 2*t + 0. Determine a(g(i)).
-5*i**4
Let s(v) = 22*v**2. Let h(b) = -62*b**2. What is s(h(t))?
84568*t**4
Let f(t) = -5*t**2. Let c(a) = -811*a**2. Give c(f(m)).
-20275*m**4
Let m(y) = 10*y. Let w(q) be the first derivative of -2*q**3/3 + 5. Give m(w(t)).
-20*t**2
Let i(b) = 2*b**2. Let z(p) = -44*p - 5 + 3 + 21*p. Give z(i(d)).
-46*d**2 - 2
Let a(o) = -2*o. Let h(i) be the second derivative of -31*i**3/6 + 18*i. Calculate a(h(u)).
62*u
Let t be 1 + (5 - 3) + 0. Let x(j) = -2*j**2 + 2*j**2 - t*j**2 + 0*j**2. Let g(s) = -2*s. What is x(g(z))?
-12*z**2
Let r(m) = -4*m + 4*m - 4*m + 5*m. Let i(y) = 10*y. Let g(t) = 11*t. Let p(c) = 5*g(c) - 6*i(c). Give r(p(q)).
-5*q
Let y(s) = 2*s. Let c(d) = 141*d + 27. Let m(p) = -20*p - 4. Let w(l) = -4*c(l) - 27*m(l). Give w(y(r)).
-48*r
Let a(z) = -3*z. Let q(f) = 2 - 3*f + 7*f - 2*f - 8*f**2 + 0*f. Let l(v) = 9*v**2 - 3*v - 3. Let i(g) = 2*l(g) + 3*q(g). Give i(a(c)).
-54*c**2
Let p(a) be the second derivative of -2*a + 1/3*a**3 + 0 + 0*a**2. Let c(n) = -n - 2*n**2 - 5*n + 6*n. Determine c(p(k)).
-8*k**2
Let j(o) = 4*o + 989*o**2 - 988*o**2 - 4*o. Let f(z) = 39*z. Give j(f(m)).
1521*m**2
Let b(w) = -5*w**2 - 3. Let i(y) = -1. Let u(l) = -b(l) + 3*i(l). Let x(s) = -4*s**2. Determine x(u(v)).
-100*v**4
Let y(f) = -3*f**2 + 5*f. Let n(o) = -9*o**2. Calculate y(n(b)).
-243*b**4 - 45*b**2
Let k(f) = -5*f. Suppose -3*b = 4*m - b - 6, 0 = -5*b - 5. Let y(h) = h**2 + 3*h**2 - h**m. Calculate k(y(a)).
-15*a**2
Let i(m) = 7*m**2. Let v(o) = 2*o + 2. Let q(u) = -6*u - 7. Let p(r) = 2*q(r) + 7*v(r). Determine i(p(n)).
28*n**2
Let q(c) = -c**2 + 3*c + 5. Let n be q(-2). Let b(z) = -2*z. Let o(m) = -3*m. Let h(p) = n*b(p) + 4*o(p). Let l(d) = -8*d. Calculate l(h(f)).
16*f
Let w(i) = -17*i. Let n(j) = 2*j. Give n(w(y)).
-34*y
Let i(y) be the third derivative of -y**6/360 - y**3/6 - 3*y**2. Let t(u) be the first derivative of i(u). Let w(r) = -2*r + r - r. Give t(w(h)).
-4*h**2
Let g(a) be the second derivative of a**4/6 - a**2/2 - 2*a. Let l(o) be the first derivative of g(o). Let y(k) = -58*k + 20*k + 16*k + 20*k. Calculate l(y(h)).
-8*h
Let g(n) = n. Suppose -27 = -3*x - 3*j, 3*x - 4*x = -3*j + 7. Let h = -3 + x. Let y(c) = h*c - 4*c + 4*c. Determine y(g(w)).
2*w
Let k(p) = 2*p - 81. Let f(h) = 3*h**2. Give f(k(t)).
12*t**2 - 972*t + 19683
Let i(k) = 284*k**2. Let t(s) = -3*s. Give t(i(u)).
-852*u**2
Suppose -2*h - 1 = -3. Let i(g) = -h + 1 + 4*g. Let f(c) = 15*c**2 - 11*c**2 - 2*c**2. Calculate i(f(q)).
8*q**2
Let a(x) = 3*x - x - 18*x. Let b(c) = 2*c**2. Give a(b(y)).
-32*y**2
Let j(n) be the third derivative of -n**5/20 - 25*n**2. Let o(p) = 9*p**2. What is o(j(m))?
81*m**4
Let r(q) = -q**3 - 5*q**2 + 2*q - 8. Let h be r(-6). Let f(v) = -11*v**2 - 11*v**2 + h*v**2. Let k(l) = l. Give k(f(i)).
-6*i**2
Let y(h) = -2*h. Let c(t) = -29*t**2 - 5 - 27*t**2 + 57*t**2. Calculate y(c(a)).
-2*a**2 + 10
Let s(b) = b**2. Let p(i) = 112 - 112 + 4*i. What is p(s(t))?
4*t**2
Let a(z) = -z**2. Let x(n) = 3*n**2. Let d = -2 - -4. Let p(o) = 7*o**2 + 2 - 2. Let q(w) = d*p(w) - 5*x(w). Calculate a(q(i)).
-i**4
Let k(h) = -h**2. Let z(c) = -364*c. Determine z(k(q)).
364*q**2
Let a(v) = -2*v**2. Let n(x) = -3*x**2 + 4*x - 8. Let w(g) = -4*g**2 + 5*g - 10. Let o(j) = -5*n(j) + 4*w(j). Determine a(o(r)).
-2*r**4
Let t(c) = -53*c**2. Let d(k) = -20*k - 16*k + 36*k + k**2. Calculate t(d(a)).
-53*a**4
Let s(j) = -j**2. Let n(h) = 3*h + 2*h - 3*h + 0*h. What is s(n(l))?
-4*l**2
Let a(q) = 17*q - 10*q + 8*q. Let o(g) = 2*g. Give a(o(c)).
30*c
Let h(u) = 4*u. Let x(k) = -5*k + 20. Calculate x(h(d)).
-20*d + 20
Let c(x) = 70*x**2 - 1. Let m(f) = 8*f**2. What is c(m(w))?
4480*w**4 - 1
Let c(i) = 0 + 0 - 14*i + 78*i. Let f(n) = -5*n. Let k(q) = -3*c(q) - 40*f(q). Let p(z) = 2*z**2. Determine p(k(u)).
128*u**2
Let l(o) = o. Let t = 5 + -3. Let f be 9 + -2 + 0 + 2. Let q(k) = 9*k + k**t - f*k. What is l(q(w))?
w**2
Let r(p) = -3*p + 6*p + 0*p. Let f be (8/10)/(2/5). Let t(d) = -d**2 - 2*d**f + d**2. Calculate r(t(a)).
-6*a**2
Let c(b) = 7*b. Let f(g) = 4*g. Let l(y) = -7*y. Let q(m) = -10*f(m) - 6*l(m). Give c(q(w)).
14*w
Let s(b) = -2*b**2. Let g(o) = -2*o**2. Let k(l) = -6*g(l) + 5*s(l). Let h(z) = -3*z + 7*z + 0*z. Determine h(k(n)).
8*n**2
Let k(n) = -8*n + 8*n + 0*n**2 + 7*n**2. Let w(y) = -y - y - 5*y + 5*y. Calculate k(w(t)).
28*t**2
Suppose -4*o = -6*o. Let p(r) = -2*r**2 + o*r - r**2 + 0*r. Let j(d) = d. Calculate j(p(w)).
-3*w**2
Let s(x) = 2*x**2 - 135. Let p(c) = -6*c. Calculate s(p(u)).
72*u**2 - 135
Let g(y) = -2*y**2. Let o(i) = 495*i**2. Give o(g(f)).
1980*f**4
Let n(h) = h**2 + h - 1. Let d(k) = k - 1. Let u(a) = -2*d(a) + 2*n(a). Let j(w) = -3*w. What is j(u(i))?
-6*i**2
Let i(l) = -l**2 + 3*l - 3. Let k(z) = -z + 1. Let x(u) = -i(u) - 3*k(u). Let q(j) be the second derivative of j**4/6 - j. Give q(x(n)).
2*n**4
Let u(m) = -4*m + m + 3*m + 5*m**2. Let s(w) = 11*w**2. Let v(y) = -4*s(y) + 9*u(y). Let l(g) = 3*g**2. Give v(l(o)).
9*o**4
Let s(g) = g**2. Let d(i) = -35*i - 2. What is d(s(t))?
-35*t**2 - 2
Let v(c) = -4*c**2. Let a(f) = -5*f**2 - 7. What is v(a(z))?
-100*z**4 - 280*z**2 - 196
Let d(k) = -13*k**2 + 9*k. Let i(o) = -3*o**2 + 2*o. Let u = -7 + 9. Let x(t) = u*d(t) - 9*i(t). Let p(v) = -2*v**2. Give x(p(r)).
4*r**4
Let h(q) = 6*q. Let t(o) be the second derivati | {
"pile_set_name": "DM Mathematics"
} |
at is prob of sequence eaaa?
1/4
Two letters picked without replacement from {o: 3, k: 4, f: 1, u: 4, j: 1}. What is prob of sequence uf?
1/39
Calculate prob of sequence rrim when four letters picked without replacement from imddmirri.
1/252
Calculate prob of sequence qix when three letters picked without replacement from {g: 1, j: 1, x: 1, i: 1, q: 1}.
1/60
Four letters picked without replacement from {m: 3, u: 3, x: 7}. Give prob of sequence ummx.
21/2860
Three letters picked without replacement from {q: 1, p: 1, u: 2}. What is prob of sequence quu?
1/12
What is prob of sequence iz when two letters picked without replacement from uupzuzfizfffpupppu?
1/102
What is prob of sequence qqn when three letters picked without replacement from qhqn?
1/12
Calculate prob of sequence vaz when three letters picked without replacement from {m: 1, a: 1, z: 1, d: 1, v: 1}.
1/60
What is prob of sequence ytth when four letters picked without replacement from {h: 4, t: 3, e: 2, y: 1, f: 1}?
1/330
What is prob of sequence kc when two letters picked without replacement from ckc?
1/3
Calculate prob of sequence bn when two letters picked without replacement from bbnbnjnbb.
5/24
Calculate prob of sequence eqts when four letters picked without replacement from {q: 1, t: 5, e: 5, s: 7, w: 1}.
175/93024
Calculate prob of sequence uuaa when four letters picked without replacement from {u: 10, a: 2}.
1/66
Three letters picked without replacement from wuwuwuuwwwwwwuuwuww. Give prob of sequence uww.
154/969
Four letters picked without replacement from {l: 10}. Give prob of sequence llll.
1
Four letters picked without replacement from mmvuvvvhvvhmmuu. Give prob of sequence hvhu.
1/910
Three letters picked without replacement from annaan. Give prob of sequence nan.
3/20
What is prob of sequence ana when three letters picked without replacement from {t: 4, a: 2, n: 2}?
1/84
What is prob of sequence ae when two letters picked without replacement from qeeqqeeeqa?
1/18
Four letters picked without replacement from {a: 1, x: 1, o: 5, h: 5}. Give prob of sequence aoxh.
5/2376
What is prob of sequence xel when three letters picked without replacement from llxllxeleellxlex?
4/105
Two letters picked without replacement from {b: 1, i: 2, s: 1, g: 2, v: 1}. Give prob of sequence sv.
1/42
What is prob of sequence li when two letters picked without replacement from {p: 1, i: 1, l: 1, f: 4, a: 1}?
1/56
Calculate prob of sequence yyy when three letters picked without replacement from uuauauuuuuauaayuaaau.
0
Calculate prob of sequence dbd when three letters picked without replacement from bbddddddddddddbd.
39/280
What is prob of sequence bsm when three letters picked without replacement from {x: 1, b: 2, s: 2, m: 1, i: 4}?
1/180
Three letters picked without replacement from {k: 1, h: 3, l: 1}. Give prob of sequence klh.
1/20
What is prob of sequence fc when two letters picked without replacement from fssfffffscffffcs?
1/12
Calculate prob of sequence wuu when three letters picked without replacement from {u: 11, w: 1}.
1/12
Calculate prob of sequence onn when three letters picked without replacement from {p: 3, n: 2, k: 2, o: 2}.
1/126
What is prob of sequence ok when two letters picked without replacement from {o: 3, w: 2, l: 3, x: 1, k: 3, c: 2}?
9/182
Calculate prob of sequence nwnn when four letters picked without replacement from wnwwwwwnwn.
1/120
Three letters picked without replacement from gaggagggaggagg. Give prob of sequence aaa.
1/91
What is prob of sequence bmwb when four letters picked without replacement from bbdwdmbwbrdwbd?
5/2002
Calculate prob of sequence oc when two letters picked without replacement from {l: 1, z: 4, o: 3, c: 2, p: 4}.
3/91
Three letters picked without replacement from {l: 1, g: 2, c: 2, o: 6, n: 4, v: 2}. What is prob of sequence lcg?
1/1020
What is prob of sequence ooo when three letters picked without replacement from {o: 5}?
1
Two letters picked without replacement from {q: 1, u: 4, k: 1, j: 2, w: 4, o: 2}. Give prob of sequence kw.
2/91
Three letters picked without replacement from {o: 3, b: 2, h: 1, q: 1, l: 1, e: 3}. Give prob of sequence eel.
1/165
Calculate prob of sequence dm when two letters picked without replacement from ddqumwmy.
1/14
Three letters picked without replacement from {m: 6, k: 1, n: 4, c: 5}. What is prob of sequence cmk?
1/112
Four letters picked without replacement from {d: 7, p: 1}. Give prob of sequence pddd.
1/8
Calculate prob of sequence sc when two letters picked without replacement from nqcesqeqqocqqqq.
1/105
Two letters picked without replacement from agtgaaaoa. What is prob of sequence to?
1/72
Calculate prob of sequence zxzx when four letters picked without replacement from {x: 4, z: 7}.
7/110
What is prob of sequence rfy when three letters picked without replacement from ffyfrfffnfff?
3/440
What is prob of sequence xxdd when four letters picked without replacement from {x: 7, d: 5}?
7/99
Calculate prob of sequence pf when two letters picked without replacement from mngnpgnmagfg.
1/132
What is prob of sequence ll when two letters picked without replacement from {m: 5, l: 2}?
1/21
Four letters picked without replacement from uwuuwuuuuuwuuu. Give prob of sequence wwuw.
1/364
Three letters picked without replacement from rakyr. What is prob of sequence arr?
1/30
What is prob of sequence ilcm when four letters picked without replacement from lcmiiil?
1/140
Three letters picked without replacement from {j: 2, p: 7}. What is prob of sequence pjp?
1/6
Calculate prob of sequence yy when two letters picked without replacement from jfwfyfffynwfwwf.
1/105
Four letters picked without replacement from qcqqccqcqqcqq. What is prob of sequence qcqq?
14/143
Calculate prob of sequence hh when two letters picked without replacement from {w: 7, h: 3}.
1/15
Calculate prob of sequence qrx when three letters picked without replacement from {q: 1, f: 1, x: 1, r: 1, s: 5}.
1/504
Two letters picked without replacement from {j: 3, l: 6, v: 1, m: 4, p: 2}. What is prob of sequence pl?
1/20
Four letters picked without replacement from {g: 2, h: 2, j: 1, v: 1}. Give prob of sequence ghgv.
1/90
Calculate prob of sequence cjj when three letters picked without replacement from {c: 9, j: 9}.
9/68
Calculate prob of sequence qo when two letters picked without replacement from oooooooooooooqoooooq.
9/95
Calculate prob of sequence dgd when three letters picked without replacement from {l: 7, d: 6, g: 6}.
10/323
What is prob of sequence lo when two letters picked without replacement from {m: 1, p: 4, l: 4, o: 7, y: 2}?
14/153
Four letters picked without replacement from {v: 2, w: 4, f: 1, k: 1}. Give prob of sequence vwkv.
1/210
Two letters picked without replacement from {w: 1, y: 5, e: 4}. What is prob of sequence ew?
2/45
Calculate prob of sequence jbd when three letters picked without replacement from {b: 4, d: 3, x: 2, w: 2, j: 2}.
2/143
Four letters picked without replacement from mmmmmmmmmmnmmmmnnm. What is prob of sequence nmmn?
7/408
Three letters picked without replacement from nmnnvnvvkvnx. What is prob of sequence nvn?
2/33
Two letters picked without replacement from umajtjmyu. What is prob of sequence my?
1/36
Two letters picked without replacement from denqy. What is prob of sequence yq?
1/20
What is prob of sequence oqm when three letters picked without replacement from {q: 2, m: 1, o: 1}?
1/12
Two letters picked without replacement from ddcdcddddlld. Give prob of sequence ld.
4/33
Two letters picked without replacement from {r: 3, i: 11}. Give prob of sequence ri.
33/182
Two letters picked without replacement from ziizziii. What is prob of sequence zz?
3/28
What is prob of sequence ypy when three letters picked without replacement from ypyapyypyyyypyyypp?
55/408
Two letters picked without replacement from {f: 10, w: 9, m: 1}. What is prob of sequence fw?
9/38
Calculate prob of sequence rr when two letters picked without replacement from {r: 4, v: 5, z: 1}.
2/15
Four letters picked without replacement from {k: 11, r: 9}. What is prob of sequence rkrk?
22/323
Two letters picked without replacement from {e: 1, x: 2, y: 4, g: 2, v: 10}. What is prob of sequence ey?
2/171
Two letters picked without replacement from llolllolggogllllllol. Give | {
"pile_set_name": "DM Mathematics"
} |
770 to the nearest integer?
108
What is the third root of 3318460 to the nearest integer?
149
What is 269464 to the power of 1/8, to the nearest integer?
5
What is 521124 to the power of 1/6, to the nearest integer?
9
What is the ninth root of 934218 to the nearest integer?
5
What is the third root of 13084884 to the nearest integer?
236
What is 8007495 to the power of 1/2, to the nearest integer?
2830
What is the eighth root of 4743436 to the nearest integer?
7
What is 548227 to the power of 1/3, to the nearest integer?
82
What is 10910733 to the power of 1/3, to the nearest integer?
222
What is the cube root of 14278366 to the nearest integer?
243
What is 6805154 to the power of 1/7, to the nearest integer?
9
What is the square root of 12180257 to the nearest integer?
3490
What is 21860710 to the power of 1/2, to the nearest integer?
4676
What is 485251 to the power of 1/8, to the nearest integer?
5
What is the third root of 3034257 to the nearest integer?
145
What is 3504374 to the power of 1/3, to the nearest integer?
152
What is 3977902 to the power of 1/7, to the nearest integer?
9
What is 7420339 to the power of 1/2, to the nearest integer?
2724
What is the sixth root of 3343641 to the nearest integer?
12
What is 396160 to the power of 1/8, to the nearest integer?
5
What is 335649 to the power of 1/9, to the nearest integer?
4
What is the third root of 102427 to the nearest integer?
47
What is 24942 to the power of 1/9, to the nearest integer?
3
What is the square root of 2422551 to the nearest integer?
1556
What is the third root of 332771 to the nearest integer?
69
What is the third root of 620173 to the nearest integer?
85
What is the ninth root of 24950933 to the nearest integer?
7
What is the tenth root of 198875 to the nearest integer?
3
What is the third root of 593830 to the nearest integer?
84
What is 219676 to the power of 1/5, to the nearest integer?
12
What is 260798 to the power of 1/2, to the nearest integer?
511
What is 281539 to the power of 1/2, to the nearest integer?
531
What is 1075213 to the power of 1/2, to the nearest integer?
1037
What is 237220 to the power of 1/2, to the nearest integer?
487
What is 75182 to the power of 1/3, to the nearest integer?
42
What is the sixth root of 128024 to the nearest integer?
7
What is the third root of 955325 to the nearest integer?
98
What is the third root of 583368 to the nearest integer?
84
What is 18113280 to the power of 1/2, to the nearest integer?
4256
What is the tenth root of 220655 to the nearest integer?
3
What is the third root of 379835 to the nearest integer?
72
What is the square root of 245185 to the nearest integer?
495
What is the third root of 213982 to the nearest integer?
60
What is the fifth root of 8118 to the nearest integer?
6
What is the square root of 16476189 to the nearest integer?
4059
What is 2639046 to the power of 1/9, to the nearest integer?
5
What is 573135 to the power of 1/3, to the nearest integer?
83
What is 86787 to the power of 1/2, to the nearest integer?
295
What is the square root of 2610862 to the nearest integer?
1616
What is 3923577 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 1253740 to the nearest integer?
10
What is the third root of 1458123 to the nearest integer?
113
What is 19519680 to the power of 1/2, to the nearest integer?
4418
What is 260909 to the power of 1/5, to the nearest integer?
12
What is the tenth root of 819847 to the nearest integer?
4
What is the cube root of 2802461 to the nearest integer?
141
What is the seventh root of 676021 to the nearest integer?
7
What is the cube root of 27369304 to the nearest integer?
301
What is 19787029 to the power of 1/4, to the nearest integer?
67
What is the cube root of 20174373 to the nearest integer?
272
What is 995309 to the power of 1/2, to the nearest integer?
998
What is the third root of 7406006 to the nearest integer?
195
What is the third root of 6050073 to the nearest integer?
182
What is the third root of 8751295 to the nearest integer?
206
What is 7620315 to the power of 1/3, to the nearest integer?
197
What is the square root of 5035908 to the nearest integer?
2244
What is the ninth root of 349382 to the nearest integer?
4
What is 269278 to the power of 1/6, to the nearest integer?
8
What is 18550157 to the power of 1/8, to the nearest integer?
8
What is 695202 to the power of 1/2, to the nearest integer?
834
What is 177530 to the power of 1/2, to the nearest integer?
421
What is the cube root of 2040377 to the nearest integer?
127
What is 808910 to the power of 1/7, to the nearest integer?
7
What is the square root of 43979255 to the nearest integer?
6632
What is 2644956 to the power of 1/2, to the nearest integer?
1626
What is the seventh root of 3169067 to the nearest integer?
8
What is 559258 to the power of 1/3, to the nearest integer?
82
What is 663830 to the power of 1/2, to the nearest integer?
815
What is 405244 to the power of 1/2, to the nearest integer?
637
What is 400719 to the power of 1/3, to the nearest integer?
74
What is the cube root of 11642384 to the nearest integer?
227
What is the third root of 1471393 to the nearest integer?
114
What is 1310886 to the power of 1/2, to the nearest integer?
1145
What is 86004 to the power of 1/3, to the nearest integer?
44
What is the square root of 746567 to the nearest integer?
864
What is the third root of 1004243 to the nearest integer?
100
What is the tenth root of 773526 to the nearest integer?
4
What is the tenth root of 20485246 to the nearest integer?
5
What is the cube root of 1027613 to the nearest integer?
101
What is 2766682 to the power of 1/2, to the nearest integer?
1663
What is the cube root of 498739 to the nearest integer?
79
What is 137105 to the power of 1/3, to the nearest integer?
52
What is 1980162 to the power of 1/3, to the nearest integer?
126
What is the fourth root of 3864612 to the nearest integer?
44
What is the square root of 545720 to the nearest integer?
739
What is 35759827 to the power of 1/2, to the nearest integer?
5980
What is the square root of 12569493 to the nearest integer?
3545
What is the fifth root of 2236741 to the nearest integer?
19
What is 343126 to the power of 1/2, to the nearest integer?
586
What is the square root of 260816 to the nearest integer?
511
What is the sixth root of 5879354 to the nearest integer?
13
What is 2790009 to the power of 1/3, to the nearest integer?
141
What is the seventh root of 1998141 to the nearest integer?
8
What is the eighth root of 570632 to the nearest integer?
5
What is 251883 to the power of 1/2, to the nearest integer?
502
What is 127629 to the power of 1/7, to the nearest integer?
5
What is the square root of 118509 to the nearest integer?
344
What is 2910628 to the power of 1/6, to the nearest integer?
12
What is 290635 to the power of 1/4, to the nearest integer?
23
What is 8626197 to the power of 1/3, to the nearest integer?
205
What is 949903 to the power of 1/2, to the nearest integer?
975
What is the fifth root of 26831766 to the nearest integer?
31
What is the tenth root of 1509730 to the nearest integer?
4
What is the cube root of 1831086 to the nearest integer?
122
What is the third root of 7826063 to the nearest integer?
199
What is the square root of 14952015 to the nearest integer?
3867
What is 678629 to the power of 1/3, to the nearest integer?
88
What is the third root of 1604879 to the nearest integer?
117
What is the ninth root of 7370884 to the nearest integer?
6
What is the third root of 175413 to the nearest integer?
56
What is 48733 to the power of 1/2, to the nearest integer?
221
What is the cube root of 456437 to the nearest integer?
77
What is the cube root of 4786142 to the nearest integer?
169
What is the third root of 667677 to the nearest integer?
87
What is the square root of 1615936 to the nearest integer?
1271
What is the ninth root of 407329 to the nearest integer?
4
What is the fifth root of 109602 to the nearest integer?
10
What is the sixth root of 3811643 to the nearest integer?
12
What is the square root of 3130376 to the nearest integer?
1769
What is 487983 to the power of 1/4, to the nearest integer?
26
What is the third root of 981830 to the neare | {
"pile_set_name": "DM Mathematics"
} |
t k = -8.9 - h. Sort k, 0.8, -3.
-3, k, 0.8
Let y = -4 - -3. Let r = 2 + y. Let s = 7 + -12. Put 4, s, r in increasing order.
s, r, 4
Let t = -13 + 12.8. Let m = t + -10.8. Sort m, 5, -3.
m, -3, 5
Let i be 3/((-27)/(-24))*-3. Let u(p) = -p**3 - 8*p**2 + 2*p + 12. Let t be u(i). Let x = 6 + t. Put -2, x, -0.1 in increasing order.
-2, -0.1, x
Let l = -556/55 - -51/5. Sort 0.3, l, -1/5.
-1/5, l, 0.3
Let v = -103 + 119. Put 3, 3/5, v in increasing order.
3/5, 3, v
Let u be (-3)/(-1) - (-6)/(-2 + 0). Sort 1, u, -4, -2 in descending order.
1, u, -2, -4
Let k = -0.8 - 20.2. Let n = k + 24. Sort 0, -2/7, n.
-2/7, 0, n
Let u(j) = j**2 + 7*j - 5. Let k be u(-8). Let p(f) = f - 1. Let v be p(-3). Let l(n) = 2*n**2 + 2*n - 2. Let z be l(-2). Sort v, z, k in ascending order.
v, z, k
Let b = 1 - -1. Let q = -2.5 + b. Sort q, -2/11, 5 in descending order.
5, -2/11, q
Let z = -2.47 - -0.27. Let d = z - -2. Let f = d - 1.8. Sort -4, -0.5, f in ascending order.
-4, f, -0.5
Let w be (-69)/(-6) + 1/(-2). Let t = w + -11. Let n(u) = -u**3 - 5*u**2 + 6*u - 4. Let m be n(-6). Sort -2, m, t in decreasing order.
t, -2, m
Suppose -2*g - g = 0. Suppose -10 = c - 4*j, -4*c - 2 = -5*j + 5. Suppose -c - 8 = 3*r - 2*z, 5*z = -2*r - 13. Sort r, g, -1.
r, -1, g
Let q(w) = -w**3 - 11*w**2 - 30*w + 3. Let f be q(-6). Sort -2/9, -4/3, f, -3/11 in decreasing order.
f, -2/9, -3/11, -4/3
Let x = 3 - 2. Let b be (-6)/28 - 1/(-2). Let u = 299.7 + -300. Put u, x, b in descending order.
x, b, u
Let y = 4.93 + 0.07. Let a = y - 4.5. Sort -2, -2/7, a.
-2, -2/7, a
Let l(w) = -2*w**3 - w**2 - w. Let o be l(-1). Let z(q) = q**2 - 25*q + 155. Let n be z(11). Put n, o, 11 in ascending order.
n, o, 11
Let p be 2 - ((-2)/(-12) - -2). Suppose 0 = 2*r - 3*f - 14, -5*r + 10 + 2 = 4*f. Suppose -20 = -r*o - 5*j, -5*j = -5*o - 9 - 11. Sort -1/2, o, p.
-1/2, p, o
Suppose -4*z + 2 = 3*y - 14, 2*z - 14 = -3*y. Let h be 3 - 2/y*6. Put h, 3, 7 in decreasing order.
7, 3, h
Let t = -21.5 - -21. Let a = 1 + -1. Sort t, a, 2 in increasing order.
t, a, 2
Let t = -4 + 3.4. Sort 0.2, -3/7, t.
t, -3/7, 0.2
Let n = 12.6 - 13. Sort n, 3, -4 in descending order.
3, n, -4
Suppose 8 = -2*n + 2. Sort 1, 4, n in ascending order.
n, 1, 4
Let l = 1.4 - 1. Sort -1, -0.4, l, 4.
-1, -0.4, l, 4
Suppose 5*l = -4*s - 8 + 21, -5 = -5*l. Suppose 4 = x + s*m, -x + 4 = -0*x - 5*m. Suppose 1 + 1 = t + a, x*t = -3*a + 10. Sort t, -1, 3 in increasing order.
-1, 3, t
Let z be (4/3)/(3/(-9)). Let o = -15 + 18. Sort o, -1, z in descending order.
o, -1, z
Let m(g) = -1 - 5*g**2 - 3 + 3 + 2*g. Let k(o) = -o**3 + 10*o**2 - 8*o - 8. Let p be k(9). Let j be m(p). Sort 2, j, -5 in increasing order.
-5, j, 2
Let f = 0.03 + -0.13. Sort -3, f, -5 in descending order.
f, -3, -5
Let f = -4.1 - -6.1. Sort 4, -1, f, -1/3 in decreasing order.
4, f, -1/3, -1
Let r(z) = -2*z**2 - 6*z + 3. Let l be r(-3). Sort l, 5, -9 in decreasing order.
5, l, -9
Let i = 62 - 57. Put i, -1, 1/3, -0.4 in increasing order.
-1, -0.4, 1/3, i
Let f = -3 + 12. Suppose -2*b = u - f, -5*u + 25 = -0*b + 5*b. Put 5, u, -5 in descending order.
5, u, -5
Let c = -8 + 20. Let m = c + -9. Sort m, -2, 1 in decreasing order.
m, 1, -2
Suppose 21 = 2*d + 5*y, -2*y + 13 = 3*d - 2. Suppose 11 = 4*z + 5*t, 0 = d*z + 2*t - 10. Sort z, -2, -1 in decreasing order.
z, -1, -2
Suppose -3*c - c = -24. Sort 1, c, -3.
-3, 1, c
Let m = -10 - -26. Let u be (m/(-4))/2 - -6. Sort -3, 2, u in ascending order.
-3, 2, u
Let w = -15 - -13. Sort 4, w, 8.
w, 4, 8
Let i = -3 + 2. Let t be -1 - -4 - 2 - -2. Suppose -t*l + 3*r - 27 = 0, 4 = -5*l - r - 17. Sort 0, l, i.
l, i, 0
Let y = 355 - 359. Let a = 7 + -12. Put -0.2, a, y in ascending order.
a, y, -0.2
Suppose -2*q + 4 = 2. Let z = -4 + q. Put z, -0.2, 2/3 in decreasing order.
2/3, -0.2, z
Let n = -128 - -123. Sort n, 37, -1/3 in increasing order.
n, -1/3, 37
Let v = -77/68 + -2/17. Let l = 0.06 - -0.19. Let u = 0.05 + l. Put v, -5, u in ascending order.
-5, v, u
Let g be (-8)/(-1)*1/(-6). Let t be (-4)/(-10) + (-7)/(-20). Sort g, t, 2 in decreasing order.
2, t, g
Let x = -5 - -12.4. Let j = x - 7. Suppose -l = 3 - 2. Sort j, -3, l in ascending order.
-3, l, j
Suppose 0 = -0*j + 3*j + 15. Suppose 35 = -7*u + 14*u. Sort 1, u, j in decreasing order.
u, 1, j
Let v = -2.01 - -0.01. Let u = 120 + -593/5. Let a = 452 - 451.8. Put u, a, v in decreasing order.
u, a, v
Let v(u) = 2*u**3 + u - 1. Let c be v(1). Let d be 2/(-12)*(-12)/9. Sort 4, d, c in ascending order.
d, c, 4
Let f(m) = m**2 + 3*m + 3. Let k(j) = j**2 + 3*j + 2. Let z(g) = 6*f(g) - 7*k(g). Let r be z(-4). Suppose -2*v - 3 + 13 = r. Put -5, -1, v in descending order.
v, -1, -5
Let n be 12/10*(-10)/(-3). Let t be (2*3)/(6/n). Put t, -5, 6 in increasing order.
-5, t, 6
Suppose 0 = 5*v - 25, v + 2*v = -2*h + 15. Suppose 0*p = 2*p - 16. Let l be (-30)/(-8) - p/(-32). Put 5, l, h in increasing order.
h, l, 5
Let p = 0.08 + -0.1. Let x = 1.72 + -1.7. Let w = p + x. Put 3, -0.5, w in descending order.
3, w, -0.5
Let c be -4 - -3 - (1 - 6). Let q = -0.9 + -1.1. Sort c, 1, q.
q, 1, c
Let t = 75 - 73. Let r(a) = a**3 + 3*a**2 - 4*a - 4. Let i be r(-4). Put -5, t, i in decreasing order.
t, i, -5
Let l = -9.54 + -0.46. Sort l, 3, 2/5 in descending order.
3, 2/5, l
Let m(v) = v**3 - 7*v**2 + 9*v + 10. Let w be m(5). Let d(i) = -2 - 2 + 5 - 3*i. Let a be d(2). Put a, w, 1 in decreasing order.
w, 1, a
Suppose -k + 4 - 5 = 0. Sort k, -2, -3, -4 in increasing order.
-4, -3, -2, k
Let z = -80 + 79.9. Suppose 0 = w - 0*w + 4. Sort w, -5, z in decreasing order.
z, w, -5
Suppose 0 = 2*p - 5 - 5. Let l be 18/(-6) - (-20)/12. Put l, 2/5, p in increasing order.
l, 2/5, p
Let o be 5*16*(-1)/(-5). Let q = -11 + o. Sort q, 3, 0 in increasing order.
0, 3, q
Let n = 16 - 81/5. Sort -4, 0, n in decreasing order.
0, n, -4
Let d be 9/(1 + 2)*-2. Let j be (d/(-15))/(2/(-10)). Sort 2, 1, j in decreasing order.
2, 1, j
Let a = -9 - -15. Let c = 4 - a. Sort c, 0, 0.2 in increasing order.
c, 0, 0.2
Let x(r) = r**2 - 7*r - 2. Let m be x(7). Let k(j) = j**2 - 21*j + 85. Let f be k(14). Put f, -1, m in ascending order.
f, m, -1
Let s be 5*1 - (-14 - -12). Suppose -4*b - 13 = s. Sort b, 4, -1 in descending order.
4, -1, b
Let h(l) = -l + 2. Let w be h(5). Let m(y) be the third derivative of y**4/12 + y**3/6 - 2*y**2. Let q be m(w). Put q, -3, 1 in decreasing order.
1, -3, q
Let v = 8.1 - 8. Let p = -378 - -6428/17. Put p, v, 1/6 in increasing order.
v, p, 1/6
Let c = -8 - -3. Suppose -b = 2*b - 12. Sort b, c, -1.
c, -1, b
Let n = -1.7 - -0.7. Let k = 2 + n. Let z = -5 + k. Sort z, 5, -1/2 in descending order.
5, -1/2, z
Let i = -101 - -104.96. Let g = -4 + i. Let q = 0.16 - g. Sort 5, 2/3, q in increasing order.
q, 2/3, 5
Let l(z) = -4*z. Let i be l(1). Let m = -1.3 + 1.1. Put -1, i, m in ascending order.
i, -1, m
Let c = -0.0355 - -0.5355. Let w = -4.02 - -0.02. Sort c, w, -0.4.
w, -0.4, c
Let z = -1.2 - -0.2. Sort -0.3, -3, z in increasing order.
-3, z, -0.3
Let f(y) = 7*y - 7. Let w(r) = -4*r + 3. Let b(d) = 3*f(d) + 5*w(d). Let t be b(10). Put 0, -1, t in decreasing order.
t, 0, -1
Let f = -0.058 + 1.058. Sort -3, -1/2, 12, f in decreasing order.
12, f, -1/2, -3
Let w(t) = t**3 + t**2 + t + 5. Let k be w(0). Suppose -y - 7 = k*j - 1, 2*j + 2 = 0. Suppose 0*u - 9 = 3*u. Put -4, u, y in increasing order.
-4, u, y
Suppose s + 2*s = -15. Let t be -1*(-3)/5*5. Sort -3, t, s in increasing order.
s, -3, t
Let o = -3 + 5. Suppose -3*q - 7 = -u, -9 = 4*q - q. Sort u, 3, o.
u, o, 3
Let g = 20/9 + -71/36. Let y = 25 - 74/3. Put y, 0.5, g in descending order.
0.5, y, g
Suppose 11 = 4*z + 31. Suppose 0 = -5*s + 7*s + 12. Put -3, s, z in decreasing order.
-3, z, s
Let t be ((-1)/2)/((-1)/12). Let s be 2 - (-4 + (-2 - -4)). Put s, 5, t in decreasing order.
t, 5, s
Let q = 0 - -1. Let w = 4 - -1. Put w, 0.4, q in ascending order.
0.4, q, w
Let v = 22 + -19. Suppose -l - 3*l = -4*c - 24, c = -3*l + 6. Sort v, c, -4 in ascending order.
-4, c, v
Let p = 2.9 - 3. Let q = -0.9 + p. Sort 2, q, 2/7 in ascending order.
q, 2/7, 2
Let o = 0.2 + -0.4. Let b = o + 3.2. Let n = 0.07 + 3.93. Put b, 1, n in descending order.
n, b, 1
Let o = -27 + 24. Sort 2, o, -14 in descending order.
2, o, -14
Suppose -16 - 5 = 7*x. Put 2, x, -1/3 in decreasing order.
2, -1/3, | {
"pile_set_name": "DM Mathematics"
} |
What is 0.0002084 rounded to 5 decimal places?
0.00021
What is 0.000034361 rounded to seven dps?
0.0000344
What is -0.00010972 rounded to four decimal places?
-0.0001
Round -10.474 to 1 decimal place.
-10.5
Round 0.0000703 to 4 decimal places.
0.0001
What is 3069000 rounded to the nearest 100000?
3100000
Round -51431 to the nearest 100.
-51400
What is -1257900 rounded to the nearest 10000?
-1260000
What is 11847000 rounded to the nearest 100000?
11800000
What is 18900000 rounded to the nearest 1000000?
19000000
What is 0.000010891 rounded to seven decimal places?
0.0000109
What is 0.00000036573 rounded to seven dps?
0.0000004
Round -0.00001167 to six dps.
-0.000012
Round 0.002397 to four decimal places.
0.0024
What is 0.00011192 rounded to 6 decimal places?
0.000112
Round -0.02063 to 3 decimal places.
-0.021
Round -48629 to the nearest one thousand.
-49000
What is -43750 rounded to the nearest 1000?
-44000
Round 121140 to the nearest 1000.
121000
What is 0.0000017132 rounded to 7 decimal places?
0.0000017
Round -3281.1 to the nearest 1000.
-3000
What is -894500 rounded to the nearest 100000?
-900000
Round 52381 to the nearest one thousand.
52000
Round -43785000 to the nearest one million.
-44000000
What is -3758.9 rounded to the nearest ten?
-3760
What is 376300 rounded to the nearest one thousand?
376000
What is 0.31652 rounded to two dps?
0.32
Round 213340 to the nearest ten thousand.
210000
Round 0.1444 to 2 decimal places.
0.14
Round -27120 to the nearest 100000.
0
Round -4.155 to one decimal place.
-4.2
Round -22304000 to the nearest one million.
-22000000
Round -1.0901 to one dp.
-1.1
What is -4445400 rounded to the nearest ten thousand?
-4450000
What is 0.0038295 rounded to five dps?
0.00383
Round 426800 to the nearest 10000.
430000
What is 30292.4 rounded to the nearest ten thousand?
30000
What is 0.0003387 rounded to four dps?
0.0003
What is -63010 rounded to the nearest 1000?
-63000
Round -629.7 to the nearest 100.
-600
Round 0.01809 to two decimal places.
0.02
What is -1.653 rounded to zero dps?
-2
What is 0.05998 rounded to two decimal places?
0.06
What is -136.8 rounded to the nearest integer?
-137
What is -33304000 rounded to the nearest 1000000?
-33000000
What is 5933000 rounded to the nearest one hundred thousand?
5900000
What is -13020700 rounded to the nearest one million?
-13000000
What is -0.0002934 rounded to five dps?
-0.00029
Round -0.0050012 to 3 dps.
-0.005
Round -0.000135816 to 5 dps.
-0.00014
What is -1245 rounded to the nearest ten?
-1250
What is 24.16 rounded to the nearest 10?
20
Round 0.6994 to 2 dps.
0.7
Round -0.0732 to 2 decimal places.
-0.07
Round -2980000 to the nearest 100000.
-3000000
What is 0.005563 rounded to 3 decimal places?
0.006
What is -0.014195 rounded to 4 decimal places?
-0.0142
Round -29.72 to the nearest 10.
-30
Round -2.3428 to two dps.
-2.34
What is 35140 rounded to the nearest one thousand?
35000
Round -0.000359 to 5 dps.
-0.00036
What is -2057700 rounded to the nearest 10000?
-2060000
Round 0.0018 to three dps.
0.002
Round 0.000151 to 5 decimal places.
0.00015
Round -2784200 to the nearest ten thousand.
-2780000
Round -8700000 to the nearest one hundred thousand.
-8700000
What is -0.0007383 rounded to four decimal places?
-0.0007
What is 3195000 rounded to the nearest one hundred thousand?
3200000
What is 0.03377 rounded to two decimal places?
0.03
What is -0.00003866 rounded to 6 dps?
-0.000039
Round 65.4 to the nearest ten.
70
Round 0.4395 to 1 dp.
0.4
What is -251.03 rounded to the nearest integer?
-251
Round -0.29054 to 3 decimal places.
-0.291
Round 3.006 to the nearest integer.
3
What is 0.00001146 rounded to 6 decimal places?
0.000011
What is 63300 rounded to the nearest 10000?
60000
What is 16.048 rounded to the nearest integer?
16
What is 0.3292 rounded to 1 dp?
0.3
What is -4249400 rounded to the nearest one hundred thousand?
-4200000
Round -125000 to the nearest ten thousand.
-130000
What is 452.08 rounded to the nearest one hundred?
500
Round -947270 to the nearest ten thousand.
-950000
Round 0.0008088 to three dps.
0.001
Round -9.191 to 1 decimal place.
-9.2
Round -300.7 to the nearest 100.
-300
Round 164660 to the nearest 1000.
165000
What is -1.6682 rounded to one decimal place?
-1.7
What is -0.86402 rounded to 2 decimal places?
-0.86
What is -0.00715 rounded to three decimal places?
-0.007
Round 3956900 to the nearest 10000.
3960000
Round 25.59 to the nearest 10.
30
Round -18562000 to the nearest 1000000.
-19000000
What is -0.0000857 rounded to six decimal places?
-0.000086
What is 61.78 rounded to the nearest 10?
60
What is 2.49 rounded to one decimal place?
2.5
Round 1117500 to the nearest 100000.
1100000
Round -0.2283 to 2 decimal places.
-0.23
Round 43890000 to the nearest 1000000.
44000000
What is -0.0046008 rounded to 4 dps?
-0.0046
Round 3.188 to 0 dps.
3
Round 304.7 to the nearest 100.
300
Round -0.02867 to three decimal places.
-0.029
What is -6137.4 rounded to the nearest 100?
-6100
Round -1853 to the nearest ten.
-1850
What is -12.228 rounded to 1 dp?
-12.2
Round -0.51224 to two decimal places.
-0.51
What is 841000 rounded to the nearest ten thousand?
840000
Round -9121 to the nearest one thousand.
-9000
Round -5.00313 to 1 dp.
-5
What is -1.32359 rounded to 1 dp?
-1.3
Round 10546 to the nearest 100.
10500
What is -481.2 rounded to the nearest ten?
-480
What is 0.0235 rounded to two dps?
0.02
Round -0.000011484 to 7 decimal places.
-0.0000115
What is -12.479 rounded to the nearest integer?
-12
Round -0.009 to 1 dp.
0
Round -39110000 to the nearest 1000000.
-39000000
What is 0.09419 rounded to three dps?
0.094
What is 0.0058927 rounded to three decimal places?
0.006
Round -0.17877 to 2 decimal places.
-0.18
What is 0.4854 rounded to the nearest integer?
0
What is 7806000 rounded to the nearest 100000?
7800000
What is 0.000012 rounded to four decimal places?
0
Round 3300 to the nearest 100.
3300
Round 1.8814 to two dps.
1.88
What is -0.044197 rounded to three decimal places?
-0.044
What is -0.002632 rounded to five decimal places?
-0.00263
What is -0.01107 rounded to three dps?
-0.011
Round -0.000101944 to 5 dps.
-0.0001
What is 0.1619 rounded to two decimal places?
0.16
What is 141.4 rounded to the nearest one hundred?
100
Round -0.000624 to four decimal places.
-0.0006
Round 696640 to the nearest 100000.
700000
What is 207610 rounded to the nearest ten thousand?
210000
Round -82700000 to the nearest 1000000.
-83000000
Round 132.27 to the nearest ten.
130
Round -186800 to the nearest 10000.
-190000
What is 3.32 rounded to the nearest integer?
3
Round 0.20126 to 3 dps.
0.201
Round 51315 to the nearest ten thousand.
50000
Round 2547 to the nearest one hundred.
2500
What is 0.00041409 rounded to five dps?
0.00041
What is 50.974 rounded to the nearest integer?
51
What is 817910 rounded to the nearest 100000?
800000
What is 0.7598 rounded to 1 dp?
0.8
Round -1881000 to the nearest 10000.
-1880000
What is -0.0633 rounded to three decimal places?
-0.063
Round -17.296 to the nearest integer.
-17
What is 0.0000005817 rounded to 7 dps?
0.0000006
Round 769200 to the nearest 100000.
800000
Round -57.666 to the nearest 10.
-60
Round 4230 to the nearest one thousand.
4000
Round 0.000314 to 4 decimal places.
0.0003
What is -4282 rounded to the nearest 100?
-4300
Round -2.928 to 1 dp.
-2.9
Round 240640000 to the nearest one million.
241000000
What is -2.0098 rounded to one dp?
-2
Round 0.00001837 to six decimal places.
0.000018
What is -0.1258 rounded to 1 dp?
-0.1
Round -551000 to the nearest 10000.
-550000
What is 1396.18 rounded to the nearest ten?
1400
Round 13195000 to the nearest one hundred thousand.
13200000
Round 58850 to the nearest one thousand.
59000
What is -0.000016887 rounded to six decimal places?
-0.000017
What is 0.000111815 rounded to six decimal places?
0.000112
Round -3294 to the nearest 1000.
-3000
Round -42540 to the nearest one thousand.
-43000
Round 10 to zero dps.
10
Round -7883600 to the nearest 1000000.
-8000000
What is 0.0000339 rounded to five dps?
0.00003
What is 0.00010078 rounded to 5 dps?
0.0001
What is 0.000059083 rounded to six decimal places?
0.000059
What is -3807 rounded to the nearest 1000?
-4000
What is 0.63208 rounded to one decimal | {
"pile_set_name": "DM Mathematics"
} |
common divisor of 13 and 3445?
13
What is the highest common factor of 8 and 454?
2
What is the highest common divisor of 21 and 567?
21
Calculate the greatest common factor of 2838 and 66.
66
Calculate the highest common factor of 2776 and 64.
8
Calculate the highest common factor of 135 and 1440.
45
Calculate the greatest common divisor of 52 and 13.
13
Calculate the greatest common divisor of 152 and 3496.
152
What is the highest common divisor of 18145 and 95?
95
What is the highest common divisor of 28149 and 33?
33
Calculate the highest common factor of 8652 and 5356.
412
What is the greatest common factor of 1106 and 14?
14
What is the greatest common factor of 38513 and 19?
19
Calculate the highest common divisor of 4 and 326.
2
Calculate the highest common divisor of 817 and 95.
19
Calculate the highest common factor of 30 and 50.
10
What is the greatest common divisor of 7 and 1883?
7
What is the highest common divisor of 4 and 260?
4
Calculate the greatest common factor of 56 and 35.
7
Calculate the highest common divisor of 387 and 129.
129
Calculate the greatest common divisor of 46 and 69.
23
Calculate the greatest common divisor of 1332 and 261.
9
Calculate the greatest common divisor of 225 and 55.
5
What is the highest common divisor of 7 and 6741?
7
What is the highest common divisor of 3 and 393?
3
What is the greatest common divisor of 3006 and 18?
18
What is the highest common factor of 100 and 80?
20
Calculate the greatest common divisor of 650 and 78.
26
What is the greatest common factor of 984 and 48?
24
What is the highest common factor of 4773 and 129?
129
What is the greatest common divisor of 12 and 6?
6
Calculate the greatest common factor of 135 and 19485.
45
What is the greatest common factor of 84 and 6608?
28
What is the greatest common factor of 95 and 38?
19
Calculate the greatest common divisor of 123 and 5289.
123
Calculate the greatest common factor of 42 and 238.
14
What is the highest common factor of 188 and 5734?
94
What is the highest common factor of 66 and 110?
22
What is the greatest common factor of 10027 and 37?
37
What is the highest common factor of 1855 and 106?
53
What is the highest common divisor of 16 and 424?
8
Calculate the greatest common divisor of 24 and 3104.
8
What is the greatest common divisor of 198 and 66?
66
Calculate the greatest common factor of 119 and 73423.
119
Calculate the highest common factor of 297 and 44.
11
What is the greatest common divisor of 225 and 180?
45
What is the highest common factor of 928 and 58?
58
What is the highest common factor of 12 and 1212?
12
What is the greatest common factor of 319 and 145?
29
What is the highest common divisor of 29747 and 197?
197
What is the highest common divisor of 4074 and 42?
42
Calculate the greatest common factor of 10 and 640.
10
What is the greatest common factor of 140 and 360?
20
Calculate the highest common divisor of 84 and 48.
12
Calculate the greatest common divisor of 8425 and 50.
25
What is the highest common divisor of 90 and 120?
30
What is the greatest common factor of 2970 and 110?
110
Calculate the highest common factor of 66 and 231.
33
Calculate the highest common factor of 4838 and 164.
82
What is the greatest common divisor of 43 and 2?
1
Calculate the greatest common divisor of 5760 and 32.
32
What is the highest common factor of 2439 and 6?
3
Calculate the highest common factor of 552 and 216.
24
What is the highest common divisor of 35 and 805?
35
What is the highest common factor of 493 and 464?
29
Calculate the greatest common factor of 427 and 183.
61
Calculate the greatest common divisor of 2223 and 234.
117
Calculate the highest common divisor of 23 and 184.
23
Calculate the highest common divisor of 9 and 2367.
9
Calculate the greatest common factor of 16 and 26.
2
Calculate the greatest common divisor of 104 and 1378.
26
Calculate the greatest common factor of 84 and 20552.
28
Calculate the highest common divisor of 20 and 32.
4
Calculate the highest common divisor of 567 and 1575.
63
What is the highest common factor of 981 and 109?
109
What is the greatest common divisor of 1220 and 60?
20
What is the greatest common divisor of 276 and 12?
12
Calculate the highest common factor of 14 and 4382.
14
Calculate the highest common divisor of 725 and 100.
25
What is the highest common divisor of 588 and 6?
6
Calculate the highest common divisor of 221 and 391.
17
What is the highest common divisor of 23803 and 26?
13
Calculate the highest common divisor of 4203 and 18.
9
Calculate the highest common divisor of 303 and 1919.
101
Calculate the greatest common divisor of 14 and 126.
14
Calculate the greatest common divisor of 48 and 60.
12
Calculate the highest common factor of 80 and 40.
40
What is the greatest common factor of 27 and 1971?
27
Calculate the greatest common divisor of 1881 and 99.
99
Calculate the highest common divisor of 848 and 28.
4
Calculate the greatest common factor of 7 and 301.
7
What is the greatest common divisor of 925 and 37?
37
Calculate the greatest common divisor of 7990 and 340.
170
Calculate the highest common factor of 137 and 42881.
137
What is the highest common factor of 93 and 1147?
31
What is the greatest common divisor of 16 and 24?
8
What is the greatest common factor of 1131 and 87?
87
What is the highest common factor of 7 and 448?
7
What is the highest common factor of 11 and 3?
1
Calculate the greatest common factor of 440 and 55.
55
What is the greatest common factor of 112 and 70?
14
Calculate the greatest common factor of 468 and 144.
36
Calculate the highest common divisor of 37 and 1110.
37
Calculate the highest common factor of 944 and 413.
59
Calculate the greatest common factor of 1872 and 720.
144
What is the highest common divisor of 62 and 24118?
62
Calculate the greatest common divisor of 6713 and 137.
137
Calculate the greatest common divisor of 42 and 28.
14
Calculate the highest common divisor of 572 and 1300.
52
Calculate the greatest common divisor of 92 and 161.
23
What is the greatest common factor of 153 and 36?
9
What is the highest common factor of 13 and 2197?
13
What is the greatest common factor of 2047 and 1104?
23
What is the highest common factor of 158 and 2291?
79
Calculate the highest common factor of 364 and 156.
52
Calculate the greatest common divisor of 14 and 8.
2
What is the greatest common divisor of 200 and 75?
25
Calculate the greatest common divisor of 13 and 871.
13
What is the greatest common factor of 286 and 624?
26
Calculate the greatest common factor of 17374 and 7.
7
Calculate the greatest common factor of 19428 and 12.
12
Calculate the greatest common divisor of 78 and 222.
6
What is the greatest common factor of 15 and 3585?
15
What is the highest common factor of 2132 and 884?
52
What is the greatest common divisor of 648 and 600?
24
Calculate the greatest common factor of 1269 and 27.
27
Calculate the greatest common divisor of 1288 and 184.
184
What is the highest common divisor of 46793 and 73?
73
What is the greatest common divisor of 72 and 240?
24
Calculate the greatest common divisor of 36 and 414.
18
What is the highest common divisor of 580 and 40?
20
What is the greatest common divisor of 1426 and 558?
62
Calculate the greatest common factor of 1472 and 192.
64
What is the greatest common divisor of 450 and 22650?
150
Calculate the highest common divisor of 1419 and 903.
129
What is the highest common divisor of 138566 and 158?
158
What is the greatest common factor of 112 and 7?
7
What is the greatest common divisor of 47424 and 152?
152
What is the greatest common divisor of 5161 and 39?
13
What is the greatest common factor of 299 and 104?
13
Calculate the greatest common divisor of 95 and 15.
5
What is the greatest common divisor of 21 and 3801?
21
What is the greatest common divisor of 110 and 100?
10
What is the greatest common divisor of 129 and 27047?
43
What is the highest common factor of 441 and 49?
49
What is the highest common divisor of 198 and 576?
18
Calculate the highest common divisor of 1274 and 117.
13
Calculate the highest common factor of 1785 and 340.
85
What is the greatest common factor of 27 and 1422?
9
Calculate the highest common factor of 29 and 4553.
29
W | {
"pile_set_name": "DM Mathematics"
} |
o the nearest integer?
22
What is 36193826 to the power of 1/2, to the nearest integer?
6016
What is the square root of 340040612 to the nearest integer?
18440
What is 113434369 to the power of 1/3, to the nearest integer?
484
What is 20588221 to the power of 1/4, to the nearest integer?
67
What is the square root of 59051047 to the nearest integer?
7684
What is 83129506 to the power of 1/3, to the nearest integer?
436
What is 2562856821 to the power of 1/5, to the nearest integer?
76
What is the third root of 71359246 to the nearest integer?
415
What is the sixth root of 352469586 to the nearest integer?
27
What is the fourth root of 149718422 to the nearest integer?
111
What is 3609913414 to the power of 1/2, to the nearest integer?
60083
What is the seventh root of 1140987567 to the nearest integer?
20
What is 445857888 to the power of 1/3, to the nearest integer?
764
What is the third root of 30326290 to the nearest integer?
312
What is 262998667 to the power of 1/2, to the nearest integer?
16217
What is the tenth root of 289024098 to the nearest integer?
7
What is the cube root of 5443962 to the nearest integer?
176
What is 1646039787 to the power of 1/2, to the nearest integer?
40571
What is the tenth root of 12100276 to the nearest integer?
5
What is 315303242 to the power of 1/5, to the nearest integer?
50
What is the fourth root of 239983083 to the nearest integer?
124
What is the third root of 553841640 to the nearest integer?
821
What is 22063722 to the power of 1/4, to the nearest integer?
69
What is 4713369 to the power of 1/3, to the nearest integer?
168
What is 65594940 to the power of 1/7, to the nearest integer?
13
What is the cube root of 13568306 to the nearest integer?
239
What is 139666524 to the power of 1/5, to the nearest integer?
43
What is 12955227 to the power of 1/2, to the nearest integer?
3599
What is 752181151 to the power of 1/4, to the nearest integer?
166
What is the fourth root of 68131786 to the nearest integer?
91
What is the square root of 7496607664 to the nearest integer?
86583
What is the fourth root of 239116065 to the nearest integer?
124
What is 103429546 to the power of 1/6, to the nearest integer?
22
What is the cube root of 484804897 to the nearest integer?
786
What is 373692372 to the power of 1/2, to the nearest integer?
19331
What is 30500595 to the power of 1/3, to the nearest integer?
312
What is 276590948 to the power of 1/9, to the nearest integer?
9
What is the cube root of 54775618 to the nearest integer?
380
What is the square root of 37515922 to the nearest integer?
6125
What is the fourth root of 30873362 to the nearest integer?
75
What is the cube root of 18666930 to the nearest integer?
265
What is the square root of 528195540 to the nearest integer?
22983
What is the seventh root of 1012207288 to the nearest integer?
19
What is 2051353257 to the power of 1/5, to the nearest integer?
73
What is the seventh root of 730479484 to the nearest integer?
18
What is the square root of 58230854 to the nearest integer?
7631
What is 850123347 to the power of 1/8, to the nearest integer?
13
What is the cube root of 190597444 to the nearest integer?
575
What is the third root of 274112744 to the nearest integer?
650
What is the square root of 973536598 to the nearest integer?
31202
What is the fifth root of 57233478 to the nearest integer?
36
What is the square root of 19751592 to the nearest integer?
4444
What is the square root of 1026875081 to the nearest integer?
32045
What is the third root of 9618002 to the nearest integer?
213
What is 374740586 to the power of 1/7, to the nearest integer?
17
What is 24919139 to the power of 1/2, to the nearest integer?
4992
What is the square root of 2345238301 to the nearest integer?
48428
What is the square root of 84674873 to the nearest integer?
9202
What is the square root of 1291367383 to the nearest integer?
35936
What is the third root of 455261098 to the nearest integer?
769
What is the third root of 4054740920 to the nearest integer?
1595
What is 1000062512 to the power of 1/3, to the nearest integer?
1000
What is the square root of 4808129235 to the nearest integer?
69341
What is 50661993 to the power of 1/2, to the nearest integer?
7118
What is 1798256738 to the power of 1/9, to the nearest integer?
11
What is the cube root of 5268207 to the nearest integer?
174
What is 49576551 to the power of 1/2, to the nearest integer?
7041
What is 1811710735 to the power of 1/9, to the nearest integer?
11
What is the square root of 825160199 to the nearest integer?
28726
What is 688007591 to the power of 1/10, to the nearest integer?
8
What is the sixth root of 1055838686 to the nearest integer?
32
What is 19923522 to the power of 1/6, to the nearest integer?
16
What is the square root of 36232592 to the nearest integer?
6019
What is 32645568 to the power of 1/3, to the nearest integer?
320
What is 8112718635 to the power of 1/2, to the nearest integer?
90071
What is the cube root of 93376092 to the nearest integer?
454
What is 288239686 to the power of 1/2, to the nearest integer?
16978
What is 266228236 to the power of 1/9, to the nearest integer?
9
What is 3979643858 to the power of 1/8, to the nearest integer?
16
What is 390330833 to the power of 1/2, to the nearest integer?
19757
What is the third root of 3152212266 to the nearest integer?
1466
What is 269951183 to the power of 1/3, to the nearest integer?
646
What is 2670956732 to the power of 1/3, to the nearest integer?
1387
What is 5802298545 to the power of 1/3, to the nearest integer?
1797
What is 36483814 to the power of 1/3, to the nearest integer?
332
What is the tenth root of 1030536234 to the nearest integer?
8
What is 81630348 to the power of 1/7, to the nearest integer?
13
What is the tenth root of 1918573052 to the nearest integer?
8
What is 1432851931 to the power of 1/6, to the nearest integer?
34
What is the ninth root of 31191939 to the nearest integer?
7
What is the third root of 977502029 to the nearest integer?
992
What is the tenth root of 20479880 to the nearest integer?
5
What is 276023818 to the power of 1/10, to the nearest integer?
7
What is 125299682 to the power of 1/2, to the nearest integer?
11194
What is 1049996435 to the power of 1/3, to the nearest integer?
1016
What is 6355706770 to the power of 1/2, to the nearest integer?
79723
What is the square root of 5937400319 to the nearest integer?
77055
What is the square root of 3006692485 to the nearest integer?
54833
What is the square root of 132485808 to the nearest integer?
11510
What is the fourth root of 922346333 to the nearest integer?
174
What is the third root of 3363450821 to the nearest integer?
1498
What is 233435318 to the power of 1/7, to the nearest integer?
16
What is the third root of 60870461 to the nearest integer?
393
What is 430275678 to the power of 1/5, to the nearest integer?
53
What is the square root of 1014107382 to the nearest integer?
31845
What is the cube root of 1700404996 to the nearest integer?
1194
What is 869077437 to the power of 1/7, to the nearest integer?
19
What is 793374796 to the power of 1/3, to the nearest integer?
926
What is the eighth root of 44471719 to the nearest integer?
9
What is 59826816 to the power of 1/7, to the nearest integer?
13
What is 113624598 to the power of 1/8, to the nearest integer?
10
What is the eighth root of 3247606430 to the nearest integer?
15
What is the cube root of 9550561 to the nearest integer?
212
What is the eighth root of 67980721 to the nearest integer?
10
What is the ninth root of 54862740 to the nearest integer?
7
What is 536606947 to the power of 1/9, to the nearest integer?
9
What is the square root of 68203159 to the nearest integer?
8259
What is the eighth root of 23658750 to the nearest integer?
8
What is the tenth root of 29503840 to the nearest integer?
6
What is 2103522306 to the power of 1/2, to the nearest integer?
45864
What is the fifth root of 8234655 to the nearest integer?
24
What is 19274187 to the power of 1/10, to the nearest integer?
5
What is the tenth root of 250244719 to the nearest integer?
7
What is 244420117 to the power of 1/9, to the nearest integer?
9
What is the cube root of 738932854 to the nearest inte | {
"pile_set_name": "DM Mathematics"
} |
v(i) = 3*i - 1232. Let f(b) = 7*b - 2774. Let z(o) = -4*f(o) + 9*v(o). Let t(k) = -k**3 + 7*k**2 - 4*k - 1. Let w be t(6). Give z(w).
-3
Suppose 16 = 2*w + 2*k, k + 14 - 4 = 5*w. Suppose -13*t + 21 = -18. Let b(x) = -t + 3*x - 18*x**2 + 7 + 17*x**2. Give b(w).
4
Let l(g) = -9*g**2 - 2*g. Let w(t) be the first derivative of -t**4/4 + 49*t**3/3 - 47*t**2/2 - 46*t + 64. Let o be w(48). What is l(o)?
-40
Let n(w) = w**2 - 18*w + 40. Let r(y) = -2*y**3 + 11*y**2 + 16*y - 44. Let o be r(6). Determine n(o).
8
Let r(z) = 27 + 2*z**2 - 8 - 22 + 1 + z**2. Let s be (-3)/2*(-16)/6. Let d = 6 - s. What is r(d)?
10
Let t(f) be the first derivative of 5*f**2 - 4*f + 1555. What is t(-1)?
-14
Let b(p) = 8*p**3 - p**2 - 3*p + 3. Let t(c) = 17*c + 869. Let d be t(-51). Calculate b(d).
57
Let p be (15/12)/(1/4). Let g(t) = 5*t**3 + 15*t**2 + 23*t - 17. Let x(s) = -2*s**3 - 7*s**2 - 11*s + 8. Let a(w) = 3*g(w) + 7*x(w). Give a(p).
-10
Let s(z) be the first derivative of 2*z**2 + 31*z - 2634. Calculate s(-7).
3
Let p = 1 + 15. Suppose -p*c = -20*c - 4. Let j be (-28)/8*c/((-3)/6). Let o(a) = a**2 + 2*a - 8. Give o(j).
27
Let y = -3 + -7. Let n = -5 - y. Let p(f) = -8*f**3 - 45*f**2 + 88*f + 2. Let u(x) = -3*x**3 - 16*x**2 + 32*x + 1. Let v(j) = 4*p(j) - 11*u(j). Determine v(n).
22
Let k(h) = -13*h**3 + h**2 + 6*h + 6. Let w be k(-1). Let x(b) = -10 - w + 9*b - 4*b - 6*b + 6. Give x(-9).
-9
Let h(p) = -616*p + 651. Let t(z) = -20*z + 21. Let l(x) = -2*h(x) + 63*t(x). Let b be l(1). Let o(q) = q**2 + 6*q - 4. What is o(b)?
3
Suppose 3*l + l - 4*g = -164, l - 3*g + 49 = 0. Let m = -35 - l. Let d(n) = -m*n + 2 - 2*n + 3*n + 9. Calculate d(9).
2
Let j(l) = -91*l. Let n(k) = -32*k. Let z(v) = 6*j(v) - 17*n(v). Let d be 0 - 0/2 - 1. What is z(d)?
2
Let j(o) = 4*o - 37. Let s(b) = -2*b + 19. Let q(y) = 6*j(y) + 13*s(y). Calculate q(11).
3
Let d = 28325 - 28328. Let h(o) = 16*o + 38. Give h(d).
-10
Let p(o) = -12*o**2 + 2*o + 92. Let a be p(-2). Let r(n) = 2*n**3 - 78*n**2 - 83*n + 124. What is r(a)?
4
Let n(c) be the third derivative of -c**6/30 + c**5/12 + c**4/8 + 5*c**3/6 - 74*c**2. Let s(z) = -z**3 + z**2 + z + 1. Let u(i) = n(i) - 3*s(i). Give u(3).
-7
Let x(l) = 5*l**2 + 3*l + 22. Suppose 5*j + 30 = -4*a, -5*a + 1042*j - 1045*j - 31 = 0. What is x(a)?
132
Let x(w) = w**2 + 6*w - 3. Let h(d) = d**2 + 14*d + 42. Let g be h(-10). Let n be g/(-4)*(0 - 52). Suppose -33 = c - n. Calculate x(c).
4
Let n(u) = -u**2 - 14*u + 95. Suppose 22*s - 988 + 1406 = 0. Give n(s).
0
Let g(s) be the second derivative of -s**5/20 + 3*s**4/4 - 5*s**3/6 - 9*s**2/2 - 1042*s - 1. Calculate g(7).
54
Let s(c) = c**3 - 6*c**2 + 8*c - 6. Let y = -12 + 24. Let h be 15*(4/y - 0). Let d = 0 + h. Calculate s(d).
9
Let c(y) = -15*y**2 - 2*y + 1. Suppose 17 = 5*s - 4*w, 384*w - 3 = 385*w. Calculate c(s).
-16
Let f(h) be the second derivative of -h**5/20 - h**4 + h**3/3 + 25*h**2/2 - 146*h - 4. Give f(-12).
1
Suppose -7*q = -11*q + 16. Let l be q/(-14) - 5/7. Let k(n) be the second derivative of 4*n**5/5 - n**3/3 - n**2/2 + n - 139. Calculate k(l).
-15
Let r(a) be the first derivative of 3*a**2/2 + 3*a - 2584. What is r(1)?
6
Let g(y) = y**3 + 5*y**2 + 6*y + 5. Let x(s) = s**3 + 7*s**2 - s - 4. Let r be x(-7). Let f be 17/4 + r/(-12). Suppose 0 = 10*j - 9*j + f. Give g(j).
-3
Suppose s - 4*s = -9. Let m(c) = -3*c - c**2 + c**s + 3*c. Let u(v) = 244*v - 1464. Let b be u(6). Determine m(b).
0
Let p(u) = u**3 + 12*u**2 - 13*u + 1. Let b be (-17550)/1365 + (-1)/7. Determine p(b).
1
Let j(b) = b**2 + 4*b - 11. Let u = 111 - 112. Let d be (u/3)/((-27)/(-405)). Determine j(d).
-6
Let c(t) = 9*t + 0 + 2 + 2 + t**2 + 2 + 3. Let f(l) = l**2 + 4*l - 8. Let a be f(-4). Give c(a).
1
Let v(t) = -16 - 11*t - 24 - 14 + 75. Give v(7).
-56
Let z be (0 - (-6)/(-7))*-7. Let q(v) be the second derivative of -v**4/12 + v**3 - v**2 - 10295*v. What is q(z)?
-2
Let u(h) = -7*h**2 - 7*h - 8. Suppose 0 = 5*p - 2*w + 12, 3*p - 3*w - 24 + 33 = 0. Calculate u(p).
-22
Let p(u) be the third derivative of -u**5/60 - 5*u**4/24 + u**3/6 + 8*u**2. Suppose -10*j = -11*j + 21. Let b = 17 - j. Calculate p(b).
5
Let z(j) be the first derivative of j**4/4 + 3*j**3 + j**2 + 15*j + 12252. Determine z(-9).
-3
Let c(x) = x**3 + 8*x**2 + 7*x - 25. Let l(h) = 2*h**3 + 16*h**2 + 15*h - 50. Let b(g) = -5*c(g) + 3*l(g). Give b(-5).
0
Let j = -46 + 42. Let d be -4 + (-4 - j) - 2. Let b(c) be the second derivative of c**3/6 + 2*c**2 + 12*c. What is b(d)?
-2
Suppose -8 - 4 = -p. Let c(w) = w + p - 7 - 6. Determine c(-7).
-8
Let n(c) = 40*c + 74. Let r(b) = 21*b + 39. Let i(v) = 2*n(v) - 5*r(v). Determine i(-2).
3
Let w(b) = b - 4. Let p = -52 + 61. Let r(i) = -3*i + 19. Let u be r(p). Let c = 15 + u. What is w(c)?
3
Let k(p) = -65*p + 142. Let s(u) = 14*u - 35. Let v(r) = -2*k(r) - 9*s(r). Give v(-6).
7
Let u(b) = 2*b**3 + 9*b**2 + 3*b + 1. Let a be u(-4). Let l(y) = 2*y + 3. Let i be l(a). Let g(w) = 3 + 5 + w - i + 6. Give g(2).
3
Let f = -30 - -35. Suppose 0 = -f*c + 9 + 6. Let x(m) = -7*m**c + 2*m**2 - m**3 - m + 2*m**3. Determine x(1).
-5
Let t(v) = v**3 + 11*v**2 - 11*v + 14. Let b be t(-12). Suppose 67 = b*y + 59. Let u(p) = 2*p + 5. Determine u(y).
13
Let b(v) = -v**2 - 4*v + 1. Let u be (-4 + ((-66)/(-15))/1)*20. Let x(q) = -15*q + 63. Let n be x(u). Let i be ((-10)/3)/((-38)/n). What is b(i)?
-4
Suppose -28*c + 32*c - 4*y = 32, 5*c - 48 = -3*y. Let z(x) = 82 + x + c*x**2 - 83 + x. Determine z(1).
10
Let w(m) = -6 + 1 - m - 4. Suppose -446*a + 851 = 120*a - 4809. Give w(a).
-19
Let q(x) be the second derivative of x**8/6720 - x**7/504 - x**6/720 + x**5/30 + 5*x**4/12 + 2*x + 11. Let b(a) be the third derivative of q(a). What is b(5)?
-1
Let f be ((-720)/(-64) + -12)*4. Let m(u) = -7*u - 13. Calculate m(f).
8
Let p(i) = 56*i + 41. Let s(t) = -21*t - 14. Let a(w) = 4*p(w) + 11*s(w). What is a(3)?
-11
Let t(a) = -a + 11. Let g(z) be the second derivative of -z**2 + 49*z - 4. Let r(l) = 6*g(l) + t(l). Let n(v) = -v + 5. Let w be n(3). Calculate r(w).
-3
Let s(q) = 358*q + 2166. Let y be s(-6). Let p(n) = 3*n - 72. Calculate p(y).
-18
Let a(g) = g**2 + 6*g + 5. Suppose 0 = r + 8 - 51. Let j = r + -26. Let x = j + -23. Determine a(x).
5
Suppose s - 46 = -4*h, -h + 0*s + 22 = -5*s. Let g(q) = q + h*q**2 + 2*q**2 - 1 - 5*q**2 + 2*q - 6*q**2. Determine g(2).
17
Let x(g) be the first derivative of -g**3/3 + 7*g**2/2 + 11*g + 202. What is x(10)?
-19
Suppose r - 6 = 4*y, 5*r + 7*y - 2*y + 20 = 0. Let m be r/(-7) - (-600)/105. Let x(z) = -2*z + 3. Calculate x(m).
-9
Suppose -260*a = -246*a - 126. Let q(y) = -y**3 + 22*y**2 + 0 + 0 - 10*y - 12*y**2. Give q(a).
-9
Let o(j) = -j**3 - 8*j**2 - 10*j - 13. Let g be ((-9)/(-81)*-15)/((-15)/(-54)). What is o(g)?
-25
Let o(a) = 4*a**2 + 2*a - 1. Let f = -32 - -28. Let r be f/(-18) + -10*(-6)/(-27). Let q be 4/r*2 + 1*5. Give o(q).
5
Let g(q) = q**3 - 18*q**2 - 41*q + 28. Suppose 130 = 8*r - 21*r + 390. What is g(r)?
8
Let y(z) = -21*z**2 - 5*z + 31*z**2 - 8 - 9*z. Let b(h) = h**2 - h - 1. Let q(s) = -8*b(s) + y(s). Calculate q(3).
0
Let u(w) = w**2 - 8*w + 3. Let r(d) = d + 1. Let b(n) = 6*r(n) - u(n). Let q be b(14). Let x(t) = -3*t - 8 + 9 - t**3 + 3 + 6*t**2. Determine x(q).
22
Suppose 1 = 5*b - 29. Let x(p) = -25*p - 23. Let z be x(-1). Let y(c) = -39*c + 2*c**z + b*c**2 + 38*c. Calculate y(-1).
9
Suppose 4 = -10*v + 4. Suppose v = -9*k + 2*k + 7. Let l(z) = 22*z**3 + z**2 - z + 1. Give l(k).
23
Let o = 1 - 1. Let z(r) = -86683 - 86682 - 86686 - 86680 + 346731 + r. Give z(o).
0
Let w(b) = b + 8. Let s be w(-4). Suppose -7*m = -11 + s. Let k(c) = 17*c**3 - c**2 + c - 1. Give k(m).
16
Let r(h) = 2*h**2 + h. Let w(m) = -3*m**2 - 2*m - 2. Let j(o) = -3*r(o) - w(o). Suppose -17*k = k + 54. Determine j(k).
-22
Suppose -3*q + 4*t + 3 = 0, 4*q - 5*t + 3 = 8. Suppose q*c + 240 = -35*c. Let n(b) be the second derivative of b**3/3 - b**2 - b. Give n(c).
-14
Let v(s) be the second derivative of s**7/315 - s**6/180 - s**5/60 - s**4/12 + 63*s**2/2 + 30*s. Let j(x) be the third derivative of v(x). Calculate j(-1).
10
Let b(q) = -4*q + 27. Let i = -536 + 543. Let a be b(i). Let v(f) = -18*f**2 - 1. Give v(a).
-19
Let w(f) be the third derivative of -3*f**4/8 + 2*f**3/3 + 334*f**2. Let a be (0 + 1)/(7/28). What is w(a)?
-32
| {
"pile_set_name": "DM Mathematics"
} |
000?
6000000
Let t(r) = -1795*r - 55. Let v be t(-9). What is v rounded to the nearest one thousand?
16000
Let y = 5.05 - 5. Let f = -0.05000001 + y. Round f to seven decimal places.
0
Let z = 38.1 + -5.1. Let b = -33.29 + z. Let t = b + 0.01. Round t to 1 decimal place.
-0.3
Let c = -0.13 - 0.11. Let n = c - -0.06. What is n rounded to one decimal place?
-0.2
Suppose x = -4*c + 11332096 + 627686, 4*x = c - 2989937. Let o = 1719945 - c. What is o rounded to the nearest 100000?
-1300000
Let l be 9/(-6) + (-79)/(-2). Let n be l/8 + (-6)/(-24). Suppose -q = n*i - 36001, 14403 = 2*i - 0*q + 3*q. What is i rounded to the nearest 1000?
7000
Let t = -3.1 - 47.9. Let g = 50.41 + t. Round g to 1 decimal place.
-0.6
Let c = 7.38 + -7. Let h = -18.38 + c. Let q = 17.99974 + h. What is q rounded to 4 dps?
-0.0003
Let d be 4 - (2 - (0 - -2)). Suppose 2*k - 3*k = -62224. Suppose 5*c + f - 427781 - k = 0, -3*f - 391985 = -d*c. What is c rounded to the nearest 10000?
100000
Let t = 0.23 + -0.556. Let l = 141.326 + t. Let i = l + -141.00122. What is i rounded to four dps?
-0.0012
Suppose 3*h + 2*h - 3*w = 14100979, -4*h + 2*w = -11280784. Suppose 5*l = h + 3979803. What is l rounded to the nearest 100000?
1400000
Let v be 12*50/(-4) + 3. Let u = v - -1727. Round u to the nearest 100.
1600
Let b(a) = 2218749*a**2 + 5*a - 4. Let u be b(4). What is u rounded to the nearest 1000000?
36000000
Let g = 0.1 + 0.4. Let j = 0.2 - g. Let m = j - -0.299975. What is m rounded to five decimal places?
-0.00003
Let z = 24.9976 - 25. Round z to 3 decimal places.
-0.002
Let x = 77.873 + 0.127. Let d = -566650 + 566727.9842. Let l = d - x. Round l to 3 decimal places.
-0.016
Let g be ((-360)/54)/((-2)/1980). What is g rounded to the nearest 1000?
7000
Let f = 0.35153 - 0.353. What is f rounded to four dps?
-0.0015
Let z = 0.15 - 0.2. Let p = 0.12657 - 0.176552. Let f = z - p. What is f rounded to 5 decimal places?
-0.00002
Let l = 302.7648 + -303.4647955. Let a = -0.03 + 0.73. Let u = l + a. What is u rounded to six dps?
0.000005
Let k = -0.074 + 0.073729. Round k to 5 decimal places.
-0.00027
Let m = 423.3 + -444. Let c = -17.1 + -4.9. Let i = c - m. What is i rounded to the nearest integer?
-1
Let l = 1421.82 - 1401. Let t = -31 - -11. Let y = t + l. What is y rounded to 1 decimal place?
0.8
Let g be 3*(-4 + -2 + 5). Round g to the nearest integer.
-3
Let y = 0.06 - 3.36. What is y rounded to the nearest integer?
-3
Let h = -66.84 - -68. Let k = -1.15999951 + h. What is k rounded to seven dps?
0.0000005
Let g = 2.88 - 1.2. Let p = 334.62 - 329. Let h = g + p. What is h rounded to the nearest integer?
7
Let i = -1455130.999993 - -1455141. Let k = i - 10. What is k rounded to 6 dps?
0.000007
Let b = 0.01 + -4.01. Let k = 5 - b. Let d = -8.84 + k. Round d to 1 dp.
0.2
Let j = -82.6 - -73. Round j to the nearest integer.
-10
Let w be (1 - 0)*-25*-1. Round w to the nearest ten.
30
Let h = 71 + -149. Let m = h - -78.00000039. Round m to 7 dps.
0.0000004
Let x = -12.8 + 12.785. Round x to 3 dps.
-0.015
Let m = 0.163 + -0.325. Let b = 0.18 + m. Let x = 0.0179934 - b. What is x rounded to six decimal places?
-0.000007
Let b = 2867459 - -9132541. What is b rounded to the nearest one million?
12000000
Let n = 36.16 - 37. Let a = -7.46 + n. What is a rounded to the nearest integer?
-8
Let x = -0.65 + 0.586. What is x rounded to two decimal places?
-0.06
Let v = 73.9967 + -74. Round v to three dps.
-0.003
Let s = 0.71 + 0.083. Let v = s + -0.8. Round v to two dps.
-0.01
Let p = -0.12548 + 0.125. Round p to 3 decimal places.
0
Let n(x) = -x**3 + x**2 + x - 3. Let k be n(0). Let w be (k/9)/((-2)/12). Suppose t + 207 = w*c - 428, 2*t = -5*c + 1610. What is c rounded to the nearest 100?
300
Let o = -2835.494054 + 2829.394. Let b = 18.9 - 25. Let y = o - b. What is y rounded to 5 dps?
-0.00005
Let m = 4.2 - 4.19. Round m to 3 decimal places.
0.01
Let f = -0.00600628 + 0.006. What is f rounded to seven decimal places?
-0.0000063
Let x = 141 - -42. Let i = -316 + x. Round i to the nearest 10.
-130
Let p(w) = 5626*w**3 - w**2 - w - 2. Let i be p(2). Suppose -6*q = -5*q - i. What is q rounded to the nearest ten thousand?
50000
Let d = -15.18 - -5.09. Let c = d - 0.41. Round c to zero decimal places.
-11
Let p be (-2)/(1/5*-2). Suppose 3*s - 6 = 0, p*s = d + 8 - 3. Suppose 2*u + 0*u + 5*z = 1019975, d*u + 4*z - 2549980 = 0. Round u to the nearest 100000.
500000
Let b = 0.7 - 1.103. Let n = b - 0.107. Round n to one decimal place.
-0.5
Let j = -1277636404924096 + 1277636543657071.19999914. Let i = 138732977 - j. Let u = i + -1.8. What is u rounded to seven decimal places?
0.0000009
Let o = -1.2 + 1. Let m = o + -2.8. Let v = m + 2.999956. What is v rounded to five decimal places?
-0.00004
Let z = -122.4 - 111.5. Let j = z - 0.1. Let r = j - -223.3. What is r rounded to 0 decimal places?
-11
Let a = -276.45548 + 276.61547971. Let b = 0.16 - a. Round b to seven dps.
0.0000003
Let p = 0.887 - 0.85. Let m = p - 0.04. Round m to 2 dps.
0
Let g(w) = 6502*w + 4. Let l be g(-2). What is l rounded to the nearest one thousand?
-13000
Let n = -12.37774 - -14.0196. Let r = -1.64 + n. Round r to four decimal places.
0.0019
Let d be (-28)/8*(-100)/(-6)*360. What is d rounded to the nearest 1000?
-21000
Let m(x) = 3*x**2 + 2*x - 8. Let a be m(6). Let o = -88 - a. What is o rounded to the nearest 1000?
0
Let i = -4.298527 - -4.51265. Let t = -0.214 + i. Round t to 5 decimal places.
0.00012
Let z(m) = 4*m**2 - 1. Suppose -4*l - 3*x = -8, 2*l - l - 4*x = 2. Suppose -5*j = -3*j + l. Let v be z(j). What is v rounded to the nearest 10?
0
Let a = 218 - 401. What is a rounded to the nearest 10?
-180
Let s = -3 + 1. Let p be s/(2*3/(-189)). What is p rounded to the nearest 10?
60
Let f(z) = -64286*z - 2. Let k be f(-7). What is k rounded to the nearest 100000?
500000
Let t = -23 + 23.013. Let b = -22.987 - t. Let r = -25.8 - b. What is r rounded to the nearest integer?
-3
Suppose -y + k = 605, -4*y + 3*k = 2037 + 378. Round y to the nearest one thousand.
-1000
Let d = -83181 + 83231.061. Let l = -40 - -90. Let b = l - d. Round b to 2 dps.
-0.06
Suppose -6*r - 32 = -2*r. Let p = r - -12. Suppose p*v = -v - 1000000. What is v rounded to the nearest one million?
0
Let o = -11 + 55. Let m = -44.086 + o. Round m to two dps.
-0.09
Let b = -5 - -4.8. Let l = -0.18 + b. What is l rounded to one decimal place?
-0.4
Let h(x) = 28890*x - 10. Let j = -22 - -31. Let w be h(j). What is w rounded to the nearest 100000?
300000
Let v = 4.11 - 0.11. Let a = 3.7683059 + 0.2315681. Let i = a - v. What is i rounded to 5 decimal places?
-0.00013
Suppose 2*r = 3*x - 0*r - 44, 4*x = 3*r + 59. Let a be (-6 - -3)/(1/x). What is a rounded to the nearest 10?
-40
Let r be 1 + 7 - (4 - 1). Suppose -2*z = -6, -4*b + 5*z - 21 = -r*b. Round b to the nearest 10.
10
Let d = -2.13 - -2.0332. Let z = d - -0.197. Let x = z - 0.1. Round x to four decimal places.
0.0002
Let q(o) be the third derivative of -1833333*o**4/8 + o**3/6 - 4*o**2. Let a be q(-1). What is a rounded to the nearest 1000000?
6000000
Suppose -7 = 3*h + 8. Let v = -7 - h. Let r be (1 + v)*(-5 + 2). What is r rounded to the nearest ten?
0
Let b = 3 + -2.999974. What is b rounded to 5 dps?
0.00003
Let p = -0.7 + -23.3. Let n = p - -23.932. What is n rounded to 2 dps?
-0.07
Suppose 3*d = -z + 5, 4*d = 3*z + 21 + 29. Let o be (-555009)/(-15) - (-6)/z. Round o to the nearest ten thousand.
40000
Let p = 8.08 + -8. Let c = 0.080047 - p. What is c rounded to five decimal places?
0.00005
Let c = -54861.37082 + 54964.37. Let q = -103 + c. What is q rounded to four decimal places?
-0.0008
Let v = -0.2 - -0.1919. Round v to three decimal places.
-0.008
Suppose -3*z + 111997 = -4*a + 2*a, 3*a + 167999 = z. What is a rounded to the nearest 10000?
-60000
Let c be (-17)/(-34)*(1 + -1). Suppose -4*t + 0*z = 4*z + 10840008, t + 2*z + 2710004 = c. Round t to the nearest one hundred thousand.
-2700000
Let n(l) = 25138*l**3 + 4*l**2 + 7*l + 3. Let m be n(6). Let y = m + -11829997. Round y to the nearest one million.
-6000000
Let u(s) = s. Let i be u(6). Suppose 5*d = -i - 9, 3*d = 3*c - 8100009. Round c to the nearest one million.
3000000
Let i(u) = 1625002*u + 8. Let r be i(-4). Round r to the nearest one mi | {
"pile_set_name": "DM Mathematics"
} |
sqrt(176))**2 + -2 + -2)) + 0).
-16*sqrt(11) + 6348
Simplify (sqrt(108)/sqrt(225)*-4)/(3*2*sqrt(256)) + -2.
-2 - sqrt(3)/60
Simplify ((sqrt(136) - ((-1*sqrt(136) - sqrt(136)) + sqrt(136)))*3*-4)/(sqrt(88)/(1*sqrt(539))).
-168*sqrt(17)
Simplify (-2*sqrt(76)*-1 - 5*(sqrt(76) - -2*sqrt(76)))/(sqrt(144)*-2*4 + sqrt(144) - -1*2*sqrt(144)).
13*sqrt(19)/30
Simplify -6*(((sqrt(50) + sqrt(50) + 0 + -2)**2 - 4*(sqrt(8)/sqrt(4) - sqrt(2))**2*-6) + -5).
-1194 + 240*sqrt(2)
Simplify 1 + (-4 + (sqrt(720) + -1)**2)*-5 + (sqrt(720)*2*-2 - sqrt(720)*1*-1) + 4.
-3580 + 84*sqrt(5)
Simplify 5 + (3*(-2 + 2*sqrt(1216) - (-3*sqrt(1216) + -4)))**2 + 4.
1440*sqrt(19) + 273645
Simplify (-1*(sqrt(121)*1*5 - sqrt(121) - (sqrt(121) - (sqrt(121)*1 + sqrt(121) - sqrt(121))*6)))/((-1*(-1*sqrt(22) - sqrt(22)))/(sqrt(8)*-6)).
54*sqrt(11)
Simplify (-4*(-6*(sqrt(4032) + 5 + (sqrt(4032) - (sqrt(4032)*-1 + sqrt(4032)))) + 4 + 5 + -1*sqrt(4032)))**2.
209664*sqrt(7) + 10909584
Simplify (1*((-6*sqrt(468) + 5)*5 + (sqrt(468) - (sqrt(468)*-6 + sqrt(468))*-2) + -2 + 5))**2.
-13104*sqrt(13) + 712612
Simplify ((-4 + -2*sqrt(448)*3*2 + 1)*4 + 4)**2.
6144*sqrt(7) + 1032256
Simplify ((sqrt(84)/sqrt(3))**2 - (sqrt(7) + 0)*4) + -3 + -1*(sqrt(343) + -3).
-11*sqrt(7) + 28
Simplify (-4*(sqrt(88)*2 + sqrt(88)) - (sqrt(88) - -2*sqrt(88)*-3))/(3*(sqrt(80)/(sqrt(30)/sqrt(3)) + (-1*sqrt(392) - sqrt(8)))).
sqrt(11)/3
Simplify (-6*(-2*sqrt(117) + sqrt(117))*-6*1)/((sqrt(18) + -2*sqrt(882))/(sqrt(4)/sqrt(2)*4)).
144*sqrt(13)/13
Simplify -4 + 1 + 1 + (-4*(sqrt(55) - -6*sqrt(165)/sqrt(3) - sqrt(55))/sqrt(5))**2.
6334
Simplify (6*(1 + (2*sqrt(432) + -1 - (-5 + (sqrt(432)*-5 + sqrt(432) - sqrt(432))))*4))**2.
411264*sqrt(3) + 12203172
Simplify 3*((1 + (-4*sqrt(85)*2)/sqrt(5) + -1*sqrt(272)*-1*2)*-2)**2.
12
Simplify (sqrt(833)*2)**2 + 2 + 5 + 2 - (-4*sqrt(833)*2 + sqrt(833) - sqrt(833) - sqrt(833) - sqrt(833) - sqrt(833)*-3*4)**2.
9
Simplify 3 + (((sqrt(150)/sqrt(5) + sqrt(30))*-2)/((1*sqrt(70))/sqrt(7)) + (sqrt(147)/sqrt(7))/sqrt(7) + 0 + sqrt(6)/sqrt(2) + sqrt(3))**2.
6
Simplify ((sqrt(1470) + sqrt(1470) + -1*sqrt(1470)*1 + -1*sqrt(1470)*-6 + sqrt(1470))/(sqrt(490)*1 + sqrt(10) - sqrt(60)/sqrt(24)))**2*-5.
-12544/15
Simplify ((-1*(5*1*sqrt(77) + sqrt(77))*-4)/((sqrt(175) + sqrt(175) + -6*-2*sqrt(175) - sqrt(175))*-3))**2.
704/4225
Simplify (((sqrt(84) - (sqrt(84) + -1*sqrt(84))) + (sqrt(336)*3 - sqrt(21)))/(((sqrt(270) + sqrt(270) + sqrt(270)*3)*-2)/sqrt(10)))**2.
1183/900
Simplify ((-2*(sqrt(448) - (sqrt(448) - -5*(sqrt(448) + 4))) - (4 + sqrt(448) + -2 + 5))*1)**2.
4752*sqrt(7) + 37377
Simplify ((2*sqrt(378))/((sqrt(6) + sqrt(54))*2 - sqrt(6)))**2 + sqrt(7) + (1 + sqrt(7) + sqrt(28)/sqrt(4))**2 + -5*(sqrt(7)*2)**2 + 1 + 4.
-706/7 + 5*sqrt(7)
Simplify 5 + sqrt(2057) + -1 + sqrt(2057) + (sqrt(17) - (sqrt(17) + 0 + 5))*-6 - (-4 + sqrt(68) + 0)**2*3*-3.
-122*sqrt(17) + 790
Simplify (-3*-1*sqrt(336) + sqrt(336) + 4*(sqrt(336) - (sqrt(336) - -1*sqrt(336))))/(sqrt(70)/(sqrt(10) - (1*sqrt(1210) + sqrt(1210)))*-2) + 3.
3
Simplify (((sqrt(1377) + sqrt(1377) + -1 - sqrt(1377))*-1 + 2*sqrt(1377)*5 - (2*sqrt(85)*1)/(sqrt(10)/sqrt(2)*-1)) + 2)**2.
498*sqrt(17) + 117122
Simplify 0 + (-1 + -2*sqrt(13)*2 + 4 + -5 + sqrt(39)/sqrt(3) + sqrt(13) + -3 + 2)**2.
12*sqrt(13) + 61
Simplify 2*(-4 + (sqrt(312)/sqrt(6) + 5 - (4 + sqrt(1053) + 5)))**2.
224*sqrt(13) + 1402
Simplify (-3 + sqrt(972) + 2 + sqrt(972) + 6*-2*sqrt(972) + 2*sqrt(972)*2*1)**2.
216*sqrt(3) + 34993
Simplify (6*-5*(1*sqrt(66) + sqrt(66))*-1)/(4*sqrt(54)/sqrt(9) - 5*sqrt(486)).
-60*sqrt(11)/41
Simplify 3*(-1 + (sqrt(99) - (-1*sqrt(99)*1 + sqrt(99))) + -5 + sqrt(99)*2*4)**2.
-972*sqrt(11) + 24165
Simplify 2 + (6*sqrt(90)*3)/(sqrt(5) + 1*sqrt(500) - (sqrt(5) + sqrt(20)/sqrt(4))*6).
-54*sqrt(2) + 2
Simplify ((sqrt(567)*2 + (3*sqrt(77) + sqrt(77))/sqrt(11))**2 - (sqrt(147)/sqrt(3)*-5)/(sqrt(63)*3)) + 0.
5*sqrt(7)/9 + 3388
Simplify -5*(3*(sqrt(98) + 1 + sqrt(98)) + sqrt(98))**2 + -5 - (-3*-3*sqrt(14))/(4*sqrt(28)).
-24060 - 11769*sqrt(2)/8
Simplify (-6*((4*sqrt(190))/sqrt(10) - -1*sqrt(19)*-6) + -3 + -1 + 5*(sqrt(19)*1 + sqrt(19) + -2))**2.
-616*sqrt(19) + 9392
Simplify ((sqrt(136) + -6*(sqrt(136)*-1 + sqrt(136)))*6)/(sqrt(200) + sqrt(200)*2*1 - sqrt(200))*-4 + -2.
-12*sqrt(17)/5 - 2
Simplify ((3*(sqrt(252) - (0 + sqrt(252) - sqrt(252))) - -1*1*sqrt(252))**2 - (sqrt(336)/sqrt(108))/(sqrt(4) + sqrt(16)/sqrt(4)*-5))*-2.
-8064 - sqrt(7)/6
Simplify (-3*(-5 + 4 + 2 + sqrt(1008) + -1 + sqrt(1008) + 5*sqrt(1008)*1))**2*3.
1333584
Simplify (-5 + 2*(-4 + sqrt(2299)))**2 + ((sqrt(19) + 4*sqrt(19))**2 + -1 - (-3*(-2 + sqrt(19)) - sqrt(19))).
-568*sqrt(19) + 9833
Simplify (-6*(sqrt(119) + 5*sqrt(119)*2)*-4)/(-5*(sqrt(70)/sqrt(2)*-2 - sqrt(35))/sqrt(5)).
88*sqrt(17)/5
Simplify -5*(6*(3*sqrt(1900))**2 + -1 + ((sqrt(1900) - (2 + sqrt(1900))) + sqrt(1900))**2 + (-3 + sqrt(1900) + 1 - -2*sqrt(1900)*-3)).
-522505 + 450*sqrt(19)
Simplify 5*(-6*-5*(1 + sqrt(125) - sqrt(125)) + -1 + sqrt(125) + -3 + -2 + 0)**2.
1200*sqrt(5) + 3505
Simplify (5*(sqrt(12) + sqrt(12) + -5) - (5 + -1 + sqrt(12)) - ((sqrt(48)/(sqrt(4) + sqrt(16)) - -2*sqrt(1728)) + 3))**2.
5888*sqrt(3)/3 + 11536/3
Simplify ((sqrt(187) - 5*sqrt(187)*-4) + (sqrt(187) - ((sqrt(187) - sqrt(187)*-1)*3 + sqrt(187))))/((sqrt(88)*-1*-1)/sqrt(2)).
15*sqrt(17)/2
Simplify (sqrt(84)/(1*sqrt(24)/sqrt(8)))/(6*(sqrt(4) + sqrt(4) + sqrt(24)/sqrt(6))*-5).
-sqrt(7)/90
Simplify (-6*(sqrt(99) + -3*(sqrt(99) + 1)) - (-4 + 2*((sqrt(99) - sqrt(99)*5) + sqrt(99))))**2*6 + 3.
14256*sqrt(11) + 195363
Simplify (4*4*sqrt(2673))/(sqrt(12)/(sqrt(28)/sqrt(343) + sqrt(4) - sqrt(4))).
144*sqrt(11)/7
Simplify 1 + (-3*(sqrt(54) - sqrt(54)*1)*6)/((sqrt(18)/(sqrt(27)/sqrt(3)) - 5*(sqrt(2) - sqrt(2)*-2))*6).
1
Simplify (1*(-5 + (3*sqrt(13) - sqrt(13)))**2 + -2 + (-3*sqrt(1573))**2)*-5*-5.
-500*sqrt(13) + 355800
Simplify ((sqrt(24) - sqrt(24)*-2*-5)/(-5*sqrt(6)/sqrt(2)))/(-6*1*1*sqrt(576)).
-sqrt(2)/40
Simplify -6*sqrt(72)*4*5 - 4*(-2 + -4*sqrt(200)).
-560*sqrt(2) + 8
Simplify (-1*sqrt(88)*-1 + (sqrt(88) + sqrt(88)*-2*-2 - sqrt(88)))/(((sqrt(64) + -1*sqrt(64) + sqrt(64))*-6 + sqrt(64))/(sqrt(32)/sqrt(4)*4)).
-4*sqrt(11)
Simplify (1 + (sqrt(88) - (sqrt(88) - (sqrt(88) - (sqrt(88) + -5*3*sqrt(88) + sqrt(88) + sqrt(88)))))/(sqrt(33)/(sqrt(12)/sqrt(4))) + -5)**2.
-208*sqrt(2) + 1368
Simplify (2*sqrt(15)*-2 - (sqrt(120)/(sqrt(8)*2) - sqrt(15)))/((3*(-4*sqrt(147) - sqrt(147)) - sqrt(147))*-1).
-sqrt(5)/32
Simplify (-3 + sqrt(448)*-3 + 5 + sqrt(448) + (sqrt(448) - sqrt(448)*-1) + 2 + 3*(-1*sqrt(448)*-6 + -4))**2.
-2304*sqrt(7) + 145216
Simplify (3 + ((-1 + sqrt(500))*4 - (-5 + sqrt(500)*-2)) - (sqrt(180)*2 + sqrt(20) - sqrt(2880)*-4))**2.
-400*sqrt(5) + 12516
Simplify (sqrt(12)/sqrt(4)*1 - sqrt(3) - sqrt(12)/sqrt(36))*-2 + -5 + sqrt(9)/(sqrt(432)*1).
-5 + 3*sqrt(3)/4
Simplify 1*(3*(5 + 1*1*(sqrt(112) + 1)*-5))**2.
25200
Simplify sqrt(77)/(-1*sqrt(28)/sqrt(4)) + (-1 + sqrt(1331) + 1)**2 - (sqrt(1100) + 1 + -1 + sqrt(132)/(sqrt(84)/((sqrt(7) - sqrt(14)/sqrt(2)) + sqrt(7))))**2.
-sqrt(11)
Simplify ((sqrt(162)/sqrt(3)*-6)/(sqrt(363)*2 - sqrt(363)))/(-6*1*(sqrt(225) - sqrt(225)*-1)).
sqrt(2)/110
Simplify (4*sqrt(170)*-5)/(-4*sqrt(10)*-4) - (6*(sqrt(1088)*-1 + -4)*-5)**2.
-993600 - 230405*sqrt(17)/4
Simplify (sqrt(110) - -5*(sqrt(110)*-2 + sqrt(110)) - (sqrt(110) + sqrt(110)*2*3 + sqrt(110)))/(sqrt(250) - sqrt(250)*2*-2 - 3*sqrt(250)*2).
12*sqrt(11)/5
Simplify (4*(sqrt(288) + -2)*4 + 3*-1*sqrt(288) + -1*sqrt(288) + 1)**2 + 3.
-8928*sqrt(2) + 42436
Simplify (sqrt(25) + sqrt(100))/sqrt(5) + ((sqrt(5) - (sqrt(5) + 1))*-6)**2 + sqrt(55)/(2*-2*sqrt(11) + sqrt(11)) + -1*-5*(6*(sqrt(5) + 0) - (-1*sqrt(5) + -4)).
56 + 113*sqrt(5)/3
Simplify (-4*sqrt(833)*-5 - -2*sqrt(833)*-3)**2 + 0 + -3.
163265
Simplify (-5 + (sqrt(75)*-2 - sqrt(75)) + sqrt(75) + -4 + 5 + -5 + sqrt(75) + -1 + 2)**2*-2.
-278 - 160*sqrt(3)
Simplify (sqrt(1008) - (sqrt(1008) - (sqrt(1008) - (sqrt(1008) - 2*sqrt(1008)))) - sqrt(875)/sqrt(5)) + (sqrt(189)*2 + sqrt(189) + sqrt(189))/(3*sqrt(3)*1).
23*sqrt(7)
Simplify ((sqrt(50)/sqrt(2)*4*-4)/((sqrt(320) - 2*sqrt(320)) + (sqrt(10)/sqrt(2)*-5 - sqrt(5))) + -5)*-1.
-8*sqrt(5)/7 + 5
Simplify (-4*sqrt(243)*2 + 0)*-1 - (sqrt(1200)*1 + sqrt(12))/((sqrt(280)/sqrt(7))/sqrt(10) + | {
"pile_set_name": "DM Mathematics"
} |
(2)/2
Simplify (((-2*sqrt(198) + sqrt(198))*2)/(2*sqrt(900) + sqrt(900)))/(sqrt(1584)/sqrt(4) - sqrt(22)/(sqrt(16)/sqrt(8))).
-sqrt(2)/75
Simplify 4*(sqrt(2448) - (sqrt(2448) + 0)**2 - sqrt(2448)) + 3 - (sqrt(170)/sqrt(5)*-6)/((sqrt(2) + 2*sqrt(2))*-6).
-9789 - sqrt(17)/3
Simplify (-2*(-1*sqrt(66) - sqrt(66)) + -2*(-4*sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66)))/((sqrt(486) - (sqrt(486)*-1*-5 - sqrt(486)))*3).
-2*sqrt(11)/27
Simplify 4 + -6*2*sqrt(112) + -5 + ((-2 + sqrt(3087))**2 - sqrt(63)).
-135*sqrt(7) + 3090
Simplify (0 + 3 + sqrt(1300) + 0)**2 + ((sqrt(78) + sqrt(78)*1)*1 - sqrt(78))/(sqrt(6) - (sqrt(6) - sqrt(24)/(sqrt(4)*2))).
62*sqrt(13) + 1309
Simplify (-2*(2 + 1 + sqrt(4)/(1*sqrt(2)) + -2))**2 + -3.
9 + 8*sqrt(2)
Simplify -1 + ((-4*sqrt(19))**2*-5 - 1*(sqrt(19) + -3)) + -1*((1*(sqrt(304) + sqrt(19)))**2 + (sqrt(608)/sqrt(2))**2).
-2297 - sqrt(19)
Simplify (-4*(sqrt(896) - (sqrt(896) - (sqrt(896) + sqrt(896)*-2 + sqrt(896))))*-1)/((sqrt(242) - -3*sqrt(242))*-3*-3).
0
Simplify (0 + (-2 + 1*sqrt(972) + sqrt(27) - (0 + sqrt(27) + sqrt(27) + 1 + (1*sqrt(162))/sqrt(6))))**2.
-72*sqrt(3) + 441
Simplify (-1*(sqrt(209)*1*-3 - (4*sqrt(209)*-2 - sqrt(209))))/((-4*(sqrt(55) + sqrt(275)/sqrt(5)))/(sqrt(5) - sqrt(80)*-3)).
39*sqrt(19)/4
Simplify (-5*(sqrt(1377) + (sqrt(1377) + 0)*-6 + (sqrt(1377) + 0 + sqrt(1377))*-4 - -3*(5 + 2*sqrt(1377))) + 0)**2*-4.
-6769800 + 189000*sqrt(17)
Simplify ((sqrt(17)*-1*1 - (sqrt(85) + (sqrt(85) - 3*sqrt(85)))/sqrt(5)) + 1*sqrt(153) + sqrt(17) + sqrt(68) + -5)**2.
-60*sqrt(17) + 637
Simplify -4*(2*(sqrt(1900) + 1) + -3 + (-1*(4 + sqrt(1900) + sqrt(1900) + 0))**2).
-30460 - 720*sqrt(19)
Simplify 2*(-4 + (sqrt(7) - (-2*sqrt(343) + sqrt(343))))*-3 - (-4*sqrt(28)*-2)/(sqrt(256)*4).
-193*sqrt(7)/4 + 24
Simplify (-1*sqrt(68) + 1 + -4 + (-4 + -1*(sqrt(68) + -2))**2)*1.
6*sqrt(17) + 69
Simplify -3 + -3*2*(-2*sqrt(76))**2 + 3*(sqrt(76)*-1 - sqrt(76)) + (sqrt(76) + 5 + -1 + sqrt(76) + sqrt(76))**2.
-1127 + 36*sqrt(19)
Simplify ((sqrt(156) + -3*sqrt(156))*1 + sqrt(156) + (sqrt(156)*-3 + sqrt(156))*4)/((-6*sqrt(432))/(sqrt(12)/sqrt(3)*2)).
sqrt(13)
Simplify (5*-3*((-2*sqrt(416) - sqrt(416)) + sqrt(416))*2)/((sqrt(64) + sqrt(64) + (sqrt(64) - 1*sqrt(64))*-2)/(sqrt(200) - (sqrt(200) + 1*sqrt(200)))).
-300*sqrt(13)
Simplify (sqrt(102)*1*1*3)/(2*(sqrt(6) + (sqrt(96) - (-3*sqrt(96) + sqrt(96) - sqrt(96))))).
3*sqrt(17)/34
Simplify ((sqrt(363) + sqrt(363) + 0 + 5 + 2 - (sqrt(3) - (sqrt(3) + sqrt(18)/sqrt(6) + 4) - (-5 + (sqrt(3) - (sqrt(3) - (sqrt(3) + -2))) + sqrt(3)))) + 0)**2.
200*sqrt(3) + 1891
Simplify 1*(-4 + sqrt(1900)*-1 + -4)**2 - (-3 + -5*1*sqrt(1900) + -4)**2.
-45585 - 540*sqrt(19)
Simplify -1 + ((-5 + 1*sqrt(192))**2*1 - ((-1 + sqrt(192) - sqrt(192))*2 + -5)**2).
-80*sqrt(3) + 167
Simplify -5 + 1*((3 + -2 + -4 + (sqrt(448) - (sqrt(448) - (sqrt(448) + -1 - sqrt(448)))))*5)**2 + -3.
392
Simplify (6*(1 + 1*sqrt(605) - (4 + sqrt(605) + 1*sqrt(605)))*6)**2*3*2.
513216*sqrt(5) + 4774464
Simplify (-5 + (sqrt(300) - (sqrt(300) + (sqrt(300) + 1)**2 - sqrt(300)))*3)*-2 + 1 + (sqrt(192))**2 + (sqrt(36)/sqrt(48) - sqrt(3)).
119*sqrt(3)/2 + 2009
Simplify (-1 + 1*((sqrt(5324) - (sqrt(5324) + (1 + sqrt(5324) - sqrt(5324)) + sqrt(5324) + 2)) + -5)*1)**2.
396*sqrt(11) + 5405
Simplify (sqrt(12)/(sqrt(20)/sqrt(5)) - (sqrt(63)/sqrt(3))/sqrt(7))**2 + 3 - (-4*2*sqrt(27) + sqrt(27)*-2 + -1)**2.
-2698 - 60*sqrt(3)
Simplify (4*(1 + sqrt(275)) + -5 + -2 + sqrt(275))**2 - 5*(sqrt(275) + (sqrt(275) - (1*sqrt(275) + sqrt(275)))**2 + -3)*3.
-225*sqrt(11) + 2804
Simplify (-5*sqrt(1782) - sqrt(22) - (5*sqrt(22)*-3 - sqrt(22)))/(sqrt(88)/(sqrt(32)/sqrt(4)*-5)*-5).
-30*sqrt(2)
Simplify ((sqrt(252) + sqrt(252) + sqrt(252) + -1)*4 + -5 - (1 + (sqrt(252) - (sqrt(252) - (sqrt(252) + -1 + sqrt(252)))))*-5)**2*-6.
-732294 + 14256*sqrt(7)
Simplify (5 + 3*sqrt(833) + sqrt(833) + 1 + sqrt(833) + -3 + ((4 + sqrt(833) + 0 - sqrt(833)) + sqrt(833) + sqrt(833))*-3*-4 + 3)**2.
21924*sqrt(17) + 703469
Simplify -5*((-2*sqrt(11)*3 + sqrt(55)/sqrt(125))*-1 - (((1 + sqrt(11) - sqrt(11))*6)**2 - ((-3 + sqrt(11))**2 + -4))).
sqrt(11) + 100
Simplify ((((sqrt(384) - (1*sqrt(384) - sqrt(384)) - sqrt(384)) + sqrt(384))*-6*5)/((-2*sqrt(2541) - sqrt(2541))/(-2*sqrt(175))))**2.
1280000/121
Simplify 5*(-5 + ((((sqrt(75) + sqrt(75)*-1)*-3)**2 - (sqrt(75) - (1 + sqrt(75)*-1)**2)) + ((-4 + sqrt(75) + 1)*2)**2)*4).
-2700*sqrt(3) + 8215
Simplify -5*-1*((sqrt(66)/(sqrt(3) + sqrt(12)))/(sqrt(16)/(-2*sqrt(8))) - (sqrt(22)/sqrt(288) + 0)).
-15*sqrt(11)/4
Simplify -2 + (((sqrt(297) + sqrt(297)*2 - sqrt(297))*1 + sqrt(297))*-4)/(2*sqrt(1100)*3 + 1*sqrt(1100)*-5).
-18*sqrt(3)/5 - 2
Simplify ((-4*sqrt(1008)*6)**2 - (-5 + sqrt(7) + 1 + sqrt(7) + -2)**2) + -3.
24*sqrt(7) + 580541
Simplify -2*sqrt(1216)*-3*-2 - (-1*sqrt(171)*-2)/((-2*sqrt(81))/sqrt(9)).
-95*sqrt(19)
Simplify (5 + sqrt(80) - sqrt(15)/sqrt(192)) + ((-2 + sqrt(320))*4 + -2*sqrt(320) + -5)**2.
-3297*sqrt(5)/8 + 1454
Simplify -4*((sqrt(20)*-3)**2 + -3) + ((3 + sqrt(605))*-4)**2 + -3.
1056*sqrt(5) + 9113
Simplify ((-1 + (-1 + 5 + -1*sqrt(300))*4*4)*-2*-5)**2.
-2016000*sqrt(3) + 8076900
Simplify (-6*1*sqrt(12))**2 + sqrt(12) + -5 + (sqrt(972) + 1 - sqrt(972))*-1 + 3*(sqrt(108) + 5 + (1*-2*sqrt(12) + sqrt(12))**2)*4.
74*sqrt(3) + 630
Simplify 3*(sqrt(1872) + 0)**2 + 1*-3*sqrt(1872) + sqrt(1872) - (sqrt(1872) + (sqrt(1872) + -4 + sqrt(1872) + -2)**2 + 1*(-2 + sqrt(1872))).
-1906 + 240*sqrt(13)
Simplify (-5*sqrt(288) + 1*sqrt(2178) + sqrt(18))/(1*sqrt(81)/(sqrt(27)/sqrt(3))).
-8*sqrt(2)
Simplify -5*(((sqrt(216) + sqrt(216) + 1*sqrt(216) + sqrt(216))*2 - sqrt(216)) + sqrt(216))/(sqrt(4)/(sqrt(242)*2 + sqrt(242))).
-7920*sqrt(3)
Simplify (-3 + ((sqrt(117)*2*-2 - sqrt(117))*3)/((sqrt(9) - sqrt(180)/sqrt(5)) + -4*1*sqrt(9)))**2.
-18*sqrt(13) + 126
Simplify (sqrt(125) + -4*(sqrt(125) + 2*sqrt(125)) + (sqrt(125) - (sqrt(125) + 0)*-2) + (4 + sqrt(125) + 1 + sqrt(125) + -2)*6)**2.
720*sqrt(5) + 2324
Simplify (-4*-6*(sqrt(847)*2 + -1)**2 - (-3 + -3*(sqrt(847)*2 + 5 - sqrt(847)))) + 4.
-1023*sqrt(7) + 81358
Simplify 6*(5 + (0 + sqrt(208) + -4 - (-3*(sqrt(208) + sqrt(208) + 0))**2) + -3*sqrt(208)*2*5).
-44922 - 696*sqrt(13)
Simplify (sqrt(266)/sqrt(448)*3)/((sqrt(600)*-1)/sqrt(12)).
-3*sqrt(19)/40
Simplify -1 + (-2*sqrt(336)/sqrt(108)*-2 + -2)*3.
-7 + 8*sqrt(7)
Simplify ((sqrt(272) - (-2 + sqrt(272))) + -1 + (5*sqrt(272)*-1 - sqrt(272)) - (-3 + 1*sqrt(272)*-6 + 1))**2.
9
Simplify (-5*sqrt(70)*-1*-6*1)/(sqrt(1440)*1*-5 + sqrt(1440) + 4*2*sqrt(1440) + sqrt(1440) + sqrt(1440) + sqrt(1440)).
-5*sqrt(7)/14
Simplify ((-4*(sqrt(120) + (sqrt(120)*-2 - sqrt(120)) + sqrt(120))/(sqrt(6)/sqrt(2)*6))/((sqrt(2420)*-3 + sqrt(20))/(-4*sqrt(30)/sqrt(3))))**2.
5/36
Simplify ((sqrt(72) + -5*-2*sqrt(72))/(-2*sqrt(8)/sqrt(4)))/(2*6*(sqrt(1452) - sqrt(1452)*2)).
sqrt(3)/24
Simplify (-6*2*sqrt(196)*-5)/(-5*sqrt(343)*2*1).
-12*sqrt(7)/7
Simplify -6*(2 + (sqrt(68) + 3 + sqrt(68) + 1 - (sqrt(68) + (2*(sqrt(68) + 0) - sqrt(68)))) + 4)**2.
-600
Simplify -2*(2*sqrt(19) + 2)**2 + -1 + (sqrt(684) + (sqrt(684) - (-1 + sqrt(684))) - sqrt(684)) - (4 + ((1*sqrt(19) + sqrt(19))*6 + sqrt(171)/sqrt(144))**2).
-48243/16 - 16*sqrt(19)
Simplify ((-1 + sqrt(117)*-2 - (sqrt(117) + (sqrt(117) + sqrt(117) + -1)*2) - (2*sqrt(117)*1 - (-5 + (sqrt(117) + 1 - sqrt(117)))))*5*1)**2.
4050*sqrt(13) + 237150
Simplify ((-2*sqrt(10)*2 - sqrt(1000)*1)/(sqrt(5445) + (sqrt(5445) + (sqrt(5445) - -2*sqrt(5445)) + sqrt(5445))*5 + sqrt(5445)))**2.
392/793881
Simplify ((-6*(sqrt(45) + sqrt(405) - sqrt(45) - sqrt(45)))/(-4*sqrt(12)/sqrt(4)))/((sqrt(60)/sqrt(2))/sqrt(6) - sqrt(250)/sqrt(2))*-5.
15*sqrt(3)/4
Simplify 1*(4 + 1 + 3 + sqrt(11)) - -2*(2*sqrt(1100))**2*1.
sqrt(11) + 8808
Simplify -4*(-4*((sqrt(792) - (sqrt(792) + (sqrt(792) - sqrt(792)*-2)) - sqrt(792))*6)/((sqrt(11) - sqrt(66)/(1*sqrt(6))) + sqrt(44)/sqrt(4)*-5))**2.
-2654208/25
Simplify ((sqrt(288) + 2 + -2 + sqrt(288)*3 + 0 + sqrt(288) - (5*(-4 + 1 + sqrt(288)) + 4))*-2)**2.
484
Simplify 3*(1 + 5*(-3*sqrt(75)*-3)**2 + (6*(sqrt(75) + 2) - ((1*sqrt(75) - sqrt(75)) + -2))**2).
2520*sqrt(3) + 99816
Simplify (3 + (sqrt(190)*-2)/sqrt(10) - ((sqrt(19) - (sqrt(19)*-1 + sqrt(19)) - sqrt(19)) + -5 + sqrt(2299) + 0))**2 + (1*(sqrt(475)*1*-6 + -5))**2.
92*sqr | {
"pile_set_name": "DM Mathematics"
} |
-1655, -1771, -1887, -2003?
-2119
What comes next: -3466, -6881, -10296?
-13711
What is next in 83, 43, -21, -109?
-221
What is the next term in -1465, -1460, -1455, -1450, -1445?
-1440
What is the next term in 6632, 6625, 6618?
6611
What is the next term in 65857, 65796, 65637, 65332, 64833, 64092?
63061
What is the next term in -815987, -815990, -815995, -816002?
-816011
What comes next: 19606, 19538, 19426, 19270, 19070?
18826
What comes next: -4117, -8225, -12329, -16429, -20525, -24617?
-28705
What comes next: 3954, 3968, 3992, 4026, 4070, 4124?
4188
What is next in 248977, 248976, 248975?
248974
What is next in -638, -1283, -1938, -2609, -3302, -4023, -4778, -5573?
-6414
What is next in -18464, -73852, -166166, -295406, -461572, -664664?
-904682
What comes next: 68806, 275222, 619248, 1100884, 1720130, 2476986?
3371452
What comes next: 342, 347, 340, 315, 266?
187
What is next in -14976, -29954, -44932, -59910, -74888, -89866?
-104844
What comes next: 84252, 168539, 252826, 337113, 421400, 505687?
589974
What comes next: 755, 1341, 1927, 2513, 3099, 3685?
4271
What comes next: 564309, 564311, 564313, 564315, 564317, 564319?
564321
What is the next term in -161, -376, -743, -1268, -1957, -2816, -3851?
-5068
What is the next term in -1065, -2118, -3121, -4050, -4881, -5590?
-6153
What is the next term in 160099, 160100, 160101, 160102, 160103?
160104
What is next in 15455, 15402, 15347, 15290, 15231?
15170
What is next in 128892, 128934, 128978, 129024, 129072?
129122
What is next in -713, -863, -1281, -2105, -3473, -5523, -8393, -12221?
-17145
What is next in 207, 874, 1997, 3576, 5611, 8102?
11049
What comes next: 499, 978, 1457, 1936, 2415?
2894
What is the next term in 42, 236, 560, 1014, 1598?
2312
What is the next term in -25162, -201325, -679472, -1610593, -3145678, -5435717, -8631700?
-12884617
What comes next: -59137, -118271, -177381, -236455, -295481, -354447, -413341, -472151?
-530865
What is next in 40492, 80978, 121462, 161944, 202424?
242902
What is the next term in -118048, -118055, -118066, -118081, -118100, -118123, -118150?
-118181
What is next in -2, -8, -24, -56, -110, -192, -308, -464?
-666
What is next in 1485, 5949, 13389, 23805, 37197?
53565
What is next in -3085, -6000, -8903, -11788, -14649, -17480, -20275, -23028?
-25733
What comes next: 1712, 2828, 3944, 5060?
6176
What comes next: -2122, -2422, -2722, -3022, -3322?
-3622
What comes next: -1015, -1058, -1089, -1114, -1139, -1170, -1213?
-1274
What is the next term in 7188, 14347, 21492, 28617, 35716, 42783, 49812, 56797?
63732
What is the next term in -11178, -22391, -33626, -44895, -56210, -67583, -79026, -90551?
-102170
What is the next term in -171399, -171407, -171417, -171429, -171443, -171459, -171477?
-171497
What comes next: -220356, -220355, -220354, -220353?
-220352
What comes next: 59, 72, 101, 152, 231, 344, 497?
696
What is next in 58, 55, 72, 121, 214, 363?
580
What is next in -86615, -86491, -86279, -85973, -85567, -85055?
-84431
What comes next: -55138, -110275, -165412, -220549?
-275686
What is next in 2428, 9795, 22080, 39289, 61428?
88503
What comes next: 4075, 8202, 12329, 16456?
20583
What comes next: -10, -214, -702, -1594, -3010, -5070?
-7894
What is next in -113, -322, -649, -1076, -1585?
-2158
What is the next term in 2068, 2150, 2286, 2476, 2720, 3018, 3370?
3776
What is the next term in -35847, -35848, -35849?
-35850
What is next in -4659, -4773, -4891, -5013?
-5139
What is the next term in -57101, -114197, -171293, -228389?
-285485
What is next in -154650, -154620, -154590?
-154560
What is the next term in -4334, -4318, -4292, -4256, -4210, -4154?
-4088
What is next in -154, -965, -3174, -7483, -14594, -25209, -40030?
-59759
What is the next term in -7510, -15161, -22812?
-30463
What comes next: -6164, -12438, -18712, -24986, -31260, -37534?
-43808
What comes next: 2364, 4711, 7032, 9327, 11596, 13839, 16056?
18247
What is the next term in -13649, -54593, -122831, -218363, -341189, -491309, -668723?
-873431
What is the next term in -87, -377, -881, -1611, -2579, -3797?
-5277
What is next in 3352, 3395, 3398, 3349, 3236, 3047, 2770, 2393?
1904
What is the next term in -40433, -40419, -40397, -40367, -40329, -40283?
-40229
What is next in -1001, -4013, -9035, -16061, -25085?
-36101
What is next in 8846, 8818, 8770, 8702?
8614
What comes next: 8567, 17176, 25785, 34394, 43003, 51612?
60221
What comes next: 12519960, 12519961, 12519962, 12519963, 12519964, 12519965?
12519966
What is the next term in -4492, -17897, -40232, -71491, -111668?
-160757
What comes next: 19489, 38981, 58475, 77971?
97469
What is next in 402, 851, 1308, 1767, 2222, 2667, 3096?
3503
What comes next: 7083, 28335, 63759, 113355, 177123?
255063
What comes next: 72081, 72079, 72077, 72075?
72073
What is next in -682, -1356, -2018, -2662, -3282, -3872?
-4426
What comes next: -58, -174, -362, -616, -930, -1298, -1714?
-2172
What comes next: -5964, -11926, -17888, -23850, -29812?
-35774
What comes next: -717, -809, -963, -1179?
-1457
What is the next term in 357, 2897, 9805, 23265, 45461?
78577
What is the next term in -10018, -9923, -9670, -9181, -8378, -7183, -5518, -3305?
-466
What comes next: -11, -39, -81, -143, -231?
-351
What is next in 30, 100, 170, 240?
310
What is the next term in -156, -280, -492, -798, -1204?
-1716
What comes next: 618001, 1236003, 1854003, 2472001, 3089997?
3707991
What comes next: -4886, -39118, -132038, -312992, -611326, -1056386?
-1677518
What is next in 8597843, 8597841, 8597837, 8597831, 8597823, 8597813?
8597801
What is next in 452117, 452115, 452113, 452111?
452109
What comes next: 1102, 1309, 1516, 1723, 1930?
2137
What comes next: 1427, 2863, 4307, 5765, 7243?
8747
What is next in 163, 359, 591, 871, 1211, 1623, 2119, 2711?
3411
What comes next: -2008, -4044, -6080?
-8116
What comes next: 1661, 3397, 5133?
6869
What comes next: 280114, 280113, 280112, 280111, 280110, 280109?
280108
What comes next: 125083, 125079, 125073, 125065?
125055
What is next in 12073, 24153, 36241, 48343, 60465, 72613?
84793
What comes next: -442731, -885465, -1328199, -1770933, -2213667, -2656401?
-3099135
What is next in 2687, 2686, 2685, 2684, 2683?
2682
What is next in 2006, 3594, 6240, 9944, 14706, 20526?
27404
What comes next: 205, 143, -27, -359, -907?
-1725
What is next in -2641, -2680, -2789, -3004, -3361, -3896?
-4645
What is next in -206655, -206653, -206651, -206649?
-206647
What is the next term in -2792871, -2792870, -2792869?
-2792868
What is next in 1100, 1251, 1416, 1601, 1812?
2055
What is next in -350, 3, 356, 709, 1062, 1415?
1768
What comes next: 6856, 13769, 20682, 27595, 34508?
41421
What is the next term in 2293, 2421, 2559, 2707, 2865, 3033?
3211
What is the next term in 420884, 841775, 1262666, 1683557, 2104448?
2525339
What is the next term in -25251, -24810, -24359, -23892, -23403?
-22886
What is the next term in 1339, 2670, 4007, 5350, 6699, 8054?
9415
What is next in -783, -3277, -7431, -13245, -20719?
-29853
What is the next term in 98234, 98235, 98234, 98231, 98226, 98219, 98210?
98199
What is next in 3692, 3664, 3606, 3512, 3376, 3192, 2954?
2656
What comes next: -1016, -2033, -3050, -4067?
-5084
What comes next: -84, -182, -296, -426?
-572
What is next in -6780, -6843, -7022, -7377, -7968, -8855, -10098, -11757?
-13892
What is the next term in -1084147, -2168292, -3252437?
-4336582
What comes next: -518, -4020, -13522, -32024, -62526, -108028?
-171530
What is the next term in -32, -57, -108, -179, -264?
-357
What is next in -314, -648, -984, -1316, -1638, -1944, -2228, -2484?
-2706
What is the next term in 324, 439, 576, 729, 892, 1059, 1224?
1381
What is next in 4052, 4571, 5436, 6647, 8204, 10107?
12356
What comes next: -528, -1266, -1998, -2718, -3420?
-4098
What comes next: -90514, -362014, -814514, -1448014, -2262514?
-3258014
What comes next: 7480, 14978, 22474, 29968, 37460, 44950?
52438
What comes next: 3397, 13581, 30549, 54301, 84837?
122157
What comes next: 2282, 4731, 7178, 9623?
12066
What is next in -3032, -3585, -4138?
-4691
What is the next term in 1863, 1860, 1857?
1854
What is the next term in -81384, -81386, -81388, -81390, -81392, -81394?
-81396
What is next in -7376, -14760, -22144?
-29528
What is n | {
"pile_set_name": "DM Mathematics"
} |
m(f) = 4*s(f) - 11*u(f). What is the first derivative of m(d) wrt d?
-32*d
Let y(d) = -7*d**3 + 5*d**2 + 7*d - 6. Let t(h) = -4*h**3 + 3*h**2 + 3*h - 3. Let l(p) = -7*t(p) + 3*y(p). What is the third derivative of l(s) wrt s?
42
Suppose 0 = 2*o + b - 17, 0 = 4*o + 5*b - 0 - 25. Find the second derivative of o*s**2 - 10*s**2 - 8*s**2 - s wrt s.
-16
Let y(m) = m**2 + m + 1. Let h(i) = 7*i**2 + 6*i + 21. Let z(x) = -h(x) + 6*y(x). What is the derivative of z(r) wrt r?
-2*r
Let c(g) be the second derivative of g**3/6 - 4*g**2 - 6*g. Find the first derivative of c(k) wrt k.
1
Let t(d) = d**2 - d - 4. Let a be t(3). Find the second derivative of l**3 + 1 + 2*l - 1 - a*l**3 wrt l.
-6*l
Suppose 0*n - 15 = -5*n. Find the first derivative of -2*t**4 + 0*t**4 - 5*t**3 + 3 + 5*t**n wrt t.
-8*t**3
Let f be (-88)/(-14) - 12/42. Suppose z + 5 = f*z. What is the derivative of -3 - a**4 - z + 5 wrt a?
-4*a**3
Find the third derivative of -23*s**6 - 6*s**2 + s**2 + 7*s**2 - 19*s**2 wrt s.
-2760*s**3
Let x(s) be the second derivative of 0*s**2 + 5*s + 0*s**6 + 0*s**5 + 0 + 0*s**4 + 5/6*s**3 + 1/42*s**7. What is the second derivative of x(c) wrt c?
20*c**3
Let d(o) be the third derivative of 0*o**6 - 1/70*o**7 - 7/60*o**5 + 0*o**3 + 0*o**4 + 3*o**2 + 0 + 0*o. Find the third derivative of d(g) wrt g.
-72*g
Let z(d) be the second derivative of -23*d**6/30 - 19*d**4/12 - 22*d. Find the third derivative of z(h) wrt h.
-552*h
Let z(j) be the first derivative of -j**10/2520 - j**6/180 + j**3/3 + 3. Let x(g) be the third derivative of z(g). What is the third derivative of x(c) wrt c?
-240*c**3
Let t(b) = -4 + 4*b - 3 - 2*b. Let y be t(6). Find the third derivative of 2*r**3 + y*r**2 - r**3 - 3*r**2 wrt r.
6
Let t(l) be the third derivative of 0*l**3 - 3*l**2 + 1/210*l**7 + 1/12*l**4 + 0 + 0*l + 0*l**6 + 0*l**5. What is the second derivative of t(r) wrt r?
12*r**2
Let f(k) be the third derivative of -k**6/180 + k**5/30 + k**4/24 - 2*k**2. Let r(n) be the second derivative of f(n). Find the first derivative of r(c) wrt c.
-4
Suppose i + x - 12 = -2*x, -5*i + 3 = -4*x. Differentiate 3 + 1 - 2*c**3 - i*c**3 + 2*c**3 wrt c.
-9*c**2
Let q(x) be the third derivative of x**6/60 - x**5/20 - 5*x**3/6 - 7*x**2. Let k(j) be the first derivative of q(j). Find the second derivative of k(c) wrt c.
12
Let c(x) = 5*x**4 - 7*x**3 - 24*x**2 + 7. Let g(p) = -2*p**4 + 4*p**3 + 12*p**2 - 4. Let d(w) = 4*c(w) + 7*g(w). Find the third derivative of d(u) wrt u.
144*u
Suppose 3*l = j + 14, -3*j = 3*l + j - 4. What is the second derivative of 2*x**5 + x + x - l*x**2 + 4*x**2 wrt x?
40*x**3
Let m(r) = -5*r**2 - 7*r**3 + 2*r**2 + 15*r**3. Let c(x) = 7*x**3 - 2*x**2. Let w(d) = -6*c(d) + 5*m(d). Find the third derivative of w(t) wrt t.
-12
What is the third derivative of 48*l**5 - 2*l**3 + l**6 + 2*l**3 - 2*l**2 - 2*l - 55*l**5 wrt l?
120*l**3 - 420*l**2
Let d(y) be the second derivative of -4*y**5/5 + 7*y**3/2 + 32*y. Find the second derivative of d(c) wrt c.
-96*c
Let w(g) be the first derivative of g**4/8 + 7*g**3/6 + g**2/2 + 1. Let t(l) be the second derivative of w(l). What is the first derivative of t(d) wrt d?
3
Let o(q) = -q**4 + q**3 - q**2 - 1. Let j(k) = k**4 + 4*k**3 - k**2 - 4. Let h(y) = j(y) - 4*o(y). What is the third derivative of h(b) wrt b?
120*b
Let w(v) be the third derivative of -4*v**2 - 1/42*v**7 + 0*v**5 + 0*v**3 + 0*v + 0 - 1/8*v**4 + 0*v**6. What is the second derivative of w(s) wrt s?
-60*s**2
What is the second derivative of 6*i**2 - 7*i**2 - 6*i**2 - 8*i wrt i?
-14
Let t(a) be the first derivative of 3*a**3 + 3*a**2/2 - 9. What is the second derivative of t(q) wrt q?
18
Let i(n) be the third derivative of -n**7/35 + n**3/6 + 5*n**2. Find the first derivative of i(p) wrt p.
-24*p**3
Let j = 10 + 1. Suppose j = -a + 5*c, 5*a + 2*c - 14 = 4*c. Differentiate -a*k**4 + 3 + 2*k**4 - 6 wrt k.
-8*k**3
Let s(o) be the second derivative of -17*o**6/30 + 19*o**4/12 + 22*o. Find the third derivative of s(y) wrt y.
-408*y
Let a(z) be the second derivative of -2*z**7/7 + 3*z**5/20 - 3*z**4/2 - 2*z. Find the third derivative of a(x) wrt x.
-720*x**2 + 18
What is the second derivative of -29*j**2 + 4*j + 4*j**2 - 16*j wrt j?
-50
Let k(v) be the first derivative of 0*v**4 + 5 + v**2 + 0*v - 7/5*v**5 + 0*v**3. What is the second derivative of k(n) wrt n?
-84*n**2
Let s(r) = r**2 + 2*r. Let h be s(-2). Suppose k + g - 4 = h, 0 = -3*k - 4*g - 6 + 17. What is the third derivative of 3*f**5 - 2*f**5 + 0*f**k - 2*f**2 wrt f?
60*f**2
Let h(q) = -q + 11. Let o(y) = -y + 23. Let b(k) = 13*h(k) - 6*o(k). Let c(z) = -1. Let n(s) = -b(s) + 3*c(s). Find the first derivative of n(x) wrt x.
7
Let b(x) be the first derivative of -x**6/120 - x**4/6 + x**2 - 5. Let l(r) be the second derivative of b(r). What is the second derivative of l(n) wrt n?
-6*n
Let r = 65 + -61. Let x(p) be the first derivative of -p**2 - 1/2*p**r + 0*p + 0*p**3 + 3. What is the second derivative of x(v) wrt v?
-12*v
Let n(b) be the first derivative of 18*b**5/5 - 36*b + 1. What is the derivative of n(c) wrt c?
72*c**3
What is the derivative of 163*j + 13 - 4 - 192*j wrt j?
-29
What is the second derivative of 3236 - 17*w**2 - 23*w - 3236 wrt w?
-34
Let l(b) = 30*b**4 - 22*b. Let n(o) = -12*o**4 + 9*o. Let h(g) = -5*l(g) - 12*n(g). What is the second derivative of h(u) wrt u?
-72*u**2
Let c(v) be the second derivative of -3*v**8/7 - 3*v**4 - 23*v. Find the third derivative of c(f) wrt f.
-2880*f**3
Let c(s) = -112*s**3 + 152*s - 17. Let n(q) = -37*q**3 + 51*q - 6. Let r(k) = -6*c(k) + 17*n(k). Find the second derivative of r(u) wrt u.
258*u
What is the first derivative of 2*v**2 - 96 + 10*v**2 + 82 wrt v?
24*v
Let o(d) = -d**2 - 2*d + 2. Let r be o(0). Suppose 0 = 3*c + b + b, 25 = 5*c - 5*b. Find the second derivative of -r*z - c*z**2 + 5*z + 0*z + 0*z wrt z.
-4
Let z be (-2)/10 - (-48)/15. Find the second derivative of -c**3 + 9*c**2 - z*c - 9*c**2 wrt c.
-6*c
Find the second derivative of -80 + 3*f**3 - 81 - 26*f**3 - 17*f + 163 wrt f.
-138*f
Let c(a) = 2*a**4 - 2*a**3 + 2*a**2 - 2*a + 1. Let k(o) = 9*o**4 - 11*o**3 + 11*o**2 - 11*o + 5. Let b(v) = 11*c(v) - 2*k(v). Differentiate b(y) wrt y.
16*y**3
Let n = 9 - 4. What is the third derivative of -2*m**2 + n*m**2 + 0*m**2 - 2*m**2 + 4*m**4 wrt m?
96*m
Let z(x) = -1. Let o = 1 + -2. Let n(d) be the third derivative of -d**4/24 + 9*d**2. Let p(q) = o*n(q) - 2*z(q). What is the first derivative of p(l) wrt l?
1
Let x(n) = n**3 - 2*n**2 + 2. Let m be x(0). Find the third derivative of -4*r**3 - r**3 + 4*r**2 + m*r**3 wrt r.
-18
Let u(v) be the second derivative of -22*v**7/21 + 13*v**3/3 + 2*v - 3. Find the second derivative of u(c) wrt c.
-880*c**3
Let b(u) = 25*u**2 - 6. Let z = -2 + -11. Let g(c) = -12*c**2 + 3. Let h(x) = z*g(x) - 6*b(x). Find the first derivative of h(l) wrt l.
12*l
Suppose 6*x - 10 = 4*x. Differentiate 6*k - 4 - 5 + 2 + x with respect to k.
6
Let b(c) = c**2 - 10*c + 5. Let m be b(10). Suppose -q + m = 3. What is the third derivative of 2*y**4 + 5*y**2 - 4*y**q + 0*y**4 + 0*y**4 wrt y?
48*y
Let v(c) = 9*c**3 - 11. Let m(z) = 2*z**2 - 3*z**2 - 8*z**3 + z**2 + 10. Let u(t) = 6*m(t) + 5*v(t). What is the derivative of u(n) wrt n?
-9*n**2
Suppose 3*r = 15, 0*d + 4*d = -2*r + 30. Find the third derivative of -70*j**4 + 70*j**4 + 2*j**d - 7*j**2 wrt j.
120*j**2
Let p(w) be the first derivative of -w**4/4 + 5*w**2/2 - 3*w - 2. Let m(i) be the first derivative of p(i). What is the derivative of m(r) wrt r?
-6*r
Let y(m) be the third derivative of 9*m**5/20 - 15*m**4/8 + 5*m**2 + m. What is the second derivative of y(z) wrt z?
54
Let l(p) be the first derivative of -p**7/42 - p**4/12 - 4*p - 3. Let m(w) be the first derivative of l(w). Find the third derivative of m(q) wrt q.
-60*q**2
Let c be 0*(-2 + (-5)/(-2)). Suppose c = -5*g + 4*u + 15 + 12, 3 = 3*g + 2*u. What is the second derivative of 0*w - 3 - 2*w - 2*w**4 + g wrt w?
-24*w**2
Let g(p) be the third derivative of 11*p**6/60 + 5*p**3/3 + 22*p**2. Find the first derivative of g(j) wrt j.
66*j**2
Suppose -5*c - 2*j + 18 = -4*j, -j = 4*c - 4. What is the derivative of -3 + 3*l**c - 3*l**2 - 4 + 3*l**3 wrt l?
9*l**2
Suppose 5*f - 28 - 107 = 0. Suppose 4*p + 3 - f = 0. What is the derivative of -5*r**3 + 2 + | {
"pile_set_name": "DM Mathematics"
} |
is 1339454909 to the power of 1/3, to the nearest integer?
1102
What is 158170301 to the power of 1/3, to the nearest integer?
541
What is the seventh root of 684321202 to the nearest integer?
18
What is 974451600 to the power of 1/2, to the nearest integer?
31216
What is 51379851 to the power of 1/3, to the nearest integer?
372
What is the third root of 96900385 to the nearest integer?
459
What is 945936848 to the power of 1/10, to the nearest integer?
8
What is the ninth root of 941216398 to the nearest integer?
10
What is the sixth root of 71012931 to the nearest integer?
20
What is the square root of 28477915 to the nearest integer?
5336
What is the third root of 697814775 to the nearest integer?
887
What is the square root of 118210655 to the nearest integer?
10872
What is 150711175 to the power of 1/6, to the nearest integer?
23
What is 1346101889 to the power of 1/3, to the nearest integer?
1104
What is the third root of 1374942553 to the nearest integer?
1112
What is 30136201 to the power of 1/2, to the nearest integer?
5490
What is the third root of 141616375 to the nearest integer?
521
What is 226568191 to the power of 1/3, to the nearest integer?
610
What is the cube root of 180368984 to the nearest integer?
565
What is 267862826 to the power of 1/3, to the nearest integer?
645
What is the square root of 4356582253 to the nearest integer?
66004
What is the ninth root of 6924939466 to the nearest integer?
12
What is the cube root of 756322757 to the nearest integer?
911
What is the square root of 433618544 to the nearest integer?
20824
What is 372516671 to the power of 1/3, to the nearest integer?
720
What is the cube root of 39211316 to the nearest integer?
340
What is the third root of 157284494 to the nearest integer?
540
What is the cube root of 5525181 to the nearest integer?
177
What is 1650485143 to the power of 1/3, to the nearest integer?
1182
What is the square root of 416770358 to the nearest integer?
20415
What is 11977029 to the power of 1/2, to the nearest integer?
3461
What is 12816090 to the power of 1/2, to the nearest integer?
3580
What is the cube root of 369950000 to the nearest integer?
718
What is the sixth root of 359129597 to the nearest integer?
27
What is 343737710 to the power of 1/2, to the nearest integer?
18540
What is the tenth root of 12720979 to the nearest integer?
5
What is 11187056 to the power of 1/2, to the nearest integer?
3345
What is 668810492 to the power of 1/2, to the nearest integer?
25861
What is 110228654 to the power of 1/6, to the nearest integer?
22
What is the cube root of 192268059 to the nearest integer?
577
What is the square root of 51964299 to the nearest integer?
7209
What is 407602023 to the power of 1/2, to the nearest integer?
20189
What is 1026059959 to the power of 1/4, to the nearest integer?
179
What is the seventh root of 82393301 to the nearest integer?
14
What is the fourth root of 1372218493 to the nearest integer?
192
What is the square root of 1510672650 to the nearest integer?
38867
What is the ninth root of 4373485507 to the nearest integer?
12
What is the square root of 615665511 to the nearest integer?
24813
What is the seventh root of 70566570 to the nearest integer?
13
What is 755870757 to the power of 1/2, to the nearest integer?
27493
What is 113774055 to the power of 1/3, to the nearest integer?
485
What is the square root of 177915865 to the nearest integer?
13339
What is 50145406 to the power of 1/2, to the nearest integer?
7081
What is 47830151 to the power of 1/2, to the nearest integer?
6916
What is the third root of 206370352 to the nearest integer?
591
What is the third root of 1697522661 to the nearest integer?
1193
What is 2022971612 to the power of 1/2, to the nearest integer?
44977
What is 241081930 to the power of 1/9, to the nearest integer?
9
What is 662283634 to the power of 1/3, to the nearest integer?
872
What is the ninth root of 42247840 to the nearest integer?
7
What is the square root of 188024063 to the nearest integer?
13712
What is the square root of 187178003 to the nearest integer?
13681
What is the tenth root of 220681448 to the nearest integer?
7
What is 247896206 to the power of 1/2, to the nearest integer?
15745
What is the fourth root of 54763425 to the nearest integer?
86
What is the square root of 908015169 to the nearest integer?
30133
What is the third root of 8762527981 to the nearest integer?
2062
What is the square root of 459351154 to the nearest integer?
21432
What is 1114811701 to the power of 1/2, to the nearest integer?
33389
What is the third root of 105011977 to the nearest integer?
472
What is the cube root of 3364265652 to the nearest integer?
1498
What is 186546739 to the power of 1/2, to the nearest integer?
13658
What is 736682884 to the power of 1/8, to the nearest integer?
13
What is the square root of 4820262866 to the nearest integer?
69428
What is 9081472020 to the power of 1/6, to the nearest integer?
46
What is 18095837 to the power of 1/5, to the nearest integer?
28
What is the seventh root of 13478801 to the nearest integer?
10
What is the fourth root of 2741266100 to the nearest integer?
229
What is 551347532 to the power of 1/2, to the nearest integer?
23481
What is 265764274 to the power of 1/3, to the nearest integer?
643
What is 2921794 to the power of 1/8, to the nearest integer?
6
What is 311410963 to the power of 1/2, to the nearest integer?
17647
What is 70213582 to the power of 1/4, to the nearest integer?
92
What is 40397171 to the power of 1/4, to the nearest integer?
80
What is the seventh root of 422863258 to the nearest integer?
17
What is the square root of 53184258 to the nearest integer?
7293
What is the eighth root of 150899842 to the nearest integer?
11
What is the square root of 28015897 to the nearest integer?
5293
What is 3018319470 to the power of 1/2, to the nearest integer?
54939
What is 19958185 to the power of 1/2, to the nearest integer?
4467
What is 5749302119 to the power of 1/7, to the nearest integer?
25
What is the eighth root of 220310521 to the nearest integer?
11
What is 2440137248 to the power of 1/6, to the nearest integer?
37
What is the square root of 78177295 to the nearest integer?
8842
What is the cube root of 612381045 to the nearest integer?
849
What is the fifth root of 1152292124 to the nearest integer?
65
What is the fifth root of 1516183725 to the nearest integer?
69
What is the cube root of 224503373 to the nearest integer?
608
What is the fifth root of 496780192 to the nearest integer?
55
What is 40464368 to the power of 1/7, to the nearest integer?
12
What is 152247669 to the power of 1/4, to the nearest integer?
111
What is 566008440 to the power of 1/2, to the nearest integer?
23791
What is 217581984 to the power of 1/2, to the nearest integer?
14751
What is 55408268 to the power of 1/2, to the nearest integer?
7444
What is 474941064 to the power of 1/2, to the nearest integer?
21793
What is the fourth root of 1443341770 to the nearest integer?
195
What is 4554601351 to the power of 1/2, to the nearest integer?
67488
What is 18180269 to the power of 1/4, to the nearest integer?
65
What is 2742804603 to the power of 1/2, to the nearest integer?
52372
What is 91735365 to the power of 1/9, to the nearest integer?
8
What is the square root of 1888839514 to the nearest integer?
43461
What is the third root of 609970220 to the nearest integer?
848
What is 421301785 to the power of 1/10, to the nearest integer?
7
What is 109323707 to the power of 1/5, to the nearest integer?
41
What is 158923629 to the power of 1/2, to the nearest integer?
12606
What is the fourth root of 27835115 to the nearest integer?
73
What is the sixth root of 132484653 to the nearest integer?
23
What is 4123549952 to the power of 1/5, to the nearest integer?
84
What is 3737683691 to the power of 1/8, to the nearest integer?
16
What is 139429610 to the power of 1/3, to the nearest integer?
519
What is 7795222990 to the power of 1/8, to the nearest integer?
17
What is the cube root of 114724342 to the nearest integer?
486
What is the cube root of 33859858 to the nearest integer?
324
What is 4242950667 to the power of 1/2, to the nearest integer?
65138
What is 158452009 to t | {
"pile_set_name": "DM Mathematics"
} |
69
Calculate -206904576 divided by 1544064.
-134
Calculate -137263752 divided by 42248.
-3249
Divide -23162 by -5385.
23162/5385
Divide 9128130 by -2.
-4564065
Calculate 651631992 divided by -162907998.
-4
Divide -44512015 by -5.
8902403
Divide -5 by 2657828.
-5/2657828
-11 divided by -16334980
11/16334980
Calculate 361004826 divided by -1326.
-272251
Divide -10286856 by 2.
-5143428
What is -6679624 divided by -1318?
5068
Calculate 283095 divided by 58.
283095/58
Divide -2656588 by 346.
-7678
Calculate -35628 divided by -11336.
8907/2834
251935540 divided by 6
125967770/3
What is 24942900 divided by -831430?
-30
-374546 divided by -8
187273/4
Calculate 349432426 divided by 3565637.
98
1415634770 divided by -5830
-242819
8654608 divided by -316
-27388
Divide 222752542 by -38.
-5861909
What is -18852080 divided by 5?
-3770416
Calculate -99008612 divided by -17.
5824036
Divide 499557879 by 3.
166519293
4 divided by -34525744
-1/8631436
25010073 divided by -9
-2778897
Calculate 2765854 divided by 2765854.
1
-73944 divided by -80
9243/10
Divide -711040390 by -142208078.
5
Divide -997 by -64585.
997/64585
Divide -19211967 by -19211967.
1
-162954488 divided by -47956
3398
What is 263812032 divided by 9?
29312448
What is -5701159 divided by 2?
-5701159/2
Calculate 1 divided by 21252464.
1/21252464
Calculate -33113453 divided by -6.
33113453/6
What is -37879424 divided by -2367464?
16
Calculate 375446 divided by -2.
-187723
What is -90133722 divided by -1112762?
81
26055206 divided by 13027603
2
-23 divided by 521825
-23/521825
Calculate -973733760 divided by 6.
-162288960
What is -5945 divided by -2353?
5945/2353
Calculate -179266178 divided by 25609454.
-7
Divide -1059 by 127079.
-1059/127079
232121377 divided by 232121377
1
Divide -312091230 by -6.
52015205
Calculate 52 divided by -185875.
-52/185875
Divide -88619368 by -41.
2161448
Divide -17638855 by -1356835.
13
-1272 divided by -13787
1272/13787
Calculate 140039 divided by -131.
-1069
-69160 divided by -13832
5
Divide 505550 by 252775.
2
Calculate 44 divided by -461420.
-11/115355
What is -71228304 divided by -7914256?
9
-7565172 divided by 130434
-58
Divide 370 by 1686018.
185/843009
What is 658 divided by 3615?
658/3615
37788513 divided by 21
1799453
-2 divided by -164332893
2/164332893
-37394184 divided by 8
-4674273
85651788 divided by 3254
26322
What is -244 divided by -11342?
122/5671
Calculate -16866416 divided by 3673.
-4592
Divide -281248712 by -35156089.
8
Divide -70 by -29517.
70/29517
-545559315 divided by 3409
-160035
What is 17 divided by 2008817?
17/2008817
7054510 divided by 2033
3470
What is -280016604 divided by -1052694?
266
What is -1872484 divided by 7?
-1872484/7
What is 145359 divided by 716?
145359/716
What is 4471488 divided by 39924?
112
What is -101398257 divided by 2358099?
-43
Divide 791104 by -49444.
-16
Calculate 5 divided by 2303172.
5/2303172
Calculate 1068562079 divided by -183067.
-5837
Calculate 508158503 divided by 2.
508158503/2
What is 44212 divided by -6270?
-22106/3135
Divide -1973808 by 1523.
-1296
320449 divided by -6
-320449/6
31869 divided by 174
10623/58
Calculate -3215064 divided by -872.
3687
Calculate -2698485 divided by -1.
2698485
-3608437 divided by -212261
17
-233 divided by 7650
-233/7650
-2416149 divided by -9
268461
What is 307692 divided by 180?
8547/5
Calculate -9383034 divided by -3127678.
3
Divide -7548 by -1709.
7548/1709
What is 31230983 divided by 2303?
13561
Divide -3 by -3246395.
3/3246395
Divide 0 by -99535602.
0
Calculate -7954970 divided by -16402.
485
Divide -8817 by -607.
8817/607
Calculate 4052324 divided by -2.
-2026162
10466472 divided by 566
18492
-365116305 divided by 121705435
-3
What is -60241476 divided by 12?
-5020123
-10 divided by -2913799
10/2913799
-397 divided by -4487
397/4487
1502 divided by 2665
1502/2665
What is 8668980 divided by 1733796?
5
-1976972 divided by -988486
2
-11 divided by 26860616
-11/26860616
What is -7405180 divided by -185?
40028
Calculate 482559 divided by 57.
160853/19
What is 10 divided by 6392118?
5/3196059
Divide 176598312 by -47652.
-3706
What is 309461950 divided by 5?
61892390
Calculate 46559 divided by -5742.
-46559/5742
Calculate 252929281 divided by -11.
-22993571
What is 547350670 divided by 5?
109470134
-5 divided by 24695968
-5/24695968
What is -68873 divided by 148?
-68873/148
What is 863274 divided by -1?
-863274
Calculate -8861568 divided by 31424.
-282
Calculate 8257 divided by -14737.
-8257/14737
-54531320 divided by -234040
233
What is 1324308 divided by -220718?
-6
What is 113305635 divided by 279767?
405
Calculate -491394408 divided by -61424301.
8
What is -59 divided by 816811?
-59/816811
What is -27610657 divided by -27610657?
1
What is 1060019 divided by -177?
-1060019/177
What is -49468653 divided by 716937?
-69
7295649 divided by -479
-15231
Divide -119461284 by 5.
-119461284/5
Calculate 30 divided by -452148.
-5/75358
What is -9 divided by -10848301?
9/10848301
-14146836 divided by -33
428692
Calculate -77636153 divided by 4151.
-18703
5 divided by -43734293
-5/43734293
Divide 3581516 by -8693.
-412
Calculate -483516884 divided by 4.
-120879221
-4508 divided by -112107
4508/112107
Calculate 949 divided by -13065.
-73/1005
What is -1399 divided by 174235?
-1399/174235
Divide 19838266 by -7.
-2834038
What is -5 divided by -252758739?
5/252758739
Divide 2721705 by 118335.
23
What is 79970712 divided by 6?
13328452
Divide -179 by 27376.
-179/27376
-129775 divided by -78
129775/78
What is -11112225 divided by -16?
11112225/16
What is -701487138 divided by -6?
116914523
Divide -468424 by -464.
58553/58
What is 39851052 divided by -2?
-19925526
-63413152 divided by 376
-168652
What is 7791340 divided by -6?
-3895670/3
Divide -22382218 by -22382218.
1
Divide 5 by -3900996.
-5/3900996
What is -11578336 divided by 263144?
-44
What is -22 divided by 15492484?
-11/7746242
Divide -2377 by -4827.
2377/4827
Divide 6620320 by -5.
-1324064
Calculate 13932 divided by 617.
13932/617
What is 146544739 divided by -1?
-146544739
-28670190 divided by -115
249306
Calculate -10062834 divided by -6.
1677139
-46336752 divided by 8756
-5292
Divide 488660800 by 97732160.
5
Divide -174134996 by 166.
-1049006
What is -284129424 divided by -54?
5261656
What is -308122 divided by -34?
154061/17
-229700496 divided by 57425124
-4
What is -37642681 divided by -6?
37642681/6
What is -1494805 divided by -21?
1494805/21
What is 572260857 divided by 155379?
3683
What is -1753794 divided by 250542?
-7
376 divided by 12589
376/12589
What is 27 divided by 119370?
9/39790
Divide -162580 by 36.
-40645/9
Divide 147174121 by 5.
147174121/5
Divide -106613425 by -1535.
69455
What is -1726836 divided by 1812?
-953
Calculate 13046040 divided by -362390.
-36
Calculate 5 divided by -12528460.
-1/2505692
Calculate 43858580 divided by -1.
-43858580
Divide -1 by -141948917.
1/141948917
What is 2540891 divided by -11?
-2540891/11
5714285 divided by -5743
-995
Calculate 277305 divided by 598.
277305/598
Divide 25963539 by 119.
218181
857 divided by 469130
857/469130
600511743 divided by 2683
223821
Divide -595 by -18475.
119/3695
What is 43480307 divided by -1?
-43480307
What is -28068490 divided by -5?
5613698
-259570 divided by 8
-129785/4
-10957192 divided by -229
47848
Calculate -14133117 divided by 31.
-455907
-1588404 divided by -529468
3
-75904850 divided by -3036194
25
What is -66929912 divided by -329704?
203
What is 29971458 divided by 3993?
7506
0 divided by -2111222
0
Calculate 1269637400 divided by -3656.
-347275
What is 27910 divided by -65?
-5582/13
What is 37423141 divided by -133?
-281377
What is 186393092 divided by 29?
6427348
What is -1 divided by 1743152?
-1/1743152
Calculate 42419038 divided by 7291.
5818
-11036 divided by -9141
11036/9141
What is -80538 divided by 116?
-40269/58
Calculate -5 divided by 57094661.
-5/57094661
What is 987223 divided by 227?
4349
32 divided by 413579
32/413579
Calculate 84441630 divided by -2412618.
-35
What is -1750061 divided by -6?
1750061/6
Divide 9259250 by 22750.
407
Calculate 12631752 divided by -1278.
-9884
What is -649386 divided by -387?
1678
What is -3954462 divided by 3?
-1318154
Calculate -22215420 divided by -2221542.
10
What is -192649556 divided by | {
"pile_set_name": "DM Mathematics"
} |
3*w = q - 3, q - 7 = v*w for q.
3
Suppose -42 + 56 = -2*f + 3*t, 5*f - 34 = -4*t. Solve l + 11 = f*y, 0 = -5*l - 5*y - 7 + 12 for l.
-3
Let r be 214/2033 - (-148)/38. Solve r*x - 5*z = 33, -3*x - 28*z + 1 = -27*z for x.
2
Let u = -1475 + 1500. Solve -j = -d, -22*j + 25*j = -2*d - u for d.
-5
Suppose -20*f - 465 = -51*f. Solve -4*z = a - 0*a + f, 0 = 5*a + z - 20 for a.
5
Let s = 2540 + -2534. Solve -4*p + 6 = 3*n, -27 + s = -5*p + 3*n for p.
3
Suppose n + 38 - 37 = 0. Let z be -3 + 6 + (n - 2) + 1. Let r be (-3)/(-9) - (4/(-6) + z). Solve -t - 4*j - 6 = -r, -4*t - 5*j - 13 = 0 for t.
-2
Let l = -42180 + 42185. Suppose 3*p = -0*p + 6. Solve -b + 3 = p*u, -3*b + u - 3 = -l for b.
1
Let i be (-32)/(-20) - (-7)/5. Solve -4*f = -2*j + 6, 2*f - 3*j + 9 = i*f for f.
0
Let j(z) = 18*z**2 - z + 1. Let s be j(1). Suppose s = 21*c - 171. Solve 5*y - 4*q = 5, c*y + q = 4*y + 30 for y.
5
Let t(w) be the second derivative of -w**5/20 + w**4/3 + 5*w**3/6 + 5*w**2/2 - 13*w + 1. Let i be t(5). Solve -2*l + 1 + 20 = 5*s, l = i*s - 27 for l.
-2
Let x(q) = 52*q**2 - 2*q. Let i be x(1). Suppose -66*c + 480 = -i*c. Solve -3*t = j - 5*j - 35, 4*j + c = 2*t for j.
-5
Let p be 4/(((-20)/(-6) - 1)*156/182). Solve 3*y - p*o - 3 = 0, 2*y - 9*o + 4*o + 9 = 0 for y.
3
Let u be ((-3)/2)/((-2)/(-4)). Let w be ((-1)/u)/((-7)/(-42)). Let y = 775 - 775. Solve -3*b + w*b - 5*j = 11, y = 4*j + 8 for b.
-1
Let s be ((-294)/35)/(2/10). Let w be (27/1)/(s/(-28)). Solve -a + 4 + 10 = -3*q, -5*a + w = -2*q for q.
-4
Suppose 31*s + 57*s - 78 = 98. Solve -142 = 5*v + k - 157, 4*k - 24 = -s*v for v.
2
Let s = 75 - 80. Let a be s + ((-228)/95)/(3/(-10)). Solve 3*v + 5*q = -0*v + 31, a*q = -5*v + 25 for v.
2
Suppose 3*g - 6 = 6. Let d(z) = 0*z - 62 + 4*z**2 + 57 - 14*z. Let x be d(g). Solve 17 = -q + 4*a, q + 0*q + x*a = 11 for q.
-1
Let m be (-3)/(42/((-196)/14)). Let y(x) = 6*x**2 - 1. Suppose -4*d + 2*d - 2 = 0. Let h be y(d). Solve -5*q = -4*c - 7, h*q - 10 = 3*c - m for c.
2
Suppose 3*b = -2*b + 35. Let t(f) = 2*f**3 - f**2 - 10*f - 7. Let g be t(-2). Let v be (-17)/g - 28/(-49). Solve -4 = -i, 2*o = -v*i + b*i - 20 for o.
-2
Let l = 424 - 399. Suppose -3*c - 6 = 0, -4*w - 5 = -2*c - l. Solve g + 2*v = w, 4*v - 4 = -5*g + 10 for g.
2
Suppose -o + w = 48 - 46, -1 = 3*o - 2*w. Suppose -3*r + 0*p - 8 = 5*p, -4 = 3*r + 4*p. Solve -r*a + a + 15 = f, o = 3*a - 3*f for a.
4
Let m = 245 + -186. Let z = m - 56. Solve -r + 21 = 2*r - 2*d, 5*d = -z*r for r.
5
Suppose f + 0 + 1 = 4*d, -2*d = 4*f + 4. Suppose d = j - 79 + 9. Let p = j + -67. Solve -4*m - 3*i + 19 = 0, -p*m + 1 + 17 = 3*i for m.
1
Let w be -2 + 4 - (78 + 2). Let g(q) = 6*q**2 - 78*q - 76. Let r be g(13). Let z = r - w. Solve 13 - 4 = -5*a - 3*l, -z*l = 3*a + 6 for a.
0
Let m be (70/(-15))/((-3)/(-27)). Let t = m + 42. Suppose -7*p + 11*p - 20 = t. Solve 0 = -2*y - 2*b - 6, p*y - 3*b + 9 = -6 for y.
-3
Suppose 0 = -10*w - 457 - 283. Let l = 77 + w. Solve -2*k = -0*b + l*b - 17, 0 = -4*k + 16 for b.
3
Let c(o) = 5*o - 39. Let t be c(7). Let b be (-10)/t + 0 + 6/4. Suppose -b*i - 18 = -26. Solve 3*a = -a + i*u + 28, -4*a - 2*u + 12 = 0 for a.
5
Suppose 0 = -4*q - 5*d + 58, 2*d - 327 = -4*q - 275. Solve 0 = -3*p + 3*v - 15, -3*p - v + q = 19 for p.
-3
Suppose -11 = -4*t + 9. Let n = 708 - 712. Let o be (n + (-1 - -3))/2 + 3. Solve -t*h = z + 4, -o*z - z - 12 = h for h.
0
Let h(v) = v**2 + 10*v + 24. Let n be 13*(-2 - -1) + 5 + -1. Let c be h(n). Suppose -27*w + 24*w + c = 0. Solve -x + 2 + 3 = 4*j, x - j = -w for x.
-3
Let i = 9549 - 9547. Solve j = 30*k - 25*k + 26, i*j = -5*k - 8 for k.
-4
Suppose 4*f + f - 10 = 0. Suppose 2*m + 2*m = -m. Let r(a) = -a**3 - 2*a**2 - 3*a. Let s be r(m). Solve 0 = -5*u - f*d - 3, s = -4*u + d - 2 + 10 for u.
1
Let h(u) = -4*u**2 + 8*u - 23. Let n be h(5). Let j = n + 88. Solve -q + j = -3*q + x, -3*x = 5*q - 15 for q.
0
Suppose -3*o + 2*p + 13 + 34 = 0, p + 49 = 3*o. Solve -2*m + 188*v = 186*v + 2, 5*v = -m + o for m.
2
Suppose 0 = 8*v - 13*v + 2*b + 34, -4*v + 38 = 2*b. Solve 4*l = 5*z - 0*l + 10, 4*z + 5*l + v = 0 for z.
-2
Suppose -10*y = -630 - 160. Suppose 0 = 5*u - y + 59. Solve 0 = -f + 5*d + 20, 0 = f - u*d - 17 + 2 for f.
-5
Let d(g) = 17*g**3 + 19*g**2 + 13*g**3 - 47*g**3 + 24 + 18*g + 18*g**3. Let t be d(-18). Suppose -14 + t = 2*h. Solve 3*v = -4*a + 5*a, 0 = 5*a - h*v for a.
0
Let l(x) = x**2 + 6*x + 12. Let d be l(-5). Suppose -d*c + 4 = -10. Let y = -18 - -21. Solve -5*s + 5 = -y*u, 5*s - c*u = 4 + 1 for s.
1
Let v = 36086 + -36083. Solve -2*g = -z + 2*g + v, 31 = -5*z - 3*g for z.
-5
Suppose -32*n + 36*n = 5*g - 42, -33 = -4*g + 3*n. Solve 2*i - 5*s + g = 10, 2*s + 16 = -4*i for i.
-3
Suppose -487*i = -478*i - 36. Let y be (-28)/i*8/(-28). Solve 2*x - 3*t = 1 - 6, -y*t = -6 for x.
2
Let i(f) = 2*f**2 + 8*f + 10. Let x be i(-2). Suppose 18 = -12*y + 42. Solve -3*t + 5*z = 3, -x = t + y*z - 12 for t.
4
Let a be (19 - 17)/((-2)/(-14)). Suppose a = 2*d - 2*f, -24 = -2*d - 2*d + 2*f. Solve -x = 2*t + 5, -4*t = -d*x - 0*t - 11 for x.
-3
Suppose 5*m = -3*x + 13, 3*x + 6*m - 41 = 8*m. Suppose -j + 5*n + x = 0, 0 = 2*j + 3*n - 2*n. Solve u - 2*r - 7 + j = 0, 0 = 5*u - r - 3 for u.
0
Let y(s) = s**2 + 11*s + 13. Let w be y(-10). Let c = w - -4. Let q = -678 - -686. Solve u = -2*d + c - 1, 4*d + u - q = 0 for d.
1
Suppose 17 = -7*b - 25. Let i(g) = -8*g - 40. Let f be i(b). Solve f = 2*t, 0 = 3*l + 3*t - 13 - 8 for l.
3
Let g = -982 + 991. Solve 4*a = 16, -t + 13*a - g*a = 19 for t.
-3
Let f = -17073 + 17077. Solve f*n + 16 = -2*w, -7*w + 8*w = -5*n - 20 for w.
0
Let z = -1434 + 598. Let h = -817 - z. Solve l - h = 5*d - l, l = 4*d + 14 for d.
-3
Let y = 9345 + -9345. Solve -6 = -a - a - 2*g, -2*a - 3*g + 6 = y for a.
3
Let c(v) = v + 1. Let m be c(6). Suppose m = 2*o - 41. Suppose o*y = 22*y. Solve -l = -4*j + 12, -2*j = -5*l - y*j + 12 for l.
4
Let n(w) = w + 6. Let s be n(5). Suppose k - x = 4, -2*k - 4*x = 3 + 13. Suppose 14*p + 16 - 58 = k. Solve -6 = p*r + 2*l, -r - s = 4*r + 3*l for r.
-4
Let x be (-1)/(1 - (-3)/(-2)). Suppose n + 3 = -f, n - 4*f = -7 + 19. Let p be 6/15 + n - 1104/(-115). Solve i + 6 = -3*r, -x*i = -4*i - 4*r - p for i.
-3
Let o = 12 + -9. Let d(j) = j**2 + 1. Let c be d(-1). Suppose 0 = o*q + c*q - 15. Solve -q*p = -l + 20, 3*p + 2*p - l + 30 = 0 for p.
-5
Suppose -10*k + 8*k = 0, 0 = -3*c - 2*k - 21. Let q be 4 - ((-4)/18 + c/9). Solve -6 = 3*w + 4*y, 2*w - 13 = 3*w + q*y for w.
2
Suppose x = -4*y + 26, 29 = 2*y + 4*x + 9. Solve i + 4*f = 14, -3*i + 10*f = y*f + 6 for i.
2
Let d(g) = 2*g**2 - 7*g - 2. Let q be d(4). Let f be (-2 + 2 - -3) + q. Suppose 35 = -52*s + 57*s. Solve 12 = 4*b, s = -f*r - 3*b + 1 for r.
-3
Let n be 22/11 - 6/2. Let m be 10 - (n*(1 + 0) - -4). Suppose -m*b + 5 + 23 = 0. Solve -g = -b*q + 10, -5*g + 2*g = 2*q - 12 for q.
3
Let r be (96 - 96)/(5/(15/(-6)) + 5). Solve -2*d = -1 - 5, 5*j + 3*d - 14 = r for j.
1
Let i be (-3)/12 - 2172/(-48). Suppose 0 = 17*w - i + 11. Solve 0*a + 24 = -5*a - w*l, 0 = 3*a - 2*l + 8 for a.
-4
Suppose 3*b = -2*j + 45, 5*b + 7*j = 10*j + 37. Solve -2*p - 4*o = 0, -5*p + 15*o - b*o = 28 for p.
-4
Let j = 8913 - 8908. Solve j*q - 5*w + 1 = -49, 3*q = -5*w + 2 for q.
-6
Let z be 32/1 + -7*(-4)/14. Suppose -33*q = -z*q. Solve q = -3*o - 5*t + 25, 0 = -o - 0*o + 4*t - 20 for o.
0
Let c(u) = -u + 19. Let a be c(-9). Suppose -5*v = -3 + a. Let t = 4 - v. Solve -3*j - 2*g - 11 = 0, 2*j + t = -j - 3*g for j.
-5
Let n = 957 - 952. Solve k - 17 = -15, -n*t + 4*k = 8 for t.
0
Suppose 5*i - 48 = 262. Let t = i - -48. Suppose 0 = 5*n - t + 95. Solve 2*f = n*p + 4*f + 9, -p - 5*f = 16 for p.
-1
Let n = -25 + 27. Suppose -n*f + 21 = 3*v + f, f - 27 = -3*v. Let i be ((-312)/(-20) - 4) + 4/v. Solve -4*w + 4*j - 8 = 0, -w - w = -4*j + i for w.
2
Let n(m) = m**3 + 5*m**2 - 6*m + 2. Let i be n(-6). Let j = -18 - -20. Suppose 56 = -11*o + 19*o. Solve -o*c - 34 = -i*c - 3*r, -26 = 4*c - j*r for c.
-5
Suppose -p - 3*x = 9, -123*x - 16 = -119*x. Solve -15*y = 4*a - 18*y + 20, 14 = -p*a + 2*y for a.
-2
Let m = 59 - 75. Suppose -3*p + 6 + 51 = 0. Let x = m + p. Solve r - 2*j + 5 = 0, 0*r - x*r = -2*j + 3 for r.
1
Let v(y) = y**3 + 22*y**2 - 77*y - 37. Let a be v(-25). Solve -z + 4*k = 2 + a, 3*z = 5*k - 24 for z.
-3
Suppose 4*f + 0*d = -2*d - | {
"pile_set_name": "DM Mathematics"
} |
n + 20 = p*n. Solve -n*w + 11 = -9 for w.
5
Suppose -33*h = -32*h + 38. Let g be -1*(h - (-15)/(-5)). Suppose w - g + 25 = 0. Solve 4 = -4*t + w for t.
3
Suppose m - 5*m = -20. Let p(n) = 1218*n**2 + 10*n - 1. Let c be p(1). Suppose 1226*q = c*q. Solve q = -m*h + 8*h - 6 for h.
2
Let i(o) = 18*o + 742. Let u be i(-41). Solve -22*g = -62 - u for g.
3
Let f = -44 + 46. Suppose 8 = f*m - 8. Suppose -m = -w - w. Solve -w = 3*r - r for r.
-2
Let g = 5585 - 5562. Solve 17*s - g = 28 for s.
3
Let v(f) = -f**3 - 8*f**2 - 3*f - 97. Let w be v(-9). Solve 0 = -w*i + 39 + 5 for i.
4
Let z = -42 + 36. Let b be 494/z + 110/(-66). Let w be (48/b)/(4/(-14)). Solve -r + w = 3 for r.
-1
Let x be (-1)/(-2)*(9 + -9). Let f be -2 - (40/(-7) - (-12)/(-42) - 9). Solve x = -5*c - f + 28 for c.
3
Let v be (0 - (3 + 93/(-6)))*2. Suppose v = -l - 4*n - 18, -4*n = -5*l - 215. Let i = -41 - l. Solve f - i = -f for f.
1
Suppose -6 = -k - 2. Suppose 3*g = -j + 3, k*g + 0*g - 4 = -3*j. Let w(i) = i**3 + 16*i**2 - 19*i - 33. Let r be w(-17). Solve -r + j = t for t.
-1
Let c(p) be the first derivative of -2*p**2 + 208*p + 80. Let o be c(51). Solve 0 = 7*r - o*r + 9 for r.
-3
Let h be 1/(8/24*1). Suppose 0 = -h*y + 38 - 26. Solve -4*t = -0 - y for t.
1
Let f(w) = 5*w + 33. Let p be f(-7). Let q be 174/29 + p + 0. Solve q*g - 5*g + 1 = 0 for g.
1
Let a(f) = 1034*f + 1088. Let y be a(-1). Solve -497*t - y = -515*t for t.
3
Suppose 4 = 3*m - 2*m, 2*m - 164 = 3*k. Let c be 698/8 - (-13)/k. Suppose -c*p + 88*p - 8 = 0. Solve -b = -3*b - p for b.
-4
Let y(r) = r**3 + 4*r**2 - r - 12. Let p be y(-3). Suppose p = -s - s - z + 12, 3*s - z - 8 = 0. Solve -s*q = -q - 9 for q.
3
Suppose -2*j + 54 = v, 5*j = -7*v + 13*v - 409. Solve -51*m + v*m + 65 = 0 for m.
-5
Suppose 0 = 9*x - 12*x. Let u be ((-162)/(-12))/(17/((-340)/(-30))). Solve q - u + 7 = x for q.
2
Let l = 88 - 88. Suppose l = w + 5*w - 54. Suppose -6*r - w*r = -r. Solve 9 = -r*v + 3*v for v.
3
Let b(a) = 17*a - 970. Let p be b(64). Solve 21*v + 50 = -p for v.
-8
Suppose 0*z = n - 3*z - 13, -4*n - 4*z = -36. Suppose -n*b + 106 = -44. Solve -b = -4*r - 7 for r.
2
Let a(y) = -97*y**2 + 807*y - 191. Let z be a(8). Suppose -m + 3*m = 8. Solve 73 = -m*f + z for f.
-4
Let k(o) = 3*o**3 + o. Let i be k(-1). Let l be i - ((13 - 22) + 3 + 0). Suppose -5*f + 1 = -d - 12, -l*d - 4*f + 16 = 0. Solve 1 = c + d for c.
-1
Suppose 0 = 1484*x - 1493*x. Solve x = -33*d - 37*d + 490 for d.
7
Let j(x) = 24*x + 58. Let q be j(-6). Let w = q - -87. Solve -w = o - 2*o for o.
1
Suppose 892*r - 1177 = 53*r + 501. Let q = 0 - -2. Let p = 3 - q. Solve -p - r = y for y.
-3
Let i(v) be the second derivative of 5*v**3/3 - 20*v**2 + 94*v. Let y be i(4). Solve -4*k + 7 - 3 = y for k.
1
Let m(j) = -11*j - 578. Let n be m(-54). Solve -198 = -n*u - 17*u for u.
6
Let g be (-52)/(-20) + 4/10. Suppose 3*z = -2*d + 3*d - 70, 0 = -d - z + 70. Let x = d + -50. Solve g*p + x = -p for p.
-5
Suppose 28*m = -23*m + 204. Suppose 0 = m*p - 2*w + 6, -68*p = -69*p + 4*w - 12. Solve p*z = -7*z + 28 for z.
4
Suppose -5*u = n - 429, n - 315 = -4*u + 113. Let b = 425 - n. Let v(o) = -o - 2. Let l be v(-6). Solve -b + l = 3*a for a.
1
Let w be (16/24)/((-2)/(-3))*-5. Let h be 2/1 - 10/w. Solve -y + 3*y = h for y.
2
Let k = 279 + -269. Suppose -2*c - 3*d = -81, -5*c - 240 = -k*c + 5*d. Solve c = 4*f - 13*f for f.
-5
Suppose -3*p - 11 = -10*h + 6*h, 3 = -3*p. Let q = 18 - 17. Suppose -j + q + 2 = 0. Solve -j*f = h*f + 5 for f.
-1
Suppose c + h = -14 - 82, -5*c - h - 460 = 0. Let a be (c - -1) + -2 + -1. Let k = a + 98. Solve k + 0 = -y for y.
-5
Let b(a) = -13*a**3 - 13*a**2 - 2*a + 4. Let q(m) = -2*m**3 - m**2 - m + 1. Let t(o) = -b(o) + 7*q(o). Let n be t(5). Solve -85*y + n = -88*y for y.
-1
Let s(k) = k**3 + 19*k**2 - 42*k + 15. Let g be s(-21). Suppose 0*l + l = 0. Suppose -5*t - 15 = -0*d + 5*d, l = -2*d - 10. Solve -g = -t*u + 5*u for u.
-5
Let d be (0 + 3/(-6))*(-144)/(-9). Let q be (-2)/d - (35/(-4) + 3). Solve 0 = -q*h - 30 - 0 for h.
-5
Suppose 3*s - d - 9 = 0, 5*s - 7*d - 23 = -8*d. Suppose -6*j + 9*j - 24 = 0. Let q = j - s. Solve 2*v - v = q for v.
4
Let s be (13*(-30)/(-65))/(0 + 1). Let k(p) = p**2 - 6*p + 2. Let y be k(s). Solve -8*r + y = -10*r for r.
-1
Suppose -10*s = -8*s - 4. Let i be (-3 - -7) + s/(-1). Suppose -2*c + 47 = 3*p - 12, -2*c = -i. Solve -5*v - 4 + p = 0 for v.
3
Let o = 1200 + -1137. Solve 17*d + o + 5 = 0 for d.
-4
Let f be ((-10)/12 + 21/14)*3. Let y(h) be the third derivative of h**6/120 - h**5/60 - h**4/12 + 2*h**2. Let d be y(-1). Solve d = -4*c + f*c for c.
0
Let s be 72/30*(-12)/432*-30. Solve -4*c + c = -s*c for c.
0
Let p(v) = 2*v**2 - 24*v - 537. Let x be p(-13). Solve 0 = x*h - 119*h for h.
0
Let z be 10/(-14)*(-30 + 23). Suppose 3*l + 52 = 2*h, 8*l = z*h + 6*l - 141. Solve 5*m = h - 9 for m.
4
Let w(i) = -5*i**2 - 75*i - 99. Let o be w(-12). Solve -11*d + 26 - o = 0 for d.
-5
Suppose -2*u - 31 = -u. Let k = 35 + u. Suppose -4*a = -3*w - 1, 5*a = a + k. Solve -i = -2 - w for i.
3
Let i be (-55 + 55)*1/6. Solve i = -10*z - 4 + 24 for z.
2
Suppose 0 = -3*n + 3*z + 24, -2*n - 18*z + 16*z + 4 = 0. Solve -n*x = -94 + 79 for x.
3
Let u be 7 - (13 + -20 - -5). Solve -u*c = -18 + 27 for c.
-1
Let z be -3 - ((10 + -9)*(-15 + -4) - 2). Solve z*x + 0*x = 0 for x.
0
Let d be -6 + 8/(-2) + 16 + -9. Let s be -14*d/3*1. Solve -9*y = -5 + s for y.
-1
Let p(d) = -749*d + 3026. Let z be p(4). Solve -22*w = -z*w - 72 for w.
-9
Suppose 2 = -6*l - 88. Let a be 5*(-3)/(-6)*(-12)/l. Suppose 4*m - 15 = -3*j - 0*m, 0 = a*j + 5*m - 17. Solve 0 = -u - 4 - j for u.
-5
Let s(i) = -i**2 - 22*i - 102. Let y be s(-7). Suppose -3*m - 4*x = -22, -4*m + 4*x = y*x - 4. Solve -18 = -m*r - 10 for r.
4
Suppose 2*g + 3*r = 29, -4*g + 3*g = 3*r - 13. Solve g*a = -549 + 629 for a.
5
Let l = 12738 - 12486. Solve 0 = 186*n - 228*n - l for n.
-6
Let i(z) = -7*z - 198. Let h be i(-18). Let u be (h/54)/((-2)/6). Solve -u*v = 41 - 21 for v.
-5
Let b = 117 + -87. Suppose -n - 4*n = -b. Suppose 5*j - 16 + n = 0. Solve j = -5*k - 3 for k.
-1
Let r(c) = -15*c - 138. Let n be r(-10). Solve n*x = 20*x - 10*x for x.
0
Suppose -3*y + 8 + 9 = -j, y - j = 9. Suppose -l + 12 = 2*d, -5*l + y = -4*d - 0. Let u be 2/5 + ((-64)/40)/l. Solve u*b - 2*b - 6 = 0 for b.
-3
Let y(r) = -7 + 25*r - 7*r - 3*r - 12*r. Let x be y(-9). Let n = -31 - x. Solve n*w = -w for w.
0
Suppose 3*i - 118 + 6 = -a, 272 = 2*a - 2*i. Solve a*b + 24 = 122*b for b.
-3
Suppose 2*b - 34 = -0*p - 4*p, -2*b = 2*p - 18. Suppose -p*u + 1 + 39 = 0. Solve -2 = u*h - 7 for h.
1
Let m be (-3)/21 - 33/42*-4. Suppose -19*b - n - 28 = -21*b, -m*b + 44 = -n. Suppose -2*p + 2 = 5*z - b, -5*p = 3*z - 26. Solve 6*t - z*t + 16 = 0 for t.
-4
Let l(w) = -185*w**3 - 8*w**2 - 51 - 20*w**2 + 94*w**3 - 2*w + 90*w**3. Let p be l(-28). Solve -p*b - 15 = -0*b for b.
-3
Suppose -1455*r = -1441*r - 644. Solve 90 = -11*y + r for y.
-4
Suppose -3*h - 74 - 6 = -19*h. Let j be (-1)/3 - (-16)/(-6). Let z be (-2)/(-4)*(1 - j). Solve h*f = 12 - z for f.
2
Suppose -2 = 11*m - 24. Suppose 0*g = 3*g - 2*z - 2, -m*z = 2. Solve -4*u - u + 15 = g for u.
3
Let j(i) = i**2 - 55*i + 653. Let a be j(39). Solve -3*s = a*s for s.
0
Let s be (2/(-8))/(-1) - 1156/16. Let o = s + 38. Let k = -28 - o. Solve p = -p + k for p.
3
Let l = -4 + 30. Let g(u) = -3*u**3 - 2*u**2 - 2*u + 6. Let c be g(-2). Let m = c - l. Solve 0 = -3*q - m*q - 9 for q.
-3
Let t be (-1953)/558*-6*3. Solve 42*l = 105 + t for l.
4
Suppose -200*r + 195*r + 30 = 0, u - 4*r - 374 = 0. Solve 28*v = -650 + u for v.
-9
Suppose 2*n - 22 = 2*d, n + d - 16 = -n. Let x(j) = -485*j + 122220. Let a be x(252). Solve -n*b - 2*b - 33 = a for b.
-3
Suppose 4 - 52 = -4*s. Suppose s = 5*v - v. Suppose 0 = -d + 2*j + 14, 2*j + 8 = -v*d - 2*j. Solve t - d + 8 = 0 for t.
-4
Suppose -8*v = -5*v - 4*h - 1066, -1786 = -5*v + 2*h. Solve v*c - 363*c = 35 for c.
-7
Let h(n) = n**3 + 10*n**2 + 10*n + 6. Let t be h(-9). Let u be t - -34*(3/(-6) + 1). Suppose 20 = -u*a + 19*a. Solve a*r = r + 12 for r.
4
Suppose 0 = y - 68 + 44. Solve 0 = y*u - 27*u - 15 for u.
-5
Let x = 39 - 39. Let r = 675 + -659. Suppose -4*p - 2*h = h - 32, 4*h - 21 = -p. Solve x = c - p*c + r for c.
4
Let f be -3 - ((-3)/(-1) + -9). Suppose 0 = -f*r - x + 14, | {
"pile_set_name": "DM Mathematics"
} |
33*u**2).
3*u**5
Expand (3*l**3 + 0*l**3 - l**3)*(-l + 6 - 6)*(2 - 2 - 3).
6*l**4
Expand k**4 - 17*k**3 - 19*k**3 - 90*k**3 + (-k**4 - 4*k**4 + 4*k**4)*(4 - 4 + 2).
-k**4 - 126*k**3
Expand (-2*g - 3 + 3)*(0 + 3 - 5)*(0 - 3 + 1).
-8*g
Expand (1 - 1 + i)*(4 + 57 - 6).
55*i
Expand (-4*p**3 + 6*p**3 + 2*p**3 + (4 - 4 - 2*p**2)*(-2*p - 2*p + 5*p) + 5*p**3 - 12 + 12)*(2*p - 2*p**2 - 2*p) + p**5 - 2*p**5 + 2*p**5.
-13*p**5
Expand (3 - 2 + 0*x - 2*x)*((5 - 2 - 5)*(-x + x + 4*x) + 3*x + 2*x - 4*x).
14*x**2 - 7*x
Expand p**4 + 4*p**4 - 3*p**4 - 2*p**4 - 1 + 1 + (2*p - 2*p - p**3)*(4 - 4 + 2*p) + (-24*p + 24*p + 10*p**2)*(p**2 + 0*p**2 - 2*p**2).
-12*p**4
Expand -11 - 11*d - 2 - d**2 + 10*d + 2*d**2 + d**2 + d**2 + (-5*d + 3*d + 0*d)*(2*d + 2 - 2) - d**2 - 1 + 1.
-2*d**2 - d - 13
Expand (3*r - 2*r + 0*r)*(3*r**2 - 2*r**2 - 6*r**2).
-5*r**3
Expand -h**3 - 3*h - h + 3*h + (-2*h**2 + 4*h**2 + 7*h**2)*(h + h - h).
8*h**3 - h
Expand -23*p**2 + 9*p**2 + 13*p**2 + (2*p - 5*p + p)*(-5*p + 6*p - 5*p).
7*p**2
Expand (-6*l + 2*l + 0*l + (l - 2*l + 0*l)*(3 + 4 - 5))*(-1 + 1 + 2)*(0*l - l + 3*l).
-24*l**2
Expand (8 + 7*i**2 - 4*i**2 - 1)*(-4*i**2 + 2*i**2 + 4*i**2).
6*i**4 + 14*i**2
Expand (-3 + 5 - 1 + (-4 + 1 + 1)*(2 + 2 - 2) - 3 + 3 - 12)*(2*l + 2*l - l).
-45*l
Expand (3*s - 4*s - s)*(-2 - 12 + 2) + s + 1 - 1.
25*s
Expand -4*b**2 + 0*b**2 - b**2 + (-2 + 0 + 0)*(4*b**2 + 0*b**2 - 3*b**2 - b).
-7*b**2 + 2*b
Expand -a + a**4 + a + 2*a**4 + 4*a**4 - 5*a**4 + (2*a**3 - 2*a**3 - 3*a**3)*(a + 0 + 0) - a**2 + 2*a**4 + a**2.
a**4
Expand (4 - 2 - 4)*(2*q**4 - 2*q**3 + 2*q**3) + q**2 - 2*q**2 - 17*q**4 + 9*q**4.
-12*q**4 - q**2
Expand -4*q + 0*q + 3*q + (-2 + 5 - 1)*(2 + 2*q - 2) + 106 - 12*q - 106.
-9*q
Expand (2*y**2 - 3*y**2 + 2*y**2)*(y + y - 4*y) + 0*y + 5*y**3 + y - 6*y**3.
-3*y**3 + y
Expand (40 - 21 + 22)*(-2 + 2 + 2*j + 1) + 3*j + j - 3*j.
83*j + 41
Expand (3*p**3 - 3*p**3 + p**4)*((-2*p + 2*p + p)*(-1 + 2 - 2) + (5 + 1 - 4)*(-2*p + 6*p - 2*p)).
3*p**5
Expand (2 + 1 - 2)*(-3 + 0 + 1)*(-j + 4 - j - 3).
4*j - 2
Expand 2*t - 3 + 2 + 2 + t + 0*t - 2*t + (-2 + 2 - 1)*(-t - 2*t + t) + 2*t - 1 + 1 + 0 - t + 0.
4*t + 1
Expand (-2*q + q - q)*(-1 - 3 + 5).
-2*q
Expand (s + 0*s - 3*s)*(-22 + 0 + 2).
40*s
Expand (2*b**5 - 2*b + 2*b)*(4 - 3 - 2 + (-3 - 4 + 5)*(0 - 1 + 2) + 0 + 0 - 1 - 1 - 4 + 3 + (3 - 5 + 1)*(-3 + 1 + 3) + 2 - 2 - 3 + 2 + 1 - 2 + 4 + 0 + 1).
-8*b**5
Expand (-3 + 4 + 1)*(-6 + 7 + 12)*(h + 0*h + h).
52*h
Expand (0*y + 0*y + y**2 + 3 - 3 + 2*y**2 + (2*y + 2 - 2)*(-3*y + 2*y + 2*y) + 0*y + 2*y**2 + 0*y + 4*y**2 - y**2 - y**2)*(2*y**2 - y**2 - 6*y**2).
-45*y**4
Expand (-6*t**2 + 3*t**2 + 5*t**2)*(-2*t - 3*t - 3*t) + 4*t**3 - 3*t**3 - 2*t**3.
-17*t**3
Expand (-2*s - 7*s - 16*s)*(1 - 3 + 0).
50*s
Expand -g**3 - 3*g**3 + 2*g**3 + (-g**2 + g**2 - g**2)*(3*g - g + 0*g) - 2 - g**3 + 2 + (-6*g + 3*g + 4*g)*(2*g - 2*g - g**2) + 4*g**3 + 0*g**3 - 6*g**3.
-8*g**3
Expand (1 - 1 + 2*k**2)*(-k + 6*k + 0*k) + k**2 + k**2 - 11*k**3 + 8*k**3.
7*k**3 + 2*k**2
Expand (3*o**2 - 7*o**2 + 2*o**2)*(5 - 4 + 4).
-10*o**2
Expand (0 - f + 0 + (-4*f - f + 3*f)*(5 + 0 - 3) - 2*f + 2 - 2 - 3*f + 2*f + 3*f)*(-7 + 11 + 22).
-130*f
Expand (2*z - 1 + 1)*(-3*z + z**2 + 3*z) - 8*z + 8*z - 4*z**3 + (2*z - 3*z + 2*z)*((-2*z + 1 - 1)*(-z + z - 2*z) - 22 + 22 + 2*z**2).
4*z**3
Expand (8*b**2 - 1 + 1 + (0*b + 2*b - 4*b)*(3 - 3 - 2*b))*(2 - 2 + 7*b).
84*b**3
Expand g**4 - g**4 + 2*g**4 + (-2 + 7 - 1)*(2*g**4 - g**4 - 4*g**4).
-10*g**4
Expand (0 + 1 - 2)*(0*n + n - 5*n)*(-2 + 2 + n**3).
4*n**4
Expand (-p**3 + 7*p**3 + 0*p**3)*(-p**2 - p**2 + 0*p**2) - p**5 - p**5 + p**5 - p**5 - p**5 - 3*p**5.
-18*p**5
Expand -3*z**4 + 25*z**4 + 8*z**4 + (-5*z**3 - z**3 + 3*z**3)*(-2 + 2 + 2*z).
24*z**4
Expand (4*f - 2*f**2 - 4*f)*(-f**2 + 2*f**2 + 0*f**2) + 2*f**4 - 3*f**4 + 2*f**3 - 4*f**3.
-3*f**4 - 2*f**3
Expand (-2*r - 144 + 144)*(3 + 1 - 2 + (-2 + 0 + 1)*(6 - 4 - 4) + 2 - 6 + 2).
-4*r
Expand (2*g**4 - g**3 + g**3)*(g + 5 - 5) + (2*g**5 - 2*g**5 + g**5)*(-2 + 3 + 1) + g - g - g**5 + 3*g**2 - 3*g**2 + g**5.
4*g**5
Expand (2*p - 4*p + 0*p)*(-4*p - 2*p**3 + 4*p) + 5*p**4 + 0*p**4 - 14*p**4.
-5*p**4
Expand (-3 - 2 + 3)*(-c**2 + 1 - 1 + (2*c - c - 2*c)*(0*c - 2*c + c) - c**2 + 3*c**2 + c**2).
-6*c**2
Expand (1 - 2 - 1)*(2*t - 3*t + 3*t) + 3*t + 3*t - 5*t - t - 1 + 1.
-4*t
Expand 2*m**5 - m**5 + m**5 + (2*m**3 + 0*m**2 + 0*m**2)*(0*m**2 + 2*m**2 - m**2) + 5*m**5 - 6*m**5 + 5*m**5.
8*m**5
Expand (-3*l**2 + 2*l**2 + 0*l**2)*(4 + 2 - 3) + (-l + 0*l + 4*l)*(3*l - 3*l + 2*l).
3*l**2
Expand (3 + 3 - 5)*(-z + 1 - 1)*(-2 - 1 + 2) + (2*z + 3*z - 4*z)*(-3 - 2 + 7).
3*z
Expand (3 + 2 - 4)*(-l + l - l).
-l
Expand (2 - 3 - 1)*(-394*m**2 + 396*m**2 + 9*m + 26*m).
-4*m**2 - 70*m
Expand (2*g**2 - 3*g**2 - 2*g**2 + (1 + 2 - 4)*(3*g**2 - 2*g**2 + 0*g**2))*(g**3 + 3*g**3 - g**3).
-12*g**5
Expand ((2 - 1 + 1)*(-3*t + 0*t + t) + t - t - t + 3*t - 2*t + t - 2*t + 2*t + 2*t)*(0*t - t - 3*t).
4*t**2
Expand (-d + 2*d + 3*d)*(2*d + d - 4*d).
-4*d**2
Expand 1 - l - 1 + 2 + (2 - 1 - 3)*(-2*l + 0 + 0) + 2*l - 2*l - l.
2*l + 2
Expand -2*g**4 + 3*g**4 + 0*g**4 - 14*g**4 + 70*g - 70*g - 4*g**4 + g**4 + g**4 + (-1 + 1 - 2*g**3)*(4*g - g - g) - g**4 + 3*g**2 - 3*g**2.
-20*g**4
Expand (-4 + 2*l + 4 - 2)*(-4*l**3 - 2*l**3 + 5*l**3).
-2*l**4 + 2*l**3
Expand (4 - 5 + 2)*(-2*g + 0*g + 0*g).
-2*g
Expand 5*s**3 - s + s - 2*s**3 + 0*s**3 + 0*s**3 + (4*s**2 - 5*s**2 - 2*s**2)*(-5*s - s + 4*s) + 0*s**3 + 4*s**3 - 2*s**3.
11*s**3
Expand (1 + 2 - 2)*(-4*n**4 - n**5 + 4*n**4) + (4 - 2*n**3 - 4)*(4*n - n**2 - 4*n) + (-2*n**4 - 1 + 1)*(0*n + 2*n + 0*n) + 1 - 1 + 2*n**5.
-n**5
Expand (4*p - 4*p + p**2)*(4 - 3 - 3) + 2*p**2 + 1 + 0*p**2 - 8*p**2 + (1 + 2 - 1)*(4*p**2 - 2*p**2 - p**2) + 3*p**2 - 5*p**2 + 3*p**2.
-5*p**2 + 1
Expand (-g**3 - 1 + 1)*(g**2 + 2*g**2 - 2*g**2) + 2*g**5 + 0*g**2 + 0*g**2 + 3*g**2 - 6*g**5 - 3*g**2.
-5*g**5
Expand (-1 + 1 - 2)*(n + 0*n + 0*n)*(-2*n**3 + 3*n**3 - 2*n**3).
2*n**4
Expand (7*i - 4*i + 2*i)*(3 - 1 + 1) + (1 - 1 + i)*(-4 + 5 - 4).
12*i
Expand (b - 2*b - 4*b)*(-2 - 1 + 4) + 3*b + b + 2*b + 3*b - b - 4*b.
-b
Expand (-g**4 - 2*g**2 + 2*g**2)*(2 + 1 - 5) + (0*g + 6*g + 2*g)*(3*g**3 - 5*g**3 + 3*g**3).
10*g**4
Expand (5*s**2 + s**2 - 5*s**2)*(1 - 8 + 3).
-4*s**2
Expand (27 - 10*r - 27)*(2 - 1 + 1) - 3*r + r + 3*r + (1 - 4 + 1)*(-2*r - 3*r + 3*r) + 3*r + 0*r - 2*r.
-14*r
Expand l - l**5 - l + (3*l + l - 6*l)*(2*l**3 - 2*l**3 + 2*l**4) + 2*l**5 + 0*l**4 + 0*l**4 + (53 + 11*l - 53)*(l**2 - 3*l**4 - l**2).
-36*l**5
Expand (0*q**2 + 2*q**2 - 3*q**2)*(-4*q**3 - 6*q**3 - 3*q**3).
13*q**5
Expand -q**4 + 47*q**3 - 47*q**3 - 5*q**2 + (q**3 + 0*q**3 + q**3)*(q - 4*q + 5*q).
3*q**4 - 5*q**2
Expand (0 + 1 + 2)*(-30 + 30 + 2*f + 4*f**3).
12*f**3 + 6*f
Expand (-3*j**3 - 2*j**3 + 3*j**3)*(3 + 2*j**2 - 3) - 4*j**5 + 4*j**5 + 2*j**5 + 4*j**5 + 2*j**5 - 3*j**5.
j**5
Expand -2*p - 1 - 1 - p + (-6*p + 3*p + 2*p)*(-1 + 4 - 2).
-4*p - 2
Expand (-2*x**3 - x**3 + x**3)*(2*x + 15*x + 3*x).
-40*x**4
Expand (-j + 0 + 0)*(-3*j**3 + j**3 + j**3) - 148*j**3 + 148*j**3 - 43*j**4.
-42*j**4
Expand (0*x**2 + 3*x**2 - 4*x**2 - 4*x**2 + 5*x**2 + 0*x**2 + (6*x**2 + 0*x**2 - 4*x**2)*(4 - 6 + 7))*(-5*x + x**2 + 5*x).
10*x**4
Expand (-6*x**2 + 49*x - 51*x - 2 + 1)*(-2*x + 3*x - 3*x).
12*x**3 + 4*x**2 + 2*x
Expand -k + 2 - 2 + (2 - 4 + 4)*(3*k + 4 - 4).
5*k
Expand 4 - 7 - a - 7 - a + 0*a - a + (a + 2*a - a)*(1 + 5 - 4).
a - 10
Expand (-58 + 23 - 13)*(s - s + 2*s**2).
-96*s**2
Expand (2*p - 2*p + 2*p**4)*(-3*p - p + 3*p) - 24*p - 2*p**5 - 5887 + 5887.
-4*p**5 - 24*p
Expand (2*h**2 - 2*h**2 - 2*h**3)*(-1 - 2 + 1) + 14*h**2 - 7*h**3 - 14*h**2 - h**3 - 4*h**3 + 4*h**3.
-4*h**3
Expand (-2*z**2 + 2*z**2 + 2*z**3 + 2*z**2)*(5*z - 3*z + z)*(0 + 5 - 3).
12*z**4 + 12*z**3
Expand (2*k + 0*k - k)*(2*k**3 - 2*k**3 + k**3) + (-4 + 3 + 3)*((-5*k**3 + 0*k**3 + 3*k**3)*(-k + 4 - 4) + 3*k**4 - 7*k**4 - 26*k**4).
-55*k**4
Expand (2*i - 2*i - 2*i**2)*(-2 + 0 + 4)*(7*i - i + 14*i).
-80*i**3
Expand (-h + 0*h - h - 2)*(-14 + 6*h**2 + 14).
-12*h**3 - 12*h**2
Expand (-2*a + 2*a**2 + 2*a)*(a**3 - 4*a**3 + 4*a**3) + 6*a**5 + 73*a**4 - 73*a**4.
8*a**5
Expand (-3 + 5 - 3)*(-2*z + 4*z - 5*z)*(0*z + 4*z + z)*(-2*z**2 + 0*z**2 + z**2).
-15*z**4
Expand -11*m - 3 + 9*m + 2 + (2*m - 3*m + 3*m)*(-2 - 1 + 5).
2*m - 1
| {
"pile_set_name": "DM Mathematics"
} |
+ 232*w**3/15 + 8*w**2/5 - 2752*w/15 - 3712/15 = 0?
-2, 4, 116
Let 5*z**4 - 205*z**3 - 1290*z**2 + 6280*z + 7360 = 0. What is z?
-8, -1, 4, 46
Factor -3*i**2/4 + 2067*i/2 + 54249/4.
-3*(i - 1391)*(i + 13)/4
Factor -4*q**2 + 308224*q - 5937627136.
-4*(q - 38528)**2
Suppose 4*y**4 - 6292*y**3 + 130944*y**2 - 895232*y + 1986560 = 0. What is y?
5, 8, 1552
Determine b so that 50*b**5 + 3485*b**4 + 5800*b**3 + 1345*b**2 - 1020*b = 0.
-68, -1, 0, 3/10
Suppose 1642*n**3/5 + 658*n**2 + 1654*n/5 + 6/5 = 0. What is n?
-1, -3/821
Let -2*s**4/3 + 5218*s**3/9 - 1414340*s**2/9 + 113032192*s/9 - 24909248/3 = 0. Calculate s.
2/3, 141, 364
Suppose 5*z**2 - 23655*z - 23660 = 0. Calculate z.
-1, 4732
Suppose a**2/8 - 121799*a/4 - 243599/8 = 0. Calculate a.
-1, 243599
Factor -36*n**2 - 1612*n - 7160.
-4*(n + 5)*(9*n + 358)
Factor -961*n**3/2 - 46190*n**2 - 184576*n - 188416.
-(n + 92)*(31*n + 64)**2/2
Solve 4*r**5 - 28*r**4 - 1156*r**3 - 6932*r**2 - 8448*r + 16560 = 0.
-6, -5, 1, 23
Find d such that 14*d**5/13 - 8908*d**4/13 - 15474*d**3/13 + 103232*d**2/13 + 79160*d/13 - 30624/13 = 0.
-4, -1, 2/7, 3, 638
Factor -3*a**2 + 3498*a - 51795.
-3*(a - 1151)*(a - 15)
Solve -8*n**5/5 - 284*n**4/5 + 232*n**3 + 2624*n**2/5 - 1152*n/5 - 468 = 0.
-39, -3/2, -1, 1, 5
Determine r, given that -r**3/7 + 11394*r**2 - 227190663*r = 0.
0, 39879
Determine c, given that -c**4/3 + 44*c**3 - 975*c**2 - 6386*c/3 = 0.
-2, 0, 31, 103
Find b such that 6*b**2/5 - 2188*b/5 - 2928/5 = 0.
-4/3, 366
Factor -x**4/3 + 608138*x**3 - 369831827044*x**2 + 224908787634884072*x/3.
-x*(x - 608138)**3/3
Suppose -4*u**3/3 - 532*u**2/3 - 7600*u/3 - 4368 = 0. What is u?
-117, -14, -2
Let -4*t**4/3 - 3440*t**3/3 + 20740*t**2/3 - 38080*t/3 + 6928 = 0. What is t?
-866, 1, 2, 3
Solve -4*p**3/3 + 240*p**2 - 1844*p + 4816/3 = 0 for p.
1, 7, 172
Suppose 2*a**3 - 757180*a**2 = 0. What is a?
0, 378590
Factor g**3/3 - 49*g**2/3 + 494*g/3 + 544/3.
(g - 34)*(g - 16)*(g + 1)/3
Suppose x**4 - 756*x**3 - 1516*x**2 = 0. Calculate x.
-2, 0, 758
Find l such that -l**2/3 - 33388*l - 100163/3 = 0.
-100163, -1
What is q in q**3/4 - 5251*q**2 - 63039*q - 189144 = 0?
-6, 21016
Factor 2*a**3/7 + 1014*a**2/7 + 129030*a/7 + 128018/7.
2*(a + 1)*(a + 253)**2/7
Find p such that 3*p**4 + 567*p**3 + 26880*p**2 + 26316*p = 0.
-102, -86, -1, 0
Find j such that -4*j**3 + 2740*j**2 + 244484*j + 241740 = 0.
-79, -1, 765
Solve 2*f**2/7 + 3246*f - 22724/7 = 0.
-11362, 1
Factor -69239041*b**2/3 + 49926*b - 27.
-(8321*b - 9)**2/3
Determine o, given that -5*o**3 + 60575*o**2 - 605375*o + 1513125 = 0.
5, 12105
Find v such that 5*v**5 + 265*v**4 - 2760*v**3 + 1940*v**2 + 4960*v = 0.
-62, -1, 0, 2, 8
Let 18225*h**3 - 55620*h**2 + 43381*h - 10082 = 0. Calculate h.
71/135, 2
Solve -2704*m**2 - 2702*m + 2 = 0 for m.
-1, 1/1352
Factor g**3/9 - 101*g**2/3 + 1267*g - 12789.
(g - 261)*(g - 21)**2/9
Factor -4*j**2/5 + 219776*j/5 - 3018843136/5.
-4*(j - 27472)**2/5
Find a such that a**2 + 8266*a - 16536 = 0.
-8268, 2
What is a in -3*a**2/7 + 900*a + 31575/7 = 0?
-5, 2105
Determine p, given that -1166*p**3/9 + 1126*p**2/9 - 20*p/3 = 0.
0, 3/53, 10/11
Find k such that 250*k**4/9 + 170*k**3/9 - 88*k**2/9 - 8*k/9 = 0.
-1, -2/25, 0, 2/5
Find y, given that 4*y**4/7 + 208*y**3/7 + 1044*y**2/7 - 2728*y/7 + 1472/7 = 0.
-46, -8, 1
Solve -2*w**3 - 1146*w**2 - 162432*w + 497664 = 0.
-288, 3
Solve -2*v**2/7 + 66656*v/7 - 555377792/7 = 0 for v.
16664
Factor 2*f**2 + 648952*f + 52642337288.
2*(f + 162238)**2
Find t, given that -3*t**2 + 198*t - 1944 = 0.
12, 54
What is u in 2*u**3/11 + 32*u**2/11 - 238*u/11 - 588/11 = 0?
-21, -2, 7
What is v in 2*v**5 - 666*v**4 + 40014*v**3 + 2758834*v**2 - 5635056*v + 2836872 = 0?
-41, 1, 186
Factor 2*b**4 + 18120*b**3.
2*b**3*(b + 9060)
Factor -n**3/2 - 153*n**2 - 19565*n/2.
-n*(n + 91)*(n + 215)/2
Factor 2*m**2/3 - 3526*m - 116600/3.
2*(m - 5300)*(m + 11)/3
Factor 2*c**2/7 + 900*c/7 - 1808/7.
2*(c - 2)*(c + 452)/7
Let -2*s**2 - 5462*s - 5460 = 0. What is s?
-2730, -1
Find q such that -6*q**5/11 + 28*q**4 + 13678*q**3/11 + 58924*q**2/11 + 81896*q/11 + 32400/11 = 0.
-25, -2, -2/3, 81
Solve 2*m**5/11 - 9990*m**4/11 + 12470016*m**3/11 + 12480008*m**2/11 = 0 for m.
-1, 0, 2498
Let -3*d**2 - 306420*d - 612828 = 0. Calculate d.
-102138, -2
Suppose -4*q**3 - 220*q**2 + 232*q + 448 = 0. Calculate q.
-56, -1, 2
Determine y, given that -143*y**2/5 - 617*y/5 - 474/5 = 0.
-474/143, -1
Factor t**4/2 + 21925*t**3 + 479827825*t**2/2 - 9622882500*t + 96316605000.
(t - 20)**2*(t + 21945)**2/2
Factor -14*w**2/13 - 5610*w/13 + 5624/13.
-2*(w - 1)*(7*w + 2812)/13
Factor -x**2 - 931*x + 148730.
-(x - 139)*(x + 1070)
Suppose 4*l**3/5 - 1016*l**2/5 - 66124*l + 331632/5 = 0. Calculate l.
-188, 1, 441
Factor 20*p**2 - 387*p + 981.
(p - 3)*(20*p - 327)
Determine q so that 2*q**3/11 - 164*q**2/11 - 9728*q/11 + 808640/11 = 0.
-70, 76
Factor -3*k**2 + 7926*k + 7929.
-3*(k - 2643)*(k + 1)
Suppose -5*n**4 + 330*n**3 + 4745*n**2 - 5070*n = 0. What is n?
-13, 0, 1, 78
Find l such that 3*l**2/5 - 118938*l/5 + 1178853987/5 = 0.
19823
Find i, given that -2*i**4/9 + 18976*i**3/9 - 5001230*i**2 - 18976*i/9 + 45011072/9 = 0.
-1, 1, 4744
Factor -2*r**2 + 5668*r + 5670.
-2*(r - 2835)*(r + 1)
Find d, given that -d**3/6 + 1387*d**2/6 - 2768*d/3 + 922 = 0.
2, 1383
Suppose -2*p**5/7 + 2230*p**4 + 140674*p**3/7 - 171890*p**2/7 - 20096*p + 156280/7 = 0. Calculate p.
-10, -1, 1, 7814
Let -2*l**2/5 + 2254748*l/5 - 635486067938/5 = 0. Calculate l.
563687
Let -114*m**3/5 - 61892*m**2 - 173688*m/5 + 21712/5 = 0. What is m?
-2714, -2/3, 2/19
Factor 3*n**2/5 - 1818*n/5 - 104781/5.
3*(n - 659)*(n + 53)/5
What is b in -5*b**2 - 2005*b - 13790 = 0?
-394, -7
Factor 4*o**4 + 160*o**3 + 2048*o**2 + 9728*o + 15360.
4*(o + 4)**2*(o + 12)*(o + 20)
Factor 135*d**3 + 9625*d**2 + 177625*d + 214375.
5*(d + 35)**2*(27*d + 35)
Factor m**2 + 4525*m + 9046.
(m + 2)*(m + 4523)
Let -3*l**4/2 + 4503*l**3/4 + 2259*l**2/4 - 4503*l/4 - 2253/4 = 0. What is l?
-1, -1/2, 1, 751
Let -4*n**5 + 124*n**4 + 2084*n**3 + 8724*n**2 + 11088*n = 0. What is n?
-7, -3, 0, 44
Factor d**2/2 + 1493*d/2 + 746.
(d + 1)*(d + 1492)/2
Factor -o**4 - 12263*o**3 - 50086113*o**2 - 67966037141*o + 684681255710.
-(o - 10)*(o + 4091)**3
Let 4*p**2/7 - 277920*p/7 + 4827470400/7 = 0. Calculate p.
34740
Suppose -2*m**2/9 - 18442*m/9 + 259364/3 = 0. Calculate m.
-9263, 42
Determine r, given that r**2/4 - 1607*r - 32165/4 = 0.
-5, 6433
Determine v, given that 6*v**3 - 843*v**2 + 21939*v + 22788 = 0.
-1, 36, 211/2
Suppose -w**3/7 - 3*w**2/7 + 22*w/7 + 24/7 = 0. What is w?
-6, -1, 4
Factor 3249*n**2/4 - 22173*n + 151321.
(57*n - 778)**2/4
Factor 5*s**5 + 390*s**4 - 9080*s**3 - 1469600*s**2 - 37403520*s - 211256320.
5*(s - 62)*(s + 8)*(s + 44)**3
Factor 3*u**3/2 - 306*u**2 + 41607*u/2 - 471339.
3*(u - 69)**2*(u - 66)/2
Factor -u**3/7 - 967*u**2/7 - 44488*u - 33397872/7.
-(u + 303)*(u + 332)**2/7
Find g such that 2*g**4 + 1870*g**3 + 62924*g**2 - 68544*g - 129600 = 0.
-900, -36, -1, 2
Let -k**4 - 59*k**3 + 5244*k**2 - 5184*k = 0. What is k?
-108, 0, 1, 48
Factor -5*y**2/6 - 63*y + 4763/6.
-(y - 11)*(5*y + 433)/6
What is i in i**2 - 5598*i + 83745 = 0?
15, 5583
Solve 8*j**5/11 + 122*j**4/11 - 1336*j**3/11 + 2034*j**2/11 - 828*j/11 = 0.
-23, 0, 3/4, 1, 6
Suppose -5*y**2 + 85020*y = 0. Calculate y.
0, 17004
Determine g so that g**3 - 6*g**2 - 432*g = 0.
-18, 0, 24
Determine g, given that -239*g**2/3 - 299*g - 180 = 0.
-3, -180/239
Suppose -2*s**5/9 + 32*s**4/9 + 50*s**3/3 - 76*s**2 = 0. Calculate s.
-6, 0, 3, 19
Suppose 134*z**4/11 + 276*z**3/11 + 16*z**2/11 = 0. Calculate z.
-2, -4/67, 0
Factor l**2 + 171290*l + 7335066025.
(l + 85645)**2
What is b in b**4/5 + 15472*b**3/5 + 59737294*b**2/5 - 838597872*b/5 + 2937748401/5 = 0?
-7743, 7
Factor -h**2 + 49510*h - 612810025.
-(h - 24755)**2
Solve 8*b**4 - 114*b**3 - 508*b**2 + 4614*b - 1120 = 0.
-7, 1/4, 5, 16
Find n, given that -2*n**2 + 1386*n + 2780 = 0.
-2, 695
Factor -3*q**3 - 40770*q**2 - 244536*q - 326016.
-3*(q + 2)*(q + 4)*(q + 13584)
Find n, given that n**2/5 + 1328502*n/5 + 441229391001/5 = 0.
-664251
Suppose -2*t**4 + 119*t**3 - 1654*t**2 - 2693*t - 918 = 0. What is t?
-1, -1/2, 27, 34
Factor 2*m**3/19 - 710*m**2/19 + 704*m/19 + 1416/19.
2*(m - 354)*(m - 2)*(m + 1)/19
Suppose -d**3/3 + 4609* | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence zg.
1/14
Calculate prob of sequence rm when two letters picked without replacement from dxrrxrmrrn.
1/18
Two letters picked without replacement from {r: 2, h: 1, p: 2, q: 1, e: 1, s: 1}. Give prob of sequence rs.
1/28
What is prob of sequence jhdh when four letters picked without replacement from {v: 2, h: 2, d: 2, p: 4, j: 2}?
1/1485
Two letters picked without replacement from {w: 11, k: 9}. What is prob of sequence kk?
18/95
Two letters picked without replacement from {x: 3, s: 11}. What is prob of sequence sx?
33/182
Calculate prob of sequence lu when two letters picked without replacement from {u: 2, d: 2, a: 1, l: 4}.
1/9
Three letters picked without replacement from xxyyxxx. What is prob of sequence yyx?
1/21
Four letters picked without replacement from {c: 7, v: 1, b: 2}. Give prob of sequence vccc.
1/24
Two letters picked without replacement from {d: 1, n: 3, h: 3, y: 3, q: 2, k: 3}. What is prob of sequence kd?
1/70
Two letters picked without replacement from effce. Give prob of sequence ec.
1/10
What is prob of sequence uc when two letters picked without replacement from {u: 1, i: 3, c: 6, y: 5, o: 3, s: 2}?
3/190
Calculate prob of sequence nmm when three letters picked without replacement from omnmononwxnxwoomo.
1/170
What is prob of sequence ff when two letters picked without replacement from ffcdcfcdcffcccffcf?
28/153
Two letters picked without replacement from {r: 14, h: 1, u: 2, d: 2}. What is prob of sequence hd?
1/171
What is prob of sequence ukkk when four letters picked without replacement from {k: 4, u: 10}?
10/1001
Four letters picked without replacement from {x: 1, j: 1, v: 2, y: 1, a: 1, u: 2}. Give prob of sequence jvvu.
1/420
Calculate prob of sequence trnv when four letters picked without replacement from vvrnvrnvttvvnnbnctvv.
2/969
Calculate prob of sequence qg when two letters picked without replacement from qqqqqqgqggg.
14/55
Two letters picked without replacement from vwwatbwtwbtwawaaab. Give prob of sequence av.
5/306
Two letters picked without replacement from dwddwddw. What is prob of sequence dd?
5/14
What is prob of sequence aaaa when four letters picked without replacement from {a: 7}?
1
Calculate prob of sequence chhc when four letters picked without replacement from {e: 7, c: 4, h: 3}.
3/1001
Three letters picked without replacement from vxhgvhxwvavhvvvwaa. What is prob of sequence vwv?
7/408
Calculate prob of sequence bl when two letters picked without replacement from oloiilogoobogii.
1/105
Calculate prob of sequence tt when two letters picked without replacement from gptpthgtgptppp.
6/91
Four letters picked without replacement from {f: 2, m: 2, n: 5}. Give prob of sequence mfmn.
5/756
Three letters picked without replacement from zgqggzgzzgzzzg. Give prob of sequence zqz.
1/52
Calculate prob of sequence qzzi when four letters picked without replacement from {q: 3, i: 2, z: 3}.
3/140
Three letters picked without replacement from bqqbdpqdqqqprrqpdpqe. Give prob of sequence ped.
1/570
Two letters picked without replacement from {y: 8, o: 4, z: 1}. What is prob of sequence yz?
2/39
Three letters picked without replacement from {u: 2, s: 3, v: 5}. Give prob of sequence suu.
1/120
Calculate prob of sequence qg when two letters picked without replacement from {q: 4, g: 7}.
14/55
Three letters picked without replacement from {v: 7, j: 3}. Give prob of sequence jvj.
7/120
Three letters picked without replacement from {j: 8, v: 2}. What is prob of sequence jjj?
7/15
Calculate prob of sequence nnnz when four letters picked without replacement from {z: 3, n: 4}.
3/35
Two letters picked without replacement from {q: 1, o: 3, c: 2, a: 3, j: 1}. What is prob of sequence qa?
1/30
Three letters picked without replacement from mmgmgm. Give prob of sequence gmm.
1/5
What is prob of sequence hj when two letters picked without replacement from {z: 2, h: 3, j: 4, o: 2}?
6/55
What is prob of sequence txx when three letters picked without replacement from {t: 5, x: 5, f: 3}?
25/429
Calculate prob of sequence rr when two letters picked without replacement from rkrkff.
1/15
Two letters picked without replacement from {i: 1, h: 3}. What is prob of sequence ih?
1/4
Calculate prob of sequence pllu when four letters picked without replacement from {p: 1, u: 3, l: 11, g: 5}.
11/3876
Four letters picked without replacement from {y: 2, f: 7}. Give prob of sequence yfyf.
1/36
What is prob of sequence cxc when three letters picked without replacement from {l: 5, x: 1, c: 3, n: 1, i: 1, s: 2}?
1/286
Two letters picked without replacement from kmmmkmmmkmm. Give prob of sequence km.
12/55
Two letters picked without replacement from ylclcclyjiy. What is prob of sequence jy?
3/110
Four letters picked without replacement from kujuuhukjuuukhuuukku. What is prob of sequence khjh?
1/5814
Calculate prob of sequence why when three letters picked without replacement from {i: 1, w: 3, h: 1, y: 6, x: 1, j: 1}.
3/286
Calculate prob of sequence mfgw when four letters picked without replacement from nfmggnwnn.
1/1512
Three letters picked without replacement from {q: 9}. Give prob of sequence qqq.
1
Three letters picked without replacement from ejssees. What is prob of sequence ejs?
3/70
Three letters picked without replacement from {g: 2, y: 2, m: 5}. What is prob of sequence myy?
5/252
Calculate prob of sequence ynw when three letters picked without replacement from {d: 3, s: 2, n: 2, w: 1, l: 2, y: 2}.
1/330
Two letters picked without replacement from {y: 7, l: 1, a: 2}. Give prob of sequence ya.
7/45
Calculate prob of sequence lkl when three letters picked without replacement from {l: 4, k: 3}.
6/35
Four letters picked without replacement from lllglglllglgggllll. Give prob of sequence lglg.
11/204
Four letters picked without replacement from ddzddddznznnd. What is prob of sequence dznn?
21/2860
Calculate prob of sequence oali when four letters picked without replacement from {f: 1, a: 1, l: 1, o: 2, i: 2}.
1/210
Two letters picked without replacement from {e: 3, d: 13, r: 2, a: 2}. Give prob of sequence dr.
13/190
What is prob of sequence kk when two letters picked without replacement from {k: 3, p: 13}?
1/40
Two letters picked without replacement from ssssosppuzpupzsos. What is prob of sequence zs?
7/136
What is prob of sequence dhd when three letters picked without replacement from xdxxdxxsddxshx?
1/182
Two letters picked without replacement from btinvniivvnvnibv. Give prob of sequence vi.
1/12
Two letters picked without replacement from cwcwcwcwcc. What is prob of sequence cc?
1/3
What is prob of sequence ee when two letters picked without replacement from egegegee?
5/14
Calculate prob of sequence hkkk when four letters picked without replacement from hhhhhhkkhhhhhkhkkhh.
35/3876
Two letters picked without replacement from {w: 2, u: 2, e: 2}. Give prob of sequence ee.
1/15
Two letters picked without replacement from xmpvxpxqpxmv. Give prob of sequence mx.
2/33
What is prob of sequence bb when two letters picked without replacement from bbb?
1
Three letters picked without replacement from aaaiaaaaaacza. Give prob of sequence cia.
5/858
What is prob of sequence jnnp when four letters picked without replacement from nnpppnjpp?
5/504
What is prob of sequence bz when two letters picked without replacement from fxpwxzbzzwpppz?
2/91
Four letters picked without replacement from {a: 5, m: 10, x: 4}. What is prob of sequence mxam?
25/1292
Two letters picked without replacement from {z: 1, i: 2, c: 1, o: 2, t: 1, a: 1}. What is prob of sequence oc?
1/28
Three letters picked without replacement from bhhvbyyaavyamh. Give prob of sequence hmh.
1/364
Two letters picked without replacement from eyczepqzqzzc. What is prob of sequence zq?
2/33
Two letters picked without replacement from nnlbelek. Give prob of sequence be.
1/28
Four letters picked without replacement from {e: 5, r: 8}. What is prob of sequence rree?
28/429
Calculate prob of sequence fq when two letters picked without replacement from {f: 3, q: 1}.
1/4
Calculate prob of sequence xxjw when four letters picked without replacement from {w: 13, x: 5, j: 2}.
13/2907
Two letters picked without replacement from hadxhhhdx. What is prob of sequence dh?
1/9
Two letters picked without repla | {
"pile_set_name": "DM Mathematics"
} |
to the nearest integer?
655
What is the third root of 1350408003 to the nearest integer?
1105
What is the eighth root of 45550704 to the nearest integer?
9
What is the seventh root of 88201527 to the nearest integer?
14
What is 270857446 to the power of 1/3, to the nearest integer?
647
What is the eighth root of 5596764 to the nearest integer?
7
What is the third root of 1034968125 to the nearest integer?
1012
What is 7180774481 to the power of 1/2, to the nearest integer?
84739
What is the cube root of 354564499 to the nearest integer?
708
What is the cube root of 941300027 to the nearest integer?
980
What is the square root of 2031639115 to the nearest integer?
45074
What is 487182302 to the power of 1/2, to the nearest integer?
22072
What is the third root of 361054657 to the nearest integer?
712
What is 4990813691 to the power of 1/10, to the nearest integer?
9
What is the seventh root of 119947178 to the nearest integer?
14
What is the fourth root of 501875128 to the nearest integer?
150
What is the third root of 2077648337 to the nearest integer?
1276
What is 1525353194 to the power of 1/10, to the nearest integer?
8
What is 1202885763 to the power of 1/2, to the nearest integer?
34683
What is 5834682945 to the power of 1/6, to the nearest integer?
42
What is the square root of 50009422 to the nearest integer?
7072
What is the third root of 324000809 to the nearest integer?
687
What is the square root of 38292082 to the nearest integer?
6188
What is the cube root of 298377044 to the nearest integer?
668
What is the third root of 73184529 to the nearest integer?
418
What is the cube root of 1726070893 to the nearest integer?
1200
What is 1089096870 to the power of 1/2, to the nearest integer?
33001
What is 17610422 to the power of 1/7, to the nearest integer?
11
What is the square root of 3598864681 to the nearest integer?
59991
What is 4008048675 to the power of 1/5, to the nearest integer?
83
What is the square root of 31586518 to the nearest integer?
5620
What is 603824283 to the power of 1/2, to the nearest integer?
24573
What is 670149870 to the power of 1/3, to the nearest integer?
875
What is 4810977515 to the power of 1/6, to the nearest integer?
41
What is the fifth root of 433318438 to the nearest integer?
53
What is the square root of 817352888 to the nearest integer?
28589
What is the cube root of 898809192 to the nearest integer?
965
What is the third root of 376563648 to the nearest integer?
722
What is 19068705 to the power of 1/5, to the nearest integer?
29
What is the sixth root of 71784946 to the nearest integer?
20
What is 43399815 to the power of 1/3, to the nearest integer?
351
What is the fourth root of 4821127896 to the nearest integer?
264
What is the cube root of 42016491 to the nearest integer?
348
What is the square root of 319991582 to the nearest integer?
17888
What is the cube root of 52264389 to the nearest integer?
374
What is the square root of 5397781395 to the nearest integer?
73470
What is the fifth root of 308050226 to the nearest integer?
50
What is 70459954 to the power of 1/7, to the nearest integer?
13
What is 3102558171 to the power of 1/10, to the nearest integer?
9
What is the tenth root of 58809869 to the nearest integer?
6
What is the ninth root of 1302387280 to the nearest integer?
10
What is 147962133 to the power of 1/4, to the nearest integer?
110
What is 773498527 to the power of 1/3, to the nearest integer?
918
What is the eighth root of 58122727 to the nearest integer?
9
What is the cube root of 191682466 to the nearest integer?
577
What is the third root of 1157474531 to the nearest integer?
1050
What is the square root of 2462403190 to the nearest integer?
49623
What is the square root of 4538945297 to the nearest integer?
67372
What is the third root of 125488637 to the nearest integer?
501
What is the square root of 44360029 to the nearest integer?
6660
What is the third root of 19898759 to the nearest integer?
271
What is the ninth root of 35849395 to the nearest integer?
7
What is the fifth root of 4203326039 to the nearest integer?
84
What is the cube root of 84482388 to the nearest integer?
439
What is 2691941341 to the power of 1/2, to the nearest integer?
51884
What is 349351925 to the power of 1/2, to the nearest integer?
18691
What is 43295380 to the power of 1/3, to the nearest integer?
351
What is 82580238 to the power of 1/3, to the nearest integer?
435
What is the eighth root of 15315268 to the nearest integer?
8
What is the sixth root of 1334832353 to the nearest integer?
33
What is 2270811 to the power of 1/5, to the nearest integer?
19
What is 70758569 to the power of 1/2, to the nearest integer?
8412
What is the fifth root of 1834607309 to the nearest integer?
71
What is 4951923053 to the power of 1/2, to the nearest integer?
70370
What is 1234472503 to the power of 1/3, to the nearest integer?
1073
What is 51524182 to the power of 1/8, to the nearest integer?
9
What is 1717657659 to the power of 1/2, to the nearest integer?
41445
What is 4255098 to the power of 1/2, to the nearest integer?
2063
What is 337989479 to the power of 1/3, to the nearest integer?
697
What is the cube root of 675295546 to the nearest integer?
877
What is the square root of 2043337097 to the nearest integer?
45203
What is the cube root of 286113203 to the nearest integer?
659
What is the ninth root of 617152083 to the nearest integer?
9
What is the ninth root of 375039576 to the nearest integer?
9
What is 45010770 to the power of 1/10, to the nearest integer?
6
What is the eighth root of 16316673 to the nearest integer?
8
What is the third root of 348854639 to the nearest integer?
704
What is 161491105 to the power of 1/3, to the nearest integer?
545
What is the fourth root of 35154654 to the nearest integer?
77
What is the third root of 993177907 to the nearest integer?
998
What is the seventh root of 22759385 to the nearest integer?
11
What is the cube root of 345903404 to the nearest integer?
702
What is the square root of 390955135 to the nearest integer?
19773
What is the cube root of 42044887 to the nearest integer?
348
What is the seventh root of 402279479 to the nearest integer?
17
What is the square root of 115412828 to the nearest integer?
10743
What is 854839092 to the power of 1/3, to the nearest integer?
949
What is the ninth root of 477502124 to the nearest integer?
9
What is the cube root of 3427897638 to the nearest integer?
1508
What is the square root of 27567109 to the nearest integer?
5250
What is the cube root of 56646325 to the nearest integer?
384
What is the square root of 262259551 to the nearest integer?
16194
What is 2726536893 to the power of 1/2, to the nearest integer?
52216
What is 972347753 to the power of 1/5, to the nearest integer?
63
What is 855984621 to the power of 1/2, to the nearest integer?
29257
What is 531876654 to the power of 1/2, to the nearest integer?
23062
What is the cube root of 3380780305 to the nearest integer?
1501
What is the seventh root of 2932717432 to the nearest integer?
23
What is the third root of 571862439 to the nearest integer?
830
What is 4397581 to the power of 1/4, to the nearest integer?
46
What is the seventh root of 3220797519 to the nearest integer?
23
What is the third root of 550146469 to the nearest integer?
819
What is the seventh root of 5238836797 to the nearest integer?
24
What is the fifth root of 295502219 to the nearest integer?
49
What is the third root of 473712651 to the nearest integer?
780
What is the square root of 2318759790 to the nearest integer?
48154
What is the third root of 34752191 to the nearest integer?
326
What is 6400966 to the power of 1/10, to the nearest integer?
5
What is the square root of 1215399353 to the nearest integer?
34863
What is the square root of 132117554 to the nearest integer?
11494
What is the third root of 578403549 to the nearest integer?
833
What is 1697386844 to the power of 1/2, to the nearest integer?
41199
What is the square root of 139057501 to the nearest integer?
11792
What is 164715989 to the power of 1/2, to the nearest integer?
12834
What is 5886019286 to the power of 1/2, to the nearest integer?
76720
What is the square root of 515286970 to the nearest in | {
"pile_set_name": "DM Mathematics"
} |
8)/(-60) - (-2)/10. Give i(s).
5
Let c = 1360 + -1354. Let u(m) = m**2 - 11*m + 5. Let s(p) = -2*p**2 + 21*p - 10. Let t(h) = 4*s(h) + 7*u(h). Calculate t(c).
1
Let f(r) be the first derivative of 2*r**2 - 1/3*r**3 - 1 + 4*r. Determine f(3).
7
Let u(m) = 5*m - 4 + 0*m**3 + 3*m**3 - 5*m**2 - 2*m**3 - 2. Give u(4).
-2
Suppose v - 4*v = -3*n - 33, 5*v - 55 = -4*n. Suppose 0 = 2*o - 5*b + 8, -4*b + 33 - v = o. Let l(f) = f**3 - 5*f**2 - 5*f - 4. What is l(o)?
2
Suppose -68 = -4*u - 2*o, 2*o - 20 - 29 = -3*u. Suppose -4*g - u = 5. Let w(x) be the third derivative of x**4/24 + 7*x**3/6 - 3*x**2. What is w(g)?
1
Let g(k) = -k**2 - 6*k + 1. Suppose 7*t - 2*t + 30 = 0. Give g(t).
1
Suppose 0 = 3*a - 5 - 10. Suppose -a*u = 0, 5 - 3 = -2*f + u. Let n(l) be the second derivative of l**5/5 + l**4/6 + l**3/3 + l**2/2 + 2*l. Determine n(f).
-3
Let g(m) = m**3 + 4*m**2 + 4*m. Let n = 4 - -8. Let w be (n/8)/(1/(-2)). Determine g(w).
-3
Let k(p) = -p**2 - p + 4. Let v(w) = 1. Let t(o) = -o - 1. Let z(u) = 4*t(u) + 5*v(u). Let l be z(1). Give k(l).
-2
Let g(t) be the second derivative of t**4/6 - 2*t**3/3 - 5*t**2/2 + 7*t. Calculate g(4).
11
Suppose 10*p + 9*p = -57. Let l(w) be the third derivative of w**5/60 + w**4/8 - w**3/6 + w**2. Determine l(p).
-1
Let z(v) = -7 + 0*v - 3*v**2 - v + 6 - v**3. Let s be 4*(1/(-3) - (-1)/(-6)). Give z(s).
-3
Let a be (4 - 2 - 0)*4. Suppose 5*m - m + a = 0, 0 = 5*h - 5*m + 15. Let o(j) = -4 + 2*j - 3 + 9. Calculate o(h).
-8
Let r(q) = -q**2 + 8*q - 1. Let g = -10 - -15. Suppose 4*k + v - 15 = g, 2*v = -5*k + 22. What is r(k)?
11
Suppose 0 = 3*l - 0*l. Let n(a) = l + 14*a - 1 + 0 - 7*a. Determine n(1).
6
Let i(j) be the second derivative of -23*j**4/12 - j**2/2 - 2*j - 5. Determine i(-1).
-24
Let b(j) = j**3 - 7*j**2 + 8*j - 8. Let s be b(6). Let i(h) be the second derivative of 0*h**2 + 0*h**3 + 1/12*h**s + h + 0. What is i(-1)?
1
Let h(s) = -s**3 + 9*s**2 + 8*s + 13. Let v be h(10). Let p(r) = r**2 + 8*r - 3. Determine p(v).
-10
Let k(w) be the second derivative of -w**5/20 + 5*w**4/12 - w**3/6 - 7*w**2/2 - 8*w. Calculate k(5).
-12
Let i(w) = w**3 - 5*w**2 + 4*w + 1. Suppose 2*d + 2*d = 2*k + 12, 5*d = -k + 29. Let t be i(k). Let u(l) = 4*l**3 - 2*l**2 + 2*l - 1. Calculate u(t).
3
Let l(d) = 22*d - 18*d + 5*d**2 + 14 + d**3 - 14. Let k = -3 + 0. Determine l(k).
6
Let t(j) be the third derivative of j**5/60 - j**4/4 - j**3/6 - j**2. Let p be 76/10 - (-21)/(-35). Suppose -4*c + p = -17. Determine t(c).
-1
Let z(n) = -3*n + 3. Let l(c) = -c - 1. Let a(r) = 4*l(r) + z(r). Give a(-1).
6
Let m(d) = d + 7. Let y(f) = f**2 + 5*f - 1. Let u be y(-6). Suppose -u*g - 34 = 41. Let k be 4/10 - (-6)/g. Give m(k).
7
Suppose -3*y + 0*y - 6 = 0, -3*x + 5 = -4*y. Let z(t) = -t**2 - t. What is z(x)?
0
Let x(r) be the second derivative of 0 + 2*r + 1/6*r**3 + r**2 - 1/24*r**4 - 1/60*r**5. Let y(h) be the first derivative of x(h). Determine y(1).
-1
Let v(r) = -3 + 2*r - 2 - 5*r + 6*r. Determine v(4).
7
Suppose -4 = -3*o - p, 12 = 3*p - 0. Let v be 1*(-3 - o) - 2. Let k(u) = -6 - 7*u + 4*u - 1. Determine k(v).
8
Let k(w) = -24*w - 20. Let x(c) = 8*c + 7. Let l(y) = 6*k(y) + 17*x(y). Let j = -40 + 39. Give l(j).
7
Suppose l - 6*l + 20 = 0. Let n(g) = -g**3 + 5*g**2 - 2*g - 2. What is n(l)?
6
Suppose -8*c + 4*c = -20. Suppose -4*v + 7*v = 2*w + 15, c*w + 27 = -3*v. Let q(p) = p**2 + 4*p. Determine q(w).
12
Let x be (-48)/(-36)*(-6)/(-4). Let u(l) = 4*l**2 - 2*l**2 + x*l**3 - 3*l**3. Give u(2).
0
Let m(f) = f**3 - 7*f**2 + 5*f + 8. Let a be m(6). Suppose r = -a*r. Let z(w) = -w**3 + w**2 - 10. Determine z(r).
-10
Let u(f) = f**3 - 6*f**2 + 6*f + 7. Let q(d) = -d**3 + 6*d**2 - 5*d - 7. Let t(g) = -7*q(g) - 6*u(g). Let o be t(6). Let j(m) = 11*m - 1. What is j(o)?
10
Let t(h) be the second derivative of 13/12*h**4 + 0*h**3 + 0 - 4*h + 0*h**2. Calculate t(-1).
13
Let i(v) be the first derivative of 0*v**4 + 2 + 1/6*v**3 - 1/30*v**5 + 3/2*v**2 + 0*v. Let d(o) be the second derivative of i(o). What is d(-2)?
-7
Let f(h) be the third derivative of h**4/24 + h**3/3 - 7*h**2. Give f(5).
7
Let g(k) be the third derivative of k**5/60 - 4*k**2. What is g(-2)?
4
Let q(j) = -3*j - 7. Let u(l) = l - 11. Let h be (8/(-6))/((-14)/63). Let g be u(h). What is q(g)?
8
Let t(k) = -k**3 + 7*k**2 - 2*k + 3. Let i(b) = -7*b**2 - 1 - 3 + 2*b + b**3 + b + 0. Let w(d) = 6*i(d) + 5*t(d). What is w(6)?
3
Let m be (0/(-3))/(-1 - 1). Suppose s + 0 - 2 = m. Let j(b) = -2*b**2 + 3 + s + 2*b + b**2 - 3. What is j(3)?
-1
Let l(f) be the first derivative of f**3/3 - f**2/2 - 3*f + 9. Determine l(4).
9
Suppose -2*s + s + 2 = 0, -p + 2*s = 11. Let z = -7 + 0. Let w = z - p. Let k(a) = a**2 + a - 6. Determine k(w).
-6
Let a(q) = -q**3 - 7*q**2 - 6*q + 3. Let g be a(-6). Suppose -k - 13 = -4*t - 2*k, -4*t - g*k = -15. Let w(j) = j**2 - j - 3. Determine w(t).
3
Let n = -8 + 13. Let l(h) = h**3 - 5*h**2 - 3. Determine l(n).
-3
Suppose p = 3*j - 13, 0 = -2*j - 2*p + 8 + 6. Let n(g) = 1. Let z(r) = r + 13. Let o(x) = j*n(x) - z(x). Give o(0).
-8
Let k be ((-90)/54)/(5/(-6)). Suppose 3*y + 15 = 3*v, k*y + 2*v + 0*v + 10 = 0. Let i(b) = -b**3 - 5*b**2 - 7. Calculate i(y).
-7
Let b(x) = -x**2 - 7*x - 4. Let w = -23 - -28. Suppose 2*j + 41 = -5*o, j + 18 + 20 = -w*o. Give b(o).
-4
Let s(a) be the second derivative of -a**3/3 - 3*a**2/2 + 7*a. Suppose 17 = 4*w + p, w - 18 = -3*p - 0. What is s(w)?
-9
Let t be -4*((-6)/4)/(-1). Let l(b) = -b - 13. Calculate l(t).
-7
Let z(r) = -r + 10. Let w = 6 + -6. Suppose -5*s + m + 23 = 0, -4 = -2*m - w. What is z(s)?
5
Suppose -7 + 2 = 5*k. Let x(b) = 58*b**2 + 3 - 60*b**2 - 4. Give x(k).
-3
Let z(h) = h**3. Let i(g) = 7*g**3 + 5*g**2 - 7. Let c(x) = i(x) - 6*z(x). What is c(-5)?
-7
Let s be (2 - 1)/(1/(-1)). Let g be (-1 + 3 + s)*5. Let t(q) be the second derivative of -q**3/6 + 4*q**2 - q. Calculate t(g).
3
Let t be 20/8 + 2/12*3. Let n(r) = -r**3 + 3*r**2 + r - 2. Calculate n(t).
1
Let i(g) = -26*g**2 - 3*g + 42*g**2 + 3*g**3 - 20*g**2 - 2*g**3 - 4. Calculate i(5).
6
Let s be -5 - (-1 + (2 - 0)). Let r(i) be the third derivative of -i**6/120 - i**5/10 + 2*i**3/3 + 60*i**2. Give r(s).
4
Let u(h) = -7*h**3 + 7*h**2 - 5*h + 15. Let y(l) = 3*l**3 - 3*l**2 + 2*l - 7. Let m = -1 + 7. Suppose -2*s = 4 + m. Let r(z) = s*y(z) - 2*u(z). What is r(0)?
5
Suppose -26 = -4*h - 6. Let c be (-2 - h)/(-1 - -2). Let y(s) = -s**3 - 8*s**2 - 5*s + 4. What is y(c)?
-10
Let f(k) be the third derivative of -k**4/24 - k**3/2 - k**2. Suppose 18 = q - 5*d, 4*d = -2*q - 0*d - 6. Let g = 1 - q. Give f(g).
-1
Let x(g) = -2*g + 1. Let f be (0 - -1)/(4/40). Suppose -4 = -3*k - f. Determine x(k).
5
Let s(a) be the third derivative of -a**6/24 + a**3/6 - 2*a**2. Let z be s(1). Let y(v) be the first derivative of v**3/3 + 3*v**2/2 + 2*v - 3. What is y(z)?
6
Let y(w) be the first derivative of -w**6/360 - w**5/120 - 13*w**4/24 + 2*w**3 - 3. Let g(k) be the third derivative of y(k). Give g(0).
-13
Let x(w) = 3. Let z(c) = c. Let s(h) = -3*h. Let q(y) = 4*s(y) + 11*z(y). Let n(i) = 4*q(i) + x(i). Determine n(2).
-5
Let h(t) = t**2 + 18*t + 11. Let d be h(-17). Let u(l) be the second derivative of -l**4/12 - 4*l**3/3 + l**2/2 + 2*l. Calculate u(d).
13
Let z(x) = 9*x - 3. Let g be (1/4)/(6/48*1). Determine z(g).
15
Let j(d) = d**2 - d + 3. Let v(x) = -x - 3. Let r be v(-3). Suppose -3*i + 8*i = r. Give j(i).
3
Let h(i) be the first derivative of i**4/4 + 7*i**3/3 + 5*i**2/2 + 7*i + 2. Calculate h(-6).
13
Let s(o) = -o**2 + 4*o + 1. Suppose -56 = -5*n - 16. Let c be (20/n)/(1/2). Suppose -3*b + 4*j + c = 0, -3*j - 4 = -7*j. Determine s(b).
4
Let j(a) = -10*a + 4*a - 5*a**2 + 6*a**2 - 5. Suppose -4*l - 2 = 70. Let r be ((-5)/((-15)/l))/(-1). Calculate j(r).
-5
Suppose 3*p - 11 = -2. Let i(m) be the second derivative of m**4/12 - m**2 + 22*m. Give i(p).
7
Let m(r) = 0*r + 2*r**2 - 1 + 3*r + 0*r**2 + r**3 - 2*r**3. Calculate m(3).
-1
Let s(r) = r**3 - r**2 - 1. Let k be (27/12)/3*4. Let n(y) = -4*y**3 - 2*y**2 + 5*y - 4. Let c(a) = k*s(a) + n(a). Give c(-6).
-1
Let s(l) be the second derivative of 1/12*l**4 + 5/2*l**2 - 3*l + 7/6*l**3 + 0. Calculate s(-5).
-5
Let p(v) = v**3 + 7*v**2 + 10*v + 2. Let g be p(-5). Suppose -4*l = -7*l. Let a(x) = x**3 + x**g + 0*x + l*x**2 + 2 + 2*x. Give a(-2).
| {
"pile_set_name": "DM Mathematics"
} |
ilogram?
3250
How many millilitres are there in 7/4 of a litre?
1750
Convert 40.38649us to seconds.
0.00004038649
What is seventeen quarters of a microgram in nanograms?
4250
What is thirty-seven fifths of a gram in milligrams?
7400
How many months are there in one quarter of a millennium?
3000
How many micrometers are there in 2731.837 millimeters?
2731837
What is 824.3407ug in grams?
0.0008243407
Convert 4864.378 nanometers to micrometers.
4.864378
What is 406701.9kg in tonnes?
406.7019
Convert 125.9631 millimeters to centimeters.
12.59631
How many seconds are there in one fifth of a minute?
12
How many nanometers are there in twenty-one fifths of a micrometer?
4200
How many kilograms are there in 715.2275g?
0.7152275
How many nanometers are there in 8.090606m?
8090606000
Convert 85.3671cm to meters.
0.853671
Convert 903286.7g to micrograms.
903286700000
What is 8.671586 decades in months?
1040.59032
What is 8035.275 meters in kilometers?
8.035275
What is five sixths of a year in months?
10
How many kilograms are there in 4310.08mg?
0.00431008
What is nine tenths of a litre in millilitres?
900
How many centimeters are there in 6/25 of a kilometer?
24000
How many seconds are there in 45.66378ns?
0.00000004566378
How many micrometers are there in one fifth of a millimeter?
200
What is 3/10 of a kilometer in meters?
300
How many microseconds are there in 2539.277s?
2539277000
What is 7/2 of a microgram in nanograms?
3500
What is 3/8 of a litre in millilitres?
375
How many years are there in 29/5 of a millennium?
5800
How many millimeters are there in 1/5 of a meter?
200
What is four thirds of a decade in months?
160
What is 52.29636 days in milliseconds?
4518405504
What is one quarter of a microsecond in nanoseconds?
250
Convert 17740195.83ns to weeks.
0.000000029332334375
How many seconds are there in three tenths of a day?
25920
How many millilitres are there in 453.3141l?
453314.1
How many micrometers are there in 86.54679mm?
86546.79
Convert 87.19186mg to nanograms.
87191860
How many seconds are there in fifty-five thirds of a minute?
1100
How many millilitres are there in seventy-two fifths of a litre?
14400
What is 5/8 of a minute in milliseconds?
37500
How many millilitres are there in 1/4 of a litre?
250
How many kilograms are there in thirteen eighths of a tonne?
1625
How many grams are there in 91.74257 nanograms?
0.00000009174257
What is 57.58039t in grams?
57580390
What is 88511.61kg in tonnes?
88.51161
How many micrograms are there in 3/40 of a milligram?
75
How many micrograms are there in fourty-nine fifths of a milligram?
9800
What is 57/2 of a litre in millilitres?
28500
How many centimeters are there in 64391.3um?
6.43913
How many micrometers are there in fifty-one quarters of a millimeter?
12750
What is eleven halves of a millimeter in micrometers?
5500
What is nine tenths of a day in seconds?
77760
How many litres are there in 169.5752ml?
0.1695752
What is 1264.8639 nanoseconds in minutes?
0.000000021081065
What is 384389.5 years in millennia?
384.3895
What is twenty-seven halves of a litre in millilitres?
13500
How many nanograms are there in 0.9513784 grams?
951378400
What is five eighths of a century in months?
750
What is 727042.7 years in months?
8724512.4
What is 21/5 of a microgram in nanograms?
4200
How many micrograms are there in 930.6888mg?
930688.8
Convert 131.0743728 nanoseconds to weeks.
0.0000000000002167235
What is 0.3775502 centuries in decades?
3.775502
How many nanometers are there in 0.8466376m?
846637600
What is 55353.14 decades in years?
553531.4
How many milliseconds are there in 0.6086076 microseconds?
0.0006086076
Convert 0.8428601mm to kilometers.
0.0000008428601
How many tonnes are there in 8.18741 kilograms?
0.00818741
Convert 11966.69 nanograms to milligrams.
0.01196669
How many litres are there in 0.3536834 millilitres?
0.0003536834
How many millilitres are there in 9.48151l?
9481.51
What is twenty-one quarters of a milligram in micrograms?
5250
What is seven eighths of a kilometer in centimeters?
87500
What is three fifths of a micrometer in nanometers?
600
How many minutes are there in 0.9820083 days?
1414.091952
Convert 33514.7ng to milligrams.
0.0335147
How many seconds are there in one sixteenth of a hour?
225
Convert 9177.447ml to litres.
9.177447
How many millilitres are there in 17/4 of a litre?
4250
What is 5/4 of a second in milliseconds?
1250
How many centimeters are there in twenty-one halves of a meter?
1050
What is 6/25 of a litre in millilitres?
240
How many months are there in 28/3 of a year?
112
What is 830662.4 tonnes in grams?
830662400000
What is 6/25 of a litre in millilitres?
240
How many months are there in 1/5 of a decade?
24
How many decades are there in 33.19019 centuries?
331.9019
What is 3/8 of a kilogram in grams?
375
How many centuries are there in 454275.3 decades?
45427.53
How many seconds are there in 19/4 of a minute?
285
What is 25/2 of a litre in millilitres?
12500
What is 3410.074 centuries in years?
341007.4
Convert 52325.96 centuries to years.
5232596
Convert 4019.338 centuries to decades.
40193.38
How many nanograms are there in 12/25 of a microgram?
480
What is 0.7692381 nanometers in micrometers?
0.0007692381
What is 0.9312544 decades in millennia?
0.009312544
What is one tenth of a microgram in nanograms?
100
What is twenty-one fifths of a century in months?
5040
Convert 813743.4 nanometers to micrometers.
813.7434
How many centuries are there in 9.384764 decades?
0.9384764
Convert 6.715137 milliseconds to seconds.
0.006715137
What is 6/25 of a meter in centimeters?
24
How many micrograms are there in 13/5 of a milligram?
2600
Convert 7165.748ml to litres.
7.165748
What is 541.2742 nanograms in tonnes?
0.0000000000005412742
How many millennia are there in 29738.058 months?
2.4781715
How many millilitres are there in 77/2 of a litre?
38500
What is 8.443641ns in milliseconds?
0.000008443641
Convert 610.05069us to days.
0.000000007060771875
What is 5/4 of a litre in millilitres?
1250
How many months are there in 0.6467273 years?
7.7607276
How many years are there in 524.7817 decades?
5247.817
Convert 7.688149 nanometers to centimeters.
0.0000007688149
Convert 944945.8 decades to months.
113393496
What is 2.729753 centimeters in kilometers?
0.00002729753
How many micrograms are there in 121.6031 milligrams?
121603.1
How many micrometers are there in 0.5674796cm?
5674.796
What is 771.1822 centimeters in micrometers?
7711822
How many decades are there in 59/5 of a millennium?
1180
What is 21/2 of a litre in millilitres?
10500
What is 293936.31 months in decades?
2449.46925
What is twenty-nine thirds of a week in hours?
1624
How many months are there in 899215.5 decades?
107905860
What is 7/4 of a millisecond in microseconds?
1750
How many months are there in 747.8152 centuries?
897378.24
How many micrograms are there in 99230.29 kilograms?
99230290000000
How many weeks are there in 126579.138 hours?
753.44725
What is 13/4 of a litre in millilitres?
3250
How many micrometers are there in 8/25 of a centimeter?
3200
How many centimeters are there in 31.54673 millimeters?
3.154673
What is fourty-eight fifths of a gram in milligrams?
9600
How many months are there in 5/6 of a year?
10
What is 184.1347 millilitres in litres?
0.1841347
What is 27/2 of a decade in years?
135
How many kilograms are there in 17/2 of a tonne?
8500
How many meters are there in 25/4 of a kilometer?
6250
What is twenty-one quarters of a tonne in kilograms?
5250
What is three eighths of a litre in millilitres?
375
How many grams are there in three fifths of a kilogram?
600
What is 1/5 of a meter in centimeters?
20
What is 6738.265 years in decades?
673.8265
What is 8681.002 weeks in hours?
1458408.336
How many litres are there in 4.227059 millilitres?
0.004227059
What is 3/40 of a millennium in months?
900
What is 538.4296 weeks in nanoseconds?
325642222080000000
How many millilitres are there in 1/20 of a litre?
50
How many milligrams are there in 485.6948ug?
0.4856948
What is 1/10 of a litre in millilitres?
100
What is 1267.742g in milligrams?
1267742
How many milliseconds are there in 1/5 of a minute?
12000
How many millennia are there in 2698579.8 months?
224.88165
How many nanogra | {
"pile_set_name": "DM Mathematics"
} |
13324 rounded to 5 decimal places?
-0.59231
Round -2001994.222 to the nearest 10000.
-2000000
Round 0.0000008975857 to six dps.
0.000001
Round -0.000679255146 to 5 decimal places.
-0.00068
Round 5220632910 to the nearest 1000000.
5221000000
What is 4.816598 rounded to zero dps?
5
Round 6577851.357 to the nearest 10000.
6580000
What is 1.124366 rounded to 1 dp?
1.1
What is 0.001535270261 rounded to six dps?
0.001535
What is 25165552 rounded to the nearest ten thousand?
25170000
Round 4363.1203 to the nearest one hundred.
4400
What is 66.119314 rounded to 0 dps?
66
Round -0.0003914338 to six decimal places.
-0.000391
Round 2063579.16 to the nearest 100.
2063600
What is -174543435.1 rounded to the nearest one hundred thousand?
-174500000
Round -560435.92 to the nearest one thousand.
-560000
Round 1.43721394 to three decimal places.
1.437
Round -0.02234172008 to 5 dps.
-0.02234
Round -0.000001094849819 to six decimal places.
-0.000001
What is -595297.701 rounded to the nearest one hundred?
-595300
What is -3568394.349 rounded to the nearest 1000?
-3568000
Round -0.0004546623821 to 7 decimal places.
-0.0004547
What is -0.000045747135 rounded to 7 decimal places?
-0.0000457
Round 0.81565799 to four dps.
0.8157
Round 0.0000014032468 to six dps.
0.000001
Round 22756980700 to the nearest one million.
22757000000
Round -2.9038353 to two dps.
-2.9
Round -1875163.46 to the nearest 1000.
-1875000
Round -0.94700344 to 2 decimal places.
-0.95
Round -0.002010495929 to five decimal places.
-0.00201
What is -1158622.6 rounded to the nearest one hundred thousand?
-1200000
Round 10540814.011 to the nearest one thousand.
10541000
Round 300.26598 to the nearest integer.
300
What is 5523110.997 rounded to the nearest 10000?
5520000
Round -0.0534758767 to 3 dps.
-0.053
What is -0.00012505661 rounded to 6 decimal places?
-0.000125
Round -17965480.4 to the nearest 1000000.
-18000000
What is -23799460.3 rounded to the nearest one thousand?
-23799000
What is 99055.5818 rounded to the nearest 1000?
99000
Round -1886.866494 to the nearest 10.
-1890
Round 4125656.2 to the nearest 1000000.
4000000
Round 13.641341308 to 2 dps.
13.64
What is -0.00041728213 rounded to 5 decimal places?
-0.00042
What is -138679509400 rounded to the nearest 1000000?
-138680000000
Round -41.32448749 to the nearest integer.
-41
Round -0.00006725710767 to 7 dps.
-0.0000673
What is -0.678185651 rounded to three dps?
-0.678
Round -128908465 to the nearest 10000.
-128910000
Round -9.3946431 to the nearest integer.
-9
What is 0.617174426 rounded to 1 decimal place?
0.6
Round 59371.3542 to the nearest 100.
59400
What is 0.0000035556571 rounded to five dps?
0
What is -531.505774 rounded to the nearest integer?
-532
Round -27.165371 to the nearest integer.
-27
What is -0.0000015459897 rounded to 7 dps?
-0.0000015
What is -46479.76884 rounded to the nearest one hundred?
-46500
What is 660.3388073 rounded to the nearest ten?
660
What is 4383614.4 rounded to the nearest 1000000?
4000000
Round 10125848.3 to the nearest 100000.
10100000
Round 11.1518362 to 3 decimal places.
11.152
Round -17195.6638 to the nearest 10.
-17200
Round 0.00000604069543 to seven dps.
0.000006
What is -653.519004 rounded to 1 dp?
-653.5
Round -0.00004341054393 to five dps.
-0.00004
What is 2471.599133 rounded to 0 decimal places?
2472
What is 4255639.9 rounded to the nearest 10000?
4260000
What is 17.104689 rounded to one decimal place?
17.1
What is -5.2301921 rounded to one dp?
-5.2
What is 211.133014 rounded to two decimal places?
211.13
Round -0.01078685977 to four dps.
-0.0108
What is 0.17133415954 rounded to 6 decimal places?
0.171334
What is 0.15259587 rounded to 2 dps?
0.15
Round 3678.7751 to 1 dp.
3678.8
What is -8663838.1 rounded to the nearest one thousand?
-8664000
What is -0.00007848689786 rounded to 5 dps?
-0.00008
What is 11.23688933 rounded to two dps?
11.24
What is 7.43542 rounded to 2 dps?
7.44
Round -182413.6352 to the nearest ten.
-182410
Round 27235.954 to the nearest one thousand.
27000
Round 4.99818807 to four decimal places.
4.9982
What is -788098920 rounded to the nearest 1000000?
-788000000
What is -28234339170 rounded to the nearest one million?
-28234000000
Round 0.01269637986 to four dps.
0.0127
What is -4772.5082 rounded to the nearest integer?
-4773
Round -0.0000145096039 to seven decimal places.
-0.0000145
Round -24.32816866 to 1 decimal place.
-24.3
Round 0.00083239747 to 6 decimal places.
0.000832
What is -0.144165142 rounded to 4 decimal places?
-0.1442
What is -84886.3601 rounded to the nearest ten thousand?
-80000
Round 9450630.37 to the nearest 10000.
9450000
What is -129.8259731 rounded to the nearest integer?
-130
Round 0.0650324031 to 2 dps.
0.07
Round -10390300.63 to the nearest 1000000.
-10000000
What is -0.01471559572 rounded to 7 decimal places?
-0.0147156
What is -0.013199019 rounded to four dps?
-0.0132
What is 115891863 rounded to the nearest 100000?
115900000
What is -202.709555 rounded to one dp?
-202.7
What is 81921899.25 rounded to the nearest 10000?
81920000
What is 887.48495 rounded to the nearest 10?
890
Round 11778023.5 to the nearest one million.
12000000
What is 0.001857502 rounded to 5 dps?
0.00186
What is -57532270.5 rounded to the nearest 10000?
-57530000
Round 32321480.72 to the nearest 10000.
32320000
Round -0.0183336432 to 5 dps.
-0.01833
What is -0.03071471791 rounded to 6 decimal places?
-0.030715
What is 0.0000005633362 rounded to five decimal places?
0
Round -0.00098763017 to 6 decimal places.
-0.000988
Round -0.0037858425 to 7 dps.
-0.0037858
What is -0.025180384 rounded to four decimal places?
-0.0252
Round -0.000281802039 to six dps.
-0.000282
Round -0.0001117149954 to 6 dps.
-0.000112
Round 5974687.25 to the nearest 1000.
5975000
Round -0.024151368 to 3 decimal places.
-0.024
Round -393.90696 to the nearest integer.
-394
What is -0.040709697 rounded to five dps?
-0.04071
What is 0.0001334054231 rounded to 6 dps?
0.000133
What is 0.00101487264 rounded to five dps?
0.00101
Round -0.782985 to the nearest integer.
-1
Round 1670814.24 to the nearest ten thousand.
1670000
What is 594903.9127 rounded to the nearest 100000?
600000
Round -0.000601982884 to seven decimal places.
-0.000602
What is -0.005462292369 rounded to seven dps?
-0.0054623
What is -0.02649097093 rounded to 4 decimal places?
-0.0265
What is 18.2972461 rounded to three decimal places?
18.297
What is 569.6404829 rounded to 1 decimal place?
569.6
Round 7820603.26 to the nearest 1000000.
8000000
Round 1342114707.6 to the nearest 10000.
1342110000
Round 168.06240652 to the nearest ten.
170
What is 0.650321537 rounded to 4 decimal places?
0.6503
What is -33087.1703 rounded to the nearest ten thousand?
-30000
Round 129344.602 to the nearest one hundred.
129300
What is -27.65172966 rounded to 1 decimal place?
-27.7
Round 875095.312 to the nearest ten thousand.
880000
What is -931095.484 rounded to the nearest 1000?
-931000
What is -126039588.9 rounded to the nearest one million?
-126000000
What is 38466086.4 rounded to the nearest ten thousand?
38470000
Round -706378050 to the nearest one hundred thousand.
-706400000
Round 0.0000550348764 to 7 decimal places.
0.000055
What is -1.678082347 rounded to two decimal places?
-1.68
What is 229450.038 rounded to the nearest one hundred thousand?
200000
Round 0.000007465240919 to 6 dps.
0.000007
What is 3903.8473 rounded to the nearest ten?
3900
Round -3357.91191 to the nearest 100.
-3400
What is -0.0152322605 rounded to four dps?
-0.0152
What is -115898492 rounded to the nearest 10000?
-115900000
What is -1.7556528 rounded to three dps?
-1.756
Round -13033685.98 to the nearest 1000000.
-13000000
Round 555.242653 to the nearest integer.
555
Round -349547.72 to the nearest 100.
-349500
What is -6209.029 rounded to the nearest one thousand?
-6000
What is 0.0155433186 rounded to four dps?
0.0155
Round 1070.29172 to the nearest 100.
1100
Round 0.0063255859 to 6 dps.
0.006326
Round -6008574.3 to the nearest ten thousand.
-6010000
What is 0.0843211798 rounded to four decimal places?
0.0843
Round 218.255749 to the nearest 10.
220
What is 13.53071435 rounded to the nearest 10?
10
Round -532798.968 to the nearest ten thousand.
-530000
Round -190.258872 to 2 dps.
-190.26
Round | {
"pile_set_name": "DM Mathematics"
} |
+ 2)
Solve 4*d**4 - 68*d**3 - 228*d**2 - 236*d - 80 = 0.
-1, 20
Factor 2*c**2 + 5160*c - 5162.
2*(c - 1)*(c + 2581)
Solve -2*k**2 + 2900*k - 1051250 = 0.
725
Suppose -2*d**5 - 12*d**4 - 4*d**3 + 40*d**2 + 54*d + 20 = 0. What is d?
-5, -1, 2
Factor 784*j**3 + 9296*j**2 - 1340*j + 48.
4*(j + 12)*(14*j - 1)**2
Factor -4*n**3/3 - 356*n**2/3 + 740*n/3 + 364.
-4*(n - 3)*(n + 1)*(n + 91)/3
Let 52*i**2/9 + 148*i/3 - 24 = 0. Calculate i.
-9, 6/13
What is h in 4*h**4 - 956*h**3 + 54632*h**2 + 303536*h - 357216 = 0?
-6, 1, 122
Let -w**2/3 - 2*w/3 + 143/3 = 0. What is w?
-13, 11
Solve 8*n**4 + 212*n**3 - 108*n**2 = 0.
-27, 0, 1/2
Find x, given that -x**5/7 + 54*x**4/7 - 130*x**3 + 4836*x**2/7 - 7153*x/7 + 3174/7 = 0.
1, 6, 23
Suppose -14*n**5/3 + 1636*n**4/9 - 1514*n**3/9 - 232*n**2/9 + 152*n/9 = 0. What is n?
-1/3, 0, 2/7, 1, 38
What is z in 4*z**5/3 - 157*z**4/3 + 479*z**3/3 - 398*z**2/3 + 24*z = 0?
0, 1/4, 1, 2, 36
Factor -2*z**2 - 50*z.
-2*z*(z + 25)
Suppose g**5/7 - 2*g**4 + 68*g**3/7 - 130*g**2/7 + 75*g/7 = 0. What is g?
0, 1, 3, 5
Solve 5*s**5 - 75*s**4 + 255*s**3 + 55*s**2 - 1140*s + 900 = 0 for s.
-2, 1, 3, 10
What is d in -d**5 + 5768*d**4 - 8328985*d**3 + 33252518*d**2 - 41541148*d + 16611848 = 0?
1, 2, 2882
Factor -10*l**3/19 - 176*l**2/19 - 738*l/19 + 324/19.
-2*(l + 9)**2*(5*l - 2)/19
Let w**4 + 13*w**3 - 35*w**2 - 69*w + 90 = 0. Calculate w.
-15, -2, 1, 3
Factor -k**3/4 + 240*k**2.
-k**2*(k - 960)/4
Suppose -p**5 + 495*p**4 + 3506*p**3 + 4032*p**2 - 8032*p = 0. What is p?
-4, 0, 1, 502
What is n in -4*n**2 - 40*n - 100 = 0?
-5
Factor -d**5 + 23*d**4 + 230*d**3 + 542*d**2 + 491*d + 155.
-(d - 31)*(d + 1)**3*(d + 5)
Let 4*a**3 + 1108*a**2 - 4*a - 1108 = 0. Calculate a.
-277, -1, 1
Let 2*c**3/17 + 166*c**2/17 - 2*c/17 - 166/17 = 0. Calculate c.
-83, -1, 1
Let -20*w**3 + 55*w**2 + 80*w - 220 = 0. Calculate w.
-2, 2, 11/4
Factor -5*y**4 + 300*y**3 + 1280*y**2.
-5*y**2*(y - 64)*(y + 4)
Factor -3*u**3 + 39*u**2 - 96*u + 60.
-3*(u - 10)*(u - 2)*(u - 1)
Find k, given that 40*k**4/3 + 176*k**3/3 + 274*k**2/3 + 58*k + 12 = 0.
-3/2, -1, -2/5
Factor -3*n**3 - 624*n**2 - 31815*n + 66150.
-3*(n - 2)*(n + 105)**2
Factor 2*q**2/11 + 24*q/11 + 40/11.
2*(q + 2)*(q + 10)/11
Factor c**3/7 - 2*c**2/7 - 13*c - 88/7.
(c - 11)*(c + 1)*(c + 8)/7
Factor 15*i**3 - 24*i**2 - 33*i + 42.
3*(i - 2)*(i - 1)*(5*i + 7)
Factor 2*c**2 + 32*c.
2*c*(c + 16)
Factor -p**2 - 199*p.
-p*(p + 199)
Find k, given that -2*k**5/5 + 2*k**3/5 = 0.
-1, 0, 1
What is t in 10*t**4/3 + 12*t**3 - 2*t**2 - 64*t/3 + 8 = 0?
-3, -2, 2/5, 1
Let 3*n**2 + 102*n + 867 = 0. Calculate n.
-17
Factor -2*c**3 - 146*c**2 - 2590*c + 2738.
-2*(c - 1)*(c + 37)**2
Factor -243*c**5 + 34830*c**4 - 1236420*c**3 - 2503880*c**2/3 - 186240*c - 13824.
-(c - 72)**2*(9*c + 2)**3/3
Factor 5*u**4 - 20*u**2.
5*u**2*(u - 2)*(u + 2)
Suppose 27*v**2/2 - 190*v + 14 = 0. What is v?
2/27, 14
Factor -2*h**3/7 - 2*h**2/7.
-2*h**2*(h + 1)/7
Factor -g**3 - 4*g**2 + 5*g.
-g*(g - 1)*(g + 5)
Find z such that 2*z**4/5 - 22*z**3/5 + 54*z**2/5 - 10*z + 16/5 = 0.
1, 8
Factor 5*c**2 + 3540*c + 626580.
5*(c + 354)**2
Let 2*o**3/9 + 8*o**2/9 + 2*o/3 = 0. What is o?
-3, -1, 0
Suppose -k**3/7 - 5*k**2/7 - k - 3/7 = 0. Calculate k.
-3, -1
Determine t so that 2*t**5/7 + 2*t**4 + 34*t**3/7 + 34*t**2/7 + 12*t/7 = 0.
-3, -2, -1, 0
Suppose o**5 - 21*o**4 - 25*o**3 + 61*o**2 + 108*o + 44 = 0. Calculate o.
-1, 2, 22
Suppose -3*g**2 + 24*g - 21 = 0. Calculate g.
1, 7
Solve -2*f**2 + 811*f + 406 = 0.
-1/2, 406
Factor -2*y**2 + 22*y - 56.
-2*(y - 7)*(y - 4)
Factor -45*u**3 + 525*u**2 - 1160*u + 720.
-5*(u - 9)*(3*u - 4)**2
Let -2*f**3 + 36*f**2 + 50*f - 228 = 0. Calculate f.
-3, 2, 19
Solve 2*q**4 + 44*q**3 + 194*q**2 - 528*q + 288 = 0.
-12, 1
Find h such that -3*h**5 + 9*h**4 + 51*h**3 - 45*h**2 - 264*h - 180 = 0.
-2, -1, 3, 5
Solve 9*n**5/4 + 91*n**4/2 + 13*n**3/4 - 132*n**2 + 61*n + 20 = 0 for n.
-20, -2, -2/9, 1
Let 5*u**5 - 85*u**4 - 415*u**3 + 1925*u**2 + 7250*u + 5000 = 0. What is u?
-5, -2, -1, 5, 20
Let -5*l**2/8 - 21*l/8 - 2 = 0. What is l?
-16/5, -1
Solve 5*d**4 + 4*d**3 - 19*d**2 - 18*d = 0.
-9/5, -1, 0, 2
Factor -b**4 - b**3 + b**2 + b.
-b*(b - 1)*(b + 1)**2
Find j such that -4*j**3 - 60*j**2 - 56*j = 0.
-14, -1, 0
Determine s, given that 2*s**3 + 6672*s**2 + 7419264*s + 2750073856 = 0.
-1112
Factor 2*x**4 - 38*x**3 - 2*x**2 + 38*x.
2*x*(x - 19)*(x - 1)*(x + 1)
Suppose 2*p**3 - 510*p**2/11 - 436*p/11 + 96/11 = 0. Calculate p.
-1, 2/11, 24
Factor -2*d**3/11 + 12*d**2/11 - 16*d/11.
-2*d*(d - 4)*(d - 2)/11
Suppose -a**3/3 + 3*a**2 - 8*a + 16/3 = 0. What is a?
1, 4
Factor 5*k**3/3 + 20*k**2/3 - 35*k.
5*k*(k - 3)*(k + 7)/3
Factor -6*m**4 - 23*m**3/4 + m**2/4.
-m**2*(m + 1)*(24*m - 1)/4
Find q, given that 2*q**5 + 4*q**4 - 24*q**3 + 28*q**2 - 10*q = 0.
-5, 0, 1
Find c, given that c**4/5 - 172*c**3/5 + 327*c**2/5 + 440*c + 340 = 0.
-2, -1, 5, 170
Solve -20*s**5 + 568*s**4 - 1712*s**3 + 264*s**2 + 900*s = 0.
-3/5, 0, 1, 3, 25
Find x such that -4*x**5 - 8*x**4 + 8*x**2 + 4*x = 0.
-1, 0, 1
Find w such that 4*w**5 - 52*w**4 - 284*w**3 + 164*w**2 + 712*w - 544 = 0.
-4, -2, 1, 17
Factor -u**4/5 - u**3.
-u**3*(u + 5)/5
Factor m**4 + 4*m**3 - 2*m**2 - 12*m + 9.
(m - 1)**2*(m + 3)**2
What is s in -s**4/2 - 69*s**3 - 2380*s**2 + 69*s + 4761/2 = 0?
-69, -1, 1
Factor -8*y**4 - 50*y**3 - 108*y**2 - 88*y - 16.
-2*(y + 2)**3*(4*y + 1)
Let j**3/2 + 105*j**2/2 = 0. What is j?
-105, 0
Find x, given that -5*x**4 - 140*x**3 - 1065*x**2 - 650*x + 6760 = 0.
-13, -4, 2
Factor -12*d**2 + 2110*d + 352.
-2*(d - 176)*(6*d + 1)
What is d in 4*d**5 - 2*d**4 - 23*d**3/4 + 3*d**2/2 + 9*d/4 = 0?
-3/4, 0, 1
Factor n**2 - n - 156.
(n - 13)*(n + 12)
Let 22*k**5 - 112*k**4 + 10*k**3 = 0. What is k?
0, 1/11, 5
Factor 2*z**2 - 14*z - 60.
2*(z - 10)*(z + 3)
Suppose -n**2/3 + 1675*n/3 - 558 = 0. Calculate n.
1, 1674
What is m in 2*m**5 - 4*m**4 - 22*m**3 + 24*m**2 = 0?
-3, 0, 1, 4
Let -t**2 + 474*t - 56169 = 0. What is t?
237
Determine t so that -t**3/3 - 8*t**2 = 0.
-24, 0
Factor 3*t**2 - 1506*t + 189003.
3*(t - 251)**2
Factor -w**5 - 5*w**4 - 8*w**3 - 4*w**2.
-w**2*(w + 1)*(w + 2)**2
Suppose -2*u**5/7 - 94*u**4/7 - 118*u**3 - 1202*u**2/7 + 828*u/7 + 1296/7 = 0. What is u?
-36, -9, -2, -1, 1
Suppose -3*f**5 + 9*f**4 + 63*f**3 - 129*f**2 - 288*f + 540 = 0. Calculate f.
-3, 2, 5
Determine y, given that y**4 - y**3 = 0.
0, 1
Factor 2*q**4/21 + 56*q**3/3 + 18812*q**2/21 - 1848*q + 6534/7.
2*(q - 1)**2*(q + 99)**2/21
Determine l so that l**2/4 + 5*l = 0.
-20, 0
Factor 2*p**3 + 4*p**2.
2*p**2*(p + 2)
Factor -580*w**2 - 612*w - 32.
-4*(w + 1)*(145*w + 8)
Factor 9*w**3/7 - 24*w**2/7 + 12*w/7.
3*w*(w - 2)*(3*w - 2)/7
Factor 3*d**3/7 - 159*d**2/7 - 3*d/7 + 159/7.
3*(d - 53)*(d - 1)*(d + 1)/7
Factor -q**3/3 + 37*q**2/3 - 280*q/3 - 400.
-(q - 20)**2*(q + 3)/3
Factor -p**4 + 3*p**3 + 382*p**2 - 3552*p + 3168.
-(p - 12)**2*(p - 1)*(p + 22)
What is t in -3*t**4/5 + 2*t**3/5 + 9*t**2/5 - 12*t/5 + 4/5 = 0?
-2, 2/3, 1
Factor 2*w**2 - 796*w + 79202.
2*(w - 199)**2
Factor 4*r**2 - 136*r - 2688.
4*(r - 48)*(r + 14)
Factor -3*f**4 - 27*f**3 + 141*f**2 - 189*f + 78.
-3*(f - 2)*(f - 1)**2*(f + 13)
What is d in -4*d**5 + 46*d**4 + 150*d**3 - 2954*d**2 + 4214*d + 20580 = 0?
-15/2, -2, 7
Find n such that n**3/7 - 53*n**2/7 + 328*n/7 - 276/7 = 0.
1, 6, 46
Factor 5*b**2 + 79120*b + 312998720.
5*(b + 7912)**2
Factor -2*c**4 - 34*c**3 + 82*c**2 + 114*c.
-2*c*(c - 3)*(c + 1)*(c + 19)
What is y in -y**5/6 + y**4/3 + 11*y**3/6 - 2*y**2 = 0?
-3, 0, 1, 4
Solve 2*v**2/5 - 12*v/5 + 2 = 0.
1, 5
What is n in n**3/6 - 15*n**2 - 679*n/6 = 0?
-7, 0, 97
Find q such that -q**2/10 + 731*q/5 - 534361/10 = 0.
731
Factor -z**5 + 32*z**4 + 178*z**3 + 256*z**2 + 111*z.
-z*(z - 37)*(z + 1)**2*(z + 3)
Factor -5*f**2 + 175*f - 870.
-5*(f - 29)*(f - 6)
Factor 2*i**2/9 + 10*i/3 + 52/9.
2*(i + 2)*(i + 13)/9
What is k in k**4 + 18*k**3 + 101*k**2 + 132*k - 252 = 0?
-7, -6, 1
What is i in i**3/4 + 11*i**2/4 + 39*i/4 + 45/4 = 0?
-5, -3
Let 3*u**2/2 + 933*u + 290163/2 = 0. What is u?
-311
Factor 2*x**3 + 158*x**2 + 2358*x + 9882.
2*(x + 9)**2*(x + 61)
What is i in -3*i**5 + 15*i**4 - 9*i**3 - 15*i**2 + 12*i = 0?
-1, 0, 1, 4
Suppose 45*a**5 + 330*a**4 + 515*a**3 - 150*a**2 - 540*a - 200 = 0. Calculate a.
-5, -2, -2/3, 1
Solve -2*v**3 - 8*v**2 + 6 | {
"pile_set_name": "DM Mathematics"
} |
AM
What is 39 minutes after 1:23 PM?
2:02 PM
What is 609 minutes before 3:48 PM?
5:39 AM
How many minutes are there between 3:53 PM and 3:02 AM?
669
What is 677 minutes after 1:39 AM?
12:56 PM
What is 136 minutes before 8:33 AM?
6:17 AM
What is 595 minutes after 4:56 PM?
2:51 AM
What is 310 minutes after 11:41 AM?
4:51 PM
What is 250 minutes after 1:55 PM?
6:05 PM
What is 49 minutes before 5:26 PM?
4:37 PM
What is 496 minutes before 3:55 PM?
7:39 AM
What is 120 minutes after 1:08 AM?
3:08 AM
What is 700 minutes before 11:57 AM?
12:17 AM
What is 244 minutes before 8:23 AM?
4:19 AM
How many minutes are there between 5:04 PM and 10:59 PM?
355
What is 62 minutes after 11:48 AM?
12:50 PM
How many minutes are there between 9:32 PM and 1:45 AM?
253
How many minutes are there between 7:12 PM and 1:46 AM?
394
What is 406 minutes after 3:41 AM?
10:27 AM
How many minutes are there between 1:18 PM and 8:30 PM?
432
What is 525 minutes before 8:05 PM?
11:20 AM
How many minutes are there between 1:02 PM and 10:19 PM?
557
What is 48 minutes before 11:26 PM?
10:38 PM
What is 296 minutes after 6:46 AM?
11:42 AM
What is 302 minutes after 7:47 PM?
12:49 AM
How many minutes are there between 5:03 AM and 6:45 AM?
102
How many minutes are there between 9:40 AM and 4:48 PM?
428
How many minutes are there between 12:38 PM and 9:45 PM?
547
How many minutes are there between 4:54 PM and 5:48 PM?
54
How many minutes are there between 4:06 PM and 5:34 PM?
88
How many minutes are there between 10:14 PM and 6:19 AM?
485
What is 136 minutes after 1:06 AM?
3:22 AM
What is 209 minutes before 6:21 PM?
2:52 PM
How many minutes are there between 5:07 PM and 2:26 AM?
559
What is 406 minutes before 6:38 PM?
11:52 AM
What is 324 minutes before 9:15 PM?
3:51 PM
How many minutes are there between 8:56 AM and 4:34 PM?
458
What is 641 minutes after 10:14 AM?
8:55 PM
How many minutes are there between 3:43 PM and 4:31 PM?
48
How many minutes are there between 10:05 PM and 9:06 AM?
661
How many minutes are there between 5:44 AM and 11:26 AM?
342
How many minutes are there between 4:38 PM and 6:54 PM?
136
What is 48 minutes after 4:16 AM?
5:04 AM
What is 304 minutes after 4:58 PM?
10:02 PM
What is 592 minutes before 3:47 PM?
5:55 AM
How many minutes are there between 1:55 PM and 9:38 PM?
463
What is 406 minutes after 6:02 AM?
12:48 PM
What is 588 minutes after 4:21 AM?
2:09 PM
How many minutes are there between 3:54 PM and 1:11 AM?
557
How many minutes are there between 10:44 PM and 7:12 AM?
508
What is 419 minutes after 9:35 PM?
4:34 AM
What is 291 minutes before 5:12 AM?
12:21 AM
How many minutes are there between 9:10 PM and 8:49 AM?
699
How many minutes are there between 2:46 PM and 1:55 AM?
669
How many minutes are there between 12:07 PM and 9:48 PM?
581
How many minutes are there between 7:04 AM and 3:15 PM?
491
How many minutes are there between 5:37 PM and 6:54 PM?
77
What is 576 minutes after 3:21 PM?
12:57 AM
How many minutes are there between 11:11 PM and 6:01 AM?
410
What is 507 minutes after 5:27 AM?
1:54 PM
How many minutes are there between 3:26 PM and 12:33 AM?
547
How many minutes are there between 2:40 AM and 10:13 AM?
453
What is 101 minutes before 10:19 PM?
8:38 PM
What is 416 minutes before 7:34 PM?
12:38 PM
What is 235 minutes before 4:56 PM?
1:01 PM
How many minutes are there between 5:08 AM and 7:54 AM?
166
What is 223 minutes before 7:10 PM?
3:27 PM
How many minutes are there between 5:36 AM and 10:40 AM?
304
How many minutes are there between 9:55 AM and 8:31 PM?
636
What is 270 minutes after 8:58 PM?
1:28 AM
What is 502 minutes after 3:48 AM?
12:10 PM
How many minutes are there between 7:11 PM and 3:19 AM?
488
How many minutes are there between 4:22 AM and 1:02 PM?
520
How many minutes are there between 4:54 AM and 2:11 PM?
557
How many minutes are there between 4:20 AM and 2:09 PM?
589
How many minutes are there between 5:46 PM and 11:40 PM?
354
What is 423 minutes after 6:52 PM?
1:55 AM
How many minutes are there between 7:56 PM and 4:18 AM?
502
How many minutes are there between 2:41 AM and 2:18 PM?
697
How many minutes are there between 6:10 AM and 8:35 AM?
145
What is 620 minutes before 5:00 PM?
6:40 AM
What is 302 minutes after 3:18 AM?
8:20 AM
How many minutes are there between 10:43 AM and 7:52 PM?
549
How many minutes are there between 7:07 AM and 10:11 AM?
184
How many minutes are there between 3:18 AM and 8:27 AM?
309
What is 331 minutes after 11:50 AM?
5:21 PM
What is 526 minutes after 9:36 PM?
6:22 AM
How many minutes are there between 11:11 PM and 1:08 AM?
117
How many minutes are there between 4:09 PM and 4:59 PM?
50
How many minutes are there between 9:29 AM and 11:37 AM?
128
What is 121 minutes before 2:10 AM?
12:09 AM
What is 639 minutes before 1:25 PM?
2:46 AM
How many minutes are there between 6:26 AM and 4:31 PM?
605
How many minutes are there between 10:20 AM and 11:02 AM?
42
What is 313 minutes before 4:35 AM?
11:22 PM
How many minutes are there between 8:23 AM and 11:38 AM?
195
How many minutes are there between 11:41 AM and 12:01 PM?
20
What is 289 minutes after 5:51 AM?
10:40 AM
What is 39 minutes before 4:24 AM?
3:45 AM
How many minutes are there between 3:09 PM and 6:24 PM?
195
What is 446 minutes before 1:54 AM?
6:28 PM
What is 191 minutes after 5:16 AM?
8:27 AM
What is 401 minutes before 6:34 PM?
11:53 AM
How many minutes are there between 1:47 AM and 4:38 AM?
171
How many minutes are there between 4:52 PM and 5:02 PM?
10
How many minutes are there between 4:41 PM and 11:42 PM?
421
How many minutes are there between 4:22 PM and 7:49 PM?
207
What is 719 minutes before 6:53 AM?
6:54 PM
What is 302 minutes before 4:35 AM?
11:33 PM
What is 110 minutes before 5:21 PM?
3:31 PM
How many minutes are there between 9:09 AM and 5:02 PM?
473
What is 279 minutes before 10:02 PM?
5:23 PM
How many minutes are there between 3:49 AM and 7:52 AM?
243
How many minutes are there between 6:08 AM and 11:25 AM?
317
What is 610 minutes before 7:04 AM?
8:54 PM
What is 459 minutes before 8:56 AM?
1:17 AM
How many minutes are there between 2:08 PM and 11:32 PM?
564
What is 688 minutes after 1:22 PM?
12:50 AM
How many minutes are there between 5:34 PM and 8:21 PM?
167
What is 251 minutes before 2:09 AM?
9:58 PM
What is 708 minutes before 5:31 AM?
5:43 PM
How many minutes are there between 2:33 AM and 2:52 AM?
19
How many minutes are there between 8:35 AM and 12:39 PM?
244
How many minutes are there between 9:26 AM and 12:48 PM?
202
How many minutes are there between 12:22 PM and 1:22 PM?
60
How many minutes are there between 2:45 PM and 8:16 PM?
331
What is 680 minutes after 1:24 AM?
12:44 PM
What is 69 minutes before 2:56 AM?
1:47 AM
How many minutes are there between 6:22 AM and 12:36 PM?
374
What is 217 minutes after 8:38 AM?
12:15 PM
How many minutes are there between 12:05 PM and 9:18 PM?
553
What is 591 minutes before 11:26 AM?
1:35 AM
How many minutes are there between 8:47 PM and 12:50 AM?
243
How many minutes are there between 6:30 AM and 5:48 PM?
678
How many minutes are there between 5:22 AM and 6:39 AM?
77
How many minutes are there between 3:37 PM and 9:36 PM?
359
What is 175 minutes after 10:36 PM?
1:31 AM
What is 652 minutes after 1:02 PM?
11:54 PM
What is 586 minutes after 5:15 PM?
3:01 AM
What is 6 minutes after 7:13 PM?
7:19 PM
What is 144 minutes after 11:36 AM?
2:00 PM
What is 279 minutes before 12:28 PM?
7:49 AM
What is 252 minutes after 4:47 AM?
8:59 AM
What is 40 minutes before 10:16 PM?
9:36 PM
How many minutes are there between 10:45 AM and 6:31 PM?
466
How many minutes are there between 11:10 PM and 5:55 AM?
405
What is 647 minutes before 7:35 AM?
8:48 PM
How many minutes are there between 2:39 PM and 9:40 PM?
421
What is 678 minutes after 4:41 PM?
3:59 AM
What is 331 minutes before 1:37 PM?
8:06 AM
What is 672 minutes before 8:25 PM?
9:13 AM
How many minutes are there between 5:42 AM and 5:22 PM?
700
How many minutes are there between 5:46 AM and 12:36 PM?
410
What is 286 minutes before 10:42 AM?
5:56 AM
How many minutes are there between 5:16 AM and 12:58 PM?
462
How many minutes are there between 2:00 PM and 8:27 PM?
387
How many minutes are there between 9:52 PM and 8:44 AM?
652
How many minutes are there between 3:25 PM and | {
"pile_set_name": "DM Mathematics"
} |
Suppose 3*l = 4*s - o - 18, 3*s - 4 = -4*l. Which is smaller: -3 or l?
-3
Let p = -45 - -35.4. Let w = 81.6 + p. Let l = w - 74.1. Is -2/5 > l?
True
Let v(i) = 1037*i**2 - 12*i - 10. Let b be v(-1). Which is bigger: 1038 or b?
b
Let j = -245 - -1. Let k = -401 - j. Which is bigger: -156 or k?
-156
Let o = 152.75 + -1.75. Let n = -151.2 + o. Which is bigger: 18 or n?
18
Suppose 3*y = 11*q + 8, -4*y = -2*q + 6 - 4. Which is bigger: y or 2/5573?
2/5573
Suppose 2*a = 7*r - 4*r - 3, 2*a + 5*r + 11 = 0. Let g(k) = 42*k + 196. Let b be g(a). Is b at least as big as 70?
True
Suppose 22 - 49 = -14*v - 41. Which is smaller: 9/653 or v?
v
Let v be -164 - (7 - (-10)/(-5)). Let a = 1525/9 + v. Are 0 and a equal?
False
Let r = -257408/83 + 3101. Let v = -5251/18260 - r. Which is smaller: 1 or v?
v
Suppose 9*s + 1094 = -328. Let d = s + 139. Is -17 greater than d?
True
Let h = -0.043 + 0.263. Let t = 1.42 - h. Let x = 0.8 - t. Do x and -7 have different values?
True
Let c = 138/5 - 27. Let g = -71 - -145/2. Which is greater: g or c?
g
Let i be (9/(-36))/(2/664). Let x = i - -77. Which is smaller: -90/13 or x?
-90/13
Let j = 38.81 + -39. Let d(f) = f**3 + 8*f**2 - f + 38. Let l be d(-9). Let p be (-2)/4 + (-17)/l. Which is greater: p or j?
p
Let b(q) = -2*q + 1 + 10*q + 2 - q. Let y be b(-2). Let x = -10 - y. Is x bigger than -2/45?
True
Suppose -p = -4 + 3. Let k(q) = 5*q + 1. Let g be k(p). Let d = 0.0602 - -0.9398. Is g at least as big as d?
True
Let v be ((-75)/(-210))/((-30)/24) - 368/(-1582). Is 9 < v?
False
Suppose 3*d = i - d + 13, -2*i + 4 = 2*d. Let v be (2 - -2 - i)*(-24)/20. Let r be (-7 - v)*2/(4 + -2). Which is greater: -11/9 or r?
r
Suppose 2*a = 4*t + 16, 7*t - 5*t = 2*a - 14. Suppose -a = 2*v, n + v - 2*v = 37. Are n and 31 non-equal?
True
Let g = 4.299 - 5.299. Which is bigger: -262.6 or g?
g
Suppose 2*c - 13 = 3*m, -5*c + m + 23 = -2*c. Let h be ((-96)/(-12))/c*2/(-6). Which is greater: h or -1/4?
-1/4
Suppose -19*q - 17*q = -5760. Suppose q*p - 163*p + 198 = 0. Which is smaller: p or 63?
63
Suppose 2*n + 10 - 16 = 3*m, 4*m = 5*n - 15. Suppose 8*o = 3*o - n*t - 228, -2*o - 3*t - 84 = 0. Let p be 3*40*4/(-10). Does o = p?
True
Let z = 1.12 - 61.32. Let b = z - -60. Which is smaller: b or -116?
-116
Let n = -9647.89 - -9648. Let i be 5/(-2) - 3/(-6). Let w = i - -1. Which is greater: w or n?
n
Suppose 0 = -17*g - 84 + 228 + 519. Are g and 39 unequal?
False
Let n = 52 + -56. Let w be (((-240)/(-39))/n)/14. Which is bigger: 1 or w?
1
Suppose 0 = 2*i - 8, 23 + 20 = -3*o + i. Which is smaller: 6 or o?
o
Let l = -20 + 36. Suppose -2*s + 6*s - 300 = 0. Suppose -s = -5*x - 5*d, 2*d + 35 - 11 = x. Is l <= x?
True
Let h = 241/9042 + 1/274. Suppose a - 300 = 2*l, a - l = -101 + 405. Let f = -308 + a. Which is bigger: f or h?
h
Let l be -4 - 554*(-72)/(-44). Let i = l + 907. Is -3 smaller than i?
False
Let v(t) = -4*t + 4. Suppose -8*k + 8 = -0*k. Let s be v(k). Suppose s = 6*d - 3*d. Which is greater: d or 3/10?
3/10
Suppose -36686*q = 5*x - 36690*q - 315, -5 = -x - 5*q. Let y = 1948/3 + -1784/3. Which is smaller: y or x?
y
Let b(c) = -14*c - 126. Let t be b(-9). Let k = 107 - 274. Which is greater: t or k?
t
Let w(p) = 25*p**2 + p + 1. Let v be w(-1). Let n(a) = 11*a + 78. Let z be n(-3). Suppose -50*r - v = -z*r. Do -0.03 and r have the same value?
False
Let o be 20/(-168)*-6 + 289255/(-405055). Which is smaller: -1 or o?
-1
Let t = 30263/65 + -2321/5. Let u = t - 368/247. Is -8/3 bigger than u?
False
Suppose -7*h - 640 = 121*h. Which is smaller: h or -55/14?
h
Let m = 135 + -681/5. Let o = -4093/742 + 6/371. Which is bigger: o or m?
m
Let m = 5204 + -5244. Is -26 less than m?
False
Let v = 57 - 57.051. Let x = 0.06 + v. Let j = x - 1.009. Is 0 bigger than j?
True
Let y be -3*(-66)/(-9)*(-4 + 2). Let p = 59 - y. Let o be (-10)/p - 5/(-3). Is o > 30?
False
Let p = -1.2 - -1. Let u = 309 + -308.527. Let h = u + 1.927. Which is smaller: h or p?
p
Suppose 3*z - 2020 = -4*x, -4*z - 586 = 5*x - 3110. Suppose -18*s = x + 1598. Do s and -117 have the same value?
True
Let y = -901 - -501. Let b = -697 - y. Are b and 1 non-equal?
True
Let u = 3539 - 1564. Which is bigger: 1973 or u?
u
Let w(p) = p**3 - p. Let a be w(0). Let n = -1.0299 - 171.9801. Let z = 173 + n. Is a less than or equal to z?
False
Let r be 1*(-5)/(-10)*94. Suppose -4*u + 29 + r = 0. Suppose -u = 3*c + 35. Is -16 >= c?
True
Let k = 3615 + -3647. Is -49 less than k?
True
Suppose -5*n + 2*n = -6. Let h = 107 - 99. Let q be (0 - 2) + (4 + h)/4. Is q >= n?
False
Suppose 24*t = -574 + 790. Suppose 3 + 57 = 4*o - 4*s, -3*o = 4*s - 10. Suppose -2*q + o + 6 = 0. Which is smaller: q or t?
q
Let z(j) = 0*j + 9*j - 31*j - 47 - j**2. Let u be z(-19). Is 11 at least u?
True
Let b be 1/12*((-389 - 7)/(-18) - 12). Which is smaller: -1597 or b?
-1597
Let m(c) = 2694*c - 16. Let t be m(1). Suppose 0 = -20*v + t + 302. Is v smaller than 150?
True
Let x be (-2)/11 - (-342)/66*1. Let o be -2*(x/(-2) + 2). Which is smaller: -4/41 or o?
-4/41
Let r = -70 - -11. Let s = 87 + r. Let n = 30 - s. Is n < 0.22?
False
Let t = -1035 + 727. Let g = t - 113. Is -421 at most g?
True
Let m(i) = 193*i - 6976. Let p be m(36). Is p greater than 37?
False
Suppose -3*k = 204 + 147. Let j = 81 + k. Suppose 54 - 5 = -2*v + 5*i, v + 2*i = -47. Is j greater than or equal to v?
True
Let z = -16085/4 - -4021. Is z at most as big as -19?
False
Let t be -3 - (1 + 191/(-142))/(831/7202). Which is greater: t or -1.5?
t
Let x be -4 - (-207)/45 - (-27762)/(-70). Which is smaller: -5/4 or x?
x
Let m = -9006/13 - -6925640/9997. Is m not equal to 0?
True
Let g be (36/8)/(9/30). Let n be (g/140)/(45/24). Which is greater: -1 or n?
n
Suppose 4*s + 17 = 1. Let a be (-108)/s*(-1)/((-1)/(-1)). Let p be (-4*a/2)/(-3 + 2). Is p less than -55?
False
Let x be (-279)/(-155)*(-23)/11. Let g = -70/11 - x. Let i = -2.8 + 3. Is i at least g?
True
Let l = 42.781 + -43. Let u = -0.079 - l. Are -1 and u non-equal?
True
Let p be (165/(-132))/((-5)/8). Suppose q - p = o - 0, q - 5*o = 6. Is -5.2 > q?
False
Let y = 133357/6 + -22226. Let z = 2 + -3. Which is bigger: z or y?
y
Suppose k = k + 20*k + 53700. Is k < -2681?
True
Suppose 11*t = -0*t. Suppose -8*f - f - 4*f = t. Which is greater: -4/57 or f?
f
Let h(g) = 2*g**2 + 107*g - 461. Let v be h(4). Let p = 21 - 15.8. Let w = p - 5. Which is smaller: w or v?
v
Suppose -48*n = -51*n + 47*n + 20240. Is n equal to -443?
False
Suppose -y - 4*z = -13, 15 = 5*y - 3*z - 2*z. Suppose y*p - 14 = -19. Let v be ((-4)/32)/((-3)/4). Which is smaller: v or p?
p
Suppose 18355 - 18307 = -48*y. Which is smaller: -13/246 or y?
y
Let o be 2/(-4) - 43/(-2). Let a = 354 + -352. Suppose -8*j = -a*j - 126. Is j greater than o?
False
Suppose 991 - 948 = -43*a. Is -20/869 >= a?
True
Suppose 4*i + 1344 = 2*s, 0 = -3*s + 5*i + 619 + 1402. Let v = 681 - s. Is v equal to 103/8?
False
Let n(v) = -v**3 + 6*v**2 + 15*v - 8. Let x be n(10). Let c = x + 259. Which is smaller: 0 or c?
0
Let o be (-392)/735*11030/40. Are 0.1 and o nonequal?
True
Suppose 4*y - 10*q = -14*q + 156, 0 = -2*y - 4*q + 68. Let u = -26.1 + -5.9. Let w = 31.9 + u. Which is smaller: y or w?
w
Let s = -85 - -98. Suppose 0 = 15*o - 25*o + 160. Which is smaller: o or s?
s
Let j be (-1 - -1)/(-8 - -9). Let k be (j - 3) + (-77)/(-42). Suppose 713*m = 722*m. Is m less than k?
False
Let h be 8/(-12)*(370 - 22). Which is smaller: -224 or h?
h
Let z(m) = 53*m**3 + 15*m**2 - 52*m - 257. Let a be z(-6). Is a at least -10852?
False
Suppose -97*u + 187 = -172*u + 92*u. Is u greater than 8/3?
True
Let v be 5 - 138/(-8) - (-10 - -5 - -8). Is v at least as big as 19?
True
Let v = -167 - -167. Suppose -d - 1 - 1 = 0. Let w be (d - -1)/((-200)/(-24)). Which is smaller: v or w?
w
Let o(h) = 2*h**2 - 10*h + 8. Let f be o(5). Suppose 342 = 5*u - 3*y, 3*u + f*y - 212 = 3*y. Are 68 and u nonequal?
True
Let n be (-18785)/(-11) - 33/(-66)*2/(-1). Which is smaller: n or 1707?
n
Suppose 3*o - o - 9 = b, -b + 21 = 4*o. Suppose o*r + 4*u = -167, -4*r = r - 3*u + 146. Let a = -327 - -298. Is a smaller than r?
False
Let t = 5315017 + -15960995803/3003. Let o = 2/91 - t. Which is smaller: o or 1/13?
o
Let d be 3/2*(-2486)/(-2712). Which is bigger: d or -128?
d
Let u = -469 - -471.2. Let f be -3 + -1 + | {
"pile_set_name": "DM Mathematics"
} |
(c) 0.5
b
Let w = -1183.3 - -1184. What is the closest to 1 in -2, -1, -2/7, w?
w
Let r = 9.2 + -6.3. Let k = -0.1 - r. Suppose 6*d - 9*d - 3 = 0. What is the closest to d in 5, k, -0.1?
-0.1
Let h = 1 - 1.4. Let k = -61 + 59. Which is the closest to k? (a) 0.3 (b) 2/21 (c) h
c
Let j = -5 - -5. Let k(c) = c**2 + 14*c - 3. Let l be k(-11). Let b = 145/4 + l. What is the closest to j in b, -2/9, -0.5?
-2/9
Let h be 2/(-6) + (5382/27 - 5). Let d = h + -1360/7. Which is the closest to -1? (a) -1/14 (b) d (c) -0.5
c
Let g = 1 + -0.9. Let v = -3092 - -3091.8. Which is the closest to 1/2? (a) -2/5 (b) g (c) v
b
Let w = -436 - -436.5. Which is the closest to 0.09? (a) w (b) 2 (c) 0.1
c
Let d be (2/(-40))/(7/((-168)/(-9))). Let g(w) = 2*w - 1. Let i be g(1). Which is the closest to -2? (a) d (b) 4 (c) i
a
Let f = 0.002 + -0.212. Let n = 0.61 + f. What is the nearest to -1/2 in n, -4, -0.1?
-0.1
Suppose 5*s + 5*u - 3 = 7, 2*s + 5*u = 4. Suppose 3*d = -2*q + 17, -3*q = 3*d + s*d - 25. Suppose -5*z = -q*z. What is the nearest to z in -1/4, -1, 0.5?
-1/4
Suppose 5*h = h + 5*h. What is the nearest to 5 in 3, h, 6?
6
Let x be 3 + -6 + (-35)/(-15). Let v = -2.99 - 0.01. What is the nearest to x in -3/2, 1/3, v?
-3/2
Let l = -33.15 + 33. Let r = l - 1.85. What is the closest to -0.1 in 3, r, 0.5?
0.5
Let u = -4 - -7. Let m be (-2)/4 - 0/u. Suppose 0 = 45*t + 8*t. Which is the closest to t? (a) -0.2 (b) m (c) -3/2
a
Let p = 0.6 + -0.3. Suppose 9 = 3*x + u - 34, -4*u = -5*x + 83. Let v be 20/x*(-39)/(-18) - 3. Which is the closest to -0.1? (a) 3 (b) v (c) p
b
Let h = 6 - 4. Let z = -944 - -10380/11. Which is the nearest to -0.1? (a) 3 (b) h (c) z
c
Let y = 163 + -133. Suppose -28 = o - y. Which is the nearest to -0.2? (a) 0.3 (b) 1/3 (c) o
a
Let v = 68 + -72. Which is the closest to -0.2? (a) v (b) -1.8 (c) 1
c
Let p = 6 + -3. Let f be (-11 + -4)/((-3)/2). Let w = f + -31/3. Which is the closest to -0.1? (a) w (b) p (c) -0.3
c
Let k(j) = 61*j - 368. Let z be k(6). Let h = 0 - 1. Which is the closest to -1? (a) z (b) h (c) -3/2
b
Let r = 9 + -4. Let i = r - 6. Let h = -13 + 16. What is the nearest to h in i, -1/2, -1/5?
-1/5
Let p = -314 - -179. Which is the nearest to 0? (a) -0.4 (b) p (c) -1
a
Let f = 17.28 + -17.38. What is the nearest to 2 in -3/7, -2/13, f, -0.4?
f
Let z = -5/26 + -4/13. Let g = 0.38 - -0.02. Which is the nearest to z? (a) 0 (b) g (c) 2
a
Let j = 0.0054 + -5.0054. Let m = -0.5 - -0.3. Let n = -0.1 - m. Which is the closest to n? (a) j (b) 2 (c) 3
b
Let z be (0 + -3)*-2 + 233 + -242. Which is the closest to -2/19? (a) -1/4 (b) 4 (c) z (d) -2
a
Let f be (-8 + 2)*(-2)/(-4). Let u be (f/(-21) - (-64)/(-7)) + -2. Which is the closest to 1/4? (a) 3/7 (b) 0.4 (c) u
b
Let r be (874/(-57) - -18)/((-1)/(-6)). Which is the nearest to 1/2? (a) r (b) -0.03 (c) 1
c
Let a = 13.6 - 13.8. What is the closest to a in 2/15, 55, -1/5?
-1/5
Let i = 92 + -646/7. Let l = -1.8 + 1. Let w = 0.4 + l. Which is the closest to i? (a) 4 (b) w (c) -3/2
b
Suppose -h + 12*h = 3465. Let d = -4097/13 + h. Let f = -0.38 - -0.08. Which is the nearest to 0.1? (a) d (b) -1/4 (c) f
a
Let a = 136/207 + -10/23. What is the nearest to a in 4/7, -1, 1/5, -2/7?
1/5
Let i = -0.03 - 4.97. Let f be (72/273)/2 + (-2)/(-13). What is the closest to f in i, 2, 0.3?
0.3
Let j = 0.5 + -0.3. Let a = -1907 + 1908. What is the closest to a in j, 33, 3?
j
Let x = -1.291 - -1.26. Let w = x - -5.031. Let i = -1/35 - -73/105. What is the nearest to i in w, -1, 1/3?
1/3
Let s be (-12928)/(-18382) + (-4)/(-26). Let m = 3.06 + -0.06. Which is the closest to 2? (a) s (b) m (c) -1/34
b
Suppose -5*u + 2*k - 3 = 0, 0 = 2*u - 5*k + 23 - 5. Which is the closest to -1? (a) -10/11 (b) 0.2 (c) u
a
Let i = -18 - -19. Let n = -139/99 + 13/11. Which is the closest to 2? (a) n (b) i (c) 0.5
b
Let u = 257 - 256. Let v be (4/(-30))/((-4)/20). What is the closest to u in -2, 0, v?
v
Suppose 4*k = -5*r + 38, -6 = -5*r + k + 47. Let d = -7.188 - -6.788. Which is the nearest to -1? (a) r (b) -1 (c) d
b
Let q be -2 + -5 + (-57)/(-9). Let d = 1 - 0.9. What is the closest to q in 0.3, -1, d?
-1
Let h be 1 - 2 - 0/5. Suppose -13 + 49 = -g. Which is the closest to h? (a) 2 (b) g (c) -3/7
c
Let l = 22.16 + -19.16. Which is the nearest to -2/7? (a) -1/4 (b) l (c) -4 (d) -0.13
a
Let c = -4 + 3.6. Suppose -w - 3*w + 24 = 0. Suppose 0 = w*y - 10*y. What is the nearest to -1 in y, 1/4, c?
c
Let x = 6 + 2. Let w = x + -13. Let v = 4 - 4. Which is the closest to v? (a) 0.5 (b) -4 (c) w
a
Let b = 69 + -343/5. Let h = -3.481 - -3.081. What is the closest to b in -3, h, -2?
h
Let k(n) = n**2 + 2*n - 21. Let s be k(-6). Let w = 48 + -50. What is the closest to 0.1 in s, 0.1, w?
0.1
Let l = -11 + 6. Let n = -0.1 - 0. Let z = -1.46 + 1.46. What is the closest to z in n, l, 0.14?
n
Let h = -836.8 - -834. Which is the closest to -2? (a) h (b) -5 (c) 0.2
a
Let g = -2215 + 2235. Which is the nearest to -2/5? (a) -4 (b) -4/7 (c) g (d) 1
b
Let x = 0 + 0. Let z = -68/3 + 23. Let m(o) = -o - 2. Let b be m(-1). What is the nearest to b in x, 0.4, z?
x
Let d = 102 - 815/8. Which is the closest to 0? (a) -1/5 (b) -2/9 (c) d
c
Let a be (4 + 1 + -2)/(48/(-16)). Let v = -408/5 - -82. What is the nearest to a in v, -0.1, -0.5?
-0.5
Let i = 28 - 24. Suppose i*g + g = 0. Which is the closest to g? (a) 1/4 (b) 8 (c) -2
a
Let h(t) be the second derivative of t**4/12 + 2*t**3/3 + 2*t**2 - 2*t. Let c be h(-4). Let s = 0.031 - 4.031. What is the closest to -1/3 in 0.5, c, s?
0.5
Let u = -0.4656 + -0.0344. Which is the closest to 1/11? (a) 2 (b) u (c) -3 (d) 1/4
d
Let q be (48/(-160))/((-4)/10). Let m = 0.16 + 0.84. Which is the closest to m? (a) -0.4 (b) -3/7 (c) q
c
Suppose -15 = -3*g, 220*y - 221*y = -g + 6. Which is the nearest to -8? (a) -8 (b) 2 (c) y (d) 1/2
a
Let a = -6.42 - -8.42. Let g be 1228/930 - 0 - 2. Let q = g + 2/155. What is the nearest to -0.1 in a, 0.5, q?
q
Let z be (9/(-36))/((-9)/12). Let n = -0.04 + -4.96. What is the closest to -3/4 in z, n, 0.4?
z
Let i = -59.8 - -59.6. What is the nearest to -0.1 in i, 0.4, -0.5, -0.3?
i
Let z be 3 + -2 + (-3)/6. Let d be -2 - (2577/(-234))/(-1). Let g = -79/6 - d. Which is the nearest to 1/2? (a) -6/11 (b) z (c) g
b
Let j = -88 + 179/2. Let y = -163 + 162.8. What is the closest to j in y, -2, -1/3?
y
Let k(f) = -2*f + 7. Let n be k(6). Let j = -2.8 + -1.2. Let x(l) = l**3 - 2*l**2 - 3*l. Let z be x(3). Which is the nearest to n? (a) j (b) 0.2 (c) z
a
Let i = 1735 + -1738. What is the nearest to 43 in 1, 0.4, i?
1
Suppose 5*p = -4*o - 71, p + 22 = -o + 4*p. Let y = 135/7 + o. Let u = 48 - 48. What is the closest to y in 4, u, -0.4?
u
Let f = -1.12 + 0.22. Let v = -0.28 + -0.62. Let s = f - v. Which is the nearest to s? (a) -3/4 (b) -0.4 (c) 3
b
Let o = 0.0479 + -1.0479. What is the nearest to o in -7, 1, 2/9, 2?
2/9
Let u = 23.11 + -23. Let y = u + -0.61. Which is the nearest to -0.1? (a) y (b) 5 (c) 1/3
a
Let n = -0.0133 - 0.4867. Which is the nearest to -1/3? (a) -5 (b) -0.1 (c) n (d) 10
c
Let x(q) = 36*q**3 + q + 1. Let f be x(-1). Let p = 37 + f. Let u be p/(-2)*(1 + -1). What is the closest to 1/2 in -3/5, -1, u?
u
Let w = 953/4 - 238. Let u = -9 + 6. Which is the closest to -6? (a) w (b) u (c) -4
c
Let t = -0.04 - 2.96. Let x = 13019/7815 + 2/2605. What is the closest to x in t, -4, 0.1?
0.1
Let q = 1 + -3. Let z be (-4)/70*(212 + -205). Suppose -3*t - 7 = 5*d, -4*d + 4*t + 11 = -9*d. Which is the closest to z? (a) -0.5 (b) d (c) q
a
Suppose -2*x + 24 = 5*g + 4, 15 = 5*g + 3*x. Suppose -16 = -5*d - g. Which is the nearest to d? (a) -2 (b) -1/2 (c) -0.3
c
Let s = -4.59 + 3.3. Let l = 0.29 + s. Which is the nearest to l? (a) -1/4 (b) 0.4 (c) 0
a
Suppose 0 = 23*b + 14*b - 111. What is the closest to 4 in 2, -0.5, 0.01, b?
b
Let a = -385 - -384. What is the closest to 0 in 3, a, -0.2?
-0.2
Let y = -1.3 + 6.3. Let s = -39 + 39.1. What is the closest to -3 in s, -2, y?
-2
Let m(q) = -q**2 + 9*q - 9. Let g be m(8). Let v = -2 + 4. What is the nearest to 2 in -5, v, g?
v
Let c = 59/5 - 35/3. Let y = 32 + -63/2. What is the closest to -2/3 in -14, c, y?
c
Let p = 2/2733 | {
"pile_set_name": "DM Mathematics"
} |
059037*s**3/4 - 1787*s**2. Determine a so that z(a) = 0.
-477
Let i = -61 + 64. Factor 10*y**i - 30*y**3 + 13*y**3 + 2*y**3 + 20*y.
-5*y*(y - 2)*(y + 2)
Let o(w) = w**3 - 33*w**2 + 5*w - 74. Let r be o(33). Suppose 95*b**3 + 188*b**3 + 2187*b - r*b**3 - 1296*b**2 = 0. What is b?
0, 27/8
Let b(l) be the third derivative of -l**7/42 - 5*l**6/24 + 5*l**5/3 + 25*l**4/2 - 120*l**3 + 4324*l**2 - 2*l. Suppose b(y) = 0. Calculate y.
-6, -4, 2, 3
Find g, given that -24 - 2/11*g**2 - 136/11*g = 0.
-66, -2
Let m = -29847 + 89545/3. Find a, given that 2/3*a**4 + m*a**3 - 16/3*a - 8/3*a**2 + 0 = 0.
-2, 0, 2
Let y(a) = a**2 + 6*a + 2. Let s be y(-6). Let v = 42983/57300 - 2/14325. Find o such that 9/4*o**s + 3/2*o - v*o**4 + 0 + 0*o**3 = 0.
-1, 0, 2
Let y = 26/3355 - -2658/3355. Factor 0 - y*r + 4/5*r**2.
4*r*(r - 1)/5
Let q(r) = 5*r**2 + 951*r + 1918. Let y(g) = 32*g**2 + 6656*g + 13424. Let u(a) = 20*q(a) - 3*y(a). Suppose u(p) = 0. Calculate p.
-2, 239
Let l(f) = -4*f**2 - 28*f + 7. Let h be l(-5). Suppose 0 = -28*c + h + 9. Solve 5/4*i + 1/4*i**c + 1 = 0 for i.
-4, -1
Factor 1/10*t**2 + 4/5*t**3 + 0 - 1/5*t + 1/2*t**4.
t*(t + 1)**2*(5*t - 2)/10
Let l(z) = 166*z**2 - 25060*z + 15700078. Let q(v) = -97*v**2 + 15036*v - 9420047. Let j(n) = -7*l(n) - 12*q(n). Solve j(h) = 0.
1253
Suppose -65 = -2*z + 2*d - 43, z - 4*d = 29. Let s(x) be the first derivative of -3/2*x**4 + 9*x**2 + 27/2*x + 3/10*x**z - x**3 + 5. Factor s(y).
3*(y - 3)**2*(y + 1)**2/2
Let j(f) be the first derivative of f**5/20 - 153*f**4/8 + 203*f**3/4 - 38*f**2 - 4692. Factor j(q).
q*(q - 304)*(q - 1)**2/4
Let y(j) be the second derivative of -j**4/6 - 15*j**3 + 826*j**2 - 5944*j. Let y(l) = 0. What is l?
-59, 14
Let x(y) be the second derivative of 5*y**4/12 + 665*y**3/6 + 975*y**2 + 3298*y. Let x(t) = 0. What is t?
-130, -3
Suppose 4 = -b - q, 0 = 12*b - 13*b + 4*q + 11. Let l(z) = -4*z**4 + 17*z**2 - 17*z. Let v(j) = j**5 - j**2 + j. Let r(s) = b*l(s) - v(s). Factor r(c).
-c*(c - 2)**3*(c + 2)
Let 30 - 10*f**3 + 11*f**2 + 580*f - 2*f**2 - 531*f + f**3 + f**4 = 0. What is f?
-1, 5, 6
Suppose 23*s - 27 - 19 = 46. Let d(y) be the second derivative of -4/5*y**5 + 0 + 1/6*y**s + 8/3*y**3 + 0*y**2 - 1/15*y**6 + 13*y. Find g such that d(g) = 0.
-8, -1, 0, 1
Suppose 38*t = 2*x + 37*t - 12, 2*x - 36 = 4*t. What is d in -7/2*d**x - 3/2*d - 1/2*d**4 + 0 - 5/2*d**3 = 0?
-3, -1, 0
Let v = 56581 - 282873/5. What is s in 2/5*s**2 - 34/5 + v*s = 0?
-17, 1
Let o(w) = 36*w**2 + 1837*w + 51. Let m be o(-51). Let 2/7*h**5 + m*h + 0 + 2/7*h**4 - 2/7*h**3 - 2/7*h**2 = 0. What is h?
-1, 0, 1
Let b be 180/(-255)*(-1802)/371. Solve b*v**4 - 8*v**3 + 8/7 + 64/7*v**2 - 4/7*v**5 - 36/7*v = 0.
1, 2
Suppose -2*t - 2*w = 0, -2*t + 7*t + 3*w - 4 = 0. Factor -14*z - 5171*z**t - 40 + 5167*z**2 - 30*z.
-4*(z + 1)*(z + 10)
Let d(v) be the third derivative of -166*v**2 + 0*v + 0 - 4/3*v**4 + 6*v**3 - 1/15*v**5. Factor d(r).
-4*(r - 1)*(r + 9)
Let b(v) be the third derivative of v**8/504 - 557*v**7/315 - 559*v**6/60 - 1679*v**5/90 - 140*v**4/9 - 2122*v**2 + 2*v. Find t such that b(t) = 0.
-1, 0, 560
Let d = 1293299/3832 + 1/3832. Determine h, given that 45*h**3 + 3/2*h**5 + d*h - 45/2*h**4 + 285*h**2 + 243/2 = 0.
-1, 9
Let m(v) be the third derivative of v**5/100 - 4*v**4/5 + 128*v**3/5 - 2*v**2 - 6. Solve m(u) = 0 for u.
16
Let p(j) be the second derivative of -4*j**6/15 + 34*j**5/5 + j**4/2 - 2714*j**3/3 - 2645*j**2 - j + 13. What is i in p(i) = 0?
-5, -1, 23/2
Factor -34/7*h**2 + 72/7 - 2/7*h**3 + 40/7*h.
-2*(h - 2)*(h + 1)*(h + 18)/7
Suppose -21*i = -26*i - 5*h + 520, 2*i = -5*h + 220. Factor -i - 4*s**2 + 28*s + 4*s + 8*s.
-4*(s - 5)**2
Suppose 884 = -3*d - 4*f - 2661, 3*d + 5*f + 3550 = 0. Let i = d + 1178. Suppose 24/7*t - 4/7*t**2 - 6/7*t**i - 16/7 + 2/7*t**4 = 0. What is t?
-2, 1, 2
Let f be -93*(8/32 - (-7)/(-12)). Suppose -542 + 521 - 44*j + 4*j**5 - 29*j + 81*j**3 + 40*j**4 - f*j**2 = 0. Calculate j.
-7, -3, -1/2, 1
Let o(a) = 2*a**2 - 31*a - 15. Let q(y) = -2*y**2 + 32*y + 15. Let i(n) = -4*o(n) - 3*q(n). Let j be i(12). Suppose 12*v + 92 - j - 2*v**2 - 45 = 0. What is v?
2, 4
Suppose -4*a = 20*b - 21*b - 113, 5*b = 15. Suppose 0 = 12*w - 77 + a. What is d in -4/7*d**2 - 8/7*d + 8/7*d**3 + 6/7 - 2/7*d**w = 0?
-1, 1, 3
Let g(v) be the first derivative of 3*v**5/5 - 15*v**4/2 - 97*v**3 + 15*v**2 + 288*v - 113. Determine o, given that g(o) = 0.
-6, -1, 1, 16
Let u(c) = -3*c**2 + 876*c - 17337. Let r(w) = w**2 - 220*w + 4334. Let b(k) = 9*r(k) + 2*u(k). Factor b(v).
3*(v - 38)**2
Let g(s) be the first derivative of s**4/24 + 14*s**3/9 + 25*s**2/12 - 9*s + 1497. Factor g(r).
(r - 1)*(r + 2)*(r + 27)/6
Let a(l) = -8*l**3 - 232*l**2 + 476*l - 240. Let b(v) = 15*v**3 + 463*v**2 - 950*v + 479. Let j(g) = 7*a(g) + 4*b(g). Factor j(w).
4*(w - 1)**2*(w + 59)
Let k = -2065 + 2067. Let x(g) be the second derivative of -2/3*g**3 - 1/12*g**4 + 2*g - k*g**2 + 0. Factor x(q).
-(q + 2)**2
Let x = 1/258697 - -2328268/1293485. What is r in 1/5*r**2 - 2 - x*r = 0?
-1, 10
Let p(y) be the first derivative of -20 + 0*y**2 + 5/33*y**3 + 1/110*y**5 + 1/11*y**4 - 22*y. Let w(n) be the first derivative of p(n). Solve w(d) = 0 for d.
-5, -1, 0
Let c(f) be the first derivative of -f**5/10 + 7*f**4/2 - 143*f**3/3 + 315*f**2 - 2025*f/2 - 309. Let c(h) = 0. Calculate h.
5, 9
Let j = -81 + 72. Let s be (j/(-18))/((-2)/(-8)). Factor -1 - 3 + 518*o - 524*o - 2*o**s.
-2*(o + 1)*(o + 2)
Suppose -39*o**3 + 30*o**2 - 6*o + 7*o**2 - 4*o**2 - 412*o**4 + 212*o**4 + 212*o**4 = 0. Calculate o.
0, 1/4, 1, 2
Suppose -19*k + 16*k = -102. Suppose 2*l - 42 = -4*j + 80, -4*l + k = j. Find c, given that -7*c**2 + 35*c - j*c + 2*c**2 + 10 = 0.
-1, 2
Suppose 3 = -3*h + 3*o, 0 = 2*h + 11*o - 10*o - 7. Let x(v) be the first derivative of -3*v**3 + 0*v + 3/4*v**4 - 6*v**h - 19. Factor x(f).
3*f*(f - 4)*(f + 1)
Let a(s) be the second derivative of -3*s - 289/20*s**5 - 4*s**2 - 70/3*s**3 + 23 - 323/6*s**4. Let a(d) = 0. What is d?
-2, -2/17
Let d(o) be the third derivative of 1/60*o**6 + 1/4*o**4 - 1/105*o**7 + 1/6*o**5 + 0*o + 0*o**3 + 12 - 2*o**2. Factor d(b).
-2*b*(b - 3)*(b + 1)**2
Let z(k) be the second derivative of -2*k**6/15 + 9*k**5/5 + 11*k**4 + 70*k**3/3 + 24*k**2 - 337*k + 1. Solve z(b) = 0.
-1, 12
Factor 1/4*o**3 - 603/4*o - 5*o**2 - 1539/2.
(o - 38)*(o + 9)**2/4
Find j, given that 60*j**4 + 524*j - 145*j**3 - 98*j**2 + 38*j**2 - 384*j + 5*j**5 = 0.
-14, -1, 0, 1, 2
Suppose -774*g + 777*g - 42 = -4*a, 0 = -2*a + 4*g - 34. Factor -36*u - 3/2*u**a + 33/2*u**2 + 0.
-3*u*(u - 8)*(u - 3)/2
Let h(w) = 5*w**2 + 640*w + 637. Let d(r) = -21*r**2 - 2559*r - 2547. Let v(u) = -2*d(u) - 9*h(u). Factor v(b).
-3*(b + 1)*(b + 213)
Suppose -2/15*g**2 + 36 + 2/5*g = 0. Calculate g.
-15, 18
Let x be (7 + (-152)/56)/(-48*60/(-4480)). Factor -50/3 - x*f - 2/3*f**2.
-2*(f + 5)**2/3
Let n(k) be the second derivative of k**7/560 - 9*k**6/160 + 47*k**5/160 - 15*k**4/32 - 38*k**2 - k + 4. Let b(f) be the first derivative of n(f). Factor b(h).
3*h*(h - 15)*(h - 2)*(h - 1)/8
Let j(l) be the second derivative of 3*l**5/100 + 11*l**4/10 - 101*l**3/10 + 117*l**2/5 + 2151*l. Suppose j(f) = 0. What is f?
-26, 1, 3
Let b(v) = -v**3 - 1. Let k(a) = -5*a**3 - 3*a**2 + a - 1. Suppose -15*t + 2 = -17*t. Let o(u) = t*k(u) + 4*b(u). Find q such that o(q) = 0.
-3, -1, 1
What is f in -1880/11*f - 224 + 14*f**3 + 2/11*f**4 - 24/11*f**2 = 0?
-77, -2, 4
Suppose 3*v + v + 4*m = -4, v - 2*m - 11 = 0. Factor 3*l**v + 2*l - 6*l + l**3.
4*l*(l - 1)*(l + 1)
Let r = -1260905 + 1260908. Factor 3/5*v - 1/5 - 3/5*v**2 + 1/5*v**r.
(v - 1)**3/5
Suppose -2*m + 857 + 455 = 0. Let n = m - 4589/7. Suppose -3/7*r + n*r**2 - 6/7 = 0. What is r?
-1, 2
Let -1/2*k**3 + 117*k + 324 + 3/2*k**2 = 0. What is k?
-12, -3, 18
Solve 192/11 - 18/11*l**5 + 512/11*l + 94/11*l**3 + 444/11*l**2 - 48/11*l**4 = 0 for l.
-2, -4/3, -1, 3
Let s(t) be the third derivative of -5*t**8/336 + t**7/14 + t**6/3 - t**5 - 10*t**4/3 + t**2 + 104*t - 5. Solve s(v) = 0.
-2, -1, 0, 2, 4
Let h = -323 - -325. Find x, given that 6 + 4*x**3 + 4*x - 13 + 7 + 54*x**3 + 62*x**h = 0.
-1, -2/29, 0
Suppose 33815 = -16*c + 33847. Let -2/11*m**c + 24/11 - 8/11*m = 0. What is m?
-6, 2
What is h in 3*h**2 - 33/4*h + 3/4*h**3 - 45/2 = 0?
-5, -2, 3
Determine d, giv | {
"pile_set_name": "DM Mathematics"
} |
52*a*u + 18*a - 72*u - 18
What is the derivative of 191350*u**2 - 74036 wrt u?
382700*u
Find the second derivative of 3133*g**2*m**2 - 159*g**2*m*o**2 - 12*g**2*m*o + 8*g**2 + 5*m**2*o**2 wrt m.
6266*g**2 + 10*o**2
Find the third derivative of -5*d**3*o**2 - 558*d**3 + 1643*d**2 + 4*d*o**2 wrt d.
-30*o**2 - 3348
What is the second derivative of -665086*k**2*o**2 + 4*k**2 + 9092*k*o**2 + 3*k*o + 9*o**2 - o wrt k?
-1330172*o**2 + 8
Find the third derivative of -5*b**5 + 4*b**4 + 1858*b**3 + 45*b**2 + 1961*b wrt b.
-300*b**2 + 96*b + 11148
What is the third derivative of -3351*s*t**3 + 8953*s*t**2 - 5*s*t - 2*s - 9*t**3 + t**2 + 1 wrt t?
-20106*s - 54
Find the third derivative of 8*f**6 - 10488*f**5 + 2*f**3 + 12*f**2 + 11669.
960*f**3 - 629280*f**2 + 12
What is the second derivative of 734366*r**2*u**3 - 772*r*u**3 - r*u + 16*u - 1 wrt r?
1468732*u**3
Differentiate 263521*s + 316082 wrt s.
263521
Find the third derivative of -36375*b**3 + b**2 + 5*b - 69.
-218250
What is the second derivative of 144099*j**4 - 981869*j wrt j?
1729188*j**2
What is the derivative of 113*b**4 - 4648*b**2 + 830711?
452*b**3 - 9296*b
Find the second derivative of 1807*t**3 - 41*t**2 + 47902*t - 3.
10842*t - 82
What is the second derivative of -7*j**2*w**2 + 9464*j**2*w*z - 2*j**2 - 1713*w**2*z**2 + w*z**2 wrt w?
-14*j**2 - 3426*z**2
Find the third derivative of 26*g**5 + 613*g**4 + g**2 + 18431.
1560*g**2 + 14712*g
What is the second derivative of -14*u**2*v*z + 14*u**2*v + 2*u**2*z**2 - 4*u**2 + 4*u*v*z**2 - 4*v*z**2 + 108*v*z wrt u?
-28*v*z + 28*v + 4*z**2 - 8
Find the third derivative of -276530*f**4 + 30230*f**2 + 3.
-6636720*f
What is the second derivative of 188221*g**4 + 3*g**2 - 5526925*g wrt g?
2258652*g**2 + 6
Find the third derivative of -17542*h**3 + 44491*h**2 wrt h.
-105252
What is the second derivative of -592*f**2*g*p - f**2*n*p**3 - 10*f**2*p**3 - 5*f*n*p**3 + 1460*f*n*p**2 + 2*g*n*p wrt f?
-1184*g*p - 2*n*p**3 - 20*p**3
Find the first derivative of o**2*v - 722*o**2 + 59*o*v + 1749*v + 6 wrt o.
2*o*v - 1444*o + 59*v
What is the derivative of -8*j*k*w**3 - 40*j*w**3 + 172*j*w**2 - 126*k*w**3 - 2*k*w + 2*k - 90*w wrt j?
-8*k*w**3 - 40*w**3 + 172*w**2
Find the second derivative of 1842347*f**3 + 285563*f - 3.
11054082*f
Differentiate 922343*r + 639706 with respect to r.
922343
Find the second derivative of 14272*n*s**2 + n*s - 7*n + 24*s - 8 wrt s.
28544*n
Find the first derivative of 25*c**2*u + 3*c**2*v - 753*c**2 + 101767*u*v wrt v.
3*c**2 + 101767*u
Find the third derivative of -7777*y**4 + y**3 - 1772*y**2 - 2 wrt y.
-186648*y + 6
Find the third derivative of -127600*t**5 - 141442*t**2.
-7656000*t**2
What is the second derivative of 8*t**5 + 3313*t**3 + 911*t - 19 wrt t?
160*t**3 + 19878*t
What is the second derivative of -5222*u*v**3*z**2 - 10*u*v**3 + u*v*z**2 - u*v*z - 4970*u*z wrt z?
-10444*u*v**3 + 2*u*v
What is the third derivative of 57337*n*r**3 + 145*n*r**2 - 59*n + 1 wrt r?
344022*n
Differentiate -40*f**2*k*t - 28*f*j*k*t**2 - f*t**2 + 3341*j*k*t**2 - 3*j*k + k*t**2 with respect to f.
-80*f*k*t - 28*j*k*t**2 - t**2
What is the third derivative of 214951*t**4 + t**3 + 3*t**2 - 1524*t + 32?
5158824*t + 6
What is the second derivative of 84792*p**4 + p**2 + 2*p - 20374?
1017504*p**2 + 2
What is the third derivative of -14*c**3*o**2*r - 72*c**3*o*r*x + 137*c**3*x - c**2*o**2*r*x - c**2*o**2*r + 29956*c**2*o*r*x - o**2*r wrt c?
-84*o**2*r - 432*o*r*x + 822*x
Differentiate -2*m**2 + 5147*m - 11443 wrt m.
-4*m + 5147
What is the derivative of -3*b*o**2 + 23*b*q + b - o**4*q + 6382*o + 979*q - 2 wrt o?
-6*b*o - 4*o**3*q + 6382
What is the derivative of -1493662*i - 3099906 wrt i?
-1493662
What is the third derivative of 204799*b**3 + 4*b**2 + 10230?
1228794
Find the second derivative of -3*l**5 - 2*l**4 - 60847*l**2 + 91557*l + 1 wrt l.
-60*l**3 - 24*l**2 - 121694
What is the third derivative of -60206*b**6 - 2*b**3 + 65401*b**2?
-7224720*b**3 - 12
Differentiate -f**3*r + 8289*f**2*r**2 + 12798*r**2 wrt f.
-3*f**2*r + 16578*f*r**2
Differentiate -3*n**3 + 20292*n**2 - n - 790049 with respect to n.
-9*n**2 + 40584*n - 1
What is the second derivative of 1645*k**3*v**3 - 52*k**3*v - 3000*k**3 - 635*k*v**4 wrt v?
9870*k**3*v - 7620*k*v**2
Differentiate -14*u**3*x - 422*u**2*x**2 - u*x + 119454*x**2 wrt u.
-42*u**2*x - 844*u*x**2 - x
What is the second derivative of -97449*r**4 + 6*r**2 + 2030421*r wrt r?
-1169388*r**2 + 12
Differentiate 53432*w**3 + w**2 + 17216.
160296*w**2 + 2*w
Find the second derivative of -264930*y**5 - 129234*y.
-5298600*y**3
Differentiate 2*d**3*o - 1060670*d**3 - 222*d**2*o + d*o + 88*o wrt o.
2*d**3 - 222*d**2 + d + 88
Find the third derivative of -315*x**6 + x**4 + 11*x**3 - 2*x**2 - 39732 wrt x.
-37800*x**3 + 24*x + 66
Differentiate 712167*f**3*l*u + 16*f**3*l + 2*f**3 - 36*f*l - 17*f + 2*l wrt u.
712167*f**3*l
Find the second derivative of -38723*d**2*l**2 + 2*d**2*l + 2020*d*l - 4 wrt l.
-77446*d**2
Find the second derivative of 108598*f*z**3 + 3*f*z**2 + 124821*f + z**3 - 3*z wrt z.
651588*f*z + 6*f + 6*z
What is the derivative of 33985*j + 25802 wrt j?
33985
Differentiate -32486*a**2 - 11579.
-64972*a
Find the second derivative of -181179*q*y**2 + 141*q*y + 3964*q + y wrt y.
-362358*q
What is the first derivative of 1135639*q + 811189?
1135639
Find the third derivative of -105327*y**4 + 2*y**3 - 23*y**2 - 129*y.
-2527848*y + 12
What is the first derivative of -3*v**2*x**2 + 167*v**2 - 52585*v*x**2 - 55*v wrt x?
-6*v**2*x - 105170*v*x
What is the second derivative of -2971910*i**2*u**3 - 2*i*u**3 + 8*i*u - 2*u**3 + 15*u**2 + u wrt i?
-5943820*u**3
Differentiate -333893*h**2 - 2*h + 644414.
-667786*h - 2
Find the first derivative of -493621*r*y - 13379*r wrt y.
-493621*r
Find the second derivative of -531*a*v**3 - 4*a*v**2 + 50*a*v - 2*v**3 - 9*v**2 + 739*v + 2 wrt v.
-3186*a*v - 8*a - 12*v - 18
Find the second derivative of -57121*g**2*k + g*k + 12*g + 8897*k - 1 wrt g.
-114242*k
What is the first derivative of 2*i**4*m - 765*i**4 + 14*i*m - 104*m wrt i?
8*i**3*m - 3060*i**3 + 14*m
What is the third derivative of 2111727*a**5 - 5955960*a**2?
126703620*a**2
What is the derivative of -380855*d + 20193 wrt d?
-380855
Find the third derivative of -99*o**5 - 1032*o**4 + 55*o**2 - 588*o wrt o.
-5940*o**2 - 24768*o
What is the third derivative of 47469*g**3 + 2*g**2 + 59*g - 42 wrt g?
284814
Differentiate 187*m**4 + 391*m**2 + 63300 wrt m.
748*m**3 + 782*m
What is the second derivative of 10568*p**3*w**2 - 318*p**3*w - p**3 + 3*p**2 - 20*p*w**2 wrt w?
21136*p**3 - 40*p
What is the third derivative of t**6 + 19*t**5 + 1742*t**3 - 556157*t**2 wrt t?
120*t**3 + 1140*t**2 + 10452
Find the first derivative of -4*m*s**4 - 12*m*s - m - 170*s**4 + 23003 wrt s.
-16*m*s**3 - 12*m - 680*s**3
Differentiate 62235*j*w**2 + 235430*w**2 wrt j.
62235*w**2
Find the second derivative of -543195*w**2 + 28*w - 792.
-1086390
What is the derivative of 8783*x**3 - 43161?
26349*x**2
Differentiate 109905*l - 168615.
109905
Find the third derivative of 23*k*m*p**6 + 4*k*m*p**2 + 787*k*m - 7*k*p**2 + 195*m*p**3 wrt p.
2760*k*m*p**3 + 1170*m
What is the second derivative of 854194*b**3*c**2*u**2 + 257*b**3*c*u**2 - 30*b**3 + 2*b*c*u**2 - 2*b*c - u**2 wrt c?
1708388*b**3*u**2
What is the second derivative of 21*l*u**4 - 4*l*u - 3*l + 16*u**3 + 126*u**2 + 664*u + 4 wrt u?
252*l*u**2 + 96*u + 252
Find the first derivative of 3*r**4 - 7778*r**3 - 1792 wrt r.
12*r**3 - 23334*r**2
What is the first derivative of 10*f**3*w + 2*f**3 - 2*f*w - 18410*f - 7*w**2 + 5 wrt w?
10*f**3 - 2*f - 14*w
Find the second derivative of -2*b**3*o**2 + 211*b**3*o + 27142*b*o**2 + 63*b*o wrt o.
-4*b**3 + 54284*b
Differentiate 20*s**3 - 5*s**2*t**3 + 250*s + t**3 - 10*t**2 + 12105*t wrt s.
60*s**2 - 10*s*t**3 + 250
Differentiate -153*i**2*k**3 + 47*i**2*k*v + 7*k**3*v + 2*k + 5*v**4 wrt v.
47*i**2*k + 7*k**3 + 20*v**3
Find the first derivative of -2708260*o - 656914.
-2708260
What is the second derivative of -2362*m**2*w**2 + 940*m**2*w + 2*m**2 - 8*w**3 + 6*w wrt w?
-4724*m**2 - 48*w
What is the second derivative of -b*p**4 - 89*b*p**3 + 2*b*p**2 + 54*b + 42*p wrt p?
-12*b*p**2 - 534*b*p + 4*b
Find the first derivative of -170*i**2 - 11*i - 139153 wrt i.
-340*i - 11
Find the th | {
"pile_set_name": "DM Mathematics"
} |
*2 - 50699493*a**2
What is the third derivative of 581258644*c**6 + 4*c**2 - 38239454?
69751037280*c**3
Find the third derivative of 12*l**5 - 4055182*l**3 + 1399013*l**2 + 2.
720*l**2 - 24331092
Differentiate 597037*g*h**2 - 15*g*h + 362696433*g + 11*h with respect to h.
1194074*g*h - 15*g + 11
Differentiate 9*b*w*y - 1361474*b*w + 3*w*y + 3*w - 3817*y + 3 with respect to b.
9*w*y - 1361474*w
Find the second derivative of 274241564*p**2 - 1288337173*p.
548483128
What is the third derivative of -13240*o**6 + 210*o**3*w + 3*o**2*w + o**2 + 8*o*w - 8*o - 74*w wrt o?
-1588800*o**3 + 1260*w
Find the third derivative of 147*i**5*p**2 - 14138*i**3*p**2 + 5*i**2*p - i**2 + 15*i*p**2 - 7088 wrt i.
8820*i**2*p**2 - 84828*p**2
What is the derivative of -3356002*l**3 + 2*l**2 + 2*l - 6313443?
-10068006*l**2 + 4*l + 2
Find the second derivative of -4*u**2*z**2 + 28*u**2*z - 2*u**2 + 2*u*z**2 + 2*u*z - 422893*z**2 + 3625*z + 10 wrt z.
-8*u**2 + 4*u - 845786
What is the second derivative of 188169623*b**4 + 15*b + 2270709?
2258035476*b**2
Find the third derivative of -89891324*q**4 - 26*q**2 - 86*q - 2967 wrt q.
-2157391776*q
Find the first derivative of -25611972*a**2*f + 483039461*f wrt a.
-51223944*a*f
Differentiate 5*m**2 - 2296889*m + 39792009 wrt m.
10*m - 2296889
What is the first derivative of 145079166*a + 24344557?
145079166
What is the second derivative of -57398762*c**2 - 8594620*c - 1?
-114797524
What is the second derivative of 6*i**4 - 1265578*i**3 - 86*i - 18170 wrt i?
72*i**2 - 7593468*i
What is the derivative of 14*v*y**2 - 511*v*y + 278*v - 23*y**2 + 311655 wrt v?
14*y**2 - 511*y + 278
What is the second derivative of 152*j**4 - 32*j**3 + 71*j**2 - 19149535*j?
1824*j**2 - 192*j + 142
Find the second derivative of -440341670*b*g**2 + b*g + 3*b - 192*g + 120588 wrt g.
-880683340*b
Differentiate -15044972*x + 10172926 wrt x.
-15044972
What is the derivative of -797*k**3 + 17511*k**2 - k + 56383153 wrt k?
-2391*k**2 + 35022*k - 1
What is the third derivative of -380582156*f**3 + 1044579856*f**2?
-2283492936
Differentiate -12591961*u*y - 1174662*u with respect to y.
-12591961*u
Find the first derivative of -1068130*b**4 + 2*b - 12177950.
-4272520*b**3 + 2
What is the derivative of 4*d**3*g*q - 48716*d**3*g + d**3 - 268*d**2*g*q + 21*d**2*g - d*g - 1187*d*q + 2*g - 35 wrt q?
4*d**3*g - 268*d**2*g - 1187*d
What is the second derivative of -254306973*c**3*p**2 + 2*c**3*p + 18*c**3 - 3*c**2 - 10*c*p + 8120*c + 1 wrt p?
-508613946*c**3
What is the second derivative of 22331563*t**2 - 2006636*t wrt t?
44663126
Differentiate 192334263*g**3 - 46883140 with respect to g.
577002789*g**2
Find the second derivative of -189*i*n**4 - 606*i*n**3 - 2*i*n + 67*i - 4450*n - 1 wrt n.
-2268*i*n**2 - 3636*i*n
Find the second derivative of 49*f*l**3 - 59*f*l**2 - 10*f*l - 2*l**3 + 246*l**2 + 8015322*l wrt l.
294*f*l - 118*f - 12*l + 492
Find the second derivative of -484103*a**3*n**2 + 135*a**3*n - 16*a*n**2 + 9*a*n - 512*n**2 + 66 wrt a.
-2904618*a*n**2 + 810*a*n
Differentiate 63757519*k*v - 13*v - 1598236 wrt k.
63757519*v
What is the third derivative of 9367553*k*v**3 - k*v - 5*k + 108*v**2 + 350 wrt v?
56205318*k
What is the third derivative of 487406736*g**3 - 69300042*g**2 + 2*g - 1 wrt g?
2924440416
Find the third derivative of -2*d**4 - 17486431*d**3 + 212*d**2 + 24839*d wrt d.
-48*d - 104918586
What is the third derivative of 30747*t**6 + 379*t**4 + 9743*t**2 + 964 wrt t?
3689640*t**3 + 9096*t
Find the third derivative of -24324133*s**6 + 1929237*s**2 + 6.
-2918895960*s**3
Find the second derivative of 138738171*n**2 - 47745926*n.
277476342
What is the third derivative of 13486*d*g**4 - 28391*d*g**2 - 2*d*g + 65*d + g**5 + 1706*g**3 - 2*g**2 - 1 wrt g?
323664*d*g + 60*g**2 + 10236
What is the third derivative of 83226614*t**4 + 148661*t**2 + 44*t + 2?
1997438736*t
What is the derivative of 488832809*t - 24810453?
488832809
Find the second derivative of 2252*j**2*w**4 + 19*j**2*w - 20*j**2 - 19339*j*w + 16986*w**5 wrt w.
27024*j**2*w**2 + 339720*w**3
What is the third derivative of 11178*j**4 + 4*j**3 - 1134*j**2 + 6*j - 214?
268272*j + 24
Find the second derivative of 1130792*l**3 - 8702*l + 38 wrt l.
6784752*l
Find the first derivative of 14*k*u**4 + 391*k*u**2 - 27831*k - 34*u wrt u.
56*k*u**3 + 782*k*u - 34
Differentiate u*y**2 + 12886504*u - 107246*y**4 - 3*y**2 with respect to y.
2*u*y - 428984*y**3 - 6*y
Differentiate -v**3 - 2*v**2 - 6804331*v + 72196517 wrt v.
-3*v**2 - 4*v - 6804331
Find the third derivative of -144692*c**2*o**5 - 28*c**2*o**3 + 1339*c**2*o**2 - 1270*o**2 wrt o.
-8681520*c**2*o**2 - 168*c**2
What is the second derivative of -492443745*g**3*h**2 + 4*g**3*h - g**3 - 614*g**2 - 230*g*h + h wrt h?
-984887490*g**3
Find the second derivative of 3*g**4 - 195694*g**3 - 12*g**2 + 59788550*g wrt g.
36*g**2 - 1174164*g - 24
What is the first derivative of -1865140*j - 6655319 wrt j?
-1865140
Differentiate 656008*a**2*j**2 - 328*a*j**3 - 2*j**3 + 22857*j**2 + 294*j + 6 wrt a.
1312016*a*j**2 - 328*j**3
Differentiate -38183*t**4 + 13469*t + 772524213.
-152732*t**3 + 13469
Differentiate -4570*k**2 - 1341*k - 263296614 with respect to k.
-9140*k - 1341
Differentiate -816881*r*y**3 - r*y - 488622287*r + 2*y wrt y.
-2450643*r*y**2 - r + 2
What is the second derivative of 3*m*s**2 - 5*m*s - 307*m + 3101980*s**2 - s - 2 wrt s?
6*m + 6203960
What is the second derivative of -364786397*o**4 + 15634250*o?
-4377436764*o**2
What is the third derivative of 135895*d**3*o**2 + d**3*o + 25*d**3 + 2*d**2 + 3*d*o**2 + 52*d + 171 wrt d?
815370*o**2 + 6*o + 150
Differentiate 6961937*c**3 - 7364408.
20885811*c**2
Find the second derivative of 832669407*l**5*v - 53568*l - v - 238 wrt l.
16653388140*l**3*v
What is the derivative of 280*c**4 + 4*c**3 - 3307*c**2 + 16375759?
1120*c**3 + 12*c**2 - 6614*c
What is the second derivative of 129091497*d**2 + 3340*d + 746 wrt d?
258182994
What is the derivative of -508885542*a**2 - 631306869 wrt a?
-1017771084*a
Find the second derivative of 11429874*k**2*q + 2*k**2 - 491*k*q + 8961*k wrt k.
22859748*q + 4
What is the second derivative of 163*b**5 - 5697*b**3*x**2 - 1384107*b*x**2 + 1 wrt b?
3260*b**3 - 34182*b*x**2
What is the third derivative of -5422735*p**3*u - p**2*u - 3992*p*u - 156*p wrt p?
-32536410*u
What is the first derivative of 11791743*o*x - 3*o - 238089973*x wrt o?
11791743*x - 3
Find the second derivative of 646*l**5 - 288*l**4 + 5*l**3 + 43463*l + 113.
12920*l**3 - 3456*l**2 + 30*l
Find the second derivative of 1958254*w**4 - 2*w**2 - 3774*w - 164.
23499048*w**2 - 4
Find the first derivative of 189644*d**2 - 2*d - 21234767.
379288*d - 2
What is the second derivative of -173608824*q**3 + 96*q - 470732 wrt q?
-1041652944*q
What is the second derivative of 4408754*a*o**2 - 2*a + 46*o - 2612 wrt o?
8817508*a
What is the third derivative of -251*k**6 - 85211*k**4 + 54021739*k**2?
-30120*k**3 - 2045064*k
What is the third derivative of -4*g*q**3 - 3905*g*q**2 - 38982*g*q - 7831280*q**3 wrt q?
-24*g - 46987680
What is the first derivative of 10*k**3 + 9*k**2 + 926*k - 37582780?
30*k**2 + 18*k + 926
Find the third derivative of 267155620*h**5 + 72990188*h**2.
16029337200*h**2
Find the third derivative of -18444622*d**3 + 108366*d**2 - 3*d.
-110667732
Find the second derivative of 324*s**4 + 2*s**3 - 14870*s**2 + 201966429*s.
3888*s**2 + 12*s - 29740
Find the first derivative of 7263539*k**4 - 4305794.
29054156*k**3
What is the derivative of -2*q**4 + 28866489*q + 3854133?
-8*q**3 + 28866489
Find the third derivative of 37882598*n**5*o**3 + 224462*n**2*o**2 + 4*n**2 + 2*n*o**3 - 5*o**3 wrt n.
2272955880*n**2*o**3
Find the third derivative of -9628547*m*z**3 - 156010*m*z**2 + 18*z**2 - 5 wrt z.
-57771282*m
Differentiate -21522938*c**3 - 34166375 with respect to c.
-64568814*c**2
Find the third derivative of -1232329052*c**2*v**3 - 229*c**2*v**2 - c**2*v + 5*c**2 + 497*c*v - 6 wrt v.
-7393974312*c**2
What is the third derivative of 1070219474*g**6 - 4*g**2 - g + 45056275 wrt g?
128426336880*g**3
What is the first derivative of -4591575*b*v + 5*v + 639946 wrt b?
-4591575*v
What is the second derivative of -199170*c**4*v + c**3*v + 394*c**2 + 896*c*v - 9*c - 4*v - 1111 wrt c?
-2390040*c**2*v + 6*c*v + 788
Find the s | {
"pile_set_name": "DM Mathematics"
} |
late the lowest common multiple of 77 and q.
1617
Suppose 6*f = -3*w + 10*f - 380, 4*w + 2*f + 536 = 0. What is the common denominator of -99/28 and (w/(-30))/(21/5)?
84
Let k(c) be the first derivative of 7*c**4/2 - 4*c**3/3 - 4*c**2 - 3*c - 37. Let d be k(-3). What is the common denominator of (-8)/12 + d/(-198) and 97/124?
1364
Let h = 15/121 - 2449/1210. Let u = 3073287761093 + -1203597832453491703/391632. Let o = u + 3/8159. Find the common denominator of o and h.
240
Let t be -13 + 10 + (-1009686)/56. Let x = 40165 - 58202. Let b = t - x. What is the common denominator of 109/10 and b?
140
Let a(d) = -d**3 + 10*d**2 - 6*d - 3. Suppose -9*g = -7*g - 16. Suppose g*z - 10*z = -18. Calculate the lowest common multiple of a(z) and 5.
120
Let x(b) = b**3 + 43*b**2 + 45*b + 131. Let n be x(-42). Calculate the smallest common multiple of 526 and 12/20*n*(-66)/(-9).
5786
Suppose -r + 2 = 0, 13930 = -469*b + 474*b - 5*r. What is the least common multiple of 4 and b?
2788
What is the smallest common multiple of 45/12*(13 + 3) and -5*(-12)/90*150?
300
Let v = 46 + -50. Let l be v/2 + -165 + -1 + 0. Find the common denominator of -69/2 and (-9)/6 + (-623)/l.
24
Let m(k) = -k**3 + 25*k**2 - 143*k - 48. What is the smallest common multiple of 2898/5 - (-6)/15 and m(10)?
6380
Let i be (-28)/21*62*(-3)/4. Suppose 4*l - 242 = -i. Suppose 27 = 9*q - l. What is the smallest common multiple of 6 and q?
24
Let y = -16363 + 8112. Let f = 412433/50 + y. Calculate the common denominator of f and 117/20.
100
Let b = 2504651/64280325 + 1/450300. What is the common denominator of b and 67/5710?
11420
Let i = -524 - 90. Let c = -602 - i. What is the smallest common multiple of 20 and c?
60
Let f = 890486/27 + -32981. Calculate the common denominator of f and (137/(-9))/((-4)/(-3)).
108
Suppose 14888*m + 525 = 14913*m. Calculate the smallest common multiple of 129 and m.
903
Suppose 16 = 9*d - d. Suppose -d*a + 69 = -9. Suppose a = 8*o - 41. What is the lowest common multiple of 8 and o?
40
Let c = 25/44 - 273/374. What is the common denominator of c and (-1438)/(-152) + 4744/(-22534)?
68
Let c = -255745/32 + 7991. Let t be 1284/(-129) - 16/344. What is the common denominator of c and 18/t*(-1475)/118?
32
Find the common denominator of (257/(-36))/1 + 399/21 + -13 and 73/4.
36
Suppose -4*u + 2*u = -8. Find the common denominator of 41/24 and (u - 522/30)/(24/10).
24
Let h = -26 - -59. Suppose -4*u - 118 = 190. Let i = 86 + u. What is the smallest common multiple of i and h?
99
Find the common denominator of (9/((-450)/172))/((-6)/(-10)) and 9/11.
165
Calculate the lowest common multiple of 15 and 3150/(-135)*(-2 - 4).
420
Let q be ((-3 - 0/6) + 4)*-1. Calculate the common denominator of 32 and 1*q/(-2*(-20)/(-296)).
5
Let r(i) = 172*i**2 + 10*i - 14. What is the least common multiple of r(-1) and 37?
148
Let o be (-15780)/2960 + 5 + 0. Let g = 1/444 - o. Find the common denominator of g and -44/21.
21
Let f be 1/2*-6 - (-24)/3. Suppose -64 = -f*x - 44. Let z = 157 - 152. Calculate the least common multiple of z and x.
20
Let w = 201 + -269. Find the common denominator of (51/w)/((45/(-176))/5) and -79/21.
21
Let q(k) = -k**2 - 26*k - 128. Let f be q(-17). What is the common denominator of f/50*56/10 and 2/(-6) + 181/(-96)?
160
Let d(r) = 3*r + 123. Let w be d(-39). What is the least common multiple of (-32)/(-24) - 2 - (-10)/w and 14?
14
Let b = 65/8146 + 94447/1690295. What is the common denominator of b and 79/10?
830
Let k = -54 + 103. Suppose -216 = -4*w + 4*i, 9*w - 10*w = -4*i - 69. What is the least common multiple of k and w?
49
Suppose -6*p - 7*p + 65 = 0. Suppose n + 3*n - p = y, -y = -n - 4. Suppose -2*o - 3*c = -2 - 12, 0 = 3*o + c - y. What is the least common multiple of 23 and o?
23
Let x = 333 + -308. Calculate the common denominator of -75/56 and x/(-575)*37/(-7).
1288
Let u(f) = 3*f**2 - 41*f - 53. Calculate the least common multiple of 2248 and u(15).
15736
Suppose 2*m = -4*m + 360. Let x be (21/m)/(-2*(-2)/16570). Let s = -1446 + x. What is the common denominator of s and -83/12?
24
Suppose 0 = 4559*r - 4562*r + 9096. What is the smallest common multiple of r and 24?
9096
Let h = 2086663/135 + -15457. What is the common denominator of 13/99 and h?
1485
Let g = -1501/1239 + 108/59. Let c be (1 + 0)/(4/(-8)). Calculate the common denominator of g and (1 - 26/3)*c.
21
Let a be (1/(-4))/(-1) - 559/172. Calculate the common denominator of 7/8 and a/6*1*(-287)/(-98).
56
Let u = -20 - -24. Let b = -196 - -216. Suppose 52*m = 47*m + b. What is the least common multiple of m and u?
4
Find the common denominator of -6 + 9 + 10 + (-29084)/2280 and 55/159.
30210
Suppose 19*b = 16*b + 174. Let t = b - 55. What is the common denominator of (t/14)/((-3)/(378/(-8))) and 1/12?
24
Let f = 54869/50160 + -4/627. Find the common denominator of f and -1/14.
560
Let n be (3/4)/(13/52). Find the common denominator of (-1)/n*-9 + 70/(-66) and 55/36.
396
Let u be ((-2 - 2) + 5)/(2/8). Suppose 6 = u*g - g. Suppose -g*n = 3 - 33. Calculate the lowest common multiple of 24 and n.
120
Suppose 146 = -2*m - f, 3*f + 4 = f. What is the common denominator of (17/2)/((-30)/16) and (-3140)/m - (-3)/(-27)?
30
Let s = 11925861234 + -9063651343989/760. Let h = s - -6288/95. Let k = h - 4280. What is the common denominator of k and -49/10?
40
Calculate the common denominator of 133/1404 and (-4)/32 - (12 + (-48102)/3888).
4212
Suppose -5*d - s + 16 = -4*d, -2*d - 3*s + 33 = 0. Let f = d + 2. Suppose c = 7 + f. What is the smallest common multiple of 15 and c?
120
Let u = -9 + -33. Find the common denominator of ((-704)/u)/(-8)*1/(-4) and 139/192.
1344
Let b = 136 - 134. Suppose -3*o + 2*c = 4*c - 34, 4*c + 86 = 5*o. What is the lowest common multiple of o and 7 + (b - 5) + 4?
56
Let n be -1 + (-1 - 2) + 6. Let a(d) = -2*d**3 + 5*d - n*d - 3*d. What is the lowest common multiple of a(-1) and 2?
2
Let l = 488033/88067727 - 52/19017. What is the common denominator of l and 1/88?
37048
Suppose -16*h + 19*h + 2*c + 509 = 0, 0 = -3*c + 6. Let a = h - -225. What is the least common multiple of 21 and a?
378
Let c = -115 - -115. Suppose 3*x = 5*b - 2*x - 75, c = 4*b + 4*x - 60. What is the smallest common multiple of 30 and b?
30
Suppose 112*i + 22 = 123*i. What is the smallest common multiple of (52 - (3 + 1)) + (i - 1) and 28?
196
Let u(f) be the second derivative of -f**3/6 + 31*f**2/2 + 13*f. Let q be u(7). What is the common denominator of 22/9 and 393/(-36) + q/6?
36
Let a = 1224740/51 - 24035. Let v be 4 + -4 + 144/(-51). Let q = a - v. Find the common denominator of -48/7 and q.
21
Let f = 95 + -51. Suppose 3*g + 2*o - f = -2*g, -30 = -5*g + 5*o. Let q = 9596 + -9592. What is the least common multiple of g and q?
8
Let x(l) = -562*l - 2238. What is the smallest common multiple of 186 and x(-4)?
930
Let m = 660409721/1925 - 343070. Find the common denominator of -2/385 and m.
1925
Let v be 30 + -7 + 16/4 + 3. Suppose -5*c + 2 = -m, 7*m = 3*m - 2*c - v. Let j(d) = -d**2 - 7*d - 16. Find the common denominator of 121/6 and j(m).
6
Let c = 62/11 - 755/132. Let x = 105992/7 + -15196. Let o = -12125/224 - x. Find the common denominator of o and c.
96
Suppose 0 = -7*d + 82 - 54. Suppose d*q + 15 = -5*t, 5*t - 4*q + 15 = -3*q. Calculate the common denominator of -37/30 and t + 3 + 2/((-18)/73).
90
Suppose -4*q = 5*x - 27, 0 = -0*q - 2*q - 4. Suppose 0 = -2*i - x + 17. Calculate the lowest common multiple of i and 72.
360
Suppose -3*q - q = -10212. Let l = q + -28033/11. Calculate the common denominator of l and 7/2*(-638)/88 + 13.
88
Let d(h) = -h + 13. Let x(n) = -4*n + 10. Let w be x(0). Let l be d(w). Suppose 0 = 5*t - 57 - l. What is the smallest common multiple of t and 3?
12
Suppose 10*v - 87*v + 7550 = 74*v. What is the smallest common multiple of v and 4/(-14) - (-16)/7?
50
Suppose 5*q + 3*x + 858 = 8*q, -3*q = -4*x - 856. What is the smallest common multiple of 128 and q?
1152
Suppose 3*o - 6 = 0, 4*q - 7*q + 3*o = -18. Suppose 0 = z + 24 - q. Find the common denominator of (-185)/30*z/(-36) and -91/18.
54
Let m be (0 - 122)*2/(-4). Let u = 16 - 11. Suppose 0 = u*y - 3*p - m, 4*y = 3*y + p + 13. Calculate the least common multiple of y and 2.
22
Find the common denominator of (-72 | {
"pile_set_name": "DM Mathematics"
} |
33. Let y(h) = -5*h**3 - 502*h**2 - 3*h + 944. Let z(s) = -3*j(s) + 8*y(s). Find the first derivative of z(l) wrt l.
6*l**2 + 1010*l
Let s(d) = -d**3 - 10*d**2 + 14*d + 24. Let a be s(-11). Let v(b) = -b - 5. Let n be v(a). Find the second derivative of 45*i**n - 10*i - 46*i**4 - 10*i wrt i.
-12*i**2
Let t(f) be the first derivative of 175*f**6/6 - 2*f**3/3 + 576*f**2 - f - 378. What is the second derivative of t(c) wrt c?
3500*c**3 - 4
Find the first derivative of -10514 - 760*r**4 + 392 - 302*r**4 wrt r.
-4248*r**3
Suppose 7*m = 44*m - 296. Let o(y) be the first derivative of m*y**3 + 0*y + 11/2*y**2 - 2. What is the second derivative of o(i) wrt i?
48
Suppose -r - r + 3*a + 16 = 0, -4*a = -2*r + 18. Find the first derivative of 21*q**4 + r*q**4 + 39 - 82 + 112 wrt q.
104*q**3
Suppose -56 = -i - 3*a, i + a - 58 - 4 = 0. Differentiate b**4 - b + i + 2*b - 35 wrt b.
4*b**3 + 1
Find the third derivative of -2*f**4 + 15*f**3 - 199*f**2 + 13*f + 132*f**3 - f**4 - 9*f**4 + 222*f**2 wrt f.
-288*f + 882
Differentiate -942*d - 1121*d + 149 - 42 + 124 + 303*d with respect to d.
-1760
Let a(s) be the first derivative of 51*s**8/56 + 41*s**4/12 - 37*s + 17. Let n(c) be the first derivative of a(c). What is the third derivative of n(g) wrt g?
6120*g**3
Let z be (5 - (-3 + 0)) + 6 + -10. What is the third derivative of n**z + 15*n**5 + 17*n**5 + 119*n**2 - 31*n**5 + 17*n**2 wrt n?
60*n**2 + 24*n
Let n(p) = p**2 + p. Let x(m) = 3042*m**2 + 8*m + 1644. Let o(k) = -10*n(k) + x(k). Find the second derivative of o(f) wrt f.
6064
What is the second derivative of 948*g**2 + 69*g - 45*g**3 + 47*g**3 - 2396*g - 1173*g**2 wrt g?
12*g - 450
Let f(r) = 169*r**3 + 27*r**2 - 3*r - 4. Let t(i) = i + 31 - i**3 - 9 - 10 - 11. Let u(p) = f(p) + 4*t(p). What is the third derivative of u(d) wrt d?
990
Let s(c) = -225*c**3 + 10*c**2 + 4*c - 7. Let r(o) = 670*o**3 - 29*o**2 - 13*o + 24. Let f(v) = -3*r(v) - 10*s(v). Find the third derivative of f(q) wrt q.
1440
Suppose -3*v - 210 = -5*v. Let f be 1/(-7) + v/49. What is the third derivative of -4*h**2 - 14*h**4 - f*h**4 + 0*h**2 wrt h?
-384*h
What is the derivative of -2*z**2 + 11*z**2 - 25479 + 6643*z**3 + 19282 - 9*z**2 wrt z?
19929*z**2
Let j(o) be the third derivative of -o**7/70 + 19*o**5/60 + 5*o**4/24 - 1976*o**3/3 + 8*o**2 - 137. Find the first derivative of j(x) wrt x.
-12*x**3 + 38*x + 5
Let p(q) be the first derivative of 73*q**7/42 + 187*q**4/12 - 114*q + 71. Let s(g) be the first derivative of p(g). What is the third derivative of s(z) wrt z?
4380*z**2
Suppose -11*i + 81 = 16*i. What is the second derivative of 24*l + 13*l + 1731*l**i + 3 - 1634*l**3 wrt l?
582*l
Let d(t) be the first derivative of -t**5 - 1/6*t**6 + 0*t**3 + 0*t**4 - 33*t**2 + 0*t + 55. Find the second derivative of d(x) wrt x.
-20*x**3 - 60*x**2
What is the second derivative of 164*v**3 - 60*v + 265*v**3 + 2 - 545*v**3 - 870*v**3 - 138*v wrt v?
-5916*v
Find the second derivative of -424*l + 2978*l + 7806*l + 271*l + 3754*l**2 + 961*l wrt l.
7508
Suppose 3*w + 34 + 83 = 3*n, 2*w = 4*n - 148. Find the first derivative of 6*g**4 - 532*g**2 - 4*g**4 + 534*g**2 + n - 4 wrt g.
8*g**3 + 4*g
Suppose 0 = 4*t - 5*z - 8 - 28, -4*z = 16. Differentiate 57*d**t - 12*d**3 + 12*d**3 - 3 - 46 wrt d.
228*d**3
What is the first derivative of -354 - 241*b + 95*b + 146*b - 269*b**2 wrt b?
-538*b
Let g(y) = 132*y**3 + 679*y**2 - 4*y - 8. Let m(n) = 3*n**3 + n + 2. Let q(d) = -g(d) - 4*m(d). What is the third derivative of q(a) wrt a?
-864
Let s(d) = -40*d**2 + 142*d**2 + 40*d**2 - 25. Let w(n) = n**2 - 2. Let u(r) = s(r) + 4*w(r). Differentiate u(h) with respect to h.
292*h
What is the second derivative of -3019*j**3 - 2397*j + 204*j + 2836*j**5 + 3019*j**3 wrt j?
56720*j**3
Let b(g) be the first derivative of 5/3*g**3 - 242*g + 0*g**2 + 3/4*g**4 - 176. What is the first derivative of b(s) wrt s?
9*s**2 + 10*s
Let d(s) be the third derivative of 7*s**6/40 + 3080*s**3/3 + 2*s**2 - 1431*s. Differentiate d(f) with respect to f.
63*f**2
Find the third derivative of -32*l**4 - 48*l**4 - 85*l**4 + 91*l**4 + 614*l**2 wrt l.
-1776*l
What is the second derivative of 17003*l + 246*l**4 + 82*l**4 - 21602*l + 80*l**4 - 4*l**3 wrt l?
4896*l**2 - 24*l
Let o be 7 + 1 - (3 - (-15)/(-3)). Let j be 6*o/(-15) + 6. Differentiate 14 - 7*f + j - 30 - 3 with respect to f.
-7
Let l = 835 + -691. Find the third derivative of 36*p**4 - 60*p**6 + 35*p**4 + l*p**2 + 39*p**4 - 140*p**4 + 32*p**4 wrt p.
-7200*p**3 + 48*p
What is the third derivative of 23*j**2 + 63*j**2 - 479*j**2 + 580*j**4 - 172*j**2 wrt j?
13920*j
Let i = -52 + 58. Let n(q) be the first derivative of 9*q**3 - 25 + 1 - i*q**4 - 7. What is the third derivative of n(r) wrt r?
-144
Suppose 14*d + 6*d = 7*d. Let u(l) be the first derivative of 0*l**2 - 10 + 0*l - 14/3*l**3 + d*l**4 - 13/5*l**5. Find the third derivative of u(n) wrt n.
-312*n
Let b(o) be the first derivative of 88*o**5/5 + 3*o**4/4 - o**3 + 196*o**2 + 1675. What is the third derivative of b(d) wrt d?
2112*d + 18
Let t(h) = -19*h**4 - 5*h**3 - 117*h - 7967. Let z(u) = -10*u**4 - 3*u**3 - 59*u - 3985. Let a(n) = -3*t(n) + 5*z(n). Find the first derivative of a(c) wrt c.
28*c**3 + 56
Find the third derivative of -1935*w**2 + 4348*w**2 - 1960*w**2 - 18*w**3 - 2*w**4 wrt w.
-48*w - 108
Let t = 483 - 442. Differentiate -208*u**2 + 209*u**2 - 3*u - 6*u + t wrt u.
2*u - 9
What is the third derivative of -13*t**3 + 789*t**3 - 15 + 8 + 7 + 1821*t**2 wrt t?
4656
Let a(b) be the first derivative of 60 + 30*b + 1/3*b**3 + 3/2*b**2. Differentiate a(r) wrt r.
2*r + 3
Let t(y) = -y**2 + 7*y + 3. Let l be t(7). What is the second derivative of -184*c - 569*c**l + 588*c**3 + 3*c**5 + 2*c**5 wrt c?
100*c**3 + 114*c
Let i(y) be the second derivative of -236*y**6/5 + 100*y**4/3 - y - 25. What is the third derivative of i(s) wrt s?
-33984*s
Let n(k) be the first derivative of 5454*k**5/5 + 7*k**3/3 - k**2/2 + 3*k - 603. Find the third derivative of n(g) wrt g.
130896*g
What is the second derivative of -140*b**2 - 3117*b**2 + 6415625*b - 6414517*b + 1 wrt b?
-6514
Suppose 15 = -3*v + 198. Let p = 63 - v. Find the third derivative of -3*j**2 + 4*j**6 + j**6 - 4*j**p wrt j.
600*j**3
Find the third derivative of -943*h**4 - 3*h**3 - 962*h**2 + 6263*h - 6265*h + 0*h**3 - 1 wrt h.
-22632*h - 18
Suppose 0 = -7*p - 3 + 10. Let x be (-10 + 5 - -5)*p/2. What is the third derivative of -7*g**2 - 20*g**5 - 2*g**5 - 12*g**5 + x*g**5 wrt g?
-2040*g**2
Let u(y) = -1902*y - 333. Let l(x) = 1889*x + 335. Let z(q) = -6*l(q) - 5*u(q). Differentiate z(m) with respect to m.
-1824
Let m(c) be the third derivative of -8093*c**4/24 - 6589*c**3/6 + 12*c**2 + 177*c. Differentiate m(q) with respect to q.
-8093
Find the second derivative of 30 - 323*j**5 - 159 - 762*j**5 - 4 - 4*j wrt j.
-21700*j**3
Let p(j) = -37*j**2 + 3*j + 47. Let d(g) = -72*g**2 + 7*g + 93. Let n be (-138)/322 - 52/(-7). Let s(f) = n*p(f) - 3*d(f). Differentiate s(k) with respect to k.
-86*k
Let n(o) be the second derivative of 7*o**5/20 - 35*o**4/8 - 31*o**3/6 + o + 4. Let d(g) be the second derivative of n(g). What is the derivative of d(s) wrt s?
42
Let f(a) be the third derivative of 49*a**5/4 - 85*a**4/4 + 2260*a**2. Find the second derivative of f(o) wrt o.
1470
Let u(a) = 2*a**3 - 11*a**2 + 5*a - 64. Let d be u(6). What is the second derivative of 12157*i**2 - 270*i**3 - 20*i - 12157*i**d wrt i?
-1620*i
Differentiate -962*d - 1703*d + 2255 - 10 - 1450 + 2641 with respect to d.
-2665
Let v(b) be the third derivative of -217*b**4/24 - 12*b**3 - 1122*b**2. What is the derivative of v(x) wrt x?
-217
Let o(p) be the first derivative of 49*p**5/30 + 8*p**3/3 - 106*p**2 + 42. Let a(k) be the second derivative of o(k). Find the first derivative of a(v) wrt v.
196*v
Find the first derivative of 28*s - 38*s**2 + 1517 - 2*s**3 + 18*s**2 + 20*s**2 wrt s.
-6*s**2 + 28
Let q(d) be the second derivative of 0*d**6 + 1/4*d**4 - 13/2*d**3 - 32*d + 0*d**2 + 0 - 23/21*d**7 + 0*d**5. What is the third derivative of q(x) wrt x?
-2760*x**2
Let u = -656 - -658. What is the first derivative of 274 - 50*s**u + 6 - 71*s**2 wrt s?
-242*s
Let f = 358 + -353. Find the second derivative of 20*b - 38*b**f + 6*b - 36*b**5 + 49*b**5 wrt b.
-500*b**3
Let w be (12/(-7 | {
"pile_set_name": "DM Mathematics"
} |
nded to the nearest 1000?
11000
Suppose 2*y + 605340 + 1610370 = 0. Let g = y + 2407859. Let b be (g - 3) + 2 + -3. Round b to the nearest 100000.
1300000
Let q = -2975.807 - -2992.8. Let g = 17 - q. Round g to three dps.
0.007
Suppose -2*k = -1 + 25. Let s be (3200/6)/(k/1350). What is s rounded to the nearest ten thousand?
-60000
Let t = -40.0007024 + 0.0088024. Let k = -31.5 - 8.5. Let j = t - k. What is j rounded to 3 decimal places?
0.008
Let l = -9539 - -9570.927. Let h = l - 32. Round h to 2 dps.
-0.07
Let d = 0.6 + -0.1. Let c = -1.5 + d. Let h = c + 1.002. Round h to three dps.
0.002
Let u = 18 + -11. Let l = 0.5 - u. Round l to 0 dps.
-7
Let z(i) = 608*i**3 - i**2 + i - 2. Let f be z(2). What is f rounded to the nearest 1000?
5000
Let g = 112 + -112.0000036. Round g to six decimal places.
-0.000004
Suppose 10 + 6 = -4*v. Let s = -1 - v. Let l be (-330)/(3/(-6000)*s). What is l rounded to the nearest one hundred thousand?
200000
Let v = 0.0319936 - 0.032. Round v to 5 decimal places.
-0.00001
Let x = -1 + 0. Let j be x + (-2)/(0 + -2). Suppose j*r - 2*r = -780. What is r rounded to the nearest 100?
400
Let u = -38 + 38.174. What is u rounded to 2 dps?
0.17
Let b = 0.8 + -0.79999928. What is b rounded to 7 decimal places?
0.0000007
Let a be 110/10 - 6/2. Let o be a/(-12) - 120002/(-3). What is o rounded to the nearest ten thousand?
40000
Let h = 43 - 42.46. What is h rounded to one decimal place?
0.5
Let j(y) = y**3 - 5*y**2 + 2. Let m be j(5). Suppose m*n + 5 = -89. Round n to the nearest ten.
-50
Let j = -10.12 - -0.12. Let s = j + 10.00288. What is s rounded to 4 dps?
0.0029
Let s = -0.1627 + 0.202. What is s rounded to three decimal places?
0.039
Let t = -0.2 + 3.2. Let d = -2.997 + t. What is d rounded to three dps?
0.003
Let w = 2 - 1.99999995. Round w to 7 dps.
0.0000001
Let x(c) = -199 - 522 - 835 - 344 - c. Let h be x(0). Round h to the nearest 1000.
-2000
Let t = -7917.45530088 + 7914.8553. Let k = t + 2.6. Round k to seven dps.
-0.0000009
Let f = 4.6 - 5.57. Round f to one decimal place.
-1
Let t(g) = -509*g**3 - 9*g**2 + 4*g. Let q be t(-8). What is q rounded to the nearest 100000?
300000
Let w = -0.115 - -0.12. Round w to 2 decimal places.
0.01
Let i be 706/((-2)/(-136)*2). Suppose 3 = l + 4, 2*y + 4*l + i = 0. Round y to the nearest ten thousand.
-10000
Let y = -6034.12836 - 1.80164. Let j = -5948 - y. Let i = -87 + j. Round i to 1 dp.
0.9
Let n = -3.8 - 3.7. Let r = n + 7.5000098. What is r rounded to six dps?
0.00001
Let t = -855 + 585. Let z = t - -270.0121. Round z to three decimal places.
0.012
Let n = -4428 + 4419.9904. Let k = -8 - n. Round k to 3 dps.
0.01
Let v = 0.10953 + -0.01904. Let w = 20 + -19.91. Let h = w - v. What is h rounded to four dps?
-0.0005
Let u = 0.092 - 0.882. What is u rounded to 1 dp?
-0.8
Let p = -0.094 - -0.025. Let o = 0.0689917 + p. Round o to six decimal places.
-0.000008
Let a = 77 - 105. What is a rounded to the nearest 10?
-30
Let c be (-1*2)/((-1)/758). Suppose 5*i + c + 84 = 0. Round i to the nearest 100.
-300
Let w = 20.88 + 11.44. Let c = -33.026 - -0.026. Let n = c + w. Round n to one decimal place.
-0.7
Let l = 17 + -6. Round l to zero decimal places.
11
Let l = -529 + 526.11. Let s = -3.07 + 0.07. Let y = l - s. Round y to one decimal place.
0.1
Let x be -6*((-2)/10 - (-65991)/(-45)). Round x to the nearest 1000.
9000
Let b = -39.799 + 40. Round b to 2 decimal places.
0.2
Let y = 348.6 + -387. Round y to zero decimal places.
-38
Suppose -2*v - 297000 = v. Round v to the nearest ten thousand.
-100000
Let g = 24.74 + 0.26. Let b = g - 22.72. What is b rounded to one dp?
2.3
Let x = 0.37 - 17.37. Let q = 16.999975 + x. What is q rounded to five dps?
-0.00003
Let o = 2957002 - 11057002. Round o to the nearest 1000000.
-8000000
Suppose v - 19036 = 59672. Suppose v = -n - 301292. Round n to the nearest 100000.
-400000
Let u = -1423511111.9999927 - -1423511203. Let h = 91 - u. What is h rounded to six decimal places?
-0.000007
Let t = 1.8 + 12.2. Let a = t - 14.00003. What is a rounded to five decimal places?
-0.00003
Let f = 208 - 197.1. Let d = 59.1 + f. Let y = d - 69.99953. Round y to 4 decimal places.
0.0005
Let k = 16 - 15.955. Round k to two decimal places.
0.05
Let w(z) = 5*z**3 + 5*z**2 + 2*z - 1. Let b be w(-3). Let m = b + 257. What is m rounded to the nearest 100?
200
Suppose 3*u - 3 = -0. Let n be -1 + (u - -239997) + 3. What is n rounded to the nearest 100000?
200000
Suppose -105 = -31*l + 26*l. Round l to the nearest ten.
20
Let f = -12.7 + -1.3. Let p = -12.247 - 0.153. Let n = f - p. What is n rounded to zero decimal places?
-2
Let w = 8.86946 + -5.86995. Let c = w + -3. Round c to 4 decimal places.
-0.0005
Let p = -438.93 - -441. Round p to 1 decimal place.
2.1
Suppose 2*p - p = -6667. Let z = p + 3167. What is z rounded to the nearest 1000?
-4000
Let z be (2/(-5))/(1/(-110)). Let q be (-128)/(-22) - (-8)/z. Let c be (-4)/(-6) + 40796/q. Round c to the nearest one thousand.
7000
Suppose 0*a = 4*a + 3526304. Let j = a - -251572. Let c be (-8)/(-12) + j/6. Round c to the nearest ten thousand.
-110000
Let i = 246274665.000113 + -246274402. Let f = -263 + i. What is f rounded to 5 decimal places?
0.00011
Suppose -3*f - 90 = 2*f. Let i be ((-6)/f)/((-1)/3). Round i to 1 dp.
-1
Let q = 0.7737 + -0.742. What is q rounded to three dps?
0.032
Let b = 83.6 + -83.600000701. Round b to 7 decimal places.
-0.0000007
Let s = 96.41 - 115.3932. Let g = -22 + 3. Let k = s - g. Round k to three decimal places.
0.017
Let c = -0.0459892 + 0.046. Round c to 6 dps.
0.000011
Let h(s) = 28288*s - 16. Let z be h(7). What is z rounded to the nearest 100000?
200000
Let d = -0.025 - -0.265. What is d rounded to 1 dp?
0.2
Let i = -175.97 - -178. Let x = i - 0.03. Let u = -1.99995 + x. Round u to 4 dps.
0.0001
Let s = 0.4 + 2.2. Let x = s - -43.4. Let w = 45.99977 - x. What is w rounded to 4 dps?
-0.0002
Let l(f) = -f**3 + f**2. Let h be l(1). Suppose -3*q - 13 = -u, 2*u - 2*q = -h*u + 6. Let r be (-6)/u - 10299997*-1. Round r to the nearest 1000000.
10000000
Let g = 171 + -170.99838. Round g to four decimal places.
0.0016
Suppose -i + 5 = 3. Let x(s) = 318*s**2 - s - 2. Let j be x(i). Let g = 132 + j. What is g rounded to the nearest 1000?
1000
Let u = -23 - -23.00026. Round u to 4 dps.
0.0003
Let x(q) = q**3 + q. Let p be x(1). Let i be p/((-4)/(-6)) + 1. Suppose -16655126 = -i*o - 4255126. Round o to the nearest 1000000.
3000000
Let i = -3300 + 1930. What is i rounded to the nearest 100?
-1400
Let w = 0 - 1.6. Let s = 10 - 9.2. Let h = w - s. What is h rounded to zero decimal places?
-2
Let b = 43.42 + -43. Let d = -0.4200029 + b. Round d to 6 dps.
-0.000003
Let k = 11 + -12.4. Let x = k - -1.415. Round x to two decimal places.
0.02
Let d(p) = 624982*p + 13810*p - 10 + 275494*p + 8. Let g be d(7). Round g to the nearest 1000000.
6000000
Suppose 5*m = -0*m. Suppose -16 = -3*l + 2*k, m*k + k = -2. Suppose -2*j = -5*y - 2999992, -1087118 - 1312878 = l*y - j. Round y to the nearest one million.
-1000000
Let o = 2.091 - 1.88. What is o rounded to two dps?
0.21
Let g(p) = -95*p**2 + 3*p - 7. Let k be g(2). Round k to the nearest 100.
-400
Suppose 0 = -c + 2*c. Suppose z = l - 5803 + 20439, 3*z = c. Let v = l - -8436. What is v rounded to the nearest 1000?
-6000
Let u = 3125 - 3125.3087. Let z = u + 0.31. What is z rounded to 3 dps?
0.001
Let m(t) = 18*t - 4. Let z be 34/4 - (-24)/16. Let l = 23 - z. Let h be m(l). What is h rounded to the nearest 100?
200
Let f = -281.1 + 266. Let k = f - -17. Round k to zero decimal places.
2
Let m(j) be the first derivative of 595/4*j**4 - 3 - 4*j - 2*j**3 + 5/2*j**2. Let b be m(4). What is b rounded to the nearest ten thousand?
40000
Let t = -62 + -149. Let b = 43584539.00089 - 43584328. Let d = t + b. What is d rounded to 4 decimal places?
0.0009
Let a = 954035.98999977 - 954036. Let k = 0.19 - 0.2. Let r = k - a. Round r to 7 decimal places.
0.0000002
Let y = 0.111 + 0.734. Round y to 1 decimal place.
0.8
Suppose n = -1 + 5. Suppose 0*c + n = c, -46000012 = 5*h - 3*c. What is h rounded to the nearest 1000000?
-9000000
Let f = -6721350 + 6714547.054. Let n = 6783 + f. Let j = n + 20. What is j rounded to two decimal places?
0.05
Suppose 0 = 4*y - 0 - 20. Let | {
"pile_set_name": "DM Mathematics"
} |
8 = a. Suppose -4*r = -2*o + 6*o, 3*o = -r + f. Solve -3*w + o*w = 3 for w.
-3
Suppose -5*f = -3*f + 3*z - 45, 5*z - 105 = -5*f. Suppose 9*m = f*m. Solve -u + 2*u - 3 = m for u.
3
Suppose -5*o - 4*t - 8 - 12 = 0, -2*t - 10 = -5*o. Solve 9*u - 21 + 75 = o for u.
-6
Let c(m) = -92*m**3 - 280*m - 560. Let k be c(-2). Solve 4*n = -k + 708 for n.
-7
Suppose 2*j = 73 - 65. Suppose -3*n = -j*n - 4*b, 2*n - 3*b - 22 = 0. Solve -7*a + n = -3*a for a.
2
Suppose 36*o + 159 - 1776 = 3*o. Solve -157 = -18*v - o for v.
6
Let t = -417 - -421. Let c be ((-2)/t)/((-251)/(-42) - 6). Solve 3*r - 15 + c = 0 for r.
-2
Let b(a) = -9*a - 741. Let i be b(-84). Solve -i = 38*w - 281 for w.
7
Let x = -7415 + 7472. Solve 155*l - 174*l = -x for l.
3
Suppose 2*t - 12 = -8. Let x be 0 + 196/22 - 40/(-440). Solve -x = -t*k - 5 for k.
2
Suppose 0*s = 2*s - 8. Let f be ((-6)/s)/((-1)/2). Solve 2*c + 10 = -f*c for c.
-2
Suppose 0 = -p + 2*u + 148 + 229, 3*u - 1846 = -5*p. Let f = 373 - p. Solve 4*b = 3*b - f for b.
-2
Let f(a) = 2*a**2 - 15*a - 22. Let p be f(9). Let o be -5 + (22/p - (-102)/170). Solve o = 15*z - 6*z + 27 for z.
-3
Suppose -3*g + w = -4*w - 41, -4*g - w + 47 = 0. Suppose 0 = -3*z - g, -p - 3*z - 3 = 6. Solve 18 - 3 = -p*h for h.
-5
Let u = 3713 - 3679. Solve -139*k - u = -122*k for k.
-2
Let w(h) = -18*h + 21. Let d = 282 - 281. Let o be w(d). Solve 3*a = -6 + o for a.
-1
Suppose -2*z = -j - 492, 0 = -4*z - 2*j + 382 + 594. Solve -2*a = 33*a + z for a.
-7
Suppose -j - 11 = -15. Let k(s) = 8*s - j*s**3 + s**3 + 2 + 10*s**2 - 3*s**2 + 2*s**3. Let d be k(8). Solve d*g = 7 + 3 for g.
5
Let y = 80 + -85. Let h be 4 - ((-20)/y)/(-4). Solve h*p - 3*p = 0 for p.
0
Let w = -48 - -51. Suppose -23 = -5*g - w*b, 0 = -5*g + 2*g - 5*b + 17. Suppose 0 = -3*v + g + 11. Solve -12*c + 11*c = v for c.
-5
Suppose -439*k + 444*k = -4*y + 37, -3*y + 4 = -k. Solve k*v + 9 = -1 for v.
-2
Let c be 1050/(-45) + -3*4/18. Let q be (-1 + (-28)/8)/(c/32). Solve 7 = q*j - 11 for j.
3
Suppose 3*c = -15, -5*z + 6*c = 8*c - 910. Solve -190*x + z*x = 30 for x.
-5
Let z be 48 + 1 - ((-12)/(-11))/((-2)/(-11)). Solve 7*y - z = -22 for y.
3
Let i = 145 - 187. Let a = -30 - i. Solve 7*m - a*m = 0 for m.
0
Suppose -3*i = -4*c - 14, -2*i - 11 = -3*i - 5*c. Suppose -2*t + 11 = i*w - 7*w, -3*t = 4*w. Let g be -2 + 22/t - 11/(-22). Solve -j - g = j for j.
-2
Let s = 615 + -592. Suppose 18*m - 49 = s. Solve -m*d - 14 = -18 for d.
1
Let i(k) = k**3 + 2*k**2 + 6. Let t(h) = -h**3 - 2*h**2 - 5. Let p(d) = 5*i(d) + 6*t(d). Suppose -9*y + 19 = 37. Let n be p(y). Solve -2*u = -n + 4 for u.
-2
Suppose -769*v = -768*v - 14. Suppose 0 = -v*u - 15*u + 232. Solve u*i = 3*i for i.
0
Let r(x) = x - 3. Let f(g) = -g - 4. Let z(k) = f(k) - 2*r(k). Let q be z(-1). Solve 0 = q*m - 10 + 5 for m.
1
Suppose -254*h = -250*h + 252. Let x be (-4)/(12/h)*9/27. Solve x*k + 7 = -0 for k.
-1
Let h(f) be the first derivative of 5*f**2/2 - 44*f + 59. Let c be h(9). Suppose 0*z + z = 3. Solve -c = z*g - 13 for g.
4
Let r = -8713 + 8744. Solve -r*m = -48 - 76 for m.
4
Suppose 5*k - 359 = -4*b, -5*b + 193*k - 196*k + 426 = 0. Solve 280 = 41*a - b*a for a.
-7
Let f be (56/10)/(34/85). Suppose -6 = -3*p, -4*y + 2*p = p - f. Let r(t) = -2*t - 19. Let o be r(-11). Solve -11 - y = -o*z for z.
5
Suppose -186 = 306*s - 309*s. Let a = -60 + s. Solve a = 5*l + 12 for l.
-2
Let z(a) = 13*a**3 - 19*a**2 - 3*a + 12. Let p be z(4). Let l = p - 524. Let v(w) = -w**2 - 7*w - 2. Let g be v(-6). Solve l*q - 16 = g for q.
5
Let l = -12 + 13. Let s be ((-2)/(-6) + l)*36/8. Suppose s = 2*t + 6. Solve -z + 3*z = t for z.
0
Suppose 0 = -45*r - 43*r + 11*r + 27720. Solve r*g - 353*g - 28 = 0 for g.
4
Let v be 132/(-99)*(-87)/4. Suppose -v*q + 227 + 324 = 0. Solve 2*o = q - 13 for o.
3
Suppose 85 = 18*l - 23. Suppose 4*v = -3*r + 17, -2*r - 2 + l = -v. Solve c = -r + 1 for c.
-2
Suppose 15958 = 131*w + 71*w. Solve 7*u = -w*u + 172 for u.
2
Suppose -2*h = -c + 2*h - 21, -3*c - 28 = -5*h. Let q be 238/221 - c/(-13). Let r be ((-72)/20)/((-2)/5). Solve r + q = 5*x for x.
2
Suppose -14*c = -25 - 31. Suppose 3*w + c*b = -b + 43, 2*w + 3*b = 29. Solve -w = 2*u - 8 for u.
-4
Let v = 438 - 422. Suppose 700 = v*i + 60. Solve 17*y + i = 7*y for y.
-4
Let b(k) = -7*k**3 - 17*k + 3*k**2 + 1 + 54 + 6*k**3. Let h be b(3). Solve -h = -g - 0*g for g.
4
Let x be (55/(-33))/(1 + (-11)/6). Suppose 4*m + m = -5*h + 20, -x*h = 0. Solve -4*u - m = -0 for u.
-1
Let z = -20181 - -20307. Solve 0 = -176*q + 155*q - z for q.
-6
Let i be (-1)/(4/((-708)/(-3))). Let d = i + -11. Let c = 72 + d. Solve -c = -x - 0 for x.
2
Let p = 9355 - 9317. Solve -16*g = p - 150 for g.
7
Let y(p) = -p**2 + 2*p + 77. Let w be y(9). Suppose -2*n = -w + 8. Solve -n*q = -7*q - 4 for q.
-1
Suppose -2*i - 8 = 0, -5*j = 3*i + 4 + 8. Suppose 4*a + j*a = -4*c + 4, 3*a + 1 = -4*c. Suppose -2*z = -2*k - 16, -k + a*k = 16. Solve 3*w + z = 7*w for w.
3
Suppose 5*r - 4*a + 27 = 10, -3*a - 6 = 0. Let n be (-2 - r) + (-21 - -27). Solve -16*s - n = -13*s for s.
-3
Let c(s) = 31*s - 4. Let y(f) = -32*f + 5. Let h(p) = 3*c(p) + 2*y(p). Let g be h(-1). Let o = g - -32. Solve -o = -5*n + 4 for n.
1
Let j(t) = t**2 - t - 1. Let f be j(-9). Let w = f - 87. Let z be ((w/(-3))/(-2))/((-4)/(-24)). Solve -z*q - 2*q = 4 for q.
-1
Let l = -162 - -82. Let p = 85 + l. Suppose -m = 2*a - 8, -2*a + 4*a = p*m - 4. Solve 0 = -m*g - 3*g + 5 for g.
1
Let u = -279 + 256. Let x(d) = -6*d - 133. Let a be x(u). Solve 3*r - a*r = -10 for r.
5
Let d = 11418 - 11412. Solve -d*o - 370 = -358 for o.
-2
Suppose -94*j = -6786 + 2556. Solve -j = 4*i - 49*i for i.
1
Let s be (-1 + 34)*2/2. Let w = -792 + 764. Let a = s + w. Solve 0 = a*l + 12 + 8 for l.
-4
Suppose -15*v + 87 = -138. Let a(h) = h**3 - 17*h**2 + 32*h - 20. Let t be a(v). Solve 5*j - 15 = t for j.
5
Let x(i) = 24*i + 11. Let m(j) = 24*j + 11. Let y(n) = 4*m(n) - 3*x(n). Let w be y(0). Solve -w = 4*t + 7*t for t.
-1
Suppose -3*q = -i - i, 4*q + 7 = 5*i. Let o be (q + -1 + -2)*(12 - 14). Solve -10 = o*g - 4*g for g.
5
Let y = -18549 + 18585. Solve 228*d - 222*d = -y for d.
-6
Let c = -14731 - -14773. Solve -8*j - 102 = -c*j for j.
3
Suppose 2*m = -0*m - 3*f + 13, 0 = -2*m + 2*f - 2. Suppose 1 + m = x. Suppose 3*c = -5*l - 6, 2*l - 10 = 3*l + 5*c. Solve s - x - 1 = l for s.
4
Suppose -5*x + 5*h + 84 = -101, -37 = -x - 4*h. Solve 0 = x*g - 186 - 36 for g.
6
Let x(q) = 6*q + 327. Let k be x(-54). Solve 17*w = k*w for w.
0
Let f be (-8)/(-24)*18*(3 - -3). Solve 3*d - 18 = -f for d.
-6
Let j = 660 - 561. Solve 108*v - j*v - 45 = 0 for v.
5
Let u be 8/10 - (-40018)/(-110). Let o = u - -366. Solve -g - o - 1 = 0 for g.
-4
Suppose -889*t = -1040*t + 24462. Solve 73*v + t = 100*v for v.
6
Let k be -1 + 12924/45*5. Let c be k/451 - (-2)/(-11). Solve 8*o = c*o + 5 for o.
1
Suppose 11 - 37 = -a. Suppose -5*j = 1 - a. Suppose s = -3*s + t + 19, -j*t = -s + 19. Solve s*m = 3*m - 3 for m.
-3
Suppose -2*h - 5*a = -252, 58*h - 4*a = 59*h - 138. Solve -63 = -127*x + h*x for x.
3
Suppose -48 = 2*c + 40. Let f = c + 54. Suppose 3*t = 2*l + 18, t = l + l + f. Solve -t = -2*k - 2*k for k.
1
Suppose 0 = -32*b + 331 - 14827. Let k = -445 - b. Solve k*t + 9 - 1 = 0 for t.
-1
Suppose -p = 4*y - 39, 3*y + 41*p - 29 = 40*p. Solve 9*g = -28 + y for g.
-2
Let x be (-165)/(-30) + -5 - 1*129/(-6). Solve 0 = -x*c - 13*c + 35 for c.
1
Let p = 58 + -59. Let i be (-2 - p) + (-1)/((-5)/(-10)). Let n = 0 - i. Solve -n*h = -2*h + 2 for h.
-2
Let a(k) = -k + 2. Let n = -116 + 156. Let q = -49 + n. Let h be a(q). Solve -h = 5*z + 4 for z.
-3
Let r(n) = 3*n**3 - 31*n**2 + 20*n - 363. Let m be r(11). Solve m = 19*z - 34 for z.
7
Let l = 2307 + -2288. Solve -l*f + 37 = 37 for f.
0
Let a(h) = h**3 - 30*h**2 + 32*h - 75. Let n be a(29). Solve -7*o = -5*o - n for o.
6
Suppose -5*y = -5, 4*w - 202 - 216 = 2*y. Solve -57 + w = 12*g for g.
4
Let q = -257 + 389. Let h = -127 + q. Solve -7*z = -h*z + 6 for z.
-3
Let a(l) = -9*l**3 - l**2 + l + 1. Let o be a(-1). Let b = -135 + 132. Let u be (-91)/(-21) + (-2)/b. Solve -9*g = -u*g - o for g.
2
Let y be -10 - (-10)/((-100)/(-11510)). Solve y*w = 1128*w - 52 for w.
-4
Let q = -6959 - -7258. Solve 65*g - 221 = q for g.
8
Suppose -z = 3*z. Suppose 2*n = -f - n - 15, 4*n = -3*f - 20. Suppose | {
"pile_set_name": "DM Mathematics"
} |
s?
2
Suppose -4*j - 3*x + 381 = 0, 0 = -j - x - 0*x + 94. What is the tens digit of j?
9
Let z(s) = -12*s + 3. Let o be z(2). Let b = 35 + o. What is the units digit of b?
4
Let w(d) = -d**3 + 4*d**2 + 4*d + 3. Let s be w(5). Let b = s + 4. What is the tens digit of (-5)/4*(-10 + b)?
1
Let k be (1 + 1)/(7/21). Let u be (3/(-2))/((-3)/k). Suppose -2*h - u*h + 70 = 0. What is the tens digit of h?
1
Let g be 2/(-9) + (-2)/(-9). Suppose 0 = 5*k + v, -k - 3*k + 3*v = g. Suppose -4*a = -k*a - 28. What is the units digit of a?
7
Let d be 5/(3/((-3)/(-1))). What is the units digit of 1 + 6/(-3) + d?
4
Suppose a - 17 - 5 = t, 4*t = -a + 27. What is the units digit of a?
3
Suppose 0 = -w + 3*b + 68, 2*b = -3*w + 98 + 128. Let z = w - 49. What is the units digit of z?
5
Suppose -a - 3*z = -15, 3*a - 32 + 3 = -5*z. Suppose a = 3*r - 6. Suppose -r*p = -2 - 4. What is the units digit of p?
2
Let m = -27 + 18. What is the units digit of (-81)/(-12) + m/12?
6
Let u = -2 + 6. Let k = 3 - u. Let v = k - -11. What is the tens digit of v?
1
Let l(b) be the second derivative of b**3/6 + 9*b**2/2 - 4*b. What is the units digit of l(7)?
6
Let x be 3/2*(-12)/18. Let u(w) = -21*w - 1. What is the units digit of u(x)?
0
Let j(a) = -a**2 + 4*a + 5. Let k(t) = 2*t - 8. Let z be k(6). Suppose -z*h + 16 = x + x, 0 = 5*x + 5*h - 30. What is the units digit of j(x)?
5
Suppose 64 = 2*i - 3*t - 61, -2*t = -i + 65. Suppose 0 = -2*j + i + 31. What is the units digit of j?
3
Let l(v) = v**3 - 3*v**2 - 18*v - 3. What is the hundreds digit of l(8)?
1
Let j = 155 - 24. What is the hundreds digit of j?
1
Suppose -5*q + 5*j + 750 - 290 = 0, -2*q = -3*j - 187. What is the tens digit of q?
8
Suppose 369 = 19*r - 16*r. What is the units digit of r?
3
Let x be (-5)/((-2)/(-2) + -2). What is the tens digit of (x - 1 - 7) + 27?
2
Let f(k) = k**3 - 4*k**2 - 6*k - 3. Suppose 13 = 4*t - 11. Let p be f(t). Let y = p - 20. What is the tens digit of y?
1
Let k(f) = -f**2 + 8*f + 7. Let z(c) = -c - 1. Let w(g) = -k(g) - 6*z(g). Let r(j) = j**2 - 1. Let b be r(2). What is the units digit of w(b)?
2
Suppose 0 = -g + 5 - 11. What is the units digit of (2/(-3))/(2/g)?
2
Let q = -50 + 198. What is the units digit of q?
8
What is the units digit of 10/60 + -47*(-1)/6?
8
Let f(w) = -w + 65. Let m be f(0). Suppose 5*g - 40 = m. What is the units digit of g?
1
Let q(g) be the first derivative of -g**2 + g + 3. Let o be q(-1). What is the units digit of (o + 1 + -2)*2?
4
Suppose -2*g = -4*g. Suppose g*q + 4*q = 44. What is the units digit of q?
1
Suppose 5*x + 3 = 43. Suppose x = p - 0. Let j = 12 - p. What is the units digit of j?
4
Let q be (12/9)/((-2)/12). Let f(z) = -z**2 - 10*z - 3. Let g be f(-7). Let a = g + q. What is the units digit of a?
0
Let c = -21 + 25. What is the units digit of c?
4
Let u(d) = 126*d**3 - d**2 + 3*d - 2. What is the tens digit of u(1)?
2
Suppose -d + 12 = -4*d, 72 = 4*n + 2*d. What is the units digit of n?
0
Let w(s) = 40*s**2 - 1. What is the units digit of w(-1)?
9
Let f(p) = -20*p**3 + 2*p**2 + 2*p + 1. What is the tens digit of f(-1)?
2
Let l = 14 - 11. Suppose w + 24 = l*w. What is the tens digit of w?
1
Suppose -m = -3*u - 7, -2*m + 2*u + 3 = -m. Let p be (1*2)/(3 + m). Let a = 4 + p. What is the units digit of a?
3
Let l(j) = j**2 + 8*j + 11. Let d be l(-5). What is the units digit of (2 + -4 - d) + 42?
4
Let c be 2*(-2)/4 - -1. Let l be c + 3/1 + -1. Suppose l*v + v = 33. What is the units digit of v?
1
Suppose b = -j + 3*b, 0 = 2*b - 2. What is the units digit of j?
2
Let g = 15 + -13. What is the units digit of (g/3)/((-10)/(-105))?
7
Suppose 2*v + 3*c = 3, -3*c + 3 = -0. Suppose 8 = 4*p - 2*m, v = 3*p + m + 2*m + 3. Suppose -3 = -2*j - p. What is the units digit of j?
1
Let n = -2 + 18. Suppose -5*x + x = -n. What is the units digit of ((-6)/4)/((-3)/x)?
2
Let v be 16 - 3/(-2)*-2. Suppose -v*f + 15 = -8*f. What is the units digit of f?
3
Let j = -122 + 183. What is the units digit of j?
1
Let n(h) = -h + 10. Let c(w) = 8*w. Let p be c(1). Let t be n(p). What is the units digit of -5*t*(-2)/4?
5
Let n be (4/(-2 + 1))/(-1). Suppose -44 = n*o - 6*o. What is the units digit of o?
2
Suppose -7 + 34 = -4*p + z, 3*z = 4*p + 17. Let n be p/(-2)*(-18)/8. What is the units digit of (-1)/((n/(-24))/(-3))?
8
Suppose -4*i = -4*u - 156, -2*u = 3*i - 0*u - 92. What is the units digit of i?
4
Let r(q) = -3*q - 12. Let b be r(10). Let w = b - -69. What is the units digit of w?
7
Let z be -1*2 - (3 + 1). Let h = z + 6. Suppose -4*u + 26 = 2*o - 0*u, h = 5*o - 4*u - 51. What is the tens digit of o?
1
What is the hundreds digit of 1/(-3 + (-2 - 1222/(-244)))?
1
Let i(s) be the first derivative of -s**4/4 - 5*s**3/3 + 7*s**2/2 - 7*s - 7. What is the units digit of i(-7)?
2
Let k = 84 + 41. Suppose 0 = -3*h + 8*h - k. What is the tens digit of h?
2
Suppose -q - 13*q + 1554 = 0. What is the units digit of q?
1
Suppose 5*p + 36 = q, -7*q + 2*q + 2*p + 65 = 0. What is the units digit of q?
1
Suppose 2*c + 2*a - 95 = 5*a, -3*a = -4*c + 175. What is the units digit of c?
0
Let j = 833 - 509. What is the hundreds digit of j?
3
Let i(s) be the third derivative of 2*s**5/15 - s**4/24 - s**2. Let u be 9/(-45) + 12/10. What is the units digit of i(u)?
7
Let m(h) = -h**2 + 9*h - 3. Let r be m(7). Suppose -2*g - r = -31. What is the units digit of g?
0
Let z = -106 - -159. What is the units digit of z?
3
Let w be 4/22 - (-101)/(-11). What is the units digit of 2/3 + (-30)/w?
4
Suppose -28*w + 23*w = -190. What is the units digit of w?
8
Let c(q) = -q**3 + q**2 + 104. What is the hundreds digit of c(0)?
1
Suppose -4*j + 4*f = -200, 0*f + 121 = 2*j + 5*f. What is the tens digit of j?
5
Suppose -3*h + 39 + 18 = 0. What is the tens digit of h?
1
Let i(k) = -4*k - 5. Let a be i(-2). Suppose a*c - 10*c = -63. What is the units digit of c?
9
Suppose 2*v + 2*v - 4*n - 8 = 0, n = -v - 8. Let t = v - -6. Suppose -t = -g + 4. What is the units digit of g?
7
Suppose 114 - 20 = 2*m. What is the units digit of m?
7
Suppose -4*j = -k + 33, -3*j + 6*j + 80 = 4*k. What is the tens digit of k?
1
Let k(g) = 5*g**2 - 6*g + 1. Let h(l) = -6*l**2 + 7*l - 1. Let j(b) = 4*h(b) + 5*k(b). Let w = -5 - -7. What is the units digit of j(w)?
1
Let a(p) = p**2 + 6*p + 15. What is the units digit of a(-6)?
5
What is the hundreds digit of 289*1 - (6 + -9)?
2
Suppose 6*a - a = 0. Suppose a*p + 1 = p. What is the units digit of p?
1
Suppose -2*s = 1 + 1. Let z be 0 - 4*6*s. Let c = -15 + z. What is the units digit of c?
9
Let a(o) = o + 18. What is the units digit of a(-13)?
5
Let q = 7 - 3. Suppose 2*z = 4*t - 8, -q*z = -t + z - 16. What is the units digit of t?
4
Let h(j) = 72*j**2. What is the tens digit of h(1)?
7
Let j = -159 - -303. What is the units digit of j?
4
Suppose 5*l = -0*c - 4*c + 99, -3*l = 3*c - 60. Suppose 0 = -4*s - 5*d + l + 12, 23 = 5*s + d. Suppose s*y - 42 = -6. What is the units digit of y?
9
Suppose 2*t + 4*y - 24 = 0, 0 = 2*t - 2*y - 2*y + 16. Suppose 0 = t*a - 4*a + 3*q + 29, 3*a - 35 = -4*q. What is the units digit of a?
3
Suppose 5*x - 4*l - 817 = 0, -5*x + 0*l + 827 = l. Suppose 121 = 2*b - 5*i, 3*b - i - x = i. What is the tens digit of b?
5
Let v(f) = 6 - f**2 + 0*f**2 - 9*f + 2*f**2. Let t be v(8). What is the units digit of 78/10 + t/(-10)?
8
Suppose 13 = -4*f + 1, -12 = 3*q - 4*f. Let w = q + 13. What is the units digit of w?
5
Let h = 139 - 58. What is the tens digit of h?
8
Suppose 9 = 3*s - 72. What is the tens digit of s?
2
Let h(k) = 7*k - 35. What is the units digit of h(16)?
7
Suppose 230 = -9*q + 4*q. Let l = 65 + q. What is the units digit of l?
9
Let b be (-18)/(-15)*(-10)/(-4). Let g = b - 1. What is the units digit of 3*g/6 - 0?
1
Let d = 66 + -12. What is the tens digit of d?
5
Let q = 11 - 8. Suppose 2*j - 8 + 4 = 0. Suppose -q*s = 4*x - 19, 5*x - 2*s - j = -7. What is the units digit of x?
1
Let s = -2 - -7. Suppose 2*a - 10 = -2*x + 4, s*a - 5*x = 45. What is the units digit of a?
8
Suppose 54*g - 50*g = 1544. What is the tens digit of g?
8
Let h = 8 - 2. Let d be h*(3 + -5)/6. Let r(q) = -6*q - 2. What is the units digit of r(d)?
0
Let q = 1 + -4. Let t = q - -5. What is the units digit of t?
2
Let z be (-2)/(-4) - (-3)/2. Suppose z*r - 34 = -3*n + 4*r, 0 = 2*n + 3*r - 1. W | {
"pile_set_name": "DM Mathematics"
} |
104? (a) -0.3 (b) 9 (c) 0 (d) -1/7 (e) -3 (f) 243
b
What is the closest to -4/21 in 2, -555, -0.2, -4?
-0.2
Which is the closest to 0.0696? (a) 1 (b) -10/7 (c) 0.068
c
What is the closest to -1 in 0.092, 920, -8/7?
-8/7
What is the nearest to 0 in -40, 50, -26.5, -0.1?
-0.1
What is the closest to -279 in -3/8, -3, 0.16, 0.05, 0?
-3
What is the closest to 1/5 in -2/5, -3/2, 1/62, 1388?
1/62
Which is the nearest to 0.7? (a) -2.8 (b) 0.2 (c) 4648 (d) -5/2
b
Which is the nearest to 1/10? (a) -0.11 (b) -0.3 (c) -2 (d) 3306 (e) -0.4
a
Which is the nearest to 1/15? (a) 3 (b) 19 (c) -4 (d) -1/2 (e) -0.16 (f) -1437
e
Which is the nearest to 68? (a) 5 (b) 2/69 (c) 4 (d) 1/398
a
What is the closest to 22 in -2.78, -3/10, -4?
-3/10
What is the nearest to 1/52 in 2, 0.4, 5, 0.1, 9843?
0.1
What is the nearest to 4351 in -3, 330, 6?
330
Which is the closest to -0.4? (a) -2/9 (b) -2 (c) 0.89976
a
Which is the closest to -12? (a) -5/16 (b) 1/20 (c) -5/54
a
Which is the nearest to -64? (a) 0.3 (b) -323 (c) 5 (d) -4/9 (e) -3/4 (f) 0.07
e
What is the nearest to 0 in -5/2, 0.063, 4/5, 2320?
0.063
What is the closest to -0.1 in -10, 430/233, -1/51, -3, 4?
-1/51
What is the closest to 4361 in -0.2, 0.05, -11, 2/7?
2/7
What is the closest to 0.1 in 4, 9/2, 3000, -2, -4?
-2
What is the nearest to -1/51 in 2105, -5, 5?
-5
Which is the nearest to 3? (a) 3 (b) -4.348 (c) -20 (d) 2/17 (e) -4/5
a
Which is the closest to -1/6? (a) 0 (b) 0.88 (c) 3.8 (d) 95/6 (e) 3
a
What is the closest to -148 in 0.02, -2/7, 2, 9/28?
-2/7
What is the closest to -4.51 in -0.4, 2, -0.19, 3, 0.27, 4?
-0.4
What is the nearest to -5 in -139.772, 1, 1/5?
1/5
What is the nearest to -3 in 5, -1/3, -62, 6, -33?
-1/3
What is the closest to -0.3 in -4, 9/4, 5/22, 12, 1/5?
1/5
What is the nearest to -0.13 in 1/62, 2, -346/11?
1/62
What is the nearest to -18 in 5969, 2, -10?
-10
What is the closest to 0.1 in 1, -1162/19, -366?
1
Which is the closest to -51? (a) 16 (b) -5 (c) 3 (d) -4/25 (e) 5 (f) -12
f
Which is the nearest to -4? (a) 3 (b) 0 (c) -0.3 (d) -2.5
d
Which is the nearest to 1/3? (a) 48.9 (b) 59 (c) -3/8 (d) 2 (e) 0 (f) -3/7
e
What is the nearest to 0.59 in -0.3, 1, -0.033, 192?
1
Which is the nearest to 15? (a) -809 (b) -0.5 (c) -0.1
c
Which is the closest to 0.107404? (a) 4 (b) -0.27 (c) 2
b
Which is the closest to -9? (a) 2 (b) -5/3 (c) 4 (d) -3.094 (e) -5 (f) -1/2
e
Which is the nearest to -373? (a) 0.1 (b) 1 (c) -3 (d) -1 (e) 56
c
Which is the closest to -0.3? (a) 0.09 (b) 41697 (c) 2/7
a
Which is the nearest to -5/486? (a) -0.1 (b) 81/2 (c) 4
a
What is the closest to 5 in -1/25, 4, -19, 0, -4, 60/13?
60/13
What is the nearest to 17.6 in -2, -0.3, -2471, -0.5?
-0.3
What is the nearest to 250.5 in 8/7, -28, 0.5, -5, -1/8, -0.1?
8/7
What is the nearest to -0.188 in -14, -101, -4, 1?
1
Which is the nearest to -2/21? (a) 2/7 (b) 0 (c) -0.02 (d) -4/5 (e) 3/7
c
What is the nearest to -0.1 in -3, 0.13, 1771895?
0.13
What is the nearest to 0.4 in -0.07, -2/3, -18.886?
-0.07
Which is the closest to -11? (a) -268475 (b) 5 (c) -0.3 (d) -1 (e) 1
d
What is the nearest to 1 in 7.9, 40, 2/5, -32, -0.3?
2/5
What is the nearest to -2/5 in -1/4, 8, 3430?
-1/4
Which is the closest to -0.1? (a) -92 (b) 1/13 (c) 5 (d) 1/5 (e) 2
b
What is the closest to 2.6 in 112, -2649, -2/5, -2/3?
-2/5
What is the nearest to -182 in 3, -1, 21, -3?
-3
What is the nearest to 1 in 1/4, -2, 33374/3?
1/4
Which is the nearest to 1? (a) 3 (b) -4 (c) 452146
a
Which is the closest to -1.2? (a) -2 (b) -1.4478 (c) 5/6 (d) 3 (e) 4
b
Which is the nearest to -0.2? (a) -9 (b) 163/7 (c) 0 (d) 5 (e) 0.1
c
Which is the closest to -4? (a) -350 (b) 0.46 (c) 30
b
Which is the closest to -5/3? (a) 3/5 (b) 1/4 (c) 3/7 (d) -0.06 (e) -14
d
What is the nearest to 1 in 1081, 11, -176?
11
Which is the nearest to -1/4? (a) 3 (b) -7 (c) -23 (d) -74
a
Which is the closest to 1? (a) 0.24 (b) 9731 (c) 0.5 (d) -0.2 (e) 2/13
c
Which is the closest to -124? (a) 1/4 (b) 0 (c) 229.9 (d) 4 (e) -5
e
Which is the closest to -2/5? (a) 40 (b) 14 (c) -5 (d) 57 (e) 2/3
e
What is the nearest to -0.485 in 0.5, 1/9, 3/1802, -4?
3/1802
What is the closest to 18/5 in 2/25, -1/22, 0.03, -2/19?
2/25
What is the closest to 100 in 3, -19179, -7?
3
What is the nearest to 197 in -4, -15, -2.2, -3, 1/6?
1/6
What is the nearest to -1 in 7, 0.5, -5, 2/15737, -4/3, 0.202?
-4/3
Which is the nearest to -0.9? (a) -18.735 (b) 0.3 (c) 0.5 (d) -0.1 (e) 2.7
d
What is the closest to -3 in 0.5, 43, 4767?
0.5
What is the nearest to 10112 in -1, 1, 2/13, -1/4, -3/2?
1
What is the closest to 364 in 2/1435, 0.3, -0.3?
0.3
Which is the closest to -32/35? (a) 2/5 (b) 1/6 (c) 4 (d) 4121 (e) 0.2
b
Which is the nearest to -1.1? (a) 3 (b) -5/11 (c) -6 (d) 1775
b
Which is the nearest to -7? (a) -0.8 (b) -0.028 (c) -2/349
a
Which is the closest to 3/2? (a) -1/4 (b) 1 (c) 512.36 (d) -4
b
Which is the nearest to 752? (a) 26 (b) -3 (c) -4/79 (d) -5
a
Which is the nearest to 1/4? (a) -5 (b) -30 (c) -4 (d) -3 (e) 0.263
e
Which is the closest to -24/71? (a) 0.5 (b) 9 (c) -17
a
Which is the closest to 0.2? (a) 231 (b) 1.3 (c) -3 (d) -16/13
b
Which is the nearest to 0.7107? (a) -56 (b) 0.6 (c) 1/4 (d) 0.3
b
What is the closest to 0.1 in 2/27, -4, 3, -3/409, -0.2, -14/9?
2/27
Which is the nearest to 0.2? (a) 5/4 (b) 2/19 (c) 3.61 (d) 13 (e) -0.083
b
Which is the closest to -2/929? (a) -0.04 (b) -4 (c) -10.46
a
What is the nearest to 708/13 in -1/4, 2/3, -105, -2, 1/3?
2/3
Which is the nearest to 4? (a) 0.8 (b) 4 (c) 3 (d) 14/33 (e) 0.13
b
Which is the nearest to 2/259? (a) -3/4 (b) 23782 (c) -0.4 (d) -2
c
What is the nearest to 0 in 249, -39, 2/233?
2/233
What is the nearest to 3/4 in -6/287, 0.5, -14, -7?
0.5
Which is the nearest to -4.8? (a) -1 (b) 2/13 (c) -0.298 (d) 556 (e) -4
e
Which is the nearest to -1? (a) -5 (b) 35 (c) -1.5 (d) 0.5 (e) 1 (f) 21/22
c
Which is the closest to 0.1? (a) -1.4 (b) 1.35 (c) 1/3 (d) -0.46
c
What is the closest to 2/27 in -2/9, -29.40033, -3?
-2/9
What is the nearest to -1/37 in 3.9, 65, 7?
3.9
Which is the closest to 2/13? (a) 5 (b) 0.5 (c) -0.2 (d) -2482 (e) 2
b
What is the nearest to 4/5 in -4, 4658, 0, -2.5, 0.1?
0.1
What is the nearest to -45/2 in 0.18, 2/25, 2/5, -1/3?
-1/3
Which is the closest to 0.02? (a) 0.07 (b) 3/7 (c) -5 (d) -2.669
a
Which is the closest to 1.2? (a) 2 (b) -0.24 (c) 794.1
a
What is the nearest to -1222 in -0.024, 2/15, -189?
-189
Which is the nearest to 0.5? (a) 546 (b) -4/7 (c) 124
b
Which is the nearest to 0? (a) 58155 (b) 26 (c) 4
c
Which is the closest to -1? (a) 0.5 (b) -4676.59 (c) -9 (d) 3
a
What is the closest to 1 in -2/21, 5257, -3, -2/5, 3/8, -2?
3/8
What is the closest to -5.08 in -1/4, 10/21, 5, 2/7?
-1/4
What is the nearest to 87 in -4, -0.4, -6956?
-0.4
What is the nearest to -7 in -10, 212, -0.209?
-10
What is the nearest to -86 in -5/3, -8478, 5, 3, 1/6?
-5/3
Which is the closest to 0? (a) -1 (b) 0.1 (c) -2/3 (d) 0.4 (e) 42 (f) -7
b
Which is the closest to -0.07? (a) 17 (b) -34 (c) -389
a
Which is the closest to 0.1? (a) 30374 (b) 0.3 (c) -5 (d) -0.2 (e) -48
b
Which is the nearest to -1/654? (a) -14 (b) -0.13 (c) 0.08
c
Which is the closest to -725/18? (a) 1/2 (b) 0.6 (c) -0.5
c
What is the closest to -3/11 in 124/33, -0.5, 2/11, -5.4, 2, -3?
-0.5
Which is the nearest to -0.05? (a) 5/46 (b) -4 (c) 0 (d) 0.19 (e) 3/4
c
What is the closest to -1966.9 in -0.4, -2/3, 104?
-2/3
Which is the nearest to -0.028? (a) 0.4 (b) -5/11 (c) -615
b
What is the nearest to -1/5 in -5, 2/3, 0.1, 910?
0.1
What is the nearest to 1/3 in 0.08, -1/4, 0.03, 20/11, -0.8?
0.08
Which is the nearest to -34? (a) -16/39 (b) -3/5 (c) -1/3 (d) 1
b
What is the nearest to -0.06 in 3/22, -2.5, -8, 10?
3/22
What is the nearest to 88 in -21.8, -0.5, -1/4, -5?
-1/4
Which is the closest to 1/57? (a) 4 (b) -13795 (c) 14 (d) 2
d
Which is the nearest to 12? (a) -37 (b) -3 (c) 4 (d) -2/11 (e) 1.8 (f) 3
c
Which is the closest to 8? (a) 0 (b) -21.97 (c) 702
a
What is the closest to 0.65 in 0.3, 0. | {
"pile_set_name": "DM Mathematics"
} |
mplify (o/(o**(-2/21)*o))/(o**(-5)*o) assuming o is positive.
o**(86/21)
Simplify d*d**(-9)/d*d*d**(-5/9)/d assuming d is positive.
d**(-86/9)
Simplify k*k/k**(5/13)*k*k*k/(k*k*k/(k**(2/27)*k)) assuming k is positive.
k**(944/351)
Simplify g*g**(-3)*(g*g**(-2/7))/g*(g*g*g**(-1))/g**(-1/6) assuming g is positive.
g**(-47/42)
Simplify (o**3*o)/(o/(o**4*o))*(o**(-1))**44 assuming o is positive.
o**(-36)
Simplify f**(-6)/(f*f/(f**(-5/6)*f))*f/(f*f/(f/f**3))*f/(f/(f**2*f)) assuming f is positive.
f**(-47/6)
Simplify i/((i/i**(-1/3))/i*i)*i*i*i**(1/3)*i*((i/((i*i**(5/4))/i))/i)/(i/i**(-8)) assuming i is positive.
i**(-29/4)
Simplify (f/f**(1/6))**(1/14) assuming f is positive.
f**(5/84)
Simplify (u*u*u*(u*u/((u*u**(-8))/u))/u)**(1/21) assuming u is positive.
u**(4/7)
Simplify (a*a**(-13))**(-46) assuming a is positive.
a**552
Simplify x*x/x**(6/11)*x*x*x**(-28) assuming x is positive.
x**(-270/11)
Simplify ((u/u**(11/4))/(u**(-2/9)*u))**(-29) assuming u is positive.
u**(2639/36)
Simplify (h/h**(-2/15)*h/(h*h**5))/((h/(h*h**(3/4)))/(h**(-1)/h)) assuming h is positive.
h**(-307/60)
Simplify l**8/l**16 assuming l is positive.
l**(-8)
Simplify (x**1/(x*x**4*x))/(x**(-3/5)*x*x**(-3/8)) assuming x is positive.
x**(-201/40)
Simplify (m**(-1/7)*m**(-1/5)/m)**(15/7) assuming m is positive.
m**(-141/49)
Simplify (x**(7/2))**(-37) assuming x is positive.
x**(-259/2)
Simplify ((m**37/m)/m)/m**(4/15) assuming m is positive.
m**(521/15)
Simplify (f/(f*f**(-6))*f**(-1/3))**(-25) assuming f is positive.
f**(-425/3)
Simplify (v**(-2))**(-2/3)/((v*v**2)/v)**(-42) assuming v is positive.
v**(256/3)
Simplify (d*d*(d*d*d**3*d)/d)**(-19) assuming d is positive.
d**(-133)
Simplify r**(2/5)*r**3*(r/(r/(r*r**0*r)))**(5/4) assuming r is positive.
r**(59/10)
Simplify (y**(-2/11)*((((y*(y/y**(-1/4))/y)/y*y)/y)/y)/y)**25 assuming y is positive.
y**(-2125/44)
Simplify (d/(d**(-4)*d)*d*d*d/(d*d**(-1/4)))**(25/2) assuming d is positive.
d**(625/8)
Simplify (u**(-6/7))**(-1/33) assuming u is positive.
u**(2/77)
Simplify ((b**3)**(2/97))**0 assuming b is positive.
1
Simplify (b**(-2/13))**25*(b**(1/6))**(-2/17) assuming b is positive.
b**(-2563/663)
Simplify w*w**13*w**11 assuming w is positive.
w**25
Simplify (q*q/q**(-3)*q*q*q**(-3/5)*q*q)/(q**(-6)/q*q/((q**(-3/5)/q)/q)) assuming q is positive.
q**(59/5)
Simplify (d*d*d*(d**14/d)/d)/d*d*d*(d**15*d)/d assuming d is positive.
d**31
Simplify (c/c**(-5/6)*c)/(((c*c*(c*c**(-5))/c)/c)/c)*c**(-4)/c*c**(-4/3) assuming c is positive.
c**(3/2)
Simplify (z**(-14)*z)/(z/(z*z/(z/(z*z*z**(-17)))*z)) assuming z is positive.
z**(-27)
Simplify ((r*r**(4/7)*r)/r)/(r*r**(-2/5)*r)*(r**1*r*r*r)**(-26) assuming r is positive.
r**(-3641/35)
Simplify c**6*c*c**(-7) assuming c is positive.
1
Simplify (g**0)**(-1/41)/((g**(3/5)/g*g)/(g*g**(-2/11))) assuming g is positive.
g**(12/55)
Simplify (m/m**(-27))**45 assuming m is positive.
m**1260
Simplify ((c**9*c*c)/c*c**(-3))**(-14) assuming c is positive.
c**(-98)
Simplify ((s/(s/s**(-7)))/(s/(s*s**10/s)))/((s/((s/s**(-4/5)*s*s)/s))/((s*s**(6/11)*s)/s)) assuming s is positive.
s**(294/55)
Simplify (z/(z**7/z))/((z**(-1/4)*z)/z)*(z/(z/z**8))/((z*z**(-1/6))/z) assuming z is positive.
z**(41/12)
Simplify (r**(-1/25))**(-2/27) assuming r is positive.
r**(2/675)
Simplify (o/(o/o**7)*o**(-2/11))**(-13/5) assuming o is positive.
o**(-195/11)
Simplify ((h/h**5)/(h/h**(-1/2)*h))/(((((h/(h**(1/4)/h))/h*h)/h)/h)/(h/(h/(h*h**(-5/4)*h)))) assuming h is positive.
h**(-11/2)
Simplify (j**9*j)/j**(-1/15) assuming j is positive.
j**(151/15)
Simplify (l**0/l*l/(l*l**(-3/5)*l))**13 assuming l is positive.
l**(-91/5)
Simplify (d**(6/7)*(d*d**0/d*d*d*d)/d)/(d**(-2)*d*d**(-7)*d) assuming d is positive.
d**(69/7)
Simplify (v*v/v**(-1/3)*v*v*v)**8/(v*v**(1/2))**(-1/8) assuming v is positive.
v**(2057/48)
Simplify ((p**(2/27)/p)/(p*(p**(2/5)*p*p)/p))**39 assuming p is positive.
p**(-5837/45)
Simplify (m**(-7/3))**(-1/20) assuming m is positive.
m**(7/60)
Simplify u**(1/4)*u/u**(5/4) assuming u is positive.
1
Simplify (v**(2/17)*v)**(-2/11) assuming v is positive.
v**(-38/187)
Simplify (r/((r*r/r**(-2/43)*r*r)/r*r*r))/(((r/r**(-1/5))/r)/r) assuming r is positive.
r**(-698/215)
Simplify m**10*m*m/(m**4*m)*(m**3)**(2/19) assuming m is positive.
m**(139/19)
Simplify n/n**2*n*n**(-16)/n*n assuming n is positive.
n**(-16)
Simplify (s*s*s/(s/((s*s**29)/s)*s)*s)/(s/s**(1/43)) assuming s is positive.
s**(1291/43)
Simplify p**(-5)*p*(p/(p*p/(p**(-6/7)*p)*p))/p*p*(p**(2/7)*p)/p**0 assuming p is positive.
p**(-32/7)
Simplify (k*k**(-8/11))/k*k**(-5/6) assuming k is positive.
k**(-103/66)
Simplify ((g/(g*g**1/g))**(-11))**(19/5) assuming g is positive.
1
Simplify s**34*s/((s/s**(2/13))/s*s) assuming s is positive.
s**(444/13)
Simplify (a*(a/(a*(a**(-8)*a)/a))/a)/a**(-6/7) assuming a is positive.
a**(62/7)
Simplify (y**(2/7)/y**(-1/2))/(y**(-5)/(y*y**(-5/3)*y*y)) assuming y is positive.
y**(299/42)
Simplify ((u/u**(-2/3))/(((u*(u**(1/4)/u)/u)/u)/u))**(-7) assuming u is positive.
u**(-371/12)
Simplify ((w*w**(-2/15)*w*w*w)/(w/(w/(w**6*w))*w))/((w/(w**8*w))/w**(-5)) assuming w is positive.
w**(-17/15)
Simplify ((m*m**(-3))/(m/(m/m**(2/9))))/(m**(-4)/(m*m/(m*m/m**5)*m)) assuming m is positive.
m**(70/9)
Simplify ((b/(b*b/(b*b/(b*(b**(-4)/b)/b)*b*b*b)))/(((b/b**(-5))/b)/b))/(b**(-5/6)*(b/(b/(b*b/((b*b**(-1/4)*b)/b*b*b)*b*b)))/b) assuming b is positive.
b**(67/12)
Simplify (((m*(m**(-1/4)/m)/m*m)/m*m)/m*m)**0/((m**3/m)/(m**(1/3)*m)) assuming m is positive.
m**(-2/3)
Simplify (y/(y/y**(-2/13)*y))/(y**(-2/91)*y) assuming y is positive.
y**(-194/91)
Simplify (i**(-4)/((i/i**3)/i*i))/(i*i/(i*i**(1/12))*i*i*i/i**6) assuming i is positive.
i**(1/12)
Simplify g**(-6)/g**(1/7) assuming g is positive.
g**(-43/7)
Simplify (b/(b*b*b**3/b)*b/(b*b**(-7)))/((b**(2/23)/b)/b*b*b*b*b*(b*b*b**4*b*b)/b*b*b) assuming b is positive.
b**(-163/23)
Simplify j/j**(1/6)*j**(-1) assuming j is positive.
j**(-1/6)
Simplify j**(-21/4)*j/(j/((j*j**26)/j)*j) assuming j is positive.
j**(79/4)
Simplify (h**(-4)*h**(-1/2))/(h/(h**9*h)*h/(h**(-11)*h)) assuming h is positive.
h**(-13/2)
Simplify ((f/(f*f**(-2/5)))/f*f)/f*f**(2/15)/f*f**(-1/4)*f**(-4) assuming f is positive.
f**(-343/60)
Simplify (s*s**(2/5))/(s*(s**(-3/5)*s)/s) assuming s is positive.
s
Simplify (k**(1/4)*k)**(-28)*((k*k**4*k)/k)/((k**(2/15)*k)/k) assuming k is positive.
k**(-452/15)
Simplify (p**(-2/13)*p*p)**(-38) assuming p is positive.
p**(-912/13)
Simplify (j**(-7/3)/j)**17 assuming j is positive.
j**(-170/3)
Simplify (u*u**(-3/4)/u)/((u/(u*u**(-7/3)/u))/u) assuming u is positive.
u**(-37/12)
Simplify (p*p**32)**(2/5) assuming p is positive.
p**(66/5)
Simplify y**5/y**5 assuming y is positive.
1
Simplify (b*b**(-2))**(2/21)*((b*b**(2/9))/b)**(-40) assuming b is positive.
b**(-566/63)
Simplify s**(2/29)/s*(s**(24/7)/s)/s assuming s is positive.
s**(101/203)
Simplify (v**(-3/4))**(-3/52) assuming v is positive.
v**(9/208)
Simplify (v**(-6))**(-15/8) assuming v is positive.
v**(45/4)
Simplify (v**1*v*v)**(-2/67)*v**(-1/13)/v**(3/7) assuming v is positive.
v**(-3628/6097)
Simplify ((y/(y**(-2/11)*y))/y*(y/(y*y*y**(-1/5)))/y)/((y**(-1/2)*y)/y**(-2/13)) assuming y is positive.
y**(-4679/1430)
Simplify (g/(g**(1/7)/g))/(g*((g*(g/((g*g*g**1)/g*g*g))/g)/g)/g) assuming g is positive.
g**(41/7)
Simplify ((y**(-1/3)*y*y)**(-23))**37 assuming y is positive.
y**(-4255/3)
Simplify (k**(-2)/k*k*k)**(2/17) assuming k is positive.
k**(-2/17)
Simplify ((r**(1/3)/r)/(r/r**(2/17)))**(-5) assuming r is positive.
r**(395/51)
Simplify (q**8*q*q*q/q**(-8))/(q/(q*q**(1/4)))**(-32) assuming q is positive.
q**11
Simplify i*i**7*i**(-22)/i assuming i is positive.
i**(-15)
Simplify (n**(-2/5))**(-1/3) assuming n is positive.
n**(2/15)
Simplify (q/q**1*q*q*q*q)**(-2/75)*(q*q*q**(1/3)*q*q)**41 assuming q is positive.
q**(4439/25)
Simplify (h/(h/h**(-2))*h*h**(-2/11)*h*h)/((h**(-1)*h*h)/h*h)**(-1/5) assuming h is positive.
h**(56/55)
Simplify u*u*(u*(u/(u*u**(-1/4)))/u)/u*u*u**(3/16) assuming u is positive.
u**(39/16)
Simplify (k/(k/(k**(1/30)/k)))/(k**(4/3)/k) assuming k is positive.
k**(-13/10)
Simplify ((n**(-3))**40)**(-2/37) assuming n is positive.
n**(240/37)
Simplify ((k/(k/k**(-6/5))*k)/k)/k**(1/4)*k*k**1*(k*k/(k*k**(6/7)/k))/k assuming | {
"pile_set_name": "DM Mathematics"
} |
from {d: 4, q: 7, j: 2, f: 1, x: 1, r: 2}?
1/170
What is prob of picking 2 u when two letters picked without replacement from zkkkzkkuukkzzzku?
1/40
Calculate prob of picking 4 j when four letters picked without replacement from {m: 1, j: 14, o: 2}.
143/340
Calculate prob of picking 4 x when four letters picked without replacement from {x: 7, s: 5}.
7/99
Two letters picked without replacement from pypygyp. What is prob of picking 2 y?
1/7
Two letters picked without replacement from {p: 2, h: 1, c: 4}. What is prob of picking 1 c and 1 p?
8/21
Calculate prob of picking 2 v and 2 i when four letters picked without replacement from iviceamv.
1/70
What is prob of picking 2 n when two letters picked without replacement from {m: 1, n: 4, q: 2, a: 4}?
6/55
What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 11, x: 2, o: 1}?
22/91
Three letters picked without replacement from {k: 6, o: 1, j: 3, i: 5, r: 2, a: 3}. Give prob of picking 3 i.
1/114
What is prob of picking 2 p when two letters picked without replacement from cgccpgccgkyk?
0
Three letters picked without replacement from qftzvff. What is prob of picking 1 z and 2 f?
3/35
Four letters picked without replacement from {q: 5, h: 13}. What is prob of picking 1 q and 3 h?
143/306
Three letters picked without replacement from cqqcq. Give prob of picking 2 c and 1 q.
3/10
What is prob of picking 1 e, 1 a, and 2 c when four letters picked without replacement from cawcahecccwsaca?
4/91
Calculate prob of picking 1 c and 3 d when four letters picked without replacement from mddmdmmdccmdcdfd.
3/52
Calculate prob of picking 1 e, 1 l, 1 h, and 1 u when four letters picked without replacement from {u: 8, r: 3, l: 2, s: 1, h: 4, e: 2}.
128/4845
Calculate prob of picking 3 u when three letters picked without replacement from {a: 4, u: 7}.
7/33
Calculate prob of picking 1 x and 1 u when two letters picked without replacement from uxuuuuuuuxuu.
10/33
What is prob of picking 3 g when three letters picked without replacement from glgg?
1/4
What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 1, j: 1, i: 1}?
1/3
Three letters picked without replacement from mbplbpbnb. What is prob of picking 1 m, 1 b, and 1 p?
2/21
Two letters picked without replacement from feefegeeellflgefee. Give prob of picking 1 l and 1 f.
4/51
Four letters picked without replacement from {c: 11, e: 9}. What is prob of picking 4 e?
42/1615
Calculate prob of picking 2 a when two letters picked without replacement from {v: 1, i: 1, z: 1, l: 1, a: 3}.
1/7
What is prob of picking 2 l when two letters picked without replacement from {l: 9, c: 4, k: 1}?
36/91
Three letters picked without replacement from zpqdkqzzzkzqzkk. Give prob of picking 3 q.
1/455
Four letters picked without replacement from accilliciaaaccicaal. Give prob of picking 1 i, 2 l, and 1 c.
6/323
Calculate prob of picking 1 b and 2 r when three letters picked without replacement from ibrr.
1/4
Two letters picked without replacement from {r: 1, v: 2, u: 2, f: 1, g: 2}. What is prob of picking 1 f and 1 r?
1/28
Calculate prob of picking 2 x and 2 p when four letters picked without replacement from xxwpwpxp.
9/70
What is prob of picking 1 s and 1 p when two letters picked without replacement from sdsssdddddpdddddssds?
7/190
Two letters picked without replacement from {g: 1, j: 2}. What is prob of picking 1 j and 1 g?
2/3
Calculate prob of picking 1 s and 1 j when two letters picked without replacement from xcmsjck.
1/21
What is prob of picking 3 v when three letters picked without replacement from svpvpsvsvsvs?
1/22
What is prob of picking 3 o and 1 k when four letters picked without replacement from rrrookrro?
1/126
Four letters picked without replacement from yokoyokoyyoooyox. Give prob of picking 1 x, 1 y, and 2 o.
1/13
Calculate prob of picking 1 o and 1 z when two letters picked without replacement from zozozottooztozptpo.
35/153
What is prob of picking 2 h and 1 k when three letters picked without replacement from {h: 8, k: 2}?
7/15
Calculate prob of picking 2 w and 1 t when three letters picked without replacement from {w: 4, t: 3, n: 1, j: 12}.
3/190
Calculate prob of picking 1 k and 1 o when two letters picked without replacement from syopeskoe.
1/18
What is prob of picking 1 d, 1 v, and 1 k when three letters picked without replacement from {v: 2, d: 3, k: 1, t: 1, z: 4}?
2/55
Two letters picked without replacement from rellmwsw. What is prob of picking 1 l and 1 m?
1/14
Calculate prob of picking 1 q and 2 u when three letters picked without replacement from uxuxq.
1/10
Three letters picked without replacement from {f: 1, n: 1, p: 3}. Give prob of picking 2 n and 1 p.
0
Two letters picked without replacement from {a: 18, o: 1}. Give prob of picking 2 a.
17/19
What is prob of picking 1 m, 1 x, and 1 p when three letters picked without replacement from {x: 7, p: 4, a: 1, m: 1, n: 4}?
7/170
Three letters picked without replacement from qmx. Give prob of picking 3 q.
0
Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {h: 2, z: 1, q: 1, o: 3}.
1/7
Two letters picked without replacement from oaoddddadododoo. What is prob of picking 2 a?
1/105
Three letters picked without replacement from hahahqmaamabbmbhabz. Give prob of picking 1 m, 1 z, and 1 a.
6/323
What is prob of picking 1 j and 1 h when two letters picked without replacement from {c: 1, j: 1, h: 2, f: 1, k: 1, l: 1}?
2/21
Four letters picked without replacement from zvzzvhvv. What is prob of picking 4 v?
1/70
What is prob of picking 2 j and 2 m when four letters picked without replacement from {p: 2, s: 1, m: 2, b: 7, g: 1, j: 1}?
0
Three letters picked without replacement from {y: 5, t: 8}. What is prob of picking 1 t and 2 y?
40/143
Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {r: 1, m: 3, d: 4, l: 1, f: 6}.
4/105
Two letters picked without replacement from {p: 1, m: 1, n: 9}. Give prob of picking 1 m and 1 p.
1/55
What is prob of picking 2 d and 2 f when four letters picked without replacement from rfkfrurffddfdd?
60/1001
What is prob of picking 1 a, 1 k, and 1 b when three letters picked without replacement from {a: 1, b: 3, u: 2, k: 10, j: 3}?
10/323
Three letters picked without replacement from {d: 8, e: 4, b: 1}. What is prob of picking 3 d?
28/143
Two letters picked without replacement from ccaciacb. Give prob of picking 1 i and 1 c.
1/7
Calculate prob of picking 2 u when two letters picked without replacement from {u: 10, v: 10}.
9/38
Two letters picked without replacement from ttbbttltbb. What is prob of picking 1 b and 1 l?
4/45
Two letters picked without replacement from {o: 1, i: 4, p: 6, t: 5, b: 3, m: 1}. Give prob of picking 2 i.
3/95
Calculate prob of picking 2 d when two letters picked without replacement from {w: 2, d: 10}.
15/22
Three letters picked without replacement from {b: 2, d: 10, o: 6}. Give prob of picking 2 o and 1 b.
5/136
What is prob of picking 2 a when two letters picked without replacement from {c: 1, d: 1, j: 2, r: 2, a: 2}?
1/28
Calculate prob of picking 1 o and 3 z when four letters picked without replacement from {o: 3, z: 5, b: 8}.
3/182
Calculate prob of picking 2 i and 1 r when three letters picked without replacement from {r: 1, i: 3, p: 1}.
3/10
Three letters picked without replacement from xiinxxzxxm. What is prob of picking 1 i, 1 z, and 1 x?
1/12
What is prob of picking 4 z when four letters picked without replacement from zzdzzdzz?
3/14
What is prob of picking 2 c when two letters picked without replacement from {c: 3, a: 4, w: 2, g: 2}?
3/55
What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 3, x: 8}?
24/55
Two letters picked without replacement from {z: 1, s: 2, q: 2}. Give prob of picking 1 s and 1 q.
2/5
Two letters picked without replacement from {p: 12, v: 7}. What is prob of picking 2 p?
22/57
Three letters picked without replacement from {k: 5, x: 10, h: 4}. What is prob of picking 3 h?
4/969
Two letters picked without replacement from {u: 4, w: 4, a: 5, k: 3, s: 1, i: 1}. Give prob of picking 1 u and 1 a.
20/153
Calculate prob of picking 1 o and 1 n when two letters picked wit | {
"pile_set_name": "DM Mathematics"
} |
+ 3*w + 12 = 5*b. Is p(b) a prime number?
False
Let i(u) = -132*u**2 + 2. Let q be i(-2). Let z = -349 - q. Is z composite?
True
Let p(n) = n**3 - 2*n**2 - 3*n + 4. Let m be p(5). Suppose 2*v - 4*v + 4 = 0. Suppose v*x + 159 = 3*t, 2*x = -t - x + m. Is t a composite number?
True
Let o = 2371 + -1322. Is o prime?
True
Let d(g) = 4*g**3 + 6*g**2 - 5*g - 2. Let j be ((-2)/4)/((-1)/10). Is d(j) prime?
False
Let z(o) = 1 - 2*o + 0 - 6 + o**2. Is z(-4) composite?
False
Let p(d) = -7 - 3*d**3 - d**3 - 2*d**3 + 5*d**3 + 2*d + 6*d**2. Let i be p(6). Suppose i*g - 30 = 85. Is g prime?
True
Let g(t) be the first derivative of t**2/2 - t - 2. Let p be g(1). Suppose 4*d + d - 235 = p. Is d prime?
True
Let g = 183 + 134. Is g a prime number?
True
Let m(j) = -j**2 + j + 3. Let g = 4 + -6. Let z = 2 + g. Is m(z) composite?
False
Is -121*(-2)/(0 + 2) a composite number?
True
Suppose y - q = -11, -2*y + q = -3 + 20. Let d be -1*0*(-3)/y. Suppose d = -3*b + 35 + 70. Is b prime?
False
Let s(l) = 3*l**2 - 6*l - 2. Is s(7) prime?
True
Let l(z) = z. Let j be l(5). Suppose -u + 1 = -j. Suppose -u*n - 2*t + 78 = -2*n, 2*n - 3*t - 51 = 0. Is n a composite number?
True
Suppose 0 = -2*q - q + 99. Suppose s + q + 81 = -5*f, -f - s - 26 = 0. Let p = 1 - f. Is p composite?
False
Suppose -2*u - 2*l + 2394 = 0, 2*u - 5*u = -5*l - 3575. Is u prime?
False
Let t be -6*(21/6 + -2). Is (12/t)/((-4)/222) a prime number?
False
Let j(h) be the second derivative of h**5/20 + h**4/12 + 143*h**2/2 + 8*h. Is j(0) a prime number?
False
Suppose 4*w - 2 = 10, 2*o - 5*w = -9. Suppose 0 = o*n - y - 4*y - 179, -4*n = 3*y - 200. Is n composite?
False
Suppose 5*q - 3*u - 5752 = -0*u, -u = -3*q + 3452. Is q prime?
True
Suppose -10*o = -12*o - 516. Let z = -179 - o. Is z a composite number?
False
Let a be (2/6)/(5/6555). Suppose -q - 2*o = -9, -4*q + 3*o + 21 = 6*o. Suppose q*r - a = -t, 588 = 5*r - r + 4*t. Is r a prime number?
False
Suppose 1101 = -3*s + 6*s. Is s composite?
False
Let q(w) = 11*w**2 - w - 13. Is q(14) composite?
False
Let q = -6 + 11. Suppose 2*x - 2*y = 6, -4*x + 1 + 7 = -q*y. Suppose v = 8 + x. Is v a prime number?
False
Let p(x) = 8*x + 7. Let w(c) = 4*c + 3. Let h(u) = -6*p(u) + 13*w(u). Let v be h(4). Suppose -4*y = v - 89. Is y a composite number?
False
Let t be 162 - (-3 + 5 - -1). Let n = t + 92. Is n a composite number?
False
Suppose -l + 124 = 3*l. Is l a prime number?
True
Let f(q) = -299*q - 21. Let x be f(-6). Suppose -3*j - 2*i + 1753 = 0, -6*j + 3*i + x = -3*j. Is j a composite number?
False
Let y(l) = 3*l + 18. Let f(c) = -c - 6. Let n(b) = -17*f(b) - 6*y(b). Let p be n(-4). Is 4/p*111/(-6) a prime number?
True
Let q(h) = -9*h - 19. Let w be q(-8). Let u = 66 + w. Is u prime?
False
Let f(q) = 59*q - 4. Let r be f(4). Let w = -106 - -255. Let l = r - w. Is l a composite number?
False
Let p(w) = 52*w**2 + 2*w - 1. Is p(4) prime?
True
Let j be (-2 - 3/(-3)) + -2024. Let d be 3/2 + j/(-10). Suppose -3*p - 12 = 0, 3*p + d = 4*f + 7*p. Is f composite?
True
Let u(j) = -4*j**3 - 3*j**2 - j - 5. Is u(-3) composite?
False
Let q = 747 + -524. Is q prime?
True
Let w(s) = s + 11. Let q be w(-9). Suppose 5*k = 37 - q. Is k a prime number?
True
Is 5 + -6 + -1 + -1 + 1216 a prime number?
True
Let n(h) = -3 + 1 + 3 + h + 5*h**2. Is n(2) a prime number?
True
Let r(h) = h**3 - 3*h**2 + 2*h - 4. Let v be r(3). Let a(u) = 36*u**3 + u**2 + 1. Is a(v) a composite number?
False
Suppose 113 = -3*f - 4*m - 3, 3*m + 117 = -3*f. Let w = f - -197. Is w prime?
True
Suppose 22 = -2*b + 5*x + 3, 3 = x. Let o = b + 6. Suppose 2*p = -5*h + 50 + 191, o*p + 155 = 3*h. Is h prime?
False
Let m = 79 + -145. Let k = m - -119. Is k a prime number?
True
Let d(w) = -4 + 11*w + 8*w + 5. Is d(2) a composite number?
True
Let x be (-1 - -2)/((-2)/58). Let k = -12 - x. Suppose t - 20 = k. Is t prime?
True
Is (41 - (1 - 0)) + -3 prime?
True
Let n be 5*(18/5 - 3). Suppose -n*b - 4435 = -8*b. Is b prime?
True
Let v(h) = -9 + 7*h**2 + 2*h - 4*h - h. Is v(-7) composite?
True
Let f(j) = -7*j + 3*j**3 - j**3 - j**3 - 4 + 5*j**2. Let o be f(-6). Suppose o*q = 70 - 26. Is q a prime number?
False
Let l be 294 - (2 + -3 + 4). Let u(j) = -74*j. Let m be u(1). Let a = l + m. Is a a prime number?
False
Let l(c) = 117*c + 2. Let a be l(2). Suppose -5*p + a = -p. Is p a prime number?
True
Let l(c) be the third derivative of c**6/120 - c**5/20 + c**4/6 - c**3/6 + 3*c**2. Is l(7) a composite number?
False
Suppose 0 = -o + 3*o - 4. Suppose 0 = -g + 80 - o. Suppose -r - r = -g. Is r prime?
False
Let c = 970 + -664. Let j(w) = -3*w - 5. Let i be j(-3). Suppose -c = -i*q + 50. Is q composite?
False
Let c = -3 - -3. Is -3 - c - (3 + -16) a composite number?
True
Let r = 243 - 167. Let u = r + -54. Is u a prime number?
False
Suppose -741 = -3*l - 0*l. Is l composite?
True
Let x = -486 + 877. Is x a composite number?
True
Let h(y) = -7*y + 2. Let z be (3 - 8) + 3 - 3. Let k be h(z). Let v = k - 18. Is v prime?
True
Suppose 5*i + 2*q - 10 = 5*q, 0 = i - q - 2. Suppose -i*f - 5 = 3*f. Is f/(-2) - (-101)/2 a prime number?
False
Let c be 6/4 + (-18)/12. Suppose -k - k + 3*j + 239 = 0, -k + 5*j + 130 = c. Is k a prime number?
False
Suppose -3*i + i - 127 = -5*h, 39 = h + 3*i. Let q be -12*(h/12 + -1). Is 10/(-5)*q/2 composite?
True
Let k(a) = -a - 4*a + 0*a + 2*a**2 - 7. Let q be k(5). Let g = 31 - q. Is g a composite number?
False
Let s be 5/(5/2)*-2. Let t be 2/s*(-2 - -2). Suppose t = 5*r - 166 - 79. Is r prime?
False
Suppose -13623 = -7*u + 1798. Is u a composite number?
False
Suppose -3*r + 5*r + 244 = 0. Suppose 25 = -5*h - 5*f + 2*f, 0 = 4*h + 4*f + 12. Is r/h - (-2)/(-8) a composite number?
True
Let q be (-2)/5 + 1568/20. Let m = q + 148. Suppose b = -b + m. Is b a prime number?
True
Suppose -2*l + 4*f + 278 = 0, 5*l = 2*f + 3*f + 710. Is l prime?
False
Let f = 21 - 3. Suppose 0 = u - 182 + f. Suppose -3*z + k = -u, -z = z - 3*k - 121. Is z prime?
True
Suppose 2*z - 5*w + 94 = -0*z, -3*w + 94 = -2*z. Suppose -314 = f - 5*f - a, 0 = 5*f + a - 392. Let p = z + f. Is p composite?
False
Suppose -3*u + 2*u = -4. Suppose u*v + r = 2*r + 73, v - 4*r = 7. Is v composite?
False
Let o = -22 - -16. Let s be 4*-6*(-62)/o. Let r = s - -439. Is r a prime number?
True
Let b be (-42)/(-18) - 2/(-3). Let y be (b - 0)/3 + 1. Suppose -30 = -y*d - d. Is d a composite number?
True
Let d(g) = 1164*g**2 + g + 2. Is d(-1) composite?
True
Suppose 2*c - 31 = 157. Is -3 + c/(2 - 1) a prime number?
False
Let c = -550 - -3317. Is c a prime number?
True
Let t be (-369)/45 - (-1)/5. Let b(g) be the second derivative of -g**5/20 - 2*g**4/3 - g**3/2 - 5*g**2/2 - g. Is b(t) composite?
False
Let h(v) be the third derivative of v**8/20160 - v**7/720 + v**6/90 + v**5/60 + v**2. Let n(o) be the third derivative of h(o). Is n(6) a composite number?
False
Suppose -79 = 3*r - 439. Suppose -2*y + 50 = -4*w, 0 = -4*y + 4*w - w + r. Is y prime?
False
Let f = -2 - -2. Suppose f = -4*i + 10 - 6. Is 2 + 162 + (0 - i) composite?
False
Let i(s) = s**2 + 12*s + 10. Let f be i(-10). Suppose -5 - 8 = v. Is (1 + f)*v/3 prime?
False
Suppose 0 = -5*i + 3*i + 3314. Is i a prime number?
True
Let g be (-6)/(-8)*(9 - 1). Let s(l) be the third derivative of -l**6/120 + l**5/10 + l**4/24 + 2*l**3/3 - l**2. Is s(g) a prime number?
False
Let r = 18 + -11. Suppose r - 4 = t. Suppose 51 = -2*i + t*i. Is i a prime number?
False
Is (-3 - -4)/((-1)/(-529)) a prime number?
False
Suppose 6*b - b = 0. Suppose -4*w = -2*t - 38, 2*w + 2*t + 17 - 39 = b. Is w composite?
True
Let j be 4*(-1 + -3 + 3). Is ((-2)/j)/(8/784) composite?
True
Is 1/(-5) + (-2496)/(-30) a composite number?
False
Let m(u) = 13*u**2 - 18*u + 21. Is m(6) prime?
False
Suppose 0 = -u + 4*u - 777. Let k = u + -96. Is k prime?
True
Is 1432/6 + 11/33 composite?
False
Suppose 6*g = g + 5. Let k be g*(1 - 2) - -1. Suppose j + k*j - 22 = 0. Is j a composite number?
True
Is 2/(-4) + 1054/4 a prime number?
True
Suppose -5*c - 3785 = -5*g, -5*g + 3817 = c + 2*c. Is g composite?
False
Let u(n) = -2*n**2 + 33*n - 35. Is u(14) a prime number?
False
Let t(m) = -2*m**3 - 12*m**2 + 3*m + 10. Is t(-7) a composite number?
True
Let j(r) = -r**3 - 6*r**2 - 2*r - 8. Let k be j(-6). Suppose 0 = k*d - 432 + 92. Is d a prime number?
False
Suppose 0 = f | {
"pile_set_name": "DM Mathematics"
} |
first derivative of -4/5*t + 1/10*t**4 - 3 - 1/5*t**2 + 4/15*t**3. Factor y(p).
2*(p - 1)*(p + 1)*(p + 2)/5
Let i be 30/6 - (0 + 0). Factor -3*t**i + 4*t**4 + t**3 + 4*t**5 - 2*t**4.
t**3*(t + 1)**2
Let q be (3/(-6))/((-3)/18). Factor d - d + 3*d**q + 0*d.
3*d**3
Let o = 118/213 - -8/71. Find r, given that -o*r**2 + 4/3*r + 0 = 0.
0, 2
Let r = 40 - 40. Let k(l) be the third derivative of 0*l + r + 0*l**3 - 3*l**2 + 0*l**4 - 1/120*l**5. Factor k(d).
-d**2/2
Let q be 2/3*(-9)/(-3). Suppose 5*y - 4*a - 27 = -0*y, 4*a = -5*y + 3. Factor 10*f + 6*f**2 + 1 + y + 2*f**3 + 2*f**q.
2*(f + 1)**2*(f + 2)
Let s(q) be the third derivative of q**7/4200 - q**6/600 + q**5/200 - q**4/24 + q**2. Let f(i) be the second derivative of s(i). Factor f(d).
3*(d - 1)**2/5
Let b(v) be the second derivative of v**5/20 - 7*v**4/24 + 7*v**3/12 - v**2/2 + 13*v. Factor b(w).
(w - 2)*(w - 1)*(2*w - 1)/2
Factor 2/9*n**4 + 2/9*n**3 + 0*n - 4/9*n**2 + 0.
2*n**2*(n - 1)*(n + 2)/9
Let x(z) = 2*z**4 - 2*z**3 + 5*z**2 + 9*z. Let u(w) = -2*w**4 + 2*w**3 - 4*w**2 - 8*w. Let r(k) = -7*u(k) - 6*x(k). Determine m, given that r(m) = 0.
-1, 0, 1
Let r(g) be the third derivative of -g**5/20 - g**4/4 - g**3/2 + 8*g**2. Factor r(x).
-3*(x + 1)**2
Let o(k) be the second derivative of -k**5/20 - k**4/4 - k**3/3 + 39*k. Determine f, given that o(f) = 0.
-2, -1, 0
Suppose -27*s = -20*s - 35. Solve 3/2*n**2 + 0*n - 3/2*n**4 - 3/2*n**3 + 0 + 3/2*n**s = 0 for n.
-1, 0, 1
Let g(t) = -t**4 + t**3 + 1. Let q be -4*(1 - 10/8). Let y(u) = 2*u**5 - 3*u**4 - u**3 + 4*u**2 - 2*u - 1. Let z(m) = q*y(m) + g(m). Solve z(w) = 0 for w.
-1, 0, 1
Let d = -6 - -3. Let j = -2 - d. Let w(i) = 8*i**3 - 6*i**2 + 12*i - 2. Let z(p) = p**3 + p. Let x(a) = j*w(a) - 6*z(a). Factor x(t).
2*(t - 1)**3
Let d(l) be the first derivative of -l**4/18 - 4*l**3/9 - 4*l**2/3 + 2*l + 1. Let a(k) be the first derivative of d(k). Determine q, given that a(q) = 0.
-2
Find m, given that 6*m - 738*m**3 + m**5 + 723*m**3 + 3*m**2 - 3*m**4 + 8*m**5 = 0.
-1, -2/3, 0, 1
Let p(x) be the first derivative of -7*x**4/20 + 2*x**3 - 18*x**2/5 + 8*x/5 - 6. Suppose p(f) = 0. Calculate f.
2/7, 2
Let o(n) be the third derivative of -n**10/50400 + n**8/11200 + 5*n**4/24 - 4*n**2. Let k(j) be the second derivative of o(j). Factor k(h).
-3*h**3*(h - 1)*(h + 1)/5
Let h(z) = -2 + 4 + 7*z**3 - 4*z**3 + z**2 + 2*z. Let n(w) = -10*w**3 - 4*w - 3*w - 7 - 2*w**2 - 2*w**2. Let u(c) = 7*h(c) + 2*n(c). Factor u(i).
i**2*(i - 1)
Let r(c) = 4*c**3 + 14*c**2 + 23*c + 11. Let p(h) = h**3 - h**2 - h - 1. Let d(q) = p(q) - r(q). Factor d(b).
-3*(b + 1)*(b + 2)**2
Let d be (-13)/(-104) + 30/16. Let s = 3/20 + 1/10. Factor s*r**d - 1/2*r + 1/4.
(r - 1)**2/4
Solve -4/3*m**5 + 8/3*m**3 + 8/3*m**2 - 4/3*m - 4/3 - 4/3*m**4 = 0.
-1, 1
Suppose -10 = -3*g - 2*g. Let w(t) be the second derivative of 1/40*t**5 - 2*t + 1/12*t**3 - 1/12*t**4 + 0 + 0*t**g. Factor w(r).
r*(r - 1)**2/2
Let o(k) be the third derivative of -k**6/360 - k**5/45 - k**4/24 + k**2 - 5*k. Factor o(d).
-d*(d + 1)*(d + 3)/3
Suppose -5*j = s + 2, 2*s = -j - 3*s - 10. Factor -4/9*x**4 - 4/9*x**3 + 0*x + 0*x**2 + 35/9*x**5 + j.
x**3*(5*x - 2)*(7*x + 2)/9
Let j(f) be the third derivative of -f**7/4200 - f**6/1200 + f**4/24 + 2*f**2. Let x(h) be the second derivative of j(h). Factor x(y).
-3*y*(y + 1)/5
Suppose 8 = 2*n - 2. Suppose 2*a + n = -5*w - 1, 15 = -4*w - 5*a. What is d in 0*d + 2/5*d**3 + w - 2/5*d**2 = 0?
0, 1
Let y(s) = s**2 - 4*s + s + 2*s + 2*s. Let i be y(1). Factor 4/3*j + 0*j**i - 4/3*j**3 - 2/3 + 2/3*j**4.
2*(j - 1)**3*(j + 1)/3
Suppose 4*t + 4*p = 1 - 9, -3*t - 5*p = 10. Let l(g) be the third derivative of -1/9*g**3 - 1/60*g**5 + t + 5/72*g**4 + 0*g - g**2. Factor l(w).
-(w - 1)*(3*w - 2)/3
Let n(p) be the third derivative of 0 + 0*p**6 - 1/105*p**7 + 0*p**5 - 1/336*p**8 - 3*p**2 + 0*p**3 + 0*p**4 + 0*p. Factor n(b).
-b**4*(b + 2)
Find i such that -3*i**2 - 14*i + 7*i**2 - 2*i - 7 + 19 = 0.
1, 3
Find c, given that 51*c**4 + 2*c**3 - 24*c**4 - 25*c**4 = 0.
-1, 0
Suppose -3*q + 0*q + 33 = 0. Find p, given that -2*p - 16*p**3 + 6*p**4 + q*p**2 + 5*p**4 - 4*p**4 = 0.
0, 2/7, 1
Let w(z) be the second derivative of z**6/90 + 4*z**5/45 + z**4/6 - 9*z**2/2 - 8*z. Let m(h) be the first derivative of w(h). Factor m(y).
4*y*(y + 1)*(y + 3)/3
Let i(x) = -4*x**2 + 2*x - 6. Let d(y) = y**3 + 9*y**2 - 3*y + 11. Let j be (-44)/6*(-15)/10. Let w(b) = j*i(b) + 6*d(b). Let w(m) = 0. What is m?
-1, -2/3, 0
Let n(x) = -x + 13. Let t be n(10). Solve -2*q**2 - 6*q + 6*q**t - 2*q**4 + 0*q**4 - 4 + 8 = 0.
-1, 1, 2
Let z be 12/5 - (-12)/20. Factor -3*c**5 + 5 - 5 + 2*c**5 + c**z.
-c**3*(c - 1)*(c + 1)
Let n(b) be the second derivative of b**4/6 + 8*b**3/3 + 16*b**2 + 7*b. Factor n(r).
2*(r + 4)**2
Determine g, given that 5*g**4 - 10 + 9*g - 5*g**3 + 132*g**2 + 5*g - 147*g**2 + 11*g = 0.
-2, 1
Let -465 + i**4 + i**2 + 2*i**3 + 465 = 0. What is i?
-1, 0
Let c(f) be the first derivative of -f**8/3360 + f**7/840 + f**6/720 - f**5/120 + 2*f**3 - 2. Let a(g) be the third derivative of c(g). Factor a(d).
-d*(d - 2)*(d - 1)*(d + 1)/2
Let o(j) = -7*j**4 - j**3 - j**2 + j. Let u(b) = -6*b**4. Let k(h) = -3*o(h) + 4*u(h). Determine i, given that k(i) = 0.
-1, 0, 1
Let u(s) be the first derivative of -s**4/20 - 2*s**3/5 - 6*s**2/5 - s - 5. Let j(l) be the first derivative of u(l). Find x such that j(x) = 0.
-2
Let x(r) = -2*r**3 - 2*r**2 + 2*r + 2. Let n be x(-2). Suppose 2*k - n = 3*k + 2*w, -4*k - 6 = 2*w. Suppose k*i**2 - 2*i**2 - 3*i + i = 0. Calculate i.
-1, 0
Let v(w) be the first derivative of -w**6/135 + w**4/54 - 4*w - 3. Let r(y) be the first derivative of v(y). Factor r(u).
-2*u**2*(u - 1)*(u + 1)/9
Let y(k) be the third derivative of k**9/1008 + 3*k**8/560 + 3*k**7/280 + k**6/120 - 2*k**3/3 + k**2. Let c(t) be the first derivative of y(t). Factor c(g).
3*g**2*(g + 1)**3
Let l(n) = -n**3 + 2*n**2 - 1. Let a be l(-1). Let 0*f - f - 2*f**3 - 4*f**a - f = 0. What is f?
-1, 0
Let s be (-1 - 2)/((-9)/21). Let j be 0/s*1/2. Factor 2/3*g**4 - 2/3*g**3 + 0*g**2 + 0*g + j.
2*g**3*(g - 1)/3
Let p be 8/(-28) - 46/(-14). Factor c + 2*c**2 + 2 - 2*c**3 - p - c**4 + 0 + c**5.
(c - 1)**3*(c + 1)**2
Let x be 9/(-21) - (155/56)/(-5). Let z(u) be the third derivative of 3*u**2 + 0*u**3 + 1/20*u**5 - x*u**4 + 0*u + 0. Let z(p) = 0. Calculate p.
0, 1
Solve -12*d**2 + 12*d**3 + 8 - 8 + 4*d + 20*d**4 - 16*d**5 - 8*d**2 = 0.
-1, 0, 1/4, 1
Factor -10*y - 23*y**2 + 45*y**2 - 27*y**2.
-5*y*(y + 2)
Let p(t) be the third derivative of 0 + 0*t - 1/20*t**5 - 2*t**2 + 1/2*t**3 + 0*t**4. Determine v, given that p(v) = 0.
-1, 1
Factor -3/5*v**2 + 21/5*v - 21/5*v**3 + 3/5.
-3*(v - 1)*(v + 1)*(7*v + 1)/5
Factor 4/9*u**3 + 0*u**2 - 4/9*u + 2/9 - 2/9*u**4.
-2*(u - 1)**3*(u + 1)/9
Factor -1/4*v**2 + 1/4 - 1/4*v + 1/4*v**3.
(v - 1)**2*(v + 1)/4
Let z(k) = k. Let q(r) = 4*r**2 + 29*r + 36. Let c(i) = -q(i) + 5*z(i). Let c(u) = 0. Calculate u.
-3
Let o(x) be the second derivative of -3*x + 0 + 0*x**2 + 0*x**3 + 1/60*x**5 + 0*x**6 + 0*x**4 - 1/126*x**7. What is w in o(w) = 0?
-1, 0, 1
Suppose 2*g - 3 = 5. Let y be 20/6 - (-4)/(-12). Determine h so that -5*h**y - 2 + g*h**3 + 3*h**2 + 2*h**3 - 2 = 0.
-2, 1
Let r(u) be the first derivative of 1 - 3/10*u**5 + u**2 - 1/2*u**4 - 1/3*u**3 + 0*u. Let i(m) be the second derivative of r(m). Suppose i(v) = 0. Calculate v.
-1/3
Let j(t) be the second derivative of 0*t**2 + 3*t + 0*t**3 + 0*t**4 + 1/35*t**5 + 0. Factor j(l).
4*l**3/7
Suppose -o + 8 = -2. Suppose 17*x = 12*x + o. Find z such that 0 + 0*z - 1/3*z**x = 0.
0
Let c be ((-4)/10)/((-1)/5). Suppose 5 + s**2 + 0*s**c + 2*s - 1 - 3 = 0. Calculate s.
-1
What is i in -26*i**3 + 169 + 12*i**4 - 8*i - 169 - 2*i**5 + 24*i**2 = 0?
0, 1, 2
Let y = -13/4 - -15/4. Factor 1/2 - b + y*b**2.
(b - 1)**2/2
Let i(g) = 6*g. Let a be i(1). Factor -a*d + 7*d**2 - d**2 - 3*d - 3*d**2.
3*d*(d - 3)
Let l(w) be the second derivative of w**9/15120 + w**8/3360 - w**6/360 - w**5/120 - w**4/4 - 2*w. Let p(v) be the third derivative of l(v). Factor p(m).
(m - 1)*(m + 1)**3
Let y = -21 - -24. Let p(f) be the second derivative of 0 + 1/21*f**7 - 2*f**2 - f - 2/15*f**6 - 1/5*f**5 + 1/3*f**y + 2/3*f**4. Find i, given that p(i) = 0.
-1, 1, 2
Suppose 7 + 3 = 5*o. Factor 3*t**o + t**3 - 5*t**2 + t + | {
"pile_set_name": "DM Mathematics"
} |
*a + 2 - 2. Let d(l) = 3*l. Determine d(y(m)).
-6*m
Let f(r) be the first derivative of -304*r**3/3 + 219. Let g(o) = -2*o. What is f(g(n))?
-1216*n**2
Let z(o) be the second derivative of 0 + 7*o + 0*o**2 + 0*o**3 + 5/4*o**4. Let b(v) = 4*v. What is z(b(a))?
240*a**2
Let a(z) = -48*z**2 + 33. Let i(n) = 6*n**2 - 4. Let s(v) = 4*a(v) + 33*i(v). Let b(d) = -d**2. Calculate s(b(t)).
6*t**4
Let t = 6 - 4. Let p(j) = -2*j + t*j - j**2. Let l(g) = 4*g**2 - 3*g. Let d(h) = 9*h**2 - 7*h. Let u(w) = -3*d(w) + 7*l(w). Determine u(p(r)).
r**4
Let v(o) = 406568*o**2 - 6*o. Let d(b) = 3*b. Determine v(d(g)).
3659112*g**2 - 18*g
Let u(q) = 21*q**2. Let c(a) = 26*a - 4. Let d(t) = 497*t - 77. Let n(m) = 77*c(m) - 4*d(m). What is n(u(s))?
294*s**2
Let q(n) be the third derivative of -n**5/60 - 2*n**2. Let c(w) be the first derivative of 1 + 1 - 4 + 2*w**3 - 2. Determine c(q(j)).
6*j**4
Let y(t) = t + 12. Let k be y(-5). Let z(o) = 3*o + 6*o + 0*o - k*o. Let j(l) = 18*l**2. Calculate j(z(r)).
72*r**2
Let i(r) = 148*r. Let h(z) be the first derivative of -z**2/2 + 136. Calculate h(i(p)).
-148*p
Let r(g) = 15975 - 15975 - 4*g**2 - 18*g. Let x(a) = -2*a**2. Give x(r(h)).
-32*h**4 - 288*h**3 - 648*h**2
Let l(q) = -70*q**2. Let b(u) = -225*u**2. What is l(b(x))?
-3543750*x**4
Let a(v) = 4*v**2. Let m(c) = 5 - 5 + 1369023*c - 1369482*c. Calculate a(m(n)).
842724*n**2
Let u(c) = 10*c**2 - 2*c. Let i(v) = 6*v**2 - 33. Let o(t) = t**2 - 6. Let j(y) = 2*i(y) - 11*o(y). What is j(u(a))?
100*a**4 - 40*a**3 + 4*a**2
Let h(j) = 3*j**2. Let s(z) = 176*z. Let i(p) be the first derivative of -25*p**2/2 + 5. Let y(o) = 22*i(o) + 3*s(o). Calculate y(h(u)).
-66*u**2
Let b(j) be the first derivative of 13*j**3 + 222. Let y(x) = 10*x. Calculate b(y(l)).
3900*l**2
Let a(b) be the first derivative of 2*b**3/3 - 19. Let y(h) = -27*h**2 - 13*h**2 + 17*h**2. What is y(a(f))?
-92*f**4
Let k(y) be the second derivative of 0 + 14*y + 0*y**2 - 1/6*y**4 + 0*y**3. Let d(i) = i. Determine k(d(q)).
-2*q**2
Let n(w) = w - 10. Let k(m) = -5073*m**2. Determine n(k(a)).
-5073*a**2 - 10
Let i(k) = 20*k**2. Let x(s) = -162*s. Calculate x(i(u)).
-3240*u**2
Let u(h) = -11*h + 2. Let s be (13 - 4 - 6) + 3/1. Let f(v) = -8*v + 4*v + s*v. Calculate f(u(y)).
-22*y + 4
Let n(y) = 4*y**2. Let h(j) = -3. Let q(m) = 7*m + 9. Let c(l) = -4*l - 4. Let i(v) = 5*c(v) + 3*q(v). Let b(g) = -7*h(g) - 3*i(g). What is b(n(d))?
-12*d**2
Let o(i) = i**2 - 2*i - 4. Let c be o(4). Let v(w) = -3*w - 2*w + 7*w + c*w. Let g(s) = 5*s**2 - s**2 - s**2. What is g(v(d))?
108*d**2
Let h(l) = -3492595*l. Let x(w) = -w**2. Give x(h(a)).
-12198219834025*a**2
Let x(k) = -k + 2. Let a(n) = 4*n - 6. Let c(t) = -a(t) - 3*x(t). Let h(u) be the third derivative of -u**4/4 + 5*u**2. Determine c(h(v)).
6*v
Let p(l) = 10*l**2. Let o = 1747 - 1117. Let z(f) = 2*f**2 + 630*f - o*f. What is p(z(q))?
40*q**4
Let c(i) = -2*i**2. Let z(l) = l**2 + 25*l - 51. Let g be z(-27). Let a be (-56)/(-10) - 2/(-5). Let q(v) = a + g*v - 3 - 3. Give q(c(n)).
-6*n**2
Let g(o) = -1325*o + 2649*o + 0 + 0 - 1323*o. Let y(j) = -73*j + 1. What is y(g(c))?
-73*c + 1
Let u(v) = 2*v. Let s = 104 - 104. Let x(c) be the third derivative of 3*c**2 - 1/15*c**5 + 0 + s*c**3 + 0*c**4 + 0*c. Determine x(u(a)).
-16*a**2
Let k(v) be the third derivative of v**4/24 + 2*v**2 - 62*v. Let a(c) = 10*c**2 + 7. Determine k(a(t)).
10*t**2 + 7
Let r(n) = 188*n**2 - 274*n. Let c(v) = -v. What is c(r(g))?
-188*g**2 + 274*g
Let z(o) = 52 + 47 - 99 + 57*o. Let l(t) = -t. Determine l(z(u)).
-57*u
Let z(m) = 2*m**2 - 5*m**2 + 4*m**2. Let i(f) be the third derivative of 2*f**5/15 - f**2 + 6. What is z(i(q))?
64*q**4
Let m(i) be the first derivative of 5*i**2 + 149. Let s(o) = -8*o. Determine m(s(r)).
-80*r
Let f(p) = 112*p + 108*p - 222*p. Let h(b) = b**2 - 37. Determine h(f(o)).
4*o**2 - 37
Let u(b) = 3*b**2 + 136*b + 1. Let v(k) = -41*k. What is u(v(y))?
5043*y**2 - 5576*y + 1
Let w(g) = 81*g**2 - 2824 + 2824. Let u(b) = -3*b. Determine u(w(v)).
-243*v**2
Let t(w) = -2*w - 3*w + 9*w. Let m(g) be the first derivative of 0*g + 0*g**2 - 3 + 4/3*g**3. Determine t(m(k)).
16*k**2
Let w(n) = 7*n. Let g be (2 - 0/8) + 0/2. Let p(b) be the third derivative of 0*b + 8*b**g + 1/12*b**4 + 0*b**3 + 0. Calculate p(w(x)).
14*x
Let t(y) = y**2. Let p = 67 + 0. Let i(c) = 28*c**2 - p*c + 67*c - 10*c**2. What is t(i(v))?
324*v**4
Let s(c) = -1. Let n(d) = -d - 1. Let u(y) = -y + 1. Let f be u(-1). Suppose -6 = f*j - 4. Let r(v) = j*s(v) + n(v). Let o(h) = 10*h. Calculate o(r(i)).
-10*i
Let m = 10 + -3. Let o(k) be the first derivative of -9*k**2/2 + 7*k - 200. Let t(p) = -4*p + 3. Let i(j) = m*t(j) - 3*o(j). Let f(g) = -9*g. What is f(i(x))?
9*x
Let k(d) = 2*d**2. Let g(s) be the first derivative of -s**2 + 104*s - 61. Determine g(k(r)).
-4*r**2 + 104
Let v(a) = 37*a + 8. Let l(o) = 3. Let f(r) = 2*l(r) - v(r). Let x(c) = c. Determine f(x(w)).
-37*w - 2
Let a(m) be the second derivative of 8*m**3/3 + 22*m. Suppose -6*i + 3*i + 1584 = 0. Let b(n) = -528 - 2*n**2 + i. Calculate a(b(o)).
-32*o**2
Let p(y) = -3*y**2. Suppose 9 = -5*a + 24. Suppose -a*u - 18 = -5*u. Let v(j) = 7*j**2 - j - u*j**2 + j. Calculate p(v(m)).
-12*m**4
Let z(g) = -g. Let i(h) = 828*h + 31. What is i(z(r))?
-828*r + 31
Let p(i) be the third derivative of -i**4/12 + 4*i**2. Let w(j) = 35*j - 45*j + 58*j. Give w(p(h)).
-96*h
Let h(k) = -2*k. Let w(b) = -b - 3459. Give h(w(t)).
2*t + 6918
Let o(b) = -2*b. Let x(m) be the second derivative of -193*m**3/3 + 17*m - 2. Give x(o(n)).
772*n
Let o(t) = t**3 - 4*t**2 + 5*t - 6. Let j be o(4). Let u(y) = 35*y - 7*y - j*y - 16*y. Let z(g) be the first derivative of 3*g**2/2 - 1. Determine u(z(k)).
-6*k
Let v(c) = -15*c**2. Let s = 14 + -9. Let k(d) = -d + 7. Let m be k(s). Let j(y) = 5*y**2 - 15*y**m + 12*y**2. What is j(v(r))?
450*r**4
Let t(r) = -9*r**2 + 91*r. Let o(h) = 20*h - 2. What is t(o(z))?
-3600*z**2 + 2540*z - 218
Let h(y) be the second derivative of 0*y**3 + 0 + 0*y**2 - y + 11/12*y**4. Let f(s) = -2*s. What is f(h(j))?
-22*j**2
Let t(f) = -f**2 + 0*f**2 + 2*f**2. Let v(i) = 9*i - 5*i + 5*i + 23*i**2 + 9. Let m(k) = 6*k**2 + 2*k + 2. Let n(w) = 9*m(w) - 2*v(w). Give t(n(s)).
64*s**4
Let i(t) = -t. Let y(c) = 9*c - 29*c + 17*c + 20 - 8. Calculate i(y(s)).
3*s - 12
Let u(d) = 2*d**2. Let c(l) be the third derivative of -l**4/8 + 4*l**3 - 122*l**2. What is c(u(r))?
-6*r**2 + 24
Let b(y) = y**2. Let x(s) = 7 - s**2 + 5922*s - 5922*s. What is b(x(d))?
d**4 - 14*d**2 + 49
Let m(j) = 2*j. Let a(f) be the first derivative of -4*f**2 + 3*f - 1. Let x = -57 + 54. Let o(n) = 7*n - 2. Let l(g) = x*o(g) - 2*a(g). Give m(l(v)).
-10*v
Let z(l) = -5*l - 8. Let w(f) = 14*f**2 - 6. Determine w(z(i)).
350*i**2 + 1120*i + 890
Let a(s) be the third derivative of -s**4/24 + 418*s**2. Let f(n) be the first derivative of 25*n**2/2 - 3. Calculate f(a(g)).
-25*g
Let x(z) = -29*z + 51. Let m(d) = 768*d. Give m(x(p)).
-22272*p + 39168
Let g(o) = o**2 - 5*o - 5. Let r(n) = n**2 - 4*n - 4. Let i(q) = -4*g(q) + 5*r(q). Let w(t) be the first derivative of 7*t**3/3 + 3. Determine i(w(x)).
49*x**4
Let f(h) = -4193*h**2. Let n(x) = -3*x. What is f(n(m))?
-37737*m**2
Let n(k) = -103924*k. Let v(q) = -q. Determine n(v(d)).
103924*d
Let z(d) be the third derivative of -d**8/6720 + 11*d**5/60 - 3*d**2. Let r(n) be the third derivative of z(n). Let m(x) = -5*x. Calculate m(r(p)).
15*p**2
Let o(m) be the second derivative of -m**3 + 23*m. Let j(d) be the second derivative of d**4/4 - 2*d. Calculate j(o(s)).
108*s**2
Let g(o) = -168 - 3*o + 0*o + 168. Let h(q) = 215*q**2. Give h(g(j)).
1935*j**2
Let l be (1 + -1)/(0 + 1). Let n(d) = -d + l + 0. Let h(y) = y**2 - 6*y + 2. Let f(x) = -6*x**2 + 27*x - 9. Let r(p) = -4*f(p) - 18*h(p). Determine r(n(a)).
6*a**2
Let t(i) = -22*i + 0 + 0 + 49*i - 29*i. Let m(d) = 5*d - 16. Determine m(t(v)).
-10*v - 16
Let c(s) be the second derivative of 3*s**4/2 + 2*s. Let i(a) = -3*a + 4 + 6 - 10 + 7. Let x(d) = 2*d - 5. Let m(q) = 5*i(q) + 7*x(q). What is m(c(k))?
-18*k**2
Let b(h) = 4*h. Let u(p) be the second derivative of -p**3 + 56*p. What is b(u(s))?
-24*s
Let i(m) = 1 + 189*m - 191*m - 1. Let p(n) = 168*n**2. Determine i(p(y)).
-336*y**2
Let p(a) = -10*a - 24. Let f(z) = 4*z + 9. Let b(j | {
"pile_set_name": "DM Mathematics"
} |
(-6)). Let x = -7 - -6.8. Which is the third biggest value? (a) u (b) -4/9 (c) x
b
Let y = 36 - 40. Let d = 0.6 - 0.2. Which is the third smallest value? (a) y (b) d (c) -5
b
Let b = 1.5 - 7.5. What is the third smallest value in 0.02, b, 3/2?
3/2
Let p = -0.85 - -0.7. Let j = p + 0.05. Which is the third biggest value? (a) -2/15 (b) j (c) 1/2
a
Let l = -0.6 + 0.5. Let u = l - -0.1. Let f = u + 0. Which is the third biggest value? (a) 2 (b) -4 (c) f
b
Let v = 7.8 + -7.8. Let w = 0.04 + -0.44. Which is the biggest value? (a) v (b) w (c) 4
c
Let j = -10 + 9. Let k = j - -0.7. Which is the third biggest value? (a) k (b) 1 (c) -4
c
Suppose 0*c - 36 = -4*c + 4*x, 15 = c - 3*x. Let i = c - 9. Let b be ((-1)/i)/(1/(-3)). What is the third biggest value in -2, b, 2/9?
-2
Let j = -56 + 56. Let b = -2090/9 - -232. What is the biggest value in b, 3, j?
3
Let r be (72/(-21))/(3/4). Let n = r + 107/28. Let p = 2.9 - 2.6. Which is the smallest value? (a) p (b) 0 (c) n
c
Let m = 0.4 + -0.6. What is the smallest value in m, 5, -2/7?
-2/7
Let w = 7 - 10. Let l be 0/1 - (-4)/(-8). Which is the third biggest value? (a) l (b) -1/5 (c) w
c
Suppose -5*m = -z + 3*z + 46, -z + 3*m - 23 = 0. Let n = z - -24. What is the third biggest value in n, -3/2, 4?
-3/2
Suppose -5 = 5*r + 20. Let d = -137/105 + 7/5. Which is the smallest value? (a) d (b) 2/11 (c) r
c
Let z be 26/168 - 5/20. Let m = -6 - -5. Let g be (-1)/(-1 + (-1 - m)). Which is the second biggest value? (a) g (b) z (c) -3
b
Let j(l) = 2*l + 2. Let f be j(-1). What is the smallest value in 2/5, -3, f?
-3
Let u = -6.2 - -1.2. Let i = -0.43 - 0.07. What is the biggest value in i, -1, u?
i
Let u = 0.43 + -4.63. Let o = u - 0.8. What is the third smallest value in -3, 2, o?
2
Let r = 0.2 - 0.1. Let q = r + -3.1. Let d(w) = 2*w + 20. Let l be d(-9). What is the smallest value in l, q, 4?
q
Suppose -2*i = -i - 3. Suppose 4*a - i*y = 60, a - 2*a = -4*y - 15. Suppose -4*t + a = -t. What is the second smallest value in -4, t, 0.1?
0.1
Let g = 1.1 + -0.1. What is the second biggest value in 4, g, 2?
2
Let q = -0.03 + 1.03. Let x = 0.03 + -0.63. Let i = x - -0.2. Which is the biggest value? (a) q (b) i (c) 0
a
Let i = 0.1 - -1.5. Let r = i - 2.6. What is the third biggest value in 1, r, 2/9?
r
Suppose -4*q - 14 = -6*q. Let h = q - 4. Let w be (-2)/(-8)*(-16)/12*-1. Which is the smallest value? (a) w (b) 1 (c) h
a
Let n = 0.5 + -0.6. Let m = 89.08 - 89. What is the second smallest value in m, n, -5?
n
Suppose 3*d + 13 = q - d, 11 = -q - 4*d. Which is the second smallest value? (a) q (b) 0.4 (c) -5
b
Let l = -0.023 - 0.377. Which is the smallest value? (a) 4 (b) -5 (c) -0.5 (d) l
b
Let g = -0.9 + 5.9. Let s = -9 + g. Which is the second biggest value? (a) -0.1 (b) 4 (c) s
a
Let f = -3 + 3.1. Let p(j) = j**3 + 6*j**2 - 6*j + 10. Let d be p(-7). Let i = 1.1 - -2.9. What is the second biggest value in f, i, d?
d
Let o be (-2)/(-8)*(9 + -9). What is the third smallest value in 0.1, 1, o?
1
Let u be -1 - (2 - 105/(-6)). Let v = 21 + u. Which is the biggest value? (a) -2 (b) 3 (c) v
b
Let q = -133 - -137. Let o = -8.3 - -8. Let b = -0.7 - o. What is the second smallest value in 0.5, q, b?
0.5
Let m = -0.118 - 0.182. Let n be 6/7*(-14)/(-9). Which is the third biggest value? (a) 3 (b) n (c) m
c
Let y = -0.077 + -0.423. Let l(q) = -2*q**3. Let d be l(-1). Which is the third smallest value? (a) d (b) -3 (c) y
a
Let x = 5.97 - 6. Let o = x - -0.33. Which is the second biggest value? (a) -5 (b) -3/5 (c) o
b
Let s be (3/(-12))/(8/32). Which is the second smallest value? (a) s (b) 0 (c) 0.2
b
Let i be (3/18)/(12/(-27)). Which is the smallest value? (a) -5 (b) i (c) 3
a
Let y = -2.1 + 0.1. Let s = -2.3 - -2. Which is the third biggest value? (a) -2/11 (b) s (c) y
c
Suppose -4*u + 3*u - 20 = 2*a, -3*u + a - 39 = 0. Let k(x) = x**2 + 15*x + 18. Let m be k(u). What is the second smallest value in m, -1, -0.4?
-0.4
Let v = 12 + -14. What is the second smallest value in v, 2, 5?
2
Let h = -0.05 + -0.95. What is the biggest value in 4, -0.5, h?
4
Let z = -17.8 + 18.3. Let g be (-55)/(-12) - 4/6. Let x = g - 13/4. What is the second biggest value in z, x, 3?
x
Let q = 1.7 - -0.3. Let y = 1 + q. Let h be (-6)/(-3)*(-2)/26. Which is the smallest value? (a) h (b) 5 (c) y
a
Suppose -14 = 54*i - 56*i. What is the smallest value in -1, i, 2/9?
-1
Let c = -0.2 - 0. Let k = c + 0.1. Let j be (-144)/40 + 6/10. What is the biggest value in k, j, -4?
k
Suppose -4*v - 3 = 5. Let f be (-6 + 2)/(1*v). Which is the second smallest value? (a) f (b) -4 (c) 5
a
Let r = -9 + 15. Let g be 9/(-4)*1/r. Which is the biggest value? (a) -0.3 (b) 0 (c) g
b
Let m = 5 + -4. Which is the third biggest value? (a) m (b) 0.5 (c) -5/4
c
Let g = -0.06 - -2.06. Let z = 3 - g. Let x = z - 1.2. Which is the third smallest value? (a) x (b) 0.3 (c) 0
b
Let j(r) = -r**3 + 5*r**2. Let g be j(5). Let m = -531.5 + 532. Which is the second smallest value? (a) g (b) 1/8 (c) m
b
Let n = -124 + 127. Let l = -0.2 - -0.7. What is the third smallest value in n, l, 0?
n
Let y = -0.51 - -0.01. What is the biggest value in y, 0, 5?
5
Let s = 3.99 + 0.01. Let q = -3.08 - -0.08. Which is the second smallest value? (a) -1/4 (b) s (c) q
a
Let d = 10 - 6. Let p = d + -1. Let w = 9 + -5. Which is the second smallest value? (a) p (b) w (c) -5
a
Suppose -z = -6*z + 50. Which is the third smallest value? (a) -5 (b) 0 (c) z (d) -1
b
Let o = -254 + 1274/5. Let i = 0.02 - 8.02. Let s = i + 8.1. Which is the biggest value? (a) s (b) 1/5 (c) o
c
Let f = 0.5 + -0.8. Suppose -4*s = -3*s + 4. Which is the smallest value? (a) f (b) 5 (c) s
c
Let u be 10/(-75) - (-1)/3. Let w = -3.2 - -3. Which is the second smallest value? (a) u (b) -5 (c) w
c
Let y = -1297/7 - -185. Let h = -0.15 + 0.2. Let d = 0.25 + h. Which is the biggest value? (a) 0.4 (b) d (c) y
a
Let z = 21 - 20. Which is the second smallest value? (a) -0.4 (b) -0.36 (c) z
b
Let c = 0 - 5. What is the smallest value in 4, c, -3?
c
Let s = 5.5 - 5. Suppose 0 = -g - 3*g. What is the second smallest value in s, g, 4/3?
s
Let n = 1.2 - -0.6. Let l = n + 1.2. Let y = -0.27 + -0.03. What is the third biggest value in l, y, -0.4?
-0.4
Let m(n) = 163*n**3 - n**2 + n + 1. Let y be m(-1). Let o = -653/4 - y. Which is the second smallest value? (a) -2/5 (b) -3 (c) o
a
Let l = -0.1 - -4.1. Let n = 3.8 - l. Let m = 0.4 - -0.1. Which is the third smallest value? (a) n (b) m (c) -1
b
Suppose 29*q = 15*q + 11*q. Let b be (22/(-2))/(2/(-4)). Suppose 4*i + 3*j - b = 0, 5*j = -5*i - 10 + 40. What is the third biggest value in q, -3/2, i?
-3/2
Suppose 5*j = -5*f + 15, -3*j + 2*j - 2*f + 5 = 0. What is the second biggest value in j, -2/7, 4?
j
Let r be (-2 - (-1 - 5))*(-6)/(-8). Let q = -11 - -6. Let u = q + 2. What is the smallest value in 1/4, r, u?
u
Let u = 10 + -3. Let i = -18 + u. Let r = i + 11.5. What is the biggest value in -0.5, r, -3?
r
Let w = -1 + 0.5. Let p(a) = 5*a - 19. Let m be p(4). What is the second smallest value in w, -5, m?
w
Let r = 0.48 - 0.08. What is the biggest value in 4, -3/5, r?
4
Let c be 2*-1 - (5/(-20) + -4). What is the third biggest value in c, 5, 3/4?
3/4
Let u be (-2)/14*(1 + -2). Which is the smallest value? (a) 0.3 (b) 2 (c) u
c
Let s = 10328/17 + -102464122/168657. Let w = s + 1696495/19842. Let z = 1201/14 - w. Which is the biggest value? (a) -1/5 (b) z (c) 2
c
Let p = 0 + 2. Suppose 0 = 2*y - 4*t - 11 - 7, y + 6 = -t. What is the second biggest value in y, p, 0.5?
0.5
Let t = 57.5 + -57. Which is the third biggest value? (a) 0.2 (b) -1 (c) t
b
Let x = 1503196 - 3945889229/2625. Let f be (-127)/(-250) + (-2)/4. Let i = f - x. Which is the biggest value? (a) i (b) 2/5 (c) -1/3
b
Let n be 0/((-4 - 0)/(-4)). Which is the third smallest value? (a) -2 (b) -0.1 (c) n
c
Let l = 4 - 5.2. Let t = 0.2 + l. Let u(f) = f**3 - 2*f**2 - 7*f - 1. Let p be u(4). Which is the third biggest value? (a) t (b) p (c) -0.2
a
Let i = -0.28 - -0.48. What is the third smallest value in 0.3, 1, i?
1
Let n = -1.7 + 2. Let y = -20/33 - 239/11. Let j = -22 - y. Which is the third smallest value? (a) j (b) 2 (c) n
b
Let s = 0. | {
"pile_set_name": "DM Mathematics"
} |
ue
Is 67741 a prime number?
True
Is 91079 composite?
False
Is 59611 prime?
True
Is 35069 a composite number?
False
Is 18485 composite?
True
Is 36265 a prime number?
False
Is 65551 prime?
True
Is 13229 composite?
False
Is 5197 a composite number?
False
Is 59921 a composite number?
False
Is 108739 a prime number?
True
Is 365047 composite?
True
Is 36833 a composite number?
False
Is 1441 a prime number?
False
Is 1973 composite?
False
Is 176977 a composite number?
False
Is 459139 a composite number?
True
Is 5647 prime?
True
Is 17653 prime?
False
Is 7313 prime?
False
Is 33241 prime?
False
Is 449 prime?
True
Is 190601 prime?
False
Is 69457 a prime number?
True
Is 103195 prime?
False
Is 66739 prime?
True
Is 27397 prime?
True
Is 257947 prime?
True
Is 1824827 prime?
True
Is 29695 composite?
True
Is 7555 a prime number?
False
Is 595501 a composite number?
True
Is 34841 a prime number?
True
Is 18041 composite?
False
Is 133141 prime?
False
Is 55753 a prime number?
False
Is 409163 composite?
False
Is 1873337 composite?
False
Is 15877 composite?
False
Is 1016111 a prime number?
True
Is 457951 prime?
False
Is 20005 prime?
False
Is 133241 a composite number?
False
Is 66835 a composite number?
True
Is 175307 composite?
True
Is 334021 composite?
False
Is 1497235 prime?
False
Is 30902 a prime number?
False
Is 1931 prime?
True
Is 6947 prime?
True
Is 1658179 composite?
True
Is 23173 composite?
False
Is 15133 a prime number?
False
Is 47577 a composite number?
True
Is 4903 a composite number?
False
Is 50429 composite?
True
Is 282197 a composite number?
True
Is 1843255 prime?
False
Is 268123 a composite number?
False
Is 38261 composite?
False
Is 267821 a prime number?
False
Is 262001 a composite number?
True
Is 3805 a prime number?
False
Is 3646 prime?
False
Is 991261 composite?
False
Is 1150837 prime?
True
Is 150387 a composite number?
True
Is 966971 prime?
True
Is 55277 a composite number?
True
Is 524039 composite?
True
Is 31067 prime?
False
Is 198313 prime?
True
Is 897517 prime?
True
Is 76079 prime?
True
Is 810091 a composite number?
False
Is 7534 a composite number?
True
Is 4369 a prime number?
False
Is 169123 a prime number?
False
Is 304493 a composite number?
True
Is 27397 composite?
False
Is 27509 composite?
False
Is 953 prime?
True
Is 441751 composite?
False
Is 4759 a prime number?
True
Is 32183 composite?
False
Is 266333 a composite number?
False
Is 4413 a composite number?
True
Is 8889 a prime number?
False
Is 14347 a prime number?
True
Is 7151 a prime number?
True
Is 109097 composite?
False
Is 11246 composite?
True
Is 322387 composite?
True
Is 39359 a prime number?
True
Is 84887 prime?
False
Is 17519 composite?
False
Is 145931 a composite number?
False
Is 472559 a composite number?
False
Is 6691 a prime number?
True
Is 343127 prime?
True
Is 2893133 a composite number?
True
Is 25841 a composite number?
False
Is 211457 prime?
True
Is 14698 a composite number?
True
Is 747977 composite?
False
Is 80713 a prime number?
True
Is 26141 a composite number?
False
Is 6143 prime?
True
Is 9253 a prime number?
False
Is 22733 composite?
True
Is 6679 a prime number?
True
Is 1012219 composite?
True
Is 22917 a composite number?
True
Is 60397 a prime number?
True
Is 592121 prime?
True
Is 44953 a prime number?
True
Is 7321 a composite number?
False
Is 91961 prime?
True
Is 783169 a composite number?
True
Is 8053 prime?
True
Is 5167 composite?
False
Is 6127 a composite number?
True
Is 1121 composite?
True
Is 731495 a composite number?
True
Is 3366503 a composite number?
True
Is 189239 a prime number?
True
Is 45519 prime?
False
Is 127271 a composite number?
False
Is 398413 a composite number?
True
Is 2390819 a prime number?
True
Is 6389 a prime number?
True
Is 2721847 a prime number?
False
Is 1948207 a prime number?
False
Is 313879 a prime number?
True
Is 98269 a composite number?
False
Is 17846 a prime number?
False
Is 187943 composite?
True
Is 2581829 a composite number?
False
Is 361313 composite?
False
Is 518677 composite?
True
Is 2371 composite?
False
Is 398787 composite?
True
Is 9719 a composite number?
False
Is 258691 a prime number?
True
Is 363719 a prime number?
True
Is 8489 composite?
True
Is 1361 a prime number?
True
Is 18883 a prime number?
False
Is 41671 prime?
False
Is 570329 prime?
True
Is 72817 prime?
True
Is 907 a prime number?
True
Is 15253 composite?
True
Is 40343 a prime number?
True
Is 99949 composite?
True
Is 4203359 a prime number?
False
Is 297793 a prime number?
True
Is 6122 a composite number?
True
Is 39467 a prime number?
False
Is 67793 composite?
True
Is 257891 a composite number?
True
Is 4987 prime?
True
Is 17461 prime?
False
Is 2291 prime?
False
Is 55849 a prime number?
True
Is 205589 prime?
True
Is 209407 a prime number?
False
Is 2147 a composite number?
True
Is 104449 a composite number?
True
Is 1454 composite?
True
Is 4621 a prime number?
True
Is 13217 composite?
False
Is 110419 a prime number?
True
Is 407686 a prime number?
False
Is 20707 a prime number?
True
Is 14567 prime?
False
Is 2519257 prime?
False
Is 12381 prime?
False
Is 137699 composite?
False
Is 107533 composite?
True
Is 4666 a prime number?
False
Is 277195 a prime number?
False
Is 48353 composite?
False
Is 45007 composite?
False
Is 1087 a composite number?
False
Is 91177 a composite number?
True
Is 3770963 a composite number?
True
Is 333959 a prime number?
True
Is 47798 a prime number?
False
Is 87211 a composite number?
False
Is 333923 composite?
False
Is 1639 a prime number?
False
Is 202661 a prime number?
True
Is 3637 prime?
True
Is 20279 a prime number?
False
Is 9745 a composite number?
True
Is 39199 a composite number?
False
Is 430649 a composite number?
False
Is 996277 composite?
True
Is 8801 a prime number?
False
Is 3415 composite?
True
Is 40577 a composite number?
False
Is 42593 a prime number?
False
Is 2063129 prime?
True
Is 28211 a composite number?
False
Is 5485589 composite?
False
Is 39454 composite?
True
Is 20283 prime?
False
Is 28321 prime?
False
Is 142927 a composite number?
True
Is 15727 a composite number?
False
Is 56365 composite?
True
Is 153019 composite?
True
Is 100313 a prime number?
True
Is 6983 a composite number?
False
Is 62273 a composite number?
False
Is 348805 composite?
True
Is 5611 composite?
True
Is 18293 prime?
False
Is 3833 prime?
True
Is 618023 a composite number?
True
Is 895 a composite number?
True
Is 216023 prime?
True
Is 119173 a composite number?
False
Is 97919 composite?
False
Is 67478 a prime number?
False
Is 74123 a prime number?
False
Is 19165 a composite number?
True
Is 61823 composite?
True
Is 122443 composite?
False
Is 4499449 prime?
False
Is 4699 prime?
False
Is 40009 composite?
False
Is 88211 composite?
False
Is 3761 composite?
False
Is 12842 a composite number?
True
Is 422987 composite?
False
Is 139 a composite number?
False
Is 11179 a composite number?
True
Is 4681 a composite number?
True
Is 5141 a prime number?
False
Is 1788729 a composite number?
True
Is 1997651 prime?
False
Is 7495 prime?
False
Is 37793 composite?
True
Is 3733 a composite number?
False
Is 2797241 a prime number?
True
Is 207227 composite?
False
Is 31883 a prime number?
True
Is 5227 a prime number?
True
Is 422431 composite?
False
Is 18947 a prime number?
True
Is 86677 composite?
False
Is 9743 prime?
True
Is 34381 composite?
False
Is 86971 a prime number?
False
Is 102607 a composite number?
False
Is 5299 a composite number?
True
Is 14621 a prime number?
True
Is 109913 prime?
True
Is 4967 a prime number?
True
Is 21001 a prime number?
True
Is 26787 composite?
True
Is 2099 prime?
True
Is 856601 composite?
True
Is 51218 composite?
True
Is 621721 prime?
True
Is 20887 composite?
False
Is 846779 composite?
False
Is 13238 a composite number?
True
Is 286973 composite?
False
Is 243877 composite?
True
Is 28889 prime?
False
Is 177649 a composite number?
True
Is 23929 prime?
True
Is 597637 prime?
True
Is 12143 composite?
False
Is 35941 prime?
False
Is 174851 composite?
False
Is 828557 composite?
False
Is 105914 a prime number?
False
Is 3202837 prime?
False
Is 222289 composite?
False
Is 2106773 a prime number?
True
Is 130231 a prime number?
False
Is 237487 prime?
True
Is 27733 a composite number?
False
Is 32063 a prime number?
True
Is 16837 a composite number?
True
Is 114531 prime?
| {
"pile_set_name": "DM Mathematics"
} |
- 35*u**5 - 46*u**5 + 3*u**5 + 0*u**5 - u**5 + (u**3 - 3*u**3 + 4*u**3)*(2*u**2 + 0*u**2 + 0*u**2).
-55*u**5
Expand (-266*d - 323*d + 72*d)*((-d + 2 - 2)*(13 - 13 - 2*d) + d**2 + d**2 + d**2).
-2585*d**3
Expand (-139 + 197 + 56 + 36)*(-2*l - 4 + 4).
-300*l
Expand (-v**2 - 7*v**2 - 2*v**2)*(-368 + 67*v + 368 + v - 3*v - 4*v + 3*v + 2*v - 3*v - 3*v + 2*v - v + 0*v + 0*v - 2*v + (-5 + 2 + 4)*(-2*v + 0*v + 0*v)).
-570*v**3
Expand (-11 + 5 + 8 + 5*p)*(-1 + p + 1 + (3*p - 5*p + 0*p)*(3 - 2 + 0) + 2 - 2 + 2*p - 3*p + 1 - 1)*(-3 + 3 - p) + 0*p**3 - 6*p**3 - p**3.
3*p**3 + 4*p**2
Expand (6*j**3 - 3*j**3 - j**3)*(2 + 1 - 1)*(1 - 1 + 5*j) - 5*j**2 + 5*j**2 - 4*j**4 + 0*j**4 + 9 - 2*j**4 - 13.
14*j**4 - 4
Expand -2*n - 3502 - 1401 - 85*n**3 - n**2 + 83*n**3 + (2*n**2 + n**2 - 4*n**2)*(-4*n + 4*n + n).
-3*n**3 - n**2 - 2*n - 4903
Expand -5*w**3 - 6*w**3 + 0*w**3 + (9 - 9 + 7*w**2)*(7 - 3*w - 7) + 2 - 4*w**3 - 2.
-36*w**3
Expand (20*f**2 + 3*f**3 - 20*f**2)*((-4 - 3 - 9)*(f - f - 2*f) + 1 - f - 1).
93*f**4
Expand (-40*q**2 - 751*q + 751*q)*(-5*q**2 + 15*q**2 + 6*q**2)*(2 + 1 - 1).
-1280*q**4
Expand (1727*s - 36057 + 36057)*(-2*s + 4*s - 4*s).
-3454*s**2
Expand (1 + 3 - 2)*((2*r + 2 - 2 + 4*r + 13*r - 5*r + (-2*r + 2*r - 2*r)*(2 + 4 - 4))*(1 + 2 - 4) + (-2*r - r + 2*r)*(-6 + 2 + 2)).
-16*r
Expand (1 + 3 - 8)*(55 + 39 + 88 - 49)*(0 + 0 + 2*q).
-1064*q
Expand -5*x - x**2 + 4 + 5*x + 30*x**2 - 50*x**2 + 29*x**2 + (2 - 2 - 3)*(0*x**2 + 4*x**2 - 3*x**2) - 3*x**2 + 3*x**2 + x**2 - 3*x**2 + 2*x**2 - x**2.
4*x**2 + 4
Expand (-210*c + 392*c - 45*c)*(0 + 5 + 12 + (-5 + 2 + 1)*(2 + 0 - 1) + 2 - 1 + 1).
2329*c
Expand (-3914*d**3 - 3539*d - 3921*d**3 - 3917*d**3 + 11751*d**3)*(-3 + 4 + 1).
-2*d**3 - 7078*d
Expand (-362*a**3 + 1406355 - 1406355)*(a + a - 4*a).
724*a**4
Expand (-4 + 2 + 1)*(-2*p**2 - 1 + 1) + (p + p**2 - p)*(-1 + 1 + 2) + (-33299*p + 239*p**2 + 33299*p)*(3 + 2 - 2).
721*p**2
Expand 2392*v**4 + 4582494*v - 4582494*v + (0*v**3 - v**3 - v**3)*(-3*v + 4*v - 2*v) - 3*v + 3*v - v**4 - 4*v**4 + 0*v**4 + 2*v**4.
2391*v**4
Expand (1 - 3 + 1)*(-c - 1 + 1)*(-1 + 2 + 1)*(92*c**4 + 75*c**4 - 2*c + 3*c) + 2*c**2 + c**5 + 2*c**2 - 6*c**2.
335*c**5
Expand 91*g**2 - 224*g**2 + 130*g**2 - 2*g - 55 - 4*g**3 - g + g**3 + g + (-1 + 3 - 3)*(g**3 + 2*g**3 - g**3) + 3*g**3 - g**3 + g**3.
-2*g**3 - 3*g**2 - 2*g - 55
Expand (q - 5*q + 2*q)*(179 + 1501 + 621 + 848).
-6298*q
Expand 9*y + 0*y**3 + 3*y**3 - 8*y + 2 - 6*y**3 + 34*y**3 + 9*y**3 + 0*y**3 + 0*y**3 - y**3 + (-3 + y + 3)*(2*y**2 - 3*y + 3*y).
41*y**3 + y + 2
Expand -3 - 337*k + 3 + (-2 - 1 + 2)*(2*k - 2*k - 5*k) - 3 + 3 + k.
-331*k
Expand (4 + 4 - 3*f - 3)*(5*f**3 - 6*f**3 - 2*f**3) + (4*f**3 + 5 - 5)*(3*f - 3*f + 2*f).
17*f**4 - 15*f**3
Expand -z + 342 - 4*z - 124700*z**3 - 110 + 124696*z**3 + (-z**2 + 0*z**2 - 2*z**2)*(-3 + 3 + z).
-7*z**3 - 5*z + 232
Expand ((2 - 3 - 1)*(2*o - 5*o + 2*o) - 5*o + 5*o + 4*o)*(18 + 359 + 834).
7266*o
Expand ((-27 + 11 + 9)*(3 + 0 - 5) - 5 + 2 + 4)*(140 - 140 + 32*i) + (-2 - 1 + 1)*(-1 + 1 - 2*i).
484*i
Expand (83953*k - 169101*k + 81426*k)*(2*k**2 - 3*k**2 - k**2).
7444*k**3
Expand (2*o**4 + 2*o**4 - 5*o**4)*((-2 + 1 - 1)*(0*o + 8*o - o) + 2*o + 0*o - 4*o - o + 14 - 14 + o - 3*o + 4*o).
15*o**5
Expand (33*r - 11*r - 13*r)*(-157*r**3 + 157*r**3 + 200*r**4).
1800*r**5
Expand (3*k**3 + 0 + 0)*(-3 + 2 - 5)*(-6*k - 15*k - k)*(-3 - 3 + 4)*(-5*k + k + k).
2376*k**5
Expand (27*y - 17*y - 118*y)*(-37*y + 110 - 110).
3996*y**2
Expand (6*o + 65*o - o)*(o + 1 - 1 + 0*o + 3*o - 2*o + (-2 - 3 + 7)*(-2*o - 1 + 1) + 3*o - o - o).
-70*o**2
Expand (327*p - 167*p - 148*p)*(2*p + 4*p - 10*p**2 - 9*p).
-120*p**3 - 36*p**2
Expand (-6 + 13 + 19)*(-1 - 2 + 1)*(-5*q + 3*q - 4*q).
312*q
Expand (-54*m**3 + 16*m**4 + 54*m**3 + m**4 + m**3 - m**3 + (4 - m**2 - 4)*(0*m - 2*m**2 + 0*m))*(-6 + 79 + 97).
3230*m**4
Expand 0*w**2 + 3*w**2 - 5*w**2 + (w - 2 + 2)*(-w + 0 + 0) - 2 - w**2 + 2 + 2*w - 20452594 + 20452594 + 2195*w**2.
2191*w**2 + 2*w
Expand -22*z**2 + 16*z**2 - 21795*z**4 + z**3 - 22*z**2 + 21788*z**4 - z**4 + 0*z + 0*z + (-z**3 + 0*z**3 - z**3)*(-3*z - 2*z + 4*z) - 12 - 11*z**4 + 12.
-17*z**4 + z**3 - 28*z**2
Expand (1 + 0 - 2)*(83*c**3 + 20*c**3 + 296*c**3)*(3 + 3 - 5)*(c + 4*c - 3*c) + (1 - 3 + 1)*(-2*c**4 + 2*c**4 - 2*c**4) - c**4 + 4*c**4 - 2*c**4.
-795*c**4
Expand 0*i**3 + 0*i**3 + i**3 + (7 + 4*i**2 - 7)*(-2931 + 2931 + 135*i).
541*i**3
Expand 49*g**5 + 97*g**2 - 97*g**2 + (-2*g - g + 5*g)*(-11*g**4 + 9*g**4 - 13*g**4).
19*g**5
Expand (42*q + 39*q + 58*q)*(-11 + 8 - 7).
-1390*q
Expand (1065*f**3 + 0*f**2 + 1689127 - 1689127 + 0*f**2)*(18 + 11*f**2 - 18).
11715*f**5
Expand (2 + 2 - 2)*(8*w + 7*w - 7*w) - 69*w + 230*w - 98*w + 2.
79*w + 2
Expand (7*t + 528 - 36*t**3 - 528)*(-2*t + 4*t - 4*t).
72*t**4 - 14*t**2
Expand (-3 - 25*b + 15*b + 12*b)*(-43 + 88 - 44)*(-1 + 5 - 3 + (-1 - 2 + 1)*(0 + 0 - 1)).
6*b - 9
Expand (-3*v**2 + v**2 + 5*v**2)*(207*v - 222*v - 209*v + (-3 + 5 - 1)*(-2 + 0*v + 4 - v)).
-675*v**3 + 6*v**2
Expand (11602*o + 23108*o + 14156*o - 77697*o)*(-o + 0*o - o + 0*o - o - o + (-1 + 2 - 2)*(2 - 2 - o) - 2*o - 5*o + 6*o).
115324*o**2
Expand ((2 - b - 2)*(0 + 5 - 4) - 3 + 3 + 2*b)*(-675 - 476 - 233).
-1384*b
Expand (-3*n - 2*n + 4*n)*(102443 - 9*n - 102404 - 8*n).
17*n**2 - 39*n
Expand (4 - 1 - 1)*(-154*x**2 - 70*x**2 - 93*x**2 + (-4 + 3 - 1)*(-3*x**2 + 2*x**2 + 3*x**2))*(34 - 12*x**3 - 34).
7704*x**5
Expand 2917 - 2595*s**2 - 2917 + (0 + 1 + 1)*(-2*s**2 - 2 + 2).
-2599*s**2
Expand 0 + 5*f**3 + 0 + (-42*f + 17*f - 38*f - 8*f)*(14*f**2 - 2*f**2 + 9*f**2).
-1486*f**3
Expand (-594*m**2 + 594*m**2 + 93*m**3)*(-79*m**2 - 4 + 32*m**2 + 4).
-4371*m**5
Expand (8 - 8 + 2 + 6*q)*(1 - 3 - 1)*(0*q - 4*q + 5*q) + 27*q**2 + 87*q**2 + 30*q**2.
126*q**2 - 6*q
Expand (226 - 12 + 89)*(-5*k - k + 3*k)*(2 - 5 + 1).
1818*k
Expand (322*g - 413*g - 342*g - 435*g)*(6*g**2 - g**3 - 347 + 347).
868*g**4 - 5208*g**3
Expand (535 + 1271 - 221 + 364)*(1 + 2 - 4)*(2*s - s + 2*s).
-5847*s
Expand (4*v - 5*v + 2*v)*(-2*v**3 + v**3 + 3*v**3) - v**4 - 2*v + 2*v - 489*v**4 - 36751 + 36751 + 4*v + 2*v**4 - 4*v.
-486*v**4
Expand (19*p**2 + 26*p**2 + 16*p**2)*(-41*p - 17*p - 8*p).
-4026*p**3
Expand (-3*j + j + 0*j)*(65 + 26 - 6) - 21 + 21 + 4*j.
-166*j
Expand (2*u - 2*u + u**4)*(0 - 5 - 3) + (0*u + 0*u - 3*u**2)*(0 + u**2 + 0) + (-3*u**3 + 4*u**3 - 3*u**3)*(u - u + 2*u).
-15*u**4
Expand (-44*c + 1831 - 1831)*(-352 - 98*c + 352).
4312*c**2
Expand (3*b - b - 4*b)*(-2*b - 2*b + b) + 1535*b**2 + 2 - 5 + 5944*b**2 + 10639*b**2 + 3.
18124*b**2
Expand (-20 - 9*w**2 + 20)*((w + w - 3*w)*(-2 - 1 + 5) - 14*w + 0*w + 4*w - 8 + 8 + w + w + w - 3*w + (-1 + 4 - 5)*(4 - 2*w - 4)).
72*w**3
Expand 1706*m + 415*m**4 - 1706*m + (1 - 1 - m**2)*(0*m**2 - 2*m**2 + 3*m**2) - m**4 + 3*m**4 + 0*m**4 - 5*m**4 + 0*m**4 + 3*m**4.
414*m**4
Expand (1 - 2 + 2)*(0 + 2 - 1)*(-14 - 7*b + 14)*(-3 - 2 - 2)*(4 + 3 + 1).
392*b
Expand (-789*n**4 + 1763*n**4 - 872*n**4 + (-n**3 + 4*n**3 - n**3)*(3*n + 2*n - 4*n) - 2*n**4 - n**4 + 5*n**4)*(n + 5*n - 8*n).
-212*n**5
Expand (h**3 + 9*h**3 + 2*h**3)*(2*h**2 - 2*h**2 + 2*h**2 + (1 - 7 + 3)*(3*h**2 - 5*h**2 + 5*h**2) + h**2 + 8 - 8).
-72*h**5
Expand 203*u**2 + 31*u**5 - 203*u**2 + (-1 + 2*u**3 + 1)*(610*u**2 + 619*u**2 - 1315*u**2).
-141*u**5
Expand (2*h + h - h)*(5 + 0 + 1)*(2*h - h + 0*h) + (-69 + 69 + 12*h)*(2 + 2 - 5)*(4*h - 6*h + h).
24*h**2
Expand (-4*z**2 - 6 + 6 + (z + z - 3*z)*(3*z - z - z) + 2 + z**2 - 2)*(-40 - 13 - 21)*(0 - 1 - 5).
-1776*z**2
Expand 11*f + 2*f**2 - 11 - 11*f + (-9*f + 16*f - 6*f)*(-4 + 4*f + 4).
6*f**2 - 11
Expand (3 - 2 - 3)*(30*i - 12 + 19 - 7)*(87*i + 2*i - 9*i).
-4800*i**2
Expand (-1 - 3*p + 3 - 7*p)*((1 + 1 - 4)*(0 - 5 + 3) + 26 + 31 + 28).
-890*p + 178
Expand (23 - 23 + 12*r**2)*(4 - 4 - 3*r) + (-2*r**3 - 3*r + 3*r)*(19 - 185 + 13).
270*r**3
Expand ((-3 - 26 - 6)*(-2 + 0 + 0) + 3 - 3 + 1)*(-1 - 73*a**3 - 2*a**5 + 71*a**3 + 20).
-142*a**5 - 142*a**3 + 1349
Expand 2*i**2 + i**2 - 4*i**2 + (1 - 1 - i)*(4*i + 4*i - 6*i) - 1218*i**2 + 1157*i**2 + 86*i - 30*i.
-64*i**2 + 56*i
Expand -2*d**5 + 4*d - 4*d + (2*d**3 - 2 + 2)*(-4*d**2 + 2*d**2 + 0*d**2) + (-14*d**2 - 19 + 19)*(-12*d**3 + 6*d**3 + 8*d**3).
-34*d**5
Expand -43 - f + 43 + (0 - 4 - 4)*(-35 + 35 - 35*f).
279*f
Expand a**2 - 5*a**2 + 3*a**2 + | {
"pile_set_name": "DM Mathematics"
} |
1))*(c**(8/7)*c**(2/3)*c)**37 assuming c is positive.
c**(25042/231)
Simplify (o/(((o*o/(o*o**0))/o)/o)*o)**(-3/13)*(o*o/(o*o**(-1/9))*o)/(o/(o/o**6))*(o**(-2/11)*o**(-4))/(o**(-1))**(-5/11) assuming o is positive.
o**(-11863/1287)
Simplify ((((h*h/h**1)/h*h*(h/h**(-2))/h)/(h**(-1/4)/h)**(-12/11))**14)**4 assuming h is positive.
h**(1008/11)
Simplify (r**(-4)/r**(-5))**(11/6)*(r**5*r**1)**(-11) assuming r is positive.
r**(-385/6)
Simplify (g**(-3/4)*g*(g*g*g**(-6))/g)**(-2/29)*((g*g**4/g)/g**(1/4))/(g**(-4)*g**(1/8)/g*g) assuming g is positive.
g**(1845/232)
Simplify (((n**(-2/7)*n)/(n*(n*(n/(n*n**4*n))/n*n)/n*n))/(n**(-5)/n*n**(-3/5)))/(n**(-1)*n**(4/7))**(-2/31) assuming n is positive.
n**(11161/1085)
Simplify (w**3*w**(-3/5)*w)**(-2/7)*((w*w**0)/(w/(w/((w**(-4)/w)/w))))/(w**(1/2)/w**(5/4)) assuming w is positive.
w**(949/140)
Simplify (b**(4/3)*b**(-4/9)*b**(-5)/b**(-6/7))/((b*b**(1/4))**(-34)/(b**4/(b*b*b**7))) assuming b is positive.
b**(4315/126)
Simplify (((b/b**(-1)*b)/b**(-10))/(b**(1/3)/(b*b**(2/5))))**(-8) assuming b is positive.
b**(-1688/15)
Simplify p**(-5)*p**(2/7)*p**(1/5)/p**5*(p/(p*p*(p**0/p)/p))**26/(p/(p/(p/((p/(p**(-2/7)*p))/p))))**(-8) assuming p is positive.
p**(151/5)
Simplify (((p**(1/5)/((p**(6/11)/p)/p))/(p**(-9)/(p/p**(-3/7))))**(-2/107))**(-4/5) assuming p is positive.
p**(37216/205975)
Simplify (o**(1/12)*o/(o**(-2)/o)*o*o)**(-41)*(o**5/(o/(o*o**(-1))))/(o**(-1/2))**0 assuming o is positive.
o**(-2945/12)
Simplify n**(2/15)/n**(-2/3)*n**4/(n/(n*n*n**3/n))*((n/n**(1/7))/(n**(2/9)*n))/(n**1)**(-1/20) assuming n is positive.
n**(9431/1260)
Simplify ((b/(b/(b*b**(-1/6))))**(-48)/(((b*b**6*b)/b*b)/(b/(b/b**(-2/3)))))**28 assuming b is positive.
b**(-4088/3)
Simplify d*(d*d/d**(2/5))/d*d**0*d*(d**(-7)/d)**(-10/7) assuming d is positive.
d**(491/35)
Simplify (p**1*p)/(p**(-7)/p)*((p*p**(1/8))/p*p)/((p**(6/5)/p)/p*p)*(((p/p**(-1))/p)/p**5)**(-37) assuming p is positive.
p**(6357/40)
Simplify (s**(-1/4)/s)**(-2/131)/((s/s**(-2/7)*s)/(s/(s/s**(1/2))))*(s**(-1/3)/s*s**(-1/6))/(s/s**1)**(-40) assuming s is positive.
s**(-5991/1834)
Simplify (b**(3/5)/((b*b**2*b)/b)*b**(1/3)/(b/(b**1/b)))/((b*b**(-1))/((b*b/b**1*b)/b)*b/(b/(b**(2/7)*b))*b**(-3)) assuming b is positive.
b**(-37/105)
Simplify ((i*i**(7/4)/i*i)/i**(9/5))**(-25/4)*(i**(2/3))**(-19)*(i**2*i)/(i/i**2) assuming i is positive.
i**(-701/48)
Simplify (x**(1/9)*x*x**4)/(x**(2/7)/(x/(x*x/((x/(((x/x**5)/x)/x))/x)*x)))*((x/x**(-1))**(-48))**49 assuming x is positive.
x**(-295796/63)
Simplify ((((q**(-1/17)/q*q)**(2/13))**18)**27)**27 assuming q is positive.
q**(-26244/221)
Simplify (q**(-2/7))**(-4)*q**(1/7)/q*(q**(-3)/q*q)/q*((q**(-2/3))**(2/21))**(10/11) assuming q is positive.
q**(-2614/693)
Simplify (j**2/(j/((j*j/(j*(j*(((j/j**5)/j*j)/j)/j)/j))/j*j)))/(((j**(-3)/j*j*j*j)/j)/(j/(j/j**(2/11))*j))*(j*j*j*j**(-2/11)*j**2)**21 assuming j is positive.
j**(1236/11)
Simplify ((m**8*m**(-1/7))/(m**(2/27)/(m/(m/(m/(m*m**(-6))*m)))))**(-33/4) assuming m is positive.
m**(-15367/126)
Simplify (k/(k**(-6)*k)*k**(-4/3))**(-3/11)/((k**(-1/4))**(-11)/((k/((k*k*k**(3/8))/k))/k*k*k/k**(-1))) assuming k is positive.
k**(-211/88)
Simplify ((((u**4/u)/u)/u)/u**(1/3)*(u*u**3)**(1/27))**(-4/11) assuming u is positive.
u**(-8/27)
Simplify (((s/s**3*s)/s*s)/(s*s*s/(s*s*s**(1/2)/s*s*s)*s))**(1/5)*(s*s*s**0/s)**(-1/8)*s**(1/15)*s/s**(3/5) assuming s is positive.
s**(1/24)
Simplify (m**(2/13)*m/m**(-6))/(m**6*m*m**(-3/2))*(m/m**(2/7))**(-10/9)*m**(-1/3)*(m**(-2/11)/m)/m assuming m is positive.
m**(-29819/18018)
Simplify (z**(-2))**(4/7)*z**(3/5)*(z*z**(1/3)*z*z)/z*((z/(z*z**(-2/9)))/z*z*z**4)**(2/17) assuming z is positive.
z**(12248/5355)
Simplify ((i*i**(-9)*i*i)**(-49)/(i/i**(-7/2))**(40/7))**(-45) assuming i is positive.
i**(-84510/7)
Simplify ((g**10*g)**(2/25)*(g*(g/g**24)/g)/g**8)**(-1/19) assuming g is positive.
g**(753/475)
Simplify ((q/(q**(-4)*q*q)*q*q**(2/17))/(q**0/q**5))/((q/q**(-1)*q)**(-2/63)*q**(-2)/q**5) assuming q is positive.
q**(5788/357)
Simplify ((w/(w**8/w)*w**(2/39))/(w**(1/5)*((w**(-2/11)/w)/w*w)/w))**8 assuming w is positive.
w**(-68072/2145)
Simplify (v**(2/3)/(v/(v*v*v**4)))**(-20/3)/(((v**(2/9)*v)/v)/((v**(-9)/v)/v))**(7/5) assuming v is positive.
v**(-2407/45)
Simplify ((g/(g*g**0))**(-4)/(g*g**(-1)*g)**(-10))/((((g/(g*g**(3/2)/g*g))/g)/g*g/(g/(g*g/((g**(2/15)/g)/g))))/((g*g**(1/2))/g**(-1/4))) assuming g is positive.
g**(683/60)
Simplify ((h**(21/4)*h/h**(-12))/(h**2/h*h*h*h*h**(-21)))**(-8) assuming h is positive.
h**(-282)
Simplify ((r/r**1)/(r**1*r))**(1/21)/((r**(-2/3))**(5/7)/(r**0)**(-3/7)) assuming r is positive.
r**(8/21)
Simplify (((q/(q*q/q**1))/q)**(-36)*((q/(q*q/q**1)*q)/q)**(-2/21))/((q**(-2/7)/q)**(1/5)*(q/((q*q**1)/q))**(-34)) assuming q is positive.
q**(1269/35)
Simplify (u/((u*u**(-2/11))/u*u))/u*u*u**(2/7)*u**(-2/3)*u/(u*(u**4/u)/u)*((u/(u*u**1*u*u)*u)/u)**(-22/7)*((u*u*u*u*u**(-1/2))/u)**(-39) assuming u is positive.
u**(-41705/462)
Simplify ((w**(-4/23)/w)/w)/((w/(w**(-3/7)/w))/w)*(w/w**(-35))**(-31) assuming w is positive.
w**(-180256/161)
Simplify ((l/(l*l**8*l))**(-4)*l**(-4)*l*l/(l*l*l**(-9/2)*l))**(-24) assuming l is positive.
l**(-852)
Simplify ((t**4*t**(-2/3)/t)/((t*t**(-1/10))/(t**(-3)*t)))/((t**(-2/15)*t)/(t*t**(-1/5))*(t**0/t*t)**43) assuming t is positive.
t**(-19/30)
Simplify l**(-25/4)/(l/(l*l/(l/(l*l**(-3/14))*l)))*l**(-10/3)*l**23*l assuming l is positive.
l**(1193/84)
Simplify (j**(-10)*j*j*j*j*j**(1/16)*j)**(-8/9)*(j/(j*j**7))/(j**(-8)/j)*j**5*(j/(j/(j**(-7)/j)))/j assuming j is positive.
j**(43/18)
Simplify (((k*k**(-4/3))/((k*k**(-2/7))/k))/((k**(-1/10)*k)/(k*k*(k**(-3/5)*k)/k)))/((k/k**(1/4))**(5/4))**(-3/7) assuming k is positive.
k**(41/48)
Simplify ((d*d**(5/4))/d*d**(3/2)*((d**1/d)/d)**(3/31))/(d**(2/21)/d*d*d**0)**(-7/8) assuming d is positive.
d**(509/186)
Simplify ((j**(-24)/j)**(2/73)*(j*(j/((j*j**(-1/2))/j))/j)/(j*(j*j**(-10)/j)/j*j))**(7/4) assuming j is positive.
j**(10031/584)
Simplify ((c**(-10))**(-3)/(c**(-8))**(1/33))**(1/37) assuming c is positive.
c**(998/1221)
Simplify j**(2/7)/j**(-1)*(j**0*j)/(j**(-1)*j)*(j/(j/j**(-6)*j)*j/(j*j/(j/(j/(j/j**(1/7))*j))*j*j))/(j**1*(j*j**(-1/9))/j) assuming j is positive.
j**(-551/63)
Simplify m/(m/(m/(m**(-33)/m)))*m**(-25)/m*m*m*m*m**43*m**(3/19) assuming m is positive.
m**(1048/19)
Simplify (l**(3/4)/(l**(-11)/l))**(-20/7)*((l/l**(-2)*l*l)/((l**(2/37)/l)/l*l*l))/(l**5/l**(-1/4)) assuming l is positive.
l**(-38055/1036)
Simplify (((o/o**(2/7))/(o*o**(-3/5)*o))/(o/(o**(-8/9)/o*o)*o*o*(o**(-4/5)*o)/o))**(-40) assuming o is positive.
o**(9512/63)
Simplify ((u/u**(-1/2))**(15/2)/((u**(2/5)/u)/u**(-2/11)))/((u**5/u)/u**(2/9))**26 assuming u is positive.
u**(-171377/1980)
Simplify ((c**(2/3))**50)**(1/27)*c*c**4*c**3*((c/(c/(c*c/c**(-1/4)*c)))/c)**(-20) assuming c is positive.
c**(-2897/81)
Simplify ((((t*t/t**(-2/7))/t)/t)**27)**20*t**(1/6)*t**3*t**(-3/2)*t*t*t/(t**(-3/5)*t) assuming t is positive.
t**(16648/105)
Simplify (v**(-1/2))**33/(v*v*v/(v**(-2/7)/v)*v)**(13/8)*((v/(v/(v*v**(3/2)*v)))/v**(-5/4))**(-2) assuming v is positive.
v**(-1937/56)
Simplify ((p/(p*p**(3/7)))/p**(2/13))**4*p*p**1*p/p**(2/5)*p/(p/(p**(4/7)*p))*p*p**(1/3)*p assuming p is positive.
p**(5699/1365)
Simplify (l**(2/3)/l**(-1/3))**13*((l*l/(l**(-4)/l))/l)/l**6*(l/(l**(1/3)*l))**(-1/3) assuming l is positive.
l**(118/9)
Simplify (m*m**18)/m**(1/10)*(m/m**(1/15))**(-47) assuming m is positive.
m**(-749/30)
Simplify (y/(y**(1/2)*y)*y*y*y/(y*y**(-1/5))*y*y)/(y**0/y**(-1))*((y*y**2)/y**(4/7))/(y**(-5)*(((y*y**(-2/9))/y)/y)/y*y) assuming y is positive.
y**(7151/630)
Simplify (p**(-5)*(p*p/(p/(p**(-1/8)/p))*p)/p*(p*p**(-1))/((p*p**(2/7)/p)/p))/((p**(-1/3))**(-20/9)*p**(2/11)*p*p**(-5)*p) assuming p is positive.
p**(-38807/16632)
Simplify ((n**(-2/5)*n**(-5))/(n/(((n/(n**7/n)*n*n)/n)/n*n))**(-9))**(3/5) assuming n is positive.
n**(594/25)
Simplify (o**(1/8)*(((o*((o/o**(2/5))/o)/o)/o)/o)/o)/((o*o**(-6))/o*o*o/o**(-7)*o)*(o**(1/11)/(o*o**(-4)))/(o**1*o/(o/(o/o**(-2)))) assuming o is positive.
o**(-3601/440)
Simplify ((((h/(h**(-24)*h)*h)/h)/h)/(h**1*h))/(h**(-11/8)*h)**(2/45) assuming h is positive.
h**(1261/60)
Simplify ((w/(w**(1/3)*w))/w*w*w*w*w**(-2/11)*w/(w*w**5)*w*(w/w**(5/4))/w)/(((w/w**0)/w)**8)**(2/ | {
"pile_set_name": "DM Mathematics"
} |
92
Let o(b) be the first derivative of -5*b**7/21 - 13*b**4/12 + 18*b + 10. Let v(a) be the first derivative of o(a). What is the third derivative of v(d) wrt d?
-600*d**2
Let n be -48*4/(-4) - -4. Find the second derivative of 9*g**3 + 9*g - 23*g**3 + 52 - n wrt g.
-84*g
Let u(g) be the first derivative of g**7/30 - 7*g**4/24 - 5*g**2/2 + 14. Let q(c) be the second derivative of u(c). What is the second derivative of q(z) wrt z?
84*z**2
Differentiate 182 - 68*m**3 - m**2 - 276 - 11*m + 11*m wrt m.
-204*m**2 - 2*m
Let n(h) be the second derivative of -13/2*h**2 + 0*h**5 + 6*h + 0*h**3 + 0 + 1/6*h**6 + 0*h**4. Differentiate n(j) with respect to j.
20*j**3
Let i be (-80)/30 - (0 + (-6)/2). Let l(b) be the first derivative of 0*b**2 - 5*b - 5 + i*b**3. What is the first derivative of l(w) wrt w?
2*w
What is the second derivative of 11*f**3 + 51 - 6*f**2 - f**3 - 51 + 86*f wrt f?
60*f - 12
Let n(y) = -228*y**3 - 10*y**2 + 5*y + 451. Let h(w) = 342*w**3 + 14*w**2 - 7*w - 676. Let g(t) = -5*h(t) - 7*n(t). Differentiate g(c) with respect to c.
-342*c**2
Let w(b) = -b**3 - 4*b**2 + 3*b - 705. Let g(a) = 3*a**3 + 14*a**2 - 8*a + 2115. Let d(l) = -2*g(l) - 7*w(l). Find the first derivative of d(j) wrt j.
3*j**2 - 5
Let v(r) be the first derivative of 0*r**3 - 1 + 3/2*r**6 + 0*r**4 + 0*r + 0*r**5 + 9/2*r**2. Find the second derivative of v(w) wrt w.
180*w**3
Let o(u) = 407*u**3 - 24*u**2 - 118*u - 5. Let v(h) = -408*h**3 + 19*h**2 + 118*h + 4. Let n(p) = -4*o(p) - 5*v(p). Find the third derivative of n(t) wrt t.
2472
Let x(f) be the first derivative of 24 + 0*f - 8*f**2 + 0*f**3 + 0*f**5 + 0*f**4 + 13/6*f**6. Find the second derivative of x(a) wrt a.
260*a**3
Let s(f) be the second derivative of -f**5/20 - f**4/12 + 7*f**2/2 + 4*f. Let p(a) be the first derivative of s(a). Find the second derivative of p(z) wrt z.
-6
Let x(p) be the second derivative of 0*p**3 + 0*p**4 - 1/10*p**6 - 9/2*p**2 - 18*p + 0*p**5 + 0. Differentiate x(r) wrt r.
-12*r**3
What is the third derivative of 35*v**6 - 5*v**2 - 17 + 1 + 28*v**6 wrt v?
7560*v**3
Let r = 30 + -28. What is the second derivative of -10*x + 3*x**2 + r*x + x**2 + x**2 wrt x?
10
Let x(n) = -46*n**2 - 4*n - 154. Let g(h) = 23*h**2 + h + 77. Let w(q) = -5*g(q) - 2*x(q). Differentiate w(z) wrt z.
-46*z + 3
Let o(x) be the third derivative of 0*x - 1/35*x**7 + 0 - x**2 + 0*x**4 + 0*x**3 + 0*x**6 + 1/12*x**5. What is the third derivative of o(m) wrt m?
-144*m
Suppose -5*i = 9 - 19. What is the third derivative of -8*g**i + 12*g**6 + 218*g - 218*g wrt g?
1440*g**3
Let o(c) be the third derivative of 799*c**6/120 - 943*c**3/6 - c**2 - 13*c. Differentiate o(i) with respect to i.
2397*i**2
Let j(y) be the first derivative of -3*y**5/5 + 5*y**3/3 + 13*y + 133. Find the first derivative of j(g) wrt g.
-12*g**3 + 10*g
Suppose l + 12 - 45 = 0. Let x(m) = 43921*m + 2 - 3 - 43925*m. Let q(c) = -21*c - 6. Let b(k) = l*x(k) - 6*q(k). Find the first derivative of b(d) wrt d.
-6
Differentiate -87*p**3 - 116 + 517*p - 517*p wrt p.
-261*p**2
Let h(t) be the first derivative of -151*t**2/2 - 210*t - 145. Differentiate h(r) with respect to r.
-151
Let a(o) = -4*o + 3*o - 1 + 2*o - 2. Let s be a(7). What is the first derivative of 0*b**4 + 0*b**4 + 5 - b**s wrt b?
-4*b**3
Let m(x) be the second derivative of -7*x**3/2 + 275*x**2 - 305*x. What is the derivative of m(z) wrt z?
-21
Suppose -3*d - 30 = -5*p + 8, -3*p + 25 = -4*d. Suppose 8*f = p*f + 2. What is the derivative of -3 - f + 4 + 7*n**4 wrt n?
28*n**3
Let s = 3 - -20. Suppose -3*a = -2*y + 17, 2*y - 4*a = a + s. Find the first derivative of -4 + 22*r**4 - 26*r**y + 1 wrt r.
-16*r**3
Let n = 18 + -16. What is the second derivative of -n*z**4 + 2*z**4 + 5*z**4 - 3*z**4 - 8*z wrt z?
24*z**2
Let a(k) = -k + 22. Let y be a(13). Find the second derivative of -5*f - f + y*f**4 + 19*f**4 + 8*f wrt f.
336*f**2
Let z(b) = -1004*b**3 - 38*b + 592. Let j(g) = 335*g**3 + 12*g - 197. Let h(u) = 16*j(u) + 5*z(u). What is the second derivative of h(q) wrt q?
2040*q
Let x(k) be the third derivative of -7*k**2 + 1/120*k**6 - 1/5*k**5 + 0*k + 0*k**4 + 0*k**3 + 0. What is the third derivative of x(c) wrt c?
6
Let y = 19 + -17. Differentiate -y - 7 - x**3 - 4*x**3 - 2 wrt x.
-15*x**2
Suppose 14*x - 1065 + 995 = 0. Let l(h) be the second derivative of 4*h + 0 - 7/20*h**x + 0*h**3 + 0*h**4 - 3*h**2. Differentiate l(y) wrt y.
-21*y**2
What is the first derivative of 182 - 897 + 186*o - 782*o wrt o?
-596
Let n(f) be the third derivative of -f**6/45 - f**5/60 + f**3/6 - 5*f**2. Let m(r) be the first derivative of n(r). What is the second derivative of m(i) wrt i?
-16
Differentiate 95*l + 13 - 2*l + 23*l with respect to l.
116
Let q(r) = -r**3 + 12*r**2 - 10*r - 9. Let u be q(11). What is the third derivative of -15*l**u - 10*l + 55*l**3 + 10*l wrt l?
330
Let h(t) be the third derivative of -t**7/105 - t**5/5 + 11*t**4/6 - 42*t**2. Find the second derivative of h(i) wrt i.
-24*i**2 - 24
Let g(a) be the third derivative of 0*a - 19/24*a**4 - 1/60*a**5 + 0 + 2*a**2 + 0*a**3. What is the second derivative of g(x) wrt x?
-2
Let u be 115/10 - 1/2. Let g = u + -9. Find the third derivative of -m + 8*m**2 - m**6 - 15*m**g + m wrt m.
-120*m**3
Let u(o) = -255*o**2 - 75*o + 8. Let b(k) = -85*k**2 - 25*k + 3. Let n(j) = 8*b(j) - 3*u(j). Find the second derivative of n(w) wrt w.
170
Suppose 37 = 8*r + 13. What is the second derivative of -2*w**3 - 39*w - r*w**3 - 14*w**3 wrt w?
-114*w
Let i(a) be the first derivative of -11*a**7/210 + a**3/3 - 2*a**2 - 16. Let q(h) be the second derivative of i(h). Differentiate q(k) with respect to k.
-44*k**3
Suppose -4*x + 24 = 5*o, -6*o + 3*o + 12 = 2*x. Suppose 0 = -l + x - 4. Differentiate 1 - 4*d - 2*d + l*d with respect to d.
-4
Let t(g) be the third derivative of -g**7/42 - g**5/30 - 7*g**4 - 3*g**2 + 82. What is the second derivative of t(q) wrt q?
-60*q**2 - 4
Let a(p) be the third derivative of 0 + 0*p - 7/3*p**3 - 15*p**2 - 1/4*p**4. Find the first derivative of a(d) wrt d.
-6
Let a(f) be the second derivative of 59*f**8/56 - f**4/12 - 7*f**3/3 + 48*f + 1. Find the third derivative of a(v) wrt v.
7080*v**3
Let d(q) = -3*q - 3. Let g be d(-2). Suppose 2*k + 1 = g. What is the second derivative of -2*v + k - 1 - 2*v - 8*v**4 wrt v?
-96*v**2
Suppose 6*k - 261 = 1299. Differentiate -120*z - 127*z + k*z - 9 with respect to z.
13
Let u(t) = -511*t**4 + 10*t**3 + 5*t**2 + 146*t. Let z(j) = 2*j**3 + j**2 + j. Let k(i) = u(i) - 5*z(i). What is the second derivative of k(h) wrt h?
-6132*h**2
What is the derivative of 6 + 56 - 241*b**3 - 99*b + 293 + 99*b wrt b?
-723*b**2
Find the second derivative of -3712*q - 704*q**4 + 1852*q - 89 + 1857*q wrt q.
-8448*q**2
Let i = 63 - 57. Differentiate -12*u - 9*u - 7*u + i*u + 2 wrt u.
-22
Let b(z) be the first derivative of -z**6/3 + 5*z**2 + 14*z + 2. Let a(i) be the first derivative of b(i). What is the first derivative of a(g) wrt g?
-40*g**3
Let a = 59 + -35. What is the second derivative of 9*g**2 - a*g**2 - 5*g - 2*g wrt g?
-30
Let g(s) = -7*s**3 + 27*s + 7. Let i(c) = c**3 - c + 2. Let z(m) = g(m) + 5*i(m). Differentiate z(t) wrt t.
-6*t**2 + 22
Let o(t) be the third derivative of 116*t**5/15 - 109*t**4/24 + 3*t**2 - 37. What is the second derivative of o(n) wrt n?
928
Let u(s) be the second derivative of 137*s**6/30 + 167*s**3/6 - 11*s - 3. What is the second derivative of u(l) wrt l?
1644*l**2
What is the derivative of 3*d - 24 - 2*d - 13*d - 4*d**3 + 6 wrt d?
-12*d**2 - 12
Let u = 90/7 + -325/28. Let y(p) be the first derivative of u*p**4 - 3*p**2 + 0*p + 3 + 0*p**3. Find the second derivative of y(q) wrt q.
30*q
Let b be 0 + 1 - (-2 - -8). Let g be (-8 - b)/((-6)/10). Find the third derivative of 5*x**g - 6*x**5 - 7*x**2 - x**5 wrt x.
-120*x**2
Suppose 20 = -5*m, 3*u - 16 = 5*u + 3*m. Let x = u + 8. Find the third derivative of 3*f**2 + 8*f**x + 0*f**5 + 0*f**5 - 9*f**6 wrt f.
-120*f**3
What is the first derivative of 254 - 1 - 12 + 37 + 209*m**2 + 37 wrt m?
418*m
Let v(f) be the third derivative of -22*f**7/105 - 3*f**5/20 - 347*f**3/6 - 805*f**2. Differentiate v(z) with respect to z.
-176*z**3 - 18*z
Let u(k) = k**2 - k. Let z(b) = -3*b**2 - 6*b - 9. Let a(i) = 2*u(i) - z(i). Differentiate a(c) with respect to c.
10*c + | {
"pile_set_name": "DM Mathematics"
} |
sqrt(114)))/(-2*sqrt(24)))**2.
247/16
Simplify ((sqrt(2299) - sqrt(2299)*-2*-5 - ((sqrt(2299) - (-1 + sqrt(2299))) + 0) - (2 + -1*sqrt(2299) + sqrt(2299) + -1*(-1 + sqrt(2299)))) + -2)**2.
1056*sqrt(19) + 147172
Simplify (-5*-2*sqrt(528)*2*-6)/(6*(sqrt(55)/sqrt(45) + sqrt(11)) - -2*(2*sqrt(66))/sqrt(6)).
-40*sqrt(3)
Simplify -1*(-1*4*(sqrt(1188) + sqrt(1188)*1))/(1*sqrt(75) + (sqrt(36)*3)/sqrt(12)).
6*sqrt(11)
Simplify ((sqrt(343) - (1 + 3*sqrt(343)) - sqrt(343))**2 - (1 + (sqrt(1764) + sqrt(49))/sqrt(7)))*-5.
-15435 - 175*sqrt(7)
Simplify -1*sqrt(2299)*2 - sqrt(114)/(sqrt(18)/sqrt(3))*-3 - (-2*sqrt(152) + sqrt(152))/(sqrt(2) + 4*(sqrt(2) + sqrt(8)/sqrt(4)))*-5.
-181*sqrt(19)/9
Simplify (((-2*sqrt(45) - sqrt(45))*-2)/(2*sqrt(576)) + (sqrt(5) + (sqrt(10)/sqrt(2) - sqrt(5)) + -5)*4*-1)**2.
-145*sqrt(5) + 29805/64
Simplify 1 + (-5*(-2 + sqrt(243)) + -3*sqrt(243)*1 - (3 + sqrt(243) + sqrt(243) + (sqrt(243) - sqrt(243)*5) + -2))**2.
-972*sqrt(3) + 8830
Simplify -1 + (-2*sqrt(2904)*6 + 3*-2*sqrt(2904))/(-2*(sqrt(24) + (sqrt(600) - (1*sqrt(600) + sqrt(600))))/sqrt(2)).
-99*sqrt(2)/4 - 1
Simplify (sqrt(104) + sqrt(104) + sqrt(104) + (sqrt(104) + sqrt(104)*3)*1 + sqrt(104))/(-1*sqrt(512)) + (-2 + sqrt(26)/(2*sqrt(18)) + -5)**2.
-10*sqrt(13)/3 + 1777/36
Simplify 1 + 1*sqrt(1573)*4 + -4 + (-4 + (sqrt(3159) - (sqrt(3159) - (sqrt(3159) - -2*sqrt(3159))))/sqrt(3))*-6.
-118*sqrt(13) + 21
Simplify ((-1*2*sqrt(297) + 2*sqrt(297)*2)/(sqrt(1331) - 4*((sqrt(1331) - -3*sqrt(1331)) + sqrt(1331))))**2.
108/43681
Simplify (sqrt(65)*4*-5 - sqrt(65)*2*3)/((sqrt(720) + (sqrt(720) - sqrt(720)*-1*-2) - sqrt(720))*-2).
-13*sqrt(13)/12
Simplify -2*6*5*((sqrt(70) + sqrt(70)*1)/sqrt(10) + 2)**2*1 + 5.
-1915 - 480*sqrt(7)
Simplify (-1*((sqrt(91)*2*2)/(sqrt(784)/sqrt(7)))**2 + -2)*-1*-1.
-15
Simplify 4*(0 + sqrt(405) + -3) + (sqrt(405) + -2)**2*-4 + 2 + 0 + sqrt(405).
-1646 + 189*sqrt(5)
Simplify ((-3*((sqrt(550) - sqrt(550)*2*-6) + sqrt(550)))/((sqrt(1331) - -1*sqrt(1331))*1) + 0)**2.
22050/121
Simplify (sqrt(7)*-2 + 4)**2 + sqrt(49)/(sqrt(7)*-1) + (1*sqrt(343) + -1)*3 + 1.
4*sqrt(7) + 42
Simplify (-3*(sqrt(68) + -1*(2*sqrt(68) + sqrt(68)) - sqrt(68) - sqrt(68))*5)/((1*sqrt(28)*2)/(sqrt(252)/sqrt(4))).
90*sqrt(17)
Simplify (((6*sqrt(135)*-2)/sqrt(3))/(-2*sqrt(729)*-3)*-3)**2.
20/9
Simplify ((sqrt(130)*-1)/sqrt(10) - (-1 + sqrt(13) + 1)) + -5 + ((sqrt(78) + -3*sqrt(78) + sqrt(78))*3)/(-3*sqrt(864) - sqrt(6)).
-71*sqrt(13)/37 - 5
Simplify (2*(sqrt(1568) + -5 + sqrt(1568) + 1 + sqrt(1568) + ((1*sqrt(128))/sqrt(8))/(-1*sqrt(288))))**2.
-8048*sqrt(2)/3 + 506594/9
Simplify (-1*4*sqrt(2560)*4)/(sqrt(72)*-3 + sqrt(8)*-4*2).
128*sqrt(5)/17
Simplify ((-3*-2*sqrt(350))/(-1*sqrt(810)))/(3*sqrt(63)/sqrt(9) - (sqrt(7) - sqrt(77)/(sqrt(44)/sqrt(4)))).
-2*sqrt(5)/9
Simplify -3 + (sqrt(162) + sqrt(162)*-2 + 4)*-1 + (4*(sqrt(162) - -2*sqrt(162)*4)*4)**2.
9*sqrt(2) + 3359225
Simplify ((((sqrt(567) - (sqrt(567) - -1*(-5 + sqrt(567)))) + sqrt(567) + sqrt(567) + -1*sqrt(567) + 2 + -3)*-6 + 2)*-2)**2.
1936
Simplify (1*sqrt(700)*1)**2 + 5 + ((2*(sqrt(112) + -1) + sqrt(112))**2 - (-5 + (sqrt(112)*-1)**2)).
-48*sqrt(7) + 1610
Simplify (3 + ((sqrt(180) + sqrt(20))*2)/(6*sqrt(64)) - (sqrt(5) + 1 + 1 + (sqrt(10) + sqrt(20)/sqrt(2) - sqrt(10))/sqrt(2) + 0))**2.
-10*sqrt(5)/3 + 134/9
Simplify 0 + (((sqrt(180) + (sqrt(180) - (sqrt(180)*-1 - sqrt(180))) + sqrt(180))*6 + sqrt(180))/sqrt(3))/(-1*sqrt(588)*3).
-31*sqrt(5)/21
Simplify ((2 + sqrt(192) + 0)*4)**2 - 5*(4 + (sqrt(147)*1)**2 + 3).
512*sqrt(3) + 2366
Simplify 3*((sqrt(972) - (sqrt(972) + 1*sqrt(972)*3))/((sqrt(4) - sqrt(12)/sqrt(48)) + sqrt(64)*6 + sqrt(4) + sqrt(4)))**2.
104976/11449
Simplify (3*sqrt(18)*-6 - 1*(sqrt(18) - sqrt(18)*-1))/(sqrt(6) + sqrt(486)*2 - 2*sqrt(726)).
20*sqrt(3)/3
Simplify -3 + (1*sqrt(1088)*-2 + -5 + ((sqrt(1088) - (-2 + (sqrt(1088) - sqrt(1088)*-1) + sqrt(1088))) + sqrt(1088))*1 + -1)**2.
192*sqrt(17) + 9805
Simplify 2 + (4*(sqrt(77) + sqrt(77)*2 + sqrt(77)))/((sqrt(44)/sqrt(2))/sqrt(2)) + -1 + (sqrt(112) + 1)**2 + 1 + 3.
24*sqrt(7) + 118
Simplify (2*(2*(4*6*2*sqrt(3) + (sqrt(363) + (sqrt(363) - (sqrt(363) + -2)) - sqrt(363)) + -1) + 3))**2.
3840*sqrt(3) + 110692
Simplify -5 + (-4*sqrt(156)*2)/(sqrt(300)*2 - sqrt(12) - sqrt(12)) - (6*(sqrt(325) - (sqrt(325) + (sqrt(325) - (0 + sqrt(325))*-3)**2)) + -4).
-sqrt(13) + 31199
Simplify (-4*1*(sqrt(550)/sqrt(11) - (sqrt(14) + (sqrt(56) - sqrt(14)))/sqrt(7) - ((sqrt(2) - sqrt(12)/(4*sqrt(6))) + 1)))**2.
-72*sqrt(2) + 178
Simplify (sqrt(250)/(((3*sqrt(110) + sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110))/sqrt(11)))/(6*5*sqrt(320)).
sqrt(5)/1200
Simplify (-2*(sqrt(1584) + -4)**2 - sqrt(1584)) + sqrt(1584) - (sqrt(1584) + -3*sqrt(1584)*-1) - (-3*-2*1*sqrt(1584) + 0).
-3200 + 72*sqrt(11)
Simplify 3*((-1*sqrt(2057) + -5 - sqrt(2057))*-4 + ((sqrt(204)*1 + sqrt(204))*6)/(sqrt(12) - sqrt(192)/sqrt(4))).
60 + 228*sqrt(17)
Simplify (-3 + -4 + 0 + (sqrt(832) + (sqrt(832) - (sqrt(832) - (sqrt(832) - (-5 + sqrt(832)*1)))) + -2*sqrt(832)*6 + -3)*3)**2.
528*sqrt(13) + 906049
Simplify (-5*(4 + sqrt(1584)*-2 + 1))**2 - (sqrt(110) - (3*sqrt(110)*-2 - sqrt(110)))/(-1*sqrt(160))*4.
-5992*sqrt(11) + 159025
Simplify 2 + (4 + sqrt(27)*-1 - (sqrt(27) + (sqrt(216)*1 - sqrt(216))/sqrt(8)))**2 + (sqrt(108) + 2 - sqrt(135)/sqrt(45)).
-43*sqrt(3) + 128
Simplify -5*(sqrt(931) + (sqrt(931)*2 + sqrt(931))*3 + 0 + (6*3*sqrt(19))**2 + 2).
-30790 - 350*sqrt(19)
Simplify -1 + -3*(1 + -5*(-2 + -1*sqrt(847)*-1*1))**2.
-63889 + 3630*sqrt(7)
Simplify (0 + 3 + 5 + (-5 + sqrt(162)*1 + -4)*-3)**2 + 1.
-1890*sqrt(2) + 2684
Simplify (0 + -3*(sqrt(80)*-2 + 3 + -5 - (-1 + 1 + sqrt(80) - (sqrt(80) + -1 + -2 - sqrt(80)))))**2.
1080*sqrt(5) + 6705
Simplify ((sqrt(110)*1*-6 - ((sqrt(110)*3 + sqrt(110))*-6 - sqrt(110)))/(-6*(1*sqrt(250) + sqrt(40)/(sqrt(4) + sqrt(16) + sqrt(4)))))**2.
15884/3969
Simplify (-5*(sqrt(68)*5 + sqrt(68)) - 6*(sqrt(68) + (sqrt(68) + sqrt(68)*1 - sqrt(68)) + sqrt(68)))/(-1*sqrt(576) + sqrt(144)*3).
-8*sqrt(17)
Simplify (2*(sqrt(66) + sqrt(66)*-1 - sqrt(66)) + sqrt(66) + (sqrt(66) - -1*sqrt(66))*-3)/((sqrt(1200) - sqrt(1200)*-2)/(sqrt(14)/sqrt(28))).
-7*sqrt(11)/60
Simplify (sqrt(539)/(sqrt(22)/sqrt(2)))/(sqrt(7)*-1*-3) - (sqrt(448) + 1 + 2*((sqrt(7) + (sqrt(7) - sqrt(63)))**2 + sqrt(7)))*-6.
90 + 181*sqrt(7)/3
Simplify -3*(2 + (sqrt(1584) - (sqrt(1584) - ((-1 + sqrt(1584))**2 + 1)) - sqrt(1584)*4*-5)).
-4764 - 648*sqrt(11)
Simplify ((-2 + sqrt(252) - (sqrt(7)*2 + 2)**2)*-1 - 3*(sqrt(175) - (sqrt(175) + 0 + 1 + sqrt(175))**2))*2.
94*sqrt(7) + 4274
Simplify 3*(3 + 6*(5 + sqrt(300)) + 0 + (5 + sqrt(300))*-3)**2.
3240*sqrt(3) + 9072
Simplify 2*((sqrt(272) + sqrt(272)*-1 + 4 + -4*(-3 + sqrt(272)))**2 + sqrt(272) + (sqrt(272) - (-2*sqrt(272) + -1 - sqrt(272))) + -2*sqrt(272)*6).
-1080*sqrt(17) + 9218
Simplify (4*((2*((sqrt(171) - sqrt(171)*1) + sqrt(171)) - -1*sqrt(171)*1)*-3)/(-6*(sqrt(576) - sqrt(576)*-2 - sqrt(576))*-1))**2.
171/64
Simplify 1 + (sqrt(121)*1*-2 - -2*sqrt(121)*6)/((-3*sqrt(110)/sqrt(2) - sqrt(55))/(sqrt(315)/sqrt(7) + sqrt(5))).
-10*sqrt(11) + 1
Simplify ((4 + 0 + sqrt(980) + (sqrt(980) + sqrt(980)*1 - sqrt(980))*-6 + sqrt(980) + 5)*2)**2.
-4032*sqrt(5) + 63044
Simplify (sqrt(171) - -2*sqrt(171)*1 - (2*4*sqrt(171) - sqrt(171)))/(-3*-2*sqrt(900)*-6) + -2.
-2 + sqrt(19)/90
Simplify 3 + (-6*sqrt(77)*-1 - (sqrt(77) - sqrt(77)*1*-2))/((sqrt(70) - ((sqrt(70) - (1*sqrt(70) + sqrt(70)))*-4 + sqrt(70)))/sqrt(10)) + -5.
-3*sqrt(11)/4 - 2
Simplify (-3*((sqrt(120) + sqrt(120)*1 + sqrt(120) - sqrt(120))*-6)/sqrt(4))/((sqrt(36) - sqrt(144)/sqrt(4) - sqrt(36))/sqrt(6) + sqrt(600)*3).
36*sqrt(5)/29
Simplify -2 + ((sqrt(480) - (sqrt(480) + (1*sqrt(480) - sqrt(480))))*1)/(((sqrt(40) + sqrt(360) + sqrt(40))*-5)/sqrt(4)) + 3.
1
Simplify (0 + -4 + sqrt(304) + (sqrt(304) - -1*(sqrt(304) + 2)) + -3)**2*5*-6*4.
-331320 + 14400*sqrt(19)
Simplify ((-2*((sqrt(68) - (-2 + sqrt(68))*4) + sqrt(68)) + 0 + sqrt(68) + 1 + (2*(-1 + sqrt(68)) - sqrt(68)) + 5)*-3)**2.
-2592*sqrt(17) + 23328
Simplify -5 + (0 + ((-5 + sqrt(612) + sqrt(612)*-1)**2 - sqrt(612))*-1 - (1 + -5*(sqrt(612) - (-2*sqrt(612) + -4))**2)).
726*sqrt(17) + 27589
Simplify ((1 + sqrt(300) + 5 - (sqrt(300) - (sqrt(300) - 5*(sqrt(300) - (sqrt(300) + -2))) - sqrt( | {
"pile_set_name": "DM Mathematics"
} |
he nearest to 0.1 in n, -0.05, 5?
-0.05
Let h = -87/2852 + -7/124. Which is the closest to 2? (a) h (b) 0 (c) -3 (d) -177
b
Let k(g) = 4 - 8 - 3*g**3 - 5*g**2 - 4*g + 3*g**2 - 4*g**2. Let x be k(-2). What is the nearest to 0.1 in 0.1, x, 2/3?
0.1
Let t = 0.64 - 5.64. Let x = 70.07 + 0.33. Let g = -70 + x. Which is the nearest to -2/7? (a) 0 (b) t (c) g
a
Let n = 32755/268 - 489/4. Let k = -63/134 + n. Which is the nearest to 2? (a) 2 (b) -0.3 (c) k
a
Let a = -38.39 + 38.69. What is the closest to 5/7 in a, 2/7, 4, -44?
a
Suppose -7*q = 200 - 214. Let y = 0.48 + 1.72. Let f = y - 2. What is the nearest to q in f, -4, -0.4?
f
Let p = -4828.5 + 4828. Which is the closest to p? (a) 4/5 (b) -0.6 (c) -2/7
b
Let c = 9/38 - 14/19. What is the nearest to -7/6 in 2/11, c, 2/79?
c
Let t = 35667 - 35667.4. What is the closest to 1 in 33, t, 2/31?
2/31
Let y = -1.96 + 2. Let s = -23687 + 23686.5. What is the nearest to y in -1, -0.2, s?
-0.2
Let k = 0 - 0.1. Let y = 183.2 - 541.2. Let d = y + 361. What is the nearest to 2 in d, k, 1/5?
d
Let j be 15924/(-30) - 0 - (1 - 5). Let q = j + 527. Let n = -1 - -0.8. What is the closest to n in q, -1, 2/3?
q
Suppose 2*q - 1 - 1 = 0. Suppose 4*g + h - q = 0, 0*g + 4*h + 16 = 4*g. Let m = 4166 - 4167. Which is the closest to m? (a) g (b) -0.3 (c) -0.1
b
Suppose 5*t - 115 + 20 = -2*r, 74 = 4*t + 2*r. Let q be (-16)/t - (-22)/231. Let i = -3.5 + 2.8. What is the closest to 1/4 in i, 5, q?
q
Let y = -173.14 - -173.34. Let k = -137 - -137.61. What is the closest to k in -0.2, y, -5?
y
Let i = -35908 - -106604/3. Let t = -373 - i. What is the closest to -0.2 in -0.3, t, 0?
-0.3
Let g = -3.66 + 4.66. Which is the closest to -1? (a) 22/21 (b) g (c) 4/7
c
Let h = 18.3 - 18.5. Let f = 4141/2 - 2070. What is the nearest to f in h, -5, -0.8?
h
Let r = 0.00771 + 0.20229. What is the closest to 0.2 in 4, r, 0, -1/2?
r
Let z be (-2)/(-4) + (-1)/(-2). Let f = -0.01 - 0. Let x = -773.75 + 768.75. What is the closest to z in f, x, 4?
f
Suppose h - 243 = 5*x, 4*h = -x - 2*x + 1087. Let m = -268 + h. What is the closest to 1 in m, -4, -3?
m
Let l be 22/255*-3 + (-50)/(-850). Let k be (-8 - -2)/(3 - 2). Let i be 3 - 1 - k/(-4). What is the nearest to -4 in 4/3, i, l?
l
Suppose -50*q = 26*q + q + 231. Let m(j) be the second derivative of j**4/12 + 5*j**3/6 + 3*j**2/2 - j. Let s be m(q). What is the nearest to 1 in s, -2, 3/4?
3/4
Let q = -4 - -4.1. Let i = 29 - 201/7. Let l be (-4)/(-4) + (-676)/468. Which is the nearest to i? (a) 3/5 (b) l (c) q
c
Suppose 2*l - 16 = -2*i, 20 = 9*i - 5*i. Let t be 88/220 - (1 + -1). Let y = -0.1 - 1.9. What is the closest to y in l, t, -2?
-2
Let w = 27515/3 + -9172. Which is the nearest to w? (a) 0.4 (b) 2/491 (c) -0.5 (d) -4
c
Let c = 16.4 + 25.3. Let j = -5.8 + c. Let i = -36 + j. What is the closest to i in 0.1, 4, 10?
0.1
Let y = 1.8408 + 0.1592. Which is the closest to 1/3? (a) 274 (b) y (c) -1
c
Let v = 14013 + -14089. What is the nearest to -0.1 in -4, -27, v?
-4
Let v = 0.1 + 0.4. Let h be ((-2)/4)/((-5)/10). Let d be 11 + (16 - 3) + -21 - (-13)/(-4). What is the closest to 0.1 in v, h, d?
d
Let f be 5 + (-17)/(-5) + 2/(-5). Suppose 5*i = -f*i + 14*i. Let j = 54 - 36. What is the nearest to i in 0, 1, j?
0
Let y = 16 + -21. Let k = -147 - -41. Let n = k - -105. Which is the closest to n? (a) y (b) 1/6 (c) 1
b
Suppose -13*y - 40 = 64. Let c be (4/y)/(6/(-8)). What is the nearest to -5 in 3/5, 0.2, c?
0.2
Let z = -1490 - -1490.5. Let y = -36 + 61. Let i = -101/4 + y. What is the nearest to i in z, -3, 4?
z
Let a = 31811 - 349922/11. What is the nearest to a in -11, 5, 0.1?
0.1
Let w = -1.35 - -91.35. Let d = w + -90.4. Which is the closest to -2? (a) 4 (b) 1 (c) d
c
Let g be 2/(-6) - 4/(-6). Let i = -164.64 + 165.14. Which is the closest to 3/4? (a) i (b) g (c) -2/11
a
Let n = -232/13 - -1843/104. Let v = -1051/5 + 211. What is the nearest to v in n, -3, -0.3?
n
Let l = -17221 + 17218. What is the closest to 71 in 3, l, -2/25?
3
Let l be 5*(267/10 + 5/10). Let y = 141 - l. Which is the nearest to -6? (a) y (b) -2 (c) -3
c
Let c = -689 - -690. Let k = -31 + 31.3. What is the closest to c in 3/8, -1, k?
3/8
Let r = -0.0045 - -0.0645. Which is the closest to 0.85? (a) r (b) 1/4 (c) 0.4 (d) -1
c
Let h = -22213/19 - -1169. Let t(n) = -n**2 + 7*n + 15. Let c be t(9). What is the nearest to -0.2 in 3, h, c?
h
Let k = 1248 - 1363. Let r = 135 - 251. Let a = r - k. What is the nearest to a in 0.35, 1/7, 2?
1/7
Let h = -69.28 + 71.28. Let j = 3.6 - 4. What is the nearest to j in 7, 2/9, -3, h?
2/9
Let n be 58/(-18) - 8/(-36). Let s be 5/(-7 - n - -3). Which is the nearest to -0.2? (a) 0.5 (b) -0.2 (c) s
b
Let s = 66 - 64.6. Let c = -1.4 + s. Let f be -2 + (-1 + (-3)/6)*-2. What is the closest to f in 0.1, 0.5, c?
0.5
Let r = 71.346 + -70.346. Let a = 1.1 - -3.9. What is the nearest to r in -2, -50, a?
-2
Let t = -0.28677 + 0.37677. What is the closest to -2/5 in t, -0.2, -2/13?
-0.2
Let v be (-2)/(-85)*10/2. Let f = 36.3264 - 0.0264. Let c = f - 35.3. What is the closest to 6 in v, 0.5, c?
c
Let r = 2564/7 - 366. Let a be (-4)/((-3)/(9/6)). Suppose 0 = -3*d + a*d - 1. What is the nearest to r in d, -5, -3/4?
-3/4
Let q = -9417 - -9418. What is the closest to q in 12, -0.3, -2/9?
-2/9
Let r(u) = 30*u - 3390. Let h be r(113). Let o(m) = -m**3 - 2*m**2 + 2*m. Let t be o(-3). Let x = 0.1 + 0.1. Which is the nearest to h? (a) t (b) 2.9 (c) x
c
Let k = -5.84 + 5.34. Let v(l) = 3*l + 6. Let h(t) = -2*t - 7. Let b(i) = -4*h(i) - 3*v(i). Let s be b(11). What is the nearest to -2/5 in 2, k, s?
k
Suppose 26 = i - 5*w, 2*i + 3*w + 14 - 1 = 0. What is the closest to 1/2 in 3/4, -8.22, -3, i?
3/4
Let i = 1074 - 1072. Which is the closest to i? (a) -1 (b) 45 (c) 1/5
c
Let h = 0.25 - -5.75. Let f = -9 + h. Suppose -2*l + 3*q = -19, -3*l + 3*q + 23 = -1. Which is the closest to -1? (a) l (b) 0.1 (c) f
b
Let r = 2.85 + -3.973. Let d = r + 0.623. What is the closest to -1 in d, 0.5, 4?
d
Let v = 2/367 - 752/3303. What is the closest to 53 in 3/2, -2/5, v, 0.02?
3/2
Let b be (-1 - (-2 + 2))*255/(-340). What is the closest to -0.4 in 44, b, -4/9?
-4/9
Suppose 285*t = 289*t - 52. Suppose -3*z + 0*z - t = o, -1 = -z - 3*o. Which is the closest to 0.3? (a) 3 (b) z (c) 3/2
c
Let n = -4566 + 4561. Let k = 9.11 + -0.11. Let o = k + -9. Which is the nearest to o? (a) n (b) 2/25 (c) 0.1
b
Let s = -0.02 - -0.12. Let p = -0.4191 + 0.2191. What is the closest to s in -0.4, -3, p?
p
Let u = -5 + 5.1. Let j be (-6)/4 - 8/(-112)*-7. Let f be (-1)/((-2)/j) - 99/(-66). What is the closest to u in f, 0.38, 1?
0.38
Let t be ((-1)/(25/10))/((-2)/60). Suppose -3*k = -0*k - t. Let z be 0*(-3)/9 + k/18. Which is the nearest to z? (a) -2/15 (b) 9 (c) 3
a
Let p be (-60)/8 + 6 + (-85)/(-30). What is the closest to 2/9 in p, 2, -1/16, 5?
-1/16
Let a = 65.13 + -65.13. What is the closest to a in -5.4, -1, 0.9?
0.9
Let l = -3509 - -3513. Which is the nearest to 2/7? (a) l (b) 5 (c) 2 (d) 15
c
Let o = -420 + 427.3. Let k = o - 10.3. Which is the closest to -0.5? (a) -3/4 (b) -5 (c) 1 (d) k
a
Let q = 161/171 - 20/19. Let m be (2/(-5))/(456/950). Let d = 3.1 + -3. Which is the nearest to d? (a) 3/5 (b) q (c) m
b
Let s = 31 - 30.6. Let r = -7.6 + -3.4. Let n = r - -11. Which is the nearest to n? (a) s (b) -1 (c) 5
a
Let z = -83055504/17 - -4887404. Let d = z - 1787. Let h = -21/34 + d. What is the nearest to -1/3 in 4, -0.5, h?
-0.5
Let g = 1627.1 - 1627. Let o = 1 + 38. Let p = 39 - o. Which is the closest to p? (a) -0.6 (b) -3/2 (c) g
c
Let x = -1.913 + 0.013. Let q = -1.32 - x. Let j = q - -0.42. What is the nearest to 0.1 in j, -4, -0.2?
-0.2
Let p = -798 - -802.53. Let z = p + -0.53. Let n = 23 - 22. Which is the closest to n? (a) -3 (b) z (c) -5
b
Let q = 0.0368 - -202.9632. Let g = q - 202. What is the nearest to g in 0, 0.8, -3?
0.8
Let l = -3 + 2.9. Let q(j) = 29*j + 417. Let i be q(-10). Suppose -75 = 52*b - i. What is the nearest to 1 in b, l, 0.09?
b
Let p = 7702 - 7704. Which is the closest to p? (a) -2/5 (b) 18 (c) 2/5 (d) 3
a
Let l = 217 - 215.59. Let t = 2.59 + l. Which is the nearest to -1? (a) 0 (b) t (c) 0.4
a
Let q be (45/(-450))/((-16)/(-60)) | {
"pile_set_name": "DM Mathematics"
} |
*u for u.
-2
Let j be (-10)/(-35) + (-6)/21. Solve -o - 1 = -j*o for o.
-1
Let k = -18 - -22. Suppose -v = k, -43 = -4*o - 2*v - 3. Solve -o = -4*y + y for y.
4
Let v be 2*6/(-4) - -8. Suppose 0 = -k + v*k. Let u(o) = o + 4. Let a be u(k). Solve -a*t + 1 = -19 for t.
5
Suppose 0*b - b - 3 = 2*a, 2*a = 4*b - 18. Let c = b + -3. Let s be 0 - (c - -2)/(-1). Solve s*h = -0*h for h.
0
Suppose 3*b - 2*c - 64 = 0, 0*c = -b + 2*c + 16. Suppose -b = -3*v + q - 6*q, 27 = 5*v + 4*q. Suppose -5*h = v - 13. Solve -1 = -n + h for n.
3
Suppose 3*u = r - 13, 4*r - 4*u + 2 = 30. Let d be 5 - (-2 + 0 + r). Solve d = n - 2 for n.
5
Let z(r) = r**2 - 4. Let o be z(3). Solve -o + 0 = v for v.
-5
Let j(y) be the second derivative of -2*y**2 + 0 - 1/12*y**4 - 5/6*y**3 + 3*y. Let m be j(-3). Solve -m*k + 4*k = -6 for k.
-3
Let g be 8*(6/(-4))/(-3). Solve 8*y = g*y - 12 for y.
-3
Let t = -2 - -4. Let n be t*3/((-6)/(-4)). Solve n*o = -o - 10 for o.
-2
Let q(a) = 6*a**2 + 2*a. Let r be q(-3). Suppose 4*x - 3*n - n - r = 0, -n = -3*x + 42. Solve 9*d - x = 4*d for d.
3
Let z = -29 + 32. Solve -z*n + 8 = -1 for n.
3
Let s(z) = 2. Let d(v) = -v + 2. Let l(p) = -2*d(p) - 6*s(p). Let j be l(11). Let a = j - 4. Solve r + a = -0 for r.
-2
Let o = 2 - 0. Suppose f = o*f - 4. Solve f*c = 4 - 20 for c.
-4
Let y be 4 - 1 - (0 + 0). Let r(o) = 5*o**2 + 2. Let m be r(2). Let u = m + -10. Solve n + u = -y*n for n.
-3
Suppose -5*m = 5*t - 2*t - 37, 5*m + t - 29 = 0. Suppose 0 = c + 3*d - 1, 2 = -c - m*d - 3. Solve z = 3*z - c for z.
5
Suppose 0 = 3*w - 0*w - y - 11, -4*w + 21 = 5*y. Solve w*c = 10 - 2 for c.
2
Suppose -15 = -4*k - k. Let v be (-48)/(-18) - 2/k. Let m be (-1 - -3) + 2*v. Solve s - m = -3 for s.
3
Let m(v) = 3*v**2 + v. Let z be m(1). Let g be z*((-9)/(-6) + -2). Let s be 7 + -10 + (-8)/g. Solve 3*h = -s - 14 for h.
-5
Let s = -140 - -143. Solve 15 = -0*w + s*w for w.
5
Let i = -3 + 8. Suppose -3*y = -9, -i*k + 20 = -k + 4*y. Let s be ((-3)/15)/(k/(-10)). Solve -b - 2 + s = 0 for b.
-1
Suppose b - c - 1 = 0, -c = 4*b - 3*b - 7. Solve 11 - 3 = -b*q for q.
-2
Let h(w) = -w - 1. Let t be h(-5). Solve -t*z + 0*z = 4 for z.
-1
Suppose -3*w + 32 = -1. Solve -w = -3*l + 4 for l.
5
Let r be 0/((0/3 - -2) + 0). Solve r = 2*s - 8 for s.
4
Suppose -5*v + 135 = -45. Let h be ((-2)/(-6))/(3/v). Solve -4 = -0*m + h*m for m.
-1
Let h = 21 - 16. Solve h*z = 3*z + 6 for z.
3
Let s = 23 + -23. Solve v + s = 3 for v.
3
Suppose -3*b = -4*g - 21, 2*g = b + 4 - 13. Let n = -3 + b. Solve -3 + n = -3*j for j.
1
Suppose 3*q - 4 = 8. Solve 1 = -q*y - 3 for y.
-1
Suppose g + 25 = 5*h + 3, 4*h - 23 = -g. Solve 2*y = g*y for y.
0
Suppose -u = -4*z - z - 25, 0 = -3*u - 3*z - 15. Solve 3*r = -u - 6 for r.
-2
Let t = 3 + -6. Suppose -6*o - 21 = 3*n - 2*o, -4*o - 15 = n. Let p = t - n. Solve p*c = c + 3 for c.
-3
Let c(s) = -s**2 - 30*s - 62. Let p be c(-27). Solve 4*y + p = 7 for y.
-3
Let u be (-3)/6 + 31/2. Let y be 0/(3/1 + -2). Let v = 2 + y. Solve v*c - u = -c for c.
5
Suppose -5*p - 5*v + 105 = 0, -90 = -5*p - 4*v + 2*v. Suppose 0 = -4*r - p, -2*s - 2*r + 4*r = -14. Solve s*w + 2 = 14 for w.
4
Let m = -2 + 15. Solve 3*j - m = -1 for j.
4
Let b be (-5)/(-2) - 13/(-26). Solve -4*r = b + 9 for r.
-3
Let m(d) = d**3 + d**2 + d + 22. Let z be m(0). Let s be z + 0 + -2*1. Suppose s = -0*g + 4*g. Solve g*k - 11 = -1 for k.
2
Let a(c) = c**3 - 13*c**2 + 12*c. Suppose -13 = 2*u - 1. Let t(m) = m**3 + 6*m**2 - 2*m. Let v be t(u). Let z be a(v). Solve 0 = -3*y + 15 - z for y.
5
Let s be (2/5)/(2/10). Let o = -39 - -42. Solve o*n = s*n - 4 for n.
-4
Let i be -1*-1*4*1. Suppose i*x = -x. Solve -j = -x*j for j.
0
Let c be (0 + -16)*3/(-4). Let q be 206/14 - c/(-42). Let n be 18/5 - 9/q. Solve o = n*o for o.
0
Suppose -4*j = -f - f + 2, -2*f + 2 = 3*j. Solve j + 12 = 3*t for t.
4
Suppose 0*o = -2*o - 64. Let c be -4 - o/((-16)/(-4)). Solve c*r = 8*r + 16 for r.
-4
Let h(w) be the second derivative of -w**4/12 - w**3/3 - w**2/2 + w. Let j be h(-2). Let i be (3/6)/(j/(-6)). Solve i*u + 12 = -0 for u.
-4
Let k(i) = i**3 + 19*i**2 - 21*i - 9. Let p be k(-20). Solve 12*j - p*j = -4 for j.
-4
Let u be (3/(-2))/((-21)/224). Let t = u + -14. Solve -t = -5*l + 3*l for l.
1
Let y(b) = 4*b - 23. Let k be y(6). Solve -3*o = k - 4 for o.
1
Let z be 0/((-1 + -1)/(-2)). Suppose -3*t + 16 = -2. Solve -t = -z*v + 2*v for v.
-3
Let k be -4*-3*4/12. Suppose -k*v + 1 = -5*a, -5*v - 8 + 22 = -2*a. Solve -4 + 24 = -v*x for x.
-5
Let s(z) = -3*z. Let q be s(-1). Let y(j) be the first derivative of 7*j**2/2 - 5*j - 2. Let x be y(4). Solve x = -5*f + q for f.
-4
Suppose 3*m - 44 = 3*b - 2*b, 0 = 5*m + 2*b - 77. Suppose -5*v = -0*v - m. Let d(p) = p**2 + 2*p - 3. Let r be d(-3). Solve -v*s = -r*s + 3 for s.
-1
Suppose 4*m - 19 = -3*a, 2*a = -0*a - 2*m + 12. Let c = 10 - 6. Suppose -8 = -4*h - 4*y, 4*y = 5*h - y. Solve c*n + h = a for n.
1
Let k be 16 - 3/((-6)/4). Suppose k = 5*d - 3*o, -4*d + 3*o + 2*o = -17. Let y(t) = t**2 + t + 4. Let j be y(-3). Solve d*l = l - j for l.
-5
Suppose 4*a = 2*t - 40, -a - 6 + 41 = 2*t. Let i = t + -18. Solve -2*z + i - 2 = 0 for z.
-1
Let k(j) be the first derivative of j**3/3 - j - 1. Let y be k(1). Solve 3*p - p + 4 = y for p.
-2
Let x(u) = 4*u**2 + u. Let g be x(-1). Let h(p) = -2*p**2 + p. Let s be h(0). Solve s = -b - g*b + 16 for b.
4
Suppose 3*s = 74 + 7. Suppose 2*i + o - 5 = 0, 7 = 4*o + s. Suppose 0 = -23*x + 21*x + 28. Solve -i*j - 11 - x = 0 for j.
-5
Suppose 0 = -3*b + 6, 0 = 4*x - 2*b - b + 22. Suppose -2*d + 4 = -4. Let o = x + d. Solve -v = -o*v + 2 for v.
-2
Let f(g) = g**2 + 3*g - 4. Let r be f(-4). Let k(o) = -o**3 + 4*o**2 + 3*o + 4. Let a be k(4). Let q = 17 - a. Solve -s + r = q for s.
-1
Suppose -8 = -7*c + 3*c. Solve 3*l + 4 = c*l for l.
-4
Let h = 50 + -27. Suppose -h = -2*q - 5. Let g be ((-6)/5)/(q/(-30)). Solve 5*c - c + g = 0 for c.
-1
Let c = 9 - 6. Let q be (-205)/(-15) - 2/c. Solve -q = -5*l - 3 for l.
2
Let c be (18/(-21))/((-1)/7). Solve 3*d - 12 = c*d for d.
-4
Let t(k) = -k - 2. Let u be t(-6). Solve -4 = -5*f + u*f for f.
4
Let x = 125 + -116. Solve x*i = 8*i - 2 for i.
-2
Let r = -1 - 0. Let t(p) = p + 5. Let m be t(-6). Let b be (2 + (m - r))*1. Solve 10 = -0*g + b*g for g.
5
Let l(v) be the third derivative of v**5/30 + v**4/8 + 3*v**2. Let g be l(-2). Solve g*d + 5 + 3 = 0 for d.
-4
Let u be (-14)/(-91) - 111/(-39). Solve 4 = 2*a - u*a for a.
-4
Let s(z) = z**2 - z + 7. Let d be s(0). Let v(g) = g - 2 + 2 - 5. Let j be v(d). Solve -j*u = u - 9 for u.
3
Let h(m) = -m**2 + 5*m - 2. Let x be h(3). Solve -x = 3*f + f for f.
-1
Let p(y) = -y - 3. Let h be p(-6). Suppose 0*o = 4*i + 2*o, 0 = 4*i + o. Solve h*k + 8 - 2 = i for k.
-2
Let t = 105 - -10. Suppose 6*v = -4*z + 4*v + 62, 5*z - 5*v = t. Solve -5*y + z = -2 for y.
4
Let m be (-12)/3*(-3)/6. Solve m*z = -2*z + 12 for z.
3
Suppose 2*j - 8 = p, 2*j - 3*j + 7 = p. Let o be (3 - 1) + 2/2. Solve -o*i + p = -i for i.
1
Let w(v) = 2*v**3 - 3*v**2 - v - 4. Let n = 6 + -3. Let m be w(n). Suppose 0 = -5*c - m + 60. Solve -4*k - c = -0 for k.
-2
Let c be ((-1 - -1) + -1)*-2. Let r be (4/c)/(0 - -1). Solve -2*v + 10 - r = 0 for v.
4
Suppose 0 = -4*i + v - 2*v + 12, 4*i = -5*v + 28. Solve -2*p + i = -0*p for p.
1
Suppose -23 - 27 = -5*m. Let r = -10 + m. Solve r = 4*l - 0 + 16 for l.
-4
Suppose 3*f - 17 = -5*t + 12, 0 = 2*t - 4*f + 4. Let w(k) = -4*k**3 - 3*k**2 + 3*k. Let y be w(2). Let h be y/(-4) + (-3)/6. Solve 0 = -c + t*c - h for c.
3
Let m = -9 + 13. Suppose 0 = 2*t - r - 3 - 5, -m*t - r = -16. Solve -t*a - 8 = -0 for a.
-2
Suppose -1 = -2*r - r + 2*a, 2*a + 4 = 4*r. Solve r*i - 7 - 5 = 0 for i.
4
Let k be 4/3 + 12/18. Solve j + k*j = -15 for j.
-5
Let z = 19 + -16. Solve 0 = z*c + c for c.
0
Let x(k) = -k**2 + 12*k - 8. Let j be x(11). Suppose 2*p - 25 = -j*p. Solve -b - p = -0 for b.
-5
Suppose -x - 2*x - 2*y = 19, 17 = -5*x + 4*y. Let l = x - -9. Solve 0*o - 20 = -l*o for o.
5
Let u(d) = d**3 - 9*d**2 - 10*d + 2. Let n be u(10). Suppose -57 = -4*b - 17. Let a = b - 7. Solve n*c - a*c = -3 for c.
3
Suppose 0 = -4*o - 5*i + 25 - 2, 5*i - 7 = 4*o. Let v be (-3)/(o + -5) + 1. Let u = 14 + -8. Solve u*w = 5*w - v for w.
-2
Let g(i) = -6*i**3 + 2*i**2 + 2*i + 1. Let r be g(-1). Solve -2*b = -r*b + 20 for b.
4
Supp | {
"pile_set_name": "DM Mathematics"
} |
a**2 + 1/5*a**5 + 0*a - 8/3*a**v - 1/12*a**6. Factor h(m).
2*(m - 2)**3*(m + 1)
Let z be 15/(-2)*8/10*-1. Suppose -u = z - 17. Suppose 52 - u + 4*f**2 - 5 - 24*f = 0. Calculate f.
3
Let v(d) be the second derivative of d**6/285 - d**5/38 - 17*d**4/114 + 43*d**3/19 - 180*d**2/19 - 184*d. Find r, given that v(r) = 0.
-5, 3, 4
Let q(l) = 2*l**4 + 71*l**3 - 128*l**2 + 64*l + 9. Let j(y) = 18*y**3 - 32*y**2 + 16*y + 2. Let r(w) = 9*j(w) - 2*q(w). Determine n, given that r(n) = 0.
0, 1, 2
Solve 22400 + 61610*n**2 + 3418*n**3 - 418*n**3 + 6154*n**3 + 60*n**5 - 494*n**3 - 122240*n + 100846*n**2 - 2024*n**4 = 0.
-7, 1/3, 2/5, 20
Let n be 2265 + -2294 + 31*1. Find u such that -2 + 12/7*u + 2/7*u**n = 0.
-7, 1
Let y(d) be the first derivative of -2/15*d**3 - 1/15*d**4 - 14*d + 20 + 0*d**2. Let o(p) be the first derivative of y(p). Factor o(z).
-4*z*(z + 1)/5
Let r(h) be the first derivative of 2*h**5/35 + 204*h**4/7 + 36992*h**3/7 + 2515456*h**2/7 - 2103. Factor r(v).
2*v*(v + 136)**3/7
Let k(i) be the first derivative of 1/11*i**2 + 1/22*i**4 - 4/33*i**3 - 56 + 0*i. Let k(b) = 0. Calculate b.
0, 1
Let m(z) be the third derivative of 1/4*z**4 + 0 + 1/30*z**5 + 4*z - z**2 + 2/3*z**3. What is a in m(a) = 0?
-2, -1
Let p(x) be the second derivative of 0*x**3 + 4*x + 0*x**2 - 1/12*x**4 + 0. Let z(k) = -8*k**2 - 28*k - 8. Let y(f) = -12*p(f) - z(f). Factor y(a).
4*(a + 1)*(5*a + 2)
Let l(r) be the second derivative of -r**6/1440 + r**5/24 + 7*r**4/32 - 2*r**3/3 + 7*r**2 + 4*r - 10. Let w(m) be the second derivative of l(m). Factor w(p).
-(p - 21)*(p + 1)/4
Let c(a) be the second derivative of -a**5/20 + 239*a**4/12 - 6832*a**3/3 - 37210*a**2 + 841*a. Solve c(u) = 0 for u.
-5, 122
Let c = 75 + 15. Let o be 4/18 + 1420/c. Factor 17*q - 16*q + 0*q**2 - q**2 - 9*q - o.
-(q + 4)**2
Let r(g) be the second derivative of -7*g**5/75 - 29*g**4/60 - 2*g**3/15 - 179*g**2/2 - 21*g - 4. Let l(m) be the first derivative of r(m). Factor l(j).
-2*(j + 2)*(14*j + 1)/5
Factor 115*b - 232 + 1/2*b**2.
(b - 2)*(b + 232)/2
Let -68*h**4 - 34*h**3 + 2700 - 101*h**3 + 31*h**4 - 1545*h + 34*h**4 - 1017*h**2 = 0. What is h?
-36, -5, 1
Let q = 652 + -650. Factor -21 + 10*z**2 - 20*z - 8*z**q - 6 + 0*z - 21.
2*(z - 12)*(z + 2)
Let g(j) = j**3 - 13*j**2 - 15*j + 18. Let p be g(14). Let s be 2 + 5 + (-9)/3. Factor l**4 - 2*l**s - p*l**3 - 8*l**2 - 3*l**2 + 7*l**2.
-l**2*(l + 2)**2
Let j(t) be the first derivative of -t**6/3 + 18*t**5/5 + 24*t**4 + 104*t**3/3 + 294. Factor j(b).
-2*b**2*(b - 13)*(b + 2)**2
Let b be (-2*43/(-2))/((-5)/(-10)). Factor 46 - 4*z**3 - b + 12*z + 48.
-4*(z - 2)*(z + 1)**2
Let r(c) be the first derivative of -49 - 1/2*c + 3/8*c**2 - 1/12*c**3. Factor r(n).
-(n - 2)*(n - 1)/4
Let r = -255 + 257. Let i(d) = d**2 + 2. Let m be i(-3). Suppose -m*v - 19*v - 85 - 3*v**r + 10 = 0. What is v?
-5
Let d(a) be the second derivative of -a**5/80 - 1885*a**4/16 - 3553225*a**3/8 - 6697829125*a**2/8 - 7829*a. Let d(b) = 0. Calculate b.
-1885
Let j be 26*40/9100*35. Determine k so that 31/9*k**2 - 5/9*k - 17/3*k**3 + k**j + 0 = 0.
0, 1/3, 5
Let r(b) = -5 - b**2 - 4 + 12 - 3. Let z(m) = -50*m**3 - 256*m**2 - 220*m - 16. Let f(j) = -4*r(j) + 2*z(j). Factor f(s).
-4*(s + 1)*(s + 4)*(25*s + 2)
Find i such that -8*i**2 - 171*i - 121 + 14*i**2 + 61*i**3 - 60*i**3 - 90*i**2 + 35 = 0.
-1, 86
Let t = 437 + -432. Suppose 3*r - t*f = 15 - 10, r - 4*f = 4. Factor 0*a - 1/2*a**2 + 2/3*a**3 + r - 1/6*a**4.
-a**2*(a - 3)*(a - 1)/6
Let g(x) be the third derivative of x**8/1008 + 79*x**7/630 + 209*x**6/45 + 361*x**5/15 + x**2 - 2068*x. Factor g(r).
r**2*(r + 3)*(r + 38)**2/3
Let r(u) = u**3 - 49*u**2 - 867*u - 4911. Let d(i) = -41*i**2 - 5 + 3 + 3 + 351*i**3 + 42*i**2 - 350*i**3. Let w(c) = 6*d(c) - 3*r(c). Factor w(f).
3*(f + 17)**3
Determine b, given that -128018 - 5/3*b**5 + 707135/3*b + 762536/3*b**2 - 108702*b**3 + 2542/3*b**4 = 0.
-1, 2/5, 3, 253
Let y = -83183 - -83185. Let -32/9*d**y + 2/9 - 10/3*d = 0. What is d?
-1, 1/16
Suppose 2754 - 30*f**3 - 54*f**4 - 409*f - 2752*f - 1132*f + 1620*f**2 + 3*f**5 = 0. Calculate f.
-6, 1, 3, 17
Let n(c) be the second derivative of -11/60*c**5 + 0*c**2 - 2/9*c**3 - 1/30*c**6 - 1/3*c**4 + 59*c + 0. Factor n(a).
-a*(a + 1)*(a + 2)*(3*a + 2)/3
Let q be 72/28 - ((-520)/48 - -11)*0. Suppose 0 - q*x**2 - 2/7*x**3 - 16/7*x = 0. Calculate x.
-8, -1, 0
Let f = -505910102/459 + 1102202. Let g = f + -4/459. Factor -g*x + 4/3*x**2 - 4/3 + 4/3*x**3.
4*(x - 1)*(x + 1)**2/3
Let q be 10/8 + (-156)/(-16) + -9. Find t such that 5*t - 324*t**2 - 77 + 329*t**q + 17 = 0.
-4, 3
Let r be 12/((23 - (20 - 3)) + (0 - 5)). Let t(g) be the second derivative of -2/3*g**3 + 0 - r*g + 0*g**2 + 1/6*g**4. Let t(j) = 0. What is j?
0, 2
Let f(h) = -4*h**4 - 62*h**3 - 40*h**2 + 18*h. Let s(t) = -t**4 - 6*t**3 - 5*t**2. Let r(i) = -2*f(i) - 12*s(i). Suppose r(m) = 0. Calculate m.
-9, -1, 0, 1/5
Let n(j) be the third derivative of 2*j**7/15 + 2*j**6/15 - 59*j**5/15 - 10*j**4 + 24*j**3 - 2*j**2 + 34. Factor n(q).
4*(q - 3)*(q + 2)**2*(7*q - 3)
Let u(d) be the third derivative of 2*d**7/105 + 7*d**6/30 + d**5/3 - 7*d**4/6 - 4*d**3 + 1878*d**2. Factor u(z).
4*(z - 1)*(z + 1)**2*(z + 6)
Let k(s) be the second derivative of s**4/78 - 66*s**3/13 + 9801*s**2/13 + s + 151. Let k(j) = 0. What is j?
99
Let f(q) be the first derivative of -2*q**5/25 + 13*q**4/10 + 58*q**3/15 + 3*q**2 + 1001. Determine g, given that f(g) = 0.
-1, 0, 15
Let a(i) = -12 - 3 + i**2 + 203*i - 184*i - 5. Let f be a(15). Determine v so that 33 - f*v**2 + 63*v + 225*v**3 - 37 + 44 - 3*v = 0.
-2/9, 2/5, 2
Solve 2/5*o**2 + 792/5 - 144/5*o = 0 for o.
6, 66
Let o(y) = 2*y**3 - 7*y**2 + 310*y - 302. Let n(i) = 5*i**3 - 14*i**2 + 618*i - 602. Let f(p) = -6*n(p) + 14*o(p). Factor f(j).
-2*(j - 14)*(j - 1)*(j + 22)
Factor 88/3 + 118/3*p**2 + 2*p**3 - 304/3*p.
2*(p - 2)*(p + 22)*(3*p - 1)/3
Let g(j) be the first derivative of j**4/44 + 104*j**3/11 + 927*j**2/22 - 2073. Factor g(y).
y*(y + 3)*(y + 309)/11
Let n be 4/(-80)*95/(-38) - 52/(-32). Factor -23/4*q**2 + 2 + n*q**3 - 11/2*q.
(q - 4)*(q + 1)*(7*q - 2)/4
Factor 348*s - 202 + 18 + 4*s**2 - 128 - 40.
4*(s - 1)*(s + 88)
Let v(n) be the third derivative of 0*n**4 + 0*n + 170*n**2 + 0*n**3 + 0 - 1/195*n**5 + 1/780*n**6. Let v(d) = 0. Calculate d.
0, 2
Let l(t) = 12*t - 34. Let u be l(8). Let g = -47 + u. Factor -g - 9*h - 29*h - 17*h + 20*h**2.
5*(h - 3)*(4*h + 1)
Let u(a) be the second derivative of -a**6/30 + 109*a**5/5 - 11881*a**4/2 + 2590058*a**3/3 - 141158161*a**2/2 - 1721*a. Suppose u(q) = 0. Calculate q.
109
Determine l, given that -3/2*l**3 - 225*l + 648 - 93/2*l**2 = 0.
-24, -9, 2
Let y = 603 + -602. Suppose -l + 5 = 2*j, -l = -5*j + l + 17. Solve j*x**3 + x + 6*x**2 + 0*x**3 - 4*x**3 - y - 5 = 0 for x.
-1, 1, 6
Let w(m) be the first derivative of -95/2*m**2 + 25/2*m + 19*m**4 + 288 + 8/5*m**5 + 107/2*m**3. Suppose w(c) = 0. What is c?
-5, 1/4
Let o(b) be the third derivative of -b**5/120 - 229*b**4/48 + 77*b**3/2 - 38*b**2 + 12*b. Solve o(t) = 0 for t.
-231, 2
Let l be (2 + 0)/((-9)/(-198)*11). Suppose -95*p**2 - 169*p**5 - 45*p**l + 24*p + 105*p**3 + 6*p - 169*p**5 + 343*p**5 = 0. What is p?
0, 1, 6
Let n be 1/(-6) + -43 + 19348/504 - (-5)/1. Solve 0*d + 32/3*d**3 - 128*d**2 - n*d**4 + 0 = 0.
0, 24
Let x(i) = -3*i**2 - i - 18. Let r(g) = -57*g**2 + g - 36 + 56*g**2 + 35. Let y(a) = -20*r(a) + 5*x(a). Factor y(v).
5*(v - 7)*(v + 2)
Let p be ((-336)/(-18))/8*3 + -2. Suppose -13 = -2*y - 5, 4*y = -p*w + 26. Let 8/5*c**w - 2*c + 4/5 - 2/5*c**3 = 0. Calculate c.
1, 2
Solve 290*j**3 + 140*j - 132*j**2 + 4*j**4 + 278*j**3 + 287*j**3 - 867*j**3 = 0.
-5, 0, 1, 7
Let w = -239/50 - -249/50. Let z(y) be the first derivative of 2/25*y**5 + 28 + 6/5*y - w*y**4 - 8/15*y**3 + 2/5*y**2. Find f such that z(f) = 0.
-1, 1, 3
Let x be 12/32 + (7474/592 - 10). Let -2/13*k + 0 + 0*k**x - 4/13*k**4 + 2/13*k**5 + 4/13*k**2 = 0. What is k?
-1, 0, 1
Let y = -567 - -567. Let z(m) be the third derivative of 3/50*m**6 + y + 0*m + 1/20*m**4 + 0*m**3 + 1/70*m**7 + 17*m**2 + 9/100*m**5. Factor z(g).
3*g*(g + 1)**2*(5*g + 2)/5
Let b(m) be the second derivative of 1/42*m**7 + 0*m**2 - 1/30*m**6 - 1 + 0*m**3 + 1/3*m**4 + 8*m - 1/5*m**5. Factor b(o).
o**2*(o - 2)*(o - 1)*(o + 2)
Let d = -2031064 + 18279589/ | {
"pile_set_name": "DM Mathematics"
} |
*3/15 - 21*y**2/5 - 8*y - 611. Factor p(z).
-2*(z + 1)*(z + 20)/5
Let y(d) = d**2 + 1. Let r(p) be the third derivative of 1/3*p**4 - 8*p**2 + 5/6*p**3 + 0 + 0*p + 3/20*p**5. Let n(a) = r(a) - 5*y(a). Factor n(w).
4*w*(w + 2)
What is c in 0 - 3168*c + 526/11*c**3 + 4/11*c**4 - 2/11*c**5 - 48*c**2 = 0?
-11, 0, 12
Solve -8155*l - 1248*l - l**2 - 7107556 + 4071*l = 0 for l.
-2666
Let -38*t**2 - 29 + t - 13 + 36*t**2 + t**3 - 2*t + 44*t**2 = 0. Calculate t.
-42, -1, 1
Let t = 709 + -697. Let d be (40/(-60))/(1/(t/(-10))). What is b in -1/5*b**2 + d*b - 3/5 = 0?
1, 3
Let a(y) = -y**3 - 11*y**2 - 20*y - 22. Let t be a(-13). Let i = 4044/7 - t. Factor i - 36/7*p**2 - 6/7*p.
-6*(2*p - 1)*(3*p + 2)/7
Let h = 430 - 428. Solve 5*j**h + 90*j - 25443 + 25443 = 0.
-18, 0
Suppose 6*l - h - 41 = 3*l, 0 = -2*l + 5*h + 10. Suppose -p + 5*b = -4*p, 0 = -5*b - l. What is s in -20*s + 12 + p*s**3 - 5*s**2 - s**3 + 2*s**2 + 7*s**2 = 0?
-3, 1
Suppose 0 = -5*g - 107*g + 172*g - 46 - 74. Factor -15/8*j + 0 - 1/8*j**g.
-j*(j + 15)/8
Let d be -3 + (-331)/(-75) - 182/2275. Find p such that 2*p**2 + 0*p**3 - 2/3*p**4 - d*p + 0 = 0.
-2, 0, 1
Suppose 4*m - l - 2 = 28, -16 = -m - 4*l. Determine a so that -12*a**3 - 37*a**4 - 4*a**3 - m*a**2 - 8*a**5 - 22*a**3 + a**5 = 0.
-4, -1, -2/7, 0
Let t(h) be the first derivative of -h**6/840 - h**5/210 + h**4/168 + h**3/21 + 69*h**2 + 8. Let z(w) be the second derivative of t(w). Factor z(u).
-(u - 1)*(u + 1)*(u + 2)/7
Let b(c) = 2*c**2 + 8*c + 3. Let p be b(-4). Suppose 4*j - p*j = 5. Let -5*l**3 - 18 + 3*l - j*l**4 + 9*l**2 + 6*l**2 + 8 + 2*l = 0. What is l?
-2, -1, 1
Let h(q) = -3*q**2 + 3172*q + 518412. Let b(o) = 4*o**2 - 3166*o - 518411. Let p(t) = 8*b(t) + 9*h(t). Factor p(g).
5*(g + 322)**2
Let p(i) be the second derivative of 21/10*i**5 + 0 + 1/4*i**4 - 7*i**3 + 0*i**2 - 158*i - 1/10*i**6. Factor p(v).
-3*v*(v - 14)*(v - 1)*(v + 1)
Let u(q) = -5*q**3 + 2574*q**2 + 5163*q + 2602. Let p(r) = 70*r**3 - 36035*r**2 - 72280*r - 36430. Let l(h) = -6*p(h) - 85*u(h). Factor l(a).
5*(a - 518)*(a + 1)**2
Solve -11/3*z**2 + 4/3 + 7/3*z = 0 for z.
-4/11, 1
Let l(k) = 4*k**3 - 456*k**2 + 3168*k - 6208. Let c(x) = -2*x**3 + 230*x**2 - 1584*x + 3104. Let p(i) = -9*c(i) - 5*l(i). Determine u so that p(u) = 0.
4, 97
Let h(s) be the second derivative of 21*s**5/20 - 121*s**4/4 - 46*s**3 + 54*s**2 + 4*s + 77. Solve h(v) = 0.
-1, 2/7, 18
Suppose -13*b = -25*b + 7680. Let l = b + -640. Factor 0*n + 0 + 2/7*n**2 + l*n**3 - 2/7*n**4.
-2*n**2*(n - 1)*(n + 1)/7
Factor -2*i - 9*i**2 + 8 - 5/4*i**4 + 13/2*i**3.
-(i - 2)**3*(5*i + 4)/4
Factor 22*w**4 + 28*w**4 + 26692*w - 26692*w + 2*w**5 + 312*w**3.
2*w**3*(w + 12)*(w + 13)
Let r = 4399/24090 - 38/219. Let f(g) be the second derivative of 0 + 1/33*g**3 - 1/11*g**2 - 13*g + 1/66*g**4 - r*g**5. Find k such that f(k) = 0.
-1, 1
Let b(m) be the second derivative of 253*m - 35/3*m**3 + 60*m**2 + 5/12*m**4 + 0. Let b(s) = 0. What is s?
2, 12
Let c(b) be the second derivative of b**5/80 - 47*b**4/16 - 6*b**3 + 71*b**2/2 - b + 2056. Solve c(k) = 0.
-2, 1, 142
Let z be (38 - (-18592)/(-504) - (-1)/((-18)/65))/(-5). Suppose 10/3 - 27/2*j - z*j**3 + 32/3*j**2 = 0. What is j?
1/3, 1, 20
Find y such that -36*y + 129*y**3 + 4*y**2 - 312*y**3 + 35*y**2 + 180*y**3 = 0.
0, 1, 12
Let b(s) be the third derivative of -1/105*s**6 + 0*s**5 + 0*s + 0*s**3 + 2/735*s**7 + 62 + 0*s**4 - 2*s**2. Suppose b(m) = 0. What is m?
0, 2
Let f(c) = -13*c**2 + 27*c + 54. Let o(s) = -s**2. Let k(q) = -3*q**2 - 4*q + 6. Let h be k(1). Let v(y) = h*f(y) - 2*o(y). Factor v(r).
3*(r - 3)*(5*r + 6)
Find r such that -943*r - 25*r + 207368 - 320*r + 2*r**2 = 0.
322
Let i(k) be the second derivative of -16/15*k**6 + 0 + 2/3*k**7 + 0*k**3 - 6/7*k**4 + 0*k**2 + 187*k - 15/7*k**5. Solve i(t) = 0 for t.
-3/7, 0, 2
Let d(u) be the second derivative of -u**4/6 + 6556*u**3/3 - 10745284*u**2 - 700*u - 2. Suppose d(j) = 0. What is j?
3278
Suppose -108/7*a + 1458/7 + 2/7*a**2 = 0. Calculate a.
27
Let x(i) be the second derivative of i**6/30 + 17*i**5/10 + 131*i**4/4 + 884*i**3/3 + 1352*i**2 - 16*i - 6. Find s, given that x(s) = 0.
-13, -4
Let n be (4/48)/((-3235)/(-7764)). Suppose 28/5 - n*r**2 - 27/5*r = 0. Calculate r.
-28, 1
Factor 2/7*k**3 + 46/7*k**2 + 320/7*k + 600/7.
2*(k + 3)*(k + 10)**2/7
Let p(h) = -h**2 - 15*h + 113. Let c be p(-19). Let -27 - 32*s**2 - 24*s - 11*s**3 + c*s**3 - 2*s**5 - 22 + 81 = 0. Calculate s.
-4, -1, 1, 2
Let x(m) be the first derivative of m**4/2 - 82*m**3/3 - 485*m**2 - 2550*m - 11106. Find v such that x(v) = 0.
-5, 51
Let q(f) = -7*f**3 - 207*f**2 - 611*f - 414. Let c(t) = 5*t**3 + 208*t**2 + 615*t + 414. Let m(n) = -3*c(n) - 2*q(n). Factor m(i).
-(i + 1)*(i + 2)*(i + 207)
Factor 24714*y**2 - 816*y + 3656 - 7236*y - 8408*y + 50*y**4 - 12393*y**3 - 23*y**4.
(y - 457)*(3*y - 2)**3
Suppose -1077*n = -1074*n + 45. Let p be (-51)/(-6) + n/3 + -1. Factor p*c**3 + 5 - 5*c**2 - 5/2*c.
5*(c - 2)*(c - 1)*(c + 1)/2
Let b(s) be the first derivative of 88*s**2 + 24 + 4/3*s**3 + 1936*s. Factor b(n).
4*(n + 22)**2
Let w(p) be the second derivative of -7/8*p**3 + 30*p + 0 + 1/40*p**6 - 5/24*p**4 - 1/168*p**7 - 9/8*p**2 + 3/40*p**5. Factor w(d).
-(d - 3)**2*(d + 1)**3/4
What is f in 195/8*f - 639/4 + 3/8*f**2 = 0?
-71, 6
Let n(g) = -27*g**2 - 2513*g - 184. Let a be n(-93). Let p(j) be the first derivative of -4/3*j**6 + 0*j + 4/5*j**5 + 14 + j**4 + 0*j**3 + 0*j**a. Factor p(h).
-4*h**3*(h - 1)*(2*h + 1)
Let b(h) = 524*h + 308114. Let m be b(-588). What is s in 15/4*s**4 - 15*s**m + 5/4*s**5 - 10*s + 0 - 5/2*s**3 = 0?
-2, -1, 0, 2
Let q(t) be the first derivative of t**6/18 - 32*t**5/15 - 17*t**4/3 - 2*t**3/9 + 67*t**2/6 + 34*t/3 + 307. Let q(l) = 0. Calculate l.
-1, 1, 34
Let q be -28 + (191352/96)/67. Factor 0 - 1/4*c**2 + q*c.
-c*(c - 7)/4
Let w(x) be the first derivative of 9*x**4/4 - 220*x**3 - 443*x**2/2 - 74*x + 1365. Let w(u) = 0. What is u?
-1/3, 74
Find j, given that 25/2*j**2 + 65/4*j**3 - 30*j + 5/4*j**4 + 0 = 0.
-12, -2, 0, 1
Let q(r) = r**2 - 47*r + 177. Let f be q(43). Let k be (1 + f)*(-41)/(-82). Factor -8/9*w**k + 8/9*w + 2/9*w**4 - 2/3 + 4/9*w**2.
2*(w - 3)*(w - 1)**2*(w + 1)/9
Let m(s) be the third derivative of 0 + 5/336*s**8 + 35/8*s**4 + 5/6*s**5 + 0*s - 37*s**2 - 1/14*s**7 - 1/4*s**6 + 15/2*s**3. Factor m(r).
5*(r - 3)**2*(r + 1)**3
What is s in 16*s**3 - 97*s**4 - 40 + 36*s**2 - 2*s + 99*s**4 - 6*s - 7*s**2 + s**2 = 0?
-5, -2, 1
Suppose 42/17*y**3 + 18/17*y**4 + 0 + 12/17*y + 2/17*y**5 + 38/17*y**2 = 0. Calculate y.
-6, -1, 0
Let c(y) be the first derivative of -y**4/18 + 526*y**3/27 - 5720*y**2/3 - 3872*y + 6316. Find b, given that c(b) = 0.
-1, 132
Suppose -700 = -45*a + 52*a. Let p = a + 302/3. What is r in p*r**3 + 2*r - 2*r**2 - 2/3 = 0?
1
Suppose -5061/5*f - 339*f**3 - 1686/5 - 3/5*f**4 - 5067/5*f**2 = 0. Calculate f.
-562, -1
Let h(a) be the first derivative of -2*a**5/5 - 58*a**4/3 - 374*a**3/9 - 74*a**2/3 - 3206. Determine m so that h(m) = 0.
-37, -1, -2/3, 0
Let u = 19 - 14. Let c(a) = -6*a + 4 - u*a**2 + 3 - 4 - a**2. Let l(g) = -g**2 - g - 1. Let q(h) = c(h) - 3*l(h). Suppose q(i) = 0. Calculate i.
-2, 1
Let v(x) = -357*x + 42. Let m be v(0). Let u(k) be the second derivative of 1/3*k**4 - k - 21/10*k**5 + 0*k**3 + 0*k**2 + m. Find o such that u(o) = 0.
0, 2/21
Let c(o) be the first derivative of -4/3*o**3 - 46 - 8*o - 6*o**2. Factor c(x).
-4*(x + 1)*(x + 2)
Suppose -6*k - 23 = 61. Let p be (k/(-21))/((-2)/(-6)). Factor -1 - 20*c**2 + 30*c**p + 13 + 2*c - 22*c**2 - 2*c**3.
-2*(c - 1)*(c + 1)*(c + 6)
Suppose 8 = 4*g + 5*o - 6*o, 3*g - 3*o = 6. Find y such that -y**2 + 2*y**2 - 4*y**g + 18*y - 28 + 3*y**2 - 2*y**2 = 0.
2, 7
Let a(f) = 74*f**2 + 5179*f + 3348872. Let d(h) = 790*h**2 + 56968*h + 36837592. Let u(z) = 32*a(z) - 3*d(z). Factor u(s).
-2*(s + 1294)**2
Let v = 3407 + -23805/7. Suppose -6 - v*z - 2/7*z**2 = 0. What is z?
-21, -1
Let u(y) be the second derivative of y**6/10 - 333*y**5/20 + 4107*y**4/4 - 50653*y**3/2 - 630*y. Determine g, given that u(g) = 0.
0, 37
Let l = 405 - 289. Let x be -1 + l/18 - 10/2. Factor -x*n**4 - 2/3*n**3 + 0*n**2 + 2/9*n + 0.
-2*n*(n + 1)**2*(2*n - 1)/9
Let m(o) be the first derivative of -o**5 + 55*o**4/2 - 455*o**3/3 + 255*o**2 + 3464. Factor m(v).
-5*v*(v - 17)* | {
"pile_set_name": "DM Mathematics"
} |
7304
Calculate -0.07 - 18.
-18.07
What is 4 minus -307206?
307210
Add 329125.5 and -0.4.
329125.1
What is 127631 - -0.4?
127631.4
What is -0.1 minus -0.001886?
-0.098114
Work out 0.3 + 364.
364.3
Add together -33 and 48580.
48547
What is 6 take away 0.845?
5.155
What is the difference between -0.24 and -42?
41.76
Total of 2 and -9243.
-9241
What is 9 less than 0.637?
-8.363
Subtract 0.1779757 from 0.1.
-0.0779757
Total of 19.839 and 0.16.
19.999
What is -0.6942 - -0.02?
-0.6742
What is 98487 minus -14?
98501
Add together 1295013 and -0.2.
1295012.8
Put together -1 and -0.436815.
-1.436815
Work out -678.93 - -0.01.
-678.92
What is -0.0946 - 0.3?
-0.3946
3+177.5087
180.5087
Add -13170 and 4.
-13166
-101524 - -4
-101520
What is 0.4 take away 126678?
-126677.6
What is 2.78 minus 7.9?
-5.12
Work out 2 - 6234.14.
-6232.14
Calculate 1.4 - 0.021963.
1.378037
What is the distance between 0.696 and 0.15?
0.546
What is 1.8 plus -183465?
-183463.2
What is -0.06 minus 0.571?
-0.631
Work out -109.9 + 0.05609.
-109.84391
9.923+0.13
10.053
Work out 18938 + 18.
18956
What is -1926680 minus -0.2?
-1926679.8
What is the distance between -28.45 and -2?
26.45
Work out 344 + -1256.
-912
-2 + -23935.19
-23937.19
Calculate -1 - -3.568.
2.568
What is 0.08 plus -5?
-4.92
What is -39.79 less than 0.071?
39.861
Put together -0.366 and -0.35.
-0.716
Add together -0.07 and -0.0013.
-0.0713
Calculate -1799 + -0.17.
-1799.17
Add together 0.286666 and -0.2.
0.086666
What is 144 less than -10.6?
-154.6
Work out 0.179 - 3936.
-3935.821
Total of 65.7 and 1.1.
66.8
What is 463 minus 304.6?
158.4
Calculate 0.011 + -2.6496.
-2.6386
What is 5.84 + -30.3?
-24.46
Calculate -844 - 15.
-859
What is -16 minus -4473?
4457
Subtract -0.2 from -0.4177.
-0.2177
Work out -89 - -12.
-77
Calculate -2244.1 - 0.09.
-2244.19
What is the difference between -0.02 and 1322?
1322.02
Calculate 100 - 63693.
-63593
Add 20688 and 0.031.
20688.031
Total of 1.259 and -4.2.
-2.941
What is -1310 plus 1.2?
-1308.8
Calculate -4 - -1.121917.
-2.878083
What is 0.147277 less than -1?
-1.147277
Work out -19160306 - 0.2.
-19160306.2
Subtract 1.285 from -4.
-5.285
Total of 20812.1 and 0.1.
20812.2
Sum 0.2 and -6789.
-6788.8
0.501 - -2
2.501
What is -0.4 plus -0.185983?
-0.585983
Calculate -5.44 + 0.0185.
-5.4215
What is 0.1 take away 1270?
-1269.9
What is 61 plus -215?
-154
Add together 1181 and -0.613.
1180.387
What is 23.41 plus -0.26?
23.15
What is -864838 take away -4?
-864834
What is 12.245 less than 0.22?
-12.025
-3816.6 + -0.143
-3816.743
What is -90859 minus 0.1?
-90859.1
What is -0.08 + -1776?
-1776.08
What is the difference between -3105.9 and -0.3?
3105.6
What is 2816 minus -9?
2825
8400 - 49
8351
Put together -0.1 and 4890.
4889.9
Work out -17418 - 0.3.
-17418.3
What is 4 less than -28538?
-28542
What is -8171 take away 1.64?
-8172.64
What is -0.4 minus 14078?
-14078.4
Subtract 0.5 from -215.
-215.5
What is 0.4 plus 706?
706.4
What is -1 plus 926.4?
925.4
Subtract 181 from 0.9.
-180.1
What is 1.43458 - 0.4?
1.03458
Subtract 707 from -81.
-788
What is 1 plus -0.363?
0.637
Add together -38 and -3284.
-3322
Calculate 26993 + -0.5.
26992.5
Calculate 8 - 132152.
-132144
What is -2 + 57403?
57401
Work out -73.2 - 1.
-74.2
What is the distance between -3579 and 0.2?
3579.2
What is 0.163 take away -1.8274?
1.9904
What is 1.244 + -0.32?
0.924
What is -15 plus 732210?
732195
Calculate 0.04 + -175224.
-175223.96
What is -2 take away 255271?
-255273
Calculate 406 - 0.03.
405.97
What is 16 less than -0.10874?
-16.10874
What is 2096 plus 0.01?
2096.01
Total of -46.34 and -0.1.
-46.44
Subtract -0.3 from 46131.
46131.3
Put together 1348 and 2345.
3693
What is -4781 - 0.1604?
-4781.1604
What is -0.1 take away -266048?
266047.9
What is 9.26 plus -69?
-59.74
What is -813 less than 2?
815
What is -636 - 952?
-1588
17 - -312.908
329.908
Add together 143 and -37.
106
Sum 16.92 and -13.
3.92
-9+-474064
-474073
Total of -0.12 and -2433.
-2433.12
Put together 0.079 and -19.
-18.921
What is 4 + 0.2424?
4.2424
Add 786067 and 1.
786068
0.5868+-0.4
0.1868
What is 3.4 plus 2.7?
6.1
0.1 + 1459.9
1460
-309+260.72
-48.28
What is 3 + 7.37?
10.37
Calculate -18 - 0.019374.
-18.019374
Put together -11 and -212.
-223
What is 113 + 26?
139
Add together 311841 and 8.
311849
What is the difference between 1419 and -1.62?
1420.62
-574 + 4
-570
Calculate 16170 + -0.4.
16169.6
What is -149 take away 0.18?
-149.18
What is -19.9 minus 1136?
-1155.9
Add 4 and -404.
-400
578730 + 0.1
578730.1
-0.32 + 6897
6896.68
5 - 0.1434038
4.8565962
What is -33.88 take away 2284?
-2317.88
Calculate 0.5 + -9041.
-9040.5
What is the distance between -4 and -6.9186?
2.9186
Add -13.2 and -2.
-15.2
Subtract 350 from -3.
-353
What is 932 - -102?
1034
Calculate -1.91 - -1.13.
-0.78
Add -0.03 and -63.
-63.03
Sum -5 and 0.433.
-4.567
Calculate -0.4 - 2200.
-2200.4
-0.1 - -0.13327
0.03327
27556 + 4
27560
What is -0.4 - 21374?
-21374.4
Total of -4 and -120762.
-120766
Work out 0.1 + 65.67.
65.77
Calculate 3.6231 - 0.31.
3.3131
What is -1088 + 0?
-1088
What is -7 + -1220?
-1227
Add together -124 and -26.
-150
What is -30 minus 60?
-90
-19 + 448578
448559
What is -3091 minus -4?
-3087
Add 12 and -39.1.
-27.1
What is -0.7088 - -0.077?
-0.6318
Subtract 3861.7 from -1.
-3862.7
-8278 - -0.2
-8277.8
-0.254+-1672
-1672.254
Subtract -1857 from 0.409.
1857.409
Add 5 and 0.84.
5.84
What is 0.09 minus 118?
-117.91
What is 12 + -295479?
-295467
Put together -36 and -7.8.
-43.8
2.3+-270
-267.7
What is 5 less than 2.37829?
-2.62171
Calculate 0 + 0.421.
0.421
What is -42.67 take away 0?
-42.67
What is 0.68 plus -1.8?
-1.12
What is the difference between -0.4 and 4337?
4337.4
21425 - 0.5
21424.5
What is 12.292 less than -9.9?
-22.192
-5.3 + -2280
-2285.3
What is 0 - 1874718?
-1874718
Sum -803.1 and -0.084.
-803.184
Put together 0.04 and -207.
-206.96
What is the distance between -2.4 and -4.493?
2.093
4.0423+-0.1
3.9423
What is the difference between 5.3 and -12?
17.3
What is 0.4 take away -3.433?
3.833
29636+4
29640
-66 - 0.17222
-66.17222
What is -717 less than -7?
710
Add together 0.08 and -0.02081.
0.05919
Put together -8334.8 and -0.6.
-8335.4
Calculate 0.092 + -1.987.
-1.895
0.436+2989
2989.436
Add together -4 and 0.0735.
-3.9265
-2729 - 3
-2732
Put together 843 and -62.
781
What is -52 take away 1.138?
-53.138
What is 681 - 0.36?
680.64
Put together -37 and -2641.
-2678
366.5 + -0.1
366.4
What is the distance between -694 and -1?
693
What is 0.5 take away -195?
195.5
What is the distance between -44.2 and 1?
45.2
Add 2.228 and 1.8.
4.028
What is -0.058 minus 302?
-302.058
What is -1085 take away 130.4?
-1215.4
Subtract -0.2 from -517.
-516.8
26 + 26321
26347
Add -73159 and 0.9.
-73158.1
What is 107 minus -393?
500
Work out -47 - 1542.
-1589
What is the distance between -221 and 0.14?
221.14
Add together -0.02 and -28253.
-28253.02
What is -143352 take away -0.1?
-143351.9
Subtract 7182 from -5.
-7187
What is 13 less than -0.076?
-13.076
Calculate 0.01224706 - -2.
2.01224706
What is 606 less than 6?
-600
2622+2.71
2624.71
What is -0.0589 + 574?
573.9411
What is the difference between 5081.95 and 0.1?
5081.85
-23437+0.3
-23436.7
What is 4 minus -225.4?
229.4
Add 4 and -0.13161.
3.86839
What is 1.07 - 0.105?
0.965
What is -0.1 less than 131367.22?
131367.32
What is -2 minus 0.28?
-2.28
What is -240.847 minus 0.1?
-240.947
Add -2.6168 and 6.7.
4.0832
Work out 0.14 + -45025.
-45024.86
Calculate 0.4124 + -7.
-6.5876
Calculate -0.1061 + 27.
26.8939
Put together -7 and 1.225.
-5.775
-1589 - -4855
3266
Calculate -28 - 1056.
-1084
Total of 0.2 and -70521.
-70520.8
Calculate 2207 + 0.22.
2207.22
Sum -1 and -12.076.
-13.076
What is -1 - -4.8?
3.8
-0.3 - -88025
88024.7
What is the difference between 124950 and 8?
124942
What is 0 plus -277?
-277
Calculate -0.0479 - 0.5.
-0.5479
Put together 9858 and 0.01.
9858.01
-89+-7028
-7117
Subtract 2 from -225283.5.
-225285.5
74689+11
74700
Calculate 9 + -163170.
-163161
706 + 0
706
Calculate -4 + 839776.
839772
16.3 - -110
126.3
What is 1.1448 plus -151?
-149.8552
What is 2.18 + 0.2?
2.38
Work out 0.38 + 0.34.
0.72
Add together 6182 and 0.4.
6182.4
What is 0.2 + -0.0376?
0.1624
Work out -5866 - -1.3.
-5864.7
What is -0.3 take away 11796?
-11796.3
Sum 933 | {
"pile_set_name": "DM Mathematics"
} |
543204*y**2 - 473616*y = 0. Calculate y.
-69, 0, 1, 13/2, 132
What is p in -p**4/6 + 359*p**3/2 - 27809*p**2/6 - 188899*p/2 - 236775 = 0?
-11, -3, 41, 1050
Factor 5*j**2 - 59955*j - 8062460.
5*(j - 12124)*(j + 133)
Let 1723653*t**3/7 - 11938379*t**2/7 - 890380*t/7 + 36 = 0. Calculate t.
-2/27, 18/63839, 7
Factor -4015947*w**2 + 36063690*w - 80964075.
-3*(1157*w - 5195)**2
What is v in 2*v**4/11 + 790*v**3/11 - 1536*v**2/11 - 590336*v/11 + 6471680/11 = 0?
-395, -32, 16
Suppose -d**5/4 + 2059*d**4/4 - 474595*d**3/4 + 29104609*d**2/4 + 474599*d - 29112845 = 0. Calculate d.
-2, 2, 127, 1805
Suppose 7*u**5/4 + 1087*u**4/4 + 10974*u**3 + 31984*u**2 - 48032*u - 69312 = 0. Calculate u.
-76, -4, -1, 12/7
Suppose 3*q**4 - 1566*q**3 - 255789*q**2 + 5573580*q - 28620900 = 0. Calculate q.
-147, 10, 649
Let -2*j**4/9 - 4124*j**3/9 + 12398*j**2/9 + 16496*j/9 - 16520/3 = 0. What is j?
-2065, -2, 2, 3
Suppose 4*p**2/9 - 12583032*p = 0. What is p?
0, 28311822
Suppose -5*y**4 - 11785*y**3 - 6939055*y**2 - 74910275*y = 0. What is y?
-1291, -1055, -11, 0
Let j**2 - 100232*j - 19885140 = 0. Calculate j.
-198, 100430
Factor 3*k**3 - 4286604*k**2 + 120023148*k - 840157920.
3*(k - 1428840)*(k - 14)**2
Suppose -f**2/4 - 661757*f - 437922327049 = 0. Calculate f.
-1323514
Factor -2*g**3 - 118695682*g**2 - 1761083175028480*g - 1761083056332800.
-2*(g + 1)*(g + 29673920)**2
Factor 2*a**4 + 1312784*a**3 - 2625574*a**2 + 1312788*a.
2*a*(a - 1)**2*(a + 656394)
Factor i**3 + 1477*i**2 + 219591*i + 8627715.
(i + 81)**2*(i + 1315)
Factor 2*v**2/3 + 45164*v/3 + 6596230.
2*(v + 447)*(v + 22135)/3
Suppose -35*n**3 + 365444655*n**2 - 953927087240160*n - 136275305635220 = 0. Calculate n.
-1/7, 5220638
Find c such that -2*c**2/3 + 5684*c/3 - 752070 = 0.
477, 2365
Factor -5*r**3 + 21598*r**2 - 442755*r - 180558.
-(r - 4299)*(r - 21)*(5*r + 2)
Find q such that -6*q**5 - 152037*q**4 - 1443618*q**3 + 4863495*q**2 + 3419442*q - 2735640 = 0.
-25330, -12, -1, 1/2, 3
Let -7241965388100*w**2 + 43057440*w - 64 = 0. Calculate w.
4/1345545
Suppose 25630*s**2 - 65*s = 0. What is s?
0, 13/5126
Factor 3*r**2 - 19127478*r + 30488367886707.
3*(r - 3187913)**2
Factor 2*d**2/7 + 13574*d/7 - 1015428/7.
2*(d - 74)*(d + 6861)/7
Let -2*j**5 - 1042916*j**4 - 6257450*j**3 - 13557776*j**2 - 12514856*j - 4171616 = 0. Calculate j.
-521452, -2, -1
Solve 6*a**2 - 9728829*a + 4864413 = 0.
1/2, 1621471
Determine l so that -l**3 + 16231*l**2 - 18160388*l - 18176620 = 0.
-1, 1210, 15022
Factor 5*n**2 - 113594600*n + 113594595.
5*(n - 22718919)*(n - 1)
Factor -r**3/5 - 281869*r**2/5.
-r**2*(r + 281869)/5
Find o, given that -3*o**5/7 - 498*o**4/7 + 2460*o**3 - 82680*o**2/7 - 68832*o/7 + 48384 = 0.
-196, -2, 2, 6, 24
Find v, given that 4*v**5/3 - 5872*v**4/3 + 23036*v**3/3 + 568048*v**2/3 - 7680*v - 187392 = 0.
-8, -1, 1, 12, 1464
Find i such that i**4 - 558224*i**3/3 - 992449*i**2 + 12467336*i/3 + 1488640 = 0.
-8, -1/3, 3, 186080
Factor -3*k**2 + 745248*k - 4471380.
-3*(k - 248410)*(k - 6)
Factor -2*h**2/11 + 2342128*h/11 - 2342126/11.
-2*(h - 1171063)*(h - 1)/11
Factor -i**2/3 - 3754*i/3 - 288743.
-(i + 247)*(i + 3507)/3
Determine n so that -9*n**5/2 - 155*n**4/2 + 561*n**3 + 1850*n**2 - 2172*n - 6160 = 0.
-22, -20/9, -2, 2, 7
Find b such that 4*b**2/5 - 4843688*b/5 + 1466332090084/5 = 0.
605461
Let 2*x**5/5 - 1689588*x**4/5 + 475774463754*x**3/5 - 8930857554544536*x**2 - 803909928101066784*x/5 - 401965669660263552 = 0. What is x?
-15, -3, 281604
Factor 2*a**2/3 - 14195884*a + 75571170953046.
2*(a - 10646913)**2/3
Factor i**3 - 82580*i**2 + 8745053*i - 231669466.
(i - 82474)*(i - 53)**2
Determine j so that 3*j**4/5 - 510126*j**3 + 722857894308*j**2/5 - 68287180510419162*j/5 + 68286457655075481/5 = 0.
1, 283403
Let 2*l**3/9 + 17792*l**2/3 + 88922*l + 320076 = 0. Calculate l.
-26673, -9, -6
Let 2*q**5 + 1127214*q**4 + 20289270*q**3 + 37196906*q**2 + 18034848*q = 0. Calculate q.
-563589, -16, -1, 0
What is a in a**3 + 4166*a**2 - 134336*a = 0?
-4198, 0, 32
Let -3*g**5 + 813*g**4 - 45261*g**3 - 746553*g**2 + 878304*g + 1578780 = 0. What is g?
-14, -1, 2, 105, 179
Solve h**5/5 + 5041*h**4 - 25209*h**3 + 25211*h**2 + 126044*h/5 - 30252 = 0 for h.
-25210, -1, 1, 2, 3
Let -3*g**4/4 - 411859*g**3/4 - 4804181*g**2/2 + 1647156*g = 0. What is g?
-137263, -24, 0, 2/3
Suppose -12*d**5 - 124*d**4 + 2940*d**3 + 27900*d**2 - 54000*d = 0. Calculate d.
-15, -12, 0, 5/3, 15
Find s, given that -6*s**3/13 - 20614*s**2/13 + 359184*s/13 + 248616/13 = 0.
-3453, -2/3, 18
Suppose d**3/4 + 419991*d**2/4 + 11022794838*d - 363866581188 = 0. What is d?
-210012, 33
Find s, given that -14964*s**3 - 1047471*s**2 - 18330270*s + 11025 = 0.
-35, 3/4988
Solve 169*b**4 - 168747*b**3/4 - 748101*b**2/4 - 188897*b - 36195 = 0.
-3, -190/169, -1/4, 254
Suppose -2*p**4/5 - 114*p**3/5 + 11436*p**2/5 + 175568*p/5 + 304512/5 = 0. What is p?
-104, -12, -2, 61
Determine w so that -2*w**5 - 89804*w**4 - 1009530700*w**3 - 32238647200*w**2 - 286938041250*w - 452996302500 = 0.
-22435, -15, -2
Suppose -8372*m**5/11 + 519062*m**4/11 - 636148*m**3/11 - 6447976*m**2 - 279708720*m/11 - 66816/11 = 0. Calculate m.
-6, -1/4186, 16, 58
Find n, given that -5*n**4 + 22030*n**3 - 635380*n**2 + 3130130*n - 2516775 = 0.
1, 5, 23, 4377
Let 64082*g**4/3 + 77730034*g**3/3 - 104562728*g**2 + 6980680*g/3 - 38944/3 = 0. Calculate g.
-1217, 2/179, 4
Suppose -9604*t**4/5 - 30061304*t**3/5 - 72359440*t**2 - 29384224*t/5 - 598656/5 = 0. What is t?
-3118, -12, -2/49
Solve 2*n**3 - 8130962*n**2 + 8264063815198*n + 8264071946162 = 0 for n.
-1, 2032741
Determine w, given that 8*w**2 + 38324*w - 19164 = 0.
-4791, 1/2
Solve 5*u**4 - 82765*u**3 + 246043515*u**2 - 267947626255*u + 99877409790500 = 0 for u.
1151, 13100
What is i in -358*i**4 + 4642*i**3 - 11300*i**2 + 6776*i + 240 = 0?
-6/179, 1, 2, 10
Factor 5*r**3/4 + 1480205*r**2/4 + 68081495*r/4 + 782906775/4.
5*(r + 23)**2*(r + 295995)/4
Factor r**2/7 + 1999*r/7 - 4007406/7.
(r - 1238)*(r + 3237)/7
Determine x so that 4*x**2/7 + 39104*x/7 + 1208380/7 = 0.
-9745, -31
Suppose -a**2 + 54444*a - 163323 = 0. Calculate a.
3, 54441
What is y in 4*y**5 - 43777020*y**4 + 119776739393532*y**3 - 119776695616516*y**2 = 0?
0, 1, 5472127
Factor 2*y**2/5 - 3616*y/5 - 655368/5.
2*(y - 1974)*(y + 166)/5
Let 14*u**3 - 1748*u**2 - 557438*u - 555676 = 0. What is u?
-146, -1, 1903/7
Determine x so that 8265*x**5 - 396710*x**4 + 1032645*x**3 + 17804060*x**2 + 32750940*x + 39600 = 0.
-3, -2/1653, 10, 44
What is f in -f**3/8 + 70292497*f**2/8 - 154407352346250*f + 154407343559688 = 0?
1, 35146248
Determine u, given that -u**5 + 3456*u**4 + 69455*u**3 + 225930*u**2 + 34856*u - 333696 = 0.
-16, -3, -2, 1, 3476
Solve r**4/5 - 5599*r**3/5 + 1429863*r**2 + 393947675*r - 2005345100 = 0.
-236, 5, 2915
Let -q**2/5 - 107146*q + 1607199/5 = 0. Calculate q.
-535733, 3
Solve 4*q**5 + 1416*q**4 + 39796*q**3 - 99984*q**2 - 5552048*q + 11162880 = 0.
-323, -27, -16, 2, 10
Let d**2/6 - 2825*d/2 - 1872608/3 = 0. What is d?
-421, 8896
Factor -5*h**3 - 2120920*h**2 - 224912961385*h + 449834406490.
-5*(h - 2)*(h + 212093)**2
Let 2*s**2/17 - 332346*s/17 - 4653236/17 = 0. What is s?
-14, 166187
Factor z**2 - 11515513*z - 11515514.
(z - 11515514)*(z + 1)
Solve -3*g**5 - 5052*g**4 + 3213774*g**3 + 9556609980*g**2 + 4256222010141*g - 34663023780840 = 0.
-1019, 8, 1365
Find l, given that 14*l**5 + 96368*l**4 + 24445254*l**3/7 + 10022288*l**2/7 - 11776552*l/7 + 1971936/7 = 0.
-6847, -36, -1, 2/7
Factor m**3/4 - 6741*m**2/4 + 1747356*m - 495728545.
(m - 5545)*(m - 598)**2/4
Let 3*w**2 - 11308698*w - 33926121 = 0. What is w?
-3, 3769569
Factor 2809*k**2/3 + 88244152*k/3 + 693042930064/3.
(53*k + 832492)**2/3
Factor -5*r**2 + 3920711*r + 3136572.
-(r - 784143)*(5*r + 4)
Factor 4*a**3 + 118016*a**2 + 695441300*a - 2701312310312.
4*(a - 2618)*(a + 16061)**2
Factor 5*r**2/6 + 3979055*r/3 + 3166575738605/6.
5*(r + 795811)**2/6
Suppose -a**2/3 - 130655952*a - 12803233344769728 = 0. Calculate a.
-195983928
Factor 2*w**2/9 - 78376424*w/9 + 767857979878472/9.
2*(w - 19594106)**2/9
What is j in -j**2 - 98608*j - 1873191 = 0?
-98589, -19
Solve 2*g**2/3 + 414394*g/3 - 49341208/3 = 0 for g.
-207316, 119
What is t in t**3 + 176129*t**2 - 1585252*t - 1761380 = 0?
-176138, -1, 10
Find p, given that 2*p**4 + 9140* | {
"pile_set_name": "DM Mathematics"
} |
, 31283?
39324
What is the next term in 71, -41, -363, -1009, -2093, -3729, -6031, -9113?
-13089
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483226
What is the next term in -2984, -11955, -26902, -47825, -74724?
-107599
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1743258
What is next in 129475, 517828, 1165085, 2071246, 3236311, 4660280, 6343153?
8284930
What is next in -526110, -1052264, -1578420, -2104578, -2630738, -3156900?
-3683064
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153744
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-49803926
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335359
What is next in -223758, -447383, -671010, -894633, -1118246, -1341843?
-1565418
What is next in -5038473, -10076941, -15115409, -20153877?
-25192345
What is the next term in -12755757, -12755764, -12755785, -12755826, -12755893, -12755992?
-12756129
What is the next term in 102268, 102084, 101900?
101716
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-1076902
What is next in 3131, 2801, 2179, 1271, 83, -1379, -3109, -5101?
-7349
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-11706
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-18781
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-354337
What is the next term in -150045209, -150045210, -150045211?
-150045212
What is next in 88164, 176103, 264042, 351981, 439920?
527859
What is the next term in 1349, 10465, 35325, 83801, 163765?
283089
What is next in 646019, 1292036, 1938051, 2584064?
3230075
What is next in 42495668, 42495666, 42495664, 42495662, 42495660, 42495658?
42495656
What comes next: -149175, -148934, -148687, -148434, -148175, -147910, -147639?
-147362
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302134
What comes next: 32706954, 32706956, 32706958, 32706960, 32706962, 32706964?
32706966
What is the next term in 153, 741, 1503, 2439, 3549, 4833, 6291?
7923
What comes next: 19619, 38903, 58187, 77471, 96755, 116039?
135323
What comes next: 2988844, 2988877, 2988910, 2988943, 2988976, 2989009?
2989042
What is the next term in -61751895, -123503787, -185255679, -247007571?
-308759463
What is next in 376, 2710, 8970, 21094, 41020?
70686
What comes next: 4299295, 4299294, 4299293, 4299292?
4299291
What comes next: -1522924, -3045828, -4568732, -6091636, -7614540, -9137444?
-10660348
What is the next term in -12716, -24981, -37246, -49511, -61776, -74041?
-86306
What is next in 1919, 2005, 2235, 2681, 3415?
4509
What comes next: -42192, -42280, -42418, -42600, -42820, -43072?
-43350
What is next in -120165, -240365, -360567, -480771, -600977, -721185, -841395?
-961607
What comes next: -409, -322, 757, 3320, 7859, 14866, 24833, 38252?
55615
What is the next term in -5457046, -5457029, -5457012?
-5456995
What is the next term in -6900, -12870, -18936, -25146, -31548, -38190, -45120?
-52386
What comes next: 33551063, 33551062, 33551061, 33551060?
33551059
What is the next term in -25014, -48601, -72186, -95769, -119350, -142929, -166506?
-190081
What is the next term in -296242, -296205, -296196, -296221, -296286, -296397, -296560, -296781?
-297066
What is next in 151703582, 151703579, 151703574, 151703567, 151703558, 151703547, 151703534?
151703519
What is next in -8897, -18692, -29385, -40976, -53465?
-66852
What is next in -387242, -387273, -387304, -387335?
-387366
What is next in 970978, 1941713, 2912448, 3883183, 4853918?
5824653
What is next in -94529, -95397, -96265, -97133?
-98001
What is the next term in -1431, -3779, -7445, -12423, -18707?
-26291
What is the next term in -14793404, -29586847, -44380290, -59173733, -73967176, -88760619?
-103554062
What is the next term in 444143, 444212, 444281, 444350?
444419
What is the next term in 138621, 277402, 416183, 554964, 693745, 832526?
971307
What comes next: 134426, 268996, 403566, 538136, 672706, 807276?
941846
What is next in -13223, -28324, -43425, -58526?
-73627
What comes next: -3857576, -15430180, -34717816, -61720484?
-96438184
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1237533
What is next in -134825, -134861, -134915, -134987?
-135077
What comes next: 15497, 10300, 5103, -94, -5291, -10488?
-15685
What is next in 5324, 11280, 17226, 23162, 29088, 35004?
40910
What is next in 4690, 5661, 6628, 7591, 8550, 9505?
10456
What is the next term in -34639, -34563, -34433, -34243, -33987?
-33659
What comes next: 913627, 913617, 913607, 913597?
913587
What is next in -47910, -95827, -143760, -191721, -239722, -287775, -335892?
-384085
What comes next: -5545371, -11090727, -16636077, -22181421, -27726759?
-33272091
What comes next: 12286579, 24573160, 36859741, 49146322, 61432903?
73719484
What is the next term in 2882043, 2882029, 2881993, 2881923, 2881807, 2881633, 2881389?
2881063
What is next in 12973, 52397, 118105, 210097, 328373, 472933?
643777
What is next in -42465572, -84931139, -127396706, -169862273?
-212327840
What comes next: 9629, 19390, 29147, 38900, 48649, 58394?
68135
What is next in -1027, -1029, -1019, -991, -939, -857, -739, -579?
-371
What is the next term in 4145094, 8290187, 12435280?
16580373
What is the next term in -411127, -1644701, -3700669, -6579031, -10279787, -14802937?
-20148481
What is next in -2171, -2834, -3873, -5288, -7079, -9246?
-11789
What comes next: 14173216, 14173213, 14173212, 14173213, 14173216, 14173221, 14173228?
14173237
What is next in -911124, -3644528, -8200266, -14578392, -22778960, -32802024?
-44647638
What is next in 1741619, 1741761, 1741903, 1742045, 1742187?
1742329
What is next in -69709, -66730, -63751, -60772, -57793, -54814?
-51835
What is the next term in -3257389, -3257384, -3257375, -3257362?
-3257345
What is the next term in 366997703, 733995406, 1100993109, 1467990812, 1834988515?
2201986218
What is the next term in -45249, -45126, -44999, -44868, -44733, -44594, -44451?
-44304
What is next in 627149, 1253908, 1880669, 2507432?
3134197
What is next in 15601, 31225, 46845, 62455, 78049?
93621
What is the next term in 1428, 11611, 39408, 93675, 183268, 317043, 503856, 752563?
1072020
What is next in 38470, 154139, 347004, 617071, 964346, 1388835, 1890544, 2469479?
3125646
What comes next: -1398, -5561, -12464, -22095, -34442, -49493, -67236?
-87659
What is next in 6826292, 6826300, 6826308, 6826316, 6826324?
6826332
What is the next term in 1662, 3387, 5104, 6813?
8514
What is the next term in 120751332, 120751333, 120751334, 120751335?
120751336
What is next in 113416, 226744, 340074, 453406, 566740, 680076, 793414?
906754
What is the next term in 34393, 69006, 103619, 138232, 172845?
207458
What is the next term in -21, -193, -695, -1695, -3361, -5861?
-9363
What comes next: 416234, 416235, 416236, 416237, 416238?
416239
What is the next term in 7586, 15224, 22912, 30650?
38438
What comes next: -11795, -30715, -49637, -68561, -87487?
-106415
What is the next term in 15499, 63271, 142891, 254359, 397675, 572839?
779851
What comes next: -6509, -204, 6103, 12412, 18723?
25036
What comes next: -371253, -742544, -1113839, -1485138, -1856441, -2227748, -2599059?
-2970374
What is next in 81749, 328124, 738749, 1313624, 2052749?
2956124
What comes next: 5643754, 5643749, 5643744, 5643739, 5643734?
5643729
What is the next term in 81336640, 81336639, 81336638, 81336637?
81336636
What comes next: 174408, 174398, 174388?
174378
What comes next: -250, -746, -1492, -2488, -3734, -5230, -6976?
-8972
What is the next term in 163878, 163877, 163876, 163875, 163874, 163873?
163872
What comes next: -7236, -8179, -9122?
-10065
What is the next term in 107362139, 214724277, 322086415, 429448553, 536810691, 644172829?
751534967
What is the next term in 22352, 22256, 22104, 21902, 21656, 21372?
21056
What is the next term in -111669, -111706, -111743, -111780?
-111817
What is next in -82978, -165868, -248672, -331390, -414022, -496568, -579028?
-661402
What is the next term in -28005, -224095, -756327, -1792761, -3501457, -6050475?
-9607875
What is the next term in -10193756, -10193755, -10193754, -10193753?
-10193752
What comes next: -24177, -48316, -72265, -96018, -119569, -142912?
-166041
What comes next: -3185970 | {
"pile_set_name": "DM Mathematics"
} |
e of 5 - 6*i**y + 7*i**2 + 1 - 3*i**2 wrt i?
-4*i
Let h(q) = q. Let c be h(4). Suppose -3 = -4*t + 5. Find the second derivative of b + t*b**4 - c*b + b wrt b.
24*b**2
Differentiate -16*i + 20 + 41*i - 63*i wrt i.
-38
Let o(r) be the third derivative of -r**6/60 - 19*r**5/60 + 25*r**2. What is the third derivative of o(h) wrt h?
-12
Find the second derivative of -10*d**3 - 13*d**3 - 33*d**3 + 56*d wrt d.
-336*d
What is the second derivative of 5*x - x**2 - 3*x**2 + 3*x**2 wrt x?
-2
What is the first derivative of b**2 - 7*b**2 - 9 + 15*b**2 - 4*b**2 wrt b?
10*b
Let p(g) be the first derivative of -17*g**7/7 - g**6/6 + 5*g**3/3 + 3*g - 12. What is the third derivative of p(h) wrt h?
-2040*h**3 - 60*h**2
Find the third derivative of -2*g**6 + 26*g**2 - 76*g**2 + 38*g**2 wrt g.
-240*g**3
Let m(l) be the third derivative of 7*l**5/60 + 5*l**3/6 - 8*l**2. Differentiate m(x) with respect to x.
14*x
Differentiate 8*b + 12 + 11*b - 6*b + 14 wrt b.
13
Let m(h) be the first derivative of h**2 + 2. Let x be m(1). What is the third derivative of u**5 + u**x - 5*u**5 + 2*u**5 wrt u?
-120*u**2
Let p = 116 + -76. Let u be (-48)/p*(-10)/4. What is the derivative of i + 6 - u - 2*i wrt i?
-1
Let t = -6 + 6. Suppose 0*d - d + 5 = t. Find the third derivative of 14 - s**d - 14 - s**2 wrt s.
-60*s**2
Let i be 1/((-14)/(-6) + -2). Let x(d) be the first derivative of -2 + 6*d**3 + 3*d - 3*d**i - 4*d**3. Differentiate x(m) with respect to m.
-6*m
Let i(l) = -l. Let g(b) = 39*b**3 - 3*b - 3*b**4 - 39*b**3. Let h(q) = g(q) - 5*i(q). What is the second derivative of h(a) wrt a?
-36*a**2
Let p(u) be the first derivative of u + 5 + 0*u - u - 4*u - 2*u**3. What is the first derivative of p(t) wrt t?
-12*t
Let g(z) be the first derivative of -z**7/210 - z**4/24 + 2*z**2 - 7. Let r(s) be the second derivative of g(s). Find the second derivative of r(d) wrt d.
-12*d**2
Suppose 7 = -0*q - q + 3*p, 4 = -4*q + 4*p. Let u(v) be the first derivative of 5*v**2 - q*v**2 - 2*v**2 - 1 + v. Differentiate u(r) wrt r.
2
Let t(s) be the first derivative of 18*s**5/5 - 18*s + 12. Differentiate t(n) wrt n.
72*n**3
Let t(v) be the second derivative of 2*v**7/7 - 8*v**3/3 + v**2 + 15*v. What is the second derivative of t(g) wrt g?
240*g**3
What is the first derivative of 8 + 2*b**2 + 16*b**2 - 7*b**2 - 1 wrt b?
22*b
Let c(n) be the second derivative of -n**4/12 + n**3 + 3*n. What is the second derivative of c(u) wrt u?
-2
Let z(f) be the third derivative of -f**9/252 + f**5/15 + 3*f**2. Find the third derivative of z(i) wrt i.
-240*i**3
Let o(p) be the first derivative of 0*p**3 - 7/4*p**4 - 6 + 0*p**2 - 4*p. Differentiate o(b) wrt b.
-21*b**2
Find the third derivative of 298 + 301 - 50*v**2 - 599 + 29*v**4 wrt v.
696*v
Let b(w) be the first derivative of -w**6/3 + 3*w**2 - 3. Find the second derivative of b(n) wrt n.
-40*n**3
Let m(h) be the second derivative of h**8/336 + h**5/30 - 2*h**2 - 3*h. Let x(g) be the first derivative of m(g). What is the third derivative of x(l) wrt l?
60*l**2
Let z be (3/6)/(2/12). Suppose 6 = -3*k + 5*k. What is the second derivative of -t**k + 4*t + 0*t**3 - z*t wrt t?
-6*t
Let v(r) be the second derivative of 1/6*r**4 + 0 - 6*r + 0*r**2 + r**3. Find the second derivative of v(l) wrt l.
4
Let z(v) = 2*v - 1 + 3*v**2 - v**2 + 2. Let t be z(-2). Find the first derivative of 1 + 2*y**3 - t*y + 5*y wrt y.
6*y**2
Let o(c) be the first derivative of -1/2*c**2 + 0*c + 1/3*c**3 - 1 + 1/12*c**4. Let h(n) be the second derivative of o(n). Differentiate h(z) with respect to z.
2
Find the second derivative of 13*u**5 + 8*u - 10*u - 10*u wrt u.
260*u**3
Let f(i) be the second derivative of 9*i**5/20 - 13*i**4/3 - 36*i. Find the third derivative of f(p) wrt p.
54
Suppose 4*d - 3*p - 32 = 0, 3*d - 2*d + 5*p = -15. Find the third derivative of -27*f**3 + 0*f**d + 27*f**3 + f**5 + 5*f**2 wrt f.
60*f**2
Find the second derivative of -2 - 2*j - 3*j - 7*j**4 + 2 wrt j.
-84*j**2
Suppose 5*z - 32 = -k, 5*z + 4*k = 2*k + 29. Find the second derivative of -z*w + 27*w**3 + 5*w**5 - 27*w**3 wrt w.
100*w**3
Find the third derivative of -m**2 + 3*m**3 + 7*m**2 - 10*m**3 wrt m.
-42
Let i(o) = -o**3 + 17*o**2 + 7. Let h(z) = -9*z**2 - 4. Suppose 0 = 2*r - 7*r - 35. Let l(n) = r*h(n) - 4*i(n). Find the third derivative of l(g) wrt g.
24
Let m(q) be the first derivative of 0*q**3 + 0*q**2 + 2/5*q**5 + 1 + 0*q**4 + q. What is the derivative of m(u) wrt u?
8*u**3
Let h(g) = 9*g**3 - 5*g**2 - 5*g - 3. Let f(p) = 14*p**3 - 8*p**2 - 8*p - 4. Let o(x) = 5*f(x) - 8*h(x). Find the first derivative of o(k) wrt k.
-6*k**2
What is the first derivative of -8 - 13*u + 9*u + 7*u wrt u?
3
Find the third derivative of -19*v**5 + 2*v**5 - 3*v**2 - 2*v**2 wrt v.
-1020*v**2
Let w(d) be the second derivative of -d**5/40 + d**4/12 + d**3/6 + 2*d. Let t(b) be the second derivative of w(b). Differentiate t(v) with respect to v.
-3
Let u(q) be the first derivative of 0*q - 8 + 5/3*q**3 - 5/4*q**4 + 0*q**2. What is the third derivative of u(x) wrt x?
-30
Find the second derivative of 49*h**2 - 31*h**2 - 56*h**2 + 3*h wrt h.
-76
Let b(c) be the second derivative of 19*c**6/30 + 19*c**4/12 + 25*c. What is the third derivative of b(j) wrt j?
456*j
Let o(p) be the second derivative of p**2 + 0 + p - 1/12*p**4 + 0*p**3. Find the first derivative of o(w) wrt w.
-2*w
Find the third derivative of -4448 + 4*t**2 + 4448 - 16*t**4 wrt t.
-384*t
What is the third derivative of 57 + 36*g**2 + 23*g**5 + g**2 - 57 wrt g?
1380*g**2
Let u(z) = -2*z - 5. Let k(t) = t + 2. Let d be 1 - (3/1 - -6). Let y(x) = d*k(x) - 3*u(x). Differentiate y(a) with respect to a.
-2
Let g(i) be the first derivative of i**6/40 + i**4/12 + i**2/2 - 3. Let d(s) be the second derivative of g(s). What is the second derivative of d(w) wrt w?
18*w
Find the third derivative of 3*o**2 + 6*o - 7*o**6 + 4*o - 10*o wrt o.
-840*o**3
Let q(d) be the third derivative of -2*d**7/15 - 7*d**5/15 + 17*d**2. What is the third derivative of q(v) wrt v?
-672*v
Find the third derivative of -3*d**2 - 8*d**6 - d**2 + 2*d**6 wrt d.
-720*d**3
Let j = 14 + -11. What is the second derivative of 0*w**3 - w**j - 3*w**3 + w + 3*w**3 wrt w?
-6*w
Let p be (-20)/(-8)*(-12)/(-10). Suppose 5*u - 3*u - 2*m = 6, u - p = -5*m. Differentiate u*i**3 - 2 - 6*i**3 + 2*i**3 with respect to i.
-3*i**2
Let a(s) = 17*s**3 - 9*s**2 - 5*s. Let i(z) = -9*z**3 + 4*z**2 + 3*z. Let x(m) = 3*a(m) + 5*i(m). Find the third derivative of x(f) wrt f.
36
Let x(t) be the first derivative of -56*t**3/3 + 44*t - 24. What is the derivative of x(s) wrt s?
-112*s
Suppose d + 2*d + 2*r - 25 = 0, 2*r = 4. Find the third derivative of 3*b**6 - d*b**6 + 0*b**2 - 3*b**2 wrt b.
-480*b**3
Let n(j) be the first derivative of 20*j**3/3 - 4*j + 4. Differentiate n(z) with respect to z.
40*z
Let l = -4 + 4. Suppose 2*y - 10 = -l*y. What is the third derivative of 4*t**6 - 4*t**2 + 2*t**2 - y*t**6 wrt t?
-120*t**3
Let f(z) = z**2 - 11*z + 12. Let g be f(10). Let b = g - 0. Find the third derivative of -r**5 - 3*r**2 - b*r**5 - r**5 wrt r.
-240*r**2
Let q(m) = 19*m**3 - 8*m**2 - 6*m - 6. Let h(w) = w**3 - w**2 - w - 1. Let r(t) = 6*h(t) - q(t). What is the third derivative of r(y) wrt y?
-78
Let s(o) be the third derivative of -o**6/120 + 13*o**3/6 + 2*o**2. What is the derivative of s(j) wrt j?
-3*j**2
Let n(b) be the third derivative of b**8/48 - 7*b**4/24 - 13*b**2. Find the second derivative of n(h) wrt h.
140*h**3
Let m(t) = 86*t**3 + 11*t**2 - 299*t + 11. Let c(b) = -17*b**3 - 2*b**2 + 60*b - 2. Let r(k) = -11*c(k) - 2*m(k). Find the second derivative of r(j) wrt j.
90*j
Let k(y) = -29*y**3 + 32*y**2 - 3*y + 3. Let l(a) = 28*a**3 - 33*a**2 + 4*a - 4. Let g(u) = 4*k(u) + 3*l(u). What is the third derivative of g(o) wrt o?
-192
Let l = -25/66 - -6/11. Let j(b) be the second derivative of 0*b**2 + 0 + l*b**3 - 1/10*b**5 + 2*b + 0*b**4. What is the second derivative of j(o) wrt o?
-12*o
Let w(n) be the second derivative of 3*n**7/14 + 13*n**4/12 - 9*n. Find the third derivative of w(m) wrt m.
540*m**2
What is the second derivative of -3*y - 3*y**3 - y + y wrt y?
-18*y
Let s(r) be the third derivative of r**2 + 0*r - 1/35*r**7 + 0 + 1/12*r**4 + 0*r**6 + 0*r**5 + 0*r**3. Find the second derivative of s(a) wrt a.
-72*a**2
Sup | {
"pile_set_name": "DM Mathematics"
} |
76 and 1144.
572
What is the greatest common factor of 18387 and 9?
9
Calculate the greatest common divisor of 1056 and 47344.
176
Calculate the greatest common factor of 25 and 227875.
25
Calculate the highest common factor of 11798 and 4879.
17
What is the greatest common divisor of 396 and 31548?
132
What is the highest common factor of 29220 and 2040?
60
What is the greatest common divisor of 42265 and 1343?
79
Calculate the greatest common factor of 1200615 and 975.
195
What is the greatest common divisor of 57600 and 5850?
450
What is the greatest common divisor of 11264 and 9328?
176
What is the highest common factor of 1428 and 156723?
357
Calculate the highest common factor of 18285 and 345.
345
What is the greatest common factor of 19161 and 45?
9
Calculate the highest common divisor of 3240 and 17595.
45
What is the highest common factor of 2040468 and 552?
276
Calculate the highest common factor of 1312 and 304.
16
Calculate the highest common factor of 152140 and 40.
20
Calculate the greatest common divisor of 323 and 472447.
17
Calculate the greatest common divisor of 183240 and 5580.
180
Calculate the greatest common divisor of 63 and 647991.
9
Calculate the highest common factor of 2035 and 151415.
55
What is the greatest common factor of 127023 and 351?
39
What is the greatest common divisor of 36 and 104868?
36
What is the greatest common factor of 339 and 175037?
113
What is the highest common divisor of 20820 and 144?
12
Calculate the greatest common factor of 124646 and 4.
2
Calculate the greatest common divisor of 822957 and 279.
93
Calculate the greatest common divisor of 104 and 10699.
13
What is the greatest common factor of 352 and 341728?
32
Calculate the highest common factor of 244326 and 516.
258
Calculate the highest common factor of 264 and 9384.
24
What is the highest common factor of 11764 and 39444?
692
Calculate the highest common divisor of 113927 and 143.
11
Calculate the highest common divisor of 44 and 19868.
4
Calculate the highest common factor of 4409043 and 249.
249
What is the highest common factor of 682 and 1525634?
682
Calculate the greatest common factor of 23259 and 3.
3
Calculate the highest common factor of 32 and 19678.
2
What is the greatest common factor of 148 and 204?
4
What is the greatest common divisor of 76 and 571425?
19
What is the greatest common factor of 612 and 8258124?
204
Calculate the highest common divisor of 16310 and 250.
10
Calculate the highest common divisor of 230988 and 84.
12
Calculate the greatest common factor of 68 and 988618.
34
What is the greatest common divisor of 6094 and 616?
22
Calculate the highest common divisor of 40070 and 10.
10
What is the greatest common divisor of 684 and 134634?
114
What is the highest common factor of 36 and 214299?
9
What is the highest common divisor of 35857 and 69?
23
Calculate the highest common factor of 25935 and 6783.
399
What is the greatest common factor of 1056 and 2706?
66
Calculate the greatest common divisor of 684424 and 156.
52
What is the greatest common divisor of 2295 and 26435?
85
What is the greatest common factor of 638 and 746141?
319
What is the highest common divisor of 18 and 982206?
18
Calculate the highest common factor of 1115 and 44377.
223
What is the greatest common divisor of 540804 and 8364?
204
Calculate the greatest common factor of 59085 and 315.
45
Calculate the greatest common factor of 77 and 2457.
7
Calculate the highest common divisor of 8122 and 29344.
262
Calculate the greatest common factor of 2556 and 249423.
213
Calculate the highest common factor of 32872 and 208.
8
What is the highest common factor of 10381 and 497?
7
Calculate the greatest common divisor of 897 and 4173.
39
Calculate the greatest common divisor of 97020 and 880.
220
What is the highest common factor of 24871 and 87703?
1309
Calculate the highest common divisor of 12846 and 6.
6
Calculate the greatest common divisor of 3405 and 99.
3
Calculate the highest common divisor of 21 and 6245393.
7
What is the highest common divisor of 3189132 and 162?
162
What is the highest common factor of 3014 and 22044?
22
Calculate the highest common factor of 510 and 4794.
102
Calculate the greatest common divisor of 2052 and 48.
12
Calculate the greatest common divisor of 78 and 44044.
26
What is the highest common factor of 560 and 16180?
20
Calculate the highest common factor of 14 and 872522.
14
Calculate the greatest common divisor of 1179 and 927.
9
What is the greatest common factor of 6 and 113667?
3
Calculate the greatest common factor of 496 and 13552.
16
What is the highest common factor of 774 and 2202?
6
Calculate the highest common divisor of 30 and 2356215.
15
Calculate the greatest common factor of 76401 and 36.
9
Calculate the greatest common divisor of 332311 and 5075.
203
What is the highest common factor of 133068 and 429?
39
What is the greatest common factor of 5293 and 30?
1
What is the greatest common factor of 31439 and 1688?
211
Calculate the greatest common factor of 140235 and 15.
15
Calculate the greatest common factor of 1462 and 1784371.
731
Calculate the highest common factor of 2246 and 2.
2
Calculate the greatest common factor of 165 and 503943.
33
Calculate the greatest common factor of 532 and 11837.
133
What is the highest common divisor of 432 and 3857328?
432
What is the greatest common factor of 8370 and 124?
62
What is the highest common divisor of 20 and 49684?
4
What is the greatest common factor of 19680 and 10?
10
What is the highest common factor of 357 and 12243?
21
What is the highest common divisor of 3892 and 13344?
556
What is the highest common factor of 5626170 and 220?
110
What is the greatest common factor of 9000 and 4680?
360
Calculate the greatest common factor of 6045 and 561990.
195
What is the highest common factor of 663 and 3849378?
663
What is the greatest common divisor of 8136 and 342?
18
What is the greatest common divisor of 593865 and 1325?
265
Calculate the highest common divisor of 288 and 150480.
144
Calculate the highest common factor of 311140 and 4465.
235
Calculate the highest common factor of 56119 and 21.
7
What is the greatest common factor of 10 and 24826?
2
Calculate the highest common factor of 360339 and 21.
21
Calculate the highest common divisor of 587 and 9873927.
587
Calculate the highest common factor of 50 and 319010.
10
Calculate the greatest common divisor of 35240 and 80.
40
Calculate the greatest common divisor of 22 and 3713710.
22
What is the greatest common factor of 1241 and 442?
17
What is the highest common divisor of 10569 and 4953?
39
What is the highest common factor of 1833 and 7527?
39
Calculate the greatest common divisor of 2376 and 1524.
12
What is the highest common divisor of 16216 and 96?
8
Calculate the greatest common divisor of 12109606 and 694.
694
Calculate the highest common divisor of 725 and 638775.
25
Calculate the greatest common factor of 102 and 3712222.
34
What is the greatest common divisor of 255528 and 63?
63
What is the greatest common divisor of 12 and 23116?
4
Calculate the greatest common divisor of 285 and 162355.
95
What is the greatest common factor of 3 and 3750?
3
Calculate the greatest common divisor of 828 and 2628.
36
What is the highest common factor of 2893 and 1375?
11
What is the greatest common factor of 4293 and 1802?
53
What is the highest common factor of 9204 and 156?
156
Calculate the greatest common factor of 5313085 and 535.
535
What is the greatest common divisor of 405780 and 60?
60
Calculate the greatest common divisor of 15933 and 423.
141
Calculate the greatest common divisor of 72888 and 24.
24
Calculate the highest common divisor of 2778 and 1434837.
1389
What is the greatest common factor of 413 and 504?
7
Calculate the greatest common factor of 441 and 21.
21
What is the highest common factor of 511959 and 42?
21
What is the greatest common factor of 4686 and 33654?
426
What is the greatest common divisor of 1845 and 137145?
615
What is the greatest common factor of 3542 and 77000?
154
What is the highest common divisor of 1 and 22546?
1
Calculate the highest common factor of 17854 and 1808.
226
What is the greatest common divisor of 3501 and 130315?
389
Calculate the gre | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 12 is divided by u.
5
Suppose -s - 4*s = -60. Suppose -3*r + 70 = -r. What is the remainder when r is divided by s?
11
Suppose -2*t + t + 341 = 5*a, 0 = -a + 2*t + 77. Calculate the remainder when a is divided by 20.
9
Suppose -4*h + 58 = -5*i, 4*h - h - 3*i = 42. Suppose 46 = 3*x - 95. Calculate the remainder when x is divided by h.
11
Let c(m) = 3*m**2 - 3. Calculate the remainder when c(6) is divided by 27.
24
Let h be 70/(-9) + (-4)/18. Let k = h - -18. Calculate the remainder when 38 is divided by k.
8
Let l(k) = -k**2 + 7*k + 6. What is the remainder when 47 is divided by l(6)?
11
Let w(k) = 7*k + 8. Let b(d) = -d**3 + 7*d**2 + 2*d + 8. Suppose 0 = -4*q + 12 + 16. Calculate the remainder when w(8) is divided by b(q).
20
Let j = -2 + 5. Suppose -j*v - 3*i = -72, -8*i - 88 = -4*v - 4*i. What is the remainder when v is divided by 5?
3
Let l(h) be the second derivative of h**3/6 + 3*h**2/2 - h. Calculate the remainder when ((-26)/(-5))/(4/20) is divided by l(6).
8
What is the remainder when 20 is divided by 8 + (12*-1)/3?
0
Let u = -56 + 221. What is the remainder when u is divided by 24?
21
Suppose -i + 3*i - 64 = 0. Suppose 5*w - 2*w = -6, -x + 4*w = -19. Calculate the remainder when i is divided by x.
10
Let r be (10/(-6))/((-2)/(-12)). Let p be 12/20 + 76/r. Let s(a) = a**3 + 8*a**2 + 8*a + 9. Calculate the remainder when 4 is divided by s(p).
0
Suppose j = -r + 5, -4*r + 3*j + 3 = -3. Let l = 185 - 127. What is the remainder when l is divided by 30*r*(-4)/(-18)?
18
Let t be 0 + 2 + -52 - -2. Let f = t - -67. What is the remainder when (-1296)/(-12)*(-2)/(-4) + 1 is divided by f?
17
Suppose 4*z - 7*t - 35 = -4*t, -5*t = 4*z - 27. What is the remainder when 19 is divided by z?
3
Suppose -1 = -4*h + 7. Let v = 12 + h. Suppose -s - 4*s = -d + v, 3*d = 4*s + 42. Calculate the remainder when 27 is divided by d.
13
Let b be (-16 + 4)*(-1)/(-2). What is the remainder when (4/b)/(2/(-6)) is divided by 1 + (0 - -1)/1?
0
Let c be (-3*1)/((-1)/2). Suppose 1 + 5 = c*p. Calculate the remainder when p is divided by 1.
0
Suppose 6*g - 8*g = -24. What is the remainder when 21 is divided by g?
9
Let z(y) = -y**2 - 17*y - 7. Let t be z(-16). Suppose -3*i + 23 = m, -i - 5*m + t = -6*m. What is the remainder when 28 is divided by i?
4
Calculate the remainder when 251 is divided by 8/(40/3) + 87/5.
17
Calculate the remainder when 75 is divided by (-108)/252 + (-188)/(-14).
10
Suppose 0 = -5*x + 3*x + 24. Suppose -u - 3*q - q + 6 = 0, -4*u - 4*q = -72. Calculate the remainder when u is divided by x.
10
Let d(c) = -3*c + 0 - 4*c - 4 - 3. Calculate the remainder when d(-10) is divided by 16.
15
Suppose -12*d + 13*d - 25 = 0. What is the remainder when d is divided by 16?
9
Let r(z) = z**3 - 13*z**2 - z + 17. Let c be r(13). Suppose i = -c*f - 0*f + 132, 3*f + i = 98. What is the remainder when f is divided by 18?
16
Let c = 38 + -26. Suppose 2 + 1 = -f - 2*n, -4 = -4*n. Let p(z) = -9*z. What is the remainder when p(f) is divided by c?
9
Let i(n) = -2*n - 30. Calculate the remainder when 7 is divided by i(-17).
3
Let d(k) = -2*k - 20. What is the remainder when 23 is divided by d(-14)?
7
Let v = 0 + 8. Let o = 6 - 8. What is the remainder when v is divided by o/(-2) - 16/(-4)?
3
Let r = -9 + 18. Calculate the remainder when 35 is divided by r.
8
Suppose 2*y - y = 7. Calculate the remainder when y is divided by (-10)/35*(-9 + 2).
1
Let x(t) = -t**3 - 11*t**2 - 13*t - 12. Calculate the remainder when 70 is divided by x(-10).
16
Suppose 16 = 3*m - 86. What is the remainder when m is divided by 18?
16
Suppose -255 = -3*p - 2*p. Calculate the remainder when p is divided by 9.
6
Let c(n) = n**3 - 4*n**2 + 9*n - 15. Suppose 4*a - 21 = 55. What is the remainder when c(5) is divided by a?
17
Let j = -46 - -73. Suppose m + 2*m = j. What is the remainder when 25 is divided by m?
7
Suppose 3*s + 3*p = 45, -2*p + 48 = 4*s - p. Let g = -5 + s. Let l(m) = -m**2 + 8*m - 4. Calculate the remainder when l(g) is divided by 5.
3
Suppose -4*m + a - 9 = 0, 0 = m - 2*a - 4 + 1. Let t(v) = 6*v**3 + v - 1. Calculate the remainder when (m/(-2))/(9/60) is divided by t(1).
4
Suppose -2*r - 10 = -30. Let g = 2 + r. Calculate the remainder when 23 is divided by g.
11
Let d = 64 + -43. Suppose -4 = w - d. What is the remainder when 65 is divided by w?
14
Let k(u) be the first derivative of u**4/4 + u**3/3 + 20*u - 8. What is the remainder when 39 is divided by k(0)?
19
Calculate the remainder when 23 is divided by 4 + 0*(-2)/10.
3
Suppose -3*g + 85 - 22 = 0. Let i = g - 5. Calculate the remainder when 29 is divided by i.
13
Suppose 8*s - 3*s - 65 = 0. What is the remainder when 62 is divided by s?
10
Suppose s - 12 = 20. Suppose -2*x + 6 = -6. What is the remainder when s is divided by 17 - -3 - x/2?
15
Let l be -3*1/(6/(-4)). Suppose -j = j - 20. Suppose 0 = -3*c + j + l. Calculate the remainder when 11 is divided by c.
3
Calculate the remainder when 198 is divided by 4/(4 - (-57)/(-15)).
18
Suppose 0 = -0*t - 2*t + 2*s + 18, -21 = -t + 4*s. Suppose -2*n = -t*x - 11, -x + 24 - 8 = n. What is the remainder when 23 is divided by n?
10
Let q(v) = -4*v + 3. Calculate the remainder when 20 is divided by q(-2).
9
Let j = -13 - -57. What is the remainder when j is divided by 12?
8
Suppose q + 31 = 85. What is the remainder when 104 is divided by q?
50
Let p be 24/(-30)*245/1. Let t = -5 - -10. Calculate the remainder when (t + -2)*p/(-12) is divided by 17.
15
Calculate the remainder when 46 is divided by 9/(7/(-6)*(-9)/14).
10
Suppose v - 5*v = -12. Suppose -2*d = -2*q - 38, v*d = -5*q - 8 + 105. What is the remainder when d is divided by 13?
11
Suppose -4*q = -3*g - 14, 5*g + 6 = 5*q - 14. Let a(r) = 18*r**2 + q - 2 - 4*r**2. What is the remainder when a(-1) is divided by 8?
6
Let t = 11 - 5. Let m = 12 - t. Calculate the remainder when 11 is divided by m.
5
Let p(g) be the second derivative of -g**3/2 - 3*g**2 + 2*g. What is the remainder when 45 is divided by p(-10)?
21
Suppose 2*r - 2 = -2*s, -6*s + 2*s + 4*r = -20. What is the remainder when 13 is divided by s?
1
Suppose -89 = -5*x - 2*g, -4*x + 13*g = 11*g - 82. Suppose 0 = -5*r + 25, -2*p + 4*r - 6 = -0*p. Calculate the remainder when x is divided by p.
5
Let x be (9/9)/((-2)/(-8)). What is the remainder when 20 is divided by 12/16 - (-25)/x?
6
Let l(v) = -12*v**3 + v. What is the remainder when 16 is divided by l(-1)?
5
Suppose 4*h - 304 = n + 3*n, -3 = -n. Suppose 0*t + h = t + 3*k, -t - 4*k = -74. What is the remainder when t is divided by 24?
22
Let b be (7 + (-6)/3)*-1. Let y = 0 - b. Suppose -32 = -4*j + 4*h + 44, 0 = y*j - 4*h - 92. What is the remainder when j is divided by 9?
7
Let w(f) = f**3 + 7*f**2 + 9. What is the remainder when 15 is divided by w(-7)?
6
Suppose -3*f = -3*m + 1 + 2, m - 2*f = 0. Let j(l) = l + 55. What is the remainder when j(0) is divided by (-2*(-19)/m)/1?
17
Suppose j + 3*c = 6*c - 1, -3*j = -5*c - 5. Suppose 92 = j*s + 4*z, 2*z = s - 0*s - 10. Calculate the remainder when 31 is divided by s.
15
Let t = -157 + 195. What is the remainder when t is divided by 14?
10
Let z(f) = -3*f**2 - f. Let h be z(-1). Let v be (-22)/(-2) + (h - -1). Suppose 2*w = w + v. What is the remainder when 18 is divided by w?
8
Suppose -5*v + 3*s = 15, 4*v - 2*s - 2*s = -4. Let w be (4/3)/(2/v). Let u(j) = -j**3 - 2*j**2 + 3*j + 6. Calculate the remainder when u(w) is divided by 9.
8
Suppose 3*n = -8 + 53. What is the remainder when 9/(-12) + (-115)/(-4) is divided by n?
13
Suppose 3*a + 10 = 28. What is the remainder when (a/9 - 1)*-99 is divided by 9?
6
Let t = -30 + 46. What is the remainder when 31 is divided by t?
15
Let h(s) = s**3 - 4*s**2 - 11*s + 8. Suppose -2*y = -4*g - 18 - 16, -2*y - 2*g = -64. What is the remainder when h(7) is divided by y?
24
Let c = -16 + 16. Let h be (-1)/(-4) + (-118)/(-8). Suppose c = 2*f - h - 21. Calculate the remainder when f is divided by 7.
4
What is the remainder when 143 is divided by ((-3)/4)/(((-5)/(-32))/(-5))?
23
Let f(a) = a**3 - 3*a + 1. Let z(v) = -v**2 - 4*v - 6. Let x be z(-4). Let m = 2 - x. Calculate the remainder when m is divided by f(2).
2
Let c be 1/2 - (-234)/4. Let u = -34 + c. Let b = -49 + 58. What is the remainder when u is divided by b?
7
Let k | {
"pile_set_name": "DM Mathematics"
} |
- 2*v + 0*v).
-4*v**2
Expand 29*q + 90*q - 51*q + (-2*q + 1 - 1)*(-3 + 2 - 1) - q + 0 + 0.
71*q
Expand -2*a - a + a + (-1 - 2 + 0)*(4 - 4 - 2*a)*(-1 + 7 - 1).
28*a
Expand (3*b**2 - 3*b**2 - b**3)*(-9*b - 3*b + 2*b)*(-5*b + 2*b + b).
-20*b**5
Expand 0*c**2 - c**2 - 4*c**2 + (-c - 3 + 3)*(0*c - c + 0*c).
-4*c**2
Expand (42 - 42 + 50*v)*(0*v**2 + 6*v**2 - 4*v**2) + 3*v**3 + 0*v**3 - v**3.
102*v**3
Expand (-2*o + 9*o + 11*o)*(0*o**2 - 4*o**2 + 3*o**2) - 3*o**3 + 2*o**3 + 2*o**3 + (-1 + 1 + 2*o**2)*(2*o + 2*o - 5*o) - 4 + 4 - o**3.
-20*o**3
Expand (-2 - 2 - 7)*(-2*v + 2*v - 3*v**3).
33*v**3
Expand (3 - 1 + 0)*(4 + q - 4)*(2 + 5 - 3).
8*q
Expand (0 - 4*o**2 + 0)*(4*o**2 - 3*o**2 + 0*o**2) + (2*o**3 - o**3 - 2*o**3)*(0*o + o - 3*o) - 3 + 3 + o**4.
-o**4
Expand (-4*j**3 + 4*j**3 - j**4)*(2 - j - 2) + 0 - j**5 + 0 + (j**3 + 0*j**2 + 0*j**2)*(-2*j**2 + 6*j**2 - 5*j**2).
-j**5
Expand (9 + 2 - 7)*(8 - 8*f - 8) + 5 + f - 5.
-31*f
Expand (-4*a + a + a)*(6*a + 4*a**3 - 6*a).
-8*a**4
Expand (0*m**2 + 5*m**2 - 4*m**2)*(11*m**3 + 50 - 50) + (-2*m**3 + 0*m + 0*m)*(m - m + 2*m**2).
7*m**5
Expand (-2*n + 1 - 1)*(0 - 1 - 1) + (2 - 2 + 3)*(2*n - 3 + 3) - 1 - 3*n + 1.
7*n
Expand -s + s + s + (3 - 4 - 1)*(-3*s + s + 0*s) - s + 4*s - 2*s - 3*s - 3 + 3.
3*s
Expand q**5 - q**5 - 2*q**5 + (-1 + 1 + 3*q)*(0*q**4 + 2*q**4 - q**4) + 0*q**3 + 3*q**5 + 0*q**3.
4*q**5
Expand (-1 - 3 + 3)*(-2*i + i + 2*i) - 3 + 3 + 2*i - 2*i + 2*i + i + 0*i + i + i - 3 + 4*i + 3.
8*i
Expand (-2 - 1 + 1)*((-2 + 3*n + 2)*(-1 - 1 + 5) - 6*n - n + 3*n).
-10*n
Expand (3*f**2 - 3*f**2 - f**5)*(1 + 1 + 0) + (-7*f**3 - 2 + 2)*(-2*f + f**2 + 2*f) + 2*f**5 + 3*f**5 - 4*f**5.
-8*f**5
Expand (-5 - 3 - 4 + (-2 - 1 + 1)*(1 + 5 - 4))*(0*m - 2*m + m).
16*m
Expand (2 - 3 - 1)*(32 - 112*o - 12*o - 32).
248*o
Expand (-d + 0*d + 3*d)*(-6 + 3 - 7)*(-d - 3 + 3).
20*d**2
Expand (i**3 + 0*i**2 + 0*i**2)*(198*i - 1071 + 1071).
198*i**4
Expand (-3*r - r + 2*r)*(-2*r + 0 + 0) + r**2 + 1 - 1 - r**2 - r**2 + r**2 - 2*r**2 + 3*r**2 + 0*r**2 - 2*r**2 - r**2 + 6*r**2.
8*r**2
Expand (21*x - 11*x - 12*x + 12)*(0 - 1 + 3).
-4*x + 24
Expand 2 + 2*s - 2 + (6*s - 3*s - s)*(0 - 4 + 2) + 4*s + 2*s - 2*s.
2*s
Expand (-1 + 3 + 1)*(-x + 0*x + 0*x)*((x - x - 2*x**2)*(-3*x + 4*x - 3*x) - 2*x**3 + 6*x - 6*x).
-6*x**4
Expand d**5 - 14*d**5 + 2*d**5 + (-3*d**2 + 3*d**2 + d**3)*(-5*d**2 + d**2 + 2*d**2) + 4*d**5 + d**3 - d**3.
-9*d**5
Expand (-m**2 + 6*m**2 - 3*m**2)*(-45 - 14*m + 45) - 3*m**2 - m**3 + 3*m**2.
-29*m**3
Expand (-5*m**2 + 5*m**2 - 2*m**5)*(3 - 17 + 1).
26*m**5
Expand m**4 - m**4 + m**5 + m**5 + m**5 + 0*m**5 + (-3*m**3 + 9*m**3 + 7*m**3)*(4 - 4 + m**2) - 2*m**5 + 5*m**5 - m**5.
18*m**5
Expand (-10*s - 6*s + 5*s)*(2*s**4 - 3*s**4 + 3*s**4).
-22*s**5
Expand (-v + 6*v - 3*v)*(12 - 12 + 16*v + (5*v - 5*v + 2*v)*(5 - 2 - 5) + 1 - v - 1).
22*v**2
Expand (0*x + 3*x - 2*x)*(5*x + 5 - 5).
5*x**2
Expand 5*n**2 - n + n + 2*n**2 - 4*n**2 - 7*n**2 + (-5*n + 4*n + 2*n)*(-4*n + n + 2*n).
-5*n**2
Expand 4*i**5 + 2 - 8*i + 8*i + (-1 + 1 + 3*i**3)*(3 - 2*i**2 - 3).
-2*i**5 + 2
Expand (0 + 0 - l**3)*(2 - 2*l + 9 - 1).
2*l**4 - 10*l**3
Expand (16*q**3 - 24*q**3 - 62*q**3)*(2*q - 2*q**2 - 2*q).
140*q**5
Expand (-7*h + 3*h + 3*h)*(-2*h**2 + 2*h**2 + h**3) - 3*h**4 + 6*h**4 - 4*h**4 + (-2*h**2 + h**2 + 3*h**2)*(2*h**2 + 1 - 1) - 3*h**4 + 0*h**4 + 4*h**4.
3*h**4
Expand (3 - 1 + 0)*(-p**3 - 3*p**3 - 6*p + 3*p**3).
-2*p**3 - 12*p
Expand (-3 - 2 + 3)*(-19*o + 19*o + 46*o).
-92*o
Expand (3*l - 2*l + 0*l)*(-2*l - 2*l + 2*l)*(-2*l + l**2 + 2*l).
-2*l**4
Expand (0 - 2 + 4)*(-5*c + 5*c + 3*c**3) + 3*c**3 - 7*c**3 + 3*c**3.
5*c**3
Expand -14*x + 14*x - x**3 + 10 + (-2*x + 4*x - x)*(2*x**2 + 2*x - 2*x).
x**3 + 10
Expand (-1 - 3 + 2 + (4 - 3 - 2)*(1 + 2 - 6))*(3 - r - 3).
-r
Expand ((-5 + 5 - 2*i)*(6*i - 2*i - 2*i) - 6 + 6 - 2*i**2)*(-3*i + 0*i + 2*i).
6*i**3
Expand (0*r**3 + 2*r**3 - r**3 + (2*r**2 + 0*r**2 + 0*r**2)*(3 - 2*r - 3))*(3 + 3 - 3 - 2 + 2 - 3 + (2 - 1 + 0)*(-1 + 0 + 0)).
3*r**3
Expand (2*c**2 + 3 - 3)*(c**2 + 2*c**3 - c**2) + 2*c**2 + c**3 - c**3 - 2*c**5 + 4*c**5 - 6*c**5 + 4*c**5.
4*c**5 + 2*c**2
Expand -3*k**3 - 2*k**5 + 3*k**3 + (-k**3 + k**5 + k**3)*(0 + 0 + 2) + (-3*k**2 - 4*k**2 + 5*k**2)*(-5*k**3 + 2*k**3 + k**3) - 8*k**4 + 8*k**4 - 3*k**5.
k**5
Expand (0 - t**2 + 0 + t**2 - 2 + 2 + (-3*t**2 + 3*t**2 + 2*t**2)*(-2 - 2 + 2) - 4*t**2 + 8 - 8)*(2*t - 2*t - 2*t).
16*t**3
Expand 0*w + 4*w - 6*w - 4*w + 4*w + w + (-w - w + 0*w)*(4 - 2 - 1) - w - 3 + w - w + (-1 + 3 + 0)*(2*w + 2 - 2) + 3*w + 2*w - 3*w.
2*w - 3
Expand (4*g + g - 4*g)*(0*g**3 + g**3 - 3*g**3) - 3*g**2 + 0*g**2 + g**2 - 5*g**4.
-7*g**4 - 2*g**2
Expand (-2 - m**2 + 2)*(1 + 2*m**3 - 1) - 4*m**5 + 59*m**3 - 59*m**3.
-6*m**5
Expand (3*v**2 - v**2 + 0*v**2)*(0*v + 2*v + 0*v + (-3*v - 8*v + 4*v)*(2 + 0 + 0) + 0 + 0 + 2*v).
-20*v**3
Expand (-t**2 + 5*t**2 - 3*t**2)*(-t**3 - 3 + 3) + 3*t**5 + 0*t**5 - 4*t**5 + 4*t**5 - 4*t**5 + 3*t**5.
t**5
Expand (0*m**2 + 0*m**2 - 2*m**3)*(2 - 6 + 2)*(-2*m**2 + 2*m**2 + m**2).
4*m**5
Expand (-8*f + 2*f - f)*(f - 3 + 3).
-7*f**2
Expand (-3*v + v + 3*v)*(3 - 2 - 2 + (5 - 3 - 4)*(-4 + 4 - 2) + 2 + 1 + 2).
8*v
Expand (0*r**2 + r**2 - 2*r**2)*(7 - 8 + 50).
-49*r**2
Expand (-s - 2*s + 5*s)*(-7*s**3 - 3*s**4 + 7*s**3)*(3 - 4 + 2) + (-s**2 + 4*s**2 - 4*s**2)*(-2*s**3 - 2*s**3 + 3*s**3).
-5*s**5
Expand (0 - 1 + 8)*((6*l + 6*l - 6*l)*(0*l + 0*l - 2*l) - 3*l**2 + l**2 + l**2).
-91*l**2
Expand -2*d + 2*d**3 + 0*d - 5*d**3 + (0 - 4 + 2)*(2*d**3 + d**3 + d**3).
-11*d**3 - 2*d
Expand (-3 + 2*v + 3)*(-11*v - 37 + 38 - 3*v).
-28*v**2 + 2*v
Expand (22*l - 13*l + 8*l)*(l - 5 + 5 + (3*l - l - 4*l)*(-2 + 3 - 3) - 2*l - 4*l + 5*l + 0*l + 4*l - 2*l + 0*l + 4*l - 2*l)*(2*l + 2*l - 2*l).
272*l**3
Expand (0*b + 2*b**3 + 0*b)*(-2*b**2 - b + b + (b + b - b)*(-3*b + 2 - 2)).
-10*b**5
Expand 0 + 0 + o**3 + 3*o**3 + 0*o + 0*o + 0*o**3 + 3*o**3 - 2*o**3 + (2*o - o + o)*(-2*o**2 + 2*o - 2*o) - o**2 + o**2 + o**3.
2*o**3
Expand (2*k**2 + 2*k**3 - 2*k**2)*(2*k + 2*k - k) - 4*k**4 - 3*k**4 - 2*k**4.
-3*k**4
Expand (0*k + 0*k + 2*k)*(5 + 2 - 4) - 5*k + 4*k + 0*k + (k - 5 + 5)*(2 + 3 - 6).
4*k
Expand (3*v + v**2 - 2*v - 1 - 3*v**2)*(-4 + 3 - 2).
6*v**2 - 3*v + 3
Expand (1 + 2*o**2 - 1)*(0*o + 0*o - 2*o) - o**3 - 2*o + 2*o + 3*o**3 - 6*o + 6*o - 3*o**3 + 5*o**3 - 13*o**3.
-13*o**3
Expand (2*o**3 - 2*o**2 + 2*o**2)*(o**2 + 6*o**2 - 3*o**2) + (13*o**3 - 11*o**2 + 11*o**2)*(0*o**2 + o**2 + 0*o**2).
21*o**5
Expand (0*j - 2*j**2 + 0*j - 1 + 1 + j**2 + (4 + 0 - 2)*(-2 + 2 + 2*j**2) - j**2 - 4*j**2 + 4*j**2 + 2*j**2 - 5*j**2 + 2*j**2 + 4*j**2 - 2*j + 2*j)*(0 + 3 + 0).
15*j**2
Expand 0*k - 2*k + 4*k + (2*k - 2*k + 4*k)*(-5 + 5 + 2).
10*k
Expand g**3 + 4*g**3 - 3*g + 6*g + 1 + 2*g**3 - 1 + 3*g - g**3 - 3*g + (-4*g**2 + 5*g**2 - 3*g**2)*(-1 + 1 - g) + 3 - 3 + 2*g**3 - 3*g**2 + 2*g**3 + 3*g**2.
12*g**3 + 3*g
Expand -h**4 - 3*h**4 + 2*h**4 + (-3*h**2 + h**2 + 0*h**2)*(-h**2 + 3*h**2 + 0*h**2) + (-2*h + 6*h - 2*h)*(-h**2 - h**3 + h**2).
-8*h**4
Expand 0*w**3 + 4*w**2 - 10*w**2 - 2*w**3 + (0*w + 0*w - 2*w**3)*(-1 + 3 + 0).
-6*w**3 - 6*w**2
Expand (5*m - m - 2*m)*(-6 + 2 - 2) - 6*m - 3*m - m.
-22*m
Expand (13 + 15 - 12)*(1 - 1 + k).
16*k
Expand (-4 + 0 + 3 + 0 - 4 + 3 + (1 - 2 + 0)*(-1 - 1 + 3) + 1 - 1 - 2 + 2 - 4 + 4)*(o**3 - 9*o**3 + 2*o**3).
18*o**3
Expand (0*u + 2*u**2 + 0*u)*(-2*u - 2*u + 6*u) + 4*u**3 - 2*u**3 - u**3 + u - 2*u**3 + 7*u**2 - 7*u**2.
3*u**3 + u
Expand 2*l - 12*l - l**3 + 0*l + (9 - 9 - 2*l**2)*(-2*l + l - l).
3*l**3 - 10*l
Expand (-1 - 2 - 1)*(4*x - x - 2*x)*(-2*x**2 - x**2 + 2*x**2)*(-3 + 3 + 2*x).
8*x**4
Expand (-3*v**2 + 3*v**2 + v**2)*(13 + 7*v - 26 + 14).
7*v**3 + v**2
Expand -3*u**4 + u**4 + 0*u**4 + (u**2 + 2*u**2 - u**2)*(4 - 4 + 3*u**2).
4*u**4
Expand 0*w**3 - w**3 - w**3 + (-79*w + 62*w + 33*w)*(w**2 - 4*w**2 + w**2).
-34*w**3
Expand (t + 4*t - 3*t)*(4 + 12*t - 3 - 3)*(0*t + t + t).
48*t**3 - 8*t**2
Expand -2*g + 2*g**3 + 2*g + (3*g**2 + g**2 - 6*g**2)*(5*g + 0*g - 3*g) - 1 + 4*g**3 + 1 + 2*g**3 - g**3 + g**3.
4*g**3
Expand 4*l**5 - 4*l**5 - 3*l**5 + (2*l - 2*l + l)*(-12*l**4 - 14*l**4 + 8*l**4).
-21*l**5
Expand (2*c + 3*c - 4*c)*(0*c - c - c) - c**2 + 0*c**2 + 4*c**2.
c**2
Expand (-1 + 1 + 2 + (-1 + 1 + 2)*(-3 + 2 - 1))*(c + 0*c - 3*c) + 22*c - 12*c - 11*c.
3*c
Expand (7*b | {
"pile_set_name": "DM Mathematics"
} |
r be 4713/2357 - (2 - 0). Let m = r - 25875/122564. Let w = m - 1/26. Is w > 0?
False
Let l = -8 + 7. Is -4 < l?
True
Let s be (-3)/((-9)/6) + -2. Suppose s = -5*k + 3*b - 4*b + 4, -5*b = 5. Let h = k - 0. Which is smaller: -1 or h?
-1
Let x be (-2 - 147/(-69))/((-21)/28). Which is greater: x or -1?
x
Let l = -8 + 9. Suppose 3*z = -5*g - 25, z - 2*g - l = g. Which is smaller: -7 or z?
-7
Let h = 9 - 12.5. Let r = -5 - h. Let z = -1 - r. Which is greater: 2/3 or z?
2/3
Let d(b) = 2*b**2 + 23*b + 24. Let w(q) = 3*q**2 + 35*q + 36. Let x(h) = 8*d(h) - 5*w(h). Let l be x(-8). Is l > 4?
False
Let j = -3/65 - 23/65. Let b = -103/3 + 34. Is j < b?
True
Let q(b) = -b**2 - 5*b + 1. Suppose 0*m + 5*o + 25 = -5*m, 2*o = 4*m + 14. Let z be q(m). Suppose -z*n + 4 = 19. Which is smaller: n or 1?
n
Let f = -321 + 320. Let y = -19 + 12. Let w be y/4 + 2 + -1. Which is greater: w or f?
w
Let n be 4*2/24*-1. Which is smaller: n or 1?
n
Suppose -3*t - 5*g - 21 = t, t - 2*g = 11. Let d(j) = j**3 - 3*j**2 + 2*j + 1. Let p be 35/(-14)*(-4)/5. Let n be d(p). Is n <= t?
True
Let k = 460/7511 + 2/259. Suppose 0 = -d - 2*d + 4*a + 11, -5*d - 5*a = 5. Are d and k nonequal?
True
Suppose 2*z = 6 + 4. Suppose 2*g - 1 = -3*p + z, g = p + 13. Is 9 at least g?
True
Let j(a) = a**2 + 9*a + 3. Let l be j(-9). Suppose -l*c - 2 = 4*i, -i + 4*c - 3 = 7. Is -2 < i?
False
Let y = 54 + -61. Which is smaller: y or -4?
y
Let u be 5/((-4)/(-8)*-2). Is u greater than or equal to -6?
True
Let f = 509 - 346. Let s = -485/3 + f. Which is greater: s or 2?
2
Suppose 5*x - 3 = -0*x + 4*n, 1 = x - n. Let y = -1/12 - 65/84. Are x and y unequal?
True
Let p be (0/(1/(-1)))/2. Suppose p = -n - n. Let w = -0.3 + 0.2. Which is greater: n or w?
n
Suppose y - 1 + 11 = 2*g, -y + 14 = 4*g. Let o be 2/6 - (1 - -1). Which is bigger: o or y?
o
Suppose -m - m + 16 = 0. Let b = m - 7. Which is smaller: 2/15 or b?
2/15
Suppose -29*u + 25*u = -72. Is 18 equal to u?
True
Let b = -1 + 1. Suppose b = 2*v + 1 + 7. Let h be 2 + (v/(-1))/(-2). Which is smaller: h or 2/9?
h
Suppose -t - 2*t = -57. Suppose 20*x + 1 = t*x. Which is greater: -5/3 or x?
x
Let j = 5 + -4. Let u be (j - 4)/(5 + -4). Is -2 <= u?
False
Let r(j) = 2*j**2 + 1. Let x be r(1). Let w(y) = y**3 - 5*y**2 + 2*y - 7. Let z be w(5). Is x equal to z?
True
Let x(h) = 4*h**3 + h**2 + 2*h. Let a be x(2). Is a <= 40?
True
Suppose 0*h = 4*h - 28. Suppose -6*p = -2*p - 12. Suppose -4*o - 16 = -g, -p*g = -2*g + o - 6. Which is smaller: h or g?
h
Let s be 5*-3*4/30. Let p = 1 + -1. Which is bigger: s or p?
p
Let w(j) = -j**2 - j - 1. Let z be w(-1). Suppose -7*v + 2*v + 1315 = 0. Let h = -3421/13 + v. Is h at least z?
True
Let q be 128/799 - 8/68. Is q < 0?
False
Let i = 0.2 + -0.4. Let y be (-25)/180*(-6)/20. Let u = y - 53/120. Is i != u?
True
Suppose 0 = -0*r - 4*r + 8. Let c be r/(-12)*(-15)/25. Which is bigger: -1 or c?
c
Let c(h) be the third derivative of 65*h**4/24 - h**3/3 - 2*h**2. Let z be c(-4). Let q = -1831/7 - z. Which is smaller: 1 or q?
q
Let k = 17/90 - -1/30. Which is bigger: k or -1?
k
Suppose 5*t + 472 = 2*u, -u - 3*u + 464 = -5*t. Which is smaller: t or -0.1?
t
Let j = -27026/1315 - -40/263. Which is smaller: -19 or j?
j
Suppose w - 24 = -2*w. Which is smaller: 6 or w?
6
Let u = -1.41 - -1.49. Is u less than or equal to -2?
False
Let m(h) = h**3 - 2*h**2 + h. Let v be m(2). Let i be ((-1)/(-3))/(v/6). Suppose -2*f - 5 = -3*o, -3*f - 16 = -0*o + 4*o. Is o less than or equal to i?
True
Let t = 13.07 + -13. Let n = -6.07 + t. Which is greater: 0.1 or n?
0.1
Let z = -24 + 37. Let l(p) = -p + 18. Let y be l(z). Which is smaller: y or 3?
3
Let c be 0 + 0 + 0 - 2. Suppose -4 + 6 = u. Suppose -6 = -u*p + 5*p. Are c and p nonequal?
False
Let d(a) = -a**2 - 4*a - 3. Let f be d(-3). Is f at least 1/8?
False
Let r = -932 - -21442/23. Is -1 less than r?
True
Let j = 1 + -1. Let m(p) = -5*p**3 + p. Let s be m(-1). Suppose -2 = -2*x - s. Is j equal to x?
False
Let a = -2 + 2. Let z = -0.2 + a. Is 1 at least z?
True
Let i be -247 - (-9)/(-1 + -2). Let x be (1/(-2))/((-3)/i). Let l = x - -41. Which is greater: l or 2/7?
2/7
Let t(k) = k + 4. Let l be t(-3). Which is greater: l or -2/65?
l
Let b = -259 - -127. Let g be -3 + (-5)/(260/b). Which is smaller: 1 or g?
g
Let d(x) = -2*x - 13. Let l be d(-15). Do l and 18 have different values?
True
Suppose 0 = 5*r + 2*h - 11, 2 - 8 = 3*h. Suppose -17 - 4 = -r*n. Let s(k) = 3*k + 70. Let g be s(-21). Is n at least as big as g?
True
Let v = 9 + -8.93. Let a = 3.6 + -4.6. Which is greater: a or v?
v
Let n = 1 - 0. Let u be (-5 + 5)*(-2)/(-6). Is n at least u?
True
Let n = 50.9 - 3.9. Which is greater: 0 or n?
n
Let n be -2 - (-1 + 9/(-7)). Let u = 3 - 5. Let y = u - -2.2. Is n > y?
True
Let k = 27 + -16. Suppose 0*g - k = -g. Which is greater: 1 or g?
g
Let s(p) = -p + 12. Let w be s(8). Is 6 at most as big as w?
False
Let z = -43676/9 + 4848. Which is bigger: -6 or z?
z
Let q = 3.7 + -4. Let g = 0.24 + -0.44. Which is smaller: g or q?
q
Let p = -8 + 7.7. Let t = 7.9 - 0.9. Let f = -6 + t. Which is smaller: f or p?
p
Let w = -29.88 + 30. Which is smaller: w or -2/9?
-2/9
Let i = 2 + 3. Let x be 2/(i/(10/8)). Let k = 0.1 + 0. Is k at least as big as x?
False
Suppose r + 2*z = 8, -2*r + z = -4*r + 10. Let h = r - 2. Suppose -1 = h*g - 3. Which is smaller: -1 or g?
-1
Let q = -17 - -18. Which is smaller: -2/21 or q?
-2/21
Let j = 0.04 + 0.06. Let l = -0.1 + j. Is l greater than or equal to -1?
True
Let s = -17 + 29. Let u = 6 + -5. Let l be u/(-2) + 22/s. Are l and 2 nonequal?
True
Suppose 0 = -4*g + g + 12. Suppose 2*d = g*d. Which is smaller: d or 0.1?
d
Let u = -10.1 + 10.7. Which is bigger: u or 0?
u
Suppose -7*n = -3*n + 28. Let f(w) = 0 + w**2 - 1 - w**3 - 8 - 8*w - 9*w**2. Let g be f(n). Is -1 greater than g?
True
Suppose -35*q + 25*q + 50 = 0. Which is bigger: -5 or q?
q
Let i = -25 - -24.2. Let u = -1 - i. Is u not equal to 5/2?
True
Suppose 2*l - 2 = 2*a + 10, 0 = 2*a + l. Which is smaller: a or -9/7?
a
Suppose 10*f = 7*f - 30. Is f > -11?
True
Let h(b) = -b**2 + 8*b - 5. Let z be ((-14)/6)/((-1)/3). Let s be h(z). Is 4/7 at least as big as s?
False
Let g be (-285)/(-1161) - 10/45. Do 1 and g have the same value?
False
Let p = 1 + 2. Let t = p - 1. Which is bigger: 2/3 or t?
t
Let u = 262 - 6554/25. Are u and 1 nonequal?
True
Let c be 14/21*(-3)/13. Is c at most as big as 2/11?
True
Suppose -15*q + 48 = -19*q. Let s be q/8*4/3. Is s <= -5/8?
True
Let f = 5 + 0. Let y = -5.07 + f. Let z = y + 0.17. Is 2/7 greater than or equal to z?
True
Let y be ((-16)/(-9))/(-1) + (0 - -2). Are 0 and y nonequal?
True
Let x = 5 + -2. Let y = 10 + 3. Suppose 2*c - 2 = 3*j, y = j + 2*c + 3. Which is smaller: j or x?
j
Let q = -33/2 + 16. Let v be (2/3)/((-44)/12). Which is greater: q or v?
v
Suppose -i = 4*i - 10. Suppose -i*j - j = 0. Suppose j*m = -2*m. Is m >= 0?
True
Let x = -3/14 - -101/406. Are 0 and x unequal?
True
Let i = 9 + -12. Let v be -2 + (-1 + -2)/i. Is 1/6 less than or equal to v?
False
Suppose -5*j + 50 = -5*x, 12 = 2*x + 2*j + 36. Let o be 2/(-28)*(-1 - x). Is o less than 0?
True
Let r = 0.4 - -0.2. Let g = r - -0.4. Let k = -3.04 + 0.04. Is g greater than or equal to k?
True
Let v(h) = -h**2 + 6*h + 9. Let x be 0/(0 + -3) + 7. Let u be v(x). Let t be u*(1 + (-9)/6). Which is bigger: t or -2/5?
-2/5
Let b = -5 - 2. Let d be (-1)/((-3)/(-2))*3. Let y be b/d + 2/4. Which is smaller: y or 1?
1
Let k = 35 - 42. Let b = -7.0058 - -0.0258. Let s = b - k. Which is greater: s or -1?
s
Suppose 0*d + 4*d = 0. Are d and 5/8 equal?
False
Let f be 3 + (4 - 2)*-1. Does 2/39 = f?
False
Let f = -38/3 + 40/3. Let l be (-2)/7 - 12/7. Let n = l - -2. Is f smaller than n?
False
Let a = 1996109/114 - 106775/6. Let f = 286 + a. Which is smaller: 1 or f?
f
Let k = -121 - -85. Is -36 >= k?
True
Suppose 3*v + 9 = 6. Is v less than -1/6?
True
Let h = 357 + -255. Let j = h - 508/5. Which is greater: -1 or j?
j
Let w = 152575/26 + -5869. Let g = -3/13 - w. Which is greater: g or 1?
1
Let p = 29 + -24. Let g = -9 - -3. Let o = p + g. Which is smaller: -2/11 or o?
o
Let v be (3 - 1)/((-1)/2). Let s be (75/10)/((-3)/v). Is s greater than or equal to 10?
True
Let y be (-364)/(-18) - 2/9. Suppose 0 = -3*s + 7*s + y. Which is smaller: s | {
"pile_set_name": "DM Mathematics"
} |
is o(i)?
-8
Let w(l) be the first derivative of l**3/3 + 3*l**2/2 + l + 32. Give w(-5).
11
Let j be (-570)/14 - (-14)/(-49). Let b = j - -43. Let v(g) = -g + 4*g**3 - 3*g**2 - 3*g**3 + 0*g. Give v(b).
-6
Suppose -4*r + 21 = -i, -4*i - 14 - 15 = -5*r. Let k(g) = -g**2 + 9*g - 11. Give k(r).
9
Let i(r) be the second derivative of -r**4/12 + 5*r**3/6 - 2*r**2 - 2*r. Let y be -14 - -10 - 1/((-4)/32). Give i(y).
0
Let f(c) = 1 - c + 2*c + 5*c. Let a(w) = -2*w**3 + 2*w**2 - 11*w - 2. Let s be a(0). Determine f(s).
-11
Suppose 0 = -6*z + 4*z + 4. Let f(n) = -5*n**3 - 2*n**2 + 0*n - 2*n - 1 + z + 4*n**3. What is f(-3)?
16
Let m(z) = 2*z**2 - z - 1. Let x(s) = 4*s**2 - 3*s - 2. Let f be (20/(-16))/(3/(-12)). Let c(r) = f*m(r) - 2*x(r). Give c(-2).
5
Let b be 2 + 2 + (0 - -1). Let z = 12 + 97. Let f(q) = -109*q - z*q + 7 + 223*q + 4*q**2 - q**3. Determine f(b).
7
Let b(z) = 12*z**2 + 3*z**2 - 7 + z**3 - z**2 + 2*z**2 - 6*z**2. Give b(-10).
-7
Let s(t) be the second derivative of t**3/6 + 3*t**2/2 + 16*t. Let n(z) = z**3 + 6*z**2 - 5. Let g be n(-6). What is s(g)?
-2
Let t(p) = p + 8. Let w(y) = -3*y - 21. Let b(s) = 8*t(s) + 3*w(s). What is b(-6)?
7
Suppose 0 = 2*h - 5*b + 7, 0 = b + 4*b - 25. Let z(f) = f**3 - 9*f**2 - 2*f + 7. Give z(h).
-11
Let c(n) = n**3 - 4*n**2 + 3*n + 2. Let f = -40 - 37. Let z be (-2)/4 + f/(-22). Let r = 0 + z. What is c(r)?
2
Let h(b) = -b**3 - 5*b**2 - 4*b + 3. Let o = -32 + 25. Let f be o + 6/(-1*8/(-4)). Give h(f).
3
Suppose -2*g = -7*g + 55. Suppose -3*x - 4*l - 25 = 0, 6*x - 4*l = 2*x - 80. Let q = x + g. Let p(n) = n + 2. Give p(q).
-2
Let q(d) be the second derivative of 0 + 1/2*d**3 + 25*d - 1/2*d**2. Give q(2).
5
Let m(o) = 7*o + 4975 - 4975. What is m(1)?
7
Let g(q) = 15*q - 4*q**3 + 2*q**2 + 6*q**3 - 35*q + 18*q - 2. What is g(-2)?
-6
Let a be (-7)/((8/(-60))/(12/(-10))). Let x = 60 + a. Let w(o) = -4*o - 5. Let f(b) = b + 1. Let j(u) = -9*f(u) - 2*w(u). Give j(x).
4
Let i(f) be the second derivative of -f**4/12 - f**3/3 - f - 44. Calculate i(6).
-48
Let l(a) = -2 + 0 + a**2 - 5 + 5*a**2 + a + a**3. Calculate l(-6).
-13
Let s(z) = z**3 - 2*z**2 - 1. Let q(y) = 5*y**3 - 14*y**2 + 5*y - 6. Let p(j) = q(j) - 6*s(j). What is p(-4)?
12
Let x(d) = -d**3 + d**2 + 4*d + 1. Let w be (-4)/(-12) - (-28)/6. Let c(u) = -w*u + 19 + u + 6*u. Let f be c(-8). Calculate x(f).
-5
Let z = -16 + 18. Let i(j) = -j**2 + 6*j + 6. Let x be i(5). Let v(h) = -7 - z*h + x - 5 + h**2 + 2*h**3. Determine v(-2).
-9
Let l = 110 + -110. Let s(z) be the second derivative of -z**3/2 + 29*z**2/2 + 3*z. Let f(d) = -d + 10. Let m(w) = -17*f(w) + 6*s(w). Give m(l).
4
Let i(s) = 14*s**3 - 18*s**2 - 11*s - 11. Let n(v) = 5*v**3 - 6*v**2 - 4*v - 4. Let b(p) = -4*i(p) + 11*n(p). Give b(6).
0
Let p(t) be the third derivative of -8*t**2 + 1/60*t**5 + 0*t + 5/12*t**4 + 0 + 7/6*t**3. Give p(-6).
-17
Let i be (-240)/45*6/(-8). Let c = i + 5. Let p(w) = -41 - c*w + 16 + 24. Give p(1).
-10
Let p(s) be the third derivative of s**6/120 + 7*s**5/30 - 5*s**4/8 + 10*s**3/3 + 7*s**2 + 14. Determine p(-15).
20
Let t(g) = g + 3. Let l(q) = q**3 - 5*q**2 + 8*q - 12. Let u be l(3). Calculate t(u).
-3
Suppose 0*z - 12 = -3*z. Let p(f) = 35*f**2 - 4*f + 21. Let i(k) = -6*k**2 + k - 4. Let q(c) = 6*i(c) + p(c). Give q(z).
-11
Let x(h) = 8*h**3 + 2*h**2 - 4*h + 10. Let n(z) = 3*z**3 + 2*z**2 - 2*z + 5. Let k(v) = -5*n(v) + 2*x(v). Determine k(6).
7
Suppose -364 = -18*r + 68. Let c(y) = r + y - 12*y + 10*y. Give c(0).
24
Let r be ((-2)/(-4))/(2/4). Let c(x) = 3 - 2 + 0 + 0 - x. Let s(p) = 4*p - 7. Let g(o) = 6*c(o) + s(o). Give g(r).
-3
Suppose -5*q - 3*o + 95 = 0, -o = o - 10. Let z be (-13)/4 - 12/q. Let k(m) be the third derivative of -m**5/60 - m**4/4 - 5*m**3/6 + 2*m**2. Calculate k(z).
3
Let q(s) = -46*s - 832. Let p be q(-18). Let c(o) = -o**2 - 8*o + 2. Determine c(p).
18
Let o = -290 - -285. Let w(a) = a**2 + 3*a - 2. Give w(o).
8
Suppose -5*s + 0*s - 93 = 4*u, -s = 3*u + 56. Let f = -13 - u. Let j be f - 4 - (-9 + 2). Let p(i) = i**3 - 8*i**2 + 7*i - 3. What is p(j)?
-3
Let b(j) be the first derivative of j**3/3 + 7*j**2/2 + 2*j + 9. Let z = 7 + -4. Suppose -2*q + z*q + 6 = 0. What is b(q)?
-4
Let u(q) = -5*q - 3. Let c(d) = -2*d - 2. Let z(y) = y + 1. Let l(i) = 3*c(i) + 4*z(i). Let g be 33/(-5) + (-2)/5. Let r(w) = g*l(w) + 3*u(w). What is r(5)?
0
Let k(d) = -18*d**3 - 2*d**2 - d + 35. Let x(w) = 13*w**3 + 2*w**2 + w - 24. Let f(c) = -5*k(c) - 7*x(c). Give f(-3).
-10
Let q(d) be the first derivative of -d**4/24 + d**2 + 5. Let s(l) be the second derivative of q(l). Determine s(-4).
4
Let z(p) = -p**3 - 5*p**2 + 6*p + 2. Let r(q) be the third derivative of q**4/24 - 5*q**2. Let y be r(5). Suppose 23 - y = -3*d. Give z(d).
2
Let m be 546/(-117)*(-12)/(-14). Let k = 7 - 5. Let t(o) = 6 + 3*o**k - 2*o**2 + 0*o**2 + 5*o. Give t(m).
2
Suppose 4*i = 26 - 6. Suppose -l - 2 = -a, 5*l = -i*a + 2 + 8. Let q be l - -3 - (-7 + 4). Let x(s) = -s**2 + 5*s + 7. What is x(q)?
1
Let q(f) = 0*f**2 + 11 + f**2 + 8 - 9 - 10*f. Determine q(9).
1
Let z be ((-28)/8 - -5)/(6/8). Let a(c) = 96*c**3 - 97*c**3 - 1 - 7*c**2 - 5*c + 2 - z*c. Calculate a(-6).
7
Suppose 147*q = 20*q. Let n(a) = a + 46. Determine n(q).
46
Let i(r) = -r**3 - 3*r + 19 + 3*r**2 + r - r**3 - 16. What is i(2)?
-5
Let s(m) = 2*m**2 + 7*m**2 - m**3 - 9 + 10*m**2 - 4*m**2 + 17*m. What is s(16)?
7
Let d be 8/36 + 32/18. Let w(y) = -y + 2*y + y**3 - 5 + 5*y**d - 4*y**2. Let l = 6 + -6. Determine w(l).
-5
Let t(g) be the first derivative of -g**4/4 + 2*g**3 - 7*g + 195. Suppose -3*y + 6 = 3*f, -4*y + f - 2 = y. Suppose y = 5*r - 19 - 11. Determine t(r).
-7
Let o(a) = -a - 1. Let u = 295 + -302. Calculate o(u).
6
Suppose -302*n + 295*n - 35 = 0. Let y(p) = -5*p - 24. Calculate y(n).
1
Let q = 1 - -4. Suppose 7*f - q*f = -14. Let m(k) = 2*k**2 + 11*k + 6. Give m(f).
27
Let c(m) be the first derivative of 1 + 0*m - 4/3*m**3 - 1/60*m**5 + 1/6*m**4 + 0*m**2. Let r(w) be the third derivative of c(w). What is r(4)?
-4
Suppose -4*a - 19 = -p, 5*p + 4*a + 29 = 172. Let q be (4/(-12))/((-3)/p). Let r(w) = -q*w + 4*w + w + 7 - 3*w. Give r(0).
7
Let z(t) be the second derivative of t**3/3 + 11*t**2 + 148*t. Calculate z(-5).
12
Let r(i) = -i + 1. Let o(l) = -9. Let a(h) = -h. Let t(p) = 5*a(p) - o(p). Let q(g) = 6*r(g) - t(g). Calculate q(-8).
5
Let v(b) = 14*b**2 - 21*b + 140. Let j(h) = -h**2 + 2*h - 14. Let s(t) = -10*j(t) - v(t). Suppose 0 = -5*q - r + 12, -r = -3*r + 4. Calculate s(q).
-14
Let c be -2 - (-1 + 0 - 1). Let r(s) = -s**2 - 1 + 67142*s**3 - 67143*s**3 - 6. Determine r(c).
-7
Let x(q) be the first derivative of q**3 - q**2 - 3*q + 13. Let y = 1 - 3. Determine x(y).
13
Let s(b) = 6*b. Let c be 2/(-1) + (-608)/(-19). Let g be -7*(c/(-35))/6. Give s(g).
6
Let p(r) = r. Let m be (3/4)/(6/72). Calculate p(m).
9
Let y(u) be the first derivative of -3*u**2/2 + 13*u + 12. Let z be y(4). Suppose z = -2*t + 3. Let q(h) = -10*h + 1. Calculate q(t).
-9
Let w(q) = 2*q**2 - q - 1. Suppose 0*z = -7*z - 28. Let r be (-1)/3 - 37/(-3). Let t be 6/r - (-10)/z. Determine w(t).
9
Suppose -191 = 22*r - 15. Let t(n) = 2*n + 5. Calculate t(r).
-11
Let c(y) = 21*y**2 - 23*y - 111. Let j(g) = 7*g**2 - 8*g - 39. Let k(b) = 6*c(b) - 17*j(b). What is k(-1)?
6
Suppose 0 = 5*d, 0 = w + 5*d - 0*d + 10. Let p(a) = a**3 + 9*a**2 - 9*a + 1. Determine p(w).
-9
Let b(x) be the second derivative of x**3/2 - 7*x**2/2 - 22*x + 4. What is b(-11)?
-40
Let o(w) = w**2 + 3*w - 4. Let d be 3/7 - 80/7. Let a = d - -6. Give o(a).
6
Let w(d) = -4*d**2 + 10*d - 7. Let y(f) = -f**2 + f - 1. Let h(s) = w(s) - 3*y(s). Calculate h(6).
2
Let j(t) = -5*t**2 - 3*t + 4. Suppose 8*m - 40 = -64. Determine j(m).
-32
Let d(b) = -b + 14. Let z(v) = 13. Let f be ((-12)/(-8))/(1/(-2)). Let s(h) = f*d(h) + 4*z(h). Give s(-7).
-11
Let c(g) = 3*g**2 + 17*g - 6. Suppose 25 = 5*s, -5*s = 3*z - 2*s + 3. Calculate c(z).
0
Let q = -221 - -224. Let v(u) be the third derivative of 5/3*u**q + 0*u - 1/60*u**5 - 5*u**2 + 0 + 5/24*u**4. What is v(7)?
-4
Let u = -4 - -6. Let i(c) = 4*c - 4 - c**2 - u*c - 2*c. Determine i(0).
-4
Suppose 4*b + 169 = 209. Let u(t) = b + 3*t - 11 - 6*t + 10*t. Calculate u(-1).
-8
Let i(s) be the second derivative of 7*s**5/20 - 2*s. Let q = 272 - 271. Calculate i(q). | {
"pile_set_name": "DM Mathematics"
} |
144
Calculate the highest common factor of 11 and 352.
11
Calculate the greatest common divisor of 16 and 3728.
16
What is the highest common factor of 714 and 2278?
34
Calculate the greatest common divisor of 52 and 793.
13
Calculate the greatest common factor of 6336 and 550.
22
Calculate the greatest common factor of 33 and 111.
3
Calculate the highest common factor of 13 and 299.
13
What is the highest common divisor of 4200 and 28?
28
Calculate the greatest common divisor of 192 and 8952.
24
Calculate the greatest common divisor of 46 and 851.
23
Calculate the highest common divisor of 21 and 161.
7
Calculate the highest common divisor of 1560 and 26.
26
What is the greatest common factor of 84 and 651?
21
What is the greatest common factor of 6 and 596?
2
What is the highest common divisor of 185 and 333?
37
What is the greatest common factor of 1195 and 85?
5
What is the greatest common factor of 288 and 15192?
72
What is the greatest common divisor of 13 and 195?
13
What is the highest common divisor of 64 and 208?
16
What is the greatest common factor of 784 and 49?
49
Calculate the greatest common factor of 976 and 427.
61
Calculate the greatest common divisor of 2475 and 33.
33
What is the highest common factor of 158 and 79?
79
Calculate the highest common divisor of 225 and 195.
15
What is the highest common factor of 159 and 583?
53
What is the highest common factor of 122 and 5002?
122
What is the greatest common factor of 12566 and 206?
206
Calculate the greatest common divisor of 1024 and 8.
8
Calculate the highest common divisor of 20300 and 25.
25
Calculate the highest common factor of 315 and 280.
35
Calculate the highest common divisor of 456 and 399.
57
Calculate the highest common divisor of 60 and 12.
12
Calculate the highest common factor of 39 and 143.
13
What is the highest common divisor of 12 and 12948?
12
What is the highest common factor of 99 and 144?
9
Calculate the greatest common divisor of 816 and 3024.
48
Calculate the greatest common divisor of 1325 and 25.
25
Calculate the greatest common divisor of 318 and 2703.
159
What is the highest common divisor of 1456 and 224?
112
What is the highest common factor of 3652 and 176?
44
What is the highest common factor of 48 and 24?
24
What is the highest common factor of 473 and 86?
43
Calculate the highest common divisor of 38 and 741.
19
What is the highest common factor of 5340 and 240?
60
Calculate the highest common factor of 143 and 3302.
13
What is the highest common divisor of 107 and 85279?
107
Calculate the greatest common divisor of 900 and 120.
60
What is the greatest common factor of 3875 and 31?
31
What is the highest common factor of 81 and 126?
9
What is the greatest common factor of 22 and 55?
11
Calculate the highest common factor of 6 and 74.
2
Calculate the highest common divisor of 32 and 20.
4
Calculate the highest common factor of 45269 and 203.
203
Calculate the greatest common factor of 2085 and 15.
15
What is the greatest common factor of 66 and 110?
22
What is the highest common factor of 55 and 176?
11
Calculate the greatest common divisor of 945 and 783.
27
What is the greatest common factor of 243 and 657?
9
What is the greatest common divisor of 75 and 5925?
75
Calculate the greatest common divisor of 108 and 2538.
54
Calculate the greatest common factor of 1128 and 36.
12
What is the greatest common divisor of 141 and 11515?
47
Calculate the greatest common factor of 581 and 664.
83
Calculate the greatest common factor of 40 and 88.
8
Calculate the highest common divisor of 210 and 1610.
70
Calculate the greatest common factor of 448 and 4144.
112
What is the greatest common factor of 49 and 637?
49
Calculate the highest common divisor of 49 and 973.
7
Calculate the greatest common factor of 19465 and 255.
85
Calculate the greatest common divisor of 340 and 1275.
85
What is the highest common divisor of 9917 and 844?
211
What is the highest common factor of 1106 and 70?
14
Calculate the highest common factor of 148 and 68.
4
Calculate the greatest common divisor of 45 and 405.
45
What is the greatest common divisor of 19 and 608?
19
What is the greatest common divisor of 596 and 1639?
149
What is the greatest common divisor of 485 and 679?
97
What is the highest common factor of 18 and 720?
18
What is the greatest common factor of 96 and 3504?
48
Calculate the greatest common factor of 60 and 9732.
12
What is the highest common factor of 106 and 159?
53
What is the highest common factor of 1764 and 216?
36
Calculate the highest common factor of 21 and 1.
1
What is the greatest common factor of 108 and 243?
27
What is the highest common divisor of 92 and 1472?
92
Calculate the highest common divisor of 4797 and 82.
41
Calculate the highest common divisor of 9 and 453.
3
Calculate the highest common factor of 15105 and 570.
285
What is the highest common factor of 1781 and 13?
13
What is the greatest common divisor of 234 and 54?
18
What is the highest common divisor of 7272 and 216?
72
Calculate the highest common divisor of 32 and 288.
32
Calculate the highest common divisor of 78 and 7566.
78
What is the highest common divisor of 26 and 32734?
26
What is the greatest common divisor of 150 and 60?
30
Calculate the greatest common factor of 102 and 238.
34
Calculate the highest common divisor of 5 and 320.
5
Calculate the greatest common divisor of 65 and 5.
5
Calculate the greatest common divisor of 4419 and 3.
3
What is the greatest common factor of 440 and 132?
44
Calculate the greatest common factor of 384 and 3184.
16
What is the greatest common factor of 1364 and 88?
44
What is the highest common factor of 640 and 1760?
160
What is the greatest common factor of 240 and 110?
10
Calculate the highest common divisor of 861 and 105.
21
What is the greatest common factor of 885 and 15?
15
What is the greatest common divisor of 1805 and 95?
95
Calculate the greatest common divisor of 315 and 1505.
35
Calculate the greatest common divisor of 90 and 4.
2
What is the highest common divisor of 39174 and 6?
6
What is the highest common divisor of 100 and 30?
10
What is the highest common divisor of 103 and 15244?
103
What is the greatest common factor of 292 and 219?
73
What is the greatest common divisor of 8 and 136?
8
What is the highest common divisor of 5988 and 24?
12
What is the greatest common divisor of 78 and 130?
26
What is the highest common divisor of 198 and 2475?
99
Calculate the greatest common divisor of 27 and 30321.
27
What is the highest common divisor of 885 and 8673?
177
What is the greatest common factor of 5509 and 7?
7
Calculate the greatest common divisor of 22 and 32.
2
Calculate the greatest common factor of 12285 and 252.
63
Calculate the greatest common divisor of 32 and 8608.
32
What is the highest common divisor of 49 and 2989?
49
What is the greatest common factor of 56 and 1512?
56
What is the greatest common factor of 69654 and 94?
94
Calculate the highest common factor of 149 and 298.
149
What is the greatest common factor of 993 and 33?
3
Calculate the highest common factor of 1200 and 720.
240
What is the greatest common factor of 178 and 2?
2
What is the greatest common divisor of 362 and 7783?
181
What is the greatest common factor of 43 and 5?
1
Calculate the highest common factor of 632 and 8.
8
Calculate the greatest common factor of 294 and 147.
147
What is the highest common factor of 120 and 45?
15
Calculate the greatest common factor of 1200 and 448.
16
What is the greatest common divisor of 945 and 84?
21
Calculate the highest common divisor of 334 and 43921.
167
Calculate the greatest common factor of 14 and 2086.
14
What is the highest common divisor of 12 and 65892?
12
What is the highest common factor of 126 and 1098?
18
What is the highest common divisor of 1313 and 505?
101
What is the highest common factor of 46 and 10?
2
What is the greatest common divisor of 14 and 994?
14
What is the greatest common divisor of 324 and 12?
12
What is the highest common divisor of 655 and 10?
5
Calculate the greatest common factor of 90 and 720.
90
What is the greatest common factor of 16 and 200?
8
Calculate the greatest common divisor of 2596 and 44.
44
What is the highest common factor of 42 a | {
"pile_set_name": "DM Mathematics"
} |
3*z, -z + 5*z = -2*f - 10. Let h be ((-6)/z)/(1/(-2)). Sort n, h, 2 in increasing order.
h, n, 2
Let i = 3 - 3.2. Let k = 3.2 - 0.2. Put k, i, -0.5 in decreasing order.
k, i, -0.5
Let h = 0.57 - 0.07. Put 1/9, 2/3, h in increasing order.
1/9, h, 2/3
Suppose -l + 2*g = 1, 0 = l + 4*l - g - 22. Let h(s) = -4 + 4 + 4*s. Let c be h(1). Sort l, 3/4, c.
3/4, c, l
Let p = 0.2 + -0.5. Let h = p - 0.7. Suppose 12 + 3 = 3*n, 3*b = -n + 11. Put b, h, -0.4 in descending order.
b, -0.4, h
Suppose 0 = -5*f + j + 20, j = -0*j - 5. Sort f, 3/4, 5.
3/4, f, 5
Let i(k) = -k**2 - 15*k - 17. Let j be i(-14). Put 1, -4, 5, j in decreasing order.
5, 1, j, -4
Let l = 6 + -9. Sort l, 3, -2.
l, -2, 3
Suppose -4*k + 33 = -5*m, 3*m + 10 = m. Suppose 4*v + k = -6. Sort -1, v, 5 in ascending order.
v, -1, 5
Let y be -2 - -2*6/2. Suppose -13 + 1 = -y*g. Sort 1, -5, g in decreasing order.
g, 1, -5
Let s(o) = o**2 + 4*o + 1. Let v be s(-4). Put -1, v, 6 in descending order.
6, v, -1
Let b be (-4)/(-6) + 168/18. Suppose 0 + b = -2*q. Let r = -5 + 4.6. Put 0, q, r in descending order.
0, r, q
Let z = -6 - -8. Suppose v = -z*m - 12, -2*v + v = -2*m - 4. Put m, 5, 2 in descending order.
5, 2, m
Let w = -0.49 + 0.09. Suppose 0 = 3*u + 2*u - 60. Let l be 2/(-24) + (-3)/u. Put l, -0.3, w in increasing order.
w, l, -0.3
Let h = -17/7 + 109/42. Put h, -1/4, 4, 0.1 in descending order.
4, h, 0.1, -1/4
Let m = -47 - -47. Put -0.3, 5, m in descending order.
5, m, -0.3
Suppose -60*g - 6 = -58*g. Suppose -2*b + 4*n = 2*n - 16, n + 36 = 5*b. Sort g, b, 0.
g, 0, b
Let t(b) = b**2 - 2*b - 14. Let z be t(5). Let j be 0/((-3)/3*-1). Sort z, -3, j in decreasing order.
z, j, -3
Let r be 9/3 + 52/(-16). Let l = -8/7 + 23/14. Put 0.4, r, l in descending order.
l, 0.4, r
Let b = 1.26 + -0.26. Let u = 1 + -6. Put u, b, 5 in increasing order.
u, b, 5
Let s(m) = -m**2 - 15*m + 3. Let u be s(-15). Suppose 0 = -2*h + 2 - 4. Let b = 1.03 + -0.03. Sort u, b, h.
h, b, u
Let o(a) = -a - 11. Let f be o(-6). Sort f, -0.4, 4 in decreasing order.
4, -0.4, f
Let h = -1 + -2. Put -0.2, h, 2 in increasing order.
h, -0.2, 2
Let k be 23/(-7) + 10 + -7. Sort k, 0.1, 0.4 in descending order.
0.4, 0.1, k
Let u be (2/(-6))/((-3)/(-9)). Suppose -4*t + 8 = -5*t. Let v(d) = d**2 + 8*d + 1. Let f be v(t). Sort -5, f, u.
-5, u, f
Let w be (2/(-5))/(2/(-10)). Suppose -3 = 2*o + 5. Sort 5, w, o.
o, w, 5
Let q(d) = -d**2 - 9*d - 1. Let z be q(-9). Put -3, 5, z, -6 in descending order.
5, z, -3, -6
Suppose 0 = d + 3*d - 8. Let c(r) = 2*r - 3. Let v be c(2). Let m = v + 3. Put 5, m, d in decreasing order.
5, m, d
Let f = -4 - 3. Let t = -4 - f. Sort t, -0.4, 0.4 in decreasing order.
t, 0.4, -0.4
Suppose 5*m - 3*w - 17 = 0, 0 = -2*m - 6*w + 2*w - 14. Suppose 0 = -3*u + 5*i - 15, 5*i = -u + 9 + 6. Sort 9, m, u in decreasing order.
9, m, u
Let z be 4/((0 + 1)/1). Suppose -z*o = -3*o. Sort 1, 5, o in increasing order.
o, 1, 5
Let x be 3*1 + -10 + 2. Sort x, 8, 0, -2.
x, -2, 0, 8
Let i(d) = -d - 5. Let s be i(-6). Suppose -17 + 5 = 5*q + k, 6 = -3*q - k. Let y = 1 - 1. Sort q, y, s.
q, y, s
Let c = -134 - -135. Put c, -6, 2 in decreasing order.
2, c, -6
Let j = 6 + -7. Let z = -11 + 10.5. Sort z, -3, j in decreasing order.
z, j, -3
Let j = -22 + 18. Sort -5, 0, j in increasing order.
-5, j, 0
Let i = -22 - -1. Let f = 18 + i. Sort f, -4, -2 in increasing order.
-4, f, -2
Let k = -7 + 7. Suppose 2 = -2*a - 2*y, k = -a - 2*y - 0*y - 1. Suppose 4*m - 7*m - 12 = 0. Sort a, m, -3 in decreasing order.
a, -3, m
Let d = -0.056 - -2.056. Let p = 1.1 - 1. Put p, d, 1/5 in decreasing order.
d, 1/5, p
Let q = 2 - 1. Suppose 5*m = -25, 3*m + 20 = 3*k + 2*m. Suppose 2*r = 3*c - 17, -r - 31 = -5*c + 3*r. Put c, k, q in descending order.
k, c, q
Let v = -11 + 10. Let h be ((-6)/(-4))/(2/8). Put h, v, 1 in ascending order.
v, 1, h
Let d = 242/3 - 80. Put 0.1, d, -3, 0 in descending order.
d, 0.1, 0, -3
Let k = 101 + -99. Put -2, k, 1 in ascending order.
-2, 1, k
Let o be (-3)/((21/4)/(-7)). Suppose -o*b - 4*u = 20, -3*b - 2*u - 14 = -0*b. Sort b, 3, -1 in descending order.
3, -1, b
Suppose -2*w - 3 = w. Suppose 8*n + 3 = -37. Suppose -2*d + 2 + 0 = 0, -3*d + 6 = v. Sort n, v, w in decreasing order.
v, w, n
Suppose 0 = -q + 4*j + 7, j - 3 = 2*j. Sort -4, q, -13 in decreasing order.
-4, q, -13
Let c = -10 - -6. Suppose 4 = -6*u - 8. Put 3, c, u in increasing order.
c, u, 3
Let u be (13/(-78))/(6/(-4)). Sort -2, 0.22, u in decreasing order.
0.22, u, -2
Let t be 35/14*(-12)/(-15). Let k be -1*(0 + 1) - -5. Sort t, k, -3 in increasing order.
-3, t, k
Let w = 3 + -8. Let s = w - -13. Sort -2, -1, s in decreasing order.
s, -1, -2
Suppose -5*d + 39 = -2*b, 4*b - d = -2*d - 23. Put b, -4, 2 in decreasing order.
2, -4, b
Suppose 0 = -r - r + 4. Sort -2, 1, r in descending order.
r, 1, -2
Let p = 0.55 + -0.05. Let x = p - 0.7. Put -1, x, 0.5 in decreasing order.
0.5, x, -1
Let p = -3 - -1. Let d = -4 - p. Let r be 6/21 + (-6)/(-252)*-19. Sort d, r, -2/7.
d, -2/7, r
Let x be 17 + (-1)/(2 + -1). Let k be x/6*(-60)/(-16). Suppose 4*t = -k - 10. Sort 2, -2, t.
t, -2, 2
Let p = -9 + 8.3. Let t = -3.327 + 0.027. Let i = p + t. Sort 1, -3, i in ascending order.
i, -3, 1
Let v = 0.24 + 0.06. Let f be (13/(-1) + 0)*-1. Let a = f + -17. Sort -1/3, a, v in descending order.
v, -1/3, a
Suppose 0 = 4*d - 9*d - 15. Let i(p) = p**2 - 6*p - 3. Let w = -15 - -22. Let m be i(w). Put d, m, 2 in increasing order.
d, 2, m
Let f = -0.2 - -0.4. Let n be (-3 + (-106)/(-38))/(-2). Sort n, 0.1, f in ascending order.
0.1, n, f
Let r = 35 + -36.7. Let n = 2 + r. Put n, 2, -3/7 in decreasing order.
2, n, -3/7
Let h(r) = -2*r**2 + r + 1. Let m = 0 - -10. Let z be 15/(-6)*(-8)/m. Let f be h(z). Put 4, -3, f in decreasing order.
4, -3, f
Let g(b) = -b - 4. Let a be g(-4). Let h = 2 - a. Suppose 3*d + 5*v - h = 4*d, -13 = -3*d - 4*v. Put d, 4, 1 in decreasing order.
4, d, 1
Let y = 28/79 - 1455/316. Let b = -55/12 - y. Put 0.4, -2/7, b in descending order.
0.4, -2/7, b
Let y = -2 - -1. Sort -2, 3, -6, y in decreasing order.
3, y, -2, -6
Let g = 5 + -5. Let y = 0.4 - -0.1. Put g, 2, y in decreasing order.
2, y, g
Let h = 129 - 1417/11. Put 11, 3, h in increasing order.
h, 3, 11
Let o = 3 + -5. Let b = 2 + o. Let l = -0.2 - b. Put 1/2, l, 0.2 in decreasing order.
1/2, 0.2, l
Suppose 4*l = 5*l + 4. Sort 2, -1, l in descending order.
2, -1, l
Let u = -48.2 + 48. Sort u, 1/2, 2/7 in increasing order.
u, 2/7, 1/2
Let m = 1/12 - -7/60. Let a = 1 + -0.5. Let v = 2.5 + -3. Put m, a, v in decreasing order.
a, m, v
Let k = -2 + 6. Let i = -2 + 2.1. Let q = -0.07 + -0.33. Put k, q, i in ascending order.
q, i, k
Let i = -17 + 17. Suppose v - 7 + 2 = i. Put v, -2, -3 in ascending order.
-3, -2, v
Suppose 0*r = 4*r. Let h = 0.08 - -0.92. Put h, 2/7, r in ascending order.
r, 2/7, h
Let b(x) = -2*x - 17. Let w be b(-10). Put -4, -3, w, 2/7 in descending order.
w, 2/7, -3, -4
Let d = -3.99 - -4. Let h = d - 0.31. Put h, -3, -2 in descending order.
h, -2, -3
Let w = 272 + -2990/11. Let a = -11 + 16. Put a, w, -5/6 in increasing order.
-5/6, w, a
Let u = -21 - -21.3. Sort 1, u, -1 in decreasing order.
1, u, -1
Let h = 6 + -3. Let m = h + -3. Let p be 2 + -2 + -3 + 0. Put p, 5, m in descending order.
5, m, p
Let c = 4.7 - 5. Let h be ((-14)/(-6) + -2)*(-12)/(-16). Sort 1/2, c, h in increasing order.
c, h, 1/2
Let i be (-1)/(((-4)/1)/8). Let a be ((1 + -2)*1)/1. Suppose 2*n + 3*n - 5 = 0. Put n, a, i in decreasing order.
i, n, a
Suppose 4*i + 36 = -5*k, k + k + 16 = -2*i. Sort k, 7, 2.
k, 2, 7
Let s = 0.19 + -0.09. Let p = 0.1 - s. Put -0.5, p, 2/7 in descending order.
2/7, p, -0.5
Let f(d) = d - 1. Let g be f(1). Suppose g = 5*w + 5*k, 5*w + k = 2*w + 6. Sort 4, w, 0 in decreasing order.
4, w, 0
Suppose 8 = -0*h + 4*h. Suppose o + 11 = -3*w, 3 = h*o + 4*w + 21. Sort 5, -4, o in increasing order.
o, -4, 5
Let v = -2 - 1. Sort -2/7, 0.03, v in increasing order.
v, -2/7, 0.03
Suppose -v = -0*v. Let a = -27 + 49. Let u = -18 + a. Sort 2, v, u in ascending order.
v, 2, u
Let z(u) = u**2 - u + 2. Let t be z(0). Let n(p) = 9*p**3 + p - 2. Let w be n(1). Let o = -9 + w. Sort -3, o, t in ascending order.
-3, o, t
Let s = -0.06 - 0.44. Put s, -3, -0.1, -4 in increasing order.
-4, -3, s, -0.1
Suppose 5*o + 3*p = 117, 2*p | {
"pile_set_name": "DM Mathematics"
} |
3, -7709, -17769, -31853, -49961?
-2012*o**2 + 339
What is the l'th term of 92, 236, 582, 1232, 2288, 3852?
17*l**3 - l**2 + 28*l + 48
What is the q'th term of 2068, 2085, 2108, 2131, 2148, 2153, 2140, 2103?
-q**3 + 9*q**2 - 3*q + 2063
What is the h'th term of 33, 60, 101, 162, 249?
h**3 + h**2 + 17*h + 14
What is the u'th term of 9526, 19057, 28588?
9531*u - 5
What is the o'th term of -5015, -5014, -5013?
o - 5016
What is the u'th term of 16807, 33613, 50419, 67225, 84031, 100837?
16806*u + 1
What is the j'th term of 431, 792, 1161, 1538, 1923, 2316, 2717?
4*j**2 + 349*j + 78
What is the g'th term of -2390892, -2390893, -2390894, -2390895, -2390896, -2390897?
-g - 2390891
What is the j'th term of -67795, -135589, -203383, -271177?
-67794*j - 1
What is the o'th term of 2000, 16383, 55424, 131453, 256800, 443795, 704768, 1052049?
2055*o**3 - o**2 + o - 55
What is the z'th term of -7703952, -7703950, -7703948, -7703946, -7703944?
2*z - 7703954
What is the j'th term of -8, 266, 696, 1276, 2000, 2862, 3856?
-j**3 + 84*j**2 + 29*j - 120
What is the l'th term of 15266, 15250, 15220, 15170, 15094, 14986?
-l**3 - l**2 - 6*l + 15274
What is the v'th term of 37590, 37592, 37594, 37596?
2*v + 37588
What is the v'th term of -259, -1281, -3001, -5425, -8559, -12409, -16981?
-v**3 - 343*v**2 + 14*v + 71
What is the y'th term of -2940, -2930, -2942, -2988, -3080, -3230, -3450, -3752?
-2*y**3 + y**2 + 21*y - 2960
What is the a'th term of 30, -58, -352, -954, -1966, -3490, -5628?
-17*a**3 - a**2 + 34*a + 14
What is the n'th term of -3925, -7377, -10831, -14287, -17745?
-n**2 - 3449*n - 475
What is the b'th term of 218055, 218061, 218067?
6*b + 218049
What is the i'th term of 42093, 84183, 126265, 168339, 210405, 252463, 294513?
-4*i**2 + 42102*i - 5
What is the k'th term of 7811, 7838, 7859, 7874?
-3*k**2 + 36*k + 7778
What is the l'th term of 2067, 2139, 2211, 2283?
72*l + 1995
What is the o'th term of -2811, -5631, -8457, -11289, -14127, -16971, -19821?
-3*o**2 - 2811*o + 3
What is the t'th term of -6530, -6601, -6668, -6731, -6790, -6845, -6896?
2*t**2 - 77*t - 6455
What is the y'th term of 331, 303, 203, -5, -357, -889, -1637, -2637?
-6*y**3 + 14*y + 323
What is the w'th term of 108, 130, 188, 300, 484?
3*w**3 + w + 104
What is the v'th term of 3422, 6749, 10076, 13403, 16730?
3327*v + 95
What is the j'th term of -7558, -30254, -68080, -121036, -189122?
-7565*j**2 - j + 8
What is the z'th term of -697, -2775, -6239, -11089, -17325?
-693*z**2 + z - 5
What is the f'th term of 39683, 79357, 119025, 158687?
-3*f**2 + 39683*f + 3
What is the y'th term of -37717, -75441, -113165, -150889, -188613, -226337?
-37724*y + 7
What is the z'th term of 915, 1799, 2683, 3567?
884*z + 31
What is the w'th term of 147579, 147973, 148377, 148797, 149239?
w**3 - w**2 + 390*w + 147189
What is the p'th term of -47, -330, -1091, -2570, -5007, -8642, -13715?
-40*p**3 + p**2 - 6*p - 2
What is the c'th term of 421, 434, 487, 604, 809, 1126, 1579, 2192?
4*c**3 - 4*c**2 - 3*c + 424
What is the d'th term of -26706, -53410, -80112, -106812?
d**2 - 26707*d
What is the v'th term of 1147, 1101, 1041, 961, 855, 717, 541, 321?
-v**3 - v**2 - 36*v + 1185
What is the f'th term of -184, -607, -1294, -2239, -3436, -4879, -6562, -8479?
f**3 - 138*f**2 - 16*f - 31
What is the i'th term of 1185, 1193, 1199, 1203, 1205, 1205, 1203?
-i**2 + 11*i + 1175
What is the c'th term of -232, -464, -694, -928, -1172, -1432, -1714, -2024?
-c**3 + 7*c**2 - 246*c + 8
What is the a'th term of 151, 671, 1201, 1747, 2315, 2911, 3541, 4211?
a**3 - a**2 + 516*a - 365
What is the a'th term of 218235, 218238, 218243, 218250, 218259, 218270?
a**2 + 218234
What is the g'th term of -950, -951, -946, -929, -894?
g**3 - 3*g**2 + g - 949
What is the v'th term of 228, 489, 750?
261*v - 33
What is the f'th term of 29770, 29782, 29800, 29824?
3*f**2 + 3*f + 29764
What is the a'th term of -4146, -4542, -4938, -5334?
-396*a - 3750
What is the a'th term of 24715, 24617, 24533, 24469, 24431, 24425, 24457?
a**3 + a**2 - 108*a + 24821
What is the b'th term of 45844, 183422, 412720, 733738?
45860*b**2 - 2*b - 14
What is the z'th term of 132, 144, 150, 150, 144?
-3*z**2 + 21*z + 114
What is the v'th term of 26, 94, 198, 338, 514, 726, 974?
18*v**2 + 14*v - 6
What is the o'th term of 9508, 19024, 28540?
9516*o - 8
What is the s'th term of -39134, -78232, -117330?
-39098*s - 36
What is the x'th term of 27, -86, -337, -726?
-69*x**2 + 94*x + 2
What is the b'th term of -3553, -3533, -3485, -3397, -3257, -3053, -2773?
2*b**3 + 2*b**2 - 3557
What is the b'th term of 3, -232, -467, -702, -937, -1172?
-235*b + 238
What is the s'th term of -34218, -68444, -102670, -136896?
-34226*s + 8
What is the i'th term of 2801041, 2801040, 2801037, 2801032, 2801025, 2801016?
-i**2 + 2*i + 2801040
What is the d'th term of 3973, 3820, 3667, 3514, 3361?
-153*d + 4126
What is the o'th term of 172, 720, 1632, 2902, 4524?
-o**3 + 188*o**2 - 9*o - 6
What is the x'th term of -310, -538, -686, -748, -718, -590, -358, -16?
x**3 + 34*x**2 - 337*x - 8
What is the c'th term of 436, 460, 516, 616, 772, 996, 1300?
2*c**3 + 4*c**2 - 2*c + 432
What is the q'th term of -86, -124, -76, 88, 398, 884?
5*q**3 + 13*q**2 - 112*q + 8
What is the u'th term of -6112, -5721, -5330, -4939, -4548?
391*u - 6503
What is the b'th term of 3280, 6340, 8966, 10942, 12052, 12080, 10810?
-36*b**3 - b**2 + 3315*b + 2
What is the c'th term of -42, -64, -100, -144, -190, -232, -264?
c**3 - 13*c**2 + 10*c - 40
What is the r'th term of -191279, -191275, -191271, -191267, -191263, -191259?
4*r - 191283
What is the c'th term of -7583, -15156, -22729, -30302, -37875, -45448?
-7573*c - 10
What is the j'th term of 1745, 1689, 1607, 1487, 1317, 1085, 779, 387?
-2*j**3 - j**2 - 39*j + 1787
What is the l'th term of -254, -277, -288, -281, -250, -189?
l**3 - 30*l - 225
What is the b'th term of -129597, -259178, -388759, -518340, -647921, -777502?
-129581*b - 16
What is the l'th term of 581, 640, 699, 758?
59*l + 522
What is the p'th term of -293, -1626, -3847, -6956, -10953?
-444*p**2 - p + 152
What is the y'th term of -108, -167, -274, -429?
-24*y**2 + 13*y - 97
What is the o'th term of -12518, -12528, -12542, -12560, -12582?
-2*o**2 - 4*o - 12512
What is the p'th term of 35327, 35378, 35427, 35474?
-p**2 + 54*p + 35274
What is the v'th term of 108, 156, 144, 72, -60, -252?
-30*v**2 + 138*v
What is the z'th term of 22486, 44965, 67440, 89911, 112378, 134841?
-2*z**2 + 22485*z + 3
What is the q'th term of -300, -610, -886, -1122, -1312, -1450, -1530, -1546?
q**3 + 11*q**2 - 350*q + 38
What is the b'th term of 12514, 25053, 37592, 50131, 62670?
12539*b - 25
What is the g'th term of 4472, 8960, 13438, 17900, 22340, 26752?
-g**3 + g**2 + 4492*g - 20
What is the z'th term of -6526, -6706, -6884, -7060, -7234?
z**2 - 183*z - 6344
What is the x'th term of 6705, 13383, 20063, 26745?
x**2 + 6675*x + 29
What is the c'th term of 8506, 34017, 76536, 136063, 212598, 306141?
8504*c**2 - c + 3
What is the f'th term of 150, 351, 554, 759, 966, 1175, 1386?
f**2 + 198*f - 49
What is the g'th term of 79, 76, -23, -266, -701, -1376?
-8*g**3 + 53*g + 34
What is the z'th term of -30, -337, -646, -957, -1270, -1585, -1902?
-z**2 - 304*z + 275
What is the g'th term of -59, -226, -519, -944, -1507, -2214, -3071?
-g**3 - 57*g**2 + 11*g - 12
What is the d'th term of 240445, 240439, 240421, 240385, 240325, 240235, 240109, 239941?
-d**3 + d + 240445
What is the l'th term of 7227719, 7227714, 7227697, 7227662, 7227603, 7227514, 7227389, 7227222?
-l**3 + 2*l + 7227718
What is the i'th term of 206557, 206546, 206521, 206476, 206405?
-i**3 - i**2 - i + 206560
What is the q'th term of 651, 553, 383, 135, -197, -619, -1137?
-q**3 - 30*q**2 - q + 683
What is the m'th term of -14698, -14667, -14616, -14545, -14454, -14343?
10*m**2 + m - 14709
What is the y'th term of -6293, -12817, -19341, -25865?
-6524*y + 231
What is the y'th term of 20123, 40202, 60281, 80360, 100439?
20079*y + 44
What is the n'th term of -118, -431, -940, -1645, -2546, -3643, -4936?
-98*n**2 - 19*n - 1
What is the r'th term of 1052, 1093, 1134, 1175, 1216, 1257?
41*r + 1011
What is the q'th term of 13700, 13700, 13708, 13730, 13772, 13840, 13940, 14078?
q**3 - 2*q**2 | {
"pile_set_name": "DM Mathematics"
} |
y 7?
6
Suppose 5*q - 3*v = -0*v + 278, 0 = 2*q - 3*v - 104. What is the remainder when q is divided by 15?
13
Let r = -185 + 223. Let h(s) = s**2 - s. Calculate the remainder when r is divided by h(-4).
18
Calculate the remainder when 54 is divided by -1*(-2)/6*12 - -4.
6
Let n = 1 - 1. Let t be ((-26)/(-3))/(28/(-42)). Let u = n - t. Calculate the remainder when u is divided by 7.
6
Calculate the remainder when 7 is divided by (-32)/(-24)*3/2.
1
Let n be (-4)/(-6) - 12/(-9). Suppose f + 9 = n. Let i(t) = -2*t + 2. What is the remainder when 31 is divided by i(f)?
15
Suppose -q - 4*u + 98 = 0, 2*u - 32 = -q + 70. What is the remainder when q is divided by 29?
19
Let a = -3 + 2. Let w(t) = -27*t. Let p be w(a). Suppose 0 = -4*f + 2*f + 4*z + 2, 2*f + z - p = 0. Calculate the remainder when 32 is divided by f.
10
Let m = -27 - -334. Calculate the remainder when m is divided by 44.
43
Let m(b) = -8*b - 5. Calculate the remainder when 56 is divided by m(-3).
18
Let u = -37 - -66. What is the remainder when u is divided by 5?
4
What is the remainder when 65 is divided by (-360)/(-16) - 1/2?
21
Let c = -49 - -81. Calculate the remainder when 56 is divided by c.
24
Let n be ((-30)/45)/((-2)/6). Suppose 41 = 4*m - m + 2*u, m = -n*u + 7. Calculate the remainder when m is divided by 5.
2
Suppose -r + 35 + 0 = 0. Calculate the remainder when r is divided by 3.
2
Let v(z) = z**3 - 9*z**2 + 14*z - 30. Calculate the remainder when 87 is divided by v(8).
15
Suppose -5*t + 5*w - 260 = -10*t, 4*t = 5*w + 199. Calculate the remainder when t is divided by 6/(-3)*(4 - 11).
9
Let o(l) be the first derivative of 7*l**2/2 - 3*l + 2. Let r = -11 + 28. What is the remainder when o(5) is divided by r?
15
Let m(p) = -2*p**3 - 2*p + 6*p - 2 + 3*p**3 + p**2. Calculate the remainder when m(3) is divided by 12.
10
What is the remainder when 14 is divided by 27 + -32 + (-15)/(-1)?
4
Let a = -12 - -29. Suppose 17*h - 4*h = 130. Calculate the remainder when a is divided by h.
7
Let u(b) = b**3 + 4*b**2 + 4*b + 2. Let t(l) = -5*l**3 - 16*l**2 - 17*l - 8. Let n(w) = 2*t(w) + 9*u(w). What is the remainder when 29 is divided by n(4)?
9
Let o(b) = 19*b - 4. What is the remainder when o(1) is divided by 8?
7
Let p be 2/(-8) - 26/(-8). Suppose p*u - 25 = -2*u. Calculate the remainder when 18 is divided by u.
3
Suppose 44 - 159 = 5*t. Let b = -10 - t. Suppose 0 = 4*q - 5*a - 163, -3*q - 1 = -5*a - 127. What is the remainder when q is divided by b?
11
Let p(y) = 2*y**3 - 5*y**2 + 7*y + 2. What is the remainder when p(5) is divided by 15?
12
Suppose -36 = -2*o - o. Let h(t) = t**3 + 3*t**2 - 2*t - 4. Let j be h(-3). Suppose -3*f + 175 = j*f. Calculate the remainder when f is divided by o.
11
Suppose v = -2*v + 27. Let o = -52 + 77. What is the remainder when o is divided by v?
7
Suppose 3*y = 2*y + 4. Suppose 4*l - 28 = -y*f, -3*l + 41 = -3*f - 4. Let n(p) = 4*p**2 - 2*p. What is the remainder when n(-3) is divided by l?
9
Suppose -3*f - 3*u = -63, -4*u - 42 = -2*f - 0*u. What is the remainder when 82 is divided by f?
19
Suppose 5*d + 42 = -4*p + 191, 0 = 4*p - d - 119. What is the remainder when p is divided by 2 + (-32)/14 - (-228)/14?
15
Let f = 37 - 33. What is the remainder when 5 is divided by f?
1
Let y = 52 + -37. Let n = 8 + 51. What is the remainder when n is divided by y?
14
Calculate the remainder when 31 is divided by (-147)/(-18) + 1/(-6).
7
Let l be (2 + -3)/(2/12). Let a be ((-10)/l)/((-4)/(-12)). Suppose -9 = -4*h + a*u + 34, 0 = 5*h - 3*u - 44. Calculate the remainder when h is divided by 3.
1
Suppose -4*p = -16, -6*y + p + 88 = -2*y. Calculate the remainder when y is divided by 16/(-9) - -2 - (-460)/36.
10
Let c = -5 - -21. What is the remainder when 61 is divided by c?
13
Suppose 87*k = 85*k + 46. Suppose v = 4 + 4. Calculate the remainder when k is divided by v.
7
Suppose -16 - 4 = -l. Suppose d + 4*d + l = 0. Calculate the remainder when 9/(2 + 2/d) is divided by 4.
2
Let g = -3 - -8. Suppose 3*t + 2*d - 4 - 10 = 0, -g*t = 3*d - 22. Calculate the remainder when 6 is divided by t.
0
Let w be (-29)/2 + (-1)/2. Let x = -2 - w. Calculate the remainder when x is divided by (28/8)/((-3)/(-6)).
6
Calculate the remainder when 4 is divided by 135/60*8/6.
1
Let i be 1/3 - (-6)/(-18). Let c(j) = j**3 - 8*j**2 + 8*j - 3. Let y be c(7). Suppose i = 2*a - y*a + 18. What is the remainder when a is divided by 6?
3
Let m = 67 + -56. What is the remainder when 43 is divided by m?
10
Let d(o) = 2*o**2 + 3*o**2 - 2*o - 2*o**2 + 1 + 4*o**3 - 4*o**2. Let r = -16 + 29. Calculate the remainder when d(2) is divided by r.
12
Let b = 118 - 115. What is the remainder when 25 is divided by b?
1
Let g = 6 - -8. Calculate the remainder when 68 is divided by g.
12
Let z(o) = o**3 - 4*o**2 - 4*o. Let h be z(4). Let k = h + 31. Calculate the remainder when 29 is divided by k.
14
Suppose 20 = 4*c - 9*c. Let z(t) = -5*t - 5. Let s be z(c). Let i = 25 - s. What is the remainder when 18 is divided by i?
8
Let m(g) = -g**2 + 6*g + 5. What is the remainder when m(4) is divided by 4?
1
Suppose -5*u = -5*m, 4*u + m - 4 = 3*u. Suppose u*p - 4 = 2. Calculate the remainder when 10 is divided by p.
1
Let t be 4/(-16) - (-25)/4. Calculate the remainder when (-2)/t + 576/27 is divided by 8.
5
Let z(t) = t**3 - 12*t**2 - t + 16. Suppose -5*d = -19 - 1. Suppose 2*l - d*l + 12 = 0. What is the remainder when l is divided by z(12)?
2
Suppose 5*i - h = -0*h + 140, 4*h = 5*i - 140. Let n = -81 - -135. Calculate the remainder when n is divided by i.
26
Let p(s) = s**2 + 3*s - 7. Let f be p(-9). Suppose f = 3*m + 5. Let o(d) = d**3 + 5*d**2 - 6*d - 4. What is the remainder when o(-5) is divided by m?
12
Let x(n) = -n**3 + 5*n**2 - 4*n + 4. What is the remainder when 6/4 + -2 + (-111)/(-6) is divided by x(3)?
8
Let v = 23 + -9. Let u = 5 + v. What is the remainder when (-1)/(-2)*2*55 is divided by u?
17
Let p = 2 + 11. Let y(o) = 6*o - 35. What is the remainder when y(14) is divided by p?
10
Let w(s) = s**2 + s + 27. Let a be (-1 + 1)*4/8. What is the remainder when w(a) is divided by 10?
7
Let n(t) = 8*t. Calculate the remainder when 46 is divided by n(3).
22
Suppose -5*c - 27 = q - 4*q, -c + 17 = q. What is the remainder when 17 is divided by q?
3
What is the remainder when 1*2*45/10 is divided by 3?
0
Suppose -3*s - 27 = -4*h, 4*h - 29 = 4*s + h. Let w = 0 - s. What is the remainder when 13 is divided by w?
3
Let w = 20 + -1. Let h = w - 12. Calculate the remainder when 25 is divided by h.
4
Let c = -18 - -19. What is the remainder when 89 is divided by 5 + -6 + 24*c?
20
Let l = 122 - 26. What is the remainder when l is divided by 49?
47
Suppose 3*t = -0*t + 390. What is the remainder when t is divided by 33?
31
Let u(q) = 4*q - 1. Suppose 2*g - 2 = -0*g. Let w(p) = 31*p**3 + p - 1. Calculate the remainder when w(g) is divided by u(3).
9
Let l = 24 + 18. Suppose 2*m = -j + 15, 3*j - m = -j + 33. Calculate the remainder when j is divided by l/9 - 1/(-3).
4
Suppose 0 = -b - 0*b. Let s be (b/(3 - 2))/1. Suppose x + 4*j - 35 = s, -4*x - 4*j - 53 + 169 = 0. Calculate the remainder when x is divided by 14.
13
Suppose -3 = -g + 30. What is the remainder when 98 is divided by g?
32
What is the remainder when 2 - (-27 + 4 - -3) is divided by 5?
2
Suppose -3*s + 2*s + 35 = 0. Calculate the remainder when s is divided by 19.
16
Suppose 5*m = -0*m. Let j = 6 - -1. What is the remainder when j is divided by 1*(m - -5 - 2)?
1
Suppose 77 = 2*d + 3*h, 0 = -8*d + 3*d - h + 160. Let c(s) = -2*s. Let v be c(-2). Let n = v + 12. What is the remainder when d is divided by n?
15
Let n = 30 - 6. Calculate the remainder when n is divided by -18*(3/(-6))/1.
6
Calculate the remainder when 4 + (69 + -2 - -1) is divided by 25.
22
Suppose -j = 5*o - 17, 5*j - 52 = 3*j - o. What is the remainder when 79 is divided by j?
25
Let u = -2 - -2. Suppose 96 = 2*z - u*z. What is the remainder when z is divided by 17?
14
Let r(g) = -3*g**2 + 18*g + 12. Calculate the remainder when 77 is divided by r(6).
5
Calculate the remainder when 47*1/1 + 1 is divided by 17.
14
Let j = -65 - -43. Let v = j + 1. Calculate the remainder when (2 - 2 - v) + 3 is divided by 13.
11
Let f be (-2 + -7)*(-6)/9. Let s = f - 4. Let x = s + 10. Calculate the remainder when 22 | {
"pile_set_name": "DM Mathematics"
} |
ors of ((-6)/(-4) + -1)*m?
37
Let d = -13 + 25. Let c(k) = 26*k - 87. What are the prime factors of c(d)?
3, 5
Let o(m) be the first derivative of 2*m**3/3 + 3*m**2 - 8*m - 14. What are the prime factors of o(-8)?
2, 3
Suppose -10*r + 8750 = -7*r - 5*q, -2*q = -10. What are the prime factors of r?
3, 5, 13
Suppose 4*g + 6*k - 1787 = 3*k, 0 = -2*g - 3*k + 901. List the prime factors of g.
443
Let t(f) = f**2 - 20*f - 4. Let g(u) = u**2 - 20*u - 5. Let a(b) = 4*g(b) - 5*t(b). What are the prime factors of a(8)?
2, 3
Let h = -456 - -542. List the prime factors of h.
2, 43
Let m be 3 + 8/(-6)*6. Let b(n) = n**3 + 9*n**2 + 9*n. List the prime factors of b(m).
5, 11
Let h(c) = -c - 25. Let b(w) = -3*w - 49. Let r(o) = 2*b(o) - 5*h(o). What are the prime factors of r(13)?
2, 7
Let u(p) = p**2 + 14*p + 82. What are the prime factors of u(-32)?
2, 7, 47
Let y = 17 - 11. Suppose y*n + 564 = 10*n. Suppose n = 6*r - 51. What are the prime factors of r?
2
Suppose 0 = 8*a - 5500 - 11516. List the prime factors of a.
3, 709
Let i(r) = -53*r + 318. Let u be i(6). Let x(z) = -2*z + 5*z**2 + 6 - 3*z**2 - 3*z**2. List the prime factors of x(u).
2, 3
Let o = 4003 + -656. What are the prime factors of o?
3347
Let h(q) = q**3 + 10*q**2 - 7. Let i be h(-10). Let x = i - -17. What are the prime factors of x?
2, 5
Suppose 0 = -g - g + 52. Suppose -5*i = g + 49. List the prime factors of -3 + (0 - i) - -2.
2, 7
Suppose 0 = 9*v - 6889 - 1103. List the prime factors of v.
2, 3, 37
Suppose -2*n - 6*n = 0. Let s = 5 + -2. Suppose n = -2*t + 4, 2*c + s*t - 6*t - 2 = 0. List the prime factors of c.
2
Let h(j) = 3*j**2 - 35*j + 230. What are the prime factors of h(-31)?
2, 2099
Let n = 25 + -17. Suppose 0 = -n*i + 3*i + 840. What are the prime factors of i?
2, 3, 7
Let k(w) = w**3 + 17*w**2 + 11*w - 11. Let l be k(-16). Let d = 80 - l. What are the prime factors of d?
11
Suppose -3*b + 4256 = 13*b. List the prime factors of b.
2, 7, 19
Let y(v) = 81*v**3 - 2*v**2 - 5*v. List the prime factors of y(3).
2, 3, 359
Suppose -4*p + 2*x + 34 = 0, 4*x = -3*p - 2 - 0. Suppose p*r - 10*r = -312. What are the prime factors of r?
2, 3, 13
Suppose 254 = -3*g - 52. Let o = g + 134. What are the prime factors of o?
2
Let h be (-5)/5 + 4 + -13. Let q(b) = b**3 + 10*b**2 - 5*b + 5. What are the prime factors of q(h)?
5, 11
List the prime factors of (4/(-14))/((-1)/(-6524)*-4).
2, 233
Let p(k) be the third derivative of 13*k**5/30 + k**3/3 + 8*k**2. What are the prime factors of p(2)?
2, 53
Let f(u) be the third derivative of -u**6/30 + u**5/30 - u**3/6 + u**2. Let l be f(1). Let x(j) = -6*j + 2. List the prime factors of x(l).
2, 5
Suppose 0 = -3*f + 2*r + 1684, r + r = f - 556. What are the prime factors of f?
2, 3, 47
Suppose 6*g = g + 6450. List the prime factors of (-6)/10*8/((-48)/g).
3, 43
Let b(y) = -33*y**3 - 3*y**2 + 4*y + 19. What are the prime factors of b(-3)?
13, 67
Suppose 0 = 2*g + g - 219. Let v = 12 + g. List the prime factors of v.
5, 17
Let g(w) = 6*w**3 - 9*w**2 + 11*w + 1. List the prime factors of g(5).
7, 83
List the prime factors of (-45)/(-225) - 839/(-5).
2, 3, 7
Let d = -565 - -883. List the prime factors of d.
2, 3, 53
Let k(g) = 2*g**3 - 2*g + 2. Let r be k(-2). Let c be 6/r - 65/(-25). Let s = c + 14. What are the prime factors of s?
2
Suppose -8128 = -5*i + 3*v, 61*i - 59*i - 3249 = -v. What are the prime factors of i?
5, 13
Let d(y) = 77*y + 26. List the prime factors of d(4).
2, 167
Suppose 0*a + 2*a - 72 = 0. Let p = -6 + 6. Suppose p = 5*v - v - a. What are the prime factors of v?
3
Let k be 1/1*-15*(-6)/18. List the prime factors of (-5)/(1/34*(k - 7)).
5, 17
List the prime factors of (-680)/(-2) + 8/(-2).
2, 3, 7
Let o = -31 - -23. Let z(s) = s**3 + 11*s**2 + 8*s + 3. Let u be z(o). Suppose 5*v = -3*q + u, -2*v - 145 = -7*q + 4*q. What are the prime factors of q?
47
Suppose 0 = -2*s + 7*s + 255. Suppose -b + 4 = 4*c, 2*b + 3*c - 37 = -3*b. List the prime factors of (s + -1)/(b + -9).
2, 13
Suppose 0 = -8*u + 2433 + 1359. List the prime factors of u.
2, 3, 79
Suppose 4*j = 8*j + 16. Let l be (-204)/(-54) - j/18. Suppose -280 = -l*g - g. List the prime factors of g.
2, 7
Suppose 0 = 6*n - 9*n + 138. Suppose 2*x + 6*g = g + 93, -x = 2*g - n. What are the prime factors of x?
2, 11
Suppose -d + 140 = -3*k - 33, 3*d - 4*k = 524. Suppose -4*i - d = 4*m, 5*m + 66 = -3*i - 62. Let s = -26 - i. What are the prime factors of s?
2, 5
Let x(u) = -u**3 - 7*u**2 + 12*u - 9. What are the prime factors of x(-12)?
3, 7
Suppose -7*f - 3 = -31. Suppose f*n + 3*n = 616. List the prime factors of n.
2, 11
Suppose 0 = -20*o + 24*o + 24. List the prime factors of (104 - 18/o)*2.
2, 107
Let u = -8 - 0. Let m(c) = -4*c - 7. Let g be m(u). Suppose -5 = -3*v + g. What are the prime factors of v?
2, 5
Let i = 9 - 7. Suppose i*j - 3*l + 4 = 4*j, 5*l - 2 = -j. Suppose 3*u = j*u + 23. List the prime factors of u.
23
Let z(r) = r - 22. Let y be z(18). List the prime factors of (-1 - y) + 186 + 8.
197
Let r be (6/12)/(1/4). Suppose -r*t + 127 = 3*z, -2*t - 23 = -2*z - 135. What are the prime factors of t?
59
Let d = 992 - 427. List the prime factors of d.
5, 113
Suppose 3*i - 4*i - 11 = -5*s, -15 = -5*s. Suppose 0 = 2*t - 3*x - 2*x - 19, -4*t - i = 4*x. List the prime factors of (1 + -22)/(t - 3).
3, 7
Let c(t) = 32*t**2 - 6*t - 20. What are the prime factors of c(5)?
2, 3, 5
Let u(s) = 3*s**3 - 3*s**2 - 2*s - 7. List the prime factors of u(4).
3, 43
Let y be (4 + 4/(-1))/(-2). Let r be 2/(-1) - (-2 + 25). Let u = y - r. What are the prime factors of u?
5
Suppose -1446 - 1161 = -2*d + t, -4*d + 5*t = -5211. List the prime factors of d.
2, 163
Let b(f) = 4*f - 24. Let l be b(7). What are the prime factors of -3 + l + 2 - 1/(-1)?
2
Suppose 5*x = 3*t + 5876, 0 = 54*x - 56*x - 5*t + 2369. What are the prime factors of x?
11, 107
Let o(l) = -l**2 + 25. Let k be 0 - -12*8/12. Let f be ((-2)/k*0)/2. List the prime factors of o(f).
5
Let b be (16/10)/(4/(-60)). Let o be (-17)/(-4) + b/(-32). Suppose o*t - 380 = 4*y - 0*y, 149 = 2*t - y. What are the prime factors of t?
2, 3
Suppose -2*h + 4 = 8, z - 2079 = -4*h. What are the prime factors of z?
2087
Let m(g) = g**3 + 1. Let z(o) = 5*o**3 + 3*o**2 - 3*o + 8. Let k(c) = -4*m(c) + z(c). Let j be k(-4). Suppose -6*u + 2*u + 8 = j. List the prime factors of u.
2
Suppose x + 3*z + 510 = 2*x, -2*z - 1028 = -2*x. What are the prime factors of x?
2, 3, 43
Let h be (-8)/4*1 + 78. Suppose v - h = -v. What are the prime factors of v?
2, 19
Let s = 7 - 6. Let b = 9 - s. Suppose -3*v + b*v - 150 = 0. List the prime factors of v.
2, 3, 5
Let b be -6*(9 + -6 + -2). Let x = -47 + 11. List the prime factors of b/(-4) - x/8.
2, 3
Let b be -35 + -3*(-10)/(-15). Let g = 90 + b. What are the prime factors of g?
53
Let a(v) = -143*v - 126. List the prime factors of a(-16).
2, 23, 47
Let x = 108 - 8. Suppose 265 = 3*p + x. What are the prime factors of p?
5, 11
Suppose p - 3*p = -2. Let r be (-2 - 6/3) + p. What are the prime factors of (4 - 1)*(-28)/r?
2, 7
Let z = -454 - -230. Let c = -35 - z. List the prime factors of c.
3, 7
Let l(s) = 98*s - 133. What are the prime factors of l(26)?
3, 5, 7, 23
List the prime factors of (-16)/(-120) + (0 - (-67196)/30).
2, 5, 7
Let x = 32 - 27. Suppose a - 3 = 2*a. Let o = x + a. What are the prime factors of o?
2
Let z be 3 + 115/(1/1). Let a = z + 19. List the prime factors of a.
137
Let f(c) = -584*c + 19. List the prime factors of f(-1).
3, 67
Let m be (-36)/30*(-15)/(-2). What are the prime factors of (-2441)/m - 14/63?
271
Let f(i) = i**3 - i**2 - 2*i - 22. What are the prime factors of f(7)?
2, 3, 43
Suppose -78 + 1125 = i. List the prime factors of i.
3, 349
Let f(m) = -m**2 - 6*m - 3. Let o be f(-6). List the prime factors of (-447)/(-9) + 2/o.
7
Let c be 18/(-4) + (-12)/8. Let i = c + 12. List the prime factors of i.
2, 3
Let r = -4 + 4. Suppose r = k - 4*y - 26 - 29, -2*y + 73 = k. What are the prime factors of k?
67
Let w(z) = -8*z**2 - 18*z - 15. Let m(f) = -f**2 - f - 1. Let s(u) = -18*m(u) + 2*w(u). Let a be s(15). Suppose -4*o = -7*o + a. List the prime factors of o.
2, 7
Let f(i) = 33*i. Let y be f(1). Let n = -107 - -111. Suppose -85 + y = -n*h. What are the prime factors of h?
13
Let z = -5 + 7. Suppose -5*q | {
"pile_set_name": "DM Mathematics"
} |
u = -a + 16. Suppose -3*k - u = 5. Calculate t(k).
7
Let x(r) = r**2 + 7*r + 7. Let m = 81 + -87. Give x(m).
1
Let a(v) = 3*v + 2*v + 0*v + 4*v. Determine a(-1).
-9
Let z(c) = c**3 + 3*c**2 + 2*c + 3. Let l(q) = -4*q**2 - q. Suppose 0 = 4*m - 3*t - 8, 2*m = -2*m - 2*t - 12. Let h be l(m). Give z(h).
-3
Let n be -5*4*3/(-30). Let l(x) = -x - x**3 - 4*x**2 + 0*x**n - 3 - 3*x. Calculate l(-3).
0
Let g(h) = h**2 + h + 4. Let k be g(0). Let i(x) = -2*x**3 + 5*x**2 + 3*x - 3. Let p(m) = 3*m**3 - 4*m**2 - 2*m + 2. Let s(r) = k*p(r) + 3*i(r). What is s(1)?
5
Let r(s) = 5 - 5 - 2*s - 6 + 4. Let u = -2 + 0. Give r(u).
2
Suppose w = -2*t + 3 - 9, 3*t + 18 = -3*w. Let k(l) = -l**3 - 7*l**2 - 5*l + 8. Calculate k(w).
2
Let u(o) = -o**3 + 2*o**2 - o + 1. Let a be u(2). Let t(z) = -4*z**3 - z**2 - z. Determine t(a).
4
Let l(r) = r**2 - 15*r + 12. Let q be l(14). Let f(j) = j**3 - 1. What is f(q)?
-9
Let a(b) = b**2 - 6*b + 7. Let m(k) be the third derivative of k**6/120 - k**5/15 - k**4/6 - k**2. Let h be m(5). Calculate a(h).
2
Let l be 38/(-6) + 1/3. Let r(h) be the third derivative of h**5/60 + h**4/4 + h**3 + 58*h**2. Give r(l).
6
Let d(t) be the second derivative of -1/6*t**3 - 2*t - t**2 + 0. Let h = -4 - -2. Calculate d(h).
0
Let h be (-4)/(-18) + (-32)/(-18). Suppose 2*v - 4 = h*p + p, -4*p + 8 = 0. Let d = v - 0. Let k(q) = q + 7. Determine k(d).
12
Let t(i) be the second derivative of -1/6*i**4 + 6*i + 0 - 1/2*i**2 + 2/3*i**3. Determine t(3).
-7
Let q = -16 - -26. Let g be 6/5*(-50)/3. Let l be 88/g + 4/q. Let x(s) = -2*s - 6. Determine x(l).
2
Let f(u) be the first derivative of u**4/4 - 2*u**3 + 2*u**2 - 3. Calculate f(5).
-5
Let h(t) = -t**2 - t - 1. Let v(j) = 3*j**2 + 2*j + 2. Let g(l) = 5*h(l) + 3*v(l). Determine g(-1).
4
Let o(h) = h - 3. Let l(m) = m - 3. Let u(k) = 6*l(k) - 5*o(k). Let v = 3 - 1. Suppose 0*g = g - v. Give u(g).
-1
Suppose -3*t + 2*t = 0. Let q(a) = a**2 - a - 4. What is q(t)?
-4
Let r be (-6)/(3 + 0) - -2. Let w(a) = r - 5 - 2*a + 2*a + a. Let s be w(6). Let v(b) = 2*b. Determine v(s).
2
Let b(d) = d**3 + 9*d**2 + 7*d - 4. Let h be b(-8). Let s = h + -2. Suppose s*c - 7*c = 5. Let a(t) = 4*t + 1. Give a(c).
-3
Let y(w) be the second derivative of w**8/6720 - w**7/420 + w**6/180 - w**5/30 - w**4/4 + 2*w. Let b(d) be the third derivative of y(d). Determine b(5).
-9
Let x(i) be the first derivative of 6*i - 2*i**2 - 3 - 1/4*i**4 - 2*i**3. Suppose 0 = h - 0*h + 5. Calculate x(h).
1
Let t(n) = -4*n. Let g(r) = r**3 - 7*r**2 + 8*r - 11. Let f be g(6). Calculate t(f).
-4
Let k(n) = n**3 - 4*n**2 - 7*n + 5. Let x(s) = 2*s**2 + s - 1. Suppose -z + i - 2 = -i, -4 = 2*z + 5*i. Let m be x(z). Calculate k(m).
-5
Let j be ((-8)/10)/((-10)/25). Let s(a) = a + 0 - 4 + j. What is s(5)?
3
Let v(l) = -l + 7. Let p(i) = 3*i - 15. Let b(h) = 6*p(h) + 13*v(h). What is b(1)?
6
Let u be (-3)/7 + (-20)/35. Let y(j) = 14*j + 1. Calculate y(u).
-13
Let v be -4 + 12 + 16/(-4). Let z(n) = -10 + 5*n**2 - 2*n + n**3 - 2*n - v*n + 6. Give z(-6).
8
Let c(i) be the first derivative of -8*i**3/3 - i**2/2 - i - 2. Suppose 2*q - 3*z = -3*q - 20, -q + 2*z - 11 = 0. Give c(q).
-8
Let q(w) = -7*w - 1. Let l(z) = 11*z + 2. Let n(g) = -5*l(g) - 8*q(g). Give n(1).
-1
Suppose 3*b + 5*c - 1 = 0, 0*c + c = 5*b - 11. Let k(f) = f - 1. Calculate k(b).
1
Let r(s) = -s**3 - 6*s**2 + 9*s + 3. Suppose 5*f + t = 2*t - 33, 4*f - 5*t = -18. What is r(f)?
-11
Let p(l) = l**3 + 4*l**2 - 2*l + 3. Let b be p(-4). Suppose 3*y - b = -4*t, 3*y - 5*t = 4*y. Let j(f) = y*f + f**2 + 1 - f - 3. Determine j(-5).
3
Suppose -11*o + 70 = 3*o. Let b(w) = -w - 2. Calculate b(o).
-7
Let i(x) be the second derivative of 4*x + 1/12*x**4 + 1/2*x**2 - x**3 + 0. Give i(6).
1
Let t(v) = 38*v - 39*v + 5 - 1. Determine t(7).
-3
Suppose -3 = -3*c - 0. Let n(q) = 5*q + 1. What is n(c)?
6
Let g = -10 - -6. Let r(y) = -7*y**3 - 10*y**2 + 9*y - 2. Let w(d) = 2*d + 8*d - 3 - 19*d**2 - 13*d**3 + 7*d. Let z(i) = -11*r(i) + 6*w(i). Give z(g).
-8
Let j(a) = a**3 + 9*a**2 - 10*a + 3. Let q be j(-10). Let s(w) = 1 + w - 1 - 3*w. Give s(q).
-6
Let m(n) = n**3 - 10*n**2 + 7*n + 12. Let c be m(9). Let y(t) = t - 1. Determine y(c).
-7
Let v(s) = -3*s + 3. Let w(u) = 2 - 2 - 2 + 3*u. Let z(q) = 4*v(q) + 5*w(q). Let m be (-9)/(-36) + (-18)/8 - 0. Determine z(m).
-4
Let z(x) = 10*x + 10*x + 6*x - 22*x + x**2 + 2. What is z(-6)?
14
Let t be -1 + 0 + (-1 - -6). Suppose 0 = 4*q - 4 - t. Let r(f) = -4 + q + 6*f - 3*f - f. What is r(2)?
2
Suppose 3*c + 6 = 0, 2*c = -4*d - 37 + 9. Let h(a) = -a**2 - 8*a + 4. Calculate h(d).
16
Let r(o) = -2*o**2 - 17*o - 17. Let x(n) = n**2 + 9*n + 9. Let b(y) = 3*r(y) + 5*x(y). Suppose -5*w - 36 = 3*g, 4*w - 4*g - 3 = -19. Determine b(w).
-6
Let c(k) = k**3 - 3*k**2 - 5*k + 4. Let z be c(4). Let l(i) = i + 1 - 3*i + i**2 + 3*i**3 + z*i. Give l(1).
3
Let s(t) = 61*t + 8*t**2 - 2 + t**3 - 55*t - 6. Calculate s(-7).
-1
Let q(t) = t - 3. Suppose -3*m - 28 = 2. Let o be (0 - 0)*(-5)/m. Suppose -4*a + a = o. Determine q(a).
-3
Let l(b) = 90*b + 1 + 5*b**3 - 88*b + 3*b**3 + b**2. Determine l(-1).
-8
Let w(q) be the second derivative of -q**5/60 - q**4/3 - 3*q**3/2 - 2*q**2 + q. Let g(a) be the first derivative of w(a). Give g(-6).
3
Let j = 44 - 41. Let i(m) = 2*m**2 - 2*m - 2. Determine i(j).
10
Suppose -3*u - 14 = z + 7, z + 2*u = -16. Let l(b) = -3*b - 9. Calculate l(z).
9
Suppose -4*s - 4*y + 28 = 0, 0 = -0*y - 2*y + 10. Let d(k) be the third derivative of -k**6/120 + k**5/20 - k**4/24 - k**3/6 + 8*k**2. Calculate d(s).
1
Let z(l) = -l**2 - l + 1. Suppose 3*n - 2*n = -2. Let w(q) = q**2 + 8*q - 2. Let a(c) = n*z(c) - w(c). Determine a(5).
-5
Let h(a) = a**3 - 6*a**2 + 3*a + 5. Let u be 6*4/(-8) - 11. Let i(l) = l**2 + 13*l - 9. Let k be i(u). Give h(k).
-5
Let s(y) = -5. Let f(h) = h. Let u(p) = -2*f(p) + s(p). Suppose -26*z = -71*z - 180. Determine u(z).
3
Let z(a) be the first derivative of a**4/12 - a**3/6 + a**2 - a - 4. Let u(d) be the first derivative of z(d). What is u(2)?
4
Let b(u) be the third derivative of u**5/60 - 5*u**4/24 - 4*u**3/3 - 3*u**2. Give b(7).
6
Let q(j) be the third derivative of j**5/60 - j**4/4 + 5*j**3/6 - 65*j**2. What is q(4)?
-3
Let f(k) be the first derivative of -k**4/4 + 5*k**3/3 - k**2/2 + 3*k - 1. Let g = 1 - -4. Calculate f(g).
-2
Let z(x) = 2*x - 7. Suppose -3*v = -10 - 5. What is z(v)?
3
Suppose 0 = 5*d - 15, -w + 6 = -5*w - 2*d. Let i(t) = 3*t**2 - t - 6*t**2 - 1 + 4*t**2. What is i(w)?
11
Suppose 14 = 3*k + 4*c, 3*k = -c - 0*c + 17. Suppose -4*d = -k - 2. Let t(y) = 3*y**2 - 3*y. What is t(d)?
6
Let w(a) = -a - 9. Suppose -o + 2*o - v = -1, -5*o - 2*v + 2 = 0. Determine w(o).
-9
Let a be (0/(-3))/(0 - 2). Let q be (0/(-1))/(a - 3). Let t(v) = v**2 + v + 4. Determine t(q).
4
Suppose 0 = -5*b + 5*m + 2 + 13, -2*m + 6 = 0. Let r(x) = -x**3 + 5*x**2 + 5*x + 4. Let g be r(b). Let s be (g/4)/((-2)/4). Let n(p) = p. Give n(s).
1
Let r(n) = n - 1. Let x(p) = 3. Let c(y) = -r(y) - x(y). Determine c(-6).
4
Let j(w) = 98*w - 3*w**2 - 100*w - 1 - 2 + 0. Calculate j(-2).
-11
Let s = 1 + -10. Let m(p) = -19*p + 2. Let l(c) = 9*c - 1. Let a(x) = s*l(x) - 4*m(x). What is a(-2)?
11
Let h = 0 - 6. Let g(c) be the second derivative of -c**4/12 - 2*c**3/3 + 5*c**2/2 + 108*c. What is g(h)?
-7
Let q(b) be the third derivative of -b**4/24 + 5*b**3/3 + 2*b**2. Let d be q(7). Let n(m) = 2*m - 2. What is n(d)?
4
Suppose -w - 4 = w. Let d(p) = p - 2. Give d(w).
-4
Let d(t) = t - 2. Suppose 12 = 5*o - 8. Let j = o + -3. Determine d(j).
-1
Let u(n) = -n**2 - 6*n - 4. Suppose d + 0*d = -1, 4*s + 4*d = 0. Let b be (4 - s - 2) + 1. Suppose -b*j = 1 + 9. Calculate u(j).
1
Let x = -50 - -44. Let r(k) = -k + 3. What is r(x)?
9
Let i(l) = 6*l**3 + l**2 - 4*l + 2. Let p(w) = w**3 + w**2 - w. Let r(d) = i(d) - 5*p(d). Let n = 12 - 7. Let y = 9 - n. What is r(y)?
6
Let t(z) be the first derivative of z**2/2 - z + 1. Let k be t(7). Let f(y) = -y - 4. Let a(p) = 2*p + 9. Let j(h) = k*a(h) + 13*f(h). Give j(2).
0
Let x = 58 + -61. Let h(r) = r**2 + 3*r - 2. Calculate h(x).
-2
Let h(c) = -c**3 - 7*c**2 + 6. Let f(j) = -j**3 - 5*j**2 - j - 12. Let l be f(-5). Calculate h(l).
6
Let c(b) = -b**3 - b + 1. Let f(n) = 7*n**3 + 2*n**2 + 6*n - 5. Let g(u) = 6*c(u) + f(u). Calculate g(-3).
-8
Let v(c | {
"pile_set_name": "DM Mathematics"
} |
Let n be c(3). Solve 5*z - n = 4 for z.
1
Suppose 17 = z + 24. Let r(w) = w + 7. Let q be r(z). Solve -3*k - k + 16 = q for k.
4
Let n = 89 - 89. Suppose n*b = -b + 2. Solve b*v = 3*v - 2 for v.
2
Let n be (1/2)/(2/(-156) - 0). Let h = n + 48. Solve -h*v + 13*v = 0 for v.
0
Let k = 12 + -6. Let z = 5 + -9. Let d = z + k. Solve 2*y = -d*y for y.
0
Suppose -5*q = -25, 4*i - i - q = -5. Solve -5*x + 5 = -i*x for x.
1
Suppose -4*l - 5 = -5*l. Let w(i) = -5*i**2 - 59*i**3 + 31*i**3 - 2*i + 29*i**3 + 10. Let z be w(l). Solve z = 4*d + 2 - 14 for d.
3
Let b = -175 + 326. Let n = b + -145. Suppose 0 = -5*s + 2*i + 9, -2*s + 3*i + 9 = 1. Solve n = -5*f + s for f.
-1
Suppose -89*g = -471 - 419. Let b(s) = -10*s**3 - 2*s**2 - s. Let o be b(-1). Let f = o - 6. Solve g = -f*h + 4 for h.
-2
Let v be (-1)/(-3*(-4)/12). Let u(r) = -5*r**3 + 2*r**2 + r. Let s be u(v). Suppose -s*b = -5*b + 4*x - 28, -b = -x - 3. Solve 4*l + b = -0*l for l.
-2
Let q(s) = -3*s**3 + 6*s**2 - 3*s + 6. Let t(y) = 2*y**3 - 6*y**2 + 4*y - 5. Let c(w) = -3*q(w) - 4*t(w). Let m be c(-7). Solve a - m = -3 for a.
-1
Let v be 4/10 - (17/5 + -4). Let q be (-5)/3 + (-2)/6. Let p be ((-8)/(q - 2))/v. Solve -p*d + 1 = -d for d.
1
Suppose -2*d = 3*h + 61, 0 = -4*h + 2*h + 2*d - 54. Let n = h - -33. Suppose 6*a + n = 11*a. Solve -10 = -3*z - a*z for z.
2
Let q(u) = -u**3 + 4*u**2 - 2*u + 11. Let m be q(4). Suppose w - 2*w = -m*v + 4, -2*v + 4 = 0. Solve 3 = w*j + 1 for j.
1
Let r = 826 + -821. Let o be (-1)/(2*(-3)/12). Solve -o*s - 9 = -r*s for s.
3
Suppose -7*r - 10*r = -11*r. Solve r = -10*m + 5*m - 20 for m.
-4
Suppose 5*g + 10 = 0, -h - 4*h = 5*g - 40. Suppose 11*r - h = 6*r. Solve -r*t - 3*t = 10 for t.
-2
Suppose 4*c = 5*c + 3. Let f = 0 - 2. Let x be (c - -3) + f + 2. Solve x = -5*u - 0*u - 10 for u.
-2
Suppose s - 1 = -0*s. Suppose -2*g + 3*c + 4 = c, -4*c = -g - s. Solve i + 4 = g*i for i.
2
Let l = 2152 - 2116. Solve -33*i + l = -24*i for i.
4
Let y be (8/(-6))/((-2)/6). Suppose -s = -5*s + 32. Let w = s - y. Solve 4*i - w + 20 = 0 for i.
-4
Let l(i) = -11*i + 102. Let k be l(8). Solve d + 13 = k*d for d.
1
Let n be -104*((-165)/(-22))/(-15). Solve 23*w - 10*w - n = 0 for w.
4
Let n(r) = -5*r**2 + 12*r**2 - 2*r**2 - 2 - 2*r**2 - 4*r. Let b be n(2). Solve b*p - 4 + 0 = 0 for p.
2
Let i be 277 - (4 - 1)/(-1). Let k be (-3)/2*i/(-42). Solve 6*g = g + k for g.
2
Let c be ((-120)/330)/(3/(-33)). Solve -c*i - 20 = i for i.
-4
Suppose 0 = -4*c - 2*i + 18, -c + 3*i + 0*i - 13 = 0. Let g be (2 + 1)*5/5. Suppose 37 - 7 = g*r. Solve -r = c*b - 0*b for b.
-5
Let x be (2 - 4)/((-2)/(-3)). Let g be 1/(((-1)/4)/(x + 2)). Solve -10 = s + g*s for s.
-2
Suppose 0 = -2*u - 0*u. Let l(q) = -4*q**2 - 9*q + 15. Let f(c) = -3*c**2 - 10*c + 17. Let g(a) = 5*f(a) - 4*l(a). Let z be g(13). Solve -3*b - z = -u*b for b.
-4
Let w be 0/1 + -1 + 4. Suppose -160 = -4*z - 144. Solve f - w = -z for f.
-1
Let x(f) = f**3 - 7*f**2 - 7*f - 2. Let l be 5/3*(-156)/(-130). Suppose 4*d - t - 28 = 0, -l*t - 16 = d - 4*d. Let b be x(d). Solve 6 = 3*s - b for s.
4
Let p(o) = -4*o - 4 + 6*o - 7*o + o**2. Let b be p(6). Solve -y = b + 2 for y.
-4
Let j(d) = d**2 - 17*d + 4. Let w be j(0). Solve 0*i = -w*i for i.
0
Let a(t) = -t**3 - 14*t**2 + 6. Let c be a(-14). Solve -2*m - c*m + 24 = 0 for m.
3
Let o(d) = 48*d - 133. Let k be o(3). Solve -45 = 17*t - k for t.
-2
Let l = 9 + -7. Solve 0 = -l*o - 0 + 6 for o.
3
Suppose 7*b = -3*u + 2*b - 12, 5*u + 20 = b. Let s(o) = 4*o**2 + 14*o - 5. Let q be s(u). Solve 2*t + q = -5 for t.
-4
Suppose 1 = 2*o - 0*i + 3*i, -4*o + 3 = 5*i. Suppose 1506*c = 1509*c. Let u be (-4)/(-2) - (0 - -1). Solve c = -o*j - u - 1 for j.
-1
Let q(k) = -7*k + 1. Let z be q(-11). Let i = -71 + z. Solve -20 = -i*y + 3*y for y.
5
Suppose 0 = 5*p + 3*d, p + 0*d = 2*d. Let a = p - 2. Let v be (-1)/a*4 - 1. Solve v = l - 2 for l.
3
Suppose -5*c + 64 = -2*y, 5*y + 114 = -3*c - 108. Let w = y - -47. Solve -19 = w*j - 4 for j.
-3
Let q be (-36)/(-90) - (1 + 96/(-10)). Solve q*f - 14 = 2*f for f.
2
Suppose -3*y - 2*y = 5*p + 100, 0 = -3*y + 4*p - 88. Let i be -40*(-4)/y*-3. Let m = i + -9. Solve 0 = -4*j - m - 9 for j.
-5
Let r = -1296 + 1317. Solve 6*x - 3 = -r for x.
-3
Suppose -7*r + 4*r + 141 = 0. Let q be 5/((-45)/2) + r/9. Solve 0 = 7*v - 8*v - q for v.
-5
Suppose 4*d + 6*l - l - 13 = 0, -3*d + 3*l = -30. Suppose d*y = 2 + 12. Suppose y*h - 3 = 1. Solve -k = -h*k for k.
0
Let o be (6/4)/(6/52). Solve -o*q = q for q.
0
Let t be (-3 - (-2 - 1)) + 4/2. Let h be (3 - 0)/((-6)/(-4)) + t. Solve 10 = -h*a + 6 for a.
-1
Let l = 133 - 133. Solve l = -v + 1 - 2 for v.
-1
Let j(l) be the first derivative of l**3/3 + 4*l**2 - 16*l + 15. Let d be j(-10). Solve -2 = -2*v + d for v.
3
Let c be (-10 - -9)*(-1 - 2). Solve -2*b + c = b for b.
1
Let d be (35/(-14))/((-1)/2). Suppose d*f - f = 8. Solve 1 = -f*u - 3 for u.
-2
Let r(t) = t**3 + 2*t + 3. Let k be r(0). Suppose 3*l + 0*x = 4*x + 5, -3*l + 5*x + 4 = 0. Suppose 5*g = 4*q - 0 + k, 4*g - 3*q = l. Solve i + 2 + g = 0 for i.
-5
Suppose z + 65 = 2*z. Suppose -20 + z = -5*a. Let l(y) = -y**2 - 11*y - 11. Let o be l(a). Solve 5 = -o*g + 2*g for g.
-1
Let n = 0 - -3. Let o = -176 + 177. Suppose -o = -n*p + 23. Solve 8 = p*b - 4*b for b.
2
Suppose -3*h + 1 = 2*o, 2*o - 8*h + 3*h = 9. Solve 3*z - o = 1 for z.
1
Let o = -694 - -697. Solve 3*g = -o*g for g.
0
Let i(d) = d**2 - 15*d + 18. Let o be i(10). Let u be 1 + 15/(-12) + (-104)/o. Solve -4*v - u = -v for v.
-1
Let i = -7 - -20. Suppose -2*t = 2*p + 1 + 1, 6 = -4*p - 3*t. Let j be 21/9*p/(-1). Solve -i = -4*u + j for u.
5
Let r be (-1 + -5*1)*(-2464)/264. Solve -47 = -3*i - r for i.
-3
Let x(o) = o**3 - 7*o**2 - 31*o + 198. Let i be x(8). Solve -8*a - 54 = -i for a.
-5
Suppose -4*o = 16, 5*n - o + 6*o = 120. Let c = n - 19. Solve -s = 2*s + c for s.
-3
Let r = 21 - 11. Let u = 86 - 54. Suppose 5*a - 5 = 2*t - 0*t, u = 4*t + 4*a. Solve 0*f = t*f - r for f.
2
Let l(r) = -r**2 + 4*r + 4. Let x be l(4). Let n = 140 - 137. Solve -x*t - n - 17 = 0 for t.
-5
Suppose -5*d - 2*d = 42. Let p be (6/9)/2 - (-2)/d. Solve 0 = -p*y - 2*y + 10 for y.
5
Let j(r) = 2*r**2 - 3*r. Let c(s) = s**3 + 7*s**2 + 3*s - 8. Let m be c(-6). Suppose 3*p - 10 = a, 4*p - m = 2*a + a. Let u be j(p). Solve -4*h - h = u for h.
-4
Let j be -2 + (-16)/(-2 - 2). Suppose -j*k = k - 30. Suppose n - 2 = -i - 3*i, 5*n = -5*i + k. Solve l = -i*l + 4 for l.
4
Let f be (-1)/(-4) - (-7)/4. Suppose -8*h + 518 = -122. Let c = h - 74. Solve -12 = f*b - c*b for b.
3
Suppose -130*l + 124*l = -180. Solve -4*u + l = -10*u for u.
-5
Let d be (30/(-8))/(26/(-104)). Let g = 34 - 26. Solve 0 = g*u - 3*u + d for u.
-3
Suppose -4*c + 3 = 2*t + 5, -2*t + 5*c = 11. Let d be (-6)/(-3) - 5 - t. Solve k + 0 - 3 = d for k.
3
Suppose -4*a + 2*z + 12 = 0, 7*z = -3*a + 5*z + 16. Let n be (3/a)/(3/12). Let k(c) = -2*c - 1. Let y be k(-1). Solve -4 = n*h - y for h.
-1
Suppose 4*n - 7*n = 0. Suppose n = -9*t + 8 + 1. Solve 4 = -b + t for b.
-3
Let m(p) = -p**2 + 6*p + 9. Let i be m(7). Let j = 118 + -115. Suppose j*g = -4*g + 14. Solve 0 = g*l + i*l for l.
0
Let j = 17 - 15. Let a(k) = -k**2 - 6*k - 2 + 18*k - 4. Let g be a(11). Solve -g = -j*w - 15 for w.
-5
Let n = -4 - -7. Suppose 43 = -4*t + l, 32 = -3*t - 0*l + l. Let d be t/(-7) - (36/28)/(-3). Solve -d = -n*h + h for h.
1
Suppose -12*l = -15*l + 207. Suppose 3*i = -3*p + 39, 5*i = -5*p + i + l. Solve -5*f + 3 = -p for f.
4
Let t be (-8)/48*0/(-2). Solve t = r + 3 - 0 for r.
-3
Let f = 3233 - 3176. Solve f - 30 = 9*b for b.
3
Suppose 40*q - 31 = 39*q + 5*b, -3*q = -2*b - 28. Solve q*z - 9 = 9*z for z.
-3
Suppose 0 = -22*v + 24*v - 14. Let q be (0 - -3)*1/3. Solve -v*c - q = -6*c for c.
-1
Let u be 6/(-10) - (-247)/95. Solve -u*j = -3 + 1 for j.
1
Let r(d) = -d**2 - 4*d - 2. Let x be r(-6). Let z(p) = p**3 + 14*p**2 + p + 15. Let o be z(x). Let v be (1 + -1)/(1 + o). Solve v = -m + 3*m for m.
0
Let p = -2682 + 2693. Solve p = 2*m + 1 for m.
5
Let o = -447 - -448. Solve -9*w + 46 = o for w.
5
Let s(g) = -9*g**2 - 9*g - 14. Let o(t) = -5*t**2 - 4*t + 0 - 5 - 2. Let f(i) = -11*o(i) + 6*s(i). Let n be f(11). Solve -4*c = -6*c + n for c.
2
Suppose -j + 273 = 4*v, v - 4*j = -7*j + 82. Solve -68*d = -v*d for d.
0
Suppose -j = 3*j - 12. Suppose -n | {
"pile_set_name": "DM Mathematics"
} |
/11)
Simplify (p**3*p/p**(-2))**(-3/4) assuming p is positive.
p**(-9/2)
Simplify (((m/(m*m*m**(-1/7)))/m)/m*m)/(m/((m/(m*m*m**4/m))/m)*m)*(m**1)**(-2/45) assuming m is positive.
m**(-2804/315)
Simplify (w/w**(-6/7))/(w**4/w) assuming w is positive.
w**(-8/7)
Simplify q**(-11)/(q*q/q**(-13)) assuming q is positive.
q**(-26)
Simplify (r/((r*r/((r/r**(-2))/r)*r)/r))/r**2*(r/(r*r/(r*r**(-1))*r))/(r**(-5)/r) assuming r is positive.
r**3
Simplify ((r**(-2)/r)/r)**(-11/7)*r*r**4*r**(-3) assuming r is positive.
r**(58/7)
Simplify (h*h**(4/11))/h**11 assuming h is positive.
h**(-106/11)
Simplify m**(2/35)/m**(3/4) assuming m is positive.
m**(-97/140)
Simplify ((g*g**(6/11)*g)/g)/(g*g/(g**(2/19)/g)) assuming g is positive.
g**(-282/209)
Simplify (i*i/(i*i*i**(-3)))**(-27) assuming i is positive.
i**(-81)
Simplify (r**7/(((r*r**6*r)/r)/r))**13 assuming r is positive.
r**13
Simplify (((t*t/(t/t**(-28)))/t)/t)**34 assuming t is positive.
t**(-986)
Simplify (n/(n*(n*n**(-1/4)*n)/n))**(-1/30)/(n/(n*n*n/(n*n**(-1)/n*n)))**(-1/20) assuming n is positive.
n**(-3/40)
Simplify (k**2)**(-2/51)/(k**6*k**(-6)) assuming k is positive.
k**(-4/51)
Simplify ((y/y**(-1/4))/y)/(y*y/(y*y**1))*y*(y/(y*((y*y**(-2/5))/y)/y))/y*y/(y/y**4)*y assuming y is positive.
y**(133/20)
Simplify x**(7/2)/(x*x**1*x) assuming x is positive.
sqrt(x)
Simplify ((q/(q**(-2)*q))**26)**(7/5) assuming q is positive.
q**(364/5)
Simplify y**(-10)*y*y**(1/15)*y*y assuming y is positive.
y**(-104/15)
Simplify ((x**(-2/9))**(-2/61))**(3/43) assuming x is positive.
x**(4/7869)
Simplify (c**(-2/9)*c**(-1/11)*c)/((c/(c*c**5))/(c**(-1/3)*c*c*c*c*c)) assuming c is positive.
c**(1025/99)
Simplify d**6*d*d*(d*d**(7/9))/d*d assuming d is positive.
d**(88/9)
Simplify s**(-6/11)*s**(-19)/s assuming s is positive.
s**(-226/11)
Simplify (t/(t*(t*t*t**(-2/11)*t)/t)*t**6)**(-1) assuming t is positive.
t**(-46/11)
Simplify (((a*a*a/a**(4/7)*a)/a)/a)**(-2/53) assuming a is positive.
a**(-20/371)
Simplify (h*h**8)**(-12/7) assuming h is positive.
h**(-108/7)
Simplify z**2/z*(z*z**0*z*z)/z*(z**(-1))**(-3/16) assuming z is positive.
z**(51/16)
Simplify g*g**(-1)*g*g*g*g**(-8) assuming g is positive.
g**(-5)
Simplify ((l*l/((l/(l*l/((l**(3/4)/l)/l)))/l)*l)/(l/(l/(((l/l**(-1/8))/l)/l*l))))**(-14/5) assuming l is positive.
l**(-343/20)
Simplify i**(-10)/(i**5/i) assuming i is positive.
i**(-14)
Simplify (u**(2/7)*u)**(-36)*(u*(u/(u**(1/3)/u))/u*u)**(4/3) assuming u is positive.
u**(-2692/63)
Simplify (y*y**(-14))/(y*(y*y**(-1/3))/y*y) assuming y is positive.
y**(-44/3)
Simplify ((k/(k*k**(5/4)))/k*k)/(k*k**(-6)/k*k) assuming k is positive.
k**(15/4)
Simplify (c/(c/((c**(1/5)/c)/c)))**30 assuming c is positive.
c**(-54)
Simplify (p**(3/11)/p)/p**(-11) assuming p is positive.
p**(113/11)
Simplify ((i*i*(i/(i*i**0/i)*i)/i*i)/i)**(11/2)*(i**(2/3))**(-37) assuming i is positive.
i**(-49/6)
Simplify (g**(-4)/(g/g**(1/5)))**(-2) assuming g is positive.
g**(48/5)
Simplify (u**(-2/3))**(-23)/(u**(-1)/u**(-1)) assuming u is positive.
u**(46/3)
Simplify ((v*v**(2/11)*v)/(v*v**(1/2)))/(v**1*v**(-11/3)) assuming v is positive.
v**(221/66)
Simplify (z**(-1)*z*z)**(-2/19)*z**(2/7)/(z*z**(-3/4)) assuming z is positive.
z**(-37/532)
Simplify p**(-2/75)/p**(5/6) assuming p is positive.
p**(-43/50)
Simplify (d*d**5)/(d*d*d/d**(-1))*(d**(-1))**41 assuming d is positive.
d**(-39)
Simplify (a*a/a**0*a)**26*(a/(((a**(1/2)/a)/a)/a))/a**(4/7) assuming a is positive.
a**(1133/14)
Simplify (((h**1/h)/h)**(-9/7))**(6/13) assuming h is positive.
h**(54/91)
Simplify y**(-5/9)/(y/(y**(-15)/y)*y) assuming y is positive.
y**(-167/9)
Simplify m**6/(m**(2/107)*m) assuming m is positive.
m**(533/107)
Simplify (n**2)**(2/53) assuming n is positive.
n**(4/53)
Simplify (j**(1/14)*j)/j**(-14) assuming j is positive.
j**(211/14)
Simplify i*i**(-34)*i*i/i**(-1/5) assuming i is positive.
i**(-154/5)
Simplify (n**5*n*n*n*n*n/(n*n**(-16)/n)*n)**(-50) assuming n is positive.
n**(-1350)
Simplify (z**8/((z/(z*z/(z/(z**(-1/3)*z)*z)))/z))**31 assuming z is positive.
z**(806/3)
Simplify ((l**(-1)/l)**(-5))**(-5/9) assuming l is positive.
l**(-50/9)
Simplify z**(-3/10)*z**(-2/19)*(z**(2/7))**(1/3) assuming z is positive.
z**(-1237/3990)
Simplify j/((j*j**(-25))/j)*j/j**5 assuming j is positive.
j**22
Simplify ((y*y/(y/(y/(y**3*y))))/y**(-6))/((y/(y*y/y**(-3/2)))/y*y**(-4)) assuming y is positive.
y**(23/2)
Simplify g/(g*g*g**18)*g**(-29) assuming g is positive.
g**(-48)
Simplify l**22/l**(4/17) assuming l is positive.
l**(370/17)
Simplify ((v**(-13)/v)/v)**29 assuming v is positive.
v**(-435)
Simplify (h**(-1/21)/h)/(h**(-2/7)/h) assuming h is positive.
h**(5/21)
Simplify (u**(16/5))**(-31) assuming u is positive.
u**(-496/5)
Simplify u**(-1)*u**(-5/6)*(u*u**(-2)*u)**(4/3) assuming u is positive.
u**(-11/6)
Simplify (z*z**(-1)*z*z)**(-25) assuming z is positive.
z**(-50)
Simplify (j/(j/(j/(j/j**(-25))*j*j))*j)/j*j*(j*j**(-4/3))/j assuming j is positive.
j**(-70/3)
Simplify ((((s**(-2/5)*s)/s)/s)/s)/s*s**(1/4)*(s**(-4)*s)/((((s/(s/(s*s/((s*(s*s*s**(2/7))/s*s)/s)))*s)/s)/s*s)/s) assuming s is positive.
s**(-681/140)
Simplify u**13/(u/(u**(-11/3)/u)) assuming u is positive.
u**(22/3)
Simplify (v*v**(-33))**(11/9) assuming v is positive.
v**(-352/9)
Simplify (p**(-1/2))**(1/58) assuming p is positive.
p**(-1/116)
Simplify (c*(c*c*c*c*c*c**(1/21)*c*c)/c)/(c/(c**(-2/7)*c)) assuming c is positive.
c**(142/21)
Simplify (f**(2/109)/f)/f**(15/2) assuming f is positive.
f**(-1849/218)
Simplify ((i/(i*i**(2/3)/i))/i)**(-40)*((i**(-2)/i)/i)**(1/3) assuming i is positive.
i**(76/3)
Simplify i/i**7*i/i**(-1/2)*i*((i**1/i)/i)**(-29) assuming i is positive.
i**(51/2)
Simplify ((s**(2/11))**(-29/3))**24 assuming s is positive.
s**(-464/11)
Simplify m/(((m/m**(-2/19)*m)/m)/m*m*m)*m/m**(-15) assuming m is positive.
m**(283/19)
Simplify (((f*f/(f*f*f*f/f**1*f)*f)/f)/f)**(-8/3)*f*f**(-5)*(f**4*f)/f assuming f is positive.
f**8
Simplify (f**(-3))**(-23)*f**(-6/7)/(f*(f*f**(-1/11)*f)/f) assuming f is positive.
f**(5100/77)
Simplify ((p*p**(3/4)/p)/p**(-4))**(-3/4) assuming p is positive.
p**(-57/16)
Simplify (p/p**(1/2)*p*p**(-2/7))/((p*p/(p*p*p**5*p*p))/(p**(-6)/p)) assuming p is positive.
p**(17/14)
Simplify (c**0/(c/((c/((c/c**(-4/5))/c))/c*c)))/(((c/c**(1/4))/c)/c)**36 assuming c is positive.
c**(221/5)
Simplify c**(2/27)*c/((c/(c**6/c))/c)*((c*c*c**7/c)/c)/(c/(c/((c*c**0/c*c)/c*c))) assuming c is positive.
c**(326/27)
Simplify (t/(t*t*t**(-1/3)/t)*t)/t*t*t*t*t**21 assuming t is positive.
t**(73/3)
Simplify (m**(5/3)*(m**5*m)/m*m)/((m/m**(-1))/(m*m/(m*m**(-4)/m)*m)) assuming m is positive.
m**(38/3)
Simplify (t**(1/4))**(-18/7)/(t**5*t**(3/4)/t) assuming t is positive.
t**(-151/28)
Simplify ((f*f**(4/3))/f**(1/12))**(-1/2) assuming f is positive.
f**(-9/8)
Simplify (((f*f**(1/5)*f)/f)/f**(-8))**(-2/11) assuming f is positive.
f**(-92/55)
Simplify (t**(-3)*t**(-7))/(t*(t**8*t)/t*t*t**(-3)) assuming t is positive.
t**(-17)
Simplify (a**(-1/4)*a*a**(-4))/(a*a*a**(-2/7)/a)**(-2/13) assuming a is positive.
a**(-1143/364)
Simplify (s**(6/7))**(-7) assuming s is positive.
s**(-6)
Simplify (u*u*u*u*(u**13*u)/u*u*u**(-9))**(-2/31) assuming u is positive.
u**(-18/31)
Simplify m**(-23)/m*m**(-3/4) assuming m is positive.
m**(-99/4)
Simplify f**(4/3)/f**(-1/9)*(f/(f*(f/f**2)/f)*f)**(2/3) assuming f is positive.
f**(31/9)
Simplify g**6/(g**(-39)*g) assuming g is positive.
g**44
Simplify (h**1)**16/((h**(-1)*h)/h*h*h**(1/8)*h*h) assuming h is positive.
h**(111/8)
Simplify g**20*g*g*g**1*g assuming g is positive.
g**24
Simplify (y**6)**(-2) assuming y is positive.
y**(-12)
Simplify (m**13*m)/(m/m**(10/7)) assuming m is positive.
m**(101/7)
Simplify (i**9)**(2/3) assuming i is positive.
i**6
Simplify ((h/(h*h/h**(-2/29)*h))/(h*h**11*h))**(2/121) assuming h is positive.
h**(-874/3509)
Simplify (f/f**8)**(-34) assuming f is positive.
f**238
Simplify (b/(b*b**(1/4)))**(1/6)*b**3/(b*b**(-2/21)) assuming b is positive.
b**(115/56)
Simplify (x**(-3/4))**22 assuming x is positive.
x**(-33/2)
Simplify ((m/(m*m**(-1/6)/m))/(m**(-12)/m))**(-8/7) assuming m is positive.
m**(-340/21)
Simplify (t*t**(-1))**30*(t/(t**(-1/3)/t))**(-18/13) assuming t is positive.
t**(-42/13)
Simplify ((l*l*(l*l**(2/3))/l)**50)**(-2/19) | {
"pile_set_name": "DM Mathematics"
} |
127, 62, 2, -2/9, -8
Put -21, 0, 1, -3, 4, 7672, -2 in descending order.
7672, 4, 1, 0, -2, -3, -21
Put -3, 24.6, -0.2, 0.8, 3 in ascending order.
-3, -0.2, 0.8, 3, 24.6
Sort -5, 2218/639, 0.5, 0.3, 4 in increasing order.
-5, 0.3, 0.5, 2218/639, 4
Sort 45675237, -1, 1 in descending order.
45675237, 1, -1
Sort -5715.172, 0.1, -0.5 in descending order.
0.1, -0.5, -5715.172
Sort -4, 3, -3, 4, -8447, 54, 2.
-8447, -4, -3, 2, 3, 4, 54
Sort 2, -5, 774710, 1.
-5, 1, 2, 774710
Put -4/33, 4/3, -53.5, -4 in decreasing order.
4/3, -4/33, -4, -53.5
Put 1/171, -1647/4, -19 in decreasing order.
1/171, -19, -1647/4
Sort 470572, -4, 3, -3 in decreasing order.
470572, 3, -3, -4
Sort 0.034, -71064, -13 in decreasing order.
0.034, -13, -71064
Put 65, -4, -117, 260, -7 in increasing order.
-117, -7, -4, 65, 260
Put -18, -1, 1, 294, 30, 4, 2 in ascending order.
-18, -1, 1, 2, 4, 30, 294
Sort -4/5, -40, 0.7, -0.25, 160, 0 in increasing order.
-40, -4/5, -0.25, 0, 0.7, 160
Sort 18, 46, 3, 97, 8, 2 in ascending order.
2, 3, 8, 18, 46, 97
Put -238, -1, 499, -7, 3, 2 in increasing order.
-238, -7, -1, 2, 3, 499
Sort 5, 84, -4, 4, 14, -26 in increasing order.
-26, -4, 4, 5, 14, 84
Sort -4, 4, -817699 in ascending order.
-817699, -4, 4
Sort -2, 2, -10, 757, -5, -180 in decreasing order.
757, 2, -2, -5, -10, -180
Sort -18, 2, 4, 125, 581 in descending order.
581, 125, 4, 2, -18
Sort -21, -2, -3, 47, 5, -8, -49.
-49, -21, -8, -3, -2, 5, 47
Sort 137, -14, 5, 2, -90, 1.
-90, -14, 1, 2, 5, 137
Sort 4/3, 4, -554, 0.1, -196 in descending order.
4, 4/3, 0.1, -196, -554
Put 3, -41, -4, -3, -475 in ascending order.
-475, -41, -4, -3, 3
Sort 0, 11, 85, 72, -2, -3 in increasing order.
-3, -2, 0, 11, 72, 85
Sort 1200, -65, 5, 0 in descending order.
1200, 5, 0, -65
Sort -5, -1, 1033, 252, 5 in decreasing order.
1033, 252, 5, -1, -5
Put -0.005, -5, -3, 22, 415 in descending order.
415, 22, -0.005, -3, -5
Put 5, 3, -4, -180766, 4 in ascending order.
-180766, -4, 3, 4, 5
Sort 0, 11, 859, 24 in decreasing order.
859, 24, 11, 0
Sort -15, 0, 43, 5, -5, 1 in descending order.
43, 5, 1, 0, -5, -15
Sort 5, 55, -2, 6, 99, 0, -6 in decreasing order.
99, 55, 6, 5, 0, -2, -6
Sort 24, 2, 5, 310, 4, -3.
-3, 2, 4, 5, 24, 310
Sort -2, 4, 297, 231.
-2, 4, 231, 297
Sort -26, 3/5, 2, -2/9, -1753/14 in increasing order.
-1753/14, -26, -2/9, 3/5, 2
Put -5, 1, -2/8104921 in increasing order.
-5, -2/8104921, 1
Sort -483, -1/3, 0.5, 1, -1074 in decreasing order.
1, 0.5, -1/3, -483, -1074
Put -4, -625, 157543 in ascending order.
-625, -4, 157543
Sort 4, -9, -5, -1, 389, 22.
-9, -5, -1, 4, 22, 389
Sort 1, -1, -50, 2079, 1/2, 1/12 in descending order.
2079, 1, 1/2, 1/12, -1, -50
Sort -0.5, 3, -5, 0.03, -7, 5/2 in descending order.
3, 5/2, 0.03, -0.5, -5, -7
Put -7, 0, 19, -12, -1, -5, 17 in increasing order.
-12, -7, -5, -1, 0, 17, 19
Sort 2, -0.3, 5, 48, 13970, -1 in descending order.
13970, 48, 5, 2, -0.3, -1
Sort 242, -3, -5260, -5 in increasing order.
-5260, -5, -3, 242
Put 4/5, 5, 0.22, 17755 in ascending order.
0.22, 4/5, 5, 17755
Sort 21775, -547, 1, -3, 3 in decreasing order.
21775, 3, 1, -3, -547
Sort 4, -1, -11967, 14, 1 in descending order.
14, 4, 1, -1, -11967
Put -15, 5, -2, -3, 71, 17 in decreasing order.
71, 17, 5, -2, -3, -15
Put 3, -266, 355993 in decreasing order.
355993, 3, -266
Sort 5, -1, -166197, 4.
-166197, -1, 4, 5
Sort -303164, 4, -3 in descending order.
4, -3, -303164
Sort 37, 0, 1, 9, 715 in ascending order.
0, 1, 9, 37, 715
Sort 1/4218995, -2/9, -3, -4 in increasing order.
-4, -3, -2/9, 1/4218995
Sort 1/17, -2, 276.644 in ascending order.
-2, 1/17, 276.644
Put 0.1, -5, -21991, -0.3, 2, -0.2 in increasing order.
-21991, -5, -0.3, -0.2, 0.1, 2
Put -15831548, 12, 2 in increasing order.
-15831548, 2, 12
Sort 195, -1, 0, 0.1, 25.
-1, 0, 0.1, 25, 195
Put 3, 7, 0.0114, 0.07, -1 in ascending order.
-1, 0.0114, 0.07, 3, 7
Put 3, -129, -4/5, 1.1, 4, -3/7 in decreasing order.
4, 3, 1.1, -3/7, -4/5, -129
Sort -5, 1, -6, 493781.
-6, -5, 1, 493781
Sort -1519, 0.2, 211 in ascending order.
-1519, 0.2, 211
Sort 28, 71, 642, 1, 4, 3.
1, 3, 4, 28, 71, 642
Sort 5, 4, 0, 2/73, -5, -2/9.
-5, -2/9, 0, 2/73, 4, 5
Sort -4770, 67, 3, 5, 6, 1, -5.
-4770, -5, 1, 3, 5, 6, 67
Put 0, -2, -11494, 2, 49, 1 in decreasing order.
49, 2, 1, 0, -2, -11494
Sort 102/25, 1, 96, 76 in ascending order.
1, 102/25, 76, 96
Put 183, 4, -0.3, -4, 1.3 in ascending order.
-4, -0.3, 1.3, 4, 183
Sort 8, 4, 6, -97, 695.
-97, 4, 6, 8, 695
Sort -200, 0.0615, 0.5, 4, 0.04 in decreasing order.
4, 0.5, 0.0615, 0.04, -200
Sort 5, -1, 1, -9, -3, -91 in ascending order.
-91, -9, -3, -1, 1, 5
Put 3, -0.2, -11670.343, 1/2 in increasing order.
-11670.343, -0.2, 1/2, 3
Put 2, 5/4, -321, -0.07, 2/21 in ascending order.
-321, -0.07, 2/21, 5/4, 2
Put 0, 2/11, -13, 0.4, -3, -29, 5 in descending order.
5, 0.4, 2/11, 0, -3, -13, -29
Put -1, -13, -17, 8, 20 in decreasing order.
20, 8, -1, -13, -17
Put -1, 635, 0.9, 2.1 in decreasing order.
635, 2.1, 0.9, -1
Sort -947269, -7, 5 in increasing order.
-947269, -7, 5
Sort 114, -317, -0.5, 1.1 in increasing order.
-317, -0.5, 1.1, 114
Sort -2/5, 702.7, 0 in descending order.
702.7, 0, -2/5
Put 1, -4, -286, -2, -790 in decreasing order.
1, -2, -4, -286, -790
Put 4, 175, -4, 12, 0, 2, -9 in descending order.
175, 12, 4, 2, 0, -4, -9
Sort 4, 36, 111, 5, 3, -10 in increasing order.
-10, 3, 4, 5, 36, 111
Sort -1, -5, 18, -1342 in ascending order.
-1342, -5, -1, 18
Sort 49555, -1/46, 0.4, 2.
-1/46, 0.4, 2, 49555
Sort 4.82, 36, -14/9, 8, -0.1, 0.
-14/9, -0.1, 0, 4.82, 8, 36
Put -1, -7, 2562, -5, -22, -4 in ascending order.
-22, -7, -5, -4, -1, 2562
Put 55517, 2, -0.03, 0.3, 0.4 in decreasing order.
55517, 2, 0.4, 0.3, -0.03
Put -367, 1, -0.06, -1/4, -11, 0.1 in descending order.
1, 0.1, -0.06, -1/4, -11, -367
Sort -138, 922, 402.
-138, 402, 922
Put 10, 0.2, -16, -2, -0.1, 3, 0 in increasing order.
-16, -2, -0.1, 0, 0.2, 3, 10
Sort -4, -47, -32917 in increasing order.
-32917, -47, -4
Sort 31/11, -5, 0.2199, 0.17 in decreasing order.
31/11, 0.2199, 0.17, -5
Put -2/7, 0.1, 338, -50, -5, 158 in increasing order.
-50, -5, -2/7, 0.1, 158, 338
Put -234, 2, 129556 in decreasing order.
129556, 2, -234
Sort 1, -2, -7, -1, -180, -5, 191 in decreasing order.
191, 1, -1, -2, -5, -7, -180
Sort 1/19, -70, 0, 2/7, -4 in decreasing order.
2/7, 1/19, 0, -4, -70
Put -0.5, 0.42, 0, 3/5, -4, 54 in descending order.
54, 3/5, 0.42, 0, -0.5, -4
Put 5, 2264, 21, -3, 3 in ascending order.
-3, 3, 5, 21, 2264
Sort 25436, 7, 0.0239 in descending order.
25436, 7, 0.0239
Sort -961, 3, -1, -212.
-961, -212, -1, 3
Sort -112, 4, -12, -1, 10, 0, 42 in descending order.
42, 10, 4, 0, -1, -12, -112
Sort -17, 10238, -4.
-17, -4, 10238
Put 3, 7, -5, 18, -4, -156 in descending order.
18, 7, 3, -4, -5, -156
Put 17687, -5, 0, 1 in decreasing order.
17687, 1, 0, -5
Sort -5, 17, -20, -1, -71.
-71, -20, -5, -1, 17
Put -31.79, 5, 0.1, 130, -2, -0.1 in ascending order.
-31.79, -2, -0.1, 0.1, 5, 130
Sort 1, -0.265, -4244, 0.3.
-4244, -0.265, 0.3, 1
Sort -2, 426, -16, -3, 43, 20 in decreasing order.
426, 43, 20, -2, -3, -16
Put -3, 144, 53, -85, -4 in decreasing order.
144, 53, -3, -4, -85
Sort 8, -168, -2, -1, -3, 11, 2 in descending order.
11, 8, 2, -1, -2, -3, -168
Sort -3190, -28, -2, 2, 7 in descending order.
7, 2, -2, -28, -3190
Sort 24.9, 1.961, 3.
1.961, 3, 24.9
Put -0.02, -1, -415, -155, 1 in ascending order.
-415, -155, -1, -0.02, 1
Sort -49.73, -3, 2, 1, 3, -1.6 in decreasing order.
3, 2, 1, -1.6, -3, -49.73
Sort -1679, 2, -4, -17, -6, -3, 3.
-1679, -17, -6, -4, -3, 2, 3
Put 93033, 4, -1, -5, 0 in decreasing order.
93033, 4, 0, -1, -5
Sort -3, 3, 129, -5, -144, -4 in descending order.
129, 3, -3, -4, -5, -144
Sort 2417.8, -432, -0.4, -2.
-432, -2, -0.4, 2417.8
Put -71/87, -23, -3/8, 4 in descending order.
4, -3/8, -71/87, -23
Sort 5, 543, -6, 1, 4, 41 in descending order.
543, 41, 5, 4, 1, -6
Put -4, 52, 2, 1, 68, -1, 7 in increasing order.
-4, -1, 1, 2, 7, 52, 68
Sort -153, 529, 0.
-153, 0, 529
Sort 841, 0, -2, 4, -26, -3, -5.
-26, -5, -3, -2, 0, 4, 841
Sort -14, -431, -15, -87 in decreasing order.
-14, -15, -87, -431
Put 0.1, -0.1, 72, -5, -31.3, 3 in descending order.
72, 3, 0.1, -0.1, -5, -31.3
Put -1, 0, -1034, -5, -2, 7, 6 in decreasing order. | {
"pile_set_name": "DM Mathematics"
} |
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