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Simplify (2 + (sqrt(192))**2 + (-3 + sqrt(3072))**2)*-2*-4.
-1536*sqrt(3) + 26200
Simplify (sqrt(27)/(sqrt(9) + sqrt(36)) - (sqrt(75) + sqrt(3))*3)**2*-1 - ((sqrt(3) + 1 + sqrt(432) + sqrt(6)/sqrt(18))**2*3 + 5).
-7633/3 - 80*sqrt(3)
Simplify -2*(-4*sqrt(20)/sqrt(2) - sqrt(10) - ((sqrt(810) - -1*sqrt(810)) + sqrt(810)))/(3*1*sqrt(180)) + 4.
4 + 32*sqrt(2)/9
Simplify (((sqrt(363) + 1)*-3 - (sqrt(75) + 0 - (2*sqrt(3) + 0))) + sqrt(48) + -3 + sqrt(192) + sqrt(3072) + -2)**2.
-128*sqrt(3) + 256
Simplify 0 + 2 + (sqrt(147) + 2)**2 + -1 + (3*1*sqrt(147) + sqrt(147))**2 + 0.
28*sqrt(3) + 2504
Simplify (sqrt(52) + (sqrt(208)*-1)/sqrt(4) + sqrt(52))/((sqrt(160)/sqrt(5))/sqrt(8) + sqrt(4)) - 2*sqrt(156)/(-5*sqrt(12)*-3).
11*sqrt(13)/30
Simplify 0 + (-4*(1*sqrt(252)*1*6 - (-2 + (sqrt(252) - (sqrt(252) + 2))*3)))**2.
9216*sqrt(7) + 146176
Simplify -1*((4 + sqrt(1539) + 4)*3 + (sqrt(1539) + sqrt(1539)*3)*2*-1)**2 + -1.
-39052 + 2160*sqrt(19)
Simplify (-5*(sqrt(128) - (sqrt(128) - (sqrt(128) - (sqrt(128) - (sqrt(128) - -3*sqrt(128)*2))) - sqrt(128))))/(2*(sqrt(324) + (sqrt(324)*1*6 - sqrt(324)))).
-40*sqrt(2)/27
Simplify -2*2*(6*sqrt(153)*-5*1)/(-4*(sqrt(9)*-1 + sqrt(9)) - 6*sqrt(144)).
-5*sqrt(17)
Simplify 5 + (3 + (0 + -2*sqrt(1331) + 1)*-4)**2 + -2.
-176*sqrt(11) + 85188
Simplify ((2*sqrt(130)*-1 - (sqrt(130) + 1*sqrt(130)*-5))*5)/((sqrt(50) + (sqrt(200) + (2*sqrt(200) - sqrt(200) - sqrt(200)))/sqrt(4))/(2*sqrt(45))).
30*sqrt(13)
Simplify (-3 + ((sqrt(112)*1 + 5)*3 + 3)**2 + 2)*4.
1728*sqrt(7) + 5324
Simplify -5 + ((-1*3*(sqrt(117)*3 + sqrt(117) + sqrt(117) - sqrt(117) - sqrt(117)))/(((3*sqrt(36))/sqrt(4) + sqrt(9))*-3))**2.
37/16
Simplify (-6*((sqrt(200) + (sqrt(200) - (1 + sqrt(200))))*-4 + 5*(-1*sqrt(200) + sqrt(200)) - 5*(sqrt(200) + 1 + sqrt(200))*4)*2*4)**2.
32440320*sqrt(2) + 892698624
Simplify (-4*(sqrt(304))**2 - sqrt(19))*1 + -2 - (3 + (4*sqrt(931)*-2)**2).
-60805 - sqrt(19)
Simplify 3*(sqrt(180)*-3*-4 + (sqrt(180) + -3*sqrt(180) + sqrt(180) - sqrt(180))*2)/(-3*(sqrt(54)/sqrt(3))/sqrt(2)*-5).
16*sqrt(5)/5
Simplify -2 + 5 + (5*(-3 + 3*(sqrt(475) - (-1 + sqrt(475)))*-5))**2.
8103
Simplify (5*((-1*sqrt(70)*2)/(sqrt(90)*-2) - (2*sqrt(441))/(sqrt(7)*-1*4)))**2.
21175/36
Simplify -6*(4*1*sqrt(152)*-4)/(sqrt(800)*1*5).
48*sqrt(19)/25
Simplify -3 + 4 + (2*(-3*sqrt(252) - sqrt(252)) - sqrt(252))**2 + ((-2 + sqrt(252) + 1 - sqrt(252)) + 1)**2 + 0.
20413
Simplify (2*(sqrt(510)*2*5)/sqrt(10))/(sqrt(33)/(sqrt(11) + sqrt(22)/sqrt(2)) - sqrt(3) - (sqrt(3) - (-1*sqrt(33) + sqrt(33))/sqrt(11))).
-40*sqrt(17)/3
Simplify (-2*sqrt(38)*-4)/(sqrt(128)*1 + sqrt(2)) - ((sqrt(114) + sqrt(114)*1)*-4)/((sqrt(96)*2 - sqrt(96)) + sqrt(96) + sqrt(96) + sqrt(96)).
25*sqrt(19)/18
Simplify (-4*(sqrt(2000) - (sqrt(2000) + -3 + 4)) + -5*sqrt(2000)*6*-2)**2.
9600*sqrt(5) + 7200016
Simplify ((sqrt(847) + 2)*-2 + 4*-2*sqrt(847) - (sqrt(847)*3 + -2 + sqrt(847) + -2*(1 + sqrt(847) + sqrt(847))))**2 + -1.
84699
Simplify (5*(4 + (3 + sqrt(76) + 0 - (-2 + 0 + sqrt(76) + sqrt(76) + sqrt(76))))*1*-2*3)**2.
-64800*sqrt(19) + 346500
Simplify 1 + -2*((-1 + sqrt(2299))**2 + -3) + -5 + (-4*(1 + 1*sqrt(2299)))**2.
396*sqrt(19) + 32202
Simplify -1 + -5 + (sqrt(2) - (sqrt(288) + sqrt(288)*-4))*6*2 + 5.
-1 + 444*sqrt(2)
Simplify -2 + (5 + -1 + (-2*sqrt(147)*6 - (5 + (sqrt(3) - (1 + sqrt(3)))*5)) + 3)**2.
-1176*sqrt(3) + 21215
Simplify 1*4*(3 + ((sqrt(539) + 0)*6 + (sqrt(539) - -1*sqrt(539)*1))**2)*-2.
-275992
Simplify (sqrt(8064)*2*-4)/(-1*4*sqrt(48)/sqrt(6)) + -4.
-4 + 24*sqrt(7)
Simplify -2*((sqrt(1210)*2)/(sqrt(25)/(sqrt(20)/sqrt(4))) - ((sqrt(18)/(3*sqrt(9)))**2 - (-4 + -1*sqrt(2)))).
-42*sqrt(2) + 76/9
Simplify -3*(3*(sqrt(72) - (sqrt(72) + sqrt(72)*-2*1))/sqrt(6))/((sqrt(270)*-1)/(sqrt(240)/sqrt(12))).
12*sqrt(2)
Simplify (0 + (sqrt(68)*5 + (sqrt(136) + sqrt(136) + (sqrt(136) - -1*sqrt(136)))/sqrt(8) - (sqrt(2176)/sqrt(2) + (sqrt(170)*3)/sqrt(10))))*2.
6*sqrt(17)
Simplify (-2 + 4 + (sqrt(143)*1*3*5)/(5*sqrt(275)*1))*-6.
-18*sqrt(13)/5 - 12
Simplify ((sqrt(1701) - -3*sqrt(1701)*2)*5)/(-1*2*sqrt(3) - (5*sqrt(300) + sqrt(300))).
-315*sqrt(7)/62
Simplify -6*(-2*sqrt(45)/(1*sqrt(3)))/(-1*(sqrt(5) - sqrt(25)/sqrt(5)*2)).
12*sqrt(3)
Simplify (1 + -3 + 6*(sqrt(1584) + 2 + sqrt(1584))*4*-2 + -5)**2.
237312*sqrt(11) + 14608753
Simplify -5*(((sqrt(120) - ((-5*sqrt(120) - sqrt(120) - sqrt(120)) + sqrt(120)))/sqrt(10))/(3*sqrt(4)*2) + -2)*-2.
-20 + 35*sqrt(3)/3
Simplify (5 + 2 + sqrt(1250) + -1 + 0 + (-1 + 1*sqrt(1250))*-3)**2.
-900*sqrt(2) + 5081
Simplify (-4*(-1*sqrt(475)*5 + -2*sqrt(475) + 5 + -4 + 1)**2 + 0)*-3.
-1680*sqrt(19) + 279348
Simplify 0 + 3*(sqrt(52)/(-2*sqrt(16)/sqrt(4)) + 1 - ((sqrt(117) + sqrt(117)*1)*4 - sqrt(117))/(2*(sqrt(9) - (sqrt(9) + sqrt(144))))).
3 + 9*sqrt(13)/8
Simplify (-5 + (2*sqrt(396) + sqrt(22)/(sqrt(2)*-3) + 2*sqrt(110)/(sqrt(120)/(sqrt(12)*-2 + sqrt(12))))**2)*-3.
-9206/3
Simplify ((-2 + ((-2 + sqrt(245))*6 + sqrt(245) - (sqrt(245) - -1*sqrt(245))*1) + -5)*6)**2.
-47880*sqrt(5) + 233496
Simplify (sqrt(605)/(2*sqrt(11) + sqrt(11)))/((sqrt(720) - sqrt(20)) + sqrt(20)) + (-1*(sqrt(11) + -2) + ((-1*sqrt(11))**2 - sqrt(11)) + -2)*-4.
-44 + 289*sqrt(11)/36
Simplify (2*(4 + sqrt(208) + (2*sqrt(208) - sqrt(208)) - (sqrt(78)/(sqrt(24) + sqrt(6)) + sqrt(13) + (sqrt(13) - (sqrt(117) + 0))))*5)**2.
20800*sqrt(13)/3 + 893200/9
Simplify 6*((sqrt(567) - (sqrt(567) + 2))*4 + -2 + (sqrt(567)*-2)**2 - (sqrt(1008) + -1 - sqrt(336)/sqrt(3))).
-48*sqrt(7) + 13554
Simplify (6*-1*-1*sqrt(3600))/(sqrt(98)*2*3 + sqrt(98) + sqrt(98) + (sqrt(98) - (sqrt(98) + sqrt(98)*-2 - sqrt(98) - sqrt(98))*3) + sqrt(98)).
180*sqrt(2)/133
Simplify -3 + (1*1*sqrt(7200)*-5)/((-2*sqrt(110)*6)/((1*sqrt(11) + sqrt(11))*1)).
-3 + 10*sqrt(5)
Simplify (4 + -1 + (sqrt(637) - (sqrt(637)*-2 + -1)) + 0 + sqrt(637)*2 + sqrt(637) + 2 + -4*(sqrt(637) + -4))**2.
616*sqrt(13) + 3032
Simplify (1*sqrt(343) - (sqrt(7) + sqrt(7) + 1)*-5 - ((sqrt(14)/sqrt(32) - (sqrt(7)*1 + 5)) + -2))**2*6.
2556*sqrt(7) + 112773/8
Simplify ((sqrt(110)/sqrt(10) + 2)*-1 + 4 + ((sqrt(132) + -3*sqrt(132))/sqrt(12) - sqrt(11)))**2*-5.
-900 + 80*sqrt(11)
Simplify (-2*(-1 + -1*sqrt(76)*1 + (sqrt(76) + (sqrt(76) - (2 + sqrt(76) + sqrt(76))))*2 + 5 + -1))**2.
16*sqrt(19) + 308
Simplify (sqrt(1008)*1)/((-1*sqrt(12))/sqrt(3)) + -4*(-5 + (sqrt(21)/sqrt(3)*1 - 4*sqrt(21)/sqrt(3))).
6*sqrt(7) + 20
Simplify (4*2*sqrt(150)/sqrt(3)*-6 + -3)*-4*-5.
-4800*sqrt(2) - 60
Simplify 0 + (1*(sqrt(72) + (sqrt(72) + 2)*-2)*3)**2 + 5.
432*sqrt(2) + 797
Simplify (((4*(-2*sqrt(147) - sqrt(147)))/(-6*sqrt(28)/sqrt(4)))/((sqrt(162) - -4*sqrt(162) - sqrt(162))/sqrt(6)*-3))**2.
7/324
Simplify (sqrt(95) + -5*(sqrt(95) - -2*sqrt(95)) - (sqrt(95) + sqrt(95) + -4*-2*sqrt(95)))/((sqrt(180)*6)/(-6*(sqrt(144) + sqrt(9)))).
60*sqrt(19)
Simplify ((-4*(sqrt(176)*1 + sqrt(176)))/(sqrt(11) - 4*sqrt(176)))/((-3*sqrt(56)*1)/(sqrt(7)*1*-1)).
8*sqrt(2)/45
Simplify -5*6*(5 + 0 + (sqrt(80) + -2)*-4 + -4)**2 + 5.
-40825 + 8640*sqrt(5)
Simplify 1 + 1 + -5 + 1*((-1*-3*sqrt(720))**2 - (sqrt(720) + ((3 + sqrt(720))*6)**2 + sqrt(720))).
-19767 - 2616*sqrt(5)
Simplify ((sqrt(33) + sqrt(297)/sqrt(729))/sqrt(11) - ((2 + sqrt(3))*-6 - ((sqrt(3) - (2 + sqrt(108) - sqrt(108))**2) + sqrt(3)))) + -3 + 2.
7 + 82*sqrt(3)/9
Simplify ((-1*sqrt(560)*4 + sqrt(560))/((sqrt(80) + ((1*sqrt(80) - sqrt(80)) + sqrt(80) - sqrt(80)))/sqrt(8)))/((2*sqrt(64))/(1*sqrt(162))).
-27*sqrt(7)/4
Simplify (1*sqrt(19) + 0 + -1 + -2 - (-5*(sqrt(152) + -2*sqrt(152) + sqrt(152) - sqrt(152) - sqrt(152)))/(sqrt(384)/sqrt(3)))**2*5.
45*sqrt(19) + 1035/4
Simplify (-5*((0 + sqrt(275))*-5 + (sqrt(275) + (sqrt(275) - (sqrt(275) + 1)))*2 + sqrt(275)*-1*6 + sqrt(275) + 1*sqrt(275) + 3) + -4)**2.
-3150*sqrt(11) + 336956
Simplify -5*((sqrt(162) - (1*sqrt(162))**2)*-1 + 5) - ((0 + sqrt(8))*-3*-5 + -4)**2.
-2651 + 285*sqrt(2)
Simplify ((1*-4*(sqrt(77)*2 + sqrt(77))*-3)/(1*sqrt(112)*-5*-3))**2.
99/25
Simplify (((2*sqrt(270) + sqrt(270))/sqrt(9) - (sqrt(2430) - (sqrt(2430)*-1 + sqrt(2430)) - sqrt(2430)))/(2*sqrt(100)/(1*sqrt(10))))**2.
27/4
Simplify -2*(-3*-5*sqrt(1300))**2 - ((sqrt(1300) + -2 + 3)**2 + sqrt(1300) + -6*(sqrt(1300) - (sqrt(1300) + 0))).
-586301 - 30*sqrt(13)
Simplify -2*((-3*4*sqrt(102)/sqrt(6)*3)**2 + sqrt(153) + 1 + sqrt(153)*2 + (s
|
{
"pile_set_name": "DM Mathematics"
}
|
nder when r is divided by 30?
14
Let m be (36/(-15))/((-1)/5). Suppose 4*d - q = 6 + 5, 0 = -5*d - 2*q + 4. Suppose 0 = -d*a + m - 8. What is the remainder when 9 is divided by a?
1
Let i = 83 + -22. Suppose 47*j + 252 = i*j. Calculate the remainder when 50 is divided by j.
14
Suppose 0*s = -s + 147. Let m(w) = -123*w + 2635. What is the remainder when s is divided by m(21)?
43
Let u = -138 + 141. Suppose 2*l - u*l = -71. What is the remainder when l is divided by 19?
14
Suppose 0*w - 344 = -4*w. Let v(i) = -6*i**2 + 9*i - 7. Let q be v(3). Let g = q - -63. Calculate the remainder when w is divided by g.
28
Let z(w) = w**3 - 9*w**2 + w + 19. Let h be z(9). Suppose -10*i = -12*i + h. Calculate the remainder when 531 is divided by i.
13
Let k(t) = 32*t**2 + 4*t + 2. Let p(b) = -63*b**2 - 8*b - 4. Let a(v) = -5*k(v) - 3*p(v). What is the remainder when 99 is divided by a(-1)?
18
Let n be (48/40)/(2/70). Suppose -2*l = l - n. Let z = 435 + -383. What is the remainder when z is divided by l?
10
Let c(u) = u**3 - 18*u**2 + 8*u + 164. Suppose -65 = -4*h - 3*j, -5*h + 100 = -5*j + 10. What is the remainder when 22 is divided by c(h)?
0
Let n(i) = -i**2 - 30*i + 239. What is the remainder when 565 is divided by n(-36)?
13
Let b(g) = 5*g**2 - 47*g - 214. Calculate the remainder when 5719 is divided by b(13).
19
Let a be (-1)/3 - (-80)/24. Suppose a*f - 5 = 2*f. Calculate the remainder when 3*(-82)/(-15) + (-122)/305 is divided by f.
1
Let l be (9 + -9)/(-1 - 0). Suppose l = 4*n + 2*z - 814, -4*z - 196 = -n - 2*z. Calculate the remainder when n is divided by 21.
13
Let n(a) = -9*a + 176. Let y be n(17). Suppose -779 = -y*s - 43. What is the remainder when 112 is divided by s?
16
Suppose -4*b = 22 - 326. Suppose b - 811 = -3*p. Suppose 4*d + 118 = 6*d - 4*m, -4*d - m + p = 0. What is the remainder when d is divided by 21?
19
Suppose 0 = -0*u - 10*u - 76 + 666. Calculate the remainder when 93 is divided by u.
34
Suppose 19 = -2*r + 25. Let o(y) = 2*y**3 - 4*y**2 + 3*y - 6. What is the remainder when 57 is divided by o(r)?
15
Suppose -9*f = -0*f - 261. Suppose -7*c = -9*c - 56. Let n = -11 - c. What is the remainder when f is divided by n?
12
Let n = 17265 - 17236. Let y(d) = 111*d**2 - d + 1. Calculate the remainder when y(1) is divided by n.
24
Suppose 3*o + 16 = 7*o. Suppose 18 = o*j + 5*t + 43, 0 = -t + 3. Let q = 20 - j. Calculate the remainder when 87 is divided by q.
27
Suppose -4*h + 3*r - 4*r = 199, r + 101 = -2*h. Let d = 96 + h. Calculate the remainder when 177 is divided by (d - (-1 - -3))/1.
42
Suppose 356 = -9*s + 302. Calculate the remainder when (7 - 1864/24)*1*s is divided by 61.
58
What is the remainder when (-18)/(-42) - (-24024)/196 is divided by (-3)/(-5) - 951/(-15)?
59
Let r(w) = -2*w + 65*w**2 - 43*w**2 - 7 - 33*w**2. Let x be r(-3). Let s = 143 + x. What is the remainder when s is divided by 23?
20
Suppose 13*g = 11*g + 488. Suppose -4*f - 50 = -k, -5*k + k = -5*f - g. What is the remainder when (k/12)/(2/4) is divided by 7?
4
Let a(x) = -x**3 - 9*x**2 - 18*x - 2. Let d = -135 + 245. Suppose 0 = -t + 6*t - d. What is the remainder when t is divided by a(-2)?
4
Suppose 0 = 3*z - b - 221, -3*z - 2*b = -4*b - 226. Suppose -i + 1 = 0, 4*v - 578 = 3*i - 25. Calculate the remainder when v is divided by z.
67
Let z(v) = 2*v + 391. What is the remainder when z(44) is divided by 60?
59
What is the remainder when (-23)/(115/(-70185)) + 17 is divided by 251?
249
Suppose -8*y + 28 = -12. Suppose v = y*t - 4*v - 15, t + 4*v = -12. Suppose 3*f + 45 = 2*n, f + t = 5. Calculate the remainder when n is divided by 11.
8
Let x = 232 + -166. Let s = x + -61. Let j(m) = -m**3 + 6*m**2 - 3*m + 9. Calculate the remainder when j(s) is divided by 5.
4
Suppose -43*q + 35*q + 11256 = 0. Calculate the remainder when q is divided by 3.
0
Suppose -78 = -2*y - 4*s, -3*y + 0*s = -4*s - 117. What is the remainder when (-148)/(-370)*(-1725)/(-6) is divided by y?
37
Let d(f) = f + 4. Suppose s + 19 = -71. Let w = s - -95. What is the remainder when d(w) is divided by 1?
0
Let r(g) = -g**3 - 14*g**2 + 14*g - 7. What is the remainder when 2847 is divided by r(-15)?
7
Let d(v) = -2159*v + 1107. What is the remainder when d(-4) is divided by 11?
8
Let z = -254 + 249. Let q(o) = o**3 + 3*o**2 - 16*o - 3. Calculate the remainder when 133 is divided by q(z).
25
Suppose 930 = 5*m + 2*l, 3*l = 4*m + m - 955. What is the remainder when 115 is divided by (-1)/4 - (-3619)/m?
1
Calculate the remainder when 315 is divided by (4 - 9)*276/(-20).
39
Let z(i) = 5*i**2 - 79*i + 320. Calculate the remainder when 164 is divided by z(12).
72
What is the remainder when (0 - (-5113)/6) + (-3)/18 is divided by 96?
84
Let o(z) be the first derivative of -6 + 3/2*z**2 + 95/3*z**3 - 2*z. What is the remainder when o(1) is divided by 33?
30
Let y = -59 - -53. Let d be (0 - (-18)/(-4))*y/9. Suppose -2*w - p + 60 = d*w, w + 3*p - 26 = 0. What is the remainder when 19 is divided by w?
8
Let s(d) = d - 19 + 4*d**2 + 4*d**2 + 8*d**2 + 24. Let j = 9 + 14. What is the remainder when s(-2) is divided by j?
21
Let f = -4155 + 4207. Calculate the remainder when 469 is divided by f.
1
Let x(g) be the first derivative of 2*g**2 + 23*g - 217. Suppose -l = m - 3*m - 13, -5*m + 2*l - 31 = 0. What is the remainder when 20 is divided by x(m)?
2
Suppose -15 = -3*t, 4*m = m - 2*t + 109. Let k = m - 22. Let f = -1680 + 1767. What is the remainder when f is divided by k?
10
Let a(d) = -5*d + 11. Let c = 22 - 19. Suppose v + k = 13 + 13, 0 = k - c. Calculate the remainder when a(-6) is divided by v.
18
Suppose 269979 + 9855 = 177*q + 47610. Calculate the remainder when q is divided by 642.
28
Let p(f) = -3*f**2 + 123*f + 202. What is the remainder when 224 is divided by p(42)?
72
Let m = -221 + 237. What is the remainder when 903 is divided by m?
7
Let c(b) = 17*b**2 + 63*b + 257. What is the remainder when c(-5) is divided by 25?
17
Let j(u) = u + 8. Suppose -3*q - 232 + 19 = 0. Let p = q - -109. Calculate the remainder when p is divided by j(5).
12
Suppose 2*p = 4*j - 184, 19075 = -j - 3*p + 19156. Suppose -28 = -2*k - 2*c, 0 = -0*k + 4*k - 3*c - 84. What is the remainder when j is divided by k?
15
Let t(s) = -s**3 - 29*s**2 + 28*s + 48. Suppose 4*w + 116 = -4*c, -3*w - 65 = -w - 5*c. Calculate the remainder when t(w) is divided by 55.
53
Suppose 6268 = 5*n + 207*k - 206*k, -5*n + 6277 = 4*k. What is the remainder when n is divided by 414?
11
Let i be (-3 - -26)*(19 + -18). Suppose -4*m + 66 = 2*g, 23*m - g = 21*m + i. Calculate the remainder when 45 is divided by m.
3
Let r(z) = 8*z + 141. Let w be r(-17). What is the remainder when 7 + (w + 17 - 6) is divided by 6?
5
Suppose -4*i - 4*l + 1572 = 300, -3*i = 2*l - 952. What is the remainder when 1586 is divided by i?
6
Let o = -35 - -120. Calculate the remainder when 1271 is divided by o.
81
Suppose 13436 = 17*c + 4749. Calculate the remainder when c is divided by 486.
25
Suppose 31618 - 26910 = 11*c. Calculate the remainder when c is divided by 137.
17
Let b(c) = -448*c + 136. Let i be b(-3). Suppose 817*f + i = 825*f. Calculate the remainder when f is divided by 62.
61
Let o = -31 - -44. Suppose -6*s - 352 = -5*n, 0 = -n + 12*s - 7*s + 59. Calculate the remainder when n is divided by o.
9
Let s = -36 + 61. Let l be -61 - -64 - -37*(1 + 1). Let p = l + -74. What is the remainder when s is divided by p?
1
Suppose -15*h + 484 + 416 = 0. What is the remainder when h is divided by 28?
4
Let k be (20 - 4)*3/6. Suppose 2*j - 140 = -k*j. What is the remainder when 93 is divided by j?
9
Suppose -30*h - 55*h = -7059 - 45896. Calculate the remainder when h is divided by 82.
49
What is the remainder when 1451 is divided by (-1732)/(-6) + ((-24)/(-42))/(72/(-84))?
11
Let t = -1 + 1. Let o be 10 + 230/40 - 6/(-24). Suppose 4*a - o = 2*a + 3*i, t = 3*i - 6. Calculate the remainder when 39 is divided by a.
6
Let p = -81 - -93. Let s = -6 + p. What is the remainder when 41 is divided by s?
5
Suppose -196 - 32 = -4*o. Let l be 0/(9/3)*5/5. Suppose 21*p + 204 - 834 = l. Calculate the remainder when o is divided by p.
27
What is the remainder when ((-54)/21)/((-6)/140) is divided by 34?
26
Suppose -s = a - 257, -2*s = 3*s - 2*a - 1236. What is the remainder when 277 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
c.
-1
Solve 2*f - 2*j + 5 = 3*j, 8 = -2*f + 2*j for f.
-5
Solve -2*v - 11 = -3*t - 17, 0 = -5*t for v.
3
Solve 41 = 5*c + b + 54, c - 3*b = 7 for c.
-2
Solve -2*j - 22 = -4*v, -3*v + 4*j + 17 + 7 = 0 for v.
4
Solve 5*l + 2*r - 17 = 0, 5*r + 1 = -l + 9*r for l.
3
Solve -3*w - k = -9, w - 21 = 4*k - 5 for w.
4
Solve -4*g + 36 = 4*k, 5 = -20*k + 25*k - 5*g for k.
5
Solve -3*p + 54 - 22 = -5*z, -2*z - 8 = 0 for p.
4
Solve -19*r = -20*r + 2*b + 6, -5*r = 3*b + 22 for r.
-2
Solve 4*n + 34 = 26, -5*y + 4*n - 2 = 0 for y.
-2
Solve -14 = 2*n + 6*v - 4*v, 4*v = 3*n for n.
-4
Solve -9*x = 4*i - 11*x - 22, i - x = 8 for i.
3
Solve -8*d + 4*d = 2*m + 16, -2*m - d = 1 for m.
2
Solve 2*w - 12 = q, 6*q = 9*q + 6 for w.
5
Solve -5*j = x - 4, -8*j = -5*x - 12*j + 20 for x.
4
Solve 3*s = 4*t - 17, -3*s + 20 = -7*s + 4*t for s.
-3
Solve -2*i - 14 = -2*x, 3*i - 11 = -x - 4*x for x.
4
Solve 3*p - 1 = 5*t, -17*t + 3*p + 3 = -8*t for t.
1
Solve 2*i = t + 4, 13 = 3*t + 3*i - 2 for t.
2
Solve -y - 2*v = -4, 10*y = -2*v - 9 - 23 for y.
-4
Solve -3*k = -5*z, -11 = 4*k + 2*z - 5*z for k.
-5
Solve 0*t + 10 = -4*t - h, 0 = 5*t - 4*h + 2 for t.
-2
Solve a + 20 = -5*j, -3*a = 1630*j - 1635*j - 20 for j.
-4
Solve -2*p - 5*j + 25 = 0, -48*p + 47*p - 4 = -3*j for p.
5
Solve h = 11*x - 14*x - 9, 0 = -2*h for x.
-3
Solve -k - 3*h - 15 = 0, 0 = -8*k + 4*k - 4*h - 28 for k.
-3
Solve 5 = -5*r - 5*n, -n + 16*n + 54 = -2*r for r.
3
Solve -3*l - 4*j - 2 = 0, 2*l + 26*j - 8 = 28*j for l.
2
Solve 5*f = -4*m - 5, 2*m + 129 = 4*f + 133 for m.
0
Solve 0 = 3*n + 4*t, 28*n - 32*n + 5*t = 0 for n.
0
Solve -5 = g + 4*g - 4*c, 5*c - 22 = g for g.
3
Solve 4*j = -2*p + 22, -j - 4*p + 28 = p for j.
3
Solve 0 = -5*g - s - 2, -3*g = -0*g - 2*s + 9 for g.
-1
Solve 3 = -a - a - 3*d, 0 = 2*a - 2*d + 8 for a.
-3
Solve 4*m = 33*i - 29*i - 8, 0 = 2*i - 6 for m.
1
Solve -20 = -3*b + 5*z, 87*b + 10 = 90*b + 5*z for b.
5
Solve -12*w = -16*w, 20 = -5*c + 5*w for c.
-4
Solve -2*k - 3*v = -4, -5*v - 2 = 4*k - 6 for k.
-4
Solve -2*i = -3*s + 13, -12*s + 9*s + 3*i = -18 for s.
1
Solve -3*t = -63*w + 58*w - 19, -t + 5*w = -23 for t.
-2
Solve 0 = -4*r + 4, 0 = -4*b + 2*r + 1 + 13 for b.
4
Solve -6 = 36*b - 38*b, 3*f = 3*b - 3 for f.
2
Solve 5*y = o + 23, -o - 2*o - 14 = -4*y for o.
2
Solve 1 = 17*g - 19*g - i, 0 = -2*g + 5*i - 7 for g.
-1
Solve -4*n + 2*q + 0*q = 0, -2*n - 5*q = 12 for n.
-1
Solve 0*g = -4*f - 5*g - 4, -f - 3*g - 1 = 0 for f.
-1
Solve -2*h + 6 = -5*n, -10*n + 2*h - 6 = -9*n for n.
0
Solve 2*s = 2*j + 2*j + 10, 2*j = -5*s + 25 for s.
5
Solve w - h = 3*h + 5, 2*w - 4 = 5*h for w.
-3
Solve b - 3*v - 4 = 0, 0 = b - 0*v + 4*v + 17 for b.
-5
Solve t - 105 + 111 = f, -f = -5*t - 26 for f.
1
Solve u - 14 = -31*v + 28*v, 2*v + 5*u = 18 for v.
4
Solve 0 = -2*v + 5*d + 30, -d + 11 = -2*v + 5*v for v.
5
Solve -2*q - 5*k = -1, -3*q + 68*k + 11 = 66*k for q.
3
Solve -5*v + 8*v + 5*s = -11, -v = 2*s + 5 for v.
3
Solve h - 5 = -2*l, l + 0 = 3 for h.
-1
Solve j + 4 = 3*v, -6*v = -5*v + 4*j - 36 for v.
4
Solve -20*o + 21*o = 5*c + 9, -4*c - 9 = o for c.
-2
Solve -2*o + c + 6 = 0, 28*o = 27*o - 5*c + 14 for o.
4
Solve -2*p + 14 = -5*b, -b = -5*p - 4 - 7 for b.
-4
Solve 3*c - h = 2*h, -3*c + 16 = h for c.
4
Solve -5*s - 21 = 6*n - 4*n, -14 = 3*n + 4*s for n.
2
Solve -2*g = 3*l, 5*l = g + 4*l + 5 for g.
-3
Solve -17 = -0*t - 4*t - 3*u, u - 3 = 0 for t.
2
Solve -3*d - 4*w = -d + 22, 8 = -d - w for d.
-5
Solve 4*s = 4*v + 3*s - 16, -2*v = -s - 6 for v.
5
Solve -g + 14 = 5*v, 4*v - 2*g - 8 = 6 for v.
3
Solve -7 = 4*k - 4*v - v, k = 3*v - 7 for k.
2
Solve v + 25 = 5*t, 0 = -5*v - 5*t - 7 + 32 for v.
0
Solve d + v - 4*v = -16, 3*d = v - 16 for d.
-4
Solve -29*h + 27*h = 2*n - 4, -3*n = -h + 14 for h.
5
Solve 17 = w + 4*n, -4*w + 5*n + 4 = -1 for w.
5
Solve 4*u - 3*x - 4 = 0, 0*x = -3*u - 5*x + 3 for u.
1
Solve 2*t - 6 = 4*j, 3*j - 5*j - 10 = 6*t for t.
-1
Solve 2*v = -6*a + 3*a + 9, 2*v + 31 = 5*a for v.
-3
Solve -3*o + 44 = -2*a + 51, 3*o + 19 = -a for a.
-4
Solve 3*i - 28*r = -24*r - 23, 4*i + r = 1 for i.
-1
Solve -4 = -5*t + o, 30*o - 4 = 31*o for t.
0
Solve 2*a - 32 = 3*d, -2*a - 3*d - 18 = -2 for a.
4
Solve -w + 5 = -d + 2*d, -5*d - 4*w + 20 = 0 for d.
0
Solve 0 = 5*y + 2*d - 5*d + 9, -6 = 4*y - 3*d for y.
-3
Solve -3*k - 11 = 2*q + 8, 0 = -10*q - 20 for k.
-5
Solve -4*j = 2*l + 4, 2*l + 7*j - 4*j + 4 = 0 for l.
-2
Solve u - 4*a = -10, 12*u - 5*a = 7*u - 5 for u.
2
Solve 5 = -3*l - 6*f + 5*f, 2*l + 5*f = 14 for l.
-3
Solve 0 = 5*t - 3*k + 7, 0*k - 1 = k for t.
-2
Solve -14 = -4*v - 3*o + 8, 5*v - 14 = 3*o for v.
4
Solve 4*m = 4*t + m - 11, -2*t + 5*m - 5 = 0 for t.
5
Solve t = 5*z - 24, 2*z - z = 4*t + 20 for t.
-4
Solve 4*t - 2*t - 3*n + 9 = 0, 4*t = -3*n + 27 for t.
3
Solve 0 = -2*q - p - 2 + 4, 5*p = 4*q + 24 for q.
-1
Solve u = -h - 7 + 1, 2*h - 5*u - 2 = 0 for h.
-4
Solve -2*c + 6 = 0, 0*c = 5*b + 4*c - 27 for b.
3
Solve 5*i + 15 = 2*f, -3*f - 6 = 2*i - 2*f for i.
-3
Solve -1 = -u + h + 3, 0 = -3*u + 2*h + 10 for u.
2
Solve -33*u = 4*v - 35*u - 10, -13 = -4*v + 3*u for v.
1
Solve 2*b - 4*r = 1 - 11, 0 = 5*b - 2*r + 17 for b.
-3
Solve 0 = m - 4, v + 64*m = 59*m + 20 for v.
0
Solve -4*f + 10 - 18 = 0, -x = -3*f - 7 for x.
1
Solve -4*g = 4*o + 4 - 0, -5*o = -5*g + 25 for g.
2
Solve 4*t - t - 2 = -5*o, 5*o - 4 = -t for t.
-1
Solve 3*v = -2*w - 3, 5 = 4*w - 10*v + 5*v for w.
0
Solve 0 = -5*n - 5*g + 30, 5*g + 1 - 21 = 5*n for n.
1
Solve 3*a - 16 = -5*w, 2*w - 5*w = -15 for a.
-3
Solve -l - l + 6 = 5*s, 2*s - 12 = 4*l for s.
2
Solve 4*j = 12, 0*j + 3*j = -4*y + 9 for y.
0
Solve -4*x - 4 = -2*h + 2, -5*h = x + 18 for x.
-3
Solve 4*k - 26 = -4*i - 38, -12 = -k + 2*i for k.
2
Solve -2*l - 5 + 13 = -w, -4*w - 4*l = 8 for w.
-4
Solve -2*t + 2*x - 9 = -x, 2*t + 15 = 5*x for t.
0
Solve 2*g + 2*k - 1 = g, 3*k = -6 for g.
5
Solve 2*r = -3*z - 17, -4*r = 2*z - 2*r + 12 for z.
-5
Solve -4*h - 2 = 2*i, 2*h + 6*i - 8 = 8*i for h.
1
Solve -5*x - 4*g - 5 + 7 = 0, -2*g = 4 for x.
2
Solve -10*u - 4 = 2*y - 13*u, 6*u - 3 = 3*y for y.
-5
Solve 4*y + 4 = -5*v + 8*v, 4*y + 8 = 4*v for v.
4
Solve 3*g + 23 - 10 = -r, -5*r = -3*g - 25 for g.
-5
Solve 0*p + p + 3*x - 13 = 0, 2*x + 10 = 4*p for p.
4
Solve 5*d + w = -167 + 168, 0 = -3*d - w + 1 for d.
0
Solve -3*j - 5*x = -j - 5, -5 = -5*x for j.
0
Solve -13 = 5*m + 3*d, 3*d - 4 = 7*d for m.
-2
Solve 3*c + 12 = -t, 3*t + 107*c + 8 = 105*c for t.
0
Solve -36*h + n + 9 = -35*h, 0 = -3*n - 12 for h.
5
Solve -2*w = 0, 4*q - 8*w + 6*w + 4 = 0 for q.
-1
Solve -81*q = -5*t - 79*q + 20, 0 = 2*q for t.
4
Solve -2*b = -4, 8*a - 5*a = b - 8 for a.
-2
Solve 0*b = -2*b + 4*r + 6, 0 = 4*b + 2*r + 18 for b.
-3
Solve y + 13 = 4*l + 6*y, l - 2*y = 0 for l.
2
Solve -2*o = -2*j, -4*j + 18 = 4*o - 2*o for j.
3
Solve 3*u = -3*x + 4*x + 8, 2 = x + 2*u for x.
-2
Solve 2*a = 2*o - 2*a - 16, -3*o = -3*a - 18 for o.
4
Solve -5*c = -k - 25, 0*k = 2*c + 5*k + 17 for c.
4
Solve -5*g - 3 - 1 = -3*n, -5*g - 16 = 3*n for g.
-2
Solve -55*c + 50*c = -20, 4*o - 2*c + 24 = 0 for o.
-4
Solve 0 = -4*z - 2 + 22, -2*z + 9 = g for g.
-1
Solve -2*g - 5 = k + g, 0 = -5*k + 4*g - 6 for k.
-2
Solve y + 5 = -4*l, -3*y + l - 450 = -435 for y.
-5
Solve 3*y + 2*i + 79 = 54, 15 = -3*i for y.
-5
Solve -17 = 4*h + v, 3*h + 162*v = 165*v - 24 for h.
-5
Solve -4 = -4*l - 4*o, 3*l = 6*o - 2*o + 31 for l.
5
Solve -w = -4*h - 1, 9*h - 2*w = 8*h + 12 for h.
-2
Solve 3*n = -5*g + 2, 11*n - 9*n + 2 = -5*g for g.
-2
Solve 0 = -i - 4*u + 2, 5*i - 4 + 9 = -5*u for i.
-2
Solve 2*i = 7*o - 35, 3*o + i = 56 - 41 for o.
5
Solve 0 = -3*a + 2*w - 4, 2*a = 2*w - 18 + 12 for a.
2
Solve g - 7 = 2*d, -d - d = -4*g + 22 for d.
-1
Solve 3*j = -3*r, -2*j + 6 = -r - 0*r for j.
2
Solve 3*z = -3*t + t - 23, -5*z - 21 = -t for t.
-4
Solve v = -3*j - 7, 3*j = -10*v + 11*v - 5 for v.
-1
Solve 21*n - 3*u = 18*n, 4*n = 2*u + 4 for n.
2
Solve 10 = -4*j + 3*t - 0, 10 = 5*t for j.
-1
Solve -7*h = -10*h - w - 13, -h - w = 3 for h.
-5
Solve m + 30 = -4*i + 17, -i - 27 = 5*m for m.
-5
Solve 0*n + 4*o = -4*n - 12, o - 1 = n for n.
-2
Solve 0 = 2*w - 3*u - 2*u + 2, -7*w + 2*u = 7 for w.
-1
Solve 2*v + 33 = -5*f, 2*f + 14 = -v - 0 for v.
-4
Solve -7*v = -5*i + 22, 4*i - 9 = i for v.
-1
Solve 16*b = 20*b + 2*i + 12, -2*i = -2*b for b.
-2
Solve -5*j = -4*n + 32, 5*n - 27 = 4*j + 4 for
|
{
"pile_set_name": "DM Mathematics"
}
|
m. Calculate the remainder when 2/3 + (-426)/(-9) is divided by r.
14
Suppose 11*p - 203 = 4*p. What is the remainder when 79 is divided by p?
21
Let v(f) = -f**3 + 10*f**2 + 8*f - 38. Let r be v(11). Let h = r + 78. Let c = -6 - -11. What is the remainder when h is divided by c?
2
Suppose 8*y + 38 - 190 = 0. Calculate the remainder when 74 is divided by y.
17
Let y = -161 + 230. Calculate the remainder when y is divided by 26.
17
Let i = 763 - 739. Suppose o = 6*o - 25. Calculate the remainder when i is divided by o.
4
Let u(l) = -5 - 2*l**3 + 15 + 4*l**3 + 2*l + 1 - 7*l**2. What is the remainder when u(4) is divided by 14?
7
Let h be 5 - 2 - (-3 - -6). Let s be 108/12 + -3 + h. What is the remainder when 63/6*32/s is divided by 15?
11
Suppose 0 = v + 3, 4*v + 3536 - 279 = 5*o. What is the remainder when o is divided by 31?
29
Let o = 1089 - 745. What is the remainder when 88 is divided by o/19 - 28/266?
16
What is the remainder when 13*(-7 - (12 + -42)) is divided by 12?
11
Let t = 38 - 31. Let h(q) = 2*q**2 + 27*q + 12. What is the remainder when h(-14) is divided by t?
5
Let r(y) = -y**2 - 7*y + 10. Let w be r(-8). Suppose -w*x = x - 60. Suppose 3*t + t = x. What is the remainder when 18 is divided by t?
3
Let n be (4/8)/((-2)/24). Let o(f) = -154*f - 94. Calculate the remainder when o(-1) is divided by 3/(n/(-22)) + -2.
6
Let c = -34 - 3. Let f = 58 + c. What is the remainder when f is divided by 6?
3
Let y = -14 + 19. Suppose -5*a - 90 = d, d - 42 + 6 = 2*a. Calculate the remainder when ((-63)/(-6))/(-7)*a is divided by y.
2
Suppose -h = -5*h. Suppose a - 3*a - 3*x = h, 4 = -2*x. Suppose -r + 2*y = -a*r + 82, -20 = -5*y. What is the remainder when r is divided by 19?
18
Suppose 4*f + 0*f = 8. Suppose -f*z - 32 = -4*a, z = -5*a - 3*z + 66. Calculate the remainder when 19 is divided by ((-1)/(-2))/(a/220).
8
Suppose -5*g + 11 = -0*w - w, 3*g - 57 = -5*w. Suppose -5*o + o - 3 = 3*m, -2*m + w = -o. Let p = 2 + 3. What is the remainder when p is divided by m?
2
Suppose 5*i - 103 + 73 = 0. Suppose 5*b - q = -i*q + 180, -b = 3*q - 46. Calculate the remainder when b is divided by 16.
15
Let x = 232 + 107. What is the remainder when x is divided by 116?
107
Let z(d) = -6*d + 34. What is the remainder when 162 is divided by z(2)?
8
Let r = -34 + 63. Suppose -2*n = -m + 5 + r, -3*m = 4*n - 112. What is the remainder when 105 is divided by m?
33
Calculate the remainder when ((-77)/3)/((-149)/447 - (0 + 0)) is divided by ((-2)/10 - -1)*20.
13
Suppose -19*k + 15*k = -1560. Calculate the remainder when k is divided by 67.
55
Suppose 0 = n + c + 3, -2*n - 3*c = -6*c - 19. Suppose n*w + 8 = 84. Suppose -4*j + 44 = -f, -2*f - 28 = -j - j. What is the remainder when w is divided by j?
8
Let w(p) = -3*p**3 - 12*p**2 - 26*p + 9. Calculate the remainder when w(-4) is divided by 60.
53
Let z = 823 + -755. Calculate the remainder when z is divided by 19.
11
Suppose -33*h + 58*h = 20875. Calculate the remainder when h is divided by 93.
91
Suppose 9 = 2*f - 9. Suppose f*a = 4*a. Suppose 5*w - 15 = a, 3*i = 5*i + w - 45. What is the remainder when i is divided by 11?
10
Let g = -50 - -178. Calculate the remainder when g is divided by 28.
16
Let q be ((0 - -1) + 3)*(9 + -11). What is the remainder when (-87)/q*10 - 1/(-4) is divided by 55?
54
Calculate the remainder when (-8103)/185*(-4)/(8/30) is divided by 23.
13
Let v(s) = -6*s**2 + 106*s + 39. What is the remainder when 185 is divided by v(18)?
2
Let m(z) = -2*z**3 + 20*z**2 - z + 25. Calculate the remainder when 87 is divided by m(10).
12
Let r(l) = 137*l**2 + 8*l + 7. Calculate the remainder when r(-1) is divided by 24.
16
Let b = 39 + -23. What is the remainder when 93 is divided by b?
13
Suppose -l = b + 11, -l + 0*l = -4*b - 14. Calculate the remainder when (-21)/(-14) - 93/l is divided by 5.
2
Suppose -7*j + 14 = -7. Suppose 0 = t - j. What is the remainder when 4 is divided by t?
1
Calculate the remainder when 8 - (1 + -4) - -798 is divided by 30.
29
What is the remainder when 579 is divided by (-3)/15*110*(-7)/14?
7
Suppose 2*m = 3*m + 5. Let y(o) = o**3 + 6*o**2 + 3*o + 2. What is the remainder when 45 is divided by y(m)?
9
Let f(h) = h**2 - 4*h - 17. Let m be 28*(3 + (-10)/4). Let b be f(m). Suppose 7*y - b = 4*y. What is the remainder when y is divided by 15?
11
Let u be (-20)/(-50) - (-46)/10. Suppose -9 - 52 = -3*g - 2*l, 5*g - 110 = -u*l. What is the remainder when 64 is divided by g?
13
Let h(w) = 6*w - 15. Let j be h(6). Suppose 0 = 3*g - 0*g - j. Suppose 5*i - 2*v - 128 = -3*v, 2*v = -2*i + 56. What is the remainder when i is divided by g?
4
Suppose 2 = -3*n + n, -105 = -5*r - 5*n. Let w = 41 - r. Suppose y + 0*k + 2*k - w = 0, -5*y + 88 = 3*k. Calculate the remainder when y is divided by 10.
7
Let m be (3 - 6/4)*4. Suppose m*n = 3*n + 225. Suppose -5*u = 5*l - n, 60 = -0*u + 4*u + 3*l. Calculate the remainder when 43 is divided by u.
13
Suppose 8*s - 572 = 532. Suppose -13*k - s = -16*k. Calculate the remainder when k is divided by 6.
4
Let m be (22/4)/((-10)/20). Let o = 100 - m. What is the remainder when o is divided by 38?
35
Suppose 7 = f + a - 0*a, -4*f + 2*a = -46. Calculate the remainder when 22 + -15 - (-39 + -1) is divided by f.
7
Let n(m) = m**3 - 8*m**2 + 11*m + 7. Let t be n(8). Suppose 3*o - 82 = t. What is the remainder when o is divided by 30?
29
Suppose -k = 3*k + 544. Let a = k - -198. Let n = 64 + -43. What is the remainder when a is divided by n?
20
Suppose -m - 4*m + 50 = 0. Suppose 0 = -4*j - g - 3, 4*g - 4 = 16. Let p = m + j. Calculate the remainder when 29 is divided by p.
5
Let g = 59 + -29. Calculate the remainder when 1/3 - (-3883)/33 is divided by g.
28
Suppose 168 = -4*a + 200. What is the remainder when 142 is divided by a?
6
Let d(j) be the first derivative of -55*j**4/4 + j**2/2 + j + 8. Let g(x) = -2*x + 3. Let i be g(2). Calculate the remainder when d(i) is divided by 19.
17
Let x be 3/(-12) - 386/(-8). Let q = x - 43. Calculate the remainder when 8 is divided by q.
3
Suppose 3*a = -6, -g - 3*a + 16 = g. What is the remainder when ((-95)/(-15))/((-15)/(-90)) is divided by g?
5
Let r(h) = -h**2 + 9*h - 14. Let d be r(7). Suppose d*a + 59 = 3*z + 4*a, -3*a - 12 = 0. Calculate the remainder when z is divided by 13.
12
Suppose 9*a - 400 = -85. Calculate the remainder when a is divided by 12.
11
Let j = -179 + 188. Suppose 18 + 7 = 5*n. What is the remainder when j is divided by n?
4
Calculate the remainder when 2016/105*(-10)/(-9)*6 is divided by 24.
8
Let z = 471 + -233. What is the remainder when z is divided by 10?
8
Suppose -2*v = -6*k + 7*k - 17, 4*v + 66 = 2*k. Calculate the remainder when 85 is divided by k.
10
Let c be (-4)/(-3)*(-9)/(-6). Suppose 2*n - 7 = -d + 3, 3*n - 5*d = c. Calculate the remainder when n is divided by 4.
0
Let f(j) = j**3 - 24*j**2 + 2*j - 34. Let o = -22 - -46. What is the remainder when 1/2 - (-309)/6 is divided by f(o)?
10
Let x = 402 - -234. Let m = x + -1000. Calculate the remainder when 25 is divided by (m/(-8))/7*2.
12
Let i(j) = -2*j**2 + 10*j + 3. Let q be i(5). Suppose -4*r + 2*k + 42 = -3*r, q*r - 3*k = 138. Calculate the remainder when r is divided by 17.
16
Let y(k) = k**2 + 24*k + 36. Let c be (-1)/4 + 14*39/(-24). Suppose -5*f + 4*f - 4*a = 4, 5*f + 5*a - 25 = 0. Calculate the remainder when y(c) is divided by f.
5
Let l(n) be the first derivative of n**3 - n**2 + 6*n + 1. Let s(t) = -44*t + 452. What is the remainder when l(4) is divided by s(10)?
10
Suppose 357 = -685*s + 692*s. What is the remainder when 151 is divided by s?
49
Suppose -5 = -m + 3. Suppose 0 = -m*k + 3*k + 585. Let r = 27 - 3. What is the remainder when k is divided by r?
21
Suppose 3*c = -7*s + 9*s - 101, -s + 53 = -c. What is the remainder when 635 is divided by s?
55
Let t(d) = 17*d - 520. Suppose -4*h = 31 + 69. Let n = h - -52. Calculate the remainder when n is divided by t(31).
6
Calculate the remainder when (-1)/((-66)/55) - 2270/(-12) is divided by 29.
16
Suppose -8*h - 6 = -11*h. Calculate the remainder when 20 is divided by (h + (-22)/(-4))*2/3.
0
What is the remainder when 142 is divided by 348/9 + (22/(-33) - 1)?
31
Suppose 0 = 3*j + 2*j + 5. Let v(x) = -x - 1. Let n be v(j). Suppose n = u - 6*u + 70. What is the remainder when 25
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 0.063 (b) -1 (c) -2222 (d) 3
d
Which is the seventh biggest value? (a) -1 (b) 0.58 (c) 0.5 (d) 2/11 (e) -330 (f) 0.1 (g) 0
e
What is the third biggest value in 19, 0.09, -1/4, 0.1, 3/61?
0.09
Which is the fourth biggest value? (a) -26 (b) -0.2 (c) -22.4 (d) -6326
d
Which is the second biggest value? (a) -2/839 (b) -47 (c) 120
a
What is the second biggest value in 0.5, -2, -5, 41/5, -4, -0.1, -0.02262?
0.5
Which is the fifth biggest value? (a) 2 (b) 2/5 (c) 2/3 (d) -116/9 (e) -4 (f) -105
d
Which is the second biggest value? (a) 95 (b) 39 (c) -2 (d) 61
d
Which is the fourth biggest value? (a) -4 (b) 1/3 (c) -1/8220 (d) -55
d
Which is the smallest value? (a) -1/4 (b) 0.2 (c) -2/679 (d) -4/3 (e) -1/113
d
Which is the smallest value? (a) 2/3 (b) 825 (c) 292 (d) 3
a
Which is the third biggest value? (a) -1329/5 (b) 0 (c) 418 (d) -22
d
What is the sixth smallest value in -0.5, 2/11, 33.5, 1/6, -0.1, -4/7?
33.5
What is the second smallest value in 5, 13, -4214/4355?
5
What is the fifth smallest value in 3/4, 1.8, 2, 3, 19, 4/2711?
3
Which is the fourth smallest value? (a) 1/56 (b) -347/3 (c) -0.12 (d) -5
a
Which is the fourth biggest value? (a) 150 (b) 0.4 (c) 215 (d) 4
b
Which is the third smallest value? (a) -154 (b) 1 (c) -1/2 (d) 24 (e) 4 (f) -5
c
What is the biggest value in 66, -2/197, 3/7, -0.4?
66
Which is the second biggest value? (a) -40/531 (b) 0.4 (c) -17/5 (d) -1/4
a
Which is the third smallest value? (a) -0.121 (b) 14 (c) 53 (d) 2 (e) -3
d
Which is the third smallest value? (a) -2 (b) 0 (c) -129.926 (d) -1
d
Which is the smallest value? (a) 69/4 (b) 5 (c) 1.2 (d) -15 (e) -1.5
d
Which is the fifth smallest value? (a) 2 (b) 0.0756 (c) -2 (d) 5 (e) -1/4 (f) -2/901 (g) 6
a
Which is the third biggest value? (a) -165/59 (b) -0.3 (c) 5/2 (d) 109
b
What is the third biggest value in -0.11713, 3.96, 0?
-0.11713
What is the second smallest value in -533, -2.531, 0.1, 4?
-2.531
Which is the biggest value? (a) -39/379 (b) -16/7 (c) 9
c
What is the smallest value in 0.2, 0, -41006, -6?
-41006
What is the second smallest value in -33, 5/4, -3, 0.75, 15/8, 7?
-3
What is the fourth smallest value in -3, 55, -10, -224, 5?
5
What is the third smallest value in -4, 2/7, 0, -5197, -5?
-4
What is the smallest value in -16/7, 22/13, 876?
-16/7
Which is the smallest value? (a) 18545/2 (b) 4/3 (c) -11 (d) -4
c
Which is the smallest value? (a) -0.1 (b) -1 (c) 0 (d) -2 (e) -62.52
e
What is the second smallest value in -1/5, 3, 23, -0.5, 3/5, -775?
-0.5
What is the third smallest value in -1.1824, 4/3, -2, 0, 3/5, 1/4?
0
Which is the fifth biggest value? (a) 72 (b) 1 (c) -5 (d) 5/3 (e) -4 (f) -23/12
e
What is the smallest value in 213, 18, -140/3, 0?
-140/3
Which is the second smallest value? (a) -2/7 (b) 4 (c) -1080 (d) 525
a
Which is the fourth biggest value? (a) -5 (b) 0.09 (c) 3/4 (d) 18/5243 (e) 3
d
What is the fourth biggest value in -2701999, -1/8, 4, 0.4?
-2701999
Which is the third biggest value? (a) 2/19 (b) -4 (c) -2 (d) -3/8 (e) -427.5
c
Which is the sixth biggest value? (a) -0.7 (b) -1 (c) 12 (d) -110 (e) 2.4 (f) 3/5 (g) -4
g
Which is the fourth biggest value? (a) 32819.14 (b) 1 (c) 3 (d) 2/3
d
Which is the second biggest value? (a) -0.5 (b) -47875011 (c) 0
a
Which is the biggest value? (a) -16/5 (b) 0 (c) 0.2 (d) 6 (e) -2/7 (f) -0.3 (g) 3/10
d
What is the third biggest value in -171, -5, -0.37, -6/11, -1?
-1
Which is the smallest value? (a) 3/50 (b) -0.81 (c) -665
c
Which is the smallest value? (a) 1 (b) 2/1223 (c) 1/7
b
What is the third biggest value in -3, 3/2, 138668, -5?
-3
Which is the second smallest value? (a) 928 (b) -1/6 (c) 0.4 (d) -2/7
b
What is the fifth smallest value in -2/13, -3, 5, -2, 30, 453?
30
What is the smallest value in 3/46, -4291, -7?
-4291
What is the second biggest value in -179942, -2, -19?
-19
Which is the third biggest value? (a) -0.402 (b) 92 (c) 9.2 (d) 3
d
Which is the sixth biggest value? (a) 1.43 (b) -1 (c) -6 (d) 10 (e) 3/5 (f) 3
c
Which is the smallest value? (a) -0.945 (b) 1/20 (c) 2/15 (d) -0.11 (e) 0
a
What is the second smallest value in 8414, 0.4, -0.05, -2.72, -4?
-2.72
What is the smallest value in -0.05262, 2, -6/13, 69?
-6/13
Which is the third smallest value? (a) 158 (b) 13 (c) -539
a
What is the second smallest value in 1, -0.6, -0.2, 440.73?
-0.2
Which is the second biggest value? (a) -8 (b) -6 (c) -354427
a
What is the fourth smallest value in 696, -0.3, -0.44, 2/9, -11?
2/9
Which is the third biggest value? (a) 48 (b) -996/7 (c) 22 (d) 4/5 (e) 3/5
d
Which is the second smallest value? (a) 9134 (b) 6/5 (c) -445 (d) -1 (e) 1
d
What is the second smallest value in 0.1608, -2, -13, 11, -31, -1/2?
-13
What is the second biggest value in -234, 1/7, 240909?
1/7
Which is the smallest value? (a) 91 (b) -601 (c) -1 (d) 1.3 (e) -3/10 (f) -2 (g) 5/6
b
What is the smallest value in -2182.7, -1, -29/14?
-2182.7
What is the fifth biggest value in 0.9, 1, 50, 0, 0.56?
0
What is the sixth smallest value in -2, 0.4, 1, -11/8, -29, 0.3, 0.5?
0.5
What is the fourth biggest value in 0.0438, -0.3, -58, -0.04, 6?
-0.3
What is the smallest value in -0.3, -9, 11/2, -1, -1/3, 5?
-9
What is the second smallest value in 0.18, -11, 43, -1/2, 0.25, 2/3, 1?
-1/2
Which is the second biggest value? (a) -0.2 (b) -146298 (c) -3 (d) 2.99 (e) -0.3
a
What is the third smallest value in 4, 0.3, 476.62167?
476.62167
Which is the biggest value? (a) -79 (b) 0.3 (c) -2/15 (d) 2342
d
What is the second biggest value in -2/15, -0.5, -6/7, -19, 21/38?
-2/15
What is the seventh smallest value in 15, -4/3, -3201, -0.3, -2, -5, 5?
15
What is the third biggest value in 367, 113, -3/20?
-3/20
Which is the third smallest value? (a) 14 (b) -6 (c) 1 (d) -2.5051 (e) -0.01
e
Which is the fifth biggest value? (a) -2/3 (b) 0 (c) -4 (d) 1 (e) 1309 (f) -1/10
a
What is the smallest value in -1.68, -88, -4, 0.01, 0, -2/5?
-88
Which is the seventh biggest value? (a) 0 (b) -3 (c) 1 (d) 7 (e) 2.4 (f) 5 (g) 4.9
b
What is the second smallest value in -3716, -2/17, 269?
-2/17
What is the sixth smallest value in 4, 8, 0.2, 0.5, -1, -11, -0.19?
4
Which is the third biggest value? (a) 4 (b) -0.2 (c) 5 (d) 569 (e) -393
a
What is the fourth smallest value in -31, -632, -9, 1, -14, -0.5?
-9
What is the sixth biggest value in -195/2, 5, 0.09, 4, 5/3, 1?
-195/2
Which is the biggest value? (a) -2.4 (b) -101 (c) -5 (d) 3/7 (e) 8/25 (f) 3/2 (g) 0.4
f
Which is the fourth biggest value? (a) 0.11 (b) -4/3 (c) 0.167517 (d) -3
d
Which is the second biggest value? (a) -1/7 (b) -0.5 (c) 1/5 (d) 7/6 (e) 78637/12
d
What is the second biggest value in 0.1, 14753.3, 13?
13
What is the sixth biggest value in 5/4, 0.2, -12/5, -2, -0.2, -522, 10?
-12/5
Which is the biggest value? (a) -2.3 (b) 15 (c) 0.1 (d) -5 (e) -4 (f) -7 (g) 5/8
b
What is the sixth smallest value in -214.3, -2/37, -0.4, 10/17, 0.3, -5, -1?
0.3
Which is the second biggest value? (a) 10228042 (b) -0.011 (c) 0.1
c
Which is the third smallest value? (a) 1 (b) -0.4 (c) -5 (d) -0.2238591
d
Which is the biggest value? (a) 13 (b) -18661 (c) -35/3
a
Which is the third biggest value? (a) -4 (b) 0.376 (c) -934
c
Which is the third biggest value? (a) 1 (b) -0.176 (c) 1080143 (d) 2
a
Which is the biggest value? (a) -1653 (b) -2/17 (c) -39 (d) 1 (e) 1/7
d
What is the biggest value in 0.5, 1/6, -0.3, -1377.2, 3, 1.1, -5?
3
Which is the fourth biggest value? (a) -2/5 (b) 0.19 (c) 4.82 (d) -77/8
d
What is the fourth smallest value in -4, 2238/121, 1/2, 0.16, 1/3?
1/2
Which is the smallest value? (a) -4 (b) -179/1327 (c) -0.1 (d) -6/17
a
What is the second smallest value in 0.3, -2/753, 2, -3/4, 42.86?
-2/753
What is the second smallest value in 1/4, -1/3, -421321, 4/29?
-1/3
What is the fifth biggest value in -25/2, -3, -68, -3/7, 8, -0.2?
-25/2
Which is the fifth smallest value? (a) -1/4 (b) -2/5 (c) 70 (d) -0.041 (e) 1 (f) 1.2
f
What is the smallest value in 9, -0.358, 5402?
-0.358
Which is the fifth biggest value? (a) -5 (b) -41 (c) 1 (d) 9/4 (e
|
{
"pile_set_name": "DM Mathematics"
}
|
biggest value? (a) z (b) 7 (c) -1/6
a
Let u = -89 - -92. Which is the biggest value? (a) -9 (b) -2/5 (c) u
c
Suppose 9*y = 2*q + 4*y - 9, -4*q = 4*y - 32. Which is the third biggest value? (a) q (b) 2/21 (c) -1 (d) 3/4
b
Let p = 448 - 421.3. Let j = p + -27. Suppose -d - 3*u = 14, d = -4*d - 2*u - 31. What is the third biggest value in j, 0.3, d?
d
Let q = -28.1 - -24.1. Let t be (-12)/(-16)*2/(-12). What is the second biggest value in t, 2, q?
t
Let t be 9/3 + 317/(-116). Let n = t + -1/58. Let v be (-10)/12 + (-2)/(-2). What is the third biggest value in v, -2, n?
-2
Let z = -146 - -144. What is the third biggest value in 9/4, z, 2/11?
z
Let m = -5.4 - -5. Let r(h) = -h**2 + 6*h + 4. Let u be 61/9 - 20/(-90). Let p be r(u). Which is the third biggest value? (a) 5 (b) m (c) p
c
Let r = 1.49 - 1.89. Let z be (-1)/4*(-3 - -1). Let q be (-6)/24 - 18/8. Which is the third smallest value? (a) r (b) z (c) q
b
Let y = 0.06 + 6.04. Let z = 3.3 - y. Let d = z - -2.4. Which is the biggest value? (a) -0.3 (b) -1 (c) d
a
Let j = 244 + -493/2. What is the fourth biggest value in 0.2, j, 1.6, -3?
-3
Let j = 0.435 - 0.035. Let l = -0.02 - 0.13. Let g = -0.05 - l. What is the biggest value in -3, j, g?
j
Let t = -469 - -471. What is the second smallest value in 1, t, 0.05?
1
Suppose -2*f + 2 = -2. Suppose f*b = -4 - 2. What is the biggest value in b, 0.4, 6?
6
Let w = -58989 - -59001. Let h = 75.01 - 77. Let a = h + -0.01. What is the smallest value in a, w, -5?
-5
Let g = 93 - 87. What is the smallest value in -0.05, -0.2, 1/2, g?
-0.2
Let p = -76.4 - -77. Let w be -3 + (-4)/((-180)/129). Which is the third smallest value? (a) w (b) p (c) -4
b
Let l = -244 - -242. What is the third biggest value in l, -1/11, 2/5, 2?
-1/11
Let o = 10 - 8.2. Let f = -49 + 48.2. Let w = o + f. What is the third biggest value in w, -5/6, 2/5?
-5/6
Let g be (-29)/435*(-5)/2. Which is the biggest value? (a) g (b) 0.3 (c) -22
b
Let a = -158/15 + 31/3. What is the smallest value in 1/3, -5, 1, a?
-5
Let j = 0.1 - 0. Let w = 5.7 + -6. Let v = -2.7 + w. Which is the biggest value? (a) 5/2 (b) v (c) j
a
Let w = 0.782 - 0.607. What is the third biggest value in w, -3, 0.3?
-3
Let k = 4.2 - 4. Let r = -128 + 128.3. Which is the second biggest value? (a) 0.5 (b) r (c) k
b
Let n = 0.139 + 0.861. Which is the second smallest value? (a) 96 (b) 0 (c) -2/5 (d) n
b
Let w = -1170 + 1169.9. Let x = 3/26 + 63/130. Which is the smallest value? (a) 1/3 (b) x (c) w
c
Suppose -10 = -3*c + 2*c + 2*x, -c = -5*x - 25. What is the smallest value in 2/11, c, -4?
-4
Suppose 0 = -55*v + 64*v + 243. Which is the second smallest value? (a) -0.3 (b) 2 (c) v
a
Let f = -15360 - -15361. Suppose -3*u = -2*u - 3. Which is the smallest value? (a) u (b) -0.39 (c) -4 (d) f
c
Let o = 0.3 - -0.2. Let g = -20.31 - 0.69. Let v = g + 17. Which is the biggest value? (a) v (b) 0 (c) o
c
Let s = -17 + 16.6. Let x be (2/120)/(4 + (-72)/20). Which is the biggest value? (a) 0 (b) s (c) x (d) 0.1
d
Let v = -58.8 - -63.8. What is the third biggest value in v, 38, -0.4?
-0.4
Let o be 47*(-7)/49 - -8. What is the biggest value in -0.3, o, 0.17?
o
Let h = -693 + 700. Which is the smallest value? (a) h (b) 3 (c) -3
c
Let s = 885.8 + -886. What is the smallest value in 6, 1, s, 21?
s
Let v = 157 + -158. Let t = -0.054 - -4.054. Which is the fourth smallest value? (a) -3/5 (b) v (c) 8 (d) t
c
Let w = -7 + -1. Let o be (w/(-26))/(2 + 0). Suppose 0 = 12*r - 15*r - 12, 13 = k - 3*r. Which is the third biggest value? (a) k (b) 0.5 (c) o
c
Let d = 0.322 + -0.322. Which is the biggest value? (a) d (b) 0.3 (c) 2
c
Let u = -437 + 442. What is the third smallest value in u, -74, -3/4?
u
Let f = -27/2 + 40/3. Which is the third biggest value? (a) 0.02 (b) -3 (c) f
b
Suppose 0 = -5*y + g + 12, 21*y - 24*y + 18 = 3*g. Which is the second smallest value? (a) 9 (b) -3 (c) y
c
Let p = -1.1 - -4.1. Let y = -0.095 - 0.005. What is the third smallest value in y, 4, p?
4
Suppose 2*s + 14 = 3*z, -4*z + s + 20 = -2*s. Suppose 3*n = z*o + 8, -5 = -n - n + o. What is the biggest value in -1/6, -1, n, -12/11?
n
Let q = 3.98 - 4. Let x = -0.08 + q. Let y = -0.004 + 2.004. Which is the second smallest value? (a) 2/3 (b) y (c) x
a
Let l = 123.79 - 123. Let p = -1.09 + l. Which is the second smallest value? (a) 7 (b) -3 (c) p
c
Let q = 4 + -3.9. Let b = 0.188 - 0.388. What is the third biggest value in -1/12, b, q?
b
Let z be 0 - 0/(5 - 3). Let t(m) = m + 2. Let n be t(z). Let g = -3/56 - 25/56. What is the third smallest value in g, n, 4?
4
Let y be (-27)/429 - (-22)/143. What is the smallest value in -2, y, -1/2?
-2
Let o = 20/13 + -179/91. Which is the second smallest value? (a) o (b) 17 (c) -2/5
c
Let i = 1.8 + 0.2. Let x = 63 - 58. Let u = x - i. Which is the second biggest value? (a) -3 (b) 4 (c) u
c
Let c = -0.07 + -3.93. Let u be (5 - 2)*-1 + 1. What is the second biggest value in 0.01, c, u?
u
Let z = -49 + 93. Let m be 21*1*((-30)/(-27) + 1). Let l = z - m. Which is the third smallest value? (a) l (b) 3 (c) 0.3
b
Let l = -1310 + 1305. What is the second smallest value in 5/6, -7, l, -2?
l
Let j = 44149/29430 + -2/14715. Let y = -0.8 - -1. Which is the biggest value? (a) j (b) -5 (c) y
a
Let r = 37/488 + 3/61. Let l be ((-7)/7)/(1 - 4). What is the second biggest value in r, l, -1/5, 1/2?
l
Let v = 3.55 - 0.45. Let l = v + -3.5. Which is the third smallest value? (a) 2 (b) -1 (c) l (d) 0
d
Let q be (-36)/198 - ((-56)/33)/2. What is the second smallest value in 2/27, 3, q?
q
Let g(f) = -f**3 + f**2 + 2*f. Suppose 0 = -31*c + 23*c. Let h be g(c). What is the third smallest value in h, 3, 0.07?
3
Let w = 21.91 + -0.91. Let j = 0.16 + 16.84. Let x = w - j. Which is the second biggest value? (a) -2/3 (b) x (c) -3
a
Let y = 0.2 + -0.3. Let t be 3/(15/(-8)*-4). Suppose -4*v - 11 = d, 0*v + v + d + 5 = 0. Which is the third biggest value? (a) y (b) t (c) v
c
Let v = -1/95 + -371/855. Let p = 0.8 + 1.7. Let r = p + -2. Which is the smallest value? (a) -2/9 (b) v (c) r
b
Suppose -2 + 4 = s. Let m be (855/75 - 14) + 3/5. What is the smallest value in m, s, 2/9?
m
Let j be (-5)/25 + (-55)/(-25). What is the second smallest value in -2, 3/19, j?
3/19
Let l = -3.63 + 3.8. Let d = -0.03 - l. What is the biggest value in -2/11, d, -2/3?
-2/11
Let a = -0.065 + 9.065. Let h = -13 - -8. Let k = h + a. What is the third biggest value in k, 1, 0.4?
0.4
Let g = 0.8 - 1.1. Let m = -1/516 + -229/172. Which is the second smallest value? (a) g (b) 1 (c) -4 (d) m
d
Let c be 7/7 + (2 + 1 - 8). What is the smallest value in 3, 17, c, 2/9?
c
Let q = -0.196 + 0.696. Which is the fourth smallest value? (a) -1 (b) -2/29 (c) -0.3 (d) q
d
Let d(n) = -8*n - 78. Let x be d(-10). Let p be 18/72*(x - 1). Suppose 4*z - 5*z + 2 = 0. What is the third smallest value in p, 0.01, z?
z
Let w = 40.7 + -42.7. Let r be ((-3)/(-9))/(2/18). Suppose -3 = -2*v + r. Which is the second biggest value? (a) -0.2 (b) w (c) v
a
Let p = -31/156 + -7/52. Which is the third smallest value? (a) 2/5 (b) 1/4 (c) p
a
Let o = -484 - -484.41. Which is the biggest value? (a) o (b) -1 (c) 1/4 (d) 0.5
d
Let o = 13/3 - 11/3. Let t = -20 + 15. Which is the third smallest value? (a) t (b) 3/2 (c) o (d) -0.4
c
Let d = 2.42 - 1.42. What is the biggest value in -0.3, 19, 4, d?
19
Let y = 3.5 - 3. Let c = 0.75 + -0.31. Let x = 0.44 - c. What is the biggest value in y, x, 0.1?
y
Let f = -61 - -55.6. Let q = f + 1.4. What is the second smallest value in 0.1, -18/5, q?
-18/5
Let u = 0.1751 + 4.8249. What is the biggest value in u, 3.2, 0.5?
u
Let r = 390.1 + -416. Let x = r - -27. Let y = -2 + x. What is the second smallest value in 2/9, 3, y?
2/9
Let f be ((-470)/(-60))/(-47)*0. Let u be 0 - (-4)/3 - 1. What is the second smallest value in -0.5, 4, u, f?
f
Let h = 269 - 268.9. Which is the biggest value? (a) -3/2 (b) h (c) 5 (d) -1
c
Let j be 2/2 + (-38)/34. Let u = -0.3 - -0.2. Let x = 1025/6 + -171. What is the third biggest value in x, u, j?
x
Let x = 24 + -1. Let l = 29 - x. Which is the smallest value? (a) -2/3 (b) l (c) 0.2
a
Let f = -0.0065 - -0.1065. What is the second biggest value in f, 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
for c.
-5
Suppose -7*v = 3*v. Solve 0 = 5*q + 2*z + 5, v*z = q + z + 4 for q.
1
Let q = 55 + -52. Suppose 3*n = o - 21, 37 = 5*o + 2*n - 0. Suppose 7 + o = 4*y. Solve -3*z = q*h - 6, y*h = -3*z + 7*z - 24 for h.
-2
Suppose 0 = -2*m + 4, s + 3*m + 1 = 14. Let o(x) = x**2 - 3*x - 26. Let l be o(s). Solve -17 = -l*b + 7*p - 2*p, -2*b = -p - 5 for b.
1
Suppose 29 = -12*s + 89. Suppose 0*a = -5*p + s*a + 30, -5*p = 3*a + 2. Solve -2*n + 1 = 2*n + 5*o, 3*n + p = -o for n.
-1
Suppose 6*t = -3*d + 2*t + 47, -t + 101 = 5*d. Let k = 23 - d. Suppose -i = k*i - 39. Solve -i = -5*p - 2*w + 1, -2*p + 2*w + 14 = 0 for p.
4
Let s be (12 + 744/(-60))*-5. Solve -z - m = 2 + 3, -6 = -s*z + 2*m for z.
-1
Let b be (-69)/(-2)*(-24 + 26). Let p = b + -69. Let l = 6 - 4. Solve -l*a + 11 = -0*a - c, 3*a - 5*c - 20 = p for a.
5
Suppose v = 7 - 2. Let u = v + 3. Solve 22 = 5*x - s, 5*s + u = s for x.
4
Let s be ((-6)/8 - (-56)/32) + 16. Suppose -s*i - i = -90. Solve h = -2*y - i, -4*y - 1 = 3*h + 14 for h.
-5
Suppose -d + 30 = -5*n, -d = -4*n + 5*n. Let f = 10 + n. Suppose -f*y + 8 = p, 4*p + y = 74 - 4. Solve 4*s - 45 = 5*k, -p = 4*k + s - 3 for k.
-5
Suppose -5*d + 4*n = -19, -d + 41*n - 42*n + 2 = 0. Solve -4*l + 8 = 5*r, -3*l - 5 = d*r - 2*r for l.
-3
Let b = -18 - -27. Let c be -4 + b + (-1 - -2). Solve -4*f - 3*i = -19, -f + c*f = 5*i + 15 for f.
4
Suppose -5*l - 24 = -44. Let y = 12 - 2. Let u be 2/y + (-174)/(-30). Solve -5*j - a - 3*a + u = 0, 0 = -a + l for j.
-2
Let d(m) = -3*m - 53. Let f be d(-21). Suppose f = -6*t + 34. Solve 0 = -t*g + 2*r + 30, -5*r + 1 = 4*g + 6 for g.
5
Let g(j) = -j + 13. Let f(h) = h - 14. Let d(u) = -5*f(u) - 4*g(u). Let a be d(13). Solve 5*t + 2 = 3*s - 32, -35 = 4*t - a*s for t.
-5
Let f = 312 + -312. Suppose -8 = -r + 4*j, -5*r + 19 = -r - 3*j. Suppose -2 = -2*m + 4. Solve f = r*l + 8, -4*y - y - l = -m for y.
1
Suppose 14*c - 13*c - 12 = 0. Solve 3*n + n = 4*y, 0 = 3*n + 3*y + c for n.
-2
Let c(y) = -y**3 - 2*y**2 + 1. Let d be ((-2)/(-3))/(18/81). Let v be -3 + 2 + d + -3. Let u be c(v). Solve -w + 3 = -4*m - 13, -5*w = u for m.
-4
Suppose 4*b - 14*b = -310. Suppose 3*l = -d + 32, -b = -3*d + 2*l + 2*l. Solve n - 5*w - d = 0, 3*n + 4*w + 5 + 1 = 0 for n.
2
Let y = 100 - 96. Suppose 5*p - 7*z = -5*z + 54, 0 = 2*z + y. Solve -5*o + 15 = -2*o, 2*o = 2*m + p for m.
0
Let v(u) = 10*u - 109. Let y be v(13). Solve -5 = x, 3*m + 6 = -3*x - y for m.
-4
Let v(x) = 2*x**3 - 12*x**2 + 2*x - 9. Let u be v(6). Suppose 2*m + 3*t - 13 = 0, -u*m + 3*t - t + 13 = 0. Solve g + m = -s, -2*g - 3 = 1 for s.
-3
Suppose 6*n - 31 = -19. Let p(r) = -2*r**3 + 16*r**2 + r - 5. Let k be p(8). Solve -j + 5*j - 6 = -5*g, -5*g + n = k*j for j.
4
Let p be 6/(-4)*180/(-27). Solve -o - p = -j + 6*j, -j - o = 6 for j.
-1
Let a(c) = 14*c + 7. Let t be a(8). Suppose o + t = -19. Let j be (3/(-1))/(18/o). Solve -4*r - 5*x + 31 = -r, -4*r = 3*x - j for r.
2
Suppose -5*b + 45 - 10 = 0. Suppose -8 - b = -5*q. Let w be ((-20)/(-11) - (-4)/22) + -1. Solve -4*d + w = q*a, -d - 2 - 4 = 2*a for a.
-5
Suppose 0 = -3*o + 5*z + 16 - 6, 6 = 4*o - 3*z. Solve -5*f - 2 = -3*f + 4*s, 2*s + 6 = o for f.
5
Let n = 872 - 869. Solve 0*o + 17 = -4*o + 3*h, 2*o = -n*h - 13 for o.
-5
Let a be ((-9)/6)/(15/(-40)). Suppose -4*h + h = -60. Let o = -14 + h. Solve -u = p - 3, -a*p - 27 = -5*u + o for u.
5
Let l(p) = p**3 - 8*p**2 + 8*p + 7. Let z be l(7). Suppose z*x + 20 = 18*x. Solve o - 5 = -4*r, 4 = -o + x*o for r.
1
Let w be (((-6)/(-5))/1)/(120/300). Solve -w*q = o + 2 + 1, -3 = o - 4*q for o.
-3
Let m(a) = -3*a + 17. Let b be 0/(4/(-4) + -1). Let i be m(b). Solve 4*y - i = -3*g + 4*g, 22 = 5*y - 2*g for y.
4
Suppose -29 - 39 = 4*n. Let r = 50 + n. Solve l = -2*g + 13, -4*g - 5*l = -2*g - r for g.
4
Let r be ((-2)/(-8) - (-9)/12) + 3. Let i be 14/3 - r - 38/(-6). Solve 6*q - i = 4*q + c, -5*q - 5*c = 20 for q.
1
Let m(h) = -3*h**3 - 11*h**2 + 7*h + 15. Let g be m(-4). Solve 4*s + 6*z - 1 = z, -3*z = -g for s.
-1
Let i(t) = 10*t + 3. Let q be i(0). Solve 4 = 4*n + q*h - 1, 2*n - 2*h - 6 = 0 for n.
2
Let h(n) = n**2 + 8*n - 62. Let w be h(-13). Solve -12 = -p + 3*k, 0 = w*k + 19 - 4 for p.
-3
Let u = 11 + -50. Let t = -25 - u. Suppose 18 = 4*h - t. Solve 0 = -4*k - 4*l - h, -4*k + 5*l + 30 = k for k.
2
Let k be (2/(-4) + 1)*0. Let i be (12*((-4)/(-1))/8)/(-1). Let u be i/33 - (-46)/11. Solve j + p - 5*p - 19 = k, -2*p + u = 4*j for j.
3
Let u(w) = 18*w - 66. Let a be u(4). Solve -5*t + t = h + 15, a = -3*t + h for t.
-3
Suppose 3*y - 9 = o, 5*o + 4*y = o + 28. Solve -o*q - 5*s = -30, -1 = -4*q - s + 22 for q.
5
Let d(q) = q**2 - q + 6. Let n be d(2). Suppose 10 = k + n. Solve -10 = k*s + s - 2*j, -2*s - 3 = -5*j for s.
-4
Suppose -4 = -6*h + 8. Solve n = 2*y - 8, -2*y + 7*n - h*n = 0 for y.
5
Let h(a) = -a + 3. Let u be h(0). Suppose u*k - 64 - 38 = 0. Suppose 4*x - 3*m - 4 = k, -2*x + 24 = -4*m. Solve 0 = 5*n + 5*q + 17 + x, -4*q = -2*n + 2 for n.
-3
Suppose 4*l - 1 = 7. Suppose -2 = y - l*m + 2, 2*y + 4*m - 16 = 0. Let n be (-1)/y - 104/(-16). Solve o = 4*u - 2, -4*o = -o - n for u.
1
Let b be 24 + 2/(-13) + (-1750)/455. Solve 0 = -12*a + 14*a + 3*h - 15, -5*a - 4*h = -b for a.
0
Let s = 5 + 9. Let g = -41 + -112. Let u = g + 185. Solve 3*p = 3*q + q - u, p + s = 2*q for p.
-4
Let f(p) = p**3 - 7*p**2 - 3*p + 5. Let b be f(7). Let s = b + 18. Solve 3*v = 5*z - v + 9, -4*v + 6 = -s*z for z.
-1
Let g = 290 - 286. Solve -3*s - g = s, -t = 5*s for t.
5
Suppose 4*l + 35 = -5*k, 22*k - 23*k = 7. Let i = 19 + -7. Let a = i + -8. Solve -4*q = -r - 1 - a, l = -5*r + 15 for q.
2
Let d(t) = t**3 - 6*t**2 + t - 3. Let z = -29 + 35. Let w be d(z). Solve 0 = 2*n - 3 - 7, -w*r = 2*n - 10 for r.
0
Let m be (2 - (-3 - -3)) + -19. Let v = 2 - m. Solve -4*c = -5*d - 25, -4*c + 2*d + v = 3*d for c.
5
Let o(k) = -k**3 - 9*k**2 + k + 11. Let m be o(-9). Solve 3*l - 14 = -2*v, 0*v - l + 10 = m*v for v.
4
Let b be (3/9)/(2/18). Solve a = 3*a - b*l, -2*a + 2*l = -2 for a.
3
Let h = 380 - 380. Solve 5*j = -h*j - 5, -4*y = -2*j + 2 for y.
-1
Let l(w) = -2*w - 1. Let h be l(-15). Let k = 39 - 14. Let r = h - k. Solve -2*i + 16 = -5*v, 0 = 2*v - v - 4*i - r for v.
-4
Let w = 46 + -31. Suppose -5*d + 0*d - w = 0. Let q be (6/4)/(d/(-6)). Solve 2*m + 10 = 0, 9 = q*r - 3*m - 9 for r.
1
Let i = 70 - 37. Let x = i - 3. Solve 4*p + x = g - 6*g, 0 = 2*p + g + 12 for p.
-5
Let c(b) = 0*b + 22 + 2*b + 30 - 14. Let a be c(-18). Suppose -2*v + 4*v = -3*j - 6, 4*j = -4*v - 4. Solve -a*p - 16 = -3*d, -d = -v*p + 10 - 27 for d.
2
Let t(n) be the first derivative of 9*n**2/2 - 8*n - 4. Let b be t(3). Solve -b = 2*f - 3*a + 2, 5*f = 4*a - 35 for f.
-3
Let z be (-17)/(-1 + (0 - 0)). Suppose -40 = -12*j + 44. Solve -3*t = -p - z, j = 3*t - 5 for p.
-5
Let j be -1*(2 + 1 - 7). Let k be 12 + 4/(j/3). Suppose 10 = 2*p - 0*p + 5*s, 0 = 3*p + s - k. Solve 9 = 3*b, p*b + 10 = 4*n + n for n.
5
Let r be ((-126)/(-6))/((-3)/2). Let y = -10 - r. Solve -4*s = u - 10, -s + y*u = 4*s - 23 for s.
3
Let i = 3 - -8. Solve -3*g = -4*f + i + 15, 5*f - 31 = 3*g for g.
-2
Let x = 6 - 3. Let g = -51 - -54. Suppose -g*k + 52 = 28. Solve -2*z + h + x*h = 18, h = -3*z + k for z.
1
Suppose h + 48 = 5*h. Let n = -6 + h. Let y(z) = -z**2 - 9*z - 9. Let s be y(-7). Solve 2*p - 34 = s*t - n, -3*t = 3*p for p.
4
Suppose 2*q - 6 - 2 = 0. Suppose r = 6*r + q*w + 5, -4*r - 13 = 5*w. Solve 5 = 5*y + 5*d, 5*y - d = -r + 2 for y.
0
Suppose -2*j + 3*q = -10, -4*j = -2*j - 5*q - 10. Solve t = r + 1, -20 = -4*r - j*t - 6 for r.
1
Let f = 24 + -21. Suppose -7 - f = -2*p. Suppose -s + p*a + 7 = 0, -2*s = 2*a + 3*a + 1. Solve 0 = 5*j + 25, 5*c = -3*j + s*j + 20 for c.
5
Let w be 1 + (-15)/(5/1). Let x be w + 0 - -2 - 34. Let g be ((-3)/(-2))/((-17)/x). Solve -m = 4*f + 20, -6*f - 24 = 3*m - g*f for m.
-4
Let l = 11 + -7. Let b(i) = i**2 + 31*i + 214. Let u be b(-21). Solve u*s + 5 = -2*d + 1, 2*s + l*d = 10 for s.
-3
Let c(u) = u**3 - 4*u**2 + 3*u + 2. Let f be c(3). Suppose 8 = 5*i + 3. Let p be f - (3 - 4)*i. Solve -4*l = z + 2*z + 14, -l + 4 = -p*z for z.
-2
Let s be ((-6)/10)/(8/(-120)). Suppose -10 = s*y - 28. Solve 3*n + y = 3*t - 4, 5*n + 19 = 2*t for t.
-3
Let k be 10/5 - 0/1. Let j be 0/((1 - 2)/(-1)). Let u(s) = s**3 - 2*s**2 - 6*s - 5. Let w be u(4). Solve j
|
{
"pile_set_name": "DM Mathematics"
}
|
v be n(4). Let u be (-2)/(-11) - (-14)/286. Let i = 19/26 - u. What is the biggest value in v, i, 3?
3
Let o = 23/11 + -277/143. Which is the third smallest value? (a) o (b) 0.3 (c) -1
b
Let o = 50.9 - 6.9. Let d = -30 + o. Let l = d - 10. Which is the biggest value? (a) 1/4 (b) -3/7 (c) l
c
Let f be ((-2)/14)/((-1)/(-2)). Let n = 835/4 - 210. Which is the biggest value? (a) 0 (b) n (c) f
a
Let t = 11 + -10. Which is the third smallest value? (a) 0.3 (b) -3 (c) t
c
Let l = 13.158 - 0.218. Let g = -13 + l. Which is the third biggest value? (a) 2/9 (b) -5/3 (c) g
b
Let u = -1010/11 + 92. Let k = -5 + 5.4. What is the second smallest value in u, 4, k?
k
Let r = 3 + -3. Let k = 0.3 + r. Let f = 23/42 - 5/7. Which is the smallest value? (a) k (b) 6/5 (c) f
c
Let b = -11.537 + -0.163. Let s = 12 + b. What is the third biggest value in 0, s, -0.1?
-0.1
Let d = -0.275 - 0.125. What is the smallest value in d, 0.4, 1.6?
d
Let a = -5 + 0. Let v be a*((-167)/(-55) + -3). Let f(b) = -b + 9. Let n be f(4). What is the third biggest value in v, n, -1/5?
-1/5
Let b = 15 - 21. Let n be 10/b*(-18)/20. What is the second smallest value in 0.3, n, 1?
1
Let x = 14 - 28. Let y = 14.4 + x. What is the second biggest value in y, 1, -1/4?
y
Let k = -14 + 13.8. Let m = -0.3 - k. Which is the second biggest value? (a) 4 (b) -0.4 (c) m
c
Let v be 24/(-32)*-2*2. Suppose -9 = 2*q - v*q. Which is the third smallest value? (a) -3 (b) -0.1 (c) q
c
Suppose -4*g = -4*n - 27 - 1, 2*g = 10. Let j be (n/8)/(126/8). Let f = j + 5/21. What is the second biggest value in 0.3, -0.5, f?
f
Let x = -731704918/755 - -969146. Let s = x - 2/151. Let z = -0.3 - -0.8. What is the smallest value in s, -4, z?
-4
Let j = 61.6 + -62. Which is the second biggest value? (a) -3 (b) j (c) 1
b
Let p be (-147)/14 + 1/2. Which is the third smallest value? (a) -2/15 (b) p (c) 0
c
Suppose -4*q - 5940 = 4*r, -3*q - 1497 = -4*r + 2979. Let b be q/14*(-4)/6. Let g = -71 + b. What is the third biggest value in -1/4, g, -0.4?
-0.4
Let l be (-13)/(-2) - 2/4. Suppose -2*u - l = 5*w + 3, 4*u - 27 = 5*w. Let b be (-2)/8*16/12. What is the biggest value in -2/3, b, w?
b
Let s = 26.96 + -27. What is the second smallest value in -0.1, 2, s?
s
Let v = 0.111 + 0.289. Let a be (-6)/(-8) + (-2)/8. What is the third biggest value in 2/15, a, v?
2/15
Let x = 2.7 + 2.3. What is the third smallest value in x, -3, 2?
x
Let j = -1052 + 1047.07. Let n = 5 + j. Let x = n - 0.37. Which is the third biggest value? (a) -5 (b) 1 (c) x
a
Let x be 3 + (-5)/10*18/4. Which is the biggest value? (a) x (b) -0.3 (c) -3 (d) 0.6
a
Let h = -6.4 + 0.4. Let q = -5.6 - h. Which is the second biggest value? (a) q (b) 5 (c) -2/13
a
Let k = 6.08 - 0.08. Let l = k + -3. What is the smallest value in l, -3, -0.2?
-3
Let g = 15.8 - 4.8. Which is the second smallest value? (a) 3 (b) g (c) 1/5
a
Let q = 0.22 + -0.02. What is the smallest value in 2/7, 5, q?
q
Let m be (-1)/(-3) + 13/(-3). Let x = -53.38 + 53.4. Which is the third smallest value? (a) x (b) m (c) 0.4
c
Let y = -5 - -4.71. Let z = y + 0.09. Which is the biggest value? (a) -2/7 (b) z (c) 1/2
c
Let u be (-16)/12 + 7/3. Suppose -3*f = 3*a, -4*a = 21 - 5. Let l be 2/4*f/(-14). What is the biggest value in -4, l, u?
u
Suppose 3*g + 8 = g. Let v be ((-2)/(-6))/(5/(-12)). Which is the second smallest value? (a) g (b) v (c) 3/7
b
Let p = -83 + 76.7. Let n = 22 - 16. Let i = n + p. What is the smallest value in 4, 0.5, i?
i
Let v = -1.1 + 0. Let q = -1 - v. Which is the second smallest value? (a) q (b) 2 (c) 3/2
c
Let r = 11.7 - 5.4. Let j = r - 0.3. Let m = j + -6.4. Which is the biggest value? (a) 1 (b) 3 (c) m
b
Let d = 3/10 + -7/15. Which is the third smallest value? (a) -12 (b) d (c) 5
c
Let l be (-2)/(-8) - 75/(-20). Suppose l*c + 5*x = c - 7, -x = 5*c - 3. What is the second biggest value in 0.2, 0.3, c?
0.3
Let p(o) = -2*o + 6. Suppose w = 2*f - 3*w + 16, 5*f - 5*w + 15 = 0. Suppose 2*h - 12 + f = 0. Let d be p(h). What is the biggest value in d, 4, 0.4?
4
Let d = 0.3 - -0.08. Let m = d - -0.02. What is the third smallest value in 1, m, 0.04?
1
Let u be (-1)/(-4) + 35/(-20). Let c be 2/4*1*2. Let p = -0.4 + 0.6. What is the third smallest value in u, p, c?
c
Let h = -17 + 21. Let m = -5 + 4.7. Let p = -0.23 + 1.23. Which is the third smallest value? (a) m (b) p (c) h
c
Let b = 9 - -2. Let f = -7 + b. Let r = -9 + f. What is the biggest value in 1, r, 0?
1
Let j be ((-3)/(-22))/(-4 - 38/(-8)). Let a = 1 + -6. What is the second biggest value in -0.2, j, a?
-0.2
Let s = -0.8 - -1.15. Let z = -0.05 + s. Let v = -0.8 - -0.4. Which is the biggest value? (a) 4 (b) z (c) v
a
Let y = -13 - -13.4. What is the third smallest value in -5, -4, -1, y?
-1
Let r = 1 - -1. Let u = r - 2.03. Let w = u + -2.97. Which is the second biggest value? (a) 1 (b) w (c) -0.4
c
Let c = 4.082 + -0.002. Let i = -4 + c. Let j = i + -0.08. What is the third biggest value in j, -0.3, 2?
-0.3
Suppose -3*w - 2*w - 4*s - 17 = 0, 5*w = -s - 23. Let j = -8435 - -42312/5. Let o = j - 27. Which is the second smallest value? (a) o (b) w (c) -4
c
Let y(w) = w**3 - 6*w**2 + 5*w - 3. Let d be y(5). Let p(j) = j**2 - j + 2. Let s be p(0). Which is the third smallest value? (a) 0.2 (b) s (c) d
b
Let f be (-1281)/441 - 2/((-4)/6). What is the smallest value in 3, 40, f?
f
Let v = -27.7 + 34. Let y = v + -6. Which is the smallest value? (a) y (b) -4 (c) 5
b
Let p be 1/(-2) + 102/208. Let n = 203/520 - p. What is the second biggest value in n, -3, -6?
-3
Let f = -0.7 + 1.2. Which is the smallest value? (a) 2/5 (b) f (c) 1
a
Let g = 27 + -20. Let d = g - 9. Let l be (1 - -2)/(27/4). What is the smallest value in -0.3, d, l?
d
Let j = 4 - -2. Let y = j + -10. Which is the second smallest value? (a) 2 (b) y (c) -0.3
c
Let p = -18 + 17. Which is the smallest value? (a) -3 (b) 0.3 (c) p
a
Let r be -1*(3 + 0)/3. Which is the third biggest value? (a) -0.3 (b) r (c) -1/3
b
Let r = -97.04 + -53.87. Let z = -150 - r. Let m = z - -0.09. Which is the second biggest value? (a) 5 (b) m (c) 0
b
Let u = 2 + -2.1. Let l = 0.7 + u. Let t = l - 0.1. What is the third biggest value in t, -4/3, -0.3?
-4/3
Let i = -2 + 1.5. Let g = 14 - 9. Let h be 6/15 - 4/35. Which is the third biggest value? (a) i (b) h (c) g
a
Let p = 1.71 - 0.85. Let m = p - -0.14. Which is the smallest value? (a) 4 (b) -4 (c) m
b
Let l = -8.32 - -410.32. Let p = l + -398.97. Let y = p - 0.03. Which is the third smallest value? (a) y (b) -2/7 (c) 1/5
a
Let w = -4 - -2. Let f = -8 - -14. Let x = -6 + f. What is the second biggest value in w, 1/6, x?
x
Let h = -5 + 4.97. Let g = 0.33 + h. Suppose 0 = i + 4*i. Which is the third biggest value? (a) 1/7 (b) i (c) g
b
Let u be ((-1)/(-6))/((-1)/(-2)). Suppose 0 = -n - 4*y + 13, 4*n + 4*y + 3 - 7 = 0. Let j = n - -1. What is the smallest value in j, -0.2, u?
j
Let o = -330 - 118. Let v = -452.87 - o. Let a = 0.13 - v. What is the biggest value in -4, a, 0.4?
a
Let m = 29 - 32. Which is the third biggest value? (a) m (b) -2 (c) -39
c
Let u be 15/12*(-12)/(-20). Let g = -2.9 - 0.6. Let i = -3 - g. What is the second smallest value in u, 5, i?
u
Let i = 0 - 0. Let u(g) = g**2 + 7*g + 8. Let f be u(-6). Which is the smallest value? (a) f (b) i (c) -4
c
Let k = -2.4 + 2. Let z = -3157/13 + 243. Let u(i) = i**3 + 7*i**2 + 6*i - 1. Let m be u(-6). Which is the second biggest value? (a) k (b) m (c) z
a
Suppose 9 = 2*t + 5*x - 68, 10 = -2*x. Let r = 107/2 - t. Let a = -1.5 + 1.1. What is the second biggest value in a, r, -3/2?
a
Let i(p) = -p**2 - 4*p + 2. Let r be i(-5). Let m be (-3*1)/((-24)/32). Which is the second biggest value? (a) m (b) r (c) -4
b
Suppose 0 = 5*m + a - 13, 3*a - 1 = 4*m - 0. Let f = 2 + 0. Let l be (1/f)/((-3)/24). What is the smallest value in m, -4/5, l?
l
Let w be (4/(-168))/(4 - (-17)/(-4)). What is the biggest value in w, 4, 0.5, 0?
4
Let v = 19 + -17. Let l = -0.6 - 4.4. What is the third smallest value in l, v, 3?
3
Let n = 0.1 + -0.5. Let c = -47 + 47. Let d = -0.6 + 1. What is the smallest value in c, n, d?
n
Let g = 5.1 - 0.1. Let t = -1 + g. What is the biggest value in -0.5, t, 0.4?
t
Let n = 6/7
|
{
"pile_set_name": "DM Mathematics"
}
|
?
7:40 AM
What is 543 minutes before 11:18 AM?
2:15 AM
What is 166 minutes before 7:40 PM?
4:54 PM
What is 680 minutes after 8:07 PM?
7:27 AM
How many minutes are there between 5:07 PM and 6:36 PM?
89
What is 581 minutes after 12:48 AM?
10:29 AM
How many minutes are there between 6:29 PM and 5:05 AM?
636
What is 88 minutes after 4:32 PM?
6:00 PM
What is 572 minutes before 8:08 PM?
10:36 AM
What is 386 minutes after 5:40 PM?
12:06 AM
How many minutes are there between 3:03 AM and 10:53 AM?
470
How many minutes are there between 3:43 AM and 1:28 PM?
585
What is 700 minutes after 11:15 PM?
10:55 AM
How many minutes are there between 3:58 PM and 5:30 PM?
92
What is 159 minutes before 10:01 AM?
7:22 AM
What is 699 minutes before 5:33 PM?
5:54 AM
How many minutes are there between 2:30 AM and 4:11 AM?
101
How many minutes are there between 9:06 PM and 8:15 AM?
669
What is 62 minutes after 8:44 PM?
9:46 PM
What is 459 minutes before 7:30 AM?
11:51 PM
What is 620 minutes before 2:37 PM?
4:17 AM
What is 707 minutes after 10:58 PM?
10:45 AM
How many minutes are there between 3:58 PM and 3:40 AM?
702
What is 517 minutes before 7:21 PM?
10:44 AM
What is 585 minutes after 12:37 PM?
10:22 PM
What is 468 minutes before 1:10 AM?
5:22 PM
What is 251 minutes after 6:10 AM?
10:21 AM
How many minutes are there between 12:48 AM and 2:29 AM?
101
How many minutes are there between 10:57 PM and 8:16 AM?
559
How many minutes are there between 7:43 PM and 2:31 AM?
408
What is 697 minutes after 11:51 PM?
11:28 AM
How many minutes are there between 7:03 PM and 12:08 AM?
305
What is 25 minutes after 8:31 PM?
8:56 PM
How many minutes are there between 9:23 PM and 4:04 AM?
401
How many minutes are there between 2:31 AM and 2:19 PM?
708
What is 342 minutes after 10:33 AM?
4:15 PM
How many minutes are there between 3:22 AM and 5:57 AM?
155
What is 535 minutes after 8:44 PM?
5:39 AM
What is 667 minutes after 10:38 AM?
9:45 PM
How many minutes are there between 6:44 AM and 9:40 AM?
176
How many minutes are there between 9:01 PM and 4:25 AM?
444
How many minutes are there between 1:02 PM and 8:55 PM?
473
How many minutes are there between 5:47 PM and 11:32 PM?
345
How many minutes are there between 9:58 PM and 9:47 AM?
709
What is 676 minutes before 7:45 PM?
8:29 AM
How many minutes are there between 4:05 AM and 12:49 PM?
524
What is 559 minutes after 9:24 AM?
6:43 PM
How many minutes are there between 5:13 PM and 4:38 AM?
685
What is 48 minutes after 4:37 AM?
5:25 AM
How many minutes are there between 4:22 PM and 6:56 PM?
154
What is 611 minutes before 1:47 PM?
3:36 AM
What is 107 minutes before 7:36 AM?
5:49 AM
How many minutes are there between 12:27 PM and 10:54 PM?
627
What is 253 minutes before 6:19 AM?
2:06 AM
How many minutes are there between 2:48 PM and 9:14 PM?
386
What is 237 minutes before 6:37 AM?
2:40 AM
What is 611 minutes after 10:13 PM?
8:24 AM
What is 399 minutes after 11:02 PM?
5:41 AM
What is 152 minutes after 1:25 PM?
3:57 PM
How many minutes are there between 8:57 AM and 11:21 AM?
144
How many minutes are there between 4:57 AM and 12:44 PM?
467
What is 505 minutes after 5:32 PM?
1:57 AM
What is 36 minutes after 3:33 AM?
4:09 AM
What is 628 minutes before 9:59 AM?
11:31 PM
What is 211 minutes after 11:29 AM?
3:00 PM
How many minutes are there between 7:28 AM and 5:53 PM?
625
How many minutes are there between 12:05 AM and 11:20 AM?
675
How many minutes are there between 11:13 AM and 4:31 PM?
318
How many minutes are there between 4:18 PM and 3:57 AM?
699
How many minutes are there between 9:14 PM and 9:26 PM?
12
What is 136 minutes after 3:57 PM?
6:13 PM
What is 610 minutes after 6:39 AM?
4:49 PM
What is 700 minutes after 2:51 AM?
2:31 PM
What is 167 minutes before 2:01 PM?
11:14 AM
How many minutes are there between 12:31 AM and 5:29 AM?
298
What is 167 minutes before 11:19 PM?
8:32 PM
How many minutes are there between 4:01 PM and 6:08 PM?
127
What is 292 minutes after 5:03 PM?
9:55 PM
How many minutes are there between 4:25 AM and 1:34 PM?
549
How many minutes are there between 6:11 PM and 6:23 PM?
12
What is 543 minutes after 8:12 PM?
5:15 AM
How many minutes are there between 4:56 AM and 11:54 AM?
418
How many minutes are there between 8:39 PM and 9:39 PM?
60
What is 246 minutes after 2:00 AM?
6:06 AM
How many minutes are there between 11:51 PM and 1:38 AM?
107
How many minutes are there between 8:26 PM and 4:13 AM?
467
What is 266 minutes after 7:13 AM?
11:39 AM
What is 543 minutes before 3:16 AM?
6:13 PM
How many minutes are there between 2:33 PM and 2:13 AM?
700
What is 325 minutes before 5:19 AM?
11:54 PM
How many minutes are there between 9:07 PM and 6:58 AM?
591
What is 156 minutes before 9:21 PM?
6:45 PM
What is 404 minutes after 10:56 PM?
5:40 AM
How many minutes are there between 10:46 AM and 4:17 PM?
331
How many minutes are there between 4:56 AM and 3:53 PM?
657
What is 482 minutes before 11:43 PM?
3:41 PM
How many minutes are there between 3:07 PM and 8:30 PM?
323
How many minutes are there between 8:22 AM and 9:50 AM?
88
What is 69 minutes after 7:40 AM?
8:49 AM
What is 687 minutes after 10:30 PM?
9:57 AM
How many minutes are there between 11:57 PM and 5:34 AM?
337
How many minutes are there between 10:39 PM and 2:34 AM?
235
What is 136 minutes after 5:16 AM?
7:32 AM
What is 410 minutes before 5:31 PM?
10:41 AM
What is 482 minutes after 11:52 AM?
7:54 PM
How many minutes are there between 4:16 PM and 11:53 PM?
457
How many minutes are there between 12:28 AM and 6:05 AM?
337
What is 405 minutes before 1:02 AM?
6:17 PM
What is 470 minutes before 1:16 AM?
5:26 PM
What is 488 minutes before 1:15 AM?
5:07 PM
How many minutes are there between 10:47 AM and 7:03 PM?
496
How many minutes are there between 9:32 AM and 12:47 PM?
195
What is 20 minutes after 7:36 AM?
7:56 AM
How many minutes are there between 6:54 PM and 1:39 AM?
405
How many minutes are there between 4:31 PM and 1:15 AM?
524
How many minutes are there between 5:49 PM and 2:47 AM?
538
What is 552 minutes before 10:23 AM?
1:11 AM
What is 322 minutes after 12:32 AM?
5:54 AM
What is 19 minutes before 1:18 AM?
12:59 AM
How many minutes are there between 5:06 PM and 3:31 AM?
625
How many minutes are there between 8:30 AM and 5:16 PM?
526
What is 159 minutes after 8:52 PM?
11:31 PM
What is 111 minutes before 4:38 PM?
2:47 PM
How many minutes are there between 1:15 AM and 12:12 PM?
657
What is 160 minutes before 7:19 AM?
4:39 AM
What is 462 minutes after 10:59 PM?
6:41 AM
How many minutes are there between 7:48 PM and 9:39 PM?
111
What is 251 minutes after 3:20 AM?
7:31 AM
What is 130 minutes after 4:00 AM?
6:10 AM
How many minutes are there between 10:13 AM and 5:12 PM?
419
How many minutes are there between 7:59 PM and 7:00 AM?
661
What is 647 minutes after 3:03 PM?
1:50 AM
How many minutes are there between 12:36 AM and 6:13 AM?
337
How many minutes are there between 2:55 PM and 8:26 PM?
331
How many minutes are there between 7:19 AM and 5:39 PM?
620
How many minutes are there between 9:31 AM and 1:55 PM?
264
How many minutes are there between 4:10 AM and 8:34 AM?
264
What is 246 minutes before 11:25 AM?
7:19 AM
What is 526 minutes before 4:36 AM?
7:50 PM
What is 373 minutes after 12:30 AM?
6:43 AM
How many minutes are there between 10:11 PM and 11:53 PM?
102
What is 423 minutes before 3:41 AM?
8:38 PM
How many minutes are there between 8:07 PM and 9:03 PM?
56
How many minutes are there between 2:54 AM and 6:21 AM?
207
How many minutes are there between 2:09 AM and 6:55 AM?
286
What is 502 minutes after 6:25 AM?
2:47 PM
How many minutes are there between 11:50 AM and 10:52 PM?
662
How many minutes are there between 8:33 AM and 1:35 PM?
302
How many minutes are there between 3:00 AM and 5:16 AM?
136
What is 176 minutes after 6:50 PM?
9:46 PM
What is 203 minutes after 5:01 PM?
8:24 PM
How many minutes are there between 3:22 PM and 5:22 PM?
120
What is 416 minutes after 8:45 AM?
3:41 PM
How many minutes are there between 2:37 AM and 8:18 AM?
341
How many minutes are there between 2:38 PM and 9:46 PM?
428
What is 647 minutes before 3:23 AM?
4:36 PM
How many minutes are there between 11:55 PM and 6:45 AM?
410
What is 685 minutes after 8:18 PM?
7:43 AM
How many minutes are there between 9
|
{
"pile_set_name": "DM Mathematics"
}
|
he remainder when 23 is divided by o(10)?
7
Let l(r) = -6*r**2 + 9. Let o be l(-3). Let n = -24 - o. What is the remainder when n is divided by 6?
3
Suppose h + 2 = 2*x, -7*h + 3*h - 2*x = 38. Let m(c) = 2*c**2 - 12*c - 16. Calculate the remainder when m(h) is divided by 53.
49
Suppose 47*f = 48*f - 60. What is the remainder when 77 is divided by f/160 - 4/(32/(-37))?
2
Let j(a) = -2*a**3 + 171*a**2 + 111*a - 1072. What is the remainder when j(86) is divided by 10?
8
Let a(m) = -7*m - 157. Let s = -715 - -679. Let h = 140 + -91. What is the remainder when a(s) is divided by h?
46
Let q be (0 - 0) + 3 - -2. Suppose -4*h = 5*o + 1 + 46, h = -q*o - 8. Let m = 42 - h. What is the remainder when m is divided by 15?
10
Suppose 670*s = 623*s + 331115. What is the remainder when s is divided by 8?
5
Let f = -199 - 12. Let d = f - -306. Calculate the remainder when d is divided by 25.
20
Let w = -2 - -13. Let o = 662 - 378. Suppose o - 34 = 5*v. What is the remainder when v is divided by w?
6
Let r(o) = o**3 + 8*o**2 - 15*o - 16. Let g = 44 + -79. Let b = g - -26. Calculate the remainder when r(b) is divided by 8.
6
What is the remainder when (-60)/(-210)*(454*11 + -3) is divided by 31?
0
Let o = -123 - -100. Let d = -8 - o. What is the remainder when 57 is divided by d?
12
What is the remainder when 1886 is divided by 156/12 + (-45)/135 + 28/(-6)?
6
Let x be 26/((-4)/(-10)*140/112). Suppose -194 + 32 = -2*m. Suppose -x + m = h. What is the remainder when 141 is divided by h?
25
Suppose -5*a - 4*m + 729 = 0, -3*a + 455 = 3*m - 5*m. Let l(s) = 2*s**2 - 29*s + 7. What is the remainder when a is divided by l(16)?
39
Let u = -110 + 120. Suppose u*h = 2*h + 24. What is the remainder when 32 is divided by h?
2
What is the remainder when 4895 is divided by (-1)/15 + -1 + (-3691)/(-15)?
240
Let c(p) = -854*p + 12633. Calculate the remainder when c(13) is divided by 47.
27
Suppose 1886 + 178 = 6*c. Suppose 32*t - 36*t = -c. What is the remainder when t is divided by 35?
16
Suppose 5*g - 2*r + 131 = 0, g + 21 = -4*r - 14. Let x = g + 104. What is the remainder when x is divided by 29?
19
Let o(w) = w**3 + 17*w**2 + 39*w - 191. Calculate the remainder when 155 is divided by o(-12).
33
Let z = 16 + 8. Let m be (-26 - (-8 + 6))*1. Let o(p) = -p**2 - 23*p + 39. Calculate the remainder when z is divided by o(m).
9
Let q = 16 - -3. Suppose -5*v - 5*z + 27 = -3*v, -66 = -3*v + z. Calculate the remainder when 1527/v - 12/(-42) is divided by q.
16
Let t = 89 + -85. Suppose t*z = -57 + 65. Suppose j = 3*j + 10, 52 = 3*n - z*j. Calculate the remainder when 69 is divided by n.
13
Calculate the remainder when 1/(6*(-9)/(-91422)) is divided by 15.
13
Let y be -78*10/(-45)*12. Suppose -3*q = -2*q + h + 49, 4*q = 2*h - y. Let z = q - -62. What is the remainder when z is divided by 4?
3
Suppose 3*u = 5*n + 105 + 26, 4*u = 4*n + 188. Let d(h) = h**3 - 12*h**2 - 11*h + 3. Calculate the remainder when u is divided by d(13).
23
Suppose 20*h - 400 = 24*h. What is the remainder when (-1 - 1)/2 - (h - 1) is divided by 34?
32
Suppose 4*k + 3*n - 4 = 0, -36 + 10 = 5*k - 4*n. Calculate the remainder when k/(-9) - (-16368)/216 is divided by 27.
22
Let y be (52/(-6))/(7/(5859/(-18))). Let l = -250 + y. Calculate the remainder when l is divided by 46.
15
Suppose 16*q - 18*q + 20 = 0. Suppose y + 4*y - q = 0. Suppose -3*p + 37 = -4*h - 83, y*p - 5*h - 73 = 0. What is the remainder when p is divided by 25?
19
Calculate the remainder when 1623 is divided by 12/26 + (12705/273 - 19).
27
Suppose 20 = 4*b - 4*c, c = -11*b + 14*b - 15. Suppose -z - 62 = -b*z - 2*g, 0 = -5*z - 5*g + 80. Calculate the remainder when 69 is divided by z.
9
Let r be (4/(16/(-15)))/(36/480). Suppose 0 = 3*o + 2*o + 4*s - 34, -2*o - 3*s + 15 = 0. Let u = o - r. What is the remainder when u is divided by 30?
26
Let h = 10 + -214. Calculate the remainder when h/(-8)*2 + 3 is divided by 23.
8
Suppose 0 = -3*l + 6*l - 6921. Suppose 0 = 12*q - l - 549. What is the remainder when q is divided by 61?
55
Let i = -2350 - -2401. What is the remainder when i is divided by (3/(-6))/(1/(-38))?
13
Let p = -304 + 306. Suppose 0 = -3*j - 15, -4*z + 4*j + 12 = -0. Calculate the remainder when 39 is divided by (z + -2)/((-1)/p).
7
Suppose -21 = -4*x - 9. Suppose -2*p = -n + 42, -x*p - 204 = -4*n - 4*p. What is the remainder when 147 is divided by n?
47
Let l = -377 - -377. Suppose 0 = -4*x - w + 4 + 20, l = -4*w. Suppose 44 = 2*k + 2*k. What is the remainder when k is divided by x?
5
Suppose 3*h - j = 24, h - 5*j + 2 + 4 = 0. Let n = h - -2. Suppose 1 = -p + 22. Calculate the remainder when p is divided by n.
10
Let y = 1 - 9. Let c(k) = 163*k - 15 + 10*k**2 + 0*k**3 - 313*k + 158*k + k**3. What is the remainder when c(y) is divided by 13?
10
Suppose 915*y - 942*y = -567. What is the remainder when 26 is divided by y?
5
Suppose -3*l + 29 = -5*w, 3731*w - 55 = -5*l + 3736*w. What is the remainder when 616 is divided by l?
5
Suppose 17*r - 15 - 19 = 0. Suppose 126 = 5*n - r*f, 5*n - f - 129 = -6. What is the remainder when n is divided by 9?
6
Suppose -4*f = -f - 27. Let q = -485 - -801. Suppose -17*t + 13*t + k = -q, 316 = 4*t + 3*k. What is the remainder when t is divided by f?
7
Suppose 4*g - 4 = -3*h, -4*g = -h - 9*g + 5. Suppose h*f = -4*f + 36. Let y = 4019 - 3997. What is the remainder when y is divided by f?
4
Let h = -7302 - -7330. Calculate the remainder when 109 is divided by h.
25
Let b = -101 - -106. Suppose -3*c = 2*l + l - 270, 0 = b*c - 3*l - 450. Calculate the remainder when c is divided by 34.
22
Suppose 5*a - 34 = 16. Suppose a*r = 5*r + 95. Suppose -14*w + r*w = 25. Calculate the remainder when 34 is divided by w.
4
Let z(x) = -1430*x + 236. What is the remainder when z(-1) is divided by 78?
28
Suppose 9 = f - 4*f. Let v(x) = -x**3 + 125*x**2 - 369*x + 393. Calculate the remainder when (-2)/f*1*69 is divided by v(122).
19
Suppose -4*o = -i - 1226, o - 5*i - 360 = -63. Suppose 5*a - r = o, -11 = -2*a + r + 113. What is the remainder when a is divided by 33?
28
Let v(i) = -7*i + 5. Suppose -666*b + 36 = -663*b. Calculate the remainder when v(-8) is divided by b/(-8)*(5 - 19).
19
Suppose 0 = -2*b + 16 - 0. Suppose 6*q + 94 = -302. Let t = q - -119. What is the remainder when t is divided by b?
5
Let y be (48/40)/((-6)/(-1370)). Let g = 295 - y. What is the remainder when 37 is divided by g?
16
Let l be (-4)/(-16) + (-1)/4. Let g(a) = 113*a + 1. Calculate the remainder when g(1) is divided by 20 + l + (0 - (-4 - -1)).
22
Suppose 42*s = 37*s + 100. Calculate the remainder when 71 is divided by s - (5 - 6) - (-6)/(-3).
14
Suppose -16*x = -19*x - 24*x + 1701. Calculate the remainder when 1260 is divided by x.
0
Let j(u) = -22*u + 141. Let d be j(-7). Let c = d + -179. What is the remainder when c is divided by 30?
26
Let w(z) = -5*z. Let q(m) = -m - 12. Let a be q(-7). Let b(t) = -121*t**2 + 6770*t + 383. What is the remainder when b(56) is divided by w(a)?
22
Suppose 4*q + 783 = 7*q. Let s = q - 253. Suppose 2*g = 3*z - 151, 2*z + 2*g = 3*z - 49. Calculate the remainder when z is divided by s.
3
Suppose 0 = 418*k - 426*k + 3959 + 30561. Calculate the remainder when k is divided by 20.
15
Let v = 38 + -30. Let n(j) = j**2 + 6*j - 6. Calculate the remainder when n(v) is divided by 27.
25
Suppose 2*w = l + 2*l - 14, 3*w + l = -32. Let q be (-28)/(-8) - 15/w. Calculate the remainder when 21 is divided by ((-204)/85)/(0 - 2/q).
3
Let k be (30/(-20)*2)/((-1)/(-47)). Let h = k + 198. Calculate the remainder when h is divided by 32.
25
What is the remainder when 370 is divided by (-2)/(44/(-143))*(2 + 1 + 5)?
6
Let n(y) = -y**3 - 74*y**2 + 329*y + 1402. Suppose 2*r - 270 - 636 = 0. Calculate the remainder when r is divided by n(-78).
73
Suppose -5*p + 26 = -44. Suppose -2*h - 4*r = -178, 5*r = 2*h - 181 - 15. Suppose 2*c + 3*v - h = 6*v, 20 = 4*v. What is the remainder when c is divided by p?
12
Suppose 310205 = -40*r + 75685. What is the remainder when 6/(-10) + r/(-205) is divided by 8?
4
Let s be -1*1*(-284 + 4 - 5). Let o = 588 - s. Suppose 15*y - o + 18 = 0. What is the remainder when 56 is divided by y?
18
Let b = 135 - 135. Let t be (b/21)/((2 + -1)*1). Suppose t = -k - 2*i + 21, -k + i + 4*i = -7. What is the remainder whe
|
{
"pile_set_name": "DM Mathematics"
}
|
be ((1/(-2))/1)/(35/(-210)). Let s be (-1 - -2) + d + 0. Let v(y) = 3*y**2 - 10*y + 6. What is the least common multiple of v(s) and 18?
126
Let w(j) = j**3 - 55*j**2 + 41*j + 766. What is the least common multiple of w(54) and 144?
576
Calculate the common denominator of -4 + 19/((-3458)/(-666)) and -62/637.
637
Let t(f) = -f**3 - 9*f**2 - 4*f + 2. Let p be t(-8). Calculate the common denominator of -3 - (9/p)/((-18)/(-179)) and 13/66.
660
Let p = -995264435 - -3780014294371/3798. Let o = p - 23/211. Calculate the common denominator of 83/15 and o.
90
What is the common denominator of -67/76 and ((11 + 18)/29)/(((-224)/81)/(-2))?
2128
Suppose -84 = 4*f - 2*w, 0 = 2*f - 0*w + 3*w + 42. Let q = f - -33. Suppose 0 = 6*h - 514 + 166. Calculate the least common multiple of h and q.
348
Let z(t) = t - 10. Let g be z(11). Suppose 4*n = 2*l - 44, -13 + g = -l + 4*n. Calculate the common denominator of 1/10 and (-3)/(-14)*(-5 - l/(-9)).
210
Let l = -12073/4 + 2998. Calculate the common denominator of 33/2018 and l.
4036
Let t be (60/(-8))/((-11)/22). Suppose 0 = 24*x - t*x - 126. Calculate the smallest common multiple of 6 and x.
42
Let f be 8/(-10) + (6 - 47873/(-1085)). Let q = f - 51/62. What is the common denominator of q and -97/6?
6
Suppose 0 = -26*s - 135 + 1565. What is the smallest common multiple of 132 and s?
660
Let u(d) = 27*d**2 - 3*d + 2. Let z be u(2). Suppose -4*p = -4*t - p - z, 0 = p - 4. Calculate the common denominator of 4*(t/72 - -1) and -131/12.
36
Let b = 9020 + -19432. Let u = b - -228955/22. Calculate the common denominator of u and 3/14.
154
Suppose 25 = 5*w, -5*g - 14*w = -9*w - 375. What is the least common multiple of ((-8)/14)/(60/g)*-255 and 4?
340
Suppose 0 = l - 2*l + 206. Suppose 4*i - l = -110. Calculate the smallest common multiple of i and 44.
264
Let v be 4 + 8/(56/343). Find the common denominator of 5/(-35)*v*-1 and -61/8.
56
Let r(p) = -2*p - 2. Suppose 4*o - 106 = 2*i, i + 0*i = -5*o + 129. Suppose 0 = -3*k + 122 - o. What is the smallest common multiple of r(-2) and k?
32
Let q(b) = b**3 + 8*b**2 - 10*b - 9. Let z be q(-9). Suppose 3*g + 6 = z, 0*y + 67 = 5*y + 4*g. Calculate the least common multiple of 10 and y.
30
Let c(g) = -g**3 + 2*g**2 - 2*g + 28. Suppose 134*m - 129*m = 3*x - 136, 5*x - 200 = -5*m. What is the least common multiple of c(0) and x?
84
Suppose 4*x = 4*g - 624, 5*x + g + 653 = -133. Calculate the common denominator of 6/(-2) + x/(-20) and ((-1284)/160*2)/3.
20
Let p(y) = 3563*y + 3. Let c be p(-3). Let i = 17463 + c. Let g = i + -135611/20. What is the common denominator of g and 99/28?
140
Let r = -11957/8 - -1491. Calculate the common denominator of (-2)/4*(-1992)/216 and r.
72
Let m = 45 - 45. Suppose -w = -m - 5. Suppose -3*k = w*x - 12, 5*k + 3*x - 42 = 2*x. What is the least common multiple of k and 15?
45
What is the common denominator of (-395206)/19600 + 20 + 2/8 and 117/160?
5600
Let t be ((-8)/(-6))/2 - 24/(-18). Suppose h + 9 = 3*d - 6, -5*d - t*h = -14. Calculate the lowest common multiple of 21 + (-1 - 0/(-2)) and d.
20
Suppose 42*s - 33 = 31*s. Suppose 4*t - 213 = s*v, 5*v + 11 + 4 = 0. What is the smallest common multiple of 30 and t?
510
Let d(k) = -2*k - 2. Suppose 1 = -s - 220. Let t = 225 + s. What is the smallest common multiple of d(-2) and t?
4
Let t = 121457428/108712155 + 2/749739. Let z = t + -267/145. What is the common denominator of z and -46/5?
145
Let j = -86021 + 45479. Let c = j - -3811051/94. What is the common denominator of c and 43/4?
188
Let j be 83 + (-9)/(-6)*4. Find the common denominator of -125/24 and 18/328 - -1 - (j - 88).
984
Find the common denominator of 53/171 and (((-1012)/528)/(20/(-14)))/(1/4).
1710
Let a be (5/10 + -1)/(2/(-20)). Let t = a + 75. Let g = t + -75. What is the lowest common multiple of 6 and g?
30
Suppose 3*g = -3*o + 3, -4*g + 0 = 3*o - 2. What is the common denominator of g/(-4) + (-213)/420 and 89/30?
210
Let h be (16/136)/((-57030)/(-1121896)). Let o = h - 6/9505. Let k = -1777/408 + o. Find the common denominator of k and 139/12.
24
Let u = -716 - -720. Calculate the lowest common multiple of u and 82.
164
Let f be ((0 + -2)/2)/(1 - 2). Let t be (-14)/(-12)*(f - (-204)/(-14)). Let p = t - -347/42. Calculate the common denominator of p and 21/4.
28
Suppose -4*r - 24 = 4*s - 56, -4*r = -4*s + 64. Calculate the least common multiple of -3 + (3 - (-5 + -1)) + (-1 - -15) and s.
60
What is the common denominator of 59/9 and (-3)/(((-576)/(-40))/(-12)*(-3)/6)?
9
Let f = -41 + 58. Let m(o) = -o**3 + 16*o**2 + 18*o - 10. Let i be m(f). Suppose 2*x = -i*x + 270. What is the lowest common multiple of x and 60?
60
Let z = -42/409 + -4645/6544. What is the common denominator of z and -121/804?
3216
Let m be (7/(-5) - 1)*110/(-33). Let t(c) = c**3 - 7*c**2 - 3*c - 14. What is the smallest common multiple of t(m) and 8?
104
Suppose -105*g - 24 = -106*g. What is the common denominator of 79/50 and (161/(-700))/(4/g)?
50
Calculate the common denominator of -51/466 and (-15)/(-99)*9/(-2).
5126
Let v = 8493 + -5967. Calculate the least common multiple of v and 30.
12630
Let o = -1134335/36 - -31506. Let y = -59/450 + 1/50. Calculate the common denominator of y and o.
36
Let x be (-15)/2*(-456)/(-15). What is the common denominator of 64/45 and 463/x + 42/56?
855
Suppose 2*d = -2*m - 16, 4*m = -2*d - 0*d - 30. Calculate the common denominator of 2961/560 - (-2 - m) and -127/18.
720
Suppose -25 = 5*g, 4*f - 5*f + 2*g = -15. Suppose -4*h - f*v = -17, 5*v + 1 = 3*h - h. What is the least common multiple of -12*(-1)/2*h and 10?
90
Let h = 705/28 + -99/4. Let z = 5/7 - h. What is the common denominator of z and 67/9?
63
Suppose 4*o = 2*t + 3*t - 10, -4*o - 4 = -4*t. Calculate the least common multiple of (4/t)/(4/30) and 3288/3836 - (-3)/21.
5
Let j = -290668/5812995 - -33/6353. What is the common denominator of j and -11/57?
17385
Let c = -85775/208 - -4520/13. Let h = c - -495/8. What is the common denominator of h and 2 + (-38)/88*6?
176
Let j = 180 + -177. Find the common denominator of (-54)/(-135)*50/28*j and -95/2.
14
Let b = 303 - -65. What is the common denominator of 10/(-120)*(b/(-6) - -2) and 146/66 + 0/1?
198
Let i(g) = 22*g**3 + 8*g**2 - 59*g + 143. What is the smallest common multiple of i(6) and 3073?
33803
Let z be ((-21)/28)/(3/(-64)). Let m = 183/14 - z. What is the common denominator of m and 61/20?
140
Let l = -44527243/1393 + 31965. Find the common denominator of l and -22/199.
1393
Let c(d) = -d**2 - 10 + 2*d**2 - 452*d + 447*d. Let h(r) = -2*r + 17. Let k be h(5). Calculate the lowest common multiple of c(k) and 16.
16
Let w = -2/25061 - -2281103/6916836. Find the common denominator of 7/34 and w.
4692
Let u(l) = -13*l - 61. Let j be u(-4). Suppose -36 = -i + 5*z, -4*i + z = 2*z - 144. What is the lowest common multiple of (-101)/j + (-8)/i and 6?
66
Let d be (3042/(-45))/(3/(-10*3)). Let r = 594631/24 + -76361/3. Let o = d + r. Calculate the common denominator of o and -7/8.
8
Let a(o) = 3*o**2 - 172*o + 710. What is the least common multiple of a(4) and 24?
840
What is the least common multiple of 544 and (-36408)/(-51) + (-168)/(-1428)?
11424
Let u(g) = -3*g + 6. Let t(x) = 4*x + 7. Let p be t(-1). Let k = p - 0. What is the least common multiple of k and u(-6)?
24
Let x(i) = 305*i + 3616. What is the smallest common multiple of x(-11) and 30?
2610
Let f = 9/15605 - 1328099/2902530. What is the common denominator of f and 1118/12*(-1091)/14183?
186
Suppose -109 = -u - 27. Let z = u - 42. Let g = -36 + z. Calculate the lowest common multiple of g and 22.
44
Let w(l) = -14*l**3 - l**2 - l - 1. Suppose 7036 = -39*h - 11*h + 7236. Calculate the smallest common multiple of h and w(-1).
52
Let r = -463/5 - -5123/55. Find the common denominator of r and -143/72.
792
Let r(n) = -n**3 + 62*n**2 - 278*n - 319. Calculate the smallest common multiple of r(57) and 740.
2960
Calculate the least common multiple of 518 and (-212)/(-106) + 3/(-2 - 1).
518
Let z be (-230)/(-18) + 8/36. Suppose -3*v - 5*a + 6 = -v, -3*a = -5*v - 47. Let g = v + z. Calculate the least common multiple of g and 4.
12
Find the common denominator of 89/6 and ((-244)/(-32))/((-810)/360).
18
Let o = -6/43 + 5/344. Let z = -8660075/17 - -508650. Let m
|
{
"pile_set_name": "DM Mathematics"
}
|
0, -2, 0, 1, 3, 5
Sort -4.3, -27, 3.6 in descending order.
3.6, -4.3, -27
Sort -3/5, 0.4, -107, 1, -1, 25/6 in increasing order.
-107, -1, -3/5, 0.4, 1, 25/6
Sort -12, -2/25, -2, 3, 1, -4 in descending order.
3, 1, -2/25, -2, -4, -12
Put 0.4, -3, -5, -1923.6 in descending order.
0.4, -3, -5, -1923.6
Put 2, 5, -366, 4, 0 in descending order.
5, 4, 2, 0, -366
Put -1, 28, -74, -8 in ascending order.
-74, -8, -1, 28
Sort -945, 1121, -3 in increasing order.
-945, -3, 1121
Put 39, 4, 2, 313, -5 in ascending order.
-5, 2, 4, 39, 313
Put -15, 11, -671, 2, 3, -5 in increasing order.
-671, -15, -5, 2, 3, 11
Sort 2, -6, 3, 110, 5 in decreasing order.
110, 5, 3, 2, -6
Sort -26, 2, 89, 7, -2.
-26, -2, 2, 7, 89
Put -4, 0.5, 4/7, -253, 1 in decreasing order.
1, 4/7, 0.5, -4, -253
Sort 3, 1, -0.2, -10037, 0.08.
-10037, -0.2, 0.08, 1, 3
Sort -0.1, -4, 0.7, 3, -12 in ascending order.
-12, -4, -0.1, 0.7, 3
Sort 0, 84, -1, -71 in decreasing order.
84, 0, -1, -71
Sort 36, -5, -3, -495, 3 in decreasing order.
36, 3, -3, -5, -495
Sort 2, 1, -19, -55 in decreasing order.
2, 1, -19, -55
Sort 4, -1, 5, -4, -6, -0.16 in increasing order.
-6, -4, -1, -0.16, 4, 5
Sort -2/3, -3, -260, -5.1 in increasing order.
-260, -5.1, -3, -2/3
Put -4, 0, 691 in decreasing order.
691, 0, -4
Sort -270.7, -13, 5 in decreasing order.
5, -13, -270.7
Put -5, -163979, 5, 8 in increasing order.
-163979, -5, 5, 8
Sort 0, -56, 13, 1 in decreasing order.
13, 1, 0, -56
Sort 141, 0, 26, -5, 5 in increasing order.
-5, 0, 5, 26, 141
Sort 20, -51, -3, 0 in increasing order.
-51, -3, 0, 20
Put -683, 2, -3, 3, 5, -2 in descending order.
5, 3, 2, -2, -3, -683
Put -3, -2, -669, 0, -1 in increasing order.
-669, -3, -2, -1, 0
Put 68, 5, 1, 38 in increasing order.
1, 5, 38, 68
Sort 0.1986, -3, 5 in ascending order.
-3, 0.1986, 5
Put 35, 118, 3 in descending order.
118, 35, 3
Sort -3/2, -0.129, -41, -4/7, -0.9 in descending order.
-0.129, -4/7, -0.9, -3/2, -41
Sort -0.1, 1358, -145, 4/3 in increasing order.
-145, -0.1, 4/3, 1358
Put -2, -0.5, -0.08, 3132 in ascending order.
-2, -0.5, -0.08, 3132
Put -58, 70, 1 in descending order.
70, 1, -58
Sort -14, 700, -1/15.
-14, -1/15, 700
Sort 3, -9, -4, 4.6 in ascending order.
-9, -4, 3, 4.6
Put 131824, 2/21, -0.2 in descending order.
131824, 2/21, -0.2
Sort 3, 0.1578, -3.8 in descending order.
3, 0.1578, -3.8
Put 5, 4756, 3, 2/15, -0.05, 0.2 in decreasing order.
4756, 5, 3, 0.2, 2/15, -0.05
Sort 4, 7, 72, -1 in ascending order.
-1, 4, 7, 72
Put -5, -63, -2/693, 0.3 in ascending order.
-63, -5, -2/693, 0.3
Sort -2, -48, 1, 2/11, 8 in ascending order.
-48, -2, 2/11, 1, 8
Sort 3/11, 1.3, -4, -1, 1, 52 in decreasing order.
52, 1.3, 1, 3/11, -1, -4
Put -3, 2/5, 0.0641 in descending order.
2/5, 0.0641, -3
Sort -223, -7, 3, -5.
-223, -7, -5, 3
Sort 3/2, -2, 2, -11.1 in ascending order.
-11.1, -2, 3/2, 2
Put -15912, -3, -2, -0.5 in decreasing order.
-0.5, -2, -3, -15912
Sort -23, -4, 5, 6, 0.1 in increasing order.
-23, -4, 0.1, 5, 6
Sort -5, -7, -70, -3 in decreasing order.
-3, -5, -7, -70
Sort 127, 7, -0.5, -10, -0.4 in decreasing order.
127, 7, -0.4, -0.5, -10
Put 3/2, 2/3, -3, -423/83 in decreasing order.
3/2, 2/3, -3, -423/83
Put 9/14983, 0, 0.5 in descending order.
0.5, 9/14983, 0
Sort -2, -83, 79, 0 in decreasing order.
79, 0, -2, -83
Sort 5, 4141, 7, 2 in descending order.
4141, 7, 5, 2
Sort 0, 1/1110, -1/4, 5, 86, -0.3 in descending order.
86, 5, 1/1110, 0, -1/4, -0.3
Put -2, -6, -0.4, 3/4, -762 in decreasing order.
3/4, -0.4, -2, -6, -762
Sort -1/34, 0.31, 3/4, -203 in increasing order.
-203, -1/34, 0.31, 3/4
Put 44, -9, 5, -1/2, 1 in descending order.
44, 5, 1, -1/2, -9
Sort -6, -5, -23, 5, 0 in decreasing order.
5, 0, -5, -6, -23
Put -2220, -38, -20 in descending order.
-20, -38, -2220
Put -146, 4, -77 in ascending order.
-146, -77, 4
Sort 0.04, -5, 1, -22, 4, 0.4 in increasing order.
-22, -5, 0.04, 0.4, 1, 4
Sort -0.5, 2, 5, -0.1, 0.1, 8 in descending order.
8, 5, 2, 0.1, -0.1, -0.5
Put -2/3, 27/5, -4, 0.2, -4/7 in ascending order.
-4, -2/3, -4/7, 0.2, 27/5
Put -1, 12/7, 202 in increasing order.
-1, 12/7, 202
Put -13.9, 1/2, 114, -0.1, -4 in descending order.
114, 1/2, -0.1, -4, -13.9
Sort 0, 6570, -5, 5, -3 in decreasing order.
6570, 5, 0, -3, -5
Put -1.31, -112, -3 in decreasing order.
-1.31, -3, -112
Sort -2/9, 8, 3/4, 0.49, -0.3.
-0.3, -2/9, 0.49, 3/4, 8
Put 34, -4, -2, -46, -7 in descending order.
34, -2, -4, -7, -46
Put -7, -84, -5, 5 in decreasing order.
5, -5, -7, -84
Sort 0, -2, -17228 in increasing order.
-17228, -2, 0
Sort 266, 0, -180 in decreasing order.
266, 0, -180
Put 58, -6, -72 in increasing order.
-72, -6, 58
Sort -46/13, -41, -0.3 in ascending order.
-41, -46/13, -0.3
Sort -127, -4, 1, 5, -5, 3 in descending order.
5, 3, 1, -4, -5, -127
Sort 0.5, -5, -0.2, 224.
-5, -0.2, 0.5, 224
Sort 46, 5, 1/2, -1/31.
-1/31, 1/2, 5, 46
Put -1/5, -1/4, -5, 1/72233 in ascending order.
-5, -1/4, -1/5, 1/72233
Sort 0.29, 1/3, -1412.
-1412, 0.29, 1/3
Sort 88, -4/5, -2, -201 in descending order.
88, -4/5, -2, -201
Put -33, 2, -5, 75, -4, 0 in ascending order.
-33, -5, -4, 0, 2, 75
Put -14, -1, 0, 4, 36 in ascending order.
-14, -1, 0, 4, 36
Sort -247.64, 8, 1, 1/4 in descending order.
8, 1, 1/4, -247.64
Sort 4, 47, -4, 6, -17 in descending order.
47, 6, 4, -4, -17
Sort 396, -9/22, 5.
-9/22, 5, 396
Sort -3, -4, 1, -0.5, -1/7, -2.2.
-4, -3, -2.2, -0.5, -1/7, 1
Put -2, 63, 5, -29 in decreasing order.
63, 5, -2, -29
Put 3, 1.49, -2, -1, 12, -2/7 in increasing order.
-2, -1, -2/7, 1.49, 3, 12
Sort 1/4, 3, 0.165, 38.8 in increasing order.
0.165, 1/4, 3, 38.8
Put -62, 3, -5, -1/2, -1 in ascending order.
-62, -5, -1, -1/2, 3
Sort -4, 750, 4 in decreasing order.
750, 4, -4
Put -5, 7, 1, 100, -8, -3 in descending order.
100, 7, 1, -3, -5, -8
Sort 4, -0.26, 279, 1/17 in descending order.
279, 4, 1/17, -0.26
Sort 3, 28, 9176 in increasing order.
3, 28, 9176
Put -5, 372, -1/375 in increasing order.
-5, -1/375, 372
Put -350, 5/9, -1/3, -2/9 in descending order.
5/9, -2/9, -1/3, -350
Put -3, -22565, 62 in increasing order.
-22565, -3, 62
Put 1/4710, -1, 2/17 in decreasing order.
2/17, 1/4710, -1
Sort -4, -5, -2558 in decreasing order.
-4, -5, -2558
Sort -3, 0, -1.8, -5, 17/3, -0.3 in increasing order.
-5, -3, -1.8, -0.3, 0, 17/3
Put 0, -164, -4 in decreasing order.
0, -4, -164
Sort 4, -4, 1, 57 in ascending order.
-4, 1, 4, 57
Put -148, -21, 1, 0, -2, 4 in decreasing order.
4, 1, 0, -2, -21, -148
Sort 6, 1563, 10 in decreasing order.
1563, 10, 6
Put -1, -1102, 25 in decreasing order.
25, -1, -1102
Sort -156, 4, 0.02, 5/4, 1/5, -1.
-156, -1, 0.02, 1/5, 5/4, 4
Put -3, 135872, 8 in ascending order.
-3, 8, 135872
Sort 1, -288, -2, 3, 2, -10 in increasing order.
-288, -10, -2, 1, 2, 3
Sort 5, -278, 4, -1, 82.
-278, -1, 4, 5, 82
Put -3, -12, 3, 348 in descending order.
348, 3, -3, -12
Sort -5, 14, 57, 4, 0 in decreasing order.
57, 14, 4, 0, -5
Put -5, -11, 16, -2, -22, -4 in ascending order.
-22, -11, -5, -4, -2, 16
Sort -0.3, -0.2, -5, 17, -3/22 in increasing order.
-5, -0.3, -0.2, -3/22, 17
Put 2, 4, -10041, -37 in descending order.
4, 2, -37, -10041
Sort -0.04, -2/1167, -0.1, 5 in descending order.
5, -2/1167, -0.04, -0.1
Sort -0.2, -1, 29.8, 3/4 in increasing order.
-1, -0.2, 3/4, 29.8
Sort -0.03, 0.2, 93, 1, -2/7 in descending order.
93, 1, 0.2, -0.03, -2/7
Sort 2, -1, -3, 276 in decreasing order.
276, 2, -1, -3
Put -5, 7, 2/23, 0.14, -1 in ascending order.
-5, -1, 2/23, 0.14, 7
Put -1/3, 11, 1, 0, 0.5, -45 in increasing order.
-45, -1/3, 0, 0.5, 1, 11
Sort 2/3, 2, -3, -36/17, 0.
-3, -36/17, 0, 2/3, 2
Sort -34, 4, -1.3, 2 in decreasing order.
4, 2, -1.3, -34
Sort -0.3, 125, 0.4, -3/5, 26, 4 in decreasing order.
125, 26, 4, 0.4, -0.3, -3/5
Put -3/2, 468, 2, 1/6, -0.1, 7 in descending order.
468, 7, 2, 1/6, -0.1, -3/2
Sort 4, -160, 1, 23.
-160, 1, 4, 23
Sort -0.4, -2, 16, 0.3, -3, 0.4 in increasing order.
-3, -2, -0.4, 0.3, 0.4, 16
Put 23, -5, -1, 5, -34 in ascending order.
-34, -5, -1, 5, 23
Put 4, -497, 2, -4, -8, -2 in decreasing order.
4, 2, -2, -4, -8, -497
Sort -68, 2/19, -2/591, 0.
-68, -2/591, 0, 2/19
Sort -60, -2, 2, 16, 1.
-60, -2, 1, 2, 16
Put -4, -5/2, 84.34, -0.2 in descending order.
84.34, -0.2, -5/2, -4
Sort 1/4, 3, -1037 in descending order.
3, 1/4, -1037
Sort 4
|
{
"pile_set_name": "DM Mathematics"
}
|
927*w**2 wrt v.
-5*w**2 - 84*w
What is the first derivative of -168608*i**3 - 84412?
-505824*i**2
Find the third derivative of 771458*m**4*o**2 + 216*m**2*o**2 + 58*m**2*o - 8*m*o**2 wrt m.
18514992*m*o**2
Differentiate 18159*b**3 - 86406 with respect to b.
54477*b**2
What is the first derivative of -2*k**4 - 7238*k**2 + 16*k - 3011630?
-8*k**3 - 14476*k + 16
What is the first derivative of 9710*c**3*u + 10*c**3 - 2*c**2*u + 16317*c**2 - 3*c*u wrt u?
9710*c**3 - 2*c**2 - 3*c
Differentiate -51*o**3 + 2*o**2 + 1276*o + 1272109.
-153*o**2 + 4*o + 1276
Differentiate -3*s**3*u + 132266*s**3 - 5*s**2*u - 8*s**2 + 39*s*u - 64*u wrt u.
-3*s**3 - 5*s**2 + 39*s - 64
What is the derivative of -7859*h*w + 2*h - 31389*w wrt h?
-7859*w + 2
What is the second derivative of -3569*l**2 - 36102*l?
-7138
What is the second derivative of 2*f**5 - 88*f**2*p - 506*f*p - f + 13*p + 2 wrt f?
40*f**3 - 176*p
What is the second derivative of -2389699*h*y**2 + 163*h - 7115*y wrt y?
-4779398*h
Differentiate -471*c*p + 3305*c + 71*p + 7 with respect to p.
-471*c + 71
Find the second derivative of -120248*n**3 + 49*n + 746.
-721488*n
Find the second derivative of 49260*g**2 + 442*g - 131.
98520
Find the third derivative of 4828548*l**2*v**3 - 8*l**2*v**2 + 79270*l**2*v - 2*l*v**4 wrt v.
28971288*l**2 - 48*l*v
What is the derivative of -3*d*w**3 - 32496*d*w**2 + w**3 + 219131*w**2 wrt d?
-3*w**3 - 32496*w**2
What is the first derivative of 18109*v**2 - 46976 wrt v?
36218*v
What is the second derivative of -296147*w**2 + 2348*w - 30?
-592294
Find the second derivative of s**5 - 43527*s**2 + 219*s + 284.
20*s**3 - 87054
What is the derivative of -114674*x**2 - 161869?
-229348*x
What is the derivative of -60*o**4 + 917*o**3 + 100829 wrt o?
-240*o**3 + 2751*o**2
What is the derivative of 1056*j*w**2 - 7504*j + 3*w**3 - w - 3 wrt w?
2112*j*w + 9*w**2 - 1
Differentiate 585259*a**4*b - a*b**3 - 21*b**3 - 2253*b**2 + 2*b + 1 wrt a.
2341036*a**3*b - b**3
What is the third derivative of 2*v**5 - 53319*v**4 - 4*v**3 - 202*v**2 + 5059 wrt v?
120*v**2 - 1279656*v - 24
Find the second derivative of 23*m**2*q*r + 100*m**2*q + 2*m**2*r + 34*m*q*r - m*q + 33*m*r + 5*q wrt m.
46*q*r + 200*q + 4*r
Find the third derivative of 1340028*b**3 + 43*b**2 + 23*b + 8.
8040168
Differentiate r**3 + 5759*r**2 - 2*r - 20225.
3*r**2 + 11518*r - 2
Find the first derivative of -71185*g*s**3*x**2 - 2*g*s*x**2 + 2*g*x**2 - 3352*x**2 + 1 wrt s.
-213555*g*s**2*x**2 - 2*g*x**2
What is the second derivative of -15*d*u**3 - 74668*d*u - 3*u**3 + 3791*u**2 - 2*u wrt u?
-90*d*u - 18*u + 7582
Find the second derivative of -1509951*n**3 - 343589*n + 1 wrt n.
-9059706*n
Find the third derivative of 184100*c**5 - 128*c**2 + c - 35.
11046000*c**2
Find the first derivative of 28*h*i**3 + 2861*h - 21*i**3 + 6*i + 6 wrt i.
84*h*i**2 - 63*i**2 + 6
Find the second derivative of 26*m**4*r - 25396*m**4 - 4*m*r + 3288*m + 33*r wrt m.
312*m**2*r - 304752*m**2
What is the third derivative of 147081*f**4 - 6*f**2 + 2433*f?
3529944*f
Find the second derivative of 18*h**3 + 47*h**2 - 2143*h - 29.
108*h + 94
What is the second derivative of -923208*z**2 + 512598*z - 2 wrt z?
-1846416
What is the first derivative of 27727*c**2*n**2 - 156438*c**2 + 2*c*n**4 wrt n?
55454*c**2*n + 8*c*n**3
What is the third derivative of -7*j**5 + 19184*j**4 - 110531*j**2 + 1?
-420*j**2 + 460416*j
Find the second derivative of -15178*i**3 - 2*i**2 + 119973*i wrt i.
-91068*i - 4
What is the second derivative of -10*i**2*p**2*u - 71*i**2*u - 72*i*p*u - 61*p**2*u - 2*p*u wrt p?
-20*i**2*u - 122*u
Find the second derivative of -3293*u**2*w**2 + 3*u**2*w + 48*u**2 - 4*u + 3*w**5 + 5*w**3 + 27 wrt w.
-6586*u**2 + 60*w**3 + 30*w
What is the second derivative of -1165*n**3 + 144523*n wrt n?
-6990*n
Find the first derivative of -54327*b**3 - 28461.
-162981*b**2
Find the second derivative of 163272*d**3*z**2 + d**3*z - 3*d**2*z - 46*z - 4 wrt z.
326544*d**3
Find the second derivative of 77*p**3 - 2124*p**2 - 82*p - 2392.
462*p - 4248
What is the third derivative of -61235*t**4 - 166*t**2 + 2718?
-1469640*t
What is the third derivative of 2*z**4 - 2056529*z**3 + 4189567*z**2 wrt z?
48*z - 12339174
Find the third derivative of -169*a**4 - 1340*a**3 + 2*a**2 - 16643*a - 3 wrt a.
-4056*a - 8040
What is the first derivative of 26399*o + 3614?
26399
Find the first derivative of 308*c**2*f**2 + 2*c**2 - 11*c + 65106*f**2 wrt c.
616*c*f**2 + 4*c - 11
Find the first derivative of 73871*c**2 - 45693.
147742*c
Find the third derivative of -2*f**5 + f**4 - 8415*f**3 - 10730*f**2 wrt f.
-120*f**2 + 24*f - 50490
What is the third derivative of 7059*v**6 + 17055*v**2 wrt v?
847080*v**3
Differentiate 34383*s**3 - 24*s - 1430609 with respect to s.
103149*s**2 - 24
Find the third derivative of i**4*q**2 + 8946*i**3*q**3 + 2*i**2*q**2 - 28*i**2*q - 101*q**3 wrt i.
24*i*q**2 + 53676*q**3
Find the first derivative of -3168*a**2 - 4*a - 264078 wrt a.
-6336*a - 4
Find the first derivative of -2364*j**3*o + 2*j**2*o**3 - j*o + 91*o**3 + 123*o**2 + 4 wrt j.
-7092*j**2*o + 4*j*o**3 - o
Find the third derivative of 4*i**3*n**4 - 2*i**3*n**2 + 364*i**2*n**2 - i**2 + 20077*i*n**4 - 63*i*n wrt n.
96*i**3*n + 481848*i*n
Find the first derivative of 45796*o**4 + 101936 wrt o.
183184*o**3
Find the second derivative of 26218*o**3 - o**2 - 6*o + 30575 wrt o.
157308*o - 2
Find the first derivative of -70*j**2 - 249*j - 121889.
-140*j - 249
What is the first derivative of 44*d**3*l + d*l*y + 440*d*l - 2*l*y + 5305*l - y - 1 wrt d?
132*d**2*l + l*y + 440*l
Find the third derivative of -15305*z**4 + 36*z**2 + 17*z wrt z.
-367320*z
Find the third derivative of -74470*u**3 - 410008*u**2 wrt u.
-446820
Differentiate -25*o*p**2 - 122620*o + 942*p**4 - 3*p**2 with respect to p.
-50*o*p + 3768*p**3 - 6*p
Find the third derivative of 16138*a**4 - 8*a**2 - 3007.
387312*a
Find the second derivative of 172973*n**2*p**2 - 30*n**2*p - 1739*n**2 - 3*n*p**4 - n*p - 3*n - p wrt p.
345946*n**2 - 36*n*p**2
Differentiate 125001*c**2*w - c**2 - 5*c*w**2 + 31458*c + 1 wrt w.
125001*c**2 - 10*c*w
What is the third derivative of -4*p**6 + 4*p**4 + 17*p**3 + 85*p**2 - 16*p wrt p?
-480*p**3 + 96*p + 102
Find the third derivative of -1001*i**2*u**3 + 20*i**2*u**2 - 3*i**2*u - 101*i*u - 2*i + u**3 wrt u.
-6006*i**2 + 6
What is the third derivative of -125*b**6 + 779*b**4*r + 7*b**2*r + 2443*b*r wrt b?
-15000*b**3 + 18696*b*r
What is the first derivative of -30*o**3*v + 19*o**2*v**2 + 44*o**2 + 15*v**2 + 7*v - 130 wrt o?
-90*o**2*v + 38*o*v**2 + 88*o
Find the second derivative of -73793*g**3 + 29697*g - 1 wrt g.
-442758*g
Find the third derivative of -14*b**5 + b**4 - 18*b**3 + 8*b**2 - 105*b + 7 wrt b.
-840*b**2 + 24*b - 108
What is the second derivative of -81*u**4 - 12*u**3 + 17*u - 97 wrt u?
-972*u**2 - 72*u
Find the second derivative of -791127*c**5*t + c**4*t - 15*c*t - 11301*c wrt c.
-15822540*c**3*t + 12*c**2*t
Find the third derivative of 673633*q**4 - 46*q**2 - 28*q - 533.
16167192*q
Find the second derivative of -168*m**3 - 163*m**2 + 152093*m wrt m.
-1008*m - 326
What is the third derivative of 80367*o**5 - 295100*o**2?
4822020*o**2
What is the derivative of -2*v**4 + 510387*v**3 - 1240832 wrt v?
-8*v**3 + 1531161*v**2
Find the second derivative of 1094357*i**2*s**2 + 54*i*s**2 + 95*i wrt i.
2188714*s**2
What is the first derivative of -4112*t**3 + 23*t + 555392?
-12336*t**2 + 23
Find the third derivative of 606628*n**4 - 146217*n**2 wrt n.
14559072*n
What is the second derivative of -110*b**2*j**3*y**3 - 411*b**2*j**2*y**3 + 9*b*j**2*y**3 - 14853*j**3*y - 2*j**2*y**3 wrt b?
-220*j**3*y**3 - 822*j**2*y**3
Find the third derivative of 8*b**5 - 16374*b**3*t**3 - 4176*b**2*t**3 - b*t**3 wrt b.
480*b**2 - 98244*t**3
Find the second derivative of -10*b**2*o**5 + 692*b**2 + 3*b*o + 3906*o**5 wrt o.
-200*b**2*o**3 + 78120*o**3
Find the second derivative of 72*k**2*u**5 - 404*k**2*u + k*u**5 - 15*u wrt u.
1440*k**2*u**3 + 20*k*u**3
Find the second derivative of 9*c**4 - 95*c**3 + 6*c**2 + c + 34778 wrt c.
108*c**2 - 570*c + 12
What is the third derivative of 250*m*z**3 + m*z**2 + 114173*m*z - 22*z**3 wrt z?
1500*m - 132
What is the third derivative of 1684*v**5 - 6*v**3 - 34*v**2 + 5*v - 10?
101040*v**2 - 36
Find the seco
|
{
"pile_set_name": "DM Mathematics"
}
|
**6/2 + 3*k**4/2 - 3*k**2/2 - 3. Suppose l(h) = 0. What is h?
-1, 0, 1
Suppose -2*z + 3*z = -54. Let v be 2/(-9) + (-174)/z. Factor 0*m**v + 1/6*m**2 + 1/3*m**5 + 0 + 0*m - 1/2*m**4.
m**2*(m - 1)**2*(2*m + 1)/6
Let y(u) = -u**2 - 4*u + 4. Let t be y(-4). Factor -s**3 + s - 11*s**4 - t*s**2 + 7*s**4 + s**5 + 7*s**3.
s*(s - 1)**4
Suppose -5*r - 33 = -4*p - 10, r = 2*p - 7. Solve -4/3*k**3 + 0*k - 2*k**4 + 2/3*k**p + 0 = 0 for k.
-1, 0, 1/3
Let l = 78 - 76. Factor 1/4*c**l - 1/2 - 1/4*c.
(c - 2)*(c + 1)/4
Let d be ((-1)/(-12))/((-40)/(-160)). Factor -1/3 + 0*j + d*j**2.
(j - 1)*(j + 1)/3
Let x(i) = 2*i**4 - 22*i**3 + 42*i**2 + 32*i - 22. Let n(t) = -4*t**4 + 43*t**3 - 83*t**2 - 65*t + 45. Let c(y) = -3*n(y) - 5*x(y). Solve c(u) = 0.
-1, 1/2, 5
Let f(m) be the second derivative of -9*m**5/20 + 7*m**4/8 - 3*m**2/4 + 14*m. Determine t so that f(t) = 0.
-1/3, 1/2, 1
Let n(h) = -h**3 + h. Let q be n(1). Factor 0*g**2 + 0*g**2 - g**5 + q*g**3 + g**3.
-g**3*(g - 1)*(g + 1)
Determine d so that -14/9*d**2 - 4/3 - 46/9*d = 0.
-3, -2/7
Factor 16*q**3 - 32*q**3 + 18 + 0*q**3 - q**4 + 3*q**4 - 48*q + 44*q**2.
2*(q - 3)**2*(q - 1)**2
Suppose 3*d - 20 = -5*b, 0 = b - 2*d - 1 - 3. Factor 1/2*s + 1/4*s**5 + 0 + 1/4*s**b - 1/4*s**2 - 3/4*s**3.
s*(s - 1)**2*(s + 1)*(s + 2)/4
Let f(b) be the first derivative of 0*b**2 - 1/4*b**4 + 0*b + 1/15*b**5 - 2 + 2/9*b**3. Factor f(o).
o**2*(o - 2)*(o - 1)/3
Let m(u) = -9*u - 162. Let b be m(-18). Factor -1/3*s**2 + 1/3*s**3 + 0 + b*s.
s**2*(s - 1)/3
Let k(v) be the second derivative of -1/5*v**2 + 0 - 1/5*v**4 - 2/25*v**5 - 2*v - 1/75*v**6 - 4/15*v**3. Solve k(a) = 0.
-1
Suppose 4*h - 45 = -h + 5*b, 0 = 2*h - b - 14. Factor -l**4 - l**4 + 2*l**2 - 6*l**3 - l**4 - h*l**2.
-3*l**2*(l + 1)**2
Factor 1/3*i**4 - 1/3*i**5 + 0*i**3 + 0*i + 0 + 0*i**2.
-i**4*(i - 1)/3
Let o(r) be the first derivative of -2*r**5/45 - r**4/9 + 2*r**3/27 + 2*r**2/9 + 43. Factor o(t).
-2*t*(t - 1)*(t + 1)*(t + 2)/9
Let k = 2/157 - -916/2041. Let -2/13*m**2 + 4/13*m**4 - 6/13*m**3 - 2/13 + k*m = 0. Calculate m.
-1, 1/2, 1
Let r(a) be the second derivative of a**8/2240 - a**7/420 + a**6/240 - a**4/6 - 2*a. Let p(q) be the third derivative of r(q). Let p(g) = 0. What is g?
0, 1
Let y(k) be the second derivative of 1/90*k**4 + 0 + 2/15*k**3 + 3/5*k**2 + 8*k. Suppose y(n) = 0. What is n?
-3
Factor -2/5*y**2 - 4/5*y + 2/5*y**3 + 0.
2*y*(y - 2)*(y + 1)/5
Let f = 239/90 + -13/5. Let y(n) be the second derivative of -f*n**4 - 2/27*n**3 + n + 0 + 0*n**2 + 0*n**5 + 1/135*n**6. Factor y(p).
2*p*(p - 2)*(p + 1)**2/9
Let f(t) = t - 3. Let d(g) = -2*g + 6. Let a(z) = 4*d(z) + 7*f(z). Let w be a(3). Solve 2 - y**3 + w - 2 = 0 for y.
0
Let w be ((-44)/(-1815)*11)/((-2)/(-5)). Solve -w*h**2 + 0 + 2/3*h = 0.
0, 1
Let o(h) be the first derivative of 0*h**2 - 3/8*h**4 + 5 + 0*h + 0*h**3 + 1/4*h**6 + 0*h**5. Factor o(p).
3*p**3*(p - 1)*(p + 1)/2
Let o(d) be the third derivative of d**6/24 - d**5/6 + 5*d**4/24 + 3*d**2 - 5*d. Factor o(n).
5*n*(n - 1)**2
Let r(o) = 21*o**3 - 35*o**2 + 6*o + 8. Let m(l) = 7*l**3 - 12*l**2 + 2*l + 3. Let d(w) = -8*m(w) + 3*r(w). Find t such that d(t) = 0.
0, 2/7, 1
Suppose -5*z + 100 = 30. Factor 24*k + 3*k**3 - z*k**2 - k**2 - 9 - 3.
3*(k - 2)**2*(k - 1)
Let z(f) be the second derivative of -f**8/8960 + f**7/2520 + f**6/2880 - f**5/240 - f**4/12 - 2*f. Let i(c) be the third derivative of z(c). Factor i(w).
-(w - 1)**2*(3*w + 2)/4
Find p such that -2/9 - 6*p**4 + 8/3*p**2 - 4/9*p + 4*p**3 = 0.
-1/3, 1/3, 1
Let q(w) be the first derivative of -w**4 - 5. Factor q(v).
-4*v**3
Suppose 5*v**2 - 4*v**2 + 4*v**2 - 4*v - 3*v**2 = 0. What is v?
0, 2
Let q be 3 + 4/(-12) + -2. Determine w, given that 8/15*w - q*w**2 + 2/15 = 0.
-1/5, 1
Factor -2*y**2 - 6*y**3 + 3*y**4 - 6*y**4 - 6*y**2 + 5*y**2.
-3*y**2*(y + 1)**2
Let x(k) = -10*k**3 + 13*k**2 + 3*k - 13. Let w(p) = -3*p**3 + 4*p**2 + p - 4. Let g(r) = -7*w(r) + 2*x(r). Factor g(q).
(q - 2)*(q - 1)*(q + 1)
Factor -12 + 22*x**4 + 9*x - 2*x**4 - 8*x**2 - 4*x**5 + 10*x**3 - 34*x**3 + 19*x.
-4*(x - 3)*(x - 1)**3*(x + 1)
Let s(n) be the second derivative of -1/10*n**6 - 1/2*n**4 + 13/40*n**5 - n + 0*n**2 + 1/84*n**7 + 0 + 1/3*n**3. Find d, given that s(d) = 0.
0, 1, 2
Suppose -h + 13 = 4*w - 2*h, -2*w - 21 = 5*h. Let l be (-18)/(-14) - 4/4. Factor -2/7*m**3 - 2/7*m**w + 2/7 + l*m.
-2*(m - 1)*(m + 1)**2/7
Let b = 4 + -2. Let x be (-52)/(-16) - b/8. Factor r**4 - r**x + 3*r**2 + r**2 + r + 0*r - 5*r**2.
r*(r - 1)**2*(r + 1)
Let k(c) = c**2 - 11*c - 22. Let r = -19 + 32. Let q be k(r). Suppose 0*i**2 - 1/4*i**q - 1/2*i + 1/4 + 1/2*i**3 = 0. Calculate i.
-1, 1
Let g = -28891/4 - -7284. Let h = g + -61. Factor h*j**4 + 3/4*j**3 + 1/4*j + 3/4*j**2 + 0.
j*(j + 1)**3/4
Factor 0*n + 9/2*n**2 + 0 - 1/2*n**3.
-n**2*(n - 9)/2
Let q(h) = -27*h + 108. Let a be q(4). Suppose -2/7*w**3 + 0*w - 3/7*w**4 + 1/7*w**2 + a = 0. What is w?
-1, 0, 1/3
Let o(u) be the first derivative of -2 + 1/6*u**2 - 2/3*u + 1/9*u**3. Factor o(s).
(s - 1)*(s + 2)/3
Let k(r) be the second derivative of r**6/10 - 3*r**5/20 - 7*r - 3. Suppose k(j) = 0. What is j?
0, 1
Let c = 61381/240 + -1023/4. Let v(q) be the third derivative of 0 - 2*q**2 + 1/480*q**6 + 0*q + 0*q**4 + 0*q**3 + c*q**5. Suppose v(i) = 0. What is i?
-1, 0
Suppose k - 2*i = 0, -4*k - 3*i - 6 = -50. Let q be (-6)/(-3) + k/(-5). Factor -6/5*p - q*p**2 - 4/5.
-2*(p + 1)*(p + 2)/5
Let g(m) be the third derivative of 0*m + 0*m**4 + 0 + 0*m**5 - 4*m**2 + 0*m**3 - 1/540*m**6 - 1/945*m**7. Factor g(o).
-2*o**3*(o + 1)/9
Let w = 47/40 - 17/40. Factor 1/2*a**5 + 0*a + 1/4 - 1/2*a**3 - a**2 + w*a**4.
(a - 1)*(a + 1)**3*(2*a - 1)/4
Let r(j) be the second derivative of -1/39*j**3 - 3*j - 1/13*j**2 + 1/130*j**5 + 1/78*j**4 + 0. Let r(f) = 0. What is f?
-1, 1
Let m be (-3)/18*(-16)/1. Suppose 102*n - 92*n = 20. Factor 2/3 - 10/3*b + m*b**n.
2*(b - 1)*(4*b - 1)/3
Let n(u) be the first derivative of 1/4*u**4 - 1 - 2*u - 3/2*u**2 + 0*u**3. Find f such that n(f) = 0.
-1, 2
Let u(m) be the second derivative of -7/18*m**3 + 0 - m + 1/3*m**2 + 1/4*m**4 - 1/12*m**5 + 1/90*m**6. Determine j so that u(j) = 0.
1, 2
Let d be (3 - 1)*3/(-2). Let b(y) = y + 5. Let k be b(d). Let -2/5*n**k + 2/5*n + 0 = 0. What is n?
0, 1
Let f(d) be the third derivative of -d**7/280 - d**6/40 - 3*d**5/80 + 27*d**2. Factor f(w).
-3*w**2*(w + 1)*(w + 3)/4
Let n(v) be the third derivative of 0*v + 1/14*v**3 - 3*v**2 + 0*v**4 + 0 - 1/140*v**5. Solve n(k) = 0.
-1, 1
Let w(h) be the first derivative of 0*h + 3/2*h**2 + h**3 + 10. Find g, given that w(g) = 0.
-1, 0
Suppose 0*y + 0 - 2/3*y**4 - 2/3*y**2 - 4/3*y**3 = 0. Calculate y.
-1, 0
Let 8*m + 16 + 16*m**2 - 7*m**2 - 2*m**2 - 6*m**2 = 0. What is m?
-4
Factor -6*w + 3 + 6*w**3 - 6*w**4 - 2*w**4 + 5*w**4.
-3*(w - 1)**3*(w + 1)
Let j = 2894/3655 - -6/731. What is k in 24/5*k + j*k**2 + 36/5 = 0?
-3
Suppose 3*r - 362 = r - 4*m, -163 = -r + 4*m. Let k be 6/(-33) - r/(-55). Factor 2/7*x**k + 2/7 - 2/7*x**2 - 2/7*x.
2*(x - 1)**2*(x + 1)/7
Let f(t) = -t**2 + 5*t - 1. Let a(b) = 3*b**2 - 19*b + 5. Let q(i) = 6*a(i) + 22*f(i). Factor q(o).
-4*(o - 1)*(o + 2)
Suppose t - 4 = -0*t. Solve 12*s**2 + s**t + 6*s**4 - 3*s**5 - 18*s**3 - 3*s + 5*s**4 = 0 for s.
0, 1
Let j(x) be the second derivative of -2*x**2 - x**3 - x + 0 - 1/6*x**4. Suppose j(y) = 0. What is y?
-2, -1
Suppose -4*s = 3*y + 8 - 0, -4*s = 8. Factor h**2 + y*h**2 - h + 1 + 3*h.
(h + 1)**2
Factor 20*t**3 + 8*t**2 - 82 + 82 - 28*t**4.
-4*t**2*(t - 1)*(7*t + 2)
Determine z, given that -2/3 + 1/3*z**5 + 2/3*z**4 - 2/3*z**3 - 7/3*z - 8/3*z**2 = 0.
-1, 2
Let b = 9128 - 730231/80. Let k(p) be the second derivative of b*p**5 - 1/12*p**3 - 7/48*p**4 + 0*p**2 + p + 0. Factor k(d).
d*(d - 1)*(9*d + 2)/4
Let a(j) = 5*j**2 - 150*j + 1125. Let n(x) = 20*x**2 - 600*x + 4500. Let b(c) = 25*a(c) - 6*n(c). Factor b(r).
5*(r - 15)**2
Determine d, given that -69*d + 63*d - 4*d**3 + 56*d**2 - 190*d = 0.
0, 7
Let i(v) = -v - 2. Let h be i(-5). Let j be h/((0 - -1)/1). Let 3*u**3 - u**4 + 0*u**2 - 2*u**j + u**2 - u = 0. What is u?
-1, 0, 1
Let v(w) be the second derivative of 2*w**7/21 - 2*w**6/15 - w**5/5 + w**4/3 + 8*w. Factor v(s).
4*s**2*(s - 1)**2*(s + 1)
Suppose -3*d = -z - 41, -4*d - d - 2*z = -83. Suppose -6*p + d = -p. Factor 6 + 0*q**4 + p*q**
|
{
"pile_set_name": "DM Mathematics"
}
|
is positive.
o**427
Simplify w**(1/8)*w/w**24*w*(w*(w/(w**(-22)/w))/w)**(-1/6) assuming w is positive.
w**(-207/8)
Simplify ((z/z**(-1/3)*z*z*z**(1/5))**14)**(3/16) assuming z is positive.
z**(371/40)
Simplify (p**10*p**3*(p/p**(3/7))/(p**(-5/3)/p))**(-1/17) assuming p is positive.
p**(-341/357)
Simplify ((h**(-2))**(-28/5))**39 assuming h is positive.
h**(2184/5)
Simplify ((v/((v*v**36)/v*v))/v**(-26))/(((v/v**(3/25))/v)/(v**(-22)*v)) assuming v is positive.
v**(-772/25)
Simplify (x*x/(x*x**1/x*x)*x*x)**(19/6)/(x**(-14)*x*(x*x**0*x)/x*x) assuming x is positive.
x**(52/3)
Simplify (z**(3/4))**(1/43)*z**2*z*z/(z/z**(1/22)) assuming z is positive.
z**(5795/1892)
Simplify (o**(3/2))**30*(o*o**(1/4))/(o/((o*o**(2/21)*o)/o)) assuming o is positive.
o**(3893/84)
Simplify (x**(2/59)/(x*x**(5/7)*x*x))/(x/(x*x**(3/5)/x))**(-3/23) assuming x is positive.
x**(-172322/47495)
Simplify ((u**(-1/5)/((u**(-5/3)/u)/u))**(6/13))**(-18) assuming u is positive.
u**(-144/5)
Simplify (x**23/(x*x**(2/27)*x*x*x))/(x**(16/7)*(x*x**(-13/5)*x)/x) assuming x is positive.
x**(17237/945)
Simplify ((r**(4/7)/r*r)/(r*r/(r/((r*r**(-22))/r))*r))/(r/(r*r**(-21/2)/r*r))**43 assuming r is positive.
r**(-6033/14)
Simplify s/s**4*s**11*(s/s**(-3))**(3/10) assuming s is positive.
s**(46/5)
Simplify (s**(-22)/s)/s**(-2/3)*s**(-20)*s**19 assuming s is positive.
s**(-70/3)
Simplify ((l**(-1/3)*l/l**0)/((l**(-2/11)/l)/l**(-3/2)))**(2/45) assuming l is positive.
l**(23/1485)
Simplify (((l/(l**(-2)*l))/l)**(-38)/(l**0/l)**15)**(1/16) assuming l is positive.
l**(-23/16)
Simplify r**(1/4)*(r**12*r)/r*(r/(r/r**(-2/39)))/(r/(r**(2/3)*r)) assuming r is positive.
r**(669/52)
Simplify (i*i*i/i**(-2/19)*i)/(i/i**(3/8))*i**(-2/13)/(i*i/i**(-8)) assuming i is positive.
i**(-13187/1976)
Simplify ((p/p**(-7))/p)/p**(-7)*(p/(p/(p**(1/3)*p)*p))**(-50) assuming p is positive.
p**(-8/3)
Simplify (f*f*f/f**(-27)*f*f*f/(f*f**9))/(((f/(f*f*f*f**(-2/41)))/f)/f*f)**(-12/7) assuming f is positive.
f**(5149/287)
Simplify (h**(1/6))**39/(h*h/((h*h**(2/19))/h)*h*h**(-2/19)) assuming h is positive.
h**(141/38)
Simplify (v**(-3))**29/(v/v**(-8)*v**(1/4)/v) assuming v is positive.
v**(-381/4)
Simplify (h/(h/h**(-1/3)))**(2/3)*(h**(-4))**(-1/15) assuming h is positive.
h**(2/45)
Simplify (d**8/(d*((d*d**15)/d)/d))/((d*d**(-6)*d)/(d/d**(-13)*d*d*d)) assuming d is positive.
d**14
Simplify (u**(1/2))**(-41)*(u**(-6/5)/u)/u**2 assuming u is positive.
u**(-247/10)
Simplify (h**(4/13)*h)**(-1/21)*(h/((h*h/h**(5/6))/h))**(-2/73) assuming h is positive.
h**(-1696/19929)
Simplify ((i*i**5*i*i)/((i/i**2)/i))/(i**(-7)*i*i*((i*i/(((i*i**5)/i)/i))/i)/i) assuming i is positive.
i**19
Simplify ((n**(-4)*n/n**0)/(n*n*(n*n/n**(1/5))/n*n*n)**(-3/4))**(-39) assuming n is positive.
n**(-117/5)
Simplify j/(j/(j**(1/4)*j*j))*j/(j/j**5)*(j**(-36)*j*j)/(j*j**(-2)) assuming j is positive.
j**(-103/4)
Simplify (n/(n**(-19)*n)*n)/(((n/(n**9*n))/n)/n)*n**(-2/15)*(n**24/n)/n assuming n is positive.
n**(793/15)
Simplify ((k*k**2/k)**(3/8)/((k*k*k**10)/(k*k**(-10)*k)))**(1/20) assuming k is positive.
k**(-77/80)
Simplify (a*(a**(-7/3)*a)/a)**(-33)/(a/a**(9/8)*a**41*a) assuming a is positive.
a**(17/8)
Simplify t/(t/((t**(-2)/t)/t)*t*t)*t*(t**(1/6)/t)/t*(t**(3/8))**(18/11) assuming t is positive.
t**(-821/132)
Simplify ((w*w**1)**(1/66)*w*w**0*w**(-1/4))**(-6) assuming w is positive.
w**(-103/22)
Simplify ((l*l**(1/2)*l*l)/(l/((l/(l/l**(-2)))/l))*(l**1)**(-2/15))**49 assuming l is positive.
l**(-931/30)
Simplify (m/((m*m/(m**(-4/9)*m)*m)/m)*m*m**4)/(((m**(-21)/m)/m)/((m**37/m)/m)) assuming m is positive.
m**(563/9)
Simplify (h/(h*h**24))/(h/h**(-3/14))*(h*h/h**28)/h**22 assuming h is positive.
h**(-1025/14)
Simplify (j/j**(-11))/j**(15/2)*(j*j*j**5*j)**(2/11) assuming j is positive.
j**(131/22)
Simplify ((p*p**(1/2)*p)/p)**(-2/17)/((p*p/(p/p**(10/3)))/p**(-4/3)) assuming p is positive.
p**(-298/51)
Simplify ((p/(p**14/p))/p*p/(p/p**(-2/23)))/((p*p**(-6/13))/p*p)**(-21) assuming p is positive.
p**(-532/299)
Simplify ((o*o*o**0*o*o)**15*(o/o**(-1/2))**(18/13))**(-19) assuming o is positive.
o**(-15333/13)
Simplify (j**(2/5)/(j*j**(7/5)*j))/(((j**(-7)/j)/j*j*j)/(j/(j*j*j**7*j))) assuming j is positive.
j**(-5)
Simplify (u**12*u**(-11))/((u*u**5)/(u/u**5)) assuming u is positive.
u**(-9)
Simplify q**(-19)*q*(q/q**17)/q*(q/((q/(q/(q/(q*q*q/q**(-16)*q)*q*q)))/q)*q)/(q*q**(12/11)*q) assuming q is positive.
q**(-199/11)
Simplify (h*h*h**(-26)*h**4)/(h*h**(-2/7)*h)**(-1/4) assuming h is positive.
h**(-137/7)
Simplify q**(-1/2)/(q*(q*q*q**(-1))/q*q*q)*q**20*q/((q/(q**6/q))/q) assuming q is positive.
q**(45/2)
Simplify y**(1/11)/((y**(-5)/y*y)/y)*y**(-9)*y**(-3) assuming y is positive.
y**(-65/11)
Simplify (w**(-2/13)/(w/(w*w**(6/13))))/(w/w**(-1))**(-2/173) assuming w is positive.
w**(744/2249)
Simplify ((i**(-15)/i)/i**(-3))/(i/(i/(i*i*i**(2/49)))*i*i/i**(-4)) assuming i is positive.
i**(-1031/49)
Simplify (((((a/(a*(a/(a*a**(-7)*a))/a))/a*a)/a)/(a/(((a*a/a**(-6/11))/a)/a)))/(a**(4/3)*a/a**(-6/11)))**(-14) assuming a is positive.
a**(392/3)
Simplify (u*u/(u/(u**2*u)))**(-3/10)/(u/(u*(u/u**(-12))/u)*u**5) assuming u is positive.
u**(29/5)
Simplify ((p**(1/11)*p*p)/((p/p**(3/4))/p))/(p**(-9/7)/p*p)**(5/3) assuming p is positive.
p**(1535/308)
Simplify (v**(5/7))**34*v*v**(-6/13)*v/v**(-5) assuming v is positive.
v**(2805/91)
Simplify (l/(l/l**38))/l*l*l*l**(5/4)*l/l**(-20)*(l*l**(1/8))/l*l assuming l is positive.
l**(499/8)
Simplify ((b/b**(1/3))/b)/(b*b/(((((b**9/b)/b)/b)/b)/b))*b**(-2/39)*(b*b**18)/b*b*b assuming b is positive.
b**(281/13)
Simplify ((z/(z*z/(z/((z*z*z*z/(z/(z*z**5*z)))/z))*z))/z)/(z**(-5)*z)*z**0/(z**(3/8)/z*z) assuming z is positive.
z**(-59/8)
Simplify (a*a**(-1/17))**(-50)*a**(4/29)*a/a**(-13)*a assuming a is positive.
a**(-15737/493)
Simplify (n**8/(n*n**1*n))/(n**(-4)*n)**(9/4) assuming n is positive.
n**(47/4)
Simplify (t**(9/2)*t/(t/(t/((t**(1/16)*t)/t))*t))**14 assuming t is positive.
t**(497/8)
Simplify (h**(-3/8)/h)**(-13/5)*(h**5)**(-4/33) assuming h is positive.
h**(3919/1320)
Simplify ((f**(-4)/f**(2/47))**(-1/11))**(-47) assuming f is positive.
f**(-190/11)
Simplify (((y/y**(-25))/y)/(y**(-3/11)*y))/(y**(1/8))**(-2) assuming y is positive.
y**(1079/44)
Simplify (w**(-30)/((w/w**(-15))/w*w))**20 assuming w is positive.
w**(-920)
Simplify (a*a**(2/5))**(1/23)/(a**(-2)/a)**(1/3) assuming a is positive.
a**(122/115)
Simplify ((d**(-3/13)/d)/d)/d**(-3)*(d*d*d**(-1/7)*d)/d**5 assuming d is positive.
d**(-125/91)
Simplify (((p**(2/3))**(-2/3))**(-11))**(1/2) assuming p is positive.
p**(22/9)
Simplify (((s/s**(-8))/(s/s**(-9/2)))/(s**(-1/2)/s)**(-4/7))**21 assuming s is positive.
s**(111/2)
Simplify ((((l*l**(-22))/l*l)/l)/l)/l**(-5)*l**(-1/31)*l*l**(-10/3) assuming l is positive.
l**(-1894/93)
Simplify (a**(2/77)/a**(-4))/(a/(a*a**(-1/11)*a))**(3/11) assuming a is positive.
a**(3620/847)
Simplify (g/(g/(g*g/(g**(-4)*g)*g)))**18/(g**(-1/3))**(-14/11) assuming g is positive.
g**(3550/33)
Simplify (m/(m/(m*m**(-4)*m)))/((m*m*m*m**(-20))/m)*(m/m**16)/m**(-14) assuming m is positive.
m**15
Simplify (s*s/s**(1/2)*s)**(-2/115)/(s*s**(1/18)*s**(-16)) assuming s is positive.
s**(6169/414)
Simplify ((l**(-8)*l*l)**0)**(-21) assuming l is positive.
1
Simplify ((d/(d*(d/(d*d**1)*d)/d)*d**(3/2))/(d**(-1/3))**3)**(-6/13) assuming d is positive.
d**(-21/13)
Simplify ((h**28*h)/h**(3/11))**47 assuming h is positive.
h**(14852/11)
Simplify ((j**(-1)*j*j*j**(-7))**(-1/10))**(-15/2) assuming j is positive.
j**(-9/2)
Simplify (k/(k**3/k*k*k))/(k*k**(2/55)/k)*(k*k**(-9)/k*k)/((((k**21/k)/k*k*k*k)/k)/k*k) assuming k is positive.
k**(-1762/55)
Simplify f**(-7)*f*f**0*(f/f**1)**3 assuming f is positive.
f**(-6)
Simplify ((f**10)**(-8/3))**(-5) assuming f is positive.
f**(400/3)
Simplify ((j*j*(j/j**2)/j*j)**(-6)*(j*j/(j**(2/13)*j))/(j/j**(-1/16)*j))**(4/37) assuming j is positive.
j**(-1501/1924)
Simplify (z**(-1)/z*z**(2/35)*z)**(22/7) assuming z is positive.
z**(-726/245)
Simplify (u**(-13)*u*u*u/(u**1*u))/(u**(-14)/u**(-10/7)) assuming u is positive.
u**(4/7)
Simplify ((a**10/a*((a*a**7*a*a*a)/a)/a)**(2/11))**(3/16) assuming a is positive.
a**(27/44)
Simplify (g**35*g/g**18)/(g**(3/10)*g**(-34)) assuming g is positive.
g**(517/10)
Simplify (y**(-13)
|
{
"pile_set_name": "DM Mathematics"
}
|
t -2/3*u**2 - 8/3*u + 10/3 = 0.
-5, 1
Let p(c) = c**2 - 5*c - 6. Let r(b) = b**2 + 4*b - 6. Let j be r(-6). Let w be p(j). Factor 2/7*q**4 + 0*q**2 + 0 + 2/7*q**3 + w*q.
2*q**3*(q + 1)/7
Suppose 14*p**3 - 9*p**3 - 4*p**3 + p**2 = 0. Calculate p.
-1, 0
Let a(w) be the first derivative of w**7/105 - w**6/75 - w**5/50 + w**4/30 + 3*w + 1. Let m(s) be the first derivative of a(s). Find l such that m(l) = 0.
-1, 0, 1
Let l(s) = -s**3 + s**2 + s - 1. Let h(b) = -2*b**4 - 28*b**3 + 18*b**2 + 22*b - 22. Let q(g) = -2*h(g) + 44*l(g). Find a such that q(a) = 0.
-2, -1, 0
Let o(k) = -125*k**3 - 152*k**2 + 178*k - 42. Let g(h) = -500*h**3 - 609*h**2 + 711*h - 169. Let z(d) = 2*g(d) - 9*o(d). Factor z(y).
5*(y + 2)*(5*y - 2)**2
Solve 0*v + 1/2*v**5 + 5/2*v**4 + 3/2*v**2 + 7/2*v**3 + 0 = 0 for v.
-3, -1, 0
Let w(s) be the first derivative of -s**6/39 + 8*s**5/65 - 5*s**4/26 + 4*s**3/39 + 8. Find a, given that w(a) = 0.
0, 1, 2
Let p = 29 - 29. Factor 0*z - 1/2*z**4 + p*z**2 + 0 + 0*z**3.
-z**4/2
Let x(y) be the second derivative of 2*y**6/15 - 2*y**5/5 + y**4/3 - 4*y. Determine k, given that x(k) = 0.
0, 1
Let x(l) = l + 10. Let s be x(-12). Let v(u) = 2*u**2 - u. Let j(g) = g**3 + g**2 - g. Let h(a) = s*v(a) + 2*j(a). Factor h(b).
2*b**2*(b - 1)
Let u be (-3 - (-2 - 0)) + 22/14. Factor u*s + 2/7 + 2/7*s**2.
2*(s + 1)**2/7
Let q(a) be the second derivative of -a**6/15 + a**5 - 4*a**4 - 10*a**3/3 + 25*a**2 + 9*a. Factor q(c).
-2*(c - 5)**2*(c - 1)*(c + 1)
Let i be 1 + 2 + 4/(-2). Suppose -b + 4 = -i. Factor 5 + 8*y + 2*y**3 - b + 8*y**2.
2*y*(y + 2)**2
Let b(j) = 5*j**4 - 33*j**3 - 27*j**2 - 16*j - 9. Let g(r) = -r**4 + 8*r**3 + 7*r**2 + 4*r + 2. Let k(n) = 2*b(n) + 9*g(n). Find d such that k(d) = 0.
-4, -1, 0
Let a(w) be the third derivative of -w**5/60 + w**4/4 - w**3/6 - 4*w**2. Let v be a(5). Suppose 2/5*b**v + 0*b**2 + 4/5*b**3 - 4/5*b - 2/5 = 0. What is b?
-1, 1
Let n be (-10)/(-8) + 3/4. Factor -2*k - 4 - k**2 + 2*k**2 - 4*k**n + 5*k**2.
2*(k - 2)*(k + 1)
Let p(f) be the second derivative of -f**5/30 + f**4/9 + f**3/3 + 2*f. What is r in p(r) = 0?
-1, 0, 3
Suppose n = 3*v + 15, -27 = n + 5*v - 2. Let l(t) be the second derivative of n*t**2 + 0*t**3 + 0*t**5 - t + 0 + 1/30*t**6 - 1/12*t**4. Factor l(o).
o**2*(o - 1)*(o + 1)
Factor -3*u**3 + 54/5 + 96/5*u**2 - 171/5*u.
-3*(u - 3)**2*(5*u - 2)/5
Let x be (6/4)/((-15)/80). Let k = x - -8. Let 0*z + 2/7*z**3 - 4/7*z**2 + k - 6/7*z**5 + 8/7*z**4 = 0. Calculate z.
-2/3, 0, 1
Let d(t) be the first derivative of 1/16*t**4 - 1/4*t**3 + 4 - 1/4*t + 3/8*t**2. Let d(c) = 0. What is c?
1
Let v(t) be the third derivative of -t**7/2520 + t**5/120 + t**4/4 - 3*t**2. Let o(x) be the second derivative of v(x). Factor o(q).
-(q - 1)*(q + 1)
Let v(b) = 10*b + 2*b**2 + 0*b**2 + b**3 - 3*b**3 + 2. Let o be 0 + (4 - 6)/(-2). Let r(t) = t**3 + t**2 - t. Let u(h) = o*v(h) + 4*r(h). Factor u(k).
2*(k + 1)**3
Let q(v) be the second derivative of -8*v**6/45 + 2*v**5/15 - v**4/36 + 23*v. Factor q(g).
-g**2*(4*g - 1)**2/3
Suppose 10*k = 5*k + 3*k. Solve 5/2*r**3 + 0 + 1/2*r**5 + 2*r**4 + k*r + r**2 = 0 for r.
-2, -1, 0
Let k(f) be the third derivative of f**6/180 - f**5/45 - 8*f**2. Let k(y) = 0. Calculate y.
0, 2
Let q(i) = i + 7. Let k be q(-5). Let a(b) be the second derivative of 0 - 2*b + 1/12*b**4 - 1/3*b**3 + 1/2*b**k. Let a(f) = 0. Calculate f.
1
Let w(q) be the third derivative of q**7/490 - q**6/840 - q**5/84 + q**4/168 + q**3/21 + 10*q**2. Suppose w(o) = 0. Calculate o.
-1, -2/3, 1
Let n = -5 + -3. Let v be n/(-2) + 3/(-3). Factor x - 3*x - v*x**2 + x**2.
-2*x*(x + 1)
Let a(j) be the second derivative of j**5/100 - 13*j**4/60 + 7*j**3/6 + 49*j**2/10 - j. Factor a(s).
(s - 7)**2*(s + 1)/5
Suppose i = 4*u - 3233, -6*i + 3*i = -u + 800. Let d = -4019/5 + u. Factor 14/5*o - 6*o**2 + d*o**3 - 8/5*o**4 - 2/5.
-2*(o - 1)**3*(4*o - 1)/5
Let f be (-41)/(-5) + -3 - 5/1. Factor f*o**2 + 1/5*o + 0.
o*(o + 1)/5
Let m = -4/229 + -2021/2290. Let h = -1/2 - m. Factor -h*n**2 + 2/5*n + 0.
-2*n*(n - 1)/5
Let l(b) be the third derivative of -b**6/360 - b**5/60 - b**4/24 - b**3/2 - 2*b**2. Let a(n) be the first derivative of l(n). Factor a(d).
-(d + 1)**2
Let m(b) = -7*b - 31. Let l be m(-5). Factor 2/3*a**2 - 1/3 - 1/3*a**l + 0*a**3 + 0*a.
-(a - 1)**2*(a + 1)**2/3
Let c(o) be the third derivative of o**9/3024 + o**8/1680 - o**3/3 + 2*o**2. Let z(u) be the first derivative of c(u). Factor z(r).
r**4*(r + 1)
Factor -16*i - 8 + 6*i**3 - 12*i**3 + 4*i**3 - 10*i**2.
-2*(i + 1)*(i + 2)**2
Let f(g) = -g**2 - 2*g - 1. Let i be f(-3). Let n be (-2)/i*(-4)/(-8). Factor n*m**2 + 1/4*m + 0.
m*(m + 1)/4
Let y = 750/217 + -54/31. Let l = -53/35 + y. Suppose l - 2/5*w**3 + 2/5*w + 0*w**2 - 1/5*w**4 = 0. Calculate w.
-1, 1
Let m(u) be the second derivative of 3*u + 1/2*u**4 + 1/10*u**5 + 0*u**2 + 2/3*u**3 + 0. Factor m(d).
2*d*(d + 1)*(d + 2)
Factor 8/5*b**3 + 2/5 + 2/5*b**4 + 12/5*b**2 + 8/5*b.
2*(b + 1)**4/5
Suppose -4/5*g**3 + 14/5*g**2 - 2/5*g**4 + 8*g + 24/5 = 0. Calculate g.
-2, -1, 3
Determine t so that 16/3*t**3 + 2/3*t**4 + 32/3 + 16*t**2 + 64/3*t = 0.
-2
Suppose 0 = -0*p - 5*p. Suppose 2*k + 5*t - 11 = p, 4*t - 14 = -3*k - t. Determine g so that -g**4 + 0*g - 1/3*g**2 + 1/3*g**5 + g**k + 0 = 0.
0, 1
Let h(o) = o**3 - 7*o**2 + 8*o - 8. Let q be h(6). Let m = -4 + q. Determine c so that 2*c + m*c + 0*c - 2*c**3 = 0.
-1, 0, 1
Let j be (-18)/5*((-26)/3)/13. Factor -j*g + 3/5*g**2 + 12/5.
3*(g - 2)**2/5
Let v(p) be the first derivative of 2*p**5/35 - p**4/14 - 2*p**3/21 + p**2/7 - 4. Suppose v(u) = 0. Calculate u.
-1, 0, 1
Let j(t) be the third derivative of t**10/15120 + t**9/3780 - t**7/630 - t**6/360 + t**4/8 + t**2. Let c(b) be the second derivative of j(b). Factor c(w).
2*w*(w - 1)*(w + 1)**3
Let q(p) be the first derivative of -p**6/120 + p**5/20 - p**4/8 + 2*p**3/3 - 2. Let z(y) be the third derivative of q(y). Solve z(u) = 0.
1
Let g(q) be the third derivative of 0*q - 1/300*q**6 + 0*q**3 + 0 + 4*q**2 + 0*q**4 - 1/75*q**5. Factor g(u).
-2*u**2*(u + 2)/5
Suppose 4*i = -i + 25, 2*f - 3*i = 15. Suppose f = -3*k, k = -5*m - 3*k - 10. Determine y so that 1/2*y**m + 2 - 2*y = 0.
2
Let q = 8 + -4. Suppose o - 21 = -q*u - 10, -o = -3*u + 17. Factor -2/3*h**3 + 0 + 2/3*h**2 + 2/3*h - 2/3*h**u.
-2*h*(h - 1)*(h + 1)**2/3
Let c(y) = 5*y**2 - 45*y + 40. Let j(k) = 2*k**2 - 23*k + 20. Let i(f) = -3*c(f) + 5*j(f). Factor i(t).
-5*(t - 2)**2
Let c(o) be the second derivative of 0*o**2 + 3/20*o**5 + 0 + 2*o + 0*o**4 - 1/2*o**3. Solve c(q) = 0.
-1, 0, 1
Let v = 2601/7 + -371. Factor -4/7*n**4 - 8/7*n + 8/7*n**3 + v + 0*n**2.
-4*(n - 1)**3*(n + 1)/7
Factor -9*f**2 + 10*f**4 + 6 - 7*f**2 + 4*f**3 + 0*f - 4*f.
2*(f - 1)*(f + 1)**2*(5*f - 3)
Factor 2/7*q**3 - 4/7 - 2/7*q + 4/7*q**2.
2*(q - 1)*(q + 1)*(q + 2)/7
Let p(s) = 12*s**5 - 9*s**4 - s**3 - 2*s**2 + 2*s - 2. Let z(j) = 48*j**5 - 36*j**4 - 3*j**3 - 9*j**2 + 9*j - 9. Let n(t) = 9*p(t) - 2*z(t). Factor n(x).
3*x**3*(x - 1)*(4*x + 1)
Let p(f) = -f**3 + 5*f**2 - 3*f - 2. Let m be p(4). Factor -2*s**2 + 4*s**m + 0*s + 2*s.
2*s*(s + 1)
Let u be 139/(-15) + (-5)/(-25). Let d = -26/3 - u. Suppose 0 - 2/5*b**2 + 2/5*b**3 - 2/5*b + d*b**4 = 0. Calculate b.
-1, 0, 1
Let k(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 1/6*b**4 + 2*b. Find f, given that k(f) = 0.
0
Solve 13*r**3 - 6 + 8*r**2 - 15*r**2 + 8*r**3 + 43*r**2 + 9*r = 0.
-1, 2/7
Let i(h) be the third derivative of -1/35*h**7 + h**2 + 3/40*h**6 + 1/20*h**5 + 0 - 3/8*h**4 + 0*h + 1/2*h**3. Suppose i(c) = 0. What is c?
-1, 1/2, 1
Let d = -54 - -219/4. Let a be (-2)/6 + (-62)/(-24). Determine o, given that -3/4*o**4 - 9/4*o**2 + a*o**3 + 0 + d*o = 0.
0, 1
Let g(n) = n**3 + 5*n**2 + 4*n. Let f = -7 + 3. Let p be g(f). Factor 3/2*t**4 + p*t + 1/2*t**2 + 0 + 1/2*t**5 + 3/2*t**3.
t**2*(t + 1)**3/2
Let h(o) be the first derivative of -o**4/18 - 8*o**3/27 - 5*o**2/9 - 4*o/9 + 3. Factor h(x).
-2*(x + 1)**2*(x + 2)/9
Let t = -139 - -139. Suppose 2/5 + t*l**2 - 2/5*l**4 + 4/5*l**3 - 4/5*l = 0. Calculate l.
-1, 1
Solve 1/4 - 1/2*b - 1/4*b**4 + 0*b**2 + 1/2*b**3 = 0 for b.
-1, 1
Let -2/3*f**3 + 0*f**2 + 0*f**4 + 0 + 2/3*f**5 + 0*f = 0. Calculate f.
-1, 0, 1
Let v = -5 + 10. Factor 3*x + 5*x**2 - 3*x**2 - 6 + v*x**2 - 4*x**2.
3*(x - 1)*(x + 2)
Solve 0 - 2/5*a + 2/5*
|
{
"pile_set_name": "DM Mathematics"
}
|
(e) 5 (f) 439
b
What is the second biggest value in -9, -1/41, -0.04?
-0.04
What is the fourth smallest value in 1/2, 1, 164/9, -2/5, -0.5, -1/5?
1/2
Which is the smallest value? (a) 7/16 (b) 70 (c) 0
c
What is the third biggest value in 0, 56, 3, -2, -3/5?
0
What is the third smallest value in 20/19, 14, -2/29?
14
Which is the fourth biggest value? (a) 1 (b) -5/6 (c) -1/5 (d) -98
d
What is the third smallest value in -1/14, 1019, 5, -1.3?
5
What is the fourth biggest value in 1/13, -0.3, -33, 0, 34?
-0.3
Which is the second smallest value? (a) 169 (b) 0.5 (c) 127
c
Which is the smallest value? (a) -1/4 (b) -0.2 (c) -1 (d) 0.329 (e) -2/89 (f) -0.3
c
Which is the biggest value? (a) 9 (b) 0 (c) -0.5 (d) 870.9
d
Which is the fifth biggest value? (a) 0.066 (b) -11 (c) 4/5 (d) 3/8 (e) -2/5 (f) -0.01
e
Which is the fifth biggest value? (a) 3 (b) -3 (c) -0.09 (d) 878 (e) -2
b
Which is the fifth smallest value? (a) -5/4 (b) -0.02 (c) 3/8 (d) 1.4 (e) -0.11
d
What is the third smallest value in 0.5, -1, 3, 133, 3.7?
3
What is the fourth biggest value in 3, -2/57, 2, -6/13, 0?
-2/57
What is the fifth smallest value in -2466, -5, 2, 0, 0.5?
2
Which is the third smallest value? (a) -0.031 (b) -0.3 (c) -2/5 (d) -38/9
b
Which is the biggest value? (a) -37 (b) 0.3 (c) -2 (d) -0.1 (e) -1/5 (f) -3/5
b
Which is the third smallest value? (a) 0.1 (b) -0.2 (c) 6 (d) 0.088 (e) 4
a
Which is the third biggest value? (a) -3 (b) 4 (c) -5/4 (d) -1.1 (e) 6/11 (f) 0.3
f
What is the third smallest value in -21/2, -2, -123, -0.05?
-2
Which is the second smallest value? (a) -10/9 (b) 10/231 (c) 22
b
What is the biggest value in -0.2, -3/4, 4, 0.7, -0.5?
4
Which is the sixth smallest value? (a) 3 (b) 76 (c) -2/17 (d) -2/5 (e) 0.5 (f) -2
b
Which is the smallest value? (a) 68 (b) -2/7 (c) 1/344
b
What is the third smallest value in 78/5, 2/7, 1, 4, 18, -5/3?
1
What is the biggest value in -0.4, -40/9, -16, -4?
-0.4
What is the fifth biggest value in -2, 2/39, 0.12, -1/2, 7?
-2
What is the second smallest value in -1/2, -1, -15, 55/3?
-1
Which is the fourth biggest value? (a) -2 (b) 0.2 (c) -2.13 (d) -4 (e) -204/13 (f) 0
c
Which is the second smallest value? (a) 2/5 (b) -823 (c) 1 (d) -5 (e) 0.3
d
What is the second biggest value in 3, 6, -0.676, -0.5?
3
What is the biggest value in -7, 0.2, 2.507, 4?
4
Which is the second smallest value? (a) -2/13 (b) -0.15 (c) -0.4 (d) -1 (e) 5.27 (f) 3
c
What is the third biggest value in 2/35, -388, 3, -0.3?
-0.3
Which is the fourth biggest value? (a) -3/2 (b) 0.845 (c) -5/2 (d) -0.4 (e) -3
c
Which is the biggest value? (a) -6 (b) -2/13 (c) -0.3931 (d) 0.5
d
Which is the biggest value? (a) -207 (b) 3 (c) -74 (d) -0.3
b
Which is the second smallest value? (a) -6.604 (b) -11 (c) -2/3
a
Which is the third smallest value? (a) 1/3866 (b) -3 (c) -4/13
a
Which is the second smallest value? (a) -122 (b) 5749 (c) 2
c
What is the biggest value in 3, -1/2, -7177?
3
Which is the sixth smallest value? (a) -2 (b) -3 (c) -1/277 (d) 1/2 (e) 0.4 (f) -0.31
d
Which is the second smallest value? (a) 37.82 (b) -3/5 (c) 3/4
c
Which is the fourth smallest value? (a) -4/5 (b) 568 (c) 0.4 (d) 0.3
b
Which is the second biggest value? (a) 0.3 (b) 7/4 (c) -4 (d) 55
b
What is the biggest value in 2.6, -0.2, 6/17, 0.2?
2.6
Which is the third biggest value? (a) -1/35 (b) -1 (c) -2/7
b
What is the third biggest value in 3, 2/35, 113, 1/6?
1/6
What is the third biggest value in 9, -4, -17.6, 1/2?
-4
What is the fifth biggest value in 806, 4, -0.4, -0.32, 5?
-0.4
What is the smallest value in -2385, -4, -7/32?
-2385
Which is the second smallest value? (a) -362 (b) -5 (c) 0.1822
b
What is the second smallest value in -4, -1/2, 210.24?
-1/2
What is the fourth biggest value in 47, 0, -0.5, -1/12?
-0.5
Which is the fifth smallest value? (a) 6/5 (b) 2 (c) -4/7 (d) -4/213 (e) 6
e
What is the second biggest value in 4, -4, -43/19, 0.4?
0.4
Which is the third smallest value? (a) -2 (b) -1/5 (c) 0.494 (d) 57 (e) -4
b
What is the third biggest value in 5, -4, 417, -3/7?
-3/7
Which is the third smallest value? (a) -0.4 (b) 7 (c) 8/23899
b
What is the biggest value in -3382, 0.3, -0.4, -3?
0.3
What is the biggest value in 2/1393, -0.1, -3, 11?
11
Which is the third biggest value? (a) -9 (b) 2248 (c) 0.2
a
What is the third biggest value in 0.419, 5, -0.01?
-0.01
Which is the second biggest value? (a) -4/127 (b) 29 (c) -2/3
a
Which is the second biggest value? (a) -0.047 (b) -0.2 (c) -6
b
Which is the third smallest value? (a) 4 (b) -1/5 (c) -117419
a
What is the second biggest value in 32, 0, -2, 150, 1/3?
32
Which is the smallest value? (a) 0.3 (b) -0.1 (c) 571 (d) 4 (e) -2/3 (f) -5
f
Which is the smallest value? (a) -32 (b) 4 (c) -0.04 (d) 0.1 (e) -3/5 (f) -1/2
a
Which is the biggest value? (a) -82 (b) -4/3 (c) 3 (d) -3 (e) 5 (f) 2/99
e
What is the biggest value in 1.2, 1, -5, -87.7?
1.2
Which is the smallest value? (a) 4 (b) -2/13 (c) 2 (d) 126
b
What is the third smallest value in -0.18, -10, -2/233?
-2/233
Which is the biggest value? (a) -4 (b) 883 (c) 0.5 (d) -1/4 (e) 4 (f) 0
b
What is the second biggest value in 0.2, -27, 22, -2/7, 4/9?
4/9
What is the fourth smallest value in 5/6, -1, -0.1136, -0.5, -1/4?
-0.1136
What is the third smallest value in -5, -3371, -0.3, 1/13?
-0.3
Which is the second biggest value? (a) -1.2 (b) 349 (c) 9
c
Which is the fifth smallest value? (a) 2/9 (b) 5 (c) 0.4 (d) 3 (e) -2363
b
What is the third smallest value in -1, -0.3, 147, 4/7, 0?
0
Which is the fifth smallest value? (a) -4 (b) -0.2 (c) -1 (d) 0.39 (e) 0
d
What is the second smallest value in 0.11, 132, -4?
0.11
What is the smallest value in -0.03, -0.2, -0.7508, 1?
-0.7508
Which is the biggest value? (a) 1 (b) 4 (c) -3/31 (d) -12 (e) 2
b
What is the smallest value in -26/109, -6, -2?
-6
What is the third smallest value in -2/657, -0.1, 20?
20
Which is the third biggest value? (a) -9/2 (b) 0 (c) 1 (d) -3 (e) -82/45
e
What is the third smallest value in -0.2, 3/4, 4, 2, 3223, 1?
1
Which is the third biggest value? (a) -38/17 (b) -443 (c) -0.3
b
What is the second smallest value in 0.1, -52, 5, 1786?
0.1
Which is the third biggest value? (a) -2 (b) -0.095 (c) -0.064
a
What is the third smallest value in 2/11, -0.1, -7297, 1/3, 5, -7?
-0.1
Which is the third biggest value? (a) 1 (b) -419.3 (c) -1
b
What is the fourth biggest value in -1/20, -1, -4, 1/4, -9, -6?
-4
What is the second smallest value in 1/15, 0.178, -3?
1/15
What is the third biggest value in -3, -2, 3, 665?
-2
What is the second smallest value in -0.185, -2/19, -2/5, -0.5, 1/4?
-2/5
What is the third biggest value in 2/7, 2, 4/15, 37/4, -5, 47?
2
What is the smallest value in -0.4, 23896, -1?
-1
What is the fourth biggest value in 395, 467, -0.1, 5?
-0.1
Which is the second biggest value? (a) -4 (b) -3/7 (c) 1922
b
Which is the biggest value? (a) 2/15 (b) 0.1 (c) -20 (d) 1/3 (e) -2
d
Which is the second smallest value? (a) 6 (b) 10 (c) -0.5 (d) 1 (e) 12
d
What is the fifth biggest value in 1/6, -3/7, 2/3, -0.26, -1?
-1
Which is the smallest value? (a) -1 (b) 1/24 (c) 4 (d) 5 (e) -0.1
a
What is the fourth smallest value in 11, 1, 5/102, -5, 9/2, 0.1?
1
Which is the smallest value? (a) 111/7 (b) 712 (c) -3/4
c
Which is the sixth biggest value? (a) -43 (b) 75 (c) 0 (d) -0.2 (e) -0.4 (f) -5
a
What is the smallest value in 1/3, 0.12, -1860?
-1860
What is the third biggest value in -38, 2/21, 2/3, 2/9, -3?
2/21
Which is the third smallest value? (a) -3 (b) -0.3 (c) -5542
b
What is the fifth biggest value in 0.1, -7.84, 2/5, 0.5, 5/2, 2/7?
0.1
Which is the fourth biggest value? (a) -0.13 (b) -2/15 (c) 0.3 (d) 3 (e) 35
a
What is the fourth biggest value in -3/8, 2, -1831, 3/8?
-1831
What is the third smallest value in 3/5, 0.1, 3, -211, -5, -2/9?
-2/9
What is the second biggest value in -1, -4/97, -86, -5?
-1
Which is the third biggest value? (a) -2775 (b) -4 (c) 2
a
Which is the fourth biggest value? (a) 2/3 (b) 2/19 (c) -0.1 (d) 313 (e) 0.16 (f) 2
e
What is the second biggest v
|
{
"pile_set_name": "DM Mathematics"
}
|
n base 5?
3
-10 (base 6) to base 5
-11
What is 1 (base 6) in base 3?
1
What is 24 (base 11) in base 8?
32
Convert -11 (base 16) to base 3.
-122
100101 (base 2) to base 9
41
Convert 50 (base 8) to base 3.
1111
Convert 2 (base 14) to base 5.
2
Convert 11 (base 4) to base 16.
5
23 (base 5) to base 13
10
What is -12 (base 7) in base 4?
-21
10 (base 2) to base 12
2
-11 (base 4) to base 15
-5
-4 (base 12) to base 8
-4
What is 3 (base 5) in base 7?
3
What is 0 (base 11) in base 10?
0
Convert 28 (base 10) to base 8.
34
-3 (base 13) to base 6
-3
Convert -408 (base 9) to base 6.
-1312
What is -3 (base 9) in base 15?
-3
Convert 100100010 (base 2) to base 13.
194
-22 (base 4) to base 12
-a
Convert 13 (base 13) to base 16.
10
39 (base 13) to base 6
120
What is 3 (base 14) in base 9?
3
Convert -20 (base 3) to base 9.
-6
3 (base 4) to base 16
3
What is -22000 (base 3) in base 12?
-160
Convert 250 (base 7) to base 13.
a3
10 (base 3) to base 15
3
10 (base 2) to base 15
2
101 (base 2) to base 15
5
103 (base 4) to base 2
10011
-1 (base 12) to base 11
-1
What is 17 (base 8) in base 2?
1111
-8 (base 12) to base 7
-11
Convert -4 (base 8) to base 14.
-4
Convert -222 (base 5) to base 10.
-62
What is 24 (base 10) in base 14?
1a
111 (base 2) to base 12
7
Convert 67 (base 10) to base 15.
47
1 (base 7) to base 14
1
Convert 10 (base 10) to base 14.
a
-222 (base 6) to base 13
-68
-3 (base 11) to base 12
-3
Convert 3 (base 12) to base 13.
3
1001 (base 2) to base 16
9
Convert 257 (base 8) to base 5.
1200
-443 (base 6) to base 11
-146
What is 1 (base 12) in base 8?
1
Convert -24 (base 14) to base 9.
-35
Convert 0 (base 9) to base 8.
0
-2 (base 3) to base 6
-2
Convert -1 (base 3) to base 15.
-1
What is 8 (base 14) in base 4?
20
Convert 10 (base 5) to base 15.
5
What is -2 (base 13) in base 7?
-2
Convert -11101 (base 2) to base 8.
-35
62 (base 7) to base 8
54
Convert 15 (base 9) to base 14.
10
Convert 58 (base 10) to base 16.
3a
20 (base 16) to base 7
44
22 (base 5) to base 2
1100
-2221 (base 3) to base 4
-1033
-8 (base 16) to base 15
-8
Convert b4 (base 13) to base 14.
a7
Convert 1 (base 13) to base 9.
1
What is 15 (base 12) in base 4?
101
Convert 231 (base 4) to base 8.
55
13 (base 6) to base 12
9
86 (base 15) to base 9
150
What is 21 (base 3) in base 10?
7
-17 (base 14) to base 12
-19
What is -1000 (base 3) in base 10?
-27
-24 (base 14) to base 10
-32
What is -17 (base 8) in base 13?
-12
What is -1341 (base 5) in base 8?
-335
Convert -220 (base 4) to base 10.
-40
-2 (base 10) to base 9
-2
Convert 1011001 (base 2) to base 15.
5e
Convert -101221 (base 3) to base 4.
-10213
What is -14 (base 13) in base 4?
-101
Convert -63 (base 11) to base 5.
-234
What is -136 (base 7) in base 9?
-84
Convert -20 (base 6) to base 5.
-22
Convert d4 (base 15) to base 4.
3013
-52 (base 13) to base 12
-57
What is 1 (base 2) in base 5?
1
Convert 3 (base 7) to base 15.
3
What is 129 (base 12) in base 14?
c9
What is -20 (base 11) in base 5?
-42
Convert -13 (base 5) to base 2.
-1000
Convert -30 (base 11) to base 5.
-113
Convert -2033 (base 4) to base 16.
-8f
Convert -120 (base 5) to base 15.
-25
What is 1a (base 14) in base 3?
220
What is 40 (base 5) in base 16?
14
Convert -28 (base 9) to base 12.
-22
What is 10 (base 7) in base 10?
7
12 (base 3) to base 4
11
Convert 1414 (base 5) to base 9.
280
What is -10 (base 3) in base 13?
-3
What is -15 (base 11) in base 2?
-10000
Convert 1000 (base 3) to base 10.
27
What is 17 (base 11) in base 5?
33
What is 38 (base 14) in base 12?
42
What is -261 (base 9) in base 7?
-430
What is -23 (base 12) in base 2?
-11011
Convert -101001 (base 2) to base 15.
-2b
What is -322 (base 6) in base 11?
-101
Convert -11 (base 4) to base 2.
-101
-1 (base 16) to base 10
-1
Convert 4 (base 7) to base 6.
4
3 (base 9) to base 3
10
What is 5 (base 7) in base 13?
5
4b (base 14) to base 6
151
Convert -21 (base 4) to base 14.
-9
What is -11 (base 4) in base 15?
-5
What is -11 (base 8) in base 14?
-9
What is -2 (base 7) in base 5?
-2
Convert -2 (base 3) to base 2.
-10
What is 14 (base 6) in base 5?
20
Convert 115 (base 11) to base 9.
162
Convert 18 (base 14) to base 16.
16
What is 18 (base 11) in base 6?
31
-4 (base 11) to base 7
-4
-3 (base 10) to base 9
-3
111 (base 2) to base 4
13
What is -137 (base 16) in base 8?
-467
-50 (base 14) to base 10
-70
What is -12 (base 7) in base 11?
-9
What is -433 (base 6) in base 5?
-1130
-30 (base 9) to base 5
-102
-6 (base 16) to base 15
-6
-1222 (base 3) to base 16
-35
0 (base 4) to base 8
0
What is 121 (base 5) in base 15?
26
-2 (base 10) to base 6
-2
What is -7 (base 11) in base 13?
-7
142 (base 5) to base 16
2f
-5 (base 11) to base 5
-10
Convert -68 (base 16) to base 10.
-104
Convert 25 (base 14) to base 4.
201
-8d (base 16) to base 14
-a1
Convert 10b (base 15) to base 4.
3230
Convert 180 (base 10) to base 9.
220
Convert 3 (base 14) to base 10.
3
Convert 9 (base 12) to base 9.
10
What is -11001 (base 2) in base 14?
-1b
Convert 3 (base 12) to base 10.
3
Convert 0 (base 13) to base 8.
0
-1010100 (base 2) to base 6
-220
Convert 6 (base 16) to base 4.
12
Convert -1a (base 16) to base 10.
-26
Convert -5 (base 11) to base 14.
-5
What is -1011010 (base 2) in base 3?
-10100
-4 (base 15) to base 3
-11
101111 (base 2) to base 9
52
8 (base 15) to base 12
8
7 (base 15) to base 6
11
What is 1 (base 9) in base 12?
1
Convert 201 (base 7) to base 9.
120
What is 111 (base 4) in base 9?
23
-1a (base 14) to base 4
-120
-10 (base 9) to base 5
-14
What is 1 (base 6) in base 2?
1
What is -1 (base 6) in base 5?
-1
What is 23 (base 9) in base 6?
33
Convert 0 (base 4) to base 14.
0
What is -a0 (base 11) in base 12?
-92
57 (base 11) to base 5
222
Convert -2 (base 13) to base 5.
-2
Convert -60 (base 11) to base 8.
-102
-7 (base 9) to base 13
-7
40 (base 7) to base 14
20
Convert -100 (base 3) to base 7.
-12
Convert -11 (base 2) to base 15.
-3
What is -10 (base 3) in base 11?
-3
Convert 25 (base 16) to base 13.
2b
-5 (base 9) to base 4
-11
What is b (base 15) in base 16?
b
Convert -4 (base 10) to base 15.
-4
Convert -3 (base 5) to base 4.
-3
What is 33 (base 12) in base 8?
47
What is -12 (base 12) in base 10?
-14
-1013 (base 4) to base 12
-5b
Convert -5 (base 6) to base 4.
-11
Convert 14 (base 13) to base 8.
21
Convert -5 (base 8) to base 5.
-10
Convert 4 (base 15) to base 8.
4
Convert -14 (base 8) to base 4.
-30
Convert 1122 (base 5) to base 12.
116
Convert 19 (base 13) to base 4.
112
Convert 1a (base 13) to base 16.
17
Convert -3 (base 10) to base 11.
-3
What is -36 (base 14) in base 7?
-66
1 (base 15) to base 6
1
What is -22 (base 3) in base 15?
-8
-4 (base 8) to base 7
-4
Convert -2 (base 4) to base 8.
-2
Convert -221 (base 6) to base 11.
-78
Convert 0 (base 9) to base 13.
0
9 (base 11) to base 9
10
What is -2 (base 7) in base 10?
-2
What is d (base 14) in base 3?
111
What is 0 (base 9) in base 7?
0
What is -5 (base 7) in base 13?
-5
What is 7a (base 16) in base 13?
95
100201 (base 3) to base 14
14a
Convert -256 (base 7) to base 8.
-213
What is 31 (base 4) in base 5?
23
What is 8 (base 9) in base 13?
8
-1444 (base 6) to base 3
-112101
What is 11 (base 3) in base 14?
4
Convert 110 (base 4) to base 2.
10100
4 (base 15) to base 12
4
1002 (base 6) to base 15
e8
What is 4 (base 15) in base 8?
4
What is 10111 (base 2) in base 11?
21
What is -21 (base 6) in base 4?
-31
What is 24 (base 10) in base 8?
30
18 (base 10) to base 16
12
What is -45 (base 8) in base 5?
-122
What is 11 (base 3) in base 14?
4
0 (base 8) to base 4
0
What is 2 (base 9) in base 11?
2
What is 61 (base 7) in base 4?
223
1 (base 12) to base 3
1
-3 (base 5) to base 8
-3
Convert 16 (base 8) to base 6.
22
What is 23 (base 4) in base 2?
1011
What is -111 (base 4) in base 16?
-15
What is 1 (base 12) in base 14?
1
What is -2 (base 6) in base 13?
-2
What is 60 (base 9) in base 8?
66
Convert -13 (base 5) to base 10.
-8
What is 20 (base 16) in base 3?
1012
What is 9c (base 16) in base 4?
2130
What is -122 (base 8) in base 7?
-145
Convert 5a (base 12) to base 13.
55
-1 (base 9) to base 11
-1
Convert 1 (base 16) to base 5.
1
3 (base 8) to base 14
3
What is 7 (base 13) in base 10?
7
1 (base 14) to base 8
1
Convert -243 (base 6) to base 3.
-10200
-23 (base 4) to base 11
-10
What is 5 (base 14) in base 5?
10
66 (base 8) t
|
{
"pile_set_name": "DM Mathematics"
}
|
omes next: 2305, 4608, 6911, 9214?
11517
What is the next term in 70, 238, 512, 886, 1354, 1910, 2548, 3262?
4046
What comes next: 152, 307, 462, 617, 772, 927?
1082
What comes next: 127, 1030, 3481, 8254, 16123?
27862
What is next in 83, 84, 85, 86, 87, 88?
89
What comes next: -21, -60, -123, -210, -321, -456?
-615
What is next in -27, -149, -353, -639?
-1007
What is next in -420, -1682, -3786, -6732, -10520, -15150?
-20622
What comes next: -6, 2, 24, 66, 134, 234?
372
What is the next term in 65, 64, 63?
62
What is next in -30, -38, -68, -132, -242, -410, -648, -968?
-1382
What is next in -1992, -3985, -5978, -7971, -9964?
-11957
What is the next term in 433, 843, 1253, 1663, 2073?
2483
What is next in -63, -60, -47, -18, 33, 112, 225, 378?
577
What is next in 139, 236, 337, 442, 551, 664, 781?
902
What comes next: -40, -66, -92, -118, -144?
-170
What is next in 102, 97, 92, 87, 82, 77?
72
What is the next term in -29, -52, -117, -248, -469?
-804
What comes next: -51, -100, -145, -186, -223?
-256
What is next in -534, -1082, -1628, -2172?
-2714
What is next in 0, 45, 136, 297, 552, 925?
1440
What is next in -1640, -3274, -4908, -6542?
-8176
What comes next: -136, -117, -82, -25, 60?
179
What comes next: -1146, -2270, -3394, -4518, -5642?
-6766
What is the next term in -1454, -1444, -1420, -1376, -1306?
-1204
What comes next: -232, -246, -252, -244, -216, -162?
-76
What comes next: 16, 31, 56, 91?
136
What is next in 680, 675, 670, 665?
660
What comes next: 135, 188, 327, 594, 1031, 1680?
2583
What comes next: -54, -135, -216, -297, -378?
-459
What is next in -5958, -11920, -17882, -23844, -29806?
-35768
What is the next term in -177, -194, -223, -264, -317, -382?
-459
What comes next: -30, -43, -22, 51, 194, 425?
762
What is the next term in -6, -14, -60, -162, -338?
-606
What is next in -125, 120, 537, 1132, 1911, 2880, 4045, 5412?
6987
What is next in -12, -71, -180, -363, -644, -1047, -1596, -2315?
-3228
What is next in 52, 142, 272, 442?
652
What comes next: 149, 152, 145, 122, 77, 4, -103, -250?
-443
What is the next term in 128, 124, 120, 116?
112
What is next in -54, -387, -1272, -2985, -5802, -9999?
-15852
What is next in 413, 473, 579, 737, 953, 1233, 1583, 2009?
2517
What is the next term in -109, -377, -831, -1465, -2273, -3249, -4387, -5681?
-7125
What is the next term in 1790, 3578, 5366, 7154?
8942
What is next in -1525, -3051, -4577, -6103?
-7629
What comes next: -677, -1352, -2027, -2702, -3377?
-4052
What is the next term in -48, -84, -122, -162, -204, -248?
-294
What is next in -18, -18, -14, -6, 6, 22, 42?
66
What is the next term in -910, -911, -912, -913, -914?
-915
What comes next: -219, -850, -1899, -3366, -5251, -7554, -10275?
-13414
What is next in 15, 224, 565, 1032, 1619, 2320, 3129, 4040?
5047
What is the next term in -250, -503, -756, -1009, -1262, -1515?
-1768
What is next in 10, 13, -6, -59, -158, -315?
-542
What comes next: 33, 38, 47, 60, 77, 98?
123
What comes next: -614, -615, -616, -617, -618, -619?
-620
What is the next term in 493, 1955, 4391, 7801, 12185?
17543
What is next in 0, 7, 22, 51, 100, 175, 282?
427
What is next in -48, -101, -166, -249, -356, -493, -666?
-881
What comes next: -28, -68, -108, -148?
-188
What is the next term in 418, 3315, 11180, 26497, 51750?
89423
What comes next: 55, 79, 131, 217, 343, 515?
739
What comes next: -3421, -3416, -3409, -3400, -3389?
-3376
What comes next: -117, -128, -135, -132, -113, -72, -3, 100?
243
What is next in -250, -509, -766, -1021, -1274?
-1525
What is the next term in 1165, 2343, 3531, 4735, 5961, 7215, 8503, 9831?
11205
What is next in -27905, -27892, -27867, -27824, -27757?
-27660
What comes next: -6, -17, -36, -57, -74, -81, -72, -41?
18
What comes next: -193, -196, -203, -214, -229, -248?
-271
What comes next: -26, -55, -84, -113, -142, -171?
-200
What comes next: 5559, 11117, 16675, 22233, 27791, 33349?
38907
What comes next: -1198, -1195, -1192?
-1189
What is the next term in -68, -119, -168, -215, -260?
-303
What is next in 121, 122, 123, 124?
125
What comes next: 56, 62, 72, 86, 104?
126
What is the next term in -116, -240, -376, -530, -708?
-916
What is next in 170, 169, 168, 167?
166
What comes next: 209, 208, 207, 206, 205?
204
What is the next term in -201, -401, -601?
-801
What is next in -19, -62, -105, -148, -191?
-234
What is next in -224, -455, -702, -971, -1268, -1599, -1970?
-2387
What comes next: -76, -205, -322, -421, -496, -541?
-550
What is next in 213, 209, 207, 207?
209
What is next in 16507, 16509, 16511?
16513
What comes next: 33, 111, 205, 309, 417, 523?
621
What is next in 69, 283, 639, 1137, 1777?
2559
What is the next term in -295, -587, -877, -1165, -1451, -1735?
-2017
What is next in 22, 29, 36?
43
What comes next: 21, 29, 35, 39, 41, 41?
39
What is next in 28, 41, 70, 121, 200, 313, 466, 665?
916
What is the next term in -73, -141, -209, -277?
-345
What is the next term in 24, -34, -196, -516, -1048, -1846?
-2964
What comes next: -89, -173, -255, -335?
-413
What is next in -85, -245, -493, -835, -1277, -1825?
-2485
What is the next term in -31, -70, -89, -76, -19, 94?
275
What comes next: -147, -301, -457, -615, -775?
-937
What is next in -149, -154, -157, -158, -157, -154?
-149
What comes next: 49, 95, 127, 139, 125, 79?
-5
What comes next: 176, 151, 124, 95, 64?
31
What is next in 882, 879, 876, 873, 870, 867?
864
What is next in -329, -335, -341?
-347
What is next in -40, -26, 4, 56, 136, 250, 404, 604?
856
What is next in 10336, 10329, 10318, 10303, 10284, 10261?
10234
What comes next: -18, -4, 12, 30, 50?
72
What is the next term in 18, 49, 102, 177, 274?
393
What is next in -108, -229, -350, -471, -592, -713?
-834
What is the next term in 7, 32, 57, 82, 107, 132?
157
What is the next term in -41, -81, -119, -155, -189, -221, -251?
-279
What comes next: 22, 47, 68, 79, 74?
47
What is the next term in 2833, 2827, 2821, 2815, 2809?
2803
What is the next term in 63, 126, 187, 246, 303, 358, 411?
462
What is next in 148, 147, 148, 151, 156?
163
What is the next term in 657, 656, 655, 654?
653
What is the next term in -26, -31, -32, -29, -22, -11?
4
What comes next: -12800, -25602, -38404, -51206, -64008, -76810?
-89612
What is next in 20, 46, 70, 86, 88, 70, 26?
-50
What is the next term in -216, -434, -640, -828, -992, -1126?
-1224
What comes next: 410, 415, 422, 431, 442?
455
What comes next: -12, -74, -188, -360, -596?
-902
What comes next: -158, -316, -474?
-632
What comes next: -154, -312, -472, -634, -798, -964, -1132?
-1302
What comes next: -93, -96, -97, -96, -93, -88, -81?
-72
What comes next: -931, -942, -967, -1012, -1083, -1186, -1327?
-1512
What is next in 142, 252, 366, 484, 606?
732
What comes next: -1018, -4056, -9126, -16234, -25386, -36588, -49846?
-65166
What is next in 73, 147, 223, 301, 381, 463?
547
What is next in -44, -74, -102, -128, -152, -174?
-194
What is next in 19, 59, 123, 211, 323, 459, 619?
803
What is the next term in -50, -27, 42, 181, 414, 765, 1258?
1917
What is next in 28, 44, 50, 40, 8?
-52
What is the next term in 692, 708, 726, 746, 768?
792
What is the next term in 25, 55, 99, 163, 253, 375, 535, 739?
993
What is the next term in 38, 113, 326, 749, 1454, 2513?
3998
What is next in 27, 70, 117, 168, 223, 282?
345
What is the next term in -21, -1, 33, 81, 143, 219, 309?
413
What comes next: 63, 138, 225, 324, 435?
558
What is the next term in 288, 202, 126, 66, 28?
18
What is the next term in -323, -646, -969, -1292, -1615?
-1938
What comes next: -771, -769, -765, -759, -751?
-741
What is the next term in -981, -952, -873, -720, -469?
-96
What is next in -1, -12, -35, -76, -141, -236?
-367
What comes next: 60, 122, 182, 240?
296
What is next in 20, 57, 110, 179, 264, 365, 482?
615
What is next in 577, 1169, 1775, 2401, 3053, 3737, 4459?
5225
What comes next: -116, -462, -1040, -1850, -2892, -4166, -5672?
-7410
What is next in 1117, 1114, 1109, 1102, 1093, 1082?
1069
What is next in -28, -35, -42, -49?
-56
What comes next: -9, -2, 7, 18, 31, 46?
63
What is next in -148, -164, -214, -316, -488, -748?
-1114
What comes next: 541, 475, 365, 211?
13
What is the next term in -503, -500, -497, -494, -491?
-488
What comes next: 780, 783, 790, 801, 816?
835
What comes next: 94, 194
|
{
"pile_set_name": "DM Mathematics"
}
|
h?
3, 7, 17
Suppose 5*s = -3*i + 35, -8*s - 5 = -3*s - 5*i. Let z = 10 + -6. Suppose -4*g + 5*g - 1 = -5*t, z*t + s = 0. List the prime factors of g.
2, 3
Let j be (1/(-2))/(6 - (-98)/(-16)). Suppose j*c = 4*y + 832, 2*y + 1047 = 5*c + 4*y. What are the prime factors of c?
11, 19
Let r(m) = m + 16. Let j be r(-14). Let g(z) = 12*z**2 - z. List the prime factors of g(j).
2, 23
Let p(x) = x**3 + 7*x**2 - 9*x - 10. Let v(s) = s**2 - 8*s - 1. Let w be v(7). Let k be p(w). List the prime factors of (4/k)/((-1)/2).
2
Suppose -5*v + 335 = -6685. What are the prime factors of v?
2, 3, 13
Suppose 3*j + 5*d = 295, -6*j - 3*d = -11*j + 435. What are the prime factors of j?
2, 3, 5
Let t(a) = 9*a**2 + 55*a + 14. List the prime factors of t(-9).
2, 31
Let x = 4899 - 2538. What are the prime factors of x?
3, 787
Let n(g) = -48*g - 392. What are the prime factors of n(-22)?
2, 83
Let d(f) = -f**2 - 14*f + 15. Let k be d(-15). Suppose -3*g + k*a = 2*a - 74, -5*a = -3*g + 109. List the prime factors of g.
2, 7
Let j be 22/(-8) - 4/16. What are the prime factors of ((-292)/12 - j)*-3?
2
Suppose -8*y - 227 = -1115. What are the prime factors of y?
3, 37
Suppose -i + 445 = 111. Let j = 610 - i. List the prime factors of j.
2, 3, 23
Let a = 1562 + 1357. What are the prime factors of a?
3, 7, 139
Suppose 0 = -2*t + 4*n + 8, n + 52 = 5*t - n. Suppose p + p + 2 = 2*d, 4*p = t. List the prime factors of d.
2
What are the prime factors of 8 - (-993 - (-4 - -11))?
2, 3, 7
List the prime factors of (50 - 28) + (1 - 4).
19
Let l = -8 + -2. Let t = -8 - l. Suppose t*b = -2*g + 4*b + 70, 0 = -2*g + 5*b + 76. What are the prime factors of g?
3, 11
Let q be (51/34)/(6/8). List the prime factors of (q + -1)/((-2)/(-334)).
167
Let m = 6940 - 4903. What are the prime factors of m?
3, 7, 97
Let f = -31 + 49. Let l(m) = m**2 - 12*m - 39. What are the prime factors of l(f)?
3, 23
Let p = 6367 + -17591. Let g be p/(-22) + (-2)/11. List the prime factors of ((-1)/3)/((-5)/g).
2, 17
Let g = 98 + -93. Suppose i - j = 149 - 30, 3*i - 357 = g*j. What are the prime factors of i?
7, 17
Suppose 5*r - 126 = -3*o + 255, -r + 84 = -2*o. List the prime factors of r.
2, 3, 13
Let m(g) = -g**3 + 5*g**2 + 2*g + 5. Let l be m(-6). Suppose -4*v + 5*h + l = 0, -v + 0*h + 92 = 4*h. What are the prime factors of v?
2, 3
Let t be 3/3*-1 + (3 - 2). Suppose 4*v + 5*s - 4*s - 569 = t, 0 = -4*v + 2*s + 554. List the prime factors of v.
3, 47
Let b(k) = -2*k**2 + 72*k + 33. What are the prime factors of b(11)?
11, 53
Let m be ((-40)/12)/(-10) + 3319/(-3). List the prime factors of m/(-21)*9/6.
79
Let p(i) = 4*i**2 - 2*i - 1. Let t be p(2). Let g = t + -9. Suppose -3*y = 3*r - 0*y - 27, y + 12 = g*r. List the prime factors of r.
7
List the prime factors of -3 - ((-37917)/(-33))/(0 - 1).
2, 3, 191
Let f = -1 - -1. Suppose q - 5 + 1 = f. List the prime factors of (17 - q) + 1 + -2.
2, 3
Let b = 702 - 378. List the prime factors of b.
2, 3
Let r(s) = 8*s - 5. Suppose -3*x + 3 = -3. Suppose 0 = x*u + 2*u - 8. What are the prime factors of r(u)?
11
Suppose 20*s - 384 = 16*s. Suppose -3*m + 6*m - 12 = 0. Suppose -m*a + s = -32. What are the prime factors of a?
2
Suppose s = j + 3*j - 44, 3*j - 33 = s. Suppose 0 = -u + j + 1. What are the prime factors of u?
2, 3
Let s = 50 - 48. Suppose 0*a - 31 = -a + 4*y, -3*a + 163 = s*y. List the prime factors of a.
3, 17
Let g = -119 + 81. Let u be (-10)/(-15) - g/(-3). List the prime factors of (0 - u/(-8))*-8.
2, 3
Let c(m) = -m**3 - 10*m**2 - 23*m - 2. Let h be c(-7). Let t = 40 + h. What are the prime factors of t?
2, 13
Let n be ((-1)/1)/((-6)/(-12)). Let g be 3/3 - n*2. Suppose -g*v - 10 + 55 = 0. What are the prime factors of v?
3
Suppose 11*k - 7*k = -72. Let o be k/(-27)*(-42)/(-4). What are the prime factors of 131/o - 10/(-35)?
19
Suppose 0 = -2*x - 5*c + 954, 0 = -0*x + x + c - 480. List the prime factors of x.
2, 241
Suppose -13*h = -48*h + 1890. List the prime factors of h.
2, 3
Let u = -296 - -685. What are the prime factors of u?
389
List the prime factors of (45/(-12))/((-1)/508).
3, 5, 127
Let m = 104 - 100. List the prime factors of -1 - ((-813)/(-6))/(m/(-8)).
2, 3, 5
Let s(w) = -2*w**3 - 7*w**2 - 48*w - 36. List the prime factors of s(-11).
3, 769
Let n be ((28/6)/2)/(23/2001). Let u = n - 71. What are the prime factors of u?
2, 3, 11
Let t = -70 - -7. Let c = 90 + t. List the prime factors of c.
3
Suppose -8 = 15*w - 11*w. What are the prime factors of (-1 - w)/((-6)/(-66))?
11
Suppose -5*h + 36 = -39. Suppose 0 = 3*i - h - 18. List the prime factors of i.
11
Let i(h) = -h**3 + h**2 - h - 1. Let y(z) = -7*z**3 - 2*z**2 - 6*z - 6. Let t(s) = -3*i(s) + y(s). List the prime factors of t(-3).
3, 23
Let h be 8/(-6) + (-48)/(-9). Suppose -h*b - b - a = -561, -3*b + 3*a = -333. List the prime factors of b.
2, 7
Let p(m) = m**3 - 7*m**2 - 5*m - 1. Let c be p(8). What are the prime factors of c/6 + -4 + 75/18?
2
Suppose -3*x + 38 - 10 = -w, 16 = -4*w. Let p = x + -14. Let n = 21 - p. List the prime factors of n.
3
Let x(n) = -2*n**2 - 12*n - 16. Let p be x(-5). List the prime factors of (-4368)/36*p/4.
2, 7, 13
Let q be 4/22 + 46/(-11). List the prime factors of (4 - -22 - -4) + q.
2, 13
Suppose -4*v - 5*u + 805 = 0, -1077 = -5*v + 2*u - 79. What are the prime factors of v?
2, 5
Let j be 11 + (-4 - (-1 + -2)). Suppose -7*q = -j*q + 168. List the prime factors of q.
2, 7
Let s be (-10)/(-15)*27/2. List the prime factors of (3/s)/(7/252).
2, 3
Suppose 7*u - 12*u + 255 = 0. List the prime factors of u.
3, 17
Suppose -3*p + 4*p = 4. Suppose 3*o - 134 = p*c, c = -o - 3*c + 34. Suppose 0*g - o = -2*g. What are the prime factors of g?
3, 7
Let c = -1205 + 5251. List the prime factors of c.
2, 7, 17
Suppose -5*u - 8 = -u. List the prime factors of 3/u + 285/6.
2, 23
Let b = -17 - -10. Let z(s) be the first derivative of -s**3/3 - 5*s**2 + 2*s + 4. What are the prime factors of z(b)?
23
Suppose -3*f + 1275 = -8*f. Let t = 395 + f. Suppose -2*b - 175 = 3*y - 8*y, -5*b = -4*y + t. List the prime factors of y.
5, 7
Let n be 2*220/8 - 3. Suppose -8*b + 3*w = -6*b - n, 3*b + w = 56. What are the prime factors of b?
2, 5
Let v = 823 + -98. Suppose 3*d + 107 - v = 0. Suppose 4*a + c - d = 29, -231 = -4*a - 5*c. List the prime factors of a.
59
Let i = 2544 - 1536. List the prime factors of i.
2, 3, 7
Let u = -80 - -53. List the prime factors of -28 - -26 - u*1.
5
Suppose -8*c = -28 + 308. Let r = c - -169. What are the prime factors of r?
2, 67
Suppose 4*n - 8 = 0, 2872 + 2500 = 4*c + 4*n. What are the prime factors of c?
3, 149
Suppose -z + p = 1 - 3, 4*z - 14 = -2*p. Suppose 10*o - z*o = 406. What are the prime factors of o?
2, 29
Suppose 10 = -0*p - 5*p. Let z be -4 + 32 + p/(-2). Let d = 47 - z. What are the prime factors of d?
2, 3
Suppose -4*b = -b + 12. Let r(p) = -p**3 + 14*p**2 + p - 12. Let g be r(14). What are the prime factors of (b/6)/(g/(-21))?
7
Let m(l) = -l**3 + 3*l**2 - l. Let g be m(2). List the prime factors of -276*((-10)/(-6) - g).
2, 23
Let c = 7 + -3. Suppose 4*a = -8*k + 3*k + 311, 3*k - c*a = 193. What are the prime factors of k?
3, 7
Suppose 42 = 3*f + 141. Suppose 0*c + 3*c = 168. Let n = c + f. What are the prime factors of n?
23
Let a = -3301 - -5294. List the prime factors of a.
1993
Let i = 512 - 492. Suppose 3*m + 8 = -m. List the prime factors of (-65)/m + 10/i.
3, 11
Suppose 0 = -0*w - 2*w + 14. Let k(v) = 4*v**2 - 4*v - 3. Let x(z) = 12*z**2 - 13*z - 8. Let i(g) = w*k(g) - 2*x(g). What are the prime factors of i(3)?
5
Let b(o) = -o - 2. Let q be -39*((-20)/(-12) + -2). Suppose -q = 4*f + 15. List the prime factors of b(f).
5
Let q(u) = 722*u**3 - 2*u**2 + 5*u - 3. List the prime factors of q(1).
2, 19
List the prime factors of ((-1356)/36)/((-2)/(-3))*-4.
2, 113
Let x(v) = 4*v**2 + 39. Let j(z) = -z**2 - z. Let y(m) = -5*j(m) - x(m). What are the prime factors of y(-11)?
3
Suppose -266 = -14*k + 13*k. List the prime factors of k.
2, 7, 19
Let p(u) = -u**3 + 12*u**2 - 12*u + 15. Let d be p(11). Suppose 4*l = d*h + 296, -5*l = 5*h - 373 - 47. List the prime factors of l.
79
Let t = -11 + 14. Suppose 0*s - 2 = 2*s - t*l, -l = -2. Suppose 3*c - 16 = s*c. What are the prime factors of c?
2
Let v(t) be the first derivative of 10/3*t**3 + 21*t + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
for m.
-34
Solve 5452*m + 7153 = 5250*m - 11027 for m.
-90
Solve 32*j - 174482 = -2234*j for j.
77
Solve -23*n - 59 = -4 - 9 for n.
-2
Solve -16492 = 808*t - 1397*t for t.
28
Solve -15372*u + 15305*u = -3216 for u.
48
Solve -811*n - 27536 - 55186 = 0 for n.
-102
Solve 24398 + 5348 = 2864*u + 3970 for u.
9
Solve 423*l + 3806 + 24791 = 4486 for l.
-57
Solve 375*g + 184052 = 2443*g for g.
89
Solve 984 = 2177946*s - 2177864*s for s.
12
Solve 12015 = 7944*a + 99048 + 48015 for a.
-17
Solve 10117*j + 1330 = 10176*j + 7997 for j.
-113
Solve 203*i = -2301 - 3086 + 12289 for i.
34
Solve -9329 + 2594 = 155*x + 860 for x.
-49
Solve 131*h = 3168 - 6771 + 3210 for h.
-3
Solve 24689*h - 24617*h - 1944 = 0 for h.
27
Solve 28592 + 17492 = -3580*z + 59876 + 97188 for z.
31
Solve 5812*i + 5330*i - 460*i = 758*i - 615288 for i.
-62
Solve 23 + 1209 = 5256*c - 5300*c for c.
-28
Solve -84*r = 165*r - 14685 - 7476 for r.
89
Solve 72*r - 7*r - 5 - 2997 - 313 = 0 for r.
51
Solve -540065*r + 540366*r + 681 - 12721 = 0 for r.
40
Solve 13*u + 16*u - 3*u = 546 for u.
21
Solve -378 - 266 = 109*u + 446 for u.
-10
Solve 14062 = -6593*u + 73399 for u.
9
Solve -84*v + 109 + 177 = 99 - 149 for v.
4
Solve -9*z - 284 = 298 - 411 for z.
-19
Solve -62522 = -329*u - 67457 for u.
-15
Solve 1518 = 386084*x - 386018*x for x.
23
Solve -41521 = 3256*w + 5030 + 54385 for w.
-31
Solve 370784*z = 370745*z - 0 - 0 for z.
0
Solve 631*b - 1025 = -530*b - 4611 - 3380 for b.
-6
Solve 799*x = 25038 + 30892 for x.
70
Solve 681*c + 714*c = 356*c + 40521 for c.
39
Solve -10854 = -22517*f + 22087*f + 326 for f.
26
Solve 0 = -155*m + 17278 - 17123 for m.
1
Solve -89445*m - 14011 = -89925*m - 39931 for m.
-54
Solve 83*m - 7*m + 1332 = -72*m for m.
-9
Solve 2334*j + 4486*j + 88660 = 0 for j.
-13
Solve -1765*a + 38381 + 46339 = 0 for a.
48
Solve 3964*d - 228258 = -163*d + 87462 - 76354 for d.
58
Solve -497*b + 96*b - 156*b - 616*b - 52785 = 0 for b.
-45
Solve -25 = 5051*l - 5052*l for l.
25
Solve -74*x = 7*x + 139*x + 660 for x.
-3
Solve -108*m + 117*m + 1254 = -57*m for m.
-19
Solve 857*i = 769*i + 792 for i.
9
Solve 116*k + 29403 - 28823 = 0 for k.
-5
Solve 324*d = 1739*d + 208005 for d.
-147
Solve 365*m = -283*m - 16*m - 1077*m + 100978 for m.
58
Solve -1448*a = 542 + 3802 for a.
-3
Solve 72*r - 315 + 443 = -376 for r.
-7
Solve 1141*r - 4562 = 1086*r + 3 for r.
83
Solve -575*h = -2600 - 17525 for h.
35
Solve 281*d - 1156 = 17578 - 5268 + 10981 for d.
87
Solve 189*u + 1016 = -8847 - 12250 for u.
-117
Solve 473 = 193*c - 159*c + 9*c for c.
11
Solve -1979 + 670 - 7256 = -571*j for j.
15
Solve -125*w - 9540 = 11*w - 948 + 3920 for w.
-92
Solve 159191 = -3633*n - 6334*n - 538604 - 129466 for n.
-83
Solve 3*m - 4061 = 91*m + 49*m + 8680 for m.
-93
Solve 850777*v - 850747*v + 1500 = 0 for v.
-50
Solve 175*v = 47*v + 1525*v + 25146 for v.
-18
Solve 803*m + 2687*m + 475*m = 340990 for m.
86
Solve 0 = 8884*h + 8520*h - 4675*h + 1553*h - 1528174 for h.
107
Solve 487*m + 15707 + 19977 - 7438 = 0 for m.
-58
Solve 369 = -51*p - 122 - 835 for p.
-26
Solve 92*c + 26722 = 24606 for c.
-23
Solve -17*r - 42*r + 742 = 33*r + 3594 for r.
-31
Solve 70*v + 1749 = -39*v + 56*v for v.
-33
Solve 0 = -1391*l - 1011*l - 11239 + 112123 for l.
42
Solve 68*q - 236240 = -239164 for q.
-43
Solve -272*y + 108*y + 72 = 255*y + 910 for y.
-2
Solve -18644 = 220*f + 100*f - 54164 for f.
111
Solve 808 = -22642*j + 22727*j - 297 for j.
13
Solve -149516*k = -149799*k - 5943 for k.
-21
Solve -3258133*j = -3258074*j + 70 + 1051 for j.
-19
Solve 0 = 2035*l + 93089 - 5584 for l.
-43
Solve 417*y = 43*y - 4084 - 3770 for y.
-21
Solve 264*h = 1762 + 4574 for h.
24
Solve -243*c - 279*c + 11520 = -625*c - 1337*c for c.
-8
Solve -2094*t = 3664*t + 2347*t + 983549 - 383779 for t.
-74
Solve -157814*d + 157812*d = -24 for d.
12
Solve -13560 = 3785*g + 3968*g - 7979*g for g.
60
Solve -161*j - 375*j = -17152 for j.
32
Solve 14968952 - 14984102 = 150*d for d.
-101
Solve -61641 = 2261*b - 24628 + 9281 + 32841 for b.
-35
Solve -1947*v - 859 = 171 - 16606 for v.
8
Solve -4773*n = 3926*n - 748114 for n.
86
Solve -23413*f - 655156 + 1138214 = -867046 - 1038022 for f.
102
Solve -81*v + 136*v + 1131*v = -410*v - 19152 for v.
-12
Solve -132549 = -6029*f + 4108*f for f.
69
Solve 103*o = 580*o + 21513 - 3864 for o.
-37
Solve 260*c + 497*c = -301*c - 92517 + 4703 for c.
-83
Solve -146*t - 22553 - 6483 = 333*t - 5086 for t.
-50
Solve -45660*v + 45445*v + 11610 = 0 for v.
54
Solve -625*t + 9357 = 164*t - 4056 for t.
17
Solve -223*o - 32*o + 4667 = -2218 for o.
27
Solve -640*f + 477*f - 4075 = 0 for f.
-25
Solve 178 = -69*d + 43 - 59 - 82 for d.
-4
Solve -1394*r + 65870 = 578*r + 2733*r for r.
14
Solve 0 = 284333*c - 284417*c + 420 for c.
5
Solve -3296*w + 9938*w = -9386*w + 1811164 for w.
113
Solve 1506 = -209*w - 1512 - 107 + 826 for w.
-11
Solve 179*z + 1060*z = 1968*z - 26244 for z.
36
Solve -12124*t + 3203 + 27785 = -41756 for t.
6
Solve -8443*a = -4269*a - 4246*a - 2160 for a.
-30
Solve -26*m + 221 - 5 + 99 = -89*m for m.
-5
Solve -55*b - 98*b + 34*b = 8*b + 5207 for b.
-41
Solve 101*u + 61074 = 855*u for u.
81
Solve 296 = -4046*r + 4012*r - 350 for r.
-19
Solve -1983*m + 2446*m = 14816 for m.
32
Solve 1816*b - 47505 - 26627 = 92*b for b.
43
Solve 2074*u + 14373 = -494*u + 132752 + 4885 for u.
48
Solve 2539 - 3575 = -1064*o - 3636 - 10168 for o.
-12
Solve -3082*k + 977170 = 7204*k for k.
95
Solve -1951*h + 175624 = -437*h for h.
116
Solve -298 = -1470*o + 1513*o + 218 for o.
-12
Solve -25503*p = -25716*p + 4260 for p.
20
Solve -40620 = 1220*o + 58200 for o.
-81
Solve 73*j + 3007 = -110*j + 48*j + 38*j for j.
-31
Solve 0 = 100*q + 596*q + 23664 for q.
-34
Solve 0 = -27*x + 104 + 652 for x.
28
Solve 885*x - 1600*x = 439*x + 1044*x - 13188 for x.
6
Solve 4083*a + 213484 = -1176*a - 1306*a + 947*a for a.
-38
Solve 0 = -48540*h + 48124*h + 22048 for h.
53
Solve 0 = 52402*p - 51675*p - 11632 for p.
16
Solve 0 = 511*u + 8644 + 1065 for u.
-19
Solve 487*l + 731 + 214 + 1409 = -568 for l.
-6
Solve -190*c - 107*c - 6132 + 1681 = 4459 for c.
-30
Solve 147383*g - 110670 = 145598*g for g.
62
Solve -1514*m + 1660*m = 10100*m - 67914 - 91350 for m.
16
Solve 1183*a + 2302*a + 3485 = 0 for a.
-1
Solve -2731*f + 40278 = 5464 - 74426 for f.
40
Solve -4297*l + 49034 - 777994 = -3168*l + 10261*l for l.
-64
Solve -66*f - 49*f - 49280 = -56640 for f.
64
Solve -37*f + 5442 = 27*f + 3182 - 6380 for f.
135
Solve 913 = -1093*y + 1010*y for y.
-11
Solve 636*y - 31794 = -496*y + 247*y + 128*y for y.
42
Solve 616*z = -10605 + 10678 - 24720 - 12929 for z.
-61
Solve 75357 + 76608 = 2385*a + 378*a for a.
55
Solve 1939*u = -14943 - 23837 for u.
-20
Solve 195*n - 42*n = -21034101 + 21038232 for n.
27
Solve 1188*z = 12*z + 77060 + 556 for z.
66
Solve 0 = 14857*n - 15976*n - 20142 for n.
-18
Solve 809934*r - 809950*r = -720 for r.
45
Solve -126*r = 9*r - 117*r - 756 for r.
42
Solve -66797*x + 133844*x - 67588*x = -50854 for x.
94
Solve -282*y - 7751 = 392*y + 12469 for y.
-30
Solve 0 = -12*h + 184403 - 184391 for h.
1
Solve 0 = 26*r - 13*r + 18*r + 36*r + 4489 for r.
-67
Solve 8404*w - 34920 = 7628*w for w.
45
Solve -1277*o + 92449 = 29876 for o.
49
Solve -852*p = 91686 - 198186 for p.
125
Solve 124*s + 370*s = -209*s + 41477 for s.
59
Solve 0 = 797*w + 27757 + 36003 for w.
-80
Solve -18*u = 4944993 - 4944057 for u.
-52
Solve 1833*x + 57461 = -26857 for x.
-46
Solve -5759 + 3097 = -121*y for y.
22
Solve -2043*t = -3224*t + 47240 for t.
40
Solve 3276 = 134*s - 290*s for s.
-21
Solve 17710*w = 16963*w - 23157 for w.
-31
Solve 71*v + 204*v - 26*v - 39*v = 9660 for v.
46
Solve 0 = 19*j + 45459436 - 45457916 for j.
-80
Solve -3790163*d = -3789988*d + 525 for d.
-3
Solve 370*b = -19*b - 134*b - 149*b + 3360 for b.
5
Solve 2903*f + 1256*f - 50347 = 99*f + 55213 for f.
26
Solve -1341*f = -2661*f + 1286*f + 2856 for f.
84
Solve 0 = -2380*k - 4190*k + 6570 for k.
1
Solve 2*p + 171 + 112 = 370 - 203 for p.
-58
Solve 42882*l = 42796*l + 10320 for l.
120
Solve -76508*b + 76450*b - 2900 = 0 for b.
-50
Solve 47*p - 54*p = -14*p - 55*p - 2666 for p.
-43
Solve 957 = -13276*k + 13243*k for k.
-29
Solve 659 = 44*t + 52*t - 60*t + 2855 for t.
-61
Solve 395*o = -143*o - 1093*o + 185*o + 49164 for o.
34
Solve -13446 =
|
{
"pile_set_name": "DM Mathematics"
}
|
260, -194, -82, 88, 328?
650
What is the next term in 29, 98, 213, 374, 581, 834?
1133
What comes next: 72, 110, 106, 54, -52, -218, -450, -754?
-1136
What is next in -96, -197, -298, -399, -500, -601?
-702
What is the next term in -41, -27, -13, 1, 15?
29
What is the next term in -55, -46, -39, -34, -31?
-30
What comes next: -699, -1405, -2109, -2805, -3487, -4149, -4785, -5389?
-5955
What comes next: 18, 12, -4, -36, -90, -172, -288, -444?
-646
What is the next term in 99, 189, 253, 279, 255, 169, 9, -237?
-581
What is next in 84, 22, -80, -222, -404, -626?
-888
What is next in -4, -11, -20, -31?
-44
What is next in -44, -6, 58, 148, 264, 406, 574?
768
What is the next term in 473, 472, 471, 470?
469
What is the next term in -27, -50, -73, -96, -119?
-142
What is next in -99, -389, -873, -1551?
-2423
What is next in 22, 48, 80, 118, 162, 212, 268?
330
What comes next: 43, 173, 391, 697, 1091, 1573, 2143?
2801
What comes next: -28, -24, -32, -58, -108, -188?
-304
What is the next term in -393, -372, -335, -276, -189, -68, 93, 300?
559
What comes next: 285, 572, 859, 1146, 1433, 1720?
2007
What is the next term in -58, -435, -1450, -3421, -6666, -11503, -18250?
-27225
What is the next term in 1763, 1776, 1797, 1826, 1863?
1908
What comes next: -59, -53, -43, -29?
-11
What is next in 15, 9, -1, -15, -33, -55, -81?
-111
What comes next: -21, -141, -453, -1053, -2037, -3501, -5541?
-8253
What is the next term in -50, -247, -586, -1067?
-1690
What is the next term in -63, -62, -61, -60, -59?
-58
What comes next: -919, -906, -895, -886?
-879
What is the next term in -63, -67, -71, -75, -79, -83?
-87
What is the next term in 4307, 4311, 4315, 4319?
4323
What is next in 9571, 19143, 28715, 38287?
47859
What comes next: 22, 20, 18, 16?
14
What is next in 508, 1018, 1528, 2038?
2548
What comes next: -16, -57, -84, -91, -72?
-21
What is the next term in 557, 2202, 4937, 8756, 13653?
19622
What is the next term in 402, 394, 386, 378, 370, 362?
354
What is the next term in 165, 333, 501?
669
What is next in -26358, -26366, -26386, -26424, -26486, -26578, -26706, -26876?
-27094
What comes next: -398, -405, -424, -461, -522?
-613
What is the next term in 4, 5, -6, -35, -88, -171, -290, -451?
-660
What comes next: 4, -95, -382, -953, -1904, -3331?
-5330
What is the next term in 86, 370, 844, 1508, 2362, 3406, 4640?
6064
What is next in 349, 368, 401, 448, 509, 584, 673?
776
What is the next term in 11, 80, 305, 764, 1535, 2696, 4325, 6500?
9299
What is next in 68, 82, 114, 170, 256, 378, 542, 754?
1020
What comes next: -307, -1201, -2691, -4777?
-7459
What is next in -1956, -1955, -1954?
-1953
What comes next: 13, 8, 1, -8?
-19
What is the next term in -26, -60, -112, -176, -246, -316, -380, -432?
-466
What is the next term in -310, -619, -932, -1249, -1570?
-1895
What comes next: -12608, -12607, -12606?
-12605
What is the next term in -18191, -18190, -18189, -18188, -18187?
-18186
What comes next: -1073, -2145, -3215, -4283, -5349, -6413, -7475?
-8535
What comes next: 1, 8, 23, 52, 101, 176, 283, 428?
617
What comes next: -217, -218, -217, -214, -209, -202?
-193
What is the next term in 84, 280, 622, 1122, 1792?
2644
What is the next term in -16117, -16119, -16123, -16129, -16137?
-16147
What is next in -393, -389, -375, -345, -293, -213, -99?
55
What is the next term in 83, 689, 2351, 5603, 10979, 19013, 30239?
45191
What is the next term in -106, -109, -112, -115, -118?
-121
What is the next term in -1, -19, -37, -55, -73, -91?
-109
What is the next term in -89, -177, -265, -353?
-441
What is next in -7, 11, 43, 89, 149, 223?
311
What comes next: -11815, -11814, -11813?
-11812
What comes next: -41, -146, -305, -506, -737, -986?
-1241
What comes next: -44, -76, -108, -140, -172, -204?
-236
What is next in -424, -426, -426, -424, -420, -414, -406?
-396
What comes next: -12, -27, -56, -99, -156, -227, -312?
-411
What is next in -7618, -15238, -22856, -30472, -38086, -45698, -53308?
-60916
What is next in -51, -53, -55?
-57
What comes next: -573, -1121, -1681, -2259, -2861, -3493, -4161?
-4871
What is next in -1670, -1660, -1646, -1628?
-1606
What comes next: -74, -257, -430, -587, -722, -829?
-902
What is next in 11, 10, -3, -34, -89, -174, -295?
-458
What is the next term in -206, -204, -202?
-200
What is the next term in -120, -543, -1268, -2295?
-3624
What is next in 24, 87, 188, 321, 480, 659, 852, 1053?
1256
What comes next: -15920, -15919, -15918?
-15917
What is next in 209, 215, 235, 275, 341, 439, 575?
755
What comes next: -68, -259, -576, -1019, -1588, -2283, -3104?
-4051
What is the next term in 26, 32, 28, 8, -34?
-104
What comes next: -660, -664, -678, -708, -760, -840?
-954
What is the next term in -2953, -2932, -2899, -2848, -2773, -2668?
-2527
What is next in -117, -136, -131, -90, -1, 148, 369, 674?
1075
What is the next term in 3, 7, 15, 27, 43, 63?
87
What comes next: -361, -713, -1069, -1429, -1793, -2161?
-2533
What comes next: -72, -122, -172, -222?
-272
What comes next: 30, 73, 128, 201, 298, 425, 588?
793
What is the next term in -1480, -2967, -4454, -5941, -7428, -8915?
-10402
What is next in -635, -657, -693, -743, -807, -885?
-977
What is the next term in -1434, -2858, -4282, -5706?
-7130
What comes next: -668, -684, -690, -680, -648, -588?
-494
What comes next: 1167, 1234, 1289, 1326, 1339, 1322, 1269, 1174?
1031
What comes next: -107, -123, -165, -245, -375, -567, -833, -1185?
-1635
What is next in 28, 224, 732, 1702, 3284, 5628, 8884?
13202
What comes next: 42, 86, 118, 132, 122, 82?
6
What comes next: 25, 42, 59, 76, 93?
110
What is the next term in -562, -576, -590, -604?
-618
What is the next term in -128, -127, -124, -119, -112, -103?
-92
What is next in 174, 188, 202, 216, 230?
244
What is next in 297, 557, 817, 1077, 1337, 1597?
1857
What comes next: 1003, 996, 985, 970, 951, 928, 901?
870
What is next in 2612, 5220, 7828?
10436
What is next in 26319, 26320, 26321, 26322, 26323?
26324
What is the next term in -9, -113, -395, -945, -1853, -3209?
-5103
What is the next term in -74, -145, -218, -293, -370?
-449
What is the next term in -83, -70, -57, -44?
-31
What comes next: 427, 437, 449, 463, 479, 497?
517
What comes next: -52, -227, -522, -937, -1472?
-2127
What is next in -37, -72, -107, -142, -177, -212?
-247
What comes next: 1338, 1335, 1332?
1329
What is the next term in -292, -475, -658, -841, -1024, -1207?
-1390
What is next in 120, 123, 128, 135, 144, 155, 168?
183
What is the next term in -244, -917, -2022, -3547, -5480, -7809, -10522, -13607?
-17052
What is the next term in 90, 91, 92, 93, 94?
95
What is next in -48, -63, -80, -99?
-120
What is next in -70, -68, -76, -100, -146?
-220
What is the next term in -25, -41, -73, -127, -209, -325, -481?
-683
What is next in -118, -475, -1070, -1903, -2974, -4283, -5830?
-7615
What is next in -542, -1082, -1622?
-2162
What comes next: -55, -46, -29, -4, 29?
70
What comes next: -187, -376, -565, -754, -943, -1132?
-1321
What comes next: 46, 124, 202, 280?
358
What is next in -1174, -1169, -1164, -1159?
-1154
What is the next term in -3828, -3829, -3830, -3831?
-3832
What is next in -42, -40, -38, -36, -34, -32?
-30
What comes next: 2523, 2510, 2483, 2436, 2363?
2258
What is the next term in 437, 439, 441?
443
What comes next: -4064, -4055, -4034, -3995, -3932, -3839?
-3710
What is the next term in -26, -38, -48, -56?
-62
What is the next term in 2, 4, 8, 14, 22, 32?
44
What is next in 132, 247, 348, 435, 508, 567?
612
What is the next term in 2, 8, 10, 2, -22?
-68
What is next in 144, 135, 114, 75, 12, -81?
-210
What is next in -141, -143, -147, -153, -161?
-171
What comes next: -4, 4, 8, 2, -20, -64, -136, -242?
-388
What comes next: 51, 106, 163, 222, 283, 346, 411?
478
What is next in 38, 23, -4, -43, -94?
-157
What comes next: 17, 79, 185, 341, 553, 827?
1169
What is the next term in 86, 83, 72, 47, 2, -69, -172, -313?
-498
What comes next: -9378, -9382, -9386, -9390, -9394, -9398?
-9402
What is the next term in 0, -15, -30, -45, -60?
-75
What comes next: 5, 17, 43, 83, 137?
205
What comes next: -82, -93, -98, -91, -66, -17, 62?
177
What is the next term in -444, -447, -450, -453?
-456
What is the next term in -16, -65, -146, -259, -404?
-581
What is the next term
|
{
"pile_set_name": "DM Mathematics"
}
|
000004
Round -0.00082821 to 5 decimal places.
-0.00083
What is -0.00004371 rounded to six dps?
-0.000044
Round 1350270000 to the nearest one million.
1350000000
What is -0.000018805 rounded to seven dps?
-0.0000188
What is -34.095 rounded to the nearest integer?
-34
What is -0.113254 rounded to two decimal places?
-0.11
Round 0.000006188 to six decimal places.
0.000006
Round 0.06516 to two dps.
0.07
Round -12056500 to the nearest 10000.
-12060000
What is 0.00044011 rounded to five dps?
0.00044
What is 0.003653 rounded to four dps?
0.0037
Round -39.3 to the nearest ten.
-40
Round -4.34 to 1 decimal place.
-4.3
What is 21940 rounded to the nearest 100?
21900
What is 0.00081634 rounded to 5 decimal places?
0.00082
Round -0.4599 to 1 dp.
-0.5
What is 18270 rounded to the nearest one thousand?
18000
What is 9826 rounded to the nearest 100?
9800
Round -2951700 to the nearest 100000.
-3000000
Round -0.0000005878 to seven dps.
-0.0000006
What is 1712100 rounded to the nearest ten thousand?
1710000
What is -1084.3 rounded to the nearest ten?
-1080
Round 183.6 to 0 decimal places.
184
Round 62.49 to the nearest integer.
62
What is -0.00000001 rounded to 7 dps?
0
What is 0.000111 rounded to 6 decimal places?
0.000111
What is -764.1 rounded to the nearest one hundred?
-800
Round -0.0007392 to four dps.
-0.0007
What is 0.02061 rounded to 3 dps?
0.021
Round 497140 to the nearest one hundred thousand.
500000
What is -2741000 rounded to the nearest 10000?
-2740000
What is -4229000 rounded to the nearest one hundred thousand?
-4200000
What is 139300 rounded to the nearest 10000?
140000
What is -0.114945 rounded to three decimal places?
-0.115
What is -0.000031 rounded to five dps?
-0.00003
Round 0.0014956 to three dps.
0.001
What is 219883000 rounded to the nearest one million?
220000000
Round 0.001166 to 4 dps.
0.0012
Round 35.459 to the nearest integer.
35
What is -1953750 rounded to the nearest one hundred thousand?
-2000000
What is -0.000000267 rounded to 7 decimal places?
-0.0000003
What is 129.96 rounded to the nearest integer?
130
What is 15810000 rounded to the nearest 100000?
15800000
What is -0.000013513 rounded to seven decimal places?
-0.0000135
What is -78600 rounded to the nearest ten thousand?
-80000
Round 0.42025 to 2 decimal places.
0.42
What is -10198000 rounded to the nearest 1000000?
-10000000
What is 0.05454 rounded to 4 decimal places?
0.0545
What is -12448.8 rounded to the nearest one thousand?
-12000
What is 2759.9 rounded to the nearest one hundred?
2800
What is -0.00000644 rounded to six decimal places?
-0.000006
Round -7.876 to the nearest integer.
-8
What is -0.0001839 rounded to four decimal places?
-0.0002
Round 0.01015 to 3 dps.
0.01
Round 96560 to the nearest ten thousand.
100000
Round 106.24 to the nearest 10.
110
What is 9050.3 rounded to the nearest 1000?
9000
Round 1.853 to one decimal place.
1.9
Round -2.5584 to one dp.
-2.6
What is 0.00000108585 rounded to seven dps?
0.0000011
What is -4725100 rounded to the nearest 100000?
-4700000
What is -157.403 rounded to the nearest 10?
-160
Round 0.1355 to 2 dps.
0.14
Round 10.313 to 1 dp.
10.3
Round 2460200 to the nearest one hundred thousand.
2500000
What is -268.398 rounded to the nearest integer?
-268
Round -0.0086588 to 4 decimal places.
-0.0087
What is 1.8653 rounded to two decimal places?
1.87
What is -194.6 rounded to the nearest one hundred?
-200
What is -5319 rounded to the nearest one thousand?
-5000
What is -0.14376 rounded to 2 decimal places?
-0.14
Round -0.00201 to 2 dps.
0
Round -0.0053643 to 3 dps.
-0.005
Round -0.024797 to 3 decimal places.
-0.025
Round 0.000592 to 5 dps.
0.00059
Round 8582.3 to the nearest one hundred.
8600
Round -18.65 to the nearest integer.
-19
Round -0.0137348 to three decimal places.
-0.014
Round -7614.8 to the nearest 1000.
-8000
What is -0.000008274 rounded to 6 decimal places?
-0.000008
Round -0.000032498 to 5 decimal places.
-0.00003
What is -5712.9 rounded to the nearest 1000?
-6000
What is -0.00002184 rounded to six decimal places?
-0.000022
What is 1.343 rounded to one dp?
1.3
Round -60.5 to the nearest integer.
-61
Round 41830000 to the nearest one million.
42000000
What is -0.000048 rounded to 5 decimal places?
-0.00005
What is -3.98 rounded to 1 dp?
-4
What is -274.3 rounded to the nearest ten?
-270
Round 435740 to the nearest one hundred thousand.
400000
Round -355730 to the nearest 1000.
-356000
Round -27.192 to 1 decimal place.
-27.2
Round -20.327 to 1 dp.
-20.3
Round -0.000010255 to 7 decimal places.
-0.0000103
Round 0.000001076 to 7 dps.
0.0000011
What is -0.0020304 rounded to four dps?
-0.002
What is -3742000 rounded to the nearest 100000?
-3700000
Round -4.1571 to one decimal place.
-4.2
Round -0.0055876 to four dps.
-0.0056
What is 7282000 rounded to the nearest 100000?
7300000
What is -0.03791 rounded to 2 decimal places?
-0.04
What is 0.0746 rounded to three dps?
0.075
What is 0.3641 rounded to 2 dps?
0.36
Round 5.147 to the nearest integer.
5
Round -199220000 to the nearest one million.
-199000000
What is 1160 rounded to the nearest one hundred?
1200
Round -999.38 to the nearest integer.
-999
What is -4.3165 rounded to the nearest integer?
-4
What is -2.323 rounded to 1 dp?
-2.3
Round 391930000 to the nearest 1000000.
392000000
What is -1629 rounded to the nearest 100?
-1600
Round 94630 to the nearest 10000.
90000
Round 0.00000151 to six dps.
0.000002
What is 34880000 rounded to the nearest one million?
35000000
What is -478570 rounded to the nearest one thousand?
-479000
Round 0.063461 to 2 decimal places.
0.06
What is 34220 rounded to the nearest 10000?
30000
What is -0.00000306 rounded to six decimal places?
-0.000003
What is -98.1 rounded to the nearest 100?
-100
What is -0.5251 rounded to one decimal place?
-0.5
Round -18.409 to the nearest integer.
-18
Round -602740 to the nearest one hundred thousand.
-600000
What is -2355230 rounded to the nearest ten thousand?
-2360000
What is -29.71 rounded to 0 dps?
-30
Round -156 to the nearest ten.
-160
What is -20854500 rounded to the nearest one hundred thousand?
-20900000
Round 0.48835 to 2 dps.
0.49
Round -0.0000060986 to 7 dps.
-0.0000061
Round 0.208119 to three dps.
0.208
Round 24700000 to the nearest one million.
25000000
Round -35.06 to the nearest integer.
-35
Round 81411 to the nearest 1000.
81000
Round 6.9349 to the nearest integer.
7
What is -7.419 rounded to 0 dps?
-7
Round -354900 to the nearest 10000.
-350000
Round 427.26 to the nearest ten.
430
What is -6.234 rounded to one dp?
-6.2
What is 351500000 rounded to the nearest 1000000?
352000000
Round 744960 to the nearest ten thousand.
740000
Round 4395 to the nearest 100.
4400
Round -0.022398 to 4 dps.
-0.0224
Round 0.0000003779 to 7 dps.
0.0000004
Round 311446 to the nearest 10000.
310000
What is 0.10991 rounded to three dps?
0.11
What is -11152 rounded to the nearest one hundred?
-11200
What is -1.169 rounded to one decimal place?
-1.2
What is -42100 rounded to the nearest ten thousand?
-40000
Round 3130.19 to the nearest ten.
3130
What is 46.363 rounded to the nearest integer?
46
What is -1932100 rounded to the nearest 100000?
-1900000
What is 0.229304 rounded to 3 decimal places?
0.229
Round -25960 to the nearest ten thousand.
-30000
What is 0.0001934 rounded to four decimal places?
0.0002
What is -888600 rounded to the nearest 10000?
-890000
Round 0.000006234 to seven decimal places.
0.0000062
Round 109950 to the nearest ten thousand.
110000
Round -1442 to the nearest one hundred.
-1400
Round -0.0128909 to three dps.
-0.013
What is -1613000 rounded to the nearest 10000?
-1610000
Round 109.321 to the nearest ten.
110
Round 40.93 to the nearest integer.
41
Round 0.02543 to three dps.
0.025
Round -0.001451 to four dps.
-0.0015
What is 0.000423 rounded to four dps?
0.0004
Round 60.332 to the nearest ten.
60
Round 0.00000018938 to seven dps.
0.0000002
Round -40901 to the nearest ten thousand.
-40000
What is 3710 rounded to the nearest 1000?
4000
What is 0.1526 rounded to two dps?
0.15
What is 0.01069 rounded to 4 dps?
0.0107
Round -18641000 to the nearest one million.
-19000000
What is 0.02582 rounded to three dps?
0.026
Round -0.000005812 to 6 decimal places.
-0.000006
What is -4.636 rounded to one dp?
-4.
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*f + 26. Let r(j) = -j**3 - 5*j**2 + 7*j + 4. Let y be r(-6). Is (1772/12 + y/(-6))/b composite?
True
Let g(b) be the first derivative of 5*b**3/3 + b**2/2 + 13*b - 2. Let w be -2 + 0 + 11 + 2. Is g(w) prime?
False
Suppose 35*i - 40*i + 151345 = 0. Suppose 4*a - i = -5*k, a - k = -4*a + 37800. Is a composite?
False
Let r be -4 + (-3252 - (5 - 4)). Let j = r + 10168. Is j prime?
True
Let n(q) = 3*q**3 - 18*q**2 + 8*q - 14. Let x be n(-9). Let y(f) = -f - 14. Let d be y(0). Is d/77 - (2 + x/11) a prime number?
True
Let d = -356 + 539. Let x = -318 + d. Let a = -77 - x. Is a composite?
True
Let v(w) = 29*w**2 - 109*w - 2307. Is v(76) prime?
True
Let x = -14 + 38. Suppose 11*v - x = 9. Suppose 3*g - 2667 = -2*w, -v*w + 1044 = g + 155. Is g a composite number?
True
Is -12 - (-43477 - 3) - -9 a prime number?
False
Suppose -1323 - 1385 = -4*f. Suppose -2*w - 1555 = -u, u - 3*w - 875 - f = 0. Is u composite?
True
Suppose -15*t + 14*t = 3*h - 147991, -3*h = 0. Is t composite?
True
Suppose 66*k + 30*k - 151618848 = 0. Is k a prime number?
True
Suppose -4*g + 2*s = -1417688, -1854*s + 1856*s = -4. Is g composite?
False
Suppose 15*l + 3*h = 13*l + 88256, -2*h + 12 = 0. Is l prime?
True
Suppose -5*n + 12*n - 9175965 = -62*n. Is n composite?
True
Suppose -23*m - 1419195 = -22*u - 22*m, -5*m = -u + 64494. Is u composite?
True
Let r(u) = -u**2 - 7*u + 2. Let z be r(-7). Let k be z + -6 + (-106)/2. Let c = 398 + k. Is c a composite number?
True
Suppose 0 = -27*y + 20*y + 652309. Is y a composite number?
False
Let b(j) = j**3 - 19*j**2 - 17*j + 1. Let p(f) = -f**3 + f + 1. Let q(u) = -b(u) - 2*p(u). Is q(-18) composite?
True
Suppose 84*a = 252588 + 24528. Is a composite?
False
Suppose 2*q - 1 = 7. Let m be (q + 1)*14/35. Suppose 0*a - 2*j + 353 = 3*a, a - m*j - 123 = 0. Is a a composite number?
True
Let l(m) = 83*m - 21. Let w be l(7). Let d = w + 277. Suppose 5*k - 398 - 3809 = -c, -d = -k + 2*c. Is k composite?
True
Let p be (20 - 3) + 0 + 1. Let z be (22/(-6) - -3)/((-2)/p). Let j = 65 - z. Is j composite?
False
Suppose 475*o - 472*o = 433023. Is o prime?
True
Let s be (28/21)/(3/(-5337)). Let w = 4801 + s. Is w a composite number?
True
Let c be (-108)/(-168)*(-1 - -5)*14. Suppose 6*q + c - 4080 = 0. Is q a prime number?
False
Is 157/(1518936/(-151896) - -10) prime?
False
Let w = 112887 + -26690. Is w a prime number?
True
Let z = -13 + 16. Suppose -1166 = -z*x + 274. Let d = x + 193. Is d a prime number?
True
Let v(x) = 61*x**2 - 28*x - 13. Let r be v(-26). Suppose 26*p = 19*p + r. Is p composite?
True
Suppose 28*z = 40*z - 36*z + 18643224. Is z a prime number?
True
Let r(b) be the first derivative of 164*b**3/3 + 7*b**2/2 + 16*b + 19. Is r(-3) a prime number?
True
Let o(m) = 1237*m**2 - 15*m - 129. Is o(-7) prime?
True
Let q(v) = 2*v**3 + 4*v**2 - 12*v + 1069. Is q(0) composite?
False
Let u(v) = 4*v**3 - 10*v**2 + 7*v - 23. Let r be u(-8). Let p = r - -4481. Is p composite?
True
Let l(c) = -c**3 + c + 2. Let t be l(0). Suppose -3*o - t*v = 7307, -2*v - 2288 = o + 145. Is 20/(-50) - o/5 a prime number?
True
Is -19*(5/3 - 2)*(7052 + -161) composite?
True
Let i = 5174 + -3366. Suppose 0 = -5*n + i + 2627. Let b = n + 932. Is b composite?
True
Let j(z) be the first derivative of -z**2 - 19 + 13/2*z**4 + z**3 + 5*z. Is j(4) a prime number?
True
Suppose -25*g + 24*g + 180436 = 2*i, 4*i = 2*g + 360896. Is i a prime number?
False
Let p(r) = 789*r - 10 - 2 - 790*r. Let f be p(-7). Let l(x) = 28*x**2 - 1. Is l(f) a prime number?
False
Suppose 25*l + 7736 = 21*l. Let n = l + 3343. Is n composite?
False
Suppose 0 = -7*s + 15989 + 280006. Suppose 3*g = s + 48432. Is g composite?
True
Suppose 0 = -12*u - 48526 + 11962. Let p = u + 6318. Is p composite?
False
Is ((-90)/(-12) + -6)/((-48)/(-5119072)) a composite number?
True
Let o = -36 + 36. Suppose 8*q - 27388 - 4348 = o. Is q a composite number?
False
Let o(g) = 1707*g**2 - 168*g + 2. Is o(-5) composite?
False
Let a = -831 - -589. Let k be 1485/3 - (3 + -1). Let g = k + a. Is g a prime number?
True
Let v(n) = 374*n**3 + 4*n**2 + 3*n + 7. Is v(6) a composite number?
False
Let n be (38 - -3 - 0)/(6 + -5). Suppose 71829 = n*k - 8572. Is k a composite number?
True
Suppose 0 = 29*v - 1005718 - 1902373. Is v prime?
True
Suppose 0 = 5*x - 16 + 6. Suppose x*o + 100 = 7*o. Suppose -o = -4*a, 3*a - 4*a = 2*k - 175. Is k a prime number?
False
Suppose 122 = -15*g + 17. Is (520/(-70) - -7) + (-12764)/g a composite number?
False
Is 12083422/28 - 63/(-294) a prime number?
False
Let y be 16/(-56) - (-4)/14. Let d be 7 + 12/(-3) - y. Suppose -d*v + 4*n + 203 = 0, 2*n + 66 = v - n. Is v prime?
False
Suppose -39*s - 21*s = -634740. Is s composite?
True
Let c(s) = s**2 + 16*s - 61. Let m be c(-19). Let v(a) = -1555*a - 23. Is v(m) composite?
False
Let l be 1/((10/25)/2). Suppose 0 = -4*k + j - 1267, 4*k + 9*j + 1292 = l*j. Let u = k + 1525. Is u composite?
True
Let m = 2573 - 1641. Suppose -d - 3*d = 5*c - 20, -4 = -2*d - c. Suppose 2*r + m - 4450 = d. Is r a prime number?
True
Let z = 1121008 - -250423. Is z a prime number?
True
Let n = -113 + -39. Let m = n - -248. Suppose -2*w + m = -10. Is w composite?
False
Let x be ((-638)/(-12) + (-10)/60)*2. Is (4/10)/(x/663295) prime?
True
Suppose -2*b = 4*z - 3918, 0 = 3*b - 5*z - 1526 - 4296. Is b a composite number?
False
Suppose -5*p + 25 = 0, -4*o - 22*p = -24*p - 134. Is 6114/7*126/o a prime number?
False
Suppose -488939 = -3*p - 8*p. Is p composite?
False
Let n = 135 - 133. Suppose 5*i - 4*z = 3373, 4*i + z = -n*z + 2686. Is i a prime number?
True
Let w(f) = -60*f - 23. Suppose 0 = 5*v + 3*d + 130, 2*v + 5*d + 44 = -27. Is w(v) prime?
False
Let q(a) = a**2 + 3*a + 11. Let p be q(-15). Suppose -12812 = -p*t + 187*t. Is t a prime number?
True
Is (6999327/(-72))/(8/(-64)) a composite number?
True
Suppose -5*j - 4*c + 12 = 0, -j - j + 4*c - 12 = 0. Suppose 7*w = -j*w + 497. Suppose w*o = 66*o + 265. Is o a composite number?
False
Let b(g) be the first derivative of -151*g**2 + g - 15. Let i be b(-1). Suppose 137 = 8*h - i. Is h composite?
True
Suppose -4*g - 5*m + 103926 = 0, 5*m - 3635 - 126280 = -5*g. Is g a composite number?
True
Let o be 0*(-4 - -3) - 0. Suppose 5*b = -o*b + 7700. Suppose 2720 = 5*m + 5*f, b + 89 = 3*m + 2*f. Is m a prime number?
True
Let y be 30/20 - 2/4. Let s(d) = 2786*d**2 + 1. Is s(y) a prime number?
False
Suppose l = 4*f + 59 + 368, 0 = 3*l + 5*f - 1230. Suppose -3*u - 1 = -2*y, -84*y + 86*y = -5*u + 41. Suppose 3*h + l = y*h. Is h a composite number?
False
Let d(i) = 206993*i**3 + i**2 - 2*i + 1. Is d(1) a prime number?
True
Let t(k) = -1966*k - 401. Is t(-3) a composite number?
True
Let v = 373284 + 1106057. Is v a prime number?
True
Let j(g) = 33 + 6*g - 3*g + 8 - 15. Let f be j(-8). Suppose -3*n - 6337 = -f*h + 768, h = n + 3550. Is h composite?
True
Suppose 2*f + 2*i = -156, -2*f - 5*i - 118 - 44 = 0. Let n = 267 + f. Is n a prime number?
True
Is ((-60)/7)/(-5) + 19594062/42 a prime number?
False
Let f(z) = 36070*z**2 - 10*z - 37. Is f(2) a prime number?
True
Suppose -2*m + 37 = 2*c - 19, -m = 3*c - 76. Suppose 4*t = -2*f + 87598, 3*t - 131397 = -27*f + c*f. Is f prime?
False
Let h = 46 + -44. Let c = -3 + h. Is 1816 + 5 + 4*c prime?
False
Let b(s) = -4 - 17*s + 9*s - s**3 + 7*s + 3*s**2 + 3*s. Let t be b(2). Suppose 0 = t*k - 231 - 157. Is k prime?
True
Is (-76)/(-570) + 6/(-2) + (-110176)/(-330) composite?
False
Suppose 78*w - 77*w = 10. Let d = 10 + w. Suppose 19*t - d*t = -491. Is t a prime number?
True
Let g(x) = -7*x - 50. Let r be g(-8). Suppose 3*i - 4*d = 22, 3*i + 0*i + r = -3*d. Is -1*i/((-8)/1052) prime?
True
Suppose 14964635 + 27918772 = 63*m. Is m a prime number?
False
Let n = -6088 + 53045. Is n a composite number?
False
Is 25885 - 53 - (-1 - -14) a composite number?
False
Is 7/(-280)*-288296*(3 - -2) composite?
False
Let j(q) be the third derivative of 11*q**8/4032 - q**7/1260 + q**6/144 + q**5/5 + 8*q**2. Let f(k) be the third derivative of j(k). Is f(4) a composite number?
True
Let f(k) be the first derivative of 2*k**3 - 4*k**2 + 9*k**3 - 10*k**3 - 24*k + 9. Is f(17) prime?
False
Suppose 15042069 = -213*i + 25725024 + 33834684. Is i prime?
False
Let o(v) = 2869*v**2 - 51*v - 57. Is o(-5) a prime number?
False
Let z(d) = -3*d + 14. Let y
|
{
"pile_set_name": "DM Mathematics"
}
|
04?
-34304142
In base 2, what is 1101000101001000101 - 1?
1101000101001000100
In base 7, what is -35253615 + -21?
-35253636
In base 8, what is 16357 + 5731?
24310
In base 4, what is 13211023301 - 20?
13211023221
In base 7, what is 2361440 + 11?
2361451
In base 10, what is 1 - 1075840?
-1075839
In base 8, what is -552 - -57362?
56610
In base 7, what is 124 - 16323063?
-16322636
In base 6, what is 220 - 403145?
-402525
In base 16, what is 3769 - -8b6?
401f
In base 9, what is 1522 + 1815?
3437
In base 7, what is 3 - 11554350235?
-11554350232
In base 11, what is -143 - 986895?
-986a28
In base 16, what is -89 + 31dac?
31d23
In base 5, what is 320 + 1341110102?
1341110422
In base 2, what is 1010001011100111 - 1110001011?
1001111101011100
In base 5, what is 4 - 1220312012?
-1220312003
In base 6, what is 14504 - -2041501?
2100405
In base 4, what is -10201121 - 202131?
-11003312
In base 11, what is 4237777 + -5?
4237772
In base 6, what is -10 + -25345135?
-25345145
In base 8, what is -1406563507 - -1?
-1406563506
In base 14, what is -7a5b7 + 2d?
-7a588
In base 12, what is -208 - a787a?
-a7a86
In base 2, what is 1101100 + 10001100100101010000?
10001100100110111100
In base 13, what is -b3 - 138c17?
-138cca
In base 3, what is 1100121020121 - -220200?
1100122011021
In base 9, what is 3 + -8806524?
-8806521
In base 12, what is -92 - -94831?
9475b
In base 5, what is -43234402232 - -2?
-43234402230
In base 3, what is 211100211 - 21102120?
112221021
In base 13, what is 2 - 610655?
-610653
In base 10, what is -1250 + -161208?
-162458
In base 13, what is 3a6ac6 - -1?
3a6ac7
In base 3, what is -10 - 12110122210201?
-12110122210211
In base 3, what is 111211 + -21012102011?
-21011220100
In base 5, what is -3044 + 104213422?
104210323
In base 8, what is 6 + -1254476406?
-1254476400
In base 2, what is -10101001111 + -100110011001000?
-101001000010111
In base 14, what is 22 - -5069b?
506bd
In base 9, what is -2 - -134315101?
134315088
In base 13, what is 6685b - 131a?
65541
In base 12, what is 192 - -1a529?
1a6bb
In base 11, what is 4 - -3aa0aa6?
3aa0aaa
In base 8, what is -355211 - -11?
-355200
In base 7, what is -5 - -253625651?
253625643
In base 2, what is -11110110110001111101011 - 101?
-11110110110001111110000
In base 2, what is -10111010100010011000001 + -101?
-10111010100010011000110
In base 8, what is 10 - -4310567?
4310577
In base 6, what is 433 + 10104442?
10105315
In base 12, what is -107a60b - 1?
-107a610
In base 14, what is -4807013 - 0?
-4807013
In base 5, what is -10 + -224444142?
-224444202
In base 4, what is -30 + 133333220221?
133333220131
In base 8, what is 504007 + 212?
504221
In base 16, what is 136d89 - -41?
136dca
In base 7, what is -1545632 - 1544?
-1550506
In base 12, what is 6b + -2207a?
-2200b
In base 9, what is 5 + 6707003?
6707008
In base 15, what is 11bd - 47152?
-45e84
In base 3, what is -20100 - -2202211002?
2202120202
In base 16, what is -5 + b1b98?
b1b93
In base 9, what is -33 + -567788?
-567832
In base 9, what is -14 + -2015851?
-2015865
In base 4, what is -1003310332 + 113?
-1003310213
In base 16, what is -6a4 + ec?
-5b8
In base 12, what is -1800a53 - -43?
-1800a10
In base 7, what is -235160 - -11010?
-224150
In base 14, what is 5 + -1040396d?
-10403968
In base 3, what is -120 - 1010200200220110?
-1010200200221000
In base 16, what is -56 + -49339f?
-4933f5
In base 5, what is 142320422300 - -10?
142320422310
In base 12, what is -4948003 + -4?
-4948007
In base 2, what is -111 + -1001110100001101110100?
-1001110100001101111011
In base 4, what is -12111300020221 + -11?
-12111300020232
In base 5, what is 311340 - -1232410?
2044300
In base 3, what is -1201010120201102 - 11?
-1201010120201120
In base 7, what is 105 + -142342?
-142234
In base 11, what is -27 + 1a177106?
1a17708a
In base 5, what is -212132403134 - -1?
-212132403133
In base 7, what is -43351 + -352?
-44033
In base 2, what is -11001100110101101100 + -10?
-11001100110101101110
In base 4, what is 210020 + 1112011?
1322031
In base 15, what is -b882 - -2ee?
-b583
In base 16, what is -5c - 5a020?
-5a07c
In base 15, what is 222 - 2620d?
-25edb
In base 3, what is -120202 - -11012100?
10121121
In base 3, what is 20220111102 + -121?
20220110211
In base 14, what is 2b + -25da9?
-25d7c
In base 3, what is -100110011020021100 - 20?
-100110011020021120
In base 4, what is 12103 - -1203323312?
1210002021
In base 7, what is -1545433 + 415?
-1545015
In base 14, what is -4ad4 - 62a?
-5320
In base 15, what is 4 + 5867e5?
5867e9
In base 9, what is 31 + 4161332?
4161363
In base 2, what is -1001110111110001001110 - -10110011?
-1001110111101110011011
In base 6, what is 14 - -150342430?
150342444
In base 9, what is -51820360 + 2?
-51820357
In base 11, what is -29789 + -47a3?
-33481
In base 2, what is -11 - 101100000111110001110?
-101100000111110010001
In base 15, what is -213ea026 + -5?
-213ea02b
In base 12, what is -13a721b58 + -1?
-13a721b59
In base 2, what is -1000010110000 + -100000010010010110?
-100001010101000110
In base 11, what is 4a72 + -5a91?
-101a
In base 16, what is d + -c09f5?
-c09e8
In base 8, what is 6417070 - 4?
6417064
In base 4, what is 1 + -200003031231?
-200003031230
In base 3, what is 0 + 1222121100111?
1222121100111
In base 2, what is 1011100110001000101 - -11100011?
1011100110100101000
In base 3, what is 1112120211111 + -10?
1112120211101
In base 16, what is 20 + -ab6d8?
-ab6b8
In base 12, what is 1 + -595b166?
-595b165
In base 13, what is 160a1a + 19a?
160bb7
In base 2, what is 10001001011000 + -11010001010?
1101111001110
In base 3, what is -10002102 + -1000112221221?
-1000200001100
In base 16, what is -19 + 5d664c?
5d6633
In base 13, what is 15a5097 + 20?
15a50b7
In base 7, what is 4 + -23134342?
-23134335
In base 11, what is -19068676 - -2?
-19068674
In base 12, what is a + -25231?
-25223
In base 3, what is -11 - -102002201121201?
102002201121120
In base 5, what is -1400232 + -413310?
-2314042
In base 16, what is -52 - 126f9d?
-126fef
In base 14, what is ba87 - -88?
bb31
In base 16, what is -436 + -30b07?
-30f3d
In base 14, what is -29c447 - -20?
-29c427
In base 10, what is 2131 + 4644?
6775
In base 14, what is -49426a - 11?
-49427b
In base 4, what is -12 - -1011030222323?
1011030222311
In base 15, what is 2143a4 + -36b?
214038
In base 12, what is -12 + 27589?
27577
In base 8, what is 2416716 - -1242?
2420160
In base 14, what is -257a1 + 71?
-25730
In base 11, what is -46aa84 + -1?
-46aa85
In base 15, what is 7e855 + 3d?
7e893
In base 16, what is 1d8 - 10b9b?
-109c3
In base 15, what is 9c8b1b - 3?
9c8b18
In base 14, what is 1 + 524753?
524754
In base 15, what is -1c - -1155774?
1155757
In base 10, what is 4889 + -52475?
-47586
In base 9, what is 26 - -5404603?
5404630
In base 9, what is 4 - -33065335?
33065340
In base 5, what is 140400 + -2423?
132422
In base 4, what is -1022213 + 10222312?
3200033
In base 9, what is -14144766 - 4?
-14144771
In base 16, what is -68 + 754f?
74e7
In base 8, what is 66640 + 1721?
70561
In base 12, what is 167 + -7963?
-77b8
In base 7, what is 45015 - 6313?
35402
In base 9, what is 338 + 446634?
447073
In base 11, what is -55804 - 740?
-56444
In base 10, what is -1936383 - 5?
-1936388
In base 15, what is 223 + -3380?
-315c
In base 6, what is 5343 + -13302?
-3515
In base 8, what is 6 - -2555157?
2555165
In base 14, what is -cca7 + -285?
-d14c
In base 16, what is -d437 - 638?
-da6f
In base 5, what is 101411211 - 140?
101411021
In base 2, what is -110010110010101010110 - -101?
-110010110010101010001
In base 2, what is 1001110000 - 101111000010110000?
-101110111001000000
In base 10, what is -223 - 1169457?
-1169680
In base 10, what is 10 - -8192?
8202
In base 2, what is -10101111100010101 + 11?
-10101111100010010
In base 5, what is 1341114301 + -12?
1341114234
In base 15, what is 0 + 1419458?
1419458
In base 4, what is -11313033 + -302121?
-12221220
In base 10, what is -15767 - 6940?
-22707
In base 8, what is 66515256 + -5?
66515251
In base 7, what is 15261 - 2201?
13060
In base 11, what is -227027 + -216?
-227242
In base 10, what is 38 - -8180416?
8180454
In base 10, what is 129751448 + 1?
129751449
In base 8, what is 11646453 - 15?
11646436
In base 7, what is 4124525445 + 1?
4124525446
In base 8, what is -1017373 - -13?
-1017360
In base 16, wh
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 997530514 to the power of 1/8, to the nearest integer?
13
What is 1633168690 to the power of 1/3, to the nearest integer?
1178
What is the square root of 6907290710 to the nearest integer?
83110
What is 59207829 to the power of 1/2, to the nearest integer?
7695
What is 25838759 to the power of 1/2, to the nearest integer?
5083
What is the third root of 7358676708 to the nearest integer?
1945
What is the cube root of 163185310 to the nearest integer?
546
What is the third root of 29852864 to the nearest integer?
310
What is 226902898 to the power of 1/6, to the nearest integer?
25
What is the ninth root of 48251711 to the nearest integer?
7
What is the square root of 30949330 to the nearest integer?
5563
What is 938324874 to the power of 1/8, to the nearest integer?
13
What is 282744275 to the power of 1/2, to the nearest integer?
16815
What is the seventh root of 97451333 to the nearest integer?
14
What is 398777144 to the power of 1/2, to the nearest integer?
19969
What is 79489532 to the power of 1/3, to the nearest integer?
430
What is the cube root of 1754860859 to the nearest integer?
1206
What is the square root of 259644836 to the nearest integer?
16113
What is 1696655842 to the power of 1/2, to the nearest integer?
41190
What is the sixth root of 1311833855 to the nearest integer?
33
What is 5482647568 to the power of 1/7, to the nearest integer?
25
What is the square root of 203593314 to the nearest integer?
14269
What is the ninth root of 25570024 to the nearest integer?
7
What is 46798133 to the power of 1/2, to the nearest integer?
6841
What is 102381926 to the power of 1/2, to the nearest integer?
10118
What is 614942893 to the power of 1/2, to the nearest integer?
24798
What is 155101494 to the power of 1/3, to the nearest integer?
537
What is the square root of 1383098891 to the nearest integer?
37190
What is 2652477637 to the power of 1/2, to the nearest integer?
51502
What is 2323823362 to the power of 1/2, to the nearest integer?
48206
What is the eighth root of 120091860 to the nearest integer?
10
What is 87991436 to the power of 1/2, to the nearest integer?
9380
What is the cube root of 453086986 to the nearest integer?
768
What is the square root of 1237297123 to the nearest integer?
35175
What is the cube root of 1313736115 to the nearest integer?
1095
What is 33674218 to the power of 1/3, to the nearest integer?
323
What is 66535585 to the power of 1/7, to the nearest integer?
13
What is the fourth root of 185574823 to the nearest integer?
117
What is the cube root of 914797882 to the nearest integer?
971
What is the fifth root of 69289090 to the nearest integer?
37
What is the third root of 437124139 to the nearest integer?
759
What is 146336458 to the power of 1/5, to the nearest integer?
43
What is 3253549812 to the power of 1/2, to the nearest integer?
57040
What is the sixth root of 459527795 to the nearest integer?
28
What is the square root of 4635422183 to the nearest integer?
68084
What is the cube root of 151823751 to the nearest integer?
533
What is 420487715 to the power of 1/8, to the nearest integer?
12
What is 146706991 to the power of 1/3, to the nearest integer?
527
What is the third root of 25994521 to the nearest integer?
296
What is the third root of 105822858 to the nearest integer?
473
What is 223113121 to the power of 1/5, to the nearest integer?
47
What is the eighth root of 1207552626 to the nearest integer?
14
What is the square root of 4694493 to the nearest integer?
2167
What is the square root of 4062630941 to the nearest integer?
63739
What is the cube root of 2604836827 to the nearest integer?
1376
What is 3446377948 to the power of 1/5, to the nearest integer?
81
What is the square root of 75559743 to the nearest integer?
8693
What is 96906530 to the power of 1/6, to the nearest integer?
21
What is 6720258 to the power of 1/4, to the nearest integer?
51
What is 117388304 to the power of 1/2, to the nearest integer?
10835
What is 1205506507 to the power of 1/2, to the nearest integer?
34720
What is 63134144 to the power of 1/5, to the nearest integer?
36
What is 408849370 to the power of 1/3, to the nearest integer?
742
What is the cube root of 621144021 to the nearest integer?
853
What is 1243614482 to the power of 1/10, to the nearest integer?
8
What is the square root of 13976292 to the nearest integer?
3738
What is the square root of 303914582 to the nearest integer?
17433
What is 75584341 to the power of 1/10, to the nearest integer?
6
What is 816947622 to the power of 1/3, to the nearest integer?
935
What is 126717397 to the power of 1/9, to the nearest integer?
8
What is the third root of 2008428157 to the nearest integer?
1262
What is the third root of 277406460 to the nearest integer?
652
What is the fourth root of 12146554 to the nearest integer?
59
What is 549412257 to the power of 1/2, to the nearest integer?
23440
What is 380088100 to the power of 1/10, to the nearest integer?
7
What is 44973002 to the power of 1/3, to the nearest integer?
356
What is 162833981 to the power of 1/2, to the nearest integer?
12761
What is 777100735 to the power of 1/3, to the nearest integer?
919
What is the tenth root of 2171181847 to the nearest integer?
9
What is 6585100009 to the power of 1/2, to the nearest integer?
81149
What is 26289575 to the power of 1/8, to the nearest integer?
8
What is the square root of 58844506 to the nearest integer?
7671
What is the cube root of 47843657 to the nearest integer?
363
What is 176176449 to the power of 1/2, to the nearest integer?
13273
What is the cube root of 17279964 to the nearest integer?
259
What is 1354532638 to the power of 1/2, to the nearest integer?
36804
What is the sixth root of 111042243 to the nearest integer?
22
What is 237337021 to the power of 1/3, to the nearest integer?
619
What is the cube root of 67193361 to the nearest integer?
407
What is 2437771903 to the power of 1/4, to the nearest integer?
222
What is the cube root of 188516021 to the nearest integer?
573
What is the fourth root of 456725823 to the nearest integer?
146
What is 6345013 to the power of 1/10, to the nearest integer?
5
What is 601341941 to the power of 1/6, to the nearest integer?
29
What is 103271085 to the power of 1/2, to the nearest integer?
10162
What is 1901209715 to the power of 1/5, to the nearest integer?
72
What is 2300165161 to the power of 1/2, to the nearest integer?
47960
What is 18902769 to the power of 1/2, to the nearest integer?
4348
What is the cube root of 154282990 to the nearest integer?
536
What is the fourth root of 49467340 to the nearest integer?
84
What is 65430646 to the power of 1/8, to the nearest integer?
9
What is the tenth root of 546937919 to the nearest integer?
7
What is the third root of 100731684 to the nearest integer?
465
What is the ninth root of 3253556062 to the nearest integer?
11
What is the cube root of 2981455664 to the nearest integer?
1439
What is the ninth root of 161937761 to the nearest integer?
8
What is the cube root of 891582594 to the nearest integer?
962
What is 341382493 to the power of 1/3, to the nearest integer?
699
What is 2645956222 to the power of 1/2, to the nearest integer?
51439
What is the ninth root of 3375152547 to the nearest integer?
11
What is 153566083 to the power of 1/9, to the nearest integer?
8
What is 154487361 to the power of 1/2, to the nearest integer?
12429
What is the third root of 7625410637 to the nearest integer?
1968
What is 36976807 to the power of 1/7, to the nearest integer?
12
What is 45412569 to the power of 1/10, to the nearest integer?
6
What is the ninth root of 4271469337 to the nearest integer?
12
What is 1773463294 to the power of 1/9, to the nearest integer?
11
What is 48204119 to the power of 1/2, to the nearest integer?
6943
What is the ninth root of 12439535 to the nearest integer?
6
What is the cube root of 298582390 to the nearest integer?
668
What is the fourth root of 579513602 to the nearest integer?
155
What is 110222314 to the power of 1/6, to the nearest integer?
22
What is the ninth root of 208159935 to the nearest integer?
8
What is 275883416 to the power of 1/2, to the nearest integer?
16610
What is 1123601784 to the power of 1/8, to the n
|
{
"pile_set_name": "DM Mathematics"
}
|
7)?
-213
Let a(p) = 13*p**3 - 3*p**2 + 340*p - 1428. Calculate a(4).
716
Let j(a) = 2159*a + 6099. Determine j(-3).
-378
Let u(x) = -3*x**3 + 333*x**2 - 654*x - 78. Determine u(109).
-78
Let l(f) = f**3 + 19*f**2 + 155*f + 135. Determine l(-1).
-2
Let r(z) = -7643*z + 168117. Calculate r(22).
-29
Let w(d) = -29246*d - 6492568. Calculate w(-222).
44
Let x(q) = -q**3 + 62*q**2 - 432*q - 8. Calculate x(10).
872
Let m(d) = -20995*d + 125836. Determine m(6).
-134
Let b(f) = -2*f**2 + 212*f - 962. Give b(5).
48
Let t(w) = 1932*w + 38724. Give t(-20).
84
Let h(p) = -p**2 - 1584*p - 119. Determine h(0).
-119
Let u(w) = 2*w**3 - 30*w**2 - 1415*w + 19071. Give u(13).
0
Let c(r) = -105166*r + 630984. Calculate c(6).
-12
Let u(l) = -2092*l + 16913. Calculate u(8).
177
Let w(l) = -2*l**3 - 62*l**2 - 51*l + 267. Determine w(-30).
-3
Let y(p) = 2374*p + 12263. Give y(-5).
393
Let p(a) = 10073*a + 8472. Calculate p(-1).
-1601
Let k(f) = -7645*f + 6765817. Calculate k(885).
-8
Let o(q) = 83*q**3 - 1999*q**2 - 4024*q + 4. Calculate o(-2).
-608
Let b(d) = -55*d**2 - 13430*d + 13432. Determine b(1).
-53
Let q(w) = -2354*w - 212213. Give q(-90).
-353
Let a(j) = 2*j**3 + 2690*j**2 - 2466*j + 304155. Determine a(-1346).
-41
Let g(l) = 68*l**3 + 882*l**2 - 34*l - 100. Calculate g(-13).
4
Let x(p) = 9850*p - 68782. Calculate x(7).
168
Let q(u) = -3443*u - 3366. What is q(-1)?
77
Let q(j) = 5212*j - 31110. What is q(6)?
162
Let r(c) = c**3 - 11*c**2 - 31*c - 33. Calculate r(13).
-98
Let g(u) = 830*u - 28848. Determine g(36).
1032
Let o(l) = -1815*l**2 - 14568*l - 402. Determine o(-8).
-18
Let w(b) = 7*b**3 + 41*b**2 - 110*b - 4. What is w(-8)?
-84
Let n(c) = 977*c - 6229. Calculate n(6).
-367
Let z(m) = -11*m**2 - 201*m - 770. Calculate z(-15).
-230
Let n(v) = v**2 - 66*v - 1424. Calculate n(-15).
-209
Let f(i) = i**3 + 186*i**2 + 8024*i + 229. Give f(-118).
229
Let g(r) = -r**2 - 396*r - 30836. Determine g(-107).
87
Let l(m) = -2*m**2 + 116*m + 6304. Give l(-37).
-726
Let l(q) = 4754*q - 6660349. Give l(1401).
5
Let t(i) = -15*i**3 + 6*i**2 + 814*i - 1639. Calculate t(2).
-107
Let c(g) = 333*g**2 - 159*g + 156. What is c(1)?
330
Let i(j) = 17*j**3 - 208*j**2 + 29*j + 236. What is i(12)?
8
Let v(o) = o**3 + 3*o**2 + 12204*o + 48808. Give v(-4).
-24
Let x(q) = 2*q**3 + 670*q**2 + 120*q + 40371. Determine x(-335).
171
Let c(l) = -3*l**2 - 872*l + 7752. What is c(-299)?
277
Let l(p) = -10*p**3 - 587*p**2 + 309*p + 7778. Determine l(-59).
-10
Let n(z) = 3*z**3 + 43*z**2 - 542*z + 43. Give n(10).
1923
Let a(h) = -h**2 - 18249*h - 1. Determine a(0).
-1
Let q(g) = -2*g**2 - 725*g - 3917. What is q(-357)?
10
Let i(v) = -v**3 - 8*v**2 - 110*v - 1087. Determine i(-10).
213
Let f(z) = -25049*z + 425830. Calculate f(17).
-3
Let s(m) = 17739*m + 248173. Calculate s(-14).
-173
Let i(q) = -2897*q - 495310. Calculate i(-171).
77
Let p(l) = 6867*l**2 - 130480*l - 43. Give p(19).
-176
Let k(t) = t**2 + 19912*t + 199038. Determine k(-10).
18
Let j(w) = w**3 + 208*w**2 - 4328*w - 2990. Determine j(-227).
415
Let w(d) = 13002*d + 92994. What is w(-7)?
1980
Let r(m) = -m**3 + 26*m**2 - 736*m + 9272. Give r(16).
56
Let l(w) = -w**2 - 354*w - 28585. What is l(-226)?
343
Let b(v) = v**3 - 5560*v**2 + 59*v + 6. Give b(0).
6
Let k(z) = 4*z**3 - 42*z**2 + 149*z. Calculate k(5).
195
Let o(m) = 24*m**3 + 310*m**2 + 870*m + 191. Calculate o(-9).
-25
Let c(r) = -27870*r - 27874. What is c(-1)?
-4
Let o(y) = -731*y**2 - 522*y + 523. Calculate o(1).
-730
Let r(f) = 2*f**3 - 2*f**2 - 616*f - 221. What is r(-17)?
-153
Let p(d) = -202*d - 5337. Give p(-26).
-85
Let z(l) = -11179*l + 22905765. Calculate z(2049).
-6
Let b(f) = 797*f**2 + 3210*f + 30. What is b(-4)?
-58
Let t(p) = -6*p**3 - 31*p**2 + 19*p + 33. Calculate t(7).
-3411
Let v(q) = 9*q**3 - 100*q**2 - 235*q + 185. Calculate v(13).
3
Let w(y) = -y**2 + 1674*y + 32132. Determine w(-19).
-35
Let y(d) = 10409*d + 104099. Calculate y(-10).
9
Let q(l) = -122*l - 9504. What is q(-78)?
12
Let m(y) = 62*y**2 + 529*y - 2585. Determine m(5).
1610
Let f(n) = -533*n**3 - 2*n**2 + 6666*n + 6667. What is f(-1)?
532
Let v(o) = -50615*o - 253664. Determine v(-5).
-589
Let x(a) = -14*a**3 - 66*a**2 + 5531*a + 16801. What is x(-3)?
-8
Let o(j) = -20090*j + 221088. Determine o(11).
98
Let i(d) = 3649*d - 25144. Give i(7).
399
Let k(l) = -1859*l - 1672. Give k(-1).
187
Let t(r) = -r**3 - 2*r**2 + 2*r - 30. Give t(5).
-195
Let s(h) = -57*h**2 - 196*h - 161. Give s(-2).
3
Let j(u) = -u**3 + 75*u**2 + 228*u - 11567. Calculate j(76).
-15
Let x(r) = r**3 - 20*r**2 + 940*r - 26619. What is x(25)?
6
Let b(s) = 7377*s + 29582. What is b(-4)?
74
Let w(t) = -t**2 - 254*t + 5438. Give w(19).
251
Let x(y) = 38498*y - 49. Determine x(0).
-49
Let y(n) = 78*n**2 + 10398*n + 51956. What is y(-5)?
1916
Let g(f) = -f**2 - 153*f - 4354. Determine g(-113).
166
Let q(b) = -12433*b**2 - 37308*b + 1. Give q(-3).
28
Let n(r) = 2*r**3 + 141*r**2 + 309*r + 16632. Give n(-70).
-98
Let i(g) = -4*g**3 + 3052*g**2 + 12225*g. What is i(-4)?
188
Let u(s) = 4*s**2 - 36*s - 258. Calculate u(16).
190
Let g(v) = -v**3 - 15*v**2 - 46*v - 165. Give g(-13).
95
Let l(o) = -12491*o - 1711566. Calculate l(-137).
-299
Let v(w) = -w**2 - 961*w - 109844. What is v(-130)?
-1814
Let v(t) = t**3 - 328*t**2 - 2326*t - 6377. Give v(335).
-12
Let n(p) = -4*p**3 - 35*p**2 - 754*p - 8078. Give n(-10).
-38
Let o(j) = 6*j**2 - 277*j + 4130. Determine o(14).
1428
Let l(w) = -3*w**2 - 70*w + 626. Calculate l(-25).
501
Let q(n) = -52542*n + 735594. What is q(14)?
6
Let r(z) = z**3 + 33*z**2 - 588*z + 464. What is r(-46)?
4
Let t(l) = -323*l**2 + 2590*l - 55. Give t(8).
-7
Let k(g) = 5*g**3 + 88*g**2 - 158*g + 79. Calculate k(-19).
554
Let m(b) = b**3 + 448*b**2 + 3025*b - 27325. What is m(-441)?
17
Let l(f) = 39*f**2 + 980*f + 1969. What is l(-2)?
165
Let h(f) = -4*f**2 - 316*f - 729. Calculate h(-70).
1791
Let j(w) = -59840*w - 119637. Give j(-2).
43
Let a(d) = d**3 - 19*d**2 + 219*d - 2882. What is a(16)?
-146
Let k(j) = -6*j**2 + 120*j + 2. Determine k(0).
2
Let r(l) = 51*l**3 + l**2 - 62*l - 126. Calculate r(-2).
-406
Let y(j) = 4*j**2 - 1057*j - 16746. What is y(-15)?
9
Let h(g) = -2*g + 378. What is h(272)?
-166
Let b(r) = 4394*r**2 + 43956*r + 3. Calculate b(-10).
-157
Let a(d) = 5254*d - 31502. Give a(6).
22
Let n(j) = 169*j**2 - 43*j - 36. Give n(0).
-36
Let x(g) = 5*g**2 - 451*g - 9089. Calculate x(-19).
1285
Let w(y) = -61*y**2 + 70*y - 40. Give w(2).
-144
Let t(i) = -278599*i - 1114380. Determine t(-4).
16
Let c(p) = 1188*p**2 - 100981*p + 112. What is c(85)?
27
Let x(o) = 324*o**2 + 569*o + 4. What is x(-2)?
162
Let z(q) = -5*q**2 + 276*q + 3318. Calculate z(-10).
58
Let h(g) = 2693*g + 29966. Calculate h(-11).
343
Let l(i) = 9*i**3 + 31*i**2 - 147*i + 82. Determine l(2).
-16
Let g(h) = 101*h**2 + 76*h - 137. What is g(2)?
419
Let h(n) = 537511*n - 8062658. What is h(15)?
7
Let m(i) = -i**2 - 716509*i - 12896841. Give m(-18).
-3
Let d(k) = 3*k**2 + 620*k + 25476. What is d(-57)?
-117
Let b(n) = -n**2 + 1310*n + 148512. What is b(-105)?
-63
Let y(z) = -2*z**2 + 3637*z - 83002. Determine y(23).
-409
Let a(f) = -f**3 + 279*f**2 + 765*f + 22822. Determine a(282).
-20
Let u(r) = -9*r**3 - 873*r**2 - 28*r - 2679. Determine u(-97).
37
Let m(s) = s**3 - 20*s**2 + 23*s + 85. Determine m(8).
-499
Let v(c) = c**3 + 16*c**2 + 116*c + 416. Give v(-9).
-61
Let t(b) = 2202929*b - 26435143. Determine t(12).
5
Let y(q) = -3*q**2 + 268*q + 9656. Give y(-28).
-200
Let i(v) = -10*v**2 + 4474*v + 43887. What is i(457)?
15
Let u(c) = 250*c + 982. Give u(-6).
-518
Let r(n) = -110881*n - 776172. Determine r(-7).
-5
Let y(t) = -2*t**2 + 467250*t - 467250. Calculate y(1).
-2
Let l(t) = -t**2 + 102*t + 976. Calculate l(113).
-267
Let u(v) = v**3 - 144*v**2 + 2177*v + 18436. Give u(-6).
-26
Let s(v) = -38*v**2 - 1232*v + 82. Determine s(-26).
6426
Let n(s) = -9*s**3 - 527*s**2 - 4030*s + 21. Give n(-9).
165
Let k(p) = -1049*p + 14916. What is k(14)?
230
Let i(q) = -q**3 + 34*q**2 - 59*q + 108. Give i(32).
268
Let p(m) = 434*m**3 - 252*m - 497. Calculate p(-2).
-3465
Let c(u) = -3452*u + 68870. Calculate c(20).
-170
Let q(s) = -3*s**2 + 44*s - 2. Calculate q(17).
-121
Let x(o) = 23*o**2 + 6973*o - 19882. What is x(-306)?
8
Let g(s) =
|
{
"pile_set_name": "DM Mathematics"
}
|
) + 10/(-4) + 2. Let z(t) = g*c(t) - 18*m(t). Factor z(y).
-3*(y - 2)*(3*y + 2)
Determine s so that 26/5*s + 1/5*s**2 + 48/5 = 0.
-24, -2
Let p = 649/3570 + -9/595. Factor -p*z - 1/3 + 1/6*z**2.
(z - 2)*(z + 1)/6
Let s be -15 + 7 + (-41)/(-5). Suppose 3*q - 6 = -0. Factor 0*y + s*y**3 + 0*y**q + 0.
y**3/5
Let t = 1521 + -1517. Factor 2/13 + 4/13*x**3 + 0*x**2 - 4/13*x - 2/13*x**t.
-2*(x - 1)**3*(x + 1)/13
Let g(d) be the first derivative of -d**5/170 - d**4/51 + 7*d**3/51 - 4*d**2/17 - 9*d - 6. Let o(h) be the first derivative of g(h). What is i in o(i) = 0?
-4, 1
Suppose 8*m = 9*m - 30. Let t = 62 - m. Factor t - 35 + u**2 - 2*u**2 - u + 6*u - u**3.
-(u - 1)**2*(u + 3)
Suppose -27 = l + 3*q, 5*l - 2*l - 2*q + 92 = 0. Let x be 3/6*l/(-5). Determine z, given that -4*z**x + 0*z**3 - 3*z**2 + 7*z**3 = 0.
0, 1
Let s(q) be the first derivative of -8/5*q**2 - 12 - 1/10*q**4 - 8/5*q - 2/3*q**3. What is t in s(t) = 0?
-2, -1
Let m = -58/9 - -70/9. Suppose 0 = -282*r + 285*r. Solve 2*a**3 + 0*a - 10/3*a**4 - 4*a**5 + r + m*a**2 = 0.
-1, -1/2, 0, 2/3
Let z(p) be the second derivative of 3/32*p**4 + 3/160*p**5 + 0*p**2 + 0 + 1/8*p**3 - 13*p. Factor z(s).
3*s*(s + 1)*(s + 2)/8
Let x(g) = -3*g**3 + 11*g**2 - 21*g + 1. Let q(n) = n**3 - n**2 + n + 2. Let s(z) = -20*q(z) - 5*x(z). Factor s(f).
-5*(f - 1)**2*(f + 9)
Let p(w) be the second derivative of 0 - 1/21*w**4 + 4/7*w**2 - 2/21*w**3 + 15*w. Factor p(x).
-4*(x - 1)*(x + 2)/7
Let 1/6*h**2 + 121/6 - 11/3*h = 0. What is h?
11
Let y = -7/30 - -47/105. Let m(c) be the second derivative of 0 + y*c**2 - 1/7*c**3 + 1/28*c**4 + 8*c. Factor m(x).
3*(x - 1)**2/7
Let g = 82 + -77. Let b(x) be the third derivative of 1/3*x**3 - 1/8*x**4 + 0 + 0*x + 1/60*x**g + x**2. Factor b(v).
(v - 2)*(v - 1)
Let c(h) be the third derivative of h**6/300 - 4*h**5/75 + 7*h**4/20 - 6*h**3/5 + 64*h**2. Suppose c(j) = 0. Calculate j.
2, 3
Factor 14670*u - 14905*u - 175 - 10*u**2 + 60.
-5*(u + 23)*(2*u + 1)
Let x(j) be the first derivative of -j**5 + 5*j**4/4 + 20*j**3 + 10*j**2 - 80*j + 534. Determine c, given that x(c) = 0.
-2, 1, 4
Let s = 2996 + -5987/2. Factor -s*n**2 + 3/2*n + 9/2 + 1/2*n**3.
(n - 3)**2*(n + 1)/2
Let 132 + 725*z - z**2 + 715*z - 1439*z = 0. What is z?
-11, 12
Let m(b) be the first derivative of -b**4/36 - b**3/9 - 10*b - 19. Let t(g) be the first derivative of m(g). Determine d, given that t(d) = 0.
-2, 0
Let o(d) be the second derivative of 97/66*d**4 - 12/11*d**3 + 0 - 6*d + 16/165*d**6 - 36/55*d**5 + 4/11*d**2. Find i such that o(i) = 0.
1/4, 2
Let h(z) = 6*z + 44. Let v be h(9). Factor -2*i**2 + 47 + 49 - v - 4*i.
-2*(i + 1)**2
Let v(n) be the third derivative of n**8/168 - n**7/35 - 2*n**6/15 + 2*n**5/5 + 4*n**4/3 - 2*n**2 + 360. Let v(h) = 0. Calculate h.
-2, -1, 0, 2, 4
Let u(s) be the second derivative of s**5/190 - s**4/57 - 89*s**3/57 + 90*s**2/19 - 301*s. Factor u(d).
2*(d - 10)*(d - 1)*(d + 9)/19
Factor -8/9*z - 10/9 + 2/9*z**2.
2*(z - 5)*(z + 1)/9
Let w(j) be the third derivative of j**6/120 + 11*j**5/48 - 7*j**4/48 + 30*j**2. Let w(i) = 0. Calculate i.
-14, 0, 1/4
Solve 85/2 - 5/2*n**3 + 165/2*n + 75/2*n**2 = 0.
-1, 17
Let y(j) be the second derivative of -3/55*j**5 + 1/165*j**6 + 2/11*j**4 + 0 - 8/33*j**3 + 0*j**2 - 49*j. Let y(g) = 0. What is g?
0, 2
Let y(g) be the third derivative of g**9/75600 - g**8/16800 + g**7/12600 - 7*g**4/6 - 21*g**2. Let c(o) be the second derivative of y(o). Solve c(d) = 0.
0, 1
Let k(f) be the second derivative of 1/42*f**7 + 1/4*f**5 - 1/6*f**4 - 2/15*f**6 + 0*f**3 - 23*f + 0 + 0*f**2. Determine v, given that k(v) = 0.
0, 1, 2
Let l = 49 - 54. Let c(r) = 8*r**2 - 17*r + 5. Let b(g) = -33*g**2 + 69*g - 21. Let o(x) = l*b(x) - 21*c(x). Let o(z) = 0. Calculate z.
0, 4
Let x(w) be the second derivative of -w**7/4620 + w**6/660 - w**5/330 + 2*w**3 + 9*w. Let q(v) be the second derivative of x(v). Factor q(y).
-2*y*(y - 2)*(y - 1)/11
Let q(k) be the first derivative of 1/12*k**4 + 1/9*k**3 - 1/3*k - 4 - 1/6*k**2. What is z in q(z) = 0?
-1, 1
Let l(h) = -h**3 + 33*h**2 + 34*h. Let w(j) = j**3 - 32*j**2 - 33*j. Let a(g) = 6*l(g) + 7*w(g). Solve a(i) = 0.
-1, 0, 27
Let p(x) be the second derivative of x**9/1008 + 17*x**8/2240 + 2*x**7/105 + x**6/60 + 2*x**4/3 - 8*x. Let m(n) be the third derivative of p(n). Factor m(z).
3*z*(z + 1)*(z + 2)*(5*z + 2)
Suppose -2*a + 6*u = 7*u - 5, 0 = 3*a - u. Let s(l) be the first derivative of 0*l - l**4 - 1/3*l**6 - a + 0*l**2 + 0*l**3 - 6/5*l**5. Solve s(c) = 0 for c.
-2, -1, 0
Let u(m) be the third derivative of -7*m**5/360 + 47*m**4/144 + 7*m**3/18 - 112*m**2. Factor u(b).
-(b - 7)*(7*b + 2)/6
Let k(z) be the third derivative of 0*z**6 + 0 - 8*z**2 + 0*z**3 - 1/70*z**7 + 1/20*z**5 + 0*z**4 + 0*z. What is f in k(f) = 0?
-1, 0, 1
Let l(n) = 10*n**5 + 44*n**4 + 292*n**3 + 518*n**2. Let q(m) = 3*m**5 + 15*m**4 + 97*m**3 + 173*m**2. Let o(y) = 4*l(y) - 14*q(y). Factor o(v).
-2*v**2*(v + 5)**2*(v + 7)
Suppose 12 = 2*z - 6. Factor -z*k + k**2 - 2*k**2 + 4*k**2 + 12 - 6*k**2.
-3*(k - 1)*(k + 4)
Let d(q) be the third derivative of q**7/3780 - 7*q**6/540 + 49*q**5/180 - 13*q**4/12 - 10*q**2. Let h(a) be the second derivative of d(a). Factor h(o).
2*(o - 7)**2/3
Let r be ((-142)/2414)/((6/4)/(-3)). Determine n so that -2/17*n**2 + 0 + 0*n - r*n**3 = 0.
-1, 0
Let a be (243/(-45))/(-9) + (-9)/15. Let p(j) be the second derivative of a + 0*j**2 + 1/10*j**5 + 0*j**4 - j - 1/3*j**3. Find w such that p(w) = 0.
-1, 0, 1
Let v = 42 - 36. Let f be (v/(-2 - -4))/1. Suppose 9 - f*l**2 + 10*l + 29 - 13 + 4*l**2 = 0. Calculate l.
-5
Let m(b) be the second derivative of 49*b**4/24 - 7*b**3/3 + b**2 + 4*b + 6. Determine t so that m(t) = 0.
2/7
Let k(n) be the first derivative of -n**4 - 592*n**3/3 + 659. Let k(h) = 0. What is h?
-148, 0
Let k(w) = -w**2 - 1. Let n(p) = -6*p**2 - 246*p - 5046. Let q(j) = 3*k(j) - n(j). Find s such that q(s) = 0.
-41
Let u(y) = y**2 - 1. Let p(i) = 3*i**2 + 3*i - 2. Let g be (-2)/(-3)*(-36)/24. Let j(f) = g*p(f) + 2*u(f). Determine q so that j(q) = 0.
-3, 0
Suppose 9*k - 20 = -k. Let c be 15*(-2 - 24/(-10)). Factor 22*i**2 + 5*i**2 - 2*i - c*i**k - 4*i.
3*i*(7*i - 2)
Let n(t) be the second derivative of t**7/56 + t**6/36 - 7*t**5/24 + 5*t**4/12 + 5*t**3/2 - 33*t. Let d(y) be the second derivative of n(y). Factor d(x).
5*(x - 1)*(x + 2)*(3*x - 1)
Suppose 13*s - 10*s = -24. Let c = -5 - s. Let 0*p**3 + 8*p**5 + 8*p - 8*p**c - 2 - 2*p**4 + 4*p**2 - 8*p**3 = 0. What is p?
-1, 1/4, 1
Let p = 7 + -5. Suppose k - 87 + 94 = -3*g, 0 = 3*g - 4*k - 28. Factor g + 1/5*n**p + 1/5*n.
n*(n + 1)/5
Suppose -2*c + 1288 = 1270. Let s(u) be the third derivative of 0*u - 2/735*u**7 + 2/21*u**3 - 1/105*u**6 + 0*u**5 + c*u**2 + 0 + 1/21*u**4. Factor s(f).
-4*(f - 1)*(f + 1)**3/7
Suppose 0 = -233*m + 227*m. Let a(z) be the second derivative of 0 - 3*z - 1/72*z**4 - 1/18*z**3 + m*z**2. Solve a(u) = 0 for u.
-2, 0
Let j = -30 - -33. Let z(m) be the third derivative of m**2 + 1/40*m**4 - 1/100*m**5 + 1/5*m**j + 0*m + 0. Factor z(r).
-3*(r - 2)*(r + 1)/5
Factor 0 + 12/11*p + 8/11*p**3 + 2*p**2 - 2/11*p**4.
-2*p*(p - 6)*(p + 1)**2/11
Let z(g) be the second derivative of 0 - g**4 - 1/2*g**7 - 7/2*g**3 + 21/10*g**5 + 1/5*g**6 + 15*g + 3*g**2. Find n, given that z(n) = 0.
-1, 2/7, 1
Let 73*u**4 - 75*u**4 + 4*u**3 + 4*u + 3*u**3 + 15*u**3 - 52*u**2 + 28*u = 0. Calculate u.
0, 1, 2, 8
Let y be (-75 - 6)*(-8)/(-44). Let a = y - -876/55. Let 0 - 4/5*o - a*o**2 - 2/5*o**3 = 0. What is o?
-2, -1, 0
Let w(l) be the first derivative of -405/4*l**4 + 80*l**2 - 28 - 75*l**3 - 20*l. Factor w(t).
-5*(t + 1)*(9*t - 2)**2
Let o(j) be the first derivative of 3*j**3/10 - 73*j**2/10 + 16*j/5 + 799. What is b in o(b) = 0?
2/9, 16
Let w(f) be the second derivative of -f**6/40 + 3*f**4/8 + f**3 - 11*f**2 + 19*f. Let l(s) be the first derivative of w(s). Factor l(v).
-3*(v - 2)*(v + 1)**2
Suppose 30 = 6*j - j. Let x be (-1)/10*j*-5. Find f such that -6 + 9 + 2*f**2 - 2*f**3 - x = 0.
0, 1
Let n(d) be the first derivative of -d**7/2940 + d**6/315 + 11*d**5/420 + d**4/14 - 4*d**3/3 - 12. Let l(o) be the third derivative of n(o). Factor l(x).
-2*(x - 6)*(x + 1)**2/7
Solve 2/9*d**2 - 8/9 + 2/3*d = 0 for d.
-4, 1
Let s(r) be the first derivative of 10*r**6 - 69*r**5/5 - 537*r**4/4 + 209*r
|
{
"pile_set_name": "DM Mathematics"
}
|
024?
21030
In base 4, what is 333 + 0?
333
In base 14, what is 135 + -4c?
c7
In base 6, what is 231 - 2?
225
In base 8, what is -2125 + 1?
-2124
In base 7, what is 5 + -110?
-102
In base 15, what is -5 + -1cc?
-1d2
In base 5, what is 4031 - 1?
4030
In base 5, what is 14 - -320?
334
In base 2, what is 1101110 + 11?
1110001
In base 2, what is 100001011 - -101?
100010000
In base 16, what is -304 + -1?
-305
In base 9, what is 177 - 1?
176
In base 10, what is -315 - -4?
-311
In base 5, what is 3 - 11404?
-11401
In base 16, what is 5 + 438?
43d
In base 14, what is 6828 + 2?
682a
In base 10, what is -1324 + 3?
-1321
In base 10, what is -13 + 330?
317
In base 14, what is -3 + -458?
-45b
In base 15, what is 4 - -57?
5b
In base 15, what is -261 + -5?
-266
In base 14, what is -24 - -29?
5
In base 15, what is 1 + -1d?
-1c
In base 3, what is -1021002 - 2?
-1021011
In base 5, what is 0 + -34?
-34
In base 2, what is 10010 + 1010010?
1100100
In base 13, what is 32 + -3?
2c
In base 15, what is 4 + 102?
106
In base 5, what is -3430 - 4?
-3434
In base 15, what is 14 - -31?
45
In base 8, what is 2760 + -5?
2753
In base 4, what is 2 - -1?
3
In base 4, what is 11 - 10310?
-10233
In base 14, what is 3c6 + 0?
3c6
In base 10, what is 1 - -200?
201
In base 10, what is 348 - -3?
351
In base 4, what is 10312 + -11?
10301
In base 7, what is -65 + 5?
-60
In base 12, what is -5 - -5a9?
5a4
In base 15, what is 0 - -85?
85
In base 7, what is 104 + -16?
55
In base 15, what is e + 12?
21
In base 14, what is 5 + 52?
57
In base 14, what is 4 + 2d2?
2d6
In base 14, what is -56 - 70?
-c6
In base 7, what is 6 + 14343?
14352
In base 15, what is 0 + 37?
37
In base 13, what is 117 + -1?
116
In base 7, what is 0 - 26?
-26
In base 11, what is -285 + 3?
-282
In base 16, what is 3a - -49?
83
In base 2, what is 0 + 1100001000?
1100001000
In base 2, what is -1 + 100011000?
100010111
In base 4, what is 2 - 132331?
-132323
In base 14, what is 5 - -b88?
b8d
In base 16, what is 13 + e?
21
In base 11, what is -5620 - 2?
-5622
In base 15, what is -7 - 16?
-1d
In base 6, what is -2 - 12122?
-12124
In base 14, what is -8 + -41?
-49
In base 9, what is -1 - -157?
156
In base 5, what is 11 + -2104?
-2043
In base 9, what is 24 - -10?
34
In base 10, what is -63 - -4?
-59
In base 12, what is 6964 - -4?
6968
In base 3, what is 200 + 110?
1010
In base 13, what is b69 + -2?
b67
In base 11, what is 3 - -7?
a
In base 6, what is -3 + -4205?
-4212
In base 2, what is 1 - -1000001101?
1000001110
In base 9, what is -178 + 23?
-155
In base 2, what is 10000 + 10000111010?
10001001010
In base 2, what is -111010 + 110100?
-110
In base 10, what is 4993 - -3?
4996
In base 8, what is 717 + -61?
636
In base 14, what is -109 + -5?
-110
In base 6, what is -50 - 3?
-53
In base 7, what is 1 + 16?
20
In base 2, what is 11010001000 + 10?
11010001010
In base 9, what is 1 + 6380?
6381
In base 12, what is -1412 - 7?
-1419
In base 7, what is 5 + 3155?
3163
In base 8, what is 511 + -25?
464
In base 4, what is -222 + -2021?
-2303
In base 4, what is 3 + -30021?
-30012
In base 6, what is 551 + 0?
551
In base 3, what is 11 + 121222?
122010
In base 8, what is 4 + -4337?
-4333
In base 6, what is -1142 + 10?
-1132
In base 11, what is -6 - 58?
-63
In base 14, what is 1 - 8?
-7
In base 8, what is 4 - -323?
327
In base 16, what is -2 - ec?
-ee
In base 5, what is 2 - 120?
-113
In base 15, what is -5 - 4a?
-50
In base 8, what is 6 + 57?
65
In base 16, what is -52 - 13?
-65
In base 15, what is -25 - -1?
-24
In base 4, what is -22020 + 11?
-22003
In base 15, what is -3d + 204?
1b6
In base 16, what is 3 - -6a?
6d
In base 4, what is -1 - 2332?
-2333
In base 5, what is -4 - 1140?
-1144
In base 11, what is -4 - 24?
-28
In base 13, what is -1 + -315?
-316
In base 14, what is -1 - -22c?
22b
In base 14, what is 1 + -a?
-9
In base 3, what is -1221 - -212?
-1002
In base 10, what is -27 - -16?
-11
In base 13, what is -32 - 4?
-36
In base 11, what is 3 - -70?
73
In base 4, what is -110 + 1033?
323
In base 8, what is -5 - 115?
-122
In base 3, what is 1 - 221?
-220
In base 15, what is 5 - 2da?
-2d5
In base 2, what is 1001010111 + 10?
1001011001
In base 10, what is -26 - 2?
-28
In base 13, what is a - c8?
-bb
In base 3, what is -110002 - -102?
-102200
In base 3, what is 10 + 200?
210
In base 2, what is -10 + 110010?
110000
In base 2, what is 0 + 10010101010?
10010101010
In base 15, what is 6 - -eed?
1004
In base 14, what is -2 - -348?
346
In base 10, what is 0 - -85?
85
In base 8, what is -27 + -25?
-54
In base 13, what is 3 - -bac?
bb2
In base 5, what is 2 - 110?
-103
In base 4, what is 123100 + 10?
123110
In base 12, what is -1b1b - -2?
-1b19
In base 3, what is 220222 + -11?
220211
In base 7, what is -5235 - 6?
-5244
In base 14, what is 33 - -3a?
6d
In base 6, what is 2 + 100?
102
In base 2, what is 100 + -11101000?
-11100100
In base 9, what is 37 + 3?
41
In base 7, what is 465 - 4?
461
In base 3, what is -12 - 112?
-201
In base 13, what is 9 - 661?
-655
In base 14, what is 5 - 99?
-94
In base 7, what is 3 - 140?
-134
In base 12, what is -131 + 4?
-129
In base 10, what is 255 + 2?
257
In base 3, what is -2 + 10102021?
10102012
In base 16, what is -2 + 1f?
1d
In base 9, what is -560 + 15?
-544
In base 11, what is -5 + 116?
111
In base 8, what is -324 - 3?
-327
In base 10, what is -328 + 3?
-325
In base 15, what is 1e + -8?
16
In base 14, what is -3 - 24?
-27
In base 8, what is 3 + -1013?
-1010
In base 8, what is -100576 - 5?
-100603
In base 3, what is 1 + -1010?
-1002
In base 4, what is -2 - -313?
311
In base 15, what is -3 + -49?
-4c
In base 3, what is -12 - -20221?
20202
In base 6, what is -1 + -4210?
-4211
In base 8, what is 1665 - -7?
1674
In base 10, what is -41 - -27?
-14
In base 2, what is 1000110 + 1001011?
10010001
In base 12, what is 62 + -36?
28
In base 2, what is 1 + 110100?
110101
In base 5, what is -100040 + 10?
-100030
In base 14, what is 56 - 5?
51
In base 2, what is 10001 + 1111011?
10001100
In base 7, what is 12503 + 2?
12505
In base 6, what is -5 + 532?
523
In base 11, what is 4a + -18?
32
In base 5, what is 100140 + -4?
100131
In base 5, what is -11 + 20212?
20201
In base 14, what is -9c2 - 4?
-9c6
In base 2, what is 10011 - -11000?
101011
In base 14, what is 33 - -c?
41
In base 13, what is -4b - -1?
-4a
In base 16, what is -1c - 2f?
-4b
In base 15, what is -59e - 4?
-5a3
In base 12, what is 151 + -70?
a1
In base 8, what is -3 + 41?
36
In base 6, what is -21230 + 0?
-21230
In base 7, what is 20620 + 2?
20622
In base 9, what is -545 - -5?
-540
In base 6, what is -111 + 1335?
1224
In base 4, what is 10 + -120?
-110
In base 11, what is 3 - -2?
5
In base 15, what is -3 - 7?
-a
In base 5, what is 3201 - -2?
3203
In base 15, what is b - 80?
-74
In base 3, what is -10 + 2102?
2022
In base 5, what is 3 + 1244?
1302
In base 14, what is 4656 + 4?
465a
In base 14, what is -5 - 53?
-58
In base 10, what is -1032 + 3?
-1029
In base 5, what is -231 + 1?
-230
In base 3, what is 101 - -10022111?
10022212
In base 7, what is 1250 + 22?
1302
In base 7, what is 6 + 135?
144
In base 15, what is -1 + -21?
-22
In base 11, what is 1 + -427?
-426
In base 4, what is 33 - 11?
22
In base 10, what is -42 + 4?
-38
In base 10, what is 163 + 36?
199
In base 3, what is -10 - 22001212?
-22001222
In base 11, what is 5 + -184?
-17a
In base 11, what is -99 + 2?
-97
In base 8, what is 42 - 104?
-42
In base 11, what is 0 + 8a8?
8a8
In base 8, what is 4 + 3206?
3212
In base 5, what is -4 - -1322?
1313
In base 16, what is -5 + 1079?
1074
In base 6, what is 3 - 31?
-24
In base 14, what is 5 + -29?
-24
In base 9, what is 6 + 10?
16
In base 6, what is -5 - -14021?
14012
In base 9, what is 181 - -82?
273
In base 6, what is -204 + 203?
-1
In base 14, what is 4 - -2394?
2398
In base 6, what is -2410 - 5?
-2415
In base 4, what is -3 + -1231?
-1300
In base 5, what is 424 - 0?
424
In base 4, what is -2 + -101221?
-101223
In base 12, what is -3 + -48?
-4b
In base 14, what is -2 - 126?
-128
In base 5, what is -24 - -1?
-23
In base 8, what is -201 - -2?
-177
In base 8, what is 11743 + 1?
11744
In base 7, what is 0 - 221?
-221
In base 13, what is c2 + 2?
c4
In base 4, what is -113 - -20?
-33
In base 6, what is -5000 + 12?
-4544
In base 13, what is -5 - -2?
-3
In base 12, what is 5 + 534?
5
|
{
"pile_set_name": "DM Mathematics"
}
|
-29283 + 29282.975869. What is k rounded to three dps?
-0.024
Let o(x) = 1457778*x**2 - 12. Let b be o(-3). Suppose 0 = 2*z - 5*s - 877894 + 7437919, -b = 4*z + 2*s. What is z rounded to the nearest 100000?
-3300000
Let b = 672.52 + -672.555453. Round b to 4 decimal places.
-0.0355
Let u = 15.18 + -15.17951018. Round u to four dps.
0.0005
Let i = -1.70204442 + 1.702. Round i to five dps.
-0.00004
Let v be ((-5)/3 + 2)/(3/54). Suppose v*o - 675 = -3555. Round o to the nearest one hundred.
-500
Let y = 849.54 + 2.46. Let f = -841.52 + y. What is f rounded to the nearest ten?
10
Let b = -0.15708706 - 0.24091938. Let r = b - -0.398. Round r to seven decimal places.
-0.0000064
Let v = 2001.0000017296 - 2001. What is v rounded to seven dps?
0.0000017
Let w = 30.759 + 1.321. Let k = w + -0.38. What is k rounded to the nearest 10?
30
Suppose -7*n = 121461945 - 10895545. Round n to the nearest one hundred thousand.
-15800000
Suppose -13*j + 19*j - 204 = 0. Suppose 12444455 + 21229145 = -j*y. What is y rounded to the nearest one hundred thousand?
-1000000
Let f = -0.033 + -4.417. Let x = -4.3684 - f. Round x to three dps.
0.082
Let j(n) = 11037001*n**2 - 296*n + 295. Let o be j(1). What is o rounded to the nearest 100000?
11000000
Let z = 482.44 - 480. Let j = 2.43998815 - z. What is j rounded to six dps?
-0.000012
Let x = 1470124 + -3737124. What is x rounded to the nearest one million?
-2000000
Let u = -866.685 + -0.515. Round u to the nearest one hundred.
-900
Let r = 0.108 + -11.798. Round r to one dp.
-11.7
Let f = -1228.34 + -21.66. Let b = f - -1249.99998851. What is b rounded to six decimal places?
-0.000011
Suppose 5*v + 332 = 297. Let x(d) = 111996*d - 28. Let p be x(v). What is p rounded to the nearest one hundred thousand?
-800000
Let h = -3.30753891 - 6642.27274109. Let c = -6646 - h. Let d = 0.42 + c. What is d rounded to four dps?
0.0003
Suppose 99587180 = -0*o + 14*o. Let l = o + -10373370. Round l to the nearest 100000.
-3300000
Let c = 924518 + -16528. Let g = c + -907986.00003. Let d = g - 4. Round d to four decimal places.
0
Let v = 12.601895425 + -12.602. Round v to 6 dps.
-0.000105
Let c = -392.5 + 392.513808. What is c rounded to four dps?
0.0138
Let r be 559432/14 - (-40)/70. Let f = -139960 + r. Let a be (f/(-12))/(-2)*-1800. What is a rounded to the nearest one million?
8000000
Let t(n) = -2*n**2 + n - 8. Let p be t(-3). Let u = p + -11. Let h be u/3*(-3 + (-1791)/6). Round h to the nearest one hundred.
4000
Let r = -2814.76 - -3001. Round r to the nearest ten.
190
Suppose 0 = -156*m - 155400991 - 431627009. Round m to the nearest 10000.
-3760000
Let i = 1438.53 + -25144.13. What is i rounded to the nearest one hundred?
-23700
Let u = 0.86 + -2.89. Let j = u + 2.03000786. What is j rounded to 6 dps?
0.000008
Let l = -1.07 - 57.33. Let y = l + 58.40001702. Round y to 6 decimal places.
0.000017
Let r = 0.34 + -0.83. Let d = 20576.0099696 - 20576.5. Let z = d - r. Round z to 6 decimal places.
-0.00003
Let j = -0.356 + 26.556. Let b = 25.3 + j. What is b rounded to the nearest ten?
50
Let m be (-84)/(-20) - 3/15. Suppose 0 = -m*v + 4162378 + 1437226. Let i = v + 6200099. What is i rounded to the nearest one million?
8000000
Suppose 180 = 63*q - 53*q. Suppose q*o + 4*o = -140250. Round o to the nearest 1000.
-6000
Let n = -1567 + 1566.999990745. What is n rounded to seven dps?
-0.0000093
Suppose 0 = -4*z - 9*z + 78. Let b be (0 + 10)/(z/(-3)). Let p be 15501/b + (217/35 - 6). What is p rounded to the nearest 1000?
-3000
Let q(y) = 5*y**3 + 2*y**2 - 3*y - 1. Let o be q(-7). Let u be o + (-5 - (-4 - -1)). Let i = -2869 - u. Round i to the nearest 100.
-1300
Let g be 6/(-5)*-49 + 2/10. Suppose -60*a + 486005 = -g*a. Suppose 0 = -0*v + 3*v + d - a, 0 = -v + 3*d + 161985. What is v rounded to the nearest 10000?
160000
Let y = -32 - -34.5. Let z = y - 0.5. Let x = -1.901 + z. Round x to two decimal places.
0.1
Let f = -5292.99997231 - -5293. What is f rounded to six dps?
0.000028
Let z be (945/35)/(2/126). Let c be (1800/(-2))/(-4 + z/427). What is c rounded to the nearest 10000?
50000
Let g = 1529594326 + -1529594540.00000206. Let y = g + 214. Round y to 6 dps.
-0.000002
Let i = 222 + -231.8. Let g = 2341 - 2331.2456. Let h = i + g. What is h rounded to 2 dps?
-0.05
Let p = -15040495.91000526 + 15040498.3. Let n = p + -2.39. What is n rounded to 7 dps?
-0.0000053
Let s = 48354.9999976759 - 48355. What is s rounded to 7 decimal places?
-0.0000023
Let n = -67.133 + 0.133. Let q = n - -47. Let r = q + 20.104. Round r to two decimal places.
0.1
Let i = -0.2868 + 1376.2868. Let z = i - 1375.999437. Round z to five dps.
0.00056
Let q = -6837 + 6840.307. What is q rounded to 1 decimal place?
3.3
Suppose -3 + 1 = -y. Let r(s) = s**3 + 3*s**2 - s - 4. Let p be r(-2). Suppose -y*f + 464 = -x, 2*f + f + 914 = -p*x. What is x rounded to the nearest 100?
-500
Let j(l) = 7*l - 5. Let t be j(2). Let y be 3/t - 8020/9*3. Let h = y - -7373. Round h to the nearest one thousand.
5000
Let h = -1923 + 1076. Let z = h - -845.236. Round z to 1 dp.
-1.8
Suppose -3*j = 5*s + j - 550076, -330032 = -3*s + j. Suppose -4*m - 19 + 7 = 0, -f = m. Suppose -4*c + 3*k = -s, 3 = f*k + 15. Round c to the nearest 1000.
28000
Let a = -4 - -6. Let i(l) = 2*l - 29 + 8660*l**2 - 16649*l**2 - 15276*l**a. Let m be i(7). Round m to the nearest one hundred thousand.
-1100000
Let h = -367 - -335. Let r = -6220.211 + 6252.2. Let t = r + h. Round t to three dps.
-0.011
Let o(f) = -12854*f**3 + 6*f**2 + 18*f + 12. Let d be o(-8). What is d rounded to the nearest 1000000?
7000000
Let y = 4514 - 4515.1263. Let d = 47.3563 + y. Let f = 41.9 - d. Round f to the nearest integer.
-4
Let p = -23369 - -23368.967159. What is p rounded to four decimal places?
-0.0328
Let f = 85 - 84.949. Let y = 85 + -85.041. Let d = f + y. Round d to 1 dp.
0
Let z = 25.839 - 14.7815. What is z rounded to 2 decimal places?
11.06
Let y = 1659.6892 + -0.1892. Round y to the nearest one thousand.
2000
Let m = 57.873 + -58. Let d = 0.154 + m. What is d rounded to 1 decimal place?
0
Let g be (-4)/14 + 504/49. Let z(h) = -h**2 + 13*h - 24. Let k be z(g). Suppose -k*p - 134531 - 2385469 = 0. Round p to the nearest 100000.
-400000
Let v = -0.19041 + 0.11621. What is v rounded to 1 dp?
-0.1
Let t = 27940.1 + -25333. What is t rounded to the nearest one hundred?
2600
Let r = -18068.0502 + 18073. What is r rounded to 0 dps?
5
Let b = 1 - -6. Suppose -b*h + 3*h = -72720. Suppose 28*s - 25*s = -h. Round s to the nearest 1000.
-6000
Let w = -27.61 + 27.571. Let r = 343.326 - 344. Let d = w + r. What is d rounded to one dp?
-0.7
Let j = -10.453 - 1231.347. Round j to the nearest 10.
-1240
Suppose 0 = 23*d - 58*d - 1625470. What is d rounded to the nearest ten thousand?
-50000
Let f = 7611 + -7660.23. Let a = f - -49.229993578. What is a rounded to 7 dps?
-0.0000064
Suppose -42 = -7*o - 0*o. Suppose -264 = -5*s + p, -4*s = 4*p - o*p - 216. Suppose -g - 4*q + 0*q = 61, -g = -5*q + s. What is g rounded to the nearest 10?
-60
Let w = 565 - 647.2. Let y = -6136 - -6052. Let m = w - y. Round m to the nearest integer.
2
Let q = -0.103 - 230.897. Let g = -236.7 - q. What is g rounded to zero dps?
-6
Let v = -3293616 - -3293487.01714. Let i = 129 + v. Round i to two decimal places.
0.02
Let k(y) = -y**2 - 16*y + 70. Let v be k(-19). Suppose 0 = v*c + 11*c - 17016000. What is c rounded to the nearest 100000?
700000
Let c = 9874.8544 - 9879. What is c rounded to one decimal place?
-4.1
Suppose -y + 4*l - 8 = 3*y, -y + 18 = 3*l. Suppose 14*q + 2*j = 13*q + 439, -2169 = -5*q + y*j. Round q to the nearest one hundred.
400
Let t be 5943 + 30/(-10) + -3. Let a(y) = -113*y**2 + y + 7. Let p be a(-6). Let u = p + t. What is u rounded to the nearest one hundred?
1900
Let a = -0.128384 - -0.10571. What is a rounded to two decimal places?
-0.02
Let q = 0.87258 + 3.72932. Round q to 2 dps.
4.6
Let r = -2617.1 + 2617.25297. What is r rounded to two decimal places?
0.15
Let t = -61686.00036113 - -61686. What is t rounded to 4 dps?
-0.0004
Let k = -66575 + 66705.196. Let y = -10.4 - 119.6. Let n = k + y. Round n to 2 decimal places.
0.2
Let m be (0/4)/(-4) + 0. Suppose -w + n = -m*w + 2869995, -14349995 = 5*w - n. Round w to the nearest one hundr
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the tens digit of l?
6
Let w = 2248 - 1218. Suppose -c = 4*q - w + 257, -5*q - 10 = 0. What is the units digit of c?
1
Let n(i) = i**2 - 47*i + 17. Suppose 0 = -25*v - 143 - 132. What is the hundreds digit of n(v)?
6
Let q = 9763 - 6967. What is the units digit of q?
6
Suppose 2348 = -5*f - 4062. Let x = f - -2032. What is the units digit of x?
0
Suppose -2*c - 47 = -3*b, -c + 3*c = -3*b + 55. Suppose b = 4*d - 3. Suppose -d*s + 36 = 2*f, -4*f - 12 = -3*s + 20. What is the units digit of s?
8
What is the thousands digit of 18/22 + -1 + 0 + (-135568)/(-22)?
6
Let n(o) = 36*o + 304. Let w be n(-6). Suppose 0 = 4*q - 5*j - 119, 5*q - w = -3*j + 70. What is the units digit of q?
1
Let s = -4672 + 8907. What is the units digit of s?
5
Let d(c) = -3*c**3 - 52*c**2 + 73*c + 1631. What is the hundreds digit of d(-29)?
9
Suppose 2*v = 0, -3*v = w - 6316 - 1538. Suppose w = 10*r + 4*r. What is the tens digit of r?
6
Suppose 5*b = -4*a + 33, 2*a + 3*a - 20 = -2*b. Suppose -2*g = d - 97, -3*d + 318 - a = g. Suppose 317 = 4*l - d. What is the hundreds digit of l?
1
Let g(f) = 36*f**2 - 1337*f + 2. What is the units digit of g(43)?
5
Let l(d) = -d**3 - 6*d**2 - 9*d - 2. Let n be l(-3). Let k(y) = -177*y - 28. What is the hundreds digit of k(n)?
3
Let c(a) be the first derivative of -14*a + 1/3*a**3 - 45 - 9/2*a**2. What is the units digit of c(21)?
8
Suppose 3*n = -6*u + 7*u + 2697, 4*n - 5*u - 3585 = 0. Suppose -4*c + 6*a = 3*a - n, -c - a + 218 = 0. What is the tens digit of c?
2
Let j(k) = 102*k**3 + 3*k**2 + 4*k - 18. Let v(n) = -n**3 - 35*n**2 - 64*n + 68. Let c be v(-33). What is the units digit of j(c)?
8
Suppose 6*b + 264 = 9*b. What is the tens digit of (b + 2 + -2)*16/32?
4
Let r(t) = t**2 - t + 4. Let f be r(-4). Let i = 24 - f. Suppose i = 5*m - 91 - 94. What is the tens digit of m?
3
Let o(k) = -k**3 - 16*k**2 - 19*k + 15. Suppose 0 = -4*n - 5*w - 50, 4*w - w - 6 = 0. Let b be o(n). Let s = 49 + b. What is the units digit of s?
4
What is the ten thousands digit of 16123*(-8 - -9) - (-14)/(1 + 1)?
1
Suppose 3*s = -9, 0 = 16*c - 21*c + 5*s + 47040. What is the thousands digit of c?
9
Let c(m) = -m**2 + 99*m - 1412. Let v be c(19). Suppose 5*t - t - 292 = 5*s, t - 73 = 4*s. Let q = v + t. What is the tens digit of q?
8
Let w = -142 - -160. Let v be (14/8)/(-7)*-12. Let q = w - v. What is the units digit of q?
5
Let o(k) = 10*k**2 + 2*k - 26. Let j be o(17). Suppose -3*g - 732 = -c, -2*c - 2*c - 3*g + j = 0. What is the hundreds digit of c?
7
Let u be ((-9)/(45/3130) - 0) + 4. Let i = u + 1056. What is the units digit of i?
4
Suppose -41*z = -22*z - 1615. Suppose l - 5 = z. What is the units digit of l?
0
What is the ten thousands digit of 37*461 + 18/66*11?
1
Suppose 41*a - 43*a = -5*c + 12681, -10143 = -4*c + a. What is the units digit of c?
5
Suppose -l = 2*b + b - 6, -7 = -4*b - l. Suppose 0 = -f + 5*f - 3*w + b, 4*f = 5*w + 1. What is the tens digit of (-92 + -2)/(f - 1)?
4
Suppose -191*n + 30894 = 186*n - 374*n. What is the thousands digit of n?
0
Suppose 0 = 2*t - v - 1569, 5*t - 4*v - 3922 = -v. Suppose -13*d + 21 = -t. What is the units digit of d?
2
Suppose -41*d = -21*d - 26*d + 273768. What is the hundreds digit of d?
6
Let f = -13 + 20. Suppose 2 = 3*i - f. What is the hundreds digit of 19492/99 - i/(-27)?
1
Let g be 0*(7 - 4 - 2). Suppose 11*q - 5*q - 1596 = g. What is the units digit of q?
6
Let a be -2*69/(-24) - (-3)/12. What is the units digit of 4/a + (-42760)/(-120)?
7
Suppose -6*u - 7*u = 390. Let g be (24/14 - u/105) + 2. What is the hundreds digit of 2 - (-136 + g) - 3?
1
Suppose 16043 = -16*k + 117675. What is the tens digit of k?
5
Suppose -4*q + 4589 = -2*v + 34161, q - 14801 = -v. What is the thousands digit of v?
4
Suppose 1 = -m, m + 16 = 3*g - 0*m. Suppose 4*d = 2*r + 2626, 2*d + g*r = 723 + 596. Suppose -6*w = -d - 159. What is the units digit of w?
6
Suppose -h - 2*a + 149 = 0, 3*h - a = 663 - 216. What is the units digit of h?
9
Let j(i) be the second derivative of 13*i**4/12 - 2*i**3 + 35*i**2/2 + 2*i + 1. What is the hundreds digit of j(7)?
5
Let i be (((-298)/(-8))/(-1))/(47/(-10716)). Suppose -37*f + i = -646. What is the units digit of f?
7
Let b(h) = -99*h - 21. Let y be b(-2). Suppose m + z - y = 0, -2*z = -m - 0*z + 186. What is the hundreds digit of m?
1
Let l(p) = -p**2 + 7*p - 1. Let m be l(5). Let q be 300/(-40)*24/(-10). What is the tens digit of 4/q + 349/m?
3
Let i(r) = 156*r - 3. Let t be i(11). Suppose 20*b - 17*b = t. What is the units digit of b?
1
Suppose -4*k + 5*b - 925 = 0, 0 = b - 2*b + 5. Let x = k - -596. What is the units digit of x?
1
Let v = -21 - -25. Suppose 0 = -v*b + 23 + 9. Suppose -b*j - 4*j = -780. What is the tens digit of j?
6
Let h(x) = 265*x + 13. Let a(v) = -7*v + 78. Let d be a(11). What is the tens digit of h(d)?
7
Let y(m) be the third derivative of m**5/4 + 5*m**4/24 - 49*m**3/6 - 2*m**2 + 16. What is the units digit of y(5)?
1
Suppose -5*s = 2*u - 24, -5*u + s + 14 = 2*s. Suppose 0 = -u*g + 1285 - 351. What is the tens digit of g?
6
Let o(d) = 84*d**2 - 79*d + 150. Let z be o(2). Let n be (-3)/3*-1 - -2. Suppose 4*x - 220 = -n*j, -5*j + x + 2*x = -z. What is the units digit of j?
8
Suppose -9*k + 12090 = -39*k. Let d = -262 - k. What is the units digit of d?
1
Let o(q) = q**2 + 7*q + 17. Let p(b) = b. Let j(h) = o(h) - 6*p(h). Let s be j(-10). Let d = s + 28. What is the tens digit of d?
3
Let i(f) = 788*f**2 - 35*f - 11. What is the ten thousands digit of i(-6)?
2
Let v be ((-24)/9)/(-4) - (-36)/27. Let j be (-216)/32 + v/(-8). Let a(g) = -g**3 - 2*g**2 - 2*g - 22. What is the hundreds digit of a(j)?
2
Let z(r) = -2*r**3 + r**3 - 4*r - 6 - 12*r**2 - 5*r. Let g = -8 - 4. What is the tens digit of z(g)?
0
Suppose 31*s - 37*s + 18 = 0. Suppose 0 = 16*b - 14*b - s*f - 678, -3*b - 5*f + 979 = 0. What is the units digit of b?
3
Let a(t) = -4*t**2 + 40*t + 5. Let l be a(10). Suppose 2*k = k + 6. Suppose -5*j + 4*y + 299 = 0, -70 + k = -j + l*y. What is the units digit of j?
9
Let c(o) = 7*o**3 + 7*o**2 + o + 127. What is the tens digit of c(8)?
6
Let d(l) = -5*l + 23. Let u be d(-13). Suppose 4*f + 5*r + u = 0, 0 = -6*f + 5*f - 2*r - 22. What is the tens digit of -4*f/2*1?
4
Let g(f) = -4*f**2 - 8*f - 11. Let m(i) = 9*i**2 + 15*i + 23. Let x(b) = -7*g(b) - 3*m(b). Let y be x(10). Suppose 3*o = y - 74. What is the units digit of o?
8
Let i(w) = 379*w - 14. Let c be i(6). Suppose 2*g - c = -2*g. What is the units digit of g?
5
Suppose 26 - 270 = 4*o. Let j = o - -19. Let a = j - -127. What is the units digit of a?
5
Let s = 5738 - 634. What is the hundreds digit of s?
1
Suppose 22*o + 2366784 = 60*o - 403530. What is the tens digit of o?
0
Let s = 6856 + 6711. What is the tens digit of s?
6
Let c(t) = 3*t**2 + 1. Let z be c(-1). Suppose -4*f = -0*l - l + 824, -z*f - 824 = -3*l. Let b = f + 289. What is the units digit of b?
3
Let t be 3*1/3 - -1. Suppose 2*p - 6 = 0, -x + p = t*x + 138. What is the units digit of (-1)/5 - 2619/x?
8
Let n(s) be the second derivative of -s**4/12 - 8*s**3/3 - 9*s**2/2 + 12*s. What is the tens digit of n(-12)?
3
Let c(i) = 6*i**2 + 89*i + 5. Suppose -w = -0*w - 3*y - 11, -36 = -4*w + 4*y. What is the tens digit of c(w)?
0
Let n be (-3)/(-4*5/(-20))*-1. Let z = n - -66. What is the tens digit of z?
6
Let s(h) = 9*h - 16. Let f be ((3/(-4))/3)/(1/4). Let q(t) = -1. Let k(p) = f*s(p) + 4*q(p). What is the units digit of k(-9)?
3
Let z(k) = 13*k + 13. Let t be z(-1). Suppose t*o = -4*o + 4028. What is the hundreds digit of o?
0
Let m be 8/1*(-7)/(-14). Suppose -m*n - 315 = -1547. What is the hundreds digit of n?
3
Let w = 618 + 229. Suppose 4*a + 4*t = 1132, 2*a = -a - t + w. What is the hundreds digit of a?
2
Let j(x) = x**2 - 2*x + 339. Let b be 4/14 + 141/21 + -7. What is the hundreds digit of j(b)?
3
What is the hundreds digit of (-8 - -9) + -10 + 8493?
4
Suppose 0 = 8*w + 734 - 774. Suppose 4*z + 323 + 672 = 5*c, -z = -w. What is the hundreds digit of c?
2
Let v(z) = -3*z**3 - 41 + 4*z + z**3 - 36. Let p(y) = -y**3 + 3*y - 78. Let t(q) = -3*p(q) + 2*v(q). What is the units digit of t(0)?
0
Suppose -630 = -5*j - 2*i, 0 = 3*j + 5*i - 3*i - 378. Suppose -11*u - j = -2*u. What is the units digit of (-78)/u - 80/140?
5
Let m(o) = o - 1. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
0.26832423. Let k = c - 19. What is k rounded to five dps?
0.00007
Suppose 2*k - 2 = 0, -2*k - 20539 = -4*q + 12219. What is q rounded to the nearest one hundred?
8200
Let w be 5 - 2 - 26099997*-1. What is w rounded to the nearest one million?
26000000
Let n = 38.8 + 33.8. Round n to the nearest ten.
70
Suppose 7 = w - 3*i, 2*w - 3*i - 11 = 6. Suppose 3*p + 5*a + 2 - 27 = 0, 0 = -2*a + w. Suppose -5*d - 156 + 626 = p. What is d rounded to the nearest 10?
90
Let n = 29 - 28.224. Let u = n - -0.064. Round u to one dp.
0.8
Let v = -62.88 + -0.12. Let r = -724387780.7 - -724387843.70000074. Let j = r + v. What is j rounded to 7 dps?
0.0000007
Let n be (9/15)/((-1)/(-5)). Suppose -3 = -3*k + n. Let o be 3798 - ((6 - k) + -6). Round o to the nearest one thousand.
4000
Let m = 14437 - 14436.3263. Let s = 23.32366 + m. Let k = s - 24. Round k to four dps.
-0.0026
Let h be (-44*592 - 12) + 0. What is h rounded to the nearest one thousand?
-26000
Suppose 2*g = 7*g - 2*a + 53746, -2*g - 21514 = 7*a. Round g to the nearest 1000.
-11000
Let r = -26.32 - -3.68. Let a = -23 - r. What is a rounded to 1 decimal place?
-0.4
Let z = 29889.44 + -29889.61699722. Let v = 0.177 + z. What is v rounded to seven decimal places?
0.0000028
Let p = 653 - 652.595. What is p rounded to two decimal places?
0.41
Let j = 11.9 + 90.1. Let d = 19848.89 - 19748. Let m = j - d. Round m to one decimal place.
1.1
Let j = -21.98 + 22. Let i = -9.02 + j. Let x = i - -9.003. What is x rounded to 2 decimal places?
0
Let p = 0.528 - 0.078. What is p rounded to one decimal place?
0.5
Suppose -30*l - 117486 - 3920514 = 0. What is l rounded to the nearest ten thousand?
-130000
Let a = -0.02 - 1.98. Let s = 4.073 + 0.127. Let d = a - s. What is d rounded to 0 decimal places?
-6
Let a be 4/26 - 49596/(-78). Let b be (a/(-16))/(2/(-8)). Round b to the nearest 10.
160
Suppose 1079*u = 1078*u - 4630000. Round u to the nearest one million.
-5000000
Let i = -9.14 + 9. Let p = 0 + i. Let f = p + 0.13999905. What is f rounded to 7 decimal places?
-0.000001
Let a = 412443 + -412496.5979. Let g = a - 0.0021. What is g rounded to the nearest ten?
-50
Let r = 0.41356 - -0.163. Let g = 0.57 - r. Round g to 3 dps.
-0.007
Suppose 0 = 3*g + 2*g - 20. Let c(p) = -52*p**2 + 6*p. Let k be c(g). Let z = k - -2078. What is z rounded to the nearest one hundred?
1300
Let w = 94.385 - 94. Let c = 0.33 - w. What is c rounded to 2 dps?
-0.06
Let d = 0.6 - 2.9. Let u = 6.7 - d. Let p = u + -8.999888. What is p rounded to 5 decimal places?
0.00011
Let u = 23 - -4. Let i = 9 + u. Let v = 36.00000085 - i. Round v to seven dps.
0.0000009
Let y = -1.69 - -18.29. Let m = 1.6 - y. Let o = m - -15.00063. What is o rounded to four dps?
0.0006
Let u = 240076382403680.02200021 + -240076383675200. Let s = u - -1271520. Let m = s + -0.022. Round m to 7 decimal places.
0.0000002
Let k = -187.7 - -196. Let h = k - -2.7. Let i = h - 11.000036. What is i rounded to five decimal places?
-0.00004
Suppose -5*l + 1940 = 5*w, -5*l + w - 203 = -2149. What is l rounded to the nearest one hundred?
400
Let v = 0.162 + -0.059. Let d = v + -0.603. Round d to two decimal places.
-0.5
Let f = -9.306004121 - -9.306. What is f rounded to seven dps?
-0.0000041
Let v be 6/(-15) + 28698/(-90)*3. What is v rounded to the nearest ten?
-960
Let g = -10.7 - -0.7. Let c = g + 10.18. Let z = -0.037 - c. Round z to two decimal places.
-0.22
Let n(q) = q**3 - 5*q**2 - 5*q - 1. Let c be n(6). Suppose -198800 = 2*r + c*r. What is r rounded to the nearest 1000?
-28000
Let j(x) = -2*x**2 + 4*x + 4. Let r be j(3). Let u be 5220001/r - (-2 + 7)/(-10). Round u to the nearest one hundred thousand.
-2600000
Suppose -3*q + 29716 = -u - 34577, -4*q + 5*u + 85735 = 0. What is q rounded to the nearest one thousand?
21000
Let l = -8552.9 + 8550.19905. Let z = 2.7 + l. What is z rounded to four decimal places?
-0.001
Let v = -0.079 - -16.779. Let m = -28.4 + v. Round m to zero dps.
-12
Let d be (998925/(-38))/((-6)/(-32)). What is d rounded to the nearest 10000?
-140000
Suppose 17045 = 2*r - d, -9*r + 4*d + 17060 = -7*r. Round r to the nearest 1000.
9000
Let l = 1433.0779 - 1433. Let d = 0.0778599 - l. Round d to six decimal places.
-0.00004
Let w = -956 - -617. Round w to the nearest 10.
-340
Let m = -184.39171 - -184.4. What is m rounded to three dps?
0.008
Let l = 5.54194 - -8.55292. Let j = 0.06086 - l. Let x = 14 + j. Round x to 2 dps.
-0.03
Let k = 6061.7263 + -6061. Round k to two decimal places.
0.73
Let r = 588191267958.690057 + -588191505755. Let m = r + 237761.31. Let j = 35 + m. Round j to 5 dps.
0.00006
Let n = 4265.004 - 4256. Let l = 22 - 13. Let d = n - l. What is d rounded to 2 decimal places?
0
Let c = 2069001 + -1317001. Round c to the nearest ten thousand.
750000
Let z be 0 - 1 - (36/(-6) - -19530005). What is z rounded to the nearest one million?
-20000000
Suppose 9*v = 11*v. Suppose v = 5*h - 3*g - 51, h = -0*h + 3*g + 15. Suppose -3*p - 37923 = 4*w - 1114, 0 = 3*p + h. What is w rounded to the nearest 1000?
-9000
Let m = -1256 - -1255.99237. Round m to 4 decimal places.
-0.0076
Let t = 115 - 45. Let k = -136 + t. Let i = k + 66.066. What is i rounded to two dps?
0.07
Let f = 0.112 + 18.688. Let s = f + -18.7999813. What is s rounded to six dps?
0.000019
Let n = -3450546 + 3450320.9863. Let c = 225 + n. Round c to 3 dps.
-0.014
Let w = -51.311 - -0.511. Let v = w + 49. Round v to 1 decimal place.
-1.8
Let n = -49 - -54.76. Let o = n + -0.01. What is o rounded to one dp?
5.8
Let s = 14 - 11. Let g(v) = -11480*v**3 - 6*v**2 + 2*v + 8. Let o be g(s). What is o rounded to the nearest 100000?
-300000
Suppose -5*l + 9084975 = 5*o, -5*o - 4*l + 2*l + 9084990 = 0. What is o rounded to the nearest one hundred thousand?
1800000
Let g = 166.2 - 182. Let v = g + 15.7999931. Round v to six decimal places.
-0.000007
Let y(c) = c**3 - 8*c**2 + 6*c + 3. Let u be y(7). Let b be 4200000/2 - (u + 0 + 4). What is b rounded to the nearest one hundred thousand?
2100000
Let z = 432 + -432.0158. Round z to three dps.
-0.016
Let p = 1078393 - 1078485.1398. Let c = p - -96.23961. Let x = -4.1 + c. What is x rounded to 4 dps?
-0.0002
Let k = 1.5 + -1.335. Let h = k + -0.1739. What is h rounded to 2 decimal places?
-0.01
Let j(d) = 79*d**2 + 12*d + 20. Let x = 37 + -47. Let k be j(x). What is k rounded to the nearest 1000?
8000
Suppose -i = 2*h + 75227, -5*h + 19942 = -4*i - 281031. Let u = -43037 - i. Round u to the nearest ten thousand.
30000
Let a(o) = 82*o**2 + 8*o + 2. Let y be a(-8). Let h be (y/(-3))/((-18)/(-19737)). Let m = h + 1255483. What is m rounded to the nearest 100000?
-600000
Let c(s) = 1462*s**3 + 25*s**2 + 30*s - 69. Let r be c(23). What is r rounded to the nearest 1000000?
18000000
Let k = 381 - 384.928. What is k rounded to 0 decimal places?
-4
Let d = -147478.9905 + 147518. Let f = 59 - 98. Let o = d + f. What is o rounded to 3 dps?
0.01
Let q = -304.9674 - -305. Let i = 0.5094 + q. What is i rounded to one decimal place?
0.5
Suppose z - 2*j - 11388 - 16212 = 0, -3*j - 82800 = -3*z. Suppose -21*y = -19*y - z. Round y to the nearest ten thousand.
10000
Let b = 30.008 - 0.008. Let w = -29.495 + b. What is w rounded to 1 dp?
0.5
Let p = 92.28348 + 0.12652. Let v = 5.31 - p. Round v to the nearest 10.
-90
Let o(p) = p**3 + 3*p**2 - 7*p - 8. Suppose f = -0*f - 6. Let m be o(f). Let h = -44 - m. Round h to the nearest ten.
30
Let k = -142.4378 - -142.6. What is k rounded to 2 dps?
0.16
Let y = 2454.804 + -2594.5. Let j = 0.304 - y. Let k = 140.071 - j. What is k rounded to two decimal places?
0.07
Let w = 0.033 + -0.030592. What is w rounded to three decimal places?
0.002
Let f = -8429 - -14413. Suppose 7988 = -4*n - 3*c, f = -3*n + c - 5*c. Round n to the nearest ten thousand.
0
Let k = 1615.4 + -1487. What is k rounded to 0 dps?
128
Let k = -7.5 - -0.5. Let y = -1 - k. Let s = -6.00044 + y. Round s to four decimal places.
-0.0004
Let w = 387.9991792 + -388. What is w rounded to four decimal places?
-0.0008
Let z = 1.41654 + -50.39494. Let y = 49 + z. Round y to two dps.
0.02
Let z = 1.694 + -0.204. Let c = z + -1.672. What is c rounded to two dps?
-0.18
Let l = 3624463 + -3624462.0800078. Let y = l + -0.92. What is y rounded to six dps?
-0.000008
Let k = 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
t 0*p**3 - 118 - 5*p**3 + 640*p + 45 + 73 - 40*p**2 = 0. What is p?
-16, 0, 8
Factor 59869*f**2 - 29932*f**2 - 79*f - 29936*f**2.
f*(f - 79)
Factor 70 + 14 + 1543*a**2 - 1560*a - 2951*a**3 + 38*a**2 + 2846*a**3.
-3*(a - 14)*(a - 1)*(35*a - 2)
Factor 14*n**3 + 26*n**3 + 56165*n - 20*n**3 - 19*n**3 - 114242 + 476*n**2.
(n - 2)*(n + 239)**2
Suppose 2*w + 257 = 261. Factor 21*i**4 - i**3 - 15*i**w + 20*i**4 - 11*i**3 - 38*i**4.
3*i**2*(i - 5)*(i + 1)
Let y(u) be the first derivative of -u**7/21 + u**6/5 - u**5/5 + 104*u + 160. Let p(i) be the first derivative of y(i). Find b such that p(b) = 0.
0, 1, 2
Suppose g + 1076 - 780 = 0. Let v = g - -299. Solve 3/7*x**v + 0 + 6/7*x + 9/7*x**2 = 0 for x.
-2, -1, 0
Solve 30 + 3/8*v**3 - 36*v + 45/8*v**2 = 0.
-20, 1, 4
Let k = 4973/2669 + 3/157. Let j be 10/(-35) + (-1866)/(-357) + -4. Factor -j*n + 2/17*n**2 + k.
2*(n - 4)**2/17
Let m(w) be the first derivative of -5/2*w**4 - w**5 + 10/3*w**3 + 52 - 5*w + 5/6*w**6 + 5/2*w**2. Let m(q) = 0. Calculate q.
-1, 1
Let j = -2865 + 36887/13. Let w = j + 6190/221. Factor 8/17 + 2/17*f**2 - w*f.
2*(f - 2)**2/17
Let c(m) be the third derivative of -42*m**2 + 1/12*m**4 + 1/6*m**5 - 5/3*m**3 - 1/60*m**6 + 0 + 0*m. Factor c(z).
-2*(z - 5)*(z - 1)*(z + 1)
Let w(f) be the first derivative of -1/16*f**4 - 3/4*f**2 + 0*f - 5/12*f**3 + 21. Determine n so that w(n) = 0.
-3, -2, 0
Let w(s) be the first derivative of -5*s**4/2 - 6*s**3 + 38*s**2 - 48*s - 1300. Factor w(n).
-2*(n - 1)*(n + 4)*(5*n - 6)
Let w be (-534)/(-2136) - (-25)/140. Let -w*r**2 + 6/7*r + 24/7 = 0. What is r?
-2, 4
Let y = 25/128 - -12967/128. Let m = -100 + y. Suppose 0*u**2 + 0*u - 6*u**3 - 6*u**4 + 0 - m*u**5 = 0. What is u?
-2, 0
Let o = 333230 + -4331988/13. Determine m so that -16/13*m**3 + 10/13 - 32/13*m + o*m**4 + 36/13*m**2 = 0.
1, 5
Let b(a) be the second derivative of a**6/90 + a**5/2 - 51*a**4/4 + 920*a**3/9 - 350*a**2 + 9046*a - 2. Factor b(n).
(n - 5)**2*(n - 2)*(n + 42)/3
Let t(q) = 4*q**3 - 2019*q**2 - 681417*q - 76545500. Let f(v) = -2*v**3 - v**2 + v - 2. Let n(r) = 3*f(r) + t(r). Determine g, given that n(g) = 0.
-337
Let y(f) = f**2 + f - 2. Suppose 0 = -24*h - 18 - 6. Let o(m) = 8*m**4 + 20*m**3 + 16*m**2 + 4*m - 24. Let r(s) = h*o(s) + 12*y(s). Factor r(b).
-4*b*(b + 1)*(b + 2)*(2*b - 1)
Let y(t) be the first derivative of -t**3/9 - 7*t**2/6 + 8*t/3 - 4823. Factor y(d).
-(d - 1)*(d + 8)/3
Factor 0 - 20*q + 1/6*q**3 - 119/6*q**2.
q*(q - 120)*(q + 1)/6
Let j(m) be the first derivative of m**5/5 + 19*m**4/12 + m**3/3 - 19*m**2/6 - 2*m + 880. Let j(v) = 0. What is v?
-6, -1, -1/3, 1
Let k(v) be the first derivative of -v**3/4 - 249*v**2/8 + 255*v/2 - 2971. Factor k(p).
-3*(p - 2)*(p + 85)/4
Suppose 3*v - 3 - 3 = 0. Let b be -4 + (-4)/2 + 17 + 2. Factor -5 + 1 + b + 10*k**2 + 16*k + v*k**3 - 1.
2*(k + 1)*(k + 2)**2
Let -1/5*h**2 - 21/5 + 22/5*h = 0. Calculate h.
1, 21
Let -8787*q**3 - 5126*q**2 + 888*q - 960*q**2 - 1200*q**5 + 725*q**2 + 30360*q**4 + 300 = 0. Calculate q.
-1/4, 2/5, 25
Let u(v) be the third derivative of 0*v + 0 - 1/150*v**5 + 1/1680*v**8 + 0*v**3 - 1/120*v**4 + 1/525*v**7 + 98*v**2 + 0*v**6. What is b in u(b) = 0?
-1, 0, 1
Let r(v) be the second derivative of 0 - 134*v + 18/5*v**3 + 1/25*v**5 + v**4 + 26/5*v**2. Suppose r(o) = 0. What is o?
-13, -1
Let j(x) be the second derivative of -x**4/36 - 151*x**3/18 - 25*x**2 + 787*x. Factor j(z).
-(z + 1)*(z + 150)/3
Suppose -56/13 - 32/13*c**3 + 54/13*c**2 + 2/13*c**4 + 32/13*c = 0. Calculate c.
-1, 1, 2, 14
Let v(h) be the first derivative of -h**6/33 + 8*h**5/11 + 4*h**4/11 - 320*h**3/33 - 16*h**2/11 + 640*h/11 - 2349. Solve v(q) = 0 for q.
-2, 2, 20
Let s(z) be the second derivative of -2*z**6/135 - 11*z**5/9 + 19*z**4/3 - 346*z**3/27 + 116*z**2/9 - 344*z. Determine b, given that s(b) = 0.
-58, 1
Let o(c) be the second derivative of -2*c**7/21 + 34*c**6/9 - 757*c**5/15 + 641*c**4/3 + 3872*c**3/9 - 1664*c**2/3 - 81*c - 1. Suppose o(j) = 0. What is j?
-1, 1/3, 8, 13
Let b(k) be the second derivative of -85/42*k**7 + 0*k**4 + k**5 + 0*k**2 - 16/3*k**6 + 23*k + 3 + 0*k**3. Factor b(f).
-5*f**3*(f + 2)*(17*f - 2)
Let b be (-88)/((-5)/((-5)/(-2))). Suppose 29*j = 102 - b. Solve 1/2*y**4 + 3/2*y**3 + 0*y + 0 + 0*y**j = 0.
-3, 0
Let g(z) be the second derivative of z**5/10 - 30*z**4 + 119*z**3 - 178*z**2 + 2*z + 15. Factor g(a).
2*(a - 178)*(a - 1)**2
Suppose 3*c + 5*r + 15 = -2*c, -c + 2*r + 12 = 0. Suppose s + 2 = c*z + 2*s, -5*z = -2*s + 4. Factor 4/5*d**4 - 1/5*d**5 + z*d**2 + 0*d - 4/5*d**3 + 0.
-d**3*(d - 2)**2/5
Let z(l) be the second derivative of 5*l**7/126 + 98*l**6/9 + 3135*l**5/4 - 5445*l**4/2 + 1056*l. Find d such that z(d) = 0.
-99, 0, 2
Suppose 27 = 4*s - 3*s + 5*h, 0 = 3*s - 5*h + 19. Let l = 14674 + -14670. Factor -2 - n**l - n + 1/4*n**5 + 5/2*n**s + 1/4*n**3.
(n - 2)**3*(n + 1)**2/4
Let -1812/5*h + 91204/5 + 9/5*h**2 = 0. Calculate h.
302/3
Suppose -4*g = 3*r - 92, -3*r = -r + 3*g - 63. Factor 5 + 849*n**4 + r*n**3 + 10 - 846*n**4 + 48*n + 54*n**2.
3*(n + 1)**3*(n + 5)
Find f, given that 660*f - 93*f**2 + 5*f**5 - 400 + 110*f**2 + 30*f**4 - 215*f**3 - 97*f**2 = 0.
-10, -2, 1, 4
Suppose -8*n = -12 - 28. Suppose 2*q = -4*o + 40, 4*q - 3*o = -n*o + 104. Factor -q*j**2 + 134*j + 68*j - 26*j - 48.
-4*(j - 6)*(7*j - 2)
Let k(r) be the first derivative of 4*r**5/5 + 2*r**4 - 76*r**3/3 - 40*r**2 + 2344. Find y, given that k(y) = 0.
-5, -1, 0, 4
Let j(f) be the second derivative of -f**7/2940 - f**6/252 + 13*f**5/420 - f**4/12 - 67*f**3/6 + 63*f. Let y(h) be the second derivative of j(h). Factor y(i).
-2*(i - 1)**2*(i + 7)/7
Let v = -49335/14 + 3524. Let c(z) be the first derivative of 0*z + 15 - 2/35*z**5 + 2/21*z**3 + v*z**4 - 1/7*z**2. Suppose c(y) = 0. What is y?
-1, 0, 1
Let v = -2914 + 2919. Let o(a) be the third derivative of -1/24*a**4 + 7*a**2 + 0*a - 11/120*a**v + 0*a**3 + 0. Find b such that o(b) = 0.
-2/11, 0
Let b(x) be the first derivative of 87*x**5/25 - 9*x**4 + 4*x**3/5 + 1171. Factor b(s).
3*s**2*(s - 2)*(29*s - 2)/5
Let l(i) = 5*i**2 - 11*i - 4. Let x(d) = 6*d**2 - 10*d - 5. Let k be (-5 - (5 + -16))*2/3. Let b(y) = k*x(y) - 5*l(y). Determine h, given that b(h) = 0.
0, 15
Let m(x) be the third derivative of -x**5/15 - 9*x**4/2 + 116*x**3/3 + x**2 - 31*x - 5. Suppose m(y) = 0. Calculate y.
-29, 2
Let b(m) be the second derivative of m**7/378 - 17*m**5/180 - m**4/3 - 10*m**3/27 + 8515*m. Factor b(z).
z*(z - 5)*(z + 1)*(z + 2)**2/9
Let w(o) = 8*o**2 + 4360*o + 950453. Let i(x) = -25*x**2 - 13080*x - 2851350. Let t(y) = 3*i(y) + 10*w(y). Factor t(c).
5*(c + 436)**2
Let f = 145/138 + -38/69. Let a(r) be the first derivative of 21 + f*r**3 + 0*r + 3/4*r**4 - 3/10*r**5 - 3/2*r**2. Factor a(b).
-3*b*(b - 2)*(b - 1)*(b + 1)/2
Let j(z) be the second derivative of -5/3*z**3 + 0 + 166*z + 1/36*z**4 + 29/6*z**2. What is o in j(o) = 0?
1, 29
Let b = 3659 + -376871/103. Let y = 176/515 + b. Factor -2/5*k**2 + 0*k + y*k**3 + 0.
2*k**2*(k - 1)/5
Suppose -5*l + 4*x + 24 = 2*x, -12 = -l + 4*x. Factor 4*z**5 + 2*z + 3 - 10*z**4 + 5*z**3 + 12*z**l - 19*z**3 - 14*z**2 + 1.
2*(z - 2)*(z + 1)**3*(2*z - 1)
Let d(h) be the second derivative of -2*h - 2/15*h**4 - 24 + 1/50*h**5 - 7/15*h**3 + 2*h**2. Find s such that d(s) = 0.
-2, 1, 5
Let c(z) be the third derivative of -z**9/30240 - z**8/720 - z**5/30 - 68*z**3/3 - 9*z**2. Let p(a) be the third derivative of c(a). Factor p(w).
-2*w**2*(w + 14)
Let f(w) be the first derivative of -w**6/12 + 8*w**5/5 + 17*w**4/8 - 286. Determine i, given that f(i) = 0.
-1, 0, 17
Find z such that 20*z**3 - 166*z**2 - 80*z + 516*z**2 + 4*z**4 - 172*z**2 - 96 - 170*z**2 = 0.
-3, -2, 2
Let s = -88 + 88. Suppose s = -3*b - 4*f + 1204, 8*f = 3*f - 10. Solve 440*g - b*g - 146 + 38 - 3*g**2 = 0.
6
Suppose 2*s + 9*k = 10*k + 2, -s = -2*k + 2. Solve -10*y**2 + 7*y**2 + y - 18 + 12*y + s*y = 0.
2, 3
Let i(x) be the third derivative of x**5/150 + 488*x**4/15 + 952576*x**3/15 - 4532*x**2. Factor i(a).
2*(a + 976)**2/5
Let s(n) = 7*n**2 + 31*n + 1. Let c(g) = g**2 + 5*g. Let l(v) = v**2 + v + 206. Let w be l(0). Suppose 5*q + 11 = w. Let b(p) = q*c(p) - 6*s(p). Factor b(y).
-3*(y - 2)*(y - 1)
Let s(o) be the third derivative of 0 + 1/3*o**4 - 1/30*o**6 + 1/105*o**7 + 0*o + 19*o**2 + 4/3*o**3 - 1/10*o**5. Fact
|
{
"pile_set_name": "DM Mathematics"
}
|
n multiple of (-1 - 0)/(m/(-3)) and 9.
9
Suppose 4*f - 3*o - 126 = 0, 3*o + 156 = -0*f + 5*f. Calculate the common denominator of 564/(-45) - 4/f and 56/3.
3
Let z = -25 - -174/7. Let s = 15/56 + z. Let f = 2087 + -18755/9. Find the common denominator of f and s.
72
Let w = -52 + 76. Suppose w = -4*z - 108. Let h = z - -49. What is the lowest common multiple of 4 and h?
16
Find the common denominator of (48/(-18))/(-4) - 597/45 and -1/11.
55
Suppose -2*h = k - 3*h - 6, -2 = 2*h. Suppose -2*i = -4*t + 26, 17 = 2*t - 0*i - k*i. What is the lowest common multiple of t and 2?
6
What is the common denominator of 87/10 and 2/(-8) + 170/60?
60
Let j be (-28)/21*6/(-4). Suppose -4*n + j*n + 16 = 0. Let w(c) = c + 1. What is the lowest common multiple of w(3) and n?
8
Suppose 4*u - 51 = u. Let x = u + -1. What is the smallest common multiple of x and (-1)/4 + (-57)/(-4)?
112
Suppose 0 = -s - 3*s. Suppose -n + 3*n - 22 = s. Calculate the smallest common multiple of n and 11.
11
Suppose -2*d + 9 = -3*p + d, 1 = -3*p - d. Let k = -26 + 13. What is the common denominator of k and 1 + p + (-59)/5?
5
Let i = 3165776/10265 + -10/2053. Let a = 9077/30 - i. What is the common denominator of -93/8 and a?
24
Find the common denominator of 85/4 and (5 - 1) + (18585/308)/(-15).
44
Calculate the least common multiple of 3 + 10 - (-4 + -1) and 36.
36
Let h(t) = -93*t**2 + t + 3. Let j be h(-2). Let w be 1238*(-3)/10 + -1. Let i = j - w. Calculate the common denominator of i and -69/8.
40
Let g = -21448 - -1801721/84. What is the common denominator of g and -119/12?
84
Let u = -282010 + 3950053/14. Let x = u - 680/7. Let m = -2306 - -23037/10. Find the common denominator of m and x.
10
Let n be (0 + -1 + 2)*3. Suppose -2*l - 4*h = -16, h + 31 = n*l + 7. Let v = -13 + 23. Calculate the least common multiple of v and l.
40
Let i = -18073931981/720 + 25102677. Let p = -1/144 - i. Find the common denominator of -101/4 and p.
20
Let l = 155 - 73. Calculate the lowest common multiple of 2 and l/4 - (-6)/4.
22
Let a(v) = -9*v**3 + 2*v + 1. What is the smallest common multiple of 26 and a(-1)?
104
Let p = 667/310 - 1/620. What is the common denominator of p and 70/48*(-22)/(-5)?
60
Let v = 53 + -46. Suppose 7 = 5*m - 8. Suppose o + 1 = m. Calculate the smallest common multiple of v and o.
14
Let a = -51961/8 - -6486. Find the common denominator of 35/4 and a.
8
Let s = -1913/368 - -144/23. What is the common denominator of s and 13/20?
80
Find the common denominator of -1 and 1/7 + (-970)/665.
19
Calculate the lowest common multiple of (-36)/(-3) - (1 + 0) and 11.
11
Let w = 2135052 + -29963989/14. Let v = w + 5228. Find the common denominator of v and 43/6.
42
Let c(j) = -213*j**2 - 3*j + 5. Let v be c(-5). Let u = v - -116783/22. Let q = 130203/22 + -5923. Find the common denominator of u and q.
22
Find the common denominator of (-159)/(-756) + -1 + (-3)/(-12) and 65/6.
126
Let l be 0/((-1 - 1) + 1). Let m(d) = d + 22. Let v(c) = 4*c. Calculate the least common multiple of m(l) and v(3).
132
Let t(r) be the first derivative of r**4/4 - r**3/2 - r**2 - 1. Let j(k) be the second derivative of t(k). What is the smallest common multiple of 1 and j(2)?
9
Suppose -3 = 4*g - 11. Suppose u - 24 = -2*r, -5*r + r - 5*u + 48 = 0. Calculate the least common multiple of g and r.
12
Let i = 3955/4 - 1002. Find the common denominator of i and (-125)/12 + 2/8.
12
Let a(c) = 7*c**3 + 3*c**2 + 3*c + 3. Let j be a(-2). Let h = j + 69. What is the lowest common multiple of 22 and h?
22
Let x(i) = -2*i + 12. What is the lowest common multiple of 24 and x(-5)?
264
Let w(z) = z**2 - 4*z + 3. Let n be w(3). Suppose -3*u + 27 = -n*u. Suppose u = r + 3*d, 2*r - 10 = d + 1. Calculate the lowest common multiple of r and 6.
6
Let u be (327/6)/(3/(-6)). Let x = u + 51. Let f = -31 - x. What is the common denominator of f and 13/9?
9
Let z(h) = 18*h - 1. Let m be z(1). Suppose 4*k = 23 + m. Let r = -9 - -25. What is the lowest common multiple of k and r?
80
Suppose -2*a = t - 30, 6*a = -3*t + 2*a + 100. Suppose 0 = -3*p - 2*p - 3*i + t, p + i = 8. Calculate the smallest common multiple of 8 and p.
8
Let g be 190879/(-16938) - 15/(0 + -5). Let h be (2 - 0)/(3764/(-16)). Let i = h + g. Find the common denominator of -145/6 and i.
18
Suppose 4 + 11 = 5*q. Let a(z) = -z**3 + 3*z**2 + 1. Let p be a(q). Let w = 0 + p. Calculate the lowest common multiple of 9 and w.
9
Let v(g) be the first derivative of g**3/3 + 2*g**2 - g + 4. Calculate the lowest common multiple of 4 and v(-5).
4
Let w(t) = -5*t + 3. What is the lowest common multiple of 30 and w(-6)?
330
Let s = 7305 + -175379/24. Calculate the common denominator of s and 35/24.
24
Find the common denominator of -1 + -2 + (-485)/(-50) and -97/12.
60
Suppose 2*w - 696 - 6 = 0. Let p = w - 572. Let r = p + 1439/6. Calculate the common denominator of -97/8 and r.
24
Let y(b) = 2*b. Suppose 0 = -2*v - 5*s + 35, -4*s - s + 25 = 0. What is the lowest common multiple of y(v) and 20?
20
Let z(j) = 19*j - 3*j - j + j. Suppose n = 3*n - 8, -5*n = -y - 19. Calculate the least common multiple of z(y) and 2.
16
Let d = 21745/6 + -3612. Find the common denominator of 123/10 and d.
30
Let v = 11364/13 + -5704/65. Let q = v + -789. Calculate the common denominator of q and -53/5.
5
Let i = 111/17 + -531/136. Let h(w) = -w**3 - 14*w**2 + 18*w + 21. Let b be h(-15). What is the common denominator of (-6)/(-8) - (-104)/b and i?
24
Let p be 0 - 0 - (-6248)/(-6). Let t be (599/(-8))/((-2)/(-28)). Let a = p - t. Calculate the common denominator of a and -103/14.
84
Let b = 22/179 - 8545/1074. Find the common denominator of 25/2 and b.
6
Let m be (6/4)/(18/48). Find the common denominator of 55/8 and (2/(6/141))/m.
8
Suppose 0 = 19*p - 15*p - 80. What is the lowest common multiple of 10 and p?
20
Let d = 3894 + -77861/20. Let u = -2/1695 - 28799/13560. What is the common denominator of d and u?
40
What is the common denominator of -151/6 and 553/168*8/(-6)?
18
Let f be (-8531)/55198 - 6/(-39). Let i = f + 99811/42460. Calculate the common denominator of 3/20 and i.
20
Let k = -3 + 0. What is the lowest common multiple of 16 and ((-75)/9 - -1)*k?
176
Suppose 3 = 5*d - 2. Suppose -u = d - 3. Suppose -u*k - 6 = -5*k. Calculate the lowest common multiple of 5 and k.
10
Let c = -14 + 34. Calculate the smallest common multiple of c and 13 - 1 - (-1 - -1).
60
Suppose -5*t - r - 3905 - 32420 = 0, -2*t + 4*r - 14552 = 0. Suppose 15 = 2*s - 13. What is the common denominator of -71/4 and 4/s*t/360?
60
Suppose -6 = -4*p - 30. Let n = 2 - p. What is the lowest common multiple of n and 6?
24
Suppose -7*v = -2*v - 300. Find the common denominator of (2/(-12))/(2/(-74)) and 14/v*54/4.
60
Let l = -65691/16 - -4104. Calculate the common denominator of l and -97/18.
144
Let i(d) be the first derivative of d**3 - d**2 - d + 1. Let o be i(2). Calculate the common denominator of 35/8 and ((-1)/3)/(o/(-33)).
56
Suppose 3*r = -3*k + 7*r + 36, -3*k - r + 51 = 0. What is the lowest common multiple of (-15)/(-2)*k/12 and 8?
40
Let d(m) = 2*m - 7. Let n be d(5). Suppose 0*p = -n*p + 12. Calculate the common denominator of -89/16 and (-25)/p*2/35.
112
Suppose 0 = -p + 2*a, 8*p = 3*p - 4*a. Let o be (-2 + -14 - p)*-4. Suppose o = 5*r + 14. Calculate the least common multiple of 8 and r.
40
Let g(k) = -k**3 - 3*k**2 + 3*k - 3. Suppose 0 = 2*w - 4*x - 22, -5*w = -3*x - 24 - 3. Calculate the least common multiple of g(-4) and w.
3
Let h(u) = -u**2 - 5*u + 2. Let r be h(-6). Let g(l) = -2*l**3 - 4*l**2 + 2*l + 4. Let z be g(r). What is the lowest common multiple of 2 and z/(-9)*(-3)/1?
20
Suppose 0 = -t - 0 - 22. Let g = -20 - t. Calculate the lowest common multiple of 5 and g.
10
Let v be -1*7*(-3215)/225. Let g = -474/5 + v. What is the common denominator of -79/8 and g?
72
Let c = 35/9 + -143/63. Calculate the common denominator of -18/5 and c.
105
Let h = -101605/18 - -5637. Calculate the common denominator of -125/12 and h.
36
Suppose 6*b - 10*b = -28. Suppose 0 = -6*a + a + 30. Calculate the lowest common multiple of a and b.
42
Suppose -g = 2*g. Let k be g - (2535/(-4))/3. Let p = k - 217. What is the common denominator of p and -62/5?
20
Let m be (-8 - -1)/(170/3467). Let g = -2262/17 - m. Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
of 9?
False
Suppose -4*y + 359 = -173. Suppose -4*q - 457 = -y. Is 9 a factor of ((-1)/(-3))/((-3)/q)?
True
Suppose 0*s + 3*s - 7 = -4*x, 5*s + 27 = 3*x. Is 5 a factor of 5/((-10)/s + -3)?
True
Let w(h) = h**3 - 5*h**2 - 3. Let r(p) = -p**3 - 8*p**2 - 9*p - 9. Let n be r(-7). Let b be w(n). Let m(k) = -14*k - 4. Does 12 divide m(b)?
False
Is (5*(-3)/(-12))/((-2)/(-48)) a multiple of 6?
True
Suppose 4*y - 6 = 6*y. Let d(v) = -12*v. Is d(y) a multiple of 14?
False
Suppose -5*l + 3*l = 4, -4*n + 5*l + 26 = 0. Suppose -d + n*d = 0. Suppose 3*h = 0, -5*m - h - 23 + 153 = d. Does 13 divide m?
True
Suppose 0 = 7*f - 112. Is 16 a factor of f?
True
Suppose 5*y = 5*j + 10, y + 1 = 2*j + 3. Suppose 118 = y*n + 5*u, n = 5*n - u - 236. Is n a multiple of 22?
False
Let l be (-2)/((-5)/(310/(-4))). Let a = -19 - l. Let s = 22 - a. Is s a multiple of 6?
False
Suppose 3*b - 12 = -5*k + 2*k, 2*b = -5*k + 14. Suppose 4*j = k*j. Is j*(-1)/(-2) - -16 a multiple of 6?
False
Let l(v) = v**3 - v - 97. Let b be l(0). Let m = -34 - b. Suppose 2*r - m = -r. Does 10 divide r?
False
Suppose -r + 5 + 2 = 0. Let c(m) = m**2 - m + 29. Let l be c(0). Suppose 0*x + r = x - q, -q + l = 2*x. Does 12 divide x?
True
Let m(h) be the first derivative of -2*h**2 - 6*h + 1. Suppose b + 3*p + 28 = -3*b, 0 = 5*b + p + 24. Is m(b) a multiple of 7?
False
Let x(n) be the second derivative of n**4/12 - 7*n**3/6 + 5*n**2/2 + 2*n. Let b be x(7). Suppose b*t + 45 = 235. Is 13 a factor of t?
False
Let n(o) = -3*o**2 - 3*o + 3. Let j be n(-3). Let d(y) = y**3 + 14*y**2 - 18*y - 16. Is d(j) a multiple of 8?
False
Let t = 4 + -33. Let n = -35 + t. Let b = 119 + n. Does 26 divide b?
False
Let t = 7 - 6. Let s = 26 - t. Is s a multiple of 11?
False
Let j = -230 - -385. Does 32 divide j?
False
Let k(h) be the first derivative of -h**4/4 + 7*h**3/3 + 5*h**2 + 8*h + 4. Does 12 divide k(8)?
True
Let c = -9 - -13. Suppose o - 1 = c. Let l(i) = 2*i. Is 6 a factor of l(o)?
False
Let u(n) = 2*n - 1. Let s be u(5). Let c = s + -4. Suppose -2*z + b + 57 = 2*z, c*z - 2*b = 75. Is z a multiple of 9?
False
Let z(v) = -7*v - 5. Suppose 2*u = 2 - 6. Is z(u) a multiple of 3?
True
Suppose 0*p = -2*p. Let l be 9 + (p + 1 - 4). Suppose u = l*z - 2*z - 109, -51 = -2*z - 3*u. Is z a multiple of 12?
False
Suppose 0 = 5*l - 4*l - 3. Suppose -2*h + 75 = l*h. Is h a multiple of 15?
True
Let n = -21 - -22. Does 8 divide (-11 + 7)/(n/(-2))?
True
Suppose 2 + 1 = v. Suppose v*d + 56 = n, 4*n + 2*d = -2*d + 224. Is 14 a factor of n?
True
Suppose 5*a + 5*h = 2*h + 472, -4*a - 5*h + 388 = 0. Is 23 a factor of a?
True
Let g = -92 + 200. Is g a multiple of 8?
False
Let r(p) = p**2 + 3*p + 6. Let m be r(-4). Suppose i - m = 6*i. Let o = 9 + i. Is o a multiple of 6?
False
Suppose 3*x = -x + 192. Is x a multiple of 12?
True
Let y(o) = -2*o**2 + 2*o - 4. Let d be y(-5). Let v be (d/10)/(2/(-10)). Suppose 2*j - 30 = v. Is j a multiple of 12?
False
Let s(j) be the second derivative of 4*j**3/3 - 3*j**2/2 - 2*j. Let d be s(2). Suppose 0 = 4*l - 5*u - 28, -3*l = -2*u + d - 41. Does 11 divide l?
False
Let x be ((-132)/55)/((-2)/5). Suppose x*c = 3*c + 24. Does 3 divide c?
False
Let t(d) = d**2 + 5*d + 6. Let u(q) = -2*q + 3. Let h be u(4). Let a be t(h). Does 15 divide (-591)/(-18) + 1/a?
False
Let j(f) = 5*f. Let i be j(1). Suppose -i*h + 282 - 97 = 0. Is 15 a factor of h?
False
Let y(t) = t**2 - 4*t - 6. Let k be y(5). Let u be ((-2)/(-4) + k)*6. Is 6 a factor of (-14)/(-2) - 3/u?
False
Suppose 12*m = 17*m - 190. Is 5 a factor of m?
False
Let p(i) = -i**3 - 11*i**2 - 2*i - 14. Let w be p(-11). Does 5 divide (-27)/(-5) - w/20?
True
Suppose -12 + 39 = 3*o. Let d(i) = 2*i - 13. Let s be d(o). Suppose s*l - 16 = 109. Is 16 a factor of l?
False
Let x(z) = -31*z + 2. Is x(-3) a multiple of 6?
False
Suppose -b + 35 = -6*b. Let i(s) = s**2 + 8*s + 10. Let t be i(b). Suppose -t*j + 123 = -0*j. Does 15 divide j?
False
Let u be 4 + -3*(-20)/(-12). Is ((-8)/16)/(u/64) a multiple of 8?
True
Let u be -2*(0 + (-10)/4). Suppose 0 = -2*p + u*p - 129. Suppose -3*d + 10 = o - 9, -5*d = -4*o - p. Is d a multiple of 7?
True
Suppose -52 = -l + 2*f, 4*f = -4 - 4. Suppose -4*d = 4*c - l, 5*d + c = 4*c + 76. Let s = d + 5. Is s a multiple of 19?
True
Let f(g) = -2*g**3 - 5*g**2 + 4*g + 6. Is 19 a factor of f(-4)?
True
Let j = 3 - 5. Let w be -2*(1 + j) + 29. Let c = w - 21. Does 5 divide c?
True
Is 10/(-5)*(-183)/6 a multiple of 11?
False
Suppose 0 = h - 2*w - 72, 62 = h - 5*w - 10. Is 13 a factor of h?
False
Suppose -3*p + 63 = -3*v, -5*p + 127 - 12 = 5*v. Let t(m) = m**2 + 6. Let d be t(-7). Does 6 divide 4/p + 320/d?
True
Suppose 0 = -2*n + n + 3. Suppose -12 = -5*u + n*u. Is 3 a factor of u?
True
Let w(n) = -2*n - 9. Let g be w(-6). Suppose -g*t = -10 + 4. Suppose -t*a + 10 = -0*a. Is 5 a factor of a?
True
Suppose z - 5*z = 4*a, -a = 2*z. Suppose s + 16 = w + 2, -w - 2*s - 1 = z. Is w a multiple of 4?
False
Is (-156)/8*4/(-3) a multiple of 13?
True
Let q(d) = 2*d**2 - 7*d - 2. Let p be q(5). Let j = p + -6. Does 7 divide j?
True
Suppose s + 4*s = 320. Let i = 129 - s. Does 16 divide i?
False
Let y(s) = -s**3 + 3*s**2 + s + 1. Let c be y(3). Let z = c + -2. Suppose 27 = z*g + 7. Is 10 a factor of g?
True
Let l = -3 + -2. Is 19 a factor of (-110)/l - (1 - -2)?
True
Let k(o) = 3*o**2 + 6*o - 3. Does 16 divide k(6)?
False
Let r(v) = v**3 - v**2 + 9. Let k be r(0). Suppose -f - 6 = -k. Suppose 0*z = f*z - 51. Is z a multiple of 10?
False
Is (-265)/(-4) + 3/(-12) a multiple of 18?
False
Let y(v) = -v**3 + 8*v**2 - 2*v + 2. Let m be y(7). Let t(o) = -o**2 - o - 15. Let z be t(0). Let u = z + m. Is u a multiple of 11?
True
Let u(x) = -x**2 - 11*x - 12. Let r be u(-9). Does 16 divide 47 - (-3)/r*2?
True
Let q(f) = -f**2 - 8*f - 6. Let d be q(-4). Let g(s) = s + 2. Is g(d) a multiple of 9?
False
Suppose a - 6 = -2*a. Suppose d - 75 = -2*f - a*d, 12 = 4*d. Does 19 divide f?
False
Let z = 119 + -25. Does 5 divide z?
False
Suppose -4*n - 21 = -4*x - 137, 0 = -3*n - 4*x + 52. Is 4 a factor of n?
True
Let f(n) = -n + 36. Let p = -10 - -10. Does 18 divide f(p)?
True
Let c be (28/(-8)*2)/(-1). Let u = c + 24. Is u a multiple of 11?
False
Let h = 37 - 22. Is 13 a factor of h?
False
Let p(r) = r**2 + 5*r - 7. Let n be p(-6). Let c be (-1 - n)/3 + -1. Is 16 a factor of (c - (-58)/(-6))*-3?
True
Let m = 2 + 0. Suppose -v - m*v = -162. Is 19 a factor of v?
False
Suppose 320 = 2*y + 4*h, -y + 5*h + 311 = y. Suppose 3*c = -5*v + 101, -4*c - 2*v + y = -0*v. Is c a multiple of 14?
True
Let l = -15 + 3. Let v = 26 + l. Is 14 a factor of v?
True
Suppose -3*x = -5*r + 95, 4*r + 5*x - 35 = 78. Is r a multiple of 10?
False
Suppose -4*j + 145 = -147. Suppose 323 = -4*a - j. Does 11 divide 4*(a/(-6))/3?
True
Let l = 133 - 41. Does 23 divide l?
True
Let k(s) = 95*s**3 + s**2 - 4*s + 2. Is 13 a factor of k(1)?
False
Let w be -2 - (-6)/(1 + 2). Suppose c + w*c + 94 = 0. Let k = -58 - c. Is k a multiple of 10?
False
Suppose 1933 - 741 = 8*t. Is 34 a factor of t?
False
Let s = 11 - 15. Let y = 7 + s. Let b(m) = 3*m + 4. Is 10 a factor of b(y)?
False
Suppose 2*m - 2*o = 8, 4*m = o + 7 + 6. Suppose m*l - 6 - 3 = 0. Suppose l*p + p - 40 = 0. Is 4 a factor of p?
False
Let p = -34 + 67. Is 28 a factor of p?
False
Let w = -8 + 11. Suppose 3*r - 2*r = -4, 0 = -w*k - 3*r + 6. Let u(p) = 5*p - 5. Does 12 divide u(k)?
False
Let k be (-3)/(-12) + 206/8. Let t = -11 + k. Suppose 2*p = t - 3. Is p a multiple of 6?
True
Let j(p) = -p**2 + 12*p - 9. Let x be j(6). Suppose -4 = -0*i - 2*i. Let z = x - i. Is 13 a factor of z?
False
Let b be (4/6)/((-2)/(-3)). Let h be -3 + b - (-24)/4. Suppose -36 = h*y - 192. Does 14 divide y?
False
Suppose 4*k + 2*z = 212, -2*z + 279 = 5*k - 3*z. Suppose -3*w - 4*d = -269, 5*d - 31 = 2*w - 218. Let t = w - k. Does 12 divide t?
True
Let j(t) = 4*t**2 + 3*t - 5. Let s(k) = -k**2 + 1. Let v(h) = -j(h) - 5*s(h). Is v(5) a multiple of 5?
True
Does 21 divide ((-2)/(-3))/(4/378)?
True
Let f = -9 - -12. Let i(h) = -h**2 + 5*h - 2. Let v be i(f). Suppose 2*t = v*t - 28. Does 7 divide t?
True
Let z(f) = 41*f + 8. Is 18 a factor of z(2)?
True
Let z(y) = -y**2 + 8*y. Let g be z(8). Suppose -3*l + g*l + 108 = 0. Is l a multiple of 15?
False
Let n = 10 + -6. Let s be (2 + -1)*3*n. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + -0.346. Round m to seven dps.
0.0000001
Let o = -31292.819 + 31316. Let r = 23 - o. What is r rounded to 2 dps?
-0.18
Let v = -38.944 - 0.056. Let p = v + 39.0128. What is p rounded to 3 decimal places?
0.013
Let i(v) = -v**2 - v - 2535. Let g be i(0). Let f be g/(-6)*7/(14/(-24)). Round f to the nearest 1000.
-5000
Let b(r) = 101243*r + 9. Let u be b(11). Let g = 533682 - u. Round g to the nearest 100000.
-600000
Let x = 4.041 - 4. Let r = 30.041 - x. Let q = r + -29.99951. What is q rounded to four dps?
0.0005
Let f = -1.93 + 2. Let z = f + 0.23. Let o = 1.1 - z. What is o rounded to one dp?
0.8
Let v = 315.5 + -326. Round v to the nearest integer.
-11
Let x(j) = -162*j**3 + j**2 + 7*j - 3. Let g be x(-6). Suppose 0*b - 50 = -10*b. Suppose -b*y - g - 32017 = 0. What is y rounded to the nearest one thousand?
-13000
Let y be (-82623)/2*(-13420)/33. Suppose -v = -3*v - 2*n + 33599996, v - y = 5*n. What is v rounded to the nearest 1000000?
17000000
Suppose 0*j + 4*j - 8 = 0. Suppose j*t + 0*t - 4260 = 0. What is t rounded to the nearest 100?
2100
Let v = -120.00626 + 1253.73286. Let q = 1120.72 - v. Let h = -13 - q. Round h to 3 decimal places.
0.007
Let i be (2 - 1)/(22/308). Let f(y) = 24*y + y**3 - 11*y - i + 15*y**2 - 4*y**3 + 2*y**3. Let q be f(16). What is q rounded to the nearest 10?
-60
Let h = -14961.999991283 + 14962. What is h rounded to 7 decimal places?
0.0000087
Let l = -95.6 + 8.6. Let m = 24.5 + -96.1. Let i = l - m. What is i rounded to 0 decimal places?
-15
Let x = -8.61754 - -8.6. Round x to 3 decimal places.
-0.018
Let y = 68.6 - 65. Let i = 3.6000313 - y. Round i to six decimal places.
0.000031
Suppose 9 - 24 = -5*g. Let c(s) = -s - 1. Let o(m) = -71994*m + 2. Let j(r) = -5*c(r) - o(r). Let f be j(g). What is f rounded to the nearest 10000?
220000
Let i = -3687911 + 17287911. What is i rounded to the nearest 1000000?
14000000
Suppose 56072 = -7*t + 11*t - 2*u, -5*u - 42040 = -3*t. Round t to the nearest one thousand.
14000
Let p = 6 + -3. Let u be p/(-2)*(5 + -7). Suppose 0 = -u*d + 1156 + 884. What is d rounded to the nearest 100?
700
Let k(f) be the first derivative of -3473*f**2/2 - 11*f - 14. Let w be k(-7). Suppose -w = -8*n + 5*n. What is n rounded to the nearest 1000?
8000
Let u = -0.034 - -0.0915. Round u to 3 decimal places.
0.058
Let l = 1260.986825 - 1261. Round l to 3 dps.
-0.013
Let h = 12968.251 + -12976. Round h to zero dps.
-8
Let g = 272420713650.000000529 - 272420713461. Let f = g - 189. What is f rounded to 7 decimal places?
0.0000005
Let o = -203.52903 + 203.5. What is o rounded to 3 dps?
-0.029
Let g = 349 + -348.454. Let o = g + -0.006. Round o to one dp.
0.5
Let q = 3164.35 + -499698.35. Let h = q - -496522.60061. Let b = h - -11.4. What is b rounded to 4 dps?
0.0006
Let q = -7.100123 + 7.1. What is q rounded to 5 decimal places?
-0.00012
Let u = 20773099 + 11326901. Suppose 0 = -6*w + 9*w - u. What is w rounded to the nearest one million?
11000000
Let d(m) = 2*m + 13. Let w be d(-5). Let b = 152 - 6. Suppose 5*k = p + b, -88 = -w*k - p + 6. What is k rounded to the nearest 10?
30
Let i = 644582.730949 - -56587944.269097. Let n = 57232474 - i. Let o = 53 + n. What is o rounded to 5 dps?
-0.00005
Let g = 511 - 511.00326. Round g to three decimal places.
-0.003
Let l = -0.722 + 0.72198555. What is l rounded to 6 decimal places?
-0.000014
Let l = -0.49 - 19.01. Let i = l + 19.4903. What is i rounded to 3 dps?
-0.01
Let k = 13 + -13.8. Let y = 0.5 + k. Let d = y - -0.30000034. What is d rounded to 7 dps?
0.0000003
Let h(j) = -j. Let d(a) = -19688*a**2 - 10*a - 4. Let g(u) = -2*d(u) + 14*h(u). Let w be g(-4). What is w rounded to the nearest one hundred thousand?
600000
Let z = 0.7247 - 166.9387. Let y = z - -0.214. Let q = 166.00077 + y. Round q to 4 dps.
0.0008
Let h = -3.1 - -2.578. Let x = -0.052 - h. Let t = -0.24 + x. What is t rounded to one decimal place?
0.2
Let w = 0.88 + -1.223. Round w to two decimal places.
-0.34
Let y be 1*(-4)/(-8)*10. Suppose y*q - 902542 = 657458. What is q rounded to the nearest ten thousand?
310000
Let j = 0.55 - -0.1. Let u = -0.05 + j. Let r = u + -0.59985. Round r to 4 dps.
0.0002
Let h be (-18)/(-3)*(4705 + -2). Let k = 60782 + h. Round k to the nearest ten thousand.
90000
Let p = 7549.08387 - 7549. What is p rounded to 2 dps?
0.08
Let y(t) = -3*t**2 + 14*t - 1. Let z be y(8). Let v be z*4/(-24)*280000/(-2). What is v rounded to the nearest one hundred thousand?
-1900000
Suppose i + 1665956 = 53830629. Let c be i/13 + 4/(-26). Suppose c = -4*l + 10012667. Round l to the nearest one million.
2000000
Let u = -19341893.00037 + 19341985. Let s = u + -92. What is s rounded to four decimal places?
-0.0004
Let m = -7145008 - -7145009.0700067. Let c = -1.127 - -0.057. Let i = m + c. What is i rounded to 6 dps?
0.000007
Let h = 7.7754 + -11.8675. Let y = 4.1 + h. Round y to 3 decimal places.
0.008
Let y = -2031.999996503 + 2032. Round y to 7 decimal places.
0.0000035
Let p = 25.10076538 + -25.101. Round p to 5 decimal places.
-0.00023
Let p = -0.62 - -29.62. Let f = p - 16. Let m = f + -12.9972. What is m rounded to 3 decimal places?
0.003
Let p = -112 + 112.927. Round p to two dps.
0.93
Let k = 908.33 + -971.6. Let d = k - -63. Let i = d - -0.27000104. What is i rounded to seven decimal places?
0.000001
Let g = 0.0672 + -0.056. Round g to two decimal places.
0.01
Let y = 5319058.64999997 - 5319050.65. Let q = -6.1 - 1.9. Let o = y + q. What is o rounded to seven dps?
0
Let z = 1.0909 + -0.0333. Round z to 1 decimal place.
1.1
Let b = 0 + 2. Let p = 21579 + -21577.0002. Let i = b - p. What is i rounded to four dps?
0.0002
Let l(j) = 4*j + 1130*j**3 + 0*j**2 + 0*j**2 - 19*j**3. Let q be l(6). Round q to the nearest 100000.
200000
Let s = -463.0185 - -463. What is s rounded to two dps?
-0.02
Let x = -264.1 + 208. Let p = x + 60. Round p to zero decimal places.
4
Let t = -770 - -770.000008375. What is t rounded to six dps?
0.000008
Let r = 10 + -9.88. Let q = r + 0.14. Let g = q - -0.1. Round g to one decimal place.
0.4
Let d = 3.01 + -3.010309. What is d rounded to 4 dps?
-0.0003
Let a = -87048344 + 87048343.00000022. Let u = -0.7 + 1.7. Let s = a + u. What is s rounded to seven dps?
0.0000002
Suppose 4*o - 4*r - 328808 = 0, o - 4*o + 2*r = -246604. Round o to the nearest 10000.
80000
Let w(g) = 0 + 100387*g - 355388*g - 8 + 0. Let j be w(-8). What is j rounded to the nearest 100000?
2000000
Let q = -10044.07181 + 10044. Round q to 3 decimal places.
-0.072
Let k = -4.7 - -13.3. Let s = k + -8.599935. What is s rounded to five decimal places?
0.00007
Let g = -4 + 3.998691. Round g to four decimal places.
-0.0013
Let p = 0.261 + 104.739. Let z = p + -104.806. What is z rounded to 2 decimal places?
0.19
Let g = 0.22 - -32.78. Let z = 33.0000006 - g. Round z to seven dps.
0.0000006
Let i = -6217 - -6217.0003581. Round i to four decimal places.
0.0004
Let n = 2364.2279 + -2364. What is n rounded to 2 dps?
0.23
Let v = 4 + -16. Let t(g) = -1293*g - 16. Let r be t(v). What is r rounded to the nearest 1000?
16000
Let c = 1715 - -8460. Let i = 10218.43 - c. Let f = i + -43. What is f rounded to 1 decimal place?
0.4
Let o be 0 - ((-44)/(-55))/(2/5). Let b(j) = -11874*j**3 + 2*j**2 + 2*j + 4. Let y be b(o). Round y to the nearest 10000.
100000
Let t = -0.2 - -0.128. Let n = t - -47.072. Let z = 46.9999973 - n. Round z to 6 dps.
-0.000003
Let t be 8*(2 - (-357092)/8). Suppose -5*w + 4*m = -t - 417888, -m + 1 = 0. What is w rounded to the nearest 10000?
160000
Let r = 2193.025 + -2153. Let f = r - 0.025. Let l = -40.0000058 + f. What is l rounded to six dps?
-0.000006
Let y = 4 + -4.07. Let s = 0.06987 + y. Round s to four decimal places.
-0.0001
Let n = 72 + -51. Let i = -20.99942 + n. What is i rounded to 4 decimal places?
0.0006
Let a = 8.21 - 8. Let x = 0.2 - a. Let h = x + 0.010032. Round h to five decimal places.
0.00003
Suppose 5*y = 4*v - 294, 2*y + 3*y = -v - 289. Let u be (1*-15000)/(1/y). Round u to the nearest 100000.
900000
Let x(p) = 3*p**3 + p**2 - 2*p + 1. Let n be x(1). Suppose n*d + 17500000 = -2*d. Round d to the nearest 1000000.
-4000000
Let o(t) = 200000*t**2 - t + 2. Suppose -1 = -3*z + 5. Suppose 0 = -r + 2*r - z. Let u be o(r). What is u rounded to the neares
|
{
"pile_set_name": "DM Mathematics"
}
|
of 6080?
0
What is the thousands digit of 1021?
1
What is the hundreds digit of 717?
7
What is the tens digit of 560?
6
What is the hundreds digit of 5638?
6
What is the thousands digit of 4615?
4
What is the units digit of 18400?
0
What is the hundreds digit of 34596?
5
What is the ten thousands digit of 69083?
6
What is the tens digit of 897?
9
What is the thousands digit of 2174?
2
What is the hundreds digit of 33428?
4
What is the thousands digit of 5696?
5
What is the ten thousands digit of 27286?
2
What is the ten thousands digit of 11624?
1
What is the thousands digit of 16564?
6
What is the units digit of 48872?
2
What is the thousands digit of 25874?
5
What is the tens digit of 619?
1
What is the tens digit of 92?
9
What is the hundreds digit of 27480?
4
What is the tens digit of 37722?
2
What is the hundreds digit of 2396?
3
What is the hundreds digit of 12203?
2
What is the ten thousands digit of 181860?
8
What is the units digit of 376?
6
What is the units digit of 1680?
0
What is the tens digit of 1553?
5
What is the units digit of 47339?
9
What is the tens digit of 1063?
6
What is the hundreds digit of 12079?
0
What is the hundreds digit of 9233?
2
What is the hundreds digit of 2517?
5
What is the ten thousands digit of 14523?
1
What is the units digit of 3?
3
What is the tens digit of 68480?
8
What is the tens digit of 467?
6
What is the thousands digit of 1434?
1
What is the thousands digit of 3246?
3
What is the tens digit of 92917?
1
What is the tens digit of 13413?
1
What is the hundreds digit of 199?
1
What is the units digit of 414?
4
What is the tens digit of 1293?
9
What is the hundreds digit of 22595?
5
What is the hundreds digit of 1176?
1
What is the units digit of 2450?
0
What is the tens digit of 4044?
4
What is the thousands digit of 2855?
2
What is the hundreds digit of 1112?
1
What is the tens digit of 2431?
3
What is the hundreds digit of 3581?
5
What is the tens digit of 105524?
2
What is the units digit of 24266?
6
What is the hundreds digit of 2673?
6
What is the thousands digit of 5388?
5
What is the hundreds digit of 2285?
2
What is the tens digit of 17541?
4
What is the tens digit of 542?
4
What is the tens digit of 599?
9
What is the units digit of 2865?
5
What is the tens digit of 1422?
2
What is the hundreds digit of 1579?
5
What is the tens digit of 603?
0
What is the thousands digit of 1599?
1
What is the thousands digit of 7280?
7
What is the units digit of 1223?
3
What is the tens digit of 17622?
2
What is the ten thousands digit of 51504?
5
What is the units digit of 85943?
3
What is the tens digit of 317?
1
What is the thousands digit of 141497?
1
What is the tens digit of 12892?
9
What is the hundreds digit of 35905?
9
What is the units digit of 977?
7
What is the tens digit of 69257?
5
What is the ten thousands digit of 18753?
1
What is the units digit of 2542?
2
What is the units digit of 421?
1
What is the tens digit of 25902?
0
What is the tens digit of 5202?
0
What is the ten thousands digit of 42942?
4
What is the tens digit of 20043?
4
What is the hundreds digit of 1196?
1
What is the units digit of 4750?
0
What is the hundreds digit of 509?
5
What is the thousands digit of 25856?
5
What is the units digit of 155670?
0
What is the units digit of 2979?
9
What is the tens digit of 24686?
8
What is the units digit of 604?
4
What is the hundreds digit of 10803?
8
What is the thousands digit of 60129?
0
What is the units digit of 493?
3
What is the units digit of 1948?
8
What is the thousands digit of 2194?
2
What is the units digit of 5208?
8
What is the ten thousands digit of 29547?
2
What is the units digit of 68318?
8
What is the thousands digit of 8319?
8
What is the thousands digit of 2997?
2
What is the units digit of 21813?
3
What is the hundreds digit of 7461?
4
What is the ten thousands digit of 60353?
6
What is the thousands digit of 132408?
2
What is the units digit of 17150?
0
What is the units digit of 276?
6
What is the hundreds digit of 54264?
2
What is the hundreds digit of 218?
2
What is the hundreds digit of 510?
5
What is the hundred thousands digit of 151350?
1
What is the hundreds digit of 5309?
3
What is the tens digit of 9009?
0
What is the tens digit of 45?
4
What is the units digit of 1470?
0
What is the hundreds digit of 77840?
8
What is the thousands digit of 7046?
7
What is the hundreds digit of 3208?
2
What is the tens digit of 590?
9
What is the hundreds digit of 51404?
4
What is the units digit of 837?
7
What is the thousands digit of 2435?
2
What is the tens digit of 1955?
5
What is the units digit of 34798?
8
What is the ten thousands digit of 26934?
2
What is the thousands digit of 1098?
1
What is the tens digit of 2206?
0
What is the units digit of 33?
3
What is the units digit of 54649?
9
What is the hundreds digit of 4123?
1
What is the tens digit of 13970?
7
What is the hundreds digit of 103894?
8
What is the hundreds digit of 735?
7
What is the units digit of 54665?
5
What is the tens digit of 75139?
3
What is the tens digit of 15067?
6
What is the hundreds digit of 5670?
6
What is the units digit of 11008?
8
What is the tens digit of 19566?
6
What is the units digit of 3?
3
What is the units digit of 575?
5
What is the thousands digit of 4688?
4
What is the units digit of 2714?
4
What is the units digit of 2064?
4
What is the thousands digit of 2165?
2
What is the units digit of 3870?
0
What is the ten thousands digit of 32590?
3
What is the thousands digit of 9847?
9
What is the ten thousands digit of 88164?
8
What is the hundreds digit of 29063?
0
What is the units digit of 520?
0
What is the tens digit of 1568?
6
What is the tens digit of 113?
1
What is the units digit of 11459?
9
What is the tens digit of 28617?
1
What is the units digit of 853?
3
What is the hundreds digit of 553?
5
What is the hundreds digit of 42331?
3
What is the hundreds digit of 3445?
4
What is the tens digit of 1421?
2
What is the tens digit of 3295?
9
What is the thousands digit of 2529?
2
What is the units digit of 47839?
9
What is the units digit of 139957?
7
What is the ten thousands digit of 10552?
1
What is the units digit of 3060?
0
What is the tens digit of 9497?
9
What is the hundreds digit of 6375?
3
What is the thousands digit of 3692?
3
What is the tens digit of 727?
2
What is the units digit of 56470?
0
What is the hundreds digit of 39064?
0
What is the units digit of 396?
6
What is the units digit of 75372?
2
What is the thousands digit of 36680?
6
What is the hundreds digit of 5613?
6
What is the units digit of 509?
9
What is the units digit of 1792?
2
What is the tens digit of 1739?
3
What is the hundreds digit of 433?
4
What is the hundreds digit of 490?
4
What is the units digit of 4547?
7
What is the units digit of 1807?
7
What is the thousands digit of 8777?
8
What is the tens digit of 51?
5
What is the tens digit of 471?
7
What is the thousands digit of 8188?
8
What is the tens digit of 7078?
7
What is the units digit of 8133?
3
What is the ten thousands digit of 13995?
1
What is the hundreds digit of 1218?
2
What is the hundreds digit of 65430?
4
What is the units digit of 928?
8
What is the hundreds digit of 17898?
8
What is the tens digit of 203?
0
What is the thousands digit of 2595?
2
What is the hundreds digit of 8822?
8
What is the hundreds digit of 86411?
4
What is the tens digit of 57785?
8
What is the units digit of 5988?
8
What is the units digit of 8030?
0
What is the thousands digit of 21859?
1
What is the hundreds digit of 3089?
0
What is the thousands digit of 1613?
1
What is the thousands digit of 9802?
9
What is the units digit of 3612?
2
What is the units digit of 2636?
6
What is the hundreds digit of 99762?
7
What is the hundreds digit of 108?
1
What is the tens digit of 24440?
4
What is the tens digit of 758?
5
What is the units digit of 1371?
1
What is the hundreds digit of 597?
5
What is the thousands digit of 40258?
0
What is the thousands digit of 4330?
4
What is the ten thousands digit of 30123?
3
What is the units digit of 623?
3
What is the units digit of 5916?
6
What is the units digit of 11566?
6
What is the units digit of 923?
3
What is the hundreds digit of 5691?
6
What is the thousands digit of 65357?
5
What is the unit
|
{
"pile_set_name": "DM Mathematics"
}
|
, 7, 17, 113
List the prime factors of 5512928.
2, 172279
List the prime factors of 1746622.
2, 37, 23603
What are the prime factors of 13414154?
2, 13, 515929
List the prime factors of 1235278.
2, 11, 56149
List the prime factors of 978262.
2, 317, 1543
What are the prime factors of 6371196?
2, 3, 13, 40841
What are the prime factors of 3399886?
2, 7, 47, 5167
What are the prime factors of 343410?
2, 3, 5, 11447
List the prime factors of 604413.
3, 67157
What are the prime factors of 963818?
2, 481909
What are the prime factors of 235462?
2, 117731
List the prime factors of 397553.
13, 53, 577
What are the prime factors of 17609754?
2, 3, 101, 29059
List the prime factors of 388688.
2, 17, 1429
List the prime factors of 67301.
13, 31, 167
List the prime factors of 8826229.
8826229
List the prime factors of 563957.
547, 1031
What are the prime factors of 194593?
7, 27799
List the prime factors of 33648646.
2, 1847, 9109
What are the prime factors of 1381983?
3, 101, 4561
What are the prime factors of 564125?
5, 4513
List the prime factors of 34943572.
2, 31, 281803
List the prime factors of 203917.
7, 29131
List the prime factors of 704901.
3, 234967
List the prime factors of 3226845.
3, 5, 215123
What are the prime factors of 78023?
11, 41, 173
List the prime factors of 8137003.
7, 37, 89, 353
What are the prime factors of 1150849?
7, 17, 19, 509
List the prime factors of 739123.
7, 11, 29, 331
List the prime factors of 1357343.
13, 263, 397
List the prime factors of 5041960.
2, 5, 7, 11, 1637
List the prime factors of 636617.
23, 89, 311
List the prime factors of 1402.
2, 701
List the prime factors of 966801.
3, 11, 29297
What are the prime factors of 152888?
2, 29, 659
List the prime factors of 816821.
816821
What are the prime factors of 1423087?
17, 97, 863
What are the prime factors of 672686?
2, 7, 48049
What are the prime factors of 23260402?
2, 11, 1057291
What are the prime factors of 157326?
2, 3, 13, 2017
What are the prime factors of 18216618?
2, 3, 7, 433729
What are the prime factors of 338578?
2, 41, 4129
List the prime factors of 299862.
2, 3, 617
List the prime factors of 250068.
2, 3, 7, 13, 229
What are the prime factors of 473599?
7, 29, 2333
List the prime factors of 458754.
2, 3, 157, 487
List the prime factors of 204088.
2, 97, 263
List the prime factors of 16202270.
2, 5, 7, 231461
List the prime factors of 5997823.
13, 353, 1307
What are the prime factors of 4569535?
5, 913907
List the prime factors of 177003.
3, 71, 277
What are the prime factors of 5721768?
2, 3, 13, 6113
What are the prime factors of 3455668?
2, 863917
List the prime factors of 175386.
2, 3, 29231
List the prime factors of 1033002.
2, 3, 57389
List the prime factors of 1718126.
2, 61, 14083
What are the prime factors of 779424?
2, 3, 23, 353
What are the prime factors of 1121123?
421, 2663
List the prime factors of 220762.
2, 17, 43, 151
List the prime factors of 3893554.
2, 7, 278111
What are the prime factors of 302641?
127, 2383
What are the prime factors of 252823?
252823
List the prime factors of 2921138.
2, 11, 23, 251
What are the prime factors of 206943?
3, 11, 6271
List the prime factors of 15161840.
2, 5, 189523
What are the prime factors of 3925876?
2, 461, 2129
List the prime factors of 2554803.
3, 31, 9157
List the prime factors of 2194581.
3, 17, 37, 1163
What are the prime factors of 1823326?
2, 911663
List the prime factors of 309517.
13, 29, 821
List the prime factors of 12582311.
7, 23, 31, 2521
What are the prime factors of 1452954?
2, 3, 113, 2143
What are the prime factors of 237727?
7, 33961
List the prime factors of 4940230.
2, 5, 494023
List the prime factors of 6486449.
1721, 3769
List the prime factors of 36947094.
2, 3, 127, 48487
What are the prime factors of 767570?
2, 5, 76757
What are the prime factors of 405000?
2, 3, 5
List the prime factors of 4102201.
397, 10333
List the prime factors of 347478.
2, 3, 29, 1997
List the prime factors of 33062685.
3, 5, 79, 27901
List the prime factors of 10338545.
5, 7, 295387
What are the prime factors of 826772?
2, 139, 1487
What are the prime factors of 240463?
37, 67, 97
List the prime factors of 2441595.
3, 5, 13, 19, 659
What are the prime factors of 1614025?
5, 7, 23, 401
List the prime factors of 111131.
19, 5849
List the prime factors of 268576.
2, 7, 11, 109
What are the prime factors of 911399?
859, 1061
List the prime factors of 1508863.
31, 48673
What are the prime factors of 1687233?
3, 17, 33083
What are the prime factors of 158985?
3, 5, 3533
What are the prime factors of 1887871?
29, 65099
List the prime factors of 368335.
5, 11, 37, 181
List the prime factors of 161208.
2, 3, 2239
List the prime factors of 38765.
5, 7753
What are the prime factors of 8171799?
3, 2723933
List the prime factors of 452615.
5, 90523
List the prime factors of 695875.
5, 19, 293
What are the prime factors of 4271235?
3, 5, 284749
What are the prime factors of 3357689?
3357689
List the prime factors of 25703.
25703
What are the prime factors of 2183043?
3, 19, 38299
What are the prime factors of 49264?
2, 3079
What are the prime factors of 654921?
3, 53, 1373
List the prime factors of 1110232.
2, 107, 1297
What are the prime factors of 252399?
3, 7, 17, 101
What are the prime factors of 1906851?
3, 635617
List the prime factors of 233289.
3, 7, 23
List the prime factors of 22824.
2, 3, 317
List the prime factors of 96790.
2, 5, 9679
List the prime factors of 85551.
3, 28517
List the prime factors of 47926.
2, 31, 773
List the prime factors of 166805.
5, 73, 457
List the prime factors of 889.
7, 127
What are the prime factors of 1183992?
2, 3, 49333
What are the prime factors of 23291289?
3, 7, 369703
List the prime factors of 1113422.
2, 71, 7841
What are the prime factors of 23393?
149, 157
List the prime factors of 1019140.
2, 5, 50957
List the prime factors of 18805775.
5, 29, 25939
List the prime factors of 253692.
2, 3, 29
What are the prime factors of 2921190?
2, 3, 5, 97373
List the prime factors of 5552969.
53, 104773
What are the prime factors of 14287108?
2, 11, 324707
What are the prime factors of 75595?
5, 13, 1163
List the prime factors of 8121460.
2, 5, 406073
List the prime factors of 1594379.
17, 93787
What are the prime factors of 854884?
2, 213721
List the prime factors of 328463.
23, 14281
List the prime factors of 1035294.
2, 3, 13, 1021
List the prime factors of 441882.
2, 3, 7, 167
List the prime factors of 20593405.
5, 7, 588383
List the prime factors of 6070000.
2, 5, 607
List the prime factors of 495051.
3, 47, 3511
What are the prime factors of 667498?
2, 13, 25673
What are the prime factors of 1185195?
3, 5, 11, 653
List the prime factors of 280341.
3, 3461
What are the prime factors of 10192573?
2131, 4783
List the prime factors of 645932.
2, 7, 17, 23, 59
List the prime factors of 340048.
2, 53, 401
What are the prime factors of 814350?
2, 3, 5, 61, 89
List the prime factors of 486471.
3, 167, 971
What are the prime factors of 1192163?
7, 73, 2333
List the prime factors of 11603222.
2, 719, 8069
What are the prime factors of 971619?
3, 11, 29443
What are the prime factors of 12593459?
317, 39727
What are the prime factors of 229901?
7, 32843
What are the prime factors of 429279?
3, 143093
What are the prime factors of 116916?
2, 3, 9743
List the prime factors of 656628.
2, 3, 7, 7817
List the prime factors of 2571641.
17, 151273
List the prime factors of 970006.
2, 53, 9151
List the prime factors of 354239.
47, 7537
What are the prime factors of 20448?
2, 3, 71
List the prime factors of 184.
2, 23
List the prime factors of 211407.
3, 7, 10067
What are the prime factors of 564248?
2, 251, 281
What are the prime factors of 10075581?
3, 37, 79, 383
What are the prime factors of 696126?
2, 3, 181, 641
List the prime factors of 86152.
2, 11, 89
List the prime factors of 3432678.
2, 3, 67, 8539
List the prime factors of 454142.
2, 13, 17467
List the prime factors of 5685306.
2, 3, 11, 41, 191
What are the prime factors of 1458949?
353, 4133
List the prime factors of 980996.
2, 23, 10663
List the prime factors of 672173.
31, 21683
List the prime factors of 6164433.
3, 11, 71, 877
List the prime factors of 95343.
3, 61, 521
What are the prime factors of 235165?
|
{
"pile_set_name": "DM Mathematics"
}
|
).
17
Let f(q) = -7*q**2 - 37*q - 12. Determine f(-5).
-2
Let a(k) = k**3 - k**2 - 3*k. Determine a(2).
-2
Let z(n) = 83*n**2 + 162*n + 3. Calculate z(-2).
11
Let d(g) = 3*g**2 - 67*g + 42. Give d(22).
20
Let m(f) = -f**3 - 9*f**2 + 8*f - 12. Give m(-10).
8
Let m(n) = -n**3 + 19*n**2 - n + 22. Calculate m(19).
3
Let y(b) = 40*b - 798. Give y(20).
2
Let u(j) = 2*j**2 - 18*j + 22. Give u(8).
6
Let l(w) = -w**3 + 6*w**2 + 3*w - 4. Determine l(6).
14
Let z(l) = -23*l**3 - l**2 + l. What is z(1)?
-23
Let p(l) = -l - 13. Calculate p(-8).
-5
Let c(r) = -16*r + 179. Determine c(11).
3
Let d(v) = 12*v**3 - v**2 + v - 1. What is d(1)?
11
Let n(d) = d**2 + 7*d - 11. Determine n(-8).
-3
Let d(i) = i**3 - 38*i**2 - 77*i - 138. What is d(40)?
-18
Let c(o) = -o**3 + 17*o**2 - 19*o + 12. Determine c(16).
-36
Let q(w) = -10*w + 28. Give q(5).
-22
Let x(z) = -z**3 - 9*z**2 - 12*z - 17. What is x(-8)?
15
Let x(a) = -12*a**2 - 2*a. Determine x(-2).
-44
Let h(a) = -a**3 + 6*a**2 - 3*a - 10. Give h(4).
10
Let k(p) = p**3 - 5*p**2 + 3*p + 4. What is k(3)?
-5
Let g(o) = o**3 + 19*o**2 + 34*o + 6. Calculate g(-17).
6
Let g(i) = -i**3 - 5*i**2 + 9*i - 10. What is g(-7)?
25
Let a(v) = -v**3 - 2*v**2 - 2. Give a(-2).
-2
Let x(s) = -s - 18. Calculate x(-5).
-13
Let c(q) = q**3 - 6*q**2 + 2*q - 8. Calculate c(5).
-23
Let c(s) = s**3 + 14*s**2 + 12*s - 4. Give c(-13).
9
Let v(o) = -6*o + 43. What is v(4)?
19
Let i(a) = -a**3 - 2*a**2 + 15*a - 15. Calculate i(1).
-3
Let z(p) = -p**3 - 5*p**2 + 7*p + 3. What is z(-6)?
-3
Let x(s) = 2*s**2 - 8*s - 9. Calculate x(10).
111
Let j(m) = -m**2 + 11*m - 17. Give j(12).
-29
Let n(d) = d**3 + 3*d. What is n(-4)?
-76
Let r(t) = -9*t**2 - 3*t + 2. Determine r(1).
-10
Let t(d) = d**2 + 22*d - 45. Calculate t(-24).
3
Let x(v) = v**3 + 29*v**2 - 2*v - 62. What is x(-29)?
-4
Let f(c) = -2*c + 16. Give f(13).
-10
Let s(d) = -3*d - 22. Determine s(-6).
-4
Let l(f) = -f**2 - 21*f - 16. Give l(-21).
-16
Let o(p) = -p**2 - 3*p - 11. What is o(-10)?
-81
Let m(r) = r**2 + 11*r - 2. What is m(-12)?
10
Let b(y) = -2*y + 7. Determine b(6).
-5
Let x(u) = -2*u + 14. Calculate x(0).
14
Let q(x) = 30*x**3 - 2*x**2 + x + 1. Give q(1).
30
Let v(j) = -7*j - 7. Give v(5).
-42
Let i(v) = -v - 17. Determine i(-9).
-8
Let d(c) = 5*c + 44. What is d(-10)?
-6
Let l(s) = -s**2 + 7*s + 9. Calculate l(5).
19
Let j(o) = 15*o + 109. Give j(-7).
4
Let x(a) = 4*a - 29. Determine x(4).
-13
Let h(p) = -20*p - 2. What is h(-2)?
38
Let n(u) = u - 14. Give n(-15).
-29
Let z(x) = x**2 + 39*x - 47. Determine z(-40).
-7
Let u(m) = 3*m - 21. Determine u(5).
-6
Let s(n) = 2*n**2 - 7*n - 11. Give s(6).
19
Let m(g) = g**3 - 8*g**2 - 22*g + 18. Give m(10).
-2
Let r(m) = 56*m**3 + m**2 + 3*m - 4. Calculate r(1).
56
Let w(c) = -13*c**2 - 1. Determine w(2).
-53
Let m(o) = -o**3 - 3*o**2 - 16*o - 7. Give m(-4).
73
Let i(x) = 6*x + 5. What is i(-3)?
-13
Let h(v) = 25*v + 15. What is h(3)?
90
Let y(s) = 6*s + 31. Give y(-10).
-29
Let b(c) = -c**2 + 29*c + 166. Give b(34).
-4
Let s(b) = -9*b**2 + 3*b - 1. Give s(1).
-7
Let j(w) = -w**3 + 7*w**2 - 5*w - 2. Give j(5).
23
Let h(w) = w**2 - 6*w + 1. Determine h(11).
56
Let w(u) = u**2 + 7*u - 10. Give w(-11).
34
Let p(m) = -36*m - 1152. Give p(-32).
0
Let a(x) = x**2 + 15*x - 8. What is a(-15)?
-8
Let k(b) = b**3 + 9*b**2 + 9*b + 10. Calculate k(-8).
2
Let m(r) = -r**3 + 5*r**2 + 11*r + 4. Calculate m(7).
-17
Let s(f) = -f**2 - 12*f - 3. Determine s(-11).
8
Let n(t) = t**2 + t + 1. Give n(0).
1
Let l(w) = -w**2 - 11*w + 33. Calculate l(-15).
-27
Let k(m) = -2*m**3 - 23*m**2 + 11*m - 6. Calculate k(-12).
6
Let b(r) = r**2 - 13*r - 59. Give b(-4).
9
Let f(u) = -u + 3. What is f(7)?
-4
Let j(t) = -t - 4. Give j(10).
-14
Let m(b) = b**3 - 6*b**2 + 2*b + 7. Calculate m(6).
19
Let o(p) = p**2 + p - 49. What is o(13)?
133
Let a(y) = y - 3. Calculate a(11).
8
Let u(t) = -t**2 + 3*t - 3. What is u(-11)?
-157
Let y(n) = n**2 - 13*n + 41. Give y(10).
11
Let d(a) = a**3 - 11*a**2 - a + 5. Determine d(11).
-6
Let r(p) = -p**3 - 7*p**2 + 5*p - 8. Calculate r(-8).
16
Let q(g) = 4*g + 17. Determine q(-6).
-7
Let u(v) = v**3 - 10*v**2 - 26*v - 25. Determine u(12).
-49
Let w(o) = -2*o + 26. Determine w(12).
2
Let l(d) = -d**3 - 28*d**2 + 29*d + 3. Calculate l(-29).
3
Let z(c) = c**2 - 40*c + 281. Give z(31).
2
Let x(j) = j**3 - 7*j**2 - 4*j - 1. Determine x(8).
31
Let f(m) = 3*m - 2. Calculate f(3).
7
Let r(k) = 37*k - 151. Give r(5).
34
Let h(p) = -p**3 - 8*p**2 - 6*p + 3. Give h(-6).
-33
Let l(r) = r**2 - 6*r - 5. Calculate l(-3).
22
Let v(z) = -3*z**2 - 22*z + 3. Calculate v(-8).
-13
Let y(b) = 3*b**2 - 35*b - 20. What is y(12)?
-8
Let v(p) = -p**3 + 10*p**2 + 9*p + 8. Determine v(11).
-14
Let l(g) = 5*g + 68. Calculate l(-13).
3
Let f(h) = 98*h - 492. Give f(5).
-2
Let l(n) = n**2 - 11*n - 15. Calculate l(15).
45
Let a(l) = l - 23. What is a(23)?
0
Let p(j) = -13*j - 11. Give p(-1).
2
Let s(o) = o**2 + 36*o + 19. Determine s(-34).
-49
Let k(j) = -2*j**3 + j**2 + j + 1. Determine k(0).
1
Let b(n) = 2*n**3 + 45*n**2 - 23*n - 6. Determine b(-23).
-6
Let m(v) = 2*v**3 - 7*v**2 + 5*v - 22. Determine m(5).
78
Let g(l) = 17*l - 412. Determine g(24).
-4
Let z(l) = l**2 + 14. What is z(0)?
14
Let t(d) = d**2 + 51*d + 339. Determine t(-43).
-5
Let v(b) = -11*b - 512. What is v(-46)?
-6
Let n(d) = -d**2 - 9*d + 2. Calculate n(-10).
-8
Let s(k) = 2*k**3 + 4*k**2 - 5. Determine s(-4).
-69
Let q(d) = 2*d**2 - 22*d - 3. Calculate q(11).
-3
Let p(r) = r**3 - 5*r**2 + 5*r. Calculate p(2).
-2
Let j(o) = -5*o**3 + 2*o + 1. What is j(-1)?
4
Let g(c) = c**3 + 10*c**2 - 15*c - 10. What is g(-11)?
34
Let p(h) = h**3 + 5*h**2 + 13. Determine p(-7).
-85
Let x(z) = -2*z**2 - 15*z - 1. Calculate x(-6).
17
Let s(j) = j**3 + j**2 + 4*j - 17. What is s(2)?
3
Let g(z) = 2*z + 25. Calculate g(-16).
-7
Let g(o) = -4*o + 4. What is g(7)?
-24
Let s(g) = -7*g + 13. What is s(-6)?
55
Let p(h) = -h**3 + 10*h**2 + 16*h - 22. What is p(11)?
33
Let j(l) = l**2 - 11*l + 42. Give j(6).
12
Let c(k) = -11*k**2 - 3*k. What is c(-1)?
-8
Let d(s) = s**3 + s**2 - s - 13. Determine d(0).
-13
Let k(n) = n**2 + 3*n + 6. Calculate k(0).
6
Let g(r) = -6*r - 159. What is g(-27)?
3
Let y(s) = s**3 + 5*s**2 - 26*s - 10. What is y(-8)?
6
Let m(u) = u**3 + 26*u**2 - 25*u + 49. Determine m(-27).
-5
Let f(r) = 9*r + 41. Calculate f(-4).
5
Let m(u) = u**2 - 6*u + 7. Give m(3).
-2
Let o(p) = 90*p - 986. Calculate o(11).
4
Let n(x) = x**2 - 23*x + 76. Determine n(4).
0
Let d(o) = o**3 - 15*o**2 - 2*o + 29. Determine d(15).
-1
Let z(h) = -2*h**2 - 55*h + 34. Determine z(-28).
6
Let m(f) = -2*f**2 - 11*f - 10. Determine m(-7).
-31
Let p(n) = -n**3 - 5*n**2 + 8*n + 5. Determine p(-6).
-7
Let l(v) = -32*v + 11. Calculate l(2).
-53
Let b(u) = -21*u**3 - u**2 - 2*u - 1. What is b(-1)?
21
Let n(y) = y**2 - 7*y + 31. Calculate n(9).
49
Let c(s) = -2*s**3 - 2*s**2 - 5*s + 14. Give c(2).
-20
Let z(n) = -n**3 - 6*n**2 + 6*n - 3. Give z(-7).
4
Let f(j) = 4*j + 28. Give f(-21).
-56
Let r(w) = -w**3 + 14*w**2 - w + 11. What is r(14)?
-3
Let v(j) = 4*j - 34. What is v(9)?
2
Let m(u) = u**2 + 9*u - 10. What is m(-8)?
-18
Let o(m) = -m**3 + 15*m**2 - 27*m + 6. Calculate o(13).
-7
Let i(u) = u**3 - 8*u**2 + 11*u - 9. Give i(7).
19
Let k(q) = -5*q + 153. Give k(17).
68
Let k(u) = u**3 - 3*u**2 + 6*u - 6. What is k(4)?
34
Let p(w) = -w**3 + 31*w**2 - 88*w + 17. What is p(3)?
5
Let r(h) = 14*h - 255. What is r(18)?
-3
Let p(h) = h**2 - 35*h - 388. Give p(-9).
8
Let u(f) = -14*f + 158. Determine u(12).
-10
Let u(f) = 2*f**2 + 28*f + 85. What is u(-11)?
19
Let t(c) = c**3 - 14*c**2 + 15*c - 12. Determine t(13).
14
Let o(i) = i**2 - 13*i + 53. Calculate o(6).
11
Let b(a) = a**3 + 34*a**2 + 33*a - 34. Calculate b(-33).
-34
Let s(h) = -h**3 - 6*h**2 - 5*h + 1. Calculate s(-4).
-11
Let d(s) = s**3 + 9*s**2 + 10*s - 2. What is d(-7)?
26
Let h(v) = 3*v**2 - 30*v - 5. Determine h(10).
-5
Let d(z) = z**2 - 22*z - 10. What is d(22)?
-10
Let m(r) = -25*r + 264. Calculate m(11).
-11
Let r(n) = n - 92. Calculate r(4).
-88
Let w(q) = -q**3 - 4*q**2 + 3*q + 7. Determine w(-4).
-5
Let c(n) = -7*n - 5. Calculate c(-7).
44
Let h(y) = y + 9. Determine h(-9).
0
Let o(s) = -s**3 + 6*s**2 + 3*s + 1. Calculate o(7).
-27
Let n(a) = 2*a**2 + a + 3. What is n(3)?
|
{
"pile_set_name": "DM Mathematics"
}
|
epppieoibppiipi?
12/455
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from ttvttpttttt.
9/55
Two letters picked without replacement from ibboliiihbh. What is prob of picking 1 o and 1 h?
2/55
Calculate prob of picking 3 y when three letters picked without replacement from yyxy.
1/4
What is prob of picking 1 m and 1 p when two letters picked without replacement from {m: 4, i: 2, q: 3, p: 4, u: 1}?
16/91
Three letters picked without replacement from {w: 6}. What is prob of picking 3 w?
1
Two letters picked without replacement from kkaakkayakk. Give prob of picking 1 k and 1 a.
24/55
Calculate prob of picking 1 r and 2 g when three letters picked without replacement from grrrrrgg.
15/56
What is prob of picking 2 j and 2 c when four letters picked without replacement from {j: 4, c: 3, t: 1, x: 3}?
3/55
Three letters picked without replacement from edoovvvuvdd. What is prob of picking 1 v and 2 o?
4/165
Two letters picked without replacement from mtdml. What is prob of picking 1 l and 1 t?
1/10
Three letters picked without replacement from aahaatgzzoahatag. Give prob of picking 1 g and 2 t.
1/280
Calculate prob of picking 1 l and 1 a when two letters picked without replacement from laad.
1/3
Calculate prob of picking 2 i and 2 m when four letters picked without replacement from {m: 13, i: 3}.
9/70
Calculate prob of picking 2 i when two letters picked without replacement from {f: 1, d: 3, i: 3}.
1/7
Two letters picked without replacement from wqwwqqqqwqwqqqqqqww. What is prob of picking 1 q and 1 w?
28/57
Two letters picked without replacement from {r: 1, k: 1, a: 1, f: 3, q: 2, n: 3}. Give prob of picking 1 k and 1 n.
3/55
What is prob of picking 2 z and 1 i when three letters picked without replacement from xxzhoihzzhzi?
3/55
What is prob of picking 3 p when three letters picked without replacement from ppcecepp?
1/14
Four letters picked without replacement from fxxbbbxb. Give prob of picking 1 x, 1 f, and 2 b.
9/35
Calculate prob of picking 1 c, 2 q, and 1 y when four letters picked without replacement from {c: 13, q: 2, y: 5}.
13/969
Three letters picked without replacement from {y: 7, r: 1, l: 1, z: 3}. What is prob of picking 2 y and 1 l?
21/220
Three letters picked without replacement from mmmmmmmddmdmmmmm. Give prob of picking 1 m and 2 d.
39/560
Calculate prob of picking 1 g, 1 t, 1 l, and 1 o when four letters picked without replacement from oltlttltttglgttt.
18/455
Two letters picked without replacement from {c: 2, i: 8, p: 5, d: 1}. What is prob of picking 2 p?
1/12
Calculate prob of picking 1 c and 2 a when three letters picked without replacement from aaccaxvcvaccaccvcccx.
5/57
Two letters picked without replacement from {m: 3, w: 3, a: 2}. Give prob of picking 1 m and 1 a.
3/14
What is prob of picking 2 g when two letters picked without replacement from ggggggggg?
1
What is prob of picking 1 a and 1 u when two letters picked without replacement from {r: 2, a: 1, u: 1, b: 4}?
1/28
Two letters picked without replacement from {i: 1, u: 3, o: 4, w: 2}. Give prob of picking 1 i and 1 o.
4/45
Four letters picked without replacement from kkbkkikkibk. Give prob of picking 2 b, 1 k, and 1 i.
7/165
Four letters picked without replacement from {m: 8, t: 4, n: 1, i: 1, q: 3}. Give prob of picking 4 t.
1/2380
Three letters picked without replacement from {u: 1, r: 1, x: 2, q: 2, k: 1}. Give prob of picking 1 x, 1 q, and 1 k.
4/35
Four letters picked without replacement from qbqbnqjqbj. What is prob of picking 1 n, 2 b, and 1 j?
1/35
What is prob of picking 2 j and 1 k when three letters picked without replacement from {j: 8, k: 2}?
7/15
What is prob of picking 1 s and 3 r when four letters picked without replacement from rraaasrarssaarraara?
35/1292
Two letters picked without replacement from jjtttttjjq. What is prob of picking 2 j?
2/15
Three letters picked without replacement from dwqwwqqqqd. Give prob of picking 1 d and 2 w.
1/20
What is prob of picking 1 i, 1 y, and 2 q when four letters picked without replacement from qgqyyyiyqyixyy?
6/143
What is prob of picking 1 z and 1 u when two letters picked without replacement from {o: 3, u: 7, h: 3, z: 2}?
2/15
What is prob of picking 2 g and 1 w when three letters picked without replacement from wwggmwwggmmmggm?
12/91
What is prob of picking 2 m when two letters picked without replacement from mkkkmkk?
1/21
What is prob of picking 1 w and 2 y when three letters picked without replacement from {w: 7, y: 7, h: 2}?
21/80
Calculate prob of picking 2 w when two letters picked without replacement from jrcwlcwjrjlj.
1/66
Calculate prob of picking 2 i when two letters picked without replacement from {x: 7, i: 9}.
3/10
Calculate prob of picking 1 o and 3 y when four letters picked without replacement from orooyoooyyoc.
7/495
Calculate prob of picking 1 s, 1 q, and 2 r when four letters picked without replacement from {s: 4, q: 1, r: 5, n: 5}.
8/273
Three letters picked without replacement from hjdwd. What is prob of picking 1 d, 1 j, and 1 h?
1/5
Two letters picked without replacement from {d: 2, q: 9, c: 2}. Give prob of picking 1 c and 1 q.
3/13
Calculate prob of picking 4 q when four letters picked without replacement from qggqqgqq.
1/14
Three letters picked without replacement from {f: 2, e: 2, s: 2}. What is prob of picking 2 f and 1 s?
1/10
Two letters picked without replacement from syyyysosys. What is prob of picking 1 s and 1 y?
4/9
Three letters picked without replacement from {o: 6, k: 7, h: 2}. What is prob of picking 1 h and 2 o?
6/91
Calculate prob of picking 1 t and 2 h when three letters picked without replacement from {h: 3, t: 1, z: 3}.
3/35
Two letters picked without replacement from {s: 1, v: 1, t: 1, k: 2, w: 11, x: 4}. What is prob of picking 2 k?
1/190
Two letters picked without replacement from {u: 4, c: 6, s: 1, w: 5}. What is prob of picking 1 c and 1 u?
1/5
Three letters picked without replacement from ggdtggvvgtdggddgt. Give prob of picking 1 g and 2 v.
1/85
Two letters picked without replacement from oxohial. Give prob of picking 1 l and 1 h.
1/21
What is prob of picking 2 n when two letters picked without replacement from njnjnejenjjejjjjeeje?
3/95
Four letters picked without replacement from lvllvesvelvellvlvl. What is prob of picking 1 l, 1 s, and 2 e?
2/255
Three letters picked without replacement from vvlrrrrrrrkllvlrn. What is prob of picking 1 k, 1 v, and 1 l?
3/170
Two letters picked without replacement from {z: 5, t: 5}. Give prob of picking 1 t and 1 z.
5/9
What is prob of picking 2 v and 1 c when three letters picked without replacement from {v: 2, c: 2, e: 4, z: 2}?
1/60
Calculate prob of picking 1 k, 1 m, and 1 t when three letters picked without replacement from {t: 5, k: 6, x: 2, m: 1, w: 3}.
3/68
Two letters picked without replacement from {q: 11, e: 1, c: 7}. What is prob of picking 2 q?
55/171
What is prob of picking 1 w and 2 x when three letters picked without replacement from kiwxokoooiiikooo?
0
What is prob of picking 2 g when two letters picked without replacement from wgygwwywwwyygg?
6/91
Calculate prob of picking 1 s and 1 c when two letters picked without replacement from uqxxscyyxcc.
3/55
Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {x: 1, g: 1, h: 5, a: 4}.
4/11
What is prob of picking 4 t when four letters picked without replacement from {t: 4, m: 5, n: 1}?
1/210
What is prob of picking 2 b when two letters picked without replacement from {l: 1, g: 5, b: 4, x: 1, h: 3, f: 1}?
2/35
Calculate prob of picking 2 u and 1 c when three letters picked without replacement from {c: 1, l: 6, e: 11, u: 1}.
0
Two letters picked without replacement from ccv. What is prob of picking 2 c?
1/3
Calculate prob of picking 3 e when three letters picked without replacement from ekkeeeeeekkeeeekee.
143/408
What is prob of picking 2 k when two letters picked without replacement from kddkz?
1/10
Two letters picked without replacement from {n: 1, o: 1, p: 4, h: 1, l: 1}. What is prob of picking 1 h and 1 o?
1/28
What is prob of picking 2 g and 1 t when three letters picked without replacement from vlvltglllllg?
1/220
Three letters picked without replacement from {x: 5, o: 2, y: 4, f: 1, a: 2}.
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest integer?
31
What is 1094028 to the power of 1/2, to the nearest integer?
1046
What is the square root of 695742 to the nearest integer?
834
What is 24732052 to the power of 1/5, to the nearest integer?
30
What is 36967 to the power of 1/2, to the nearest integer?
192
What is the third root of 3678962 to the nearest integer?
154
What is 959866 to the power of 1/2, to the nearest integer?
980
What is 18875693 to the power of 1/10, to the nearest integer?
5
What is the square root of 504009 to the nearest integer?
710
What is 935700 to the power of 1/6, to the nearest integer?
10
What is the square root of 1047678 to the nearest integer?
1024
What is 4389732 to the power of 1/3, to the nearest integer?
164
What is the third root of 603230 to the nearest integer?
84
What is 128026 to the power of 1/5, to the nearest integer?
11
What is 242627 to the power of 1/3, to the nearest integer?
62
What is the seventh root of 586915 to the nearest integer?
7
What is 92681 to the power of 1/3, to the nearest integer?
45
What is the square root of 13175258 to the nearest integer?
3630
What is the square root of 1020357 to the nearest integer?
1010
What is 1974922 to the power of 1/3, to the nearest integer?
125
What is 1454700 to the power of 1/8, to the nearest integer?
6
What is 110333 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 3683330 to the nearest integer?
5
What is 1073269 to the power of 1/9, to the nearest integer?
5
What is the square root of 587901 to the nearest integer?
767
What is the fifth root of 13213600 to the nearest integer?
27
What is the cube root of 15805089 to the nearest integer?
251
What is 4479698 to the power of 1/9, to the nearest integer?
5
What is the cube root of 402707 to the nearest integer?
74
What is the eighth root of 2285779 to the nearest integer?
6
What is the third root of 11645578 to the nearest integer?
227
What is the square root of 2367746 to the nearest integer?
1539
What is the square root of 1655124 to the nearest integer?
1287
What is the third root of 432454 to the nearest integer?
76
What is 5626977 to the power of 1/3, to the nearest integer?
178
What is the eighth root of 63452 to the nearest integer?
4
What is 15196101 to the power of 1/2, to the nearest integer?
3898
What is the cube root of 408553 to the nearest integer?
74
What is 238793 to the power of 1/9, to the nearest integer?
4
What is 395895 to the power of 1/4, to the nearest integer?
25
What is 1432888 to the power of 1/2, to the nearest integer?
1197
What is 12801084 to the power of 1/3, to the nearest integer?
234
What is the square root of 845206 to the nearest integer?
919
What is the sixth root of 147835 to the nearest integer?
7
What is the third root of 535000 to the nearest integer?
81
What is 18154922 to the power of 1/2, to the nearest integer?
4261
What is 25172282 to the power of 1/7, to the nearest integer?
11
What is 3037550 to the power of 1/5, to the nearest integer?
20
What is the square root of 712488 to the nearest integer?
844
What is 3688550 to the power of 1/2, to the nearest integer?
1921
What is 4491651 to the power of 1/2, to the nearest integer?
2119
What is the eighth root of 592066 to the nearest integer?
5
What is the cube root of 9564948 to the nearest integer?
212
What is the cube root of 827305 to the nearest integer?
94
What is 110133 to the power of 1/2, to the nearest integer?
332
What is the square root of 15409042 to the nearest integer?
3925
What is the sixth root of 561377 to the nearest integer?
9
What is the fifth root of 3601477 to the nearest integer?
20
What is 400758 to the power of 1/2, to the nearest integer?
633
What is 14892650 to the power of 1/6, to the nearest integer?
16
What is the square root of 51638 to the nearest integer?
227
What is 3398019 to the power of 1/3, to the nearest integer?
150
What is 2030889 to the power of 1/8, to the nearest integer?
6
What is the square root of 382702 to the nearest integer?
619
What is 3494923 to the power of 1/2, to the nearest integer?
1869
What is the cube root of 225598 to the nearest integer?
61
What is 48405 to the power of 1/3, to the nearest integer?
36
What is 229642 to the power of 1/3, to the nearest integer?
61
What is the ninth root of 2791490 to the nearest integer?
5
What is 1823413 to the power of 1/2, to the nearest integer?
1350
What is 1551427 to the power of 1/2, to the nearest integer?
1246
What is 1852855 to the power of 1/6, to the nearest integer?
11
What is 848036 to the power of 1/3, to the nearest integer?
95
What is 115388 to the power of 1/7, to the nearest integer?
5
What is the square root of 3320179 to the nearest integer?
1822
What is the cube root of 1967524 to the nearest integer?
125
What is the fourth root of 459027 to the nearest integer?
26
What is the square root of 290956 to the nearest integer?
539
What is the cube root of 1302835 to the nearest integer?
109
What is 505025 to the power of 1/3, to the nearest integer?
80
What is the square root of 25183237 to the nearest integer?
5018
What is the square root of 5379797 to the nearest integer?
2319
What is the square root of 3702914 to the nearest integer?
1924
What is the square root of 971762 to the nearest integer?
986
What is the third root of 4527032 to the nearest integer?
165
What is the sixth root of 27062602 to the nearest integer?
17
What is 5280985 to the power of 1/2, to the nearest integer?
2298
What is 898724 to the power of 1/6, to the nearest integer?
10
What is 14661903 to the power of 1/3, to the nearest integer?
245
What is the square root of 1102427 to the nearest integer?
1050
What is the square root of 878132 to the nearest integer?
937
What is the square root of 804879 to the nearest integer?
897
What is the square root of 5637610 to the nearest integer?
2374
What is 2152305 to the power of 1/3, to the nearest integer?
129
What is the square root of 27767359 to the nearest integer?
5269
What is the third root of 62488 to the nearest integer?
40
What is 112829 to the power of 1/2, to the nearest integer?
336
What is the sixth root of 172375 to the nearest integer?
7
What is the cube root of 1900152 to the nearest integer?
124
What is 221796 to the power of 1/2, to the nearest integer?
471
What is the square root of 1203282 to the nearest integer?
1097
What is the seventh root of 3496268 to the nearest integer?
9
What is the third root of 47754 to the nearest integer?
36
What is the third root of 1723910 to the nearest integer?
120
What is 198840 to the power of 1/3, to the nearest integer?
58
What is 26756273 to the power of 1/2, to the nearest integer?
5173
What is the fifth root of 3531544 to the nearest integer?
20
What is 3607743 to the power of 1/3, to the nearest integer?
153
What is the square root of 505039 to the nearest integer?
711
What is 681485 to the power of 1/2, to the nearest integer?
826
What is 204350 to the power of 1/3, to the nearest integer?
59
What is the square root of 10988709 to the nearest integer?
3315
What is 3411373 to the power of 1/10, to the nearest integer?
5
What is 327839 to the power of 1/2, to the nearest integer?
573
What is 63166 to the power of 1/6, to the nearest integer?
6
What is 3532601 to the power of 1/5, to the nearest integer?
20
What is 832998 to the power of 1/3, to the nearest integer?
94
What is the square root of 204707 to the nearest integer?
452
What is the tenth root of 16949172 to the nearest integer?
5
What is 5263723 to the power of 1/7, to the nearest integer?
9
What is 1015486 to the power of 1/7, to the nearest integer?
7
What is the square root of 10642737 to the nearest integer?
3262
What is the fifth root of 256306 to the nearest integer?
12
What is 2132382 to the power of 1/4, to the nearest integer?
38
What is the third root of 5145486 to the nearest integer?
173
What is the eighth root of 2219575 to the nearest integer?
6
What is 1483470 to the power of 1/5, to the nearest integer?
17
What is the third root of 1789729 to the nearest integer?
121
What is 596041 to the power of 1/10, to the nearest integer?
4
What is 57904 to the power of 1/2, to the nearest integer?
241
What is the square root of 285033 to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from {e: 7, v: 3, p: 2, u: 3}. Give prob of picking 2 e, 1 u, and 1 v.
9/65
Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {m: 15, u: 5}.
35/76
What is prob of picking 1 t, 2 l, and 1 n when four letters picked without replacement from llbtiynt?
1/35
Two letters picked without replacement from {t: 1, e: 1, p: 1, l: 1, s: 1, i: 2}. Give prob of picking 1 p and 1 s.
1/21
Three letters picked without replacement from {y: 4, q: 2, u: 10}. Give prob of picking 2 u and 1 y.
9/28
Calculate prob of picking 2 j when two letters picked without replacement from {c: 1, x: 1, m: 2, p: 2, d: 1, j: 1}.
0
Two letters picked without replacement from {g: 11, o: 2}. Give prob of picking 2 o.
1/78
What is prob of picking 2 y and 1 o when three letters picked without replacement from lvioyyoi?
1/28
What is prob of picking 1 q and 1 b when two letters picked without replacement from pbbppayppqpa?
1/33
Calculate prob of picking 2 a when two letters picked without replacement from {n: 2, p: 8, a: 4}.
6/91
Two letters picked without replacement from kcjkjjcjjkdjdkjcjjkj. What is prob of picking 1 k and 1 j?
5/19
Calculate prob of picking 4 m when four letters picked without replacement from {m: 4}.
1
Three letters picked without replacement from ktthgerkgterke. What is prob of picking 1 t, 1 e, and 1 g?
9/182
Three letters picked without replacement from iii. Give prob of picking 3 i.
1
Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {y: 1, v: 2, b: 4, r: 1, d: 1}.
1/18
Three letters picked without replacement from yyyfyyfy. Give prob of picking 3 y.
5/14
What is prob of picking 1 y, 1 p, 1 m, and 1 v when four letters picked without replacement from mpypyuvb?
2/35
What is prob of picking 3 v when three letters picked without replacement from {c: 7, v: 3}?
1/120
What is prob of picking 1 j and 2 p when three letters picked without replacement from {r: 1, j: 2, p: 2, f: 1, u: 10}?
1/280
What is prob of picking 3 c and 1 f when four letters picked without replacement from {v: 2, f: 2, c: 6, d: 3}?
8/143
Three letters picked without replacement from {g: 5, r: 6, h: 1, u: 3, j: 1, d: 1}. What is prob of picking 1 g, 1 d, and 1 h?
1/136
Three letters picked without replacement from {v: 8, a: 1, g: 6}. Give prob of picking 2 g and 1 a.
3/91
Calculate prob of picking 1 e, 1 d, and 1 l when three letters picked without replacement from {e: 4, c: 1, z: 1, d: 1, l: 2}.
2/21
Calculate prob of picking 1 q, 1 c, and 2 t when four letters picked without replacement from qggqcgffcffggtpgctq.
3/1292
What is prob of picking 2 s and 1 q when three letters picked without replacement from sssq?
3/4
Three letters picked without replacement from {s: 2, l: 4, a: 2, q: 3, u: 4, o: 3}. Give prob of picking 1 o, 1 q, and 1 u.
3/68
What is prob of picking 2 f and 1 i when three letters picked without replacement from fibiaiofbbsbfb?
9/364
Three letters picked without replacement from nnsnasnnznnazn. Give prob of picking 1 z, 1 n, and 1 a.
8/91
Calculate prob of picking 1 c and 1 s when two letters picked without replacement from csmnnmm.
1/21
Two letters picked without replacement from {l: 1, f: 2, p: 2, v: 1, q: 6, g: 5}. Give prob of picking 1 f and 1 p.
1/34
Four letters picked without replacement from iiiiixxaiiaaixax. What is prob of picking 3 a and 1 i?
8/455
Four letters picked without replacement from xxxxxxxxxxxxxrxxxxx. What is prob of picking 1 r and 3 x?
4/19
Two letters picked without replacement from {x: 6, a: 5, y: 1, s: 1, r: 6}. What is prob of picking 2 a?
10/171
Calculate prob of picking 1 k, 1 t, and 1 u when three letters picked without replacement from tquqtutauuttutk.
6/91
What is prob of picking 2 q when two letters picked without replacement from {q: 3, o: 2, k: 4, p: 1, f: 2, m: 3}?
1/35
Three letters picked without replacement from lwxwrjjwjrjwjl. Give prob of picking 2 j and 1 w.
10/91
Four letters picked without replacement from {r: 12, x: 6}. Give prob of picking 4 r.
11/68
Three letters picked without replacement from ppopopop. What is prob of picking 1 o and 2 p?
15/28
Calculate prob of picking 3 l when three letters picked without replacement from uuuululuululuu.
1/91
What is prob of picking 1 g and 1 a when two letters picked without replacement from gaaaagaaa?
7/18
Calculate prob of picking 2 v when two letters picked without replacement from {v: 5, s: 15}.
1/19
Four letters picked without replacement from uquoquqcpcooqqc. Give prob of picking 1 u, 1 q, 1 c, and 1 p.
3/91
Calculate prob of picking 1 z and 3 x when four letters picked without replacement from {x: 5, z: 7}.
14/99
What is prob of picking 2 c, 1 v, and 1 m when four letters picked without replacement from {m: 2, o: 6, c: 9, v: 1}?
2/85
Calculate prob of picking 1 p and 2 i when three letters picked without replacement from {i: 2, d: 1, l: 2, p: 6, g: 4}.
6/455
Two letters picked without replacement from {k: 2, m: 5}. What is prob of picking 2 k?
1/21
Three letters picked without replacement from ccckcckuokchk. What is prob of picking 2 k and 1 c?
18/143
Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 3, i: 3}.
3/5
Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {d: 2, m: 1}.
2/3
Four letters picked without replacement from fdingnxxixiii. What is prob of picking 1 i, 1 f, and 2 n?
1/143
Calculate prob of picking 1 h and 2 l when three letters picked without replacement from hhllllhhhhhlhvl.
24/91
Four letters picked without replacement from ywwwwuwwuyuyqyy. Give prob of picking 1 w and 3 u.
2/455
What is prob of picking 1 v and 3 h when four letters picked without replacement from {p: 4, v: 1, h: 9}?
12/143
What is prob of picking 1 i, 1 y, and 1 z when three letters picked without replacement from oocziyioiiioyiiyziiy?
6/95
Two letters picked without replacement from fgruuyh. What is prob of picking 1 u and 1 r?
2/21
Three letters picked without replacement from khhg. Give prob of picking 1 k and 2 h.
1/4
Four letters picked without replacement from {i: 3, w: 10, z: 1, c: 1}. What is prob of picking 3 i and 1 z?
1/1365
Two letters picked without replacement from occoc. What is prob of picking 1 o and 1 c?
3/5
Three letters picked without replacement from {x: 2, j: 1, o: 1, y: 5, d: 8}. What is prob of picking 1 d, 1 j, and 1 y?
1/17
Three letters picked without replacement from egeeigereg. What is prob of picking 1 e, 1 r, and 1 g?
1/8
Calculate prob of picking 2 f when two letters picked without replacement from uufuuuf.
1/21
Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {q: 4, t: 1, s: 1, m: 3, f: 6}.
4/35
Three letters picked without replacement from {k: 2, a: 2, m: 2, w: 3, o: 2, c: 1}. What is prob of picking 1 m and 2 k?
1/110
Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {x: 10, g: 5, m: 1, a: 4}.
1/38
Three letters picked without replacement from giiimfmmiififb. What is prob of picking 1 f, 1 m, and 1 i?
27/182
What is prob of picking 1 t and 1 e when two letters picked without replacement from lepdt?
1/10
Calculate prob of picking 1 x and 2 k when three letters picked without replacement from xkkxkkxxxkkxx.
105/286
What is prob of picking 3 c and 1 x when four letters picked without replacement from {x: 17, c: 3}?
1/285
Three letters picked without replacement from {o: 2, g: 2, r: 7, p: 1, m: 8}. Give prob of picking 3 o.
0
What is prob of picking 3 b and 1 m when four letters picked without replacement from {r: 2, h: 4, b: 3, m: 2, i: 2}?
2/715
Calculate prob of picking 1 h and 1 z when two letters picked without replacement from hzzzh.
3/5
Two letters picked without replacement from {z: 2, p: 1}. What is prob of picking 1 p and 1 z?
2/3
Calculate prob of picking 1 t and 1 p when two letters picked without replacement from pte.
1/3
Calculate prob of picking 1 v, 1 t, and 1 f when three letters picked without replacement from xttltfflfvrvxx.
9/182
Calculate prob of picking 1 a, 1 u, and 1 k when three letters picked without replacement from muwupmappmmwammkppu.
2/323
Calculate prob of picking 1 c and 1 r when two letters picked wit
|
{
"pile_set_name": "DM Mathematics"
}
|
emainder when 38594992 is divided by 2717.
7
Calculate the remainder when 2849662 is divided by 158313.
28
Calculate the remainder when 92537792 is divided by 562.
558
What is the remainder when 40022288 is divided by 580?
548
What is the remainder when 723870 is divided by 119?
112
What is the remainder when 67989225 is divided by 626?
617
What is the remainder when 4294729 is divided by 107365?
129
What is the remainder when 5926310 is divided by 2174?
2160
Calculate the remainder when 17503531 is divided by 1944799.
340
Calculate the remainder when 239920 is divided by 62.
42
Calculate the remainder when 28772076 is divided by 93.
15
What is the remainder when 8295 is divided by 1946?
511
What is the remainder when 9983205 is divided by 228?
225
Calculate the remainder when 2321265 is divided by 45515.
0
Calculate the remainder when 55993 is divided by 2753.
933
Calculate the remainder when 19702822 is divided by 39.
22
What is the remainder when 237541 is divided by 21435?
1756
Calculate the remainder when 10497100 is divided by 6.
4
Calculate the remainder when 6883653 is divided by 18020.
13
What is the remainder when 16615 is divided by 2199?
1222
Calculate the remainder when 1558625 is divided by 27.
23
Calculate the remainder when 308492 is divided by 6295.
37
What is the remainder when 2854278 is divided by 830?
738
Calculate the remainder when 607104 is divided by 101182.
12
Calculate the remainder when 4071702 is divided by 1360.
1222
Calculate the remainder when 340955 is divided by 113651.
2
Calculate the remainder when 3142721 is divided by 10546.
13
Calculate the remainder when 136406306 is divided by 11746.
8
What is the remainder when 59827 is divided by 11879?
432
Calculate the remainder when 3814994 is divided by 1147.
72
Calculate the remainder when 143164309 is divided by 10.
9
Calculate the remainder when 1466097 is divided by 488295.
1212
What is the remainder when 307202 is divided by 2104?
18
Calculate the remainder when 2583090 is divided by 1291448.
194
What is the remainder when 7761868 is divided by 43?
24
What is the remainder when 678503 is divided by 13570?
3
Calculate the remainder when 626501 is divided by 259.
239
Calculate the remainder when 2969167 is divided by 275.
267
Calculate the remainder when 22786399 is divided by 264958.
11
What is the remainder when 133360 is divided by 33267?
292
What is the remainder when 62901 is divided by 3674?
443
Calculate the remainder when 747317 is divided by 249048.
173
What is the remainder when 105253 is divided by 898?
187
Calculate the remainder when 222845 is divided by 404.
241
What is the remainder when 21091388 is divided by 533?
45
Calculate the remainder when 160620 is divided by 53517.
69
Calculate the remainder when 224029 is divided by 2154.
13
What is the remainder when 3118773 is divided by 3454?
3265
What is the remainder when 978047 is divided by 283?
282
Calculate the remainder when 176053 is divided by 34730.
2403
Calculate the remainder when 1653018 is divided by 2144.
2138
Calculate the remainder when 1017355 is divided by 1017300.
55
What is the remainder when 289675 is divided by 72314?
419
Calculate the remainder when 59336 is divided by 958.
898
Calculate the remainder when 578635 is divided by 9.
7
What is the remainder when 956516 is divided by 34152?
260
Calculate the remainder when 204163210 is divided by 600480.
10
What is the remainder when 6094587 is divided by 896?
891
What is the remainder when 2687177 is divided by 1342741?
1695
Calculate the remainder when 275923 is divided by 1508.
1467
What is the remainder when 179206 is divided by 10540?
26
Calculate the remainder when 287273759 is divided by 617793.
14
What is the remainder when 14294692 is divided by 157?
156
Calculate the remainder when 124317 is divided by 41257.
546
What is the remainder when 191766 is divided by 11030?
4256
What is the remainder when 286706624 is divided by 53?
50
What is the remainder when 487427 is divided by 28668?
71
What is the remainder when 3790 is divided by 2745?
1045
What is the remainder when 55884507 is divided by 13?
3
Calculate the remainder when 1071999 is divided by 1290.
9
What is the remainder when 569536 is divided by 9?
7
Calculate the remainder when 12712899 is divided by 6356425.
49
What is the remainder when 147520541 is divided by 163?
162
What is the remainder when 102618 is divided by 3186?
666
Calculate the remainder when 164243 is divided by 27370.
23
What is the remainder when 4471906 is divided by 2227?
90
What is the remainder when 2777372 is divided by 173577?
140
What is the remainder when 1668363 is divided by 41708?
43
What is the remainder when 3142963 is divided by 56?
19
What is the remainder when 67598960 is divided by 26?
0
What is the remainder when 16186195 is divided by 75?
70
What is the remainder when 493484 is divided by 3205?
3119
What is the remainder when 255082 is divided by 11?
3
What is the remainder when 3523183 is divided by 9?
7
What is the remainder when 97267489 is divided by 3275?
3264
What is the remainder when 187103 is divided by 186875?
228
Calculate the remainder when 704580 is divided by 1179.
717
What is the remainder when 3546641 is divided by 319?
318
What is the remainder when 8710847 is divided by 22165?
2
What is the remainder when 6584158 is divided by 20?
18
What is the remainder when 27407129 is divided by 359?
351
Calculate the remainder when 1513066 is divided by 3646.
3622
What is the remainder when 5752617 is divided by 46392?
9
What is the remainder when 378492 is divided by 832?
764
Calculate the remainder when 3735217 is divided by 3462.
3181
What is the remainder when 19686938 is divided by 2220?
2198
Calculate the remainder when 212344334 is divided by 315.
314
Calculate the remainder when 32318 is divided by 7801.
1114
What is the remainder when 243940 is divided by 80443?
2611
What is the remainder when 383077 is divided by 42533?
280
Calculate the remainder when 953602522 is divided by 2946.
2944
Calculate the remainder when 13870105 is divided by 1832.
33
What is the remainder when 706765 is divided by 61?
19
Calculate the remainder when 3340017 is divided by 698.
87
Calculate the remainder when 463196 is divided by 462855.
341
What is the remainder when 64303270 is divided by 183?
181
What is the remainder when 1052150 is divided by 263028?
38
What is the remainder when 10949067 is divided by 201?
195
Calculate the remainder when 228521 is divided by 31352.
9057
What is the remainder when 245481515 is divided by 28?
27
Calculate the remainder when 93257 is divided by 10130.
2087
Calculate the remainder when 234427 is divided by 1736.
67
What is the remainder when 7117002 is divided by 2319?
2310
What is the remainder when 10192113 is divided by 196002?
9
Calculate the remainder when 2017517 is divided by 672502.
11
What is the remainder when 567635 is divided by 5305?
0
What is the remainder when 828926589 is divided by 3666?
3663
What is the remainder when 3512883 is divided by 320?
243
Calculate the remainder when 8695040 is divided by 1050.
1040
Calculate the remainder when 75500 is divided by 12352.
1388
Calculate the remainder when 77167336 is divided by 1829.
1826
Calculate the remainder when 29955182 is divided by 752.
14
What is the remainder when 45744 is divided by 14303?
2835
What is the remainder when 56120 is divided by 10848?
1880
What is the remainder when 4723376 is divided by 18?
14
Calculate the remainder when 1562347 is divided by 2904.
2899
What is the remainder when 30285 is divided by 178?
25
What is the remainder when 379141092 is divided by 1165?
1162
Calculate the remainder when 71844392 is divided by 2836.
4
Calculate the remainder when 850028 is divided by 2104.
12
Calculate the remainder when 2987012 is divided by 2987011.
1
What is the remainder when 1166436 is divided by 767?
596
What is the remainder when 4333975 is divided by 110?
85
Calculate the remainder when 534801 is divided by 7711.
2742
Calculate the remainder when 46324 is divided by 1351.
390
What is the remainder when 207939 is divided by 379?
247
What is the remainder when 85602702 is divided by 14859?
3
Calculate the remainder when 8321657 is divided by 59.
2
Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*j - 6. Is 7 - 7 - (-26)/j prime?
True
Let l = -4 + 8. Suppose -x - l*f + 180 = x, -2*x = 3*f - 184. Let p = x + -3. Is p composite?
True
Suppose -4*c = c - 10. Suppose -3*t - 3*a + 115 = -c*t, a + 119 = t. Is t a composite number?
True
Let k(p) = -4*p - 16. Let q(i) = -i - 5. Let v(y) = 4*k(y) - 14*q(y). Let o be v(9). Is 2/(6/(-3)) - o composite?
False
Suppose -3*z = 2*j + 12, 5*z + 20 = 6*j - j. Suppose 4*g = -j*g - 12. Is ((-6)/g)/(-6)*-39 a composite number?
False
Let u = 15 - 5. Let b(z) = -z**2 + 10*z - 1. Let p be b(9). Is 4/(p/u)*7 a composite number?
True
Suppose 0*n = -3*n + 4*m + 6, 5*m - 4 = -2*n. Suppose -n*z - 2*z - 1644 = 4*q, z = -5*q - 431. Let w = z + 699. Is w composite?
False
Let r(a) = -a - 62. Let k be r(0). Suppose 13 = 4*n - 7. Let g = n - k. Is g a prime number?
True
Let i = -139 - -201. Let v = i + -27. Is v prime?
False
Suppose 3*a = -5*m + 102, a = 3*m - 42 - 22. Suppose -36 = -3*k + m. Is k composite?
False
Is -191*(4 - 5) + 0 a prime number?
True
Suppose -23 = -4*u + 17. Is u a composite number?
True
Suppose -4 = -5*s + 6. Let t be s*(-2 + -4)/(-3). Suppose -3*i + 109 = t*q, -3*i + 70 + 64 = -q. Is i composite?
False
Let s be (14/35)/(2/10). Suppose -3*f = s*c - 30 - 13, 5*c - 25 = 0. Is f a prime number?
True
Let b(w) = -43*w + 8. Is b(-1) prime?
False
Suppose 3*u + 5*q - 10147 = 0, -u - 3*u = -3*q - 13568. Is u composite?
False
Let b = -21 + 31. Is 224/10 - 4/b a prime number?
False
Let q = 1 - 3. Let a(s) = -9*s**3 - 3*s**2 - 2*s + 2. Let l be a(q). Let u = -29 + l. Is u a prime number?
True
Is 2*(4 - (-166)/4) composite?
True
Let k be (-1 + (-9)/(-2))*2. Suppose 13 = 5*q - i, 7 = 5*q + 3*i - k*i. Suppose 2*d - 42 = 4*m, d + 5*m = q*d - 46. Is d prime?
True
Let a = 15 + -9. Suppose a*k = k + 415. Is k prime?
True
Let m be (-1)/1 - (-5 + 4). Suppose m*k - k = 5. Is 339/15 - 2/k a prime number?
True
Suppose -i = -2*i. Let d = 4 + i. Suppose -321 - 11 = -d*a. Is a composite?
False
Suppose 10 = m + l - 1, 2*m + l = 17. Let j be m + -4 + 734/(-2). Let n = -64 - j. Is n a composite number?
True
Suppose 5*g + c = -21, -4*c = 2*g - 0*c + 12. Is (g*508/8)/(-2) a composite number?
False
Let v(g) be the second derivative of -g**5/5 + 2*g**3/3 - g**2/2 + 2*g. Is v(-3) prime?
False
Let a(f) = 2*f**2 + 2*f - 3. Let y be ((-2)/6)/((-1)/(-15)). Is a(y) composite?
False
Suppose 5*d - 3*d = -5*h - 376, 3*h + 978 = -5*d. Let s = d - -367. Is s composite?
True
Let k = -8 + 7. Let y be 3 + ((-1)/k - 1). Suppose -4*f + 15 + y = 3*w, w = -f + 5. Is f prime?
True
Suppose 3*m + 0 + 18 = -3*c, 5 = -m. Is 18/2 + -1 + c a composite number?
False
Suppose -l - l + 388 = 0. Is l prime?
False
Let s be 2*1/(-2) - -7. Suppose -s - 6 = -3*t. Suppose -17 + 8 = -3*d - t*g, -5*g - 15 = -5*d. Is d a prime number?
True
Let m = -5 - -9. Suppose 3*j + 4 = 5*f + 255, 0 = m*j + 2*f - 300. Suppose 20 = -3*d + j. Is d composite?
False
Let n(d) = d**3 + 11*d**2 + 11*d + 4. Is n(-9) composite?
False
Let q = -924 + 1718. Suppose -q = -5*l - 159. Is l a prime number?
True
Let h = 209 - -284. Is h a composite number?
True
Let n(r) = -4*r**2 - 4*r + 84. Let m(k) = k**2 + k + 1. Let f(x) = 5*m(x) + n(x). Is f(0) a composite number?
False
Let u = -2903 - -4171. Suppose -4*d + u = -4*c + 384, 3*d = c + 667. Is d a composite number?
False
Let s be -3 + 3 + 2 + 1. Let g(y) = 2 + 3*y + 0 - s + 37*y**2 - 4*y. Is g(-1) a composite number?
False
Let j be (-25)/(-2)*156/65. Suppose 2*c - 142 = 4*y, -3*c + j = 3*y - 165. Is c prime?
True
Suppose 2*v = 3*p + 1094, -7*v + 3*v = -4*p - 2180. Is v composite?
False
Let u(d) = 3*d**2 - 5*d + 7. Is u(6) prime?
False
Let m(y) be the third derivative of 0*y**5 + 1/24*y**4 + 1/30*y**6 + 1/6*y**3 + 2*y**2 + 0 + 0*y. Is m(2) prime?
False
Let q = -10 + 15. Let s be q/(30/4)*150. Let n = -53 + s. Is n composite?
False
Let r(c) = -78*c + 17. Is r(-6) composite?
True
Let h = -335 - -484. Is h a prime number?
True
Let o(n) = -n**3 + 10*n**2 - n + 7. Is o(8) a composite number?
False
Suppose -4*t + 4527 = -0*i + 5*i, -4*i + 3630 = -t. Is i a prime number?
True
Let b(q) = q**2 + q + 8. Let z be b(0). Suppose -4*h = -z*h. Suppose h*a - a = -2. Is a a prime number?
True
Let l(s) = 211*s**2 + 3*s + 1. Is l(-1) a prime number?
False
Suppose 3660 = 4*b + 3*w - 10964, -2*b + w + 7322 = 0. Is b a composite number?
False
Let d(r) = 6*r - 1. Let p be d(2). Is (-2)/p - 3484/(-44) a prime number?
True
Suppose -3*n - 66 = -3*d - 0*n, -101 = -3*d - 4*n. Suppose -4 = 2*h - 6. Let c = d - h. Is c prime?
False
Suppose 3*g - 5 - 4 = -3*t, -4*t - 4 = 0. Suppose 2*b - g = -0*b. Suppose -5*x = -x + 5*o - 20, x + b*o - 2 = 0. Is x composite?
True
Is (21/(-12) + 2)*716 a composite number?
False
Let f = 925 - 518. Is f a prime number?
False
Suppose -w = -4*s - 68, 2*w = -5*s - 27 + 189. Let t = w + -45. Is t prime?
True
Suppose 3*z = -2*a + 4623, 3*z + 3*a = -0*a + 4620. Is z a prime number?
True
Suppose -35 = 4*k + 5. Let x = k - -17. Is x a prime number?
True
Let l = -3 + 3. Suppose -6*w + w = l. Is (49 + 0)/(w + 1) a composite number?
True
Suppose 0 = 4*d + 5*k + 123, 22 + 6 = -d - 4*k. Is (5/4)/((-4)/d) prime?
False
Suppose 3*b + b + 5*x = 861, -5*b - 3*x = -1060. Is b composite?
True
Let o(u) = 0 + u + 37*u**3 - u**2 + 4 - 4. Is o(1) prime?
True
Let p(w) = -w**2 + 6*w - 3. Let x be p(5). Suppose -2*c - x*z = -6, -3*c + 25 = -2*z - 3*z. Suppose c*k - 3*k = 46. Is k a prime number?
True
Let a be 1/(2 + (-10)/6). Let j be 0 - -23 - 1 - -3. Suppose a*c = 44 + j. Is c a composite number?
False
Let y(u) = 2*u**2 + 2*u - 2. Let k be y(-3). Suppose 2*z - z - k = 0. Is z composite?
True
Suppose -3*d = -5*d + 166. Is d a prime number?
True
Let m(q) = -98*q**3 - q**2 - 5*q - 11. Is m(-3) composite?
True
Let o(j) = -45*j**2 - 4*j - 1. Let p be o(3). Let m = p + 680. Is m a composite number?
True
Let a = 10 + 429. Is a a prime number?
True
Suppose 3*i = -2*w + 1957, -i + 234 = 3*w - 416. Suppose -4*n - 15 = -n, 3*m - 4*n - i = 0. Is m prime?
True
Suppose -4*j = -3*j - 861. Suppose -j = -5*h - 171. Is 3/15 + h/10 a prime number?
False
Let r(i) be the second derivative of -i**4/12 - 4*i**3/3 - 7*i**2/2 - 2*i. Let b be r(-7). Suppose u + u - 74 = b. Is u composite?
False
Is -2 + 6 - 4 - -23 composite?
False
Let n(w) = -w**3 - 11*w**2 - w + 2. Let c be n(-11). Suppose 15 + c = u. Let f = 50 - u. Is f prime?
False
Let s(f) = -10*f - 9. Let h be s(-6). Suppose h + 36 = w. Is w prime?
False
Let i(v) = 2*v**3 + 3*v**2 + 4*v - 6. Let z(m) = 6*m**3 + 9*m**2 + 11*m - 17. Let d(n) = 11*i(n) - 4*z(n). Is d(-4) a prime number?
False
Let k = 4 - 2. Suppose 2*m + k - 6 = 0. Suppose 0 = -5*q + 20, 2*b + 5*q = -m*b + 108. Is b a prime number?
False
Let w = 12 + -3. Is w composite?
True
Let k(s) = 2 + 6*s**2 - 1 - 3*s**2 + 2*s + 1. Let c be k(-2). Let x = 20 - c. Is x a composite number?
True
Let h = -8 - -2. Is (h/4)/((-9)/852) composite?
True
Let a = 7 - 0. Suppose a = -4*t + 27. Suppose 2*s - s + 110 = 2*p, p - 33 = -t*s. Is p composite?
False
Let s(c) = 599*c - 5. Is s(2) composite?
False
Suppose 0 = -3*s + 2*q + 1211, -3*s = 2*s + 5*q - 2060. Is s composite?
True
Let z be -2 + -6 + 3 + 50. Is z + -1 + -2 + -3 prime?
False
Let k(a) = 69*a - 16. Is k(7) a prime number?
True
Suppose -m = m + 66. Let o be (112/(-1))/(4 + -5). Let u = m + o. Is u prime?
True
Let x = 18 - 10. Suppose 3*m - x*m = -50. Is m a composite number?
True
Suppose -3*u - 4 = -4*u. Suppose 0 = 5*v - u*v - 69. Let s = -36 + v. Is s prime?
False
Suppose 0 = -w + 3*a - 3 - 7, -4*w = -5*a + 40. Let j be 1/5 - (-2)/w. Suppose -f + 8 + 27 = j. Is f prime?
False
Let h = 5 + 0. Suppose -4*l = -h*k - 160 - 407, 2*k = 3*l - 427. Is l prime?
False
Suppose -4*u - 156 = -5*z + 272, z - 4*u - 92 = 0. Suppose n + z = 5*n. Is n composite?
True
Suppose w = -2*h + 441, 3*w + 1130 = h + 4*h. Is h a composite number?
False
Let y(x) = -x**3 - 7*x**2 + 11*x + 8. Let q be y(-11). Suppose -q = -5*s + 4*s - 2*i, -i + 371 = s. Is s a prime number?
False
Let f(w) = w**2 - 2*w + 1. Let c be f(1). Suppose x = -c + 2. Is x + (-1)/(-1) + 11 prime?
False
Is (-2)/3*(-1788)/4 a prime number?
False
Suppose -2*t - 20 = 4*u, 6*u + 20 = 3*t + 2*u. Suppose -639 = -3*a - t*a - 3*i, i = 2*a - 420. Is a composite?
False
Suppose 3330 = 3*i + 3*k, 2*i +
|
{
"pile_set_name": "DM Mathematics"
}
|
rounded to five dps?
-0.00004
Let g(f) be the third derivative of -13*f**2 - 8161/60*f**5 - 5/8*f**4 - f**3 + 0*f + 0. Let z be g(7). Round z to the nearest one hundred thousand.
-400000
Let p = 4076.80256 + -4024.8. Let n = p - 52. What is n rounded to three decimal places?
0.003
Let l = 406588 + -124595. Let t = 281824.583 - l. Let i = t - -169. What is i rounded to two dps?
0.58
Let l = 9345602 - -1932967. Let p = l - 11278568.90200067. Let z = -0.098 + p. What is z rounded to 7 dps?
-0.0000007
Let a = -17577946 - -17577721.98409. Let t = -214.0172 - a. Let q = t + -10. What is q rounded to four dps?
-0.0013
Let v(y) = -y**3 + 4*y**2 - y - 45346655. Let f be v(0). Let o = f + 70646655. What is o rounded to the nearest one million?
25000000
Let h = -0.3991 + 0.3937223. What is h rounded to three decimal places?
-0.005
Let x = -789 - -789.00701. Let q = -6.97999 - x. What is q rounded to 0 decimal places?
-7
Let h = 17678.25 - 17629. Round h to the nearest 100.
0
Let c be 12/(0 + 2) + 46375/25 + -32. Round c to the nearest 1000.
2000
Let w = -2.067 - -348.667. What is w rounded to the nearest one hundred?
300
Let o = -122.8 + 2.8. Let z = 173112279.9999535 + -173112400. Let g = o - z. What is g rounded to five dps?
0.00005
Let i = -19.45 + 19.40474. What is i rounded to two decimal places?
-0.05
Let s = 2546 - 2948.8. Let p = 395 + s. What is p rounded to the nearest 10?
-10
Suppose -31*f + 28893358 = 450214358. Round f to the nearest one million.
-14000000
Let j = -48.8 + -687.4. Let d = j + 672. What is d rounded to zero decimal places?
-64
Let h = -147230913 - -218804913. What is h rounded to the nearest 1000000?
72000000
Let o(h) = 5*h + 43. Let v be o(-8). Suppose -5*g = v*l + 20500003, 5*g + 20499995 = 2*l + 3*l. Round g to the nearest one million.
-4000000
Let r(a) = 1066*a - 114. Let x be r(4). Let y = 2950 - x. Round y to the nearest one thousand.
-1000
Let u be ((-320614)/6)/((-11)/66). Round u to the nearest one thousand.
321000
Let v = 177436120 - -5393880. What is v rounded to the nearest 1000000?
183000000
Let x = 114176124 + -114176052.427927. Let g = x - 136.57211. Let a = g + 65. Round a to 5 decimal places.
-0.00004
Let q = 3.6 - 2.7. Let o = -0.46 + q. Let j = 7.76 + o. What is j rounded to the nearest integer?
8
Let n = 370416276276.999999721 - 370416276712. Let z = n - -435. What is z rounded to seven decimal places?
-0.0000003
Let k be (386100/546)/((-9)/64680). Round k to the nearest 1000000.
-5000000
Let c = 4985168 - -15213013. Suppose 5*x + z + c + 33251823 = 0, -42759988 = 4*x - 3*z. Round x to the nearest 100000.
-10700000
Let i = 31978 + -94978. What is i rounded to the nearest 1000?
-63000
Let y = -2727898504 - -2727898530.29999657. Let g = -26.3 + y. Round g to seven dps.
-0.0000034
Let h = 82.4426 - 1.4426. Let z = -5513 + 5593.9995. Let n = h - z. What is n rounded to four dps?
0.0005
Let c = 469 + -386. Let o = -117.225 - 0.675. Let n = o + c. Round n to zero decimal places.
-35
Let z = 1195 - 1194.999920875. What is z rounded to six dps?
0.000079
Let c = -241800 + 241802.57822. Let h = 1.92174 + c. Let d = 4.5 - h. What is d rounded to 4 decimal places?
0
Suppose 2*d = -2*h + 6, d - 2 - 3 = h. Suppose d*p - 6*p + 192 = 0. Let c = 35 - p. Round c to the nearest 10.
-60
Let v = 62526 + -40929. What is v rounded to the nearest ten thousand?
20000
Suppose 50*g = 40*g + 290070. Let i = g - 9007. What is i rounded to the nearest ten thousand?
20000
Let s = 37.3 - 36. Let d = s - 1.16. Let y = 12.06 + d. Round y to the nearest integer.
12
Let b(r) = 4*r**3 + 17*r**2 - 7*r - 71. Let p be b(-9). Let x = p + 933. What is x rounded to the nearest 10?
-610
Suppose 217040 - 89265 = -25*x. What is x rounded to the nearest ten?
-5110
Let i = 728.16 - -188.74. Let x = -916.90006187 + i. What is x rounded to five decimal places?
-0.00006
Let y(j) = 791145*j + 275. Suppose -5*b - 3 - 12 = -4*p, -2 = -2*b. Let o be y(p). What is o rounded to the nearest 100000?
4000000
Let m = -94 + 229. Let t = m + -93. Suppose -16*s = -9*s - t. Round s to the nearest 10.
10
Let u = 1087 + -1522. Let x = -516.5 - u. Round x to the nearest ten.
-80
Let d = 38.0002 - 38. Let r = -0.0597 + d. Round r to 2 decimal places.
-0.06
Let z(d) = -6657*d**3 + 24*d**2 - 21*d - 134. Let j be z(-17). What is j rounded to the nearest one hundred thousand?
32700000
Let u = -9.7 + 58.7. Let y = -48.4 + u. Let x = 0.59971 - y. What is x rounded to 4 decimal places?
-0.0003
Suppose -2*o - 46 = 3*o + b, 0 = -3*b + 12. Let d be ((-800)/(-2))/(13/(54145/o)). What is d rounded to the nearest ten thousand?
-170000
Let l = -125.672 + 125.609339. What is l rounded to 2 decimal places?
-0.06
Let g = 7420.00043625 + -7420. Round g to 5 decimal places.
0.00044
Let v = -1755610 + 716180. Round v to the nearest 100000.
-1000000
Let r = 28844.131 - 28815. What is r rounded to 1 dp?
29.1
Suppose -15*y = -19*y + 3*g + 118, -4*g - 116 = -4*y. Let o = 460 - y. Round o to the nearest 10.
430
Let j = 0 + 0.0165. Let u = -0.06696 - -2.62046. Let r = j + u. What is r rounded to one dp?
2.6
Let b = 18 - 11. Let q = 149.09 - 142.08928. Let f = q - b. What is f rounded to four dps?
0.0007
Suppose -20 = -5*y + 2*q - 8, 0 = q - 4. Let n be 2350 + (0/1)/(-1 + y). Round n to the nearest 100.
2400
Let z = 4.316 + -4.3159996355. What is z rounded to 7 decimal places?
0.0000004
Let h = -5.888 - -6.913. Round h to one decimal place.
1
Let g = -17850 + 33040. Suppose -10020 = -5*f + g. Suppose -2*z + f = -11358. Round z to the nearest one thousand.
8000
Let b = 3695985 - 9962252. Let g = b - -8806267. Round g to the nearest 1000000.
3000000
Let f = 8.794 - -0.063. Let u = -114.867 + f. Let j = u - -105. What is j rounded to one dp?
-1
Let y = 1593340.8560487 + -1593341. Let d = y + 0.144. Round d to 6 dps.
0.000049
Let y(w) = 62*w**3 - 44*w**2 - 46*w - 92. Let m be y(-39). Round m to the nearest one hundred thousand.
-3700000
Let r = -1129.9348749 + 1129.93. Round r to 4 dps.
-0.0049
Let a = 851.938247 - 851.9. What is a rounded to four dps?
0.0382
Let k = -5269 + 5268.996028. What is k rounded to 4 dps?
-0.004
Let t = 38 + 7. Suppose 3*i + 13 = -z, 6*z - z + 5*i = -t. Let v be (-9)/((z/(-80000))/(-7)). Round v to the nearest 100000.
700000
Let u(v) = v + 6. Let d(o) = -o**3 - o**2 - 6*o - 35. Let q(j) = 6*d(j) + 34*u(j). Let a be q(-4). Suppose 15*l = 10*l - a. Round l to the nearest ten.
-60
Let c = -1452 + 1451.89433. What is c rounded to 2 decimal places?
-0.11
Let d = 43.09 - 43. Let q = -0.21 + d. Let p = 0.12006 + q. What is p rounded to 5 decimal places?
0.00006
Let a = 477443681 - 477443680.609000314. Let x = 0.391 - a. Round x to 7 decimal places.
0.0000003
Let l = 59.2 - 59. Let t = l + -11.7. Let k = -10.908 - t. Round k to one dp.
0.6
Let k = -243 + 241. Let w be 5 + -7 - (-1 - k). What is w rounded to one dp?
-3
Let z = 1239.6982984 - 1239.7. Round z to 3 decimal places.
-0.002
Let q = 335 - 604. Let g = 270.33 + q. Let y = g + -1.32999949. Round y to seven dps.
0.0000005
Let z = 131.1294 + -131.31. Round z to 3 decimal places.
-0.181
Let x = 224.845 + 840.885. Let j = -1077 + x. What is j rounded to 1 dp?
-11.3
Let o = 101.059 + -101. Let a = -0.455 + o. Round a to one decimal place.
-0.4
Let s(h) = h**2 - 18*h + 36. Let r(g) = 1. Let a(f) = f + 9. Let m be a(-8). Let n(t) = m*s(t) - 6*r(t). Let u be n(15). Round u to the nearest 10.
-20
Let u = -1031.8 - -1019.8012. What is u rounded to 1 decimal place?
-12
Let s(k) = 4678016*k**2 - k - 15. Let i be s(1). What is i rounded to the nearest one million?
5000000
Let i = 128 - 128.081. Let m = i + 0.08099987. What is m rounded to 7 decimal places?
-0.0000001
Let n = 2568.03306 - 0.03306. Let p = 2685.7 - n. Let u = 128 - p. What is u rounded to 0 decimal places?
10
Let m = -0.30232 - 3.05518. What is m rounded to two decimal places?
-3.36
Let l = -1351.67193 - -0.07193. What is l rounded to the nearest one hundred?
-1400
Let v(h) = h + 13. Let s be v(63). Suppose -y - s*k = -71*k - 570010, -y = -2*k - 569996. Round y to the nearest 100000.
600000
Suppose -2*t = 3*j + 2*j - 10, -3*j + 6 = 0. Suppose -1945900000 = -29*l - t*l. Round l to the nearest one million.
67000000
Let h = -774796 + -2776930. Let l = h - -3551728.3000432. L
|
{
"pile_set_name": "DM Mathematics"
}
|
4*h**2 + 6*h**2.
9*h**2
Collect the terms in -8*z**2 - 39*z**2 + 38*z**2 + 8*z**2.
-z**2
Collect the terms in -25 - 24*a + 41 - 16.
-24*a
Collect the terms in 436*s**2 - 129*s**2 + 2*s**3 - 8*s**3 + 8*s**3.
2*s**3 + 307*s**2
Collect the terms in -12*d + 2*d + 43*d - 1 + 20*d.
53*d - 1
Collect the terms in -20*a**2 + 1 - 20565*a - 5*a**2 + 20565*a.
-25*a**2 + 1
Collect the terms in 32*k - 2*k**3 - 81*k + 49*k - 6*k**3.
-8*k**3
Collect the terms in 25*s - 111*s + 39*s + 49*s.
2*s
Collect the terms in 0 - 15*i - 21 + 46 - 25.
-15*i
Collect the terms in 847*m**2 + 7*m - 849*m**2 - 42 + 0*m.
-2*m**2 + 7*m - 42
Collect the terms in -382*v**3 + 10773 - 10773.
-382*v**3
Collect the terms in 3769117 - 3769117 - 6*j**2 + j.
-6*j**2 + j
Collect the terms in 4*u + 307*u**3 - 4*u + 88*u**3.
395*u**3
Collect the terms in 13*z**2 + 6348*z + 2*z**3 - 504*z - 13*z**2.
2*z**3 + 5844*z
Collect the terms in 4645*o**2 - 4641*o**2 - 21*o + 21*o.
4*o**2
Collect the terms in -11*s**3 + 22012*s**2 + 3*s - 22012*s**2 - 3*s.
-11*s**3
Collect the terms in -464006*w - 597 + 464007*w - 307.
w - 904
Collect the terms in 44 - 4*b + 0 + 14*b + 6*b - 16.
16*b + 28
Collect the terms in 1172*i**2 + 1221*i**2 - 3534*i**2 + 1218*i**2.
77*i**2
Collect the terms in -1649729 + 1649729 + 32*v**2.
32*v**2
Collect the terms in -3 + 6*t - 3*t + 2*t + 7 - t.
4*t + 4
Collect the terms in -458*b**3 - 441*b**3 + 925*b**3.
26*b**3
Collect the terms in -345*l + 718*l - 316*l.
57*l
Collect the terms in 350 - 350 + 423*k**3 - 90*k**3 + 489*k**3.
822*k**3
Collect the terms in 8574*b**2 - 8574*b**2 + 3*b**3.
3*b**3
Collect the terms in -3786*z**3 + 1259*z**3 + 1260*z**3 + 1260*z**3.
-7*z**3
Collect the terms in -1246*w + 19*w**3 - 2 + 1246*w.
19*w**3 - 2
Collect the terms in 30 - 17 - 15 + 356815*y - 356815*y - 6*y**3.
-6*y**3 - 2
Collect the terms in -a**2 + a**2 + 1708300*a**3 - 82*a + 82*a - 1708301*a**3.
-a**3
Collect the terms in -3 - 7*s - 3*s + 2*s - 29*s.
-37*s - 3
Collect the terms in -a - 8*a - 6*a + 6836*a**2 + 15*a - 6837*a**2.
-a**2
Collect the terms in 58 + 16*n - 112 + 57.
16*n + 3
Collect the terms in 32*x**2 - 376*x**3 - 32*x**2 + 373*x**3.
-3*x**3
Collect the terms in -12366*a**2 - 71621*a**2 + 5353*a**2.
-78634*a**2
Collect the terms in 283 + 2*k**2 + 2*k**2 + k**2 - 3*k**2.
2*k**2 + 283
Collect the terms in 11*n + 40 + 17*n**2 + 3*n - 45.
17*n**2 + 14*n - 5
Collect the terms in 2*b - 235*b**2 - 6*b + b.
-235*b**2 - 3*b
Collect the terms in -6600*h + 21158*h - 8033*h + 28046*h.
34571*h
Collect the terms in -90045*c**3 + 45027*c**3 + 45025*c**3.
7*c**3
Collect the terms in 204320 - 10*m**2 - 204320.
-10*m**2
Collect the terms in -32*y - 24*y**2 - 14*y - 5*y + 27*y**2.
3*y**2 - 51*y
Collect the terms in 24611*b**2 - 25*b**3 - 24611*b**2 + 32*b**3.
7*b**3
Collect the terms in -71*w + 393*w + 129*w.
451*w
Collect the terms in 16*w - 5827 + 5827.
16*w
Collect the terms in -531*n**2 - 476*n**2 + 1513*n**2 - 565*n**2.
-59*n**2
Collect the terms in -371 - 99*k**2 + 104*k**2 + 120 + 125 + 126.
5*k**2
Collect the terms in -12 + 5 + z**2 + 10.
z**2 + 3
Collect the terms in 4*s**2 - 3*s**2 - 60 + 7*s**3 - 16.
7*s**3 + s**2 - 76
Collect the terms in 5820 + 18855 + n + 3*n + 12688.
4*n + 37363
Collect the terms in -975*z**2 - 976*z**2 + 1946*z**2.
-5*z**2
Collect the terms in 1 + 1530*f - 3108*f + 1478*f.
-100*f + 1
Collect the terms in 2804*c**2 - 1 - 7 - 626*c**2.
2178*c**2 - 8
Collect the terms in -1593*o**2 + 511*o**2 + 577*o**2 - 4*o + 552*o**2 + 4*o.
47*o**2
Collect the terms in 0*h**2 + 0*h**2 - 9610*h - 2*h**2 + 19215*h - 9605*h.
-2*h**2
Collect the terms in -154*y + 2*y**2 + 164*y + 456*y + 424*y.
2*y**2 + 890*y
Collect the terms in -83*b - 124*b + 109*b - 12 - 135*b.
-233*b - 12
Collect the terms in 145*p**3 - 138*p**3 - 12475 + 12475.
7*p**3
Collect the terms in 5133*t**3 - 10295*t**3 + 5167*t**3 + 0 + 0.
5*t**3
Collect the terms in -27961*s + 3*s**3 + 27958*s - s**3.
2*s**3 - 3*s
Collect the terms in -5725 + 5725 - q**2 - 3*q**2.
-4*q**2
Collect the terms in 46 + 12*h**2 + 38 + 42 + 56 - 182.
12*h**2
Collect the terms in 936*l + 624*l + 638*l - 1157*l.
1041*l
Collect the terms in 165*g**2 + 33*g**2 + 342*g**2.
540*g**2
Collect the terms in n**2 + 408*n + 401*n + 78*n**3 - 809*n.
78*n**3 + n**2
Collect the terms in -122*q**2 + 7*q - 168*q**2 - 34*q.
-290*q**2 - 27*q
Collect the terms in 5 + 0 - 351*q**2 + 1011*q**2 - 341*q**2 - 391*q**2.
-72*q**2 + 5
Collect the terms in -131*c**3 - 152*c**3 - 165*c**3 + 411*c**3.
-37*c**3
Collect the terms in -6572*i**3 - 10*i**2 + 1579*i**3 + 10*i**2.
-4993*i**3
Collect the terms in 856 + 730 - 5*c**3 - 1586.
-5*c**3
Collect the terms in 9*x**2 - 1737 + 1737 + 5*x**2.
14*x**2
Collect the terms in -62881*n**3 - 62889*n**3 + 125777*n**3.
7*n**3
Collect the terms in -23861*a**2 + 45766*a**2 - 21903*a**2.
2*a**2
Collect the terms in -7*l + 210*l**2 + 12*l - 11*l.
210*l**2 - 6*l
Collect the terms in 23*g - 32*g**3 + 78*g - 101*g + 27*g**3.
-5*g**3
Collect the terms in 3680051 - 3680051 + 74*q**2.
74*q**2
Collect the terms in -60*v - 279*v - 77*v.
-416*v
Collect the terms in 40589 - p**2 + 3*p**2 - p**2.
p**2 + 40589
Collect the terms in 208*z**3 + 242*z**3 + 215*z**3 - 4 + 4 - 658*z**3.
7*z**3
Collect the terms in -4 - r - 17 - 16 - 7*r.
-8*r - 37
Collect the terms in 27*f**2 + 65*f**2 + 46*f**2 - 37*f**2.
101*f**2
Collect the terms in 59648*j + 2*j**2 - 59648*j.
2*j**2
Collect the terms in 2847*x**2 + 3059*x**2 - 5885*x**2.
21*x**2
Collect the terms in 606*p + 20 + 606*p - 1818*p + 608*p.
2*p + 20
Collect the terms in -47*c**3 + 108*c**3 - 63*c**3.
-2*c**3
Collect the terms in -514*x - 496 + 2*x**2 + 496 + 514*x.
2*x**2
Collect the terms in 2252*u**3 - 1110*u + 1110*u.
2252*u**3
Collect the terms in 1416*j - 607*j + 599*j.
1408*j
Collect the terms in 290*n**3 + 21*n**3 - 302*n**3.
9*n**3
Collect the terms in 363*c**2 - 7 + 7 - 346*c**2.
17*c**2
Collect the terms in 140*p**3 + 166*p**3 + 141*p**3 - 445*p**3.
2*p**3
Collect the terms in -30 + 73 - 17*n - 43 + 3*n.
-14*n
Collect the terms in 0 + 888*u - 903*u + 22*u + 0.
7*u
Collect the terms in 118778*v**3 + 118769*v**3 + 118777*v**3 - 356336*v**3.
-12*v**3
Collect the terms in 14*j**2 + 2*j**2 + 12*j**2 - 6*j**2.
22*j**2
Collect the terms in -1414 + 700 + 714 + 3*p.
3*p
Collect the terms in -3494*g**3 - 3490*g**3 + 6977*g**3.
-7*g**3
Collect the terms in -807*h**3 + 1374*h**3 + 1390*h**3.
1957*h**3
Collect the terms in 174450*l - 174450*l + 8*l**2 + 4*l**2 - 13*l**2.
-l**2
Collect the terms in 2*l - 27*l - 27*l + 3*l - 6 - 7*l.
-56*l - 6
Collect the terms in 23*w + 18985 - 6331 - 31*w - 6326 - 6328.
-8*w
Collect the terms in -55*r - 20*r - 48*r - 72*r.
-195*r
Collect the terms in 16 - 43*h - 17 + 1249*h + 8*h.
1214*h - 1
Collect the terms in -608 - 641 + 2*b**3 + 1121.
2*b**3 - 128
Collect the terms in -17*b**2 - 14*b**2 + 41*b**2 - 28*b**2.
-18*b**2
Collect the terms in 24*a + 2*a**2 - 93*a**3 - 2*a**2 - 24*a - 2*a**2.
-93*a**3 - 2*a**2
Collect the terms in 91*z + 173*z - 87*z.
177*z
Collect the terms in -5*v - 39*v + 9*v - 19*v.
-54*v
Collect the terms in 11 + 13 - 59*b - 17*b**2 + 8*b.
-17*b**2 - 51*b + 24
Collect the terms in 72*h**2 - 197*h**2 + 115*h**2.
-10*h**2
Collect the terms in 20164*t + 23695*t + 32535*t.
76394*t
Collect the terms in 20*y + 18*y - 66*y + 19*y.
-9*y
Collect the terms in -2810657*d + 2810657*d - d**2.
-d**2
Collect the terms in 3337 + 3333 - 13340 - 10*l + 3337 + 3333.
-10*l
Collect the terms in 34*y - 30*y + 46*y - 31*y - 24*y.
-5*y
Collect the terms in 7 - 7 - 74752*b**2.
-74752*b**2
Collect the terms in -2968*v**3 - 11302 + 11302.
-2968*v**3
Collect the terms in 104*x**2 - 1236*x**3 + 1219*x**3 - 104*x**2.
-17*x**3
Collect the terms in 81*w**3 - 2*w - 5*w**3 - 2*w + 4*w.
76*w**3
Collect the terms in -3*a**3 + 0*a**3 - 2*a - 5045*a**2 - 7249*a**2.
-3*a**3 - 12294*a**2 - 2*a
Collect the terms in 6*q**2 + 0*q**2 - 3*q**2 - 4*q**2 + 0*q**2 - 2*q**2.
-3*q**2
Collect the terms in -4702*a**2 - 4697*a**2 + 9397*a**2.
-2*a**2
Collect the terms in 1000814 - 30*b**2 - 1000814.
-30*b**2
Collect the terms in 15*n**3 + 20*n**3 + 248 - 32*n**3.
3*n**3 + 248
Collect the terms in -12*d**3 + 4*d**3 + 16*d**3 + 16*d**3 + 8*d**3.
32*d**3
Collect the terms in p**2 - 122 + 855 + 10*p**2
|
{
"pile_set_name": "DM Mathematics"
}
|
ed by g.
8
Suppose 2*r = -n + 75, -n + 4*r + 5 = -94. What is the remainder when n is divided by 28?
27
What is the remainder when (-14)/(-28) + 137/2 is divided by 18?
15
Suppose 3 = 3*w - 0. Let b be ((-85)/(-10))/(w/(-6)). Let z = -35 - b. Calculate the remainder when 30 is divided by z.
14
Let u(i) = 5*i - 3. Suppose j = -0*j. Suppose j*h - h = -32. What is the remainder when h is divided by u(4)?
15
Let l be (-4)/8*(-1 + -9). Calculate the remainder when -1 - ((-2)/(-1))/(-1) is divided by 2/7 - l/(-7).
0
Suppose 9*t = 7*t + 24. What is the remainder when 45 is divided by t?
9
Calculate the remainder when 73 is divided by 5 - 5 - -5*3.
13
Let g(t) = t**2 + 4*t - 13. What is the remainder when g(-9) is divided by 12?
8
Let h(z) = z**2. What is the remainder when h(3) is divided by 5?
4
Calculate the remainder when (55/(-20))/((-2)/48) is divided by 17.
15
Suppose -4*n + 0*p + 4*p + 104 = 0, n - 26 = -4*p. Calculate the remainder when 103 is divided by n.
25
Let b(p) = 2*p**3 + p**2 - 5*p + 6. What is the remainder when 30 is divided by b(2)?
14
Let b be -183 - (-3)/((-9)/6). Let g be (-4)/14 - b/35. Suppose -g*c = -c - 16. Calculate the remainder when 14 is divided by c.
2
Let j(i) = i**3 - 6*i**2 - 7*i. Let s be j(7). Suppose -4*o + 2*o + 16 = s. What is the remainder when 13 is divided by o?
5
Let s(g) = 36*g**2 - g. Let p be s(1). Let x = p - -24. Calculate the remainder when x is divided by 15.
14
Let j = -3 + 18. Let m = j + 9. Calculate the remainder when 45 is divided by m.
21
Suppose 0 = -3*k + 6*k - 21. What is the remainder when k is divided by 3?
1
Let f be 8*(8/(-4) + 14). What is the remainder when 30 is divided by 10/(-4)*f/(-30)?
6
Suppose 4*p + 9 + 51 = -2*v, 2*p - 4*v = -20. Let w(r) = -r**3 + 3*r**2. Calculate the remainder when w(2) is divided by (-38)/p + 6/21.
1
Let u(j) = -j**3 + 3*j**2 + 3*j + 2. Let l be u(4). Let f = l - -11. Calculate the remainder when 25 is divided by f.
7
Let m(w) = -2*w**3 + 2*w**2 - 1. Let o be m(-1). Suppose -96 = -o*k - 0*k. Suppose k = 5*r - 4*r. What is the remainder when r is divided by 17?
15
Let m = 8 + -5. Suppose 4*v - 10 = m*v. What is the remainder when v is divided by 4?
2
What is the remainder when 58 is divided by 193/13 - 26/(-169)?
13
Suppose -2*h - 2*r = -0*r - 10, 3*h + 1 = r. Suppose 14 = 4*d - 2*l, 2*d + 4*l + h = d. What is the remainder when 5 is divided by d?
2
Let x be (-16)/6*(-15)/10. Let t be x/((2 - 2) + 1). Suppose 5*y - 4*f - 12 - 8 = 0, 4*y - 52 = -t*f. Calculate the remainder when 15 is divided by y.
7
Suppose 40 = p + 3*p. Calculate the remainder when p is divided by (-152)/(-26) - 4/(-26).
4
Let d(r) = -9*r - 4. Calculate the remainder when 24 is divided by d(-2).
10
Let o(u) be the first derivative of u - 1/2*u**2 + 1. What is the remainder when o(-8) is divided by 5?
4
Let y(g) = 5*g**2 + 4*g + 3. Let p = 4 - 6. What is the remainder when 29 is divided by y(p)?
14
Let j be (1 + -2 + 1)/(-1). Suppose j = -3*a + l + 26 - 4, -2*l - 2 = 0. Let c = a + 3. Calculate the remainder when c is divided by 6.
4
Let v(b) = -b**3 + 7*b**2 - 2*b + 8. Let m be v(8). What is the remainder when 39 is divided by 4/(-10) - m/5?
11
Let g(s) = s**3 - 3*s**2 - 2*s + 4. Suppose 5*j - 6*j + 4 = 0. Calculate the remainder when 23 is divided by g(j).
11
Suppose 6*t = 5*t + 18. Calculate the remainder when t is divided by 5.
3
Let v = 20 - 12. Let t = -8 - -2. Let z = v + t. What is the remainder when 5 is divided by z?
1
Suppose 2*v + 3*i = 40, 2*v + 5*i = i + 38. Suppose 3*p - 5*o - 24 = 2*p, 0 = -5*p + 2*o + 166. Let c = p - v. What is the remainder when 21 is divided by c?
10
Let w(v) = v**2 - 3*v - 4. Calculate the remainder when 4/22 + 870/55 is divided by w(-2).
4
Suppose 97 = 4*p + 2*f + 3*f, 0 = -5*p + 2*f + 80. Suppose 5*j - 5*t + 18 + 2 = 0, j + 10 = -2*t. What is the remainder when p is divided by (j/9)/((-1)/15)?
8
Let m(g) = 3*g - 9. Let y(w) = w**2 + 3*w - 3. Let s be y(2). What is the remainder when ((-23)/3)/(3/(-18)) is divided by m(s)?
10
Let w = 2 + -1. Suppose -1 - 8 = -g. Calculate the remainder when w/(2/48) - -1 is divided by g.
7
Suppose g + 2 = 0, -f + 2*g = -0*f - 109. Calculate the remainder when f is divided by 22.
17
What is the remainder when 22 is divided by 12 - (-2 + 3 - 1)?
10
Suppose 0 = -2*u - 14 + 2. Let t(q) = -q**2 - 6*q + 2. Let j = 3 + -2. Calculate the remainder when t(u) is divided by j.
0
Suppose 4*p - 2*p = 4*j + 22, 0 = 2*j - 6. Let v(n) = n + 4. What is the remainder when p is divided by v(6)?
7
Let b = 0 - -2. Suppose 0 = 2*n - 10 + 2, 4*i + 3*n - 16 = 0. What is the remainder when b is divided by i?
0
Let x be -2 + (-5*4)/2. Let q = -3 - x. What is the remainder when ((-15)/6)/(1/(-10)) is divided by q?
7
Let k = 25 + -15. Let i(g) = -2*g**2 + 22*g + 8. What is the remainder when i(10) is divided by k?
8
Let m be (-630)/((-9)/3) - 0. Suppose -6*i = -i - m. Suppose -5*g + 47 = -2*k, 0*g - 3*k + i = 5*g. What is the remainder when 17 is divided by g?
8
Let u(x) = 2*x**2 - 8*x + 3. What is the remainder when 23 is divided by u(5)?
10
Let c(n) = n + 1. Calculate the remainder when 18 is divided by c(3).
2
Suppose 5*f - y + 2*y - 2465 = 0, 5*y - 1457 = -3*f. Let m = -352 + f. What is the remainder when 51 is divided by m/8 + 2/8?
15
Suppose 0 = 4*z - 2*z - 152. Calculate the remainder when z is divided by 16.
12
Suppose -6 = -c - 3*n + 5, -4*c + n = 8. What is the remainder when 11 is divided by 9 - (0 - 3)*c?
5
Let f = 0 - 5. Let m(v) = 3*v - 6. Let y(z) = 5*z - 12. Let p(k) = -7*m(k) + 3*y(k). Calculate the remainder when p(f) is divided by 19.
17
Calculate the remainder when (-10)/(-2) + (8 - 9) is divided by 3.
1
Calculate the remainder when 9 is divided by (-4)/2 + -2 + 6.
1
Let a = -67 - -86. Calculate the remainder when 94 is divided by a.
18
Suppose 2*r + 2*p - 425 = 7*p, 0 = -2*r - 2*p + 404. Suppose -3*t = r - 31. Let q = -26 - t. Calculate the remainder when q is divided by 11.
10
Suppose t + 18 = 3*t + 2*x, -5*x = -5*t - 5. Suppose -u = -4*d - 12, 4*u + t*d - 10 = d. Suppose u*c = c + 219. What is the remainder when c is divided by 25?
23
Suppose -5*j - 5*y + 90 = 0, -6*y = -3*j - y + 54. What is the remainder when j is divided by 4?
2
Let p = 128 - 114. What is the remainder when 39 is divided by p?
11
Suppose -5*l + 4*l = -3. Let w(t) = -t**2 + 7*t - 2. Calculate the remainder when 37 is divided by w(l).
7
Let s = 27 + -14. What is the remainder when 36 is divided by s?
10
Suppose 2*q = -2*v - q - 27, -q = 2*v + 21. What is the remainder when (-63)/(-2) + (-1)/2 is divided by 1/((v/3)/(-33))?
9
Let o(n) = -13*n - 6. Calculate the remainder when o(-3) is divided by 13.
7
What is the remainder when (8/(-20))/2 + (-432)/(-10) is divided by 12?
7
Suppose 0*i - 4 = 4*i. Let v = i + 6. Suppose -v*h + 9 + 11 = 0. What is the remainder when 11 is divided by h?
3
Let p = 7 + -2. Let l = 46 - 7. Suppose 3*r = l - 15. Calculate the remainder when r is divided by p.
3
What is the remainder when 220/8 + 2/(-4) is divided by ((-30)/8)/(3/(-8))?
7
Suppose d - 14 + 0 = 0. Calculate the remainder when 54 is divided by d.
12
Let r = -11 + 17. Let u(o) be the second derivative of o**4/6 - o**3/2 + o**2/2 - 2*o. What is the remainder when u(3) is divided by r?
4
Let g(r) = -r - 12. Let z be g(-13). Calculate the remainder when 4 is divided by (-4)/(12/(-9)*z).
1
Let s(i) = 6*i**2 + 3*i + 3. What is the remainder when 27 is divided by s(-1)?
3
Let u(d) = -d**3 + 12*d**2 + d - 3. Calculate the remainder when 71 is divided by u(12).
8
Let f be (-1 + 4)*2/3. Suppose -f*m = 5*o - 69, 2*m + 36 = o + o. What is the remainder when 28 is divided by o?
13
Suppose 0*u + 494 = 3*u - 2*l, 499 = 3*u - l. Calculate the remainder when u is divided by 34.
32
Calculate the remainder when (7 - 4) + (-3 - -75) is divided by 19.
18
Let y(q) = 2*q**3 + 10*q**2 + 2*q + 5. Calculate the remainder when y(-4) is divided by 10.
9
Let c = 10 - 7. Let u(h) = h**2 + 2*h**3 - 3*h**c - 1 - 7*h - 7*h**2 + 2. Calculate the remainder when u(-6) is divided by 11.
10
Suppose 2*q = 6, 5*k - 5*q = -10*q + 65. Calculate the remainder when 27 is divided by k.
7
What is the remainder when 63 is divided by (16/6)/((-12)/(-144))?
31
Let s(y) = -y**3 + 10*y**2 + 25*y - 10. Calculate th
|
{
"pile_set_name": "DM Mathematics"
}
|
er.
4, n, s
Suppose 0*z - 5*t = -z - 1, 5*z + 150 = -4*t. Sort 3, 5, z, -3.
z, -3, 3, 5
Let k = 1 - 0. Suppose -s + 20 = -3*o, 2*o = -4*s - 2*o. Sort -5, s, k.
-5, k, s
Let a = -2.9 - -3. Let i be (-38)/12 - (-10)/4. Sort 5, i, a.
i, a, 5
Let i(h) = -5*h + 34. Let q be i(6). Put 1, q, 3 in descending order.
q, 3, 1
Let f = 11 + -13. Sort f, -4, 0.2.
-4, f, 0.2
Let z = -0.1 - 0.4. Suppose -2*v + 17 = -5*i - 3, 0 = -5*v + 5*i + 20. Let h = -241 - -1931/8. Put h, v, z in descending order.
h, v, z
Let r be 3 - (6/3 - 0). Let c be (6 + r + -1)/2. Suppose w + c*w + 4 = 0. Put 1, 3, w in decreasing order.
3, 1, w
Suppose 3*c = 3*m + 9, -c - 21 = -4*c - 3*m. Suppose -4 = f - c*f. Let v(a) = -a + 1. Let s be v(f). Sort -1, 4, s in increasing order.
-1, s, 4
Suppose 0 = -5*s + 25, -2*y = -3*s - s + 20. Sort -2, y, 9 in descending order.
9, y, -2
Let d = -0.19 + -0.01. Let q = -2.55 + -1.53. Let v = q + 0.08. Sort d, v, 0 in decreasing order.
0, d, v
Let j = -2/459 - -956/8721. Put -4, j, -0.1 in decreasing order.
j, -0.1, -4
Let f be (-8 - (-120)/18)/((-46)/3). Put f, 2, 4 in increasing order.
f, 2, 4
Suppose o + 6 = 2*w - o, -2*w - 18 = 4*o. Suppose 2*f + 3*g - 10 = 3*f, 0 = -2*f - 3*g + 16. Put 4, f, w in increasing order.
w, f, 4
Let l = -0.03 - -0.43. Suppose 5*p = 6*f - 3*f - 21, 0 = -4*p. Sort f, l, -2 in decreasing order.
f, l, -2
Let x = 15 + -11. Let a = 334 + -335. Sort x, 0, a in decreasing order.
x, 0, a
Suppose -n + 7 = d, -3*n - 4*d + 25 = d. Suppose 4*k + n*u - 5 = 4*u, 0 = 2*k - 5*u + 25. Let y = 2 + k. Put -3, y, 5 in descending order.
5, y, -3
Suppose 0 = -j - 0*j - 2. Let h be j - ((-4)/18 + -2). Let g = -26 + 25.7. Put g, h, 2 in ascending order.
g, h, 2
Suppose -20*g + 9*g = 0. Let a(o) = o + 4. Let x be a(0). Put x, g, -3 in increasing order.
-3, g, x
Let o = 2 - -7. Let c be (-36)/5 + 9/45. Let i = c + o. Sort -4, 4, i in descending order.
4, i, -4
Let x = -2 + -1. Let o = -40 - -45. Sort 3, o, x in ascending order.
x, 3, o
Let y = 3.7 - 4. Let h(n) = -5*n**2 - 7*n - 3. Let m be h(-6). Let l = -561/4 - m. Sort 5, y, l in ascending order.
y, l, 5
Let m = 23 - 22.8. Sort 3, -0.05, m.
-0.05, m, 3
Suppose -2*b = -3*c + 8*c + 15, -2*c + 42 = -4*b. Sort -5, -4, b, 3 in ascending order.
b, -5, -4, 3
Let s be 6 + -8 + (-14)/(-6). Let d = 8 + -1. Let h = -2 + d. Sort s, 3, h in descending order.
h, 3, s
Let h = 0.043 - -0.037. Sort h, 2/5, -0.5, -1 in decreasing order.
2/5, h, -0.5, -1
Suppose -2*z + 3*a + 2 + 12 = 0, -a = -2*z + 6. Let s be 162/8 - 4/16. Suppose -3*d - 2*n + 27 = 7, -4*n = d - s. Sort z, -1, d in ascending order.
-1, z, d
Let g be (-21)/(1 - 4/2). Let w be g/12 + 4/16. Sort -4, 1, w in increasing order.
-4, 1, w
Suppose l - 2*s + 1 = 0, 2*l - s - s = -6. Sort 2, -1, l.
l, -1, 2
Let g be 28/(-6) + (-2)/(-3). Let n be 3/(-2)*(-8)/6. Let v be 1/(-2)*(n - -2). Put g, 2/5, v in ascending order.
g, v, 2/5
Let g = 0.8 - 0.4. Let l(d) = d**2 - 10*d - 42. Let p be l(-3). Put g, 4, p in decreasing order.
4, g, p
Let y(c) = -c + 1. Let h be y(-3). Put h, 0.3, 1/9, -1/4 in increasing order.
-1/4, 1/9, 0.3, h
Let g be 0 + (1 - 6/3). Let x be g/(-1) - (-1 + 1). Suppose 0*t = 4*t + 12. Sort t, 4, x in ascending order.
t, x, 4
Let f = 1.5 + -2.22. Let v = f + 0.02. Let b = -2.3 + v. Put 4/5, 4/7, b in descending order.
4/5, 4/7, b
Let r = 4.6 - -0.4. Let s = -3.1 + 3. Sort -2/5, s, r in decreasing order.
r, s, -2/5
Let k = 5460/43 - 127. Put -5, -1/6, k in descending order.
k, -1/6, -5
Suppose -4 = -5*c - 29. Suppose -5*u = 2*x + 8, 2*x + 6*u + 8 = 2*u. Sort -1, x, c in increasing order.
c, x, -1
Let k = -403 - -403.1. Let o(a) = -2*a + 1. Let p be o(4). Put 0, k, p in ascending order.
p, 0, k
Let p(v) = -v**3 - v**2 - 3. Let u be p(0). Let c = 5 + -3. Suppose c = 2*g - 2. Sort g, 3, u in decreasing order.
3, g, u
Let k = -25 - -12. Sort 1, k, 3, -5 in increasing order.
k, -5, 1, 3
Suppose 5*k + 4*o - 2*o + 32 = 0, 3*k + o = -19. Sort k, -5, 4 in descending order.
4, -5, k
Let i = 2.43 + -0.43. Sort 4, i, 11, -4 in decreasing order.
11, 4, i, -4
Let g = -1.2 + 1. Let q = -0.1 - 0.2. Suppose -30 = -2*m + 5*u, 2*m - 3*u - 22 = -0*m. Put q, m, g in descending order.
m, g, q
Let n be -1*(-2 + 1) - 2. Let i be n/(-2)*(-4)/9. Sort i, -4, -5 in descending order.
i, -4, -5
Let a(j) = j**3 + 5*j**2 + 2*j + 4. Let r be a(-5). Let y(s) = -s**2 + 6*s + 5. Let h be y(6). Put r, -4, h in descending order.
h, -4, r
Let n be 15/(-6)*(-3 - (4 + -9)). Sort 1, n, -12.
-12, n, 1
Let z = 0 - 0. Suppose z = -4*o + 5 - 25. Suppose 4*l + 18 = 3*i, -3*i + l + 6 = -3. Put 5, o, i in descending order.
5, i, o
Let b be (-2)/(-2*3/(-12)). Let d be ((-1)/(-2))/(6/12). Put b, -3, d in descending order.
d, -3, b
Let i = -39/2 - -19. Let s be (3 + -2)*4/14. Sort s, -3, i in ascending order.
-3, i, s
Let y = 1.9 + -1.4. Let l be 1 + -3 - (-4)/3. Sort -4, y, l in descending order.
y, l, -4
Let b(i) be the second derivative of -7*i**3/6 + 2*i. Let v be b(9). Let g be 2/(-6) - 12/v. Put -0.2, -3/7, g in decreasing order.
g, -0.2, -3/7
Suppose -9*m + 10*m = 5. Put m, -5, -2 in ascending order.
-5, -2, m
Let f(t) = t + 11. Let h be -1*(3*4)/2. Let a be f(h). Suppose 0 = -4*r + 5*r - 1. Put r, -1, a in increasing order.
-1, r, a
Let t(g) = -g**3 - 9*g**2 + 9*g + 1. Let k be t(-10). Let n = -6 + k. Suppose 0 = -3*j + 6, -r + 14 = r + n*j. Sort 4, r, 0.
0, r, 4
Let f be (-11 + 1)/((-2)/2). Let o be (f/(-3))/(2/(-3)). Let p(n) = -n**2 + 7*n - 3. Let g be p(7). Sort 3, g, o in ascending order.
g, 3, o
Let q(n) = n**2 + n - 1. Let p be q(-2). Let s = -23 - -22. Sort s, p, -8 in increasing order.
-8, s, p
Let y = -155/8 + 335/16. Let d = -107619/7 - -1722127/112. Let z = d - y. Sort z, -2/5, -4 in descending order.
z, -2/5, -4
Let y = 13 + -12.7. Sort y, 4, 3.
y, 3, 4
Suppose x + 1 = -a, 2 = -a + 4*x + 6. Sort -3, a, 4 in decreasing order.
4, a, -3
Let v be 4 + -1 - 42/6. Sort -1, v, -3 in descending order.
-1, -3, v
Let k be (-1011)/(-9) + 4/6. Let f = 58 - k. Let s be f/20 - (-2)/(-8). Put -0.5, s, 0 in increasing order.
s, -0.5, 0
Let t be (-18)/(-4)*23/2. Let l = -52 + t. Put -3, l, 4 in ascending order.
-3, l, 4
Let a = -11.6 + 13. Let x = -1 + a. Sort 1, 5, x.
x, 1, 5
Let r be 3/(-4 - 41/(-2)). Put 5, r, 0.3 in descending order.
5, 0.3, r
Let p = 14 - 16.4. Let w = p + 2. Sort 2/7, w, 3/7 in decreasing order.
3/7, 2/7, w
Let u(c) = c**2 + 12*c - 1. Let v be u(-12). Sort -4, 4, v.
-4, v, 4
Let m(f) = f**3 - 6*f**2 + 6*f - 5. Let y be m(5). Sort -5, y, 4, -4 in decreasing order.
4, y, -4, -5
Let x = 0.2 + 0.3. Let n = -42 - -37. Sort x, 0.4, n in descending order.
x, 0.4, n
Let u(i) = 3*i**2. Let b = -4 + 3. Let v be u(b). Suppose v*a + 9 = -3. Sort -1, 4, a in ascending order.
a, -1, 4
Let m(s) = -s + 11. Let w be m(6). Let y(c) = 6 - 3 + c**2 + 1. Let h be y(0). Sort w, h, -5 in decreasing order.
w, h, -5
Let y = 200 + -210. Put -1, y, 4 in increasing order.
y, -1, 4
Suppose -13*s = -10*s - 6. Sort 6, 5, s.
s, 5, 6
Suppose -2*h + 6*h - 12 = 0. Suppose -3*m - 2*c = -310, 3*m + m - c - 428 = 0. Let o be (-2)/(-11) - m/(-22). Sort o, -3, h in ascending order.
-3, h, o
Let q = -1195.45 - -182.36. Let h = -1009 - q. Let s = h + -0.09. Put -1/7, s, 1 in increasing order.
-1/7, 1, s
Let w = -17.08 + 17. Put 2, 0.4, w in descending order.
2, 0.4, w
Let v be (5 + -8)/54*(5 - 1). Let m = 1.2 + -1.7. Sort v, m, -15/7 in ascending order.
-15/7, m, v
Let i = -2 + 2.6. Put i, -3, -0.4 in descending order.
i, -0.4, -3
Suppose 5*f = 5*n - 35, -2*n - 3*n = -4*f - 30. Suppose 2*i = -4*g - 3*i - 4, -3*i = 5*g + 5. Put 4, g, f in decreasing order.
4, g, f
Suppose 4*g - 2*i - 12 = 0, 2 = -g + 4*g + 2*i. Suppose -16 = -0*s - 5*s + g*n, -2*n + 2 = 4*s. Suppose m = s + 2. Sort m, -1, -5 in descending order.
m, -1, -5
Let a = 4 - 4.5. Suppose 5*n = -3*u + 6, 3 = 2*n - 0*n + u. Let i = 4 + -3.5. Put i, n, a in ascending order.
a, i, n
Let n be (-2 - 6) + 2*1. Let x be 2 + ((-63)/n)/(-3). Sort 3, -2/13, x in descending order.
3, -2/13, x
Suppose -2*l + 0 + 1 = b, -2*b = 2*l - 6. Let n(r) be the second derivative of r**3/6 - 2*r. Let h be n(1). Sort -3, h, l in ascending order.
-3, l, h
Let o = -46 - -49. Sort o, 8, 2 in decreasing order.
8, o, 2
Let y = -3 - -5. Let z be (0 - 2)/((-4)/2). Let s = z
|
{
"pile_set_name": "DM Mathematics"
}
|
15
Calculate the highest common divisor of 2765 and 105.
35
What is the greatest common divisor of 576 and 3888?
144
Calculate the highest common divisor of 1837 and 835.
167
Calculate the highest common divisor of 474 and 79.
79
What is the greatest common divisor of 8 and 9064?
8
What is the greatest common factor of 40 and 160?
40
Calculate the highest common factor of 35 and 510.
5
Calculate the greatest common factor of 27 and 135.
27
What is the highest common divisor of 75 and 1245?
15
Calculate the highest common divisor of 244 and 3477.
61
What is the highest common factor of 12 and 452?
4
What is the highest common divisor of 465 and 15?
15
Calculate the highest common divisor of 130 and 14300.
130
What is the highest common divisor of 3732 and 96?
12
Calculate the highest common divisor of 785 and 40.
5
Calculate the highest common divisor of 1566 and 348.
174
What is the greatest common divisor of 19 and 1387?
19
Calculate the greatest common factor of 26 and 286.
26
What is the highest common divisor of 3 and 81?
3
Calculate the greatest common divisor of 155 and 2325.
155
What is the highest common factor of 363 and 33?
33
Calculate the highest common divisor of 448 and 8.
8
What is the greatest common divisor of 300 and 165?
15
Calculate the greatest common divisor of 208 and 962.
26
What is the greatest common factor of 16 and 72?
8
Calculate the greatest common divisor of 17 and 493.
17
Calculate the greatest common divisor of 208 and 3796.
52
Calculate the highest common divisor of 24 and 7.
1
What is the greatest common factor of 9299 and 51?
17
What is the greatest common divisor of 88 and 66?
22
Calculate the highest common factor of 17 and 2941.
17
Calculate the greatest common factor of 56 and 378.
14
Calculate the highest common factor of 116 and 4292.
116
What is the greatest common factor of 165 and 45?
15
What is the greatest common divisor of 261 and 15921?
261
What is the greatest common divisor of 22 and 4631?
11
Calculate the greatest common factor of 15043 and 98.
49
What is the greatest common divisor of 108 and 9?
9
Calculate the highest common factor of 550 and 50.
50
What is the highest common divisor of 2592 and 378?
54
Calculate the greatest common factor of 13 and 234.
13
Calculate the highest common divisor of 3618 and 54.
54
Calculate the highest common divisor of 2695 and 110.
55
Calculate the highest common divisor of 2 and 2.
2
What is the greatest common divisor of 15 and 255?
15
What is the highest common factor of 39 and 1131?
39
Calculate the greatest common divisor of 12359 and 68.
17
Calculate the highest common divisor of 96 and 32.
32
What is the greatest common divisor of 4 and 26?
2
Calculate the greatest common factor of 874 and 950.
38
What is the highest common divisor of 34908 and 12?
12
Calculate the greatest common divisor of 525 and 21.
21
Calculate the greatest common factor of 133 and 836.
19
What is the greatest common factor of 176 and 11?
11
Calculate the greatest common factor of 2176 and 68.
68
What is the highest common divisor of 7 and 21?
7
Calculate the highest common divisor of 135 and 40.
5
What is the greatest common factor of 80 and 640?
80
What is the highest common factor of 64 and 4288?
64
What is the greatest common divisor of 9495 and 422?
211
What is the greatest common factor of 1928 and 8?
8
What is the highest common divisor of 4 and 10?
2
Calculate the greatest common factor of 1472 and 46.
46
Calculate the highest common divisor of 24 and 24.
24
What is the greatest common divisor of 109 and 2?
1
What is the highest common factor of 45 and 3735?
45
What is the greatest common factor of 1178 and 124?
62
Calculate the highest common factor of 445 and 9523.
89
What is the greatest common factor of 84 and 1620?
12
Calculate the greatest common factor of 48 and 368.
16
Calculate the greatest common factor of 297 and 33.
33
Calculate the highest common factor of 26 and 65.
13
What is the greatest common factor of 15606 and 18?
18
Calculate the greatest common divisor of 6220 and 40.
20
What is the greatest common factor of 7 and 4?
1
What is the highest common divisor of 79 and 22357?
79
Calculate the highest common divisor of 56 and 8.
8
What is the highest common factor of 23568 and 4?
4
Calculate the highest common factor of 192 and 3.
3
What is the highest common factor of 2219 and 7925?
317
What is the highest common divisor of 35009 and 52?
13
What is the highest common factor of 48 and 3792?
48
Calculate the greatest common divisor of 12 and 192.
12
Calculate the greatest common divisor of 798 and 126.
42
What is the highest common divisor of 184 and 1679?
23
Calculate the greatest common divisor of 4443 and 3.
3
What is the highest common factor of 22 and 5962?
22
What is the highest common factor of 663 and 459?
51
Calculate the greatest common divisor of 36 and 492.
12
Calculate the highest common factor of 63 and 14.
7
What is the highest common divisor of 10 and 8?
2
Calculate the highest common divisor of 40 and 1808.
8
What is the greatest common divisor of 250 and 640?
10
Calculate the highest common factor of 350 and 735.
35
Calculate the highest common factor of 77 and 4.
1
Calculate the greatest common factor of 22740 and 60.
60
What is the highest common divisor of 1582 and 14?
14
What is the greatest common factor of 15 and 1?
1
What is the greatest common divisor of 123 and 3?
3
What is the highest common divisor of 166 and 21746?
166
Calculate the greatest common factor of 6272 and 364.
28
Calculate the greatest common factor of 30 and 2190.
30
What is the greatest common factor of 1573 and 13?
13
What is the highest common factor of 7696 and 40?
8
What is the greatest common divisor of 585 and 135?
45
What is the greatest common divisor of 47 and 47?
47
Calculate the highest common divisor of 46 and 5566.
46
Calculate the highest common factor of 30 and 470.
10
Calculate the highest common divisor of 136 and 578.
34
What is the greatest common factor of 564 and 12?
12
Calculate the greatest common divisor of 55 and 11.
11
What is the greatest common factor of 69 and 3?
3
What is the highest common divisor of 110 and 242?
22
Calculate the greatest common divisor of 26 and 598.
26
Calculate the greatest common divisor of 77 and 33.
11
What is the greatest common divisor of 1157 and 13?
13
What is the greatest common factor of 357 and 147?
21
What is the highest common divisor of 63 and 36?
9
What is the highest common divisor of 185 and 65?
5
What is the highest common divisor of 264 and 1104?
24
What is the highest common factor of 418 and 6574?
38
What is the highest common divisor of 7 and 896?
7
Calculate the greatest common divisor of 64 and 3.
1
Calculate the highest common factor of 14194 and 47.
47
Calculate the greatest common divisor of 35098 and 138.
46
What is the greatest common divisor of 32487 and 51?
51
What is the greatest common divisor of 311 and 2?
1
Calculate the greatest common factor of 1298 and 22.
22
Calculate the highest common divisor of 28 and 112.
28
What is the greatest common factor of 144 and 132?
12
Calculate the highest common divisor of 120 and 60.
60
Calculate the greatest common factor of 4284 and 108.
36
Calculate the greatest common divisor of 1769 and 1891.
61
Calculate the highest common factor of 147 and 33.
3
What is the greatest common factor of 39 and 624?
39
Calculate the highest common divisor of 48 and 60.
12
What is the highest common factor of 108 and 1088?
4
What is the greatest common divisor of 4828 and 68?
68
Calculate the greatest common divisor of 100 and 320.
20
What is the highest common factor of 513 and 2889?
27
What is the greatest common divisor of 5 and 1035?
5
What is the greatest common divisor of 3383 and 5174?
199
Calculate the highest common divisor of 39 and 1209.
39
What is the highest common divisor of 98 and 112?
14
What is the greatest common divisor of 28 and 1470?
14
What is the highest common divisor of 588 and 12?
12
Calculate the greatest common divisor of 190 and 684.
38
Calculate the highest common factor of 160 and 384.
32
Calculate the greatest common divisor of 154 and 42.
14
What is the highest common factor of 15 and 285?
15
Calculate the highest common f
|
{
"pile_set_name": "DM Mathematics"
}
|
36998, -1004392?
n**2 - 167405*n + 2
What is the f'th term of 439, 786, 1133, 1480, 1827, 2174?
347*f + 92
What is the f'th term of -364, -1539, -3530, -6337, -9960?
-408*f**2 + 49*f - 5
What is the z'th term of -1, 10, 25, 44, 67, 94, 125?
2*z**2 + 5*z - 8
What is the w'th term of -48092, -96188, -144282, -192374, -240464, -288552?
w**2 - 48099*w + 6
What is the w'th term of -9989, -9987, -9987, -9989?
-w**2 + 5*w - 9993
What is the l'th term of 6806, 27220, 61258, 108932, 170254, 245236?
2*l**3 + 6800*l**2 + 4
What is the v'th term of 18929, 18927, 18921, 18911, 18897?
-2*v**2 + 4*v + 18927
What is the w'th term of 1902, 5203, 10714, 18441, 28390, 40567?
w**3 + 1099*w**2 - 3*w + 805
What is the y'th term of -30794, -61589, -92384?
-30795*y + 1
What is the b'th term of 108, 1105, 3816, 9099, 17812?
143*b**3 - b**2 - b - 33
What is the y'th term of 1472, 5863, 13162, 23363, 36460, 52447?
-y**3 + 1460*y**2 + 18*y - 5
What is the u'th term of 2194, 8796, 19806, 35224, 55050, 79284, 107926?
2204*u**2 - 10*u
What is the q'th term of 684654, 1369306, 2053958?
684652*q + 2
What is the o'th term of -376, -1685, -3924, -7099, -11216, -16281?
-o**3 - 459*o**2 + 75*o + 9
What is the k'th term of -948, -952, -930, -876, -784, -648, -462, -220?
k**3 + 7*k**2 - 32*k - 924
What is the q'th term of 110845, 110842, 110839?
-3*q + 110848
What is the b'th term of -16322, -32634, -48946, -65258, -81570, -97882?
-16312*b - 10
What is the n'th term of -159338, -159339, -159340, -159341, -159342, -159343?
-n - 159337
What is the d'th term of -1449, -1409, -1369?
40*d - 1489
What is the f'th term of 179707, 359442, 539179, 718918, 898659, 1078402?
f**2 + 179732*f - 26
What is the o'th term of -20549, -20586, -20623, -20660, -20697?
-37*o - 20512
What is the t'th term of 26, 173, 572, 1349, 2630, 4541, 7208?
21*t**3 + 5
What is the s'th term of -406, -830, -1266, -1720, -2198, -2706?
-s**3 - 417*s + 12
What is the c'th term of 4883, 4868, 4843, 4802, 4739?
-c**3 + c**2 - 11*c + 4894
What is the s'th term of -1317, -1489, -1661, -1833, -2005, -2177?
-172*s - 1145
What is the j'th term of 115, 587, 1379, 2491, 3923?
160*j**2 - 8*j - 37
What is the c'th term of 174, 296, 424, 558, 698, 844, 996?
3*c**2 + 113*c + 58
What is the y'th term of -19501, -19508, -19521, -19540, -19565, -19596, -19633?
-3*y**2 + 2*y - 19500
What is the u'th term of -164, -406, -804, -1358, -2068?
-78*u**2 - 8*u - 78
What is the m'th term of 507, 305, 99, -111, -325, -543, -765?
-2*m**2 - 196*m + 705
What is the c'th term of -41215, -82412, -123611, -164812, -206015?
-c**2 - 41194*c - 20
What is the u'th term of 13006, 12962, 12918, 12874?
-44*u + 13050
What is the n'th term of -211, -1686, -5707, -13552, -26499, -45826?
-213*n**3 + 5*n**2 + n - 4
What is the z'th term of -891, -815, -739, -663, -587, -511?
76*z - 967
What is the f'th term of 18214, 36386, 54558, 72730, 90902, 109074?
18172*f + 42
What is the g'th term of -80, -102, -124, -146?
-22*g - 58
What is the g'th term of -41015, -82034, -123043, -164036, -205007?
g**3 - g**2 - 41023*g + 8
What is the m'th term of 44101, 176418, 396947, 705688, 1102641, 1587806, 2161183?
44106*m**2 - m - 4
What is the v'th term of 131, 447, 959, 1667, 2571, 3671?
98*v**2 + 22*v + 11
What is the c'th term of -664, -1379, -2126, -2899, -3692, -4499?
c**3 - 22*c**2 - 656*c + 13
What is the p'th term of 25, -280, -783, -1478, -2359, -3420?
p**3 - 105*p**2 + 3*p + 126
What is the z'th term of 603, 4911, 16599, 39357, 76875, 132843, 210951, 314889?
615*z**3 + 3*z - 15
What is the l'th term of 5559, 22079, 49619, 88185, 137783, 198419?
l**3 + 5504*l**2 + l + 53
What is the n'th term of -157, -263, -415, -625, -905?
-2*n**3 - 11*n**2 - 59*n - 85
What is the g'th term of -34705, -34717, -34735, -34759?
-3*g**2 - 3*g - 34699
What is the z'th term of -2652, -5378, -8104, -10830, -13556, -16282?
-2726*z + 74
What is the s'th term of 3421, 6773, 10125, 13477, 16829?
3352*s + 69
What is the y'th term of -4015, -7997, -11967, -15925, -19871?
6*y**2 - 4000*y - 21
What is the i'th term of 607925, 1215849, 1823773, 2431697?
607924*i + 1
What is the f'th term of -502, 596, 1692, 2786?
-f**2 + 1101*f - 1602
What is the a'th term of -2861, -2648, -2073, -956, 883, 3624, 7447, 12532?
30*a**3 + a**2 - 2892
What is the r'th term of 30, -164, -340, -504, -662, -820, -984, -1160?
-r**3 + 15*r**2 - 232*r + 248
What is the f'th term of -2218, -5064, -7910, -10756, -13602, -16448?
-2846*f + 628
What is the l'th term of 1401346, 2802690, 4204034, 5605378, 7006722, 8408066?
1401344*l + 2
What is the r'th term of -24, -32, -14, 54, 196, 436, 798?
4*r**3 - 11*r**2 - 3*r - 14
What is the k'th term of -163, -362, -627, -988, -1475, -2118, -2947, -3992?
-5*k**3 - 3*k**2 - 155*k
What is the d'th term of 4833, 4846, 4867, 4896, 4933, 4978?
4*d**2 + d + 4828
What is the v'th term of -2738, -5471, -8204, -10937?
-2733*v - 5
What is the r'th term of -281, -271, -257, -239?
2*r**2 + 4*r - 287
What is the o'th term of 4076, 4134, 4192, 4250, 4308, 4366?
58*o + 4018
What is the t'th term of 90, 603, 1948, 4527, 8742, 14995, 23688?
67*t**3 + 14*t**2 + 2*t + 7
What is the t'th term of -1212, -1183, -1134, -1065, -976, -867?
10*t**2 - t - 1221
What is the p'th term of -8014, -16022, -24030?
-8008*p - 6
What is the p'th term of -17, -101, -225, -377, -545, -717?
2*p**3 - 32*p**2 - 2*p + 15
What is the c'th term of 124, 126, 150, 196?
11*c**2 - 31*c + 144
What is the v'th term of 73, 273, 479, 691, 909, 1133?
3*v**2 + 191*v - 121
What is the t'th term of 746, 750, 750, 746, 738?
-2*t**2 + 10*t + 738
What is the b'th term of -356, -651, -888, -1067, -1188, -1251, -1256?
29*b**2 - 382*b - 3
What is the x'th term of 2728, 5464, 8200, 10936, 13672, 16408?
2736*x - 8
What is the f'th term of -74896, -74910, -74934, -74968, -75012, -75066?
-5*f**2 + f - 74892
What is the w'th term of 305436, 305441, 305456, 305487, 305540, 305621?
w**3 - w**2 + w + 305435
What is the i'th term of -88, -115, -140, -163?
i**2 - 30*i - 59
What is the p'th term of -634, -2576, -5812, -10342?
-647*p**2 - p + 14
What is the d'th term of -672872, -1345745, -2018618?
-672873*d + 1
What is the l'th term of -734, -715, -686, -647, -598?
5*l**2 + 4*l - 743
What is the d'th term of -993, -1004, -1029, -1074, -1145, -1248, -1389?
-d**3 - d**2 - d - 990
What is the j'th term of 497, 965, 1405, 1817, 2201, 2557?
-14*j**2 + 510*j + 1
What is the a'th term of -4021, -8039, -12057, -16075, -20093?
-4018*a - 3
What is the p'th term of -31, 362, 1437, 3536, 7001, 12174?
57*p**3 - p**2 - 3*p - 84
What is the j'th term of -1061, -2154, -3247, -4340?
-1093*j + 32
What is the v'th term of -1080, -2149, -3216, -4287, -5368?
-v**3 + 7*v**2 - 1083*v - 3
What is the k'th term of -135008, -135005, -135002?
3*k - 135011
What is the g'th term of 95346, 190694, 286042, 381390, 476738, 572086?
95348*g - 2
What is the u'th term of -6010, -11528, -17058, -22606, -28178, -33780, -39418, -45098?
-u**3 - 5511*u - 498
What is the w'th term of -13378, -26687, -39996, -53305, -66614?
-13309*w - 69
What is the j'th term of -8, -6, -6, -8?
-j**2 + 5*j - 12
What is the f'th term of -40509, -81004, -121491, -161970?
4*f**2 - 40507*f - 6
What is the n'th term of -15899, -31877, -47933, -64067?
-39*n**2 - 15861*n + 1
What is the q'th term of -20, -38, -54, -62, -56, -30, 22, 106?
q**3 - 5*q**2 - 10*q - 6
What is the i'th term of 954, 3792, 8520, 15138, 23646?
945*i**2 + 3*i + 6
What is the z'th term of 32, 552, 1072?
520*z - 488
What is the r'th term of -1061, -2145, -3255, -4403, -5601, -6861, -8195, -9615?
-2*r**3 - r**2 - 1067*r + 9
What is the q'th term of -713315, -713329, -713361, -713417, -713503, -713625?
-q**3 - 3*q**2 + 2*q - 713313
What is the o'th term of 2443, 2458, 2473?
15*o + 2428
What is the o'th term of 6200, 12104, 18008, 23912, 29816, 35720?
5904*o + 296
What is the t'th term of -125, -255, -403, -569?
-9*t**2 - 103*t - 13
What is the o'th term of 53101, 53118, 53135, 53152, 53169?
17*o + 53084
What is the t'th term of -6413, -27722, -63237, -112958, -176885, -255018, -347357?
-7103*t**2 + 690
What is the n'th term of 1309, 1401, 1497, 1603, 1725, 1869, 2041?
n**3 - 4*n**2 + 97*n + 1215
What is the a'th term of -278, -473, -652, -815, -962, -1093
|
{
"pile_set_name": "DM Mathematics"
}
|
(z) = 19*z + 6. Suppose -9*p + d = -6*p + 7, -2*p - d = 8. Give s(p).
-51
Let m(i) be the first derivative of i**4/12 - 5*i**3/6 - i**2 - 7*i - 43. Let a(o) be the first derivative of m(o). Calculate a(7).
12
Suppose -3*d = -3, 5*z + 4*d + 11 = 10*z. Let q(x) = 5*x - 13*x + 5*x + 3. Calculate q(z).
-6
Let x(s) be the first derivative of -9*s - 4*s**2 - 6 + 5/3*s**3 + 1/4*s**4. Let w(y) = -2*y. Let u be w(3). Calculate x(u).
3
Let k(w) = 2*w + 9. Let n(q) = -2*q + 4. Let h be n(0). Suppose -1 = 3*l - h*i - 10, 0 = l + 2*i + 7. Let x = l + -5. Give k(x).
-3
Let d(v) = 1 - 5*v**2 + 5*v - v - 3*v. Suppose 3*f = 2*f + 2. Suppose -s = f*s + 3. Calculate d(s).
-5
Let g(k) = -2*k**2 + 6*k. Suppose 24*r = 25*r + 5, -4*y + 44 = -4*r. Determine g(y).
-36
Let t(x) be the third derivative of x**4/24 + x**3/3 - x**2. Let s(v) = v**3 - 9*v**2 - 28*v + 61. Let m be s(11). Give t(m).
-3
Suppose -2*p - 1 = -0*r + 3*r, 0 = -4*p + 16. Let k be 0/(2 + 0 + r). Let d(q) be the first derivative of q**4/4 - q**2/2 - 5*q - 9. Give d(k).
-5
Suppose -2*k + 1 = -k. Suppose -4*f + k + 11 = 0. Let x(j) = 9*j**2 + 2*j - 4*j + f*j. Calculate x(-1).
8
Let i(w) = -119*w + 2*w**3 + 6*w**2 - 3*w**3 + 120*w - 1. Let a = 15 - 10. Let q = a - -1. Calculate i(q).
5
Let y(j) = -2*j. Let b = -23 - -28. Let q = 7 - b. Calculate y(q).
-4
Let i(u) = 3*u**2 - 8*u - 4. Let c(h) = -3*h**2 + 10*h + 4. Let n(w) = -5*c(w) - 6*i(w). Give n(3).
-29
Let l(i) = -3*i**2 - 11*i - 71. Let t(r) = -r**2 - 4*r - 24. Let y(g) = -3*l(g) + 8*t(g). Give y(0).
21
Let r(t) = t**3 - 4*t**2 + 4*t - 2. Suppose 0 = -5*h, -9 = -l - 2*h - h. Let m = 10 - l. Let p(x) = 3*x. Let n be p(m). What is r(n)?
1
Let t(x) = x**3 + 4*x**2 - 7*x + 3. Let m(c) = c**2 + 16*c + 42. Let g be m(-12). Calculate t(g).
-27
Let d(h) = h - 1. Suppose 28*b - 8*b = 200. Determine d(b).
9
Let x be 9*(-1)/(-3) + 3. Suppose -n + x*n + 10 = -5*k, 2 = 4*k - n. Suppose 4*h - 20 = k, 4*c + h - 5*h = -32. Let m(l) = l**2 - 2. Give m(c).
7
Let d be 0 + -2 + 1 - 3. Let g = -1 - d. Let j(q) be the second derivative of -q**5/20 + q**4/6 + q**3/3 + q**2/2 + 7*q - 1. Give j(g).
-2
Let u(i) = -3*i - 1. Suppose 4*k - 3*k + 4 = 0. Let h be k/(-6)*15/(-10). What is u(h)?
2
Suppose -2*d = -6*d + 8. Let n be ((-1)/d)/(2/24). Let q(b) = -b**2 - 7*b - 5. Calculate q(n).
1
Let y(i) be the third derivative of i**6/120 - i**5/60 - i**4/24 - 8*i**3 - 5*i**2 + 12. Determine y(0).
-48
Let b(v) be the first derivative of -v**2/2 + 8*v - 4. Let y(z) = z - 5. Suppose -c - 7 + 18 = 0. Let o be y(c). Calculate b(o).
2
Let g = 5 - 7. Let b(a) = 26*a + 30. Let o(c) = 14*c + 17. Let r(w) = 4*b(w) - 7*o(w). Determine r(g).
-11
Let f(s) be the second derivative of s**4/12 + s**3/6 - 7*s**2 - 180*s. Determine f(4).
6
Let t(n) = n + 14. Let c(v) = -9*v**2 - 32*v + 3. Let o be c(-4). What is t(o)?
1
Let j(m) = -m**3 + 14*m**2 + m - 4. Let w = -2793 + 2807. Determine j(w).
10
Let i(h) = -2*h + 6. Suppose -21*m + 10*m = -88. Give i(m).
-10
Let z(j) = -2*j - 16. Let n(b) = b + 9. Let c(p) = -11*n(p) - 6*z(p). Suppose 7 = -4*k + 35. Suppose 12 = k*l - 4*l. What is c(l)?
1
Suppose 12 = -78*p + 74*p - n, -12 = 4*p + 2*n. Let k(u) = u**3 + u**2 - 3*u - 1. Give k(p).
-10
Let q be 4/4 + -1 + 21. Let h = 16 - q. Let y(t) = -12*t + 3*t + 7*t. What is y(h)?
10
Let d(a) = -33*a + 2157*a**2 + 10*a**3 - 1 + 31*a - 2159*a**2. What is d(-1)?
-11
Let f be 6 - (-8 + 5) - 6. Let d(x) = -8*x + 3. Calculate d(f).
-21
Let g(p) = -2*p - 3. Suppose 2*c - 4*y = -9*y + 5, 4 = 4*y. Suppose 3*f - 6*f - 36 = c. Let z be (f/15)/(1/5). Calculate g(z).
5
Let p(n) = 3*n + 2. Suppose 24*h - 12 + 36 = 0. What is p(h)?
-1
Let f(y) = 689 - 1378 + 685 - y. Determine f(-1).
-3
Let b = -495 - -496. Let s(k) = -19*k**3 + k**2 + k - 1. Give s(b).
-18
Let s(z) = z - 4. Suppose -4*f - 41 = -1. What is s(f)?
-14
Let y(s) = s**2 + 7*s + 5. Let w be y(-7). Suppose -w*q = -3*q - 24. Let t(x) = x + 8 + 2 - q. What is t(-4)?
-6
Let s(i) = i + 3*i - 3*i + 790 + 2*i - 786. Let x(m) = -2*m - 4. Let u be x(-5). Give s(u).
22
Let b be (-150)/35 + (-2)/(-7). Let h(g) = -8*g**2 + 15*g + 23. Let j(k) = -3*k**2 + 5*k + 8. Let w be -22*(4/8)/1. Let x(z) = w*j(z) + 4*h(z). Give x(b).
0
Let i(z) be the third derivative of -z**5/12 + z**4/24 + z**3/6 - 12*z**2. Let r(m) = -9*m**2 + m + 2. Let d(k) = -5*i(k) + 3*r(k). What is d(-2)?
-3
Let w(h) = h**3 - 13*h**2 - 14. Suppose 44*d = 361 + 211. What is w(d)?
-14
Let q(z) = 7*z**3 - 10*z**2 - 3*z - 15. Let c(l) = 16*l**3 - 21*l**2 - 10*l - 31. Let y(s) = -4*c(s) + 9*q(s). Determine y(-8).
13
Let t(a) = a**2 - a + 3. Let w be (1 + 0)/(36/144). Determine t(w).
15
Let p = 4342 + -4346. Let o(w) = -8*w - 10. Let k(x) = -9*x - 11. Let f(n) = -5*k(n) + 6*o(n). Give f(p).
7
Let l be 15/3*(-8)/(-10). Suppose 4*q - 24 = -4. Let b(f) = -4*f**2 + 0*f - q + 3*f + 3*f**2 + 3*f. Give b(l).
3
Let l(i) = 35*i - 27*i + i**2 - 5*i - 14*i + 5. Calculate l(12).
17
Let n(j) be the first derivative of j**2 + 2*j - 8. What is n(-4)?
-6
Let l(v) = -9*v**3 + 3*v**3 + 2*v**2 - 10 - 8 + 17. Let m(h) = h - 6. Let d be m(7). Determine l(d).
-5
Let a(k) be the third derivative of k**4/8 - 35*k**3/6 - 618*k**2. What is a(10)?
-5
Let z(c) = -6*c + 2*c + 2 - 1. Let a(q) = -16*q + 4. Let i = -43 - -34. Let f(o) = i*z(o) + 2*a(o). Calculate f(-2).
-9
Let h be (3 - 16/5) + (-342)/(-10). Let j = 34 - h. Let k(f) = -f - 9. Let w(o) = -o - 10. Let a(y) = 3*k(y) - 4*w(y). Calculate a(j).
13
Let z = -52 - -52. Let x(r) = -r**2 - r - 24. Calculate x(z).
-24
Let c(a) = a**3 - 11*a**2 - 7. Let b(r) = 2*r**2 + r + 1. Let m(u) = 4*b(u) + c(u). Give m(2).
1
Let r(g) = -9*g**2 - g. Suppose -2*o - 4*p - 26 = 0, 2*p - 1 + 5 = 0. Let f = 12 + o. Suppose w = -2*w - f. What is r(w)?
-8
Suppose -3*c + 4 = -5. Suppose c*y + 2*y = 4*g - 5, g - 15 = 4*y. Let b(u) = -u - 4. Calculate b(g).
1
Let r = 128 - 117. Let w(s) = s**2 - 8*s - 28. Determine w(r).
5
Suppose 0 = -2*a + 2*k + 16, 7*a - 4*a - 4*k - 26 = 0. Let n(b) = -11 + 3*b + 0*b**3 - a*b**2 + 3 + b**3. Suppose -25*c + 42 = -7*c - 11*c. Calculate n(c).
10
Let k(w) = -w**2 + 5*w + 4. Let f be k(5). Let a be (9*(-3)/(-54))/((-2)/f). Let y(l) = -5*l + 1. What is y(a)?
6
Let w(x) = -x**3 + 6*x**2 - 3*x - 5. Let f = 54 - 37. Suppose -f = j - 21. Give w(j).
15
Suppose 0 = 4*t + 62 - 158. Suppose 2*l = 6*l + t. Let c(h) = 1 + h**3 + 4 + 6*h**2 - 3. Calculate c(l).
2
Suppose 41*m = 7*m - 136. Let u(y) = -y**2 - 7*y - 7. Give u(m).
5
Let p(d) be the first derivative of d**4/4 - 4*d**3/3 + 3*d**2 - 101. Determine p(4).
24
Let m(o) = -5*o - 4. Let b(a) = -a. Let j(r) = -3*b(r) + m(r). Determine j(-5).
6
Let g = 879 - 881. Let o(x) = 5*x + 5. Determine o(g).
-5
Let m(q) = -9*q**2 - 6*q. Let r(l) = -3*l**2 - 2*l. Let t = -24 - -28. Let b(a) = t*m(a) - 11*r(a). Determine b(-2).
-8
Let n(y) be the first derivative of -y**2 - 7*y + 183. Determine n(-3).
-1
Let o(l) = -l - 4. Let u(k) = -20*k**2 - 23*k + 23. Let q(n) = 7*n**2 + 8*n - 8. Let x(m) = 17*q(m) + 6*u(m). Let y be x(-4). What is o(y)?
2
Let u(b) = -2*b + 5. Let s be u(6). Let w(z) = -2*z + 10 + z - 4. Give w(s).
13
Let n(h) = 5*h**3 + h**2 + h - 1. Suppose -3*y = 6 + 6. Let v(m) = 6*m - 3. Let s(b) = 5*b - 3. Let u(q) = 7*s(q) - 6*v(q). Let c be u(y). Give n(c).
6
Let d(f) be the second derivative of 2*f - 1/3*f**3 + 1/2*f**2 + 0. Let w(v) = -34*v - 98. Let r be w(-3). Give d(r).
-7
Let t(x) = -x**2 - 12*x - 26. Let h(n) = -n**3 + 12*n**2 - 36*n - 1. Let g be h(7). What is t(g)?
6
Let n be -1 + 2*(2 + -1). Let f(x) = 2*x + 9. Let q = 222 - 226. Let w(o) = -4*o - 11. Let d(y) = q*w(y) - 5*f(y). Give d(n).
5
Suppose -2*p = -p + 3. Let l(b) be the third derivative of b**4/24 + b**3/6 - 25*b**2. Calculate l(p).
-2
Let c(q) = 52*q**2 + 5*q - 5. Let g(s) = -24*s**2 - 2*s + 2. Let m(i) = 2*c(i) + 5*g(i). Calculate m(1).
-16
Let g be (-1)/3 + 7/3. Suppose g*q + 2*q = 28. Let h(c) = -c**2 - c - 2. Let o(l) = 5*l**2 - 2*l + 6. Let b(a) = 4*h(a) + o(a). Calculate b(q).
5
Let c(u) = 7*u**2 + 2*u - 2. Let q be c(1). Suppose -q = -8*j + 17. Let o(d) = 10 + j*d + 3*d**3 - d**2 - 9 - 3*d. Determine o(1).
3
Let d(y) = -y**3 - 12*y**2 - 9*y + 5. Let t(p) = -11*p**3 + 2*p**2 - p - 1. Let c be t(1). Give d(c).
-17
Let q(s) = -8*s - 1. Suppose 7*z - 7 = -14. Determine q
|
{
"pile_set_name": "DM Mathematics"
}
|
at comes next: 10, 32, 54?
76
What is next in 1878, 3756, 5634?
7512
What is the next term in 6, 15, 40, 87, 162, 271?
420
What is next in 157, 314, 471?
628
What comes next: -14, -23, -18, 7, 58, 141, 262, 427?
642
What is next in 26, 22, 22, 26, 34?
46
What comes next: -30, -22, -14, -6?
2
What is next in -70, -121, -172, -229, -298, -385?
-496
What is the next term in 10, 23, 38, 55?
74
What is next in 657, 1338, 2055, 2814, 3621?
4482
What is the next term in 30, 113, 252, 447, 698, 1005, 1368?
1787
What is the next term in 5, 18, 25, 26, 21?
10
What is next in -549, -1093, -1637, -2181, -2725, -3269?
-3813
What is the next term in -32, -60, -96, -146, -216, -312, -440, -606?
-816
What comes next: 19, 31, 43, 55, 67?
79
What is the next term in 0, 5, 16, 39, 80, 145, 240, 371?
544
What is next in 506, 1007, 1508, 2009, 2510, 3011?
3512
What comes next: 28, 11, -6?
-23
What is next in 604, 503, 390, 259, 104, -81, -302, -565?
-876
What is the next term in -1347, -1343, -1339?
-1335
What is next in 39, 161, 361, 639, 995?
1429
What is next in 100277, 100276, 100275?
100274
What is next in 433, 914, 1395, 1876, 2357, 2838?
3319
What is next in 26, 47, 90, 161, 266, 411?
602
What is the next term in -182, -360, -536, -710, -882, -1052?
-1220
What is next in 1505, 3017, 4531, 6047, 7565?
9085
What comes next: 23561, 47123, 70685, 94247, 117809?
141371
What comes next: -81, -102, -105, -84, -33, 54, 183, 360?
591
What comes next: -406, -407, -408, -409?
-410
What comes next: -247, -232, -215, -202, -199?
-212
What is the next term in 890, 888, 886, 884, 882?
880
What comes next: -48, -43, -40, -39, -40, -43, -48?
-55
What is next in 132, 110, 74, 24, -40, -118?
-210
What comes next: -8, 100, 296, 592, 1000, 1532, 2200?
3016
What comes next: 48, 75, 112, 165, 240, 343, 480, 657?
880
What comes next: 560, 534, 490, 428, 348, 250, 134?
0
What is the next term in -480, -961, -1442, -1923?
-2404
What is next in -5679, -5678, -5679, -5682, -5687, -5694, -5703?
-5714
What is next in 168, 332, 490, 642, 788?
928
What is the next term in 159, 516, 1117, 1968, 3075?
4444
What is the next term in 94, 92, 90, 88, 86, 84?
82
What is next in 911, 1822, 2733?
3644
What is next in 78, 155, 228, 297, 362?
423
What is next in -884, -1767, -2650, -3533?
-4416
What comes next: -9, -63, -117?
-171
What comes next: -159, -170, -181, -192?
-203
What is the next term in 22, 32, 42, 52, 62, 72?
82
What is next in 18, 39, 70, 111, 162, 223, 294?
375
What is next in -2, -15, -32, -53?
-78
What comes next: 884, 1767, 2640, 3497, 4332, 5139, 5912, 6645?
7332
What comes next: -28, -55, -82, -109, -136, -163?
-190
What is the next term in -14, -19, -24?
-29
What is the next term in 1389, 2779, 4169?
5559
What is the next term in 6, 23, 6, -81, -274?
-609
What comes next: 348, 694, 1038, 1380, 1720?
2058
What is next in -1025, -1031, -1041, -1055?
-1073
What is the next term in 101, 212, 329, 452, 581, 716, 857?
1004
What comes next: -320, -638, -956, -1274?
-1592
What comes next: 227, 487, 747, 1007, 1267, 1527?
1787
What is the next term in -229, -196, -163, -130, -97, -64?
-31
What is next in 38, 9, -68, -217, -462, -827, -1336?
-2013
What is the next term in 156, 310, 464, 618, 772, 926?
1080
What comes next: 621, 643, 667, 693, 721, 751, 783?
817
What is next in 7, 83, 227, 445, 743?
1127
What is next in -14, -50, -112, -200, -314, -454?
-620
What is the next term in -547, -1091, -1649, -2227, -2831, -3467?
-4141
What is the next term in -369, -366, -363?
-360
What is the next term in -2395, -4793, -7197, -9607, -12023, -14445?
-16873
What is next in 1369, 1376, 1383?
1390
What is the next term in -170, -285, -400, -515?
-630
What is the next term in 18, 8, -2, -12, -22, -32?
-42
What is the next term in 5, 10, 15, 20?
25
What is next in -158, -322, -486, -650, -814?
-978
What is next in 24, 52, 100, 168?
256
What comes next: 1191, 1194, 1199, 1206, 1215?
1226
What is the next term in -2007, -2005, -2003, -2001?
-1999
What comes next: -70, -142, -214?
-286
What is the next term in 48, 76, 114, 168, 244, 348?
486
What comes next: 58, 82, 106, 130?
154
What is the next term in -19, -35, -49, -61, -71?
-79
What is the next term in -1, 15, 31, 47, 63, 79?
95
What is the next term in -127, -279, -431?
-583
What comes next: 0, 28, 54, 78, 100?
120
What is next in -121, -224, -327?
-430
What is next in 10166, 20336, 30518, 40718, 50942, 61196, 71486?
81818
What comes next: 17, 32, 51, 74, 101?
132
What comes next: -17, -42, -65, -86, -105?
-122
What is next in -39, -55, -71?
-87
What comes next: -470, -476, -482, -488, -494?
-500
What is next in 35, 10, -15, -40, -65?
-90
What is next in 15, 26, 25, 6, -37, -110?
-219
What is next in 33, 101, 213, 369, 569, 813?
1101
What comes next: -260, -259, -258, -257, -256, -255?
-254
What comes next: 64, 98, 132, 166, 200, 234?
268
What comes next: -22, -38, -54, -70?
-86
What comes next: -1, -2, -3, -4, -5, -6?
-7
What is next in -669, -671, -673, -675, -677?
-679
What comes next: -41, -58, -89, -140, -217?
-326
What comes next: 290, 589, 888?
1187
What comes next: 35, 129, 331, 677, 1203, 1945, 2939, 4221?
5827
What comes next: -86, -169, -252, -335, -418, -501?
-584
What comes next: -16, -68, -156, -280, -440?
-636
What comes next: 524, 526, 528, 530, 532?
534
What comes next: 2241, 4478, 6713, 8946, 11177, 13406, 15633?
17858
What comes next: 59, 173, 363, 629, 971?
1389
What comes next: 95, 185, 275, 365, 455, 545?
635
What is the next term in -341, -372, -409, -452?
-501
What is the next term in 1405, 2804, 4201, 5596?
6989
What is the next term in 459, 461, 463, 465?
467
What comes next: 766, 1540, 2318, 3100?
3886
What is the next term in 1447, 2896, 4345, 5794, 7243?
8692
What is next in 18, 16, 14, 12, 10?
8
What is the next term in 70, 102, 136, 172, 210, 250?
292
What is the next term in 180, 174, 174, 186, 216, 270, 354, 474?
636
What is the next term in 409, 407, 405, 403, 401, 399?
397
What is the next term in 72, 111, 140, 159, 168, 167, 156?
135
What is next in 119, 132, 155, 194, 255?
344
What is next in -99, -206, -325, -462, -623?
-814
What is the next term in 6, 10, 14, 18, 22, 26?
30
What is the next term in 8, 6, -16, -70, -168, -322, -544, -846?
-1240
What comes next: 1108, 2215, 3322, 4429, 5536?
6643
What comes next: -499, -483, -441, -361, -231, -39, 227?
579
What comes next: -1611, -1537, -1449, -1341, -1207, -1041, -837, -589?
-291
What is the next term in 23, 43, 63, 83?
103
What is the next term in 328, 332, 336, 340, 344, 348?
352
What is the next term in 6, 19, 50, 105, 190?
311
What is next in 1977, 1980, 1983, 1986, 1989, 1992?
1995
What is next in 1280, 1276, 1270, 1262, 1252, 1240?
1226
What comes next: 283, 282, 281, 280, 279?
278
What is the next term in -26, -13, 22, 91, 206, 379, 622, 947?
1366
What is next in 3878, 3876, 3874, 3872, 3870?
3868
What is next in -13, -17, -21, -25, -29?
-33
What comes next: 197, 857, 1965, 3527, 5549, 8037, 10997, 14435?
18357
What is next in 202, 410, 624, 844, 1070, 1302?
1540
What is next in 90, 105, 130, 165, 210, 265?
330
What is the next term in -12, -35, -72, -123, -188, -267, -360?
-467
What comes next: 424, 425, 426?
427
What is next in -296, -591, -876, -1145, -1392, -1611, -1796?
-1941
What is the next term in -36, -217, -390, -549, -688?
-801
What comes next: 127, 232, 319, 382, 415, 412, 367?
274
What is next in 60, 23, -38, -123, -232, -365, -522?
-703
What comes next: -21, -71, -203, -459, -881?
-1511
What is next in -167, -346, -525, -704, -883, -1062?
-1241
What comes next: 161, 303, 429, 533, 609, 651, 653?
609
What is next in -686, -1377, -2074, -2777, -3486, -4201?
-4922
What is the next term in -73, -297, -671, -1195, -1869, -2693, -3667?
-4791
What is the next term in -54, -136, -264, -444, -682, -984, -1356, -1804?
-2334
What comes next: -16, -39, -64, -91, -120?
-151
What comes next: 3986, 3987, 3988, 3989, 3990, 3991?
3992
What is the next term in -7, -20, -41, -70, -107, -152, -205?
-266
What is next in -5569, -5566, -5563, -5560, -5557, -5554?
-5551
What comes next: 8, 70, 182, 344, 556, 818, 1130?
1492
What is next in -281, -283, -285, -287, -289, -291?
-293
What is next in 7432, 7429, 7426, 7423?
7420
What is the next term in 27, 22,
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the smallest common multiple of 873 and 25996?
233964
Calculate the common denominator of 95/4 and -75/13186.
26372
What is the common denominator of 37/53856 and -83/4590?
807840
What is the common denominator of 37/4528 and -65/248?
140368
What is the smallest common multiple of 48576 and 89056?
534336
Calculate the least common multiple of 96 and 219664.
1317984
Calculate the common denominator of 13/2812 and 21/7030.
14060
Find the common denominator of -59/30 and 143/3906.
19530
Calculate the least common multiple of 530 and 115646.
578230
Find the common denominator of -73/105280 and 37/1344.
315840
Calculate the common denominator of 23/460200 and -137/26550.
1380600
What is the common denominator of -63/5612 and -97/1342?
61732
What is the smallest common multiple of 111078 and 456654?
4109886
What is the common denominator of -28/117 and -53/84636?
1100268
Find the common denominator of -97/315 and 88/36225.
36225
Calculate the least common multiple of 3060 and 31110.
186660
What is the common denominator of 149/1380 and 58/3945?
362940
Calculate the least common multiple of 567 and 11907.
11907
What is the common denominator of -26/170535 and -14/45?
511605
Calculate the common denominator of 3/259 and 47/74555.
521885
Find the common denominator of 83/7188 and -77/168918.
337836
Calculate the least common multiple of 360 and 3360.
10080
What is the smallest common multiple of 62936 and 120?
944040
Find the common denominator of 39/1720969 and -44/24239.
1720969
Calculate the lowest common multiple of 417582 and 487179.
2923074
Calculate the least common multiple of 675 and 59940.
299700
Calculate the lowest common multiple of 381095 and 46904.
3048760
Find the common denominator of -77/6042 and 75/3344.
531696
What is the common denominator of -43/4 and 89/1854452?
1854452
What is the least common multiple of 160034 and 994?
160034
What is the common denominator of 151/24 and -19/357963?
2863704
Calculate the lowest common multiple of 156 and 12.
156
What is the smallest common multiple of 64312 and 755666?
3022664
Calculate the lowest common multiple of 50 and 45.
450
What is the common denominator of -101/135632 and -81/329392?
2305744
Calculate the smallest common multiple of 2635 and 4318.
669290
Calculate the least common multiple of 1972766 and 159954.
5918298
Find the common denominator of -29/2178 and -26/1725.
1252350
Calculate the least common multiple of 3542 and 28.
7084
Calculate the common denominator of 101/23718 and 76/603.
71154
Calculate the least common multiple of 48 and 2676834.
21414672
What is the common denominator of 91/6276 and -137/12?
6276
What is the smallest common multiple of 8 and 3406?
13624
What is the lowest common multiple of 2455 and 2875?
1411625
What is the least common multiple of 156940 and 50?
784700
Calculate the smallest common multiple of 28 and 4352.
30464
Calculate the lowest common multiple of 94783 and 14582.
189566
What is the common denominator of 149/12 and 47/219364?
658092
What is the lowest common multiple of 1920 and 1812?
289920
What is the common denominator of 7/936 and -13/504?
6552
What is the smallest common multiple of 23832 and 95328?
95328
What is the common denominator of -95/896 and 37/1792?
1792
Calculate the least common multiple of 8 and 6287879.
50303032
What is the lowest common multiple of 904 and 2260?
4520
Calculate the common denominator of -101/138240 and -49/1200.
691200
What is the common denominator of 27/1178 and -97/367536?
367536
Calculate the lowest common multiple of 71589 and 77.
787479
Find the common denominator of -10/339 and -67/1629.
184077
Calculate the common denominator of 137/84 and -107/4452.
4452
Find the common denominator of 2/21 and 127/78162.
78162
What is the common denominator of 187/2130 and 109/54?
19170
What is the common denominator of -97/36 and 15/4541?
163476
Find the common denominator of -103/26786 and -95/826.
187502
What is the common denominator of -85/7074 and 37/165846?
1492614
What is the lowest common multiple of 4830 and 24?
19320
What is the common denominator of -181/13110 and -1/665?
91770
What is the smallest common multiple of 8400 and 28560?
142800
What is the least common multiple of 5964 and 9954?
1413468
What is the smallest common multiple of 662 and 938?
310478
What is the common denominator of -17/396 and -83/150420?
4963860
What is the smallest common multiple of 1791 and 4869?
968931
What is the smallest common multiple of 510 and 10302?
51510
Calculate the smallest common multiple of 3960 and 71808.
1077120
What is the common denominator of -3/196604 and -89/94028?
2162644
What is the least common multiple of 1541 and 10?
15410
Calculate the common denominator of -161/18090 and 79/8040.
72360
What is the least common multiple of 849764 and 12?
2549292
Calculate the common denominator of 32/3 and -39/8425.
25275
What is the lowest common multiple of 184186 and 6327?
1657674
What is the least common multiple of 1272 and 144?
7632
What is the common denominator of -95/43726 and 51/14?
306082
What is the least common multiple of 9 and 110224?
992016
What is the smallest common multiple of 8932 and 10164?
294756
Find the common denominator of -46/579 and 133/3792.
731856
Calculate the smallest common multiple of 7710 and 4112.
61680
Calculate the smallest common multiple of 70 and 124845.
249690
Find the common denominator of -99/2656 and 99/17264.
34528
Calculate the common denominator of -17/10473 and 187/60.
209460
Find the common denominator of 37/24510 and 61/6270.
269610
Calculate the common denominator of 1/1245 and -37/2905.
8715
What is the common denominator of 43/6720 and 35/36768?
2573760
Find the common denominator of 81/350104 and -97/16.
700208
What is the least common multiple of 35 and 1674830?
11723810
Calculate the common denominator of 56/5 and -31/2727.
13635
What is the smallest common multiple of 814 and 60014?
660154
What is the smallest common multiple of 744 and 248?
744
What is the common denominator of -81/88 and 73/310?
13640
Calculate the smallest common multiple of 252228 and 5.
1261140
What is the common denominator of 91/8 and -38/75545?
604360
Find the common denominator of -103/4866 and -55/1044.
846684
Calculate the common denominator of 49/7744 and 69/4928.
54208
Calculate the common denominator of 71/734235 and 7/12.
2936940
What is the smallest common multiple of 1452 and 1128?
136488
Calculate the common denominator of -89/480870 and -19/5850.
2404350
Calculate the least common multiple of 3960 and 1104.
182160
Calculate the lowest common multiple of 576 and 396.
6336
Calculate the common denominator of -13/99 and -58/6897.
20691
What is the least common multiple of 2844 and 395?
14220
What is the lowest common multiple of 1782 and 14826?
4403322
Calculate the common denominator of -31/14 and 61/329.
658
Calculate the least common multiple of 5910 and 295500.
295500
What is the common denominator of -2/3239 and 29/6?
19434
What is the lowest common multiple of 3460 and 2249?
44980
Find the common denominator of -13/1972 and 145/10836.
5342148
Calculate the lowest common multiple of 20 and 932250.
1864500
What is the smallest common multiple of 7784 and 6116?
85624
What is the common denominator of -22/100233 and -137/258?
200466
What is the smallest common multiple of 132435 and 35316?
529740
What is the common denominator of -11/6273 and -10/21607?
194463
What is the common denominator of 133/9924 and -127/24?
19848
Calculate the lowest common multiple of 8420 and 130.
109460
What is the common denominator of 69/93248 and 37/4136?
1025728
What is the smallest common multiple of 105 and 6036?
211260
Calculate the least common multiple of 13464 and 1394.
552024
Find the common denominator of -8/9 and 14/224421.
673263
Calculate the lowest common multiple of 253732 and 60.
3805980
Calculate the lowest common multiple of 32844 and 391.
32844
Calculate the common denominator of -37/95898 and -1/43590.
479490
Calculate the common denominator of 67/29188 and 97/846452.
846452
What is the lowest common multiple of 301 and 7140?
307020
Calculate the common denominator of -14/76565 and -51/335.
5129855
What is the least common multiple of 6 and 16140?
16140
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
5 + -1574/55. Which is the nearest to 0.07? (a) l (b) -1/2 (c) 5
a
Let r = 202/3 - 68. Let x = -11 - -9. What is the nearest to r in 2, x, -2/7?
-2/7
Let l be (3/(-5))/(10/25). Which is the closest to 0? (a) l (b) -4 (c) -1
c
Suppose 8*f = 3*s + 5*f - 9, 2*s - 1 = -3*f. What is the nearest to s in -0.7, -1/3, -5?
-1/3
Let i = 6.4 - 1.9. Let o = i + -4. Let h be (2 - -1) + 25/(-9). Which is the nearest to h? (a) -3 (b) 0 (c) o
b
Let a be (-10)/9 + 4/(-18). Let d = -0.196 - -0.186. What is the closest to 0 in a, -0.4, d?
d
Let m = -13 + 18. Which is the closest to -0.1? (a) -0.4 (b) -0.1 (c) m
b
Let u = -0.257 - -0.457. Let d = -0.1 - 0.4. Let g = -201/4 - -50. Which is the nearest to g? (a) u (b) 2/9 (c) d
c
Let q = -0.2 + 0.6. Let u = 1 - 3. Let h = -3.14 + 0.14. Which is the closest to -2/9? (a) u (b) h (c) q
c
Suppose 5*x - 11 = -61. Let c = x + 5. What is the closest to 0 in c, -3, 2/7?
2/7
Let x = 61 + -66. Let c be (-1)/3 - (-10)/18. Let d = 351/10 - 71/2. What is the nearest to d in x, -1/4, c?
-1/4
Let x = 85811/287 + -2095/7. Let w = -39/287 + x. What is the closest to w in -2/13, -0.2, 0.2?
-0.2
Let v = -24 - -49/2. What is the closest to v in -2/5, 2/5, 3/7?
3/7
Suppose 0 = -4*u - 16. Let f be 5/2*u/40. What is the nearest to 0 in 0.5, 0.4, f?
f
Let a = -1.2 - -2.2. Suppose -2*y - 2 = 2*t + 2*t, -4*t + y - 5 = 0. Let i be t/3*6/(-16). What is the nearest to a in 2, -1/2, i?
i
Suppose -4*p = -4*y - 28, 0 = 5*p + 3*y - 1 - 18. Let d be 4/p*(-5)/(-14). Which is the closest to 0? (a) -1/4 (b) -3/2 (c) d
a
Let c be (-4)/16 - (-19)/(-4). Let b = -0.09 + 1.09. Let j = 0.4 + -0.4. What is the nearest to b in 0.1, c, j?
0.1
Let n = -91 + 93. What is the closest to n in -3, 0.4, -5?
0.4
Let u = -0.07 + 37.07. Let i = u - 35.1. Let b = -2 + i. What is the closest to 0.1 in -0.3, b, -2?
b
Let n(y) = -y**3 + 7*y**2 + 9*y - 12. Let l be n(8). Let o be 5/3 + (l - -3). Which is the closest to 0.1? (a) o (b) 3 (c) -5
a
Let d = -0.2 - -2.2. Let f = 1.07 - -0.13. Let r = -1.3 + f. What is the closest to r in d, 0.5, -0.1?
-0.1
Let b = 769/13 - 59. What is the nearest to b in 1/6, -3, -2?
1/6
Let t = 1/19 - -31/133. Suppose 3*u + 7 = -2*d - 9, 0 = u + 3*d + 10. Which is the nearest to t? (a) -2/11 (b) u (c) 5
a
Let x(m) = -m - 2. Let t(n) = n**2 - 6*n - 7. Let r be t(7). Let h be x(r). Which is the closest to -1/4? (a) 2 (b) h (c) 1
c
Let q = -34 - -34. Let g = -2 + 1. Which is the nearest to -0.2? (a) 4/3 (b) q (c) g
b
Let w = 2/69 + -9/46. What is the closest to 1 in 4, 0.5, w?
0.5
Suppose -4*h - 8 = -4*m, -4*h + 2*m = 4*m + 2. Let s = -383 + 2687/7. Let k = 1 + 3. What is the nearest to h in s, 0, k?
0
Let i be 85*-1 + (1 - 2). Let y = 2125/2 + -975. Let x = y + i. Which is the closest to 1? (a) -2 (b) x (c) 1
c
Let d = 0.3 + -0.2. Suppose -4*r = -9*r - 20. What is the closest to -1/4 in 1/4, r, d?
d
Let u = 0.118 - -2.882. Which is the nearest to u? (a) -2 (b) 3/4 (c) 1
c
Let m = -5.4 - -0.4. Let b be (-53)/(-17) - 9/3. What is the nearest to 2/3 in m, 4, b?
b
Let n be (5/(-25))/((-14)/20). What is the nearest to 1 in 2, n, -5?
n
Let u be 0 + -2 + 12/9. Let s be 120/18 + (-1)/(-3). Suppose -s*b = -3*b + 4. What is the closest to u in b, 0.2, -2/7?
b
Let r be (1/8)/((-1)/(-2)). Let x = 6/35 - 1/35. Let n = 8 + -8.5. Which is the nearest to r? (a) n (b) -0.2 (c) x
c
Let z = 15.7 + -16.1. Let g = -3.1 + 3. Which is the nearest to 2/7? (a) z (b) 2 (c) g
c
Let i = 66 - 63. What is the nearest to -1 in i, 0.06, -1?
-1
Let l = 37/93 + -2/31. Which is the closest to l? (a) 3/5 (b) -0.02 (c) 0.2
c
Let q = -89 + 89.51. Let d = 0.11 - q. What is the nearest to 1 in 6/5, d, 1/3?
6/5
Let r = 95/6 - 293/18. What is the closest to 0 in r, 2/17, 0.08?
0.08
Let d be (-20)/(-14) - (-1 + 2). Let k be (-12)/(-8) - 1/2. Let m be 7/(-2) - k/(-2). What is the closest to 1 in 2/9, d, m?
d
Let x = -21/1378 + 4529717/15158. Let i = -299 + x. Let b(w) = -w**3 - 19*w**2 - w - 24. Let l be b(-19). What is the nearest to i in l, 2/7, -1?
2/7
Let j = 0.25 + -0.3. Let q = 0.45 + j. Let z = -0.3 + q. Which is the nearest to z? (a) -3/8 (b) 0.5 (c) 0.2
c
Suppose k - 23 = 5*d + 71, 4*k - 34 = d. Which is the closest to -1/5? (a) d (b) 5 (c) -0.3
c
Let k = -3686 - -62682/17. Let j = 94/51 - k. Which is the nearest to 0? (a) 1 (b) 0.2 (c) j
b
Let j(t) = 14*t + 12. Let n be j(-1). What is the closest to 2/11 in -1/4, -6, n?
-1/4
Let a = -31 + 29. Let s = -2 + 3. Let u = 1.1 - 0.8. What is the nearest to s in a, u, 0.4?
0.4
Let x = 30 - 34. What is the nearest to -2/7 in 2/9, x, 1/7?
1/7
Let s = -1.7 + 0.4. Let g = s - -0.3. Let t = 357/5 - 71. Which is the closest to g? (a) t (b) 1 (c) 0.1
c
Let o = -68 - -64. Let q = -0.2 + 0.2. Which is the closest to -1/4? (a) o (b) q (c) 3
b
Let d = 8 - 7. Let b be 2/42 - 2/(-7). Let c = 5 + 0. What is the closest to d in c, 4, b?
b
Let c = 10 - 59/6. Let d(y) = -2*y - 30. Let a be d(-14). What is the nearest to 0.2 in a, 1, c?
c
Let s = 79 + -81. Which is the nearest to 0? (a) 5 (b) s (c) 0.2
c
Let f be 2*3/24*1. Let w = -0.4 + -1.6. What is the nearest to 0.1 in f, w, 2?
f
Let r be (-6)/(-12) - 3/(-6). Which is the nearest to -1? (a) -0.4 (b) -2/3 (c) r
b
Let f be (150/(-54) - -3)*1. What is the closest to -1 in -2, f, 2?
-2
Suppose 5*d - 25 = 0, 5*m + 4*d - 13 = 42. Let t(p) = p - 5. Let a be t(m). Suppose -x - 7 = -2*s + a*x, x + 6 = -3*s. What is the closest to s in 3, 2, -1?
-1
Let p(l) = l**3 + 3*l**2 - l - 2. Let s be p(-3). What is the nearest to s in 5, 0, -1/7?
0
Let i = 2440/7 - 348. What is the nearest to -0.2 in -2, i, 0.4?
0.4
Suppose 0*g + g = -3*p + 6, -4*p + 8 = 4*g. Let z be (3 - 3) + p/6. Let x = 0.1 + -0.2. Which is the nearest to 0? (a) -1/5 (b) x (c) z
b
Let z = 7 + -7.1. Let r = 0.4 + -1. Let b = r + 3.6. What is the closest to z in -2, b, -0.3?
-0.3
Let i = 424/3 + -140. Let c = 0.402 - 0.302. What is the closest to c in i, 4, 5?
i
Let l = -14.9 + 15. What is the closest to 1/2 in -2/7, 0, l?
l
Suppose -32 = -2*f + 3*h - 11, -5*h - 40 = -5*f. Let v be (-1)/(-2) + 1/(-2). What is the closest to 0.2 in v, 1/2, f?
v
Let n = 15 + -117/8. Let o = 0.5 + -0.2. Which is the closest to 1/3? (a) n (b) o (c) 4
b
Suppose 0 = 4*r - 2*r - 618. Let p = r + -6491/21. Which is the closest to 1? (a) 1/3 (b) 3/4 (c) p
b
Let s = -0.1 - -0.2. Let g = -3.16 - -3.56. Which is the closest to 1? (a) s (b) 2/9 (c) g
c
Let i = 15 + -13.7. What is the closest to 0.1 in -1, i, 1?
1
Let p = 18.3 + -18. Let i = 0 - 1. What is the nearest to i in 0.4, 3, p?
p
Let c = 24 + -16. Suppose -2*j + c = -2. Let l = -128 + 128.4. What is the nearest to -2/3 in 0.2, j, l?
0.2
Let d = 9.8 - 9.9. Which is the closest to -14? (a) d (b) 0.3 (c) -2/3
c
Let x = -1 - -4. Which is the closest to 1/3? (a) -3 (b) x (c) -0.4
c
Let x = 0.4 + -0.4. Let b = 5.06 - 0.06. What is the nearest to x in b, -2, -1?
-1
Let n = 19.6 + -20. Let i = 4 + -2. Let m be (-1 - 2)/(15/(-2)). What is the closest to -0.1 in i, n, m?
n
Let b = 3.1 + -2.7. What is the closest to 2 in b, 4/5, 3/4?
4/5
Let t = 2 - 2. Suppose j - f = 0, 5*j + f = -t - 30. What is the nearest to 0 in 2, 0.5, j?
0.5
Let p = -3.8 - 1.2. Let k = -0.2 + 0.3. Which is the closest to -1? (a) -1/4 (b) p (c) k
a
Let g = 16 - 10. Suppose 2*n - g = 3*n. What is the nearest to n in -1, -0.5, -0.3?
-1
Let n = -0.042 + 0.122. Which is the nearest to -2/3? (a) -1 (b) n (c) -0.3
a
Suppose -2*a = 3 + 9. Suppose -7 = 4*r + 21. Let j = r - a. What is the closest to j in 0.3, -1, -4?
-1
Let o be ((-70)/4)/(123/2). Let r = o - 2/41. Let y = -37 - -36.9. Which is the closest to -0.1? (a) y (b) 0.4 (c) r
a
Suppose -2*z + 5*z = 6. Suppose -z*k - 2*b = -14 + 4, -2*k - 11 = -5*b. Let x be 7 + (-455)/63 - (-1)/3. What is the closest to k in -0.2, x, 0?
x
Let h = 80.9 + -81. What is the closest to h in -2/15, -0.8, 2/5?
-2/15
Let x = -1 - -1.5. Let n = 0.4 - x. Let g = -260/3 - -86. Which is the nearest to n? (a) 1 (b) -3 (c) g
c
Let q = -0.9 - -0.7. Which is the nearest to -2/9? (a) -2/7 (b) q (c) 4
b
Let s = 2.6 - 3. Let v = s + 0.1. Let x = -0.3 - 0.7. Which is the nearest to x? (a) -1 (b) -0.4 (c) v
a
Let i = 0.1 + 0. Let j = 0.07 + -3
|
{
"pile_set_name": "DM Mathematics"
}
|
). Solve p = v + w, -p = 3*v - 3 - 2 for v.
0
Suppose 0 + 15 = -5*a, -5*y + 17 = a. Solve -i + 5*z + 1 = y*z, 4*i - 6 = 3*z for i.
3
Let t = 37 + -31. Suppose 2*y + 3 = 2*v + 5*y, 2*y = -4*v - t. Let k(a) = -a**2 - 2*a + 4. Let g be k(v). Solve 5*u + 1 = -2*z + 4, z + 2*u - g = 0 for z.
-1
Let f = -85 - -89. Suppose -10 = -2*l - f. Solve -g + 3*b - 2 = 0, -3*g - 6 = -l*b + b for g.
-2
Suppose -5*d + 5*g + 95 = 0, -6*d = -d - 2*g - 80. Let i = d + -9. Solve 2*o = -3*w + 6 + 1, 2*o = -i*w + 9 for o.
2
Let f = -18 - -7. Let t = f + 15. Solve -14 = -5*r - t*v, 0*r - 9 = -3*r - 3*v for r.
2
Let k(q) = 9*q - 5. Let d be k(1). Solve -2*o - 2*f = f + 16, -2*o + d*f = -12 for o.
-2
Let a = -32 - -36. Suppose k = -3*k + a. Let t(y) = -y**3 + 1. Let z be t(k). Solve z = 2*d - r - 1 + 10, 0 = 3*r - 3 for d.
-4
Let w = 7 + 0. Suppose -w*k = -3*s - 5*k - 4, -3*k = 2*s - 6. Suppose -111*r - 12 = -115*r. Solve 0 = m + 2*u + 6, s*m - 10 = r*m + 2*u for m.
-2
Suppose 2*f + 0*f = 6. Suppose f*g - 3 = 3. Solve 0 = -g*h + 2*x + 12, 6*h - h + 4*x + 6 = 0 for h.
2
Suppose q + 7 = -u + 3*u, q - 5 = 0. Suppose -45*r = -48*r + 9. Solve 0*x + x + r*o = -17, 0 = 2*x - 2*o - u for x.
-2
Suppose p + 104 = 108. Solve -i + 4*w + 25 = -4*i, -p*w - 28 = 4*i for i.
-3
Let n(w) = w + 6. Let q be n(-6). Let a = q + 3. Solve -2*t + 4*t - a*f = 0, 0 = -2*t + 5*f for t.
0
Let f = 177 - 172. Suppose 3*d = -d + 16. Solve f*u - m = -7, 3*u + d*m + 3 = 8 for u.
-1
Let v(s) = 2*s**2 - 14*s + 1. Let k be v(7). Solve q - 4*f + 2 + k = 0, 0 = 4*q - 3*f - 1 for q.
1
Let b = 548 - 528. Solve 0 = -a - 3*d - b, d = -5*a + 8 - 38 for a.
-5
Let r(i) = -i**3 - 4*i**2 + 3*i - 5. Let z be r(-5). Solve -5*g + 12 = -c - g, 24 = c + z*g for c.
4
Suppose 3*a = -4*h - 5 + 40, a = -4*h + 25. Solve 0*q - q = 2*d + 4, -4*q = h*d + 7 for q.
2
Suppose 770 = -7*n + 784. Solve 2*q - n - 18 = 4*y, -5*q + 10 = -2*y for y.
-5
Suppose 0 = 3*i + 3*a, i - 1 = -3*a + 1. Let y(r) = 6*r**3 - r**2 - 10*r**3 - 10*r**3. Let l be y(i). Solve 0 = -2*x - x + 3*f - 21, 4*x - f = -l for x.
-2
Suppose -24 = -4*k + 4*a, -5*k + 0 = 2*a - 9. Solve -3*w - 14 = 2*t, -3*t - 1 = -k*w + 5 for w.
-2
Let j(h) = h**3 + 22*h**2 - 2*h - 13. Let p be j(-22). Let n = -27 + p. Solve -19 = -4*a - 5*q, -n*a + 15 = 3*q + 2 for a.
1
Suppose -2*k = -8*k - 312. Let t = k - -57. Solve -3*o = 4*c - 6 - 4, t = 5*o - 5*c for o.
2
Suppose -8*l = -8234 + 8210. Solve -21 = 2*o - 3*r - 1, 0 = l*o + r + 8 for o.
-4
Let v = -10 + 42. Suppose 0 = 3*y + y - v. Solve -q = -2*s + 2, 3*s + 4*q - y = 6 for s.
2
Let d be (-3 - -8)*12/(-5). Let p be 8 - d/(-20)*5. Solve 15 = -5*m, -2*q + 18 = q - p*m for q.
1
Let l(h) = 2*h**3 - 6*h**2 - 6*h - 7. Let y be l(-3). Let t = 101 + y. Solve 17 = -2*k + 4*g + g, k = g - t for k.
-1
Suppose 0 = l - 2 - 4. Let m be (2/l)/((-9)/(-108)). Solve -v - 2*g = m, 5*v = -3*g + 1 - 0 for v.
2
Suppose 50 = -4*j - j. Let q be j/15*150/(-4). Solve 0 = 3*x + r - 13, 4*x - r + 3 = q for x.
5
Let h be (7 - 243/36)*12. Solve -4*f + 5*i + 6 = 3*i, -h*f - 5*i = -11 for f.
2
Let s = 3 - 1. Suppose -a + 2 = f, -4*a + 1 + 5 = s*f. Suppose j - 1 = a. Solve 3*m - b = j*m + 7, -4*m - 4*b = 4 for m.
3
Let a(p) = -p**3 - 22*p**2 - 21*p + 2. Let g(q) = -5*q**2 - 5*q + 9. Let v be g(2). Let k be a(v). Solve 2*y + 4*x = -k*y - 16, 2*y = 3*x - 3 for y.
-3
Let y(u) = u**2 - 2*u + 3. Let w be y(2). Let d(z) = -z**2 - 20*z - 35. Let x be d(-16). Let n = x + -25. Solve v = 5*c - v + 19, 0 = n*c - w*v + 11 for c.
-5
Let r be (17 - (3 + -1)) + 5. Let l be 4/3*(-120)/(-16). Let m(h) = -h**3 + 4*h**2 - 4*h + 3. Let v be m(3). Solve -c - l = -2*n - v, 4*n - r = 0 for c.
0
Suppose -45 = -16*a + a. Suppose 23 = 4*o - 3*l, -o + 5*o = -a*l - 7. Solve -4*f - 5*s = -3, 0 = 6*f - 3*f - o*s + 15 for f.
-3
Let n(h) = 1 + 18 + 3*h + 0 + 0. Let d be n(-5). Solve 4*q + d + 0 = -4*v, -v = -q + 9 for q.
4
Let m = 204 + -201. Solve z + m*d = 3*z - 3, 4*z - 11 = d for z.
3
Suppose 0 = -3*h - 2*j, 3*h + 0*j = 3*j + 15. Solve 0 = -2*s, -s - 18 = -4*p - h for p.
4
Suppose 271*f = 272*f - 2. Solve f*l + 3 = -3*d - 5, -5*l + d - 3 = 0 for l.
-1
Let d = -19 + 31. Suppose g + 18 = 5*u, 4*g = -0*u - u + d. Solve -i = g*w - 0*w + 11, 0 = 4*i + w + 23 for i.
-5
Let x(r) = 6*r + 74. Let f be x(-12). Suppose -f*j - 3*a - 25 = -4*j, -28 = -2*j + 4*a. Solve -5*v + 4*i = i - 26, 4*i + j = 0 for v.
4
Suppose -2*h = -6*h + 28. Suppose j + 2 = u + h, 5*u + 5 = j. Solve -4*w = -u*w - 4*c, -w = -3*c for w.
0
Let x = -10 - -15. Solve 6*i - 7*i - 8 = -3*j, -x*i + 2*j = 27 for i.
-5
Let z be 1 + 8 + (-12 - -7). Solve -z*a + 4*v = -20, -3*a + 3*v = -a - 13 for a.
2
Let k be (196/(-21) - -10)/(4/18). Solve k = -2*g + 3*y, 3*g = 5*g - 5*y + 9 for g.
3
Let h(y) = 17*y - 99. Let c be h(6). Solve 0 = -c*d + 12, j + 3*d - 19 = -2*d for j.
-1
Let c = -4 - -9. Suppose 86*n - 255 = 35*n. Solve -c*y + n = -5*f, -4*y - 5*f + 4 + 0 = 0 for y.
1
Suppose -7*n + 22 = 1. Suppose -3 = -2*p + n. Solve 0 = -l + p, 3*w + l - 5 = w for w.
1
Suppose -4*p + 187 = 3*m, -149 = -p - 2*p - 4*m. Let c = 48 - p. Solve -v - 2 + 6 = f, c*v = -3*f + 12 for f.
4
Suppose -9*k + 48*k = 78. Solve 0 = 2*n + b - 5, -k*n - b + 5*b = 0 for n.
2
Let d(o) = -2*o + 1. Let m be d(-7). Let k be (-24)/3*(-3)/(-2). Let i = k + m. Solve 0 = -2*l - 6, -i*l = -3*q + 6*q for q.
3
Let k(y) = 9*y**2 - y. Let z be k(1). Let n be ((-82)/(-8))/(z/32). Let i = n + -20. Solve 3*o + 3*r = -0*o + i, 5*o + r - 27 = 0 for o.
5
Suppose -4*x = 5*u + 90, -3*u - x + 2 = 56. Let o(p) = -p**2 - 18*p + 2. Let t be o(u). Solve -n - 9 = t*f, 2*n + f - 23 = 7*n for n.
-5
Let m = -39 + 27. Suppose 0 = -5*k - 3*a - 2*a - 40, -3*k - 24 = -a. Let p = k - m. Solve -p = 2*b - 5*b - 4*r, 0 = -5*b - 3*r - 8 for b.
-4
Let d(s) = s**2 - 3*s - 1. Let m be d(4). Let h(o) = -7 + 0*o - 5*o + 8*o**2 + o**3 + m*o. Let v be h(-8). Solve 4*n = i - v, -2*i + 4*n = i - 19 for i.
5
Let c = 9 - 11. Let o be c/((-2)/2)*6. Let r = o - 6. Solve -4*g + r = 2*h, g = -0*h + h + 6 for g.
3
Let c be (-2)/(-14) - (-43)/(-301). Solve 3*o - 5*j - 6 = c, -4*o - 2*j + 9 = 1 for o.
2
Let c(s) = s**3 + 31*s**2 - 28*s + 130. Let d be c(-32). Solve d*q = -0*q - 2*v + 12, v = 2*q for q.
2
Suppose -5 = -5*f - 4*q + 17, -2*q - 34 = -5*f. Let v be -2 - (4/(-3))/(2/f). Solve 4*p - v = 3*x + 2*x, 3*x + 3*p - 15 = 0 for x.
2
Suppose 4*k + 3*c - 15 = 2*k, -c = -3*k + 39. Suppose g - 4*g = k. Let l be 2/8 + 1/g. Solve -5*q + l - 15 = 0, -s + 5 = -2*q for s.
-1
Let a be -7 + 8 - (-5 - -1). Let l be 6/14 + (-36)/84. Let h be (-4)/(-8)*l - -3. Solve -a*k + 13 + 10 = -s, h*s + 25 = 4*k for k.
4
Let h(k) = k**3 - 37*k**2 - 77*k - 24. Let w be h(39). Solve -5*s = 5*l + w, 4 - 1 = -2*s - l for s.
0
Let a(i) = 3*i - 7. Let c(j) = 7*j - 13. Let p(z) = -5*a(z) + 2*c(z). Let x be p(8). Suppose 0 = 4*m - 25 + x. Solve 2*u - 5*h + m + 10 = 0, 0 = -h + 4 for u.
2
Suppose 2*l - 29 = 31. Suppose 0 = -3*h + 2*w + 69, -l = -4*h + 2*h - 4*w. Let q = -17 + h. Solve -q*v = -3*a - 23, -a + 13 = -2*a + 4*v for a.
-5
Let a(y) = y**3 - 5*y**2 - 3*y - 8. Let v be a(6). Let n be (3/6)/(1/v). Let b be ((-4)/(-14))/(n/35). Solve -3*d - 9 = -2*c, 0 = -b*d - 3*c - c - 6 for d.
-3
Let m be -3 + (4 - 0 - 7). Let y(f) = -f - 3. Let a be y(m). Solve 5*r - 3*l - 31 = 0, a*l + 4 = l for r.
5
Suppose 5*l - 240 = -l. Let m = -21 + l. Let y = m + -17. Solve -4*i - 5*f - 27 + 2 = 0, y*f + 12 = -2*i for i.
-5
Let t = -1036 + 1041. Solve -5*j + 3*b = -3, t = -3*j - 10*b + 5*b for j.
0
Let v(q) = -q**2 - 2*q + 18. Let d be v(3). Solve -4*x + 4 = 0, 0 = -d*u - u + x - 17 for u.
-4
Suppose -7*x + h + 24 = -6*x, 81 = 4*x + h. Solve -4*t = 5*g - 2*g + x, -3*t = -3*g for g.
-3
Suppose 3*v + 9*k - 42 = 4*k, 0 = 5*v + 2*k - 51. Let z = 14 - v. Let t = -31 - -45. Solve -2*i - 3*f - t = 0, -z*i + f = 12 + 6 for i.
-4
Let q be (-32)/(-6)*(-24)/(-32). Suppose -2*v + 5*p - 25 = -4*v, -v + 20 = q*p. Solve 5*g + 3*i + 31 = 0, 5*g + 2*i + 29 = -v*i for g.
-5
Let o be (-4)/(12/(-15)) - 20/4. Solve o = r - 4, -3*r + 27 = 5*v - 5 for v.
4
Let r(c) = 2*c**2 + 10*c - 7. Let b be r(-6). Solve -15 = 5*h + b*g, g = 3*h - h + 3 for h.
-2
Suppose 3*f + 17 = 5*s + 7, -4 = -2*s - 2*f. Suppose 4*w - 4*t - 4 = 0, -2*t + 7*t - 1 = s*w. Solve -5 = u, 6 = n - 5*n - w*u for n.
1
Let h(s) = -s*
|
{
"pile_set_name": "DM Mathematics"
}
|
u(-6). Let a be t*((-3)/6 + 0). What is the tens digit of 6/(-2) - (a + 5)?
1
Suppose 0 = k - 3 - 0, -c + 2*k - 2 = 0. Suppose 0 = c*q - 10 + 2. Suppose 5*w + q*i = 256, 50 = w + 4*i - 3*i. What is the tens digit of w?
5
Suppose -20*a = -108*a + 190608. What is the units digit of a?
6
Let v(g) = -16*g - 15. Let s(z) be the second derivative of -4*z**3/3 - 4*z**2 - 5*z. Let y(q) = 5*s(q) - 2*v(q). What is the tens digit of y(-5)?
3
Suppose -77*q - 35*q = -281568. What is the tens digit of q?
1
Let m = -58 + 49. What is the tens digit of (m*(-11)/6)/(6/32)?
8
Let p = -9 - -19. Let g = p - 1. What is the units digit of (-6)/g - (-490)/15?
2
What is the tens digit of 30/(-25)*22840/(-24)?
4
Let z = -6 + 8. Let o be -2 + 1 + z + 1. Suppose -o*l - 27 = -5*l. What is the units digit of l?
9
Let a(y) = y**3 + 30*y**2 + 5*y + 39. What is the units digit of a(-29)?
5
Suppose 32*q - 3379 - 20269 = 0. What is the hundreds digit of q?
7
Suppose -3*s + 3 - 6 = 0, 2*s = -m + 2. Suppose m*n - 2*r - 170 = 0, -2*n + 45 + 36 = -5*r. What is the units digit of n?
3
Let a(v) = v**2 + v + 217. Let s be a(0). Let f = s - 146. Suppose f = 8*g - 89. What is the tens digit of g?
2
Suppose -119*g = -115*g + 16, 0 = i - 2*g - 3683. What is the units digit of i?
5
Let n be (-2)/(2 - (0 - -3)). Suppose 0 = -n*h + 8. Let k = h + 10. What is the units digit of k?
4
Suppose -5*u + c + 5 = 6*c, 3*u - 24 = 4*c. Suppose -w + 2 = f, -w + u*f + 2 = 5. Let l = w + 3. What is the units digit of l?
4
Let p = -377 + 3681. What is the hundreds digit of p?
3
Suppose 23 = -a - 5*x - 0*x, 5*x = -3*a - 19. Let r be (-1*a)/(1 - -1). What is the tens digit of -4*(1 + r + -3)?
1
Let s be -7*4/((-16)/4). Let k be -1*3 - (-10 + s). Suppose -u = -3*i - 27, -5*u + 3*i + 250 - 55 = k. What is the tens digit of u?
4
Let k(v) = 3*v**2 + 3*v + 4. Let w be k(-3). Suppose 65*f - i = 62*f + 45, -f = -i - 15. Let x = w + f. What is the tens digit of x?
3
Suppose 7*a = 4*a. Suppose -108 = 3*r - a*r. What is the tens digit of (-2)/((-34)/r - 1)?
3
Suppose 3*i - 5 = 10. Suppose -5*d = -f + i, f + d - 41 = -3*f. What is the tens digit of 1 + 0 + 1 + f?
1
Suppose 16 = 3*s - s. Suppose 4*n - s = -68. What is the tens digit of (-204)/n + (-3)/5?
1
Let s(p) = p**3 + 12*p**2 - 7*p - 10. Let w be s(-13). Let f = -41 - w. What is the units digit of f?
7
Let o(l) = 15*l**2 + 16*l + 35. Let s(b) = -7*b**2 - 8*b - 17. Let r(x) = -2*o(x) - 5*s(x). What is the hundreds digit of r(-5)?
1
Let l = -160 - -267. What is the units digit of l?
7
Let f(y) = -7*y + 51. Let m be f(9). Let w(o) = o + 4. Let j be w(-5). Let s = j - m. What is the tens digit of s?
1
Suppose -v - 647 + 2954 = 0. What is the tens digit of v?
0
Let i(j) be the third derivative of -j**5/60 + j**4/6 - 2*j**3/3 - j**2. Let t be i(4). What is the units digit of 18/t*2/(-3)?
3
Let h be -38 + 2 + 8/4. Let q = h + 53. What is the units digit of q?
9
Let i(j) = 4*j**2 + 6*j - 19. Let z be i(-7). What is the tens digit of z*((-5)/2)/(-5)*2?
3
What is the units digit of (-1)/(4 + 2 + (-8895)/1482)?
4
Let l(f) = 24*f + 10. Let d(b) = 12*b + 5. Let i(u) = -5*d(u) + 2*l(u). Let h(s) = s**3 - 18*s**2 - 13*s - 116. Let p be h(19). What is the tens digit of i(p)?
1
Suppose -4*b + 93 = x - 70, 0 = 3*b + 4*x - 106. Suppose -2*a = -0 + b. Let r = a - -37. What is the units digit of r?
6
Suppose -4*c - c = -3695. What is the units digit of c?
9
Let f(c) = 5*c - 23. Let v be f(7). What is the hundreds digit of 126/v*152/6?
2
Suppose -6 = 2*z, -l - z = -3*z + 249. What is the units digit of (-15)/(l/2) + (-1220)/(-34)?
6
Suppose 5*t - 2*q + 52 = 0, 0 = -t + q + 3 - 14. Let x be 248/(-20) - (-6)/t. Let i(n) = n**2 + 13*n + 19. What is the units digit of i(x)?
9
Suppose 783 = 45*d - 42*d. What is the hundreds digit of d?
2
Let v = -35 + 36. What is the units digit of -3 - (v - 3) - -49?
8
Let z(u) = 1560*u**2 - 6*u - 4. What is the hundreds digit of z(-1)?
5
Suppose -t - g + 16 = 2*t, 0 = -3*g + 12. Suppose 0*h - t*h - 241 = -o, 944 = 4*o + 4*h. What is the tens digit of o?
3
Suppose 51*r = 31*r + 27320. What is the thousands digit of r?
1
Suppose 0 = -2*i - i + 678. What is the tens digit of i?
2
Let s = 19 - 17. Let w be (46/(-5))/(s/(-20)). Suppose -w = -5*h + h. What is the tens digit of h?
2
Suppose -3*u + 2*k = -u - 8, 2*k + 6 = u. Let o be u/3 - (-721)/21. What is the tens digit of o - 0*3/12?
3
Suppose v = -3, 3*s + 7*v - 3*v = 0. Let i be 62/s + (-1)/2. Let n = -12 + i. What is the units digit of n?
3
Let v = 287 + -256. What is the tens digit of v?
3
Suppose 0 = 15*s + 125 - 13130. What is the units digit of s?
7
Let y(j) = -3*j + 13. Let l be y(4). Suppose -7 = -4*g - w, -2*w - w = 2*g - l. Suppose 6*v - 3*m - 63 = g*v, 0 = m + 1. What is the tens digit of v?
1
Let v = -36 + 67. Suppose -65 = -v*b + 30*b. What is the tens digit of b?
6
Suppose b + 5*s = 4968, -b = 6*b - s - 34704. What is the thousands digit of b?
4
Suppose -44*x = -21*x - 28497. What is the units digit of x?
9
Suppose -9*g + 12 = -5*g. Let x(w) = 44*w - 5. What is the hundreds digit of x(g)?
1
Let v(q) = -25*q + 1853. What is the hundreds digit of v(0)?
8
Suppose -s - 5*g = -3*s + 49, -5*s - g + 82 = 0. Let l = s - 16. What is the tens digit of 483/15 - l/5?
3
Let f(o) = 153*o**2 + 53*o + 177. What is the tens digit of f(-4)?
1
Let x(d) = 2*d + 7. Let y(j) = -7*j - 27. Let n(v) = 22*x(v) + 6*y(v). Let l be n(5). Suppose 2*u = -l*u + 24. What is the units digit of u?
6
Suppose 5*g = -2*c + 3920, 4*g + 3*c = 602 + 2527. What is the units digit of g?
6
Let j be (-1 + 0)/(3/27). Let y = -13 - j. What is the units digit of (-10)/(-14) - y/14?
1
Let b = -488 - -493. What is the units digit of b?
5
Let i(d) = 5*d**2 - 13*d - 46. What is the units digit of i(-10)?
4
Let i(g) = -g**3 + g + 43. Let v be i(0). Let k = v - -6. What is the tens digit of k?
4
Let d be -1 + 4 + 4245/5. Let u be d/30 + 4/(-10). Suppose -u - 76 = -4*f. What is the tens digit of f?
2
Suppose 5171 + 7387 = 13*c. What is the hundreds digit of c?
9
Let y = -35 - -17. Let t be (-1090)/6 + y/54. What is the units digit of (-570)/(-13) + (-28)/t?
4
Suppose 3*t - 3647 = 4*v, 0 = -3*t - 0*t - v + 3637. What is the units digit of t?
3
Let n be 1 + ((-248)/(-2))/(-4). Let a = n - -78. What is the units digit of a?
8
Let w(b) = 28*b**3 - 18*b**2 + 60*b - 2. What is the thousands digit of w(4)?
1
Let k be (1 + -4)*33/9. Let i = 9 + k. What is the tens digit of (6 + i)/(-4)*-27?
2
Let w = 181 - -4609. What is the hundreds digit of w?
7
What is the hundreds digit of -51*(-3 + (-232)/24)?
6
Suppose -a = 4*a - 20. Suppose 5 = 5*f, -2*w - 2*f = -a*f - 4. Suppose -3*p = 4*j - 4, -4*p - 6 = -w*j - 3. What is the units digit of j?
1
Let n be 130/30 - (-4)/6. What is the tens digit of ((-1)/4 - n/60)*-327?
0
Let u(r) = -44*r + 166. Let h(d) = 9*d - 33. Let x(p) = 11*h(p) + 2*u(p). What is the units digit of x(8)?
7
Suppose -l - 4*y + 1375 = 0, 0 = 5*l - 3*y - 0*y - 6783. What is the hundreds digit of l?
3
Let u be 2/(-3 + (-44)/(-12)). Suppose u*o - 3 = -3*x, -6 - 8 = -5*o - 2*x. Suppose 4*a - o*i = 48, -4*a - i + 1 = -37. What is the units digit of a?
0
Let h = -24 + -2. Let g = -41 - h. What is the units digit of (-2)/5 - 471/g?
1
Let a = -43 - -303. What is the hundreds digit of a?
2
Suppose 520 = 8*h - 4608. What is the hundreds digit of h?
6
Suppose -2*b + 4*z + 4 = 0, 2*b + 0 - 4 = -5*z. Suppose -13 + 5 = -b*p. What is the units digit of 2/(2/p*4)?
1
What is the tens digit of 291 + ((-60)/(-6))/2?
9
What is the hundreds digit of (-4)/6*1/((-10)/5595)?
3
Suppose -17*j = -75*j + 74646. What is the units digit of j?
7
Let q = -7 - -9. Suppose 5*p = f - 72, -2*p = -5*f + q*p + 297. What is the units digit of f?
7
Suppose -5 = 5*v + 5*p, v - 4*v - 5*p = -7. What is the units digit of ((-81)/v)/(1/2)?
7
Let x(w) = 2*w**2 + 6*w + 1. Let c(p) = 12*p - 30*p - 3*p**2 + 13*p - 2. Let v(y) = 3*c(y) + 4*x(y). What is the units digit of v(6)?
6
Let s(t) = -t**2 - 13*t - 18. Let o be s(-10). Let c = 9 - 14. Let q = c + o. What is the units digit of q?
7
What is the units digit of 8/((-16)/(-382)) + (-6)/2?
8
Suppose -5*j + 2*y = -2786 + 836, -2*j + 801 = -5*y. What is the units digit of j?
8
Let k(d) = -830*d**3 - 3*d**2 - 7*d - 5. What is the hundreds di
|
{
"pile_set_name": "DM Mathematics"
}
|
.6. Let t = i + -6.9. Sort z, t, -2.
-2, t, z
Let x(h) = 2*h - 16. Let d be x(10). Suppose d*v - 2*v = -10. Sort v, 4, 0, -3 in descending order.
4, 0, -3, v
Let z be (5/10)/(1/(-16)). Let a be (-1)/(-4) + (-42)/168. Sort -1, z, a in increasing order.
z, -1, a
Let h = -0.9062 + -0.0938. Put 4, -350, h in decreasing order.
4, h, -350
Suppose 8*l - 16*l = 40. Put -7, -1, l in ascending order.
-7, l, -1
Let n = -499 + 499.03. Sort 5, -2, n in descending order.
5, n, -2
Let b be ((-44800)/130)/20 + 17. Let r be (-10)/(-24) + 1/4. Sort r, 1, b.
b, r, 1
Let y = -51 - -50.9. Let o = -18 + 18.4. Sort o, 2, y in decreasing order.
2, o, y
Let x be (-9 - -6)*7/(-3). Let n be x/(35/30) - 1. Put 0, 4, n in descending order.
n, 4, 0
Let l be 1/(-2) - 9/6. Let n be (l - -2)*(-6)/12. Suppose -3*o - q + 6 + n = 0, -5*o + q + 2 = 0. Put 0, -5, o in descending order.
o, 0, -5
Suppose -7*c + 15*c - 40 = 0. Put 0, -5, 3, c in descending order.
c, 3, 0, -5
Let d = -40/9 - -14/3. Sort -2, 0.5, -3, d in descending order.
0.5, d, -2, -3
Suppose 5*d - 97 = 58. Let i = d + -33. Sort 5, i, 1, -5 in descending order.
5, 1, i, -5
Let i = 357.9 + -358. Put -0.2, -2/3, -4, i in descending order.
i, -0.2, -2/3, -4
Suppose -2*w + 11 - 9 = 0. Suppose -5*s - 3*h + 12 = 0, 0 = -4*s + 3*s - 3*h. Let m be (5/1 - -1) + -2. Put s, m, w in descending order.
m, s, w
Suppose -14*z + 2536 - 198 = 0. Put -1/3, 0.1, z in ascending order.
-1/3, 0.1, z
Let j be -4 + 2 + 0 + (-24)/(-10). Let h = 13.6 + -13.7. Put -4, h, j, 0.3 in decreasing order.
j, 0.3, h, -4
Let b(h) = -8*h + 75. Let i be b(10). Sort -1, 125, i.
i, -1, 125
Suppose 4*o = -3*c + 13, 4*o - 5*c - 20 = -c. Suppose -5*i = -n - n + o, -4*n + 4*i = -32. Put n, 5, 4 in descending order.
n, 5, 4
Let g be (391/(-68) + 6)*(-1 - 11). Put 3, 6, g in ascending order.
g, 3, 6
Let t be (2/(-10))/((-7)/105). Let l = -280 - -279.8. Sort 2/9, t, 3/4, l in decreasing order.
t, 3/4, 2/9, l
Suppose 3*q - 5 - 7 = 0. Suppose 0 = 4*x - 4*u - 12, -3*x + x = q*u + 6. Let d be (-4)/14 - (-19)/(-7). Sort d, x, -2.
d, -2, x
Let q = 24 + -13. Suppose -27 = 2*c - 5*s, -3*s + q = -c - s. Sort -1/7, 0.2, c in increasing order.
c, -1/7, 0.2
Suppose 510 = 73*c - 175*c. Put -3, c, 3 in descending order.
3, -3, c
Let r = -39.1 + 38.6. Suppose -1 = t - 4. Put r, t, -0.4 in ascending order.
r, -0.4, t
Let w be 4/14 + 74/(-14). Let i = 6946 + -6954. Sort w, i, 3 in descending order.
3, w, i
Let b be 0/((-2)/(-4)*-2). Suppose b = -2*k + k. Suppose -2*h + 6 = -k*q + 4*q, 2*h - 3*q + 15 = 0. Sort h, -10, -5 in descending order.
h, -5, -10
Let t = -865 - -1084. Sort t, -1, -5 in decreasing order.
t, -1, -5
Suppose -36 = 11*a - 23*a. Let y = -0.4 + 0. Sort y, -2/9, 62, a in ascending order.
y, -2/9, a, 62
Let r = 7 + -8.5. Let v = -1 - r. Let b be (-31)/4 + 3 + 5. Sort 4, v, b in descending order.
4, v, b
Let p be (-4)/(-6)*171/133. Put -5, p, 0.2, -1 in increasing order.
-5, -1, 0.2, p
Let y(m) = -m**2 + 5*m - 5. Let f be y(3). Let z(k) = k**3 - 4*k**2 + 3*k. Let v be z(3). Suppose v*w = -w - 5. Sort -3, w, f.
w, -3, f
Let o = -22 + 25. Let u be (-341)/585 - (-12)/30. Let f = -2/117 + u. Put f, 0.4, o in descending order.
o, 0.4, f
Let h = 235 - 239. Sort h, -1, -5, 0 in increasing order.
-5, h, -1, 0
Suppose 2*y - 3*c - 1 = 0, -2*y + c = 2*y - 7. Suppose -q = q + y. Put 1, q, -6 in increasing order.
-6, q, 1
Let i be 2*3/4*-2. Let x = -628 + 623. Sort 2, x, i.
x, i, 2
Suppose 2*i - 4*t = -9*t + 18, -4*t = -8. Sort -4, 1, -1, i in decreasing order.
i, 1, -1, -4
Let w = -85 + 92. Sort w, 5, 4, -1 in descending order.
w, 5, 4, -1
Let c = 23/18 + 2/9. Sort 1/2, -1, c, -18.
-18, -1, 1/2, c
Suppose 0 = 3*i + 2*i - i. Sort 4, 0.5, -3, i.
-3, i, 0.5, 4
Let k = 49 + -32. Suppose 4 = 3*l - k. Sort l, -5, 0, -3 in ascending order.
-5, -3, 0, l
Suppose 0 = -r + 12 - 10. Suppose r*s = -0*s - 6. Put 4, 0.3, s in increasing order.
s, 0.3, 4
Let g be ((-4)/((-60)/(-9)))/1. Let p = -41 - -25. Let f = 11 + p. Put f, g, -1 in increasing order.
f, -1, g
Let v = 0.751 - 4.751. Let q = 3 - 3.1. Sort -0.2, v, q, -5.
-5, v, -0.2, q
Let t(b) = b**2 + 9*b + 8. Let r be t(-6). Let m be (-25)/(-55)*4/r. Suppose 0 = -x + 5. Sort x, 2, m in decreasing order.
x, 2, m
Suppose -8*y - 54 = -7*y - a, -2*a = 5*y + 235. Sort -2, -5, y in decreasing order.
-2, -5, y
Suppose 3*v - 10 + 7 = 0. Let z be (-54)/(-30) - v/(-5). Suppose 0*o + 8 = z*o. Sort o, 0, -1 in decreasing order.
o, 0, -1
Let g be (9/(-18))/((-3)/2). Let z = 7408/15 + -494. Sort z, 1/5, g.
z, 1/5, g
Let j = -74 + 74.32. Sort -3/5, j, -0.5 in decreasing order.
j, -0.5, -3/5
Let f = 9.3 + -10.3. Sort 29/2, 0.2, f in ascending order.
f, 0.2, 29/2
Let d = 846 + -843. Sort -0.3, 0.19, d, -3 in decreasing order.
d, 0.19, -0.3, -3
Suppose 3*o - 3 = -3*x - 2*o, 3*x = 2*o + 3. Let z be (x/((-1)/(-5)))/(20/(-20)). Sort z, 0, -4, -1 in descending order.
0, -1, -4, z
Suppose 0 = 4*k - 2*o, -5*o + 8 = -4*k - 4. Put -6, 10, k, 5 in decreasing order.
10, 5, k, -6
Let h be (100/320)/((-2)/8). Sort h, 3, -76.
-76, h, 3
Let s(f) = f**3 + 26*f**2 - f - 22. Let g be s(-26). Put 5, g, -7 in decreasing order.
5, g, -7
Suppose 308 = 11*t + 275. Put t, 68, -4 in ascending order.
-4, t, 68
Let i be (88/(-385))/((-8)/(-20)). Sort 1, 1.9, i in descending order.
1.9, 1, i
Let k be ((-2)/10)/((-9)/(-60)*-4). Put 0.1, 7/25, 3/4, k in ascending order.
0.1, 7/25, k, 3/4
Let k = -827 + 833. Sort -3, 1, -1, k.
-3, -1, 1, k
Let h = 0.0401 - -3.9599. Let d = 0.5 - 0.3. Put d, 2, h in ascending order.
d, 2, h
Let g = -11 + 14. Suppose 0 = 3*k + h - 9, 3*k + 4*h = -h - g. Suppose 4*x = -3*b - 32, 4*x + 4 = k*b - 0*b. Sort 1, 0, b.
b, 0, 1
Let j be 63/27 + (1 - 2). Let b = 7.88 - -0.12. Let s = b - 8.4. Sort s, j, 0.3 in decreasing order.
j, 0.3, s
Let v(g) = 2*g - 14. Let n be v(6). Let i(b) = -3*b**3 - 1. Let w be i(n). Let x = -25 + w. Put 4, -5, x in decreasing order.
4, x, -5
Let c be ((-60)/50)/(5*8/(-100)). Put -4, c, 0, 8 in ascending order.
-4, 0, c, 8
Suppose -h - 1 = n, 3*h - 4 = 5. Put n, -13, 0, -5 in descending order.
0, n, -5, -13
Let i = 5442 - 5444. Suppose 4*v + v = -20. Sort v, i, 0.04 in increasing order.
v, i, 0.04
Let w = 1.33 - -22.67. Sort -1, -3, w.
-3, -1, w
Suppose 16 = -6*x + 2*x + 4*j, -3*x = j - 4. Let k(f) = -f + 1. Let g be k(0). Let u be (g/(-3))/(3/27). Sort 5, u, x in increasing order.
u, x, 5
Let v = 2.51 + -5.51. Put 3, -3/4, 16, v in ascending order.
v, -3/4, 3, 16
Suppose 0 = -299*n + 282*n - 374. Put -3, n, 4, 2/7 in increasing order.
n, -3, 2/7, 4
Let u(f) = -2*f**2 - 25*f - 7. Let o be u(-12). Let g be (3 - 3) + -2 + -3. Sort 2, o, g in descending order.
o, 2, g
Suppose -5*s = -4*x + 15, 2*s = -1 - 5. Let z = -2229 - -2226. Sort x, -4, z in decreasing order.
x, z, -4
Let d(c) = 13*c + 167. Let x be d(-13). Let k be (-6)/(-15)*-4*5. Put k, x, 0 in descending order.
0, x, k
Suppose -20 = 3*i + i - 2*b, 0 = -i + 3*b - 10. Suppose 15 + 93 = -54*z. Sort i, z, -16 in ascending order.
-16, i, z
Suppose 3*t + 2*t = 20. Suppose -x = t*x. Let i be 1 - (-2)/((-2)/(-1)). Sort x, i, -1 in increasing order.
-1, x, i
Let s(n) = 2*n + 8. Let p be s(-4). Let w(q) = -q**3 + 9*q**2 - 9*q + 6. Let k be w(8). Sort p, 4, k.
k, p, 4
Let g(v) = v**3 + 6*v**2 - 7*v - 6. Let u be g(-7). Suppose -10*d = -11*d + 10. Let k be (-2)/10*d/u. Sort k, -3, 5 in increasing order.
-3, k, 5
Let h be 20/110 + (-79)/495. Let m = 14/45 + h. Let v = -7 + 12. Sort -0.5, m, v in descending order.
v, m, -0.5
Let r = 920.97 + -921. Sort 2, -4, -0.3, r in decreasing order.
2, r, -0.3, -4
Let k = -2004 - -10017/5. Put 2/17, 1/3, 7, k in increasing order.
k, 2/17, 1/3, 7
Let o be 54/((-3)/((-15)/10)). Put 3, 6, o in descending order.
o, 6, 3
Let h = -22 + -46. Let s = h + 69. Sort -0.4, 3, 0, s in decreasing order.
3, s, 0, -0.4
Let x(a) = a**2 + 12*a - 47. Let i be x(-15). Suppose 4*c - 32 = -4*j, -4 = c - 0*j + 4*j. Sort 5, c, i.
i, 5, c
Let k be 0*(-45)/(-75)*5/(-6). Sort k, -2, -3, -53 in decreasing order.
k, -2, -3, -53
Let f = 1000 + -849. Sort -3, -2, f, -4 in increasing order.
-4, -3, -2, f
Let z(l) = -7*l - 59. Let k be z(-8). Put k, -1, 1, -4 in descending order.
1, -1, k, -4
Suppose -g - q - 3 = -4, 4 = -2*q. Suppose -2*v + 20 = 2*v. Suppose v + 5 = -2*k. Sort g, -1/2
|
{
"pile_set_name": "DM Mathematics"
}
|
z - 31 = -3*t. Suppose z*o - b = 3*b + 68, 0 = 2*o - 3*b - 33. Let w be ((-3)/o)/(1/4). Is w greater than 0?
False
Let k = -0.09 - 16.81. Let u = k - -17. Is u at least 11?
False
Let z(k) = -k**2 - 10*k - 7. Let u be z(-9). Let m(o) = -o**2 - 3*o + 2. Let d be m(u). Let h = d + 5. Which is smaller: -4 or h?
-4
Let r be (-2 - -2) + (-8)/(-8). Suppose 3*d = r + 5. Is 8/5 > d?
False
Let w be 23/4 - 2/(-8). Suppose 3*a = w*a - 6. Which is greater: 0 or a?
a
Suppose 4 = 3*g + g. Let o(t) = t + 1 + 5 + 0. Let b be o(-6). Do b and g have different values?
True
Let d = 2.4 - -0.6. Let z = d + -6. Let n = 0.1 - 0.1. Is z at most n?
True
Suppose 2*a = 4*g - 0*a + 18, 17 = -g - 2*a. Let n = -5 - g. Suppose 2*k - o = -n, 5*o - 1 = -2*k + 9. Is k equal to 2/7?
False
Let p = 1.1 + -18.1. Is p >= -0.2?
False
Let q = -779/3210 + 7/30. Which is smaller: 1 or q?
q
Let z = -1/8 - -1/72. Suppose 5 = 2*w + 3*w. Which is greater: w or z?
w
Let v(h) = -h + 9. Let q be v(-7). Suppose 17*f - 2 = q*f. Is 10/3 < f?
False
Let m(z) = -z - 14. Let x be m(-14). Let q be (-1 + 0)*(-2 + 1). Which is smaller: x or q?
x
Suppose 0 = x - 0*x - 5, 0 = -2*t + 3*x - 19. Suppose 6 = -4*q - 2. Is t <= q?
True
Let y(o) = -2*o + 6. Let f be y(5). Let h = 0 - f. Is h equal to 4?
True
Let t = 4 + 0. Suppose t*k + 0 = 8. Is 1/2 bigger than k?
False
Suppose 2*p + 6 = 4*r, -2*p - 5*r = 3*p - 15. Suppose 3*x + 2*t = 6*t + 3, -p = -x + 4*t. Suppose -8 = 2*i, j + 11 = -4*i - 5. Is x bigger than j?
True
Let m(y) = -y**2 + 5*y - 2. Let l be m(4). Suppose r + l*r = 0. Which is greater: r or -2?
r
Suppose 0 = -z + 3*z + 2. Let u = -122 - -1100/9. Which is smaller: u or z?
z
Suppose y = -0*y - 8. Is -8 less than or equal to y?
True
Let w = 44 + -43. Is w greater than or equal to 10/9?
False
Let l(c) = c**3 + c**2 + 2*c + 7. Let y be l(0). Does 7 = y?
True
Let x be 13/6 + 2/(-12). Is x < -1.4?
False
Let a be 1/(1/(-3)*-1). Let v be (3 - a) + 0/(-2). Let c = v - 0. Which is greater: c or -1/4?
c
Let c(d) be the third derivative of -d**6/120 - d**5/20 - d**4/8 - d**3/3 + d**2. Let t be c(-2). Is t < 12/11?
True
Let c be -2*((-9)/(-6) - 2). Is c at least as big as -4?
True
Let j = -91.1 - -91. Is 2/55 greater than or equal to j?
True
Let l(w) = w**2 + 5*w + 6. Let s be l(-4). Suppose 2*p = 10 + s. Suppose p*m = 3*m. Which is greater: m or 4/3?
4/3
Let q = -1 + 3. Let d be ((-4)/8)/((-2)/4). Suppose -q*j + 1 = -d. Is j <= -1?
False
Let b = 0.2 - 1.2. Let q = -1.98 - -0.18. Let u = q + 1.9. Is u less than or equal to b?
False
Let y be 288974/(-67044) - (-2)/(-4). Let a = y + 642/151. Let l = -4/37 + a. Which is bigger: -1/2 or l?
-1/2
Suppose 7 = -3*s + 1. Is s not equal to 1?
True
Let d = -18 + 18. Is d less than -2/29?
False
Suppose 5*h + 12 - 47 = 0. Is h at most 8?
True
Suppose 5*k = -2*a - 3, -3*k = 4*a - k - 2. Is a not equal to 2/9?
True
Let b be ((-6)/(-9))/((-8)/(-645)). Let k = b + -53. Let s = k - 1. Is 1/3 less than or equal to s?
False
Let i = -43.1 - -45.99. Let a = 0.11 + i. Is a smaller than 0.1?
False
Let u = 1 - 5. Let o be 0 - 4/u - -2. Is 5 bigger than o?
True
Let t(z) = -z - 5. Let n be t(-6). Let h = -2 + n. Let y = 44 - 44.1. Which is bigger: y or h?
y
Let o be 2/6*(9 - 0). Suppose -o*h + 4*h + 142 = 0. Let f = h + 1280/9. Is 0 at most f?
True
Let h = 271 - 270.6. Let o = 2.9 - 3. Is h <= o?
False
Let y = 1.6 - 1.5. Which is smaller: y or -4?
-4
Let q(k) = -k - 1. Let w be q(-6). Suppose -w*d = 5 - 0. Which is bigger: d or -0.1?
-0.1
Suppose 0 = 5*t + 2*o + 9 - 10, 3*t + 4*o = -5. Is -1 <= t?
True
Let z = 43 - 18. Is z > 25?
False
Let s = -1.8 + 14.8. Let l = -12.9 + s. Let z = 0 + 0.3. Which is smaller: l or z?
l
Let t(c) = 2*c**2 + 12*c + 2. Let n be t(-6). Let f be (n/(-2))/(2/(-2)). Which is bigger: 2 or f?
2
Suppose -g = r - 4*g - 13, -g = 2*r - 12. Suppose -2*c = -17 + 7. Suppose 0 = c*n - r + 2. Is 1/2 at least n?
False
Let s be 2/6*(2 - 0). Suppose -26*j + 27*j = 0. Which is smaller: j or s?
j
Let d(i) = -9*i + 46. Let a be d(6). Which is smaller: a or -15?
-15
Let b(d) = -d - 2. Let s be b(-2). Suppose 27 = -5*f + 2*o, 5*o + 27 - 7 = 0. Let y(i) = -i - 8. Let q be y(f). Is s smaller than q?
False
Let h(i) = -i**3 - i**2 - i + 17. Let q be h(0). Which is smaller: q or 15?
15
Suppose -5*l = -20 - 280. Which is bigger: 62 or l?
62
Suppose 0 = -5*u + 3 - 13. Let c be 1 + u - 44/(-4). Let q be (-6)/c - 1/(-5). Is q != -2/5?
False
Let m be 74/(-30) - 2/6. Let h = -11/5 - m. Which is smaller: h or 2?
h
Let v = 18 + -17. Which is smaller: v or 2?
v
Let k be (8178/(-4))/((-33)/4). Let t = 248 - k. Let d be (1/(-2))/((-4)/(-8)). Is t > d?
True
Let m = 1.2 + -1.1. Do 2 and m have the same value?
False
Let y(x) = -x**3 + 4*x**2 - 3*x. Let c be y(3). Let b(l) = -l**3 - 3*l**2 + 1 - l**2 + l**2. Let v be b(-3). Which is bigger: v or c?
v
Let i = 7.1 - 7. Let a = 0.26 + -0.36. Which is bigger: a or i?
i
Suppose f = 2 - 1. Let j be (6/(-9))/(2/(-9)). Suppose -4*r = -u - 9, 0 = 4*r - j*u + 4*u + f. Which is smaller: 0 or r?
0
Let v be ((-4)/(-10504))/((-2)/(-496)). Let b = -6/101 - v. Which is greater: -1 or b?
b
Let j be 28/6 - (-2)/6. Suppose 3*f = j*f. Let o = -201/2 + 1811/18. Is f not equal to o?
True
Let r = 11 - 6. Suppose 3*v + 2*x = -29, v - 3*x = -r*x - 11. Let h = v - -13. Is 1 equal to h?
False
Suppose 2*s - 2*n = 8, -3*s + 5*n = 3*n - 11. Is 2 greater than s?
False
Let p be -3 + 1 - (1 - 1). Suppose 2*r - 36 = -4*r. Let z be -2 - p/(4/r). Is 1 < z?
False
Let y = -2305 + 4216. Let i be 448/y + 4/(-14). Is i greater than or equal to 0?
False
Let j be 35/(-21) + 1/(-3). Let r = -2/7 - -4/7. Which is smaller: r or j?
j
Let n = 336 - 4372/13. Which is smaller: -2/7 or n?
n
Suppose 4*r - 3*f + 2 = -0, 0 = -4*r + 4*f. Are r and -9/5 equal?
False
Let f = 0 + 5. Suppose f = 2*a + 3*a. Let s be 8/28 + (-4)/63. Is a at least as big as s?
True
Let h = -0.2 - -0.3. Which is greater: 9 or h?
9
Let q be ((-8)/(-3))/((-4)/(-6)). Suppose 0 = -3*c + 3*x - 15, c + 3*x = -1 + q. Let t = c + 5. Which is smaller: 1 or t?
1
Suppose -3*z - 2*z = 10. Let a = 2 + -7. Let n be (0 + (-1 - z))*a. Are -6 and n equal?
False
Suppose 0*b + b = -1. Suppose 48 = 2*g + 4*z, 5*g + 0*z - 108 = -4*z. Let p be ((-38)/g + 2)*4. Are b and p unequal?
True
Suppose 5*h + 4 = 7*h. Suppose 2*g = -5*i - g + 32, -h*g = 4*i - 24. Suppose 7*p = i*p. Is -4/5 less than or equal to p?
True
Suppose 5*g = 6 + 9. Suppose 4*f + 5*t + 7 = 0, 2*f + 5*t + 4 = 3*t. Let q be 1/(-2)*(f + g). Do 0 and q have different values?
False
Suppose 2*u - 12 = 3*p, -5*p + 3*u = -0 + 19. Is 21 greater than p?
True
Let a be -5*(3 + -2)/(-1). Suppose 0 = -h + 5*f - 17, -a*f + 15 = -0*f. Let c be (24/14)/1 + h. Is c equal to 1?
False
Let s be 46/(-6) - 4/12. Let r(k) = k**3 + 9*k**2 + 7*k - 5. Let l be r(s). Let h be (2/(-32))/(l/6). Which is greater: -1 or h?
h
Let b(t) = t**3 - 4*t**2 - 6*t + 6. Let w be b(5). Let j be (-4 + 3 - w)*4. Let p = 9 + j. Does p = 2/25?
False
Let f(k) be the second derivative of k**4/12 - k**3/2 + 2*k**2 - 2*k. Let c be f(3). Which is greater: -1 or c?
c
Let f(z) = -5*z - 1. Let u be f(-1). Let q be (u/(-8)*2)/37. Are 0 and q unequal?
True
Let g = -101 + 119. Is 17 at least as big as g?
False
Suppose 4*x + 6 = 5*x. Is 4 at most as big as x?
True
Let f = 37 + -32. Is f smaller than -0.2?
False
Let i(q) = q**3 - 3*q**2 + 1. Let o be i(3). Suppose 0 = a + 5*f + o + 5, -f = -1. Which is smaller: a or -1?
a
Let a(i) be the first derivative of -i**4/4 - 13*i**3/3 - 13*i**2/2 - 13*i - 5. Let z be a(-12). Is -4 smaller than z?
True
Let h(x) = 0*x**3 + 8*x**2 - x**3 + 8*x + 0 - 1. Let c be h(9). Is -10 >= c?
True
Let y(w) = w**2 + 11*w - 10. Let q be y(-11). Let b be 10/25 + (-26)/q. Let m be 1*b*4/6. Is m bigger than 1/2?
True
Let k be (-48)/(-27) + 2/(-1). Let y = 0.5 - 0.3. Is y smaller than k?
False
Let a(d) = d**2 - 4*d - 1. Let h = 10 + -6. Let b be a(h). Which is smaller: 1 or b?
b
Let v be (-14)/(-49)*7/9. Which is bigger: 0 or v?
v
Let k = 12 + -1. Let h be (-1 + 2)/((-9)/(-144)). Let w = k - h. Is -5 at most w?
True
Let o be 4/251*(45/(-20) + 2). Does -1 = o?
False
Suppose -5*a + 5*q - 4 = 11, 4*q - 12 = 0. Is -1/13 > a?
False
Let d be (-345)/(-10)*(5 + -3). Which is greater: d or 68?
d
Let k = 51 + -33. Which is bigger
|
{
"pile_set_name": "DM Mathematics"
}
|
3*r).
-203*r**5
Expand 33*r**5 + r**5 + 13*r**5 + (0*r + 0*r - r**3)*(-63 + 63 + 14*r)*(r + r - r).
33*r**5
Expand (4*w - 2*w + 0*w + 4)*(395 - 395 + 12*w).
24*w**2 + 48*w
Expand (164 - 14*f - 164)*(2*f - 3*f + 4*f).
-42*f**2
Expand (-2*x - 2*x + 5*x)*(-2 + 6 - 2 + (-4 + 2 - 5)*(-3 - 2 + 0) + 5 - 3 + 5 + 0 + 1 + 1 - 2 + 2 - 1 - 5 + 1 + 3 + (2 + 0 + 0)*(-1 - 3 + 3)).
42*x
Expand (6 + 1 + 1)*(-13*a - 30*a + 9*a) + a - 4*a - 9*a.
-284*a
Expand (-3*d**2 - 2*d**2 + 4*d**2)*(-48 + 48 - 34*d**3) + (-d**3 + d**3 + 2*d**3)*(d**2 + d**2 - 3*d**2).
32*d**5
Expand (-34*b**2 + 0*b**2 - 5*b**2)*(-b - 1 + 1)*(0 - 1 + 3).
78*b**3
Expand (-10 + 335*a - 699*a + 349*a)*(-3*a + 4*a + 7*a).
-120*a**2 - 80*a
Expand (6 + 1 - 9)*(-1 + z + 1) + 5*z - 3*z - 3*z - 13 + 13 - 7*z.
-10*z
Expand (-4 - 1 - 6)*(-3*k**2 - 2*k**2 + 2*k**2)*(3 - 3 + 2*k)*(-4*k + 0*k + 5*k).
66*k**4
Expand -7*f - 687 + 687 + (0 + 0 - 2*f)*(0 + 4 - 2) - 2*f - 2*f + 3*f.
-12*f
Expand (4*s**3 - 6*s**3 + 0*s**3)*(-22 - 125 - 16 - 24).
374*s**3
Expand (2*v**3 + 3*v**2 - 3*v**2)*(0*v + v + 0*v) - 2*v + 2*v - 3*v**4 - v**4 - 4*v**4 - 18*v**4.
-24*v**4
Expand (-8*n + 7 - 7)*(2 - 2 - n) + (3*n - 4 + 4 + (-1 + 0 - 1)*(-2 + n + 2))*(-5 - n + 5).
7*n**2
Expand (-1035 + 8*y**4 + 2*y**3 - 9*y + 1041 + 8*y)*(y - 5*y + 3*y).
-8*y**5 - 2*y**4 + y**2 - 6*y
Expand (320 - 320 + 28*f**2)*(-3*f + 4*f + f + (1 + 0 - 3)*(-2*f - 4 + 4)).
168*f**3
Expand 11*w**3 - 11*w**3 + 7*w**4 + (0 - 2*w + 0)*(w - w - 2*w**3) - w**4 + 3*w**4 + 0*w**4.
13*w**4
Expand (-4320*x**2 + 8642*x**2 - 4324*x**2 - 429*x**3)*(-2*x - x + 2*x).
429*x**4 + 2*x**3
Expand (207*m - 380 + 145*m + 380)*(-4*m + m**3 + 4*m).
352*m**4
Expand (50 - 49 - 95*j - 58*j)*((-5*j + 3*j + 3*j)*(-3 + 2 + 3) - 1 + 1 + 2*j - j - 2*j + 4*j).
-765*j**2 + 5*j
Expand 5*p**5 - 47*p**5 - 3*p**5 + (-2*p**2 - 1 + 1)*(-p + p + 10*p**3).
-65*p**5
Expand (5 - 11 - 4)*(-4 + 4 + 2*c**2)*(-2*c**2 + 5*c**2 - 4*c**2).
20*c**4
Expand (-2*r + 0*r + 0*r)*(-2*r**3 - 4*r**2 + 4*r**2) - 4*r**2 + 4*r**2 - r**4 + 1676 - 23*r**4 - 1676.
-20*r**4
Expand (-4*m**2 + 2*m**4 + 4*m**2)*(-1 + 3 - 4 + (-1 + 3 - 1)*(5 - 1 - 3) + 2 - 2 + 2 + 529 - 904 + 525).
302*m**4
Expand (-2*x**3 + 4*x**3 - x**3)*(96*x**2 + 381*x**2 - 72*x**2 + 603*x**2).
1008*x**5
Expand (-9 + 9 - 3*g**2)*(2 - 3 - 1)*(3*g**3 - 5*g**3 + 82*g**2 + 203*g**2).
-12*g**5 + 1710*g**4
Expand (-2*y**2 + 2*y**2 - y**2)*(-2*y + 45 - 9 - 4)*(-1 - 2 + 1).
-4*y**3 + 64*y**2
Expand 1032*r**2 - 580*r**2 - 588*r**2 + (4*r - 3*r - 2*r)*(r + r + 0*r).
-138*r**2
Expand (3 + 1 - 1)*(-7*b - 16 + 16)*(-3 + 7*b**3 + 3)*(4 + 3 - 3).
-588*b**4
Expand (-8 + 16 - 64 + 17)*(0*o + o - 3*o).
78*o
Expand (3*q + 4*q - 6*q)*(-4*q**3 - 27 + 7*q**3 + 26).
3*q**4 - q
Expand (-11*i**3 + 7*i**3 + 6*i**3)*(-3*i + 1 - 1) - i**4 + 3*i**4 - 5*i**4.
-9*i**4
Expand (-24 + 11 + 19)*(-h**2 + h**2 - 3*h**4).
-18*h**4
Expand (-2*r - 10*r**2 - 3*r - 184*r**2)*(1 - 1 - 2*r**3).
388*r**5 + 10*r**4
Expand 18*k**2 - 18*k**2 + 4*k**3 + (1 - 27 + 0)*(-1 - k**3 + 1).
30*k**3
Expand (-s**2 + s**2 + 3*s**3)*(-2 + 4 - 4) + (s**2 - 11*s**2 + 4*s**2)*(-2 + 2 + s) + 6*s**3 - 2*s**3 - 2*s**3.
-10*s**3
Expand ((1 - 21 + 3)*(-2 - 4 + 3) + 1 - 3 + 3)*(-2*h**2 + 3*h**4 + 2*h**2).
156*h**4
Expand (-128*s - 384*s - 120*s + 58*s)*(s - 4*s + 5*s).
-1148*s**2
Expand (1 + 2*t - 1 - t + 1 - 1 + (-2 + 1 - 1)*(2*t + 2*t - 5*t))*(-t**2 + 4*t + 2*t - 2*t).
-3*t**3 + 12*t**2
Expand 81*v**2 + 74*v - 72*v - 79*v**2 + 11 + (1 + v**2 - 1)*(2 + 0 - 1).
3*v**2 + 2*v + 11
Expand (3*v**3 - 4*v**3 + 3*v**3)*(17 - 17 - 9*v)*(-63*v + 13*v - 100*v).
2700*v**5
Expand (t**3 + 0*t**3 + 4*t**3 + (3*t - 3*t - t)*(4*t**2 - 2*t**2 - 3*t**2))*(-11 - 47 + 12)*(2 + 1 - 4).
276*t**3
Expand (4*b**4 - 6*b**4 + 3*b**4)*(1 + 4 - 3)*(0 + 4 - 2)*(-453 - 498 + 801).
-600*b**4
Expand (0*n**3 + 2*n**4 + 0*n**3)*(23 - 6 + 12 + (-2 + 1 + 3)*(-1 + 1 - 2)).
50*n**4
Expand (2*y - 4*y + 0*y)*(2*y - 1 + 1) + (0*y**2 + y**2 - 2*y**2)*(211 - 38 + 102).
-279*y**2
Expand 2*o - 2*o + 7*o**2 - 8*o + 0 + 0 + 2*o**2 + 3*o**2 - 2*o**2 - 2*o**2 + (-1 + 4 - 1)*(o**2 - 2 + 2).
10*o**2 - 8*o
Expand (-4 + 2 + 0)*(2*y + 0*y - 3*y)*(7 - 2 - 3)*(-17*y + 35*y + 6 - 3).
72*y**2 + 12*y
Expand (30 + 51*w + 45*w - 98*w)*(2*w + 3*w - w).
-8*w**2 + 120*w
Expand -3*q**2 + 5*q**2 - 7*q**2 + (-1 + 0 - 1)*((q + q + 0*q)*(-q - 3 + 3) + 240 - 22*q**2 - 240 + q**2 + q**2 - 4*q**2).
47*q**2
Expand ((4*i**2 + i**2 - 3*i**2)*(-1 + 1 + 2*i**2) - 3*i**2 + 2*i**4 + 3*i**2)*(138*i - 5263 + 5263).
828*i**5
Expand (o - 8*o + 3*o)*(9*o - 3*o + 6*o).
-48*o**2
Expand (-3 - 1 + 0)*(1 - 1 - 2)*(2*g + 8*g + 17*g).
216*g
Expand (-2*j + 8*j - j)*(2*j + 4*j + 4*j) + (2*j + j - j)*(1 - 2*j - 1).
46*j**2
Expand (105*l - 6848 + 6848)*(4*l**3 - 4*l**3 + 3*l**3).
315*l**4
Expand (-7 + 6 - 16)*((5 - 2 - 10)*(t**4 + 1 - 1) - t + 3*t**4 + t).
68*t**4
Expand (1 - 3 + 1)*(-191*j + 191*j + 17*j**4)*(-6*j + 8*j + 8*j).
-170*j**5
Expand (1 - 1 + 2*s)*(-1 - 4 + 0) - 11*s - 9*s + 9 + 21*s.
-9*s + 9
Expand (-9 + 17 - 5)*(40 - 40 + 12*v).
36*v
Expand (-2*i - 1 + 1)*(2*i + i - 5*i) + (-96*i + 4*i + 8*i)*(-2*i + 7*i - i).
-332*i**2
Expand (1 - 11 - 1)*(r**4 + 8*r**2 - 8*r**2 + 3*r**4 - 2*r**4 + 0*r**4 + (2*r**4 + 0*r**4 - 3*r**4)*(1 + 1 - 3) + 2*r**4 - 1 + 1).
-55*r**4
Expand (3 + o - 3)*(-20 + 90*o**4 + 20).
90*o**5
Expand (167*p - 159*p - 57*p - 168*p - 202*p)*(-2 - 5 + 3).
1676*p
Expand (10 + 4 + 7)*(24*m - 24*m - m**3).
-21*m**3
Expand ((-6 + 4 + 1)*(-2*r + 0*r + 4*r) + r - 2*r + 0*r)*(-177*r**2 + 2*r + 112 + 86*r**2 + 89*r**2).
6*r**3 - 6*r**2 - 336*r
Expand 0 + 2*h**2 + 0 + (-17 - 47 - 18)*(0*h - h + 2*h)*(-4*h + 2*h + 3*h).
-80*h**2
Expand (-3*t**3 - 2*t + 2*t)*(125*t**2 - 182*t**2 + 57*t**2 + 182*t**2).
-546*t**5
Expand (4*k - k - 5*k)*(-257*k + 24 - 255*k + 514*k).
-4*k**2 - 48*k
Expand -815 + 815 - 48*z**2 + 265*z**2 + (-2*z - 5*z + 6*z)*(z + 2*z - z) + 2*z**2 + 5*z**2 - 2*z**2 - 5*z**2 + 4*z**2 + 3*z**2.
222*z**2
Expand (0 + 0 + d)*(-2*d - 2 + 2) - 3*d**2 + 6*d**2 - 2*d**2 + (8*d + 75*d + 2*d)*(4*d + d - 4*d).
84*d**2
Expand (-1 - 2 + 1)*(-u + 40*u + 37*u) + (-3 + 1 + 0)*(-2*u + 3*u + 0*u) - 5 + u + 5.
-153*u
Expand 10*c + 3*c**2 + 3131*c**4 - 3130*c**4 + 8*c + (0*c**2 - 3*c**2 + 5*c**2)*(4*c**2 - 2 + 2).
9*c**4 + 3*c**2 + 18*c
Expand 303 - 614 + 311 + 290*r + (r - 1 + 1)*(-2 + 1 - 1).
288*r
Expand 20*g**2 - 21*g**2 - 11*g**2 + (4 - 2*g**2 - 4)*(4 + 2 - 5).
-14*g**2
Expand 0*k + 0*k + 2*k + (-5 - k + 5)*(2 - 3 - 8) + (-3 + 3 + 1)*(-2*k - 1 + 1).
9*k
Expand ((-1 - 2*s + 1)*(-5 + 1 + 6) + 2*s - 3*s + 3*s + (-1 + 0 + 3)*(-s + 4*s - s))*(25 - 25 + 14*s**2).
28*s**3
Expand (3 + 0 - 2)*(-3 + 3 - 3)*(u + u**3 - 2*u**2 + 2*u**2)*(6 + 11 - 15 - 2*u).
6*u**4 - 6*u**3 + 6*u**2 - 6*u
Expand 10*n + 18*n - 14*n - n**3 + (-4*n - n + 3*n)*(0*n**2 + 0*n**2 - 2*n**2) + 3*n**3 + 3*n**3 - 5*n**3 - 1 + n**3 + 1.
5*n**3 + 14*n
Expand (0*g**3 - g**3 - g**3)*(2 - 10 - 1) + g**3 - 4*g**3 + 0*g**3 - 2*g**3 + g**3 + 3*g**3.
17*g**3
Expand 3*t**4 - 5*t**4 + 6*t**4 + (-t**3 + 2 - 2)*(t + 5*t - 4*t) + (5 - 36*t - 5)*(-3*t**2 - t**3 + 3*t**2).
38*t**4
Expand 180*k + 15488 - 15488 + (1 + 1 - 4)*(-2*k + 3*k + 2*k).
174*k
Expand (-2 - 1 + 4)*(-1463*z + 1868*z + 2103*z).
2508*z
Expand (4 - 2*w - 4)*(2 - 3 - 1)*(-104 + 246 - 98).
176*w
Expand (-2*s**3 + 2*s**3 - 2*s**4 + (-1 + 1 - 3*s)*(2*s**3 + 4*s**2 - 4*s**2) - 9*s**4 + 10 - 10)*(4 + s - 4).
-17*s**5
Expand (-3*g + 2*g - g)*(-17 + 5 - 18 + 2 - 2 - 2 + (0 + 2 - 3)*(-1 + 0 - 1))*(3*g**3 - 3*g**3 - 3*g**4).
-180*g**5
Expand (-64*p**2 - 84*p**2 + 39*p**2)*(-4*p + 2*p**2 + 4*p) - 11 + 11 + p**4.
-217*p**4
Expand (-4*r - 5*r - 5*r)*(-4*r - 6*r - r).
154*r**2
Expand (-3 + 2*c**2 + 3)*(2 - 2*c - 2)*(302*c**2 - 891*c**2 + 273*c**2).
1264*c**5
Expand (-2 + 1 + 0)*(3 - 5 - 2)*(0 + 0 - k)*(-8 + 7 - 14).
60*k
Expand (4 + 2 - 5)*(-9349 - 236*r + 9349)*(5*r - 3*r - 4*r).
472*r**2
Expand (-2*q + 48*q - 5 - 17*q)*(1 - 1 + q).
29*q**2 - 5*q
Expand (17*m - 5*m + 10*m)*((-3*m - m + 5*m)*(-3 + 7 - 2) + 2 - m - 2 + (-5 + 4 + 2)*(4 - 4 + 4*m)).
110*m**2
Expand (1 - 2*v**2 - 1)*(0 + 0 - 2*v**2) + (2179 - 2179 - 93*v)*(v**2 + 3*v**3 - v**2) + (-2*v + 2*v - v**3)*(0*v + 2*v - v).
-276*v**4
Expand ((2*x - 2*x**2 - 13*x**2 - 3*x)*(0*x + 0*x + 4*x**2) + 1 + x**4 - 1)*(-5 + 3 - 1).
177*x**4 + 12*x**3
Expand (-2
|
{
"pile_set_name": "DM Mathematics"
}
|
((1786/(-950))/(7/(-105)))/(54/90).
47
(-54*61/(-6588))/(((-8)/(-12))/((-7)/(-2)))
21/8
Evaluate (-10)/78*((-2562)/(-61))/(-630).
1/117
(16/16)/(((-2)/30)/(3077/543))
-85
5920/185*(1/(-6))/((-22)/(-66))*1
-16
What is (6030/2345)/(351/(-63))?
-6/13
((-2624)/(-738))/(((-28)/378)/1)
-48
What is the value of (-6)/(-1)*-247*66/22572*18?
-78
Calculate (471/157)/((-17)/(1564/48)).
-23/4
Evaluate ((-1175334)/22072)/(6/(-8)).
71
((-960)/(-1008))/(((70/175)/(12/(-10)))/(-3))
60/7
Evaluate ((-120)/(-2520))/(1/(5/((-5)/3)))*6.
-6/7
(-18)/40*36*80/(-1824)*(-4)/6
-9/19
(545258/6873)/((-8)/(-12))
119
What is the value of 8/(6/(-3))*(-255)/(-630)*21?
-34
What is 16566/(-13805)*-3*(-10)/81?
-4/9
Evaluate (-22)/3*3*(685/(-411))/(10/3).
11
Evaluate (((-273)/(-7))/819)/(7/(189/2)).
9/14
Evaluate 1/((10981/8201)/79).
59
Evaluate (-60)/66*440/(-16).
25
What is the value of 48/9*(-81)/(-2)*4/((-1408)/(-88))?
54
Calculate (-774)/(-645)*(5/(-2))/(9/54).
-18
Calculate (589/(-11780))/((-1)/1160).
58
Evaluate 9/(-20)*(20/14)/((-1560)/(-1820)).
-3/4
(-36)/(-15)*120/54*37/(17760/760)
76/9
Calculate 200/(-8)*46/(-897)*-13*3/(-2).
25
What is (-91*2717/(-78078))/((-1)/24)?
-76
What is the value of 192/240*(-30345)/(-476)?
51
What is (((-143685)/(-1240))/309)/(78/4)?
1/52
((102/(-17)*5/345)/(-2))/((-1)/(-3))
3/23
What is 36/((-198)/11)*((-27)/1611)/(-3)?
-2/179
91*1850/8880*8/(-10)
-91/6
What is the value of 2/(-2)*2*(630/1596)/15?
-1/19
What is 28*(-120)/675*96/(-1024)?
7/15
-290*(399/(-70))/57
29
What is 2*7/(17*(-42)/(-357))?
7
Calculate (1/29)/((4/16)/(12*(-2)/96)).
-1/29
Evaluate (-1645)/(-282)*(-2)/14*-14*(-20)/6650.
-2/57
(-99)/36*(-6435)/(-84942)
-5/24
Calculate (10292/(-1395))/(-83)*(-18)/4.
-2/5
What is ((-20)/30*(-3)/(-6))/((-6)/(12*-51))?
-34
Calculate ((-2)/4)/((-13)/(-65))*(59136/140)/(-32).
33
What is (1447/5788)/((-2)/3*1/4)?
-3/2
8/5*638*(-43)/7568
-29/5
(132/(-2))/(4/(408/(-102)))
66
Evaluate (-10529)/(-21058)*(-26)/1.
-13
(-18)/(-12)*232/3828*-1562
-142
Calculate 2/(1/((((-3675)/56)/5)/((-12)/(-16)))).
-35
What is the value of (15/(-9))/(330/4554)?
-23
What is (((-75)/54)/5)/(615*(-69)/2484)?
2/123
Calculate ((-2)/5)/(1758/(-118665)*138/(-4)).
-18/23
Calculate (164/3)/((37664/(-321))/176).
-82
What is (-1)/(-2)*-115*560/3220?
-10
(-11700)/6825*(-5)/((-44)/42*3)
-30/11
(-33)/((-1089)/(-220))*7/1456*13
-5/12
Calculate (6/(-12)*28)/(166/332).
-28
What is -8*(2622/69)/(-8512)?
1/28
What is (-1)/(11/(-6))*((-23)/((-23)/(-11)))/5?
-6/5
((-24)/14)/(6941376/(-207648))
2/39
8/(-7)*(84/(-264))/(8*14/168)
6/11
What is (((-9144)/(-6))/(-127))/((-66)/(-2))?
-4/11
1*-19*((-2)/90)/(5/(1260/(-28)))
-19/5
((-24)/(-10)*3/((-378)/(-40)))/(88/132)
8/7
Calculate (425945/(-19659))/((-5)/12).
52
416/24*-15*5/(-100)
13
(10/36)/((2760/2700)/46)
25/2
What is (-13)/13*((-10)/15)/(8/(-108))?
-9
((-42)/(-9)*630/7350)/(2/60)
12
What is the value of 3/198*76/(342/18)?
2/33
What is ((4/(-15))/(72/(-180)))/(55/(93555/(-72)))?
-63/4
What is the value of ((-325)/(-14820)*-24)/((-11)/19)?
10/11
Evaluate ((-168)/(-35))/6*((-4)/84)/((-108)/(-42)).
-2/135
Calculate (((-1)/3)/((408/17)/(-24)))/((-2)/(-6)).
1
What is ((-795)/159)/((114/171)/(26/(-3)))?
65
((-38)/(-1)*1)/((8/4)/(24/(-8)))
-57
Evaluate ((-6)/((-396)/(-517)))/(4/18)*(-228)/(-342).
-47/2
Calculate -22*(-2)/6*((-3)/5)/((-204)/(-1020)).
-22
Evaluate ((-28)/(-1))/2*(-2316)/579.
-56
What is the value of 13/(-78)*-3*((-8510)/(-483))/37?
5/21
What is the value of ((-1015)/(-14))/(-29)*(-5)/(50/8)?
2
Calculate ((150080/(-120))/(-56))/(5/(-60)*4).
-67
Calculate -3*(-10)/(-12)*((-308)/4895)/7.
2/89
2/((44/2508)/((-35)/140*8/6))
-38
What is the value of (93/(-1395))/(12/20)?
-1/9
Calculate (-99)/(-44)*(-27016)/(-921).
66
((-72)/(-416))/((-714)/1904)
-6/13
What is ((-1036)/(-4662))/((10/240)/(78/(-8)))?
-52
What is -11*330/(-242)*2*21/28?
45/2
-6*4/136*(2/11)/((-1890)/(-10395))
-3/17
Evaluate 120/75*3150/(-44520).
-6/53
Calculate (-12)/(-15)*((-84)/(-16))/((-36)/40)*3.
-14
48/(-1280)*12/(-18)*225/(-10)
-9/16
9/(-12)*824/3090*5/27
-1/27
What is the value of 1/((-4)/(-120)*(-144)/480*-4)?
25
21*17/(-1071)*12/2*38/(-4)
19
What is the value of (10/(-22))/((-5355)/860013)?
73
Calculate 804/(-42746)*11/4.
-3/58
What is the value of 170/6*(1971/8760)/(15/40)?
17
What is the value of (1173/4301)/(18/1056)?
16
Calculate (6/(612/51))/(5/(-200)).
-20
What is ((-31170)/(-7273))/(120/92)?
23/7
324/(-45)*32/48*(-210)/(-56)
-18
What is ((616/(-14))/88)/(1/(52/2))?
-13
What is -2379*-25*(-167)/(-162825)?
61
Evaluate (51/2)/(75/140*(-203)/(-290)).
68
What is 1*(777/37)/(-147)?
-1/7
What is 2*((-15)/12*109)/(270/108)?
-109
What is the value of 12507/(-4927)*(-715)/33?
55
Calculate (362700/455)/(-62)*(-84)/40*4.
108
What is (4/(160/(-210)))/(((-10)/(-16))/((-45)/(-18)))?
-21
Calculate (410/(-8)*(-3)/(-15))/(13935/111480).
-82
Calculate -6*(-184)/(-1008)*447/149.
-23/7
What is the value of (((-44144)/1116)/(-89))/(6/(-4995)*-5)?
74
What is (489/(-2119))/((-51)/(-26))?
-2/17
What is -18*156/(-117)*33/(-18)?
-44
What is 182/65*17/((-13209)/370)?
-4/3
What is the value of 2/(-138)*(-999)/(-666)?
-1/46
(28/63*9)/((-9)/(-45)*12)
5/3
What is (-6)/(-5)*1340/3216*2/(-55)?
-1/55
Evaluate ((-3)/1)/(((-3)/25)/(-50*(-8)/(-250))).
-40
Calculate (((-13050)/504)/29)/((-160)/(-1008)).
-45/8
What is (25/(-5))/(-5)*2330/1864?
5/4
((-3)/3)/1*48/((-1872)/(-1677))
-43
What is (-40*34/255*6/(-14))/((-24)/(-42))?
4
Calculate (136/160)/(-17)*204/(-136).
3/40
What is the value of -36*((-166)/6640)/((-4)/40)?
-9
Evaluate 1/(-1)*-46*(-628)/628.
-46
What is the value of ((-45)/2115)/(27/54)?
-2/47
((-4)/(-112)*2)/(6/(-7))
-1/12
Evaluate (4/(-1552))/(((-17)/(51/(-2)))/((-136)/51)).
1/97
216/10*7235/13023
12
What is 32/6*(-2*5/60)/(47/(-2115))?
40
((-492)/(-738))/(40/(-16))
-4/15
What is the value of ((-250)/(-175))/(132/(-77))*6*(-98)/10?
49
(112/(-4))/(49/((-2352)/(-24)))
-56
Calculate (((-140)/28*(-52)/(-10))/3)/(3/9).
-26
What is the value of (12/(-90))/(24/10*(1275/(-100))/51)?
2/9
16/6*((192/8)/96)/((-5)/300)
-40
What is the value of ((-1231)/108328)/(4/(-22))*(-1)/(-4)?
1/64
Calculate (-261)/6583*114/513.
-2/227
Evaluate ((-1305)/(-1740))/((-6)/(-4*102)).
51
Calculate ((-22905)/(-2036))/(((-33)/8)/11).
-30
What is the value of ((-126672)/(-3770))/(16/20)?
42
What is 7*48/1728*12*(-12)/(-1442)?
2/103
Calculate 224/(-1920)*((-3648)/(-504))/(-19).
2/45
Evaluate ((2795/(-86))/(-65))/(60/(-2)*5/20).
-1/15
Evaluate 1/(-2)*(-72036)/1656*((-32)/3)/(-4).
58
(1/(-420)*-72)/((-21)/35)
-2/7
What is the value of (-1*(-4)/(-192))/((-550)/1100)?
1/24
Evaluate (10/(-24))/(-1)*(-16857)/(-18730).
3/8
Evaluate ((-24)/180*18)/((-7)/((-1890)/12)).
-54
(3*176/(-384))/((-45)/120)
11/3
(-32)/4880*(-220)/(-132)
-2/183
Evaluate 1710/(-75)*(8/10)/(1488/3100).
-38
What is 5*-2*6/30*((-4028)/8)/19?
53
What is the value of 19960/(-57884)*(-58)/75?
4/15
((13320/(-36))/74)/(20/184*2)
-23
Evaluate 1495/897*2/((-20)/(-54)).
9
What is the value of -8*(-5)/60*90/(-1575)*195?
-52/7
What is the value of (1428/(-280))/((2883/434)/(-31))?
119/5
What is -1*-6*116/24*1?
29
-1*342/969*(-204)/18
4
What is (-5746)/169*(-7)/(-7)?
-34
(8/2)/(-2)*((-22)/(-154)*217)/(-2)
31
What is the value of ((-1729)/273)/((-171)/1269)?
47
Evaluate ((-25)/(-125)*10)/((-2)/(120/55)*-2).
12/11
What is (-11245)/(-519)*144/(-104)?
-30
Calculate 2212/(-42581)*11/14.
-2/49
Calculate (-416)/(-182)*588/(-1512).
-8/9
(161/4)/(-7)*159/(11130/(-1400))
115
What is 987/26649*(-351)/(-455)?
1/35
((-180)/(-126))/(((-12)/(-30))/((-7)/4))
-25/4
What is -6*(44/96)/((-209)/(-836))?
-11
Calculate ((-744)/(-10)*525/1470)/((-45)/(-35)).
62/3
Evaluate ((-8)/(-15))/(((-17)/17)/(155/(-62))).
4/3
What is the value of 1*(-210)/11270*126/18?
-3/23
Calculate 476/(1292/19)*615/(-35).
-123
Evaluate (((-1888)/8496*(-384)/2)/(-1))/((-2)/(-3)).
-64
What is the value of 1/231*6*(-517)/(-564)*27/18?
1/28
What is the value of (-56)/(-18)*(-291)/(-970)*(-78)/52?
-7/5
What is the value of 2/77*(-336)/(-64)*8/(-24)?
-1/22
What is the value of ((-19)/(-2)*108/(243/(-27)))/(6/4)?
-76
What is the value of (96/(-27))/(850/(-1530))?
32/5
Calculate 4*15/(-162)*138/(-1035)*(-2)/4.
-2/81
Evaluate (166/1743)/(20/3150).
15
Calculate -28*330/(-4312)*35.
75
What is the value of (((-45)/10*2)/(-8
|
{
"pile_set_name": "DM Mathematics"
}
|
6 = -3. Let u be h/18 - (-6)/(-4). Calculate t(u).
-2
Let x(w) = 4*w**3 + w + 3. Let y be 4/26 - (-222)/78. Let o(j) = 3*j**3 + j**2 + j + 3. Let q(u) = y*o(u) - 2*x(u). Determine q(-3).
0
Let t = -170 + 113. Let b = t + 50. Let w(h) = h**3 + 8*h**2 + 7*h + 3. What is w(b)?
3
Let y(t) be the first derivative of -1/2*t**2 + 2*t - 2. Determine y(-5).
7
Let t(c) = 6*c + 2*c + 5*c**2 + 4*c + 5 - 6*c + c**2 + c**3. Let v = -1 - 3. Determine t(v).
13
Let o(m) be the third derivative of -m**5/15 - 7*m**4/12 - 83*m**2 + 4*m. Give o(-5).
-30
Let l(q) = -q**2 + 8*q - 1. Let p(v) = -21*v + 42*v - 24*v - v**3 + 2*v**3 + 5. Let s(t) = t**2 - 3*t - 2. Let x be s(4). Let g be p(x). Calculate l(g).
6
Suppose 12*x + 18 + 6 = 0. Let r(b) = -b**3 - b**2 + b. Calculate r(x).
2
Let m(g) be the second derivative of 13*g + 1/3*g**3 + g**2 + 0. Suppose p + 6 = -p. Give m(p).
-4
Let s(k) = -14*k**2 - 43*k + 21. Let g(a) = -17*a**2 - 53*a + 26. Let v(i) = 9*g(i) - 11*s(i). Calculate v(2).
-1
Let k(c) = -8*c**3 + 4*c + 3. Let r be k(-1). Let f(q) = r*q**2 - 2 - 8*q + 13*q**2 - 21*q**2 + 15. Give f(-9).
4
Let l(w) be the first derivative of w**3/3 + 5*w**2 + 10*w + 113. What is l(-10)?
10
Let w(u) be the second derivative of u**4/4 + 3*u**3 + 3*u**2 + 313*u + 2. Determine w(-6).
6
Let l(h) = -9*h**2 - 10*h - 16. Let u(d) = 8*d**2 + 11*d + 15. Let j(q) = 6*l(q) + 7*u(q). Let v be j(-8). Let t(z) = -4*z + 1. What is t(v)?
-3
Let y(c) = c**2 + 2*c. Let v be (18 - (-285)/(-19))*5/(-3). Give y(v).
15
Let t(b) = b**2 - b - 3. Let p(d) = -13*d**2 + 6*d + 2. Let x(c) = -10*c**2 + 6*c + 1. Let r(k) = -3*p(k) + 4*x(k). Let z = 15 - 10. Let w be r(z). Give t(w).
3
Let t(d) = -d**2. Let w(n) = -n**3 + 8*n**2 + 2*n - 2. Let z(x) = -4*t(x) - w(x). Let b = 15 - 11. Give z(b).
-6
Let a(l) be the third derivative of -l**4/24 - 11*l**3/6 - 51*l**2 + 2*l. What is a(11)?
-22
Let j(u) = -u**2 + 5*u + 2. Let p be j(6). Let i(m) = -2 + 5792*m + 5804*m - 11603*m + 0. Determine i(p).
26
Let t(q) be the third derivative of -q**6/15 + q**5/30 + q**4/8 - q**3/3 - 216*q**2. Determine t(2).
-52
Let v(j) = -j - 1. Let c = -35 + 36. Let n(b) = -9*b + 4. Let r(o) = c*n(o) + 2*v(o). Determine r(2).
-20
Let k(t) = -18*t - 6 - 27*t - 27*t + 70*t. Give k(-8).
10
Let j(c) = -135*c - 2*c**2 + 134*c - 8*c**2. Give j(-1).
-9
Let d be -2 + (-4 - -21)/(-1 - -2). Let i(f) = -f**2 + 16*f - 10. Give i(d).
5
Let v(w) be the third derivative of 1/12*w**4 - 13*w**2 + 0*w - 4/3*w**3 + 0. Give v(6).
4
Let q(m) = 9*m**3 + 8*m**2 - 24*m + 13. Let k(v) = -5*v**3 - 4*v**2 + 13*v - 7. Let x(g) = 7*k(g) + 4*q(g). What is x(-5)?
3
Let z(n) = 3. Let g(k) = -k. Let p be (-6)/(-4)*24/(-36). Let y be ((-2)/p - 1)*-4. Let o(l) = y*g(l) - z(l). Calculate o(2).
5
Let o be ((-3 - -6)/3)/1. Let s be 12/4 + (2 - o). Let r be s - (2 + (1 - 0)). Let i(p) = 2*p - 1. Determine i(r).
1
Let m = 10 - 10. Let o = m + 2. Let d(b) = -5*b + 1. Let r(z) = -9*z + 2. Let x(c) = 5*d(c) - 3*r(c). Give x(o).
3
Let g(l) = 3*l**2 + 3*l + 2. Let t be g(-1). Let p(b) = -b - 4*b**2 + 3*b**t - 9*b**3 - 3*b**3 + 14*b**3. What is p(2)?
10
Suppose 0 = -6*n + 18 + 6. Let i(u) = -2 + 6 + 2*u**2 - n*u - 5 + 3*u. Calculate i(3).
14
Let i(m) be the third derivative of -m**6/120 + 3*m**5/20 + m**4/2 + m**3/2 - 140*m**2. Determine i(10).
23
Let y(u) = u**3 + 4*u**2 - 82*u + 156*u + 7*u**3 - 2 - 76*u - 3*u**2. Give y(-2).
-58
Let l = 42 - 46. Let x(a) = a**3 + 4*a**2 + 3*a + 8. Let i be x(l). Let m(o) be the first derivative of -o**4/4 - 4*o**3/3 + o**2 + 2. What is m(i)?
-8
Let t(m) = 4*m - 2. Let b(f) = 5*f - 153. Let k be b(31). What is t(k)?
6
Let h(s) = 2*s + 40 - 23 - 4. Let i be 24/14 + (-6)/(-21). Let m(v) = -v - 6. Let l(y) = i*h(y) + 5*m(y). Give l(4).
-8
Let p(z) be the first derivative of 3/2*z**2 + z - 2/3*z**3 + 12. What is p(3)?
-8
Let r(w) = w + 1. Let t = -29 + 35. Let v be t/((-1)/1 - (-8)/(-16)). Calculate r(v).
-3
Let c(l) = l**3 + 5*l**2 + 3*l + 3. Let n be c(-5). Let r be (-55)/20 - (-3)/n. Let w(h) = -h**3 - 2*h**2 + 5*h + 4. Give w(r).
-2
Suppose x + 12 - 47 = 0. Let t = x - 28. Let d(q) = -q**3 + 6*q**2 + 6*q + 10. Determine d(t).
3
Let q(x) be the first derivative of x**5/120 - x**4/24 + x**3 - 6. Let r(w) be the third derivative of q(w). Let h be 6*-1 - 24/(-12). What is r(h)?
-5
Let c = 84 - 58. Suppose -2*n = -4*g - c, 5*g - 5*n + 25 = -10. Let r(f) = -f**3 - 5*f**2 + 4*f - 3. Give r(g).
9
Let q(s) = s**3 - s + 2*s - 3*s + 3 + s**2. Let l = -1225 + 1222. Determine q(l).
-9
Let w(h) be the third derivative of -h**9/60480 + h**8/5040 + h**7/840 + h**6/144 + 19*h**5/60 + 19*h**2. Let r(j) be the third derivative of w(j). Give r(5).
10
Suppose -3*s + 5 = 2*s, 2*s - 32 = 2*q. Let v be (-53)/4 + q/20. Let a be v/3 + (-9)/27. Let z(w) = -w - 5. What is z(a)?
0
Let j be 3/2*(-56)/12. Let n = j - -9. Let i(s) = 0 - 5 + 4 - 6*s + s**n. What is i(6)?
-1
Suppose 6 = i - 4*i, 4*p - 2 = -3*i. Let f(t) be the first derivative of -3*t**p + 0*t + 5 + 2/3*t**3. Give f(4).
8
Let p be -1*(1/(-1) + 3) - -1. Let b be (-2)/(-4)*(-4 + -2). Let c = b + p. Let m(k) = -k**2 - 4*k + 4. Determine m(c).
4
Suppose 7*t - 104 = 71. Let a(c) = -c**2 + 23*c + 45. Let r be a(t). Let u(d) = -5 + 4 + d**2 + 4*d + d. What is u(r)?
-1
Let w(y) = y**2 - 2*y - 3. Let h = 625 - 628. Give w(h).
12
Suppose -8*b + 12 = -4*b. Let d(v) be the first derivative of -3*v - v**2 - 4*v + 4 + b. Determine d(-7).
7
Let w(j) = j**2 - 7*j + 13. Let z = -77 + 83. Give w(z).
7
Let s = 21 + 31. Let a = -47 + s. Let r(p) = -p**2 + 5*p - 7. Determine r(a).
-7
Let c be 7 - (4 - 6/2). Let j(i) = -2*i - 3. Let f(q) = -6*q - 17. Let t(m) = -f(m) + 4*j(m). Calculate t(c).
-7
Let q(d) = -4*d + 4. Let i(x) = -21*x + 22. Let k(z) = -2*i(z) + 11*q(z). Calculate k(8).
-16
Let w(x) = x - 5. Let z(q) = 3*q - 9. Let k(s) = 7*w(s) - 4*z(s). Suppose 0*m + 10 = 5*m. Suppose m = -n + 3. Give k(n).
-4
Let k(o) be the third derivative of -6*o**2 + 1/120*o**6 + 0*o + 1/10*o**5 + 0 - 2/3*o**3 - 1/3*o**4. Determine k(-7).
3
Let r(v) = -v**2 + v + 2. Let l(u) = 4*u**2 - 4*u - 8. Let d(g) = l(g) + 3*r(g). Determine d(3).
4
Let d(j) = -j**2 + 5. Suppose 2*y - 1 = -5. Let i(h) = -4*h - 3. Let g be i(y). Suppose -g*p + 4*b + 12 = 0, 0 = -p + 2*b - 0*b + 6. Determine d(p).
5
Suppose 12 = -2*m + 14. Let c(y) = 0*y + 2*y - 6*y. Determine c(m).
-4
Let u be 0*(88/(-12) - -7). Let n(b) be the third derivative of -b**5/60 - b**4/24 - b**3/3 + 2*b**2. Calculate n(u).
-2
Let r(j) be the first derivative of 5*j**2/2 + 34*j + 161. Give r(-6).
4
Let m(n) = -2 + 2 - n**2 + 2*n + 3. Let g(r) = 3*r + 0 - 6*r - 1 + 17. Let t be g(6). Calculate m(t).
-5
Let u(k) = -k**2 - 2*k - 1. Let y(f) = f**2 + 2*f + 6. Let l(m) = 1. Let w(v) = -3*l(v) + y(v). Let b(d) = -3*u(d) - 2*w(d). What is b(3)?
12
Let o(m) = m**3 + 17*m**2 - 58*m + 49. Let r be o(-20). Let w(t) = -t + 2. Give w(r).
-7
Let c(g) be the third derivative of g**4/12 - 5*g**3/6 - 2*g**2. Suppose 0 = -4*b - 4 + 28. Calculate c(b).
7
Let g = -9 + 9. Let t be -9 + -1 + -1 + g + 1. Let o(p) = p + 15. Calculate o(t).
5
Let r(j) = 7*j**3 + 20*j**2 + 48*j + 12. Let z(v) = -3*v**3 - 10*v**2 - 21*v - 6. Let l(g) = 2*r(g) + 5*z(g). Give l(-9).
-6
Suppose -3*a + 2*a = 4*l - 34, 5*l - 53 = 4*a. Let s(c) = -2*c - 1 + 3*c - l*c**3 + 0. Suppose -d - 6 = -5*m, 5*m = -4*d + 3 - 2. What is s(m)?
-9
Suppose 1 - 4 = w. Let t(q) = q**2 - q + 1. Let s(b) = b**2 - b + 1. Let u(z) = w*s(z) + 4*t(z). What is u(1)?
1
Let p(o) be the third derivative of -o**8/1440 + o**6/720 + o**5/5 - 5*o**2. Let c(h) be the third derivative of p(h). Determine c(1).
-13
Let w(g) = 3*g**2 - 2*g - 2. Let t be w(2). Let h(z) = -12*z - 15*z + 3 + z**3 + t*z**2 + 28*z. Determine h(-6).
-3
Let q(s) = 7 - 6*s**2 - 3*s - 1 + 7*s + s**3. Suppose -6*o + 2*o - 9 = -29. Give q(o).
1
Suppose 50*f - 128 = 58*f. Let o(b) = -b - 28. Calculate o(f).
-12
Let j(k) = -k**3 - 4*k**2 - 2*k + 4. Suppose 278*c - 293*c = 60. What is j(c)?
12
Let d(q) = -q + 1. Let u be d(-6). Let f(k) = -k**2 + 6*k - 5. Determine f(u).
-12
Let m = 5 + -2. Suppose -6*b = -m*b - 15. Suppose -a + 0*y = 2*y, -2*y - 24 = -b*a. Let u(r) = -r**2 + 4*r - 6. Calculate u(a).
-6
Let x(h) = 11 + 6*h**2 + 10 - 29 + 3*h + 9 + h**3. What is x(-4)?
21
Suppose 5*q - 81 = -61. Let b(n)
|
{
"pile_set_name": "DM Mathematics"
}
|
*z = -33, -30*z = -25*z + 10 for s.
5
Solve -8*q - 4*b = 6246 - 6358, -3*q - 4*b = -37 for q.
15
Solve -5*k + 4 = 2*c, k + 2 = -2749*c + 2750*c for k.
0
Solve 5*r = -9*c - 148, 116*r - 119*r + c = -20 for r.
1
Solve 0 = 3*r + 5*v - 32, -18 = -78*r + 75*r - 3*v for r.
-1
Solve -5*k + q + 24 = -16, 0*q = 3*q + 15 for k.
7
Solve -31204*a + 31202*a = -j - 2, 3*a = 3*j - 3 for a.
3
Solve -4*k + 49 = -q, 2*q - 12*k = -14*k + 12 for q.
-5
Solve 5*j + 14 = 3*x, -2*x = -62*j + 67*j - 26 for j.
2
Solve -41 = -8*g + d, 38*g - 40*g = 5*d + 79 for g.
3
Solve 5088*k - 5085*k - 4*o = -33, 0 = 12*o - 36 for k.
-7
Solve d - 4*s - 3 = 0, 50*s = 52*s + 4 for d.
-5
Solve 8 = -2*s + 2*n, -11*n - 14 = 4*s - 17*n for s.
-5
Solve -5*r - 79*f - 55 = -82*f, r - 75 = -8*f for r.
-5
Solve 0 = -4*r + 11348*g - 11353*g - 29, 0 = -4*r + 5*g + 21 for r.
-1
Solve -2*i - 4*u + 14 - 20 = 0, -13 = 5*i + 8*u for i.
-1
Solve 3*a - 5*o = -13, -a + 6 = -2*o + 11 for a.
-1
Solve -3*u + 1 = -2*h - 13, 0 = -3*h + 8*u - 21 for h.
-7
Solve 9 = k - 2*a, 243*a - 15 = k + 247*a for k.
1
Solve -5*z = -2*t + 146 - 181, 3*z + 5*t + 10 = 0 for z.
5
Solve -3*l + 2659 = 2653, 5*l - 18 = -4*u for u.
2
Solve -v = 2*p - 9, 845*v - 27 = -2*p + 842*v for p.
0
Solve -3*r + 18 = -2*p, 0 = 2*p + 160 - 154 for r.
4
Solve -4*w + 3*m + 6 - 6 = -5*w, -w = -3*m for w.
0
Solve -33 + 25 = h + y, 0 = -5*h - 4*y - 33 for h.
-1
Solve -75*j - a = -73*j + 9, -2*j - 6 = 4*a for j.
-5
Solve -18077*a + 18072*a - 20 = 5*m, -2*m = 6*a + 28 for m.
1
Solve 0 = -a - 5*n + 27, -27 = -n - 21 for a.
-3
Solve -2*n - 4*k + 2372 = 2360, 5*n = 5*k for n.
2
Solve -k - 52 = 3*y - 48, 20 = 4*k for y.
-3
Solve u = -5*r + 10, u + r = 486 - 484 for u.
0
Solve -43 = -1760*y + 1756*y + 7*h, -h = 5*y - 5 for y.
2
Solve 13*b - 26 = 3*h + 6*b, -113 = -4*h + 5*b - 126 for h.
3
Solve -4*d - 5*c - 10 = 0, 5556*d - 5551*d + 6 = -3*c for d.
0
Solve 5*s - 23 = -213*i + 212*i, 4*s = 5*i + 30 for i.
-2
Solve -2*f + 11 = 7*f - 6*f - 2*p, -3*p = -6 for f.
5
Solve 22 = 1066*z - 1070*z + 3*m, 10 = -5*z + 2*m for z.
2
Solve -h = -2*y - 5, 0*h - 4*h = -4 for y.
-2
Solve -2*d - 23 = -2623*v + 2626*v, -24 = 4*v + d for v.
-5
Solve -5*c = 2*b - 3*b - 23, 0 = -5*b - 3*c - 3 for b.
-3
Solve d - 13 = -3*h, 100*h - 98*h - 11 = -3*d for h.
4
Solve 3*c + z - 14 = 0, -3*z + 18 = 43*c - 40*c for c.
4
Solve -5*k = -2*h - 5 - 5, 13*k = 9*k + h + 5 for k.
0
Solve -7*w = -d + 42, 28*w - 5*d = 18*w + 11*w - 30 for w.
-5
Solve 10 = -673*f + 671*f, 56 = -6*l + 2*f for l.
-11
Solve -5*p = -5*q - 30, -3133*q = -3137*q - p - 19 for q.
-5
Solve -2*p - 9 = -5*p - 3*n, -9 = -4*p - 3*n for p.
0
Solve 1 = -5*t - 4*p, 242 = -5*t - 3*p + 245 for t.
3
Solve 2*g + 27 = -17*m + 14*m, -3*m - 12 = -3*g for g.
-3
Solve 4*b - 2*g - 4 = 0, -281 + 285 = -3*b + 5*g for b.
2
Solve -3*i - 2*b = 9, -27*b + 2 = 2*i - 23*b for i.
-5
Solve -1 = 5*o - 3*v, 5*o + 3724*v - 3719*v - 15 = 0 for o.
1
Solve c + 4*l + 8 = 0, -3*c - 1287*l - 8 = -1291*l for c.
-4
Solve 1011*d - 1016*d - 50 = 3*q, 3*d + 4*q = -19 for d.
-13
Solve -5*v - 2*g = -0*g - 6*g, -2*g - 38 = 7*v for v.
-4
Solve 3*l - 4*z = 48, 2*l - 12*z - 19 = 13 for l.
16
Solve 2*x + 2*o - 17 = -73, -x = 5*o + 124 for x.
-4
Solve -14788*d = -14792*d + k + 9, 0 = -4*d + 2*k + 14 for d.
1
Solve 0 = -2*u - 3*k + 2, 4*u + 5*k - 178 + 174 = 0 for u.
1
Solve -a - 3 = 0, 86*l + 65 + 21 = 91*l + 3*a for l.
19
Solve 4*y - 2*c - 734 = -730, -5*c - 38 = -3*y for y.
-4
Solve b + 87*g + 9 = 89*g, 0 = 3*b + 2*g - 5 for b.
-1
Solve 5*s + 4748*g = 4743*g + 20, -3*g = 6*s - 9 for s.
-1
Solve -57*t - 5*y + 5 = -56*t, -5 = -5*t - 5*y for t.
0
Solve 3*j + 3*v = 9, 2*j + v + 182 - 184 = 0 for j.
-1
Solve 2*w - 3*i = -31 + 40, 0 = 4*w - 4*i - 8 for w.
-3
Solve 2*j + 6 = 0, -7*r - 21*j - 14 - 26 = -17*j for r.
-4
Solve -n + 3 = 10201*k - 10203*k, 2*n + 21 = -5*k for n.
-3
Solve 0 = 2*y - 2*o + 20, -58*y = -59*y + 4*o - 55 for y.
5
Solve 0 = 2*n + 2*q - 18, -q = 2*n - 291 + 278 for n.
4
Solve 4*r + 9 = h, -4*h - 4*r + 1106 = 1090 for h.
5
Solve 0 = 4*t + 12, -5*q - 3*t - 6*t + 4*t = 0 for q.
3
Solve n - 2*n + 40 = 4*j, 4*n - 3*j = -30 for n.
0
Solve o + 21 = 4*k, 81*k - 78*k = 5*o + 37 for k.
4
Solve -2472 + 2471 = -w - 3*v, 4*v = w + 20 for w.
-8
Solve -4*v + 37 = -5*c, -16*c + 4*v + 18 = -22*c for c.
-5
Solve -3*w + 30 = 2*x + 17, 16 = 4*x + 4*w for x.
-1
Solve 68 = 16*c + 3*w, -c - 25*w + 17 = -28*w for c.
5
Solve 0 = -3*h + 79*c - 83*c + 4, -2*c - 20 = 7*h for h.
-4
Solve 0 = -4*v + 3697*j - 3694*j + 27, 3*j - 9 = -2*v for v.
6
Solve -3*r - 28 = 1464*j - 1460*j, 8 = -4*j + 2*r for j.
-4
Solve -4*i = -4*r - 4, 5*r = 3*i - 32 + 21 for r.
-4
Solve 135*v + 18 = 133*v + 4*d, 0 = 5*v - 3*d + 17 for v.
-1
Solve 4*l + 2 = 3*f, 4*f = -0*f + 8 for l.
1
Solve 3*u - 4*a = -871 + 888, -3*u - a + 22 = 0 for u.
7
Solve -4460*k = 4*i - 4458*k - 8, 3*i + 3*k - 3 = 0 for i.
3
Solve -2*v + 3*r = 11, -312*r + 313*r - 1 = -2*v for v.
-1
Solve 4*u = -f - 22, -3*f = -u + 193 - 192 for f.
-2
Solve -14*v = -56, 23*s - 18*s - 4*v = 4 for s.
4
Solve -4*w - 2*y - 100 + 90 = 0, 0 = -5*y - 25 for w.
0
Solve 0*i - 4*i = c + c + 6, 3*i + 6 = 0 for c.
1
Solve -2*y + 4*k = -60, 174 = 18*y - 22*y - 13*k for y.
2
Solve -6 = -3*b, b + 1 = 97*f - 100*f for f.
-1
Solve c + 37*k = 32*k - 46, k = -3*c + 2 for c.
4
Solve 24 = -5*a + 9*a - 3*j, 0 = 2*a - 4*j - 32 for a.
0
Solve 5*h + 3*m + 6 = 2 - 51, 31 = -2*h - 3*m for h.
-8
Solve -j - 4*w = 0, -2*w = -4*j + 45 - 27 for j.
4
Solve 0 = -6*z - 134*y + 133*y - 6, 4*z + 5*y = -30 for z.
0
Solve -515*r = 2*k - 513*r - 32, 4*r = 2*k + 40 for k.
4
Solve 0 = -3*p + 2*j - 27, 72*p = 72*p - j for p.
-9
Solve 4*h - 78*n + 76*n = -24, -2*h - 9*n - 12 = 0 for h.
-6
Solve -63 = -7*i - 772*b + 777*b, -5*b = i + 31 for i.
4
Solve 4*o - 6 + 32 = -5*h, 0 = 5*o + 2*h + 24 for o.
-4
Solve -8 + 10 = -3*u + 5*r, -3*r = -9*u - 30 for u.
-4
Solve 2*g - 5*q = 13, -38*g + 35*g = 4*q + 38 for g.
-6
Solve -49*d + 46*d = 2*y - 22, 5*d - 37 = -3*y for y.
-1
Solve -5*u - b - 9 = -3*u, 1998 = -3*u - b + 1984 for u.
-5
Solve -2*f = 3*g + 50, 6*g + 62 = 979*f - 981*f for g.
-4
Solve -s + 120 = 2*p + 98, -s = -p + 5 for s.
4
Solve 0 = 4*i + 3*x + 22 - 44, -2*i = -3*x - 2 for i.
4
Solve -3*y + 5*u - 2 + 3 = 3 + 4, -2*u = 0 for y.
-2
Solve -8 = -54*r + 55*r + f, 16*f = -5*r - 95 for r.
-3
Solve 32 = 5*z - k, -30*z + k + 4*k = -180 for z.
4
Solve 0 = -3*r - 2*c - 16, 5*r - 3*r - 4*c = 0 for r.
-4
Solve -18 + 9 = i + 5*v + 15, -4 = v for i.
-4
Solve 2*k + 279 - 284 = 5*t, -3*k = 2*t + 2 for t.
-1
Solve -41 = -3*o + 2*b, -2*b = 13*o - 18*o + 63 for o.
11
Solve -u - 12*x - 65 = 0, 4*u - 5*x + 3*x + 10 = 0 for u.
-5
Solve c + v + 6 = 0, -9*c + 4*v = 2*c - 7*c for c.
-3
Solve 0 = 2688*y - 2690*y - 2*p + 12, y - 36 = -7*p for y.
1
Solve -5*y = 2*i + 33, -5*y - 3823*i = -3820*i + 37 for y.
-5
Solve -4*i + 102 = 4*z + 122, 0 = -13*z + 5*i - 11 for z.
-2
Solve 40 = -5*m + 5*g, 3*m + 0*m - 4*g = -31 for m.
-1
Solve -z + 3*q + 14 = 0, 287*z - 9 = 286*z + 2*q for z.
-1
Solve 709*a - 713*a = 5*s - 40, 5*a + 4*s - 41 = 0 for a.
5
Solve c + 10*r + 27 = 5*r, -5*r - 30 = 0 for c.
3
Solve 3*k + 12 = -893*z + 888*z, 2*k + 8 = 2*z for k.
-4
Solve 373 - 401 = -2*k - 3*l, 4*l - 48 = -8*k for k.
2
Solve -2*v = -3*m + 39, 9931 = 7*v - 4*m + 9970 for v.
3
Solve -10*i = -15*i + 2*p - 31, 4*i + 35 = 5*p for i.
-5
Solve 0 = -214*k + 218*k - 2*w + 6, -4*w = -3*k - 32 for k.
4
Solve 5*v + 2*u = -25, u + 63 = -5*v + 43 for v.
-3
Solve 0 = -2*j - 5*c - 59, -328*j - 5*c = -323*j + 65 for j.
-2
Solve q + 16 = -2575*h + 2572*h, 0 = -3*q - 15*h - 90 for q.
5
Solve 5*n - 197 = 4*g - 230, g - 17 = 10*n for g.
7
Solve -4*i - 12 = 0, -5*t - 126*i + 131*i + 10 = 0 for t.
-1
Solve 246*w = 244*w + 7 + 3, -32 = -n - 5*w for n.
7
Solve -h + 34*r = 31*r + 23, -6 = -4*h - 2*r for h.
-2
Solve -12*i - 4*s = -15*i - 31, -4*i = 4*s + 4 for i.
-5
Solve 0 = -4*h + t + 12, -14*h - 111*t + 113*t = -42 for h.
3
Solve -z - 25 = -0*z + 4*z + 3*y, -93*z = -93*z + 3*y for z.
-5
Solve 10*m - l - 288 + 246 = 0, -4*m + 3*l = -22 for m.
4
Solve 3*h + 26 = 4*a + h, 5*a = 5*h + 40 for a.
5
Solve -4*m - 6*t = -4*t - 14, 3*m - 27 = 4*t for m.
5
Solve -z - 11 = 3*l, -2*l + 9*z + 1 = 8*z for l.
-2
Solve -4*o - 3*p - 34 = 0, -4*o = -5*p + 4*p - 6 for o.
-1
Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
: 5, a: 12}. Give prob of picking 3 n and 1 a.
2/51
What is prob of picking 1 a and 2 r when three letters picked without replacement from {r: 7, a: 2}?
1/2
What is prob of picking 1 g, 1 y, and 1 x when three letters picked without replacement from {b: 1, x: 2, g: 1, z: 3, a: 2, y: 3}?
3/110
Calculate prob of picking 3 y when three letters picked without replacement from {q: 3, y: 12}.
44/91
What is prob of picking 2 k and 1 u when three letters picked without replacement from ccknknnnnnnuncuc?
1/280
Calculate prob of picking 1 v and 1 s when two letters picked without replacement from vvvsvvvssvvvvvvssvvv.
15/38
What is prob of picking 1 p, 1 j, and 1 i when three letters picked without replacement from jkpikjwijfii?
3/55
Three letters picked without replacement from yayyoyraryooy. What is prob of picking 2 o and 1 y?
9/143
Two letters picked without replacement from {s: 1, j: 10, m: 4, t: 1, i: 4}. Give prob of picking 1 t and 1 s.
1/190
What is prob of picking 2 r when two letters picked without replacement from rbrbbrsbrsrr?
5/22
Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {l: 13, b: 5}.
65/136
What is prob of picking 1 f and 1 c when two letters picked without replacement from ffcs?
1/3
What is prob of picking 2 u when two letters picked without replacement from {z: 5, u: 7}?
7/22
Four letters picked without replacement from {s: 3, b: 5, k: 3, c: 2}. What is prob of picking 1 b, 1 c, and 2 k?
6/143
Calculate prob of picking 2 z when two letters picked without replacement from {c: 9, z: 5}.
10/91
Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {j: 1, y: 1, e: 1}.
1/3
What is prob of picking 1 a and 3 r when four letters picked without replacement from {d: 3, q: 1, r: 3, u: 6, a: 2}?
2/1365
Four letters picked without replacement from {c: 14, e: 5}. Give prob of picking 2 c and 2 e.
455/1938
Calculate prob of picking 2 q and 2 b when four letters picked without replacement from {v: 4, k: 1, q: 2, b: 2}.
1/126
Three letters picked without replacement from {u: 1, w: 2, v: 3, b: 1, z: 11}. Give prob of picking 2 v and 1 u.
1/272
Three letters picked without replacement from ccccbbbbccbcb. Give prob of picking 1 b and 2 c.
63/143
Calculate prob of picking 1 v, 1 x, and 1 n when three letters picked without replacement from sesuuxnexvuu.
1/110
Two letters picked without replacement from yvpqvy. What is prob of picking 1 y and 1 v?
4/15
What is prob of picking 2 c when two letters picked without replacement from cqqccc?
2/5
What is prob of picking 2 x and 2 l when four letters picked without replacement from ifxffrxwilrlwf?
1/1001
Two letters picked without replacement from nnnnnnnnnnnnnnnnnne. Give prob of picking 1 n and 1 e.
2/19
Four letters picked without replacement from tbhpjbbhbwjjjh. Give prob of picking 1 h, 2 j, and 1 p.
18/1001
Calculate prob of picking 2 l and 1 e when three letters picked without replacement from eeleleeeeeeeeele.
39/560
Two letters picked without replacement from {b: 1, i: 2, t: 1, p: 2, m: 2}. What is prob of picking 1 b and 1 m?
1/14
Calculate prob of picking 1 i, 1 f, and 1 d when three letters picked without replacement from icdnidfcdcccfbdnc.
2/85
What is prob of picking 3 r when three letters picked without replacement from rsrrssrr?
5/28
Calculate prob of picking 1 q and 2 z when three letters picked without replacement from zqgqmz.
1/10
Three letters picked without replacement from {g: 3, v: 2, f: 1, d: 4, y: 1, a: 1}. Give prob of picking 2 v and 1 f.
1/220
What is prob of picking 4 u when four letters picked without replacement from uuuuuu?
1
Four letters picked without replacement from vvqqvvbpvqqqqfv. Give prob of picking 1 v, 1 p, and 2 q.
6/91
Calculate prob of picking 1 l, 1 j, 1 r, and 1 o when four letters picked without replacement from {j: 1, u: 2, r: 2, o: 1, l: 6, q: 3}.
4/455
Calculate prob of picking 2 p and 2 u when four letters picked without replacement from ppppuuppupp.
14/55
Three letters picked without replacement from rrrrrjjjrrjrj. What is prob of picking 3 j?
5/143
Three letters picked without replacement from {c: 1, m: 19}. Give prob of picking 3 m.
17/20
What is prob of picking 1 t, 1 v, and 1 j when three letters picked without replacement from {v: 1, m: 1, j: 1, t: 1, h: 1}?
1/10
Two letters picked without replacement from {f: 2, r: 2, j: 4, q: 1}. What is prob of picking 1 q and 1 j?
1/9
What is prob of picking 1 o and 3 l when four letters picked without replacement from {a: 1, l: 3, p: 1, o: 5, g: 1}?
1/66
Three letters picked without replacement from {m: 1, e: 1, r: 3, o: 3, p: 5, b: 1}. Give prob of picking 1 b, 1 m, and 1 r.
3/364
Calculate prob of picking 1 o, 1 k, and 1 f when three letters picked without replacement from {k: 4, o: 2, f: 8}.
16/91
What is prob of picking 1 l, 1 z, and 1 j when three letters picked without replacement from {l: 1, e: 1, j: 11, o: 1, z: 2}?
11/280
Four letters picked without replacement from {v: 1, r: 2, b: 2, j: 1, c: 2, i: 1}. Give prob of picking 1 j, 1 r, 1 i, and 1 b.
2/63
Calculate prob of picking 2 n and 1 j when three letters picked without replacement from jjjnjnjnjjnn.
7/22
Four letters picked without replacement from oooxxoxxxxooxoxxxoo. Give prob of picking 2 o and 2 x.
135/323
Two letters picked without replacement from {v: 3, r: 4, z: 2, o: 2}. Give prob of picking 1 r and 1 o.
8/55
Two letters picked without replacement from {v: 3, a: 2, j: 2, w: 2, s: 1, z: 4}. Give prob of picking 2 a.
1/91
What is prob of picking 1 z and 1 s when two letters picked without replacement from dhcxssczz?
1/9
Three letters picked without replacement from {k: 2, o: 2, s: 5}. What is prob of picking 3 s?
5/42
What is prob of picking 2 p and 1 m when three letters picked without replacement from ttpneepmett?
1/165
Calculate prob of picking 1 j and 1 d when two letters picked without replacement from jdjddddddjdddddvvv.
4/17
Two letters picked without replacement from {o: 1, h: 2, r: 1}. Give prob of picking 1 h and 1 r.
1/3
Two letters picked without replacement from {d: 1, u: 1, r: 1, g: 9}. Give prob of picking 1 d and 1 r.
1/66
Calculate prob of picking 1 a and 1 i when two letters picked without replacement from lsyjail.
1/21
Three letters picked without replacement from ufufuuuuuuu. What is prob of picking 3 u?
28/55
Three letters picked without replacement from uuuburuuuubr. Give prob of picking 1 u and 2 b.
2/55
Calculate prob of picking 2 b when two letters picked without replacement from ehbbyheyhehbh.
1/26
Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, x: 1, l: 1, d: 5}.
1/22
Calculate prob of picking 1 m and 1 h when two letters picked without replacement from momomxmhmhmo.
2/11
Four letters picked without replacement from qqqqqqgqqqggqqgg. Give prob of picking 2 q and 2 g.
55/182
Three letters picked without replacement from lrahhhr. Give prob of picking 1 h, 1 r, and 1 a.
6/35
Four letters picked without replacement from {x: 11, k: 3}. Give prob of picking 4 x.
30/91
Four letters picked without replacement from defoccj. Give prob of picking 2 c, 1 o, and 1 d.
1/35
What is prob of picking 1 q and 2 o when three letters picked without replacement from fffqfoqfofffffffffof?
1/190
Two letters picked without replacement from {p: 1, r: 2, u: 2, j: 1, v: 2, l: 1}. What is prob of picking 1 u and 1 r?
1/9
What is prob of picking 2 x and 2 s when four letters picked without replacement from ssssxxxs?
3/7
Four letters picked without replacement from {n: 9}. Give prob of picking 4 n.
1
Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {v: 1, c: 9, b: 2, y: 2}.
4/91
Calculate prob of picking 1 o and 1 z when two letters picked without replacement from ozzzozozoz.
8/15
Three letters picked without replacement from gboggbobfogboffbovf. Give prob of picking 1 b and 2 f.
10/323
What is prob of picking 1 e, 1 n, 1 l, and 1 m when four letters picked without replacement from {l: 1, f: 3, n: 1, e: 6, m: 1}?
2/165
What is prob of picking 1 x, 1 t, and 1 m when three letters picked without replacement from jctxmcmxttfm?
9/110
What is prob of picking 1 u and 1 w when two letters picked withou
|
{
"pile_set_name": "DM Mathematics"
}
|
= h**2 + 26*h + 28. Let o be j(-26). Let x be (90/21)/(4/o). Let i be ((-4)/x)/((-24)/(-36)). Which is the closest to 3? (a) 1 (b) -3 (c) i
a
Let y = -0.053 + 64.053. Let z = y - 63. What is the closest to z in 5, -0.1, 2?
2
Let f(h) = 4*h + 28. Let w be f(-6). Let z = 98 - 92. Let q be 2/w*(z + -5). Which is the nearest to -4/3? (a) -0.4 (b) q (c) -4
a
Let t = -29/273 + 18883/3003. Which is the nearest to t? (a) 0.3 (b) -0.05 (c) -2/11
a
Let d be 13/20 - 5/20. Let h = 0.5688 + -0.2688. What is the closest to -1/4 in -1/2, 3, d, h?
-1/2
Let p = -240.51 + 5.51. Let n = 254 + p. Let r = -2 + 3. Which is the closest to 1? (a) r (b) n (c) -0.5
a
Let j = -28645.8 + 28643. What is the nearest to -2/9 in j, -5, -12?
j
Suppose 14*x - 24 + 30 = 20. What is the nearest to -2/5 in -18/11, x, 2, -4?
-18/11
Let q = 8532 + -8535. Which is the closest to 3/4? (a) -127 (b) q (c) 4 (d) -0.4
d
Let g = 5 - 3. Let j(k) = 234*k + 5. Let i be j(0). Which is the closest to -4.1? (a) i (b) -2/9 (c) g
b
Let k = 0.9 - 0.6. Suppose -3*f - 152 = -u, 83*f = 88*f + 5. Suppose 14 = -u*g + 156*g. Which is the nearest to -2? (a) g (b) k (c) -2/9
c
Let p be (14/(-385))/((-69)/253). Let k = -5/41 + -37/369. Which is the closest to -2/5? (a) p (b) 3 (c) -0.2 (d) k
d
Let u be (-1594)/(-712)*8/(-24). Let s = u + -1/267. What is the nearest to s in 2/15, 0.2, -3, 0.5?
2/15
Let f = 276912 - 276907. Let g = 0.1 - 0.1. Let n be 5/(-3) - (-2 - -1). What is the nearest to -0.1 in f, n, g?
g
Let x = 8458 - 8458.2. Let y = 53 - 57. Which is the nearest to x? (a) 4 (b) 0.2 (c) y
b
Let f = -384 - -1537/4. Let u = 0.28 - 1.48. Let s = u + 0.2. Which is the nearest to f? (a) 2/17 (b) -0.5 (c) s
a
Suppose -8*h + 3 = -13. Suppose 13 = -h*f - 5*l, -4*l - 2 = -3*f + 36. Let j = 0.4 - 0.2. What is the closest to j in 2/11, 0, f?
2/11
Let x be 1/(-1 - 10/4). Let w = 758.4 - 1185. Let s = w - -427. What is the closest to -0.3 in x, -0.4, s?
x
Let y = 118.61 + -110.61. What is the nearest to y in -1, -6, 0.3, 4?
4
Let u = 17379/4 - 4345. Which is the nearest to 23? (a) -0.4 (b) u (c) 0 (d) -2
c
Let r = 2.1026 - 1.8026. What is the nearest to r in 3, 3/2, -1.1?
3/2
Let v(k) = k**3 - 4*k**2 - 5*k + 3. Let q be v(5). Let x be 3 + -82 - 6/q. Which is the nearest to x? (a) -4 (b) 3 (c) -1
a
Let j be (1/2)/((-8)/(-64)). Suppose 3*i + 28 = -j*p - 0, -4*p + 84 = -4*i. Let h be ((-14)/(-21))/(i/(-6)). What is the nearest to h in 0.4, -0.7, 0.2?
0.2
Let z = 353/265 + 1/795. Let t = 0.11 + -0.21. What is the nearest to 0.1 in t, z, -26?
t
Let c(b) = b**3 - 6*b**2 - 4*b + 25. Let f be c(6). What is the closest to -0.1 in -22, -5, f?
f
Let k(j) = -j**3 - 9*j**2 - 12*j + 3. Let i be k(-8). Let r be (i + -37)/(4/(-122)*1). Let l = -247/4 + r. What is the nearest to 0 in 4, -2, l?
l
Let p = 26582 + -26690.5. What is the closest to 1 in -1/2, -2/21, p?
-2/21
Let j = 0.363 - 1.303. Let d = j - -1.08. Let w = -5/3 + 13/6. Which is the closest to d? (a) -1/7 (b) -0.4 (c) w
a
Let r = 76.8 - 77.179. Let o = 3.379 + r. Which is the nearest to o? (a) 3 (b) -4/9 (c) 1/2
a
Let g = 0.05 + -0.09. Let o = 134.7 + -134.3. Which is the nearest to 1? (a) 1/3 (b) o (c) g
b
Let j = 0.534 + 1.466. Let d = 37 + -36.6. Which is the closest to 0? (a) -0.3 (b) d (c) j
a
Suppose 5564301*s - 5564256*s = 0. Let h = -1.9 + 2. What is the nearest to h in s, -83, 2?
s
Let x = -1209 - -1208.5093. Let m = 0.0093 - x. Which is the closest to -0.1? (a) m (b) 3/4 (c) 2/5 (d) 1
c
Let j = -6327.9 - -6328. Which is the closest to 0.3? (a) -0.4 (b) 5 (c) j (d) 29
c
Suppose 0 = 2*r - k + 608, 5*r - 18*k = -22*k - 1520. Let o = -305 - r. What is the nearest to -5 in 1/5, -0.6, o?
o
Let o be (-2)/(-16)*(8/(-28) + 20/(-28)). What is the closest to 10 in 2, -0.3, o, 0.2?
2
Let g = 347057 + -347056. Let o be 2/(-13) + -1 + 1. Which is the closest to g? (a) 5 (b) o (c) -1
b
Let o = -3.93 + -0.07. Let y = 0.115 + 463.885. Let r = 459 - y. Which is the closest to 0.3? (a) -0.4 (b) o (c) r
a
Let f be (-21)/9*23/161 + (-226)/6. What is the closest to f in -0.18, -1, -5, 0.4?
-5
Let z = 5 - 1. Let k be 1*(-10)/(-15) + 8/(-3). Let w be (-4)/4*(1 - -2). Which is the closest to w? (a) z (b) k (c) 2/7
b
Let v = 3.43 - 3.03. Let n = 3.86 + 0.14. What is the nearest to 2/9 in n, 1, v?
v
Let h = 3 + 2. Let q = -0.07 + -0.007. Let x = -0.177 - q. Which is the closest to x? (a) 2 (b) h (c) -3/7
c
Let w = -65528/1885 - 14/377. Let z = w + 1208/35. Let o = 0.09 + -3.09. What is the closest to o in 1/3, 5, z?
z
Suppose 4*f = 5*w + 25, f + f = 4*w + 20. Let a = -2.8773 - -2.86. Let q = a + -0.0527. What is the closest to 0.1 in q, f, 1/3?
f
Let x = -821/550 + -2/275. Let w = 2.7 - 4.9. Which is the closest to 2? (a) w (b) 0.1 (c) x
b
Suppose -2*g = -3*u + 3*g - 43, -4*u - 44 = -4*g. Let p be (8/u)/((-4)/27). What is the nearest to 0.2 in 5, p, 2?
2
Let m be ((-1)/4)/((-3)/(-4)). Let y = -63.1 + 110. Let j = y - 46.7. What is the closest to 0 in -2/7, m, j?
j
Let q = 0.08 - 5.08. Let k = 7 + q. Let t = -0.0647 - -2.0647. What is the nearest to k in 3/2, -2, t?
t
Let y = -1932.85 - -1932. Which is the nearest to 1? (a) y (b) -1/3 (c) 1 (d) 2
c
Suppose -4*z - 5*m + 2 = -3, m - 1 = 0. Let p = -3 + 3.1. Which is the closest to 0.1? (a) p (b) 4/53 (c) z
a
Let a = -24353.2 - -24354. What is the closest to -5/6 in a, -5, 3, -1?
-1
Let w be 2/8 - 1/4. Let m = 6/31 - 61/155. Let i = 1429/5 - 285. Which is the closest to -0.05? (a) i (b) m (c) w
c
Suppose 4*x = -4*m - 4, -8*m + 6*m - 3*x = -2. Suppose 94 = -3*z - 23. Let d = z - -35. Which is the nearest to -1? (a) m (b) d (c) -1/6
c
Let m = -1724.95 - -1725. What is the nearest to -3.9 in m, -4, -0.04, 5?
-4
Let u be 4/(-16) + -29*4/48. Let b = 10/3 + u. What is the nearest to 2/11 in -5, 1, b?
b
Let o = -5337.6 + 5338. What is the nearest to 2/3 in 8, 0, o, -0.12?
o
Let l be (-25)/((-4550)/(-4264)) + 24. Let v = 3.6 - 0.6. Which is the closest to -0.2? (a) 2/7 (b) v (c) l
a
Suppose 4*y - 2*y + 26 = 3*m, 29 = 3*m - 5*y. Let k be (12/m)/(35/(-14)). What is the nearest to 0.4 in k, 2, -3?
k
Let z = 42.9 - 42.82. What is the closest to 0.2 in 46, z, -3/5?
z
Let g = -2053/6 - -6163/18. Which is the closest to g? (a) -2.5 (b) 0 (c) -3 (d) -2/19
b
Let o = 4058 - 4054. What is the nearest to 0 in 1/17, o, -3?
1/17
Let x = -1880.94 + 1975. Let o = 94 - x. Let m = 0 - -0.1. Which is the nearest to -0.1? (a) m (b) o (c) -2/7
b
Let n = -5994 + 5993.8. Which is the closest to 108? (a) n (b) -3/5 (c) 3 (d) -3/4
c
Let p = 4340 - 4340. What is the nearest to p in 0.3, -2/11, -18, 4?
-2/11
Let q = 8361.1 + -8358. What is the nearest to 0.1 in 4/7, q, 4/11?
4/11
Let t = 331148/6937 + -22/991. Let n = t + -48. What is the closest to 5 in 1, n, -2/13?
1
Let u be 26/(-4)*-4*(-51)/(-6). Let k = u - 1544/7. Let o = 102 + -2649/26. Which is the nearest to 1/4? (a) o (b) k (c) -2
a
Suppose 97 = 8*k + 481. Let t = 80 + k. Suppose 7*f = t + 3. What is the nearest to 0 in f, -1, 0.4?
0.4
Let y(n) = -14*n - 9. Let k(v) = -v + 1. Let z(j) = -2*k(j) - y(j). Let r be z(-1). Let q be 4 + 1 + 44/r. Which is the closest to 1? (a) 3 (b) q (c) 0.08
b
Let i = 77/3 + -25. Let n = -1544.94 - -1545. Which is the nearest to 1/12? (a) -2/11 (b) n (c) i (d) -3/8
b
Let j = 5080 - 5055. What is the nearest to j in -2/7, 3, 0.1?
3
Let m = 15.01 - 14.917. What is the nearest to m in -3, -0.2, 0.07?
0.07
Let j(t) = 39*t + 175. Let i be j(-4). Which is the nearest to 0? (a) i (b) 4 (c) 0.02 (d) 0.3
c
Suppose -7*d - 18 = 4*x + 15, -x - 5*d = 18. Suppose -28 = 2*v - 4*v. Let g be 6/v - (-18)/105. Which is the nearest to -0.1? (a) 0.05 (b) g (c) x
a
Let z = 0.16083 - 4.16083. What is the nearest to -0.1 in 0.1, z, 776?
0.1
Let h be 6/2*((-68)/153)/((-24)/18). What is the nearest to -76/7 in 1/7, h, -0.1?
-0.1
Let u be -6 - ((-31)/(-10) - 1)/((-18)/50). Which is the nearest to -1? (a) u (b) -1 (c) -69
b
Let w = 7/317847 + 118232749/287651535. Let q = w + -2/181. Let d = -2890 - -2898. Which is the nearest to q? (a) d (b) -0.4 (c) -3
b
Let a = 115.58 + -115.31. What is the closest to -1.4 in -2/9, a, 2?
-2/9
Let u = 37/2 - 257/14. Let g = 1234 + -1236. Let n = -14
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*k**3/12 + 72*k. Factor n(p).
p*(p - 5)*(p - 1)**2*(p + 1)/2
Suppose 2*p + 4*g = 12, -p - 2*p - g = -3. Let c(r) be the second derivative of 0 + p*r**3 + 0*r**2 - r + 1/18*r**4. Factor c(l).
2*l**2/3
Factor 4*s**3 + 180*s**2 - 95 + 283 + 868117*s - 868489*s.
4*(s - 1)**2*(s + 47)
Let f = 1513/8 - 189. Let h(p) be the first derivative of f*p**4 + 2/3*p**3 + 5/4*p**2 + p + 5. Determine o, given that h(o) = 0.
-2, -1
Let -128/9 - 34/9*w**2 + 160/9*w + 2/9*w**3 = 0. What is w?
1, 8
Factor 59*z**3 + 25*z**4 - 24*z**3 - 60*z - 176*z**2 + 36*z**2.
5*z*(z - 2)*(z + 3)*(5*z + 2)
Let j be (-21)/(-12)*((-4)/(-36) + (-22)/1386). Factor -j*s - 1/3*s**2 + 1/6.
-(s + 1)*(2*s - 1)/6
Find v such that 7/8*v**3 + 3/8*v**5 + 1/2*v**2 - 5/4*v**4 + 0 - 1/2*v = 0.
-2/3, 0, 1, 2
Let w be 23/35 - 52/91. Let f = w - -27/35. Find u, given that -4/7 - f*u**2 + 2*u = 0.
1/3, 2
Let x(f) be the second derivative of -15*f + 5/4*f**4 + 5/3*f**3 + 0 + 0*f**2 + 1/4*f**5. Factor x(l).
5*l*(l + 1)*(l + 2)
Let r = 379 + -25013/66. Let y = r - -389/462. Solve -2/7*l**3 - 4/7*l - y*l**2 + 0 = 0 for l.
-2, -1, 0
Let g = 6/19 - -46/95. Let i(x) be the first derivative of -1/4*x**4 + g*x**5 + 1/2*x**2 - 4/3*x**3 + 6 + 0*x. Factor i(t).
t*(t - 1)*(t + 1)*(4*t - 1)
Let s(k) = -18*k**3 + 87*k**2 - 39*k - 156. Let o(z) = z**3 - z**2 + z + 4. Let y(h) = 12*o(h) + s(h). Factor y(d).
-3*(d - 12)*(d + 1)*(2*d - 3)
Factor -1/2*g**5 - g**4 + 0 + g**2 + 1/2*g + 0*g**3.
-g*(g - 1)*(g + 1)**3/2
Let s(l) be the first derivative of 5*l**6/6 + 3*l**5/4 - 3*l**4/4 + l**3/6 - 16*l - 1. Let v(m) be the first derivative of s(m). Factor v(j).
j*(j + 1)*(5*j - 1)**2
Let o(s) = -s**3 + 6*s**2 + 2*s - 10. Suppose 0 = -y + 6*y - 30. Let z be o(y). Suppose -6/7 - 4/7*g + 2/7*g**z = 0. What is g?
-1, 3
Let k(q) be the third derivative of -1/448*q**8 - 1/70*q**7 + 3*q**2 - 1/40*q**6 + 0*q**4 + 0*q**5 + 0 + 0*q + 0*q**3. Let k(f) = 0. What is f?
-2, 0
Let w(h) be the first derivative of 2*h**3/3 - 19*h**2 + 119. Factor w(v).
2*v*(v - 19)
Determine p so that -8*p**5 - 20*p - 34686*p**3 + 3*p**5 - 30*p**4 + 34621*p**3 - 60*p**2 = 0.
-2, -1, 0
Let l(b) be the third derivative of -b**6/120 - 7*b**5/30 + 31*b**4/24 - 8*b**3/3 - 104*b**2. Let l(t) = 0. What is t?
-16, 1
Let g = 49 - 50. Let r = g + 6/5. Factor -1/5*d**4 + 3/5*d**2 - 2/5 + 1/5*d - r*d**3.
-(d - 1)**2*(d + 1)*(d + 2)/5
Let r(d) = -d**2 + d. Suppose -19 = c - 3*w + 8, -145 = 5*c - 5*w. Let y(n) = -7*n**2 + 2*n - 4. Let h(s) = c*r(s) + 5*y(s). Determine u, given that h(u) = 0.
-2
Determine x, given that -1922/3 - 124/3*x - 2/3*x**2 = 0.
-31
Suppose -5*n + w - 21 = 0, -4*n - n = -2*w + 22. Let q be 3*n*(-3)/12. Factor 3*d**3 + d**2 - d**q + d**2.
2*d**2*(d + 1)
Let d(c) be the third derivative of -c**6/24 + c**5/6 + 35*c**4/24 + 10*c**3/3 - 114*c**2. Determine y, given that d(y) = 0.
-1, 4
Let v be (7 + -7)/(5 + -6). Let n(f) be the second derivative of 1/20*f**6 - 2*f - 3/20*f**5 + 0 + 0*f**3 + v*f**2 + 1/8*f**4. Let n(r) = 0. Calculate r.
0, 1
Let x = 17 - 11. Suppose 0*a + x = 3*a. Solve 1/2*c**5 + 0*c**3 - 1/2*c**4 + 0*c**a + 0*c + 0 = 0.
0, 1
Let w = -37 - -39. Suppose -400*d**2 + 396*d**w + d + 4 - d = 0. What is d?
-1, 1
Let 24/7*x + 3/7*x**2 + 45/7 = 0. What is x?
-5, -3
Solve -12/5*c + 0 + 24/5*c**3 + 26*c**2 - 22/5*c**4 = 0.
-2, 0, 1/11, 3
Let t(o) be the first derivative of -2*o**5 - 5*o**4 - 25*o**3/6 - 5*o**2/4 - 4. Factor t(l).
-5*l*(l + 1)*(2*l + 1)**2/2
Let d(m) be the third derivative of m**5/390 + m**4/26 - 16*m**3/39 + 73*m**2. Factor d(g).
2*(g - 2)*(g + 8)/13
Suppose 6*q + 12 - 36 = 0. What is o in 12*o**3 + 9*o**2 + 6*o**4 + 0*o**4 - 3*o**q = 0?
-3, -1, 0
Let s(z) be the third derivative of -z**8/420 - 8*z**7/525 + 11*z**6/150 - 2*z**5/25 + 10*z**2 + 3. Suppose s(q) = 0. Calculate q.
-6, 0, 1
Suppose 606/7*z**4 + 850/7*z**3 + 90/7*z**5 + 20/7*z + 354/7*z**2 + 0 = 0. Calculate z.
-5, -1, -2/3, -1/15, 0
Let t(k) be the third derivative of -k**6/204 - k**5/85 - k**4/204 + 86*k**2. Let t(h) = 0. What is h?
-1, -1/5, 0
Let c be (-1)/2 + 65/10 + -4. Let x(g) be the third derivative of -1/210*g**5 + 0 + 4*g**c - 1/21*g**3 - 1/42*g**4 + 0*g. Determine y so that x(y) = 0.
-1
Let f(b) = 3*b**2 + 3*b**2 - 18*b - 5*b**2 - 3*b**2 + 2. Let r be f(-9). Determine s, given that 2/15*s + 4/15*s**r - 2/15 = 0.
-1, 1/2
Suppose -2*m**3 + 16*m + 8*m**2 + 8 - 5/2*m**4 - 1/2*m**5 = 0. Calculate m.
-2, -1, 2
Suppose 5*v = -3*v + 648. Suppose 3*y = -v + 81. Factor 4/9*s**4 + 0*s**3 + 2/9*s**5 + 0 + y*s**2 + 0*s.
2*s**4*(s + 2)/9
Let l = 164 - 160. Let x(f) be the third derivative of 0*f - 1/20*f**5 - 5*f**2 + 1/4*f**l + 0 + 0*f**3. Factor x(h).
-3*h*(h - 2)
Let z(g) = -g**4 + g**3 - g**2 - g + 1. Let f = -23 - -22. Let t(y) = -6*y**4 + 10*y**3 - 2*y**2 - 10*y + 6. Let o(l) = f*t(l) + 2*z(l). Factor o(x).
4*(x - 1)**3*(x + 1)
Factor -64/5 - 76/5*l**3 - 4/5*l**4 - 204/5*l**2 - 196/5*l.
-4*(l + 1)**3*(l + 16)/5
Let u(o) be the third derivative of 0 - 2/51*o**3 - 7*o**2 + 1/510*o**5 + 0*o - 1/204*o**4. Let u(w) = 0. Calculate w.
-1, 2
Let f(h) be the second derivative of h**4/36 - 16*h**3/9 + 128*h**2/3 + 149*h. Let f(d) = 0. Calculate d.
16
Let j = 34 + -28. Determine p, given that p**3 + 21*p**4 + 12*p**3 + j*p**2 + 14*p**3 = 0.
-1, -2/7, 0
Suppose 2 = 5*s + 2*x, -3*s + 7*s - 2*x + 2 = 0. Let j(u) be the second derivative of 0*u**3 + 1/72*u**4 + u - 1/12*u**2 + s. What is n in j(n) = 0?
-1, 1
Suppose -h + 5*n = 3*h - 69, -36 = -h + 5*n. Let b(y) = 4*y**2 - 22*y - 38. Let x(s) = 7*s**2 - 43*s - 75. Let u(l) = h*b(l) - 6*x(l). Factor u(p).
2*(p + 4)**2
Let u = 120 + 144. Let c be 6/4 - (-44)/u. Factor 6*w**2 + c*w - 2/3.
(2*w + 1)*(9*w - 2)/3
Let a be 80/240 - 1/6*-1. Factor 1/2*c**2 + 0 + 0*c**3 - a*c**4 + 0*c.
-c**2*(c - 1)*(c + 1)/2
Let p(i) be the third derivative of -3*i**7/490 + i**6/280 + i**5/10 - i**4/14 - 4*i**3/7 + 12*i**2. Determine h so that p(h) = 0.
-2, -2/3, 1, 2
Let j(o) be the first derivative of o**4/16 + o**3/3 + 3*o**2/8 - 48. Solve j(p) = 0.
-3, -1, 0
Suppose 2*d - 7 = 5. Suppose 8*b - 10 = d. Solve 0*i + 0 - 1/2*i**b - 1/2*i**4 - i**3 = 0.
-1, 0
Let x(f) be the second derivative of -1/70*f**5 - 2/7*f**2 - 2/21*f**4 - 14*f - 5/21*f**3 + 0. Factor x(d).
-2*(d + 1)**2*(d + 2)/7
Factor 2/5*m + 1/5*m**2 + 0.
m*(m + 2)/5
Let n = 1097 - 1091. Let m(p) be the third derivative of 0*p + 0*p**3 - n*p**2 + 1/120*p**5 - 1/24*p**4 + 0. Suppose m(j) = 0. What is j?
0, 2
Let l be 0*((-1)/2 - -1). Let t be (8/140)/((-9)/(-126)). Determine a so that 6/5*a**2 + l + t*a**3 + 2/5*a = 0.
-1, -1/2, 0
Let y(s) = -s**2 + 10*s - 6. Let k be y(9). Factor -3*n + 2*n**2 + 10*n**2 - 5*n + 6*n**3 - 2*n**k + 4*n**5 - 12*n**4.
4*n*(n - 2)*(n - 1)**2*(n + 1)
Suppose 3*x - 2*x + 2 = 0. Let a be 4/(-6)*(x + 1). Let 4/3 + a*d - 4/3*d**2 - 2/3*d**3 = 0. Calculate d.
-2, -1, 1
Let w = -5365/8 - -671. Let g(o) be the first derivative of 3 - w*o**4 - 1/2*o**3 + 0*o + 0*o**2. Suppose g(q) = 0. Calculate q.
-1, 0
Let z be ((-135)/18 + 7)*20/(-1). Let a(n) be the first derivative of 15/4*n**4 + 0*n + 2 + n**5 - z*n**2 + 0*n**3. Factor a(w).
5*w*(w - 1)*(w + 2)**2
Let d = 675/4 + -135. What is l in -45/4*l**2 - d - 135/4*l - 5/4*l**3 = 0?
-3
Factor 468*o - 7*o**2 - 23 - 139*o - 119 + 170*o.
-(o - 71)*(7*o - 2)
Let v(x) be the third derivative of -x**10/151200 - x**9/60480 + x**8/10080 + x**5/15 - 4*x**2. Let s(d) be the third derivative of v(d). What is n in s(n) = 0?
-2, 0, 1
Let a be 78/3*(-1)/(-6). Let s be 4/(-18) + (174/(-81))/((-2)/3). Factor 4/3 + 5/3*w**s + 4/3*w - a*w**2.
(w - 2)*(w - 1)*(5*w + 2)/3
Suppose -9*b + 336 = -13*b. Let h = 87 + b. Factor 2/3*d**h + 0 + 0*d - 2/3*d**2.
2*d**2*(d - 1)/3
Let q(c) be the second derivative of -2*c**4 + 1/5*c**5 + 10/3*c**3 + 0*c**2 + 43*c + 0. Factor q(p).
4*p*(p - 5)*(p - 1)
Let p = 28 + -25. Factor 12*t**2 + 5*t**3 + t - 10*t**2 - 4*t**p.
t*(t + 1)**2
Let o(a) be the second derivative of -2*a**7/49 - 4*a**6/15 + a**5/35 + 16*a**4/7 + 104*a**3/21 + 32*a**2/7 + 3*a - 1. Let o(y) = 0. What is y?
-4, -1, -2/3, 2
Let d(o) = -o**5 + o**4 + o**3 - o. Let i(v) = 3*v**5 + 2*v**4 + 4*v**3 + 4*v**2 + 3*v. Let u(l) = -10*d(l) - 5*i(l). Factor u(n).
-5*n*(n + 1)**4
Let y(k) = 3*k**2 - 7 - 6*k + 4 - 3 - k**3. Let q(f) = f + 1. Let l(r) = 6*q
|
{
"pile_set_name": "DM Mathematics"
}
|
t) = t**3 + t + 1. Determine b(2).
11
Let p(r) = 19*r - 63. Give p(4).
13
Let s(k) = -k**3 + 11*k**2 - 17*k - 5. Calculate s(11).
-192
Let b(y) = y**3 - 12*y**2 + 15*y - 26. Give b(11).
18
Let k(b) = 7*b - 4. Calculate k(3).
17
Let f(m) = m**3 - 15*m**2 - m + 2. Determine f(15).
-13
Let j(h) = h**3 + 11*h**2 - 7. What is j(-11)?
-7
Let y(x) = 10*x + 313. Calculate y(-31).
3
Let w(y) = 25*y - 208. Give w(8).
-8
Let i(u) = -14*u + 28. What is i(4)?
-28
Let n(j) = -2*j**2 + 13*j - 6. Determine n(5).
9
Let s(a) = a**3 - 21*a**2 + 25*a + 20. Calculate s(20).
120
Let i(a) = 6*a**2 + 33*a - 51. Calculate i(-7).
12
Let w(r) = 2*r**2 - 14*r + 3. What is w(6)?
-9
Let q(u) = 10*u + 4. Give q(-5).
-46
Let d(v) = -v**3 - 3*v**2 + v + 5. Give d(-3).
2
Let a(s) = 24*s - 436. What is a(18)?
-4
Let v(c) = 2*c**2 - 10*c + 15. Calculate v(10).
115
Let r(m) = m + 81. What is r(-26)?
55
Let t(j) = j**3 + 10*j**2 - 15*j - 13. Calculate t(-10).
137
Let x(w) = -13*w + 65. Determine x(5).
0
Let w(x) = -x**2 + 9*x - 1. Determine w(6).
17
Let s(r) = r**2 - 3*r - 22. What is s(-5)?
18
Let w(r) = 4*r**2 - 8*r + 9. Determine w(2).
9
Let g(x) = -x**2 + 44*x - 202. Calculate g(39).
-7
Let y(j) = -48*j**2 - j. Determine y(-1).
-47
Let x(j) = -35*j + 21. Give x(5).
-154
Let b(r) = 72*r**3 + 2*r**2 - 5*r + 4. Give b(1).
73
Let t(p) = p**3 - 7*p**2 - 8*p + 52. Determine t(7).
-4
Let h(c) = -c**3 + 12*c**2 + 15*c - 15. Calculate h(13).
11
Let u(k) = 2*k**3 - 13*k**2 + 8*k - 4. Determine u(6).
8
Let j(l) = 14*l - 72. What is j(8)?
40
Let g(q) = q**3 - q**2 - 2. Give g(4).
46
Let u(o) = -o**3 - 8*o**2 + o + 7. Determine u(-5).
-73
Let t(p) = 30*p**2 - 20*p - 1. Give t(1).
9
Let k(z) = -7*z - 3. Calculate k(-3).
18
Let p(g) = -12*g + 6. What is p(1)?
-6
Let i(m) = 7*m**2 - 2*m - 15. Calculate i(3).
42
Let m(x) = 4*x**2 + 7*x + 13. What is m(-2)?
15
Let i(d) = d**2 - 18. Determine i(-5).
7
Let z(p) = 60*p + 29. What is z(-2)?
-91
Let x(l) = -2*l - 50. Calculate x(-27).
4
Let l(a) = -11*a**2 - 41*a - 24. Determine l(-3).
0
Let v(h) = h**2 - 16*h + 61. Give v(10).
1
Let y(v) = -v**3 - 14*v**2 - 19*v + 64. Calculate y(-12).
4
Let i(k) = -k**2 + 14*k - 14. What is i(10)?
26
Let r(i) = -i - 6. Determine r(4).
-10
Let d(f) = -2*f - 8. Give d(25).
-58
Let z(g) = 4*g + 72. Give z(-11).
28
Let p(s) = -5*s + 30. What is p(7)?
-5
Let v(z) = -z + 10. Give v(5).
5
Let b(q) = -q**3 - 20*q**2 + 45*q + 13. What is b(-22)?
-9
Let u(w) = w**2 + 3*w - 10. Give u(-4).
-6
Let y(h) = h - 6. Determine y(7).
1
Let y(l) = -l**3 + 3*l**2 - 1. Calculate y(3).
-1
Let b(z) = z**3 + 5*z**2 + 5*z + 11. Give b(-5).
-14
Let v(q) = -3*q**2 + 8*q + 3. Give v(7).
-88
Let a(c) = c**3 - 5*c**2 + 7*c - 4. Calculate a(4).
8
Let t(s) = s**3 + 12*s**2 - s - 17. Give t(-12).
-5
Let a(s) = -s**2 + 50*s - 562. What is a(33)?
-1
Let x(d) = 3*d - 124. Give x(38).
-10
Let x(m) = -m**3 + 7*m**2 + 3. What is x(7)?
3
Let p(l) = -5*l + 49. Calculate p(9).
4
Let a(x) = -x**3 - 9*x**2 + 11*x - 7. Calculate a(-9).
-106
Let k(n) = -n**2 + 6*n + 18. What is k(8)?
2
Let x(t) = t**2 + 4*t + 3. Give x(-5).
8
Let t(a) = a**3 - 2*a**2 - 2*a - 6. Give t(3).
-3
Let r(p) = -3*p - 7. Determine r(0).
-7
Let s(w) = w**3 - 12*w**2 + 12*w - 7. Give s(11).
4
Let f(t) = t**3 + 14*t**2 + 4*t + 19. Calculate f(-14).
-37
Let v(x) = x**2 + 6*x + 4. Calculate v(-7).
11
Let m(s) = -4*s**2 - 2. What is m(3)?
-38
Let x(q) = -26*q**2 + 3*q + 2. Give x(-1).
-27
Let y(c) = -32*c**2 + c - 1. Determine y(1).
-32
Let c(a) = -5*a + 2. Determine c(-5).
27
Let v(d) = -d + 11. What is v(0)?
11
Let c(w) = -2*w**2 + 10*w - 4. Give c(8).
-52
Let s(k) = k**2 + 3*k + 3. Give s(-2).
1
Let l(k) = -2*k**2 - 59*k + 297. Determine l(-34).
-9
Let m(f) = -f**2 + 37*f + 314. Calculate m(44).
6
Let o(n) = -n**3 + 16*n**2 - 5*n - 13. Calculate o(16).
-93
Let x(s) = s**3 + 2*s**2 + 4*s + 12. Determine x(-3).
-9
Let t(l) = -14*l + 25. Give t(3).
-17
Let v(d) = d**3 + 9*d**2 - 11*d - 20. What is v(-10)?
-10
Let h(i) = i**2 + 30*i + 87. Calculate h(-27).
6
Let c(v) = 3*v - 4. Determine c(1).
-1
Let l(q) = -q**3 - 6*q**2 + 7. Calculate l(-7).
56
Let l(i) = i**3 - i**2 + 9. Determine l(0).
9
Let a(m) = -m**3 - 12*m**2 - 7*m + 32. What is a(-11)?
-12
Let s(p) = p**2 + 6*p - 160. What is s(-16)?
0
Let w(r) = -r**3 + 5*r**2 + 12*r + 17. Calculate w(7).
3
Let y(p) = -2*p + 36. Give y(-10).
56
Let i(g) = -2*g**3 + 14*g**2 - 2*g - 12. Calculate i(7).
-26
Let x(p) = -2*p**2 - 2*p + 2. Calculate x(3).
-22
Let p(o) = -4*o + 4. Give p(9).
-32
Let c(v) = -10*v - 32. Calculate c(-4).
8
Let j(h) = h**2 - 12*h + 1. Give j(9).
-26
Let r(o) = o**2 - 2*o - 20. Determine r(7).
15
Let k(u) = 7*u + 8. Determine k(-3).
-13
Let c(f) = -6*f - 47. What is c(-8)?
1
Let w(t) = t**2 - 41*t + 107. Give w(38).
-7
Let v(i) = -22*i + 51. Calculate v(3).
-15
Let n(j) = j**2 + 17*j + 7. Determine n(-13).
-45
Let g(f) = -2*f**3 + 10*f**2 + 11*f + 10. Determine g(6).
4
Let x(w) = -w**2 + 6*w + 6. Calculate x(7).
-1
Let q(g) = -8*g + 1. Give q(-3).
25
Let u(i) = -i + 13. Calculate u(-19).
32
Let v(g) = -g**3 + 8*g**2 - 9*g + 15. What is v(5)?
45
Let r(o) = o**3 + 9*o**2 + 6*o - 16. Give r(-8).
0
Let v(y) = -y**2 + 114. What is v(11)?
-7
Let u(v) = v**3 - 4*v**2 + 4*v - 1. Give u(1).
0
Let i(h) = h**2 + 8*h - 2. Determine i(-8).
-2
Let i(o) = -2*o**3 + 39*o**2 - 19*o - 4. Give i(19).
-4
Let b(j) = j**3 - 7*j**2 - 16*j + 68. Calculate b(8).
4
Let u(g) = -10*g**2 + 2*g - 2. Determine u(1).
-10
Let p(c) = -5*c**2 - 5*c - 4. Give p(-1).
-4
Let c(w) = -4*w + 80. Give c(22).
-8
Let x(j) = j**3 + j + 9. Give x(-5).
-121
Let a(v) = v**3 - 7*v**2 + 7*v - 5. Determine a(6).
1
Let d(c) = -c**2 + 22*c + 10. Determine d(22).
10
Let o(j) = j**2 + 21*j - 29. What is o(-22)?
-7
Let z(u) = 2*u**2 + 3*u - 5. What is z(4)?
39
Let v(d) = 2*d + 26. Determine v(-13).
0
Let h(l) = 17*l**2 + l. Give h(1).
18
Let h(g) = -4*g + 7. Give h(-8).
39
Let n(u) = 3*u. Determine n(-2).
-6
Let p(d) = d**3 + 8*d**2 - 10*d + 12. Calculate p(-9).
21
Let m(f) = -f**3 + 37*f**2 - 33*f - 108. What is m(36)?
0
Let m(t) = -t**2 + 8*t - 5. Calculate m(6).
7
Let f(c) = -4*c**3 - c**2 - 3*c + 2. Determine f(-2).
36
Let o(t) = -t**2 + 2*t + 7. Calculate o(-6).
-41
Let c(j) = 2*j - 1. Determine c(-1).
-3
Let h(g) = 9*g + 104. Determine h(-12).
-4
Let u(c) = c**3 - 3*c**2 + 4*c. What is u(3)?
12
Let q(n) = -26*n**2 + n + 1. Calculate q(-1).
-26
Let i(t) = 3*t - 15. Calculate i(12).
21
Let y(s) = -s**2 + s + 19. Determine y(-13).
-163
Let r(g) = 7*g - 3. What is r(-4)?
-31
Let i(u) = u**3 + 5*u**2 - 21*u - 43. Give i(-7).
6
Let x(c) = 10*c - 3. What is x(-5)?
-53
Let g(w) = 4*w + 109. What is g(-35)?
-31
Let h(v) = -3*v - 1. Determine h(-7).
20
Let t(d) = -d**3 - 16*d**2 - 15*d + 34. Calculate t(-15).
34
Let q(x) = -4*x - 9. Determine q(-18).
63
Let i(x) = -2*x - 41. Give i(-18).
-5
Let s(f) = -f**3 + 5*f**2 - f + 2. Give s(4).
14
Let t(o) = -2*o + 74. What is t(35)?
4
Let m(b) = 4*b**3 + 33*b**2 + 6*b - 15. Determine m(-8).
1
Let w(r) = -r**3 + 3*r**2 - 2*r - 1. Determine w(5).
-61
Let f(w) = -2*w**2 - 6*w + 9. Give f(-4).
1
Let k(s) = -s**3 + 43*s**2 - 39*s - 126. What is k(42)?
0
Let v(p) = p**3 + 26*p**2 + 23*p - 39. What is v(-25)?
11
Let w(h) = 4*h. Give w(1).
4
Let c(m) = -m**2 + 13*m + 106. What is c(-6)?
-8
Let w(m) = 2*m**2 - 20*m + 47. Determine w(6).
-1
Let p(u) = -u**3 - u**2 + 2*u + 1. What is p(-1)?
-1
Let o(t) = 20*t + 464. Calculate o(-23).
4
Let b(n) = -n**2 - 38*n - 9. Give b(0).
-9
Let z(r) = 3*r**2 - 7*r + 5. Determine z(2).
3
Let d(r) = -r**3 + 13*r**2 + 7. Determine d(13).
7
Let p(t) = -10*t**2 + 3*t - 5. Calculate p(-3).
-104
Let m(u) = u**3 - 9*u**2 + 2*u + 10. Determine m(7).
-74
Let m(k) = k**3 - 14*k**2 + 19*k - 53. What is m(13)?
25
Let k(r) = -r**3 - 6*r**2 - 6*r - 2. Determine k(-4).
-10
Let g(x) = -x**3 + 12*x**2 - 13*x - 4. Determine g(11).
-26
Let q(h) = -h**2 + 6*h - 15. Give q(4).
-7
Let a(q) = 2*q**2 + 10*q + 12. Give a(-6).
24
Let n(m) = 52*m - 772. Give n(15).
8
Let d(t) = -2*t**2 - 47*t - 62. What is d(-21)?
43
Let c(n) = n**3 + 12*n**2 + 3*n - 3. What is c(-12)?
-39
Let r(z) = -2*z**3 + 7*z. Determine r(2).
-2
Let o(a) = -2*a**2 - 10*a - 20. Calculate o(-4).
-12
Let b(p) = p**2 - 22*p - 61. What is b(24)?
-13
Let s(y) = -y**3 + 29*y
|
{
"pile_set_name": "DM Mathematics"
}
|
etween 5:01 AM and 1:35 PM?
514
What is 667 minutes before 10:20 AM?
11:13 PM
What is 708 minutes before 7:55 AM?
8:07 PM
How many minutes are there between 5:44 AM and 3:54 PM?
610
How many minutes are there between 11:18 PM and 11:02 AM?
704
How many minutes are there between 5:27 AM and 12:08 PM?
401
How many minutes are there between 8:27 AM and 10:17 AM?
110
What is 482 minutes after 10:21 AM?
6:23 PM
What is 111 minutes after 3:15 AM?
5:06 AM
How many minutes are there between 10:49 PM and 12:25 AM?
96
What is 321 minutes after 4:49 PM?
10:10 PM
What is 33 minutes before 5:11 AM?
4:38 AM
How many minutes are there between 1:50 AM and 8:50 AM?
420
What is 153 minutes after 12:08 PM?
2:41 PM
How many minutes are there between 7:10 AM and 6:28 PM?
678
What is 318 minutes before 11:11 AM?
5:53 AM
How many minutes are there between 1:37 AM and 12:05 PM?
628
What is 354 minutes before 5:17 AM?
11:23 PM
How many minutes are there between 11:53 AM and 4:58 PM?
305
What is 402 minutes after 8:26 AM?
3:08 PM
How many minutes are there between 6:16 AM and 8:17 AM?
121
What is 616 minutes after 12:09 PM?
10:25 PM
What is 167 minutes before 4:26 PM?
1:39 PM
What is 553 minutes after 12:04 AM?
9:17 AM
How many minutes are there between 1:26 PM and 5:03 PM?
217
What is 279 minutes before 5:29 AM?
12:50 AM
What is 703 minutes before 11:49 PM?
12:06 PM
How many minutes are there between 3:59 PM and 7:22 PM?
203
What is 430 minutes before 5:20 PM?
10:10 AM
How many minutes are there between 8:35 AM and 6:52 PM?
617
What is 610 minutes before 4:34 AM?
6:24 PM
How many minutes are there between 6:35 PM and 11:58 PM?
323
What is 293 minutes before 4:02 PM?
11:09 AM
How many minutes are there between 8:51 PM and 2:44 AM?
353
How many minutes are there between 3:44 PM and 11:45 PM?
481
What is 149 minutes before 9:44 AM?
7:15 AM
What is 681 minutes before 5:51 AM?
6:30 PM
What is 328 minutes before 8:13 PM?
2:45 PM
How many minutes are there between 8:00 AM and 12:06 PM?
246
How many minutes are there between 5:24 AM and 10:48 AM?
324
What is 354 minutes after 9:52 AM?
3:46 PM
How many minutes are there between 3:43 AM and 7:47 AM?
244
How many minutes are there between 6:02 PM and 11:15 PM?
313
What is 454 minutes after 11:40 AM?
7:14 PM
What is 142 minutes after 9:45 PM?
12:07 AM
What is 676 minutes before 6:05 AM?
6:49 PM
How many minutes are there between 12:45 PM and 7:39 PM?
414
How many minutes are there between 12:31 PM and 10:17 PM?
586
What is 677 minutes before 7:02 PM?
7:45 AM
What is 584 minutes before 8:04 AM?
10:20 PM
How many minutes are there between 10:56 AM and 5:21 PM?
385
What is 132 minutes after 4:53 AM?
7:05 AM
How many minutes are there between 11:40 AM and 2:36 PM?
176
How many minutes are there between 11:54 AM and 11:31 PM?
697
How many minutes are there between 6:52 PM and 6:07 AM?
675
How many minutes are there between 5:40 AM and 8:08 AM?
148
How many minutes are there between 4:42 AM and 1:49 PM?
547
How many minutes are there between 10:02 PM and 12:19 AM?
137
How many minutes are there between 6:46 AM and 1:46 PM?
420
What is 332 minutes before 3:02 PM?
9:30 AM
What is 398 minutes before 8:30 AM?
1:52 AM
What is 410 minutes after 11:17 AM?
6:07 PM
How many minutes are there between 4:50 AM and 4:19 PM?
689
What is 50 minutes after 2:51 PM?
3:41 PM
What is 77 minutes before 2:13 PM?
12:56 PM
How many minutes are there between 4:40 AM and 12:51 PM?
491
How many minutes are there between 4:16 AM and 12:27 PM?
491
How many minutes are there between 6:49 PM and 6:07 AM?
678
What is 331 minutes after 1:58 AM?
7:29 AM
What is 332 minutes before 10:01 PM?
4:29 PM
How many minutes are there between 11:50 AM and 4:45 PM?
295
What is 4 minutes after 8:57 AM?
9:01 AM
What is 286 minutes after 3:42 AM?
8:28 AM
How many minutes are there between 5:03 AM and 4:48 PM?
705
How many minutes are there between 5:45 AM and 4:54 PM?
669
How many minutes are there between 3:26 PM and 11:38 PM?
492
How many minutes are there between 2:10 PM and 11:38 PM?
568
How many minutes are there between 7:01 PM and 10:07 PM?
186
How many minutes are there between 11:16 PM and 12:00 AM?
44
How many minutes are there between 4:16 AM and 10:44 AM?
388
What is 44 minutes before 9:17 PM?
8:33 PM
How many minutes are there between 12:37 PM and 11:32 PM?
655
How many minutes are there between 7:27 PM and 12:42 AM?
315
What is 126 minutes after 2:00 AM?
4:06 AM
How many minutes are there between 3:03 PM and 2:23 AM?
680
How many minutes are there between 8:58 AM and 9:38 AM?
40
What is 141 minutes after 1:00 AM?
3:21 AM
How many minutes are there between 11:33 PM and 10:30 AM?
657
How many minutes are there between 5:40 AM and 6:49 AM?
69
What is 292 minutes after 4:08 AM?
9:00 AM
How many minutes are there between 3:48 PM and 6:49 PM?
181
How many minutes are there between 11:05 AM and 4:03 PM?
298
What is 236 minutes before 5:38 PM?
1:42 PM
How many minutes are there between 3:31 AM and 7:14 AM?
223
What is 599 minutes before 5:18 AM?
7:19 PM
What is 328 minutes before 12:35 PM?
7:07 AM
What is 625 minutes after 4:00 AM?
2:25 PM
What is 578 minutes before 3:39 AM?
6:01 PM
How many minutes are there between 8:35 PM and 1:01 AM?
266
How many minutes are there between 12:33 AM and 3:50 AM?
197
How many minutes are there between 2:17 AM and 3:28 AM?
71
What is 400 minutes before 6:13 AM?
11:33 PM
How many minutes are there between 1:23 AM and 2:14 AM?
51
What is 669 minutes before 2:12 PM?
3:03 AM
What is 102 minutes before 4:14 AM?
2:32 AM
What is 502 minutes before 9:04 PM?
12:42 PM
How many minutes are there between 7:08 PM and 1:53 AM?
405
How many minutes are there between 5:19 PM and 6:30 PM?
71
How many minutes are there between 4:16 AM and 10:22 AM?
366
How many minutes are there between 12:28 AM and 11:40 AM?
672
What is 491 minutes before 4:04 AM?
7:53 PM
How many minutes are there between 12:03 AM and 4:03 AM?
240
What is 265 minutes after 1:44 PM?
6:09 PM
How many minutes are there between 2:22 AM and 10:30 AM?
488
What is 401 minutes before 1:56 AM?
7:15 PM
How many minutes are there between 1:55 AM and 12:20 PM?
625
How many minutes are there between 7:58 PM and 12:13 AM?
255
What is 688 minutes after 2:00 AM?
1:28 PM
What is 387 minutes before 8:13 AM?
1:46 AM
How many minutes are there between 2:41 PM and 2:26 AM?
705
What is 96 minutes before 3:00 PM?
1:24 PM
What is 719 minutes after 5:37 AM?
5:36 PM
How many minutes are there between 7:28 PM and 8:08 PM?
40
What is 27 minutes before 10:20 AM?
9:53 AM
What is 404 minutes before 4:45 AM?
10:01 PM
How many minutes are there between 10:33 PM and 4:39 AM?
366
How many minutes are there between 3:02 AM and 4:33 AM?
91
What is 697 minutes before 7:12 AM?
7:35 PM
What is 502 minutes after 5:07 AM?
1:29 PM
What is 669 minutes after 3:51 AM?
3:00 PM
How many minutes are there between 11:49 AM and 2:39 PM?
170
What is 52 minutes before 10:25 PM?
9:33 PM
What is 558 minutes before 10:26 AM?
1:08 AM
How many minutes are there between 2:05 PM and 6:42 PM?
277
What is 672 minutes before 10:53 PM?
11:41 AM
How many minutes are there between 10:20 AM and 9:38 PM?
678
How many minutes are there between 3:00 PM and 1:46 AM?
646
How many minutes are there between 4:36 AM and 2:06 PM?
570
How many minutes are there between 5:48 AM and 8:23 AM?
155
What is 11 minutes after 12:27 PM?
12:38 PM
How many minutes are there between 10:47 AM and 3:49 PM?
302
How many minutes are there between 6:07 AM and 3:43 PM?
576
What is 490 minutes after 2:36 PM?
10:46 PM
What is 51 minutes after 9:47 AM?
10:38 AM
How many minutes are there between 1:18 PM and 9:05 PM?
467
What is 359 minutes after 7:47 PM?
1:46 AM
How many minutes are there between 1:53 PM and 2:31 PM?
38
What is 572 minutes after 4:21 AM?
1:53 PM
What is 251 minutes after 7:28 PM?
11:39 PM
What is 98 minutes after 2:00 PM?
3:38 PM
What is 139 minutes after 9:09 AM?
11:28 AM
How many minutes are there between 3:35 PM and 1:16 AM?
581
What is 145 minutes after 4:34 AM?
6:59 AM
How many minutes are there between 5:24 PM and 1:01 AM?
457
How many minutes are there between 9:07 PM and 8:55 AM?
708
How many minutes are there between 10:35 PM and 3:37 AM?
302
How many minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
4:49 AM?
630
How many minutes are there between 2:03 AM and 7:26 AM?
323
What is 42 minutes after 8:00 PM?
8:42 PM
What is 675 minutes after 4:31 AM?
3:46 PM
What is 296 minutes before 11:55 AM?
6:59 AM
How many minutes are there between 9:20 PM and 7:12 AM?
592
What is 547 minutes after 1:48 AM?
10:55 AM
How many minutes are there between 12:35 AM and 9:23 AM?
528
How many minutes are there between 2:44 AM and 11:56 AM?
552
What is 501 minutes before 5:30 AM?
9:09 PM
What is 203 minutes before 5:18 PM?
1:55 PM
What is 253 minutes after 11:09 PM?
3:22 AM
What is 126 minutes before 12:05 AM?
9:59 PM
How many minutes are there between 2:58 PM and 11:22 PM?
504
How many minutes are there between 4:20 PM and 9:30 PM?
310
How many minutes are there between 12:01 PM and 12:45 PM?
44
What is 156 minutes after 1:30 PM?
4:06 PM
How many minutes are there between 12:50 PM and 6:22 PM?
332
How many minutes are there between 4:32 PM and 9:32 PM?
300
What is 97 minutes before 1:16 AM?
11:39 PM
How many minutes are there between 3:29 PM and 4:32 PM?
63
How many minutes are there between 2:29 AM and 12:39 PM?
610
How many minutes are there between 5:29 AM and 1:40 PM?
491
How many minutes are there between 2:18 PM and 9:12 PM?
414
How many minutes are there between 1:18 PM and 6:59 PM?
341
How many minutes are there between 8:59 AM and 10:28 AM?
89
How many minutes are there between 6:29 PM and 5:51 AM?
682
What is 611 minutes before 1:37 PM?
3:26 AM
How many minutes are there between 11:39 PM and 2:54 AM?
195
What is 244 minutes after 7:41 PM?
11:45 PM
How many minutes are there between 10:01 PM and 9:28 AM?
687
What is 474 minutes before 10:57 PM?
3:03 PM
What is 344 minutes before 1:39 AM?
7:55 PM
What is 328 minutes after 12:27 AM?
5:55 AM
How many minutes are there between 4:50 PM and 8:07 PM?
197
What is 496 minutes after 8:26 AM?
4:42 PM
How many minutes are there between 4:54 PM and 3:49 AM?
655
How many minutes are there between 12:13 PM and 7:14 PM?
421
How many minutes are there between 5:53 AM and 6:02 AM?
9
What is 173 minutes after 11:47 PM?
2:40 AM
How many minutes are there between 3:16 AM and 2:38 PM?
682
How many minutes are there between 4:03 PM and 1:47 AM?
584
What is 706 minutes before 5:58 AM?
6:12 PM
What is 252 minutes after 9:07 AM?
1:19 PM
What is 322 minutes before 12:13 PM?
6:51 AM
How many minutes are there between 11:28 AM and 11:23 PM?
715
How many minutes are there between 12:59 AM and 4:36 AM?
217
What is 298 minutes after 1:46 AM?
6:44 AM
How many minutes are there between 9:32 PM and 6:16 AM?
524
What is 408 minutes before 4:40 AM?
9:52 PM
What is 700 minutes before 4:39 PM?
4:59 AM
How many minutes are there between 10:28 AM and 1:24 PM?
176
What is 92 minutes before 4:23 PM?
2:51 PM
How many minutes are there between 3:31 PM and 5:53 PM?
142
What is 414 minutes before 8:24 AM?
1:30 AM
How many minutes are there between 7:34 PM and 5:44 AM?
610
How many minutes are there between 4:33 PM and 12:33 AM?
480
How many minutes are there between 1:39 PM and 11:50 PM?
611
How many minutes are there between 7:31 PM and 4:51 AM?
560
How many minutes are there between 6:18 PM and 4:49 AM?
631
What is 573 minutes after 3:59 AM?
1:32 PM
How many minutes are there between 1:42 PM and 12:54 AM?
672
What is 303 minutes before 1:06 PM?
8:03 AM
How many minutes are there between 7:45 PM and 2:31 AM?
406
How many minutes are there between 11:31 AM and 11:01 PM?
690
What is 493 minutes after 2:03 PM?
10:16 PM
How many minutes are there between 11:37 PM and 7:19 AM?
462
What is 14 minutes after 2:58 AM?
3:12 AM
How many minutes are there between 2:27 AM and 5:20 AM?
173
How many minutes are there between 11:45 PM and 10:57 AM?
672
How many minutes are there between 9:57 AM and 3:14 PM?
317
What is 53 minutes before 1:34 PM?
12:41 PM
What is 260 minutes before 9:59 AM?
5:39 AM
How many minutes are there between 2:12 PM and 2:51 PM?
39
What is 323 minutes after 1:37 AM?
7:00 AM
How many minutes are there between 12:32 PM and 6:38 PM?
366
How many minutes are there between 2:05 AM and 9:51 AM?
466
How many minutes are there between 6:57 AM and 10:54 AM?
237
How many minutes are there between 3:05 AM and 10:13 AM?
428
What is 191 minutes after 12:45 AM?
3:56 AM
How many minutes are there between 9:47 AM and 12:52 PM?
185
How many minutes are there between 2:49 PM and 2:31 AM?
702
What is 252 minutes after 2:11 AM?
6:23 AM
How many minutes are there between 4:49 AM and 11:14 AM?
385
What is 170 minutes before 11:47 AM?
8:57 AM
How many minutes are there between 9:57 PM and 2:43 AM?
286
What is 318 minutes before 1:13 PM?
7:55 AM
What is 703 minutes after 8:52 PM?
8:35 AM
How many minutes are there between 4:48 AM and 9:02 AM?
254
How many minutes are there between 2:38 AM and 5:02 AM?
144
What is 211 minutes after 11:03 PM?
2:34 AM
How many minutes are there between 8:12 AM and 11:41 AM?
209
How many minutes are there between 6:51 PM and 1:50 AM?
419
What is 20 minutes after 4:01 AM?
4:21 AM
What is 558 minutes before 8:25 PM?
11:07 AM
How many minutes are there between 1:00 AM and 7:25 AM?
385
How many minutes are there between 10:47 AM and 12:44 PM?
117
What is 708 minutes after 5:08 PM?
4:56 AM
How many minutes are there between 5:14 PM and 6:25 PM?
71
How many minutes are there between 3:05 PM and 3:40 PM?
35
How many minutes are there between 7:12 AM and 1:54 PM?
402
What is 687 minutes after 3:18 PM?
2:45 AM
How many minutes are there between 4:28 PM and 5:01 PM?
33
What is 547 minutes after 6:22 AM?
3:29 PM
What is 703 minutes before 10:30 AM?
10:47 PM
What is 317 minutes after 2:59 PM?
8:16 PM
What is 298 minutes before 6:40 AM?
1:42 AM
How many minutes are there between 12:30 PM and 2:51 PM?
141
How many minutes are there between 5:23 PM and 4:33 AM?
670
What is 291 minutes after 5:47 PM?
10:38 PM
How many minutes are there between 3:46 PM and 4:28 PM?
42
What is 207 minutes before 5:21 PM?
1:54 PM
What is 367 minutes after 2:39 AM?
8:46 AM
How many minutes are there between 4:33 AM and 11:36 AM?
423
How many minutes are there between 6:00 PM and 3:13 AM?
553
How many minutes are there between 5:22 AM and 11:17 AM?
355
How many minutes are there between 10:16 PM and 8:50 AM?
634
How many minutes are there between 1:55 PM and 9:19 PM?
444
How many minutes are there between 6:40 PM and 1:21 AM?
401
How many minutes are there between 5:40 AM and 11:17 AM?
337
How many minutes are there between 6:37 PM and 1:27 AM?
410
How many minutes are there between 5:19 AM and 2:32 PM?
553
How many minutes are there between 3:46 PM and 12:31 AM?
525
What is 652 minutes after 4:17 PM?
3:09 AM
What is 204 minutes before 4:13 PM?
12:49 PM
What is 292 minutes before 5:29 PM?
12:37 PM
How many minutes are there between 10:05 PM and 12:00 AM?
115
How many minutes are there between 4:03 AM and 2:27 PM?
624
What is 320 minutes before 1:16 AM?
7:56 PM
How many minutes are there between 4:23 PM and 5:26 PM?
63
What is 667 minutes after 6:54 PM?
6:01 AM
What is 331 minutes after 1:51 PM?
7:22 PM
How many minutes are there between 4:41 AM and 3:48 PM?
667
What is 165 minutes after 2:18 AM?
5:03 AM
What is 300 minutes before 1:10 PM?
8:10 AM
How many minutes are there between 11:49 PM and 4:28 AM?
279
What is 676 minutes after 2:49 PM?
2:05 AM
How many minutes are there between 3:16 PM and 8:02 PM?
286
How many minutes are there between 9:37 PM and 6:54 AM?
557
What is 270 minutes before 8:57 PM?
4:27 PM
How many minutes are there between 4:34 AM and 12:46 PM?
492
What is 596 minutes after 10:35 PM?
8:31 AM
How many minutes are there between 10:09 AM and 11:09 AM?
60
What is 682 minutes after 12:09 AM?
11:31 AM
What is 136 minutes after 1:33 PM?
3:49 PM
How many minutes are there between 9:48 AM and 7:59 PM?
611
What is 589 minutes before 11:10 AM?
1:21 AM
What is 660 minutes before 8:31 PM?
9:31 AM
How many minutes are there between 5:24 AM and 3:06 PM?
582
What is 692 minutes after 4:22 PM?
3:54 AM
What is 539 minutes after 3:06 AM?
12:05 PM
What is 321 minutes after 10:32 AM?
3:53 PM
How many minutes are there between 5:22 AM and 4:34 PM?
672
What is 524 minutes after 7:40 AM?
4:24 PM
What is 599 minutes after 11:12 PM?
9:11 AM
What is 538 minutes after 12:0
|
{
"pile_set_name": "DM Mathematics"
}
|
5/5 - 5*z**4/3 + 16*z**3/3 - 8*z**2 + 9*z. Find n such that w(n) = 0.
1, 2
Let s(h) = 4*h**3 + 13*h**2 - 10*h + 7. Let z(c) = c**3 + 4*c**2 - 3*c + 2. Let t(d) = 4*s(d) - 14*z(d). Determine p, given that t(p) = 0.
0, 1
Suppose -3*s**2 + 12*s + 1/4*s**3 - 16 = 0. What is s?
4
Suppose -4*c + 78 = -26. Let k = c - 76/3. Solve 2/3*z**2 + 0 + k*z = 0 for z.
-1, 0
Factor 0 + 18/11*h**2 - 6/11*h**5 - 30/11*h**3 - 4/11*h + 2*h**4.
-2*h*(h - 1)**3*(3*h - 2)/11
Factor -2/5*q**2 + 8/5*q - 6/5.
-2*(q - 3)*(q - 1)/5
Let j(y) = y**3 - 5*y**2 + 5*y. Let b(f) = -f**3 + 4*f**2 - 4*f. Let m = -2 - -8. Suppose -m*p = -2*p - 20. Let k(o) = p*b(o) + 4*j(o). What is s in k(s) = 0?
0
Let b(t) = -t**3 + 11*t**2 - 11*t + 16. Let m be b(10). Suppose -4*o + 5*w = -25, -5*w - 19 = o + m. Factor -2/9*s + o - 2/9*s**2.
-2*s*(s + 1)/9
Let m = -308 - -1544/5. Suppose -5*v + 1 = 4*t - 7, 3*t = -2*v + 6. Factor 2/5*q + 0 + v*q**3 + 4/5*q**4 - 2/5*q**5 - m*q**2.
-2*q*(q - 1)**3*(q + 1)/5
Let a(y) be the first derivative of y**6/30 + 3*y**5/20 + y**4/12 - y**3/2 - y**2 + 6*y + 6. Let h(n) be the first derivative of a(n). Factor h(b).
(b - 1)*(b + 1)**2*(b + 2)
Let c(b) = -4*b**4 + 16*b**3 - 12*b + 20. Let a(p) = -p**2 + p - 1. Let y(i) = 20*a(i) + c(i). Suppose y(k) = 0. What is k?
0, 1, 2
Let u(s) be the first derivative of -2/3*s**3 - 4*s**2 - 8*s - 5. Suppose u(v) = 0. What is v?
-2
Let a(j) be the third derivative of j**6/60 - j**5/15 - 23*j**2. Factor a(g).
2*g**2*(g - 2)
Let r(y) = y**2 - 1. Let o = 7 + -11. Let a(x) = -x**2 + 1. Suppose -11*m - 6 = -9*m. Let g(j) = m*a(j) + o*r(j). Determine t so that g(t) = 0.
-1, 1
Let u(q) = 2*q**2 - 36*q + 40. Let x be u(17). Let h(l) be the third derivative of 0 - 3/10*l**5 + 1/3*l**3 + 1/4*l**4 - 4*l**2 + 0*l + 1/12*l**x. Factor h(c).
2*(c - 1)**2*(5*c + 1)
Let v be (3/(-6))/((-21)/108). Let x = -65/28 + v. Factor 1/4*t**3 + 1/4*t**4 - x*t - 1/4*t**2 + 0.
t*(t - 1)*(t + 1)**2/4
Solve 1/2*q**3 - 1/2*q + 0 - 1/2*q**2 + 1/2*q**4 = 0.
-1, 0, 1
Let i = 11 - 8. Find a, given that 4*a**2 - a**2 + 2*a**4 - 6*a**i + a**4 = 0.
0, 1
Let v = 198 + -198. Factor v*o + 2/3*o**5 + 4/3*o**4 + 0*o**2 + 0 + 2/3*o**3.
2*o**3*(o + 1)**2/3
Factor -49*c**2 - 7*c**3 - 3*c**3 + 14*c**3 + 57*c**2.
4*c**2*(c + 2)
Let u(x) be the second derivative of 0*x**3 - 6*x - 4/3*x**2 + 1/30*x**5 + 1/6*x**4 + 0. Factor u(k).
2*(k - 1)*(k + 2)**2/3
Let m(y) = -y**5 + y**3 - y**2. Let d(b) = -3*b**5 + 16*b**4 - 15*b**3 + 6*b**2. Let k(u) = d(u) + 4*m(u). Solve k(f) = 0 for f.
0, 2/7, 1
Let c = 7/5 - 58/45. Let x(s) be the first derivative of 0*s**2 + 2 - c*s**3 + 0*s. What is y in x(y) = 0?
0
Let s(c) be the second derivative of -c**4/102 - c**3/51 + 2*c**2/17 + 6*c. Suppose s(w) = 0. Calculate w.
-2, 1
Let u = -19 - -58/3. Solve u*g**2 - 2/3*g + 1/3 = 0 for g.
1
Suppose v + 3*k = 18, -v - 3*v - k + 17 = 0. Factor 6*h**4 - h - 2 - 6*h**3 - 5*h**5 + 7*h - 4*h**2 + v*h**5 + 2*h**3.
-2*(h - 1)**4*(h + 1)
Let l be (-40 + 4)*26/(-429). What is m in -8/11*m**2 - l*m**3 + 2/11*m**4 + 0*m + 0 + 30/11*m**5 = 0?
-2/3, -2/5, 0, 1
Let x = 41 - 39. Let z(u) be the first derivative of 1/6*u**6 + 0*u**2 + 0*u - 3/5*u**5 - 1/3*u**3 + 3/4*u**4 - x. Factor z(o).
o**2*(o - 1)**3
Let x(s) be the first derivative of -s**6/120 + s**5/48 - s**4/96 - s**2 + 2. Let o(m) be the second derivative of x(m). Factor o(u).
-u*(u - 1)*(4*u - 1)/4
Let v(f) be the third derivative of -f**5/480 - f**4/192 - 5*f**2. Determine w so that v(w) = 0.
-1, 0
Let i(v) = -v**2 + 6*v + 5. Let d be i(5). Let b = d + -6. Factor 3*o**5 - 4*o**b + 3*o**4 - 2*o**5.
o**4*(o - 1)
Let p(b) be the second derivative of 5*b**4/12 - 5*b**3/6 - 40*b. Factor p(z).
5*z*(z - 1)
Let w be ((-115)/(-20))/((-15)/14). Let c = 37/6 + w. Factor 2/5 - c*d + 2/5*d**2.
2*(d - 1)**2/5
Let h be -2 + 11 + (0 - 7). Determine u so that -4/7*u**3 + 0*u + 0 - 1/7*u**h - 3/7*u**4 = 0.
-1, -1/3, 0
Suppose 5*y = -x, 0 = -4*x - 3*y + 5*y. Factor -2/7*o**5 + 2/7*o + x - 4/7*o**2 + 4/7*o**4 + 0*o**3.
-2*o*(o - 1)**3*(o + 1)/7
Factor 0 - 4/5*n**2 + 2/5*n**3 + 0*n.
2*n**2*(n - 2)/5
Suppose 3*d + 0*d = 0. Let l = -10 - -12. Factor -10/7*f**4 + d + 0*f - 4/7*f**3 + 0*f**l.
-2*f**3*(5*f + 2)/7
Suppose -3*l + 10 = 4*x, l + 0 = -3*x + 5. Factor 18*f - 6*f - f**5 - l*f**2 + 8 - 33*f**3 - 6*f**4 + 22*f**3.
-(f - 1)*(f + 1)*(f + 2)**3
Suppose -2*u + 8 = 2*u. Solve -4/3*j + 0 - 2/3*j**u = 0.
-2, 0
Let j(g) be the third derivative of -g**4/24 - g**3/6 - 7*g**2. Let x be j(-3). Factor -4/5 + 6/5*q + x*q**2.
2*(q + 1)*(5*q - 2)/5
Let g be (4 - 2)*(13 + -6). Let m be (-6)/g - (-87)/105. Suppose 0*f + 2/5*f**4 + m*f**2 + 0 + 4/5*f**3 = 0. What is f?
-1, 0
Let f(l) = 45*l**5 - 15*l**4 - 80*l**3 + 15*l**2 + 85*l. Let p(x) = 11*x**5 - 4*x**4 - 20*x**3 + 4*x**2 + 21*x. Let y(c) = -6*f(c) + 25*p(c). Factor y(v).
5*v*(v - 3)*(v - 1)*(v + 1)**2
Let o(r) = -r + 15. Let i be o(15). Let q(b) be the third derivative of i*b**3 + 0*b**5 - 1/60*b**6 + 0*b**4 + 0*b - 4*b**2 - 1/105*b**7 + 0. Factor q(w).
-2*w**3*(w + 1)
Let l(o) = o. Let u(q) = q**3 - q**2 - 3*q. Let z(c) = -3*l(c) - u(c). Find n, given that z(n) = 0.
0, 1
Let z(p) be the third derivative of 4*p**7/1365 - 23*p**6/780 + p**5/15 + 2*p**4/39 + 60*p**2. Find x, given that z(x) = 0.
-1/4, 0, 2, 4
Suppose -3*i + 4*a + 10 = 0, 4*a + 10 = 4*i + 2*a. Suppose 4*o - 6 = 3*v, v + 5 = 5*o - 8. Find h such that -2*h**4 + i*h**3 - 2*h**o + 0*h**4 + 2*h**3 = 0.
0, 1
Suppose -a - 30 = a. Let b be (-5)/a + 32/3. Suppose 2*s - b*s**2 + 7 + 9*s**3 - 7 = 0. Calculate s.
0, 2/9, 1
Let b(n) be the third derivative of -1/105*n**7 + 0*n**3 + 1/6*n**4 - 6*n**2 + 0*n - 1/20*n**6 + 0 + 1/168*n**8 + 1/30*n**5. Factor b(p).
2*p*(p - 2)*(p - 1)*(p + 1)**2
Suppose 2*h + 23*v - 19*v = 6, -3 = -5*h + 2*v. Let h + 17/2*z + 18*z**2 = 0. Calculate z.
-1/4, -2/9
Let y = -5 - -9. What is l in 3*l**4 - 2*l**5 - 4*l**3 - 9*l**y - 2*l**3 - 2*l**2 = 0?
-1, 0
Let d(j) be the first derivative of -2 + 5/4*j**4 + 5/4*j**2 + 1/12*j**6 + 1/2*j**5 + 5/3*j**3 + 1/2*j. Suppose d(p) = 0. What is p?
-1
Let o(x) be the third derivative of 4*x**2 + 1/8*x**4 + 0 + 0*x - 1/20*x**5 + 0*x**3. Suppose o(s) = 0. Calculate s.
0, 1
Suppose -18 + 6*k - 1/2*k**2 = 0. What is k?
6
Let u(v) be the second derivative of -38*v**6/15 + 8*v**5 - 23*v**4/3 + 4*v**3/3 + 9*v. Find g such that u(g) = 0.
0, 2/19, 1
Let m = 1 - -1. Let t be (5/(-2))/((-1)/m). What is y in y**4 + 3*y**3 - 2*y**4 - t*y**3 - y**2 = 0?
-1, 0
Factor -5*v**2 + v**4 + 3*v**4 + 10*v - 10*v**3 + v**4.
5*v*(v - 2)*(v - 1)*(v + 1)
Let x = -595/2 + 301. Let a be -1 + 2 + (2 - 0). Solve -x*y**2 + 3/2*y + 4*y**a + 1/2*y**5 - 9/4*y**4 - 1/4 = 0 for y.
1/2, 1
Let 6/7*c**2 + 0 + 2/7*c**3 + 0*c = 0. Calculate c.
-3, 0
Let y(c) = -c**3 + c**2. Let p be (-3 - (-39)/(-9))*-3. Let a(u) = u**4 - 13*u**3 + 12*u**2. Let r(v) = p*y(v) - 2*a(v). Factor r(o).
-2*o**2*(o - 1)**2
Factor 0 - 6/5*t - 3/5*t**2.
-3*t*(t + 2)/5
Find f such that 5 + f**3 - 10*f + 3*f**3 + 5*f**3 + f**3 - 5*f**4 = 0.
-1, 1
Let b = 6 - -6. Let r(p) = p**2 + 3*p - 2. Let s be r(-4). Factor -2*u**3 + 3*u**3 + 15*u - b*u**s - 6 + 2*u**3 + 0*u**3.
3*(u - 2)*(u - 1)**2
Let v(u) = 12*u - 8. Let p be v(1). Let j(z) be the third derivative of -1/360*z**6 + 0*z**4 + 0 - 1/630*z**7 - p*z**2 + 0*z + 0*z**3 + 1/90*z**5. Factor j(i).
-i**2*(i - 1)*(i + 2)/3
Let z(r) be the third derivative of -r**9/1008 - r**8/280 + r**6/60 + r**5/40 + r**3/2 - 2*r**2. Let g(i) be the first derivative of z(i). Solve g(c) = 0 for c.
-1, 0, 1
Let r(q) be the first derivative of 4 + 9/2*q**2 - 3/2*q**4 - 1/2*q**6 - 2*q**3 + 9/5*q**5 - 3*q. Solve r(v) = 0 for v.
-1, 1
Let b = 2 + -2. Let a(p) be the third derivative of 0*p**3 + 0 - 2/105*p**7 + b*p - 1/336*p**8 + 3*p**2 - 1/24*p**4 - 1/15*p**5 - 1/20*p**6. Factor a(x).
-x*(x + 1)**4
Let p be 326/(-15) + 6/15. Let q = -21 - p. Factor 2/3*o - 1/3*o**3 - q*o**2 + 0.
-o*(o - 1)*(o + 2)/3
Let u = -8 - -5. Let w = u - -7. Factor n**w + 0*n**2 + 0*n**4 + 2*n**2 - n**2 - 2*n**3.
n**2*(n - 1)**2
Let l be 1/(-2)*(-1 + -5). Suppose 4*t - 4*k - 36 = 0, t - l*k - 7 = 3*t. Determine u so that -u**5 + t*u**2 - 4*u**4 + 11*u**5 - 12*u**3 + 2*u**3 = 0.
-1, 0, 2/5, 1
Let z(b) be the second derivative of b**7/105 + b**6/25 - b**5/50 - b**4/10 - 6*b. What is u in z(u
|
{
"pile_set_name": "DM Mathematics"
}
|
is l rounded to three dps?
-0.012
Let f = -1317.478 - -1467.2. What is f rounded to the nearest 10?
150
Let u = -260 - -113. Let d = u - -146.999813. What is d rounded to 5 dps?
-0.00019
Let h = -328 + 669. Let i = h - 339.51. Round i to 1 dp.
1.5
Let z = -0.55 + 0.78. Let h = -0.01 + z. Let l = 0.47 - h. Round l to one dp.
0.3
Let q(p) = -4 - 105857*p - 30633*p - 22 - 29 + 9805*p. Let f be q(-3). Round f to the nearest 100000.
400000
Suppose 4*o + 53965 = f - 416214, -4*f - 2*o = -1880644. Let h = f - -9929837. What is h rounded to the nearest 1000000?
10000000
Let w = -89.053 + -18.077. Let m = 20.18 + w. Let t = m + 85. Round t to one dp.
-2
Let c = 2.571480176 + -8.2214796. Let k = -5.65 - c. What is k rounded to seven decimal places?
-0.0000006
Let q = 1.6062 + -16.0042. Round q to 0 decimal places.
-14
Let d = -0.189 + 79.189. Let b = 72.2 - d. Let l = -8.07 - b. Round l to 1 decimal place.
-1.3
Let a = -0.41 + 0.2842. Let c = 0.1257101 + a. Round c to five decimal places.
-0.00009
Let h = 211.918 + 11.342. Round h to the nearest ten.
220
Let d = -60974.7 + 58405. What is d rounded to the nearest 100?
-2600
Let l = 391 + -390.873. Let b = l - 0.14. Round b to 3 dps.
-0.013
Let n(q) = -q**3 - 26*q**2 - 25*q - 6. Suppose 5*k + 165 = 40. Let y be n(k). Let p be (623/(-14))/(-1 + (-3)/y). Round p to the nearest ten.
90
Let o = 1408 - 1441. Let v = 1485383.00236 + -1485416. Let a = v - o. What is a rounded to four dps?
0.0024
Suppose 3*b = -5*c + 92629 - 384589, -c - 97318 = b. Round b to the nearest 1000.
-97000
Suppose 16 = -27*i + 19*i. Let p be (3620/(-6))/((i/18)/(-1)). What is p rounded to the nearest 1000?
-5000
Suppose -u = -2*u - 5*t - 16138577, -t = 3*u + 48415787. Let j be (-4)/((-4)/u)*1. Let q = 25538597 + j. What is q rounded to the nearest one million?
9000000
Let z = -12102.013394 + 12102. Let b = -0.0128 - z. Round b to 4 decimal places.
0.0006
Let q(z) = 538*z**3 + 8*z**2 - 19*z + 297. Let c be q(-13). What is c rounded to the nearest ten thousand?
-1180000
Let c(j) = -4*j**2 + 14*j**2 - 4 - 5*j**3 + 7 + 6*j**3. Let n be c(-10). Suppose n*o = 6*o - 429. Round o to the nearest ten.
140
Let m = -43 - -55. Let v = -10 + m. Let d be 16600000 - 4/(8/v)*0. Round d to the nearest 1000000.
17000000
Let c = -39.123 - -39.104251. What is c rounded to three decimal places?
-0.019
Let c be 252/(-27)*(-39735)/(-12)*-2. What is c rounded to the nearest 1000?
62000
Let u = -1.855 - -0.46. Let n = -1.4681 - u. Round n to 2 decimal places.
-0.07
Let i be 262500/(-90)*(-46416)/1. Round i to the nearest one million.
135000000
Let w(h) = -4*h + 2*h**3 - h + 3 + 6*h - 12*h**2 - 4. Let a be w(6). Suppose m - k - 4*k + 64200 = 0, -128400 = 2*m + a*k. Round m to the nearest 10000.
-60000
Let y = -80.6 - -14.6. Let o = -266692 + 266758.00208. Let v = o + y. What is v rounded to four dps?
0.0021
Let u be 5/15 + 56/12. Let h(d) = 1558002*d - 10. Let w be h(u). Round w to the nearest one million.
8000000
Let v be -3 - (28483 + (3 - -11)). What is v rounded to the nearest 100000?
0
Let f = 2652.852 - 2678. Round f to the nearest ten.
-30
Let s = 18632 - 18631.9986193. Round s to five decimal places.
0.00138
Let i = -2308.3101 - -12608052.3101. Let o = i + -12605736.099957. Let t = -7.9 + o. Round t to 5 decimal places.
0.00004
Let j = -615857.9876 + 615744. Let g = j + 114. What is g rounded to 3 dps?
0.012
Suppose 4*x = w - 81, -2*x + 3*w = -4 + 37. Let m be x/(-42) - (-77738998)/4. Let d = -13434750 + m. What is d rounded to the nearest 1000000?
6000000
Let j = -3434 + 3433.9999945965. Round j to seven dps.
-0.0000054
Let s = -29382 - -28301.78. Round s to the nearest ten.
-1080
Let v = -3861614 - -3861603.899826. Let z = v - -10.1. What is z rounded to 5 dps?
-0.00017
Let i = 4464 - 3008. Let x = i - 1455.999998186. What is x rounded to seven dps?
0.0000018
Let p = 1.5806 + 671.4094. Round p to the nearest one hundred.
700
Let n = -15069596619 - -15069596446.99999158. Let o = n + 172. What is o rounded to 6 decimal places?
-0.000008
Let y = -37498 - -37491.0547. What is y rounded to the nearest integer?
-7
Let z(m) = 5*m**3 + m**2 - 4*m + 20. Let h(j) = 2*j - 9. Let r be h(8). Suppose r*n + 30 + 12 = 0. Let p be z(n). What is p rounded to the nearest ten thousand?
0
Let d = 15.42 - 95.32. Let y = d + 78.846. Round y to 1 dp.
-1.1
Let r(s) = 17702*s**2 - 275*s + 1395. Let i be r(5). What is i rounded to the nearest 10000?
440000
Let b = 566 - 552.5. Let m = b - 13.500152. What is m rounded to five dps?
-0.00015
Let q = -458.361788 + -0.108212. Let s = 484 - 23. Let b = q + s. What is b rounded to one decimal place?
2.5
Let v = 0.2 + -0.09. Let f = 814.890112 + -815. Let k = v + f. What is k rounded to five decimal places?
0.00011
Let l = -5353704.73 + 5353704.9122005414. Let a = l + -0.1822. Round a to 7 decimal places.
0.0000005
Let s = 133 - 131.796. Let i = -0.017473 - -101.821473. Let y = i - s. Round y to the nearest 10.
100
Let l = 21.237 - -0.463. Let a = l - 21.70000294. What is a rounded to seven dps?
-0.0000029
Let i = -25015437.504195 - -25015301. Let u = 136.5 + i. What is u rounded to four dps?
-0.0042
Let v = 335.3 - -5.7. Let a = 341.000022 - v. Round a to six decimal places.
0.000022
Let l(c) = 2*c - 11. Let p(u) = -1. Let v(y) = l(y) + 2*p(y). Let i be v(18). What is i rounded to the nearest ten?
20
Let q = 9788 + -9787.999968575. What is q rounded to 5 dps?
0.00003
Let l = 588.705 + 27.575. What is l rounded to 0 decimal places?
616
Let w be ((-4 + 7)/(-1))/(1/(-246)). Let v be ((-1630)/15)/((-4)/w). Suppose 2*o + 3*o = -q - v, 12025 = -3*o - 5*q. Round o to the nearest 1000.
-4000
Let o = 888 + -327. Let z = o + -557.97. What is z rounded to the nearest integer?
3
Suppose 0 = p + 1, 2*b - 5 = -0*b + 5*p. Suppose -6*i + 1375 + 25925 = b. Round i to the nearest 100.
4600
Suppose t = -2*l + 8007308, l = -22*t + 25*t - 24021896. Round t to the nearest 1000000.
8000000
Let h = 0.007904 + 95.914096. Let m = -96 + h. Let o = m + -14.222. Round o to the nearest ten.
-10
Let m be 5902000*(-9)/27*-3. Round m to the nearest one million.
6000000
Suppose 3*y + 2*a - 110925 = 0, 3*a + 36975 = -0*y + y. Suppose -3*i = 2*i + y. Let l be 20*(16/12 + 2)*i. What is l rounded to the nearest 100000?
-500000
Let d = 508 + -503. Suppose -d*t + 1997 = -0*t - o, -5*o + 815 = 2*t. What is t rounded to the nearest one thousand?
0
Let a be 88/12 + (-1)/3. Suppose -a*x = -12*x - 2085. Let g be (5/30*2)/(1/x). What is g rounded to the nearest ten?
-140
Suppose -37*u + 10 = -64. Let w be u + 7*1015714 + 0/(-4). Round w to the nearest 1000000.
7000000
Let q(i) = 2031335*i - 3075. Let z be q(5). Round z to the nearest 1000000.
10000000
Let k = 403.55 + -403.55020093. What is k rounded to 6 dps?
-0.000201
Let d be 4/(-10) + (-7877)/(-5). Suppose -9*z - 150 = -204. Suppose 609 = z*q - d. Round q to the nearest one hundred.
400
Let p(u) = -94*u**3 + u**2 + u + 1. Suppose -x + w - 43 - 61 = 0, -4*x + w = 431. Let m = 108 + x. Let z be p(m). Round z to the nearest ten.
100
Let r = -102413264 + 172441371. Suppose -24*k = r + 37491893. Round k to the nearest one million.
-4000000
Suppose -4*s + 4 = -4. Let m be s + (-1 - -3544) + 2. Suppose -5*u + f + m = 0, -u + 695 = -0*f - 5*f. What is u rounded to the nearest one hundred?
700
Let g(d) = 316179*d**2 + 11*d + 7. Let u be g(-1). Suppose -3*c + 429888 = 3*o, -3*c + 113705 + u = 5*o. What is c rounded to the nearest 10000?
140000
Let y(o) = o**3 + 11*o**2 + 10*o + 6. Let i be y(-10). Suppose i*h - 57 = 123. Let b = h - -110. What is b rounded to the nearest 100?
100
Let r = 2355.35 - 2392.3446. Let s = -0.0739 + -36.9261. Let v = r - s. Round v to three decimal places.
0.005
Suppose -72 = -5*h - 37. Suppose 0 = -h*q + 2*q + 10, -4*q = 5*z - 18. Suppose 0 = 3*a - 4*r + 16820, z*a - 5*r + 2254 + 8971 = 0. Round a to the nearest 1000.
-6000
Let g = 5.31 - 5.2687. Let z = 2.7787 + g. Round z to 1 decimal place.
2.8
Let n(b) be the first derivative of 1/3*b**3 + 1/2*b**2 + 30 + 159*b. Let y be n(0). What is y rounded to the nearest ten?
160
Suppose 2*z = 3*l + 2, -2*z + 2*l = 3*l + 14. Let v be (-65)/13*2/z. Suppose -v*b + 6631 = -1169. Round b to the nearest 100.
3900
Let n = -1.3596 + 48076.3596. Let i = n + -48079.0018.
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - -1) a multiple of 4?
True
Let i(z) be the first derivative of 2*z**3/3 - 3*z**2/2 + 6*z + 3. Let k be i(-6). Suppose -5*m + k = -14. Does 22 divide m?
True
Let f(y) = -y**2 + y + 2. Suppose -20 = -n - 4*l, -2*n + 5*n + 3*l = 15. Let s be f(n). Suppose -192 = -2*w - s*w. Is w a multiple of 24?
True
Suppose 3*q = h + q - 8, -4*h = -5*q - 41. Is 7 a factor of h?
True
Suppose 340 = 11*p - 6*p. Is 17 a factor of p?
True
Suppose j + 3*f = -4, j - 3 = 2*j + 2*f. Let i be (36 - 0)*j - 2. Let u = 78 + i. Is u a multiple of 15?
False
Let z = 11 + -12. Is -1 + 13 + (-3 - z) a multiple of 10?
True
Does 22 divide 1062/8 + 18/(-24)?
True
Let v(h) = h**3 + 4*h**2 + h + 1. Let t be v(-3). Suppose -4*w + t*x + 188 = 4*x, 4*w - 192 = 4*x. Does 22 divide w?
True
Suppose -2*g - 18 = -5*g. Suppose 3*j - 24 - g = 0. Does 5 divide j?
True
Let l be -3 + -1 + 11 + 3. Suppose 4*d = 3*x + 285 + 53, -l = 5*x. Is 31 a factor of d?
False
Suppose -4 = -4*q + 2*n, -7*n = q - 2*n + 10. Let r(d) = 6*d**2 - 1 + q*d**3 - d**3 - 3*d**2. Is r(-2) a multiple of 19?
True
Let v = -9 + 5. Let y = -1 - v. Is 9 a factor of ((-5)/3)/(y/(-45))?
False
Let l be (-1)/1*(-1 + -9). Let y be (l/(-6))/(1/(-3)). Suppose -y*a = -a - 140. Does 12 divide a?
False
Let k(t) = 2*t**2 + 5*t. Let j be k(4). Let d = 79 - j. Does 12 divide d?
False
Let r = -46 + 93. Is r a multiple of 10?
False
Let w(c) = 2*c**3 + c**2 - 2*c + 5. Let x(z) = z**3 + z**2 - z + 5. Let a(y) = -2*w(y) + 3*x(y). Does 5 divide a(0)?
True
Let a = -40 + 57. Is 17 a factor of a?
True
Let m(t) = t. Let p = 0 + -2. Let b be (p/(-4))/((-1)/(-12)). Does 6 divide m(b)?
True
Suppose -5*k = -0*k - 25. Suppose 0*l - 6 = 2*l, 5*w - 60 = -k*l. Is 11 a factor of w?
False
Is 2 a factor of 24/2 - (-4)/4*1?
False
Let l = 17 - 7. Let f = 19 - l. Suppose -h - f = s + 4*h, 2*s - 3*h - 21 = 0. Is s a multiple of 4?
False
Let h(y) be the first derivative of -y**4/4 - 2*y**3/3 - 3*y**2/2 + 2. Does 9 divide h(-3)?
True
Suppose 5*c + 51 = f, 3*f - 129 = -0*c + 3*c. Is f a multiple of 21?
False
Let y be -2 - ((-5 - -2) + 2). Does 8 divide -2 - y - (-185)/5?
False
Let i = -3 + 17. Let g = i - 22. Is (-234)/g + (-6)/(-8) a multiple of 10?
True
Is (4 - 2 - 1) + 35 a multiple of 9?
True
Suppose -3*r - 3 - 12 = 0, 2*f + 1 = -r. Suppose -i - 5 = -f*i. Is 2 a factor of i?
False
Let r = 0 + 7. Let g = 3 - r. Let o = g - -7. Is o a multiple of 2?
False
Let n be (-6)/8 - 668/(-16). Is -1 - (-3 - -2)*n a multiple of 20?
True
Let w(c) = -c**3 + 5*c**2 + 2. Let x be w(5). Suppose x*r + 2*r = 88. Is r a multiple of 11?
True
Suppose 0*o - 5*m + 45 = o, 0 = -3*o - 5*m + 135. Suppose -3*y = 3*u - 0*u + o, 54 = -4*u - 2*y. Let k = 22 + u. Is 5 a factor of k?
True
Let s be 9/(-5) + 2/(-10). Let r = s + 4. Let p = r - -3. Is p a multiple of 5?
True
Let q = 12 - 8. Is 7 a factor of (2/q)/((-3)/(-84))?
True
Let c be (-2)/4 + 15/6. Suppose -2*k - 36 - 76 = -5*x, 0 = -c*x + 4*k + 32. Does 12 divide x?
True
Let i(q) = q**3 + 7*q**2 - 8*q - 9. Let k be i(-7). Suppose 0 = g + 14 - k. Suppose g - 12 = 3*d. Does 3 divide d?
False
Let j(o) = 6*o - 16. Let l(f) = f - 1. Let t(k) = j(k) - 10*l(k). Suppose 4*u + u + 25 = 0. Is 12 a factor of t(u)?
False
Suppose 1 = 4*q + 5. Let h(y) be the third derivative of -5*y**4/12 + y**3/6 + 5*y**2. Does 3 divide h(q)?
False
Let j = 113 + -14. Is j a multiple of 33?
True
Let u(r) = -r**2 - 9*r - 4. Is u(-8) a multiple of 2?
True
Let w be (78/(-7))/((-3)/21). Let u be -2 + -1 + 2 + w. Let m = -55 + u. Is m a multiple of 11?
True
Let n(r) = -6 + 2*r - 3*r + 6*r. Let c be (-2)/5 - (-44)/10. Is n(c) a multiple of 13?
False
Suppose -2*b = -i + 28, 0 = 4*i + 5*b - 124 - 1. Does 10 divide i?
True
Let k = 17 + -11. Suppose -s = k*x - x - 10, 5*s - 5*x - 20 = 0. Does 4 divide s?
False
Is 10/(-2)*(47 + -1)*-1 a multiple of 11?
False
Let k(o) = -3*o - 3. Suppose 7*m - 12*m = 55. Let y = m + 7. Does 3 divide k(y)?
True
Suppose 2*j = -2*j + 8. Let w be (-6)/21 + j/7. Suppose w*n = n - 4. Is 4 a factor of n?
True
Let f be 53/(2/8*1). Suppose f = 4*s - 100. Is 18 a factor of s?
False
Suppose 3*v - 110 = -2*v. Suppose -w = -0*w - v. Is w a multiple of 9?
False
Let o(k) = k**3 - 2*k**3 + k**3 - 5 - k**2 + k**3 - 3*k. Let w be o(5). Suppose -w = -4*f - q, -3*f + 3*q + 60 = -q. Does 8 divide f?
False
Suppose 0 = -0*k + 2*k. Suppose -2*q + k*q + 10 = 0. Is (q*2)/((-8)/(-20)) a multiple of 17?
False
Suppose 0 = 4*j + 5 - 37. Is 23 a factor of (-824)/(-32) + 2/j?
False
Let o(t) = -24*t**3 - 1. Let h = -5 + 4. Is 9 a factor of o(h)?
False
Let i = 1 - 11. Let n = -13 - -29. Let s = n + i. Is 6 a factor of s?
True
Let c = -6 + 11. Is 14 a factor of (8/(-6))/(c/(-210))?
True
Suppose -69 = -5*c + 271. Does 4 divide c?
True
Suppose 0 = -b + 3*b - 52. Suppose -3*p + 5*p - 4*v + 4 = 0, -2*v = 2*p - b. Is 2 a factor of p?
True
Suppose -3*w - 5 = -2*u, -w - 3*w - 8 = -2*u. Is 2 + (-6)/(3/w) a multiple of 8?
True
Suppose m = 4*m - 69. Does 5 divide m?
False
Suppose 0 = 2*h - 2*z - 130, -3*z + 1 + 2 = 0. Does 11 divide h?
True
Suppose 10 = 2*n - 7*n. Does 5 divide n*(9/3 + -17)?
False
Is -3 - (-4 + 0 - 28) a multiple of 29?
True
Let z(y) = -y + 6. Let q be z(6). Suppose q = -2*i + 7*i + 115. Let n = i + 51. Is n a multiple of 11?
False
Let u = 9 - -3. Let o = 23 - u. Suppose 2*j - 31 - o = 0. Does 7 divide j?
True
Let t be 1 - 14/(-1)*11. Suppose 5*r - t = -0*r. Does 13 divide r?
False
Let g(b) be the first derivative of 23/3*b**3 + b + 1/2*b**2 - 2. Is 11 a factor of g(-1)?
False
Suppose 3*s = 2*j - 150, 4*j + s - 61 = 225. Is 24 a factor of j?
True
Let c(q) = 20*q**3 + 3*q**2 + 3*q - 17. Let t(w) = 7*w**3 + w**2 + w - 6. Let z(p) = -6*c(p) + 17*t(p). Suppose 3*v + 9 - 3 = 0. Is 3 a factor of z(v)?
True
Suppose -2*r + 3*r - p - 25 = 0, -2*p = -4*r + 100. Is 17 a factor of r?
False
Suppose -5*q = -2*y + 7*y - 210, 4*y - 162 = -2*q. Is y a multiple of 15?
False
Let v(z) = -3*z + 8 + 1 - 3 + 12*z - z**2. Is v(7) a multiple of 11?
False
Suppose -24 + 2 = -2*q. Does 6 divide q?
False
Let p = -6 + 3. Is 9 a factor of ((-13)/p + -2)*9?
False
Suppose 0 = 3*y - b - 131, 0*y = -3*y + 2*b + 130. Does 31 divide y?
False
Suppose 0 = -4*u + 5*x + 628, -4*u - x = 3*x - 592. Is u a multiple of 19?
True
Let g = 30 - 21. Is 2 a factor of g?
False
Suppose 0 = -13*l + 67 + 24. Is l a multiple of 4?
False
Suppose 0*s + 5*s + 25 = 0, 4*v - 2*s + 250 = 0. Let p = -39 - v. Is 7 a factor of p?
False
Suppose -10*x + 11*x = 15. Is x a multiple of 5?
True
Let o be 3/3 - (3 - 59). Does 4 divide 12/(-30) + o/5?
False
Let p(s) = -24*s - 8. Let c(b) = -16*b - 5. Let a(y) = -7*c(y) + 5*p(y). Is a(-2) a multiple of 10?
False
Suppose -5*h = 2*t - 189, 4*t - 52 = -5*h + 341. Let r = -65 + t. Does 15 divide r?
False
Let o(j) = -4*j - 3. Let p be o(-2). Let h = p - 2. Does 3 divide h?
True
Is 9 a factor of ((-3)/(-5))/(546/90 + -6)?
True
Let u = -56 + 150. Is 25 a factor of u?
False
Suppose -301 = -4*z + 339. Does 41 divide z?
False
Let y(n) be the second derivative of n**5/20 + n**4/4 - 5*n**3/6 + 2*n. Let j be y(-4). Suppose -j = -2*c + 36. Is c a multiple of 20?
True
Is -2 - ((-8)/4 - 45) a multiple of 15?
True
Suppose 4*u + 3*f = 409, 0 = -2*u + 2*f + 28 + 180. Let m be 2 - (-7)/(21/9). Suppose 87 + u = m*h. Does 17 divide h?
False
Suppose -4*l + l = 18. Let d = 0 - l. Does 6 divide d?
True
Let v(h) = -2*h**2 + 2*h + 6. Let w be v(-4). Is (-7)/21 - w/3 a multiple of 4?
False
Suppose 22*o - 18*o - 16 = 0. Does 3 divide o?
False
Let m(s) = s**2 + 7*s - 6. Is m(-10) a multiple of 11?
False
Suppose -4*x + 9 = -7. Suppose -2*a = -x*a + 12. Is 6 a factor of a?
True
Suppose -5*m - 500 = -6*k + 2*k, k - 150 = -5*m. Is k a multiple of 26?
True
Suppose 0 = 2*p - 3*p + 2. Suppose 0 = p*u - 5*u + 102. Let y = u + -24. Does 10 divide y?
True
Suppose 0 = 5*n - 2*n - 243. Is 27 a factor of n?
True
Let b = 47 + -27. Is 15 a factor of b?
False
Let r be 14/(-3)*(-3)/(-2). Let s = 15 + r. Is s/(-12) + (-182)/(-3) a multiple of 20?
True
Let o = -14 - -52. Does 8 divide o?
False
Let s(z) = z**3 + 2*z**2 - 3*z - 2. Let o be s(-3). Let q = o - -5. Does 2 divide q?
False
Is 133 + -26 + (-3 - 1*-1) a multiple of 20?
False
Let r be 1/2 - 1/2. Suppose 3*o + 17 - 2 = r, -2*o = -d + 10. Suppose 4*q - 2*q - 42 = d. Is 7 a factor of q?
|
{
"pile_set_name": "DM Mathematics"
}
|
8*k**4 + 126*k**2
Expand (-d**2 + 2*d - 2*d)*(1603*d - 768*d + 502*d + 5810*d).
-7147*d**3
Expand (55 + 22 - 30)*(3*l - l - 4*l)*(17*l - 15*l + 5*l).
-658*l**2
Expand (-3*b**2 + 3*b - 3*b)*(-1872*b - 2032*b - 2217*b + 1688*b - 1439*b).
17616*b**3
Expand (p + 0*p - 3*p + (-2*p + 3*p + p)*(2 - 4 + 1))*(-3217*p - 1289*p + 670*p).
15344*p**2
Expand (359*x**2 - 5*x**2 + 38*x**2)*(3 - 3 - 2*x)*(-5*x**2 + x**2 + 2*x**2).
1568*x**5
Expand (-17 + 17 - 37*v)*(0 + 2 + 1) + (-4 - 1 + 3)*(0*v + v + v) + (5 - 2*v - 5)*(12 + 5 - 7).
-135*v
Expand (-2*s**3 + 0*s**2 + 0*s**2)*(3 - 3 + s**2) + 0*s**2 + 0*s**2 + s**5 - s**5 + 5*s**5 + 3*s**5 + (-4*s**4 + s**4 + 2*s**4)*(-25*s + 23*s + 13*s).
-5*s**5
Expand (5*l + 3*l - 4*l + (-3*l - l + 2*l)*(1 + 6 - 3) + 3 - 3 - 2*l)*(-l**4 + l**4 - l**4).
6*l**5
Expand ((9 + 1 + 5)*(-2 - 3 + 6) - 3 + 3 + 1)*(-1 - 1 + 3)*(47*u + 143 - 143).
752*u
Expand (-13*z + 74*z - 30*z)*(10*z**4 - 48*z**4 - 18*z**4).
-1736*z**5
Expand ((3 - 1 + 0)*(2 + 2*v - 2) + 0 + 2*v + 0 - 20*v + 7*v + 5*v)*(-49 + 39 + 33) - 5*v + 0*v + 4*v.
-47*v
Expand 2*x**4 - 7049*x**3 + 7479*x**3 + 0*x**4 + (0 - 1 + 2)*(-x**4 - x**4 + 0*x**4) - x + x**4 + x.
x**4 + 430*x**3
Expand (-2 - 1 + 1 - 1 + 1 + 3 + (1 + 4 - 4)*(-1 + 1 + 1) + 5 + 0 - 3 + 1 + 1 - 5)*(-60*k + 115*k - 56*k).
-k
Expand (-2 - u + 2)*(4562*u + 1261*u - 2 - 1450*u).
-4373*u**2 + 2*u
Expand ((-i - 2*i + i)*(-1 - 4 - 3) - i + 1 - 1 - i + 2*i + 0*i)*(309*i - 60*i + 16*i).
4240*i**2
Expand (2*r**3 - 4*r**3 + r**3)*(2*r**2 - r**2 + r**2) + (-3*r**2 + 0*r**2 + r**2)*(157021*r - 157021*r + 690*r**3).
-1382*r**5
Expand (-27 + 27 - 4*f)*(-58 + 58 - 12*f)*(-2*f + 0*f - f).
-144*f**3
Expand -966*i**2 - 1462*i**2 - 566*i**2 + 848*i**2 + (-i**2 + 0*i + 0*i)*(-3 - 2 + 6).
-2147*i**2
Expand (172*b**3 + 158*b**3 - 355*b**3 - 5*b - b**2)*(3 + 3 - 4)*(-3 + 0 - 2).
250*b**3 + 10*b**2 + 50*b
Expand (-k**2 - 6*k**2 + k**2)*(3 - 3 + k)*(1 - 2 + 2) + (0*k + k + 2*k**2 - 3*k)*(-17*k - 5*k - 26*k).
-102*k**3 + 96*k**2
Expand (2*d**2 + 5 - 2 + 0)*(-2*d + 17*d + 10*d + 2*d - d + 0*d + (-3 + 4 + 0)*(2*d - 6*d + 2*d) + 2*d + 3*d - 3*d).
52*d**3 + 78*d
Expand 61922*m - 38587*m - 35649*m + (0 - 3 + 4)*(-m + 3*m - 5*m).
-12317*m
Expand (5*k - k - 5*k)*(-3397 - 11192 - 3077 - 251).
17917*k
Expand (-2*l**3 - 2*l**5 + 2*l**3)*(-4464 - 3685 - 3627 + 5719).
12114*l**5
Expand -3*z**3 - 3*z**4 + 3*z**3 + (0*z**2 + z**2 + 3*z**2)*(-6*z**2 - 4*z**2 + z**2).
-39*z**4
Expand (2*q - 4*q + 2 + 3*q + 2*q**2)*(64*q**2 - 669 + 669).
128*q**4 + 64*q**3 + 128*q**2
Expand (-f + 9*f + 3*f)*(-f**2 + 2*f**2 + 0*f**2)*(-218 - 51*f + 218).
-561*f**4
Expand (2*n - n - 2*n + (-n + 2*n + 2*n)*(0 - 2 + 4))*(6*n**4 + 6*n**4 + n**4).
65*n**5
Expand (d - 3*d**2 - d)*(5227*d + 19014*d**2 - 28051*d**2 - 30471*d**2 - 5227*d - 8688*d**2).
144588*d**4
Expand l**5 - 4*l**5 + 4*l**5 + 5*l**5 - l**5 - 3*l**5 + (l**3 - 2*l**3 + 3*l**3)*(2*l**2 + 3*l - 3*l) - 2388*l + 84*l**5 - 73*l**5 + 2386*l.
17*l**5 - 2*l
Expand -2*u - 13 + 13 + (7 - 4 + 10)*(-6 - 20*u + 12 - 6).
-262*u
Expand (-4*y - y - y)*(-2*y + 6*y - 5*y)*(0*y**2 + y**2 - 5*y**2) + y**4 - y**4 + y**4 + (3*y**2 + 0*y**2 - 5*y**2)*(19426*y - 19426*y - 132*y**2).
241*y**4
Expand (-149*a - 74*a + 34*a - 98*a)*(-2 + 9 - 11).
1148*a
Expand (-15*i**3 - 10*i**3 + 21*i**3)*(-2*i + 3*i - 3*i) + i**4 - 2*i**4 + 2*i**4 - 2*i**4 + 0*i**4 + 3*i**4 + (-3 + 3 + 2)*(-2*i**4 - 14*i**2 + 14*i**2).
6*i**4
Expand 0*a**5 - 2*a**5 + a**5 + (0 + 2 - 4)*(4*a**5 + 0*a**5 - 3*a**5) - a**2 + a**2 + 2*a**5 + 3036*a**4 - 39346*a**5 - 3036*a**4 - 12349*a**5.
-51696*a**5
Expand (3*j - j + 4*j)*(-4 + 3 - 1)*(-3*j**2 + 2*j**2 + 4*j**2) + (2 + 2*j + 3 + 0)*(-2*j**2 - j**2 + 4*j**2).
-34*j**3 + 5*j**2
Expand (-4*i**3 + 5*i**3 + 0*i**3)*(-4*i + 3*i - 2*i) + (213*i**3 - 5*i**4 + 2*i**4 - 255*i**3)*(0 - 2 + 0).
3*i**4 + 84*i**3
Expand (0 + 4 - 3)*(s**5 - 2*s + 2*s) + (6676*s + 7993*s - 13386*s)*(-s**4 + 5*s - 5*s).
-1282*s**5
Expand (v - 1 + 1 + (-1 - v + 1)*(-7 + 3 + 3) + 2*v - 1 + 1)*(2499 - 689*v**4 - 2499).
-2756*v**5
Expand (-q**2 + 2*q**2 + q**2 + (2*q - 14*q - 4*q + 1 - q - 1 + (-1 + 2 + 1)*(-1 - 2*q + 1))*(1 + 0 + 1)*(-q + 4*q + 0*q))*(-3*q - 2 + 2).
372*q**3
Expand (44*m + 167*m - 60*m)*(-2 + 0 + 4)*(-m**4 + 24*m - 24*m).
-302*m**5
Expand (8 + 12*q - 8)*(-3 + 3 - 2*q)*(-9 + 8 + 13).
-288*q**2
Expand (0 + 0 + s)*(4178 - 6588 + 3428)*(-s - 2*s + s).
-2036*s**2
Expand (-6 + 27*f - 32 - 23*f)*(-3*f**2 - 2*f - 2*f + 7*f).
-12*f**3 + 126*f**2 - 114*f
Expand (30 - 2306 + 490)*((-o - 2*o + 2*o)*(o**3 - o**3 + 3*o**3) + o**4 + 2*o**4 - o**4 + (-2*o**3 + 4*o - 4*o)*(-4*o + 4*o - o) - o**4 + 2*o**4 + 0*o**4).
-3572*o**4
Expand ((-4 - 328 + 27)*(-3 + 3 - 2*h) + 5*h + h - 3*h + (3 + 1 - 2)*(h + 0*h - 3*h))*(5*h**3 - 6*h**3 + 0*h**3)*(h - 3*h + 3*h).
-609*h**5
Expand (3 + 1 - 5)*(c - 3*c + 4*c) - 5 + 5 - 2*c + (-36*c - 119*c + 79*c)*(6 + 10 + 3).
-1448*c
Expand (-31 + 14 + 11)*(-96*z**4 + 16223*z**2 - 16223*z**2) + 0*z**4 + 2*z**4 - 3*z**4.
575*z**4
Expand (f**3 + f**3 + 0*f**3)*(-187*f + 32*f - 29*f) + 5*f**4 + 9*f**4 + 9*f**4.
-345*f**4
Expand (x**2 + 2*x**2 - 7*x**2)*(-2*x + 6*x - 2*x) - 14*x**3 - 37 + 2*x**2 - 32 + 49.
-22*x**3 + 2*x**2 - 20
Expand 0*g**4 - 2*g**4 + 49*g**2 - 27*g**2 + (24 - 24 - 12*g)*(3*g**3 - 5*g**3 + g**3)*(-1 - 3 + 2).
-26*g**4 + 22*g**2
Expand (1 + 5 + 3)*(-3*q + q**5 + 3*q) - q**2 + 2*q**5 + q**2 + (2*q**4 + 0 + 0)*(5 + 2*q - 5) - 5*q**2 + 20*q**5 + 4*q**2 + 3*q**5.
38*q**5 - q**2
Expand (-x - 2*x + 0*x)*(-42*x**2 - 7*x**4 + 42*x**2) + (2 - 2 - 4*x**3)*(8 + 9*x**2 - 8).
-15*x**5
Expand (57*k + 1 - 65*k + 1)*(25*k + 0 + 1 + 7*k).
-256*k**2 + 56*k + 2
Expand (-5*m**2 + 445*m**3 - 4048*m**3 - 3*m**2 + 8*m**2)*(-5*m - 5*m + 0*m + (2 - 6 + 5)*(-3 + 3 + 2*m)).
28824*m**4
Expand -3*j**2 + 3*j**2 + 13*j**5 + (-2*j - j + 0*j)*(-j + j + 2*j)*(3*j - 2*j + j)*(-11*j**2 + 4*j**2 + 4*j**2).
49*j**5
Expand ((-1 + 0 + 2)*(-3 + 3 - 2) + (-1 + 3 - 4)*(226 + 11 - 14))*(-1 + 0*b**2 + 3 + 2*b**2).
-896*b**2 - 896
Expand (-84 + 84 - 8*h)*(6 + 52 + 6)*(1 + 0 - 3).
1024*h
Expand -2 + b**4 + b - 10*b**4 - 2*b + (-4*b**2 - 2*b**2 + 0*b**2)*(3*b**2 - 4*b**2 + 4*b**2).
-27*b**4 - b - 2
Expand (-5 - 11 - 2)*(3 - 3 - b)*(-139 - 135 + 260)*(-3 - 3 + 7).
-252*b
Expand (2*q + 2 - 2)*(-10 - 43 + 3)*(0 - 1 - 2)*(0 - 2 - 3)*(0 + 5 - 2).
-4500*q
Expand 0*z**5 + z**5 - 2*z**5 - z**4 + z**4 + 2*z**5 + (3*z**4 + 0*z**4 - 2*z**4)*(-2 + z + 2) + 1023*z**2 - 419*z**5 - 1025*z**2 - 124*z**5.
-541*z**5 - 2*z**2
Expand 15747*w**3 - 15404*w**3 - 2*w + 0*w + (w - 2*w**2 - w)*(w + 2*w - 2*w) + 3*w**3 - 4*w**3 + 2*w**3 - 2*w**2 - 2*w**3 + 2*w**2 - 5*w**3 + 4*w**3 - w**3.
338*w**3 - 2*w
Expand (4*c - 3*c - 4*c + (-1 + 2 - 2)*(-2 + 2 + 4*c))*(62*c + 33*c - 48*c).
-329*c**2
Expand ((5 + 2 - 5)*(o + 0*o - 3*o) + 8739*o - 153*o - 1942*o)*(1 + 0 - 3).
-13280*o
Expand 5*p**3 - 824*p + 824*p - 3*p**3 + 5*p**3 - 3*p**3 + 4*p**3 - 2*p**3 - p**3 + (-3*p**3 + 4*p**3 + p**3)*(-3 - 5 + 6) - 3 + 2*p**3 + 3.
3*p**3
Expand (1 - h**3 - 1)*(-3 + 3 + 2) - 4*h**3 + h**3 + 2*h**3 + (5*h + h - 5*h)*(-3*h**2 + 3*h**2 + 2*h**2) + 507*h**3 + 766*h**3 - 325*h**3.
947*h**3
Expand 5*o - 5*o - 3*o**3 + (-2 + 12 - 4)*(0*o**2 + 2*o**2 + o**2)*(-2*o + 0*o + 4*o).
33*o**3
Expand (-180 - 65 - 163)*(-20 - 3*l + 20).
1224*l
Expand (5 - 7 - 5)*(0*c**2 + c**2 - 2*c**2) + (-9 + 23 - 11)*(-c + 4*c + 3*c)*(0*c + c - 2*c).
-11*c**2
Expand -2*g**4 - 3*g**4 + 3*g**4 + (-4*g**2 + 6*g**2 + 5*g**2)*(0*g**2 + 2*g**2 - 5*g**2) + (6*g + 7*g - 11*g)*(2*g**3 - 6*g**3 + 0*g**3).
-31*g**4
Expand (12 - 4 - 13)*(-2*t**4 + 2*t**4 - t**5)*(51 - 17 - 9).
125*t**5
Expand (-2*x**2 - x + x)*(-4*x + 74 + 3*x - 53143*x**2 + 53135*x**2).
16*x**4 + 2*x**3 - 148*x**2
Expand 2457*q**2 + 831344*q - 831344*q - 3*q**2 - 2*q**2 + 6*q**2 + 0*q + 2*q**2 + 0*q + (3*q + 4*q - 5*q)*(-3*q + q + 4*q).
2464*q**2
Expand (5 - 2 - 2)*(-57*o - 12*o - 4*o)*(-2 - 7 + 19).
-730*o
Expand (0*z**2 - 4*z**2 + 6*z**2)*(-1 + 0 + 0) - 2*z**2 + 2 - 2 + (-2*z**2 + 2*z**2 + 3*z**2)*(-3 + 4 + 4) + 0 + 0 + z**2.
12*z**2
Expand (12*f + 19*f + 5*f)*(1 - 2 + 3 + 6 - 4 - 4 - 2 - 5 + 4 - 5 + 3 + 3 + (-1 + 4 - 1)*(1 - 4 + 2) - 2 - 1 + 4 - 10 - 16 + 19).
-360*f
Expand -i + 0*i + 2*i + 4*i**2 + (-189*i - 238*i + 114*i)*(-1 + 1 + i).
-309*i**2 + i
Expand (-p**2 - p**2 + 3*p**2
|
{
"pile_set_name": "DM Mathematics"
}
|
*c. Let h(i) = -44*i. What is h(q(f))?
704*f
Let n(p) = -9*p**2 + 5. Let q(r) = 14*r**2 - 8. Let o(m) = 8*n(m) + 5*q(m). Let f(y) be the second derivative of -7*y**4/12 - 19*y. Calculate o(f(a)).
-98*a**4
Let z(d) = 25*d. Let o(t) = 4*t**2. Determine z(o(u)).
100*u**2
Let z = -12 - -25. Suppose 3*u = 5*j - 12, -z + 1 = 3*j + 3*u. Let a(x) = j*x**2 + 2*x**2 - x**2. Let w(c) = 2*c. Determine w(a(o)).
2*o**2
Let o(x) = -4*x**2 - 6*x**2 + 4*x**2. Let g(j) = 3*j**2. What is o(g(p))?
-54*p**4
Suppose 3*o - 15 = -3*x, -x + o - 1 = -o. Let j(i) = x*i - 3*i - 2*i**2. Let d(c) = 3*c + 5. Let b(g) = 8*g + 14. Let w(l) = 5*b(l) - 14*d(l). Give j(w(a)).
-8*a**2
Let w(d) = -2*d - 2. Let u(h) = -h**2 - 3*h - 3. Let p(k) = -2*u(k) + 3*w(k). Let v(c) = -4*c**2. What is v(p(m))?
-16*m**4
Let v(g) = -2*g - 5. Let y(k) = k + 3. Let w(b) = -3*v(b) - 5*y(b). Let q(s) = 4*s. Determine q(w(u)).
4*u
Let q(l) = -l**2. Let t(d) = 100*d**2 - 45. Let u(s) = 3*s**3 + 2*s - 1. Let c be u(1). Let k(a) = 9*a**2 - 4. Let p(y) = c*t(y) - 45*k(y). Determine q(p(h)).
-25*h**4
Let s(y) = 5*y**2. Let q(n) = -2*n - 21. Determine s(q(c)).
20*c**2 + 420*c + 2205
Let r(c) = 18*c - 3. Let x(m) = -m - 1. Let k(o) = r(o) + 6*x(o). Let l(d) = -3*d + 2. Let u(z) = 2*k(z) + 9*l(z). Let a(w) = -2*w**2. What is a(u(b))?
-18*b**2
Let r(m) be the first derivative of -m**2/2 + 1. Let w(d) = -7*d + 2*d + 4*d. What is r(w(l))?
l
Let v(i) be the first derivative of 0*i**2 + 0*i + 2 - 2/3*i**3. Let g(k) be the third derivative of k**4/8 - 6*k**2. Determine v(g(q)).
-18*q**2
Let s(y) = -8*y. Let n(w) = 16*w - 26*w + 18*w. What is s(n(m))?
-64*m
Let a(w) = 6*w. Let p(k) = k. Let j(o) = -a(o) + 4*p(o). Let g(c) = 2*c**2. Give j(g(i)).
-4*i**2
Let s(m) = -2*m**2. Let p(g) = -g - 5. Let j(i) = 3*i - 7 + 1 - 4*i. Let x(n) = 5*j(n) - 6*p(n). Give s(x(a)).
-2*a**2
Let g(c) = 2*c**2 + 0*c**2 + c**2 + 3*c**2. Let o(y) = -3*y. Let a(m) = 8*m. Let z(w) = -4*a(w) - 11*o(w). Calculate g(z(b)).
6*b**2
Let q(v) = -97*v**2 + 55*v**2 + 52*v**2. Let u(n) = -4*n. Calculate u(q(d)).
-40*d**2
Let j(d) be the third derivative of -d**7/2520 - d**4/4 - 3*d**2. Let g(r) be the second derivative of j(r). Let o(w) = 2*w**2. What is g(o(i))?
-4*i**4
Let f(s) = -33*s. Let i(a) be the second derivative of a**4/4 - 17*a. Determine i(f(v)).
3267*v**2
Let b(c) = c**2 + c. Let j be b(-3). Let h(f) = -f**3 + 6*f**2 + 5. Let w be h(j). Let s(n) = n + 3*n - w*n. Let y(p) = -p. Give y(s(a)).
a
Let l(x) = x**2. Let m(c) = 69*c + 93. What is m(l(n))?
69*n**2 + 93
Let j(p) be the third derivative of -p**8/20160 - p**5/30 + 2*p**2. Let d(n) be the third derivative of j(n). Let w(b) = -b - 4*b + 4*b. Determine d(w(z)).
-z**2
Let t(c) = 0 + 5 - 3*c**2 - 5. Let h(s) be the third derivative of -s**5/30 + 2*s**2. Give t(h(z)).
-12*z**4
Let n(q) = -q + 2*q - 2*q. Let y(j) = 2*j - 5*j - 3*j. Give y(n(t)).
6*t
Suppose 4*m = -3*r + 2 + 1, -2*m = -5*r - 21. Let a(v) = -3 + m - 4*v**2 + 2*v**2. Let h(n) = 8*n**2. Determine h(a(i)).
32*i**4
Let l(m) be the first derivative of m**2/2 - 2. Let w(k) = -11*k**2. Calculate l(w(o)).
-11*o**2
Let i(s) = -2*s. Let v be (-2)/6 - (-7)/3. Let w = -6 - -11. Let n(y) = 3*y**v - y**2 - w*y**2. What is n(i(b))?
-12*b**2
Let b(l) = 4*l - 2. Let g(n) = n - 1. Let p(r) = -b(r) - 3*g(r). Let s(y) = -11*y + 8. Let z(o) = -8*p(o) + 5*s(o). Let c(f) = 2*f**2. Determine z(c(d)).
2*d**2
Let b = -6 - -8. Let r(a) = 0*a**2 - 2*a**2 + 0*a**b. Let f(p) be the third derivative of -p**5/30 - 42*p**2. Calculate r(f(u)).
-8*u**4
Let k(t) = -t**2. Let a(o) be the second derivative of 5/6*o**3 + 0 - 2*o + 0*o**2. Calculate k(a(j)).
-25*j**2
Let h(m) = 20*m**2 + 14*m. Let y(p) = -7*p**2 - 5*p. Let a(j) = 5*h(j) + 14*y(j). Let u(i) = -4*i. Let d(c) = 9*c. Let l(o) = 3*d(o) + 7*u(o). Give a(l(f)).
2*f**2
Let u(t) be the second derivative of 4*t**4/3 - 3*t. Let c(s) = -s**2. What is c(u(w))?
-256*w**4
Let z be (14/(-6) - -3)*3. Let b(p) = p + 2. Let u(h) = -3*h - 5. Let f(d) = z*u(d) + 5*b(d). Let c(q) = 3*q. Give f(c(o)).
-3*o
Let y(h) = 9*h. Let x(j) = -2 + 1 + 1 - j**2. Give y(x(u)).
-9*u**2
Let m(j) = 2*j**2. Let i = 3 - 1. Let c(r) = 0*r**2 + 3*r**i - 2*r**2 + 2*r**2. Determine m(c(p)).
18*p**4
Let v(g) = -2*g**2. Let p(x) be the third derivative of 49*x**5/60 - 4*x**2 + x. Calculate p(v(c)).
196*c**4
Let s(k) be the first derivative of k**3/3 - 6. Let p(v) = v - 1. Let n(t) = 10*t - 5. Let w(z) = n(z) - 5*p(z). What is w(s(j))?
5*j**2
Let v(q) = -24*q**2. Let h(t) be the first derivative of t**2 - 10. Give v(h(l)).
-96*l**2
Let u(y) = 79*y**2 + 2*y. Let g(q) = -3*q. Calculate g(u(a)).
-237*a**2 - 6*a
Let w(m) = 2*m. Let o(p) = -36*p**2 + 1. Determine w(o(i)).
-72*i**2 + 2
Let b(d) = -14 - d + 14. Let w(u) = 2*u**2 + 4*u**2 - u**2. What is b(w(j))?
-5*j**2
Let x(p) = 6*p. Let l(i) = i**3 + i**2 - 2. Let j be l(0). Let r be (-4)/(0 + j - 0). Let w(y) = -r*y - 6*y + 8*y + 2*y**2. Give w(x(t)).
72*t**2
Let y(j) = j**2. Let o(s) = -2*s - 30*s**2 + 2*s + 53*s**2. Calculate y(o(t)).
529*t**4
Let o(c) = -2*c - c - c. Let x be 6/9 - 20/(-6). Let k(i) = -2*i - x + 4. Give o(k(p)).
8*p
Let g(q) = -3*q. Let w(s) = 68*s. What is g(w(l))?
-204*l
Let v(f) = -f**2. Let x(k) = -21*k**2. Let s(z) = 18*v(z) - x(z). Let j(b) be the third derivative of 7*b**4/24 - 140*b**2. Determine j(s(h)).
21*h**2
Let b(c) be the third derivative of -9*c**2 + 0 + 0*c**3 + 0*c + 1/60*c**5 + 0*c**4. Let a(k) = -2*k**2. Determine a(b(v)).
-2*v**4
Let i(j) = j + 0*j + 0*j. Let x be 1/(-2) + (-18)/(-4). Let n(b) = -x*b**2 + 3*b**2 + 0*b**2. Determine i(n(p)).
-p**2
Let p(w) = 2*w**2. Let m(k) = 3*k**2 - 2*k**2 - 2*k**2 + 4*k**2. Determine p(m(v)).
18*v**4
Let o(z) be the second derivative of z**4/3 + 3*z. Let v(b) = 12*b. Let a = 8 - 10. Let f(i) = -i. Let w(u) = a*v(u) - 22*f(u). Calculate w(o(p)).
-8*p**2
Let t(f) = 4*f. Let w(k) = -20*k**2. What is w(t(a))?
-320*a**2
Let f(x) = -2*x**2. Let v(b) be the second derivative of 5*b**2/2 - 3*b. Let h(g) = -g + 15. Let t(w) = -5*h(w) + 15*v(w). Determine f(t(j)).
-50*j**2
Let u(b) = -15*b**2. Let l(h) be the first derivative of 3*h**2/2 - 15. What is l(u(r))?
-45*r**2
Let t(s) = 2*s**2. Let v(b) = -663*b**2. Determine t(v(k)).
879138*k**4
Let g(i) = 511*i. Let j(k) = -2*k. What is g(j(z))?
-1022*z
Let y(d) = -3*d + 5*d - 3*d. Let a(x) = 17*x. What is a(y(j))?
-17*j
Let g(a) = -a**2. Let n(y) = 12*y**2. What is n(g(b))?
12*b**4
Let v be 0/(0 + (-2 - -3)). Suppose v = 4*o - 5*l - 13, 0 = 3*o + 5*l - 1. Let g(j) = 3*j**o - j**2 - 4*j**2. Let r(x) = x**2. What is r(g(z))?
4*z**4
Let z(l) = -12*l - 3. Let i(t) = t + 6. Let x(p) = -p - 7. Let v(n) = -7*i(n) - 6*x(n). What is z(v(b))?
12*b - 3
Let k(n) = 210*n. Let b(g) = g**2. Calculate b(k(r)).
44100*r**2
Let n(h) be the third derivative of h**6/360 - h**4/12 + h**2. Let y(j) be the second derivative of n(j). Let d(q) = -3*q + 3*q - 3*q. What is y(d(b))?
-6*b
Let w be (1 + 0/1)*2. Let z(d) = -w*d**2 + d**2 + 5*d**2. Let c(t) = -t**2. Give z(c(b)).
4*b**4
Let l(j) = -9*j. Let q(d) = 1164*d**2. Give l(q(s)).
-10476*s**2
Let g(u) = 29*u**2. Let o(l) = -l + 1. Let c(t) = -3*t + 6. Let b(x) = c(x) - 6*o(x). Calculate b(g(d)).
87*d**2
Let i(c) = 73*c + 2. Let p(n) = -5*n. Determine i(p(d)).
-365*d + 2
Let g(f) be the second derivative of f**3/6 - 11*f. Let o(u) = -24*u. Determine g(o(w)).
-24*w
Let a = 5 + -3. Let h(j) = -j + j + j**a. Let u(w) = w - 1. Let q(t) = 2*t - 4. Let m(o) = -q(o) + 4*u(o). What is h(m(x))?
4*x**2
Let d(i) = -8*i**2 + i. Let v(u) = -u. Calculate v(d(y)).
8*y**2 - y
Let a(t) = -29*t + 6. Let n(x) = 6*x**2. What is n(a(l))?
5046*l**2 - 2088*l + 216
Let y(p) = -6*p. Let c(l) be the third derivative of -l**8/20160 - l**5/15 + l**2. Let a(h) be the third derivative of c(h). Calculate y(a(i)).
6*i**2
Let v(b) = 9*b**2 - 19*b**2 + 9*b**2. Let x(t) = 2*t**2 - 2*t. Calculate v(x(s)).
-4*s**4 + 8*s**3 - 4*s**2
Let f(v) = -6*v. Let w(k) = -8*k**2. What is f(w(c))?
48*c**2
Let f(r) = -r. Let i(h) = 2*h**2 - 5*h. Let b(z) = -z**2 + 2*z. Let j(k) = 5*b(k) + 2*i(k). Calculate f(j(v)).
v**2
Let o(f) be the second derivative of -4*f**3 + 3*f + 6. Let m(d) = 2*d. Determine o(m(l)).
-48*l
Let x(u) = -6*u**2. Let j(k) = -754*k**2. What is j(x(t))?
-27144*t**4
Let u(f) = -3*f + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
y + 2*t**2 + 21*t*u*y + u*y + 2*y wrt t.
720*p*t**2*u - 264*p*t*u*y
What is the first derivative of -15*d**3*w + 2*d**3 + 149*w - 491 wrt w?
-15*d**3 + 149
Differentiate -45*j**2*z + 1326*j**2 + j + 23*z with respect to z.
-45*j**2 + 23
Differentiate -l**3*t + 73*l**2*t**3 + 32*t**3 + 2*t wrt l.
-3*l**2*t + 146*l*t**3
What is the second derivative of 787*r**2 + 148*r wrt r?
1574
What is the third derivative of 5*h*i**3 - 29*h*i**2 - 6*h*i - 33*i**3 wrt i?
30*h - 198
Find the second derivative of b*w**4 - 39*b*w**2 - b*w + 2*b + w**4 - 9*w + 28 wrt w.
12*b*w**2 - 78*b + 12*w**2
What is the derivative of -18272*d**3 + 16526?
-54816*d**2
What is the third derivative of 6*j**3*r**3 - 2*j**3 - 140*j**2*r**3 + 172*j**2*r**2 wrt r?
36*j**3 - 840*j**2
What is the derivative of -141*h*t**4 + 4*h*t**2 + 15209*h wrt t?
-564*h*t**3 + 8*h*t
What is the second derivative of 1595*j**5 - j**4 - 2403*j - 4 wrt j?
31900*j**3 - 12*j**2
What is the third derivative of 43*h**6*r - 5*h**5*r**3 - 5865*h**2*r**3 + 2*r**3 wrt h?
5160*h**3*r - 300*h**2*r**3
Find the third derivative of i**3*j**3 + 4*i**3*j**2 + 2*i**3*j - 130*i**2*j**3 + 3*i*j wrt j.
6*i**3 - 780*i**2
What is the third derivative of -5*z**4 - 13*z**3 + 64*z**2 + 2 wrt z?
-120*z - 78
What is the first derivative of 50*r + 159?
50
Find the second derivative of -192*d**2*r + d*r + 3*r + 1 wrt d.
-384*r
Find the second derivative of -14*c*o**4 - 3*c*o**2 + 4*c*o - o**5 - 33 wrt o.
-168*c*o**2 - 6*c - 20*o**3
What is the third derivative of -3*b**2*p**3 - 5*b**2*p**2 + 2*b**2 + 18*b*p**2 + 3*p**6 wrt p?
-18*b**2 + 360*p**3
What is the third derivative of 246*c**2*f**4 + 84*c**2*f**2 + 6*c**2*f + 2*f**5 - f**4 wrt f?
5904*c**2*f + 120*f**2 - 24*f
What is the second derivative of -103*d*f**2 - d*f + 52 wrt f?
-206*d
What is the first derivative of 162*i - 81?
162
What is the second derivative of 47*d**2*v**2 - 2*d**2*w**2 - 8*d*v - 4*v**2 - v*w**2 wrt d?
94*v**2 - 4*w**2
What is the second derivative of 195*a**2*o**2 - 66*a*o**2 - o wrt a?
390*o**2
Find the third derivative of -3*g**3*z**3 - 108*g**3*z - g**2 - 4*g*z**3 - z**2 wrt g.
-18*z**3 - 648*z
What is the third derivative of -l**5 - 155*l**3 - 3*l**2 - 48*l wrt l?
-60*l**2 - 930
What is the second derivative of 320*h**4 - 9*h**2 - 9*h - 859?
3840*h**2 - 18
What is the third derivative of 43*i**4 - 13*i**3 - 1377*i**2 wrt i?
1032*i - 78
What is the derivative of 3391*u - 12729 wrt u?
3391
What is the derivative of 5*t**4 - 184*t**3 + 5672?
20*t**3 - 552*t**2
What is the second derivative of -4*s**4 + 9*s**3 - 363*s?
-48*s**2 + 54*s
Find the third derivative of -b**3*q**2 + 155*b**3*q - 629*b**2*q**2 wrt b.
-6*q**2 + 930*q
Find the second derivative of -2*u**3*z**4 - 355*u**3*z**2 + 6*u**3*z - 3*u*z - 19*u wrt z.
-24*u**3*z**2 - 710*u**3
Find the third derivative of -161*l**5 + 2*l**4*s - l**2*s - 3*l**2 - 140*l*s wrt l.
-9660*l**2 + 48*l*s
What is the first derivative of 53*s**3 + 2*s**2*v - 67*v wrt s?
159*s**2 + 4*s*v
What is the first derivative of -4*l**2*s**2 + 2*l**2*s - 25*l**2 + 265*s**2 wrt l?
-8*l*s**2 + 4*l*s - 50*l
What is the derivative of 5*f**3 + 6*f - 9 wrt f?
15*f**2 + 6
Differentiate -k**4 + 736*k**3 - 660.
-4*k**3 + 2208*k**2
What is the derivative of 169*a**2*m**2 + 2*a**2*m + 2*a**2 - 2*a*m**2 + 1397 wrt m?
338*a**2*m + 2*a**2 - 4*a*m
Find the second derivative of 2*m*v**2 + 2*m*v - 2*v**2 + 37*v wrt v.
4*m - 4
What is the third derivative of -4*s**4 - 22*s**3 - 929*s**2 wrt s?
-96*s - 132
Differentiate -2*m**3*n**3 - 442*m**3 - 142*m*n**3 with respect to n.
-6*m**3*n**2 - 426*m*n**2
What is the derivative of 4*b**2*d**3 + 442*b*d**3 + 2*d**3 + 31*d**2 + 29 wrt b?
8*b*d**3 + 442*d**3
Find the third derivative of -3*m**6*p**3 - 20*m**4*p**3 + 1654*m**2 + m*p**3 wrt m.
-360*m**3*p**3 - 480*m*p**3
What is the third derivative of -386*h*u**5 + 2*h*u**2 + 2*u**5 + 537*u wrt u?
-23160*h*u**2 + 120*u**2
What is the third derivative of -341*j**5 - 262*j**2 wrt j?
-20460*j**2
Find the third derivative of -19*v**4 + 440*v**2 wrt v.
-456*v
Find the second derivative of -2*d**3 + 6213*d**2 - 559*d + 2 wrt d.
-12*d + 12426
Find the second derivative of -252*y**5 + 87*y wrt y.
-5040*y**3
Differentiate n*u**4 - 3*n - 2*u**4 + 77*u + 6 with respect to u.
4*n*u**3 - 8*u**3 + 77
What is the derivative of 2921*x - 5834 wrt x?
2921
What is the second derivative of g**4 + 729*g**3 + 27*g - 14 wrt g?
12*g**2 + 4374*g
Find the third derivative of -14*d**4 - 2*d**3 - 2*d**2 + 183*d.
-336*d - 12
Differentiate 3*n**3 - 2*n**2*w - 17*n*w - 10*w + 13 wrt n.
9*n**2 - 4*n*w - 17*w
Find the second derivative of 2*z**4 + 97*z**2 + 3*z + 5.
24*z**2 + 194
Differentiate 4*d*p**3*q**2 + 4*d*p**3 - 149*d*p**2 - 6*d*p*q - p**3*q**2 with respect to q.
8*d*p**3*q - 6*d*p - 2*p**3*q
What is the first derivative of -4*t*w**2 + t - 22*w**2 - 880 wrt w?
-8*t*w - 44*w
What is the second derivative of -654*o**4 + o - 177 wrt o?
-7848*o**2
Find the first derivative of 447*c**4 - 384 wrt c.
1788*c**3
What is the second derivative of 178*b**3*j**2*u**2 + 116*b**3*j - 21*b**2*j**2*u**2 + 2*b**2*j*u**2 + 2*b*j*u + b*u**2 wrt j?
356*b**3*u**2 - 42*b**2*u**2
What is the second derivative of -8*l**2 - 88*l wrt l?
-16
Find the second derivative of -2*b**4 - 1550*b**3 - 1135*b wrt b.
-24*b**2 - 9300*b
Find the second derivative of t**4*w + 8*t**3*w**3 - 2*t*w**3 - 110*w**2 wrt t.
12*t**2*w + 48*t*w**3
What is the second derivative of 655*i**3*l**2 + i**2*l**2 - i*l**2 + 42*i + l**2 wrt i?
3930*i*l**2 + 2*l**2
Find the third derivative of 226*p**3 - 328*p**2 - 2*p.
1356
What is the third derivative of 348*j**3*t**3 - 139*j**3 - 8*j*t**2 wrt t?
2088*j**3
Differentiate 22926*q + 27413 with respect to q.
22926
What is the third derivative of -4696*n**2*r**3 + 3*n**2 + 2*n*r**4 + 337*n*r**2 wrt r?
-28176*n**2 + 48*n*r
Find the third derivative of -3030*r**6*u - 2*r**5 - r**2*u - 5*r**2 - 475*r*u wrt r.
-363600*r**3*u - 120*r**2
Find the second derivative of 1202*y**5 - 2*y**4 - 2*y + 121.
24040*y**3 - 24*y**2
Find the first derivative of -87*d*i + d*n**2 + 210*d - 2*i*n**2 wrt i.
-87*d - 2*n**2
Differentiate -57*l - 3344 with respect to l.
-57
Find the second derivative of 3999*o**3*u**5 - 85*o**3 + 10*o*u wrt u.
79980*o**3*u**3
Find the second derivative of -1407*c**2*q**2 - 2*c**2*q - 90*c**2 - 4*c*q - 2*q**2 wrt q.
-2814*c**2 - 4
What is the second derivative of -552*z**4 - z - 331 wrt z?
-6624*z**2
Differentiate 2*j**4*o**2 - 26*j**2*o**2 - 171*o**2 with respect to j.
8*j**3*o**2 - 52*j*o**2
What is the derivative of 2858*h*o**4 + 5*h - 188 wrt o?
11432*h*o**3
What is the derivative of 8*d*h*v - 27*d*v**3 - 5*h*v**3 - 12*v**3 wrt h?
8*d*v - 5*v**3
What is the second derivative of -61*m**3 - m**2 + 13*m + 80?
-366*m - 2
What is the third derivative of -33*f**3*j*w**3 - 4*f**3*w**3 + 3*f**3 - f*j*w**2 - 35*j*w wrt w?
-198*f**3*j - 24*f**3
Find the second derivative of -144*a**4 - 3*a + 153.
-1728*a**2
What is the third derivative of -3072*g*q**4*v**3 - 2*g*q**2*v - 2*g*v**3 + 789*g*v**2 wrt q?
-73728*g*q*v**3
What is the derivative of 96*y**2*z - 14*y**2 wrt z?
96*y**2
What is the third derivative of 2*j**2*t**3*w + 2*j**2*t**3 + j**2*t**2 + 11*j**2*t*w + 32*j*t**3*w + 3*j*t**2*w + 2*w wrt t?
12*j**2*w + 12*j**2 + 192*j*w
What is the first derivative of -6*q**4 + 13*q**2 - 9*q + 1302?
-24*q**3 + 26*q - 9
Find the second derivative of -91*t**3 + 23*t - 5 wrt t.
-546*t
Find the second derivative of -3213*i**2 - 3764*i.
-6426
What is the first derivative of 4454*o**2 - 42 wrt o?
8908*o
What is the third derivative of -41*d*l*p**3*x + d*l*p**2 + 9*d*x - 4*l*p**3*x - 13*l*x - 4*p**2*x wrt p?
-246*d*l*x - 24*l*x
Differentiate -424*d*h**2 + 23*h**2 + 2 with respect to d.
-424*h**2
Find the third derivative of 318*l**2*o**5 + 2*l**2*o**2 + 4256*l**2 + 7*l*o**5 wrt o.
19080*l**2*o**2 + 420*l*o**2
Differentiate 6*k**3 + 9*k**2 - k - 10620 with respect to k.
18*k**2 + 18*k - 1
What is the third derivative of -1982*s**3 - 752*s**2 + 2*s wrt s?
-11892
Find the second derivative of -j**4 + 25*j**3 + 9*j**2 + 6147*j wrt j.
-12*j**2 + 150*j + 18
What is the second derivative of -a**2*t**3 - 30*a**2*t**2 + 2*a**2*t - 2*a**2 + a*t wrt t?
-6*a**2*t - 60*a**2
What is the third derivative of 28*b**6 + 13*b
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*v. Let n be p(4). Suppose 15*s - n*s + 140 = 0. List the prime factors of s.
2, 7
Let w(j) be the third derivative of j**5/60 + j**4/24 - j**3 + 9*j**2. List the prime factors of w(6).
2, 3
Let n be 2/(2/3) + 2. Suppose n*k + 18 = 3*i, -5*i + 8 = -2*k - 3*i. What are the prime factors of (-4 + (-3 - -4))*k?
3
Suppose -39*u = -85141 - 76943. What are the prime factors of u?
2, 1039
Suppose -2*s = 5*q + 17, -4*s + 5*q + 10 = -31. Suppose 79 - 275 = -s*l. What are the prime factors of l?
7
Suppose 0 = 5*h - 25, 0*h + 5 = 5*l - h. Suppose p = -4*z + 20 - 2, l*p - 3*z + 8 = 0. Suppose j - 7*x + p*x = -6, 20 = 4*x. List the prime factors of j.
19
Suppose 8 = 5*c - 2. Suppose -24*q = -21*q + 5*g + 16, -16 = -2*q + 2*g. Suppose q*u - 39 = c*u. List the prime factors of u.
3, 13
Let a be 36/21 + (-2)/(-7). Suppose -7 = -u - 3*x, x - 5*x + 22 = -5*u. What are the prime factors of (-52)/8*a*u?
2, 13
Let i = 28 + -52. Let a be 36/21 - 26/(-91). Let l = a - i. What are the prime factors of l?
2, 13
Let s(x) = x**3 - 11*x**2 + 18*x - 3. Let y be s(9). List the prime factors of -1 + -3 - (4 + 129/y).
5, 7
Suppose 7030 = 9*r - 1799. List the prime factors of r.
3, 109
Suppose 3688 = f + 3*a, f + 13*a - 17*a - 3681 = 0. What are the prime factors of f?
5, 11, 67
Let g(z) = 340*z + 12. List the prime factors of g(2).
2, 173
Let t(a) = -a**2 - 21*a + 13. Let b be t(-18). Suppose o - 28 = b. What are the prime factors of o?
5, 19
Suppose 3*l = -3*t + 32 + 37, 19 = t - l. Let s = t + 10. List the prime factors of s.
31
Suppose 183*i - 214*i = -16337. What are the prime factors of i?
17, 31
Suppose 360 = 4*o - l - 904, 2*o - 632 = 4*l. List the prime factors of o.
2, 79
Let p be (4836/18)/(-2 + 14/6). Suppose -5*c = -4*z - p, 3*c + 178 = 4*c - 5*z. What are the prime factors of c?
2, 79
Suppose -22 = -4*s + 18. Suppose -p - s = 5*x - 95, 0 = 4*x + 4*p - 84. Suppose -u + x = 2*u + 2*m, u - 4*m = -18. List the prime factors of u.
2
Let l = 0 - -5. Suppose -l*u = 37 + 53. List the prime factors of (-53)/(-3) + (-6)/u.
2, 3
Suppose -5*r + 401 = d, -236 = -3*r + 2*d + 2*d. Suppose 173 = 5*z + j, -r = -4*z + 4*j + 44. List the prime factors of z.
2, 17
Suppose -879 = -u + 47. List the prime factors of u.
2, 463
Let f = -12 + 24. Suppose 4*i - 20 = -3*d, 4*i = d - 0*i - f. What are the prime factors of d?
2
Suppose -1 + 10 = 3*u. Suppose 4*s - 5*z = -0*s + 3, -u*z - 3 = -3*s. Suppose s*m = 26 + 6. List the prime factors of m.
2
Suppose 0 = -49*x - 10*x + 111392. List the prime factors of x.
2, 59
Suppose -25*y - 1755 = -34*y. List the prime factors of y.
3, 5, 13
Suppose 0 = -5*t + 8 + 2. Suppose -t*l = w + 2*w - 6, -5*w - 3*l = -9. Suppose w = -m + 46 - 4. What are the prime factors of m?
2, 3, 7
Suppose 0 = -5*y + y + 2*h - 122, 101 = -4*y - 5*h. Let m = -29 - y. What are the prime factors of 3 - (6 + m) - -53?
2, 5
Let x = 120 - 146. Let p = x - -152. List the prime factors of p.
2, 3, 7
Let b(x) = 235*x + 32. What are the prime factors of b(4)?
2, 3
Let n(g) = g**2 + 10*g + 1 + 0*g**2 + 3 - 2. Let o be n(-9). List the prime factors of (o - -1)*25/(-10).
3, 5
Let x(w) = -9 + 6 + 15 - 10*w. Let s be x(8). What are the prime factors of (12/4)/(-6)*s?
2, 17
Suppose -3*y + 2788 = 5*o, -2*y + 4651 = 3*y + 4*o. List the prime factors of y.
7, 19
Let w(l) = -l + 13. Let t be w(11). Suppose t*z - 87 = -z. What are the prime factors of z?
29
Let z(d) = d**3 - 31*d**2 - 18*d + 49. List the prime factors of z(32).
7, 71
Let i = 715 + 122. What are the prime factors of i?
3, 31
Suppose 314 = -14*t + 12*t. Let h = t + 222. List the prime factors of h.
5, 13
Suppose -2*g = 39 - 67. Suppose g*j = 208 + 464. What are the prime factors of j?
2, 3
Let m(k) = 11*k**2 + 3*k + 1. Let a be (-311)/(-7) + 6/(-14). Let u be (-4 + a/12)*6. List the prime factors of m(u).
3, 13
Let w(z) be the third derivative of z**4/3 - z**3/6 + 41*z**2. What are the prime factors of w(4)?
31
Let k = -313 + 482. What are the prime factors of k?
13
Suppose 0 = -3*l + 3*r + 357, l - r - r - 119 = 0. List the prime factors of l.
7, 17
Let h = -25 - -25. List the prime factors of (-3 + h/(-1))*-76.
2, 3, 19
Let s(z) = 7*z**3 - 2*z**2 + 3*z - 4. Let o be s(2). Let x = o - -119. Suppose -167 = -4*q + 3*p, -3*p = -5*q + 42 + x. List the prime factors of q.
2, 11
Let k(j) = -7*j**2 + 9 + 1 + 17*j + j**3 - 6*j**2. Let c be (-1)/6 - (-9)/(216/292). List the prime factors of k(c).
2, 5, 7
Suppose 0 = 2*i - 30 - 0. Let z be 3/(-9) + 50/i. Suppose -2*r + 19 = -z*n, -3*n + 76 = 3*r + 2*n. What are the prime factors of r?
17
Let r = 6281 + -3248. List the prime factors of r.
3, 337
Let t = -41 + 41. Suppose 4*d + t*d = 92. What are the prime factors of -2 + d + (-1 - 2)?
2, 3
Let s(i) = -i**2 + 7*i - 5. Let h be s(5). Let v(p) = 0 - 5 + 3*p + p - 1. List the prime factors of v(h).
2, 7
Suppose a - 165 = -4*g, 0*g + 2*g - 318 = -2*a. Suppose 200 = -4*h - 2*q, -3*h + 9 = 2*q + a. Let z = -25 - h. List the prime factors of z.
3
List the prime factors of ((-6596)/102)/(0 - 2/9).
3, 97
Let q(x) = 69*x**2 - 34*x + 7. What are the prime factors of q(-7)?
2, 7, 37
Let z be 6/2 - (5 - 8). What are the prime factors of 94/(9/z + 3 + -4)?
2, 47
List the prime factors of 495 - ((-2 - 0) + -5).
2, 251
Let k(p) = 45*p + 30. Let h be k(-16). List the prime factors of 60/9*h/(-25).
2, 23
Let y = 1967 + -4047. Let z = 3226 + y. What are the prime factors of z/24 - (-1)/4?
2, 3
Suppose -17497 = -11*q + 23302. List the prime factors of q.
3709
Suppose -5*h = -3*h + 2. Suppose -3*n - x + 11 = -3*x, -3*x = 4*n + 8. What are the prime factors of 42*(n + h/7)?
2, 3
Let j(x) = x**2. Let d(k) = -4*k**2 + 4*k - 4. Let t(o) = -d(o) + 2*j(o). Let m be 3/6 + (-1)/(8/(-20)). What are the prime factors of t(m)?
2, 23
Let k = 6 - -13. Let q = -13 + k. List the prime factors of (-7*q)/(2/(-4)).
2, 3, 7
Suppose -c = c - 4. What are the prime factors of -5 + c + -1 - (-7 + -20)?
23
Let d(b) = -11*b - 14. List the prime factors of d(-22).
2, 3, 19
Let k(y) = 171*y + 8. What are the prime factors of k(1)?
179
Suppose 2609 + 3495 = 8*p. What are the prime factors of p?
7, 109
Let b = 60 + -48. Suppose 5*c + 13 = -a, -2*a + 8 = -c + 1. Let y = c + b. What are the prime factors of y?
3
Let c(a) = -a**2 + 9*a + 5. Let y be c(9). Let j(p) = 3*p**2 - 8*p + 3. What are the prime factors of j(y)?
2, 19
Let i = -80 - -84. Suppose -3*q = -7*q + i, 3*c = 2*q + 79. What are the prime factors of c?
3
Let n(r) = -146*r**3 - 3 + 4 + r + 41*r**3. List the prime factors of n(-1).
3, 5, 7
Suppose -2*s - 5*s + 924 = 0. Suppose 0*j + 5*j + 3*v - s = 0, 4*v - 88 = -3*j. What are the prime factors of j?
2, 3
Let k(a) = -3*a - 1 + 4 + 4*a. Let o = 25 + -22. List the prime factors of k(o).
2, 3
Suppose 0 = -5*l - 3*c + 13 - 86, -l + 4*c = 10. Let y(j) = -j**3 - 7*j**2 + 5*j + 8. Let w be y(-7). Let m = l - w. List the prime factors of m.
13
Suppose 0 = 31*j - 21647 - 14995. List the prime factors of j.
2, 3, 197
Let r be (674/(-6) - 0)/((-23)/69). Suppose r = 6*u - 209. List the prime factors of u.
7, 13
Suppose -1447*y = -1453*y + 9018. What are the prime factors of y?
3, 167
Let w(s) be the first derivative of 3*s**2/2 + 7*s - 11. What are the prime factors of w(6)?
5
What are the prime factors of (58626/(-4 - 5))/(-2)?
3257
Let d be 2/8 - (-10)/(-40). Suppose d*t = -3*t + 6. Suppose 4*k - 50 = t. What are the prime factors of k?
13
Let a be 2 - (2 - 1) - 19. Let n = 68 + a. What are the prime factors of n?
2, 5
Suppose 2*y + 3*j + 8 + 1 = 0, 0 = -2*y + 2*j + 16. What are the prime factors of 102 - y*(1 - 0)?
3, 11
Let y be -103 - (8 + -4 - 0). Let a = -76 - y. What are the prime factors of a?
31
Let v(j) = 3*j**2 - 9*j + 136. List the prime factors of v(-25).
2, 13, 43
Let d(v) = -5*v + 1. Let l be d(3). Let h(y) = y + 31. What are the prime factors of h(l)?
17
Suppose -9 = 3*c, -3*y + c + 1026 = -0*y. Suppose -5*j + 3*d - d = -405, 5*d + y = 4*j. What are the prime factors of j?
79
Let s(v) = 2*v**2 - 5*v + 4*v**2 - 7*v + 28 - 5*v**2. What are the prime factors of s(15)?
73
Let g(x) = -x**3 + 4*x**2 + 2*x - 1. Let v(t) = 3*t + 3 + 5*t - 13*t. Let s be v(1). List the prime factors of g(s).
19
Let k(t) = -4*t + 29. List the prime factors of k(-23).
11
Suppose -5*s = -5*b -
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{
"pile_set_name": "DM Mathematics"
}
|
j(u(i)).
-16*i**2
Let f(y) = -4 - 28*y + 7 + 1 - 3. Let v(q) = -2*q**2. Determine v(f(s)).
-1568*s**2 + 112*s - 2
Let w(l) = 12*l - 4. Let n(v) = -v + 1. Let d(k) = -k - 9. Let a be d(-5). Let m(f) = a*n(f) - w(f). Let x(q) = -q**2. Calculate x(m(y)).
-64*y**2
Let u(w) = -2*w**2. Let n(k) be the first derivative of -k**2/2 + 68*k - 359. Give n(u(b)).
2*b**2 + 68
Let j(m) = -17608*m**2. Let n(u) = -2*u**2. What is j(n(h))?
-70432*h**4
Let n(u) = 44*u. Let m(w) = -w. Let q(p) = p. Let a(c) = 3*m(c) - 5*q(c). Give n(a(k)).
-352*k
Let h(j) = j**2. Suppose r + 0*r = -3*a + 9, -2*a = -5*r + 11. Let x(n) = -2*n**2 - 2*n**2 + 2*n**a + 5*n**2. What is h(x(f))?
9*f**4
Let d(x) be the third derivative of x**5/30 + 43*x**2. Let p(v) = 610*v**2. Determine p(d(q)).
2440*q**4
Let h(x) = 2*x**2. Let s be (10/20)/(2/8). Suppose -7*o + 10 = -s*o. Let z(u) = -u + 24*u**2 - 19*u**o + u. Give z(h(v)).
20*v**4
Let x(p) = 9*p**2 - 4*p. Let r(v) = 19*v**2 - 10*v. Let l(c) = -2*r(c) + 5*x(c). Let w(k) = k. Determine l(w(a)).
7*a**2
Let l(t) = -8*t - 1. Let b(x) = -353 + 2*x**2 + 353. Calculate l(b(n)).
-16*n**2 - 1
Let h(z) be the third derivative of 49*z**4/3 + 207*z**2. Let b(v) = v**2. Calculate b(h(m)).
153664*m**2
Let d(h) = 29*h**2 + 3*h + 3. Let w(q) = 5740*q**2 + 595*q + 595. Let o(f) = 1190*d(f) - 6*w(f). Let a(k) = -k. Calculate o(a(l)).
70*l**2
Let y(a) = -11*a**2 + 56*a. Let d(v) be the first derivative of v**2/2 - 454. What is y(d(u))?
-11*u**2 + 56*u
Let o(s) = 5*s**2. Let k(h) = -15*h + 39. What is o(k(j))?
1125*j**2 - 5850*j + 7605
Let z(i) = 19*i**2. Let o(a) = 2*a**2 - 4558. Give o(z(h)).
722*h**4 - 4558
Let a(x) = 4*x**2 - 2*x. Let f(m) = -9*m**2 + 5*m. Let i = 1 - -4. Let l(r) = i*a(r) + 2*f(r). Let d(s) = -6*s - 10709 + 10709. Calculate d(l(n)).
-12*n**2
Let y(r) = -4869*r - r**2 + 9744*r - 4875*r. Let j(f) be the second derivative of 11*f**3/2 - f**2/2 + f. Determine y(j(q)).
-1089*q**2 + 66*q - 1
Let p(m) = m**2. Let y(u) = 70*u**2 - 80*u + 166*u - 8*u**2 - 89*u. Give p(y(r)).
3844*r**4 - 372*r**3 + 9*r**2
Let u(f) be the second derivative of 7*f**4/6 + 38*f. Let v(p) = -7*p**2 + 11*p + 11. Let h(x) = 2*x**2 - 3*x - 3. Let a(l) = -22*h(l) - 6*v(l). Give u(a(r)).
56*r**4
Let u(i) = 2*i**2 - 14*i - 12. Let m(l) = -l + 25. What is u(m(j))?
2*j**2 - 86*j + 888
Let r(p) = -p. Let i(u) = -151*u + 12. Let h(t) = 151*t - 15. Let z(w) = -4*h(w) - 5*i(w). Calculate z(r(b)).
-151*b
Let x(m) = -28*m. Let l(v) be the third derivative of -v**4/12 + 7*v**2 + 2. Give l(x(i)).
56*i
Let p(t) = 2373 - 2373 + 5*t**2. Let x(b) = -8*b**2 - 2. Calculate x(p(v)).
-200*v**4 - 2
Let a(u) = 245*u + 10. Let c(h) = 343*h. Determine c(a(o)).
84035*o + 3430
Let k(y) be the first derivative of 0*y**2 + 0*y + 2/3*y**3 + 7. Let c(r) = -3*r**2. Give k(c(z)).
18*z**4
Let o = -8 + 9. Let u = 4 - o. Let p(l) = u*l + 3*l - 4*l. Let k(a) = -6*a**2. Give k(p(b)).
-24*b**2
Let g(c) = 96*c. Let k(j) be the first derivative of -j**2 - 588. Calculate g(k(o)).
-192*o
Let d(i) = -27*i + 10. Let o(w) = -501*w. Determine d(o(k)).
13527*k + 10
Let a(c) = 2*c. Let t(d) = -d**2 + 4*d - 4*d + 15*d**2. Determine a(t(l)).
28*l**2
Let c(a) = 3*a + 4*a - a - 9*a. Let h(t) = 2*t - 3. Let r(i) be the first derivative of -3*i**2/2 + 4*i - 22. Let f(x) = 4*h(x) + 3*r(x). Give c(f(v)).
3*v
Let c = 33 + -26. Let t(x) = 5*x + c + 9 - 16. Let f(y) = y. What is f(t(l))?
5*l
Let q(k) = 2*k - 1. Let d(o) = 140*o - 80. Let w(c) = 3*d(c) - 240*q(c). Let b(p) = -2*p**2. What is w(b(n))?
120*n**2
Let f(t) = t**2. Let v(o) be the first derivative of o**2/2 + o + 17. Let a(c) = 57*c + 38. Let l(h) = a(h) - 38*v(h). Determine l(f(p)).
19*p**2
Let i(l) = 3*l - 66. Let v(p) = -5 + 10*p + 6 - 1 - 7*p. Determine i(v(c)).
9*c - 66
Let i(o) be the third derivative of -o**5/60 + o**2 + 17*o. Let q(c) = 10*c**2. What is i(q(h))?
-100*h**4
Let d(b) = 15*b**2 + 46*b + 72. Let k(h) = -2*h**2. Calculate d(k(l)).
60*l**4 - 92*l**2 + 72
Let p(v) = 2*v**2. Let q(l) be the first derivative of 27 - 45*l**2 + 37*l**2 + 8. Give q(p(x)).
-32*x**2
Let z(r) = 3*r**2. Let k(d) = 5857*d**2. Give z(k(w)).
102913347*w**4
Let b(z) be the first derivative of 4*z**3/3 + 11. Let x = 12 + -10. Let n(c) = -12*c**2 + 28*c**x - 19*c**2. Give b(n(q)).
36*q**4
Let s(n) = n**2. Suppose 3*o - f - 425 = 0, 0 = -3*o + 6*f - f + 433. Let c(j) = -2*j - o + j + 133. What is c(s(b))?
-b**2 - 8
Let d(h) be the third derivative of 17*h**5/10 - 16*h**2. Let m(p) = 2*p. Determine m(d(g)).
204*g**2
Let p(l) be the first derivative of -2 + 4 + 2 - l**2 + 2. Let z(m) be the third derivative of m**4/6 + 6*m**2. Determine z(p(j)).
-8*j
Let j(o) = 6623*o. Let s(m) = -9*m. Calculate s(j(f)).
-59607*f
Let n(i) = 1193*i + 31. Let b(r) = -r**2. Give n(b(a)).
-1193*a**2 + 31
Let z(j) be the first derivative of 4*j**3/3 + 16. Let i(l) = -15*l. Calculate z(i(d)).
900*d**2
Let y(h) = 6*h + 2*h - 3*h - 23 + 27. Let s(x) = -x - 1. Let q(g) = -4*s(g) - y(g). Let u(f) = 5*f. Give u(q(r)).
-5*r
Let n(u) = 3*u**2. Let r(l) be the first derivative of 16*l**3/3 + l + 180. Give r(n(d)).
144*d**4 + 1
Let o(s) = 9448*s**2. Let d(i) = i**2. Calculate d(o(l)).
89264704*l**4
Let d(z) = 5*z**2. Let v(t) = 19807*t - 19818*t + 1 - 1. Give d(v(q)).
605*q**2
Let a(j) be the second derivative of -j**3/6 + 46*j. Let h(w) = 247*w. Give a(h(c)).
-247*c
Let t(d) = 3 - 3 - 2*d. Let c(y) = -y + 9. Let g be c(7). Let w(i) = -12*i**2 - 2*i**g + 3*i**2 - 2*i**2. Calculate t(w(p)).
26*p**2
Let g(d) = -2*d. Let t(x) = 26*x - 61. Give t(g(u)).
-52*u - 61
Let r(b) = -6*b + 2. Let c(t) = -t - 1. Let v be (-2 + 6)/(-9 + 7). Let a(s) = v*c(s) - r(s). Let q(j) = -2*j. Determine a(q(d)).
-16*d
Let u(k) = 16*k. Let a(i) be the first derivative of -i**6/360 - 16*i**3/3 - 8. Let z(y) be the third derivative of a(y). Calculate z(u(p)).
-256*p**2
Let x(t) be the first derivative of -3*t**4/4 - t - 9. Let n(q) be the first derivative of x(q). Let y(i) = 3*i**2. What is n(y(p))?
-81*p**4
Let g(k) = -2*k + 22. Let y(q) be the second derivative of -5*q**4/12 - 2*q - 65. What is y(g(l))?
-20*l**2 + 440*l - 2420
Let g(w) = 2*w**2 - 11*w + 25. Let m be g(2). Suppose -q - 39 = -4*q. Let h(y) = 21*y - q*y - m*y. Let t(b) = 6*b**2. What is t(h(l))?
54*l**2
Let c(f) = -2*f**2. Let s(k) = k**2 - 6*k - 2. Suppose -6*j + j - i = -44, 4*i - 23 = -3*j. Let d be s(j). Let a(x) = 2*x + 25 - d. Give c(a(m)).
-8*m**2
Let l(y) = -y**2. Let v(o) = 28 - 8 - 15 - 38*o**2 - 5. What is l(v(k))?
-1444*k**4
Let c(i) = -4*i**2. Let u = 14 + -16. Let y(b) be the first derivative of -2*b - 2. Let o(h) = -h - 2. Let n(g) = u*o(g) + 2*y(g). What is n(c(z))?
-8*z**2
Let b(r) = 4*r - 7. Let q(y) = 3*y - 6. Let l(f) = 6*b(f) - 7*q(f). Let n be (-58)/(-18) - 2/9. Let u(m) = m + n*m - m + 2*m. Give u(l(z)).
15*z
Let w(p) = -2*p**2. Let g(d) = -17*d + 7*d + d + 10*d - 2*d. What is w(g(a))?
-2*a**2
Let n(p) = p**2 + 9*p - 9. Let g be n(-10). Let c(s) = -5 - 7*s + 4 + g. Let a(k) = k. Let o(r) = r. Let j(u) = -4*a(u) + 2*o(u). Determine c(j(m)).
14*m
Let a(d) = -2*d. Let s(r) = 19237*r**2. What is a(s(y))?
-38474*y**2
Let t(r) = 2*r - 212. Let u(a) = -738*a. Determine t(u(o)).
-1476*o - 212
Let t(u) = -23*u - 5. Let q(b) = -34*b - 7. Let y(j) = -5*q(j) + 7*t(j). Let s(n) = 21*n. What is s(y(p))?
189*p
Let a(t) = -t + 6*t + 5*t + 0*t. Let r(g) = -g**2 - 1. Let u(i) = 4*i**2 + 2. Let x(b) = 2*r(b) + u(b). Give x(a(p)).
200*p**2
Let j(a) = 664*a. Let c(h) = 766*h**2. Calculate c(j(o)).
337726336*o**2
Let f(m) = -m. Let v(t) be the second derivative of 0*t**2 + 29/2*t**3 - 24*t + 0. What is f(v(h))?
-87*h
Let u(a) = -2*a. Let o(z) = 3369*z. What is o(u(n))?
-6738*n
Let k(n) be the first derivative of -2*n**6/45 + 4*n**3/3 - 41. Let x(q) be the third derivative of k(q). Let j(a) = -2*a**2. Give j(x(v)).
-512*v**4
Let m(n) be the first derivative of -10 - 3*n**2 + 2*n**2 + 0 + 15. Let u(b) = b. Calculate m(u(g)).
-2*g
Suppose 24*b = 26*b + 14. Let o(y) = -27*y - 7. Let u(h) = 18*h + 5. Let i be (-5)/((-15)/6) + -7. Let j(n) = b*u(n) + i*o(n). Let q(s) = -2*s. Give j(q(t)).
-18*t
Let m(h) = 5*h. Let a(x) = -50224*x + 3. Calculate m(a(w)).
-251120*w + 15
Let n(z) be the second derivative of -57*z**3 - z**2 - 16*z + 3. Let j(v) = 2*v**2. Determine j(n(t)).
233928*t*
|
{
"pile_set_name": "DM Mathematics"
}
|
- z. Let i be y(-1). Let c = 45 + i. Suppose c = 4*s + 5. Round s to zero decimal places.
4
Let m = 46.999863 + -47. What is m rounded to 5 dps?
-0.00014
Let j(w) = -w**2 - 16*w - 17. Let k be j(-7). What is k rounded to the nearest ten?
50
Let w = -16.32 + 17. What is w rounded to 1 decimal place?
0.7
Let r(a) = 35*a + 11. Let b be r(7). Suppose k + k = -b. What is k rounded to the nearest 10?
-130
Let o = -376608 - -376607.8600008. Let z = o + 0.14. Round z to 6 decimal places.
0.000001
Let x = 0.1 - 0.11. Let u = x - -0.01000056. Round u to seven dps.
0.0000006
Let g = -230.6 - -31.6. Let t = 197.97 + g. Round t to one decimal place.
-1
Let x = -17.099931 + 17.1. Round x to four dps.
0.0001
Let u = 2837049 - 1779391. Let p = u + -557658. Round p to the nearest 1000000.
1000000
Let i = -103.2 + -0.8. Let v = 104.00118 + i. What is v rounded to four decimal places?
0.0012
Let m = 1.45 + -1.450119. Round m to 5 decimal places.
-0.00012
Let c = -4.51 - -4.510181. Round c to 5 dps.
0.00018
Suppose -5*q - 72051505 - 44874390 = 0. Let z = q - 2314821. Round z to the nearest 1000000.
-26000000
Let v = 2.48 + -5. Let k = v + 3.8. Round k to one decimal place.
1.3
Suppose -4*j = 8 - 0. Let h = 838 - j. What is h rounded to the nearest 100?
800
Let u = 5531.8086 - 5536. Let x = u - -4.2. What is x rounded to 3 decimal places?
0.009
Suppose 0 = -j - 2*s + 214, 342 = -4*j + s + 1171. Suppose -5*y - j = r + 1992, -2*y = 4*r + 880. What is y rounded to the nearest 100?
-400
Let p = 452.945 - 467.9. Let z = p - -15. Let j = -0.022 + z. Round j to 2 decimal places.
0.02
Let j = 32519191.9838264628 + -32519192. Let n = j + 4.0161735472. Let t = n + -4. Round t to seven dps.
0
Let u be 1*-2 + (-8)/(-4). Suppose 2*t - 13 + 1 = u. Suppose 0 = -t*x + 3*x - 3*l + 12599994, 4*x - 3*l = 16800006. What is x rounded to the nearest 1000000?
4000000
Let u(z) = 27*z**2 + 11. Let p be (-31)/4 - (-2)/(-8). Let d be u(p). Suppose -1565 = 3*q - k, -361 - d = 4*q - 4*k. What is q rounded to the nearest 100?
-500
Let o = 17806.82001 - 17807. Let m = o - -0.18. Round m to 4 dps.
0
Let k = 89.6 - 14.6. Let h = k - 81.9. What is h rounded to 0 decimal places?
-7
Let x = 24633021.999889 + -24633034. Let z = -12 - x. Round z to 5 dps.
0.00011
Let m = 0.496 + -0.48963. Round m to 4 dps.
0.0064
Let z = -68575 + 26537. Let d = 41990.027 + z. Let u = d - -48. What is u rounded to 2 decimal places?
0.03
Let y be 91557/5 - 18/(-30). Suppose 8*b = 3*b - r - 30503, 3*b + y = -4*r. What is b rounded to the nearest 1000?
-6000
Let m(c) = 99*c + 2. Let w be m(4). Let r be 2 + w/4*4. Round r to the nearest one hundred.
400
Let k = 13.920000571 + -13.92. What is k rounded to 7 decimal places?
0.0000006
Let a = 1.26 - -0.73. Round a to 1 decimal place.
2
Let s = 36924620 + -36924620.29999963. Let x = s - -0.3. Round x to seven dps.
0.0000004
Suppose -3*z + 16 = 2*a, -4*z + z + 1 = -a. Let j be -1 - z*(-1 + 0). Let b be j + (-1 - 92000/(-2)). What is b rounded to the nearest 10000?
50000
Let v = -0.486 + 0.223. Let j = v - -0.262893. Round j to 5 dps.
-0.00011
Let a = 530099.5999956 + -530101.2. Let s = 5 - 6.6. Let i = a - s. Round i to six decimal places.
-0.000004
Let j = 0.1 + -2.35. Let x = -1.8 - j. Let i = -0.76 + x. What is i rounded to 1 dp?
-0.3
Suppose 5*d - d - 12 = 0. Let f be (20397/9)/(d/90). Suppose -2*y = -2*i + f, 0*y = -2*y + i - 67995. Round y to the nearest ten thousand.
-30000
Let u(k) = 2*k + 0 + 10 + 0*k + 7*k. Let b be u(-9). Round b to the nearest 10.
-70
Let b = -2849 - -2848.909985. Let w = b + 0.09. Round w to six decimal places.
-0.000015
Suppose 3*x + 348 = 7*x - 4*g, 4*x + 3*g - 355 = 0. What is x rounded to the nearest 10?
90
Let f(m) = -m**3 - 5*m**2 + 7*m + 8. Let i be f(-6). Let a be -2 + 1 + -77 - i. Round a to the nearest 100.
-100
Let n(s) = 2*s**3 - 11*s**2 - 5*s - 10. Let z be n(-7). Round z to the nearest 100.
-1200
Let r = -0.24 + 0.239784. Round r to five decimal places.
-0.00022
Let y(h) = -8*h - 1. Let a be y(1). Let j(q) = q + 2. Let v be j(-5). Let t be -2*v/3 - a. Round t to the nearest ten.
10
Let t = -11.77 + 0.27. What is t rounded to the nearest integer?
-12
Suppose -4*o + 20 = 4*q, o + 13 = 2*o - q. Let z = o + -13. Round z to the nearest integer.
-4
Let a = 101.17 + -48.074. Let i = a - 0.096. Let b = 52.941 - i. What is b rounded to 2 decimal places?
-0.06
Let g = -51.952 - 0.048. Let u = 50.85 + g. Let p = u - -1.7. What is p rounded to one dp?
0.6
Let z = 102.63 - -2.37. Let r = z + -104.947. Round r to two dps.
0.05
Let x(m) = m**3 - 2*m**2 + 11*m + 13. Let h be x(12). Suppose -2*c - 2130 = 2*c + 2*f, -3*c + f = h. Round c to the nearest 100.
-500
Let w = 0.057 + -26.557. Let i = 111.5 - w. Let c = 137.19 - i. What is c rounded to 1 dp?
-0.8
Let v = -49 - 27. Let b = v - -74.76. Let m = b - -1.23949. What is m rounded to four decimal places?
-0.0005
Let z = -381 - -381.00281. What is z rounded to four decimal places?
0.0028
Let u = -0.1492 - 800.8508. Let f = u + 833.3. Let w = 31 - f. Round w to the nearest integer.
-1
Let l = 48.2985 - -0.0015. Let a = -48.519 + l. Round a to two dps.
-0.22
Let b = -255 + 254.999897. What is b rounded to five decimal places?
-0.0001
Let n(m) = 2*m**2 - 7*m + 4. Let w be n(4). Let f be (2/4)/((-4)/w). What is f rounded to 0 decimal places?
-1
Let v = -1.9 - -1.894. Round v to 3 dps.
-0.006
Suppose 0 = -5*v - 0*v + 30. Let m be v/9 - 329/3. What is m rounded to the nearest 10?
-110
Let w = -0.17 - -0.16999912. Round w to seven dps.
-0.0000009
Let n = 3295.3753 - 64.9053. Let r = 3215.47056 - n. Let f = r - -15. Round f to 4 decimal places.
0.0006
Let j = -48580 + 49383.72. Let s = j - 708.759. Let d = 95 - s. Round d to two decimal places.
0.04
Let f = -23098201.9999988 + 23098195. Let o = 28 - 21. Let l = f + o. Round l to 6 dps.
0.000001
Let w = 18885.3 - 18879.3000125. Let i = 6 - w. Round i to six dps.
0.000013
Let z be 1 + -2 + -1 + 834. Let b = z + -212. Round b to the nearest 100.
600
Suppose 4*i - 13206 = i. Let v be 5/(-25) + i/10. Round v to the nearest 100.
400
Let g be -9 + -6193 - -2*1. What is g rounded to the nearest one thousand?
-6000
Let o be 380000 + (-1 - (-4 + 3)). Round o to the nearest one hundred thousand.
400000
Let i = -2 + 4. Let b = i - 1.92. Let g = b + -0.0800012. What is g rounded to 6 dps?
-0.000001
Let v(n) = n + 5. Let g be v(4). Suppose 0 = 2*x - r - g, -2*r - 7 = -3*x + 7. What is x rounded to the nearest 10?
0
Let d = 2 - -1. Let m(h) = 10371*h**3 - h**2 - 4*h + 4. Let r be m(d). Round r to the nearest 100000.
300000
Let m = 954262 + -664262. Round m to the nearest one hundred thousand.
300000
Let n = 0.08 + -0.17. Let a = -0.5 - n. Let m = a + 0.4099971. Round m to 6 decimal places.
-0.000003
Let o = -69 - -69.000145. Round o to 5 decimal places.
0.00015
Let b = 729484777 - 729484791.00000014. Let g = b - -14. Round g to seven dps.
-0.0000001
Let c = -0.1 + 0.13. Round c to three dps.
0.03
Let w = 15.3 + 0.7. Let o = w + -15.82. Round o to one decimal place.
0.2
Let x = -37 + 22. Let m = x - -8. Let f = m - -6.99997. Round f to four dps.
0
Let t = -244 - -173. Let w = -52453 + 52523.926. Let c = w + t. Round c to 2 decimal places.
-0.07
Let o = -0.028 + -0.188. Round o to 2 dps.
-0.22
Let c = -1607121.999982 - -1607110. Let j = -22 + 10. Let b = j - c. What is b rounded to 5 decimal places?
-0.00002
Let s = 0.035 + -0.0349934. What is s rounded to 5 dps?
0.00001
Let v = 1308764 + 431236. What is v rounded to the nearest 100000?
1700000
Let u = 7 + -5. Let x be u*(143/(-2) - 3). Let q be 4/12 + x/(-3). What is q rounded to the nearest one hundred?
100
Let g(w) = -w**3 - 5*w**2 - 5*w + 20. Let t be g(10). Round t to the nearest 1000.
-2000
Let b = 0.31 - 0.310063. What is b rounded to five decimal places?
-0.00006
Let n = 53.999918 + -54. What is n rounded to 5 decimal places?
-0.00008
Let a = 2 + -7. Let u = a + 4.99936. What is u rounded to 4 dps?
-0.0006
Let y(l) = -8 - 4 - 4*l + 2*l. Let r be y(-8). Suppose -r*n = n + 105000. Round n to the nearest 10000.
-20000
Let a = -1 - 7. Let w = a + 8.00000018. What is w rounded to seven decimal places?
0.0000002
Let y = -0.08 + 0.079996. Round y to 5 decimal places.
0
Suppose -d + 150712 = -49288. Round d to the neare
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 2 and t?
6
Let z = 20 - 15. Suppose 3*b = z*q - 13, 0*q - 5*b = -5*q + 15. Suppose -q*v + 6*v - 44 = 0. Calculate the least common multiple of v and 2.
22
What is the lowest common multiple of 6 + (5 - (3 - -4)) and 22?
44
What is the lowest common multiple of 6 and -4 - 3 - (-32 + -1)?
78
Suppose 0 = i - 3*i + 2*s + 32, 2*s = 2. Let b = i + -11. Calculate the least common multiple of b and (-1 - -2)*-3*-2.
6
Let m = 196 - 2160/11. What is the common denominator of m and ((-4)/50)/((-4)/(-135))?
110
Calculate the lowest common multiple of 40 and 18/(-81) + 2164/18.
120
Suppose -4 = -2*t - 20. Let n(p) = -p - 1. Suppose -3*y + y = 5*g - 37, -3*g = -2*y - 35. Calculate the lowest common multiple of g and n(t).
63
Let n = -4399087/480 + 27493/3. Let v = 144/23 + -3799/368. What is the common denominator of v and n?
160
Let a = 168 - 88. Suppose 8 = 7*c - 6. What is the least common multiple of c and a?
80
Let z = 596 - 570. What is the smallest common multiple of z and 8?
104
Let d = -267037379/1146 + 233017. What is the common denominator of d and -13/10?
5730
Let p be -4*(-4 - 35/(-28)). Let y be 61/7 + (-4)/(-14). Let b = p - y. Calculate the smallest common multiple of b and 32.
32
What is the common denominator of -107/20 and -4 + 4/((-3712)/(-4232))?
580
Suppose -60*l + 67*l - 154 = 0. Let t(c) be the second derivative of c**3/3 + 2*c**2 + c. Calculate the least common multiple of t(6) and l.
176
Suppose 0*y = -4*k - 3*y - 117, 5*k - y + 132 = 0. Let z = k + 31. Calculate the smallest common multiple of 24 and z.
24
Let g = 2250/7 + -318. Find the common denominator of g and 110/45 - 1*3.
63
Suppose 13*r - 546 = -156. Let u = r + -29. What is the smallest common multiple of u and 5?
5
Suppose -13 = -m - 3. Calculate the lowest common multiple of (85/(-25) + 3)/((-2)/m) and 10.
10
Let r = 2090/9 + -228. Calculate the common denominator of -39 and r.
9
Let k(c) = -6*c - 4. Suppose 0 = q - 16 - 24. Calculate the smallest common multiple of q and k(-2).
40
Let c(y) = 2*y**2 + 1. Let s be c(2). Suppose 0 = -4*d + s + 3. Find the common denominator of -1 and d - ((-130)/12 + -1).
6
Let z be 29/((-3330)/(-88) - 2). Let q = z - 6/83. Let i = -407/475 + q. What is the common denominator of 20/9 and i?
225
Suppose 14*i - 1204 = -308. What is the least common multiple of 36 and i?
576
Suppose 0 = i - 0 + 2. Let o be i + 2/((-8)/(-12)). Find the common denominator of ((-99)/(-15) - -4)/o and -36.
5
Suppose 0 = r + 5*t - 14, 4*t + 2 = 2*r + t. Suppose -2*p = 3*d + 249, 2*p = -2*p + 4*d - 508. Let z = -106 - p. What is the least common multiple of z and r?
20
Suppose -5*m + v + 406 + 609 = 0, 4*v = -20. Let o be m*13606/651840 - 2. Let u = -3/10864 - o. Calculate the common denominator of 123/10 and u.
60
Let x be (261230/240)/(1/4). Let v = x + -4330. Calculate the common denominator of v and 35/6.
6
Calculate the common denominator of (-353)/78 + 31/62 + 3 and 67/26.
78
Let a(d) = d**3 - 13*d**2 + 11*d + 6. Let h be a(12). Let c(r) = -6*r - 33. Calculate the lowest common multiple of c(h) and 4.
12
Let p(o) = 19*o + 1. Let n(x) = -x - 15. Let t be n(-22). Suppose 0 = 6*j - t*j + 26. Calculate the smallest common multiple of p(1) and j.
260
Let d = -66 + 101. Let x = 24 - d. Calculate the least common multiple of 4 and 3/(1 - (-8)/x).
44
Let n = -10058055 - -301683307/30. Let a = n + 5813/3. What is the common denominator of a and -11/16?
80
Let r(x) = 66*x**2 + 19*x + 8. Let w be r(7). Let i = 161/985 + -13383839/3940. Let h = w + i. What is the common denominator of -47/4 and h?
4
Suppose 0 = 4*f + b - 17, f + 0*b - 5*b = 20. Calculate the common denominator of 1 - ((-770)/24)/f and (-8)/(-6) - ((-380)/192 + 8).
48
Let f = -134223/22 + 6099. What is the common denominator of 63/44 and f?
44
Suppose 5*s + 0 = -f - 12, -2 = 3*s - 2*f. What is the smallest common multiple of 2 and s - (-5 + 0 + 0)?
6
Let f = -390 + 399. Calculate the least common multiple of 192 and f.
576
Let r = 17558/9 + -1958. Calculate the common denominator of r and -29/36.
36
Let h = 15 - 20. Let v be h + 1 + 5 + -20. Calculate the common denominator of (45/(-6))/(12/v) and -103/22.
88
Find the common denominator of -67/42 and -2*1 + ((-2515)/(-270) - 10).
378
Let x = -5 + 17. What is the common denominator of 3 + x/(-64)*39 and -19/6?
48
Let z(j) = j**3 + j + 3*j**2 + j**3 - j**3 + 2. Let k be z(-2). Suppose -k*y + 33 + 39 = 0. Calculate the smallest common multiple of y and 2.
18
Let m(c) be the third derivative of -c**4/6 - 3*c**3/2 - 4*c**2. Let o be m(-6). Find the common denominator of 97/18 and 206/24 - 5/o.
36
Let o(m) = m**2 + 9*m + 8. Let w be o(-9). Let y = w + -16. Find the common denominator of 79/10 and (-1)/14 + y/(-28).
70
Let f = -11 + 23. Calculate the least common multiple of (45/(-6) + 3)*f/(-2) and 27.
27
Let k(b) = 3*b**2 - 2*b - 70. Calculate the least common multiple of k(-7) and 9.
819
Let m be 3 + (-5 - -1) + 1. Let k be (m - -3) + 4/2. Suppose -k*x = -68 - 32. Calculate the lowest common multiple of x and 14.
140
Suppose -16 + 409 = 43*z - 37. Let b(y) = y**2 + 4*y - 3. Let d be b(-5). What is the lowest common multiple of z and ((-18)/7)/(d/(-14))?
90
Let n = 2251 + -3391. Let g be 6/(-10) - 648/n. Let l = 481/190 + g. What is the common denominator of -89/4 and l?
4
Let l = -26015/6 + 4334. Let t = 23791/2346 + 10/391. Find the common denominator of l and t.
6
Let z be ((-636)/420)/(9/(-44)). Let c = z + 16/105. Find the common denominator of 46/3 and c.
9
Let d = 4146 + -37361/9. Calculate the common denominator of d and 167/30.
90
Let v = 630/13 - 3157/52. Let q = -4837 + 145157/30. Calculate the common denominator of q and v.
60
Suppose -280 = -7*m + 2*m. Suppose -4*f = 2*h - 36, 0*h = -5*f + 3*h + m. Calculate the least common multiple of 9 and f.
90
Let s be (-115)/(-14)*(-66)/55. Let c = 423/77 + s. Calculate the common denominator of 46/5 + (-2)/(-2) and c.
55
Let i = 34 + -44. Find the common denominator of -45/32 and ((-10)/120)/(i/(-342)).
160
Suppose v - 6*v = -5. What is the common denominator of 59/(-15)*6/(-8) and (-13)/(-6) + 2 + v?
60
Let s = 156 - 1094/7. Let w = -1216993/78 + 15602. Find the common denominator of w and s.
546
Let k(s) = 7*s + 1. Let l be k(-4). Let q = l + -3/2. Let w = -29 - q. Calculate the common denominator of 31/12 and w.
12
Suppose -4*d = -5*v - d + 48, -3*v = -2*d - 28. Calculate the lowest common multiple of 12 and v.
12
Let z be (6/5)/((-3)/(-430)). Suppose 4*g - 3*g = -4*i + 212, 3*i - z = -4*g. Calculate the least common multiple of 2 and i.
52
Suppose 2*t = -5*f + 5302, 5*t = 4*f + 2579 + 10643. Let c be (t/(-24040))/((-12)/1022). Let m = -3/3005 - c. What is the common denominator of m and 53/6?
24
Let q(y) = y - 23. Let t be q(8). Calculate the smallest common multiple of 200/t*3/(-2) and 10.
20
Suppose -x + 1 = 4*x - 3*p, -9 = -3*p. Suppose a - 16 = -0*j + x*j, j = a - 12. What is the smallest common multiple of ((-3)/4)/((-2)/a) and 6?
6
Let k be (2/(-3))/(30/(-315)). Let x = k + 7. Calculate the lowest common multiple of 74/x + 14/(-49) and 8.
40
Suppose 3*s + 6*w - 1246 = 2*w, -s - 3*w = -422. Calculate the smallest common multiple of s and 2.
410
Calculate the common denominator of 127/30 and ((-29)/(-87))/(5/(-21)).
30
Let a = 3574 + -1036457/290. Let v = a + -2181/580. Find the common denominator of 1/72 and v.
72
Let y = 550874839/16 + -34416735. Let z = y + -12937. Find the common denominator of -97/8 and z.
16
Suppose 7 = 4*u - 21. Suppose 6*v - 113 - u = 0. What is the lowest common multiple of 8 and v?
40
Let j = -250 + 378. What is the least common multiple of j and 176?
1408
Suppose 48*j + 528 = 56*j. What is the smallest common multiple of 33 and j?
66
Let k = 83 - 95. Let p = -48/47 + 2401/188. Find the common denominator of (-6 - 68/(-12)) + (-106)/k and p.
4
Suppose -186*n = -187*n + 66. What is the least common multiple of n and 36?
396
Suppose n = d - 5 + 17, -4*d = -5*n + 64. Let b(o) = -o**3 - 8*o**2 - 9*o. What is the lowest common multiple of n and b(-7)?
112
Suppose 3*p - 15 = -5*d + 24, -5*d + 36 = 2*p. Find the common denominator of (-43)/18 + d/6 and -75/2.
18
Suppose -25*v = 51*v - 1064. Calculate the smallest common multiple of v and 58.
406
Let m be (1/(-2))/((-62)
|
{
"pile_set_name": "DM Mathematics"
}
|
are the prime factors of 6544415?
5, 1308883
What are the prime factors of 1478170?
2, 5, 53, 2789
What are the prime factors of 3734502?
2, 3, 83, 7499
What are the prime factors of 293018?
2, 11, 19, 701
List the prime factors of 17640947.
41, 430267
What are the prime factors of 1212341?
13, 93257
List the prime factors of 1386769.
293, 4733
List the prime factors of 150789.
3, 50263
List the prime factors of 205022.
2, 23, 4457
List the prime factors of 989817.
3, 43, 7673
List the prime factors of 3552846.
2, 3, 11, 53831
What are the prime factors of 4910785?
5, 11, 8117
What are the prime factors of 2069258?
2, 73, 14173
What are the prime factors of 190699?
190699
List the prime factors of 47980.
2, 5, 2399
List the prime factors of 209645.
5, 23, 1823
What are the prime factors of 353899?
7, 13, 3889
List the prime factors of 2659415.
5, 11, 48353
List the prime factors of 938968.
2, 117371
List the prime factors of 6002659.
13, 389, 1187
List the prime factors of 6055183.
727, 8329
List the prime factors of 10751886.
2, 3, 199109
List the prime factors of 11468054.
2, 13, 441079
List the prime factors of 3120259.
181, 17239
List the prime factors of 7470553.
19, 393187
List the prime factors of 1120104.
2, 3, 47, 331
What are the prime factors of 23313?
3, 19, 409
What are the prime factors of 196494?
2, 3, 32749
List the prime factors of 31170558.
2, 3, 1051, 4943
List the prime factors of 20050727.
20050727
What are the prime factors of 18113455?
5, 31, 137, 853
List the prime factors of 247351.
13, 53, 359
What are the prime factors of 67261?
67261
List the prime factors of 1061869.
1061869
List the prime factors of 139008.
2, 3, 181
What are the prime factors of 240207?
3, 11, 29, 251
List the prime factors of 7797081.
3, 61, 137, 311
List the prime factors of 302410.
2, 5, 30241
What are the prime factors of 149123?
13, 11471
List the prime factors of 114474.
2, 3, 19079
List the prime factors of 31148.
2, 13, 599
List the prime factors of 1871913.
3, 67, 139
What are the prime factors of 580294?
2, 11, 13, 2029
List the prime factors of 3460527.
3, 7, 19, 59
List the prime factors of 3894164.
2, 19, 51239
What are the prime factors of 24123?
3, 11, 17, 43
What are the prime factors of 204020?
2, 5, 101
What are the prime factors of 672814?
2, 67, 5021
List the prime factors of 76612.
2, 107, 179
What are the prime factors of 198033?
3, 11, 17, 353
What are the prime factors of 78098?
2, 17, 2297
List the prime factors of 363413.
19, 31, 617
List the prime factors of 95018.
2, 7, 11, 617
List the prime factors of 828486.
2, 3, 46027
List the prime factors of 2223249.
3, 7, 23, 4603
What are the prime factors of 2813043?
3, 937681
What are the prime factors of 1000872?
2, 3, 13901
List the prime factors of 170349.
3, 56783
List the prime factors of 28447200.
2, 3, 5, 439
What are the prime factors of 292096?
2, 7, 163
List the prime factors of 30195152.
2, 13, 179, 811
List the prime factors of 154025.
5, 61, 101
List the prime factors of 583566.
2, 3, 19, 5119
List the prime factors of 110897.
43, 2579
List the prime factors of 214000.
2, 5, 107
List the prime factors of 121573.
61, 1993
List the prime factors of 17614842.
2, 3, 7, 419401
List the prime factors of 12495684.
2, 3, 1041307
List the prime factors of 8064531.
3, 19, 47161
List the prime factors of 34214695.
5, 1949, 3511
What are the prime factors of 63144?
2, 3, 877
What are the prime factors of 35673825?
3, 5, 11, 3931
List the prime factors of 1085060.
2, 5, 227, 239
List the prime factors of 3142765.
5, 421, 1493
List the prime factors of 10065130.
2, 5, 1006513
List the prime factors of 3563602.
2, 7, 19, 13397
List the prime factors of 492713.
13, 151, 251
What are the prime factors of 3596609?
29, 124021
What are the prime factors of 31407762?
2, 3, 5234627
List the prime factors of 187792.
2, 11, 97
List the prime factors of 389195.
5, 77839
List the prime factors of 581118.
2, 3, 23, 4211
What are the prime factors of 368065?
5, 73613
What are the prime factors of 461818?
2, 7, 32987
List the prime factors of 356000.
2, 5, 89
What are the prime factors of 1557509?
1557509
What are the prime factors of 16027?
11, 31, 47
List the prime factors of 597460.
2, 5, 29873
List the prime factors of 22251710.
2, 5, 13, 171167
What are the prime factors of 11035489?
11035489
List the prime factors of 530980.
2, 5, 139, 191
What are the prime factors of 4520112?
2, 3, 94169
List the prime factors of 152343.
3, 16927
List the prime factors of 2611077.
3, 7, 124337
What are the prime factors of 635832?
2, 3, 8831
What are the prime factors of 59708?
2, 11, 23, 59
List the prime factors of 375495.
3, 5, 25033
List the prime factors of 801306.
2, 3, 11, 19, 71
List the prime factors of 3518804.
2, 879701
List the prime factors of 216851.
216851
What are the prime factors of 12146060?
2, 5, 607303
What are the prime factors of 168955?
5, 33791
What are the prime factors of 4331960?
2, 5, 37, 2927
What are the prime factors of 11539462?
2, 11, 524521
What are the prime factors of 2650081?
7, 378583
List the prime factors of 262705.
5, 52541
List the prime factors of 1082773.
29, 37337
List the prime factors of 501709.
13, 38593
What are the prime factors of 3510407?
127, 131, 211
What are the prime factors of 479176?
2, 89, 673
What are the prime factors of 462042?
2, 3, 7, 19, 193
What are the prime factors of 323524?
2, 29, 2789
List the prime factors of 1226169.
3, 7, 19463
What are the prime factors of 135509?
11, 97, 127
What are the prime factors of 437971?
17, 25763
List the prime factors of 1100811.
3, 29, 12653
What are the prime factors of 64710?
2, 3, 5, 719
What are the prime factors of 17878?
2, 7, 1277
What are the prime factors of 766692?
2, 3, 31, 229
List the prime factors of 392472.
2, 3, 23, 79
List the prime factors of 8879400.
2, 3, 5, 4933
List the prime factors of 431945.
5, 86389
What are the prime factors of 3373528?
2, 421691
What are the prime factors of 3514154?
2, 7, 103, 2437
What are the prime factors of 2191486?
2, 11, 23, 61, 71
What are the prime factors of 28324530?
2, 3, 5, 13, 43, 563
List the prime factors of 286299.
3, 13, 2447
What are the prime factors of 4878467?
11, 29, 41, 373
List the prime factors of 2342888.
2, 61, 4801
What are the prime factors of 137126?
2, 11, 23, 271
List the prime factors of 271117.
7, 11, 503
List the prime factors of 591155.
5, 137, 863
What are the prime factors of 90509?
29, 3121
List the prime factors of 21479636.
2, 17, 1093
List the prime factors of 448318.
2, 13, 43, 401
What are the prime factors of 2377940?
2, 5, 118897
What are the prime factors of 139546?
2, 11, 6343
What are the prime factors of 183204?
2, 3, 7, 727
What are the prime factors of 85800?
2, 3, 5, 11, 13
List the prime factors of 1232952.
2, 3, 7, 41, 179
What are the prime factors of 11708190?
2, 3, 5, 13, 10007
List the prime factors of 36766194.
2, 3, 1373, 4463
What are the prime factors of 5678959?
11, 13, 151, 263
What are the prime factors of 2745046?
2, 181, 7583
What are the prime factors of 9281175?
3, 5, 67, 1847
What are the prime factors of 455088?
2, 3, 19, 499
List the prime factors of 10356501.
3, 19, 181693
List the prime factors of 427463.
43, 9941
What are the prime factors of 8219751?
3, 43, 63719
List the prime factors of 15462.
2, 3, 859
What are the prime factors of 182735?
5, 7, 23, 227
List the prime factors of 96890.
2, 5, 9689
What are the prime factors of 13648942?
2, 59, 103, 1123
What are the prime factors of 23677692?
2, 3, 43, 45887
What are the prime factors of 3148109?
3148109
List the prime factors of 1773239.
13, 136403
List the prime factors of 10504914.
2, 3, 7, 35731
List the prime factors of 2083298.
2, 7, 67, 2221
What are the prime factors of 2396148?
2, 3, 199679
List the prime factors of 321896.
2, 40237
List the prime factors of 759094.
2, 7, 59, 919
List the prime factors of 37791469.
37791469
List the prime factors of 26489.
26489
List the prime factors of 25237737.
3, 7, 37, 401
List the prime factors of 18928151.
11, 14221
List the prime factors of 20370841.
20370841
What are the prime factors of 28235821?
29, 43, 22643
List the prime factors of 259688.
2, 11, 13, 227
What are
|
{
"pile_set_name": "DM Mathematics"
}
|
lse
Let t = 6 + -8. Let b be -4*(t - 3/(-4)). Suppose 2*p - 3*k - 43 = 0, b*p + 4*k = 98 + 21. Is p a composite number?
False
Let s = 345 + 126. Is s a prime number?
False
Let x = -55 - -144. Let a = x - -79. Suppose -5*d + 160 = 2*f, 0*f = 2*f + d - a. Is f composite?
True
Let n be (-3)/(-6) - 7/(-2). Let o(t) = t**3 + 7*t**2 + 5*t - 5. Let a be o(-6). Suppose -f = a - n. Is f prime?
True
Let d be (-8)/(-3)*(-2 + 125). Let j = -143 + d. Is j a prime number?
False
Let n be 6/21 - 108/(-14). Suppose 3*o - n = 4. Suppose -o*f = -9*f + 395. Is f composite?
False
Let z = -121 - -67. Let q(p) = 10*p**3 - 3*p**2 - 3*p - 3. Let d be q(-2). Let i = z - d. Is i a prime number?
False
Let o(l) be the third derivative of l**6/120 - l**5/12 - l**4/6 + 3*l**3/2 - 5*l**2. Is o(6) a prime number?
False
Let z = -20 + 23. Suppose -175 = -3*h + 2*u, -h + u + z = -57. Is h composite?
True
Let f = 4 + -2. Let h(o) = 53*o**2 + 4*o - 3. Is h(f) prime?
False
Let m = -6 - -13. Let n(x) = 4*x - 7. Is n(m) prime?
False
Suppose 2*o + 4*n - 3 + 15 = 0, 5*n + 12 = -2*o. Let f = 201 - o. Suppose -r + f = 2*r. Is r composite?
True
Let v(f) = -58*f + 3. Let o(z) = -117*z + 7. Let c(a) = 2*o(a) - 5*v(a). Let d(j) = -6*j - 38. Let p be d(-7). Is c(p) a prime number?
True
Suppose 54*h = 51*h + 1065. Is h composite?
True
Let h = -1027 + 1790. Is h a composite number?
True
Suppose 3*q = 3, -q + 101 - 25 = 3*o. Let f be 10/o + 2/(-5). Suppose -46 = -b - f*c + 4*c, 138 = 3*b + 4*c. Is b a composite number?
True
Let g = 685 - 323. Is g a prime number?
False
Let q = -1305 + 1946. Is q composite?
False
Suppose 0*g = 5*g - 10. Suppose -g*z - 5*k + 19 = 3, k = 4*z - 54. Let p = -6 + z. Is p a prime number?
True
Let r be 4/(-6) + 22/6. Suppose 4*t = -2*c - 12, 2*c = -r*c - t + 15. Suppose 7*x - 165 = c*x. Is x prime?
False
Let i(g) = 6*g. Let r be i(-1). Let v(z) = 3*z**2 + 8*z + 9. Let p be v(r). Suppose x - p = -2*x. Is x a composite number?
False
Let i(a) be the third derivative of 0*a**3 + 0 + 2*a**2 - 1/6*a**4 + 0*a + 1/20*a**5. Is i(5) composite?
True
Let t(o) = o**3 + 4*o**2 - o**3 + o + o - 6 - o**3. Let h be t(4). Let i = 6 - h. Is i prime?
False
Suppose 0 = -5*u + 15, 2*g + u = -2*u + 2239. Is g a composite number?
True
Let p be (-9)/2 + 9/6. Is (435/3 - 1) + p a composite number?
True
Suppose -9741 = -4*r + 24223. Is r prime?
False
Suppose -c + 4*l + 24 = 0, -2*c + 3*l = -15 - 43. Suppose 2*b - c - 194 = 0. Is b a composite number?
False
Let z(x) = -x**2 + 3*x - 2. Let j be z(2). Let n be j/(-2 - (1 + -2)). Suppose 2*b - 468 + 62 = n. Is b a prime number?
False
Let g(o) = 6*o + 2 - 5 - 9*o**2 + 3*o**2 - o**3 + 10. Let y be g(-7). Suppose 3*c + y = 47. Is c a prime number?
True
Let z(k) = -3*k**3 + 6*k**2 - k + 8. Let d be z(-6). Suppose r - l - 292 = 0, -l - d = r - 4*r. Is r a prime number?
True
Suppose 4*m - m - 24 = 0. Suppose 3*g - 54 = -0*g. Let c = g - m. Is c a prime number?
False
Suppose -5*f + 9147 + 2023 = 0. Suppose 3*a = a + f. Is a prime?
True
Let s = -237 - -1. Let p = 331 + s. Is p composite?
True
Let t = -133 - -216. Is t composite?
False
Let v(i) = i + 20. Let n be 2/9 + (-119)/9. Is v(n) a prime number?
True
Let v = -266 - 231. Suppose 5*a - 4*d + 697 + 473 = 0, a + 243 = -d. Let l = a - v. Is l composite?
True
Suppose 0*q + 2*q = 4. Suppose q*i - 6*i = -16. Is (-42)/(-4)*(i + -2) prime?
False
Suppose 3*g - 2 = 4*o - 0*o, 0 = -5*g + 2*o + 8. Suppose -y - 2*z = 6, -2*y = g*y + 2*z - 6. Suppose 7 = y*u - 141. Is u prime?
True
Let y(u) = -u**2 - 7*u - 8. Let j be y(-7). Let i(o) = -3*o**2 - 3*o - 7. Let t be i(j). Let l = t + 320. Is l prime?
False
Let s(m) = 177*m**2 - m + 1. Let k be s(1). Suppose n + 90 = -34. Let o = k + n. Is o a composite number?
False
Let h(p) = p**2 + 993. Is h(0) composite?
True
Suppose 3*g = 4*g. Suppose g = -4*v - 14 - 6. Is (-3)/v - 448/(-20) composite?
False
Is 9*(-1)/(-3) - -92 composite?
True
Is 543 + (-4)/(4/(-12)*-6) composite?
False
Let p = -654 - -1143. Is p prime?
False
Suppose -n + 4*n = 45. Let p(o) = 2*o - 3. Let h be p(2). Is n - 0 - (h - -1) a prime number?
True
Suppose -5*y + 18 = -o + 2*o, 3*o - 3*y = 0. Suppose -o*k + 427 = -32. Suppose -w + k - 7 = 4*x, -5*x = 2*w - 181. Is x a composite number?
False
Suppose -3*g + 15 = -3. Is 3/g + (-177)/(-2) composite?
False
Let x be 1/3 + (-261)/(-27). Is ((-130)/4)/((-5)/x) a composite number?
True
Let a be (-2)/(2/9*-3). Let w(n) = 25*n + 3 + 0 - 1. Is w(a) prime?
False
Let r(c) = -9*c - 10. Let o = 3 - 14. Is r(o) prime?
True
Let y = -3364 - -4761. Is y prime?
False
Suppose -4*j + 3*p = 8*p - 1412, -3*p + 1778 = 5*j. Is j composite?
True
Let f(k) = k**2 - 5*k + 4. Let c be 132/20 - (-4)/10. Let b be f(c). Let s = b + -11. Is s a prime number?
True
Suppose 519 = j - 190. Is j a prime number?
True
Let i = 1837 + -1206. Is i composite?
False
Let s(h) = -3*h**3 + 11*h**2 - 11*h + 229. Let q(n) = -n**3 + 4*n**2 - 4*n + 76. Let p(r) = -8*q(r) + 3*s(r). Is p(0) prime?
True
Suppose 4*m = 22 - 14. Is m composite?
False
Suppose 4*l + 310 = f, -4*f + l + 362 + 833 = 0. Is f a composite number?
True
Let d = 249 + 82. Is d a composite number?
False
Suppose -22888 = -7*a - a. Is a a composite number?
False
Let b(n) = n + 14. Let g be b(-12). Suppose 2*v + 34 = c + c, 5*c - 97 = g*v. Is c a prime number?
False
Let x(l) = 1716*l**2 + 5*l + 6. Is x(-1) a prime number?
False
Is ((1 + 0)*2 - -2214) + 3 a composite number?
True
Suppose 2*n = 4*p + 1148 + 146, p - 1299 = -2*n. Is n a composite number?
True
Suppose 0 = 4*m - 5*s - 243, 4*s = 6*m - m - 297. Suppose -4*h = -h - m. Is h composite?
False
Suppose 0 = -2*a + 158 + 356. Is a a prime number?
True
Let a(g) = -g**2 - 5*g + 3. Let k be a(-6). Is (1 - -2)/(k/(-46)) prime?
False
Let s be (0 - 1) + 0 + -8. Let d(q) = -8*q**2 - 6*q - 1. Let t(r) = -16*r**2 - 13*r - 2. Let a(v) = s*d(v) + 4*t(v). Is a(2) composite?
False
Suppose 2*w = 3*w - 5. Suppose -f + 121 = n, w*n - 581 = 2*f + f. Is n a prime number?
False
Let p be (67/(-2))/(2/(-8)). Suppose 3*q + v = -2*q + 14, 0 = 3*q + v - 8. Suppose q*z - z - p = 0. Is z a composite number?
False
Let w = 2 + 0. Suppose 0 = w*r - 230 + 18. Is r a prime number?
False
Suppose 3*k + v = 9, -3*v = 2*k - 2 - 4. Suppose k*b - 1325 = -2*b. Is b a composite number?
True
Let i(z) = -z + 13. Let j be i(9). Let m(x) be the first derivative of 2*x**3 - 2*x**2 - x + 1. Is m(j) a prime number?
True
Let x(r) = -7*r**2 + 5*r - 9 + r**3 + 0*r + r**3. Is x(6) a prime number?
False
Suppose -7 = 2*n + 9. Is n/(-12) + 345/9 a composite number?
True
Suppose -2*p - 15 = -k, 3*k + 2*p = 6*k - 41. Is k a prime number?
True
Let f(v) = -v**3 + 2*v**2 - 2*v - 1. Is f(-2) prime?
True
Let b(x) = -x**3 + 8*x**2 + 8*x - 12. Let s be b(8). Suppose i = -i + 2*v + s, 4*v = 0. Is i composite?
True
Let c(x) = x**3 + 5*x**2 - 4*x - 2. Let y be c(-5). Let w = y - 12. Is (-2)/(4/w) - -56 a composite number?
False
Let a(u) = -2*u**3 - 4*u**2 - 4*u - 4. Let f be a(-6). Suppose 2*g - f = -2*g. Is g composite?
True
Let w be 2 + -12 - -3 - 2. Is (w + 6)*(-85)/3 prime?
False
Let h(g) = 30*g**2 + 2*g + 3. Let i = 6 + -8. Is h(i) prime?
False
Suppose n + 0*n + 5*h - 26 = 0, -5*h + 67 = 2*n. Let y = n + 78. Is y composite?
True
Let k = -6 + 11. Suppose 5*n - 90 = -5*v, -k*n + v = 2*v - 110. Is n prime?
True
Let b(l) = -l**3 - 7*l**2 + 5*l - 11. Let h be b(-9). Suppose 4*y = 2*o - h, 0 = 4*o - o - y - 159. Is o a composite number?
False
Let y(p) = 14*p**2 + 4*p - 29. Is y(-9) a composite number?
False
Suppose -5 = c - 2*b, 0 = -3*c + 4*b - 17. Is ((-6)/(-14) + -1)*c a prime number?
False
Let g(q) = -53*q**3 + q**2 + 4*q - 3. Let x be g(2). Let v = -258 - x. Is v composite?
False
Suppose 5*o = 15 - 40. Is 1 + 40 + 3 + o prime?
False
Let v = -8 + 8. Suppose -a + 0*a + 31 = v. Is a prime?
True
Suppose g - 3 = -7. Let o(x) = -2*x**3 - 2*x**2 + 3*x - 1. Is o(g) prime?
True
Let a be 4 + -3 + 2/1. Suppose 2*h - 3*h + 132 = -a*f, 0 = -4*h - f + 489. Is h a prime number?
False
Let b(l) = 2*l**2 - 4*l + 3. Let k be b(2). Suppose k*g = 44 + 55. Is g a composite number?
True
Suppose 0 = 5*a - 2 + 17. Is (-6054)/(-18) + (-2)/a a composite number?
False
Suppose 266 = -5*t - 0*y - 3*y, 4*y = 5*t + 287. Let b = t - -101. Is b a composite number?
True
Let h(z) = z*
|
{
"pile_set_name": "DM Mathematics"
}
|
/7
Find t such that -4*t**5 - 1656*t**4 + 6676*t**3 - 5016*t**2 = 0.
-418, 0, 1, 3
Solve -2*d**2 - 110*d - 1368 = 0.
-36, -19
Factor 3*h**2 + 582*h + 5520.
3*(h + 10)*(h + 184)
What is u in -75*u**2/4 - 15480*u - 3195072 = 0?
-2064/5
Suppose -y**4 - 1516*y**3 - 118938*y**2 + 1516*y + 118939 = 0. What is y?
-1433, -83, -1, 1
Factor -5*g**5 + 155*g**4 - 1580*g**3 + 4000*g**2 + 24320*g - 112640.
-5*(g - 11)*(g - 8)**3*(g + 4)
Suppose 5*l**2/6 + 6325*l/3 + 25180 = 0. What is l?
-2518, -12
Solve 5*g**5/3 + 45*g**4 + 935*g**3/3 + 795*g**2 + 2480*g/3 + 300 = 0 for g.
-18, -5, -2, -1
Find v such that 2*v**4/9 - 28*v**3 - 3224*v**2/9 - 4016*v/3 - 1472 = 0.
-6, -4, -2, 138
Suppose -2*d**4/11 + 10*d**3 - 1090*d**2/11 + 2410*d/11 + 3612/11 = 0. What is d?
-1, 6, 7, 43
Factor 5*t**2 - 12595*t - 25210.
5*(t - 2521)*(t + 2)
Factor -w**2 + 12030*w - 108189.
-(w - 12021)*(w - 9)
Factor -4*i**2 - 295132*i - 885360.
-4*(i + 3)*(i + 73780)
What is a in 2*a**4/11 + 784*a**3/11 - 3970*a**2/11 = 0?
-397, 0, 5
Factor -2*f**3 - 500*f**2 - 1486*f - 988.
-2*(f + 1)*(f + 2)*(f + 247)
Factor -m**3/6 - 84215*m**2/3 - 168428*m/3.
-m*(m + 2)*(m + 168428)/6
Solve -q**4/2 + 56*q**3 - 1605*q**2 + 17100*q - 118125/2 = 0 for q.
7, 15, 75
Determine l so that -l**4/3 + 44*l**3/3 - 190*l**2/3 - 812*l - 1443 = 0.
-3, 13, 37
Factor -g**3/5 + 2429*g**2/5 + 4861*g/5 + 2431/5.
-(g - 2431)*(g + 1)**2/5
Suppose -u**4 + 299*u**3 + 4382*u**2 = 0. What is u?
-14, 0, 313
Find u, given that 2*u**3 - 55198*u**2 - 55200*u = 0.
-1, 0, 27600
Find j, given that 980*j**5 + 60928*j**4 + 4094616*j**3/5 - 20649168*j**2/5 - 725868*j - 156816/5 = 0.
-33, -3/35, 4
Factor s**5/3 + 710*s**4/3 + 56862*s**3 + 14461844*s**2/3 + 144028717*s/3 + 126493370.
(s + 5)*(s + 6)*(s + 233)**3/3
What is q in -q**5 + 980*q**4 + 2948*q**3 + 986*q**2 - 2947*q - 1966 = 0?
-2, -1, 1, 983
Let -4*r**3/3 + 3592*r**2 + 28848*r - 216160/3 = 0. What is r?
-10, 2, 2702
What is n in -2*n**3/9 + 11812*n**2/9 - 11806*n/9 - 23620/9 = 0?
-1, 2, 5905
Let -5*j**3/4 - 2285*j**2/2 - 9125*j/4 - 1140 = 0. Calculate j.
-912, -1
Solve z**2/3 - 174136*z/3 + 174133 = 0 for z.
3, 174133
Suppose -2*c**2 + 1814*c - 14384 = 0. Calculate c.
8, 899
Solve 2*i**5/7 - 240*i**4/7 + 472*i**3/7 + 4*i**2/7 - 474*i/7 + 236/7 = 0 for i.
-1, 1, 118
Factor 2*o**2 - 9352*o + 37376.
2*(o - 4672)*(o - 4)
Factor -3*b**2/5 - 468*b/5 - 9177/5.
-3*(b + 23)*(b + 133)/5
Find j such that 20*j**5 - 828*j**4 + 53589*j**3/5 - 208718*j**2/5 - 140151*j/5 - 4356 = 0.
-3/10, 11, 20
What is l in -2*l**4/17 + 84760*l**3/17 - 70432236*l**2 + 331618441176*l + 331688878398 = 0?
-1, 14127
Factor 3*l**2/2 - 195*l - 393/2.
3*(l - 131)*(l + 1)/2
Factor 3*f**2 - 377058*f + 377055.
3*(f - 125685)*(f - 1)
Find g such that 3*g**3 + 1629*g**2 + 237249*g + 4291623 = 0.
-261, -21
Let -2*z**5 + 16642*z**4 - 34544510*z**3 - 312250050*z**2 = 0. Calculate z.
-9, 0, 4165
Factor -s**3 - 4565*s**2/3 - 9103*s - 13641.
-(s + 3)**2*(3*s + 4547)/3
Find f, given that -5*f**2 - 396200*f - 7848722000 = 0.
-39620
Determine q so that 3*q**2 + 342*q + 6675 = 0.
-89, -25
Find n, given that 5*n**2 - 12620*n + 62975 = 0.
5, 2519
Factor -2*s**3 + 570*s**2 - 31500*s.
-2*s*(s - 210)*(s - 75)
Factor 4*u**2/3 - 15044*u/3 + 14145121/3.
(2*u - 3761)**2/3
Let 12*r**3/5 + 64*r**2 + 2844*r/5 + 8424/5 = 0. Calculate r.
-9, -26/3
Factor -2*u**5/9 + 17060*u**4/9 - 36380450*u**3/9.
-2*u**3*(u - 4265)**2/9
Let -3*p**3/2 - 17709*p**2/2 - 35400*p - 35394 = 0. What is p?
-5899, -2
Factor 3*o**2 + 105*o - 738.
3*(o - 6)*(o + 41)
Solve -5*f**2 - 998450*f - 49845120125 = 0 for f.
-99845
Solve 2*m**3/5 + 381656*m**2/5 + 2289882*m/5 + 3434796/5 = 0 for m.
-190822, -3
Solve -3*m**3 + 60*m**2 + 9108*m = 0 for m.
-46, 0, 66
Find s such that 130*s**2/9 - 112*s/9 - 2 = 0.
-9/65, 1
Solve -4*q**3 + 18808*q**2 = 0.
0, 4702
Find m such that 16*m**5/5 + 496*m**4/5 - 3564*m**3/5 - 368*m**2/5 + 2788*m/5 - 888/5 = 0.
-37, -1, 1/2, 6
Find f such that -2652*f**3 + 7329*f**2 + 1890*f - 27 = 0.
-1/4, 3/221, 3
Find k, given that -2072*k**4 - 12*k**3 + 6216*k**2 + 4180*k + 24 = 0.
-1, -3/518, 2
Solve 5*v**4/6 - 85480*v**3/3 + 256395*v**2 - 769140*v + 1538235/2 = 0.
3, 34183
Solve -2*d**3 - 26*d**2/3 + 56*d/3 - 8 = 0.
-6, 2/3, 1
Suppose 3*c**3 - 585*c**2 - 25722*c - 195720 = 0. What is c?
-28, -10, 233
Find x such that 75*x**5/2 + 3660*x**4 + 9198*x**3 - 6189*x**2 - 11703*x/2 - 855 = 0.
-95, -3, -2/5, -1/5, 1
Suppose -20*w**4 + 92092*w**3 - 103890660*w**2 - 4906633500*w - 1946025000 = 0. Calculate w.
-45, -2/5, 2325
What is y in 2*y**4 + 880*y**3 + 111354*y**2 + 3070476*y = 0?
-201, -38, 0
Factor 30603*v**2 + 449652*v + 1651692.
3*(101*v + 742)**2
Let -296*l**4/17 - 15690*l**3/17 - 106*l**2/17 = 0. What is l?
-53, -1/148, 0
Factor 4*j**2 - 6548*j - 39432.
4*(j - 1643)*(j + 6)
Factor -b**4/2 - 55*b**3 + 223*b**2/2 - 56*b.
-b*(b - 1)**2*(b + 112)/2
Let -5*s**4 + 35*s**3 + 2845*s**2 - 28875*s = 0. What is s?
-25, 0, 11, 21
Determine t, given that 42*t**5 + 162*t**4 + 153*t**3/2 - 111*t**2 - 81*t/2 + 27 = 0.
-3, -1, -6/7, 1/2
Factor 2*f**3/9 + 30562*f**2/9 + 12971022*f - 12974418.
2*(f - 1)*(f + 7641)**2/9
Factor 250*o**2 + 333705*o - 60075.
5*(o + 1335)*(50*o - 9)
Factor 2*t**2/17 - 651008*t/17 + 52976427008/17.
2*(t - 162752)**2/17
Suppose -2*p**4 + 26*p**3 + 7710*p**2 - 66458*p - 6847900 = 0. What is p?
-50, -31, 47
Let -3*x**2 - 19146*x - 286515 = 0. Calculate x.
-6367, -15
Find g, given that -g**5 - 1217*g**4 + 2441*g**3 + 3649*g**2 - 9748*g + 4876 = 0.
-1219, -2, 1, 2
Factor -5*c**2 + 63915*c - 191700.
-5*(c - 12780)*(c - 3)
Suppose -2*x**3/9 + 604*x**2/9 + 3640*x/3 - 1156400 = 0. Calculate x.
-118, 210
Factor -3*z**2 - 12468*z - 62265.
-3*(z + 5)*(z + 4151)
Find s such that 8*s**5/3 + 214*s**4/3 + 490*s**3/3 - 1000*s**2/3 - 696*s + 192 = 0.
-24, -3, -2, 1/4, 2
Factor -f**3/5 - 27091*f**2/5 + 27092*f/5.
-f*(f - 1)*(f + 27092)/5
Factor 5*v**2 - 7400*v + 73500.
5*(v - 1470)*(v - 10)
Solve r**2/3 - 120*r + 32111/3 = 0.
163, 197
Suppose -3*v**5/4 + 189*v**4/2 - 15999*v**3/4 + 58149*v**2 - 54243*v = 0. Calculate v.
0, 1, 41, 42
Factor -2*i**2/13 - 653408*i/13 - 53367751808/13.
-2*(i + 163352)**2/13
Factor b**2/3 - 517*b/3 - 1936.
(b - 528)*(b + 11)/3
Let -p**4 + 34*p**3 + 601*p**2 + 494*p - 1128 = 0. What is p?
-12, -2, 1, 47
Suppose -6*m**2/7 - 24*m + 990/7 = 0. Calculate m.
-33, 5
Solve 5*a**3 - 121180*a**2 + 242345*a - 121170 = 0 for a.
1, 24234
Find q, given that -5*q**4/6 + 8*q**3 + 79*q**2/6 - 107*q + 260/3 = 0.
-4, 1, 13/5, 10
Suppose -6*j**4/17 - 1760*j**3/17 + 8318*j**2/17 - 7760*j/17 - 3576/17 = 0. Calculate j.
-298, -1/3, 2, 3
Suppose -u**5 - 310*u**4 - 31231*u**3 - 1041326*u**2 - 3541172*u + 4614040 = 0. What is u?
-122, -62, -5, 1
Factor n**4/4 - 79*n**3/4 + 383*n**2/2 - 306*n.
n*(n - 68)*(n - 9)*(n - 2)/4
Let 6*z**5/5 - 579*z**4/5 + 249*z**3/5 + 3726*z**2/5 + 1728*z/5 = 0. Calculate z.
-2, -1/2, 0, 3, 96
Suppose 6*l**2 - 9226*l/3 + 85652 = 0. Calculate l.
266/9, 483
Factor -q**2/4 + 421*q/2 - 420.
-(q - 840)*(q - 2)/4
Factor 5*f**4/6 + 4850*f**3/3 + 1044905*f**2 + 673960490*f/3 - 1354200115/6.
5*(f - 1)*(f + 647)**3/6
Factor g**2/6 - 4129*g + 51145923/2.
(g - 12387)**2/6
Factor -3*m**3/5 - 7441*m**2/5 - 14873*m/5 - 1487.
-(m + 1)**2*(3*m + 7435)/5
Let -3*i**4 + 450*i**3 + 9*i**2 - 1344*i - 900 = 0. What is i?
-1, 2, 150
Factor 2*w**3/5 - 888126*w**2/5 + 1776246*w/5 - 888122/5.
2*(w - 444061)*(w - 1)**2/5
Find y such that -2*y**4/11 + 64*y**3/11 + 758*y**2/11 - 820*y/11 = 0.
-10, 0, 1, 41
Find a such that 2*a**5/9 + 136*a**4/9 - 2426*a**3/9 + 5576*a**2/9 + 7304*a/3 = 0.
-83, -2, 0, 6, 11
Factor 4*a**3/7 - 1340*a**2/7 + 4152*a - 112320/7.
4*(a - 312)*(a - 18)*(a - 5)/7
Let -5*o**3 - 235*o**2 + 4765*o - 17325 = 0. Calculate o.
-63, 5, 11
Factor -5*d**2 + 253450*d - 3211845125.
-5*(d - 25345)**2
Factor -2*i**3 - 358996*i**2 - 16109766002*i.
-2*i*(i + 89749)**2
What is l in -2*l**3 + 12*l**2 + 13058*l + 219492 = 0?
-67, -18, 91
Factor -2*j**2 - 58068*j - 421486578.
-2*(j + 14517)**2
Factor -4*c**3 + 1348*c**2 + 19560*c + 33696.
-4*(c - 351)*(c + 2)*(c + 12)
What is u in 16*u**2/3 + 51050*u/3 - 6382 = 0?
-3191, 3/8
Let 10*k**5 - 226*k**4 - 5202*k**3 - 24014*k**2 - 25888*k - 6840 = 0. What is k?
-9, -5, -1, -2/5, 38
Let 3*m**3 + 114*m**2 + 591*m + 48
|
{
"pile_set_name": "DM Mathematics"
}
|
5 + 0.05. Let v = -1.5 - k. What is the nearest to o in -1, -1/7, v?
-1/7
Let g = -0.4 - -0.3. Which is the closest to g? (a) -2/9 (b) -2 (c) -0.06
c
Let d = -1.4 - -1.3. Let i = 169/4 - 42. What is the nearest to d in i, 0.1, -0.4?
0.1
Let a = -2.3 - -1.3. What is the closest to a in -2, 4, -0.4?
-0.4
Let i = -50 - -50.4. Which is the nearest to 1/2? (a) i (b) -0.2 (c) -0.3
a
Let n = -0.3 - -0.4. Let b = 0.04 - -0.16. What is the nearest to b in n, -0.1, -4?
n
Let z = 120 + -120. Which is the nearest to -1? (a) z (b) -3 (c) -3/10
c
Let s = 5.1 + -6. Let m = s + 0.4. Which is the closest to 1? (a) m (b) 0.4 (c) -1/5
b
Let y = 10 - 14. Let r be 10/y*(-32)/40. Which is the nearest to r? (a) -5 (b) 0.5 (c) -2/11
b
Let z = 61/6 - 59/6. Let d = 17/182 + 5/26. What is the closest to d in -0.2, z, 0?
z
Let t = 0.1 + 0.9. Suppose 39 = -3*m - 42. Let k be 14/(-18) - (-6)/m. What is the nearest to k in t, 1/2, -2?
-2
Let u = 3.2 - 2.9. Which is the nearest to -1? (a) 2/9 (b) 5 (c) u
a
Suppose 3*d + 2*m - 22 = 0, d - 4*m = -d + 36. Let t = 19/2 - d. Which is the closest to 0.1? (a) -5 (b) t (c) -3/8
c
Let r = 1.3 + -0.8. Let k = 33 - 33.1. Which is the nearest to r? (a) k (b) 0.3 (c) 1
b
Let k = 101.9 + -102. Which is the nearest to k? (a) 4 (b) 6 (c) -0.2
c
Let x be -3 + -1 - (-1)/5. Let c = -3/239 + -4048/1195. Let a = c - x. What is the nearest to 1/2 in -4, -3/7, a?
a
Let j = 22 - 23. Let n = -2 + 3. What is the closest to j in n, -4/9, 2/9?
-4/9
Let d be (-4)/(-16)*2/(-2)*2. What is the nearest to -1 in d, 0.3, -2?
d
Let c = 16.1 + -15. Let g = -0.8 + c. What is the closest to 1/3 in g, -1/8, -0.2?
g
Let w = 0.29 + -0.69. What is the nearest to 1/3 in w, 0.3, -0.2?
0.3
Let n = -0.18 - 0.02. Suppose 2*y - 6 = 4. Let s = y - 8. Which is the nearest to -1? (a) s (b) 0.3 (c) n
c
Suppose 2*s = 6*s - 4*u + 4, -4*u + 4 = s. Which is the nearest to 0? (a) s (b) -0.1 (c) -4
a
Let l = -8.1 - -8. Let b = 4/5 + -2/15. Suppose 16 = -0*z - 4*z + 2*o, 0 = 3*o - 12. What is the nearest to b in l, 0.3, z?
0.3
Let l = 94/215 - -7/43. Which is the nearest to 1? (a) 0.5 (b) l (c) -4/7
b
Suppose -8 = -4*x + 40. Suppose w + 1 = -4*n - 4, -4*w + x = 0. Let z = -48/95 + 2/19. Which is the closest to n? (a) -4 (b) -2 (c) z
b
Suppose -10 + 16 = -u. Let j be ((-5)/30)/(u/8). What is the nearest to 0.1 in 0, j, 2?
0
Let z = 1.8 + -1.94. Let q = z + 1.14. Let d(y) = -2*y - 6. Let w be d(-5). Which is the nearest to -1? (a) 5 (b) w (c) q
c
Let d be ((-10)/(-6))/(1/(-18)). Let r be 0 - 5/(d/4). Let j = 0.2 + -0.3. What is the closest to j in -2, 2, r?
r
Let q = -299 + 583/2. Let d = q - -47/6. What is the nearest to d in 0.1, -0.5, -3?
0.1
Let z be (-44)/(-77) - 47/70. What is the closest to -0.1 in z, -1/8, 4?
z
Let u = -20 + 16. Which is the nearest to 0.1? (a) -3 (b) u (c) -0.4
c
Let w(i) = 6*i + 1. Let f be w(-1). What is the nearest to 2 in -0.5, f, 2/13?
2/13
Let q = -13 + 13. Which is the closest to q? (a) -2/7 (b) 4/3 (c) -5
a
Let w = 21 - 23. Let n = 209/476 + -9/28. Which is the nearest to w? (a) 2 (b) n (c) -2
c
Let m(p) = -p**3 - 8*p**2 - 9*p + 13. Let s be m(-6). What is the closest to -1/2 in s, 0.4, -2/19?
-2/19
Let d = -0.5 + 0.3. Let h = 68.4 - 68. What is the closest to d in -1, h, 0.2?
0.2
Let u = 0 - 1/3. Which is the nearest to 2/3? (a) u (b) -4 (c) 1/3
c
Let s be (-10)/(-28) + 5/(-10). Let b = 0.9 - -0.1. Let l be ((3 - 4)*6)/(-2). What is the nearest to 1 in s, b, l?
b
Let d be ((-2)/6)/((-2)/(-15)). Let t = 49.1 - 49. What is the closest to t in d, 0.1, -4/3?
0.1
Let y = 0.1 - 0. Let q = 8 - 8. Let f = -1.1 + 1.6. What is the closest to q in -4, y, f?
y
Let m = 2.41 - -0.56. Let s = -0.03 - m. Let a = 7 + -3. What is the nearest to 0.1 in -0.1, a, s?
-0.1
Let y = 11.1 - 11. What is the closest to 1/2 in y, 0.5, 5?
0.5
Let i = 16.2 - 16.3. Which is the closest to i? (a) 2.3 (b) -0.3 (c) 3/7
b
Let i be ((-2)/4)/(2/(-12)). Let l = 10 + -5. Suppose -k = -t + 6, -6*k - 14 = -2*k + t. What is the closest to 1 in i, l, k?
i
Let o = -134 + 135. Let m be 1554/4 + 2/4. Let j = -6611/17 + m. Which is the closest to o? (a) -0.2 (b) j (c) -0.5
b
Let s = -10 - -6. Let m = 5 - 5.3. Let g = m - -0.2. Which is the closest to g? (a) 1 (b) s (c) 4
a
Let y be (0 + 1 + -1)/(4/(-4)). Let t = 0 - 2. What is the closest to y in -3, -0.2, t?
-0.2
Let g be 5*((-46)/(-20) - 2). Let h = 0.1 + -0.34. Let y = 0.06 - h. Which is the nearest to 2/7? (a) y (b) g (c) -1/7
a
Let i = -0.01 - -0.21. Let l = i + 4.8. Let k = -5 + 5.3. What is the closest to -2/5 in -0.4, k, l?
-0.4
Let s be (24/(-15))/((-4)/30). Let v be 14/s + (2 - 3). Let x = 1 - 2. What is the closest to x in 0.2, 5, v?
v
Let j = 0.345 + -0.045. What is the nearest to -0.16 in -1/4, j, -0.3?
-1/4
Let t be ((-2)/(-5))/((-4)/(-20)). Let b = t - 2. Suppose b = -g - 2*g. What is the nearest to g in -5, -1/7, 4?
-1/7
Suppose 9*h - 50 = -14. Which is the closest to 1/10? (a) -3 (b) -0.3 (c) h
b
Let p = -16 + 17. Which is the closest to p? (a) -2/15 (b) 0 (c) 1
c
Let v(k) = 3*k - 17. Let z be v(7). Which is the closest to 2? (a) z (b) 2/15 (c) -10
b
Let z = -35 - -36. What is the nearest to z in -1, 0.2, 3/7?
3/7
Let u = -88 - -527/6. Let q = 8 + -6. Which is the nearest to -0.1? (a) u (b) q (c) -1/11
c
Let p = -0.169 + 0.669. Let q = -4.777 + -0.173. Let h = q - 0.05. Which is the closest to 1/2? (a) p (b) h (c) 0.1
a
Suppose -4*s = u - 6*u + 3, -4*u - 2*s + 18 = 0. Which is the closest to 0? (a) -5 (b) u (c) -11
b
Suppose 3*l - r + 14 = 0, 21 = -l + 5*r + 7. What is the nearest to l in -1/6, -4, 0.3?
-4
Let v be 40/(-12) - 3/(-9). Which is the closest to -3/16? (a) -4 (b) -2 (c) v
b
Let d = 119.9 + -114. Let k = d + -6. Let o be (-1)/4 + 1/(-4). Which is the closest to k? (a) -3/7 (b) o (c) 2/13
c
Let r = -14 + 17. Let b(y) = y**2 - y. Let j be b(2). Let z be (-3 + j)/((-2)/1). What is the closest to z in 0.3, -5, r?
0.3
Let c = -7.4 + 7.5. What is the nearest to c in 0.3, 0.2, -12?
0.2
Let t = -0.03 - -0.33. Which is the nearest to 0.6? (a) 2 (b) 0.2 (c) t
c
Let j = -0.9 + 0.9. Which is the closest to j? (a) -2/11 (b) 3 (c) 5
a
Let d(r) = 2*r**3 - 4*r**2 + 4*r - 3. Let f be d(2). Let o = 11.23 + -0.23. Let m = 14 - o. Which is the nearest to 1/3? (a) m (b) f (c) 0.1
c
Let x = -15 + 15.1. Which is the nearest to x? (a) -1/4 (b) -2/17 (c) -1/5
b
Let t = 13469.33 + -13528. Let s = t - -61.7. Let n = 0.03 - s. Which is the nearest to 2? (a) -2/3 (b) -5 (c) n
a
Let s = 0.08 + -0.13. Let r = 0.05 + s. Which is the closest to 1? (a) r (b) 0.2 (c) 4
b
Let g = -107/3 + 36. Which is the closest to g? (a) 0.4 (b) 1/5 (c) -10
a
Let s = 10 - 9. Let y = -2297/17 - -135. Let t = 9 - 5. What is the nearest to s in 5, y, t?
y
Suppose 0 = 3*d + 4*j + 19, -3*d + 5*j + 1 - 11 = 0. Which is the nearest to 4? (a) d (b) -0.1 (c) -1
b
Let w be 3 + 2/(-2) + -2. Let g = -6 - -4. Let y be g + 1 - (-2 - 0). Which is the closest to y? (a) 4 (b) w (c) 1/9
c
Let k = -3060/11 - -278. Which is the closest to 0? (a) k (b) 0.01 (c) -4
b
Let q = 22.3 + -22. What is the nearest to q in 0, 0.01, -4?
0.01
Suppose 0 = 5*k - 2*p + 21, -3*k + 3*p = -4*k - 11. Which is the closest to 1/4? (a) 2 (b) k (c) -6
a
Let m = 2 + -1. Let s = -17.2 - -16.2. What is the nearest to m in -0.5, -3, s?
-0.5
Suppose -3*h - 3*p = -15, -h - 4*h = -2*p - 4. Let l = 1 + h. Which is the closest to -0.1? (a) 1/8 (b) l (c) -2
a
Let q be (-1)/(-4) + (-3)/12. Suppose 6*z - 3*z = -3*z. Which is the nearest to q? (a) -4 (b) z (c) -0.1
b
Let d = -3 - -2.8. Let m = d - -0.4. Which is the closest to m? (a) 1 (b) 1/7 (c) -2/7
b
Let c = 2.9 - 3.2. What is the closest to -1 in -0.4, c, 2?
-0.4
Let c = 20 + -2. Suppose -3*u + 1 = y - 13, 2*y - c = -4*u. What is the nearest to u in 2, 2/11, 3/2?
2
Let z be (-366)/(-8) - 1/(-4). Let k be z/10 + 4/10. Suppose 5*g = 4*x + 13, -x - 2*g - k = -6*x. Which is the nearest to -1/3? (a) x (b) 5 (c) 1/2
c
Let n be (-1*(-6)/(-3))/(-1). Suppose -5*l = -10*l. Suppose 0*u + u = l. Which is the closest to u? (a) 0.3 (b) n (c) -5
a
Let i = -8 - -5. Let f be (-3)/(-8)*12/9. What is the closest to i in f, 0, 0.1?
0
Let f = 11 + -11.
|
{
"pile_set_name": "DM Mathematics"
}
|
*w**3 - 2*w**3 + 2*w**3 + 35*w**p - 21*w**2 - 16*w**2 with respect to w.
-9*w**2 - 4*w
Let u(l) = -4578*l**3 + 14742*l**2 - 77. Let j(m) = 176*m**3 - 567*m**2 + 3. Let h(p) = -154*j(p) - 6*u(p). What is the third derivative of h(x) wrt x?
2184
Let q(n) be the third derivative of 319*n**7/210 + 479*n**5/60 + 1123*n**2. What is the third derivative of q(z) wrt z?
7656*z
What is the third derivative of -12*p**4 - 154*p**5 + p - 752117*p**3 + 752117*p**3 + 676*p**2 + 0*p wrt p?
-9240*p**2 - 288*p
Let v be (-8)/12*(-210942)/4. What is the second derivative of -35157 - 92*r - 38*r**2 + v wrt r?
-76
Let a(k) = -2*k**3 + k**2 - 3*k + 1. Let j(n) = -428*n**4 + 4*n**3 - 2*n**2 - 1373*n - 2. Let l(p) = -2*a(p) - j(p). Find the second derivative of l(g) wrt g.
5136*g**2
Let r(u) = u**3 - 28*u**2 - 48*u + 53. Let q be r(31). What is the third derivative of q + 154*t**3 - 1448 + 63*t**2 wrt t?
924
Let s(j) be the first derivative of 17*j**8/840 - 29*j**4/12 + 7*j**3 + 3. Let z(i) be the third derivative of s(i). Find the first derivative of z(n) wrt n.
136*n**3
Let k(n) = -25*n**3 + 3 - 27*n**3 + 3 + 2*n - 11. Let t(l) = 52*l**3 + l**2 - 2*l + 6. Let o(h) = 6*k(h) + 5*t(h). What is the third derivative of o(y) wrt y?
-312
Let j = -232 - -237. What is the third derivative of -j*u**2 + 0*u - 80*u**3 + 9*u**3 - 4*u wrt u?
-426
What is the first derivative of -229*m + 37*m + 633 + 235*m - 437*m - 344*m wrt m?
-738
Suppose 4*r + 2*k = 32, 6*k - k = 2*r + 8. What is the third derivative of -32*h**r + 3*h**2 - 9505 + 9481 - 3*h**3 - h**3 wrt h?
-3840*h**3 - 24
Let b(i) = 148*i**3 - 4*i**2 - 10431. Let h(z) = 296*z**3 - 9*z**2 - 20862. Let t(c) = -5*b(c) + 2*h(c). What is the first derivative of t(p) wrt p?
-444*p**2 + 4*p
Let y be (-5)/(-1)*6*3/30. What is the second derivative of 13*r**y + 12*r**3 - 27*r**3 + 4*r**2 + 140*r wrt r?
-12*r + 8
What is the third derivative of 0*z**6 + 9*z**2 - 2*z**6 + 24*z**5 - 16*z + 73*z**2 - 53*z**2 wrt z?
-240*z**3 + 1440*z**2
Find the third derivative of 7638*u**3 - 3*u + 132*u**2 + 332 - 167 - 164 - 2652*u**3 + 2*u wrt u.
29916
Let y(x) be the first derivative of 317*x**2/2 - 807*x + 1092. Find the first derivative of y(k) wrt k.
317
Let y(u) = -1053*u**4 - 12*u**3 - 194*u**2. Let w(v) = -2105*v**4 - 19*v**3 - 380*v**2. Let c(f) = 3*w(f) - 5*y(f). What is the third derivative of c(q) wrt q?
-25200*q + 18
Let y = -696 + 895. Find the first derivative of -129*k + y - 352*k + 179*k wrt k.
-302
Suppose 5*d - 2 = 4*y, -4*d = 3*y - 7*y. Let j(z) = 3*z. Let g be j(y). What is the third derivative of 0*s**2 - 10*s**2 - 8*s**2 - 33*s**g wrt s?
-3960*s**3
Let l be 8/5 - 1452/220. Let n(b) = -266*b - 273. Let t(v) = 133*v + 136. Let i(k) = l*t(k) - 2*n(k). What is the derivative of i(d) wrt d?
-133
What is the second derivative of -212159*c**4 + 0*c + 212159*c**4 - 89 + 2112*c**5 + 4*c wrt c?
42240*c**3
Find the third derivative of 40*n**2 + 856*n**5 - 39*n**2 - 739*n**5 - 2*n**4 - 291 wrt n.
7020*n**2 - 48*n
Let v = 54 - 32. Suppose o - 2 = -4*g, -o + 2*g = -5*o + v. Find the second derivative of -13*k - o*k**3 - 14*k - 19*k**3 wrt k.
-150*k
Suppose -9*s = -10*s + 11. Suppose 79 = s*t - 9. What is the derivative of -5 - 2 - 7 + t*o + 12*o wrt o?
20
Let t(w) be the third derivative of 793*w**7/105 - 23*w**5/12 + 2*w**3/3 + 654*w**2 - 1. What is the third derivative of t(s) wrt s?
38064*s
Suppose 4*j = 2*u - 38, 3*j = -2*j - 15. Let k = 16 - u. Find the second derivative of -5*m - k*m - 10*m**5 - 14*m wrt m.
-200*m**3
Find the third derivative of -179*z**5 + 97416*z**4 - 97420*z**4 + 1233*z**2 - 396*z**2 wrt z.
-10740*z**2 - 96*z
Let s(i) be the third derivative of 0*i**5 + i**2 + 5/12*i**4 + 0*i**7 - 61/336*i**8 + 0*i**6 + 29 + 0*i + 0*i**3. What is the second derivative of s(b) wrt b?
-1220*b**3
Suppose -16*n + 5*c + 29 = -14*n, 0 = n + 3*c + 13. Find the third derivative of -13*g + 6*g**5 + n*g**4 + 13*g - 215*g**2 + 108*g**2 wrt g.
360*g**2 + 48*g
Let s(p) = 13*p - 61. Let c(x) = -14*x + 61. Suppose 2*i - 4*t = -12, 9*i = 4*i - t + 14. Let u(m) = i*s(m) + 3*c(m). Differentiate u(q) with respect to q.
-16
Let q(g) = -48*g**3 - 3*g + 2. Let r be q(1). Let c be (-7)/(-2)*(-28)/r. What is the second derivative of -3*d - 7*d - 4*d + c*d + 17*d**3 wrt d?
102*d
Let o(u) = u**3 + 14*u**2 - 15*u. Let g be o(-15). Suppose g = 3*r - 12 + 3. Find the first derivative of -1 - 3*c**3 + 5*c**3 - 14*c**r - 5 wrt c.
-36*c**2
Suppose 0*a + 46 = 4*a - 5*m, -3*a + 33 = -3*m. Differentiate a*r**4 - 402*r + 19*r**4 + 112 + 403*r with respect to r.
112*r**3 + 1
Let q be 10*(-19962)/12*20/(-75). Find the second derivative of -q*z**2 + 4596*z**2 - 63*z - 18*z wrt z.
320
Let t(c) be the first derivative of c**2 + 46 + 88*c - 2/3*c**3. Differentiate t(f) with respect to f.
-4*f + 2
Let c(x) be the first derivative of -383*x**3 + 1053*x + 2096. What is the first derivative of c(r) wrt r?
-2298*r
Find the third derivative of -1601*f**3 - 4777*f**2 - 28112*f + 28112*f + 3620*f**3 wrt f.
12114
Suppose 0 = 5*h - 0*h - 10. Find the second derivative of h*a + 186*a**2 - 3 + 36*a - 9*a wrt a.
372
Let b = 306 + -303. Let o be -72*(9/(-2) - -4). What is the second derivative of 9*f**b + f**2 - f**2 + 12*f - o*f wrt f?
54*f
Let d(s) be the first derivative of -7/4*s**4 + 57/2*s**2 + 0*s**3 + 0*s + 50 - 2/5*s**5. What is the second derivative of d(j) wrt j?
-24*j**2 - 42*j
Let r(i) be the third derivative of 8*i**7/105 + 11*i**6/60 + i**5/15 + 1618*i**3 - 142*i**2 - 2*i - 20. Differentiate r(w) wrt w.
64*w**3 + 66*w**2 + 8*w
Let a = 179 - 177. Differentiate 157 + 48*x**3 - 1131*x**2 + 1131*x**a wrt x.
144*x**2
Suppose -p - 31 = 5*u, 2*p = -3*u - 0*p - 13. Let g be 2 + 16/u - (-60)/14. What is the derivative of 15*f**4 - g - 25*f**4 - 11*f**4 wrt f?
-84*f**3
Let m = -28 + 53. Let y be -2 - m/10*-2. Find the second derivative of 4*c + 4*c**4 - 4*c + 3*c - y*c**4 wrt c.
12*c**2
Let v be (51/(-2))/(-4 - (-296)/80). What is the third derivative of -27*r**2 + v*r**2 - 40*r**2 + 3 + 3 - 4 + 62*r**3 wrt r?
372
What is the third derivative of 12*u**4 + u - 18*u**5 - 2*u**3 + 18*u**4 - 1 - 130*u**2 + 17*u**4 - 41*u**4 + 2*u wrt u?
-1080*u**2 + 144*u - 12
Find the third derivative of -4873*r**6 - 6749*r**2 - 1393*r**5 - 1391*r**5 + 2784*r**5 wrt r.
-584760*r**3
Let p(l) = 2220*l**5 + 4*l**3 - 2197*l**2. Let d(q) = -10*q**5 + q**3. Let m(c) = 4*d(c) - p(c). What is the third derivative of m(v) wrt v?
-135600*v**2
Let s(d) be the second derivative of -2201*d**6/30 + 164*d**3 + 2132*d. Find the second derivative of s(v) wrt v.
-26412*v**2
Let t(m) = m**3 - m**2 + m. Let y be t(2). Suppose -4*h + 38 - y = 0. What is the second derivative of -h*z + 22*z**2 + 15*z - 4*z wrt z?
44
Differentiate -6*t**2 - 950*t**3 + t**2 + 1077*t**3 - t**2 - 2427 wrt t.
381*t**2 - 12*t
Let z(o) = -19222*o**2 + 141*o + 1138. Let h(b) = 9610*b**2 - 77*b - 569. Let x(k) = 11*h(k) + 6*z(k). What is the second derivative of x(j) wrt j?
-19244
Let d = 200 + -176. What is the second derivative of -2 - 15*l**3 + 46*l**3 + 22*l + 39*l + d*l**3 wrt l?
330*l
Let v(d) = -2079*d**3 - 12*d**2 + 19*d - 13. Let c(k) = -416*k**3 - 2*k**2 + 4*k - 3. Let z(f) = 11*c(f) - 2*v(f). What is the second derivative of z(q) wrt q?
-2508*q + 4
Suppose 0 = 3*k - 40 - 56. Let z be (-4)/(k/12)*-2. Find the third derivative of -5*x**6 + z*x**6 + 4*x**2 - 3*x**2 wrt x.
-240*x**3
What is the third derivative of -485461*h**3 - 1554*h**2 - 21*h**4 + 485468*h**3 - 10*h**4 wrt h?
-744*h + 42
Let z be (18291/(-42))/(1/(-2)). Find the third derivative of z - 43*x**3 - 869 + 74*x**2 + 2*x**2 wrt x.
-258
Let q be 0 - (-1)/(-4) - 122/(-8). What is the second derivative of 8*y**4 + 6*y**3 - 4*y + 0 - 18 + q wrt y?
96*y**2 + 36*y
Let n(w) be the first derivative of -159*w**4/4 - w**3/3 + 160*w - 1137. What is the first derivative of n(t) wrt t?
-477*t**2 - 2*t
Let z(a) = -a**2 - 5 + 6*a**2 + 3 - 3*a**2 - 3*a. Let o be z(4). What is the second derivative of 0*u**4 + o*u**4 - u**4 - u**4 + 6*u wrt u?
192*u**2
Let m(c) = 1574*c**2 + 3061*c - 15. Let z(t) = -3147*t**2 - 6120*t + 25. Let q(h) = -5*m(h) - 3*z(h). Find the second derivative of q(g) wrt g.
3142
Let a(r) = -36*r + 23. Let u(z) = -3 - 180*z + 60 + 24 + 34. Let c(m) = 11*a(m) - 2*u(m). What
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = -4*n - k*v - 756, -4*n + 2*v - 3*v = 756. Let m be 3/5 - 1 - n/135. Is m greater than 9/8?
False
Let q(r) = -r**3 - 4*r**2 + 3*r - 4. Let a(s) = 6*s. Let l be a(1). Suppose -3*t = -2*i + l*i + 32, 4*i = t - 16. Let m be q(i). Is m bigger than 25/4?
False
Let d = -330 - -88. Let g = 275 + d. Is g at least as big as 1?
True
Let y = -6155 - -6154.9. Let g = 27 - 27.47. Which is smaller: y or g?
g
Let u = 65 - 54. Let o = u - 7. Let r = -0.02 - -1.02. Is o <= r?
False
Let z be (931 + -932)/((-1291)/15). Which is bigger: z or 1?
1
Let g = 7039 - 6595. Is 442 greater than g?
False
Suppose i - 4*i = 15. Suppose 6*l - 105 = 141. Suppose 0 = 28*u + 127 + l. Which is smaller: u or i?
u
Let a = -137 - -89. Let s = -461.1 + 413. Let r = a - s. Is r at least as big as -11?
True
Let t(z) be the third derivative of z**6/120 + 4*z**5/15 + 3*z**3/2 - 11*z**2. Let u be t(-16). Suppose g = m - 9, -m - 4*g = -2*m + u. Is m bigger than 9?
False
Let g = -417 - -394. Is g less than or equal to -0.15?
True
Let w = -14078 - -168107/12. Let t = -69 - w. Do 0 and t have different values?
True
Suppose -15*t = 3*t + 15466 + 8690. Which is bigger: -1346 or t?
t
Let f = -3 - -47/7. Let s be (495/12)/(2/(-8)). Let g = -160 - s. Is g less than f?
False
Let p = 17/12 + -5/4. Suppose 2*f - 5*d = -34, -5*f - d = -2*d + 108. Let k = f + 22. Do p and k have the same value?
False
Let v(p) = 3*p**3 - 2*p - 1. Let c be v(-1). Let a = c + -1. Let n = -198 + 194. Is a bigger than n?
True
Let b = -56496 + 199939346/3539. Is b at least -1?
True
Let q = 982 + -985. Do -3.8 and q have different values?
True
Let b = -34 - 17. Let p be 4/12 - b/(-234). Is 0 at least p?
False
Let g = -24660 + 25686. Is g greater than or equal to 1021?
True
Let c = -131/324 - 1/81. Let i = 627 + -626. Is i less than c?
False
Let f be 6/33 + 18/22 + 2. Let h be (-2 + (-4)/(-3))/((-1)/f). Let o be -3 + h - ((-192)/(-18) + -5). Are o and -7 non-equal?
True
Let t(b) = -b**2 - 23*b + 14. Let f be t(-23). Suppose -f = l - 22. Suppose 15 = 9*y - l*y. Is 14 < y?
True
Let q(f) = -f**3 + 2*f**2 + 35*f + 1. Suppose 2*p - 20 = 3*z, -5*p + 30 + 2 = -3*z. Let w be q(z). Is -41 not equal to w?
True
Let d = 299 - 250. Suppose 88 - d = -13*k. Which is greater: k or -36/17?
-36/17
Let g = -37.61 - -37.7125. Is -0.1 > g?
False
Suppose 0 = -11*u + 5744 - 959. Suppose 36 = -u*r + 438*r. Which is smaller: 5 or r?
5
Let k = -21 + 117. Let i = 113 - k. Is i greater than 17?
False
Let z(f) = -25*f**3 - 11*f**2 + 10*f + 1. Let l be z(7). Let r = l - -2215531/245. Are 1 and r non-equal?
True
Let s be (0 + 1)/(((-15248)/(-192))/((-1)/(-4))). Is 2/9 <= s?
False
Suppose -4*f + 17 = -5*b, 4*b + 2*f - 8 = -2*f. Let n be (-4855602)/(-10868) + (-2)/(-11). Let x = n - 447. Which is bigger: b or x?
x
Let n be (-152)/(-26) + (-10)/(-65). Let f be (-33)/(-88) + (0 - 5/n). Which is bigger: 1 or f?
1
Let j be -3953 - 11 - (-2)/(4/6). Let s = -304988/77 - j. Is 0 less than or equal to s?
True
Let t = 3.651 - 1.651. Is 42/11 at most as big as t?
False
Suppose -4 + 228 = 14*x. Suppose x = t + 35. Which is bigger: t or -24?
t
Suppose -2*m - m - 19 = -k, -28 = -2*k + 4*m. Suppose -9*o - 286 = -k*o + 2*q, q + 3 = 0. Which is greater: o or -57?
o
Let y(i) be the first derivative of i**6/360 - 17*i**5/120 + 23*i**4/24 - 14*i**3/3 + 2. Let t(d) be the third derivative of y(d). Let m be t(16). Is m > 9?
False
Let o = -34.068 - -0.068. Let v = o - -2. Let u = -15 - v. Which is greater: 2 or u?
u
Let f be 5 + -7 - (-33)/(-3). Suppose -2*k - 25 = 4*z + 13, k = 2*z - 7. Is k at least f?
True
Let r(f) = 2*f**3 + 16*f**2 + 14*f - 2. Let y be r(-7). Let h = -4 + 9. Suppose h*z = -21 - 94. Which is bigger: z or y?
y
Suppose -4*o = -69 - 3. Suppose -2*g = -5*k + 11, 3*k + 33 - 44 = -g. Suppose -g*w + o = 2*t, 0 = 5*w + 3*t - 89 + 36. Are 12 and w equal?
False
Let p be 16/1 + (-1 - 3). Let w be (13/3)/(4/p). Let q(z) = -z**3 + 12*z**2 + 12*z + 17. Let b be q(w). Which is bigger: 8 or b?
8
Let c be ((4/2)/((-6)/(-501)))/1. Let l(q) = 30*q - 41. Let p be l(7). Is p <= c?
False
Let c be (-40)/30*(1747 - 0 - 1). Which is bigger: -2327 or c?
-2327
Let t be (-3 + 4)/(3/75) - 2. Let m = -21 + t. Suppose -2*o = 6, x - 4*o + 9 = -m*x. Which is smaller: x or -5?
x
Let c be ((-135960)/(-242) + (-6)/(-33))/2. Is c smaller than 3/8?
False
Let s = 17956/23 - 782. Let v = 164/161 + s. Which is greater: 3/10 or v?
3/10
Let s(h) = -h**2 + 27*h - 197. Let x be s(-42). Do -3093 and x have different values?
True
Let d be (-9596)/(48/((-72)/6)). Is 2401 >= d?
True
Let o(m) = 10*m + 75. Let l be o(-7). Suppose 5*p + 24 = -a, -2*a = l*p - 7*a. Which is smaller: p or 17?
p
Let u(k) = k**3 - 6*k**2 - 16*k. Let s be u(8). Suppose s = -53*x + 58*x - 205. Is 41 at least x?
True
Suppose 2*k - 20 = -2*k. Suppose 2*j = -5*n + 206, 0*n - 5*n + k*j = -185. Let m = n - 42. Which is smaller: m or 2?
m
Let c = -4903 + 19615/4. Which is bigger: -12/7 or c?
c
Let g(i) = i**3 - 18*i**2 + 30*i + 35. Let n be g(16). Suppose 4*s + n = -9. Let q = -167/52 + 19/13. Which is greater: q or s?
q
Let d = 4514 + -4578. Do d and 1.1 have the same value?
False
Suppose -4*n - 4*z = -210 + 198, 0 = -5*n + 4*z - 12. Is n less than or equal to 1/2583?
True
Let n be (48/30 - 2)/(14/35). Is n at least as big as 11/424?
False
Let z be (-9)/(-45)*(-1 - 2610/(-2634)). Is -1 at least z?
False
Let l = -0.1178 - -411.1178. Is l at least -10?
True
Let z = 58/3 + -19. Let v = 16702 + -16753. Is z at least v?
True
Let d(p) = -289*p - 8964. Let r be d(-29). Which is smaller: -588 or r?
-588
Let x = 11411 - -12998. Is 24410 greater than or equal to x?
True
Let p be (-6)/(-39) - 836/26. Let w be -7*(p/63 + (-4)/(-18)). Let a be (177/30 - 5)*w. Is a < 3?
True
Let k = 5392 - 5388.3. Which is bigger: k or -60?
k
Suppose 14 - 10 = 4*k. Suppose -4*a + 8*b - 3*b + 77 = 0, 5*b = -2*a + k. Let y be (-9)/(-11) - (4 - 184/44). Is a at least y?
True
Let z(v) = -v**2 - 25*v + 31. Let o be z(-26). Suppose -4*l + 0*i + 3*i - 11 = 0, -o*l = -3*i + 10. Which is smaller: -2/87 or l?
-2/87
Let l be (-53 - (-4308)/84)/((-22)/(-28) + -1). Which is smaller: 217/23 or l?
l
Let v(f) = -28*f**2 + f - 41. Let d be v(9). Are -0.1 and d unequal?
True
Let a = 4.16 - 0.66. Let i = -62 + 31.5. Let d = i + a. Which is bigger: -2 or d?
-2
Suppose -16937 = -10*u - 1137. Let n = u - 2468. Let b = n + 5291/6. Are b and -6 nonequal?
True
Let b = 345 - 325. Let y = -32 - -36. Is b smaller than y?
False
Let u(v) = v**3 - 17*v**2 - 82*v - 7. Let t be u(-4). Which is smaller: -139/9 or t?
-139/9
Let w be 576/(-108)*(-54)/(-3). Is -114 <= w?
True
Let w be ((-264)/32 - -7) + (-1821)/(-84). Let o(n) = -3*n**2 - 16*n + 14. Let q be o(-5). Are q and w non-equal?
True
Let v(h) = h**2 + 17*h + 36. Let m be v(-2). Let l(d) = -8*d + 2 + 4*d + 20 + 7. Let q be l(m). Which is greater: q or 2?
q
Let y = 715.617 + -4.617. Which is bigger: y or -1/2?
y
Suppose 21*c - 6960 = 90*c - 29*c. Which is smaller: c or -176?
-176
Let o = 19900 + -19846. Is o <= 52?
False
Let x(w) = -13*w**2 + 12*w - 12. Let d be x(1). Do d and -14 have different values?
True
Let g = 12/29 + 793/116. Let f = 135 + -128. Let s = g - f. Which is smaller: s or 7/2?
s
Let w(c) = c**3 + 24*c**2 - 5*c + 349. Let n be w(-21). Are 1776 and n nonequal?
True
Let a = -9.91 + -489.09. Let f = a - -499.1. Is f less than 23.8?
True
Let p = 1768 + -1769. Which is bigger: 22/125 or p?
22/125
Let v = -187 + 173.6. Let w = v + 12.9. Which is greater: w or -13?
w
Let c be (-1)/(-6) + (31886/(-84))/(-107). Which is bigger: c or -7/3?
c
Suppose -343*n + q = -344*n - 11, -5*q = -n + 61. Let p = 293 - 1763/6. Let k = p + 31/12. Which is smaller: n or k?
n
Let x be -4 - 216/(-52) - (-320408)/104. Is x less than 3083?
True
Let n = 857 + -463. Let m = n - 446. Which is bigger: -0.3 or m?
-0.3
Suppose 3*d = 5*z + 5, -2*d - 3 = -13. Suppose 0 = 2*s - z + 18. Suppose 0 = -b - 144 + 143. Are b and s unequal?
True
Let z = 9.05 + -9. Let v = -19.4 + 19.45. Let c = z - v. Is c <= 9?
True
Suppose 2*w = -4*b + 4006, 0 = 2*b + 454*w - 449*w - 2007. Which is greater: b or -3?
b
Suppose 12*y + 3117 = -p + 7*y, -4*p - 12438 = 5*y. Which is bigger: -3108 or p?
p
Let t = 3503/7 + -5972643/11935. Is t not equal to 1?
True
Let p be (-1623)/54 + 6/108
|
{
"pile_set_name": "DM Mathematics"
}
|
What are the prime factors of 633?
3, 211
What are the prime factors of 51610?
2, 5, 13, 397
List the prime factors of 8866.
2, 11, 13, 31
List the prime factors of 673.
673
What are the prime factors of 465?
3, 5, 31
What are the prime factors of 1383?
3, 461
What are the prime factors of 171?
3, 19
List the prime factors of 58309.
58309
What are the prime factors of 10034?
2, 29, 173
List the prime factors of 1248.
2, 3, 13
List the prime factors of 8162.
2, 7, 11, 53
What are the prime factors of 13327?
13327
What are the prime factors of 711?
3, 79
What are the prime factors of 1418?
2, 709
List the prime factors of 582.
2, 3, 97
What are the prime factors of 486?
2, 3
What are the prime factors of 23551?
11, 2141
What are the prime factors of 162133?
73, 2221
List the prime factors of 1143.
3, 127
List the prime factors of 421.
421
List the prime factors of 309.
3, 103
What are the prime factors of 35?
5, 7
List the prime factors of 21977.
21977
What are the prime factors of 171536?
2, 71, 151
What are the prime factors of 22968?
2, 3, 11, 29
What are the prime factors of 1058?
2, 23
What are the prime factors of 94693?
94693
What are the prime factors of 3009?
3, 17, 59
What are the prime factors of 5857?
5857
List the prime factors of 22531.
22531
What are the prime factors of 4828?
2, 17, 71
What are the prime factors of 16795?
5, 3359
List the prime factors of 7341.
3, 2447
List the prime factors of 2095.
5, 419
What are the prime factors of 703?
19, 37
List the prime factors of 966.
2, 3, 7, 23
What are the prime factors of 17982?
2, 3, 37
What are the prime factors of 42470?
2, 5, 31, 137
List the prime factors of 40501.
101, 401
List the prime factors of 11370.
2, 3, 5, 379
What are the prime factors of 10278?
2, 3, 571
List the prime factors of 70201.
70201
What are the prime factors of 6374?
2, 3187
List the prime factors of 842.
2, 421
List the prime factors of 6422.
2, 13, 19
What are the prime factors of 23147?
79, 293
List the prime factors of 5112.
2, 3, 71
List the prime factors of 12998.
2, 67, 97
List the prime factors of 994.
2, 7, 71
What are the prime factors of 1642?
2, 821
What are the prime factors of 36021?
3, 12007
What are the prime factors of 14527?
73, 199
What are the prime factors of 9925?
5, 397
List the prime factors of 191982.
2, 3, 7, 653
List the prime factors of 20546.
2, 10273
List the prime factors of 10861.
10861
List the prime factors of 10258.
2, 23, 223
What are the prime factors of 2597?
7, 53
List the prime factors of 10530.
2, 3, 5, 13
What are the prime factors of 2707?
2707
What are the prime factors of 3861?
3, 11, 13
What are the prime factors of 1647?
3, 61
What are the prime factors of 1991?
11, 181
List the prime factors of 388.
2, 97
List the prime factors of 49570.
2, 5, 4957
What are the prime factors of 89?
89
What are the prime factors of 93179?
93179
List the prime factors of 3874.
2, 13, 149
List the prime factors of 35557.
31, 37
List the prime factors of 6988.
2, 1747
List the prime factors of 24459.
3, 31, 263
What are the prime factors of 17460?
2, 3, 5, 97
List the prime factors of 1263.
3, 421
What are the prime factors of 5304?
2, 3, 13, 17
What are the prime factors of 12512?
2, 17, 23
What are the prime factors of 4629?
3, 1543
List the prime factors of 501.
3, 167
What are the prime factors of 49440?
2, 3, 5, 103
What are the prime factors of 81?
3
List the prime factors of 83495.
5, 16699
What are the prime factors of 102611?
102611
List the prime factors of 3210.
2, 3, 5, 107
List the prime factors of 42657.
3, 59, 241
List the prime factors of 3101.
7, 443
List the prime factors of 11848.
2, 1481
What are the prime factors of 1548?
2, 3, 43
What are the prime factors of 4343?
43, 101
List the prime factors of 2022.
2, 3, 337
List the prime factors of 894.
2, 3, 149
List the prime factors of 8330.
2, 5, 7, 17
List the prime factors of 27293.
7, 557
What are the prime factors of 3212?
2, 11, 73
What are the prime factors of 561?
3, 11, 17
What are the prime factors of 1104?
2, 3, 23
List the prime factors of 92421.
3, 7, 163
List the prime factors of 3643.
3643
List the prime factors of 784.
2, 7
List the prime factors of 11904.
2, 3, 31
What are the prime factors of 217?
7, 31
What are the prime factors of 22818?
2, 3, 3803
List the prime factors of 65034.
2, 3, 3613
What are the prime factors of 827?
827
What are the prime factors of 1042?
2, 521
What are the prime factors of 15579?
3, 577
List the prime factors of 7740.
2, 3, 5, 43
What are the prime factors of 1352?
2, 13
What are the prime factors of 5520?
2, 3, 5, 23
List the prime factors of 1006.
2, 503
What are the prime factors of 110571?
3, 36857
List the prime factors of 2666.
2, 31, 43
What are the prime factors of 1686?
2, 3, 281
List the prime factors of 1794.
2, 3, 13, 23
What are the prime factors of 48608?
2, 7, 31
List the prime factors of 13849.
11, 1259
List the prime factors of 11410.
2, 5, 7, 163
List the prime factors of 120218.
2, 7, 31, 277
List the prime factors of 4241.
4241
What are the prime factors of 32719?
32719
List the prime factors of 27558.
2, 3, 1531
What are the prime factors of 49596?
2, 3, 4133
What are the prime factors of 31949?
43, 743
List the prime factors of 10990.
2, 5, 7, 157
List the prime factors of 1912.
2, 239
What are the prime factors of 5437?
5437
What are the prime factors of 7807?
37, 211
What are the prime factors of 19113?
3, 23, 277
What are the prime factors of 33088?
2, 11, 47
List the prime factors of 7120.
2, 5, 89
List the prime factors of 16995.
3, 5, 11, 103
What are the prime factors of 2778?
2, 3, 463
What are the prime factors of 5340?
2, 3, 5, 89
What are the prime factors of 647?
647
List the prime factors of 26237.
26237
List the prime factors of 7277.
19, 383
What are the prime factors of 153568?
2, 4799
What are the prime factors of 82486?
2, 41243
List the prime factors of 5933.
17, 349
What are the prime factors of 1514?
2, 757
List the prime factors of 1769.
29, 61
List the prime factors of 978.
2, 3, 163
List the prime factors of 774.
2, 3, 43
List the prime factors of 2669.
17, 157
List the prime factors of 1343.
17, 79
List the prime factors of 4898.
2, 31, 79
List the prime factors of 1970.
2, 5, 197
List the prime factors of 12934.
2, 29, 223
What are the prime factors of 5255?
5, 1051
What are the prime factors of 13393?
59, 227
List the prime factors of 23559.
3, 7853
List the prime factors of 58650.
2, 3, 5, 17, 23
List the prime factors of 71826.
2, 3, 11971
What are the prime factors of 44710?
2, 5, 17, 263
What are the prime factors of 1504?
2, 47
What are the prime factors of 4107?
3, 37
List the prime factors of 4321.
29, 149
What are the prime factors of 3579?
3, 1193
List the prime factors of 15067.
13, 19, 61
List the prime factors of 2218.
2, 1109
List the prime factors of 1020.
2, 3, 5, 17
List the prime factors of 55927.
55927
What are the prime factors of 22077?
3, 11, 223
What are the prime factors of 1432?
2, 179
List the prime factors of 5964.
2, 3, 7, 71
List the prime factors of 1319.
1319
List the prime factors of 1169.
7, 167
What are the prime factors of 386?
2, 193
List the prime factors of 477.
3, 53
List the prime factors of 3249.
3, 19
What are the prime factors of 73114?
2, 139, 263
List the prime factors of 2199.
3, 733
What are the prime factors of 49017?
3, 16339
What are the prime factors of 14243?
14243
List the prime factors of 848.
2, 53
List the prime factors of 3550.
2, 5, 71
List the prime factors of 25237.
25237
List the prime factors of 109079.
19, 5741
What are the prime factors of 1000?
2, 5
List the prime factors of 488.
2, 61
List the prime factors of 31244.
2, 73, 107
List the prime factors of 150862.
2, 75431
What are the prime factors of 68658?
2, 3, 11443
List the prime factors of 13804.
2, 7, 17, 29
What are the prime factors of 5614?
2, 7, 401
What are the prime factors of 64704?
2, 3, 337
What are the prime factors of 96465?
3, 5, 59, 109
What are the prime factors of 1445?
5, 17
What are the prime factors of 55397?
31, 1787
What are the prime factors of 17922?
2, 3, 29, 103
What are the prime factors of 24276?
2, 3, 7, 17
What are the prime factors of 53804?
2, 13451
List the prim
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of 100?
2, 5
List the prime factors of 63011.
13, 37, 131
List the prime factors of 61447.
43, 1429
What are the prime factors of 13500?
2, 3, 5
List the prime factors of 1048.
2, 131
What are the prime factors of 3444?
2, 3, 7, 41
List the prime factors of 2326.
2, 1163
List the prime factors of 2324.
2, 7, 83
List the prime factors of 4463.
4463
List the prime factors of 12685.
5, 43, 59
List the prime factors of 1162.
2, 7, 83
What are the prime factors of 85?
5, 17
What are the prime factors of 3621?
3, 17, 71
What are the prime factors of 438?
2, 3, 73
List the prime factors of 315.
3, 5, 7
List the prime factors of 9311.
9311
What are the prime factors of 716?
2, 179
List the prime factors of 1025.
5, 41
What are the prime factors of 58127?
37, 1571
What are the prime factors of 78104?
2, 13, 751
List the prime factors of 2204.
2, 19, 29
List the prime factors of 26938.
2, 13469
List the prime factors of 215.
5, 43
List the prime factors of 1790.
2, 5, 179
List the prime factors of 18360.
2, 3, 5, 17
What are the prime factors of 3298?
2, 17, 97
List the prime factors of 3753.
3, 139
What are the prime factors of 10160?
2, 5, 127
List the prime factors of 17362.
2, 8681
List the prime factors of 49579.
43, 1153
List the prime factors of 6513.
3, 13, 167
What are the prime factors of 4163?
23, 181
What are the prime factors of 355?
5, 71
List the prime factors of 1583.
1583
What are the prime factors of 159?
3, 53
List the prime factors of 8745.
3, 5, 11, 53
What are the prime factors of 36525?
3, 5, 487
What are the prime factors of 36851?
43, 857
What are the prime factors of 1606?
2, 11, 73
List the prime factors of 126371.
7, 2579
List the prime factors of 1575.
3, 5, 7
List the prime factors of 1550.
2, 5, 31
List the prime factors of 14.
2, 7
List the prime factors of 48035.
5, 13, 739
List the prime factors of 17356.
2, 4339
List the prime factors of 27593.
41, 673
List the prime factors of 1112.
2, 139
List the prime factors of 1115.
5, 223
List the prime factors of 2713.
2713
List the prime factors of 2626.
2, 13, 101
List the prime factors of 127875.
3, 5, 11, 31
What are the prime factors of 24150?
2, 3, 5, 7, 23
List the prime factors of 1233.
3, 137
List the prime factors of 7310.
2, 5, 17, 43
What are the prime factors of 3277?
29, 113
What are the prime factors of 10174?
2, 5087
What are the prime factors of 800?
2, 5
List the prime factors of 50176.
2, 7
List the prime factors of 13658.
2, 6829
What are the prime factors of 30500?
2, 5, 61
What are the prime factors of 578?
2, 17
List the prime factors of 1483.
1483
What are the prime factors of 41111?
7, 839
List the prime factors of 268.
2, 67
List the prime factors of 266.
2, 7, 19
List the prime factors of 13166.
2, 29, 227
List the prime factors of 1768.
2, 13, 17
What are the prime factors of 181?
181
What are the prime factors of 5891?
43, 137
What are the prime factors of 13255?
5, 11, 241
What are the prime factors of 2813?
29, 97
What are the prime factors of 28569?
3, 89, 107
What are the prime factors of 2640?
2, 3, 5, 11
List the prime factors of 996.
2, 3, 83
List the prime factors of 103.
103
What are the prime factors of 5258?
2, 11, 239
List the prime factors of 6234.
2, 3, 1039
What are the prime factors of 513?
3, 19
What are the prime factors of 997?
997
List the prime factors of 3279.
3, 1093
What are the prime factors of 1053?
3, 13
List the prime factors of 11287.
11287
List the prime factors of 4900.
2, 5, 7
What are the prime factors of 2002?
2, 7, 11, 13
List the prime factors of 1106.
2, 7, 79
What are the prime factors of 1205?
5, 241
What are the prime factors of 24033?
3, 8011
What are the prime factors of 25901?
59, 439
What are the prime factors of 3908?
2, 977
What are the prime factors of 2364?
2, 3, 197
What are the prime factors of 3256?
2, 11, 37
What are the prime factors of 486?
2, 3
List the prime factors of 6605.
5, 1321
List the prime factors of 6783.
3, 7, 17, 19
What are the prime factors of 2703?
3, 17, 53
List the prime factors of 6217.
6217
List the prime factors of 4022.
2, 2011
List the prime factors of 10263.
3, 11, 311
List the prime factors of 5939.
5939
What are the prime factors of 5226?
2, 3, 13, 67
List the prime factors of 327.
3, 109
What are the prime factors of 8294?
2, 11, 13, 29
What are the prime factors of 147685?
5, 29537
What are the prime factors of 20178?
2, 3, 19, 59
What are the prime factors of 838?
2, 419
What are the prime factors of 4852?
2, 1213
What are the prime factors of 874?
2, 19, 23
What are the prime factors of 5110?
2, 5, 7, 73
List the prime factors of 53999.
11, 4909
What are the prime factors of 2984?
2, 373
What are the prime factors of 44994?
2, 3, 7499
List the prime factors of 2505.
3, 5, 167
What are the prime factors of 2118?
2, 3, 353
What are the prime factors of 14129?
71, 199
What are the prime factors of 8926?
2, 4463
What are the prime factors of 78508?
2, 19, 1033
List the prime factors of 27009.
3, 3001
What are the prime factors of 129898?
2, 107, 607
What are the prime factors of 830?
2, 5, 83
What are the prime factors of 6182?
2, 11, 281
List the prime factors of 4978.
2, 19, 131
What are the prime factors of 1825?
5, 73
What are the prime factors of 16752?
2, 3, 349
List the prime factors of 109740.
2, 3, 5, 31, 59
List the prime factors of 3854.
2, 41, 47
What are the prime factors of 81265?
5, 16253
List the prime factors of 2243.
2243
List the prime factors of 4098.
2, 3, 683
List the prime factors of 11.
11
What are the prime factors of 2717?
11, 13, 19
What are the prime factors of 72266?
2, 23, 1571
List the prime factors of 58959.
3, 6551
What are the prime factors of 865?
5, 173
What are the prime factors of 113056?
2, 3533
List the prime factors of 3280.
2, 5, 41
List the prime factors of 728.
2, 7, 13
What are the prime factors of 1460?
2, 5, 73
List the prime factors of 354.
2, 3, 59
What are the prime factors of 12349?
53, 233
What are the prime factors of 96282?
2, 3, 1783
List the prime factors of 1686.
2, 3, 281
List the prime factors of 87040.
2, 5, 17
What are the prime factors of 384?
2, 3
List the prime factors of 1543.
1543
List the prime factors of 555.
3, 5, 37
List the prime factors of 4304.
2, 269
What are the prime factors of 19883?
59, 337
What are the prime factors of 70298?
2, 35149
List the prime factors of 2141.
2141
List the prime factors of 101377.
101377
What are the prime factors of 25944?
2, 3, 23, 47
What are the prime factors of 675?
3, 5
List the prime factors of 7136.
2, 223
List the prime factors of 670.
2, 5, 67
What are the prime factors of 24709?
24709
List the prime factors of 502.
2, 251
What are the prime factors of 2812?
2, 19, 37
What are the prime factors of 588?
2, 3, 7
List the prime factors of 26779.
61, 439
List the prime factors of 8923.
8923
List the prime factors of 8761.
8761
What are the prime factors of 35356?
2, 8839
What are the prime factors of 5354?
2, 2677
What are the prime factors of 3466?
2, 1733
List the prime factors of 2872.
2, 359
What are the prime factors of 7442?
2, 61
What are the prime factors of 959?
7, 137
What are the prime factors of 43375?
5, 347
List the prime factors of 1408.
2, 11
What are the prime factors of 50256?
2, 3, 349
What are the prime factors of 19079?
19079
List the prime factors of 37472.
2, 1171
List the prime factors of 1640.
2, 5, 41
What are the prime factors of 13504?
2, 211
What are the prime factors of 33122?
2, 16561
List the prime factors of 5149.
19, 271
What are the prime factors of 13757?
13757
What are the prime factors of 4541?
19, 239
What are the prime factors of 973?
7, 139
List the prime factors of 912.
2, 3, 19
List the prime factors of 11417.
7, 233
What are the prime factors of 89909?
89909
What are the prime factors of 346?
2, 173
What are the prime factors of 1595?
5, 11, 29
List the prime factors of 18712.
2, 2339
List the prime factors of 602.
2, 7, 43
List the prime factors of 8052.
2, 3, 11, 61
List the prime factors of 1582.
2, 7, 113
What are the prime factors of 13939?
53, 263
What are the prime factors of 495?
3, 5, 11
List the prime factors of 2416.
2, 151
List the prime factors of 1236.
2, 3, 103
What are the prime factors of 4265?
|
{
"pile_set_name": "DM Mathematics"
}
|
e i - b*i = -2. Solve z - i*l - 6 = 3*l, l = -5*z + r for z.
1
Suppose 0 = 2*n - 4, -3*u + 40 = -4*n - 21. Solve -2*d + u = -d + 5*y, -5*d + 5*y - 5 = 0 for d.
3
Suppose 4*o + 3*v = o + 9, -2*v - 6 = -4*o. Suppose -5 = -0*y + 5*y, 0 = -p + 2*y. Let x be (o/(-6))/(p/12). Solve -15 = 3*s + x*s - 4*k, s + 14 = 3*k for s.
1
Let s(r) = 7*r**3 - r**2. Suppose 2 = -4*p + 6. Let k be s(p). Solve -k = -4*n - n + 3*j, 2*n + 5*j = 21 for n.
3
Suppose 43 = 4*p - 49. Solve 2*b - 17 = -2*b - 3*o, 2*o = -5*b + p for b.
5
Suppose 6 = l - 3*r, 0*l + 4*r + 22 = 2*l. Suppose 0 = -8*n + l + 91. Solve 2*j - 4*t = -n, 5*j + t - 1 = 2*t for j.
1
Let d(p) = p + 3. Suppose 9 = -m + 12. Let x be m/(-12) - 45/(-20). Let i be d(x). Solve 2*l = -0*l + i*g + 10, 2*g = -4 for l.
0
Let n = 22 - 22. Suppose n = j + 5, -4*o + j + 20 = o. Suppose -4*a = -w - 32, -3*a - o*w = -a - 30. Solve -5*y - 5*d + 2*d = 14, 3*y - 4*d - a = 0 for y.
-1
Suppose 27*r - 3*r - 72 = 0. Solve -r*t - f - 29 = 4*f, -4 = 4*t - 2*f for t.
-3
Let x be (-1 + 4)*(-16)/(-6). Let y = 10 - x. Suppose 0 = 3*w - 4*w + 3*p + 20, 3*w = -3*p. Solve 3*l = 5*g - 18, -w*l = -l + 2*g - y for l.
-1
Suppose 3*t - 1 - 5 = 0. Suppose -5*s + t*d + 2*d = -24, 0 = 2*s - 3*d - 4. Solve -4*k + 8 = -w, -w + s = 2*w + 4*k for w.
0
Let y = -1 + 5. Suppose 0 = -5*o + 3*m + 54 - 14, 25 = o - y*m. Let f be -5*(-1 - 5)/6. Solve i + 3*r = -2*r + 1, 5 = o*i - f*r for i.
1
Let s be 309/(-103)*(1 - (-12)/(-2)). Solve 0 = 3*a + 3*l + s, -2*l - 7 = -a + 3 for a.
0
Let c(p) = -p**3 + 22*p**2 + 2. Let k be c(22). Solve -m - 3*m + 2 = 3*f, -k*f - 4*m = 0 for f.
2
Suppose 53*w - 44 = 31*w. Solve -3*u = -q - 6 + w, -4*u = 5*q - 18 for q.
2
Let v(j) = j**2 + 16*j + 16. Let o be v(-15). Suppose 4*r + 3*l + o = 0, 2*l - 2 = r - 5*r. Solve 2*m - 10 = -m + r*d, -m + 2*d + 6 = 0 for m.
2
Let u = -210 + 215. Solve -u*d = -3*g - 16, 2*d = 4*g - d + 3 for g.
3
Let r be (640/192)/((-10)/(-12)). Let k be (-10)/(-3) - (-2)/(-6). Solve k*m + 4*d - 2 = 0, r*m + 7*d - 4 = 3*d for m.
2
Suppose -2*d - 3*d = -345. Suppose 4*a = d - 25. Solve 5*h + 4*t = -25, 4*t - t + a = 4*h for h.
-1
Let u = 542 + -538. Solve 2*n + 2*v + 25 = -n, -u*v - 15 = -n for n.
-5
Let q be 11/22 - (-22)/4. Solve -5*w + 25 = 4*m, 5*w + q*m = m + 25 for w.
5
Suppose -2*h - h = -9. Let f = 675 + -670. Solve 0 = 3*p - 4*k + f, -2*p - k + 18 = h for p.
5
Suppose 4*q - 3*q = -2*i - 52, 4*i - 3*q = -84. Let f = i + 55. Solve 4*b = -5*z - f, -1 + 3 = -2*z + b for z.
-3
Let t be 2*9/6 + -2. Let a be (4/2)/(0 + t). Suppose 0 = 3*b - a*c + 5 - 19, 4*b - 3*c - 19 = 0. Solve 5*x + 5 = -3*w, -5*x - 4 = -x - b*w for x.
-1
Let j be 194/4 + (-2)/4. Let d = -33 + j. Let g = d - 12. Solve 14 = g*k - 2*r, 3*k + k = -2*r + 14 for k.
4
Let c = 426 - 424. Solve -2*o - c*p = o + 5, -12 = 3*p for o.
1
Suppose 0 = 10*l - 870 + 840. Solve 0 = 2*g + l*g + 2*m + 31, 22 = -5*g + m for g.
-5
Suppose -c - i - 1 = 0, i - 11 = 2*c - 21. Solve -g - g = -5*k - 20, -16 = 4*k - c*g for k.
-4
Let i = -28 + -7. Let g = 35 + i. Solve 0 = -3*n - 9, 3*n + g + 4 = q for q.
-5
Suppose 124*t - 126*t + 10 = 0. Solve -3*j - 4*x - 19 = 0, 2 = 2*j - t*x + 7 for j.
-5
Let t = -91 + 70. Let u = t - -24. Solve 4*p + 2 = u*p, 4*c = p - 6 for c.
-2
Let d = -5 + 1. Let g be (0 - 0)/(d - -2). Suppose -w - 2*w = 4*r - 18, 2*w - 4 = g. Solve -f = -r*k + 14, 0 = -f + 2*f + 2*k - 11 for f.
1
Let f be ((-2)/3)/(-5*(-7)/(-210)). Let h = -25 - -28. Let p(j) = j**3 + 1. Let m be p(-1). Solve 2*w - h*i - 18 = 0, 2*i = f*w - m*i - 20 for w.
3
Let a = 167 + -165. Solve 3 = -3*l + r + a*r, -3*l + 4*r = 2 for l.
-2
Suppose 6*t - 11*t = 5*z - 100, 4*t - 57 = -3*z. Solve -2*j - 2*j + z = -5*y, -4*y + j = 14 for y.
-3
Let s = 389 - 372. Solve 5*z + s = -r, -2*z + 2*r - 3 + 1 = 0 for z.
-3
Let f(d) = -d**3 - 2*d**2 - 2*d - 1. Let c be f(-1). Suppose 0 = -c*s - 5*s - 20, 0 = -5*j + s + 24. Solve -3*b - 11 = -0*b + w, -4*b - 36 = -j*w for b.
-5
Let w be (-8)/(-3) + (2 - (-24)/(-9)). Suppose h - 21 = -2. Suppose -2 = -p - 4*b, 3*p - b = -0*p + h. Solve 10 = -w*u + 4*k, k - 4*k + p = -2*u for u.
3
Let p(u) = -3*u - 85. Let z(t) = -t**2 + 4*t - 9. Let x be z(7). Let r be p(x). Solve r*k + 5 = -l - 10, 4*l = -5*k for l.
5
Let m = 198 + -194. Solve 5*n + c + 13 = 0, m*c - 6*c - 4 = -n for n.
-2
Let d(l) = 3*l + 1. Let m be d(3). Let p be m/(-55) + 92/22. Solve 4*h = -3*s + h + 3, 2*s - p*h - 2 = 0 for s.
1
Let j = -90 - -97. Suppose -4 = -j*d + 5*d. Solve d*w - 5*p + 5 = 0, -w = 2*w - 3*p - 6 for w.
5
Let i = -162 + 307. Let c = i + -132. Solve -5*m - 15 = 5*s + 5, c = -2*s - 3*m for s.
1
Let u = 101 + -99. Solve x - 1 = -2*i, -i + x + u = 2*x for i.
-1
Let a = -56 + 80. Let t = 43 - a. Let f = t - 15. Solve 0 = f*x - 2*q + 12, 4*q = -x - 0*q + 15 for x.
-1
Suppose 250 - 100 = 30*a. Solve 3 = -2*o + x, -a + 0 = 2*o + x for o.
-2
Let b(l) = l**3 - 2*l**2 + 2*l - 1. Let y be b(2). Suppose y*f + 2*c = 5, -3 = 2*c + 1. Solve -2*a - 9 + 4 = f*g, 0 = -g - 2*a - 3 for g.
-1
Let d = -48 - -46. Let y(c) = 2 - 3*c**2 + 3 + c - 2*c**3 - 3. Let v be y(d). Solve -v*l - 3*m - 7 = l, 3*m = -2*l - 10 for l.
1
Let m(y) = -2*y + 2*y + y**2 - 3*y + 0*y**2. Let z be m(4). Solve -4*x = -9*x - g - 19, z*x + 8 = g for x.
-3
Let n be (1 - 2)/((-4)/36). Suppose 7 = 8*u - n. Solve 3*k + 3*a = 12, -k + 3*a = -2*k + u for k.
5
Let v be (-1)/(-2)*(5 - -3). Solve 2*i - 30 = v*l, 5*l = -5*i + 3*l + 15 for i.
5
Suppose 0 = 2*z + 2*o - 10, -4*z = -5*o + 6 - 17. Suppose 7*g = 2*g - 20. Let a = g - -8. Solve 0 = -z*m - a, -m + 0*m - 13 = 4*r for r.
-3
Let n(y) = -y. Let p be n(-2). Let a be (16/(-28))/(p/(-7)). Suppose -t + 0 = -4*j + 3, a*t - 8 = j. Solve j*w = 6*v - 3*v - 19, 2*v = -3*w + 4 for w.
-2
Let p be 3/(-5) + (-1056)/15. Let c = p - -74. Solve 3*k + c*h - 7 = 17, 5*k - 10 = h for k.
3
Suppose 2*h = -2*h. Let v(k) = -127*k - 3*k**2 - 3*k**3 + 66*k + 2 + k**3 + 62*k. Let f be v(-2). Solve -f = 2*l - l - u, h = -5*l - u - 8 for l.
-2
Let h = 1 - -14. Let p be 40/h - 4/6. Solve -k - 3*k - p = -2*b, -2*b = 3*k - 9 for k.
1
Suppose -69*w = -212*w + 429. Suppose 5*z = 144 - 49. Solve 4*o = -2*l - 14, w*l + 5*o = -0*l - z for l.
-3
Suppose 4*p = 3*p - 3*c + 4, 4*c = -p. Suppose -4*v = -0*v - p. Solve 3*q = v*g + 6*q - 13, 3*q = 9 for g.
1
Let k = 309 - 305. Solve 4*g = -k*t, 0 = -g - 5*t + 33 - 13 for g.
-5
Let h be 26/2 - (0 - 2). Suppose h = -0*f - 5*f. Let u(i) = i**3 + 4*i**2 + 4*i + 3. Let y be u(f). Solve 2*k + 0*z - 4*z + 6 = y, -1 = -z for k.
-1
Let n be 9/(36/16) + -3. Solve 3*p = -5*w + n - 8, -3*w - 2*p - 5 = 0 for w.
1
Let g(z) = -z - 9. Let r be g(-6). Let p be (-1)/r*-1 + 28/12. Let k be ((-2)/4)/((-2)/20). Solve u - 3 = c, -p*u = -k*u + 3 for c.
-2
Suppose -v - 2*v - 6 = 0, h - 18 = -4*v. Let o = h + -12. Solve 3*s + 13 + 0 = 5*a, -4*s - o = -5*a for a.
2
Let f = -2518 + 2536. Solve -t = 4*g - f, 3*t + 3*g - 21 = -3 for t.
2
Let q be ((-45)/10 - -5)*(-2 - 0). Let c(r) = -r**2 + 5*r. Let m be c(4). Let z be 13 + 4/q - m. Solve -z*w + 23 = -2*o, 3*o + 1 = -3*w - 2 for o.
-4
Let v(h) = 20*h. Let d be v(-1). Let r be 8/d - (-4)/10. Solve s - 6 = -3*w, r*w - 4 = 5*w - 3*s for w.
1
Let b be 3/4 + (-292)/(-16). Let g = b + -17. Solve v = g*x + 7 + 4, -2*x - 20 = -4*v for v.
3
Suppose 3*r - 27 = 33. Suppose -5*t = -0*t - r. Let f be ((-3)/6)/(t/(-8)). Solve -5*o - 5 = 2*c - f, -2 = 3*o + c for o.
0
Let b be (-8 + (16 - -7))*(0 + 1). Solve -5*p - b = -5*n, -5*p + 0 = -3*n + 15 for p.
-3
Suppose -3*z + 5*x + 124 = 0, -z + 2*z - 46 = 4*x. Let n = z - 36. Solve -3*p + 3 = -3*a - 12, p = n*a + 7 for a.
-2
Let b = -8 - -12. Let m be 14/b + (-3)/(-6). Let w be 3*m/(-8)*-10. Solve 15 = 5*r + t, 0 = -3*r - 2*r + 5*t - w for r.
2
Suppose -935*n = -926*n - 27. Solve -7 = -y - n*q + 5, -2*y = -q + 11 for y.
-3
Let f(o) = -o + 7. Let y be f(-3). Let h be 20/y - (-1 + -33). Suppose m = -m + h. Solve -3*r + 15 = 0, -4*r + m = -w - 5 for w.
-3
Suppose 10*m = 11*m - 5. Let t be (-174)/(-9)*(m + 7/(-2)). Solve -x - 2*x - t = 5*p, 21 = -3*p - 3*x for p.
-4
Let z be 3 + (-4 - (-6)/(-3)). Let q be 3 - 2/(z + 1). Solve 0*u = f - u + 7, -2*f - 3*u - q = 0 for f.
-5
Let z(t) = -2*t**2 + 55*t - 76. Let a be z(26). Solve -a*x + 24 = 4*c, -2 = 5*x + 2*c - 30 for x.
4
Let s be (1 + 2 + -9)/(-2). Let v = 20 - 6
|
{
"pile_set_name": "DM Mathematics"
}
|
ue
Suppose -3*n - 9 = 5*a, 3*n + 3*a + 3 = -0*n. Suppose n*o = 181 - 35. Suppose -4*c = -k - 101, -5*c + 2*c + o = 2*k. Is 25 a factor of c?
True
Is 64 a factor of 2*(9 + -14)*-1409*(-4)/(-10)?
False
Suppose -m = -1, -505*n - 77735 = -509*n + m. Does 123 divide n?
True
Let c = -26 - -32. Let m(h) be the second derivative of h**4/3 - 5*h**3/3 - 4*h**2 - h. Is m(c) a multiple of 19?
True
Suppose -420*n + 8700 = -417*n. Does 10 divide n?
True
Suppose -21 = -4*z - 5, -2*z + 4 = 4*w. Let x be ((-8)/32)/(w/44). Suppose -4*t = 8, -2*v + x + 11 = -2*t. Does 9 divide v?
True
Let f(s) = 2*s - 14. Let u be f(7). Suppose 16*m - 12*m - 396 = u. Is 8 a factor of (m/(-6))/((-21)/6 + 3)?
False
Suppose -37*i - 162*i + 1474980 = 45*i. Is i a multiple of 11?
False
Suppose 4*i = -8*i + 4260. Suppose -h = -3*h - 5*l - 481, -5*l = -5*h - 1220. Let c = i + h. Is c a multiple of 14?
True
Let l = 22 + -21. Let z be 3/3*(l - (3 + -6)). Suppose -2*i - 24 = -z*i. Does 4 divide i?
True
Suppose h + 5 - 18 = 0. Suppose -u - 5*i + 53 - h = 0, 3*u = -i + 120. Is u even?
True
Suppose -19*p = -134283 + 20283. Is p a multiple of 120?
True
Let u(s) = 3*s**3 + 109*s**2 - 16*s - 198. Does 26 divide u(-36)?
False
Let c = 1295 - -2282. Suppose -499 = 9*a - c. Is a a multiple of 9?
True
Suppose -m + 4059 = -2601. Is 30 a factor of m?
True
Let g(o) = 37*o**2 + 4*o - 7. Let n(r) = 112*r**2 + 12*r - 20. Let c(m) = -17*g(m) + 6*n(m). Is c(-3) a multiple of 34?
True
Let p = 737 + -124. Suppose -4*o + 53 = -3*l + p, -5*l - o + 895 = 0. Is 10 a factor of l?
True
Let b(o) = 15*o + 40. Let c(r) = 5*r + 13. Let i(l) = 6*b(l) - 17*c(l). Let f = 559 + -550. Does 28 divide i(f)?
False
Let t(y) = -y**3 - 52*y**2 + y + 75. Let s be t(-52). Suppose 965 = 3*x - 5*v, 26*x - s*x + 4*v = 1010. Does 11 divide x?
True
Let f be 0*(1 - 10/15). Suppose 2 = 4*z + n - 14, -5*z - 2*n + 23 = 0. Suppose f = z*v - 10*v + 1568. Is v a multiple of 16?
True
Let q(j) = 17 + 10*j**2 - 13 - 11*j**2 + 28*j. Let d be q(28). Let n(u) = 4*u**2 + 2*u - 11. Does 15 divide n(d)?
False
Suppose -26*x = 6*x - 1219997 - 46307. Is x a multiple of 13?
True
Is 1734/17*206/12 a multiple of 2?
False
Let d be 75 - (0 + 1 + 1). Let m be 11440/(-264)*36/(-15). Suppose -5*w = v - 223 - d, 4*v = -2*w + m. Is w a multiple of 7?
False
Suppose 7394723 = 214*n - 2111585. Does 14 divide n?
True
Let n = -60 - -67. Let a(m) = 8*m**2 + n + 13*m + 13*m**2 + m**3 - 29*m**2 + 16*m**2. Does 4 divide a(-4)?
False
Suppose 0 = -10*f - 5*f - 5*f + 1500. Is f a multiple of 25?
True
Let a(h) = -67*h - 2. Let j be a(-2). Let l be ((-68)/6)/(11/j). Let b = 195 + l. Does 15 divide b?
False
Let o = 7256 - -3387. Is 29 a factor of o?
True
Let v(s) = s**3 + 31*s**2 - 151*s - 228. Is 26 a factor of v(-27)?
False
Let c be 1 + -2 - (-41 - -38). Does 4 divide c - -2 - 1 - (-8023)/113?
False
Let u(q) = 257*q**3 - 2*q**2 + 10*q - 10. Is 11 a factor of u(2)?
False
Let i(w) = -36*w**3 - 3*w + 2. Let p be i(-2). Let g = p + 155. Does 18 divide g?
False
Let z be (12/(-9))/((-8)/6). Let k(h) = 36*h**2 - 2*h. Is 17 a factor of k(z)?
True
Let t be 1/2*(6 + -6). Suppose 4*p + 2*k - 442 = t, 339 = 3*p - k + 4*k. Suppose -2*d + p + 0 = 0. Is d a multiple of 18?
True
Suppose 18*a = -38358 + 130104. Is a a multiple of 5?
False
Does 23 divide (35 - 31) + (-2 - 0) - -1861?
True
Let t be (-1102)/8 - (-8)/(-32). Let v be (0 + t)*(-4)/6. Suppose -x + 0*x = -3, -2*x - v = -2*o. Does 29 divide o?
False
Let t(s) = -4998*s**3 - 16*s - 25. Does 197 divide t(-2)?
True
Let w(y) = -y + 6. Suppose 0 = -5*a + 3*z + 1, -5*a - 4*z = -5*z - 7. Let x be w(a). Suppose 6*d = x*d + 90. Is 25 a factor of d?
False
Let l = -6568 + 13179. Does 52 divide l?
False
Suppose 0 = 3*u - y + 115761, 2*u + 2*y = -y - 77185. Is 76 a factor of u/(-26) - (100/(-26) + 4)?
False
Let u(i) be the first derivative of -3 + 9/2*i**2 - 1/3*i**3 + i. Does 19 divide u(6)?
True
Suppose -7*l + 160 = -9*l. Is (-498)/(-5) + (-32)/l a multiple of 25?
True
Suppose -5*m = 3*a + 100, 4*m - 35 = 2*a + m. Let q(y) = -y**2 - 5*y - 5. Let s be q(a). Let c = -361 - s. Is 14 a factor of c?
False
Suppose -3*b = 4*x - 22, x + 10 = 2*x + 3*b. Suppose -4*v - 17 = x*w - v, 13 = w - 5*v. Is (2136/(-60))/(w/5) a multiple of 15?
False
Let y be (1 - 2922/(-12))/(6/4). Suppose y = -4*p + 3075. Does 13 divide p?
True
Suppose 48575 - 141437 = -42*s. Does 47 divide s?
False
Suppose -12*q + 91 + 41 = 0. Suppose -b - q*b + 2772 = 0. Is b a multiple of 21?
True
Let i(h) = 6*h**2 - 7*h - 2. Let t be i(-5). Suppose 133 = 2*f - t. Does 7 divide f?
False
Let f(p) = 2*p**2 - 12*p - 12. Let r be 135 + 20/4 - 4. Let x = r - 143. Is f(x) a multiple of 17?
True
Suppose 0*q - 105 = -5*q. Suppose -15 = 3*u, -2*i = -4*u - q - 591. Suppose -5*a + a = -i. Does 5 divide a?
False
Suppose 3 = 4*m - 5. Suppose -m*o - 2*v + 25 = 7, 3 = 3*o - 5*v. Suppose -5*n = -2*w - 47, 2*n - o*n + 56 = 3*w. Is n a multiple of 2?
False
Let q = -3113 + 3632. Does 7 divide q?
False
Suppose 0 = 269*u - 249*u - 154540. Does 164 divide u?
False
Let s(j) be the first derivative of j**3/3 + 12*j + 484. Suppose 2*p + 2*p = 28. Does 8 divide s(p)?
False
Suppose -7*x = -2*x - 2*d - 12, -x + 4*d - 12 = 0. Suppose x*m + 86 = 3*l - 9, -m - 30 = -l. Suppose 27*h - 260 = l*h. Is 13 a factor of h?
True
Suppose v = 5*x - 555, 5*v - 3*x + 0*x + 2753 = 0. Is 16 a factor of 6058/20 - 55/v?
False
Suppose -7 = -3*b - 1. Suppose -4*p + 1108 = b*m, 3*p + 1406 = 3*m - 283. Does 70 divide m?
True
Does 203 divide (1/(-3 - (-146)/49))/(14/(-2030))?
True
Let x = -197 + 192. Does 45 divide ((-16210)/(-6))/5 - x/(-15)?
True
Does 9 divide (-1 + (-19243)/35)/((-12)/330)?
True
Let c(p) = 155*p**2 - 131*p - 34. Is c(-16) a multiple of 22?
False
Let q(k) = -8*k + 13. Let t be -2 - ((-4 - 12)/(-4) - -2). Does 15 divide q(t)?
False
Let r(b) = b**3 - 2*b**2 + 4*b + 1. Let w be r(3). Let u = 187 - 193. Let n = w + u. Is 3 a factor of n?
False
Suppose 7*t - 11336 = 5387. Suppose -11*n + t - 189 = 0. Is 14 a factor of n?
False
Suppose -119226 = -10*h - 18786. Does 27 divide h?
True
Let i = 81 - 81. Let n = 6 - -2. Suppose -2*g + n = i, 2*w = -0*w - 5*g + 222. Does 19 divide w?
False
Let k be 2/1 - 0/(-3). Suppose m - 3 = -k. Is 18 a factor of (-2 - m - -216) + 0?
False
Let n(c) = c**3 - 44*c**2 + 170*c + 91. Let o be n(39). Let p = o + 1095. Is 31 a factor of p?
False
Suppose 5*g = 125*v - 123*v + 385, v + 153 = 2*g. Let a = -43 - -30. Let j = g + a. Is 33 a factor of j?
True
Let y = 56 - 42. Suppose 0 = -5*u - 2*c + y, -5*c = -u - 2*c + 13. Is 13 a factor of (-2)/u - (-318)/12?
True
Suppose -p - 4*j - 2240 = 0, -4*p + 2*j - 2317 - 6697 = 0. Let q = -1566 - p. Does 49 divide q?
True
Let a = 378 + -301. Let i = 221 - a. Is i a multiple of 48?
True
Let i = 113 - 110. Let t be 6/9*i*15/10. Suppose t*p + w - 8 = 0, 5*p = 6*p - w - 8. Is 2 a factor of p?
True
Let o(q) = q**2 + 2*q - 3. Let k(c) = -c**2. Let x = 5 - 6. Let w(l) = x*o(l) - 2*k(l). Does 3 divide w(0)?
True
Suppose -2*f + 6*l - 38 = 2*l, -3*l + 21 = -f. Let k be (-775)/f - 4/(-3). Suppose -2*r + k = -13. Is 19 a factor of r?
False
Let k = 45 - 28. Suppose -12*m - 130 = -k*m. Suppose 31*o = m*o + 625. Does 25 divide o?
True
Let m(x) = x**3 - 2*x**2 + 6*x - 6. Let t be (-4 - (-28)/5)/(2/5). Let b be m(t). Let d = b + -12. Is d a multiple of 15?
False
Let s(g) = 19*g**2 - 11*g - 8. Let j be s(-2). Let p = j + 31. Does 26 divide p?
False
Let m(s) = -s**3 - 13*s**2 - 11*s + 17. Let y be m(-12). Suppose 0 = 2*h + 4*v - y + 15, 2*h - 2*v = -40. Is (h/5 - -6) + 83 a multiple of 19?
False
Suppose 0 = 6*q - 22 - 128. Is q a multiple of 25?
True
Let m = 4105 - -512. Is m a multiple of 137?
False
Suppose 1920 = 102*f - 90*f. Does 32 divide f?
True
Let z(y) = 42*y + 7. Let c be z(-4). Let a = -97 - c. Suppose i = -i + q + 103, -3*q - a = -i. Is i a multiple of 20?
False
Let d(q) = q**2 + 5. Let h = 37 - 37. Suppose 4*g - 2*c - 4 + 40 = h, -3*g - 37 = c. Is 18 a factor of d(g)?
True
Is 40 a factor of (0 - 1) + 800 - (-21 - -20)?
True
Let i(l) = l**3 + 5*l**2 - 5*l + 9. Let q be i(-6). Let a(o) = q + 6 - 28 - 16 + 10*o. Does 9 divide a(5)?
False
Suppose 100*o = 101*o - 918. Suppose 26*u - 590 - o = 0. Does 6 divide u?
False
Suppose 8*r - 306652 + 1696 = 35268. Is r a multiple of 32?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
e the first derivative of 7*v**3/3 - v + 16. Give i(2).
27
Suppose 3*a = 20*a - 221. Let f(p) = p**2 - 14*p + 15. What is f(a)?
2
Let m(k) = -k**3 - 30*k**2 - 65*k - 257. Let f be m(-28). Let o(y) = -y**3 - 5*y**2 - 4*y + 4. What is o(f)?
24
Let k(x) = -2*x + 5. Let u(m) = -4*m + 9 + 11*m - 114*m**2 + 116*m**2. Let c be u(-3). Give k(c).
-7
Suppose -i = -3*w - 52, 6*i - w = 2*i + 197. Suppose 7*y = 14 + i. Let d(z) = -3 + y*z - 3*z - 2*z + 2. Calculate d(-1).
-5
Let s(m) = 2*m**2 + 18*m + 18. Let f be s(-8). Let u(l) = l**3 + 426*l - 4*l**f - 7 + 11*l**2 - 422*l. What is u(-5)?
23
Let x(z) = -1 + z**3 - 3*z**3 + z**2 - 7*z**2 - 7*z + z**3. Let j be (20/(-6))/(-6 - 120/(-18)). What is x(j)?
9
Let x(p) = p + 1. Let c = -9 - -9. Let m be -1 + c + 6 + -10. What is x(m)?
-4
Let z(i) = i. Suppose -17*d - 64 = -13*d. Let f = -8 - d. Suppose -5*y + 0*y + 4*k = f, -3*y - 3 = -3*k. Determine z(y).
-4
Let f(u) = 6*u + 2*u - 12*u + 2*u**2 + 0*u - 1 - u**2. Determine f(5).
4
Let d(y) = -y**3 - 12*y**2 - 14*y + 3. Let j = -419 - -408. Give d(j).
36
Let z(c) = -11*c - 7. Let p(w) = -w. Let b(k) = -3*p(k) + z(k). Let r(l) = 7*l + 6. Let x(f) = -6*b(f) - 7*r(f). Let m(j) = j - 1. Let g be m(5). What is x(g)?
-4
Let o(u) = -5*u. Let v(z) = 45*z. Let a(n) = 35*o(n) + 4*v(n). Determine a(-1).
-5
Let s(w) = -3*w - 1. Let l(i) = i**3 + 5*i**2 + 3*i - 6. Let q be l(-4). Give s(q).
5
Let q(x) = 18*x + 7*x**3 - 45*x + 17*x + 2*x**2. Let s(t) = 15*t**3 + 4*t**2 - 21*t. Let j(m) = -13*q(m) + 6*s(m). Calculate j(-3).
-3
Let v(o) = -35*o + o**2 + 72*o + 1 - 35*o. Let x(t) = 4*t**2 + 18*t - 4. Let h(w) = -5*v(w) + x(w). Calculate h(6).
3
Suppose -3*i + 10 = 2*g - 6*g, -2*i + g + 5 = 0. Let v(y) = 18*y + 2. Calculate v(i).
38
Let n(w) = w + 2 - 1 - 1. Give n(-6).
-6
Let x(i) = i**3 - 37*i**2 - i + 22*i**2 + 1 + 8*i**2. Calculate x(7).
-6
Let v(n) = -10*n**3 - 14*n**2 + 17*n + 24. Let i(x) = 3*x**3 + 5*x**2 - 5*x - 8. Let g(q) = 7*i(q) + 2*v(q). Give g(-7).
-1
Let y(q) be the second derivative of -q**4/12 + 4*q**3/3 + 13*q**2/2 + 9*q. Let h be y(9). Let x(n) = -n**3 + 3*n**2 + 2*n - 3. Give x(h).
-11
Let b(j) = j**2. Let q be b(-2). Suppose 6*c + q = 10*c. Let z be c/7 + 78/42. Let y(p) = p**3 - p**2 - p - 2. Calculate y(z).
0
Let p = -277 + 280. Let t(b) = 14*b - 1. What is t(p)?
41
Let a be -3*(-1 + (-2 - -2)). Let i(u) be the first derivative of u**2 + 5*u + 52. Let z(g) = g + 2. Let h(k) = a*i(k) - 7*z(k). Calculate h(-3).
4
Let k(a) = -3*a**3 - 6*a**2 - 5*a - 12. Let u(i) = 5*i**3 + 9*i**2 + 10*i + 23. Let v(p) = -7*k(p) - 4*u(p). Give v(-6).
22
Let g(m) be the first derivative of m**3/3 - m**2/2 - 4*m - 4. Let c = -30 + 18. Let y be (9/12)/(-3)*c. Give g(y).
2
Let h = -60 - -64. Suppose h*a = 6*a + 2. Let s(r) = -5*r**3 - r**2 - r. Calculate s(a).
5
Let u(c) = -65*c - 3 + 124*c - c**2 - 64*c + 9. Let d be 66/(-14) + (-2)/7. What is u(d)?
6
Let g(x) = x**3 + 7*x**2 - 45*x - 102. Let y be g(-2). Let t(l) = l**3 + 2*l - l + 0 - 8*l**2 - 9. What is t(y)?
-1
Let g(h) = -h**3 - 4*h**2 + h + 4. Let o = 176 - 180. Determine g(o).
0
Let g(a) = -2 - a + 4 + 6*a + a**3 + 4*a**2. Let r = 212 + -215. Calculate g(r).
-4
Let n = 38 + -31. Suppose 7 = -6*w + n*w. Let s(k) = -k - 1. Give s(w).
-8
Let i(j) be the first derivative of -j**4/4 + j**3/3 - j**2/2 + j + 88. Give i(0).
1
Let r(h) = -13*h + 4. Let d be r(0). Let c(s) = -s**3 + 4*s**2 - 3*s - 2. Calculate c(d).
-14
Let g(c) = c**2 - 9*c - 13. Let r = 168 + -158. Calculate g(r).
-3
Let v(r) = 2*r. Let x be v(6). Let n be x/(-5) + 3 - (-28)/(-5). Let g(m) = -m**3 - 5*m**2 - m - 1. Determine g(n).
4
Suppose 21*w = 60 + 3. Let z(u) = 2*u. Calculate z(w).
6
Let s(m) = -m**3 - 4*m**2 + m - 3. Suppose f - 2*r + 55 = 0, 0 = 3*f + 4*r - 6*r + 161. Let y = 50 + f. Determine s(y).
-15
Let n be 5/7 - 10/(-35). Let t(m) = -m**3 - 2*m**2 + 1. Calculate t(n).
-2
Suppose -2*t - 14 = -4. Let b be 1*(-5)/((-10)/6). Let k(d) = -4*d + d**b - 8*d**2 + d + 13*d**2 + 2*d + 3. What is k(t)?
8
Let a(j) be the third derivative of 1/12*j**4 + 13*j**2 - 1/6*j**3 + 0 - 1/60*j**5 + 0*j + 1/40*j**6. Calculate a(1).
3
Let l be 3/2*(14/6 - 1). Let y = 18 + -11. Let u(w) = -4 + y - l*w**2 + w + w + 0*w**2. Calculate u(-2).
-9
Let f(j) = j**3 + 18*j**2 - 19*j - 7. Suppose 46*i - 504 + 1378 = 0. Calculate f(i).
-7
Let d = -3 + 5. Let g be (-3 + d)/(-1)*6. Let i(y) = 3*y**2 + 3 + 2*y**2 - g*y**2 + 3*y. Give i(5).
-7
Suppose 0 = 3*v - 5*b + 2, -4*v = -3*b + 9 + 1. Let z(s) = 18*s - 9. Let n(w) = 47*w - 20. Let y(r) = -2*n(r) + 5*z(r). Calculate y(v).
11
Suppose -12*h + 39 = h. Let d(m) be the second derivative of 4*m + 0 + 1/2*m**2 - m**h. Determine d(2).
-11
Let q(s) = 3*s**2 + 1. Let c be q(-1). Let d(r) be the first derivative of -r**3/3 + 2*r**2 - 3*r - 647. Give d(c).
-3
Let v(w) = -13 - 47 + 32 + w + 32. Let s = -24 - -53. Let b be s/(-9) + 2/9. Give v(b).
1
Let a(k) = -k**3 - 6*k**2 + 5*k - 9. Let w(j) = j**3 + 6*j**2 - 15*j + 7. Let y be w(-8). Let l be (y/1*1)/((-35)/(-245)). Give a(l).
5
Let f(c) = -296*c**3 + 8*c**2 - 11*c + 5*c + 10 + 149*c**3 + 148*c**3. Give f(-9).
-17
Let k be (-2)/(-10) + -2 + 58/10. Let m(q) = k - 3*q + q + 5. Determine m(7).
-5
Let l(u) = -u**2 - 2*u - 1. Suppose -4*t - 160 = 6*t. Let m = t - -12. Give l(m).
-9
Let v be (1 - (-25)/(-15))/(24/(-3)). Let u(g) be the second derivative of -5*g**2 - 10*g + 0*g**3 + 0 + v*g**4. Determine u(0).
-10
Let a(x) = 0*x**2 + 2 - 4 - x**2 + 2*x**2. Let n be a(0). Let f(j) = -7*j - 2. Give f(n).
12
Let w(g) be the second derivative of -g**5/20 - g**3/3 + 3*g**2/2 - 261*g + 1. Give w(2).
-9
Suppose -11*w = 131 - 76. Let h(o) be the third derivative of -o**6/120 - o**5/12 - o**4/6 + o**3/3 + 2*o**2. Calculate h(w).
22
Let x = -12196 - -12194. Let w(t) be the second derivative of t**3 + 3*t**2/2 - t. Calculate w(x).
-9
Suppose -5*m - 15 = 0, 8*v - 21 = 5*v + 5*m. Let n(o) = -3*o**3 + 0*o**3 - 3*o - 3*o**2 - 1 + v*o**3. Give n(-2).
1
Let s(w) = 2*w**3 + 6*w**2 + 3*w + 5. Let j be 40/(-12) + (-56)/21 + 2. What is s(j)?
-39
Let t(h) = 15*h**2 - h**3 + 0*h**3 + 24*h - 8*h**2 - 31*h - 1 + 2. Determine t(5).
16
Let n(o) = -7*o - 1. Let c(z) = 40*z + 10. Let k(s) = -c(s) - 6*n(s). Let f be 74/14 - (-4)/(-14). What is k(f)?
6
Let x(a) be the second derivative of -a**4/4 - a**2 - 129*a. Give x(-3).
-29
Let q(g) be the second derivative of g**4/12 - g**3/2 + 4*g**2 - 3*g + 13. Calculate q(5).
18
Let g be (-19)/(-7) - (-4)/14. Let b(n) = -n**3 - 5*n**2 - 7*n - 12. Let d be b(-4). Let h(c) = d*c + 4*c - 5 - 8*c + g*c. Determine h(-6).
1
Let p(h) = -h - 52*h**2 - 52*h**2 - 52*h**2 - h**3 + 153*h**2. Suppose 3*i - 4*y = -6, 4 = -2*i - 0*i - 5*y. Give p(i).
-2
Let x(t) be the third derivative of -t**4/24 - 2*t**3/3 - t**2. Let v be 0/(-4) + -3 + (10 - 9). Give x(v).
-2
Let t(u) = -u**3 - 6*u**2 + 7*u + 9. Let z be t(-7). Let v = z + -7. Let s(n) = 8*n + 0 - 8 + 2*n**v - 6*n**2 + 3*n**2. Calculate s(6).
4
Let d(t) = t**2 - t. Suppose 0 = 5*q - 7*q. Suppose 4*f + 4*h = q, 0*f = -f - 5*h + 8. Give d(f).
6
Let b(h) = -5*h. Suppose 7*a + 5 = 8*a. Suppose 0 = -4*s + 5*o + 6, -a*o = -3*s - 2*o + 3. Determine b(s).
5
Suppose 0 = 14*a + 37*a + 867. Let s(z) = 5*z + 87. Calculate s(a).
2
Let f(o) be the second derivative of 5*o**3/6 - o**2 - 338*o. What is f(-5)?
-27
Let p be (-3)/(-5) + (-49)/(-35). Suppose -3 = p*m - 3*m. Let o(c) = 4*c**2 - 4 + 25*c - m*c**2 - 22*c. Calculate o(-5).
6
Let p(x) = -x**2 + 4*x - 4. Let u = -140 - -144. Determine p(u).
-4
Let k(s) = -s**3 + 19*s**2 - 17*s - 18. Let v be k(18). Suppose -2*f + x - 3*x - 8 = v, 0 = -3*f + 2*x - 17. Let p(a) = a**2 + 5*a. Give p(f).
0
Let s be 38/(-95) - (2 - 9/(-15)). Let n(b) = b**2 + b + 6. Determine n(s).
12
Let f(z) = z - 6. Let m(t) be the first derivative of -t**2/2 + 10*t + 16. Let a be m(5). What is f(a)?
-1
Let r(y) = y**3 + 5*y**2 + y - 3. Suppose 0 = -0*n - 2*n + 6. Let b(a) = 5 + 0*a + 8 + n*a. Let k be b(-6). Give r(k).
-8
Let z be 1/(-3 + 15/6). Let r(y) = -5 - 1042*y**3 + 4 + 1043*y**3 + 0*y**2 - 2*y + 4*y**2. Determine r(z).
11
Let q(a) = -3*a + 2. Let c(x) = x + 1. Let h be (-6)/12*4/2. Let p be c(h). Suppose p*o - 4 = o. Calculate q(o).
14
Let c be (2 - 30/16)/((-7)/(-56)). Let l(d) = -6*d**3 - d - d**2 + d**2. What is l(c)?
-7
Let d(g) be
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + t**4 + 4*t**2 to u*t + z*t**4 + w + l*t**3 + d*t**2 and give z.
1
Express 2 + 6*u - u**3 - 2 + 9*u in the form k*u**2 + q*u + i + o*u**3 and give q.
15
Rearrange (0 + 0 + 2)*(0 + 0 - 2*d) + 4*d - d - 4*d to g + v*d and give v.
-5
Rearrange -15 + 0 + 3*p**2 + 5*p**2 + (0*p - 2*p + 4*p)*(4*p - 3*p + p) to s*p + r + d*p**2 and give r.
-15
Express (0 + 0 - 2)*(4*m + 0*m**2 + 0*m**2 + 6*m**3 + 2*m**2) in the form n + s*m + c*m**2 + l*m**3 and give c.
-4
Express (-4*x - 3*x**2 + 4*x)*(0 + 0 - x) - 17 + 17 + 11*x**3 in the form i*x**2 + m*x**3 + y + j*x and give i.
0
Express 40*z - 66*z**2 + 31*z - 71*z as t + u*z + l*z**2 and give l.
-66
Express -60*i**2 - 1 + 67*i**2 - 3 in the form j + g*i + r*i**2 and give j.
-4
Express (0 + 0 - 2*j**2)*(3 + 5 - 4)*(0 - 1 + 5) as w*j**2 + t + s*j and give w.
-32
Express -h**2 + 3*h - h - h - 22*h**4 + 0*h in the form c*h + y + g*h**3 + w*h**2 + k*h**4 and give c.
1
Express -3 - 2 + 5 + 10*c as h*c + s and give h.
10
Rearrange (2 - 3 + 0)*(-2*l + 21*l + 13*l) to b*l + r and give b.
-32
Rearrange (-3*l + 2*l - l)*(9*l + 17 - 17) + 5*l**2 - l**2 - l**2 to the form v*l**2 + k + h*l and give v.
-15
Rearrange (1 - 1 - 3*s**2)*(0 - 1 + 0) - s**2 - 3*s**2 + 3*s**2 + 6*s**2 - 3 + 3 to the form c*s**2 + x*s + t and give c.
8
Rearrange (0*l**2 - 3*l**2 + 6*l**2)*(-2*l + 5 - 5)*(-3 + 3 + l + (-5*l + l + 2*l)*(4 + 2 - 4)) to c*l**2 + y + k*l**3 + w*l**4 + x*l and give w.
18
Rearrange -8*h + 29 - 29 to y + j*h and give j.
-8
Rearrange 16*k - 76*k + 11*k to j + n*k and give n.
-49
Express (3 + 3 - 7)*(2*o - 4*o + 4*o) + (-3 + 7 - 2)*(4*o - 4*o + 2*o) + 3*o - 3*o + 2*o + 6 + 8*o - 6 as f + v*o and give v.
12
Express 2*d**4 - 8*d + 3*d**3 + 4 - 3 + 12*d in the form h*d**4 + w*d + m*d**2 + f*d**3 + t and give f.
3
Rearrange -2*p - 16 + 4 - p**3 + 5 to t + n*p**2 + w*p + g*p**3 and give g.
-1
Express (-3*b - 12*b + 7*b)*((2 + 4 - 5)*(1 + 2 - 1) - 1 + 4 - 1 + 1 + 2 + 2)*(-2 + 1 + 3) in the form f + y*b and give y.
-144
Rearrange (4*c**3 - 3*c**3 + 4*c**3)*(3 - 6 - 1) to r + m*c**2 + x*c**3 + b*c and give x.
-20
Rearrange -4*s**2 + 21*s**3 + 2*s**2 + s - 23*s**3 to m*s + c + w*s**3 + x*s**2 and give x.
-2
Rearrange 0 - 43*f + 0 - 83*f to the form x*f + m and give x.
-126
Rearrange (0*k - 3*k + 2*k)*(2 - 35 + 13) + (0 - k + 0)*(1 - 1 + 1) to the form y + t*k and give t.
19
Express (-2 - b**3 - 1 - b**3)*(1 + 0 + 5) as q + z*b**3 + p*b + v*b**2 and give z.
-12
Rearrange (1 + 4 - 3)*(-1 - p + 1) - 2*p - 2*p + 3*p + (-1 + 4 - 2)*(0 - p + 0) + 0*p - 4*p - 2*p to r*p + x and give x.
0
Express -8*t - 5*t + 9*t as m*t + s and give m.
-4
Rearrange -298 + 298 + m to the form q + j*m and give j.
1
Rearrange (-32*u + 4 - 3 + 12*u)*(1 - 1 - u) to b + g*u**2 + n*u and give n.
-1
Express i - 42*i**2 - i + 105*i**2 in the form o + p*i + d*i**2 and give d.
63
Express (0*q - q + 3*q)*(-18*q + 10*q - 11*q) - 8*q**2 + q**2 - 4*q + 2*q as p + r*q + n*q**2 and give n.
-45
Rearrange -3 - 1 - 4*m + 4 + 3*m**2 to y + a*m + t*m**2 and give t.
3
Rearrange -51*z**3 + 26*z**3 + 26*z**3 + 25*z**2 to the form v*z + u*z**3 + w*z**2 + l and give w.
25
Rearrange (1 + 1 - 1)*(p + p - 6*p) - 4*p + p + 5*p to the form l*p + s and give l.
-2
Rearrange 190*y**2 - 383*y**2 + 5*y**3 + 192*y**2 to the form l*y + v*y**3 + j + i*y**2 and give j.
0
Rearrange -26*k**2 + 8*k**2 + 12*k**2 to n*k + g*k**2 + a and give g.
-6
Rearrange (-1 + 4 - 2 + (-1 + 1 - 1)*(2 - 4 + 4) - 4 + 4 - 2 + 0 + 0 + 2)*(365*z - 3*z**3 - 365*z) to the form f*z**3 + p*z + o*z**2 + l and give f.
3
Express -p**3 + 41*p**4 - 40*p**4 + 7*p - p**3 + 1 + p**2 - 3*p in the form q*p**2 + w + o*p**3 + h*p**4 + f*p and give w.
1
Express -d**3 - d + 3*d**3 - 3*d as p*d**2 + q*d**3 + y + n*d and give q.
2
Rearrange 0*h - 2*h**3 + 4*h**3 + 2*h + 3*h**3 to d*h**3 + i + a*h + k*h**2 and give d.
5
Rearrange -4*b - 2*b**4 - 6*b - b**2 + 1 + 12*b + 10*b**3 to p*b**3 + o*b**4 + l + q*b**2 + j*b and give p.
10
Rearrange -3*x**2 + 0*x**2 - 2 + 3 + 6*x**2 to b*x**2 + r + y*x and give b.
3
Rearrange (b**2 + 3*b**2 - b**2)*(3*b - 6*b + 4*b)*(3 - 3 + 1) to y*b**2 + c + m*b**3 + t*b and give m.
3
Express 5 - z**2 + 3 - 8 - 1 in the form h*z + d*z**2 + r and give d.
-1
Rearrange (2 + 7 - 3 + 1)*(7*c - 9*c**3 - 7*c) to the form k*c**2 + u*c + x*c**3 + v and give x.
-63
Express (2*c - c + c)*(2*c - 3*c + 7*c) + 2*c**2 - 3 + 3 as j*c + k*c**2 + q and give k.
14
Express -h**2 - 4*h**2 + 2*h - 2*h**3 - h as f + n*h**2 + p*h**3 + o*h and give o.
1
Express 4*b**4 + 31*b**3 - 4*b**4 - 33*b**3 + b**4 + b**2 in the form h*b + x*b**2 + f*b**3 + j + c*b**4 and give c.
1
Express (-9 + 1 - 5)*(-q + 6*q - 3*q) in the form y + v*q and give v.
-26
Express (-2*f - 2 + 2)*(114 - 114 + 20*f**2) as h*f**2 + u + n*f + o*f**3 and give o.
-40
Rearrange 9*u**2 + 2*u**3 - 5*u - 8*u**2 + 2*u**4 + u to t*u**2 + w*u**3 + m*u + r + p*u**4 and give t.
1
Express -95 + 95 - 3*w**2 + w as z + s*w + d*w**2 and give z.
0
Rearrange 3*x**3 - x**3 + 6*x**4 - 6*x**4 + x - 5*x**4 to the form m*x**2 + j*x + a*x**3 + v*x**4 + y and give a.
2
Rearrange -21*z - 20 - 37 + 6 + 19*z to the form b*z + p and give b.
-2
Express 5*x**2 - x**2 - 2*x**2 - 3*x**2 as b*x + z*x**2 + y and give z.
-1
Rearrange (3*s - 2*s + 9*s)*(-4*s**2 + 2*s**2 + 4*s**2) - 2*s**3 + 2*s**3 - 2*s**3 to the form u*s**3 + h*s**2 + i + a*s and give u.
18
Express (0 + 0 - 2*r + (2*r + 0*r + 0*r)*(-1 + 2 - 2) - 7*r + r + 2*r)*(2*r**2 + 3 - 3) in the form s*r + i*r**3 + a*r**2 + j and give s.
0
Express (3*p - p - 4*p + (-2 + 0 + 0)*(-2 + 2 - p) - 3 + p + 3)*(9 - 10 + 21) in the form l + b*p and give b.
20
Rearrange 2*l**4 - l**3 - 4*l + 1 - 4*l + 12*l - 3*l + 10*l**2 to the form q + w*l**2 + r*l**4 + n*l**3 + u*l and give r.
2
Express 10*s**2 - 5*s**2 + 15*s**2 + (11*s - 2*s - 2*s)*(0*s - 2*s + 3*s)*(6 - 1 - 4) as i + h*s**2 + t*s and give h.
27
Express 2*i**3 + i**3 + 4*i**3 + 4*i**3 - 2*i as b*i + t*i**3 + f*i**2 + n and give b.
-2
Express (4*z - 2*z - z)*(3 - 5 + 4)*(-3 + 3 - 3*z) as s*z + k + h*z**2 and give h.
-6
Rearrange (v - 4*v + 2*v)*(-4*v + v - v) + 2*v**2 - 2*v**2 - 3*v**2 to the form d + r*v**2 + h*v and give r.
1
Express 4*r + 0*r - 5*r**2 + r - 3*r**3 + 3*r**2 as s*r**2 + v*r + k*r**3 + q and give q.
0
Rearrange 195 - 3*d - 66 - 98 to the form s + b*d and give s.
31
Rearrange -r + 2 - 6*r**4 - 7*r**4 + 5*r**4 + 0*r - 3*r**2 to the form d*r**3 + y*r**2 + t*r + g + k*r**4 and give g.
2
Express (0 + 0 + 2)*(0 - 3 + 6)*(-3*m + 2*m - m) as h + a*m and give a.
-12
Express (4*u - u - u)*(-2*u**3 + u**3 + 3*u**3) + (-4*u**2 + u**2 - u**2)*(4*u**2 + 6*u**2 - 2*u**2) as n*u + s*u**2 + j + p*u**4 + m*u**3 and give p.
-28
Express 13 + 8 - 21 + 70*n as i*n + s and give i.
70
Express (-5*m + m + 2*m)*(m**2 + 4 - 4) - 3*m**2 - m**3 + 3*m**2 + 383*m**2 - 383*m**2 + 33*m**3 - m**3 as p*m**2 + h*m**3 + j*m + i and give p.
0
Express 14*d**4 + 2 - d**3 - 2*d**3 - 3*d**3 + 4*d**3 - d in the form j*d + g*d**3 + w + z*d**2 + x*d**4 and give g.
-2
Express (0 - 1 + 2)*(-7 + 16 - 27)*(0*i + 0*i - 3*i) in the form v + g*i and give g.
54
Express 6*t + 11*t - 1 + 1 as n + u*t and give u.
17
Rearrange (0*t + 3*t - 2*t - 2*t + 0*t + t + (-1 + 1 - 2)*(0*t + 0*t - 2*t) + 5 + 2*t - 5 - 4*t + t + t)*(1 - 1 - 15) to x + o*t and give o.
-60
Rearrange 83*f**2 - 82*f**2 + 3 - 1 to the form q*f**2 + i*f + w and give w.
2
Rearrange (0*s + s + 0*s)*(-2 - 2 + s + 5)*(-3 + 4 + 1) to u*s + m + y*s**2 and give y.
2
Rearrange -2*g - 4*g - 12*g to the form c*g + q and give q.
0
Rearrange (2*y - 2*y - y + (4 + 0 - 3)*(y - 2*y - y) - 2*y - 2*y + 6*y)*(-17 + 4 + 0) + (-1 - 1 + 1)*(2*y + 2*y - 2*y) to the form a + v*y and give v.
11
Rearrange d**3 + 3*d**3 - 3*d**3 - 5*d**3 - d**3 + 4*d**3 + (11*d - 2*d - 4*d)*(d**2 + 0*d**2 + d**2) to j*d + s + m*d**3 + x*d**2 and give m.
9
Rearrange 6*a**2 - 8*a**2 + 3*a**2 to t*a**2 + u*a + d and give t.
1
Rearrange (0 + 0 + 2*y**2)*(-114 - 106 - 59) to the form a*y + j + r*y**2 and give r.
-558
Express 12*z**2 - 3*z - 11*z**2 - 1 - 4*z + 4*z - 5*z**3 as c*z**2 + m*z**3 + h + a*z and give a.
-3
Express 0 + 5 - 23*l - 5 as z*l + i and give z.
-23
Express -3*y + y**2 + 9 + 2*y**3 + 12*y**4 - 9 - 16*y**4 as p*y**4 + m*y**3 + n + f*y**2 + r*y and give m.
2
Express (l**3 + 51*l**2 + 5 - 51*l**2)*(4*l - 3*l
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when 1479128 is divided by 23.
21
Calculate the remainder when 142663319 is divided by 30.
29
What is the remainder when 17882 is divided by 3112?
2322
What is the remainder when 914829 is divided by 914713?
116
Calculate the remainder when 282706 is divided by 584.
50
What is the remainder when 166032 is divided by 83014?
4
What is the remainder when 239292335 is divided by 29?
24
Calculate the remainder when 192922 is divided by 11022.
5548
Calculate the remainder when 100796 is divided by 50390.
16
What is the remainder when 3008998 is divided by 41784?
550
What is the remainder when 5208142 is divided by 55?
27
Calculate the remainder when 109133858 is divided by 162.
128
What is the remainder when 3851 is divided by 372?
131
What is the remainder when 31469 is divided by 12913?
5643
Calculate the remainder when 751531 is divided by 142.
67
Calculate the remainder when 4157781 is divided by 11117.
23
Calculate the remainder when 92421600 is divided by 59550.
0
What is the remainder when 4498708 is divided by 264?
148
Calculate the remainder when 111246 is divided by 253.
179
What is the remainder when 231022 is divided by 115235?
552
What is the remainder when 186465 is divided by 267?
99
What is the remainder when 1022537 is divided by 425?
412
Calculate the remainder when 1000452 is divided by 166733.
54
Calculate the remainder when 9133267 is divided by 26.
13
Calculate the remainder when 1063582 is divided by 8716.
230
What is the remainder when 25357 is divided by 12272?
813
Calculate the remainder when 2904222 is divided by 126270.
12
What is the remainder when 144190 is divided by 20561?
263
What is the remainder when 226973 is divided by 3846?
59
Calculate the remainder when 22963 is divided by 120.
43
Calculate the remainder when 283792 is divided by 70838.
440
Calculate the remainder when 194441649 is divided by 35.
24
Calculate the remainder when 5263251 is divided by 802.
527
Calculate the remainder when 3530013 is divided by 882430.
293
What is the remainder when 26401524 is divided by 16924?
84
Calculate the remainder when 726019 is divided by 371.
343
What is the remainder when 410254 is divided by 102184?
1518
Calculate the remainder when 3243749 is divided by 129748.
49
What is the remainder when 960939 is divided by 480406?
127
Calculate the remainder when 767217 is divided by 478.
27
What is the remainder when 2138275 is divided by 247?
243
What is the remainder when 19485 is divided by 207?
27
Calculate the remainder when 154805 is divided by 51385.
650
Calculate the remainder when 79018410 is divided by 313.
308
What is the remainder when 311037200 is divided by 358?
356
Calculate the remainder when 48920576 is divided by 2233.
12
What is the remainder when 1431618 is divided by 19346?
14
Calculate the remainder when 144183398 is divided by 99.
95
Calculate the remainder when 2953099 is divided by 5779.
30
Calculate the remainder when 189882537 is divided by 30.
27
What is the remainder when 18512 is divided by 8641?
1230
Calculate the remainder when 27761 is divided by 184.
161
Calculate the remainder when 24238 is divided by 358.
252
Calculate the remainder when 13831650 is divided by 742.
28
What is the remainder when 14568419 is divided by 1736?
1643
What is the remainder when 29718118 is divided by 165?
133
What is the remainder when 5660600 is divided by 1336?
1304
What is the remainder when 38605522 is divided by 461?
460
What is the remainder when 1017894 is divided by 338053?
3735
Calculate the remainder when 7570167 is divided by 699.
696
What is the remainder when 24856741 is divided by 86308?
37
What is the remainder when 1382711 is divided by 186?
173
Calculate the remainder when 89241 is divided by 9550.
3291
What is the remainder when 52838 is divided by 2397?
104
Calculate the remainder when 4243434 is divided by 34.
30
Calculate the remainder when 743282 is divided by 1791.
17
What is the remainder when 35215 is divided by 35186?
29
Calculate the remainder when 861869 is divided by 492.
377
Calculate the remainder when 363574572 is divided by 225.
222
What is the remainder when 21546357 is divided by 165?
162
What is the remainder when 232735 is divided by 58133?
203
Calculate the remainder when 6168 is divided by 507.
84
Calculate the remainder when 75977 is divided by 5819.
330
Calculate the remainder when 23773763 is divided by 1981146.
11
Calculate the remainder when 29497621 is divided by 5.
1
Calculate the remainder when 9496400 is divided by 1803.
1802
Calculate the remainder when 7038 is divided by 5811.
1227
Calculate the remainder when 1693526 is divided by 169349.
36
Calculate the remainder when 78026716 is divided by 6002054.
14
What is the remainder when 881566 is divided by 293855?
1
Calculate the remainder when 135231 is divided by 119.
47
Calculate the remainder when 381734 is divided by 3674.
3312
What is the remainder when 423200 is divided by 422998?
202
What is the remainder when 3654240 is divided by 6513?
447
What is the remainder when 2619304 is divided by 6049?
87
Calculate the remainder when 7912 is divided by 790.
12
Calculate the remainder when 6366 is divided by 212.
6
What is the remainder when 12356148 is divided by 231?
189
Calculate the remainder when 12364099 is divided by 4554.
4543
Calculate the remainder when 210929 is divided by 34.
27
Calculate the remainder when 6845494 is divided by 28.
26
Calculate the remainder when 71684 is divided by 228.
92
Calculate the remainder when 576787174 is divided by 433.
431
Calculate the remainder when 3818998 is divided by 17.
16
What is the remainder when 1115706 is divided by 6601?
137
What is the remainder when 41833612 is divided by 10458394?
36
Calculate the remainder when 354574 is divided by 123.
88
Calculate the remainder when 94508 is divided by 8.
4
Calculate the remainder when 11153215 is divided by 7122.
163
What is the remainder when 316101652 is divided by 198?
196
Calculate the remainder when 18179 is divided by 2981.
293
Calculate the remainder when 212682 is divided by 7322.
344
What is the remainder when 806312 is divided by 356?
328
What is the remainder when 24167800 is divided by 138?
136
What is the remainder when 45873 is divided by 408?
177
Calculate the remainder when 343350 is divided by 1034.
62
Calculate the remainder when 37839 is divided by 86.
85
What is the remainder when 138876371 is divided by 33?
29
What is the remainder when 224588 is divided by 11201?
568
What is the remainder when 18764205 is divided by 156?
57
Calculate the remainder when 360568 is divided by 739.
675
Calculate the remainder when 226834 is divided by 5155.
14
Calculate the remainder when 248370 is divided by 30760.
2290
Calculate the remainder when 5211707 is divided by 1042337.
22
What is the remainder when 157643 is divided by 78368?
907
Calculate the remainder when 70951 is divided by 3733.
24
Calculate the remainder when 1493434 is divided by 9890.
44
Calculate the remainder when 6372296 is divided by 53.
0
Calculate the remainder when 135823 is divided by 877.
765
What is the remainder when 1389439 is divided by 299?
285
What is the remainder when 632517 is divided by 184?
109
What is the remainder when 86894 is divided by 621?
575
What is the remainder when 731794 is divided by 3412?
1626
Calculate the remainder when 92723 is divided by 81.
59
What is the remainder when 148042 is divided by 350?
342
Calculate the remainder when 3298786 is divided by 34007.
107
Calculate the remainder when 7413997 is divided by 227.
177
What is the remainder when 238563037 is divided by 4738?
4737
What is the remainder when 702012 is divided by 27?
12
Calculate the remainder when 793605 is divided by 914.
253
What is the remainder when 23470899 is divided by 234?
231
What is the remainder when 29529 is divided by 140?
129
What is the remainder when 573138 is divided by 143259?
102
Calculate the remainder when 25304 is divided by 203.
132
Calculate the remainder when 791006 is divided by 495.
491
Calculate the remainder when 210833 is divided by 5130.
503
What is the remainder when 999855 is divided by 519?
261
What is the remainder when 3171196 is divided by 352?
28
Calculate the remainder when 38532227 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
(-m + 0 + 0)*(-5 - 5 - 1 + (-1 + 5 - 1)*(-2 + 3 + 0)*(1 + 2 + 0)).
2*m
Expand -44 + 7*n**3 + 44 + (2*n**2 + 5*n**2 - 5*n**2)*(0*n + 2*n - 3*n) + 3*n**3 - 5*n**3 + 0*n**3.
3*n**3
Expand 0*o**2 + 3*o**2 - 5*o**2 - 1 + o**2 + 1 + (-4 - 6 + 0)*(-5*o**2 + o**2 + 5*o**2).
-11*o**2
Expand (6*g - 2*g + 8*g)*(3*g**2 - 5*g**2 + 3*g**2) + (6*g - 3*g + 2*g)*(-2*g**2 + 2*g**2 + 2*g**2).
22*g**3
Expand (32*j - 32*j - 6*j**2)*(-4 - 1 + 4 + (-3 - 3 - 1)*(-5 + 1 + 2))*(2*j - j - 3*j).
156*j**3
Expand -3*j**5 - 3*j**4 + 3*j**4 + (-1 + 2 + 0)*(3*j**5 - j**5 - 3*j**5) + (j - j - 4*j**4)*(-8*j + 6*j + 7*j).
-24*j**5
Expand (-8*z - 4*z - 5*z)*(-2 - 3 + 6)*(-4*z + 3*z - z).
34*z**2
Expand (-4*d**4 + 3 - 3)*(115 - 132 - 159).
704*d**4
Expand (13*a**3 + 110*a**3 - 13*a**3)*(-1 - 3 + 3).
-110*a**3
Expand (-x + 0*x + 0*x)*(2*x - 14*x + x) + (0 - x + 0)*(0 + 0 - 2*x) - 38*x**2 + 2*x**2 - 28*x**2.
-51*x**2
Expand (3*l + l**2 - 3*l)*((5 - 2*l - 5)*(-2*l + l + 0*l) + l**2 + 0*l**2 + 0*l**2 + l + 3*l**2 - l + 3*l**2 - 6*l**2 + 2*l**2).
5*l**4
Expand (59*r - 172 + 172 + r + 3*r - 6*r + 0*r + r + r + (-3*r - 2*r + 3*r)*(2 - 2 + 1) + 2*r - 3*r + 2*r)*(-1 + 3 + 0).
116*r
Expand (0 - 2 + 1)*(-99*s**4 - 21*s**4 + 29*s**4).
91*s**4
Expand -16*g**5 - 19*g**5 + 93*g**5 + (3*g**4 + 2*g**4 - 6*g**4)*(6*g + 0*g - 4*g) - 4*g**5 + 0*g**5 + 3*g**5.
55*g**5
Expand ((-a**2 + 0*a**2 + 0*a**2)*(-11 + 11 + 12*a**2) - a**3 - a**4 + a**3)*(0*a + 16*a - 2*a).
-182*a**5
Expand (-5*a + 5*a + 2*a**2)*(-a - 2*a + 2*a) + 354*a**3 + 207*a**3 - 419*a**3.
140*a**3
Expand (l**3 - 2*l**5 - l**3)*(2383 - 1296 - 1345).
516*l**5
Expand -2*g**4 + 3 - 3 + 4*g**3 - 4*g**3 + g**4 + (3 + g - 3)*(2*g**3 - 5*g**2 + 5*g**2) + 3*g**4 + g**4 - 2*g**4 - 2*g**4 + 6*g**4 - 3*g**4.
4*g**4
Expand (-2*a - a + 4*a)*(2*a - 4 + 4) + (-13 + a - 13 + 21)*(-6*a + 5*a + 3*a).
4*a**2 - 10*a
Expand (-37 - 9*c**2 + 37)*(-4 + 4 - 1) - 2*c**2 - 2*c**2 + 3*c**2 + (0 - 2*c + 0)*(6*c + 9*c - 8*c).
-6*c**2
Expand (10*m - 2*m - 2*m)*(-13*m**2 + 13*m**2 + 3*m**3)*(-2 - 2 + 2).
-36*m**4
Expand (-40*i + 38*i - 110*i)*(-4*i**3 + 4*i**3 + i**4) - 5*i**5 + 4*i**5 + 2*i**5.
-111*i**5
Expand (-2*u**4 - 2*u**4 + 2*u**4)*(-7*u + 2*u + 0*u) + 3 - u**5 - 3 + 29*u**5 - 15*u**5 + 13*u**5 + (u**3 - 3*u**2 + 3*u**2)*(2 - 2 + u**2).
37*u**5
Expand (3 - 4*l - 3)*(l - l - l)*(12*l**2 - 7*l**2 + 11*l**2).
64*l**4
Expand (14*i + 15*i + 33*i)*(i**4 + 2*i**4 - 6*i**4).
-186*i**5
Expand (-3060*u + 5953*u - 3043*u + 3)*(-3 + 5 + 0)*(1 + 0 + 0).
-300*u + 6
Expand -5*g + 6*g + 4*g + (3 + 0 - 2)*(3 + 2*g - 3) + 8*g - 14*g + 11*g.
12*g
Expand (-5*o**2 + 0*o**2 + 3*o**2)*(2*o + 413 - 764 + 451).
-4*o**3 - 200*o**2
Expand (0*a**2 - 2*a**2 + a**2 + (3*a + 0*a - 6*a)*(6*a - 2*a - 3*a) + 0*a**2 + 2*a**2 + 0*a**2)*(-5*a**2 - 6*a + 6*a).
10*a**4
Expand -2 + g**3 + 2 + (7 - 5 - 17)*(0*g**3 + 3*g**3 - g**3) + 3*g**3 + 4*g**3 - g**3.
-23*g**3
Expand (w + 0*w + 0*w)*(44 - 114*w - 111*w + 230*w).
5*w**2 + 44*w
Expand (1 - 3*f - 1)*(f**2 + 182*f - 92*f - 86*f)*(-f + 3 - 3).
3*f**4 + 12*f**3
Expand (28 + 1 + 38)*(-2*n + 5*n + 0*n).
201*n
Expand (58*l**2 + 40 - 42 - 66*l**2 - 11*l)*(25 - 7*l - 25) - 3*l**3 + 4*l**3 + l**3.
58*l**3 + 77*l**2 + 14*l
Expand (0*k**3 + 0*k**3 + k**3)*(-3 - 2 + 6) + 4*k**3 - 5*k**3 + 3*k**3 + 20*k**3 - 9*k**3 - 3*k - 12*k**3 - 5*k**2.
2*k**3 - 5*k**2 - 3*k
Expand (-17*v + 29*v - 17*v - 4)*(-4 + 6*v - v + 6)*(-3 - 3 + 7).
-25*v**2 - 30*v - 8
Expand (-4*h**2 + 2*h**2 + 8*h**2)*(0 + 0 - 2*h) + 2*h**2 + h**3 - 2*h**2 + 31*h**3 + 6*h**3 + 3*h**3 + 0*h**2 + 0*h**2 - 3*h**3.
26*h**3
Expand (-2 - 1 + 1)*(-3*h + 13*h - 13*h - 10*h**2).
20*h**2 + 6*h
Expand -209*h**5 + 51*h**2 + 204*h**5 + 12*h**2 + (-1 + 5 - 2)*(2*h**5 - h**5 + h**5).
-h**5 + 63*h**2
Expand (-751*x - 251 + 250 + 270*x)*(-3 + 1 + 0)*(-2 + 1 + 3).
1924*x + 4
Expand -20*i**3 + i**3 + 4*i**3 + (-7*i + 3*i + 2*i)*(-i**2 - 2*i + 2*i) + 3*i**3 + 2*i**3 - i**3.
-9*i**3
Expand (-4*p**3 + p**3 + 2*p**3)*(0*p**2 + 4*p**2 - p**2).
-3*p**5
Expand (0*m**2 - m**4 + 0*m**2 + (-2 + 2 + 1)*(m**2 - m**2 - m**4) + 0*m**4 + 3*m**4 - 4*m**4 - 2*m**4 - 4 + 4)*(-6 + 0 - 1).
35*m**4
Expand (2 + 4 - 3)*(2 + 2*x - 6*x + 5*x).
3*x + 6
Expand (0 + 3 - 1)*(-l - 7*l + 0*l) - 2*l + 10 - 220 + 7.
-18*l - 203
Expand (-4*w**3 + 2*w**3 + 0*w**3)*(50*w + 32*w - 30*w) - 2*w**4 + 2*w**4 + 2*w**4.
-102*w**4
Expand (-22 - 61*a - 56*a + 116*a)*(-3*a**2 - 7*a**3 + 3*a**3 + 2*a**2).
4*a**4 + 89*a**3 + 22*a**2
Expand (-145*k + 145*k - 124*k**4)*(5*k + k - 4*k) + 5 - 5 - 4*k**5.
-252*k**5
Expand (1 - 1 + 2*q**4)*(4*q - 3*q + q) + (2*q + 2*q - 3*q)*(5*q**4 - 9*q**4 + 5*q**4).
5*q**5
Expand (3 - 3 + j)*(-1959 + 337*j + 1959) - 4*j**2 + 4*j**2 + j**2.
338*j**2
Expand (963 + 484 + 278 + 597)*(0*x**2 - x**2 + 0*x**2).
-2322*x**2
Expand b + b - 5*b - 4*b + 0*b - b + (0*b - 2*b + b)*(3 + 1 - 5) - 4*b + 0*b + 0*b.
-11*b
Expand (2 - 1 + 0)*(113*g**3 - 8*g**3 + 111*g**3).
216*g**3
Expand (z - 63*z**2 + 48*z**2 - 83*z**2)*(-2*z**2 - 2*z**2 + 2*z**2).
196*z**4 - 2*z**3
Expand 810*z - 810*z - 31*z**3 + (z**2 + 2*z**2 - z**2)*(2*z + 0*z + z).
-25*z**3
Expand (0 + 0 + 2*q)*(0*q**4 + 4*q**4 - 5*q**4) - 5*q**5 + 2*q**5 + 2*q**5 + (-90 - 17 - 10)*(-2*q**5 + 1 - 1).
231*q**5
Expand 5*z**2 - 4*z**2 + 5*z**2 + (-6 + 5 - 1)*(0*z**2 + 0*z**2 - z**2) + z - 4*z + 2*z + z**2.
9*z**2 - z
Expand (-2 + 3 - 3)*(56*b + 0*b + 28*b - 3 + 3 - b + (4 - 3 - 3)*(-b + 4*b - 4*b)).
-170*b
Expand 64*j**4 + 74*j**3 - 74*j**3 + (2*j**2 + 0*j**2 - j**2)*(1 - 3*j**2 - 1) + j**4 + 3*j**4 + j**4.
66*j**4
Expand ((r + 0*r + r)*(r - r - 2*r**3) + 32*r**4 - 20*r**4 - 16*r**4)*(4*r - 5*r + 3*r + (5 - 4 + 1)*(-2*r + 2*r + r) + r - 2*r - r + 5*r - 2*r + 2*r).
-56*r**5
Expand (-3*z + 4*z - 4*z)*(-10 + 11 + 28).
-87*z
Expand (473*k**2 + 797*k**2 - 1513*k**2)*(-3*k**3 - 4*k**3 + 5*k**3)*(1 + 0 - 3).
-972*k**5
Expand -12 + 12 - w**2 + (2*w - w - 4*w)*(-3 + 4 - 2)*(4 + 1 - 3)*(4*w - w - 2*w).
5*w**2
Expand (-3 + 2*n + 3)*(2 + 0 - 1)*(119*n**3 + 36*n**3 + 5*n**3).
320*n**4
Expand (13*v**2 + 143 - 143)*(-10*v + 4*v - 6*v).
-156*v**3
Expand (1 + 2 + 1)*(-4*g - 2*g + 2*g) - 1 - g + 7 - 4.
-17*g + 2
Expand (-49*s + 17*s**2 + 20*s + 29*s)*(s**2 + 2*s**2 + 0*s**2).
51*s**4
Expand (2*q + q - 2*q)*(-469 - 190 - 149).
-808*q
Expand (5*q + 2*q - 4*q)*(-1 - 2*q**3 + 1)*(q + 2*q - 5*q).
12*q**5
Expand (-6 + 0 - 6*j + 1)*(2*j**3 + 2*j**3 - j**3).
-18*j**4 - 15*j**3
Expand (-3*i - i + 2*i)*(-13 + 131*i**3 + 13)*(-2 + 2 + 2*i).
-524*i**5
Expand ((-1 + 4 + 6)*(3*v + 2*v - 6*v) + 2*v + 3*v - 3*v)*(5*v + v - 4*v)*((0 + 1 - 2)*(v - 2 + 2) + 1 + 5*v - 1).
-56*v**3
Expand ((6 - 3 - 2)*(2*o + 0 + 0) + 23*o + o + 35*o)*(2*o**3 + 2*o**4 - 2*o**3 - o**3).
122*o**5 - 61*o**4
Expand (-7*i**2 - 7*i**2 + 3*i**2)*(-3*i**2 + i**2 + 3*i**2) + (2*i - 4*i + 5*i)*(-i**3 - 3*i - 405 + 405).
-14*i**4 - 9*i**2
Expand (0*c - 3*c + c + (-2 + 2 - 2*c)*(-1 + 10 - 2))*(-4 - 8 - 6).
288*c
Expand (t - t - t + 3 - 3 + t + (2 + 4 - 4)*(5*t - 5*t - 2*t))*(-22 - 4 + 8)*(-1 + 1 + t).
72*t**2
Expand (52 + 9 + 50 + 9)*(-8*w + 3*w + 0*w) - 3*w + 3*w - 2*w.
-602*w
Expand (2*t - 2*t + t)*(1456 - 248 + 201).
1409*t
Expand (-2*t**3 + 5*t - 5*t)*(2*t**2 + 6 - 3 - 5).
-4*t**5 + 4*t**3
Expand ((0 - k**2 + 0)*(k - 2*k**2 - k) + (0*k + 2*k - k)*(-3 + 3 + 2*k**3))*(3 + 1 - 3)*(-4*k - 39*k + k).
-168*k**5
Expand (-45*h + 8*h + 19*h)*(3 - 3 + 2*h).
-36*h**2
Expand (3*y**4 - y**4 - 4*y**4)*(0*y + 495 - 574 - 464 + 2*y).
-4*y**5 + 1086*y**4
Expand (-21*a**3 + 234 - 234)*((1 - 1 + 2*a)*(3*a + 0*a - 4*a) + 2*a**2 - 3*a**2 + 2*a**2 + 3*a**2 - 3*a**2 + 2*a**2 + (2*a - 1 + 1)*(0*a - 3*a + 4*a)).
-63*a**5
Expand (-8*s - 271*s + 100*s)*(4*s - s + s).
-716*s**2
Expand (f + 0*f - 2*f)*(0 + 2 + 0) + (0*f - 3*f + 5*f)*(-68 + 23 + 24).
-44*f
Expand (z**2 - 2*z**2 + 2*z**2)*(4 - 4 - z)*(1 - 2 + 2)*(267*z**2 - 26*z**2 - 93*z**2).
-148*z**5
Expand (-9*c + 25*c + 35 - 17*c)*(c**2 + 2*c**2 + 0*c**2).
-3*c**3 + 105*c**2
Expand ((6 - 5 - 4)*(0*w - 3*w + 2*w) + w - 3 + 3)*(-9526*w + 9526*w - 4*w**3).
-16*w**4
Expand m - 76*m**2 + 132*m**2 - 65*m**2 - 3 + m**2 + m**2 - m**2 + (1 - 1 + 2*m**2)*(3 - 5 + 4) + 0*m**2 - m**2 + 2*m**2.
-3*m**2 + m - 3
Expand -8*a**2 - 3*a**2 - 11*a**2 + 2*a + 2*a**2 - 2*a + (2*a - 2*a + a)*(-4*a + 0*a + 2*a) - 1 + 1 - a**2.
-23*a**2
Expand y**5 + y**5 - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 880 and 1567940.
220
Calculate the highest common divisor of 134530 and 242.
22
Calculate the greatest common divisor of 13087 and 23.
23
What is the highest common divisor of 60650 and 19150?
50
What is the greatest common factor of 2362806 and 18?
18
Calculate the greatest common factor of 104142 and 3060.
102
What is the greatest common factor of 105 and 15099?
21
What is the greatest common factor of 9 and 57240?
9
Calculate the highest common factor of 17 and 11176888.
17
What is the highest common factor of 95802 and 1050?
42
Calculate the highest common factor of 890 and 4272.
178
Calculate the highest common factor of 34750 and 500.
250
Calculate the highest common divisor of 80 and 44816.
16
What is the highest common factor of 64572 and 44?
4
What is the highest common divisor of 2 and 5652?
2
What is the highest common factor of 33376 and 14900?
596
Calculate the greatest common divisor of 1066 and 56810.
26
What is the highest common factor of 513 and 11647?
19
What is the highest common divisor of 13967 and 27?
1
Calculate the highest common divisor of 2223 and 20691.
171
Calculate the greatest common divisor of 5592 and 111141.
699
What is the highest common factor of 128298 and 96?
6
What is the highest common factor of 78 and 797979?
39
Calculate the highest common factor of 20 and 27950.
10
What is the highest common divisor of 16 and 516564?
4
What is the highest common divisor of 55420 and 680?
340
What is the greatest common divisor of 72640 and 720?
80
Calculate the highest common divisor of 122 and 7042511.
61
What is the highest common factor of 18791 and 133?
19
What is the greatest common divisor of 37009 and 280833?
2177
What is the highest common divisor of 4489 and 25393?
67
Calculate the greatest common factor of 465 and 4476245.
155
What is the highest common divisor of 705 and 303?
3
Calculate the greatest common divisor of 18 and 6614.
2
Calculate the greatest common factor of 13248 and 171.
9
What is the highest common divisor of 100284 and 8418?
366
Calculate the greatest common divisor of 3337992 and 111.
111
What is the highest common factor of 144 and 15648?
48
What is the greatest common divisor of 7565 and 2550?
85
What is the greatest common divisor of 1225 and 8036?
49
Calculate the highest common divisor of 54 and 831114.
54
Calculate the highest common factor of 22671 and 99.
99
What is the greatest common divisor of 624 and 5239?
13
Calculate the greatest common divisor of 17 and 132243.
17
Calculate the greatest common factor of 631495 and 53.
53
What is the greatest common factor of 43512 and 2590?
518
Calculate the greatest common factor of 832 and 12.
4
What is the greatest common divisor of 296 and 86664?
8
What is the greatest common divisor of 245 and 20531?
49
What is the greatest common divisor of 6372714 and 114?
114
What is the greatest common divisor of 708 and 541620?
708
Calculate the greatest common factor of 26 and 1079.
13
Calculate the greatest common factor of 18736 and 224.
16
Calculate the highest common divisor of 515350 and 1650.
550
What is the highest common factor of 53743 and 2899?
223
What is the greatest common divisor of 183340 and 267?
89
Calculate the highest common factor of 335 and 5360.
335
Calculate the highest common factor of 95364 and 216.
108
Calculate the greatest common divisor of 4800 and 2280.
120
Calculate the highest common factor of 4625 and 17875.
125
What is the greatest common divisor of 4750 and 35?
5
Calculate the greatest common factor of 63 and 47691.
63
What is the greatest common factor of 1384 and 458796?
692
Calculate the highest common divisor of 34338 and 388.
194
What is the highest common factor of 9936 and 714288?
1104
Calculate the greatest common divisor of 192 and 4273728.
192
What is the greatest common factor of 34080 and 96?
96
What is the greatest common factor of 10 and 141730?
10
Calculate the greatest common factor of 96373 and 119.
17
What is the highest common divisor of 9 and 2821977?
9
Calculate the highest common divisor of 4385 and 1246217.
877
What is the highest common divisor of 19075 and 19838?
763
What is the greatest common divisor of 5605 and 1830593?
1121
Calculate the highest common divisor of 54 and 118866.
6
Calculate the greatest common factor of 558 and 4465116.
558
What is the highest common factor of 30044 and 56?
28
What is the greatest common factor of 77 and 4535839?
77
Calculate the greatest common factor of 258 and 7122.
6
What is the greatest common factor of 14136 and 105772?
124
What is the greatest common factor of 485 and 404102?
97
Calculate the highest common factor of 441 and 22323.
21
What is the greatest common divisor of 81875 and 500?
125
What is the highest common factor of 30199 and 1394406?
1313
Calculate the greatest common divisor of 4 and 30068.
4
Calculate the greatest common divisor of 149925 and 75.
75
What is the highest common factor of 6305 and 217765?
485
Calculate the greatest common divisor of 1820 and 469.
7
Calculate the greatest common factor of 24 and 2913.
3
Calculate the highest common divisor of 53 and 2442452.
53
Calculate the greatest common factor of 8806 and 230860.
238
Calculate the greatest common factor of 298 and 4058.
2
What is the highest common factor of 1914 and 178200?
66
Calculate the highest common factor of 1736 and 485212.
868
What is the greatest common divisor of 15312 and 7986?
66
Calculate the greatest common divisor of 77985 and 105.
15
Calculate the highest common factor of 58026 and 152.
38
What is the highest common divisor of 443745 and 4275?
855
Calculate the greatest common divisor of 199830 and 2580.
30
What is the greatest common factor of 768 and 379992?
24
What is the greatest common factor of 15622 and 1679?
73
Calculate the greatest common factor of 119 and 43876.
7
Calculate the highest common divisor of 9 and 84345.
3
Calculate the highest common factor of 8 and 28460.
4
Calculate the greatest common factor of 55943 and 4042.
43
Calculate the highest common divisor of 9360 and 143676.
468
What is the highest common divisor of 41635 and 55?
55
What is the greatest common divisor of 1848 and 97482?
462
What is the highest common factor of 12169 and 43?
43
Calculate the greatest common factor of 72807 and 357.
21
Calculate the greatest common factor of 9893 and 364.
13
What is the greatest common divisor of 42440 and 100?
20
Calculate the highest common factor of 5343 and 205647.
39
Calculate the greatest common divisor of 757 and 1.
1
Calculate the highest common factor of 1016 and 1990852.
508
What is the highest common factor of 5397 and 259?
7
Calculate the highest common factor of 196 and 109956.
196
Calculate the highest common divisor of 1036 and 7056.
28
What is the highest common factor of 288 and 99556?
4
What is the greatest common factor of 1498034 and 86?
86
Calculate the highest common factor of 2685720 and 16.
8
What is the highest common divisor of 89796 and 168?
84
Calculate the highest common divisor of 19095 and 7236.
201
What is the greatest common factor of 174 and 184353?
87
Calculate the greatest common factor of 56 and 5832.
8
Calculate the greatest common divisor of 1905 and 4515.
15
What is the highest common divisor of 120170 and 230?
10
Calculate the highest common divisor of 57 and 34561.
19
What is the highest common divisor of 272602 and 22?
22
Calculate the highest common factor of 1724 and 76.
4
Calculate the greatest common divisor of 14703 and 87.
87
Calculate the highest common divisor of 94 and 55131.
47
Calculate the highest common factor of 455 and 11193.
91
Calculate the highest common divisor of 524 and 13362.
262
What is the greatest common divisor of 30 and 634815?
15
Calculate the greatest common factor of 39 and 608868.
39
What is the greatest common divisor of 5811 and 1872?
39
Calculate the highest common factor of 1565692 and 74.
74
Calculate the greatest common factor of 3456 and 1620.
108
Calculate the highest common divisor of 33 and 207339.
33
Calculate the highest common factor of 15 and 5393280.
15
What is the highest common factor of 8 and 877636?
4
Calculate the greatest common factor of 62139 and 1056.
33
What is the highest common factor of 218752 and 3712?
128
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to x? (a) h (b) s (c) 1
a
Let m = 6 + -5.7. Let p = -0.04 + 0.16. Let i = p - 0.02. Which is the closest to i? (a) m (b) -0.5 (c) -2
a
Let g = 7.9 - 8. Let o = 1.7 + -2. Which is the closest to g? (a) 3 (b) o (c) 0
c
Let g = -0.11 + -4.89. Let v = 1/25 + 23/50. Which is the closest to v? (a) -1/5 (b) g (c) 5
a
Let b = 69/20 + -16/5. Suppose -2*o = -1 - 7, 41 = 5*p + 4*o. What is the closest to b in 1, p, -3?
1
Suppose -10 = -8*m + 3*m. Which is the closest to 1/4? (a) 1 (b) -0.3 (c) m
b
Let w = -0.05 + -1.95. Let c = 0.05 + 1.95. What is the closest to c in 1, 5/4, w?
5/4
Let k be 1/(2/6) + -4. Which is the nearest to -1? (a) -2 (b) k (c) -5
b
Let k = -2/43 - 31/258. Let z = 0.03 - 0.43. Let o = -0.3 - z. What is the nearest to 2/3 in -0.1, k, o?
o
Let n = 20 + -24. Let p = n + 4.1. Let k be (-19)/(-45) + (-4)/18. What is the closest to 1 in k, -0.1, p?
k
Let u be ((-1)/(-5))/(2/(-4)). Let v be (-1)/((-1)/1*1). Let w be 0 + ((-16)/20)/(-2). Which is the closest to u? (a) v (b) -1/2 (c) w
b
Let l be (-14)/(-16) + (-8)/16. Suppose -2*t + 6*h - 4*h - 10 = 0, -2*h = 3*t - 10. What is the nearest to t in l, -1, -5?
l
Let x(k) = -k**2 - 3*k - 2. Let l be x(-2). Let m = 0.9 - 1. Let v = m + 0.1. Which is the closest to v? (a) l (b) -0.1 (c) -5
a
Let u = -13 + 19. What is the nearest to 1 in -2, -0.1, u?
-0.1
Let g = -188 + 193. Which is the nearest to -1/4? (a) 0.1 (b) g (c) 2/15
a
Let y = 1 - 0.9. Let w be (-3)/5*(-4)/(-6). What is the nearest to y in -3, 0.5, w?
0.5
Let c = 2.6 - 3. Suppose 2*u = -2, 5*f - f - 10 = 2*u. What is the nearest to 1/2 in -4, f, c?
c
Let n = -36 + 40. Which is the nearest to -1/4? (a) 12 (b) n (c) 1/8
c
Let f = -31.83 + 32. Let d = -0.27 + f. Which is the closest to -1/2? (a) 0.03 (b) 4/3 (c) d
c
Let u = 0.69 - 0.29. What is the nearest to -2/5 in u, -2/5, 4/3?
-2/5
Let x(r) = -r. Let l be x(0). Let s = 0.529 - 0.229. Which is the nearest to -1? (a) l (b) s (c) -5
a
Let t = -201 + 201.5. Which is the closest to -0.13? (a) t (b) -1/2 (c) -3
b
Let z = -1.1 - -0.8. Let y = -90 + 85. What is the nearest to 0 in z, y, 0.2?
0.2
Let g = 0 - -1. Let o = -2 + 0.5. Let m = o - 0.5. Which is the closest to -1? (a) 4 (b) g (c) m
c
Let s = 34 - 32. What is the nearest to s in 0.5, 2, -0.2?
2
Let p = -2804/3 - -459709/492. Let s = -2/41 - p. What is the closest to -2 in -4, -1, s?
-1
Let x = -3 - -1. Let z = x - -3. Let a = 1.1 - z. What is the nearest to a in 0.3, 0.1, -2/7?
0.1
Let m = 3.5 + -0.5. Let h = 0.41 + 0.09. What is the closest to m in -3, -4, h?
h
Suppose 0 = 3*z - 2*z + 5*x + 18, -3*x - 20 = -4*z. Let q = 2 + -4. Let o = q - -1. What is the nearest to o in z, -0.4, 3?
-0.4
Let k = -0.8 + -0.2. Let w = -138/5 - -412/15. What is the closest to k in -3, 0.1, w?
w
Let g = 44 - 117. Let f = g - -513/7. Which is the closest to f? (a) 0.4 (b) -0.6 (c) 3
a
Suppose -5*z = 4*q + 439, 4*q = 4*z - 225 - 187. Let g = -217/2 - q. Let b be (4/(-12))/((-2)/(-3)). What is the nearest to b in g, 2, -0.4?
-0.4
Let n be (-20)/6*(3 - 6). Let v be ((-2)/(-5))/(14/n). Let k be (0 - 1)*(0 + -3). What is the closest to v in k, 3/2, -5?
3/2
Let y = -0.36 - -0.36. What is the nearest to y in -4/3, 2/9, -2?
2/9
Let y be (-2*(-2)/30)/((-28)/(-84)). Let p = 4 - 4. Let w = p + -1. What is the nearest to 2 in w, y, 0.1?
y
Let o be 6/2 + (-126)/49. Let k = 3.8 - 4. Which is the nearest to 1/2? (a) 2 (b) o (c) k
b
Let f = -0.11 + 0.51. What is the closest to 2/3 in f, -2/9, 0?
f
Let t be (1*3/(-15))/(8/30). Which is the nearest to 2? (a) -1/4 (b) t (c) -2/7
a
Let o = -0.067 - 2.933. Let k = 2 - 0. Which is the nearest to o? (a) k (b) -0.3 (c) -1/4
b
Let z = -55 + 277/5. What is the closest to 0.3 in z, 7, 3?
z
Let w = 159 - 2068/13. What is the closest to 1/2 in w, 0.2, -1/3?
0.2
Let o(h) = h**2 + 10*h + 10. Let s be o(-9). Let r = 4.18 - 0.18. What is the nearest to 0.2 in s, r, 2/3?
2/3
Let k = 1445 + -24573/17. Let p = 15/68 + k. What is the nearest to p in 2/11, -2/5, 0.5?
-2/5
Let w be 13/7 - 7/(-49). What is the closest to w in -2, -0.5, 2?
2
Let g = -9 - -7. What is the closest to -1 in g, 3, 0.2?
g
Let d = 8 - 7.9. Let m = 0.9 + d. Let q = 43 + -131/3. What is the closest to m in -4, q, 0.2?
0.2
Let m = 0.41 + -2.41. What is the nearest to 0.4 in m, 2, 5?
2
Let y = 165/4 - 41. What is the nearest to y in 2/5, -1, 2/9?
2/9
Let q = -0.4 + -0.6. Suppose 2*b = -5*d + 29, 4*d - 2*b - 2 = 14. What is the closest to q in d, -0.3, -5?
-0.3
Let p be 5/(-30)*(-4)/(-1). What is the nearest to -2/9 in -5, 3, p?
p
Let g = 14 - 14.4. Suppose -11 = 5*x + 14. What is the closest to -2/7 in g, 4/3, x?
g
Let u = 0.06 - 0.14. Let h = u + -0.02. What is the nearest to -0.1 in 2, h, 0.4?
h
Let i = -14 + 13.9. Which is the nearest to 1/4? (a) -2/17 (b) 0.5 (c) i
b
Suppose 11*i = 3*i + 40. Let d = -0.8 + -0.2. Which is the closest to d? (a) 3 (b) i (c) -1/6
c
Let h = 0.3 - -1.7. Which is the nearest to -1? (a) h (b) 5 (c) -3
c
Let x = -10.3 + 11. Let i = x - 0.2. What is the closest to -1 in -0.4, -3/7, i?
-3/7
Let j = 0.64 + 0.06. Let v = j - 1.2. Which is the closest to 1? (a) -1 (b) v (c) 2/7
c
Let q = 0.4 + 0.2. Let j = q + 0. Let d = j + -0.8. Which is the nearest to d? (a) -1 (b) -0.2 (c) -2
b
Let r = -68 + 72. Which is the nearest to 0? (a) r (b) -3/11 (c) 3/7
b
Let l = 0 - -1. Let n be (6/(-135))/((-5)/15). What is the nearest to 0 in l, n, -3/8?
n
Let j be (-2)/(-7) - (-123)/(-210). Which is the nearest to 0.2? (a) 1/4 (b) 4 (c) j
a
Let r = 3 - 3. Let h = -2 - 2. Let i = h - -4.2. Which is the closest to -1? (a) r (b) -1/3 (c) i
b
Let p = 100 + -105. Which is the closest to 1? (a) p (b) 2/5 (c) -1.3
b
Let o = 102 + -106. What is the closest to 1 in -6, o, 5?
5
Let w = -1/3 - -1/12. Let l(r) = r**2 + 12*r - 17. Let t be l(-13). Which is the nearest to 1? (a) 5 (b) t (c) w
c
Suppose 2 = -3*k + 5. Which is the closest to 1? (a) 0.5 (b) -4/3 (c) k
c
Let f = -0.79 - -0.39. Which is the nearest to -3/2? (a) -2 (b) 0.1 (c) f
a
Suppose -y = 4*y - 2*i - 18, -3*y + 4*i = -8. Let a be 3/12 - 9/y. Let f = -1 - a. What is the closest to f in 5/4, 0.2, -3?
5/4
Let s = -46 + 139/3. Let w be 23/(-18) - 20/90. Which is the closest to w? (a) s (b) -0.1 (c) 4
b
Let z be (4 - 4) + (-328)/(-2046). Let o = -2/93 - z. Which is the closest to 0? (a) -1 (b) -0.3 (c) o
c
Let s be (-196)/48 - -4 - 1/6. Which is the nearest to -1/3? (a) 0.4 (b) s (c) -2/3
b
Let q = 582/7 - 83. Let t = -2.96 + -0.04. What is the closest to -2 in -0.1, t, q?
t
Let r be -2*(2/26 - 0). Let n = -0.3 - -0.2. Let i = -5.12 - -0.12. What is the closest to 1/4 in i, r, n?
n
Suppose 7 = 2*p - 1. Let r = p - 3. Let n = -0.1 + 0. What is the closest to 0.2 in -0.2, r, n?
n
Suppose -2 = -2*y + 3*y. Which is the closest to 0.2? (a) y (b) -5 (c) 1/2
c
Let l = -0.15 + 0.05. Let j = 0.2 - -1.8. Which is the closest to 0.1? (a) j (b) 1 (c) l
c
Let o = 4.9 + 0.1. Let u = 17 + -12. Let n = u - o. What is the nearest to n in 0.4, 0, 1/6?
0
Let k = 119 + -119.5. Let m = 1.6 + -2. What is the nearest to 0 in -3, k, m?
m
Let t = 9.4 - 9. Let d = -1.8 + 2. Which is the nearest to 1? (a) d (b) 1/3 (c) t
c
Let q be (-2)/(-12)*15 + -2. What is the closest to 0.3 in q, 1/11, -1/5?
q
Let m be ((-256)/240 - 2/(-5))/1. Let x = -1 + 0. Let z = 0 - x. What is the nearest to 0 in 1/4, z, m?
1/4
Let g = 0.4 + -4.4. Let j = g + 7. Let y = 4 - j. Which is the nearest to y? (a) 2 (b) 0.1 (c) -2/7
b
Suppose 0 = -5*y - 0*y - 5*m, -2*m - 3 = y. Let n = -6.3 - -6.8. Which is the closest to n? (a) 0.1 (b) -1 (c) y
a
Let o = 16.9 - 17. Which is the closest to o? (a) 1/3 (b) -0.1 (c) 3
b
Let c be 16/28 + 12/(-14). Let w = -1 + -2. What is the nearest to -2 in 4, c, w?
w
Suppose 0 = -8*p + 3*p + 5. Which is the nearest to -2/5? (a) -1 (b) p (c) 1/7
c
Let u = 12 + -82/7. Let t = -0.3 - -0.2. Let w = t - -0.3. What is the nearest to u in 1/2, 4, w?
w
Let y = -0.1 + 0.3. Let v = y + -0.6. Let d = 0.14 + -0.04. Which is the closest to d? (a) -1/6 (b) -3 (c) v
a
Let h = -3.9 + -0.1. Let v = -191/244 - -2/61. Which is the closest to v? (a) -2 (b) 2/9 (c) h
b
Suppose 0 = r - 5*r + 5*h + 54, 2*r - 20 = -h. Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
s.
0.000589
Round 0.000604043 to six decimal places.
0.000604
What is 47804.639 rounded to the nearest 10?
47800
Round 0.0000021511162 to seven dps.
0.0000022
Round 5.6346754 to three dps.
5.635
Round -2.373196 to one decimal place.
-2.4
Round -37.31051 to two decimal places.
-37.31
Round -16395.2 to the nearest one thousand.
-16000
What is 664224.2 rounded to the nearest 100000?
700000
Round 70086800 to the nearest 100000.
70100000
Round -36962.82 to the nearest ten thousand.
-40000
What is 9577879.6 rounded to the nearest 100000?
9600000
What is 114526.77 rounded to the nearest 1000?
115000
Round 112305.5 to the nearest 10000.
110000
Round 0.000001320615 to seven dps.
0.0000013
Round -35.08178 to zero dps.
-35
Round -0.000000058766 to seven decimal places.
-0.0000001
Round 84.234471 to 2 dps.
84.23
What is -0.0000849189 rounded to five decimal places?
-0.00008
What is -22287.7 rounded to the nearest 1000?
-22000
What is -9756390 rounded to the nearest 100000?
-9800000
Round 278900000 to the nearest one million.
279000000
What is 1251040 rounded to the nearest one hundred thousand?
1300000
Round -0.0000585839 to 7 decimal places.
-0.0000586
What is 688463 rounded to the nearest one hundred thousand?
700000
What is 0.00000015165 rounded to 7 dps?
0.0000002
What is -0.1044229 rounded to two dps?
-0.1
What is 3182.96 rounded to the nearest ten?
3180
Round -0.000003726588 to seven decimal places.
-0.0000037
Round -5.951911 to 1 decimal place.
-6
What is 13724.267 rounded to the nearest 100?
13700
What is -126092.4 rounded to the nearest 10000?
-130000
What is 0.000150421 rounded to six decimal places?
0.00015
What is -643.409 rounded to the nearest one hundred?
-600
What is 0.00000177305 rounded to six decimal places?
0.000002
What is 0.09955908 rounded to 4 dps?
0.0996
Round 14438700 to the nearest 1000000.
14000000
What is -465881 rounded to the nearest one hundred?
-465900
Round -14095.82 to the nearest 1000.
-14000
Round 0.00001745373 to seven dps.
0.0000175
Round 0.0000000683 to 7 dps.
0.0000001
Round -0.00140254 to 3 dps.
-0.001
What is 0.00001338599 rounded to seven decimal places?
0.0000134
Round 21229.37 to the nearest 1000.
21000
Round -16863.068 to the nearest 100.
-16900
Round -31.55198 to the nearest integer.
-32
Round -130906.13 to the nearest ten thousand.
-130000
Round -7.72167 to 1 dp.
-7.7
Round 74717.27 to the nearest 100.
74700
What is 7346.781 rounded to the nearest 1000?
7000
Round -2.925786 to two decimal places.
-2.93
Round -53026 to the nearest 1000.
-53000
Round 0.060408942 to 3 dps.
0.06
Round 12.318195 to one dp.
12.3
What is -0.013195613 rounded to four decimal places?
-0.0132
Round -46470610 to the nearest 100000.
-46500000
Round -2387.71 to the nearest one thousand.
-2000
Round -0.00046626317 to four decimal places.
-0.0005
What is 76.677 rounded to one dp?
76.7
What is 3464915 rounded to the nearest 1000?
3465000
What is -2139.592 rounded to zero dps?
-2140
What is -425206 rounded to the nearest 100000?
-400000
What is 4288.9 rounded to the nearest ten thousand?
0
Round 4789.3673 to the nearest 1000.
5000
What is 643.4388 rounded to 0 dps?
643
Round 1594412 to the nearest one hundred thousand.
1600000
Round 42888400 to the nearest one million.
43000000
What is 166695.7 rounded to the nearest 10000?
170000
Round 497328200 to the nearest 100000.
497300000
What is -0.00255877 rounded to three dps?
-0.003
Round -0.000963685 to five dps.
-0.00096
What is -0.9379883 rounded to 2 dps?
-0.94
What is -9126250 rounded to the nearest 1000000?
-9000000
Round -0.61503 to three dps.
-0.615
Round -1029283.2 to the nearest 100000.
-1000000
Round -2.353318 to 2 dps.
-2.35
What is 340.1561 rounded to the nearest 100?
300
What is -0.05319247 rounded to 3 dps?
-0.053
Round 0.01402472 to 5 dps.
0.01402
What is 16.791887 rounded to 1 decimal place?
16.8
Round 6.2105664 to two decimal places.
6.21
What is -0.000368285 rounded to 4 decimal places?
-0.0004
Round 12111600 to the nearest 10000.
12110000
Round 0.000749687 to 4 decimal places.
0.0007
What is 46.46197 rounded to 1 decimal place?
46.5
Round -0.00219583 to six decimal places.
-0.002196
Round 0.0000192157 to seven dps.
0.0000192
Round -0.0571599 to two decimal places.
-0.06
Round 18.631989 to 3 decimal places.
18.632
What is 2752.346 rounded to the nearest integer?
2752
What is -0.00705098 rounded to four dps?
-0.0071
Round -0.00000502663 to 6 decimal places.
-0.000005
What is 12.2503 rounded to the nearest 10?
10
Round 8133.8 to the nearest one hundred.
8100
Round 0.0001911628 to 7 dps.
0.0001912
What is -0.0090362 rounded to 4 decimal places?
-0.009
Round -169362.3 to the nearest 10000.
-170000
What is -16.8833 rounded to the nearest integer?
-17
What is -0.1992831 rounded to three decimal places?
-0.199
What is 0.004587461 rounded to 5 decimal places?
0.00459
What is 250.3644 rounded to the nearest ten?
250
What is 217.949 rounded to the nearest one hundred?
200
Round -0.00540188 to 5 dps.
-0.0054
Round 1.48006 to 1 dp.
1.5
What is -2.101465 rounded to 3 dps?
-2.101
What is 1.04857 rounded to 1 decimal place?
1
Round -1595489.6 to the nearest one hundred thousand.
-1600000
What is -2933390 rounded to the nearest 100000?
-2900000
Round -11750120 to the nearest 10000.
-11750000
What is 15090.35 rounded to the nearest 100?
15100
What is -0.000913289 rounded to five dps?
-0.00091
What is -78.814 rounded to the nearest 10?
-80
What is -43111.7 rounded to the nearest one thousand?
-43000
Round -0.5589185 to 1 decimal place.
-0.6
What is 0.0014363 rounded to four dps?
0.0014
What is 0.0078875994 rounded to three decimal places?
0.008
What is -1870.401 rounded to the nearest ten?
-1870
Round 0.2374406 to 3 dps.
0.237
What is 0.0146914626 rounded to 4 dps?
0.0147
What is -0.14938082 rounded to two decimal places?
-0.15
What is 371.18013 rounded to the nearest integer?
371
Round 6960.45 to the nearest 1000.
7000
Round 43.82952 to the nearest integer.
44
Round 14.6662 to the nearest ten.
10
Round 0.0156439 to three dps.
0.016
Round -0.0000016276778 to 7 decimal places.
-0.0000016
What is 330.8145 rounded to the nearest integer?
331
Round -4119630.7 to the nearest 100000.
-4100000
What is 0.11897215 rounded to 1 decimal place?
0.1
Round 0.0003276052 to 5 decimal places.
0.00033
Round -28240040 to the nearest 1000000.
-28000000
Round 34413500 to the nearest one million.
34000000
Round -1364.8 to the nearest one hundred.
-1400
What is 241421 rounded to the nearest ten thousand?
240000
Round 1.321074 to 1 decimal place.
1.3
What is 406820000 rounded to the nearest one million?
407000000
Round -535.916 to the nearest ten.
-540
Round -6.543661 to zero decimal places.
-7
Round 3604275 to the nearest 1000.
3604000
What is 0.0000009025433 rounded to 7 decimal places?
0.0000009
Round -27683.933 to the nearest 10000.
-30000
Round -87.4402 to the nearest ten.
-90
What is 16152.126 rounded to the nearest 100?
16200
Round -0.041977 to 2 dps.
-0.04
What is -0.000523936 rounded to 4 decimal places?
-0.0005
Round 5.24147 to 2 dps.
5.24
What is 303270600 rounded to the nearest 1000000?
303000000
What is -9567059 rounded to the nearest 10000?
-9570000
What is 0.00072495931 rounded to 6 dps?
0.000725
Round -2153694 to the nearest 10000.
-2150000
Round 136406.72 to the nearest one thousand.
136000
Round 0.0000476368 to seven decimal places.
0.0000476
Round -0.0003222083 to 5 dps.
-0.00032
Round 0.598408 to 2 dps.
0.6
What is 2.70424 rounded to 1 dp?
2.7
What is 5065.935 rounded to the nearest ten?
5070
Round -4825.2 to the nearest 1000.
-5000
Round -0.153576 to two dps.
-0.15
What is -0.0004404685 rounded to 5 decimal places?
-0.00044
Round 18352.5 to the nearest one thousand.
18000
Round 0.000000864802 to 7 dps.
0.0000009
Round -0.0001912749 to 4 decimal places.
-0.0002
What is -1743.821 rounded to the nearest 10?
-1740
What is -226639400 rounded to the nearest one hundred thousand?
-226600000
Round 2.2065977 to one decimal place.
2.2
Round -15178.79 to the nearest ten.
-15180
Round 0.0010205028 to 5 dps.
0.00102
What is -5.72047 rounded to one dp?
-5.7
Round -6280.6 to the nearest one thousand.
-6000
What is -2988.595 rounded to the nearest one hundred?
-3000
What is 5.55996 rounded to 2 decimal places
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 4*n + v = 942, 0*n + 5*v - 245 = -n. Let k = a + n. What is the tens digit of k?
8
Let w = -304 + -1305. Let d = -473 - w. What is the thousands digit of d?
1
What is the units digit of (-78*(-5061)/(-84))/(3/(-2))?
3
Suppose 0 = -47*o + 43*o - 40. Let d be ((-4)/o)/(27/(-45))*-3. Suppose i = -2*t + 65, d*i - 77 = i + 4*t. What is the tens digit of i?
6
Suppose -4*c = 12*i - 17*i + 29307, 5*i + 3*c = 29321. What is the tens digit of i?
6
What is the ten thousands digit of 2/(-12) + (9/(-1) - 1683737/(-66))?
2
Suppose 0 = u + n - 6 - 5, 4*u - 46 = -2*n. Suppose 44*f = 41*f + 564. Suppose 14*q - f = u*q. What is the tens digit of q?
9
Suppose -33*y + 28*y + 4640 = 0. Suppose o - x = 2*o - y, 2*o = x + 1859. What is the hundreds digit of o?
9
Let n = 34227 + -15121. What is the tens digit of n?
0
Let l(r) = -r**3 - 2*r**2 + 333. Suppose -191*t = -193*t. What is the hundreds digit of l(t)?
3
Let s = 183 + -177. What is the units digit of (-155)/(1*s/(-30))?
5
Let u(x) = -70*x**3 - 7*x**2 - 2*x + 7. Let k(g) = 70*g**3 + 6*g**2 + g - 6. Let s(c) = -7*k(c) - 6*u(c). What is the units digit of s(-2)?
0
What is the thousands digit of (-18495)/((-42)/14) + -12?
6
Suppose 0*b - 33 = 2*b + 5*i, -30 = 5*b + 2*i. Let f(c) = 24*c - 180. Let g be f(7). What is the hundreds digit of ((-158)/b)/(6/g)*-3?
2
What is the tens digit of 11340/(-900)*(-3)/(3/1835)?
2
Suppose -2*g + 51 = 7. Suppose 0 = 4*u - 10 + g. Let k(c) = -c + 5. What is the units digit of k(u)?
8
Suppose h = -41 + 45. Suppose 3*i = 2*z - 2862, i + 5720 = 4*z - h*i. What is the units digit of z?
5
Suppose -3*f + 2527 = -4*d - 1524, -2*f + 2*d = -2698. Let a = f - 660. What is the hundreds digit of a?
6
Let j(l) = -9*l**3 + 44*l**2 + 35*l + 22. Let d(o) = 5*o**3 - 22*o**2 - 18*o - 11. Let i(v) = 7*d(v) + 4*j(v). What is the tens digit of i(22)?
1
Let j = 26 + -56. What is the units digit of (-384)/(-180) + 4/j?
2
Suppose -11*v = -2*v - h - 42921, -2*v + 5*h = -9538. What is the units digit of v?
9
Let b = -224 + 218. What is the tens digit of (-886)/(-3)*(-5)/(20/b)?
4
Suppose 4*y + 7 = 31. Let g = y - 4. Suppose -g*v + 71 = 2*i - 23, 0 = v + 2*i - 43. What is the tens digit of v?
5
Let m(i) = 99*i**3 - i**2. Let r be m(-1). Let g = r + 197. Let j = g + 19. What is the hundreds digit of j?
1
Let o(p) = p**3 + 7*p**2 - 7*p + 12. Let m be o(-8). Suppose h - 905 = -w - 37, -m*h = -4*w + 3512. What is the tens digit of w?
7
What is the thousands digit of (7/(-84)*-20)/((-2)/6) - -20043?
0
Suppose 0 = 71*k - 481956 + 145061. What is the tens digit of k?
4
Let i(s) = -1576*s + 6116. What is the ten thousands digit of i(-25)?
4
Let g(k) = -k**3 + 33*k**2 + 38*k - 133. Let w be g(34). Suppose 5*l - 3*d = 2638, d = l + w*l - 2116. What is the units digit of l?
0
Suppose 19*s - 3665 - 3213 = 0. Let t = -186 + s. What is the hundreds digit of t?
1
What is the tens digit of (-6680630)/(-2310) + 1/(-21)?
9
Let q be (-2 + 40)*(84/8)/7. Let t = q + 171. What is the tens digit of t?
2
Let j(i) = -i**2 - 161*i - 163. What is the units digit of j(-51)?
7
What is the thousands digit of ((-1992)/581)/((-1)/875)?
3
What is the thousands digit of (5 - (-29)/(-5)) + 158316/20?
7
Let y(c) = c**2 - 26*c + 42. Let r be y(25). Let g(k) = 27*k - 33. What is the tens digit of g(r)?
2
Suppose 6389 = -17*r + 53495 + 50457. What is the tens digit of r?
3
Let s(u) = 42*u**3 - u**2. Let y(i) = 43*i**3 - 2*i**2 + 1. Let d(l) = -7*s(l) + 6*y(l). What is the hundreds digit of d(-2)?
2
Suppose 5*z + 7*z - 70029 = 3*z. What is the thousands digit of z?
7
Let x be (-276 - (-40)/(-8)) + -5. Let f(h) = -69*h + 3. Let k be f(3). Let a = k - x. What is the tens digit of a?
8
Let q be 543*(-1)/9*3. Let g = -24 - q. Let u = 312 - g. What is the tens digit of u?
5
Suppose 456371 = 92*b - 28*b + 43379. What is the tens digit of b?
5
Let q(p) = -5 + 0*p**2 - p**3 - 3*p**2 + 2*p**3 + 8*p**2 - 8*p. Let c be 100/60*(-1 - 2). What is the units digit of q(c)?
5
Let a = -350 + 353. Suppose -3*i - 2*y = 602 - 2103, -1504 = -a*i + y. What is the tens digit of i?
0
Suppose 5*j - 25 = 4*j. Let z = j - -18. Suppose -5*g + z + 72 = 0. What is the tens digit of g?
2
Let m = 5233 - 3943. What is the units digit of m?
0
Let x(t) = t**3 - 5*t**2 + 5*t - 14. Let i be x(10). Suppose 10*d = 9*d + i. What is the tens digit of d?
3
Let d = 48 + -39. Suppose 0 = -3*m - 4*k + 8 + 4, 0 = 5*m - 3*k + d. Suppose 2052 = 9*i - m*i. What is the units digit of i?
8
Let g be 1690/2 - (-7 + 11). Suppose -2*m - 5*r = -g, 3*r - 5*r = -5*m + 2030. What is the units digit of m?
8
Let u be (-30)/225 + (-412)/60. What is the units digit of u/28*4*-827?
7
Let j(b) = -4 - 6 + 47*b - 1105*b + 6 - 6. What is the hundreds digit of j(-1)?
0
Let z(o) = -o**2 - 20*o + 21. Let x(d) = 2*d. Let p(a) = -6*x(a) - z(a). Suppose 2*y + 68 = -2*y. What is the tens digit of p(y)?
3
Suppose -356 = 6*a + 1366. What is the units digit of (a/3)/(21/(-126))?
4
Let z = 32 - 29. Suppose z*u = 106 + 164. Suppose -2*k + u = -4. What is the units digit of k?
7
Let n = 739 - 207. Let i = -227 + n. What is the tens digit of i?
0
Let b(x) = x**3 + 20*x**2 - 18*x - 3. Let m be b(-20). Let q = m + -93. What is the units digit of q?
4
Let q(a) = a - 29. Let b be q(18). Let v(w) = 11*w - 34. Let u(r) = r**2 + 34*r - 103. Let m(s) = b*v(s) + 4*u(s). What is the tens digit of m(7)?
6
Suppose 69465 = 3*m - 12930. What is the ten thousands digit of m?
2
Let o(m) = m**3 + 15*m**2 - 9*m + 11. Suppose -5*a = -12*a - 56. What is the tens digit of o(a)?
3
Let m be 1/(1*3/15). Suppose 0 = m*o - 10*o + 50. Let j(u) = -u**2 + 17*u + 7. What is the units digit of j(o)?
7
Suppose 91 = -5*q + 66. What is the hundreds digit of 570*q*5/(-75)?
1
Let q be (6 - 10) + -1 + -57. Let w = -72 - q. What is the tens digit of (-1584)/(-45) - 8/w?
3
What is the ten thousands digit of (-2 - 6) + (-12180244)/(-277)?
4
What is the units digit of (216/(-90))/(((-24837)/24810 - -1)/3)?
6
Suppose 83*m - 592353 = -6*m + 310819. What is the hundreds digit of m?
1
Let f be 30/45 + (-188)/(-3)*-1. Let g = f + 57. Let n(i) = -2*i**3 - 5*i**2 + 4*i - 3. What is the tens digit of n(g)?
0
Let q(x) = 124*x**2 + 2*x + 15262. What is the thousands digit of q(0)?
5
Suppose 4*y = -g + 4087, -5*y + 4082 = 28*g - 27*g. What is the hundreds digit of g?
1
Let d = 204 + 219. Let r = 1158 - d. Suppose 0 = -5*a + 3*f + r, -a + 135 = f - 4*f. What is the tens digit of a?
5
Suppose 7*z = -114 + 65. Let d(a) = -3 - 5*a + 19 - 2. What is the tens digit of d(z)?
4
Let z = 2530 - 2385. What is the units digit of z?
5
Let d = 3720 + 2510. What is the hundreds digit of d?
2
Suppose n + 2*l + 2117 = -0*n, 2*l + 10553 = -5*n. What is the units digit of 15/10 + n/(-6)?
3
Let f = 699 - 206. What is the tens digit of f?
9
Let k(x) = 3515*x - 40. Let l(i) = -251*i + 3. Let a(y) = 6*k(y) + 85*l(y). What is the tens digit of a(-6)?
8
Let a = 44660 - 27948. What is the hundreds digit of a?
7
Let u(x) = 7*x**2 - 2*x - 3. Let p be u(2). Suppose -n + 31 + p = 0. What is the tens digit of n?
5
Let k(f) be the first derivative of 46*f**2 + 29*f + 40. What is the units digit of k(4)?
7
Let b = 2823 - 1930. Let g = b - 603. What is the hundreds digit of g?
2
Let d be 73/(-219) + (-82)/(-3). What is the units digit of 22848/d + (-24)/108?
6
Suppose -4*t - 4*y = -2*y - 6476, 3*t = -3*y + 4863. Let b = t - 300. What is the thousands digit of b?
1
Suppose -72*t - x + 103553 = -69*t, 2*t = 5*x + 69024. What is the units digit of t?
7
Let f(b) = b**3 + 2*b**2 + 5*b + 2. Let a be f(6). Suppose -4*x + 862 = 202. Let i = a - x. What is the tens digit of i?
5
Let c(d) = -d**3 - 65*d**2 - 2*d + 118. What is the tens digit of c(-65)?
4
Suppose -n - 3*c - 36 = 2*n, 5*n + 3*c + 52 = 0. What is the hundreds digit of 1 + n/10 - 16023/(-35)?
4
Suppose 0 = -2*y - 3 - 1, 0 = 5*b - 5*y - 25. Suppose -b*v + 355 - 65 = u, 0 = -u + 5*v + 330. What is the tens digit of u?
0
What is the thousands digit of (0 + 2830/3)/(19*(-11)/(-2508))?
1
Let g(p) be the first derivative of -p**4/4 - p**3/3 + 3*p**2/2 + 18*p + 38. Let c be g(5). Let k = 129 + c. What is the units digit of k?
2
Let u(m) be the third derivative of m**5/60 + m**4/2 - 31*m**3/6 - 24*m**2. Let f be u(-15). Suppose -f = -5*w + 716. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
-2 + z/((-3)/22). Calculate the greatest common factor of 50 and b.
10
Suppose -4*a + b = -39, 4*a = 2*b - 12 + 50. What is the highest common factor of a and 40?
10
Suppose -4*a - 7*n = -5*n - 226, 2*n - 2 = 0. Calculate the highest common factor of 8 and a.
8
Let a be (-4 + 1)*-1 + 18. Calculate the highest common divisor of a and 21.
21
Let m = 27 - 16. What is the greatest common divisor of 44 and m?
11
Suppose -3*y + 2*t + 2*t + 21 = 0, 21 = 4*y - 3*t. Suppose -4*q + 27 = -57. What is the greatest common factor of y and q?
3
Let w be 2 + (-5)/(5/2). Suppose w*o + 19 = -o. Let h = -9 - o. Calculate the highest common factor of h and 110.
10
Let i be (-2)/(-4) + 60/8. Suppose i = 4*f, 4*f + 18 = 2*r + 3*f. Calculate the greatest common divisor of r and 5.
5
Let h(v) = -v + 4. Let u(y) = 2*y - 1. Let d be u(3). Let x be h(d). Let m be (-6 - x)*(2 + -4). What is the highest common factor of m and 4?
2
Suppose 0 = -3*b - 2*j + 205, -3*b + 2*j + 212 = -3*j. Calculate the highest common factor of 23 and b.
23
Let n = -105 - -226. Calculate the highest common factor of n and 11.
11
Suppose 3*v + v = 4*a - 12, -4 = -a. What is the highest common factor of 11 and v?
1
Suppose a = 5*a - 308. Suppose x = f - 11 + 2, -4*f - 2*x = -48. Calculate the highest common divisor of f and a.
11
Let m(g) = 173*g + 1. Let l be m(-1). Let o = -108 - l. Let t be -1 + 2 + (-1 - -8). Calculate the greatest common divisor of t and o.
8
Let l = -8 + 18. Calculate the highest common factor of l and 55.
5
Let f(q) = 0*q + 10*q**2 - 9 - 2*q**2 + q**3 - 2*q. Let i be f(-7). Let y(z) = -z**3 - z**2 + 3*z. Let b be y(-4). What is the highest common factor of b and i?
18
Let j(m) = 5*m**2 + 18*m + 46. Let p be j(-12). Calculate the highest common divisor of p and 50.
50
Let o = 1 - -44. Calculate the highest common divisor of o and 60.
15
Let i = -12 + 22. What is the highest common factor of i and 5?
5
Let s(i) = -12*i**2 + 3*i - 1. Let z(m) = -13*m**2 + 3*m - 1. Let o(f) = 3*s(f) - 4*z(f). Let d be o(3). Calculate the greatest common divisor of 17 and d.
17
Suppose x + 10 = -2*p - 1, 4*p + 25 = -3*x. Let u be (3 + p)/(2/(-10)). Calculate the highest common factor of u and 20.
5
Suppose -3 = s, 3*s = 4*z - 0*s - 33. Let r = -82 - -38. Let c = 10 - r. Calculate the greatest common divisor of z and c.
6
Let o be (6 - 1)/((-1)/(-1)). Suppose -8*p = i - 3*p - 44, -o*i - 5*p + 140 = 0. Let z be ((-2)/(-4))/(2/i). Calculate the greatest common divisor of z and 36.
6
Let v = -16 - -29. What is the highest common divisor of v and 26?
13
Suppose 166 + 8 = 3*g. What is the greatest common factor of 29 and g?
29
Suppose 5*b = -5*r + 130, 10 = 3*r - r. Calculate the greatest common factor of 6 and b.
3
Let b = 200 - 190. Let y = -9 - -15. Suppose w - y = -1. Calculate the highest common factor of w and b.
5
Let q(u) = u**3 - 7*u**2 + u - 5. Let d be q(7). Suppose 15 = z + d*z. Suppose -z*g = -g - 136. Calculate the highest common divisor of 51 and g.
17
Suppose 148 = 2*f + 3*u, 5*f - 5*u - 176 = 219. What is the highest common divisor of 11 and f?
11
Suppose -h = 2*z - 11, 0*z - 4*h - 6 = -2*z. Calculate the highest common factor of 45 and z.
5
Suppose 0*o - 78 = -6*o. Suppose 2*z - 176 = -0*z. Let v = z + -36. What is the highest common divisor of o and v?
13
Let k be (1/(-2))/((-2)/108). Let y(v) = v**2 - 6*v + 6. Let w be y(6). Suppose 5*j - 96 + w = 0. What is the highest common divisor of j and k?
9
Suppose -7*z + 224 - 49 = 0. Let t = -2 - -12. What is the greatest common factor of t and z?
5
Let d be 4/6 - (-56)/(-3). Let y be (24/d)/((-2)/6). What is the greatest common factor of y and 12?
4
Suppose 5*q - 3 = -23. Let f be 2*q/(32/(-28)). Calculate the highest common divisor of 7 and f.
7
Let o = -52 + 55. Calculate the greatest common divisor of 12 and o.
3
Let h = 86 - 46. Let z be 456/h + (-4)/10. Calculate the highest common divisor of 44 and z.
11
Let z(n) = -n + 2. Let o = 0 - 0. Let x be z(o). Suppose -3*m - 2*i = x*m - 190, -m = i - 35. Calculate the highest common factor of 16 and m.
8
Suppose -2*k = k. Suppose o + 2*c = -k*o, 3*o = 5*c. Let y = o + 10. Calculate the greatest common factor of 80 and y.
10
Suppose 5*l - 279 = 41. Let b be l + 2/(-2 - 0). What is the greatest common divisor of b and 9?
9
Suppose 45 = -4*i - 63. Let g be i/(2*(-9)/12). Calculate the highest common divisor of g and 45.
9
Let w be 2/(-11) + 24/11. Suppose w*k = 5*n - 2*n - 13, -4*k = 4*n - 44. What is the greatest common divisor of n and 28?
7
Let a = -16 - -4. Let g = 92 + a. Calculate the highest common divisor of 20 and g.
20
Let h = 108 - 54. Calculate the highest common factor of h and 6.
6
Let a(s) = -7*s - s**2 + 13 - 3*s + 0*s. Let d be a(-9). What is the greatest common factor of 220 and d?
22
Let n(u) = -u**3 + 15*u**2 + 32*u + 35. Let a be n(17). Let s be ((-10)/3)/(2/(-6)). What is the highest common divisor of s and a?
1
Suppose 25 = -8*u + 3*u. Let n = 1 - u. Calculate the highest common divisor of 42 and n.
6
Suppose 0 = -4*v + 166 + 142. What is the highest common divisor of v and 22?
11
Let r be 2*1 - (-6)/2. Let p = 9 - r. Suppose -p*l + 2*l + 12 = 0. Calculate the greatest common factor of l and 2.
2
Let i be 3*(1 - -1)/(-6). Let z be i/(-3) + (-334)/(-6). Calculate the highest common factor of z and 7.
7
Suppose -a + 7*a = 18. Calculate the greatest common divisor of a and 2.
1
Let q = 2 + 2. What is the greatest common factor of q and 44?
4
Suppose 4*m = -5*m + 360. What is the greatest common divisor of m and 440?
40
Let b be (-338)/(-5) + (-2)/(-5). Suppose -3*f + b = f. Let v be 688/20 - (-4)/(-10). Calculate the greatest common factor of v and f.
17
Suppose -i - 13 + 14 = 0. Calculate the greatest common factor of 7 and i.
1
Let i = -75 + 135. Let m be ((-1)/(-3))/(5/i). Suppose c + m*c - 474 = 4*g, 2*g - 204 = -2*c. Calculate the greatest common factor of c and 14.
14
Let v = -29 + 18. Let q(o) = -o**2 - 13*o - 13. Let p be q(v). Let w = 94 - 67. Calculate the greatest common divisor of p and w.
9
Suppose f = -0*f + 4. Suppose -c + d + 5 = -3*d, -25 = -5*c - f*d. What is the greatest common divisor of c and 45?
5
Let m(q) = q**3 - 4*q**2 - 8*q + 9. Let t be m(7). Suppose 3*l - t = -2*l. Let r(h) = 2*h - 9. Let w be r(7). What is the greatest common divisor of l and w?
5
Suppose -11 = -3*a + 4*q, 4*a + q = -2*q + 23. Let b = a - -7. What is the highest common divisor of 84 and b?
12
Let k be (28/5)/((-3)/(-60)). What is the greatest common divisor of k and 7?
7
Suppose -2*h + 2*a - a = -11, -21 = -4*h + a. Let s(r) = r**2 - 4*r + 1. Let w be s(h). Calculate the highest common divisor of 24 and w.
6
Let j be (-5)/(-3) - 4/(-12). Suppose 2*i = k - 36 + 396, -5*i = -j*k - 900. Suppose -i = -6*u + u. Calculate the greatest common factor of u and 4.
4
Let k = 7 + -5. Suppose 0 = 5*m - k*m - 240. Calculate the highest common factor of 10 and m.
10
Let b be (-150)/(-7) + 12/21. Calculate the highest common factor of b and 2.
2
Let k = -67 + 127. Suppose -6*t + k = 5*s - 2*t, -12 = -s - 2*t. What is the highest common divisor of 6 and s?
6
Let o(s) be the second derivative of s**5/20 + 11*s**2 - 4*s. Let l be o(0). Calculate the greatest common factor of 198 and l.
22
Let a = 47 + -36. Calculate the greatest common factor of 88 and a.
11
Let b be (28/(-12))/7*-33. Suppose 5*c - 75 = -5*l, c = -c - 4*l + 38. What is the greatest common factor of b and c?
11
Suppose x = 2*x. Let t be x - 8/(-2) - 1. Suppose t*l - l = 8. What is the highest common divisor of l and 36?
4
Let f = -1 - -3. Suppose -4*r - 5*h + 1 = 0, h - 4*h + 3 = 3*r. Suppose 3*s = -r*y + 16, f*s = -s + 5*y + 34. What is the highest common factor of 24 and s?
8
Suppose 5*v = -5*j + 1185, -2*j - v = -507 + 30. Calculate the greatest common divisor of j and 10.
10
Suppose 0 = 4*u - 7*u - s + 59, 2*u - 46 = -2*s. What is the greatest common divisor of u and 6?
6
Suppose -5*m = -0*s + 2*s + 1, -s - 3*m - 1 = 0. Suppose s*f - 4*f + 30 = -4*w, w - 6 = -f. Let z = 44 - 17. What is the highest common divisor of z and f?
9
Suppose -2*z + 50 = -2*i, 8*z - 11*z + i + 67 = 0. What is the greatest common factor of z and 49?
7
Let p be -9 + 2 + 0 + 1. Let t(o) = o**3 + 5*o**2 - 9*o - 6. Let y be t(p). Suppose -5*n + 1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
is 517 minutes after 3:19 PM?
11:56 PM
What is 405 minutes before 9:39 AM?
2:54 AM
How many minutes are there between 8:48 PM and 6:34 AM?
586
How many minutes are there between 8:12 PM and 7:56 AM?
704
How many minutes are there between 11:05 PM and 4:22 AM?
317
What is 530 minutes after 8:54 PM?
5:44 AM
What is 374 minutes after 8:37 AM?
2:51 PM
How many minutes are there between 1:05 AM and 3:43 AM?
158
How many minutes are there between 5:05 PM and 3:15 AM?
610
What is 620 minutes after 5:50 AM?
4:10 PM
How many minutes are there between 1:53 AM and 5:04 AM?
191
How many minutes are there between 7:15 AM and 7:04 PM?
709
How many minutes are there between 2:10 AM and 11:54 AM?
584
What is 158 minutes after 12:28 AM?
3:06 AM
What is 253 minutes before 6:22 PM?
2:09 PM
What is 353 minutes after 2:20 AM?
8:13 AM
What is 678 minutes after 8:42 PM?
8:00 AM
How many minutes are there between 4:47 AM and 8:42 AM?
235
What is 419 minutes before 3:24 AM?
8:25 PM
How many minutes are there between 7:36 PM and 7:24 AM?
708
What is 353 minutes before 11:33 AM?
5:40 AM
How many minutes are there between 12:40 PM and 7:38 PM?
418
How many minutes are there between 11:31 PM and 5:25 AM?
354
What is 148 minutes after 3:20 AM?
5:48 AM
How many minutes are there between 10:34 AM and 12:12 PM?
98
What is 186 minutes before 5:33 PM?
2:27 PM
What is 643 minutes before 6:34 AM?
7:51 PM
What is 448 minutes after 6:08 AM?
1:36 PM
How many minutes are there between 10:21 PM and 3:34 AM?
313
How many minutes are there between 7:44 PM and 7:43 AM?
719
What is 612 minutes before 5:04 AM?
6:52 PM
How many minutes are there between 5:20 PM and 12:43 AM?
443
What is 546 minutes before 12:28 PM?
3:22 AM
How many minutes are there between 2:12 PM and 1:15 AM?
663
What is 599 minutes after 6:20 PM?
4:19 AM
What is 265 minutes before 10:27 PM?
6:02 PM
How many minutes are there between 6:39 AM and 1:05 PM?
386
What is 628 minutes before 3:28 AM?
5:00 PM
How many minutes are there between 9:39 AM and 10:30 AM?
51
What is 457 minutes before 3:31 AM?
7:54 PM
How many minutes are there between 7:23 AM and 5:50 PM?
627
How many minutes are there between 12:04 PM and 8:25 PM?
501
What is 53 minutes after 9:21 AM?
10:14 AM
How many minutes are there between 2:41 AM and 1:12 PM?
631
How many minutes are there between 8:31 PM and 5:34 AM?
543
What is 459 minutes after 1:08 AM?
8:47 AM
How many minutes are there between 5:51 PM and 5:00 AM?
669
How many minutes are there between 4:22 AM and 6:22 AM?
120
What is 59 minutes before 9:23 PM?
8:24 PM
How many minutes are there between 9:17 AM and 2:44 PM?
327
What is 315 minutes before 11:44 PM?
6:29 PM
How many minutes are there between 6:40 AM and 5:03 PM?
623
How many minutes are there between 1:41 AM and 6:44 AM?
303
What is 354 minutes after 8:07 PM?
2:01 AM
What is 557 minutes before 11:05 AM?
1:48 AM
How many minutes are there between 11:13 PM and 12:35 AM?
82
How many minutes are there between 4:36 PM and 9:29 PM?
293
What is 514 minutes before 5:03 AM?
8:29 PM
How many minutes are there between 4:30 PM and 9:40 PM?
310
What is 115 minutes before 12:29 PM?
10:34 AM
How many minutes are there between 5:15 PM and 4:59 AM?
704
How many minutes are there between 12:27 AM and 1:21 AM?
54
How many minutes are there between 8:30 AM and 7:01 PM?
631
How many minutes are there between 12:58 PM and 3:01 PM?
123
How many minutes are there between 8:24 PM and 10:34 PM?
130
What is 557 minutes before 6:50 PM?
9:33 AM
How many minutes are there between 5:59 PM and 9:21 PM?
202
What is 292 minutes before 8:16 PM?
3:24 PM
How many minutes are there between 6:35 PM and 5:42 AM?
667
What is 472 minutes before 7:12 PM?
11:20 AM
What is 50 minutes after 7:37 AM?
8:27 AM
What is 556 minutes before 11:12 PM?
1:56 PM
What is 158 minutes after 12:07 PM?
2:45 PM
What is 404 minutes before 12:39 PM?
5:55 AM
What is 173 minutes after 2:20 PM?
5:13 PM
What is 266 minutes before 3:40 AM?
11:14 PM
What is 672 minutes after 8:00 PM?
7:12 AM
What is 298 minutes before 4:05 AM?
11:07 PM
What is 466 minutes before 12:29 PM?
4:43 AM
How many minutes are there between 2:48 AM and 4:19 AM?
91
What is 400 minutes after 11:36 PM?
6:16 AM
What is 328 minutes before 1:23 AM?
7:55 PM
How many minutes are there between 1:54 AM and 11:03 AM?
549
What is 505 minutes before 4:51 AM?
8:26 PM
How many minutes are there between 8:37 PM and 7:42 AM?
665
What is 171 minutes after 2:10 PM?
5:01 PM
What is 549 minutes before 9:48 PM?
12:39 PM
What is 166 minutes before 5:37 AM?
2:51 AM
How many minutes are there between 8:33 AM and 3:45 PM?
432
How many minutes are there between 2:48 PM and 3:47 PM?
59
What is 474 minutes before 11:56 PM?
4:02 PM
What is 71 minutes after 3:43 PM?
4:54 PM
What is 582 minutes after 6:18 AM?
4:00 PM
How many minutes are there between 2:53 AM and 2:48 PM?
715
How many minutes are there between 7:52 PM and 11:23 PM?
211
How many minutes are there between 9:26 AM and 11:51 AM?
145
What is 342 minutes after 12:49 PM?
6:31 PM
How many minutes are there between 1:33 PM and 3:17 PM?
104
How many minutes are there between 12:38 PM and 12:22 AM?
704
What is 611 minutes before 10:33 AM?
12:22 AM
What is 160 minutes after 7:57 PM?
10:37 PM
What is 117 minutes after 6:30 AM?
8:27 AM
What is 394 minutes before 1:47 AM?
7:13 PM
What is 51 minutes before 5:34 AM?
4:43 AM
What is 25 minutes before 4:00 PM?
3:35 PM
What is 27 minutes before 4:23 AM?
3:56 AM
How many minutes are there between 7:48 PM and 3:50 AM?
482
How many minutes are there between 7:57 AM and 3:49 PM?
472
How many minutes are there between 1:08 PM and 8:44 PM?
456
How many minutes are there between 7:25 PM and 12:29 AM?
304
What is 504 minutes after 9:20 PM?
5:44 AM
How many minutes are there between 12:30 AM and 12:16 PM?
706
What is 490 minutes before 3:52 AM?
7:42 PM
How many minutes are there between 7:14 AM and 4:09 PM?
535
What is 582 minutes before 2:48 AM?
5:06 PM
How many minutes are there between 9:32 PM and 8:16 AM?
644
What is 243 minutes before 11:46 AM?
7:43 AM
How many minutes are there between 11:14 PM and 12:16 AM?
62
What is 142 minutes before 4:11 AM?
1:49 AM
How many minutes are there between 1:21 AM and 7:46 AM?
385
What is 406 minutes before 3:42 PM?
8:56 AM
How many minutes are there between 6:09 AM and 11:40 AM?
331
What is 6 minutes after 10:28 AM?
10:34 AM
How many minutes are there between 6:28 AM and 6:39 AM?
11
How many minutes are there between 12:18 PM and 3:42 PM?
204
How many minutes are there between 2:38 AM and 11:05 AM?
507
What is 636 minutes after 12:18 PM?
10:54 PM
How many minutes are there between 12:36 PM and 11:22 PM?
646
What is 4 minutes before 4:14 AM?
4:10 AM
How many minutes are there between 4:18 AM and 6:46 AM?
148
What is 481 minutes after 8:37 PM?
4:38 AM
How many minutes are there between 12:16 PM and 10:25 PM?
609
What is 41 minutes before 12:05 AM?
11:24 PM
How many minutes are there between 8:55 PM and 3:53 AM?
418
What is 101 minutes before 9:17 AM?
7:36 AM
How many minutes are there between 9:28 PM and 8:07 AM?
639
How many minutes are there between 10:21 PM and 12:40 AM?
139
How many minutes are there between 5:49 AM and 5:08 PM?
679
What is 404 minutes after 2:11 PM?
8:55 PM
What is 714 minutes before 4:59 PM?
5:05 AM
How many minutes are there between 12:42 PM and 12:54 PM?
12
What is 325 minutes after 9:36 AM?
3:01 PM
How many minutes are there between 2:41 PM and 7:44 PM?
303
What is 295 minutes before 9:25 PM?
4:30 PM
What is 115 minutes after 3:27 PM?
5:22 PM
What is 56 minutes after 1:46 PM?
2:42 PM
What is 90 minutes before 5:41 AM?
4:11 AM
How many minutes are there between 11:23 AM and 8:09 PM?
526
What is 456 minutes before 7:47 PM?
12:11 PM
How many minutes are there between 8:02 AM and 2:18 PM?
376
How many minutes are there between 6:07 PM and 10:46 PM?
279
What is 244 minutes before 8:09 PM?
4:05 PM
What is 672 minutes after 5:18 PM?
4:30 AM
What is 191 minutes after 5:07 AM?
8:18 AM
What is 399 minutes before 6:15 PM?
11:36 AM
How many minutes are there between 9:44 AM and 6:53 PM?
549
What is 315 minutes before 3:27 AM?
10:12 PM
What is 27 minutes before 11:16 PM?
10:49 PM
How many minutes are there between 4:12 AM and
|
{
"pile_set_name": "DM Mathematics"
}
|
alue of 35 + -3 + -10 + 8 - 15?
15
-54 - (-57 - -29) - -41
15
Calculate 41 + -33 + (0 - -4 - 1).
11
Evaluate 14 - 2 - (-43 + 41 - 5).
19
What is (0 - -6) + (16 - 13) - 13?
-4
What is the value of -18 + 5 + 29 - 13?
3
What is -1 - -29 - (19 + (2 - 11))?
18
What is the value of -17 + (-25 - (-20 + 6 + 0))?
-28
What is 9 + 4 + 7 + 6 + -22?
4
Calculate (273 - 274 - (-8 + -2 + 1)) + 12.
20
Calculate (4 - -2) + (-4 - 10).
-8
Calculate -8 + 16 + (9 - 7 - 39).
-29
Calculate (-16 - (-14 - (-21 + 18))) + -9.
-14
Evaluate 54 + -67 - (0 + -5).
-8
0 - (-210 + 185 - (-5 + 0))
20
What is the value of 11 + -29 + 10 + 21 + 7 + 0?
20
Evaluate 12 - 0 - (152 - 146) - 3.
3
Evaluate 9 + -9 + -11 - (-5 - -9).
-15
Evaluate (-21 - (-31 - -9)) + (0 - -1).
2
What is -7 + (5 - 8 - -16) - 10?
-4
Evaluate -2 - 6 - ((3 - -2 - 11) + 5).
-7
Calculate (12 + -17 - -22) + -27.
-10
Calculate -12 + (27 - 15) + 4 + 1.
5
Calculate -28 - (-13 + 37 - 51).
-1
-802 + 808 + (1 + -25 - 0)
-18
What is the value of 77 - 62 - (3 + 3)?
9
Evaluate 12 - (-5 - -13) - (9 + 2).
-7
What is 11 - ((-11 - -19 - 4) + -14)?
21
What is 9 - (72 - 70 - (1 - -4))?
12
9 + -6 + -5 - (-8 + -7 + 33)
-20
Evaluate 39 + (7 - 22) + -18 + 29.
35
Evaluate (9 - (4 - 1)) + -10 - -10.
6
-14 + (8 - (10 + -2) - (-1 - 5))
-8
What is 0 - (-8 - 1) - (-172 - -174)?
7
What is 12 + -37 + 18 - -1?
-6
Calculate 3 + 17 - (3 + (8 - 5) + -9).
23
-28 - (22 - 41) - -11
2
3 + (-7 - -9) + -27
-22
What is the value of 21 + -35 + 12 - (10 - (2 - 4))?
-14
What is -3 - -3 - (-1 - -17 - 15)?
-1
7 - (15 + (17 - 35 - (-8 + -1)))
1
(24 - 8) + -18 - (3 + (-1 - 1))
-3
Calculate -3 - (-25 - -6) - 14.
2
Calculate -6 + (-3 - -2) + 5 + -28 + 28.
-2
13 - (13 + (-16 - -9)) - (-3 + -4)
14
Calculate 21 - 18 - 1 - 10.
-8
Evaluate -2 - (1 - 0) - (2 - 0) - -2.
-3
What is -12 + (2 - 14) - -10?
-14
Calculate (-6 - 1) + (-30 + 8 - -20).
-9
2 + 5 + (8 + -4 - (-1 + 1))
11
Calculate (2 + -9 - 4) + 2 + (4 - -5).
0
What is 1 + -10 + 8 - (-4 + -2 + -6)?
11
Calculate 5 + (2 + -25 - -4 - (-2 - -12)).
-24
What is -4 + 11 + -2 + 7?
12
Evaluate 1 + 15 - 3 - ((-8 - -10) + 5).
6
Evaluate 7 - (6 + -4) - (13 + 3).
-11
Evaluate 3 - 0 - (-17 + (-2 - -15) - -10).
-3
What is the value of 17 + (-23 - -11) + -7 - 31?
-33
7 - (11 - (-30 + (-3 - -3) + 7))
-27
-11 - (13 + -5 + -25)
6
Calculate 15 + (-12 - 5) + 11.
9
What is -8 + (-4 - 0) - (-5 - -3)?
-10
Evaluate -4 - ((17 - 0) + -14).
-7
Calculate (-8 - -21) + (-10 - -11) + 5.
19
Calculate -1 + -4 - ((-20 - -23) + 1).
-9
Calculate 13 + 3 - (1 + 8 + -2).
9
Calculate -32 - (-4 + 1 + 140 + -153).
-16
What is -6 - (18 - 29 - -4)?
1
What is the value of (-114 - -135) + -20 + 0?
1
0 + 42 + -44 + (0 - -11)
9
Calculate 6 - (19 + -2 + (13 - (16 + -6))).
-14
What is 6 + (10 - 31) - (28 - 24)?
-19
What is -2 - 3 - (3 - 5 - 4)?
1
Evaluate -5 + 32 + -8 + -3.
16
What is 6 + -4 + -2 - (-2 - -11)?
-9
Calculate 6 + -3 + -3 + (-5 - 0).
-5
Calculate -27 + 31 + -16 + -1.
-13
Calculate -11 - (18 + 11 + -37).
-3
What is the value of -11 + (29 - 12) - (-1 + -9)?
16
What is 8 - (14 + 13 + -21) - (-1 + 1)?
2
What is -16 - (11 - 17) - (3 - (2 - -9))?
-2
(0 + -7 - -6 - 7) + 5
-3
(-24 + 26 - (-1 - -2)) + (-26 - -12)
-13
Calculate -7 + 3 + (-2 - -5) + 1.
0
What is -8 + (10 - 15) - -25?
12
What is the value of 0 - -10 - (-38 - -19 - -20)?
9
Evaluate -15 - ((-3 - (18 - 15)) + (-1 - -15)).
-23
What is -3 + 48 - 38 - (14 - -1)?
-8
Evaluate -18 + (17 - 34) - -43.
8
-1 - ((9 - 12) + -31 + 12)
21
Calculate (7 - (-13 + 16) - 4) + -36.
-36
What is -7 + 1 + -2 + -71 + (-8 - -88)?
1
What is 16 + (2 - (8 + -16 + 9))?
17
Calculate -28 + 18 - (2 + -4 + -1 - 12).
5
Evaluate 40 - (-30 + (-29 - -93)).
6
(4 - 8 - 4) + 5 + -4 + -6
-13
Evaluate (11 - (-10 + (53 - 8))) + -1 - 4.
-29
Calculate 9 + -14 + -1 + (22 - 1).
15
What is the value of (9 - (6 + -20 + 3)) + -1 + -5?
14
What is the value of -4 - (-15 + 5) - 11 - (-1 + 2)?
-6
Calculate (-2 - -5 - 9) + 3 + 4.
1
What is the value of 0 + (-53 - -56) + (-13 - -1)?
-9
What is the value of -14 + 5 + (-8 + 6 - 1)?
-12
Calculate (69 + -26 - 57) + 0 + 1.
-13
What is 22 + (-5 - 12) + -17?
-12
Evaluate 94 - (191 - 87) - ((1 - 0) + -6).
-5
Calculate -3 + 11 - (-25 - -21 - (-10 + 0)).
2
What is 6 + (0 + (-3 - -1) - 0)?
4
-2 + (8 - 0) - (-477 - -473)
10
What is -5 + (25 - 7 - 8) + -20?
-15
Calculate (57 - (36 + -8)) + (-1 - -9).
37
37 - (-42 + 67 + 6)
6
Calculate 8 + 32 + -50 + 26.
16
Calculate -3 + -2 + (-2 - -8 - -8).
9
Evaluate -3 + ((-7 - -16) + -19 - (-6 + 1)).
-8
What is -1 + 0 - ((-2 - -24 - -11) + -11)?
-23
What is the value of -2 - (19 + (10 + (-11 - -6) - -1))?
-27
What is (-19 - (-6 + -1)) + 13?
1
What is -11 + (-10 - -4) + 15 + -5?
-7
Calculate (0 + 4 - 4) + -42 + (7 - -29).
-6
What is the value of (1645 - 1644) + 1 + -8?
-6
Calculate 18 + (7 - -1 - 0) - -2.
28
Evaluate (-8 - 0) + (-26 - (-38 - -26)).
-22
-3 + 24 + -10 + -16
-5
0 + -4 + 4 + -6 - (-17 + 13)
-2
4 - (-1 - (2 + -2)) - (9 + 9)
-13
Evaluate 17 - (-14 - (-14 - 4)).
13
Calculate (3 + -2 - -12) + 7 - (0 - -4).
16
(-126 - -165) + (-1 - 18) - (0 + 6)
14
Calculate 3 + 4 + -6 + -6.
-5
What is -17 + 9 + (-23 - -15 - -25)?
9
(564 + -546 - (57 - 0)) + 1 + 0
-38
Evaluate 21 + -1 + -12 - (-14 + 2).
20
Evaluate 9 + 0 - ((49 - 98) + 48).
10
Calculate (28 - 48) + 4 + 23.
7
Evaluate 38 + -22 - 33 - (1 + 0 + -7).
-11
What is 7 - 22 - (1 - 0 - 8)?
-8
What is -18 - -1 - (3 + (-20 - (-22 + 11)))?
-11
Calculate -17 + -2 - (14 + -76 + 50).
-7
Evaluate (-5 + -7 - -17) + 9.
14
What is the value of 31 - 41 - (-4 + 1)?
-7
What is the value of (1 - -11) + -4 + -9 + (10 - 1)?
8
3 + -3 + 2 + -4 + (1 - 3)
-4
Calculate (-105 + 80 - -58) + 1 + 1 + -4.
31
Calculate -16 - -13 - (-8 - -3) - -7.
9
10 + -32 + 9 - (-21 + 39)
-31
What is the value of -7 + (-30 - -51) + -27?
-13
(-10 - (12 + -19)) + 13
10
What is the value of (-11 + 5 + -8 - -6) + 11 + 8?
11
Calculate 16 + -9 + (3 - 1 - 4).
5
What is (0 - 37) + -428 + 458?
-7
12 + 17 + -37 + 23
15
-6 - (21 + -23 - -19)
-23
(2 - 0) + (-5 + 22 - 12)
7
Evaluate -5 + 1 + 0 + (6 - 0 - 2).
0
What is the value of 9 + (-7 - -2 - (5 - (-17 - -37)))?
19
0 - (14 + 17 + -23)
-8
Calculate -6 + (20 + -6 - (-16 + 6)).
18
What is 2 + -1 + (185 + -155 - (20 + 0))?
11
0 - ((-9 - 8) + 5) - -3
15
What is -4 + (-9 - -22 - 14)?
-5
Calculate 1 - (6 + -8 + -4 - 2).
9
Evaluate (-209 - -172) + 29 + 3.
-5
What is the value of -34 + (12 - -1) + 18?
-3
What is the value of -6 - (0 - 3 - (82 - 73))?
6
Evaluate -1 + 8 + 12 + -45 + 38.
12
What is (-16 - 12) + (10 + 0 - 15)?
-33
Evaluate (-16 - -6) + 26 + -13.
3
Evaluate (-6 - -3) + 1 - (-11 - 8 - -14).
3
Calculate 2 - -23 - (1 - -11).
13
What is the value of 263 - 303 - (2 - 61)?
19
What is the value of -711 - -700 - (3 + 0)?
-14
Evaluate (7 - (-47 - -15)) + -2 + -5 + -2.
30
What is (-1 - -35) + (8 - -13) + -37?
18
What is 6 + -2 + -11 + 1?
-6
What is (-9 - (3 - 11)) + (-3 - 2)?
-6
-24 + 67 + (42 - 78)
7
Evaluate (-1 - -2) + 4 + (-25 - -22) + 9.
11
Calculate (-3 - (-5 - (3 + -10 - -6))) + -10.
-9
-32 + (18 - -21) + 1 + 2
10
What is 2 + 1 + -2 + (-3 - 13) + -3?
-18
What is the value of -7 + -8 - -10 - 11?
-16
What is the value of -8 + 8 + -3 + (-1 - -9)?
5
Evaluate 5 + -2 + 2 + -1 + 0 + 17.
21
Calculate -3 - (-3 + -5) - (11 - (0 - -19)).
13
What is the value of 20 + -36 + (18 - -10)?
12
Calculate -8 + (7 - (13 + -6)) + 13.
5
Evaluate 8 - 1 - (-245 + 249).
3
Calculate (7 + -8 + -2 - -7) + -1 + -23.
-20
What is the value of -3 + 2 - (-10 + (-12 - -10) + 23)?
-12
Calculate 29 + (74 - 90 - (2 - 11)).
22
Evaluate -21 + 0 - (-15 - 17).
11
Calculate (-2 - (3 + 13)) + 43 + -47.
-22
What is the value of 6 + (-41 - (45 + -106))?
26
Evaluate (0 + 3 - (228 - 228)) + -18 + -2.
-17
-1 + -8 + -11 + (23 - 4)
-1
Evaluate 6 + (11 - 25 - -4) + 7.
3
15 - (-6 + -2 + 37) - -10
-4
Calculate -3 + 2 + -11 + 23 - 15.
-4
What is (0 + 2 - 7) + (370 - 369)?
-4
What is 21 - (9 - 4) - (-7 - -16)?
7
What is the value of -5 + (-16 - (13 - 20)) - -6?
-8
Evaluate -20 + 1 - (4 - (4 + 0)).
-19
(17 + -8 - -17) + (0 - -4) - 1
29
(2 - (6 + (0 - -4 - 11))) + 16
19
Calculate -1 - (-3 + 14 + -24).
12
Calculate -86 + 90 - (5 + -7 - -6).
0
What is -68 - -69 - (8 + -1) - (2 + -3)?
-5
17 + (3 - 7) + (-4 - -17)
26
-5 + 7 + 0 + (21 - 2 - 13)
8
Calculate -84 + 88 + -4 + (3 - (1 + 0)).
|
{
"pile_set_name": "DM Mathematics"
}
|
-6
a
Let h = 0.06 - 2.06. Let f = 99 - 193/2. What is the third biggest value in h, f, 0.5?
h
Let m = -26.4 + 18.1. Let z = -8 - m. What is the second smallest value in z, 1, 2?
1
Let k = 2.6 + -3. Let h = -0.6 - k. Let q = 3 + -4. What is the biggest value in h, -2, q?
h
Let x = -3/46 - -61/230. Which is the smallest value? (a) -5 (b) x (c) -3
a
Suppose 1 = t + 3. Let q be (-1 + -1)*t/2. Let r be (10/25)/(q/10). Which is the smallest value? (a) 0.1 (b) r (c) 0.3
a
Let x = 4.1 + -4. Let s = -1.9 - x. Let r = 2.2 + s. What is the biggest value in -0.3, -2, r?
r
Let q be (1/(-4))/((-4)/60). Let h = 4 - q. Let k = -13 - -9. What is the third smallest value in 2, k, h?
2
Let p(x) = 7*x + 16. Let g be p(-2). What is the second smallest value in -0.5, g, 5?
g
Suppose -11 = 2*d + 3*w, 3*d = 5*w - w + 9. Let v = -129 + 905/7. Which is the second biggest value? (a) d (b) v (c) 0.3
b
Let p = 51 + -51.029. Let l = p + 5.829. Let q = l - 6. What is the biggest value in 4, q, -5?
4
Let f be 4*1 + (-2)/2. Let m = -701/5 + 140. Which is the biggest value? (a) m (b) f (c) 1/3
b
Let s = 0.4 - 5.4. Suppose 16 = 3*t + 2*m - m, -2*m = 5*t - 27. Which is the third biggest value? (a) s (b) 2 (c) t
a
Let v = -77 - -36. Let o = v - -165/4. Let g = 0.1 - -3.9. What is the third biggest value in -2, g, o?
-2
Suppose 2*k = 5*z + 18, z - 2*k = -6 - 4. Let p be (18/20)/((-3)/4). What is the biggest value in z, 0.3, p?
0.3
Let b be 1*(1*-3 - (-3 + 4)). What is the third smallest value in 1, b, -2, 4?
1
Let g = 21 - 17. Which is the third biggest value? (a) -5 (b) 3 (c) g
a
Let u = 12.4 - 12. What is the second biggest value in -0.2, u, 1/6?
1/6
Let p = 2.006 - 0.006. What is the smallest value in p, 3, 6/5?
6/5
Let t = 27/5 + -199/35. What is the fourth smallest value in 0.4, -10, 1/3, t?
0.4
Let g(d) = -d**3 + 8*d**2 - 3. Let n(t) = t**2 - 6*t + 8. Let i be n(6). Let b be g(i). Let x be (-1)/(b*(3 - 2)). What is the biggest value in 0, 1/7, x?
x
Let t(k) = 2*k + 13. Let u be t(-4). Let z = 0.3 + 0.1. Which is the third biggest value? (a) -3 (b) z (c) u
a
Let d = 1 - 21. Let s = 116.9 + -117. Which is the smallest value? (a) d (b) s (c) 1/2
a
Let i be 4/5 + 1/(-1). Which is the biggest value? (a) 2 (b) -2/17 (c) i
a
Let k = -8/21 + 1/21. Which is the biggest value? (a) 0.3 (b) 0 (c) k
a
Let d = -159 - -481/3. Which is the smallest value? (a) 5 (b) d (c) 7
b
Let b = 0.32 + 4.28. Let y = -9 - -4. Let u = b + y. What is the smallest value in 2, -2/7, u?
u
Let r = -4.8 - -5. Suppose 4*h - 12 = -4*x, 2*h = 4*x - 0*x - 6. Let l = h + 0. Which is the smallest value? (a) 3 (b) l (c) r
c
Let u = -0.4 - 0. Let j = 21.3 + -21. Which is the smallest value? (a) u (b) 2/13 (c) j
a
Let l be (-1)/4 - (-117)/(-4). Let o = l - -29. Let g = 5 + -6. Which is the second smallest value? (a) 0.4 (b) o (c) g
b
Suppose 7*s + 9 = 4*s. Let o be (4/(-16))/(s/(-4)). What is the biggest value in 5, 4, o?
5
Let l = 29 - 42. Let x = l + 18. Suppose -3*m - 4*j = -0*j + 26, 0 = -m + j + 3. What is the biggest value in 0.4, x, m?
x
Let t = 40 + -36. What is the third biggest value in -1, t, -2/21?
-1
Let v = -233/5 + 47. Suppose 0 = -2*n - 5 - 7. Let b = 7 + n. What is the second smallest value in b, 5, v?
b
Let z = 43.8 + -44. Which is the second smallest value? (a) z (b) -3 (c) -1 (d) 3/5
c
Let j = 13 - 4. Let h = j - 5. Let w = 7 + -10. Which is the smallest value? (a) 5 (b) w (c) h
b
Let z be (-3)/(-18) - 3/(-6). What is the third smallest value in -5/3, 1, z?
1
Let s = 95 - 286/3. Which is the smallest value? (a) s (b) -2/7 (c) 0.04 (d) 0.2
a
Let q(l) = 4*l - 25*l**2 + 2 + 24*l**2 + 0. Let k be q(4). Suppose 3*y - k*y = 2. Which is the third smallest value? (a) y (b) 4/3 (c) 0
a
Let g = -104 + 103.7. Suppose -4*c - 36 = -u - 4*u, 12 = 5*u + 2*c. Suppose -3*n - 3*k = 18, 3*k + 12 = -u*n - 9. What is the third biggest value in -1, n, g?
n
Let q = -5 - -5.4. Let p = 0.2 - q. Which is the smallest value? (a) -5 (b) 0 (c) p
a
Suppose 4*w + 1 + 15 = 0. Let p be 2 + (9/(-3))/(-3). Suppose 2*m - 15 = -p*m. What is the second smallest value in m, w, -0.4?
-0.4
Let x = 16 - 11. What is the second smallest value in x, 0, 0.3?
0.3
Let m be -3*(-1 + 34/30). What is the smallest value in -2/13, -0.3, m?
m
Let w = -2 - -13. Let d = -10.7 + w. What is the biggest value in -3, d, 0?
d
Let m be (3 + -4)*(2 - 1). Let s be m + 3 + 24/(-11). Let h = 6.2 - 6. Which is the third biggest value? (a) 2/9 (b) s (c) h
b
Let i = 1171/9 + -130. Let k = 11/45 - i. Which is the second biggest value? (a) -0.1 (b) k (c) -1
a
Let f = 70 - 351/5. Let h be ((-2)/3)/(1/(-9)). Suppose -h = 2*x - 0*x. Which is the third smallest value? (a) 0.3 (b) x (c) f
a
Let d = 11 - 19. Let f = 11 + d. Which is the second biggest value? (a) f (b) -0.1 (c) 3/5
c
Let c = -100 + 97. What is the fourth biggest value in -8, 5, c, 2?
-8
Let t = 0.23 + 0.27. Which is the third biggest value? (a) t (b) 3/4 (c) -0.03
c
Let n = -12/11 - -59/44. What is the smallest value in n, -5, 2/3?
-5
Let z be 2/12*(4 + 0). Which is the second smallest value? (a) z (b) 0.1 (c) 0.2
c
Let u(l) = 2*l**2 + 23*l - 9. Let q be u(-12). What is the second smallest value in 0.1, q, 2/5?
2/5
Let w be (-6)/(-21) + 813/21. Let k be w/(-9) - 2/3. What is the second smallest value in -1/6, 3, k?
-1/6
Let n = -1 + 0. Let k = -103.4 - -103. Suppose -i = 4*s, -i + s = 2*i. What is the second smallest value in n, k, i?
k
Let y = -92 + 371/4. What is the smallest value in y, 1/6, 2/7?
1/6
Suppose -z + 24 = 3*z. Suppose -j = 5*c - z, -c + 7 = 3*j + 3*c. Let s be 2 - 10/12 - j. What is the third smallest value in -1/5, s, 5?
5
Let m be 1*(-2)/(-13)*1. Let s = -0.4 - -0.5. What is the third smallest value in -3, m, s?
m
Suppose 0 = -2*n + 10 - 0. Suppose 2*g - 3 = -n. Let p = -0.5 - -4.5. What is the smallest value in p, g, -2/3?
g
Let l = -85 + 84.6. Which is the fourth smallest value? (a) 2/19 (b) 1/9 (c) 0.5 (d) l
c
Let g = 3.1 - -0.9. Let y be (3/54)/((-3)/12). Which is the biggest value? (a) g (b) y (c) -0.1
a
Let o = 4 + -7. Suppose 0 = -0*b - 5*b - 3*v + 13, 3*b = -5*v - 5. What is the biggest value in o, -1/2, b?
b
Let k = -2.7 + 13.7. Let i = k + -12. Which is the third smallest value? (a) -0.2 (b) -3/7 (c) i
a
Let w(j) = -j - 4. Let d be w(-6). Let a = 292.6 - 327. Let u = a + 34. What is the second smallest value in 0, d, u?
0
Let s = -1.7 - 12.4. Let k = 14 + s. Which is the second smallest value? (a) k (b) -2 (c) -0.4
c
Let v = -1.2 - 14.1. Let u = v + 15. What is the third smallest value in 4, -3/5, u?
4
Suppose 0 = -5*v - 0*v - 5. Let p(m) = -m + 7. Let g be p(5). Let z = 3 + -2.9. Which is the third biggest value? (a) z (b) g (c) v
c
Let b = -80 - -722/9. Let v = -4 + -1. What is the biggest value in v, b, 2?
2
Let k = 2.03 - 0.03. Let b be 5/3 - 21/7. Let n = 18 - 14. What is the second smallest value in b, k, n?
k
Let l = -27 - -172. Suppose 0 = r - 5 - l. Let x = -446/3 + r. Which is the smallest value? (a) 0.4 (b) -0.3 (c) x
b
Let y(c) = 13*c**2 + 11*c**2 + 4 - 11*c - 25*c**2. Let u be y(-11). Let m = 0.3 - -0.2. What is the second smallest value in m, u, -0.2?
m
Let d = -52 + 207/4. Let h = -6.3 + 6. Which is the second biggest value? (a) 5 (b) h (c) d
c
Let m = 4.08 + -0.08. What is the third smallest value in m, 5, 17?
17
Let f = -160 + 160.2. What is the third biggest value in f, 3, -5, -3?
-3
Let n(d) = d**2 + 4*d - 62. Let r be n(6). Let q = -0.05 - -0.65. What is the third smallest value in -0.1, r, q?
q
Let u = -41 + 39. What is the biggest value in u, 2, -5?
2
Let q = 1 - -8. What is the second smallest value in 4, q, -1?
4
Suppose 3*y = -4*s - 0*s - 11, s = -4*y - 6. Let l = -3 + 11. Let x = l - 5. Which is the third biggest value? (a) s (b) x (c) 0.5
a
Let u = 4 + -3.9. Let p = u - -0.9. Let r be ((-3)/(-34))/(3/4). What is the biggest value in p, 4, r?
4
Let v be (-50)/(-28) - 2/7. Let n = -1 - -1.7. Let r = -0.9 + n. Which is the third smallest value? (a) 3 (b) v (c) r
a
Let j = -0.24 + -0.46. Which is the third biggest value? (a) j (b) 0.5 (c) 0.1
a
Suppose i - 4*f + 1 = -14, 5*f = i + 20. Suppose -4*w + p = -4*p + 7, -18 = i*w + 3*p. Which is the smalle
|
{
"pile_set_name": "DM Mathematics"
}
|
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