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35) - sqrt(105)/sqrt(3)*5))/((sqrt(210)/(2*sqrt(5)))/(sqrt(24)/sqrt(64))).
93*sqrt(5)/2
Simplify ((sqrt(208)*-1 + sqrt(208))**2 - sqrt(208)) + 1 + 4 + -5 + -2*(-5 + sqrt(208) + (sqrt(208) + sqrt(208)*1 + 3)**2).
-1672 - 108*sqrt(13)
Simplify 4 + (-4 + (5*3*sqrt(65)*-1)/(sqrt(180) + -2*sqrt(180)*-6 + sqrt(180)))**2.
10*sqrt(13)/7 + 16005/784
Simplify ((-1*sqrt(10) - sqrt(10))*-1)/(sqrt(5) + (sqrt(55)*-1 + sqrt(55))/sqrt(11)) - (-4*(1 + sqrt(162)) + -4 + sqrt(162)*-4)**2.
-10432 - 1150*sqrt(2)
Simplify 5 + -1*sqrt(44)/sqrt(4) + (2*sqrt(88))/sqrt(8) - (sqrt(110) + 2*sqrt(110)*4)/((sqrt(250) - (sqrt(250) - (sqrt(250)*1 + sqrt(250)))) + sqrt(250)).
2*sqrt(11)/5 + 5
Simplify (-5*(2*sqrt(209)*-2 + sqrt(209) - (sqrt(209) + -2*sqrt(209))*3))/(-3*(sqrt(1100)*-1 - sqrt(1100))*2).
0
Simplify (sqrt(608)*2*4 + (sqrt(608) - (sqrt(608) + sqrt(608) + sqrt(608) + sqrt(608) + (sqrt(608) - sqrt(608)*-1*6))))/(3*sqrt(242) - sqrt(10)/(-1*sqrt(5))).
-4*sqrt(19)/17
Simplify ((sqrt(6) - 1*(sqrt(6) - sqrt(54) - sqrt(6)))/(4*sqrt(8)/sqrt(4)) - (4 + (sqrt(12)/sqrt(4) + 3)*-5))**2 + -1.
228 + 132*sqrt(3)
Simplify (((1*sqrt(195)*-2)/(sqrt(5) - (sqrt(5) - (-2*sqrt(405) + sqrt(5)))))/(sqrt(6)/sqrt(2)*1 + -6*(sqrt(75) - sqrt(3))))**2*4.
208/152881
Simplify (-5*1*sqrt(77) + (sqrt(77) + (sqrt(77) - sqrt(77)*-1*-6) - sqrt(77)))/(-2*sqrt(7)*-1*-6)*4.
10*sqrt(11)/3
Simplify 2*(sqrt(1500) - sqrt(1500)*-3*-3)/(sqrt(192) - (sqrt(192) + 1*sqrt(192)*1)).
20*sqrt(5)
Simplify (3 + (-2 + 6*(4 + sqrt(171)) + -5 + -1*sqrt(171) + (sqrt(171) - -1*sqrt(171)*3))*2)**2.
3996*sqrt(19) + 56773
Simplify ((sqrt(700) + -3 + sqrt(700) + -1)**2 - sqrt(700) - (((sqrt(700) + -2)**2 - sqrt(700)) + 4))*-5 + 5.
-10535 + 600*sqrt(7)
Simplify (sqrt(102)*3*2*-1*4)/(5*((sqrt(6) - (sqrt(384) + sqrt(24))/sqrt(4)) + 2*sqrt(6)*4)).
-6*sqrt(17)/5
Simplify ((sqrt(224) + sqrt(224) + -2*sqrt(224)*3)/(2*sqrt(16) - sqrt(4) - sqrt(4)))/(3*sqrt(72)/(sqrt(9)*2)*2).
-2*sqrt(7)/3
Simplify sqrt(88)/(-3*sqrt(32)) + 4 + (-1*(sqrt(11) + (sqrt(11) + sqrt(11)*1 - sqrt(11)) + sqrt(11)) - (sqrt(396) + 3)) + 4.
-55*sqrt(11)/6 + 5
Simplify -2 + (-1 + (sqrt(136) - (sqrt(136) + 1*sqrt(136)))/sqrt(8) + 3 - (((2 + sqrt(2448))*-1 - sqrt(2448))**2 + -5)).
-9791 - 97*sqrt(17)
Simplify (2*((sqrt(275) + 1*sqrt(275))*-2 + sqrt(275))/sqrt(5))/(-2*sqrt(720)*6 - (sqrt(720) - (sqrt(720) - -3*-2*sqrt(720)) - sqrt(720))).
sqrt(11)/34
Simplify (-2*(sqrt(19) + 0 + -3) - (sqrt(304) + -5 + (sqrt(19) + 0)*-5))**2 + (-4 + (0 + sqrt(1900))*-5 + 3)**2.
78*sqrt(19) + 47641
Simplify (sqrt(1250)*-4 - -3*sqrt(50)*-3)/(-2*(sqrt(10) - (sqrt(10) + ((sqrt(1000)*-2 - sqrt(1000)) + sqrt(10) - sqrt(10))))*-3)*4.
-29*sqrt(5)/45
Simplify -5 + 3 + ((1*sqrt(288) + sqrt(288))*6)**2 + sqrt(288) - (0 + -1*sqrt(288) + (sqrt(288) + -5)*-3).
60*sqrt(2) + 41455
Simplify ((-3*1*sqrt(180) - sqrt(180))/(sqrt(3) + sqrt(3)*1*2))/((sqrt(108)*-1*-3 + sqrt(108) - sqrt(108))/(-3*sqrt(18)/sqrt(2) + sqrt(9))).
8*sqrt(5)/9
Simplify 3 + (3*(sqrt(550) - sqrt(22) - sqrt(22))*-1)/(sqrt(99) - (sqrt(99) + -2*sqrt(99)*-3 + sqrt(99))).
3*sqrt(2)/7 + 3
Simplify (-4 + sqrt(110)/sqrt(10) + -2 + (sqrt(11)*1)**2 - (4 + (sqrt(539) + sqrt(539) + 2)*6))*-3.
33 + 249*sqrt(11)
Simplify (4*sqrt(2) + -5 - (sqrt(10)/(sqrt(10)/sqrt(2)) + sqrt(2)))**2 + (sqrt(2) + 1 + 4 - (-3 + sqrt(18))).
-22*sqrt(2) + 41
Simplify -3 + 1 + ((sqrt(2736) + (sqrt(2736) - ((sqrt(2736)*-1 - sqrt(2736) - sqrt(2736)) + -4)) + (sqrt(2736) + 1)*5 + 0)*-2)**2.
8640*sqrt(19) + 1094722
Simplify (-4*-1*((sqrt(1500) + 1*sqrt(1500) - sqrt(1500)) + sqrt(1500)))/((sqrt(84) - -3*sqrt(84)*1)/(sqrt(336)/sqrt(3))).
40*sqrt(5)
Simplify ((sqrt(18) + 0 + -3 + -2)*6)**2 + (-6*(sqrt(180) - (sqrt(180) + sqrt(180) + (sqrt(180) - -2*sqrt(180))) - sqrt(180)))/(sqrt(1000)*1).
-1071*sqrt(2) + 1548
Simplify -1*(-4 + -5*(sqrt(432) + (-2 + -1 + sqrt(432))**2) - ((2 + sqrt(432))*-3 + (sqrt(432) - (sqrt(432)*-2 + -3))**2)).
-120*sqrt(3) + 6100
Simplify (-1*6*(sqrt(24)/(sqrt(24)/sqrt(2)*-2) + sqrt(18)/((sqrt(36)*1 + sqrt(36))/sqrt(4))))**2.
0
Simplify 0 + (sqrt(28) + 3 + sqrt(112) + (sqrt(168)/sqrt(6) + sqrt(28))*-5 - (4 + 4 + (sqrt(700) + sqrt(700) + -1)**2)).
-2806 + 26*sqrt(7)
Simplify ((4*(sqrt(192)*-1)/sqrt(4))/((-2*sqrt(48)*-5)/(sqrt(648) - -2*sqrt(648))))**2.
23328/25
Simplify ((1*sqrt(110) + sqrt(110))*-6 + sqrt(110)*-2*5 + sqrt(110) + (sqrt(110) + -2*sqrt(110)*6)*4)/(-4*(1*sqrt(360) + sqrt(10) + sqrt(60)/sqrt(54))).
195*sqrt(11)/88
Simplify ((sqrt(832) + -1*sqrt(832))*2*-2)**2 + (sqrt(65)*-2*5)/(-1*sqrt(45)).
10*sqrt(13)/3
Simplify 4*6*((4*sqrt(200)*1 + -5)**2 + 5)*-2.
-155040 + 19200*sqrt(2)
Simplify (sqrt(3) - (sqrt(363)*1)**2 - (sqrt(3) + 3 + -5)) + (sqrt(162)*-6)/(3*-1*sqrt(6)).
-361 + 6*sqrt(3)
Simplify -3*((sqrt(117) - (sqrt(117) - (5 + 4*sqrt(117))**2)) + 0 + (3*sqrt(117)*6 - (3 + (1 + sqrt(117) - sqrt(117)) + sqrt(117))) + 3).
-5688 - 513*sqrt(13)
Simplify (-4*5*sqrt(3645))/(sqrt(1296)*2 + sqrt(9) - sqrt(9)*-1*-5).
-9*sqrt(5)
Simplify (-4 + (sqrt(432)*2 + -1 - (-2*sqrt(432) + -1)) + sqrt(432)*-3 + 0 + -1*-4*sqrt(432))**2.
-480*sqrt(3) + 10816
Simplify 0 + (5*(-2 + sqrt(2156)*1 + sqrt(2156) + (-2 + sqrt(2156))*-3))**2*3 + -5.
-8400*sqrt(11) + 162895
Simplify 3 + (((3 + sqrt(425) + -1)**2 - ((sqrt(425) + 0)*-6)**2) + -1)*2*2.
-59485 + 80*sqrt(17)
Simplify ((1*sqrt(1944)*-2 + -3*((-1*sqrt(1944) + sqrt(1944) - sqrt(1944)) + sqrt(1944)))/(5*sqrt(40)/(1*sqrt(320)))*-4)**2.
995328/25
Simplify (3*(2 + (sqrt(64)*-2*5 + sqrt(64) + ((sqrt(64) + sqrt(64)*1)*-1 - sqrt(64)))/(sqrt(54)/sqrt(3)*-1)))**2.
576*sqrt(2) + 4644
Simplify (sqrt(91) + 6*sqrt(91)*-1 + sqrt(91) - -3*(sqrt(91) + -2*sqrt(91)))/(sqrt(252)*3*6*4).
-7*sqrt(13)/432
Simplify (3 + -5 + ((sqrt(425) - sqrt(425)*1*5) + 1 + sqrt(425) + (sqrt(425) - -1*sqrt(425)) + sqrt(425) + sqrt(425) - (5 + sqrt(425)*-1)*1))**2.
-120*sqrt(17) + 1736
Simplify (5*((-4 + 2 + sqrt(1053))**2 - sqrt(1053)) - (((sqrt(104)*2 - sqrt(104))*-5)/(1*(sqrt(8) + sqrt(128))))**2)*1.
-225*sqrt(13) + 5272
Simplify (4 + (sqrt(325) - (-1 + sqrt(325))) + 0)*5 + 3*(4 + 5*(sqrt(208))**2*2).
6277
Simplify (2 + 6*-6*(2*(sqrt(125)*-4 + sqrt(125)) - -1*sqrt(125)*-2))**2.
5760*sqrt(5) + 10368004
Simplify (((6*sqrt(171)*-1 + (sqrt(171) - (sqrt(171) + -2 + sqrt(171) + 0)))*-6 + 5)*6)**2.
-63504*sqrt(19) + 10860948
Simplify 3 + ((1*sqrt(3840) + sqrt(3840) - sqrt(3840))/((sqrt(144) - -2*sqrt(144))/sqrt(12)))**2 + -1 + (sqrt(405) - (sqrt(405)*1 + 2)) + -3.
293/9
Simplify -4 + (2*(4*sqrt(550))/sqrt(10))/(sqrt(176)*1 + -5*sqrt(22)/sqrt(2)) + -3.
-8*sqrt(5) - 7
Simplify ((-1*(sqrt(100)*-2 + sqrt(100)) + sqrt(100))/(sqrt(810) + (sqrt(810)*1 - sqrt(810)) + sqrt(810)))/((sqrt(5) + sqrt(5)*-1*6 + 1*sqrt(500))*-3).
-sqrt(2)/135
Simplify (sqrt(57) + sqrt(2052)*-2 + sqrt(2052) - sqrt(114)/(sqrt(6)/sqrt(3)))/(sqrt(75)*-1 + 3*sqrt(12)/sqrt(4)).
3*sqrt(19)
Simplify (4*((0 + sqrt(153) + -4 - (1*sqrt(153) + 1)) + (sqrt(153) + 1)*3*6))**2.
22464*sqrt(17) + 795856
Simplify ((4 + -3 + sqrt(208) + 2 + sqrt(208) + -1)*-6*1)**2.
1152*sqrt(13) + 30096
Simplify 5*((sqrt(95) + -2*-1*sqrt(95) + sqrt(95))*-2)/(sqrt(25)/(-1*sqrt(80) + sqrt(5))).
120*sqrt(19)
Simplify 2 + 2*(-1 + (sqrt(567) + -1 + -1 - sqrt(567)) - 4*((sqrt(567) + 3)*5 + sqrt(567)))**2.
54432*sqrt(7) + 661124
Simplify ((sqrt(66)/sqrt(6)*-1 - sqrt(99)/(sqrt(9)*-3)) + (1*sqrt(110)*2)/(sqrt(90)/(2*sqrt(9))))**2.
1100/9
Simplify (3 + (-5 + (3 + -1 + sqrt(832) + -3)**2)*-3)*4.
-9924 + 192*sqrt(13)
Simplify ((4*(-5*sqrt(136)*-5 + sqrt(136)))/(4*sqrt(72)*-4))**2.
2873/36
Simplify -1 + ((sqrt(72) - -3*(-1 + sqrt(72)))*-3 - (sqrt(72) + 2*sqrt(72) + sqrt(72) + -5)*-1)**2 + 1.
-384*sqrt(2) + 4624
Simplify (((((3*sqrt(126) - sqrt(126)) + sqrt(126) + sqrt(126))*2)/sqrt(9))/((sqrt(90) + 3*sqrt(90) + sqrt(90))/sqrt(5))*6)**2.
1792/25
Simplify (-5 + sqrt(117)*1 + sqrt(117))**2 + 2*(sqrt(26)/sqrt(2) + 0) - ((sqrt(416)*2)/(sqrt(4)/(sqrt(2)*1)) + -3)**2.
-348 - 10*sqrt(13)
Simplify 5 + ((sqrt(200) - 4*sqrt(200)*2)*6)/(2*sqrt(1000) + sqrt(1000) - sqrt(160)*-1).
-42*sqrt(5)/17 + 5
Simplify 4*((-6*-3*sqrt(104))/sqrt(8) + sqrt(52)/(sqrt(144)*-2) + -3).
-12 + 215*sqrt(13)/3
Simplify (-2*2*sqrt(130) - sqrt(130))/(1*sqrt(250)) - (sqrt(117) + (sqrt(117) + 2*-3*sqrt(117))**2)*-6.
17*sqrt(13) + 17550
Simplify (3 + (4 + sqrt(1216)*2)*-6
|
{
"pile_set_name": "DM Mathematics"
}
|
-4349 - 4157. Which is greater: 421 or a?
a
Let l = 3989 + -4000. Is l equal to -0.105?
False
Let g be 10/15 - 1881/27. Let x(z) = 16*z + 14. Let i be x(8). Suppose 0 = d - 3*d - i. Is d < g?
True
Let y = -50111 + 47912. Is y < -2196?
True
Suppose b + 2*g - 66 = -16, 4*b + 2*g = 218. Suppose 55*j = b*j + 5. Is j greater than or equal to -2/95?
False
Let p = 465383/6018 + 3/2006. Do p and 77 have the same value?
False
Let k be 4/(-32) + (-59917)/(-471240). Let w = k + 11/306. Is 0 equal to w?
False
Let t be 2/7 - (6 - 280/49). Suppose -3*l - f = t, f - 1 = -4*l - 0*f. Let d be 2/((-102)/(-9)) - 0. Which is smaller: l or d?
d
Let m be (6 - 10) + 506/(-22). Is m greater than or equal to 145?
False
Let o = 67/49 - 3515/98. Which is smaller: o or -36?
-36
Suppose -k + 0*g + g = -122, -5*k + 610 = -4*g. Suppose 2*j = -k - 24. Which is smaller: j or -72?
j
Suppose -5*n = 2*k - k + 580, 4 = 4*n. Do -585 and k have different values?
False
Let u(n) = 57*n - 372. Let c be u(6). Let j be ((-32)/(-40))/((-4)/(-10)). Suppose -j*h - 1 = -h. Which is greater: h or c?
h
Suppose 0*m = 12*m - 96. Let l = -19/7 - -593/56. Which is greater: l or m?
m
Let s(w) = 48*w**2 + 5*w + 4. Let y be s(-1). Let o(k) = k - 55. Let v be o(y). Which is bigger: v or -15?
v
Suppose 3 = -373*w + 372*w. Let d = -5 - -11. Suppose -18 = 3*n - d. Are n and w unequal?
True
Let c = 2627.971 - 2627. Is c != 6?
True
Let f(g) = -g**2 + 14*g - 5. Let s be f(4). Suppose 29 = -8*o - s. Is -90/11 at least as big as o?
False
Let u = -22666 - -22669. Is u less than 117?
True
Let c = 1/116500 + 33318941/6873500. Which is greater: c or 4?
c
Let c(z) = -z**3 + z**2 - 4*z - 2. Let l be c(-2). Let y be 235/4*34/l. Let b = y + -111. Is 0 smaller than b?
False
Let a(m) = 2*m**2 + 8*m - 5. Let b(x) = 4*x - 57. Let h be b(13). Let p be a(h). Suppose -2*v + 3*v + 2*f + 10 = 0, -p*f = v + 19. Which is bigger: v or 1?
1
Let b = 85 - 82. Suppose -j = -2*a + 7, 2*a + 8 = b*a + 4*j. Suppose a*c = 4*y - 24, y + 4 = 2*c - 6*c. Is y at most 4?
True
Let m = 10704054573/29027 + -368762. Which is smaller: 1 or m?
m
Suppose 0 = 4*j + 36 - 8. Let g be -296 + j/(21/12). Let o = g - -2067/7. Is o bigger than -6?
True
Let s = 118 + -1471/13. Let k = s + -69/13. Is k less than 0.1?
True
Let w(l) = 47*l**2 + 408*l - 135. Let p be w(-9). Which is smaller: -188/349 or p?
-188/349
Let d = -215 + 1937/9. Suppose -5*k = -5*v + 25, 25 = 4*k + 36*v - 31*v. Is k less than d?
True
Let t(i) = -2*i**3 + 8*i**2 + 4*i - 6. Let s = -199 + 115. Let z be 5/(-4) + s/(-16). Let q be t(z). Which is smaller: 11 or q?
q
Suppose -4*s + 5*t - 74 = 255, -2*s + t = 169. Let r = -80 - s. Suppose -5*v - p = -35, -v = 5*p - 1 - 6. Which is smaller: v or r?
r
Let y = -101.23 + 101.03. Let i be 2/(-4) + 51/98. Which is bigger: y or i?
i
Let w = 1950.1 - 1950. Which is smaller: w or -0.1719?
-0.1719
Let f(g) = 24 - 136 - 4*g - g - g. Let r be f(-15). Is r equal to -22?
True
Let y = 3000/3707 + 3/337. Let z be ((-15)/(-162)*324/(-540))/(34/36 - 1). Is z <= y?
False
Suppose 68*f - 305424 = -184*f. Which is greater: f or 1215?
1215
Let m be (-10)/(-4)*(-18)/(-15) + 21. Let p = -11 + m. Suppose 3*o + u = p, -3*o + 2*o - 5 = -2*u. Is 5/2 <= o?
True
Let q = 73.92 - 74.19. Is q at least 1.34?
False
Let a(i) = -8*i**2 - 90*i + 90. Let c be a(1). Which is smaller: 0.89 or c?
c
Let r(a) = a**3 - 17*a**2 + 2*a + 21. Let z be r(17). Suppose -z = l + 3*p, 2*p + 190 + 80 = -4*l. Let t be l/2 - -2 - (6 - 10). Which is greater: t or -27?
-27
Suppose -2*v + 78 = -48. Let h = v + -59. Suppose 0 = -h*l - 8 + 4. Which is greater: l or 0?
0
Suppose 22 = 4*f - 2*r, -6*f + 1 = -5*f - 5*r. Let q(x) = 2*x**2 + 5*x - 15. Let t be q(f). Is t <= -2/5?
False
Suppose 0 = 6*w - 5*k - 2042, -283 = -w + 5*k + 74. Which is smaller: w or 1010/3?
1010/3
Let r = 74.732 + -75. Let p = -0.638 - r. Which is smaller: -0.6 or p?
-0.6
Suppose -2977 = -28*k - 765. Is k greater than or equal to 93?
False
Suppose -5*j = 15, -10*l + 204 = -7*l + 3*j. Suppose 0 = 73*y - l*y. Which is bigger: y or 5?
5
Let i = 220 + -118. Let m = -72 + i. Let j = -29 + m. Are -120 and j non-equal?
True
Let r = -6.25 - -382.25. Let d = -347 + r. Which is bigger: 0.1 or d?
d
Suppose 25*z - 432 = 34*z. Let d be (-3)/(-8) + (-14)/z. Which is bigger: d or 0.47?
d
Let v = 8.5 - 2.9. Let u = v + -7.6. Let d be (3/14)/((-6)/40). Is d greater than or equal to u?
True
Let g(c) be the second derivative of 3*c**4/4 - c**2 + c. Suppose 134 = -5*f + 129. Let z be g(f). Does -1 = z?
False
Let d be (-4)/5 - (3366/(-45) - 7). Which is bigger: 72 or d?
d
Let s = 31 - 22.9. Let r be 27/(-18)*32/(-72). Which is greater: s or r?
s
Suppose 9*f - 189 = -4*a + 4*f, -2*a = -4*f - 114. Let m = -39 + a. Let n = m - 8. Is 8 greater than n?
True
Let i be (800/384)/(1/2). Let p(o) = -o**2 - 2*o - 6. Let f be p(-3). Let y = f - -13. Is i less than or equal to y?
False
Let a(i) = 45*i + 3779. Let z be a(-84). Which is bigger: z or 1/1068?
1/1068
Let r = -16 - -27. Let k = r - 57/5. Let n = -202/25 - -8. Are k and n nonequal?
True
Let a = 5756/17787 - 50/147. Is a at least 1?
False
Let b be -1 - -1 - 525/(-40). Suppose 3*o = -4*t + 32, 2*o - 2*t - 25 = -t. Which is smaller: o or b?
o
Suppose -x + 67 = 2*g, 50 = 4*g - 5*x - 63. Which is smaller: 451/14 or g?
g
Let g = 230.44 + -1.44. Let w = 229.1 - g. Which is smaller: w or -13?
-13
Let k = -4778 - -4466. Is k greater than -0.3?
False
Let o be ((-3781)/2 + 2)*(44 - (-6500)/(-150)). Which is smaller: -1253 or o?
o
Let d(m) = 6*m + 5. Let w(f) = f**2 - 14*f - 29. Let q be w(16). Let z be d(q). Let l = z + -32. Is l less than -9?
False
Suppose -9 + 21 = 2*q. Let x be (-5)/15 + (-4)/q. Let p be ((-114)/494)/((-3)/(-12)). Which is bigger: p or x?
p
Let m be 0/(-2)*(7 - 6). Suppose m = 3*p - 4*p. Let k = 9/28 + -139/84. Which is greater: k or p?
p
Suppose c + 20 = 4*a, 6*c - c - 4*a = -20. Let x = -211 - -198. Let v be (x + 15)/((-42)/15). Are v and c unequal?
True
Let q(a) = 27*a + 7. Let i(u) = -28*u - 8. Let p(v) = -2*i(v) - 3*q(v). Suppose -2*t - 2*z + 8 - 18 = 0, 2*z - 4 = 5*t. Let c be p(t). Is 46 bigger than c?
True
Let s(l) = 2*l**2 + 12*l + 8. Suppose -y + 5*y - 4*h = -20, -3*y - 15 = 3*h. Let q be s(y). Let k be (q/8)/(2/6 + 0). Which is smaller: k or 0?
k
Let c = -6173 - -6173. Let y = -0.4 - -3. Let w = 20.6 - y. Is w smaller than c?
False
Let q = -149.5 - -152. Let k = -0.24 + 2.84. Let w = k - q. Is 8/9 > w?
True
Let m(b) = 9*b**2 - 128*b - 16. Let d be m(16). Suppose 4*w = 3*z + 361, 2*z - 2*w = -0*z - d. Are z and -119 equal?
True
Let j = -1359/22 - -235261/3806. Is -1 at most as big as j?
True
Let c be 546/(-455)*(-15)/4*8. Is 99 at most c?
False
Let o be (-11 + -13)*1/(-2). Suppose o*s - 379 = 389. Which is smaller: 2 or s?
2
Suppose -5*m = d - 49 - 6, 0 = d - 5. Suppose -m*l + 143 = -77. Let s be ((-2)/5)/((-1)/60). Which is smaller: l or s?
l
Let z(a) = 3*a - 12. Let q(j) = 2*j - 12. Let c(t) = 5*q(t) - 4*z(t). Let o be c(-6). Suppose o = -8*x + 3*x - 5. Which is smaller: x or -19/8?
-19/8
Suppose 2*r = -2*o - 3*r - 194, -2*o + 3*r - 178 = 0. Let n be (-8 - o)*(1 - (1 + 1)). Let p = 41 + n. Is -43 greater than or equal to p?
True
Let g = 188 + -187.19. Let l = g + -0.15. Let c = 0.56 - l. Is 0.1 bigger than c?
True
Suppose -3*b - 2*u + 18 = -4*u, 5*b - 2*u = 30. Suppose -150 = 16*o - b*o. Which is bigger: 5 or o?
5
Let o(n) = -3*n - 7. Let t be o(-2). Let b be (-3 - 2) + -6 + t. Is b > -12?
False
Suppose 236*t = -11*w + 232*t - 2, -5*w - 2*t = 2. Which is smaller: w or 1606?
w
Let j be ((-1)/(-3))/((-1)/(-3)). Let y be ((-66)/11)/(52/(-1902)). Let r = y + -219. Are j and r nonequal?
True
Let j(t) = -t**2 + 10*t + 19. Let r be j(19). Let g = r + 161. Which is greater: g or 77/8?
77/8
Let u = -209 - -204. Let n be 6/((-1)/1) - u. Let k be 56/(-174) + 2/3. Which is smaller: k or n?
n
Let h = -1599 + 1595. Let y = -15 + 14. Is y < h?
False
Let j be 165 + 4/((-20)/35). Let g be j/320 + 12/(-30). Which is greater: 0.2 or g?
0.2
Let m = -393 - -344. Let o be ((-28)/(-35) - m/20) + 2. Is 4 smaller than o?
True
Let s be 2 - 1279/(-44) - (28 - 33). Let b = -438/11 + s. Suppose y + 2*g + 6 = -3, 5*g = 5*y + 15. Are b and y unequal?
True
Let z = 20846/5997855 + -12/2735. Is -1 at least z?
Fals
|
{
"pile_set_name": "DM Mathematics"
}
|
x + -83. Which is smaller: q or p?
p
Let j = -202617/38 + 5330. Which is bigger: j or -1?
-1
Suppose 0 = 67*j - 63*j + 280. Let q = 76 + j. Let x be (q/20)/(42/35). Which is smaller: x or -0.3?
-0.3
Let g(l) = l**3 + 23*l**2 - 48*l + 51. Let s be g(-25). Which is smaller: s or 3525?
s
Let c(o) = -o**2 - 1. Let i(z) = 39*z**2 - 26*z**2 - 17*z**2 + 5*z. Let g(v) = 5*c(v) - i(v). Let u be g(-4). Which is bigger: u or -2/23?
-2/23
Let v be ((-24)/(-18))/(4/57). Suppose 0 = 8*x - v*x - 396. Which is bigger: x or -243/7?
-243/7
Let t = -488 - -620. Let d be (-57)/t - 5/((-110)/4). Is 23 greater than d?
True
Let w = 679 + -461. Let p = -249 + w. Is p greater than -31?
False
Let a = -6 + 2. Let n = 1027115/66 - 15563. Let h = 1/66 - n. Is a at least as big as h?
False
Let g = -3045 - -3061. Which is bigger: 33 or g?
33
Suppose -5*n - 428 = 2*r - 450, 0 = -5*n - 4*r + 44. Let q = -8 + 3. Let y be (1/25)/((-2)/q). Are y and n non-equal?
True
Let z = 12 + -2. Let f be -1*(-8)/z*35/14. Suppose 0 = -2*u + f*s - 92, -4*s = -2*u - 5*s - 86. Is -45 less than u?
True
Let f = -244.2 + 56.4. Let b = f + 188. Which is smaller: -56/3 or b?
-56/3
Let d(a) = a**3 + a**2 - 19*a + 42. Let y be d(2). Is y greater than 85?
False
Let n = 47.2111 + -0.2111. Is n at least -43?
True
Suppose -2*p = 39 + 27. Let u be 0/3 + 30/p. Let l(m) = m**3 - 6*m**2 - 26*m + 3. Let y be l(-3). Which is smaller: y or u?
u
Let u(w) = 3*w**2 + 12*w + 15. Let m be u(-4). Suppose -m*a = -23*a - 408. Is a >= -47?
False
Suppose 2*b - m - 4 = -4*m, 5*m = 5*b + 15. Let a(p) = 10*p**2 + 8*p - 1. Let c be a(-1). Let h be b + c + -3 + 2. Is 3/38 at most h?
False
Suppose -2*w + v = -66 + 8, -2 = -v. Is w smaller than 13?
False
Let c be 332592/(-498537) - 2/(-3). Which is smaller: 0 or c?
c
Let c = -67 + 82. Suppose 0*g + g = c. Suppose 7*j - g = 11*j + d, 18 = -5*j - 2*d. Is j smaller than -13/5?
True
Suppose -3*w - 787 + 1003 = -4*q, 2*q + 152 = -4*w. Suppose -3*l = 15, t - 3*l + 45 = -l. Which is bigger: q or t?
t
Let n = 854 + -2264. Let d = n + 7004/5. Let i = -9 - d. Is -2 less than or equal to i?
True
Let u be 82/410 + (-6288)/31790. Which is greater: -1 or u?
u
Let c(z) = 2*z - 1. Suppose 0 = 3*s + 8*s - 66. Let r be c(s). Let b be (r + -1)/(56/(-42)). Which is greater: b or -7?
-7
Let p be (-9)/(-5) - ((-36)/(-3))/4. Let h = -124/95 - p. Is -2/5 < h?
True
Let p = 0 + 3. Let w = 5 + p. Suppose -n + 16 = -x, 2*x - w = 4*n - 40. Are -15 and x non-equal?
True
Let g be (-2 + 14)/(9/1968*4). Let v be g/(-246)*(30/(-4))/1. Which is bigger: -3 or v?
v
Let c = 394/23 - 7312/161. Let k = -79 + 50. Which is smaller: c or k?
k
Let o be (353/1)/(-4 + -3). Which is smaller: -49 or o?
o
Suppose j + 30 = 3*j + 2*t, -2*t - 25 = -3*j. Let i be ((-11)/j)/(11/(-6) - -2). Let a(y) = -y + 11. Let m be a(6). Which is smaller: m or i?
i
Suppose 2*s = -4*b + 26, s + 31 = 5*b + 2*s. Suppose 0 = q - f + 2, -b = 2*f - 4*f. Which is smaller: q or -2/247?
-2/247
Suppose d - 2 = -3*o, -5*o = -0*d + d. Suppose x - d*x = -5*t + 40, -5*x + 3*t - 63 = 0. Which is smaller: -14 or x?
x
Let b(a) = 18*a**3 - 4*a - 9. Let o be b(3). Let p = 81 + 385. Is p < o?
False
Let f = 106 - 56. Suppose 0 = -r + 12*y - 8*y + 957, 0 = y. Let t = r + -908. Which is greater: f or t?
f
Let b(u) = 2*u**3 - u**2 - 15*u + 926. Let w be b(0). Which is greater: w or 929?
929
Suppose 4*k = 3*s + 165, 0 = 2*k - 5*s - 8 - 57. Let y be (16/9 - 2) + 1270/k. Suppose -y + 70 = -3*z. Are z and -15 non-equal?
True
Suppose 74*m = 2225 + 11539. Which is greater: m or 193?
193
Let j = -97 - -110. Let n = 425 - 1699/4. Which is greater: j or n?
j
Suppose -j = -w - 5, 2*j - 1 = -2*w + 1. Suppose 0 = -3*b - j*v + 119 + 1, -25 = -5*v. Is b < -7?
False
Let c = -20.01 + 20.074. Is 0.73 smaller than c?
False
Let i = -4 + 3. Suppose 4*a = 51 - 15. Let d = a + i. Which is smaller: d or 9?
d
Suppose -5*r = -5*f - 25, -3*f - 7*r + 3*r + 6 = 0. Let a be (-30)/6 - (f - 2). Let i be 2*2*a + (-476)/(-126). Is i <= -1?
False
Let y = -102.65 - 3.05. Let p = -75 + -31. Let s = y - p. Which is smaller: 1/9 or s?
1/9
Suppose -l = g - 2*g - 17, -5*g - 4*l - 121 = 0. Let n be 0 + -1 + (-3 + 7 - g). Let s be (-3)/2*n/(-36). Is 1/3 at most s?
True
Let k = -24 - 129. Let y = k + 153. Let u be (-6)/(-15) - (-12)/(-10). Which is smaller: y or u?
u
Let j(v) = -v**3 + 10*v**2 - 21*v - 5. Let i(t) = -3*t**3 + 31*t**2 - 64*t - 16. Let f(r) = 3*i(r) - 8*j(r). Let l be f(10). Let p = l - 56. Does p = 13?
False
Let z = 58.3 + -58.58. Is z not equal to -5?
True
Let s be (-5 - (-65)/10)*80. Suppose 18*k - 16*k - s = 0. Which is bigger: -2 or k?
k
Let q be ((-22)/66)/(10/41490). Which is greater: q or -1382?
-1382
Suppose -56*f + 52*f = -4*s - 2252, 5*s = -2*f + 1105. Does 559 = f?
False
Let p = 182/267 + -31/89. Which is smaller: -25.8 or p?
-25.8
Let p be ((2 - 17)/5)/((-6)/32). Let m be p/(-130)*(-178)/(-4). Let j = m + 66/13. Which is smaller: j or -1?
-1
Let c = -11650 - -11786. Which is bigger: 121 or c?
c
Let k = 2593 - 2566.62. Let y = k - 2.38. Which is smaller: y or 0.06?
0.06
Let g be 21/(882/(-8))*6/(-4). Is -2027 > g?
False
Let s = 87 + -85. Suppose -3*z + 2*n = s, -2*z + 3*z + 5 = 5*n. Are 2/27 and z non-equal?
True
Suppose 4*o + 93 = o. Let v = 10334 + -10365. Is v >= o?
True
Let p(y) be the first derivative of -4*y**3/3 + 2*y**2 - 4*y + 9. Let x be p(2). Let l(k) = k**3 - 8*k**2 - 36*k + 22. Let r be l(11). Which is greater: x or r?
r
Let r = 1.0929 + -0.9229. Which is smaller: r or 0.37?
r
Let r be 8*4/40 + 419/(-5). Let l be (-4)/32*-4*r. Is l at least -43?
True
Suppose -957 = 33*z - 165. Which is greater: z or -1008/43?
-1008/43
Let w(s) = -s + 8. Let n be w(-5). Let f be -7 + n + 2 + -9. Which is greater: f or 2/103?
2/103
Let x = -3562 - -3654. Suppose 0*c + 3 = 3*c. Are x and c equal?
False
Let u(q) = -27*q - 3. Let a be u(-7). Let r = 37720 - 37536. Do r and a have the same value?
False
Let b = -23.83 - 5.27. Let i = b + 29.6. Is 12 != i?
True
Suppose 8 = 2*a - d - d, -2*d = 4*a - 10. Suppose -s - a*k + 598 = -2*k, 6 = -2*k. Let u = -3019/5 + s. Which is bigger: -4 or u?
u
Let l be (4/28)/(420/(-17150)). Let h(t) = 7*t**2 - 8*t - 19. Let n(s) = 4*s**2 - 4*s - 10. Let k(w) = -3*h(w) + 5*n(w). Let b be k(6). Which is bigger: b or l?
b
Suppose 353*n - 360*n - 476 = 0. Let z be 136/207 + n/102. Which is greater: z or 0?
0
Let b be ((-2)/(-4))/(27/240). Suppose -13*g + 430 = 73*g. Let d be 3/(0 + g + -4). Is b at least as big as d?
True
Suppose -31*o - 42*o - 828897 = -4*o. Which is bigger: o or -1/3?
-1/3
Let s(u) = -2*u**3 + 32*u + 57. Let x be s(-3). Are 52 and x nonequal?
True
Let k(r) = r**3 - 7*r**2 + r - 9. Let s be k(7). Let m be 630/(-3102) - s/11. Let z(q) = q**2 - 1. Let w be z(0). Which is greater: w or m?
m
Let m be -1*(17 + -15) + (-2599 - -4). Is -2598 smaller than m?
True
Let i = 6380/189 - 59/27. Is i smaller than 31?
False
Let c = 95 + -98. Let l be ((-15)/5 + 4)/(c - -1). Is -1 greater than l?
False
Let w = 19/24 - 9/8. Let k = 1005.3 - 810.3. Is w >= k?
False
Let m = -431.9119 + 431.9. Is 6/7 bigger than m?
True
Let j be 8/2*99/(-308). Let w = -10/7 - j. Is w <= 0?
True
Let d = 0.7468 - 0.0528. Let i = d - 0.194. Is i at most -1/17?
False
Let l be ((-9)/(-12))/((-6)/2846). Suppose 0 = 42*v - 93*v - 18411. Let y = l - v. Which is greater: 5 or y?
y
Let q(u) be the first derivative of 2*u**2 - 56*u + 16. Let b be q(11). Which is bigger: -82/7 or b?
-82/7
Suppose 5*w + 2*r - 470 = 0, 4*w - 4*r = 3*w + 72. Suppose 2*j - v - 4 = -72, -3*j + 4*v - w = 0. Let d = j - -36. Which is bigger: d or -3?
d
Let o be ((-6)/56)/((-492)/546) + (-2)/(-16). Do 1 and o have the same value?
False
Let s = -1399 + 2797/2. Which is greater: -1370 or s?
s
Suppose 3*d + 5*a - 23 = 8, 26 = 2*d - 2*a. Let s be (498/d)/((-2)/4). Let i be 9/((-18)/(-4)) - s. Is i at most as big as 85?
True
Let a(x) = -298 + 298 - x**3 + 6*x**2 + x - 6*x. Let f be a(1). Which is smaller: f or -2/37?
-2/37
Let n be (-4)/14 - (-2)/7. Suppose 0 = -3*c - 0*c + 3. Let j be -4 + 6/c - (-2)/(-2). Which is greater: j or n?
j
Let k = 919889256/13049 + -70495. Which is smaller: 0 or k?
0
Let v = -345 - -467. Suppose -4*n = 2*t - v, 5*n = -t + 146 + 8. Suppose i - 118 = -4*u, -43 = 4*u + 2*i - 163. Is u not equal to
|
{
"pile_set_name": "DM Mathematics"
}
|
ce sll when three letters picked without replacement from {j: 2, l: 2, s: 1, m: 1, d: 1}.
1/105
What is prob of sequence eo when two letters picked without replacement from {e: 2, u: 4, w: 1, o: 9}?
3/40
Four letters picked without replacement from emdezemen. Give prob of sequence mzed.
1/378
Three letters picked without replacement from txxvxxppxyxvv. What is prob of sequence txp?
1/143
Calculate prob of sequence lj when two letters picked without replacement from {x: 1, j: 1, l: 1, s: 2}.
1/20
Calculate prob of sequence tdt when three letters picked without replacement from dtdtttttdtttrtttt.
39/340
Calculate prob of sequence ng when two letters picked without replacement from gngnnn.
4/15
What is prob of sequence xsvs when four letters picked without replacement from {v: 1, x: 8, t: 2, o: 2, s: 2}?
2/4095
Calculate prob of sequence wzh when three letters picked without replacement from {h: 6, z: 2, w: 4}.
2/55
What is prob of sequence rm when two letters picked without replacement from rmmdrmr?
3/14
Two letters picked without replacement from dnnggnggndggg. What is prob of sequence gg?
7/26
What is prob of sequence rx when two letters picked without replacement from {a: 3, r: 4, x: 1, w: 1, e: 4, m: 1}?
2/91
Calculate prob of sequence iiii when four letters picked without replacement from iiiii.
1
Calculate prob of sequence uaqg when four letters picked without replacement from ujauaaajjgqaajgjg.
3/4760
What is prob of sequence tttt when four letters picked without replacement from tzrrrztztztzt?
1/143
Four letters picked without replacement from xhunhnxhnuull. Give prob of sequence unll.
3/2860
Two letters picked without replacement from wtiiitrtttirtwr. Give prob of sequence tr.
3/35
Three letters picked without replacement from {r: 3, o: 5, u: 1, v: 1, m: 4, k: 1}. What is prob of sequence oor?
2/91
What is prob of sequence foo when three letters picked without replacement from fofoofoo?
5/28
Three letters picked without replacement from nngpbpieinp. Give prob of sequence pbe.
1/330
Four letters picked without replacement from {f: 2, r: 3}. What is prob of sequence frrr?
1/10
Two letters picked without replacement from {z: 2, c: 9, p: 8}. What is prob of sequence zp?
8/171
What is prob of sequence ayxm when four letters picked without replacement from {x: 8, y: 4, m: 2, a: 2}?
4/1365
What is prob of sequence jol when three letters picked without replacement from opjoluj?
2/105
Calculate prob of sequence idd when three letters picked without replacement from ddjisjsjidjj.
1/110
Calculate prob of sequence ppp when three letters picked without replacement from ppipiiippippipcit.
7/85
What is prob of sequence te when two letters picked without replacement from eteeetteeteeie?
18/91
Two letters picked without replacement from {q: 16, j: 2}. Give prob of sequence qq.
40/51
Three letters picked without replacement from {z: 1, l: 2, i: 4}. What is prob of sequence izi?
2/35
Four letters picked without replacement from qqxxxxqxxqqqx. Give prob of sequence qxqx.
21/286
Three letters picked without replacement from zltnc. What is prob of sequence lct?
1/60
Calculate prob of sequence kekk when four letters picked without replacement from {e: 1, k: 11, t: 5}.
33/1904
Three letters picked without replacement from wlllwew. Give prob of sequence lll.
1/35
Four letters picked without replacement from {n: 10, g: 2}. What is prob of sequence nggn?
1/66
Four letters picked without replacement from {k: 13, a: 6}. Give prob of sequence aaak.
65/3876
Calculate prob of sequence li when two letters picked without replacement from llllllllllligll.
13/210
Four letters picked without replacement from uuurrcu. Give prob of sequence rucu.
1/35
Four letters picked without replacement from {c: 4, y: 7}. What is prob of sequence yycc?
7/110
What is prob of sequence tp when two letters picked without replacement from nntnp?
1/20
Calculate prob of sequence rj when two letters picked without replacement from {j: 2, r: 7}.
7/36
Two letters picked without replacement from {f: 18, w: 2}. What is prob of sequence ff?
153/190
Calculate prob of sequence ikik when four letters picked without replacement from {k: 2, h: 3, i: 3}.
1/140
Two letters picked without replacement from kkbbbki. What is prob of sequence bk?
3/14
Three letters picked without replacement from {z: 3, g: 4, j: 2, f: 1}. What is prob of sequence zzf?
1/120
Calculate prob of sequence rc when two letters picked without replacement from wrcwwrccwnfn.
1/22
What is prob of sequence wows when four letters picked without replacement from hposwwp?
1/420
Calculate prob of sequence zza when three letters picked without replacement from {z: 2, a: 10, b: 2, l: 1, v: 2, i: 2}.
10/2907
Three letters picked without replacement from {l: 7, y: 2, v: 2, a: 1, t: 1, c: 1}. Give prob of sequence lay.
1/156
Calculate prob of sequence kkw when three letters picked without replacement from {k: 3, w: 2, n: 1, p: 4}.
1/60
What is prob of sequence llu when three letters picked without replacement from elluleekslce?
1/110
Three letters picked without replacement from hxfxxxhfxff. Give prob of sequence hxx.
4/99
Two letters picked without replacement from zazvxtj. What is prob of sequence vt?
1/42
Three letters picked without replacement from pippipe. What is prob of sequence ipp?
4/35
Three letters picked without replacement from rrrcrrmcbmr. What is prob of sequence mrb?
2/165
Calculate prob of sequence iypp when four letters picked without replacement from {c: 1, j: 1, p: 1, i: 1, y: 1, s: 2}.
0
Calculate prob of sequence qqm when three letters picked without replacement from uumwmwmwuqmqumqmmmw.
8/969
Two letters picked without replacement from yjyedmu. What is prob of sequence ee?
0
Calculate prob of sequence soso when four letters picked without replacement from {p: 2, s: 3, o: 3}.
3/140
Two letters picked without replacement from {z: 3, y: 6, f: 6, n: 4}. What is prob of sequence ff?
5/57
Two letters picked without replacement from {l: 2, m: 3, n: 1, b: 1, j: 3}. Give prob of sequence mn.
1/30
What is prob of sequence rob when three letters picked without replacement from ooooroooqoooqooob?
13/4080
What is prob of sequence yyh when three letters picked without replacement from pphyfpryrzfpyzhyfyf?
20/2907
Three letters picked without replacement from iiivivv. Give prob of sequence vvv.
1/35
What is prob of sequence fn when two letters picked without replacement from {i: 1, n: 1, z: 4, q: 2, f: 1}?
1/72
Two letters picked without replacement from {u: 1, t: 2, r: 3, j: 3, s: 2, d: 1}. What is prob of sequence dj?
1/44
Calculate prob of sequence oez when three letters picked without replacement from {z: 3, e: 3, p: 2, c: 1, o: 2, j: 1}.
3/220
Calculate prob of sequence zyz when three letters picked without replacement from {z: 2, y: 1, d: 1}.
1/12
Four letters picked without replacement from {j: 1, v: 8, i: 6}. What is prob of sequence ivvv?
4/65
Two letters picked without replacement from {b: 2, z: 2, j: 2}. What is prob of sequence jj?
1/15
What is prob of sequence xii when three letters picked without replacement from {x: 6, i: 2}?
1/28
What is prob of sequence kkkn when four letters picked without replacement from {k: 7, n: 5}?
35/396
What is prob of sequence kkk when three letters picked without replacement from uqqkkkkukkqkkq?
2/13
Calculate prob of sequence rrx when three letters picked without replacement from {x: 3, r: 7, z: 1, s: 3}.
3/52
What is prob of sequence cj when two letters picked without replacement from {i: 5, j: 1, c: 3}?
1/24
What is prob of sequence mlii when four letters picked without replacement from iimddmddml?
1/840
What is prob of sequence uww when three letters picked without replacement from {c: 2, u: 1, w: 1}?
0
Three letters picked without replacement from {h: 3, g: 5, u: 5}. Give prob of sequence hhh.
1/286
Four letters picked without replacement from yyggggiiyyiiyyyy. What is prob of sequence iiii?
1/1820
Calculate prob of sequence ba when two letters picked without replacement from yybaobbyayoyyyayy.
9/272
What is prob of sequence cx when two letters picked without replacement from {c: 2, x: 2, d: 2}?
2/15
Two letters picked without replacement from {q: 1, z: 3, h: 1}. What is prob of sequence
|
{
"pile_set_name": "DM Mathematics"
}
|
ment from {m: 13, w: 3}.
13/40
What is prob of picking 1 q, 1 l, 1 r, and 1 u when four letters picked without replacement from {u: 2, e: 2, q: 2, l: 1, r: 1, d: 1}?
2/63
Four letters picked without replacement from hhmhmhhhhhhh. Give prob of picking 1 m and 3 h.
16/33
What is prob of picking 1 m and 1 l when two letters picked without replacement from {k: 5, l: 4, m: 1}?
4/45
Two letters picked without replacement from {l: 3, f: 13}. Give prob of picking 2 l.
1/40
What is prob of picking 2 s and 1 j when three letters picked without replacement from {g: 8, s: 5, o: 3, q: 1, j: 2}?
20/969
Four letters picked without replacement from {v: 4, w: 1, q: 3}. What is prob of picking 1 v, 1 w, and 2 q?
6/35
Two letters picked without replacement from cxccfxccxxxxcccccxa. Give prob of picking 1 c and 1 f.
10/171
Two letters picked without replacement from {e: 3, x: 5, s: 6, y: 2, j: 2}. Give prob of picking 1 e and 1 s.
2/17
Two letters picked without replacement from bmmbmm. What is prob of picking 2 b?
1/15
What is prob of picking 2 j, 1 k, and 1 v when four letters picked without replacement from {s: 3, v: 1, k: 4, c: 2, d: 1, j: 4}?
8/455
Calculate prob of picking 1 p and 2 l when three letters picked without replacement from {g: 2, p: 3, l: 4}.
3/14
Calculate prob of picking 2 t when two letters picked without replacement from uutttuuututuu.
5/39
Two letters picked without replacement from tusthmb. What is prob of picking 1 u and 1 b?
1/21
Three letters picked without replacement from cnyyyynncynn. Give prob of picking 2 n and 1 y.
5/22
Two letters picked without replacement from yvuvyvvycvvyuyvay. What is prob of picking 1 c and 1 y?
3/68
Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {w: 7, a: 3}.
3/10
Two letters picked without replacement from {c: 1, f: 2, m: 1, u: 1}. What is prob of picking 1 f and 1 m?
1/5
Two letters picked without replacement from qmqmqm. Give prob of picking 2 m.
1/5
Calculate prob of picking 2 x when two letters picked without replacement from xxmmmmxmtmxtxxm.
1/7
What is prob of picking 1 i and 1 f when two letters picked without replacement from {j: 1, m: 1, x: 2, q: 1, f: 1, i: 1}?
1/21
What is prob of picking 1 c and 3 w when four letters picked without replacement from ccwwcowwwwwwycxcw?
3/17
Calculate prob of picking 1 h and 1 l when two letters picked without replacement from hwwwwhwwzwwzwwwlwllw.
3/95
Three letters picked without replacement from {a: 4, t: 6}. Give prob of picking 2 t and 1 a.
1/2
What is prob of picking 1 q and 2 j when three letters picked without replacement from qffjqfqqqjqffffq?
1/80
Two letters picked without replacement from oowoamomamssms. What is prob of picking 1 m and 1 o?
16/91
Calculate prob of picking 1 v and 1 f when two letters picked without replacement from fivfkfivvkvvfjivvf.
35/153
Three letters picked without replacement from {v: 5, d: 5, i: 5, q: 2}. What is prob of picking 1 v and 2 q?
1/136
Four letters picked without replacement from {s: 4, t: 5, q: 2, r: 2}. Give prob of picking 2 q, 1 t, and 1 s.
4/143
What is prob of picking 3 e when three letters picked without replacement from {e: 4, c: 8, w: 1}?
2/143
Two letters picked without replacement from {a: 1, c: 3, n: 3, x: 2, h: 3, y: 1}. What is prob of picking 1 y and 1 h?
1/26
Three letters picked without replacement from zzwwjp. Give prob of picking 2 z and 1 w.
1/10
Two letters picked without replacement from illgislglsg. What is prob of picking 1 i and 1 l?
8/55
Three letters picked without replacement from {t: 1, d: 1, u: 1, g: 1, e: 3}. What is prob of picking 1 g, 1 d, and 1 u?
1/35
Four letters picked without replacement from {y: 4, n: 9, p: 6}. Give prob of picking 1 p and 3 n.
42/323
Two letters picked without replacement from yeyyyyseyzoyyzssy. Give prob of picking 2 z.
1/136
Three letters picked without replacement from {r: 4, j: 2, e: 3}. Give prob of picking 1 e and 2 j.
1/28
Calculate prob of picking 1 o and 1 f when two letters picked without replacement from bbffbfxfobf.
1/11
Two letters picked without replacement from {d: 2, y: 5, l: 4}. Give prob of picking 1 l and 1 d.
8/55
Three letters picked without replacement from {k: 4, p: 4, f: 3}. Give prob of picking 3 f.
1/165
Two letters picked without replacement from {u: 4, e: 9, z: 3, r: 2}. Give prob of picking 1 e and 1 r.
2/17
What is prob of picking 1 y and 1 b when two letters picked without replacement from {b: 1, y: 2, s: 7, a: 2, q: 6}?
2/153
What is prob of picking 2 f when two letters picked without replacement from fggfffffffgfff?
55/91
Two letters picked without replacement from tflflfjxfxffl. What is prob of picking 1 x and 1 j?
1/39
Two letters picked without replacement from okkkowkkwuknowko. What is prob of picking 1 o and 1 n?
1/30
Calculate prob of picking 2 h and 1 k when three letters picked without replacement from {s: 2, k: 8, h: 2, y: 4}.
1/70
What is prob of picking 1 g, 1 u, and 2 q when four letters picked without replacement from {g: 1, q: 4, u: 8}?
48/715
What is prob of picking 1 c and 1 j when two letters picked without replacement from {r: 2, d: 9, c: 2, j: 5}?
10/153
Four letters picked without replacement from {m: 3, z: 1, y: 4, g: 3}. Give prob of picking 2 m and 2 g.
3/110
Calculate prob of picking 1 g and 2 a when three letters picked without replacement from {q: 4, z: 1, g: 2, m: 3, a: 9}.
24/323
Two letters picked without replacement from {e: 2, b: 4, p: 1, k: 1, w: 1}. What is prob of picking 1 w and 1 b?
1/9
Calculate prob of picking 2 r, 1 e, and 1 i when four letters picked without replacement from vreeereirirri.
24/143
What is prob of picking 1 a and 2 p when three letters picked without replacement from {a: 11, p: 8, c: 1}?
77/285
Four letters picked without replacement from {e: 2, g: 3, n: 5, d: 7}. Give prob of picking 1 e, 1 d, and 2 g.
3/170
Four letters picked without replacement from {n: 4, q: 1, y: 4, s: 2}. Give prob of picking 3 n and 1 s.
4/165
Three letters picked without replacement from zaiubnzbzzaunzzz. Give prob of picking 1 a, 1 z, and 1 i.
1/40
Four letters picked without replacement from nnapnpnpnnnpppw. What is prob of picking 1 w, 2 n, and 1 a?
1/65
What is prob of picking 1 o, 1 g, and 2 y when four letters picked without replacement from {g: 2, y: 2, m: 2, o: 2}?
2/35
Calculate prob of picking 1 v, 1 a, and 1 r when three letters picked without replacement from agggaagargaaaaavg.
9/680
What is prob of picking 1 z and 2 r when three letters picked without replacement from {o: 4, i: 1, v: 6, r: 3, z: 1}?
3/455
What is prob of picking 1 t and 3 d when four letters picked without replacement from dddtdddttt?
8/21
What is prob of picking 1 g, 1 c, and 1 u when three letters picked without replacement from {b: 1, r: 1, f: 1, g: 1, c: 1, u: 2}?
2/35
Two letters picked without replacement from {h: 8, j: 5}. What is prob of picking 1 j and 1 h?
20/39
What is prob of picking 1 p and 2 c when three letters picked without replacement from {c: 3, p: 1, x: 2, w: 10}?
3/560
What is prob of picking 1 d, 2 u, and 1 o when four letters picked without replacement from aawudaaaowwudfw?
2/1365
Three letters picked without replacement from kvjkkha. Give prob of picking 1 a, 1 h, and 1 k.
3/35
Calculate prob of picking 1 i and 1 w when two letters picked without replacement from wiiwwwzziwi.
4/11
Calculate prob of picking 2 x when two letters picked without replacement from wwxxxx.
2/5
What is prob of picking 1 u and 1 j when two letters picked without replacement from jzutenneuuzt?
1/22
Calculate prob of picking 3 c and 1 t when four letters picked without replacement from tctcctcttt.
4/35
Three letters picked without replacement from {v: 10, z: 2}. What is prob of picking 3 v?
6/11
Four letters picked without replacement from {l: 5}. Give prob of picking 4 l.
1
Three letters picked without replacement from ubuubbubbbbbuubbyyb. Give prob of picking 1 b and 2 u.
55/323
Calculate prob of picking 2 h and 2 i when four letters picked without replacement from {i: 9, h: 10}.
135/323
Four letters picked without replacement from ttqootoccitnoot. Give prob of picking 2 t, 1 c, and 1 i.
4/273
Calculate prob of picking 1 w and 1 y when two letters picked without replacement f
|
{
"pile_set_name": "DM Mathematics"
}
|
4*g - 88. Let r(b) be the third derivative of 0 + 0*b**3 - g*b**2 + 0*b - 1/3*b**4 + 1/15*b**5. What is the second derivative of r(f) wrt f?
8
Suppose -10 - 11 = -3*p + n, -4*n - 7 = -p. What is the second derivative of 2*h + 5*h**3 - 5*h**3 - p*h + 10*h**5 wrt h?
200*h**3
Let s(j) be the first derivative of -15*j**4/4 - 43*j**3/6 - 28*j + 26. Let u(y) be the first derivative of s(y). Find the second derivative of u(w) wrt w.
-90
Let j(n) be the first derivative of n**7/70 - 3*n**4/8 + n**3/3 - 4. Let m(o) be the third derivative of j(o). Differentiate m(c) wrt c.
36*c**2
Differentiate 555*m + 20 - 9 - 183 + 34 + 59 with respect to m.
555
Let g(y) = -61*y - 1034. Let r be g(-17). Let w(j) be the first derivative of 0*j + 2*j**2 + 4/3*j**r + 3. What is the second derivative of w(s) wrt s?
8
Let w(f) = -3*f**3 - 123*f**2 - 5*f - 38. Let z(r) = -2*r**3 - 62*r**2 - 3*r - 19. Let h(x) = 3*w(x) - 5*z(x). What is the derivative of h(t) wrt t?
3*t**2 - 118*t
Let y(s) be the first derivative of 0*s**5 + 0*s**2 + 0*s**4 + 0*s - 26/3*s**3 + 13 + 13/3*s**6. Find the third derivative of y(o) wrt o.
1560*o**2
Let a(j) = -j**3 - 10*j**2 + j + 12. Let z be a(-10). Suppose -4*b = -5*d - 121, -d + 0*d - 1 = 0. Differentiate b - 13 - 5 - 8*r**z with respect to r.
-16*r
Let i(s) be the third derivative of -29*s**8/6720 + 5*s**5/24 - 23*s**4/12 + 48*s**2. Let u(y) be the second derivative of i(y). Differentiate u(z) wrt z.
-87*z**2
Let y = -31 - -22. Let k(s) = s**3 + 8*s**2 - 8*s + 11. Let v be k(y). Find the first derivative of -2*a + 0*a - v*a - 2*a + 11 wrt a.
-6
Let r(g) be the second derivative of 21*g**6/5 - g**5/10 - 13*g**2/2 + 47*g. What is the first derivative of r(a) wrt a?
504*a**3 - 6*a**2
Let u = 9 - 9. Suppose u = 5*g - 0*g - 15. Find the second derivative of -6*f - g*f**5 + f**5 + 0*f**5 + f wrt f.
-40*f**3
Let j(i) = -2271*i**2 - 2011*i - 11. Let l(u) = 454*u**2 + 402*u + 2. Let s(f) = 2*j(f) + 11*l(f). Find the second derivative of s(g) wrt g.
904
What is the third derivative of k + 13*k - 23*k**4 + 12*k**2 - 3*k**3 - 5*k**4 + 15*k**4 wrt k?
-312*k - 18
Let t = 101 - 88. Find the third derivative of -p**3 + 40*p**2 + 2*p**3 + 0*p**3 + t*p**5 wrt p.
780*p**2 + 6
Let q(j) be the second derivative of 0 + j**2 + 0*j**4 - 11*j + 1/2*j**5 + 0*j**3. What is the first derivative of q(b) wrt b?
30*b**2
Let k(c) = -13*c**4 - 8*c**3 + 6*c**2 + 7*c + 8. Let z(w) = -2*w**4 - w**3 + w**2 + w. Let m(o) = -k(o) + 6*z(o). Find the second derivative of m(n) wrt n.
12*n**2 + 12*n
Suppose -p = 10 - 13. What is the third derivative of -f**2 - 3*f**2 - p*f**2 - 5*f**2 + 51*f**3 + 2*f wrt f?
306
Let l be (-3 - (-3 + -6)) + (-2)/(-2). Differentiate 8*x - l + 124 - 71 wrt x.
8
Let y(k) = 3*k**3 - 38*k**2 - 132*k. Let s(n) = 9*n**3 - 113*n**2 - 396*n. Let w(h) = 3*s(h) - 8*y(h). What is the second derivative of w(d) wrt d?
18*d - 70
Let m(g) be the second derivative of 23*g**5/60 - 3*g**3 - 16*g**2 - 33*g. Let w(p) be the first derivative of m(p). Differentiate w(b) wrt b.
46*b
Let f be 16*(3 + 84/(-16)). Let o = -23 - f. Find the first derivative of 3*t**3 + o*t + 4 - 13*t wrt t.
9*t**2
Let o(q) = -201*q**4 + 6*q**3 + 3*q + 6. Let a(d) = -202*d**4 + 7*d**3 + 3*d + 7. Let r(z) = 6*a(z) - 7*o(z). Find the second derivative of r(t) wrt t.
2340*t**2
Let h be (-28)/(-2)*4/8. What is the third derivative of -12*r**2 - 7*r**5 - 2*r**5 - h*r**5 + 19*r**5 wrt r?
180*r**2
Let b(v) be the first derivative of 3*v**5/5 + 33*v**4/2 - 31*v**2/2 - 271. What is the second derivative of b(u) wrt u?
36*u**2 + 396*u
Let f(t) = -7*t**2 - 222*t - 157. Let v(j) = -j**2 + j - 1. Let w(k) = f(k) - 5*v(k). Differentiate w(r) wrt r.
-4*r - 227
Let z(h) be the third derivative of -33*h**5/5 + 203*h**3/6 - 570*h**2. What is the first derivative of z(n) wrt n?
-792*n
Let u = 6 - 6. Suppose 4*d - 16 = -u. What is the second derivative of 2*b**2 - d*b**2 + 0*b**2 + 3*b wrt b?
-4
Let p(x) be the first derivative of 28*x**5/5 + x**3/3 + 89*x**2/2 - 57. Find the second derivative of p(t) wrt t.
336*t**2 + 2
Suppose 4*x = 6*x - 2. Let g be x/(-5) - 12/(-60). Find the second derivative of k**2 - 2*k**2 - 3*k + g*k wrt k.
-2
Let b(a) = -28*a**3 - 242*a - 186. Let t(d) = -3*d**3 + d - 2. Let k(m) = -b(m) + 10*t(m). What is the derivative of k(h) wrt h?
-6*h**2 + 252
Suppose 0 = 20*z + 31*z - 12*z. Let y(s) be the third derivative of -1/2*s**4 + z*s - 1/6*s**3 - 2*s**2 + 0. What is the first derivative of y(k) wrt k?
-12
Let v(q) = -33*q + 69. Let l(a) = 66*a - 139. Let r(n) = -6*l(n) - 11*v(n). Find the first derivative of r(b) wrt b.
-33
Let d(i) = i - 6. Let v be d(10). Suppose -m + 2 = -v. Find the third derivative of z**6 - 8*z**m + 2*z**2 + 5*z**6 wrt z.
-240*z**3
Let z(w) = -574*w**3 - 362*w**2. Let t(i) = -287*i**3 - 182*i**2. Let v(n) = -9*t(n) + 4*z(n). What is the third derivative of v(k) wrt k?
1722
What is the second derivative of -270*r - 44*r**2 + 64*r + 4 - 11 + 7 wrt r?
-88
Let w = 37 - 35. Differentiate -22 + l - w*l + 13 + 17 wrt l.
-1
Let l(a) be the third derivative of -83*a**6/30 + 5*a**4/8 - a**3/3 - 4*a**2 + 14*a. What is the second derivative of l(b) wrt b?
-1992*b
Let q be (-2)/(-4) - (-1)/(-2). Let y = 64 + -64. What is the second derivative of -3*j**4 - 4*j**4 - 3*j + q*j**4 + y*j**4 wrt j?
-84*j**2
Let h(s) = -s**3 - 11*s**2 + 12*s + 4. Let z be h(-12). Find the second derivative of 353*w**2 - 3*w**3 + z*w - 353*w**2 wrt w.
-18*w
Let j(b) be the second derivative of -41*b**4/4 + b**3/3 - 110*b**2 - 820*b. What is the second derivative of j(u) wrt u?
-246
Find the third derivative of -107*q**5 + 53*q**2 - 291*q**2 - 2*q + 2*q wrt q.
-6420*q**2
Let a(n) = 3*n - 2 - 9*n + n + 0. Let l(x) = x**2 - 6*x - 2. Let r(s) = -6*a(s) + 5*l(s). Differentiate r(w) with respect to w.
10*w
Let n be (-3)/(-1) + 4 + -2. Suppose -n*o = d - 3*d, 0 = 5*d - 25. What is the third derivative of 2*k**3 - 44 - 7*k**o + 44 + 0*k**3 wrt k?
12
Let x(s) be the third derivative of 2*s**8 + s**4/8 + 4*s**3 + 3*s**2 - 50. Find the second derivative of x(c) wrt c.
13440*c**3
Let l(g) be the second derivative of 37/2*g**2 + 0 - 32*g + 10/3*g**3. What is the derivative of l(a) wrt a?
20
What is the first derivative of 57 + 6*o - 28*o - 25*o + 9*o wrt o?
-38
Let s(f) = 5 - 4*f**2 - 6*f + 1 + 0 + 2. Let a(c) = -c**2 - c - 1. Let y(g) = 6*a(g) - s(g). What is the derivative of y(o) wrt o?
-4*o
Suppose 4*q = -5*t + 64, -5*q + 0*t + 2*t + 80 = 0. What is the first derivative of q - 13*n - 5*n - n wrt n?
-19
Let f(q) = 32*q**3 - 3*q**2 + 46*q + 3. Let k(d) = -33*d**3 + 2*d**2 - 45*d - 2. Let i(j) = 2*f(j) + 3*k(j). What is the second derivative of i(p) wrt p?
-210*p
Let n(y) = -218*y**4 + 2*y**2 - 5*y - 805. Let j(h) = -109*h**4 + h**2 - 2*h - 403. Let r(p) = -5*j(p) + 2*n(p). What is the first derivative of r(c) wrt c?
436*c**3 - 2*c
Let h(a) be the third derivative of -43*a**7/210 - 13*a**4/24 - 12*a**2 + 1. Find the second derivative of h(z) wrt z.
-516*z**2
Suppose 2*o - 54 = -7*o. What is the first derivative of 18 - 7*p - 11*p + o - 13*p wrt p?
-31
Suppose -6*b = -2*b + 3*h - 11, 0 = -b + h + 1. What is the third derivative of 9*j**5 + 6*j**5 + 2*j**2 + 4*j**b wrt j?
900*j**2
Let n(k) = 171*k**4 - 12*k**3 - 350*k + 6. Let f(t) = -t**4 + 2*t**3 + t - 1. Let h(y) = 6*f(y) + n(y). What is the second derivative of h(d) wrt d?
1980*d**2
Let c(h) = -h. Let p(j) = -426*j**3 + j**2 + 115*j. Let w(o) = -c(o) + p(o). What is the third derivative of w(k) wrt k?
-2556
Let f(u) be the third derivative of 0*u**4 + 0 - 3/70*u**7 + 0*u**5 + 0*u**6 + 0*u - 18*u**2 - 14/3*u**3. What is the derivative of f(s) wrt s?
-36*s**3
Let m(g) = -33*g + 19. Suppose 0*p - 2*x = 5*p - 10, 3*p = -3*x + 6. Let j(i) = 16*i - 10. Let y(o) = p*m(o) + 5*j(o). What is the derivative of y(v) wrt v?
14
What is the second derivative of -5*q**2 + q**2 + 18*q**2 + 33*q**2 - 54*q + 9*q**2 wrt q?
112
Let c(t) = 253*t**4 + 4*t + 70. Let k(m) = 504*m**4 + 7*m + 140. Let b(a) = -7*c(a) + 4*k(a). Differentiate b(l) wrt l.
980*l**3
Let p(k) be the first derivative of -7*k**6/10 - 5*k**3/2 + 5*k + 21. Let s(a) be the first derivative of p(a). Find the second derivative of s(q) wrt q.
-252*q**2
Let x = 45 - 38. Find the third derivative of -3*g**2 + x*g**2 + 0*g*
|
{
"pile_set_name": "DM Mathematics"
}
|
35
What is 88 times 511?
44968
Work out 0.030767 * 4.
0.123068
-22.2*31.2
-692.64
Calculate -29*-0.07.
2.03
89820 * 2
179640
2732*-0.02
-54.64
What is the product of 2.3 and -8.3?
-19.09
Multiply 0.4 and -0.9958.
-0.39832
Multiply -23804 and 0.2.
-4760.8
What is 23.4 times -5.3?
-124.02
Product of 2 and 129.293.
258.586
What is the product of 9 and 110774?
996966
Work out 4 * -9321.
-37284
1621473*0.2
324294.6
Work out 176908 * -5.
-884540
185 times 23
4255
-9.8 * -44.2
433.16
Work out 0.3 * 1.0817.
0.32451
-8085*2.91
-23527.35
Multiply -1378 and 3.4.
-4685.2
Multiply 1.5 and 13.19.
19.785
1099 times -0.5
-549.5
0.046 * 158
7.268
-1626.4 * 5
-8132
Multiply 25.9 and 1.66.
42.994
98.99 times 17
1682.83
Product of 2 and 50792.
101584
What is 3473 times 0.74?
2570.02
What is the product of -0.075 and -5.1?
0.3825
-3239 * -52
168428
-3184 * -0.07
222.88
What is 0.3 times -63554?
-19066.2
Calculate -0.1716*12.
-2.0592
What is the product of -13855 and 3?
-41565
Product of 0.4 and -313.
-125.2
-2529 * -15
37935
Calculate -119*-7825.
931175
Work out -0.3 * -10540.
3162
Work out 1678.7 * 0.3.
503.61
0.23229 times 2
0.46458
What is 0 times -868.1?
0
Work out 3 * 438.
1314
-54.9*-599.1
32890.59
Calculate -6*-42.3487.
254.0922
Multiply 155665 and -10.
-1556650
What is -3 times -996.87?
2990.61
Multiply 1.4 and 4.75524.
6.657336
Multiply -97.54 and 2.
-195.08
120227 * -0.2
-24045.4
-107037*-0.1
10703.7
Multiply -206 and 1.
-206
What is 6 times 9248?
55488
Multiply -1.4482 and -1.8.
2.60676
What is the product of 400 and -16.71?
-6684
Product of -0.0709 and -0.55.
0.038995
-0.9*-589.9
530.91
Calculate 1.19555*-4.
-4.7822
-0.5*-991.4
495.7
Work out 0.1387 * -0.155.
-0.0214985
Calculate -9*-8840.
79560
-1915 times 1.4
-2681
-0.023212 * -54
1.253448
Product of 0 and 16822.
0
0.503 * -569.2
-286.3076
What is 3538 times -101.4?
-358753.2
Calculate 24*-10238.
-245712
49282*-0.3
-14784.6
Multiply 4 and 153.53.
614.12
-15*512
-7680
What is the product of 1562943 and -2?
-3125886
Work out -4 * -1.0205.
4.082
Multiply -12709.4 and -0.5.
6354.7
What is -24801 times -0.2?
4960.2
-0.1382 times -0.01664
0.002299648
-1682*-1375
2312750
Product of -2 and 758.5.
-1517
-20.0584 * -0.3
6.01752
Work out -27 * -0.0437.
1.1799
-0.12142 times 0.2
-0.024284
0 * -2050
0
Multiply -0.2802 and 16.
-4.4832
Product of 2 and 18.546.
37.092
1.84 times -71
-130.64
What is the product of -998.55 and -2?
1997.1
What is the product of 1567365 and 0.1?
156736.5
1137.3 * 0.2
227.46
-299 * -8774
2623426
What is the product of -0.052379 and 3?
-0.157137
-47.14*318
-14990.52
Multiply -9 and -0.4526.
4.0734
Work out 11.7 * -220.
-2574
2.02 * 22
44.44
Product of -6.7 and 2751.
-18431.7
3 times -426.26
-1278.78
4.79 times 0.21
1.0059
Work out 171 * -0.1383.
-23.6493
Work out -0.14 * -0.098.
0.01372
Product of 133118 and -23.
-3061714
What is the product of -31567 and 2?
-63134
1 * 748.5
748.5
-0.02 times 0.034143
-0.00068286
-132303 * 0.3
-39690.9
Work out 11 * 0.0626555.
0.6892105
Product of 25068 and 22.
551496
-3 * 30382
-91146
0.04 * -2091
-83.64
Calculate -0.9738*-14.
13.6332
21.5406 * -0.5
-10.7703
What is the product of 0.3 and -317.4?
-95.22
591245 * -0.1
-59124.5
Product of 50 and -639.
-31950
What is -0.019 times -127?
2.413
-8665025 * 0.1
-866502.5
What is 117 times 94?
10998
Calculate -2084.3*3.
-6252.9
-1665*-17.3
28804.5
Product of -0.2 and -133318.
26663.6
-1.4934*-2.79
4.166586
Calculate 0.032931*-4.
-0.131724
Calculate -8979*-13.
116727
What is 1.73 times 4.75?
8.2175
-0.5 * -102317
51158.5
What is -0.4 times 38226.1?
-15290.44
Product of 421 and 1.016.
427.736
8357 * -3
-25071
Calculate 17.29*0.48.
8.2992
-45388*-5
226940
Work out -32160 * 0.05.
-1608
-0.00496 * 43
-0.21328
Calculate -1*-1.7914.
1.7914
0.8 times -613
-490.4
-23*-0.396
9.108
113 times 14220
1606860
1 * 121258
121258
Product of -1866816 and -0.3.
560044.8
-2 * -9.07038
18.14076
0.01*-1578.34
-15.7834
Product of -729 and 221.
-161109
-0.3*19796
-5938.8
Product of -225 and 0.
0
What is the product of 6 and -45359?
-272154
What is the product of -1986 and -0.241?
478.626
-3270 * -280
915600
Calculate 48*737.
35376
Calculate -188*2062.
-387656
What is -449432 times 1?
-449432
0.598*-52
-31.096
-4758 * -0.9
4282.2
-1244*-13
16172
Multiply 148 and 105.5.
15614
-2.8738*-0.19
0.546022
Calculate -2708*0.216.
-584.928
Work out 316.829 * -0.4.
-126.7316
Multiply -0.0694622 and -3.
0.2083866
Product of 2.08031 and 4.
8.32124
-103545*-1
103545
Calculate -1*40521.
-40521
205977*-2
-411954
What is -244 times 6.377?
-1555.988
6042*-0.2
-1208.4
Calculate -467526*0.1.
-46752.6
What is -0.064 times 4.105?
-0.26272
Multiply -9.7945 and 5.
-48.9725
-7984.25 * -0.2
1596.85
What is the product of 1.39 and -18.2?
-25.298
What is 168 times -0.74?
-124.32
Multiply -100231 and -0.1.
10023.1
548.27*-5
-2741.35
Product of 2 and -7.115.
-14.23
Product of 5.6 and -1651.
-9245.6
Calculate -5*-132340.
661700
What is -15 times 2042?
-30630
Work out 0.5 * -46407.
-23203.5
Multiply -23149 and -40.
925960
What is 0.2 times 35.54?
7.108
231064.3*-0.2
-46212.86
Product of 3 and 22037.
66111
26734 * 0
0
Multiply -2.88 and 30.
-86.4
Work out -0.3 * -975.
292.5
What is -76 times -4893?
371868
Calculate 0.036848*0.4.
0.0147392
What is -4331 times 2.5?
-10827.5
-1.55686*0.9
-1.401174
What is 1164 times -96?
-111744
Calculate -0.5552*0.01.
-0.005552
What is the product of -563585 and -0.05?
28179.25
-20851 times 13
-271063
Multiply -0.3 and 101.4872.
-30.44616
What is the product of -427 and -140.7?
60078.9
Work out -0.04 * -4505.
180.2
Calculate 1659492*-4.
-6637968
Product of 515.6 and -1.
-515.6
What is the product of -169 and 850?
-143650
What is the product of 47 and 3.4?
159.8
Multiply -0.25 and 1467.
-366.75
What is -1515 times 3.9?
-5908.5
What is 0.2 times 220.418?
44.0836
-11996*-11
131956
-4 * 0.464999
-1.859996
Calculate 10961*0.3.
3288.3
Calculate -0.09*969.61.
-87.2649
10.3*1401
14430.3
What is the product of 3.9 and 29851?
116418.9
1228.57 times -1.3
-1597.141
-490.809 * -0.4
196.3236
What is 6661 times -80?
-532880
145.945 times 0.5
72.9725
0.3*28860
8658
Product of 137681 and -0.2.
-27536.2
What is the product of -333.4 and 1127?
-375741.8
0.4*4103
1641.2
Multiply -10273.2 and -0.1.
1027.32
0.2 times -418.27
-83.654
Work out 10.3 * 1893.
19497.9
What is the product of -100 and 2948?
-294800
2.9 times -64.578
-187.2762
Multiply -2740 and 0.032.
-87.68
Work out 48 * 3.6493.
175.1664
3307.85 times 0.3
992.355
0 * -5.049
0
0.14*3324
465.36
-5 * -6835
34175
Multiply -2.42 and -39.
94.38
Multiply -20.2 and -149.
3009.8
0.08691 * -0.5
-0.043455
What is the product of 1.51 and 2.11?
3.1861
-216.2*55
-11891
What is the product of -532905 and -0.7?
373033.5
What is 24 times 6.81?
163.44
5 times 0.02594
0.1297
0.15 * 897
134.55
Work out 790 * 4.3.
3397
What is the product of 0.21756 and 0.8?
0.174048
Work out -3.5 * -101416.
354956
8*7533
60264
Multiply 3846 and 579.
2226834
Calculate 0.31*-15678.
-4860.18
What is 0.3 times -5257.58?
-1577.274
-4.4*-17395
76538
What is the product of 1.6 and -13.2309?
-21.16944
0.02 times 31.7249
0.634498
-0.39*-4481
1747.59
-2435 * 5
-12175
What is 37.053 times -18?
-666.954
Multiply -3170.51 and 2.
-6341.02
78 times -0.06
-4.68
15.3233*0
0
-34.07*2
-68.14
-194 times -18
3492
What is the product of 0.3 and 588857?
176657.1
Multiply 3738 and 2.8.
10466.4
Calculate 0.735*8.63.
6.34305
Calculate 0.05*44123.
2206.15
-2740.7 times -61
167182.7
-3.29 * -299
983.71
Product of -19 and 1194.
-22686
Work out -0.2 * 372873.
-74574.6
Calculate -0.07*-0.0531464.
0.003720248
Work out 2 * -775489.
-1550978
Multiply -0.4 and -89541.
35816.4
Product of -4487 and -1.5.
6730.5
What is 0 times -3526?
0
Multiply 0.039 and -241.
-9.399
8.793 times -15
-131.895
305142*0.4
122056.8
What is the product of -19.688 and -0.1?
1.9688
86.49 * 0.2
17.298
Multiply 0.2248 and 1872.
420.8256
Calculate -0.5*-6942.
3471
Multiply -52798 and -0.03.
1583.94
What is 4 times -57899?
-231596
3 * 13050
39150
Multiply -42474 and -2.
84948
Calculate -42.1*-34.
1431.4
What is 1 times -172.4082?
-172.4082
Multiply 1 and 99910.
99910
-4 times -5566
22264
What is -0.2 times -0.006791?
0.0013582
Calculate -5.6981*0.12.
-0.683772
What is 2391.5 times -4.6?
-11000.9
W
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{
"pile_set_name": "DM Mathematics"
}
|
65*u - 197*u + 2 - u + 0*u + 0*u + 4*u - 4*u + u + (0*u + 3*u - u)*(-2 + 1 + 0) + 0 + 0 - u.
-224*u + 2
Expand (x + 3*x - 3*x)*(-4 + 1 - 2) + (0*x - x + 2*x)*(-2 + 4 + 0).
-3*x
Expand (-3*o + 2*o + 0*o)*(1 - 2 - 3).
4*o
Expand (0*b**2 - 3*b**2 + 2*b**2)*(-4 + 4 + 2*b**3) - b**5 + 3*b**5 - 4*b**5 + 12*b**4 + 7*b**5 - 12*b**4.
3*b**5
Expand (-2 + 2 - 2 - 74*j**2)*(-1 + 4 - 5).
148*j**2 + 4
Expand (-2*p**2 + p**2 - p**2)*(p**2 - p**2 + 2*p**2) - p - 2 + 2 + p**4.
-3*p**4 - p
Expand (2 + t**2 - 3 + t + 0*t**2)*(-9*t + 8*t + 5*t).
4*t**3 + 4*t**2 - 4*t
Expand ((-3*k + 3*k + k)*(-3 + 5 + 0) + k + 3*k - 3*k + 0*k + 2*k - 4*k + 0*k - k + 2*k + 1 - 1 - k - 5*k - k - 8*k)*(2*k**2 - k**2 + 2*k + 0*k).
-13*k**3 - 26*k**2
Expand (-7 + 0 - 1)*(3*s + 4*s - 4*s).
-24*s
Expand 2*i - 3*i + 0*i - i - 3*i + 2*i + (3*i + 2*i - 3*i)*(-4 + 4 - 1) + (5 - 4 - 2)*(-7*i + 2*i - i).
i
Expand (-2 + b + 2)*(5*b + 4*b - b).
8*b**2
Expand 0*u**4 - 7*u**4 + 0*u**4 + 0*u**4 - 2*u**4 + 3*u**4 + (-3*u + 0*u + u)*(-3*u**3 + 4*u**3 - 2*u**3) - 4*u + 4*u + u**4 + 2*u**4 - u**4 + u**4.
-u**4
Expand 2*r**3 - 2*r**2 + 2*r**2 + (-6*r**2 - 110*r + 110*r)*(-5*r + r + 3*r).
8*r**3
Expand b**5 - 2*b**5 - 3*b**5 - b**2 + b**2 - 2*b**5 + (-2*b**3 - b**3 + 0*b**3)*(-3*b**2 + 5*b**2 - b**2).
-9*b**5
Expand 10*p + 21*p - 12*p + (p + p - p)*(-5 + 1 + 2) - 2*p + 3*p + 0*p.
18*p
Expand (0*t + 2*t + 0*t)*(2 - 1 + 0)*(-2*t - 6*t - 2*t).
-20*t**2
Expand (3*g - 4*g - 2*g)*(2*g**4 + 0*g**4 - 3*g**4) - 15*g**5 + 9*g**5 - 6*g**5.
-9*g**5
Expand (-2*b - b + 4*b)*(2*b - 1 + 1) + b**2 - 3*b**2 + b**2 - 6*b**2 - 5*b**2 + 5*b**2.
-5*b**2
Expand 8*v**5 + 4*v**3 + 0*v**5 + 1 - 3*v**3 + v**5 - 3*v**4 + 3*v**4 + (v - v + 2*v**2)*(2*v**3 - 3*v**3 + 2*v**3).
11*v**5 + v**3 + 1
Expand (-3*a**2 + 6*a**2 - a**2)*(0 + 0 + a**3) + (-3 + 4 - 2)*(-5*a**5 + 7*a**3 - 7*a**3).
7*a**5
Expand 10*y + y - y + (1 + 5 - 5)*(0*y - 2*y + y).
9*y
Expand -x**2 + x**3 + x**2 + (-4 + 2 + 3)*(-x**3 + 4*x**3 - 4*x**3) - x**3 - 1 + 1 - 4*x**3 + 16*x**3 + 16*x**3.
27*x**3
Expand (-3 + 3 + z)*(1 - 1 + 3).
3*z
Expand (-2 - 3 + 0)*(3*p**2 - p**2 + 0*p**2)*(-4*p**3 + 0*p**3 + 0*p**3) - 2*p**5 + 5*p**5 - 2*p**5 - 3*p**5 + p**5 + 3*p**5.
42*p**5
Expand -2*a**3 + 3*a**3 + 4*a**3 - 5*a**3 - a**3 + 5*a**3 + (-a - 2*a + 2*a)*(-a**2 + 2 - 2) + 0*a + 0*a + 2*a**3.
7*a**3
Expand 3 - 2*r**3 - 3 + 1 - r**3 - 3 + 1 + (5*r - 2*r - 2*r)*(3*r**2 + 0*r**2 - 4*r**2).
-4*r**3 - 1
Expand (-16*o**5 + 34*o**5 - 3*o**5)*(4 - 4 - 1).
-15*o**5
Expand (2 + 2*t**2 - 2)*(-2 - 3 + 1) + 2*t**2 - 4*t**2 + 3*t**2 - t**2 - 2*t**2 + t**2 + (-t + t - t)*(4 - 4 + t) + 0*t - t**2 + 0*t - 5*t**2 - t**2 + 5*t**2.
-12*t**2
Expand -2 + 2*h**2 + 2 + 2*h**2 + h - h + (3*h - 4*h + 2*h)*(-4*h + 2*h + h) + 3*h**2 - 3*h**2 + 2*h**2 + 0 + 0 + 5*h**2.
10*h**2
Expand 2*x**4 - x**4 - 3*x**4 + (-3*x - x + 5*x)*(3 - x**3 - 3) + (5*x - 5*x + 4*x**2)*(-7*x - 5*x**2 + 7*x) - 3*x**4 + 0*x**4 + x**4.
-25*x**4
Expand (g + 4*g + 14*g)*(-g + 0*g + 2*g).
19*g**2
Expand -3*j - 2*j + 4*j + (-2*j + 4*j + j)*(-3 + 6 - 2).
2*j
Expand (-7*b**2 + 12*b**2 + 14*b**2)*(-1 + 0 - 1).
-38*b**2
Expand (-2 - m + 2)*(4*m**2 - m**2 - 6*m**2)*(3 - 3 - 1).
-3*m**3
Expand (-2*b + 1 - 1)*(-10*b + 3 + 0*b + 8*b).
4*b**2 - 6*b
Expand (-v**2 - 2*v**2 + v**2 + (v - v - v)*(-2*v + 3*v + v) + 4*v**2 - 2*v**2 + 5*v**2)*(v + 3*v - 5*v)*(5*v - 3*v - 4*v).
6*v**4
Expand -d**2 + d**3 + d**2 + (-2*d - 4 + d + 3)*(-3*d**2 - d**2 + 3*d**2).
2*d**3 + d**2
Expand (-o**4 + 2*o**4 + o**4)*(-7*o + o + 3*o) + 3 + 2*o**5 - 3.
-4*o**5
Expand -2*m**4 + 0*m**4 + 4*m**4 + (2*m + 4*m - 3*m)*(0*m**3 + m**3 + 0*m**3).
5*m**4
Expand (186 + 196 - 300)*(-5*x + x + 2*x).
-164*x
Expand (-4*i + 2*i + 3*i)*(0 + 0 - i) - i**2 - 2*i**2 + i**2 + 0 + 2*i**2 + 0.
-i**2
Expand (-1 - 3 - 6)*(-r**3 + 5*r**3 - 2*r**3).
-20*r**3
Expand (0 + 0 - x)*(2*x + 0*x - x)*(-6 - 2*x + 6).
2*x**3
Expand (5*d**3 - 4*d**3 + 0*d**3)*((-2 + 6 - 2)*(-2*d + 0*d - 7*d) - 3*d + d + 0*d).
-20*d**4
Expand (-2*c + 2*c + c**3)*(-35*c + 12*c + 13*c).
-10*c**4
Expand (0 + 2 - 1 + (-1 + 1 - 1)*(-1 - 1 + 0) + 4 - 2 - 4 - 14 - 15 + 17)*(-2 + x + 2).
-11*x
Expand (-3*y + 0*y + 5*y)*(y**2 - 4*y**2 + y**2) + 2*y**3 + 6 - 6.
-2*y**3
Expand (-3*g + g + 4*g)*(-8 + 6*g**2 + 8).
12*g**3
Expand (0 - 3 + 7)*(4*w + 2 + 0 - 3).
16*w - 4
Expand (-4*q**4 + 4*q**4 + 2*q**4)*(4 - 2 - 4) - 3*q**3 - 2*q**4 + 3*q**3 + 21 - 21 + 15*q**4.
9*q**4
Expand f**4 - 3*f**5 - f**4 + (f**2 - 2*f**2 + 3*f**2)*(3 - 1 - 3)*(-f**3 + f**3 + 2*f**3).
-7*f**5
Expand (0*u**3 - u**3 + 5*u**3 + (-u**2 - 2*u**2 + 2*u**2)*(-u + u - u))*(-5 - 3 - 3)*(2 - 2 - u).
55*u**4
Expand (6*i - i + 3*i + 3 + i - 3 + (2*i + 2*i - 2*i)*(-3 + 4 - 2) - 4*i + 0*i + 3*i + 0*i - 3*i + i + 2*i + 2*i - 3*i)*(0*i**2 + 2*i**3 + 0*i**2).
10*i**4
Expand -3*w**2 + 0*w + w**2 - 2*w + 3*w**2 + 0*w**2 - w**2 + (0*w + 0*w + 2*w)*(3*w + 1 - 1).
6*w**2 - 2*w
Expand 4 + u + 0*u - 5 + 7*u - 4*u + u + (-u + 1 - 1)*(-4 + 2 + 4).
3*u - 1
Expand -s**4 - 2*s**4 + 2*s**4 + (10*s**2 - s + s)*(4*s - 4*s - 2*s**2).
-21*s**4
Expand (1 - 1 - j**3 - j)*(2 - j + 3*j - 7*j).
5*j**4 - 2*j**3 + 5*j**2 - 2*j
Expand (0 + 3 - 2)*(0 - 1 - 1)*(-45*q**2 + 21*q**2 + 16*q**2)*(q + q + 0*q).
32*q**3
Expand -5*u**2 - 2*u**4 + 5*u**2 - 2*u**4 + 5*u**4 - 2*u**4 + (4 + 2*u**2 - 4)*(2*u**2 - 3*u**2 + 2*u**2) + u - u - 2*u**4 + (0*u + 0*u - 2*u)*(-5 + u**3 + 5).
-3*u**4
Expand (0 + 0 - 1)*(1 - 2 + 2)*(-5*c**4 + 5*c**4 + 4*c**4).
-4*c**4
Expand (-k**2 + k**2 - k**3)*(-14*k - 25*k + 51*k).
-12*k**4
Expand (3*w - 3*w - 2*w)*(2 + 0 - 1)*(w - w + w)*(23*w**3 - 18*w**3 + 18*w**3)*(-1 - 1 + 0).
92*w**5
Expand (t - t + t)*(5 - 1 - 3) - t + 4*t - 2*t + t + 5 - 5 + (4*t + 0*t - 3*t)*(-2 + 2 + 1) + 3*t - 3 + 3 - 3*t + t + 3*t.
8*t
Expand -c**2 - 2 + 2 + (2*c + c + 2*c + (c - c - 2*c)*(1 + 3 - 2))*(2*c + c - 4*c).
-2*c**2
Expand -11*n + 6*n - 6*n + (-4 + 5 + 1)*(-n + 3*n - n).
-9*n
Expand (7*a**4 + 3*a**3 + a**3 - 3*a**3)*((0 + 0 - 2)*(1 + 1 - 4) + 3 + 2 - 3).
42*a**4 + 6*a**3
Expand (-2*v + 3*v - 3*v)*(-1 + 4 - 2) + (-4*v + 3*v + 3*v)*(4 + 1 - 2).
4*v
Expand (4 - x**2 - 4)*(-6*x**2 + 14 - 14 + (-4 + 2 + 3)*(1 - 1 - 2*x**2)).
8*x**4
Expand (-2*g**2 - 7*g + g - 2*g)*(-g**2 + 4*g**2 + 0*g**2).
-6*g**4 - 24*g**3
Expand (0 - 1 + 0)*(-4 + 4 - 6*z)*(4 + 1 - 3)*(2*z**2 + z**2 - 2*z**2).
12*z**3
Expand 2*l**3 + 0*l + 0*l + (-2*l + 0*l + 4*l)*(-3*l**2 + l**2 - 7*l**2).
-16*l**3
Expand (-2*z + z + 3*z)*(1 + 1 + 2*z + 0).
4*z**2 + 4*z
Expand (l - l + 3*l**4)*(3 - 4 - 2) + 5*l**4 + 0*l**4 - 2*l**4 + 1 + l**4 - 1.
-5*l**4
Expand (-1 + 1 + 2*b)*(0 + 0 - 3)*(1 + 2*b**2 - 1 - 3*b**3).
18*b**4 - 12*b**3
Expand 2*b**2 + 4*b - 4*b + (-2 + 2 - 2*b)*(0*b + 6*b + 3*b) - 3*b**2 + 2*b**2 + 0*b**2.
-17*b**2
Expand 4*u - 5*u + u**3 - 4*u**3 + (-u + 5*u - 2*u)*(2*u**2 - 3*u**2 - u**2) - u**3 + 2*u**3 + u**3.
-5*u**3 - u
Expand (-1 - 5 + 3)*(-v - 4*v + 2*v).
9*v
Expand (1 + 0 + 4)*(3 - 3 + 2*q).
10*q
Expand (-7*u + 3*u + 3*u)*(1 + 2*u - 1)*(46*u - 15*u + 15*u).
-92*u**3
Expand (2*o - 5*o + 0*o - 2*o**3)*(3*o**2 - 2*o**2 + 2*o**2).
-6*o**5 - 9*o**3
Expand (9*v**2 + v**2 + 3*v**2)*(3*v**2 - 2*v**2 - 9*v**2).
-104*v**4
Expand 2 + 2*r - 2 + r + r + 0*r - 1 + 2*r - 1 + 1 + 0*r - 2*r + 3*r + 0*r + r - 2*r + (2 + 2 - 5)*(-2*r + r + 2*r).
5*r - 1
Expand (-2 - 2 + 3)*(v**2 + 0*v**2 - 2*v**2)*(-6*v**2 - 4*v**2 - 2*v**2).
-12*v**4
Expand -f - f**2 - 2 + 2 + (-5 + 1 + 2)*(-2*f**2 + 2*f**2 - 2*f**2).
3*f**2 - f
Expand (-w - 2*w**2 + w + (-w - 3*w + 2*w)*(0 - 2*w + 0) + w**2 - 3 + 3)*(-71*w + 23*w**2 + 71*w).
69*w**4
Expand (0 + 0 + 2*d)*(0 + 4 - 5)*(4 + 3 - 3 - 3 + 1 + 1 + (6 - 4 + 0)*(1 - 1 + 2) - 2 + 2 - 2).
-10*d
Expand (-7 + 20 - 4)*(c - 5 + 5) - 1 + c + 1.
10*c
Expand 4 - 4 - 3*d**4 - 5*d**4 + 2*d**4 + 2*d**4 + (-3*d**4 + 3*d**4 + 2*d**4)*(-4 + 2 + 1).
-6*d**4
Expand (-4 + 4 - 2*b)*(2 + 2 - 5).
2*b
Expand 0*u + 2*u + 0*u + (0 - 4 + 2)*(2*u - u - 2*u) + 3*u - 3*u + 3*u + 1 - 1 + 3*u.
10*u
Expand 0*w**5 - w**5 + 3*w**5 + (-w**2 + w**2 + w**4)*(853 - 18*w - 853).
-16*w**5
Expand (-4*c**2 - 39 + 39)*(2 - 3*c - 2 + (1 + 1 - 3)*(0 + 0 - c) - 2*c + 3 - 3).
16*c**3
Expand (-2*y + 4*y - y + (5 + 2*y - 5)*(0 + 2 - 1))*(0*y - y - y).
-6*y**2
Expand (j - 1 + 1 + (-2 - 2 + 2)*(0 + 0 + 2*j) - 3*j + 3*j - j)*(-6 - 37*j - 35*j + 64*j).
32*j**2 + 24*j
Expand (
|
{
"pile_set_name": "DM Mathematics"
}
|
37.1 + 37. Sort f, -0.2, 1/2, 2/13 in ascending order.
-0.2, f, 2/13, 1/2
Let d = 1.3 + -1.44. Sort 0.2, d, 3 in descending order.
3, 0.2, d
Suppose 16 = 4*j + 4. Sort -6, j, 2 in descending order.
j, 2, -6
Let m = -7 + 6. Suppose -9 = 5*c - 2*c. Suppose f - 12 = -2*b + 1, 0 = f - 5. Put b, m, c in descending order.
b, m, c
Let b = -49/8 - -6. Let x = 0.18 - -7.82. Let n = -6 + x. Sort b, n, 0.4 in decreasing order.
n, 0.4, b
Let f(j) = -j**3 - 9*j**2 - 9. Let h be f(-9). Sort -1, 5, h.
h, -1, 5
Let u = 15 + -11. Let b be -2 + 1 - (u + -7). Put -4, b, 4 in ascending order.
-4, b, 4
Suppose -3*k = 2*v + 3*v - 228, 4*k = -3*v + 139. Let r be 2/(-8)*(-24)/v. Put 5, 2, r in descending order.
5, 2, r
Let s = 5 - 1. Let u = -33.1 - -33. Sort s, u, -3/5 in ascending order.
-3/5, u, s
Let b be (-2 + (2 - 1))*-19. Let t = 2 + 3. Suppose t*l = b - 4. Sort l, 4, -5 in descending order.
4, l, -5
Let g be (-6)/(-21) + 1556/(-840). Let p = 1/15 + g. Put p, 0, 2/9 in decreasing order.
2/9, 0, p
Let n(v) = v**2 + 8*v + 12. Let d be n(-5). Put 2, d, 0 in descending order.
2, 0, d
Let t(v) = -v**3 + 12*v**2 + v - 1. Let b be t(12). Sort 0, b, 2 in decreasing order.
b, 2, 0
Suppose -4*p - q = -6*p - 6, 0 = -4*p - q - 6. Sort 1, -5, p.
-5, p, 1
Suppose 5*a + 6 = 2*o, -o + 2*o + 2*a - 3 = 0. Suppose i - o + 0 = -2*u, 0 = 2*i + u + 3. Sort 0, i, -1 in decreasing order.
0, -1, i
Let u be -3 - (5 + (-3 - 1)). Sort -7, -1, u in descending order.
-1, u, -7
Let p = 1 + -0.7. Let k = 0 - p. Let u = -4/9 - -10/9. Sort 1/4, u, k in ascending order.
k, 1/4, u
Let c = 3217883/13442 + -6225/26. Let m = c + -7/47. Let a = 0.26 - 0.06. Sort a, -0.1, m in descending order.
a, -0.1, m
Let n = -180 - -207. Put n, -4, -2/9 in increasing order.
-4, -2/9, n
Let i = -2.2 + 2. Let x = 4.02 + -0.02. Let l = -12 - -11.6. Sort i, l, x in descending order.
x, i, l
Suppose 4*i + 3 = -1. Let g = -0.13 - -5.23. Let w = 5 - g. Put -1/3, w, i in decreasing order.
w, -1/3, i
Let n(y) = -y**2 + 8*y + 13. Let a be n(9). Let u = -26 - -25. Sort a, 2, u in decreasing order.
a, 2, u
Suppose 0 = 4*g - 95 + 75. Let o = -0.39 + -0.01. Sort o, g, -0.5 in descending order.
g, o, -0.5
Let i = -11 - -7. Let n be 4/(-6) - 16/12. Sort n, 2, i in increasing order.
i, n, 2
Let u = 1.68 + -1.48. Sort 2, -2, -7, u in ascending order.
-7, -2, u, 2
Let j = 7 - 2. Let q(v) = -v**3 - 6*v**2 - 6*v - 6. Let s be q(-5). Sort 0, j, s in descending order.
j, 0, s
Suppose -3*a + 9 = -0. Let h = -32 + 29. Sort -5, a, h.
-5, h, a
Let y = 126/5 - 26. Let f = 3.6 - 4. Sort -2/13, y, f in descending order.
-2/13, f, y
Let x(m) = -m**2 - 4*m + 1. Let c be x(-5). Let u(n) = n. Let z be u(0). Let q = z + 0. Put 2, q, c in ascending order.
c, q, 2
Suppose 0 = 13*f - 8*f. Suppose -3 = -2*n + 5*n + 4*o, 2*n - 3*o + 2 = 0. Sort n, f, -2.
-2, n, f
Suppose 0 = 5*n - 20, -n - 2 = 5*j + 9. Let y(f) = f - 2. Let a be y(2). Sort a, j, 2 in ascending order.
j, a, 2
Let v = 0.24 - -0.76. Let f = v + -2.4. Sort -4, f, -5 in descending order.
f, -4, -5
Suppose -b + 9 = 3*r, 2*b - r = -5 - 5. Put 4, 2, b in decreasing order.
4, 2, b
Suppose 12 = 14*h - 10*h. Sort 2, h, 20.
2, h, 20
Let x = 0.9 - -0.1. Let h = 2.1 - 1.7. Sort 5, h, x in descending order.
5, x, h
Suppose 0 = -3*u - u + 12. Suppose -3*s + 10 = -4*y - 0*s, -y - u = -s. Sort -3/4, 5, y in decreasing order.
5, -3/4, y
Let u = -3 - -2. Put 0.1, u, 1/8 in descending order.
1/8, 0.1, u
Let g = -11 - -10.5. Sort -4, g, 2 in increasing order.
-4, g, 2
Let f = -1.06 - -0.06. Let t = -0.6 - f. Let d = 1.7 + 1.3. Sort 0, d, t.
0, t, d
Suppose -3 - 3 = 3*m. Let s(o) = 5*o + 5. Let t be s(m). Let r be (-34)/8 + (-2)/(-8). Put 4, t, r in decreasing order.
4, r, t
Let o(i) = -i**2 - 19*i + 18. Let p be o(-20). Sort p, 2, 4, -1.
p, -1, 2, 4
Let r = -13/22 - -12/11. Let s = 1.1 + -0.5. Let q = s + -0.2. Put q, r, -2 in descending order.
r, q, -2
Let k be 1*(-69)/21 + (-3)/(-1). Let r = -0.2 - -0.1. Sort -1/3, k, r in decreasing order.
r, k, -1/3
Let f be (3 - (-91)/(-28)) + 6/(-8). Suppose 3*i + 2 = 5*a, -23 = a + 5*i - 1. Sort a, f, 4 in decreasing order.
4, f, a
Suppose 3 - 28 = -5*j, 5*a + 5*j = 35. Let m = -5 + 2. Sort 4, m, a in decreasing order.
4, a, m
Let k be (-23)/7 + 2/7. Let l = 5 - 4.92. Let s = -0.38 + l. Sort k, s, -1/4 in descending order.
-1/4, s, k
Let l(d) = 4*d**2 + 2*d + 2. Let k be l(-1). Put 3, k, -4 in descending order.
k, 3, -4
Suppose -2*d + 30 = -d. Suppose -4*k + d = -5*b, 2*b - 5*k + 19 = 5*b. Sort b, -3, 1 in ascending order.
-3, b, 1
Let p = -27 + 29. Sort 0.4, p, 1/3.
1/3, 0.4, p
Suppose -2*k + 15 = -6*k + 5*d, -3 = -d. Let g = -7 - -10. Put g, k, -1 in decreasing order.
g, k, -1
Let b(p) = -6*p**3 + 2*p**2 - 2*p + 1. Let w be b(1). Suppose 5*x - 19 + 4 = 0. Sort w, x, -3 in descending order.
x, -3, w
Let r be 1/1*1/1. Let k(x) = x - 1. Let p be k(-6). Let b = p + 7. Sort -2, b, r in ascending order.
-2, b, r
Let s = 67/6 - 11. Let t = -0.3 + -0.7. Sort -2, t, s in descending order.
s, t, -2
Let g = -11.9 - -12.3. Sort -0.2, 5, -2/23, g in decreasing order.
5, g, -2/23, -0.2
Suppose 0*o = -4*o - b - 15, 4*b + 6 = 2*o. Let q = 16 - 30. Let s be q/(-4) - 4/(-8). Sort o, s, 1.
o, 1, s
Let w be (-5)/2*(1 + 1). Suppose 0 = 4*v + 2*c - 7*c - 5, -c - 1 = -v. Suppose -5*o + 2*b + 7 = -7, v = -4*o + 3*b + 14. Put w, o, 3 in decreasing order.
3, o, w
Suppose -4*c + 6*c = 8. Let p = c - 4. Let t(i) = i**3 - 6*i**2 - i + 5. Let q be t(6). Sort p, -5, q.
-5, q, p
Let z = 4 + 6. Let t = z + -3. Let j = t - 11. Sort -1, -0.2, j in decreasing order.
-0.2, -1, j
Let a = 3 + -2. Let o = 1.2 - a. Let y = 0 + o. Sort y, 0.4, 0.1.
0.1, y, 0.4
Let i = -2 + 3. Let a be 3 + i + -2 - -1. Sort -2, 4, a.
-2, a, 4
Suppose -5*c = 3*o - 17 - 5, 2*o - 3*c + 17 = 0. Sort 2, -4, 4, o in descending order.
4, 2, o, -4
Let h = -7.6 - -9. Let m = h + -1.1. Sort -0.5, m, 0.4 in descending order.
0.4, m, -0.5
Suppose 0 = p + 2*p - v + 14, 3*v = 3*p + 24. Put -5, p, 3 in descending order.
3, p, -5
Let g(z) = 77*z**2 + 3*z - 4. Let j be g(4). Let m be j/42 + 8/28. Let a = -89/3 + m. Sort 4/5, a, -2.
-2, a, 4/5
Let q = -0.1 - 0. Let h(a) = -4*a + 7. Let j be h(4). Let b(t) = -t - 5. Let i be b(j). Put i, q, 3/8 in descending order.
i, 3/8, q
Let f = 0 + 0.4. Let x = 33 + -18. Let s = -12 + x. Sort f, s, -0.4.
-0.4, f, s
Let k = 28 - 23. Let n = -1 - 0. Put k, 1, n in descending order.
k, 1, n
Let c = 15 - 18. Suppose -u + 3*u + 10 = 0. Sort 0, u, c.
u, c, 0
Let s = 0.44 - 5.74. Let g = s + 5. Put -1, g, 5 in increasing order.
-1, g, 5
Let t = -1 - 3. Let j = t + 3.8. Let u = 0 + 0. Sort j, 5, u in descending order.
5, u, j
Suppose -4*r - 2*w = 1 + 11, -2*w = 2*r + 2. Let v = -2 + 2. Sort -2, r, v.
r, -2, v
Suppose -3*z - z + 20 = 0. Let o = -44 + 47. Put -5, o, z in descending order.
z, o, -5
Let w = -23 + 24. Let r = 5 - 0. Suppose -2*a = 4*q + 6, -a - 3*a = 4*q + 12. Put r, w, a in descending order.
r, w, a
Let c(m) = 5*m**2 + 2*m + 1. Let i be c(-1). Let p(g) = -g + 1. Let u be p(-3). Let j be u/8 + 14/(-4). Put j, 0, i in increasing order.
j, 0, i
Suppose -5*q = 4 - 29. Let z be (1 - 19)/2 - 0. Let g be 10/(-45) + 16/z. Put g, -3, q in descending order.
q, g, -3
Suppose 3*z + 18 = 9. Let g = 11 - 16. Put z, g, 2 in decreasing order.
2, z, g
Let g = 12 - 8. Suppose -5*w = -c + 9, 4*c - 13 = g*w + 7. Put -5, -3, w in descending order.
w, -3, -5
Suppose -2*t - 28 = -4*t - 5*a, 2*a = t - 5. Let r = -9 + t. Sort -1, r, 4 in decreasing order.
4, r, -1
Let q(l) = l. Let g be q(-3). Let w = -26 - -27. Put g, -2/17, w in decreasing order.
w, -2/17, g
Suppose -2*z + z = 5. Let v = -2.2 + -0.8. Let k = 2.9 + v. Sort k, z, 4 in descending order.
4, k, z
Let c = 82 + -79. Let b(p) = p**3 + 3*p**2 - 2*p - 4. Let r be b(-3). Put r, c, 1 in descending order.
c, r, 1
Let f(s) = -s**2 - 21*s - 18. Let b be f(-20). Sort b, -4, 1, -5.
-5, -4, 1, b
Let v be 12/(-18) - (-1)/(-3). Put -4, v, 1 in increasing order.
-4, v, 1
Let g = -33/2 + 17. Let l(d) = 2*d**2 - 2*d - 2. Let i be l(2). Suppose -4*s + 19 = -b, 3 = -i*b + b. Sort s, -3, g in ascending order.
-3, g, s
Let a be ((-9)/(-18))/((-1)/6). Sort a, 5, -5 in ascending order.
-5, a, 5
Let u = 922/15 + -188/3. Let t = 49 - 48.7. Sort -0.07, u, t in decreasing order.
t,
|
{
"pile_set_name": "DM Mathematics"
}
|
-60))*-216. Are n and -5 equal?
False
Let s be -6 + 119054/(-19931) + 12. Which is greater: s or 1?
1
Suppose 0 = 188*i - 4*i + 552. Suppose -286 = -2*c - c + 2*z, 2 = 2*z. Which is smaller: i or c?
i
Let x(y) = 734*y - 30 + 8 - 729*y. Let k be x(5). Suppose 4*f + 11 - k = 0. Which is bigger: 1 or f?
1
Let c be (-398)/(-36) - (-9449)/(-859). Let r = 8.5 - -1.5. Which is greater: r or c?
r
Let s(m) = 18*m - 41. Let i be s(5). Let v = 77 - i. Let a be 24/v*14/3 - 4. Is a greater than -3?
True
Suppose 18*m - 361 = -37. Let l be 4 - m/5 - 126/(-10). Let r be 79/5 - 17/(-85). Is r bigger than l?
True
Let k = -435 - -435. Let j = -18697/16 - -1168. Which is smaller: j or k?
j
Suppose -4*b = -m + 72, 64*b + 18 = 63*b - 3*m. Suppose -3*f = -2*k + 61, -3*f - k - 47 = 4*k. Is b less than f?
False
Let k(n) = -n**3 - 18*n**2 - 8*n + 13. Let c(g) = g**3 + 17*g**2 + 10*g - 12. Let s(r) = 3*c(r) + 2*k(r). Let p be s(-14). Is p at most -10?
True
Let t be (-125932)/54 + 144/1944. Is -2334 at most as big as t?
True
Let x(j) = 15*j**3 - 3*j**2 - 2*j + 2. Let p be x(1). Suppose p*d + 4*b + 36 = 16*d, -2*b = 5*d - 31. Let t = 3/83 + 1897/332. Is d bigger than t?
True
Let m(u) = -2*u**3 - 14*u**2 - 38*u - 18. Let q be m(-10). Does q = 959?
False
Let j(u) = -2*u**3 + 39*u**2 + 42*u - 437. Let q be j(20). Let h = 11677/42 + -278. Which is smaller: q or h?
h
Suppose g - 499 = -0*g. Suppose 0 = -3*w + 4*i - g, 6*i - 3*i - 331 = 2*w. Is w less than -172?
True
Let q(k) = -3*k**2 - 45*k + 162. Let y be q(3). Is y at most as big as -27/172?
False
Suppose -65*g - 31322 - 144828 = 0. Which is smaller: g or -2712?
-2712
Let n = -26 + 9. Suppose 3*u - 7*u + 12 = 0. Suppose -3*d + 8*d = -5, 3*c - u*d = 6. Is n greater than c?
False
Let z be (-5)/(-2) - (-18)/(-132)*11. Is z bigger than -1/5390?
True
Let m = -50 + 4250. Is 4199 greater than or equal to m?
False
Let g = -66.5 + 63.5. Which is greater: g or 550?
550
Let d be ((-12)/8 + 4)*(-32)/(-40) - -85. Which is smaller: 441/5 or d?
d
Let s(j) = -165*j**2 - 27*j + 28. Suppose 0 = -3*u + 228 - 225. Let f be s(u). Which is greater: f or 0?
0
Let z be (-5546)/(-15)*12/(-8). Let f = 555 + z. Let a = 7 - 3. Is f greater than a?
False
Suppose -4*q + 16 = 0, -8*f + 5*q = -4*f - 512. Which is smaller: f or 142?
f
Let c(d) = d**3 + d**2 - 12*d - 12. Let s be c(-3). Let u = -30 - -11. Let l = -18.7 - u. Which is greater: s or l?
s
Let g(p) = 8*p - 85. Let z(c) = -3*c + 29. Let h(s) = -4*g(s) - 11*z(s). Let t be h(-20). Is t <= -170?
False
Let f = -61.4 + 4.4. Let q = f - -57.3. Is q != -29?
True
Suppose 4*y + 36 = 28. Let h be (y + 26/8)*(-30)/175. Suppose 2*a - 3*a + 3*d = 3, 5 = 4*a + 5*d. Are a and h equal?
False
Let x(p) be the third derivative of 7*p**4/24 + 22*p**3/3 - 5*p**2. Let c be x(-6). Which is smaller: c or 1/2?
1/2
Let l = -12367/4 - -3092. Is l greater than -0.0935?
True
Let u = -11363 + 11349. Let d be 20/(-15)*(-3)/(-2). Is u > d?
False
Let h = 1/33 + -106/231. Is h greater than 2/1227?
False
Let o be ((-29)/145)/((-1)/20) - 198. Which is smaller: -201 or o?
-201
Let x be ((12/64)/(-3))/((-19)/(-44)). Let m = x - -1135/228. Which is smaller: 4 or m?
4
Let k = -14286753/886 - -16125. Which is smaller: k or 1?
k
Let a be (-7)/9 - (-4)/(-18). Suppose m - 109 = -4*j, -4*j = m - 8*j - 101. Let h be 204/m - (-4 + 6). Is h greater than a?
True
Let y(i) be the second derivative of 5*i**4/12 - i**3/6 - i**2/2 - 2*i. Let c be y(-1). Suppose -2*p = -c*p + 18. Is p smaller than 7?
True
Suppose -3744 = 681*w + 6470523. Is -9507 greater than w?
False
Let g = -1035113441/80 + 12939575. Let l = -657 + g. Let h(b) = b**2 - 6*b + 6. Let d be h(5). Is l < d?
True
Let w = -3578 + 3624. Is -4/9 greater than or equal to w?
False
Let k(y) = -2*y**3 - 7*y + 3*y**2 + 3*y**3 + 2*y + 3. Let z be k(-4). Suppose -11*f + z*f - 16 = 0. Is f less than -5?
False
Suppose -576*c = -583*c + 6097. Which is greater: c or 875?
875
Let c(s) = -3*s**2 - 9*s + 4. Let j(g) = -14*g**2 - 38*g + 15. Let h(z) = -9*c(z) + 2*j(z). Let b be h(2). Are -7/92 and b unequal?
True
Let x(g) = -g**2 + 17*g - 59. Let c be x(6). Suppose -a - 3*o - 30 = 0, 4*a - 5*o = c*a + 106. Which is smaller: a or -44?
-44
Let c be 5 - 0 - (-3)/(0 - -3). Suppose 0 = -c*m + m + 10. Let d be (8 - m)/(0 - 1). Which is smaller: -7 or d?
-7
Let q = 8020 - 8015. Is q less than or equal to 44/7?
True
Let q = -95978644/1141 + 84118. Is -1 > q?
False
Let t(i) = -i + 14. Let r(k) = k**3 - 4*k**2 + 4*k - 6. Let a be r(4). Let n be t(a). Let o(u) = -2*u**2 + 10*u - 10. Let z be o(n). Which is greater: -7 or z?
z
Let g = -118.84 - -115.84. Does 233/4 = g?
False
Let k(z) = -4*z - 4. Let q be k(-3). Suppose -n + 0*v - 5*v = -1238, -4*v - q = 0. Let c be n/140 - 6/63*-3. Which is smaller: c or 9?
9
Let m(q) = -15*q - 27. Let b be m(-2). Let u(w) = w**3 - 4*w**2 - 7*w + 29. Let d be u(b). Is d <= 43?
True
Let i be (-14124)/84 - (-3 + -4). Let a = i - -160. Which is greater: -0.05 or a?
-0.05
Let t = -77.4 + 14.4. Let x = 67.7 + t. Let p = -5 + x. Is p greater than 3/10?
False
Let d be -1 + 1 - (4 - 0). Let h = -488044 - -488031. Is d at least as big as h?
True
Let a = 817 + -1481. Let p = a + 51125/77. Which is smaller: p or 1?
p
Suppose -30*p + 11*p = -16*p. Which is smaller: p or 15/334?
p
Let s(x) be the first derivative of 2*x**3/3 - x**2/2 - 3*x + 39. Let y be s(2). Suppose 4*z = -5*r + 88, -y*z + 7*z - 5*r = 88. Is 19 > z?
False
Let o = -3.2 + 3.098. Let g = o - -28.502. Let n = 29 - g. Is 0 != n?
True
Let n = -596 - -597. Is n not equal to -6.33?
True
Let m be 267 - (-102)/(-272)*16*1. Is 4 greater than or equal to m?
False
Let m = 154 + -191. Suppose 6 - 16 = -5*z. Let l be (6/z)/(2/(-24)). Which is smaller: l or m?
m
Let z be (-20)/25*50/(-3). Let t(w) be the third derivative of w**5/10 - 5*w**4/24 - w**3/6 - 7*w**2. Let h be t(2). Which is greater: z or h?
z
Suppose 4*q = 1 + 7. Suppose 120 = -q*t + 7*t. Suppose t - 6 = -6*n. Which is smaller: -7/4 or n?
n
Let t be -21 + (-3 - -5 - -1). Suppose s - 3*k + 11 = -13, 2*k = 6. Which is smaller: t or s?
t
Let v(d) = -35*d**3 + 2*d**2 + 3*d + 1. Let a = -146 + 145. Let g be v(a). Which is greater: g or 71/2?
71/2
Let g be 80/30*(-30)/(-8). Suppose -4*v = m + 5, 2*v - 2*m + 0*m = -g. Let q be v*(11/(-2) - 2). Is 14 at least as big as q?
False
Let h = -75 - -84. Let c be 1/(9/(-42)*6/h). Let g(r) = r**3 + 7*r**2 - 4. Let i be g(c). Are i and -21/4 equal?
False
Let u be 36/54 - ((-433)/12)/((-1)/2). Does -72 = u?
False
Let r = -0.32 - -0.17. Let u be (-52)/252 - (-6)/54. Is u <= r?
False
Suppose -5*b - 775 = 3*g, -42*b + 4*g = -47*b - 780. Which is smaller: -767/5 or b?
-767/5
Let s = 9033 + -9036. Which is greater: -25 or s?
s
Let n = -1.31 - -1.27. Let g = n - -0.14. Which is bigger: g or -18?
g
Let j = 13982 + -13982. Let o = 348 - 405418/1165. Which is bigger: o or j?
o
Let t be 14436/35990 + (-68)/170. Is 0 equal to t?
False
Suppose 0 = 19*w - 38*w + 21*w. Are -9/70 and w equal?
False
Let r(z) = z**2 - 30*z + 97. Let b be r(26). Which is greater: b or -26?
b
Let y(m) = 3*m**2 - 5*m + 60. Let j be y(7). Which is smaller: 140 or j?
140
Let w(x) = -2*x**2 - 5*x + 40. Let d be w(-5). Suppose -12*t + d*t = -3*s + 15, 3 = 3*s - t. Which is smaller: 19 or s?
s
Let x be 666/48 - 12/16. Let c = x - 509/40. Is c > -35?
True
Let u = -14471/1860 - -108/155. Is -8 greater than or equal to u?
False
Let m = 1.2273 - 3.7273. Is m <= 2/121?
True
Let i(j) = j**3 - 28*j**2 - 202*j - 66. Let v be i(34). Is v at most 7?
True
Let m = -31.14 + 22.74. Are m and 7 equal?
False
Let z(n) = -98*n**2 + 627*n + 1251. Let p be z(-2). Which is smaller: p or -391?
p
Let m be 15854/9 + 60/135. Is m at least as big as 1764?
False
Let v(u) = 2*u**2 - 3*u - 3. Let s be v(4). Let f(r) = r**3 + 41*r**2 - 2337*r - 56. Let p be f(-73). Is s not equal to p?
False
Suppose c - 5*c = -24. Suppose -c*l + 8*l - 102 = 0. Suppose b + 3*i + 3 = 2, 3*b = 3*i - l. Which is greater: b or 2?
2
Suppose -3*r + 2*y - 10 = 0, 51*r - 10 = 49*r - 2*y. Which is smaller: 2/4095 or r?
r
Let j = 21 - 19. Suppose -20 - j = t. Let z(c) = c**3 - 23*c**2 + 21*c + 1. Let i be z(22). Is t > i?
False
Let f = 28398261/188 - 151055. Which is smaller: 0 or f?
f
Let r = 3/1450 + 44917/15950. Let j = r + -680/253. Is 0 n
|
{
"pile_set_name": "DM Mathematics"
}
|
). Which is the second biggest value? (a) -2/3 (b) -1/3 (c) p
c
Let s = -0.06 + 11.06. Let u = 11.01 - s. What is the biggest value in 3/2, u, 0?
3/2
Suppose q + 24 = -18. Let t be ((-2)/4 - q/112)*-4. Which is the second smallest value? (a) 5/3 (b) -0.1 (c) t
c
Suppose 5*s + 54 = 9. Let b be (s/(-12))/(2 + 1). What is the second smallest value in 0.2, 2, b?
b
Let z = -0.2 + 0.8. Let f = -0.4 - z. Let j = f - -0.7. Which is the second smallest value? (a) -2 (b) -0.1 (c) j
c
Suppose 0 = -4*u + 4, 6*i - 12 = 4*i - 2*u. Let b = 0.5 - 0.66. What is the second smallest value in 0.5, i, b?
0.5
Let c(p) = 4*p**3 - 7*p**2 + 3*p - 5. Let a be c(2). What is the second smallest value in 134, 0.4, a, -1/4?
0.4
Let r = 17/48 - 917/2544. Let q = -35/53 + r. What is the third biggest value in q, -1/5, 3?
q
Let z = -726 + 10888/15. What is the second biggest value in 0.3, 70, 1/2, z?
1/2
Let n = 18.83 - -0.17. Let z be (-3)/84 - 2 - -2. Let q = 115/84 + z. Which is the second smallest value? (a) n (b) q (c) 4
c
Let b = 21 + -100. Let a = 82 + b. What is the third smallest value in 1, 4, a, -1/3?
a
Let y be (6/4 - 330/176)/(-3). Which is the fourth biggest value? (a) 4/5 (b) -0.08 (c) -16 (d) y
c
Let w = -53/4 + 27/2. What is the second biggest value in -0.2, -4.3, w, 3/5?
w
Let y(p) = p**3 + 7*p**2 - 8*p - 1. Let t be y(-8). Let f = 0.07 - -0.93. Let z = f - 0. What is the smallest value in t, 1/5, z?
t
Let y(d) be the second derivative of d**4/12 + 5*d**3/6 - 3*d**2/2 + 12*d. Let s be y(-5). Let g be (-2)/s*9/6. What is the second biggest value in 0, g, -5?
0
Let q = 131.4 + -149. Let s = q + 18. Which is the smallest value? (a) -13 (b) s (c) 2
a
Let o(t) be the second derivative of t**3/6 - 25*t**2/2 - 5*t. Let s be o(20). Let v be (-2)/(-5)*s/(-3). What is the second biggest value in v, 0, 2?
v
Suppose -2*a - 6 = 3*y, 2*y - 6 = 7*a - 5*a. What is the third biggest value in -1, a, -24?
-24
Let s(n) = 6*n + 16. Let w be s(-2). What is the biggest value in -1/7, 65, w?
65
Let w = -2.9 - -2.4. Let y = 2.5 - 0.5. Let h = -1.94 + y. Which is the second biggest value? (a) w (b) 1 (c) h
c
Let t = -0.2 - 0.3. Let m = -1725 + 1721. What is the smallest value in -0.1, m, t?
m
Let w = 6.17 + -0.17. Let k = w + -1. What is the second smallest value in -1, -0.06, k?
-0.06
Let h = 15.6 + -64. Let a = h - -48. What is the second smallest value in 8, a, 5/2?
5/2
Let d be 4*(-24)/32 + (-41)/(-14). What is the biggest value in d, 10, 1/5?
10
Let a = -4 - -3.8. Let q be 890/(-80) + 7 - -4. What is the biggest value in a, -3, 5, q?
5
Let c = -4.083 - -4.1. Let o = c - -0.283. What is the third biggest value in o, 3/4, 0.5, -3/2?
o
Let t = -0.16 - -0.46. Which is the second smallest value? (a) t (b) 0.1 (c) 4
a
Let d = -1.6 + 70.6. Let s = d + -66. What is the smallest value in 1/6, s, 4, 2?
1/6
Let l(d) = -d - 7. Let m be l(-5). Let r be ((-1)/(-3))/(m/(-4)). Let i = -942 + 938. Which is the second biggest value? (a) r (b) -0.5 (c) i
b
Let x = -584 + 609.9. Let f = x + -26. What is the third smallest value in f, -0.2, 1?
1
Let g = -25 - -24.4. Let x = -17 + 22. Let w = x + -5.5. Which is the third biggest value? (a) 2 (b) g (c) w
b
Let f(s) = -s**3 - 5*s**2 - 6*s - 10. Let y be f(-4). Let t be y/6 + 60/18. Which is the second smallest value? (a) -0.07 (b) -3 (c) t
a
Let f = -12 + 10.8. Let y = 3.2 + f. Let h = 3 + -2.7. Which is the third biggest value? (a) h (b) y (c) 3
a
Let u be (6*(-4)/(-6))/2. Let k(n) = -3*n**3 + 1 + 0*n + 4*n - u - 4*n**2 + 4*n**3. Let b be k(3). What is the biggest value in -1/3, 0.5, b?
b
Suppose -5*m + 5*k = 130, 0 = 5*m + 3*k + k + 130. Let n be (-2)/m*(-11 - -9). Let t = -4 + 5. What is the smallest value in n, -5, t?
-5
Let n = 3 - 3.07. Let z = -0.37 - n. Let l = -0.06 - -0.46. What is the smallest value in 4, l, z?
z
Let u be (-3)/(-4) + (-3)/6. Let y = -3.2 + 3. Let v be (10/(-90))/(9/(-108)). Which is the third biggest value? (a) u (b) v (c) y
c
Let j = 2.2 + 9.8. Let k = 7 - j. What is the third biggest value in 2/11, 1/3, k?
k
Let a = 28 - 27.67. Let x = a - 0.53. What is the smallest value in 0.4, x, -3/2?
-3/2
Let u = 1.15 + -61.15. Let i = u - -59. Which is the third biggest value? (a) 4 (b) -4 (c) i (d) 2
c
Let w be ((-1)/(-3))/((-44)/60). Which is the second biggest value? (a) 0 (b) w (c) -1/5
c
Let i = 966.1 + -918. Let u = i - 48. Which is the third smallest value? (a) 5 (b) 1 (c) u
a
Let g = -17 - -17.04. Let m = -0.54 + g. Suppose y = -3*q + 9, 2*q = -2*y + 1 + 1. Which is the third smallest value? (a) m (b) 0.1 (c) q
c
Let y = 75.4 - 75. Let n = -148.4 - -148. Which is the third smallest value? (a) -5 (b) y (c) n (d) 7
b
Let w = -4/7 - -9/28. Let f = 584/1397 - 30/127. What is the smallest value in w, f, -0.1?
w
Let i = 95 - 94.8. Let s = -3.9 - 1.1. Which is the smallest value? (a) i (b) s (c) -3/7
b
Let v(x) = -2*x**2 + 5*x - 1. Let w be v(2). What is the third smallest value in 0.06, 65, w?
65
Let v = 0.06 + 4.94. Let s = -4.79 - -3.79. Which is the biggest value? (a) s (b) v (c) 8
c
Suppose -811 = -4*u + p, 5*p + 40 = u - 139. Which is the smallest value? (a) -0.5 (b) u (c) -0.4
a
Let l = 77 - 80.3. Let t = -2.8 - l. Which is the fourth biggest value? (a) -25 (b) t (c) 0.1 (d) -1
a
Let j = -29 + 15. Let v = -9 - j. Which is the third smallest value? (a) -3 (b) -6 (c) v
c
Suppose 4 - 14 = 5*l + 5*f, -2*f - 14 = 4*l. Let n be (-12)/5 + 4 + -1. Which is the third biggest value? (a) l (b) 0.9 (c) n
a
Let i = 0 + 0.5. Let b be ((-12)/(-126))/((-4)/(-7)). What is the third biggest value in b, 0.1, i?
0.1
Let m = 3.015 + -3. Let t = -2.985 - m. Which is the second biggest value? (a) -1/3 (b) t (c) 0
a
Let k = 187.9 - 190. What is the second smallest value in k, 1/9, 3?
1/9
Let j = -0.6093 - -0.1093. What is the biggest value in -8/15, j, 1?
1
Let m = 0.22 - 0.42. Which is the third smallest value? (a) m (b) 1/5 (c) 0
b
Let i = 23.1 - -3.9. Let s = i + -22. What is the fourth smallest value in s, 0.2, -0.1, -0.5?
s
Let o be 0 - (4 + (-2)/1). Let z = -11.45 - -13.45. Which is the smallest value? (a) z (b) o (c) 0.5 (d) 5
b
Let s be (-5)/7 + (80/(-10) - -9). Which is the third smallest value? (a) s (b) 78/23 (c) 0 (d) 5/2
d
Let h be (4/(-14))/((-170)/(-175) - 1). What is the second smallest value in h, 1, 4, 2?
2
Let o be (-75 - -72)/(6/10). What is the biggest value in o, -2/19, 106?
106
Let j = 11 + -4. Let n = 9 - j. Let i = -25 + 22. Which is the third biggest value? (a) n (b) i (c) -0.4
b
Let j = 0.01 - 1.01. Let z = -1/46 - -99/322. What is the fourth biggest value in 0, z, 7, j?
j
Let s = -50 + 15. Let l = -34.5 - s. Let j = -0.2 - -1.2. Which is the second smallest value? (a) l (b) j (c) -5
a
Suppose -g = -2*g - 3. Let t be 3*(0 + g/(-18)). Suppose 299*l = 300*l - 5. Which is the smallest value? (a) l (b) 0.3 (c) t
b
Let x = 134 - 134. Which is the biggest value? (a) x (b) -188/5 (c) -3 (d) 3
d
Let q be -6 + (-160)/(-18) - 3. What is the third smallest value in 0.2, -0.2, q?
0.2
Let r = -64.59 + 65. Let l = 17 + -17.09. Let o = r - l. What is the second biggest value in 4, 1/7, o?
o
Let v = -8/43 - -75/172. Let d = 14.4 + -14. Which is the second biggest value? (a) 0.01 (b) d (c) v
c
Let r = -5.56 - -4.4. Let z = r - -1.26. What is the third smallest value in 2, -5, z, -4?
z
Let n = -31.9 - -32. Let j be 50/(-12) + 0 + 4. Which is the fourth smallest value? (a) j (b) -0.2 (c) -1/4 (d) n
d
Let s = 74 - 102. Let m = s - -113/4. Let j be 1 + (-1)/4 - 0. What is the smallest value in j, m, 5?
m
Let k(c) = 2*c**2 + 52*c - 389. Let z be k(6). Let y be 4/(-6)*3/(-4). What is the second biggest value in 2/3, y, z, -4?
y
Let h = 82 + -84. Let w = -33.4 - -33. What is the third smallest value in -0.04, w, h, 4?
-0.04
Let d be 33 - ((1 - 3) + 2). Let f = d - 163/5. What is the biggest value in -2/9, -2/25, f?
f
Let r = 287 - 290. What is the third smallest value in 0, r, 2/21, 0.4?
2/21
Let v = 67.1 + -67. Let u = -7.91 + -0.09. Which is the smallest value? (a) 0 (b) v (c) u
c
Let k be ((-1)/(-2))/((-5)/(-130)). Let r be (k + -13 - 5/(-2))*-1. What is the third biggest value in 0.2, -1, -2, r?
-2
Let w = -3/34 - 25/102. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
llest value? (a) -18/5 (b) 30 (c) -0.2
c
Which is the second biggest value? (a) -6 (b) 177 (c) 3 (d) -0.5 (e) -0.2
c
What is the smallest value in 7, -4, 22, 1/7?
-4
Which is the second smallest value? (a) 6/7 (b) 2 (c) 0 (d) 2/43
d
Which is the second smallest value? (a) -13 (b) 0.8 (c) -1/2 (d) -2 (e) 4/3
d
Which is the biggest value? (a) -4 (b) 1.1 (c) -9 (d) -1 (e) -7
b
What is the third smallest value in 40/9, 4, -3/5, 0.2?
4
Which is the biggest value? (a) -2 (b) -97 (c) -5 (d) 3
d
What is the third smallest value in -0.3, 5, 2, 1, 1/2?
1
Which is the third biggest value? (a) -11 (b) -2 (c) -1 (d) 0.8
b
What is the smallest value in 0.111, -4/5, 3?
-4/5
What is the smallest value in -676, 0.5, -9?
-676
What is the third biggest value in 13/2, -0.3, -1/2, -4?
-1/2
Which is the fourth smallest value? (a) 2/19 (b) 5 (c) -0.2 (d) 1/3
b
What is the smallest value in 0, 3/22, -2/27?
-2/27
What is the third biggest value in 18/13, 15, -4, 0, -0.5?
0
What is the third smallest value in -3, -5, 5031?
5031
What is the second smallest value in -14, -0.3, -1/11?
-0.3
What is the third smallest value in 2/5, -0.17, 0?
2/5
Which is the second smallest value? (a) 1/8 (b) 2/7 (c) -85
a
Which is the second smallest value? (a) -1/2 (b) -0.044 (c) 5 (d) 1/15 (e) -1
a
Which is the second smallest value? (a) 9 (b) 2 (c) 4 (d) 0
b
Which is the second biggest value? (a) 0.037 (b) 2/3 (c) 3 (d) -1/8 (e) -2
b
What is the third smallest value in 2/7, -320, 1/7?
2/7
Which is the biggest value? (a) 160 (b) -33 (c) -5/3
a
Which is the third biggest value? (a) -2 (b) -0.06 (c) 3/7 (d) -0.03
b
What is the fourth smallest value in -0.4, 5, -3, -1/8, -1/23?
-1/23
What is the second biggest value in -18, -1/6, 1/2?
-1/6
What is the fourth smallest value in 4, 3, -5, 120?
120
Which is the smallest value? (a) -1/7 (b) -0.1 (c) -2/13 (d) 5/6 (e) 2/5
c
What is the third smallest value in -4/9, 34, -3?
34
What is the fifth biggest value in -1/2, 2, 3/4, 3, -7?
-7
What is the fourth smallest value in 2/13, 10, 3, -2?
10
Which is the third smallest value? (a) 2 (b) 1 (c) -15/7 (d) 1.9 (e) 3
d
What is the fifth smallest value in -5, 2, -1, 2/3, 2/373?
2
What is the fourth biggest value in -1/5, -5, 3, 1/10?
-5
Which is the biggest value? (a) -157 (b) 5.7 (c) 1
b
What is the fourth biggest value in -0.5, 1, 0, 0.4?
-0.5
Which is the fourth biggest value? (a) 2 (b) 1/4 (c) -0.4 (d) 1/6
c
Which is the second biggest value? (a) 3 (b) -19 (c) 2/5
c
Which is the third smallest value? (a) 0.4 (b) -0.5 (c) -16 (d) 8
a
Which is the fourth smallest value? (a) 0.01 (b) 14 (c) 0.3 (d) -5
b
Which is the fourth biggest value? (a) 3 (b) -35 (c) -3/7 (d) 7 (e) 1/3
c
What is the fourth biggest value in 4, -1, 0.1, 25?
-1
Which is the second smallest value? (a) 5 (b) 0.0057 (c) -2/5
b
Which is the smallest value? (a) 61 (b) 3 (c) 1/6
c
What is the smallest value in -0.07, 23, 3/2, 2?
-0.07
What is the fourth smallest value in -4, 4/5, 0.2, -23/2, 3?
4/5
Which is the second biggest value? (a) -1/4 (b) -0.03 (c) 0.4 (d) 3
c
Which is the biggest value? (a) 1 (b) -2/13 (c) -398.5
a
Which is the third smallest value? (a) 0 (b) -5 (c) 2/47 (d) -3
a
Which is the fourth biggest value? (a) -2/3 (b) 1 (c) 0.1 (d) -17/7
d
Which is the third biggest value? (a) -3 (b) -2/9 (c) 2 (d) -15
a
What is the second biggest value in 1, -2.6, 0.4, 3?
1
What is the second biggest value in 3/2, 5, -79?
3/2
What is the fourth smallest value in 1, 153, -19, -3?
153
What is the third biggest value in 17.6, -0.6, 4?
-0.6
Which is the second biggest value? (a) 302 (b) 1/4 (c) 2/33 (d) -2
b
What is the fifth smallest value in 2/7, 1.6, -3, -0.04, 0.2?
1.6
Which is the smallest value? (a) 0.1 (b) -1 (c) -537
c
Which is the fourth biggest value? (a) 2/19 (b) -1 (c) -2 (d) 0.375 (e) 3/7
b
Which is the third biggest value? (a) 1/94 (b) 10 (c) 1
a
What is the third biggest value in -0.3, 5, -401, -1/9?
-0.3
What is the biggest value in 3/8, -4837, 3/2, -1/12?
3/2
What is the third biggest value in -0.75, -0.06, -4?
-4
What is the smallest value in -7, -1/5, 0.11?
-7
Which is the second smallest value? (a) 2/9 (b) 1/17 (c) -0.4 (d) -30/13
c
What is the fourth biggest value in 0.1, 4, 2, -41/2?
-41/2
What is the fifth smallest value in 0.5, 2, 2/19, 0.3, 564?
564
What is the third smallest value in -1/7, -5, -53, -4/5?
-4/5
What is the third smallest value in 1/3, -5, 126?
126
Which is the third smallest value? (a) 1/2 (b) 0.03 (c) 0.1 (d) 15 (e) -3
c
Which is the second biggest value? (a) 0 (b) -0.1 (c) -4 (d) -19.8
b
What is the second biggest value in -164, 0.5, 0.3?
0.3
What is the fourth biggest value in -0.5, 1/8, 0.4, 110?
-0.5
What is the second smallest value in -0.4, -22, -2/17?
-0.4
Which is the biggest value? (a) -0.0576 (b) 3/2 (c) -0.07
b
Which is the third biggest value? (a) 1/18 (b) -1/24 (c) 1 (d) -2/7 (e) -4
b
Which is the biggest value? (a) -4/7 (b) 0.002 (c) 1
c
What is the third biggest value in -1/5, 11603, 1?
-1/5
Which is the second biggest value? (a) 1/4 (b) 2/9 (c) -1/4 (d) 32
a
What is the second smallest value in -3/8, -4/3, -0.2, 0.57?
-3/8
Which is the third smallest value? (a) -2 (b) -282 (c) -1 (d) -4
a
What is the biggest value in -0.1, 81, 6, -5?
81
What is the third biggest value in 1/8, 2, -133, -1.1?
-1.1
What is the fourth biggest value in -3, 0.3, 0.5, -1.7, -2?
-2
Which is the biggest value? (a) -2.4 (b) 2 (c) 27
c
What is the smallest value in -5, 3, -2/7, 7?
-5
What is the second biggest value in -4/9, 7846, -0.3?
-0.3
What is the biggest value in 2/7, 0.4, 1/5, 10, -0.14?
10
What is the third biggest value in 0, 4/7, -1.2?
-1.2
Which is the third smallest value? (a) 478 (b) -3 (c) -0.1
a
What is the second smallest value in 1, 0.291, -2/3, -0.3?
-0.3
Which is the biggest value? (a) 2/13 (b) 2 (c) -0.9 (d) -1
b
Which is the biggest value? (a) -5 (b) -3 (c) 2/167
c
What is the second biggest value in -0.1, 0.12, 2/105?
2/105
What is the fourth biggest value in 0, 3/38, 3, 2/17?
0
What is the biggest value in -1/6, -0.1, 2/15, 758?
758
What is the fourth smallest value in -6/7, -2/15, 1, 0, -1/5?
0
What is the fifth biggest value in -7, 5, -12, 5/4, 0.2?
-12
What is the third biggest value in 4/7, -6, 27/5?
-6
Which is the fourth smallest value? (a) 0.3 (b) -0.5 (c) -41 (d) 11
d
What is the fourth smallest value in -0.4, 0.1, -9, -0.07?
0.1
Which is the second smallest value? (a) -2 (b) 1 (c) 30.2
b
What is the third smallest value in -1/4, -0.3, 1, -3?
-1/4
Which is the second biggest value? (a) -2 (b) 0 (c) 0.4 (d) 2/13 (e) -0.03
d
What is the fourth smallest value in 0.01, -1/3, -2/5, 0.1?
0.1
What is the biggest value in 5, 1/3, 156, -0.06?
156
What is the second biggest value in 2, -4, -788, 2/5?
2/5
What is the second smallest value in -790, -5, -2/9?
-5
What is the second biggest value in -7/12, -3, 2/7, 2?
2/7
What is the third smallest value in -1/10, 3, 2?
3
Which is the fourth smallest value? (a) 3/7 (b) 0.2 (c) -121 (d) 5
d
What is the fifth biggest value in -23, 2, 13, 2/9, 0.3?
-23
What is the fourth smallest value in 0.4, 5, -5, 7?
7
What is the third smallest value in -1/2, 37/5, 2, 5, -3?
2
What is the second smallest value in -0.5, 0, -6/7, 5/3?
-0.5
What is the fourth smallest value in -0.06, 1/4, -0.2, 0.08, 2/7?
1/4
What is the biggest value in -1, -2, -14/11?
-1
What is the third smallest value in 5, 2, 10, -3, -2/3?
2
What is the fifth smallest value in -7, -0.5, 11, -4, 0?
11
Which is the fourth smallest value? (a) -3 (b) -1/5 (c) -0.048 (d) -5
c
Which is the smallest value? (a) -15 (b) 4 (c) -0.03
a
What is the smallest value in 1/2, -11, -2?
-11
What is the second smallest value in -107, -3, -2/7, 4?
-3
Which is the second smallest value? (a) 7/2 (b) 2 (c) -4 (d) -0.1
d
Which is the third biggest value? (a) 0.29 (b) -1 (c) 0.1
b
Which is the third smallest value? (a) 0 (b) 4 (c) 0.1 (d) -6/5 (e) 3.3
c
What is the fifth smallest value in -0.1, -11, -7, -10, -2?
-0.1
What is the third biggest value in -13/5, -2, 0.049?
-13/5
What is the third biggest value in
|
{
"pile_set_name": "DM Mathematics"
}
|
the form t*q**3 + x*q**2 + k + a*q and give a.
-2
Express -2*t**2 - 4 + 6 - 2*t - 2*t**2 - 4 + 2*t**3 as c + n*t + f*t**2 + i*t**3 and give i.
2
Rearrange 3*y**2 - 3*y - 3*y + 4*y to the form n + d*y + q*y**2 and give d.
-2
Express (-7*b**4 - b**4 - 5*b**4)*(-2 + 0 - 2) in the form l*b**3 + x*b**2 + t + f*b**4 + n*b and give f.
52
Rearrange (0*v**3 - v**3 + 3*v**3)*(363 - 363 + 161*v) to the form l*v**4 + h*v**2 + f + t*v + b*v**3 and give h.
0
Express -69 + 34 - 10*f + 35 as p*f + o and give p.
-10
Express 51*z - 28*z - 33*z as r + i*z and give i.
-10
Rearrange (0*m + 7*m - 12*m)*(1 + 1 - 4) + 3*m + m - 3*m + (-3*m + m + 0*m)*(1 + 3 - 3) to the form z*m + q and give z.
9
Rearrange -2 + 2*t**3 - 1 + 5 - 8*t**3 to the form i*t + u*t**3 + m*t**2 + s and give u.
-6
Express -15*q + 2*q**3 + 0*q**2 + 7*q - 3*q**2 as s*q + k*q**2 + x + a*q**3 and give a.
2
Rearrange 2*o**3 + o**2 + 4*o**2 - 3*o**4 + 0*o**4 + o**4 + 2*o - 1 to the form g + c*o**4 + l*o**2 + b*o**3 + z*o and give g.
-1
Express (2 + 5*v**2 + 0*v**2 - 3*v**2 + v)*(-v**2 + 0 + 0) in the form d*v**2 + f*v**3 + t + u*v**4 + q*v and give u.
-2
Rearrange (-c - c + c)*(85 - 48 - 42 + 17*c) to the form v*c**2 + i + h*c and give v.
-17
Express -5*l**2 - 1 + 4*l**2 + 2*l**4 - l**2 - 2*l in the form n*l**2 + r*l**3 + m*l**4 + v*l + d and give m.
2
Rearrange 60*d**3 - 2*d - 22*d**3 - 3 - 30*d**3 to x*d**2 + i*d + g + p*d**3 and give i.
-2
Rearrange 3*q + 14*q**3 - 29*q**3 + 11*q**3 to the form f*q**3 + z*q + r*q**2 + o and give f.
-4
Rearrange 2 + 355*w**2 - 353*w**2 + 7*w + 3*w to the form d*w**2 + z*w + n and give n.
2
Express (-10 + 4*r**2 - 8 - 3*r**2)*(3 - 2*r**2 - 3) as y*r**2 + f + z*r + m*r**3 + w*r**4 and give y.
36
Express ((0*i + 2*i - 3*i)*(4 + 1 + 0) + (3 - 3 - i)*(0 - 2 + 3) - i - i + i)*(-3*i - 2*i + 3*i) in the form a*i**2 + v*i + l and give a.
14
Rearrange 5 + 3*z**3 + 3 - 4*z**3 + 0*z**3 + 2*z to p*z**3 + m*z + y*z**2 + q and give m.
2
Express (-3*c - 2*c + 3*c)*(-24*c - 78 + 78) in the form h*c + v*c**2 + z and give v.
48
Rearrange -4*i**2 - 2*i + 139 - 139 to the form r*i**2 + o + a*i and give r.
-4
Rearrange 5*s**3 - 1 + 0*s**3 - 6*s**3 - 2*s**3 to the form n*s**3 + g + t*s + q*s**2 and give g.
-1
Rearrange -3*f - f - 2*f - 8*f to m*f + n and give m.
-14
Rearrange -64*z**3 + 62*z**3 - 6*z**2 - 1 - 1 to the form w*z + n*z**3 + v + q*z**2 and give q.
-6
Rearrange 4*g - 7*g - 10*g + 0*g to r + i*g and give i.
-13
Rearrange (-2*g + 0*g + 0*g)*(39*g**2 - 72*g**2 - 2*g**2) to the form q*g + u + i*g**2 + k*g**3 and give k.
70
Express 21*d - 9*d**2 - 2 - 20*d + 0 in the form j + s*d + n*d**2 and give n.
-9
Rearrange -3*k**2 - 4*k**3 - 9*k**3 + 12*k**3 + 0*k**2 to o + f*k + z*k**3 + n*k**2 and give z.
-1
Express -2 - 7*v**3 + 9*v**3 + 2*v**3 + 0*v - 2*v in the form d*v**3 + z*v**2 + n + l*v and give l.
-2
Rearrange (3*q**2 + 0*q**2 - 7*q**2)*(q + q + q) to the form a*q**3 + g + v*q + d*q**2 and give a.
-12
Express 0 - 2*v**3 + 0 - 2*v**3 - 5 in the form s*v**3 + y*v**2 + m + g*v and give s.
-4
Rearrange 5*p**4 - 20*p**4 - 15*p**4 + (p - p - 3*p)*(-4*p + 2*p**3 + 4*p) to q*p + v*p**3 + u + m*p**4 + n*p**2 and give m.
-36
Rearrange (4 - 4 + r + (1 - 2 + 3)*(3 - 3 - r) - 7*r + 6 - 6)*(2 - 4 + 4) to m*r + k and give m.
-16
Rearrange (-2*s + 3 - 3)*(148*s**3 + 9*s**3 + 58*s**3) to n*s**2 + k*s + l*s**4 + u + h*s**3 and give u.
0
Rearrange 3*j**2 + 2*j**2 - 3*j**2 + (j - 2 + 2)*(-5*j + 3*j + 4*j) - 11*j**2 - 17*j**2 + 17*j**2 to the form t*j**2 + c + w*j and give t.
-7
Rearrange 10*m**3 + 116*m - 116*m + m**3 - 3*m + 3*m + (2 - 2 + m)*(-3*m**2 + m**2 + 0*m**2) to b*m**2 + p + k*m + j*m**3 and give j.
9
Rearrange -2 - 4*i**2 - 9*i**2 + 6*i + 10*i**2 to the form x*i**2 + f*i + k and give k.
-2
Express 3*v**2 + 5 + 4*v - 10 + 1 - 2*v**3 + 7 in the form n*v**3 + c + z*v + l*v**2 and give n.
-2
Rearrange -23*g**2 + 22*g**2 - 2 + 2 to the form m + i*g + n*g**2 and give n.
-1
Express 3*c + c**4 - c + 2 + 59*c**3 - c**2 - 59*c**3 in the form k*c**4 + n*c**2 + z*c + x + s*c**3 and give k.
1
Rearrange -2*p - 2*p**3 - 2*p**4 + 12*p**4 - 4*p**4 to the form x*p + m + b*p**3 + v*p**4 + d*p**2 and give b.
-2
Rearrange (0 - 2*a + 0)*(50*a - 229 + 229) to the form f + z*a**2 + g*a and give z.
-100
Rearrange (2*p + 0*p + 0*p)*(p - 2*p + 4*p) - 2*p**2 + 6*p**2 + 6*p**2 to b + w*p + v*p**2 and give v.
16
Rearrange ((-1 + 1 - 1)*(-5 + 2 - 5) - 3 + 4 + 0)*(1 + 6*h - 1) to the form g + y*h and give y.
54
Express (-v**4 - 4*v**4 + 2*v - 5*v**4)*(-3 + 3 - 4) in the form n*v**2 + h*v**4 + w*v**3 + i + c*v and give h.
40
Express -4*s**3 + 1 + s**4 + 5*s**4 + 20*s - 4*s**4 + 5*s**3 in the form g + w*s**2 + k*s**4 + v*s + y*s**3 and give g.
1
Express (-3*z + 4*z - 2*z)*(1 + 5 - 4) - 2*z + 4*z + 4*z in the form n + g*z and give g.
4
Rearrange (3*q - 3*q + 2*q**2)*(6 - 5*q**2 - 6) to r*q + n*q**2 + y*q**3 + b + x*q**4 and give x.
-10
Express -4*x - 5*x**2 + 18*x**2 + 2 + 4*x in the form v*x**2 + r + p*x and give v.
13
Express (-2 - g + 2)*(2*g - 5*g + 2*g)*(0*g - 2*g + 0*g - 4*g**2) in the form a*g**2 + y*g + b*g**3 + q + f*g**4 and give b.
-2
Rearrange (-3*r + r**2 + 3*r)*(3*r - 4*r + 0*r + (-3 + 5 + 1)*(-2*r + r + 3*r))*(-6 + 0 - 2) to the form h*r + n*r**3 + w*r**2 + k and give n.
-40
Express -13*f - 12*f + 11*f in the form v + p*f and give p.
-14
Rearrange 12*g + 21*g - 10*g to l + h*g and give h.
23
Rearrange 4*s + 4*s + 15*s - 6*s to w*s + i and give w.
17
Express 5*b + 2*b + 0*b as y*b + m and give m.
0
Rearrange 3*i**3 + 3*i**3 - 4*i**3 + (4*i**2 - 6*i**2 + i**2)*(-4*i + i + 4*i) + 3*i - 4*i**3 - 3*i - i**3 - 1 + 1 to z*i + c*i**2 + o + l*i**3 and give l.
-4
Rearrange -q - 2*q**3 + 0*q**3 + 4*q + 3*q**3 - q**2 - q**4 to the form n + c*q**3 + z*q + k*q**4 + i*q**2 and give n.
0
Express -54*i - 53*i + 6*i as s + a*i and give a.
-101
Express 2*u**4 + 2*u**3 + 0*u**2 - u**2 - 6*u**3 as p*u**2 + g + o*u**4 + c*u**3 + d*u and give o.
2
Rearrange 0 + 3055*q**2 + 4 - 3056*q**2 - 2 + 6*q to the form u*q**2 + v + f*q and give u.
-1
Express -47*p + 4*p**2 + 47*p - 5 + 0 as c + l*p**2 + w*p and give l.
4
Express (-3 + 4 - 5)*(-5*u + 11*u - 22*u) - 7*u + 2*u + 3*u as o*u + k and give o.
62
Rearrange 4 - 5 - 6*q**2 + 5*q**3 + 5*q**2 + 9*q**3 to c*q**3 + o*q + z + j*q**2 and give z.
-1
Express (-3*m - m + 2*m)*(0*m + 2*m - 4*m) + 71 + 11*m**2 - 71 in the form d + g*m + k*m**2 and give k.
15
Rearrange -7*u**2 + 7*u**2 - 10*u**2 - 2 to the form s*u**2 + m + x*u and give s.
-10
Express 2*j + 21*j**2 - 2*j - 2 - 24*j**2 in the form a + u*j + i*j**2 and give a.
-2
Rearrange f + f + f + (5*f - 2*f + 0*f)*(-4 + 1 + 5) + (-2 + 6 - 3)*(-3 + 2*f + 3) to the form y + s*f and give s.
11
Express (-3*r + 3*r + 2*r + (-4 + 0 + 2)*(0*r + 0*r - 2*r))*(-4*r + 0*r + r)*(257 + 14*r - 257) in the form w*r**2 + o + c*r + k*r**3 and give k.
-252
Rearrange (2*z - z + 0*z)*((-2*z + z + 0*z)*(-z + 0*z + 5*z) + (0 + 0 + 2*z)*(0 + 0 + z)) to the form h*z + s*z**3 + i + c*z**2 and give s.
-2
Express 6*n + 9*n + 2*n - 10*n as v*n + o and give v.
7
Rearrange (o + o - o)*(o + 0*o + o)*(-35 + 4*o + 35) to the form t*o + u*o**3 + s*o**2 + m and give u.
8
Rearrange -14 + 2*s**4 + 13 + 4*s - 5*s**3 + 3*s**2 + 3*s**3 to the form o*s**3 + r*s**2 + m*s + f + c*s**4 and give o.
-2
Express -5*m - 3*m**4 + 3*m + 6*m**4 + m**2 + 5*m as o*m**4 + v + b*m**3 + i*m + f*m**2 and give i.
3
Rearrange (2*l - 2*l - 2*l**2)*(3*l**2 - 5*l**2 + 4*l**2) - 2*l**4 + 3*l**4 + 13*l**4 to the form u*l**4 + q*l**2 + r*l**3 + t + j*l and give u.
10
Rearrange l + 0*l - 16*l**3 + 0*l + 17*l**3 - 3 to v + y*l**3 + g*l + s*l**2 and give g.
1
Express -3 + 2*x + 3 + 1 + x - 1 + 5*x - 3*x + 0*x + (0 + 2 - 1)*(4 - 4 - x) - x + 0*x + 0*x in the form w + m*x and give w.
0
Rearrange y**4 - 2*y**2 - 2*y**3 + 83 + 82 - 167 to w*y**3 + i*y + h + t*y**4 + j*y**2 and give w.
-2
Rearrange 78*p**2 + 607 - 607 to the form g*p**2 + b + m*p and give g.
78
Express 1007*m**2 + 5 + 3 + 3*m**3 - 1005*m**2 - m as v + y*m**2 + p*m + c*m**3 and give p.
-1
Rearrange 4*y + 3*y**4 - 2 - 2*y**4 + 48*y**2 - 48*y**2 to the form b + n*y**3 + l*y + r*y**4 + a*y**2 and give b.
-2
Rearrange (-3*r + 6*r - 2*r)*(8 - 12 + 14)*(-r**2 + r**2 - 2*r**2 + (-r**2 + 0*r**2 + 2*r**2)*(-1 + 7 + 2)) to x + c*r + b*r**2 + q*r**3 and giv
|
{
"pile_set_name": "DM Mathematics"
}
|
- d + q = 0, 0*l + l + 5*d = -18. Does 7 divide l?
True
Let h(i) = 6*i + 33. Let o be h(-8). Let y(u) = u**3 + 13*u**2 - 31*u - 9. Let x be y(o). Does 15 divide x/21*1 - (-3039)/21?
False
Suppose 20*f = 17*f - 816. Let p = f + 396. Is p a multiple of 31?
True
Let h(i) = -524*i**3 - i**2 - 3*i - 3. Let o be h(-1). Let z = 44 + o. Is 27 a factor of z?
True
Let c = -2157 + 4339. Is 9 a factor of c?
False
Suppose y - 3 = 0, -32*x - y = -36*x + 56517. Is x a multiple of 90?
True
Let k be (4 + -1)*(42/(-9))/(-2). Suppose -5*v - 194 = -k*v. Let u = v - -1. Is 22 a factor of u?
False
Let r(p) = -p**3 + 56*p**2 + 31*p - 30. Is 30 a factor of r(45)?
True
Suppose -495*x - 72030 + 13549890 = 0. Is x a multiple of 12?
True
Let z be 5/(((-120)/9)/(-8)). Suppose 2*k - 2753 = -z*m, k + 3*m = 807 + 571. Is 14 a factor of k?
False
Suppose -53640 + 336558 = 50*d - 280582. Does 46 divide d?
True
Let w = -16 + 21. Let u(p) = 30*p + 135. Is 16 a factor of u(w)?
False
Is 3 a factor of (1 + 9)/(-53 - -65 - (-2302)/(-192))?
True
Suppose -55751 = -57*n + 35584 + 2715. Is 22 a factor of n?
True
Let h(t) = 2*t**2 - 33*t - 309. Does 2 divide h(-18)?
False
Suppose -5*x - 8241 = -4*s, 2*s - 3*s - 2*x + 2044 = 0. Suppose -s = -5*f + p, -4 = 2*p - p. Suppose 32*h = 34*h - f. Does 14 divide h?
False
Let h(p) = 5*p**2 - 15*p - 2. Let d = -361 + 377. Is h(d) a multiple of 29?
False
Suppose -2*b + 131 = b + k, 2*b - 92 = 4*k. Suppose b*l - 39*l - 1400 = 0. Does 22 divide l?
False
Let d(v) = 203*v + 4036. Is 8 a factor of d(-10)?
False
Let m = 418 - 188. Let h = -39 + 41. Suppose 5*w - m = h*w + 2*l, 0 = 5*w - 3*l - 384. Is 6 a factor of w?
True
Suppose 9 = 4*y + 4*m - 135, y = 2*m + 33. Is y/140 + 115/4 a multiple of 8?
False
Suppose -2*m + h + 1 - 5 = 0, -4*m - 28 = 3*h. Is (m - (-27752)/68) + 12/(-102) a multiple of 16?
False
Let d(v) = -v**2 - 16*v + 21. Let j be d(-17). Suppose 3*o + 0 = -j*c - 1, 2*o - 14 = c. Is (-266)/(-5) - 3 - c/(-20) a multiple of 25?
True
Let a(p) = p**2 - 19*p - 17. Let f be a(20). Is (-2316)/8*(f + 55/(-15)) a multiple of 37?
False
Let g(c) = 33*c**2 + 1 - 99*c + 93*c + 6*c**2 - 10. Is 18 a factor of g(-3)?
True
Suppose -3*i + 5*l - 2 = 2, 3*i + l - 26 = 0. Let a(p) = 3*p - 16*p**2 - p**3 + i*p**2 + 1 + 4. Is 17 a factor of a(-10)?
False
Suppose -3*w + 249083 = -b, 372*w + 415125 = 377*w - 5*b. Does 17 divide w?
False
Suppose 188*x - 9 = 185*x. Suppose -x*y = 4*d - 85, 17 - 48 = -y - 2*d. Is y a multiple of 2?
False
Let t(a) = 31*a**2 + 8*a + 19. Let x be t(-2). Suppose m + 2*j = 354, -m + x = 3*j - 227. Does 6 divide m?
True
Let o be 1*(-57)/(-9) - (-16)/(-12). Suppose 77 = 6*r - o*r. Is r a multiple of 77?
True
Suppose -22*d = -25*d - 75. Let c = d - -281. Suppose c = -20*u + 24*u. Is 27 a factor of u?
False
Let l = 27 + 9. Let k be 4/(-18) - (-16568)/l. Suppose -7*h + 2*h = -k. Does 33 divide h?
False
Let r be -6 + 54/8 + 6/(-8). Suppose r*h - 5*h + 5*d + 1225 = 0, 0 = -2*h - 5*d + 455. Is 12 a factor of h?
True
Let k = 85 - 61. Suppose -2*u + 98 - k = 0. Let m = -2 + u. Does 5 divide m?
True
Let b be 35/7*(3 + -2). Suppose -b*i + 111 = t, 4*t - 423 = t + 3*i. Does 68 divide t?
True
Let m be (-24)/(-132) - (-854)/22. Suppose 10*k - 11 = m. Is -5 + (k - (-43 - 1)) a multiple of 4?
True
Let n be 48/(-42)*28/8. Is n + 13 + -6 - -1 a multiple of 4?
True
Let m be 5 + 215/(-5) + 5. Let r(p) = -14*p + 155. Is 59 a factor of r(m)?
False
Let i(q) = -2*q**2 + 3*q**2 + 62 - 11*q - 59. Let a be i(10). Let n(c) = c**3 + 8*c**2 - 2*c + 1. Is 14 a factor of n(a)?
False
Let b = 18695 - 11903. Is b a multiple of 158?
False
Suppose 4*l = -w + 185, -w - 2*l = -151 - 38. Suppose -y = o - 61, 3*y + 11*o - w = 6*o. Is 2 a factor of y?
True
Suppose 20*y = -16*y - 9*y + 784890. Is 34 a factor of y?
True
Let p(l) = 375*l**2 + 26*l + 72. Does 98 divide p(-3)?
False
Let y be 4/(-2) - (-6 + (3 - -3)). Let w be y/(-4) + 15/(-10). Is (436/(-22) + 4/(-22))/w a multiple of 10?
True
Suppose 0 = -32*b + 202599 + 218393. Does 92 divide b?
True
Does 108 divide ((-432)/(-14))/(526/616735)?
True
Let u be 0 + ((-4)/(-1) - -4). Let i be (-804)/(-2 - 12/(-9)). Suppose u*g + g = i. Does 29 divide g?
False
Let t(p) = -4*p**2 + 443*p + 379. Is t(98) a multiple of 30?
False
Let l(s) = s**3 + 12*s**2 + 11*s + 19. Let v be l(-9). Suppose v*g = 176*g - 16926. Is 12 a factor of g?
False
Let y(d) = -27 - 2*d**2 - 5*d + 5*d**2 - d**2. Let u be 10/50 + 69*20/(-150). Is y(u) a multiple of 30?
True
Let j(w) = -3*w**3 + 4 + 542*w - 540*w + 2 + 13*w**2. Let s(g) = 4*g**3 - 14*g**2 - g - 6. Let h(i) = 3*j(i) + 2*s(i). Is h(9) a multiple of 12?
True
Let a = -21 - -33. Let u be (20/(-60))/(1/a). Is 11 a factor of (66/u)/(8/(-16))?
True
Suppose 2*o = -0*o + 4*z + 26, 5*z + 5 = -3*o. Suppose -4*h + 4*r = -3*h + 14, o*r = h + 18. Is h*1*((-18)/6 - -8) a multiple of 3?
False
Let q(t) be the third derivative of t**6/120 - 13*t**5/60 + t**4/6 + 11*t**3/2 - 23*t**2. Is q(13) a multiple of 4?
False
Let p be 2590/65 - (2 - (-56)/(-26)). Let f be ((-10)/p)/((-1)/12). Is 11 a factor of (-1)/f + (-215)/(-15)?
False
Let b = 363 - -15. Let p = -104 + b. Does 9 divide p?
False
Suppose 139*m = 4690160 - 148196. Is 28 a factor of m?
True
Let l(c) = -64*c**3 - c**2 - 11*c - 24. Does 30 divide l(-3)?
False
Suppose -5*d - 6405 = -j, 1054*d = -3*j + 1055*d + 19117. Does 13 divide j?
True
Does 15 divide 40/35 - 2 - (-1021202)/49?
False
Let w be 0/((-5)/(-20)*4)*-1. Is 38 a factor of 162 + -6 + -4 + w?
True
Does 22 divide ((-8236)/754)/(6/(-858))?
True
Does 37 divide ((-4872)/108)/((-10)/90)?
False
Let s(o) = 3*o**2 + 133*o - 159. Does 7 divide s(12)?
True
Let p = 111 + -112. Does 4 divide ((-86)/(-1))/(p + 3)?
False
Let v(h) be the second derivative of -h**6/80 - h**5/20 + h**4/2 + 7*h. Let z(p) be the third derivative of v(p). Is 12 a factor of z(-6)?
True
Let a(z) be the first derivative of 13*z**3/3 + z**2/2 + 6*z + 20. Is 14 a factor of a(-4)?
True
Suppose -7*x = -388 + 24. Suppose -5*h + 2*q - 134 = -2*q, 2*h = 2*q - x. Is 26 a factor of (-52)/(3 - h/(-9))?
True
Suppose 5*g - 2*y = 10*g - 121, -108 = -4*g + 4*y. Suppose -23*f + g*f - 722 = 0. Does 11 divide f?
False
Let c(a) = 39*a + 6. Let o be c(-2). Let k = o + 129. Is 19 a factor of k?
True
Let p(w) = -245*w - 1622. Does 34 divide p(-18)?
True
Suppose -14 = -4*b - 3*g, -3*b + 4*g - 1 - 1 = 0. Suppose -b*u + 3*f + 773 = -97, 4*f - 1288 = -3*u. Is u a multiple of 12?
True
Let i(u) = u**2 + 7. Let o be i(5). Suppose -o*p + 26*p = -1890. Does 35 divide p?
True
Suppose -2*x = 0, -80*c + 4*x = -84*c + 10400. Does 40 divide c?
True
Let l(o) be the first derivative of o**4/4 - o**3/3 + 2*o**2 + 38. Is 10 a factor of l(4)?
False
Let l = 101 - 97. Does 5 divide -5 + 10*(28 - l)?
True
Suppose 0 = -5*q - 5, -5*m + 11*q = 7*q - 7414. Does 6 divide m?
True
Let h be 1/(-9)*(17 + -332)/7. Let k = -327 + 474. Suppose -j = -m - 0*j + 81, -2*m + h*j = -k. Is 18 a factor of m?
False
Suppose -3*g = -3*n - 9, -5*n + 3*n - 6 = 2*g. Suppose 5334 - 969 = 45*m. Suppose g = 5*i - 193 - m. Is i a multiple of 14?
False
Let z(i) = -26*i + 122. Let m be z(-16). Suppose p + w = 437, -1659 - m = -5*p - w. Does 40 divide p?
True
Let a(m) = -m**2 + 5*m + 9. Let c be a(4). Suppose 1779 = c*p - 4253. Is 3 a factor of ((-2)/7 - p/(-56)) + 1?
True
Let v(x) be the second derivative of -x**3/6 + 11*x**2/2 + 171*x. Let c = 4 - 7. Is 3 a factor of v(c)?
False
Let m be 14 + (4 + -4 - 4). Let t(x) = -4 + m + 9*x + 9 - 4. Does 14 divide t(5)?
True
Let o(m) = m**3 - 4*m**2 + 4*m - 7. Let d be o(3). Let q be (1/3)/(d/(-24)). Suppose -160 = -0*h - q*h. Does 16 divide h?
True
Let f be 3/(-7) + ((-1204)/49 - -3). Let z(p) = p**3 + 22*p**2 + 2. Let a be z(f). Suppose -h + 165 = -a*k, -62 + 207 = h + 3*k. Is h a multiple of 16?
False
Is 20 a factor of -6*(285*68)/(-6)?
True
Suppose -13*p - 886 = -21855. Suppose 6 = -3*h, 5*b + h + p = -3*h. Let n = -176 - b. Is n a multiple of 15?
False
Let w be -1 + (0/(-7))/(-3). Is (w/4)/(1/(-472)) a multiple of 33?
False
Let c(i) = -6*i**2 - i + 4. Let m be c(-2). Is 27 a factor of (183/2)/(153/m + 9)?
False
Let v(g) = -2*g**3 + 2*g**2 - 2*g + 3. Let m(a) = a**3 - 1. Let f(u) = -5*m(u) - v(u). Let q be f(2). Let l = 31 - q. Does 17 divide l?
False
Let p(g) = 11*g**2 + 83*g - 14
|
{
"pile_set_name": "DM Mathematics"
}
|
o 0 in j, -5, 2, 193?
2
Let w = -76 + 75.59. Let u = w + 0.01. Let q = 554.1 - 559.1. Which is the nearest to u? (a) -0.3 (b) q (c) -0.2
a
Let p = -0.0161 - -214.0161. Let g = 207 - p. Let y be 0 + -2 - 4/(-1). Which is the closest to 0? (a) 3 (b) y (c) g
b
Let s = -0.16 - -0.26. Let x = 111.15 - -2.85. Let r = x - 114.1. Which is the nearest to r? (a) -2 (b) 1 (c) s
c
Let f = 20/647 + 607/1294. Let y = 17/30 - 2/5. Which is the nearest to 3? (a) 1 (b) f (c) y
a
Let o = -1444 - -1449. Which is the nearest to -37? (a) o (b) 1 (c) -0.4
c
Let m = -3.29 - -5.67. Let n = m + -2.08. Which is the nearest to 0.1? (a) 1/2 (b) n (c) -0.13
b
Let k = 10 - 6.5. Let w = -1800 + 1803.3. Let r = w - k. Which is the nearest to 0.3? (a) r (b) 2/21 (c) -5
b
Let m = -35893 + 35880. Which is the nearest to 2? (a) 1 (b) 2.2 (c) m
b
Let f = -1919 + 1920. Let m = 19 - 21. What is the nearest to m in f, -15, -3?
-3
Suppose -4*o = 2 - 6, 2*s - 11 = o. Suppose 4*p - 36 = 3*f, 2*p + 5*f = -s - 2. Let j be 0/(-1)*(-4)/4. What is the closest to j in 0.5, p, -5?
0.5
Let w = -77.8 - 14.2. Let g = w - -66. Let j = g + 26.1. What is the nearest to j in -5, -0.3, -2/11?
-2/11
Let n = -654 + 658. Let k = -2222/9 + 247. Which is the closest to k? (a) n (b) -5 (c) -2 (d) -2/9
d
Let k = 20.6 + -15. Let u = k + -6. Let v = -31.697 + 30.697. Which is the closest to 0? (a) v (b) u (c) -4
b
Let g = -34 + 2. Let l = 29 + g. Let w = -1.71 + 6.71. Which is the nearest to -2? (a) 1 (b) w (c) l
c
Let m = -46.76 - -47. Let d = -5.54 + m. Let n = d + 4.4. Which is the closest to 1? (a) -4/7 (b) n (c) -2
a
Let l = -10 - -5. Let v be 6 + ((-99)/176*-8 - 11). Let x = 1 + -2. Which is the closest to v? (a) x (b) l (c) -3/4
c
Let z = 554 + -548. Suppose 4*a - z = -2*u, a + u = 4*a + 8. What is the nearest to a in 0.3, 79, 2/3?
0.3
Let d = 26186.6 - 26187. Let l = 3 - 3.3. Let j = l + 0.5. Which is the closest to j? (a) -3 (b) -1/3 (c) d
b
Let n = 10252 - 10253. Which is the closest to -313? (a) -0.1 (b) n (c) 4/7
b
Let r be 6/(-18)*170*-3. Let y be 4/6 + r/(-210). Which is the nearest to 0.2? (a) 15 (b) -0.1 (c) y
b
Suppose -6*p - 3 = -3*p. Let x = -9.16 - 162.74. Let m = x + 172. What is the closest to m in 0.4, 4, p?
0.4
Let o = 2.9 + -3. Let k = -6.06 + 0.56. Let d = -4.5 - k. What is the closest to o in d, 1.8, 4?
d
Let g = 74819 - 523737/7. Suppose -5*m - 4 = 1. What is the nearest to g in 5, 19/4, m?
m
Let j = -4210.46 - -4210.16. Let k = 4 + -21/5. Which is the nearest to -4? (a) 1/2 (b) k (c) j (d) -2
d
Let o be (-1)/(-2)*-14 - 5. Let u = -97/8 - o. What is the nearest to 1 in u, -1.3, 3?
u
Let j be 2 - 4/8*3. Let g be (-61)/(-244)*(-1 - 0 - 1). Let r = -0.6 - -6.6. What is the closest to r in -1, j, g?
j
Let p = -6.96 + 9.17. Let n = -6.21 + p. Which is the closest to 0.1? (a) 0.2 (b) 8 (c) n
a
Let m = 132 - -1. Which is the closest to -11? (a) 3 (b) 0.5 (c) m
b
Suppose 5*b = 2*l, 0 = -3*b + b - 2*l. Suppose -4*q - 2*h - 10 = 0, 5*h - 13 = 2*q - 38. Let x = 0 - -1. What is the nearest to q in 4, x, b?
b
Let d = -6759/11240 - -3/2248. Which is the closest to -12/5? (a) 143 (b) 1/9 (c) d
c
Let v = 3 + -2.92. Let w = 1.477 - 1.597. Let x = w - v. Which is the closest to -2? (a) -2/7 (b) 3 (c) x
a
Let p be (-1)/(-8) - (-2275)/(-40600). Which is the nearest to p? (a) 4 (b) -3 (c) 2/3
c
Let i = -4.04 + 4.21. Let h = 0.44 + -0.17. Let p = h - i. What is the closest to -0.1 in p, -1, -7/5?
p
Let t = 1.2 + -0.7. Let h = -14.5 - -14. Suppose -43*s = -45*s + 4*p - 2, 0 = 4*s - 3*p + 14. Which is the nearest to -2? (a) s (b) h (c) t
b
Let z be (-304)/(-192) + 3/4 - 2. What is the closest to z in -3, 1, 0?
0
Let n = 9.721 - 5.721. Which is the closest to -2/3? (a) n (b) 2/3 (c) -41
b
Let z = -21/40 - -2/5. Let f = 16.081 + -17.081. What is the nearest to f in 5, z, 0.4?
z
Let m be 10/(-7) - (3 - 4)*2. Let q = -22412373/1219960 + -1/34856. Let z = q - -89/5. Which is the nearest to 3? (a) -4/5 (b) m (c) z
b
Let s = 8.258 + -10.258. What is the closest to 1/2 in s, -2/51, 10/13?
10/13
Let i = 95934 - 17843641/186. Let l = 7/62 - i. What is the nearest to -0.03 in 5, l, -5, 0.3?
l
Suppose 5*w = -51*w + 728. Let q(c) = 20*c - 224. Let g be q(w). What is the closest to -1 in 1, 1/3, g, -2?
-2
Let o = 359/3 + -2507/21. Which is the closest to o? (a) -17 (b) 5 (c) -1
c
Let g = -15633.6 - -15634. Which is the nearest to 3/4? (a) -1 (b) 0.19 (c) g
c
Let f = 2 + -2.5. Suppose 0*r - 3 = -r. Let t = 9412 - 9417. Which is the closest to 2/3? (a) f (b) r (c) t
a
Let r = 0.3374 - 0.0374. Let n be ((-54)/(-243))/((-4)/30). Which is the nearest to 2.5? (a) n (b) 5 (c) r
c
Let o = 23.3 + -165.3. Let r = -113 - o. Which is the nearest to -2/3? (a) r (b) -0.3 (c) -0.5
c
Let x = 144.776 - -0.224. Let r = -87 + x. Let u = -52 + r. What is the nearest to 0.2 in 0.2, u, -0.4?
0.2
Suppose 156*s + 864 = 192*s. Which is the closest to s? (a) -2/3 (b) -8 (c) 4 (d) -4
c
Suppose -104*y + 67 + 166 = -287. Which is the nearest to 0? (a) 1/8 (b) -23 (c) y (d) -9/4
a
Let t = -69676 - -69681. Suppose -3*y = 1 + 2. Which is the nearest to y? (a) 31 (b) t (c) -1/6
c
Let q = -31 - -32. Let f be (0 - q) + (-21)/45*-3. Let j = 14 + -16. Which is the nearest to f? (a) 1 (b) 1/4 (c) j
b
Let m = -9813/5 + 1963. What is the nearest to m in -5, 0.3, 0.17, 4?
0.3
Let x = 0.28 + 6.72. Which is the nearest to 0? (a) -3 (b) -0.2 (c) x (d) -1/3
b
Let x = -11/52 + -71/156. Which is the nearest to -1? (a) x (b) -0.2 (c) -23
a
Let q = 1.2 - 1.1. Let b = 16188.8 - 16189. Suppose -12 = -4*a + 7*a, j = -a - 6. What is the nearest to 1/4 in b, j, q?
q
Let d = -5694 - -5694.3. Which is the closest to -0.1? (a) 2/5 (b) -0.1204 (c) d
b
Let o = 17680.7 - 17681. Which is the closest to 772? (a) o (b) -0.2 (c) 2/17 (d) 2
d
Let q(a) = a**2 - a + 2. Let s be q(0). Let z be 9/((-36)/16) + s. Let v be (-2)/6 - 1 - z. What is the closest to v in -1/3, 0.5, -0.4?
0.5
Let j = 1.01 - 0.01. Let x = -20.3 + 22.3. Which is the closest to x? (a) 0.06 (b) j (c) 0.4
b
Let f = -45365.2 + 45365. Let o be (-1)/(-1) - (-18)/(-14). Which is the nearest to o? (a) 11 (b) 1/8 (c) f
c
Let i = 49 + -203. Let m be (-14)/77 - 600/i - 4. Which is the closest to 2/5? (a) -4/9 (b) 0.1 (c) m
b
Let u = 1439.4 + -1439.9. What is the closest to -0.2 in 0.5, -1, 0.3, u?
u
Let n be -1 + 3 + 718/(-312). Let s = -2/39 - n. Which is the closest to -2/3? (a) 0.4 (b) s (c) 8
b
Let z = -2094 - -2094.5. What is the nearest to 3 in 1, z, -1/4?
1
Let z = 3 + -3.3. Let j = 127894.9 + -127895. Which is the nearest to 2/7? (a) j (b) 3 (c) 5 (d) z
a
Let g be (-2)/(-4) - 54/60. Let s = -4991.1 + 4991. Let u = 38 - 268/7. What is the closest to s in 8, g, u?
u
Let t = -577 - -580.9. Let s = 2.9 - t. Let v = 1/12 - -1/6. Which is the nearest to v? (a) 0.5 (b) s (c) 2
a
Suppose -46*c + 31*c = 2175. Let v = c - -143. What is the closest to v in 3/2, -1/3, -5?
-1/3
Let y = -15269 - -76343/5. What is the nearest to y in -0.207, 2, 0.3?
-0.207
Let o be (-10 - (-126)/12)*(-30)/475. Which is the closest to 1? (a) 0.4 (b) -0.1 (c) o (d) -0.2
a
Let n = 1145 + -1974. Let u = n - -828.7. Which is the nearest to -0.044? (a) u (b) 3 (c) -2/5
a
Let r = 32697 + -32700. Let u = -1.2 + -3.8. What is the nearest to -0.1 in -4/3, u, r?
-4/3
Let n = -19299 + 19301. What is the nearest to n in 3, 20, 4, 0.2?
3
Let j(r) = -r**3 - 4*r**2 - r + 1. Let g be j(-3). Let s = 428365 - 2141823/5. Let o = 0.5 + -0.1. Which is the closest to s? (a) -3 (b) g (c) o
c
Let n = 3.946 - 4.046. Let g = 21 - 22.9. Let z = 2 + g. Which is the nearest to 3? (a) z (b) -5 (c) n
a
Let r be (4 - 9) + (1 - -1). Let y be 24/156 + (-142)/78. What is the nearest to -6 in r, y, -2?
r
Let d = -5.1 - -0.1. Let k = 295.6 - -78.4. Let p = k - 373.8. What is the closest to 4 in p, d, -0.3?
p
Let i = 51437/10 + -10289/2. What is the nearest to 32 in -1/106, i, -2?
-1/106
Let p = -405 - -6883/17. Let y = -5 + 2. Suppose 0 = 5*g + 5*b + 10, -4*g - 265 = b - 251. What is the nearest to -2 in p, g, y?
y
Let i = -2354 + 49436/21. Which is the nearest to -27? (a) i (b) 7 (c) 2
a
Let v(b) be the third derivative of -b*
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{
"pile_set_name": "DM Mathematics"
}
|
2*p**2
Let p(d) = 2*d**2 + 4*d - 2. Let m(x) = -6*x**2 - 11*x + 6. Let v(s) = -4*s + 5. Let k be v(-6). Let f = 18 - k. Determine f*p(z) - 4*m(z).
2*z**2 - 2
Let w(r) = 7*r**3 + 6*r**2 - 6*r + 6. Let i(d) = d**2 + 2*d + 1. Let v be i(-2). Let s(l) = v - 1 - 2 - l**2 + 1 - l**3 + l. What is 6*s(p) + w(p)?
p**3
Let d(q) be the third derivative of q**4/8 - q**3/3 + q**2. Let w(a) = a. Let o = 22 - 21. Calculate o*d(j) - w(j).
2*j - 2
Suppose -2*v + 9 - 1 = 0. Suppose -6 = v*z + 2. Let i(x) = -x. Let u(f) = -5*f + 1. What is z*u(h) + 9*i(h)?
h - 2
Let t(m) = 3*m**2 + 6*m - 17. Let r(c) = c**2 + 2*c - 6. Calculate -11*r(f) + 4*t(f).
f**2 + 2*f - 2
Let l(d) = d**3 + 6*d**2 + 3*d + 12. Let r be l(-6). Let p(k) = -2*k. Let j(z) = -5*z. Calculate r*j(o) + 14*p(o).
2*o
Let b(m) be the second derivative of -8*m**3/3 - 11*m**2/2 + m. Let v(f) = f - 2. Let z be v(3). Let h(k) = k - k + 3 + 3*k - z. Calculate -2*b(a) - 11*h(a).
-a
Let k(d) = d**3 + 9*d**2 + 9*d + 9. Let i(t) = -4*t**2 - 4*t - 4. Let v = 28 + -32. Determine v*k(l) - 9*i(l).
-4*l**3
Suppose 4*a + 12 = -2*o, -5*o + 8 = -2*a - 22. Let k(p) = -11*p**2 - 9. Let m(d) be the second derivative of -5*d**4/12 - 2*d**2 + 21*d. Give o*k(s) - 9*m(s).
s**2
Let s = 32 - 26. Let c(l) = 3*l**2 - 2. Let o(d) = 19*d**2 - 13. Determine s*o(j) - 39*c(j).
-3*j**2
Let j(c) = c**2 + 2*c - 4. Let z(w) = -2*w**2 - 3*w + 7. Let v be 2/8 - 741/(-76). Determine v*j(f) + 6*z(f).
-2*f**2 + 2*f + 2
Let x(c) = -66*c**3 - 11*c - 11. Let f(k) = 13*k**3 + 2*k + 2. Give 11*f(m) + 2*x(m).
11*m**3
Suppose -a = -6*a - 15. Let w(r) = -3*r - 5*r**3 - 2*r**3 + 3*r**3 + 0*r**2 + 3*r**2. Let q(u) = 7*u**3 - 5*u**2 + 5*u. What is a*q(y) - 5*w(y)?
-y**3
Let u(m) = 7*m**3 - m**2 + 86*m - 5. Let t(c) = 4*c**3 - c**2 + 43*c - 3. Determine -5*t(i) + 3*u(i).
i**3 + 2*i**2 + 43*i
Let v be (4/(-8))/(2/20). Let f = -8 - -4. Let p(u) = u + 1. Let z(y) = 1 - 1 - y - 1. What is f*p(h) + v*z(h)?
h + 1
Let b(f) = -7*f**3 - 3*f**2. Let w(n) = 3*n**3 + n**2. Let r(u) = u**3 - 5*u**2 + 4*u - 10. Let g be r(5). Determine g*w(k) + 4*b(k).
2*k**3 - 2*k**2
Let x(z) = -2*z**2 + z + 5. Let n(f) = -6*f**2 + 3*f + 14. Give 4*n(k) - 11*x(k).
-2*k**2 + k + 1
Let m(a) = a - 2. Let i(g) = 2*g - 3. Calculate -4*i(y) + 7*m(y).
-y - 2
Let p(m) = -2*m - 23 + 2*m**2 + 9*m + 17 - 3*m. Let z(n) = n**2 + 3*n - 5. What is 3*p(w) - 4*z(w)?
2*w**2 + 2
Suppose -5*l - 64 = 3*l. Let u(c) = 5*c + 11. Let w(t) = -2*t - 4. Give l*w(n) - 3*u(n).
n - 1
Let s(y) = -6 + 17*y - 4*y**2 - 7*y - 3 + 7*y + 13*y**3. Let v(k) = -3*k**3 + k**2 - 4*k + 2. Calculate 2*s(m) + 9*v(m).
-m**3 + m**2 - 2*m
Let c(t) = t**2 + 1. Let b(p) = -9*p**2 - 7. What is b(h) + 2*c(h)?
-7*h**2 - 5
Let b(a) = a - 1. Let m(i) be the second derivative of -7*i**3/6 + 5*i**2 + 3*i - 3. Calculate -6*b(f) - m(f).
f - 4
Let h(i) = -i - 5. Let c(a) = a**2 - 2*a - 10. Give 3*c(d) - 5*h(d).
3*d**2 - d - 5
Let a(m) = -m**2 - 1. Let g(z) = 2*z**2 + 1. Let q = -60 - -63. Give q*a(o) + 2*g(o).
o**2 - 1
Let t(n) = -2*n**2 - 3*n. Let b(k) = -2*k**2 - 4*k. What is 3*b(g) - 4*t(g)?
2*g**2
Let q(n) = 7*n**2 - 6. Let t(l) = -12*l**2 - 4*l**2 + 3 + 4 + 8*l**2. What is 7*q(a) + 6*t(a)?
a**2
Let a(l) = -2*l**3 + 4*l**2 + 4*l + 4. Let g(n) = n**3 - n**2 - n - 1. What is a(o) + 4*g(o)?
2*o**3
Let r(p) = -9*p**2 + 2*p. Let n(y) = -217*y**2 + 49*y. What is 2*n(s) - 49*r(s)?
7*s**2
Let y(d) = -d**3 - 2*d**2 - 3. Let u(a) = -a**3 - a**2 - 2. Determine -3*u(n) + 2*y(n).
n**3 - n**2
Let u(f) = 1 - 7*f + 3 - 7*f**2 + 13*f**3 - 7. Let r(p) = 3*p - 5*p + p**3 - 1 - 2*p**2 + 3*p**3. Give 7*r(o) - 2*u(o).
2*o**3 - 1
Let k(g) = 1. Suppose 0*b - 6 = -2*b. Let y(x) = 2 - 3*x + 4*x + x + 3. What is b*k(v) - y(v)?
-2*v - 2
Let o(s) = s. Let t be (-122)/(-5) + 18/(-45). Let a(y) = -20*y. What is t*o(g) + a(g)?
4*g
Let y(k) = -32*k**3 - 9*k**2 + 11*k - 17. Let p(u) = -11*u**3 - 3*u**2 + 4*u - 6. What is -17*p(z) + 6*y(z)?
-5*z**3 - 3*z**2 - 2*z
Let t = 62 + -58. Let y(o) = -5*o**3 - 3*o**2 + 3*o. Let v(h) = -h - 3*h + 2*h**2 + 6*h**3 + 2*h**2. Determine t*y(a) + 3*v(a).
-2*a**3
Suppose 2*y = -2*y + 5*a - 12, -3*a = -2*y - 8. Let r(s) = y - 2 + 3 + 1 - 7*s**2 + 5*s. Let l = 4 - 11. Let w(t) = 8*t**2 - 6*t - 5. Calculate l*r(d) - 6*w(d).
d**2 + d + 2
Suppose 3*y + 8 + 13 = 0. Let a(b) = -2*b**2 - 2*b. Let o(d) = -d**2 + d - 2. Let g(c) = -3*c**2 + 4*c - 7. Let f(h) = 2*g(h) - 7*o(h). What is y*f(q) - 4*a(q)?
q**2 + q
Let v(j) = -j**3 - j**2 + 1. Let w = 21 + 34. Suppose 0 = 3*r - 8*r - 5*c + w, -4 = -4*r + 4*c. Let m(d) = -8*d**3 - 5*d**2 + 8. What is r*v(u) - m(u)?
2*u**3 - u**2 - 2
Suppose -2*r = 16 + 12. Let p(n) = n**2. Let w(h) = 3*h**2. Determine r*p(i) + 6*w(i).
4*i**2
Let z(w) = -2*w**2 + 4*w**2 - 3 - 3*w**2 + 4*w. Let q = -2 - 10. Let u = q - -4. Let g(v) = -2*v**2 + 11*v - 8. Give u*z(k) + 3*g(k).
2*k**2 + k
Let d(q) = q**2 + q - 1. Let a(u) = -2*u**3 - 5*u**2 - 9*u + 6. Give -a(g) - 5*d(g).
2*g**3 + 4*g - 1
Let o(n) = -n - 4*n + 2*n + 2*n. Let p(s) = s. Let t = -13 - -18. Calculate t*p(w) + 4*o(w).
w
Let p(z) = 2*z**3 - 7*z + 5. Let a(y) = -y**3 - y + 1. Calculate 5*a(g) - p(g).
-7*g**3 + 2*g
Let c(b) = b**3. Let q(v) = -v**3 + 3*v**2 - 1. Determine 3*c(u) - q(u).
4*u**3 - 3*u**2 + 1
Suppose 0 = 60*k - 59*k - 4. Let f(p) = -7*p**2 - 3*p - 1. Let a(w) = -8*w**2 - 4*w - 1. What is k*a(i) - 5*f(i)?
3*i**2 - i + 1
Let o(t) = t**2 - t - 1. Let y(r) = -2*r**2 + 4*r + 3. Suppose -4*q = -2*s - 8, 0 = -3*s + 4*q - 3 - 3. Calculate s*y(x) + 6*o(x).
2*x**2 + 2*x
Let v(l) be the first derivative of 5/2*l**2 + 0*l - 13. Let q(m) be the second derivative of -m**3/3 + m. Calculate -11*q(w) - 4*v(w).
2*w
Let x(l) = 15*l. Suppose -4*y - 2*c = -18, 2*c = -4*y - 2*c + 20. Let o(v) = 3*v. Give y*x(m) - 21*o(m).
-3*m
Suppose -4*q = 4*z - 2*q - 12, -2*q = 2*z - 10. Let l(a) = 2 + 2*a - 2 - z + 2. Let k(s) = -2*s. Determine 3*k(f) + 2*l(f).
-2*f + 2
Let g(n) = -5*n**3 + 7*n**2 + 5*n + 6. Let j be 2/5 + (-39)/(-15). Suppose -7 - 17 = -j*m. Let u(c) = m - 3 + 4*c - 4*c**3 + 6*c**2 + 0. Give 5*g(y) - 6*u(y).
-y**3 - y**2 + y
Let g = 32 - 28. Let h(r) be the third derivative of 0*r - 5/6*r**3 - 1/60*r**5 + 5/24*r**g - 2*r**2 + 0. Let f(b) = -2*b + 2. What is -5*f(u) - 2*h(u)?
2*u**2
Let r(t) be the first derivative of 3*t + 2 - 3/2*t**2 - 2/3*t**3. Let i(l) = -l + 1. Calculate -3*i(n) + r(n).
-2*n**2
Let b(h) = h. Let w(a) = -7*a + 3. Let d(g) = -g**3 - 26*g**2 - g - 27. Let s be d(-26). Determine s*w(n) - 5*b(n).
2*n - 3
Let j be 3 - -2*(-14)/4. Let q(o) = 0*o**2 - o**2 + 3 - 6 + 9*o. Let b be q(8). Let h(p) = p**2 - 4*p + 6. Let y(t) = t**2 - 3*t + 5. Calculate b*y(s) + j*h(s).
s**2 + s + 1
Let p(b) = 2*b - 3. Suppose -4*g - 3*t + 20 = 0, g + 6 = -2*g + 3*t. Let d be (-6)/(g/((-8)/6)). Let k(a) = 3 + 5 - 5*a + d - 5. Determine -3*k(j) - 7*p(j).
j
Let h(v) be the second derivative of 5/6*v**3 + 0 - 7/2*v**2 - 2*v. Let r(j) = 4*j - 6. Let a = -3 - -10. Determine a*r(x) - 6*h(x).
-2*x
Let p(k) = -2*k - 1. Let q be p(4). Let s = -2 - q. Let a(o) = o**2 + 2 + 1 + 2*o**2 - s*o - 5*o**3. Let x(f) = 3*f**3 - 2*f**2 + 4*f - 2. Give 4*a(r) + 7*x(r).
r**3 - 2*r**2 - 2
Let x(h) = 49*h - 5. Let i(l) = -612*l + 63. What is 5*i(m) + 63*x(m)?
27*m
Let r(o) = 48*o**2 - 10*o + 4. Let u(t) = -16*t**2 + 3*t - 1. What is -2*r(c) - 7*u(c)?
16*c**2 - c - 1
Let g(q) = -3*q + 2. Let i(s) = -4*s + 2. Determine 6*g(o) - 5*i(o).
2*o + 2
Let u(x) = -9*x + 3. Let k(q) = -3 + 0 + 4*q - 1 + 3. Give 5*k(m) + 2*u(m).
2*m + 1
Let a(u) = 3*u**3 + 2*u**2 + 2*u + 1. Let o(x) be the second derivative of -7*x**5/20 - 5*x**4/12 - 2*x**3/3 - x**2 + 2*x. What is -5*a(w) - 2*o(w)?
-w**3 - 2*w - 1
Let s(z) = 2*z**3 - 12*z**2 + 8*z + 3. Let p(i) = i**3 - 8*i**2 + 5*i + 2. Give 8*p(q) - 5*s(q).
-2*q**3 - 4*q**2 + 1
Let g(b) = -7*b**2 - 6*b + 6. Let v(r) = -r**2 - r + 1. Let d(k) = g(k) - 6*v(k). Let o(p) = 2*p**3 - p**2 + 3. Calculate -d(m) + o(m).
2*m**3 + 3
Let z(n) = 4*n - 10. Let a = -1 + 7. Let c(s) = 4*s - 2*s + s - a*s + 7. Calculate 7*c(o) + 5*z(o).
-o - 1
Let w(h) = 3*h**2 + 4*h - 7. Let a(q) = -2*q**2 - 3*q + 5. Let m be (-1)/(-3)*0/(-2). Suppose -2*n - l - 13 = m, -2*l = -5*n - 27 + 8. Give n*w(b) - 7*a(b).
-b**2 + b
Let b(q) = 1. Let x(d) be the first derivative of -3*d + 0*d**2 - 2/3*d**3 + 1. Calcul
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{
"pile_set_name": "DM Mathematics"
}
|
+ x**2 + 4*x**4 + (-55*x**2 - 577*x + 577*x)*(4*x**2 + 0*x**2 - x**2).
-161*x**4
Expand 13*w**3 + 8*w**3 + 5*w**3 + (2 + 5 - 5)*(w**3 - 4*w**3 + 5*w**3) + 0*w**3 + w**3 + 2*w**3.
33*w**3
Expand (-1 + 1 - l)*(2*l**2 - l**2 + 0*l**2) + (5 - 5 + 2)*(7*l**3 + 4*l**3 - 5*l**3) + 5*l**3 - 6*l**3 + 0*l**3.
10*l**3
Expand (-r**2 + 0*r**2 - 11*r**2)*(4*r - r - 2*r + (-1 - 3 + 3)*(8*r + 20*r - 12*r)).
180*r**3
Expand -7*z + 4*z + z + 2*z - 2*z + z - 2*z + 3*z - 2*z + (1 + 3 - 3)*(0*z - 3*z + z) - 226*z - 17*z + 69*z.
-178*z
Expand 2*a - 2*a**2 + a**5 + 2*a**2 + (4 + 1 - 3)*(-113*a**5 + 70*a**4 - 70*a**4).
-225*a**5 + 2*a
Expand (-9*a - 30*a + 37*a)*(a - a + 2*a) + 5*a - 2*a - 4*a + a**2.
-3*a**2 - a
Expand (-a - 2 + 0*a + 1)*(11 + 29 + 17)*(3*a - 3*a - a)*(a + 0*a + a).
114*a**3 + 114*a**2
Expand -3*i**5 + 2*i**5 + 3*i**5 + (-247*i**2 - 72*i**2 + 38*i**2)*(-2*i + 2*i + i)*(2*i**2 + 4*i - 4*i).
-560*i**5
Expand (s**2 + 4*s**2 - 2*s**2)*(-5*s + 3*s + 6*s) - s**2 + s**2 + s**3 + (4*s**2 - s**2 - s**2)*(-4*s + s + 2*s).
11*s**3
Expand (k**2 + 0*k**2 - 2*k**2)*(3*k**2 + 4*k**2 - 6*k**2) + (-4 + 1 + 2)*(-2*k**4 + 0*k**4 + 0*k**4) + 17*k**4 + 26*k**4 + k**4.
45*k**4
Expand -2*b**4 + 2*b**4 - b**5 + (-b**4 + 6*b**4 - 2*b**4)*(b - 7*b + 3*b) - 20*b**2 - 2*b**5 + 20*b**2 - b**3.
-12*b**5 - b**3
Expand (9 - 9 - 9*x**2)*(0 + 7 - 1) - 3*x**2 + x**2 + x**2.
-55*x**2
Expand (4 - 1 + 1)*(-131 + 17*x**5 + 131).
68*x**5
Expand (4 + 3*n**2 + 1 + 0*n**3 - n**3 + (2*n**2 + 0 + 0)*(4*n - 6*n + 3*n))*(23*n**2 - 8*n**2 + 7*n**2 + (4 - 6 + 4)*(2*n**2 - 5 + 5)).
26*n**5 + 78*n**4 + 130*n**2
Expand (5*c**3 - 4 + 4)*(-2*c - 3*c + 3*c)*(2*c - 5*c + 11*c).
-80*c**5
Expand -15 - 14*l + 15 + l + l - l + 3*l - 2*l - 4*l + 2 + l - 2 + (-4 - 2 + 4)*(l - 5*l + 2*l) - l + 5*l - 3*l + l + 0*l + 2*l.
-7*l
Expand (3 + 13 + 1 + 2 + 0 - 3 - 2 + 0 + 3 + 1 + 0 + 1 + (-4 + 2 + 1)*(-4 + 5 + 0) - 2 + 3 - 3 - 4 + 5 + 0 - 1 - 3 + 6)*(2*v**5 - 3*v**5 + 4*v**5).
57*v**5
Expand (x + 0*x - 4*x)*(-150*x**2 - 21*x**2 + 25*x**2 + 2*x**2).
432*x**3
Expand (-113 + 223 - 128)*(5*t - 4*t + 2*t) - 2*t + 0 + 0.
-56*t
Expand (234*h + 233*h - 463*h + 50)*(h**4 + 2 - 2).
4*h**5 + 50*h**4
Expand -y**2 + y**2 + 2*y**4 + (-13*y**3 - 25*y + 24*y + 9*y**3 + 6)*(1 - 1 - y).
6*y**4 + y**2 - 6*y
Expand 29*d**5 - 41 + 41 + (0*d + 5*d - 3*d)*(-4*d**2 + 4*d**2 - 3*d**4) - 2 - 2*d**5 + 2 + (7*d**4 - 2*d**4 - 3*d**4)*(-2*d + 3 - 3).
17*d**5
Expand 3*n**5 + 0*n**4 + 0*n**4 + (n + n**2 - n)*(n**3 - 2*n + 2*n) + 5*n**5 - 3*n**5 + 0*n**5 + 5*n + 18*n**5 - 3*n - 66*n**5.
-42*n**5 + 2*n
Expand 4*u**4 + 5*u**4 - 3*u**4 - 6*u**3 + 6*u**3 + 10*u**4 + (3*u**3 - 4*u + 4*u)*(u - 4*u + u).
10*u**4
Expand (1 - 2 - 1)*(-450 + 126 - 90)*(-4*n + 2*n + 3*n).
828*n
Expand (38*l**2 + 6*l**4 - 38*l**2)*(4 - 8*l - 4) + (-l**3 + l**3 - 9*l**3)*(-l**2 - l**2 + l**2).
-39*l**5
Expand 0*k**3 - 173*k**2 - k**3 - 2*k + 175*k**2 + k - k + k**3 + (0*k + 0*k - k)*(4*k**2 + 0*k**2 - 2*k**2) + (-k**2 + 0*k**2 + 0*k**2)*(k - k + 4*k).
-6*k**3 + 2*k**2 - 2*k
Expand (-3*t - 154 + 364 - 175)*(-3*t - 4*t + 2*t).
15*t**2 - 175*t
Expand 3*j**4 + 0 + 0 - 2*j**4 - 3 + 3 + (-2*j**2 + 6*j**2 + 4*j**2)*(-4*j**2 + 4*j**2 - 2*j**2).
-15*j**4
Expand 0*n**2 - 6*n**2 + n**2 + (2 + 2*n - 2)*(-6 - 2 + 5 + 2*n).
-n**2 - 6*n
Expand (-4 + 1 + 4)*(4*o - 3*o + 0*o) + 3*o + 3*o - o - 7*o + 2*o + 4*o.
5*o
Expand (100*w**2 - 236*w**2 + 110*w**2)*(-3*w**2 + 4*w**2 - 3*w**2).
52*w**4
Expand (3 + 2 - 6)*(16 - 16 - 4*m + ((-1 + 1 + 2)*(-6*m + 3*m + 4*m) + m - m + 2*m + 2*m - 2*m + 2*m + 7*m - m - 2*m)*(4 - 2 + 2)).
-36*m
Expand (1 - 1 - 1)*(5*n + n - 4*n)*((-1 + 4 - 1)*(1 - 1 + 2) + 75 + 78 + 73).
-460*n
Expand (44 + 7 + 25)*((l - l + l)*(-l**2 + 3*l**2 - 3*l**2) - 3*l**2 - l**3 + 3*l**2).
-152*l**3
Expand (16*y**3 - 14*y**2 + 14*y**2)*(2 - 4*y**2 - 14*y**2 - 1).
-288*y**5 + 16*y**3
Expand (1083 + 950 - 186)*(3 - 3 + 2*v**4).
3694*v**4
Expand (-o**4 + 2*o**2 - 2*o**2)*(-2 + 2 + 3*o) - 2*o**5 + 0*o**5 + o**5 + (0*o**5 - 5*o**5 + 3*o**5)*(-2 + 0 + 1).
-2*o**5
Expand 0*w + 3*w - 4*w + 1 + 2*w - 1 + (1 - 2 - 1)*(w + 2*w - 4*w) + 2*w - 2*w - 2*w + w + 4*w - 3*w - 61*w + 852*w + 410*w.
1204*w
Expand (-808*y - 4*y**2 - 7 + 2*y**2 + 814*y)*(0*y + 0*y - 3*y).
6*y**3 - 18*y**2 + 21*y
Expand (-3*o**4 + 7*o**4 - 2*o**4)*(-2 + 0 + 5) - 15*o**4 - 82*o**3 + 5*o**4 - 11 + 80*o**3.
-4*o**4 - 2*o**3 - 11
Expand (-13*z - 49 + 32*z - 18*z)*(0*z + 3*z - 2*z).
z**2 - 49*z
Expand -2*o - 85*o**3 - 83*o**3 + 161*o**3 + 2*o**2 + (-o + 0 + 0)*(4*o**2 + 0*o**2 - 3*o**2) - o**3 + 0*o + 0*o.
-9*o**3 + 2*o**2 - 2*o
Expand (-h + 166*h + 40*h - 12*h)*(2 - 2 - 2*h**4).
-386*h**5
Expand (-2*x + 0*x - x + (-3 + 4 + 0)*(x + x + 0*x) + 0*x + 3*x + 2*x)*(x + x**3 - x).
4*x**4
Expand (0*u + 26*u - 5*u)*(-1 - 5 + 4)*(-3 + 2 + 0).
42*u
Expand -4*h**2 + 6*h**2 + 0*h**2 + (0 + 1 + 2)*(345 - 38*h**2 - 345).
-112*h**2
Expand (p - p - 3*p)*(3 - 3 + p) - 3*p**2 - p**2 + 3*p**2 - 5 + 5 - 9*p**2 + (-2*p + 5*p - 4*p)*(-p - 3*p + 2*p).
-11*p**2
Expand (10*i + 15*i - 13*i + 1)*((-i + 5*i - 2*i)*(5 - 4 - 3) + i + 0 + 0 + 0 + 2*i + 0).
-12*i**2 - i
Expand (-9*q**3 + 6*q**3 + 5*q**3)*(2*q - 2 + 2 + (-4 + 0 + 6)*(0 + 0 - 2*q) - q + 3 - 3 + 3 - 3 + q - 7*q + q + 0*q).
-16*q**4
Expand (5 - 7 - 17*f**2 + 21*f**2 - f)*(-6 - 1 - 3).
-40*f**2 + 10*f + 20
Expand 4*z**5 - z**5 - z**5 + (-268 + 268 - 24*z**4)*(0*z - 2*z + 0*z) - 3*z**5 - 2*z**5 + 3*z**5.
48*z**5
Expand 2*b**2 - b**2 + 4*b**2 + b**2 + 3*b**2 - 5*b**2 + (-b - 2 + 2)*(6*b - 2*b - 3*b).
3*b**2
Expand -d**2 + 3*d**2 - 353*d**3 + 296*d**3 - 2*d**2 + 2*d**2 - d**3 + (-2*d + d - d)*(2*d - 2*d - d**2).
-56*d**3 + 2*d**2
Expand v**2 + 2*v**2 - 7*v**2 - 2*v**2 + 3*v**2 + 0*v**2 + (-1 + 1 - 2*v)*(v + 0*v - 3*v) - 16*v + 16*v - 4*v**2.
-3*v**2
Expand (-2*g**3 + g**3 - g**3)*(16 - 38 + 14)*(1 - 4 + 1).
-32*g**3
Expand (q**2 + 3*q**2 + 6*q - 7*q**2)*(5*q - 6*q + 2*q)*(-3*q + 0*q + q).
6*q**4 - 12*q**3
Expand (r**4 - 3 - r**3 - 1818*r + 1818*r)*(1 - 1 + 1).
r**4 - r**3 - 3
Expand (2*m**3 - 1 + 1)*(78 + 81 - 10).
298*m**3
Expand -21*n - 6*n**5 + 21*n + n**5 - 2*n**5 - 5*n**5 + (-n**2 - 2*n + 2*n)*(2*n**3 + 0*n**3 + 0*n**3) + 0*n**5 + 2*n**5 - 4*n**5.
-16*n**5
Expand n**3 - n**3 + n**3 + (2605*n - 2605*n + 24*n**2)*(-4*n + 2*n + 3*n).
25*n**3
Expand 8*b**3 + b**3 - 2*b**3 + (0*b + 3*b - b + (-2*b + 4*b - b)*(-1 + 2 + 1))*(-10*b**2 - 17*b**2 + 8*b**2).
-69*b**3
Expand 151 - 151 + 18*q + (3 + 0 - 4)*(q - q - 2*q + (-4 + q + 4)*(0 - 4 + 3) + 0*q + q - 2*q + 0*q + q + q - 6*q - 9*q + 3*q).
32*q
Expand (131*l**4 - 258*l**4 + 130*l**4)*(2*l - l + l).
6*l**5
Expand 7*h**2 - 25 + 25 + (4*h**2 - 3*h**2 + 0*h**2)*(3 - 1 + 1).
10*h**2
Expand (4*p**2 + 0*p**2 - 3*p**2)*(661*p**2 - 406*p**2 + 761*p**2).
1016*p**4
Expand 3*g**5 + 0*g**4 + 0*g**4 + 3*g**5 - 2*g**5 + 5*g**5 + 0*g**4 + 0*g**4 - 16*g**5 - 1 - g**5 + 1 + (-g**2 + 4*g**2 - 2*g**2)*(-2*g**3 + 2*g**3 - g**3).
-9*g**5
Expand (-5*a + 5*a + 2*a)*(-42 - 16 - 12).
-140*a
Expand (2 + 7 - 2)*(-6 + 0 + 1)*(-1 + 2 + 4)*(-3*r + 0*r + 2*r).
175*r
Expand 17*s - 14*s - 46*s + (3*s + s - 6*s)*(5 - 3 + 2).
-51*s
Expand 0*c**3 + c**3 - 2*c**3 + (0*c + 0*c - c)*(c + 6*c**2 - c) + (-c + 2 - 2)*(2*c**2 - 7*c**2 + 3*c**2).
-5*c**3
Expand (3*o - 4*o + 0*o)*(o**2 - 1 + 1) - 8*o**3 - 8*o**3 + 5*o**3 - 4*o**3 + 5*o**3 + 0*o**3 + 0*o + 0*o - 3*o**3.
-14*o**3
Expand (22*f - 22*f**2 + 26*f**2 + 1 - 15*f)*(5 - 1 - 3)*(4*f + f - 3*f).
8*f**3 + 14*f**2 + 2*f
Expand (-8*f + 0*f + 3*f)*(-3*f**4 + f**4 + 15*f**2 - 13*f**2).
10*f**5 - 10*f**3
Expand (-4*d**2 + 6*d**2 - d**2)*(-3*d**2 + 2*d - 2*d) - 88 - 7*d**4 + 88 - d.
-10*d**4 - d
Expand (29 + 9*u - 18*u + 10*u)*(-3*u**2 + 2*u**2 - 4*u**2).
-5*u**3 - 145*u**2
Expand (15*y + 332 - 332)*(12*y + 8 - 8).
180*y**2
Expand (o + 2*o - o)*(6304*o - 6304*o + 90*o**2).
180*o**3
Expand (-16*x - 4*x**2 - 15*x + 20*x)*(-4 - 3 + 5)*(2 + 2 - 5).
-8*x**2 - 22*x
Expand (-2 + 2 + 3*a**3)*(2 - 1 + 1)*(-5 + 2 + 1).
-12*a**3
Expand 7 - 8*r + 42*r - 52*r + (1 + 2 - 2)*(-1 + 1 + r) + 6*r - 2*r - 3*r + 2*r - 2*r + 2*r.
-14*r + 7
Expand -v + 4 - 4 + (0 + 1 - 2)*(2*v + 3*v - 4*v) + 357*v - 4903 + 4903.
355*v
Expand (5 - 1 + 0)*(3*s - 3*s - 2*s) + s - 3*s + s - s - 5*s - 5*s.
-20*s
Expand (4*n - n - 13*n)*(0 - 1 - 2)*(-n + 0*n**3 + n**3 + n**2 + 0*n**2).
30*n**4 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
p + g and give g.
0
Express (-4*d + 7*d - 4*d)*(-550*d - 679*d - 2 + 2) as g + v*d**2 + m*d and give v.
1229
Express 59 + 2354*g - 224 + 58 + 60 + 50 in the form o + z*g and give o.
3
Rearrange 2681*h - 7020*h + 2474*h + h**2 + (-2*h + 1 - 1)*(-1 - 2*h + 1) + 2 + h**2 - 2 to the form b + g*h**2 + i*h and give i.
-1865
Express (-6100*s**2 + 400*s**2 + 2757*s**2)*(0 + 0 - s) + (-2*s**2 + s**2 + 2*s**2)*(5 - 5 - s) in the form y + v*s**3 + m*s**2 + k*s and give v.
2942
Express -36*y**2 + 166039 - 166039 - 68*y as u + c*y**2 + j*y and give c.
-36
Rearrange (2 - 5 + 1)*(161*x - 164*x - 131*x) + (23 - 7*x - 23)*(3 + 2 - 8) to the form y*x + w and give y.
289
Express (-1 + 1 + 1)*(0*g - 2*g + 4*g)*(63 + 56 - 180 + 91976*g + 61) as q*g**2 + n + k*g and give q.
183952
Rearrange -71*w**3 + 23*w**3 - 2*w**4 + 5*w + 23*w**3 + 23*w**3 + 8 + w**2 to r*w + c*w**4 + j*w**2 + y + v*w**3 and give j.
1
Rearrange -163 - 135 - x**2 - 14393*x + 298 - 554*x to the form h*x**2 + v + r*x and give r.
-14947
Rearrange -7*g**3 - 653*g**2 + g + 480 + 6*g**3 + 655*g**2 to k*g**3 + s*g + b*g**2 + c and give s.
1
Rearrange (-290*c**3 + 133*c**3 + 89*c**3)*(-c + 3*c + 3*c) + (c**4 + 0*c**4 + 3*c**4)*(2 - 2 - 2) to the form h*c + r*c**2 + b*c**3 + f*c**4 + q and give f.
-348
Express (j - 15340*j**2 + 58*j**3 + 7654*j**2 + 7687*j**2 - 17)*(1 + 1 + 0) in the form z*j + n*j**3 + i*j**2 + t and give n.
116
Rearrange -19*r**2 - 51708*r - 4 - r**3 + 1 + 45*r**2 + 51707*r to y + w*r**3 + m*r**2 + h*r and give w.
-1
Express f - 1077 - 1149 + 12*f + 2092 + f**3 in the form n*f + t*f**2 + g*f**3 + k and give k.
-134
Rearrange 8221*m - 3517353 + 3517353 to the form r*m + z and give r.
8221
Express (6*r**4 + 0*r**4 - 3*r**4)*(21 - 29 - 101 - 161 - 246 - 18) as t*r**2 + k*r**3 + v*r**4 + f*r + i and give v.
-1602
Express 206*b - 2 + 104*b + 124*b + 354*b - 57*b in the form p + x*b and give x.
731
Rearrange -472 + 451*c**2 - 48 + 518 - c**3 to the form t*c + s*c**3 + r*c**2 + p and give p.
-2
Rearrange (-505*g**2 + 501*g**2 - 6*g**3 + 5*g**3 - 789)*(-4 + 4 - 1 + 3*g) to the form p + c*g**3 + b*g + d*g**4 + m*g**2 and give m.
4
Rearrange 4*q**3 - 3*q**2 + 0*q**2 - 115690*q + 115786*q to o*q + x*q**2 + i + p*q**3 and give o.
96
Rearrange 2383*m**3 + 2398*m**3 + 3*m**2 + 2*m - 1 - 4764*m**3 to q*m + d + t*m**3 + w*m**2 and give t.
17
Rearrange (0 - 1 + 3)*(11*i - 46 + 46)*(1 - 1 - 1) - 2763*i - 4879*i - 998*i + 662*i to m + l*i and give l.
-8000
Express -13138*m**2 + 24759*m**2 - 8787*m**2 in the form o*m + s + l*m**2 and give l.
2834
Rearrange 26*y**4 - 5*y**4 + 4*y**4 + (-2 + 2*y**3 + 2)*(0*y - 6*y + 2*y) - 7*y**4 - 3*y**4 - 4*y**4 to d*y + k + m*y**4 + p*y**3 + j*y**2 and give j.
0
Rearrange (-2 + 2 + 1)*(-4*m - 3 + 3) + (-43 + 19 + 4)*(44 - 3 + 2*m + 0) - 2*m + 2 - 2 to v + g*m and give g.
-46
Rearrange (-1092 - 203 - 348)*(-p + 2*p - 3*p)*(-4 + 6 - 4) - 4*p + p + 5*p to the form n + t*p and give t.
-6570
Express (-10 + 82 - 39)*(-w**3 - w + w) + (-2*w**2 - 4*w + 4*w)*(-w + 2 - 2) - 416*w**3 - 258*w**3 + 79*w**3 in the form i*w**2 + a + l*w + r*w**3 and give r.
-626
Express (-4 + 3 + 4)*(89*a - 2*a - 4*a)*(54 - 37 + 115) as i + f*a and give f.
32868
Rearrange -16*m**2 + 130*m - 11*m**3 + 2 + 16*m**2 - 423*m**4 - 428*m + 421*m**4 to j*m**3 + u*m**4 + a*m + f*m**2 + k and give j.
-11
Express -531*w**3 - 5*w + 26*w + 1939*w**3 - 14*w - 6*w in the form a*w**2 + h*w + j*w**3 + v and give h.
1
Express 1066*i - 25*i**3 + 124*i**2 - 1066*i + 8*i**3 as j + h*i + g*i**2 + q*i**3 and give g.
124
Express -390*m**2 + 0*m + 1 + 2*m - 2 - 25300*m**3 + 0 + 25299*m**3 as k*m**3 + w*m + q*m**2 + y and give k.
-1
Express -2*p - 5*p - 184*p**2 + 96*p**2 + 9 - p**3 + 87*p**2 in the form j + l*p**3 + u*p**2 + b*p and give l.
-1
Express -139*i + 1207*i**2 - 604*i**2 - 601*i**2 + (2*i - 9*i - i)*(-2*i - i + 0*i) as b*i**2 + k + z*i and give z.
-139
Rearrange -6154*g**2 - 5*g - 358*g**2 + g + 4*g to the form z*g + t*g**2 + n and give t.
-6512
Rearrange -173*x + 111*x - 298*x + (3*x - 6*x + 2*x)*(-3 + 2 - 2) to the form j*x + q and give j.
-357
Rearrange (40*p**2 - 40*p**2 - 8*p**3)*((-3 + 1 + 3)*(p - 6*p + 4*p) + 0 + 0 + 2*p + 62 + 285*p - 62) to the form d*p + r*p**2 + g*p**4 + m*p**3 + h and give g.
-2288
Express (289 - 563 - 7096*h + 273)*(3*h**2 + 0*h**2 - 4*h**2) in the form b*h**3 + m + s*h**2 + k*h and give m.
0
Express (5*j - 8*j + 8*j)*(-1 - 1 + 1358*j - 896*j + (-2*j + j + 2*j)*(0 - 2 - 2)) as x*j**2 + c + z*j and give z.
-10
Rearrange (-3*v + 10 - 10)*(260*v + 333*v + 43*v)*(0 + 1 + 0)*(3 + 0 + 1) to n*v**2 + y*v + o and give n.
-7632
Rearrange 2411*y**2 - 1258 - 1154 - 2*y**3 - 2411*y**2 + 566 to x + c*y**3 + m*y**2 + l*y and give x.
-1846
Express (3 - 6 + 0)*(-242 + 242 + 19*b**4) - 5*b**2 + 39*b**2 + 7*b**2 + b**4 as c*b + w*b**3 + d*b**2 + u*b**4 + l and give d.
41
Rearrange -202345408 + 202345411 - 1703*p**2 + 2*p + 114*p**2 to the form a*p + i*p**2 + f and give a.
2
Rearrange 2*w**2 - 3*w**2 + 3*w**2 + (-2*w - w + w)*(-4*w - 2*w - 3*w) + (-3 - 2 + 7)*(-2*w - 7 + 7 - w**2) to the form h*w + o*w**2 + b and give h.
-4
Express v**2 + 3*v**3 - 17*v**2 + 8*v + 6*v**2 - 2*v**4 - 7*v**2 + 15*v**3 in the form p*v**3 + r*v**4 + z*v**2 + y*v + a and give y.
8
Rearrange 1 - 843*p + 176*p + 213*p to the form a*p + o and give a.
-454
Rearrange 231*f**3 + 147*f**2 - 230*f**3 - f - 192*f**2 + 3 to q*f + z*f**2 + l*f**3 + i and give l.
1
Rearrange (34*j + 29*j**2 - 34*j)*(-3*j + 2*j - 2*j)*(9 - 33 - 38) to the form n*j + q*j**3 + w + v*j**2 and give q.
5394
Rearrange 3*n**3 - n - 5 - 339*n**2 + 180*n**2 - 2*n**3 + 170*n**2 to the form y + t*n + d*n**2 + x*n**3 and give t.
-1
Express (846*f**2 + 84850 - 84850)*(-6*f + 5*f + 5*f) as u*f**3 + y*f + d + h*f**2 and give u.
3384
Rearrange -1240 + 1244 + 15*v + 177*v - v**2 - v**2 to the form m*v + s*v**2 + t and give s.
-2
Rearrange -974*u**2 + 1932*u**2 - 967*u**2 + 172 to the form g*u + h*u**2 + c and give c.
172
Rearrange 2 - f - 1000*f**3 + 0*f + 32*f**2 - 32*f**2 to h + l*f**3 + o*f**2 + p*f and give h.
2
Rearrange -357*x**2 - x**3 - 2 + 23*x + 358*x**2 + 6*x**3 - 23*x to q*x + d + f*x**3 + s*x**2 and give f.
5
Express 364 - 105*x - 122*x + 222*x in the form f*x + a and give a.
364
Express 3*j - 1 + 1 + (1 - 1 + 2*j)*(-2 + 9 + 5)*(-87 + 149 - 172) in the form l + r*j and give r.
-2637
Express (-16920 + 16920 - 176*p**2)*(-5*p - 4*p - 4*p - 10*p - 4*p + 28*p) in the form j*p**3 + m + n*p + o*p**2 and give j.
-176
Express -2 - 44*f + 8*f**4 - 2*f**3 + 165*f - 123*f - 8*f**2 in the form t*f**4 + s*f**3 + l + u*f + x*f**2 and give l.
-2
Rearrange 26336*l**3 - 117*l**2 - 26332*l**3 - 777*l**2 - 495*l**2 to the form f + q*l**3 + c*l**2 + m*l and give q.
4
Express 2*d**4 - 9*d**4 - 5*d**4 + (2*d - d**3 + 3*d + 5*d)*(2 - 2*d - 2) in the form i*d**3 + a*d**4 + x + r*d**2 + h*d and give a.
-10
Rearrange -1061 - 424 - 258*m + 1492 to y*m + w and give y.
-258
Express -203*y**3 - 20 + y + 614*y**3 + 21 - y**2 + 183*y**3 in the form r*y**3 + h + p*y**2 + z*y and give p.
-1
Rearrange -77*m - 60*m - 350 + 356 to the form h*m + b and give b.
6
Express 409*t - 159065 + 159065 + (3 - 3 - 2)*(12*t - 2*t + 4*t) in the form p + s*t and give s.
381
Express (24*c - 12*c + 21*c)*(-13*c - 8*c + 18*c)*(-2*c - c - 7*c)*(3*c - c + c) in the form w*c**2 + n + x*c + q*c**4 + m*c**3 and give q.
2970
Express 2*j**2 - 4135*j + 8281*j - 4146*j + 1524 as h + f*j + g*j**2 and give f.
0
Express 155 + 265 + 75*x**2 - 409 as m*x**2 + b*x + y and give y.
11
Express -11*z - 309*z**3 - 1 + 149*z**3 - 4*z**2 + 5*z - z**4 + 5*z + 154*z**3 in the form d*z + u*z**4 + y + a*z**3 + c*z**2 and give u.
-1
Rearrange 155 + 16*l - 78*l**2 - 154 - 115*l**2 to f*l + h + c*l**2 and give f.
16
Express (t**2 + 0 + 0)*(-1 + 0 + 2) - 19*t**2 + 185 - 185 + 13*t**2 - 34*t**2 + 52*t**2 in the form j*t**2 + i + d*t and give j.
13
Rearrange (33 - 11*d - 33)*(287 - 8 + 321) to the form k + c*d and give k.
0
Express (395*a + 1491*a + 711*a)*(4*a - 4*a + a - 2*a) in the form p*a + j + w*a**2 and give w.
-2597
Rearrange -1457*z**2 + 2916*z**2 - 3 - 1469*z**2 + 13*z to the form m*z + u + y*z**2 and give y.
-10
Rearrange (b + 1960 + 98 + 746)*(2*b - 1 + 1) to the form o + r*b + n*b**2 and give r.
5608
Rearrange (5 - 6 - 7)*(-2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
207?
9
Calculate the highest common divisor of 1194015 and 10.
5
What is the highest common divisor of 60 and 238940?
20
Calculate the highest common factor of 381919 and 19.
19
Calculate the greatest common divisor of 506659 and 551.
29
What is the greatest common factor of 39707 and 118?
59
Calculate the highest common divisor of 133868 and 12977.
683
Calculate the highest common factor of 464 and 1280.
16
What is the greatest common factor of 678 and 162?
6
Calculate the highest common factor of 10096775 and 1322.
661
Calculate the greatest common divisor of 182 and 6578.
26
What is the highest common factor of 9956 and 6764?
76
What is the highest common divisor of 66852 and 84?
12
Calculate the highest common factor of 76 and 5909.
19
What is the highest common divisor of 58499 and 53704?
959
What is the greatest common factor of 48 and 111300?
12
Calculate the greatest common factor of 101962 and 14.
14
Calculate the greatest common divisor of 231 and 13002.
33
What is the greatest common divisor of 25 and 166825?
25
Calculate the greatest common divisor of 75 and 771.
3
What is the greatest common divisor of 1830 and 33890?
10
Calculate the highest common factor of 68 and 1666.
34
Calculate the highest common divisor of 621501 and 1338.
669
Calculate the highest common factor of 404182 and 2506.
358
What is the greatest common divisor of 36480 and 8550?
570
What is the greatest common divisor of 1864 and 16?
8
What is the highest common divisor of 407928 and 17112?
552
What is the greatest common factor of 552 and 592752?
24
What is the highest common divisor of 12566 and 184988?
206
Calculate the greatest common divisor of 6272 and 7252.
196
Calculate the highest common divisor of 872 and 290812.
436
What is the highest common factor of 7875 and 217125?
1125
What is the greatest common divisor of 48056 and 456?
8
Calculate the greatest common divisor of 5285889 and 147.
21
What is the greatest common divisor of 198600 and 72?
24
Calculate the highest common factor of 12492 and 4572.
36
Calculate the highest common factor of 17 and 7290314.
17
Calculate the highest common divisor of 4656 and 1920.
48
Calculate the highest common divisor of 21 and 73311.
21
Calculate the greatest common factor of 1246050 and 468.
234
What is the highest common divisor of 53664 and 33904?
208
Calculate the highest common divisor of 14760 and 280.
40
Calculate the greatest common divisor of 59323 and 11.
11
What is the highest common divisor of 12865 and 775?
155
What is the greatest common factor of 736744 and 133?
19
Calculate the highest common factor of 18 and 503406.
18
Calculate the greatest common divisor of 522 and 133632.
522
Calculate the highest common factor of 445748 and 188.
188
What is the highest common factor of 318512 and 544?
272
Calculate the greatest common divisor of 59873 and 66.
11
Calculate the greatest common factor of 1407784 and 21.
7
What is the greatest common divisor of 31749 and 969?
57
What is the greatest common factor of 45 and 266256?
9
What is the highest common divisor of 2994 and 397204?
998
What is the highest common factor of 52 and 15856?
4
What is the highest common factor of 8797104 and 16?
16
Calculate the highest common factor of 64 and 40992.
32
What is the greatest common factor of 36 and 98188?
4
Calculate the greatest common divisor of 17884 and 120454.
526
What is the greatest common factor of 4620 and 7315?
385
What is the highest common divisor of 2853 and 153?
9
Calculate the highest common divisor of 35860 and 340.
20
Calculate the greatest common divisor of 5488 and 4536.
56
What is the highest common factor of 1394609 and 577?
577
Calculate the greatest common factor of 1462 and 12274.
34
Calculate the highest common factor of 20 and 109760.
20
Calculate the greatest common divisor of 83 and 193639.
83
Calculate the highest common divisor of 579808 and 232.
8
Calculate the greatest common divisor of 5736 and 168.
24
Calculate the greatest common factor of 460 and 4651060.
460
Calculate the highest common factor of 19712 and 2352.
112
Calculate the highest common divisor of 328 and 2385544.
328
Calculate the highest common factor of 910 and 1222.
26
Calculate the greatest common factor of 700 and 10325.
175
Calculate the highest common factor of 5202 and 18054.
306
Calculate the highest common divisor of 1280 and 3560.
40
What is the highest common divisor of 114863 and 183?
61
Calculate the greatest common divisor of 678 and 467481.
339
Calculate the highest common factor of 317909 and 3711.
1237
What is the greatest common factor of 17889 and 113475?
267
Calculate the highest common factor of 6437 and 6847.
41
Calculate the greatest common factor of 386265 and 330.
165
Calculate the greatest common divisor of 400 and 19725.
25
Calculate the greatest common factor of 1850 and 138650.
50
What is the greatest common factor of 2448 and 414?
18
Calculate the highest common divisor of 7659 and 14985.
333
Calculate the highest common factor of 713 and 7595.
31
Calculate the greatest common divisor of 420 and 1330.
70
Calculate the highest common divisor of 612 and 24174.
306
Calculate the greatest common factor of 320 and 205.
5
What is the highest common factor of 213770 and 10?
10
Calculate the greatest common divisor of 2 and 13301.
1
What is the highest common factor of 9804 and 64980?
228
What is the highest common divisor of 31 and 1078211?
31
What is the greatest common factor of 67074 and 294?
42
Calculate the highest common divisor of 3213 and 19089.
189
What is the greatest common factor of 425665 and 5?
5
Calculate the greatest common factor of 3000 and 2316.
12
Calculate the highest common factor of 23923 and 509.
509
Calculate the greatest common factor of 35 and 50771.
7
What is the highest common factor of 358 and 272796?
358
What is the greatest common factor of 9 and 136692?
9
Calculate the greatest common factor of 31304 and 5148.
52
Calculate the highest common divisor of 1 and 8897.
1
What is the highest common divisor of 653840 and 760?
40
What is the greatest common divisor of 120 and 414900?
60
What is the greatest common divisor of 175 and 6419?
7
Calculate the greatest common divisor of 12 and 43572.
12
Calculate the greatest common divisor of 115767 and 171.
171
What is the greatest common factor of 10 and 4542?
2
What is the highest common divisor of 2820 and 540?
60
What is the highest common factor of 927710 and 457?
457
What is the highest common factor of 10503 and 324?
27
What is the highest common factor of 73429 and 7570?
757
What is the greatest common divisor of 6895 and 4585?
35
Calculate the greatest common factor of 43978 and 1166.
22
Calculate the highest common factor of 1004 and 754506.
502
Calculate the greatest common factor of 11490 and 1090.
10
Calculate the highest common factor of 6091378 and 226.
226
What is the highest common factor of 35350 and 184830?
1010
Calculate the greatest common divisor of 88821 and 2085.
417
What is the highest common divisor of 152436 and 24?
12
What is the greatest common factor of 37394 and 140?
14
Calculate the highest common divisor of 12 and 395468.
4
Calculate the highest common factor of 83124 and 4374.
18
Calculate the highest common factor of 84 and 28404.
12
What is the highest common factor of 42090 and 3294?
366
What is the greatest common factor of 41536 and 4202?
22
Calculate the greatest common divisor of 29083 and 7786.
229
Calculate the highest common divisor of 1 and 48109.
1
Calculate the highest common factor of 69780 and 300.
60
Calculate the greatest common factor of 5442 and 1188.
6
Calculate the highest common factor of 13145 and 495.
55
Calculate the greatest common factor of 176 and 73854.
22
What is the highest common divisor of 536232 and 156?
12
What is the highest common divisor of 79372 and 4?
4
Calculate the greatest common divisor of 9509 and 37.
37
Calculate the highest common factor of 898632 and 54.
18
Calculate the greatest common factor of 210 and 117670.
70
What is the greatest common divisor of 87872 and 4?
4
What is the greatest common divisor of 82964 and 196?
28
What is the greatest common divisor of 12376 and 1092?
364
Calculate the highest common divisor of 1324616 and 368.
184
W
|
{
"pile_set_name": "DM Mathematics"
}
|
in a, 2/15, -2/5?
-2/5
Let h be (-44)/(-72) + 2/(-18). What is the third biggest value in 1/3, h, 2/11, 5?
1/3
Let y(n) = 3*n**2 - n. Let m be y(1). Let x be (-2)/m + 212/(-6). Let r = 36 + x. What is the biggest value in 4/7, 5/2, r?
5/2
Let i = 3.17 - 0.17. What is the biggest value in -1/3, i, 1/4?
i
Let u = -1 + 1.7. Let x = u - 0.3. What is the second smallest value in 3/5, -2, x?
x
Let t(p) = -p**3 - 3*p**2 + 5*p + 4. Let v be t(-4). Suppose 2*r = -5*a - 2*r, -4*a + 4*r = v. Let h = 3.95 - -0.05. What is the smallest value in h, a, 3?
a
Let h be (-1)/4 - (-1383)/(-36). Let o = -39 - h. Let l = -5/6 - o. What is the third biggest value in -1, -0.3, l?
-1
Suppose 0 = -5*u + 2*t + 25, -5*u + 2*t - t + 25 = 0. Suppose v = -b - b - u, -4 = -4*v. Let m = -5 + 10. What is the biggest value in 0.5, b, m?
m
Let c = -16 - -16. What is the third smallest value in 1, c, -2?
1
Let t = 1.59 - 2.09. Let r = -1 - -1. Let h be -2*(r - (-2)/(-6)). Which is the smallest value? (a) h (b) t (c) 5
b
Let q = 9.6 - 11. Let j = -1 - q. What is the third biggest value in j, -5, -2?
-5
Suppose -2*k + 8*r + 10 = 3*r, r = -4. Let s be k/(-1)*(-2)/(-2). Let i = -0.04 - -4.04. Which is the second smallest value? (a) -5 (b) i (c) s
b
Let d = -8 - -8.4. Which is the third biggest value? (a) d (b) -0.3 (c) 3
b
Let v = -19.4 + 20.23. Let d = 0.17 + v. What is the second biggest value in d, 3, 3/4?
d
Let o = -0.22 - -0.07. Let q = 1.95 + -2. Let m = q - o. Which is the smallest value? (a) -1 (b) m (c) -0.4
a
Let i = -79.7 - -84. Let x = -3.3 + 3. Let f = i + x. Which is the third biggest value? (a) f (b) 2/3 (c) 5
b
Let d(y) = 2*y**2 + y + 1. Let g be d(-1). Suppose z - g*z = 6. Let x be 3/z + 30/44. Which is the third smallest value? (a) 1/3 (b) -3 (c) x
a
Let y be (-2)/((-2)/3) - 1. Let z be y/6*(-15)/10. What is the third biggest value in -2, 1, z?
-2
Let v = -61/33 + 24/11. Let n be 37*1*(-1)/1. Let t = 147/4 + n. Which is the second smallest value? (a) v (b) t (c) 3
a
Let g = 0.03 - 0.33. Let i(v) = v**2 + 3*v - 5. Let c be i(-5). What is the third biggest value in c, g, -1/4?
g
Let s be (-6)/15 + 6/15. What is the third smallest value in -1, -0.04, s?
s
Let p be (5 + -1)*2/36. Let j(n) = -n**3 + 2*n**2 + n. Let h be j(3). Let u = -11 - h. What is the third biggest value in p, u, 4/3?
u
Let s = 4.8 - 0.8. What is the biggest value in -5, -3/4, s?
s
Suppose 0 = p - 2*p + 7. Let q = -6 + p. Let m be (1 + -2*q)*-3. Which is the biggest value? (a) -1/4 (b) 0.5 (c) m
c
Let h = 21.78 - 22. Let n = h - -0.02. What is the third biggest value in n, -5, 2?
-5
Let k = 31 + -34.3. Let i = 3 + k. Let u = 0.3 - -0.2. Which is the third biggest value? (a) i (b) u (c) -0.2
a
Let d = 0.019 + -102.019. What is the smallest value in d, 1, 0.2?
d
Suppose 5*z + 25 = -2*m, 0 = -2*m - 2*z + z - 5. Which is the biggest value? (a) -3 (b) m (c) -1/4 (d) 2/15
d
Let o = 108 - 108.04. Which is the smallest value? (a) o (b) -5 (c) 1/5 (d) 4
b
Let x = -333/5 - -67. Which is the third biggest value? (a) -0.1 (b) x (c) 1/2
a
Let i = 242455/56 + -17315/4. Let w = 3/7 - i. What is the second biggest value in -1, -1/9, w?
w
Let z = 5 - 5.4. Let l = 0.7 + z. Let u be 1*1/((-22)/12). Which is the biggest value? (a) 2/13 (b) l (c) u
b
Let g = -11 - -16. What is the biggest value in 1/2, -0.2, g?
g
Let f = 21 + -12. Let x = f + -5. Let i = -6 + 7. Which is the smallest value? (a) i (b) x (c) 0.1
c
Let b = -9 - -8.9. Let l = b + 0.4. Let a be (3 - 0)/(1/1). What is the second biggest value in l, -5, a?
l
Let m = -3 + 2.65. Let f = m - 0.05. What is the second biggest value in f, 3, -4?
f
Let v be (3*1)/((-12)/8). Which is the second smallest value? (a) 0.1 (b) -3/2 (c) v
b
Let q be (-3)/6 - (-2)/(-12). Let x be (-1)/2*(-5 - -3). Let w(t) = t**2 - 9*t + 5. Let n be w(9). What is the second smallest value in q, x, n?
x
Let r be 3/6 + 1/(-3). Let q = -52 + 50. Which is the second biggest value? (a) -0.04 (b) q (c) r
a
Let j = 1/40 + 73/280. Let h = -0.2 + 0.08. Let w = 0.02 + h. What is the second biggest value in -1, j, w?
w
Let y be 0 + (2/(-9))/(-2). Let o be (5/(-20))/(3/4). Which is the second smallest value? (a) o (b) 3 (c) y
c
Suppose -3*x = x - 3*k + 19, 3*x + 3*k = 12. What is the biggest value in -2, -0.4, x?
-0.4
Let m be 17/(-5) - (-8)/20. Let c(n) = -2*n + 10. Let u be c(8). Let g be 9/2*2/u. What is the second smallest value in m, g, -1?
g
Let p(i) = 4*i - 10*i + 12*i**2 + 8 - 5*i - i**3 + 0. Let v be p(11). What is the third biggest value in -0.4, -5, v?
-5
Let l = 123 - 123.2. Which is the second biggest value? (a) l (b) -2 (c) -3/10
c
Let c = -12.8 - -15. Let j = c + 1.8. What is the third smallest value in 2/15, j, -0.5?
j
Suppose 5*k - 15 = 0, q - 2*k - 1 = -5. Which is the second smallest value? (a) 0 (b) -2 (c) q
a
Let q = 286 + -166. Let n be (q/27)/2 + -2. What is the biggest value in -0.07, 3/5, n?
3/5
Let r = 30 - 25. What is the second smallest value in -1, -3, r?
-1
Let i be -1 + 5 + -6 + 5/1. Let a(c) = -2*c + 6. Let j be a(5). What is the biggest value in 0.5, i, j?
i
Let q(p) be the second derivative of p**3/6 + p**2/2 - 2*p. Let f be q(0). Let g = 0 - 0.1. Which is the second biggest value? (a) -1/3 (b) g (c) f
b
Let u = -4/15 - 2/5. Which is the second smallest value? (a) -1 (b) u (c) -1/14
b
Let a = 0.202 - 0.002. What is the third biggest value in 18, -1, 2, a?
a
Let t = -0.1 - 0.1. Let d(s) = -6*s - 2. Let v(x) = -4*x - 1. Let m(y) = -5*d(y) + 8*v(y). Let l be m(3). What is the third smallest value in t, l, -0.1?
-0.1
Let s = 32 - 41. What is the second biggest value in s, 1, 4?
1
Let t be 25/(-9) + (0 - -3). Let x = 0.08 - -2.92. Which is the smallest value? (a) -4 (b) t (c) x
a
Suppose -3*u = -8*u + 45. Let f be 0 - -2 - 750/u. Let p = 80 + f. Which is the second biggest value? (a) p (b) -1/7 (c) -1/3
c
Let j = 86/165 + -4/33. Let i = -33/2 - -17. What is the second biggest value in 1/9, i, j?
j
Let r = -33 + 24.5. Let u = r + 8. Which is the second smallest value? (a) 4/5 (b) u (c) 2/15
c
Let h = -10/3 - -11/6. What is the second smallest value in -1, h, -0.3?
-1
Let f be ((-175)/(-20))/(-7)*(-4)/(-30). What is the biggest value in f, 0.3, 1?
1
Let g = -19 - -172/9. Which is the smallest value? (a) -2/9 (b) g (c) -0.3
c
Let u = -139 - -136. Which is the second smallest value? (a) 0 (b) 5 (c) 0.1 (d) u
a
Let g = -1 + 5. Which is the third smallest value? (a) -1/2 (b) g (c) -4
b
Let s = 9.94 + 0.06. Let z = s + -8. Which is the third smallest value? (a) -2 (b) 4 (c) z
b
Let m be ((-60)/100)/(8/10). Let r = -79/2 + 37. What is the third biggest value in 3, r, m?
r
Let c = -0.063 + -5.537. Let i = 10 + -4. Let h = i + c. What is the second smallest value in h, -0.2, -0.3?
-0.2
Let g = 3 - 7. Suppose -5 + 1 = v. Let h be 160/(-48)*1/v. Which is the second smallest value? (a) -1 (b) g (c) h
a
Let h = -0.078 + -0.422. Let j = -5 - -4. Which is the third biggest value? (a) h (b) j (c) 2/7
b
Let n = -0.11 + 0.11. Let r = 1 - 1.2. Let i = r + 0.1. What is the third biggest value in 2/13, i, n?
i
Let u be (1 + (-4)/5)*(-115)/46. Which is the third smallest value? (a) -2/15 (b) 0 (c) u
b
Let u(k) = k**2 + k + 7. Let j be u(0). Let y = j - 12. Let q be ((-9)/(-20))/(36/30). What is the second biggest value in q, 1/2, y?
q
Let t be 3/((-132)/8)*1. Which is the second smallest value? (a) 2 (b) t (c) -1/6
c
Let l = 33 - 32. Which is the smallest value? (a) l (b) 0.1 (c) 2/27
c
Let o = -0.13 + 0.01. Let k = -0.08 + o. Which is the second smallest value? (a) k (b) -2/9 (c) 0.4
a
Let h = -3.1 - -3. Let f = -0.1 - 0. Let k = h + f. What is the smallest value in -3, -5, k?
-5
Let g = -5.219 - -0.099. Let m = g + 0.12. What is the third biggest value in -6, 2, m?
-6
Let l = 2/183 - -175/732. Let p = 69.4 + -69. Which is the second biggest value? (a) l (b) p (c) -5
a
Let v = 23/120 - 1/15. What is the third biggest value in 1/7, v, 2?
v
Let y = -125/12 + 39/4. Which is the second biggest value? (a) 2/11 (b) 2 (c) y
a
Let m = -0.19 - 4.81. What is the smallest value in 1, m, 2/5?
m
Let c = -23 + 23.1. What is the biggest value in 0.3, 2/3, c?
2/3
Let d = -0.7 + 3.9. Let p = 0.2 - d.
|
{
"pile_set_name": "DM Mathematics"
}
|
p + 50 - 24 = 0. What is the units digit of y(p)?
8
Let l = 724 - 409. What is the tens digit of l?
1
Let p = -47 - -229. What is the units digit of p?
2
Suppose 2 = 3*f + 2*f - 2*o, -5*o = 4*f - 28. Suppose 2*i = -f + 32. What is the tens digit of i?
1
Let x(v) = -v**3 + 4*v**2 - 3*v + 4. Let p be x(3). Let i be p + 0 + (-10 - -9). Suppose 0 = -i*y + 65 - 14. What is the tens digit of y?
1
Let f(l) be the first derivative of l**2 + 9*l + 4. Let m be f(-6). Let a(x) = -3*x + 3. What is the units digit of a(m)?
2
Let b = 255 - 246. What is the units digit of b?
9
Suppose 968 = -7*o + 5644. What is the tens digit of o?
6
Suppose -3*r - 23 = 46. Let q = -203 - r. What is the units digit of (q/27)/(1/(-3))?
0
Let m be 16/2 + (2 - -1). What is the tens digit of (12/(-33))/2 + 706/m?
6
Suppose -3*i - 252 = -3*u - 24, u + 224 = -3*i. Let j = i - -141. What is the tens digit of j?
6
Suppose -4*d - g = 4*g - 252, -2*g = 0. Let b be (22/3)/(14/d). What is the tens digit of 517/b + 2/6?
1
Let l = -764 - -1943. What is the thousands digit of l?
1
Suppose -106 = -3*y + 1367. Suppose 8*i - 205 - y = 0. What is the units digit of i?
7
Let w = 1180 - 190. What is the units digit of w?
0
What is the hundreds digit of (256/8)/(1074/214 - 5)?
7
Suppose 34 = 15*d - 56. Suppose 11*g = d*g + 435. What is the tens digit of g?
8
Suppose 3*n - 15 = -0. Suppose 0 = -4*w - d + 121, -w = -n*w + 5*d + 115. Let p = 47 - w. What is the tens digit of p?
1
Let c(p) = 49*p**3 + 3*p**2 - p - 4. What is the units digit of c(2)?
8
What is the hundreds digit of (-1 + -4 - 4) + 2033?
0
Let q(i) = -i**3 + 9*i**2 - 24*i + 13. Let f(x) = -x**3 + 8*x**2 - 23*x + 13. Let d(k) = -3*f(k) + 4*q(k). What is the units digit of d(9)?
3
Let a = -17 + 18. Let z be (1 - -2 - a) + -2. Suppose -7 = -i - z*i. What is the units digit of i?
7
Let t(f) = 3*f**2 + 9*f - 12. Let z be t(10). Suppose 0*c + z = 7*c. What is the units digit of c?
4
Suppose -5*d + 5058 = 3*i + 218, -2*i = -d + 968. What is the units digit of d?
8
Let n = 49 - 40. Let a = 54 - n. What is the tens digit of a?
4
Let x = 54 + -59. Let o(m) = 6*m**2 + 4*m + 6. What is the tens digit of o(x)?
3
Let g = 840 + -434. What is the units digit of g?
6
Let n be 5/5*16*1. Let o = 17 - n. Suppose -16 = -f - o. What is the tens digit of f?
1
Let r(x) = -x**2 + x + 9. Let c be r(0). Suppose -c*b + 2*b + 714 = 0. What is the hundreds digit of b?
1
Suppose -54 = 2*t - 4*l + 6*l, 2*l + 106 = -4*t. Let j = 14 - t. Suppose -j - 92 = -3*a. What is the units digit of a?
4
What is the hundreds digit of -5*116*114/(-12)?
5
Suppose -2*v = -3*n + 70, -2*n = 2*n - 2*v - 94. Let h = 44 - n. What is the units digit of (16/(-20))/((-2)/h)?
8
Suppose -4*f + 3 = -3*f. Let y(g) = 3*g - 2*g - 5*g**2 + f*g**2 + 11*g**3. What is the tens digit of y(1)?
1
Suppose -3*d - 18 - 42 = -3*v, 94 = -5*d + 3*v. Suppose -w + 6*w + 75 = 0. Let i = w - d. What is the units digit of i?
2
Let v(k) = -k**3 - 4*k**2 + 2*k + k**2 + 6 - 2*k**2 - 5*k. Let t be (2/(-4))/(1/10). What is the units digit of v(t)?
1
Let q(o) = o**3 + 5*o**2 - o - 3. Let s be q(-4). Suppose -2*l - 19 - s = 0. What is the units digit of 21*(-3)/l*2?
7
Suppose 0*w + 2*o = -4*w + 778, 3*w - 3*o = 606. Let k = -119 + w. What is the units digit of k?
8
Let r(v) = v + 22. Let w be r(-16). Suppose 3*l + 234 = w*l. What is the units digit of l?
8
Suppose 5*p = 2*b - 6, 2*p + 14 = 4*b + 2. Suppose 172 = b*u - 227. What is the tens digit of u?
3
Let d be 4/8 + (-70)/(-4). Let b be (6/d)/(2/(-42)). What is the units digit of (-1 + 0)*(-36 + b)?
3
Let d = -32 - -32. Suppose r - 3*u + 5*u - 78 = d, -u = 1. What is the units digit of r?
0
Let o = 860 - 487. What is the units digit of o?
3
Let x(b) be the second derivative of b**5/20 - 11*b**4/12 + 2*b**3 - 11*b**2/2 + 6*b. Let w be x(10). Suppose -w*g + 4*g + 105 = 0. What is the tens digit of g?
2
Let u(r) = -7*r**3 + 10*r**2 + 6*r - 13. Let w(t) = -3*t**3 + 5*t**2 + 3*t - 6. Let y(o) = -2*u(o) + 5*w(o). What is the units digit of y(5)?
1
Let l(r) = r + 26. Let q be l(-11). Suppose 3*i + 3*c = q, 1 = 2*i - i + 5*c. What is the units digit of 4/(-2*(-2)/i)?
6
Suppose 4*a + 7 = 31. Suppose a*s - 3*s = 102. What is the tens digit of s?
3
Let s be 4/(-10) + (-6)/10. Let q = -25 - s. Let h = q - -55. What is the units digit of h?
1
Let d = -10696 + 16469. What is the units digit of d?
3
Suppose -2*v + 3492 = 2*f, -26 = v - 23. What is the thousands digit of f?
1
Let a(y) = 2*y - y + 8*y**2 - y. Let n be 2 - (-2 + 4 - 1). What is the units digit of a(n)?
8
What is the thousands digit of (891/(-108))/(((-15)/1644)/5)?
4
Let v be (-32)/(-56)*(-7)/2. Let s be 1 + 6 + v - 3. Suppose 2*r = -4, -p + s*r = 3*r - 32. What is the tens digit of p?
3
Suppose 0 = -5*s + 3*u - 0 + 18, 4*s = u + 20. What is the units digit of s/36 - 94/(-12)?
8
Let a = -36 + 47. Suppose -6*c + a*c = 160. What is the units digit of c?
2
Let k(z) = -4*z - 60. Let x be k(-18). Suppose 4*f - x*f = -1264. What is the tens digit of f?
5
Suppose -3*y + 6 = -72. Let u = y + -3. What is the units digit of u?
3
Let m(t) = t**3 - 10*t**2 + 13*t - 11. Let f be m(9). What is the units digit of 45/f + (-1)/(-5)?
2
Let j(b) = 2*b + 6. Let w be j(6). Let z = 111 - w. Let n = z + -64. What is the units digit of n?
9
Let f be (-6)/(-16) - (-4506)/16. Let t = f - 91. What is the units digit of t?
1
Let c(f) = f**2 - 3*f + 5. Let o be c(2). Let x(u) = -12*u - 1. Let a(b) = -23*b - 1. Let p(y) = o*a(y) - 5*x(y). What is the units digit of p(-1)?
1
Let a = -2016 - -2969. What is the hundreds digit of a?
9
Let r(s) = s**3 + 37*s**2 + 39*s - 85. What is the hundreds digit of r(-35)?
0
Suppose 198*f + 7134 = 204*f. What is the hundreds digit of f?
1
Suppose -o = -3*g - 3253, g + 6960 = 4*o - 6085. What is the units digit of o?
2
Let p(y) = -y**3 + 13*y**2 - 11*y - 10. Let f be p(12). Suppose 0 = 3*d + 3*v - f*v - 4, 5*v = 4*d - 37. Suppose 0 = g - 6 + d. What is the units digit of g?
3
Suppose -4*m + 4*r = 244, -3*m + 5*r - 109 - 64 = 0. Let c be (18/(-15))/(21/700) - 1. Let b = c - m. What is the tens digit of b?
2
Let w(y) = y**3 + 13*y**2 + 10*y - 10. Let f be w(-12). Suppose -b = 4*g + f, 5*b - 3*b = 4. What is the tens digit of g/(16/(-30))*4?
3
What is the tens digit of (-30)/(-70) - 19235/(-35)?
5
What is the tens digit of (17/(68/(-1880)))/(-2)?
3
Let r = -38 - -58. Suppose -u = -3*k + r, -5*k = -4*u - 42 - 45. Let p = 62 + u. What is the units digit of p?
9
Suppose v - 10 = -5. Suppose v*q + 2*p = 590 + 135, 3*q - 434 = -p. What is the units digit of q?
3
Let n(o) = o**3 + 10*o**2 - 14*o. Let g be n(-11). Suppose -4*a = -3*j - a - g, 0 = 2*j + 3*a + 12. Let q = -6 - j. What is the units digit of q?
3
Suppose -5*y - 1416 = -2*h, 21*y + 3511 = 5*h + 23*y. What is the tens digit of h?
0
Suppose -31056 = -6*y - 18*y. What is the tens digit of y?
9
Let p be ((-72)/(-20))/(2/290). Let v = p + -361. What is the hundreds digit of v?
1
Let r = 20 + -17. Let x(w) = -4*w - 4. Let t be x(r). What is the tens digit of t/(-32) + 50/4?
1
Let b = 6 - 14. What is the units digit of (-2)/3*1044/b?
7
Let d = -1014 + 2553. What is the thousands digit of d?
1
Suppose 3*h - 6*h = 21. Let l(f) = f**2 + 8*f + 5. Let k be l(h). What is the units digit of 12 - -4 - (1 - k)?
3
Suppose 0 = -q + 2*n - 148 + 1167, 3*n = 5*q - 5109. What is the units digit of q?
3
Let a(z) = z**2 + 16*z + 11. Let k be a(-15). What is the units digit of (-2)/k - (-50)/4?
3
Let y be (-66)/(-10) - 2/(-5). Let m = y - 2. What is the units digit of 48/m - 12/(-30)?
0
Let t be (-6)/(-2) + (-5)/(-10)*-18. Let p(f) = -f**3 - 2*f**2 - 7*f - 14. What is the hundreds digit of p(t)?
1
Let c(v) = v**3 + 22*v**2 - 75*v + 59. What is the hundreds digit of c(13)?
9
Let p(x) = -2*x**2 + 18*x + 1. Let l be p(8). Let b(s) = -s**2 + 29*s - 25. What is the tens digit of b(l)?
7
Let d be (-3)/(-2) + (-72)/(-16). Suppose 0 = 3*c - 21 - d. Let t(g) = -g**3 + 9*g**2 + g + 10. What is the tens digit of t(c)?
1
Let b be 0/(-4 - (-3 - 0)). Suppose -24 = 4*u - b. Let c(y) = -y**2 - 10*y - 2. What is the units digit of c(u)?
2
What is the tens digit of (-6)/(-7)*(9 + 50/10)?
1
Let d(a) = a**3 - 16*a**2 - 3*a - 29. Let p be d(13). Let n = p + 844. What is the hundreds digit of n?
2
Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
3*z/5 = 0. Calculate z.
-1, 0, 43
Find x, given that -x**4/4 + 33*x**3/2 - 93*x**2 + 182*x - 120 = 0.
2, 60
Factor 3*n**3 - 15*n**2 + 21*n - 9.
3*(n - 3)*(n - 1)**2
Factor 5*x**3 + 145*x**2 + 370*x - 520.
5*(x - 1)*(x + 4)*(x + 26)
Factor 15*g**3 + 24*g**2 + 9*g.
3*g*(g + 1)*(5*g + 3)
Solve -4*l**2 - 2912*l = 0.
-728, 0
Factor m**3/4 - 27*m/4 + 27/2.
(m - 3)**2*(m + 6)/4
Solve 6*z**5/7 - 2*z**4 - 12*z**3/7 + 24*z**2/7 + 16*z/7 = 0.
-1, -2/3, 0, 2
Factor 21*a**3/2 + 333*a**2 - 96*a.
3*a*(a + 32)*(7*a - 2)/2
Find d, given that -192*d**5/5 - 1776*d**4/5 + 4521*d**3 - 46491*d**2/5 - 12696*d/5 - 816/5 = 0.
-17, -1/8, 4
Factor 7*s**3 + 143*s**2/2 + 127*s + 24.
(s + 2)*(s + 8)*(14*s + 3)/2
Suppose s**3 - 139*s**2 + 410*s - 272 = 0. What is s?
1, 2, 136
Let -2*j**4/11 + 80*j**3/11 - 78*j**2/11 = 0. Calculate j.
0, 1, 39
Find b, given that 4*b**3/3 - 65*b**2 - 83*b - 50/3 = 0.
-1, -1/4, 50
Factor -392*m**3 + 672*m**2 - 330*m + 50.
-2*(m - 1)*(14*m - 5)**2
Factor 2*h**4/7 + 4*h**3 + 50*h**2/7 + 24*h/7.
2*h*(h + 1)**2*(h + 12)/7
Suppose f**2 + 82*f + 1681 = 0. Calculate f.
-41
Determine d so that -2*d**4/7 - 38*d**3/7 - 228*d**2/7 - 512*d/7 - 320/7 = 0.
-10, -4, -1
What is j in -j**3/2 + 259*j**2/2 - 16899*j/2 + 16641/2 = 0?
1, 129
Determine m so that 2*m**2/9 - 24*m + 648 = 0.
54
Factor -i**4/2 - i**3/2 + 3*i**2/2 + i/2 - 1.
-(i - 1)**2*(i + 1)*(i + 2)/2
Factor 2*l**3/7 - 15474*l**2/7 + 29938320*l/7 - 29922848/7.
2*(l - 3868)**2*(l - 1)/7
Factor 3*c**2 + 5*c - 8.
(c - 1)*(3*c + 8)
Let -4*s**5/7 - 16*s**4/7 + 180*s**3/7 + 1280*s**2/7 + 2624*s/7 + 1536/7 = 0. What is s?
-4, -3, -1, 8
Let 201*y**3 - 237*y**2 + 36*y = 0. Calculate y.
0, 12/67, 1
Factor -s**2/9 - 6428*s/9 - 10329796/9.
-(s + 3214)**2/9
Factor 3*k**2 + 291*k - 294.
3*(k - 1)*(k + 98)
What is l in -5*l**2 + 280*l - 540 = 0?
2, 54
Solve -2*r**5/5 + 8*r**4 - 58*r**3 + 180*r**2 - 216*r + 432/5 = 0 for r.
1, 6
Find v, given that v**2/8 + 59*v/2 + 117/2 = 0.
-234, -2
Factor w**2/10 - 2*w + 15/2.
(w - 15)*(w - 5)/10
Factor x**5/2 - 199*x**4/2 + 392*x**3 - 390*x**2.
x**2*(x - 195)*(x - 2)**2/2
Determine a so that -2*a**4/11 - 56*a**3/11 - 486*a**2/11 - 1296*a/11 - 864/11 = 0.
-12, -3, -1
Factor 3*n**2/8 - 15*n/8 + 9/4.
3*(n - 3)*(n - 2)/8
What is l in -l**4/8 + 3*l**3/4 - 9*l**2/8 = 0?
0, 3
Factor -3*r**2/2 - 384*r.
-3*r*(r + 256)/2
Factor 24*v**2/7 - 76*v/7 + 12/7.
4*(v - 3)*(6*v - 1)/7
Let -3*q**5 + 234*q**4 - 219*q**3 - 936*q**2 + 924*q = 0. What is q?
-2, 0, 1, 2, 77
Factor 4*b**3 - 8*b**2 + 4*b.
4*b*(b - 1)**2
Let 2*j**5/17 + 12*j**4/17 - 58*j**3/17 - 12*j**2/17 + 200*j/17 - 144/17 = 0. What is j?
-9, -2, 1, 2
Factor 3*j**2 + 102*j + 192.
3*(j + 2)*(j + 32)
Suppose 4*h**3/7 - 176*h**2/7 - 365*h/7 - 138/7 = 0. Calculate h.
-3/2, -1/2, 46
Solve -21*l**5/10 - 41*l**4/10 + 33*l**3/2 + 73*l**2/2 + 108*l/5 + 18/5 = 0.
-3, -1, -2/3, -2/7, 3
Factor b**4/2 + 3*b**3 - 24*b**2 + 37*b - 33/2.
(b - 3)*(b - 1)**2*(b + 11)/2
Factor -8*c**4/9 + 248*c**3/9 - 934*c**2/3 + 13640*c/9 - 24200/9.
-2*(c - 10)**2*(2*c - 11)**2/9
Factor 9*a**3/2 + 3*a**2 + a/2.
a*(3*a + 1)**2/2
Solve -p**2/10 + 1092*p/5 - 2182/5 = 0.
2, 2182
Find a such that a**2/3 - 49*a/3 + 200 = 0.
24, 25
Factor -5*b**3 - 593*b**2 + 838*b - 240.
-(b - 1)*(b + 120)*(5*b - 2)
What is t in -t**5/2 - 7*t**4 - 18*t**3 - 17*t**2 - 11*t/2 = 0?
-11, -1, 0
Factor y**2 - 2040*y + 1040400.
(y - 1020)**2
Factor 5*a**3 - 120*a**2 + 625*a - 510.
5*(a - 17)*(a - 6)*(a - 1)
Find u such that 2*u**5/13 - 10*u**3/13 + 8*u/13 = 0.
-2, -1, 0, 1, 2
Find m such that 147*m**4/2 + 34671*m**3/2 + 8167491*m**2/8 - 292227*m/2 + 10443/2 = 0.
-118, 1/14
Find h such that -5*h**2 - 1205*h - 1200 = 0.
-240, -1
Factor 3*v**2/4 + 45*v/2 - 378.
3*(v - 12)*(v + 42)/4
Let n**2/3 + 64*n/3 - 44 = 0. What is n?
-66, 2
Factor -3*i**2/7 + 78*i/7 - 360/7.
-3*(i - 20)*(i - 6)/7
Solve -3*h**3 + 9*h**2 - 9*h + 3 = 0.
1
Factor -2*k**2 + 70*k.
-2*k*(k - 35)
Let -a**2/4 + 339*a/2 = 0. Calculate a.
0, 678
Find q, given that -12*q**4 + 324*q**3 - 2847*q**2 + 8910*q - 9075 = 0.
5/2, 11
Suppose c**3/4 - 187*c**2 + 1493*c/4 - 373/2 = 0. Calculate c.
1, 746
Factor 4*u**5 - 128*u**4 - 132*u**3.
4*u**3*(u - 33)*(u + 1)
What is j in -6*j**4/11 + 10*j**3/11 + 2*j**2/11 - 10*j/11 + 4/11 = 0?
-1, 2/3, 1
Let -p**3/2 - 3*p**2 + p/2 + 15 = 0. What is p?
-5, -3, 2
Determine m, given that 4*m**5/3 - 2*m**4 + 2*m**3/3 = 0.
0, 1/2, 1
Factor -4*o**2 + 24*o + 28.
-4*(o - 7)*(o + 1)
Factor -2*p**3/3 - 4*p**2 - 10*p/3 + 8.
-2*(p - 1)*(p + 3)*(p + 4)/3
Factor 15*q**4 + 35*q**3 - 180*q**2 + 100*q.
5*q*(q - 2)*(q + 5)*(3*q - 2)
Factor 4*o**2 + 256*o - 260.
4*(o - 1)*(o + 65)
Determine m so that 3*m**3 + 6*m**2 - 75*m - 150 = 0.
-5, -2, 5
Factor -5*z**2 - 70*z - 120.
-5*(z + 2)*(z + 12)
Let -2*n**5 + 18*n**3 - 8*n**2 - 24*n = 0. Calculate n.
-3, -1, 0, 2
Factor 5*f**3 - 65*f**2 + 240*f - 180.
5*(f - 6)**2*(f - 1)
Solve -3*y**3 + 48*y**2 + 105*y + 54 = 0.
-1, 18
Determine w so that -w**4/4 - 5*w**3/4 - w**2/2 + 5*w + 6 = 0.
-3, -2, 2
Find c, given that -5*c**3 - 35*c**2 + 245*c + 275 = 0.
-11, -1, 5
Find k, given that -k**2/2 - 195*k/2 - 97 = 0.
-194, -1
Factor -5*a**3 - 90*a**2 - 255*a + 350.
-5*(a - 1)*(a + 5)*(a + 14)
Factor 2*y**2/3 - 8*y/3 - 78.
2*(y - 13)*(y + 9)/3
Factor 5*d**3 - 630*d**2 + 19845*d.
5*d*(d - 63)**2
Let 72*a**5/7 + 1586*a**4/7 - 32*a**3/7 - 1674*a**2/7 - 40*a/7 + 88/7 = 0. Calculate a.
-22, -1, -1/4, 2/9, 1
Factor -5*s**2 + 255*s - 2800.
-5*(s - 35)*(s - 16)
Find g, given that g**5 - 41*g**4 + 201*g**3 + 329*g**2 - 490*g = 0.
-2, 0, 1, 7, 35
Factor 3*q**3 + 30*q**2 + 75*q.
3*q*(q + 5)**2
What is j in 5*j**5/4 + 5*j**4/2 - 5*j**3 - 10*j**2 = 0?
-2, 0, 2
Factor 2*v**3/9 + 366*v**2 + 452650*v/3 + 1354658/9.
2*(v + 1)*(v + 823)**2/9
Find m, given that -m**3 + 18*m**2 - 15*m - 34 = 0.
-1, 2, 17
Factor 21*v**3 + 363*v**2 - 4098*v - 1200.
3*(v - 8)*(v + 25)*(7*v + 2)
Determine l so that -2*l**2/11 - 182*l/11 + 184/11 = 0.
-92, 1
What is m in 2*m**5/3 + 26*m**4/3 - 260*m**3/3 - 608*m**2/3 = 0?
-19, -2, 0, 8
Factor -t**3/3 - t**2/3 + 2*t/3.
-t*(t - 1)*(t + 2)/3
Factor -t**2/2 - 507*t/2.
-t*(t + 507)/2
Determine y, given that -2*y**5 - 1370*y**4 - 1368*y**3 = 0.
-684, -1, 0
Factor 2*r**3/5 - 8*r**2/5 - 56*r/5 - 64/5.
2*(r - 8)*(r + 2)**2/5
Determine c, given that 5*c**3 + 65*c**2 + 200*c = 0.
-8, -5, 0
Factor t**2/2 + t - 24.
(t - 6)*(t + 8)/2
Let -5*l**4/4 - 5*l**3 - 25*l**2/4 - 5*l/2 = 0. What is l?
-2, -1, 0
Suppose -c**4/7 + 24*c**3/7 + 1297*c**2/7 - 34620*c/7 + 33300/7 = 0. What is c?
-37, 1, 30
Factor r**3 - 78*r**2 - 241*r - 162.
(r - 81)*(r + 1)*(r + 2)
Let 36*v**5 + 136*v**4 + 4*v**3 - 224*v**2 + 48*v = 0. What is v?
-3, -2, 0, 2/9, 1
Factor t**2/7 + 20*t/7 + 36/7.
(t + 2)*(t + 18)/7
Let q**4/6 - 7*q**3/6 - 4*q**2/3 = 0. Calculate q.
-1, 0, 8
Determine h, given that -3*h**5 + 42*h**4 + 3*h**3 - 42*h**2 = 0.
-1, 0, 1, 14
Suppose -v**2/7 + 18*v/7 - 17/7 = 0. Calculate v.
1, 17
Suppose 4*j**3/7 - 32*j**2/7 + 4*j/7 + 24 = 0. Calculate j.
-2, 3, 7
Find h such that 2*h**5 - 36*h**4 + 156*h**3 + 112*h**2 - 558*h + 324 = 0.
-2, 1, 9
Determine y, given that 2*y**4/9 + 16*y**3/9 + 2*y**2/9 - 28*y/3 = 0.
-7, -3, 0, 2
Solve 4*y**3 - 408*y**2 + 13872*y - 157216 = 0.
34
Suppose -2*v**4 + 464*v**3/5 - 3594*v**2/5 + 4324*v/5 - 1184/5 = 0. Calculate v.
2/5, 1, 8, 37
Find y, given that -2*y**2/17 + 58*y/17 + 984/17 = 0.
-12, 41
Determine z so that -6*z**2/11 + 2148*z/11 - 192246/11 = 0.
179
What is t in -5*t**5 - 65*t**4/2 + 125*t**3 + 100*t**2 - 120*t - 135/2 = 0?
-9, -1, -1/2, 1, 3
Find d, given that -2*d**3 + 4722*d**2 - 3716214*d + 974886806 = 0.
787
Factor 4*v**5 - 40*v**4 + 144*v**3 - 232*v**2 + 172*v - 48.
4*(v - 4)*(v - 3)*(v - 1)**3
Solve 2*a**4/9 - 8*a**3 + 488*a**2/9 + 320*a + 3200/9 = 0.
-2, 20
Let 2*v**3/3 + 262*v**2/3 - 800*v/3 + 536/3 = 0. Calculate v.
-134, 1, 2
Solve -19*k**2/7 + 23*k/7 - 4/7 = 0.
4/19, 1
Let p**5/5 + 8*p**4/5 - 138*p**3/5 + 56*p**2 + 85*p = 0. Calculate p.
-17, -1, 0, 5
Solve -50*b**5/9 - 10*b**4 - 16*b**3/3 - 8*b**2/9 = 0 for b.
-1, -2/5, 0
Factor -2*b**2/5 - 38*b/5 - 96/5.
-2*(b + 3)*(b + 16)/5
Let -3*v**2/4 + 2877*v/4 = 0. What is v?
0, 959
Factor -v**5/5 - 5*v**4 - 47*v**3/5 - 23*v**2/5.
-v**2*(v + 1)**2*(v + 23)/5
Suppose 4*s**3 - 120*s**2 - 532*s - 408 = 0. What is s?
-3, -1, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
o the nearest integer?
75
What is the ninth root of 1298132 to the nearest integer?
5
What is the third root of 1975619 to the nearest integer?
125
What is 644858 to the power of 1/5, to the nearest integer?
15
What is 383185 to the power of 1/6, to the nearest integer?
9
What is the seventh root of 1271358 to the nearest integer?
7
What is the fourth root of 13933214 to the nearest integer?
61
What is the third root of 135231 to the nearest integer?
51
What is the third root of 585638 to the nearest integer?
84
What is the third root of 7313323 to the nearest integer?
194
What is 2787439 to the power of 1/3, to the nearest integer?
141
What is the ninth root of 34610794 to the nearest integer?
7
What is the ninth root of 133290 to the nearest integer?
4
What is 722838 to the power of 1/2, to the nearest integer?
850
What is 2544545 to the power of 1/3, to the nearest integer?
137
What is the ninth root of 70893 to the nearest integer?
3
What is 31152925 to the power of 1/2, to the nearest integer?
5581
What is the third root of 1432572 to the nearest integer?
113
What is 7896949 to the power of 1/3, to the nearest integer?
199
What is 57695 to the power of 1/8, to the nearest integer?
4
What is the sixth root of 208313 to the nearest integer?
8
What is the square root of 30350457 to the nearest integer?
5509
What is the square root of 11362750 to the nearest integer?
3371
What is 1035095 to the power of 1/7, to the nearest integer?
7
What is the square root of 17106976 to the nearest integer?
4136
What is the square root of 545070 to the nearest integer?
738
What is 16321486 to the power of 1/3, to the nearest integer?
254
What is the ninth root of 3132109 to the nearest integer?
5
What is 240536 to the power of 1/7, to the nearest integer?
6
What is the square root of 23336609 to the nearest integer?
4831
What is the square root of 503154 to the nearest integer?
709
What is the tenth root of 231095 to the nearest integer?
3
What is the square root of 1928846 to the nearest integer?
1389
What is the third root of 553663 to the nearest integer?
82
What is the square root of 13383301 to the nearest integer?
3658
What is the seventh root of 865967 to the nearest integer?
7
What is 4057072 to the power of 1/3, to the nearest integer?
159
What is 850405 to the power of 1/3, to the nearest integer?
95
What is the third root of 1899340 to the nearest integer?
124
What is the eighth root of 1334107 to the nearest integer?
6
What is the third root of 252039 to the nearest integer?
63
What is 18465553 to the power of 1/3, to the nearest integer?
264
What is the cube root of 688990 to the nearest integer?
88
What is the fifth root of 3839509 to the nearest integer?
21
What is the square root of 12260932 to the nearest integer?
3502
What is 1340933 to the power of 1/4, to the nearest integer?
34
What is 65508 to the power of 1/3, to the nearest integer?
40
What is the sixth root of 40103 to the nearest integer?
6
What is the eighth root of 5142008 to the nearest integer?
7
What is 19098164 to the power of 1/10, to the nearest integer?
5
What is the cube root of 11003891 to the nearest integer?
222
What is the sixth root of 2617781 to the nearest integer?
12
What is the square root of 1415893 to the nearest integer?
1190
What is the fifth root of 5688669 to the nearest integer?
22
What is the square root of 29977336 to the nearest integer?
5475
What is the square root of 5300641 to the nearest integer?
2302
What is the eighth root of 18297882 to the nearest integer?
8
What is the square root of 199649 to the nearest integer?
447
What is 1959907 to the power of 1/7, to the nearest integer?
8
What is 447481 to the power of 1/10, to the nearest integer?
4
What is 22663133 to the power of 1/3, to the nearest integer?
283
What is the third root of 7952134 to the nearest integer?
200
What is 2870324 to the power of 1/3, to the nearest integer?
142
What is 8933217 to the power of 1/2, to the nearest integer?
2989
What is 149107 to the power of 1/7, to the nearest integer?
5
What is the sixth root of 9724071 to the nearest integer?
15
What is the third root of 1128080 to the nearest integer?
104
What is 916008 to the power of 1/2, to the nearest integer?
957
What is 3522378 to the power of 1/3, to the nearest integer?
152
What is the third root of 1389915 to the nearest integer?
112
What is the ninth root of 31918 to the nearest integer?
3
What is the square root of 404901 to the nearest integer?
636
What is 2825208 to the power of 1/3, to the nearest integer?
141
What is 1131482 to the power of 1/2, to the nearest integer?
1064
What is 23609924 to the power of 1/3, to the nearest integer?
287
What is the seventh root of 2573727 to the nearest integer?
8
What is the seventh root of 758960 to the nearest integer?
7
What is the square root of 6526756 to the nearest integer?
2555
What is the tenth root of 8786931 to the nearest integer?
5
What is 840924 to the power of 1/3, to the nearest integer?
94
What is the third root of 1261020 to the nearest integer?
108
What is 5924383 to the power of 1/2, to the nearest integer?
2434
What is 192682 to the power of 1/3, to the nearest integer?
58
What is 6583625 to the power of 1/2, to the nearest integer?
2566
What is 128294 to the power of 1/3, to the nearest integer?
50
What is the cube root of 197108 to the nearest integer?
58
What is the third root of 38496961 to the nearest integer?
338
What is 254274 to the power of 1/3, to the nearest integer?
63
What is the third root of 3710213 to the nearest integer?
155
What is 9815258 to the power of 1/8, to the nearest integer?
7
What is the cube root of 999894 to the nearest integer?
100
What is the third root of 168055 to the nearest integer?
55
What is the fourth root of 534961 to the nearest integer?
27
What is the ninth root of 241647 to the nearest integer?
4
What is the cube root of 1720978 to the nearest integer?
120
What is 4828411 to the power of 1/2, to the nearest integer?
2197
What is 3791665 to the power of 1/10, to the nearest integer?
5
What is the cube root of 380430 to the nearest integer?
72
What is the sixth root of 2221670 to the nearest integer?
11
What is the fifth root of 17931429 to the nearest integer?
28
What is 172367 to the power of 1/3, to the nearest integer?
56
What is the square root of 556423 to the nearest integer?
746
What is 1149039 to the power of 1/5, to the nearest integer?
16
What is 15126607 to the power of 1/4, to the nearest integer?
62
What is the square root of 12126884 to the nearest integer?
3482
What is the third root of 585256 to the nearest integer?
84
What is the third root of 242427 to the nearest integer?
62
What is the square root of 1942714 to the nearest integer?
1394
What is 533487 to the power of 1/4, to the nearest integer?
27
What is the cube root of 421282 to the nearest integer?
75
What is 1691904 to the power of 1/9, to the nearest integer?
5
What is the cube root of 1229209 to the nearest integer?
107
What is 336346 to the power of 1/8, to the nearest integer?
5
What is the cube root of 81189 to the nearest integer?
43
What is 192751 to the power of 1/2, to the nearest integer?
439
What is the fourth root of 400983 to the nearest integer?
25
What is 168228 to the power of 1/5, to the nearest integer?
11
What is the cube root of 621654 to the nearest integer?
85
What is the tenth root of 13284642 to the nearest integer?
5
What is 362152 to the power of 1/9, to the nearest integer?
4
What is 3817096 to the power of 1/2, to the nearest integer?
1954
What is 2662066 to the power of 1/2, to the nearest integer?
1632
What is 2036118 to the power of 1/3, to the nearest integer?
127
What is 168074 to the power of 1/8, to the nearest integer?
4
What is the fifth root of 4658813 to the nearest integer?
22
What is 10148318 to the power of 1/3, to the nearest integer?
217
What is the fifth root of 159552 to the nearest integer?
11
What is the fourth root of 1752301 to the nearest integer?
36
What is the tenth root of 572787 to the nearest integer?
4
What is 9138753 to the power of 1/2, to the nearest integer?
3023
What is 444882 to the power of 1/2, to the nearest integer?
667
What is 19815421 to the power of 1/8, to the
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*a + 17
What is the r'th term of 52, 107, 164, 223, 284, 347, 412?
r**2 + 52*r - 1
What is the j'th term of -114, -116, -118, -120, -122, -124?
-2*j - 112
What is the d'th term of 85, 163, 243, 331, 433, 555?
d**3 - 5*d**2 + 86*d + 3
What is the a'th term of -598, -625, -640, -637, -610, -553, -460, -325?
a**3 - 34*a - 565
What is the d'th term of -1228, -1231, -1236, -1243, -1252, -1263, -1276?
-d**2 - 1227
What is the y'th term of -15, -50, -105, -180, -275, -390, -525?
-10*y**2 - 5*y
What is the s'th term of -236, -474, -712, -950, -1188?
-238*s + 2
What is the s'th term of -19, -25, -25, -13, 17, 71?
s**3 - 3*s**2 - 4*s - 13
What is the u'th term of -406, -382, -340, -274, -178?
u**3 + 3*u**2 + 8*u - 418
What is the f'th term of 6, 20, 32, 42, 50, 56, 60?
-f**2 + 17*f - 10
What is the j'th term of 61, 101, 129, 139, 125?
-j**3 + 47*j + 15
What is the s'th term of 0, -20, -66, -150, -284, -480, -750?
-2*s**3 - s**2 - 3*s + 6
What is the f'th term of -79, -80, -83, -88?
-f**2 + 2*f - 80
What is the n'th term of 313, 342, 371?
29*n + 284
What is the w'th term of 17, 7, -3?
-10*w + 27
What is the q'th term of -43, -53, -63, -73?
-10*q - 33
What is the w'th term of 53, 100, 145, 188, 229, 268?
-w**2 + 50*w + 4
What is the i'th term of 87, 174, 261, 348?
87*i
What is the j'th term of -147, -325, -503?
-178*j + 31
What is the c'th term of 18, 15, 20, 39, 78, 143, 240, 375?
c**3 - 2*c**2 - 4*c + 23
What is the i'th term of -116, -511, -1180, -2123, -3340, -4831?
-137*i**2 + 16*i + 5
What is the i'th term of -74, -72, -68, -62, -54, -44, -32?
i**2 - i - 74
What is the j'th term of 5, 37, 95, 191, 337, 545, 827?
2*j**3 + j**2 + 15*j - 13
What is the j'th term of -682, -719, -816, -1003, -1310?
-5*j**3 - 2*j - 675
What is the y'th term of 2098, 2076, 2052, 2026, 1998, 1968, 1936?
-y**2 - 19*y + 2118
What is the r'th term of -14, 10, 34, 58?
24*r - 38
What is the i'th term of 49, 215, 489, 871?
54*i**2 + 4*i - 9
What is the b'th term of -11, -44, -113, -230, -407, -656, -989?
-2*b**3 - 6*b**2 - b - 2
What is the s'th term of -71, -139, -207, -275, -343, -411?
-68*s - 3
What is the z'th term of -148, -289, -426, -559?
2*z**2 - 147*z - 3
What is the l'th term of -11, -20, -33, -50, -71, -96?
-2*l**2 - 3*l - 6
What is the d'th term of 92, 170, 248, 326?
78*d + 14
What is the p'th term of -62, -122, -180, -236, -290, -342?
p**2 - 63*p
What is the y'th term of 42, 82, 138, 216, 322, 462?
y**3 + 2*y**2 + 27*y + 12
What is the d'th term of -15, -18, -23, -30, -39, -50?
-d**2 - 14
What is the q'th term of -7, -29, -67, -121, -191, -277, -379?
-8*q**2 + 2*q - 1
What is the u'th term of 5, 31, 77, 143, 229, 335, 461?
10*u**2 - 4*u - 1
What is the z'th term of -50, -111, -180, -263, -366, -495, -656, -855?
-z**3 + 2*z**2 - 60*z + 9
What is the r'th term of 24, 65, 178, 399, 764, 1309, 2070, 3083?
6*r**3 - r + 19
What is the y'th term of 131, 121, 105, 83, 55, 21?
-3*y**2 - y + 135
What is the z'th term of -37, -26, -9, 14, 43, 78?
3*z**2 + 2*z - 42
What is the b'th term of -8, -27, -58, -101?
-6*b**2 - b - 1
What is the g'th term of 4, 6, 4, -8, -36?
-g**3 + 4*g**2 - 3*g + 4
What is the s'th term of 24, 51, 80, 111, 144, 179, 216?
s**2 + 24*s - 1
What is the l'th term of 161, 235, 307, 371, 421, 451?
-l**3 + 5*l**2 + 66*l + 91
What is the m'th term of -20, -18, 10, 64, 144, 250, 382?
13*m**2 - 37*m + 4
What is the l'th term of 76, 54, 30, 4, -24, -54?
-l**2 - 19*l + 96
What is the w'th term of 152, 307, 460, 611?
-w**2 + 158*w - 5
What is the k'th term of 750, 746, 742, 738, 734, 730?
-4*k + 754
What is the x'th term of -146, -133, -124, -119, -118?
-2*x**2 + 19*x - 163
What is the r'th term of -1750, -1754, -1762, -1774?
-2*r**2 + 2*r - 1750
What is the h'th term of 65, 121, 173, 221, 265, 305, 341?
-2*h**2 + 62*h + 5
What is the c'th term of -56, -101, -148, -197?
-c**2 - 42*c - 13
What is the q'th term of -5, -61, -215, -515, -1009, -1745, -2771, -4135?
-8*q**3 - q**2 + 3*q + 1
What is the b'th term of -48, -54, -58, -60, -60, -58, -54?
b**2 - 9*b - 40
What is the l'th term of 83, 85, 89, 95, 103?
l**2 - l + 83
What is the s'th term of 590, 1183, 1776, 2369?
593*s - 3
What is the t'th term of 22175, 22184, 22207, 22250, 22319, 22420, 22559, 22742?
t**3 + t**2 - t + 22174
What is the p'th term of -38, -138, -298, -518, -798, -1138, -1538?
-30*p**2 - 10*p + 2
What is the b'th term of -22, 2, 62, 170, 338, 578, 902?
2*b**3 + 6*b**2 - 8*b - 22
What is the r'th term of -35, 47, 263, 679, 1361?
11*r**3 + r**2 + 2*r - 49
What is the b'th term of -697, -699, -701?
-2*b - 695
What is the v'th term of 30, 81, 160, 273, 426?
v**3 + 8*v**2 + 20*v + 1
What is the w'th term of 89, 77, 65, 53?
-12*w + 101
What is the q'th term of -138, -133, -128?
5*q - 143
What is the n'th term of 36, 40, 54, 84, 136, 216, 330?
n**3 - n**2 + 36
What is the l'th term of 15, 26, 33, 30, 11, -30, -99?
-l**3 + 4*l**2 + 6*l + 6
What is the u'th term of -371, -364, -343, -302, -235, -136, 1, 182?
u**3 + u**2 - 3*u - 370
What is the s'th term of 117, 239, 361, 483, 605?
122*s - 5
What is the b'th term of 528, 533, 540, 549, 560, 573?
b**2 + 2*b + 525
What is the x'th term of 11, 12, 21, 44, 87, 156, 257?
x**3 - 2*x**2 + 12
What is the g'th term of 191, 212, 233?
21*g + 170
What is the u'th term of 66, 103, 156, 219, 286?
-u**3 + 14*u**2 + 2*u + 51
What is the c'th term of -139, -136, -131, -124?
c**2 - 140
What is the i'th term of 179, 178, 175, 170, 163?
-i**2 + 2*i + 178
What is the f'th term of -2, 32, 66?
34*f - 36
What is the h'th term of 2543, 2547, 2551?
4*h + 2539
What is the a'th term of 7778, 7777, 7776, 7775?
-a + 7779
What is the u'th term of 169, 299, 503, 775, 1109, 1499?
-u**3 + 43*u**2 + 8*u + 119
What is the y'th term of 83, 154, 223, 290, 355, 418?
-y**2 + 74*y + 10
What is the x'th term of 18, -4, -40, -96, -178, -292, -444?
-x**3 - x**2 - 12*x + 32
What is the u'th term of 513, 1200, 1899, 2616, 3357, 4128?
u**3 + 680*u - 168
What is the x'th term of 30, 127, 298, 549, 886?
x**3 + 31*x**2 - 3*x + 1
What is the m'th term of 12, 16, 18, 18, 16, 12, 6?
-m**2 + 7*m + 6
What is the b'th term of -21, -21, -9, 21, 75, 159, 279, 441?
b**3 - 7*b - 15
What is the j'th term of 119, 148, 179, 212, 247?
j**2 + 26*j + 92
What is the a'th term of 4229, 8460, 12691, 16922?
4231*a - 2
What is the y'th term of 3, 18, 45, 84?
6*y**2 - 3*y
What is the y'th term of -17, -55, -117, -203, -313?
-12*y**2 - 2*y - 3
What is the l'th term of 1602, 1603, 1604?
l + 1601
What is the f'th term of -87, -753, -2571, -6117, -11967?
-96*f**3 + 6*f + 3
What is the u'th term of 55, 53, 55, 61, 71, 85?
2*u**2 - 8*u + 61
What is the a'th term of 23, 47, 71, 95, 119?
24*a - 1
What is the o'th term of 128, 258, 388, 518, 648, 778?
130*o - 2
What is the c'th term of 32, 66, 114, 182, 276?
c**3 + c**2 + 24*c + 6
What is the t'th term of 40, 37, 30, 19?
-2*t**2 + 3*t + 39
What is the j'th term of -4209, -8411, -12601, -16773, -20921, -25039, -29121, -33161?
j**3 - 4209*j - 1
What is the h'th term of -644, -630, -592, -518, -396, -214?
2*h**3 - 646
What is the z'th term of 55, 70, 75, 64, 31?
-z**3 + z**2 + 19*z + 36
What is the i'th term of -112, -167, -214, -253, -284, -307?
4*i**2 - 67*i - 49
What is the f'th term of 25, 90, 211, 400, 669, 1030, 1495?
2*f**3 + 16*f**2 + 3*f + 4
What is the t'th term of -30, -21, -12, -3?
9*t - 39
What is the a'th term of -304, -604, -906, -1210, -1516, -1824?
-a**2 - 297*a - 6
What is the u'th term of -763, -762, -761, -760, -759?
u - 764
What is the s'th term of -7, 2, 11, 20, 29?
9*s - 16
What is the q'th term of 56, 106, 156?
50*q + 6
What is the t'th term of -466, -464, -462?
2*t - 468
What is the y'th term of 7, 54, 131, 238, 375, 542, 739?
15*y**2 + 2*y - 10
What is the i'th term of -69, -172, -341, -582, -901, -1304, -1797?
-i**3 - 27*i**2 - 15*i - 26
What is the v'th term of -6587, -6584, -6581?
3*v - 6590
What is the q'th term of -651, -650, -649, -648, -647, -646?
q - 652
What is the j'th term of 16, 31, 40, 43, 40, 31, 16?
-3*j**2 + 24*j - 5
What is the a'th term of -26, -87, -202, -383, -642, -991?
-2*a**3 - 15*a**2 - 2*a - 7
What is the n'th term of -6169, -12340, -18511, -24682?
-6171*n + 2
What is the f'th term of 111, 103, 83, 45, -17, -109?
-f**3 - f + 113
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
82866721752/7 = 0?
-23349, -76
Factor 36*x**3 - 5266078*x**2 + 192580253040*x + 10698919200.
2*(x - 73140)**2*(18*x + 1)
Determine u so that 14*u**4/5 - 401952*u**3/5 - 11320366*u**2/5 - 80468808*u/5 - 11265688/5 = 0.
-14, -1/7, 28739
Factor -4*n**4 + 221908*n**3 + 19551136*n**2 + 430295360*n.
-4*n*(n - 55565)*(n + 44)**2
What is z in 5*z**5/6 + 1169*z**4/3 + 199955*z**3/6 + 2884163*z**2/3 + 24606208*z/3 + 46183280/3 = 0?
-367, -44, -10, -13/5
Factor 244*y**3/3 + 330368*y**2/3 - 10832*y/3.
4*y*(y + 1354)*(61*y - 2)/3
Solve v**5/5 + 19*v**4/5 - 1923*v**3/5 - 6067*v**2/5 + 19226*v/5 + 47064/5 = 0 for v.
-53, -4, -2, 3, 37
What is o in -2*o**4 + 23558*o**3 + 212252*o**2 - 801632*o + 565824 = 0?
-12, 1, 2, 11788
What is l in -4*l**3 - 5778328*l**2 - 23113248*l = 0?
-1444578, -4, 0
Factor t**2/7 - 153772424*t/7 + 5911489595708944/7.
(t - 76886212)**2/7
Determine r so that -14*r**3/3 + 335096*r**2 - 11344018*r/3 + 9764120 = 0.
4, 51/7, 71795
What is a in a**4/2 + 469581*a**3 + 220509133029*a**2/2 + 661514720454*a + 992265741378 = 0?
-469578, -3
Solve 4*b**5 + 12587540*b**4 + 13203956027844*b**3 + 4617005291990093916*b**2 + 120033211938704394408*b = 0 for b.
-1048953, -26, 0
Factor -5*l**2 + 68635*l - 216222210.
-5*(l - 8829)*(l - 4898)
Determine x, given that -x**3/3 + 15334*x**2/3 + 1602848*x/3 + 13914784 = 0.
-52, 15438
Solve -9234*d**5 + 3608145*d**4/2 + 1591179*d**3 - 609201*d**2/2 - 73053*d + 9420 = 0 for d.
-1, -4/19, 1/9, 2/9, 785/4
Factor -2*b**2/15 - 594818*b/3 - 11896328/15.
-2*(b + 4)*(b + 1487041)/15
Solve -5*j**2 - 1225250*j - 1225245 = 0 for j.
-245049, -1
What is x in -x**3 + 1527*x**2 + 159349*x - 160875 = 0?
-99, 1, 1625
Find c, given that 450*c**4 - 552180*c**3 + 168282458*c**2 + 679770392*c + 681986312 = 0.
-2, 9233/15
Determine c, given that 4*c**5 + 768*c**4 + 3200*c**3 - 102680*c**2 - 319044*c - 213928 = 0.
-187, -13, -2, -1, 11
Factor -a**3/4 + 137375*a**2/4 + 13469953*a/4 + 330072673/4.
-(a - 137473)*(a + 49)**2/4
Find m such that -5*m**4 + 13725*m**3 - 9848670*m**2 + 582685600*m + 592548000 = 0.
-1, 66, 1340
Determine z so that -2*z**4/13 + 46116*z**3/13 + 46146*z**2/13 - 645604*z/13 - 1106832/13 = 0.
-3, -2, 4, 23059
Let 2*w**5/15 + 5972*w**4/15 - 5982*w**3/5 - 35852*w**2/15 + 47824*w/15 = 0. Calculate w.
-2989, -2, 0, 1, 4
Find r such that -2*r**3 - 18956080*r**2 - 44916640076874*r - 89833204329444 = 0.
-4739019, -2
Solve -3*w**4 - 144564*w**3 + 144573*w**2 + 289134*w = 0.
-48189, -1, 0, 2
Solve -4*o**3 + 11060*o**2 + 584528*o + 3966336 = 0.
-44, -8, 2817
What is u in -2*u**4/13 - 16*u**3/13 + 5754*u**2/13 - 76896*u/13 - 13608 = 0?
-63, -2, 18, 39
Factor 4*x**3/5 + 102600108*x**2/5 + 205200204*x/5 + 20520020.
4*(x + 1)**2*(x + 25650025)/5
Find n, given that -4*n**4/9 - 12353*n**3/3 - 84347386*n**2/9 + 2309257472*n/3 + 19688480768/9 = 0.
-4672, -11/4, 82
Find g, given that 4*g**5 + 9876*g**4 + 29580*g**3 - 29620*g**2 - 69024*g + 59184 = 0.
-2466, -3, -2, 1
Factor -3*z**2/2 - 37776855*z/2 - 75553686.
-3*(z + 4)*(z + 12592281)/2
Factor q**3/6 - 139835*q**2/2 + 559332*q - 3355976/3.
(q - 419497)*(q - 4)**2/6
Let -7*r**5/9 - 104*r**4/3 - 683*r**3/3 - 3208*r**2/9 + 592*r/3 = 0. What is r?
-37, -4, 0, 3/7
Factor -980*p**2 + 317536*p - 5184.
-4*(p - 324)*(245*p - 4)
Factor 2*t**3/3 - 1314392*t**2/3 - 28917350*t/3 - 159046756/3.
2*(t - 657218)*(t + 11)**2/3
Suppose -u**3/10 - 36757*u**2/10 - 338777811*u/10 - 3704351211/2 = 0. What is u?
-18351, -55
Factor p**4/3 - 11752340*p**3/3 + 34529373868900*p**2/3.
p**2*(p - 5876170)**2/3
Solve -22739*j**3/5 + 15144172*j**2/5 + 3033649*j + 1334/5 = 0.
-1, -2/22739, 667
Suppose 18*r**2/7 + 17055320*r/7 - 3790072/7 = 0. Calculate r.
-947518, 2/9
Factor 5*s**4 + 27950*s**3 + 1222540*s**2 + 13421320*s.
5*s*(s + 22)**2*(s + 5546)
Suppose t**3/5 + 45512*t**2/5 + 636796*t/5 - 8007648/5 = 0. What is t?
-45498, -22, 8
Let 3*v**3/5 - 19944*v**2/5 + 1517901*v/5 = 0. What is v?
0, 77, 6571
Determine r so that -2*r**3 - 37684*r**2 + 829936*r - 1509120 = 0.
-18864, 2, 20
Factor -4*f**2 + 685860*f - 328973216.
-4*(f - 170984)*(f - 481)
Factor 4*f**3 + 178472*f**2 + 1945582384*f - 1013655821088.
4*(f - 498)*(f + 22558)**2
Let 4*h**2 - 432840*h - 16886844 = 0. What is h?
-39, 108249
Suppose -4*x**3/7 - 10664*x**2/7 + 4615260*x/7 - 464817600/7 = 0. What is x?
-3056, 195
Determine d so that -7389*d**5 - 95712*d**4 - 328020*d**3 + 200250*d**2 + 1838625*d - 86250 = 0.
-5, 115/2463, 2
Determine i so that 4*i**4 - 68*i**3 - 42672*i**2 + 1665232*i - 3159296 = 0.
-112, 2, 41, 86
Factor -5*g**2 + 274805*g + 534892630.
-5*(g - 56843)*(g + 1882)
Determine h so that -4*h**3/7 - 54952*h**2/7 - 29618556*h - 124422274944/7 = 0.
-6501, -736
Find j, given that 34739236*j**3 + 139074824*j**2 + 471620*j + 400 = 0.
-4, -5/2947
Solve -2*h**4/9 - 44792*h**3/3 - 902174720*h**2/3 - 8285205299200*h/9 + 55351038705664000/3 = 0 for h.
-24320, 5772
Factor -4*r**3 - 14180*r**2 + 4514664*r.
-4*r*(r - 294)*(r + 3839)
Suppose 35*c**4 - 535580*c**3 + 11382945*c**2 + 21393860*c - 7029260 = 0. What is c?
-2, 2/7, 23, 15281
Solve 12*v**4/5 + 666826*v**3/5 + 555572*v**2/5 - 6001434*v/5 - 1000224 = 0 for v.
-55568, -3, -5/6, 3
Factor -3*z**2/2 - 275356722*z - 12636887391764214.
-3*(z + 91785574)**2/2
What is u in -4*u**5 + 30112*u**4 + 2556020*u**3 + 12268000*u**2 + 19363664*u + 9621568 = 0?
-79, -2, -1, 7612
Solve 4*j**2 - 203289776*j + 2582920814133136 = 0.
25411222
Factor -3*f**2/7 - 15213192*f/7 - 121705344/7.
-3*(f + 8)*(f + 5071056)/7
Factor -2*w**3/11 - 1089862*w**2/11 - 45771558*w/11 - 480592098/11.
-2*(w + 21)**2*(w + 544889)/11
Suppose -3*v**3/4 + 3569769*v**2/2 + 21418695*v + 64256166 = 0. What is v?
-6, 2379858
Solve -4*t**2/5 + 1995476*t/5 + 3990968/5 = 0 for t.
-2, 498871
Let 8*j**2 + 2844238*j/7 - 116092 = 0. Calculate j.
-203161/4, 2/7
Factor -6*a**2 + 120008992*a + 120008998.
-2*(a + 1)*(3*a - 60004499)
Let 2*a**5/3 - 622*a**4/3 + 53012*a**3/3 - 922232*a**2/3 + 4929040*a/3 - 4059200/3 = 0. Calculate a.
1, 10, 118, 172
Find o such that -4*o**3 - 2955312*o**2 - 579125904*o - 28375286912 = 0.
-738632, -98
Find r such that -2*r**5/5 + 1666622*r**4/5 - 347201111414*r**3/5 - 1041618333894*r**2/5 = 0.
-3, 0, 416657
Factor -2*f**2/5 + 2933552*f/5 - 1075715917088/5.
-2*(f - 733388)**2/5
What is k in 2*k**4 - 3108*k**3 + 85694*k**2 - 363372*k + 280784 = 0?
1, 4, 23, 1526
Solve -4*z**3 + 8220*z**2 + 241744*z = 0 for z.
-29, 0, 2084
Suppose -g**2/2 + 2898672*g - 4201149681792 = 0. What is g?
2898672
Determine d so that -d**2/4 - 3264101*d/4 + 5712189 = 0.
-3264108, 7
Factor x**3/2 + 7944851*x**2/2 - 15889710*x.
x*(x - 4)*(x + 7944855)/2
Let 4*k**2 - 10888*k + 6381088 = 0. What is k?
854, 1868
Suppose -c**4/2 - 2491*c**3/2 + 119195*c**2/2 - 230913*c/2 + 57105 = 0. What is c?
-2538, 1, 45
Let -19*a**5/4 - 691*a**4/4 - 2057*a**3/4 + 1843*a**2/4 + 231*a = 0. What is a?
-33, -4, -7/19, 0, 1
Determine k, given that k**4/3 - 3488*k**3/3 + 34808*k**2/3 - 97408*k/3 + 27824 = 0.
2, 6, 3478
Let 2*q**4 + 1056*q**3 + 69454*q**2 = 0. What is q?
-451, -77, 0
Solve -t**5/4 - 637*t**4/4 - 118815*t**3/4 - 5483619*t**2/4 - 15338160*t - 13996800 = 0.
-288, -45, -15, -1
Solve 2*o**4/5 - 21852*o**3/5 + 86151186*o**2/5 - 144564353424*o/5 + 87532644269088/5 = 0.
1812, 3651
Factor -2*x**2/7 - 223254*x/7 - 24828832.
-2*(x + 784)*(x + 110843)/7
Determine r so that 3*r**5/2 + 1545*r**4 + 19839*r**3 + 6924*r**2 - 1435329*r/2 - 2242485 = 0.
-1017, -7, -5, 6
Determine o, given that 2*o**5/11 - 222*o**4/11 - 962*o**3/11 + 364630*o**2/11 + 1462800*o/11 + 133000 = 0.
-35, -2, 55, 95
Find t such that -3*t**4 + 316113*t**3/2 - 1027248*t**2 + 790167*t/2 + 474111 = 0.
-1/2, 1, 6, 52679
Find s such that -5*s**4 - 87880*s**3 + 263985*s**2 + 5274200*s + 8789500 = 0.
-17579, -5, -2, 10
Factor -4*b**4 - 47689468*b**3 - 189523795740072*b**2 - 251063688407207506000*b - 251063498883459455392.
-4*(b + 1)*(b + 3974122)**3
Factor j**4 + 1019*j**3 + 340025*j**2 + 36528325*j - 231632250.
(j - 6)*(j + 305)**2*(j + 415)
Solve 3*l**3 + 6890739*l**2 + 3956853551805*l - 3956860442547 = 0.
-1148457, 1
Factor 104*m**3 - 7007876*m**2 + 118051646816*m + 68109051840.
4*(m - 33692)**2*(26*m + 15)
Factor k**3/4 - 647*k**2/4 - 14601*k/4 - 78273/4.
(k - 669)*(k + 9)*(k + 13)/4
Solve 5*p**3 + 1857650*
|
{
"pile_set_name": "DM Mathematics"
}
|
5 for g.
-5
Solve 235 - 335 = -14*w + 208 for w.
22
Solve 160*p + 7 + 15 = 182*p for p.
1
Solve -528*p = -538*p + 70 for p.
7
Solve -347*a + 1679 = -750 for a.
7
Solve -17*d + 49*d - 104 = 56 for d.
5
Solve -14*n + 64*n + 84 = 29*n for n.
-4
Solve 96525*r = 96535*r for r.
0
Solve -289*k - 784 = 3840 for k.
-16
Solve 7*t - 12953 = -12876 for t.
11
Solve 73*g + 94 + 254 = 15*g for g.
-6
Solve 0 = -167*h + 163 - 1165 for h.
-6
Solve -10*b = 177 + 329 - 156 for b.
-35
Solve -477*z - 855 = -890*z + 508*z for z.
-9
Solve -15*y - 9*y + 3*y = -210 for y.
10
Solve 0 = d - 289 + 300 for d.
-11
Solve 18 = 19*o - 224 - 138 for o.
20
Solve 45 - 12 = -20*j - 107 for j.
-7
Solve 1396*g + 3381 - 589 = 0 for g.
-2
Solve 431*f - 21 - 31 = 418*f for f.
4
Solve -2126*o + 902*o = -11016 for o.
9
Solve 0 = 79*z + 8 + 308 for z.
-4
Solve 431 = 37*s + 98 for s.
9
Solve -7*d = 35*d + 17*d + 413 for d.
-7
Solve -411*g + 3861 = 18*g for g.
9
Solve 29 + 35 = -80*w - 16 for w.
-1
Solve -13086 = -1249*x - 50556 for x.
-30
Solve -27*q = -54*q + 32*q - 65 for q.
13
Solve 0 = -66*h + 68 - 134 for h.
-1
Solve 205*q - 235*q - 180 = 0 for q.
-6
Solve 0 = -718*q + 726*q - 104 for q.
13
Solve 9*a + 80 = 6*a - 5*a for a.
-10
Solve 9838 + 2955 = 264*p + 3553 for p.
35
Solve 6*q = -269 + 293 for q.
4
Solve 159*a + 1138 + 1570 = -313 for a.
-19
Solve 6*d + 390 = 438 for d.
8
Solve -221 = -11231*x + 11248*x for x.
-13
Solve -99 = 14*o - 54 + 53 for o.
-7
Solve -136*q + 499*q = -5082 for q.
-14
Solve 35*x - 161 = -302 - 244 for x.
-11
Solve 154*v - 289 = 30*v - 41 for v.
2
Solve -1090 = -265*v - 502 + 2327 for v.
11
Solve 103*g = 1586 + 1504 for g.
30
Solve -162*k + 224 = -190*k for k.
-8
Solve -34*i = 117431 - 118417 for i.
29
Solve -47*o + 157*o + 136*o = -492 for o.
-2
Solve 611 = 251*m - 271 + 129 for m.
3
Solve -5*u + 62 = -17 - 31 for u.
22
Solve 9*y = -2*y - 13*y - 120 for y.
-5
Solve 442*q - 452*q + 120 = 0 for q.
12
Solve 1578 = 203*j + 1380 + 5476 for j.
-26
Solve -640*b = -648*b - 224 for b.
-28
Solve 96*d + 98 = 1058 for d.
10
Solve -145 + 1913 = -136*y for y.
-13
Solve -35*u + 192 = 37*u - 56*u for u.
12
Solve -1635*x = -1628*x - 105 for x.
15
Solve -81*t - 12*t - 9*t = 0 for t.
0
Solve 970*q - 571*q = 12369 for q.
31
Solve 0 = 86922*y - 86867*y + 1595 for y.
-29
Solve -87*x - 2361 = -618 + 519 for x.
-26
Solve -62 = 13*r - 36 for r.
-2
Solve 29*m = 42*m + 231 + 29 for m.
-20
Solve -44*o + 6096 = 6932 for o.
-19
Solve 0 = -14*v - 26*v - 2*v - 294 for v.
-7
Solve 1154 - 643 = 340*f - 1529 for f.
6
Solve -25*s - 10*s = 29 + 216 for s.
-7
Solve 3*f + 142 = 172 for f.
10
Solve 10*m + 23*m - 702 = -6*m for m.
18
Solve 0 = 31*s - 17*s + 89*s - 927 for s.
9
Solve -18*p + 214 = -181 + 71 for p.
18
Solve 78215 = -6*x + 78155 for x.
-10
Solve -102*q + 491*q + 755 - 10091 = 0 for q.
24
Solve 35*m + 3893 - 3613 = 0 for m.
-8
Solve -814 = -22*f - 38*f - 94 for f.
12
Solve -2*d + 1773 - 1757 = -4*d for d.
-8
Solve 874 + 1178 = -513*a for a.
-4
Solve 107*s - 3088 = 54*s - 140*s for s.
16
Solve 0 = -2515653*v + 2515674*v - 420 for v.
20
Solve 314 = -7*d + 152*d - 266 for d.
4
Solve 373*f - 140 = 345*f for f.
5
Solve -56*h = 88 - 32 for h.
-1
Solve 53 = -29*q - 69 - 284 for q.
-14
Solve 15*y - 4 = -11 - 8 for y.
-1
Solve -1107 + 260 = 33*w + 44*w for w.
-11
Solve -1516 - 156 = 134*q - 332 for q.
-10
Solve 49 = 54*i - 5 for i.
1
Solve -10648*j + 11 + 1 = -10636*j for j.
1
Solve 20*r - 639 + 449 = -18*r for r.
5
Solve 9*c - 59 = -140 for c.
-9
Solve -98*q - 764 + 197 = -35*q for q.
-9
Solve -676*f - 10028 - 12130 - 2178 = 0 for f.
-36
Solve 90*n + 120 = 120*n for n.
4
Solve -107*c - 22*c + 49*c = 127*c for c.
0
Solve -18*u + 285 = 49*u - 10*u for u.
5
Solve -185*h + 1059 = 40*h - 1641 for h.
12
Solve 1882 = 477*p - 621*p - 1574 for p.
-24
Solve -603*j = -585*j + 144 for j.
-8
Solve 0 = -612*s + 559*s + 848 for s.
16
Solve 12 - 60 = 8*s for s.
-6
Solve -197142*i + 197166*i = 504 for i.
21
Solve 647 = 185*f - 5643 for f.
34
Solve -397*x - 536*x + 20250 = 417*x for x.
15
Solve -405 = 5390*c - 5363*c for c.
-15
Solve 29*t = -145*t + 2784 for t.
16
Solve 472 - 1294 = -137*u for u.
6
Solve -350*b = 3962 + 3738 for b.
-22
Solve 1369 = 51*w + 757 for w.
12
Solve 0 = 37*s - 877 + 877 for s.
0
Solve -596*i - 499*i = -821*i + 6576 for i.
-24
Solve 150*d + 459 - 1809 = 0 for d.
9
Solve -6*d + 506 = 40*d for d.
11
Solve 10764 = 705*l - 8271 for l.
27
Solve -368*y - 5306 = -1052 + 2738 for y.
-19
Solve -10*g - 80 + 223 - 83 = 0 for g.
6
Solve -293*c = 5123 + 1030 for c.
-21
Solve 5152 = -137*o + 33*o - 80*o for o.
-28
Solve 27*h + 56*h = -1328 for h.
-16
Solve 0 = 343*g - 394*g + 1 - 1 for g.
0
Solve 51*w + 84 = -791 - 43 for w.
-18
Solve -423*b + 2 = -408*b + 2 for b.
0
Solve -l - 137 = 4*l - 187 for l.
10
Solve 0 = 7*r - 24*r + 33 + 188 for r.
13
Solve 866*s + 9215 = 381*s for s.
-19
Solve -112 = 3305*c - 3313*c for c.
14
Solve 240 = 512*n - 542*n for n.
-8
Solve 948*g = 800*g + 2516 for g.
17
Solve 531 = -1852*j + 1823*j + 38 for j.
-17
Solve 42*j = 488 - 69 + 211 for j.
15
Solve 599 = 40*j + 1719 for j.
-28
Solve 0 = 141*c - 215*c + 518 for c.
7
Solve i - 4286 + 4275 = 0 for i.
11
Solve 108*l + 633 + 727 = 388 for l.
-9
Solve -535 + 76 = -8*l + 25*l for l.
-27
Solve 0 = 174*t - 1397 - 691 for t.
12
Solve -99*r + 30*r + 1232 = 85*r for r.
8
Solve 529*v - 1067*v = -530*v - 176 for v.
22
Solve -12*f + 74 - 399 + 169 = 0 for f.
-13
Solve -38*k = -64*k + 260 for k.
10
Solve 671*k - 2172 = 2047 + 10543 for k.
22
Solve -99*b - 788 = 400 for b.
-12
Solve 36*f - 40 + 436 = 0 for f.
-11
Solve 185*k = 182*k - 6 for k.
-2
Solve 244*w = 136*w + 303 + 1533 for w.
17
Solve 227*d + 497 + 184 = 0 for d.
-3
Solve -25603 + 26683 = 30*u for u.
36
Solve 747 = 37*u + 1006 for u.
-7
Solve -327 + 191 - 574 = 71*t for t.
-10
Solve 0 = -10*b - 107*b - 67*b - 3680 for b.
-20
Solve -16*b + 6*b - 6*b = -96 for b.
6
Solve -952*w = -455*w - 410*w + 2001 for w.
-23
Solve 886 = 671*h - 3811 for h.
7
Solve 0 = -641*n - 511*n + 16128 for n.
14
Solve 36396 - 36738 = -19*a for a.
18
Solve 143*n + 6*n + 11628 = -193*n for n.
-34
Solve -455*p - 6175 = 710 - 60 for p.
-15
Solve 561*z = 625*z + 846 + 370 for z.
-19
Solve -404*t + 5896 = -6628 for t.
31
Solve -67085*g = -67077*g + 144 for g.
-18
Solve -127 + 31 = -7*k + 16 for k.
16
Solve i + 6*i = -6*i + 156 for i.
12
Solve -2337 = 169*i + 4104 - 695 for i.
-34
Solve -130*w = 73*w + 4060 for w.
-20
Solve -44*f + 33 - 6 = -17*f for f.
1
Solve 8930 = 9098*z - 9333*z for z.
-38
Solve 126*q = -42 + 1518 + 288 for q.
14
Solve 26*t - 30 + 494 = -4 for t.
-18
Solve 113*q - 217*q - 84 = -132*q for q.
3
Solve -2363*u + 2325*u - 318 = 252 for u.
-15
Solve 959 = 94*r + 295*r - 12656 for r.
35
Solve -56 = -1070*c + 1098*c for c.
-2
Solve -5*y + 7*y - 48 = 6*y for y.
-12
Solve -138*y + 78*y + 78*y + 342 = 0 for y.
-19
Solve 8225*p - 300 = 8200*p for p.
12
Solve -14*z + 32*z + 18 = 0 for z.
-1
Solve 215*h - 5280 = -103*h - 1464 for h.
12
Solve 1714975 - 1714852 = 41*a for a.
3
Solve -258 + 20 = 109*d - 2636 for d.
22
Solve -12*f = -11 - 157 for f.
14
Solve 2*h = -3*h + 18*h - 169 for h.
13
Solve -101*o = 71731 - 70822 for o.
-9
Solve 0 = -742*k + 285*k - 14167 for k.
-31
Solve 186*w - 922 - 1701 - 353 = 0 for w.
16
Solve -43*z + 703 = 57*z + 103 for z.
6
Solve 6750 = -241*n + 8919 for n.
9
Solve 14*i = -62*i + 15*i + 1037 for i.
17
Solve -885 = -126*n - 2901 for n.
-16
Solve 0 = 1337*o - 1283*o - 432 for o.
8
Solve 14*q = -137 + 286 + 201 for q.
25
Solve 110*a - 329 + 1923 = -496 for a.
-19
Solve -357*l = -330*l - 243 for l.
9
Solve -117*i - 123*i + 1667 = -13 for i.
7
Solve -277*w + 113 = 3481 + 233 for w.
-13
Solve 6*u + 540 = 96*u for u.
6
Solve -55*c = -42*c - 39*c + 156 for c.
6
Solve 491 = -95*v + 1251 for v.
8
Solve -1 + 1 = -32*g - 28*g for g.
0
Solve -58*b - 972 = -261*b + 95*b for b.
9
Solve -6*r = -24*r + 19*r - 6 for r.
6
Solve -42*o = -4*o + 13*o + 561 for o.
-11
Solve 0 = 80*w - 2473 + 5513 for w.
-38
Solve -801 = -83*w + 146 + 713 for w.
20
Solve 343*h = 352*h - 108 for h.
12
Solve 4*p = -32*p - 187*p - 3122 for p.
-14
Solve -47*l + 531 = 12*l for l.
9
Solve 3*t = -45 + 9 for t.
-12
Solve 36*v + 54157 = 54553 for v.
11
Solve 6 = 102*x - 107*x - 49 for x.
-11
Solve -50*z - 1604 + 524 = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
0*v - 36 = -24*v. Is 10 a factor of ((-126)/(v - 3))/(2/4)?
False
Let q(k) = k**2 + 3*k - 18. Let w be q(-12). Let r(p) = 11*p - 1. Let b be r(5). Let g = w - b. Does 12 divide g?
True
Let z be 4*((-3)/(-1))/(-3). Let g be 17 - 7/(14/z). Is 1/(-6) - g/(-6) even?
False
Suppose 8*f = -m + 3*f - 35, m - 3*f = -11. Let s be ((-24)/m)/((-6)/(-20)). Suppose -4*p + 81 = 5*r, -2*p = s*r - 0*r - 48. Does 14 divide p?
True
Suppose -125*g = -105*g - 46860. Is 12 a factor of g?
False
Suppose 535 = l - 3*a, 1360 = 3*l + a - 245. Does 61 divide l?
False
Let b(l) be the third derivative of 15*l**4/8 - 2*l**2. Is b(1) a multiple of 9?
True
Let w = 8 + -10. Is 4*w/4*-8 a multiple of 16?
True
Suppose k = -5*z + 13, 4*z - k + 0*k = 14. Suppose -4*q + 4*g = z - 7, 5*g = -5. Suppose 2*u + 3*u - 25 = q. Is 3 a factor of u?
False
Suppose -8*d = 2*d - 16200. Suppose 0 = 8*o - 18*o + d. Is 27 a factor of o?
True
Let x(v) = v**3 + 5*v**2 - 5*v + 10. Let q(a) = -a**3 + a**2 + 3*a + 3. Let w be q(3). Let d be x(w). Suppose -173 - 67 = -d*o. Is o a multiple of 15?
True
Let o(c) = c. Let t = 20 - 15. Let y be o(t). Suppose -y*w + 26 = -134. Does 32 divide w?
True
Suppose 3*l = -48 - 75. Let t = l - -65. Is 15 a factor of ((-80)/t)/((-2)/9)?
True
Let q = -128 - -287. Is q a multiple of 35?
False
Suppose -99 - 133 = 4*l. Suppose 0 = -3*j - 77 - 43. Let w = j - l. Is 18 a factor of w?
True
Suppose -8*t + 28 = -4*t. Let h = 15 - t. Suppose 82 = 5*j - h. Is j a multiple of 9?
True
Suppose -5*a + 24 = 2*w, -2*w = -4*a - 3*w + 18. Suppose -2*q - 16 = -p, -4*p + a*q + 62 = p. Does 3 divide p?
False
Let v(y) = -23*y**3 + 10*y**2 - 4*y + 15. Is v(-5) a multiple of 40?
True
Let o(l) = -67*l + 87. Does 66 divide o(-8)?
False
Suppose -9 = -6*q + 9. Suppose -5*y = q*y - 1272. Does 34 divide y?
False
Suppose 7*r - 72 = -11*r. Suppose -4*d = -3*s + 406, 0 = r*s - 3*s + d - 126. Does 6 divide s?
False
Suppose -7*q + 2880 - 430 = 0. Is q a multiple of 70?
True
Let g be 9/2*(-28)/(-63). Let f(r) = 53*r - 7. Is 9 a factor of f(g)?
True
Let y(k) = -162*k**3 - k - 1. Suppose -3*b - 13 = -2*p, 3*p = -3*b + 8*b + 20. Does 9 divide y(b)?
True
Suppose 4*g = 6*g + 3*y + 75, 81 = -2*g - 5*y. Let i = g - -59. Is 7 a factor of i?
False
Suppose -6*q + 18*q = 60. Suppose n - 102 = -5*v, q*n - 10 = 2*v - 40. Is 4 a factor of v?
True
Let i(h) = 5*h**3 - h**2 - 2*h - 76. Let f(x) = -x**3 + 1. Let a(n) = -4*f(n) - i(n). Does 8 divide a(0)?
True
Let i = -414 + 670. Suppose y - 5*y + h + i = 0, -335 = -5*y + 5*h. Is y a multiple of 21?
True
Suppose 0 = -2*m + 2 + 18. Let t = m - 6. Is 172/14 - t/14 a multiple of 12?
True
Let g(r) = r**3 - 35*r**2 + 83*r + 35. Is 60 a factor of g(35)?
True
Let j = 1783 - 784. Is 14 a factor of j?
False
Let d be 36/8 + (-3)/2. Suppose -m = -d*m + 626. Suppose 5*q - 3*s = 408, 4*q = 2*s + 15 + m. Does 21 divide q?
True
Let o be ((-10)/8)/((-2)/(-8)). Let y be o/(-2) - 1/(-2). Is ((-2)/y)/((-4)/72) a multiple of 12?
True
Suppose w + 4*b = -149, -4*w - 680 = -0*b - 5*b. Let n = -63 - w. Is 34 a factor of n?
True
Suppose 2*z + x = -2*x - 3, 21 = -4*z - x. Let i be (-313)/z - 4/24. Is 5 a factor of -2 + 1 - i/(-2)?
True
Suppose 3*f - 3*p = 1368, 4*f - 3*f = -5*p + 456. Is 19 a factor of f?
True
Suppose v = -4*g - 94, 0 = -3*g - 2*v - 25 - 48. Let t = g + 28. Suppose -t*c + 11 = -2*l, 5 + 3 = 4*l - 4*c. Does 4 divide l?
False
Let m(b) = -b**3 + 12*b**2 - 4*b. Let n be m(5). Let j = n + -55. Does 25 divide j?
True
Is 8 a factor of ((-34)/17)/(2/(-986))?
False
Let g(o) = 5*o**3 + 2*o**2 - o. Let l be g(1). Let s be (-4)/l - (-40)/15. Suppose s*b - u + 5*u - 28 = 0, 2*b = -5*u + 23. Is 8 a factor of b?
True
Suppose 4*s = 4*j - 20, j - 4*s - 5 = 2*j. Suppose 2*q - q + j*b = 28, -b + 57 = 4*q. Is 2 a factor of q?
False
Let s = -413 + 783. Is s a multiple of 15?
False
Let t(z) = z - 5. Suppose 0 = -2*m + 4*c + 30, m + c = -c - 1. Let f be t(m). Is 7 a factor of f - (3 + -1) - -8?
False
Let l be 2 - -15 - (4 - 1). Is l/(-35) - (-252)/5 a multiple of 10?
True
Let x be -2 + (-4)/(-1 - 3). Let r be 7/(x/4*-2). Let c = r - 4. Is 4 a factor of c?
False
Suppose 6*x - 935 - 469 = 0. Does 78 divide x?
True
Let o be (88/(-6))/((-14)/63). Let s = o + -21. Is 15 a factor of s?
True
Suppose -1304 = -4*w - 4*u, 4*u + 208 = 3*w - 742. Is 23 a factor of w?
True
Suppose 5*l - 366 = -4*h + 192, 0 = -4*l + 4*h + 432. Let u = -80 + l. Is u a multiple of 3?
True
Is 33 a factor of ((-2836)/(-12))/(5/15)?
False
Suppose 0 = -5*x - u + 4, -3 = -4*x + 4*u - 5*u. Is 19 a factor of (-196)/((1 - 4) + x)?
False
Let h be -4*(-1)/10*5. Suppose 0 = -3*v - 2*g + 250, -h*g - 254 = -5*v + 168. Is 12 a factor of v?
True
Suppose -58 = 2*k + 50. Is -5 + k*5/(-10) a multiple of 22?
True
Suppose 0 = -35*v + 5977 + 8863. Is 13 a factor of v?
False
Suppose -1148 = -2*z + w + 728, 0 = 2*z + 4*w - 1856. Does 56 divide z?
False
Let t be (142/6)/(6/18). Let j = t - 14. Is 19 a factor of j?
True
Let j = -309 + 345. Is 6 a factor of j?
True
Suppose -3*y + 12 = -0*y. Suppose -3*c - 5*i = -c - 33, i + 63 = 2*c. Suppose 2*b - 46 = -4*g, -5*g + y*b + c = -2*g. Does 11 divide g?
True
Is 40 a factor of 41 - 41 - (-129)/6*26?
False
Suppose -272 - 106 = -z. Does 54 divide z?
True
Let g = -114 + 270. Is g a multiple of 6?
True
Is 23576/140*(5 + 0) a multiple of 30?
False
Let b be (-9)/6*50/(-15). Suppose 18 = k + b*j, -3*j = -2*j - 3. Suppose 3*l = 3*c - 18, -c - k*c + 18 = -l. Does 3 divide c?
False
Let p be (-6)/(-8) + (-9)/12. Let a be (-224)/(-12) + (-1)/(-3). Let o = a - p. Is o a multiple of 10?
False
Suppose 5*b = 2*w - w - 38, 5*w - 310 = b. Is w a multiple of 11?
False
Is 28 a factor of (-6)/14 - (-84513)/1001?
True
Suppose 16*z = 24*z - 3104. Is z a multiple of 36?
False
Suppose -218*n + 212*n = -13650. Does 35 divide n?
True
Suppose 18*g - 6*g - 1716 = 0. Is g a multiple of 11?
True
Let z(l) = l**3 + l**2 - l + 7. Let q be z(0). Suppose d = -4 + q. Is (-1 + d)*275/22 a multiple of 14?
False
Let a(y) = 63*y + 35. Let u be a(5). Suppose 11*q - u - 211 = 0. Is 17 a factor of q?
True
Suppose 513 = 5*l + 93. Does 6 divide l?
True
Suppose 4*b + 3*w - 193 = 4*w, 233 = 5*b - 4*w. Suppose 188 = -4*x + 180. Let h = b + x. Does 8 divide h?
False
Suppose 254*l + 156 = 258*l. Does 39 divide l?
True
Let f(l) = -13*l**3 - 10*l**2 - 3*l. Is f(-2) a multiple of 10?
True
Suppose 11*o = -27*o + 17100. Does 42 divide o?
False
Suppose -5*z + 5*o - 1160 = 0, -57 + 506 = -2*z + 5*o. Let f = -137 - z. Is f a multiple of 28?
False
Let q(g) = 190*g + 80. Is 28 a factor of q(4)?
True
Suppose -2*i - 3*p = -i - 732, 5*p - 724 = -i. Does 31 divide i?
True
Let x(v) = -4*v**3 - 9*v**2 + 5*v. Is x(-7) a multiple of 28?
True
Let l(n) = 46*n - 2. Let k(v) = -v**2 - 6*v - 3. Let u(z) = z**3 + 6*z**2 - 8*z - 12. Let c be u(-7). Let f be k(c). Is l(f) a multiple of 18?
True
Let t be 5*28 - (4 - 5). Suppose -4*p - 2*n = p - 142, t = 5*p + n. Is 7 a factor of p?
True
Does 74 divide (-7)/((-28)/6)*4144/12?
True
Let x be 60/42 - 6/14. Is 11 a factor of (-1005)/(-15) + (x - 2) + -1?
False
Let o(l) = -l**2 + 6*l + 11. Let h be o(-3). Let p(u) = -u**2 - 25*u + 7. Is 16 a factor of p(h)?
False
Suppose 5*p - 41 + 11 = 0. Suppose n = -n - p. Is ((-44)/20 - n)*35 a multiple of 4?
True
Let z = 356 + -201. Is z a multiple of 7?
False
Let w(k) = 7*k**2 + 5*k - 11. Is w(7) a multiple of 8?
False
Let o = 8 + -6. Suppose 2*t - 2 = o. Suppose k + 0*k + 5*x = -1, -5*k + t*x = -103. Is 13 a factor of k?
False
Let k = -438 + 645. Does 16 divide k?
False
Let u = 439 + -154. Does 19 divide u?
True
Let f be (-19)/(-76) + 2/(-8). Suppose f = -3*u + 2*u. Suppose 5*v - 7*v + 96 = u. Is v a multiple of 12?
True
Suppose 4*v + 4*u - 3812 = 0, -3*v + 2857 = 26*u - 21*u. Does 40 divide v?
False
Let a = -633 + 1447. Is a a multiple of 74?
True
Suppose 42*m = 6*m + 65772. Does 21 divide m?
True
Let q be 0 - -1 - (-1 + (-1 - -5)). Is 7 a factor of (-8)/12*q*(-102)/(-2)?
False
Let z = -339 + 102. Let u = -94 - z. Suppose -2 - 28 = -o - 5*d, -4*o + u = -3*d. Is 28 a factor of o?
False
Let c(b) = -37*b + 3. Does 4 divide c(-10)?
False
Let b(c) = c + 4. Let z be b(-10). Let m(k) = k**3 + 6*k**2 - 2*k - 8. Let o be m(z). Suppose 0 = g - i - 6, -6*g - o*i + 30 = -4*g. Does 3 divide g?
True
Let m(p) = p**3 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
9
Round -222.548623 to the nearest 10.
-220
What is -0.0000315077896 rounded to 7 decimal places?
-0.0000315
What is 808.649184 rounded to one decimal place?
808.6
Round -42929754.9 to the nearest 1000000.
-43000000
Round -33.1797903 to 2 decimal places.
-33.18
Round -1099.33955 to the nearest one hundred.
-1100
Round -68657.0252 to the nearest 100.
-68700
What is 0.28904237 rounded to two dps?
0.29
What is 31802.065 rounded to the nearest 10?
31800
Round 14777630.36 to the nearest one million.
15000000
Round -141405.8054 to the nearest one hundred thousand.
-100000
What is -106.6832 rounded to the nearest integer?
-107
What is 0.00484786438 rounded to six decimal places?
0.004848
What is -0.0000088128694 rounded to seven decimal places?
-0.0000088
Round 0.005887772977 to 6 decimal places.
0.005888
Round -229822.0891 to the nearest one hundred.
-229800
What is -0.363204397 rounded to 4 decimal places?
-0.3632
Round 0.9538881351 to four dps.
0.9539
Round 247.193565 to one dp.
247.2
Round 28345.266 to the nearest one thousand.
28000
What is 33.76811644 rounded to 2 dps?
33.77
What is -15962856.7 rounded to the nearest one thousand?
-15963000
Round -0.0003368016 to five decimal places.
-0.00034
What is -3.649757 rounded to the nearest 10?
0
Round 11815.394 to the nearest ten thousand.
10000
Round -23799.956 to the nearest 10000.
-20000
Round -565741216 to the nearest 1000000.
-566000000
What is -2461.3114 rounded to the nearest 10?
-2460
Round 6986.306077 to the nearest one thousand.
7000
What is 630825.047 rounded to the nearest one hundred thousand?
600000
Round -356666.03 to the nearest 10000.
-360000
Round 6.7441789 to three dps.
6.744
What is 2057362.8 rounded to the nearest 1000?
2057000
What is 1797263294 rounded to the nearest one hundred thousand?
1797300000
What is 358.3659 rounded to 0 dps?
358
Round -1.32377931 to the nearest integer.
-1
What is -0.5639950441 rounded to 2 dps?
-0.56
Round -49898136.23 to the nearest one thousand.
-49898000
Round -16924.6383 to the nearest one hundred.
-16900
What is 2516058.628 rounded to the nearest 100?
2516100
What is 0.01475233491 rounded to 6 decimal places?
0.014752
What is -15646.765 rounded to the nearest ten?
-15650
What is 0.0339820275 rounded to three dps?
0.034
What is 0.5405937 rounded to four decimal places?
0.5406
Round 0.744017322 to one dp.
0.7
Round 0.004112495813 to 7 dps.
0.0041125
Round -4399702.48 to the nearest 100000.
-4400000
Round -0.43457897 to 4 decimal places.
-0.4346
What is 0.0009277240422 rounded to 6 decimal places?
0.000928
What is 0.1065023715 rounded to 3 decimal places?
0.107
Round 0.000040053853 to six decimal places.
0.00004
What is -169583784 rounded to the nearest 100000?
-169600000
Round -110241069 to the nearest 1000000.
-110000000
What is 6818368553 rounded to the nearest one hundred thousand?
6818400000
What is 3.140683277 rounded to 4 dps?
3.1407
Round -2419163.95 to the nearest one hundred thousand.
-2400000
Round 0.0088429897 to 3 decimal places.
0.009
What is -0.25798863 rounded to four dps?
-0.258
What is -47397956.1 rounded to the nearest ten thousand?
-47400000
Round 138.5086035 to one decimal place.
138.5
What is -313.8891788 rounded to the nearest integer?
-314
Round 24149925.2 to the nearest 1000.
24150000
What is -42727.02479 rounded to the nearest 100?
-42700
What is 0.0221689759 rounded to two decimal places?
0.02
What is -9968578.412 rounded to the nearest one thousand?
-9969000
What is -287729.904 rounded to the nearest one hundred thousand?
-300000
Round -37844699.1 to the nearest one hundred thousand.
-37800000
What is 7359.117771 rounded to one dp?
7359.1
What is 160504920 rounded to the nearest one million?
161000000
Round 33.703769 to the nearest 10.
30
Round 32027935400 to the nearest one million.
32028000000
What is -0.496983955 rounded to one dp?
-0.5
Round 442.0135971 to the nearest integer.
442
What is 0.3134820754 rounded to five dps?
0.31348
What is -30719853.6 rounded to the nearest one hundred thousand?
-30700000
Round -0.00746030498 to 7 decimal places.
-0.0074603
Round 5730.2154 to the nearest one thousand.
6000
Round -0.002570393953 to 7 decimal places.
-0.0025704
What is 1671117.22 rounded to the nearest one thousand?
1671000
What is -0.000095505368 rounded to 7 decimal places?
-0.0000955
What is 14088.304 rounded to the nearest 10?
14090
What is -409416274 rounded to the nearest 100000?
-409400000
Round -674586895 to the nearest 1000000.
-675000000
Round 4026.83216 to the nearest 1000.
4000
Round -10.3224108 to the nearest ten.
-10
Round -0.1120359399 to two decimal places.
-0.11
What is 6783730.5 rounded to the nearest ten thousand?
6780000
What is 588938.049 rounded to the nearest one million?
1000000
What is 4707744500 rounded to the nearest one million?
4708000000
What is 0.0094418674 rounded to 3 dps?
0.009
Round 0.83121068 to four dps.
0.8312
Round 5396.302 to the nearest 100.
5400
Round 13054.967 to the nearest integer.
13055
What is 324551.54 rounded to the nearest one hundred?
324600
What is -0.53934787 rounded to 2 decimal places?
-0.54
What is 171.33291 rounded to the nearest integer?
171
What is 71.22670186 rounded to the nearest 10?
70
What is 9040.2097 rounded to the nearest one hundred?
9000
What is -0.04098911 rounded to 3 dps?
-0.041
What is -5018.6936 rounded to the nearest 10?
-5020
What is 239.9591102 rounded to 1 decimal place?
240
Round -0.1432842889 to 4 decimal places.
-0.1433
What is 7288937334 rounded to the nearest 1000000?
7289000000
What is -0.033786698 rounded to four decimal places?
-0.0338
Round -150297.542 to the nearest one hundred.
-150300
What is -748758.675 rounded to the nearest ten thousand?
-750000
Round 0.0000298014999 to 7 decimal places.
0.0000298
Round 127374.468 to the nearest 1000.
127000
What is 0.122878231 rounded to two decimal places?
0.12
Round 9861.3235 to the nearest ten.
9860
What is -0.108093939 rounded to 4 decimal places?
-0.1081
Round 0.5149652 to 2 dps.
0.51
What is 513.655399 rounded to the nearest ten?
510
Round -0.00267042094 to six decimal places.
-0.00267
Round 6006.994631 to the nearest integer.
6007
Round -21956249.8 to the nearest 1000.
-21956000
What is -0.007481456722 rounded to 6 dps?
-0.007481
What is -621.430375 rounded to the nearest integer?
-621
Round 3.26094689 to 2 decimal places.
3.26
What is -0.263800103 rounded to two decimal places?
-0.26
Round -8.9734369 to two decimal places.
-8.97
What is -54627.286 rounded to the nearest 10?
-54630
Round -0.223243798 to three decimal places.
-0.223
Round -0.03235599 to two decimal places.
-0.03
What is -18229.03369 rounded to the nearest 1000?
-18000
Round -0.00000719455406 to 7 dps.
-0.0000072
Round -26534630 to the nearest 10000.
-26530000
What is 0.000075234963 rounded to 7 decimal places?
0.0000752
Round 0.002958066196 to 4 decimal places.
0.003
Round -5194.747127 to one decimal place.
-5194.7
What is -0.0355993881 rounded to 4 decimal places?
-0.0356
Round 8.6813922 to 0 decimal places.
9
What is -0.0000636533146 rounded to 5 dps?
-0.00006
What is -781499510 rounded to the nearest 1000000?
-781000000
Round 0.94926473 to two decimal places.
0.95
What is -7089036.5 rounded to the nearest ten thousand?
-7090000
What is -5382903.22 rounded to the nearest 10000?
-5380000
Round 1.51616102 to 2 dps.
1.52
What is 712997000 rounded to the nearest 1000000?
713000000
Round -5752041.52 to the nearest 10000.
-5750000
Round -0.000014575908 to 6 decimal places.
-0.000015
Round 0.0021810012 to 5 dps.
0.00218
What is 1129354000 rounded to the nearest one hundred thousand?
1129400000
Round 0.0726839582 to five dps.
0.07268
What is 0.50868069 rounded to two dps?
0.51
What is 848130.792 rounded to the nearest 100000?
800000
What is 0.047313142 rounded to 3 decimal places?
0.047
Round 0.07369733925 to 4 dps.
0.0737
What is -7726.7946 rounded to zero decimal places?
-7727
Round -144195351.3 to the nearest 100000.
-144200000
What is -0.00000064370488 rounded to seven dps?
-0.0000006
Round 0.00102211329 to six decimal places.
0.001022
Round -0.000025960885 to seven decimal places.
-0.000026
Round 15434.309246 to one dp.
15434.3
What is 44602083.5 rounded to the nearest 1000000?
45000000
What is -0.095413197 rounded to 4
|
{
"pile_set_name": "DM Mathematics"
}
|
3*x + 329. Solve 32 = x*g + 4 for g.
4
Suppose 2*b - 268 - 668 = 0. Solve o - 469 = -b for o.
1
Let v(w) = -36*w - 282. Let j be v(-8). Let x be j/(-5 - (-6 + -2)). Solve 0 = 2*k - 7*k + x*k for k.
0
Suppose j - 5*j = -d + 50, -3*d - 54 = 5*j. Let p be ((-11)/(154/j))/(2/(-14)). Let w be ((-64)/48)/(2/p). Solve -w*h - 10 = -2*h for h.
-5
Suppose 2*j - 16 - 16 = 0. Suppose -j = -3*y - 10. Suppose 2*c + y*c - 2*m = 42, -4*m = 2*c - 6. Solve c = -u - 2*u for u.
-3
Suppose 0 = 2*x - r + 3 - 72, 3*r + 135 = 4*x. Solve -162*q = -156*q - x for q.
6
Let i = 1702 - 1606. Solve -10*m + 66 = i for m.
-3
Let a = 106 + -204. Let y = 174 + a. Let h be y/28 + (-4)/(-14). Solve 3*g = h - 6 for g.
-1
Suppose 4*u = -v - 15, 2*v + 4*u + 1272 = 1258. Solve 31 + v = -8*h for h.
-4
Let x(l) = 5*l**2 + 6*l - 11. Let v be x(9). Suppose 14*h - v = -2*h. Let w be ((-48)/h)/((-6)/21). Solve -w - 6 = 4*b for b.
-3
Let r = 30 - 27. Let j = 253 + -251. Solve -r*p + j = -7 for p.
3
Let j = -650 + 655. Suppose 44 = -j*w + 54. Let f(m) = -m**2 - 2*m + 3. Let h be f(-3). Solve 6*k - w*k - 20 = h for k.
5
Let g = 85 - 121. Let c = g + 36. Solve -w + 5 = -c*w for w.
5
Let w = 8754 + -8701. Solve -k + 55 = w for k.
2
Let x(k) = -36*k**2 + 24*k + 12. Let o be x(3). Let n be (-180)/o*(13 - 1). Solve -n*i = -13*i for i.
0
Let c be (-95)/38 - 22/(-4). Suppose 10 = c*q - 5*l, 18 = 2*q + 3*l + 5. Solve -q = d - 0 for d.
-5
Suppose w + 3*q - 88 = 0, 5*q = w - 111 - 41. Solve -11*y = 5*y - w for y.
7
Let p(t) = -t**2 + 5*t + 1. Let i be p(3). Suppose 13 - i = 3*m. Suppose 2*b = 3*y + 20, m*b - 6 = -5*y - 18. Solve 2*d = b*d for d.
0
Let s be 12/16 - 0 - (-293)/4. Suppose -3*j = 0, 5*y = -2*j + s - 14. Let a be 3/y - (2 + (-54)/8). Solve 0 = a*z - 18 + 8 for z.
2
Let t(a) = 23*a + 52. Let w be t(-2). Suppose w*j + 3*j = 4*j. Solve j = -b - 5*b + 18 for b.
3
Suppose 66 = 3*y + q + 17, y - 21 = 2*q. Suppose 3*p = 29 - y. Solve -4*g + 6*g = p for g.
2
Let v be (-6)/15 - (-14)/10. Let o be 1 + 10 + v + -1. Suppose -12*z = -o*z - 2. Solve z*m = -2*m for m.
0
Let k(z) = -z**2 + 4*z + 21. Let t be k(7). Let r be -16 + 17 - 6/(-2 + t). Solve 5*b = 9 - r for b.
1
Let j(w) = 2*w**2 + 23*w - 12. Let t be j(-12). Suppose -3*y - u + 29 = y, t = -2*u + 2. Suppose -22 + y = -5*a. Solve 0 = -z + 2*z + a for z.
-3
Suppose -171*f - 38 = -173*f. Suppose 0 = -31*p + 62*p - 620. Solve 14*a + p = f*a for a.
4
Let j(v) = 39*v**2 - 262*v - 21. Let a be j(7). Solve a*n + 295 = -209 for n.
-9
Let y be (-3912)/(-10) - ((-5)/6 - (-549)/270). Solve 16*j + y - 486 = 0 for j.
6
Let t(y) = -y**2 - 19*y - 14. Suppose -5*s - 27 = -5*i + 48, -3 = s - 5*i. Let z be t(s). Let d be 18/z - (-9)/18. Solve q + d = 2 for q.
-3
Suppose x - 4*d + 3 = 0, -x = 158*d - 153*d - 42. Solve -x*k - 103 = -18 for k.
-5
Let q = 6 - 2. Let n = -646 - -1348. Suppose 16 = -700*u + n*u. Solve b - q = -u for b.
-4
Let f be (56/336 - 5348/120)/(2/(-5)). Solve 0 = 29*w - 24 + f for w.
-3
Suppose -462 = -5*a - k, 42 = a + k - 52. Let z be (-1)/(-5) - 7/(70/a). Let f be z/9 + 3 + 0. Solve 0 = -4*l + f*l + 4 for l.
2
Suppose -y - 5 = -h, 3*h + y = 4 + 23. Suppose -4*t + 104 = h. Solve 2*r - t = -4*r for r.
4
Let p be 16/6*-1*(-210)/56. Solve -18*l + 44 = -p for l.
3
Let l be 4/12 + 15/9. Suppose 3*p - 2*j + 4 = l*p, -3*p = -3*j + 6. Suppose 19*n - 18*n = 3, n + 12 = 5*d. Solve d = -w - p for w.
-3
Let k(u) = -155*u + 159. Let x be k(1). Let v be 1*(-1 - 6) - -1. Let n = v - -12. Solve -n*w - 10 = -x*w for w.
-5
Let v = -49 + -38. Let u = 100 + v. Solve 8 = 7*x - u for x.
3
Let i be 5/(10/(-8)) - (-19)/(133/42). Solve m - i*m = -3 for m.
3
Let n be (2 + -2)/(102 + -99). Solve n = 18*h - 5*h + h for h.
0
Let o(b) = b**2 - 5*b + 4. Let a be o(4). Suppose -21 = -8*s + s. Let f be 48/(-8) - 1 - -7. Solve a*c - s*c = f for c.
0
Suppose 6*h + 78438 = 95*h - 66187. Solve -x = -h + 1624 for x.
1
Suppose 3*h = 2*h, -5*j = -h - 25. Suppose -j*g + 2 = -2*l, -l + 3 = -1. Suppose 4*o - 18 = g. Solve -o*u = -u for u.
0
Suppose 0 = -11*h - 2 + 13. Suppose 3 = -2*o + f + 10, 5*o - 7 = -f. Suppose 3*z + o*z = 30. Solve -z*u + h = -7*u for u.
-1
Let g(d) = 2*d**2 + 13*d - 3. Let o be g(-6). Let w = 14 - o. Suppose -21*n = -w*n + 18. Solve n + 1 = 2*v for v.
5
Let d(z) be the first derivative of -z**4/4 - z**3/3 + 3*z**2/2 - z - 1. Let u be d(1). Suppose u*r = -r. Solve r*v = v for v.
0
Let l(r) = 2*r**3 - 6*r**2 + 2*r - 1. Let v be l(3). Suppose 5*u = -4*g + 1, v = -0*u + 2*u - 3*g. Solve 19 + u = -5*y for y.
-4
Let d(x) = -x**3 - 12*x**2 - 12*x - 1. Let a be d(-11). Let y(m) = -4*m**2 + 42 + 3*m**2 + 10*m - 40. Let u be y(a). Solve -u*q + 15 = 5 for q.
5
Let q be (-3 + 6/2)/(-2). Let w = q + 0. Solve w*d = 2*d + 2 for d.
-1
Let u be (-45)/(3*2*(-4)/24). Let y be 3*(u/3)/5. Let f = y + -5. Solve 0 = 9*v - f*v + 20 for v.
-4
Let b(r) be the first derivative of 11 - 2*r**2 - 1/4*r**4 + 0*r + 4/3*r**3. Let l be b(2). Solve 2*y + 0*y + 2 = l for y.
-1
Suppose -140*j - 331*j + 19723 + 8066 = 0. Solve -j*w + 16 = 75 for w.
-1
Suppose 0*s - s = -126. Suppose 0 = -4*u - 5*l + 510, 3*l = -152*u + 155*u - 396. Let v = u - s. Solve -5*j - v = 6 for j.
-2
Let f(o) = o**3 - 3*o - 165. Let w be f(0). Let p = w + 171. Solve -13 = -p*j + 11 for j.
4
Let m be ((-44)/12 + (-4)/(-6))/(-1). Suppose -l - m*k - 39 = -k, 5*l = -2*k - 219. Let g be -2 + ((l - -1)/(-4) - 3). Solve 0 = 3*u + 3 + g for u.
-3
Let a = -306 + 121. Let c be (-5)/50*a + 2/4. Solve -17 = -2*y - c for y.
-1
Let s(u) = -2*u + 0*u**3 - 4*u**3 + 2*u + 1 - u**2. Let z be s(-1). Let t = 6 + 0. Solve t = -z*a - 6 for a.
-3
Let m(j) = -4*j + 8. Let g be m(-5). Let f = -43 + g. Let k be f*(110/(-25) + 4). Solve u + u + k = 0 for u.
-3
Let x = -6416 + 6477. Solve 41*a = x - 184 for a.
-3
Let i(w) = 3*w**2 + 6*w - 37. Let y be i(-5). Suppose 8*q - 9*q + n = -2, -4*n - y = q. Solve 0 = -q*c - 2*c - 2 for c.
-1
Let j = 8529 - 8331. Solve -12*c - 150 + j = 0 for c.
4
Let z be 1 + -2 - -6 - -2. Let d(c) = c**3 + 32*c**2 - 18*c + 12. Let m be d(-32). Let l = 598 - m. Solve 2*n = z*n - l for n.
2
Suppose 0*v = 3*v - 225. Suppose -v*p = -74*p - 22. Let r = p + -14. Solve -3*u = u - r for u.
2
Suppose -2*o = -r - 2659, 3*o = 10*r - 12*r + 4013. Solve -o*i + 7 = -1334*i for i.
-7
Let f be 0 + 5 + (-270)/(-10). Suppose 111 = f*n + 5*n. Solve 8 = 7*x - n*x for x.
2
Let s(z) = -13*z - 9. Let h be s(-3). Let o be h/(-165) + (-24)/(-11). Suppose -5*n - 12 - 7 = 2*r, n = -5. Solve 0 = o*q - 5*q + r for q.
1
Suppose -g + 16 = -r + 39, r = -3*g + 7. Solve -27 = r*h + 11 for h.
-2
Let a = 94 - 87. Suppose 0*n = a*n - 6*n. Solve n = -2*x + x for x.
0
Suppose c + 5*l = 41, 0 = -14*l + 15*l - 5. Let t(v) = 14*v - 222. Let y be t(c). Solve -y*s = -14*s + s for s.
0
Let y = -5805 + 5814. Solve 51 = -y*w + 33 for w.
-2
Let b = 21 + -21. Suppose 0 = -3*j - o - b*o - 26, -2*o = -j + 3. Let l = -3 - j. Solve 0 = 4*k - l for k.
1
Suppose -7*h = 337 + 167. Let v = h - -84. Suppose -40 = -5*z - 10. Solve 10*n - z*n = -v for n.
-3
Suppose -2*p + 6 = -c, -3*p + 10 = -0*c - c. Suppose -37*x - 206*x + 933 + 525 = 0. Solve -w + x - c = 0 for w.
4
Let o(v) = v**2 + 10*v + 29. Let i be o(-6). Let d be (-7 - -7)/(1 + 0). Suppose d*c = -i*c + 10. Solve -c*y = y for y.
0
Let u(i) = 181*i**2 + 255*i. Let z be u(-2). Solve -192*n = -z*n for n.
0
Suppose n + 640 = 2*x, -7*x + 2*x + 1611 = 3*n. Let d = x + -317. Solve d*z = -0*z - 8 for z.
-2
Let j = -24 - -24. Suppose -m = -j - 4. Let b be 6/((-12)/(-10)) + (-2)/(-1). Solve -b = m*a + 5 for a.
-3
Let f = 7070 + -7034. Solve -16*b - 40 = -f*b for b.
2
Let o be 171*-1*(-4 + 5). Let a = o - -180. Solve -13*l = -a*l + 4 for l.
-1
Let d be (-112)/48*186/(-7). Solve -22*z = 70 + d for z.
-6
Let m(j) = -152 - 3008*j - 103 + 3051*j. Let n be m(6). Solve -5 - n = -2*v for v.
4
Let z be (-10)/8*-2 + 1540/(-616). Solve z = -205*k + 197*k - 16 for k.
-2
Let b(g) = -3*g**2 + 55*g - 8 - 48*g + g**2 + 7*g**2. Let i be b(1). Let n be (15/20)/(1/4). Solve v - n*v + i = 0 for v.
2
Let r(o) = -3*o - 16. Let a be r(-10). Let w be 4/7 - (-31)/a*2. Let n(k) = -2*k - 4. Let i be n(-8). Solve 3 + i = -w*c for c.
-3
Let x = -81 - -135. Suppose 65*j - x*j = 22. Solve -5 = -3*r + j*r for r.
5
Suppose -3*v + 456 = 4*m, -52*m + 50*m = v - 156. S
|
{
"pile_set_name": "DM Mathematics"
}
|
be the first derivative of -v**4/11 + 106*v**3/33 - 76*v**2/11 + 50*v/11 + 54. Determine g, given that m(g) = 0.
1/2, 1, 25
Factor -189/8*x - 3/8 + 24*x**2.
3*(x - 1)*(64*x + 1)/8
Suppose 2*y + 7 = 5*h, 4*h - 3*h + 5 = 2*y. Solve -m**2 - h*m**4 + 5*m**2 - 30*m - 2*m**5 + 32*m - m**4 = 0 for m.
-1, 0, 1
Let c(d) be the second derivative of 1/4*d**4 + 0 + 27/2*d**2 - 3*d**3 + 13*d. Suppose c(z) = 0. What is z?
3
Let x = 114 + -227/2. Let v(k) be the second derivative of 3/20*k**5 + 2*k + 0*k**2 + x*k**3 + 0 + 1/2*k**4. What is p in v(p) = 0?
-1, 0
Let d(i) = i**4 + i**3 + 1. Let h(u) = 8*u**4 + 8*u**3 - 12*u**2 - 4*u + 12. Let p(j) = 4*d(j) - h(j). Solve p(v) = 0.
-2, -1, 1
Let d(n) be the second derivative of n**6/45 - 4*n**5/5 + 83*n**4/9 - 88*n**3/3 + 121*n**2/3 - 94*n. Factor d(h).
2*(h - 11)**2*(h - 1)**2/3
Factor 1/2*g**3 + 147/2 + 7/2*g - 11/2*g**2.
(g - 7)**2*(g + 3)/2
Let t = -2233 - -2233. Factor -n + 0 + t*n**2 + 49/4*n**3.
n*(7*n - 2)*(7*n + 2)/4
Suppose 5*m + 7 - 27 = -3*l, 0 = -2*l + m - 4. Factor l*u + 0 + 0*u**2 + 0*u**3 + 0*u**4 + 6/7*u**5.
6*u**5/7
Let g(i) be the second derivative of i**4/3 + 74*i**3/3 - 523*i. Factor g(t).
4*t*(t + 37)
Let u = -1429 - -1431. Suppose 10/11*g**3 + 32/11*g**u - 14/11*g**4 + 0 + 8/11*g = 0. Calculate g.
-1, -2/7, 0, 2
Suppose 0 = -3*y + 2*y + 10. Factor y*k**3 - 15*k + 25 + k**5 - 27*k**2 + 5*k**2 - 12*k**2 + 4*k**3 + 9*k**4.
(k - 1)**2*(k + 1)*(k + 5)**2
Let r(k) = -3*k + 5. Let n be r(3). Let v be n - ((-1018)/210 + (-26)/(-195)). Factor v*u + 3/7 - 1/7*u**3 + 1/7*u**2.
-(u - 3)*(u + 1)**2/7
Suppose 2*d + 1 = 4*v - 3, -v + 1 = 5*d. Let s(f) be the second derivative of d*f**2 + 3*f + 0*f**3 + 1/90*f**5 + 0 + 1/54*f**4. Let s(n) = 0. Calculate n.
-1, 0
Let f = -238217/5 - -47647. Suppose -48/5*w**2 - f*w**3 - 8*w + 0 - 2/5*w**4 = 0. What is w?
-5, -2, 0
Find a, given that 241*a**4 - 2409*a**2 + 14726*a**3 + 4*a**4 - 1660 + 13260*a + 5224*a**3 - 9557*a**2 - 19829*a**2 = 0.
-83, 2/7, 1
Let g(a) be the first derivative of -5*a**4/12 - 10*a**3/3 + 25*a**2/2 + a - 3. Let r(w) be the first derivative of g(w). Factor r(s).
-5*(s - 1)*(s + 5)
Suppose 2/3*s**5 + 24*s + 40*s**2 + 0 + 20/3*s**4 + 74/3*s**3 = 0. What is s?
-3, -2, 0
Let s(h) be the second derivative of -h**8/5880 + h**6/315 - 4*h**3/3 - 25*h. Let i(p) be the second derivative of s(p). Find b, given that i(b) = 0.
-2, 0, 2
Suppose -4*p = -h - 14, 5*h - 10 = -3*p + 6*h. Let a(k) be the first derivative of -2/3*k - 8 + 1/4*k**p - 13/18*k**3 - 1/30*k**5 + k**2. Factor a(t).
-(t - 2)**2*(t - 1)**2/6
Suppose -3*m = -3*d + 12, -11 = d + 2*m - 3. Let k(t) be the first derivative of 0*t**2 + 0*t + 2/5*t**5 + d*t**3 + t**4 - 4. Suppose k(y) = 0. What is y?
-2, 0
Suppose 0 = -0*c + 2*c - 6. Factor 4*k**2 + k**c - k**2 - 2*k**2 - 2*k**3.
-k**2*(k - 1)
Let o(g) be the first derivative of 0*g - 1/360*g**5 - 1/3*g**3 + 0*g**2 - 5 + 0*g**4 + 1/1080*g**6. Let x(y) be the third derivative of o(y). Solve x(i) = 0.
0, 1
Let v be ((-198)/12)/(-11) - (-470)/(-340). Factor 0 - v*g**3 + 0*g**2 - 2/17*g**4 + 0*g.
-2*g**3*(g + 1)/17
Let d = -7 - -11. Suppose -4 - r**2 + d*r**2 - 2*r**2 + 0*r**2 = 0. Calculate r.
-2, 2
Factor 0 + 28*l**2 + 86/3*l - 2/3*l**3.
-2*l*(l - 43)*(l + 1)/3
Let j(b) be the second derivative of 0 + 32/105*b**6 + 80/7*b**3 + 32/7*b**2 - 24/7*b**5 - 10*b + 193/21*b**4. Let j(h) = 0. What is h?
-1/4, 4
Let q(j) be the second derivative of 0 - 12*j + 1/10*j**5 - 1/6*j**4 - 3*j**2 - 5/3*j**3. Factor q(n).
2*(n - 3)*(n + 1)**2
Let r(v) = -v**3 + 5*v**2 + 6*v + 3. Suppose -o = 5*a - 30, 0 = 3*a - 0*a - 2*o - 18. Let x be r(a). Factor -3*c**2 - 6*c**2 + 3*c + 3*c**3 + 6*c**3 - x*c**4.
-3*c*(c - 1)**3
Let p be (-138)/(-21) - 7 - (-41)/14. Suppose -1/2*n**5 + 4*n - 7/2*n**3 - 2 - 1/2*n**2 + p*n**4 = 0. What is n?
-1, 1, 2
Factor -1600 - 1/4*b**2 + 40*b.
-(b - 80)**2/4
Suppose 3*g = 7*g - 8. Factor 101*y**g + 79*y**2 + 33*y - 18*y + 45*y + 5.
5*(6*y + 1)**2
Let z(f) be the first derivative of 11*f**6/30 - f**5/5 + 7*f**2 + 28. Let n(p) be the second derivative of z(p). Determine k, given that n(k) = 0.
0, 3/11
Let f(d) be the second derivative of 0*d**2 - 1/450*d**6 + 0*d**4 + 0 + d + 1/3*d**3 - 1/75*d**5. Let r(i) be the second derivative of f(i). Solve r(h) = 0.
-2, 0
Factor 5*b**2 + b**2 + 179 - 209 - 3*b.
3*(b + 2)*(2*b - 5)
Let w(z) be the first derivative of -13*z**3/6 + z**2/4 + 167. Factor w(q).
-q*(13*q - 1)/2
Suppose -4*p - 40 = -13*x, 5*p + 0 - 7 = 2*x. Let y(o) be the second derivative of -1/60*o**x + 0 - 1/10*o**2 + 1/15*o**3 - 9*o. Suppose y(z) = 0. Calculate z.
1
Let r(s) = s**3 - 2*s**2 + s + 1. Let o be r(2). Factor -7*a**2 + 2*a**3 + 11*a**2 - 2*a**o - 4*a**4.
-4*a**2*(a - 1)*(a + 1)
Let r(j) be the first derivative of 2*j**6/15 - 2*j**4/3 + 2*j**2 - 18*j + 13. Let y(m) be the first derivative of r(m). What is h in y(h) = 0?
-1, 1
Let m = -51 - -99. Factor 10*p**2 + 4*p**2 - 40*p - 10*p**2 + 4*p**3 - 2*p**3 + m.
2*(p - 2)**2*(p + 6)
Let i be 1/(-2) - 258/24*-2. Suppose 0*c + 2*c = 6. Factor 243/4*z**4 + 189/2*z**3 + c + 39/4*z**2 - i*z.
3*(z + 1)**2*(9*z - 2)**2/4
Let m(k) be the first derivative of -2*k**6/15 + 44*k**5/25 - 7*k**4 + 20*k**3/3 + 51. Solve m(t) = 0 for t.
0, 1, 5
Suppose b + 2*h = 0, 3*b - 9 - 7 = 2*h. Let k = b - -2. Find l such that -3*l**4 - 2*l**3 - 6 - l**3 + 3*l + k + 3*l**2 = 0.
-1, 0, 1
Suppose -4*s = 4*v - 20, 0 = -2*v - 22*s + 21*s + 9. Factor -1/4*t**v - 3/4*t**2 + 0 + 1/4*t + 3/4*t**3.
-t*(t - 1)**3/4
Let p(x) = -19*x + 1. Let b be p(-1). Let l = 163 + -160. Find n such that -5*n**3 + b*n**l + n**2 - 14*n**3 = 0.
-1, 0
Let n(i) = i**2 - 2*i + 2. Let m be n(0). Find k such that -7*k**3 - 10*k**4 + 4*k**4 + 4*k**2 + m*k**4 + 4*k + 3*k**3 = 0.
-1, 0, 1
What is z in 1031*z**5 - 3*z**4 + 15*z**2 - 12 - 15*z**3 + 1033*z**5 - 2061*z**5 + 12*z = 0?
-2, -1, 1, 2
Solve -6 - 11 + 6 + h**2 - 13 - 23*h = 0 for h.
-1, 24
Let t(l) be the first derivative of -l**3/5 + 108*l**2/5 - 3888*l/5 + 51. Let t(o) = 0. What is o?
36
Let q(o) = -4*o**2 + 16*o - 22. Let l(c) = 5*c**2 - 17*c + 22. Let r(t) = -3*l(t) - 4*q(t). Find g, given that r(g) = 0.
2, 11
Let q = -29344 + 29346. Determine g so that -g**q + 0*g + 0 - 1/2*g**3 = 0.
-2, 0
Let b(t) be the second derivative of -7/30*t**4 + 3/50*t**5 - 4/105*t**7 + 8/75*t**6 + 0 + 2/15*t**3 - 32*t + 0*t**2. Let b(l) = 0. Calculate l.
-1, 0, 1/2, 2
Let f(k) = -k**3 + k**2 - k - 1. Let i(p) = p**2 + 5*p + 4. Let g be i(-3). Let r(n) = n**3 - 5*n**2 + 6*n + 14. Let u(b) = g*f(b) - r(b). Factor u(h).
(h - 2)*(h + 2)*(h + 3)
Let z be (-11)/(-6) + 76/(-57). Solve z*c**3 - 1/2*c**5 - c**2 + 0 + c**4 + 0*c = 0.
-1, 0, 1, 2
Let z = 2482 + -2482. Let m(l) be the third derivative of -1/168*l**8 - 2/35*l**7 - 4/15*l**5 + 0*l + 4*l**2 + 0*l**4 + z*l**3 - 1/5*l**6 + 0. Factor m(p).
-2*p**2*(p + 2)**3
Let m(l) be the second derivative of 30*l - 16/15*l**2 + 7/150*l**5 - 8/45*l**3 + 23/90*l**4 - 7/225*l**6 + 0 + 1/315*l**7. What is f in m(f) = 0?
-1, 1, 4
Let s(d) = -2*d**2 + 42*d - 104. Let i be s(18). Let l(c) be the first derivative of 3*c**2 - 5/2*c**3 + 6*c - 9/8*c**i - 6. Solve l(b) = 0 for b.
-2, -2/3, 1
Let o(s) be the first derivative of 2/33*s**3 - 12/11*s - 7/11*s**2 + 1/11*s**4 + 44. Let o(r) = 0. Calculate r.
-3/2, -1, 2
Let j(l) be the first derivative of 2*l**3/15 + 64*l**2/5 + 43. Factor j(i).
2*i*(i + 64)/5
Let b = -49 + 53. Factor -b*a**2 - 12*a**3 - 1948 + 1948.
-4*a**2*(3*a + 1)
Let f be (-180)/(-100) - (-1)/5. Suppose -s + f*s - 9*s**2 + 8*s**2 + 4 - 2 = 0. Calculate s.
-1, 2
Let w(q) be the first derivative of -3/5*q**2 + 2 + 1/6*q**4 + 2/15*q**3 - 6*q. Let v(h) be the first derivative of w(h). Factor v(i).
2*(i + 1)*(5*i - 3)/5
Let l(a) be the third derivative of a**7/630 + a**6/90 + a**5/30 + 5*a**4/8 + 4*a**2. Let g(f) be the second derivative of l(f). Find d such that g(d) = 0.
-1
Let a(y) be the third derivative of -y**8/560 + 5*y**7/168 - y**6/40 + 5*y**4/8 - 18*y**2. Let l(w) be the second derivative of a(w). Let l(b) = 0. Calculate b.
0, 1/4, 6
Let q(d) be the first derivative of 2*d**5/25 + 3*d**4/5 + 2*d**3/3 + 538. Factor q(w).
2*w**2*(w + 1)*(w + 5)/5
Let z(g) be the first derivative of g**4/5 + 4*g**3/3 + 8*g**2/5 - 182. Find u, given that z(u) = 0.
-4, -1, 0
Let h
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1472/15 = 0. Calculate t.
-32, 23
Let y**2/4 + 875*y/4 - 219 = 0. Calculate y.
-876, 1
Solve -k**3/2 + 500*k**2 - 1997*k/2 + 499 = 0 for k.
1, 998
Suppose i**3/4 - 7123*i**2/4 - 14253*i/4 + 21375/4 = 0. What is i?
-3, 1, 7125
Let -2*o**2/11 - 2072*o - 5903128 = 0. Calculate o.
-5698
Factor 2*q**2/7 + 55436*q/7 - 55438/7.
2*(q - 1)*(q + 27719)/7
Determine k so that 361*k**5/4 + 3895*k**4/4 + 10359*k**3/4 + 5269*k**2/4 - 368*k + 21 = 0.
-7, -3, -1, 2/19
What is b in -b**2 + 899*b - 184228 = 0?
316, 583
What is g in -17*g**4/4 - 281*g**3/4 - 285*g**2/2 + 1225*g - 1250 = 0?
-10, 25/17, 2
What is t in -2*t**2/9 - 376*t/9 = 0?
-188, 0
Factor 2*c**3/5 - 102*c**2/5.
2*c**2*(c - 51)/5
What is i in 3*i**3 + 108*i**2 - 732*i + 1008 = 0?
-42, 2, 4
Solve -3*o**3 + 18*o**2 - 33*o + 18 = 0 for o.
1, 2, 3
Factor -q**4 + 137*q**3 - 5313*q**2 + 38367*q + 166698.
-(q - 63)**2*(q - 14)*(q + 3)
Factor -p**2 - 48*p - 567.
-(p + 21)*(p + 27)
Factor -5*w**2 - 9595*w + 19210.
-5*(w - 2)*(w + 1921)
Solve -346028805*f**2 - 83190*f - 5 = 0.
-1/8319
Solve -20*h**5 - 335*h**4 - 535*h**3 - 145*h**2 + 75*h = 0.
-15, -1, 0, 1/4
Let 21*s**2/4 - 47*s/2 - 68 = 0. What is s?
-2, 136/21
Determine r so that -r**5 + 73*r**4 - 141*r**3 - 73*r**2 + 142*r = 0.
-1, 0, 1, 2, 71
Determine l, given that -l**3/6 - 13730*l**2/3 + 54923*l/6 - 4577 = 0.
-27462, 1
Let 2*j**5/7 - 894*j**4/7 + 115344*j**3/7 - 3363832*j**2/7 + 12099648*j/7 - 1664640 = 0. What is j?
2, 35, 204
Factor 4*t**3 - 8912*t**2 + 71004*t + 79920.
4*(t - 2220)*(t - 9)*(t + 1)
Solve -2*r**2/3 - 35968*r/3 + 11990 = 0.
-17985, 1
Factor v**2/4 + 37905*v/2 + 1436789025/4.
(v + 37905)**2/4
Solve -16*u**4/3 - 1034*u**3/3 - 34051*u**2/6 - 10336*u/3 - 512 = 0 for u.
-32, -3/8, -1/4
Factor -h**2/3 - 568*h/3 + 5780/3.
-(h - 10)*(h + 578)/3
What is h in -h**5/3 - 19*h**4/3 + 47*h**3 + 527*h**2/3 + 560*h/3 + 64 = 0?
-24, -1, 8
Factor 13*t**2/3 + 1618*t/3 + 248.
(t + 124)*(13*t + 6)/3
Factor 2*q**5 + 76*q**4 - 6250*q**3 - 378556*q**2 - 5481752*q - 5109520.
2*(q - 65)*(q + 1)*(q + 34)**3
Factor -5*n**3 + 25555*n**2 + 230510*n - 563200.
-5*(n - 5120)*(n - 2)*(n + 11)
Solve 3*x**3/5 + 378*x**2/5 + 4137*x/5 - 6102 = 0 for x.
-113, -18, 5
Factor 5*l**2 + 1105*l + 22770.
5*(l + 23)*(l + 198)
Determine g so that -g**4/7 + 471*g**3/7 - 7089*g**2 - 1415063*g/7 + 1464216/7 = 0.
-24, 1, 247
What is j in j**2/8 + 3185*j/2 - 51088 = 0?
-12772, 32
Solve d**3/6 + 14887*d**2/6 + 14885*d/3 = 0.
-14885, -2, 0
Determine p, given that 3*p**4 + 3483*p**3 + 82296*p**2 + 491184*p = 0.
-1137, -12, 0
Suppose -3*q**3 + 732*q**2 - 6795*q - 52650 = 0. What is q?
-5, 15, 234
Find n such that n**5/7 + n**4/7 - 138*n**3/7 - 268*n**2/7 + 536*n/7 + 1056/7 = 0.
-11, -2, 2, 12
Factor -529*b**3/2 + 40825*b**2/2 - 3544*b + 154.
-(b - 77)*(23*b - 2)**2/2
Determine y so that -2*y**3 + 654*y**2 - 53136*y - 53792 = 0.
-1, 164
Let -10*u**3/7 + 10998*u**2/7 + 13210*u/7 + 2202/7 = 0. What is u?
-1, -1/5, 1101
Factor v**4/4 + 79*v**3/4 - 16485*v**2/4 - 1444275*v/4.
v*(v - 131)*(v + 105)**2/4
Factor -2*k**3/5 + 462*k**2/5 + 5616*k + 382616/5.
-2*(k - 283)*(k + 26)**2/5
Factor -3*f**3 + 1020*f**2 + 26451*f - 88452.
-3*(f - 364)*(f - 3)*(f + 27)
Determine g so that g**4 - 932*g**3 + 36571*g**2 - 35640*g = 0.
0, 1, 40, 891
Factor j**2/10 + 12298*j/5 + 75620402/5.
(j + 12298)**2/10
Factor s**2/3 - 2686*s/3 - 226976/3.
(s - 2768)*(s + 82)/3
Determine t so that 3*t**2/8 - 492*t - 217035/8 = 0.
-53, 1365
Factor 3*c**2 + 21*c + 36.
3*(c + 3)*(c + 4)
Factor 5*x**2 + 14993400*x + 11240102178000.
5*(x + 1499340)**2
Let -2*w**2/15 - 73628*w/5 + 441776/15 = 0. Calculate w.
-110444, 2
Find j such that -2276978*j**5/5 - 2268442*j**4/5 + 51916804*j**3 - 98560072*j**2 + 1844688*j/5 - 1728/5 = 0.
-12, 2/1067, 2, 9
Solve 15*x**2 - 617837*x + 82378 = 0 for x.
2/15, 41189
Find w such that 5*w**5/2 + 925*w**4 + 34255*w**3 + 419250*w**2 + 3379005*w/2 + 2145825 = 0.
-330, -17, -3
Factor d**2/2 - 5289*d + 42280.
(d - 10570)*(d - 8)/2
Find n such that n**5 - 515*n**4 - 517*n**3 + 515*n**2 + 516*n = 0.
-1, 0, 1, 516
Suppose -2*h**3/11 + 36*h**2/11 - 208*h/11 + 384/11 = 0. What is h?
4, 6, 8
Solve 98*d**4 - 1288*d**3 - 103078*d**2 - 87612*d - 18720 = 0 for d.
-26, -3/7, 40
Find u, given that 2*u**3/13 + 30558*u**2/13 - 183402*u/13 + 275130/13 = 0.
-15285, 3
Solve 2*v**2/19 + 3906*v/19 + 7804/19 = 0.
-1951, -2
Factor 2*n**3 + 898*n**2 + 12150*n - 13050.
2*(n - 1)*(n + 15)*(n + 435)
Determine q, given that -2808761476096*q**2 + 6703744*q - 4 = 0.
1/837968
Suppose -3*c**3 - 3684*c**2 - 86613*c + 90300 = 0. What is c?
-1204, -25, 1
What is x in 6*x**3 + 6047*x**2 + 1581788*x + 29040284 = 0?
-494, -119/6
Solve i**4/6 - 43*i**3/6 - 301*i**2/6 + 343*i/6 = 0 for i.
-7, 0, 1, 49
Suppose -3*x**3 - 525*x**2 - 19149*x + 344253 = 0. What is x?
-97, -91, 13
Factor 36*p**3 - 316*p**2 - 4480*p + 40400.
4*(p - 10)**2*(9*p + 101)
Factor 2*v**2/9 - 18308*v/9 + 2034.
2*(v - 9153)*(v - 1)/9
Solve 69405561*j**3 + 3609122496*j**2 + 1732852*j + 208 = 0.
-52, -2/8331
Find z such that -2*z**4/5 - 1174*z**3/5 + 1176*z**2/5 = 0.
-588, 0, 1
What is c in -8*c**5/9 - 1051162*c**4/9 + 1839554*c**3/9 - 525590*c**2/9 - 87598*c/3 = 0?
-131397, -1/4, 0, 1
Factor 5*b**3 + 23560*b**2 + 27777225*b + 55460250.
5*(b + 2)*(b + 2355)**2
Suppose -d**4/2 - 209*d**3/2 + 5763*d**2/2 - 20295*d/2 + 7371 = 0. What is d?
-234, 1, 3, 21
Solve 2*q**4 - 140*q**3 + 334*q**2 + 4460*q + 6432 = 0 for q.
-3, -2, 8, 67
Determine v, given that -5*v**5/4 - 125*v**4 + 9885*v**3/2 - 17560*v**2 - 19765*v/4 + 17685 = 0.
-131, -1, 1, 4, 27
Suppose -i**4/10 + 2649*i**3/10 - 1318*i**2/5 - 15888*i/5 = 0. What is i?
-3, 0, 4, 2648
Determine u, given that -u**4 - 33*u**3 - 212*u**2 - 300*u = 0.
-25, -6, -2, 0
Factor 2*k**4/3 + 104*k**3/3 - 494*k**2 + 1152*k.
2*k*(k - 9)*(k - 3)*(k + 64)/3
Factor w**4/2 + 6325*w**3 + 40119313*w**2/2 + 359538300*w + 1615620168.
(w + 9)**2*(w + 6316)**2/2
Factor j**2/3 + 44331*j + 132992/3.
(j + 1)*(j + 132992)/3
Find w, given that 4*w**5 - 28*w**4 - 299*w**3 - 274*w**2 + 1267*w + 1274 = 0.
-7/2, -1, 2, 13
Factor -5*r**4 - 100*r**3 - 345*r**2 + 450*r.
-5*r*(r - 1)*(r + 6)*(r + 15)
Suppose 3*g**4/2 - 3765*g**3/2 - 36189*g**2 - 153030*g + 191100 = 0. Calculate g.
-10, 1, 1274
Factor -5*q**3 - 42355*q**2.
-5*q**2*(q + 8471)
Solve -2*u**4 - 250*u**3 - 8032*u**2 - 15080*u = 0.
-65, -58, -2, 0
Factor 4*p**2 - 12798888*p + 10238220877284.
4*(p - 1599861)**2
Factor x**4 - 119*x**3 - 6705*x**2 - 107325*x - 553500.
(x - 164)*(x + 15)**3
Factor p**5/4 - 95*p**4/2 - 1791*p**3/4.
p**3*(p - 199)*(p + 9)/4
Factor 5*g**2 - 400400*g + 8016008000.
5*(g - 40040)**2
Factor 2*j**3/19 + 122646*j**2/19 + 245286*j/19 + 122642/19.
2*(j + 1)**2*(j + 61321)/19
Factor 4*m**3/3 - 944*m**2/3 + 4144*m.
4*m*(m - 222)*(m - 14)/3
Factor -f**3/8 + 107*f**2/2 - 421*f/8 - 1281/4.
-(f - 427)*(f - 3)*(f + 2)/8
Factor -24*k**2 - 94180*k - 15696.
-4*(k + 3924)*(6*k + 1)
Find r, given that -4*r**2 - 2724608*r - 463968047104 = 0.
-340576
Factor -d**2 - 7269*d + 14542.
-(d - 2)*(d + 7271)
Find t such that t**5/4 + 255*t**4/4 + 1507*t**3/4 + 3249*t**2/4 + 748*t + 249 = 0.
-249, -2, -1
Let y**5/4 + 1043*y**4/4 + 6187*y**3/4 - 36247*y**2/4 + 12439*y - 5185 = 0. Calculate y.
-1037, -10, 1, 2
Factor 3*a**2/4 + 111*a/2 + 1008.
3*(a + 32)*(a + 42)/4
Factor 5*c**2 - 12712570*c + 8080471800245.
5*(c - 1271257)**2
Find m such that 60*m**3 + 41864*m**2 - 53108*m + 11184 = 0.
-699, 4/15, 1
Solve -1965*o**2 - 6080*o - 3180 = 0.
-318/131, -2/3
Solve j**2/4 + 285349*j/2 + 81424051801/4 = 0.
-285349
Determine a, given that -3*a**4/2 + 123*a**3 - 153*a**2/2 - 3645*a = 0.
-5, 0, 6, 81
Let 2*c**3 - 274*c**2 + 3950*c - 9438 = 0. What is c?
3, 13, 121
Determine j, given that 2*j**2 - 128*j/3 - 2584/3 = 0.
-38/3, 34
Factor 4*v**2/3 + 348584*v/3 + 7594425316/3.
4*(v + 43573)**2/3
Let o**5/3 - 3622*o**4/3 + 3091318*o**3/3 + 345598964*o**2/3 + 681909481*o/3 + 339405458/3 = 0. What is o?
-98, -1, 1861
Let -2*r**2/5 - 1380*r + 6902/5 = 0. What is r?
-3451, 1
Factor 5*f**2 + 405*f + 8100.
5*(f + 36)*(f + 45)
Suppose q**3/4 - 131*q**2/4 + 3895*q/4 - 33573/4 = 0. What is q?
19, 93
Factor 5*n**3 + 96750*n**2 - 387105*n - 483850.
5*(n - 5)*(n + 1)*(n + 19354)
Solve -4*i**2 - 77764*i + 388920 = 0 for i.
-19446, 5
Factor
|
{
"pile_set_name": "DM Mathematics"
}
|
n factor of n and 40.
10
Suppose -29 = -4*j - 3*b, -16 = -5*b - 1. What is the greatest common divisor of j and 5?
5
Let a be (-24)/6 + (-3)/(-1). Let x be -11*(0/(-3) + a). Calculate the highest common factor of 88 and x.
11
Suppose 4*z - 585 = -9*z. What is the greatest common factor of z and 9?
9
Suppose 455 = 6*w - w. Suppose 2*y + 70 = -2*p, 4*p = 3*y - 0*y + w. Let h be 4/10 + y/(-5). What is the highest common divisor of 49 and h?
7
Suppose 4*v - 1 - 1 = -r, 4*r + 5*v - 19 = 0. Suppose r*p - p - 65 = 0. What is the greatest common factor of p and 143?
13
Let a be (-1)/2 + (-1)/(-2). Suppose a*d - 3*d = -75. Calculate the highest common divisor of d and 5.
5
Let q = -13 - -69. Suppose -g = -5*g - 4*j + 32, -j + 22 = 3*g. What is the highest common factor of g and q?
7
Let d(b) be the second derivative of -2*b**3/3 - 3*b**2/2 + 3*b. Let z be d(-4). What is the highest common factor of 13 and z?
13
Suppose -4*v + 68 = -3*h - 93, 5*v - h - 193 = 0. What is the highest common factor of v and 57?
19
Let m(h) = -19*h + 2. Let c be m(-3). Suppose 5*j - 4*q - 262 = 0, 0*j + j - 3*q - c = 0. Let t = -35 + j. What is the highest common factor of 30 and t?
15
Let t(p) = 7*p**2 - 23*p + 26. Let i(s) = 3*s**2 - 11*s + 13. Let k(c) = 5*i(c) - 2*t(c). Let g be k(9). Calculate the highest common divisor of 26 and g.
13
Let c = 0 + -3. Let g be 4/(-2) - (-1 - 16). Let n be c/g - (-108)/15. What is the highest common factor of 35 and n?
7
Let i be 9/(-2)*-6 + -1. Let c(g) = 25*g - 14. Let p be c(12). Calculate the greatest common divisor of i and p.
26
Let d = 0 + 2. What is the greatest common factor of d and 2?
2
Suppose -3*p - 17*p + 500 = 0. Suppose 5*g - 20 = 30. What is the greatest common divisor of p and g?
5
Suppose -g + 2 + 78 = 0. Calculate the highest common divisor of 16 and g.
16
Suppose -4*d = 3*x - 147, -x - 20 = -2*d + 51. Calculate the highest common factor of 12 and d.
12
Let a be ((-8)/10)/(2/(-25)). Let i be a/(-2 - 5/(-2)). Suppose 5*k - i = -0*k. What is the highest common divisor of 10 and k?
2
Suppose -4*a - v - 15 = -3*a, 4*v - 24 = 3*a. Let t be 8/a + 664/6. Calculate the highest common factor of 22 and t.
22
Suppose 3*s = 2*s + 4. Let a(y) = 2*y**2 - s*y - y**2 + 0 + 2. Let d be a(4). Calculate the greatest common divisor of d and 2.
2
Suppose -143 = -t - 23. Let x be 3/18*3*t. What is the greatest common divisor of 12 and x?
12
Suppose o + 4*y = -8, -21 = -5*o + 3*y + 8. Suppose k = o*k - 3. Suppose n = k + 27. What is the highest common divisor of n and 7?
7
Suppose 3*x + 3*p - 25 + 1 = 0, 0 = -2*x - p + 14. Let r be 1*(1*148 + -2). Suppose 5*l - s = r - 27, -4*s = -4. What is the greatest common divisor of x and l?
6
Let s = 22 + -11. Calculate the highest common divisor of s and 88.
11
Let i(c) = -8 + 2*c - 3*c + 29. Let z be i(9). What is the greatest common divisor of z and 84?
12
Suppose 5 = -5*k, -4*n - 4 = -k - 1. Let m(w) = -16*w - 1. Let t be m(n). Calculate the greatest common divisor of t and 165.
15
Let z(m) = -m**2 + 6*m + 5. Let u be z(5). Suppose -o = -3*o - 6, 0 = 3*x + o - 327. What is the greatest common factor of x and u?
10
Let d be (-3)/(6 + -3)*14. Let c = 34 + d. What is the highest common divisor of 30 and c?
10
Let v be 17 - -9 - (2 - -2). Calculate the greatest common divisor of v and 176.
22
Let w be (-1082)/(-4) - 3/12*2. What is the greatest common divisor of w and 30?
30
Let n = 5 + 30. Suppose 0 = -4*o + 17 + n. Suppose -6*r + 3*r = -39. What is the greatest common factor of o and r?
13
Let a(i) = -25*i + 19. Let x be a(-6). Suppose 4*h - 2*w - 46 = 120, -4*h = -3*w - x. What is the highest common divisor of h and 5?
5
Suppose -2*w + 3 + 7 = -5*o, -2*w + 10 = -3*o. Suppose l + 4*l - 135 = 0. Suppose o = -2*v + 21 + l. Calculate the highest common factor of v and 12.
12
Let x be 222/4 - (-1)/2. Let l(c) = -c. Let h(z) = z**3 + 10*z**2 + 2*z + 12. Let s be h(-10). Let j be l(s). Calculate the greatest common divisor of x and j.
8
Let c(l) = l**3 + 11*l**2 - 7*l. Let n(i) = 2*i**3 + 10*i**2 - 7*i. Let y(b) = 3*c(b) - 2*n(b). Let u be y(12). Calculate the highest common factor of 15 and u.
15
Let a be (4/2 - -1) + -11. Let v = a - -5. Let o be v - -51*(3 + -2). What is the highest common factor of o and 16?
16
Let n be (-264)/(-15) - 2/(-5). Suppose 0 = -2*s + n + 2. Calculate the greatest common divisor of 110 and s.
10
Let s = 170 - 162. What is the highest common divisor of s and 10?
2
Let a = 8 + -4. Suppose 0*d + 12 = a*d. What is the highest common divisor of 30 and d?
3
Let j = -559 + 1105. Suppose -4*a + j = -102. Calculate the highest common factor of a and 18.
18
Let d be (2/6)/(6/342). Calculate the highest common factor of d and 19.
19
Let w(v) = -v**2 - 9*v + 10. Let j be w(-9). Suppose -j = -2*x + 54. Calculate the greatest common factor of 16 and x.
16
Let v(q) = 3*q**2 + 5*q - 5. Let x be v(5). Suppose x = 5*n + 5*u, 6*n = 3*n + u + 37. Calculate the highest common factor of n and 7.
7
Let k(s) = -s + 9. Let z be k(9). Let f be 158/2 + z + 2. Suppose 0 = 3*d - 5*t - 123, 2*d - t - 2*t = f. Calculate the greatest common factor of d and 4.
4
Let y = 324 + -204. Calculate the highest common factor of 12 and y.
12
Let s = 7 - 4. Let c(y) be the second derivative of -y**3/6 - 2*y**2 - 7*y. Let w be c(-5). Calculate the highest common factor of s and w.
1
Let u = 31 - 45. Let b = -7 - u. Suppose 4*q - 36 = 2*t, -q = t - 2*t - 11. Calculate the highest common divisor of q and b.
7
Let n = -70 - -102. Suppose 2*z = n - 10. Let a be (2 - 1)*(1 - 0). What is the highest common divisor of z and a?
1
Let s(f) = f**2 - 3*f - 12. Let i be s(-6). Calculate the greatest common divisor of i and 14.
14
Suppose -4*l - 2*y + 262 = 0, 2*l - 257 = -2*l + 3*y. Calculate the greatest common factor of l and 10.
5
Suppose 0 = x + 4*k - k - 29, 51 = 2*x - k. What is the greatest common divisor of 234 and x?
26
Let s = -544 + 214. Let u(h) = 24*h - 8. Let b be u(-7). Let d = b - s. Calculate the highest common divisor of 14 and d.
14
Let x(y) = 2*y**2 - 5*y + 3. Let i be x(4). Let h be (-1)/(i/(-18))*-490. Let g be ((-2)/(-4))/((-6)/h). What is the highest common divisor of 7 and g?
7
Suppose 110 + 289 = 3*b + f, 2*b = -4*f + 276. Calculate the greatest common factor of b and 12.
12
Let t(y) = y + 42*y**3 - 7 + 7. Let z be t(-1). Let l = -31 - z. Calculate the greatest common factor of 4 and l.
4
Let z = -34 + 58. Suppose -3*x - 4*g = -x + 12, -4*g - z = -4*x. Let v be 24/(-84) + (-256)/(-14). What is the highest common factor of v and x?
2
Suppose -5*c = 3*t - 18, 2 - 10 = 2*t. Let u be (c/2)/(2/10). Suppose -5*q + 80 = w, -3*w + 444 = 2*w + 3*q. Calculate the highest common factor of w and u.
15
Let a(n) = n**3 + 4*n**2 - 2*n - 1. Let w be a(2). What is the highest common divisor of 323 and w?
19
Suppose 4*t + 23 = 3. Let g(h) = -h - 3. Let b be g(t). Suppose b*j - 27 = -j. Calculate the greatest common divisor of j and 1.
1
Let h = -3 + 10. Suppose -2*z = -0*z + 14. Let w(p) = -3*p - 7. Let m be w(z). What is the highest common divisor of m and h?
7
Suppose -16*x + o = -13*x - 465, -4*x + 3*o = -615. What is the highest common divisor of x and 24?
12
Suppose -2 = 5*i + 33. Let v be -2*(1260/8)/i. What is the highest common factor of v and 5?
5
Let b(n) = -21*n - 1. Let v be b(-1). Suppose 0 = -2*l + 7*l - 150. What is the greatest common divisor of l and v?
10
Let r(w) = -w**2 + 2. Let y(v) = -v**3 + 3*v**2 + 9*v + 5. Let x be y(5). Let b be r(x). Calculate the highest common divisor of 5 and b.
1
Let p = 135 - 47. Let x(l) = l - 5. Let o be x(0). Let z be (-2)/5 + (-42)/o. Calculate the highest common divisor of z and p.
8
Let w be 1/(-1 - (-10)/8). Suppose -w*x = 3*s + 41, 0 = 5*x - 4*s + 1 + 58. Let d = x + 18. What is the highest common divisor of d and 1?
1
Suppose i + 20 = 3*i. Suppose -4*k - 116 = -7*k - 4*c, 3*c = 4*k - 188. Let b be (-1)/(-3) + k/3. Calculate the greatest common divisor of i and b.
5
Suppose 1 = -2*r - 1. Let g be 9/(r - (-2 - 0)). What is the greatest common factor of g and 3?
3
Let y be 91/7 - (-4 - -1). Calculate the highest common factor of 32 and y.
16
Suppose -q + 1 = -4. Suppose -2*s - 2*m - 65 = -q*s, -4*m = -3*s + 55. What is the greatest common factor of s and 5?
5
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is the closest to 213/7? (a) 1.5 (b) -4 (c) -17 (d) 0
a
Which is the nearest to -1/3? (a) 24006/11 (b) 28 (c) -2/3
c
Which is the closest to -1? (a) -0.1 (b) -2/17 (c) 1809.3 (d) 1
b
What is the nearest to -1 in 5, 1/3, 71, 1/7, 1.5, 1?
1/7
Which is the closest to -2? (a) -1 (b) 39/5 (c) -2/579 (d) 1 (e) 2/5 (f) 0.3
a
Which is the closest to -1/2? (a) -913 (b) -1 (c) 183/98
b
Which is the nearest to -1? (a) 0.07 (b) 160 (c) 0.5 (d) -15/49
d
What is the nearest to 2 in 0.02, 382, 0, -0.5, -1.28?
0.02
What is the nearest to 16301456 in -1/5, 4/3, 3/5?
4/3
What is the nearest to -0.1 in 3, 216, -2/13, 66?
-2/13
What is the nearest to 10/49 in -4, 0, -1/4, 0.4, 21?
0.4
What is the closest to -280 in -18, 0.3, -11, 5?
-18
Which is the closest to -451? (a) 12 (b) 9/4 (c) -30
c
What is the closest to -0.3 in 31, -2, 70, -8, 3/7?
3/7
What is the nearest to 0.1 in -1/4, 83/11, 18, -0.4?
-1/4
What is the nearest to 0 in -0.96, 2, -14/5, -4, 0.3, 198?
0.3
What is the closest to -18 in -0.4, -3/5, 1/5, -1, -320?
-1
What is the nearest to 2 in -2/97, -14, -2/3, -64, -0.3?
-2/97
Which is the closest to 1.2? (a) -127 (b) -8 (c) -9.3
b
Which is the closest to 2? (a) -0.6 (b) 0.4 (c) 1 (d) 3.7 (e) -9 (f) 12
c
What is the nearest to 831 in 998, 2/15, 2?
998
What is the closest to -1/114 in -1/7, -12, -5/2, 1/2?
-1/7
Which is the nearest to -1? (a) -3 (b) -2671/4 (c) -0.4 (d) -1/8 (e) 25 (f) 0
c
Which is the closest to 2/13? (a) 39.34 (b) 6/11 (c) 7/2
b
What is the nearest to 8/17 in -1/32, -2, -11, -0.2?
-1/32
What is the nearest to 15 in 2, 268/33, -472?
268/33
Which is the nearest to 0? (a) -7 (b) -6214 (c) 1.4
c
Which is the closest to -2? (a) -9 (b) -1/3 (c) -2.9 (d) -165 (e) 0.3
c
What is the closest to 51/10 in 31, 152, -1/3?
-1/3
What is the nearest to 0.12 in 1, 455642, 0.1?
0.1
What is the closest to -0.1 in -0.4, -8/7, -0.06, 434, 51, -6?
-0.06
What is the nearest to 1/3 in 0, 9/61, -219?
9/61
Which is the closest to 0.5? (a) 2.8 (b) 22 (c) 4/61
c
What is the closest to -0.9 in -5/4, 0.031, -46, -2/19, -3?
-5/4
Which is the nearest to 4/5? (a) 6 (b) -2345 (c) 1 (d) -1/4 (e) 0
c
What is the nearest to -0.35 in 26, -0.1, -1/15, -3/4, 0.01?
-0.1
Which is the closest to -18? (a) 2/21 (b) 2223 (c) -1/5 (d) -4/3
d
Which is the closest to 3? (a) 1/8 (b) 0.5 (c) 0.018 (d) -7.5 (e) -4
b
Which is the nearest to -0.06? (a) -109 (b) -5/4 (c) 2/23 (d) 6.3
c
What is the closest to 0.2 in 132.6, 28, 0.04?
0.04
Which is the nearest to 1? (a) 15 (b) -2 (c) -15.9 (d) -3/11 (e) -0.3
d
Which is the closest to 0.049? (a) -0.001 (b) 79 (c) 2/3 (d) -3
a
What is the nearest to 0.2 in 13/2, -0.1, 4270, 7?
-0.1
Which is the closest to -792/53? (a) -3 (b) -89 (c) -1/5
a
What is the nearest to -4740 in 2/17, -24, 0.011?
-24
Which is the closest to 0? (a) -4 (b) 5 (c) -15/2 (d) 2/11 (e) 1
d
Which is the nearest to 2? (a) 25109 (b) 3 (c) 2.5
c
What is the closest to -1/2 in -2/21, -2/5, 25682, 1?
-2/5
Which is the closest to 1? (a) -321 (b) -2/3 (c) 4 (d) -0.28 (e) -0.26
e
What is the closest to -8/3 in 1, 2/85, -0.1, 5?
-0.1
Which is the nearest to -2/49? (a) 5 (b) 2 (c) -2/9 (d) 20 (e) -13 (f) 2/13
c
What is the closest to 1.09 in 0.5, 3, 4/9, 1/12?
0.5
Which is the closest to -0.4? (a) -0.1 (b) -1.07241 (c) 1/6 (d) 0.5
a
What is the closest to -0.0151 in -5/3, 5, -0.2, -0.04, 0.4?
-0.04
What is the nearest to 0 in -4/7, -1.6, 1, -3279?
-4/7
What is the closest to 26/223 in 71, -1.4, -4?
-1.4
Which is the nearest to 0.3? (a) -0.5 (b) 0.1 (c) -0.2 (d) -1/102 (e) -5 (f) -4
b
Which is the closest to -2/457? (a) -4/7 (b) 1/3 (c) 1 (d) -0.16 (e) 103
d
Which is the closest to -29? (a) -2/7 (b) -3/4 (c) -9.2 (d) 2 (e) 59
c
What is the closest to 3 in -1.542, -1/5, 0.38, -12?
0.38
Which is the nearest to 0.01? (a) -0.5 (b) 65 (c) 3 (d) -20 (e) 0.3
e
What is the nearest to -80 in 50, 64, -43?
-43
What is the closest to 70673 in 0.1, 5, -2, 1, -7/2, 1/5?
5
What is the nearest to 0 in 17, 1, -0.5, -75, 0.3?
0.3
Which is the closest to 0.1? (a) -1.3 (b) 38 (c) 9.45 (d) -1/2 (e) 3
d
Which is the closest to -2/11? (a) -0.5 (b) -7 (c) -3.6 (d) 0.11 (e) -0.2
e
What is the closest to -1/2 in -3/2, -2/79, 1/7, 457?
-2/79
Which is the closest to 0.13? (a) -0.3 (b) -2/7 (c) 0.13 (d) 1 (e) -2/3
c
What is the nearest to 0.1 in -3, 4/7, -72, 0.039?
0.039
Which is the nearest to 82? (a) 14/43 (b) -3 (c) -22 (d) -0.5 (e) 0.2
a
Which is the closest to -0.1? (a) -314 (b) -6/121 (c) 1/8 (d) -5 (e) -4/3 (f) -1/2
b
What is the nearest to 284/3 in 2/9, 2/3, -2, -42/11?
2/3
What is the closest to -1 in -1457, 2810, -4/3, 0?
-4/3
Which is the nearest to -15/28? (a) -0.1 (b) -553/6 (c) 5
a
Which is the nearest to 1? (a) -3/7 (b) 65 (c) 1.607 (d) -1 (e) 0.1 (f) 5
c
Which is the closest to 0.5? (a) 9.3 (b) -0.1 (c) -0.4 (d) -3/5
b
Which is the nearest to -66? (a) 20/17 (b) 2 (c) 8
a
Which is the closest to -3? (a) 0.4 (b) -2639 (c) 3 (d) -3.8
d
What is the nearest to -27 in 2/9, -62, -0.4, 6, -1?
-1
What is the closest to -1 in 16/15, -138, -18?
16/15
What is the closest to 21 in -1/4, 0.2, -2399, 0.1?
0.2
Which is the nearest to -3? (a) -129.3 (b) 2/23 (c) -2.509
c
Which is the closest to 1/4? (a) -1 (b) -12.2061 (c) -2 (d) 1/3
d
Which is the closest to -150? (a) 0.1 (b) -0.2 (c) -1 (d) -5/4 (e) 26
d
Which is the nearest to 0? (a) 0.5 (b) 5 (c) -7701 (d) -1/7 (e) 4/7
d
Which is the closest to 0? (a) 1 (b) -3 (c) 0.2 (d) -79079.6 (e) 4
c
What is the closest to 20 in 2, 1, -4, 2/11, -6/169?
2
What is the closest to -16 in -1, -18, -67.9, -0.4, -2/11?
-18
What is the closest to -7.3 in 1/3, 22/5, -0.01, -2, 1?
-2
What is the nearest to 2/3 in 13/2, 0.1, -2, 21.47, 2/15?
2/15
Which is the closest to -0.01? (a) -2/785 (b) -0.64 (c) 30 (d) -0.5
a
Which is the nearest to 0? (a) 300 (b) -1 (c) -162 (d) 0
d
Which is the nearest to -9? (a) -4/31 (b) 2/3 (c) -0.0561 (d) -1
d
What is the closest to 8 in 4, -1, -6332, 2/15, 3/2?
4
Which is the nearest to 0.1? (a) -4034 (b) -2/5 (c) -33/47
b
What is the nearest to 29 in 107, 24/11, -2/3?
24/11
Which is the closest to 0.1? (a) -3 (b) 113/44 (c) 2.2 (d) 1 (e) -2/17 (f) 3/5
e
What is the closest to 72790 in -37, 21, -3?
21
Which is the closest to 3? (a) -2/7 (b) -180 (c) 3.85 (d) 0.3 (e) -2
c
What is the nearest to 3/2 in 2/3, 5, 16/45, -242?
2/3
What is the closest to 456 in -4/69, 0.049, 0.3, 3?
3
What is the nearest to -13 in 123/2, 1/79, 0, 2/15, -1/6, 1/4?
-1/6
What is the nearest to -3269270 in -0.3, 2/17, 0?
-0.3
Which is the nearest to -0.1? (a) -1 (b) 1 (c) -1/4 (d) 0 (e) -1/67 (f) 0.101
e
What is the closest to -6 in -435, 403, 14, 4?
4
What is the closest to 545/2 in -0.064, -56, 0?
0
What is the nearest to -493 in 80, 4/5, 0.7?
0.7
What is the nearest to -13 in 30.2, 11, -2/7?
-2/7
Which is the closest to 0? (a) -5718 (b) 0 (c) -1/19
b
What is the closest to -25 in -24, 3520, -4, -0.5, -6?
-24
What is the closest to 32 in -0.2, -1, 0.5, 1, -22, 0.4?
1
What is the nearest to 1 in 3/14, 57, 6, -2/65?
3/14
Which is the closest to -3? (a) 11 (b) 3 (c) -931 (d) 0.14 (e) -1/2
e
What is the closest to -0.2 in -0.01, 0.5, -1, 1/4, 10, 7860?
-0.01
What is the nearest to 31 in 7, -0.06, 0.3, 57.54?
7
Which is the nearest to -6? (a) 40 (b) 4/101 (c) -3/4 (d) -0.211
c
What is the nearest to -0.1 in -192, 2, -0.28818?
-0.28818
What is the closest to 1/3 in 15, -119.882, 0.1, -2?
0.1
Which is the nearest to -0.08? (a) -4 (b) -28712 (c) 0.2 (d) 13
c
What is the closest to 0.05664 in -1/21, 15, -20?
-1/21
What is the closest to 666 in 0, 3.2, 4, 26?
26
Which is the closest to -0.372? (a) 0 (b) -41 (c) 620
a
Which is the nearest to 5/3? (a) -2/13 (b) 2 (c) -0.1 (d) -1.34 (e) -5.42
b
What is the nearest to 0.01 in -24, 70, -0.1, 5, 1/2?
-0.1
What is the closest to -0.13 in 32602, 12.2, 5?
5
Which is the nearest to 22? (a) 1289 (b) 1/3 (c) -2/15 (d) -1 (e) -3/8
b
Which is the nearest to 0.1? (a) -2 (b) -56 (c) 359 (d) 5
a
Which is the closest to -0.14? (a) 0.2 (b) 5 (c) 0.4 (d) 340
a
What is the nearest to 2/21 in
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.54?
-0.4
What is the nearest to -3/2 in -1, 4, 4/5, -12?
-1
What is the closest to -31 in 0.5, -1, 12?
-1
Which is the closest to -1? (a) -1 (b) 1/2 (c) -14
a
What is the closest to 4/31 in -1, -1/7, 0, -0.11?
0
Which is the closest to 1/3? (a) 0.8 (b) -11 (c) -4
a
Which is the nearest to 1/2? (a) 1/2 (b) -32 (c) 0 (d) -2/13
a
What is the nearest to 0.1 in -2/3, 0.4, -96?
0.4
What is the closest to -1/3 in 2/9, 2/5, 7?
2/9
Which is the nearest to -1? (a) -1 (b) -72 (c) -3
a
Which is the closest to -4/9? (a) 2/11 (b) 7/3 (c) -2
a
Which is the closest to 1/4? (a) -2 (b) 6 (c) -12/11
c
What is the nearest to 0.1 in -4, 608, -0.4?
-0.4
Which is the nearest to 0? (a) 1 (b) 3/10 (c) -5 (d) 1/5
d
Which is the nearest to -2/5? (a) -18 (b) -6 (c) -1
c
What is the closest to 0 in 2/9, -35, 4/9?
2/9
What is the closest to 2/3 in -0.29, -1/4, 0.11?
0.11
Which is the nearest to -1? (a) 0.4 (b) 5 (c) 14/15 (d) 1
a
Which is the nearest to -5? (a) -181 (b) 5 (c) -3
c
Which is the nearest to 0.2? (a) 1/3 (b) -0.2 (c) -0.139
a
What is the nearest to -2 in 4, 16, 1/5?
1/5
Which is the nearest to -2/3? (a) -4 (b) 0 (c) -136
b
Which is the nearest to 0.3? (a) 1 (b) -69 (c) 5
a
What is the closest to -13 in 0, 0.4, 2/7, -3/8?
-3/8
What is the nearest to 1/4 in -13/2, -2, -0.4, 4?
-0.4
What is the closest to -7 in 2/3, 1/7, 2, 12?
1/7
Which is the closest to -0.1? (a) 42 (b) -0.4 (c) 1/16
c
What is the nearest to 1 in -10, 0.05, -1/10, 3?
0.05
Which is the closest to -0.1? (a) 0.2 (b) -1/3 (c) -3 (d) 3/4435
d
What is the closest to -1 in -0.3, 2, -3, -1.4?
-1.4
What is the closest to -2 in 27, -0.05, -5, 0.8?
-0.05
What is the closest to -4/9 in 0.1, 0.18, 1/2?
0.1
Which is the closest to 0? (a) -1/5 (b) 0.53 (c) 0 (d) -5
c
Which is the closest to -2/7? (a) -1419 (b) -0.2 (c) -1
b
Which is the closest to 0? (a) 4 (b) 1 (c) -1/7 (d) 2/13
c
What is the closest to -5 in -4, -0.2, -55?
-4
What is the closest to 1 in 1/2, -1, 5, -14?
1/2
What is the closest to -1 in 0.3, -0.3, 3, -10/3?
-0.3
Which is the nearest to 4? (a) 3/7 (b) 0.3 (c) -1
a
Which is the closest to 2? (a) 1/3 (b) -4 (c) 2/3 (d) -2/11
c
Which is the closest to -0.1? (a) 0 (b) 2.1 (c) -2/11 (d) 3
c
Which is the nearest to 1.4? (a) -4 (b) 0.7 (c) 1/4
b
Which is the nearest to -1? (a) -5 (b) 2/9 (c) -0.5 (d) -1
d
What is the nearest to -2/13 in 18, -2/11, 0?
-2/11
Which is the nearest to -9/2? (a) -3/5 (b) 2/5 (c) -1/5 (d) -2
d
Which is the nearest to -0.1? (a) -11 (b) 3 (c) -119
b
What is the nearest to -1 in -11, -4, 7/6?
7/6
Which is the nearest to 1? (a) -7.5 (b) -1/3 (c) 0.5 (d) -2/3
c
Which is the closest to -2/5? (a) -0.09 (b) 3/4 (c) -1/4
c
What is the nearest to -2 in -0.02, -1, -0.3, -4?
-1
What is the nearest to -0.08 in -3, 4, 36?
-3
What is the nearest to 0 in 4, 0, -5, -0.7?
0
What is the closest to -2 in -0.4, 1, 0.4?
-0.4
Which is the closest to -0.1? (a) 3/4 (b) 5 (c) 2 (d) -38
a
What is the closest to 0.5 in -5, 0, -2/11, 2/11?
2/11
Which is the closest to -2/5? (a) 0 (b) -2 (c) -1/364
c
What is the nearest to -2/7 in 4, -0.9, 0.33?
-0.9
What is the nearest to 64 in -4, 3, 28, 1/10?
28
What is the closest to -2/7 in -0.2, -0.5, -1, 4?
-0.2
What is the nearest to -0.1 in 4, -3, -1.6, -2/5?
-2/5
What is the nearest to 0.1 in 3, -1/3, 15?
-1/3
Which is the closest to 8? (a) -0.2 (b) 0.3 (c) 3/2 (d) -1/3
c
Which is the closest to 2/7? (a) -0.2 (b) 8 (c) -0.4 (d) -3
a
Which is the closest to 1/5? (a) 0 (b) 0.2 (c) 4/21
b
Which is the closest to -24? (a) -3 (b) 2 (c) 0.3 (d) 2/33
a
Which is the nearest to -0.04? (a) -0.1 (b) -2/3 (c) 1
a
What is the nearest to -0.1 in 22, -3/47, -1?
-3/47
What is the nearest to -27 in 4, -1, 3, -0.08?
-1
What is the nearest to 3/2 in -0.2, -4, 0.1, -0.3?
0.1
What is the closest to 2/83 in -0.5, 5/2, 0.5?
0.5
What is the closest to 0 in 0.1, 1, -2/23, -30?
-2/23
What is the closest to 0.03 in 0.4, 1, 0.3, 1/2?
0.3
Which is the closest to 0? (a) 0.03 (b) 5 (c) -0.4
a
Which is the closest to 0.9? (a) 1 (b) 15 (c) -0.3
a
What is the nearest to -0.02 in 2/13, 0.2, -1/2, -2?
2/13
What is the nearest to -8 in -3/5, -1/6, 4, -5?
-5
What is the closest to -4.5 in 2.1, 1, -5?
-5
Which is the closest to 2/5? (a) 0.4 (b) -1/3 (c) 0.13
a
What is the closest to 1137 in 0.1, -1/6, 0.2?
0.2
What is the nearest to 2 in -1/6, 0.4, -1/13, 5?
0.4
What is the closest to 2/5 in -1, -0.2, -1/3, -19/13?
-0.2
Which is the nearest to 1? (a) 0.3 (b) -3 (c) -0.3 (d) 6
a
What is the closest to -43 in 3/2, 0.5, -47?
-47
What is the nearest to -1 in 5, 103/5, -1, 0.1?
-1
What is the closest to -0.1 in -0.4, -28, 3/2, 10?
-0.4
What is the closest to 0 in -4/9, -0.03, -65, -0.4?
-0.03
Which is the nearest to 1? (a) -7 (b) 1 (c) -23
b
What is the nearest to 0.1 in 17, 4, 1?
1
Which is the nearest to -4? (a) 5 (b) 2/7 (c) -1 (d) 3
c
What is the closest to -1 in 0.2, 3, 0, -4?
0
Which is the closest to 4? (a) -1 (b) 3 (c) -5
b
Which is the nearest to -17? (a) 0.5 (b) -2 (c) -0.1 (d) -0.5
b
Which is the closest to 24? (a) 1 (b) 0.1 (c) 2/5
a
Which is the closest to 16? (a) -0.2 (b) 0.3 (c) -0.4
b
Which is the nearest to -0.1? (a) -2/3 (b) -14 (c) -2/9
c
What is the nearest to 0 in -0.4, -0.3, 35, -6?
-0.3
What is the nearest to 1 in -0.4, 0.5, 2/3, 73?
2/3
Which is the nearest to 0? (a) -3 (b) -4/5 (c) -1.99 (d) -5
b
What is the closest to -0.31 in -0.3, 36/7, 2/7, 1?
-0.3
What is the closest to 9 in -0.4, -0.047, -4, 3?
3
Which is the nearest to 2/37? (a) -2 (b) 3/5 (c) 1 (d) 0.1
d
Which is the nearest to -58? (a) 0.3 (b) -1/4 (c) 3/2 (d) 3
b
What is the closest to 0.1 in -2, -2/7, 2, -0.1?
-0.1
What is the closest to 8 in 1/3, 0, 0.03?
1/3
What is the closest to 1 in -4, -3, 0.5, -5?
0.5
Which is the closest to 3? (a) 6 (b) 1 (c) -0.28
b
Which is the closest to -1? (a) 1/3 (b) -0.09 (c) -0.2
c
What is the nearest to -16/7 in -0.4, 3/5, 0.1?
-0.4
Which is the closest to -1? (a) -3 (b) 0.4 (c) 0.3
c
Which is the nearest to -2? (a) -0.53 (b) -0.5 (c) -1
c
Which is the closest to -2? (a) 11 (b) 1/4 (c) -5
b
Which is the nearest to 0.089? (a) 0 (b) 2/9 (c) 0.2 (d) -1
a
What is the nearest to -24 in -0.1, -0.5, 3, -13?
-13
What is the closest to 0.1 in -1/3, -12/11, -4/9, -0.6?
-1/3
Which is the closest to 0? (a) -2/5 (b) -1/6 (c) 0.1 (d) 2/7
c
Which is the closest to -1? (a) 3/2 (b) -5 (c) -0.37 (d) -0.1
c
What is the closest to -0.1 in -21, -3/8, -4?
-3/8
Which is the closest to -1? (a) -1 (b) 3 (c) -0.2
a
What is the closest to -2 in -420, 0.2, -2, -4/3?
-2
Which is the closest to -1? (a) -0.4 (b) -0.6 (c) -6 (d) -2
b
Which is the closest to 0.1? (a) 0.3 (b) 0.03 (c) 2 (d) -4
b
Which is the closest to 1? (a) -19 (b) 0 (c) -4/3 (d) -4/11
b
Which is the closest to -8? (a) -0.1 (b) 0 (c) -2 (d) 0.11
c
What is the closest to 0.27 in 7, 0, 1, 0.1?
0.1
What is the nearest to -0.1 in -6/7, -3, 479?
-6/7
What is the closest to -0.2 in 98, 0.4, -4, -1/3?
-1/3
Which is the nearest to 1/4? (a) -5 (b) 0 (c) 7
b
Which is the closest to 1? (a) -1.4 (b) -1 (c) -8 (d) 1
d
What is the closest to -2/7 in 3, 2, 6, 0.2?
0.2
Which is the nearest to -10? (a) -4 (b) 1/5 (c) -2
a
Which is the closest to -1.3? (a) -4/5 (b) -2/3 (c) 3/8
a
What is the closest to 0 in 3/7, -0.1, 2?
-0.1
Which is the closest to 9? (a) -0.2 (b) -2/9 (c) -0.1
c
What is the closest to -4 in -0.5, -0.3, 1/18?
-0.5
Which is the closest to -209? (a) 4/5 (b) 0.02 (c) 5
b
Which is the closest to -0.1? (a) 4/3 (b) 3 (c) 31 (d) -0.5
d
What is the nearest to 8/11 in 0.23, -0.4, 1/5?
0.23
What is the closest to -0.061 in 0.3, 0.04, -1/5?
0.04
What is the nearest to 18 in 2, 0.3, 5, 12?
12
Which is the closest to 0? (a) -15 (b) -2/3 (c) -3/4 (d) -5/13
d
What is the closest to 1 in -0.06, -1, 3/8?
3/8
What is the nearest to -0.2 in 449, -1, 3/7?
3/7
Which is the closest to 3? (a) 0.02 (b) -1 (c) -0.4
a
Which is the nearest to 1? (a) -0.5 (b) 0.5 (c) -1/3 (d) 0.4
b
What is the nearest to 2/5 in 2/7, 0.06, -3?
2/7
What is the nearest to 0 in 1, -0.4, -4?
-0.4
Which is the nearest to -1/3? (a) 1 (b) 4 (c) 0.0
|
{
"pile_set_name": "DM Mathematics"
}
|
63*z**4 - g*z + 4199*z**2 - 4199*z**2 wrt z.
1956*z**2
What is the second derivative of 343*u + 2015*u + 6053*u**3 - 3719*u**3 - 4198*u**3 wrt u?
-11184*u
What is the third derivative of 0 - 7289*t - 4921*t**2 + 7289*t + 3458*t**3 + 0 wrt t?
20748
Suppose -96*x - 14*x + 162 + 278 = 0. Let o(r) be the first derivative of -15*r**2 + 0*r + 17/4*r**x + 27 + 0*r**3. What is the second derivative of o(n) wrt n?
102*n
Let r = 133 + -74. Let d = r + -55. Differentiate 0 - d*i + 22*i + 5 - 1 wrt i.
18
Let k(h) be the second derivative of 1729*h**5/20 + 2255*h**4/12 + 3328*h. What is the third derivative of k(i) wrt i?
10374
Let i be 45/10*7/((-189)/(-12)). What is the first derivative of 15 - 40 + 98*v**2 + 18*v**i + 13*v**2 wrt v?
258*v
Let q(p) be the first derivative of 368*p**5/5 - 4*p**2 + 6917*p + 1844. What is the derivative of q(s) wrt s?
1472*s**3 - 8
Let x(k) = -1190*k**2 - 5*k + 561. Let r(d) = -1193*d**2 - 6*d + 560. Let z(u) = 5*r(u) - 6*x(u). Find the first derivative of z(a) wrt a.
2350*a
Let x(n) = -1997*n**2 - 2613. Let y(h) = -666*h**2 - 869. Let q(w) = 4*x(w) - 14*y(w). Find the first derivative of q(j) wrt j.
2672*j
Let l(j) be the third derivative of 0*j**3 + 0*j**6 + 0 + 2*j**2 + 7/12*j**5 + 0*j**4 - j + 7/30*j**7. What is the third derivative of l(v) wrt v?
1176*v
Let o = 201 + -195. What is the second derivative of -o - 2*f - 5*f**2 + 36*f**2 + 0*f**2 + 19 wrt f?
62
Let c(q) = -171*q**2 + 4*q - 222. Let z(x) = x**2 + 2*x + 1. Let l be 10/8 + (60/16)/5. Let k(f) = l*z(f) - c(f). Find the first derivative of k(s) wrt s.
346*s
Let i(n) = -1700*n**3 + 6242*n. Let j(h) = 3399*h**3 - 12482*h. Let b(t) = 5*i(t) + 2*j(t). What is the second derivative of b(k) wrt k?
-10212*k
Let i(f) = f**3 + 4*f**2 - 13*f - 4. Let y be 3 + (81/(-3))/3. Let t be i(y). What is the second derivative of 15*s**4 + 235*s**t - 235*s**2 + 6*s wrt s?
180*s**2
Let o(m) = -m**3 - 6*m**2 + 4*m + 7. Let u be o(-7). Suppose 7*z - u = -0*z. What is the third derivative of 10*j**2 - 6*j**2 + 4*j**3 - 16*j**2 + z*j**3 wrt j?
48
Let j(a) be the third derivative of -a**3 - 33*a + 0*a**5 + 33/70*a**7 + 0*a**6 + 1/24*a**4 + 0 + a**2. What is the second derivative of j(u) wrt u?
1188*u**2
Let n(k) be the third derivative of -539*k**6/120 - 605*k**3/6 + 24*k**2 - 1. What is the first derivative of n(g) wrt g?
-1617*g**2
Suppose 391 = 5*v + 3*n, -3*v = 2*n - 74 - 160. What is the second derivative of -64*w**2 + 39 - 40 - v*w + 30*w wrt w?
-128
Let b(c) be the second derivative of -1/6*c**4 + 0*c**2 + 4/5*c**6 + 106*c - 9/2*c**3 + 0 + 0*c**5. Find the second derivative of b(z) wrt z.
288*z**2 - 4
Suppose -4*u - 41 = -2*q + 33, 5*q = -3*u + 120. What is the derivative of -q*o + 27*o + 25 - 38*o**3 - 50 wrt o?
-114*o**2
What is the second derivative of 401*l**5 + 6776*l + 1129*l**5 - 2*l**3 - 452*l**5 wrt l?
21560*l**3 - 12*l
Let y(t) be the first derivative of -545*t**4/4 - 901*t + 1755. What is the derivative of y(u) wrt u?
-1635*u**2
What is the third derivative of -13*z**5 - 265 + 3*z**5 + 10*z**5 - 47*z**2 + 49*z**2 + 771*z**6 wrt z?
92520*z**3
Let w(k) be the first derivative of 0*k**2 - 236/3*k**3 + 62 - 251*k. What is the derivative of w(t) wrt t?
-472*t
What is the third derivative of -2*u**3 + 10 - 3 - 7426*u**6 - 110*u**2 + 109*u**2 + u + 2*u**3 wrt u?
-891120*u**3
What is the third derivative of -56369*c + 227 - 11711*c**4 + 12 + 56368*c - 8*c**2 wrt c?
-281064*c
Differentiate -2299698*h**2 - 254*h**3 - 4*h - 3039 + 7623 + 2299698*h**2 with respect to h.
-762*h**2 - 4
Let c(y) be the first derivative of -160*y**3/3 - 2672*y - 3436. What is the derivative of c(k) wrt k?
-320*k
Find the second derivative of 1471*h**4 + 890*h**4 - 915*h**4 - 6 + 840 + h + 1298*h**4 wrt h.
32928*h**2
Let n be 978/1141 - 242/28*-1. Let y(t) be the second derivative of -n*t**2 - 7*t + 0 + 5/3*t**3. Differentiate y(v) with respect to v.
10
Let a(k) = 75*k**2 + 4*k - 423. Let l(v) = 179 + 33 - 2*v - 29*v**2 - 9*v**2. Let u(m) = 2*a(m) + 5*l(m). Differentiate u(d) wrt d.
-80*d - 2
Let o(d) = -11201*d - 4170. Let u(x) = -33633*x - 12513. Let m(z) = -11*o(z) + 4*u(z). Find the first derivative of m(v) wrt v.
-11321
Let l(h) be the first derivative of 0*h**4 + 0*h**3 + 97/2*h**2 + 9*h**5 - 37 + 0*h. Find the second derivative of l(g) wrt g.
540*g**2
Let u(c) be the first derivative of 151*c**4/4 - 445*c**2 - 1241. What is the second derivative of u(g) wrt g?
906*g
Let m(b) be the first derivative of -17/2*b**2 - 18 + 0*b**3 - 3*b - 145/4*b**4. What is the second derivative of m(r) wrt r?
-870*r
Let j(k) be the first derivative of -8 - 31/4*k**4 + 0*k**2 - 33*k + 0*k**3. Differentiate j(s) with respect to s.
-93*s**2
Let l(k) = -18074*k**3 - 12430*k**2 - 5*k - 5. Let b(f) = 9038*f**3 + 6215*f**2 + 2*f + 2. Let n(a) = 5*b(a) + 2*l(a). Find the third derivative of n(w) wrt w.
54252
Let i = -150 - -152. Find the third derivative of 228*k**2 + 0*k**5 - 4*k**5 - 179*k**i - 5*k**3 wrt k.
-240*k**2 - 30
Let u(p) be the first derivative of -31*p**7 + 458*p**3 + 1379. Find the third derivative of u(q) wrt q.
-26040*q**3
Find the third derivative of 1081*n**2 - 337267*n**6 - 2*n**4 + 12*n**4 + 337324*n**6 wrt n.
6840*n**3 + 240*n
Let f(a) be the second derivative of 0*a**3 + 121*a - 7/10*a**6 + 0*a**2 + 0 + 11/3*a**4 + 1/20*a**5. Find the third derivative of f(n) wrt n.
-504*n + 6
Let t(j) be the third derivative of 197/24*j**4 - 23*j + 15*j**3 + 2*j**2 + 0. Find the first derivative of t(a) wrt a.
197
Let a be -1 - ((2 - 3) + -2). Suppose -3*s + 12 = 0, -4*r = -0*s - 2*s - 216. Find the second derivative of -28 - 31*g + r + 37*g**a - 28 wrt g.
74
Suppose l + 41 = -53. Let a = 96 + l. Find the first derivative of -30*h**2 + 3 + 7*h**2 - a + 3 wrt h.
-46*h
Let y(r) = 4399*r - 17175. Let f(i) = 1104*i - 4294. Let l(s) = -9*f(s) + 2*y(s). Find the first derivative of l(h) wrt h.
-1138
Let t(b) = -72*b**2 + 5*b - 42 - 3*b - 3*b + 63*b**2. Let p(x) = 8*x**2 + x + 41. Let c(r) = 6*p(r) + 5*t(r). Differentiate c(u) with respect to u.
6*u + 1
Let k(s) be the third derivative of 0*s**3 + 3/14*s**7 + 0*s + 5/12*s**4 + 4*s**2 + 1/60*s**5 + 0*s**6 + 0. Find the third derivative of k(o) wrt o.
1080*o
Let b be (-71)/(-1) + 4/(-4). Let g = -68 + b. Find the second derivative of -108 - 25*l**g + 15*l + 53 + 55 wrt l.
-50
Let p(o) = -2*o**3 + 4*o**2 + 877*o + 4148. Let t(s) = -2*s**2 - 2*s + 1. Let b(w) = p(w) + 3*t(w). What is the derivative of b(d) wrt d?
-6*d**2 - 4*d + 871
Find the third derivative of -3*x**4 - 3305*x**2 + 2*x**3 + 10*x**6 - 309*x**6 + 1696*x**6 wrt x.
167640*x**3 - 72*x + 12
Let i be 8/52 - (-1158)/78. What is the first derivative of -t + 20 + 0*t + i + 4 wrt t?
-1
Suppose 31 = 5*u - 129. Suppose 0 = -5*j + 2*h + 46, -3*j + 3*h - 4*h + u = 0. Differentiate -j*f**4 + 12 - 2*f**4 + 1 with respect to f.
-48*f**3
Let v(z) = -6*z - 27. Let n be v(-5). Suppose 5*d = 12 + n. What is the third derivative of -25*k**6 + 326*k**3 - 4*k**2 - 326*k**d + 0*k**2 wrt k?
-3000*k**3
Let c(o) be the second derivative of -8*o - 12*o**5 + 0*o**3 + 0 - 7/12*o**4 + 0*o**2. What is the third derivative of c(j) wrt j?
-1440
Let b(n) be the third derivative of -1/21*n**7 - 106*n**2 + 61/3*n**3 + 0 + 0*n**4 + 0*n - 1/120*n**6 + 0*n**5. Differentiate b(s) with respect to s.
-40*s**3 - 3*s**2
Let p(q) be the third derivative of 65*q**9/72 + q**6/120 + q**5/60 + 37*q**4/8 + 1738*q**2. Find the third derivative of p(b) wrt b.
54600*b**3 + 6
What is the third derivative of -13036*i**4 + 425*i**3 + 61*i**3 + 13035*i**4 + 0*i + 0*i + 810*i**2 wrt i?
-24*i + 2916
Differentiate 545 + 226*n**3 - 287 + 467*n**3 - 281 - 184 wrt n.
2079*n**2
Let p(m) be the second derivative of -19*m**6/30 + 13*m**4/12 - 14*m**2 + 15*m + 6. What is the derivative of p(b) wrt b?
-76*b**3 + 26*b
Let r(s) = 51*s - 11. Let y(i) = 51*i - 9. Suppose -o = 1, -9 + 2 = -j + 3*o. Let g(b) = j*y(b) - 3*r(b). What is the first derivative of g(t) wrt t?
51
Let q(r) = 17*r. Let y(f) = f. Let i(j) = 5*j + 1. Let h(n) = -i(n) + 6*y(n). Let c(l) = -3*h(l) - q(l). Find the first derivative of c(x) wrt x.
-20
Let z(n) be the first derivative of 0*n**5 + 0*n**4 + 0*n**6 - 45 - 14/3*n**3 + 0*n**2 - 2/7*n**7 + 0*n. What is the third derivative of z(c) wrt c?
-240*c**3
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
= -0.2 - -0.1. Let g = 14 + -71/5. What is the second biggest value in z, n, g?
z
Let r be (-8)/16 - (-6)/(-8). What is the third biggest value in r, 0.5, -2/3?
r
Let p = 1 + 1. Let d = 8.3 - 7.9. What is the third smallest value in d, p, -1?
p
Let y(z) = 30*z**2 + z + 1. Let r be y(-1). Let x be 30/36*(-8)/r. Let j be (-45)/12 + (-1)/4. Which is the third smallest value? (a) 2/9 (b) j (c) x
a
Let q be 12/3 + (-2)/1. Let k = 16 - 16.4. What is the smallest value in k, q, 0?
k
Let k be -1*(-2)/35*-10. What is the fourth smallest value in 0, -2, 5, k?
5
Let w = 105.6 - 106. Which is the fourth smallest value? (a) -2 (b) -3/4 (c) 1 (d) w
c
Let l = 85 + -85.06. What is the smallest value in l, -2/3, 2/7?
-2/3
Let p = 1/151 - 458/755. Let x = -27.6 + 24.6. Which is the second biggest value? (a) 0.5 (b) x (c) p
c
Let r = 0.8 + -1. Let c = 0.3 + r. Let g be (2/((-20)/9))/(48/(-20)). What is the second biggest value in g, -2, c?
c
Let t = 12 - 9. Let o = 371/6 + -62. Which is the smallest value? (a) o (b) t (c) 4
a
Let m(k) = -k + 7. Let p be m(3). Let z = -1 + 1. Let t = z - -0.2. Which is the biggest value? (a) 0 (b) p (c) t
b
Let c = 21 - 20. Let b = 0 - 1. What is the third smallest value in 3, c, b?
3
Let f = -21 + 19. Which is the third smallest value? (a) -3/4 (b) -1/4 (c) f
b
Let p = -0.1 - 0.9. Let g = 9.5 - 10. Let t be (-4)/7 + (-6)/(-21). Which is the biggest value? (a) p (b) t (c) g
b
Let j be 3 - (-2)/((-6)/11). Let k(z) = z**2 - 5*z + 2. Let l be k(2). What is the second smallest value in j, 1, l?
j
Let l = -5.6 - -5.1. Let r = 3 - 2. What is the third smallest value in 5, l, r?
5
Suppose 2*s + 2 + 0 = 0. Let c = s + -4. What is the biggest value in 0.2, c, -4?
0.2
Let n = -26 + 77/3. Which is the second biggest value? (a) -2 (b) n (c) 2
b
Let j = 11 + -7. Suppose -2*l + j = -0*l. Which is the smallest value? (a) 5 (b) 3 (c) l
c
Suppose 5*p = 2*g - g + 9, -g - 2 = 2*p. Let i be p - (53/(-54))/(-1). Let j = -11/54 - i. Which is the biggest value? (a) -3 (b) j (c) -5
b
Let r = 4 + -5. Let o = 1.6 + r. Let i = -0.3 + o. Which is the second biggest value? (a) 3 (b) 1 (c) i
b
Let a = -73.2 + 73. What is the smallest value in a, 0, 1, -5?
-5
Let z(j) = j**2 + 4*j + 1. Let r be z(-6). Suppose r = -3*y + y - o, 2 = -2*o. Let i = y - -11. Which is the biggest value? (a) 1/2 (b) i (c) -3
b
Suppose i = -2*i - 12. Let u be (-65)/170 - 2/i. What is the smallest value in u, 4, 3/2?
u
Let r = -0.3 + -1.7. What is the smallest value in 0, r, -1/5?
r
Let q = -26 + 21. Let w = 4.16 - 0.06. Let y = 0.1 - w. What is the second smallest value in q, -3, y?
y
Let z = -5.9 - -0.9. Let b = 13/186 + 3/31. What is the third smallest value in z, 3, b?
3
Let g = 0.04 + 0.36. Which is the third biggest value? (a) -0.2 (b) g (c) 5
a
Let k = -3.8 - 0. Let j = 0.8 + k. Which is the biggest value? (a) -0.5 (b) j (c) 5
c
Let v = -29/6 - -5. Let j(m) = -m**2 + m + 4. Let h be j(0). What is the second biggest value in -3/5, v, h?
v
Let h = -25 - -101/4. Which is the third biggest value? (a) h (b) 4 (c) 0.5 (d) 2
c
Let m = -127.9 + 128. Which is the biggest value? (a) 3 (b) m (c) -3 (d) -0.3
a
Let t = -0.171 - 1.829. Which is the third biggest value? (a) t (b) 2 (c) -1/2 (d) 0.09
c
Let t = 1.4 + -0.4. Suppose -508 = 3*u + u. Let k = 887/7 + u. Which is the third smallest value? (a) 0 (b) k (c) t
c
Let i = 21/4 - 5. Let n = -2 - -2.4. What is the smallest value in n, 2/11, i?
2/11
Let d = 8 + -6. Let x be 1*-4*(-1 + d). Let j = -7.7 - -8. Which is the smallest value? (a) j (b) x (c) -0.3
b
Suppose -7*p + 3*p - 16 = 0. What is the smallest value in -2/7, p, 0.8?
p
Let z = 114 - 114.1. Let u = 475/7 + -68. What is the third biggest value in u, z, -1/2?
-1/2
Let n = -0.049 + -0.051. What is the second biggest value in -2/7, 2/3, n, 11?
2/3
Let s be -1*3/(12/(-29)). Let v be (-2)/1 - (-478)/(-88). Let w = v + s. Which is the third biggest value? (a) w (b) -0.5 (c) -6/11
c
Let g be 0/(-3*4/6). Which is the third smallest value? (a) 1 (b) -1/2 (c) g (d) 3/7
d
Let k = -24 - -27. Which is the biggest value? (a) -1/8 (b) -0.4 (c) k
c
Let n = 3 - -6. Suppose 2*k + n - 1 = 0. Suppose 2*f = 7*f - 2*h - 13, -3*h - 17 = -5*f. Which is the second biggest value? (a) k (b) f (c) 5
b
Let t = 10 + -32/3. Let j = -12.6 - -8.6. Which is the second biggest value? (a) -4/5 (b) t (c) j
a
Let t = 0.2 + -1.2. Let n = 1.5 - 1.2. Which is the second biggest value? (a) n (b) t (c) 5
a
Let k be 2/(-5) + 33/(-30). Let g = 76 - 75. What is the third biggest value in k, g, -2/3?
k
Let p be (-2)/(2/(-3)) - -1. What is the biggest value in -0.4, 0.2, -2/19, p?
p
Let h = 6 - 5. Which is the third biggest value? (a) -5 (b) -1/4 (c) h
a
Let j = -143.6 + 144. What is the second biggest value in j, 5/4, -4/5, 1?
1
Let n = -1.4 - -1.3. What is the biggest value in 0.1, 0.2, n?
0.2
Let u be (2304/195)/4 + -3. Let k = u - -219/520. What is the smallest value in 0.5, k, -2?
-2
Let x be ((-2)/5)/(7/5). Let o = 2.05 - 0.05. Which is the second biggest value? (a) 2/19 (b) o (c) x
a
Let j(h) = -h**2 - 2*h + 4. Let o be j(-4). Let k be o/(-35)*30/(-4). What is the second smallest value in -1/4, k, -0.5?
-0.5
Let p = 38780 - 387471/10. Let s = p + -133/4. Let r = s + 1/10. Which is the biggest value? (a) 0.5 (b) r (c) -4
a
Suppose -2*d - 27 = -5*a, -5*a - 4*d - 4 = -25. Suppose -j - 6 = -a. What is the second biggest value in j, 0, -2?
j
Let z = -4 + 1. Let r = 2.3 - 5. Let d = z - r. Which is the second smallest value? (a) -2/5 (b) 2/5 (c) d
c
Suppose -2*r + 2 = -8. Suppose -r = 4*v - 3*v. Which is the second smallest value? (a) v (b) 2 (c) 0.2
c
Let x = -0.08 - -1.08. Let q = -21 - -30. Let s = 14 - q. What is the smallest value in x, s, 2?
x
Let u be (27/84*6 - 2)*-12. Which is the biggest value? (a) -4 (b) -1 (c) u
c
Let g = 6 + -6. Let w(l) = 6*l - 3*l - 2*l. Let z be w(-4). Which is the second smallest value? (a) z (b) 1/7 (c) g
c
Let f = 200/9 - 1373/63. Let d = 0.19 + 1.31. Let j = -1 + d. Which is the second biggest value? (a) f (b) -3/8 (c) j
a
Let q = 1/19 + 14/95. Which is the second smallest value? (a) q (b) 0.1 (c) -1
b
Let k = 0.04 - 0.54. Let c = k + 0.1. Let q = 0.3 + -0.2. What is the second smallest value in q, 0.2, c?
q
Suppose -4*h - 12 = -2*g, -h + 2*g - 3 = -3*g. Let d = 4 + -3.7. Which is the smallest value? (a) d (b) h (c) -0.4
b
Let k = 0.5 + -9.5. Let q = -4 - k. Which is the third biggest value? (a) 0.3 (b) -1/2 (c) q
b
Let v = -136 + 137.4. Let j = 1428/23 + -62. What is the smallest value in v, -1/2, j?
-1/2
Let u = -5 - -4. Which is the second biggest value? (a) 5 (b) u (c) -1/4
c
Let k = 126.6 + -128. Which is the third biggest value? (a) -0.2 (b) -1/6 (c) -4/5 (d) k
c
Let m = -5 - -13. Let l = -8.1 + m. Let u = l - 0.4. Which is the second biggest value? (a) 3 (b) -2/3 (c) u
c
Let h = 0.37 - 0.07. Let p(s) = s + 1. Let c be p(-3). Let m be 2/(-6) + c/3. What is the third biggest value in m, 0, h?
m
Let d = -11/51 - 2/17. Let o = -14.2 + 13. Let u = o - -0.2. What is the second biggest value in -0.5, d, u?
-0.5
Let f = 54.94 - 54. Let d = 1 - f. Let u = d + -0.46. Which is the second biggest value? (a) 3 (b) -2 (c) u
c
Let k = 3.5 + -3. Suppose -4*o + m + 26 = o, 2*o - 32 = -5*m. Let n = 9 - o. Which is the second smallest value? (a) k (b) -0.1 (c) n
a
Let d = -0.2 - -0.1. Let g be (28/147)/((-4)/(-6)). What is the biggest value in d, 0.2, g?
g
Let v = 53 + -55. What is the third biggest value in 0, 1/5, v?
v
Let i = 2 - -2. Let j = -3.6 + i. Which is the smallest value? (a) 4 (b) j (c) 0.2
c
Let r = 1.9 + -2.3. What is the third smallest value in -4, r, 1/4?
1/4
Let r = -16.6 - -50.6. Which is the second smallest value? (a) 0.3 (b) r (c) -0.3
a
Let i be (4/8)/(120/(-327)). Let k = i - -9/16. What is the biggest value in -3, -0.1, k?
-0.1
Let p = 37 + -24. Let w = 12.6 - p. Which is the second smallest value? (a) 1 (b) w (c) 0.4
c
Let h = -10.7 - -11. Let y be -1*(-1 + 2)*-2. Let r be (-5)/y + -2 + 4. Which is the smallest value? (a) h (b) r (c) 4
b
Let c = 60 - 58. Let b be -3*(-2)/(-12)*4. Let x be b/(-2) + 10/(-7). What is the third smallest val
|
{
"pile_set_name": "DM Mathematics"
}
|
s + s - 2*s)*(18*s**2 - 9*s**2 + 0*s**2) in the form n*s**2 + l + c*s**3 + g*s and give g.
0
Express f**2 - 75*f**3 + 39*f**3 - 2*f**4 + 41*f**3 + 2 as u*f + d*f**2 + y + w*f**4 + p*f**3 and give w.
-2
Rearrange -o**2 + 1 - o**2 + 2*o**3 - 1 to l*o + z*o**2 + i*o**3 + p and give i.
2
Rearrange -3*o**2 - 19*o - 2*o**3 + 4*o**2 + 21*o to the form a*o**2 + g*o**3 + q + i*o and give a.
1
Rearrange -2*f**4 - 4*f**3 - 6*f - f**3 + 6*f**3 to j*f + g*f**2 + s*f**3 + o*f**4 + k and give o.
-2
Rearrange (2 + 3 - 3)*(11 + 7*n - 11) - 11 - n + 10 + 2*n to l*n + h and give h.
-1
Rearrange -2*w**3 + 21 - w - 2*w + w**2 + 3*w to o*w**2 + v*w + p + r*w**3 and give r.
-2
Express -6*g - 1 - 4*g - 5*g + 3*g as i*g + d and give d.
-1
Rearrange 6*l**2 - 5*l + 5*l + (-3*l + 0*l + l)*(-5*l + l + 2*l) + 4*l**2 + 1 - 1 to m + j*l + v*l**2 and give v.
14
Express -3*c - 4*c - 7*c + 10*c as g + x*c and give x.
-4
Express u**3 - u + u + (u**2 - u**2 + 2*u**2)*(-4*u + 0*u - 3*u) + (6 - 6 + 5*u)*(-u**2 - 3*u**2 + 5*u**2) as k*u + b*u**3 + y*u**2 + z and give b.
-8
Express 55 + k + k - 25 - k in the form u + s*k and give s.
1
Rearrange 0*o**2 - 1 + o**2 - 2*o**2 - o + 6*o to the form y*o**2 + n*o + t and give y.
-1
Express 2*s**2 + 2*s - 14*s**4 + 33*s**4 - 18*s**4 + 1 as l + i*s**4 + a*s**2 + f*s**3 + h*s and give h.
2
Express 14 - 4*b**2 + 4*b**4 + 6*b**2 - 11 in the form a*b**2 + w + n*b**3 + l*b**4 + i*b and give w.
3
Express (4*d**2 - 3*d**2 + 0*d**2)*(56*d + 41*d - 244*d) in the form p + z*d**2 + j*d**3 + h*d and give z.
0
Express -4*l + 2*l + 12*l + 9*l in the form a + k*l and give a.
0
Rearrange 7*w**3 + 2 + w - 21*w**3 - 12*w**3 to j*w**2 + t*w + k + z*w**3 and give k.
2
Rearrange -4*o**3 - o**2 + 24*o**3 + 707*o - 707*o to n + u*o**2 + a*o + k*o**3 and give u.
-1
Express -6*c**3 + 17*c**3 + 1 - 10*c**3 - 6*c as o + a*c**2 + d*c + m*c**3 and give o.
1
Rearrange (0 - 6 + 4 + (4 - 9 + 2)*(-1 + 5 - 2))*(-2 + 2 - k**2) to h*k + a*k**2 + z and give a.
8
Express 33*p + 7*p + 18*p in the form g + w*p and give w.
58
Rearrange (-6 + 4 - 2)*(-2*x**3 - 2*x**3 + 3*x**3)*(6*x - 2*x + 0*x) to a*x**4 + p*x**2 + g + s*x**3 + o*x and give o.
0
Express (-p**3 - 5*p**3 + 5*p**3)*(-3*p + p + p) + 0*p**3 + 0*p - p + 2*p**4 + 2*p**3 in the form a + o*p + i*p**3 + y*p**2 + z*p**4 and give i.
2
Rearrange 30 + 2*l + 7*l**3 - 30 to j + z*l**2 + p*l**3 + x*l and give x.
2
Rearrange -103*l + 73 - 73 to the form g + a*l and give a.
-103
Express (w**2 + 0*w**2 - 3*w**2)*((6 + 1 + 7)*(1 - 1 - 2*w) - 2*w + 3*w + w) in the form v*w + a + t*w**2 + i*w**3 and give i.
52
Express -2*i**2 + 6*i**2 - 2 + 2*i - 16*i**2 in the form b*i + m + h*i**2 and give m.
-2
Express (0*g**3 - g**3 - g**3)*(3*g - 2*g - 2*g) + (-g**3 + 2*g**3 + 0*g**3)*(9*g + 11*g - 33*g) in the form w*g**3 + b + d*g + i*g**4 + f*g**2 and give i.
-11
Express 10*l**3 + 18*l + 6*l**3 - 16*l as o*l**3 + u*l**2 + r*l + q and give u.
0
Rearrange (o - 4*o + 7*o)*(3*o - o - o) + 3*o - 389*o**2 + 398*o**2 - 4*o to x + v*o**2 + k*o and give k.
-1
Express (-m + m - m)*(1 + 0 + 2) + 2*m + 1 - 1 + (-1 + 0 + 7)*(3*m - 3*m - 2*m) as y*m + u and give y.
-13
Rearrange (3*m**2 - 3*m**2 - 2*m**3 + (2*m + 2 - 2)*(5*m**2 + m**2 - 3*m**2))*(-3 - 5 + 4) to the form n + p*m**2 + y*m**3 + t*m and give y.
-16
Express -1 + 4 - 1 + f**2 - 2*f**2 + f**3 + 3*f**4 as c + d*f**3 + l*f + h*f**2 + t*f**4 and give d.
1
Express (-2*n + 3*n - 3*n - 3)*(-1 - 10 + 2) in the form q*n + g and give q.
18
Express -26*q - 7*q + q in the form m*q + i and give m.
-32
Express 5*i + 13*i + 34*i as w*i + p and give w.
52
Rearrange (84 + 170 + 64 - 454)*(-2*h**4 - 2*h**4 + 6*h**4) to m*h**4 + p*h**2 + x*h**3 + q*h + z and give m.
-272
Express 95*i**2 - 91*i**2 + 3 - 13*i - 1 as m*i + c + a*i**2 and give a.
4
Rearrange (-1 - 4 + 6)*(-m - 2*m + 0*m + (-m - 2 + 2)*(-5 + 3 + 0)) to n*m + f and give n.
-1
Express (-5 + 12*r - 5*r + 2*r)*(-1 - 2 + 0) in the form k + z*r and give z.
-27
Express 26*g - g + 9*g as d*g + z and give d.
34
Express (-6*i + 2*i + i)*(1 - 5 - 4) as t + u*i and give u.
24
Express 2*b**2 + 3*b - 3 + 1 + 3 + (5 - 2 - 1)*(-4*b**2 - b**2 - 11*b**2) as m*b**2 + c + r*b and give m.
-30
Rearrange (-31*r**2 + 53*r**2 + 19*r**2)*(5*r - 4*r + 0*r) to h + w*r**2 + b*r**3 + a*r and give b.
41
Express (-2*a**2 + 4*a**2 - 3*a**2)*(3 + 0 + 2) + 2*a**2 - 2 - 7*a**2 + 0 + (4 - 4 - 2)*(0 + 0 - 2*a**2) in the form i*a + n*a**2 + w and give w.
-2
Rearrange (l**3 + 12*l**3 + 5*l**3)*(-5*l + 5*l - l + 1)*(5 - 3 - 3) to m*l**3 + z*l + o*l**4 + k + n*l**2 and give m.
-18
Rearrange -8*s**3 - 6 - 3*s + 2*s + 6*s**3 + 0*s**3 to z*s**3 + p*s + x + q*s**2 and give p.
-1
Express -1 + 0*u**2 + u**4 + 295*u - u**2 - 295*u as z*u**2 + y + o*u**4 + s*u**3 + d*u and give z.
-1
Express 7 - a**4 - 8*a**3 - 5*a**2 + a - 2 - 3 + 11*a**3 in the form o + t*a**3 + h*a**4 + m*a + l*a**2 and give h.
-1
Rearrange -20*a + 1 - 1 + 154*a to t + j*a and give j.
134
Rearrange (-2*z + 3*z - 2*z)*(31*z + z + 4*z)*(-2 + 2 - 1) to r*z + w + o*z**2 and give o.
36
Express 4*k**3 + 2 - 4 + 5 as a*k**2 + g + f*k + h*k**3 and give h.
4
Express -57*h - 20*h**2 - 2*h**3 + 14*h + 20*h**2 in the form v*h + b*h**3 + r*h**2 + k and give v.
-43
Rearrange (5 - 23 - 2)*(n - n**3 + n + 0*n) to the form i + r*n**3 + j*n**2 + d*n and give d.
-40
Express (-h**2 + 3*h**2 - 4*h**2)*(-6 + 3 + 1) - 39*h**2 + 17*h**2 + 40*h**2 in the form s*h + j + l*h**2 and give l.
22
Rearrange -6*c + c + 2*c + 2*c - 5*c + 5*c + (-3 + 2 + 2)*(c - 4*c + 4*c) - 4*c + 3*c + 2*c - 4*c + 2*c - c to the form y + m*c and give y.
0
Express (3 - 3 - 5*y)*(-1 + 5 - 3) - 1 + 1 + 2*y + 0*y - 2*y + 0*y + (-6 + 2 + 3)*(0 + 2*y + 0) - 4 - 2*y + 4 in the form g*y + h and give g.
-9
Express (3 - 3 - 4 + (-3 + 8 - 3)*(1 - 3 + 0))*(-5*j + 4*j + 4*j) in the form q + h*j and give h.
-24
Rearrange (-4 + 3 + 2)*(-6*a + 34*a + 15*a + (-2 + 2*a + 2)*(5 - 3 - 3)) to the form i + g*a and give g.
41
Rearrange -19*z + 41*z + 21*z to the form d + f*z and give f.
43
Express -7*l + 68*l + 14*l as w*l + k and give w.
75
Express 6*z**2 + 2*z - 2*z**4 + 3*z**4 + z**4 - 3*z in the form q + w*z**4 + n*z**3 + m*z**2 + i*z and give i.
-1
Express -5*m**3 + 14*m - m**4 - 9*m**3 - 2*m**3 + 13*m**3 + 2*m**2 as j*m**2 + r*m**4 + p + h*m + o*m**3 and give j.
2
Rearrange 0*o**2 + o + 3*o**2 - 2*o + 2*o**2 - o**2 + 0*o**2 + (-2*o - 2*o + o)*(3*o - o - o) to the form x*o + g*o**2 + i and give x.
-1
Express 5 - 5 - 5*c**2 as h + r*c**2 + i*c and give r.
-5
Express (2 + 5*q - 1 - 2*q)*(-2 + 5 - 4)*(2*q**2 - 2*q**2 + 2*q**3) as m*q**2 + n*q + l*q**4 + v*q**3 + r and give l.
-6
Rearrange 2*c**2 + 0*c**3 + 5*c**3 - 3*c**3 - 2*c - 4*c**3 - 1 to the form h*c**3 + j*c + g + r*c**2 and give j.
-2
Rearrange n**3 - 6*n + 7*n + n + 2 to i*n**2 + v*n + o*n**3 + f and give f.
2
Express -2 - 3*y**2 + 4*y**2 - 2 - y**4 + 8*y + 5 in the form x*y**4 + u*y**2 + r + l*y + a*y**3 and give a.
0
Rearrange (133 + 17 - 6)*(-4*z - z + 6*z)*(-z**2 + 4*z**2 - 2*z**2) to the form p*z**3 + h*z**2 + y*z + d and give p.
144
Express (-1 + k + 1)*(k - 2*k + 0*k) + 2*k**2 + k**2 + 0*k**2 + (0 - 6 - 1)*(0*k**2 - k**2 + 2*k**2) in the form f + y*k**2 + j*k and give y.
-5
Rearrange -2*u**2 + 3*u**2 + 5*u + 1 - 1 - 2*u**3 to f*u + w*u**3 + m*u**2 + j and give f.
5
Rearrange -3*x**3 + 3 - x**2 + x**4 + 0*x**2 + 0*x**4 + x**3 to the form a*x**4 + h*x**3 + o + s*x**2 + g*x and give s.
-1
Express (-s + 1 - 1)*(-2 + 1 + 2)*(-2*s - 2*s**2 - 38 + 38) as h + l*s**3 + n*s + q*s**2 and give q.
2
Express (-17*b + 9 - 21*b + 32*b)*(-2*b**3 + b**3 + 3*b**3) as v*b**2 + y*b**3 + h + c*b**4 + t*b and give c.
-12
Rearrange 2 + 3*x - 1 - 5 to the form h + p*x and give h.
-4
Rearrange (-2*z**2 + 2*z - 2*z)*(-254 + 100 + 78)*(2 - z - 2) to the form k*z + v + w*z**2 + x*z**3 and give x.
-152
Express (-7*r + 27*r - 9*r)*(3*r**2 + r**2 - 2*r**2) in the form s + t*r**3 + f*r**2 + p*r and give t.
22
Rearrange (-13*f**2 + 2*f**2 + 6*f**2)*(3*f + 2*f - 3*f)*(-4 + 1 + 2)*(3 - f - 3) to m + d*f**3 + x*f**2 + l*f + o*f**4 and give o.
-10
Rearrange -2*u**3 - 4*u - 3*u - 5*u**4 + 2*u + 3*u to the form p*u**4 + q*u**2 + i + m*u**3 + r*u and give m.
-2
Rearrange (2 - 2*w - 2)*(-8*w**3 + 7*w**3 + 62*w**3) to the form a*w + d*w**2 + k + n*w**3 + u*w**4 and give u.
-122
Re
|
{
"pile_set_name": "DM Mathematics"
}
|
any millilitres are there in 7.888299l?
7888.299
How many litres are there in 91742.93ml?
91.74293
How many tonnes are there in 9.061159 nanograms?
0.000000000000009061159
What is seven quarters of a microsecond in nanoseconds?
1750
Convert 0.8754311mm to centimeters.
0.08754311
How many meters are there in 70.14264mm?
0.07014264
What is 528.437 nanograms in tonnes?
0.000000000000528437
How many milliseconds are there in 751.625 seconds?
751625
What is one twentieth of a micrometer in nanometers?
50
Convert 9.737335l to millilitres.
9737.335
Convert 43.00809cm to meters.
0.4300809
Convert 48.08837l to millilitres.
48088.37
What is 24095901.6us in days?
0.00027888775
What is 76.007 milliseconds in seconds?
0.076007
What is two fifteenths of a minute in seconds?
8
What is twenty-one quarters of a millennium in years?
5250
How many micrometers are there in 3.537749km?
3537749000
How many centuries are there in 0.5681922 months?
0.0004734935
Convert 82414.5m to micrometers.
82414500000
What is 3/5 of a litre in millilitres?
600
How many milligrams are there in twenty-one fifths of a gram?
4200
What is 430.0729 millimeters in centimeters?
43.00729
Convert 8.193447 weeks to minutes.
82589.94576
What is 0.4239348 micrograms in tonnes?
0.0000000000004239348
What is 3/25 of a gram in milligrams?
120
How many decades are there in 5.88322 millennia?
588.322
What is 9.171321l in millilitres?
9171.321
What is 0.0279517 weeks in nanoseconds?
16905188160000
How many micrometers are there in 5/4 of a centimeter?
12500
What is 20.871789 months in years?
1.73931575
How many tonnes are there in 0.575255 nanograms?
0.000000000000000575255
Convert 70967.98 millennia to centuries.
709679.8
How many months are there in 6/5 of a century?
1440
Convert 15.04333nm to kilometers.
0.00000000001504333
What is 238.6563m in millimeters?
238656.3
How many micrometers are there in 42/5 of a millimeter?
8400
What is 71/5 of a kilogram in grams?
14200
How many millilitres are there in 835560.8 litres?
835560800
How many centimeters are there in seven halves of a meter?
350
What is 9934.112 years in months?
119209.344
What is 5/8 of a milligram in micrograms?
625
What is 529.298ml in litres?
0.529298
How many months are there in 6/25 of a millennium?
2880
How many milligrams are there in 3.506204g?
3506.204
How many kilograms are there in 1/10 of a tonne?
100
What is 3/25 of a meter in millimeters?
120
What is 1/5 of a second in milliseconds?
200
Convert 998970.6 millilitres to litres.
998.9706
How many millimeters are there in twenty-six fifths of a centimeter?
52
What is 15/4 of a century in months?
4500
How many litres are there in 53832.78 millilitres?
53.83278
How many centimeters are there in one tenth of a kilometer?
10000
What is 5406.018ng in milligrams?
0.005406018
How many days are there in eight sevenths of a week?
8
How many millimeters are there in 3/5 of a meter?
600
Convert 73.5361389 microseconds to weeks.
0.00000000012158753125
How many nanometers are there in 3/40 of a millimeter?
75000
How many grams are there in 161.4728 nanograms?
0.0000001614728
How many nanograms are there in 23942.72g?
23942720000000
What is 0.5457255 months in decades?
0.0045477125
What is three eighths of a litre in millilitres?
375
How many months are there in 798.0512 centuries?
957661.44
What is three eighths of a week in minutes?
3780
What is 83.99823 millilitres in litres?
0.08399823
Convert 37.96375 litres to millilitres.
37963.75
How many meters are there in 972.4264 millimeters?
0.9724264
Convert 5.255835 years to decades.
0.5255835
How many centimeters are there in 32.01783 millimeters?
3.201783
How many millilitres are there in 3/5 of a litre?
600
Convert 72797.62km to meters.
72797620
How many years are there in 3/10 of a millennium?
300
How many minutes are there in 23/6 of a day?
5520
How many years are there in 3/5 of a century?
60
How many days are there in 3458.496 weeks?
24209.472
Convert 2363.834 millilitres to litres.
2.363834
Convert 786953.6 decades to months.
94434432
What is 32.0125l in millilitres?
32012.5
How many decades are there in 17563.062 months?
146.35885
What is 10658.62 litres in millilitres?
10658620
What is 2/45 of a day in seconds?
3840
Convert 75.38318 centuries to decades.
753.8318
Convert 2.846171kg to grams.
2846.171
How many millimeters are there in eleven halves of a centimeter?
55
How many nanometers are there in 0.212788m?
212788000
What is 8735.302 millilitres in litres?
8.735302
How many grams are there in six fifths of a kilogram?
1200
Convert 5498.104l to millilitres.
5498104
How many meters are there in 1/4 of a kilometer?
250
What is 3/5 of a minute in milliseconds?
36000
What is twenty-three thirds of a decade in months?
920
What is 1/4 of a decade in months?
30
How many kilometers are there in 3.614865um?
0.000000003614865
Convert 340890.3 litres to millilitres.
340890300
How many centimeters are there in nineteen quarters of a meter?
475
How many micrometers are there in 0.3685119 millimeters?
368.5119
How many litres are there in 6458.193 millilitres?
6.458193
How many litres are there in 2.892462ml?
0.002892462
What is six fifths of a litre in millilitres?
1200
What is 1/64 of a kilogram in milligrams?
15625
What is 74.01879m in centimeters?
7401.879
What is 6/5 of a milligram in micrograms?
1200
Convert 205.3758 decades to months.
24645.096
How many kilometers are there in 46274.49m?
46.27449
Convert 29.66316 centuries to months.
35595.792
Convert 51196.392 nanoseconds to hours.
0.00000001422122
How many millimeters are there in 827529.9cm?
8275299
Convert 15200.29 nanoseconds to seconds.
0.00001520029
How many nanograms are there in 43/4 of a microgram?
10750
What is 1/16 of a tonne in grams?
62500
Convert 79405.67 meters to nanometers.
79405670000000
Convert 3919.168mg to micrograms.
3919168
How many tonnes are there in 3973.25 grams?
0.00397325
How many millilitres are there in 42/5 of a litre?
8400
What is three eighths of a centimeter in micrometers?
3750
How many meters are there in 55720.22um?
0.05572022
What is 26026.72l in millilitres?
26026720
How many centimeters are there in 38.81095 millimeters?
3.881095
How many litres are there in 77205.71 millilitres?
77.20571
Convert 42.8005ml to litres.
0.0428005
How many months are there in 385066.3 decades?
46207956
How many decades are there in 3/5 of a century?
6
What is 28.53881mg in grams?
0.02853881
Convert 624.796l to millilitres.
624796
How many millilitres are there in 5/4 of a litre?
1250
What is 0.5819167 litres in millilitres?
581.9167
Convert 447.721 millilitres to litres.
0.447721
How many meters are there in 760378.2mm?
760.3782
Convert 65.74435 grams to micrograms.
65744350
What is sixty-nine halves of a litre in millilitres?
34500
How many hours are there in five quarters of a day?
30
What is ten ninths of a day in minutes?
1600
How many months are there in six fifths of a millennium?
14400
How many months are there in 5/4 of a decade?
150
Convert 28902.52g to micrograms.
28902520000
How many micrograms are there in 2535.051 tonnes?
2535051000000000
How many millimeters are there in 18/5 of a centimeter?
36
How many hours are there in seven sixths of a day?
28
What is fourty-seven quarters of a day in minutes?
16920
Convert 4.398071ns to seconds.
0.000000004398071
What is 327.6054 months in years?
27.30045
Convert 6103.334 hours to seconds.
21972002.4
How many micrograms are there in 194.4901 tonnes?
194490100000000
How many seconds are there in one ninth of a week?
67200
How many minutes are there in seven halves of a day?
5040
Convert 455.0927m to kilometers.
0.4550927
What is 3.344647 millilitres in litres?
0.003344647
How many years are there in 13/4 of a millennium?
3250
Convert 1747.059 centuries to years.
174705.9
Convert 81726.25m to micrometers.
81726250000
How many nanograms are there in 50.64925 kilograms?
50649250000000
How many litres are there in 21067.93 millilitres?
21.06793
What is 4/15 of a decade in months?
32
What is 6.217222 litres in millilitres?
6217.222
Convert 45.14218 millennia to months.
541706.16
What is thirteen fifths of a litre in millilitres?
2600
How many nanograms are there in 0.0231663 grams?
23166300
How many kilograms ar
|
{
"pile_set_name": "DM Mathematics"
}
|
ng order.
-2/99, -1, -18
Sort -6606, 138, -4 in ascending order.
-6606, -4, 138
Put 0, -3, 1864, 2, -6, 4 in decreasing order.
1864, 4, 2, 0, -3, -6
Sort 113, 2142, 4 in decreasing order.
2142, 113, 4
Sort 1, -3, -4, -2, 78.
-4, -3, -2, 1, 78
Sort 4, 1139, 2/21, 13.
2/21, 4, 13, 1139
Sort -1.1, -1, 220, 2/5 in decreasing order.
220, 2/5, -1, -1.1
Put -3, 66, 5186 in descending order.
5186, 66, -3
Sort 1, -16, 0, -2, -909 in descending order.
1, 0, -2, -16, -909
Sort -177, 205, -30 in decreasing order.
205, -30, -177
Sort 0.5, 14.8, 648, -3/7 in descending order.
648, 14.8, 0.5, -3/7
Put 3, 4, 1/5, -15, -47, 2/15 in descending order.
4, 3, 1/5, 2/15, -15, -47
Sort -3, -749, 2, 37 in decreasing order.
37, 2, -3, -749
Sort -1/2, 1.6, 1, -7, 5/6, 0.069 in ascending order.
-7, -1/2, 0.069, 5/6, 1, 1.6
Sort 88, 4, -1, 2.
-1, 2, 4, 88
Sort -2, 5, 125 in ascending order.
-2, 5, 125
Sort 0.7, 21, -30, 2/7 in descending order.
21, 0.7, 2/7, -30
Put -5, 168/17, 3/2, 4, 0.4, -0.1 in decreasing order.
168/17, 4, 3/2, 0.4, -0.1, -5
Sort 5, -717, 12 in decreasing order.
12, 5, -717
Put -5, -32, 12, 3, -1, -38 in increasing order.
-38, -32, -5, -1, 3, 12
Sort -38, 0.3, -5, -203, 5.
-203, -38, -5, 0.3, 5
Sort -3, -4, -278, 156 in ascending order.
-278, -4, -3, 156
Sort -120, 11, 3, 2.
-120, 2, 3, 11
Put 21, -19, -4, -1, 3 in descending order.
21, 3, -1, -4, -19
Put 53, 7, 8 in descending order.
53, 8, 7
Sort -84, -5, 5, 4, 1271, 0.
-84, -5, 0, 4, 5, 1271
Sort -4, 1, -30, -5, 2 in ascending order.
-30, -5, -4, 1, 2
Put 4, 3, 10586 in decreasing order.
10586, 4, 3
Sort -16, 2, 15, -3, 1, 0 in ascending order.
-16, -3, 0, 1, 2, 15
Sort -5, 286, 2.6, 0.4, 1 in ascending order.
-5, 0.4, 1, 2.6, 286
Sort -1/2, 24, 0.0427, -1, 0.6, 1/2 in increasing order.
-1, -1/2, 0.0427, 1/2, 0.6, 24
Put -0.01, -3, -8, 4, -6, 0 in ascending order.
-8, -6, -3, -0.01, 0, 4
Sort 4, 1, 2, -1, 12667.
-1, 1, 2, 4, 12667
Sort 1345, -1, -44, 4 in decreasing order.
1345, 4, -1, -44
Put -2, -0.1, 2/3, 1, -5/27, -7 in descending order.
1, 2/3, -0.1, -5/27, -2, -7
Put -0.11, 3/7, 22 in descending order.
22, 3/7, -0.11
Sort 2, 0, -4, -3, -1, 4836 in ascending order.
-4, -3, -1, 0, 2, 4836
Sort -2, 5, -231, 257.
-231, -2, 5, 257
Sort 1, -1, 26, -116, 3, 5 in ascending order.
-116, -1, 1, 3, 5, 26
Sort -2, -3, 323 in ascending order.
-3, -2, 323
Sort -3/2, 4993, 1.
-3/2, 1, 4993
Put 6, 4, -56, -4 in increasing order.
-56, -4, 4, 6
Sort -0.2, -1/685, -1/3, -540, -2 in decreasing order.
-1/685, -0.2, -1/3, -2, -540
Put -10, 0.4, 8, 2/3, -0.03, -2 in ascending order.
-10, -2, -0.03, 0.4, 2/3, 8
Sort 838.9, 2/35, -0.4 in decreasing order.
838.9, 2/35, -0.4
Sort 34, 13, -16, -2 in descending order.
34, 13, -2, -16
Sort -2, -7, 2, 3, -3, -9.
-9, -7, -3, -2, 2, 3
Put -1, -3, -508, -10, -5 in decreasing order.
-1, -3, -5, -10, -508
Sort 3, -2, -18, -4, -1, -87.
-87, -18, -4, -2, -1, 3
Put -2, 23838, -3 in decreasing order.
23838, -2, -3
Sort 2, -11, 22, 784 in descending order.
784, 22, 2, -11
Sort 5, 35, -5, -1182 in ascending order.
-1182, -5, 5, 35
Sort -34, -1, 1/11, -4, -2 in ascending order.
-34, -4, -2, -1, 1/11
Put 5, -28, 1, -2, 2 in descending order.
5, 2, 1, -2, -28
Put -159, 1, -2, 4, -118 in decreasing order.
4, 1, -2, -118, -159
Put -10.6, -6, 4, 1/5, -0.5 in descending order.
4, 1/5, -0.5, -6, -10.6
Sort -3, 2640, 4 in descending order.
2640, 4, -3
Sort 2, 5, 7.7, 30, -6/5 in ascending order.
-6/5, 2, 5, 7.7, 30
Put 3, -55, 8/45, -1, -1/10 in descending order.
3, 8/45, -1/10, -1, -55
Put 444, 0, 1/3, 4, 2 in descending order.
444, 4, 2, 1/3, 0
Sort -4, 5, 11625.
-4, 5, 11625
Sort 39, 1, -910, -3 in increasing order.
-910, -3, 1, 39
Put -1, -3, 0, -32, -459 in increasing order.
-459, -32, -3, -1, 0
Put -2, -8, 1, 132 in increasing order.
-8, -2, 1, 132
Sort 1, 4, -9, 1025 in ascending order.
-9, 1, 4, 1025
Put -0.4, -23, -58 in ascending order.
-58, -23, -0.4
Sort 4, 5597119, 3.
3, 4, 5597119
Sort 3, -290, -3, -4, 5.
-290, -4, -3, 3, 5
Sort -1/6, 2, -2/41, 4075, -4 in descending order.
4075, 2, -2/41, -1/6, -4
Sort -3, -15, 0.43, -0.2 in descending order.
0.43, -0.2, -3, -15
Sort -5, 3, 11, 12, 8.
-5, 3, 8, 11, 12
Sort 2205, -4, -9, -2 in descending order.
2205, -2, -4, -9
Put 0, -7, -4, 144 in ascending order.
-7, -4, 0, 144
Sort 38, -0.3, -2, 1.6 in ascending order.
-2, -0.3, 1.6, 38
Put -9, 0.2, 2/3999 in descending order.
0.2, 2/3999, -9
Sort 469, 0.022, 0.35 in descending order.
469, 0.35, 0.022
Put 3/7, -18, -0.07141, 0.04 in ascending order.
-18, -0.07141, 0.04, 3/7
Sort 217, -4/5, 0, 30.
-4/5, 0, 30, 217
Sort 14/9, 335, -0.2 in decreasing order.
335, 14/9, -0.2
Sort 2.1, -18/5, -151.
-151, -18/5, 2.1
Sort 4, 5, 2, 9, 26 in increasing order.
2, 4, 5, 9, 26
Put 153, 4, 1, 213 in decreasing order.
213, 153, 4, 1
Sort -187, 0, 4 in decreasing order.
4, 0, -187
Put -3, 33417, 8 in increasing order.
-3, 8, 33417
Put 21, 16, 4, -3, -2 in increasing order.
-3, -2, 4, 16, 21
Put -6, -4, 4, 32 in increasing order.
-6, -4, 4, 32
Sort 4, 5004, -1.
-1, 4, 5004
Sort -5, -1/16, 19, -0.3 in decreasing order.
19, -1/16, -0.3, -5
Put 7/4222, -4, 0 in descending order.
7/4222, 0, -4
Put -12231, 1, -3, -2, -1/4 in decreasing order.
1, -1/4, -2, -3, -12231
Sort 11, -3, -5, 0 in descending order.
11, 0, -3, -5
Sort 271/41, -3, -5.
-5, -3, 271/41
Sort 0, 1, -25, 3, -5 in decreasing order.
3, 1, 0, -5, -25
Sort -1041, -20, -2, -12, -4, 0.
-1041, -20, -12, -4, -2, 0
Put 166, 0, 5, -4, 4 in increasing order.
-4, 0, 4, 5, 166
Sort -37, -3, 2973 in decreasing order.
2973, -3, -37
Sort -1, -2, 45154 in ascending order.
-2, -1, 45154
Sort 0.5, -2/13, -1, 4, -1/5 in increasing order.
-1, -1/5, -2/13, 0.5, 4
Put -12, 23093, 0 in ascending order.
-12, 0, 23093
Sort 5, -6019, -3.
-6019, -3, 5
Put 0, 104, -114 in descending order.
104, 0, -114
Sort 1/4, 0.3, 684, -0.13 in descending order.
684, 0.3, 1/4, -0.13
Put -2, -183, 1635 in decreasing order.
1635, -2, -183
Put -1, -2, -2891 in descending order.
-1, -2, -2891
Put -4, -373, -7/6, 1 in decreasing order.
1, -7/6, -4, -373
Sort -15, 4, 1, -7, -1, -5 in ascending order.
-15, -7, -5, -1, 1, 4
Put -3, -5, -0.252383 in descending order.
-0.252383, -3, -5
Sort 30, 5, 1396 in increasing order.
5, 30, 1396
Sort 3, -546, 0, -3/4 in descending order.
3, 0, -3/4, -546
Put 1, -4, -63, 0, 44 in descending order.
44, 1, 0, -4, -63
Put -1, 4, 2, -16 in descending order.
4, 2, -1, -16
Put -5, 7, 2, -4 in descending order.
7, 2, -4, -5
Put 2, -237, -32, 4 in ascending order.
-237, -32, 2, 4
Sort -277, -469, -2, -4 in descending order.
-2, -4, -277, -469
Sort -7633, -3, -1, 9 in ascending order.
-7633, -3, -1, 9
Sort 1, 6/13, 154, -0.4, 0.01, 0.4 in decreasing order.
154, 1, 6/13, 0.4, 0.01, -0.4
Sort -5/7, -22, 5, -2, 0, -8/45 in decreasing order.
5, 0, -8/45, -5/7, -2, -22
Sort 3, 78, -1, 2, 32, 0.
-1, 0, 2, 3, 32, 78
Sort 1/4, -1152, -0.21.
-1152, -0.21, 1/4
Sort -12, 2/5, -11, -2/231, 1 in decreasing order.
1, 2/5, -2/231, -11, -12
Sort 920, -90, 0 in ascending order.
-90, 0, 920
Put -3, 618, 1, -4, -2 in increasing order.
-4, -3, -2, 1, 618
Put 3, 4, 9, -16, 5, -1 in decreasing order.
9, 5, 4, 3, -1, -16
Sort 0.3, -1, -4, -18/101 in increasing order.
-4, -1, -18/101, 0.3
Sort -3, -6, -85.
-85, -6, -3
Sort 0, 1.36, -31, -0.5, -4/5 in ascending order.
-31, -4/5, -0.5, 0, 1.36
Put 58, 2, 5, 30, -5, -1 in increasing order.
-5, -1, 2, 5, 30, 58
Sort -2, -1/5, 0, -2/15, 2/9, 2/67 in ascending order.
-2, -1/5, -2/15, 0, 2/67, 2/9
Sort -1040, 3, -7 in increasing order.
-1040, -7, 3
Sort -0.26, 4, 47, -5, 5.
-5, -0.26, 4, 5, 47
Sort 2/109, 0.5, -0.3, 2.5, 1, -4.
-4, -0.3, 2/109, 0.5, 1, 2.5
Put -23, -402, -4, -1, 4 in decreasing order.
4, -1, -4, -23, -402
Put -16, 5, -1, -46 in descending order.
5, -1, -16, -46
Put -2, 8/19, 2, 5, -4/359 in descending order.
5, 2, 8/19, -4/359, -2
Put 484/9, -1.33, -2/7, -0.5 in ascending order.
-1.33, -0.5, -2/7, 484/9
Sort 4, -4645, -3, 1 in ascending order.
-4645, -3, 1, 4
Sort 4, -2, 1, 11, 232 in ascending order.
-2, 1, 4, 11, 232
Sort -0.26, -12/11, 6.55 in ascending order.
-12/11, -0.26, 6.55
Sort -0.4, -529, -3/4, 3, -7 in descending order.
3, -0.4, -3/4, -7, -529
Sort 2, -5, 4, -3, -2, -159 in ascending order.
-159, -5, -3, -2, 2, 4
Pu
|
{
"pile_set_name": "DM Mathematics"
}
|
2*n + 1)*(-2*n**2 - 2*n**2 + 2*n**2).
569*n**3
Expand -5847 + 103*s**3 + 5847 + (3*s**2 - 3*s**2 - s**2)*(s - s - 2*s).
105*s**3
Expand (-l - 2*l + 2*l + l - l - l + (4*l - 3*l + 0*l)*(4 + 1 - 3) - l + 0*l + 3*l - 3*l + 3*l + l)*(288*l**2 + 286*l**2 - 572*l**2 + 70).
6*l**3 + 210*l
Expand (0 + 3 - 4 + (-1 - 3 + 1)*(-3 - 3 + 5))*(114 - 44*r - 114 + (1 - 2*r - 1)*(5 - 4 - 3)) + 3*r + r - 2*r.
-78*r
Expand -65 - 8 + 3*n - 13 + (-1 + 3 - 4)*(-2*n + 3 - 3).
7*n - 86
Expand (m**2 + 2*m**2 - 4*m**2)*(669 - 515 + 503 + 840).
-1497*m**2
Expand -18*x - 10*x - 19*x - 4*x + 3*x - 2*x + (-7 + 4*x + 7)*(-3 + 1 + 3) + 6*x - 2*x - 2*x.
-44*x
Expand (-t**4 + 3*t**4 + 0*t**4)*(3 - 1 + 0)*(-13 + 3*t + 12 - 5*t).
-8*t**5 - 4*t**4
Expand (0*a + 5*a + 0*a)*(-1 + 2 + 0)*(0*a**3 + a**3 - 2*a**3)*(5 + 3 - 5).
-15*a**4
Expand (-3 + 3 - 2*q)*(-q - 4*q + 2*q) - 18 + 18 + 19*q**2 + (-3*q - 2*q + 0*q)*(-2*q - 3 + 3).
35*q**2
Expand (-4*f + 4*f + 2*f**3)*(29*f - 9*f**2 - 29*f).
-18*f**5
Expand (-69*v - 76*v + 38*v)*(1 - 5 + 7).
-321*v
Expand (2*g**3 - 2*g**3 - 3*g**3)*(252 + 2*g + 47 - 2*g**2 + 348).
6*g**5 - 6*g**4 - 1941*g**3
Expand 3*o**2 - 9*o**2 + 5*o**2 + (4 - 2*o**2 - 4)*(6 + 6 - 1) + 0*o**2 + o**2 + 0*o**2.
-22*o**2
Expand (3*t**3 + 3*t**3 - 4*t**3)*(31*t - 9*t + 8*t)*(15 + 12 - 44).
-1020*t**4
Expand (3 - 17 + 5)*(-p**4 + 8*p**4 + 4*p**4).
-99*p**4
Expand (-10 + 19 - 6)*((1 + 3 - 2)*(-2*n - n + n) - 31*n + 28*n - 13*n).
-60*n
Expand (0 - 5 + 4)*(22*b**2 + 5*b**2 + 3*b**2) - b + b + 2*b**2.
-28*b**2
Expand 2 - 2 + w - w - 6*w + 5*w + (-2*w + 3*w + w)*(-1 - 1 + 0) + (-w + 0*w - w)*(-1 - 2 - 3) + 0*w + 3*w - 5*w.
5*w
Expand (-991 - 994 + 1604)*(y + 5*y - 5*y).
-381*y
Expand 1 - 1 - 2*r**2 + (-3 + 3 + 2*r**2)*(-23 + 4 - 10) + 4*r**2 - 3*r**2 - 2*r**2.
-61*r**2
Expand (7 - 8 + 12)*(5*g + 16*g + g).
242*g
Expand (-3*o + 4*o**2 + 3*o + (3*o**2 + 0*o**2 - 4*o**2)*(0 + 1 - 2) + 11 - 11 + 9*o**2)*(3*o - o + o).
42*o**3
Expand (-w**3 + 2*w**3 - 2*w**3)*(1 + 1 - 4) + 1496 - 1496 - 132*w**3.
-130*w**3
Expand -11 + 11 - 4*i + (1 + 1 + 0)*(0*i + 0*i + 3*i).
2*i
Expand -2*k + 1 - 1 + 0*k + 2*k - k + (2*k - k - 3*k)*(0 - 3 + 2) + (k - 4*k + 4*k)*(-1 - 11 - 5).
-16*k
Expand -2*s**4 - 3*s**4 - 10*s**4 + (3*s**3 - 2*s**3 - 5*s**3)*(s + 2*s - s).
-23*s**4
Expand (-27 - 34 + 89)*(-1 + 0 + 0 + (0 - 5 + 3)*(-3 - 4 + 6) + 2 - 1 + 2)*(6*v**5 - 3*v**5 - 2*v**5).
112*v**5
Expand (0 + 0 + 1)*(-5 + 5 - 2)*(-21*j - 957 + 957).
42*j
Expand (-c**4 + 4*c**4 - c**4)*(-13*c - 1 - 1 + 15*c).
4*c**5 - 4*c**4
Expand (k + k - k)*(3*k**4 + 4*k**4 - 4*k**4) + 2*k**5 + 2*k**5 - 2*k**5.
5*k**5
Expand (-3*n - n + 5*n)*(-1 - 16 + 3*n - 2*n + (0 + 0 + 2)*(-2*n + 0*n + 3*n)).
3*n**2 - 17*n
Expand (-135*p + 383*p - 883 + 883)*(p + p**4 - p).
248*p**5
Expand ((-2*v**2 + 0*v + 0*v)*(6*v - 2*v - 2*v) - 5*v**3 + 4*v**3 + 2*v**3 + v - v - 2*v**3 + (-49 + 15*v**2 + 49)*(1 - 1 - 2*v))*(-2 - 3 + 6).
-35*v**3
Expand -4*v**4 + 4*v**5 + 4*v**4 - 36*v**5 + 10*v**5 - 6*v**5 + (v**3 + 3*v**3 - 2*v**3)*(3*v**2 - 4*v**2 + 0*v**2) - v**5 + 3*v**5 - 4*v**5.
-32*v**5
Expand (111 - 179 - 214)*(-o - 3*o + 3*o)*(-1 + 1 - 2).
-564*o
Expand 32*w - 6*w**3 - 32*w + (-w**2 - 2*w**2 + w**2)*(-1 - w + 1).
-4*w**3
Expand (4*c**3 - 2*c**3 - 3*c**3)*(-396 + 151 - 207).
452*c**3
Expand -30*m + 30*m + 6*m**3 + (-15*m + 2 - 2)*(-2*m**2 - 1 + 1).
36*m**3
Expand (13*y**3 - 8*y**3 + 25*y**3)*(0 + 0 + 2*y).
60*y**4
Expand (2*t**2 - t**2 + t**2)*(4*t - 3*t + t) + (-3*t - 2*t + 4*t)*(-89*t**2 + 36*t**2 + 14*t**2) + 5*t**3 - 6*t**3 + 0*t**3.
42*t**3
Expand -w - 1 + 1 - 3 + 3 - 5*w + (-3 + 1 - 1)*(w - 6*w + 3*w) + 1 - 1 - 4*w + (-2 + 1 + 0)*(4 - 4 - w) - 2 + 2 + 2*w + 0*w - 2*w + 0*w.
-3*w
Expand (-4 + 2 - 2)*(7*y**2 - 16*y**2 + 6*y**2 - 16*y).
12*y**2 + 64*y
Expand (0*i - i + 0*i)*(71*i + 2998 - 2998 - 7*i**2) - i + i + i**3.
8*i**3 - 71*i**2
Expand (7 + 4 + 0)*(-4 - 11 + 0)*((0*a + 2*a + 0*a)*(2 - 1 - 3) + 2*a - 5*a + 5*a)*(a + 1 - 1).
330*a**2
Expand (6 + 66*a - 23*a - 3)*(6 - 1 - 3)*(-6 + 7 + 3).
344*a + 24
Expand (3*l + l + 1036 - 1039)*(0 + 4 - 2)*(0 + 0 - 2) + (-4*l + l + l)*(2 + 0 - 4).
-12*l + 12
Expand (w + 5*w - 3*w)*(0*w**2 + 0*w**2 - 2*w**3) + 7451*w**4 - 187*w**2 - 9*w**2 - 7452*w**4.
-7*w**4 - 196*w**2
Expand 3*o**2 + 0*o**2 + 0*o**2 + (3 - 7 + 2)*(o**2 - o**2 - o**2) + 0*o**2 + 4*o**2 - 2*o**2 + 46*o - 46*o + 37*o**2 + (2 - 2 - o)*(4 - o - 4).
45*o**2
Expand (2*a - a - 2*a)*(a + 0*a + 9*a) + 7*a**2 - 2*a**2 - 3*a**2 - 1866*a + 82*a**2 + 1866*a.
74*a**2
Expand (0*g - g + 0*g - 2*g + 4*g - g + (-5 + 4 + 3)*(0*g - 3*g + 2*g) - 3*g + 2*g - 2*g)*((g - 2*g + 2*g)*(3 - 3 - 1) + 3*g - 34*g - 9*g + 2*g - 2*g - g).
210*g**2
Expand -4*m**4 + 2*m**4 + m**4 + 8*m**4 + 31*m**4 - 9*m**4 + (0*m**3 + 0*m**3 + m**3)*(3 + m - 3).
30*m**4
Expand -1 + 1 - r**3 + (-r**3 - r**3 + 4*r**3)*(-4 - 1 + 3) - 4*r**3 + 0*r**3 + 2*r**3 - 2*r**3 + 4*r**3 + 2*r**3.
-3*r**3
Expand 6*r**3 - 4*r**3 + 3*r**3 + (r**3 - r**2 + r**2)*(5 - 4 + 2) - 3*r**3 - 2*r**3 + 3*r**3.
6*r**3
Expand (0*j + 2*j - 4*j)*(4 - 1 - 1) + 2*j - 5*j + 2*j - 52 + 25 + 29 + 8*j + (j - 2*j - j)*(-1 + 0 + 2).
j + 2
Expand 4*v**2 + 2*v**2 - 4*v**2 - 3*v + 3*v + 7*v**2 + (-v**2 + v**2 - 2*v**2)*(-5 + 1 + 3) + 4*v**2 - 2*v**2 - v**2 - 3*v**2 - 2*v**2 + 7*v**2.
14*v**2
Expand (3*p**2 + 3 - 3)*(41 + 20 - 110) + 3*p + p**2 - 3*p.
-146*p**2
Expand -y**5 - y**5 - 4*y**5 + (y + 2*y - y)*(0*y**2 + 4*y**4 + 0*y**2) - y**5 - y**5 + y**5.
y**5
Expand (0*f + f + 2*f)*(0*f + 0*f - f) + 77*f**2 - 47*f**2 + 39*f**2.
66*f**2
Expand (-2*s - 2*s + 3*s)*(0*s**2 + 3*s**2 - s**2)*(7 - 14 - 6)*(-3 + 3 + 8*s).
208*s**4
Expand (0*u + 6*u + u)*(-2 + 0 + 3) + 5*u + 0*u + 0*u - 1 + 3*u + 1 + (0 + 1 + 0)*(-4*u - u + 3*u).
13*u
Expand (0*d + 0*d + 3*d**2)*(2 - 1 - 4) - 9*d**2 - 25*d**2 + 6*d**2.
-37*d**2
Expand (-8 + 8 - 3*f)*(15*f**2 - 147*f**2 + 2*f**3 - 138*f**2)*(-f + 0*f + 3*f).
-12*f**5 + 1620*f**4
Expand ((h**2 + 3*h**2 - 2*h**2)*(2*h**2 - h**2 - 3*h**2) + 3*h**4 - 6*h**4 + 2*h**4 - 2*h**3 + 2*h**3 + h**4)*(-105*h - 43*h - 24*h).
688*h**5
Expand (-y + 14*y - 3*y)*(-1 + 0 - 1)*(3 - 1 + 1).
-60*y
Expand (3 - 4 - 2)*(0 + 6 - 1)*(-3 + 3 + y).
-15*y
Expand (2486*k + 5*k**3 - 2480*k - 2*k**3 - k**4)*(0 - 3 + 1).
2*k**4 - 6*k**3 - 12*k
Expand 3*o + 2*o - 3*o + (-o + o - 3*o)*(4 - 7 + 2) + (0 + 5 - 3)*(3 - 3 - o) + (-34*o - 523 + 523)*(1 - 1 + 1).
-31*o
Expand 2*j**2 - 2*j**2 + j**5 + (-8*j**3 - 24*j**3 - 9*j**3)*(-j**2 + 5*j**2 + 2*j**2) - 5 + 3*j**5 + 5 + (-3*j**3 + j**4 + 3*j**3)*(3*j + 3*j - 5*j).
-241*j**5
Expand (0*n**2 + 0*n**2 - n**2)*(6*n**3 - 16*n**3 - 45*n**3) + (n**5 - 4*n + n**5 + n)*(1 + 1 + 0).
59*n**5 - 6*n
Expand (33*z**3 + 8*z**3 - 8*z**3 + (-1 - z + 1)*(3*z**2 - 2*z**2 + 0*z**2))*(z - 2 + 2).
32*z**4
Expand 4 + 7*f - 4 + (-6 + 4 + 1)*(-2*f - 2*f + 3*f) + 4*f + 0*f - 2*f.
10*f
Expand (-3*m + 5 - 5)*(2 - 5 + 1) + (-m + 0*m + 2*m)*(1 + 0 + 3) + 2*m - m + 4*m.
15*m
Expand (-6 + 10 - 1)*(0*y**3 - y**4 + 0*y**3) + (6*y**4 - 2*y**4 - 2*y**4)*(-2 - 1 + 5).
y**4
Expand (-2*l + 2*l - 2*l)*(-5 + 3 + 3 + (0 + 3 - 1)*(-4 - 1 + 3) + 0 - 3 + 2 - 2 + 0 + 4 + 0 - 1 - 3).
12*l
Expand (-4*p + 2*p - 2*p)*(38 - 115 - 206).
1132*p
Expand (-3*m**3 - m**3 + 5*m**3)*(m**2 - 1 + 1 + (326*m - 516*m + 287*m)*(-4*m + 4*m - 2*m)) + (2*m**4 + m - m)*(-m + 2*m + 0*m).
-191*m**5
Expand 0*y**3 + 2*y**3 + 0*y**3 + (-1 + y**2 + 1)*(-y - y + y) + (-4*y + 0 + 0)*(10*y**2 + 17*y**2 + 11*y**2).
-151*y**3
Expand (-4*v + 7 - 7)*(56*v - 62 + 62 + 4*v - 3*v + v + v - 2*v + 2*v - v - 3*v + 3*v + (1 + 1 - 4)*(-2*v - 5 + 5) + 0*v - v + 3*v - 3*v - v + 2*v).
-248*v**2
Expand (-2 + 3 + 2)*(3*w - 3*w - w**4) + 2*w**4 - 5*w**4 + 0*w**4 + 13*w**4 - 14*w**2 + 14*w**2 + (5*w - 3*w + 0*w)*(4 - 4 - 2*w**3).
3*w**4
Expand -2*f + 0*f + 0*f + (f - 2*f + 4*f)*(2 - 3 - 3) + 11 - 6*f - 11 + 2*f - f + 0*f.
-19*f
Expand (-132 + 41 - 108)*(2 + m - 2).
-199*m
Expand (-2*s + 6 - 6)*(12 + 19 + 60).
-182*s
Expand (-1 + 1 - 1 + (1 + 2 - 2)*(-2 + 2 + 2))*(21806 - 159*b**2 - 21806).
-159*b**2
Expand (-6*y**3 + y - 3*y**3 - 9*y**3)*(-11 - 22 + 9).
432*y**3 - 24*y
Expand (-7*l + 31*l - 15*l + 4*l - 4*l - 2*l + (-l + 0 + 0)*(3 + 2 - 4))*(-2*l - 6*l + 0*l)*(-1 + 3 - 1 - l**3).
48*l**5 - 48*l**2
Expand -2*k**5 + k**5 + 2*k**5 + (-2*k**4 + 0*k**4 + 0*k**4)*(-2*k + 3*k - 2*k) - 2*k**4 + 2*k
|
{
"pile_set_name": "DM Mathematics"
}
|
-2
Solve 0 = 28*r - 3*r - 75 for r.
3
Solve 16*m + 8 = 12*m for m.
-2
Solve 73*h - 10*h + 504 = 0 for h.
-8
Solve -l - 6*l - 28 = 0 for l.
-4
Solve 9*j = 13*j for j.
0
Solve -b - 5*b = -6 for b.
1
Solve -17*r + 8*r + 9 = 0 for r.
1
Solve 13*b = -4*b + 85 for b.
5
Solve -132*l - 20 = -127*l for l.
-4
Solve -555 = -29*k - 439 for k.
4
Solve -33*i = -14*i for i.
0
Solve 25 = -5*d + 10*d for d.
5
Solve 205*y = 201*y for y.
0
Solve 3*h = -18 + 18 for h.
0
Solve 0 = 9*t - 148 + 175 for t.
-3
Solve -21*y - 119 + 77 = 0 for y.
-2
Solve 3*o = 6*o + 6 for o.
-2
Solve 0 = 11*d + d for d.
0
Solve 10*h = 25*h + 15 for h.
-1
Solve -56 = -39*d - 56 for d.
0
Solve 736*j + 90 = 721*j for j.
-6
Solve 3*r = 23*r - 80 for r.
4
Solve -26*y = -23*y + 6 for y.
-2
Solve -276 = -864*z + 818*z for z.
6
Solve 10 = -11*h - 1 for h.
-1
Solve 0 = 2*k + 2*k - 8 for k.
2
Solve -32*o - 33 = 95 for o.
-4
Solve -95 = 18*k + 49 for k.
-8
Solve 0 = 26*p - 31*p - 10 for p.
-2
Solve -64 - 292 = -89*a for a.
4
Solve -28*r = -21*r + 14 for r.
-2
Solve 38*r = 69*r - 124 for r.
4
Solve o - 6*o - 9*o = 0 for o.
0
Solve 107*l = 105*l + 4 for l.
2
Solve -3*o + 5*o = -2 for o.
-1
Solve 341*t = 345*t - 12 for t.
3
Solve 19 = w + 23 for w.
-4
Solve -269*j = -299*j + 210 for j.
7
Solve 35*k - 8 = 39*k for k.
-2
Solve 0 = -8*j - 284 + 308 for j.
3
Solve 0 = q - 3 - 2 for q.
5
Solve 18*z - 24 = 24*z for z.
-4
Solve 20 = -n + 25 for n.
5
Solve -6*v = -5*v + 2 for v.
-2
Solve -128 = c - 137 for c.
9
Solve -44*l - 207 = -119 for l.
-2
Solve -35*c + 20*c = 0 for c.
0
Solve 0 = 11*y + 2*y + 39 for y.
-3
Solve 13 = -5*w - 17 for w.
-6
Solve 17*z + 8 = 19*z for z.
4
Solve -18*t = -16*t + 2 for t.
-1
Solve 29*y - 97*y = -748 for y.
11
Solve -100 = -97*m + 77*m for m.
5
Solve 0*w = 16*w + 16 for w.
-1
Solve -29*g + 28 = -33*g for g.
-7
Solve -55*v - 470 + 140 = 0 for v.
-6
Solve -45*d = -49*d - 4 for d.
-1
Solve 380*g = 382*g - 12 for g.
6
Solve 35 = z + 37 for z.
-2
Solve -423 = 7*p - 388 for p.
-5
Solve -5 = -3*r + 7 for r.
4
Solve 173*f - 181*f + 48 = 0 for f.
6
Solve -125 = -14*l - 83 for l.
3
Solve -60 = 105*v - 93*v for v.
-5
Solve -15*z + 3*z = 84 for z.
-7
Solve -6*y = 6 - 24 for y.
3
Solve 13 = 2*t + 21 for t.
-4
Solve 22 = -3*s + 10 for s.
-4
Solve 23*b = 11 + 35 for b.
2
Solve 0 = 48*x + 186 + 54 for x.
-5
Solve 65 = 22*q - 23 for q.
4
Solve 10 = 3*k + 16 for k.
-2
Solve -83 = -4*x - 99 for x.
-4
Solve 7*t - 1 = 6*t for t.
1
Solve 0 = 13380*c - 13390*c + 60 for c.
6
Solve -24*m + 25*m - 1 = 0 for m.
1
Solve -20 + 18 = -2*g for g.
1
Solve -10 = -4*u - u for u.
2
Solve -32 = 12*a - 4*a for a.
-4
Solve -28*a - 155 = 97 for a.
-9
Solve -5*m + 47 - 67 = 0 for m.
-4
Solve -9*o + 9 = 27 for o.
-2
Solve 2*p + 12 - 20 = 0 for p.
4
Solve -16*u + 75 = -37 for u.
7
Solve 179*i - 175*i = -28 for i.
-7
Solve -5*a = -69 + 89 for a.
-4
Solve 20*p + 48 = 44*p for p.
2
Solve 3*x - 5 = -2 for x.
1
Solve -25*y - 63 + 213 = 0 for y.
6
Solve -12*s + 14*s + 12 = 0 for s.
-6
Solve 0 = -42*l + 54*l + 24 for l.
-2
Solve -28*i + 16 - 100 = 0 for i.
-3
Solve -7*j - 81 = 20*j for j.
-3
Solve -21*u + 27*u = 24 for u.
4
Solve -36 = 211*u - 202*u for u.
-4
Solve 6 - 8 = -i for i.
2
Solve -6*t + 0*t = 24 for t.
-4
Solve -6765*x - 32 = -6757*x for x.
-4
Solve -14 = -0*m + 7*m for m.
-2
Solve -168 = -72*p - 528 for p.
-5
Solve 2*r - 3 = -7 for r.
-2
Solve -8*a = -3*a for a.
0
Solve -1110 = -18*q - 1020 for q.
5
Solve 0 = -18*g - 60*g + 468 for g.
6
Solve -35*a - 122 - 263 = 0 for a.
-11
Solve 10*l - 49 = -119 for l.
-7
Solve -10*w = -74*w + 320 for w.
5
Solve 20 = 52*i - 57*i for i.
-4
Solve 11*o - 15*o = 0 for o.
0
Solve 19*p + 5 - 62 = 0 for p.
3
Solve 649*n = 644*n + 35 for n.
7
Solve 13*s = 4*s for s.
0
Solve 60 - 28 = -16*a for a.
-2
Solve -1 + 10 = 3*t for t.
3
Solve -5*d + d = 9*d for d.
0
Solve 27*h - 38 = -38 for h.
0
Solve -8*l = -5*l + 15 for l.
-5
Solve 2*q = -10*q + 60 for q.
5
Solve 9*q = -153 + 135 for q.
-2
Solve 17 - 89 = -18*x for x.
4
Solve 0 = 7*h - 140 + 91 for h.
7
Solve -187 = -4*h - 203 for h.
-4
Solve -94 = -15*g - 19 for g.
5
Solve 4*b + 16 - 16 = 0 for b.
0
Solve 0 = 3*w + 51 - 36 for w.
-5
Solve 21*p - 87 = -3 for p.
4
Solve 30 = 5*u + u for u.
5
Solve 17*x - 162 = 179*x for x.
-1
Solve 0 = 3*w - 16*w - 26 for w.
-2
Solve -w = 5*w + w for w.
0
Solve 2*f + 21 = 13 for f.
-4
Solve 74*c = 78*c - 4 for c.
1
Solve -72 = 11*i - 6 for i.
-6
Solve 1234*t - 36 = 1240*t for t.
-6
Solve -8*u - 8 = -48 for u.
5
Solve -25*t - 2 = 48 for t.
-2
Solve 0 = -65*k - 32 + 292 for k.
4
Solve -115*h + 112*h = 0 for h.
0
Solve 0 = -30*c + 6*c - 144 for c.
-6
Solve 36*s = 47*s + 33 for s.
-3
Solve 289*c = 309*c - 80 for c.
4
Solve 82*o - 85 = 65*o for o.
5
Solve 0 = -11*w + 52 - 8 for w.
4
Solve -17*l - 190 = 2*l for l.
-10
Solve 0 = 4*d + 36*d + 320 for d.
-8
Solve -29*u + 125 - 67 = 0 for u.
2
Solve 2*j + 464 = 476 for j.
6
Solve -66*a + 100 = -91*a for a.
-4
Solve -2*n = 4*n + 30 for n.
-5
Solve 0 = -b - 2 + 3 for b.
1
Solve -413 = -15*i - 263 for i.
10
Solve -4*k = -3*k - 5 for k.
5
Solve 15*u + 51 - 66 = 0 for u.
1
Solve -8 = 31*s - 29*s for s.
-4
Solve 87 = 16*b + 13*b for b.
3
Solve 0*o + 15 = -5*o for o.
-3
Solve 12 = 12*f - 15*f for f.
-4
Solve -13*m = 19*m - 192 for m.
6
Solve -8 = -99*c + 95*c for c.
2
Solve 66 = -b + 63 for b.
-3
Solve 13*z = 16*z - 3 for z.
1
Solve 44 = -22*q - 132 for q.
-8
Solve 0 = -2*v + 5 + 1 for v.
3
Solve -50*u = -21*u + 232 for u.
-8
Solve 5*p = -13 - 2 for p.
-3
Solve -7*t - 25 = -12*t for t.
5
Solve -355 + 475 = -15*f for f.
-8
Solve 14*o - 38 - 18 = 0 for o.
4
Solve 616 = 16*b + 61*b for b.
8
Solve -134*i + 139*i - 15 = 0 for i.
3
Solve -s = -13*s - 48 for s.
-4
Solve -b + b = -4*b for b.
0
Solve -134*i - 168 = -113*i for i.
-8
Solve -1 = -t - 3 for t.
-2
Solve 0 = 7*m - 41 - 22 for m.
9
Solve -3*i = -9*i + 42 for i.
7
Solve -24*q - 29*q - 318 = 0 for q.
-6
Solve 189*g - 181*g = 16 for g.
2
Solve 1 - 11 = 2*i for i.
-5
Solve 7*d - 22 = 18*d for d.
-2
Solve -t - 6*t = 14 for t.
-2
Solve 87*r = 90*r - 3 for r.
1
Solve 21*g + 30 = 15*g for g.
-5
Solve 0 = 12*y - 24*y + 12 for y.
1
Solve 32*h + 12 = 35*h for h.
4
Solve -28 = 10*d + 2 for d.
-3
Solve 15*c = -88 + 88 for c.
0
Solve -45*b - 35*b - 160 = 0 for b.
-2
Solve 8*u - 40 + 0 = 0 for u.
5
Solve -6*z = 15*z - 105 for z.
5
Solve w - 12 + 14 = 0 for w.
-2
Solve -43*j + 114 = -24*j for j.
6
Solve 14*s + 13*s = -54 for s.
-2
Solve -6*z + 20 = 4*z for z.
2
Solve -6*b + 3 = -3 for b.
1
Solve 0 = -42*f + 46*f + 16 for f.
-4
Solve 15*f + 400 - 370 = 0 for f.
-2
Solve 0 = 3*z - 4*z - 4 for z.
-4
Solve 40 + 20 = 10*x for x.
6
Solve 0 = -6*d - 7 - 5 for d.
-2
Solve -79*l = -95*l - 96 for l.
-6
Solve 0*j + 4*j = 0 for j.
0
Solve -349*g = -353*g + 16 for g.
4
Solve 2*y + 152 - 140 = 0 for y.
-6
Solve 0 = -18*t - t - 19 for t.
-1
Solve 8*a = -4*a + 48 for a.
4
Solve 0 = 2*w + 12*w - 28 for w.
2
Solve 3*m = -18 + 12 for m.
-2
Solve 2*o + 0 = 10 for o.
5
Solve 6*d = 22 - 52 for d.
-5
Solve 258 = 53*u - 10*u for u.
6
Solve 18*s + 59 - 41 = 0 for s.
-1
Solve -10 = -5*j - 25 for j.
-3
Solve -l + l = -l for l.
0
Solve 3*c + 18*c - 84 = 0 for c.
4
Solve 7*o + 1677 = 1656 for o.
-3
Solve 1263*c - 21 = 1270*c for c.
-3
Solve 40*g - 39*g - 9 = 0 for g.
9
Solve -88 = -82*s + 76 for s.
2
Solve 0 = 41*m - 52*m - 22 for m.
-2
Solve -18 = -19*u + 25*u for u.
-3
Solve 6*k = -33 + 27 for k.
-1
Solve 101 - 125 = 6*u for u.
-4
Solve 0 = 12*g - 3410 + 3506 for g.
-8
Solve 70 = -19*d - 6 for d.
-4
Solve -12 = 3*t + 3 for t.
-5
Solve 2*h - 56 + 58 = 0 for h.
-1
Solve 8*s = -11*s + 38 for s.
2
Solve -777*b + 759*b - 72 = 0 for b.
-4
Solve 19*g = 4*g + 90 for g.
6
Solve -7*p + 143 = 171 for p.
-4
Solve 490 = 42*r + 7*r for r.
10
Solve 13*j - 1847 = -1938 for j.
-7
Solve 2*x + 6 = -0*x for x.
-3
Solve 93*k - 377 = -5 for k.
4
Solve 2 = -24*o + 26*o for o.
1
Solve 0 = 13*r - 19*r + 30 for r.
5
Solve -315 = -60*k + 105*k for k.
-7
Solve -24*m + 4*m = 60 for m.
-3
Solve b - 29*b = 0 for b.
0
Solve 0*z = 2*z + 2 for z.
-1
Solve -127 = -6*h - 139 for h.
-2
Solve 674*i = 720*i - 138 for i.
3
Solve 7*u = -5*u for u.
0
Solve -222*x + 237*x - 45 = 0 for x.
3
Solve -134*z + 141*z - 28 = 0 for z.
4
Solve 0 = 6*x + 2 + 34 for x.
-6
Solve 0 = -11*h + 48 - 26 for h.
2
Solve -2 =
|
{
"pile_set_name": "DM Mathematics"
}
|
-z*d + 5*v + 25, 13*d + 15 = 11*d - 3*v. Suppose -l - 4 = d, 3*l - 7*l + 16 = 4*n. Solve 2*k - n = 2 for k.
5
Suppose 1456 = 4*u + 3*v, 0 = 9*v - 4*v + 20. Suppose 372*z = u*z + 55. Solve z = -10*j + 31 for j.
2
Suppose -2*y + 261 = i + 1411, 0 = -2*y - 3*i - 1146. Let o = 621 + y. Solve 43*s - 4 = o*s for s.
-2
Suppose 244 + 64 = -28*r + 28. Suppose 4*f = -5*q - 44, 4*q + 60 = 2*f + f. Let t = r - q. Solve -2*k = t*k for k.
0
Let i(d) = 2*d - 49. Let u be i(28). Let h be (u/4)/(76/(-16) - -5). Suppose -4 = -8*g + h*g. Solve -y + g*y - 6 = 0 for y.
2
Let m(p) = -19*p - 27. Let n(i) = -5*i - 7. Let v(d) = -2*m(d) + 9*n(d). Let z = 38 + -41. Let a be v(z). Solve 3*k + k + a = 0 for k.
-3
Suppose 0 = 115*a - 89*a - 8008. Solve 0 = 264*b - a*b + 396 for b.
9
Suppose w = -3*w + 20. Let g(b) = 5*b**2 - w*b - 68 - 4*b**2 + 68. Let f be g(6). Solve -f*i = -i for i.
0
Suppose 19*t = -255*t + 6576. Solve -b - 69 = -t*b for b.
3
Suppose -2*m = -o + 13, 5*o + 7 = -4*m + 2. Let f be 6/8 - 3*o/(-4). Solve 5*b + f = 6*b for b.
3
Let m be (-6)/36*0 - (-10 - 0). Suppose 6*l = m + 26. Solve 10 + l = 4*j for j.
4
Suppose -2*p - 2100 = -177*p. Solve p*u = 52*u - 160 for u.
4
Let x be (12/5)/2*(-20)/(-6). Suppose 4*c - 5*h + 5 - 1 = 0, 4*c = x*h. Suppose -3*o = 5*a, 4*o = c*a - 20 - 12. Solve y + a*y = -4 for y.
-1
Let k = 1635 - 1593. Solve -63 = 21*n + k for n.
-5
Let n be 3 - ((-1)/1)/((-6)/(-6)). Suppose n*m = 12*m - 4*m. Let o = 4 + 0. Solve m = -4*p - o for p.
-1
Suppose 5*h - 6 = -1, -5*h - 3 = -2*d. Let i = -114 - -106. Let t be 0 - i/(-3 + d). Solve t*f - 3*f - 10 = 0 for f.
2
Let h = -1973 - -2703. Solve -18*r + 622 - h = 0 for r.
-6
Let d(w) = -w**2 + 12*w + 15. Let f be d(13). Suppose -f*a + 3*z - 8*z = 10, 3*z = -12. Suppose 3*u - 8 = 4*l, -4 = -5*l + 1. Solve a = u*j + j for j.
1
Let q(i) be the second derivative of i**4/12 + 11*i**3/6 + 92*i. Let z be q(-11). Solve a + 1 - 3 = z for a.
2
Suppose 5*z - 237 = i + 3*i, -88 = -2*z + 5*i. Suppose -3*w + 0*w + z = 2*f, -3*w + f = -43. Solve -w - 17 = 8*u for u.
-4
Suppose 16 = -13*v + 17*v. Let n(w) = w**3 - 8*w**2 + 7*w + 5. Let u be n(7). Suppose u*o + v*y - 19 = 0, 0 = -2*o + y + 2*y + 3. Solve -6 = t - o*t for t.
3
Let a be (-75)/30*5/((-50)/12). Suppose 14*b - a = 18*b + 3*l, -3*b = -l - 14. Solve 2*u = b*u for u.
0
Suppose -3*g = 5*j - 952, 44*j + 4 = 40*j. Solve -g + 346 = -9*o for o.
-3
Suppose y - 2502 = -5*y. Let z = y + -408. Solve z = 2*g + 5 for g.
2
Let p = 40 - 55. Let x be (-6 + 9/3)*1. Let t be 0 + p/(-3) - (0 - x). Solve 3 = -t*l - 1 for l.
-2
Suppose -l = -2*q - 68, 1 - 26 = -5*q. Solve l*z - 3 = 81*z for z.
-1
Suppose 63*d + 2*q = 62*d - 4, 3*q + 13 = 2*d. Solve 3*n - d*n + 6 = 0 for n.
-6
Let w(r) = -r**3 - 2*r**2 + 25*r + 16. Let y be w(-6). Let q = 402 - 323. Solve -81*t = -q*t - y for t.
5
Let x be (-1)/(-2)*49*(13 - 11). Solve 0 = -5*k - 14 + x for k.
7
Suppose 0 = -38*k + 56*k - 36. Suppose -14 = -2*m - k. Solve 12*l = 9*l - m for l.
-2
Suppose 39*t = -46*t - 16*t + 1010. Solve 43 = -t*k + 23 for k.
-2
Let m(u) = -2*u + 13. Let s be m(4). Let p be 4/10 - (-23)/s. Solve 6*i + 25 + p = 0 for i.
-5
Let d be (-6 - (-6 + 5))*-3*7. Suppose d*c - 117 = 92*c. Solve c*x - 1 - 8 = 0 for x.
1
Let d(t) = 5*t - 5. Let v be d(6). Suppose 3*l = -q - 6, l + 4 = -3*q - l. Suppose -i - i + k + 20 = q, 24 = i - 4*k. Solve -i*f = -3*f + v for f.
-5
Suppose -3762 = -8*h - 2394. Solve -p = 169 - h for p.
2
Let t(r) = -r + 15. Let n be t(13). Let v be 124/8*(0 + 0 + n). Suppose 32*l = v*l. Solve 0*d - d = l for d.
0
Let g be -12*(-3 + 7/3). Let i(a) = a**2 - a - 12. Let d be i(5). Suppose -7*o = -22 + d. Solve o*b - 4*b + g = 0 for b.
4
Let b = -55 - -73. Let v = b - 18. Let h(n) = -n - 9. Let g be h(-11). Solve -g*i - i - 6 = v for i.
-2
Let y be 0/(((-4)/(-4)*5)/1). Suppose 45*s - 50*s = y. Solve 5*a + 19 + 6 = s for a.
-5
Let i(j) be the third derivative of j**4/2 - 7*j**3/6 - j**2 - 2. Let w be i(1). Suppose 0 = 2*g - 0*g - 4. Solve -w*u + 13 = -g for u.
3
Let m = 5658 + -5467. Solve -54*v - 79 = m for v.
-5
Let v(h) = 5*h**2 + 6*h + 12. Let u be v(-2). Suppose u = 5*n, -5*m - 3*n = -6 - 11. Solve 2*c - m + 5 = 0 for c.
-2
Let q = -948 + 931. Let v be 33/2 + 2/4. Let c = q + v. Solve -4*i - 4 = -c*i for i.
-1
Suppose -3*l - 2 = -5*s - 0, -2*l - 14 = 3*s. Let v be (s - 21/(-11)) + (-268)/(-44). Solve -5 = -v*o + 7*o for o.
-5
Let c(a) = a**2 - 52*a + 615. Let z be c(34). Solve -35*l + 32 = -z*l for l.
1
Suppose -67*r + 6611 = 16*r + 718. Solve -r*f = -25*f - 276 for f.
6
Suppose 264*v = 1082 + 2350. Solve -13*n + v = -0*n for n.
1
Let x(w) = -211*w + 6968. Let k be x(33). Let z = -3 - -5. Solve 3*d = -z + k for d.
1
Let q(a) = -a**3 + 7*a**2 + 3. Suppose 0 = -5*m - l + 32, -2*l = -2*m + 7*m - 29. Let x be q(m). Suppose 1 = -s, -x*p + 3*s - 2 = -11. Solve -j + 3*j = p for j.
1
Let c(p) = -6*p**2 + 6*p - 9. Let g(k) = -10*k**2 + 9*k - 13. Let t(d) = 7*c(d) - 5*g(d). Let b be t(1). Solve -b = 3*r - 22 for r.
5
Let l(g) = -15*g - 25. Let v be l(-3). Suppose v*c - 21*c = -6. Solve -5*a - 16 + c = 0 for a.
-2
Suppose -3*k = 5*p + 16, -2*p - 20 = -5*k - p. Solve -18 + k = -3*y for y.
5
Suppose 4*z = 20, 3*h - 2*z + 7*z + 746 = 0. Let n = h + 261. Solve -2*b = -n*b - 2 for b.
-1
Suppose -292*k = -411*k. Solve k = -26*z - 141 + 141 for z.
0
Suppose 0 = m + 27 - 25, 4*m + 2 = -2*r. Suppose 0 = r*n - 249 + 234. Solve -1 = n*o + 19 for o.
-4
Let l = -2 - -16. Let g be (-4 + -1)/(7/l). Let b = 12 + g. Solve -b + 17 = 5*u for u.
3
Let w = -27797 + 27797. Solve w = 16*u + 46 - 190 for u.
9
Let q = 2329 + -1590. Let g = q - 727. Solve g = 6*v - 2*v for v.
3
Let r = -7568 + 7568. Solve -2*o + 952 - 970 = r for o.
-9
Suppose -3*z - 97 = -109. Let x(b) = -b + 6*b - b - 4. Let a be x(z). Solve -3*u - u = -a for u.
3
Suppose 3*x + 135 = 27. Let r(y) = y**3 - 2*y**2 + y + 2. Let s be r(4). Let f = x + s. Solve 0 = z + z - f for z.
1
Let j be 1/((1 + 0)*(-1 - 112/(-98))). Solve 30 = -j*b + 16 for b.
-2
Let y = -18 - -21. Let g(h) = -2*h**3 + 13*h**2 + 14*h - 7. Let b(p) = p**3 - p. Let l(k) = y*b(k) + g(k). Let a be l(-12). Solve a*j + 8 = -2 for j.
-2
Let p be (5 - 3) + 1 + 10. Suppose -10*c + 604 = 524. Solve c*v = p*v + 25 for v.
-5
Let m = -29271 - -29370. Solve 0 = -29*i + m + 17 for i.
4
Suppose -19 = 5*m - 54. Let h(j) = 51*j - 354. Let g be h(m). Solve g = p - 1 for p.
4
Suppose 4*l = 390 + 42. Let j = 113 - l. Solve j*u - 9*u + 4 = 0 for u.
1
Let s(i) = 2*i**3 + 9*i**2 + 3*i. Let u be s(-4). Suppose 4*q - 36 = -3*l - q, 2*l = u*q + 24. Solve 8*x - l = 11*x for x.
-4
Suppose -19*w + 15*w = 3*g - 281, -w - g = -69. Solve -5*c = 49 - w for c.
5
Let j(x) = -97*x - 6651. Let l be j(-69). Solve -24*n - 258 = -l for n.
-9
Let m = -6568 - -6568. Solve m = 3*h - 43 + 46 for h.
-1
Suppose -3*t + 4*s = -16, 34*s - 8 = 5*t + 36*s. Solve -8*m + 105 - 145 = t for m.
-5
Let c be ((-1)/(-3)*-73)/((-397)/(-1191)). Suppose -x - 4*m - 162 = -3*x, -3*m - 3 = 0. Let f = c + x. Solve n = -f + 3 for n.
-3
Let b(h) = 5 - 64*h**3 + 65*h**3 - h**2 - 2*h + 7*h + 7*h**2 + h**2. Let r be b(-3). Solve 14 + r = 8*c for c.
5
Let u(j) = 44*j + 1151. Let a be u(-26). Solve a*o - 12 = 5*o for o.
6
Suppose -24 = -v - 3*j, -2*v - 3*j + 4465 = 4435. Let d(x) = x + 1. Let t be d(1). Solve t*g + g - v = 0 for g.
2
Let x(i) = -18*i + 808. Let b be x(44). Let w = -1 + 5. Suppose -w*t = -b, 21 = -s + 6*s - t. Solve s - 15 = 5*j for j.
-2
Suppose 4*h - 2*p = p + 372, -2*h + 4*p = -166. Solve 35*q + h = 46*q for q.
9
Let p = -4 + 6. Let n(k) = k**3 - 5*k**2 + 13*k - 54. Let l be n(6). Let t be 3/(-36) + l/720. Solve 0*y + p*y + 8 = t for y.
-4
Suppose -2*z - 6 = -4*z. Suppose 35 = z*o + 4*d, 4*o + 6 = 2*d + 16. Suppose -g + 10 = -2*j, 3 - 28 = o*g + 5*j. Solve g = 3*q - 6 - 3 for q.
3
Let c = -3631 + 3647. Solve c*b = -4*b + 20 for b.
1
Let t = -18713 + 19102. Solve -39 = -350*q + t*q for q.
-1
Let w = 9 - 4. Suppose -3*o + 9 = n, 2*o - w = -2*n + n. Solve -o*s + 3 = -1 for s.
1
Let b(z) = 3*z**2 + 28*z + 5. Let u be b(-9). Let m be 10/(-8)*(-8 - u). Solve -m*f = -f + 4 for f.
-1
Let x = 10 - -13. Suppose 2*g + 15 = x. Let d be g + -1 - 2/6*3. Solve -d = 2*l - 4*l for l.
1
Let g = -14 - -33. Suppose g*l - 28*l = -54. Solve -7*x + l*x - 1 = 0 for x.
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
x(b) = 2*b**2 + b**2 - 5*b**2. Let c(j) be the first derivative of j**3/3 + 28. Give x(c(m)).
-2*m**4
Let l = -4 - -9. Let t(n) = -l*n + n + 2*n. Let p(u) = 3*u**2 + 5. Let k(g) = -2*g**2 - 4. Let s(m) = 5*k(m) + 4*p(m). Determine s(t(a)).
8*a**2
Let r(y) = -6*y. Let p(j) = 1450*j. Give p(r(z)).
-8700*z
Let n(k) = k. Let z(b) = 78*b + 2. Give n(z(i)).
78*i + 2
Let l(u) = -u. Let x(i) be the first derivative of i**3 + 3. Determine l(x(r)).
-3*r**2
Let t(q) = 49*q. Let h(d) = 134*d**2. What is t(h(i))?
6566*i**2
Let r(l) = -3*l**2. Let g(x) = -91*x. What is r(g(t))?
-24843*t**2
Let g(s) = -5*s**2 - 4. Let q(c) = 7*c**2. Determine q(g(l)).
175*l**4 + 280*l**2 + 112
Let c(d) = 55*d. Let y(i) = i**2. Give y(c(t)).
3025*t**2
Let f(j) = -66*j - 24*j + 6*j. Let y(l) = 2*l. Calculate f(y(c)).
-168*c
Let g(r) = -r - 1. Let k(v) = v**2 - v - 1. Let f(o) = -g(o) + k(o). Let j(d) = -429*d + 429*d + 2*d**2. Calculate j(f(n)).
2*n**4
Let s(m) be the first derivative of -2*m**3/3 + 1. Let t(l) = 3*l**2 - 4*l. Let k(v) = v. Let p(y) = 4*k(y) + t(y). Determine s(p(o)).
-18*o**4
Let l(c) = -2*c**2 - c**2 + 2*c**2 - 2*c**2. Let p(u) = u. What is p(l(q))?
-3*q**2
Let m(f) = 2*f. Let p(v) be the first derivative of -v**4/12 + 2*v + 1. Let u(q) be the first derivative of p(q). Calculate m(u(r)).
-2*r**2
Let m(u) = 2*u. Let a(s) be the first derivative of -5*s**3/6 + 3*s + 2. Let r(b) be the first derivative of a(b). Calculate r(m(t)).
-10*t
Let z(l) = l**3 + 3*l**2 - l + 3. Let p be z(-3). Let o(m) = 6*m - 3*m**2 - p*m. Let r(q) = q. Give o(r(x)).
-3*x**2
Let h(l) = -27*l. Let w(u) = 2*u - 76. Calculate w(h(s)).
-54*s - 76
Let v(b) be the first derivative of b**4/8 + 5*b**2 - 6. Let h(x) be the second derivative of v(x). Let j(k) = k**2. Determine j(h(z)).
9*z**2
Let j(n) = -8*n. Let c(o) = -63*o**2. Calculate j(c(d)).
504*d**2
Let w(y) = 2*y + 12. Let o be w(-5). Let p(h) = 2*h - 2*h**o + 2*h - 4*h. Let c(l) = 4*l**2. Calculate p(c(i)).
-32*i**4
Let m(s) = 204*s. Let z(w) = -w**2. What is z(m(p))?
-41616*p**2
Let l(f) = 2*f. Let w(r) = -380*r**2. Determine l(w(o)).
-760*o**2
Let k(t) = -2*t. Let x(o) = o**2 + o + 1. Let d = 201 - 135. Let v(z) = 12*z**2 + 11*z + 11. Let m(i) = d*x(i) - 6*v(i). Calculate m(k(f)).
-24*f**2
Let q(v) = 3*v + 2. Let s(m) = 10*m + 7. Let c = 6 - 4. Let u(h) = c*s(h) - 7*q(h). Let r(n) be the first derivative of 2*n**3/3 + 10. Determine r(u(t)).
2*t**2
Let c(z) = 3*z - 4. Let j = -3 - -7. Let x(q) = j*q - 3*q - 3 + q. Let f(t) = 3*c(t) - 4*x(t). Let v(r) = 3*r. Determine f(v(s)).
3*s
Suppose i - 5 = 11. Let n(d) = i - 3*d - 16. Let m(j) = 4*j**2. Determine n(m(v)).
-12*v**2
Let c(q) = q - 18. Let p(z) = -4*z - 5. Let b(m) = 2*m + 2. Let i(u) = -5*b(u) - 2*p(u). What is i(c(w))?
-2*w + 36
Let q(d) be the first derivative of -13*d**3/3 + 41. Let t(s) = -3*s. Determine q(t(u)).
-117*u**2
Let x(s) = s. Let d(a) be the second derivative of -a**3 - 14*a. What is d(x(n))?
-6*n
Let s(x) be the third derivative of 7*x**4/24 - 2*x**2. Let y(k) be the third derivative of -k**5/60 - 3*k**2. What is s(y(j))?
-7*j**2
Let h(b) = -b**2. Let w(l) be the third derivative of -l**4/24 - 10*l**2. Calculate h(w(t)).
-t**2
Let t(i) = 5*i**2. Let a(v) = -4*v**2 + 0*v**2 + 9*v**2. Determine a(t(q)).
125*q**4
Let r(t) = 9*t - 36. Let q(v) = -9*v. What is q(r(z))?
-81*z + 324
Let y(z) = -15*z. Let n(t) = 6*t. What is y(n(l))?
-90*l
Let n(g) = g + 2*g**2 - g. Let t(k) be the first derivative of -3*k**2 + 8*k - 6. Let i(f) = -2*f + 3. Let z(q) = 8*i(q) - 3*t(q). What is n(z(b))?
8*b**2
Let w(o) = -372*o**2. Let a(n) = 8*n. What is w(a(b))?
-23808*b**2
Let i(a) = -28*a**2. Let t(n) = -31*n. What is i(t(h))?
-26908*h**2
Let l(o) = o - 22. Let h(a) = 2*a**2. Calculate l(h(n)).
2*n**2 - 22
Let g(n) = -62*n**2. Let y(b) = -b. Give g(y(l)).
-62*l**2
Let n(k) be the third derivative of k**6/180 + k**3/6 + 2*k**2. Let h(c) be the first derivative of n(c). Let z(w) = -w**2. Determine h(z(u)).
2*u**4
Let i(s) = s**2. Let g(l) = 3858*l. Calculate i(g(f)).
14884164*f**2
Let r(x) = 4*x - x - 2*x. Let h(g) = -g**2 - 1 + 1 - g**2. Determine h(r(b)).
-2*b**2
Let z(l) = 4*l**2 - 26*l. Let s(m) = -18*m. Calculate s(z(c)).
-72*c**2 + 468*c
Let h(f) = 21*f**2. Let j(o) = 2*o**2 + 100*o - 3*o**2 - 100*o. Give j(h(n)).
-441*n**4
Let w(b) = -484*b**2. Let n(c) = -3*c**2. Calculate n(w(j)).
-702768*j**4
Let i(t) = -15*t + 33. Let b = 70 - 37. Let l(w) = w - 2. Let f(q) = b*l(q) + 2*i(q). Let v(x) = -2*x**2. Determine v(f(a)).
-18*a**2
Let m(u) be the first derivative of u**2 + 1. Let d(r) = -r**2 + 5*r + 1 + 4 + 0 + 0. Let h(l) = -2*l - 2. Let w(p) = -2*d(p) - 5*h(p). What is m(w(i))?
4*i**2
Let g(u) = u**2. Let k(d) be the first derivative of -d**3/3 - 2. What is k(g(w))?
-w**4
Suppose 8 + 2 = -5*f. Let u(a) = -a. Let r(j) = 7*j. Let l(m) = f*r(m) - 10*u(m). Let t(p) = p**2. Calculate t(l(z)).
16*z**2
Let l(i) = 2*i**2. Let g(x) = x**2 - x - 2. Let a(z) = z**2 + z - 1. Let h(n) = 2*a(n) - g(n). Let c(m) = 4*m. Let v(k) = -3*c(k) + 4*h(k). What is l(v(y))?
32*y**4
Let b(o) = -o**2. Let r(x) = 6*x. Let n(q) = 17*q. Let m(u) = -4*n(u) + 11*r(u). Calculate b(m(c)).
-4*c**2
Let i(j) = -2*j**2. Let o(h) = -62*h + 184*h - 70*h - 79*h. Give o(i(r)).
54*r**2
Let g(c) = 2*c. Let b(o) = -15*o**2 + 25*o + 25. Let i(d) = -2*d**2 + 3*d + 3. Let z(j) = 3*b(j) - 25*i(j). Calculate g(z(p)).
10*p**2
Let x(y) = -162*y - 2 + 2 + 140*y. Let z(c) = -c**2. Give z(x(g)).
-484*g**2
Let x(v) = 10*v**2. Let i(j) = -3*j**2 - 4*j + 4. Let u(z) = 3*z**2 + 5*z - 5. Let b(k) = -5*i(k) - 4*u(k). Give x(b(a)).
90*a**4
Let u(t) = 25*t**2. Let o(w) = 10*w**2. What is o(u(n))?
6250*n**4
Let b(z) = -9*z. Let f(w) = 2*w. Let l(x) = 2*b(x) + 10*f(x). Let j(t) = -7*t. Calculate j(l(u)).
-14*u
Let o(x) = -4 + 2*x + 12 - 8. Let l(d) = 83 - 83 + 8*d. Calculate l(o(c)).
16*c
Let r(m) = -2*m**2. Let n(d) be the third derivative of d**7/840 + d**4/24 + 2*d**2. Let p(j) be the second derivative of n(j). What is p(r(t))?
12*t**4
Let r = 7 - 7. Let i be (2 - 2)/(-2 - r). Let d(c) = i + 0 + 2*c**2. Let q(g) = 4*g**2. Calculate q(d(z)).
16*z**4
Let x(m) = -2*m. Let s(b) be the third derivative of 0 - 2*b**2 + 0*b**3 + 0*b - 1/12*b**4. Calculate s(x(f)).
4*f
Let g = 6 + -2. Let q(v) = -v**2 - 6*v**2 + g*v**2 + 4*v**2. Let k(z) = -z**2. Determine k(q(x)).
-x**4
Let i(m) = 2*m**2. Let j(q) = 6*q - 2. Let p(n) = -19*n + 7. Suppose g + 6 = -0*f - f, 5*g - 4*f + 39 = 0. Let s(v) = g*j(v) - 2*p(v). Determine s(i(b)).
-8*b**2
Let d(r) be the second derivative of r**3/3 - 12*r. Let p(u) = 14*u**2. What is d(p(v))?
28*v**2
Let g(o) = -2*o**2. Let l(a) = a**2 + a - 19. Determine l(g(b)).
4*b**4 - 2*b**2 - 19
Let p(u) = -u**2. Let x(a) = -94*a**2. Calculate p(x(h)).
-8836*h**4
Let i(n) = 2*n**2 + 493. Let z(u) = -3*u. Give z(i(k)).
-6*k**2 - 1479
Let i = -6 - -1. Let o(f) = f**2 + 6*f + 7. Let q be o(i). Let n(c) = -4*c**2 - 4 + 3*c**q + 4. Let b(k) = -3*k**2. Give b(n(x)).
-3*x**4
Let g(x) = x**2. Let b(i) = 5*i**2 - 613*i. Calculate b(g(z)).
5*z**4 - 613*z**2
Let o(a) be the first derivative of a**3 + 16. Let r(n) be the second derivative of -n**3/3 - n. Determine r(o(h)).
-6*h**2
Let c(z) = -8*z. Let l(f) = -f**3 - 2*f**2 + 2*f - 1. Let r be l(-3). Let j(d) = -d - r*d + d. Determine c(j(y)).
16*y
Let y(z) be the third derivative of 0*z**3 + 0*z - z**2 + 0 + 1/24*z**4. Let t(p) be the third derivative of p**5/60 - p**2. Determine y(t(j)).
j**2
Let b(w) be the second derivative of -5*w**3/6 + 10*w. Let q(a) = 2*a. Give b(q(j)).
-10*j
Let s(r) = 94*r**2 - 3. Let m(a) = 2*a. Give m(s(l)).
188*l**2 - 6
Let g(x) = 4*x**2. Let n(k) be the third derivative of -4*k**5/15 - 19*k**2 - 1. Calculate g(n(q)).
1024*q**4
Let m(g) = 78*g. Let l(d) = 3*d**2. What is m(l(v))?
234*v**2
Let q(y) = -3*y**2 - 42. Let h(v) = -2*v**2. Give q(h(b)).
-12*b**4 - 42
Let m(c) be the second derivative of c**4/6 - 81*c. Let o(w) be the second derivative of -3*w**3/2 - w. Determine m(o(t)).
162*t**2
Let j(c) be the third derivative of c**7/2520 + c**4/12 - 2*c**2. Let v(t) be the second derivative of j(t). Let h(s) = 3*s. What is h(v(u))?
3*u**2
Let x(u) = 4*u. Let l(a) = -12*a**2 - 18*a**2 + 15*a**2 - 13*a**2. Give l(x(d)).
-448*d**2
Let z(y) = -2*y + 4*y - y. Let t = 9 - 9.
|
{
"pile_set_name": "DM Mathematics"
}
|
and c.
15
Suppose 3*x - 8 = 16. What is the greatest common divisor of 32 and x?
8
Suppose 0*u - 2*u = 3*z - 6, 3*u - 6 = -3*z. Let x = u - -2. Let l be (0 - -5) + 1 - x. Calculate the highest common divisor of 12 and l.
4
Let j = 7 + -3. Let b be 208/20 - j/10. What is the highest common divisor of 25 and b?
5
Let o = 25 - 6. Let k(a) = -2*a**2 + 6*a - 7. Let j be k(6). Let x = 195 + j. Calculate the highest common factor of x and o.
19
Let x(k) = -k**2 + 27*k - 19. Let r be x(20). What is the highest common divisor of r and 11?
11
Let y be -4*5/(-2) + -1. What is the greatest common divisor of y and 1?
1
Let i(j) = -5*j - 9. Let k be i(-4). Calculate the highest common divisor of 11 and k.
11
Suppose 65*k = 61*k + 64. What is the highest common divisor of 8 and k?
8
Let i(q) = 3*q**2 - 2*q + 5. Let d be i(4). Suppose -4*u - u + d = 0. Let s = 31 - u. What is the highest common divisor of s and 2?
2
Let b(t) = t**2 + 7*t - 14. Let w be b(-9). Let q = -3 + 5. Suppose q*u - 2*k = 76, -2*k - 1 = -5. What is the highest common factor of u and w?
4
Let b be 2/(-7) - 12/(-42). Let d be 11 + 2 + -2 + b. Let w = d + 4. Calculate the highest common factor of w and 10.
5
Let c = 7 + 24. Calculate the greatest common factor of 155 and c.
31
Let s(j) = -j**2 + 10*j - 8. Let b be s(8). Let t be -40*(-2 + 1 + -1). Suppose -z + 8 = z, l - t = -4*z. What is the greatest common divisor of b and l?
8
Suppose 2*q - 88 = -24. What is the greatest common divisor of q and 64?
32
Let n be 1*2/((-2)/7). Let i = n - -22. Let v be 5*((-18)/i)/(-1). What is the highest common factor of 6 and v?
6
Suppose 0 = t + 2*w - 40, 0 = -t - 5*w + 19 + 18. Let y = 4 + -1. Suppose -m + 40 = 2*m - f, -46 = -y*m - 2*f. What is the highest common divisor of t and m?
14
Let r(k) = k**2 - 14*k - 3. Let l be r(15). Calculate the highest common factor of l and 3.
3
Suppose -7 = -3*j + 2. Suppose 3*g = -j*v + 288, -3*g - 3*v = -6*g + 288. Suppose 36 = b + 2*b. Calculate the highest common factor of g and b.
12
Suppose 2*g = -0*g + 4. Calculate the greatest common factor of 18 and g.
2
Let o(k) = k**2 - 6*k - 1. Let f be o(7). Let m = f - 1. Let q = m + -2. Calculate the highest common factor of 24 and q.
3
Let a be 44*(3 - (-20)/(-8)). What is the greatest common divisor of 44 and a?
22
Let p be 2816/55 - 2/10. Let h = p - 30. Calculate the greatest common factor of h and 21.
21
Suppose 28 = 4*g + 4*t, 6 = 3*t - 5*t. Calculate the greatest common factor of g and 10.
10
Suppose -70 + 2 = -3*j + 4*k, 0 = -2*j + 2*k + 46. Calculate the greatest common divisor of j and 36.
12
Let f(r) = -3*r - 5. Let h be f(5). Let k = h - -34. Suppose -4*i + 232 = 2*u, 0 = 3*i - i + 5*u - 132. Calculate the greatest common factor of k and i.
14
Let u(m) = -22*m + 1. Let p be u(-1). Suppose p + 1 = -4*n. Let r be n*(-2)/8*4. Calculate the greatest common factor of r and 12.
6
Suppose 0*s + 29 = -3*j + 5*s, -4*j = -3*s + 24. Let p be 2 + 122 + j + 0. Calculate the highest common divisor of p and 11.
11
Let f(g) = -29*g**2 - 2*g - 1. Let q be f(-1). Let a = q + 68. Calculate the greatest common divisor of a and 100.
20
Let x = 10 - 8. What is the greatest common factor of x and 3?
1
Let k = 23 + -19. Suppose -2*o + 44 = 3*m, -o = -3*m + k*o + 37. What is the highest common divisor of 2 and m?
2
Suppose -t + 6 + 12 = 0. Let v = -14 + 23. Suppose -i + v - 3 = 0. What is the highest common factor of i and t?
6
Let z(w) = 7*w**2 + 1. Let k be z(1). What is the highest common divisor of 24 and k?
8
Let p be 9/((-45)/10)*-23. What is the greatest common factor of p and 230?
46
Suppose 0*f = f - 9. Let z be 1185/12 - (-1)/4. Calculate the greatest common factor of f and z.
9
Suppose -90 = -5*w - 4*q, 36 = -2*w + 4*w - q. Let z be (w - 2) + -1 + 1. What is the highest common factor of z and 8?
8
Suppose z = -i - 62 + 204, 4*z - 2*i - 580 = 0. Suppose 3*s - 102 = 114. Suppose g + 3*g - s = 0. Calculate the greatest common divisor of g and z.
18
Suppose 9 = d - 29. Let o = d + -27. What is the highest common divisor of o and 77?
11
Suppose -q - 2*q = -108. Suppose -4*y + 63 = -9. What is the greatest common divisor of q and y?
18
Let h(f) = -61*f**3 - 2*f**2 - 2*f - 1. Let o be h(-1). Let k(v) = 3*v + 10. Let u be k(10). Calculate the highest common factor of u and o.
20
Let a = 30 - 54. Let o = a - -25. Calculate the greatest common divisor of 5 and o.
1
Suppose 6 = -5*g - 4*w - 70, 2*g + 2*w = -32. Let t be -55*(g/15)/2. What is the highest common factor of 2 and t?
2
Suppose 0 = -0*x + 2*x - 28. Suppose -y + 2 = 0, 10 = -t + 2*t + 4*y. Calculate the highest common factor of x and t.
2
Let k = -73 - -90. What is the highest common factor of 119 and k?
17
Suppose 67 = 5*n + 7. Calculate the highest common factor of 3 and n.
3
Let g be (-2)/(-3)*12/8. Let u = -9 + 12. What is the highest common divisor of u and g?
1
Let i(s) = s**2 + 4*s - 3. Let m be i(-6). Calculate the greatest common factor of 63 and m.
9
Let z(b) = -b**3 + 13*b**2 - 11*b - 3. Let g be z(12). What is the highest common factor of g and 27?
9
Suppose -5 = -r + 4*v, 6*v - 10 = v. Suppose -3*y + r = 4. What is the greatest common factor of y and 30?
3
Let c(y) = -2*y. Let m = -5 + 6. Let b be c(m). Let i be -15*(8/6)/b. What is the greatest common divisor of 20 and i?
10
Suppose -5*x + 937 = 337. What is the greatest common factor of x and 15?
15
Suppose -g = -4*w - 27 - 25, -5*g + 140 = 4*w. What is the highest common factor of 8 and g?
8
Suppose 0 = -3*b - b + 5*n + 5, -n = b - 8. Suppose -3*z = -2*o + 18 - 102, 0 = b*z + o - 153. Calculate the greatest common factor of z and 75.
15
Suppose 0 = 5*y - 23 - 22. Let d = -1 + y. Let o(n) = n**2 - 9. Let t be o(-9). What is the highest common factor of d and t?
8
Let r(v) = 2*v + 11*v**2 - v + 8*v**2. Let p be r(-1). Let t = -3 + 5. What is the greatest common factor of t and p?
2
Let q be (-1197)/(-27)*(0 + 3). Calculate the greatest common factor of 19 and q.
19
Let g = 103 + -82. Suppose 3*x - 21 = -0*x - 4*q, -3 = x - 2*q. Calculate the highest common factor of g and x.
3
Suppose 4 = -2*x - 0. Let s be x/10 - (-102)/10. Calculate the highest common factor of s and 5.
5
Let u(p) = -p + 25. Let z be u(-8). Calculate the highest common factor of z and 3.
3
Let q(u) = u - 2. Let v be q(4). Suppose 0 = 3*z + v*z - 260. Calculate the greatest common factor of 13 and z.
13
Let m be (-35)/(-10) + (-6)/(-4). Suppose 40 = 4*d - 4*t, -m*t = 4*d + d - 50. Calculate the highest common factor of 110 and d.
10
Let h = -17 + 20. Calculate the greatest common divisor of h and 6.
3
Suppose -4*v + 32 = 2*u, 3*v - 5 - 9 = u. What is the greatest common divisor of v and 21?
3
Let z be (-6)/(-1) - 3/3. Let s(t) = -t + 10. Let j be s(5). Calculate the highest common factor of j and z.
5
Suppose 204 = 4*y + 28. Let r = y - 24. Calculate the highest common divisor of 40 and r.
20
Suppose -4*f + 305 = -0*f - 5*n, -4*f - 2*n = -326. Suppose -y = 3*y - 80. What is the greatest common divisor of f and y?
20
Let d = 5 - 2. What is the highest common factor of 15 and d?
3
Let d = 23 - 20. Calculate the greatest common divisor of 3 and d.
3
Let s(v) = -4 + 22*v**3 + 3 + 2*v + 0*v. Let w be s(1). What is the highest common divisor of w and 23?
23
Let m = 12 - 12. Suppose -3*v + 20 = 5, b - 3*v - 95 = m. Calculate the highest common divisor of b and 10.
10
Let s(w) = 3*w**3 - w**2 - 6*w + 2. Let o be s(4). What is the greatest common divisor of o and 22?
22
Suppose -3*y + y - 4*t = -10, t = 5*y - 25. Let p(n) = n**2 - 5*n + 3. Let j be p(y). Calculate the highest common factor of j and 9.
3
Suppose 3*s = 5*j + 69, -j = 4*s - 6*j - 87. Let u be 1/(-1) - (2 - s). What is the highest common factor of u and 165?
15
Suppose i - 1 - 2 = 0. Suppose x - 16 = -i. Let m = x + -2. Calculate the greatest common factor of 1 and m.
1
Suppose -10 - 60 = -h. What is the highest common divisor of 28 and h?
14
Suppose 3780 = 6*u + 12*u. Calculate the greatest common divisor of 84 and u.
42
Let f(z) be the third derivative of z**2 + 1/6*z**4 + z**3 - 3/20*z**5 + 1/120*z**6 + 0*z + 0. Let g be f(9). What is the greatest common divisor of g and 7?
7
Let j be 6/(1*-3) + 3. Let d = j - 0. Suppose -5 = -x + d. Calculate the highest common factor of 30 an
|
{
"pile_set_name": "DM Mathematics"
}
|
) to base 10
127852
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18d01a
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625122
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-303136
14440b (base 12) to base 10
339275
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-505404013
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-2312422432
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10110000000001001001
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-11335
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13441430
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2ba13b
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732506
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167110a
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3421040243
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6c4365
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45f39
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668934
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56754
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-1342301
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-3211311120
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-1110000100100101
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606e55
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-102210110021
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-10100202101000
36bef (base 16) to base 15
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677174
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1013112021
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2593158
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1475234
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-14368
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2039b3
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-11010111010011001011
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-100012103110
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624155
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28ff49
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2a20b
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7827
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603508
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83091
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230032222
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53515504
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275254
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5650584
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-3eb6d
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23013004
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6024284
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64287
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-8668
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-2004342333
-1121436 (base 7) to base 11
-96063
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-33367500
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-200757
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144663
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dce37
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100000001110010101
-82d85 (base 16) to base 6
-15253113
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267847
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101001122211
6aa30 (base 15) to base 9
567100
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603a
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13736442
7174387 (base 9) to base 11
2185294
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11302121
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1b79adc
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430050345
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154368
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-17b4067
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675a79
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-b9b1b
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21027
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443550 (base 9) to base 15
5381c
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17a31
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154fa
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-101001110001110010011010
2120102200221 (base 3) to base 14
2780a5
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5013315
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39945
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15c0dd
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1330032211
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87280
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49d3c3
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57618
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4147952
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110058
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c36080
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890351
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1858961
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57191
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-aad88
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-103111100
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-2d4237
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74389
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-110100111010101000011
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83855
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471071
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-100000101100101000
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-118751 (base 9
|
{
"pile_set_name": "DM Mathematics"
}
|
37/63. Solve -5*y - 4*h + 31 = -9, -i = 3*y - 5*h for y.
4
Let l = -4 - -16. Suppose 4*k - l = -4*p, -k - 3 = p - 2*k. Solve -2*q + 5*a - 24 = p, -14 = -q - 2*q - 5*a for q.
-2
Let a(f) = -f**3 + 7*f**2 - 5*f + 9. Let y be a(6). Let i(r) = -r + 14. Let w be i(12). Let k be 13/65 - w/10. Solve 5*p - 3*l = 4 + 5, k = 3*p - 5*l - y for p.
0
Let k be 2/(-6) - (-66)/9. Suppose 0*n = -2*n - 12. Let p(b) = -b**2 - 6*b + 4. Let c be p(n). Solve z = m - c, 2*z - 26 = m + k*z for m.
-1
Suppose 0 = -d - d + 26. Solve -2*x - 4*t - 16 = 0, -1 + d = -4*t for x.
-2
Let v = 34 + -18. Suppose 0 = -5*w - 2*y + 31, -w + v - 5 = 2*y. Suppose 4*h = w*h. Solve h = -x + 4*a + 7, 9*a + 8 = x + 4*a for x.
3
Let d(t) be the first derivative of t**3/3 - 4*t**2 + 12*t - 4. Let n be d(7). Solve 0 = 4*j + j - 10, -5*w - n = 5*j for w.
-3
Let t be 57/38*44/3. Solve 3*o - 8*o = -f - t, -3*o + 3 = -4*f for o.
5
Let f be (3 - -9)/2 - 1. Suppose 5*k = 2*z + 12, f*k - 6 = -z + 3. Solve -3*p = -2*x - 25, 3 + 2 = x + k*p for x.
-5
Suppose -2 = -2*g + g. Let a = 41 + -25. Suppose -44 - a = -4*x. Solve x = 5*k, g*b - k + 12 = k for b.
-3
Suppose 0 = 2*g - g + 6. Let r(p) = -2 + p - 2 - 2*p. Let n be r(g). Solve 0 = u - 0*u + n, 5*u = -4*m - 14 for m.
-1
Suppose 4*s - 6 = 2*s. Solve -5*f - 26 = i - 0*i, -3*f = -s*i + 12 for i.
-1
Let q be ((-3)/(-2))/((-3)/(-4)). Suppose 5 = -3*m + q*r, 3*m + r + 30 = -2*m. Let u be (-6)/m*60/18. Solve -5*l - 2*c = -6, -5*c + u*c + 3 = 4*l for l.
0
Let m be (10/25)/(1/5). Suppose m*u - 132 = -2*u. Solve -u = -d - 5*j - 12, 5*d = j + 1 for d.
1
Let g(w) = w**3 + w**2 + 2*w. Let z be g(0). Suppose 3*f - 5*f - 2 = 0. Let h = f - -5. Solve 9 = 3*d + h*x - 8, -2*x + 4 = z for d.
3
Let i = 3 + 1. Suppose s = -2*m + i*s + 13, 0 = -2*m + 5*s + 11. Solve m = 4*x + 4*v - 0*v, 10 = -5*v for x.
4
Let z(x) = x**2 - 2*x + 3. Let m be z(-3). Let b = 34 - m. Suppose 0*p = 2*p - 6. Solve w - 2*w = 3*c - b, -p*w - 22 = -5*c for w.
1
Let a = 22 + -22. Solve -3*s - 3*g - 21 = a, -5*g = s - 2*s + 11 for s.
-4
Suppose 0 = -5*n - 4*x + 22, -3 = 5*x + 7. Solve -4*m + 3 = -5*v - 16, 0 = -v + 3*m - n for v.
-3
Suppose 10 = 5*c - 0*c. Suppose 3*t = 2*t + 5, 3*z - 10 = -c*t. Solve 2*v = -z*f + 3*f - 10, 4*v + 20 = 0 for f.
0
Let t be (-8)/3*(-3)/1. Suppose -4*n + 5*n - t = 0. Let d = n - 4. Solve -d*j + 45 = -5*m, 2*j - 25 = -2*m + 5*m for m.
-5
Suppose o - 2*h = -4*o + 28, 5*h = 4*o - 36. Suppose 0 = o*y - 0*y. Suppose y = 2*r + 2*r - 8. Solve 5*d - 25 = -5*z, 6*d - 5*d - 10 = -r*z for z.
5
Suppose 0 = -4*g - 8 - 8, -5 = -5*i - 5*g. Suppose 3*v - 33 = v + 3*n, -n - 39 = -2*v. Solve -i*w + v = a, -w - 2 = -a - 11 for a.
-4
Suppose 0 = 3*g - 6*g + 42. Let l(j) = j**2 - 14*j + 4. Let w be l(g). Solve w*v = -4*s, -2*v + v = 4*s - 15 for s.
5
Let l = -126 + 130. Let o(a) = a**2 - 7*a + 4. Let x be o(7). Suppose c + 3*s = x, 4*c - 16 = -s - 3*s. Solve -2*t - 16 = -c*u - 6, l*u - t - 11 = 0 for u.
3
Let o be (16/(-24))/(1/(-3)). Solve -4*t = -4*s - 8, o*s + 8 = 4*t - 2 for s.
1
Suppose 0 = -4*f - 3*k + 7, -35 = -3*f + 3*k - 14. Solve 0 = -5*w - 3*j + 20, j = -f*w + 1 + 8 for w.
1
Let c = 2 + 0. Suppose 12 = c*y + y. Solve 0 = y*a + 3*b - 0*b - 1, 0 = -3*a + 3*b + 27 for a.
4
Let r be 0/((-4)/8*-4). Solve c + 5*y + 8 = -r*c, -3*c = y - 4 for c.
2
Let o be (4/10 + 0)*5. Suppose o*n - 2 - 8 = 0. Solve -n*j - s + 13 = 0, 4*j + 8 = 4*s + 4 for j.
2
Suppose 0 + 2 = o. Suppose -4*t + 2*a = -20, 12 + 0 = 2*t - 2*a. Let w = t - 3. Solve -1 = k + 2*c, -o*k + k + c = w for k.
-1
Let m(b) = 4*b**2. Let h be m(1). Solve -4*j + x + h = -9, 3*j + 3*x - 6 = 0 for j.
3
Suppose -2*j + 4*q = -24, -2*j - 4*q - 36 = -7*j. Solve 0 = -t - 0*t + 4*z, 0 = -j*t + 2*z + 14 for t.
4
Let t be (0 - 2)/(2/(-3)). Let p(s) = s**3 - 2*s**2 + 2*s - 2. Suppose -2*d + 10 = 3*d. Let w be p(d). Solve -t*j + 14 = g, -5*j + 23 = -w for g.
-1
Suppose -37 = -5*r + 83. Solve -s + 0*s - 4*l - 9 = 0, -3*s + 5*l + r = 0 for s.
3
Suppose 6*g = 23 + 37. Let y(d) = d**2 - d - 2. Let u be y(0). Let f(o) = -4*o - 1. Let j be f(u). Solve -3*q + 4*t = -g, j*q + 2*t = 3*q + 6 for q.
2
Let g = -7 - -11. Suppose a = -5*a + 252. Suppose 30 = 5*w + 2*x, -x = g*w - a + 15. Solve -6*l + l = -3*o - 8, -o = l - w for l.
4
Suppose -o = -3*w + 15, 16 = 3*w + 3*o - 11. Solve m - 3*f + w = 0, 2*m - 9 = -0*m - f for m.
3
Let b(d) = -d**2 - 7*d + 5. Let j be b(-7). Let t be (-528)/14 - (-2)/(-7). Let k = 60 + t. Solve 0*v + v - 10 = 3*z, 0 = 3*z + j*v + k for z.
-4
Let g = -3 + 6. Let q = -71 - -89. Solve -4*z + 18 = -0*z + u, 3*z + g*u = q for z.
4
Suppose -27 = -5*f - s, 2*s = -f + 5*f - 16. Suppose f*c - 3*c - 4 = 0. Solve -5*a - 5 = 2*u, -2*a + 0 = -2*u + c for a.
-1
Let x be 20*7/14*2/4. Solve n = -5*u + u - 11, -x*n + u = 13 for n.
-3
Let k be (-2 - (-26)/4)*2. Let t be (-2)/k - (-990)/81. Solve 4*m = -3*p - 12 + 34, 4*p = 5*m - t for m.
4
Let r be (-4)/(2 + 32/(-12)). Solve -3*d + 4*c + r = 8*c, 3*c - 11 = d for d.
-2
Suppose -2*n + n + 12 = 0. Let v(j) = j**2 - 12*j + 4. Let m be v(n). Solve 5*l - 4 = -2*p + m, -3*p + 4*l = -12 for p.
4
Suppose 5*g = 5*a - 35, -5*g = 2*a + 1 - 8. Suppose p + 1 = -a. Let o = 7 + p. Solve x = 3*t + 10, 0 = -3*t + 5*x - o - 2 for t.
-4
Suppose 0 = -2*h + t + 3, 0 = 2*h - 0*h + 4*t - 18. Let v = 17 + -4. Solve 5*r + q = v, h*r + 0*q + 4*q - 1 = 0 for r.
3
Let t = -139 + 143. Solve -22 = -4*f + 5*i, t*i - 2 + 1 = -3*f for f.
3
Let p(d) = -d**2 + 5*d - 5. Let t be p(5). Let g = t - -7. Suppose 11 = 2*l + 3. Solve -g*r + 7*c - l*c + 1 = 0, c = -1 for r.
-1
Let w(y) = -y**2 + 5*y + 1. Let r be w(4). Suppose -60 = -0*c - r*c. Let m be 6 - 3 - (-13 + -3). Solve 2*h = -3*d - m, -c = 4*h + d + 11 for h.
-5
Let v(t) = -t**3 + 7*t**2 + t - 3. Let z be v(7). Solve -2*p + 14 = -4*b, 0 = b + z*b + 2*p + 31 for b.
-5
Let w be (2/(-5))/((-5)/25). Solve -w*p + 10 = 0, 4*b - 4 + 29 = 5*p for b.
0
Let a = 45 + -44. Solve a = 5*l + 4*z + 6, -4*z + 3 = -3*l for l.
-1
Suppose 2*a = 4*t - 10, -1 = 4*t - 3*a - 12. Let q = 7 - 7. Let m = q + 3. Solve m*x = -t*r, -5*r + 9 = -0*x + 3*x for r.
3
Let p be (-6)/(-9) - 50/(-6). Suppose 0 = -3*y + p + 18. Solve 1 - y = -2*o - 3*u, 0 = -u + 4 for o.
-2
Suppose 2*s + 3*y - 12 = -s, 5*s - y - 20 = 0. Solve -2 = s*q - 5*b, -3*q + 0*q = 3*b - 12 for q.
2
Let k = 1 - -7. Solve w + k = 3*f, 0 = -2*w + 1 + 1 for f.
3
Let f be (-1)/(-4) - (-237)/12. Suppose 0 = -4*u - f, 0*u = 5*s + 5*u + 10. Solve -6*l + 4*w + 8 = -2*l, 0 = -5*l + s*w + 6 for l.
0
Let q be 0/(6/2) - -4. Suppose -v - v + q = 0. Let w be v/(-2*(-3)/15). Solve -4*h + 2 = w*i + 17, 0 = -4*h - 3*i - 17 for h.
-5
Suppose -m + 20 = -6*m, -3*m - 20 = -2*j. Let o(n) = 5*n + 3. Let u be o(j). Let k = -13 - -19. Solve l - 3*l + k = 2*a, -3*a + u = -4*l for l.
-2
Let c = -8 - -17. Let n = -29 - -42. Let o = 7 + n. Solve -a + 25 = 4*b - c*b, 4*b + a = -o for b.
-5
Let j(y) = -y**2 - 6*y + 3. Let p = 6 + -12. Let h be j(p). Solve -h = -3*f + 2*m + 10, 4*f - 3*m = 17 for f.
5
Suppose 5*x + 5*z - 23 = 2, 2*z - 10 = -4*x. Suppose x = -3*c - 2 + 8. Let f be c - -6 - (4 - 1). Solve f*h - 5 = 5*q, -q + 0 + 2 = -4*h for q.
-2
Let n(x) = x**2 + 9*x + 11. Let d be n(-8). Let v = -31 + 42. Solve 4*w - 3 + v = 0, 4 = d*q - 2*w for q.
0
Suppose r - 4*r - 69 = -2*i, -5*i = -15. Let w(s) = -2*s**3 - s**2 + 1. Let x be w(1). Let k be r/x + (-2)/4. Solve 25 = -4*q - 5*l, 2*q + 5*l + k = 3*l for q.
0
Let u(n) = -n + 8. Let q be u(7). Let d be q/3 + (-88)/(-6). Suppose -4*g = g - d. Solve -5*m + 20 = 5*i, -2*i - g*m + 7*m = -2 for i.
3
Let o be (-5)/20*(-13 + 1). Suppose 1 = n - o. Solve -c - 4*z + 6 = -1, n*c - 3*z + 29 = 0 for c.
-5
Let u be 1/((-5)/(-2) + -2). Solve 4*k = -j - 20, 0 = 2*j + k + u + 3 for j.
0
Let o = -113 - -115. Solve -b = 2*i + 2, -o*b - 1 = -0*b + 3*i for b.
4
Suppose 2 = 5*d + 7. Let k be ((-2)/1 + 0)*d. Suppose q + o = -6 + k, -20 = -3*q + 5*o. Solve 0 = -3*r + 5*j + 26, q = -2*r - j + 3*j + 12 for r.
2
Let i be 11*3/6*2. Solve 3*s = 2*c + c - 18, 2*c = s + i for c.
5
Let n be ((-5)/2 + 3)*8. Solve 4*j = 3*y + 8, n*j - y + 5*y - 8 = 0 for j.
2
Let v = -11 + 23. Let r(p) = p - 1. Let h be r(-5). Let j = v + h. Solve 2*s - 4*i = -18, 3*s - 2 - j = -i for s.
1
Let y(c) = c**2 - 8*c - 3. Let p be y(9). Suppose 2*m = p*m. Solve m = -4*w - 2*z
|
{
"pile_set_name": "DM Mathematics"
}
|
-1
6 + -1 + (-6 - -2) - -4
5
Calculate (1 - 4) + 2 + (9 - 7).
1
(11 - 23) + 0 + 7
-5
What is -2 + 2 + -2 + -3?
-5
0 + (-2 - 0 - -2)
0
What is the value of -1 + -2 - (-7 - (2 - 2))?
4
Evaluate 3 - ((-1 + 2 - 2) + 9).
-5
What is (1 - (0 - -3)) + 6?
4
What is 8 + (0 - 4) - (-5 + 9)?
0
Evaluate (-5 - (0 - 8)) + -4.
-1
What is (126 - 113) + -11 + -1?
1
Evaluate -8 + 5 + -4 - -7.
0
Calculate (-8 - (-12 - -9)) + 6.
1
Evaluate 2 - (-1 - (-5 - -4) - 3).
5
Evaluate (33 - 34) + (-1 - (0 + -4)).
2
Evaluate -2 + 11 + -3 - (-2 + 5).
3
What is the value of 3 - (-24 + 18 - (-2 + -1))?
6
Calculate -3 + (0 - -7) + -8.
-4
-2 + (5 - (1 + 1 - 1))
2
What is the value of 7 + 9 + -20 + 1?
-3
What is the value of -4 - (-1 - 2 - -3)?
-4
Evaluate (1 - 4) + (3 + 1 - -3).
4
Evaluate (-99 - -94) + 2 + 0.
-3
What is -6 - (2 + 0 - 6)?
-2
What is the value of -5 + 1 - -8 - 6?
-2
What is the value of 1 + -1 + 2 - (-4 + 6)?
0
-4 + 6 + -4 + 0 - 1
-3
-23 + 19 + -13 + 11
-6
What is (2 - 6 - 1) + 7?
2
-11 + (-6 - 0) + 13
-4
What is 1 + -5 - (-12 + 3)?
5
Evaluate 6 + -9 - (-8 + 2).
3
Evaluate -4 + 0 + -6 + 4 + 4.
-2
What is the value of 6 - (1 + (0 - -5))?
0
-10 + 12 - (1 + 0 - 0)
1
Evaluate 0 - (-1 - 3) - 0.
4
What is the value of -6 - (-3 - -3) - -3?
-3
What is (1 - (-2 - -5)) + 4?
2
Calculate 12 + (-4 - -4 - 14).
-2
Calculate 4 - (5 + -9 + 3).
5
What is -3 + (-2 - (4 + -2)) - -4?
-3
2 - 4 - (-6 + 1)
3
What is -3 + 2 - (-4 - -5) - -2?
0
What is (-2 - 0) + -1 + -1?
-4
What is the value of -16 + 15 + 1 + 0?
0
Calculate 25 + -23 - (4 - 1).
-1
What is the value of 8 + 0 + -8 + 0 - 6?
-6
Calculate (-14 - -7) + 8 + 2.
3
What is the value of 17 - 29 - (2 - 18)?
4
Evaluate -4 + 0 + -4 - -6.
-2
Calculate -21 - (-9 + 10 - 13).
-9
Calculate 9 - (2 + -8) - 8.
7
What is the value of 2 - (-5 + 13 - 18 - -5)?
7
Calculate 4 + -6 + (2 - 5).
-5
Evaluate 18 - 19 - (1 - 6) - 2.
2
Evaluate -9 - (-13 + 23 + -11).
-8
Calculate 4 + (-6 - (6 - 3 - 0)).
-5
Evaluate -4 + 5 + 2 + (-6 - 1).
-4
2 + -10 - (0 + -2 + -1)
-5
Calculate 17 + (-3 - (5 - (1 - 1))).
9
What is 3 + (-3 - (4 - 4))?
0
-4 - -4 - (8 - 9) - 6
-5
What is 7 + -6 + -9 + 2?
-6
Evaluate 16 + -13 - (1 - (0 - -2)).
4
Evaluate -19 + 10 + 9 + (-5 - -1).
-4
What is the value of -4 + 6 + (-2 - -2 - 5)?
-3
What is the value of -3 - (13 - 9 - 12)?
5
What is 2 + 2 + -2 + 1?
3
Calculate -6 + 0 + (2 - 0 - 6).
-10
What is the value of 5 - (15 + -3) - -2?
-5
-2 + 2 + (-6 - (-2 + -4))
0
-2 + (4 - (2 - -2)) + 7
5
Calculate 9 + -18 + (4 - 1) + 3.
-3
What is the value of (1 - -3) + -2 + -1?
1
(0 - -13) + -11 + 0
2
Calculate 34 - 32 - (-1 + (-3 - -2)).
4
What is the value of -2 + (9 - 0 - 4) + -11?
-8
Calculate 2 + (10 - 3 - 14).
-5
Evaluate 1 + -3 + 0 + 2 + 4.
4
Evaluate 0 - -1 - (2 - -2) - -7.
4
3 + -2 + -3 + -8 + 4
-6
What is 8 + 0 - (-2 + 3 + 2)?
5
-5 + 11 + 2 + -2 + -1
5
Evaluate 60 - 49 - (1 + 15).
-5
16 - (-4 - -13) - (1 + 3)
3
Calculate (-1 - 0) + 11 + -10.
0
Evaluate 0 + (0 - 6) + 7 + -3.
-2
What is the value of (0 - (-2 + 3)) + -1?
-2
What is the value of -3 + (12 - (-3 - -9))?
3
Evaluate 8 - (1 - -2) - 3.
2
What is (11 + 0 - -2) + -19?
-6
What is (10 - 14) + (0 - 1)?
-5
What is (7 - 13) + 1 + 3 - -3?
1
Calculate 1 + (-2 - (3 + -4 - 5)).
5
5 + -10 + (7 - (13 + -7))
-4
What is 4 - 15 - (-28 - -14)?
3
-2 + 0 + (1 + 6 - 5)
0
What is 11 - (-3 - (11 + -18))?
7
What is the value of -2 + (3 - 5) + 7 + -7?
-4
What is 6 + (9 - 8) - 11?
-4
What is 1 - (-1 + -3 + 5) - 1?
-1
2 + (-7 - -5 - 0) - -1
1
What is -1 - (2 - 4) - -1?
2
Evaluate -4 + (1 - -1) + 1.
-1
Calculate -5 - (-4 - 1 - -1).
-1
Evaluate 0 + (2 - -2) + -3 + -1.
0
Evaluate 6 - (6 - (-4 + 1)).
-3
What is the value of -3 + (-1 - -2) + -3?
-5
What is the value of -1 - (-6 - (-9 - -5))?
1
Calculate 2 + 6 + -3 - 4 - 6.
-5
Calculate -1 + (0 - (1 + 2)).
-4
What is the value of 5 + (8 + -7 - 2)?
4
(-9 - -22) + -10 + 1
4
What is the value of (2 - (-6 - -5)) + -8 - -15?
10
6 + 6 + -2 + -6 + 0
4
What is the value of -4 - (5 - (4 + 1))?
-4
What is the value of (-3 - (1 + -2)) + 6?
4
What is 1 + -2 - (-10 - -7)?
2
Calculate (6 + -2 - (6 - 4)) + -4.
-2
Calculate 6 - (2 + (-4 - -5)) - -1.
4
0 + 4 - -3 - (4 + -2)
5
What is -7 + -4 + (2 - (-2 + -1))?
-6
What is the value of 0 + 3 + -5 + -2?
-4
-3 - (-6 + 3 + (-8 - -3))
5
Evaluate 2 + -2 + -5 - -5.
0
Calculate (-13 - -10) + (-1 + 7 - 3).
0
What is the value of 2 + 2 + -2 + -7 + 10?
5
-3 - ((-4 - 4) + 1)
4
Calculate 0 + (2 + -3 - 2) + 1.
-2
What is the value of 13 + -4 + (5 - 8)?
6
Evaluate (41 - 46) + (-1 - 0).
-6
-2 - -11 - (-9 - (-23 + 9))
4
Calculate 3 - (4 - -3 - 4).
0
-1 - (2 + 0 - 1)
-2
What is the value of (3 - -1) + -3 + -1 + 5?
5
What is 9 + -7 + (7 - 6)?
3
-2 + 0 - (-2 - (-12 - -12))
0
Evaluate (10 + 0 - 4) + -5.
1
What is -4 - (-6 - (2 + -1))?
3
What is the value of 2 + -6 - (-4 + (-9 - -14))?
-5
What is 8 + 0 - (-46 - -52)?
2
-4 + (-3 - -7) + 4 - 6
-2
Evaluate (2 - 11) + 0 + 3 - -2.
-4
What is the value of -1 + (1 - 3 - -10) - 4?
3
(11 + -2 - -11) + -14
6
Calculate (-2 - -4) + -6 - (-1 + -12).
9
(4 - 9) + 0 - -6
1
What is -6 + 0 + (120 - 121)?
-7
Evaluate 5 - (7 - -6) - -18.
10
What is 7 + 10 + -14 - -2?
5
Calculate 8 + (3 - (7 - 9 - -6)).
7
Evaluate (3 + 0 - 11) + 5.
-3
-8 - (1 + -2 - 3)
-4
-2 + (0 + 0 - 3)
-5
Evaluate (10 - 1) + (15 - 21) - 4.
-1
What is the value of 10 + -4 + -9 - (-5 - 1)?
3
Calculate -2 + 1 + -1 - (2 + -4).
0
Evaluate 4 - ((1 - 3) + 0 - 0).
6
Evaluate (15 + -9 - 8) + 6.
4
Evaluate 7 + 2 - ((1 - 3) + 6).
5
What is -9 - (15 + -6 + -5) - -5?
-8
What is (5 - 7) + 1 - 4?
-5
What is the value of 1 + 1 - (4 - (16 + -13))?
1
Calculate 4 + -19 + 4 - -15.
4
What is -8 + 10 + (1 - 3) + 6?
6
(-13 - (-3 + -1)) + 2
-7
Calculate -8 - 1 - (16 - 20).
-5
What is the value of 1 + 1 + -5 - (-2 + -2)?
1
What is 1 - (3 + (-1 - -2) + 2)?
-5
Calculate -5 + 10 + -7 - 1.
-3
3 - ((7 - 7) + -2 + 2)
3
What is the value of 0 - (4 - 8 - (-4 - 0))?
0
Evaluate 6 - (0 + 8 + -8).
6
(-7 - (-9 - -3)) + 2
1
Evaluate 5 + -3 - 2 - 1.
-1
What is the value of -2 + (2 - -9) - (-8 - -12)?
5
What is 3 + (3 - (0 + 1))?
5
Calculate 4 - 1 - (3 - (-1 + 4)).
3
What is the value of 5 - (-1 + 3 + 1)?
2
(-20 - (-3 + -6)) + 8
-3
What is the value of 0 + -3 - ((-7 - -6) + -5)?
3
0 + -2 + (2 - 5) + 4
-1
What is 1 + 2 - (-4 + 2)?
5
Evaluate -5 + (5 - -1 - (20 - 18)).
-1
What is the value of (14 - 9 - 9) + 8?
4
0 - 4 - (-9 + (0 - -4))
1
What is 0 - (1 - 0) - (-11 + 6)?
4
What is the value of -21 + 20 + 1 + 1 - 6?
-5
What is the value of 11 - ((6 - 3) + 4 + -1)?
5
What is the value of 2 + -15 + 9 + (5 - -1)?
2
What is the value of 9 + -7 + -2 + 0 + -1?
-1
(7 + -4 - 16) + 7 + 4
-2
What is the value of -4 + -1 + 0 + 0 + 1?
-4
Calculate (4 - 11) + 6 + -5.
-6
What is the value of -3 + (8 - 4) - -2?
3
-2 + (-5 - -18) + -14
-3
Evaluate 10 + (14 - 33) + 1.
-8
2 + -2 + (2 - 5) + -1
-4
What is the value of (0 - (0 + 3) - -4) + 0?
1
Calculate 3 - 10 - ((-9 - -4) + 3).
-5
1 + 4 + (7 + -4 - 5)
3
What is the value of -3 - (1 - 0 - (0 - -4))?
0
(24 - 25) + -2 + 2
-1
What is -8 + 1 + -1 + -26 + 28?
-6
What is the value of -5 + 11 + -3 + (1 - 5)?
-1
What is the value of (-11 - -10) + -10 - -11?
0
What is (-4 - -5 - -5) + -4?
2
Evaluate -4 + -2 + -1 + 3 + 0.
-4
What is -60 + 61 + (-7 - 0) - -15?
9
What is (3 - 13) + (6 - (-8 - -11))?
-7
What is 5 + (-12 - -9 - (1 + -4))?
5
What is 2 + 2 + -11 - (-14 + 12)?
-5
0 - (3 - (2 - -3))
2
What is -1 + (0 - -1) + (0 - -3)?
3
Evaluate 4 + -5 + 2 - (13 + -12).
0
What is (-2 - -7) + (-4 - -3)?
4
What is -9 - 14 - -15 - (1 - 3)?
-6
Calculate 0 + -1 - (-9 + -2 + 5).
5
What is 3 - (10 - 10 - (2 - 5))?
0
What is the value of (-30 - -31) + (1 - 7)?
-5
1 + 5 - (-1 + 2) - 8
-3
Evaluate 4 + (2 - 10) - -2.
-2
1 - (-3 + -5 + 3)
6
Evaluate -1 + -2 - -4 - (-6 + 4).
3
What is the value of 5 - (5 + -3 + (1 - 2))?
4
What is 1 + (6 - (19 - 8))?
-4
Evaluate (17 - (1 + 10)) + -3.
3
What is the value of -2 + (6 - -3) - 7?
0
(-5 - -7 - -6) + 5 + -4
9
-1 + (-5 - -3 - -4) + 2
3
(5 - (-4 - -6)) + -8
-5
Calculate (0 - -15) + -15 + 0 + -4.
-4
Evaluate -2 + 4 + -1 + 0.
1
Calculate 5 + 0 + -6 + -5 + 8.
2
Calculate -3 + 1 - (27 + -25).
-4
What is the value of -1 + (7 - 2) + (2 - 2)?
4
Evaluate -2 - (-4 + 0 - (-7 - -6)).
1
Evaluate (11 - 2) + (-9 - -4).
4
4 + (0 - 5) - -4
3
Calculate 16 + -11 - 7 - (-
|
{
"pile_set_name": "DM Mathematics"
}
|
is 2 take away 50.965456?
-48.965456
Add 181.35436152 and 0.
181.35436152
What is -148 less than 0.278345?
148.278345
Subtract 10519.816 from -19.1.
-10538.916
Work out -44961168 - 0.07.
-44961168.07
What is 126231.9 minus 737?
125494.9
What is 0.2 less than 45.623592?
45.423592
Work out -107807703 - -0.1.
-107807702.9
Calculate 603963 + -10.
603953
Put together 9027308 and -0.02.
9027307.98
Subtract -0.4 from -4472.107.
-4471.707
Subtract -11384 from 772.96.
12156.96
Work out -35192573 - 780.
-35193353
Calculate -3.7162402 - -2.
-1.7162402
Calculate -147656012950 - 4.
-147656012954
What is 0.4 - -81934659?
81934659.4
-22860+285
-22575
-51.44172+107.8
56.35828
What is the distance between -5 and -2851.2294?
2846.2294
Put together 11.6461 and -7339.1.
-7327.4539
What is the distance between 848217 and -23.86?
848240.86
What is 755.129 take away -5.101?
760.23
Put together -0.68989882 and -0.4.
-1.08989882
What is -2 minus 1880222008?
-1880222010
Add -16.0691 and 1.7613.
-14.3078
-0.21 - 441833763
-441833763.21
What is -32.99 take away 5198.8?
-5231.79
Calculate 7706 - 341.96.
7364.04
48199 + -831
47368
Add -0.735 and -217768.
-217768.735
Calculate -19654130181 + -0.02.
-19654130181.02
Work out 8084953325 - 0.5.
8084953324.5
Add together -743364331 and 3.
-743364328
What is the distance between 10.82395 and -0.5?
11.32395
Add 0.42757 and -951.87.
-951.44243
Calculate 1.70575 + 33.15.
34.85575
What is 0.5 less than -689155.4?
-689155.9
What is -140976 minus 1068?
-142044
Put together 0.1649 and 1.26471.
1.42961
Calculate -308951908 - -5.
-308951903
Total of 0.8 and 4749855.
4749855.8
Subtract 0.05 from -6080398.
-6080398.05
Add -0.943 and -25850.
-25850.943
-20 + -277201
-277221
What is the difference between -0.06 and -0.1378213274?
0.0778213274
-0.1+-20910994
-20910994.1
4 - 2211180315
-2211180311
Put together 1228216 and 8.
1228224
Calculate 1.5 - -766061.7.
766063.2
What is -0.05 - -715952838?
715952837.95
What is -205371680 take away -4?
-205371676
Calculate 0.01 + -885366985.
-885366984.99
What is -0.076903 minus 0.045?
-0.121903
121.5087584 - 0.5
121.0087584
Work out -7830 - 94.591.
-7924.591
Work out -443190425 - -3.
-443190422
Work out -3639272 - 0.4.
-3639272.4
Work out -1212402 + -619.
-1213021
1.8837 + 11228
11229.8837
Sum 7678359 and -21.
7678338
Sum 1.77759 and 81.
82.77759
-170 - 3384645
-3384815
Total of 108.85 and 2.17.
111.02
Calculate 395449 - -2072.
397521
Subtract 0.5 from -512096129.
-512096129.5
510773 - 316
510457
Subtract 12926 from -0.0901.
-12926.0901
Add 9 and -11.900579.
-2.900579
-12.31 + 42084.6
42072.29
Add -13 and -4493153.
-4493166
-26+29539368
29539342
What is 0.5 - 37.673801?
-37.173801
What is -7.54 - -81.9?
74.36
What is 175726594 take away 2?
175726592
What is -80.35 less than -10697.64?
-10617.29
Work out 14779081 - -6.
14779087
What is 4 - 2.850482?
1.149518
Calculate -319.3 - 4.755.
-324.055
Work out 3 - 494748024.
-494748021
Subtract 17.6 from -858422696.
-858422713.6
Subtract 164800005 from -436.
-164800441
-76992 - -63.2
-76928.8
What is 241 take away 1179999?
-1179758
What is 1.1379 - 1928?
-1926.8621
What is the difference between -3.634 and 1077?
1080.634
What is -0.2 less than -5641925?
-5641924.8
Sum -0.06 and -181.631.
-181.691
What is -65.3 take away -0.053956?
-65.246044
What is 0.6 + -278806.242?
-278805.642
What is 3.55788 minus 0.2?
3.35788
What is the difference between -14617439.8 and 0?
14617439.8
Add -65607868403 and -0.1.
-65607868403.1
What is 3329 take away -4885092?
4888421
Sum -2150646 and 1.01.
-2150644.99
-0.21 + 1407509
1407508.79
Add together -3.7 and 57679.69.
57675.99
Calculate -16835620 - 127.
-16835747
Work out -1712.21 - -6722.
5009.79
Calculate 43220840 + -0.2.
43220839.8
Calculate -0.05 - 232359163.
-232359163.05
Work out -7 - -0.00452284631.
-6.99547715369
What is 2007 plus 51564?
53571
Work out -86354421 + -0.079.
-86354421.079
What is -0.0587130154 take away -1?
0.9412869846
Total of -132.4 and -2659.
-2791.4
What is 0.3 minus -147565.56129?
147565.86129
Sum 1045.3587 and -0.3.
1045.0587
What is 5 less than -89849278?
-89849283
Add together 3 and -32188473.
-32188470
-9.086088962 - -0.04
-9.046088962
Add together -3 and 0.1696134349.
-2.8303865651
399235 - -8
399243
What is 28.09169404 minus 0.4?
27.69169404
Put together 0.19390679 and 0.6.
0.79390679
What is the difference between -0.16 and 914836.544?
914836.704
What is the difference between 3388 and 23451.2?
20063.2
-14+1382744873
1382744859
What is -1267769 - -13?
-1267756
Work out -31 + -16.101972.
-47.101972
-24701552.5 + -0.5
-24701553
What is -895 plus 0.10168?
-894.89832
What is the distance between -0.7 and -579887.266?
579886.566
Add together -1171.64 and 3583.
2411.36
115934642 - 21.4
115934620.6
Calculate 9580 - 2743909.
-2734329
Total of -14754792 and 0.3.
-14754791.7
Add -15050 and -1237.914.
-16287.914
-256560 + -0.3016
-256560.3016
What is -15.9 + -11220?
-11235.9
Sum -3306 and 23346.
20040
What is -245.113 - 7.8?
-252.913
Work out -5694888 + 0.05.
-5694887.95
Add 0 and -43744.743.
-43744.743
Put together 3659 and 578.
4237
83960911+0.1
83960911.1
Total of -2.9 and 1851306.
1851303.1
What is 16775.6 - 22890?
-6114.4
What is -212208 - 775?
-212983
Put together 23842.8 and 85.67.
23928.47
Sum -3152.9092 and 87.
-3065.9092
Work out 817.5 + -3930.
-3112.5
20866843 + -0.2
20866842.8
What is -7361259 plus -17?
-7361276
Add 38602 and 468.
39070
What is the distance between -14615.6 and -156517?
141901.4
Subtract 389.2 from -11746.
-12135.2
What is -0.3 minus -249686383?
249686382.7
Subtract -0.2 from 288858.16.
288858.36
What is -148735 + 96.94?
-148638.06
Sum -0.42 and -81.1439.
-81.5639
Subtract 0.04969838 from -0.5.
-0.54969838
What is the difference between -335168 and -10226?
324942
What is the distance between -18255314 and 0.1?
18255314.1
Subtract 203.814 from 16454.
16250.186
What is the difference between -229514 and 0.185?
229514.185
What is the distance between -137 and -186156.43?
186019.43
What is -8965 + -532?
-9497
What is 930 - 8173541?
-8172611
What is -0.116946 plus 52498?
52497.883054
Calculate -147561598 - -0.3.
-147561597.7
-0.2+0.169430127
-0.030569873
What is -0.1195 less than 5037.9?
5038.0195
What is -0.288 + 46082?
46081.712
Add 0.3 and -5494005.
-5494004.7
Calculate 112311.98 + -0.1.
112311.88
Put together -2411843 and -234.
-2412077
Calculate 175022309 - -0.4.
175022309.4
Total of 2.42 and 201438.5.
201440.92
Add together 629 and 0.0795054.
629.0795054
What is 660 take away 456511?
-455851
What is -41 - -3806699.9?
3806658.9
What is -500.4338 take away -0.3?
-500.1338
What is -10791.71 less than -408?
10383.71
What is the distance between 1.02192 and 324834?
324832.97808
What is 0.094745 less than -0.1632?
-0.257945
Work out -182013 + 171.
-181842
What is the difference between -8072529 and 55?
8072584
Calculate -151.43 + -41559.
-41710.43
Work out 926 - 19106216.
-19105290
Add -107.3 and -1.63259.
-108.93259
Sum -0.3236002 and 21313.
21312.6763998
-86073.279 - 1
-86074.279
0.365558 - 51
-50.634442
Calculate -8.25 - 107967.
-107975.25
What is -29849.3283 take away 3?
-29852.3283
2731 - -727.04
3458.04
Calculate 116624583 - 7.
116624576
What is -0.1 take away -19.98191?
19.88191
0.1962+6663
6663.1962
What is -5 minus 4974901?
-4974906
Total of -0.3 and -226927.
-226927.3
Add -369454 and -1919.
-371373
Put together 71317 and -0.72529.
71316.27471
-228940836+-0.2
-228940836.2
Subtract 1491.9107 from 0.4.
-1491.5107
Sum -80 and 373920.5.
373840.5
What is -10.25172617 less than -2?
8.25172617
Work out 10.12087238 - -5.
15.12087238
Subtract 6512 from -171.
-6683
What is 206.4 less than -100105.57?
-100311.97
What is -44.796 less than 28296?
28340.796
-1018797569 - -0.3
-1018797568.7
What is the distance between -11 and -126241.2?
126230.2
Put together 0.17 and -428708.1.
-428707.93
Calculate -0.037 - 2496622.
-2496622.037
What is 5.2118 take away -2564?
2569.2118
Work out 0.1 + -134529190.
-134529189.9
What is the distance between -1 and -737785801?
737785800
2.207319+4.2
6.407319
What is -51.26 take away 1.249?
-52.509
Put together -0.717 and 1619.81.
1619.093
160231 + 38782
199013
What is -0.94 less than -961069?
-961068.06
What is 1662 take away -556836?
558498
What is -0.4 + -0
|
{
"pile_set_name": "DM Mathematics"
}
|
x(p) = -5*p - 2. Suppose -29*o + 34*o = 25. Suppose -o*t - 6 = -1. Determine t*x(v) + 2*k(v).
5*v
Let w(o) = o + 2. Let z = -162 - -167. Let c(m) = -2*m - 3. Let x(v) = z*w(v) + 3*c(v). Let y(t) = -9*t + 4. Give -6*x(l) + y(l).
-3*l - 2
Let t(h) = -73*h**2 - 8*h + 25. Let n(u) = 25*u**2 + 3*u - 9. What is 8*n(v) + 3*t(v)?
-19*v**2 + 3
Let u = 364 + -371. Let l(i) = 2*i**3 - 3*i**2 + 5*i. Let o(c) = 3*c**3 - 4*c**2 + 7*c. Give u*l(p) + 5*o(p).
p**3 + p**2
Let o(h) = 3204432*h**3 + 44982*h**2. Let u(r) = 2137*r**3 + 30*r**2. Give 5*o(x) - 7497*u(x).
1071*x**3
Let v(w) = -29*w - 20. Let y be 5856/(-336) + 3 + 54/(-21). Let r(q) = 10*q + 7. Give y*r(o) - 6*v(o).
4*o + 1
Let g(h) = -h**3 - h**2 - 5*h - 3. Let j(v) be the third derivative of v**6/120 + v**4/12 + v**3/6 - 43*v**2. What is 2*g(x) + 5*j(x)?
3*x**3 - 2*x**2 - 1
Let u(v) = -2 + 3 + 0. Suppose 5*m + 0*m - 5 = 0. Let s be (-3 - -1)*m/(-2). Let n(k) = k + 7. Calculate s*n(y) - 5*u(y).
y + 2
Let f(y) = y**3 - 4*y - 11. Let a(q) = -5. Let z(s) = 6. Let m(c) = -5*a(c) - 4*z(c). What is 2*f(n) + 22*m(n)?
2*n**3 - 8*n
Let t(w) be the third derivative of w**6/120 + w**5/60 - w**4/24 + 23*w**2 - 5*w. Let l(a) = 12*a**3 - 6*a**2 + 6*a. Give l(j) + 6*t(j).
18*j**3
Let j(n) = -n**3 - 2*n**2 + 6*n + 4. Let a(q) = q**3 + 2*q**2 - 7*q - 5. Determine 3*a(w) + 4*j(w).
-w**3 - 2*w**2 + 3*w + 1
Let v(g) = g**2 + 4*g + 1. Suppose 3*i - 18 = 3*k + 2*i, k - 4*i + 6 = 0. Let x(w) = -w**2 - 3*w - 1. Determine k*v(r) - 7*x(r).
r**2 - 3*r + 1
Let n(b) = 3*b**2 + b - 8. Suppose 46*y = 50*y - 3*a + 10, 4*y - 4*a = -12. Let r(h) = h**2 - 1. Give y*n(w) + 6*r(w).
3*w**2 - w + 2
Let p(z) = -52*z**2 - 3*z - 2. Let r(b) = 50*b**2 + 2*b + 1. Give -2*p(j) - 3*r(j).
-46*j**2 + 1
Let a(z) = 2*z**3 - 3*z**2 + 3*z - 3. Let b = 8 - 11. Suppose 8*u = 3*u + 5. Let d(x) = x - x**2 - 6*x + 4*x + x**3 - 1 + 2*x. Determine b*d(w) + u*a(w).
-w**3
Let j(w) be the third derivative of -3*w**5/10 - 3*w**4/8 - 2*w**2 + 1. Let d(t) = 9*t**2 + 4*t. Calculate -9*d(q) - 4*j(q).
-9*q**2
Let j(q) = -16*q**2 - 15*q + 7. Let r(x) = 2*x**2 + x - 1. Determine j(h) + 6*r(h).
-4*h**2 - 9*h + 1
Let z(o) = -o**3 - 4*o**2. Let u(m) = 3 + 3*m**2 + m**3 - 1323*m - 3 + 1323*m. Determine 6*u(c) + 5*z(c).
c**3 - 2*c**2
Let r(o) = -6*o**2 + 16*o + 17. Let h(s) = -2*s**2 + 5*s + 6. Suppose -2*w = -9*i + 4*i + 40, i = -4*w - 14. Calculate i*r(b) - 17*h(b).
-2*b**2 + 11*b
Let x = -37 + 43. Let m(r) = -r - 5*r - r + x*r. Let n(y) = -2*y**2 + 5*y. Let i(p) = 4*p**2 - p. Let j be i(1). Determine j*m(w) + n(w).
-2*w**2 + 2*w
Let g(c) = 30*c - 86*c + 21*c + 17*c + 5 + 19*c. Suppose -j - 3*j = 28. Let b(x) = -3*x - 16. What is j*g(l) - 2*b(l)?
-l - 3
Let b(s) = -s**3 + 14*s**2 + 20*s - 77. Let u be b(15). Let m(p) = 4. Let y(l) = l - 4. Calculate u*y(q) - 3*m(q).
-2*q - 4
Let t(m) = 22*m**2 + 22*m - 10. Let p be ((-12)/(-9))/(((-21)/(-27))/(-7)). Let x(a) = 9*a**2 + 9*a - 4. Calculate p*x(k) + 5*t(k).
2*k**2 + 2*k - 2
Let i(w) = w. Let a(q) = -2. Let t = 1066 + -1064. Calculate t*i(y) - a(y).
2*y + 2
Suppose -t + 2*t = -6. Let g(k) = 2*k**2 - 2*k. Let a(j) be the second derivative of -2*j + 0*j**2 - 1/3*j**3 + 1/6*j**4 + 8. Calculate t*g(x) + 5*a(x).
-2*x**2 + 2*x
Let q(a) = -16*a + 7. Let c(z) = -z - 2. Give -3*c(l) - q(l).
19*l - 1
Let t(v) = 5*v**2 - 6*v - 6. Let x(z) = 5 + z - 5 - z**2 + 3 - 2. Calculate t(c) + 6*x(c).
-c**2
Let h(p) = 8*p**2 - 24*p - 814. Let b(d) = -2*d**2 + 7*d + 271. Calculate 7*b(r) + 2*h(r).
2*r**2 + r + 269
Let b(x) = -10*x**2 + 4*x - 5. Let i(d) = -8*d**2 + 5*d - 2. Let y(s) = -9*s**2 + 6*s - 2. Let q(f) = -4*i(f) + 3*y(f). What is 2*b(t) + 5*q(t)?
5*t**2 - 2*t
Let l(o) = -11*o**3 + 4. Let x be (8 - 2/1) + (-55)/11. Let z(s) = 1. What is x*l(k) - 4*z(k)?
-11*k**3
Let n(w) = 10*w + 21. Let q(j) = j - 1. Calculate -n(i) - 2*q(i).
-12*i - 19
Let o(t) = t + 6. Let d(p) = 6*p + 42. Give -2*d(f) + 15*o(f).
3*f + 6
Let f(y) = 6*y**3 - 11*y**2 + 3*y - 8. Let d(z) = -2*z**3 + 4*z**2 - z + 3. Let j(r) = r**2 + 25*r + 76. Let p be j(-21). What is p*d(s) - 3*f(s)?
-2*s**3 + s**2 - s
Let v(n) = -3*n - 5. Suppose -8 = -44*p + 43*p. Let m(o) = -5*o - 7. Give p*v(f) - 5*m(f).
f - 5
Let q(x) = -631*x + 5. Let r(i) = -631*i + 4. Calculate -6*q(k) + 7*r(k).
-631*k - 2
Let m(h) = 6*h**2 + 2*h + 3. Let j(l) = 13*l**2 + 4*l + 7. Suppose -5*y - 3*x = -3*y + 64, 2*y = 5*x - 48. Let f = 25 + y. Calculate f*j(p) + 9*m(p).
2*p**2 + 2*p - 1
Let r(x) = -3*x**3 + 4*x**2 - 3*x + 18. Let t(m) = m**2 - m + 1. Determine r(s) - 2*t(s).
-3*s**3 + 2*s**2 - s + 16
Let t(r) = 2*r**3. Let x(q) = -2*q**3. Let w(p) = p**3 - 6*p**2 + 6*p. Let y(g) = 3*g**2 + 6*g + 5. Let z be y(-2). Let c be w(z). Calculate c*t(d) + 4*x(d).
2*d**3
Let k(s) be the second derivative of 0 + 1/3*s**3 - 3*s**2 + 16*s. Let h(t) = -3*t + 7. Give -4*h(a) - 5*k(a).
2*a + 2
Let q(b) = -4*b**2 + 3*b + 23. Let c(o) = 9*o**2 - 5*o - 44. Determine -3*c(a) - 5*q(a).
-7*a**2 + 17
Let q(g) = 3*g**3 - 186*g**2 - 5*g - 5. Let a(i) = -5*i**3 + 279*i**2 + 8*i + 8. Give -5*a(c) - 8*q(c).
c**3 + 93*c**2
Let m(b) = 77*b. Let z(j) = -3312*j. Give 128*m(r) + 3*z(r).
-80*r
Let i(q) = 2*q - 146. Let c(x) = x - 72. Determine -11*c(p) + 6*i(p).
p - 84
Let m(h) = -6*h**3 + 2*h**2 - 2. Let q(u) = -1 + 0 - 4*u**2 + 4 + 2*u**2 - u**2 + 7*u**3. Calculate 6*m(s) + 4*q(s).
-8*s**3
Let g(x) = -62*x + 1. Let a(f) = -f. Calculate 2*a(z) + g(z).
-64*z + 1
Let c = -155 + 161. Suppose -f + 3 + 4 = 4*r, -3*r - 3*f = c. Let a(y) = y - 2. Let t(z) = -z**2 - z + 2. Determine r*a(b) + 2*t(b).
-2*b**2 + b - 2
Let u(z) = -15*z**3 - 3*z**2 - 3*z + 19. Let n(a) = 30*a**3 + 5*a**2 + 6*a - 34. Determine -3*n(g) - 5*u(g).
-15*g**3 - 3*g + 7
Suppose 21*w = 22*w - 3. Let p(o) = 8*o - 3. Let l(v) = 15*v - 5. Give w*l(t) - 5*p(t).
5*t
Let v(x) = -x**2 - 2*x + 6. Let l(w) be the second derivative of -w**4/12 - w**3/6 + w**2/2 - 2*w - 97. Determine 2*l(r) - v(r).
-r**2 - 4
Let j(s) = -1. Let h(n) be the first derivative of -n**5/60 - n**4/12 - 7*n**3/6 + 30*n**2 - 23. Let x(q) be the second derivative of h(q). Give -5*j(t) + x(t).
-t**2 - 2*t - 2
Let n(a) = 9*a**3 - 2*a**2 + 2*a + 3. Let k(l) = 217*l**3 - 49*l**2 + 49*l + 70. What is -2*k(t) + 49*n(t)?
7*t**3 + 7
Let u(d) = -5*d - 3. Suppose j - 5*o = 29 - 32, 5*o + 6 = -2*j. Let y(w) = 4*w + 4. Give j*y(b) - 4*u(b).
8*b
Let x(i) = 747183*i**2 + 4735*i + 9470. Let u(g) = 947*g**2 + 6*g + 12. What is -4735*u(f) + 6*x(f)?
-947*f**2
Let x(s) = s**2 - 2*s + 5. Let u(c) = 5*c**2 - 11*c + 25. Let h = -140 - -49. Let r = h - -89. Calculate r*u(n) + 11*x(n).
n**2 + 5
Let f(d) = -d**3 + d**2 + d + 1. Let w(j) = -4*j**3 + 6*j**2 + 6*j + 6. Give -6*f(a) + w(a).
2*a**3
Let m(t) = -t**2 + t - 3. Let p(d) = d**3 + 8*d**2 + 17*d + 7. Let b be p(-4). Let k(l) = -l**2 - 2. What is b*m(j) - 4*k(j)?
j**2 + 3*j - 1
Let b(y) = y**2 + 5. Let p = 12 - 10. Let s(l) = -5*l + l + 3*l + p + 7. Let k be s(5). Let v(w) = -w**2 - 4. Determine k*b(n) + 5*v(n).
-n**2
Let u(g) = g - 1. Let s(m) = 2*m**2 + 4*m - 6. Let b be 2 + 25 + (1 - 1). Let d = b - 26. Calculate d*s(a) - 5*u(a).
2*a**2 - a - 1
Let s = 153 + -149. Let q(i) = -i + 2. Let o(w) = -w + 2. What is s*o(c) - 5*q(c)?
c - 2
Let r(q) = 23*q**2 - 4*q - 1. Let m(l) = 22*l**2 - 3*l + 1. Give -3*m(f) + 2*r(f).
-20*f**2 + f - 5
Let m(f) = 29*f**2 + 33*f + 15. Let g(v) = 15*v**2 + 18*v + 8. Calculate -11*g(u) + 6*m(u).
9*u**2 + 2
Let f(p) = -8*p**2 + 4*p + 12. Let s(a) = 7*a**2 - 3*a - 10. Determine -6*f(d) - 7*s(d).
-d**2 - 3*d - 2
Let g(u) = 6*u**3 - u**2 + 2*u - 4. Let p(a) = -16*a**3 - a**2 - 5*a + 12. Let y(r) = -r**3 - r**2 + 1. Let s(x) = -p(x) + 3*y(x). Give 5*g(j) - 2*s(j).
4*j**3 - j**2 - 2
Let z(b) = 66*b - 18. Let r(t) = 99*t - 27. Determine -5*r(c) + 8*z(c).
33*c - 9
Let s(c) = -4*c**2 - 5*c + 7. Let k be 18/((-4)/(-6)*-3). Let a = -14 - k. Let y(b) = b**2 + b - 1. Calculate a*y(z) - s(z).
-z**2 - 2
Let j(s) = -4*s - 3. Suppose 2*k + 3 = -11. Let o(f) = f**3 + 5*f**2 - f - 2. Let b be o(-5). Let u(l) = -9*l - 6. Determine b*u(r) + k*j(r).
r + 3
Let a(w) = 1245*w + 2. Let r(s) = 135707*s + 219. What is -219*a(d) + 2*r(d)?
-1241*d
Let m(u) = -3*u - 3. Suppose 0 = -6*i + 36 + 18. Let t be -9*1*28/(-42). Suppose i*c - t = 12*c. Let h(k) = 16*k + 16. Calculate c*h(f) - 11*m(
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + -1.6. Let m = 0 - s. Let w be (-8)/(-13)*1/4. What is the biggest value in w, -1, m?
w
Let y = 29.1 + -29. Which is the second smallest value? (a) y (b) 0.2 (c) 10
b
Let l be (2 + -1)*6/4. Suppose 11 = 8*h - 11*h + 4*j, 21 = -5*h + 4*j. Which is the smallest value? (a) h (b) -3 (c) l
a
Let j be 2/(-15) + (-1)/(-3). Let p = -0.57 - -0.6. Let k = p + 0.37. Which is the third biggest value? (a) k (b) j (c) -1/4
c
Let m = -9 - 2. Let d = m - -11.1. Which is the second smallest value? (a) -0.5 (b) 6/7 (c) d
c
Let q = 1/47 - -38/423. What is the biggest value in q, -2, -0.2, -0.4?
q
Let t = 2/7 - 0. Which is the third smallest value? (a) t (b) 0.051 (c) 2/13
a
Let n = -196 - -1370/7. Which is the third smallest value? (a) n (b) 2 (c) -1
b
Let n be 1*-3*(16/12 + -2). Which is the third biggest value? (a) -1 (b) n (c) -0.5 (d) 2/7
c
Let f = 42.5 - 43. Which is the biggest value? (a) -1/5 (b) 2/11 (c) f
b
Suppose -4*l - r = 14, 0*l + 3*r + 3 = l. Let d be (-24)/l - (2 - 0). Let w = d + -5. What is the smallest value in 5, -2, w?
-2
Let i be -1 + 3 - (-246)/15. Let q = i - 353/20. Which is the second smallest value? (a) -1/2 (b) q (c) -5/4
a
Let q = 0.26 - -0.04. What is the smallest value in 5, 3, q?
q
Let w = 0.186 - -0.214. Let x = -26/15 - -2/5. Which is the second biggest value? (a) -1 (b) w (c) x
a
Let d(x) = -x**3 - 4*x**2 + x - 4. Let u be d(-4). Let s = u + 12. Which is the biggest value? (a) 0.5 (b) 0 (c) s
c
Suppose 2*k + 2 - 10 = 0. Let g = k - 9. Let o = 0.2 + -0.4. Which is the biggest value? (a) -4 (b) o (c) g
b
Let v = 6 + -5.6. Let j be ((-2)/((-2)/(-2)))/(-1). Suppose 4 = j*t - 2. Which is the biggest value? (a) v (b) 0 (c) t
c
Let z = -26 + 17. Which is the second smallest value? (a) z (b) 2 (c) -2/3 (d) 5
c
Let y = 74 + -73.8. Which is the fourth smallest value? (a) 4 (b) 14/5 (c) y (d) -3
a
Suppose -y - 5 = -5*i - 0, -y = 3*i + 5. Which is the second smallest value? (a) 5 (b) 2 (c) -1 (d) y
c
Let x = -140 + 2394/17. Let j = x + -36/85. What is the third smallest value in j, -2, 4?
4
Let z = -58 + 58.3. What is the fourth smallest value in -1, 14, z, -4?
14
Let t = -0.7 - 1.3. Which is the biggest value? (a) -1 (b) -0.08 (c) t
b
Let x = 51 + -1017/20. Which is the second biggest value? (a) x (b) 1 (c) 1/4
c
Let x be (-17)/(1 - -2 - -11). Let n = x - -3/2. What is the smallest value in n, -0.3, 2?
-0.3
Let g = -127 - -1141/9. Let w(j) = j - 7. Let v be w(5). Let i be v/8*(-8)/5. Which is the second smallest value? (a) 2/7 (b) i (c) g
a
Let n = 63 - 58. Which is the second biggest value? (a) n (b) 0 (c) 0.02
c
Let d = 1.6 + -1. Let c = d - 0.1. What is the third biggest value in -0.3, c, 2/5?
-0.3
Suppose y = -5*d - 5, -40 = 4*d - 5*y - 7. Which is the second smallest value? (a) 5 (b) d (c) 0
c
Let s(f) = -f**3 - 3*f**2 + 3*f - 2. Let c be s(-4). Suppose -m = -c*m. Let h = 4 - 3. What is the second smallest value in m, h, -3/5?
m
Let s = -0.08 - -0.48. Let m = 5 + -7. What is the smallest value in -3, s, m?
-3
Let z = -0.3 + -3.7. Which is the second biggest value? (a) z (b) 2 (c) 0.4
c
Let l = 9 - 6. Which is the biggest value? (a) -4 (b) l (c) -2/9
b
Let v be 3/10*12/45. Which is the second smallest value? (a) v (b) 0 (c) 3/4
a
Let u = 6 - 11. Let a = 18 + -20. What is the smallest value in u, 4, a?
u
Let t = -10 - -9.96. Let u = 3.04 + t. Which is the second smallest value? (a) -2/17 (b) -1/4 (c) u
a
Let f = -2 - -1.6. Let d = 1.3 + -1.6. What is the smallest value in d, 5, f?
f
Let z(i) = -5*i**2 - i - 1. Let t be z(-1). Let r = -10 - t. Which is the second biggest value? (a) r (b) 1/5 (c) -1
c
Let v = 3 - 4. Let m = v + 1.03. What is the second biggest value in -2, m, -1/5?
-1/5
Suppose 105 = -5*v + 110. Which is the third smallest value? (a) v (b) 0.2 (c) -1
a
Suppose -2*l = 3*l. Suppose -2*g + 7*g - 10 = l. Let n = 127/12 + -31/3. What is the third smallest value in n, g, -3?
g
Let y = 0.74 - -2.26. Which is the third smallest value? (a) y (b) -1 (c) 0.4
a
Let s = 11.3 - 1.3. Let t = -9.9 + s. Which is the smallest value? (a) 5 (b) t (c) 0.4
b
Let o be 24/(-4734)*(-2)/(-4). Let j = -4712/8679 + o. Which is the third smallest value? (a) j (b) -1 (c) 0.3
c
Let t = -23 + 27. Let g = -7 - -4. Which is the second biggest value? (a) g (b) t (c) 2/7
c
Let c = -0.47 - 20.53. Let a = 21 + c. What is the third smallest value in a, 1/8, -1?
1/8
Let a be (-4)/14 - 30/42. What is the third smallest value in 5/2, -5, a?
5/2
Let m = 29.6 - 30. Which is the second smallest value? (a) -0.05 (b) m (c) 0.5
a
Suppose 6 = -3*d - 9. What is the third biggest value in 0.5, 0.4, d?
d
Let u(l) = -l**2 - 7*l - 1. Let t be u(-6). Which is the third biggest value? (a) t (b) -3/5 (c) 2/7
b
Let a = 7.6 - 7.4. What is the fourth biggest value in -2/5, a, -0.1, -3?
-3
Let h(s) = -s**3 - 8*s**2 - 7. Let w be h(-8). Let j be w*-2*2/4. Let o be (j/63)/(2/12). Which is the second biggest value? (a) 0.5 (b) o (c) 1/7
a
Let o = -7.9 + 9. Let q = 1 - o. Suppose -3*s + 4*j = 2*s + 8, 0 = s + 5*j - 10. Which is the third biggest value? (a) s (b) -0.3 (c) q
b
Let l = 2/15 + -4/5. Let r = 54 - 49. What is the second biggest value in 8, l, r?
r
Let a = 38 - 42. Let m be (-4)/(-14)*(-5)/10. What is the second smallest value in m, 0.1, a?
m
Let p = -32 + 34. Let q be ((-4)/6)/(1 - -1). Which is the smallest value? (a) p (b) q (c) 1/2
b
Let l be 17/(-17) - 4/6. Which is the second biggest value? (a) l (b) -3/7 (c) 0.5
b
Let a = -7.75 + 10.7. Let l = a + 0.05. Let h = -142 - -571/4. What is the third smallest value in -0.4, l, h?
l
Let h = 9 + -6. Let x = h - 3.5. What is the second smallest value in -2, x, -2/3?
-2/3
Let i = -4 - 1. Let u = -54 + 217/4. Which is the biggest value? (a) u (b) i (c) 1
c
Let v = 10.04 - 10. Let x = 0.54 - v. Which is the biggest value? (a) 0 (b) -2/7 (c) x
c
Let i(z) = -z**3 + z - 4. Let y be i(0). Let m = 0 - 0.2. Which is the third smallest value? (a) y (b) m (c) -1/3
b
Let y = 3.7 - 4. Let g = y - 0.7. Let f = -0.5 - g. Which is the second smallest value? (a) -2 (b) 0.1 (c) f
b
Let b = -0.03 + 4.03. Let u = -2 - 3. What is the third smallest value in -2/7, b, u?
b
Let s = -0.138 + 2.138. What is the third smallest value in -8, -1/2, s?
s
Let t(l) = 2*l. Let i be t(2). Let j be (-12)/28*7/i. What is the third smallest value in -5, 3/8, j?
3/8
Let t be 5*5/(375/6). Let r = -3 + 4. Let y = -0.7 + r. What is the smallest value in y, t, 2?
y
Let r = -0.52 + 0.92. Which is the third biggest value? (a) 5 (b) r (c) -1/8 (d) -4
c
Let m(i) be the second derivative of -i**4/12 + 5*i**3/6 + i**2/2 - 2*i. Let j be m(4). Which is the second biggest value? (a) 1/3 (b) j (c) 3
c
Let z = 1.5 - 1.1. Suppose 2*i - 6*i - 4*o - 4 = 0, -4*o = -5*i - 32. Which is the third biggest value? (a) z (b) -1/4 (c) i
c
Let s = 0.03 - -0.02. Let i = -5.05 + s. Let w = -3 + 2.9. What is the second biggest value in i, w, -3?
-3
Let z = 6 + -4. Let m be 0 - ((-4)/6)/(-2). What is the second smallest value in m, z, -2?
m
Let t be 1/((-3)/18*2). Let h = -0.3 - -0.6. Which is the third smallest value? (a) h (b) -2 (c) t
a
Let i = -0.4 - -0.2. Let q = 1 + 4. Suppose 3*j - 2*n + 13 = 0, -3*j - j + 3*n - 18 = 0. What is the smallest value in q, i, j?
j
Let r be (-1)/7*3/(-3). Which is the third smallest value? (a) r (b) 5 (c) -0.1
b
Let z = -5 + 6. Let m = -0.8 + z. Let j = -0.36 + 0.06. Which is the smallest value? (a) j (b) m (c) 5
a
Let z = -379 - -2654/7. Suppose 0*y + 4 = -5*g + y, 4*g - y = -3. Which is the second biggest value? (a) g (b) -5 (c) z
a
Let z be (1 - 0) + (-17 - -17). What is the fourth biggest value in 5, -8, 4, z?
-8
Let t be 7 - 2 - (-21)/(-3). Which is the fourth biggest value? (a) 4 (b) -0.4 (c) 2/11 (d) t
d
Let a be (-54)/(-10) - (1 + 9/(-15)). What is the smallest value in -3/4, a, 1?
-3/4
Let t be 60/(-8) + 3 - -5. What is the second smallest value in t, -0.3, -3?
-0.3
Let l = 0.26 - -2.74. Let s = -0.32 - -0.02. Which is the biggest value? (a) l (b) 0.07 (c) s
a
Let a be (1 - 3)*(-3)/(-2). Suppose 2*c + 3*b + 21 = -2*b, 5*c = 3*b + 25. Suppose 3*w = 5 - c. What is the second biggest value in -
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{
"pile_set_name": "DM Mathematics"
}
|
erivative of -f**7/210 - f**6/50 + f**5/100 + f**4/20 - 12*f. Suppose v(a) = 0. Calculate a.
-3, -1, 0, 1
Let q be 5*((-423)/(-105) - 2*2). Factor 2/7 + 3/7*f + 0*f**2 - q*f**3.
-(f - 2)*(f + 1)**2/7
Let x(d) be the third derivative of -d**6/210 + 4*d**5/105 - 5*d**4/42 + 4*d**3/21 - 10*d**2. Suppose x(v) = 0. Calculate v.
1, 2
Let w(r) be the third derivative of r**6/420 - r**5/30 + r**4/14 + 2*r**2 - 39. Suppose w(o) = 0. What is o?
0, 1, 6
Factor 4*a**3 + 14*a**2 + 7*a**4 + 0*a**4 - 3*a**4 + 8*a - 6*a**4.
-2*a*(a - 4)*(a + 1)**2
Let k = 8 - 2. Let g = 10 - k. Let i**2 + g - 7 + 2 = 0. What is i?
-1, 1
Let d(r) = r**4 - 2*r**5 - 2 - 5*r**5 - 2*r**2 + 3*r + 3*r**4. Let c(j) = -j**5 - j**3 + j**2 + j - 1. Let l(s) = 4*c(s) - d(s). Factor l(h).
(h - 1)**3*(h + 1)*(3*h + 2)
Let m(i) = 9*i**2 - 4. Let n(z) = -19*z**2 + 9. Let q(h) = -9*m(h) - 4*n(h). Solve q(r) = 0 for r.
0
Let h = -115/2 - -58. Suppose 1/2*j**2 + h - j = 0. Calculate j.
1
Determine d so that -4*d**2 - 8/7*d + 0 - 12/7*d**3 = 0.
-2, -1/3, 0
Let k(j) be the second derivative of -4*j**7/147 - j**6/105 + 4*j**5/35 + j**4/21 - 4*j**3/21 - j**2/7 - 12*j. Find h such that k(h) = 0.
-1, -1/4, 1
Let k(r) be the second derivative of -r**5/360 + r**4/144 - r**2 + r. Let y(x) be the first derivative of k(x). Let y(t) = 0. Calculate t.
0, 1
Let m(u) be the third derivative of -u**7/945 - u**6/270 - u**5/270 - 2*u**2. Solve m(a) = 0 for a.
-1, 0
Let r(n) be the third derivative of 0*n + 3/80*n**6 + 0 + 1/32*n**4 - 1/20*n**5 + 3*n**2 - 1/70*n**7 + 1/448*n**8 + 0*n**3. Determine f so that r(f) = 0.
0, 1
Let w(d) = d**2 - 6*d + 5. Let f(u) = -u + 1. Let x(j) = 3*f(j) + w(j). Let o(v) = 3*v - 3. Let i(a) = 8*o(a) + 3*x(a). Let i(y) = 0. What is y?
0, 1
Suppose 0 = 3*p - 8 - 16. Factor -4 + 6*x - p*x**2 - 2*x**3 - 9*x - 7*x.
-2*(x + 1)**2*(x + 2)
Let b(p) be the first derivative of -5*p**4/4 + 20*p**3/3 - 15*p**2/2 + 7. Determine w, given that b(w) = 0.
0, 1, 3
Factor 26/5*b**3 + 56/5*b**2 - 252/5*b**4 + 0 + 162/5*b**5 + 8/5*b.
2*b*(b - 1)**2*(9*b + 2)**2/5
Let u be (-2009)/5*(-1 - -2). Let l = u - -403. Factor -4/5 - l*f - 2/5*f**2.
-2*(f + 1)*(f + 2)/5
Let h(u) be the third derivative of -u**6/780 + u**5/390 + u**4/39 - 4*u**3/39 - 18*u**2. What is a in h(a) = 0?
-2, 1, 2
Factor -5*j**2 - 60 + 4*j + 45*j - 9*j.
-5*(j - 6)*(j - 2)
Let k(s) be the first derivative of s**6/1440 + 4*s**3/3 - 1. Let b(u) be the third derivative of k(u). What is q in b(q) = 0?
0
Let r = -25 + 35. Let n be (-70)/(-6)*2/r. Factor 2/3 - 4*k**2 - k - n*k**3.
-(k + 1)**2*(7*k - 2)/3
Let a(c) be the second derivative of -c**6/20 + 3*c**5/40 + c**4/8 - c**3/4 + 11*c. Factor a(h).
-3*h*(h - 1)**2*(h + 1)/2
Factor -1/5*m**3 - 3/5*m + 3/5*m**2 + 1/5.
-(m - 1)**3/5
Let g(y) be the first derivative of -y**8/1512 - y**7/315 - y**6/180 - y**5/270 - 3*y**2/2 + 1. Let b(k) be the second derivative of g(k). Factor b(i).
-2*i**2*(i + 1)**3/9
Let g = -10485/11 - -955. Determine w, given that -10/11*w + 10/11*w**4 - 20/11*w**3 + 2/11 + g*w**2 - 2/11*w**5 = 0.
1
Let b(y) be the third derivative of y**7/42 + y**6/6 + y**5/4 - 5*y**4/6 - 10*y**3/3 - 6*y**2. Factor b(t).
5*(t - 1)*(t + 1)*(t + 2)**2
Let y be 48/(-64) - 22/(-8). Let s(r) be the first derivative of 2*r + 2/3*r**3 + y*r**2 + 2. Factor s(g).
2*(g + 1)**2
Let m(d) be the second derivative of -d**5/4 + 5*d**4/6 + 25*d**3/6 - 15*d**2 - 26*d. Factor m(z).
-5*(z - 3)*(z - 1)*(z + 2)
Let p(a) = -a**3 + 12*a**2 - 26*a - 6. Let x be p(9). Factor 0 + 1/3*g**4 - 5/3*g**x + 7/3*g**2 - g.
g*(g - 3)*(g - 1)**2/3
Let u(x) be the third derivative of x**5/180 - 5*x**4/36 + 25*x**3/18 - 4*x**2 - 2*x. Let u(w) = 0. What is w?
5
Let f = 40 - 17. Factor 0*p**2 - 4*p**2 - 5*p**4 + f*p**4 - 10*p**3 - 4*p**3.
2*p**2*(p - 1)*(9*p + 2)
Let w(n) be the second derivative of 3*n**5/20 + n**4/6 - 6*n. Find u such that w(u) = 0.
-2/3, 0
Let w(i) = -i**5 - i**4 + i**2 + i - 1. Let p(z) = 5*z**5 - 4*z**4 + 22*z**3 - 28*z**2 + 5*z + 4. Let m(y) = -p(y) - 4*w(y). Factor m(q).
-q*(q - 3)**2*(q - 1)**2
Suppose r = 3*r - 8. Find b such that 0*b**3 + 0 + 1/2*b**5 + 0*b - 1/2*b**r + 0*b**2 = 0.
0, 1
Let i(j) be the second derivative of -j**5/20 + j**4/6 - j**3/6 - 7*j. Determine l, given that i(l) = 0.
0, 1
Let z(d) be the first derivative of -d**7/4620 - d**6/1980 + d**5/660 + d**4/132 - d**3 + 2. Let h(q) be the third derivative of z(q). Factor h(y).
-2*(y - 1)*(y + 1)**2/11
Let a(d) be the second derivative of -d**8/1344 + d**7/840 + d**2 - 3*d. Let m(g) be the first derivative of a(g). Factor m(h).
-h**4*(h - 1)/4
Let v = 1/225 + 1991/7650. Let s = 249/170 - v. What is z in -6/5*z + 2/5*z**2 - 2/5 + s*z**3 = 0?
-1, -1/3, 1
Let p(v) = v**3 - 7*v**2 + 6*v + 3. Let r be p(6). Suppose r*a + y = 11, 4*a + y - 8 = 2*a. Factor -2/7*i**a + 0 + 2/7*i + 0*i**2.
-2*i*(i - 1)*(i + 1)/7
Let a = -300 + 302. Find n, given that -6/7*n**4 + 3/7*n + 3/7*n**5 - 6/7*n**3 + 12/7*n**a - 6/7 = 0.
-1, 1, 2
Let c = 384/7 + -54. Factor -4/7*g + c - 2/7*g**2.
-2*(g - 1)*(g + 3)/7
Let y = 4 + -4. Suppose 5*i - 16 + 6 = y. Solve i*u**2 + u - u**3 + 0*u**2 + 2*u**3 = 0 for u.
-1, 0
Let p(f) be the first derivative of f**2/2 - f + 3. Let u be p(4). Factor -2*s**2 + 2*s**4 - 3 + u + 0.
2*s**2*(s - 1)*(s + 1)
Let c(p) = 4*p**5 + 2*p**4 - 15*p**3 - 14*p**2 + 12*p + 12. Let k(n) = n**5 - n**4 + n**2. Let t(l) = c(l) - k(l). Find g, given that t(g) = 0.
-2, -1, 1, 2
Factor 16/5*u**3 + 14/5*u**2 + 6/5*u**4 + 0 + 4/5*u.
2*u*(u + 1)**2*(3*u + 2)/5
Let t = -204 + 613/3. Suppose 2/3 + z + t*z**2 = 0. Calculate z.
-2, -1
Suppose -2*o + 6*o = -300. Let m = -221/3 - o. Factor -10/3*u - 8/3*u**2 - m - 2/3*u**3.
-2*(u + 1)**2*(u + 2)/3
Let t(r) be the first derivative of 1/6*r**2 - 3 - 1/12*r**4 + 1/3*r - 1/9*r**3. Factor t(m).
-(m - 1)*(m + 1)**2/3
Let r(y) be the first derivative of -2*y**5/35 - 9*y**4/14 - 16*y**3/7 - 20*y**2/7 + 40. Factor r(l).
-2*l*(l + 2)**2*(l + 5)/7
Let q(v) be the third derivative of v**8/420 + v**7/140 - v**5/60 + v**3/2 - v**2. Let m(n) be the first derivative of q(n). Factor m(j).
2*j*(j + 1)**2*(2*j - 1)
Suppose -6*a - 15*a = -0*a. Let f(s) be the second derivative of a*s**2 + 7/30*s**5 + s + 0 - 1/2*s**4 + 2/9*s**3. Suppose f(z) = 0. What is z?
0, 2/7, 1
Let p = -7/24 + 25/24. Let i be (-4 - -4)/(-2 + 6 + -2). Factor 3/4*u - p*u**2 + i.
-3*u*(u - 1)/4
Let b be (-11)/33*(-9)/20. Let l(s) be the second derivative of b*s**5 + 0 - 1/30*s**6 + 0*s**2 + 0*s**4 + 4*s - 2/3*s**3. Factor l(o).
-o*(o - 2)**2*(o + 1)
Let k(p) = 3*p**2 + 6*p + 4. Let x(a) = 12*a**2 + 24*a + 15. Let z(y) = -15*k(y) + 4*x(y). Factor z(w).
3*w*(w + 2)
Determine r, given that 2/5*r + 2/5*r**2 - 2/5 - 2/5*r**3 = 0.
-1, 1
Let g(f) be the first derivative of 7*f**3/3 - 9*f**2/2 + 2*f - 4. Let t(v) = -2*v**2 + 3*v - 1. Let a(j) = 3*g(j) + 8*t(j). Suppose a(z) = 0. Calculate z.
-2/5, 1
Let p(z) = -z**3 - 5*z**2 - 5*z - 7. Let d(y) = 2*y**3 + 15*y**2 + 15*y + 19. Let n(k) = -6*d(k) - 17*p(k). Factor n(c).
5*(c - 1)**2*(c + 1)
Find l, given that -2376*l**2 - 33*l**3 + 275*l - 6*l - 2916*l**4 + 4893*l**3 + 195*l - 32 = 0.
2/9, 1
Suppose a = 7*a. Let r(s) be the first derivative of -1 + 0*s**3 - 1/9*s**4 + 0*s - 2/15*s**5 + a*s**2 + 5/27*s**6. Find l such that r(l) = 0.
-2/5, 0, 1
Let p(a) be the second derivative of a**8/16800 - a**6/600 - a**5/150 - a**4/6 - 2*a. Let l(k) be the third derivative of p(k). Suppose l(j) = 0. Calculate j.
-1, 2
Let 7/2*t**5 - t + 0 - 19/2*t**4 - 1/2*t**2 + 15/2*t**3 = 0. Calculate t.
-2/7, 0, 1
Let s be (-54)/9*1/(-3). Solve -7/2*d**3 + 9/2*d**s - d + 0 = 0.
0, 2/7, 1
Let w(s) be the first derivative of 4/21*s**3 - 1/2*s**4 - 4/35*s**5 + 0*s + 0*s**2 - 3 + 1/3*s**6. What is o in w(o) = 0?
-1, 0, 2/7, 1
Let q(p) = -3*p**3 - p**2 + 1. Let v be q(1). Let i be 0/(((-12)/(-4))/v). Factor i - 2/3*h - 2/3*h**2.
-2*h*(h + 1)/3
Let x = 20 + -18. Suppose -1 - 3 - 5*t**2 + 9*t**x + 6*t**3 - 6*t = 0. What is t?
-1, -2/3, 1
Let b be (-1 + 0)/((-10)/2). Let r(z) be the first derivative of 1/9*z**3 - 2 + 1/4*z**4 + b*z**5 + 0*z + 1/18*z**6 + 0*z**2. Solve r(a) = 0.
-1, 0
Solve -9/4 - 3/4*j**4 + 3*j**2 + 3/2*j**3 - 3/2*j = 0 for j.
-1, 1, 3
Let s = -480 + 482. Factor 0 + 3/2*k - 9/2*k**s + 3*k**3.
3*k*(k - 1)*(2*k - 1)/2
Let v(p) be the first deri
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{
"pile_set_name": "DM Mathematics"
}
|
4*r*w**2 + w wrt r?
-468*q**2 + q + 4*w**2
What is the second derivative of 6615*c**4 + 2*c**2*q - 4*c*q - 432*q wrt c?
79380*c**2 + 4*q
What is the first derivative of 140*i - 121?
140
Find the third derivative of 2564*q**5 + q**2 - 105.
153840*q**2
Find the third derivative of 111*f**5*l + f**5*y + 2*f**2*l*y + 2*f**2*y - 54 wrt f.
6660*f**2*l + 60*f**2*y
What is the third derivative of 2*h**5 - 18*h**4 + h**2 - 104*h?
120*h**2 - 432*h
What is the second derivative of -7859*f**2 + 15*f - 241 wrt f?
-15718
What is the second derivative of -236*r**2*t**2 + r*t + 3*t**2 - 8*t wrt r?
-472*t**2
What is the third derivative of 11*x**6 + 2*x**4 + 27*x**2 - 1?
1320*x**3 + 48*x
What is the first derivative of 41*h**4 - 4*h**2 + 4521?
164*h**3 - 8*h
What is the first derivative of 7*b + 310 wrt b?
7
What is the third derivative of -5861*a**3*s - 284*a**2 - 6*s wrt a?
-35166*s
What is the third derivative of -20*o**4 + 12*o**3 - 503*o**2 wrt o?
-480*o + 72
Find the third derivative of -342*h**6 + 107*h**2 wrt h.
-41040*h**3
Find the second derivative of 2*n**3*x**3 + 13*n**3*x**2 - 71*n**3 - n**2*x wrt x.
12*n**3*x + 26*n**3
Differentiate -4354*b - 680 wrt b.
-4354
What is the second derivative of -8904*s**2 - s - 9768?
-17808
Differentiate -116*f*u**3 - 36*u**3 + 1 wrt f.
-116*u**3
What is the third derivative of 69*j*w**2*z**4 - j*w**2*z - 2*j*w*z**2 + 7*j*w - 2*j*z**3 + 111*j*z**2 + 2*w**2 + 35*w*z**4 wrt z?
1656*j*w**2*z - 12*j + 840*w*z
What is the second derivative of 4*h**3*i**2 + 3*h**3*i + 2*h**2*i**2 - 18*h*i**5 + 3*h*i - 517*i wrt i?
8*h**3 + 4*h**2 - 360*h*i**3
Find the third derivative of 3*f**5 - 51*f**4 - 2305*f**2.
180*f**2 - 1224*f
What is the derivative of 2*o**2*r**3 - 14*o*r**3 + 274*r**3 wrt o?
4*o*r**3 - 14*r**3
Find the second derivative of -30305*o**3 + 3*o - 341.
-181830*o
What is the first derivative of 20*n**2*p**2 + 348*n**2 + n*p**3 wrt p?
40*n**2*p + 3*n*p**2
What is the derivative of 31*b**4*d + 297*d wrt b?
124*b**3*d
Find the second derivative of -61*c**2*l**2 - 2*c**2*l - 456*c*l**2 + l wrt c.
-122*l**2 - 4*l
What is the third derivative of i*o**3 + 6*i*o**2 + i*o + 27*i - 16919*o**3 wrt o?
6*i - 101514
Find the third derivative of 300*c**2*x**3 - 43*c**2*x**2 + 47*c**2*x wrt x.
1800*c**2
Differentiate d*q**2 - 35*d*q - 286*q**2 with respect to d.
q**2 - 35*q
What is the second derivative of 36*h**2*p**5 - 165*h**2 + 2*h*p wrt p?
720*h**2*p**3
What is the first derivative of -6*r**2 + 175?
-12*r
What is the third derivative of k*u**6 + 6*k*u**5 - 35*k*u**2 wrt u?
120*k*u**3 + 360*k*u**2
What is the third derivative of 2*j*m**6 - 191*j*m**3 - 70*j*m**2 - j*m - 2*m wrt m?
240*j*m**3 - 1146*j
What is the derivative of c**2*r**2 - 162*c**2*r - 438*c**2 wrt r?
2*c**2*r - 162*c**2
Find the third derivative of -4*x**4 - 519*x**3 - 2*x**2 + 5*x + 109.
-96*x - 3114
Find the first derivative of -105*t**2*w**3 - t**2*w - 872*t**2 wrt w.
-315*t**2*w**2 - t**2
What is the second derivative of 47*y**2 - 2*y - 44?
94
What is the second derivative of -232*w**2 - 393*w?
-464
What is the third derivative of -3775*x**3 - 11*x**2 - 37 wrt x?
-22650
What is the derivative of 2*r**4 - 21*r**2 + 726 wrt r?
8*r**3 - 42*r
Differentiate -g**2*l - 105*g**2 + g*l**2 - 3*g*l with respect to l.
-g**2 + 2*g*l - 3*g
Find the third derivative of -7686*h**6 + 6564*h**2 - 1.
-922320*h**3
What is the third derivative of -24*s**4 + 6*s**3*u**3 + 2*s**3*u + 2*s**2*u**2 - 236*u**3 wrt s?
-576*s + 36*u**3 + 12*u
Find the first derivative of 3384*u**3 + 4501.
10152*u**2
Find the second derivative of 15358*l**2*w**3 - l**2*w**2 - 45*l*w**3 + 15*l*w + 2*w**3 wrt l.
30716*w**3 - 2*w**2
Find the second derivative of -k*x**2 - 83*k + 1197*x**2 - 3*x wrt x.
-2*k + 2394
What is the second derivative of 4*f*j*m*o - 2*f*j*m - 2*f*j*o**2 - 7*f*j*o - 28*f*m*o**2 - f*o + m*o**2 wrt o?
-4*f*j - 56*f*m + 2*m
Find the third derivative of -437*s**5 + 806*s**2 wrt s.
-26220*s**2
Find the first derivative of -5*c**2*n*x**3 - 7*c**2*n*x**2 + 2*c**2*x**3 + c**2*x**2 - 191*c**2*x - n*x wrt n.
-5*c**2*x**3 - 7*c**2*x**2 - x
What is the third derivative of -12*t**6 + 2*t**5 + 38*t**3 - t**2 + 167*t + 3?
-1440*t**3 + 120*t**2 + 228
Find the first derivative of -3*l*q - 2*l*u**2 - 19*q*u**3 + 9*q*u - 18*q wrt u.
-4*l*u - 57*q*u**2 + 9*q
Find the second derivative of 2*f**3*o**3*p + 79*f**3*o**2*p - 10*f**3*o + 2*o**2*p - 7*o*p + o wrt o.
12*f**3*o*p + 158*f**3*p + 4*p
Differentiate 23*g**2*p**2 - g**2 + 110*g*p**2 - g*p - 11140*p**2 with respect to g.
46*g*p**2 - 2*g + 110*p**2 - p
What is the derivative of c**2*l*x + 312*c**2*l - 231*c**2*x wrt l?
c**2*x + 312*c**2
Find the second derivative of 193*c**2*d*f*l + c**2*d*l - c**2*f**2 - 3*c*d*f**2 + 7*c*d*f*l + 2*c*f**2*l wrt c.
386*d*f*l + 2*d*l - 2*f**2
Differentiate -131*l*s**3 - 13*l*s + 3757*l - 1 with respect to s.
-393*l*s**2 - 13*l
What is the third derivative of -114*r**3*y**3 - 4*r**3*y**2 - 2*r**2*y**3 + 2*r**2 - 1578*r*y**3 wrt r?
-684*y**3 - 24*y**2
What is the third derivative of g*n**2*x**3 - 316*g*n**2*x**2 - 2*g*n**2*x - 74*g*x**3 - n**2*x**2 wrt x?
6*g*n**2 - 444*g
Find the second derivative of -613*m**4 - 14*m wrt m.
-7356*m**2
Differentiate 4*h**2*r**4 - 128*h**2*r**2 - 3181*h**2 with respect to r.
16*h**2*r**3 - 256*h**2*r
Differentiate -71*m + 2 wrt m.
-71
Find the third derivative of -87*a**4 + 27*a**2 wrt a.
-2088*a
What is the derivative of -43*w**4*y - 3*w**3*y**3 - 300*y**3 - 2*y wrt w?
-172*w**3*y - 9*w**2*y**3
Find the third derivative of c**3*z**2 + 42*c**3 + 7*c**2*z**2 - c**2*z + 18*c*z**2 wrt c.
6*z**2 + 252
Find the second derivative of 3*k*n*r**2 + k*n*r + 3*k*n - k*r**4 - 2*k*r**2 + 3*r**2 - 2*r + 6 wrt r.
6*k*n - 12*k*r**2 - 4*k + 6
Find the third derivative of 36*h**4*k + 38*h**2*k - 2*h**2 wrt h.
864*h*k
Find the second derivative of -5339*m**3 + 5908*m wrt m.
-32034*m
What is the second derivative of -15*f**3*j**2 - 16*f**3 - 35*f**2*j**2 + 6*f**2*j + 2*f*j + 3*j**2 - 3 wrt j?
-30*f**3 - 70*f**2 + 6
Find the second derivative of -1157*g*r**4*v + g*r**2*v - g*r**2 + g*r - 3346*g*v wrt r.
-13884*g*r**2*v + 2*g*v - 2*g
What is the second derivative of -53*q**4 - 3*q**3 - 352*q wrt q?
-636*q**2 - 18*q
Differentiate 3*c**2*h**3 - 2*c**2*h*u - 5*c**2*h - 817*c*u - 4*c + 2*h**3*u + 3 wrt u.
-2*c**2*h - 817*c + 2*h**3
Find the third derivative of -480*d**5 - 146*d**2 + 3*d.
-28800*d**2
Find the second derivative of 217*c**3*t**2 + 40*c**3*t - 11*c*t wrt t.
434*c**3
What is the second derivative of -29*m**4 + 7*m**3 + 70*m - 1 wrt m?
-348*m**2 + 42*m
What is the second derivative of 2636*k**2*t**2 + k**2 - 44*k*t + 22*k + 2*t**2 wrt t?
5272*k**2 + 4
What is the second derivative of -12900*k**3 + 2636*k?
-77400*k
What is the first derivative of 93*z**3 + 3*z - 292 wrt z?
279*z**2 + 3
Find the second derivative of 3835*p**2 - 273*p - 3 wrt p.
7670
Differentiate -103*i - 3890 with respect to i.
-103
What is the third derivative of -d**4*j**2 + d**4 - 176*d**3 + 3*d**2*j**2 + j**2 - 8*j wrt d?
-24*d*j**2 + 24*d - 1056
What is the second derivative of -18938*f*j**2 + 9*f*j + 5*f - j**4 + 2*j + 2 wrt j?
-37876*f - 12*j**2
Find the third derivative of -1196*k*p*q*v**3 + k*p*q*v - 473*k*v**2 - 2*k*v + 4*p*q*v**3 + 2*p*q*v**2 + 2*p*v**3 wrt v.
-7176*k*p*q + 24*p*q + 12*p
Differentiate -136*q**3*r**3 - q**3*r + 117*q**3 with respect to r.
-408*q**3*r**2 - q**3
Find the second derivative of h**3*s - 19*h**3 + h**2*s + 3*h*s - 188*h wrt h.
6*h*s - 114*h + 2*s
Find the third derivative of h**6 + 13942*h**5 - 63*h**2 - 28*h + 2.
120*h**3 + 836520*h**2
What is the second derivative of -2*k**5 + 184*k**3 - 6*k**2 + 15788*k wrt k?
-40*k**3 + 1104*k - 12
Find the second derivative of 2101*i**5 + 2*i - 2 wrt i.
42020*i**3
What is the derivative of s**2 + 103*s - 4368 wrt s?
2*s + 103
Differentiate -147*g**3*h**3*s + g**3*h**2 + 2*g**2 - g*h**3 - h**3*s wrt s.
-147*g**3*h**3 - h**3
Find the third derivative of 4873*k**3 + k**2 - 1880*k.
29238
Find the second derivative of 10*v**4 - 3*v**3 + 2*v + 56.
120*v**2 - 18*v
What is the third derivative of -230*h**4 + 144*h**2?
-5520*h
Find the third derivative of -6*h*i*s**3*w + 2*h*i*s**2 + 6*h*s**3*w + h*s**2*w - 6*h*s**2 + 4*i*s**3*w + i*s**2*w + 2*i*s**2 + 2*s**2*w wrt s.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
f*(f/(f/f**(-2/15)))/f*f))**(3/7) assuming f is positive.
f**(1231/105)
Simplify ((n/(n*n**(-15)*n)*n)/n*n*n)/(n/n**1)*n**(-5/4)*n*n**(-18/11)*n assuming n is positive.
n**(665/44)
Simplify (p/(p**(1/4)/p)*p)**(-2/33)/(p*p**(-10)*p**12) assuming p is positive.
p**(-19/6)
Simplify (w/w**(-4))/(w**(-2)*w*w)*(w**(-3/2))**(-2/95) assuming w is positive.
w**(478/95)
Simplify (((p*p/(p*(p*(p/(p/(p/(p**(3/25)/p))))/p*p)/p))/p**(-19))**19)**(-29) assuming p is positive.
p**(-249603/25)
Simplify t**(-3/8)/(t*t/(t**(-11)/t))*(t**(-2))**(-1/27) assuming t is positive.
t**(-3089/216)
Simplify ((b**(4/5)/b*b)/b**(-4/11)*b**(-1)/b**(-1/9))**(-7/5) assuming b is positive.
b**(-952/2475)
Simplify (s/s**(-1/36))**(-8)/(s**(-2/17)/(s*s/s**(-16))) assuming s is positive.
s**(1514/153)
Simplify ((h/(h*h/(h**(2/95)*h))*h**29)**(-1/5))**(3/8) assuming h is positive.
h**(-8271/3800)
Simplify (j**(-13/6)*j*(j/j**21)/j*j)/(j*j**(2/9)/j)**8 assuming j is positive.
j**(-413/18)
Simplify z**17/(z/z**10*z)*(z**(1/4)*z)/(z/(z**(1/14)*z)*z*z) assuming z is positive.
z**(681/28)
Simplify ((w/(w*w**(-2)))/w*w/w**(-9))/(w**(8/3)*w**(-12)) assuming w is positive.
w**(61/3)
Simplify ((k/((k**(-12)/k)/k))/k)/(k/(k/(k*k/((k/(k**(1/6)/k))/k)*k)))*(k*k/k**(-2))**(-1/7) assuming k is positive.
k**(473/42)
Simplify ((m/m**(-2))**3)**0 assuming m is positive.
1
Simplify ((f/f**(1/7)*f/f**(-5))**20)**(-1/13) assuming f is positive.
f**(-960/91)
Simplify (n**(-5/2)*n)**(8/7)/(n/n**0)**(-24) assuming n is positive.
n**(156/7)
Simplify (q**(-10))**(-8)*(((q*q**(15/7)/q)/q)/q*q)/q**(4/13) assuming q is positive.
q**(7356/91)
Simplify (((y/y**(4/7))**(-1/81))**(-2/51))**32 assuming y is positive.
y**(64/9639)
Simplify ((q**(-1/8)*q*q)/q**(2/13)*(q**2)**(-2/39))**(2/11) assuming q is positive.
q**(505/1716)
Simplify d**11*d**(2/25)*((d*d**2/d*d)/d)**(-2/47) assuming d is positive.
d**(12919/1175)
Simplify (d**(-8/9)*d/d**(1/35))/((d/d**(-14)*d)/((d**(-2/57)*d)/d)) assuming d is positive.
d**(-95476/5985)
Simplify ((r/r**(-5))/r)**8/(r**(3/7)*r)**(-44) assuming r is positive.
r**(720/7)
Simplify (d**(5/7)*d)**(-3/31)/((d/(d/(d*d*d/d**6*d*d*d)))/d**(-2)) assuming d is positive.
d**(-470/217)
Simplify (h**(1/10))**(-3/14)/(h**9)**(-45) assuming h is positive.
h**(56697/140)
Simplify (q/((q*q**(-13)*q)/q))**(-8)*q**28*q**(16/7) assuming q is positive.
q**(-516/7)
Simplify ((h**(2/7))**7*(h**(-1))**(-26))**(-1/14) assuming h is positive.
h**(-2)
Simplify ((d*d**(5/2))/(d*d*d*d*d**(-9)*d*d))/(d/(d/(d**22*d*d))*d**(-3)) assuming d is positive.
d**(-29/2)
Simplify m/(m**(-10)*m*m)*m*m**(1/7)*m*((m**(2/3)/m)/m)/m*m*m*m**(-7/3) assuming m is positive.
m**(178/21)
Simplify (k**(2/55))**17*(k*k**23)/k**21 assuming k is positive.
k**(199/55)
Simplify (w**(7/3)*w)**(-32)*w**16*w*w**17 assuming w is positive.
w**(-218/3)
Simplify n/n**11*n/(n*n**(2/5))*n*n**(2/39)*n/(n/(n*(((n/n**(2/7))/n*n)/n*n)/n*n*n*n*n)*n)*n assuming n is positive.
n**(-6326/1365)
Simplify (((j/(j/j**(3/5)))/j*j)/(j**(3/2)*j*j)*(j**(-1/2)/j*j)**36)**(-6/7) assuming j is positive.
j**(627/35)
Simplify ((l**(9/4)*l**6)**(-2/17))**(2/37) assuming l is positive.
l**(-33/629)
Simplify g**(-3/10)/(g/g**6*g)*(g/(((g/(g/(((g*g**(2/57)/g*g*g)/g)/g)))/g*g)/g*g*g))/(g*g**6) assuming g is positive.
g**(-1901/570)
Simplify (j**(-8)/(j/j**(1/7)))/(((j/(j**(-7)/j))/j)/((j**(2/27)*j)/j)) assuming j is positive.
j**(-3172/189)
Simplify d*d**7/d*d*d*d**(-3)/d*d*(d*d*d*d**(-5/2))/(d/(d/d**(-11))) assuming d is positive.
d**(35/2)
Simplify ((b*b/(b**(-3/5)/b))/b*b)/b**(1/10)*b*b**(2/43)*b*b/(b/(b/b**(-5))) assuming b is positive.
b**(993/86)
Simplify ((o**(-2/3)/o*o*o)/((o*o**(3/11))/o))/(o*o/(o*o/o**12*o)*o**(-1/14)) assuming o is positive.
o**(-5021/462)
Simplify (u**(-7/3)/u)/(u*u**(8/7))*(u/u**(2/9))/u*u**(-3/10) assuming u is positive.
u**(-3779/630)
Simplify (b/((b/(b*b**(1/3)))/b)*b)**(-6/17)/((b*b*b*b*b**(-4/9)*b*b)/b)**(-7/4) assuming b is positive.
b**(4159/612)
Simplify (c/(c**(-2/5)*c)*c*c**7)**(-2/51) assuming c is positive.
c**(-28/85)
Simplify (r*r**11)/(r/(r*r**(9/4)*r)*r)*(r*(r/r**0)/r)/r*r*r**1 assuming r is positive.
r**(65/4)
Simplify (x**(5/3)*x**0*x*(x*x/x**2*x)**(-4/7))**(18/11) assuming x is positive.
x**(24/7)
Simplify ((q/q**(-2/7))/q)**17*((q**(5/7)/q)/q)/q**(-2/9) assuming q is positive.
q**(239/63)
Simplify (((z*z/((z**(4/7)*z)/z))/z)/z*z**12*z)/(z**3*z)**(13/7) assuming z is positive.
z**5
Simplify (t*t**(-14)*t**(-1/21))/(t**3/t*t**10) assuming t is positive.
t**(-526/21)
Simplify (k**4)**(-1/40)/(k**17*k*k*k/(k/(k/(k/k**(-19)*k)))) assuming k is positive.
k**(9/10)
Simplify (n*((n/n**9*n)/n)/n*n*n**3*n*n*(n**0)**(14/9))**(4/7) assuming n is positive.
n**(-8/7)
Simplify (((q*q**(6/5))/q)/q)**(-19)*(q**(5/8)/q)/q**(10/9) assuming q is positive.
q**(-1903/360)
Simplify (c**(-5))**31/(c**11)**10 assuming c is positive.
c**(-265)
Simplify ((q**(-2/17)*q)/(q/q**(-2)*q))**8 assuming q is positive.
q**(-424/17)
Simplify (p/(p**16*p))**(-5)/(p**(-2)/(p/p**(1/66))) assuming p is positive.
p**(5477/66)
Simplify ((r*r**(-2))**(1/40)/(r/(r/(r**(1/2)*r))*r*r**(-2/15)))**(11/4) assuming r is positive.
r**(-3157/480)
Simplify ((p*(p/p**(1/2))/p)**23*(p**(2/7))**(15/7))**(-10/11) assuming p is positive.
p**(-5935/539)
Simplify c*c*c**12*c*c/(c/(c*(c/c**(1/2))/c))*c*c/c**15*c/(c*c**11) assuming c is positive.
c**(-17/2)
Simplify (q/(q*q**(-1/4)))**(-31)*q**(-1/18)/q*q**(-3/10) assuming q is positive.
q**(-1639/180)
Simplify ((r/(r**(3/5)*r*r*r))/r**(-2/29))/(r**5)**29 assuming r is positive.
r**(-21392/145)
Simplify (v/((v**(-8/7)/v)/v*v))/v*v/(v/(v/(v/(v*v**(-1/2)*v)))*v)*(v/(v/(v*(v**(-10)*v)/v)))/(v**(2/27)*v) assuming v is positive.
v**(-2809/378)
Simplify (z/z**(2/7))**(-17/5)/(z/(z**(3/11)*z))**15 assuming z is positive.
z**(128/77)
Simplify ((i**(-1/9)*i**(2/47))**(3/22))**(-2/99) assuming i is positive.
i**(29/153549)
Simplify (g**(-3/5))**31*g**(5/3)*(g*g*g/(((g**(10/9)/g)/g)/g*g))/g assuming g is positive.
g**(-632/45)
Simplify (t**1*t**3*(t*t**(2/7)/t*t)**(4/7))**(4/21) assuming t is positive.
t**(928/1029)
Simplify ((((z/(z*z/(z*z**(2/3))))/z)**(-20))**36)**(-2/11) assuming z is positive.
z**(-480/11)
Simplify (j**(1/4)/j*(j*(j*j**(-7)*j)/j)/j)/(j**(-2/7))**(-33) assuming j is positive.
j**(-453/28)
Simplify g/(g/((g**14*g)/g*g))*g*(((g**(-18)*g*g*g)/g*g)/g)/g*(g**(-27)*g)/g**(-2/89) assuming g is positive.
g**(-2401/89)
Simplify ((g/((g*g**(-2/9)/g)/g))/g*g**(-1))**(-6) assuming g is positive.
g**(-4/3)
Simplify (a/(a*a/(a/(a*a*a*a**5/a))*a))**17*a**(-3/11)*a*a**(-2/13) assuming a is positive.
a**(-19366/143)
Simplify (y**24*y*y/y**(-6/19))/(y/((y*y**(-27)*y*y)/y)*y*(y**(-24)/y)/y*y) assuming y is positive.
y**(462/19)
Simplify o/((o/((o/((o/(o*o**(-18/7)))/o*o))/o))/o)*o*o*((o*o*o**(-2/9))/o)/o*o*(o**9/o)**(-3/22) assuming o is positive.
o**(80/693)
Simplify ((f/f**(1/2))**(5/6)*f**(-2)/f**(-7))**35 assuming f is positive.
f**(2275/12)
Simplify y**1/((y/((y/(y/((y*y*y**(-8))/y)))/y))/y)*(y/(y/(y*y/y**5)*y))**(-43) assuming y is positive.
y**165
Simplify (((c**(2/43)*c)/c)/(c/c**(2/17)*c))**(-24/5) assuming c is positive.
c**(32208/3655)
Simplify (((w/w**(2/9))/w*w*w*w/(w**(-5)*w)*w)/((w**6*w)/w**(-1/2)))**(-17/5) assuming w is positive.
w**(-17/18)
Simplify (t**(-1/4)/((t/((t*t/t**(-3)*t)/t))/t)*t**(-6)/((t**(-3/11)/t)/t))**(2/43) assuming t is positive.
t**(45/946)
Simplify ((q**(-5/2)*q*q**(1/3))**(-19))**32 assuming q is positive.
q**(2128/3)
Simplify (s/(s*s/(s**(-1/4)/s))*s)**(-27)/(s**(-4/5)/s**(1/6)) assuming s is positive.
s**(2083/60)
Simplify ((r*r**17)/(r*r**12/r))/((r**8/r)/r*r/(r**(2/17)/r)*r) assuming r is positive.
r**(-49/17)
Simplify o**(2/45)*o/o**25*(o**(-2/13))**19 assuming o is positive.
o**(-15724/585)
Simplify (c**(-11)*c)/c**(-10)*(c**(-11)/c)**(-38) assuming c is positive.
c**456
Simplify ((m**(-1/3)/m)/m)/(m/(m*m*m/(m/m**(-1/30))*m*m))*m**16*m*m/(m/(m*m**(-22))*m) assuming m is positive.
m**(-131/30)
Simplify ((a**(5/7))**(-2/11))**8 assuming a is positive.
a**(-80/77)
Simplify ((h**18)**34)**(21/8) assuming h is positive.
h**(3213/2)
Simplify (r**7/r**(2/33))**(2/19) assuming r is positive.
r**(458/627)
Simplify ((((w/(w**(4/11)*w))/w*w*w)/w)/w*w**0)/((w/(w/(w/(w**(-2/15)*w))))/(w*w*w**(-4)*w*w))
|
{
"pile_set_name": "DM Mathematics"
}
|
he value of 10*((-1)/5)/(10/20)?
-4
Evaluate (27/(-3))/(-3)*3/(-3).
-3
Calculate (1/2)/(127/762).
3
What is 15/4*(17/10)/(-17)?
-3/8
Calculate ((-16)/84)/(50/(-35)).
2/15
(-60)/18*(-8)/120
2/9
Evaluate 3/2*(45/10)/(-9).
-3/4
16/(-24)*(-5)/40*-3
-1/4
What is (12/10)/(24/60)?
3
What is 18/(-1)*(-5)/(-15)?
-6
What is the value of ((-1)/9)/(2/(-18))?
1
((-44)/(-28))/(33/231)
11
What is ((-3)/(-16))/((-6)/(-4))?
1/8
Evaluate ((-9)/(-18))/(2/4).
1
What is ((-13)/(-26))/(2/16)?
4
Evaluate (33/176*-4)/(6/4).
-1/2
What is the value of (42/(-10))/7*2/3?
-2/5
What is the value of ((-103)/309)/((7/30)/(-7))?
10
1*1/1*6/(-5)
-6/5
What is the value of (9/(-12))/(10/(-40))?
3
((-1075)/(-215))/((2/2)/2)
10
What is 1*-2*17/(-34)?
1
What is ((-45)/(-30))/((-1)/2)?
-3
What is -3*5/(-10)*(-2)/(-21)?
1/7
What is (6/(-4))/((-11)/22)?
3
Evaluate ((-2)/30)/((-80)/(-96)).
-2/25
(-2)/(-6)*36/(-6)
-2
(-6)/6*1/(-2)
1/2
Calculate (-5*(-9)/90)/(4/(-72)).
-9
Calculate (-4)/4*5*-1.
5
What is (4/13)/((-42)/(-1365))?
10
What is (-40)/(-160)*(-24)/(-33)?
2/11
Evaluate (1/10*-4)/(21/5).
-2/21
Evaluate (-10)/(-4)*42/(-455)*-26.
6
-4*(-3)/24*-3
-3/2
What is the value of 3/((-2)/16*-8)?
3
What is the value of (-12)/15*(-65)/104*-4?
-2
What is (6/(-18))/((-57)/(-18))*1?
-2/19
What is (2/(16/12))/3?
1/2
What is (42/24)/(19/(-76))?
-7
Calculate (245/49)/((-2)/4*-2).
5
4*(-9)/(-48)*8/2
3
What is 10/(-2)*4/((-24)/6)?
5
What is the value of (-3)/9*(-9)/(-12)*-4?
1
(2/5)/((-198)/495)
-1
What is (3/(-12)*-4)/((-5)/10)?
-2
(-11)/22*4/(-7)
2/7
What is the value of -14*(-9)/(-12)*(-16)/24?
7
Calculate (185/259)/((6/(-14))/(-3)).
5
Calculate 6/(2/((-20)/(-30))).
2
Calculate ((-12)/(-4))/18*-21*-2.
7
Calculate 24/(-12)*4/20.
-2/5
Evaluate 18/(-15)*-5*5/6.
5
What is the value of 2/(-2)*4*(-5)/(-30)?
-2/3
What is the value of 3/(-6)*(-12)/(-2)?
-3
(12/30*(-5)/(-2))/(-1)
-1
Calculate ((-2)/20)/(15/300*-4).
1/2
Evaluate (70/(-20))/(2/(-12)*3).
7
(-1)/14*52/26
-1/7
Evaluate 1*9/(-234)*(-4)/1.
2/13
What is (-8)/(-20)*-5*-3?
6
What is the value of ((1/(-1))/4)/(2/4)?
-1/2
Evaluate (6*20/240)/((-14)/(-4)).
1/7
What is the value of (-36)/(-2)*(-30)/(-60)?
9
(9/(-12))/(324/(-96))
2/9
(-5)/((50/4)/(-5))
2
((-2)/24)/((-2)/(-4))
-1/6
((-16)/(-56))/(3/(-7))*-3
2
Calculate 880/(-770)*((-1)/4)/(-1).
-2/7
Evaluate (45/60)/((-180)/32).
-2/15
60/(-24)*(-2)/5
1
Calculate ((-4)/8)/((-9)/(-18)).
-1
Evaluate -6*11/(-462)*-8.
-8/7
2*(-9)/(-7)*11/(-66)
-3/7
What is (-6)/4*(-1)/4?
3/8
What is (((-3)/1)/3)/(5/25)?
-5
320/(-96)*3/(-2)
5
Evaluate (12/8*-1)/((-3)/6).
3
(-1*1/7)/((-3)/12)
4/7
Calculate ((-5)/9)/(((-285)/(-6))/(-19)).
2/9
Evaluate 5/105*-3*-7.
1
What is the value of 4*((-35)/(-30))/7?
2/3
Calculate (-22*28/(-77))/((-4)/(-2)).
4
What is (-9)/(-2)*((-168)/(-9))/(-14)?
-6
(123/82)/((-6)/(-28))
7
((-12)/(-8))/((-6)/8)
-2
What is the value of ((-1)/(-1))/((-1)/((-6)/7))?
6/7
What is the value of ((-210)/63)/(4/6)?
-5
Evaluate 14/(-63)*3*1.
-2/3
What is the value of ((-14)/(-21))/((-1)/5*4)?
-5/6
What is ((-35)/(-70))/(1/1)?
1/2
What is 107/107*4/((-8)/6)?
-3
What is the value of -3*1/9*1?
-1/3
Calculate 2/((48/50)/(18/(-45))).
-5/6
What is the value of ((-3)/(-30))/(4/(-10))?
-1/4
Calculate 8/10*(-1)/(-5)*-5.
-4/5
Evaluate (0/(-1)*6/(-12))/(-2).
0
What is the value of ((-38)/(-57))/((-8)/(-120))?
10
Calculate ((-6)/15)/(1/10).
-4
What is the value of ((-2)/(-30)*6)/(6/10)?
2/3
Calculate 14/((-28)/5)*(-6)/(-3).
-5
Calculate 3/8*38/57.
1/4
What is the value of ((-20)/(-30))/((-4)/(-48))?
8
What is the value of ((-6)/(-15))/(((-152)/10)/(-4))?
2/19
-4*(-6)/(-48)*-2*5
5
What is the value of 16/(-12)*(-243)/(-72)*-2?
9
Evaluate 24/(-69)*-8*6/(-192).
-2/23
Calculate (400/(-15))/16*(-4)/10.
2/3
Calculate (-1)/6*-2*66/44.
1/2
((-2)/(-2)*1)/(134/536)
4
Calculate (-9)/(-21)*26/(-78).
-1/7
What is ((-6)/54)/(2/4)?
-2/9
224/196*7/(-9)
-8/9
Calculate (4/24)/1*-2.
-1/3
(805/50)/(-23)*4/7
-2/5
What is the value of (-10)/(-3)*174/(-145)?
-4
6/33*(2/(-1))/2
-2/11
8/(-24)*72/4
-6
(100/125)/(4/(-10))
-2
(-4)/(-10)*2*25/5
4
What is (207/138)/(9/(-4))?
-2/3
What is 4/(-2)*(-18)/(-126)?
-2/7
((-4)/9)/(5/45*-2)
2
0/15*2*3/(-12)
0
Evaluate (71/142)/(1/8).
4
(-6)/(-9)*1*9/6
1
Calculate ((-10)/18)/(30/36).
-2/3
Evaluate 80/(-1120)*(-28)/10.
1/5
Calculate (-5)/((-235)/47*2/(-12)).
-6
What is (5/(-10))/(2/3)?
-3/4
What is the value of ((-8)/(-250)*-5)/((-8)/5)?
1/10
What is the value of ((-6)/(-108)*3)/((-2)/8)?
-2/3
Evaluate (72/(-84))/(3/14).
-4
Evaluate 6*14/(-882)*3*-3.
6/7
What is -5*(238/315)/17?
-2/9
Evaluate 2*-1*(-11)/(-22).
-1
What is the value of (30/27)/(26/(-234))?
-10
What is the value of 4/12*-3*-1?
1
1/(-4)*2/(-2)
1/4
Calculate (3/2)/((-18)/12).
-1
What is (1/(-1))/(8*14/896)?
-8
Calculate ((-3)/9)/((-21)/(-441)).
-7
What is the value of ((-7)/((-350)/(-12)))/(36/(-60))?
2/5
Evaluate 4*6/48*-6.
-3
30/5*1/(30/2)
2/5
Evaluate (-5)/6*(-30)/75.
1/3
What is the value of (-9)/(-6)*(-12)/63?
-2/7
Evaluate (2*(-2)/14)/(513/2394).
-4/3
What is (-9)/(-2)*(-18)/189*-7?
3
What is the value of ((-52)/(-91))/(1/(-7))?
-4
What is 2/(-24)*-2*(-12)/3?
-2/3
(23/(-874))/(-3*(-2)/24)
-2/19
What is (3/(60/(-2)))/((-7)/(-28))?
-2/5
Evaluate -10*(-4)/(-136)*(-12)/30.
2/17
Calculate (-1)/(33/(-5))*318/(-795).
-2/33
What is ((-2)/5)/(2/10)?
-2
What is the value of ((-12)/(-9))/((1600/30)/16)?
2/5
What is ((-1)/18)/((-64)/(-192))?
-1/6
What is the value of 2/(-7)*798/(-76)?
3
Evaluate (2/24)/((-9)/(-12)).
1/9
((-4)/(-40)*-2)/(10/30)
-3/5
Calculate (-2)/4*-18*(-14)/819.
-2/13
What is the value of (18/30)/((3/(-1))/(-15))?
3
Calculate (36/180)/(2/(18/3)).
3/5
Calculate ((45/(-12))/(-5))/(45/30).
1/2
Calculate ((8/14)/2)/((-8)/(-12)).
3/7
Evaluate ((44/(-30))/11)/((-1)/(-5)).
-2/3
Evaluate (7/(-21))/(10/90).
-3
Calculate (3/2)/((-9)/120*-5).
4
((-350)/(-1120))/((-2)/(-8))
5/4
What is (3/8*-2)/((-75)/(-25))?
-1/4
Calculate ((-9)/12)/((-6)/4).
1/2
What is (-1)/(5/(-75)*-3)?
-5
Calculate (45/(-540))/(2/(-3)).
1/8
Calculate (-30)/8*(-9)/108*8.
5/2
What is the value of (75/(-675))/((-28)/18)?
1/14
Calculate (40/(-10))/(((-9)/(-3))/3).
-4
What is the value of 11/22*-2*-3?
3
32/24*2/4
2/3
Calculate ((-13)/52)/(10/(-8)).
1/5
What is the value of (6/4)/((1633/(-138))/71)?
-9
What is ((-14)/(-14))/(1/(3/1))?
3
(2/4)/((-105)/126)
-3/5
Evaluate (3/12)/(2/(-32)*-10).
2/5
Evaluate (2/3*(-60)/(-100))/(-1).
-2/5
What is 3/((-15)/(-20)*-2)?
-2
Evaluate ((-7)/980*-7)/(4/10).
1/8
What is the value of (((-45)/(-24))/(-5))/((-3)/(-2))?
-1/4
What is 160/(-16)*3/(-6)?
5
Calculate (8/(-54))/2*60/(-10).
4/9
What is -2*((-3)/(-3))/(1/(-1))?
2
What is the value of ((-18)/18)/((-1)/2)?
2
Evaluate ((-6)/(-10))/(30/(-160)*-8).
2/5
What is the value of (5/15)/((-2)/(-24))?
4
Evaluate (2/24)/((-9)/(-24)).
2/9
Calculate (3/6)/(5/(10/1)).
1
What is 0/(((-4)/4*1)/1)?
0
Evaluate 2/(5*4/40).
4
Calculate (9/((-9)/1))/((-2)/2).
1
What is 3*(-2)/(-4)*(-20)/10?
-3
Evaluate 2*4/8*-9.
-9
Evaluate (98/98)/((-4)/(-1)).
1/4
What is the value of (6/8)/((567/(-18))/(-7))?
1/6
What is the value of ((-1)/(-3))/(((-33)/9)/(-11))?
1
((6/(-4))/(-3))/(4/(-8))
-1
((-23)/69)/((-8)/(-42))
-7/4
Evaluate (5/(-75))/(3/(-5)).
1/9
What is 98/28*(3/(-42))/(-1)?
1/4
What is the value of (-15)/2*(95/30)/(-19)?
5/4
What is 6/20*2*(-94)/141?
-2/5
Calculate ((-12)/36)/((-1)/(-2)).
-2/3
What is the value of (8/13)/(178/1157)?
4
((-6)/9)/(150/45)
-1/5
Calculate (4/(-14))/((-1)/14).
4
What is the value of 12/10*(-25)/10?
-3
What is ((-4)/4)/((-8)/((-240)/35))?
-6/7
What is the value of ((-28)/112)/(1*(-2)/48)?
6
What is the value of ((20/32)/5)/(5/60)?
3/2
(72/(-60))/(-3*2/15)
3
What is (-6)/(-8)*40/50?
3/5
What is the value of -1*(-2)/75*(-145)/(-29)?
2/15
What is the value of 1/(11/((-9)/9))?
-1/11
What is (-540)/(-225)*20/6?
8
What is the value of (2/15*(-110)/11)/2?
-2/3
What is (-6)/(-30)*(-15)/2?
-3/2
Calculate (((-8)/14)/2)/(280/490).
-1/2
Evaluate (9/6)/((-24)/64).
-4
Evaluate (-2)/(1/((-12)/(-18))).
-4/3
What is (-16)/(-6)*108/(-72)?
-4
Evaluate ((-4)/(-26))/(850/1105).
1/5
Calculate ((-9)/6)/((-3)/(-6)).
-3
((-2)/(-12)*-3)/((-31)/(-62))
-1
What is (-8*3/(-6))/14?
2/7
What is the value of ((-8)/(-72)*-12)/(-18)?
2/27
What is 12/((-1)/(2/16*-4))?
6
Calculate ((-2)/6*1)/((-9)/(-81)).
-3
What is the value of 2/12
|
{
"pile_set_name": "DM Mathematics"
}
|
(h*(h*h*h/(h**(-1/3)*h)*h)/h*h)/h)**(1/53))**(1/58))**(-3/20) assuming h is positive.
h**(-5287/245920)
Simplify (((n**(-2/7)*n*n)/n)**30/(n**(-5)/(n/(n*n*n*n**(-15)))))**(-1/13) assuming n is positive.
n**(-276/91)
Simplify ((x/x**(-1/2))**(-22/3)/(x*x**1/x)**(5/8))/(((x*x**3)/x**2)/(x*x/x**1*x)**(-8/15)) assuming x is positive.
x**(-1763/120)
Simplify (((d/(d*d*d**(-1/3)))/d**0)/(d*d**(6/11)*(d*d*d**(1/9)*d)/d))/(d**(10/9)*d**(-9))**(2/77) assuming d is positive.
d**(-2854/693)
Simplify (t/t**(-2/27))**(-11/4)/(t**8/t*(t/t**(-23))/t) assuming t is positive.
t**(-3559/108)
Simplify ((((s*s**(-1))/s)/s)**25/(s**(-1/3)/(s/s**(-3))))/((s*s*s/s**(-1)*s)**1)**(-45) assuming s is positive.
s**(538/3)
Simplify ((z*(z**(-1)*z)/z)**(6/23)*z**0/z*z*z*z**(-4))/((z*z*z**1)/z**(-3/2))**3 assuming z is positive.
z**(-33/2)
Simplify (((l**30*l*l/((l*l**(-3)*l)/l))**(-14/11))**(-21/5))**33 assuming l is positive.
l**(29988/5)
Simplify (u/(u/(u/u**(-17)*u)))/(u/(u/((u**(-1/4)/u*u)/u)))*u**(20/9)/u*u/u**(-6/19)*u*u*u*u*u assuming u is positive.
u**(19007/684)
Simplify ((x**(1/4)*x*x)**(-31))**(-28)/(x**(-3/4)*x*((x*x**(-3/10)*x)/x)/x*x**1/x**7) assuming x is positive.
x**(39181/20)
Simplify ((l**(2/23)*l**4*(l**(-1/3))**(24/5))**(-5/2))**5 assuming l is positive.
l**(-715/23)
Simplify ((h**(1/6))**(-7/4)/(h**(-2/15)/h*h*h**(-2/9)*h))**50 assuming h is positive.
h**(-1685/36)
Simplify ((u/u**(-7))/u*(u*u**(-5/6))/u*(u**(-2))**41)/((u/u**(-2/5))/u**3*((u*u**(2/5))/u)**(-1)) assuming u is positive.
u**(-443/6)
Simplify ((i**(-6/5))**13/(i**(-9))**(3/23))**(-16/7) assuming i is positive.
i**(3792/115)
Simplify (v**14*v**(-18/11))/((v**(-25)/v)/v**(-20)) assuming v is positive.
v**(202/11)
Simplify ((m*m**(-2)/m)**(30/7))**(-16)*(((m/(m/m**1*m))/m)**(-2/37))**(-45) assuming m is positive.
m**(34890/259)
Simplify (((o*(o*o**(12/11))/o*o)/((o/o**(1/2))/o))/((o*o*o*o**(-8/5)/o*o)/o)**43)**24 assuming o is positive.
o**(-17964/55)
Simplify ((t/t**(1/3))/t**(2/13))**48/(t**(-7)/t*t*t**(-7)*t)**38 assuming t is positive.
t**(6742/13)
Simplify ((z*((z*z**(-2/7)/z)/z)/z)**(3/4)/(z**(2/15)/(z*z**(-2))))/((z/(z/z**(-1))*z)**(2/5)*z**(2/3)/(z/(z**(-5)/z*z))) assuming z is positive.
z**(453/140)
Simplify ((y**(2/9)/y)/(((y/(y/((y/(y/y**(2/37)))/y)))/y*y*y)/y)*y**(4/11)/y*y**7)**(-8/7) assuming y is positive.
y**(-27344/3663)
Simplify (v**(-13)/(v*(v/(v/v**(-4/9)))/v*v)*v**(3/5)*v/(v*v**10))**(1/32) assuming v is positive.
v**(-1033/1440)
Simplify (x**46*x)/(x**(-8)/x)*(x*(x*x**(-4/7))/x)/x**46 assuming x is positive.
x**(73/7)
Simplify (v*v*v*(v/(v/(v/(v**2*v*v))))/v*v)/v*v/(v/v**8)*v*v**(-6)/v*v**(-2/9)*(v*v**(-2/9)*v**(2/3)*v)**(-11) assuming v is positive.
v**(-235/9)
Simplify (((p**0/p)/p**(2/19)*p**(-3)*p*p*(((p**(1/4)/p)/p)/p)/p)**(-1/3))**(2/23) assuming p is positive.
p**(445/2622)
Simplify (x/(x**2*x))/((x/(x*x**(-3/8)/x))/x)*(x/(x**5*x))/(x*x/(x*x/x**7))*((x/(x*x*x**(-2/9)*x)*x*x)/x**5)**22 assuming x is positive.
x**(-8603/72)
Simplify (x*x*x**1)**(-17)/(x**0)**(-23/3)*(x**(-1/2)*x**1)**41 assuming x is positive.
x**(-61/2)
Simplify ((s*(s*s/(s/s**(5/11)*s))/s)**(2/77)/(s**(-26)/(s*s**14*s)))**47 assuming s is positive.
s**(1672448/847)
Simplify (y*y/y**(-16)*y*y)**(-29)/(y**(-2/5)/y**37) assuming y is positive.
y**(-2713/5)
Simplify ((f**22)**(3/5)/(f*f**(-22/9))**30)**37 assuming f is positive.
f**(31376/15)
Simplify ((x**(-2)/x)**(-1/8)/(x**(-10)*x**(3/10)*x))**(-28) assuming x is positive.
x**(-2541/10)
Simplify ((z**(-1))**(-34)*z*z**(-1/5)/z*z**(-1/11))/((z/((z*z**(-4)*z)/z))/z**(-3/2)*(z**2)**(-14/13)) assuming z is positive.
z**(43419/1430)
Simplify (v**(-4)*(v/(v**(-4)/v))/v*v)/((v/v**(3/5)*v)/(v*v**(-2)))*(v**(-2/3)*v)**(-1/28)/(v**(3/5)/v**7) assuming v is positive.
v**(503/84)
Simplify (f*f**(11/2)*f)**(-32)*(f**(-36))**16 assuming f is positive.
f**(-816)
Simplify ((g/g**2*g)/g*g)/g**(-1/4)*g**(1/4)*g/(g/(g*g/g**(1/3)))*g**2/(g*(g**(-7)*g)/g)*(g*g**(1/2)*g)**39 assuming g is positive.
g**(323/3)
Simplify ((f/f**(3/8))/(f*f**(-1/39)/f)*f/f**35*f**4*f)**(7/4) assuming f is positive.
f**(-61915/1248)
Simplify ((n**(-1/9)*n**(-1/39)*n*n)/((n**(-26)/n)/n**(-15)))**2 assuming n is positive.
n**(3244/117)
Simplify ((((v/(v**6*v))/(v*v*v**(-2/5)))/(v/(v**(-1/5)/v)*v**(-1/24)))**(-1/10))**(-23) assuming v is positive.
v**(-26933/1200)
Simplify (i**(-2/5)*i**0*((i*i/i**(-6)*i)/i)/i*i/(i/i**4))/((i**0)**(-16)*i**0/i**(-6)) assuming i is positive.
i**(23/5)
Simplify ((s**(-2/9)/(s*s**4))/(s**(-8)*s/(s/s**(2/11)*s)))/((s**(1/2)/s)**(-7/9))**9 assuming s is positive.
s**(19/198)
Simplify ((m/((m**8/m)/m*m))/m*m**(-4)*m)**8*(m**(1/2)*m**3)/(m**(-1/4)/(m/(m**(-2/33)*m))) assuming m is positive.
m**(-10057/132)
Simplify ((p**(2/7))**(-2/57)*((p/(p**(-11)*p))/p)**(-40))**(3/4) assuming p is positive.
p**(-39901/133)
Simplify (((s**4/s)/(s*s**4))/((s**2*s*s)/s**(-3/7)))/((s**0)**(-48)/(s**6*(s/(s/(s*s/s**(-1/3))))/s)) assuming s is positive.
s**(19/21)
Simplify ((j**4)**(3/5))**31*(j**(2/5)*j)**(-25)*(j*j**(-7))/(j*((((j*(j/((j/(j/(j*j/(j*j**(-2/11)))))/j))/j)/j)/j)/j)/j) assuming j is positive.
j**(1957/55)
Simplify (m*m**(-10)*m**(-1/22))**(-20)*(m**(-1/4)/m*m/(m/(m/(m**3*m))))/((m/((m**0/m)/m))/m)**(-1/21) assuming m is positive.
m**(163321/924)
Simplify (h**(-1/4)/h**(-4/11))**(-6/31)/(h**2/h**(8/5))**12 assuming h is positive.
h**(-16443/3410)
Simplify (((j**(2/5)/j)/j**2)/((j*j*j/(j*j**7))/j**(-1/13)))**(3/8) assuming j is positive.
j**(453/520)
Simplify (x/((x*x/(x*x**41)*x)/x)*x)/x**21*x*x*x**(-6)*(x*x/(x*x**(2/85))*x*x)/x assuming x is positive.
x**(1613/85)
Simplify (((l**(-2/65))**(-2/19))**(-1/84))**(-32) assuming l is positive.
l**(32/25935)
Simplify b*b**(-1/9)*b*b**(-2/3)*b**4/(b/(b/b**2))*((b/b**(-4))/(b/b**0))**(-3/16) assuming b is positive.
b**(89/36)
Simplify ((m**(1/4))**(4/5)*m*m**(-4/3)/m*m/(m/((m*m/(m*m**(1/2))*m)/m)))/(((m*m/m**7*m)/m)/(m/(m**(-12)/m)))**(-49) assuming m is positive.
m**(-27949/30)
Simplify z**40*z**14*z**(-8/7)/(z*z**6) assuming z is positive.
z**(321/7)
Simplify (q**(-5)*q*q**(-3)*q*(q*q**(1/5))**42)/(q**4*q*q/(q/(q**6*q))*q/(q/(q**(-4)/q))*q**8) assuming q is positive.
q**(147/5)
Simplify (((x**20*x)/(x/x**(-12)*x*x*x))/(x/(x*x**14*x))**(-29))**(8/5) assuming x is positive.
x**(-688)
Simplify (d**(-5)/d)**(3/7)/(d**(-2/9)*d**(-45/7)*d) assuming d is positive.
d**(194/63)
Simplify ((t/(t/t**8)*t*t)/t**(3/2))/(t**(-3/10)*(t*t**(-6/7)*t)/t)*((t/t**(-1/2))**(2/41))**(-32) assuming t is positive.
t**(9063/1435)
Simplify ((c/(c*c**(2/7)*c))/c**(-6))**19/(c**0/(c*c**(2/9)))**(-9) assuming c is positive.
c**(550/7)
Simplify (x**4*x**(-2/5))**(-1/37)*(x**(-2/3)*x/(x*x**(-3)))**5 assuming x is positive.
x**(6421/555)
Simplify ((s/(s*s*s**0))**8*(s**(-2/29)/s)/s**(-6))/((((s*s/s**(-3/2))/s)/s**9)/(s*s/((s**(-8)*s)/s)*s**4)) assuming s is positive.
s**(1011/58)
Simplify (n/((n**3*n)/n)*n*n*n/(n**5*n))/(n*n/(n*n**1)*n*n)**(9/8)*(n**(-7)/(n*(n**(-2/3)*n)/n))**12 assuming n is positive.
n**(-381/4)
Simplify ((i**(-2/5)/i)**47)**(-1/23)/((i/(i**(2/3)/i*i))/i**(-1/2)*i**6*i/(i*i*i**(-1)*i)) assuming i is positive.
i**(-2051/690)
Simplify (o*o**(6/7)*o**(-2))/(o**(-1)*o*o)**(-32)*(o**(2/3))**(5/7)/(o/(o**(1/3)*o))**(1/72) assuming o is positive.
o**(6985/216)
Simplify ((z**(-1)*z*z)**(-14/11))**(-15)/((z*z**5*z**(-6)*z*z)/(z/z**(-1/2)*z**(2/11)*z)) assuming z is positive.
z**(435/22)
Simplify ((p*p**(-1/3))/(p*(p**(-1)/p)/p))/((((p**3/p)/p)/p)/p**(-1))*(p**(1/3)*p*p**4)**30 assuming p is positive.
p**(485/3)
Simplify ((q/q**(-4/9)*q**(4/3))/(q*q**0)**(-8))/(q**(-1/4)/(q*q**(-5)*q))**(11/6) assuming q is positive.
q**(413/72)
Simplify (y**(-11/2)/(y**(-2/63)/y)*y**28/y**(-3/5))**(-1/10) assuming y is positive.
y**(-15203/6300)
Simplify (v/v**40)**6*v**44*v**(-1/9)*v assuming v is positive.
v**(-1702/9)
Simplify ((k**10/(k/(k/(k**(-1)/k))))/(k**(-3)*k*k**4))**(-32) assuming k is positive.
k**(-320)
Simplify (z**(-4/3)/(z*z*(z*(z*(z**(-9)/z)/z*z*z)/z*z)/z))**(11/7)/(z**(2/5)/(z*(z*z**10*z)/z))**(-26) assuming z is positive.
z**(-4414/15)
Simplify ((((c/(c/(c/(c**(-27)*c))))/c)/c*c*c)**26/(((c**(3/22)*c)/c)/c**(-6)))**(-22) assuming c is positive.
c**(-15309)
Simplify m**(-27/2)*m**(-27)*(m**(-24))**(-3/2) assuming m is positive.
m**(-9/2)
Simp
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
640
What is the cube root of 364088053 to the nearest integer?
714
What is the square root of 165594525 to the nearest integer?
12868
What is the square root of 211695304 to the nearest integer?
14550
What is 209975672 to the power of 1/3, to the nearest integer?
594
What is 1053866967 to the power of 1/2, to the nearest integer?
32463
What is 27745846 to the power of 1/10, to the nearest integer?
6
What is the square root of 708518772 to the nearest integer?
26618
What is the cube root of 34269692 to the nearest integer?
325
What is the third root of 210485078 to the nearest integer?
595
What is 530773628 to the power of 1/7, to the nearest integer?
18
What is the square root of 2140196341 to the nearest integer?
46262
What is 1940062701 to the power of 1/4, to the nearest integer?
210
What is the cube root of 952905329 to the nearest integer?
984
What is the seventh root of 916588689 to the nearest integer?
19
What is the seventh root of 5510371 to the nearest integer?
9
What is the square root of 218127987 to the nearest integer?
14769
What is 83205756 to the power of 1/6, to the nearest integer?
21
What is the ninth root of 841482782 to the nearest integer?
10
What is the cube root of 4116934179 to the nearest integer?
1603
What is 626942314 to the power of 1/2, to the nearest integer?
25039
What is the square root of 1139382729 to the nearest integer?
33755
What is the square root of 2432591172 to the nearest integer?
49321
What is 1956438103 to the power of 1/2, to the nearest integer?
44232
What is 99007893 to the power of 1/4, to the nearest integer?
100
What is the tenth root of 242987532 to the nearest integer?
7
What is the square root of 21806455 to the nearest integer?
4670
What is 17462571 to the power of 1/2, to the nearest integer?
4179
What is the square root of 322462327 to the nearest integer?
17957
What is the eighth root of 53142344 to the nearest integer?
9
What is 114674188 to the power of 1/9, to the nearest integer?
8
What is 412113385 to the power of 1/2, to the nearest integer?
20301
What is the square root of 31392357 to the nearest integer?
5603
What is 693581026 to the power of 1/2, to the nearest integer?
26336
What is the square root of 45013839 to the nearest integer?
6709
What is the cube root of 70283865 to the nearest integer?
413
What is 92215792 to the power of 1/5, to the nearest integer?
39
What is the cube root of 21987872 to the nearest integer?
280
What is the square root of 74368407 to the nearest integer?
8624
What is 3589651 to the power of 1/2, to the nearest integer?
1895
What is the cube root of 392956755 to the nearest integer?
732
What is 299314566 to the power of 1/2, to the nearest integer?
17301
What is the square root of 692673642 to the nearest integer?
26319
What is 6046991306 to the power of 1/3, to the nearest integer?
1822
What is 128164014 to the power of 1/6, to the nearest integer?
22
What is 40852025 to the power of 1/10, to the nearest integer?
6
What is the square root of 869674738 to the nearest integer?
29490
What is 149562 to the power of 1/4, to the nearest integer?
20
What is the seventh root of 344286070 to the nearest integer?
17
What is the square root of 504081064 to the nearest integer?
22452
What is 706275569 to the power of 1/2, to the nearest integer?
26576
What is 62881047 to the power of 1/4, to the nearest integer?
89
What is the third root of 26448341 to the nearest integer?
298
What is the third root of 4117608286 to the nearest integer?
1603
What is 3440980397 to the power of 1/3, to the nearest integer?
1510
What is the third root of 628168659 to the nearest integer?
856
What is 159627983 to the power of 1/3, to the nearest integer?
542
What is 107159225 to the power of 1/3, to the nearest integer?
475
What is 16028969 to the power of 1/4, to the nearest integer?
63
What is 99144431 to the power of 1/3, to the nearest integer?
463
What is the eighth root of 30545880 to the nearest integer?
9
What is the square root of 1079502633 to the nearest integer?
32856
What is 150201930 to the power of 1/2, to the nearest integer?
12256
What is 432237171 to the power of 1/6, to the nearest integer?
27
What is the square root of 431897942 to the nearest integer?
20782
What is 60253575 to the power of 1/2, to the nearest integer?
7762
What is 349470801 to the power of 1/9, to the nearest integer?
9
What is the third root of 213360424 to the nearest integer?
598
What is the square root of 764675340 to the nearest integer?
27653
What is 21992302 to the power of 1/7, to the nearest integer?
11
What is the cube root of 285170759 to the nearest integer?
658
What is the cube root of 2401401425 to the nearest integer?
1339
What is the cube root of 76014243 to the nearest integer?
424
What is the seventh root of 848478556 to the nearest integer?
19
What is the third root of 980839524 to the nearest integer?
994
What is the fifth root of 1087248265 to the nearest integer?
64
What is 23454484 to the power of 1/4, to the nearest integer?
70
What is 11110737 to the power of 1/2, to the nearest integer?
3333
What is the third root of 907885878 to the nearest integer?
968
What is 4822625202 to the power of 1/9, to the nearest integer?
12
What is the fifth root of 3689028510 to the nearest integer?
82
What is the eighth root of 89194271 to the nearest integer?
10
What is the sixth root of 642652900 to the nearest integer?
29
What is 1006789822 to the power of 1/2, to the nearest integer?
31730
What is the square root of 1288113006 to the nearest integer?
35890
What is the cube root of 445165466 to the nearest integer?
764
What is 122369936 to the power of 1/3, to the nearest integer?
496
What is 331935165 to the power of 1/3, to the nearest integer?
692
What is the third root of 3506896469 to the nearest integer?
1519
What is the square root of 4877320003 to the nearest integer?
69838
What is 900787113 to the power of 1/5, to the nearest integer?
62
What is 634767757 to the power of 1/2, to the nearest integer?
25195
What is the square root of 189301091 to the nearest integer?
13759
What is the tenth root of 3341732220 to the nearest integer?
9
What is 3582509146 to the power of 1/10, to the nearest integer?
9
What is the square root of 3947139280 to the nearest integer?
62826
What is the seventh root of 60663183 to the nearest integer?
13
What is 1943632455 to the power of 1/8, to the nearest integer?
14
What is 46975592 to the power of 1/10, to the nearest integer?
6
What is the fifth root of 274564469 to the nearest integer?
49
What is 5356852849 to the power of 1/8, to the nearest integer?
16
What is the cube root of 4205656221 to the nearest integer?
1614
What is 2326691363 to the power of 1/6, to the nearest integer?
36
What is the square root of 139876484 to the nearest integer?
11827
What is the square root of 17159987 to the nearest integer?
4142
What is 421574971 to the power of 1/6, to the nearest integer?
27
What is the fourth root of 57580039 to the nearest integer?
87
What is 1089644242 to the power of 1/3, to the nearest integer?
1029
What is 337203973 to the power of 1/8, to the nearest integer?
12
What is 4262085882 to the power of 1/3, to the nearest integer?
1621
What is the square root of 1634668296 to the nearest integer?
40431
What is the cube root of 4474109124 to the nearest integer?
1648
What is 332604586 to the power of 1/7, to the nearest integer?
16
What is 160581138 to the power of 1/2, to the nearest integer?
12672
What is the square root of 980157804 to the nearest integer?
31307
What is the third root of 26816721 to the nearest integer?
299
What is 176110698 to the power of 1/2, to the nearest integer?
13271
What is the cube root of 1980723923 to the nearest integer?
1256
What is the tenth root of 2366906852 to the nearest integer?
9
What is 29520489 to the power of 1/10, to the nearest integer?
6
What is 440694237 to the power of 1/2, to the nearest integer?
20993
What is the third root of 35724525 to the nearest integer?
329
What is 1249270930 to the power of 1/9, to the nearest integer?
10
What is the ninth root of 3174410246 to the nearest integer?
11
What is the seventh root of 104101661 to the nearest integer?
14
What is the tenth root of 49
|
{
"pile_set_name": "DM Mathematics"
}
|
*3/3 + w**2 - 28*w. Calculate d(3).
-1
Let m(w) = w**3 - 10*w**2 + 12*w - 21. Let q be m(9). Let f(i) = -i**2 + 8*i - 8. Determine f(q).
4
Suppose 0 = -r + 5*w + 8, 5*r + 5*w - 10 = 0. Let a(i) = i**2 + 3*i**2 - i**r - 4 + 6. Determine a(4).
2
Suppose j - 4 = 3*l + 9, 4*l + 14 = j. Let y = -6 + j. Let r(h) be the first derivative of -h**3/3 + 3*h**2 - 3*h + 2. Calculate r(y).
5
Let v(c) = 3*c**2 + c - 1. Suppose 4 = -2*q - 0*q. Let w(n) = -13*n**2 - 5*n + 5. Let y(x) = q*w(x) - 9*v(x). Calculate y(3).
-7
Let v(p) be the first derivative of -p**2/2 + 2*p - 7. What is v(-5)?
7
Let j(u) be the second derivative of -u**3/6 + 7*u**2/2 + 6*u. Give j(-5).
12
Let g(y) = -y**3 - 8*y**2 + 9*y - 2. Let z be g(-9). Let d(k) = k**2 - k - 1. Determine d(z).
5
Let s(d) be the first derivative of d**2/2 - 3. Let m(x) = 2*x. Let f(l) = -3*m(l) + 2*s(l). What is f(-1)?
4
Let m(d) = -662 + 658 - d - 4*d + 2*d**2. Calculate m(4).
8
Let d(b) = -b - 3. Let m be d(-2). Let n(g) = 6*g + 8. Let j(s) = -s - 1. Let q(f) = m*n(f) - 8*j(f). Let u be 2/(-4)*(-3 + 7). Determine q(u).
-4
Suppose 4*q = q. Suppose -3*d - 12 = -q. Let r(y) = y + 1. What is r(d)?
-3
Let a = 28 + -18. Let d(n) = -a*n + 4 + 17*n - 10*n. Calculate d(5).
-11
Let n(c) = 156*c + 160*c - 4 - 315*c. Calculate n(5).
1
Let b(w) = 3 + 4*w + 3 - 7. Give b(1).
3
Let v(s) = -4*s - 5. Let q be 8/(-28) - (-60)/14. Let w(p) = 5 + q - 3 + p - 4. Let m(d) = -2*v(d) - 7*w(d). Give m(-5).
-9
Let u = -4 - -6. Suppose -7 = u*m + 5. Let l(i) be the second derivative of i**4/12 + i**3 + 5*i**2/2 + 2*i. Give l(m).
5
Let h be (1 - 5)/(-2*1). Let t(m) = -m**2 + h*m - 2 - 1 - 2*m**2 + m**3. Calculate t(2).
-3
Let f(y) be the third derivative of -y**5/60 - y**4/4 + y**3/2 - 11*y**2. What is f(-4)?
11
Let c(v) be the third derivative of v**4/24 + v**3/6 + 3*v**2. Determine c(-6).
-5
Let u be 11/2 - 2/4. Let g(r) be the first derivative of r**2/2 - 10*r - 13. Calculate g(u).
-5
Let k(r) = r**2 + 2*r. Suppose -3*v - 2 = 7. Determine k(v).
3
Let s = 5 - 2. Let u(i) = -7*i - i**s + 0*i**3 + 5*i**2 + 0*i**3 + 4. What is u(4)?
-8
Let r(i) = 3*i**3 + 6*i**2 - 3*i - 6. Let z(j) = j**3 + j**2 - j - 1. Let u(g) = -r(g) + 2*z(g). Let o = 3 + -6. Determine u(o).
-8
Let c(a) be the first derivative of -a**4/4 + a**2/2 - 3*a + 1. Suppose -2*w = 2*w. Determine c(w).
-3
Let j(t) = -t + 6. Let v be j(6). Let x(i) = -2 + 4*i + v - 5 + i**2. Calculate x(-6).
5
Let a(f) = 4*f - 1. Let r be (8 - 5)/(2/6). Suppose 4*n - n = r. Give a(n).
11
Let h(f) = -f**3 + 3*f**2 + 4*f. Let a be (-5)/10 + 18/4. Determine h(a).
0
Let c(t) = -6*t - 2*t**2 + 3*t**2 - 43 + 38. Calculate c(7).
2
Let y(k) = -k**2 - 5*k - 3. Suppose 0 = 2*s + 3*v - 0*v + 12, 3*s + 18 = -5*v. Give y(s).
-9
Let v(w) be the first derivative of -w**5/60 - w**4/8 - w**2/2 - 1. Let i(b) be the second derivative of v(b). Calculate i(-5).
-10
Let f = -21 + 28. Let d(g) = -g**3 + 8*g**2 - 6*g - 9. Determine d(f).
-2
Let w be 4/10 + 115/25. Let a(z) = -z**2 + 6*z - 6. What is a(w)?
-1
Let k(n) = n**2. Let v = 17 - 14. Suppose 1 = v*x - 2*x. Give k(x).
1
Let x(g) = g**3 - 3*g**2 - 6*g + 1. Suppose -c + 1 = 0, 5*w - 5*c = 9 + 6. Determine x(w).
-7
Let n(f) = 7*f**2 - 4*f + 5. Let p(s) = 13*s**2 - 7*s + 9. Let t(x) = -11*n(x) + 6*p(x). What is t(1)?
2
Let k = 0 - -4. Let x = -2 - k. Let a(l) = -l**2 - 6*l - 1. Calculate a(x).
-1
Let g be (12/9)/(6/(-27)). Let i(h) = -h - 7. Determine i(g).
-1
Let d(g) = -g + 4. Let c = 0 + 3. What is d(c)?
1
Suppose l + 5 = 0, -7*u = -6*u - 2*l - 13. Let g(h) = 5*h + 4*h**2 + 4 + h**2 - h**2 + h**u. Calculate g(-3).
-2
Let o(q) = 2*q**3 - 5*q**2 + 5*q - 4. Let l be (-18)/(-15)*10/4. Give o(l).
20
Let s(a) = 4 - 1 - 4*a - 1 - 3. Let z(q) = -5*q. Let w(t) = -4*s(t) + 3*z(t). Give w(-5).
-1
Let o(j) = -4 + 3 - 4*j + 3 - 1. What is o(1)?
-3
Let k(z) = -6*z - 4*z + 14*z - 6*z. Determine k(6).
-12
Let g(y) = 1. Let m(k) = 2*k**2 - k. Let v be m(-1). Let u(n) = v*n - 5 + n - 5*n. Let z(d) = 4*g(d) + u(d). Give z(0).
-1
Let m(o) = o + 2. Let z be m(5). Let v(y) = z + 6*y + 9*y + y**2 - 7*y. Suppose 3*g + 5 = 2*x - 2*g, -5*g = -3*x. Calculate v(x).
-8
Let n(a) = -6*a**2 + 3*a - 3. Suppose -12*q + 14*q - 4 = 0. Give n(q).
-21
Let n be (-4)/10 - 16/10. Let g(p) = p - 2. Let m(c) = -1. Let x(w) = 3*g(w) - 6*m(w). Determine x(n).
-6
Let s(f) = f**2 + 6*f + 5. Let l(u) = -u**2 - 9*u - 8. Let p(h) = 5*l(h) + 8*s(h). Calculate p(-2).
6
Let p be (-4)/22 + (-168)/44. Let u(o) = 11*o**2 + 26*o + 17. Let g(x) = -7*x**2 - 17*x - 11. Let q(h) = -8*g(h) - 5*u(h). Determine q(p).
-5
Let u(k) be the second derivative of -k**3/6 + 7*k**2/2 - 25*k. What is u(7)?
0
Let a(q) be the second derivative of q**5/20 + q**4/12 - q**2/2 - 3*q. Determine a(-2).
-5
Let x(g) = g**3 - 4*g**2 + 4*g - 4. Let c be x(3). Let p = c + 1. Let z(w) be the first derivative of w**4/4 + w**3/3 + w**2/2 + 4*w + 85. Determine z(p).
4
Let j = -8 + 13. Let g(a) be the first derivative of a**4/4 - 2*a**3 + 5*a**2/2 + a - 5. What is g(j)?
1
Let b(o) = 4*o + 4. Let d(g) = 4*g + 5. Let k(i) = -i**3 + i**2 + 2*i - 4. Let q be k(2). Let c(f) = q*d(f) + 5*b(f). Calculate c(-4).
-16
Let h = -23 + 22. Let k(j) = j**2 + j + 1. What is k(h)?
1
Let z(a) = 2*a**3 - 33*a**2 + 15*a + 18. Let x be z(16). Let h(m) be the first derivative of 3*m - 1/3*m**3 + 1 + 1/2*m**x. Give h(4).
-9
Let b(k) = 17 + 11 - k - 26. Determine b(6).
-4
Let c(x) = 2*x + 4 - 5 + 5 + 0. Suppose 0 = -s - 2 - 3. Give c(s).
-6
Let c(j) = j**2 + j + 1. Let u(a) = a**3 - 5*a**2 + 3*a - 6. Let s(g) = -c(g) - u(g). Determine s(4).
-11
Let x(l) = l**3 + 5*l**2 + 5*l + 2. Suppose 3 = 7*w - 4*w + 3*v, -2 = 2*w - 2*v. Suppose 18 = -6*p - w*p. Determine x(p).
5
Let y(n) = -2*n**2 + 2*n. Let t = -4 - -6. Suppose l + t = -0. Calculate y(l).
-12
Suppose 5*c - 13 = 3*w, -w + 0*w = -4*c + 9. Suppose 5*x + 7 = c. Let m(v) = 12*v**2 + 2*v**2 + 2*v + 2 - 1. Determine m(x).
13
Let l(w) be the third derivative of -w**8/20160 - w**7/1260 + 7*w**6/720 - w**5/60 - 3*w**2. Let d(f) be the third derivative of l(f). Give d(-5).
2
Let u(b) = -b**2 + 10*b - 5. Let j(p) = -p**3 + 3*p**2 + 5*p - 6. Let y be j(3). Determine u(y).
4
Let q(f) = 19*f - 33*f + 5 + 16*f. Give q(-6).
-7
Let d(j) = j**2 + 4*j + 1. Let p be d(-4). Let w be (0 - 2 - -2)*p. Suppose w = h + 5*r + 6, -3*h + 5*r + 23 - 1 = 0. Let i(x) = -x - 2. What is i(h)?
-6
Let m(z) be the second derivative of z**5/20 - 5*z**4/12 + z**3/3 - z**2/2 - 6*z. What is m(5)?
9
Let x = -2 + 2. Suppose -2*q - 22 = 5*p, x = -3*q - 2*p - 7 - 15. Let s(i) = -i**3 - 7*i**2 - 7*i - 5. Let l be s(q). Let y(h) = 8*h + 1. Determine y(l).
9
Suppose -4*f - 5*r = -30, -2*r - 21 = 3*f - 8*f. Let a = f - 3. Let x(j) = 0*j**a + j + j**2 + 2 + 4*j. Determine x(-3).
-4
Suppose 4*j = m + 27, -3*m - 15 = -6*m. Suppose -j = -i - 5. Let f(t) = -t**2 + 4*t - 2. Calculate f(i).
1
Let w(s) = -s**2 + 7*s + 7. Let b = 40 + -32. Give w(b).
-1
Let k(d) = -d**3 + 1. Let y = -10 - -6. Let x be 7/(-28) + (-2)/(-8). Let f be 3 - x - (-2 - y). Give k(f).
0
Let h(o) be the second derivative of -o**3/6 - 5*o**2 + o. Let q = 9 - 5. Suppose q*c - 5*w = -15, -3*c + w - 5*w - 19 = 0. Calculate h(c).
-5
Let j(i) = i**3 - 4*i**2 - 7*i + 7. Suppose 0 = -p + l + l + 3, p - 4*l = 1. Suppose p = m + 3. Let q be m - 0 - (-5 - -2). Calculate j(q).
-3
Let m(j) be the first derivative of -5*j**2/2 + j + 4. Suppose -5*u - 27 = -3*k - u, 4*k - 5*u = 35. Suppose k*q = 5 - 0. Determine m(q).
-4
Let s(j) = j**3 - 2*j**2 + j + 2. Let y be (-2)/(-2) - -2 - -2. Suppose -y*n + 6 = -4. Give s(n).
4
Let v(q) = q + 5. Let z(k) = 4*k**3 + 3*k**2 + k + 1. Let l be z(-2). Let g be 132/l + 2/7. What is v(g)?
-1
Let g(q) = q**3 - q**2 - 17*q + 17. Let f be g(4). Let j(h) = -9*h**2 - 23*h - 1. Let b(x) = 3*x**2 + 8*x. Let v(w) = -8*b(w) - 3*j(w). What is v(f)?
15
Suppose -2*k + 3*w - 7 - 1 = 0, -2*k = 5*w - 24. Let v(f) = k + 2*f + f**2 - 5 - 2*f**2. What is v(3)?
-6
Let u(j) = -2*j - 1. Let g be u(-2). Let b(a) = 3 - g - 2 + 3*a + 1. What is b(-2)?
-7
Let r be 172/10 + 5/(-25). Let b = r + -12. Let n(t) = t - 5. Determine n(b).
0
Let k(h) = h - 1. Let a(f) = -3*f + 3. Let r(b) = 6*a(b) + 17*k(b). Calculate r(9).
-8
Let c(n) = -n - 2. Let o(k) = 3*k + 5. Suppose 0*f + 3*r - 17 = -f, -5*f - 5*r = -65. L
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let i(r) = 6*r**3 + 0*r + r**2 - 2 - 2*r - 10*r**3. Determine b*i(c) - 2*z(c).
2*c**3 - c**2 + 2*c
Let g be (-12)/(-1)*-3*(-10)/360. Let b(v) = v + 3. Let u(t) = 7*t + 7. Let j(i) = -15*i - 15. Let h(f) = -6*j(f) - 13*u(f). Determine g*h(o) - b(o).
-2*o - 4
Let q(d) = -d - 1. Let l be (6/12)/((-2)/(-8)). Let r(j) = 4*j + 1. Let u = -339 - -340. Calculate l*q(y) + u*r(y).
2*y - 1
Let b(z) = 2*z**2 + 6*z + 5. Let q be (-1)/(10 + (-9)/1). Let c(u) = -u**2 - u - 1. Give q*b(y) - 5*c(y).
3*y**2 - y
Let a(m) = 36*m**3 - 11*m + 21. Let l(h) be the third derivative of -7*h**6/120 + h**4/12 - 2*h**3/3 - 3*h**2 - h. Determine -2*a(v) - 11*l(v).
5*v**3 + 2
Let j(p) = -95*p + 35. Suppose 8*q + 3*g - 3 = 4*q, -4*q - 5*g = 3. Let m(d) = 8*d - 3. What is q*j(k) + 35*m(k)?
-5*k
Let r(c) = -c**2 + c. Let q(v) = 6*v**2 - 160*v. Give q(x) + 4*r(x).
2*x**2 - 156*x
Let h(z) = -8*z**2 - z - 2. Let v be (2 - -1)/((-12)/(-20)). Let k(r) = -7*r**2 - r - 2. Determine v*k(n) - 4*h(n).
-3*n**2 - n - 2
Let y(m) = -102*m**2 + 21*m - 30. Let l(v) = -10*v**2 + 2*v - 3. Determine 63*l(n) - 6*y(n).
-18*n**2 - 9
Let z(f) = f**2. Let k(t) = -2*t - 2*t**3 + 0*t**2 + 4*t**3 - 6*t**2. Let a = 7 + -293. Let i = -280 - a. Give i*z(p) + k(p).
2*p**3 - 2*p
Let m(a) = 10*a. Let n(c) = -4*c + 0*c + 7*c. Calculate -2*m(v) + 7*n(v).
v
Let g(w) be the third derivative of -7*w**5/60 - w**4/4 - 7*w**3/6 + 51*w**2. Let u(v) = 8*v**2 + 7*v + 8. Calculate 7*g(i) + 6*u(i).
-i**2 - 1
Let f(d) = 8539*d - 8536*d - 2 - 5 + 3. Let j(x) = 6*x - 9. Let l be (-2)/7 - 46/(-14). Let n be 21*(-3)/(-18)*-2. Calculate l*j(y) + n*f(y).
-3*y + 1
Let s(r) = -32*r**3 + 3*r**2 + 3*r - 3. Let x(k) = -608*k**3 + 56*k**2 + 56*k - 56. What is 56*s(f) - 3*x(f)?
32*f**3
Let r(q) = 14*q**3 + 248*q**2 - 34*q + 17. Let v(p) = -5*p**3 - 82*p**2 + 12*p - 6. Calculate -6*r(y) - 17*v(y).
y**3 - 94*y**2
Let n(a) be the third derivative of a**5/15 + a**4/12 - 2*a**3/3 - 520*a**2 + 1. Let p = -4 - -6. Let s(l) = 3*l**2 + 2*l - 3. Calculate p*n(o) - 3*s(o).
-o**2 - 2*o + 1
Let l(d) = -4*d**2 - 2*d - 1. Let p(n) = -2*n**2 - 2*n + 5. Let a(b) = -b**2 - 2*b + 7. Let w(i) = -3*a(i) + 4*p(i). Calculate -4*l(s) + 3*w(s).
s**2 + 2*s + 1
Let u(x) = 5*x**3 + 37 - 7*x**2 - 18 - 13 + 11*x. Let r(b) = 3*b**3 - 4*b**2 + 6*b + 3. Give -7*r(j) + 4*u(j).
-j**3 + 2*j + 3
Let s(a) = 9*a - 9. Let n = 497 + -492. Let o(h) = 2*h - 2. Give n*s(d) - 21*o(d).
3*d - 3
Let d(q) = -20*q**2 + 17*q + 6. Suppose -3*p + 26 = 8. Let c(i) be the second derivative of -7*i**4/12 + i**3 + i**2 + 12*i + 4. Give p*d(j) - 17*c(j).
-j**2 + 2
Let z(r) = -2*r**2 - 17*r - 10. Let m(t) = -t**2 - 9*t - 5. Give -5*m(x) + 3*z(x).
-x**2 - 6*x - 5
Let t(r) = -19*r + 13. Let l(a) = -3*a + 29 - 17 - 10. Determine -39*l(u) + 6*t(u).
3*u
Let r(t) = -4*t + 3. Let w(z) = 14 - 3*z - 13 + 2*z. Suppose 0 = -4*o - 0*o + 4*l, -21 = 5*o + 2*l. Suppose 0 = 4*m - 2 - 2. Calculate m*r(q) + o*w(q).
-q
Let n(q) = -9*q**3 - 33*q**2 - 22*q - 11. Let t(x) = 3*x**3 + 11*x**2 + 8*x + 4. Calculate -4*n(p) - 11*t(p).
3*p**3 + 11*p**2
Let v(d) = -80*d**2 + 8*d + 8. Let r(f) = f + 1. Calculate 8*r(s) - v(s).
80*s**2
Let c(z) = 5*z**3 - 3*z**2. Suppose -4*n = -6*n + 12. Suppose -n*l - 16 = 8. Let f = 1 + l. Let o(t) = 2*t**3 - t**2. Determine f*c(g) + 7*o(g).
-g**3 + 2*g**2
Let u(j) = -2*j + 7. Let m be u(2). Suppose 5*q - m*x = -9 - 5, -2*q - 3*x = -7. Let o(b) = 5*b + 3. Let r(c) = -c - 1. What is q*o(h) - 3*r(h)?
-2*h
Let n(h) = 469*h**3 + 12*h**2 - 4*h. Let o(p) = -468*p**3 - 10*p**2 + 3*p. Calculate 5*n(u) + 6*o(u).
-463*u**3 - 2*u
Let c(d) = 10*d**3. Let z(x) be the third derivative of -x**6/60 + 17*x**2 + 2. Determine 2*c(p) + 11*z(p).
-2*p**3
Let w(n) = -n**2 + 5*n + 2. Let z = -216 + 215. Let d(b) = -b**2 + b. Calculate z*w(g) + 4*d(g).
-3*g**2 - g - 2
Let w(s) = s**2 - 7*s - 3. Let l be w(8). Let x(d) = -1 - 5 + 3*d + 5 - l. Let y(q) be the third derivative of -q**4/24 + q**3/6 + 2*q**2. Give x(t) + 6*y(t).
-3*t
Let x(b) be the third derivative of 7*b**5/60 + b**4/4 + b**3 + 425*b**2. Let p(w) = -15*w**2 - 13*w - 13. What is 6*p(f) + 13*x(f)?
f**2
Let n(y) = -y**3 + 5*y**2 + 16*y - 6. Let m(b) = 2*b**3 - 6*b**2 - 18*b + 7. Let a(f) = 6*m(f) + 7*n(f). Let x(u) = u**3 + u. Calculate a(s) - 2*x(s).
3*s**3 - s**2 + 2*s
Let n(h) = h. Let t(k) be the second derivative of -k**3/3 + k**2/2 + 2*k. Let a = 369 - 371. Determine a*t(u) - 3*n(u).
u - 2
Let w(r) = -20*r**2 + 12*r - 12. Let f(h) be the second derivative of -h**4/12 + h**3/6 - h**2/2 + h - 259. Give 12*f(g) - w(g).
8*g**2
Let s(w) = w - 3. Let i(z) = 6*z - 127. Calculate i(n) - 5*s(n).
n - 112
Let r(q) = 3*q**3 + 8*q**2 + 4*q + 8. Let p(w) = 455*w**2 + 3*w - w**3 + 5 + 3*w**3 - 450*w**2. What is -8*p(o) + 5*r(o)?
-o**3 - 4*o
Let r(y) = -y. Let s(u) = 9*u. Let i(w) = -w**3 - 4*w**2 + 5*w - 1. Let m be i(-5). Let a = -258 + 252. Calculate a*r(h) + m*s(h).
-3*h
Let c(d) = 8*d**2 - 4*d - 5. Let m(h) = 13*h**2 - 7*h - 10. Let s(i) = -7*c(i) + 4*m(i). Let u(l) = -l**2 + 1. Calculate -s(y) - 5*u(y).
9*y**2
Let u(d) = -d - 3. Suppose -107*b + 102*b - 15 = 0. Let l(r) be the first derivative of r**2 + 8*r - 1. What is b*l(n) - 8*u(n)?
2*n
Let j(i) = -i + 13. Let z(q) = q + 14. Determine 4*j(n) - 3*z(n).
-7*n + 10
Let l(o) = 6*o**3 + 7*o + 2. Let g(r) = -9*r**3 - 5*r**2 + 8*r + 7. Let s(n) = -6*n**3 - 3*n**2 + 4*n + 4. Let t(a) = 3*g(a) - 5*s(a). What is -4*l(u) + 7*t(u)?
-3*u**3 - 1
Let x(q) = -3*q**2 - 6*q - 6. Let h(p) = 3*p**2 + 6*p + 7. Give 6*h(r) + 7*x(r).
-3*r**2 - 6*r
Let p(x) = -17*x**2 + 2*x - 7. Let z(m) = -33*m**2 + 5*m - 15. Calculate 7*p(c) - 3*z(c).
-20*c**2 - c - 4
Let f(z) = 46*z + 4. Let t(u) = 92*u + 7. What is 5*f(x) - 3*t(x)?
-46*x - 1
Let k(c) = -2*c - 5 + 3 - 5 + 3 + 0. Let q(h) = -2*h - 5. Let x be (3/2)/((-1)/2). Calculate x*q(a) + 4*k(a).
-2*a - 1
Let a(q) = 48*q**2 - 36*q + 36. Let x(n) = n**2 - 23*n - 16. Let y(p) = -p**2 + 11*p + 7. Let w(v) = 6*x(v) + 13*y(v). What is -5*a(z) - 36*w(z)?
12*z**2
Let u(q) = 720*q**2 - 5*q. Let i(l) = 359*l**2 - 2*l. What is -5*i(z) + 2*u(z)?
-355*z**2
Let v(i) = -i**2 - 1. Let b(z) = -10*z**2 + 2*z - 5. Calculate b(x) - 6*v(x).
-4*x**2 + 2*x + 1
Let x(l) = 7*l**2 - 5*l. Let w = 769 + -764. Let y(a) be the second derivative of 0 + 1/3*a**3 + 2*a + 0*a**2 - 1/4*a**4. Give w*y(n) + 2*x(n).
-n**2
Let b(d) be the first derivative of 2*d - 1/2*d**2 + 3. Let h(q) = -3*q + 4. Give -5*b(n) + 2*h(n).
-n - 2
Let s(k) = 8*k - 1. Let h(g) = -32*g + 1 + 50*g - 27*g. What is -5*h(v) - 6*s(v)?
-3*v + 1
Let u be 3/2*(33/9 + -5). Let d(h) = -h**2 - 3. Let l(o) = -6 - 2*o**2 - o + o. Let v(s) = u*l(s) + 5*d(s). Let g(y) = 2*y**2 + 5. Calculate -3*g(f) - 5*v(f).
-f**2
Let i(s) = -7*s**2 + 5*s - 2. Let n(m) be the third derivative of m**5/60 - m**4/24 + m**3/6 - 209*m**2. What is -i(a) - 5*n(a)?
2*a**2 - 3
Let j(c) = c**2 - 2*c. Let w(o) = 4*o**2 - 15*o - 4. Determine -5*j(s) + w(s).
-s**2 - 5*s - 4
Let a(f) = -7*f**2 + 3*f - 3. Let r(o) = 6*o**2 - 4*o - 1 - 7*o + 3 + 9*o. What is -2*a(w) - 3*r(w)?
-4*w**2
Let b(j) = 3*j**3 + 3. Let u(y) = -12*y**3 + y - 14. Calculate -9*b(a) - 2*u(a).
-3*a**3 - 2*a + 1
Let s(n) = 9*n**3 - 5*n**2 - 2. Let o(z) = -5*z**3 + 3*z**2 + 1. Suppose -i + 13 - 17 = 2*m, 3*m = -15. Give i*s(b) + 11*o(b).
-b**3 + 3*b**2 - 1
Let h(g) = g**2 - 1. Let t(c) be the first derivative of 1/4*c**4 + 0*c + 0*c**2 + 2/3*c**3 - 11. What is -2*h(b) + t(b)?
b**3 + 2
Let v(j) = 1. Let k(f) = -5*f + 2. Suppose 8*i = 26 - 2. Suppose i*m + 6 = t, 2*m - t = -0*m - 5. Determine m*k(w) + 4*v(w).
5*w + 2
Let v(i) = 4*i + 16. Let t be v(-5). Let g(a) = a**3 - 6*a**2 + 4. Let u(x) = 2*x**3 - 7*x**2 + 5. Give t*u(q) + 5*g(q).
-3*q**3 - 2*q**2
Let b(s) = -12*s**2 - s - 4. Let q = -1415 - -1419. Let j(z) = 25*z**2 + 2*z + 9. Give q*j(x) + 9*b(x).
-8*x**2 - x
Let i(w) = 2*w + 1. Let x(t) = 16*t + 6. Give 2*i(n) - x(n).
-12*n - 4
Let x(k) = 2*k**3 - 5*k + 1. Let n(g) = 9*g**3 - 19*g + 4. Determine 6*n(d) - 26*x(d).
2*d**3 + 16*d - 2
Let l be ((-18)/(-54))/((-2)/(-126)). Suppose 6*c + c + l = 0. Let d(h) = 2*h**2 + 2*h - 5. Let f(p) = -4*p**2 - 3*p + 9. What is c*f(z) - 5*d(z)?
2*z**2 - z - 2
Let k = -2 - 0. Let n(w) = -2*w. Let d be n(-7). Let u(c) = 27*c + 18*c + c**2 - 1 - 46*c. Let m(f) = 6*f**2 - 7*f - 6. Gi
|
{
"pile_set_name": "DM Mathematics"
}
|
2. What is the third derivative of j(c) wrt c?
-42498
Let q(m) be the second derivative of 0*m**3 + 0 + 1/2*m**4 - 41*m**2 - 173*m. Differentiate q(b) wrt b.
12*b
Let t(r) be the first derivative of 0*r + 9/2*r**2 - 54 + 3*r**3. Find the second derivative of t(i) wrt i.
18
Let t(s) = 3*s**3 + 61*s**2 - s - 56. Suppose 25*g = 19*g - 6. Let i(v) = v**3 + v - 3. Let j(o) = g*i(o) + t(o). Find the second derivative of j(d) wrt d.
12*d + 122
Let j(q) be the third derivative of 19*q**7/210 + q**6/120 + 19*q**4/24 - 811*q**3 + q**2 - 7549*q. Differentiate j(k) wrt k.
76*k**3 + 3*k**2 + 19
Find the second derivative of 518*t**3 + 20 - 15*t - 4470793*t**2 + 4470793*t**2 wrt t.
3108*t
Suppose -265 = -6*i - 223. Let z = -389 + 592. Find the second derivative of -194*g**4 + 3*g + z*g**4 - i*g wrt g.
108*g**2
What is the second derivative of 10*j + 32 + 31 + 47 + 1201*j**2 + j - 89 wrt j?
2402
Let b be 1/6*-9*(-1 + 83). Let z = -111 - b. What is the first derivative of -8 - z - 4*d**4 - 1 - 21*d**4 wrt d?
-100*d**3
Let i be (7/3)/(9/27*1). What is the derivative of -14*p**3 + p - 17 + 4*p**3 - i wrt p?
-30*p**2 + 1
Let p(b) be the first derivative of 247*b**6/30 - 32*b**3 - 54*b - 178. Let w(t) be the first derivative of p(t). What is the second derivative of w(i) wrt i?
2964*i**2
Let d(f) be the first derivative of -f**6/6 - 12*f**5/5 - 285*f**2 + 1469. Find the second derivative of d(y) wrt y.
-20*y**3 - 144*y**2
Let j(z) = -21*z**4 - 11*z**2 + 309*z + 4. Let i(g) = g. Let b(n) = -i(n) - j(n). What is the second derivative of b(q) wrt q?
252*q**2 + 22
Let l be (-6)/(2*(-12)/(-16)) + 13. Find the second derivative of -l*u - 267*u**2 + 260*u**2 + 3*u wrt u.
-14
Let w(q) be the second derivative of q**8/56 + 62*q**7/21 + 230*q**4/3 - 2078*q. What is the third derivative of w(f) wrt f?
120*f**3 + 7440*f**2
Let t(x) = 5952*x**3 - 36*x**2 - 7750*x. Let w(n) = 1488*n**3 - 8*n**2 - 1938*n. Let s(c) = 2*t(c) - 9*w(c). Find the second derivative of s(j) wrt j.
-8928*j
Let y(q) = -q**3 - 23*q**2 - 42*q. Let t be y(-21). What is the derivative of 75 + 14*f**2 - 65 + 44 + t*f**2 wrt f?
28*f
Find the third derivative of 1955*g**6 - 6573*g**2 + 3029*g**2 + 2670*g**2 wrt g.
234600*g**3
What is the second derivative of -455*t + 5353*t**5 + 4655 + 8505*t**5 - 4663 wrt t?
277160*t**3
Let l(v) = -1083*v**3 + v**2 - 211*v - 2. Let a(w) = 3249*w**3 - 2*w**2 + 634*w + 7. Let x(d) = 2*a(d) + 7*l(d). What is the third derivative of x(s) wrt s?
-6498
Find the third derivative of 3656*w**6 + 0*w**4 - 1003*w**6 + 348*w**2 - 2*w + 1231*w**6 + 0*w**4 wrt w.
466080*w**3
Let t(h) = 5*h - 193. Let a be t(39). Find the second derivative of -69*r**a + 29*r + 34*r + 28*r wrt r.
-138
Let s(h) be the second derivative of 7*h**6/10 - 4*h**4 + h**3/6 - 747*h**2 + 1821*h. What is the first derivative of s(a) wrt a?
84*a**3 - 96*a + 1
Let q(f) = -19*f - 218. Let o(y) = -21*y - 219. Suppose -30*b - 245 = 19*b. Let x(k) = b*q(k) + 6*o(k). What is the derivative of x(j) wrt j?
-31
Find the first derivative of -13*l**2 - 38*l**2 + 62*l**2 - 31*l**2 + 31*l**4 + 17*l**4 - 14302 wrt l.
192*l**3 - 40*l
Let i(m) be the second derivative of -29*m**6/2 - 2189*m**2/2 + 2150*m. Differentiate i(y) wrt y.
-1740*y**3
What is the third derivative of 3443*d**3 + 4 - 65*d**2 + 360*d**3 - 201*d**3 wrt d?
21612
Let o(n) = 15*n**2 - 5*n + 1. Let p be o(2). Let t = p + -49. Find the third derivative of -54*x**2 + 20*x**2 + 19*x**t + 9*x**6 wrt x.
1080*x**3
Let p be 52/130 + (-656)/(-10). Differentiate q + p + 16 - 5*q wrt q.
-4
Let m = 64 + -62. Suppose 0 = -2*u + m*p + 16, p = 2*u + 4*p + 9. What is the second derivative of -13*z**u - 11*z**3 - 5*z**3 + 6*z + 9*z**3 wrt z?
-120*z
Let o = 56 + -39. What is the third derivative of -179*i**2 + 68*i**2 + 34*i**5 + 5*i**4 - o*i**5 wrt i?
1020*i**2 + 120*i
Let a(t) = -2*t**3 - t. Let v be a(-1). Suppose r - v*b = -6*b + 12, b = r - 4. Find the first derivative of r*h**2 + 10*h**2 - 11*h**2 + 6 wrt h.
10*h
What is the third derivative of -2882*r**6 + 792*r**2 + 122*r**3 + 65 - 122*r**3 - 790*r**2 wrt r?
-345840*r**3
Suppose -o - 16 = 4*q + 2, 2*o = q + 9. Find the third derivative of -317 + 275*v**2 - o*v**4 + 201*v**5 + 317 wrt v.
12060*v**2 - 48*v
Let n(m) = m**3 + 7*m**2 + 4*m - 9. Let i be n(-6). Differentiate 55*b**i - 21 + 44 - 14 with respect to b.
165*b**2
Find the second derivative of 73*p + 34*p + 5 - 18*p - 12*p + 32*p - 2148*p**2 wrt p.
-4296
Let q = -101 - -103. Find the second derivative of 49*i - 4 - 1272*i**2 + 4 + 1295*i**q wrt i.
46
Find the second derivative of 1216*i - 2098*i + 1279*i - 2571*i**4 wrt i.
-30852*i**2
Let s(c) = 2*c**3 + 17*c**2 + 9*c + 12. Let b be s(-8). Differentiate -82*r + 140*r - 81*r + b*r**2 - 14 wrt r.
8*r - 23
Let g(z) = -5*z**2 + 68*z - 94. Let s be g(12). Suppose 0 = k - 3*k + 4. What is the third derivative of 3*v + 21*v**s - 31*v**k - 3*v - 17*v**5 wrt v?
-1020*v**2
Let h(t) = 2*t**3 + t**2 - 2*t. Let m(l) = 13764*l**3 - 8*l**2 + 16*l - 8130. Let d(x) = 8*h(x) + m(x). Differentiate d(i) wrt i.
41340*i**2
Let m(s) = 4700*s**2 - 10*s - 1808. Let g(d) = -7050*d**2 + 14*d + 2713. Let f(q) = 5*g(q) + 7*m(q). Differentiate f(h) with respect to h.
-4700*h
Suppose 17*j - 75 = -8*j. Differentiate -6 + 8871*a**3 - 33 - 8647*a**j wrt a.
672*a**2
Let f(h) be the second derivative of -2105*h**7/21 - h**4/3 + 100*h**2 - 1869*h + 1. Find the third derivative of f(w) wrt w.
-252600*w**2
Let n(b) = 20*b - 12. Let s be n(7). What is the derivative of -9 - 77 - 65 + s*q - 31 wrt q?
128
Let o(q) = 16442*q**3 - 11*q**2 + 120*q + 11. Let r(p) = 8220*p**3 - 5*p**2 + 59*p + 5. Let w(v) = 4*o(v) - 9*r(v). What is the third derivative of w(u) wrt u?
-49272
Let t(q) be the first derivative of -7/2*q**4 + 0*q**3 - 37/2*q**2 + 92 - 3/5*q**5 + 0*q. Find the second derivative of t(v) wrt v.
-36*v**2 - 84*v
Let h(q) be the second derivative of -365*q**7/42 - 145*q**3/2 + q**2 - 1696*q. Find the second derivative of h(n) wrt n.
-7300*n**3
Suppose 6*c + 224 - 824 = 0. Find the third derivative of -128*f**4 + 69*f**4 - 93*f**4 + c*f**2 - 65*f**4 - 94*f**4 wrt f.
-7464*f
Suppose 285 = -5*z - 290. Let m = 69 - z. What is the second derivative of 24*n**2 + m*n - 188*n - 2*n**2 wrt n?
44
Let i(q) be the third derivative of q**8/336 - 5048*q**7/105 + 2267*q**5/60 + 405*q**2. Find the third derivative of i(c) wrt c.
60*c**2 - 242304*c
What is the second derivative of -573*d + 244*d**2 + 51*d**2 - 1026*d + 100*d**2 + 74*d**2 wrt d?
938
Let t(l) = 14*l**3 + 1711*l**2 - 5*l + 112. Let p(q) = -8*q**3 - 856*q**2 + 2*q - 56. Let a(j) = 5*p(j) + 3*t(j). Find the second derivative of a(k) wrt k.
12*k + 1706
Let m(o) be the third derivative of 83*o**8/28 + 367*o**4/8 + 6*o**2 + 2*o. Find the second derivative of m(w) wrt w.
19920*w**3
Suppose 2*y + 2*y = -c + 24, -c + 10 = -3*y. Let j = 20 - c. Find the first derivative of -7 - 4 - 600*u**4 + 605*u**j wrt u.
20*u**3
Suppose 2*l - 4950 = 5*a, -a = -3*l + 2079 + 5359. Let u be (-8)/(-6) + l/12. What is the second derivative of -j**5 - 208*j**4 - 24*j + u*j**4 wrt j?
-20*j**3
Let t(m) be the third derivative of m**7/210 + 17*m**5/20 + 125*m**4/2 - 2*m**2 - 378. Find the second derivative of t(a) wrt a.
12*a**2 + 102
Find the third derivative of 753*q**6 - 994*q**2 - 57833*q**3 + 57833*q**3 - 988*q**2 wrt q.
90360*q**3
Differentiate 2022 + 510*o**3 + 907*o**3 - 101*o**3 with respect to o.
3948*o**2
Let p(r) be the third derivative of r**7/70 - r**6/24 + r**5/60 + 587*r**4/24 + r**3/3 - 52*r**2 + 14*r. Find the second derivative of p(n) wrt n.
36*n**2 - 30*n + 2
Let q(l) be the third derivative of 0*l**5 + 0*l + 0*l**3 + 0*l**6 + 21*l**2 + 0 - 103/70*l**7 - 35/4*l**4. Find the second derivative of q(n) wrt n.
-3708*n**2
Let m(y) be the second derivative of 2549*y**3/2 - 6026*y**2 - 457*y. What is the derivative of m(g) wrt g?
7647
Let s(u) = 2*u**2 + 85*u + 9. Let x be s(7). What is the third derivative of -695*k**3 + 11*k - 15*k**6 + 1397*k**3 - x*k**3 + 2*k**2 + 0*k wrt k?
-1800*k**3
Let q(b) = 27*b**2 + 4*b + 78. Let x(j) = -j**2 + j + 3. Let z = -461 - -460. Let a(h) = z*q(h) + 3*x(h). Differentiate a(y) with respect to y.
-60*y - 1
Let s(t) be the first derivative of 147*t**5/5 - 3*t**4/4 - 1168*t**3/3 + 1632. Find the
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{
"pile_set_name": "DM Mathematics"
}
|
r n.
4
Solve x + 63 = 3*i + 66, 0 = 5*x + i + 17 for x.
-3
Solve -5*j = -5*c - 15, -5*c - 3 = 2*j - 4*c for j.
0
Solve 2*k - 3*w + 9 = 0, 3*w - 21 = 5*k - 3*w for k.
-3
Solve 0 = -4*u - 8, 13*t - 17*t - 30 = 5*u for t.
-5
Solve -3*y - 4*p = -22, -7*y - p + 14 = -2*y for y.
2
Solve 5*o + 18 - 24 = -2*x, -3*o - x = -4 for o.
2
Solve -3*g + 0 = -9, 2*m - 2*g = -6 for m.
0
Solve -2*d - o - 4 = -12, -3*d - 2*o = -14 for d.
2
Solve -2*c - 3*d = 9, -2*d - 13 = 4*c - 5*c for c.
3
Solve -81*w - 19 = -85*w - i, -27 = -5*w + 2*i for w.
5
Solve 4*t - 5*w + 32 = -0*w, 2*t = -2*w + 2 for t.
-3
Solve 5*n - 30 = 5*r, 0 = 4*n - 5*r - 17 - 8 for n.
5
Solve -20 = 2*c - 54*m + 57*m, 4*m = -5*c - 36 for c.
-4
Solve 17 - 13 = -2*u + 3*n, 0 = -4*u + 2*n - 8 for u.
-2
Solve 2*f - 5*q = -2*f + 12, 0 = -3*f + 4*q + 10 for f.
-2
Solve -1 = -w, 1 = 4*q - 0*w + 5*w for q.
-1
Solve -2*h - 6 = 0, 2*f + 25 = -h + 20 for f.
-1
Solve 0 = -g + s + 6, -g = -3*g - s - 3 for g.
1
Solve -25*o - z - 13 = -22*o, -4*o = -3*z for o.
-3
Solve 3*h = 3*i + 12, 0 = -27*h + 26*h for i.
-4
Solve -25 = 2*f + 5*q, -26*q = 4*f - 31*q - 25 for f.
0
Solve -5*y = 2*o - 21, 4*y - 28 = -17*o + 21*o for o.
-2
Solve 3*o + 23*u - 21*u = 13, -o - 24 = -5*u for o.
1
Solve 2*r - 2 = -2*u, r + 2*r = -u + 5 for u.
-1
Solve j = -5*c - 2*j + 8, -4*j = -3*c + 28 for c.
4
Solve 5*j + 10 = -g, -325 = 3*j + 4*g - 319 for j.
-2
Solve 4*z - 3*f + 23 = 0, 6*z - 3*z - 4*f + 26 = 0 for z.
-2
Solve g - 2 = 2*k - 3, -4*g - 5*k = 30 for g.
-5
Solve 4*z - 4*a + 45 = a, -4*a = -4*z - 40 for z.
-5
Solve -9 = -3*d - 5*j, -9*d - 2*j = -4*d - 15 for d.
3
Solve 4*n - 20 = -v, 6*n + 20 = 3*v + 10*n for v.
0
Solve -w = 2*f, 24*w - 22*w = -3*f - 1 for w.
-2
Solve 3*g - 2*x + 3 = 2, 5*x = 4*g + 6 for g.
1
Solve i - 23 = -5*y - i, -3*y + 3*i + 18 = 0 for y.
5
Solve -2*p + 5*p - 3*v = 0, -3*v = -2*p - 5 for p.
5
Solve 4*m + 2*c - 20 = 0, 5*m - 23*c + 20*c - 3 = 0 for m.
3
Solve -1 = 4*z + 2*s - 5, 3*z - 3 = 2*s for z.
1
Solve -j + 4*v = -23, 2*v - 8 = 2*j - 24 for j.
3
Solve 7*j - 5*j - 2*x - 10 = 0, -4*x + 5 = j for j.
5
Solve 5*f - f + 3*h + 15 = 0, 4*f + 4*h + 20 = 0 for f.
0
Solve -3*h = -h + 3*m + 17, -4*h - 1 = -5*m for h.
-4
Solve 15*s = 20*s - 20, -4*s = -z - 18 for z.
-2
Solve 4*v + 143 = q + 155, -4*v - 4*q = -32 for v.
4
Solve -5*r - 3*p = 10 - 2, 2*p + 12 = 0 for r.
2
Solve -5*p + 25 = -5*k, -5*k - 19 = -p - 2 for k.
-3
Solve -5*t - 9 = 3*b, 0 = 221*b - 216*b + 3*t + 15 for b.
-3
Solve 22 = -4*h + 2*o, -h = 3*o - 4*o + 8 for h.
-3
Solve -3*y + s = 0, y = -298*s + 302*s - 22 for y.
2
Solve 5*p - r + 20 = 0, -3*p - 6 - 28 = -5*r for p.
-3
Solve 4*g + 12 = 2*j, 4*g + 11 = 3*j + 5*g for j.
4
Solve 0 = 3*h - 6, -10*h + 12*h = m + 7 for m.
-3
Solve -5*p = -4*r - 37, 0 = 2*r - 20*p + 17*p + 21 for r.
-3
Solve 5 - 3 = s, 4*s = -3*d + 23 for d.
5
Solve -4*x - 18 = 135*a - 137*a, -25 = -3*a + 5*x for a.
5
Solve p - 3 = -2*n, -n = 2*p - 8 + 2 for n.
0
Solve -2*s + 2 = 2*w + 3*s, 3*w - 3 = -3*s for w.
1
Solve c + 14*m - 19*m + 1 = 0, -5*m = 5*c - 25 for c.
4
Solve -2*o - r - 11 = 0, 0*r + 4*r + 24 = -3*o for o.
-4
Solve 6*o - o = 4*z - 6, 5*z - 5 = 5*o for o.
-2
Solve -2*b = 10, 0 = -5*m - 5*b - 23 - 2 for m.
0
Solve 4*w - 2*w + v = -8, -2*w = 5*v + 16 for w.
-3
Solve 0 = 2*z + b - 1, 5 = -5*z + 5*b - 0 for z.
0
Solve -5*s + 143*n - 138*n = 0, 5*s - 4*n - 2 = 0 for s.
2
Solve -5*z - 32 = 9*s, -10*s + 4*z - 11 = -5*s for s.
-3
Solve 5*v = -p - 12, 9 = -4*v + 39*p - 40*p for v.
-3
Solve -b = -2*l - 3*b, 2*l + 18 = 4*b for l.
-3
Solve 2*b + 3*b = -15, 10*b + 39 = 3*d for d.
3
Solve -2*i = 4*s - 14, 7*s - 15 = 2*s for i.
1
Solve 0 = -2*v - 4, 4*d - 5*v + 4*v = 10 for d.
2
Solve 4*m + 8*i = 6*i - 12, -2*m + 4*i - 26 = 0 for m.
-5
Solve -4*f - 13*k + 17*k = 16, -7*k + 19 = 2*f for f.
-1
Solve -x - 15 = 5*v + x, 0 = -4*v + x - 25 for v.
-5
Solve 0 = 2*x - 3*q + 22 - 21, -5 = -5*q for x.
1
Solve 0*v - 3*v = -4*p, -4*v - 5*p = 0 for v.
0
Solve 0 = -3*i + 5*g + 12, -3*g - 6 = i - 4*i for i.
-1
Solve 0 = 2*b + 4*v + 4, -v - 4 = -5*v for b.
-4
Solve 5*u + 7 = 3*p, -16 = -5*p + 2*u + 2*u for p.
4
Solve 0 = o - m + 2, 0 = -4*o - 8*m + 3*m + 19 for o.
1
Solve -5*d = -6*s + 4*s - 9, -s + 6 = d for s.
3
Solve 16 - 1 = -5*x, -2*n - 22 = 4*x for n.
-5
Solve u = -2*z - 2*z - 21, 5*u - 3*z - 10 = 0 for u.
-1
Solve 5*q - 60 = 3*v, -83 + 128 = 5*q for v.
-5
Solve 3*p + 5*x = -15, 2*p - 15*x = -12*x - 10 for p.
-5
Solve -5*t = -2*k - 7*t - 2, 3*t = 3 for k.
-2
Solve -c + y = 2, 3*c - 5*y + 14 = -2 for c.
3
Solve 4*l = -8*g + 6*l - 6, 3*l + 25 = -5*g for g.
-2
Solve 0 = -5*w - 5*j - 30, -46*w + 20 = -44*w - 2*j for w.
2
Solve -3*r - 5*j + 5 = -4*j, r - 5 = -j for r.
0
Solve -20*j + 25*j - 29 = -3*x, -5*j + 5 = -5*x for x.
3
Solve -2*r - 4 = 2*k, -5*k + 32*r - 27*r = -20 for k.
1
Solve 0 = -4*o + 4*q - 32, 38*o = 35*o - 3*q for o.
-4
Solve 23*a = 20*a - 9, -13 = -2*k + a for k.
5
Solve 2*c + 0*l + 35 = -5*l, 4*c + l + 25 = 0 for c.
-5
Solve 32*g = 2*y + 31*g, -3*g - 20 = 4*y for y.
-2
Solve 2*k - 4*k = 3*t + 13, -7 = 5*t - 4*k for t.
-3
Solve 5*o = 2*r + 25, r + 3*o - 9 + 5 = 0 for r.
-5
Solve 5*y = 4*y - 4*q - 3, -2*y - 6 = q for y.
-3
Solve 0*h - 5*y + 12 = -h, 0 = 3*h - 2*y - 3 for h.
3
Solve 3*x - 21 + 35 = -4*s, -4*s + 22 = -3*x for s.
1
Solve -3*l = 11*v - 8*v, 4*v - 3 = -3*l for l.
-3
Solve 15*u = 16*u - 2, -5*u = 5*l for l.
-2
Solve t - 14 = 5*k, 81*k + 6 = 3*t + 84*k for t.
4
Solve 0*q - 3*q - 1 = -d, -q - 27 = 5*d for q.
-2
Solve 6 = -0*t + 4*t + 2*p, -4*p = t + 2 for t.
2
Solve 2*n + 81 = 91, -35 = -4*f - 3*n for f.
5
Solve 0 = 3*i + 3, 0 = 3*o - 7*o + 3*i - 9 for o.
-3
Solve -5 = -a + k, 5 = -3*a + 4*k - 6*k for a.
1
Solve 4*z = 4*p, -2*z + 7 - 1 = 4*p for z.
1
Solve 2*t = -5*z - 29, 3*z - 2*z + 4*t + 13 = 0 for z.
-5
Solve -3*k = 4*y - 20, -k + 5*y - 25 = k for k.
0
Solve 4*o = 5*m - 0 + 17, 3 = o - m for o.
-2
Solve -3*i - 6 = 0, -5*r - 11 = 5*i + 4 for r.
-1
Solve 0 = 3*w - 4*f, 0 = 2*w - 2*f + 6 - 4 for w.
-4
Solve 40 = -3*p - 4*b + 13, -3*p - 12 = -b for p.
-5
Solve -5*w + 5 = 5*z, -14 + 5 = -4*z + w for z.
2
Solve -4*s + 2 = 3*k, -5*k = 5 + 5 for s.
2
Solve 24*p = 27*p + z - 5, 0 = -p + 3*z - 5 for p.
1
Solve 4*o - 18 = h, -6*h = -2*h + 5*o - 12 for h.
-2
Solve 3*o = h - 1 + 2, 0 = -h + 2*o for h.
2
Solve -25 = -2*j + 3*u, -5 = 2*j + j + 4*u for j.
5
Solve 2*x = -453*w + 457*w - 10, -x + w = 3 for x.
-1
Solve 0 = i - 1, -124*w = -120*w + 4*i for w.
-1
Solve 8 = 2*b + 4*g, -3*b - 4*g = -5*b + 8 for b.
4
Solve -13 - 6 = -5*c + j, 5*j = 5*c - 35 for c.
3
Solve 2*b + 3*c - 36 = -46, -3*c = 5*b + 7 for b.
1
Solve -59*t + 3*u - 24 = -63*t, -2 = -2*t + u for t.
3
Solve 77*y + 6 = 4*i + 76*y, 5*i = -y + 3 for i.
1
Solve 0 = -2*n - 4*o + 6, -5*o + 6 = 4*n - 0 for n.
-1
Solve g - 4*u - 13 = -0*g, 5*g = 2*u + 11 for g.
1
Solve -10 = -4*t - 2*i, 2*t - 3*i + 8 - 17 = 0 for t.
3
Solve 3*m - 3*j + 3 = 6*m, -4*m + 3*j = 17 for m.
-2
Solve -134*t - 2*r - 30 = -139*t, 41 = 4*t - 5*r for t.
4
Solve 0 = -4*z - o + 9, -3*z + 5*z = 4*o + 18 for z.
3
Solve -3*g + 1 = -5*n - 14, -2*g + 10 = -3*n for g.
5
Solve 2*x - 5 = -5*c, -4*c = 26*x - 23*x - 11 for x.
5
Solve 0 = 5*f + 10, 3*c - 1315*f + 1317*f - 5 = 0 for c.
3
Solve -t - 3*l = -4*t, -6 = -2*t - 4*l for t.
1
Solve 24*f = 21*f + 5*g - 14, -2 = -2*g for f.
-3
Solve -3*p = 4*y - 8, 4*p + 3*y - 24 + 11 = 0 for p.
4
Solve 3*v + 3*t = -3, 0 = -4*v + 7*t - 3*t - 12 for v.
-2
Solve -3*m - 2*l + 5*l = -9, -2*m + 5*l = -15 for m.
0
Solve -11 = -4*q - 3*i - 4, 3*i + 9 = 0 for q.
4
Solve -3*o = w + 7 - 1, 0 = w for o.
-2
Solve -y - 2*s = 8, -3*s = 4*y + 2*s + 23 for y.
-2
Solve 2*b + 28 = -5*u, -21*u = 3*b - 16*u + 32 for b.
-4
Solve 5*h + 11 = 5*l - 24, 3*l = 2*h + 18 for h.
-3
Solve -9 = j + 4*d, -4*d = -4*j - 2*d + 18 for j.
3
Solve -2*o = 3*p + 2, -8 = p + 3*o - 5 for p.
0
Solve 2 = -2*p - 2, b = -3*p - 9 for b.
-3
Solve -y - 3 = 4*d - 8, -y + 2*d = -5 for y.
5
Solve 3*u - 6 = -3*a, 5*a + u - 1 = 5*u for a.
1
Solve -7 = -p - 3*v, p + 2*p - 3*v = -3 for p.
1
Solve 20 = 3*z - 2*s, 4*s + 20 = 2*z - 4 for z.
4
Solve 4*i = 3*h - 3, -2*h - 3 = -i - 0 for i.
-3
Solve g - 76*u + 77*u = -8, 0 = -2*g - u - 13 for g.
-5
Solve -15*d = -14*d - 4, 22 = -2*n + 4*d for n.
-3
Solve -10*n = -u - 14*n - 12, 4*n + 24 = 2*u for u.
4
|
{
"pile_set_name": "DM Mathematics"
}
|
inutes are there between 3:14 PM and 4:58 PM?
104
What is 173 minutes before 10:45 AM?
7:52 AM
How many minutes are there between 11:17 PM and 9:47 AM?
630
What is 667 minutes before 7:34 AM?
8:27 PM
What is 679 minutes after 5:42 PM?
5:01 AM
How many minutes are there between 1:12 PM and 4:36 PM?
204
How many minutes are there between 8:01 PM and 1:26 AM?
325
How many minutes are there between 7:26 AM and 2:27 PM?
421
How many minutes are there between 7:11 AM and 10:33 AM?
202
How many minutes are there between 3:57 PM and 1:30 AM?
573
How many minutes are there between 8:22 PM and 8:21 AM?
719
What is 332 minutes after 10:25 AM?
3:57 PM
How many minutes are there between 7:32 AM and 1:38 PM?
366
How many minutes are there between 8:18 PM and 6:43 AM?
625
What is 110 minutes before 8:04 PM?
6:14 PM
How many minutes are there between 10:20 PM and 11:37 PM?
77
What is 175 minutes before 8:14 AM?
5:19 AM
How many minutes are there between 7:40 PM and 5:45 AM?
605
How many minutes are there between 6:08 PM and 10:59 PM?
291
How many minutes are there between 2:22 AM and 8:22 AM?
360
What is 176 minutes before 12:06 PM?
9:10 AM
How many minutes are there between 3:06 PM and 11:29 PM?
503
How many minutes are there between 7:22 PM and 6:52 AM?
690
What is 240 minutes after 1:13 AM?
5:13 AM
What is 646 minutes after 5:39 PM?
4:25 AM
What is 345 minutes after 8:14 PM?
1:59 AM
What is 265 minutes after 4:40 PM?
9:05 PM
How many minutes are there between 5:12 AM and 10:40 AM?
328
How many minutes are there between 5:08 AM and 10:39 AM?
331
How many minutes are there between 7:16 AM and 12:29 PM?
313
What is 243 minutes before 3:32 PM?
11:29 AM
What is 204 minutes after 2:11 AM?
5:35 AM
How many minutes are there between 10:40 AM and 5:34 PM?
414
How many minutes are there between 10:57 PM and 4:14 AM?
317
What is 388 minutes before 5:14 AM?
10:46 PM
What is 445 minutes after 1:04 PM?
8:29 PM
What is 660 minutes before 5:26 AM?
6:26 PM
How many minutes are there between 7:57 AM and 8:46 AM?
49
What is 91 minutes before 2:57 PM?
1:26 PM
How many minutes are there between 11:03 AM and 6:29 PM?
446
How many minutes are there between 5:11 PM and 4:31 AM?
680
What is 589 minutes before 7:03 AM?
9:14 PM
How many minutes are there between 9:27 AM and 2:47 PM?
320
What is 576 minutes before 7:24 AM?
9:48 PM
How many minutes are there between 11:09 PM and 3:09 AM?
240
What is 490 minutes before 3:31 AM?
7:21 PM
How many minutes are there between 12:58 PM and 8:36 PM?
458
What is 467 minutes before 7:26 PM?
11:39 AM
What is 643 minutes after 6:58 AM?
5:41 PM
What is 181 minutes before 1:19 PM?
10:18 AM
What is 482 minutes before 5:51 PM?
9:49 AM
How many minutes are there between 10:59 PM and 3:33 AM?
274
How many minutes are there between 9:01 AM and 3:42 PM?
401
What is 96 minutes before 3:59 AM?
2:23 AM
What is 104 minutes before 10:23 PM?
8:39 PM
How many minutes are there between 4:20 AM and 11:21 AM?
421
How many minutes are there between 10:26 PM and 1:17 AM?
171
What is 448 minutes before 7:30 AM?
12:02 AM
What is 462 minutes before 5:05 PM?
9:23 AM
What is 543 minutes before 5:17 PM?
8:14 AM
What is 175 minutes after 4:38 AM?
7:33 AM
What is 90 minutes after 7:36 PM?
9:06 PM
How many minutes are there between 6:48 AM and 8:43 AM?
115
How many minutes are there between 5:24 AM and 4:57 PM?
693
How many minutes are there between 12:13 AM and 9:25 AM?
552
What is 300 minutes after 9:10 PM?
2:10 AM
What is 25 minutes after 5:47 PM?
6:12 PM
How many minutes are there between 7:28 AM and 3:11 PM?
463
What is 535 minutes before 3:31 AM?
6:36 PM
How many minutes are there between 8:47 PM and 11:38 PM?
171
What is 360 minutes after 3:30 PM?
9:30 PM
How many minutes are there between 8:33 PM and 5:51 AM?
558
How many minutes are there between 7:20 AM and 4:23 PM?
543
What is 60 minutes before 2:53 AM?
1:53 AM
What is 583 minutes before 3:31 AM?
5:48 PM
How many minutes are there between 12:41 AM and 5:34 AM?
293
How many minutes are there between 4:50 PM and 1:01 AM?
491
What is 446 minutes before 8:04 PM?
12:38 PM
How many minutes are there between 12:21 PM and 10:16 PM?
595
How many minutes are there between 6:52 AM and 5:12 PM?
620
What is 166 minutes after 12:40 PM?
3:26 PM
What is 697 minutes before 5:51 PM?
6:14 AM
What is 194 minutes before 9:47 AM?
6:33 AM
What is 692 minutes before 12:57 PM?
1:25 AM
What is 148 minutes before 4:03 AM?
1:35 AM
What is 532 minutes after 8:08 AM?
5:00 PM
How many minutes are there between 10:43 AM and 4:01 PM?
318
How many minutes are there between 9:10 PM and 6:02 AM?
532
How many minutes are there between 3:36 PM and 1:25 AM?
589
What is 682 minutes after 11:16 PM?
10:38 AM
How many minutes are there between 8:58 PM and 8:18 AM?
680
What is 552 minutes before 5:00 AM?
7:48 PM
What is 185 minutes after 6:52 PM?
9:57 PM
How many minutes are there between 11:32 AM and 7:05 PM?
453
How many minutes are there between 5:59 AM and 3:31 PM?
572
How many minutes are there between 9:03 PM and 6:58 AM?
595
How many minutes are there between 1:47 PM and 5:56 PM?
249
What is 170 minutes before 9:13 AM?
6:23 AM
How many minutes are there between 3:44 PM and 3:05 AM?
681
How many minutes are there between 10:50 AM and 9:06 PM?
616
How many minutes are there between 9:37 AM and 9:22 PM?
705
What is 243 minutes before 9:54 AM?
5:51 AM
How many minutes are there between 7:36 AM and 6:33 PM?
657
What is 103 minutes before 10:43 PM?
9:00 PM
What is 416 minutes before 2:14 AM?
7:18 PM
How many minutes are there between 10:41 PM and 10:01 AM?
680
What is 264 minutes after 6:47 PM?
11:11 PM
What is 20 minutes after 8:48 AM?
9:08 AM
How many minutes are there between 6:07 AM and 8:10 AM?
123
What is 42 minutes before 1:23 PM?
12:41 PM
How many minutes are there between 7:01 AM and 4:52 PM?
591
What is 639 minutes after 10:47 AM?
9:26 PM
What is 63 minutes after 4:47 PM?
5:50 PM
What is 49 minutes before 12:47 PM?
11:58 AM
What is 250 minutes before 9:36 PM?
5:26 PM
How many minutes are there between 1:04 PM and 10:45 PM?
581
What is 204 minutes after 1:11 PM?
4:35 PM
How many minutes are there between 9:59 PM and 2:23 AM?
264
What is 317 minutes before 11:52 PM?
6:35 PM
How many minutes are there between 7:19 AM and 12:56 PM?
337
How many minutes are there between 4:15 AM and 4:10 PM?
715
What is 612 minutes before 2:55 PM?
4:43 AM
What is 502 minutes before 5:49 PM?
9:27 AM
How many minutes are there between 4:53 PM and 4:47 AM?
714
What is 443 minutes before 5:38 PM?
10:15 AM
How many minutes are there between 3:19 PM and 1:30 AM?
611
What is 53 minutes before 8:06 AM?
7:13 AM
How many minutes are there between 5:55 AM and 10:25 AM?
270
What is 54 minutes after 12:39 PM?
1:33 PM
How many minutes are there between 12:20 PM and 2:39 PM?
139
How many minutes are there between 7:25 PM and 6:28 AM?
663
What is 702 minutes before 2:12 AM?
2:30 PM
How many minutes are there between 2:56 AM and 9:59 AM?
423
What is 605 minutes after 3:27 AM?
1:32 PM
What is 360 minutes after 5:24 AM?
11:24 AM
How many minutes are there between 5:54 AM and 8:34 AM?
160
What is 583 minutes before 9:04 AM?
11:21 PM
How many minutes are there between 9:59 PM and 7:58 AM?
599
What is 655 minutes before 11:58 AM?
1:03 AM
How many minutes are there between 10:21 PM and 12:36 AM?
135
What is 387 minutes after 8:18 AM?
2:45 PM
How many minutes are there between 12:00 PM and 3:57 PM?
237
How many minutes are there between 2:44 PM and 5:09 PM?
145
What is 117 minutes before 1:51 PM?
11:54 AM
What is 56 minutes before 7:43 AM?
6:47 AM
How many minutes are there between 4:21 AM and 11:09 AM?
408
What is 251 minutes before 2:21 PM?
10:10 AM
How many minutes are there between 4:33 AM and 4:44 AM?
11
What is 503 minutes before 5:18 AM?
8:55 PM
How many minutes are there between 6:19 PM and 10:10 PM?
231
What is 670 minutes after 1:27 PM?
12:37 AM
How many minutes are there between 12:38 PM and 7:24 PM?
406
How many minutes are there between 6:13 AM and 2:24 PM?
491
What is 373 minutes before 3:03 AM?
8:50 PM
What is 517 minutes after 2:11 AM?
10:48 AM
How many minutes are there between 4:22 PM and 9:17 PM?
295
What is 458 minutes before 12:16 PM?
4:38 AM
How many minutes are the
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s be (33/12)/(324/(-64) + 5). Let w = 751/17 + s. Which is the third biggest value? (a) 0.3 (b) -1 (c) w (d) 5
c
Let u = 4150 + -4154. What is the fourth biggest value in u, 0.4, 51/8, 0, -0.5?
-0.5
Let i = -1 + -8. Suppose 3*r + m - 18 = 0, -3*r - 16*m = -21*m. What is the biggest value in r, 1, i?
r
Let m be (-96)/(-72) + (-46)/30. Suppose -3*s - 15 = 2*s - 3*r, -4*r = 20. Let i be (-6 - s/3) + -1. Which is the third biggest value? (a) i (b) 4 (c) m
a
Let q = -962.96 + 963. Let j = -434 + 432. Let r = 0 + 0.2. Which is the biggest value? (a) q (b) j (c) r
c
Let n = -118.6541 - -0.0541. Let v = -68 - n. Let y = 51 - v. Which is the biggest value? (a) y (b) -13 (c) 1/11 (d) -2/3
a
Let i = -18.039 + 18.339. Which is the third smallest value? (a) -2/7 (b) i (c) -0.3 (d) 11/4
b
Let l = -2.123 + 0.123. Let m = 14 + -16. Let v be (11/(-363))/(m/(-6)). What is the biggest value in 3, l, v?
3
Let k = 3.008 + 0.262. Let z = k + 0.73. What is the second smallest value in z, 5/4, -2?
5/4
Let x = 21 + -20.89. Let w = x + -0.43. Let d be (20/200)/((-12)/45). Which is the second biggest value? (a) -3/4 (b) w (c) d
c
Let q = 34 - 39. Let s = -145 + 1887/13. Which is the third smallest value? (a) q (b) 3/5 (c) 2/9 (d) s
c
Let z be 3*270/990*4/(-486). Which is the third smallest value? (a) 3 (b) -0.09 (c) z
a
Let x = -3188 - -22311/7. Which is the third biggest value? (a) 5/4 (b) x (c) -1/4
b
Let i = 1.48 + -0.18. Let x = -0.14 + 0.44. Let u be 0 + -1 + 1 + 6/(-51). Which is the second smallest value? (a) i (b) u (c) x
c
Let z = -813/8 + 4089/40. Let t = -2 + 2.02. Which is the third smallest value? (a) z (b) 1/9 (c) t
a
Let d = 1.08 - 1. Let x = -593 - -393. Let o be 10/24 - 50/x. Which is the second smallest value? (a) -4 (b) d (c) o
b
Let i = 18727/55 - -1033/11. Let q = i - 434. Which is the smallest value? (a) -4 (b) q (c) 2 (d) -14
d
Suppose -2*t + 5*p + 9 = -3, -4*p - 32 = 4*t. Let v = 0.71 - 0.72. Which is the third biggest value? (a) 1 (b) v (c) t
c
Let s = -703 + 702. Which is the second biggest value? (a) 3 (b) -0.2 (c) s (d) -0.4
b
Let r be 38/(-152)*(9/54)/(2/(-6)). Let j be (-3 - 0) + 14/7. Which is the second smallest value? (a) 1/5 (b) r (c) j
b
Let m = 18/7957 - 8065/47742. Suppose 5 = -3*g - 7. Which is the third biggest value? (a) g (b) m (c) -2/5
a
Suppose -2*u + 20 = 5*g + 70, -6*u = -4*g + 36. Which is the third biggest value? (a) u (b) 41 (c) -1/3
a
Let r be (-8992)/(-2304) - 6/(-27). Let l(m) = m**3 + 9*m**2 + 12*m - 14. Let a be l(-7). What is the third smallest value in a, r, 2/15?
r
Let u = -2892 - -2891. Let v = 1.97 + -1.9. What is the third smallest value in v, u, -5, 0.3?
v
Suppose -q + 0 = w + 3, -17*w - 75 = 5*q. Which is the third biggest value? (a) 7 (b) 3 (c) q (d) 0.6
c
Let g = -12785 + 12785. Which is the biggest value? (a) -4 (b) g (c) 46 (d) 2/11
c
Let j be (-664)/(-1)*(-22)/88. Which is the second smallest value? (a) j (b) 5 (c) -3/2
c
Let r = -417.7 + 423. Let q = -5.1 + r. Which is the second biggest value? (a) -3 (b) -1/10 (c) q (d) 5
c
Let q = -554 - -556. Let u = -2 + 20. Suppose 4*r - 4*o = 0, -2*r = -0*o + 4*o + u. What is the biggest value in -4, r, q?
q
Let r = -0.4175 - 5.5825. Suppose -2*c + 2*j - 4 = 0, -30 = 2*c - 7*c - 3*j. What is the biggest value in c, r, -0.2, -2/9?
c
Let s = -2/35 - -47/210. Suppose 44519*u = 44537*u. Which is the second biggest value? (a) u (b) -3.2 (c) -0.3 (d) s
a
Let j(q) = -2*q**2 - 51*q + 39. Let s be j(-27). Let i be s/(-65) + 1 + 77/(-91). What is the biggest value in -0.2, 0.2, i, 0?
i
Let y = -7.2 - 3.8. Let q = 10.2 + y. Let f be (-2)/(-4*2) + (-66)/168. Which is the smallest value? (a) q (b) -1/3 (c) f
a
Let q be ((-10062)/429)/(-43) - -2*70/(-176). Suppose -6 = 2*l - 4*l. Which is the second smallest value? (a) q (b) 1/7 (c) l (d) 7
b
Let h = -61.7 + 56.41. Which is the second biggest value? (a) h (b) 0.1 (c) 4
b
Let l = 1.2 + 1.8. Let q = 2.7 - l. Let r = -26 - -21. Which is the smallest value? (a) q (b) r (c) 3/5
b
Let r = -235 - -235.45. Let k = 11.45 - r. What is the second biggest value in k, -0.5, 3, 1?
3
Let y = -215 + 229. Let n = y + 30. Which is the biggest value? (a) 2 (b) 5 (c) n
c
Let h = 1063 + -1063.3. Let m be 5/(-6) + (-1)/(-3). What is the biggest value in h, -4, 8, m?
8
Let s = -232 - -229. Let p = -7 - 19. Which is the fourth biggest value? (a) 0.2 (b) 2 (c) s (d) p
d
Let w be (-96)/2928*3/12. What is the third smallest value in -4, w, 0.1?
0.1
Let j = 281 + -268. Let x(m) = -m**3 + 3*m**2 + 2*m + 5. Let q be x(4). Which is the second smallest value? (a) q (b) 4 (c) 1/7 (d) j
c
Let t(b) = -10*b - 18. Let o be t(-2). Suppose o*r - 4*r + 2*p - 6 = 0, -2*p - 2 = 0. Let z = -0.1 + -0.1. What is the third smallest value in -3, z, r?
z
Let a = -505/7 - -72. Let m(u) = -29*u - 5. Let z be m(-2). Let s = -34 + z. What is the second biggest value in s, -1, a, -0.5?
a
Let m be ((-3312)/(-150) - 22)/(1/5). Let o = 0.25 - 0.25. Which is the second biggest value? (a) -3/5 (b) 2 (c) o (d) m
d
Let l = -0.03574 + 0.03574. What is the biggest value in 2, 1/4, l, -2/3, -6?
2
Let i be 30/(-45)*(-9)/(-21)*7. Which is the second smallest value? (a) -0.05 (b) -1 (c) -3/5 (d) i
b
Let j = -4344 + 4343.6. Which is the third biggest value? (a) 177 (b) j (c) -0.07 (d) -4/9
b
Suppose 0 = 2*n + 14, 0 = 4*r + n - 111 + 110. What is the fifth smallest value in 65, -3/4, r, -2/17, -4?
65
Let o(n) = n**2 - 14*n - 67. Let q be o(-10). Let w = q + -174. Which is the third biggest value? (a) 1/3 (b) w (c) -13
c
Let v be 1 + 3 + 68 + -66. Let x be (-136)/1173*v*3/24. Let h = -0.08 - 0.22. Which is the third smallest value? (a) -0.2 (b) x (c) h (d) 2/19
b
Let k = -844 - -5904/7. Let v = -0.89 + -24.11. What is the smallest value in 5, k, v?
v
Let w = -3337 + 23357/7. What is the biggest value in 1687, w, -1/7?
1687
Let q = 777.6 + -778. Let j = 393 + -433. Which is the fourth smallest value? (a) j (b) 0.4 (c) q (d) 4
d
Suppose -10 = -2*k, -4*k + 162 - 128 = -2*y. What is the fourth smallest value in -2/11, -1/3, 0.07, y, 5?
0.07
Let g = 0.06821 - 0.36821. What is the fourth biggest value in 4, 0.0358, -1/4, 2/9, g?
-1/4
Let m = 1108 - 1107.8. Let a = -9 + 8.83. Let f = a - -0.47. What is the fourth smallest value in f, m, 5, 0?
5
Let c = 0.8286 - -2.1714. What is the third smallest value in c, 4, -1641?
4
Let x be ((-7460)/440 - -17)/((-1)/12). Which is the smallest value? (a) 22/3 (b) -3 (c) x (d) -5
d
Let p = -28.4 + 23. Let h = 5.5 + p. What is the second smallest value in -4, h, -5/4?
-5/4
Let h = -3.074 - -3.574. Let z = 1.13 + 0.17. Let p = 0.3 - z. Which is the biggest value? (a) h (b) -4 (c) p
a
Let w be -6 + 10/(-60)*-39. Let t = -2 - -3. Let r(h) = -h - 9. Let j be r(-8). What is the biggest value in t, w, j, 0.4?
t
Let r be 34/12 + (-1)/((-2)/(-6)). Let z = 5499.5 + -5499. Which is the third smallest value? (a) 1.4 (b) z (c) r
a
Let b = -83 - -115. Let q be 6/(-4)*b/24*1. Let a be ((-1)/((-105)/(-18)))/(q/5). What is the third biggest value in 4, 3/14, a?
3/14
Suppose 25 = w + 4*w. Let h = 1 - 1.1. Let a = 6 + -4. What is the fourth biggest value in a, h, -1, w?
-1
Let t = 384721/6 + -64120. Let v be 22/20 + 0 + -1. Let q(z) = -2*z + 8. Let u be q(6). What is the third biggest value in v, -1, u, t?
-1
Let m = -3/107 + -25/6741. Let u = 0.7 + -1. What is the biggest value in m, -0.5, u?
m
Let x = -422 + 312. Let f be (-20)/x - 52/165. What is the second biggest value in 17, f, -3/5?
f
Let z(f) = -2*f + 30. Let t be z(8). Suppose t*r + 90 = 4*r. Let u = 0.3 - 0.2. Which is the second smallest value? (a) -2 (b) u (c) r
a
Let m(y) = -y**2 - 2*y - 2. Let f = -24 + 21. Let p be m(f). Let h = 0.4 - 0.2. Which is the second smallest value? (a) p (b) -0.3 (c) h
b
Let z = -61.5 + 61. Let t = -8.5 + z. What is the third smallest value in 2, 4, t?
4
Let v be ((-4)/(-9))/(51/3 - 3/9). What is the second smallest value in v, 1/55, -2, -0.2?
-0.2
Let q be (-15)/(-35) + 6/(-21). Suppose -3*j = 5*t - 7*t - 297, 3*t = -4*j - 488. Which is the biggest value? (a) q (b) t (c) 4 (d) -4
c
Let s = -9.9 + 8.7. Let z = s - -19.2. What is the second s
|
{
"pile_set_name": "DM Mathematics"
}
|
3 = -i - p*i. Let j = x + 0. What are the prime factors of j?
2
Let m(r) = -47*r**2 + r + 5. Let s(p) = -48*p**2 + p + 6. Let w(h) = -4*m(h) + 3*s(h). What are the prime factors of w(-1)?
43
Let j(f) = f**2 + 8*f + 6. Let o be j(-8). Let w(m) = 2*m**2 - 8*m - 5. What are the prime factors of w(o)?
19
Suppose 4*d + 8 = -b - 2*b, 0 = 5*b - d + 21. Let r be ((-2)/b)/((-4)/(-48)). Let m = 14 - r. List the prime factors of m.
2
Let p = -1 + 4. Suppose l = p*i + 11, -4 = -l - 0*l - 4*i. List the prime factors of l.
2
Let c = -5 + 7. Let k(x) = 0*x**c - 6*x**2 - 3 + 7 + 3 + x**3 + 6*x. List the prime factors of k(5).
2, 3
Suppose 3*v - 7*v = -220. List the prime factors of v.
5, 11
Suppose -2*h - 6 = 48. Let o = h - -43. List the prime factors of o.
2
What are the prime factors of 31/(24/(-9) - -3)?
3, 31
Let x(m) = -m - 1 + m + 6*m - m. List the prime factors of x(1).
2
Let d be 8/(-10)*5/1. List the prime factors of (-18)/d*4/6.
3
Let g(t) be the first derivative of -t**3/3 - 4*t**2 - 1. Let n(a) = a - 6. Let o be n(0). What are the prime factors of g(o)?
2, 3
Let r be (-2)/(-4)*40/5. Suppose 0 = r*h - 0*h - 72. Let z = 29 - h. What are the prime factors of z?
11
Let z(b) = -b - 3. Let v be z(-4). Suppose 0 = 2*a + a + 18. Let l = v - a. List the prime factors of l.
7
Suppose -4*i - 27 + 86 = 3*q, 2 = i. Let o = -10 + q. What are the prime factors of o?
7
Let q = 1 - -6. Let f(d) = -d**2 + 9*d - 10. Let o be f(q). Suppose -o = -j + 1. List the prime factors of j.
5
Let q(v) be the second derivative of -v**5/60 - v**4/2 - v**3 - v**2/2 + v. Let x(l) be the first derivative of q(l). List the prime factors of x(-11).
5
Suppose -n = -3*n - 4*y - 16, -5*n + y = -4. Let f = n - -5. Suppose f*r - 99 = -2*s, -2*s - 5 - 67 = -4*r. What are the prime factors of r?
19
Let x(o) = -o**2 - 6*o + 7. Let c be x(-7). Suppose 2*m + 5*z + 22 = c, -2*m + 3*z - 38 = -0*z. Let v = 24 + m. What are the prime factors of v?
2
Let k(n) = n**3 + 9*n**2 - 14*n. What are the prime factors of k(-10)?
2, 5
Let v(i) = -i**2 + 4*i + 4. Let c be v(4). What are the prime factors of (-7)/c*(-9 - 3)?
3, 7
Suppose g + 571 = 5*g - 5*t, 0 = -t - 3. List the prime factors of g.
139
Let s = 45 - 15. Suppose 2*h = 5*d + 38, -h + s = -4*d + 2. Let l = -4 - d. List the prime factors of l.
2
Let t(u) = 4*u - 19. Let f(h) = -h + 4. Let z(y) = -11*f(y) - 2*t(y). What are the prime factors of z(4)?
2, 3
Let x(z) = 12*z - 14. Let k(g) = -g + 1. Let q(j) = -42*k(j) - 3*x(j). Let r = -2 - -4. What are the prime factors of q(r)?
2, 3
Suppose -3*k = -7*n + 6*n - 316, 0 = -5*k + 2*n + 527. What are the prime factors of k?
3, 5, 7
Let f = 73 + -134. What are the prime factors of f/(-3) + (-18)/(-27)?
3, 7
Suppose -a - w - 3*w + 55 = 0, -4*a + 4*w = -300. List the prime factors of a.
71
Suppose 3*p - 105 = -4*l, -4*p + 60 = 3*l - l. List the prime factors of ((-8)/(-6))/(2/l).
2
Let a = -145 + 203. List the prime factors of a.
2, 29
Let q(c) = 25*c - 2. What are the prime factors of q(1)?
23
Let i(r) = -4*r. Let t(q) = -q**2 + 4*q - 1. Let j be t(4). What are the prime factors of i(j)?
2
Suppose 4*k - 12 + 0 = 0. Suppose -5*l + k + 82 = 0. What are the prime factors of l?
17
Suppose -m - 764 = -5*u, 3*u - 292 - 152 = -3*m. What are the prime factors of u?
2, 19
Suppose -2*j + 0 = -8. Suppose j*u - 38 - 6 = 0. List the prime factors of u.
11
Suppose 70 = -q - 4*q. List the prime factors of 6/q - (-470)/35.
13
Let i(v) = v**3 - 2*v**2 - 3*v - 1. Let u be i(4). Suppose -106 - u = -5*q. List the prime factors of q.
5
Let o = 375 + -72. List the prime factors of o.
3, 101
Let p(o) = -o**2 - 8*o - 5. Let s(y) = -3*y - 1 + 3 + y**2 - 2*y**2 + y. Let l be s(2). List the prime factors of p(l).
7
What are the prime factors of ((-2)/6)/(595/(-588) - -1)?
2, 7
Let f be (-8)/(-12) + (-32)/(-6). What are the prime factors of 32/(-6)*(-9 + f)?
2
Let c(v) be the first derivative of -v**2 - v + 2. What are the prime factors of c(-5)?
3
Let t = 15 - 18. Let c = t + 18. List the prime factors of c.
3, 5
Suppose -p - 5*n = -5*p + 32, -4*n - 13 = p. Suppose 0 = s - 3*l - l + 19, -p*s = 3*l - 3. What are the prime factors of 48/s*(-9)/12?
2, 3
Let r be (-11)/(-3) - 2/(-6). Suppose -4*p = 4*y - 128, -3*p - 5 = -r*p. Suppose 3*u = 3*q + y, 3*q + q = -5*u. What are the prime factors of u?
2
Let n(t) = 5*t. Let c be n(4). Let k(i) = -i**3 - 7*i**2 - 4. Let r be k(-7). Let o = c + r. What are the prime factors of o?
2
Suppose -9*t = -5*t + 292. List the prime factors of (-7)/21 + t/(-3).
2, 3
Suppose -7 = -f - 4. List the prime factors of f.
3
Suppose 6*v = 3*v + 93. List the prime factors of v.
31
Suppose 2*t + 2 = -2, 4*h - 172 = 2*t. What are the prime factors of h?
2, 3, 7
Let u be (-8)/(-3) + (-4)/6. Let x = 10 + u. What are the prime factors of (114/x)/(1/2)?
19
Suppose 2*k + 0*j - 100 = 3*j, -5*k + 250 = -4*j. List the prime factors of k.
2, 5
Suppose -b = 3*o - 4*o - 44, -5*b - 5*o + 200 = 0. What are the prime factors of b?
2, 3, 7
Suppose 0 = -5*u - 4*x + 6, -3*x + 7 = 5*u - 0. Suppose 2*c = z, 9 = -u*z - 5*c - 9. Let p = 8 + z. List the prime factors of p.
2
Let m(a) = 6*a - 4. Let v be m(3). List the prime factors of v*2/4*1.
7
Let w(j) = -j - 5. Let n be w(-5). Suppose n = 5*c + 3*q + 13 - 58, 3*c - 13 = q. List the prime factors of c.
2, 3
Let o(b) be the second derivative of b**4/12 - 5*b**3/6 + b**2 - b. Let s be o(4). What are the prime factors of 7 - (1 + s/(-2))?
5
Let v be 1 + (-1 - 1) - 22. Let o = -3 - v. Let w = o - 12. List the prime factors of w.
2
Let k(w) = -w**3 - 4*w**2 + 6*w + 6. Let l be k(-5). List the prime factors of (0/l - 4)/(-1).
2
Let n(q) = -q**3 - 8*q**2 - 3*q + 2. Let a be n(-7). Let t = a - -59. What are the prime factors of t?
3, 11
Suppose -11*d - 25 = -16*d. Suppose -4*z = -3*z - 3*p - 28, 5*z = -d*p + 100. List the prime factors of z.
2, 11
Let d(p) = -p**3 - 3*p**2 - 9*p - 24. What are the prime factors of d(-7)?
5, 47
Let z(g) = 0 - 4 + 1 + 2*g. What are the prime factors of z(4)?
5
Let x = 33 - 17. What are the prime factors of x?
2
Suppose 5*r = 3*c - 115, -4*r - 5*c - 75 = r. Suppose 3*s = -67 - 221. What are the prime factors of s/r - 1/(-5)?
5
Suppose 0*k - 4*k + 416 = 0. Let t be (2 - 1)/(4/k). List the prime factors of -2 + 0 - t/(-2).
11
Suppose 0 = -18*v + 7*v + 1397. What are the prime factors of v?
127
Suppose 0 = 5*o - 5*d + 30, 3*d - 12 + 1 = 2*o. Let i be 4/10 - (-88)/5. Let x = i + o. What are the prime factors of x?
11
Let d(w) = 2*w + 5. Suppose -5*c = -2*c + 4*i - 11, i = -2*c + 9. What are the prime factors of d(c)?
3, 5
Suppose -3*r + 9 - 3 = 0. Let v be r - 4*2/(-4). Suppose -v*s - n = -67, -3*s + 70 - 1 = -3*n. What are the prime factors of s?
2, 3
Let i be (-100)/(-8)*(-6)/(-5). Let n = i - 9. What are the prime factors of (-2 + -3)/((-2)/n)?
3, 5
Let b(w) = -w**3 + 7. Let j be (0 - 0) + 0 - 0. Let o be b(j). Let i(v) = v. What are the prime factors of i(o)?
7
Let m = 60 + -40. Suppose 6*d - 40 = -b + d, -b = d - m. What are the prime factors of b?
3, 5
Let a = 12 - 18. Let k(z) = -6*z - z**2 - z - z + 3. List the prime factors of k(a).
3, 5
Suppose -4*c + 30 = -402. List the prime factors of c.
2, 3
Let q be (-2)/(69/67 - 1). Let l = q - -94. List the prime factors of 2 - l/(-3) - -1.
2, 3
Suppose -2*z - 2 - 4 = 0, -5*z = -2*c + 53. List the prime factors of c.
19
Let r be (-20)/(-25)*(0 + 150). Let g = r - 72. List the prime factors of g.
2, 3
Let z(i) = i**2 - 5*i - 2. Let h be z(5). List the prime factors of (2 + -1)*-2*h.
2
Suppose 70 = -3*b + 5*b. What are the prime factors of b?
5, 7
List the prime factors of 4/22 + 4638/22.
211
Let i = -4 - -7. Suppose i*r = 3*p + 18, 3*p = -r + 2*r + 2. List the prime factors of r.
2, 5
Suppose 4*a - 15 = c - 6, -4*a - 3 = -5*c. List the prime factors of a.
3
Let i be 0/(-1)*(-3)/6. Suppose k + 0*k + 5*u = 16, i = k - 4*u - 16. List the prime factors of k.
2
Suppose -2*k + 19 = 5*t, -6*k + 2*k + 5 = -t. Suppose -2*s + c = -s - 10, -k*s = 2*c - 16. What are the prime factors of s?
3
Let t be (-1)/3 + (-100)/(-12). Let i(w) = w**2 - 8*w + 7. List the prime factors of i(t).
7
What are the prime factors of -3*(40/(-12) + 4) - -143?
3, 47
Let x = -5 - -8. Suppose x*k - f - 13 = 0, k - f = -6*f - 17. Suppose 3*s + 2*v -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 11*o**5 + 6*o**5 - 3*o**5 - 15*o**2 wrt o.
2640*o**2
Find the second derivative of 721 - 262529*q - 2812*q**2 - 262531*q + 525066*q wrt q.
-5624
Let w be 3 + 6/2 + 105. Suppose 13*n = -7 + w. What is the third derivative of -5*l**2 - 3*l**4 - n*l + 8*l - 17*l**2 wrt l?
-72*l
Let q(d) be the second derivative of 4039*d**4/12 + d**3/3 - 5881*d**2 + 5*d - 473. Find the first derivative of q(k) wrt k.
8078*k + 2
What is the third derivative of -347 + 4*g**2 - 2009*g - 2766*g**3 + 4017*g - 2*g**2 - 2011*g wrt g?
-16596
Let d(o) = -1248*o + 940. Let m(c) = -1237*c + 940. Let t(z) = 3*d(z) - 4*m(z). What is the derivative of t(u) wrt u?
1204
Let f(r) be the first derivative of 6313*r**5/5 - r**2 - 1935*r - 7199. Find the second derivative of f(n) wrt n.
75756*n**2
Let v(d) = -4*d + 1. Let q be v(-1). What is the third derivative of -42*h - 5*h**q - 3*h**2 - h**4 - h**2 + 40*h wrt h?
-300*h**2 - 24*h
Let n be (-250)/80 - 2/(-16) - -77. What is the first derivative of -10 - 17 - 27*p + n*p + 26*p wrt p?
73
Let r(f) be the second derivative of 1307*f**6/10 + 7011*f**2/2 - 9951*f. Find the first derivative of r(n) wrt n.
15684*n**3
Suppose -479 = -11*b + 632. What is the first derivative of 0 - 3 + b + 19 + 158*r**4 + 34 wrt r?
632*r**3
Suppose 14*n - 1581 = 365. Differentiate -50 + 84*b + 33 - n with respect to b.
84
Let q(p) = -566*p**3 + 4*p**2 + p - 1. Let r be q(-1). What is the first derivative of -r*o**2 - 5*o**3 + 573*o**2 + o + 34 - o wrt o?
-15*o**2 + 10*o
Let t(o) be the second derivative of 101*o**5/5 - o**4/6 + 381*o**2 + 3*o - 15. What is the derivative of t(x) wrt x?
1212*x**2 - 4*x
Let a(i) be the first derivative of 366*i**3 - i**2 - 9*i - 233. What is the second derivative of a(n) wrt n?
2196
Let s be (-5)/4*588/(-21). What is the second derivative of -2*t**2 - 3*t**2 - 31*t**5 + 67*t**5 - s*t**5 + 25*t wrt t?
20*t**3 - 10
Let s(v) be the second derivative of -163*v**7/2 + 671*v**3 - 4715*v. What is the second derivative of s(y) wrt y?
-68460*y**3
Suppose -42 = -s - 7*g, -48 = -4*s - 4*g - 0*g. Differentiate -14*t**2 - 22 - 7 - 133*t**2 + 9 - s with respect to t.
-294*t
Let b(a) be the third derivative of 7*a**9/36 + 3*a**6/40 + 1151*a**5/60 + 2*a**2 + 519. Find the third derivative of b(g) wrt g.
11760*g**3 + 54
Suppose 4*z + 2977 = 2993. Let p(y) be the third derivative of 0 - 19/3*y**3 + 0*y + 0*y**z - 38*y**2 + 1/20*y**5. Differentiate p(t) with respect to t.
6*t
Let x(c) be the first derivative of -4858*c**5/5 - 44*c**3/3 + c**2 - 5*c + 594. What is the third derivative of x(n) wrt n?
-116592*n
Let v(f) be the third derivative of 397*f**6/24 + f**5/60 - 235*f**4/24 + 669*f**2. Find the third derivative of v(j) wrt j.
11910
Let k be (-250)/(-750) - ((-8)/6 - 1). Let x(l) be the third derivative of 0 + 1/6*l**4 - 9*l**2 + k*l**3 + 0*l. Differentiate x(c) with respect to c.
4
Find the second derivative of 251*f + 1884 - 2366*f**5 - 754 - 249*f wrt f.
-47320*f**3
Let k = 348 + -312. Differentiate -k + 117 - 4*h - 80*h**2 + 3*h + 10 wrt h.
-160*h - 1
Let w = 3/110 - -301/55. Let n(g) be the first derivative of 9*g + 11 - w*g**2. What is the derivative of n(q) wrt q?
-11
Find the second derivative of -1842*y**4 - 1011*y**4 - 10436557 + 8*y + 10436090 wrt y.
-34236*y**2
What is the third derivative of 1376*i**4 + 15*i**3 - 96*i**2 - 112*i**2 + 1380*i**4 - 2754*i**4 wrt i?
48*i + 90
Let s(b) be the third derivative of -34 + 0*b**4 + 0*b**5 - 3/10*b**7 + 0*b + 0*b**6 - b**2 - 12*b**3. Differentiate s(j) wrt j.
-252*j**3
Differentiate 2092*m**3 - 183 - 516 - 308 - 373 - 2*m - 3310 wrt m.
6276*m**2 - 2
Suppose -4*l + 1390 = 2*f, 2*f + 25 = -3*f. Suppose -67*p = 12*p - 60830. Find the third derivative of l*i**3 - p*i**3 + 47*i**2 + 377*i**3 wrt i.
-258
Let o(h) = -h. Let u be o(-3). Let v(g) = g - 12. Let d be v(19). What is the second derivative of -d*j**u + j - 4*j**3 - j - 4*j wrt j?
-66*j
What is the second derivative of p - 11482*p**2 + 10302*p**2 - 207*p wrt p?
-2360
Let k(f) be the first derivative of -3936*f**5/5 + f**3/3 + 4*f**2 + 91*f - 1821. What is the third derivative of k(g) wrt g?
-94464*g
Let l be 3/((-3 + 2)/(-1)). Let g be (-70)/(-15) + 1/l. Find the second derivative of 9*d**g + 2*d - 16*d + 1 - 1 wrt d.
180*d**3
Let h be (0 - 4) + -7*(-5 - -4). Find the first derivative of h*o + 44 + 139*o**3 - 3*o - 41 wrt o.
417*o**2
Let x(d) = 1253*d**4 + 9*d**2 - 38*d - 4. Let u(q) = -626*q**4 - 4*q**2 + 19*q + 1. Let p(w) = 9*u(w) + 4*x(w). Find the second derivative of p(g) wrt g.
-7464*g**2
Let k(j) = 7545*j + 26932. Let p(c) = -3772*c - 13477. Let h(g) = 3*k(g) + 5*p(g). Differentiate h(z) wrt z.
3775
Let k(o) be the first derivative of 19*o**3 - 15*o**2/2 - 454*o + 6798. Differentiate k(m) with respect to m.
114*m - 15
Let l(a) = 3*a + 7. Let y be l(0). Let f be y/(-21) - 10/(-3). Find the third derivative of 28*c**3 + 3*c**f - 4*c**3 + 24*c**2 wrt c.
162
Let p(s) be the second derivative of s**6/10 - 2*s**5/5 + 497*s**3/6 + 1716*s. What is the second derivative of p(q) wrt q?
36*q**2 - 48*q
What is the third derivative of -b**2 - 6*b**2 + 808*b**5 - 4*b**3 - 1617*b**5 + 806*b**5 + 3*b**4 - 54 + 2*b**3 wrt b?
-180*b**2 + 72*b - 12
Let b(v) = -7*v**4 + 584*v**3 + 1592*v - 12. Let p(t) = 8*t**4 - 583*t**3 - 1594*t + 14. Let a(q) = -7*b(q) - 6*p(q). Find the second derivative of a(m) wrt m.
12*m**2 - 3540*m
Let i = 433 + -428. Suppose 5*l - 2*l - 17 = -2*f, -2*l = -5*f + 52. What is the second derivative of 2*q**4 + f*q**4 - i*q**4 + 9*q**4 - 15*q wrt q?
192*q**2
Let m be (6 - 3) + 3 - 3. What is the second derivative of m*z + 22*z - 453*z**5 + 21*z + 375*z**5 wrt z?
-1560*z**3
Let d(u) be the second derivative of -41*u**5/20 + 2329*u**3/6 - 178*u. What is the second derivative of d(j) wrt j?
-246*j
Let d be (-3097)/(-57) + (-4)/(-6) + 0. What is the second derivative of -d*a**4 - 45*a**4 + 5 - 5 - 4*a wrt a?
-1200*a**2
Let p = 364 - 192. Let u be (-2)/(-3)*54/12. Find the second derivative of 8*i + u*i**4 - 172 + p wrt i.
36*i**2
Let o(y) = -10*y**4 - 27*y**3 - 9*y**2 - 291*y - 4241. Let f(j) = 2*j**4 + 6*j**3 + 2*j**2 + 73*j + 1060. Let g(a) = -9*f(a) - 2*o(a). Differentiate g(z) wrt z.
8*z**3 - 75
Let w(c) be the first derivative of 2431*c**6/6 + 1640*c**3/3 + c - 2294. Find the third derivative of w(x) wrt x.
145860*x**2
Let t(u) be the second derivative of -7*u**5/20 - u**4/6 + 17*u**3/6 - 2310*u**2 - 9*u + 29. What is the derivative of t(j) wrt j?
-21*j**2 - 4*j + 17
Let g(c) be the second derivative of 76*c - 171/2*c**2 + 0 + 0*c**4 + 28/5*c**5 + 0*c**3. Differentiate g(z) wrt z.
336*z**2
What is the second derivative of -9*y**3 + 64*y + 920*y + 22027*y**2 - 126*y**3 - 22027*y**2 wrt y?
-810*y
Let n(z) be the first derivative of -131*z**4/4 + 8*z**3/3 + 2*z**2 + 125*z + 1311. Find the second derivative of n(o) wrt o.
-786*o + 16
Suppose -13*v + 84 = 19. Let z(k) = -3*k**2 - 97*k - 13. Let b(o) = 3*o**2 + 96*o + 16. Let l(t) = v*b(t) + 6*z(t). Find the second derivative of l(m) wrt m.
-6
Suppose 35*t - 40*t + 910 = 0. What is the third derivative of 41*y**4 - 93*y + 12*y**2 + t*y - 90*y wrt y?
984*y
Let y(n) be the third derivative of 167*n**6/120 + 7*n**5/60 - 353*n**3/3 - 212*n**2 - 2*n. What is the first derivative of y(d) wrt d?
501*d**2 + 14*d
Let b be -16*5/20*-6. What is the third derivative of -2*j**4 - 2*j + 3*j + 4*j - b*j**4 - 8*j**2 - 4*j wrt j?
-624*j
Let d = -1435 - -1437. Let r(y) be the third derivative of 2*y**3 + 0 + 1/10*y**5 + 0*y + 7*y**d + 0*y**4. What is the first derivative of r(c) wrt c?
12*c
What is the third derivative of -2712*z**6 - 2327*z**2 + 4060*z**6 + 920*z**2 wrt z?
161760*z**3
Let i(w) be the third derivative of 0*w + 73*w**2 + 8*w**3 + 0*w**4 + 0 + 31/105*w**7 + 0*w**5 + 0*w**6. Find the first derivative of i(y) wrt y.
248*y**3
Let q(s) be the third derivative of 0*s**6 - 1/24*s**4 - 5*s**2 - 2/7*s**7 + 0*s**3 - 4*s - 67/60*s**5 + 0. What is the third derivative of q(x) wrt x?
-1440*x
Let x(h) be the third derivative of 403*h**8/168 + h**5/30 + 175*h**4/24 - 385*h**2 + 2. What is the third derivative of x(t) wrt t?
48360*t**2
Suppose -21*b + 3 = 3. What is the second derivative of -303*u**2 + 2*u + b + u - 3 - 6*u - 1 wrt u?
-606
Differentiate 1333 - 840 - 2557*y**2 + 494 + 1381 with
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{
"pile_set_name": "DM Mathematics"
}
|
Let m(y) be the third derivative of y**8/6720 - y**6/720 - y**4/12 - 2*y**2. Let k(t) be the second derivative of m(t). Suppose k(c) = 0. What is c?
-1, 0, 1
Factor -4/11*t**2 + 2/11*t + 0*t**3 + 4/11*t**4 - 2/11*t**5 + 0.
-2*t*(t - 1)**3*(t + 1)/11
Let d(k) = k**2 - 2*k. Let f be d(2). Let j(t) be the first derivative of f*t**4 + 2/9*t**3 - 2/45*t**5 + 2/9*t**2 + 0*t + 2. Factor j(b).
-2*b*(b - 2)*(b + 1)**2/9
Let d(y) be the third derivative of y**6/360 - y**5/30 + y**4/8 - 3*y**2. Factor d(u).
u*(u - 3)**2/3
Let p = -74/153 + 12/17. Factor 0 + p*a**3 + 2/9*a + 4/9*a**2.
2*a*(a + 1)**2/9
Suppose 2*f - 6 = -0*f. Let d(i) be the first derivative of -f + 0*i**2 + 1/4*i**3 - 3/4*i. Factor d(t).
3*(t - 1)*(t + 1)/4
Suppose -8 = -5*x + f - 27, 0 = x - 4*f. Let m be -1 + x/(28/(-73)). Let -2/7*a + 0 - 32/7*a**5 - 20/7*a**2 - 80/7*a**4 - m*a**3 = 0. What is a?
-1, -1/4, 0
Let w(n) = -n**2 - 4*n + 12. Let p be w(-6). Let d(u) be the second derivative of -1/30*u**5 - 1/36*u**4 + 0*u**2 - 2*u - 1/90*u**6 + p + 0*u**3. Factor d(r).
-r**2*(r + 1)**2/3
Suppose -1 = -3*z + 2*y - 12, 4*z + 10 = -2*y. Let t be z/(-21) + (-51)/(-84). Find w, given that -3/4 + 3/4*w**2 - 3/4*w**3 + t*w = 0.
-1, 1
Let t(h) = 1. Let q(u) = -5*u**2 - 15*u + 5. Let y(l) = -q(l) + 5*t(l). Factor y(i).
5*i*(i + 3)
Let b(n) = 8*n**2 - 2*n + 1. Let y(u) = -u**2. Let r be (1 - -1)*(-21)/(-2). Let g = -1 - -4. Let a(q) = g*b(q) + r*y(q). What is i in a(i) = 0?
1
Suppose n - 20 = -9*n. Find i such that 0*i - 2/9*i**4 + 0 - 2/9*i**3 + 0*i**n = 0.
-1, 0
Let d(l) be the first derivative of l**3 - 3/2*l**2 + 3 - 6*l. Factor d(x).
3*(x - 2)*(x + 1)
Let i(s) = 4*s**3 - 2*s + 0 - 1 + 1. Let b(l) = -9*l**3 + l**2 + 5*l. Let j(d) = -2*b(d) - 5*i(d). Suppose j(g) = 0. What is g?
-1, 0
Let b(f) be the first derivative of -f**4/4 + f**3 + 3*f - 1. Let u be b(3). Factor -1/4*v**2 + 0 + 0*v - 1/4*v**u.
-v**2*(v + 1)/4
Let i(n) = -n**3 - 14*n**2 - 15*n - 6. Let k be i(-13). Let j be -2 + 8/k + 2. Determine p, given that -4/5 - j*p**4 + 2/5*p**3 - 2/5*p + 6/5*p**2 = 0.
-1, 1, 2
Let q(y) be the first derivative of 1/5*y**5 - 1 + y + 0*y**6 + 0*y**2 - 1/21*y**7 + 0*y**4 - 1/3*y**3. Let v(a) be the first derivative of q(a). Factor v(d).
-2*d*(d - 1)**2*(d + 1)**2
Let n(v) be the first derivative of 9/4*v**4 - 1/2*v**6 + 2 + 3*v**2 + 3/5*v**5 + 0*v - 5*v**3. Factor n(g).
-3*g*(g - 1)**3*(g + 2)
Let r be 1 - (-2)/(-2)*-2. Factor -4*a**2 - 7*a + a**2 + 2 + a**2 + 7*a**r.
(a - 1)*(a + 1)*(7*a - 2)
Let j be 3 - 2*(-1 - 0). Let 6*q**4 + q**j - 8*q**4 + q**3 + 4*q**4 = 0. Calculate q.
-1, 0
Let p be (-1)/9*(-3 - -4). Let u = p + 13/36. Find x, given that -u*x**2 + 1/2 - 1/4*x = 0.
-2, 1
What is x in 0 + 8/7*x**2 + 2/7*x**5 + 8/7*x - 6/7*x**3 - 4/7*x**4 = 0?
-1, 0, 2
Suppose -5*q + 0*g - 18 = -2*g, -3*g = 3. Let j(c) = -c**3 + c - 1. Let s(b) = 6*b**3 + 2*b**2 - 4*b + 4. Let o(p) = q*j(p) - s(p). Factor o(r).
-2*r**2*(r + 1)
Let c = -1/155 - -47/2480. Let r(n) be the second derivative of c*n**5 + 1/12*n**4 + 0 + 5/24*n**3 - 4*n + 1/4*n**2. Suppose r(x) = 0. Calculate x.
-2, -1
Let o(x) be the second derivative of x**7/84 + 7*x**6/240 + x**5/60 + x**2 + x. Let l(f) be the first derivative of o(f). Factor l(z).
z**2*(z + 1)*(5*z + 2)/2
Let f(y) = -1. Let w(s) = -s**3 + 2*s**2 + s + 1. Let d(h) = 3*f(h) + w(h). Factor d(p).
-(p - 2)*(p - 1)*(p + 1)
Suppose -3*a + 4 = -8. Let u = a + 1. Factor -z + z**2 + 3*z**3 - z**5 + 0*z**u - z - z**4.
-z*(z - 1)**2*(z + 1)*(z + 2)
Suppose 2*h + 4 = -0*h. Let c be (-2)/4 - h/4. Factor 2/3*o**3 - 2/3*o**2 + 2/9*o + c - 2/9*o**4.
-2*o*(o - 1)**3/9
Let x(b) = -8*b**3 + 4 - 3*b**3 + 5*b**3 + b**2 + b. Suppose 0*m = 5*m + 25. Let d(o) = -5*o**3 + o**2 + o + 3. Let n(y) = m*d(y) + 4*x(y). Factor n(s).
(s - 1)**2*(s + 1)
Let o(v) be the second derivative of -1/10*v**5 + 5*v + 0*v**2 + 1/42*v**7 + 1/6*v**3 + 0*v**6 + 0*v**4 + 0. Factor o(a).
a*(a - 1)**2*(a + 1)**2
Suppose 0 = f + 3*y + 18, -4*f + 2*y + 3 = 5. Let u be f - (1 + 51/(-6)). Find o, given that -2*o**5 + 0 - 3*o**3 + u*o**4 + 0*o + 1/2*o**2 = 0.
0, 1/4, 1
Suppose -3*v - 32 = -5*p, -2*p + 3*v = -18 - 2. Suppose 2*n = -10, -n = -4*u - 2*n + 7. Factor -2/11*k**p + 0*k - 2/11*k**u + 0 + 0*k**2.
-2*k**3*(k + 1)/11
Let o be (5/(-6))/(15/(-12)). Factor o*d**3 - 4/9*d + 0 + 2/9*d**2.
2*d*(d + 1)*(3*d - 2)/9
Let n(x) = x**3 - x**2 - 5*x - 3. Let l be n(-3). Let u = -21 - l. Factor 4/3*s + 0 + 10/3*s**2 + 4/3*s**u.
2*s*(s + 2)*(2*s + 1)/3
Let w be (3 - 3)/(0 - -1). Factor q**5 + q + 1 - 2*q**2 - 2*q**3 - 3*q**4 + 3*q**4 + q**4 + w.
(q - 1)**2*(q + 1)**3
Let q be 2/(-5) - 492/(-30). Let h(i) = i**2 - 16*i + 3. Let x be h(q). Suppose 4/11*p - 10/11*p**2 + 8/11*p**x - 2/11*p**4 + 0 = 0. What is p?
0, 1, 2
Let o(y) be the first derivative of -y**8/6720 - y**3/3 - 2. Let f(w) be the third derivative of o(w). Find b such that f(b) = 0.
0
Let b(p) = p + 1. Let v be b(1). What is n in -4/9*n + 2/9 + 2/9*n**v = 0?
1
Suppose -56 = 2*z - 0*s - 2*s, 4*s + 112 = -3*z. Let w be 1/(-4)*z/6. Find h, given that -1/3 - h**2 + w*h = 0.
1/3, 1
Let z(y) be the first derivative of y**6/24 + y**5/20 - y**4/16 - y**3/12 - 5. Find l such that z(l) = 0.
-1, 0, 1
Let b be 11/(33/(-6)) - (-2 + 0). Factor 1/5*r**3 + b*r**2 + 0 - 1/5*r.
r*(r - 1)*(r + 1)/5
What is u in -6/7 + 12/7*u**2 - 4/7*u**3 + 2/7*u - 6/7*u**4 + 2/7*u**5 = 0?
-1, 1, 3
Suppose 7*i - 10*i = -9. Let l(m) be the first derivative of -1 + 0*m - 1/2*m**4 - 2/5*m**5 + 0*m**2 + 2/3*m**i + 1/3*m**6. What is y in l(y) = 0?
-1, 0, 1
Let n(y) = 84*y**5 - 100*y**4 + 32*y**3 - 8*y + 8. Let v(b) = 56*b**5 - 67*b**4 + 21*b**3 - 5*b + 5. Let j(x) = -5*n(x) + 8*v(x). Factor j(i).
4*i**3*(i - 1)*(7*i - 2)
Factor 392/11*n**2 - 56/11*n + 2/11.
2*(14*n - 1)**2/11
Factor 0*i + 0 - 1/2*i**2.
-i**2/2
Let v(u) = -u + 12. Let p be v(7). Let w = p - 3. Let 21/5*q**w + 3*q + 3/5 + 9/5*q**3 = 0. Calculate q.
-1, -1/3
Let t(u) be the second derivative of -u**8/2240 + u**4/12 - 6*u. Let y(r) be the third derivative of t(r). Determine f, given that y(f) = 0.
0
Let f = 8957/326 + 4/163. Let y = -27 + f. Factor 1/4*r**2 + y*r + 1/4.
(r + 1)**2/4
Let a be 7 + (1 - 3) - -3. Let k = 10 - a. Suppose -2/5*z**3 - 2/5*z - 4/5*z**k + 0 = 0. What is z?
-1, 0
Factor -2/7*m**2 + 2/7*m**4 - 2/7*m**5 + 0*m + 2/7*m**3 + 0.
-2*m**2*(m - 1)**2*(m + 1)/7
Let h(a) = a**3 - 4*a**2 + 2*a - 5. Let w be h(4). Let n = -3 + w. What is i in 6*i + n*i - 4*i - 2*i**3 = 0?
-1, 0, 1
Let u(x) be the second derivative of -x**8/16800 - x**4/6 + 5*x. Let v(y) be the third derivative of u(y). Factor v(r).
-2*r**3/5
Let v(z) be the first derivative of 13*z**4 + 22*z**3/3 - 26*z**2 - 10*z + 4. Let q(j) = -21*j**3 - 9*j**2 + 21*j + 4. Let c(o) = 12*q(o) + 5*v(o). Factor c(x).
2*(x - 1)*(x + 1)*(4*x + 1)
Let c(u) be the first derivative of u**4/4 + 4*u**3/3 + 5*u**2/2 + 2*u - 2. Factor c(b).
(b + 1)**2*(b + 2)
Let b = -6 + 8. Suppose -b = -2*l - 4*i, -1 - 1 = -2*l + 5*i. Let f(q) = -2*q**2 + q + 1. Let j(d) = -d**2 + d + 1. Let u(k) = l*j(k) - f(k). Factor u(v).
v**2
Let n(a) = -5*a**2 + 6*a - 4. Let z(c) = 5*c**2 - 5*c + 5. Let s(m) = -5*n(m) - 4*z(m). Factor s(x).
5*x*(x - 2)
Let m(n) be the second derivative of 2*n**6/15 + n**5/5 - n**4 - 10*n**3/3 - 4*n**2 - n. Factor m(k).
4*(k - 2)*(k + 1)**3
Let k(z) be the third derivative of 1/630*z**7 + 0*z**3 + 1/90*z**5 + 0*z**4 - 1/120*z**6 + 0*z + 0 - 3*z**2. Suppose k(w) = 0. Calculate w.
0, 1, 2
Determine n so that -3/4*n**5 + 1/4*n**2 + 7/4*n**4 + 0 - 5/4*n**3 + 0*n = 0.
0, 1/3, 1
Let g(p) be the first derivative of -126*p**5/25 - 9*p**4/2 + 8*p**3/15 + 4*p**2/5 - 4. Find w such that g(w) = 0.
-2/3, -1/3, 0, 2/7
Let q be 3 + 1*(-3 - -2). Find s, given that 3*s**3 + 6 + 0*s**3 + 15*s**q + 3 + 21*s = 0.
-3, -1
Let m(h) be the first derivative of -h**3/3 - 3*h**2 - 2*h + 1. Let n be m(-5). Factor -4/3*z**2 + 2/3 + 2/3*z**4 + 0*z + 0*z**n.
2*(z - 1)**2*(z + 1)**2/3
Let q(u) = u**5 - 7*u**4 - 11*u**3 + 9*u**2 + 3*u - 9. Let p(s) = s**5 - 6*s**4 - 10*s**3 + 8*s**2 + 3*s - 8. Let x(c) = -7*p(c) + 6*q(c). Factor x(z).
-(z - 1)**3*(z + 1)*(z + 2)
Factor -2 + 2 - 2*c + 2*c**3 - 171*c**2 + c**4 + 170*c**2.
c*(c - 1)*(c + 1)*(c + 2)
Suppose p = -3*p + 8. Factor 2 - 10*j - 2*j**3 + 2*j**2 + p + 6*j**2.
-2*(j - 2)*(j - 1)**2
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{
"pile_set_name": "DM Mathematics"
}
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ivisor of y and x.
51
Suppose 1872 + 6456 - 237 = 29*x. What is the greatest common factor of 217 and x?
31
Let m = -11476 + 14184. What is the greatest common factor of m and 4?
4
Let n = -3712 - -4153. Let a = -2 - -51. What is the greatest common divisor of n and a?
49
Let s(p) = -7*p + 37. Let a(b) = b**3 - b**2 - b + 5. Let y be a(0). Let z be s(y). Calculate the highest common factor of z and 3.
1
Suppose -4*p = 10*p + 9*p - 2898. Calculate the greatest common factor of 990 and p.
18
Suppose 0 = 4*n + 5*v - 9*v - 36, 4*n = 3*v + 37. Suppose -n*o = -394 - 46. What is the greatest common divisor of o and 44?
44
Let b = -862 - -4663. Calculate the greatest common divisor of b and 21.
21
Let l = 19327 - 19135. What is the greatest common divisor of 24 and l?
24
Suppose -851 = -a + 4*y, 13*y = -3*a + 9*y + 2617. Let g = -721 + a. What is the highest common divisor of g and 2?
2
Let d = -22296 - -22606. Let g = 86 + 100. What is the highest common factor of g and d?
62
Let r be (6/(-12))/((-4)/320). Suppose 4*x - r = 4*a, -7*a + 2*a = -2*x + 26. Let p be 8/(-12) + 38/3. What is the highest common divisor of p and x?
4
Suppose 5*d - 4*a = 120, -3*a - 30 = -2*d - 5*a. Let q be 2/(-4) + 11 + (-90)/d. Calculate the highest common divisor of q and 2.
2
Let d(b) = 0 + 33 - 30 - 13*b + 33. Let i be d(-4). Calculate the highest common divisor of i and 12.
4
Suppose 58 = 13*y - 11*y. Suppose -4*g + 23*g - 38 = 0. Suppose -12*k = g*p - 14*k - 56, 0 = -p + 3*k + 26. What is the greatest common factor of p and y?
29
Let z(j) = -j**3 - 7*j**2 - j - 9. Suppose 6 = 3*k + 27. Let x be z(k). Let b be ((-63)/x)/((-13)/(-52)). Calculate the highest common divisor of b and 14.
14
Suppose 113*y - 118*y = -5. Let c be -29*(114/(-12))/(y/2). What is the highest common factor of 29 and c?
29
Let c be 9/21*7 - 9*-1. Let z(o) = 4*o**2 + 2*o - 2. Suppose -2*m = -3*m, 2*m + 2 = r. Let f be z(r). Calculate the highest common factor of f and c.
6
Let l(o) = o**3 + 8*o**2 - 7. Let g be l(-4). Calculate the highest common factor of g and 931.
19
Let u be 228 + (-11 - -7) + 2. Suppose 236 + u = 6*i. Calculate the highest common factor of i and 616.
77
Let b(z) = 278*z**2 - z. Let v be b(-1). Let s(f) = -165*f - 1093. Let n be s(-7). Calculate the highest common factor of n and v.
31
Let s = 2766 - 1646. Let y = -106908 - -106943. What is the highest common factor of y and s?
35
Suppose 7*y - 2*y - 7116 = -4*j, -j = 1. Calculate the greatest common factor of y and 32.
16
Suppose 378*w - 510*w + 660 = 0. Suppose -8 + 20 = -3*c - 5*p, 0 = 2*c + 2*p + 4. What is the greatest common factor of w and c?
1
Let f = -1982 + 1121. Let x = -856 - f. What is the highest common factor of 45 and x?
5
Suppose 0 = 3*q + 7*d - 68 - 8, -4*q + 88 = -4*d. Suppose -498 = -3*p + 3*a, 137 = -4*p + a + 786. What is the highest common divisor of q and p?
23
Let w = -26 + 39. Suppose -2*o = -w + 3. Suppose o*a = 7*a - 90. Calculate the greatest common factor of 30 and a.
15
Let w(k) = -k**3 + 11*k + 5. Let o be w(5). Let l = 64 + o. Let h be (36/(-8))/(l/2). Calculate the highest common factor of 72 and h.
9
Let j(z) = z - 2. Let y be j(14). Suppose y*a = 19 + 77. Let r be 297/a - 1 - (-3)/(-24). What is the highest common factor of 12 and r?
12
Suppose -4004 = -4*y - 5*g - 467, -y + 894 = -2*g. What is the greatest common divisor of y and 777?
111
Let y(b) be the second derivative of b**5/20 + 7*b**4/6 + 19*b**3/6 + 21*b**2/2 - 74*b. Let i be y(-9). What is the greatest common divisor of 51 and i?
51
Let f = -425 + 428. Suppose -4*y = -4*g - 60, y + f*g - 20 = -y. Calculate the highest common divisor of 39 and y.
13
Let g be (9*-1 + 2)*(-5 - -4). Let r be 112/3*(g/28 - -2). What is the greatest common divisor of r and 28?
28
Suppose 19*v - 12 = 7*v. Let o be v + -1 - (-12 + (19 - 9)). What is the highest common factor of 142 and o?
2
Suppose -84*s + 48*s = -55*s + 51110. Calculate the greatest common divisor of s and 10.
10
Let j be 2*(49/(-2))/(-7). Suppose -j*s = 5*s - 1440. Suppose s = 8*z - 4*z. What is the highest common factor of z and 12?
6
Suppose 213*o = 15*o + 376794. Calculate the greatest common factor of 11 and o.
11
Let j = 326 + -32. Suppose 74*c = 14495 - 5171. Calculate the highest common divisor of c and j.
42
Let x = -5 + 70. Let p = -54585 - -54598. Calculate the greatest common divisor of p and x.
13
Let d be -2 - -84 - (315 + -299). What is the highest common factor of d and 9702?
66
Suppose -5*y + 102 = y. Suppose 3*u - 1 - 5 = 0, -3*u = -n + y. Let s = 26 - n. What is the highest common divisor of 27 and s?
3
Suppose 6551*a - 6563*a = -73824. Calculate the greatest common factor of 8 and a.
8
Suppose -3*q - 3 + 9 = 0. Let p = q - -4. Let d(g) = -426*g - 846. Let y be d(-2). Calculate the greatest common factor of y and p.
6
Suppose 4*c = 4*f + 270 + 14, 2*c - 117 = -3*f. Let u = -21 + 15. Let j be (-8)/(-2) - (-3 + 7 + u). Calculate the greatest common factor of j and c.
6
Let m(l) be the second derivative of 2*l**5/5 - l**4/6 + 4*l + 9. Let u be m(2). Calculate the highest common factor of u and 448.
56
Suppose 0*l = 3*l. Suppose l = -3*j + 8*j - 20. Let i(n) = -n**3 - 11*n**2 - 6*n + 42. Let d be i(-10). What is the highest common factor of j and d?
2
Let w be 16/(-12)*3 - (2 + -2 + -7531). What is the highest common factor of w and 78?
39
Let y = 39 - 45. Let w be (4/y)/(-1*12/18). What is the greatest common divisor of 2 and w?
1
Let p(m) = 1032*m + 1788. Let f be p(10). What is the greatest common divisor of f and 12?
12
Let h = -6265 - -6286. Calculate the greatest common factor of h and 3416.
7
Let d(s) = 2*s - 1. Let c be d(2). Suppose c*i + p - 24 = 85, 5*i - 195 = -5*p. What is the highest common divisor of 5 and i?
5
Let a(c) = 3311*c**2 + 33*c + 33. Let r be a(-1). Calculate the highest common divisor of 14 and r.
7
Let q be -1 - (-9 - -1 - 2). Suppose q*u = 1232 + 6058. Calculate the highest common divisor of u and 30.
30
Let i = 2875 + -1869. Let l be (-2)/(-8) - i/(-8). Let s(p) = p**2 - 28*p + 178. Let c be s(20). What is the greatest common divisor of c and l?
18
Let u be (-243 + -2)*(-4 - -1). Suppose 0 = -10*o + u - 275. Calculate the highest common divisor of o and 23.
23
Let a(l) = -l - 4. Let j be a(-9). Suppose j*v = 3*v - 166. Let x = v - -107. What is the highest common factor of x and 216?
24
Let g(i) = 387*i - 299. Let n be g(1). Calculate the highest common divisor of 693 and n.
11
Let x = 71 + 199. Suppose -19*w + 8*w = -594. Calculate the greatest common factor of w and x.
54
Let f(y) = 2*y**3 - 112*y**2 + 5*y - 264. Let a be f(56). Calculate the highest common divisor of a and 2824.
8
Let c(x) = x**3 + 43*x**2 + 28*x + 355. Let i be c(-40). Calculate the highest common factor of i and 30.
15
Suppose 0 = -m + 2*h + 11, 4*h = -m - 1. Suppose -1 = 4*y - 13. Let n(q) = 2*q + 15. Let w be n(y). What is the highest common divisor of m and w?
7
Let y(i) = 16*i - 402. Let j be y(17). Suppose -5*h + 1258 = -0*t - t, 4*h - 998 = -2*t. Let m = j + h. Calculate the greatest common factor of m and 11.
11
Suppose 5*z - i - 79 = 0, 5*i + 14 = 2*z - 13. Suppose 0 = t - z*t + 780. Calculate the greatest common factor of t and 572.
52
Let x = 1 - -44. Let p = -315 + 514. Let d = p - 190. What is the highest common factor of x and d?
9
Let x = 587 + -351. Suppose -x - 114 = -5*z. Calculate the highest common divisor of 21 and z.
7
Let a = -3582 - -3826. Calculate the highest common factor of 13664 and a.
244
Suppose 2851 - 151 = 15*t. Calculate the greatest common divisor of 85 and t.
5
Let a be 6*1817 + -48 + 53 + -17. What is the greatest common factor of 270 and a?
90
Suppose 0 = -5*p + 2*t + 120, -3*t - 17 = -p - 4*t. Suppose -p*k + 1558 = -1676. Calculate the greatest common factor of 3 and k.
3
Let s be (-1 + 14/(-6))/((-14)/21). Suppose -s*p - 5*c = -185, -2*c - 33 = -4*p + 85. What is the highest common divisor of p and 40?
8
Let x be 2/(-6) - 80/(-6). Let b(f) be the first derivative of 3*f**2/2 - 23*f - 586. Let p be b(x). Calculate the highest common factor of 12 and p.
4
Let l be (-342)/66 - ((-2)/11 + 0). Let j be (-2)/7 + (880/(-28))/l. Let t = 12 - 6. Calculate the highest common divisor of t and j.
6
Let y(x) = -2*x**3 - 25*x**2 - 13*x + 12. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
In base 15, what is -502be - -5?
-502b9
In base 11, what is 763 - 3a?
724
In base 7, what is -4 + 433162?
433155
In base 16, what is -30375 + 4?
-30371
In base 6, what is 1503 - 52424?
-50521
In base 10, what is 1714 + 7?
1721
In base 9, what is 47305 + -181?
47114
In base 14, what is 482c - 2d?
47dd
In base 14, what is -30 - 27?
-57
In base 16, what is dc9f8 + 1?
dc9f9
In base 14, what is -a5 + -1211?
-12b6
In base 2, what is 111011110000010 + 110?
111011110001000
In base 13, what is -1 - -7c511?
7c510
In base 14, what is -143 - -85?
-9c
In base 7, what is -3 - -216241?
216235
In base 14, what is c08 + c0?
cc8
In base 6, what is -3 - 30025225?
-30025232
In base 2, what is 100000 - -1011010001100?
1011010101100
In base 8, what is -14 + -137221?
-137235
In base 5, what is 11 + -12131221?
-12131210
In base 3, what is -110010 - -22210?
-10100
In base 6, what is -1053441 - 10?
-1053451
In base 15, what is -99167 - 3?
-9916a
In base 11, what is 4 + 18526?
1852a
In base 14, what is 6b07 + 1?
6b08
In base 2, what is -1000000001100 - -110110?
-111111010110
In base 10, what is -5 - 3895?
-3900
In base 10, what is 3312781 + 3?
3312784
In base 7, what is 41 + -3212?
-3141
In base 10, what is 948284 + 1?
948285
In base 11, what is 6 + 23a1?
23a7
In base 7, what is 206 - 1502?
-1263
In base 16, what is -26e0 - -3?
-26dd
In base 14, what is -54 - -2b8?
264
In base 14, what is -1a - 104?
-120
In base 11, what is 17 + 804a?
8066
In base 8, what is 1242325 + 5?
1242332
In base 12, what is 283a - 20?
281a
In base 12, what is 4 + -2253?
-224b
In base 7, what is 26352 + -10?
26342
In base 5, what is 1402244 + -42?
1402202
In base 10, what is 4 + 118749?
118753
In base 2, what is -100 - 1110010001110100?
-1110010001111000
In base 14, what is -43671 + -1?
-43672
In base 9, what is -444362 - -2?
-444360
In base 9, what is 4 + -807082?
-807077
In base 11, what is 346362 + 3?
346365
In base 7, what is -6305 - 60?
-6365
In base 8, what is -12370 - -46?
-12322
In base 15, what is 175 + -c8c?
-b17
In base 15, what is 95292 - -5?
95297
In base 4, what is -131323 + -311?
-132300
In base 10, what is 3682 + 116?
3798
In base 10, what is -1642232 + -1?
-1642233
In base 2, what is 10000111 + 1000010100?
1010011011
In base 5, what is 3024023 + 33?
3024111
In base 2, what is -10000 + -11111101110111?
-11111110000111
In base 16, what is -3b + 6e11?
6dd6
In base 5, what is 2202121 + 20?
2202141
In base 11, what is 46a35a - 3?
46a357
In base 9, what is -24 - 113?
-137
In base 3, what is 121010 - -12122002?
20020012
In base 4, what is 1233110 + 33?
1233203
In base 10, what is 1153 + 72?
1225
In base 15, what is -102b + 18?
-1013
In base 9, what is 3041 + 46?
3087
In base 6, what is -3250 + -4344?
-12034
In base 7, what is -11321 - -10?
-11311
In base 6, what is -4 - 11114341?
-11114345
In base 4, what is -30111 - 322?
-31033
In base 3, what is -120 + -122012?
-122202
In base 13, what is 92 - -115?
1a7
In base 12, what is 0 + -aba8?
-aba8
In base 5, what is -413130 + 24?
-413101
In base 12, what is -29a - 7469?
-7747
In base 16, what is -28 + 3e?
16
In base 5, what is 2330 + 14?
2344
In base 10, what is 111725 - 6?
111719
In base 11, what is -776 - -27?
-74a
In base 14, what is dc9a51 - -5?
dc9a56
In base 10, what is -1 - 202528?
-202529
In base 16, what is 131 - -29a?
3cb
In base 6, what is -11 + 15022?
15011
In base 14, what is -38bb - -24?
-3897
In base 2, what is 1 - 101000011011111011110?
-101000011011111011101
In base 9, what is -17577 - 250?
-17837
In base 8, what is 5 - -1002062?
1002067
In base 2, what is -11 + 100001000111001100?
100001000111001001
In base 4, what is 30113031 + 33?
30113130
In base 16, what is 4a66 + -2?
4a64
In base 15, what is 6e28c6 + 2?
6e28c8
In base 11, what is 4 - -3686?
368a
In base 9, what is -4686 + 0?
-4686
In base 5, what is 4 - 313103?
-313044
In base 11, what is -3 - 117770?
-117773
In base 5, what is -11124 - 441?
-12120
In base 6, what is -45225 - -121?
-45104
In base 4, what is -1120 + -13110003?
-13111123
In base 2, what is -1011000111 - 1010110110?
-10101111101
In base 5, what is 0 + -10011432?
-10011432
In base 3, what is 22 + 10222211101?
10222211200
In base 7, what is -11632 + 36?
-11563
In base 9, what is 1872 - 502?
1370
In base 12, what is 39 - -205a?
2097
In base 9, what is 1 - 51540?
-51538
In base 10, what is 51812 - -4?
51816
In base 4, what is 32131132100 + -3?
32131132031
In base 11, what is -37922 - 12?
-37934
In base 13, what is -18b + 410?
252
In base 11, what is 108aa8 - 2?
108aa6
In base 14, what is 46 - -155?
19b
In base 11, what is 14 + -2898?
-2884
In base 8, what is 13707 - 2?
13705
In base 14, what is -7 - 118c?
-1195
In base 14, what is -4 - -25a?
256
In base 8, what is -20711 + -172?
-21103
In base 9, what is 51371 + 6?
51377
In base 13, what is -a1449 - 4?
-a1450
In base 16, what is -bed - 33?
-c20
In base 9, what is -136 + 1158?
1022
In base 12, what is -424b5 - 5?
-424ba
In base 6, what is 5230 + 2?
5232
In base 5, what is 200223 - -13?
200241
In base 6, what is -1310 + -25?
-1335
In base 12, what is 1 - -7137?
7138
In base 10, what is 2952909 + -1?
2952908
In base 2, what is -1100010101111111 - -11?
-1100010101111100
In base 15, what is 58b0 - 2?
58ad
In base 14, what is -25b + -761?
-9bc
In base 14, what is 538b - 5?
5386
In base 16, what is -5af - 7?
-5b6
In base 6, what is -4005 + 134?
-3431
In base 8, what is 36773 + 10?
37003
In base 11, what is 3336a7 + -3?
3336a4
In base 10, what is -1104461 + -5?
-1104466
In base 4, what is -13332 - -33?
-13233
In base 2, what is -10010001000 - 101?
-10010001101
In base 9, what is 62876 + 10?
62886
In base 13, what is 2 - -813c3?
813c5
In base 7, what is -6230 + -11?
-6241
In base 5, what is 430 + -12444?
-12014
In base 6, what is 23351 - -515?
24310
In base 11, what is -a241 + 125?
-a117
In base 9, what is -8462 + -58?
-8531
In base 4, what is -320123 + -3103?
-323232
In base 6, what is -311 + 21014?
20303
In base 3, what is 10 + 12100022002?
12100022012
In base 7, what is 1 + 350416?
350420
In base 4, what is 20 - 230132232?
-230132212
In base 5, what is 2203 - -4030?
11233
In base 13, what is 39bbc9 + -1?
39bbc8
In base 6, what is 5514435 - 52?
5514343
In base 4, what is 1312112 - 100?
1312012
In base 6, what is 402440 + -2?
402434
In base 16, what is 1 - 74fe7?
-74fe6
In base 15, what is -a736 + 4?
-a732
In base 12, what is 13 + 8ba?
911
In base 12, what is 42 - -252?
294
In base 16, what is -2 - -854f?
854d
In base 16, what is -80fa - -4?
-80f6
In base 9, what is -1 + -16348?
-16350
In base 10, what is 8979 - -184?
9163
In base 3, what is 0 - 1121101011?
-1121101011
In base 7, what is -431 + -16401?
-20132
In base 4, what is -20202311 + 0?
-20202311
In base 9, what is -6377 - -68?
-6308
In base 14, what is -54a - 7d1?
-d3b
In base 7, what is -42234 + -1116?
-43353
In base 6, what is -11405 - 20?
-11425
In base 3, what is -111222 - -2002110?
1120111
In base 12, what is 246784 - -3?
246787
In base 6, what is -12 + 5030?
5014
In base 2, what is 1110001111 - -10010101101?
100000111100
In base 9, what is -2848675 - 2?
-2848677
In base 16, what is -2 - -3a6b7?
3a6b5
In base 2, what is -11 + -1101000101010110?
-1101000101011001
In base 9, what is 382 + -266?
115
In base 7, what is 2262 - 54?
2205
In base 8, what is -3 - 531151?
-531154
In base 7, what is -31606 + 11?
-31565
In base 12, what is -31b + bb?
-220
In base 4, what is -11020 - -11222?
202
In base 14, what is 1c7 - -36?
21d
In base 5, what is 1343422 + -32?
1343340
In base 4, what is 2330102131 - -2?
2330102133
In base 11, what is 36 + -5417?
-5391
In base 16, what is 117 + 22e6?
23fd
In base 7, what is -23 - -134356?
134333
In base 7, what is 20224 - 355?
16536
In base 9, what is -187 - 2?
-200
In base 2, what is 10001010 - 111011101000?
-111001011110
In base 5, what is 1113 - 2313?
-1200
In base 9, what is 7 + -258?
-251
In base 8, what is -5656352 + 4?
-5656346
In base 15, what is 3746 + -4?
3742
In base 14, what is 34c - -41?
38d
In base 7, what is -22 - 1524164?
-1524216
In base 15, what is -10 - 10c8?
-10d8
In base 13, what is -1246c0 + -6?
-1246c6
In base 16, what is 2 - -4323d?
4323f
In base 3, what is 11 + -12101220?
-12101202
In base 11, what is -5 + 13428?
13423
In base 15, what is e9 + -96?
53
In
|
{
"pile_set_name": "DM Mathematics"
}
|
s 31 - 556?
-525
In base 11, what is -1a9 - -1478?
127a
In base 8, what is -12 - -44557?
44545
In base 5, what is 113400 - 23?
113322
In base 2, what is 10000111101101 - -101100?
10001000011001
In base 4, what is 213112 - -12?
213130
In base 6, what is 1 - -3314?
3315
In base 12, what is -16 - 22711?
-22727
In base 16, what is 3a973 + 1?
3a974
In base 11, what is 153 - -40?
193
In base 5, what is -121404241 - -1?
-121404240
In base 11, what is 59795 + -4?
59791
In base 7, what is 3212 + -212?
3000
In base 10, what is -100 - 965?
-1065
In base 12, what is -106472 - b?
-106481
In base 11, what is 3 - aa37?
-aa34
In base 13, what is 0 - 239697?
-239697
In base 4, what is 10232012 + 23?
10232101
In base 7, what is 55116 + 4?
55123
In base 5, what is -4 - -4442433?
4442424
In base 11, what is 24251 + 1?
24252
In base 14, what is -66c - 29?
-697
In base 13, what is 15 + -3960?
-3948
In base 7, what is -1501 - -413?
-1055
In base 16, what is f49f + -f?
f490
In base 13, what is 32b6b6 - 2?
32b6b4
In base 13, what is 1036 + -63?
ca3
In base 2, what is 1011101000011 + -1011011000?
1010001101011
In base 6, what is -2004325 - -10?
-2004315
In base 4, what is 211103210 - -101?
211103311
In base 3, what is -1112201011 + 0?
-1112201011
In base 3, what is -2 - 10211000000?
-10211000002
In base 8, what is 1 + 162056?
162057
In base 2, what is 111010010000111 + -1?
111010010000110
In base 13, what is -298 - 49c?
-767
In base 4, what is -10 - 10103233302?
-10103233312
In base 4, what is -202020 + -1?
-202021
In base 4, what is 1021 + -30001?
-22320
In base 6, what is 41352 - -23?
41415
In base 5, what is -10 - 22300244?
-22300304
In base 5, what is -1331 + -410?
-2241
In base 2, what is 100000011 + -101101?
11010110
In base 11, what is 32686 + -1?
32685
In base 14, what is 9 - -5a2b0?
5a2b9
In base 2, what is 10100 + 10111010000110?
10111010011010
In base 15, what is 2 - -97545?
97547
In base 5, what is 233424231 + 10?
233424241
In base 7, what is 24421 + -15?
24403
In base 14, what is 43 - 8295?
-8252
In base 3, what is 100101 + 1?
100102
In base 3, what is 220011 + -12221222?
-12001211
In base 14, what is -1ad2 - b5?
-1ba7
In base 3, what is 22010202201 - 10?
22010202121
In base 9, what is 2772 + -6?
2765
In base 9, what is -4063 - -1501?
-2462
In base 4, what is -31310 + 31?
-31213
In base 3, what is 10220211210 - 102?
10220211101
In base 2, what is 110100110011101000110 + 100?
110100110011101001010
In base 10, what is 1 - 190742?
-190741
In base 5, what is -104231423 + 4?
-104231414
In base 16, what is -9f - -77?
-28
In base 10, what is 877024 - 1?
877023
In base 5, what is 404444 + 0?
404444
In base 12, what is -1 + 99a?
999
In base 10, what is -12 + -9169?
-9181
In base 11, what is 4 + -a8942?
-a8939
In base 2, what is -1000000010 + 1000?
-111111010
In base 3, what is 110001112 - 1?
110001111
In base 3, what is -1110220 + -2212?
-1120202
In base 13, what is 3 - -8a376?
8a379
In base 11, what is -10839 - 9?
-10847
In base 12, what is -9b629 + 1?
-9b628
In base 5, what is -10 + -11112434?
-11112444
In base 13, what is -3 - -301b6?
301b3
In base 11, what is 0 - -133820?
133820
In base 12, what is 211 + 64?
275
In base 9, what is 6 - -1172?
1178
In base 2, what is -1101 - 1101100101100011?
-1101100101110000
In base 6, what is 22234 - -22?
22300
In base 13, what is 10b - -119?
227
In base 15, what is 39b578 + 3?
39b57b
In base 16, what is -3 + -a7a7f?
-a7a82
In base 4, what is -101 + 3213202?
3213101
In base 8, what is 2715 + 15?
2732
In base 10, what is -65 + 6392?
6327
In base 10, what is 19351 + -4?
19347
In base 12, what is -5 + -1312b6?
-1312bb
In base 10, what is -1 - -29404?
29403
In base 10, what is 16 - 22298?
-22282
In base 8, what is 264 + -405?
-121
In base 16, what is -e56 - 2?
-e58
In base 5, what is 110 + 4002130?
4002240
In base 14, what is -11 + ba6?
b95
In base 9, what is -162578 + -3?
-162582
In base 13, what is 1a66a0 - -2?
1a66a2
In base 8, what is 464 + -2577?
-2113
In base 16, what is 22 + -5b?
-39
In base 8, what is 3 + -160470?
-160465
In base 3, what is -1002110222 + 11?
-1002110211
In base 12, what is 1321 - -7?
1328
In base 8, what is 20 + -123517?
-123477
In base 5, what is 1 - -1142001?
1142002
In base 12, what is 5a2 + 19?
5bb
In base 8, what is -557532 - 2?
-557534
In base 11, what is 551 - 55?
4a7
In base 14, what is a2 - 42?
60
In base 6, what is -334 - 255544?
-300322
In base 12, what is -2a + -11a26?
-11a54
In base 15, what is -49 + 40?
-9
In base 14, what is 42b0b - 4?
42b07
In base 16, what is 33af - -39?
33e8
In base 5, what is -300110 - 101?
-300211
In base 7, what is -136 - 2013?
-2152
In base 14, what is -328d - 3?
-3292
In base 5, what is 12 - -14013?
14030
In base 15, what is 4e - d66?
-d17
In base 4, what is -2 + 1001212001?
1001211333
In base 15, what is -5 + 20c82?
20c7c
In base 5, what is -4 - -3340403?
3340344
In base 4, what is 112222021 - 30?
112221331
In base 16, what is -d6d5 + -4?
-d6d9
In base 6, what is -230451 + 101?
-230350
In base 4, what is 231031 + 2211?
233302
In base 8, what is -1 + -13326?
-13327
In base 15, what is ade4 + 47?
ae3b
In base 12, what is -3 - -40250?
40249
In base 13, what is 42cc1 + 8?
42cc9
In base 2, what is -1011100001 + 1010011100?
-1000101
In base 8, what is -457 + 151?
-306
In base 6, what is -140 - 34525?
-35105
In base 16, what is -173f + -1?
-1740
In base 7, what is -5 - 411125?
-411133
In base 3, what is 12 - 2121020011?
-2121012222
In base 2, what is -101000 - -10000101000?
10000000000
In base 14, what is -1b - 2828?
-2845
In base 10, what is 1516 - 5?
1511
In base 9, what is 1847 + -14?
1833
In base 4, what is -210213 + -3300?
-220113
In base 2, what is -111000 - 110010110?
-111001110
In base 14, what is -16c - 263?
-3d1
In base 14, what is -3b45d + -3?
-3b462
In base 6, what is 31 + 2311?
2342
In base 3, what is 10 - -120121211001?
120121211011
In base 3, what is 100222200210 + 1?
100222200211
In base 5, what is 302 - 12014?
-11212
In base 7, what is -3221 + -264?
-3515
In base 8, what is 45262 - -3?
45265
In base 16, what is -cf6 - 3?
-cf9
In base 13, what is 8 - -2512?
251a
In base 2, what is 101 + -10100000110010?
-10100000101101
In base 3, what is 1122112202121 - -12?
1122112202210
In base 3, what is 21 - -22202120?
22202211
In base 10, what is -22450 - 5?
-22455
In base 16, what is -43 - -24e2?
249f
In base 5, what is 24 - 312013?
-311434
In base 8, what is -101 - -5352?
5251
In base 8, what is -4302 + 15?
-4265
In base 11, what is 10a816 - -5?
10a820
In base 11, what is 111 - 2229?
-2118
In base 6, what is 5 + -3210445?
-3210440
In base 2, what is 101000010011001 - 11111?
101000001111010
In base 3, what is -1102012101012 + 2?
-1102012101010
In base 10, what is 5 - -553682?
553687
In base 7, what is -1342530 - 0?
-1342530
In base 5, what is 21202 - 131?
21021
In base 5, what is 134 + -1201021?
-1200332
In base 6, what is 10 + -30342?
-30332
In base 4, what is -3 - 2111311?
-2111320
In base 2, what is 1001 - -101000101?
101001110
In base 9, what is 43 + 16772?
16825
In base 15, what is 0 + 71032?
71032
In base 8, what is -1412 - -430?
-762
In base 13, what is 1 + 27a59?
27a5a
In base 5, what is -3 + 332211?
332203
In base 7, what is 25564 + 1144?
30041
In base 16, what is -3 - -56ee?
56eb
In base 3, what is -221012 + 121?
-220121
In base 9, what is -428774 + 17?
-428756
In base 4, what is -113 + 133101?
132322
In base 15, what is 53 + -2b3a?
-2ad7
In base 3, what is -2 + -2202010?
-2202012
In base 13, what is -227 + -2033?
-225a
In base 14, what is 1d + 6d?
8c
In base 13, what is -3 + 194217?
194214
In base 7, what is -3150 + -1336?
-4516
In base 14, what is 6 + -8640?
-8638
In base 3, what is 102000121210211 + 1?
102000121210212
In base 6, what is 11 + 502522?
502533
In base 4, what is -33222 + 110332?
11110
In base 2, what is -110 - -1000101010000?
1000101001010
In base 8, what is -1 - -5171?
5170
In base 16, what is -48d6 - -2?
-48d4
In base 3, what is 102221212120 - -2?
102221212122
In base 5, what is 440032 - 1?
440031
In base 7, what is 114 + -316?
-202
In base 12, what is abb + -86?
a35
In base 8, what is -131730 - -3?
-131725
In base 9, what is -80 + 18511?
18421
In base 7, what is -1 + 1313624?
1313623
In base 7, what is 14 - -252120?
252134
In base 11,
|
{
"pile_set_name": "DM Mathematics"
}
|
ert 9 (base 13) to base 10.
9
What is -75 (base 15) in base 4?
-1232
15 (base 14) to base 2
10011
-100011 (base 2) to base 5
-120
Convert -30 (base 4) to base 9.
-13
11 (base 16) to base 4
101
-9 (base 14) to base 5
-14
What is 31 (base 6) in base 4?
103
Convert -55 (base 8) to base 12.
-39
What is -57 (base 15) in base 7?
-145
-75 (base 13) to base 2
-1100000
Convert -3 (base 10) to base 15.
-3
What is -20 (base 9) in base 3?
-200
Convert -56 (base 15) to base 9.
-100
-102 (base 5) to base 10
-27
Convert 12 (base 15) to base 10.
17
Convert -1 (base 15) to base 9.
-1
Convert 2 (base 4) to base 8.
2
Convert -17 (base 13) to base 6.
-32
Convert -303 (base 4) to base 16.
-33
What is 3 (base 9) in base 3?
10
What is -a (base 11) in base 14?
-a
What is -4 (base 14) in base 3?
-11
Convert 3 (base 13) to base 15.
3
-7c (base 16) to base 15
-84
What is 2 (base 6) in base 14?
2
33 (base 6) to base 12
19
What is -3 (base 11) in base 6?
-3
Convert -2 (base 7) to base 5.
-2
Convert -19 (base 12) to base 4.
-111
Convert -25 (base 7) to base 2.
-10011
12 (base 3) to base 9
5
-41 (base 5) to base 14
-17
Convert -4 (base 8) to base 10.
-4
-17 (base 13) to base 7
-26
-240 (base 5) to base 15
-4a
Convert 36 (base 9) to base 13.
27
-111000 (base 2) to base 12
-48
What is -2 (base 7) in base 14?
-2
What is 14 (base 8) in base 6?
20
What is 11001111 (base 2) in base 15?
dc
-3 (base 4) to base 13
-3
Convert -5 (base 9) to base 2.
-101
What is 5 (base 7) in base 8?
5
What is 273 (base 11) in base 16?
142
Convert -1 (base 13) to base 6.
-1
What is -1 (base 15) in base 11?
-1
9b (base 12) to base 4
1313
31 (base 4) to base 8
15
Convert 12 (base 16) to base 11.
17
What is 20 (base 11) in base 5?
42
-18 (base 10) to base 16
-12
What is 6 (base 10) in base 16?
6
What is -d2 (base 14) in base 6?
-504
What is -1 (base 3) in base 16?
-1
Convert -50 (base 12) to base 7.
-114
-100 (base 2) to base 7
-4
What is 4 (base 13) in base 10?
4
What is -1 (base 10) in base 13?
-1
What is -50 (base 11) in base 5?
-210
14 (base 15) to base 11
18
-3 (base 13) to base 5
-3
What is 6 (base 8) in base 3?
20
Convert -111 (base 2) to base 5.
-12
What is 44 (base 6) in base 13?
22
Convert 2 (base 9) to base 6.
2
Convert 2 (base 13) to base 9.
2
What is -13 (base 16) in base 5?
-34
What is 0 (base 11) in base 4?
0
What is 1 (base 11) in base 6?
1
What is -8 (base 13) in base 2?
-1000
Convert -26 (base 14) to base 8.
-42
Convert 9b (base 15) to base 11.
123
Convert 2 (base 8) to base 6.
2
-1001 (base 2) to base 12
-9
Convert -1 (base 14) to base 3.
-1
Convert 3203 (base 4) to base 13.
146
Convert -336 (base 8) to base 9.
-266
What is -11 (base 4) in base 2?
-101
What is 20 (base 3) in base 6?
10
Convert -11 (base 16) to base 5.
-32
11 (base 4) to base 10
5
What is -10 (base 3) in base 4?
-3
What is 3 (base 10) in base 14?
3
-112 (base 3) to base 13
-11
-306 (base 7) to base 3
-12200
What is -21 (base 4) in base 11?
-9
What is 20 (base 8) in base 11?
15
Convert -3 (base 16) to base 11.
-3
What is 100 (base 3) in base 2?
1001
Convert 31 (base 16) to base 4.
301
-13 (base 7) to base 9
-11
-10 (base 2) to base 4
-2
Convert 50 (base 9) to base 15.
30
What is 216 (base 12) in base 16?
132
11001 (base 2) to base 14
1b
What is 14 (base 7) in base 8?
13
10120 (base 3) to base 6
240
Convert 71 (base 16) to base 5.
423
Convert -1 (base 12) to base 15.
-1
Convert -6 (base 11) to base 7.
-6
What is -4 (base 11) in base 4?
-10
-b (base 13) to base 11
-10
Convert 201 (base 12) to base 8.
441
What is 98 (base 13) in base 5?
1000
-31 (base 9) to base 12
-24
Convert 21 (base 3) to base 14.
7
What is -7 (base 13) in base 4?
-13
-102 (base 4) to base 5
-33
-10010 (base 3) to base 16
-54
What is 6b (base 16) in base 14?
79
Convert 100 (base 2) to base 10.
4
What is -8 (base 9) in base 10?
-8
What is 1010101 (base 2) in base 4?
1111
4 (base 10) to base 14
4
Convert 10100 (base 3) to base 12.
76
Convert -29 (base 13) to base 3.
-1022
-213 (base 5) to base 11
-53
What is -7 (base 12) in base 14?
-7
Convert -1 (base 7) to base 4.
-1
What is 3 (base 12) in base 16?
3
Convert -31 (base 16) to base 9.
-54
Convert -d (base 14) to base 7.
-16
What is 2 (base 15) in base 3?
2
Convert -663 (base 7) to base 15.
-179
What is 22 (base 16) in base 13?
28
What is 33 (base 9) in base 11?
28
-3 (base 5) to base 12
-3
What is -22 (base 6) in base 9?
-15
What is -106 (base 15) in base 3?
-22120
-1 (base 15) to base 3
-1
20 (base 10) to base 6
32
Convert 46 (base 12) to base 7.
105
Convert -2 (base 3) to base 10.
-2
-4 (base 5) to base 4
-10
What is 2 (base 7) in base 4?
2
a (base 11) to base 8
12
What is 0 (base 12) in base 3?
0
What is -a (base 14) in base 2?
-1010
What is -403 (base 7) in base 5?
-1244
What is 16 (base 12) in base 11?
17
-2 (base 15) to base 4
-2
-11011 (base 2) to base 3
-1000
What is 33 (base 5) in base 3?
200
What is -29 (base 14) in base 16?
-25
What is 11 (base 4) in base 16?
5
1d (base 16) to base 13
23
4 (base 13) to base 5
4
What is 0 (base 8) in base 4?
0
11021 (base 3) to base 15
7a
a (base 14) to base 11
a
1100001 (base 2) to base 15
67
Convert -106 (base 8) to base 2.
-1000110
-33 (base 10) to base 3
-1020
1200 (base 4) to base 14
6c
112 (base 4) to base 5
42
What is -30 (base 6) in base 13?
-15
3 (base 4) to base 15
3
-1 (base 4) to base 16
-1
What is 2 (base 15) in base 4?
2
What is -27 (base 16) in base 3?
-1110
What is 112 (base 9) in base 12?
78
Convert 4 (base 15) to base 11.
4
What is -d (base 14) in base 10?
-13
What is -5 (base 12) in base 14?
-5
What is 100 (base 3) in base 11?
9
What is 36 (base 12) in base 16?
2a
Convert -11 (base 2) to base 6.
-3
18 (base 15) to base 8
27
Convert -2 (base 11) to base 6.
-2
What is 2 (base 7) in base 9?
2
Convert 20 (base 3) to base 4.
12
What is -11 (base 10) in base 5?
-21
What is 2 (base 5) in base 4?
2
What is -9 (base 15) in base 6?
-13
-142 (base 5) to base 15
-32
Convert 6 (base 16) to base 4.
12
Convert 170 (base 12) to base 13.
147
Convert -3 (base 11) to base 2.
-11
Convert 28 (base 12) to base 11.
2a
Convert 53 (base 12) to base 2.
111111
7 (base 16) to base 12
7
Convert 10 (base 9) to base 2.
1001
Convert -1231 (base 5) to base 8.
-277
-3d (base 15) to base 2
-111010
-74 (base 16) to base 9
-138
133 (base 12) to base 15
c3
What is 7 (base 16) in base 13?
7
121 (base 5) to base 6
100
0 (base 14) to base 6
0
105 (base 8) to base 12
59
Convert 21 (base 3) to base 9.
7
-63 (base 16) to base 7
-201
What is -20 (base 4) in base 6?
-12
Convert -32 (base 4) to base 8.
-16
Convert -1 (base 11) to base 3.
-1
Convert 1 (base 4) to base 12.
1
What is 23 (base 11) in base 5?
100
What is 343 (base 6) in base 16?
87
Convert -5 (base 10) to base 4.
-11
What is -3 (base 10) in base 2?
-11
What is 523 (base 6) in base 16?
c3
What is -5 (base 6) in base 12?
-5
What is -19 (base 10) in base 16?
-13
What is -7 (base 14) in base 8?
-7
Convert -a (base 16) to base 10.
-10
Convert 10000 (base 2) to base 3.
121
-b1 (base 16) to base 2
-10110001
-2 (base 3) to base 10
-2
-3 (base 13) to base 4
-3
What is -7 (base 11) in base 3?
-21
Convert -7 (base 13) to base 6.
-11
-3 (base 15) to base 14
-3
Convert 10111 (base 2) to base 9.
25
Convert -13 (base 5) to base 11.
-8
What is -3 (base 11) in base 4?
-3
Convert -2d (base 14) to base 4.
-221
Convert -23 (base 4) to base 11.
-10
What is 33 (base 6) in base 10?
21
What is -6 (base 9) in base 8?
-6
Convert 1 (base 14) to base 3.
1
0 (base 15) to base 5
0
4 (base 6) to base 16
4
-65 (base 8) to base 16
-35
What is d (base 16) in base 4?
31
-302 (base 6) to base 9
-132
-1 (base 16) to base 2
-1
Convert -b7 (base 15) to base 16.
-ac
What is 9 (base 11) in base 9?
10
What is -3 (base 9) in base 3?
-10
Convert -10100 (base 2) to base 10.
-20
What is 10000 (base 3) in base 9?
100
Convert a (base 13) to base 4.
22
113 (base 4) to base 8
27
What is 1 (base 16) in base 5?
1
57 (base 12) to base 7
124
21 (base 3) to base 4
13
What is 4 (base 9) in base 13?
4
Convert -21 (base 5) to base 8.
-13
What is -3 (base 13) in base 9?
-3
-12 (base 4) to base 8
-6
Convert -110 (base 3) to base 10.
-12
-62 (base 8) to base 5
-200
Convert 3a (base 11) to base 10.
43
What is -1b (base 12) in base 15?
-18
Convert -4 (base 15) to base 5.
-4
Convert -6a
|
{
"pile_set_name": "DM Mathematics"
}
|
rue
Which is greater: 329 or 606823/1852?
329
Is 6479743 >= 129594839/20?
True
Which is smaller: -117 or -17/1469?
-117
Which is greater: 38.4616 or 10?
38.4616
Is 0.0774 bigger than -173350?
True
Which is bigger: 0.3 or 586338?
586338
Which is smaller: 0.09 or -585373?
-585373
Which is smaller: 1 or -2340/538721?
-2340/538721
Which is greater: -143409/4472 or -33?
-143409/4472
Are -8/112568409 and -1 non-equal?
True
Which is smaller: -1 or -0.3483747?
-1
Which is bigger: -1086383 or -28245955/26?
-28245955/26
Which is smaller: 1474417609 or 0.1?
0.1
Which is smaller: 29979932 or 29979929?
29979929
Is -1070646 smaller than -334?
True
Is 1/11727573 not equal to 5?
True
Is 0.0429105 at least 37?
False
Is 6018 at least 1.299?
True
Is -6104178 >= -0.1?
False
Do -1/19337810 and 1 have the same value?
False
Which is bigger: 0 or 1/94889994?
1/94889994
Is -1 >= -72/1964213?
False
Which is smaller: -5 or 58/632487?
-5
Is 1 equal to 2/295547559?
False
Which is greater: 1 or -1/204828629?
1
Which is smaller: 61265 or -753?
-753
Is -9965 less than or equal to -5376?
True
Which is greater: -12695 or -850638/67?
-12695
Are 6 and -35147272 nonequal?
True
Which is smaller: -38951800 or -38951801?
-38951801
Which is greater: -181 or -27602/153?
-27602/153
Which is smaller: 4/32176829 or 0?
0
Is -193645 greater than or equal to -193448?
False
Is 93/1238165 less than 1?
True
Is 860 equal to 1411039/1640?
False
Which is greater: 73796806 or 73796809?
73796809
Is 23932449 at most as big as 23932454?
True
Which is greater: 23/1309506 or -1?
23/1309506
Which is smaller: 855.527 or 35?
35
Is -1110 > -1768123/1595?
False
Is -1 < -1706/1027767?
True
Which is greater: 2/17 or 837397?
837397
Is -832374 bigger than -832366?
False
Which is smaller: -7799584 or 0.1?
-7799584
Which is bigger: -1701/25885 or -1?
-1701/25885
Does 6141 = -4686?
False
Is -1 at least as big as -36/1218779?
False
Which is greater: -2.5907 or -159?
-2.5907
Is 7659 greater than 68901?
False
Is 5536628 equal to -14?
False
Which is smaller: 70425 or -8949?
-8949
Which is smaller: 3/16026929 or 1?
3/16026929
Which is bigger: -63666 or -64553?
-63666
Which is smaller: -0.07643 or -0.08367?
-0.08367
Is 631561818 at most 631561818?
True
Which is smaller: -1 or -10/12508901?
-1
Is -1 bigger than 3/39435110?
False
Which is smaller: 2 or 7587/9455?
7587/9455
Is -76424070 at least as big as 2?
False
Does 15857685 = 15857703?
False
Which is smaller: 31813 or -833?
-833
Is -20379712 != -20379665?
True
Which is greater: -1703 or 1818?
1818
Is -125.2 at least 1.9847?
False
Is 3924450 != 3924426?
True
Which is greater: 422/1113 or 0?
422/1113
Which is greater: 1225605/664 or 1846?
1846
Are -14196 and -354907/25 non-equal?
True
Which is smaller: -85013 or -85033?
-85033
Which is bigger: -257725 or -2/229?
-2/229
Is 422973259 >= 422973259?
True
Does 924030 = 924029?
False
Is -60895291 greater than or equal to -60895289?
False
Is 9816844 > 1/3?
True
Are 13 and 34137/2663 equal?
False
Is 1 greater than 68/19021245?
True
Which is greater: 4823/17266 or 1?
1
Is 4/158352995 at most -1?
False
Is -1.71178606 at least -0.2?
False
Which is smaller: 59584666/21 or 2837364?
2837364
Is 0.03240059 at least 2.3?
False
Which is bigger: 8/5 or -2/16971?
8/5
Is -13 at most -98276/7419?
False
Which is smaller: -166221/26 or -4.3?
-166221/26
Is -15/234172466 less than or equal to 1?
True
Which is bigger: -4591511 or -26?
-26
Which is smaller: 77961 or -1049?
-1049
Are 5448711/20 and 272437 equal?
False
Which is bigger: -2404302 or -7212910/3?
-2404302
Is 146007 at most 151720?
True
Is -233.3065 at least -3/2?
False
Is 13512550 greater than 13512550?
False
Is 1 > 7402/68597?
True
Which is smaller: -427375523 or -427375522?
-427375523
Which is smaller: -2180 or 13213?
-2180
Are 1759105 and 1759287 unequal?
True
Which is smaller: -0.11 or -1/10822531?
-0.11
Which is bigger: -605501 or -605505?
-605501
Which is smaller: -1 or 2/270621499?
-1
Is 47427 > -25.4?
True
Is 297 at most 769?
True
Is 9/3832544 less than -1?
False
Which is bigger: -12584515/11 or -1144048?
-12584515/11
Is -10.305778 < -14?
False
Is -2/9 at least as big as 6383487?
False
Which is bigger: -1 or -1010/581473?
-1010/581473
Do -5462291 and -5462283 have different values?
True
Which is greater: -87603816 or -87603817?
-87603816
Is -295 at least as big as -765744/2585?
True
Is 661381/19 at most as big as 34811?
True
Which is bigger: -37231 or -32748?
-32748
Is -421729 smaller than -421753?
False
Which is bigger: 72699883 or 72699885?
72699885
Which is smaller: 6725 or 5131?
5131
Is -1 greater than -552/11299?
False
Which is bigger: -57278631/2 or -28639315?
-28639315
Which is smaller: -14284 or -357128/25?
-357128/25
Are -4/93 and 4607995 equal?
False
Is 1472284.69 greater than -1?
True
Which is greater: 225/18413036 or 1?
1
Which is bigger: 2003863 or 2003714?
2003863
Are 10083904 and 30251710/3 equal?
False
Is 19791419 >= 19791420?
False
Is 10477677 greater than 31433029/3?
True
Is 19690/9 greater than or equal to -0.0265?
True
Is -94/5937 equal to -1?
False
Is -74 <= -7117845?
False
Is 2271075604 equal to 2271075604?
True
Is 366343432 greater than 366343432?
False
Is 1 less than 317/130133?
False
Is 4/13462533 at least 0?
True
Are -11924/133 and -91 equal?
False
Which is bigger: 76714093 or 76714084?
76714093
Do 0 and 13750909 have the same value?
False
Which is bigger: -8350271/5 or -1670053?
-1670053
Which is greater: -1 or 0.2256698?
0.2256698
Which is bigger: -213/171203 or 1?
1
Which is bigger: -99142/37 or 2?
2
Which is greater: 14665925 or 14665928?
14665928
Is -1538233 less than -1538236?
False
Is 349531 less than 349505?
False
Which is smaller: -523.6 or -3.242?
-523.6
Which is smaller: 83254 or -7/1390?
-7/1390
Which is bigger: 1 or 5/174206384?
1
Is -1/128375 at least -49?
True
Which is bigger: -2 or -8488803?
-2
Is -15187550 at least as big as -15187553?
True
Is 1 at least 2/18279289?
True
Which is greater: 120184683 or 120184684?
120184684
Which is bigger: -62216/13485 or -6?
-62216/13485
Is 41 at most as big as 363369/8717?
True
Which is smaller: 1988.9 or 8/621?
8/621
Is -151586 != -151497?
True
Which is bigger: 19355050 or 96775257/5?
96775257/5
Which is greater: 2205931 or 2206015?
2206015
Which is smaller: -1 or 123/789037?
-1
Is -211032 greater than 14?
False
Is 96/29765 greater than or equal to -9?
True
Is 6662/7887 smaller than 2?
True
Does 2/3606185 = -1?
False
Which is smaller: -25973 or 23.3?
-25973
Which is smaller: -1 or 1333/14857?
-1
Is -27555/10201 less than -4?
False
Is 1236913 bigger than -0.03?
True
Which is smaller: 8620/473 or 18?
18
Do 24/212065 and -1.58 have the same value?
False
Is -940 less than or equal to -43/223?
True
Which is bigger: -4/1191911 or 0?
0
Which is bigger: 969459789 or 969459787?
969459789
Are -35088/659 and 0 unequal?
True
Is 79069 greater than -1465?
True
Which is smaller: -189328 or -189348?
-189348
Is 6765 less than -1315.5?
False
Are 1 and 2794/14217 nonequal?
True
Is 1 > -6/869429?
True
Which is bigger: 456/71 or -2371?
456/71
Which is greater: 7295 or 5679?
7295
Which is greater: 0.2 or -14862035?
0.2
Which is greater: 7326/15671 or -1/4?
7326/15671
Which is bigger: -431 or -351295/813?
-431
Are -17674547 and -17674551 unequal?
True
Which is bigger: 3/5 or 19811868?
19811868
Which is bigger: -326934453 or -326934452?
-326934452
Is -35676/71 greater than 5/3?
False
Is -184437/13 equal to 0.2?
False
Which is greater: -1780 or -132684?
-1780
Is 466342/863 bigger than 541?
False
Is -40317622 at least as big as -40317622?
True
Which is bigger: 5336470/13 or 410497?
5336470/13
Is 4 less than 11466338?
True
Is -1/11 != 15782.9238?
True
Which is greater: -0.05 or 22963?
22963
Which is smaller: 42 or 12731?
42
Which is greater: 0.9783 or -2249?
0.9783
Is -1 greater than or equal to -44/320129?
False
Is -5129856/17 smaller than -301756?
True
Which is smaller: -42423927 or -42423920?
-42423927
Is 54 less than 12.448597?
False
Which is smaller: -0.215482 or 2?
-0.215482
Is 3/33574576 at least as big as -1?
True
Which is smaller: 3455048 or 28?
28
Which is bigger: -261 or -29431/113?
-29431/113
Is 0 < -2/6815839873?
False
Is 55329 greater than 608625/11?
False
Is 47853/562 > 86?
False
Are -1 and 1/11014704 equal?
|
{
"pile_set_name": "DM Mathematics"
}
|
383 a factor of 4609727?
False
Is 3 a factor of 25039?
False
Is 106 a factor of 570118?
False
Is 13 a factor of 54881?
False
Does 372 divide 227292?
True
Is 38 a factor of 15705275?
False
Is 33186 a multiple of 16?
False
Is 391710 a multiple of 11?
True
Does 378 divide 2469474?
True
Does 327 divide 30911?
False
Is 3973792 a multiple of 96?
False
Does 16 divide 1249062?
False
Is 68 a factor of 1995392?
True
Is 194 a factor of 1154390?
False
Does 32 divide 15075953?
False
Is 2980278 a multiple of 763?
True
Does 1851 divide 17443824?
True
Does 277 divide 2396262?
False
Is 72 a factor of 307512?
True
Does 12 divide 504275?
False
Is 5902 a multiple of 13?
True
Is 5 a factor of 2063675?
True
Is 38 a factor of 693601?
False
Is 4 a factor of 42012?
True
Does 3 divide 2900670?
True
Is 306300 a multiple of 15?
True
Is 21 a factor of 2229505?
False
Does 34 divide 115600?
True
Is 18 a factor of 10086624?
True
Does 94 divide 2738570?
False
Is 93940 a multiple of 125?
False
Is 18185 even?
False
Does 227 divide 1978751?
False
Is 10 a factor of 43997?
False
Is 9 a factor of 2394522?
True
Does 348 divide 9098730?
False
Is 105264 a multiple of 17?
True
Is 84 a factor of 321185?
False
Is 21 a factor of 230223?
True
Is 32 a factor of 518287?
False
Is 174135 a multiple of 285?
True
Does 261 divide 606303?
True
Is 721 a factor of 5155150?
True
Is 121 a factor of 29811524?
False
Is 983570 a multiple of 5?
True
Is 145301 a multiple of 15?
False
Does 10 divide 580120?
True
Is 12 a factor of 390948?
True
Is 45056 a multiple of 2?
True
Is 29 a factor of 1604193?
True
Is 87 a factor of 7296777?
True
Is 3569 a multiple of 5?
False
Does 53 divide 28302?
True
Does 6 divide 312013?
False
Is 172 a factor of 1184327?
False
Is 13577769 a multiple of 199?
False
Is 1087840 a multiple of 80?
True
Does 21 divide 93621?
False
Does 62 divide 77066?
True
Is 104812 a multiple of 647?
False
Is 15 a factor of 8574?
False
Is 3479388 a multiple of 473?
True
Does 20 divide 6147640?
True
Is 312750 a multiple of 9?
True
Is 277382 a multiple of 14?
True
Is 3603274 a multiple of 38?
True
Is 378 a multiple of 6?
True
Is 1860462 a multiple of 131?
True
Is 202 a factor of 159236?
False
Is 152406 a multiple of 18?
True
Does 2 divide 310580?
True
Is 32 a factor of 64544?
True
Is 9 a factor of 142542?
True
Is 13594 a multiple of 57?
False
Does 9 divide 1547183?
False
Is 63 a factor of 39690?
True
Is 13325246 a multiple of 1738?
True
Is 690532 a multiple of 26?
False
Is 2 a factor of 5989?
False
Is 654866 a multiple of 227?
False
Is 33 a factor of 3144867?
True
Is 6688 a multiple of 8?
True
Does 400 divide 22907355?
False
Is 134 a factor of 71758?
False
Does 9 divide 234324?
True
Does 285 divide 9265461?
False
Does 62 divide 69254?
True
Is 1142953 a multiple of 383?
False
Does 46 divide 478170?
True
Does 194 divide 388000?
True
Is 2605680 a multiple of 12?
True
Does 237 divide 509199?
False
Is 32 a factor of 160763?
False
Is 811966 a multiple of 2?
True
Does 148 divide 3073516?
True
Does 126 divide 3660113?
False
Is 72 a factor of 1496452?
False
Does 38 divide 52516?
True
Does 9 divide 4072732?
False
Is 415 a factor of 933750?
True
Is 2218245 a multiple of 104?
False
Is 1234013 a multiple of 187?
True
Does 5 divide 259917?
False
Is 2 a factor of 294097?
False
Does 3 divide 132873?
True
Is 93258 a multiple of 33?
True
Is 1838868 a multiple of 293?
True
Is 32 a factor of 2103089?
False
Is 15478164 a multiple of 36?
True
Does 557 divide 8215086?
False
Does 312 divide 3569904?
True
Is 811 a factor of 1221366?
True
Does 4 divide 61143?
False
Is 51 a factor of 94911?
True
Is 408 a factor of 212130?
False
Does 10 divide 22070?
True
Does 7 divide 1795941?
True
Is 273 a factor of 5799612?
True
Is 11 a factor of 27665?
True
Is 7987920 a multiple of 415?
True
Is 4491374 a multiple of 710?
False
Is 74 a factor of 1604912?
True
Is 242 a factor of 1958319?
False
Does 27 divide 3507460?
False
Is 478 a factor of 103248?
True
Does 42 divide 9526734?
True
Is 3010574 a multiple of 788?
False
Does 56 divide 218624?
True
Does 28 divide 1024884?
True
Is 5578224 a multiple of 24?
True
Does 135 divide 15524165?
False
Is 5457270 a multiple of 13?
True
Is 74 a factor of 3768450?
True
Does 213 divide 175299?
True
Is 6 a factor of 253068?
True
Is 4 a factor of 11867830?
False
Is 19735208 a multiple of 122?
True
Is 412893 a multiple of 23?
False
Is 34 a factor of 12423712?
False
Does 256 divide 3041280?
True
Is 17 a factor of 99008?
True
Is 9563 a multiple of 2?
False
Does 15 divide 15154?
False
Does 92 divide 694471?
False
Is 15 a factor of 1668308?
False
Is 239 a factor of 315480?
True
Does 32 divide 766400?
True
Is 2 a factor of 215268?
True
Is 81158 a multiple of 31?
True
Is 201948 a multiple of 53?
False
Is 247 a factor of 1203094?
False
Does 226 divide 1877156?
True
Is 28 a factor of 614639?
False
Does 12 divide 718200?
True
Is 1661733 a multiple of 205?
False
Does 353 divide 1431768?
True
Does 29 divide 158572?
True
Is 205 a factor of 13463990?
True
Is 92966 a multiple of 47?
True
Is 2 a factor of 67780?
True
Is 13 a factor of 730184?
True
Is 397 a factor of 25796266?
True
Does 6 divide 5732?
False
Is 20 a factor of 1562612?
False
Is 266763 a multiple of 13?
False
Is 3841764 a multiple of 1556?
True
Is 6 a factor of 697464?
True
Is 56 a factor of 1003352?
True
Does 15 divide 32017228?
False
Is 22 a factor of 29524?
True
Is 5771580 a multiple of 116?
True
Does 897 divide 885534?
False
Is 929877 a multiple of 890?
False
Does 308 divide 734787?
False
Is 52 a factor of 143961?
False
Does 112 divide 2054752?
True
Does 4 divide 192268?
True
Does 7 divide 541768?
False
Is 2845380 a multiple of 564?
True
Does 52 divide 483943?
False
Is 1087945 a multiple of 855?
False
Is 12537 a multiple of 68?
False
Is 15642204 a multiple of 12?
True
Is 18958 a multiple of 8?
False
Does 11 divide 3702039?
True
Is 8531406 a multiple of 43?
False
Does 25 divide 257325?
True
Is 6504354 a multiple of 621?
True
Is 111576 a multiple of 4?
True
Is 1365998 a multiple of 191?
False
Is 48 a factor of 772560?
True
Is 502 a factor of 3061196?
True
Is 112 a factor of 13282528?
True
Does 21 divide 2388477?
True
Is 13 a factor of 34596775?
False
Does 118 divide 873672?
True
Is 5848683 a multiple of 135?
False
Does 232 divide 315984?
True
Does 533 divide 102336?
True
Does 164 divide 39257?
False
Is 6596112 a multiple of 16?
True
Is 34 a factor of 1160196?
False
Is 12 a factor of 241793?
False
Is 15 a factor of 619205?
False
Is 21 a factor of 112245?
True
Is 234786 a multiple of 109?
True
Is 671 a factor of 1219207?
True
Is 22711 a multiple of 13?
True
Does 71 divide 241360?
False
Is 12771562 a multiple of 191?
False
Does 20 divide 30414940?
True
Does 41 divide 1357838?
True
Is 31237 a multiple of 7?
False
Is 2654704 a multiple of 104?
True
Is 207216 a multiple of 12?
True
Is 59 a factor of 463681?
True
Does 3 divide 63579?
True
Is 695 a factor of 1781285?
True
Is 33 a factor of 129360?
True
Is 39 a factor of 3427548?
False
Does 974 divide 2083386?
True
Does 12 divide 219564?
True
Is 22 a factor of 8707?
False
Is 6 a factor of 1270638?
True
Is 2982993 a multiple of 14?
False
Is 10 a factor of 1107430?
True
Is 779073 a multiple of 117?
False
Does 15 divide 1458574?
False
Is 38391 a multiple of 191?
True
Is 4366229 a multiple of 17?
True
Is 308550 a multiple of 275?
True
Is 175 a factor of 279763?
False
Does 13 divide 157472?
False
Is 1347073 a multiple of 791?
True
Is 38 a factor of 1199774?
True
Is 268 a factor of 1091028?
True
Is 49 a factor of 13078852?
False
Is 206 a factor of 370353?
False
Does 199 divide 293679?
False
Does 30 divide 7890?
True
Does 1160 divide 6012280?
True
Does 109 divide 172547?
True
Is 231 a factor of 53361?
True
Does 55 divide 15776805?
True
Is 177 a factor of 7205847?
True
Is 29961635 a multiple of 403?
False
Does 381 divide 3195345?
False
Is 9108 a multiple of 46?
True
Does 431 divide 139964?
False
Does 6 divide 1674618?
True
Is 11 a factor of 1046078?
True
Is 3014175 a multiple of 25?
True
Does 3 divide 224871?
True
Is 246 a factor of 880188?
True
Does 128 divide 237312?
True
Is 301 a factor of 2060079?
False
Does 61 divide 800612?
False
Is 46014 a multiple of 19?
False
Does 30 divide 74220?
True
Is 23 a factor of 171965?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
f -4 and 1963.
-7852
Product of 1265 and -2.
-2530
What is the product of -0.02 and -25?
0.5
Calculate -13*-3.5.
45.5
Multiply -0.9 and 645.
-580.5
10.3 times 0.5
5.15
-0.3*-5169
1550.7
What is 122 times 0.3?
36.6
What is 1.71 times -3?
-5.13
Product of 4 and -0.118.
-0.472
-3 times -0.538
1.614
What is the product of -1.4 and 34?
-47.6
-1 * 1.189
-1.189
-0.5 * 0.095
-0.0475
-0.34 * 0
0
Product of 0.056 and 0.139.
0.007784
-6 * -26
156
-287*-18
5166
What is -0.3 times 269.1?
-80.73
What is the product of 181.7 and 0.04?
7.268
Multiply 0.01 and -109.
-1.09
Calculate -26*-0.949.
24.674
23 * 232
5336
-16 times 712
-11392
Calculate -0.7*463.
-324.1
Work out -0.3 * 1053.
-315.9
Work out 136 * -5.
-680
What is the product of -2 and -172?
344
0.1 times 0.06047
0.006047
5.6*0.08
0.448
-4552*-1
4552
34.58 * -2
-69.16
Calculate -2896*-4.
11584
-4577 * 0.2
-915.4
What is the product of 1 and -0.4?
-0.4
Product of 0.004 and -58.
-0.232
What is -0.1 times 216?
-21.6
Multiply -27.3 and 1.
-27.3
What is the product of 41 and -0.03?
-1.23
0.558 times 0.3
0.1674
-0.9*0.113
-0.1017
Product of 5 and -4.308.
-21.54
What is -0.09 times -180?
16.2
-0.05 * 312
-15.6
Work out 0.3 * -3.05.
-0.915
-0.4 times -0.8
0.32
What is 0.01 times 0.2582?
0.002582
-0.2 times -181
36.2
Calculate 0.4*3.83.
1.532
What is the product of 49 and -14?
-686
Work out 1.1 * -22.
-24.2
Work out -0.2 * 0.533.
-0.1066
-0.0456 * -2
0.0912
What is the product of -0.2 and 598?
-119.6
Work out -22.4 * -14.
313.6
What is the product of 2603 and 5?
13015
37*0.5
18.5
Calculate 0.0431*-0.4.
-0.01724
Work out 2 * -1.73.
-3.46
What is 4.8 times -0.03?
-0.144
Multiply 38.45 and -8.
-307.6
Product of 0.0364 and 3.
0.1092
What is 0.0432 times -0.1?
-0.00432
1.5 * 1012
1518
Calculate -12*-0.0169.
0.2028
-0.5 times -1309
654.5
What is 0.11 times 3?
0.33
4 times 0.1222
0.4888
Work out -0.02 * -1.38.
0.0276
What is the product of 3.602 and 6?
21.612
Product of 2481 and 0.5.
1240.5
0.1 times -10
-1
Work out -13 * -10.
130
0.064 * 12
0.768
0.3*-0.02603
-0.007809
-551 * 3
-1653
What is -0.207 times -0.7?
0.1449
Calculate -2745*-4.
10980
0.6 times -0.2616
-0.15696
2242 * 0
0
-13 times -51
663
-2552*-0.2
510.4
What is 0.1 times -0.6846?
-0.06846
Work out 27 * -2.
-54
-0.5*-102
51
What is -0.03 times 71?
-2.13
Multiply -1.2 and 0.113.
-0.1356
0.2*-0.02
-0.004
Work out 8 * 35.
280
What is -5 times 0.03?
-0.15
What is the product of 142.3 and 0.3?
42.69
Multiply -7393 and -1.
7393
Multiply 0.064 and -11.
-0.704
Work out 335 * 2.
670
Calculate -124*-0.6.
74.4
Multiply -0.38 and -0.1.
0.038
Multiply -0.3 and -0.0195.
0.00585
18 times -5
-90
Work out -20.5 * 4.
-82
Work out 17 * -690.
-11730
What is the product of 0.037 and -0.4?
-0.0148
Work out 0.1 * 3949.
394.9
0.07*0.26
0.0182
Product of 4 and -12.
-48
-361.2 times -0.1
36.12
Work out 0.01524 * 1.
0.01524
Multiply -29.1 and 3.
-87.3
Calculate 44*5.
220
Calculate 0.04*195.
7.8
Multiply 12608 and -3.
-37824
Multiply 0.1 and 0.1.
0.01
Calculate 28*-264.
-7392
Calculate -0.0688*0.1.
-0.00688
Calculate 1.3*489.
635.7
-0.3 times -76.6
22.98
What is -0.3 times 1420?
-426
-1.6 times -0.13
0.208
Work out -23 * -0.3.
6.9
Multiply -2 and -1.2.
2.4
Multiply 0.5 and -61.94.
-30.97
What is 2.6 times -2.16?
-5.616
0.4 times 103
41.2
Work out -5 * -3.8.
19
What is the product of 0.8 and -0.3?
-0.24
Work out -20 * 1.2.
-24
Product of 108 and 20.
2160
What is 0 times 0.25?
0
Work out 14 * 0.038.
0.532
Multiply -2.9 and 29.
-84.1
Product of 0.3 and -24.2.
-7.26
Work out 5.1 * 74.
377.4
-0.2 * 1515
-303
-0.05 * -0.12
0.006
-50.5 times 5
-252.5
What is the product of -0.5 and -12.6?
6.3
What is the product of 0.1763 and 2?
0.3526
-0.1 * -12
1.2
Calculate 505*-3.
-1515
Product of -1 and 101.
-101
-0.559*4
-2.236
-4 times -0.0133
0.0532
2 * 687
1374
What is the product of -6 and -0.0077?
0.0462
Product of -2 and 152.
-304
Calculate -524*1.
-524
What is the product of -87 and 0?
0
What is the product of -86 and 1?
-86
-8076*0.4
-3230.4
23*0.21
4.83
Calculate -77*-0.1.
7.7
-125 times -0.97
121.25
Calculate 1.046*-4.
-4.184
Product of -0.7 and -1.96.
1.372
Calculate 0.03*-452.
-13.56
Multiply 24 and -66.
-1584
What is 146 times -89?
-12994
What is 95 times -0.3?
-28.5
Product of -0.52 and 9.
-4.68
1046*-0.4
-418.4
0.2 * 2.9
0.58
Work out 2 * -14.
-28
What is 0.52 times 0.5?
0.26
What is -2 times 420?
-840
12*0.103
1.236
Multiply -0.4 and 0.066.
-0.0264
1 times 20.5
20.5
Multiply 0.3 and 93.
27.9
-17268*-0.2
3453.6
What is 113 times 0.29?
32.77
Work out -127 * 1.
-127
-2*4.36
-8.72
What is 4.129 times -1?
-4.129
0.05 times 51
2.55
-17 * -12
204
Work out -51 * 89.
-4539
-0.05*-0.069
0.00345
0.1*-2.77
-0.277
Multiply 3 and -0.117.
-0.351
-0.782*0.03
-0.02346
-0.123 * 0.036
-0.004428
Calculate 2589*-1.
-2589
Multiply -6222 and -0.5.
3111
444 times -4
-1776
-0.346 times -0.7
0.2422
3 * 855
2565
-137 * 15
-2055
3 times 7.972
23.916
Calculate -20*-1.
20
-1480*7
-10360
Multiply -2 and 167.
-334
Product of 0.5 and -57.
-28.5
-16.7 times -0.7
11.69
Calculate -5*-318.
1590
What is the product of 1 and -32?
-32
Product of -0.5 and -1665.
832.5
0.1 * 81
8.1
Work out -0.06 * -5.9.
0.354
What is 21 times 96?
2016
2215*-0.5
-1107.5
Calculate 3.238*-0.3.
-0.9714
Work out -2.395 * 0.
0
What is 4 times -30.4?
-121.6
2 times -6
-12
6 times -1096
-6576
-34 * -0.26
8.84
Multiply -0.5 and -3358.
1679
Product of 0.3 and 10.
3
0.03 * -175
-5.25
Product of -0.22 and 0.026.
-0.00572
Calculate 13.6*-31.
-421.6
Calculate -0.1*66.
-6.6
46 * -6
-276
-6*-101
606
Work out 5.8 * 4.4.
25.52
Work out -897 * 5.
-4485
246 * -101
-24846
-3 * 497
-1491
Multiply -21.2 and 2.
-42.4
0.1*-392
-39.2
Work out -118 * 14.
-1652
Work out 18.45 * 0.
0
Product of 5.1 and 0.2.
1.02
What is -3 times 1.4?
-4.2
Work out -695 * -0.5.
347.5
Product of -367 and 21.
-7707
150 times -5
-750
225*-0.3
-67.5
397*-3
-1191
3 * -76
-228
-0.1 * 46
-4.6
Work out -4808 * 0.5.
-2404
Calculate -0.11*4.8.
-0.528
Multiply -0.2 and -41.
8.2
-0.2 times 1290
-258
Calculate -0.5*-10.
5
Product of 5 and 2191.
10955
-0.2*-80
16
581 times -24
-13944
4 * 9.43
37.72
-0.5*-0.503
0.2515
What is 26.76 times -6?
-160.56
37 * 4
148
2*-26.8
-53.6
-331 times -3.5
1158.5
Calculate 0.3*15.7.
4.71
Multiply 0.24 and 8.
1.92
Product of 2 and -93.
-186
What is the product of 0.087 and 55?
4.785
1.391 * -4
-5.564
What is -5 times 0.8?
-4
-501 * -8
4008
-0.16 * 138
-22.08
Multiply -0.16 and 57.
-9.12
Work out -1.4 * 0.
0
-0.34*40
-13.6
Product of -5 and -248.
1240
-0.173*3
-0.519
Work out -0.4 * -3.155.
1.262
-0.01378 * -1
0.01378
What is the product of -5.23 and 3.8?
-19.874
What is -263 times 5?
-1315
What is 947 times -2?
-1894
What is 215.5 times -0.4?
-86.2
Product of -10493 and -0.2.
2098.6
0.2 * -285
-57
-241 times -0.1
24.1
1107 times -4
-4428
Multiply 4 and -0.028.
-0.112
Multiply 2 and -5.
-10
Calculate 0.8*-77.
-61.6
Calculate 587*16.
9392
-104*0.2
-20.8
Calculate -4*-9.
36
What is -580 times 0.18?
-104.4
39.4 * 0.2
7.88
-29 * 0.7
-20.3
0.08 times -17
-1.36
1.68 * -0.1
-0.168
-0.01 * 100
-1
Product of -0.07 and 87.7.
-6.139
-5 times -11.6
58
4*-0.0722
-0.2888
-1.3*4.2
-5.46
Calculate -1983.2*-0.2.
396.64
10 times 309
3090
-0.1*0.068
-0.0068
Product of 0 and -0.8296.
0
What is 1709 times 0?
0
What is 18 times -0.6?
-10.8
Work out 0.027 * -169.
-4.563
Multiply 120 and 0.6.
72
Calculate -1*211.
-211
What is 0.057 times 31?
1.767
3694 * 0.2
738.8
Calculate -0.3*37.
-11.1
4.3 * 0.7
3.01
Multiply 0.085 and -11.
-0.935
Work out 0.2 * 3131.
626.2
Product of 0.2 and 0.0174.
0.00348
What is the product of 1 and -48?
-48
0.1 * 1.5
0.15
0.6*-0.08
-0.048
Product of -11 and 1420.
-15620
Multiply 0.09 and 6.4.
0.576
-238*0.5
-119
-70 * -17
1190
4 times -12
-48
Product of -0.0235 and -0.2.
0.0047
What is the product of 0.5 and -9.26?
-4.63
-18.6*-1
18.6
-135.77*-4
543.08
0.5 times 207
103.5
Multiply 648 and -5.
-3240
Work out 4.35 * 0.15.
0.6525
What is 0.0307 times 1?
0.0307
-2 * 243
-486
Calculate -8588*0.2.
-1717.6
Multiply -22 and 8.
-176
-0.4 times 20
-8
-531 * 9
-4779
Calculate 0.5*-0.037.
-0.0185
146 * 20
2920
Product of 5 and -351.
-1755
What is 2 times -32?
-64
-1282*4
-5128
-0.00205 times -7
0.01435
0.2 * 684
136.8
Work out 1.4 * -7.
-9.8
Product of -1.723 and -4.
6.892
Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
v - 24 = -5*w + 89*v, 0 = -4*w + 4*v - 24. Solve -4*s - z - 14 = 0, 0 = -w*s + 5*s - 3*z + 26 for s.
-4
Let p(y) = -2*y - 24. Let i be p(-10). Let l be i/(-8)*0*(-1 - 0). Solve h = 3*m + 5, l = -2*m - h + 5 for m.
0
Suppose 18 = 4*b - h + 6, 0 = 2*h. Suppose 75 = 4*w + 5*o, -b*w - 4*o + 32 + 24 = 0. Solve -5*q - 5*p - w + 0 = 0, -2*p + 2 = 0 for q.
-5
Suppose 17 = -5*d - i + 103, 0 = d - i - 16. Suppose 0 = 38*l - 32*l. Suppose 4*v + 16 - 1 = -w, l = 4*w + v - 15. Solve -h = -w*q - 23 + 2, 4*q + d = h for q.
-4
Suppose 2*w - 3*x = -3, 0 = w - x + 6*x - 5. Let b be (w - -1)/((-31)/(-279)). Solve 4*a - 3*u + b = 0, 5*a - 2*a + 12 = 4*u for a.
0
Let a be (-1 + 5*-2)/((567/54)/(-21)). Solve 4*i + 18*w - a*w = 0, 0 = 5*i + 3*w - 40 for i.
5
Let w = -8 - -11. Let x = 364 + -360. Solve -w*o - 32 = 5*p, p = -x*p - o - 24 for p.
-4
Let d = 112 - 110. Suppose -6 = -d*y + 2*k - 2, 0 = -4*y - k + 13. Solve z = -n, 5 + 4 = y*z for n.
-3
Let y(j) = 6*j**2 + 11*j + 2. Let s = -132 - -130. Let z be y(s). Solve -4*h - 4*l = -16, -2*h = -5*h - l + z for h.
0
Let v(r) = r**2 - 4*r - 8. Let f be v(6). Let p be (30/(-11 + 5))/((-2)/f). Let a = p + 0. Solve 2*c - n - 4 = -3*n, 2*n - a = -5*c for c.
2
Suppose 2*l + 72 = -0*l. Let a(f) = -f**3 + 8*f**2 - 6*f + 14. Let r be a(8). Let y = r - l. Solve 0 = -o + 3, y*u - 5*o + 16 = 1 for u.
0
Let j be 160 + (1 + -1 - 2). Let g = -145 + j. Solve -3*z - 3*h = 2*h + g, -4*z = -h - 21 for z.
4
Let d = 3072 - 3036. Solve 4*r + 3*j - 4 = 0, 39*r - d*r = -4*j + 3 for r.
1
Let k(b) = -4*b + 30. Let x = -172 + 179. Let y be k(x). Solve -3*s = y*i - 9, -3*s = i - 0 - 12 for s.
5
Let s(w) = -6*w - 54. Let u be s(-9). Suppose -3*b + i + 10 = u, -7*i + 10*i = b - 14. Solve -b*c = -3*y, y + 3*y = -8 for c.
-3
Let b(d) = 34*d - 134. Let z be b(4). Solve -5*v = 3*q + 8, -2*v = -z*q + 7*q + 7 for v.
-1
Let y = 1388 - 1384. Solve 45*q - 47*q = y*s + 10, -5*s + 7 = -4*q for s.
-1
Suppose 4*m - 100 = -m. Let k be ((-308)/(-1232)*(-2 + 2))/1. Solve -4*n = k, -5*u - 2*n + 5*n - m = 0 for u.
-4
Suppose t + 10*t = -382 + 448. Solve -4*f + t = -m, -3 - 27 = 4*f + 5*m for f.
0
Let j = 1316 - 1312. Solve -5*y + j*s + 45 = 0, 0*y + 2*y + 3*s = -5 for y.
5
Suppose -1 = -f - c, 24*c - 16*c = -f - 20. Let k be (-2 - -9)*(2 - 1). Suppose 10*x - k*x = 0. Solve j + 7 = -3*q - x, -26 = f*q - 2*j for q.
-4
Let v(a) = a**2 - 10*a - 15. Let p be v(-2). Suppose -4*b - p = -5*u - 19, -2*u - 6 = -2*b. Solve -10 = -5*s, -b = -0*y + y - 5*s for y.
5
Suppose -37*q + 14*q + 21*q = -30. Solve 4*s + j = -13, 13*s - q*s + 16 = -4*j for s.
-2
Let r(w) = 3*w + 24. Let v(x) = -5*x - 47. Let h(b) = -7*r(b) - 4*v(b). Let k be h(15). Solve -m = 2*s - k*m - 12, -10 = -3*s - 2*m for s.
4
Let c be 24/(-30)*65/(-26). Let g(p) = 3*p + 3. Let j be g(3). Solve 4*x = v - 4, -c*x + 4*x - 4*v = j for x.
-2
Suppose -7*p + 83 = 349. Let r be 19*(p/(-14) + (-6)/(-21)). Let m = r - 52. Solve 5*b - 3*b + m*i + 15 = 0, 12 = -2*b - 2*i for b.
-5
Suppose d + 688*a - 689*a - 3 = 0, -2*d - 4*a = -42. Solve 2*o = 5*x + 17, -o + 10*x = 11*x + d for o.
-4
Let p(m) = -m**3 + 30*m**2 - 29*m. Let k be (12/(-3))/(-2)*(-290)/(-20). Let u be p(k). Solve -2*v - w + 6 = u, v + 3 = -4*w - 1 for v.
4
Suppose -d + 342 = 113*d. Solve f - 8*b = -10*b + d, -2*f + b - 14 = 0 for f.
-5
Let f(u) = -5*u**2 + 23*u + 45. Let y be f(6). Solve 3*n - 5*l - 227 = -205, 4*l = -y*n - 23 for n.
-1
Suppose 0 = 2*d - 3*d + 4. Let u = -168 + 210. Suppose u*y = 32*y. Solve -d*s + 8*s + 16 = y, 0 = -r + 3*s + 7 for r.
-5
Let f(a) be the second derivative of -a**5/20 - 5*a**4/12 - 5*a**3/3 + 4*a - 4. Let t be f(-3). Solve -i + 5*i - g = t, -4*i - g = -4 for i.
2
Let s(b) = 50*b - 2232. Let n be s(45). Solve -m - 9 = -w, 14*m + 4 = n*m + 4*w for m.
-4
Suppose -57 = -21*w + 2*w. Solve -5*j + 4*x = -10, 4*x = w*j + x - 6 for j.
2
Let c be (-4)/(-3)*16/(1728/405). Solve 0 = -z - 5, 2*g - c*z - 17 = -2*z for g.
1
Let j(m) = m**3 - 18*m**2 + 47*m + 137. Let c be j(14). Solve 3*x + 5*n = -11, 10*x = c*x - 2*n for x.
-2
Let i = 304 - 304. Suppose 137 = 7*a - 45. Solve i = -m + 3*w - 15, 2*m + a = w + 4*w for m.
-3
Suppose -4*g - 145 = g. Let j = -54 - g. Let r be (-4)/(-5)*j/(-2). Solve 3*x - r = 3*l - 2*l, -l - 6 = -x for x.
2
Suppose -3*o - 7 = -2*v - 2*o, 2*v - 4*o = 10. Let i be 4 + (-12)/v + 4. Solve -2*u - 14 = -i*u - 4*p, -p = -4*u + 10 for u.
3
Suppose 44*b - 24 = 196. Solve 5*o = 6*g - 2*g - 31, b*g + 5*o - 5 = 0 for g.
4
Let r be ((-3112)/(-1167))/(2/6). Solve 2*l + 27*u + r = 29*u, 5*u - 20 = 0 for l.
0
Suppose 0 = -25*b + 32*b - 35. Suppose f + 5*p - b + 0 = 0, 0 = 3*f - 2*p - 15. Solve 3 = -5*y - 3*u - f, 5*y - u = -4 for y.
-1
Let w(c) = c + 2. Let z be w(-2). Suppose 5*d + 5 = -k, -3*k + z = 4*d - 7. Let n = -4340 - -4342. Solve -k*l - n = 2*s, 3*l = -5*s - 2*l - 5 for s.
-1
Let u = -3471 - -3473. Let i(r) = 2*r - 7. Let x be i(6). Solve 4*c - u - 2 = 0, 0 = -5*y + x*c - 15 for y.
-2
Let n = 6 + -2. Suppose 54*f = 19*f - 175. Let m be f*1*(0 + 2/(-5)). Solve -n*z = -2*g - m, z - 5*z = -g + 3 for z.
-2
Suppose 42*k - 37*k - 3*y = 24, 4*k + 12 = -8*y. Solve -2*r = 2*z - 6 + 14, 16 = r - k*z for r.
1
Suppose 5*l - 5*r = 730, -3*r - 431 = -5*l + 293. Solve 0 = -3*n - 4*m - l + 156, 0 = 5*n + m + 1 for n.
-1
Suppose -7*o = -175 - 70. Let k be 870/o + (-12)/14. Solve -2*l + 0*l - 20 = -4*b, 4*l = 4*b - k for b.
4
Let g(n) = -n**3 - 7*n - 6. Let i be g(-1). Suppose 0 = -0*y - i*y + 6. Solve -y = d - v, -6*d = -d + 3*v + 23 for d.
-4
Let i be -703 + (-27)/(-36)*4. Let s = i - -704. Solve 0 = d + 2*d + 3*t + 3, -2*d + 4 = s*t for d.
-4
Let f be 24*(-4 + 1 + (-99)/(-27)). Suppose 17*w - 18 = f. Solve -4 + 2 = -k - i, 0 = k + w*i + 1 for k.
5
Suppose -4*p = -4*b + 40, 3*b - 5*p = -b + 40. Let k be 5/2*(138/30 + -3). Suppose -8 - k = -4*r, -2*w - 2*r = -b. Solve 2 - 5 = x, -3 = -3*y + w*x for y.
-1
Suppose -81*y = -2631 - 285. Solve 4*u - 4*k = k - y, u = -k for u.
-4
Let s be (-3)/7 + -12*(-4)/14. Suppose 4*p + v = 6*v - 9, 3*v = -s*p + 27. Let r be (20/p + -4)/((-3)/(-6)). Solve 3*j + d + 4 = 0, -r*j - 3*j - 5*d = 10 for j.
-1
Let v = 3632 - 3627. Solve v*z + 27 = -l, 2 = -l - l + 3*z for l.
-7
Suppose -2*b + 80 = -4*a, a + 4*a - 230 = -5*b. Let k be (-40)/8*(b/20 + -3). Suppose 5*x + 7 = 32. Solve -18 = -2*y + x*c, y = k*y + 4*c - 4 for y.
4
Let l be 352/(-12)*30/4. Let o = l + 224. Let w(y) = -y**2 - y + 13. Let m be w(0). Solve u = -4*v - 10, -m = o*u + 5*v + 5 for u.
-2
Let g(o) = 5*o + 15. Let a be g(-10). Suppose -5*u + 209 - 104 = 0. Let l be (a/u)/((-2)/6). Solve x - l*f - 9 = 0, 4*x + 0*f + 2*f + 8 = 0 for x.
-1
Let u(c) be the third derivative of 11*c**4/24 - 3*c**3 - 9*c**2. Let b be u(2). Solve -20 = -q - 5*w, -4*q + 2*w - 10 = b*w for q.
-5
Let x(n) = -n + 2. Let f be x(0). Let j be ((-32)/(-48))/(f/162). Let u = j - 52. Solve 2*g + 5 = g + u*t, -g + 4*t - 13 = 0 for g.
3
Let h(n) = -n**2 - 86*n - 754. Let q be h(-10). Solve 3*v + 2 + 8 = g, -3*g + q = 3*v for v.
-2
Let v(a) = a**3 - 7*a**2 - 5*a - 9. Let c be v(8). Let u be (c - 7)*(-1)/(-2). Solve 3*y - 7 = -u*n, 5*n - 2*n + y - 9 = 0 for n.
4
Suppose -21*w - 4*i = -26*w + 41, -5*i - 45 = -5*w. Solve w*h - g = 29, 2*g = 5*h - 4*h - 13 for h.
5
Let n be (-13)/(-6) - 451/2706. Solve 0 = -15*f + n*w - 19, -14*f = -12*f + 4*w - 6 for f.
-1
Let k = 5585 + -5584. Solve -3*m + k = -4*h, -5*h + 6*h = -4*m + 14 for m.
3
Let k be 2 + -2 + 5/5 - (-23 - -20). Solve -2*z = -k*d - 20, z + 8*d - 11*d - 15 = 0 for z.
0
Let v be (0/22)/28 - -4. Let f be ((-3)/(-2))/(9/12). Solve -v*r + r - f*k + 1 = 0, 6 = -4*r + k for r.
-1
Suppose 0 = 138080*a - 138093*a + 52. Solve r - a*o + 14 = 0, 3*r - 8 = r - 4*o for r.
-2
Suppose 541*w = 555*w - 168. Solve -u + 9*k - w*k - 3 = 0, -5*k = 5 for u.
0
Let a be (((-7)/7)/(1/2))/((-4)/4). Suppose 0*x = 3*x - s - 17, -x - 11 = 3*s. Suppose -5*g + x*g = -4. Solve 5*r = -4*d - 35, -2*r + 8 = a*r - g*d for r.
-3
Let r be 1 + (-44)/22 + (0 - -5). Let h be r + ((-8)/(-4) - 1) + -3. Solve -9 = 3*w + 4*s + 4, -h*w - 2 = s for w.
1
Let d(r) = 674*r - 8080. Let k be d(12). Solve -14*x + 10*x - 4*p - k = 0, 4*x - 5*p - 46 = 0 for x.
4
Suppose -2*k - 6 = 0, -5*i - 4*k = -9 + 11. Solve -t - 8 = 4*z, t - 4*z - 6 - i = 0 for t.
0
Suppose -3*o - 3*g + 156 = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
of sequence qk?
1/7
Calculate prob of sequence fffb when four letters picked without replacement from {b: 2, f: 3}.
1/10
Four letters picked without replacement from iiqaqaaaaaqqiqqaaaq. What is prob of sequence iiqq?
7/2584
Calculate prob of sequence lm when two letters picked without replacement from {l: 5, m: 7, s: 2, p: 5}.
35/342
Four letters picked without replacement from {r: 2, t: 8}. Give prob of sequence rtrt.
1/45
Three letters picked without replacement from nnfaffv. What is prob of sequence fnn?
1/35
Four letters picked without replacement from iiwebsekiskieks. What is prob of sequence iibw?
1/2730
Four letters picked without replacement from gdndeenneennnnndngt. Give prob of sequence egdt.
1/3876
Four letters picked without replacement from eeweww. Give prob of sequence weew.
1/10
What is prob of sequence yy when two letters picked without replacement from {y: 6, z: 2}?
15/28
What is prob of sequence pcpc when four letters picked without replacement from {c: 1, p: 18}?
0
Calculate prob of sequence fx when two letters picked without replacement from xxffff.
4/15
What is prob of sequence uy when two letters picked without replacement from fyfjuyyyffyfyffyyqiu?
4/95
What is prob of sequence jlaa when four letters picked without replacement from ajjjwjadaajwpjajlpdj?
4/2907
Three letters picked without replacement from ptpccpeltptclpe. What is prob of sequence ptl?
1/91
What is prob of sequence gr when two letters picked without replacement from sfgfr?
1/20
What is prob of sequence kph when three letters picked without replacement from {p: 4, h: 2, v: 1, k: 8}?
32/1365
What is prob of sequence ps when two letters picked without replacement from {k: 4, p: 1, r: 1, s: 1, u: 1}?
1/56
What is prob of sequence iht when three letters picked without replacement from {h: 2, k: 1, z: 1, i: 3, u: 4, t: 1}?
1/220
What is prob of sequence bicc when four letters picked without replacement from qqcbccoccichoicico?
7/3060
What is prob of sequence drc when three letters picked without replacement from {c: 1, w: 1, r: 3, d: 1, g: 1}?
1/70
What is prob of sequence ccj when three letters picked without replacement from cccccccccccjc?
1/13
What is prob of sequence ar when two letters picked without replacement from rrrarrararraar?
45/182
Three letters picked without replacement from xddd. What is prob of sequence ddx?
1/4
Four letters picked without replacement from uhyccwh. Give prob of sequence uhcw.
1/210
Calculate prob of sequence yzf when three letters picked without replacement from {r: 1, y: 5, z: 3, f: 11}.
11/456
Calculate prob of sequence hh when two letters picked without replacement from mhqwhqhwqi.
1/15
Three letters picked without replacement from {d: 1, l: 3, t: 1, y: 2, f: 4, q: 4}. Give prob of sequence ftf.
2/455
What is prob of sequence bbd when three letters picked without replacement from bdddddprrrfydbrfffd?
7/2907
Two letters picked without replacement from {m: 2, d: 3, n: 2, i: 4, s: 2, k: 1}. Give prob of sequence ns.
2/91
Three letters picked without replacement from {k: 1, v: 1, a: 6, l: 3, h: 4}. Give prob of sequence vha.
4/455
Four letters picked without replacement from bcbccccbcccc. What is prob of sequence bcbb?
1/220
What is prob of sequence fid when three letters picked without replacement from frdidifiririiidif?
3/170
Four letters picked without replacement from fxfxffx. Give prob of sequence xxfx.
1/35
Four letters picked without replacement from zmuuzuz. Give prob of sequence zzuz.
3/140
Three letters picked without replacement from {q: 7, a: 1, k: 2}. What is prob of sequence qkq?
7/60
Three letters picked without replacement from {z: 1, q: 5, x: 2, n: 1}. What is prob of sequence znx?
1/252
Four letters picked without replacement from {g: 1, a: 1, l: 1, r: 2, f: 1, w: 1}. Give prob of sequence fral.
1/420
Four letters picked without replacement from yyydyd. What is prob of sequence yddy?
1/15
What is prob of sequence sggg when four letters picked without replacement from ssgsggggss?
5/84
Two letters picked without replacement from xrrxrsttruruurut. What is prob of sequence ru?
1/10
Three letters picked without replacement from {c: 5, e: 15}. Give prob of sequence ccc.
1/114
What is prob of sequence mm when two letters picked without replacement from umiiem?
1/15
Three letters picked without replacement from {m: 3}. Give prob of sequence mmm.
1
What is prob of sequence uu when two letters picked without replacement from kkuuuu?
2/5
Three letters picked without replacement from {d: 2, w: 1, m: 1}. What is prob of sequence wdm?
1/12
Calculate prob of sequence jvjj when four letters picked without replacement from vjjzzzjpjjjzvvzzv.
1/119
What is prob of sequence rl when two letters picked without replacement from {x: 1, j: 2, l: 1, r: 1}?
1/20
What is prob of sequence vo when two letters picked without replacement from {o: 1, v: 14}?
1/15
Four letters picked without replacement from {y: 8, f: 4, k: 1, b: 2, o: 4}. Give prob of sequence kbfb.
1/11628
Three letters picked without replacement from {u: 6, h: 3, w: 1, y: 4}. What is prob of sequence uhu?
15/364
What is prob of sequence ss when two letters picked without replacement from {g: 1, s: 5, n: 3, v: 1}?
2/9
Four letters picked without replacement from {i: 17, w: 3}. What is prob of sequence wiww?
1/1140
What is prob of sequence qb when two letters picked without replacement from {n: 3, r: 1, q: 1, b: 1, f: 2, s: 3}?
1/110
Calculate prob of sequence mkr when three letters picked without replacement from rrkmxmmrmmmmrmkmmmxm.
4/285
Two letters picked without replacement from kwwwwvwwwwvwvwww. Give prob of sequence vw.
3/20
Calculate prob of sequence nnr when three letters picked without replacement from nnrnnrnnrrrrrnnnnnn.
154/969
What is prob of sequence oyyx when four letters picked without replacement from {y: 5, o: 4, h: 3, j: 1, x: 1}?
10/3003
What is prob of sequence anx when three letters picked without replacement from {u: 2, a: 1, x: 1, n: 5}?
5/504
Three letters picked without replacement from {e: 8, n: 5}. Give prob of sequence eee.
28/143
What is prob of sequence pq when two letters picked without replacement from aaqqqaapaaaaqp?
4/91
Two letters picked without replacement from xkik. What is prob of sequence ix?
1/12
Two letters picked without replacement from {z: 2, j: 1, a: 1}. Give prob of sequence aj.
1/12
Four letters picked without replacement from {x: 3, e: 9, w: 4}. Give prob of sequence weex.
9/455
Three letters picked without replacement from xxxt. Give prob of sequence xxx.
1/4
Three letters picked without replacement from ooofooooffoffo. Give prob of sequence ofo.
15/91
Two letters picked without replacement from {s: 9, i: 7}. What is prob of sequence ss?
3/10
Two letters picked without replacement from {q: 1, v: 2, c: 1, o: 4}. Give prob of sequence cq.
1/56
Three letters picked without replacement from {q: 3, m: 15}. Give prob of sequence mqm.
35/272
Two letters picked without replacement from {s: 9, o: 2, h: 7, u: 1}. Give prob of sequence su.
1/38
What is prob of sequence ohqu when four letters picked without replacement from rhqqdhhqqrdqhdouhoqh?
1/1615
Four letters picked without replacement from ggooooggoggooogooggo. What is prob of sequence oooo?
22/323
What is prob of sequence sasa when four letters picked without replacement from mmpmasmmmmmpmsmmpaa?
1/7752
What is prob of sequence qcmm when four letters picked without replacement from mmqmmmqqmqmcm?
28/2145
Calculate prob of sequence hthe when four letters picked without replacement from ejqhjtqhqhth.
1/495
What is prob of sequence wzzz when four letters picked without replacement from {w: 4, z: 3}?
1/35
Calculate prob of sequence ugbb when four letters picked without replacement from bghuwuh.
0
What is prob of sequence lv when two letters picked without replacement from lvvkbvk?
1/14
Calculate prob of sequence ss when two letters picked without replacement from {s: 3, o: 7, q: 1, g: 1}.
1/22
What is prob of sequence ulsy when four letters picked without replacement from slwulssuwlywg?
3/2860
Four letters picked without replacement from xahddddhadhavdxh. Give prob of sequence avhh.
3/3640
Three letters picked without replacement from {b: 2, p: 6}. Give prob of sequence pbp.
|
{
"pile_set_name": "DM Mathematics"
}
|
o/4)/(6*(-3)/(-36)). Determine k*s(y) - j(y).
-5*y**2
Suppose -2355 = -36*a - 5*a + 3959. Let l(c) = -c**3 - c**2 - c. Let g(q) = -88*q**3 - 77*q**2 - 77*q. Calculate a*l(t) - 2*g(t).
22*t**3
Let a(w) = 6*w**2 - 24*w**2 - 36*w**2 + 53*w**2. Let g = -10 - -9. Let d(b) = 2*b**3 + b**2 + 1 + 3*b**2 - b**3. Give g*d(h) - 6*a(h).
-h**3 + 2*h**2 - 1
Let j(f) be the second derivative of -7*f**4/12 - 9*f**2/2 - 1256*f. Let q(r) = 10*r**2 + 13. What is -7*j(u) - 5*q(u)?
-u**2 - 2
Let o(z) = z**2 + 85*z + 1515. Let c be o(-25). Let m(a) = 15*a**3 - 15*a**2 - 15*a - 15. Let l(q) = q**2 + q + 1. Give c*l(d) + m(d).
15*d**3
Let x(b) = -32*b**3 + 8*b**2 + 8. Let u(p) = 11*p**3 - 3*p**2 - 3. Let y(t) = t**3 + 12*t**2 - 11*t + 34. Let r be y(-13). Give r*u(v) + 3*x(v).
-8*v**3
Let m(j) = 13*j**2 + 19*j. Let w(l) = 18*l**2 + 18*l. What is -3*m(c) + 2*w(c)?
-3*c**2 - 21*c
Let n(x) = x**3 + 22*x**2 + 22*x + 24. Let l be n(-21). Let d(r) = 4*r**3 + 2*r**2 - r + 6. Let w(p) = -8*p**3 - 3*p**2 + 2*p - 11. Calculate l*w(s) + 5*d(s).
-4*s**3 + s**2 + s - 3
Let x(h) = -h**2 + 2*h. Let v(q) = q**2 + 19*q - 38. Let r be v(-21). Let p(u) = -6*u**2 - 6*u - 1 + 3*u**2 + 11*u + 0*u**2 + 0*u. Determine r*p(f) - 10*x(f).
-2*f**2 - 4
Let g(t) = 26*t**2 - 19*t + 6. Let s(c) = c - 1. Calculate -g(p) - 4*s(p).
-26*p**2 + 15*p - 2
Let r(w) be the second derivative of 45*w**3 - 27*w**2/2 + 37*w. Let s(v) = 49*v - 5. What is -5*r(h) + 27*s(h)?
-27*h
Let c be (-1 + 2)/((-2)/6). Let d be 3 + (5 - 0) + -2. Let w be d/9 + 10/(-6). Let x(a) = -a. Let r(p) = 2*p + 1. Determine c*x(y) + w*r(y).
y - 1
Let s(y) be the second derivative of -3*y - 1/2*y**2 - 1 + 0*y**3 + 1/12*y**4. Let d(b) = -b**2. Calculate -d(p) + s(p).
2*p**2 - 1
Let d(x) be the third derivative of -7*x**4/24 - 5*x**2 - 4. Let r(h) = -20*h. Let v be (325/(-195))/(0 - 10/36). What is v*r(j) - 17*d(j)?
-j
Let a(m) = -6807*m - 8. Let d(u) = -40971324*u - 48153. Calculate 48153*a(s) - 8*d(s).
-6879*s
Let j(d) = -11*d**2 + 3. Let n(m) = -21*m**2 + 7. Suppose 0 = 111*f - 115*f + 8. What is f*n(i) - 5*j(i)?
13*i**2 - 1
Let k(g) = 84*g**2 - 10*g + 62. Let i(b) = 63*b**2 - 7*b + 46. What is -11*i(o) + 8*k(o)?
-21*o**2 - 3*o - 10
Let p(z) = -28*z. Let w(q) be the third derivative of -9*q**4/8 + 2879*q**2. What is 5*p(t) - 4*w(t)?
-32*t
Let g(j) = 5*j - 1. Let m(s) = -11*s + 3. Let f = 12821 - 12830. Give f*g(l) - 4*m(l).
-l - 3
Suppose 530*s = 537*s + 35. Let j(o) = -22*o. Let c(b) = -15*b. Let f(i) = i**2 + 5*i + 1. Let g be f(-6). What is g*c(z) + s*j(z)?
5*z
Let y(p) = 6*p + 8. Suppose 4*k + 41 = 3*c + 9, 38 = -2*k - 4*c. Let x(n) be the second derivative of -n**3/3 - 3*n**2/2 - 2*n - 145. Determine k*x(r) - 4*y(r).
-2*r + 1
Let k(h) = 9*h + 20. Let x(p) = 7*p + 16. Let t(q) = -4*k(q) + 5*x(q). Let o(d) = 24*d. Give -o(i) + 3*t(i).
-27*i
Let j(i) = i - 8. Let o(d) = 2*d - 27. Give 3*j(g) - 4*o(g).
-5*g + 84
Let m(f) = -35169*f + 17587*f - 39*f**3 + 17578*f. Let u(a) = -a. Determine -m(d) + 4*u(d).
39*d**3
Let h(d) = 36*d + 8. Let b(x) = 4*x + 2. Let y(o) be the first derivative of o + 238. Let l(t) = 3*b(t) - 3*y(t). Give 3*h(k) - 8*l(k).
12*k
Let o(b) = -24*b**3 + 498*b**2 + b - 2. Let q(j) = -7*j**3 + 166*j**2 - 1. Determine 2*o(p) - 7*q(p).
p**3 - 166*p**2 + 2*p + 3
Let u(p) = p - 2. Let o be u(3). Let q be (4 + -1)*(-12)/18 + 59. Let w = q - 51. Let y(r) = 2*r - 6. Let f(k) = -k + 1. Calculate o*y(v) + w*f(v).
-4*v
Let h(a) = -7*a**2 + 6*a + 6. Let n = -3506 + 3512. Let w(g) = -8*g**2 + 5*g + 5*g**2 - 4*g**2 + 5. Calculate n*w(c) - 5*h(c).
-7*c**2
Let l(u) = -4*u**3 - 6*u**2 - 7*u - 7. Let p(q) = -9*q**3 - 13*q**2 - 15*q - 15. Suppose -17*t + 15*t = 5*t + 42. What is t*p(r) + 13*l(r)?
2*r**3 - r - 1
Let w = 205 + -386. Let x = w + 97. Let v be x/22 + (-384)/(-66) + -6. Let u(o) = 14*o - 9. Let i(j) = 5*j - 3. Give v*u(d) + 11*i(d).
-d + 3
Let t be (24/(-20)*1520/(-12))/1. Let f = -156 + t. Let c(a) = -6*a**2 + 4*a + 4. Let j(s) = -7*s**2 + 4*s + 5. Calculate f*j(b) + 5*c(b).
-2*b**2 + 4*b
Let m(z) = -11*z + 2. Let b be (-198)/264*(-10)/(-3)*24/20. Let q(c) = -10*c + 3. What is b*m(g) + 2*q(g)?
13*g
Let x(l) = 113278 + l - 56637 - 56637. Let c(k) = k + 5. Let h(t) = t**3 - 5*t**2 + 4*t - 3. Let m be h(4). Give m*x(z) + 2*c(z).
-z - 2
Let l(n) = 2*n**2 + 6*n. Let c(i) = 8*i**2 + 32*i - 68. Calculate c(x) - 5*l(x).
-2*x**2 + 2*x - 68
Let o be (-18)/4 + (-39)/26. Let x(d) = 44 - 52 + 40 - 78 + 47. Let f(v) = -v + 5. Determine o*x(i) + f(i).
-i - 1
Let j(u) = -11453*u**2 + 2*u. Let a(g) = 57165*g**2 - 11*g. What is 4*a(t) + 22*j(t)?
-23306*t**2
Let d(g) = 22*g + 6. Let n(x) = x - 1. Let h(b) = -8*b**3 + 49*b**2 - 3*b - 19. Let i be h(6). What is i*d(m) - 6*n(m)?
-28*m
Let q(o) = 2064*o + 11. Let z(f) = -2063*f - 14. Determine 4*q(j) + 3*z(j).
2067*j + 2
Let j(c) = -1. Let u = -4681 - -4682. Let m(q) = -q**3 - 2*q**2 - 3*q + 1. What is u*m(t) + j(t)?
-t**3 - 2*t**2 - 3*t
Let k = -6551 + 6545. Let x(b) = -b**3 + b**2 + 1. Let l(i) = -2*i**3 + 3*i**2 + 7*i + 3. What is k*x(c) + 2*l(c)?
2*c**3 + 14*c
Let b(h) = 3*h - 1. Let z = -327762 + 327765. Let l(c) = 0*c + 3*c - 2*c. Determine z*b(j) - 7*l(j).
2*j - 3
Let v(b) = -461*b - 8. Let n(u) = -1383*u - 27. Calculate -2*n(t) + 7*v(t).
-461*t - 2
Let q(c) = -6*c**2 + 4*c. Let w(f) = -6*f**2 + 3*f. Suppose -467*s + 470*s = 3*a - 6, -a - 16 = 2*s. Give a*q(l) + 5*w(l).
-6*l**2 - l
Let j(q) be the second derivative of 1/3*q**3 + 9/2*q**2 + q + 0. Let z(s) be the second derivative of s**3/6 + 5*s**2/2 - 23*s. Calculate -6*j(k) + 11*z(k).
-k + 1
Let h(u) = -11*u**3 + 48*u**3 + 2 + 2*u - 34*u**2 - 30*u**2 + 97*u**2 - 35*u**2. Let c(d) = 3404*d**3 - 185*d**2 + 185*d + 185. Give 2*c(f) - 185*h(f).
-37*f**3
Let v(l) = 3*l**3 + 5*l**2. Suppose -5*i = -11 + 46. Let p(u) = 4*u**3 + 7*u**2. Let c be (88 - 4)/21 + 1. Give c*p(j) + i*v(j).
-j**3
Let r(j) = 3*j**2 + 4*j - 3. Let h(q) be the second derivative of 5*q**4/6 + 13*q**3/6 - 5*q**2 - 629*q. Determine -2*h(d) + 7*r(d).
d**2 + 2*d - 1
Let m(g) = 3672*g - 285. Let i(h) = 408*h - 30. Determine 19*i(q) - 2*m(q).
408*q
Let v(t) = 8*t - 9. Let m be -3 + -2 + -3 + -2 + -122. Let p = 126 + m. Let f(x) = -2*x + 2. What is p*v(o) - 26*f(o)?
4*o + 2
Let r(w) = -3*w - 1. Suppose -4*s + 12 = 0, -4*z + 17*s = 14*s + 53. Let o(l) = 5*l + 13. Let m be o(-3). Let a(g) = 16*g + 4. Calculate m*a(v) + z*r(v).
v + 3
Let x(a) = -17*a**3 - 6*a**2 + 6. Let j(b) = -35*b**3 - 13*b**2 + 13. Suppose -3*n + 8 = 14, -4*n = 2*i - 18. Determine i*x(v) - 6*j(v).
-11*v**3
Let u(h) = 4*h**2 + 2*h - 4. Let n be -3*91/105 + 18/30. Let j(i) = 0*i**2 + 2*i - 3 + 0*i**2 + 3*i**2. Give n*u(d) + 3*j(d).
d**2 + 2*d - 1
Let p be 4 - 23*((-20)/4 + 4). Suppose -p*y + 23*y = -20. Let f(r) = 5*r**2 + 8*r. Let c(h) = 0*h - 2*h**2 - 5*h - h**2. Give y*f(k) + 8*c(k).
k**2
Let r(q) = 1029*q + 23. Let y(l) = -206*l - 5. Calculate -3*r(j) - 14*y(j).
-203*j + 1
Let h(n) = -14*n - 32. Let u(c) = 5*c + 11. Let y be 231/(-28)*(6 - (-22)/(-3)). Give y*u(k) + 4*h(k).
-k - 7
Let p(b) = 19*b**2 + 7*b + 8. Let k(i) = 16*i**2 + 10*i + 7. Calculate 12*k(w) - 11*p(w).
-17*w**2 + 43*w - 4
Let r(m) = -6*m - 1619 + 1623 + 11*m. Let t(n) = 25*n + 27. Let k(v) = 8*v + 9. Let b(j) = 8*k(j) - 3*t(j). Determine 2*b(x) + 5*r(x).
3*x + 2
Let l = 34 + -29. Let k(c) = 8*c**3 + c**3 + 5*c**2 - 12*c**2 + l. Let g = -180 - -187. Let m(y) = 5*y**3 - 4*y**2 + 3. Give g*m(d) - 4*k(d).
-d**3 + 1
Let b(v) = -v**2 + 8*v. Let j(q) = -76*q**2 - q + 1. Let m(l) = 153*l**2 + l - 2. Let x(c) = 2*j(c) + m(c). Determine -b(i) - 3*x(i).
-2*i**2 - 5*i
Let w(g) = 13*g**2 + 15*g + 2. Let v(u) = 3*u**2. What is -6*v(o) - w(o)?
-31*o**2 - 15*o - 2
Let d(y) = -y**3 + 5*y**2 - 23. Let o(k) = -2*k**2 + 11. Let g be 39/8 - (-177)/1416. Determine g*o(c) + 2*d(c).
-2*c**3 + 9
Let h(l) = -100. Let v(x) = 11*x + 500. Give -14*h(b) - 3*v(b).
-33*b - 100
Let h(w) = -7*w + 3. Let x(b) = 3183*b + 15. Give -15*h(j) + 3*x(j).
9654*j
Let k(n) = -n + 1. Let o(z) = 5*z**2 + 6*z + 9. Let y be o(-3). Suppose 4*m + 12 - y = 0. Let u(w) = -w - 7*w + 2*w + m. Calculate 5*k(a) - u(a).
a - 1
Let z(s) = s**2 + 4. Let m(d) = 9*d + 1 + d**2 - 37*d + 28*d. Calculate 4*m(t) - z(t).
3*t**2
Let a(n) = -n**2 + 1. Let y(g) = -34*g**2 + 18. Let z(k) = -36*a(k) + 2*y(k). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
False
Is 3251 a prime number?
True
Is 9263 composite?
True
Is 969883 prime?
False
Is 45053 a prime number?
True
Is 7438 prime?
False
Is 13997 prime?
True
Is 1095361 a prime number?
False
Is 1446971 prime?
True
Is 6005 prime?
False
Is 10259 prime?
True
Is 211691 composite?
False
Is 48403 composite?
True
Is 2818 a composite number?
True
Is 213341 a prime number?
False
Is 121497 a prime number?
False
Is 567481 prime?
False
Is 11819 composite?
True
Is 31879 prime?
False
Is 344849 a composite number?
True
Is 409577 a prime number?
False
Is 33911 a prime number?
True
Is 147718 composite?
True
Is 5579 prime?
False
Is 40063 a composite number?
False
Is 425823 a composite number?
True
Is 1531 a composite number?
False
Is 4583 a composite number?
False
Is 5323 prime?
True
Is 210813 a composite number?
True
Is 3137 composite?
False
Is 1073 prime?
False
Is 44867 a composite number?
False
Is 45421 prime?
False
Is 22523 prime?
False
Is 1502503 composite?
False
Is 11351 a composite number?
False
Is 63741 prime?
False
Is 699179 prime?
False
Is 3881 composite?
False
Is 4694 composite?
True
Is 545563 a prime number?
False
Is 10477 prime?
True
Is 2579 prime?
True
Is 22235 a composite number?
True
Is 191297 a prime number?
True
Is 7451 a composite number?
False
Is 34861 composite?
True
Is 7177 composite?
False
Is 424223 composite?
False
Is 59317 composite?
True
Is 2167991 composite?
True
Is 553 prime?
False
Is 2112685 prime?
False
Is 205703 composite?
False
Is 7393 a prime number?
True
Is 21961 prime?
True
Is 4548967 a composite number?
False
Is 238759 prime?
True
Is 228469 composite?
False
Is 8497 prime?
False
Is 298993 a composite number?
False
Is 31159 a prime number?
True
Is 2581 prime?
False
Is 121949 composite?
False
Is 52978 a composite number?
True
Is 278261 a composite number?
False
Is 356657 composite?
True
Is 26557 prime?
True
Is 9029 a prime number?
True
Is 14503 composite?
False
Is 70753 a prime number?
True
Is 896237 composite?
True
Is 30047 prime?
True
Is 140405 a composite number?
True
Is 27719 composite?
True
Is 64159 composite?
True
Is 9413 composite?
False
Is 219973 prime?
False
Is 48715 a prime number?
False
Is 27479 composite?
False
Is 33595 a composite number?
True
Is 12554 prime?
False
Is 39586 a prime number?
False
Is 462089 prime?
False
Is 14029 a composite number?
False
Is 421783 prime?
True
Is 167593 a composite number?
False
Is 547411 a prime number?
True
Is 82129 composite?
False
Is 2705 prime?
False
Is 571 a composite number?
False
Is 481121 a prime number?
False
Is 318778 prime?
False
Is 142 a prime number?
False
Is 16285 composite?
True
Is 731103 prime?
False
Is 9383 a composite number?
True
Is 87007 prime?
False
Is 137749 prime?
False
Is 7933 prime?
True
Is 11113 composite?
False
Is 2177063 composite?
True
Is 712649 a composite number?
True
Is 1880483 a composite number?
True
Is 37951 a prime number?
True
Is 330323 composite?
True
Is 58459 a prime number?
False
Is 822767 a prime number?
False
Is 7807 composite?
True
Is 1049513 composite?
True
Is 1647073 prime?
False
Is 17803 prime?
False
Is 10681 a prime number?
False
Is 366566 composite?
True
Is 68993 a composite number?
False
Is 18661 prime?
True
Is 11027 a prime number?
True
Is 6537 a prime number?
False
Is 213173 prime?
True
Is 6389 prime?
True
Is 8263 a prime number?
True
Is 23038 composite?
True
Is 2437 composite?
False
Is 5353 composite?
True
Is 9199 a prime number?
True
Is 203549 prime?
True
Is 18101 a composite number?
True
Is 44543 prime?
True
Is 3294727 a prime number?
False
Is 478 prime?
False
Is 17717 prime?
False
Is 366473 a prime number?
False
Is 137395 a composite number?
True
Is 133453 a prime number?
False
Is 1393705 a prime number?
False
Is 34817 prime?
False
Is 164777 a composite number?
True
Is 1529 a prime number?
False
Is 122443 prime?
True
Is 13613 a composite number?
False
Is 73079 prime?
True
Is 39511 prime?
True
Is 1399 a composite number?
False
Is 3186887 composite?
True
Is 33409 composite?
False
Is 325421 a prime number?
True
Is 201643 a prime number?
False
Is 134051 prime?
False
Is 19417 prime?
True
Is 72809 prime?
False
Is 258563 prime?
True
Is 51583 a composite number?
True
Is 82129 a prime number?
True
Is 113759 composite?
False
Is 12659 a composite number?
False
Is 54751 a composite number?
False
Is 17957 prime?
True
Is 167521 prime?
True
Is 1817 prime?
False
Is 6619 prime?
True
Is 383447 a prime number?
False
Is 3265 prime?
False
Is 32749 prime?
True
Is 6899 a composite number?
False
Is 2449 a prime number?
False
Is 13649 composite?
False
Is 5077 a composite number?
False
Is 405211 prime?
True
Is 972537 a prime number?
False
Is 262751 prime?
False
Is 164707 a prime number?
True
Is 10663 composite?
False
Is 8147 a composite number?
False
Is 514229 prime?
True
Is 34381 a composite number?
False
Is 1618079 prime?
True
Is 5261 a prime number?
True
Is 178171 a prime number?
False
Is 3543 a composite number?
True
Is 10651 a prime number?
True
Is 547787 composite?
False
Is 200437 a prime number?
True
Is 24317 a composite number?
False
Is 103331 a prime number?
False
Is 23159 a composite number?
False
Is 475117 prime?
False
Is 236337 a prime number?
False
Is 11671 a composite number?
True
Is 120427 a composite number?
False
Is 15613 prime?
False
Is 47153 a prime number?
False
Is 44017 a composite number?
False
Is 26099 prime?
True
Is 1346 a composite number?
True
Is 1157 composite?
True
Is 34934 a prime number?
False
Is 5305871 a prime number?
True
Is 3147 a prime number?
False
Is 12071 a composite number?
False
Is 200209 a prime number?
False
Is 5158 a prime number?
False
Is 47361 prime?
False
Is 57881 a composite number?
False
Is 17519 prime?
True
Is 361463 prime?
True
Is 3809 composite?
True
Is 72817 composite?
False
Is 55479 prime?
False
Is 7561 prime?
True
Is 829057 a prime number?
True
Is 485 a composite number?
True
Is 17617 a prime number?
False
Is 7807 a prime number?
False
Is 52157 a prime number?
False
Is 208187 composite?
True
Is 2362 a composite number?
True
Is 4109 prime?
False
Is 68957 a prime number?
False
Is 14951 prime?
True
Is 99559 a composite number?
False
Is 801085 a composite number?
True
Is 41063 a composite number?
True
Is 1943 prime?
False
Is 17657 prime?
True
Is 20707 composite?
False
Is 19615 composite?
True
Is 359851 composite?
False
Is 11383 composite?
False
Is 242881 a composite number?
True
Is 6609 prime?
False
Is 1349 prime?
False
Is 2437 a prime number?
True
Is 12715 prime?
False
Is 688717 a composite number?
False
Is 278437 a prime number?
True
Is 100847 composite?
False
Is 1129103 a composite number?
False
Is 3453 a composite number?
True
Is 19841 prime?
True
Is 2582171 composite?
False
Is 6007 a prime number?
True
Is 199135 composite?
True
Is 1961 a prime number?
False
Is 271547 a prime number?
False
Is 90107 a prime number?
True
Is 6646 a composite number?
True
Is 387329 a prime number?
True
Is 54829 a composite number?
False
Is 181667 a composite number?
False
Is 15511 a composite number?
False
Is 2521 prime?
True
Is 165535 prime?
False
Is 283931 a prime number?
False
Is 218887 a composite number?
False
Is 130087 prime?
True
Is 11901 composite?
True
Is 393377 composite?
False
Is 13259 a prime number?
True
Is 3981 composite?
True
Is 18429 a prime number?
False
Is 16811 prime?
True
Is 275606 prime?
False
Is 15013 composite?
False
Is 44867 a prime number?
True
Is 606367 prime?
False
Is 6720353 a composite number?
False
Is 1658 a composite number?
True
Is 293782 composite?
True
Is 11777 a prime number?
True
Is 3203 prime?
True
Is 791767 a composite number?
True
Is 7447 a composite number?
True
Is 37641 a composite number?
True
Is 3143 a prime number?
False
Is 1597549 composite?
True
Is 17219 a composite number?
True
Is 93277 a composite number?
True
Is 982337 prime?
True
Is 835 composite?
True
Is 141883 a prime number?
False
Is 130927 prime?
True
Is 7849 prime?
False
Is 3109 a composite number?
False
Is 110369 a prime number?
False
Is 7753 a composite number?
False
Is 16719 a prime number?
False
Is 413233 composite?
False
Is 12301 composite?
False
Is 1079977 a prime number?
True
Is 85049 a prime number?
True
Is 117389 a prime number?
True
Is 61345 a composite number?
True
Is 380395 prime?
False
Is 387323 composi
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*n**t + n**3 - 3*n**2 + 12*n**5 + 3*n**3 wrt n.
720*n**2
Find the third derivative of 10*l**3 - 8*l**4 - 2*l**3 + 22*l**4 - 16*l**4 - 49*l**2 wrt l.
-48*l + 48
Let t(b) = 87*b**2 + 13*b + 2. Let r(n) = -88*n**2 - 11*n - 1. Let f(v) = -5*r(v) - 4*t(v). What is the second derivative of f(y) wrt y?
184
Let l(c) be the second derivative of -89*c**5/5 - 5*c**4 + 3*c**2/2 + 365*c. Find the third derivative of l(z) wrt z.
-2136
Let g(o) be the third derivative of -149*o**7/105 - 47*o**3/3 - 12*o**2 - 10*o. Find the first derivative of g(z) wrt z.
-1192*z**3
What is the first derivative of 38 + 55 - 50 - 599*a**2 wrt a?
-1198*a
Let f(y) be the second derivative of -323*y**4/12 + 57*y**3/2 + y + 75. What is the second derivative of f(q) wrt q?
-646
Let r(l) = 2*l + 0*l - 3*l + 1 - 2. Let b be r(-3). What is the second derivative of b*t**2 + 2*t - 5*t**2 - 4*t - t wrt t?
-6
Let z be (15/(-9))/((-1)/(-3)). Let j = z - -11. Find the third derivative of 2*p**j + 4*p**2 - 3*p**2 + 0*p**2 wrt p.
240*p**3
Let k(s) be the first derivative of 3*s**7/280 - s**5/40 - 19*s**3/3 + 27. Let v(o) be the third derivative of k(o). Find the second derivative of v(n) wrt n.
54*n
Let k(v) be the second derivative of v**5/4 - v**3/6 + 46*v**2 + 2*v - 7. What is the derivative of k(p) wrt p?
15*p**2 - 1
Let a(h) be the second derivative of -5*h + 0*h**3 + 5/2*h**2 - 7/12*h**4 + 0. Differentiate a(q) wrt q.
-14*q
Let b(o) = -29*o**3 - 4*o - 18. Let t(a) = 10*a + 19. Let z be t(-2). Let n(m) = m**3 - m + 1. Let h(l) = z*b(l) + 4*n(l). Differentiate h(u) wrt u.
99*u**2
Let u(b) = 8*b**3 + 33*b**2 - 5. Let o(y) = -12*y**3 - 50*y**2 + 8. Let n(q) = -5*o(q) - 8*u(q). What is the third derivative of n(f) wrt f?
-24
Let y(n) be the first derivative of n**4/4 - 7*n**3/3 + n**2/2 - 9. Let x(z) be the second derivative of y(z). Find the first derivative of x(k) wrt k.
6
Let q(z) be the second derivative of -169*z**6/30 + 7*z**2/2 + 12*z + 11. Differentiate q(l) with respect to l.
-676*l**3
Find the first derivative of 21*t**2 - 58*t**2 - 70*t**2 + 234*t**2 - 509 + 2*t wrt t.
254*t + 2
Let t(i) be the first derivative of i**8/8 - i**5/10 - 7*i**4/2 - 10*i - 25. Let k(b) be the first derivative of t(b). Find the third derivative of k(v) wrt v.
840*v**3 - 12
Let r(w) be the second derivative of -11*w**7/840 + w**6/120 + 2*w**3 - 8*w. Let j(n) be the second derivative of r(n). Find the third derivative of j(f) wrt f.
-66
Let u(f) be the second derivative of 13*f**4/6 + f**3/3 + 18*f**2 - 7*f - 5. What is the second derivative of u(x) wrt x?
52
Let x(a) = -20*a + 300. Let f be x(15). Let s(u) be the third derivative of -4*u**2 + f + 0*u - 1/3*u**4 - 4/3*u**3. Differentiate s(c) wrt c.
-8
Let g(n) be the second derivative of 0*n**3 - 2/5*n**6 + 15/2*n**2 + 0 + 0*n**4 - 22*n + 0*n**5. What is the first derivative of g(c) wrt c?
-48*c**3
Find the first derivative of 89*q - 315 - 52*q + 143*q + 118*q wrt q.
298
Suppose 10*u = 6*u + 52. Find the second derivative of u - 25*s**5 - 2*s - 4 - 9 wrt s.
-500*s**3
Let g(s) be the second derivative of s**6/30 + 57*s**5/20 - 13*s**4/6 - 8*s - 4. What is the third derivative of g(j) wrt j?
24*j + 342
Suppose 9*o - 14*o = -15. Find the third derivative of 2*i**o + 16*i**2 + 985*i - 985*i wrt i.
12
Let u be 2/9 - 366/(-108)*2. What is the first derivative of -6 + u*m**2 - 3*m**2 + 21*m**2 + 2*m**2 wrt m?
54*m
Let u = -811 + 814. Let r(n) be the third derivative of 0*n + 10*n**2 + 1/15*n**5 - 1/4*n**4 + 0*n**u + 0. Find the second derivative of r(g) wrt g.
8
Suppose 0 = 2*f - 5 - 9. What is the second derivative of 9*i**5 - 9*i**5 + 2*i + f*i**5 - i wrt i?
140*i**3
Let o(v) = 9*v**2 - 4*v - 53. Let r(h) = -45*h**2 + 22*h + 264. Let s(q) = -11*o(q) - 2*r(q). What is the derivative of s(y) wrt y?
-18*y
Let a(b) = -b - 24 - 2 + 6*b. Let o be a(6). What is the derivative of -s + 2*s - o + 3 - 12*s wrt s?
-11
Let v(q) = -22*q**3 - 5*q**2 + q. Let j(l) = 4*l - 67*l**3 + l**2 + l**2 - 5*l + 78*l**3. Let a(t) = 15*j(t) + 6*v(t). Find the second derivative of a(c) wrt c.
198*c
What is the derivative of 170*m**3 - 145 + 426*m**3 + 168*m**3 + 241 + 126 wrt m?
2292*m**2
Let m(k) be the second derivative of -51*k**5/10 + 11*k**3/6 + 3*k**2/2 + 12*k. What is the second derivative of m(w) wrt w?
-612*w
What is the second derivative of -76*i + 0*i**2 - 192 + 192 - i**2 - 11*i**3 wrt i?
-66*i - 2
Let k(b) be the first derivative of -13*b**3 - 15/2*b**2 + 0*b - 3. Find the second derivative of k(r) wrt r.
-78
Find the first derivative of -219*k**3 + 42*k**3 + 5*k**3 + 38 + 261 - 60*k**3 wrt k.
-696*k**2
Let d = 9 + -4. Let o(k) = 6*k - 33. Let r be o(6). Find the second derivative of r*v - 4*v + d*v**3 + 2*v + 2*v wrt v.
30*v
Let i(k) = -75*k**3 - 20*k**2 - 6. Let g(c) = 74*c**3 + 19*c**2 + 4. Let p(h) = -3*g(h) - 2*i(h). Find the third derivative of p(x) wrt x.
-432
Find the third derivative of -3*b**6 - 5*b**6 + 10*b**6 - b**3 - 31*b**2 - b**3 wrt b.
240*b**3 - 12
Let s(c) = -8*c**3. Let l be s(-1). What is the first derivative of -8*o + l*o - 2 - 2*o**4 - 2*o**4 wrt o?
-16*o**3
Let o(x) be the third derivative of -41*x**6/20 + 103*x**5/30 + 202*x**2. Find the third derivative of o(y) wrt y.
-1476
Suppose 12 = 23*k - 22*k. Find the second derivative of -4*a**2 + 12*a**2 + 25*a**2 + k*a wrt a.
66
Let r be 6 - (-1 + 0 + 4). Suppose 3*q = -12, r*q = g + 13 - 31. Find the second derivative of -8*p**3 + 31 + 19*p**3 - 31 + g*p wrt p.
66*p
Let i(y) be the third derivative of 80*y**4/3 + 187*y**3/6 + 47*y**2. What is the derivative of i(o) wrt o?
640
Let v(b) = -11*b**2 + 11. Let y(z) = -210*z**2 + 210. Suppose 4*p + 2*a = -234, -3*a - 5 = -2*a. Let o(c) = p*v(c) + 3*y(c). Differentiate o(f) wrt f.
-28*f
Suppose -5*z + 1547 = f - 421, 1563 = 4*z - 3*f. What is the second derivative of 393 - 29*o - 29*o**2 - z wrt o?
-58
Let x(d) = 10*d**3 - 5*d**2 + 3*d + 42. Let z(j) = 31*j**3 - 17*j**2 + 10*j + 126. Let t(r) = 14*x(r) - 4*z(r). Find the second derivative of t(a) wrt a.
96*a - 4
Let q(w) be the first derivative of w**7/35 + 2*w**5/15 + 3*w**2/2 - 5. Let x(m) be the second derivative of q(m). Find the third derivative of x(c) wrt c.
144*c
What is the second derivative of -132*v + 2*v**3 - 8*v**2 + 7 - 27*v + 2*v**3 - 7 wrt v?
24*v - 16
Let x(v) = v**2 + v. Let q(a) = -10*a**2 - 3*a - 7. Let l(z) = -q(z) - 6*x(z). Find the first derivative of l(d) wrt d.
8*d - 3
Suppose -5*q + 15 = 0, -2*f + f - 3*q + 17 = 0. Let t = -6 + f. What is the second derivative of -t*g**4 + 3*g + g**4 + 3*g**4 wrt g?
24*g**2
Let x(o) = 9*o - 8. Let s be x(5). Differentiate 211*q**3 + 33*q**4 - s - 211*q**3 with respect to q.
132*q**3
Let t(l) = -l**4 - 5*l**3 + 5*l**2 - 17*l - 222. Let p(i) = -i**4 - i**3 + i**2 - i - 1. Let f(a) = -5*p(a) + t(a). Differentiate f(m) with respect to m.
16*m**3 - 12
Let x(h) be the second derivative of 107*h**7/21 + 169*h**3/3 + 61*h + 3. What is the second derivative of x(c) wrt c?
4280*c**3
Let y(a) = -a**3 - 3*a**2 + 6*a + 9. Let f be y(-4). What is the third derivative of -f + d**2 + 4*d**4 - 8*d**4 + 1 wrt d?
-96*d
Let v(l) = 276*l**3 + 15*l**2 - 13*l + 293. Let d(j) = -92*j**3 - 6*j**2 + 5*j - 97. Let s(a) = -8*d(a) - 3*v(a). Find the second derivative of s(k) wrt k.
-552*k + 6
Let t(u) = u. Let q(h) = 105*h + 116. Let b(i) = q(i) - 2*t(i). What is the first derivative of b(r) wrt r?
103
Let l(j) = -16*j**4 + 12*j**3 - 5*j - 6. Let b(h) = -2*h**3 + h. Let i(c) = 4*b(c) + l(c). What is the second derivative of i(n) wrt n?
-192*n**2 + 24*n
What is the derivative of -39*b**4 + 12 + 1 - 376*b + 376*b wrt b?
-156*b**3
Let r be ((-42)/(-15))/((-3)/(-30)). Let f = r - 17. What is the second derivative of -7*h**3 - 5*h + f*h - 12*h wrt h?
-42*h
Let c be (-7 + 1)/3 - -3*2. Find the first derivative of 23 + 2 + 11*k**c + 22*k**4 wrt k.
132*k**3
Suppose -3*k - 4*p = -143, 2*k - 2*p = 103 - 31. What is the derivative of 5*m + 38 - k + m wrt m?
6
Let k(r) be the first derivative of r + 7/2*r**2 + 14. What is the derivative of k(y) wrt y?
7
Suppose 5*u - 22 - 3 = 0. Let l be (30/(-42))/((-1)/7). Find the third derivative of 0*s + 0*s**l + 4*s**2 + 0*s - u*s**5 wrt s.
-300*s**2
Let r(h) = 2673 + h - 2673. Let k(z) = 25*z**2 - 5*z - 11. Let a(q) = k(q) + 5*r(q). What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
than or equal to 0.2?
False
Which is smaller: -781831 or -781832?
-781832
Do 1/49639 and 0 have the same value?
False
Is -3 less than or equal to -418?
False
Are 2485 and -5 equal?
False
Which is bigger: -576 or -127?
-127
Is 5428/5 greater than 1086?
False
Which is bigger: 2/7 or 2/1051483?
2/7
Which is bigger: -4/192089 or 1?
1
Does -10/9881 = 1?
False
Is 0 < 1/131403?
True
Which is greater: -510 or 0.29?
0.29
Which is smaller: -21/913 or -1?
-1
Which is smaller: -50/24859 or 1?
-50/24859
Is -2/5548937 != 0?
True
Which is smaller: 272 or -398/3?
-398/3
Is 1 > -2/62059?
True
Is -3370210 less than or equal to -3370209?
True
Which is bigger: -844/339 or -1?
-1
Is -6529/8 >= -815?
False
Are 5675/994 and 6 unequal?
True
Which is smaller: 0 or -42/7741?
-42/7741
Which is bigger: -15954 or -15889?
-15889
Which is smaller: 0 or -26/97901?
-26/97901
Which is smaller: 7232/3 or -83?
-83
Which is smaller: 0.9 or 164.564?
0.9
Which is greater: 0 or 473/7624?
473/7624
Which is bigger: 413 or 387?
413
Which is smaller: -790116 or -790119?
-790119
Are 1 and -50/437673 non-equal?
True
Is -113 greater than or equal to 98?
False
Is -0.2 smaller than 4448?
True
Which is smaller: -378912 or -378909?
-378912
Is 0 less than 300/509?
True
Is -88/177831 != 0?
True
Which is smaller: 1/4783 or -1/2?
-1/2
Are 40584 and 40586 non-equal?
True
Which is smaller: 1179/211 or 6?
1179/211
Is 1 at most -6/520229?
False
Is 3976388 >= 3976388?
True
Which is bigger: 327043 or 327046?
327046
Which is smaller: 85882 or 944696/11?
944696/11
Is 10/84473 at least 1?
False
Is 0 at most 62/192241?
True
Which is smaller: -93812 or -93813?
-93813
Which is bigger: 1709273 or 1709272?
1709273
Does 2/3 = 686?
False
Is 22425/34 >= 660?
False
Which is smaller: -4/4435 or 0.38?
-4/4435
Is -7/128000 at most 0?
True
Is -2004286 less than -2004287?
False
Is -383573 at most as big as -3?
True
Are -41496 and -41494 non-equal?
True
Does -611404 = -611405?
False
Which is smaller: 7766 or 7805?
7766
Is 452132 less than 452132?
False
Is -185/13504 greater than or equal to 0?
False
Is -255305 less than or equal to -255305?
True
Is 6309 at most -0.807?
False
Which is smaller: 0 or -138/845?
-138/845
Which is greater: 173 or 2071/12?
173
Is 0 > 6/19693?
False
Which is bigger: 7/5 or -83.01?
7/5
Is -84501 at least as big as -84506?
True
Do -13267 and -145940/11 have different values?
True
Is 7/72916 at most 1?
True
Which is bigger: 0 or -9388?
0
Which is bigger: -5430/833 or -7?
-5430/833
Which is bigger: 13599 or 13600?
13600
Is 229262 bigger than 1?
True
Do -1 and -1014731 have different values?
True
Is -35/35334 at least as big as 0?
False
Which is smaller: -1.4139 or -653?
-653
Which is greater: -69 or 28631?
28631
Which is smaller: -708/13 or 5/12?
-708/13
Which is greater: 412 or 29723/72?
29723/72
Is 1/13275 <= 0?
False
Which is smaller: -1499744 or -1499743?
-1499744
Is 1 less than or equal to -1788/2525?
False
Is 40391 at least 40392?
False
Is -2/121941 bigger than -1?
True
Which is bigger: 1/37053 or 0?
1/37053
Is 48818 != 48841?
True
Which is smaller: 2/2745 or -1?
-1
Which is greater: 1 or 1/45338?
1
Which is smaller: -3627833 or -3627834?
-3627834
Which is smaller: 5828 or 5795?
5795
Which is smaller: 0.3351204 or -1?
-1
Which is smaller: -3911 or -0.24?
-3911
Which is smaller: -20 or -0.41299?
-20
Do -113189 and -113183 have the same value?
False
Do 52 and 1.071 have the same value?
False
Is -21187 smaller than -21180?
True
Which is smaller: -1/5944 or -175?
-175
Which is smaller: -1 or 11/35422?
-1
Which is smaller: -68240/59 or -1157?
-1157
Is -205 greater than -4706/23?
False
Which is smaller: -1816037 or -1816036?
-1816037
Which is smaller: 0 or 3/10475?
0
Which is smaller: 16622/33 or 503?
503
Is -25727 greater than 2/5?
False
Which is smaller: 1505/103 or 15?
1505/103
Is 60/66719 at most 1?
True
Is -81 at least as big as -42044?
True
Is -2/25 at most 2/1687?
True
Is -80 at least -2349?
True
Does -8/21043 = -0.06?
False
Is 2/7 > 0.004594?
True
Which is smaller: 36549 or 36535?
36535
Which is smaller: -4 or -33.361?
-33.361
Which is smaller: -170 or -210?
-210
Is 0 > -50676?
True
Which is smaller: -3819 or -403?
-3819
Which is smaller: -4455 or -22282/5?
-22282/5
Do -8049 and -8591 have different values?
True
Which is smaller: 1 or 2/5643885?
2/5643885
Which is smaller: -11790 or -11787?
-11790
Is -180337 greater than or equal to -180336?
False
Are 31/19959 and -1 non-equal?
True
Which is bigger: -1 or -12/100969?
-12/100969
Is -1 at most as big as -18021?
False
Which is bigger: -52050 or 2?
2
Which is smaller: 139950 or 139953?
139950
Is 193.81 at least -27.2?
True
Is -376211 at least -376209?
False
Do 312580 and 312580 have the same value?
True
Is -6301/180 greater than -34?
False
Which is smaller: 19/685391 or 1?
19/685391
Does 734209 = 1?
False
Which is smaller: -25/6 or -3/16?
-25/6
Is -602 less than -0.26?
True
Which is greater: 731/339 or 1?
731/339
Is 4 bigger than 1176/311?
True
Which is greater: -0.3 or -3805?
-0.3
Is 2313 smaller than 2313?
False
Is 0 equal to 378/6355?
False
Which is smaller: -4978 or -0.25?
-4978
Is -944/1031 > -1?
True
Is 1 < 7994.18?
True
Do -500 and 53 have different values?
True
Which is bigger: 2002 or 87?
2002
Which is smaller: -5/1672 or 24/11?
-5/1672
Is 1 < 1569/2903?
False
Which is smaller: -16 or -784/47?
-784/47
Is 1225 < 1209?
False
Which is smaller: 1382446 or 1382445?
1382445
Are 2600672 and 2600673 equal?
False
Which is smaller: -151089 or 1/2?
-151089
Is -47 >= -3431/74?
False
Are -2085 and -0.59 nonequal?
True
Which is smaller: -28640 or -28641?
-28641
Which is greater: 162544 or 162541?
162544
Which is smaller: 614 or 9?
9
Are 9 and -178647 equal?
False
Which is smaller: 2/402107 or 0?
0
Which is greater: 2/17739 or -1?
2/17739
Which is smaller: 382694 or 382689?
382689
Which is bigger: 2/33 or -24915?
2/33
Which is greater: 0 or -2/17689?
0
Which is greater: -71444/7 or -10205?
-10205
Is 2962 >= 2991?
False
Which is smaller: -82121/11 or -7465?
-82121/11
Which is bigger: 2248/209 or 12?
12
Which is smaller: -3/23 or 0.1?
-3/23
Which is smaller: 170235 or 170236?
170235
Is 11/6857 at least 1?
False
Is -102627 at least -0.6?
False
Is -8/21781 smaller than 1?
True
Is 98687/14 < 7049?
False
Which is bigger: -6 or 2.1?
2.1
Is -318 greater than -244?
False
Which is greater: -0.3 or 45814?
45814
Is -76 at least -8915/116?
True
Which is smaller: 4343890/13 or 334146?
4343890/13
Is 9 greater than -1741/8?
True
Is 3058 greater than or equal to 2932?
True
Are 0.063 and 112.01 equal?
False
Which is smaller: -1286 or -0.13?
-1286
Which is bigger: 0 or -980182?
0
Which is bigger: -1 or 51070/17?
51070/17
Is -8/1147831 at least as big as 0?
False
Do -1 and -4/268393 have different values?
True
Is -72217 less than -72216?
True
Is -30002/9 greater than -17?
False
Is 77/1329 < 1?
True
Which is smaller: 2/9 or 44207?
2/9
Is -578 >= 153?
False
Is -83299 < -83302?
False
Is 16693 > 16690?
True
Which is bigger: 4882 or 4873?
4882
Is 8 at least 4321/568?
True
Is -241/111 less than or equal to -1?
True
Which is smaller: -210/403 or -74?
-74
Which is bigger: -6.2 or -5/382?
-5/382
Is 2224 greater than or equal to 254?
True
Which is smaller: 17/111796 or 0.2?
17/111796
Which is smaller: -237 or -222?
-237
Which is greater: -2913 or -11653/4?
-2913
Which is greater: 532/747 or 1?
1
Is -1/260761 <= 1?
True
Which is smaller: -3426 or 27?
-3426
Is -29398 bigger than -29398?
False
Is -9005 not equal to -9007?
True
Which is greater: 12112 or 12108?
12112
Which is smaller: -3183 or -3120?
-3183
Which is smaller: -713885 or -713884?
-713885
Does -280 = -193?
False
Which is smaller: -916 or -367?
-916
Is 7126 greater than 7136?
False
Which is smaller: -7343 or 253?
-7343
Does 2 = 297/227?
False
Is 1 >= -15/41387?
True
Which is smaller: -5744/183 or -32?
-32
Is -56 less than -0.887?
True
Is 174099 greater than 174100?
False
Which is smaller: 7726 or 7756?
7726
Is -19 at least 28/1569?
False
Are -700629 and -4203767/6 unequal?
True
Which is smaller: 1/58609 or -1?
-1
Does 1/6 = 3?
False
Does 23086 = 23073?
False
Which is smaller: 6708 or 6701?
6701
Is 1 bigger than 186/2083?
True
Which is bigger: -10801 or 7?
7
Which is smaller: -8085 or -8059?
-8085
Which is greater: -1
|
{
"pile_set_name": "DM Mathematics"
}
|
umber?
False
Is 27604931 composite?
True
Is 112501841 a prime number?
False
Is 8943257 prime?
False
Is 4300511 composite?
True
Is 71969797 composite?
False
Is 2720761 a prime number?
False
Is 96346819 composite?
False
Is 33527411 prime?
True
Is 610474 a composite number?
True
Is 832651091 a prime number?
True
Is 425113213 a composite number?
True
Is 28218607 a prime number?
False
Is 868477 a prime number?
False
Is 5656379 a composite number?
False
Is 61669103 composite?
True
Is 12423133 composite?
False
Is 3935683 composite?
False
Is 161800297 prime?
False
Is 11017387 prime?
False
Is 32818253 a prime number?
False
Is 25521487 prime?
True
Is 3155567 composite?
True
Is 1599811 a composite number?
True
Is 7789343 prime?
True
Is 3813043 composite?
True
Is 10246883 prime?
True
Is 6489671 a composite number?
False
Is 13017833 a composite number?
False
Is 31599913 prime?
True
Is 22475749 a prime number?
False
Is 14117747 a composite number?
True
Is 5269321 composite?
True
Is 6971539 a composite number?
False
Is 38063677 a composite number?
False
Is 506630393 prime?
True
Is 492207649 composite?
True
Is 48611 a prime number?
True
Is 182627119 composite?
False
Is 3819031 a composite number?
False
Is 115251677 a composite number?
False
Is 1455607 a prime number?
True
Is 47644391 a composite number?
False
Is 27222379 composite?
True
Is 190778109 composite?
True
Is 1306204861 composite?
True
Is 2403923 prime?
False
Is 4568511 a prime number?
False
Is 7062287 composite?
False
Is 9322549 a prime number?
True
Is 36538427 prime?
True
Is 12238181 a composite number?
True
Is 27550169 a prime number?
True
Is 158007041 a composite number?
True
Is 25453541 composite?
True
Is 2997583 prime?
True
Is 5187313 a prime number?
True
Is 6762979 prime?
True
Is 379746727 composite?
False
Is 161025933 composite?
True
Is 265703 prime?
True
Is 5256233 composite?
False
Is 524577409 prime?
True
Is 743858 prime?
False
Is 33663431 composite?
False
Is 5356457 a prime number?
False
Is 190946711 a composite number?
True
Is 1294956809 a prime number?
True
Is 93464817 a prime number?
False
Is 403308313 a prime number?
True
Is 51805051 a prime number?
True
Is 71259913 a prime number?
False
Is 30928341 prime?
False
Is 24057827 composite?
True
Is 31366501 prime?
False
Is 84284017 composite?
False
Is 5896567 composite?
False
Is 7092269 composite?
True
Is 1969937 composite?
True
Is 1183241 prime?
True
Is 2534941 prime?
True
Is 10495067 a prime number?
False
Is 41426097 composite?
True
Is 11478617 a prime number?
True
Is 9547951 a prime number?
False
Is 1467887 prime?
True
Is 188150393 a composite number?
False
Is 261337 a composite number?
False
Is 357164277 prime?
False
Is 71269951 a prime number?
True
Is 48734731 prime?
False
Is 413800301 a composite number?
False
Is 3767779 prime?
True
Is 539129 prime?
True
Is 2123049 a prime number?
False
Is 8548363 a prime number?
True
Is 2767173 a prime number?
False
Is 70179503 composite?
False
Is 1465351 composite?
False
Is 6740315 composite?
True
Is 49236257 a prime number?
False
Is 9379049 prime?
True
Is 23202511 a composite number?
True
Is 99991631 composite?
True
Is 6849053 composite?
True
Is 58056322 a prime number?
False
Is 13416167 prime?
False
Is 505907273 prime?
True
Is 6190202 a composite number?
True
Is 51685159 prime?
True
Is 79251169 a prime number?
False
Is 220633939 composite?
True
Is 446309 composite?
False
Is 121917769 composite?
True
Is 13586449 composite?
False
Is 34631 prime?
True
Is 22776517 a composite number?
False
Is 743345 prime?
False
Is 4271593 composite?
True
Is 1542973 composite?
False
Is 9431111 composite?
False
Is 57053803 a composite number?
False
Is 472457 composite?
False
Is 651461 composite?
False
Is 54823 composite?
True
Is 33823943 a prime number?
True
Is 42742597 a prime number?
True
Is 5016261 composite?
True
Is 12818471 prime?
True
Is 31248667 prime?
True
Is 23434563 a prime number?
False
Is 2631541 a composite number?
True
Is 6696773 composite?
False
Is 1328203 a composite number?
False
Is 2384657 composite?
True
Is 67719931 a prime number?
True
Is 1650907 a prime number?
True
Is 768751 a prime number?
True
Is 5762557 a prime number?
True
Is 8865847 composite?
False
Is 11902409 a prime number?
True
Is 255244177 composite?
False
Is 419924341 a composite number?
False
Is 162867598 prime?
False
Is 553103 composite?
False
Is 659219 prime?
False
Is 16081414 prime?
False
Is 919013 composite?
False
Is 5412863 composite?
True
Is 740963 composite?
True
Is 2391491 a prime number?
True
Is 183335177 a prime number?
True
Is 6115898 a prime number?
False
Is 153694729 a prime number?
True
Is 34277293 prime?
True
Is 23668013 a prime number?
False
Is 31422571 a prime number?
True
Is 34690945 prime?
False
Is 1631307 composite?
True
Is 1494019 a prime number?
True
Is 5143013 composite?
False
Is 15587417 a prime number?
True
Is 10005601 composite?
False
Is 1990361 prime?
True
Is 568789 composite?
True
Is 143625623 prime?
True
Is 1588559 a composite number?
True
Is 399169417 prime?
True
Is 2515913 a prime number?
False
Is 1697897 prime?
False
Is 2534803 prime?
False
Is 58719657 a composite number?
True
Is 6286234 a prime number?
False
Is 23044309 a prime number?
True
Is 318093221 a prime number?
False
Is 185653 a prime number?
False
Is 133319567 composite?
False
Is 103862357 a prime number?
True
Is 36040129 composite?
False
Is 1315697 a prime number?
True
Is 24387703 composite?
False
Is 288877283 prime?
True
Is 217421 prime?
True
Is 10336927 a composite number?
False
Is 549435371 a prime number?
False
Is 4149493 a prime number?
True
Is 1401313 a prime number?
False
Is 893591 composite?
False
Is 20327707 a prime number?
True
Is 101543251 composite?
False
Is 18324415 prime?
False
Is 196980247 a composite number?
True
Is 153579295 a composite number?
True
Is 7073049 prime?
False
Is 1515109 a composite number?
False
Is 12217459 composite?
False
Is 28361081 a composite number?
True
Is 114560581 prime?
True
Is 170111209 a composite number?
False
Is 184603 a composite number?
True
Is 205036729 a prime number?
True
Is 390233 prime?
False
Is 778007 a composite number?
True
Is 129341 composite?
False
Is 2779121 a composite number?
True
Is 332753285 a prime number?
False
Is 4398803 a composite number?
True
Is 4163023 a prime number?
False
Is 2991829 a composite number?
True
Is 29205149 composite?
False
Is 69563777 a prime number?
True
Is 274963789 prime?
True
Is 9290405 prime?
False
Is 153493 prime?
False
Is 72650379 composite?
True
Is 299659061 composite?
True
Is 5581937 prime?
True
Is 34094559 a composite number?
True
Is 58763791 composite?
True
Is 127398847 prime?
True
Is 12252659 a prime number?
True
Is 34167113 prime?
False
Is 7123573 composite?
True
Is 2918063 a composite number?
True
Is 22580773 a prime number?
True
Is 19442191 a prime number?
True
Is 196447423 prime?
True
Is 5462741 composite?
True
Is 10722133 a prime number?
True
Is 1445827 a composite number?
False
Is 316872511 composite?
False
Is 2839213 a composite number?
True
Is 159610873 prime?
True
Is 855041 a prime number?
False
Is 653033 prime?
True
Is 11011379 a composite number?
False
Is 11212609 a composite number?
False
Is 177967 prime?
True
Is 1973635 prime?
False
Is 278757527 a prime number?
True
Is 5617613 composite?
False
Is 107351417 prime?
False
Is 46018907 prime?
False
Is 165616877 a composite number?
False
Is 19657399 a prime number?
True
Is 3716279 prime?
False
Is 67614431 composite?
False
Is 1707938 prime?
False
Is 1848397 composite?
False
Is 12790874 a prime number?
False
Is 323308735 prime?
False
Is 33303539 prime?
True
Is 3459362 a prime number?
False
Is 6599 a prime number?
True
Is 18687013 composite?
True
Is 72689693 a composite number?
False
Is 936937 composite?
False
Is 213400811 composite?
True
Is 943197 prime?
False
Is 6358873 a prime number?
False
Is 8443243 a prime number?
True
Is 76036249 a composite number?
False
Is 923470963 a composite number?
False
Is 45107746 a prime number?
False
Is 3920533 a prime number?
False
Is 70279049 a composite number?
False
Is 133831349 a composite number?
False
Is 9376967 prime?
False
Is 703499 prime?
True
Is 6998603 prime?
True
Is 327391391 a composite number?
True
Is 313051 a composite number?
True
Is 4127950
|
{
"pile_set_name": "DM Mathematics"
}
|
nder when 172 is divided by 12?
4
What is the remainder when 247 is divided by 142?
105
Calculate the remainder when 1369 is divided by 116.
93
What is the remainder when 1269 is divided by 19?
15
What is the remainder when 591 is divided by 99?
96
What is the remainder when 299 is divided by 4?
3
What is the remainder when 653 is divided by 33?
26
Calculate the remainder when 7009 is divided by 52.
41
What is the remainder when 345 is divided by 115?
0
Calculate the remainder when 4871 is divided by 87.
86
What is the remainder when 6585 is divided by 36?
33
What is the remainder when 8798 is divided by 13?
10
What is the remainder when 836 is divided by 277?
5
What is the remainder when 259 is divided by 133?
126
Calculate the remainder when 726 is divided by 344.
38
Calculate the remainder when 85 is divided by 26.
7
Calculate the remainder when 73 is divided by 22.
7
Calculate the remainder when 11218 is divided by 7.
4
What is the remainder when 611 is divided by 22?
17
What is the remainder when 20702 is divided by 101?
98
What is the remainder when 1087 is divided by 128?
63
Calculate the remainder when 10973 is divided by 8.
5
Calculate the remainder when 333 is divided by 16.
13
Calculate the remainder when 887 is divided by 81.
77
What is the remainder when 88 is divided by 18?
16
What is the remainder when 6214 is divided by 689?
13
What is the remainder when 1977 is divided by 50?
27
Calculate the remainder when 78 is divided by 35.
8
What is the remainder when 63 is divided by 58?
5
Calculate the remainder when 429 is divided by 203.
23
What is the remainder when 556 is divided by 287?
269
What is the remainder when 294 is divided by 12?
6
Calculate the remainder when 1528 is divided by 45.
43
Calculate the remainder when 4252 is divided by 185.
182
Calculate the remainder when 295 is divided by 100.
95
Calculate the remainder when 1072 is divided by 66.
16
What is the remainder when 847 is divided by 213?
208
Calculate the remainder when 330 is divided by 65.
5
What is the remainder when 1615 is divided by 7?
5
What is the remainder when 2070 is divided by 16?
6
Calculate the remainder when 108 is divided by 44.
20
Calculate the remainder when 2835 is divided by 33.
30
Calculate the remainder when 2341 is divided by 779.
4
Calculate the remainder when 1363 is divided by 170.
3
Calculate the remainder when 1473 is divided by 10.
3
What is the remainder when 1422 is divided by 31?
27
What is the remainder when 115 is divided by 17?
13
Calculate the remainder when 219 is divided by 41.
14
Calculate the remainder when 251 is divided by 36.
35
What is the remainder when 2829 is divided by 16?
13
What is the remainder when 1496 is divided by 169?
144
Calculate the remainder when 1389 is divided by 57.
21
Calculate the remainder when 101 is divided by 18.
11
What is the remainder when 112 is divided by 19?
17
What is the remainder when 2415 is divided by 78?
75
Calculate the remainder when 207 is divided by 6.
3
What is the remainder when 67 is divided by 22?
1
What is the remainder when 67 is divided by 58?
9
Calculate the remainder when 24656 is divided by 274.
270
What is the remainder when 195 is divided by 17?
8
What is the remainder when 562 is divided by 63?
58
What is the remainder when 1149 is divided by 380?
9
Calculate the remainder when 111 is divided by 52.
7
What is the remainder when 4629 is divided by 70?
9
Calculate the remainder when 444 is divided by 16.
12
Calculate the remainder when 338 is divided by 17.
15
What is the remainder when 401 is divided by 74?
31
What is the remainder when 237 is divided by 12?
9
What is the remainder when 7863 is divided by 114?
111
What is the remainder when 56 is divided by 26?
4
Calculate the remainder when 159 is divided by 33.
27
Calculate the remainder when 168 is divided by 25.
18
What is the remainder when 1112 is divided by 80?
72
Calculate the remainder when 1796 is divided by 141.
104
What is the remainder when 1304 is divided by 87?
86
What is the remainder when 2747 is divided by 1357?
33
Calculate the remainder when 108 is divided by 62.
46
What is the remainder when 574 is divided by 189?
7
Calculate the remainder when 646 is divided by 332.
314
What is the remainder when 79 is divided by 9?
7
Calculate the remainder when 3756 is divided by 94.
90
What is the remainder when 626 is divided by 37?
34
Calculate the remainder when 72 is divided by 28.
16
Calculate the remainder when 21315 is divided by 38.
35
Calculate the remainder when 206 is divided by 53.
47
What is the remainder when 90 is divided by 15?
0
Calculate the remainder when 130 is divided by 7.
4
What is the remainder when 9071 is divided by 108?
107
Calculate the remainder when 265 is divided by 78.
31
Calculate the remainder when 43 is divided by 23.
20
Calculate the remainder when 14 is divided by 8.
6
What is the remainder when 1504 is divided by 58?
54
Calculate the remainder when 1541 is divided by 19.
2
Calculate the remainder when 288 is divided by 281.
7
What is the remainder when 2229 is divided by 62?
59
What is the remainder when 121 is divided by 31?
28
What is the remainder when 3849 is divided by 321?
318
Calculate the remainder when 2926 is divided by 61.
59
Calculate the remainder when 112 is divided by 24.
16
Calculate the remainder when 26556 is divided by 13.
10
What is the remainder when 1086 is divided by 120?
6
What is the remainder when 130 is divided by 30?
10
Calculate the remainder when 15 is divided by 8.
7
Calculate the remainder when 2265 is divided by 189.
186
Calculate the remainder when 218 is divided by 45.
38
What is the remainder when 104 is divided by 27?
23
What is the remainder when 8291 is divided by 13?
10
What is the remainder when 378 is divided by 3?
0
What is the remainder when 1151 is divided by 45?
26
What is the remainder when 6522 is divided by 204?
198
Calculate the remainder when 1491 is divided by 6.
3
What is the remainder when 2969 is divided by 229?
221
Calculate the remainder when 1952 is divided by 93.
92
Calculate the remainder when 33809 is divided by 46.
45
Calculate the remainder when 124 is divided by 18.
16
Calculate the remainder when 5146 is divided by 214.
10
Calculate the remainder when 779 is divided by 29.
25
What is the remainder when 759 is divided by 127?
124
What is the remainder when 1882 is divided by 313?
4
Calculate the remainder when 1475 is divided by 25.
0
What is the remainder when 421 is divided by 125?
46
Calculate the remainder when 314 is divided by 21.
20
What is the remainder when 1178 is divided by 13?
8
What is the remainder when 72 is divided by 28?
16
What is the remainder when 415 is divided by 12?
7
What is the remainder when 781 is divided by 7?
4
What is the remainder when 92 is divided by 21?
8
What is the remainder when 17 is divided by 5?
2
Calculate the remainder when 32 is divided by 7.
4
What is the remainder when 1523 is divided by 28?
11
Calculate the remainder when 320 is divided by 6.
2
What is the remainder when 843 is divided by 357?
129
Calculate the remainder when 1617 is divided by 56.
49
Calculate the remainder when 539 is divided by 148.
95
Calculate the remainder when 5313 is divided by 13.
9
What is the remainder when 811 is divided by 37?
34
Calculate the remainder when 964 is divided by 23.
21
Calculate the remainder when 3637 is divided by 517.
18
What is the remainder when 1941 is divided by 97?
1
Calculate the remainder when 7810 is divided by 252.
250
What is the remainder when 768 is divided by 22?
20
Calculate the remainder when 2323 is divided by 68.
11
What is the remainder when 966 is divided by 51?
48
What is the remainder when 49 is divided by 9?
4
What is the remainder when 143 is divided by 30?
23
Calculate the remainder when 307 is divided by 22.
21
Calculate the remainder when 387 is divided by 127.
6
What is the remainder when 10604 is divided by 51?
47
What is the remainder when 86 is divided by 35?
16
Calculate the remainder when 60 is divided by 13.
8
What is the remainder when 883 is divided by 114?
85
Calculate the remainder when 836 is divided by 42.
38
What is the remainder when 141 is divided by 13?
11
What is the remainder when 95 is divided by 10?
5
Calculate the r
|
{
"pile_set_name": "DM Mathematics"
}
|
- 966*y**2.
66*y**2 + 25*y
Collect the terms in -8367*k**3 - 325*k**3 - 37086*k**3.
-45778*k**3
Collect the terms in 37248*i**2 + 37306*i**2 - 74592*i**2.
-38*i**2
Collect the terms in 29908*g**2 + 4*g - 5*g - 4*g + 29913*g**2 - 59813*g**2.
8*g**2 - 5*g
Collect the terms in 16*m**2 - 3*m**2 + 727326*m - 727167*m.
13*m**2 + 159*m
Collect the terms in 6992*v + 6979*v - v**2 + 6973*v + 6983*v + 6981*v - 34908*v.
-v**2
Collect the terms in 34598418*w**2 + 120790080*w**2 - 38392332*w**2.
116996166*w**2
Collect the terms in 31*v + 3681*v**3 - 18*v - 3639*v**3.
42*v**3 + 13*v
Collect the terms in -9583*u + 19264*u - 6 - 9688*u + 6.
-7*u
Collect the terms in -271999*m**2 + 8921*m**2 - 42603*m**2.
-305681*m**2
Collect the terms in -7*y**2 - 15*y**2 + 170 + 20*y**2.
-2*y**2 + 170
Collect the terms in 0*t + 0*t - 86856*t**2 + 89793*t**2.
2937*t**2
Collect the terms in 284 + 70*c - 69*c - 7 - 294.
c - 17
Collect the terms in 53 - 257 - 38*q**2 + 202.
-38*q**2 - 2
Collect the terms in 604*c + 47 + 9 + 85 - 20 - 600*c.
4*c + 121
Collect the terms in 306439 - 4*m**3 - 306393 + 36*m**3.
32*m**3 + 46
Collect the terms in -808271 + 404126 + 404142 + 9*b.
9*b - 3
Collect the terms in 296 + 38*j - 17*j - 271 + 242 - 267.
21*j
Collect the terms in -6*t**3 - 5*t**3 - 2350*t - 2352*t + 20*t**2 + 4696*t.
-11*t**3 + 20*t**2 - 6*t
Collect the terms in -8*r**2 - 6 + 6*r**2 + 7 - 5 + 22 - 23 + 5.
-2*r**2
Collect the terms in 341*r**2 - 268*r**2 + 548*r**2 + 1764*r**2 + 14*r**3.
14*r**3 + 2385*r**2
Collect the terms in -36*o**3 + 122*o**2 - 55*o**3 + 7*o - 56*o**2 - 66*o**2.
-91*o**3 + 7*o
Collect the terms in -547931222*y + 547931222*y - 429*y**2.
-429*y**2
Collect the terms in 156*x**2 - 1481 - 560*x**2 + 2964 - 1483.
-404*x**2
Collect the terms in -6 - 4 + 69*h**3 - 30*h**3 + 56*h**3 + 9.
95*h**3 - 1
Collect the terms in -64153 - 64245 - 64248 + 40*x**3 + 192646.
40*x**3
Collect the terms in 785*p**2 - 476*p**2 - 606*p**2.
-297*p**2
Collect the terms in 55*h**3 + 51*h**3 + 85*h**3 - 343*h**3 + 89*h**3 + 60*h**3.
-3*h**3
Collect the terms in 29*q - 305*q**3 + 1211*q**3 - 301*q**3 - 301*q**3 - 311*q**3 - 29*q.
-7*q**3
Collect the terms in 88454*t + 88446*t - 353762*t + 88414*t + 88448*t - 2*t**3.
-2*t**3
Collect the terms in -9 - 14 - 16 + 46 - 572*r.
-572*r + 7
Collect the terms in 660798*f - 313509*f + 404312*f.
751601*f
Collect the terms in 18566*f**2 - 100*f**3 + 18535*f**2 - 37103*f**2.
-100*f**3 - 2*f**2
Collect the terms in -17816*p - 34*p**3 + 8913*p + 150*p**3 + 8903*p.
116*p**3
Collect the terms in -221 - 16*z + 403 - 184 - 46*z**3.
-46*z**3 - 16*z - 2
Collect the terms in 58012 + 3388*z**2 - 3388*z**2 - 58020 - 4*z**3.
-4*z**3 - 8
Collect the terms in -13858 - 13858 + 27736 - 4*f.
-4*f + 20
Collect the terms in 120 + 122 - 242 + 593*p + 548*p.
1141*p
Collect the terms in -101 - 224 + 1217*j**2 - 1216*j**2.
j**2 - 325
Collect the terms in 3803*d - 282*d + 248*d + 4243*d + 2952*d - 1409*d.
9555*d
Collect the terms in -257*f**2 + 10 + 285*f**2 - 265*f**2 + 314*f**2.
77*f**2 + 10
Collect the terms in 145931255 - 145931255 - 4*n**3.
-4*n**3
Collect the terms in -11712*u**3 + 3907*u**3 + 3906*u**3 + 3905*u**3 - 2405*u + 2405*u.
6*u**3
Collect the terms in 4025*k - 15*k**3 + 4073*k - 4*k**3 + 65*k**3 - 8098*k.
46*k**3
Collect the terms in 2394741*q + 1953056*q - 1037770*q.
3310027*q
Collect the terms in -78*c - 77*c - 76*c + 476*c - 72*c - 102*c - 75*c.
-4*c
Collect the terms in -52769*h**3 + 8803*h**3 + 4*h**2 - h + 0*h**2.
-43966*h**3 + 4*h**2 - h
Collect the terms in -24762*l**2 + 7 - 7 + 24763*l**2 + 0 - 1 + 3.
l**2 + 2
Collect the terms in 3383 + 10*h**2 + 2*h - 2*h - 1168 - 1088 - 1127.
10*h**2
Collect the terms in 57002*q**3 - 27551*q**3 + 43317*q**3.
72768*q**3
Collect the terms in -28*z - 16*z**2 + 67*z - 38*z.
-16*z**2 + z
Collect the terms in -34 - 221536*n**3 + 220302*n**3 + 16 + 18.
-1234*n**3
Collect the terms in -400*x + 101*x + 94*x + 104*x - 4 + 4 + 107*x.
6*x
Collect the terms in -5700*c**2 - 709*c**2 - 646*c**2 - 2036*c**2.
-9091*c**2
Collect the terms in 229404*o - 5 + 5 + 91076*o.
320480*o
Collect the terms in 595*d**3 + 454 - 612*d**3 - 453.
-17*d**3 + 1
Collect the terms in -104 + 0 - 77 + 36 + 6*l.
6*l - 145
Collect the terms in 190694 + 4*m - 95351 - 95348.
4*m - 5
Collect the terms in 2*i + 3*i + 3958 + 4994 + 4986 - 18925 + 4987 - 8*i.
-3*i
Collect the terms in 3*v**2 - 10*v**2 + 2*v**2 + 117 + 7*v**2 + 120.
2*v**2 + 237
Collect the terms in 207 - 33842*h**3 - 105 - 102.
-33842*h**3
Collect the terms in -54*c**3 - 579*c**3 + 122*c + 74*c**3.
-559*c**3 + 122*c
Collect the terms in -4750 + 2388 - 85*f**3 + 2362 - 346*f**3.
-431*f**3
Collect the terms in -3 + 183*g**2 - 80*g**2 + 162*g**2 + 2 + 1.
265*g**2
Collect the terms in 2934 - 16*v - 2934 + v**2 - 2*v**3 - 36*v**2.
-2*v**3 - 35*v**2 - 16*v
Collect the terms in 32*m + 49*m + 3721 - 825 + 5249.
81*m + 8145
Collect the terms in 19*g + 6369212 + 6369184 - 12738396.
19*g
Collect the terms in 19*z - 1352*z + 514*z.
-819*z
Collect the terms in 1 + 89762*m**3 - 89426*m**3 + 3 - 63*m**2.
336*m**3 - 63*m**2 + 4
Collect the terms in -5*w**2 - 147*w + 301*w + 4*w**2 - 610 - 155*w.
-w**2 - w - 610
Collect the terms in 332*q + 1137*q - 2 + 2 + 682*q.
2151*q
Collect the terms in 7925*c**3 - 8834*c**3 + 4333*c**3.
3424*c**3
Collect the terms in -16861*k + 16*k**2 - 17*k**2 + 8425*k + 8436*k.
-k**2
Collect the terms in 18 + 33019*d**3 - 21 - 12666*d**3.
20353*d**3 - 3
Collect the terms in -159*f**3 - 139*f**3 + 453*f**3 - 164*f**3 - f + 0*f.
-9*f**3 - f
Collect the terms in -118*s - 453*s - 160*s.
-731*s
Collect the terms in -101689 + 2*n**3 + 203382 - 101693 - 345*n**2.
2*n**3 - 345*n**2
Collect the terms in 10*u - 894 - 877 + 2648 - 877 + 7*u.
17*u
Collect the terms in 1289 - 645 - 154205*l**2 - 644 + 154202*l**2.
-3*l**2
Collect the terms in 450*z**2 - 1274*z**2 + 1 - 1 - 125*z**2.
-949*z**2
Collect the terms in -130*l**2 + 1000333*l**3 + 255*l**2 - 125*l**2 - 1000252*l**3.
81*l**3
Collect the terms in 52997*b**3 - 27606*b**3 - 25354*b**3.
37*b**3
Collect the terms in 1810*t**2 - 2825277*t + 2825277*t.
1810*t**2
Collect the terms in 7013*r**2 - 1083 - 6987*r**2 + 1081.
26*r**2 - 2
Collect the terms in -1225*r - 1221*r - 1227*r - 1250*r - 1220*r + 7344*r - 1216*r.
-15*r
Collect the terms in 11*a**2 + 1891*a - 3745*a + 15*a**2 - 56*a**2 + 1854*a.
-30*a**2
Collect the terms in z - 5838175*z**2 - z + 1309729*z**2.
-4528446*z**2
Collect the terms in -5483*c**2 - 622*c**3 + 8512 - 8512 + 5483*c**2.
-622*c**3
Collect the terms in 49*m - 67*m + 17*m - 19*m + 9*m + 10*m.
-m
Collect the terms in -4966*z - 71 + 14990*z - 5071*z + 71 - 4969*z.
-16*z
Collect the terms in -288214*r + 144074*r + 144143*r.
3*r
Collect the terms in -11069322*g + 247*g**2 + 11069322*g.
247*g**2
Collect the terms in -20029864 - 4*u**3 + 7*u**3 - 4*u**3 + 20029864.
-u**3
Collect the terms in 153*k**3 + 17235*k**2 - k + 17210*k**2 - 34445*k**2 - 387*k**3.
-234*k**3 - k
Collect the terms in -4504 + 8818 - 2*c**2 - 4420.
-2*c**2 - 106
Collect the terms in 6607*w**3 - 44*w**2 - 78*w**2 + 122*w**2.
6607*w**3
Collect the terms in -12 + 2*l**2 - 5*l**2 + 25 + 54*l - 11.
-3*l**2 + 54*l + 2
Collect the terms in 194 - 1561 - 90*a**2 + 390*a**3 + 90*a**2.
390*a**3 - 1367
Collect the terms in -277*h - 162*h**2 + 531*h - 259*h + 166*h**2.
4*h**2 - 5*h
Collect the terms in -9910*b - 53030*b - 2081 + 2081.
-62940*b
Collect the terms in 6901*t**2 - 150*t**2 + 8*t + 66*t**2 + 6684*t**2.
13501*t**2 + 8*t
Collect the terms in 461013*g**3 - 231500*g**3 - 229480*g**3.
33*g**3
Collect the terms in -18*x + 7456*x**2 - 22845*x**2 + 7699*x**2 + 7695*x**2 + 18*x.
5*x**2
Collect the terms in 14*d**3 - 5*d**2 + 30609 - 15292 - 15317 + 5*d**2.
14*d**3
Collect the terms in 5584049 - 2791970 + 6*d**2 - 2792079.
6*d**2
Collect the terms in -118*k**2 + 303*k**2 - 185*k**2 + 72*k**3 - 79*k**3 + 50*k**3.
43*k**3
Collect the terms in -23509 - 218031 - 7691*g + 7692*g.
g - 241540
Collect the terms in -c**3 - 1301011*c**2 - 2*c**3 + 1300998*c**2.
-3*c**3 - 13*c**2
Collect the terms in -9796*y**2 - 4028*y**3 + 9796*y**2 - 2.
-4028*y**3 - 2
Collect the terms in 2 - 1 + 26345454*k**2 - 26345446*k**2.
8*k**2 + 1
Collect the terms in 8 - 4 - 2 - 1038*d**2 - 7.
-1038*d**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate prob of picking 1 a and 1 e when two letters picked without replacement from eeeesaemmseee.
4/39
Four letters picked without replacement from {j: 1, d: 7, q: 6, k: 2, h: 1}. Give prob of picking 3 q and 1 d.
1/17
Four letters picked without replacement from {x: 8, k: 1, g: 2, o: 4}. What is prob of picking 2 g and 2 o?
2/455
Four letters picked without replacement from {a: 5, y: 3, o: 1, v: 1}. Give prob of picking 1 y, 1 v, and 2 a.
1/7
Calculate prob of picking 2 g when two letters picked without replacement from {k: 11, g: 3}.
3/91
Four letters picked without replacement from {s: 1, a: 1, t: 2, p: 1, u: 1, y: 1}. What is prob of picking 1 u, 2 t, and 1 a?
1/35
Four letters picked without replacement from jxlwwjlwtlwjtwtwtk. What is prob of picking 1 t and 3 w?
4/153
Two letters picked without replacement from mllmmm. Give prob of picking 2 l.
1/15
Calculate prob of picking 2 p when two letters picked without replacement from poopmmppxomxmxooo.
3/68
What is prob of picking 1 y and 1 c when two letters picked without replacement from ctxcyt?
2/15
Calculate prob of picking 1 k, 2 l, and 1 g when four letters picked without replacement from {l: 2, c: 3, v: 3, g: 1, m: 1, k: 1}.
1/330
Two letters picked without replacement from xsltp. Give prob of picking 1 p and 1 x.
1/10
Two letters picked without replacement from {j: 1, a: 2, x: 1, z: 1}. Give prob of picking 1 j and 1 a.
1/5
Calculate prob of picking 2 p when two letters picked without replacement from uuuupppu.
3/28
What is prob of picking 2 m, 1 c, and 1 w when four letters picked without replacement from {f: 1, a: 3, g: 2, w: 1, c: 2, m: 3}?
2/165
What is prob of picking 2 l and 1 a when three letters picked without replacement from bloaoklbloo?
1/55
Calculate prob of picking 2 x when two letters picked without replacement from {q: 9, f: 2, x: 6}.
15/136
Calculate prob of picking 1 j, 1 a, and 1 c when three letters picked without replacement from {c: 1, j: 3, a: 5}.
5/28
Two letters picked without replacement from {a: 3, j: 1}. Give prob of picking 1 a and 1 j.
1/2
Two letters picked without replacement from ozioiziomomivzivi. What is prob of picking 2 m?
1/136
Four letters picked without replacement from aaafaaf. Give prob of picking 2 a and 2 f.
2/7
Four letters picked without replacement from ceccce. What is prob of picking 3 c and 1 e?
8/15
Three letters picked without replacement from {b: 13, u: 3, c: 1}. Give prob of picking 3 b.
143/340
Three letters picked without replacement from {y: 1, o: 1, j: 1, c: 1, f: 1}. Give prob of picking 1 f, 1 j, and 1 y.
1/10
Three letters picked without replacement from ftdsajaaafasj. Give prob of picking 1 t, 1 s, and 1 a.
5/143
Two letters picked without replacement from pcvpvpaap. What is prob of picking 1 v and 1 a?
1/9
What is prob of picking 3 f and 1 o when four letters picked without replacement from {f: 4, o: 2, m: 1, b: 3}?
4/105
Two letters picked without replacement from {n: 7, q: 3, b: 2}. What is prob of picking 2 n?
7/22
Two letters picked without replacement from {d: 2, r: 6, m: 9}. What is prob of picking 2 r?
15/136
What is prob of picking 1 e, 1 d, and 2 c when four letters picked without replacement from {j: 1, d: 1, l: 1, o: 1, c: 2, e: 1}?
1/35
Two letters picked without replacement from hpcupkmpmppkppp. What is prob of picking 1 u and 1 p?
8/105
Two letters picked without replacement from mimmuiuwbbuu. Give prob of picking 1 u and 1 m.
2/11
Two letters picked without replacement from seggiezsd. What is prob of picking 1 d and 1 z?
1/36
What is prob of picking 3 b and 1 c when four letters picked without replacement from yycbyycycbcbccy?
2/455
Four letters picked without replacement from {g: 1, f: 1, x: 5, b: 2}. What is prob of picking 1 f and 3 x?
5/63
What is prob of picking 1 t and 2 b when three letters picked without replacement from xbjtxtxbtx?
1/40
What is prob of picking 2 c when two letters picked without replacement from {u: 1, k: 2, q: 1, l: 4, f: 4, c: 2}?
1/91
Two letters picked without replacement from {a: 7, x: 5}. What is prob of picking 1 a and 1 x?
35/66
Two letters picked without replacement from {t: 4, o: 3, e: 1, p: 2, m: 4, v: 1}. What is prob of picking 1 t and 1 p?
8/105
What is prob of picking 1 j and 1 y when two letters picked without replacement from {m: 1, l: 7, s: 2, j: 5, y: 1, w: 4}?
1/38
Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, z: 15}.
1/19
Three letters picked without replacement from aasxaaaaxxxaxsaa. Give prob of picking 3 x.
1/56
What is prob of picking 1 w and 1 o when two letters picked without replacement from iwooo?
3/10
Three letters picked without replacement from {y: 8, h: 7, l: 1, r: 1, t: 2, s: 1}. What is prob of picking 2 h and 1 t?
7/190
Calculate prob of picking 2 i and 2 u when four letters picked without replacement from ipiiiiuudiduiipiiduu.
30/323
Two letters picked without replacement from {x: 4, g: 2, u: 8, k: 2}. What is prob of picking 1 x and 1 k?
1/15
Four letters picked without replacement from gqggqg. What is prob of picking 2 g and 2 q?
2/5
Two letters picked without replacement from jtuntu. What is prob of picking 1 n and 1 j?
1/15
Four letters picked without replacement from yyyyyyyyyyttyyyyyy. What is prob of picking 2 t and 2 y?
2/51
Four letters picked without replacement from {t: 1, i: 1, u: 13, f: 2}. Give prob of picking 2 u, 1 t, and 1 f.
39/595
Three letters picked without replacement from zzsnhlblbbzz. Give prob of picking 2 b and 1 n.
3/220
Calculate prob of picking 3 w and 1 q when four letters picked without replacement from ddwwqddqww.
4/105
What is prob of picking 1 r and 1 g when two letters picked without replacement from yytryygrgyyoryyyy?
3/68
Four letters picked without replacement from {p: 9, k: 1, w: 1, u: 2, i: 4}. Give prob of picking 1 i, 1 p, and 2 w.
0
Two letters picked without replacement from yddoyyoyyyyyyy. What is prob of picking 1 o and 1 y?
20/91
Four letters picked without replacement from ddwddddwddwdwdddwdd. Give prob of picking 2 d and 2 w.
455/1938
Three letters picked without replacement from xxdxxdxx. Give prob of picking 3 x.
5/14
What is prob of picking 1 c, 1 s, and 1 j when three letters picked without replacement from {j: 4, c: 7, s: 3}?
3/13
What is prob of picking 1 j and 2 d when three letters picked without replacement from ddddddjdjd?
7/15
Four letters picked without replacement from jjjmjzmmjzzzmjjm. Give prob of picking 2 z and 2 j.
9/130
Two letters picked without replacement from njvjnjnmmrnd. Give prob of picking 1 m and 1 j.
1/11
Two letters picked without replacement from mnsmpxx. Give prob of picking 1 n and 1 s.
1/21
Three letters picked without replacement from rrrrrrorror. What is prob of picking 3 r?
28/55
Calculate prob of picking 1 r and 2 d when three letters picked without replacement from {d: 2, w: 5, r: 1, m: 1}.
1/84
Four letters picked without replacement from {w: 2, h: 8}. Give prob of picking 4 h.
1/3
Calculate prob of picking 2 n when two letters picked without replacement from ntnntrttttttnrnntt.
5/51
Two letters picked without replacement from {n: 1, y: 4, e: 3}. What is prob of picking 1 y and 1 e?
3/7
What is prob of picking 1 d and 2 u when three letters picked without replacement from {d: 7, b: 1, v: 7, u: 2}?
7/680
Three letters picked without replacement from {h: 3, d: 11}. Give prob of picking 3 d.
165/364
Four letters picked without replacement from {m: 3, b: 1, w: 6, f: 4, u: 2, q: 3}. Give prob of picking 2 q and 2 u.
1/1292
Three letters picked without replacement from llllii. What is prob of picking 2 l and 1 i?
3/5
What is prob of picking 1 n and 2 v when three letters picked without replacement from nnvvvvvvvnnnvv?
45/91
Two letters picked without replacement from pfr. Give prob of picking 1 r and 1 p.
1/3
Three letters picked without replacement from tutututttt. Give prob of picking 1 t and 2 u.
7/40
Two letters picked without replacement from hfxfxhhh. Give prob of picking 1 h and 1 f.
2/7
Four letters picked without replacement from {a: 1, v: 17}. Give prob of picking 4 v.
7/9
What is prob of picking 1 r and 1 t when two letters picked without replacement from ptxadrx?
1/21
Three letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
, 3, 760343
What are the prime factors of 32756518?
2, 17, 963427
What are the prime factors of 47415?
3, 5, 29, 109
What are the prime factors of 23142553?
7, 109, 619
What are the prime factors of 1423146?
2, 3, 29, 8179
What are the prime factors of 1076363?
389, 2767
List the prime factors of 483429.
3, 17, 9479
List the prime factors of 186685.
5, 37337
What are the prime factors of 667113?
3, 59, 3769
What are the prime factors of 26308?
2, 6577
List the prime factors of 242968.
2, 11, 251
What are the prime factors of 866919?
3, 288973
What are the prime factors of 8547722?
2, 557, 7673
What are the prime factors of 6303301?
6303301
List the prime factors of 18782528.
2, 31, 9467
What are the prime factors of 1566208?
2, 7, 19, 23
What are the prime factors of 1593457?
419, 3803
List the prime factors of 1292656.
2, 173, 467
What are the prime factors of 1754862?
2, 3, 292477
List the prime factors of 5957.
7, 23, 37
What are the prime factors of 1059798?
2, 3, 173, 1021
List the prime factors of 5425909.
5425909
What are the prime factors of 3684854?
2, 109, 16903
What are the prime factors of 1571343?
3, 359, 1459
What are the prime factors of 15225?
3, 5, 7, 29
What are the prime factors of 2513034?
2, 3, 149, 937
What are the prime factors of 1450622?
2, 37, 19603
What are the prime factors of 29155?
5, 7, 17
What are the prime factors of 1216841?
1216841
What are the prime factors of 16666156?
2, 13, 79, 4057
What are the prime factors of 139268?
2, 37, 941
What are the prime factors of 15870393?
3, 7, 11, 22901
List the prime factors of 1929015.
3, 5, 11, 433
List the prime factors of 308238.
2, 3, 7, 41, 179
What are the prime factors of 2019091?
101, 19991
What are the prime factors of 469813?
19, 79, 313
List the prime factors of 326781.
3, 7, 13, 19
List the prime factors of 25757992.
2, 13, 17, 857
List the prime factors of 3975899.
1381, 2879
List the prime factors of 1332135.
3, 5, 7, 4229
What are the prime factors of 7451399?
7451399
List the prime factors of 40219.
37, 1087
List the prime factors of 869356.
2, 217339
List the prime factors of 5610328.
2, 701291
What are the prime factors of 2611382?
2, 1305691
What are the prime factors of 206534?
2, 37, 2791
What are the prime factors of 372008?
2, 7, 13, 73
List the prime factors of 509596.
2, 127399
What are the prime factors of 296144?
2, 83, 223
List the prime factors of 1491211.
37, 41, 983
List the prime factors of 426600.
2, 3, 5, 79
List the prime factors of 585474.
2, 3, 97579
What are the prime factors of 7995788?
2, 1998947
What are the prime factors of 133743?
3, 109, 409
List the prime factors of 1257691.
1257691
List the prime factors of 194883.
3, 13, 19, 263
What are the prime factors of 6189485?
5, 1237897
What are the prime factors of 198939?
3, 13, 5101
List the prime factors of 180846.
2, 3, 17, 197
What are the prime factors of 8811?
3, 11, 89
List the prime factors of 12808963.
61, 209983
What are the prime factors of 2885156?
2, 71, 10159
List the prime factors of 1790372.
2, 17, 113, 233
List the prime factors of 43114.
2, 21557
List the prime factors of 773030.
2, 5, 23, 3361
List the prime factors of 78884.
2, 13, 37, 41
What are the prime factors of 4395506?
2, 2197753
List the prime factors of 143436.
2, 3, 11953
What are the prime factors of 2621885?
5, 7, 23, 3257
List the prime factors of 12640913.
2801, 4513
What are the prime factors of 25001?
23, 1087
List the prime factors of 18311207.
18311207
List the prime factors of 6618666.
2, 3, 1103111
What are the prime factors of 17598019?
67, 262657
What are the prime factors of 1213800?
2, 3, 5, 7, 17
List the prime factors of 2927640.
2, 3, 5, 31, 787
What are the prime factors of 488680?
2, 5, 19, 643
What are the prime factors of 98481?
3, 17, 1931
What are the prime factors of 42350944?
2, 17, 127, 613
List the prime factors of 904836.
2, 3, 75403
List the prime factors of 4487683.
4487683
What are the prime factors of 24431687?
7, 691, 5051
What are the prime factors of 3855491?
1471, 2621
List the prime factors of 288031.
17, 16943
What are the prime factors of 482942?
2, 19, 71, 179
List the prime factors of 529175.
5, 61, 347
What are the prime factors of 1762394?
2, 881197
What are the prime factors of 33643?
17, 1979
List the prime factors of 1246184.
2, 155773
List the prime factors of 8823342.
2, 3, 11, 43, 3109
What are the prime factors of 9835153?
31, 317263
List the prime factors of 8274704.
2, 517169
List the prime factors of 400183.
7, 8167
List the prime factors of 116501.
7, 11, 17, 89
What are the prime factors of 16731663?
3, 13, 429017
List the prime factors of 175136.
2, 13, 421
List the prime factors of 752474.
2, 376237
What are the prime factors of 531940?
2, 5, 26597
List the prime factors of 15665688.
2, 3, 217579
What are the prime factors of 625688?
2, 7, 11173
List the prime factors of 1765371.
3, 193, 3049
What are the prime factors of 3275641?
809, 4049
What are the prime factors of 2023255?
5, 13, 17, 1831
What are the prime factors of 570115?
5, 7, 13, 179
What are the prime factors of 5511198?
2, 3, 7, 11, 79, 151
What are the prime factors of 30461?
83, 367
What are the prime factors of 1269583?
7, 67, 2707
List the prime factors of 1721380.
2, 5, 86069
List the prime factors of 3092812.
2, 701, 1103
List the prime factors of 10580202.
2, 3, 587789
List the prime factors of 8696099.
61, 142559
What are the prime factors of 3217600?
2, 5, 2011
List the prime factors of 239382.
2, 3, 11, 13, 31
What are the prime factors of 55670?
2, 5, 19, 293
List the prime factors of 1650283.
19, 86857
What are the prime factors of 11499780?
2, 3, 5, 137, 1399
List the prime factors of 6726455.
5, 79, 17029
List the prime factors of 525272.
2, 11, 47, 127
List the prime factors of 5549149.
37, 47, 3191
What are the prime factors of 579202?
2, 13, 22277
What are the prime factors of 4664450?
2, 5, 7, 13327
What are the prime factors of 389147?
11, 17, 2081
List the prime factors of 1631413.
7, 23, 10133
What are the prime factors of 10254731?
59, 179, 971
What are the prime factors of 5787978?
2, 3, 7, 19687
List the prime factors of 557988.
2, 3, 46499
What are the prime factors of 1586868?
2, 3, 223, 593
What are the prime factors of 473848?
2, 61, 971
List the prime factors of 603834.
2, 3, 7, 11, 1307
What are the prime factors of 709558?
2, 354779
List the prime factors of 552771.
3, 59, 347
What are the prime factors of 37074?
2, 3, 37, 167
What are the prime factors of 980517?
3, 211, 1549
What are the prime factors of 50302?
2, 7, 3593
What are the prime factors of 3939602?
2, 1969801
What are the prime factors of 332827?
11, 79, 383
What are the prime factors of 653133?
3, 13, 16747
What are the prime factors of 898654?
2, 17, 26431
List the prime factors of 162773.
13, 19, 659
What are the prime factors of 222760?
2, 5, 5569
What are the prime factors of 11281315?
5, 53, 42571
List the prime factors of 427962.
2, 3, 71327
What are the prime factors of 1942089?
3, 647363
What are the prime factors of 2015900?
2, 5, 19, 1061
List the prime factors of 1609948.
2, 402487
What are the prime factors of 1852226?
2, 926113
What are the prime factors of 7489?
7489
What are the prime factors of 362052?
2, 3, 89, 113
List the prime factors of 78900.
2, 3, 5, 263
What are the prime factors of 533080?
2, 5, 13327
List the prime factors of 5201661.
3, 199, 8713
List the prime factors of 126530.
2, 5, 12653
What are the prime factors of 5366511?
3, 596279
List the prime factors of 1923568.
2, 120223
List the prime factors of 671673.
3, 73, 3067
What are the prime factors of 5827687?
5827687
What are the prime factors of 1431325?
5, 7, 8179
List the prime factors of 161640.
2, 3, 5, 449
What are the prime factors of 8532675?
3, 5, 12641
List the prime factors of 722281.
7, 103183
List the prime factors of 215934.
2, 3, 17, 29, 73
List the prime factors of 30869927.
11, 19, 147703
What are the prime factors of 178209?
3, 19801
List the prime factors of 6351704.
2, 59, 13457
What are the prime factors of 397006?
2, 198503
What are the prime factors of 18461678?
2, 31, 191, 1559
What are the prime factors of 327614?
2, 7, 3343
List the prime factors of 3424112.
2, 214007
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
).
-8
Let m(c) be the first derivative of -4/3*c**3 - 16 + 0*c + 1/2*c**2 - 1/4*c**4. Let x = -3 - 1. Determine m(x).
-4
Let i = -12 + 13. Suppose -4*m + s = -3, -2*s + 0*s = -m - i. Let f(c) = m - 7*c + 5*c - c. Calculate f(1).
-2
Let h(s) = -2*s**3 - 2*s**2 - 2*s - 1. Suppose -3*b = -0 - 15. Let f be -4*b*20/(-50). Suppose 2*k - 6*k - f = 0. Calculate h(k).
11
Let j = -7 - -6. Let y be (1 - 9) + (1 - j). Let t be y/(-8)*(0 + -8). Let b(h) = h**2 + 7*h - 7. Calculate b(t).
-13
Let b(a) be the third derivative of -a**4/24 - 7*a**3/6 - 2*a**2. Let i(v) = v**2 + 2. Let x be i(-2). Determine b(x).
-13
Let s(q) = q**2 + q - 3. Let l be s(0). Let i(d) be the second derivative of -1/3*d**4 - 1/2*d**3 - 12*d + 0 - 1/20*d**5 - d**2. Calculate i(l).
-2
Let z be (-1 - (-3 - -2)) + 1. Let w be 4/16*-2 + 190/4. Let s(d) = 1 - 23*d - 26*d + w*d - 13*d. Determine s(z).
-14
Let v(k) = k**2 - k - 1. Let a(r) = -4*r**2 + 2*r - 1. Let h(d) = a(d) + 3*v(d). Let q(t) = -2*t**2 - 2*t - 9. Let n(x) = -5*h(x) + 2*q(x). Calculate n(3).
14
Suppose -2*m + 5*m + 9 = 2*j, -12 = 4*m - 4*j. Let n(y) be the second derivative of -y**5/10 - y**4/3 + y**3/6 + y**2/2 - 47*y. Calculate n(m).
16
Suppose 0 = -5*o + 73 - 13. Suppose w = -0*w - 4*p + o, 4*w - 20 = -2*p. Let a(c) = 0*c**3 - 3*c**2 + c**3 - 2*c + 5 - c**2. Give a(w).
-3
Let t(v) be the third derivative of 0 - 1/3*v**3 - 1/6*v**4 + 0*v - 18*v**2 - 1/60*v**5. Determine t(-4).
-2
Let r(y) = 5*y**3 - 12*y**2 + 11*y - 20. Let b(u) = -14*u**3 + 35*u**2 - 32*u + 58. Let f(t) = -6*b(t) - 17*r(t). Give f(-7).
6
Suppose -49*u - 83*u = -528. Let v(l) be the second derivative of -1/12*l**u - 1/10*l**5 + 0 - 13*l - 1/2*l**2 + 1/3*l**3. Give v(-2).
7
Let n(c) = -c**2 + 41*c - 329. Let w be n(30). Let p(y) = 9*y**2 - 4*y + 1. Determine p(w).
6
Let b be ((-22)/(-60) - 12/(-90))*6. Let p(f) be the third derivative of -f**6/120 + f**5/30 - f**4/8 + f**3/6 + 27*f**2. What is p(b)?
-17
Let f = 3 + -4. Suppose -5*l - 10 = -0*l. Let n(m) = 6*m**2 + 2*m + 3. Let u(c) = -c**2 - 1. Let v(z) = l*u(z) - n(z). Determine v(f).
-3
Let p(q) be the second derivative of 1/6*q**4 + 16*q + 1/2*q**2 + 1/6*q**3 + 0. Suppose 0 = 4*x - 0*x + 8. Calculate p(x).
7
Let m(b) = 4 + b - 3 + 5. Let a(c) = 2*c + 6. Let k(d) = 3*a(d) - 4*m(d). Let h = -130 + 134. What is k(h)?
2
Let a(b) = b - 6. Let u be a(0). Let n(p) = -32*p**3 - 3 + 8*p + 33*p**3 - 2 + 12 + 7*p**2. What is n(u)?
-5
Let o = 1146 + -3436/3. Let w(k) be the second derivative of -o*k**4 - 2*k**2 + 0 + 1/6*k**3 - 9*k + 1/20*k**5. Calculate w(8).
4
Let r = 1116 - 1119. Let b(t) = 7*t - 1. Determine b(r).
-22
Let t be 2*3/6*7. Let h(z) be the second derivative of -z**5/20 + 7*z**4/12 + z**3/3 - 5*z**2 + 3*z - 8. Determine h(t).
4
Let j(l) = 98*l + 1 + 100*l - 192*l. Give j(2).
13
Let d(s) = 57 - 2*s**3 - 46 + 16*s**2 + s**3 + 2*s - 18*s. What is d(15)?
-4
Suppose 34*y = -83 + 49. Let w(p) = 23*p**3 - 2*p - 1. Determine w(y).
-22
Let a = -6 - -2. Let g be (a/(-6))/(8/36). Let s = 0 + g. Let h(l) = -l + 4. Determine h(s).
1
Let j(a) = -a + 1. Let r(c) = -7 - 1 - 2*c + 0*c - c**2 - 2*c. Let f(q) = 3*j(q) + r(q). Calculate f(-7).
-5
Let l(c) be the third derivative of -c**6/120 - c**5/12 - c**4/12 + 2*c**2. Let b(p) = -4*p + 53. Let y be b(14). Determine l(y).
-12
Let k be (-2)/(-3)*15/(-10). Let z(g) = -g + 450*g**3 - 238*g**3 - 228*g**3. What is z(k)?
17
Let c(n) = -n**2 + 2*n + 7. Suppose 35 - 20 = -y. Let z be (213/90 - 2/y)*2. Calculate c(z).
-8
Let j(a) be the first derivative of -3*a**5/5 - a**4/6 - a**3/6 - 20*a + 12. Let d(s) be the first derivative of j(s). Give d(-1).
11
Let i be (-35)/4 - 1/4. Let a = i - -11. Let f(y) = 0*y - 7 + a*y + 6 + 2. What is f(1)?
3
Let x(t) = -3*t**2 + 4*t - 3. Let y = 3 + -5. Let g(c) = -10*c**2 + 11*c - 8. Let q(o) = y*g(o) + 7*x(o). Let z be 2/9 + (115/9 - 9). Determine q(z).
3
Let v = 4 - 0. Suppose 2*d - d = v. Let n be 2/(-4)*d/2. Let h(y) = 10*y**2 + y + 1. Calculate h(n).
10
Let u = -19 + 21. Let w(s) = s**3 - 5 + 0*s**3 - 8*s + 11*s**u - 7*s**2. Calculate w(-5).
10
Let l(y) = 2*y**3 + 74*y**2 - 3*y - 119. Let g be l(-37). Let p(s) = -4*s - 22. What is p(g)?
10
Suppose -m + 5*h - 1 + 24 = 0, -m + 7 = -h. Let d(s) = 3*s**2 + m*s**3 + 3*s - 180 + 180. Let c = -2 + 0. Calculate d(c).
-18
Suppose 17*v = 13*v - 4*k - 4, 3*v - 2*k = 7. Let i(m) = -10*m**2 + m - 1. What is i(v)?
-10
Let x be (3/4)/((-7)/(-28)). Let g be 8/20 + 26/10. Let m(f) = -f**3 + 3 + g*f + 1 + f**2 - 6*f + 2*f**2. Give m(x).
-5
Let v(n) be the second derivative of 4*n**3/3 + 7*n**2/2 - 2*n. Let y(k) = -4*k - 3. Let f(g) = -2*v(g) - 5*y(g). Let s = -1 + 2. Calculate f(s).
5
Let g(u) = u**2 + 2*u - 9. Let b be g(-5). Let w(r) = -1 + b*r - 22*r**2 + 24*r**2 + 2. Determine w(-4).
9
Suppose 0 = -2*p + 9*p - 42. Let x(w) = w**2 - w - 8. Give x(p).
22
Suppose -4*z + 28 = 2*f, -f - 5*z = f - 32. Suppose 10 = -f*r - 32. Let j(u) = 7*u + 20. Let a(v) = 3*v + 10. Let o(c) = -5*a(c) + 2*j(c). Determine o(r).
-3
Let d(i) = 4*i + 16 - 35 + 21. Let n(w) = w - 7. Let s be n(3). Let y be 2/3*(-2 + s). What is d(y)?
-14
Let z(v) = 4*v**2 - 8*v + 6. Let h(o) = 5*o**2 - 7*o + 5. Suppose 7 = 5*b - q + 21, -3*b - 14 = 5*q. Let w(u) = b*h(u) + 4*z(u). Give w(9).
-9
Let h(q) = -2*q - 8. Suppose 4*r - 26 - 94 = 0. Suppose -2*o + r = -4*n, -3*o = -5*o - 2. Give h(n).
8
Let x(d) be the first derivative of -5*d**2/2 + 2*d + 4. Let r = -13 + 26. Let t = 16 - r. Determine x(t).
-13
Let w be ((-4)/(-1) + -4)/((-2)/(-2)). Let j(x) = -x**2 - 17 + 19 + 2*x - 2*x. Give j(w).
2
Let t(p) be the third derivative of -p**6/360 - p**5/40 + p**4/6 + p**3 - 5*p**2. Let u(a) be the first derivative of t(a). Determine u(-4).
0
Let a(b) be the third derivative of -1/6*b**3 + 1/60*b**5 + 0*b + 1/30*b**6 - 1/24*b**4 + 0 - 27*b**2. Give a(-1).
-3
Let k = -2321 + 2325. Let n(l) = 3*l - 11. Determine n(k).
1
Let r(u) = 6*u**2 + u + 1. Let w be r(-1). Let f(n) be the first derivative of w*n**2 - 3*n + n + 3 - 4*n**2 - 5*n. What is f(5)?
13
Suppose -2*d + 8*d + 168 = 0. Let t = 30 + d. Let f(n) be the third derivative of -n**5/60 + n**4/24 + n**3/6 + n**2. Calculate f(t).
-1
Let f(m) = -7 + 28 + 5*m**2 - 11 - 9. Suppose -2*u - 3*d - 13 = 0, 5*u - d - 2 - 8 = 0. Calculate f(u).
6
Let x(r) = -18*r**2 - r - 1. Let h(u) = 13*u - 131. Let c be h(10). Give x(c).
-18
Suppose -2*t + 3*p + 18 = 0, 4*p + 16 = -0*p. Let k(b) = -2 + t*b + 2*b + 14*b**2 - 23*b**2 + 10*b**2. Calculate k(-4).
-6
Let g(y) = y**2 + 11*y + 14. Let b(m) = m**2 + 17*m - 10. Let s be b(-17). Determine g(s).
4
Suppose -9*q + 2 = -16. Let w(d) = d**3 + d**2 - 2*d - 1. Calculate w(q).
7
Let y(m) = -m**2 - 3*m + 5. Let j be 2/7 + ((-550)/(-7))/5. Let d be 7/(28/j) - 10. Give y(d).
-13
Suppose 0 = q + 4*q - 10. Let o(p) = 75 - 2*p + 70 - 211 + 67 + 2*p**2. Give o(q).
5
Suppose -26*v = -113 + 9. Let z(r) = -r**2 + 3*r + 1. Give z(v).
-3
Let b be 6*-2*(-14)/8. Suppose 14*i - b = 11*i. Let x(z) = -z - 1. What is x(i)?
-8
Suppose 5*s + 4 - 54 = 0. Suppose 0 = -4*o + 2*x + s, 0*x + 10 = 3*o - 2*x. Let m(u) = 3*u**2 - u - 1 + u**2 - 1 - 5*u**2. Calculate m(o).
-2
Let n be 3 + 0 - 3 - 0. Let g be (n - 12/(-10))*-5. Let o(a) = a**3 + 5*a**2 - 5*a - 2. Determine o(g).
-8
Let n(w) = -w - 5. Let d be ((-4)/(-12)*-3)/((-1)/11). Suppose 0 = d*k - 17*k - 36. Calculate n(k).
1
Let x(h) = h**2 + 3*h - 3. Let s(i) = -3*i. Let u be s(-2). Let j be 30/(-210) - (15/(-7) - 1). Suppose j*k - u = 4*k. What is x(k)?
15
Let f = 5 + -4. Let c be (f - 2)/((-6)/(-18)). Let q(m) = -m**2 - m + 7. Let v(w) = -w**2 + 2*w + 16. Let r(s) = 2*q(s) - v(s). Calculate r(c).
1
Let h(l) = l**2 + 5*l - 2. Let i be h(-4). Let o(n) = 3 - 2*n - 6 - 4*n + 5*n. Calculate o(i).
3
Let g be 5*(4 + (-72)/20). Let s(h) = -20*h**2 + 19*h**g - 6 + h + 2. What is s(3)?
-10
Let v(z) = 11 + 9*z - 4*z - 12 - 3*z**2 - 4 - 1. Determine v(3).
-18
Let i(z) = z**3 + 4*z**2 + 3*z + 1. Let t be (0 - -1 - 104)/(-1). Suppose -w = -3*b - 11, 0 = -5*w - 0*w - b + t. Suppose -6*l - w = -l. Give i(l).
-11
Let u = 303 - 303. Let p(q) = -2*q**2 + 2*q - 4. Let j = 2 - -3. Let b(s) = s**2 - s + 2. Let y(w) = j*b(w) + 2*p(w). Give y(u).
2
Let u(p) = p**3 - p**2 - 7*p - 5. Let f be u(-2). Let n(c) = -2*c**2 + 4*c - 1. Let x(i) = i**2 - 4*i + 2. Let o(j) =
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*q - c*g, 0 = -5*q - 5*g + 1110. Does 17 divide q?
True
Does 16 divide 8 + (-90)/(-75) + 6948/10?
True
Suppose -381 = -y + 21. Suppose 4*p - 836 = -824. Suppose k + 2 + 2 = 0, -p*t + 3*k = -y. Does 26 divide t?
True
Suppose 4*a - 2*a = 18. Let l = a - 7. Suppose 5*v - 156 = l*v. Is v a multiple of 12?
False
Let p(t) = -375*t**3 - 5*t**2 - 11*t - 26. Does 213 divide p(-4)?
False
Let f = 301 - 298. Suppose f*r = 4*p + 1264, -4 = -3*p + 11. Is r a multiple of 72?
False
Let i = 23 - 55. Suppose 4*w - w = -453. Is 19 a factor of (-16)/i + w/(-2)?
True
Let j(v) = 85*v + 10558. Is 9 a factor of j(20)?
True
Suppose -4*p - 2*k = -66020, 5*p + 263*k - 260*k - 82523 = 0. Is 17 a factor of p?
True
Let m(p) = -5*p**3 + p**2 - 203*p + 36. Does 187 divide m(-17)?
False
Suppose 43 = 16*a - 37. Let f(l) = l**3 - l**2 - 8*l + 42. Is 12 a factor of f(a)?
False
Let n = 6382 - 5878. Is n a multiple of 5?
False
Let x be (256/12 - 4/3)/2. Suppose -x*l - l = -792. Is l a multiple of 11?
False
Let i(n) = -n - 15. Let d be i(2). Let u = d - 30. Let y = 8 - u. Is y a multiple of 29?
False
Let v = 80269 - 46774. Is 21 a factor of v?
True
Suppose -218 = -6*m + 82. Let i be (-1 - -4) + m/10. Suppose i*u - 516 = -36. Is 20 a factor of u?
True
Let o(p) = -1432*p + 8960. Is 240 a factor of o(-10)?
True
Let k(y) be the third derivative of y**5/60 - 5*y**4/12 + 4*y**3 + 12*y**2 - 2. Let w be (-5)/10*-7*2. Is 3 a factor of k(w)?
True
Let m(r) = 7879*r**2 + 67*r - 68. Is m(1) a multiple of 101?
True
Let b(m) = -12*m - 189. Let a be b(-16). Suppose n = 4*k - 681, -k + a*n = 34 - 196. Does 19 divide k?
True
Let f be 6/(-9)*6*1. Let r be 0/(f + 3 + 3) - -2. Suppose -3*a + v + 83 = 0, -r*v = a - 36 + 6. Does 23 divide a?
False
Let n = 27 - 8. Let l(m) = -3*m + n + 36 - m**2 + 36. Is l(0) a multiple of 17?
False
Suppose 12*q = -y + 7*q + 679, 2037 = 3*y - 6*q. Is y a multiple of 17?
False
Let k = -17485 + 24895. Is 65 a factor of k?
True
Suppose t - u = -18 + 13, -t - 5*u = -25. Suppose 160*s - 169*s + 297 = t. Is 3 a factor of s?
True
Let l = 7101 - 3884. Is 38 a factor of l?
False
Let h(y) = 4 + 8*y + 0 + y**2 - 2. Let x = 3830 - 3840. Is 22 a factor of h(x)?
True
Is 178 a factor of (27977949/(-54))/(-41) - (-14)/12?
True
Let k = -10986 + 38001. Does 22 divide k?
False
Let w(i) be the third derivative of -48*i**2 + 0*i + 61/6*i**3 - 3/2*i**4 + 0. Is w(-9) a multiple of 55?
True
Suppose -3*h = 3*o - 24, 4*o - 27 = -2*h + 15. Suppose -d - 4*d = -255. Let w = o + d. Does 9 divide w?
False
Let f(j) = 2*j**3 - 93*j**2 - 72*j + 146. Is 104 a factor of f(48)?
False
Suppose 21*n + 13746 - 23930 = 13021. Does 47 divide n?
False
Suppose 0 = -7*x + 8 + 13. Suppose -5 = -5*f - x*m + 7, -2*m = 5*f - 13. Does 4 divide 17 + -10 + (1 - 1) - f?
True
Let d be ((-575)/50)/(-1*1/4). Let u = d + -50. Is 13 a factor of (u*65/(-30))/((-1)/(-18))?
True
Let z = -17197 - -25130. Does 3 divide z?
False
Let p(q) = -7*q - 67. Let g be p(-9). Let j(t) = -3*t**3 + t**2 - 19. Let x be j(g). Suppose -6*c + x = -3*c. Is c a multiple of 8?
False
Let b be (16 + 4 + -2)*(2 + -5). Let g = 434 + b. Suppose g = -6*d + 10*d. Is d a multiple of 19?
True
Let g(q) be the second derivative of q**5/20 + 2*q**4/3 + 7*q**3/3 + 2*q**2 - 11*q. Let o be g(-5). Suppose 22*n - o*n = 260. Is 9 a factor of n?
False
Suppose 48471 + 2803 = 22*j - 142128. Does 87 divide j?
False
Let d = 43 - 31. Let o be 3/1 + d + -15. Is (o + -2 - -5)*1 a multiple of 3?
True
Let g(c) = 27*c + 298. Let p be g(-11). Is 21 a factor of -392*p*(-4 + (-44)/(-14))?
True
Let o = -124 - -252. Suppose p - o = 112. Is 48 a factor of p?
True
Suppose 5*y + 2287 = 2*c + 26900, 5*y - 24655 = -5*c. Is 10 a factor of y?
False
Suppose 6*i - 1485 = 867. Suppose 0 = c - 2*c. Suppose c*k + 4*k = i. Is 20 a factor of k?
False
Does 15 divide (10*2/8)/((-21)/42) + 6423?
False
Let c(g) = g**3 + 9*g**2 + 7*g - 4. Let n be c(-8). Suppose -n*y + 168 = -y. Suppose -d + 36 = -4*r, 0 = 3*d + r - 0*r - y. Does 8 divide d?
False
Suppose -2*z = -m - m + 6, -3*z + 2*m - 4 = 0. Suppose -z*s + 2959 = 2*s - f, 4*f = -4*s + 2984. Is 7 a factor of 2/(-5) + (s/(-15))/(-1)?
True
Let c = -5921 + 10406. Is 39 a factor of c?
True
Suppose -25*z + 6486 = -22*z + 3*l, 4310 = 2*z - 5*l. Does 30 divide z?
True
Is 5 a factor of 30*(11 + -12)*(-54)/15?
False
Let z be (-14)/(-6) + 18/(-54). Suppose z*d = 441 - 63. Does 16 divide d?
False
Let s be (-24)/10*(8070/(-20) + -4). Let t = s - 617. Does 19 divide t?
True
Let o(v) = 3*v**3 + 15 - v + 46*v**2 + 6*v**3 - 48*v**2 - 4*v**3. Let c be o(3). Suppose -3*m = -c - 33. Does 6 divide m?
True
Let j(u) = -1746*u - 16. Let v be j(-3). Is 22 a factor of v/6 + 22/33?
False
Is 455 - (-54)/(-36)*(-3 + 1) a multiple of 33?
False
Does 72 divide 42/49 + 429369/119?
False
Let p(u) be the first derivative of 3*u**5/10 + u**4/12 + u**2 + 21*u + 38. Let y(b) be the first derivative of p(b). Does 11 divide y(2)?
False
Suppose 0 = 4*w - 12, -5*r - 4*w + 2040 = w. Does 7 divide r?
False
Suppose 2*g = -2*f + 9658, -g + 4*f - 2473 = -7307. Suppose -g = 28*d - 51*d. Does 35 divide d?
True
Let r(g) = -5*g - 21. Let p be r(-9). Suppose 5*v - 104 = -p. Suppose 12*l = v*l - 308. Is 12 a factor of l?
False
Suppose x - 4*k = -x + 20160, -10062 = -x - k. Is 12 a factor of x?
True
Suppose 5543*q - 107400 = 5493*q. Does 193 divide q?
False
Suppose -17378 - 458 = -13*m. Does 83 divide m?
False
Let k(j) = -j**2 - 13*j + 46. Let s(m) = m - 1. Let o(p) = -k(p) - 5*s(p). Is 24 a factor of o(-14)?
False
Let n be (-27483)/15 + 7/35. Let t = n - -2867. Does 13 divide t?
False
Suppose -196560 = -152*x + 89*x. Does 4 divide x?
True
Let v = 3393 - 2967. Is 4 a factor of v?
False
Let a be (-208)/((2/(-4))/((-27)/(-36))). Suppose -306*i - 2268 = -a*i. Is 7 a factor of i?
True
Suppose -55656 + 10078 = -26*h. Is h a multiple of 127?
False
Let l(d) = d**2 - 64*d - 427. Is l(-15) a multiple of 19?
False
Suppose 285682 = 21*u - 110831 + 57636. Does 15 divide u?
False
Let u be 213/1*(-3)/6*-2. Suppose 5*n = -t + 350, n = -t - 2*n + 354. Let i = t - u. Is i a multiple of 8?
False
Let w = 2559 + -780. Let p = w + -1251. Is p a multiple of 66?
True
Suppose -245*i + 260*i - 83160 = 0. Is i a multiple of 56?
True
Suppose 9*p - 10*p - 3 = 0. Is (-321)/p + (-24)/(-4) a multiple of 12?
False
Suppose 10*f + 2302 + 1018 = 0. Let y = f - -615. Does 6 divide y?
False
Let q = 4088 + -3568. Does 130 divide q?
True
Let v be (3/(-9))/(7/(-1218)). Suppose 5*a - 897 = 4*k, -4*k + 461 + v = 3*a. Does 5 divide a?
False
Let x(s) = -142*s + 1138. Let m be x(8). Let j be (0 + 1)*(0 + 277). Suppose -63 = -3*d + 5*h + j, m*h = 2*d - 224. Is 17 a factor of d?
False
Suppose 5*h = -2*o + 679, -5*o + 43*h - 42*h + 1684 = 0. Is o a multiple of 20?
False
Suppose 2*j - 4*o - 348 = 0, 5*o = 3*j + 2*o - 507. Suppose 2*x = -3*v - 138, 3*x - 5*x + 5*v - 122 = 0. Let b = j + x. Does 9 divide b?
False
Suppose 2*b + h - 4648 - 5683 = 0, -2*b + 2*h + 10322 = 0. Is b a multiple of 5?
False
Let n = 1616 + 9079. Does 155 divide n?
True
Is (1*-2 - -3550) + (244 - 235) a multiple of 80?
False
Suppose -11*g - 1579 + 259 = 0. Let z = 300 + g. Let b = z - 48. Does 12 divide b?
True
Suppose -52 = -4*m + 236. Suppose 19*n = 22*n - 72. Let q = m - n. Is q a multiple of 12?
True
Let t(b) = 70*b - 39. Let h(l) = -18*l + 10. Let y(u) = -9*h(u) - 2*t(u). Let i(f) = f**3 - 16*f**2 + 17*f - 24. Let r be i(15). Is y(r) a multiple of 10?
True
Suppose -4*r + a = 21, 3*r + 21*a - 16*a = -33. Let h(z) = 12*z**2 - 29*z. Is 101 a factor of h(r)?
True
Let p be (-1)/(-10) - 1975962/(-380). Suppose 13*b - p = 14534. Does 69 divide b?
True
Let h = -16048 - -29036. Is 76 a factor of h?
False
Let u = -149 + 210. Let d = u - 61. Suppose -3*j - 5*w + 356 = d, 4*j + 2*w + w = 460. Is 21 a factor of j?
False
Suppose 575*r - 585*r + 1070 = 0. Does 6 divide r?
False
Suppose 4*g + 2*r - 21856 = 0, 93*g - 16425 = 90*g + 4*r. Is 17 a factor of g?
False
Let n(s) = 10*s**2 + 47*s + 303. Is 49 a factor of n(-23)?
False
Let t(z) = 18*z**2 + 61*z + 7. Is 50 a factor of t(15)?
False
Suppose 3 = 3*o, -2*o + 85 = -5*q - 52. Let j(v) = -v**3 - 28*v**2 - 29*v + 105. Is 3 a factor of j(q)?
True
Let x be 19664/112 - 6/(-14). Let o = 319 - x. Is 13 a factor of o?
True
Suppose 5*k - 4*g = 76,
|
{
"pile_set_name": "DM Mathematics"
}
|
(832) + 2 + ((1 + sqrt(832))*3 - sqrt(832))**2.
80*sqrt(13) + 3341
Simplify (5*(-1*sqrt(175)*-6 + sqrt(175) + 1))**2.
1750*sqrt(7) + 214400
Simplify (0 + (sqrt(162) - (sqrt(162) - (sqrt(162) + sqrt(162) + 0))) + 6*((sqrt(162) - 2*sqrt(162)) + sqrt(162)) + -1)**2 + 4.
-36*sqrt(2) + 653
Simplify (sqrt(110) - (sqrt(110) - -5*(sqrt(110) + sqrt(110)*-4)))/(sqrt(40)/(sqrt(8)/sqrt(2))).
15*sqrt(11)
Simplify (((sqrt(72) + -1)**2*-4 - sqrt(72) - (-1 + 1 + sqrt(72))) + -1)*-1.
-36*sqrt(2) + 293
Simplify (sqrt(208) + 4 + sqrt(117) + -4)**2 + (sqrt(156) - 4*(2*sqrt(156) + sqrt(156)))/(sqrt(432)*2).
-11*sqrt(13)/12 + 637
Simplify ((4 + 2 + sqrt(12))*1 + 2)**2 + -5.
32*sqrt(3) + 71
Simplify -1 + (sqrt(133) + (-2*sqrt(133) + sqrt(133))*2 + sqrt(133))/(sqrt(847) + -3*sqrt(847) + sqrt(847)).
-1
Simplify -5 + -6*(4 + (sqrt(243) - sqrt(243)*-1)**2).
-5861
Simplify 1*sqrt(1100) + 2 + (sqrt(1584) + 2 + -2)**2.
10*sqrt(11) + 1586
Simplify (((sqrt(308) + -2*(sqrt(308) + (1*sqrt(308) - sqrt(308))))*6)/(1*sqrt(176)*1 + sqrt(176) + sqrt(176)))**2.
7
Simplify ((sqrt(85)*1*5)/(sqrt(5) + sqrt(30)/sqrt(6)*3))**2.
425/16
Simplify (-5*(sqrt(39)/sqrt(3)*1 - (sqrt(1300) + 1))*4)**2*3.
21600*sqrt(13) + 1264800
Simplify (sqrt(22)/(sqrt(44) + sqrt(11)) + (sqrt(2) - sqrt(32)*5 - sqrt(2)))**2 + -5.
6917/9
Simplify (0 + (1*1*sqrt(121))/(6*sqrt(44)/sqrt(4)))*1.
sqrt(11)/6
Simplify (2*(-3*(sqrt(117) + (2*sqrt(117) - sqrt(117))) - sqrt(117)))/(sqrt(63)/(sqrt(28)*-1)).
28*sqrt(13)
Simplify -5*(sqrt(24)/sqrt(2) + 4)*-3.
30*sqrt(3) + 60
Simplify ((sqrt(144) + sqrt(144)*2)*-3)/(sqrt(128)*1*-2).
27*sqrt(2)/8
Simplify (sqrt(2880)*-2)/((sqrt(9) - (sqrt(9) + sqrt(441)) - sqrt(9))*4).
sqrt(5)/2
Simplify -5 + ((sqrt(77) + (sqrt(77) - (sqrt(77) - -1*sqrt(77))) + sqrt(77) + sqrt(77))*4)/(sqrt(1331)*1 + sqrt(11))*-5.
-10*sqrt(7)/3 - 5
Simplify 3 + sqrt(91)/sqrt(7) + (sqrt(104) - -3*sqrt(104))/sqrt(8) + ((sqrt(78)/(sqrt(24)/sqrt(4)) - sqrt(13)) + 5)**2 + -2.
5*sqrt(13) + 26
Simplify (1*sqrt(34)*-4 - (sqrt(306) + sqrt(306) + (sqrt(306) - (-2*sqrt(306) - sqrt(306))) - sqrt(306) - sqrt(306)))/(5*(5*sqrt(8)/sqrt(4) + sqrt(2))).
-8*sqrt(17)/15
Simplify (-6*-5*(sqrt(1900) + sqrt(1900)*1*-1)*3*2)**2.
0
Simplify ((sqrt(76) + (sqrt(76) - -2*sqrt(76)))*5*4)/(5*(-3*sqrt(144) + sqrt(144))).
-4*sqrt(19)/3
Simplify ((-2*(-1*sqrt(15) + sqrt(15)))/(sqrt(3) + (sqrt(3) + sqrt(48))*1 - sqrt(3)))**2.
0
Simplify ((sqrt(5) + (sqrt(20) + sqrt(80)/sqrt(4))/sqrt(4) + -3)*5*-6 + -5)**2.
-15300*sqrt(5) + 47725
Simplify 2*(0 + (sqrt(275) - (-5 + ((sqrt(275) - (sqrt(275) + -3*sqrt(275)))**2 - sqrt(275)))))*-1.
-20*sqrt(11) + 4940
Simplify (-6*(sqrt(170)*2 - sqrt(170)) - -3*1*sqrt(170))/(sqrt(50)/(sqrt(60)/sqrt(48))).
-3*sqrt(17)/2
Simplify 3 + ((sqrt(12)*-2)/sqrt(6) + sqrt(150)/sqrt(3) - (-1 + (sqrt(32))**2*2)).
-60 + 3*sqrt(2)
Simplify (sqrt(102)/(sqrt(30)/sqrt(10)))/(sqrt(18)/sqrt(9)*4).
sqrt(17)/4
Simplify (sqrt(480)/(sqrt(36)/sqrt(3)) + sqrt(40) + (sqrt(40) - (sqrt(40) - (sqrt(640) + sqrt(40))*-1)))/(sqrt(72)*-1*2).
sqrt(5)/2
Simplify -4*(-5 + (sqrt(76) - (0 + sqrt(76) + -1)) + -4)**2*-1.
256
Simplify ((sqrt(336) + sqrt(336) + sqrt(336) + (3*sqrt(336) - sqrt(336)))*-6)/(sqrt(49)/(-2*sqrt(7))) + 5.
5 + 240*sqrt(3)
Simplify (sqrt(192) + 1)*2 - (-1 + sqrt(192) + 1) - (1*(sqrt(432) + sqrt(432)*2)**2 + -1).
-3885 + 8*sqrt(3)
Simplify -3*(sqrt(50)*3)/sqrt(10) + sqrt(55)/((sqrt(55)*1)/sqrt(5)).
-8*sqrt(5)
Simplify ((-3*((sqrt(117)*-1 - sqrt(117)) + sqrt(117)))/sqrt(9) - 5*(-3*sqrt(156))/sqrt(12))**2 + 2.
4214
Simplify ((-5*(-1*sqrt(315) + sqrt(315)))/sqrt(9))/(-2*-1*sqrt(175))*6.
0
Simplify -3*(sqrt(44)/sqrt(4)*-2 + (-5*sqrt(1100))**2 + sqrt(11)).
-82500 + 3*sqrt(11)
Simplify -3*sqrt(64)/sqrt(72) + ((sqrt(64) - (sqrt(64) + (sqrt(64) - sqrt(64)*2)*3)) + sqrt(64))/sqrt(2).
14*sqrt(2)
Simplify (2*sqrt(117)*2 + 6*(sqrt(117) + -2*sqrt(117)))/((sqrt(9)*-3 + sqrt(9))*5*-4).
-sqrt(13)/20
Simplify (0 + 3*sqrt(208) + 5)*-1 + -4.
-12*sqrt(13) - 9
Simplify (2 + -2*(-1 + sqrt(75) - sqrt(75)) - (-6*sqrt(6)*1)/(sqrt(98)*2))**2.
24*sqrt(3)/7 + 811/49
Simplify ((sqrt(1225) + 2*sqrt(1225)*2 + sqrt(1225) + sqrt(1225))/(-1*sqrt(605) - (sqrt(5) - (2*sqrt(20))/sqrt(4))))**2.
2401/20
Simplify (-3*sqrt(17) + 0 - sqrt(136)/sqrt(128) - (2 + 1 + sqrt(2448) + -4))**2.
-61*sqrt(17)/2 + 63273/16
Simplify (sqrt(8) - -5*(sqrt(200) - sqrt(8)))/sqrt(4) + (3 + -1 + sqrt(2))**2 + -4.
2 + 25*sqrt(2)
Simplify ((sqrt(18)*1)/sqrt(2) - (sqrt(81) + 2*sqrt(81))/sqrt(9))/((sqrt(147) - -3*-2*sqrt(147)) + sqrt(147)).
sqrt(3)/14
Simplify (5*(-5*(-2 + sqrt(125)) - (4 + sqrt(125)*1))*1)**2.
-9000*sqrt(5) + 113400
Simplify ((sqrt(17)*-2*2 - (sqrt(153) + (sqrt(153) - -2*sqrt(153)) + sqrt(17))) + (sqrt(68) + (sqrt(68) - sqrt(68)*2) + sqrt(68) - sqrt(68))/sqrt(4) + 3)**2.
-102*sqrt(17) + 4922
Simplify -3*sqrt(68)*-4 + sqrt(34)/(sqrt(2) - (sqrt(162) - -2*sqrt(162))).
623*sqrt(17)/26
Simplify 0 + (sqrt(7) - (-1 + sqrt(7)*2) - sqrt(7))*4 + (sqrt(70)/(sqrt(5) + sqrt(5) + sqrt(5)*-1))/(sqrt(242)*-1).
-89*sqrt(7)/11 + 4
Simplify (0 + sqrt(432) + 1 + 2 + sqrt(432) - (-1 + sqrt(432))*4*2)**2.
-1584*sqrt(3) + 15673
Simplify 2*(2 + 6*sqrt(44) - sqrt(99)/(-3*(sqrt(9)*-2 - sqrt(9)))).
4 + 214*sqrt(11)/9
Simplify 3*((sqrt(112)*6)/((sqrt(20)*2)/sqrt(5))*-4)**2.
12096
Simplify 2*2*(0 + 6*sqrt(1575)) + 1.
1 + 360*sqrt(7)
Simplify -2*((sqrt(6292) + 1*sqrt(6292))*6 + sqrt(6292) + 0 + -4)*2.
-1144*sqrt(13) + 16
Simplify (sqrt(39) + (4*sqrt(273))/sqrt(7))/(sqrt(3) - (sqrt(300) + sqrt(300)*4) - sqrt(3) - sqrt(3) - sqrt(3)).
-5*sqrt(13)/52
Simplify -1 + (sqrt(13) - (0 + (sqrt(13) - sqrt(52))) - (sqrt(1300) - (sqrt(1300)*-1 - sqrt(1300))))**2 + (-4*(sqrt(39) + -1*sqrt(39) + sqrt(39)))/sqrt(3).
-4*sqrt(13) + 10191
Simplify -1 + (0 + sqrt(425))**2 + -5*(sqrt(425) + 1)**2 - (-2*(-1 + sqrt(425))*3)**2.
-17042 + 310*sqrt(17)
Simplify (-3*sqrt(16)*2)/(3*(sqrt(8) + sqrt(288))) + 2.
-2*sqrt(2)/7 + 2
Simplify (((sqrt(171) - 1*sqrt(171)) + sqrt(171))*4 + (2*(-1*sqrt(171) + sqrt(171)) - sqrt(171) - sqrt(171)))/(-5*sqrt(54)/(sqrt(12)/sqrt(2))).
-2*sqrt(19)/5
Simplify 3 + 6*(sqrt(175) + (sqrt(175) + sqrt(175) + -3 + sqrt(175))**2)*3*2.
-3060*sqrt(7) + 57027
Simplify ((-5 + (sqrt(891) + 0 + 2 - sqrt(891)) + sqrt(891) + (sqrt(891) - (sqrt(891)*-1 + sqrt(891)) - sqrt(891)) + -2)**2 + -3)*6.
-540*sqrt(11) + 5478
Simplify (sqrt(110)/(4*sqrt(2))*5)/(3*-5*sqrt(539)).
-sqrt(5)/84
Simplify -2 + -5 + 2 + 0 + sqrt(2057) + 0 + -5.
-10 + 11*sqrt(17)
Simplify ((-1*sqrt(100))/sqrt(5) - 6*(sqrt(40)/sqrt(2) + sqrt(20)))/(sqrt(80)/(sqrt(56)/(sqrt(42)/sqrt(6)))).
-13*sqrt(2)
Simplify (2*(sqrt(24)/(sqrt(2) - sqrt(2)*3))/(sqrt(54)/sqrt(729) - sqrt(6)))**2.
81/32
Simplify (-2*(sqrt(6) - (sqrt(42)*2)/sqrt(7)))/(sqrt(12)*-5 + sqrt(3) + sqrt(30)/(sqrt(10)*-2)).
-4*sqrt(2)/19
Simplify ((sqrt(1216) + (sqrt(1216) - 2*sqrt(1216)) + 4)**2 + -4 + 0 + sqrt(1216))*-4.
-32*sqrt(19) - 48
Simplify (sqrt(28)/sqrt(4))**2 + 1 + (2*sqrt(77))/sqrt(11) - sqrt(77)/(sqrt(55)/(sqrt(5)*2)).
8
Simplify (-3*((sqrt(3) - sqrt(6)/sqrt(2)) + 4 - -5*(3 + sqrt(3)))*1)**2.
1710*sqrt(3) + 3924
Simplify (sqrt(264)/(sqrt(8) - (sqrt(8) - sqrt(48)/(sqrt(48)/sqrt(8)))))/(sqrt(55)/(3*sqrt(5))*6).
sqrt(3)/2
Simplify ((2*sqrt(7) + 1)**2 - ((sqrt(560) + sqrt(35))/sqrt(5) + sqrt(7)) - (-5 + 2 + sqrt(1008))**2) + 4.
-984 + 70*sqrt(7)
Simplify sqrt(50)*-3 + 4 + -5*2*sqrt(2) + sqrt(16)/(sqrt(32)/sqrt(4) + sqrt(8)).
-49*sqrt(2)/2 + 4
Simplify (1*sqrt(60)*-4)/(sqrt(300) + (sqrt(300) - (sqrt(300) + 2*sqrt(300)) - sqrt(300)) - sqrt(300)) + -2.
-2 + 4*sqrt(5)/15
Simplify -6*(sqrt(72)/(sqrt(3) + sqrt(6)/sqrt(2)) + 1*sqrt(2400))/((sqrt(84) - sqrt(84)*-2)/sqrt(7)*-6).
7*sqrt(2)/2
Simplify 4 + -5*(-2 + 3*sqrt(539) + sqrt(539)).
-140*sqrt(11) + 14
Simplify -3 + (sqrt(5) - (1 + sqrt(500)))**2 + sqrt(5) + -5*(sqrt(5) + 2*sqrt(5)) + sqrt(5) + 0 + 1.
5*sqrt(5) + 404
Simplify ((sqrt(63)/sqrt(81) + sqrt(7))**2 + (2*sqrt(343))**2 + sqrt(567)*-1 + 2)*2.
-18*sqrt(7) + 24956/9
Simplify (5 + (sqrt(66) + sqrt(66) + sqrt(66)*2*-4)/(sqrt(150)*-6))**2.
2*sqrt(11) + 636/25
Simplify -1 + (6*2*sqrt(88) + sqrt(88))/(-6*sqrt(8)*-3).
-1 + 13*sqrt(11)/18
Simplify (5*(1*sqrt(108) - sqrt(108)))/(6*4*(sqrt(54) + sqrt(6))).
0
Simplify 4 + (sqrt(220) + (sqrt(220) + sqrt(220) + sqrt(220) + -1*(sqrt(220) - (sqrt(220)*1
|
{
"pile_set_name": "DM Mathematics"
}
|
) prime?
True
Let r(o) = 2*o + 2. Let n be r(3). Suppose 2*w = -2*w + n. Is w*18/(-4)*-1 composite?
True
Let g(a) be the third derivative of a**5/30 + a**4/8 - a**3/2 - a**2. Let y = 1 - -1. Is g(y) a composite number?
False
Suppose 35 = -z + 444. Is z a prime number?
True
Is (-14)/(-7)*298/4 a composite number?
False
Is (4 + -1 - -1210)/1 composite?
False
Let k(b) = 13*b**2 + 6*b - 2. Let i be k(-3). Let o(h) = 2*h**2 + 4*h - 8. Let u be o(-6). Let y = i - u. Is y a composite number?
True
Suppose 7*h - 10 = 2*h. Let j be (0 - -1)*20/h. Is ((-78)/j)/(1/(-5)) a prime number?
False
Let m = 5 - 2. Let u be -1 + (-5 - (-3 + m)). Let z(t) = -t**2 - 8*t - 5. Is z(u) composite?
False
Let z(y) = -3*y**2 + 4*y**2 - 5 - 2*y**2 + 7*y. Let h be z(5). Suppose 3*x + x = 5*n - 167, 0 = h*x - 10. Is n prime?
False
Let m = 16 - -7. Is m composite?
False
Let l(r) = -5*r - 3. Let f be l(-2). Let m(u) = -u + 12. Let z be m(f). Suppose 2*g - 141 = -k - 41, -z*g + 243 = -k. Is g a composite number?
True
Let q = -400 + 1217. Suppose 2*d - 4*n = 92 + 710, 2*d + n = q. Is d a prime number?
False
Let g(z) = z - 15. Let w = -10 - -18. Let l be g(w). Let o(c) = -7*c + 8. Is o(l) composite?
True
Let r(w) = w**3 + 23*w**2 - 24*w - 19. Is r(-23) prime?
False
Let c be (-6)/(4/(-4))*-10. Let h = c + 106. Is h a prime number?
False
Let h = 177 - -46. Is h composite?
False
Suppose -w + 0*a = -2*a - 1969, 5912 = 3*w - 5*a. Is w prime?
True
Let a = -5 - -8. Suppose a*z = 60 + 207. Is z a prime number?
True
Let t(f) be the first derivative of f**4/4 + f**3/3 + 5*f - 3. Let b be t(0). Suppose 0 = -y - 3*y - b*u + 222, -y + 54 = 2*u. Is y composite?
True
Let q = 31 - -92. Is q a prime number?
False
Suppose 0 = -3*d + 1095 + 960. Is d a composite number?
True
Let x = 3 + 1. Let i(n) = n**3 - 4*n**2 - 4. Let p be i(x). Let d(g) = g**2 - g + 1. Is d(p) prime?
False
Suppose 10*m - 42 = 5*m + b, 4*b + 33 = 5*m. Let l(y) = -4*y**2 - 1 - 6*y**2 + 9*y + 4*y + y**3. Is l(m) a prime number?
False
Suppose -4*m - 5*y + 1965 = -1291, -5*m - 3*y = -4057. Is m a prime number?
True
Suppose 0 = d - 5*b - 19, b = -3*d + 5*b + 35. Let r be (-4)/(-6) - (-660)/d. Is (-3 - 3)/((-4)/r) a composite number?
True
Suppose 20 = 4*w + w. Suppose -306 = -w*b - 4*d + 5*d, -79 = -b - d. Is b a prime number?
False
Let q = 21 - 10. Is (-3207)/(-33) - 2/q a prime number?
True
Let g(h) = -5*h**3 + 0*h**3 - h**2 + 3*h**3 + 2*h + 3*h**3 + 3. Is g(5) prime?
True
Let l(j) = -41*j - 26. Let z(g) = 21*g + 13. Let d(v) = 6*l(v) + 13*z(v). Is d(12) a prime number?
True
Let m = -661 + 1423. Suppose 0*t - 2*t = -m. Is t a composite number?
True
Let x(n) = -123*n - 4. Is x(-3) a prime number?
False
Let s(j) be the first derivative of 1/2*j**2 + 2 + 11*j. Is s(8) a prime number?
True
Let b(h) = 34*h + 13. Is b(4) prime?
True
Let l(y) = 18*y - 31. Is l(18) a composite number?
False
Suppose 2 + 8 = -2*j + 2*v, -j - 3*v + 7 = 0. Suppose 0*f + 2 = -2*f. Is (15 - (-1 + f)) + j prime?
False
Suppose -748 = -4*n - o - 3*o, 184 = n + 2*o. Let g be (-4 - (4 + -16)) + -3. Suppose -3*c - n = 2*s - 503, -s = -g*c - 124. Is s a prime number?
True
Let u = -126 - -200. Let z = -3 + 7. Suppose z*m = 2*m + u. Is m composite?
False
Let h be (-6)/(-15) + 462/(-5). Let m(z) = -25*z + 4. Let c be m(-7). Let n = c + h. Is n a prime number?
False
Let r(a) = 9*a - 28. Let m(u) = -5*u + 14. Let w(p) = -7*m(p) - 4*r(p). Let k = -10 - -17. Is w(k) a prime number?
True
Let q be (16/(-20))/(4/(-10)). Suppose -2*p = q*p - 396. Suppose -2*k - p = -5*k. Is k a composite number?
True
Is (-1)/((-2)/314) - -4 composite?
True
Is (83/1)/((-6)/(-30)) composite?
True
Let g(u) = -u**3 - 6*u**2 + 8*u + 10. Let f be g(-7). Suppose 4*t + b - 17 = 0, 0 = f*t - 2*t - 4*b. Let k(i) = 6*i - 5. Is k(t) prime?
True
Let s = -509 + 168. Let b = s - -700. Is b composite?
False
Suppose 4*j = 5*n + 30, 3*j + 13 = 4*j - 4*n. Suppose 4*c = j*c. Suppose z + 0*z + 4 = c, -103 = -5*l + 2*z. Is l a prime number?
True
Suppose 0 = -4*h - 4*w + 112, 53 + 35 = 4*h - 2*w. Let b = -2 + h. Is b composite?
True
Is (-6)/(-27) + 1/((-36)/(-6364)) a prime number?
False
Let v(h) = -73*h + 14. Let p be v(-6). Let q = 257 + p. Is q a composite number?
False
Suppose -6021 = y - 10*y. Is y a composite number?
True
Let o be 1 + (-1 - 2/1). Let p be 41 - (o + (-3)/(-3)). Suppose -5 = -t + p. Is t a composite number?
False
Let i(z) = -37*z**3 + z**2 - 1. Is i(-1) a prime number?
True
Let d(w) = -2*w - 5*w + 5 + w - 3*w. Is d(-6) a prime number?
True
Let o(s) = -9*s**3 + 2*s**2 - s + 1. Let l be o(-2). Suppose -3*w + 24 = -b - l, 3*b = 12. Is w a composite number?
False
Let w(h) = h**3 - 2*h**2 + 8*h - 1. Let f be w(7). Let n = -173 + f. Is n a prime number?
True
Suppose -4*g + 10 = -4*m - 2, m = -2*g + 6. Let a be m + (-53 - 2) - -2. Is (-3)/(-3)*a/(-1) a prime number?
True
Is 193 - 4*(20/8)/5 composite?
False
Is 4/(-1) + 8910/10 prime?
True
Let c = -11 + 15. Suppose -o = 2*a - 79, 4*o + c*a = 77 + 235. Is o composite?
True
Suppose -8*m = -6*m - 1222. Is m composite?
True
Let u(v) = -v - 2. Let h be u(-2). Let w(l) = -l**2 + 53. Is w(h) composite?
False
Is 24/(-42)*(-1414)/4 prime?
False
Let j(y) = -2*y + 10. Let z be (33/3 - -3)/2. Let p be j(z). Let d(w) = -7*w - 6. Is d(p) a composite number?
True
Let x be (15/6 - 1)*2. Suppose 0 = 2*z - x - 3. Is z a prime number?
True
Suppose -2*m + 601 = -h, 626 = 4*m - 4*h - 566. Is m prime?
False
Is -6 - -7 - 6*-53 prime?
False
Let s(m) = 2*m + 2 - 5 - 3*m**2 + 4*m**2. Is s(-6) a prime number?
False
Suppose 4*x + 8 = 0, -5*x - 113 = 3*d + 20. Let k = 226 + d. Is k a prime number?
False
Is 4 - (0 + (-2 - 797)) a prime number?
False
Let v be 2/(-2)*6/1. Is (-690)/(-9) - 2/v a composite number?
True
Suppose 0 = -z - 4*z + 1905. Suppose 5*t - z = -2*o, -3*t + 263 = -5*o + 22. Is t composite?
True
Let j(s) be the third derivative of 15*s**4/8 + 5*s**3/6 + s**2. Is j(4) prime?
False
Suppose 0 = -2*m + 81 + 103. Suppose 0 = -p + 297 - m. Is p composite?
True
Suppose -3*j = -3*y, 6*j - j - 9 = 2*y. Suppose -y*n + 39 = -3*g, 6*g - 2*g = -3*n + 18. Let b = n + 3. Is b composite?
False
Suppose -4*x - 645 = -x. Let d = -148 - x. Is d prime?
True
Let w(b) = b**3 + 7*b**2 - 8*b + 3. Let d be w(-8). Suppose 0 = -d*q + 7 + 11. Is q a prime number?
False
Suppose 726 = -0*h + h - l, 0 = -5*h + l + 3622. Suppose 0*j - 905 = -5*n - 2*j, -3*j = 4*n - h. Is n a prime number?
True
Let i(v) = 2*v. Let n be i(0). Suppose n = k - 3*k + 38. Is k composite?
False
Suppose -2*z - 2*z + 1635 = 5*g, 1308 = 4*g + 2*z. Suppose -4*b = -f - g + 6, -5*b = 2*f - 385. Is b a composite number?
False
Let l(j) = j**3 + 10*j**2 + 8*j - 7. Let p be l(-8). Let q = p + -27. Let r = q + -16. Is r a prime number?
False
Suppose 0 = -4*p - 29 + 177. Is p a prime number?
True
Suppose -4*j - d + 3*d + 876 = 0, -2*j + 454 = 3*d. Is j prime?
False
Suppose 348 = 2*m - 82. Is m composite?
True
Let h = 1 - 9. Let y(d) = -d**3 - 8*d**2 + 4. Let g be y(h). Suppose 99 = g*f + q - 118, -4*f + q + 223 = 0. Is f a prime number?
False
Suppose 0 = 3*n + p - 4*p - 2886, 0 = -n + 3*p + 952. Is n composite?
False
Is 5 + 3045 + 1 - -2 a composite number?
True
Suppose 24530 = -5*x + 15*x. Is x composite?
True
Let t = -493 + 824. Is t a composite number?
False
Let g(x) = 3*x**2 + 4*x + 4. Is g(7) composite?
False
Suppose 2*x = -0*x. Let w be -1*(x - -2) - 77. Is 2/((2/w)/(-1)) composite?
False
Suppose a - 5*z - 22 - 7 = 0, -3*a = 3*z - 51. Is a a composite number?
False
Let q = -66 + 335. Is q composite?
False
Is 3/(-12) - (6036/16)/(-1) a composite number?
True
Suppose 5*u + 3*s = -s - 12, -5*s = 3*u + 15. Let r(x) = x**3 - x**2 - x + 5. Let m be r(0). Suppose u*i + 185 = m*i. Is i prime?
True
Let s = 0 - -2. Suppose 0 = 6*h - s*h + k + 121, -77 = 2*h - 5*k. Let z = h - -74. Is z a prime number?
True
Let r be (-4)/(-1)*(-9)/(-12). Suppose r*a - 4*a = -97. Is a composite?
False
Suppose 2*b + 2*v + 389 = 5*v, -379 = 2*b - v. Let r = b - -282. Is r a composite number?
True
Suppose m = -4*m + 700. Let w(t) = 4*t**2 + 7*t - 8. Let d be w(7). Let u = d - m. Is u prime?
True
Suppose 3*c + 432 = 3*y, -3*c + 53 = -y + 187. Is y a prime number?
True
Let a = 1992 + 185. Is a a composite number?
True
Suppose -267 = -29*a + 26*a. Is a a prime
|
{
"pile_set_name": "DM Mathematics"
}
|
z**2 + 51*z**2 - 389*z**2 + (-6*z**2 + 0*z**2 + 4*z**2)*((-2 - 1 + 4)*(-2 + 1 + 0) + 3 - 3 - 2 - 5 + 2 + 1).
-429*z**2
Expand (-s + 3*s - s)*(-1 - 4 + 3) - 1968*s + 444*s - 1650*s.
-3176*s
Expand ((2 - 2 + 1)*(-1 + 1 + 1) - 232 + 576 - 279 + (5 - 2 - 2)*(3 + 5 - 5) + 3 + 2 - 3)*(36 - 5*j - 36 + (-1 + 1 - j)*(4 + 0 - 6)).
-213*j
Expand (-1065 + 302 - 3237)*((0 - 2*y + 0)*(-2*y**2 - y - 3 + 3) + 0*y - 2*y**3 + 0*y).
-8000*y**3 - 8000*y**2
Expand -3 - 2*f + 3 - 2 + 2 + f + (-1 - 3 + 2)*(f + f - f) - f + 0*f + 3*f + (-1 + 1 - 2)*(-60*f + 23*f - 15*f).
103*f
Expand (21 + 4 + 13)*(-g**3 - g**3 - g**3) - 69 + 69 + 2*g**3.
-112*g**3
Expand (-24*s - 25*s + 66*s - 534 - 15*s)*(21 - 21 + 12*s).
24*s**2 - 6408*s
Expand (-5*d**2 + d**2 + 3*d**2)*(-2 + d**2 - 2*d + 2*d) + (d**2 - 8*d**2 - d**2)*(33*d + 7*d - 16*d)*(2*d - 3*d - 3*d).
767*d**4 + 2*d**2
Expand (-36*b**2 + 61*b**2 - 49*b**2)*(-12 + 39 - 73)*(-b**2 - 3*b**2 + 6*b**2).
2208*b**4
Expand -5*b**2 - b**3 + 5*b**2 + (0 + 3 - 2)*(2 - 3*b**3 - 2) + 3*b**3 - b**3 + 0*b**3 + 2*b**3 + 2*b**3 - 5*b**3 + b**3 - 2*b**3 - 2*b**3 + 4*b.
-6*b**3 + 4*b
Expand (-q + 212 - 2*q - 257)*(1 - 1 + 2)*(1 - 3 + 0).
12*q + 180
Expand (4 - 4 + 1 + (5 + 0 - 3)*(-1 - 3 + 2))*(10*d - 18*d - 6*d) + d - 1 + 1 + (2 - 2 + 2*d)*(-5 + 5 + 1) - 2 + 0 + 0 - d.
44*d - 2
Expand (352*u - 317*u - 299*u)*(-3 + 4 + 0 + (0 + 2 - 3)*(2 - 1 - 2) - 6 + 0 - 2).
1584*u
Expand -v**2 + 0 + 0 + (3 - 3 - v)*(2*v + v - v) - 196*v + 196*v + 187*v**2.
184*v**2
Expand (-1 + 10*f + 15*f - 3*f)*(29 - 85 - 120).
-3872*f + 176
Expand (6 - 2 - 2)*(2*u - 2*u - u) + 4*u - u - 4*u + 1 - 27*u - 41*u + 60*u.
-11*u + 1
Expand ((-3 + 2 - 1)*(v + 0*v + 0*v) + 0*v + 2*v - 3*v - v + v + 2*v + 2*v - v - 3*v)*(7*v + 187 - 25*v + 19*v).
-3*v**2 - 561*v
Expand 0*u**3 + u - 3*u**3 + 5*u**3 + (2*u + 2*u**2 - 2*u)*(-15*u + 3*u + 13*u).
4*u**3 + u
Expand (0 + 0 - 4)*(-3 + 1 + 1)*(4240*o**2 - 4288*o**2 + 3*o - 5*o).
-192*o**2 - 8*o
Expand ((-13*y + 9*y - 4*y)*(3*y**2 + y**2 - y**2) + (1 + 0 - 2)*(y**3 + 0*y**3 - 3*y**3))*(y - 2*y - 4*y)*(y - y + y).
110*y**5
Expand (-3 - 1 + 2)*(-14 - 121 - 28)*(2*r + 8*r**2 - 2*r + 0*r**2 + 0*r**2 - 3*r**2 + (-3*r - 2*r + 4*r)*(0 + 2*r + 0)).
978*r**2
Expand (86 + 2*p**2 - 89 - 5*p**2)*(1010 - 1010 + 29*p) - 4 + 4 + 2*p**3.
-85*p**3 - 87*p
Expand (-b**3 + 0*b**3 - 1 + 3)*(-5305 + 38921 + 7811 + 1898 + 18824).
-62149*b**3 + 124298
Expand -1 + 1 + 3*u**3 + (-10884 + 10884 - 67*u**2)*(0*u + u - 2*u) - 4*u**3 + 3*u**3 - 4*u**3.
65*u**3
Expand (1830 - 1830 + 227*a)*(-11*a**3 + 4*a**2 - 4*a**2 + 1 - a**3 - 1 + (0 + 2*a + 0)*(0*a**2 + a**2 - 2*a**2)).
-3178*a**4
Expand 26*v**3 + 14*v**3 - 9*v**3 + (-3 + 2 - 2)*(-6*v**3 + v**3 + 2*v**3) + 0 - 3*v**3 + 0.
37*v**3
Expand -2*a**2 + 4*a - 4*a + (4*a - 5*a + 3*a)*(1 - 1 - 2*a) + 5*a**2 - 3*a**2 + 25*a**2 + (0*a - 3*a**2 + 0*a)*(4 + 1 - 3).
15*a**2
Expand (2*q + q - 2*q + (-4 + 1 + 1)*(-q + 0*q - q) + q - 3*q + 3*q + 5*q - q - 2*q + q - 5*q - q)*(5001 + 4397 - 8435).
2889*q
Expand -9 - 36*h + 9 + (-31 + 40 + 43)*(-h - 2*h + 4*h) - 7*h + 3*h + 3*h + h - 4*h + h - h + 4 - 4 + (-h - h + 3*h)*(-1 + 0 - 1) + 3*h - 3*h + h - 2 + 2 + 2*h.
13*h
Expand 164*b**3 + 43*b**3 + 595*b**3 + (-2*b**3 + 0*b**3 + b**3)*(2 + 0 - 4) + 2 - 4*b**3 + 3*b**3 + 3*b**3.
806*b**3 + 2
Expand (7 - 1 - 2)*(2 - 2 + a)*(-1282 + 1148*a + 1282).
4592*a**2
Expand -2*m**2 - 1 + m**3 - 2*m**2 + 2*m**2 + 4*m**3 - m**3 - m**3 + (4*m**2 - m**2 - 4*m**2)*(6*m - 2*m - 2*m) - 67*m**3 + 9*m**3 - 70*m**3.
-127*m**3 - 2*m**2 - 1
Expand -g + 358*g**4 - g + g**2 - 354*g**4 - g**4 + 0*g**4 + 0*g**4 + (g**2 + g**3 - g**2)*(1 - g - 1).
2*g**4 + g**2 - 2*g
Expand (25*c + 17*c - 43*c)*(3 - 2 - 3).
2*c
Expand -2*w**5 + 0*w**4 + 0*w**4 + (0*w**2 - 2*w**2 + 3*w**2)*(-103*w**3 + 285*w**3 - 57*w**3).
123*w**5
Expand (-3*s + 5*s + 2*s)*(74 + 454*s**4 + 113 - 451*s**4).
12*s**5 + 748*s
Expand (-7646*n**4 - 183830*n + 183830*n)*(-3 + 2 - 1)*(1 - 1 + 1).
15292*n**4
Expand (-4*a + 8*a - 3*a)*(82*a**3 - 64*a**3 - 172*a**3).
-154*a**4
Expand (3*b**2 - 239 + 9*b**2 + 238)*(-b - 2*b + 2*b) + (-b - b + b)*(-11*b**2 + 968 - 968).
-b**3 + b
Expand ((1 - 2 + 0)*(5 + 1 - 4) - 1 - 1 + 6 + (-3 + 0 + 4)*(2 + 0 - 1) + 0 + 0 - 1)*(-70*u - 929 + 929)*(-u**4 - 3*u**4 - u**4)*(-2 + 2 + 1).
700*u**5
Expand (-r**2 - 5 + 5 + (0*r + r - 3*r)*(-r + r - 2*r) - 5*r**2 + 3*r**2 + r**2 + 0*r**2 - 2*r**2 - 3*r**2 - 11*r + 10*r**2 + 11*r)*(-10 + 5 - 9)*(4 - 1 + 0).
-294*r**2
Expand 3*d - 19*d - 9*d + (0 + 3 - 4)*(3*d + 4*d - 6*d) + 2 - 2 + 2*d + d - 5*d + 6*d + 2*d - 2 + 2 - 280*d + 9*d + 80*d.
-211*d
Expand (-2*n**3 - 3*n**2 + 3*n**2)*(-1378*n + 4729*n + 1746*n + 143*n).
-10480*n**4
Expand (928*c - 520*c + 118*c - 2*c**2)*(0*c**2 + 3*c**2 - 2*c**2)*(-4*c + 0*c + 3*c)*(-5 + 2 + 4).
2*c**5 - 526*c**4
Expand (1678*a - 4558*a + 1526*a - 4730*a)*((4 + 2 - 4)*(4 - 1 - 4) + 0 + 0 - 1).
18252*a
Expand (17*x + 12*x - 33*x)*(x**2 + 2*x**2 - 2*x**2 - 1)*(-2 + 1 + 0 - 4 + 5 - 8 - 3 + 5 - 1 + (-3 + 4 - 3)*(0 - 2 + 1)).
20*x**3 - 20*x
Expand 430 - 430 + 2*m**2 + 25*m + (4*m + m - 4*m)*(2*m + 5*m + 6*m) + (2*m + 0*m + 0*m)*(-m - 3 + 3).
13*m**2 + 25*m
Expand (-1 + 1 - 2*m**2)*(-3*m**2 - m**2 + m**2) - 3*m**4 - 2*m**4 - 10*m**4 + (-2*m**2 + 2 - 2)*(-3*m**2 + 3*m**2 + 2*m**2) - 16*m**4 + 175*m**2 - 175*m**2.
-29*m**4
Expand (193*i - 501 + 501)*(2*i - i - 2*i) - i**2 + i**2 + 2*i**2.
-191*i**2
Expand (c**2 + c**2 + 0*c**2)*(2*c**3 + 0*c**3 - 3*c**3) + (-2*c**2 - 41*c**2 - 5*c**2)*(21*c - 21*c + c**3).
-50*c**5
Expand 11*d**4 + 5*d**4 + 3*d**4 + (5*d - 4*d - 2*d)*(-13*d**3 - 17*d**3 + 5*d**3).
44*d**4
Expand (-27 - 407*t**2 + 29 + 1514*t**2)*(-t**2 - t**2 + 0*t**2).
-2214*t**4 - 4*t**2
Expand (-3*y + 5*y + 2*y)*(-242 + 476 - 244 - 12*y) + 0*y**2 + 0*y**2 + 2*y**2.
-46*y**2 - 40*y
Expand (3 - w - 3)*(16 - 11 - 13)*(-92 - 83*w + 92)*(-1 + 2 + 0).
-664*w**2
Expand (1195*p - 771921 + 771921)*(-2*p - p**3 + 2*p) + 0*p**4 + 0*p**4 - 2*p**4 + (-p + 4 - 4)*(-p**3 + 0*p**3 + 2*p**3).
-1198*p**4
Expand (-3*w**2 - 3*w**2 + 5*w**2)*(2957*w - 801*w + 1963*w).
-4119*w**3
Expand -20392*v - 12350*v - 4359*v - 12*v - 34267*v + (-v + 0*v + 2*v)*(4 + 0 - 2).
-71378*v
Expand (-349 + 423 - 343)*(14*o + 0*o + 14*o).
-7532*o
Expand (-131*v**2 + 131*v**2 + 36*v**3)*(14*v - v**2 - 14*v) + 2 - 2*v**5 - 2.
-38*v**5
Expand (-82 - 19 - 33)*(6 + 2 - 10 - l).
134*l + 268
Expand 4*r**2 - 6*r**2 + 4 + 0*r**2 + 2*r**2 + 0*r**2 - 3*r**2 + (-1 + 4 + 1)*(-2 + 3*r**2 + 2) + 2*r + 2*r**2 - 2*r.
11*r**2 + 4
Expand (-1 - 3 + 8)*(0*u + 0*u + u)*((-u - 2*u**2 + u)*(-2 - 2*u + 2) - 28*u**3 + 40*u**3 + 11 + 13*u**3).
116*u**4 + 44*u
Expand (-77*v**2 - 397*v**3 + 171*v**3 + 210*v**3)*(-3*v + 2*v + 3*v).
-32*v**4 - 154*v**3
Expand -533*h - 189*h - 745*h + (0 + 1 + 2)*(3*h + 2*h - h).
-1455*h
Expand (-88 + 301 - 501 + (-2 + 1 + 3)*(-1 + 3 - 4))*(-2*d**5 + 0*d**5 + d**5 - 1).
292*d**5 + 292
Expand (6*g - g - 2*g)*(2*g - 2*g + 1927*g**2 + 4962*g**2 + 8582*g**2).
46413*g**3
Expand (-65 - 288 - 253)*(m**2 + 0 + 0 + (0 + 0 + 2*m)*(3*m + 3*m - 5*m) - 4*m**2 + 8*m**2 + 0*m**2).
-4242*m**2
Expand (-14 + 14 - 29)*((-3 + 2 + 3)*(-4*o - 19 + 19) - 2*o - 3*o + 25*o).
-348*o
Expand (s**4 - s**5 - s**4)*(-1 - 1 + 1) - s + s + 2*s**5 + (-5*s**2 + 3*s**2 - s**2)*(314*s**3 - 202 + 202).
-939*s**5
Expand (-5 + 2*w - 2 - 4*w)*(159*w + 307*w + 893*w - 276*w).
-2166*w**2 - 7581*w
Expand (-2*a - 1 + 1)*(24*a**3 + 7*a**3 - 12*a**3) - 3*a**4 + 5*a**4 + 2*a**4.
-34*a**4
Expand (f - 3*f + 0*f)*(2 - 2 - 1)*(-4 + 1 + 2)*(-4 - 19 + 11)*(-3 + 0 + 2).
-24*f
Expand (-1191 + 2872 - 1037)*(-5*k + 0*k + k)*(-1 + 2 - 2).
2576*k
Expand (-3 + 3 - 1)*(0*t - 6*t + 3*t) - 2*t - 1 + 1 - 6*t + 29*t - 3*t + (-2 - 3 + 4)*(-t - 3*t + 3*t) + 0*t - 10*t + 2*t.
14*t
Expand 5*o + 0*o - 3*o + (o + o - 5*o)*(-5 + 3 + 1) + 1 - 1 + 3*o + o + 0 + 0 - 232 - 2*o - 206 + 401.
7*o - 37
Expand -375*t**4 + 819*t**2 - 887*t**2 + 759*t**4 - 364*t**4 + (-t**3 + t**3 + 2*t**3)*(-3*t + 0*t + 2*t) + t**4 - 4 + 4.
19*t**4 - 68*t**2
Expand (0 + 0 - q)*(0 - 4 + 1 - 5 - 2 + 5 + (-2 + 1 + 2)*(0 + 0 + 1) + 0 - 2 + 3 + 1 - 2 + 2 + (1 + 2 + 4)*(-2 - 1 - 2)).
37*q
Expand ((-p**2 - p**2 + p**2)*(-2*p**2 + p**2 + 3*p**2) + (-p**3 - 5*p + 5*p)*(3*p - p - 4*p) + 2*p**4 - 4*p**4 + p**4 + 261 + 14*p**4 - 261)*(-p + 0*p - 4*p).
-65*p**5
E
|
{
"pile_set_name": "DM Mathematics"
}
|
2*n**2 - 4410*n + 515988. Calculate j(124).
-100
Let k(d) = 2*d**2 - 198865*d + 1193129. Determine k(6).
11
Let c(p) = 3179*p + 1020702. What is c(-321)?
243
Let m(q) = -166116*q + 6976876. What is m(42)?
4
Let c(n) = -46*n + 690. Determine c(-17).
1472
Let g(w) = 102*w**2 + 3170*w - 3004. Determine g(-32).
4
Let z(x) = -12*x**3 - 104*x**2 + 35*x - 20. Give z(-9).
-11
Let a(s) = 14563*s + 43812. Determine a(-3).
123
Let y(o) = -o**3 - 2*o**2 + 4284*o + 29947. Give y(-7).
204
Let i(g) = -20085*g - 385. Give i(0).
-385
Let a(g) = -2*g**2 - 4488*g - 40214. Calculate a(-9).
16
Let z(w) = -w**3 - 23*w**2 - 50*w - 116. Determine z(-18).
-836
Let c(o) = -385*o**2 - 15788*o + 8. Give c(-41).
131
Let l(d) = 7524*d - 165571. What is l(22)?
-43
Let r(j) = -247366*j - 13357773. Calculate r(-54).
-9
Let k(o) = -32*o**3 + 356*o**2 - 9*o - 397. What is k(11)?
-12
Let y(o) = -o**3 + 157*o**2 + 7412*o - 461. Give y(195).
-71
Let g(x) = 3*x**3 - x**2 - 115*x - 71. Calculate g(-7).
-344
Let h(f) = 2943*f - 120698. What is h(41)?
-35
Let d(m) = -6*m**2 + 4*m + 145. Determine d(-9).
-377
Let s(w) = 716*w - 1015. Give s(2).
417
Let s(r) = -16*r**3 + 94*r**2 - 442*r + 2746. Give s(6).
22
Let x(k) = -k**3 - 46*k**2 - 202*k + 1078. Determine x(-8).
262
Let n(q) = -3*q**3 + 6*q**2 - 1004*q + 3032. Determine n(3).
-7
Let d(c) = 72*c**2 - 408*c - 39. What is d(6)?
105
Let u(y) = -18*y**3 + 1131*y - 2279. Give u(2).
-161
Let f(b) = -6*b**2 + 892*b + 5859. Give f(155).
-31
Let w(a) = -a**3 + 22*a**2 + 80*a - 1301. What is w(25)?
-1176
Let w(t) = 2*t**2 + 13723*t + 314573. Determine w(-23).
2
Let i(o) = 89*o**3 - 4*o**2 + 121*o - 115. Calculate i(1).
91
Let u(o) = o**2 + 5977*o - 216497. Calculate u(36).
-29
Let h(t) = -3*t**2 - 25121*t + 276731. Calculate h(11).
37
Let j(s) = -2*s**3 - 85*s**2 - 610*s - 1. Determine j(-33).
-562
Let f(z) = z**2 + 74*z + 982. Calculate f(-33).
-371
Let y(w) = w**3 - 354*w**2 + 3949*w - 291162. What is y(345)?
18
Let m(i) = -11*i**2 + 21*i + 332. What is m(-5)?
-48
Let s(o) = 7*o**3 + 744*o**2 - 541*o - 681. Give s(-107).
-39
Let u(z) = -8*z**2 - 228*z - 1771. Determine u(-15).
-151
Let w(u) = -1502*u + 19561. Calculate w(13).
35
Let u(f) = -f**2 + 80*f - 1227. Determine u(18).
-111
Let f(m) = -m**2 - 345*m - 29471. What is f(-189)?
13
Let g(t) = -9*t**3 - 72*t**2 - 135*t - 63. Determine g(-1).
9
Let r(x) = 88*x**2 + 871*x - 20. Determine r(-10).
70
Let x(g) = -37*g**2 - 788*g + 7. What is x(-23)?
-1442
Let q(a) = -2*a**3 - 587*a**2 + 409*a + 33808. Determine q(-294).
-2
Let a(i) = 5973*i + 191121. What is a(-32)?
-15
Let z(v) = v**3 - 27*v**2 + 178*v - 299. What is z(13)?
-351
Let q(k) = k**3 - 2*k**2 + 1467*k - 4407. Give q(3).
3
Let t(n) = 2*n**3 - 16*n**2 + 17*n + 29. Calculate t(9).
344
Let a(u) = 2679*u - 74976. Give a(28).
36
Let v(q) = 12*q**2 + 73*q + 102. What is v(-2)?
4
Let m(v) = v**2 - 58383*v + 933860. Give m(16).
-12
Let c(s) = 270*s**2 + 322*s + 322. Determine c(-1).
270
Let q(o) = 9*o**2 + 466*o + 3062. Determine q(-8).
-90
Let b(y) = -2*y**3 + 87*y**2 - 282*y + 119. Calculate b(3).
2
Let m(y) = 10170*y - 488146. Determine m(48).
14
Let r(d) = -2*d**2 - 1972*d - 86472. Determine r(-46).
8
Let x(v) = -16*v - 2505. Determine x(-106).
-809
Let c(i) = 54*i**3 + 426*i**2 - 25*i + 175. Give c(-8).
-9
Let q(p) = -849*p + 97632. Determine q(115).
-3
Let a(j) = 176*j**3 + 1587*j**2 + 13*j - 2. What is a(-9)?
124
Let m(c) = -18078*c + 1410084. Give m(78).
0
Let g(q) = -475*q**3 + 3*q**2 + 7*q + 6. What is g(-1)?
477
Let l(q) = 51*q**2 + 4080*q - 69. Determine l(-80).
-69
Let a(b) = -159*b - 29399. Determine a(-189).
652
Let m(w) = -w**2 - 1332*w - 305817. Calculate m(-295).
98
Let c(k) = -3468*k - 55489. Calculate c(-16).
-1
Let j(o) = -222693*o - 10466585. Determine j(-47).
-14
Let v(j) = -j**2 + 17*j + 309. Determine v(-24).
-675
Let y(l) = l**3 + 314*l**2 - 1260*l + 3807. What is y(-318)?
-9
Let n(u) = -u**3 - 23*u**2 - 17*u - 283. Calculate n(-21).
-808
Let d(s) = 194*s + 15856. What is d(-81)?
142
Let o(q) = 3*q**2 + 298*q - 4031. Calculate o(12).
-23
Let j(a) = 4*a**2 - 245*a + 1686. What is j(53)?
-63
Let f(s) = -582*s + 56254. Determine f(93).
2128
Let m(a) = 21*a**2 - 118*a - 1090. Determine m(-8).
1198
Let l(g) = g**3 - 17*g**2 + 2660*g - 33896. What is l(13)?
8
Let r(t) = 7*t**3 - 397*t**2 - 97*t - 1025. Calculate r(57).
-56
Let v(r) = 2*r**3 + 8*r**2 + 77*r - 125. Determine v(-7).
-958
Let x(n) = 46*n**2 + 6984*n - 14013. What is x(2)?
139
Let t(x) = 188*x**2 + 952*x + 31. Determine t(-5).
-29
Let t(r) = -r**2 - 3151*r - 239684. Give t(-78).
10
Let n(y) = 16*y**2 - 157*y + 500. Calculate n(3).
173
Let z(y) = -227*y + 30406. What is z(134)?
-12
Let q(f) = -18*f**3 - 593*f**2 - 27*f + 97. Determine q(-33).
2077
Let h(x) = 37*x**3 + 5028*x**2 - 481*x + 8568. Give h(-136).
0
Let b(v) = -4*v**3 - 113*v**2 + 879*v + 20074. Give b(-30).
4
Let s(p) = -343*p + 81903. Give s(241).
-760
Let q(y) = -y**3 - 51*y**2 - 148*y + 257. Give q(-4).
97
Let s(q) = -6*q**3 + 243*q**2 + 603*q - 29076. Determine s(40).
-156
Let y(i) = -112*i - 2863. Calculate y(-29).
385
Let x(r) = -r**3 - 4*r**2 - 26*r - 57. What is x(-5)?
98
Let z(j) = j**3 - 14*j**2 + 601*j - 6313. Determine z(11).
-65
Let w(y) = 63*y**2 - 2587*y + 58. Calculate w(41).
-106
Let s(r) = 706430*r - 2119239. Determine s(3).
51
Let d(c) = -3*c**3 + 307*c**2 - 4238*c + 2057. What is d(86)?
-7
Let v(h) = h**3 - 40*h**2 - 74*h + 625. Calculate v(41).
-728
Let c(s) = 107*s**2 + 9396*s - 218. Calculate c(-88).
1542
Let s(p) = -p**2 + 4276*p + 451042. Calculate s(-103).
5
Let u(s) = -4*s**3 + 38*s**2 + 225*s - 128. Give u(-7).
1531
Let v(z) = -10*z**2 - 4604*z - 114510. Give v(-434).
66
Let u(d) = -36*d**3 - 286*d**2 - 281*d - 310. Determine u(-7).
-9
Let j(f) = 53*f**3 + 336*f**2 + 8*f - 2. What is j(-6)?
598
Let i(y) = -31*y**2 + 46*y - 127. Calculate i(3).
-268
Let w(a) = 3*a**3 + 390*a**2 + 7*a + 898. Determine w(-130).
-12
Let y(h) = h**3 + 32*h**2 - 405*h - 158. What is y(10)?
-8
Let q(o) = 4810*o - 37450. Determine q(9).
5840
Let k(l) = -l**3 - 189*l**2 - 268*l + 19814. What is k(-187)?
-8
Let m(b) = -1088*b**2 + 14140*b + 53. What is m(13)?
1
Let c(d) = -39*d**2 + 8315*d + 6644. What is c(214)?
10
Let r(v) = -29866*v + 119557. Give r(4).
93
Let f(g) = 15353*g - 122968. Calculate f(8).
-144
Let x(o) = -9234*o + 47479. Give x(5).
1309
Let d(q) = -26897*q - 699323. What is d(-26)?
-1
Let q(u) = -22*u**2 + 801*u - 305. Give q(36).
19
Let u(a) = 47*a**2 + 46*a - 76. Calculate u(2).
204
Let v(q) = q**2 - 366*q - 520140. Give v(927).
-93
Let b(a) = 143*a**2 - 441*a - 1381. Determine b(5).
-11
Let c(t) = 627*t + 319. Determine c(-3).
-1562
Let u(r) = 31865*r - 446111. Give u(14).
-1
Let o(q) = -13334038*q + 106672300. Calculate o(8).
-4
Let f(k) = 20*k**2 - 1181*k - 159. Calculate f(0).
-159
Let z(y) = y**3 - 697*y**2 - 1330*y + 441145. What is z(698)?
9
Let t(z) = 2*z**3 + 50*z**2 + 1058*z + 26434. Give t(-25).
-16
Let r(y) = -252*y**2 + 24927*y + 2089. Determine r(99).
10
Let i(r) = r**2 + 11*r - 1619. Calculate i(-91).
5661
Let c(z) = 321*z**2 + 13042*z + 13042. Give c(-1).
321
Let n(v) = -2460*v**2 - 1293962*v - 1051. Determine n(-526).
1
Let o(f) = 459*f - 8334. Calculate o(18).
-72
Let i(z) = z**3 + 27*z**2 - 1544*z - 227. Determine i(-55).
-7
Let q(f) = 2*f**3 - 61*f**2 - 412*f - 71. Determine q(37).
2482
Let j(v) = -2*v**3 + 2633*v**2 - 23537*v + 17. Calculate j(9).
-1
Let b(q) = -1366*q**2 - 46440*q + 129. Give b(-34).
-7
Let q(a) = -13608*a - 176902. Calculate q(-13).
2
Let g(q) = -q**3 - 10*q**2 + 200*q - 348. Determine g(2).
4
Let p(h) = 5773*h - 11247. Determine p(2).
299
Let k(y) = -5*y**3 - 341*y - 1731. Give k(-5).
599
Let h(c) = -28675*c + 172080. Calculate h(6).
30
Let y(b) = -4*b**2 - 109*b + 1451. Give y(14).
-859
Let f(p) = 47487*p + 284919. Calculate f(-6).
-3
Let g(d) = 2048*d + 337937. Determine g(-165).
17
Let h(c) = 31674*c + 190054. Give h(-6).
10
Let c(z) = z**3 + 84*z**2 + 936*z + 39. Give c(-13).
-130
Let i(a) = -a**2 + 1397*a + 12626. Calculate i(-9).
-28
Let p(y) = -2*y**3 - 159*y**2 - 2451*y + 2487. Determine p(-58).
-7
Let x(p) = -523*p + 131155. Give x(251).
-118
Let x(s) = 17250*s + 327738. Determine x(-19).
-12
Let z(u) = u**3 - 876*u**2 + 205*u
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let o(w) = w**2 + 2*w - 4. Determine s*g(n) - o(n).
-n**2 - 2*n
Let r(m) = 2. Let z(k) = -13. Let g(f) = 6*r(f) + z(f). Let j(u) = 4*u**2 - 7. Let d(y) = 9*y**2 - 15. Let l(o) = -6*d(o) + 13*j(o). What is 3*g(a) - l(a)?
2*a**2 - 2
Let i(n) = -n + 2. Let h(j) = -10*j + 21. Calculate 4*h(t) - 36*i(t).
-4*t + 12
Let m(c) = 9 + 0*c - 5 - 5 + 3*c. Let y(d) = 13*d - 4. Give 9*m(i) - 2*y(i).
i - 1
Let y(c) = c**2 - 2*c - 1. Let p(o) = o**3 + 107*o**2 + 6*o + 3. Calculate p(d) + 3*y(d).
d**3 + 110*d**2
Let o(d) = 2*d - 4. Suppose -6*u - 159 + 183 = 0. Let m(k) = 3*k - 5. What is u*o(n) - 3*m(n)?
-n - 1
Let l be 65/(-52) + (-75)/20. Let a(y) = 3*y**3 + 7*y. Let r(g) = 2*g**3 + 6*g. Determine l*a(q) + 6*r(q).
-3*q**3 + q
Let k(a) = 9*a**2 - 25*a + 12. Let c(q) = -4*q**2 + 12*q - 5. Determine 5*c(o) + 2*k(o).
-2*o**2 + 10*o - 1
Let h(c) = 2. Let t(p) = 9 - 8 - 2. Let n(a) = -4*h(a) - 7*t(a). Let s(z) = -2*z**2 - 10. Calculate -10*n(q) + s(q).
-2*q**2
Let t(d) = 12*d**3 - 4*d**2 - 3. Let g(v) = 13*v**3 - 4*v**2 - 4. Give -4*g(z) + 5*t(z).
8*z**3 - 4*z**2 + 1
Let k(r) = 1520*r + 32. Let c(w) = 138*w + 3. Give 32*c(d) - 3*k(d).
-144*d
Let g(d) = -6*d + 0*d + 2*d + 5*d - 1 + d**2. Let s(a) = 3*a**2 + 8*a - 6. Suppose -2*u = -2*b + 6, -3*b - 5*u - 25 = 2*b. What is b*s(x) + 5*g(x)?
2*x**2 - 3*x + 1
Let a(n) be the second derivative of 3*n + 0 + 1/2*n**4 + 7/3*n**3 + 4*n**2 + 3/20*n**5. Let q(f) = -f**3 - 2*f**2 - 5*f - 3. Calculate -3*a(d) - 8*q(d).
-d**3 - 2*d**2 - 2*d
Let s(u) = -31*u - 23. Let h(b) = 5*b + 4. Determine -34*h(f) - 6*s(f).
16*f + 2
Let c(t) = 7*t - 10. Let n(l) = -21*l + 30. Calculate 17*c(b) + 6*n(b).
-7*b + 10
Let t(x) = -2*x + 3. Suppose -5*v = 4*j - 9, -2*v - 2*j = 3*j + 10. Let w(d) = -d + 1. Determine v*w(y) - t(y).
-3*y + 2
Let g(b) = -9*b**2 + 23*b + 9. Let d(u) = -3*u**2 + 8*u + 3. Calculate -17*d(j) + 6*g(j).
-3*j**2 + 2*j + 3
Let y(u) = -2 + 15 - 4 - 10 - u**2. Let a(x) = 7*x**2 + 8. What is -3*a(j) - 24*y(j)?
3*j**2
Let g(i) = 40*i + 3. Let y(z) = 38*z + 2. What is 4*g(q) - 6*y(q)?
-68*q
Let u(q) = -48*q**2 + 8*q + 8. Let f be (25/15)/(10/150*5). Let b(o) = -32*o**2 + 5*o + 5. Give f*u(k) - 8*b(k).
16*k**2
Let f(w) = w**2 + 2. Let s(q) = -3*q**3 + 2*q**2 + 4*q + 4. Let a(l) = -4*f(l) + 2*s(l). Let m(c) = -c**3. Give -a(x) + 4*m(x).
2*x**3 - 8*x
Let q(y) = 2*y**2 - y - 3. Let f(i) = i**2 - 1. Suppose 0 = 2*b + r - 23, 5*b - 40 = b - 4*r. Let m = b - 10. Let x be (m - 0)*30/18. What is x*f(c) - 2*q(c)?
c**2 + 2*c + 1
Let i(u) = -u**2 + 2*u - 2. Suppose 0 = -5*j - 10, -5*j - 5 = -2*n + 9. Let r(a) = -3*a**2 + 5*a - 5. Determine n*r(d) - 5*i(d).
-d**2
Let t(s) = 16*s**3 - s**2 + 4*s + 14. Let n(a) = 17*a**3 - a**2 + 4*a + 17. Determine -6*n(v) + 7*t(v).
10*v**3 - v**2 + 4*v - 4
Let u(c) = c**3 + 8*c**2 - c. Let p(d) = d**2 - d. Give -3*p(x) + u(x).
x**3 + 5*x**2 + 2*x
Let u(b) = 8*b - 76. Let x(v) = 23*v - 230. Determine 17*u(w) - 6*x(w).
-2*w + 88
Let s(n) = 12*n**3 - n - 3. Let h(a) = -24*a**3 + 3*a + 5. Give 3*h(g) + 5*s(g).
-12*g**3 + 4*g
Suppose 4*c + 560 = 8*c. Suppose 0 = -2*g - 3*g - c. Let y = g + 34. Let a(n) = n**3 - n**2 - 1. Let s(f) = -5*f**3 + 6*f**2 + 6. Calculate y*a(p) + s(p).
p**3
Let h(b) = b - 7. Let n = -23 + 23. Let u be h(n). Let g(t) = 2 - 2*t**2 - 4*t + 0*t + 3*t. Let j(w) = -6*w**2 - 3*w + 7. Give u*g(i) + 2*j(i).
2*i**2 + i
Let j(x) = 5*x**2 + 4*x - 1. Let o(m) be the third derivative of -m**5/6 - 3*m**4/8 + m**3/3 + 578*m**2. Determine -13*j(b) - 6*o(b).
-5*b**2 + 2*b + 1
Let i be 5/1*28/10. Let n = i + 111. Let t(p) = -125 + p + n. Let u(g) = 4*g. Calculate -3*t(l) + u(l).
l
Let k be 30/4 + 4/8. Let l(p) = 2*p**3 + 6*p - 2. Let v be 3/21 - (-39)/21. Let x(a) = a - 2 + v. Determine k*x(d) - l(d).
-2*d**3 + 2*d + 2
Let m(p) = 1155*p + 18. Let g(l) = -47355*l - 735. What is -6*g(q) - 245*m(q)?
1155*q
Let d(v) = -8*v + 2. Let a(u) = 9 + 131*u + 126*u + 135*u + 137*u - 562*u. Determine 6*a(y) - 26*d(y).
10*y + 2
Let n(a) = 2*a**3 - 12*a**2 - 10. Let u(v) = 2*v**3 - 12*v**2 - 8. Calculate -5*n(g) + 6*u(g).
2*g**3 - 12*g**2 + 2
Let s(x) = 5*x**3 + 4*x + 3. Suppose 6*i + 20 + 4 = 0. Let w(y) = y**3 + y + 1. Determine i*w(t) + s(t).
t**3 - 1
Let k(a) = 10*a - 210. Let p(f) = -f + 19. What is 6*k(w) + 65*p(w)?
-5*w - 25
Let f(p) = p**3 - 4*p**2 - 2. Let q = -6 - -11. Let b be (9 + 30/(-2))/((-4)/4). Let s(o) = -o**3 + 5*o**2 + 2. Determine b*f(t) + q*s(t).
t**3 + t**2 - 2
Let x(l) = -1. Suppose 22*w + 4 = 24*w. Suppose z + w - 6 = h, -3*z - 4*h = 9. Let r(y) = -2*y + 3. Give z*r(c) + 5*x(c).
-2*c - 2
Let q(u) = -u**3 - 2*u**2 + 69*u + 2. Let f(h) = -h**3 + h**2 + h - 1. Calculate -2*f(p) - q(p).
3*p**3 - 71*p
Let f(x) = -4*x + 3. Let m(w) = 17*w - 16. What is 33*f(k) + 6*m(k)?
-30*k + 3
Let o(y) = -11*y + 9. Let f(a) = 3 - 9 - 378*a - 382*a + 767*a. Determine -8*f(n) - 5*o(n).
-n + 3
Let k(p) be the third derivative of p**4/12 + 137*p**2. Let u(x) = 3*x. Suppose -2*h - 21 = 3*d, -9 = 2*h - d - 0. Give h*k(a) + 5*u(a).
3*a
Let d(a) = 451*a - 3. Let q(z) = -2*z - 1. Determine -d(y) + q(y).
-453*y + 2
Let a(l) = -46 + 96 + l - 50. Let n(f) = -7*f + 5. Let y(i) = 6*i - 4. Let k be 342/66 + 4/(-22). Let h(r) = k*y(r) + 4*n(r). Give -7*a(p) + 3*h(p).
-p
Let x(r) = 9*r**3 + r**2 - 10*r - 8. Let z(b) = 5*b**3 - 6*b - 4. Calculate -3*x(c) + 5*z(c).
-2*c**3 - 3*c**2 + 4
Let l(j) be the first derivative of j**4/4 - 2*j**3/3 - 3*j**2/2 + 158. Let x(t) = t**3 - 2*t**2 - 4*t. Give 3*l(p) - 2*x(p).
p**3 - 2*p**2 - p
Let w be (-1)/(-5)*3 - (-306)/90. Let z(g) = 3*g + 3 + 5*g**2 + w*g**2 - 4*g**2. Let m(x) = 10*x**2 + 5*x + 5. Calculate -3*m(i) + 5*z(i).
-5*i**2
Let h(p) be the first derivative of p**3 - 2*p**2 - 9*p + 137. Let a(t) = -t**2 + 2*t + 4. What is -7*a(f) - 3*h(f)?
-2*f**2 - 2*f - 1
Let h(c) = 13*c**2 + 31*c + 8. Let x(a) = -15*a**2 - 30*a - 9. What is -7*h(q) - 6*x(q)?
-q**2 - 37*q - 2
Let a(s) = 12*s + 4. Let p(j) = 4*j + 1. Let l be 2/((-5)/(105/6) - 0). What is l*p(c) + 2*a(c)?
-4*c + 1
Let f(t) = -9*t - 4*t**2 - 2 + 4*t + 7*t**2. Let i(m) = 6*m**2 - 20*m - 6. Let o(n) = 2*n**2 - 7*n - 2. Let w(a) = -3*i(a) + 8*o(a). Give 4*f(j) + 5*w(j).
2*j**2 + 2
Let u(r) = -6*r**3 - 6*r**2 - 20*r. Let f(x) = 3*x**2 + x**2 - 6*x**2 - 7*x - 2*x**3. Let p be 30/20 + 3/((-6)/(-19)). Calculate p*f(g) - 4*u(g).
2*g**3 + 2*g**2 + 3*g
Let f(l) = -12*l + 16. Let x(j) = -j + 3. Let u(w) = -f(w) + 5*x(w). Let v(p) = -p. Calculate u(y) - 3*v(y).
10*y - 1
Let r(q) = -15*q**2 - 83*q. Let y(l) = -2*l**2. Calculate -2*r(t) + 14*y(t).
2*t**2 + 166*t
Let x(b) = -6*b**3 + 6*b**2 + 36*b - 9. Let s(l) = 3*l**3 - 3*l**2 - 17*l + 4. Calculate 13*s(t) + 6*x(t).
3*t**3 - 3*t**2 - 5*t - 2
Let q(h) = 61*h - 31*h + h**3 - 21*h + 2*h**3 - 9 - 9*h**2. Let l(p) = p**3 - 4*p**2 + 4*p - 4. Calculate -9*l(s) + 4*q(s).
3*s**3
Let x(q) = 2*q**2 - 2*q. Let h(o) = -o**2 + 31*o - 53. Let k be h(19). Let d = k - 174. Let u(m) = -4*m**2 + 4*m**2 - m**2. Calculate d*u(r) + x(r).
r**2 - 2*r
Let r(c) = 14*c + 5. Let l(n) = 63*n + 93. Let t(j) = -5*j - 7. Let s(o) = -2*l(o) - 27*t(o). Calculate 5*r(w) - 8*s(w).
-2*w + 1
Let q(c) = 9*c - 1. Let t(m) = 39*m + 6. Let x(n) = n - 1. Let b(u) = t(u) - x(u). Let y(a) = -19*a - 4. Let z(g) = -6*b(g) - 11*y(g). Give 13*q(w) + 6*z(w).
3*w - 1
Let q(i) = -i**2 - 3. Suppose 0 = -4*f + 7 + 9. Let r = -7 + f. Let d(b) = -b**2 - 5. Let g be (-2)/4*2*-5. Calculate g*q(p) + r*d(p).
-2*p**2
Let s(q) = -42*q**3 - 2*q**2 - 6*q + 3. Let l(c) = -83*c**3 - 5*c**2 - 13*c + 8. Determine -2*l(t) + 5*s(t).
-44*t**3 - 4*t - 1
Let m(y) = y**3 - y**2 + y - 1. Let c(p) = -25*p**3 - 5*p**2 + 5*p - 5. Determine -c(b) + 5*m(b).
30*b**3
Let u(d) = -d**2. Let q(w) = 21*w**2 - w + 11. Let j(v) = -q(v) - 5*u(v). Let f(c) = -3*c**2 - 2. Suppose -a + 14 - 18 = 0. What is a*j(x) + 22*f(x)?
-2*x**2 - 4*x
Let l(x) = -203*x**2 + 15. Let z(n) = -812*n**2 + 63. What is 21*l(m) - 5*z(m)?
-203*m**2
Let f(s) = s - 5. Let u(q) be the second derivative of q**3/6 - 3*q**2 - 2*q. Suppose 4*k - 6 = -4*l + 6*l, 4*l = 2*k - 12. Give l*u(i) + 4*f(i).
i - 2
Let x(z) = 20 + 7 - 28. Let d(v) = v + 5. Give d(f) + 6*x(f).
f - 1
Let k(z) = -2*z - 1. Let b(q) = 10*q + 7. Give 3*b(i) + 12*k(i).
6*i + 9
Let n(m) = 3*m**3 + 2*m**2 - 4*m - 6. Let f(i) be the third derivative of i*
|
{
"pile_set_name": "DM Mathematics"
}
|
et f = 46508/45 + -9268/9. Let d = f + z. What is the second biggest value in 0, 2/11, d?
0
Let i = 0.1 - 0. Let g be (-86)/(-30) + (-88)/(-110). Let a = g + -25/6. What is the second smallest value in a, -0.2, i?
-0.2
Suppose 3*d + 3*c - 18 = -2*c, -2*d - 3*c + 11 = 0. Let t = 4031/7 + -576. What is the biggest value in 4/5, d, -0.4, t?
d
Let h = 46 - 44. Suppose -h*u - s = -1, u = 4*s + 7 + 7. Let p(l) = 2*l - 6. Let x be p(u). Which is the fourth biggest value? (a) 0.09 (b) x (c) 0.1 (d) 0
b
Let z = -91 - -275/3. Suppose 3*q + 4*q = -798. Let k be (-5 + 2)/(q/4). Which is the second biggest value? (a) z (b) k (c) 1.8
a
Let d(j) = 2*j - 1. Let u be d(8). Let y = -14 + u. Let g be y/(-2) - (-20)/56. Which is the biggest value? (a) 0.4 (b) 0 (c) g
a
Let j be -7 - (1/(-2))/((-1)/(-13)). Which is the second biggest value? (a) -29 (b) j (c) 0.3
b
Let m = 7486 + -7485.601. What is the third biggest value in m, 1, -3/7?
-3/7
Let a = -10.3 + 5. Let d = a - -5. Let w = -3.689 - -0.689. What is the fourth smallest value in 1, d, w, -1?
1
Suppose -2*m + 17 = -k, 6*m - 2*m - k - 29 = 0. Let d be 174/(-30) + m - 24/45. Which is the second biggest value? (a) d (b) -2/3 (c) 118
a
Let o = -847.892 + 849. What is the second smallest value in 0.5, -1/3, o, -0.1?
-0.1
Let r be -33 + 29 + (-362)/(-68). Let j = -14/17 + r. Let n = -0.1 - 0. Which is the smallest value? (a) j (b) 2 (c) n
c
Let s be ((-20)/16 - -1) + (-10)/((-8160)/(-18036)). What is the biggest value in s, 0, 3?
3
Suppose -2 + 8 = 3*i. Let j = 1.46 - -110.04. Let m = j - 111. Which is the second smallest value? (a) -1/4 (b) m (c) i (d) -4
a
Let o = 30332 + -30334. Let y = 6.1 + -7. Let w = 0.1 - y. Which is the biggest value? (a) 1/6 (b) 0.3 (c) w (d) o
c
Let y = -6373.2 + 6373. Suppose 0 = -x - 8. Which is the second smallest value? (a) 1/6 (b) x (c) y
c
Let h = -0.08 - 0.07. Let k = 4481.1 - 4480.6. What is the second smallest value in -2, h, k?
h
Let u = 134 - 74. Suppose -8*g = 7*g - u. Let m be (-8)/(-26)*(-2)/(-4). What is the biggest value in -4, -1, g, m?
g
Let z = 1.049 + -1.11. Let k = -144 + 154. Suppose 3*n = -7*n - k. What is the third biggest value in -4, z, n?
-4
Let g = 5/18 - -1/6. Let w be 48 + -57 + 0 + 8*4/3. Which is the smallest value? (a) g (b) -2 (c) 0.5 (d) w
b
Suppose -63*v = -66*v + 2175. Let n = v + -686. Which is the third smallest value? (a) n (b) -2 (c) 3/2
a
Let l = -0.5 - 0. Let h be ((-175)/14 + 3)/(10/(-4)) - 64/16. What is the third smallest value in h, l, -2/155?
-2/155
Let i(x) = 2*x**2 + 163*x + 1176. Let f be i(-8). Which is the second biggest value? (a) f (b) -0.12 (c) -27
b
Let k = -10 - -57. Suppose 43*z - k*z = -76. Suppose -18 = -z*a - 75. What is the smallest value in -9, a, -1, -5?
-9
Let r = 9872.4 + -9872. Which is the fourth biggest value? (a) r (b) 5 (c) -19 (d) -8
c
Let x be -2 + (-6)/(-6) - 109/(-12). Let i = x - 35/4. Suppose 0 = 5*y - 22 - 33. Which is the third smallest value? (a) 4 (b) i (c) y
c
Suppose 72*i - 1832 - 2341 = -285. Which is the biggest value? (a) i (b) 0.4 (c) -36
a
Let u be 2/(-6)*3/(-4). Let g = 8692 - 8700. Which is the third biggest value? (a) g (b) 4 (c) 2/5 (d) u
d
Let r = 5832 + -29157/5. What is the biggest value in r, -0.1, 1739?
1739
Let w = -69 - -66. Let k be (12/(-25))/w*(-140)/(-56). Which is the second smallest value? (a) k (b) 11 (c) 2
c
Let c = -1.7 - 1.2. Let g = -6.9 - c. Let h = -28 + 142/5. What is the third biggest value in -2/3, h, g?
g
Suppose -5*y - 4*z + 5 = 34, 3*y = 3*z - 12. Suppose 0 = -4*r - 5*v - 6, 0 = -5*r + 2*v - 7 - 17. What is the second smallest value in 0.02, y, r, 3/2?
r
Let g be 26/(-3) - (-1 - -25)/(-3). Let k = -1.24 + 0.24. Let f be ((2/11)/1)/(-1). Which is the fourth biggest value? (a) g (b) f (c) k (d) -0.5
c
Let a = 0.2 + -0.1. Suppose 3*g = -4*n - 41, -2*g + 18*n - 22*n - 34 = 0. Let f be (380/266)/((-26)/g). What is the third smallest value in a, f, -2/7?
f
Let h = 12276 - 12276. Which is the smallest value? (a) h (b) 1/3 (c) 1/4 (d) -1611 (e) -4
d
Let p = -9181 + 9187. Let y = 5.9 - -1.1. Which is the second smallest value? (a) y (b) p (c) -3
b
Let u = 1 + -2. Let n = -432 - -204. Let b be ((-3)/(-9))/(n/(-36)). What is the second smallest value in 4, b, u?
b
Let z be (-6)/8 - (20145/228 - 1). Let t = z - -88. What is the fourth biggest value in 27, 4, t, -0.4?
-0.4
Let u = 1608 - 961. Let q = u + -647.4. Which is the second smallest value? (a) 2/45 (b) q (c) -2/7 (d) 2/3
c
Let m = -3/8 + 0. Let n = 16.2 - 13.2. Let h = -0.191 - -0.091. Which is the third smallest value? (a) m (b) h (c) n
c
Suppose -46 - 31 = -7*l. Let q be l/(-77) + (-2)/(-112). Let i = -1227/7 + 175. Which is the second biggest value? (a) 1/6 (b) -2/3 (c) i (d) q
d
Let k = 699 + -698.98. Let m = 1.1 + -3.1. Which is the fourth smallest value? (a) m (b) -2/5 (c) -0.5 (d) k
d
Let v = 518 + -541.9. Let q = v + 27.9. Which is the smallest value? (a) q (b) -2/7 (c) -5
c
Let h = -11.17 + 11.23. Which is the third biggest value? (a) h (b) -3 (c) 5 (d) -18
b
Let u = 22 - 20.8. Let y = 1.2 - u. What is the biggest value in 5, y, -16?
5
Suppose -3057*v + 3048*v + 45 = 0. Let n = 0.036 - 5.036. Which is the fourth biggest value? (a) -1/9 (b) v (c) n (d) 3
c
Let u = 0.06742 + -0.01742. What is the fourth smallest value in 0.01, u, 3/11, 0.4?
0.4
Let y = -1861/4180 - -31/380. Which is the second biggest value? (a) 2/5 (b) y (c) 1 (d) -2/9 (e) -1
a
Let q = -0.068 - -0.368. Let o = -119 - -479/4. Which is the second smallest value? (a) q (b) -11 (c) o
a
Let g = -8518 - -8522. What is the second smallest value in g, -6, 1/2, 1, -2?
-2
Let t = -4903/12 + 1225/3. Which is the third biggest value? (a) t (b) -0.42 (c) -0.18
b
Let p be ((-120)/72)/(((-4)/2)/6). Let u(q) = -2*q**2 + 3*q - 3. Let f be u(2). Let o be 4/16 + f/(-4). What is the biggest value in o, p, 2?
p
Suppose -3*t - 30 + 18 = -b, -2*t - 8 = -b. What is the biggest value in 0.3, -0.268, 1/3, t, 5?
5
Let h(p) = p**2 - 6*p + 6. Let k be 34/8 - (-3)/(-12). Let v be h(k). Which is the second smallest value? (a) v (b) 7 (c) -0.1
c
Let t = -1071 + 1070.8. Which is the smallest value? (a) t (b) -5 (c) 0.3 (d) 5 (e) -1
b
Let x = 1 + 0. Let m be (1/2)/(260*16/(-1280)). Which is the biggest value? (a) x (b) 0.1 (c) 3/5 (d) m
a
Let r = 5 + -1. Let v be 2/3*(-29)/((-2175)/(-45)). What is the fourth biggest value in 2, v, r, -2/3?
-2/3
Let z = 4610 + -4610. Which is the second smallest value? (a) -0.039 (b) 1/4 (c) -2/11 (d) z
a
Suppose -2*j + 3*j + 5*w - 19 = 0, 4*j = 3*w - 16. Suppose -4*s + 24 = -7*s. Let b = s - -11. What is the smallest value in j, -3, b?
-3
Let s = -34.02 - -33.95. What is the third smallest value in 0.5, s, 0.2?
0.5
Let i(w) = -298*w - 2090. Let p be i(-7). Which is the fourth biggest value? (a) 1/5 (b) -13 (c) p (d) 0 (e) 0.04
c
Let v be 1*(-3)/1*-1. Let r = 5.69 + -4. Let x = r + -1.29. What is the second smallest value in x, v, 4?
v
Let r = -237 - -233. What is the second smallest value in -0.5, r, -0.3, -69?
r
Let j be 1*(-1)/(-1 - 5). Suppose -524*w + 28 = -538*w. Which is the third smallest value? (a) j (b) 1/5 (c) w (d) 2
b
Let s(r) = -r**2 - 9*r - 6. Let n be s(-8). Let t be (-12)/(-9)*(52/(-24) + n). Which is the third smallest value? (a) -9 (b) t (c) -1/2
b
Let g = -10095 - -10088. Which is the smallest value? (a) -26 (b) g (c) 0.5 (d) -1/6
a
Let d = -208 + 206. Let a be (((-63)/(-45))/(-7))/2. What is the second biggest value in -5, d, a, 3?
a
Let h = -5.1 - -7.31. Let z = h + -12.21. Let y = -5.6 + 0.6. What is the biggest value in y, z, 1?
1
Suppose -11*v + 152 = -87*v. Let u(g) = -3*g**2 + 4*g - 2. Let j be u(2). Let l = j - -22. Which is the smallest value? (a) l (b) -3 (c) -5 (d) v
c
Let v be 5*9/(-18)*(6/(-30) - -1). Which is the biggest value? (a) v (b) -3/25 (c) 0
c
Let y = -2516 - -2515.9. Which is the smallest value? (a) -0.4 (b) 5 (c) -0.3 (d) y (e) 0.4
a
Suppose -15*a - 81 + 1191 = 0. Let p be (-1 + 0)*(-15 + a). What is the third biggest value in 3, -1, p?
p
Let y = 13960 + -13957. Which is the fourth biggest value? (a) y (b) -0.5 (c) 0.1 (d) 9
b
Let o = -2452.5 - -2452.8
|
{
"pile_set_name": "DM Mathematics"
}
|
- 20*n + 99*n, -4*n - 53 = -5*x for x.
1
Solve -10365*w - 545 = -5*a - 10325*w, 0 = 2*a + 5*w + 76 for a.
-3
Solve 857*r + 4*s = 856*r + 23, 3*s = -5*r + 13 for r.
-1
Solve 0 = -5*j - 4*s - 163, 0*j - j - 630 + 353 = 6*s for j.
5
Solve 5100*z - 5102*z = -3*n + 53, -12*n - z = 94 for n.
-5
Solve 15 = -5*b + 3162*y - 3157*y, 3*b - 2*b - 4*y = -0*b - 27 for b.
5
Solve -165*w + 3*v + 1633677 - 1633983 = 0, -4*w - 5*v + 14 - 62 = 0 for w.
-2
Solve 17 = -7*u + 2*g, -634*u - 5*g - 90 = -625*u for u.
-5
Solve 2*g - 4*g = 13*w - g + 4*g + 83, -6*g = 3*w + 24 for w.
-6
Solve 5*h + 45 = 2113*c - 2116*c - 12, -4*h = 3*c + 60 for h.
3
Solve -376*o - 11 = 2*v - 377*o, -49 = -10*v - 3*o for v.
1
Solve 54*c + 3*i + 20 = 111*c - 55*c, 0 = -4*c + 8*i + 36 for c.
13
Solve 0 = -5*x + 5, 986 = 13*n + 2*x - 576 for n.
120
Solve 2*q + 16 - 2 - 34 = 6*x, -28 = 5*x + 4*q for x.
-4
Solve -3*t - 53 = -3*j - j, -4*t = 5*j + 2*j - 0*j - 102 for j.
14
Solve -k = 7*w + w - 11*w - 52, 28*w = -k + 16*w + 37 for k.
49
Solve -5*q + 3*m + 86 = -0*m + 95, 6*m + 2*m - 64 = 0 for q.
3
Solve -4*y - 5*n = -42, -51760*y - 5*n + 48 = -51759*y for y.
-2
Solve 3*g = 3*u - 2*u - 2, 5*g - 7 + 15 = 2*u for g.
4
Solve -c = -16*m + 225, -3*c - 3*m + 362 = -2*m + 351 for c.
-1
Solve -12*s - 88415 = -2*r - 88441, 0 = s - r - 3*r - 121 for s.
-3
Solve 0 = -4*w + 4*c + 86 - 114, 2*c = -330*w + 336*w + 5*c - 3 for w.
-2
Solve z = 5*y - 107, -177 = -16*y + 2*z + 169 for y.
22
Solve -7*z = -3*g + 557 - 19, 5*g - 846 = 11*z for g.
2
Solve -3*k = v + 36, -18182*v + 18177*v - 57*k - 726 = 0 for v.
3
Solve 3*f + 4*v = -87, -123*f - 8233*v + 8230*v = 877 - 208 for f.
-5
Solve -q + 4423 - 4492 = -5*a, 2*q + a = 4 + 1 for q.
-4
Solve 0 = 117*p + 3*h + 3168, -9*p - h = -4*p + h + 141 for p.
-27
Solve 119*t - 5*q = 124*t + 52 + 13, 21*t = -3*q - 309 for t.
-15
Solve -45*l - 37 - 126 - 60 = -2*v + 10*l + 5, 0 = 6*l + 24 for v.
4
Solve 4*c - 77*u - 77*u + 321 = -159*u, 18*c - 2*u = 15*c + 133 for c.
1
Solve -3*g - 5*j = 25, 2*g + j + 187 = -35*j + 7 for g.
0
Solve -10 = -7445*a + 7450*a + 3*s, a = -10*a + 5*s - 22 for a.
-2
Solve 6*d + 436 - 868 = 5*i - 456, -i + 4 = -d for d.
-4
Solve 0 = -6*s - 5*f + 165, 0 = -2*f + 18977 - 18923 for s.
5
Solve -2*a + 2511 - 2694 = 3*q, 2*a - 8*a = -q - 41 for a.
-3
Solve 4*w = b + 18153 - 18107, 5*b + 155 = -5*w for b.
-34
Solve -5*n - 6*x + 11 = 212, -13*x = n - 0*n + 465 for n.
3
Solve -f + 127*o + 49 = 122*o, -f + 22*o + 219 = 0 for f.
-1
Solve 0 = 37*j - 38*j + 8*q + 124, -2*j + 11 = -2*q - 27 for j.
4
Solve 17*i - 156 = -3*h, -130*i = 3*h - 126*i - 117 for h.
35
Solve 38*q = -13*p - 45*q + 82*q - 125, 20 = 4*q for p.
-10
Solve 0 = 7*m - 3*m - 2*m + 3*m + 3*k + 30, -25 - 10 = 7*k for m.
-3
Solve 109*o + 39 = 3*l + 113*o, -o - 18 = -3*o - 2*o + o for l.
5
Solve 160 = -2*v - y + 184, -56 = -2*v - 3*y for v.
4
Solve 0*w - w - 3*m = -9, -5*m = -3*w - 0*m - 8*m + 15 for w.
3
Solve 16*t - 18*t + 0*v + 43 = v, -t = -5*v + 237 for t.
-2
Solve 4*a - 2*p = 214, -199*a - 1328 = -224*a + 3*p for a.
53
Solve 0 = -5*r - 12*v + 15*v + 9 + 53, r - 221 = 30*v + 350 for r.
1
Solve 5*i = 6*o + 61, -5*i - 3*o - 6535 = -6632 for i.
17
Solve 2*t = -5*p + 84, -t + 18 = 15990*p - 15989*p for t.
2
Solve g + 33 - 1 = -6*n, 2*g + g = -106 + 46 for n.
-2
Solve -4*f = 6*q - 184, -132*f + 2*q = -136*f + 56 for f.
-2
Solve -5*k = 58278123*s - 58278128*s - 80, -2*k - 3*s - 33 = 0 for k.
3
Solve -52*x + z + 663 = 90, 320 - 128 = 109*x - 92*x - 5*z for x.
11
Solve 2*j - 91794*o = 4*j - 91796*o - 22, -2*j = 4*o + 14 for j.
5
Solve g - 22 = 5*t, -108*t - 227*g - 552 = -223*g for t.
-5
Solve 2*p - p + 5*w = -p + 65, p + 5 = 7*w + 9 for p.
25
Solve 7*g - 5*g - a - 13*a - 9 = 7*g, 5*a - 20 = 0 for g.
-13
Solve -5*z + 59 = 2*l + 33, -7*l + 5*z + 4 = l for l.
3
Solve 0 = k + 2*b + 2, 115469*b = -2*k + 115466*b - 8 for k.
-10
Solve s + 129 - 211 = -2*k - 109, 2*s + 36 = 5*k for s.
-23
Solve -23476*z = -2*x - 23472*z - 154, 2*x - 5*z = -157 for x.
-71
Solve 4*g = 3*h + 2*h - 38 - 58, 4*g - 60*h + 39*h + 416 = 0 for g.
1
Solve -h + l = 9, -4*h - 3*l = -10192 + 10214 for h.
-7
Solve 3*w - 20*t - 30 = 19*t - 36*t, -1298*w + 10390 = -3*t for w.
8
Solve -i + 2*j - 20 = 5*j, 4*i = -4*j + 120 - 144 for i.
1
Solve -118*i = -115*i - 17*s + 34, -4*s + 2 = 3*i - 6 for i.
0
Solve -46 = a + 5*x, -48 = 2*a - 856*x + 855*x for a.
-26
Solve -8*i + b = -12*i + 5, 76 = 79*i + 3*b - 73 for i.
2
Solve -11*q + 5 + 100 = -16*q - 2*v + 3*v, 26*v - 63 = 3*q for q.
-21
Solve -5*r + 24*w - 23*w = 0, 3*r + 35*w + 189*w + 1123 = 0 for r.
-1
Solve -3*z - 55 = 15320*k - 15315*k + 40, 40 + 87 = -3*z - 7*k for z.
-5
Solve -2*o + 2*k = -5*o + 5*k - 153, -4*o = -7*k + 219 for o.
-46
Solve -j = -6*h + 58, -4*h - 392*j + 146 = -395*j for h.
2
Solve m - 2*m - 5*v - 102 = 3*m - 2*v, 17*m + 2*v + 111 = 0 for m.
-3
Solve -2*c + 147206*h = 147207*h + 31, 4*c - 4*h = 112 for c.
-1
Solve j + n = -n - 1, 4*n - 3 = j + 2*j for j.
-1
Solve -z + 13 - 2 = -11*i, 15*z - 10*z + 4*i - 232 = 0 for z.
44
Solve 290 = -10*l + 4*d, 3*l - 182*d + 108 = -185*d for l.
-31
Solve -19*x = -5*n - 125, -2*n + 66*x - 65*x = 17 for n.
-6
Solve -4*s - 4 = 4*x, -3*x + 17*s = 18*s + 9 for x.
-4
Solve p - 17 + 19 + 58 = -9*p + 2*j, 25*j - 47*j - 15 = -23*j for p.
-3
Solve -83614 + 83580 = 3*m - j, 0 = -4*m + 3*j - 8*j + 151 for m.
-1
Solve 5*d + 109 = q, 5*q - 5 + 76 = -3*d for d.
-22
Solve 2*m = 20*x - 190, -3239*m - x = -3242*m + 5 for m.
5
Solve -4*t - 16535 + 16725 = 5*h, -3*t + 27 = h for h.
42
Solve 3*n - 3236*b = -3235*b - 39, -2*n = 25*b + 103 for n.
-14
Solve -5*i - 3*a = -85, 4*i + 2183198 = 7*a + 2183219 for i.
14
Solve -5*o - 85*i + 90*i = -3*o - 44, 7*o + 13*i - 215 = 0 for o.
27
Solve 3*t + 33 = 3*n, 7*n - 4565*t + 49 = -4576*t for n.
4
Solve -13*x - p + 442 = 0, 46*p = -2*x + 49*p + 68 for x.
34
Solve a + 191*q = 189*q - 139, 3*a - 248 = -a + 4*q for a.
-5
Solve 11*m - 18 = -28*b + 51, 0*m + 11*b - 31 = m + 44 for m.
-9
Solve 47 = -5*g + 2*o - 13, -447 + 465 = -2*g + 2*o for g.
-14
Solve -5160*n + 36 = -4*j - 5158*n, -j - 3*n + 2 + 17 = 0 for j.
-5
Solve 4*c = -4*a - 4, 2*a - 7*c + 3079723 - 3079703 = 0 for a.
-3
Solve -8602 = -5*p - x - 8619, 733*x = -3*p + 2187 for p.
-4
Solve 50 + 30 = 5*l + 8*k + 12, k + 31 - 49 = -3*l for l.
4
Solve -5*p - 5*a = 0, -3*p - 5*a + 23*a = 20*a - 4 for p.
4
Solve -5*c = 4*h + 159, 0 = -8948*h + 8949*h - c + 33 for h.
-36
Solve -734*y + 1900 = -772*y, m = 3*y + 155 for m.
5
Solve -2*j = -2*d + 14, -17*j + 19*j - 1113*d + 18 = -1109*d for j.
-5
Solve 3*a + i = -4*i + 26, -14*a - 14*a + 26*a = -i for a.
2
Solve 2*f = -r + 3*f - 1, 4*r + 5*f = 2*r + r + 23 for r.
3
Solve -3*n - 39 = 3*y, -n - 6*y - 71*y = -4*n - 39 for n.
-13
Solve 0 = -5*z + 3*a + 10, 12*z - 3*a + 676 = 721 for z.
5
Solve -653938*h - 3*y - 94 = -653934*h, 0 = -2*h + 4*y - 36 for h.
-22
Solve 0 = 5*j - 8*a + 7*a - 3*a - 45, 2*j - 19 = 5*a + 33 for j.
1
Solve 0 = 2*o - 3*i - 29, 10*i = 4*o + 2*o + 11*i + 43 for o.
-5
Solve 51 = -4*p - 3*a, -61 = 4*p + 6*a + 102 - 121 for p.
-15
Solve 69 = -18*o - c, o = 4*c - 100 + 157 for o.
-3
Solve 281*a - 5*t = 278*a + 4, 8*a + 18 = -6*a - 18*t + 23*t for a.
-2
Solve 2*k - 299 + 203 = 0, 0 = 3*h + 67*k - 3210 for h.
-2
Solve -5*r + 5 = -0*r - 2*f, 23 = -433*r + 430*r - 4*f for r.
-1
Solve 0 = -3*y - 3*r - 150, -293*y - 177 - 38 = -292*y + 4*r for y.
5
Solve -5*i - 5261 = -2*x - 5220, -2*x - 121 = 13*i for i.
-9
Solve 55 = 5*l + 5*h, -9311*h + 9270*h = 5*l - 55 for l.
11
Solve 3*g - 39*f + 12 = 0, 62*g - 23*g = 17*g + 19*g + 3*f - 13 + 1 for g.
-4
Solve 46*z - 14*z + b - 14 = 27*z, 2*z - 168 = -41*b for z.
2
Solve 48*t = 2*b + 62, b + 2 = 4*t - 18 - 11 for t.
0
Solve 5*q + 14 = -13*d - 16*d + 144, d + 472*q = 484*q + 41 for d.
5
Solve 23 = -540*m + 535*m - 2*p, m - 22 = -28*p + 29*p for m.
3
Solve 20*p - 2*l + 46 = 10*p, 0*p + 0 = 5*p - 3*l + 19 for p.
-5
Solve 17936 - 17962 = -4*b + 2*r, -4*r - 22 - 10 = -5*b - 17 + 28 for b.
3
Solve k + 73 = 5*y, 17*y + 5*k + 68749 = 69014 for y.
15
Solve -171*h + 166*h = -n + 6, 5*n = -46*h - 254 for h.
-4
Solve 3*s = 36*z - 792, -132 = -6*z + 25*s + 35*s - 55*s for z.
22
Solve -2 = -15*f + 14*f - 10*q, -f - 2207*q + 2202*q = -2 for f.
2
Solve 32 = 128*j - 150*j - 0*r - 2*r, 0 = j + 2*r + 11
|
{
"pile_set_name": "DM Mathematics"
}
|
ny minutes are there between 11:56 AM and 8:48 PM?
532
What is 184 minutes after 7:20 PM?
10:24 PM
How many minutes are there between 3:41 AM and 9:22 AM?
341
How many minutes are there between 6:52 AM and 6:58 AM?
6
How many minutes are there between 12:56 PM and 3:47 PM?
171
What is 466 minutes before 2:32 PM?
6:46 AM
What is 597 minutes after 4:58 AM?
2:55 PM
What is 644 minutes before 2:39 AM?
3:55 PM
How many minutes are there between 1:25 AM and 2:32 AM?
67
What is 289 minutes after 9:48 AM?
2:37 PM
How many minutes are there between 2:07 AM and 12:50 PM?
643
What is 69 minutes after 9:38 AM?
10:47 AM
What is 318 minutes before 3:34 PM?
10:16 AM
What is 11 minutes before 12:12 PM?
12:01 PM
What is 154 minutes before 9:29 AM?
6:55 AM
What is 702 minutes after 11:14 AM?
10:56 PM
How many minutes are there between 12:53 PM and 8:41 PM?
468
How many minutes are there between 5:16 PM and 4:55 AM?
699
What is 644 minutes before 6:25 AM?
7:41 PM
What is 270 minutes before 6:28 PM?
1:58 PM
What is 48 minutes after 5:21 AM?
6:09 AM
How many minutes are there between 12:07 AM and 2:10 AM?
123
What is 503 minutes after 9:09 PM?
5:32 AM
How many minutes are there between 8:28 PM and 12:48 AM?
260
What is 560 minutes after 4:42 PM?
2:02 AM
How many minutes are there between 11:01 PM and 5:07 AM?
366
How many minutes are there between 10:34 AM and 5:02 PM?
388
What is 589 minutes after 1:16 AM?
11:05 AM
What is 446 minutes before 8:55 PM?
1:29 PM
How many minutes are there between 5:09 PM and 6:16 PM?
67
What is 250 minutes after 1:56 AM?
6:06 AM
How many minutes are there between 11:33 PM and 6:36 AM?
423
How many minutes are there between 7:56 AM and 3:35 PM?
459
How many minutes are there between 12:14 AM and 6:56 AM?
402
What is 423 minutes after 1:53 PM?
8:56 PM
How many minutes are there between 1:47 PM and 12:23 AM?
636
What is 660 minutes after 5:17 PM?
4:17 AM
How many minutes are there between 6:38 AM and 11:36 AM?
298
How many minutes are there between 3:38 AM and 3:21 PM?
703
What is 391 minutes before 6:35 PM?
12:04 PM
How many minutes are there between 4:09 PM and 11:45 PM?
456
What is 398 minutes after 2:27 AM?
9:05 AM
What is 428 minutes before 9:55 PM?
2:47 PM
What is 445 minutes before 9:42 PM?
2:17 PM
How many minutes are there between 4:11 PM and 3:13 AM?
662
What is 620 minutes after 4:19 AM?
2:39 PM
How many minutes are there between 1:51 AM and 9:01 AM?
430
How many minutes are there between 9:17 PM and 11:57 PM?
160
How many minutes are there between 9:38 PM and 3:09 AM?
331
How many minutes are there between 2:13 PM and 8:53 PM?
400
What is 692 minutes after 2:48 PM?
2:20 AM
How many minutes are there between 1:32 PM and 7:57 PM?
385
What is 564 minutes after 1:19 PM?
10:43 PM
What is 38 minutes after 4:11 AM?
4:49 AM
What is 553 minutes after 3:10 PM?
12:23 AM
How many minutes are there between 8:09 PM and 7:40 AM?
691
What is 128 minutes after 12:17 PM?
2:25 PM
How many minutes are there between 2:08 AM and 8:52 AM?
404
What is 636 minutes after 12:16 PM?
10:52 PM
What is 76 minutes before 5:37 AM?
4:21 AM
What is 678 minutes before 8:18 PM?
9:00 AM
What is 647 minutes before 2:44 AM?
3:57 PM
What is 693 minutes before 7:11 AM?
7:38 PM
How many minutes are there between 8:03 PM and 8:56 PM?
53
How many minutes are there between 7:38 AM and 4:24 PM?
526
How many minutes are there between 7:22 AM and 8:33 AM?
71
How many minutes are there between 6:11 AM and 4:16 PM?
605
How many minutes are there between 1:12 PM and 11:51 PM?
639
What is 223 minutes before 3:28 PM?
11:45 AM
What is 607 minutes after 2:40 PM?
12:47 AM
How many minutes are there between 6:50 AM and 9:09 AM?
139
What is 688 minutes after 12:29 AM?
11:57 AM
What is 520 minutes before 1:29 AM?
4:49 PM
How many minutes are there between 10:35 PM and 8:52 AM?
617
What is 394 minutes before 4:01 AM?
9:27 PM
How many minutes are there between 2:52 AM and 3:34 AM?
42
What is 52 minutes before 7:46 AM?
6:54 AM
How many minutes are there between 4:46 AM and 5:39 AM?
53
What is 39 minutes after 3:44 PM?
4:23 PM
What is 265 minutes after 3:49 PM?
8:14 PM
What is 530 minutes after 1:31 PM?
10:21 PM
What is 641 minutes after 10:54 PM?
9:35 AM
How many minutes are there between 1:27 AM and 11:37 AM?
610
What is 576 minutes before 4:07 PM?
6:31 AM
How many minutes are there between 2:05 AM and 7:20 AM?
315
How many minutes are there between 10:03 AM and 4:17 PM?
374
What is 675 minutes after 3:29 AM?
2:44 PM
What is 366 minutes before 5:38 AM?
11:32 PM
What is 186 minutes after 3:27 PM?
6:33 PM
What is 89 minutes after 8:12 PM?
9:41 PM
How many minutes are there between 9:56 AM and 10:44 AM?
48
How many minutes are there between 12:59 AM and 2:49 AM?
110
How many minutes are there between 2:54 PM and 1:05 AM?
611
How many minutes are there between 8:10 PM and 5:57 AM?
587
How many minutes are there between 5:52 PM and 9:21 PM?
209
What is 264 minutes before 3:18 AM?
10:54 PM
How many minutes are there between 9:52 PM and 2:01 AM?
249
What is 641 minutes after 12:01 AM?
10:42 AM
What is 585 minutes after 9:39 AM?
7:24 PM
How many minutes are there between 7:46 PM and 11:46 PM?
240
How many minutes are there between 7:55 PM and 7:22 AM?
687
How many minutes are there between 6:35 AM and 4:16 PM?
581
How many minutes are there between 3:27 PM and 6:51 PM?
204
How many minutes are there between 9:32 AM and 5:20 PM?
468
How many minutes are there between 9:52 PM and 10:48 PM?
56
How many minutes are there between 4:51 AM and 7:10 AM?
139
How many minutes are there between 9:20 AM and 5:41 PM?
501
What is 56 minutes after 2:15 PM?
3:11 PM
How many minutes are there between 4:38 PM and 8:07 PM?
209
What is 462 minutes before 8:20 AM?
12:38 AM
How many minutes are there between 1:19 AM and 8:15 AM?
416
How many minutes are there between 6:36 PM and 3:45 AM?
549
What is 292 minutes after 10:15 PM?
3:07 AM
What is 255 minutes before 8:15 AM?
4:00 AM
How many minutes are there between 12:14 PM and 11:29 PM?
675
What is 568 minutes before 12:56 PM?
3:28 AM
What is 564 minutes before 10:23 AM?
12:59 AM
How many minutes are there between 10:22 AM and 5:21 PM?
419
What is 641 minutes before 2:28 PM?
3:47 AM
How many minutes are there between 5:08 PM and 8:13 PM?
185
How many minutes are there between 10:22 PM and 8:45 AM?
623
What is 111 minutes before 5:16 PM?
3:25 PM
How many minutes are there between 11:32 PM and 6:00 AM?
388
What is 423 minutes before 6:53 AM?
11:50 PM
How many minutes are there between 4:37 AM and 5:02 AM?
25
How many minutes are there between 5:27 PM and 1:37 AM?
490
How many minutes are there between 10:02 PM and 5:36 AM?
454
What is 14 minutes after 1:24 AM?
1:38 AM
How many minutes are there between 4:06 PM and 9:38 PM?
332
What is 353 minutes before 5:51 PM?
11:58 AM
How many minutes are there between 3:52 PM and 6:27 PM?
155
How many minutes are there between 10:19 AM and 8:43 PM?
624
How many minutes are there between 6:48 PM and 12:33 AM?
345
How many minutes are there between 5:41 AM and 4:24 PM?
643
How many minutes are there between 2:31 AM and 1:53 PM?
682
What is 611 minutes after 11:07 AM?
9:18 PM
How many minutes are there between 1:58 AM and 3:58 AM?
120
What is 636 minutes after 12:33 PM?
11:09 PM
What is 237 minutes before 1:29 AM?
9:32 PM
How many minutes are there between 10:08 PM and 6:01 AM?
473
How many minutes are there between 11:45 AM and 12:33 PM?
48
What is 677 minutes after 4:47 AM?
4:04 PM
How many minutes are there between 9:29 AM and 6:17 PM?
528
What is 56 minutes before 5:49 AM?
4:53 AM
How many minutes are there between 3:08 AM and 10:31 AM?
443
How many minutes are there between 7:15 PM and 8:56 PM?
101
What is 556 minutes before 8:34 PM?
11:18 AM
What is 517 minutes after 10:47 PM?
7:24 AM
How many minutes are there between 8:39 PM and 12:48 AM?
249
How many minutes are there between 7:57 PM and 6:22 AM?
625
How many minutes are there between 10:25 PM and 7:43 AM?
558
How many minutes are there between 3:30 PM and 11:46 PM?
496
How many minutes are there between 11:16 AM and 11:51 AM?
35
What is 289 minutes after 12:54 AM?
5:43 AM
What is 719 minutes before 12:27 AM?
12:28 PM
How many minutes are there between 5:10 AM and 9:40 A
|
{
"pile_set_name": "DM Mathematics"
}
|
assuming b is positive.
b**(-6441190/177)
Simplify ((v*v/v**(2/7))/(v/v**(-1/2)))**(1/21)/(v**(-1/3)/v**(-2))**(-21) assuming v is positive.
v**(3431/98)
Simplify ((n*n/(n/(n**35*n))*n)/n**(-4/3))/(n/(n*(n**(-9/10)*n)/n))**(-1) assuming n is positive.
n**(1207/30)
Simplify (f*f**(1/5)/f*f**(-6))**(-3/5)/((f**(-2/3))**(-10))**(3/4) assuming f is positive.
f**(-38/25)
Simplify ((d*(d/(d**(-3/2)*d))/d)/(d**(-1)*d))/(d/d**(-1))**(-1/10)*(d/d**(2/9)*d*d**(-4))**30 assuming d is positive.
d**(-1949/30)
Simplify v**31*v**(-4/7)*(v**(19/2))**(2/17) assuming v is positive.
v**(3754/119)
Simplify ((b**(5/8)*b)/(b/(b/(b*b*b**(-1/2)*b*b)*b*b)))**(-35)*((b*(b*b**(-7)/b)/b*b*b)/b**(-6/7))**(-1/6) assuming b is positive.
b**(-619/168)
Simplify ((r/r**(-3))**(-15))**(7/4)*r**(1/5)/(r/(r**(3/4)/r))*(r*r**(-2))/(r/r**(-3/2)) assuming r is positive.
r**(-2191/20)
Simplify (((q/(q*q**(-1/2)))**(-5/7)*(q**(-2))**(-1/52))**(-23))**20 assuming q is positive.
q**(13340/91)
Simplify (((r*r/(r**(-3)*r)*r)/r)/(r/(r/(r**(-3)*r))))**32/((r/(((r*r*r**(-3))/r)/r))/r**(-5))**(-14/11) assuming r is positive.
r**(2238/11)
Simplify ((m**(-1/2))**(-3/2))**(-37)*(m*(m*m/m**(-4))/m)/(m*m**0*m)*(m**(-1/2)*m*m)**(-2/29) assuming m is positive.
m**(-2767/116)
Simplify (((p/(p/(p/(p/p**(-3))))*p)**(-17))**(-3/7))**(2/11) assuming p is positive.
p**(-204/77)
Simplify (((o**(5/3)/o)/o*o)**35*o**23/(o/(o**23/o)))**(-50) assuming o is positive.
o**(-10100/3)
Simplify f**(6/7)/f**(-5)*(f**(-1/3))**28*(f**(-1/7)*f**(1/3))/(f**(2/17)/f**1) assuming f is positive.
f**(-286/119)
Simplify (f**(25/4)/(f*f*f*f**(-13/2)/f*f*f*f)*f**3*f*f/(f*f*f**(-19)*f*f))**(1/34) assuming f is positive.
f**(111/136)
Simplify (((w*w*w**0*w)/w*((w*w*w**(-1/6))/w)/w)/(w/(w*w**3/w*w)*w*w**(3/7)*w))/(w*w**(-2/5)/w*w**3)**(-15) assuming w is positive.
w**(1739/42)
Simplify (g**(-1/17)/g**(2/9))**(-50)*(g*g/((g**(-3/5)*g)/g)*g)/(g**(-1/4)/g)*(g**0/g)**(-14) assuming g is positive.
g**(100681/3060)
Simplify ((u/u**(1/5)*(u/u**(-1))/u)/((u*(u/(u*u**(-11)))/u*u)/(u/u**(-6/13))))**15 assuming u is positive.
u**(-1704/13)
Simplify ((g**6/g)/g*g**(-3))**(-28)/(g*g**(3/4)*g**(-6)*(g*g**(-6)/g)/g**(2/7)) assuming g is positive.
g**(-489/28)
Simplify ((j*j**(-2/7)*j)**39/(j**(-1/3)/j)**46)/(j**(-2/5)/j**(-2/15)*j**(-1/4)/(j*j/(j**(-3)/j))) assuming j is positive.
j**(18859/140)
Simplify ((j/(j/(j**(-1)/j)))**(-46))**(2/55)/(j/(j/((j/(j/(j*j/((j/(j*j/(j*j**(4/5))*j))/j)*j*j)))/j))*j/(j/j**7)*(j*(j**6*j)/j)/j**1) assuming j is positive.
j**(-762/55)
Simplify ((m*m*m**(-1)*m*(m/(m**(-1/3)/m))/m*m)/((m/(m/m**(2/7)))/m*m*m/(m*m**4/m*m)))/((m**(2/5))**(1/52))**29 assuming m is positive.
m**(21361/2730)
Simplify (a/a**5*a**(-2/109)/a)/(a**(-18))**(3/19) assuming a is positive.
a**(-4507/2071)
Simplify (o*o**(3/2)*o)/o**1*(o*o/(o*(((o**5/o)/o)/o)/o))/o*o/o**(-1/2)*((o/(o**(-1)/o))/o*o)**(-21)/(o**1*o*o**(-1/2)) assuming o is positive.
o**(-123/2)
Simplify ((n/(n*n**(-7)))/(n*n**(5/7)/n*n))/((n/(n*n/((n/n**(-5/12))/n*n))*n)/(n/(n*n**(13/5)))) assuming n is positive.
n**(533/420)
Simplify ((u**(-3))**41*u*u*u**(-5/3)*u*u*u**10)**(2/5) assuming u is positive.
u**(-664/15)
Simplify (h**(-2)*h**(3/10))/(h**2)**(-2/25)*((h**(-3)*h)**(1/39))**(1/21) assuming h is positive.
h**(-63163/40950)
Simplify (f/f**(-10))**19/(f**(1/49)*f)**35 assuming f is positive.
f**(1213/7)
Simplify z**44*z**(-5)*z*(z*z**(-45)/z)/z*(z/(z*z*z**(-1/60)*z*z))/z assuming z is positive.
z**(-599/60)
Simplify ((((x**3)**(-44))**(1/26))**(-13))**(1/12) assuming x is positive.
x**(11/2)
Simplify ((r/(r*r*r/(r**(-5/3)*r)))/(r/(r*r**(3/7))))/((r*r**(-1/3))/r)**(1/12)*(((r*r**2)/r)/r)**(2/135)*r**(-1/4)*(r**(-3/2)*r)/r assuming r is positive.
r**(-7457/1890)
Simplify (t/t**4*t**(1/2)*(t*t/t**(-1/4))**(-29/2))/(((t**(2/3)/t)/t)**(-7/3)*t**1/t*t**(1/4)) assuming t is positive.
t**(-2771/72)
Simplify ((m**(1/29)/(m/(m*m**5)))/(m**(-1/2)/(((m*(((m**1*m)/m)/m)/m)/m)/m)))**(5/9) assuming m is positive.
m**(1025/522)
Simplify (z/(z/z**(7/2))*z*z*z**(2/5))**10*(z**(-4)*z**(-8))/(z**1/z*z*z)**42 assuming z is positive.
z**(-37)
Simplify (n**(-5)*n*n*n**(-6))/(n**(-3)/n*n/(n**1*n))*(n**(2/9)*n**0)**(-13) assuming n is positive.
n**(-62/9)
Simplify (w**4/(w**(-3/5)*w*w))/(w**(-3/11)*w**8)*(w**(-2/5))**24*(w*w**(1/4)/w*w*w)**(-19/3) assuming w is positive.
w**(-1275/44)
Simplify (((q/q**9)/q**(-9))/(q/(q/q**8)*q**(11/4)))**(-9/5) assuming q is positive.
q**(351/20)
Simplify (q**(-5)*q**(-6))/((q/(q/q**(2/3))*q)/q**(-6))*(q**(2/19)/q*(q*q**1)/q)**(-16) assuming q is positive.
q**(-1160/57)
Simplify (f/f**12*f)**(-8/13)*f**(-2/11)/(f/(f/(f**(-23)/f*f))) assuming f is positive.
f**(4143/143)
Simplify ((j/(j/(j/j**(-1/3)))*j/(j**(-8/5)/j*j)*j)/(j**(-25/3)*j**12))**15 assuming j is positive.
j**19
Simplify ((q/q**(1/4))/q**13*q**(-2)*q**(-1))**17 assuming q is positive.
q**(-1037/4)
Simplify (d**(-2)*d**2)**(-2/57)/((d**6*d**1)/(((d**(-1)*d)/d)/(d*d*d/d**(1/4)))) assuming d is positive.
d**(-43/4)
Simplify (((p**(-2/21)*p*(p*(p**(12/7)*p)/p)/p*p)/((p*p**(-8))/p**(-1/6)))**(-8/3))**24 assuming p is positive.
p**(-14048/21)
Simplify (b**5/b**(-2/3))/(b**(-1/2)*b/(b/b**2*b*b))*((b/b**(-3))/b)/(b**(2/7)*b)*(b**(1/2))**(3/14) assuming b is positive.
b**(671/84)
Simplify ((z*((z**(-1/8)/z)/z)/z*z*((z/z**(-2/17))/z)/z)/(z*z**(-4/5)*z*z*z**(-2)*z))/(z**(5/4)/z**(-8))**(-2) assuming z is positive.
z**(10399/680)
Simplify (n**(-3)*n*n*n*(n/((n**(1/5)/n*n)/n*n))/n*(n*n*n**(2/13))/n*n/(n*n/(n*n**(-7)*n)*n))/((n*n/((n**0/n*n)/n))**(-1/41))**(1/8) assuming n is positive.
n**(-128709/21320)
Simplify (t**(-1/12)/t**(8/7))/(((t/t**(-10/9))/t)/(t*t*t/t**(-26)*t)) assuming t is positive.
t**(6971/252)
Simplify ((i/((i/i**(1/4))/i))/i**(1/6))**14*(i*i*i/i**(1/2)*i*i*(i/((i/i**6*i)/i)*i)/i*i)/(i**(-1))**(2/73) assuming i is positive.
i**(5846/219)
Simplify (j**(3/2)/j*j)/j**(1/3)*(j**(-1))**(-2/15)*(j**(-5)/j**6)/(j/(j**6*j*j)*j*j**(-3/5)) assuming j is positive.
j**(-31/10)
Simplify (t/(t/t**(-4/9))*t*t/t**10*t)**(-47)*((t/t**4)**(-2/3))**(-29/2) assuming t is positive.
t**(2888/9)
Simplify (p**(-2/7)/p)/(p/p**6*p*p)*(p/p**1)**(-4/25)*((p**(-1/4))**31)**27 assuming p is positive.
p**(-5811/28)
Simplify (((k*k**4*k)/k*k**3*k*k*(k**(-7)/k)/(k**2*k))**16)**(2/21) assuming k is positive.
k**(-32/21)
Simplify (o**(-1))**31/((o/(o/o**3))/o*o*o**7)*(o**1)**(3/25)/(o**7*o**4) assuming o is positive.
o**(-1297/25)
Simplify k**3*k**4*(k**1)**(-10/9)*(k*k/((k/(k*k**(-2)*k)*k)/k)*k**(-5/6))**(-21) assuming k is positive.
k**(43/18)
Simplify (l**27)**37*l*l/(l**(-3/22)/l)*l/((l*l**(-35))/l) assuming l is positive.
l**(22839/22)
Simplify (((v/(v**(-5/3)*v))/(v/v**(-1/4)*v*v))/(v/(v*v**0*v))**(2/67))/(((v**(-7)/v*v)/v)/v**(-2/7))**12 assuming v is positive.
v**(512249/5628)
Simplify (((u/(u*u/u**(-1/4))*u*u**11*u)/(u/(u/(u/(u/u**(-4/3))))*u*u**(-3/2)))**(16/7))**(-2/107) assuming u is positive.
u**(-1304/2247)
Simplify (y*y/(y*y**(-17)*y)*y/y**(-17))/(y**(-4/7)/y**(3/16)) assuming y is positive.
y**(4005/112)
Simplify (((b/b**(-1/5))/b*b**4*(b**(-1/4)*b)**(-2/89))**31)**(-4/9) assuming b is positive.
b**(-76942/1335)
Simplify ((((r/(r**(3/11)/r)*r)/r)/r**(-8))/(r/(r**3*r)*r/r**3))**2 assuming r is positive.
r**(324/11)
Simplify (d**(-2))**(-3/5)*(d**(-2)*d)**(6/11)*d**(-1/2)*d*d**(-6)*d*d**(4/3)/d**2 assuming d is positive.
d**(-1489/330)
Simplify ((x**1)**(1/6)/(x**(2/5))**(-14))/((x*x/x**1*x)**(-17/3))**(-1/5) assuming x is positive.
x**(7/2)
Simplify ((o*o/o**(-7)*o*o**(-3))/(o*o**5*o**(1/10)))**16 assuming o is positive.
o**(72/5)
Simplify y/(y*y**(6/5))*y**(-2)*(y/y**(-1))**9*((y**(2/3)/y)/((y/((y/(y*y*y**(2/9)*y))/y))/y))**28 assuming y is positive.
y**(-3814/45)
Simplify ((t**(-6)*t*t)/t**1)**14/((t**2*t)/t**(-2/17)*t**(-4/7)/t*t/t**(-5)) assuming t is positive.
t**(-9228/119)
Simplify r/(r**9*r)*r**(4/5)*r**34/(r/(r*(r/r**(-4/29))/r)) assuming r is positive.
r**(3761/145)
Simplify (r/r**(-4/7)*r**5*r*r**(-2)/r**(-3/4))/((r**4*r*r**(-2/13))/((r/(r**(2/9)/r*r))/r**(4/3))) assuming r is positive.
r**(3013/3276)
Simplify (((z**(-2/9))**42*z/(z*z/z**(3/11)*z)*z*(z*z**(-1)/z)/z)**(4/13))**(-48) assuming z is positive.
z**(25472/143)
Simplify (((s*s**(-5))/s*s)/(s/s**3)*s**(1/3)*s**6)/(s*(s/s**0)/s*s*s**2*(s/(s**(3/7)/s
|
{
"pile_set_name": "DM Mathematics"
}
|
.16
Round -2987338.706 to the nearest 1000000.
-3000000
What is 0.0424363333 rounded to four dps?
0.0424
Round -0.00076163609 to 4 decimal places.
-0.0008
Round -654.042127 to the nearest 10.
-650
Round 0.00565232261 to three decimal places.
0.006
Round 369.893012 to the nearest 100.
400
What is 6380.662302 rounded to the nearest ten?
6380
Round -27502153 to the nearest one million.
-28000000
What is -0.0014683366 rounded to six decimal places?
-0.001468
What is -0.1278250188 rounded to 2 dps?
-0.13
Round 0.155911282 to three dps.
0.156
What is 41.3823897 rounded to one decimal place?
41.4
Round -316690.013 to the nearest one hundred thousand.
-300000
What is 1.143426964 rounded to 2 dps?
1.14
What is 0.0910107512 rounded to 2 decimal places?
0.09
Round -360117.917 to the nearest ten thousand.
-360000
What is -132763462.4 rounded to the nearest one million?
-133000000
What is 0.000554742434 rounded to 5 decimal places?
0.00055
Round 0.000285541042 to five decimal places.
0.00029
What is 0.00618729247 rounded to 5 decimal places?
0.00619
What is 152.566357 rounded to 0 dps?
153
Round -28025.821 to the nearest one hundred.
-28000
Round -234957.1026 to the nearest 100.
-235000
What is -0.0242956794 rounded to 3 decimal places?
-0.024
What is -0.11245081 rounded to 3 dps?
-0.112
Round -0.00024440969 to 4 dps.
-0.0002
What is 0.00053960154 rounded to seven dps?
0.0005396
What is -0.839420428 rounded to 4 dps?
-0.8394
Round 0.000006033536 to seven decimal places.
0.000006
Round 127.8940675 to three decimal places.
127.894
Round -30426456 to the nearest one million.
-30000000
What is -338153986 rounded to the nearest one hundred thousand?
-338200000
What is 765.511678 rounded to 1 decimal place?
765.5
What is 3.6304844 rounded to 3 dps?
3.63
What is -3072187.05 rounded to the nearest 100000?
-3100000
Round 0.2908865237 to six decimal places.
0.290887
What is -2790.786085 rounded to the nearest 100?
-2800
What is 2103220780 rounded to the nearest 1000000?
2103000000
What is 0.000009176562897 rounded to six dps?
0.000009
Round 380966.6647 to the nearest ten.
380970
Round -758480.85 to the nearest 100000.
-800000
What is -0.000450965098 rounded to 5 dps?
-0.00045
What is -144.0881536 rounded to one decimal place?
-144.1
What is 0.00275090811 rounded to six dps?
0.002751
Round -955.8117141 to 0 decimal places.
-956
What is 74051152 rounded to the nearest one million?
74000000
Round -0.000024567521 to six decimal places.
-0.000025
What is 7.88959927 rounded to 3 dps?
7.89
Round 4404446.8 to the nearest one million.
4000000
What is -0.0380273091 rounded to 4 decimal places?
-0.038
Round -0.4859508908 to three decimal places.
-0.486
What is 196991.901 rounded to the nearest one hundred?
197000
Round 0.0010041209961 to 5 dps.
0.001
What is 1171613926 rounded to the nearest 1000000?
1172000000
Round -0.0000136523389 to seven decimal places.
-0.0000137
Round 78.8968528 to the nearest 10.
80
What is 2828.5534 rounded to the nearest 10?
2830
What is -0.0740920585 rounded to 4 dps?
-0.0741
Round 46.0859862 to 2 dps.
46.09
What is 6.9752835 rounded to 3 decimal places?
6.975
What is -42103.189 rounded to the nearest one hundred?
-42100
What is 9061.0476 rounded to the nearest integer?
9061
Round -5043307.3 to the nearest one thousand.
-5043000
Round 119.3945911 to 3 dps.
119.395
What is -51042.33 rounded to the nearest ten thousand?
-50000
Round -0.000005040084295 to 7 dps.
-0.000005
What is 0.009400022 rounded to four dps?
0.0094
What is -0.0000241398658 rounded to 5 decimal places?
-0.00002
Round -3183.0381 to the nearest ten.
-3180
What is 0.0000849497936 rounded to 5 dps?
0.00008
Round -0.489242969 to two decimal places.
-0.49
Round -6809.25571 to 0 dps.
-6809
Round 20375.616 to the nearest one thousand.
20000
Round -106.94303236 to one decimal place.
-106.9
Round 246.132674 to 2 dps.
246.13
What is -0.00001944017745 rounded to seven decimal places?
-0.0000194
What is -0.00097232371 rounded to 5 dps?
-0.00097
Round 160.18634397 to one decimal place.
160.2
Round -0.0147692259 to five decimal places.
-0.01477
Round -0.00112873239 to 5 decimal places.
-0.00113
What is -0.00009295837 rounded to 7 decimal places?
-0.000093
Round 4075915.5 to the nearest ten thousand.
4080000
Round -0.0001398456109 to five decimal places.
-0.00014
Round 32415408.1 to the nearest ten thousand.
32420000
What is 36071.0758 rounded to the nearest integer?
36071
What is -477719303.9 rounded to the nearest one million?
-478000000
What is 32195996 rounded to the nearest one million?
32000000
Round -8.7244316 to two decimal places.
-8.72
What is 46.7195736 rounded to two decimal places?
46.72
What is -19039618.2 rounded to the nearest 100000?
-19000000
Round -590409.5391 to the nearest 100.
-590400
Round 0.0318290263 to two dps.
0.03
Round -152342.082 to the nearest 10000.
-150000
What is 0.103185072 rounded to one decimal place?
0.1
What is 0.0000063562824 rounded to six decimal places?
0.000006
What is -46997.6448 rounded to the nearest integer?
-46998
Round -17957.8956 to the nearest 10000.
-20000
Round -10.37419266 to the nearest integer.
-10
What is 0.005708147315 rounded to 5 dps?
0.00571
Round -105577074 to the nearest 100000.
-105600000
What is -90912.928 rounded to the nearest 10000?
-90000
Round 0.05333517358 to four dps.
0.0533
What is -0.23458002 rounded to the nearest integer?
0
What is -4806.87612 rounded to the nearest one thousand?
-5000
What is -0.0126181807 rounded to 5 decimal places?
-0.01262
Round 0.00000399588553 to 7 decimal places.
0.000004
Round 161.474317 to the nearest 10.
160
Round 50773.78726 to the nearest ten thousand.
50000
What is -0.000897645304 rounded to 6 dps?
-0.000898
What is 412.47389 rounded to the nearest 1000?
0
Round -82765880 to the nearest one million.
-83000000
Round 863947.092 to the nearest 100.
863900
Round -51.7524045 to two dps.
-51.75
Round -0.01570857 to 3 decimal places.
-0.016
What is -66877.3168 rounded to the nearest 10?
-66880
Round -183.4260371 to one dp.
-183.4
Round 51.680756 to the nearest ten.
50
What is 12296.713755 rounded to the nearest integer?
12297
What is 0.0117290799 rounded to 3 decimal places?
0.012
What is 0.0108632643 rounded to two decimal places?
0.01
Round 0.00001059394453 to five dps.
0.00001
What is -0.00080646672 rounded to 6 decimal places?
-0.000806
Round -20.59969606 to zero dps.
-21
Round 201829.248 to the nearest 10.
201830
Round 70.817324 to the nearest 10.
70
Round 28048161.3 to the nearest 1000.
28048000
Round -1692219350 to the nearest 100000.
-1692200000
Round -269011281.66 to the nearest one thousand.
-269011000
Round 24462180 to the nearest 100000.
24500000
What is 31576.599759 rounded to the nearest ten?
31580
Round 391528951 to the nearest one hundred thousand.
391500000
What is -11501.99871 rounded to the nearest 10?
-11500
What is 0.00093906393 rounded to seven decimal places?
0.0009391
Round -0.71697881 to 1 dp.
-0.7
Round 2662.4206 to the nearest ten.
2660
What is 1.13746932 rounded to 2 decimal places?
1.14
Round 0.727272965 to 2 dps.
0.73
Round -0.01941525449 to six decimal places.
-0.019415
Round -0.000002903847261 to seven decimal places.
-0.0000029
Round 0.00015975736 to seven dps.
0.0001598
Round -1190.045 to the nearest ten.
-1190
Round 0.00019595984 to seven decimal places.
0.000196
Round 65.056729 to 2 dps.
65.06
Round -6.03696098 to four decimal places.
-6.037
What is 62.982449 rounded to the nearest 10?
60
What is -505138.3584 rounded to the nearest one hundred thousand?
-500000
What is 0.0322870204 rounded to four dps?
0.0323
Round 0.6804914 to 3 dps.
0.68
What is 27.0340425 rounded to 2 dps?
27.03
Round -133406.935 to the nearest 10.
-133410
Round 0.000445603967 to five decimal places.
0.00045
What is 9.66930397 rounded to the nearest 10?
10
What is -26167886.04 rounded to the nearest 100?
-26167900
Round -22.2577312 to three decimal places.
-22.258
What is -36663850910 rounded to the nearest 1000000?
-36664000000
What is -0.0000011051702 rounded to 7 dps?
-0.0000011
What is 6758.110708 rounded to the nearest one thousand?
7000
Round 14799.72231 to 0 dps.
14800
What is 0.00094091345 rounded to 5 decimal places?
0.00094
What is 33.63001975 rounded to 1 decimal place?
33.6
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
r + 2*j = 52, -11 = -3*r + 4*j + 32. Solve -r*g = -11*g for g.
0
Let s be (-35)/21*(-530)/14 + 16/(-168). Solve 6*p - 45 = -s for p.
-3
Suppose 118*h - 5454 = 17*h. Solve -18 = -9*n - h for n.
-4
Let q be ((-364)/(-8))/(-13)*-6. Suppose -q - 21 = -7*f. Solve -f*a = -a for a.
0
Suppose 0 = 5*g - 34 + 44. Let q be (-1 - g)/((-6)/(-12)). Suppose q*a - a = 5. Solve -3*c = 1 + a for c.
-2
Suppose 0 + 3 = 5*x + k, 2*k - 6 = -3*x. Let l be 104/(-12) - 10 - (-1)/(-3). Let g(j) = -j**2 - 18*j + 20. Let z be g(l). Solve -c = -x*c - z for c.
1
Let m(d) = -7*d - 11. Let l be m(-3). Suppose -s = 3*z - 32, 0 = 3*s - 5*s + l. Let q(o) = 2*o**3 - 17*o**2 - 7*o - 15. Let t be q(z). Solve t*a = a + 6 for a.
3
Let i be -240 - (-1)/((-6)/36). Let o = i + 255. Solve o*h + 3 = 6*h for h.
-1
Let r(s) = 4*s**3 - s**2 + 26*s + 32. Let d(u) = -5*u**3 - 27*u - 31. Let g(j) = -5*d(j) - 6*r(j). Let x be g(-8). Solve -26*f + 27*f + x = 0 for f.
-3
Suppose 25*p - 364 = 2286. Solve -p - 14 = -30*v for v.
4
Suppose -912*u - 41 = -913*u - 3*b, -7*b - 12 = -4*u. Solve -u*q - 1155 = -1019 for q.
-8
Let c(f) = -f**2 + 2*f + 3. Let d be c(3). Suppose -5*u + 123 + 35 = -v, d = -u - 2*v + 25. Let a = -30 + u. Solve 3*m = 8 + a for m.
3
Let a(c) = 2*c**2 - 13*c - 25. Let t be a(12). Let y = -87 + t. Solve 5*q = 9*q - y for q.
5
Let r(t) = 36*t - 200. Let y be r(6). Solve 6 - y = -2*m for m.
5
Let k be 8 - 4*(-3)/(-6). Solve k*b = -8*b + 2*b for b.
0
Suppose -u + 4*y + 71 = 0, 2*u + 5*y - 27 = 37. Solve 26*c + 126 = u*c for c.
6
Let s(m) = 663*m - 618. Let a be s(1). Solve -a = 14*j + 25 for j.
-5
Let u = 3626 + -3462. Solve 6*p + u = 128 for p.
-6
Let a be (-3 - (4 - 3)) + (-3 - (-10 + 3)). Solve a = 37*p + 250 - 28 for p.
-6
Let o be (-2954)/(-154) - ((-4)/(-10) - 12/55). Solve -74 = o*m + 2 for m.
-4
Let z = 9772 - 9739. Solve 6*h = z*h for h.
0
Let h(c) = -3*c + 15 - 37 - c**2 + 30 - 4*c. Let y be h(0). Suppose 2*k + 4 - 20 = 0. Solve -y = -4*a + k for a.
4
Suppose 0 = -12*w - 26 + 86. Let c be (3/(-1) - -4) + (11 - w). Let m be (-4)/(-3)*(2 + 1). Solve m*x - 1 - c = 0 for x.
2
Let k(j) = 53*j**2 - 4*j - 8. Let g be k(-3). Let z = g - 479. Solve 3*v = -5 + z for v.
-1
Let o(m) = 2*m**3 - 6*m + 19*m**2 - 7 + 3*m**2 - 9*m**2 + 14*m - 2*m**2. Let f be o(-4). Solve f*s = 68 - 23 for s.
5
Suppose 40*g + 250 - 410 = 0. Solve 75 = 21*p + g*p for p.
3
Suppose -3*r - 48 = -3*n, -r = n - 6*n + 84. Let q = -20 + n. Let l be q*10/15 - -3. Solve l = -3*f - 2 for f.
-1
Let p = -181 - -183. Suppose i - 3*i = b - 10, 22 = p*i + 4*b. Solve 0 = j - 2 - i for j.
5
Suppose 3*n - 13 - 2 = 0. Let c be (-3)/(-9)*n - 5/3. Suppose -3*r - 32 = -5*r. Solve r = -c*d + 4*d for d.
4
Let r = 72 + -65. Let o(u) = -74*u + 2824. Let b be o(38). Solve r*z + b = 10*z for z.
4
Suppose -4*s + 630 + 42 = 0. Let p = 171 - s. Suppose -3*u + 16 = -2. Solve p*i = i - u for i.
-3
Let a be (-2)/(-3)*6*9/12. Suppose 2*j = 2*m + 4, 0*j - 4*j + a*m + 5 = 0. Let c be 2 - (-1)/1*(j + 2). Solve 2 + 1 = -c*t for t.
-1
Suppose 1 + 31 = 2*n. Suppose 0 = -a + i + n, 5*a + 0*i + 3*i - 112 = 0. Suppose -4*t = -t - 4*g + a, -4*t + 10 = 2*g. Solve t = -c + 2*c - 1 for c.
1
Suppose 0 = -q + g + 5, 5*g = -92*q + 88*q + 56. Solve -q*b = -6*b - 13*b for b.
0
Let x be 4/18 + 4/(-18)*-107. Solve -x*a = 2*a - 104 for a.
4
Let k(w) = 7*w**3 - 50*w**2 + 8*w - 7. Let p be (-5)/((-20)/84)*1/3. Let n be k(p). Solve 2*h - 5*h = n for h.
0
Suppose 5*o + 0*o + 180 = 0. Let y = o + 41. Suppose 3*w - 11 - 2 = a, y*a + 35 = 5*w. Solve -w*d - 5 + 8 = 0 for d.
1
Let a be 1222/376 - 6/(-8). Solve -a*k = -14*k for k.
0
Suppose 5 = r + 3. Suppose r*n = n. Let m be 5*1 + ((-1380)/(-345) - (6 - 0)). Solve -m*b + 2 + 10 = n for b.
4
Let v be ((-36)/6)/12 + (55/(-10) - -10). Solve v = -80*u + 79*u for u.
-4
Let g be (-15)/(-6) - 3/6. Let a be ((-3)/g)/(4/(-72)). Let b be (-3)/a + (-92)/(-18). Solve 9 = -2*o + b*o for o.
3
Let t(x) = x**3 - 79*x**2 + 571*x - 53. Let o be t(71). Solve 8*r + o = -24*r for r.
-5
Suppose 3*u - 1399 = 4*j - 202, -4*j + 399 = u. Suppose -3*k - 2*b = -186, -u = -4*k + b - 162. Let f = -40 + k. Solve 0 = 6*a - a - f for a.
4
Suppose -4*v - 5*v - 36 = 0. Let o be v/6*(-105)/14. Suppose z - 18 = 6*c - c, 2*z = -o*c + 36. Solve z = -4*g + 2 for g.
-4
Suppose -r + 5*s = -60, 0 - 8 = 2*s. Suppose 8 = 16*j - r. Solve -j*c = -2*c + 3*c for c.
0
Let g be ((-2)/5)/(2/(-50)). Suppose 0 = -41*m + 36*m + 189*m + 207*m. Solve -5*i = -m*i - g for i.
2
Let i = 90 - 84. Suppose 5*u - i*u = -11. Suppose -6*a + 2*p - 12 = -u*a, -2*a + 7 = 3*p. Solve 0*d = -a*d + 10 for d.
5
Let j(w) be the second derivative of -w**3/3 + 3*w**2/2 + 9*w + 6. Suppose -2 = -2*s - 0. Let m be j(s). Solve -2*p + m - 7 = 0 for p.
-3
Let v(u) = 61*u - 673. Let l be v(75). Solve -i - 3895 + l = 0 for i.
7
Suppose 15*g - 20*g = 3*s - 44, -3*s = -9. Solve 334*b - 327*b = -g for b.
-1
Suppose -11 = -5*r - b, -r = 4*r + 5*b - 15. Let a be 5 - (7 + -7)*(-3 + 2). Suppose -2*w - 4 = 0, 34*i = 39*i - a*w - 25. Solve -r = -i*t - 11 for t.
-3
Suppose 18*j - 500 = 13*j. Suppose -j = 9*y - 7*y. Let k = y + 79. Solve k = -4*o + 9 for o.
-5
Let a be (-2 - -1) + 1 + 0. Suppose -3*z + 35 = -2*x, 19*z - 15*z - 4*x - 48 = 0. Solve -y + z - 6 = a for y.
5
Suppose -4*c - 126 = -22*c - 0*c. Solve -c*x - 193 = -165 for x.
-4
Let f be (-372)/2418*130/(-4). Suppose -i + 2*i - 3 = 0. Solve -f*v = -i*v for v.
0
Suppose -x - 4*x + 586 = -2*k, 0 = -2*x + 5*k + 226. Solve -7*p - 97 = -x for p.
3
Let a(c) = c**3 - 12*c**2 + 13*c - 16. Let v be a(11). Let h be (1 + v/4)*192/60. Solve -h = 3*l - 20 for l.
4
Let l = -15942 + 16006. Solve 870*g = 854*g + l for g.
4
Let s(h) = -9*h**3 - 2*h**2 - 4*h - 3. Let k be s(-3). Suppose x - 7*x + k = 0. Let o = x - 35. Solve 0 = 2*a - 2 - o for a.
3
Suppose 10387 - 8667 = 43*t. Solve -t*d - 38*d - 546 = 0 for d.
-7
Suppose 92 + 242 = 47*c - 230. Solve -246*w - c = -248*w for w.
6
Let z be (1/(-2))/((-2)/56). Suppose 2*p = -5*j - 35 + 65, -2*p = 4*j - 28. Solve -p = -q - z for q.
-4
Suppose -2*u = -c - 21, -8 = -2*u + 3*c + 7. Suppose 0 = m + 2*m - u. Suppose m*y - 11*y + 21 = 0. Solve -s + y = 4 for s.
-1
Suppose 0 = 8*c + 4*c - 696. Let r = c + -54. Solve 2*s - s = -r for s.
-4
Let t be (0 - 0)/(24 - (39 - 14)). Solve -145*d + 136*d - 54 = t for d.
-6
Let n = -45 + 48. Let a(h) = -h + 8*h + 29 + h**2 - 20. Let b be a(-6). Solve -n*v = b - 0 for v.
-1
Let d(z) = z**3 - 5*z**2 - 3*z - 1. Let n be d(6). Suppose -t + 12 = v, -v - 3*t + 4 = -8. Solve -v*o + 15 = -n*o for o.
-3
Let v = -521 + 333. Let l = 188 + v. Solve l = -10*c - 16 - 4 for c.
-2
Let g(v) = 2*v**2 - 20*v + 28. Suppose -19*x + 54 = -117. Let b be g(x). Solve -2*h + b*h = 16 for h.
2
Suppose -14 = -4*p + w, 3*w - 13 - 5 = -3*p. Let t be (14 - 64/4)/((-2)/p). Solve -3*b + t = 10 for b.
-2
Let h be (-39 - 0)/((-1 + 0)*1). Suppose 2*z - 123*c + 122*c = 21, 5*z + c = 49. Solve 0 = -z*t - h + 9 for t.
-3
Let x(i) = 7*i**3 - 49*i**2 - 3*i + 16. Let a be x(8). Solve 83*n = 28*n + a for n.
8
Suppose -110*o = 108*o - 209*o - 792. Solve 0 = 384*k - 373*k - o for k.
8
Suppose -2*a - q + 41 = -0*q, 62 = 3*a + q. Let n = a - 1. Let m = -5102 - -5104. Solve -3*t = m*t + n for t.
-4
Let w(p) = 11*p - 162. Let m be w(27). Suppose 24 = -37*y + m. Let t = -1 + 1. Solve t = -y*j - j - 12 for j.
-3
Let i(d) = -6*d**2 - 35*d - d - 26*d**2 - 67 - d**3 - 3*d**2. Let q be i(-34). Solve -3*x + 7 = q for x.
2
Suppose -4*w = 3*i + 13 - 4, 0 = 3*i - 3*w - 12. Let d be (-418)/(-22) + 6/(i - -2). Solve 0 = 12*j + d + 27 for j.
-4
Let g(t) be the first derivative of t**3/3 + 11*t**2/2 - 32*t + 37. Let d be g(-14). Solve 9 = u + d for u.
-1
Let l be (4 + 319/(-77))*-133. Solve -8*h - 27 + l = 0 for h.
-1
Suppose 7*d - 2*d - 25 = 0. Let q = -14 + 14. Let n be ((0/6)/4)/((-3)/(-3)). Solve q = -n*u - d*u for u.
0
Let g be (-335)/(-268) + (-310)/(-8). Solve 0 = -55*l + g*l for l.
0
Let s be (-3)/(-1) + 92/(-14 + 10). Let f be 7*(-4 + (-25)/s*4). Solve -3*j = -f*j for j.
0
Suppose u = -3*p + 282, 17*p = 3*u + 15*p - 769. Solve -u*o + 263*o = -10 for o.
-5
Let x = -4563 + 4700. Solve 122 - x = -15*j for j.
1
Let y(i) = -839*i + 7558. Let k be y(9). Suppose -2*r = -0 - 4. Solve -k = 5*p - r for p.
-1
Let n(m) = -533*m - 5305. Let o be n(-10). Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
the third root of 140104 to the nearest integer?
52
What is the third root of 915045 to the nearest integer?
97
What is 425287 to the power of 1/2, to the nearest integer?
652
What is 9903573 to the power of 1/2, to the nearest integer?
3147
What is 334086 to the power of 1/2, to the nearest integer?
578
What is 1319889 to the power of 1/2, to the nearest integer?
1149
What is the fourth root of 4358991 to the nearest integer?
46
What is the tenth root of 1862196 to the nearest integer?
4
What is the tenth root of 743863 to the nearest integer?
4
What is the fourth root of 27000 to the nearest integer?
13
What is the seventh root of 1427290 to the nearest integer?
8
What is 356069 to the power of 1/3, to the nearest integer?
71
What is the square root of 220550 to the nearest integer?
470
What is 20159071 to the power of 1/3, to the nearest integer?
272
What is the square root of 312199 to the nearest integer?
559
What is the square root of 2541987 to the nearest integer?
1594
What is 378104 to the power of 1/9, to the nearest integer?
4
What is the cube root of 9521561 to the nearest integer?
212
What is 5911541 to the power of 1/4, to the nearest integer?
49
What is 191070 to the power of 1/8, to the nearest integer?
5
What is the square root of 678492 to the nearest integer?
824
What is the square root of 6581897 to the nearest integer?
2566
What is the ninth root of 2302181 to the nearest integer?
5
What is the square root of 383223 to the nearest integer?
619
What is 38302 to the power of 1/3, to the nearest integer?
34
What is the square root of 1142626 to the nearest integer?
1069
What is the tenth root of 150141 to the nearest integer?
3
What is the square root of 2299926 to the nearest integer?
1517
What is 3473013 to the power of 1/6, to the nearest integer?
12
What is the square root of 1110834 to the nearest integer?
1054
What is 329068 to the power of 1/7, to the nearest integer?
6
What is 13099259 to the power of 1/7, to the nearest integer?
10
What is 20164869 to the power of 1/2, to the nearest integer?
4491
What is the third root of 6564731 to the nearest integer?
187
What is 3519152 to the power of 1/2, to the nearest integer?
1876
What is the square root of 3280185 to the nearest integer?
1811
What is 838424 to the power of 1/2, to the nearest integer?
916
What is the square root of 530516 to the nearest integer?
728
What is 1361245 to the power of 1/3, to the nearest integer?
111
What is the third root of 2932544 to the nearest integer?
143
What is 362353 to the power of 1/8, to the nearest integer?
5
What is 3429158 to the power of 1/3, to the nearest integer?
151
What is 486718 to the power of 1/3, to the nearest integer?
79
What is the seventh root of 420912 to the nearest integer?
6
What is 388412 to the power of 1/4, to the nearest integer?
25
What is 1335288 to the power of 1/10, to the nearest integer?
4
What is the cube root of 534199 to the nearest integer?
81
What is the eighth root of 34439391 to the nearest integer?
9
What is the cube root of 241695 to the nearest integer?
62
What is the cube root of 668486 to the nearest integer?
87
What is the third root of 467274 to the nearest integer?
78
What is 17492316 to the power of 1/3, to the nearest integer?
260
What is the square root of 1765126 to the nearest integer?
1329
What is the fifth root of 93792 to the nearest integer?
10
What is 302360 to the power of 1/4, to the nearest integer?
23
What is the third root of 532575 to the nearest integer?
81
What is 8973992 to the power of 1/3, to the nearest integer?
208
What is 966684 to the power of 1/3, to the nearest integer?
99
What is the third root of 1003551 to the nearest integer?
100
What is the fifth root of 85731 to the nearest integer?
10
What is the third root of 1119330 to the nearest integer?
104
What is the square root of 63194 to the nearest integer?
251
What is 9290188 to the power of 1/6, to the nearest integer?
14
What is 74075 to the power of 1/6, to the nearest integer?
6
What is the third root of 2832382 to the nearest integer?
141
What is 199821 to the power of 1/2, to the nearest integer?
447
What is 14325993 to the power of 1/9, to the nearest integer?
6
What is the square root of 11943452 to the nearest integer?
3456
What is 3793061 to the power of 1/3, to the nearest integer?
156
What is the third root of 24390984 to the nearest integer?
290
What is the ninth root of 290921 to the nearest integer?
4
What is the tenth root of 183144 to the nearest integer?
3
What is the third root of 7462868 to the nearest integer?
195
What is the cube root of 149987 to the nearest integer?
53
What is the square root of 597168 to the nearest integer?
773
What is the square root of 2914781 to the nearest integer?
1707
What is the square root of 564244 to the nearest integer?
751
What is the square root of 3249360 to the nearest integer?
1803
What is 1524954 to the power of 1/3, to the nearest integer?
115
What is the square root of 580954 to the nearest integer?
762
What is the ninth root of 106928 to the nearest integer?
4
What is 341697 to the power of 1/2, to the nearest integer?
585
What is the fourth root of 370134 to the nearest integer?
25
What is 1021506 to the power of 1/5, to the nearest integer?
16
What is the third root of 1743738 to the nearest integer?
120
What is 4449646 to the power of 1/3, to the nearest integer?
164
What is the cube root of 512802 to the nearest integer?
80
What is the cube root of 53802 to the nearest integer?
38
What is the third root of 1541584 to the nearest integer?
116
What is the square root of 28794279 to the nearest integer?
5366
What is 73872 to the power of 1/3, to the nearest integer?
42
What is the cube root of 18268709 to the nearest integer?
263
What is the third root of 6412227 to the nearest integer?
186
What is 211838 to the power of 1/6, to the nearest integer?
8
What is 304138 to the power of 1/5, to the nearest integer?
12
What is the cube root of 498301 to the nearest integer?
79
What is the cube root of 4091067 to the nearest integer?
160
What is 39492 to the power of 1/3, to the nearest integer?
34
What is the cube root of 1785235 to the nearest integer?
121
What is the fourth root of 6241360 to the nearest integer?
50
What is the eighth root of 357290 to the nearest integer?
5
What is 64548 to the power of 1/3, to the nearest integer?
40
What is the third root of 229113 to the nearest integer?
61
What is the ninth root of 220370 to the nearest integer?
4
What is the square root of 566349 to the nearest integer?
753
What is the fourth root of 571214 to the nearest integer?
27
What is the square root of 1822598 to the nearest integer?
1350
What is 436825 to the power of 1/3, to the nearest integer?
76
What is 2843603 to the power of 1/2, to the nearest integer?
1686
What is 881626 to the power of 1/10, to the nearest integer?
4
What is the ninth root of 12177947 to the nearest integer?
6
What is the square root of 2773634 to the nearest integer?
1665
What is the ninth root of 26780112 to the nearest integer?
7
What is the sixth root of 270897 to the nearest integer?
8
What is 625197 to the power of 1/5, to the nearest integer?
14
What is 312986 to the power of 1/5, to the nearest integer?
13
What is the square root of 121170 to the nearest integer?
348
What is the fourth root of 2302944 to the nearest integer?
39
What is 73818 to the power of 1/2, to the nearest integer?
272
What is 2952730 to the power of 1/2, to the nearest integer?
1718
What is 1203099 to the power of 1/3, to the nearest integer?
106
What is 1356828 to the power of 1/6, to the nearest integer?
11
What is 3359350 to the power of 1/2, to the nearest integer?
1833
What is the cube root of 223127 to the nearest integer?
61
What is the square root of 1620424 to the nearest integer?
1273
What is the cube root of 1809977 to the nearest integer?
122
What is the square root of 4339941 to the nearest integer?
2083
What is 287908 to the power of 1/2, to the nearest integer?
537
What is 4690619 to the power of 1/2, to the nearest integer?
2166
What is the seventh root of 545520 to the nearest integer?
7
What is the square root of 11108564 to the nearest integer?
3333
What is the third root o
|
{
"pile_set_name": "DM Mathematics"
}
|
x/8 + 40293/4.
(x - 8954)*(x - 9)/8
Suppose -u**5/3 + 163*u**4/3 - 1278*u**3 - 11848*u**2/3 + 658720*u/3 - 214400 = 0. Calculate u.
-12, 1, 20, 134
Factor 4*g**3/3 - 380*g**2/3 + 788*g + 12180.
4*(g - 87)*(g - 15)*(g + 7)/3
Find o such that 3*o**2 - 15777*o + 94554 = 0.
6, 5253
Suppose 3*x**3/2 + 654*x**2 - 18801*x/2 + 22275 = 0. Calculate x.
-450, 3, 11
Solve -g**4 + 15*g**3 - 57*g**2 + 73*g - 30 = 0.
1, 3, 10
Solve -x**4 - 7569*x**3 + 4*x**2 + 30276*x = 0 for x.
-7569, -2, 0, 2
Factor 3*k**3 + 1290*k**2 - 3891*k + 2598.
3*(k - 2)*(k - 1)*(k + 433)
Factor 74*y**2/5 - 29*y - 231/5.
(y - 3)*(74*y + 77)/5
Solve -5*u**3 - 9875*u**2 + 1521685*u - 56514045 = 0 for u.
-2121, 73
Factor 3*o**2/7 + 8640*o/7 + 8619.
3*(o + 7)*(o + 2873)/7
Determine w, given that -2*w**3 - 5845*w**2 - 113197*w + 58060 = 0.
-2903, -20, 1/2
Solve -2*o**4 - 218*o**3 + 2*o**2 + 218*o = 0 for o.
-109, -1, 0, 1
Solve -2*y**4 + 136*y**3 + 64410*y**2 - 259208*y + 259720 = 0.
-151, 2, 215
Factor i**3 + 10*i**2 + 24*i.
i*(i + 4)*(i + 6)
Solve 3*w**3 - 141*w**2 - 291*w - 147 = 0 for w.
-1, 49
Determine p, given that 2*p**5 - 18*p**4 - 150*p**3 + 706*p**2 + 3060*p - 3600 = 0.
-5, 1, 6, 12
Factor 2*b**2/5 + 14354*b/5 - 28716/5.
2*(b - 2)*(b + 7179)/5
Factor -2*h**5 - 72*h**4 - 736*h**3 - 2848*h**2 - 4704*h - 2816.
-2*(h + 2)**3*(h + 8)*(h + 22)
Let -n**2/5 + 1027*n/5 + 9324/5 = 0. What is n?
-9, 1036
Suppose -216*n**2 + 5*n = 0. What is n?
0, 5/216
Let -118*t**4/19 + 702*t**3/19 - 1268*t**2/19 + 672*t/19 = 0. Calculate t.
0, 56/59, 2, 3
Factor -2*z**3/3 - 15454*z**2 + 185520*z - 556632.
-2*(z - 6)**2*(z + 23193)/3
Suppose -10*m**5 + 194*m**4 - 516*m**3 - 464*m**2 + 256*m = 0. Calculate m.
-1, 0, 2/5, 4, 16
Find i, given that -5*i**5 + 470*i**4 + 4560*i**3 + 7690*i**2 + 3605*i = 0.
-7, -1, 0, 103
Let 276*n**5 - 48309*n**4 + 1299*n**3 + 48309*n**2 - 1575*n = 0. What is n?
-1, 0, 3/92, 1, 175
Factor 2*l**3/3 + 926*l**2/3 + 105782*l/3 - 108578.
2*(l - 3)*(l + 233)**2/3
Factor -263*q**3 - 2105*q**2 - 4216*q - 16.
-(q + 4)**2*(263*q + 1)
Factor -3*n**3 + 580*n**2 - 10573*n + 3460.
-(n - 173)*(n - 20)*(3*n - 1)
What is r in -653*r**2 + 1318*r - 24 = 0?
12/653, 2
Suppose 2*c**4/5 - 8*c**2 + 128/5 = 0. Calculate c.
-4, -2, 2, 4
Solve -3*y**2 - 19071*y - 38130 = 0.
-6355, -2
Solve j**3/4 - 1160*j**2 + 391557*j/4 + 198099/2 = 0.
-1, 87, 4554
Determine m so that m**2 + 13542*m + 45846441 = 0.
-6771
Factor 4963*l**2/4 + 4959*l/4 - 1.
(l + 1)*(4963*l - 4)/4
Solve m**2/4 + 354*m - 1417/4 = 0.
-1417, 1
Let 57*c**2 + 31026*c + 9792 = 0. Calculate c.
-544, -6/19
Factor -o**2/2 - 86791*o/2 + 173590.
-(o - 4)*(o + 86795)/2
Factor 2*y**2/15 - 91612*y/15 + 1049094818/15.
2*(y - 22903)**2/15
Factor -4*g**3 + 2044*g**2 + 10296*g + 12384.
-4*(g - 516)*(g + 2)*(g + 3)
Let -16*z**2/5 - 279*z/2 - 5733/10 = 0. Calculate z.
-39, -147/32
Determine l so that 3*l**5 + 3831*l**4 - 42579*l**3 - 96639*l**2 - 50232*l = 0.
-1288, -1, 0, 13
Factor -38*u**2/3 - 235*u/3.
-u*(38*u + 235)/3
Solve -m**4 + 25868*m**3 - 167288355*m**2 - 25868*m + 167288356 = 0.
-1, 1, 12934
Let 3*g**2/2 - 9021*g/2 - 398997 = 0. What is g?
-86, 3093
Factor 1285*n**3 - 53968*n**2 - 84*n.
n*(n - 42)*(1285*n + 2)
Let -o**3/4 - 187*o**2/4 - 1014*o - 5868 = 0. Calculate o.
-163, -12
Factor i**2/9 + 1559*i/9 + 3106/3.
(i + 6)*(i + 1553)/9
Determine t, given that 2*t**3/5 + 2018*t**2/5 - 14224*t/5 = 0.
-1016, 0, 7
Factor 3*q**3/7 + 53595*q**2/7 + 107181*q/7 + 53589/7.
3*(q + 1)**2*(q + 17863)/7
Factor -5*a**2 - 6715*a - 2220530.
-5*(a + 589)*(a + 754)
Factor -2*d**4/5 - 4776*d**3/5 - 2841704*d**2/5 + 11424192*d/5 - 11443328/5.
-2*(d - 2)**2*(d + 1196)**2/5
Factor 5*o**2 - 1930*o - 1104075.
5*(o - 701)*(o + 315)
What is m in -3541924*m**3/3 + 7639915012*m**2/3 + 32475776*m/3 + 11504 = 0?
-2/941, 2157
Suppose w**5 + 105*w**4 - 1754*w**3 + 5616*w**2 + 11392*w - 15360 = 0. Calculate w.
-120, -2, 1, 8
What is f in -f**3 - 1043*f**2 + 2093*f + 3135 = 0?
-1045, -1, 3
Find b such that 3*b**4/4 + 19*b**3/2 - 433*b**2 - 12331*b/2 + 26353/4 = 0.
-19, 1, 73/3
Let -5*l**4 - 3090*l**3 - 561105*l**2 - 25863300*l - 350284500 = 0. Calculate l.
-279, -30
Let -2*c**3 - 670*c**2 - 28704*c - 330624 = 0. What is c?
-287, -24
Factor 4*t**2/7 + 84088*t + 3093471388.
4*(t + 73577)**2/7
Solve -890*l**3/9 + 17798*l**2/3 + 40*l = 0.
-3/445, 0, 60
Suppose -16*w**5 - 5400*w**4 - 485697*w**3 - 5087671*w**2 - 16324287*w - 11716929 = 0. Calculate w.
-163, -21/4, -1
Suppose g**3/6 + 4316*g**2/3 + 18532541*g/6 - 205952219/3 = 0. What is g?
-4327, 22
Factor -3*c**2/5 - 16256*c/5 + 5419/5.
-(c + 5419)*(3*c - 1)/5
Factor 5*c**2 - 1882729*c - 376546.
(c - 376546)*(5*c + 1)
What is z in 5*z**5 - 2625*z**4 + 166030*z**3 - 3107670*z**2 + 10376685*z - 7432425 = 0?
1, 3, 33, 455
Factor -5*n**2 - 2683680*n - 360106917120.
-5*(n + 268368)**2
Determine c, given that 4*c**5 - 19860*c**4 + 99224*c**3 - 119024*c**2 - 79392*c + 158720 = 0.
-1, 2, 4960
What is r in 2*r**3 + 73994*r**2 + 73992*r = 0?
-36996, -1, 0
Factor -y**2 - 2569*y - 5134.
-(y + 2)*(y + 2567)
Factor 162*g**2 - 402480*g + 249984800.
2*(9*g - 11180)**2
Factor -5*p**2 + 595740*p - 17745307380.
-5*(p - 59574)**2
Suppose 615*h**5 - 1251965*h**4 + 894805*h**3 + 1211265*h**2 - 895420*h + 40700 = 0. What is h?
-1, 2/41, 2/3, 1, 2035
Let -5*f**3 + 965*f**2 - 56855*f + 930015 = 0. What is f?
27, 83
Solve 3*k**2/5 - 41268*k/5 - 495648/5 = 0 for k.
-12, 13768
Suppose -3*y**4 + 48291*y**3 - 144855*y**2 + 144849*y - 48282 = 0. What is y?
1, 16094
Factor v**2 - 3016*v - 3017.
(v - 3017)*(v + 1)
Determine q so that -q**4 + 5198*q**3 + 31213*q**2 + 57238*q + 31224 = 0.
-3, -2, -1, 5204
Suppose 42*i**5 - 14444*i**4 + 27394*i**3 - 11624*i**2 - 1368*i = 0. Calculate i.
-2/21, 0, 1, 342
Factor -3*n**4 + 6096*n**3 - 3133128*n**2 + 36941760*n - 110170800.
-3*(n - 1010)**2*(n - 6)**2
Determine i, given that -6*i**2 - 622*i - 1020 = 0.
-102, -5/3
Factor -2*h**2/9 - 254*h/3 - 26068/9.
-2*(h + 38)*(h + 343)/9
What is x in -5*x**3 - 725*x**2 - 21240*x - 176580 = 0?
-109, -18
Let -2*a**5/3 - 274*a**4/3 - 10046*a**3/3 - 15138*a**2 - 20592*a - 8712 = 0. Calculate a.
-66, -3, -1
Determine j, given that 2*j**3 - 74*j**2 + 800*j - 2688 = 0.
8, 21
Factor 5*d**4 + 7370*d**3 + 2781365*d**2 + 48288240*d + 214643520.
5*(d + 9)**2*(d + 728)**2
Factor -t**3/3 - 3410*t**2/3 + 20503*t/3 + 23912/3.
-(t - 7)*(t + 1)*(t + 3416)/3
Suppose -20*b**3 + 4475*b**2 + 48135*b - 38610 = 0. Calculate b.
-11, 3/4, 234
Let 3*l**3 + 4434*l**2 + 4431*l = 0. What is l?
-1477, -1, 0
Let 3*r**2 + 12420984*r + 12856736960688 = 0. What is r?
-2070164
Factor -3*a**5/5 - 618*a**4/5 - 33636*a**3/5 - 187224*a**2/5 - 72960*a - 48000.
-3*(a + 2)**3*(a + 100)**2/5
Factor 2*o**3 - 84*o**2 - 28118*o + 28200.
2*(o - 141)*(o - 1)*(o + 100)
Determine y, given that -6*y**4/5 - 477*y**3/5 - 1113*y**2 - 14544*y/5 - 1188 = 0.
-66, -10, -3, -1/2
Factor 5*v**4 + 915*v**3 + 910*v**2.
5*v**2*(v + 1)*(v + 182)
Let -n**3 - 18*n**2 + 336*n + 1568 = 0. What is n?
-28, -4, 14
Let -3*p**5 + 9*p**4 - 6*p**3 = 0. Calculate p.
0, 1, 2
Solve 7*l**4/4 - 4561*l**3/4 - 10163*l**2/2 - 1652*l + 7872 = 0.
-24/7, -2, 1, 656
Suppose 35*h**5 + 470*h**4 - 5825*h**3 + 16600*h**2 - 10260*h - 7920 = 0. What is h?
-22, -3/7, 2, 3, 4
Factor r**3/10 - 92*r**2/5 + 712*r/5 - 1408/5.
(r - 176)*(r - 4)**2/10
Factor x**3/2 + 105307*x**2/2.
x**2*(x + 105307)/2
Solve -2*t**3 - 7526*t**2 + 30136*t = 0.
-3767, 0, 4
Factor 3*m**4 - 285*m**3 + 5661*m**2 + 54621*m.
3*m*(m - 51)**2*(m + 7)
Factor -4*l**3 + 64596*l**2.
-4*l**2*(l - 16149)
Factor -f**2/2 + 10*f + 342.
-(f - 38)*(f + 18)/2
Solve c**2/2 - 25342*c + 321108482 = 0.
25342
Factor 5*x**5 - 1115*x**4 + 71400*x**3 - 988380*x**2.
5*x**2*(x - 102)**2*(x - 19)
Factor q**3 + 44*q**2 - 8399*q + 16614.
(q - 71)*(q - 2)*(q + 117)
Let -5*s**2 + 12185420*s - 7424223028820 = 0. Calculate s.
1218542
Solve 5*v**4 + 2695*v**3 + 51895*v**2 - 2695*v - 51900 = 0 for v.
-519, -20, -1, 1
Determine u so that u**3/4 + 163*u**2 + 141525*u/4 + 5113125/2 = 0.
-225, -202
Solve 5*s**3 - 2445*s**2 + 265995*s + 8256125 = 0.
-25, 257
Solve -2*t**4/7 - 236*t**3/7 + 2054*t**2/7 + 4808*t/7 + 360 = 0 for t.
-126, -1, 10
Let 3*y**2/7 - 1926*y/7 + 174291/7 = 0. What is y?
109, 533
Let 9*q**5 - 330*q**4 + 3157*q**3 - 6932*q**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
al places.
-3
Let j = -0.15588 + 0.172194. What is j rounded to 3 dps?
0.016
Let g = 1427 + -2877. Let i = g - -1450.000001778. Round i to 7 dps.
0.0000018
Let k be -5 - (-8)/24*21. Suppose -4*o + r - 1167 = 0, 3*o = -k*r + 5*r - 864. Round o to the nearest ten.
-290
Let f = 35720.9 + -36160.178. Let d = -439 - f. What is d rounded to two decimal places?
0.28
Let m = 0.9 + -0.94. Let r = -1.16 + m. Let j = r - 2.08. What is j rounded to one decimal place?
-3.3
Let v = 191.075 - 191.07396297. What is v rounded to 5 dps?
0.00104
Let u = 18242359 - 18242503.000685. Let m = -144 - u. Round m to four decimal places.
0.0007
Let z = -617 - -1594. Let v(h) = -2 - z*h - 174*h - 4. Let f be v(4). What is f rounded to the nearest 1000?
-5000
Let q = 0.45 - 0.397. Let j = -0.1448 + 0.0708. Let k = j + q. Round k to 2 decimal places.
-0.02
Let f = 0.093 - 0.0954104. Round f to four dps.
-0.0024
Suppose 11*k - 28045530 = 18254812. Let i = k - 13009122. What is i rounded to the nearest 1000000?
-9000000
Let y(m) = 6*m**2 - 10*m + 12. Let a be y(4). Suppose -66*n = -a*n + 6. Suppose 0 = -n*v - 196397 - 286603. What is v rounded to the nearest 10000?
-160000
Let r = -110911 + 68551. Let i = 86300 + r. Round i to the nearest one thousand.
44000
Let c = -24 + -19. Let w = c + 78. Let v = w + -34.999981. Round v to six decimal places.
0.000019
Let w = -2071950.8700105 - -2071886.87. Let y = -189 + 125. Let s = w - y. What is s rounded to 6 decimal places?
-0.000011
Let b = 86681 + -48320. Let x = -38361.0120084 + b. Let q = x + 0.012. Round q to six dps.
-0.000008
Let v be (-198)/(-45) + (-6)/(-10). Suppose -v*s - 109 = -6*s. Let d = 278 + s. Round d to the nearest ten.
390
Let y = -2928 + 2912.5. Round y to the nearest 1000.
0
Let j be (-302840)/(-339)*6/8*2. Let k = -3033 - j. Round k to the nearest 1000.
-4000
Let v = -0.07 - 0.41. Let q = 313.513 - 313. Let i = v + q. What is i rounded to 2 dps?
0.03
Suppose -24*n + 426530709 - 3962709 = 0. What is n rounded to the nearest 1000000?
18000000
Let s(y) = -5346*y + 2736. Let x be s(16). Round x to the nearest 100000.
-100000
Let c = -30.41969 - -30.581. Round c to two decimal places.
0.16
Let r = -117 + 117.0288. Let q = 0.0556 + r. Round q to two decimal places.
0.08
Let u = -53053 - -56061.7. What is u rounded to the nearest 100?
3000
Let d(t) = -t**3 + 6*t**2 + 2*t - 31. Let q be d(5). Let n be 580380/(-40) + (-2)/q. What is n rounded to the nearest one thousand?
-15000
Let d = -5415.0024823 + 5415. What is d rounded to 5 decimal places?
-0.00248
Let g(o) = 3*o - 47876*o**3 + 2*o - 3*o + 4. Suppose -6*s + 10*s = -3*n + 6, 0 = -n + 4*s + 2. Let m be g(n). What is m rounded to the nearest 100000?
-400000
Suppose -5*k - 1100740 = 2*v, -k = -0*v - 5*v + 220175. Round k to the nearest 1000.
-220000
Suppose -1738820 = -23*h + 22*h - 5*x, -3*x + 6955212 = 4*h. What is h rounded to the nearest ten thousand?
1740000
Suppose -5*d = -2*w - 2*w + 674634, -4*d - 539712 = -2*w. What is d rounded to the nearest ten thousand?
-130000
Let n be (-7 + 9)/(2/1349012*-2). Let f = 1281506 + n. Round f to the nearest one hundred thousand.
600000
Suppose 83*f = -4*o + 88*f - 191930, f = -2*o - 95958. What is o rounded to the nearest one hundred thousand?
0
Let i = 0.9241 - 3.4212. Let y = -0.052 + 2.552. Let z = y + i. Round z to 3 decimal places.
0.003
Let p = 3862.999964432 - 3863. What is p rounded to six dps?
-0.000036
Let y be (-118)/(-8) - 1/(-4). Let h(v) = -v**2 - 4*v + 8. Let g be h(2). Let d be ((-85)/y - g)/((-3)/(-5688)). Round d to the nearest 1000.
-3000
Let f = 989.9 + 186.1. Let z = 820042 + -818866.657. Let q = f - z. Round q to one dp.
0.7
Suppose 4*d = -j - 28, 0*d - 3*j - 36 = 4*d. Let x be 2915494 + (-4)/(d/(-3)) + 0. Let i = 9215492 - x. Round i to the nearest 1000000.
6000000
Let i = 0.1969 + 0.3884. Let h = i - 0.58532823. Round h to six decimal places.
-0.000028
Let n = -3705 + 3704.999956. Round n to 5 decimal places.
-0.00004
Let a = 0.0023 - -359.9977. Let f = -206 + a. Let g = -154.0000244 + f. What is g rounded to 6 decimal places?
-0.000024
Let d = -662 + 1243. Let q = 580.9999328 - d. Round q to 5 decimal places.
-0.00007
Let n = 617.346 + 4.654. Let b = -111.1 + -450.1. Let j = n + b. What is j rounded to the nearest 10?
60
Let q = 43 + -48. Let u(r) = r**2 + 7*r + 8. Let l be u(q). Let y be l/7 - 19815/105. What is y rounded to the nearest ten?
-190
Let v = 3645 + -3648.768. Round v to 1 dp.
-3.8
Suppose 261*g = 254*g - 5187. Round g to the nearest ten.
-740
Let g = 61800.6555 + -61855. Let z = -0.0555 + g. Let f = z - -57. Round f to 0 decimal places.
3
Let j = -5.4 - -7.6. Let s = -2.1991 + j. Let x = -0.2101 - s. What is x rounded to 2 dps?
-0.21
Let v = -1851133.243 + 1852694. Let p = v - 1561.5169873. Let i = -0.76 - p. Round i to 6 decimal places.
-0.000013
Let g be -2*(-4)/(-8)*1. Let h be (0 + 4)*(-1110)/g. Suppose -h = 5*x + x. What is x rounded to the nearest 100?
-700
Let f be 1 - (22990/(-6))/5*780. Suppose f = -5*t - 170259. Round t to the nearest 10000.
-150000
Let u(z) = -z**3 + 8*z**2 - 10*z + 5. Let v be u(2). Let t(j) = -1447*j**2 - 20*j - 13. Let d be t(v). What is d rounded to the nearest 1000?
-117000
Suppose -2*g - l + 33 = 2*g, -2*l - 38 = -5*g. Let z be 660/g*652/1. Suppose 2*c + 0*x + 5*x = z, -3*x = 6. Round c to the nearest 1000.
27000
Let q = 108944011594580.9600213 + -108943992232381. Let l = q + -19362195. Let i = l - 4.96. Round i to 6 dps.
0.000021
Let m = 3149.3 + -2976. Let h = 173.5786 - m. Let o = -0.28 + h. What is o rounded to three decimal places?
-0.001
Let h = -2533204 - -4439504. Round h to the nearest one hundred thousand.
1900000
Let r = -1715.900010839 + 1715.9. Round r to 7 dps.
-0.0000108
Suppose -6*v + 27 = 3. Suppose -v*l - 69586 = -3*l + 4*g, g = -2*l - 139200. Let y be 12/48 - l/(-8). What is y rounded to the nearest 1000?
-9000
Let r = 619 + -618.9509. Let p = r - 0.03479. What is p rounded to 3 decimal places?
0.014
Let j = 327 - -740. Let n = j + -1067.000551. Round n to 4 dps.
-0.0006
Let s be (-2)/(-12) - 2/((-24)/34). Suppose -4*g = 5*m - 1563990, 6*m + 1173008 = s*g + 2*m. What is g rounded to the nearest 100000?
400000
Suppose 54*y - 72 = 36*y. Let a be (-11)/((-55)/724475) + (y - -1). What is a rounded to the nearest one hundred thousand?
100000
Let b(t) = 35526*t**3 - 10*t**2 - 8*t - 8. Let h be b(-4). What is h rounded to the nearest ten thousand?
-2270000
Let x = 77 - 386. Let s = x - -308.9879. Round s to 2 decimal places.
-0.01
Let c = 42.65 - 0.65. Let t = c + -53.6. Round t to the nearest 10.
-10
Let w = 96.941 + -97. Let c = 268.966 - 269.0250073. Let v = w - c. What is v rounded to six decimal places?
0.000007
Let c(v) = 128890*v**3 + 3*v**2 - 11*v - 30. Let r be 2/(32/6 + -1 - 5). Let t be c(r). What is t rounded to the nearest one hundred thousand?
-3500000
Let v = -0.0271 + 0.0969. Let t = v - 0.06981655. What is t rounded to six decimal places?
-0.000017
Let f = 185.006655 + -185. What is f rounded to 3 decimal places?
0.007
Let s = 0.1139 - -494.8861. Let v = s + -489.82. Round v to 1 decimal place.
5.2
Let x be 2/15 - 6/45. Suppose x*u = -t + u - 75, 0 = -t - 5*u - 57. What is t rounded to the nearest ten?
-70
Let k = -115 + 74. Let f = 40.9475 + k. Let j = f + 0.052789. Round j to five decimal places.
0.00029
Let v = -1.8046 + 1.804582798. Round v to 7 dps.
-0.0000172
Let r = 1371 - 1370.9999957592. What is r rounded to six dps?
0.000004
Let y = -40929 + -27921. Round y to the nearest ten thousand.
-70000
Let m(u) = -164*u**3 - 4*u**2 - 13*u - 26. Let z be m(-8). Round z to the nearest ten thousand.
80000
Suppose 15410 = 3*g - 12184. Let f be (2 + g)/(-3 + 76/25). What is f rounded to the nearest 100000?
200000
Let l = 0.12706 - -1.29564. What is l rounded to two decimal places?
1.42
Let w = -650 - -645.47. Let p = -0.27 + w. Let m = p + 4.80000013. Round m to seven decimal places.
0.0000001
Suppose -26*z - 10 = -31*z. Suppose z*y - 6*y = -6361976. Let x = y - 300494. Round x to the nearest one hundred thousand.
1300000
Let v = 0.002 + -59.302. Let n = v + 59.30411. Round n to four decimal places.
0.0041
Let q = -16.286 + 16.06592. Round q to 2 dps.
-0.22
Let f = 36043.994443 + -35853.9943. Let x = 0.6919 + 189.3081. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ers picked without replacement from dbbdbdbbbdddd. What is prob of picking 4 b?
3/143
Calculate prob of picking 1 p, 1 j, and 1 q when three letters picked without replacement from pqpjrdjpqqrjjprdpop.
24/323
Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {f: 4, a: 3}.
12/35
What is prob of picking 3 j when three letters picked without replacement from jjjggjjjjjjjjgjjgjjj?
28/57
Calculate prob of picking 1 u, 2 j, and 1 e when four letters picked without replacement from hjzeujehee.
2/105
Calculate prob of picking 2 q and 1 i when three letters picked without replacement from ragrcaqqcqiaaqaqq.
3/136
What is prob of picking 2 d and 1 v when three letters picked without replacement from {v: 9, s: 4, h: 3, d: 4}?
9/190
Two letters picked without replacement from jtjtttjjsjj. Give prob of picking 1 s and 1 t.
4/55
Three letters picked without replacement from piipiiii. What is prob of picking 1 i and 2 p?
3/28
Calculate prob of picking 2 m and 1 p when three letters picked without replacement from mpmmmmmmmmpmmmmmpm.
105/272
Calculate prob of picking 2 w when two letters picked without replacement from pmmwmppmmmwpwmpwpp.
2/51
Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {y: 3, e: 6, h: 1, k: 3, f: 2}.
3/35
Two letters picked without replacement from {h: 12, i: 6}. Give prob of picking 2 h.
22/51
What is prob of picking 2 f when two letters picked without replacement from fvtfn?
1/10
Two letters picked without replacement from bbbbbwwwjbwbb. What is prob of picking 2 b?
14/39
Calculate prob of picking 1 v, 1 m, and 2 i when four letters picked without replacement from {v: 1, b: 2, i: 2, m: 2, c: 4, g: 1}.
2/495
Four letters picked without replacement from xxzggzxggxxggzz. Give prob of picking 2 g and 2 z.
6/91
What is prob of picking 1 f and 3 s when four letters picked without replacement from {s: 4, i: 2, t: 1, f: 8}?
32/1365
Three letters picked without replacement from bbddddbd. Give prob of picking 3 b.
1/56
Calculate prob of picking 1 o, 1 d, and 2 t when four letters picked without replacement from {d: 2, o: 2, t: 3, q: 5}.
4/165
Three letters picked without replacement from {m: 1, a: 4, y: 3, b: 3}. What is prob of picking 3 b?
1/165
Calculate prob of picking 1 t, 1 f, and 1 a when three letters picked without replacement from {t: 1, c: 1, a: 5, f: 4, v: 1}.
1/11
What is prob of picking 2 x when two letters picked without replacement from {x: 9, e: 3}?
6/11
Calculate prob of picking 2 e when two letters picked without replacement from uczezzuezcwezzuez.
3/68
Two letters picked without replacement from {f: 2, g: 4, v: 2, i: 1}. Give prob of picking 1 v and 1 g.
2/9
Two letters picked without replacement from {a: 4, j: 3, e: 2, g: 1, p: 7}. What is prob of picking 2 a?
3/68
What is prob of picking 1 w and 2 z when three letters picked without replacement from hzhzhcwfhfhfu?
1/286
Calculate prob of picking 1 n, 1 h, and 1 z when three letters picked without replacement from nhyzy.
1/10
What is prob of picking 1 k, 1 d, 1 u, and 1 r when four letters picked without replacement from klduuudkur?
8/105
What is prob of picking 2 k and 1 j when three letters picked without replacement from {j: 1, k: 17, x: 1}?
8/57
Calculate prob of picking 4 k when four letters picked without replacement from {k: 4, l: 1, m: 10, r: 1, j: 3}.
1/3876
Two letters picked without replacement from {n: 9, x: 3, s: 1, y: 1}. What is prob of picking 1 s and 1 y?
1/91
Four letters picked without replacement from wvivqvhv. What is prob of picking 1 h, 1 i, 1 q, and 1 w?
1/70
What is prob of picking 4 r when four letters picked without replacement from {d: 2, r: 7, u: 5}?
5/143
What is prob of picking 2 f, 1 u, and 1 j when four letters picked without replacement from {i: 2, u: 3, l: 1, j: 3, c: 1, f: 2}?
1/55
Four letters picked without replacement from {l: 5, m: 2, e: 5, i: 3}. Give prob of picking 2 m, 1 l, and 1 i.
1/91
Two letters picked without replacement from {p: 10, r: 1, v: 1, g: 1}. What is prob of picking 1 r and 1 p?
5/39
Two letters picked without replacement from {e: 1, h: 1, w: 1, y: 2}. Give prob of picking 2 y.
1/10
What is prob of picking 2 r and 1 n when three letters picked without replacement from rgnrgrgn?
3/28
Three letters picked without replacement from xbxcdxcxbb. What is prob of picking 1 x, 1 b, and 1 c?
1/5
Two letters picked without replacement from gggggggggfdfgfgg. What is prob of picking 2 f?
1/40
What is prob of picking 1 g and 1 z when two letters picked without replacement from glldzmm?
1/21
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from ueeeeeaeugaueeeegeae.
3/95
Calculate prob of picking 1 r and 3 n when four letters picked without replacement from rrrnnnr.
4/35
Four letters picked without replacement from ayahaayaaayaaeyaeah. What is prob of picking 3 y and 1 h?
2/969
Two letters picked without replacement from sbbryrssrb. Give prob of picking 1 r and 1 y.
1/15
Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {z: 1, t: 2, s: 2, l: 1}.
0
What is prob of picking 2 n and 1 u when three letters picked without replacement from {y: 1, q: 2, u: 12, n: 1, p: 1}?
0
Calculate prob of picking 2 c and 1 u when three letters picked without replacement from chuecuueftefc.
9/286
Calculate prob of picking 3 p when three letters picked without replacement from {q: 4, p: 10}.
30/91
Three letters picked without replacement from dtkmkwdt. Give prob of picking 1 k and 2 d.
1/28
Calculate prob of picking 1 g and 1 e when two letters picked without replacement from egrreeen.
1/7
Four letters picked without replacement from {v: 1, l: 5, t: 9, c: 3}. What is prob of picking 1 l, 1 t, 1 v, and 1 c?
3/68
Three letters picked without replacement from zzzfffz. What is prob of picking 1 f and 2 z?
18/35
Calculate prob of picking 1 x and 3 q when four letters picked without replacement from {q: 3, x: 5}.
1/14
Two letters picked without replacement from {q: 1, c: 7, v: 2}. Give prob of picking 1 v and 1 c.
14/45
What is prob of picking 1 s, 1 k, 1 d, and 1 g when four letters picked without replacement from {s: 4, g: 2, k: 2, d: 1}?
8/63
What is prob of picking 2 f when two letters picked without replacement from {y: 1, f: 5, g: 9, h: 5}?
1/19
What is prob of picking 1 v and 1 c when two letters picked without replacement from {k: 3, v: 5, c: 4, i: 1}?
10/39
What is prob of picking 2 o when two letters picked without replacement from {y: 2, m: 1, o: 5, n: 1, c: 2, b: 4}?
2/21
Two letters picked without replacement from iggigiii. What is prob of picking 2 i?
5/14
Two letters picked without replacement from llzllllzzzzz. What is prob of picking 2 z?
5/22
Calculate prob of picking 1 y, 1 v, and 1 f when three letters picked without replacement from {a: 1, c: 1, y: 1, f: 2, n: 2, v: 8}.
16/455
Three letters picked without replacement from phphppphfpwphpw. What is prob of picking 2 p and 1 w?
8/65
Four letters picked without replacement from mncncnnc. Give prob of picking 2 c, 1 m, and 1 n.
6/35
Three letters picked without replacement from xxxgxgx. What is prob of picking 2 x and 1 g?
4/7
What is prob of picking 2 d and 1 r when three letters picked without replacement from eeerdreehrfdd?
9/286
Four letters picked without replacement from xeexexux. Give prob of picking 4 x.
1/70
Calculate prob of picking 1 n, 1 f, and 2 i when four letters picked without replacement from aiaaaafinakflna.
4/1365
What is prob of picking 1 g and 1 t when two letters picked without replacement from ekgekglqlletggkqk?
1/34
Calculate prob of picking 2 r and 2 u when four letters picked without replacement from {p: 2, a: 2, r: 3, n: 2, u: 2, l: 1}.
1/165
Four letters picked without replacement from {l: 1, g: 3, v: 4}. Give prob of picking 1 l, 2 v, and 1 g.
9/35
What is prob of picking 1 y and 3 t when four letters picked without replacement from {t: 7, y: 1}?
1/2
Calculate prob of picking 1 w and 1 j when two letters picked without replacement from wvwjwwjjjvjjbjbj.
4/15
Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {m: 1, g: 14}.
2/15
Two letters picked without replacement from tjttisai
|
{
"pile_set_name": "DM Mathematics"
}
|
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