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-15*sqrt(11)
Simplify (sqrt(275) + sqrt(275)*-4*5)*-6 + -4 + 4.
570*sqrt(11)
Simplify (6*sqrt(153))**2*-2 - ((sqrt(17) - (5 + sqrt(17) + sqrt(68)/sqrt(4))**2) + (2*sqrt(119) + sqrt(119))/sqrt(7)).
-10923 + 16*sqrt(17)
Simplify -5 + 0 + sqrt(2299) + -4 - (0 + sqrt(684))*4*-2.
-9 + 59*sqrt(19)
Simplify (-4*3*2*(0 + sqrt(612)))**2.
352512
Simplify 4*(sqrt(3) + -2) + -3 - ((2 + sqrt(9)/sqrt(3) + sqrt(3))*-3)**2.
-155 - 68*sqrt(3)
Simplify (sqrt(441)*-4*-4)/(1*sqrt(252) + (sqrt(7) + sqrt(7)*-1)*-5).
8*sqrt(7)
Simplify -2 + (sqrt(63) + 1 + 3 + -5*(-1 + sqrt(63)) + -2)**2.
-168*sqrt(7) + 1055
Simplify (5 + (5*(sqrt(65) - (sqrt(65) - (sqrt(65) - -2*sqrt(65)))) + sqrt(65))/(sqrt(80)*-6))**2*3*5.
-100*sqrt(13) + 1385/3
Simplify 4*((2*(0 + sqrt(891) + sqrt(891)))**2 + ((2*sqrt(891))**2 + sqrt(891))*-6 + 1).
-28508 - 216*sqrt(11)
Simplify sqrt(55)/(-5*sqrt(11)*-1) - (sqrt(80)*-1 + sqrt(80) + sqrt(5) - sqrt(5) - (sqrt(80) - (0 + sqrt(80))))**2.
sqrt(5)/5
Simplify (2*(sqrt(11) - (sqrt(11) + (sqrt(11) + 0)*4))**2 + -2)*-5.
-1750
Simplify (-2*(-6*(sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 2)) - sqrt(2448)) - sqrt(2448)))**2 - ((1 + sqrt(2448))**2*-5 + (-5 + -1*sqrt(2448))**2).
-1152*sqrt(17) + 20140
Simplify (sqrt(26) + -4*-5*sqrt(26))/(sqrt(2) - sqrt(72)*-4) + -1.
-1 + 21*sqrt(13)/25
Simplify -2 + (2*sqrt(152) + sqrt(152))/sqrt(8) + (sqrt(171)*2 - sqrt(19)) + -5 + 5.
-2 + 8*sqrt(19)
Simplify ((2 + sqrt(208))**2 - sqrt(52)) + sqrt(52) + (-2 + sqrt(13))*3 + -5.
19*sqrt(13) + 201
Simplify ((sqrt(896) - 1*sqrt(896) - sqrt(56))/sqrt(2))/(sqrt(2304)*2).
-sqrt(7)/48
Simplify 4 + -2*((-1 + sqrt(125) - sqrt(125)) + sqrt(125)) + -1.
-10*sqrt(5) + 5
Simplify (sqrt(12)/sqrt(4) + 2 - sqrt(3))**2 + -5 + sqrt(24)/((sqrt(96)*-1)/sqrt(12)).
-sqrt(3) - 1
Simplify -4 + sqrt(72) + -3 + 4 + -5.
-8 + 6*sqrt(2)
Simplify ((-2*1*sqrt(88))/sqrt(8) + (6*(2*sqrt(1100) - sqrt(11)))**2)*-5.
-714780 + 10*sqrt(11)
Simplify (sqrt(350)/(1*sqrt(63)))**2 + sqrt(500)/(-1*sqrt(10))*2 + -5.
-10*sqrt(2) + 5/9
Simplify (2*(sqrt(13) + 1))**2*-5 - ((-2*sqrt(26) + sqrt(26))/sqrt(2) + (sqrt(143)*1)/sqrt(11))**2.
-280 - 40*sqrt(13)
Simplify ((-1 + -1 + 1*sqrt(176))**2 - -5*(sqrt(176)*-2 + -4))*-2.
-320 + 112*sqrt(11)
Simplify (5 + (sqrt(684) - -4*((sqrt(684) - -2*sqrt(684)) + sqrt(684))) + sqrt(684))**2 + 5*(-4 + (sqrt(684) + 1 + sqrt(684) - sqrt(684))**2) + -2.
1140*sqrt(19) + 225044
Simplify 2 + (-4 + -3*sqrt(11)*1*-5 + -5)**2.
-270*sqrt(11) + 2558
Simplify 4*((1*sqrt(176) - sqrt(176) - sqrt(176)) + -1 + 1).
-16*sqrt(11)
Simplify ((sqrt(204) - (sqrt(204) - (sqrt(204) + sqrt(204) + sqrt(204)*-2))*-1)/(sqrt(144)/(sqrt(24)/sqrt(2)))*-3 + -2)**2.
24*sqrt(17) + 616
Simplify 4*(5 + -5*((1 + sqrt(1377) - sqrt(1377)) + -3 + sqrt(1377)*-1*-4))**2.
-21600*sqrt(17) + 2204100
Simplify (sqrt(418)/((sqrt(22)*2)/sqrt(2) - sqrt(11)))/(sqrt(14)/(sqrt(7) - sqrt(28)/sqrt(100))).
4*sqrt(19)/5
Simplify -5*(-2 + sqrt(60)/(sqrt(12) + -1*sqrt(1200))).
5*sqrt(5)/9 + 10
Simplify -2 + 0 + (sqrt(117) + -2 + sqrt(117))*-3*5 + -2.
-90*sqrt(13) + 26
Simplify -4 + (5*3*sqrt(612)*4*4)**2.
35251196
Simplify 6*((sqrt(896)/sqrt(8))**2 + -2 + sqrt(7) + 5).
6*sqrt(7) + 690
Simplify (2*sqrt(12)*-1)/sqrt(4) + (sqrt(144)/(sqrt(6) + sqrt(216)))/sqrt(8).
-13*sqrt(3)/7
Simplify (sqrt(40)/(sqrt(16)/sqrt(4)))/sqrt(2) + sqrt(5) + 1 + sqrt(20) + (-1*sqrt(720))**2.
4*sqrt(5) + 721
Simplify ((-4*(-1*sqrt(88) + sqrt(88) - sqrt(88))*3)/(sqrt(32)*6*3))**2.
11/9
Simplify (1*sqrt(34))/sqrt(2) + -4*sqrt(85)/sqrt(5) + (sqrt(272) + 0)**2 + (-2*sqrt(2057))**2.
-3*sqrt(17) + 8500
Simplify (5 + -2 + -2 + sqrt(720))*6.
6 + 72*sqrt(5)
Simplify ((-4*(sqrt(170) + sqrt(170)*-3 + sqrt(170)))/(sqrt(250) + -4*sqrt(250)))**2.
272/225
Simplify ((sqrt(832) - sqrt(52)) + -3 + sqrt(52) + 4)**2 - (-3*(4 + 1 + sqrt(1573) - sqrt(1573)))**2.
16*sqrt(13) + 608
Simplify -5*(sqrt(102) - sqrt(102)*2 - sqrt(102))/sqrt(6) + (-3 + sqrt(17) + sqrt(85)/sqrt(5))*3.
-9 + 16*sqrt(17)
Simplify (sqrt(425)*2 + -2 + 1 + (sqrt(425) - (-2*sqrt(425))**2) + 3)*4.
-6792 + 60*sqrt(17)
Simplify ((3*sqrt(525) + sqrt(525))/(sqrt(112) + sqrt(112)*2 - sqrt(112) - sqrt(112)) + -2)**2.
-20*sqrt(3) + 79
Simplify sqrt(114)/(sqrt(294) + -5*sqrt(294) + sqrt(294)) - ((sqrt(19) - (sqrt(19) + sqrt(76)))*1 - sqrt(38)/(sqrt(32) - sqrt(2))).
16*sqrt(19)/7
Simplify (sqrt(6897)*-1)/(6*sqrt(21)/sqrt(7)) + 5.
-11*sqrt(19)/6 + 5
Simplify ((sqrt(100)/sqrt(4) - sqrt(25))*3*3)/(sqrt(40)/((sqrt(80)/sqrt(5) + sqrt(16))/sqrt(2))).
0
Simplify sqrt(130)/(sqrt(810)*-4) + sqrt(65)/(sqrt(405)/sqrt(9)).
11*sqrt(13)/36
Simplify (sqrt(11) + (1 + sqrt(99))**2 - sqrt(132)/sqrt(48)) + 0 - (sqrt(704)*-1 + -3)*-2.
-19*sqrt(11)/2 + 94
Simplify 5*((3*-2*sqrt(50))/(sqrt(90)/sqrt(81)))**2*-2.
-16200
Simplify 3*((3 + 4*(1*sqrt(68) - sqrt(68)))*1 + 2).
15
Simplify (sqrt(756) - 5*-1*sqrt(756))/(sqrt(3) + (sqrt(243) - sqrt(27))/sqrt(9) - (sqrt(48)/sqrt(2))/sqrt(8)).
18*sqrt(7)
Simplify (6*-3*sqrt(153))/((sqrt(90) + sqrt(90)*1)/sqrt(10)).
-9*sqrt(17)
Simplify (4*(((sqrt(832) + -1)*-1 - sqrt(832) - (sqrt(832) + (sqrt(832) + 2 + sqrt(832) - sqrt(832)))*-1) + -2))**2.
16
Simplify 1 + ((-4*sqrt(396)*-2)**2 - (sqrt(22)/sqrt(2) + 4 - sqrt(99)/(sqrt(18)/sqrt(2)))) + -5.
25336
Simplify 4 + ((sqrt(110) - 5*2*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110) + (sqrt(110) - -1*-2*sqrt(110)) + sqrt(110))/(2*sqrt(90)*-3).
5*sqrt(11)/9 + 4
Simplify ((-1*2*sqrt(132))/sqrt(4))/((4*-1*sqrt(110))/sqrt(10))*-6.
-3*sqrt(3)
Simplify (sqrt(5000) - (sqrt(5000)*-3 - sqrt(5000)))/(-3*sqrt(490)).
-50*sqrt(5)/21
Simplify (sqrt(200)*2 - sqrt(200)) + -2 - (sqrt(7200) + (sqrt(7200) + sqrt(7200) + sqrt(7200) + 1)*6)**2.
-2599238 - 13670*sqrt(2)
Simplify ((1*sqrt(1078))/(sqrt(396)*-3)*1)**2.
49/162
Simplify 4*(sqrt(539) - (((sqrt(539)*1 - sqrt(539)) + sqrt(539))*3)**2) - 4*-5*-2*sqrt(539).
-19404 - 252*sqrt(11)
Simplify -2*(sqrt(117)*2 + 3) - (3 + (-2*sqrt(143) - sqrt(143))/sqrt(11) + sqrt(13) + 5*(sqrt(52) + sqrt(13)))**2.
-2212 - 90*sqrt(13)
Simplify (-3*(sqrt(272)*2*-1 + 1*sqrt(272) + 2))**2.
-144*sqrt(17) + 2484
Simplify (3*(sqrt(200) + 0) + sqrt(200))**2 - (0 + 5*(sqrt(6)/sqrt(3) + sqrt(2) - sqrt(2))**2).
3190
Simplify sqrt(567) + 1 + -5 + (sqrt(567) + 1)*-2 + (sqrt(567) + 1*sqrt(567)*2 - (sqrt(567) + -1)*-3).
-9 + 45*sqrt(7)
Simplify -1*-5*sqrt(190)/sqrt(40) + ((((sqrt(171) - (sqrt(171) - (-1*sqrt(171) + sqrt(171) - sqrt(171)))) + sqrt(171))/sqrt(9) + sqrt(19) + -5)*2)**2.
-75*sqrt(19)/2 + 176
Simplify sqrt(12)/(sqrt(4) - sqrt(256)*-1) - (-3*(sqrt(243) + 2))**2.
-2223 - 2915*sqrt(3)/9
Simplify -2 + ((-5*(sqrt(833)*4 - sqrt(833)) - (sqrt(833)*-3 + -4 + sqrt(833) - sqrt(833) - sqrt(833) - sqrt(833))) + -2)**2.
-280*sqrt(17) + 83302
Simplify 1*(sqrt(20) - sqrt(20)*6) + (5 + sqrt(500) + -6*sqrt(500))**2.
-510*sqrt(5) + 12525
Simplify ((sqrt(98) - -2*sqrt(98)*-2)**2 + sqrt(98)*-1*-3)*-6.
-5292 - 126*sqrt(2)
Simplify (3 + sqrt(12)/sqrt(6) + sqrt(2) + -1 + -3)**2*3.
-12*sqrt(2) + 27
Simplify ((-1*sqrt(68) + 2 + sqrt(68))**2 - (sqrt(170)/((sqrt(100)*2)/sqrt(10)))**2) + -5.
-21/4
Simplify (1*sqrt(468))**2*-4 - (sqrt(468)*-2 + 4)**2 - (sqrt(468) + 0 + 2 - ((sqrt(468) - (0 + sqrt(468)))**2 + -4)).
-3766 + 90*sqrt(13)
Simplify -2 + 2 + (sqrt(5) - (sqrt(5) + sqrt(20))**2) + sqrt(5) - ((sqrt(125) + 1)**2 + -4).
-167 - 8*sqrt(5)
Simplify 3*(sqrt(171) + (-3*sqrt(171)*-1 - sqrt(171)) + sqrt(171))/(sqrt(9) - (sqrt(9) + -5*sqrt(36) - sqrt(9))).
12*sqrt(19)/11
Simplify ((sqrt(70) + 1*sqrt(70) - sqrt(70))/sqrt(10) + sqrt(7) + sqrt(28)/sqrt(4)*3 + 6*sqrt(140)/sqrt(5))**2.
2023
Simplify (-5 + (sqrt(153) + 0 + (sqrt(153) - (3 + sqrt(153))) - sqrt(153) - -3*sqrt(153)*1))**2.
-144*sqrt(17) + 1441
Simplify ((sqrt(1872)*-2 + -1 - (sqrt(1872) + -1*(sqrt(1872) + sqrt(1872)*-2) + sqrt(1872))) + -2 + -1)**2 + 3.
480*sqrt(13) + 46819
Simplify ((sqrt(320) + 0)*5 + 0)**2 + 1*(sqrt(320) + sqrt(320)*-3)*3.
-48*sqrt(5) + 8000
Simplify (-3*sqrt(297) - (2*sqrt(66))/sqrt(2))/((sqrt(1331)*1 + sqrt(1331))*3).
-sqrt(3)/6
Simplify ((-2 + sqrt(325) - sqrt(325)) + -5)**2 - (-4 + -5 + -1 + sqrt(13)).
-sqrt(13) + 59
Simplify -6*(-1 + ((sqrt(162) + 2*sqrt(162) - sqrt(162) - sqrt(162)) + 5 - (sqrt(162) - -2*sqrt(162))*-3))**2*-6.
25920*sqrt(2) + 583776
Simplify (-3 + sqrt(847) + (sqrt(847) + 2 - sqrt(847) - sqrt(847)) +
|
{
"pile_set_name": "DM Mathematics"
}
|
*v + 5*v)*(5*v + 300 - 300).
-40*v**3 - 40*v**2
Expand (22*w**3 - 5*w**3 + 6*w**3)*(-3 + 3 + 1)*((w + w - 3*w)*(8 - 7 + 6) - 5*w + 3 - 3).
-276*w**4
Expand (14*r**3 + 7*r**3 + 44*r - 18*r**3)*(1 - 1 - 2)*(-3*r + 3*r + 2*r**2).
-12*r**5 - 176*r**3
Expand (5 - 3 - 4)*((-4*m**3 + 3*m**3 + 3*m**3)*(3 - 4 + 13) + (-356 - 40*m + 356)*(3*m**2 + 0 + 0)).
192*m**3
Expand 0*f**3 + f**5 + 0*f**3 + (-1 - 2*f + 1)*(-38*f**4 + 21*f**4 + 15*f**4) + 77 - 77 - 55*f**5.
-50*f**5
Expand (-39 + 25 + 22)*(2 - 3 + 8)*(-f + 1 - 1).
-56*f
Expand (3*f**2 + f**2 + 12*f**2)*(-85*f**2 - 104*f**2 + 121*f**2).
-1088*f**4
Expand ((-5 + 1 + 1)*(-1 - 2*l + 1) + 0*l + l + l - 2*l + 5*l - 4*l + 0*l + 2*l - 3*l)*(-5586*l + 4*l**2 - 5*l**2 + 5653*l - 1).
-6*l**3 + 402*l**2 - 6*l
Expand 666 + 619 - 23393*x - 1285 + (1 + 0 + 0)*(-4 - x + 4).
-23394*x
Expand -91*v**3 + 79*v**3 + 404*v**3 + 154*v**3 + 64*v**3 + (-2*v**2 - 4*v**2 - 2*v**2)*(-2 - 2*v + 2).
626*v**3
Expand (699902*z - 699818*z - 15 + 32)*(-4*z + 7*z - 2*z).
84*z**2 + 17*z
Expand -63 + 27*p**3 + 63 + (p + 2*p + p)*(-4*p - 32*p + 14*p)*(1 - 1 + 2)*(0 + 0 + 2*p).
-325*p**3
Expand (290*y + 42 - 42)*(1 - 5 + 3*y + 3 + (0 - 1 - 1)*(2*y + 2*y - 5*y)).
1450*y**2 - 290*y
Expand -9 + 51*w + 9 + (1 + 2 - 1)*(-6*w - 3*w + 22*w).
77*w
Expand 5*d**5 - 19*d**5 - 9*d**5 + 1210*d**4 + 43*d**5 - 1210*d**4 + (4*d**4 + 2*d**4 - 5*d**4)*(2*d + 2 - 2).
22*d**5
Expand (b**2 + 0*b**2 + 0*b**2)*(0*b**3 + 4*b**3 - b**3) - 3*b**3 + 4*b**5 + 3*b**3 + (-4*b - 7 + 7)*(3 + b**4 - 3) - 7*b**5 + 3*b**4 - 3*b**4.
-4*b**5
Expand (-n + 0*n + 0*n)*(-n + 43701 - 48*n**2 - 43685 + 39*n**2).
9*n**3 + n**2 - 16*n
Expand -4 + 4 + o**2 - o**2 - 1 + 1 + (-2*o + 0*o + 4*o)*(-2*o + 0*o + 4*o) + 4*o**2 - o**2 + 3*o**2 - 2*o**2 + o**2 - o**2 + 2*o**2 - 3 - 1 - 5*o**2.
5*o**2 - 4
Expand 37 + 50*u**3 - 37 + (-u - 2*u - 3*u)*(-26*u**2 + 96 - 96).
206*u**3
Expand (-2*j**3 - 2*j**4 + 2*j**3 - j**2 + j**2 + j**4 + (408*j**3 - 408*j**3 - 64*j**4)*(-1 - 4 + 2))*(3*j - 5*j + 0*j).
-382*j**5
Expand ((-9 + 25 - 18)*(-1 - 2*k + 1)*((-2 + 2 + 1)*(1 + 0 - 3) - 2 + 1 - 1) + 0*k + 0*k - k)*(-418*k - 21*k**4 + 418*k).
357*k**5
Expand (4*u + 9 - 25 + 7)*(8*u**2 + 10*u**2 + u**2).
76*u**3 - 171*u**2
Expand (1 - 1 - b)*(-15 + 33 + 31)*(0 + 2*b + 0).
-98*b**2
Expand (-m - 2*m + 2*m - 1)*(2 + 0 + 0)*(-87 - 43 + 35) + m + 2*m + 0*m.
193*m + 190
Expand (40 - 40 + 51*a)*(63*a - 2*a**3 - 85*a - 43*a).
-102*a**4 - 3315*a**2
Expand -2*s - 5*s**2 + 3*s**2 + 3*s + (-s + 6*s + 0*s)*(-50*s + 95*s + 450*s).
2473*s**2 + s
Expand 3*a**3 - 1 + 1 + (-2 - 1 + 2)*(9801 + 190*a**3 - 9801) + 3*a**3 + a**3 - 3*a**3 + a - a + 2*a**3.
-184*a**3
Expand (175 + 20 - 93)*(2 - 2 - 1)*(h - h**5 - 7 - 2 + 8).
102*h**5 - 102*h + 102
Expand (2 - 3 + 0)*((140 - 140 + 152*n**2)*(0*n + 4*n - 3*n) + (-3 + 4 + 1)*(n**3 + n**2 - n**2) - 1 + 1 - n**3 + 0*n + 0*n + 2*n**3).
-155*n**3
Expand 162*z**3 - 325*z + 324*z - 59*z**3 + (3*z**2 - 7*z + 7*z)*(-4*z - 6*z - 3*z).
64*z**3 - z
Expand (m**3 - 7*m**3 + 5*m**3)*(-61*m + 70*m + 85*m)*(4*m - 6*m + 5*m).
-282*m**5
Expand -n**5 - 35*n**5 - 37*n**5 + ((-4*n**3 + 2*n**3 - n**3)*(-2*n - 1 + 1) - 3*n**4 - 2*n**4 + 3*n**4)*(-23*n - 26*n + 16*n).
-205*n**5
Expand -452*z - 242*z + 181*z + (3 - 2 - 3)*(-1 + z + 4*z - 4*z).
-515*z + 2
Expand t**3 - 6*t**3 + 3*t**3 + (-3*t + 3*t + t)*(t - t - 3*t**2) + (-212*t + 6 + 271*t - 4)*(-12*t**2 - 74*t + 74*t).
-713*t**3 - 24*t**2
Expand 0*u - u - u + (-6 - 12 + 5)*(0*u + u - 2*u) + (-4 + 2 + 1)*(399*u + 26833 - 26833).
-388*u
Expand (-a**3 + 1 - 1)*(-16*a**2 + 0*a**2 - 19*a**2) + 1264*a**2 - 1264*a**2 + 42*a**5.
77*a**5
Expand (7 - 78 + 2242*p**3 - 2241*p**3)*(1 + 5 + 4).
10*p**3 - 710
Expand (0*f**3 - 3*f**3 + 4*f**3)*(-17*f - 21*f + 4*f)*(-30 - 32 + 78).
-544*f**4
Expand (-z**3 - 2*z**3 + 2*z - 5 + 4)*(-z**2 - 3*z**2 + 5*z**2)*((-1 + 1 + 1)*(3 - 2 - 3) + (1 - 10 + 1)*(2 - 1 - 5)).
-90*z**5 + 60*z**3 - 30*z**2
Expand (3*o - 6*o + 0*o)*(-3467470*o + 3467470*o + 4767*o**2).
-14301*o**3
Expand (2*m + 3*m - 4*m)*(-1 + 1 + 3) + (76 + 75 - 115)*(-2*m + 3*m - 3*m)*(3 - 5 + 0).
147*m
Expand (2*w - 2*w - 4*w)*(165 - 559 - 1733).
8508*w
Expand (-805 - 125*m + 805 + (-4*m + 0*m + 6*m)*(0 + 0 - 1))*(3*m**2 + 2*m**2 + m**2).
-762*m**3
Expand (2*s + 2*s + s)*(-11*s - 6*s + 15*s)*(-17*s**2 + 27*s**2 + 33*s**2).
-430*s**4
Expand (2 - 2*n + 3*n + n)*(76 + 19*n - 6*n**2 - 74 + 2*n**2).
-8*n**3 + 30*n**2 + 42*n + 4
Expand 2*m**2 - 2*m**2 - 2*m**4 + (0*m**3 + 3*m**3 - 2*m**3)*(806*m + 753147 - 753147) - 6*m**4 + 3 - 3.
798*m**4
Expand (-89*g + 17*g**2 + 89*g)*(-32*g**2 + 453 - 453 + (2*g - 5*g + g)*(0*g + 0*g + g))*(2*g - 2*g + g).
-578*g**5
Expand -q**2 + q**2 - 3*q**2 + 0*q**2 + 2*q**2 - q**2 + (2 - 4 + 3)*(2*q**2 + 0*q**2 - q**2) + 2*q**2 - 9 - 2 + 6*q + 7.
q**2 + 6*q - 4
Expand 70*b - 147*b - 1754*b + (2 - 5 + 2)*(b + 4*b - 6*b).
-1830*b
Expand (4*z**2 - 5*z**2 + 0*z**2)*(-1 + 1 - 2*z) + (-22*z + 301 - 600 + 304)*(z**2 - z**2 + 2*z**2) + 2*z**3 - 3*z**3 + 0*z**3.
-43*z**3 + 10*z**2
Expand (-a + 0 + 0)*(10 + a - 10) + (3*a - 3*a - 2*a)*(0 + 0 - 2*a)*(1 - 1 + 3)*(-4 - 2 + 2)*(7 - 1 - 1).
-241*a**2
Expand (-416*s - 411*s + 852*s + 9 + 13)*(8*s + 13*s - 8*s).
325*s**2 + 286*s
Expand (320*h**3 - 320*h**3 + 49*h**5)*(-13 - 7 - 12).
-1568*h**5
Expand ((0 - 3 + 6)*(-2*p + 2 - 2) - 3 - p + 3 + 1 + 2*p - 1 + (2*p - 6*p + 3*p)*(3 + 0 - 5) - p + 4*p - 2*p)*(-4 + 86 - 37).
-90*p
Expand (0 - v**2 + 0)*(-11 + 11 - 62*v)*(2*v - 29 + 29)*(3 - 5 + 3)*(7 + 1 + 0).
992*v**4
Expand (0 - 5 + 4 + (-2 - 2 + 3)*(3 - 2 + 0))*(-5*r - 3*r + 3*r) + 5*r - r + 3*r - 3*r + 2*r + 2*r + (-r + 2 - 2)*(0 - 4 + 6).
16*r
Expand 1 + 2*m - 2*m**2 - 1 - 3*m**2 + 7 - 7 + (3*m**2 + 0*m**2 - 5*m**2)*(1 + 2 - 2) + 3*m**2 + 5*m**2 + 22*m**2.
23*m**2 + 2*m
Expand (-b + b - b**2)*(b - 2*b + 0*b) - 230324 - 14667*b**3 + 230324 - 3946*b**3.
-18612*b**3
Expand (1196*m + 291*m + 175*m)*(m**4 - m**4 - 2*m**4).
-3324*m**5
Expand (-492 + 40*v + 492)*(0 + 7 - 2)*(-v + 2*v - 3*v) + (v + 4 - 4 - 2*v - v + 5*v + (1 + 4 - 4)*(0*v - v + 0*v))*(3 + v - 3).
-398*v**2
Expand (4*m - 17*m + 8*m + (-m - m + 4*m)*(2 - 4 + 0))*(-1 - 2 + 7)*((2 - 4 + 3)*(4*m - 4*m + 2*m) - m - 5 + 5)*(3 - 4 + 3).
-72*m**2
Expand (1 + 4 - 4)*(-72 + 59 - 35)*(4 - 4 - 13*f).
624*f
Expand 103*j + 122 - 122 + 2982*j + (-4 + 4 - 2)*(-3*j - j + j).
3091*j
Expand (l - l**2 - l + (4*l - 4*l + 2*l)*(-3 + l + 3) - l**2 - 3*l**2 + 6*l**2 + 2*l**2 - 2*l + 2*l)*(-2294*l**3 + 19380*l**2 - 19380*l**2).
-11470*l**5
Expand (8*i - 7*i + 6*i)*(2 - 5 + 1)*(-27 - i + 15 + 13)*(10 - 3 - 1).
84*i**2 - 84*i
Expand (-313*u**2 + 159*u**2 + 158*u**2 - 9*u)*(15 + 8*u - 22*u + 15*u).
4*u**3 + 51*u**2 - 135*u
Expand (11 - 1 - 6)*(-5*d**2 + 3*d**2 + 4*d**2)*(-41*d + 29*d**2 + 41*d + (2 - 8*d - 2)*(0*d + 2*d - 4*d)).
360*d**4
Expand (19 - 28 - 9)*(8*s**2 - 8*s**2 + 7*s**5 + 9*s**5).
-288*s**5
Expand (-3*c + c - 4*c)*(-2*c - 2*c + 5*c) - 5*c**2 + 3*c**2 - 13*c**2 + (3 + 1 - 3)*(-2*c**2 + 0*c**2 + 4*c**2) - 3*c**2 + 5*c**2 - 3*c**2 + 5 + 1 - 1 + c**2.
-19*c**2 + 5
Expand w**2 - w**2 - 2*w**2 - 8*w + 8*w + 13*w**2 + w**2 + w**2 - 3*w**2 + (-w + w + 2*w**2)*(-4 + 5 + 1) + 0*w**2 + 3*w**2 - 6*w**2 - 5*w**2 - w**2 - w**2.
4*w**2
Expand (4 + 3 + 5 + 17)*(-82*b + 18*b - 7*b).
-2059*b
Expand -8*i**2 + 8*i**2 + 21*i**4 - 3*i + 2*i**4 + 3*i + (3*i**3 - 2*i**3 + 0*i**3)*(i + 2*i - 2*i) - 192*i + 47*i**4 + 192*i.
71*i**4
Expand (-7 - 116*o + 170*o - 120*o)*(-3*o + o + o).
66*o**2 + 7*o
Expand (16*q + 708 - 708)*((-1 + 2 - 2)*(-1 + 2 - 2) + 2 + 6 - 5 + (-1 - 2 + 5)*(0 + 4 + 9)*(4 + 0 - 2)).
896*q
Expand (-17*u + 46*u - 13*u)*(50*u - 228*u - 366*u).
-8704*u**2
Expand (253 + 87 + 213)*(-h + 4*h - h) + 5*h + 4*h - 5*h.
1110*h
Expand (3*x + 99 + 38*x - 47*x)*((5 - 3 - 3)*(-x - 3*x + 3*x) - 3*x - 2*x + 3*x)*(-2*x**3 + 4*x**3 + 0*x**3).
12*x**5 - 198*x**4
Expand (0 + u**2 + 0)*(3*u - 10 + 10)*(-32 + 55*u - 52*u - 76*u**2 + 28).
-228*u**5 + 9*u**4 - 12*u**3
Expand (18*l - 25*l - 76*l)*(477*l**3 + 5*l**4 + 59*l**2 - 477*l**3).
-415*l**5 - 4897*l**3
Expand (3*v + 102 - 106 + v)*(2*v - 2*v + v) - 2 + 2 - 2*v**2 + (-3*v - 10 + 10)*(-v - 3*v + 2*v) + 9 - v**2 - 9.
7*v**2 - 4*v
Expand (-5*f - 4*f + 10*f + 2*f**2)*(3 - 2 + 2) + (0*f**2 - 4*f**2 + 2*f**2)*((-3 - 1 + 2)*(-1 - 2 + 4) - 5 + 10 + 2).
-4*f**2
|
{
"pile_set_name": "DM Mathematics"
}
|
0.68 + 0.02. Let y = 176256 - 176247. Which is the closest to g? (a) y (b) -1/2 (c) 0
c
Let u = -1.66 - -1.69. Let l = -0.43 + u. Let i be 3/(-1)*8/(-108). What is the closest to i in l, -0.2, -0.1?
-0.1
Let u be ((-5)/(-7))/(19910/1448). Which is the closest to 0.1? (a) -4 (b) -3 (c) u (d) 0.2
c
Let v = -0.1 - -0.3. Let n be (-590)/826 + 144/(-63). Which is the closest to -3? (a) n (b) -4 (c) v
a
Let t be ((-14)/(-24) - 5/15)*44. Suppose -130 = -37*q + t*q. Suppose -2*n - 2 = -0. What is the nearest to -2 in n, q, -5?
n
Let n = 262 - 626. Let o = n - -368. Which is the nearest to -2? (a) o (b) -7/2 (c) -1/4
b
Let j be ((-6)/10*(-14 - (-3859)/306))/((-30)/54). Let p = 0.3 + 0.7. Which is the closest to -2/5? (a) j (b) -5 (c) p (d) 3/5
d
Let t = -220.2 + 220. Let i = -7/2 + 4. What is the closest to t in 4, i, 0?
0
Let u = -0.02 - -0.1. Let o(q) = -5*q**2 - 56*q - 118. Let t be o(-3). What is the nearest to 1 in 0.1, t, u?
0.1
Let a be (1 - 0)*1 - -1. Suppose 18*c = -16 - a. Let b = 34 + -32.3. What is the closest to -4 in 2, b, c?
c
Let w be -5*(-2 - 4/(-4)). Suppose 2*o - 2*r - 11 = -5, 31 = -3*o - w*r. Suppose -3*m + 12 - 3 = 0, -2*m = -4*u - 10. What is the closest to u in 3/5, o, -1/9?
-1/9
Suppose 3*y - 4*y = x, -2*x = 0. Let g = 4.943 + -5.15. Let m = -1.793 + g. Which is the closest to y? (a) -1 (b) 1/2 (c) m
b
Let m = 1854.4 - 1854. What is the nearest to 2/11 in -11, 0.2, m?
0.2
Let v be 4/28 + 39/21. Suppose 0 = 2*t - x - 2 - 1, -4*t - 2*x = -v. Let d be (8/(-20))/(33/30 - t). What is the nearest to d in -5, 2, -4?
-4
Let z = 6248 - 6247.7. What is the nearest to -1/3 in -2/7, -0.1, z, 40?
-2/7
Let h = 3655 + -3655.1. What is the nearest to 2/11 in 5, -41, h?
h
Let h = -1758 - -2689. Let w = h + -935. Let i(y) = y**2 + 6*y + 5. Let s be i(-4). What is the closest to 1 in s, -1, w?
-1
Suppose -109*a = 24*a + 55*a. What is the closest to a in 0.5, 4/5, 5/2, 2/25?
2/25
Let s = -5710 + 5710. Which is the nearest to -0.025? (a) s (b) -5 (c) 2/3
a
Let k = 28 + -25. Suppose -2*p - k*d - d + 48 = 0, 5*d = -4*p + 84. Which is the closest to 1? (a) p (b) 0.2 (c) 0.1
b
Suppose -6*m + 4*d + 19 = -5*m, 0 = -m + 5*d + 23. What is the nearest to -1 in -0.3, 0.1, -0.03, m?
-0.3
Let q = 1.9554 + -1.5554. What is the closest to 0.3 in 5, -1/4, -691, q?
q
Let p = 12569/31385 - 3/6277. Which is the closest to -10? (a) p (b) 2 (c) -7 (d) -6
c
Let u be (-4)/8 + 2/20. Suppose 722*m - 192*m = 611 - 81. Let w = 0.3 - 0.6. Which is the nearest to m? (a) u (b) 1 (c) w
b
Suppose 0 = -4*w - 4*s + 8, 3*w + 5 = 4*s + 4. Let z be (76/528)/(1/3) - (-26)/(-104). Let c = 0.04 + 2.96. What is the nearest to c in z, w, 0.5?
w
Let n = -6752 + 6750. Let h = -0.7 + -0.3. Let o = 54.13 + -54. Which is the nearest to h? (a) n (b) o (c) 3
a
Let o = -0.0283 + -3.9717. Let j = 5 + -1. Which is the closest to 2/3? (a) o (b) 0 (c) j
b
Suppose 0 = 9*l - 6*l - l + 2. Which is the nearest to -0.2? (a) -2/3 (b) -0.3 (c) l (d) 79
b
Let j = -143.106 - -0.106. Let l = j + 153. Which is the nearest to -0.1? (a) l (b) 1/7 (c) -0.1
c
Let p = -46.026 + 0.026. Let u = p - -46.4. What is the nearest to 18/11 in u, 2, 3?
2
Let l be ((-12)/(-8))/(2/8). Let j = -2.774 + 3.074. Which is the closest to l? (a) j (b) 0 (c) -2/9
a
Let m = -1350.599 - -1349.599. Let d(p) = -p**2 - 5*p + 10. Let f be d(-7). Let u = 0.1 + -0.1. Which is the nearest to 0.1? (a) f (b) u (c) m
b
Suppose 0 = 213*m - 78*m - 76*m - 118. Which is the nearest to -2/3? (a) m (b) 20 (c) -1
c
Let t = -2116 - -2116. What is the nearest to t in 0.11, 0, 0.08, -3?
0
Let n be 20/14*(-126)/(-72)*2. Suppose 3*j = -3*w, -n*j + 7 = -4*w - 2. Which is the closest to j? (a) -3/5 (b) -2 (c) -4/7
c
Let z = -3.96 - -2.96. Let j = 25 + -24.97. Let i = j - 5.03. Which is the nearest to z? (a) i (b) 0.3 (c) 5
b
Let i = -1/5 + -3/10. Let h = 93 - 51. Let w = 47 - h. Which is the nearest to i? (a) w (b) 1 (c) -11
b
Let s = 0.632 - -0.008. Let g = s - 0.54. Let j = 48.1 - 48. What is the closest to j in 1/8, 3, g?
g
Let v = -0.1204 + 0.1204. Let i = -166/7 + 164/7. Which is the closest to v? (a) 28 (b) -2/3 (c) i
c
Let q = -1.4 - -0.4. Suppose -8*f = 41*f + 3*f - 156. What is the closest to f in -0.2, q, 3?
3
Suppose 18*i + 4*n = 16*i + 20, 2 = 3*i - n. What is the closest to -0.3 in 0.2, 256, i?
0.2
Let r = 0.06171 - 5.42071. Let g = r - -0.359. Which is the closest to 0? (a) -2/13 (b) 4 (c) g
a
Suppose -13*i - 14*i - 432 = 0. Let m be (3/(-27))/((-8)/i). Which is the closest to m? (a) -68 (b) 1 (c) 5
b
Let x = -31227 + 31214. Let c = -130/3 + 44. Let h = 13/38 + 3/19. What is the closest to c in x, -1, h?
h
Let n = 125 + -130. Let i = 2.4 + -19.4. Let z = -18 - i. Which is the closest to 0.1? (a) z (b) n (c) -3/2
a
Let i = 2.02 + -0.02. Let t = -144.338 - -143.338. Which is the nearest to t? (a) 3/5 (b) i (c) 5
a
Let p = -75 - -374/5. Let z = -42 + 49.1. Let x = z - 7.2. What is the closest to p in -0.2, x, 0.2?
-0.2
Let h = 0.1817 + -0.5817. Let k = -4.06 - -0.06. Which is the nearest to h? (a) 2/9 (b) k (c) -4/7
c
Let f = 30.62 + -29.6. Let r = -2.02 + f. Which is the closest to r? (a) -2/5 (b) -2/9 (c) 11
a
Let x = -139 + 140. Let g = -567/4 - -142. What is the closest to g in x, -1, 0.07?
0.07
Suppose 3*i + 8*i + 220 = 0. Let p be 3337/(-748) - (-3 + (-45)/i). Let b = p - -60/17. What is the closest to b in -3/2, 2/23, 2/7?
2/23
Let q = 529/558 - 45/62. Which is the closest to -1/5? (a) 35 (b) -0.3 (c) q
b
Let t be (-14)/49*147/308. Which is the closest to 0.1? (a) t (b) -2/7 (c) 5/4
a
Let u(r) = -100*r**2 - 143*r + 837. Let q be u(7). Which is the closest to q? (a) -4 (b) 1/2 (c) -1/4
a
Let x = -12633 + 88437/7. Which is the nearest to 1/3? (a) 2/7 (b) -11/12 (c) x
a
Let g = 1.08 - 56.08. Let j = 58 + g. Let t = -0.13 + 0.13. What is the closest to -1 in 1/5, t, j?
t
Let x = 22986/5 + -4597. Suppose 4*h = 3*h + 4. Which is the nearest to 0.01? (a) 5 (b) x (c) h (d) 1/2
b
Let d = 634 + -634.1. Let g = -5.2 - 7.8. What is the closest to d in g, 0, 4?
0
Let p be (1/5)/(108/240). Suppose -6*c - 22 = 26. Let u = 8 + c. What is the nearest to u in p, 2, -1.3?
p
Let j = 2033 - 1937. Let i(w) = w**2 + 3*w - 3. Let k be i(0). Which is the nearest to -0.1? (a) j (b) 1/5 (c) k
b
Let l = 40 + -7. Let o = l + -32. Let d = -1.9392 + 0.0392. Which is the closest to o? (a) -2/7 (b) d (c) 1/4
c
Let k = -7.32185 + 7.62185. Let f = -20 + 0. What is the closest to k in 1/7, -5, f?
1/7
Let r = 626 + -626.267. Let t = 0.667 + r. Which is the nearest to -8? (a) 4 (b) -2 (c) 3 (d) t
b
Let o = -344.4 + 343.7. Which is the closest to -1? (a) 0.4 (b) 0 (c) o
c
Let c = -7943.5371 + 7944. Let x = -0.0629 + c. What is the nearest to x in -4, 0.4, -2, 0.5?
0.4
Suppose 8*k + 468 = -3*p + 5*k, -4*p - 626 = 3*k. Let r = -475/3 - p. Let o = -5 - -3. What is the closest to r in 5, o, -3?
o
Let p = -171 + 351. Let t = -179.8 + p. Which is the closest to -11? (a) t (b) 5/4 (c) -1
c
Let r = -805/1341 - -2/6705. Which is the closest to 1/2? (a) r (b) 5 (c) -381/7 (d) -0.4
d
Let s = -386/119 + 26/17. Let i = -29/14 + -1/14. Let k = s - i. Which is the nearest to 1? (a) -2/3 (b) 3 (c) k
c
Let t = -5234 - -41873/8. What is the closest to 1 in t, 5, 21/8?
t
Let k be (-5 - 371/(-77)) + (-532)/(-22). Suppose 9*c = 6 - k. What is the nearest to 13 in -4, -5, c?
c
Let a = -55.7 - -80. Let d = -24 + a. What is the nearest to -2 in d, -0.06, 1?
-0.06
Let d(i) = 122*i + 4638. Let q be d(-38). Let j = -661 - -2003/3. Let y = j - 6. Which is the closest to -1? (a) -2/23 (b) q (c) y
a
Suppose -15*o - 224 = o. Which is the nearest to o? (a) -5 (b) 5 (c) -0.5
a
Let z = 269 + -272. Which is the nearest to z? (a) -0.5 (b) -19/5 (c) 3 (d) 0.2
b
Let j = 0.04349 + -1.41349. Which is the closest to j? (a) 0.4 (b) -3 (c) 0.5
b
Let z(o) = 2*o**2 + 13*o - 4. Let q be z(-6). Let t be (q - -8)/(-3 - -9). Which is the closest to t? (a) -4 (b) -1 (c) -3/8
c
Let q be ((-65)/208)/((-25)/(-10)) - 183/328. Which is the nearest to q? (a) -0.2 (b) -2/3 (c) 1
b
Let k = -4.222 + 4.122. What is the closest to 1 in 0.51, 4, k, 2?
0.51
Let r = 17171 + -17169. What is the near
|
{
"pile_set_name": "DM Mathematics"
}
|
taaa.
35/572
Two letters picked without replacement from cycyccmcimmbc. Give prob of sequence bi.
1/156
What is prob of sequence ess when three letters picked without replacement from llselleeeleeees?
8/1365
Two letters picked without replacement from jmmjommb. Give prob of sequence jb.
1/28
Calculate prob of sequence ogb when three letters picked without replacement from {g: 2, t: 3, o: 7, b: 3}.
1/65
Four letters picked without replacement from {b: 1, t: 2, e: 1, h: 2, m: 1, s: 1}. Give prob of sequence mths.
1/420
Calculate prob of sequence llxb when four letters picked without replacement from {a: 1, x: 1, p: 2, l: 4, b: 1}.
1/252
Three letters picked without replacement from {b: 2, d: 6, h: 3, q: 2}. What is prob of sequence bhd?
3/143
Calculate prob of sequence xw when two letters picked without replacement from {o: 1, a: 4, x: 1, u: 1, w: 1}.
1/56
Two letters picked without replacement from wwcbcwbbbbwlbbwc. Give prob of sequence wb.
7/48
Four letters picked without replacement from {d: 7, k: 4, g: 1, l: 2}. Give prob of sequence lkgl.
1/3003
Two letters picked without replacement from {x: 2, m: 1, h: 8, f: 1, i: 4}. Give prob of sequence mi.
1/60
Three letters picked without replacement from aeaeaaaaalxaalasaxl. Give prob of sequence sax.
11/2907
Calculate prob of sequence ii when two letters picked without replacement from {m: 1, i: 2, c: 1}.
1/6
Calculate prob of sequence gl when two letters picked without replacement from {g: 7, l: 1}.
1/8
What is prob of sequence tqq when three letters picked without replacement from {e: 1, q: 6, g: 1, t: 1}?
5/84
What is prob of sequence jjhn when four letters picked without replacement from njjhnjhnthjj?
1/66
Two letters picked without replacement from {j: 5, x: 8}. Give prob of sequence xj.
10/39
Two letters picked without replacement from {n: 4, l: 15}. What is prob of sequence nn?
2/57
What is prob of sequence gfff when four letters picked without replacement from fggfffgfgggff?
21/286
What is prob of sequence du when two letters picked without replacement from {i: 6, q: 1, u: 2, d: 4}?
2/39
What is prob of sequence is when two letters picked without replacement from ssiiar?
2/15
What is prob of sequence cebc when four letters picked without replacement from bbcbkbcbiaekae?
5/6006
What is prob of sequence jcfl when four letters picked without replacement from {l: 1, j: 3, o: 2, c: 1, e: 3, f: 1}?
1/2640
What is prob of sequence yo when two letters picked without replacement from {y: 1, k: 10, u: 3, c: 2, o: 2, d: 2}?
1/190
Three letters picked without replacement from {f: 1, p: 2, a: 3, u: 5, v: 1}. Give prob of sequence aav.
1/220
Calculate prob of sequence ood when three letters picked without replacement from {q: 1, n: 1, o: 2, d: 1, v: 2}.
1/105
Calculate prob of sequence na when two letters picked without replacement from annannnnnnn.
9/55
Three letters picked without replacement from npxnacrrxxnx. What is prob of sequence crx?
1/165
Calculate prob of sequence pv when two letters picked without replacement from {e: 3, p: 1, v: 4, d: 2}.
2/45
Three letters picked without replacement from {u: 1, e: 1, v: 2, i: 1, k: 2, l: 2}. What is prob of sequence iue?
1/504
Four letters picked without replacement from {z: 1, h: 2, v: 2, d: 1, o: 1, y: 1}. Give prob of sequence doyd.
0
What is prob of sequence xx when two letters picked without replacement from {x: 7, t: 6}?
7/26
Calculate prob of sequence pz when two letters picked without replacement from zpp.
1/3
What is prob of sequence iip when three letters picked without replacement from {s: 7, p: 7, d: 1, i: 3, t: 2}?
7/1140
Two letters picked without replacement from avwtw. Give prob of sequence wt.
1/10
Two letters picked without replacement from {f: 3, o: 4, z: 9, m: 2}. What is prob of sequence om?
4/153
Two letters picked without replacement from lcehesculhch. Give prob of sequence ll.
1/66
What is prob of sequence nnnn when four letters picked without replacement from {n: 10}?
1
Two letters picked without replacement from xgoxoqxxoxkxy. What is prob of sequence gq?
1/156
What is prob of sequence ch when two letters picked without replacement from hbjzcbca?
1/28
What is prob of sequence zj when two letters picked without replacement from uzninjnni?
1/72
Three letters picked without replacement from {p: 1, b: 5, j: 3}. Give prob of sequence jpb.
5/168
Three letters picked without replacement from {h: 1, n: 1, u: 2, z: 2, c: 6}. What is prob of sequence zhz?
1/660
What is prob of sequence gg when two letters picked without replacement from {x: 1, g: 2}?
1/3
Calculate prob of sequence ac when two letters picked without replacement from {n: 2, c: 4, a: 6}.
2/11
Four letters picked without replacement from yzqszszzzzqxqxq. What is prob of sequence ssxs?
0
Calculate prob of sequence pooo when four letters picked without replacement from {p: 8, o: 3}.
1/165
Four letters picked without replacement from {m: 5, t: 13, y: 2}. Give prob of sequence mtyy.
13/11628
Three letters picked without replacement from rrtrrtrrrrrrcgcr. Give prob of sequence tcg.
1/840
What is prob of sequence ool when three letters picked without replacement from mllolllfmllfol?
2/273
Three letters picked without replacement from fffffffqqfffqfffff. What is prob of sequence qqf?
5/272
What is prob of sequence se when two letters picked without replacement from dcccyccccdsdccedy?
1/272
Calculate prob of sequence rtr when three letters picked without replacement from {t: 2, r: 2, b: 11}.
2/1365
Three letters picked without replacement from nhwnehfnhhwhfnnhf. What is prob of sequence hwf?
3/340
Two letters picked without replacement from {w: 2, i: 1, t: 1, p: 3, m: 6}. Give prob of sequence pp.
1/26
Four letters picked without replacement from inexniiixniiiex. Give prob of sequence eexx.
1/2730
What is prob of sequence zdn when three letters picked without replacement from {n: 2, z: 1, d: 1}?
1/12
Calculate prob of sequence id when two letters picked without replacement from ibd.
1/6
What is prob of sequence oo when two letters picked without replacement from {o: 7, c: 1, t: 11}?
7/57
Three letters picked without replacement from {u: 1, y: 1, r: 2, f: 1, q: 1, n: 2}. Give prob of sequence nfr.
1/84
Calculate prob of sequence llsl when four letters picked without replacement from slssssss.
0
What is prob of sequence mnn when three letters picked without replacement from mmmnnmnm?
5/56
Calculate prob of sequence uuz when three letters picked without replacement from {u: 4, x: 4, z: 11}.
22/969
Calculate prob of sequence wwoo when four letters picked without replacement from {o: 9, w: 10}.
45/646
What is prob of sequence yyi when three letters picked without replacement from yyyyiyyiyiyyyyiyyyiy?
35/228
Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmmmmmmmbmmmmb.
35/51
Three letters picked without replacement from {j: 1, o: 1, f: 2}. Give prob of sequence fof.
1/12
Four letters picked without replacement from {v: 5, c: 2, w: 4, z: 4}. What is prob of sequence ccwv?
1/819
What is prob of sequence vv when two letters picked without replacement from vvvvvvkvvvvvvkkkvvv?
35/57
What is prob of sequence aaa when three letters picked without replacement from accaacacac?
1/12
Three letters picked without replacement from ciisidbibbbbfbddsd. What is prob of sequence fsc?
1/2448
Calculate prob of sequence nln when three letters picked without replacement from {l: 4, n: 5, d: 5}.
10/273
Two letters picked without replacement from {l: 1, t: 1, j: 2, r: 1, q: 2}. What is prob of sequence tl?
1/42
Two letters picked without replacement from {c: 8, g: 8, l: 1}. What is prob of sequence lg?
1/34
Three letters picked without replacement from {l: 1, y: 3, c: 1}. What is prob of sequence ycy?
1/10
What is prob of sequence vyp when three letters picked without replacement from fypfppvffoyyby?
1/182
Four letters picked without replacement from {w: 4, t: 1, g: 6, v: 4}. Give prob of sequence tvgv.
1/455
Calculate prob of sequence ddq when three letters picked without replacement from qdqqdddqqddddqdqqqd.
45/323
Three letters picked without replacement from hhhhhhhhhhhhhhg. Give prob of sequence hhh.
4/5
Four letters picked without replacement from {x: 3, d: 1}.
|
{
"pile_set_name": "DM Mathematics"
}
|
704, 675, 628, 563, 480, 379, 260?
123
What comes next: 647, 628, 609?
590
What comes next: -532, -996, -1460, -1924, -2388?
-2852
What comes next: 3781, 3695, 3609, 3523, 3437, 3351?
3265
What comes next: -1332, -9598, -32034, -75726, -147760, -255222, -405198, -604774?
-861036
What is next in 20604, 41065, 61526, 81987, 102448?
122909
What comes next: -29, -181, -425, -755, -1165, -1649?
-2201
What comes next: 3142, 6234, 9318, 12394, 15462?
18522
What is the next term in 25503930, 25503931, 25503932, 25503933?
25503934
What comes next: 67243, 67241, 67239, 67237?
67235
What is the next term in 120, 253, 492, 843, 1312?
1905
What is next in 23154, 185271, 625300, 1482195, 2894910, 5002399, 7943616, 11857515?
16883050
What is next in 285, 332, 379, 426?
473
What is the next term in -27390, -27214, -27038, -26862, -26686?
-26510
What comes next: -835, -1768, -2787, -3892, -5083, -6360?
-7723
What is the next term in 50715, 101446, 152189, 202950, 253735, 304550, 355401?
406294
What comes next: 340, 592, 902, 1276, 1720?
2240
What is the next term in 42890, 85783, 128680, 171581, 214486, 257395?
300308
What comes next: -145, -414, -947, -1876, -3333, -5450, -8359, -12192?
-17081
What is the next term in 3427, 6693, 9959, 13225, 16491?
19757
What is the next term in -793, -1004, -1237, -1498, -1793, -2128, -2509?
-2942
What is the next term in -73021, -146051, -219081?
-292111
What comes next: -1634, -1636, -1636, -1634, -1630, -1624?
-1616
What is the next term in 69, 159, 269, 405, 573, 779?
1029
What is next in 574, 531, 488, 445, 402?
359
What is the next term in 2548, 2626, 2752, 2926, 3148, 3418, 3736?
4102
What comes next: 40099, 40178, 40255, 40330, 40403, 40474?
40543
What is next in -32978, -131913, -296804, -527651?
-824454
What is the next term in 246, 972, 1698, 2424?
3150
What comes next: 98, 144, 162, 152, 114, 48, -46?
-168
What is the next term in 142, -128, -834, -2186, -4394, -7668?
-12218
What is the next term in 1517, 6064, 13637, 24236, 37861, 54512, 74189?
96892
What is the next term in -2897, -3047, -3173, -3263, -3305, -3287, -3197?
-3023
What comes next: 684, 2739, 6170, 10983, 17184, 24779, 33774, 44175?
55988
What is the next term in 19737, 39484, 59231, 78978, 98725?
118472
What comes next: -1801, -3559, -5281, -6955, -8569, -10111, -11569?
-12931
What comes next: 25328, 50650, 75970, 101288, 126604, 151918?
177230
What is the next term in 175, 1273, 4233, 9985, 19459, 33585, 53293, 79513?
113175
What is next in 992107, 992110, 992115, 992122?
992131
What is next in 4293, 4294, 4293, 4290, 4285, 4278, 4269?
4258
What is the next term in 127174, 127173, 127172, 127171, 127170?
127169
What is the next term in 752, 1911, 3476, 5453, 7848, 10667, 13916, 17601?
21728
What is next in 48, 738, 1888, 3498, 5568, 8098, 11088?
14538
What is the next term in 24767, 99075, 222921, 396305?
619227
What is the next term in 903, 2173, 3807, 5805?
8167
What is next in -84, -65, -26, 45, 160, 331, 570?
889
What is next in 1530, 1413, 1218, 945?
594
What is the next term in 158, 392, 770, 1364, 2246?
3488
What comes next: 58376, 116754, 175132, 233510?
291888
What is the next term in -4276, -3987, -3698, -3409, -3120, -2831?
-2542
What comes next: -3699, -3707, -3711, -3711?
-3707
What comes next: -936, -941, -950, -963, -980, -1001?
-1026
What is the next term in 1326, 5517, 12570, 22491, 35286, 50961, 69522?
90975
What is the next term in 738, 181, -1674, -4827, -9278, -15027?
-22074
What is next in 61, 117, 167, 205, 225?
221
What comes next: 3420, 6611, 9802, 12993?
16184
What is the next term in -922, -1800, -2620, -3358, -3990, -4492, -4840, -5010?
-4978
What is next in 144244, 144253, 144262, 144271, 144280, 144289?
144298
What is the next term in 761, 1484, 2183, 2864, 3533, 4196, 4859?
5528
What is next in -122679, -490702, -1104073, -1962792, -3066859, -4416274?
-6011037
What comes next: -321, -311, -299, -285, -269, -251?
-231
What is the next term in -372860, -745719, -1118578, -1491437, -1864296?
-2237155
What comes next: -3704, -7503, -11302, -15101, -18900?
-22699
What comes next: 414, 420, 418, 408, 390?
364
What is the next term in -125, -163, -201, -239?
-277
What is the next term in -678, -721, -794, -909, -1078, -1313, -1626, -2029?
-2534
What comes next: 5669, 5640, 5613, 5588, 5565, 5544?
5525
What is next in -106, -126, -180, -280, -438, -666, -976?
-1380
What is the next term in 9869521, 9869525, 9869531, 9869539?
9869549
What is the next term in 17795, 17787, 17779, 17771, 17763?
17755
What comes next: -614, -1204, -1810, -2432, -3070, -3724?
-4394
What is next in 100485, 100487, 100489, 100491?
100493
What is next in -474, -1372, -2866, -4956, -7642, -10924?
-14802
What is next in 16360, 16303, 16246, 16189, 16132, 16075?
16018
What is the next term in 7051, 7052, 7065, 7096, 7151, 7236, 7357, 7520?
7731
What is next in 411, 388, 367, 348?
331
What is next in 27, 126, 305, 564, 903, 1322, 1821?
2400
What comes next: -472, -402, -322, -226, -108, 38, 218?
438
What is next in -1476, -1340, -1112, -792, -380, 124, 720?
1408
What comes next: 4842, 9668, 14496, 19326?
24158
What comes next: -13791, -27556, -41321?
-55086
What comes next: -130925, -261846, -392767?
-523688
What comes next: -231642, -231644, -231646, -231648?
-231650
What comes next: -190, -173, -48, 239, 742?
1515
What is next in 2073, 1932, 1791, 1650?
1509
What is next in 4460, 4465, 4470?
4475
What is the next term in 30542, 61086, 91630, 122174?
152718
What is the next term in -435, -1568, -3457, -6102, -9503?
-13660
What is next in -1517, -3037, -4559, -6083?
-7609
What is next in -438, -75, 538, 1407, 2538?
3937
What comes next: -20458, -40916, -61374, -81832, -102290?
-122748
What comes next: -347, -1373, -3083, -5477, -8555?
-12317
What is the next term in 64, 121, 200, 313, 472?
689
What comes next: -13, -10, -7, -4, -1, 2?
5
What comes next: 32, 102, 172, 242, 312, 382?
452
What comes next: 80, 493, 1168, 2093, 3256, 4645?
6248
What comes next: 422064, 844110, 1266148, 1688172, 2110176?
2532154
What is the next term in -40722, -81420, -122118, -162816, -203514?
-244212
What is the next term in 756399, 756398, 756397, 756396?
756395
What is next in -6399, -6404, -6409?
-6414
What is next in 482, 783, 1104, 1445, 1806?
2187
What is next in 67801, 67960, 68111, 68248, 68365, 68456?
68515
What is next in -14877, -29685, -44493, -59301?
-74109
What comes next: -9542, -19062, -28582?
-38102
What is next in 258, 1174, 2704, 4848, 7606, 10978?
14964
What is next in -41, -87, -137, -191, -249, -311, -377?
-447
What is next in -544, -1117, -1696, -2281, -2872, -3469, -4072?
-4681
What comes next: -268, -272, -288, -316, -356?
-408
What is next in 135095, 135092, 135089, 135086, 135083, 135080?
135077
What is next in 121, 267, 449, 667, 921, 1211, 1537?
1899
What comes next: -5333, -5330, -5325, -5318?
-5309
What is the next term in 3765, 3781, 3797, 3813, 3829?
3845
What is the next term in 648, 838, 1028, 1218, 1408?
1598
What is the next term in 14384, 14378, 14364, 14342, 14312, 14274, 14228?
14174
What is next in 118, 229, 332, 427, 514, 593, 664?
727
What is the next term in -70050, -70051, -70052?
-70053
What is the next term in 421468, 842939, 1264410, 1685881, 2107352?
2528823
What is the next term in -9513, -19035, -28573, -38127, -47697?
-57283
What is the next term in 172, 400, 618, 820, 1000, 1152?
1270
What is next in -386, -385, -382, -377, -370, -361, -350?
-337
What is the next term in 1323, 2845, 4369, 5895, 7423, 8953?
10485
What is the next term in -189, -302, -361, -372, -341?
-274
What is the next term in 1934, 3768, 5600, 7430, 9258, 11084, 12908?
14730
What comes next: -166, 321, 810, 1301, 1794?
2289
What is the next term in 57, 176, 369, 636, 977, 1392, 1881?
2444
What comes next: 553, 1114, 1667, 2206, 2725?
3218
What comes next: 1472, 2955, 4452, 5969, 7512?
9087
What is the next term in 320, 1328, 3016, 5390, 8456, 12220, 16688, 21866?
27760
What is next in -206, -311, -316, -221, -26?
269
What comes next: -320822, -320823, -320824, -320825, -320826, -320827?
-320828
What is next in -7464, -7485, -7542, -7653, -7836, -8109, -8490, -8997?
-9648
What is the next term in 34, 83, 164, 283, 446, 659, 928, 1259?
1658
What
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -5*c - 3*c**k - 4*c - 8*c + 8*c = 0. Calculate c.
-3, 0
Let z(t) = -28*t + 286. Let i be z(10). Let s(d) be the third derivative of -1/300*d**i + 0*d**5 + 7*d**2 + 1/20*d**4 + 0*d + 0 - 2/15*d**3. Factor s(a).
-2*(a - 1)**2*(a + 2)/5
Find v, given that -27/7*v - 24/7 - 3/7*v**2 = 0.
-8, -1
What is n in -3*n - 13/4 + 1/4*n**2 = 0?
-1, 13
Find j, given that -280/3*j - 3920/3 - 5/3*j**2 = 0.
-28
Let m(y) be the second derivative of -y**4/9 - 41*y**3/18 - 5*y**2/3 + 80*y. Factor m(t).
-(t + 10)*(4*t + 1)/3
Let u(c) be the third derivative of c**5/270 + 5*c**4/54 + 14*c**2 + 1. Factor u(n).
2*n*(n + 10)/9
Let u(x) be the second derivative of -x**5/150 + 2*x**4/45 + x**3/9 + 5*x - 4. Factor u(k).
-2*k*(k - 5)*(k + 1)/15
Let x be ((-56)/42)/(1/3). Let g(f) = -5*f**2 + 5*f - 4. Let v(m) = 9*m**2 - 9*m + 7. Let h(q) = x*v(q) - 7*g(q). Factor h(b).
-b*(b - 1)
Find i such that 31/2*i**3 - 1/4*i**4 + 0*i - 961/4*i**2 + 0 = 0.
0, 31
Suppose 0 = 117*b - 118*b. Let t(m) be the third derivative of 0*m**6 - 3*m**2 + 0*m**5 + b*m + 0 + 1/1050*m**7 + 0*m**3 + 0*m**4. Let t(v) = 0. Calculate v.
0
Factor -5776*o - 203*o**4 - 109*o**4 + 5179*o**2 - 9838*o**2 - 4*o**5 - 7197*o**2 - 6388*o**3.
-4*o*(o + 1)**2*(o + 38)**2
Let i(v) = 2*v**2 - 4. Let l(n) = 5 + 0 - 5*n**2 + 3*n**2. Let q(t) = 3*i(t) + 2*l(t). Factor q(h).
2*(h - 1)*(h + 1)
Suppose -2*s + 716 = 3*l - 59, 2*s + 500 = 2*l. Let u = -3313/13 + l. Solve -u*d**2 + 2/13*d**3 + 0 + 0*d = 0 for d.
0, 1
Determine n so that -1369/3 + 74/3*n - 1/3*n**2 = 0.
37
Suppose 1107 - 2172 + 328*x + 741 - 4*x**2 = 0. What is x?
1, 81
Let x(m) = m**3 - 6*m**2 - 7*m + 5. Let h be x(7). Let -2*v**2 + 6*v - h*v**3 - 2*v**4 + 4 + 4*v**3 - 5*v**3 = 0. Calculate v.
-2, -1, 1
Determine z so that 365*z**2 - 230*z**3 + 449*z**3 - 6080*z - 21660 - 224*z**3 = 0.
-3, 38
Let l(x) be the third derivative of x**6/24 - x**5/3 - 5*x**4/8 + 15*x**3 - 166*x**2. Determine k so that l(k) = 0.
-2, 3
Let m be -1 - (0 - (9 + -3)). Let l(n) be the second derivative of -4*n**2 + 0 + 1/30*n**6 + 2/3*n**3 + 1/2*n**4 - 1/4*n**m - 3*n. Find c, given that l(c) = 0.
-1, 2
Let r = 15474/10075 - -2/775. Determine u so that r*u**2 - 2/13*u**5 + 2/13 - 10/13*u - 20/13*u**3 + 10/13*u**4 = 0.
1
Let y be 52262/73620 - ((-68)/20 - -3). Let l = y - -1/818. Let 2/9*j**3 - 8/9*j**2 - 4/9 + l*j = 0. Calculate j.
1, 2
Let u = 10 + -7. Let m(c) = -c**3 + 2*c**2 + 4*c + 1. Let y be m(u). Factor 2*q**3 + 7*q**y - 7*q**5 + 2*q**3 + q**4 + 11*q**5.
4*q**3*(q + 1)**2
Let g(f) be the first derivative of -f**4/7 - 4*f**3/21 + 66*f**2/7 - 36*f + 218. Factor g(u).
-4*(u - 3)**2*(u + 7)/7
Let a(h) = -h**2 + h. Let d(n) = -12*n**3 + 4*n**4 - 10*n**2 + 12*n**2 - 4*n**2 + 18*n. Let z(v) = -2*a(v) + d(v). Find i such that z(i) = 0.
-1, 0, 2
Let p(z) be the second derivative of z**5/420 + z**4/168 + 3*z**2 + 26*z. Let w(x) be the first derivative of p(x). Factor w(k).
k*(k + 1)/7
Let b(s) = -s**3 - 13*s**2 - 14*s - 11. Let t be b(-12). Factor w - t*w - 4*w**2 + 2*w - 11*w**2 - 5*w**3.
-5*w*(w + 1)*(w + 2)
Let u(j) be the second derivative of -j**4/114 + 24*j**3/19 - 1296*j**2/19 + 198*j. Factor u(a).
-2*(a - 36)**2/19
Let d be ((-150)/(-125))/((-87)/(-30) - 2). Factor 2/3*r**3 + 10/3*r + d + 8/3*r**2.
2*(r + 1)**2*(r + 2)/3
Let z(c) = -9*c**4 + 3*c**3 - 3*c. Let q(s) = 16*s**4 - 7*s**3 - s**2 + 7*s. Let n(k) = 3*q(k) + 5*z(k). Find m, given that n(m) = 0.
-1, 0, 1, 2
Let z(b) be the second derivative of b**6/120 - 29*b**5/8 + 6911*b**4/16 + 10585*b**3/6 + 5329*b**2/2 + 442*b. What is p in z(p) = 0?
-1, 146
Let u(y) be the second derivative of 14*y + 0 + 1/15*y**6 + 7/60*y**5 + 0*y**4 + 0*y**2 - 1/18*y**3. Find n such that u(n) = 0.
-1, -1/2, 0, 1/3
Let t(h) be the third derivative of h**8/1512 - 38*h**7/945 + 179*h**6/270 + 56*h**5/135 - 1007*h**4/108 - 722*h**3/27 + 263*h**2. Let t(l) = 0. Calculate l.
-1, 2, 19
Let s be ((-1)/(-3))/(-1) - (-1826)/33. Let v = s - 50. Factor 2/3*t - 4/3*t**2 - 4/3*t**3 + 2/3 + 2/3*t**4 + 2/3*t**v.
2*(t - 1)**2*(t + 1)**3/3
Let i(y) be the third derivative of -y**10/166320 - y**9/83160 + 5*y**4/12 + 10*y**2. Let m(c) be the second derivative of i(c). Factor m(p).
-2*p**4*(p + 1)/11
Let w be (-20)/15 + (-630)/(-108). Factor 3/2*g**3 + w*g**2 + 9/2*g + 3/2.
3*(g + 1)**3/2
Let y(b) be the first derivative of b**6/30 - 2*b**5/5 + 2*b**4 - 16*b**3/3 + 8*b**2 - 18*b + 38. Let d(f) be the first derivative of y(f). Factor d(g).
(g - 2)**4
Let q(v) be the third derivative of -v**7/105 + v**6/12 - v**5/15 - 2*v**4/3 + 2*v**2. Suppose q(w) = 0. What is w?
-1, 0, 2, 4
Let m(g) be the third derivative of -5*g**8/2016 + g**7/630 + g**6/144 - g**5/180 + 75*g**2. Find d such that m(d) = 0.
-1, 0, 2/5, 1
Let y be 4/(-28) - (0 - 88/28). Suppose d = y*d. Determine r so that -2/7*r**2 - 4/7*r**3 + d*r + 0 = 0.
-1/2, 0
Suppose -3*g = 4*p - 9, -16*g + 12*g = -3*p - 12. Suppose p*h + 0 + 0*h**2 - 2/7*h**3 = 0. Calculate h.
0
Factor 3/5*k**2 + 21/5*k + 6.
3*(k + 2)*(k + 5)/5
Factor 50*z**2 - 5*z**3 - 64*z**2 + 9*z**3.
2*z**2*(2*z - 7)
Let y = 2785/9527 - 9/1361. Factor 2/7*x**3 - y*x**2 + 0 + 0*x.
2*x**2*(x - 1)/7
Let -3*c**2 - 47/5*c - 33/5 - 1/5*c**3 = 0. What is c?
-11, -3, -1
Suppose 0 = -3*l + 6 - 0. Factor -20*m**2 + 6*m**3 + 5*m**2 + 12*m**l.
3*m**2*(2*m - 1)
Let k(g) be the first derivative of -g**3/5 + 3*g**2 - 48*g/5 + 275. Factor k(t).
-3*(t - 8)*(t - 2)/5
Let a(g) = -19*g**3 - 66*g**2 - 64*g + 34. Let x(i) = -i**3 + 2. Let q(d) = -2*a(d) + 10*x(d). Determine b so that q(b) = 0.
-3, -2, 2/7
Factor -8/9 - 46/9*m**2 - 14/9*m**3 - 40/9*m.
-2*(m + 1)*(m + 2)*(7*m + 2)/9
Let f be ((-20)/(-240))/(3/32). Solve f*t - 2/3*t**4 + 0 - 14/9*t**3 + 0*t**2 = 0.
-2, -1, 0, 2/3
Let z be (111/259)/((-2)/(-14)). Let t(p) be the third derivative of 1/2*p**4 + 1/30*p**5 + 3*p**z + 4*p**2 + 0 + 0*p. Factor t(a).
2*(a + 3)**2
Factor -5/4*t**2 - 115/4*t - 55/2.
-5*(t + 1)*(t + 22)/4
Let r(c) = 25*c**4 - 39*c**3 - 153*c**2 - 80*c + 27. Let y(g) = 6*g**4 - 10*g**3 - 38*g**2 - 20*g + 6. Let h(a) = -2*r(a) + 9*y(a). Factor h(w).
4*w*(w - 5)*(w + 1)**2
Let f(r) = -r**4 - r**3 + 3*r**2 - r - 1. Let l(b) = -7*b**4 + 50*b**3 - 95*b**2 + 52*b - 8. Let i(d) = 24*f(d) - 3*l(d). Solve i(j) = 0.
-60, 0, 1
Let l(k) be the second derivative of -k**5/150 + k**4/30 + 2*k**3/15 - 8*k**2/15 + 3*k - 17. Factor l(c).
-2*(c - 4)*(c - 1)*(c + 2)/15
Let z = -44 + 5. Let h be (1/3)/((-1)/z). Suppose -9 - 8*g + 1 - h*g - 10 + 9*g**2 = 0. Calculate g.
-2/3, 3
Let f = 179/3 - 59. Let x(a) be the first derivative of f*a**3 - 4/5*a**2 + 2/5*a - 1/5*a**4 - 5. Factor x(v).
-2*(v - 1)**2*(2*v - 1)/5
Let n(d) be the first derivative of 49*d**6/27 + 28*d**5/9 - 26*d**4/9 + 16*d**3/27 - 109. Suppose n(m) = 0. Calculate m.
-2, 0, 2/7
Let p(w) = -20*w**3 - 4*w**2 + 28*w - 4. Suppose 4*y + 22 - 18 = 0. Let f(s) = -s + 1. Let u(x) = y*p(x) - 4*f(x). Let u(r) = 0. Calculate r.
-6/5, 0, 1
Factor 0 + 2/5*a**2 - 4/15*a - 2/15*a**3.
-2*a*(a - 2)*(a - 1)/15
Suppose 0*f + 4*f - 8 = 0. Factor -27*z**f + 60*z**2 + z**3 - 30*z**2.
z**2*(z + 3)
Let q(c) = 2*c**2 + 22*c - 52. Let j be q(-13). Let v(f) be the third derivative of -5/204*f**4 + j*f - 1/510*f**5 - 4/51*f**3 - 7*f**2 + 0. Factor v(s).
-2*(s + 1)*(s + 4)/17
Let -6*l**2 + 9/4*l**4 - 12 - 15/4*l**5 - 36*l + 24*l**3 = 0. Calculate l.
-2, -1, -2/5, 2
Let t(z) be the second derivative of z**7/5040 + z**6/720 + z**5/240 - z**4/6 + 3*z. Let x(k) be the third derivative of t(k). Factor x(i).
(i + 1)**2/2
Suppose 5*b = 3*c, 5*b = -0*c - c. Let d(m) be the third derivative of 0*m**4 - 1/45*m**3 + 0 - 7*m**2 + c*m + 0*m**6 + 1/225*m**5 - 1/1575*m**7. Factor d(s).
-2*(s - 1)**2*(s + 1)**2/15
Let a(j) = -j**2 + 9*j + 6. Let b be a(9). Suppose 0 = -5*c + b*c - 13. Factor 5*w**3 - 14*w**4 - w**3 + 19*w**5 - c*w**5.
2*w**3*(w - 2)*(3*w - 1)
Let s(b) be the first derivative of -3*b**4/20 - 42. Factor s(c).
-3*c**3/5
Let h be (2 + 156/(-64))*66/(-77). Factor -h*d - 3/8*d**2 + 0.
-3*d*(d + 1)/8
Factor -24/7*u**2 + 0 + 4/7*u**3 + 20/7*u.
4*u*(u - 5)*(u - 1)/7
Suppose 0 = 3*z - 2*q - 3, -2*z = 3*z - 4*q - 3. Let b be 10/(-1)*3/(-6). Let 61*i - 3*i**3 - 61*i + z*i**b = 0. Calculate i.
-1, 0, 1
Suppose 2*t - 850 = -2*x, 905 + 1215 = 5*t + 4*x. Let y be 1/6 + 170/t. Factor -6/7*z**3 - y*z**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
Find the common denominator of 37/4 and 69/11098.
22196
Calculate the common denominator of -87/7280 and -43/140.
7280
What is the common denominator of 111/20 and -129/140?
140
Calculate the common denominator of 137/6 and 7/318.
318
What is the common denominator of -55/122 and -69/2?
122
Calculate the lowest common multiple of 579 and 965.
2895
What is the smallest common multiple of 225 and 55?
2475
What is the common denominator of -13/250 and -119/12?
1500
Find the common denominator of -83/1728 and 67/192.
1728
Calculate the smallest common multiple of 1127 and 63.
10143
What is the lowest common multiple of 11 and 2?
22
Calculate the common denominator of -25/44 and 21/880.
880
Calculate the least common multiple of 4 and 3.
12
Calculate the common denominator of 3/2690 and -25/807.
8070
Find the common denominator of -17/366 and 46.
366
What is the common denominator of -45/8 and -89/128?
128
Calculate the common denominator of -75/16 and -67/44.
176
Find the common denominator of -3/25 and -37/310.
1550
Find the common denominator of -79/216 and 53/36.
216
Calculate the least common multiple of 212 and 6.
636
Calculate the common denominator of -83/36 and -27/12188.
109692
Calculate the common denominator of -115/306 and -16/255.
1530
Calculate the smallest common multiple of 17056 and 40.
85280
What is the common denominator of -37/12 and -37/44?
132
Calculate the common denominator of 67/264 and -73/99.
792
What is the common denominator of 17/105 and 48/875?
2625
Calculate the smallest common multiple of 6 and 15.
30
What is the common denominator of 92/1785 and 99/4?
7140
Find the common denominator of 23/204 and 25/1904.
5712
Calculate the smallest common multiple of 192 and 432.
1728
What is the smallest common multiple of 1830 and 1220?
3660
Calculate the common denominator of -29/238 and 87/16.
1904
Calculate the lowest common multiple of 36 and 36.
36
What is the least common multiple of 57 and 204?
3876
Calculate the smallest common multiple of 5632 and 2112.
16896
Calculate the least common multiple of 568 and 8.
568
Calculate the least common multiple of 52 and 910.
1820
Calculate the lowest common multiple of 3 and 231.
231
Calculate the lowest common multiple of 9 and 33.
99
Calculate the common denominator of -101/1596 and 4/361.
30324
What is the least common multiple of 5625 and 25?
5625
What is the common denominator of -149/84 and -57/28?
84
What is the lowest common multiple of 1223 and 9?
11007
Calculate the least common multiple of 12626 and 18.
113634
Find the common denominator of -14/117 and -73/87.
3393
Find the common denominator of -67/20 and 13/8054.
80540
Find the common denominator of 131/204 and 163/312.
5304
Calculate the lowest common multiple of 36 and 459.
1836
Calculate the common denominator of 99/84490 and -99/10.
84490
What is the smallest common multiple of 32 and 8?
32
Calculate the least common multiple of 3497 and 130.
34970
What is the common denominator of 91/16 and -77/8?
16
Calculate the common denominator of 14/387 and 8/39.
5031
Calculate the common denominator of 91/1104 and 71/2392.
14352
Calculate the least common multiple of 210 and 231.
2310
What is the least common multiple of 21 and 77?
231
What is the lowest common multiple of 1389 and 8?
11112
Calculate the least common multiple of 270 and 216.
1080
Calculate the least common multiple of 15 and 1265.
3795
Calculate the common denominator of -57/2816 and -61/528.
8448
Calculate the smallest common multiple of 540 and 210.
3780
What is the common denominator of 137/96 and -10/9?
288
Calculate the common denominator of 47/64 and 95/4.
64
Calculate the least common multiple of 3660 and 3050.
18300
Calculate the common denominator of 38/739 and -73/10.
7390
Calculate the smallest common multiple of 20 and 45014.
450140
Calculate the lowest common multiple of 150 and 60.
300
What is the common denominator of 43/220 and -31/6?
660
Calculate the least common multiple of 85 and 289.
1445
Calculate the least common multiple of 7 and 6670.
46690
Find the common denominator of -187/480 and -53/2208.
11040
What is the common denominator of -41/1490 and -53/1192?
5960
Find the common denominator of 13/12 and -11/248.
744
What is the smallest common multiple of 48 and 129?
2064
Find the common denominator of 49/9 and 10/147.
441
What is the least common multiple of 104 and 18?
936
Calculate the common denominator of -137/540 and -47/180.
540
Calculate the smallest common multiple of 10 and 9775.
19550
Calculate the smallest common multiple of 7 and 176.
1232
What is the smallest common multiple of 28 and 8?
56
Calculate the smallest common multiple of 305 and 5.
305
What is the common denominator of 107/498 and 22/27?
4482
What is the lowest common multiple of 2366 and 126?
21294
Calculate the smallest common multiple of 150 and 612.
15300
Calculate the lowest common multiple of 138 and 33.
1518
Calculate the lowest common multiple of 258 and 8.
1032
Calculate the lowest common multiple of 245 and 840.
5880
What is the smallest common multiple of 83 and 8?
664
What is the common denominator of 37/7 and 101/1192?
8344
What is the lowest common multiple of 112 and 28?
112
Calculate the smallest common multiple of 6 and 112.
336
Calculate the smallest common multiple of 40 and 20.
40
What is the common denominator of -9/682 and -33/248?
2728
Calculate the smallest common multiple of 200 and 10.
200
Calculate the smallest common multiple of 4776 and 12.
4776
What is the least common multiple of 44 and 8?
88
Calculate the common denominator of 71/20 and -85/1628.
8140
What is the lowest common multiple of 20 and 4?
20
Calculate the common denominator of 13/1293 and 65/12.
5172
Calculate the common denominator of 23/45 and 33/35.
315
Find the common denominator of 29/70 and 95/6.
210
Calculate the least common multiple of 2 and 160.
160
What is the common denominator of 61/21 and -47/3?
21
Find the common denominator of 7/6 and -89/1786.
5358
Calculate the least common multiple of 210 and 770.
2310
Calculate the least common multiple of 76 and 8.
152
What is the common denominator of 85/504 and -179/1722?
20664
Calculate the smallest common multiple of 15920 and 12.
47760
What is the lowest common multiple of 984 and 16?
1968
What is the smallest common multiple of 328 and 164?
328
Calculate the smallest common multiple of 408 and 153.
1224
Calculate the smallest common multiple of 1463 and 693.
13167
Calculate the smallest common multiple of 2430 and 6.
2430
Find the common denominator of 37/129 and 161/30.
1290
Find the common denominator of 1/12 and -145/48.
48
Find the common denominator of 51/878 and -87/2.
878
Calculate the least common multiple of 198 and 1056.
3168
Calculate the common denominator of -1/8 and -119/40.
40
Find the common denominator of 101/8 and -103/5522.
22088
Calculate the least common multiple of 12 and 2361.
9444
Find the common denominator of -61/609 and -19/6.
1218
Find the common denominator of -1/315 and -4/135.
945
What is the lowest common multiple of 10 and 232?
1160
Find the common denominator of 19/7 and 61/12.
84
Calculate the least common multiple of 1605 and 3.
1605
What is the common denominator of -143/72 and -41/208?
1872
Calculate the common denominator of 55/12 and -49/24.
24
What is the common denominator of 1/190 and 29/180?
3420
Calculate the smallest common multiple of 200 and 36.
1800
Calculate the least common multiple of 304 and 16.
304
Calculate the smallest common multiple of 4109 and 4109.
4109
What is the lowest common multiple of 3 and 108?
108
What is the smallest common multiple of 567 and 819?
7371
Calculate the lowest common multiple of 465 and 1302.
6510
Calculate the common denominator of -8/27 and -131/12.
108
Calculate the lowest common multiple of 8 and 656.
656
What is the smallest common multiple of 11 and 123?
1353
Calculate the common denominator of -53/342 and 25/18.
342
Calculate the smallest common multiple of 495 and 2.
990
Calculate the least common multiple of 70 and 70.
70
Calculate the common denominator of 89/98 and -121/6.
294
What is the smallest common multiple of 768 and 192?
768
Find the common denominator of 107/220 and -89/280.
3080
What is the common den
|
{
"pile_set_name": "DM Mathematics"
}
|
an or equal to -20?
True
Is 116 at least as big as 117?
False
Is -39 at most as big as -189/5?
True
Which is smaller: 629 or 5043/8?
629
Is -127 > 0?
False
Which is smaller: 1054/23 or 47?
1054/23
Is 1811 greater than 1806?
True
Which is smaller: 5229 or 5227?
5227
Which is smaller: 128 or 130?
128
Do -10785/4 and -2697 have the same value?
False
Are -3 and 599 equal?
False
Which is smaller: 1 or 11/52?
11/52
Which is smaller: -1/22 or -1/4?
-1/4
Is 664 greater than or equal to 663?
True
Which is bigger: -0.2 or 2/695?
2/695
Which is greater: 10 or -104?
10
Which is greater: 3574 or 3573?
3574
Is -1268 < 1/12?
True
Are -1026 and -1025 non-equal?
True
Is 1976/7 smaller than 283?
True
Is 7/6 < -0.1?
False
Are -16/2619 and 0 equal?
False
Which is smaller: -72 or -79?
-79
Which is greater: -0.1 or 1/96?
1/96
Which is smaller: 2/3 or 584/17?
2/3
Which is greater: 2 or -5/27?
2
Is -1 greater than 0.096?
False
Which is smaller: -3489 or 3?
-3489
Is 34/11 > 3?
True
Is -7406 less than -7406?
False
Which is smaller: -98 or -0.05?
-98
Which is greater: -2 or -51?
-2
Which is bigger: -2/219 or 6?
6
Which is greater: 11.7 or 2/3?
11.7
Is 634 >= 634?
True
Which is greater: -1/562 or 0?
0
Which is bigger: -2/8661 or 1?
1
Is 5140 < 5142?
True
Which is greater: 12624/7 or 1802?
12624/7
Is 7 <= 618/79?
True
Is 47403 greater than or equal to -1?
True
Is -1760 greater than -1761?
True
Are 37/15 and 3 non-equal?
True
Which is smaller: 395 or 0.4?
0.4
Is -115 < -6?
True
Is -5072 greater than -5072?
False
Is 2/7 equal to -51?
False
Which is smaller: 0.04 or 338?
0.04
Does 54511 = 54511?
True
Which is smaller: 186 or 187?
186
Which is greater: -1663 or -1666?
-1663
Which is bigger: -3/5701 or 1?
1
Do 11530 and 11531 have the same value?
False
Is -1465 less than -1468?
False
Are -3/74 and 2/3 nonequal?
True
Which is greater: -15 or -1/3?
-1/3
Is 1 > 83?
False
Is -67 at least as big as -403/6?
True
Is 2/5 at least 1009?
False
Is -3 greater than -147?
True
Is 3/73 greater than or equal to 0?
True
Is -4 not equal to -248?
True
Is 0.2 < 1295/3?
True
Is 7/6 at least 203?
False
Which is bigger: 7/135 or 1?
1
Which is smaller: -774 or -804?
-804
Do -1/7 and 68 have different values?
True
Is 16796 less than 16796?
False
Is -1 at least as big as -3/46?
False
Is -14 equal to -1/2?
False
Which is smaller: -19 or 128?
-19
Which is smaller: -6532 or -6530?
-6532
Is 350 greater than 320?
True
Is -617 <= -621?
False
Which is greater: 734 or 4?
734
Is 162 at least as big as 171?
False
Do 0.304 and 0.38 have the same value?
False
Is 33 bigger than -2/3?
True
Is 462 >= 461?
True
Is 39026 >= 39026?
True
Which is bigger: 0 or 4/183?
4/183
Which is bigger: -8/17 or 2/5?
2/5
Is 2 at most as big as -9?
False
Which is bigger: -2/439 or 0?
0
Is 107/4 > 27?
False
Are 1889 and 1881 equal?
False
Which is greater: 21/25 or 1?
1
Is 40/13 < 1?
False
Does 4698 = 4697?
False
Which is smaller: 3/8 or -829?
-829
Is 23 greater than or equal to 30?
False
Is 10/1853 <= -1?
False
Which is bigger: -327/118 or -4?
-327/118
Which is smaller: -3 or -13/8?
-3
Is -552/5 at least as big as -111?
True
Which is greater: 13 or -1/5?
13
Is -4/1333 > -1?
True
Which is smaller: 1 or 1/18653?
1/18653
Which is greater: 852 or -10?
852
Is 196 less than 13?
False
Is 2/13 at least 2/2491?
True
Which is smaller: 319 or 2232/7?
2232/7
Is 1366 >= 1362?
True
Is -550 greater than 2/3?
False
Which is greater: 137 or 141?
141
Which is bigger: 1/6 or -89?
1/6
Is -118 greater than or equal to -134?
True
Which is smaller: -28 or -1?
-28
Do 12 and 104 have the same value?
False
Which is greater: -62/2081 or 0?
0
Is 2 less than or equal to 1.66?
False
Which is smaller: 2737 or 2735?
2735
Which is greater: -36770 or -36771?
-36770
Which is bigger: 3/31 or 2/27?
3/31
Which is bigger: 2 or -967/3?
2
Which is greater: -2708 or 0?
0
Which is smaller: 13809 or 13810?
13809
Are -1/7707 and -1 equal?
False
Is -1 <= 795?
True
Which is greater: 0.0568 or 3?
3
Is -1/2821 at most 0?
True
Which is bigger: -8/319 or 0?
0
Are -93 and -103 unequal?
True
Is 2/3 at least as big as 48.8?
False
Which is smaller: -253/9 or 2/9?
-253/9
Which is bigger: 872 or 873?
873
Is -393 equal to 3?
False
Which is smaller: -2/7 or -1644?
-1644
Which is bigger: -93 or -1922/21?
-1922/21
Which is smaller: -15 or -24?
-24
Which is smaller: -2 or -176/91?
-2
Is -620 >= -621?
True
Which is smaller: -33/26 or -2?
-2
Which is bigger: 1 or -2/2705?
1
Which is smaller: 3584 or 3579?
3579
Is 28 equal to 22?
False
Is -285 at least as big as -284?
False
Is 91 at least 104?
False
Which is greater: -89 or 4?
4
Is -17 less than -17?
False
Is -28/167 bigger than 1?
False
Which is bigger: -1408 or -1406?
-1406
Which is greater: 2 or -2/135?
2
Which is smaller: 0.01 or 14?
0.01
Which is smaller: -833 or -835?
-835
Which is bigger: 1180 or 1178?
1180
Is -818 at most -11?
True
Is 8472 greater than 8473?
False
Is 8992 < -2/7?
False
Is -284/3 greater than or equal to -94?
False
Which is greater: 1614 or 1615?
1615
Which is smaller: 2109 or 2108?
2108
Do 259 and 2850/11 have the same value?
False
Which is bigger: -10/461 or 0?
0
Which is smaller: 2/1463 or 0?
0
Which is bigger: 3309 or -0.3?
3309
Which is smaller: -2/19693 or 0?
-2/19693
Which is bigger: -113/11 or -11?
-113/11
Is 223 < 222?
False
Which is smaller: 11 or -9?
-9
Is 1279 >= 1280?
False
Which is bigger: -1 or -33/112?
-33/112
Which is greater: 12 or 22?
22
Which is smaller: 1132 or 1130?
1130
Is -128 >= -127?
False
Which is smaller: -19 or -18?
-19
Which is bigger: -205/6 or -33?
-33
Which is smaller: 8 or 167?
8
Which is bigger: 1 or 30/299?
1
Is 79 bigger than 16.5?
True
Which is smaller: 110/499 or 0?
0
Is -398 bigger than -399?
True
Which is bigger: 3 or -582?
3
Is -406 greater than 7?
False
Which is smaller: -4479 or -4478?
-4479
Is 278 at most 277?
False
Do 0.92 and -6 have different values?
True
Which is smaller: -236 or -235?
-236
Is -1 smaller than 1/23374?
True
Which is bigger: 0.1 or -146?
0.1
Which is bigger: -62 or -67?
-62
Which is smaller: -13/4 or -4?
-4
Is 1.081 smaller than -1/3?
False
Which is smaller: 0 or 1/14?
0
Which is smaller: -72/35 or -2?
-72/35
Which is smaller: 2/39 or 101?
2/39
Which is smaller: -557 or -554?
-557
Which is smaller: 0.0139 or 3/5?
0.0139
Which is smaller: -3/4 or 9.6?
-3/4
Do -7.26 and -0.1 have different values?
True
Is -1 at most as big as -34?
False
Does -1 = -37/248?
False
Is -62 less than 4/3?
True
Which is bigger: 35807 or 35808?
35808
Which is smaller: 175 or 174?
174
Which is smaller: 1679 or 1677?
1677
Which is smaller: -0.14 or 1.11?
-0.14
Which is smaller: 3/5 or -2.683?
-2.683
Which is smaller: 4 or 0.49?
0.49
Is 297 > 297?
False
Which is smaller: -0.34 or 5?
-0.34
Is -1976 less than or equal to -1977?
False
Is -338 smaller than -339?
False
Which is smaller: -415 or -417?
-417
Is -1297 less than -1296?
True
Does 248/5 = 51?
False
Is -227/74 at least as big as -3?
False
Is -6/3665 less than 1?
True
Which is greater: 0 or -1515.2?
0
Is 1 > 6?
False
Is 233 greater than or equal to 234?
False
Is 21 at least as big as 805/41?
True
Which is bigger: 1 or 1/147?
1
Which is bigger: 24486/5 or 4898?
4898
Is -1 equal to -1/303?
False
Which is bigger: 156 or 155?
156
Which is smaller: 52 or 669/13?
669/13
Does 2 = -746?
False
Is 25 greater than or equal to 34?
False
Are 16 and 16 nonequal?
False
Which is bigger: 2201 or 0?
2201
Which is bigger: -1 or -13?
-1
Which is greater: -1906 or -1905?
-1905
Is 9222 at least 9222?
True
Which is smaller: -203 or 6?
-203
Is 2/1643 equal to 1?
False
Which is greater: 2920 or 2919?
2920
Is -55 at least 2/41?
False
Which is smaller: -2/9 or 49?
-2/9
Which is smaller: 69 or 84?
69
Which is greater: 0.2 or 11/1039?
0.2
Which is greater: -0.85 or -0.01?
-0.01
Is -44 less than or equal to -44?
True
Which is greater: -7.3 or -1/4?
-1/4
Which is smaller: 2515 or -0.2?
-0.2
Which is smaller: 4511 or 4509?
4509
Are -0.125 and 0.1 nonequal?
True
Which is bigger: -31 or -81?
-31
Which is smaller: 9997 or 9996?
9996
Are 7 and 22 equal?
False
Does 234/179 = 1?
False
Which is smaller: 840 or 2?
2
Are 4/8889 and -1 nonequal?
True
Which is smaller: 388 or 6600/17?
388
Is -594 equal to -4152/7?
False
Which is greater: 0 or 2/57893?
2/57893
Which is greater: -
|
{
"pile_set_name": "DM Mathematics"
}
|
st value? (a) -5 (b) -7 (c) -2/3 (d) 2/7
b
Which is the smallest value? (a) -1 (b) 5 (c) -881
c
Which is the third biggest value? (a) 0.03 (b) 1/3 (c) -1/5 (d) -11
c
What is the smallest value in 48, -0.02, -3?
-3
What is the smallest value in 0, -6, -5, -2/21?
-6
What is the second smallest value in -2, 0.5, 0.4, -28?
-2
Which is the second smallest value? (a) 13 (b) 0 (c) 4
c
Which is the second smallest value? (a) -175 (b) -0.1 (c) 2 (d) -0.5
d
What is the second biggest value in -1/10, -3, 3, 1?
1
Which is the biggest value? (a) -0.3 (b) -3/5 (c) 3/80
c
What is the second biggest value in 0.5, 8/9, 1?
8/9
What is the fourth smallest value in -2, -19, 0, -1?
0
What is the fourth biggest value in 4, 4/5, 0.5, -2?
-2
Which is the biggest value? (a) -0.2 (b) 1/10 (c) -4 (d) 1 (e) 0.2
d
Which is the second biggest value? (a) 0 (b) 5 (c) 0.4 (d) -1/512
c
What is the third biggest value in -1/3, -4, -99/56?
-4
Which is the smallest value? (a) -2.26 (b) -4 (c) 24
b
What is the third smallest value in -5, 8, 0.4, 0?
0.4
Which is the third smallest value? (a) 3 (b) -20 (c) 7/3 (d) 2 (e) -3
d
What is the biggest value in 2/5, -0.17, 12?
12
Which is the third biggest value? (a) 0.2 (b) 0.1 (c) -0.1216 (d) 1/2
b
What is the third smallest value in -13, -0.07, 5?
5
Which is the smallest value? (a) -0.3 (b) 40 (c) 1/10
a
What is the biggest value in 1.2, -160, -1?
1.2
Which is the second biggest value? (a) 99 (b) 1 (c) -23
b
What is the third smallest value in 37, -1/12, 3?
37
What is the biggest value in 3, -7, 4, -3?
4
Which is the fourth biggest value? (a) -1/3 (b) 1/6 (c) 296 (d) -18 (e) 5
a
What is the biggest value in 4/21, 0, -8/3?
4/21
Which is the second smallest value? (a) 0.5 (b) 3 (c) -7 (d) -1/10
d
What is the smallest value in -0.3, -5, -2541?
-2541
Which is the fourth smallest value? (a) -5 (b) -0.1 (c) 0.53 (d) -5/3
c
Which is the fifth smallest value? (a) 0.2 (b) -9.4 (c) 1/2 (d) 2/3 (e) -1/4
d
Which is the third smallest value? (a) 0.3 (b) 5 (c) 1/25 (d) 11
b
What is the second biggest value in 41, -1/3, 0?
0
What is the third smallest value in 0.123, -1.4, -1?
0.123
What is the third smallest value in 5, 0.1, -0.5, 19, 2/29?
0.1
Which is the biggest value? (a) -0.3 (b) -0.75 (c) 0.4
c
What is the second biggest value in 4, 5, -3, -17/8, 1?
4
Which is the second smallest value? (a) -1 (b) -14 (c) 0.5 (d) 4 (e) 5/3
a
What is the third smallest value in 2, -7/5, -3, 0.06?
0.06
What is the fourth smallest value in -0.01, 0.3, -0.001, 1/3, -2?
0.3
What is the smallest value in -0.4, 5, 2, -5?
-5
What is the second smallest value in -7, 1/7, 16.1?
1/7
Which is the second smallest value? (a) -3 (b) -37 (c) 0 (d) 0.9
a
Which is the fifth biggest value? (a) -0.3 (b) 0.2 (c) 4 (d) -5 (e) -18
e
What is the fourth smallest value in 0.12, -1/3, 0.108, 0.1?
0.12
What is the fourth biggest value in 5, -1, -0.4, -20?
-20
What is the third smallest value in 5/3, -0.4, -105/13?
5/3
Which is the second smallest value? (a) -0.4 (b) -2/15 (c) 0 (d) 4
b
What is the third biggest value in 0, -0.2, -2.49?
-2.49
Which is the biggest value? (a) 3 (b) -0.17 (c) -31
a
What is the biggest value in 1/3, 47, -0.1, -3?
47
Which is the biggest value? (a) -3 (b) 2 (c) -0.0726
b
Which is the second smallest value? (a) -0.08 (b) 4/7 (c) -4 (d) -1/2
d
What is the third biggest value in 0.2, 8, -8, 4?
0.2
What is the second biggest value in -1/18, 568, 5?
5
Which is the third biggest value? (a) -12/7 (b) 0.5 (c) -1 (d) -0.1
c
What is the third smallest value in -0.1, -2/7, -1, 44?
-0.1
Which is the smallest value? (a) -7/3 (b) -37 (c) -2/3 (d) -0.5
b
What is the third biggest value in -1, 2, 0.2, 1/96?
1/96
Which is the second biggest value? (a) 4 (b) 94 (c) 0.2 (d) 1
a
What is the third smallest value in 0.1, -0.5, -11?
0.1
What is the second smallest value in 1/4, 9.6, -0.3?
1/4
What is the smallest value in -1079, 0.1, 3?
-1079
Which is the fourth smallest value? (a) -0.4 (b) -0.3 (c) 0.2 (d) -101
c
What is the third biggest value in 0.26, 0.4, 2/9?
2/9
Which is the third smallest value? (a) -1 (b) 3/5 (c) 8 (d) -3
b
What is the fifth smallest value in -0.07, -4, -15, -1, -1/8?
-0.07
Which is the second biggest value? (a) 432 (b) 0.7 (c) 3
c
What is the second smallest value in -1580, -5, 5, -2/13?
-5
Which is the fourth smallest value? (a) 83/3 (b) 1/4 (c) -1/2 (d) -2/9
a
Which is the second smallest value? (a) -11/6 (b) -3/5 (c) 0.3
b
Which is the smallest value? (a) 1/8 (b) 4 (c) -0.3 (d) 6
c
Which is the smallest value? (a) 19 (b) -2 (c) 6
b
Which is the smallest value? (a) -51/8 (b) 1/4 (c) -1
a
Which is the second smallest value? (a) 0.4 (b) 0.055 (c) 3 (d) 4 (e) -2
b
Which is the biggest value? (a) 0.4 (b) 4 (c) 5 (d) -1
c
What is the third smallest value in -1, 148, -0.2?
148
What is the third smallest value in 4, 0.3, -1, 16/11?
16/11
Which is the second smallest value? (a) -6 (b) 8 (c) 25/2
b
What is the biggest value in -3/4, -1/42, -0.36?
-1/42
Which is the fourth smallest value? (a) -1 (b) -5 (c) 78 (d) -1/4
c
Which is the fifth smallest value? (a) -2 (b) 1 (c) 0.6 (d) -2.8 (e) 2/3
b
What is the second biggest value in 3/5, -5, 0, 2/9?
2/9
Which is the second smallest value? (a) 2/5 (b) 0.02 (c) 1/11 (d) 5
c
Which is the smallest value? (a) -0.5 (b) -4 (c) -690
c
What is the smallest value in -0.3, 2/3, 206, -0.2, 4?
-0.3
Which is the biggest value? (a) -1/4 (b) -25/2 (c) 0.2
c
Which is the fifth biggest value? (a) -1 (b) -2/13 (c) 1/5 (d) -23/2 (e) -1/4
d
Which is the second biggest value? (a) 1 (b) -26 (c) 0.06
c
Which is the fourth biggest value? (a) 40.9 (b) 0 (c) -2/3 (d) 1/2 (e) 1/8
b
Which is the second smallest value? (a) -5 (b) 22 (c) 1 (d) 6
c
Which is the fourth smallest value? (a) 1 (b) 7 (c) 4 (d) 6
b
What is the biggest value in 13/3, 0, 12?
12
What is the second smallest value in -0.39, -2, 0.1?
-0.39
Which is the third biggest value? (a) 0.3 (b) 0 (c) 0.0304
b
What is the third biggest value in -11, -5, 0.3?
-11
What is the fourth smallest value in 2, 4, -2, -14, 0.2?
2
What is the third biggest value in 38.2, -0.3, -0.1, -7?
-0.3
What is the second biggest value in 2, 1, -4?
1
Which is the biggest value? (a) 9 (b) -3 (c) -2
a
Which is the third smallest value? (a) -8/43 (b) -3 (c) -5
a
What is the fourth smallest value in -0.2, 2/9, 3.5, -3?
3.5
What is the second biggest value in -4, -3, 7/3?
-3
Which is the second smallest value? (a) -0.1 (b) -0.2 (c) 2/7
a
What is the second smallest value in 7.74, -2/11, 3?
3
Which is the fourth biggest value? (a) 4 (b) -2/3 (c) -2/9 (d) 0 (e) -67
b
What is the biggest value in -0.11, 2/9, -50?
2/9
Which is the third smallest value? (a) -5 (b) 1/36 (c) -0.24
b
Which is the third biggest value? (a) -2 (b) -5 (c) 5 (d) 2/7
a
What is the biggest value in -13, -1/4, 3/5?
3/5
What is the smallest value in -206/3, 4, -3?
-206/3
What is the third smallest value in 3/4, -20, 21, 0.5?
3/4
Which is the second smallest value? (a) -3 (b) -0.1 (c) 0
b
What is the biggest value in -1/5, 11, -2, 2/7?
11
Which is the smallest value? (a) 4 (b) -0.1 (c) -5 (d) -1.263
c
Which is the third biggest value? (a) -0.1 (b) -0.031 (c) 7
a
What is the biggest value in -1/6, 2.2, 4?
4
What is the third smallest value in -0.4, 6, -0.25?
6
Which is the second biggest value? (a) 0 (b) 56 (c) -1/3 (d) -2 (e) 0.3
e
Which is the second biggest value? (a) 0.5 (b) -231 (c) -3
c
Which is the second smallest value? (a) -2/19 (b) -1/82 (c) -3
a
Which is the smallest value? (a) 2/17 (b) -2/5 (c) -1
c
Which is the fourth biggest value? (a) 3 (b) 0.3 (c) -4 (d) 2 (e) -15
c
Which is the second biggest value? (a) 0.3 (b) -2/17 (c) -3 (d) -4
b
Which is the third smallest value? (a) 0.5 (b) -3 (c) 0 (d) -94
c
Which is the smallest value? (a) 5 (b) 6/61 (c) 1/4 (d) -0.1
d
What is the third smallest value in -3, -0.15, -2, -4?
-2
Which is the smallest value? (a) -2 (b) -0.2 (c) -4 (d) -0.1 (e) 11/4
c
What is the third smallest value in -7, 2, -3, 0.3?
0.3
What is the second biggest value
|
{
"pile_set_name": "DM Mathematics"
}
|
*o**2 + 4*o**2 wrt o?
-2952*o
Let f(o) be the first derivative of -o**8/240 - o**6/30 - 4*o**3/3 + 1. Let a(g) be the third derivative of f(g). What is the third derivative of a(n) wrt n?
-168*n
Let a(u) = -214*u**5 + 7*u**3 - 741*u + 7. Let x(j) = -107*j**5 + 3*j**3 - 371*j + 3. Let y(o) = -3*a(o) + 7*x(o). What is the second derivative of y(t) wrt t?
-2140*t**3
What is the first derivative of 215984*u**2 - 215984*u**2 + 273*u**3 - 175 wrt u?
819*u**2
Suppose 5*k - 34 = 36. Suppose -k - 6 = -5*i. Differentiate o**4 - 15*o**3 + 15*o**3 - 12 - 13*o**i with respect to o.
-48*o**3
Let u(h) be the third derivative of -19*h**7/21 - 13*h**4/8 + 52*h**2 + 3. Find the second derivative of u(j) wrt j.
-2280*j**2
Let x(u) be the first derivative of 323*u**6/6 - u**2/2 + 21*u - 233. What is the second derivative of x(k) wrt k?
6460*k**3
Let g(f) = 192*f**4 + 4*f**3 + 4*f + 584. Let y(n) = n**4 + n**3 + n. Let u(q) = -g(q) + 4*y(q). Find the first derivative of u(o) wrt o.
-752*o**3
Suppose 0 = 6*a - 10*a - 20. Let s = 8 + a. Find the second derivative of -j + s*j**2 - 1 + 1 wrt j.
6
Let b(u) be the first derivative of -109*u**2/2 - 16*u + 73. What is the derivative of b(v) wrt v?
-109
Let j(m) = 1272*m**3 + 1715*m**2 + 9*m + 9. Let k(d) = 632*d**3 + 857*d**2 + 4*d + 4. Let t(z) = -4*j(z) + 9*k(z). What is the third derivative of t(i) wrt i?
3600
Suppose 4*n = -c, 0*c + 2*n - 2 = -c. Suppose -6*v = -2*v - 5*q + 17, -28 = -c*v - 4*q. Find the second derivative of -m**2 - 7*m + 8*m**2 + 0*m**v wrt m.
14
Find the third derivative of 66*s - 17*s**5 - 5*s**2 - s**5 + 7*s**2 - 3*s**2 wrt s.
-1080*s**2
Suppose 2*s - 34 - 4 = 0. Find the first derivative of -s*f - 20*f + 49*f + 5 wrt f.
10
Differentiate 36 - 4 - 51*u**2 - 210 + 2*u**3 with respect to u.
6*u**2 - 102*u
Suppose -3*f + 26 = -67. Differentiate -3 - 28 + f*b + 3 with respect to b.
31
Let q(t) be the first derivative of -4*t**6/3 + t**3/3 + 36*t**2 - 73. Find the second derivative of q(w) wrt w.
-160*w**3 + 2
Suppose 22 = 6*i + 5*i. Let h(v) be the third derivative of -7*v**i + 1/20*v**5 + 0*v**4 + 0*v + 0 - 1/6*v**3. Differentiate h(u) wrt u.
6*u
Let o = 205 + -202. Let v(c) be the first derivative of 2/5*c**5 + c + 4 + 0*c**4 + 0*c**o + 0*c**2. Differentiate v(b) with respect to b.
8*b**3
Differentiate -566 - 268*q + 111*q - 163*q wrt q.
-320
Find the third derivative of -11941*y**3 + 22 + y**2 + 11941*y**3 - 179*y**6 wrt y.
-21480*y**3
Suppose -3*c + 12 = -4*c. Let x = -8 - c. Find the third derivative of x*v**3 - v**3 - 3*v**3 + v**6 + 6*v**2 wrt v.
120*v**3
Let t(p) be the third derivative of -12*p**2 - 25/6*p**3 - 25/24*p**4 + 0 + 0*p. Differentiate t(c) with respect to c.
-25
Let j(f) = -f**3 + 12*f**2 - 18*f + 6. Let w be j(10). Let h = -4 + 6. Find the second derivative of -15*l**h - 14*l**2 - 5*l + w*l**2 wrt l.
-6
Suppose 0 = -19*t + 21*t. Suppose -w + t*w + 3 = 0. Find the second derivative of 12*l**3 - 5*l**w + 4*l + 0*l wrt l.
42*l
Let s be (3 + (2 - 9))/(2*-1). What is the second derivative of -28*z**s + 61*z**2 + 15*z - 30*z**2 wrt z?
6
Suppose 24*d = 77 + 19. Let m(i) be the second derivative of -5*i + 0 - 2/3*i**3 + 0*i**2 + 5/12*i**d. What is the second derivative of m(f) wrt f?
10
Let g(o) be the first derivative of -2*o**3 + 25*o**2/2 + 518*o - 444. Find the first derivative of g(l) wrt l.
-12*l + 25
Let x(i) = -32*i**3 + 4*i**2 + 8*i - 10. Let s(z) = 32*z**3 - 3*z**2 - 7*z + 11. Let f(a) = 4*s(a) + 3*x(a). Find the second derivative of f(r) wrt r.
192*r
Let f(j) = 250*j**4 - 2*j**3 + 2*j**2 - 211. Let t(q) = -q**4 - q**3 + q**2 + 1. Let l(d) = f(d) - 2*t(d). Differentiate l(c) wrt c.
1008*c**3
Let r(x) = x + 32. Let h be r(-5). What is the first derivative of 0 + h*p - 2 + 4 wrt p?
27
Let f(u) = u**2 + 8*u + 21. Let a be f(-5). Differentiate 1 + 5*o - 25*o + 0 - a*o with respect to o.
-26
Let r(j) be the second derivative of 0 + 0*j**4 + 11/3*j**3 - 26*j + 11/14*j**7 + 0*j**6 + 0*j**5 + 0*j**2. Find the second derivative of r(w) wrt w.
660*w**3
Let t(o) = -12*o**4 - 12. Suppose -5 = 5*k + 10, -2*d - 4 = 2*k. Let y(v) = -v**4. Let u(f) = d*t(f) + 16*y(f). Differentiate u(q) with respect to q.
-112*q**3
Let p(j) be the third derivative of -5*j**9/84 + j**5/30 - j**3/6 + 149*j**2. Find the third derivative of p(m) wrt m.
-3600*m**3
What is the second derivative of -64*u**4 + 122*u - 62*u**4 - 42*u**4 + 126*u wrt u?
-2016*u**2
Let y(z) be the second derivative of 5*z + 0 + 0*z**5 + 0*z**4 + 0*z**3 - 1/6*z**6 - z**2. What is the first derivative of y(v) wrt v?
-20*v**3
Let d(s) = 342*s**3 + 145*s**2 + 21*s - 5. Let k(l) = 171*l**3 + 73*l**2 + 8*l - 2. Let x(g) = 2*d(g) - 5*k(g). Find the third derivative of x(m) wrt m.
-1026
Let v(s) be the first derivative of 397*s**4/4 - 40*s**3/3 + 94. What is the third derivative of v(x) wrt x?
2382
What is the third derivative of 6 - 56 + 2*j**2 - 12 + 7 - 218*j**4 - 22 wrt j?
-5232*j
Let u = 15 + -21. Let g be (-16)/u - (-10)/(-15). Differentiate g + 0 + 0*o - 3*o + o wrt o.
-2
Find the second derivative of 17 - 36*d**2 - d + 20*d**3 - 34*d**2 + 62*d**2 wrt d.
120*d - 16
Let w(l) = -108*l**3 + 444. Let g(v) = v**3 - 1. Let d(a) = 3*g(a) - w(a). Differentiate d(s) wrt s.
333*s**2
Let t(v) be the first derivative of 209*v**6/6 - 3*v**2/2 - 155*v + 303. What is the second derivative of t(r) wrt r?
4180*r**3
Let w(f) be the second derivative of 7*f**4/4 - 5*f**3/3 + 339*f**2/2 + 67*f + 3. Find the first derivative of w(i) wrt i.
42*i - 10
Suppose 24 = -0*z + 3*z. Let v(w) be the second derivative of z*w + 0*w**3 + 1/3*w**4 + 0 - 2*w**2. Differentiate v(t) wrt t.
8*t
Let k(l) = 4*l**3 + 8*l**2 - 6*l - 6. Let t(n) = n**3 - 2*n**2 + n + 1. Let u(a) = k(a) + 4*t(a). Find the second derivative of u(i) wrt i.
48*i
Let a(k) be the first derivative of -83*k**4/2 + 71*k + 238. Find the first derivative of a(t) wrt t.
-498*t**2
Let b be 9*(20/12 + -1). Differentiate 19 + 17*l**3 - 17*l**3 - 2*l**4 - b*l**4 with respect to l.
-32*l**3
What is the third derivative of -2796*k**2 + 9 - 255*k**5 + 1397*k**2 + 1396*k**2 wrt k?
-15300*k**2
Let m(c) = c + 3*c + 9*c**3 - 3*c - 8*c**3. Let j(x) = -5*x**3 + 2*x + 5. Let p(f) = -2*j(f) + 4*m(f). Differentiate p(y) with respect to y.
42*y**2
Differentiate 151 + 6*z**2 + 2244*z - 2244*z - 6*z**2 + 521*z**3 wrt z.
1563*z**2
Let g(s) be the third derivative of 79*s**5/12 - 269*s**4/24 + 2*s**2 + 508*s. What is the second derivative of g(u) wrt u?
790
Suppose -2*i - 29 = 5*n, -2*i - 2*n - n = 19. Let j be i*((-6)/2 - -1). What is the second derivative of -3*t - j*t**3 + 0*t**3 - t**3 wrt t?
-30*t
Let k(r) be the first derivative of 12*r**5/5 + 5*r**2/2 + 53*r + 89. What is the derivative of k(u) wrt u?
48*u**3 + 5
Let q = -370 - -375. Let w(x) be the second derivative of 0 + 0*x**3 + 1/2*x**4 + 0*x**2 - 1/5*x**q + 5*x. What is the third derivative of w(d) wrt d?
-24
Let z(y) be the first derivative of y**4/4 + 78*y**2 - 100*y - 146. Differentiate z(k) wrt k.
3*k**2 + 156
Let q(f) be the first derivative of -93*f**5/5 - 26*f**3/3 - 288. Find the third derivative of q(a) wrt a.
-2232*a
Suppose 16*i - 11*i - 10 = 0. What is the second derivative of -3*w**i - 43*w + 3*w**2 + 16*w**5 + 52*w wrt w?
320*w**3
Suppose -9*w + 3*w = -12. What is the first derivative of -3*t**2 - 4*t**2 + w - 6 wrt t?
-14*t
Find the first derivative of 28 - 25*v**2 + 35*v**2 + 2*v**2 wrt v.
24*v
Suppose -3*p - 9 = -15. Let a(d) = 4*d + 1. Let o be a(p). Find the second derivative of 2*w - o - 6*w**3 + 9 wrt w.
-36*w
Let c(u) = 52*u**4 + u**2 + 50*u. Let g(t) = t**4 - t**2. Let a(j) = -2*c(j) - 2*g(j). Find the second derivative of a(w) wrt w.
-1272*w**2
Suppose 109*p - 55 = 104*p. Differentiate 9 - 1 + 19*c - c + p with respect to c.
18
Let f(w) be the second derivative of 211*w**3/6 + 131*w**2/2 - 65*w. Differentiate f(b) with respect to b.
211
Let i = -13 + 14. Let s be (-5 + 11)/(i + 1). What is the second derivative of h**3 + s*h**3 - 3*h - 5*h**3 wrt h?
-6*h
Let p(d) = -d**3 + 6*d**2 + 10*d - 7. Let u be p(6). What is the third derivative of u*o**5 - 26*o**2 - o**3 - 71*o**5 + o**3 wrt o?
-1080*o**2
Suppose 5*p = 8*p - 12. What is the third derivative of -9*t**p + 9*t**2 - 6*t**4 - 3*t**4 + 4*t**4 wrt t?
-336*t
Let r(u) = -u**2 - u + 2. Let n(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
*i. Let o(g) = j*v(g) - 5*l(g). Let y(h) = 3*h. What is o(y(q))?
3*q
Let j(w) = -4*w**2. Let s(q) = -3*q - 9. Let x be s(-4). Let d(z) be the second derivative of -1/6*z**x + z + 0*z**2 + 0. Give j(d(t)).
-4*t**2
Let r(c) = 2*c + 3. Let i(v) = -5*v - 8. Let b(s) = 3*i(s) + 8*r(s). Let m(y) be the third derivative of y**4/24 - 4*y**2. Give m(b(u)).
u
Let r(x) = 3*x - 147. Let s(d) = -2*d**2. Give s(r(u)).
-18*u**2 + 1764*u - 43218
Let o(j) = 23*j. Let l(d) be the third derivative of d**4/24 - 4*d**2. What is o(l(a))?
23*a
Let n = -8 - -14. Let s(t) = t - 1. Let d(r) = 18*r - 17. Let a(f) = n*d(f) - 102*s(f). Let i(l) = -2*l. Determine i(a(g)).
-12*g
Let j(g) = -g**2 - 67*g + 41. Let q(x) = 2*x**2. Calculate j(q(d)).
-4*d**4 - 134*d**2 + 41
Let h(w) = 6*w + 13. Let a(g) = g + 2. Let x(z) = 39*a(z) - 6*h(z). Let k(y) = -2*y. Give x(k(c)).
-6*c
Let t(b) = -2*b. Let x(v) be the third derivative of v**8/20160 + v**5/60 - 3*v**2. Let l(d) be the third derivative of x(d). Give l(t(p)).
4*p**2
Let c(i) = 4 - 4 - i. Let w(h) = -3*h + 5. Let q(r) be the second derivative of r**3/6 - r**2/2 + 2*r. Let j(v) = -5*q(v) - w(v). Give j(c(a)).
2*a
Suppose 4*m = m + 24. Let u(a) = a - 6. Let y be u(m). Let r(f) = y*f - 5*f + 0*f. Let i(q) = -2*q. What is i(r(b))?
6*b
Let y(l) be the first derivative of 3*l**2/2 + 3. Let v(h) = -h. Give v(y(m)).
-3*m
Let f(d) = -d + 0*d + 3 - 3. Let a(j) = 4*j. What is a(f(q))?
-4*q
Suppose -23 = -4*n - 3*v, -n - 3*v + 4*v - 3 = 0. Let h(w) = w - 5*w + n*w + 4*w. Let c(l) = 2*l. Give c(h(q)).
4*q
Let h(b) = 12*b. Let i(s) = 21*s. Give h(i(w)).
252*w
Let z(j) = 4*j + 3. Let h(o) = 3*o + 2. Let t(r) = 3*h(r) - 2*z(r). Let p(f) = -4*f. Determine t(p(a)).
-4*a
Let v(o) = -o**2. Let x(y) = -y**2 - 11*y**2 + 0 + 0. Calculate v(x(m)).
-144*m**4
Let w(o) = o**2. Let r(i) = i**2 - 3*i + 3. Let k be (4 + 0 - 3) + -4. Let v(p) = -4*p + 4. Let z(q) = k*v(q) + 4*r(q). Determine w(z(c)).
16*c**4
Let p(r) = 14*r. Let l(a) = 15*a**2. Determine l(p(v)).
2940*v**2
Let i(o) = 5*o**2. Let c(t) be the third derivative of 0*t**4 + 1/20*t**5 + 0*t + 5*t**2 + 0*t**3 + 0. What is c(i(u))?
75*u**4
Let k(g) be the second derivative of 0 - 1/4*g**4 + g + 0*g**2 + 0*g**3. Let u(a) = -2*a + 2*a + 2*a. What is k(u(h))?
-12*h**2
Let k(h) be the second derivative of -11*h**3/3 - 8*h. Let r(m) = -2*m**2. Determine r(k(l)).
-968*l**2
Let c(t) = -6*t. Let j(i) = i + 2. Let y(m) = m + 1. Let v(r) = -2*j(r) + 4*y(r). What is c(v(n))?
-12*n
Let q(k) = 4*k + 5*k + 2*k - 4*k. Let z(p) = 2*p. Give z(q(l)).
14*l
Let h(q) = -q**2 + 0*q**2 + 0*q**2. Let m(u) = 24*u**2 + 14*u + 14. Let j(c) = 5*c**2 + 3*c + 3. Let z(g) = 14*j(g) - 3*m(g). What is h(z(x))?
-4*x**4
Let a(m) = 17*m + 9*m - 27*m. Let h(x) = x. Calculate h(a(k)).
-k
Let d(l) = -3*l. Let m(c) = 62*c. Determine m(d(b)).
-186*b
Let l(d) = -29*d. Let i(p) = 12*p**2. Calculate l(i(j)).
-348*j**2
Let m(g) be the first derivative of -g**2/2 + 1. Let j(t) = -t + 3. Let v(w) = -2*w + 7. Let f(c) = 14*j(c) - 6*v(c). Give m(f(b)).
2*b
Let y(x) = -3*x**2. Let w(o) = 22*o**2 + 7*o. Give w(y(i)).
198*i**4 - 21*i**2
Let l(u) = 8*u + 28. Let o(w) = w. Determine o(l(a)).
8*a + 28
Let u(b) = 25*b**2. Let m(y) be the second derivative of y**4/12 - 14*y. Give u(m(o)).
25*o**4
Let k(r) be the second derivative of r**4/4 - 17*r. Let h(m) = 3*m. Give k(h(x)).
27*x**2
Let a(h) be the second derivative of h**4/24 - h**2 - h. Let g(y) be the first derivative of a(y). Let b(o) = o**2. Calculate b(g(v)).
v**2
Let j be 5 - (1 - (-1)/1). Let c(h) = -h + h + j*h. Let r(d) be the third derivative of -d**5/60 + 4*d**2. Determine r(c(y)).
-9*y**2
Let b(w) = -20*w. Let y(t) = -5*t**2. Give y(b(v)).
-2000*v**2
Let t(y) = -3*y**2. Let k(c) = -6*c**2 - 5. Give t(k(u)).
-108*u**4 - 180*u**2 - 75
Let r(j) be the first derivative of -j**6/360 - 2*j**3/3 + 3. Let w(l) be the third derivative of r(l). Let i(o) = 18*o. Determine i(w(u)).
-18*u**2
Let g(w) = -2*w**2 + 5*w. Let b(t) = -t. Let s(c) = -5*b(c) - g(c). Let y(d) be the second derivative of 2*d + 0 + 1/6*d**3 + 0*d**2. Determine s(y(o)).
2*o**2
Let k(l) = -l**2. Let g(b) = 268*b**2. What is k(g(n))?
-71824*n**4
Let x(q) = q**2. Let t(y) = -2*y**2 - 8*y + 10*y - 2*y. Give x(t(d)).
4*d**4
Let o(n) = -3 - n + 3 + 0. Let r(x) = 12*x**2. Determine o(r(p)).
-12*p**2
Let h(s) = 4*s + 95 - 3*s - 95. Let l(u) = 13*u. Determine l(h(m)).
13*m
Let a(j) = j. Let t(f) = 7*f**2 - 2*f. Calculate t(a(h)).
7*h**2 - 2*h
Let t(i) be the third derivative of -i**4/12 + 4*i**2. Let k(s) = 15*s**2. Calculate k(t(y)).
60*y**2
Let a(q) = -3*q**2. Let r(s) = 2*s - 3. Let d(p) = 2*p - 4. Let k(o) = -3*d(o) + 4*r(o). What is k(a(n))?
-6*n**2
Let h(m) = -2*m. Let p(v) = 173*v. Give h(p(c)).
-346*c
Let u(m) = -4*m**2. Let l(r) = 7*r**2. Let o(g) = 6*l(g) + 10*u(g). Suppose -w + 2 = -2. Let v(f) = -f + w*f - 2*f. Determine o(v(i)).
2*i**2
Let n(q) = 3*q**2. Let b(a) be the second derivative of a**4/6 + 17*a. What is n(b(v))?
12*v**4
Let r(m) = m. Let n(f) = -15*f. Determine r(n(k)).
-15*k
Let z(d) = 11*d**2. Let m(f) = -3959*f**2. What is z(m(v))?
172410491*v**4
Let d(c) = -c. Let n be ((-22)/4)/(1/2). Let l = n + 16. Let a(f) = 3 - 3*f + 2 - l. Give d(a(j)).
3*j
Let x(v) = -9*v**2 + 5*v. Let k = 0 - -5. Let g(z) = 4*z**2 - 2*z. Let l(w) = k*g(w) + 2*x(w). Let q(p) = -2*p**2. Determine l(q(n)).
8*n**4
Let l(a) be the third derivative of 0 + 0*a - 4*a**2 - 1/6*a**4 + 0*a**3. Let c(o) = -o**2. Give c(l(i)).
-16*i**2
Let x(d) = -d**2. Let w(l) be the third derivative of l**5/120 - l**3/3 - l**2. Let g(b) be the first derivative of w(b). Give g(x(i)).
-i**2
Let d(f) = 645*f**2 + f. Let k(q) = -6*q**2. Give d(k(h)).
23220*h**4 - 6*h**2
Let h(c) = 32*c. Let l(y) = 5*y + 3. Let a(q) = 6*q + 4. Let w(u) = -3*a(u) + 4*l(u). What is h(w(g))?
64*g
Let s(y) be the second derivative of 5*y**4/4 + 18*y + 2. Let c(u) = 6*u. Give s(c(b)).
540*b**2
Let m(k) = 2*k. Let h(j) = -4*j + 9*j + 2*j - 7 - 6*j. Let s(v) = -3. Let w(y) = 3*h(y) - 7*s(y). Give w(m(f)).
6*f
Let u(o) be the second derivative of o**3 - 2*o. Let n(w) be the third derivative of -w**4/12 - 12*w**2. What is n(u(p))?
-12*p
Let o(y) = 6*y. Let t(p) be the first derivative of -p**2/2 - 4. Determine o(t(c)).
-6*c
Let c(o) = -17*o. Let k(d) = 367 + 0*d - 367 + 2*d. Determine k(c(y)).
-34*y
Suppose -2*j - 5*q = -19, 3*j + 5*q - 28 = -7. Let k be 4 + 6/(-3) + 4. Let g(v) = 6 - k - v**j. Let w(u) = -3*u**2. Calculate g(w(x)).
-9*x**4
Let l(w) = -w. Let s(y) = y + y - 4*y. Determine l(s(g)).
2*g
Suppose -2*j - 2*j = -16. Let y(r) = j*r - 6*r + 2*r - r. Let f(b) = -12*b - 14. Let l(q) = -4*q - 5. Let h(d) = 5*f(d) - 14*l(d). Calculate h(y(k)).
4*k
Let g(t) = -6*t**2. Let k(z) be the third derivative of z**5/15 - 4*z**2. Determine g(k(q)).
-96*q**4
Let t(q) = -23*q**2. Let l(w) = 6*w + 7. Let m(c) = -5*c - 6. Let z(a) = 6*l(a) + 7*m(a). Determine z(t(n)).
-23*n**2
Let x(p) = -2*p. Let b(c) be the second derivative of c**3/3 - 7*c**2/2 + 30*c. Determine b(x(g)).
-4*g - 7
Let g(v) = -1 - 14*v - 4 + 5. Let l(m) = m**2. Give l(g(y)).
196*y**2
Let f(r) = -r. Let i(l) be the third derivative of l**5/40 - l**3/6 - 3*l**2. Let v(z) be the first derivative of i(z). Give f(v(b)).
-3*b
Let r(s) = -12*s**2. Let c(k) = 4*k**2 + 4*k. Calculate c(r(l)).
576*l**4 - 48*l**2
Let f(k) = -3*k**2. Let a(m) = 124 - 2*m**2 - 124 - 4*m**2. What is a(f(q))?
-54*q**4
Let d(j) = 12*j**2. Let k(o) = o. Give d(k(q)).
12*q**2
Let n(j) = -3173*j - 5*j**2 + 3173*j. Let i(r) = r**2. What is n(i(u))?
-5*u**4
Let j(m) = 3*m - 6*m + m. Let a be (-4 + 3)*(-4)/2. Let t(i) = -6 + 4*i**a + 6. Determine j(t(r)).
-8*r**2
Let g(c) = -c**2 - 37. Let d(t) = t + 10. Determine d(g(n)).
-n**2 - 27
Let c(b) = 8*b. Let u(p) = 13*p**2 + 5. Let j(o) = 33*o**2 + 12. Let f(w) = 5*j(w) - 12*u(w). Determine c(f(l)).
72*l**2
Let u(l) = 1725*l. Let p(w) = -2*w**2. Determine p(u(d)).
-5951250*d**2
Let m(s) be the second derivative of s**4/12 + 4*s. Let y(l) = -30*l**2. Calculate m(y(d)).
900*d**4
Let a be (-8)/(-2) - (-5 - -6). Let t(f) = -f + 0*f + a*f. Let z(v) = -3*v**2. Give z(t(w)).
-12*w**2
Let u(s) = -1447*s. Let o(b) = -b. What is o(u(v))?
1447*v
Let x(a) = 7*a**2 + 2. Let z(j) = -j**2 - 1. Let i(d) = -x(d) - 5*z(d). Let u(f) be the fi
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) 4 (c) 299 (d) 2
d
Which is the closest to 2/5? (a) 1/2640 (b) -9 (c) 1/7
c
Which is the nearest to -1318? (a) 3 (b) 2 (c) 12 (d) -0.5
d
Which is the nearest to 4? (a) 0.002 (b) 3 (c) 1/43 (d) 0.3
b
What is the nearest to 0 in 1, -4, -53, -0.4, -17?
-0.4
Which is the closest to 3433? (a) 0 (b) 2/21 (c) -0.5
b
What is the nearest to 0 in 5, 0, 104, 3, 1/5?
0
Which is the nearest to 74? (a) 0.5 (b) -4/9 (c) -4 (d) -0.3
a
What is the nearest to 4 in 18, 2, -2587, -5?
2
What is the closest to 381 in -5, -4, 1/133?
1/133
Which is the nearest to 3/13? (a) 0.1 (b) -4 (c) -0.74 (d) 1 (e) 3
a
Which is the closest to -1? (a) -0.4 (b) -0.1 (c) 35 (d) 17 (e) 3
a
Which is the nearest to 491791? (a) 0 (b) 3 (c) -3 (d) 3/7
b
What is the closest to -2/5 in 2/5, -5/3, -0.02, 836?
-0.02
What is the closest to -0.2 in 1, -1.9, -323/10?
1
Which is the nearest to -2? (a) 24 (b) -108 (c) 5/7
c
Which is the closest to 0? (a) 4 (b) -3 (c) 1/11 (d) 12.6
c
What is the closest to 15/38 in -4, -0.2, -0.1, -3?
-0.1
Which is the nearest to -2/13? (a) 0 (b) -6/7 (c) 5 (d) 1 (e) 0.4
a
What is the closest to 1 in -26, 0.09, 15, 5?
0.09
What is the nearest to -0.1 in -8, -2/21, 15577/3, 4, 2?
-2/21
Which is the nearest to -1/27? (a) -6 (b) 2/7 (c) 0 (d) 0.03
c
Which is the nearest to 1/2? (a) -573 (b) 0.1 (c) -25
b
Which is the nearest to 5? (a) 55 (b) -0.3 (c) 234 (d) 1
d
What is the closest to 0 in 3.9, -0.07, -5?
-0.07
What is the nearest to 1/2 in -1544, 3, 4/3?
4/3
What is the nearest to 0 in 12, -4/5, -8/41, 2/5, 0?
0
What is the closest to 0.09 in -5, -4/7, -1/6, 2?
-1/6
What is the nearest to 0.1 in -0.0936, 16, -3?
-0.0936
Which is the closest to -190? (a) -1/18 (b) -5 (c) -1
b
What is the closest to 0.22 in 233, 2/9, -6?
2/9
Which is the nearest to 1? (a) 14/27 (b) -1/4 (c) -7 (d) 2/15 (e) -0.4
a
What is the nearest to 0 in 2, 22/3, -0.2027?
-0.2027
Which is the closest to 475? (a) -4/17 (b) 2/5 (c) 1/3 (d) -2/19 (e) -5
b
What is the closest to 0 in 2, 11/238, 1?
11/238
Which is the closest to -0.2? (a) -2 (b) 1/17 (c) -0.4 (d) 0.1
c
What is the closest to 0.1 in -2, -3/2, 1.6, -35/139?
-35/139
What is the closest to 0.2 in 7.0211, -4, -10?
-4
Which is the nearest to -6/31? (a) 0.3 (b) 199 (c) 1
a
What is the closest to -6 in -3, 1/8, -2.563, -0.2?
-3
Which is the nearest to -14? (a) 27/7 (b) 9 (c) -13
c
What is the nearest to 1/2 in -2, -0.5, 6.136?
-0.5
Which is the closest to -0.2? (a) -3 (b) -0.09 (c) -4 (d) -0.346
b
What is the nearest to 0.95 in -2/53, -5/2, 3/7?
3/7
Which is the nearest to -1? (a) -2 (b) 2 (c) 6 (d) -0.14623 (e) 4
d
What is the nearest to 2/11 in -255, 5, 10?
5
What is the closest to -0.2 in 5/3, 1, 394, 0.2, -2?
0.2
What is the nearest to 57 in 0.2, -5, -2, -3, 0.3?
0.3
Which is the closest to -0.58? (a) 1.7 (b) -3 (c) -1/22
c
Which is the nearest to -13/4? (a) 38 (b) 8 (c) 0.2 (d) 4 (e) 0.06
e
What is the nearest to 1 in -2, -5, 0.48, 2/27, -1/5?
0.48
Which is the closest to 64? (a) 1/3 (b) -2 (c) 0.3 (d) 3/5
d
What is the closest to -2/3 in -599, -3, -4, 20/7?
-3
What is the closest to -0.1 in 0, -18, 0.04, 0.5, -33?
0
What is the closest to 2/5 in -1022, 1, 0.06?
0.06
Which is the nearest to 1? (a) 5 (b) 1 (c) -1 (d) -0.4 (e) -72.734
b
What is the closest to -0.1 in 16/11, 224, -3, -4?
16/11
Which is the closest to -4? (a) 0.4 (b) 739 (c) -0.4 (d) -2/7
c
What is the nearest to 2/23 in -1/8, -64, 1, -0.08, -0.6?
-0.08
Which is the nearest to 0.1? (a) 1/9 (b) 0.147 (c) 0
a
Which is the closest to -1/385? (a) 1 (b) -1/12 (c) 2/21
b
What is the nearest to -0.1 in 15647, -3, 5, -2/3?
-2/3
What is the closest to 192/13 in -4, 0.2, -1/9, 2/9?
2/9
What is the closest to -1 in 27, 0, 14/3?
0
Which is the nearest to 1/2? (a) 0.09 (b) 0.1 (c) 2/9 (d) -244/5
c
What is the closest to 2 in -3/2, -1/2, 0.3, 417?
0.3
What is the closest to 5 in 0.1, -358, 0.2?
0.2
What is the nearest to 2/7 in 5, 4, -16/37, 2?
-16/37
What is the closest to -1 in 543.2, 109, -4?
-4
What is the closest to -31/38 in -0.05, -0.04, 2/7?
-0.05
What is the nearest to -10 in -0.0464, -3, -0.3?
-3
What is the nearest to 5668 in 2, 7/2, -1?
7/2
Which is the nearest to -2/25? (a) 3 (b) 0.021 (c) -5 (d) 5 (e) -3
b
What is the nearest to -2 in -0.2, 1/13, 0.402?
-0.2
What is the nearest to 3 in -0.6, -3/2, 3?
3
Which is the nearest to -1? (a) 1.7 (b) -2/7 (c) 250
b
What is the nearest to -0.1 in 4, 12, -55, 6?
4
Which is the nearest to 0? (a) 8 (b) 1.415 (c) -0.3
c
What is the closest to 1/12 in -3, -1, 1206?
-1
Which is the closest to 3? (a) 3/5 (b) 4 (c) 0.5 (d) -4153
b
Which is the nearest to -1? (a) 0.26 (b) -4 (c) -3 (d) -2/9 (e) 18
d
Which is the nearest to 0.06? (a) 2/11 (b) 1.6 (c) -8/43
a
Which is the closest to -1? (a) 0.2 (b) -53 (c) -2/15 (d) -0.5
d
What is the nearest to -0.1 in -3, -5, -84.4, 2/7?
2/7
What is the nearest to -2/7 in 6, -16, -3/2?
-3/2
What is the closest to -2 in 0.3, -2, -42/221, -4/7, 0.2?
-2
What is the closest to -0.1 in -2/11, -5, -0.1, 0.03957, 0.5?
-0.1
Which is the closest to 10? (a) -262 (b) -4 (c) 0.07
c
Which is the nearest to 0? (a) -3 (b) -10/3 (c) -3/7 (d) -1
c
What is the nearest to -1/2 in -2/7, 19815, -0.3, -1/4?
-0.3
What is the nearest to 0.1 in 0.02, 4, -107.1, 1/3?
0.02
What is the closest to -5 in -2, 213, -1/7?
-2
What is the nearest to -16/3 in 0.9, 0, -4, 0.3, -2/7?
-4
What is the closest to -2/7 in -0.04, -37, 0.3, -5?
-0.04
Which is the nearest to -6/7? (a) 1/6 (b) -25 (c) -2
a
What is the nearest to 0.2 in 0.3, 1/13, -448?
0.3
What is the nearest to -0.9 in 1/4, -1, 3/5, 3.9?
-1
Which is the closest to -5131? (a) 0 (b) 6/7 (c) -0.1 (d) -3/5
d
Which is the closest to -48/11? (a) -0.5 (b) 1 (c) -2393
a
What is the closest to 1/11846 in -4, 2/7, 2?
2/7
What is the closest to -15 in -5, 0.01, -35?
-5
What is the closest to -3/3440 in -2/5, -0.2, 0.3, 1/2, 0.2?
-0.2
Which is the closest to -1? (a) -0.07 (b) -1 (c) 1/5 (d) -1/3
b
Which is the nearest to 5? (a) -2/11 (b) -2/17 (c) 0.4 (d) -2/7121 (e) -5
c
Which is the closest to 0.009? (a) -2/3 (b) 16 (c) 3/2 (d) -2
a
What is the nearest to -1/4 in 3/2, -0.1, -4, -0.6?
-0.1
What is the nearest to -11/4 in 0.3, 9, -3/4, 2?
-3/4
Which is the nearest to -0.212? (a) -1/7 (b) 1 (c) -1.9 (d) 0.06
a
What is the closest to -2 in -14/13, -49, -12?
-14/13
Which is the nearest to -52/45? (a) 2 (b) -2 (c) -5 (d) -3/7
d
Which is the closest to -50? (a) -1404 (b) -3 (c) 5/4
b
Which is the closest to 4? (a) -1/2 (b) -0.026 (c) -7.2
b
Which is the closest to 6? (a) -59/2 (b) -0.41 (c) -3/2
b
Which is the closest to -10? (a) -5 (b) -0.5 (c) -4/5 (d) 0.42 (e) 3
a
Which is the closest to -42? (a) -3 (b) -73 (c) 0.022
b
Which is the closest to 0? (a) 0.2 (b) -61 (c) -0.6 (d) 2/21
d
Which is the closest to 1/3? (a) -0.05 (b) 2.4 (c) 11/4
a
Which is the nearest to -563? (a) -10/3 (b) -4 (c) -2 (d) 2 (e) 4/3
b
Which is the closest to -17/58? (a) 0.2 (b) -2 (c) -0.1
c
What is the closest to 13.3 in 0.1, 3, 2/11?
3
What is the nearest to -2/3 in 0.1, 2, -11/4, -26/59, -2/9?
-26/59
What is the closest to 7 in -1/3, 0.3, -1/8, -155?
0.3
Which is the nearest to -405? (a) -2/7 (b) 183 (c) 1/5
a
What is the nearest to -1/2 in 0, 1433, -25, -4?
0
What is the nearest to -19 in 0.05, 0.3, -21/8?
-21/8
Which is the nearest to -9? (a) -1 (b) 435 (c) 1/6
a
What is the nearest to 1 in -3/7, -39/8, 0.11?
0.11
Which is the nearest to 7? (a) -3/8 (b) 0 (c) -38 (d) -2/17
b
What is the nearest to 2.6 in -81, -5, -0.4, -0.3, 0.06?
0.06
Which is the closest to -3/7? (a) 239 (b) -15 (c) 1/4 (d) -3/8 (e) -2/11
d
What is the nearest to 0 in 2666/5, -1/6, 3.8?
-1/6
Which is the closest to -2/7? (a) -1 (b) -1/6 (c) -4916
b
What is the closest to -8 in 3.26, -1, 26/3, 0.3?
-1
Which is the closest to -13/41? (a) 5 (b) -1/3 (c) 0.049
b
What is the closest to 4 in 5.5, 3, 3/5, -1/6?
3
Which is the closest to 7/6? (a) -22 (b) -2/17 (c) 22
b
What is the closest to 0 in 3, 5531, 0.5?
0.5
What is the nearest to 0.2 in -3, 1, -3/7, -15, 2?
-3/7
Which is the closest to -2/3? (a) 0.1 (b) 1.1 (c)
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{
"pile_set_name": "DM Mathematics"
}
|
b - 3*b + 30 = 0. Suppose -2*z - b = -0*z. Let u(a) = 17*a + 11. Let o(d) = 37*d + 24. Let v(q) = -6*o(q) + 13*u(q). Calculate v(z).
4
Let n(c) = c**2 - 9*c + 8. Let l be n(8). Let h(o) be the third derivative of o**5/60 - o**4/24 + 2*o**3/3 - 2*o**2. Determine h(l).
4
Let s(t) be the third derivative of t**5/60 - t**4/24 + t**3/3 + 165*t**2. Give s(-4).
22
Let t(l) = -3*l - 2. Suppose -10*y + 20 = -6*y. Suppose y*d + 66 = 16*d. Give t(d).
-20
Let l(p) = -3*p - 1. Let v(g) = g**3 - 6*g**2 + 3*g + 4. Let t be v(5). Let x = 9 + t. Suppose -4 + x = i. What is l(i)?
2
Let x(z) = z**3 + 10*z**2 + 9*z + 21. Let u be x(-9). Suppose 3*t - u = -3*g, -4*g - 2*t = -5*t. Let s(d) = 2*d**2 + d - 3. Calculate s(g).
18
Let y(r) = -2*r + 1. Let w be (-7)/(1 + 0/1). Let t(x) be the first derivative of -x**2/2 + x + 118. Let m(u) = w*t(u) + 4*y(u). What is m(6)?
-9
Let s = 1232 + -1235. Let b(r) = -r**2 - 9*r - 20. Determine b(s).
-2
Let p(t) be the first derivative of -3*t**2/2 + 12*t - 23. Calculate p(11).
-21
Let f(n) be the first derivative of -n**3/3 - 8*n**2 - 27*n + 371. Calculate f(-12).
21
Let t(o) be the second derivative of -o**5/20 + 2*o**2 + 47*o. What is t(0)?
4
Let q(v) = 37*v - v**3 - 18*v - 9*v**2 - 28*v - 8. Determine q(-8).
0
Let a(u) be the third derivative of -u**4/24 - 2*u**3/3 + 60*u**2. What is a(3)?
-7
Let r be -4 - 1/(2/(-4)) - -2. Let j(y) = 12*y - 9*y + 4 + r*y**3 - y**3 - 7*y**2. Give j(-7).
-17
Let m(x) = -x**2 - 7*x. Let t be m(-6). Let p(y) = 3*y**3 - 52*y**2 + 3*y + 9. Let h(w) = w**3 - 18*w**2 + w + 3. Let v(c) = -17*h(c) + 6*p(c). Determine v(t).
9
Let f = -50 - -56. Suppose f*j - 5*j + 3 = 0. Let d(i) = 12*i + 6. Let h(s) = -6*s - 3. Let v(u) = 2*d(u) + 5*h(u). Calculate v(j).
15
Let m(w) = 306*w**2 - 152*w**2 - 2 - 155*w**2 + 4*w. What is m(3)?
1
Let d(y) = y**3 + 6*y**2 + y + 8. Suppose -5*k + b - 26 = -205, 0 = 5*k - 4*b - 191. Suppose -4*x - k + 11 = 0. Calculate d(x).
2
Let l = 896 - 894. Let b(m) = 7*m. Calculate b(l).
14
Let v(p) = p**3 - 19*p**2 + 19*p - 18. Let y be v(18). Let w(s) be the second derivative of 4*s**2 - 1/6*s**3 + 2*s - 1/12*s**4 + 0. Determine w(y).
8
Suppose -17 = -9*k - 35. Let u(f) = -2*f + 4*f - 3*f. Calculate u(k).
2
Let h(q) = 3*q + 9. Let n(b) = 6 - 11*b + 24*b + 29. Let v = -2 + -7. Let o(u) = v*h(u) + 2*n(u). What is o(-7)?
-4
Let j(i) = 5*i**2 - 8*i - 1. Let v(r) = -r**2 - r. Let h(t) = -t**2 - 13*t. Let m(c) = h(c) - 6*v(c). Let z(n) = 3*j(n) - 4*m(n). Calculate z(2).
-15
Let g(n) = n**2 + 21*n - 26. Let c be 22*9/(-9 - 0). Give g(c).
-4
Let m(t) be the first derivative of t**4/4 - 7*t**3/3 + 7*t**2/2 - 2*t + 169. Let u = -2 - -5. Suppose w + 17 = 2*d, d + 3*w + u = -d. Determine m(d).
4
Let n(o) = 157*o - 78*o - 84*o - o**2 - 1. What is n(-6)?
-7
Let o(j) = -j + 37. Let x be o(38). Let r(u) = -u + 1. Give r(x).
2
Let t(m) = -9*m - 8. Let p(q) = 8*q + 8. Let l = -6 + 1. Let v(h) = l*t(h) - 6*p(h). Let n be 1/(-4) + (-138)/24. Calculate v(n).
10
Let u be (2 - 5) + 3 - (-6)/(-3). Let z(p) be the second derivative of 0 - 1/6*p**4 - 1/20*p**5 + 0*p**2 + 1/6*p**3 - 2*p. What is z(u)?
-2
Let d(c) = -31*c - 6. Let z(g) = 16*g + 3. Let k(y) = -4*d(y) - 9*z(y). Give k(-2).
37
Let k(c) = -c**3 - 12*c**2 + 13. Let p be 20/75*-10*(-18)/(-4). Determine k(p).
13
Let a(d) be the first derivative of -2*d + 3/2*d**2 - 2. Let g(c) = 7*c - 5. Let f(o) = 5*a(o) - 2*g(o). Calculate f(3).
3
Suppose -5*s - 17 - 4 = -4*i, -4*i = -16. Let f(h) = 4*h**2 - 2*h - 2. Determine f(s).
4
Let l(q) be the second derivative of q**5/20 + q**4/3 + q**3/2 - 2*q**2 - 7*q. Let r be (-10 + -2)*10/(-15). Suppose 0 = -x - 2, -4*z - 4*x = r + 12. Give l(z).
-4
Let p(k) = k**3 - 4*k**2 - 5*k + 4. Suppose 5*g + 3*m - 140 = -m, 5*g = 3*m + 105. Suppose -i + w + 2*w = -g, w + 23 = 2*i. Let v = i - 4. What is p(v)?
4
Let c(n) = n - 3. Suppose -5*y - 5*y + 60 = 0. Let r = 1 - 4. Let i be (r + 3)*(-2)/y. Give c(i).
-3
Let u(i) = 27*i - 9*i - 8*i + 8 - 8*i - 2. Determine u(-2).
2
Let i(g) = g**2 - 2*g - 6. Let f be 758/8 - (-9)/36. Let s = -99 + f. Give i(s).
18
Let z(g) be the third derivative of g**5/60 + 5*g**4/12 + 2*g**3/3 + 219*g**2. Determine z(-4).
-20
Let p = -12 + 10. Let b be p/(-1 + -1)*-3. Let n(m) = -m**3 - m**2 - 6*m + 7. Let f(c) = 2*c**3 + c**2 + 13*c - 15. Let y(i) = 3*f(i) + 7*n(i). Give y(b).
4
Let s(v) = -v**2 - 3*v - 1. Let y(r) = r + 6. Let z be y(-9). Let j be 18/(-1) + 1 - z. Let h = j - -10. Give s(h).
-5
Let m(g) = -2*g + 1. Suppose 5*p + i = 367, p + 5*i - 375 = -4*p. Let a = 75 - p. Calculate m(a).
-3
Let s be 22/(-242) + 135/33. Let r(z) = -3*z**2 - z + 1. Give r(s).
-51
Suppose -14 = -5*s + 1. Let t(b) = -9 - 2*b - b**3 - 473*b**2 + 482*b**2 + s*b. Calculate t(9).
0
Let o(j) be the first derivative of j**2/2 - 3*j - 290. Determine o(-6).
-9
Suppose -2*i = -4*n - 18, -3*i + n + 22 = i. Let z(u) = -3*u**2 - 30*u - 1. Let c(v) = 2*v**2 + 24*v + 2. Let q(b) = 4*c(b) + 3*z(b). What is q(i)?
10
Let l(p) = -p**3 + 6*p**2 + 12. Suppose 0 = 19*b + 76 - 190. Calculate l(b).
12
Let u(b) = -b**2 - 12*b + 67. Let l be u(-16). Let v(t) = -6*t + 12. What is v(l)?
-6
Suppose -6*g + 109 - 19 = 0. Suppose 0 = 12*o - 15*o - g. Let l(n) = -n**2 - 7*n - 6. What is l(o)?
4
Let j(m) = -m + 4295 + 4284 - 8579. Calculate j(-3).
3
Let o(p) = -p**2 + 7*p - 11. Let b(h) = -3*h**2 - 40*h - 7. Let w be b(-13). Calculate o(w).
-5
Let a(w) = -w + 9. Suppose 0 = 10*n - 12*n + 32. Suppose -b = 4*i - n, 4*b + 0 = 4*i + 4. Suppose -y - 18 = -b*y. What is a(y)?
3
Let i(q) = q**3 + 5*q**2 + 5*q + 2. Let s(j) = 4*j**3 + 3*j**2 + 3*j**2 + 1 - 5*j**3. Let a be s(6). Let g be (-1 - a/2)*2. What is i(g)?
5
Let d be (2/3)/(34/255). Let s(f) = f**3 - 7 + 0*f**3 + 0*f**3 - 6*f**2 + 8*f + 4. What is s(d)?
12
Let y(v) = 2 + v**2 - 1 + 2 + 1 - 5*v. Let x be y(4). Let d(j) = 2*j**2 - 3*j**2 - j + 0*j + 0*j**2 + 1. Calculate d(x).
1
Let f(h) = h - 48. Let d be f(45). Let o(i) = -8*i - 2. Give o(d).
22
Let b(w) = 10*w**2 - 88*w + 25*w - 12 - w**3 + 25*w + 30*w. Calculate b(9).
-3
Let j be 15*(350/(-15))/(-7). Let q be 5/(j/4)*-5. Let c(d) = 2*d - 1. Determine c(q).
-5
Let m be 1/1*(-15 + 9). Let d(g) = 4*g + 19. Let c be d(m). Let n(j) = 3 + 2*j + 0*j + 0. Determine n(c).
-7
Let m(d) = -d**3 - 6*d**2 - d - 7. Let w be ((-6)/5)/(7/35). Calculate m(w).
-1
Suppose 2*o - 24 = -16. Let p(k) = -5*k - 1. Let x(a) = -33*a + 1. Let b(r) = -8*r. Let s(q) = -9*b(q) + 2*x(q). Let d(u) = o*p(u) + 3*s(u). Give d(3).
-4
Let s = -7 - -9. Let b(m) = -m - s*m + 2 + 2*m. Suppose 3*o - 9 - 9 = 0. Determine b(o).
-4
Let x = 10 + 1. Suppose 5*b - 20 = 0, -4*l + 25 = 5*b - x. Let p(d) = -l*d - 5*d**3 + 14*d**2 - 11*d**2 + 6*d**3 - 4. What is p(-4)?
-4
Let g(v) = 44 - 46 - 4*v + 7*v. Calculate g(3).
7
Suppose 4*n = -2*f - 34, 5*n + f = 6*f - 5. Let h = -2 + 8. Let g(y) = -3*y**2 - 2 + 2*y**2 - 10*y - h. Give g(n).
16
Let g(h) be the third derivative of h**5/60 + 5*h**4/24 + h**2. Suppose 9*d = 32*d + 115. Calculate g(d).
0
Suppose 3*v - 4*o - 40 = -17, -2*v + 3*o = -17. Let d(k) = -10*k**3 + 2*k**2 - 2*k + 1. Calculate d(v).
-9
Let t(h) = -h**2 - 7*h - 4. Suppose -2 = q - 2*q. Suppose 0 = -o - 0*o + q*k + 16, o = k + 14. Let r(p) = p - 17. Let s be r(o). What is t(s)?
6
Let j(f) = f**2 + 7*f + 11. Suppose -64 = 16*k - 8*k. Determine j(k).
19
Let h(j) be the third derivative of -7*j**4/24 + 7*j**2. Suppose 6*l = 3*z + l - 6, 4*l - 3 = 5*z. Determine h(z).
21
Let f(r) = 4*r**3 - 10*r**2 - 5*r - 5. Let k(c) be the first derivative of 3/4*c**4 - 5/2*c**2 - 5*c - 1 - 3*c**3. Let t(a) = 4*f(a) - 5*k(a). Determine t(-4).
1
Let f = 19 - 15. Let r(m) = -14*m + 5. Let h(d) = 15*d - 5. Let q(y) = 6*h(y) + 7*r(y). Let k(p) = -7*p + 4. Let b(t) = f*k(t) - 3*q(t). Calculate b(2).
-7
Let m = 2 + 3. Let s = m + 15. Suppose -3*r + s = r. Let z(u) = u**2 - 6*u + 6. What is z(r)?
1
Let d(b) be the first derivative of 7*b**3/3 + 3*b**2/2 + 2*b + 213. What is d(-3)?
56
Let u(g) = 1604*g - 11 - 1603*g + 6 + 6 - 7*g**3. Suppose -z = 2*z + 3. Give u(z).
7
Let z(b) = -5*b**3 + 8*b**2 + 31*b + 9. Let q(m) = 2*m**3 - 5*m**2 - 15*m - 5. Let t(s) = 7*q(s) + 3*z(s). Calculate t(-10).
12
Let w be (-27)/(-12)*(-20)/105*-14. Let x(o) = -o**2 + 4*o - 2. Give x(w).
-14
Let k = -1691/6 + 282. Let a(x) be the third d
|
{
"pile_set_name": "DM Mathematics"
}
|
e the remainder when 1198 is divided by 8.
6
What is the remainder when 462 is divided by 93?
90
Calculate the remainder when 10506 is divided by 31.
28
What is the remainder when 104 is divided by 7?
6
What is the remainder when 1068 is divided by 22?
12
What is the remainder when 138 is divided by 59?
20
Calculate the remainder when 385 is divided by 39.
34
Calculate the remainder when 68 is divided by 53.
15
What is the remainder when 2043 is divided by 31?
28
What is the remainder when 277 is divided by 70?
67
Calculate the remainder when 288 is divided by 49.
43
Calculate the remainder when 1176 is divided by 59.
55
What is the remainder when 454 is divided by 25?
4
What is the remainder when 104 is divided by 45?
14
Calculate the remainder when 3280 is divided by 1089.
13
Calculate the remainder when 83 is divided by 13.
5
Calculate the remainder when 9331 is divided by 61.
59
Calculate the remainder when 49 is divided by 16.
1
What is the remainder when 1577 is divided by 79?
76
Calculate the remainder when 233 is divided by 78.
77
Calculate the remainder when 23487 is divided by 367.
366
Calculate the remainder when 8254 is divided by 192.
190
What is the remainder when 6873 is divided by 16?
9
What is the remainder when 425 is divided by 134?
23
Calculate the remainder when 4987 is divided by 9.
1
What is the remainder when 616 is divided by 103?
101
What is the remainder when 24904 is divided by 85?
84
Calculate the remainder when 92 is divided by 51.
41
What is the remainder when 2365 is divided by 14?
13
Calculate the remainder when 1516 is divided by 260.
216
What is the remainder when 325 is divided by 38?
21
Calculate the remainder when 778 is divided by 20.
18
What is the remainder when 835 is divided by 114?
37
What is the remainder when 3227 is divided by 19?
16
What is the remainder when 536 is divided by 10?
6
Calculate the remainder when 18 is divided by 8.
2
Calculate the remainder when 232 is divided by 30.
22
What is the remainder when 343 is divided by 77?
35
What is the remainder when 1001 is divided by 238?
49
What is the remainder when 133 is divided by 21?
7
What is the remainder when 539 is divided by 5?
4
Calculate the remainder when 7530 is divided by 342.
6
Calculate the remainder when 1525 is divided by 153.
148
Calculate the remainder when 717 is divided by 20.
17
What is the remainder when 620 is divided by 24?
20
What is the remainder when 322 is divided by 43?
21
Calculate the remainder when 339 is divided by 66.
9
What is the remainder when 785 is divided by 114?
101
What is the remainder when 2395 is divided by 25?
20
What is the remainder when 47 is divided by 34?
13
What is the remainder when 183 is divided by 41?
19
What is the remainder when 39 is divided by 8?
7
What is the remainder when 1778 is divided by 16?
2
Calculate the remainder when 29479 is divided by 55.
54
Calculate the remainder when 63 is divided by 52.
11
What is the remainder when 177 is divided by 120?
57
What is the remainder when 361 is divided by 63?
46
Calculate the remainder when 1090 is divided by 122.
114
What is the remainder when 86 is divided by 71?
15
Calculate the remainder when 770 is divided by 132.
110
What is the remainder when 873 is divided by 147?
138
What is the remainder when 151 is divided by 76?
75
Calculate the remainder when 1096 is divided by 184.
176
Calculate the remainder when 72 is divided by 62.
10
What is the remainder when 27 is divided by 11?
5
What is the remainder when 147 is divided by 15?
12
Calculate the remainder when 541 is divided by 116.
77
Calculate the remainder when 222 is divided by 57.
51
Calculate the remainder when 148 is divided by 59.
30
What is the remainder when 170 is divided by 3?
2
What is the remainder when 918 is divided by 74?
30
What is the remainder when 90 is divided by 25?
15
What is the remainder when 1176 is divided by 169?
162
Calculate the remainder when 551 is divided by 12.
11
What is the remainder when 2350 is divided by 14?
12
What is the remainder when 219 is divided by 17?
15
Calculate the remainder when 97 is divided by 50.
47
Calculate the remainder when 3798 is divided by 29.
28
Calculate the remainder when 31956 is divided by 136.
132
What is the remainder when 211 is divided by 18?
13
What is the remainder when 318 is divided by 91?
45
What is the remainder when 350 is divided by 183?
167
Calculate the remainder when 1276 is divided by 71.
69
What is the remainder when 749 is divided by 16?
13
Calculate the remainder when 2079 is divided by 80.
79
What is the remainder when 86 is divided by 27?
5
What is the remainder when 255 is divided by 19?
8
What is the remainder when 1482 is divided by 93?
87
What is the remainder when 10580 is divided by 108?
104
What is the remainder when 121 is divided by 38?
7
Calculate the remainder when 524 is divided by 102.
14
Calculate the remainder when 140 is divided by 17.
4
Calculate the remainder when 1294 is divided by 146.
126
What is the remainder when 47 is divided by 37?
10
What is the remainder when 48 is divided by 16?
0
Calculate the remainder when 1444 is divided by 63.
58
Calculate the remainder when 172 is divided by 44.
40
Calculate the remainder when 868 is divided by 122.
14
Calculate the remainder when 1936 is divided by 47.
9
Calculate the remainder when 36 is divided by 8.
4
Calculate the remainder when 289 is divided by 21.
16
What is the remainder when 643 is divided by 52?
19
What is the remainder when 2556 is divided by 14?
8
What is the remainder when 194 is divided by 60?
14
What is the remainder when 36 is divided by 14?
8
What is the remainder when 78 is divided by 14?
8
What is the remainder when 3637 is divided by 35?
32
Calculate the remainder when 535 is divided by 18.
13
Calculate the remainder when 35442 is divided by 23.
22
What is the remainder when 101 is divided by 3?
2
What is the remainder when 291 is divided by 25?
16
Calculate the remainder when 351 is divided by 44.
43
What is the remainder when 237 is divided by 75?
12
What is the remainder when 2629 is divided by 785?
274
Calculate the remainder when 859 is divided by 251.
106
What is the remainder when 3629 is divided by 15?
14
What is the remainder when 467 is divided by 36?
35
What is the remainder when 1146 is divided by 371?
33
What is the remainder when 4061 is divided by 21?
8
What is the remainder when 3203 is divided by 18?
17
Calculate the remainder when 44 is divided by 5.
4
What is the remainder when 1243 is divided by 9?
1
Calculate the remainder when 153 is divided by 51.
0
What is the remainder when 608 is divided by 200?
8
What is the remainder when 4397 is divided by 88?
85
Calculate the remainder when 82 is divided by 11.
5
Calculate the remainder when 176 is divided by 23.
15
Calculate the remainder when 132 is divided by 80.
52
Calculate the remainder when 1158 is divided by 83.
79
What is the remainder when 237 is divided by 24?
21
Calculate the remainder when 5681 is divided by 90.
11
What is the remainder when 133 is divided by 67?
66
What is the remainder when 79 is divided by 20?
19
Calculate the remainder when 209 is divided by 27.
20
Calculate the remainder when 102 is divided by 58.
44
What is the remainder when 1233 is divided by 103?
100
Calculate the remainder when 199 is divided by 50.
49
Calculate the remainder when 211 is divided by 60.
31
What is the remainder when 534 is divided by 90?
84
What is the remainder when 2710 is divided by 446?
34
What is the remainder when 162 is divided by 78?
6
Calculate the remainder when 34 is divided by 4.
2
Calculate the remainder when 1538 is divided by 5.
3
Calculate the remainder when 648 is divided by 65.
63
What is the remainder when 479 is divided by 4?
3
Calculate the remainder when 800 is divided by 329.
142
Calculate the remainder when 640 is divided by 6.
4
What is the remainder when 1439 is divided by 37?
33
Calculate the remainder when 1599 is divided by 10.
9
What is the remainder when 478 is divided by 96?
94
Calculate the remainder when 827 is divided by 104.
99
Calculate the remainder when 649 is divided by 132.
121
Calculate the remainder when 157 is divided by 20.
17
Calculate the remainder when 318 is divided by 14.
10
What is the rem
|
{
"pile_set_name": "DM Mathematics"
}
|
0808.7183s to days.
0.12510090625
What is 17/2 of a centimeter in millimeters?
85
What is 10/3 of a decade in months?
400
Convert 504354.4 days to hours.
12104505.6
How many meters are there in 6596.51um?
0.00659651
How many nanograms are there in 0.2986709 tonnes?
298670900000000
Convert 64878.92 millennia to months.
778547040
Convert 0.5067583 days to nanoseconds.
43783917120000
How many milligrams are there in 37.29039 nanograms?
0.00003729039
What is 21.75903m in nanometers?
21759030000
How many milliseconds are there in 25/2 of a second?
12500
How many millimeters are there in fifty-five halves of a centimeter?
275
How many kilometers are there in 67.97552mm?
0.00006797552
How many millimeters are there in 0.7031832 centimeters?
7.031832
How many tonnes are there in 80.77721mg?
0.00000008077721
How many microseconds are there in 585.49 minutes?
35129400000
How many nanometers are there in 3/32 of a millimeter?
93750
How many millilitres are there in 54/5 of a litre?
10800
How many centimeters are there in 1/4 of a kilometer?
25000
What is 11/8 of a kilogram in grams?
1375
Convert 95989.11 milligrams to nanograms.
95989110000
How many meters are there in 699809.9um?
0.6998099
What is seven quarters of a millennium in months?
21000
Convert 477520.2 hours to microseconds.
1719072720000000
Convert 5.3468397 seconds to days.
0.00006188471875
Convert 849271.4 minutes to milliseconds.
50956284000
Convert 2.389322g to tonnes.
0.000002389322
Convert 352.4117ml to litres.
0.3524117
What is 13/4 of a milligram in micrograms?
3250
What is 51/4 of a gram in milligrams?
12750
How many grams are there in 951.8298ng?
0.0000009518298
What is nineteen quarters of a litre in millilitres?
4750
Convert 7.738557 months to millennia.
0.00064487975
How many kilograms are there in 13/5 of a tonne?
2600
What is 4539.438cm in millimeters?
45394.38
Convert 72.2952l to millilitres.
72295.2
What is 3.4385484 days in weeks?
0.4912212
What is 52.2161 millimeters in nanometers?
52216100
How many decades are there in six fifths of a millennium?
120
How many millennia are there in 826024.1 centuries?
82602.41
Convert 278240.5 nanometers to kilometers.
0.0000002782405
Convert 16926499.8s to weeks.
27.9869375
How many years are there in twenty-one halves of a century?
1050
How many months are there in five sixths of a decade?
100
How many milligrams are there in 849738.2 micrograms?
849.7382
How many grams are there in one tenth of a tonne?
100000
How many millilitres are there in 27/2 of a litre?
13500
How many tonnes are there in 4.758057ug?
0.000000000004758057
What is 499487.2 years in months?
5993846.4
What is thirteen fifths of a litre in millilitres?
2600
What is 13/4 of a kilometer in meters?
3250
How many nanograms are there in 9054.88kg?
9054880000000000
What is one quarter of a meter in centimeters?
25
What is eleven tenths of a litre in millilitres?
1100
How many years are there in one fifth of a decade?
2
What is 485030.42 days in weeks?
69290.06
What is 8.098519ml in litres?
0.008098519
What is 8810.842ug in grams?
0.008810842
How many milliseconds are there in 12/25 of a second?
480
What is 14309.36 milligrams in tonnes?
0.00001430936
How many milliseconds are there in one sixth of a minute?
10000
Convert 7454.19 months to millennia.
0.6211825
What is 613.8155 centuries in millennia?
61.38155
How many micrograms are there in 0.6678438g?
667843.8
Convert 926654.8 millilitres to litres.
926.6548
What is 0.5268157 litres in millilitres?
526.8157
How many years are there in 87748.68 centuries?
8774868
What is 3/25 of a litre in millilitres?
120
What is 4.209899 millilitres in litres?
0.004209899
What is thirty-seven halves of a year in months?
222
What is seven eighths of a millisecond in microseconds?
875
What is 3/40 of a litre in millilitres?
75
What is 13/5 of a kilogram in grams?
2600
What is 7.952648kg in micrograms?
7952648000
What is 5872.26591 minutes in weeks?
0.5825660625
Convert 25.65205m to kilometers.
0.02565205
How many litres are there in 744.4531ml?
0.7444531
What is 3/8 of a litre in millilitres?
375
What is 21/4 of a gram in milligrams?
5250
How many millilitres are there in 26/5 of a litre?
5200
How many minutes are there in 1.2108345 nanoseconds?
0.000000000020180575
Convert 5152.016nm to centimeters.
0.0005152016
What is 8695.494 years in centuries?
86.95494
What is 9749.088 millilitres in litres?
9.749088
Convert 809688.1 centuries to months.
971625720
Convert 0.4952937 years to millennia.
0.0004952937
How many litres are there in 0.5406423ml?
0.0005406423
Convert 711.6491 days to milliseconds.
61486482240
How many millilitres are there in 3/25 of a litre?
120
How many nanometers are there in seventeen halves of a micrometer?
8500
How many grams are there in seventeen quarters of a kilogram?
4250
How many millilitres are there in 13/4 of a litre?
3250
How many minutes are there in 0.4137661 days?
595.823184
Convert 63184.98t to milligrams.
63184980000000
What is five eighths of a kilometer in meters?
625
How many millilitres are there in seven halves of a litre?
3500
How many years are there in fifty-one halves of a millennium?
25500
What is 3/40 of a millimeter in nanometers?
75000
What is sixty-one quarters of a tonne in kilograms?
15250
How many minutes are there in 31/2 of a hour?
930
How many decades are there in 8640.866 millennia?
864086.6
How many minutes are there in 1/30 of a hour?
2
How many decades are there in fifty-two fifths of a millennium?
1040
How many litres are there in 432.3914 millilitres?
0.4323914
Convert 16279482.87ms to weeks.
0.026917134375
How many micrograms are there in 0.6682525 milligrams?
668.2525
How many grams are there in 3/25 of a kilogram?
120
What is 3/25 of a meter in millimeters?
120
How many milliseconds are there in three sixteenths of a minute?
11250
Convert 592557.3l to millilitres.
592557300
What is 34.92135um in millimeters?
0.03492135
How many micrometers are there in 1/20 of a millimeter?
50
Convert 8.3364um to meters.
0.0000083364
Convert 492.0208m to kilometers.
0.4920208
Convert 0.198435 minutes to milliseconds.
11906.1
What is eleven quarters of a millennium in months?
33000
What is 6/5 of a day in minutes?
1728
How many minutes are there in eighteen fifths of a week?
36288
Convert 95548.09 decades to months.
11465770.8
How many days are there in 25.2153972 microseconds?
0.000000000291844875
How many decades are there in 0.5527374 centuries?
5.527374
What is 8498.223 millennia in months?
101978676
How many milligrams are there in 5/8 of a gram?
625
What is 17/2 of a kilometer in meters?
8500
What is one fifth of a decade in months?
24
What is 29/5 of a kilogram in grams?
5800
How many months are there in 23425.33 millennia?
281103960
How many millilitres are there in 1/4 of a litre?
250
Convert 1096.2 weeks to nanoseconds.
662981760000000000
Convert 3884.37mg to grams.
3.88437
What is seven halves of a litre in millilitres?
3500
Convert 5.5452999 hours to weeks.
0.0330077375
How many meters are there in 47.47747um?
0.00004747747
How many millilitres are there in 54/5 of a litre?
10800
What is fourty-one halves of a litre in millilitres?
20500
What is 4307.426 micrograms in tonnes?
0.000000004307426
How many months are there in 4/3 of a decade?
160
What is fifty-three fifths of a litre in millilitres?
10600
What is 73/5 of a decade in years?
146
What is twenty-seven fifths of a decade in years?
54
What is 5.212041l in millilitres?
5212.041
What is six fifths of a meter in centimeters?
120
Convert 95431.11 litres to millilitres.
95431110
How many millennia are there in 6796.55 decades?
67.9655
What is seven quarters of a litre in millilitres?
1750
How many micrometers are there in six fifths of a millimeter?
1200
How many millilitres are there in 1863.672 litres?
1863672
Convert 48126.83ml to litres.
48.12683
What is six fifths of a litre in millilitres?
1200
How many centuries are there in 0.0241686 decades?
0.00241686
How many millilitres are there in 3/5 of a litre?
600
How many kilograms are there in 0.8869117 grams?
0.0008869117
How many nanograms are there in fifty-one fifths of a microgram?
10200
What is 25.41879 kilograms in tonnes?
0.02541879
Convert 62.55479 millennia to centu
|
{
"pile_set_name": "DM Mathematics"
}
|
60000.
-4*(t - 6044)**2*(t - 50)**2
What is s in 4*s**5 + 880936*s**4 - 23787820*s**3 + 81056048*s**2 = 0?
-220261, 0, 4, 23
Find w such that -12*w**5 + 216507*w**4 - 974861073*w**3 - 15408846111*w**2 + 4644201585*w + 11739289104 = 0.
-16, -3/4, 1, 9029
What is y in 2*y**5 - 84*y**4 + 670*y**3 + 7044*y**2 - 59472*y + 51840 = 0?
-9, 1, 6, 20, 24
Determine b so that -1125*b**5 - 1839525*b**4 - 25831130*b**3 - 92777250*b**2 - 12028065*b - 397145 = 0.
-1621, -7, -1/15
Factor -26*w**3 - 24529332*w**2 - 5785485415146*w - 10680812548272.
-2*(w + 471717)**2*(13*w + 24)
Factor -4*u**2 - 172026060*u + 172026064.
-4*(u - 1)*(u + 43006516)
What is l in 5*l**2 + 2522810*l - 27751515 = 0?
-504573, 11
Determine n so that 3*n**2/7 + 114666*n/7 + 2739888 = 0.
-38054, -168
Find i, given that -675*i**4 + 68359635*i**3 - 104816928*i**2 + 41319024*i - 4861056 = 0.
4/15, 1, 101272
Find p, given that 2694*p**3 - 2958016*p**2 - 2956314*p + 4396 = 0.
-1, 2/1347, 1099
Factor -4*m**2 - 777832*m + 777836.
-4*(m - 1)*(m + 194459)
Determine f so that -4*f**5/5 - 10536*f**4 + 633044*f**3/5 + 4060584*f**2/5 + 6960368*f/5 + 3585504/5 = 0.
-13182, -2, -1, 17
Find j, given that 5*j**2/4 + 243193820*j + 11828646817238480 = 0.
-97277528
Find d, given that d**3/3 - 91684*d**2/3 + 31450544*d/3 - 2702202560/3 = 0.
172, 91340
Factor y**2 + 35065243*y - 35065244.
(y - 1)*(y + 35065244)
Determine b so that -2*b**2/7 - 19640*b/7 + 769002/7 = 0.
-9859, 39
Determine o, given that o**4/8 + 93157*o**3/8 - 1304389*o**2/8 + 466163*o/8 + 7174167/2 = 0.
-93171, -4, 7, 11
Determine n so that 1167051*n**4/4 + 121197447*n**3/4 + 2154809547*n**2/2 + 14051102157*n + 33251113494 = 0.
-2454/73, -3
Determine g, given that -6*g**4 - 305496*g**3 - 20153295*g**2/2 - 184558407*g/2 - 146695689 = 0.
-50883, -31/2, -2
What is i in -i**2 - 10639*i + 8651082 = 0?
-11398, 759
What is x in 2*x**4 - 336*x**3 - 7386*x**2 - 25096*x - 18048 = 0?
-16, -3, -1, 188
Suppose -27*n**5/7 + 1011*n**4/7 + 1065*n**3 - 43635*n**2/7 + 16512*n/7 + 66564/7 = 0. Calculate n.
-86/9, -1, 2, 3, 43
Determine h so that 35*h**5 - 19480*h**4 - 844175*h**3 - 347060*h**2 + 477600*h = 0.
-40, -1, 0, 4/7, 597
Factor d**3/4 - 60597*d**2 + 14673188805*d/4 + 896869276525/2.
(d - 121255)**2*(d + 122)/4
Suppose k**4 - 4357*k**3 - 694694*k**2 = 0. Calculate k.
-154, 0, 4511
Find n, given that -n**4/4 + 4219*n**3/2 - 18442845*n**2/4 + 666674550*n + 21403075500 = 0.
-27, 185, 4140
Determine w so that 122*w**4 + 4530*w**3 + 31336*w**2 + 4032*w = 0.
-28, -9, -8/61, 0
Factor -198*j**2/17 + 425492*j/17 + 21490/17.
-2*(j - 2149)*(99*j + 5)/17
Factor -548*a**2/7 + 84314*a/7 + 1716.
-2*(a - 154)*(274*a + 39)/7
Find c, given that c**2/2 + 7195167*c/2 = 0.
-7195167, 0
Find q, given that -q**4/4 - 223*q**3 + 27639*q**2/4 - 10171*q/2 - 225890 = 0.
-922, -5, 7, 28
Determine k, given that 2*k**5 + 1692*k**4 - 155452*k**3 + 733008*k**2 + 155450*k - 734700 = 0.
-930, -1, 1, 5, 79
Determine n so that -7*n**3 - 6851*n**2/8 + 202617*n/8 - 28665/4 = 0.
-147, 2/7, 195/8
Factor 2*t**2/3 + 182185064*t + 12446774079256536.
2*(t + 136638798)**2/3
Factor -4*g**3 + 589060*g**2 - 20024572*g + 170199036.
-4*(g - 147231)*(g - 17)**2
Determine g, given that -g**3/3 + 79402*g**2 + 714639*g + 1429290 = 0.
-6, -3, 238215
Factor 91801250*o**3/11 - 734789400*o**2/11 + 3035592*o/11 - 3136/11.
2*(o - 8)*(6775*o - 14)**2/11
Factor -6112*o**2 - 2010766*o + 26978.
-2*(o + 329)*(3056*o - 41)
Let -q**5 - 1090*q**4 - 64996*q**3 - 1305880*q**2 - 10928800*q - 32896000 = 0. What is q?
-1028, -32, -10
Determine l, given that 5*l**2 + 111000*l + 181644795 = 0.
-20421, -1779
Find w such that 2*w**2/5 + 158834*w/5 + 1174824 = 0.
-79380, -37
Factor -y**2 + 4365*y + 1731546.
-(y - 4731)*(y + 366)
Determine i so that -3*i**2/8 + 41221*i/8 + 13743 = 0.
-8/3, 13743
Determine z so that -3*z**5 - 17343*z**4 - 21699486*z**3 + 9729622914*z**2 - 938991629583*z - 948742934643 = 0.
-3073, -1, 183
Factor 2*a**2 + 66617698*a - 66617700.
2*(a - 1)*(a + 33308850)
Factor -3*m**3 + 19761*m**2 + 257292*m + 712800.
-3*(m - 6600)*(m + 4)*(m + 9)
Factor 4*r**3 + 39366112*r**2 + 96855634008660*r - 193711425481800.
4*(r - 2)*(r + 4920765)**2
Suppose -u**5/6 - 895*u**4/6 - 15770*u**3/3 + 29430*u**2 - 24024*u = 0. Calculate u.
-858, -42, 0, 1, 4
Factor 3*g**3 - 222531*g**2 + 3782106*g + 4004640.
3*(g - 74160)*(g - 18)*(g + 1)
Determine f, given that -3*f**3 - 3153*f**2 - 100572*f + 213780 = 0.
-1018, -35, 2
Suppose b**5/3 - 25*b**4 - 5809*b**3/3 + 470383*b**2/3 - 850704*b - 3028228/3 = 0. What is b?
-79, -1, 7, 74
Solve -v**2 + 77748*v + 7784800 = 0 for v.
-100, 77848
Suppose -4*u**3 - 276360492*u**2 - 552720972*u - 276360484 = 0. Calculate u.
-69090121, -1
Determine g so that -g**2/4 - 103983*g/2 - 1767422 = 0.
-207932, -34
Factor -42*h**3 + 130738192*h**2 - 101740927936514*h + 9689610998596.
-2*(h - 1556407)**2*(21*h - 2)
Factor 5*s**2 + 5965*s - 6177850.
5*(s - 665)*(s + 1858)
Factor 2*a**2/5 - 24181196*a + 365456399994010.
2*(a - 30226495)**2/5
Find a, given that 5*a**5 - 355390*a**4 + 8427823160*a**3 - 66862559762690*a**2 + 4311092769322435*a - 4244238637027520 = 0.
1, 64, 23671
Determine i so that i**3/5 - 506594*i**2/5 - 2026397*i/5 + 506598 = 0.
-5, 1, 506598
What is c in 2*c**3/7 - 62672*c**2/7 + 71471302*c - 145429482556/7 = 0?
302, 15517
Factor 4*m**2 + 338351228*m - 338351232.
4*(m - 1)*(m + 84587808)
Determine i, given that -3*i**2 - 3439677*i + 3439680 = 0.
-1146560, 1
Factor -5*p**3 + 1266990*p**2 - 80307509280*p + 5615319113600.
-5*(p - 126664)**2*(p - 70)
Let -2*r**2/3 - 32652532*r/3 = 0. What is r?
-16326266, 0
Let 4*d**3/9 - 3944*d**2/9 + 38748*d + 248360 = 0. Calculate d.
-6, 105, 887
Let 4*w**5 + 1416*w**4 - 20464*w**3 + 52856*w**2 - 50004*w + 16192 = 0. Calculate w.
-368, 1, 11
Find r such that 45*r**4 + 44700*r**3 + 2245655*r**2 + 27821600*r - 30112000 = 0.
-941, -80/3, 1
Factor -3*z**2/5 - 13025985*z - 130259838/5.
-3*(z + 2)*(z + 21709973)/5
Suppose 2*v**5/11 + 2010*v**4/11 + 6214*v**3 + 439254*v**2/11 - 1091620*v/11 + 582000/11 = 0. Calculate v.
-970, -25, -12, 1
Factor 2*a**3/9 + 9346*a**2/9 + 93260*a/9.
2*a*(a + 10)*(a + 4663)/9
Determine r so that 34*r**2/3 - 10120*r/3 + 75400/3 = 0.
130/17, 290
Factor -4*n**2 - 2007036*n - 40139120.
-4*(n + 20)*(n + 501739)
Factor 3*m**2/7 - 14442600*m/7 + 17382391230000/7.
3*(m - 2407100)**2/7
Suppose 3*c**2/4 - 933*c/2 + 63954 = 0. Calculate c.
204, 418
Factor 52*f**4 + 330848*f**3 + 30107920*f**2 + 689951424*f.
4*f*(f + 46)**2*(13*f + 81516)
Determine t so that 2*t**4/3 + 10940932*t**3/3 + 4987673670142*t**2 + 59851952750584*t/3 + 59851908986888/3 = 0.
-2735231, -2
What is v in 4*v**2/13 + 34109042*v/13 + 17054520/13 = 0?
-8527260, -1/2
Suppose 3*x**2 + 3510348*x + 1026878590092 = 0. What is x?
-585058
What is n in -2*n**2/5 - 998008*n/5 + 273604344/5 = 0?
-499278, 274
Determine a so that -440728*a**3/13 + 1762906*a**2/13 - 1762888*a/13 - 24/13 = 0.
-3/220364, 2
Let 2*o**3/3 + 1680*o**2 + 75082*o/3 - 56780 = 0. Calculate o.
-2505, -17, 2
Factor p**3 - 6407345*p**2.
p**2*(p - 6407345)
Solve 5*r**4/2 + 8829*r**3 + 6895152*r**2 - 1635899760*r - 5978188800 = 0.
-1860, -18/5, 192
Find i, given that 64*i**5 - 2903648*i**4 + 32971255588*i**3 - 838916417764*i**2 + 413276279936*i - 51401958400 = 0.
1/4, 25, 22672
Factor 5*a**3 + 62810*a**2 + 9554160*a.
5*a*(a + 154)*(a + 12408)
Determine h so that 675*h**3 - 24553680*h**2 - 13095344*h/3 - 582016/3 = 0.
-4/45, 36376
Suppose -f**4/10 + 38696*f**3/5 - 299026857*f**2/2 - 8691942425*f - 113971547500 = 0. What is f?
-38, -20, 38725
What is m in -3*m**3/5 - 1047*m**2 + 116622*m/5 = 0?
-1767, 0, 22
Solve -2*k**2 - 51998*k + 3283812 = 0 for k.
-26062, 63
Factor 2*u**2/3 + 14458*u - 695520.
2*(u - 48)*(u + 21735)/3
Determine x so that x**4/2 - 8938*x**3 + 39467399*x**2 + 4259162574*x + 227074169529/2 = 0.
-53, 8991
What is z in z**5/8 + 2835*z**4/8 + 16185*z**3/2 + 44935*z**2/2 - 80142*z = 0?
-2812, -19, -6, 0, 2
Factor -2*z**3/9 - 77967764*z**2/9 - 25989254*z/3.
-2*z*(z + 1)*(z + 38983881)/9
Let -u**3 + 23205*u**2 - 140998503*u + 73130533219 = 0. What is u?
571, 11317
Solve -10*g**3/3 + 46608*g**2 + 4146754*g/3 + 3727192 = 0 for g.
-133/5, -3, 14012
Factor -926282994050*a**3 - 530760150146290*a**2 + 3119618272*a - 4584.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest 1000000?
10000000
Let s(x) = -21*x**3 - 3*x + 4. Suppose -4*k + o - 13 = 0, -5*k + o = 2*o + 14. Let i be s(k). What is i rounded to the nearest one hundred?
600
Let g(a) = -92500*a**2 - 2*a + 5. Let f be g(2). Let i be 1 + f + (13 - 15). Round i to the nearest 100000.
-400000
Let m = -450 - -449.99998064. Round m to six dps.
-0.000019
Let y = -7 - 24. Let h = 31.047 + y. Let g = h + -0.04700094. Round g to 7 decimal places.
-0.0000009
Let l = -438 + 710. Let d = -272.00193 + l. What is d rounded to 4 decimal places?
-0.0019
Let b = -2972360.2899982 + 2972360. Let g = 0.29 + b. What is g rounded to six dps?
0.000002
Suppose -p + 3*b - 1 = 5, 4*p - 3*b + 33 = 0. Let x(l) = -4*l**3 - 9*l**2 - 7*l + 10. Let m be x(p). Round m to the nearest one hundred.
2300
Let n be -1*1 + (3 - (-3 - -6)). Let r be (-1025 - n)*(1 - -49). What is r rounded to the nearest 1000?
-51000
Let u = 0.63 + -0.25. What is u rounded to one decimal place?
0.4
Let r = -22374402 + 250402795. Let i = -228028422.0000054 + r. Let p = 29 + i. Round p to 6 dps.
-0.000005
Let o = 13.904 + -14. Let j = 12.52539 + -12.622. Let i = j - o. Round i to 4 decimal places.
-0.0006
Let z = 2.815673 - 2.817. Round z to four dps.
-0.0013
Let j(m) = 15*m - 3. Let q be j(3). Let z be 4/(-18) + 20/9. Suppose z*a + q = a. Round a to the nearest ten.
-40
Let i be 8/16 - 26979/(-6). Suppose 5*r + 5*h + i = 2*h, -5*h = -3*r - 2705. What is r rounded to the nearest 1000?
-1000
Suppose 2*l = -7*l + 19211625. Let p = l - 6834625. What is p rounded to the nearest one million?
-5000000
Let j = -0.047 + 9.047. Let k = j + -9.316. What is k rounded to 2 decimal places?
-0.32
Let z = -0.3772 + 0.377198159. What is z rounded to seven dps?
-0.0000018
Let j = -3.6 - -9.7. Let l = -14.4 + j. What is l rounded to 0 dps?
-8
Let y = 0.31014124 + -28.31021924. Let n = 28 + y. What is n rounded to 5 dps?
-0.00008
Let q = -77.171 + 0.171. Let z = q + 76.99999528. Round z to 6 dps.
-0.000005
Let f = -448 - -145. Let z = -171 - f. Let g = -116.8 + z. Round g to the nearest integer.
15
Let w be 264837 + 5 + (-2 + -1)*1. Suppose 565161 = g - w. Round g to the nearest one hundred thousand.
800000
Let q = 5 + 11. Let r = -95 - -112.9. Let z = q - r. Round z to 1 dp.
-1.9
Let f = 9.21282 - 7.582586. Let n = -1.674 - -0.044. Let v = f + n. What is v rounded to 5 decimal places?
0.00023
Let g = 66 + -48. Let h = g + -17.99999968. What is h rounded to seven decimal places?
0.0000003
Suppose 5 + 0 = l. Suppose 0 = -4*q + 20, 2*r = 4*r + 4*q - 3040. Suppose -3*m - l*z - r = 0, 2*m - z + 2498 = -3*m. What is m rounded to the nearest 1000?
-1000
Let k = 2793 + -2791.9944. What is k rounded to 2 decimal places?
1.01
Let g = 8.82 + -9. Let d = g - 92.82. Let j = 91.53 + d. Round j to one decimal place.
-1.5
Let n = -327 - -320.39. Let r = 6.6099623 + n. Round r to five decimal places.
-0.00004
Let k = 302 - 301.98777. Round k to 3 decimal places.
0.012
Let d(s) = 48*s**3 + 6*s**2 - 6*s + 6. Let a(m) = -m**3 - 2*m**2 - m + 2. Let k be a(-2). Let w be d(k). What is w rounded to the nearest 1000?
3000
Let v = 1950.99998711 + -1951. Round v to seven decimal places.
-0.0000129
Let p = 6 + 1.8. Let n = p + -5. Round n to one dp.
2.8
Let u = 335 - 330.525. Round u to 1 decimal place.
4.5
Let w = 4031016 - 6681580. Let d = w + 4195561. Suppose -1855003 = -5*a + d. What is a rounded to the nearest one hundred thousand?
700000
Let m = -513 - -512.993832. What is m rounded to 3 decimal places?
-0.006
Suppose 3*m + 2034 = 3. Suppose 4*w - 2*f + 9594 - 1688 = 0, 0 = w + f + 1978. Let u = m - w. Round u to the nearest one thousand.
1000
Let x = 1.6 + 14.4. Let o = -5670.995 - -5655. Let v = x + o. Round v to 3 dps.
0.005
Let o = -113.9999485 - -114. Round o to four dps.
0.0001
Let q = -243.0162 + 243. Round q to three decimal places.
-0.016
Let m(p) = 3*p + 45. Let z(v) = 2*v + 17. Let q be z(-16). Let j be m(q). Round j to the nearest one thousand.
0
Let p = -22.37 - -24.3. Let c = p + -1.5. Let h = c + -0.4416. What is h rounded to three dps?
-0.012
Suppose 0 = 34*f - 16*f - 51876. Round f to the nearest one hundred.
2900
Let s(m) = 374385*m**2 - 3*m + 5. Let t be s(3). Let w = t + -769461. What is w rounded to the nearest 1000000?
3000000
Let u = -7412 + 21762. What is u rounded to the nearest 1000?
14000
Let l = -30.81 + 32.767. Let y = 1.9 - l. Round y to two decimal places.
-0.06
Let s = -5.85 + 6. Let w = -68.15 + s. Let a = w - -67.9999859. What is a rounded to six decimal places?
-0.000014
Let k(d) = -52390*d. Let t(b) = -2*b - 1. Let a(u) = -2*k(u) + 36*t(u). Let q be a(17). Round q to the nearest 100000.
1800000
Let r = -7116318 + 4166318. What is r rounded to the nearest one million?
-3000000
Let u = 9389 + -9388.9999984311. Round u to 7 decimal places.
0.0000016
Suppose -6*q + 0*q = 0. Suppose 2*d + 5*d + 3703000 = q. What is d rounded to the nearest 100000?
-500000
Let h = 460354 + -152326. Let g = h - 308030.1999975. Let a = g + 2.2. What is a rounded to six decimal places?
0.000003
Let s = 3018.3 - 2259. What is s rounded to the nearest 10?
760
Let i = 463.999 - 464. Round i to three dps.
-0.001
Let o = 27764411.1077127 + 0.8922873. Let l = 27764412.66400297 - o. Let i = l + -0.664. Round i to 7 dps.
0.000003
Let f = 6 + -6.1. Let l = f - 0.12. Let z = l - -0.56. Round z to 1 decimal place.
0.3
Let n = -73.7822217 + 73.779. Let h = 0.0311 - 0.0279. Let i = n + h. Round i to 6 dps.
-0.000022
Let z = -221 + 220.99408. What is z rounded to four dps?
-0.0059
Let p = -1380 - -3170. What is p rounded to the nearest 100?
1800
Let v = 0 + 0. Suppose -2*o = -2, y + 2*o - 6470 - 15447 = v. Suppose 2*m + 3*m - y = 3*q, 36506 = -5*q + 2*m. Round q to the nearest one thousand.
-7000
Let b(z) = -41*z**3 - 12*z**2 - 21*z - 8. Let h be b(-4). What is h rounded to the nearest one hundred?
2500
Let m = -4.26181 - 0.05519. Round m to 0 decimal places.
-4
Let r = -804394.91445100587 - -0.91558100587. Let s = r - -804526. Let o = s - 132. Round o to four dps.
0.0011
Suppose f + 25 = -4*f, -3*d + 4*f = -1794020. What is d rounded to the nearest 100000?
600000
Let c = -25 + 13. Let n be c/(-10) - (-3)/(-15). Let p be (n - 3/9)*-3. Round p to zero decimal places.
-2
Let g = 3152109 - 6051443. Let u be 36/(-2)*(-1299889)/(-3). Let w = u - g. What is w rounded to the nearest 1000000?
-5000000
Suppose 1235008 = -5*j - 4*k, 185563 = -j - 4*k - 61445. What is j rounded to the nearest 10000?
-250000
Suppose -5*z = -5*o - 27705, 0*z + 5*z + 3*o - 27729 = 0. Suppose 0*i + i - 5524 = -4*l, -i + l = -z. Round i to the nearest one thousand.
6000
Let z = -14.14 - -14.139999465. Round z to seven dps.
-0.0000005
Let y = 103.8469650270868 - -0.9990396339832. Let u = y - -0.15399670893. Let p = u + -105. What is p rounded to 7 dps?
0.0000014
Suppose 2*q = 2*z - 5*z + 1353591, 4*q - 4*z - 2707212 = 0. Round q to the nearest one hundred thousand.
700000
Let v = -3.943 + 0.083. Let t = v + 3.8599801. What is t rounded to 6 decimal places?
-0.00002
Let p = -21 + 21.27. Let g = p - 0.2795. What is g rounded to 3 decimal places?
-0.01
Let m = -40375983.482434709571 - -56.082251709571. Let s = -40375951 - m. Let r = s - -23.6. What is r rounded to five decimal places?
0.00018
Let c = 10022.9010003 - 10043.901. Let p = 20.79 + 0.21. Let g = p + c. Round g to six decimal places.
0
Let n = 22203126 + -22190639.999. Let w = -12499 + n. Let j = 13 + w. What is j rounded to two decimal places?
0
Let l = -229 - -228.999949. What is l rounded to four dps?
-0.0001
Let h = 16 - -331. Let a = h - 346.99714. Round a to 4 decimal places.
0.0029
Let i = -10.5 + 11. Let v = 1.4 - i. Let r = -2.6 - v. Round r to the nearest integer.
-4
Let j = 195.9 + 701.1. Let v = j - 846.9. Round v to the nearest 10.
50
Let h = -1703 - -438. Let g = -1264.353 - h. Round g to 1 decimal place.
0.6
Let z = -12 - -11.938. Let t = -25.415 - -25.3529828. Let d = z - t. What is d rounded to 6 decimal places?
0.000017
Let y = 809 - 797.24. Round y to 1 dp.
11.8
Let g(r) = -r**3 - 33*r**2 + 84*r + 21. Let w be g(-26). What is w rounded to the nearest 1000?
-7000
Let t = -4113421 + -120579. Round t to the nearest one hundred thousand.
-4200000
Let v = -56980 + 11396. Let q be 9/(36/v) + -4. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of 309626*o**2 - 258766 wrt o.
619252*o
What is the derivative of 267107*f**4 - 152685?
1068428*f**3
What is the third derivative of 5*q*v**4 - 6*q*v**3 + 27990*q*v + 84*v**4 - v**3 - 13*v**2 wrt v?
120*q*v - 36*q + 2016*v - 6
Differentiate 5*r**4 - 5891*r**3 + r**2 + 174978 with respect to r.
20*r**3 - 17673*r**2 + 2*r
What is the third derivative of 77*c**3*u**3 - 2*c**3*u**2 + 25*c**3*z**2 - c**2*z**2 - 74*c**2*z - 6*c*u**2*z**2 - 3*u**3*z wrt c?
462*u**3 - 12*u**2 + 150*z**2
Differentiate p*u**2 + 582*p*u + 26211*p - 18*u - 3 with respect to u.
2*p*u + 582*p - 18
Find the third derivative of -21*y**4 + 11976*y**3 + 924816*y**2.
-504*y + 71856
Find the third derivative of -626113*g**2*h**6 + 637*g**2 + 181*g*h**2 wrt h.
-75133560*g**2*h**3
Find the third derivative of -302*i**4*l - 3*i**3*l**2 - 2*i**3 + i**2*l + 4*i*l + 171*l**2 wrt i.
-7248*i*l - 18*l**2 - 12
Find the second derivative of 5*b**5*d**2 + 2089*b**3*d**2 - 1138*b*d**2 + 23*b - d wrt b.
100*b**3*d**2 + 12534*b*d**2
Find the second derivative of 4*g**3 + 3672*g**2*k + 5820*g*k + 150*g wrt g.
24*g + 7344*k
What is the third derivative of -47851*y**5 - 2*y**4 - y**3 + y**2 + 828939 wrt y?
-2871060*y**2 - 48*y - 6
What is the second derivative of 128*m**3*t**3 + 3*m**3*t - 388*m**2*t + 3*m*t**3 + 2*m*t - 10*t**2 wrt t?
768*m**3*t + 18*m*t - 20
What is the second derivative of 1519052*c**2 - 380791*c?
3038104
Find the second derivative of -18*d**2*r**2 + 2*d**2*r + 36*d**2 - 3*d*r**2 + 4489*d*r wrt d.
-36*r**2 + 4*r + 72
What is the third derivative of -g**5 - 37928*g**4 + 2869*g**2 + 2*g + 17 wrt g?
-60*g**2 - 910272*g
What is the second derivative of -4068*f*v**3 - 1054*f - 188*v**4 - 577*v wrt v?
-24408*f*v - 2256*v**2
What is the derivative of -274*l*z**3 - 32*l*z + l - 7634 wrt z?
-822*l*z**2 - 32*l
What is the third derivative of 198512*b**5 - 11*b**2 - 5168*b?
11910720*b**2
What is the first derivative of 31141*u*v - 67*v + 153 wrt u?
31141*v
What is the first derivative of -39815*o**2 - 11*o - 1641332?
-79630*o - 11
Find the second derivative of -5*k**2*u*x + 81*k**2*u - 52*k**2*x - k**2 - k*u + 102*k*x + 2*u*x - 3*u + 2*x - 1 wrt k.
-10*u*x + 162*u - 104*x - 2
Find the third derivative of 36968*w**6 - 28064*w**2.
4436160*w**3
Find the first derivative of 137644*m*y + 168270*m - 4 wrt y.
137644*m
Find the third derivative of -39261*o**4 - 20486*o**2 + 3*o wrt o.
-942264*o
Find the first derivative of 411*x**3 - 1876*x + 2150577 wrt x.
1233*x**2 - 1876
What is the second derivative of 1893*z**2 - 13600*z?
3786
Differentiate 1045*h*n**2 - 28947*h*n*u - 18*h*n + n**2*u wrt u.
-28947*h*n + n**2
What is the second derivative of -2977*f**3 + 2*f**2 - 4*f - 2001 wrt f?
-17862*f + 4
What is the third derivative of -336*g**5 + g**4 - 39*g**3 + g**2 + 6980?
-20160*g**2 + 24*g - 234
Find the third derivative of -339737*s**3 - 7*s**2 + 8*s - 17 wrt s.
-2038422
Find the second derivative of 63931*y**3 + 59249*y + 3 wrt y.
383586*y
What is the first derivative of 114*r**2 - 14*r - 54801 wrt r?
228*r - 14
Find the second derivative of -445456*i**2 + 113*i + 1269.
-890912
Find the second derivative of -6453*k**2 + 28792*k wrt k.
-12906
What is the second derivative of 454*i*w**2 - 2*i - 15*w**2 - 197*w + 263 wrt w?
908*i - 30
Differentiate 2*h**2*k*x - 7039*h**2*x + 7*h*k*x + 2*h*x + 57*k*x wrt k.
2*h**2*x + 7*h*x + 57*x
What is the second derivative of -2582*l**5*r - 3*l**3*r + 26658*l*r wrt l?
-51640*l**3*r - 18*l*r
Find the third derivative of 31666*s**5 + 6*s**3 + 559035*s**2 wrt s.
1899960*s**2 + 36
What is the second derivative of 2056465*d**5 + 14330*d?
41129300*d**3
Find the second derivative of 1751737*y**4 - 302*y + 5598.
21020844*y**2
Find the third derivative of -89*d**5 - d**4 + 26*d**3 + 832*d**2 - 3*d + 2 wrt d.
-5340*d**2 - 24*d + 156
Differentiate -151338*z**2 - 265753 with respect to z.
-302676*z
What is the first derivative of 53220*v**4 - 41780?
212880*v**3
What is the derivative of 8593*g**3*q*z**2 - g**3*q - 187*q*z**2 - 2*q + 13*z**2 + z wrt g?
25779*g**2*q*z**2 - 3*g**2*q
What is the second derivative of -74371*h**3 + 52651*h?
-446226*h
Differentiate 457439*a**4 + 13502 with respect to a.
1829756*a**3
What is the second derivative of -774540*r**3 + 229290*r wrt r?
-4647240*r
Find the first derivative of 10917*s**4 - 8642.
43668*s**3
What is the first derivative of 722509*w**2 - 3*w + 2426873 wrt w?
1445018*w - 3
What is the second derivative of 1275097*t**3 - 3140161*t wrt t?
7650582*t
What is the derivative of 3*h**4 + 398*h**3 + 4*h + 65009?
12*h**3 + 1194*h**2 + 4
Find the second derivative of 357416*j**4*s - 3*j*s - 2177*j - 11 wrt j.
4288992*j**2*s
What is the first derivative of -15*i**2*v - 205623*i**2 + 1728*i*v - 4*v wrt v?
-15*i**2 + 1728*i - 4
Find the third derivative of -981651*y**4 + 929805*y**2 wrt y.
-23559624*y
What is the third derivative of 2*y**6 + 66201*y**4 + 30*y**2 + 977*y + 2 wrt y?
240*y**3 + 1588824*y
What is the third derivative of 4*q**3*z**2 - 1691*q**3 + 69*q**2*z**2 - q**2 + 10*q - 3*z**2 wrt q?
24*z**2 - 10146
Find the second derivative of 1519576*q**2 - 7*q + 48676.
3039152
What is the third derivative of -261*p**4 - 615*p**3*t + 19*p**2*t - 47*p**2 - 2*p - 2*t + 35 wrt p?
-6264*p - 3690*t
Find the second derivative of -126839*c**3 + 82*c + 42.
-761034*c
What is the second derivative of -3252*s**5 + 5534*s - 1 wrt s?
-65040*s**3
What is the derivative of 16*o*u**3 - 19*o*u + 120023*o + 7*u**3 + 7*u wrt u?
48*o*u**2 - 19*o + 21*u**2 + 7
Find the third derivative of a**3*c**3 + 29747*a**3*c**2 + 1657*a*c**3 wrt c.
6*a**3 + 9942*a
What is the derivative of 288088*u**4 - 58715 wrt u?
1152352*u**3
What is the third derivative of -2813*b**4*l**2 - b**4*l + 8*b**3*l - 5*b**2*l - b**2 + 3*b*l**2 + 5848 wrt b?
-67512*b*l**2 - 24*b*l + 48*l
Differentiate 111267*i*x + 11*i - 960 wrt x.
111267*i
Find the third derivative of -982865*c**3 + 31629*c**2.
-5897190
Differentiate -513153*o**4 + 2855417 wrt o.
-2052612*o**3
Differentiate 2*b*n**3 + 198299*b + 5964*n**3 + 37*n**2 with respect to n.
6*b*n**2 + 17892*n**2 + 74*n
What is the second derivative of -p**3*x**3 + 4*p**3 + 11*p*x**3 - 211*p*x**2 + 47*x + 18 wrt x?
-6*p**3*x + 66*p*x - 422*p
Find the second derivative of 382408*z**5 - 80632*z.
7648160*z**3
What is the third derivative of -8477*d**5 - d**3 - 21628*d**2 wrt d?
-508620*d**2 - 6
What is the first derivative of -31144*w - 58616?
-31144
What is the first derivative of 26451*v**3 - 7*v - 3054317 wrt v?
79353*v**2 - 7
Find the third derivative of 24796*m**5 + 15706*m**2.
1487760*m**2
Find the third derivative of n*s**4 + 6*n*s**2 - 26*n*s + 1688*s**4 + s**3 + 109*s**2 wrt s.
24*n*s + 40512*s + 6
What is the third derivative of 71883*l**3 + 5*l**2 - l + 1142 wrt l?
431298
Find the second derivative of 77*r**4 + 688*r**3 + 14196*r.
924*r**2 + 4128*r
Find the first derivative of 37126*b + 17642.
37126
Find the first derivative of 4*q**3*t + q**2*t*z - 6884*q*t - 37*t + 3314*z wrt q.
12*q**2*t + 2*q*t*z - 6884*t
What is the third derivative of -2*g**4*w - 6625*g**3*w + 6*g**2 + 11409*w wrt g?
-48*g*w - 39750*w
What is the second derivative of 7*q**4 + 2*q**3 + 526*q**2 - 12096*q?
84*q**2 + 12*q + 1052
Find the second derivative of -2*s**5*v - 66872*s**4*v + 17*s*v - 5*s - 71*v + 3 wrt s.
-40*s**3*v - 802464*s**2*v
Differentiate 749058*y**3 - 268823.
2247174*y**2
Differentiate -28943*n*s + 429874*n + 3*s**3 wrt s.
-28943*n + 9*s**2
Find the first derivative of 10*l**3 + 8*l**2*z + 35*l*z**2 + 2*z**2 - 26263 wrt l.
30*l**2 + 16*l*z + 35*z**2
Find the third derivative of -35707*c**3*x**2 - c**2*x**2 + c**2*x + 2*c**2 + 3241*x**2 wrt c.
-214242*x**2
Differentiate -1007117*a*z - 515332*z wrt a.
-1007117*z
Find the second derivative of -u**3*z**3 + 7092*u**3 - 4*u**2 - 4507*u*z**3 - 11*z**3 - 8 wrt u.
-6*u*z**3 + 42552*u - 8
What is the second derivative of 146479*j**5 - 6*j + 25399?
2929580*j**3
Find the third derivative of -1177*i**4 + 3*i**3*l**3 - 14*i**2*l**3 + 2*i**2 - 162*i*l**3 wrt i.
-28248*i + 18*l**3
What is the third derivative of 1967508*m**5 + 271*m**2 - 2247?
118050480*m**2
Find the second derivative of -37*i**2*r**2*x**2 + 3*i**2*r**2 + 47*i**2*r*x**2 - 2*i**2*r*x - 9*i**2*r + 112*i**2*x wrt x.
-74*i**2*r**2 + 94*i**2*
|
{
"pile_set_name": "DM Mathematics"
}
|
67. Solve 5*n + 4*k = 40, 4*k - 8 = -3*n + o for n.
4
Suppose 3*f - 7 = -4. Let v = 5 - 3. Solve 0 = 2*x + 5*c + 13, -v*x + 4 + f = -c for x.
1
Let p(o) = 6*o + 36. Let c be p(-6). Solve 5*m - 4 = 3*m - 2*q, c = -2*m + q - 11 for m.
-3
Suppose 0 = 5*o - 26 + 6. Solve -3*f + 4*j = 4, f = -f + 3*j - o for f.
4
Let l(v) = 5*v**3 + 2*v**2 - 1. Let r be l(1). Suppose -r*c + 6 = -3*c. Solve 5*x + 0*x + 20 = 5*p, c*p + 7 = -3*x for x.
-3
Let c = -3 + 3. Solve 0 = -2*y - 2*i - 6, c*i = -y - 2*i - 5 for y.
-1
Let i be -3 - 14*(-1)/2. Suppose 0 = 4*f + i*u - 68, 5*f + 2*u - 5*u - 125 = 0. Solve j + f = -5*x, -2*j + 27 + 4 = -5*x for x.
-5
Let v = 28 - 18. Suppose 4*b + v = -5*w, -3*b + 6*b + 10 = -5*w. Suppose b*p + 6 = 5*t - p, p - 6 = -t. Solve l = 2*y + 10, 2*y + 0 = -l - t for y.
-3
Let l(k) = -k**2 - 3*k + 4 - 3*k + 2*k**2 + k. Let g be l(5). Solve 3*y - 3*a + a = -15, 3*a = -g*y - 3 for y.
-3
Let h = 45 + -33. Solve 0 = 2*k + d + h, -6*k - 12 = -2*k - 4*d for k.
-5
Suppose -5*j + 1 = -7*j + 3*f, 2*f = 3*j - 6. Let q = 0 + 5. Suppose -2*t + q*o - o = 8, -4*t + 3*o = -4. Solve 4*h - 3*y = 2*h + j, -5*h = -t*y - 17 for h.
5
Let n be (5 + -3)/(2/5). Solve 0 = b - 0*v + 3*v, -n = -5*v for b.
-3
Suppose 4 - 16 = -4*b. Solve -2*o + 6 = -o + b*k, 2*o = 3*k - 15 for o.
-3
Suppose -4*h = -2*c, -c - 3*c - 2*h = 10. Let g be (2 - 15/6)*c. Let z be (1/((-2)/(-8)))/g. Solve 3*n - 3*w = -5*w - 8, -z*n + 4 = -w for n.
0
Let h(s) = s**3 - 5*s**2 + 3*s + 1. Let y be h(3). Let d = -6 - y. Suppose -d*k = -0*k. Solve 3*i = -l + 1, k = 4*i - 4*l + l - 10 for i.
1
Let g(n) = -n + 8. Let s be g(6). Let h(b) = -b**3 - 10*b**2 + 6*b - 26. Let i be h(-11). Solve -j = a + 1 - s, -3*j + 5*a = i for j.
-3
Suppose 0*p = p - 3*k - 16, 0 = -k - 4. Suppose 2*f - p + 0 = 0. Solve -f*j - 6 = -2*r, 5*r + j = -j + 22 for r.
4
Suppose -5*d + 2*d + 15 = 0. Solve 0 = 3*z + 2*p - 15, -z - 20 = -d*z - 5*p for z.
5
Suppose -28 - 16 = -2*n. Suppose -3*c + 91 = n. Solve -8 = -4*i + 3*h, 2*h - c = 2*i - 5*i for i.
5
Suppose -49 = -3*u + 23. Solve -3*m - 5*n = 30, m + 3*n + u = -2*m for m.
-5
Suppose -u + 8 = 3*u. Suppose -h + 4*b = 6, u*h + 5*b = h + 12. Let d be (2/(-8))/(7/(-56)). Solve -d*s + 4*m - m = 11, -2*s = -h*m + 8 for s.
-1
Suppose 2*h - g = 23, h + 2*h - 5*g - 38 = 0. Solve -4*y = -o + h, 0 = 5*o - 3*o - 5*y - 16 for o.
3
Let p(q) = q**2 + 5*q + 6. Let c be p(-4). Suppose -4*v - 20 + 0 = 0, u = -c*v + 15. Solve -u = -5*y + 5*h, y + h = -h + 5 for y.
5
Let b(y) be the first derivative of -y**4/4 + y**3 - y**2/2 - 11. Let t be 1*(1 + -2) - -3. Let q be b(t). Solve -2*g + 5*x = 8 + 3, -q*x = 2*g + 4 for g.
-3
Let j = -20 + 22. Solve -5*k + 20 = -d, 0 = j*k - k - 3 for d.
-5
Let k = 12 - 10. Solve 0 = 5*p + 5*a, k - 8 = p - 2*a for p.
-2
Suppose 5*p = -4*b, -2*p + 2*b = 7*b + 17. Solve g - 4*v = 0, -14 + 2 = 4*g - p*v for g.
-4
Suppose -8 + 2 = -3*w. Suppose w*v - 5 = v. Solve -2*g = 2*g - j - 15, 5*g = -v*j + 50 for g.
5
Let m = 41 + -10. Let i = m - 9. Solve -5*z = 2*q - i, q = -z - 0*z + 5 for q.
1
Suppose 40 = 9*m - 7*m. Suppose -20 = 5*b - 4*j, 0 = -2*b + 6*b + 4*j - m. Solve 6*w - n + 22 = 2*w, b = 4*w + 4*n + 12 for w.
-5
Let f(i) be the third derivative of i**5/30 - i**4/8 + 4*i**2. Let c be f(2). Solve 0 = s + s + 2*d + 8, 0 = c*s - 3*d + 8 for s.
-4
Let j = 0 - -10. Let l(m) = 3*m**2 - 3*m - 3. Let v be l(-2). Let r = v - j. Solve -3*b = -r*i + 31, -4*i + 5*b + 41 = 11 for i.
5
Let f = 1 - 5. Let j be 2 + (f - -1 - 0). Let a be (-9 + j)*(-2 - -1). Solve -a = r + 2*u, -u = 4*r - 3*u for r.
-2
Suppose 19 = -2*y + 5*m - 0, 4*m - 11 = 3*y. Suppose d = -y*d + 8. Suppose p - 10 = -d. Solve -3*t - w + 5 = 2, -p = 2*t + 4*w for t.
2
Let p(j) = -2*j - 4. Let y be -2 + (-3 + 1 - 0). Let g be p(y). Solve k - 11 = g*t + 10, 2*k = -t - 3 for k.
1
Let y be (-8)/(-3) + 5/15. Suppose -o + y*o = 8. Solve 4*x = -2*l + o, -l - 3 = -3*x + 3*l for x.
1
Let v(b) be the third derivative of b**5/20 + b**4/24 + b**3/3 - 2*b**2. Let h be v(2). Solve 4*a + 5*z + 1 = h, a + 3*z - 2 = 0 for a.
5
Suppose -6*p + 2*p = 0. Suppose p = 5*w - 68 + 23. Suppose -w + 3 = -3*s. Solve -4*k - 12 = -0*k, -s*r = -4*k - 22 for r.
5
Suppose -5*n + 25 = -2*v, -n - 3*v = n - 29. Solve -2*r - 11 = 3*p, -n*p = 3*r - 4*p + 12 for r.
-1
Suppose 5*f - 44 = 21. Let a(w) = 5 + 6 - 6 + 6 + w. Let x be a(-6). Solve i + 2 = -o, 2*i + x*o = 3 - f for i.
0
Let p = 108 + -103. Solve 23 = -p*o - y, -o = 5*y + 12 + 7 for o.
-4
Let l be (3/(-2))/((-2)/4). Suppose 5*g = l*m - 5, 33 = 4*g + 4*m + m. Let d be ((-9)/g)/(-3)*2. Solve -4*y = o + 6 + 6, d*o - 16 = y for y.
-4
Let k = 11 + -6. Solve -4*w = -0*w - 4, 4*x + 5*w = k for x.
0
Suppose h + 3 + 8 = 0. Let v(s) = 10*s + 3. Let c(g) = -g**2. Let q(p) = -c(p) + v(p). Let n be q(h). Solve 0*i + 2*i = -5*o + n, -i + 3*o = 4 for i.
2
Let h(d) be the third derivative of d**5/60 - 5*d**4/24 + 7*d**3/6 + 4*d**2. Let z be h(5). Solve 5*g - 12 = 3*r, 0 = 2*r - 5*g + 6 + z for r.
1
Let l = -1 + 4. Let c be -1 + l - (-18)/(-2). Let j be ((-84)/49)/(2/c). Solve 4*w - 2*p = -8, j = -2*w + 5*p + 18 for w.
-4
Let v(k) = -k**2 + 14*k - 22. Let d be v(12). Solve -d*g + 15 = 5*a - g, 3*a + 3 = -3*g for a.
4
Let a be (2/(-6) + 1)*-3. Let c = 1 - a. Suppose -16 = -2*y - 2*y. Solve -s = y*v + 4 + c, v = 5*s + 14 for s.
-3
Suppose -4*u + 5*k + 15 = -5, 4*k + 16 = 5*u. Solve u = -4*f, -c - 4*f - 1 - 4 = 0 for c.
-5
Suppose -5*m + 0*m = 0. Solve 6 = -k - 2*j - m, 3*j - 17 = 5*k for k.
-4
Suppose 5*v - 13 = -3. Let r = v - 5. Let j(x) = -x**2 - 3*x + 2. Let y be j(r). Solve 4*u + 4 = -2*m + y*u, 3*u + 6 = 2*m for m.
0
Suppose d + d = 4*d. Suppose 0 = -4*a - 2*x + 152, a - 79 + 27 = 3*x. Solve 4*y = -4*j - d*y + a, -y = -2*j + 5 for j.
5
Let p(t) = 3*t - t - 5*t - 3 + 0*t. Let w be p(-4). Solve -h + s = 0, 3*h - 4*s = -w*s + 24 for h.
3
Let h be (-330)/(-14) - 12/(-28). Let n = -14 + h. Solve 5*p = q - n, 3*p + 5*q = -5 - 1 for p.
-2
Let q = 69 - 65. Solve -i + 14 = i - q*o, -o + 10 = -5*i for i.
-3
Suppose n + 5*t - 9 - 12 = 0, -58 = -2*n - 2*t. Suppose -2*z - 3*z + 3*b = -n, 0 = -3*z - 3*b + 9. Solve -3*r + 0 = -z*c + 14, -5 = c + 2*r for c.
1
Let k(v) be the second derivative of -v**3/6 - v**2/2 + 3*v. Let c be k(-3). Solve -z - 3 = -s - s, -5*z = -c*s - 1 for s.
2
Suppose 0 = 4*k + c - 4, -2*k + 5*c = -k - 22. Solve 0 = -2*h - 3*n + 1 + 3, 10 = 5*h - k*n for h.
2
Let h(v) = -v**3 + v**2 - v + 21. Let f be h(0). Solve 3*j + f = -5*a, 3*a + 5*j + 13 = 3*j for a.
-3
Suppose 0 = -2*l - 4*v + 6*v + 14, v - 17 = -5*l. Solve -4*y + 14 = 3*c, c - l*c + 2*y + 2 = 0 for c.
2
Suppose -10*i + 4 = d - 9*i, -5*d + 17 = 2*i. Solve -2*u - 5 = -4*c - d, -2*c - 2 = -2*u for c.
2
Suppose -2*r = -4 - 2. Let p be -1 + (-22)/6*-3. Suppose -w - 12 = -2*u + w, 0 = -u - 3*w - p. Solve -3*f - u*g - r*g = 13, -4*f = -g - 21 for f.
4
Let q be (0 - 0)*1*-1. Suppose 2 = -h + 2*h. Let b(v) = 2*v**3 - 4*v**2 + 4*v - 3. Let i be b(h). Solve -2*f = f - 5*t - 21, q = -i*t - 15 for f.
2
Let w(z) = -z**2 - 5*z - 2. Suppose 4*l = l. Let b = l + -2. Let o be w(b). Solve 3*s + 5*g + 18 = 0, s + 8 = 5*s - o*g for s.
-1
Let b(j) = -j**2 - 8*j + 6. Suppose w - 60 = -w. Suppose -v - w = 5*h + 12, 4*v = -8. Let n be b(h). Solve -2*x + 6 = -o - 2, 0 = o + 5*x - n for o.
-4
Let r be 4*(-3 - (-90)/24). Solve -5*t = j - r*j - 15, -9 = -2*j - 3*t for j.
0
Let s(f) be the first derivative of 2*f**3/3 + f**2/2 + f - 1. Let v be s(-1). Let j(y) = -2*y - 9. Let p be j(-9). Solve p = -3*q + 4*l + 2, v = -l for q.
-5
Let b(v) = -v - 8. Let i be b(-8). Solve 0*r - r + 17 = -3*j, 5*r - 4*j - 30 = i for r.
2
Suppose 0 = -18*o + 20*o. Solve 1 = b, 4*m - 2*b = -o + 6 for m.
2
Suppose 0 = -5*i + 2*y + 9, -i - 2*y - 5 = -14. Suppose 2*w = i*w. Solve -3*h + 11 = 4*t, -5*t = -w*h + 2*h - 5 for t.
-1
Let r = 5 - 3. Solve 4*o - 6 = 4*h + 18, r*h = 4*o - 20 for o.
4
Let s(m) = -m**3 - 4*m**2 + 7*m - 25. Let t be s(-6). Solve t*c = 2*x - 31, x - 4 + 11 = -2*c for c.
-5
Suppose 5*c + 3*s - 36 = 0, s = -0*c + 4*c - 39. Let d = 19 + c. Suppose -3*g - d + 6 = -4*o, 3*o + g - 10 = 0. Solve -v + 3*i = -2 - o, -4*i = 2*v + 18 for v.
-3
Suppose 0 = -4*h + 3*w - 4, -5*w + 9 = -11. Solve 0 = r - h*z + 4, -3*r + 3 = 2*z - 9 for r.
2
Suppose 5*l = 10*l - 10. Solve -3*j + 10 = -l*v, -
|
{
"pile_set_name": "DM Mathematics"
}
|
tive of 442*a**2 - 43*a - 2*a - 2 + 44*a + 1 - 2916*a**5 wrt a?
-174960*a**2
Let x(r) be the second derivative of 717*r**5/10 + 625*r**2/2 - r - 111. Find the first derivative of x(c) wrt c.
4302*c**2
Let x(f) be the third derivative of -23*f**6/60 + f**5/6 + 865*f**3/6 + 1443*f**2. Find the first derivative of x(a) wrt a.
-138*a**2 + 20*a
Find the first derivative of 95*r - 95*r + 610 - 234*r**3 - 91 + 573 wrt r.
-702*r**2
Let m be ((-32)/3)/(-4) - (-9)/27. Suppose 0 = 2*p + 2*s - 12, 4*s - 34 + 12 = -m*p. What is the first derivative of -1 - 10 - 48*j**2 + p wrt j?
-96*j
Let q(c) be the first derivative of 1697*c**5/5 - c**4/4 + 12*c**2 + 4*c - 590. Find the second derivative of q(l) wrt l.
20364*l**2 - 6*l
Let k = -78 - -132. Find the second derivative of 0*a + k - 7*a + 12*a + 23*a**4 - 7*a wrt a.
276*a**2
Let s(f) be the second derivative of -649*f**4/4 + f**3/2 - 3*f**2/2 - 237*f. What is the second derivative of s(z) wrt z?
-3894
Let l(q) be the second derivative of -1713*q**5/20 + 1893*q**2/2 + 716*q. Differentiate l(n) wrt n.
-5139*n**2
Suppose 1 = -m + 7. Find the first derivative of -35 - 21 - m - 139*i + 159*i wrt i.
20
Suppose 3*y = -9, 3 = -4*h - y + 4. What is the third derivative of 7 - 8 - 2 + h - 92*c**4 + 6*c**2 wrt c?
-2208*c
Let b(m) be the third derivative of 347*m**7/210 - 5*m**4/24 - 10507*m**3/6 - 104*m**2 + 2*m - 8. Differentiate b(s) wrt s.
1388*s**3 - 5
Let m(o) be the third derivative of -o**8/168 - 151*o**7/15 + 5659*o**4/24 + 3*o**2 + 7*o - 8. What is the second derivative of m(b) wrt b?
-40*b**3 - 25368*b**2
Let f = 41 - 39. Let w be 0 + 1 - -1*6/f. Differentiate -w - 5 - 3 + 15 - 14*l wrt l.
-14
Let n be 45 - (0/(1 - 2) + -3). Let q = n - 45. What is the first derivative of 2*b**q + 14*b**3 - b**3 + 6 + 12 wrt b?
45*b**2
Let m(b) = 262*b**2 + 6*b + 435. Let n(h) = 1049*h**2 + 27*h + 1740. Let f(y) = -9*m(y) + 2*n(y). What is the first derivative of f(g) wrt g?
-520*g
Let k(d) = 4*d**2 + 5*d - 3. Let s be k(-2). Suppose -t = -s*q - 4, 4*t - q = 13 + 14. Find the second derivative of 49*l**5 - t*l**5 - 23*l**5 + 5*l wrt l.
380*l**3
Let u = 279 + -273. What is the second derivative of 3*g**5 + 44*g + 2*g**5 + 2 - u*g**5 + 3*g**5 - 44*g**2 wrt g?
40*g**3 - 88
Let n(r) = -50*r**2 + 1586*r - 409. Let o(q) = 12*q**2 + 3*q. Let x(a) = -n(a) - 4*o(a). What is the first derivative of x(w) wrt w?
4*w - 1598
Let q be (-23)/(-2) - (-2)/4. Suppose -2*z - q = -4*s, z + 0*z = -2. Find the third derivative of 7*h**6 + 2*h**s - 7*h**2 - 4*h**2 - 12*h**2 wrt h.
840*h**3
Let h(x) = -16*x**3 - 26*x**2. Let m(j) = 15*j**3 - 7*j**3 - 7*j**3. Let f = -8 - -9. Let q(i) = f*h(i) + 6*m(i). Find the third derivative of q(v) wrt v.
-60
Let n(j) be the first derivative of 135*j**4/4 - 4*j**3/3 - 1839*j - 1888. What is the derivative of n(g) wrt g?
405*g**2 - 8*g
Let d(x) = 1180 - 584 - 595. Let o(h) = -3*h**2 + 9 + 9 - 3 - 6*h**3. Let a(c) = -30*d(c) + 2*o(c). Find the third derivative of a(i) wrt i.
-72
Let x(i) be the first derivative of 11*i**7/7 + 35*i**6/2 + 3*i**5/5 - 4*i**3/3 + 1122*i**2 - 12466. What is the third derivative of x(m) wrt m?
1320*m**3 + 6300*m**2 + 72*m
Suppose 5*l - 8 - 11 = -m, 0 = -4*l + 5*m + 21. Let y = 1694 + -1689. Find the second derivative of y*h**l + 4*h - h**4 - h - 6*h**4 wrt h.
-24*h**2
Let x(n) = 100*n**3 - 16*n**2 + 3418*n. Let t(m) = 98*m**3 - 15*m**2 + 3409*m. Let a(j) = 4*t(j) - 3*x(j). What is the second derivative of a(w) wrt w?
552*w - 24
Let g(j) = 3*j - 22. Suppose 5*h + 31 = 3*k + 9*h, 3 = k + 5*h. Let f be g(k). Differentiate -4*s - 7*s + 7*s + 1 - f*s wrt s.
-21
Let m(s) = 4*s**2 + 88*s + 12. Let l be m(-22). What is the second derivative of -4*j**2 - 90*j + 26 + 2*j**2 - 16 - 10 + l*j**4 wrt j?
144*j**2 - 4
Let l(q) be the second derivative of -9*q**3 + 25*q - 2/15*q**6 + 0*q**4 + 2 + 1/10*q**5 + 0*q**2. Find the second derivative of l(k) wrt k.
-48*k**2 + 12*k
Let b = 34768/3 + -11586. Let v(w) be the third derivative of 5/3*w**4 - b*w**3 + 0 + 0*w + 21*w**2. Differentiate v(h) wrt h.
40
Let u(z) be the first derivative of -5108*z**3/3 + 3416*z - 68. Find the first derivative of u(o) wrt o.
-10216*o
What is the second derivative of g**2 + 9219*g - 3725*g + 4807489 + 792*g**3 - 4807489 wrt g?
4752*g + 2
What is the derivative of 142865*j**2 - 2*j**4 + 4806 - 72354*j**2 + 4*j**4 - 72020*j**2 - 3*j**3 wrt j?
8*j**3 - 9*j**2 - 3018*j
Let g(k) = 31221*k - 9188. Let u(j) = -7805*j + 2293. Let o(a) = 4*g(a) + 15*u(a). Differentiate o(q) with respect to q.
7809
Find the third derivative of 294*b**4 - 44*b**6 - 219 + 8*b - b**2 + 119*b**6 - 7*b - 35*b**6 - 45*b**6 wrt b.
-600*b**3 + 7056*b
Let x(p) = 629*p**2 + 9*p + 206. Let o(w) = -w**3 + w**2 - w. Let f(q) = 3*o(q) + x(q). Find the second derivative of f(h) wrt h.
-18*h + 1264
Let v(y) = 993*y**2 - 7*y + 2693. Let x(a) = -993*a**2 + 6*a - 2659. Let s(k) = 3*v(k) + 4*x(k). What is the first derivative of s(h) wrt h?
-1986*h + 3
Let x(r) = 3731*r**2 - 940. Let h(k) = 1245*k**2 - 314. Let b(a) = 11*h(a) - 4*x(a). Differentiate b(p) with respect to p.
-2458*p
Let t(u) be the second derivative of -93*u**7/7 + 3*u**5/20 - 465*u**4/2 + 932*u. Find the third derivative of t(g) wrt g.
-33480*g**2 + 18
Let p(c) = -3287*c**5 - 13*c**4 - 276*c + 7. Let q(r) = -1644*r**5 - 7*r**4 - 139*r + 3. Let f(v) = -7*p(v) + 13*q(v). Find the second derivative of f(m) wrt m.
32740*m**3
Let d(p) = -p**3 - 4*p**2 - p + 7. Let k be d(-4). Let g be (-8)/3*18/(-12). Find the third derivative of 0*u**2 + k*u**2 - g*u**3 - 6*u**2 + 0*u**2 wrt u.
-24
Let g(y) = -13374*y**2 - 3111*y + 27. Let d(q) = -6687*q**2 - 1554*q + 12. Let z(o) = -7*d(o) + 3*g(o). What is the second derivative of z(v) wrt v?
13374
Let r(t) = -4*t + 19. Let l be r(4). Find the first derivative of -m**4 - 89*m**3 + 33*m**3 + 25*m**3 - 104 + 22*m**3 - l*m**4 wrt m.
-16*m**3 - 27*m**2
Let a(j) = 13 - 4*j**2 - 7 - 7 - 5 - 19*j. Let s be a(-4). What is the derivative of 19 + s + 159*f**3 - 138*f**3 wrt f?
63*f**2
Let z(k) be the first derivative of 954*k**5/5 + 540*k**3 + 974. What is the third derivative of z(l) wrt l?
22896*l
Let u(x) be the third derivative of -1031*x**5/20 - 3803*x**3/6 - 4142*x**2. Differentiate u(r) with respect to r.
-6186*r
Let b(h) be the second derivative of -341*h**8/8 - 877*h**4/6 - 1032*h. What is the third derivative of b(t) wrt t?
-286440*t**3
Let y(c) = -c**3 + 2*c**2 - 6*c - 1. Let z be y(4). Let x = -53 - z. Find the first derivative of -1 + 3 - 3*b - 3 - x wrt b.
-3
Let t(l) = -l**3 - 45*l**2 - 3*l - 106. Let r be t(-45). Find the second derivative of -176*f - 24*f**5 - r*f**5 - 71*f - 71*f wrt f.
-1060*f**3
Suppose -12*r + 15*r = 36. What is the second derivative of y**2 - 94*y - 107*y + 215*y - r*y**3 wrt y?
-72*y + 2
Let z(k) be the first derivative of 581*k**5/5 - 13*k**2/2 + 169*k - 4060. Find the second derivative of z(g) wrt g.
6972*g**2
Find the first derivative of -201*t**2 + 9*t - 2695 + 1094 - 2010 wrt t.
-402*t + 9
Let j(k) be the first derivative of 1735*k**2 + 3987*k - 13739. What is the derivative of j(h) wrt h?
3470
Let q(o) = 9*o + 2. Let h be q(2). Suppose 4*r + n - h = 0, -30 = -5*n - 10. What is the derivative of -5*d**4 - 8*d**r + 5*d**4 - 5 - 12*d**4 wrt d?
-80*d**3
What is the second derivative of 780*g**3 + 1638*g + 1718*g - 2998*g wrt g?
4680*g
Suppose 2*k = r + 4, -3*r + 0*k = 4*k - 28. Suppose r*a = 4*w, -3*w - 3*a = -15 - 3. Differentiate 12*j**3 - 7*j**w - 25 + 7*j**3 + 5*j**3 wrt j.
51*j**2
Let y(z) be the second derivative of -902*z**7/21 - 441*z**4/4 - 810*z. Find the third derivative of y(j) wrt j.
-108240*j**2
Let y = -567 - -697. Find the second derivative of -2*p**3 + 4*p**3 - 106*p - 3*p**4 - p**3 + 267*p + y*p wrt p.
-36*p**2 + 6*p
Differentiate -222 + 10*n**4 + 12*n**2 - 824 - 5*n**2 - 58*n**2 + 18*n**2 with respect to n.
40*n**3 - 66*n
Let f(d) be the second derivative of 1/10*d**5 + 0*d**4 + 0 - 3/2*d**3 - 26*d**2 - 2*d. Differentiate f(n) with respect to n.
6*n**2 - 9
Let a(n) be the first derivative of 1339*n**4/4 - 365*n - 865. Differentiate a(b) wrt b.
4017*b**2
Let o(t) = -292*t**3 - 31*t**2 + 4*t + 3. Let p(i) = 583*i**3 + 63*i**2 - 7*i + 9. Let c(h) = -7*o(h) - 4*p(h). Find the third derivative of c(r) wrt r.
-1728
Let u(z) =
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{
"pile_set_name": "DM Mathematics"
}
|
/720 + m**6/24 + 4*m**3/3 + 22*m. Let u(l) be the second derivative of z(l). Find the third derivative of u(i) wrt i.
-840*i**3
Let p(l) = 16*l**4 + 6*l**3 - 22*l**2 - 2. Let x(v) = 33*v**4 + 14*v**3 - 45*v**2 - 4. Let k(m) = 7*p(m) - 3*x(m). What is the third derivative of k(z) wrt z?
312*z
Let b(y) = y**3 - y**2 - y + 1. Suppose 7*z + 23 = 9. Let f(w) = w**4 - 2*w**3 - 5*w**2 + 2*w - 25. Let r(p) = z*b(p) - f(p). Differentiate r(v) wrt v.
-4*v**3 + 14*v
Let n(l) = -2805*l + 2079. Let q(p) = -561*p + 414. Let a(g) = -2*n(g) + 11*q(g). Find the first derivative of a(j) wrt j.
-561
Let a = 47 + -42. What is the derivative of 4 + 9 - a*n**2 - 5 wrt n?
-10*n
Let v(q) be the second derivative of 0 + 15/2*q**2 - 5*q - 5/6*q**3. Differentiate v(p) with respect to p.
-5
Let w = -9 + 11. What is the third derivative of 5*z**w - z**4 + 0*z**2 - 2*z**4 + 0*z**4 wrt z?
-72*z
Differentiate -74*s - 22 - 10*s - 17 with respect to s.
-84
Let c(m) = m**2 - m - 1. Let d be (2/2)/((-6)/(-54)). Let r(o) = 0*o + 5*o - d*o**2 + 8 - o. Let f(i) = 4*c(i) + r(i). Differentiate f(w) wrt w.
-10*w
Let r(l) = l + 1. Let o be r(0). Suppose 4*b + 5 - o = 4*u, 0 = 2*b + u - 10. Find the third derivative of -5*a**2 + 8*a**3 - 3*a**b + 6*a**3 wrt a.
66
Let r(i) be the second derivative of -22*i + 1/2*i**3 + 0 - 1/30*i**6 + 0*i**5 + 0*i**4 + 0*i**2. What is the second derivative of r(m) wrt m?
-12*m**2
Let q(d) be the first derivative of -13*d**5/60 - d**3/6 - 15*d**2/2 + 7. Let i(r) be the second derivative of q(r). Find the first derivative of i(k) wrt k.
-26*k
Find the first derivative of 19 - 22*f + 22*f + 83*f**3 wrt f.
249*f**2
Suppose 5*p - 49 = -a, 13 + 35 = 5*p + 2*a. Differentiate 30 + 3*m - 5 - 14 + p*m with respect to m.
13
Let c(v) be the third derivative of 19*v**5/12 + 103*v**4/24 + v**3/3 + v**2 + 22. Find the second derivative of c(s) wrt s.
190
Let w be (-56)/(-40)*3/21*0. Let u(n) be the second derivative of -1/6*n**3 + w - 5/2*n**2 - 3*n. What is the first derivative of u(r) wrt r?
-1
Let x(a) be the second derivative of -6*a + 0*a**5 + 17/6*a**3 + 0*a**6 + 0*a**2 - 1/21*a**7 + 0 + 0*a**4. Find the second derivative of x(i) wrt i.
-40*i**3
Let d(u) be the first derivative of -4*u**5/5 - 23*u**4/12 - 21*u - 41. Let m(x) be the first derivative of d(x). Find the third derivative of m(s) wrt s.
-96
Let j(y) = -y + 1. Let k(l) = 3*l - 13. Let u(d) = -2*j(d) - k(d). Let p be u(7). Find the second derivative of -12*h + h**p + 10*h**5 - h**4 + h**5 wrt h.
220*h**3
Let d = 64 - 60. Find the second derivative of -117*a**3 + 57*a**3 + 60*a**3 - 7*a + 29*a**d wrt a.
348*a**2
Let p be (-9)/((-15)/5) + 3. What is the third derivative of -36*w + 36*w - 9*w**5 + p*w**2 wrt w?
-540*w**2
Let w(n) = -7*n**2 - 1 + 2*n + 6*n**2 - n. Let u(t) = -4*t**2 + 5*t - 2. Let s(b) = u(b) - 2*w(b). What is the second derivative of s(d) wrt d?
-4
Let l(m) be the third derivative of -31*m**7/105 - m**6/120 - 3*m**4 + m**3/3 + m**2 - 177*m. What is the second derivative of l(b) wrt b?
-744*b**2 - 6*b
Let g(o) be the third derivative of 23*o**6/120 - o**4/12 - 37*o**3/2 - 226*o**2. Differentiate g(d) with respect to d.
69*d**2 - 2
Let d(o) = o + 356. Let j(w) = -w + 179. Let t(g) = 3*d(g) - 5*j(g). Differentiate t(y) wrt y.
8
Let x(w) = 13*w - 94. Let q(j) = j + 1. Let t(a) = 2*q(a) - 2*x(a). What is the derivative of t(g) wrt g?
-24
Suppose -2*v - 2*m = -4*v + 16, -4*m = -4. Find the second derivative of 2 - 11 - 12*u + v + 22*u**2 wrt u.
44
What is the second derivative of -146*f**2 - f + 155*f**2 - 3*f - 114 + 6*f + 4*f**3 wrt f?
24*f + 18
Let u(b) be the first derivative of -2*b**3/3 - 17*b**2/2 + 136*b + 92. What is the derivative of u(i) wrt i?
-4*i - 17
Let y(k) be the second derivative of 29*k**4/12 - 23*k**3/6 - 41*k + 3. Find the second derivative of y(w) wrt w.
58
Let s(y) be the second derivative of -125*y**7/42 + 16*y**3 + y**2/2 + 216*y. Find the second derivative of s(i) wrt i.
-2500*i**3
Let z(k) be the second derivative of -91*k**5/20 + 59*k**4/12 + k**3/3 - 15*k - 4. Find the third derivative of z(j) wrt j.
-546
Find the third derivative of -161*h**2 - 9 + 7 - 110*h**3 - 264*h**3 - 117*h**3 wrt h.
-2946
Let r = -30 - -43. Suppose 0 = -6*f + r + 17. What is the second derivative of -f*l**5 + 2*l**5 + 5*l**5 - l + 2*l**5 wrt l?
80*l**3
Let q(r) = -r**3 - 2*r**2 + 2*r + 2. Let v be q(-3). Find the third derivative of 11*j**v - 16*j**5 - 15*j**2 + 5*j**5 - j**6 wrt j.
-120*j**3
Let k(o) be the third derivative of 1/42*o**7 + 0*o**4 - 5*o**2 + 0*o + 1/20*o**5 + 0 + 0*o**6 + 0*o**3. What is the third derivative of k(l) wrt l?
120*l
Let q(z) be the third derivative of -7*z**5/60 + z**4/24 + 7*z**3 - 2*z**2 + 2*z. Find the first derivative of q(o) wrt o.
-14*o + 1
Let r(c) be the third derivative of -149*c**4/6 - 34*c**3 + 43*c**2. What is the first derivative of r(u) wrt u?
-596
What is the derivative of 475 - 225*z**3 - 456 - 23*z**3 wrt z?
-744*z**2
Let v = 198 + -197. Let l be (-1)/(-4) - (-1)/(-4). Differentiate l + 3*r**4 + v + 1 wrt r.
12*r**3
What is the second derivative of 90*y**2 - 90*y**2 + 5*y + 34*y + 20*y + 524*y**4 wrt y?
6288*y**2
Find the third derivative of 814*w**4 + 7*w + 14*w + 56*w**2 + 47*w**2 - 18*w wrt w.
19536*w
Let w = 0 - -2. Suppose 13 = w*m + 5*g, -2*m + 3*g + 4 + 1 = 0. What is the second derivative of 2*q - q + q**2 + m*q**2 wrt q?
10
Find the second derivative of -114704*s - 73*s**4 + 114821*s - 81*s**4 wrt s.
-1848*s**2
Let n(s) be the third derivative of -17/210*s**7 + 5*s**2 + 0 + 0*s + 0*s**6 + 0*s**3 + 0*s**5 - 1/3*s**4. Find the second derivative of n(f) wrt f.
-204*f**2
Let g(d) be the second derivative of -d**4 + 0*d**3 + 0*d**5 + 0 + 0*d**2 - 2*d - 13/30*d**6. What is the third derivative of g(l) wrt l?
-312*l
Let s(m) be the first derivative of 128*m**5/5 - m**2/2 - 26*m + 82. What is the second derivative of s(y) wrt y?
1536*y**2
Let c(r) = -377*r - 758. Let u(g) = 125*g + 252. Let x(o) = 6*c(o) + 17*u(o). What is the derivative of x(i) wrt i?
-137
Let h = -3 - -6. What is the second derivative of -4*l**h - 15*l + 26*l**3 + 14*l wrt l?
132*l
Let j(q) be the first derivative of -152*q**2 - 154*q + 207. Find the first derivative of j(v) wrt v.
-304
Let j be 1/((-6)/321*2/(-20)). Find the second derivative of 11*p**4 + 2*p - j*p**3 + 535*p**3 wrt p.
132*p**2
Suppose 7 = 5*a - 13. Suppose -2*s = -4*s + a. Differentiate -3 + 2*c**2 - c**2 - s*c**2 with respect to c.
-2*c
Let p be (-4)/(3/15*-2). Let s be (12/p)/((-32)/(-80)). What is the first derivative of -2*f**2 - f**2 + s - 4*f**2 + 3*f**2 wrt f?
-8*f
Let n(x) = -59*x**3 - 18*x**2 - 3*x. Let o(q) = -120*q**3 - 36*q**2 - 5*q. Let t(k) = 5*n(k) - 3*o(k). What is the third derivative of t(d) wrt d?
390
Suppose 5*u - 125 = -5*h, -4*u - 120 = -5*h - 8*u. Suppose 0 = 4*p - 0*p - h. What is the second derivative of 0*c**p - 3*c**5 - 6*c + 124 - 124 wrt c?
-60*c**3
Let j(a) be the first derivative of -215*a**4/2 - 3*a**2 - 28*a - 147. What is the second derivative of j(i) wrt i?
-2580*i
Find the second derivative of -223*t - 6*t**2 - 57*t - 32 + 8*t**3 + 0*t**2 + 32 wrt t.
48*t - 12
Let j(d) be the third derivative of -19*d**7/105 - d**6/60 + 25*d**3/2 - 40*d**2. Differentiate j(s) wrt s.
-152*s**3 - 6*s**2
Let i(n) = -20*n**3 + 5. Let f(l) be the first derivative of l**4 - l + 4. Let d(m) = 33*f(m) + 6*i(m). Differentiate d(v) wrt v.
36*v**2
Let m(k) be the second derivative of -19*k**2 + 0*k**4 - 1/15*k**6 + 0*k**3 + 8/5*k**5 + 3*k + 0. Differentiate m(n) wrt n.
-8*n**3 + 96*n**2
Let q(y) be the second derivative of -2*y**6/15 - y**5/4 + 46*y**2 + 76*y. What is the derivative of q(w) wrt w?
-16*w**3 - 15*w**2
Let f(m) be the first derivative of -195*m**4/4 + 94*m**3/3 - 19. Find the third derivative of f(c) wrt c.
-1170
Let q be -35*(-2 - (-7)/5). Let b = -15 + q. Find the third derivative of -3*s**b - 2*s**2 + 2*s**6 + 0*s**4 + 0*s**4 wrt s.
-120*s**3
Let v(i) = 372*i**2 + 7*i + 957. Let f(a) = -124*a**2 - 2*a - 319. Let x(y) = 14*f(y) + 4*v(y). Differentiate x(w) with respect to w.
-496*w
Let p(m) = -m**2 - 7*m - 6. Let k(a) = a**2 + a + 1. Let q(g) = 3*k(g) + p(g). Let d(s) be the first derivative of q(s). Differentiate d(w) wrt w.
4
Let r(h) = 2*h**3 - h**2 - 1. Let a(q) = 121*q**3 + 6
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4*p - 6. Let r be v(-2). Suppose -3*y + 13 = 5*k, -3 = -3*y - r*k + 4. Let u be 25/290*(12/(-15) - -2). Is u < y?
True
Let x = -32 - -78. Let q = x - 42.1. Let p = -3.6 + q. Which is bigger: p or 0.7?
0.7
Let b(f) = f**3 + 56*f**2 - 7*f + 17. Let p be b(7). Which is smaller: p or 9166/3?
p
Let h = 45/11 - 5. Suppose 0 = 3*v + 3*m - 12, 4*m + 25 - 41 = -3*v. Which is bigger: v or h?
v
Let v be ((-1140)/14)/(160/(-4480)). Let h = -5 - -9. Let n be 2276*4/v - h. Which is smaller: n or 0?
n
Let c = -33.77 + 0.77. Is c < -15?
True
Let u(p) = -196*p + 8821. Let f be u(45). Which is bigger: -47/99 or f?
f
Let w(y) = y**3 - 4*y**2 - 6*y - 4. Let m be w(5). Let d = 151 + -125. Suppose 3*v + d = -l - 0*l, -16 = v + 4*l. Which is bigger: m or v?
v
Suppose -3 = 12*r - 99. Let x(z) = 5*z**2 - 9*z + 56. Let n be x(r). Is n greater than 304?
False
Let p be 5*(-3 - (-16)/3). Let v(o) = -o + 6. Let f be (120/160)/(0 - 1/8). Let k be v(f). Are k and p unequal?
True
Suppose 1476 = 15*b - 1809. Let p = b - 387. Is p > -169?
True
Let g = 1/12 - 31/12. Let w = 5.71 - 4.81. Which is greater: g or w?
w
Let y = -5624.968 + 6066. Let u = -441 + y. Are -2/3 and u non-equal?
True
Let z = -2092 - -2086. Which is smaller: z or -1.71?
z
Let y(i) = 8*i**3 + 59*i**2 + 320*i - 10. Let g be y(-8). Which is bigger: g or -2891?
g
Let b = -472037 + 7087159/15. Which is bigger: b or 439?
b
Let x = 7795 - 3060. Is x > 4735?
False
Let i(r) = -r**3 - r + 2. Let s(z) = 6*z**3 + 27*z**2 + 7*z - 15. Let a(w) = 5*i(w) + s(w). Let u be a(-27). Is u less than -55?
True
Let m = 0 - -13. Let r(o) = 9*o - 75. Let n(b) = -4*b + 37. Let x(w) = m*n(w) + 6*r(w). Let f be x(-16). Is f > -14/11?
True
Let f = -119 - -67. Let d = -796.3 + 743.9. Let p = f - d. Is p greater than 6?
False
Let k = -49 + 27. Let j(x) = -180*x**2 + x + 3. Let y be j(-1). Let c = 155 + y. Is k != c?
True
Let d(q) = 2*q**3 - 10*q**2 + 8*q + 1. Let l be d(4). Which is greater: l or -37/86?
l
Suppose 2976 = -5*o + 29*o. Is o less than 373/3?
True
Suppose -8 = 76*z - 74*z, -3*z - 20 = 2*x. Which is greater: 2325 or x?
2325
Let z be -14*-5*(-5)/50. Let t be (-10605036)/(-3104185) - 3 - (-3)/z. Let x = t - 2/2861. Are x and 0 non-equal?
True
Let x be 4/(-22) + 506/121. Suppose f - 3*u - 39 = 0, x*f - 186 = -u + 3*u. Let m be (-54)/(-9) + 160/(-25). Which is bigger: f or m?
f
Let k be (18/3 + -4)*(2 + -1). Suppose -k*y = 34 - 34. Suppose -v + 2 - 7 = y. Is -6 equal to v?
False
Let t = -151 + 629/4. Suppose 54 = -2*a + 224. Let y = a + -79. Do t and y have different values?
True
Let k = 15199/50 - 304. Suppose 36 = -160*b + 163*b. Let l be (-2)/b*(0 + 2). Which is smaller: k or l?
l
Suppose 0 = 5*c + 3*l - 10028 - 3191, -5*l + 2635 = c. Which is greater: 2643 or c?
c
Let q = -5 - -13. Let r(j) = j**3 + 11*j**2 - 17*j - 56. Let u be r(-12). Suppose -4*y + u = q. Is y at least as big as -1?
True
Let h = 30 - 28. Suppose 5*b + 2 = -2*q - 4, -h*b = -4. Let f be ((-2)/(-8))/((-2)/q). Are f and 0 equal?
False
Let a(d) = d**3 + 17*d**2 + 20*d - 6. Let c be a(-16). Let w be c/(-6)*(11 - 8). Let v be 4/10 - (-3 + w/25). Which is bigger: v or 1?
v
Suppose 0 = 2*h + 5*r + 7, -r + 14 = 5*h - 3. Suppose 0 = -h*b + b + g - 74, -5*g + 25 = 0. Which is greater: -24 or b?
b
Suppose -4*s = 3*u - 6582, -9*u + 5*u = 8. Let o be ((-2)/(-13) - s/(-9828))*4. Are o and 2 equal?
False
Let h be 0/(42/(-14) + 1). Which is smaller: h or -18/71?
-18/71
Let j = 97.3 - 97. Let a = j - 1.3. Which is smaller: a or -208?
-208
Suppose 0 = 2*h + 3 - 7. Let t(u) = 2*u**2 - u - 2. Let p be t(2). Let l be p/h + (-10)/65. Is 2 smaller than l?
False
Let t = 67789 + -403886861/5958. Is t greater than or equal to 1?
False
Let t = 21379/95 - 1126/5. Let c = -287 - -288. Which is smaller: t or c?
t
Let o = -6853.31 + 6883. Let b = o - -2.31. Is 0 less than b?
True
Let p = 550 + -546. Let g be 86 + (0 - (-4)/(-2)). Suppose -32 = p*y - g. Are 14 and y nonequal?
True
Let z = -0.1504 + 0.0504. Let y(o) = -7*o**2 - 4*o + 4. Let n be y(3). Let d = 275/4 + n. Is d at most as big as z?
True
Let m be (16/180)/((-954)/45 - 12). Which is smaller: m or -1?
-1
Suppose -440*h - 33277 = -333*h. Which is smaller: -312 or h?
-312
Let p = -2944 + 2914. Suppose -4*h + 0*h - 136 = 0. Let k be h - -3 - 0/(-2). Is p at least as big as k?
True
Let p = -4569 + 4206. Is -358 at least as big as p?
True
Suppose 0 = 3*p - 5*n + 1270, -3*p - 5*n + 229 - 1479 = 0. Let i be (-300)/p + (-1 - (-18)/14). Which is smaller: -16/53 or i?
-16/53
Suppose -164*g = -157*g + 1953. Is g at most as big as -279?
True
Suppose 6*p = -2*p - 176. Let i be (63/(-12))/(8/32). Which is smaller: p or i?
p
Let s(m) = -m**2 - 85*m - 1651. Let d be s(-54). Do 706/31 and d have different values?
True
Let c = -5813597/679 - -8562. Which is greater: c or 2/5?
2/5
Suppose 3*h = 4*l + 19, 16*l - 20*l - 9 = -h. Which is smaller: 12/83 or l?
l
Let d be -1476*((-154)/(-11) + -13). Which is smaller: d or -1480?
-1480
Let v = 14683 + -14614. Which is bigger: v or 0.96?
v
Let y = -11 - -2. Let m = 193 - 191.78. Let g = 1.52 - m. Which is bigger: g or y?
g
Suppose 67 = -2*i + 75. Suppose -580 = -4*d + i*b, 2*b - 441 = -3*d + 3*b. Is 150 > d?
True
Let d(q) = -51*q. Let l be d(-2). Suppose 0*t - l = 3*t. Suppose -29 = 6*s + 181. Is s at least as big as t?
False
Let d(g) = 2*g**2 + 92*g + 668. Let p be d(-37). Which is smaller: p or 49/29?
49/29
Let s(d) = d**2 - 6*d**2 - 3 - d**3 - 7*d**2 + 9*d + 3*d**2. Let w be s(-8). Is w greater than or equal to -136?
False
Let u(q) = -7*q**2 - 133*q - 3162. Let t be u(-23). Which is bigger: t or -11419/3?
t
Let y(p) = -7*p**3 + 19*p**2 + 6*p. Let q be y(3). Is q less than or equal to -17/98?
False
Let v be 4/(-1)*((-235)/(-10) - 23). Are -139/61 and v unequal?
True
Let x(p) = -p**2 + 173*p - 6839. Let b be x(69). Which is smaller: -15 or b?
-15
Let d = 17496 - 17495. Is -20/2029 not equal to d?
True
Let b = 47 + -47. Suppose 14*k + 62 + 36 = b. Does k = -5?
False
Let v = -251 - -433. Suppose -25 = -f + 4*z + 15, 5*f = 2*z + v. Let d = f + -52. Which is smaller: d or -29/2?
d
Let z be ((-4)/3)/(1 + 21). Let x = -0.02668 - 0.07332. Are x and z unequal?
True
Let u(j) = -35*j - 1 + 37 + 98*j. Let y be u(-4). Is y >= -217?
True
Suppose 2*l - 2*o + 164 = 0, l - 2*o = -0*l - 80. Let g be 15*((-453)/6)/(l/8). Let n = g + -108. Is 1 at least n?
True
Suppose 5*x + 54*g + 600 = 50*g, 0 = -2*g. Let j be x/(4 + -1) + (5 - 9). Which is bigger: -217/5 or j?
-217/5
Suppose -5*h = -3*o - 421, h + h + 2*o = 178. Suppose -h = -i - 109. Let t = -17 - i. Which is bigger: t or 2?
t
Let a be (-3)/9*-6 - 581/207. Let i = a + 16/23. Is -0.1 >= i?
True
Suppose 15*t - 189 = -6*t. Let o be 12/(-36) + 84/t. Which is greater: o or 10?
10
Suppose -z = -4 - 0, -2*i - 38 = -4*z. Let j = -8 - i. Let h be (-156)/65*((-33)/6 + 3). Which is greater: h or j?
h
Suppose 5*u - 34 = -a, 3*a + 5*u - 50 - 52 = 0. Let z be 83/861*2 - a/357. Is z less than 0?
False
Let n(v) = 68*v**3 - 2*v + 1. Let c be n(1). Suppose -329*t = -113*t - 14256. Is t at most as big as c?
True
Let s = 78773 - 78798. Let u = 0.2 + 3.8. Which is smaller: s or u?
s
Let j = -0.1381 + 0.1381. Let u = 25/9 - 641/234. Are u and j equal?
False
Let w = 5/202 - -6439/1010. Suppose 14*p + 24 = 94. Is p smaller than w?
True
Let b = 10/3 + -236/69. Let f(g) = -2*g**2 - 2*g + 17. Let x be f(2). Suppose 0 = 4*m - 6*m - x*l - 13, 4*m + 5*l + 11 = 0. Are b and m unequal?
True
Suppose -2*a = a. Let m(w) = w**3 + 6*w**2 - 9*w + 1. Let i be m(-7). Suppose 17 = 2*x + i. Is x at least a?
True
Let h = -1326 + 1334.17. Let z = -84.83 + 85. Let i = z - h. Which is smaller: i or 1?
i
Suppose 4*b - b = f + 155, -5*b - 5*f = -285. Let d = b + -74. Let h be -4 - (-47)/10 - 1/2. Which is bigger: d or h?
h
Suppose 8*f - 68 - 4 = 0. Suppose f = -21*n + 219. Is n bigger than 10?
False
Suppose 0 = 16*z - 20*z + 292. Let c be (-3)/(-10)*2 - z/5. Let x be c/4 - 12/24. Which is greater: -24/7 or x?
-24/7
Let n = 187/480 - -1/96. Let p be 1275/21 + 3 + (-38)/14. Let q = 60 - p. Are n and q non-equal?
True
Let r = -9291 - -9376. Which is smaller: r or 119?
r
Let h be 4/(-21)*(971/(-4) + 348/(-1392)). Which is smaller: 45 or h?
45
Let b = 5810/13 + -123412/299. Is 35 < b?
False
Let u be -1*(-2 + -15 - 3)
|
{
"pile_set_name": "DM Mathematics"
}
|
0, 43*c + 3*j - 1928 = -208 for c.
40
Solve g - 70 = -5*o - 6*g + 4*g, 503*o - g = 2500 for o.
5
Solve -246*o + 5*q - 55 = -251*o, 0 = 2*o - 5*q + 6 for o.
7
Solve -2*d - 2*a - 2 = 0, -139*d = -130*d - 2*a + 4*a + 8 + 8 for d.
-2
Solve -29 = -18*h + 21*h - 5*c, -5*c = -4*h + 19 - 40 - 21 for h.
-13
Solve 4*b - 5*n - 42010 = -41722, 144 = 2*b + 2*n for b.
72
Solve -2*w - 46 = 2*h, -1847*w + 1843*w - 119 = 5*h for h.
-27
Solve 2*p = -22*q, 2*p + 10 = -0*q - q - 4*q + 4*q - 11 for p.
-11
Solve 2*q + 17*k - 21*k - 12 = 0, -2*q - 4*k + 38 = 4*q - 3*q for q.
10
Solve -h - 2391*o = -2390*o - 2, -5*h + 6*o + 36 = -18 for h.
6
Solve 28 = 4*d - 0*q - 5*q, 2*d = 7*q + 32*q + 160 for d.
2
Solve 3*f + f + 292*d - 287*d - 30 = 3*f, -141*d + 977 = 2*f for f.
-5
Solve 14 = 5*z + 1451*t - 1447*t - 17, -15*z + 2*t + 29 = -2*t for z.
3
Solve x + 5*c = 27, 28*x + c = 25*x - c + 29 for x.
7
Solve 5226*v + 200 = 5221*v + 5*a, -11*v + 12*v - 30 = -a for v.
-5
Solve 0 = -196*b + k + k + 1160 - 7228, 2*k - 147 = 5*b for b.
-31
Solve -3*s + 2*l = 57195 - 57229, 22 = -24*s - 5*l for s.
2
Solve 0 = 5*t + 3*x - 62, 3*x + 65 = -t + 87 for t.
10
Solve 0 = -3*m + 4*a - 43, 4*a - 71669 = -8*m - 71681 for m.
-5
Solve -5*i - 6 = -2*p, 5979*i - 4*p + 14 = 5968*i for i.
-2
Solve -g - 5 = -5*l, 4 = l - 66*g + 30*g + 27*g + 3 for l.
1
Solve 2*f + f + 3*v - 24 = 0, 86575*f - 5*v = 86576*f - 44 for f.
-1
Solve -5*c - 5*l + 43 + 152 = 0, 59*c + 2*l - 3958 = -67*c + 27*c for c.
40
Solve 4*o - 6 = -5*a, -o - 190581*a + 190586*a = 11 for o.
-1
Solve 126*o - 130*o + 124 = -12*t, 2*o - 35 = -3*t for t.
-3
Solve -6054*g + 26 = -6058*g - t, t = -11*g - 2*t - 75 for g.
-3
Solve -b - 5 + 3 = -5*o + 3 - 25, -3*b = 5*o for b.
5
Solve 24 = 4*j + 40, -16*f = 3*j - 1320 + 292 for f.
65
Solve f = 2*d - 45, 2*d + 2*f + 11 - 8 = 5*f + 58 for d.
20
Solve -12*j - 4*o + 62032 = 62124, 0 = 4*j - 5*o - 115 for j.
0
Solve -2*z + 10 = 0, -13*z + 20 = -23*v - 9*z for v.
0
Solve -3*g = 4*p + 6*p + p + 77, -5*p = -0*p - 12*g + 35 for p.
-7
Solve 3*m = 2*g - 39 - 0, -127 = -5*g - 3*m + 2 for g.
24
Solve -200*z - 3*n + 69 = -200*z, -2*z - n = -15 for z.
-4
Solve 4*a + 282 = 4*z + 94, -283 + 101 = -4*z + 2*a for z.
44
Solve 0 = -8*h - 15*c + 17*c + 2, -2*h + 7*h - 3*c + 4 = 0 for h.
1
Solve 48*x + 6 - 16 = 53*x, -2*x = 19*s - 12*s - 7*x + 16 + 9 for s.
-5
Solve -3*y = 2*i + 4, -4*y + 11*i = -2*y - 3*i - 38 + 10 for y.
0
Solve 3*j + 2*q + 778 - 399 = 397, -12 = -2*j - 4*q for j.
6
Solve -11*l + 31*x = -50, 4*l + 3*x + 97 = 158 for l.
13
Solve -l + 197 = 5*o, -15*o + 295*l - 307*l + 564 = 0 for o.
40
Solve -4*n = 2*v - 14, 22736*v - 3*n - 70 + 78 = 22737*v for v.
5
Solve -424*n + 46*n = 119*n + 5*f + 160, -5*n + 3*f = -96 for n.
0
Solve 23*a - 67 = 25*a - 75*p, 4*p + p = -a + 9 for a.
4
Solve -53 = 5*f - z, -1813*f - 4*z = -1816*f - 127 for f.
-5
Solve -20 = -5*w - 57722*s + 57716*s, -4*s = 5*w - 20 for w.
4
Solve 7814 = 6*m - z + 7832, 5*z - 40 = 5*m for m.
-2
Solve -17*p - 15 = -18*p + 2*q, -15*q + 34*q + 105 = 2*p for p.
5
Solve -19*c + 4*k = -160, -4*c + 3*k + 156 = 118 for c.
8
Solve -49 = -4549*f + 4543*f - 7*t, -3*f = 3*t - 21 for f.
0
Solve w + 26 = 5*m, 11*w - 3*m - 8 = 19 - 53 for w.
-1
Solve -3*x + 4*x = -3*i + 26, 9*i + 8*x - 85 = 12*x for i.
9
Solve -3*b - 32*m + 106*m = 35*m + 35*m + 1, -b - 3*b + 4*m = 0 for b.
1
Solve -3*u = -66, p - 3*p + 35 = -34*u - 61 + 589 + 265 for p.
-5
Solve -z - 5*t + 1 = -19, 31*t - 34*t = -z + 28 for z.
25
Solve -4*b - 368 + 344 = 4*q, -3*q = q + 5*b + 35 for q.
5
Solve 18*t - 7*i = -3*i - 104, 4*i + 19 = -2*t - 6*i + 91 for t.
-4
Solve -3*h + 20*m - 31 = 9*m + 3*m + 9*m, -3*m = 3 for h.
-10
Solve -7*x - 155 = -c, 40374*x = -c + 40377*x + 92 - 25 for c.
1
Solve 9*y + 8*i = 9*y + 6*i + 10, 14*y + 325 = -5*i for y.
-25
Solve 6*v - 82 + 166 = -4*m + 3*v, -4*m - v = 20 for m.
3
Solve 295898*n - 295894*n = -4*s + 32, -43 = s - 16*n for s.
5
Solve 4*a + 32 = -c, 2*a = -44*c + 45*c - 16 for c.
0
Solve 0 = 692269*j - 692270*j + 4*w + 26, -j + w = -0*w - 11 for j.
6
Solve -4*a = -13*p + 14*p + a - 41, -27*p = 2*a - a + 99 for p.
-4
Solve 12*d = -3*t - 135, 343446 = 2*d - 5*t + 343441 for d.
-10
Solve 5*r + 3*l + 456 = 2*l + 452, 4*l + 1 = -5*r for r.
-1
Solve 0*r + 2*r - 59 = -5*t, 6*r = 19*r - 351 for t.
1
Solve 20 = -1540299*v + 1540304*v + 5*k, -24*k + 152 = -4*v for v.
-2
Solve -1115*s - 5*a - 17 = -1113*s, 2*s + a - 3 = -0*a for s.
4
Solve -o - c + 126343 - 126345 = 0, o - 5*c = 22 for o.
2
Solve 0 = 24*c - 25*c - 13*k + 170 + 130, -c = k - 24 for c.
1
Solve -3*i - 2*w = 10, 1029*i + 79*w = 1031*i - 636 for i.
2
Solve 2*z = -4*a - 36, -67330*a + 67325*a - 41 = 2*z for a.
-5
Solve -k - 1243 = 200*q + 109*q, -5*k - 31 = -q for k.
-7
Solve -3*q = -2*z - 25, -121*q + 2*z + 91 = -115*q + 51 for q.
5
Solve -3*n - 793*k = -792*k + 4, 3*n + 59 = 4*k for n.
-5
Solve -31*k - 25*k + 55*k - 103 = -5*a, a = 6*k + 38 for a.
20
Solve -2*y + 3*q + 5558 = 5560, 0 = 7*y + 20*q - 115 for y.
5
Solve 3*w + 5*a - 12 = 0, -388*a + 384*a = 2*w - 8 for w.
4
Solve 20 = -30*f + 87*f + 4*q, 3*f - 7*q + 41 = 6 for f.
0
Solve 4*d + d + 90 = 124*b - 174*b, 0 = 3*b - 4*d - 244 for b.
4
Solve -14866*i - 45 = -14869*i - 3*v, -4*i - v + 69 = 0 for i.
18
Solve -6*d + 3*s = 1702 - 1837, -s - 105 = -5*d for d.
20
Solve 14*n - 3*o - 2*o = 319, -2*n + 185 = 49*o - 52*o for n.
1
Solve -5*n - 5*i + 16 = -4*i, -37*n - 6*i + 50 = -10*i for n.
2
Solve 16*x + 2*s = 13*x - 24, 516*s + 619 - 2177 = x for x.
-10
Solve 2*l - 18 = 5*n, 3676*l - 4*n = 3679*l - 4 for l.
4
Solve 32 = -f + 141*p - 138*p, 36 = -f - 0*p + 4*p for f.
-20
Solve -x = 24*s + 39, 906443 - 906524 = -2*x + 5*s for x.
33
Solve -4*k - k - 25*c = -23*c + 7, -4*c - 44 = 0 for k.
3
Solve 4*l - 238 = -5*g + 309, 5*l + 0*g + 3*g - 336 = 0 for l.
3
Solve 0 = -u - 51*d - 115*d + 511, 0 = 3*u + 3*d - 48 for u.
13
Solve r - k = -4730 + 4746, 0 = -5*r + 4*k + 63 for r.
-1
Solve 28*z + s - 5 = 28*z, -20 = -11*z - 4*s for z.
0
Solve 6*c + 16 = 4*o, -4*o - 4*c = -884 + 888 for o.
1
Solve 86 = -k - 6*p + 5*p, -5*k + 93 - 285 = 6*p + 326 for k.
2
Solve 2*f - 22 = -789368*a + 789366*a, f = -67*a + 407 for f.
5
Solve -1738*w + 1742*w + k - 12 = 0, 0*w + 5*k + 60 = 4*w - 0*w for w.
5
Solve -3*s + 16 = 4*x, -9 - 13 = -2*s + 2*x - 2 for s.
8
Solve -j - 12*l - 916 + 983 = 0, 5*j = 3*l - 43 for j.
-5
Solve -4*t + 5836 = -734*d, -2*d - 34 = -1483*t + 1485*t for d.
-8
Solve 1499*b = -5*t + 1502*b + 38, -2*b - 24 = -2*t for t.
1
Solve 12*u + 18 = 2*z + 16*u, 0*z - 3*z - 23 = -z + u - 32 for z.
3
Solve 4*n = 4*k + 28, 5*n - 91 = 4*k + 73 - 129 for n.
7
Solve 0 = -3*x - 5*h - 155, -4*h + 957 - 1094 = 5*x for x.
-5
Solve 2*p + 74*g - 54 = 70*g, -139 = -3*p - 64*g for p.
25
Solve 0 = -5*p - 5*g - 50, 165*p = 169*p + g + 34 for p.
-8
Solve r + 22315*p + 311 = 22289*p, -2*p - 20 = 4*r for r.
1
Solve -62*t + 59*t + 69*h - 1440 - 3678 = 0, 5*t + 5*h = 350 for t.
-4
Solve 0 = -2915*i + 2920*i - 2*h - 38, -4*h + 52 = 22*i for i.
4
Solve z + 5*x - 10*x = -x - 58, -10*z = 3*x - 22 for z.
-2
Solve -7*h - 210380 + 210387 = -3*h + 3*t, 3*t = -0*t - 9 for h.
4
Solve -x + 454 = -11*v, -8*v + 17*v - 244 = -13*x + 14*v for x.
3
Solve 2*y + 2*c = -30, 47661 = 2*y + 4*c + 47701 for y.
-10
Solve 5*w + 105 = -5*j, 7*j + 7*w - 4*w + 67 = -2*j + 5*j for j.
-4
Solve t - 2*a + 29 = 0, -80 = t + 174*a - 179*a for t.
5
Solve -3*c - 27 = -5397*s + 5393*s, 0 = -5*s + 3*c + 36 for s.
9
Solve p - 3*j = 55, -25*p - 46*p = 2*j - 35 for p.
1
Solve -4*k + 66 = 2*p, 3*k + 69662*p - 69679*p = 31 for k.
16
Solve -9*l = -22*q + 44*q - 17*q - 53, 2*q = -4 for l.
7
Solve -11200*m + 11203*m - 6*k - 2*k + 16 = 0, -4*m + 2*k + 2*k - 8 = 0 for m.
0
Solve 5*y - 20*o = -170, -4*y - 2*o = 54205 - 54123 for y.
-22
Solve 536*m + 5*r + 31 = 540*m, 2*r + 10 = m for m.
4
Solve 3*a = -3, w - 6*a - 8*a - 17 = 19 - 41 for w.
-19
Solve 4*r - 4*m + 204 = 0, -2*m + 42 - 31 = -61*r + 27 for r.
2
Solve -21*w - 4*m = -20*w - 81, 4*w = -6*m + 114 for w.
-3
Solve 854*j + 29 = 850*j + 5*m, 79*j + 2*m = -69 for j.
-1
Solve -211 = -10*b + 3*a, -166*b + 3*a + 2643 = -747 - 253 for b.
22
Solve 0 = 3*q - 5*f - 5, f + 26*f = 4*q + 26*f + 16 for q.
-5
Solve 9*r + 15*p = 5*r + 371, 4*r - 3*r + 3*p - 249 = -7*p for r.
-1
Solve 0*j + j + 1348 = -28*l +
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {b: 5, i: 11}. What is prob of sequence bbib?
11/728
Calculate prob of sequence eee when three letters picked without replacement from eeesa.
1/10
Four letters picked without replacement from wgomoogwm. Give prob of sequence gmgm.
1/756
Two letters picked without replacement from ppccccccc. Give prob of sequence cc.
7/12
Two letters picked without replacement from ttttt. What is prob of sequence tt?
1
Four letters picked without replacement from {v: 1, o: 4, p: 4, z: 6, c: 2}. What is prob of sequence vczo?
1/1190
What is prob of sequence ewe when three letters picked without replacement from {w: 2, e: 3, g: 5, s: 7}?
1/340
Two letters picked without replacement from {g: 1, z: 2, h: 1, k: 1, n: 1, y: 1}. Give prob of sequence zn.
1/21
Four letters picked without replacement from dddxxdx. Give prob of sequence dxdd.
3/35
Four letters picked without replacement from {b: 1, c: 2, u: 5, n: 1}. Give prob of sequence cbuc.
5/1512
What is prob of sequence is when two letters picked without replacement from sbixksix?
1/14
Three letters picked without replacement from {k: 2, x: 1, f: 4, r: 1, d: 1, y: 3}. Give prob of sequence kyd.
1/220
Two letters picked without replacement from vvvsssvvvssv. Give prob of sequence sv.
35/132
Two letters picked without replacement from zeyggizeecceecz. Give prob of sequence yc.
1/70
What is prob of sequence re when two letters picked without replacement from {x: 1, e: 1, g: 1, m: 1, i: 2, r: 1}?
1/42
Two letters picked without replacement from {t: 1, r: 1, d: 1, j: 1, x: 1}. Give prob of sequence rd.
1/20
Calculate prob of sequence xi when two letters picked without replacement from {u: 2, i: 1, x: 3, g: 3, v: 3, r: 4}.
1/80
What is prob of sequence nn when two letters picked without replacement from wwwwwnnwnw?
1/15
Calculate prob of sequence yke when three letters picked without replacement from eyayk.
1/30
Two letters picked without replacement from lnnnd. Give prob of sequence dl.
1/20
What is prob of sequence ki when two letters picked without replacement from kkwui?
1/10
What is prob of sequence wowh when four letters picked without replacement from {o: 1, b: 1, k: 1, w: 2, h: 4}?
1/378
Calculate prob of sequence dp when two letters picked without replacement from {f: 1, d: 2, x: 1, p: 1, j: 2}.
1/21
Two letters picked without replacement from {q: 1, l: 2, h: 5, n: 1, g: 7, k: 1}. What is prob of sequence nq?
1/272
Four letters picked without replacement from {h: 4, i: 10}. What is prob of sequence hhih?
10/1001
Calculate prob of sequence cf when two letters picked without replacement from {f: 1, c: 19}.
1/20
Four letters picked without replacement from {d: 3, o: 5}. Give prob of sequence odod.
1/14
Two letters picked without replacement from dvigd. What is prob of sequence vg?
1/20
Four letters picked without replacement from {z: 5, s: 2, m: 2, a: 8}. What is prob of sequence zaaa?
1/34
Four letters picked without replacement from {q: 1, f: 2, z: 2, x: 2, o: 1}. Give prob of sequence fzoq.
1/420
Three letters picked without replacement from {p: 3, h: 1, s: 3, c: 1, j: 2}. What is prob of sequence pjj?
1/120
What is prob of sequence ln when two letters picked without replacement from {w: 2, n: 1, l: 2, r: 6}?
1/55
Two letters picked without replacement from mddmdzzzdddb. What is prob of sequence bz?
1/44
Two letters picked without replacement from ywwrryroorwwwywro. What is prob of sequence wr?
15/136
Four letters picked without replacement from offfrrffsmfoff. Give prob of sequence omrr.
1/6006
Calculate prob of sequence jv when two letters picked without replacement from rjrmxvmxvxrxxxmmvj.
1/51
What is prob of sequence tbt when three letters picked without replacement from {b: 1, t: 3, r: 11}?
1/455
What is prob of sequence ddo when three letters picked without replacement from {p: 3, o: 6, d: 5, i: 1}?
4/91
What is prob of sequence jj when two letters picked without replacement from jjjjjjjjjj?
1
Three letters picked without replacement from nhhhnnnhnnenh. What is prob of sequence enn?
7/286
Two letters picked without replacement from cmawmacmcwuc. Give prob of sequence mw.
1/22
What is prob of sequence jjz when three letters picked without replacement from {z: 3, j: 13}?
39/280
What is prob of sequence lff when three letters picked without replacement from {l: 7, k: 2, f: 5}?
5/78
Two letters picked without replacement from {g: 1, y: 4, f: 3, a: 2}. What is prob of sequence ya?
4/45
Four letters picked without replacement from {x: 5, f: 13}. What is prob of sequence xfxx?
13/1224
Three letters picked without replacement from jsjsssjjtwjjtwjj. What is prob of sequence wwt?
1/840
Calculate prob of sequence to when two letters picked without replacement from xxxfxmxtxfxxffxexxto.
1/190
What is prob of sequence tbr when three letters picked without replacement from bbybbrtyr?
1/63
Three letters picked without replacement from luuvvvvvvfpfvvhpl. What is prob of sequence fuv?
2/255
What is prob of sequence joop when four letters picked without replacement from jjjjppjojojjpjj?
1/546
What is prob of sequence jhi when three letters picked without replacement from yiejjjhj?
1/84
Three letters picked without replacement from lpppppplll. What is prob of sequence plp?
1/6
What is prob of sequence ollo when four letters picked without replacement from {o: 3, l: 2, f: 6, m: 4, i: 1}?
1/3640
Four letters picked without replacement from ofllool. Give prob of sequence fllo.
3/140
Four letters picked without replacement from {f: 1, i: 1, r: 1, v: 1, d: 1}. What is prob of sequence vrfd?
1/120
Calculate prob of sequence pyyp when four letters picked without replacement from {p: 2, y: 2}.
1/6
Two letters picked without replacement from {d: 1, m: 1, x: 1, p: 1, c: 1}. Give prob of sequence cx.
1/20
Two letters picked without replacement from {v: 2, o: 2, y: 1, w: 2, s: 1}. Give prob of sequence sv.
1/28
Three letters picked without replacement from hhtzzthtt. Give prob of sequence hzz.
1/84
Four letters picked without replacement from zzrrzzzrzzrzzrzz. What is prob of sequence rrzz?
55/1092
Two letters picked without replacement from {m: 4, s: 1, c: 6, x: 3, g: 1, t: 1}. Give prob of sequence gm.
1/60
Three letters picked without replacement from {o: 7, y: 2, t: 9}. What is prob of sequence oto?
21/272
Two letters picked without replacement from {a: 1, i: 2, l: 2, p: 1, t: 2, x: 7}. What is prob of sequence at?
1/105
Two letters picked without replacement from temttqqeqtittqteqeiq. What is prob of sequence eq?
6/95
Three letters picked without replacement from {e: 2, n: 1, r: 9, p: 7}. What is prob of sequence ppe?
14/969
Calculate prob of sequence agga when four letters picked without replacement from gsssssgssassusssssu.
0
Calculate prob of sequence zeez when four letters picked without replacement from ezeezee.
1/21
What is prob of sequence mz when two letters picked without replacement from {n: 1, m: 1, b: 1, z: 1, i: 1, e: 2}?
1/42
Three letters picked without replacement from {k: 1, o: 1, u: 1, m: 1, c: 1}. Give prob of sequence umc.
1/60
Calculate prob of sequence cldh when four letters picked without replacement from hdhlc.
1/60
Calculate prob of sequence uutu when four letters picked without replacement from {t: 7, u: 9}.
21/260
Calculate prob of sequence kk when two letters picked without replacement from tnntknkktntt.
1/22
Calculate prob of sequence tht when three letters picked without replacement from hhttttthhhhhhthththt.
11/95
What is prob of sequence do when two letters picked without replacement from {r: 1, z: 2, o: 1, q: 2, d: 1}?
1/42
Calculate prob of sequence pewe when four letters picked without replacement from epjeepwjeejcee.
1/286
Three letters picked without replacement from zmpmach. What is prob of sequence hza?
1/210
What is prob of sequence jj when two letters picked without replacement from {j: 4, q: 3}?
2/7
Two letters picked without replacement from cnnnnnnnnnnnnnnnncnc. What is prob of sequence nn?
68/95
Two letters picked without replacement from {y: 14, b: 4}. What is prob of sequence by?
28/153
Two letters picked without replacement from eewwafaewwaeaewdaf. Give prob of sequence we.
25/306
What is prob of sequence wkk when three letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
4676, 25086, 39434?
58344
What comes next: 94878, 94883, 94892, 94905, 94922?
94943
What comes next: 1276, 909, 540, 169?
-204
What is the next term in 3447551, 3447553, 3447555, 3447557, 3447559, 3447561?
3447563
What comes next: -362257, -362227, -362177, -362107, -362017, -361907?
-361777
What is the next term in -18842, -76507, -172616, -307169, -480166, -691607?
-941492
What is the next term in 60716, 242576, 545578, 969722, 1515008?
2181436
What is next in 953, 2690, 5901, 10586, 16745, 24378?
33485
What is the next term in -2251853, -2251857, -2251863, -2251871, -2251881, -2251893, -2251907?
-2251923
What is next in -19197670, -19197671, -19197672, -19197673?
-19197674
What comes next: -44, -266, -616, -1076, -1628, -2254, -2936?
-3656
What comes next: -46858, -46830, -46802, -46774?
-46746
What is next in 87725, 175588, 263451, 351314?
439177
What is next in 445969, 893127, 1340281, 1787431, 2234577, 2681719?
3128857
What is the next term in 292285, 584539, 876695, 1168705, 1460521, 1752095?
2043379
What is the next term in 383932, 385929, 389258, 393919?
399912
What is the next term in -24455367, -48910738, -73366109, -97821480?
-122276851
What is next in 57316, 58907, 60498?
62089
What comes next: -89434, -178821, -268208?
-357595
What is next in -17637, -35321, -53061, -70857?
-88709
What comes next: -1251192, -5004779, -11260756, -20019123, -31279880, -45043027?
-61308564
What comes next: 177, 442, 811, 1338, 2077, 3082, 4407, 6106?
8233
What comes next: 1871600, 1871787, 1872100, 1872539?
1873104
What is next in -24319859, -48639688, -72959515, -97279340, -121599163, -145918984, -170238803?
-194558620
What is the next term in 3092, 12346, 27732, 49220, 76780, 110382, 149996, 195592?
247140
What comes next: -98634, -193749, -288864, -383979, -479094?
-574209
What is the next term in 10136, 10614, 11910, 14432, 18588, 24786, 33434, 44940?
59712
What is next in -18905, -48678, -78453, -108230, -138009, -167790, -197573?
-227358
What is next in -5521151, -11042303, -16563455, -22084607, -27605759, -33126911?
-38648063
What is the next term in -1678, 1858, 7750, 15998, 26602?
39562
What is next in -1596, -1666, -1736, -1806, -1876?
-1946
What comes next: -4542398, -9084800, -13627236, -18169724, -22712282, -27254928?
-31797680
What is the next term in 960, 4758, 11396, 20874, 33192, 48350, 66348?
87186
What is next in -1362925, -1363165, -1363403, -1363639, -1363873?
-1364105
What comes next: -257283148, -257283149, -257283160, -257283187, -257283236, -257283313, -257283424?
-257283575
What is next in -4972, -6969, -8962, -10951, -12936, -14917, -16894?
-18867
What is the next term in 29244, 29247, 29250, 29253, 29256?
29259
What is next in -1126386, -2252793, -3379198, -4505601, -5632002?
-6758401
What comes next: 1869623, 1869789, 1869955, 1870121, 1870287?
1870453
What is the next term in -10403, -7006, -1345, 6580, 16769, 29222?
43939
What is next in -35636157, -71272313, -106908471, -142544631, -178180793, -213816957, -249453123?
-285089291
What is the next term in -2112210, -4224416, -6336622?
-8448828
What is next in -129184, -1033236, -3487032, -8265442, -16143336, -27895584, -44297056?
-66122622
What is the next term in 332, -358, -1488, -3046, -5020, -7398, -10168?
-13318
What is next in -2113, -14014, -46337, -109294, -213097, -367958, -584089, -871702?
-1241009
What is the next term in -69119, -138358, -207597, -276836?
-346075
What is the next term in -292462, -292564, -292668, -292774, -292882, -292992?
-293104
What comes next: -1437792, -1437789, -1437786?
-1437783
What is the next term in -2881, -2944, -3043, -3172, -3325?
-3496
What is the next term in -13358, -13326, -13226, -13022, -12678, -12158, -11426, -10446?
-9182
What is the next term in 3095280, 6190586, 9285892, 12381198, 15476504, 18571810?
21667116
What is the next term in -4462, -15538, -33228, -57532, -88450?
-125982
What is the next term in -1654126, -3308163, -4962202, -6616243?
-8270286
What is the next term in -5198522, -20794086, -46786696, -83176352?
-129963054
What is the next term in 554324, 553889, 553454, 553019?
552584
What is the next term in 24127164, 24127156, 24127148, 24127140, 24127132?
24127124
What is next in -149267, -148907, -148547?
-148187
What is next in 2718061, 2718042, 2718023, 2718004, 2717985?
2717966
What is next in -175665, -350796, -525927, -701058, -876189?
-1051320
What is next in 76, 26, -378, -1298, -2896, -5334?
-8774
What is next in -3097, -2784, -2389, -1876, -1209?
-352
What is the next term in -102680, -102707, -102732, -102755, -102776, -102795, -102812?
-102827
What is next in -11241, -22711, -34181, -45651?
-57121
What is next in 2815264, 5630531, 8445798, 11261065, 14076332?
16891599
What is the next term in 1946, 6560, 14250, 25016, 38858?
55776
What comes next: -232, -870, -1962, -3514, -5532?
-8022
What is the next term in -23219, -23436, -23785, -24266, -24879, -25624?
-26501
What is the next term in -6357909, -6357936, -6357963, -6357990, -6358017?
-6358044
What is the next term in 14331, 14816, 15293, 15762, 16223, 16676, 17121?
17558
What is the next term in 39798, 39427, 39056, 38685, 38314?
37943
What is next in 1161, 3469, 7329, 12747, 19729?
28281
What is the next term in 11045347, 11045355, 11045363, 11045371, 11045379?
11045387
What is the next term in -935, -3277, -7169, -12617, -19627, -28205, -38357?
-50089
What comes next: 14023067, 28046135, 42069203?
56092271
What is next in -9741, -19834, -30273, -41058, -52189, -63666, -75489?
-87658
What is the next term in 838, 3339, 7534, 13423?
21006
What comes next: -9386, -75428, -254760, -604028, -1179878, -2038956?
-3237908
What is the next term in -130638, -261307, -392008, -522741, -653506, -784303, -915132?
-1045993
What is the next term in 1336834, 1337712, 1338592, 1339474, 1340358, 1341244, 1342132?
1343022
What is next in -15224, -61196, -137814, -245078, -382988, -551544, -750746?
-980594
What is next in 4481, 10002, 17589, 28274, 43089, 63066, 89237, 122634?
164289
What comes next: 357, 1916, 4471, 7986, 12425, 17752?
23931
What comes next: -935, -3087, -6645, -11609?
-17979
What comes next: 15592, 33218, 50846, 68476, 86108, 103742?
121378
What is next in -4076, -11077, -21006, -33863, -49648, -68361?
-90002
What is next in 504, 2603, 6068, 10899, 17096?
24659
What is the next term in -12550, -27426, -42302, -57178, -72054, -86930?
-101806
What is next in 3154, 24857, 83794, 198583, 387842, 670189, 1064242, 1588619?
2261938
What comes next: -14180, -15495, -16806, -18113?
-19416
What is next in 31367, 31299, 31231, 31163, 31095, 31027?
30959
What is next in 45068, 86263, 127458, 168653?
209848
What is next in 150451, 300776, 451101, 601426, 751751, 902076?
1052401
What is next in -227301408, -227301410, -227301414, -227301420, -227301428, -227301438, -227301450?
-227301464
What is next in 14790, 29848, 44906, 59964?
75022
What is next in 6109, 14475, 25095, 37969, 53097, 70479?
90115
What is the next term in 28127, 56244, 84361?
112478
What comes next: -67010, -133893, -200772, -267647, -334518, -401385?
-468248
What is next in -61289, -61268, -61233, -61184, -61121, -61044?
-60953
What is the next term in 2045, 1631, 947, -1, -1207, -2665, -4369?
-6313
What is the next term in 5977916, 11955839, 17933766, 23911697, 29889632, 35867571, 41845514?
47823461
What is next in -3195519, -3195515, -3195507, -3195495, -3195479, -3195459, -3195435?
-3195407
What is the next term in -2259, 1857, 8719, 18327, 30681, 45781?
63627
What is the next term in -1784, -6567, -14306, -24995, -38628, -55199, -74702, -97131?
-122480
What comes next: 12459, 12676, 12893, 13110, 13327, 13544?
13761
What is the next term in -1680292, -3360564, -5040838, -6721114, -8401392, -10081672, -11761954?
-13442238
What is the next term in -1133, 2016, 7267, 14620?
24075
What is next in -11057394, -11057399, -11057404?
-11057409
What comes next: 262500, 524820, 787140, 1049460, 1311780?
1574100
What comes next: 3283, 25713, 86601, 205177, 400671, 692313?
1099333
What comes next: -243, 90, 965, 2658, 5445, 9602, 15405?
23130
What comes next: 134604407, 269208810, 403813213, 538417616?
673022019
What is next in 1522, 1389, -402, -3851?
-8958
What comes next: 2109, 2025, 19
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{
"pile_set_name": "DM Mathematics"
}
|
second derivative of k(n). Find i, given that o(i) = 0.
0
Let z = -11 + 10. Let b be (z/(-4))/((-15)/(-160)). Factor -8*o**2 + 32/3*o - 16/3 - 1/3*o**4 + b*o**3.
-(o - 2)**4/3
Let d be (3/(27/6))/((-6)/(-18)). Suppose 0 + 0*m + 1/4*m**d = 0. Calculate m.
0
Let c = 34/59 + -52/295. Factor 0*w + 3/5*w**3 + 0 + c*w**2.
w**2*(3*w + 2)/5
Let k(u) be the first derivative of 2*u - 1/2*u**4 - 2/3*u**3 + u**2 + 5. Factor k(n).
-2*(n - 1)*(n + 1)**2
Suppose -2*i = -6*i + 3*j + 5, -2*i = 4*j - 30. Factor 3*f + 2*f**2 - i*f + 4*f - f**2.
f*(f + 2)
Suppose -5*q + 8 + 7 = 0. Let x(a) be the third derivative of -4*a**2 + 1/24*a**6 - 5/24*a**4 + 1/3*a**q + 0*a + 0 - 1/30*a**5. Find y such that x(y) = 0.
-1, 2/5, 1
Let g(u) be the first derivative of -u**8/7560 + u**7/3780 + u**6/1620 - u**5/540 + 2*u**3/3 - 3. Let t(n) be the third derivative of g(n). Factor t(y).
-2*y*(y - 1)**2*(y + 1)/9
Let r(f) be the second derivative of 7*f**8/5760 - f**7/720 - f**6/180 - f**5/180 - f**4/12 + 4*f. Let b(z) be the third derivative of r(z). Solve b(k) = 0.
-2/7, 1
Let c(p) be the third derivative of 0*p + 1/60*p**5 - 1/12*p**4 + 1/6*p**3 - 8*p**2 + 0. Suppose c(b) = 0. What is b?
1
Suppose -3*o = -8*o. Let n(j) be the first derivative of 0*j + 1/2*j**4 + 1 - 2/3*j**3 + o*j**2. Let n(q) = 0. What is q?
0, 1
Let y(o) be the third derivative of -1/16*o**4 - 1/12*o**3 + 0 + 1/30*o**5 - 6*o**2 + 0*o. Let y(q) = 0. Calculate q.
-1/4, 1
Let y = -9 - -11. Factor 0*u + 2/5 - 2/5*u**y.
-2*(u - 1)*(u + 1)/5
Let f = -7/12 + 5/6. Let q(s) be the first derivative of 0*s - 1/8*s**4 - f*s**2 + 2 + 1/3*s**3. Factor q(p).
-p*(p - 1)**2/2
Let m(a) = 5*a**2 - 9*a. Suppose 6*r + 6 = 24. Let n(k) = -26*k**2 + 46*k. Let f(v) = r*n(v) + 16*m(v). Factor f(y).
2*y*(y - 3)
Factor 5/3*d + 1/3*d**2 + 0.
d*(d + 5)/3
Let g be 13/3 + 2/(-6). Let n = g - 2. Determine o so that o**2 + 0*o**n - 3 + 2 = 0.
-1, 1
Let n(z) be the second derivative of z**6/135 - z**5/45 - z**4/18 + 4*z**3/27 + 4*z**2/9 + 5*z. Find b such that n(b) = 0.
-1, 2
Let h(u) be the third derivative of u**7/42 + u**6/24 - u**5/6 - 67*u**2. Factor h(v).
5*v**2*(v - 1)*(v + 2)
Let r = -16 - -18. Factor 2*z**4 + 11*z + 10*z**4 + 11*z**r - 19*z + z**2 + 32*z**3.
4*z*(z + 1)*(z + 2)*(3*z - 1)
Factor t + 3/4 + 1/4*t**2.
(t + 1)*(t + 3)/4
Let p be (-9)/(-15)*(2 + 3). Let r(q) be the second derivative of 0 - 2/21*q**p - 1/7*q**2 + 1/105*q**6 + 1/35*q**5 + q + 0*q**4. Factor r(x).
2*(x - 1)*(x + 1)**3/7
Suppose 2*c = 0, -8 = -3*d - d + 4*c. Find g such that -4*g + 0*g**2 + 0*g**2 + d + 2*g**2 + 0*g = 0.
1
Let h(p) be the second derivative of p**4/24 - p. Determine v so that h(v) = 0.
0
Let l = 1444/15 + -278/3. Factor 27/5*w**3 + 12/5*w**4 + l*w**2 + 0 + 3/5*w.
3*w*(w + 1)**2*(4*w + 1)/5
Let v(w) be the first derivative of 4*w**3/7 + 15*w**2/14 + 3*w/7 + 7. Factor v(y).
3*(y + 1)*(4*y + 1)/7
Let j(b) = 8*b - 7. Let r(a) = -a**2 + 1. Let h(z) = z**2 - 6*z - 6. Let k be h(6). Let s(t) = -2*t + 2. Let v be s(2). Let f(n) = k*r(n) + v*j(n). Factor f(g).
2*(g - 2)*(3*g - 2)
Let t = -187/4 - -47. Let h(k) be the first derivative of -k - 1 + 1/3*k**3 + 1/2*k**2 - t*k**4. Suppose h(n) = 0. What is n?
-1, 1
Solve 0*b + 0*b + 9*b**2 - 6*b - 3*b**3 = 0.
0, 1, 2
Solve 0 + 8/11*u**2 - 2*u = 0 for u.
0, 11/4
Let z(j) be the first derivative of 1 + 0*j + 3/2*j**2 + 10/3*j**3. Let p(x) = 3*x**2 + x. Let h(i) = 14*p(i) - 4*z(i). Factor h(a).
2*a*(a + 1)
Let m be 14*(10/25)/2. Let u = 3 - m. What is p in u*p**3 - 2/5 + p - 4/5*p**2 = 0?
1, 2
Let t(l) be the third derivative of -l**6/1080 + l**4/72 + l**3/2 + l**2. Let w(r) be the first derivative of t(r). Factor w(a).
-(a - 1)*(a + 1)/3
Let g(t) be the first derivative of -4*t**3/3 + 4*t - 1. Factor g(f).
-4*(f - 1)*(f + 1)
Suppose 0 = -3*r + 12, 2*a - 3*r + 1 + 3 = 0. Let o(b) = -2*b**2 + b + 3. Let x(u) = -3*u**2 + 3. Let v(z) = a*x(z) - 3*o(z). Suppose v(j) = 0. What is j?
-1, 1/2
Suppose 0 = t + 2. Let s(z) = -z**3 + z**2 - 1. Let d(h) = 8*h**4 - 10*h**2 + 2*h + 2. Let y(o) = t*s(o) - d(o). Suppose y(m) = 0. What is m?
-1, 0, 1/4, 1
Let b(z) be the first derivative of z**3/2 - 3*z**2 + 9*z/2 + 10. What is q in b(q) = 0?
1, 3
Let j be (-6)/(-4)*(-2)/(-180). Let m(x) be the third derivative of 0 - 1/8*x**4 + 0*x + 1/3*x**3 + j*x**5 + x**2. Let m(i) = 0. What is i?
1, 2
Let b(j) be the third derivative of 0*j**3 - 1/150*j**5 + 0*j + 0*j**4 + 2/525*j**7 + 0 + 3*j**2 - 1/300*j**6. Solve b(y) = 0.
-1/2, 0, 1
Let l(d) be the third derivative of -d**7/70 - d**6/40 + d**5/20 + d**4/8 - 4*d**2. Factor l(o).
-3*o*(o - 1)*(o + 1)**2
Let l(p) be the third derivative of -p**7/630 - p**6/180 - 6*p**2. Find n such that l(n) = 0.
-2, 0
Let k(y) be the first derivative of 1/15*y**5 + 0*y**3 + 0*y**2 + 1 + 0*y + 0*y**4. Factor k(v).
v**4/3
Factor -11*f**2 - 8*f**2 + 15*f**2.
-4*f**2
Let o(r) be the second derivative of -r**7/231 + r**6/33 - 9*r**5/110 + 7*r**4/66 - 2*r**3/33 - 2*r. Factor o(a).
-2*a*(a - 2)*(a - 1)**3/11
Let y(j) = -j**2 - 35*j - 286. Let m be y(-22). Factor -2/13*r**2 + m - 4/13*r + 6/13*r**3.
2*r*(r - 1)*(3*r + 2)/13
Suppose -12*t = -11*t - 6. Factor 2*n**3 + n**3 + t*n**2 + 3*n + 0*n**2.
3*n*(n + 1)**2
Factor 2 - 2*b + 2 + 0 - b**2 - 5.
-(b + 1)**2
Let h(t) = -t**3 + 5*t**2 - 4. Let r be h(4). Suppose -5*c + r + 3 = 0. What is m in -m**2 + 2*m**3 - 1 + 2*m**2 + m - c*m**3 = 0?
-1, 1
Let s(w) = w. Let t(i) = -i**2 + 8*i - 6. Let r(m) = 3*s(m) - t(m). Solve r(l) = 0 for l.
2, 3
Let d = 0 + 0. Factor -i - 2*i + 10*i**2 - 7*i**2 + d*i.
3*i*(i - 1)
Let r(a) be the third derivative of 1/420*a**6 + 0*a - 2*a**2 + 0*a**3 + 0 - 1/84*a**4 + 0*a**5. Find w such that r(w) = 0.
-1, 0, 1
Let f(z) be the third derivative of z**7/70 - 3*z**6/20 + 13*z**5/20 - 3*z**4/2 + 2*z**3 + 41*z**2. Factor f(t).
3*(t - 2)**2*(t - 1)**2
Let h = 21 + -83/4. Suppose 3*n + 15 = -4*p, -3*n - 20 = n. Suppose p + 1/4*v**4 - 1/4*v**2 - 1/4*v**3 + h*v = 0. What is v?
-1, 0, 1
Let s(u) = 4*u**3 + 4*u**2 - 12*u. Let r(l) = 4*l**3 + 4*l**2 - 11*l. Let v(o) = 4*r(o) - 3*s(o). Factor v(t).
4*t*(t - 1)*(t + 2)
Let c(o) = -8*o**2 + o - 2. Let q(x) = 23*x**2 - 2*x + 7. Let j(r) = 8*c(r) + 3*q(r). Let i(m) = -4*m**2 - 2*m - 4. Let b(t) = -6*i(t) - 5*j(t). Factor b(s).
-(s - 1)**2
Let h be (4/6 + -1)*(-1 - 0). Let -o**2 - 1/3*o**4 - o**3 - h*o + 0 = 0. Calculate o.
-1, 0
Let g be 3*(14/4 + -3). Let t = -7/6 - -8/3. Solve 1/2*a**5 + 0 + 0*a + g*a**4 + 1/2*a**2 + t*a**3 = 0 for a.
-1, 0
Suppose 5*v - 17 - 4 = 3*a, -v - 2*a = 1. Let h(n) be the second derivative of 1/2*n**4 - n**2 - 7/6*n**v + 0 + 7/15*n**6 - 2*n + 5/4*n**5. Solve h(k) = 0.
-1, -2/7, 1/2
Let t(p) = p**2. Let b(n) = n**5 - 4*n**3 - 2*n**2 + 3*n - 2. Let q(s) = b(s) + 4*t(s). Factor q(d).
(d - 1)**3*(d + 1)*(d + 2)
Let t(v) be the third derivative of -v**5/45 + v**4/9 + 2*v**3/3 + 14*v**2. Find p, given that t(p) = 0.
-1, 3
Suppose -x = -2*h - 3*x - 4, 0 = 5*h - x - 20. Let a(y) be the first derivative of -2/7*y + 2/21*y**h - 1/14*y**4 + 1/7*y**2 + 1. Let a(o) = 0. Calculate o.
-1, 1
Let j(h) = h - 4. Let u be j(6). Let g(v) be the third derivative of 0 + 0*v**3 + 0*v + 1/240*v**6 - 1/120*v**5 - u*v**2 - 1/24*v**4. Factor g(i).
i*(i - 2)*(i + 1)/2
Let r(y) be the third derivative of y**8/2240 + y**7/280 + y**6/120 - y**4/12 + 5*y**2. Let x(w) be the second derivative of r(w). Factor x(k).
3*k*(k + 1)*(k + 2)
Let x(w) be the third derivative of -w**5/60 + w**3/3 - 6*w**2. Let s(l) = -2 - 2 + 3. Let h(g) = -2*s(g) - x(g). Factor h(o).
o**2
Let 34*n**2 - 4*n**3 + 4*n**5 - 3*n**5 - 34*n**2 = 0. What is n?
-2, 0, 2
Let x be (-64)/(-10) + (-4)/10. Let q = x - 4. Factor 0*r**5 - r - 5*r**2 + 4*r**q + 4*r**5 - 11*r**4 + 9*r**3.
r*(r - 1)**3*(4*r + 1)
Let q be (-12)/(-24) + 2/12. Let 2/9*k**3 + 4/9 - 2/9*k - q*k**2 + 2/9*k**4 = 0. Calculate k.
-2, -1, 1
Suppose j - 3*g - 20 + 3 = 0, -5*j + 5*g = -35. Determine x so that 0 + 3/7*x**j + 3/7*x = 0.
-1, 0
Let o(k) be the first derivative of -7 - 1/8*k**3 + 1/16*k**2 + 3/40*k**5 + 0*k + 1/32*k**4 - 1/24*k**6. Suppose o(g) = 0. Calculate g.
-1, 0, 1/2, 1
Let w(b) = 3*b**2 - 3*b. Let t(u) be the third derivative of 0 - 2*u**2 + 0*u + 1/24*u**4 + 0*u**3 - 1/60*u**5. Let d(z) = -4*t(z) - 2*w(z). Factor d(a).
-2*a*(a - 1)
Factor -119 - 2*z**3 + 12*z**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
*s - 25. Solve -f = 4*u + 6 for u.
-5
Let h(f) be the second derivative of 5*f**4/12 - 3*f. Let x be h(-1). Let k = -3 + x. Solve -d = -k*d + 4 for d.
4
Suppose p - 3*p = -30. Suppose 3*n + 2*n = p. Solve 0 = -n*f + 4*f - 4 for f.
4
Suppose -2*m = -10 - 2. Let q(t) = t**2 - 8*t + 13. Let z be q(7). Solve 3*a = m*a - z for a.
2
Let j be -2*-5*6/12. Solve -l + 7 = j for l.
2
Let q = -9 - -11. Solve g - q*g = 2 for g.
-2
Suppose -2*c + 6 + 24 = 0. Solve 3*r - 3 = -c for r.
-4
Suppose o + 7 - 13 = 0. Solve 10 = f - o*f for f.
-2
Suppose -5*k = -h - 2*k - 5, -5*h + 2*k = -14. Suppose -2 = f - h. Solve 2*d - f = d for d.
2
Suppose -9*w = -7*w. Solve w = -y - 0*y - 5 for y.
-5
Let b(o) = -o**2 - 3*o. Let f be b(-3). Solve 5*v = -f*v - 20 for v.
-4
Let a = 10 - 9. Solve 4*q + a = 17 for q.
4
Let m = 22 - 20. Suppose 2*z = 4*q - 28, 0*q + 2*z + 33 = 5*q. Let w = 11 - 4. Solve -q*d - w = -m for d.
-1
Let x = -4 - 14. Let p be (1/3)/(6/x). Let r be (2 + -2)/(1*p). Solve 5*f - 10 = -r*f for f.
2
Suppose 0 = -2*k - 1 + 3. Suppose 2*b - 77 = -k. Suppose 5*q + 2*r - b = -r, 2*q = -5*r. Solve -p - p = -q for p.
5
Let q be 2/(-2 - -1) + 6. Suppose q = 4*y - 4. Solve 0*t - t = y for t.
-2
Suppose 0 = 4*h + 20, h - 5 + 2 = -4*l. Let k be (4*-5)/(-5) + -2. Suppose k*b + l*b - 8 = 0. Solve -s = -b - 0 for s.
2
Suppose -3 = -y - 2. Suppose 5*t - 104 + 94 = 0. Solve -b - t = y for b.
-3
Suppose 3*q - 5*q + 2*k = -8, -4*k = 3*q + 23. Let i = 4 + q. Solve 2 + i = -5*j for j.
-1
Suppose 3 + 17 = 2*d. Let u = -47 - -51. Solve u*h = 2*h + d for h.
5
Let k = 10 - 11. Let z be (k/(-2))/(3/24). Suppose 2*f = 3*f - z. Solve 0 = -f*c + 6 + 6 for c.
3
Suppose -4*w + g + 21 = 0, -5*w - 2*g + g + 33 = 0. Suppose 3*y + 2*s + 2 = -0, -2*s - w = y. Solve 1 - 9 = -y*r for r.
4
Let u be ((-6)/(-4))/((-3)/(-4)). Suppose -2*p - v = -9, -4*v - 14 = -u*p - 0*v. Solve -4*j + p = j for j.
1
Suppose x - 1 = -5*v, -5*v + 3*x = 2 + 1. Solve -2*k - 6 + v = 0 for k.
-3
Let s(v) = -2*v**2 + 4. Let l be s(0). Solve n = l*n for n.
0
Let i be (0 - -1)*2 - 23. Let u = i - -24. Solve -2*k - 3 - u = 0 for k.
-3
Let y = 3 - 1. Let r be (0 + y)*(0 + 1). Solve 4 = 2*q + r*q for q.
1
Let x(g) = 3*g**2 - 2*g - 2. Let a be x(2). Solve -o = 2*o + a for o.
-2
Suppose 9 + 23 = 4*z. Solve -z*a + 4*a = -12 for a.
3
Let w = -35 + 1. Let f be w/(-9) + (-8)/(-36). Solve h = f*h for h.
0
Let m = -15 + 18. Let v = m - -2. Solve a - v*a + 8 = 0 for a.
2
Suppose 2 = -5*d + c, 3*d - 4*d - 5*c = -10. Solve -2*f + 0 - 2 = d for f.
-1
Let r(i) = -2*i**2 - 20*i - 13. Let a be r(-9). Solve 0*u = a*u for u.
0
Let f = 21 - 6. Solve 2*p = 7*p + f for p.
-3
Let q(y) = y + 2. Suppose 5*t + 4 = 14. Let u be q(t). Suppose 1 = -l + u. Solve -2*b + l*b = 0 for b.
0
Let h = -7 + 10. Let c(v) = 2*v**2 + 3*v - 3. Let w be c(-3). Solve -h*j - 3 = -w*j for j.
1
Suppose -2*q + 2 = 2*a, 0 = -a - 3*a + 4. Solve 9 = -3*d - q for d.
-3
Let o = 6 - 3. Suppose 1 - 3 = -q. Suppose -2*g + g + q = 0. Solve -j = g*j + o for j.
-1
Let j(v) = 8*v + 2. Let x be j(3). Suppose -u + 28 = -5*n, 0*n - 4*n - x = -2*u. Solve -u*k = -2*k for k.
0
Let q = -19 + 19. Suppose 3*d - 2*d = q. Solve -u = -d*u + 5 for u.
-5
Let j = 9 + -6. Solve j = 4*z - 5 for z.
2
Suppose 0 = z - 10 + 2. Let d(t) be the second derivative of t**3/6 + 5*t**2 + t. Let r be d(-7). Solve -z*j = -r*j for j.
0
Suppose -3*v = 5*x - 33, -5*x + 31 = v - 0. Suppose -f + x + 1 = 0. Let r be f - 2 - 2 - -1. Solve r*m + 8 + 8 = 0 for m.
-4
Let q be ((-2)/4)/(2/16). Let v = q - -4. Suppose f - 5*f = v. Solve f*c - c - 4 = 0 for c.
-4
Suppose -m = m - 4. Suppose -4*r = 5*d + 1 + 1, m*d + r - 1 = 0. Solve -g + d = -2*g for g.
-2
Suppose -3*t - r + 15 - 1 = 0, 4*t + 4*r - 32 = 0. Solve -t*p + p = 4 for p.
-2
Let b be (28/10 - -3) + 8/(-10). Solve -4*z + b = 1 for z.
1
Suppose 0 = -4*j + 21 - 1. Solve 6 = -j*i + 2*i for i.
-2
Suppose -7 = -y - s + 2, -2*y - 12 = -4*s. Solve 0 = y*h - 10 + 2 for h.
2
Let j(p) = 10*p**3 + p. Let g(v) = -v**3 + 8*v**2 - 9*v + 7. Let o be g(7). Let l be o/(-9) + (-4)/(-18). Let x be j(l). Solve -x - 9 = -4*d for d.
5
Let j be 0 - (-2)/(-13) - (-6)/39. Solve 3*b + b = j for b.
0
Let x(i) = 2*i + 8. Let p be x(-6). Suppose -2*d - 3*d - 3*a + 92 = 0, 4*d + 3*a - 73 = 0. Let r be (d/(-2))/(2/p). Solve -3*h + 4 = r for h.
-5
Let a(z) = -3*z - 3. Let w(b) = 2*b + 4. Let o(k) = 3*a(k) + 2*w(k). Let f be o(-1). Solve f*x = -x + 10 for x.
2
Let p(k) = -2*k**2 + k. Let y be p(2). Let a be 16/y*6/(-4). Suppose d + 44 = a*x + 6*d, 4*x + d - 60 = 0. Solve -7*h = -3*h - x for h.
4
Let i = 39 - 36. Solve -4*n = -n + i for n.
-1
Let z be (12/7)/((-16)/(-7) - 2). Solve z*i - 5 = i for i.
1
Suppose -5*v + 0*v + 35 = 5*l, -4*v + 19 = l. Solve -6*p = -v*p + 6 for p.
-3
Let x be 1/((-1)/(-3)) + 1. Solve 0 = x*r - 8 - 8 for r.
4
Let a(h) be the third derivative of h**4/6 - 5*h**3/6 + 3*h**2. Let k be a(2). Solve 4 + 2 = k*n for n.
2
Let b be (-1 + 3)/2 + 4. Suppose -5*r + 0*s = -2*s + 6, -4*r + 15 = b*s. Suppose 0 = -r*h + 3*h. Solve n + h = 4 for n.
4
Suppose 4*i - i + q = 43, -i = -2*q - 5. Let s be 2 + i - (2 + 2). Solve -1 - s = 3*a for a.
-4
Suppose 0*j + 3*j = 21. Let w(s) = -j*s**2 + 8*s**2 + 0*s + 2*s. Let q be w(-2). Solve q*b = -5*b - 10 for b.
-2
Let t(d) = -d**2 - 6*d + 1. Let g be t(-5). Let m = -4 + g. Suppose 5*a = -5*v + 25, -10 = -2*v - 0*v. Solve -2*j + m + 6 = a for j.
4
Suppose 5*c + m - 4 = 4*c, 0 = 3*c - m - 16. Solve 0*v = -c*v for v.
0
Let c be -10 + -4 + 10 - (1 - 10). Let o(s) = s**2 - 3*s - 5. Let k be o(5). Solve -c*i = k - 0 for i.
-1
Let g be (3/(-2))/(3/6). Suppose 9 = 2*l + l. Let c be l*3*g/(-9). Solve r = -1 - c for r.
-4
Suppose -2*g - 4*o + 12 = 0, -3*o = 5*g - 2*o - 3. Suppose g = -4*h - h + 25. Solve -16 = -h*w + w for w.
4
Let v be 3*-2*(2 - 3). Suppose 0*i - 5 = -2*l + i, 2*i + v = 3*l. Solve -3*t + l*t - 4 = 0 for t.
4
Let a = -3 - -8. Suppose 0*w = -a*w + 5*m, w + 4*m = 25. Solve -2*v - w = -7*v for v.
1
Let f(t) = 3*t**3 + t**2 - 3*t + 2. Let o be f(1). Solve -16 = -h - o*h for h.
4
Let c = 55 + -53. Solve -c*r = -13 + 3 for r.
5
Let q be (-1 - -1) + 0 + 2. Let i be (q - 0)*(-2 + 6). Solve 5*j - 2 = i for j.
2
Let i = -36 + 39. Solve 2*j - 15 = -i*j for j.
3
Suppose 8*u + 4*u - 240 = 0. Solve -8 = 4*a - u for a.
3
Let i be (-83)/(-12) + (-6)/(-72). Solve -3*t - 16 = -i for t.
-3
Let w(m) = 8*m**2 - 2*m + 1. Let j be w(1). Let c = -18 - -26. Solve 5*b = -j - c for b.
-3
Let n(m) = -2*m**2 + 10*m + 4. Let u be n(5). Solve u*h + 6 = 14 for h.
2
Let v = -34 - -14. Let s = v + 23. Solve 3*c - s = 4*c for c.
-3
Let o(f) = -2*f - 4. Let l be o(0). Let p = 3 + -7. Let z = p - l. Solve 2*h + z*h = 2 for h.
1
Let d be 2 + (2 - 2 - 0). Let j be 1 + (-1)/(-1 - 1/(-2)). Solve 0 = -j*w + d*w - 2 for w.
-2
Suppose 0 = -3*y + 8*y - s - 15, 25 = -5*s. Suppose 23 = 4*w + v + y*v, -13 = -4*w - v. Let h be 0/((0 + -1)*w). Solve -4*k - 1 + 9 = h for k.
2
Let n be 4/(-20) - 361/(-5). Let k be n/12*2/3. Solve -k = -2*d - 2 for d.
1
Suppose 0 = -5*r - 46 - 39. Let n = r + 17. Solve n*a - 5 = a for a.
-5
Let d be 36/10*30/12. Let f = -8 + d. Solve -4*l + 9 = f for l.
2
Suppose -5*v + 28 = 8. Solve 3*g = v*g for g.
0
Let w = 8 - 5. Suppose 0 = 3*o - w*n - 21, -n + 7 = 2*o - 4. Solve v = 4*v + o for v.
-2
Suppose -3 = -3*i + 3. Suppose -3*h = h - 4. Let l = 2 + h. Solve -1 + l = -i*y for y.
-1
Let p(v) = -34*v - 204. Let b be p(-6). Let n be (-1*4)/(-1)*2. Let c = -3 + n. Solve x - c + 3 = b for x.
2
Let d(b) = b. Let x be d(5). Suppose 2*h + x*c = 26, 5*h - 3*c - 3 = -0. Solve 2*g = -h*g for g.
0
Let t be (-10)/(-4) + 1/2. Solve 7*a - t*a = 0 for a.
0
Let a(c) = c**2 - 4*c. Let u be a(5). Let s be ((-1040)/(-64))/((-1)/(-4)). Suppose -5*x - u = -s. Solve -2*m - x = -5*m for m.
4
Suppose -3*k - 8 = 4. Let x(w) = 5*w**2 - 7*w + 3. Let c(h) = h**2 - 2*h + 1. Let q(m) = 9*c(m) - 2*x(m). Let f be q(k). Solve 0 = f*y - y for y.
0
Suppose 0 = 2*y - 7*y + 20. Solve -y*q + 15 = -1 for q.
4
Let i be (1 - (0 - 0)) + 1. Suppose -22*t + 32 + 34 = 0. Solve r - t = i*r for r.
-3
Let l = 3 + -1. Let w be 3 + 6/(-3) + l. Suppose 2*c - i = -w*i + 48, 0 = 3*c + i - 64. Solve c = y - 6*y for y.
-4
Suppose 16 = -3*i - 2*p, 0*p = i - 2*p. Let a(t) = t**2 + 4*t + 2. Let u be a(i). Suppose u = 3
|
{
"pile_set_name": "DM Mathematics"
}
|
e there between 9:57 AM and 6:13 PM?
496
How many minutes are there between 8:50 AM and 10:47 AM?
117
What is 505 minutes after 4:23 AM?
12:48 PM
What is 404 minutes after 10:14 PM?
4:58 AM
How many minutes are there between 12:25 PM and 10:50 PM?
625
How many minutes are there between 1:43 AM and 3:40 AM?
117
What is 646 minutes before 12:40 PM?
1:54 AM
How many minutes are there between 4:38 PM and 3:24 AM?
646
What is 480 minutes before 11:39 AM?
3:39 AM
What is 714 minutes after 7:40 PM?
7:34 AM
What is 293 minutes after 1:17 PM?
6:10 PM
How many minutes are there between 3:06 AM and 3:48 AM?
42
How many minutes are there between 4:19 AM and 3:58 PM?
699
How many minutes are there between 9:16 PM and 9:02 AM?
706
What is 703 minutes before 3:09 AM?
3:26 PM
What is 631 minutes after 10:55 PM?
9:26 AM
What is 386 minutes after 9:46 AM?
4:12 PM
How many minutes are there between 12:22 AM and 1:03 AM?
41
What is 6 minutes before 5:11 PM?
5:05 PM
What is 611 minutes after 9:00 AM?
7:11 PM
How many minutes are there between 3:46 AM and 12:36 PM?
530
What is 559 minutes before 9:45 AM?
12:26 AM
What is 327 minutes after 4:31 PM?
9:58 PM
What is 703 minutes after 7:24 AM?
7:07 PM
What is 419 minutes before 8:55 PM?
1:56 PM
How many minutes are there between 11:41 PM and 7:41 AM?
480
What is 639 minutes before 5:37 PM?
6:58 AM
How many minutes are there between 10:26 AM and 8:44 PM?
618
What is 244 minutes before 5:52 PM?
1:48 PM
What is 110 minutes after 7:47 PM?
9:37 PM
How many minutes are there between 4:39 PM and 10:16 PM?
337
How many minutes are there between 11:18 PM and 4:33 AM?
315
How many minutes are there between 5:58 AM and 9:25 AM?
207
How many minutes are there between 6:40 PM and 5:14 AM?
634
What is 53 minutes after 2:08 AM?
3:01 AM
How many minutes are there between 2:16 PM and 2:25 PM?
9
What is 401 minutes before 1:34 AM?
6:53 PM
What is 376 minutes after 9:28 PM?
3:44 AM
How many minutes are there between 6:56 PM and 5:27 AM?
631
How many minutes are there between 2:49 PM and 5:42 PM?
173
What is 453 minutes after 10:58 AM?
6:31 PM
How many minutes are there between 10:43 AM and 10:28 PM?
705
How many minutes are there between 9:15 AM and 5:28 PM?
493
How many minutes are there between 8:43 AM and 4:21 PM?
458
What is 688 minutes after 1:36 AM?
1:04 PM
How many minutes are there between 12:27 AM and 11:31 AM?
664
How many minutes are there between 1:00 PM and 5:43 PM?
283
What is 359 minutes after 6:50 AM?
12:49 PM
How many minutes are there between 2:29 PM and 9:17 PM?
408
How many minutes are there between 1:32 PM and 8:56 PM?
444
What is 54 minutes after 1:09 PM?
2:03 PM
What is 243 minutes after 8:55 AM?
12:58 PM
How many minutes are there between 8:28 PM and 1:26 AM?
298
What is 667 minutes after 5:43 PM?
4:50 AM
How many minutes are there between 5:14 PM and 9:26 PM?
252
How many minutes are there between 11:19 PM and 7:21 AM?
482
What is 560 minutes before 6:32 PM?
9:12 AM
What is 628 minutes after 9:42 AM?
8:10 PM
What is 386 minutes before 8:02 PM?
1:36 PM
What is 655 minutes after 5:11 PM?
4:06 AM
What is 481 minutes after 5:58 AM?
1:59 PM
How many minutes are there between 6:28 PM and 7:31 PM?
63
How many minutes are there between 5:07 PM and 3:35 AM?
628
How many minutes are there between 3:37 PM and 7:14 PM?
217
How many minutes are there between 9:07 AM and 10:07 AM?
60
What is 60 minutes after 1:49 AM?
2:49 AM
How many minutes are there between 10:21 AM and 8:31 PM?
610
What is 610 minutes after 11:26 PM?
9:36 AM
How many minutes are there between 12:32 AM and 12:11 PM?
699
How many minutes are there between 8:05 PM and 4:13 AM?
488
How many minutes are there between 10:35 AM and 8:40 PM?
605
What is 572 minutes before 8:47 PM?
11:15 AM
How many minutes are there between 5:39 PM and 3:56 AM?
617
What is 386 minutes after 6:47 AM?
1:13 PM
How many minutes are there between 5:32 AM and 10:56 AM?
324
How many minutes are there between 1:28 PM and 10:40 PM?
552
How many minutes are there between 5:12 AM and 12:59 PM?
467
What is 628 minutes before 8:02 AM?
9:34 PM
How many minutes are there between 6:31 AM and 2:23 PM?
472
How many minutes are there between 3:43 PM and 4:39 PM?
56
What is 705 minutes after 12:01 PM?
11:46 PM
How many minutes are there between 9:36 AM and 6:56 PM?
560
How many minutes are there between 10:45 AM and 5:55 PM?
430
How many minutes are there between 2:56 PM and 10:00 PM?
424
How many minutes are there between 12:22 AM and 12:11 PM?
709
How many minutes are there between 2:43 PM and 5:38 PM?
175
How many minutes are there between 8:40 AM and 7:57 PM?
677
What is 692 minutes after 12:12 PM?
11:44 PM
How many minutes are there between 1:59 PM and 8:40 PM?
401
How many minutes are there between 3:00 AM and 8:44 AM?
344
How many minutes are there between 12:14 PM and 1:10 PM?
56
How many minutes are there between 1:59 AM and 9:27 AM?
448
How many minutes are there between 10:03 AM and 8:33 PM?
630
How many minutes are there between 9:52 PM and 2:55 AM?
303
What is 388 minutes after 9:58 PM?
4:26 AM
What is 120 minutes before 1:58 AM?
11:58 PM
What is 665 minutes after 6:19 AM?
5:24 PM
How many minutes are there between 10:28 PM and 4:35 AM?
367
How many minutes are there between 4:44 AM and 11:18 AM?
394
What is 366 minutes after 6:18 AM?
12:24 PM
What is 181 minutes before 8:55 AM?
5:54 AM
How many minutes are there between 8:56 PM and 2:20 AM?
324
How many minutes are there between 4:23 AM and 11:21 AM?
418
What is 91 minutes before 5:03 PM?
3:32 PM
What is 385 minutes before 2:01 AM?
7:36 PM
How many minutes are there between 1:51 AM and 12:22 PM?
631
How many minutes are there between 10:10 AM and 12:34 PM?
144
What is 38 minutes before 3:32 PM?
2:54 PM
How many minutes are there between 11:05 PM and 5:33 AM?
388
What is 430 minutes after 7:47 AM?
2:57 PM
How many minutes are there between 5:32 PM and 6:21 PM?
49
How many minutes are there between 8:46 PM and 4:10 AM?
444
How many minutes are there between 2:46 PM and 10:59 PM?
493
How many minutes are there between 8:19 AM and 3:03 PM?
404
How many minutes are there between 6:41 PM and 10:10 PM?
209
What is 300 minutes after 10:28 PM?
3:28 AM
What is 573 minutes before 5:24 AM?
7:51 PM
How many minutes are there between 9:21 AM and 4:24 PM?
423
How many minutes are there between 5:41 PM and 5:03 AM?
682
How many minutes are there between 11:56 AM and 11:15 PM?
679
What is 491 minutes before 3:43 PM?
7:32 AM
What is 517 minutes after 3:08 AM?
11:45 AM
What is 473 minutes before 6:42 PM?
10:49 AM
What is 89 minutes before 10:42 AM?
9:13 AM
How many minutes are there between 6:06 AM and 6:12 AM?
6
How many minutes are there between 2:12 PM and 2:18 PM?
6
How many minutes are there between 1:39 AM and 12:04 PM?
625
How many minutes are there between 12:08 PM and 1:51 PM?
103
What is 589 minutes after 8:31 PM?
6:20 AM
How many minutes are there between 7:19 AM and 9:48 AM?
149
How many minutes are there between 5:36 PM and 1:24 AM?
468
What is 405 minutes after 2:41 PM?
9:26 PM
What is 532 minutes after 8:58 PM?
5:50 AM
What is 244 minutes after 10:07 PM?
2:11 AM
What is 101 minutes before 1:32 PM?
11:51 AM
How many minutes are there between 1:40 PM and 2:57 PM?
77
How many minutes are there between 5:01 PM and 4:55 AM?
714
What is 332 minutes before 7:13 AM?
1:41 AM
How many minutes are there between 11:14 AM and 12:25 PM?
71
How many minutes are there between 10:00 PM and 5:00 AM?
420
What is 507 minutes after 9:35 AM?
6:02 PM
What is 685 minutes after 8:21 AM?
7:46 PM
What is 10 minutes after 2:39 PM?
2:49 PM
What is 505 minutes before 3:15 AM?
6:50 PM
What is 310 minutes after 12:49 AM?
5:59 AM
How many minutes are there between 3:52 AM and 10:18 AM?
386
How many minutes are there between 6:06 AM and 8:57 AM?
171
What is 611 minutes after 12:22 AM?
10:33 AM
What is 175 minutes after 6:36 AM?
9:31 AM
How many minutes are there between 8:37 AM and 8:39 AM?
2
How many minutes are there between 8:55 AM and 3:41 PM?
406
How many minutes are there between 7:53 PM and 5:40 AM?
587
How many minutes are there between 7:33 AM and 9:40 AM?
127
How many minutes are there between 10:28 PM and 5:37 AM?
429
What is 424 minutes after 1:28 AM?
8:32 A
|
{
"pile_set_name": "DM Mathematics"
}
|
0 - 212*p**2 - 7*p. Let k be u(i). What is k rounded to the nearest 100?
-1800
Let z = 49.7 - 341.7. Let j = 292.57 + z. What is j rounded to the nearest integer?
1
Let y = -17747.6881 + 17749. What is y rounded to one dp?
1.3
Let g = 2935.999993765 - 2936. Round g to 7 decimal places.
-0.0000062
Let z = 20.481427 - 20.493. Round z to five decimal places.
-0.01157
Let m = 16007 + -16007.012323. Round m to 4 decimal places.
-0.0123
Let h = 15179 - 15175.5435. Round h to 1 dp.
3.5
Let a = 132739.48 - 135125. What is a rounded to the nearest ten?
-2390
Let d = 3545912.0371 + -3545729. Let t = d - 165.037047. Let q = t + -18. Round q to five dps.
0.00005
Let x = 18.987 + 1564.413. Round x to the nearest 10.
1580
Let d(s) = 41049*s - 810. Let u be d(-10). Round u to the nearest 10000.
-410000
Let p = 102.68 - 100.6436. Round p to two decimal places.
2.04
Let a(q) = q**3 + 24*q**2 - 323*q + 58. Let j be a(-47). Round j to the nearest one thousand.
-36000
Let b = 46894 + -47451.06. What is b rounded to the nearest 100?
-600
Let l(a) = 61204170*a - 810. Let m be l(-7). What is m rounded to the nearest 1000000?
-428000000
Let j(w) = -3519220*w**2 - 124*w + 664. Let o be j(6). What is o rounded to the nearest 1000000?
-127000000
Let y = 82.879 - -0.121. Let o = y - 30. Let x = o + -47.2. Round x to the nearest integer.
6
Let g = 92.36 + -18.36. Let k = -0.071862 - -73.965862. Let f = g - k. Round f to 2 dps.
0.11
Let b = -345.5832 - -0.4632. Round b to the nearest ten.
-350
Let p = -0.4924243 - -0.49455. Round p to four decimal places.
0.0021
Let c = -10.5498291463 + 489.5498416163. Let b = c + -479. Round b to six dps.
0.000012
Let k = -70804.9968651 + 70805. What is k rounded to four decimal places?
0.0031
Let s = -18442.92 - 578.58. What is s rounded to the nearest 1000?
-19000
Let s = 14.080027 + -14.069. What is s rounded to 4 decimal places?
0.011
Let m = -70633892.0808 - -70677347. Let c = -43411.91919902 + m. Let p = c - 43. What is p rounded to seven decimal places?
0.000001
Suppose -3*h - h - 36 = 0. Let v(m) = -63 + 33 + 272*m + 37 + 71*m. Let g be v(h). What is g rounded to the nearest 100?
-3100
Let n(i) = -63*i**3 + 5*i**2 + 9*i + 2. Let g = 93 + -96. Let h be n(g). Suppose 0 = -3*t - 1 - 2, -4*c + 3*t = h. Round c to the nearest 10.
-430
Let f = -0.27971 - 0.2162. What is f rounded to 2 dps?
-0.5
Let n be 286822/42 + (-38)/399. Suppose u = -4*k - 30361, 0 = 2*k - 3*u + 8348 + n. Round k to the nearest one thousand.
-8000
Let s = 18.44 - 19. Let b = -0.96 - s. Let a = b + 0.39999997. What is a rounded to seven decimal places?
0
Let l = 4031.8875 + -36.2405. Let y = 3986 - l. Let m = y + 9.7. Round m to 2 dps.
0.05
Let f = -9380.9995331 + 9381. Round f to 5 dps.
0.00047
Suppose -19723 = -5*d + 40812. Let x be (-2 + -1)/(-4 + (-118431)/(-29607)). Let b = d + x. Round b to the nearest 1000.
-18000
Let c = 66 + -132. Let j = -66 - c. Suppose -4*o = -4*d + 7884, j*o + 3*o + 5906 = -4*d. What is o rounded to the nearest 100?
-2000
Let z = 143 - 139. Suppose 2*c - z*o - 49360989 = 91439023, 0 = -5*c - 3*o + 351999991. What is c rounded to the nearest one million?
70000000
Let k = -2014 - -1389. Let h = 934 + k. Round h to the nearest one hundred.
300
Let p = -210 - -212. Suppose -j + 4*g + 147992 = 0, 148002 = -p*j + 3*j + g. Round j to the nearest 10000.
150000
Let s(z) be the second derivative of -7*z**5/4 + 29*z**4/12 - 11*z**3/6 - 10*z**2 + 18*z - 1. Let t be s(-20). Round t to the nearest 10000.
290000
Let s = 1832151508.0102 - 1832511825. Let x = s - -360390. Let z = -73 + x. Round z to three decimal places.
0.01
Let c = 126 + -176. Let r = -50.136 - c. What is r rounded to one dp?
-0.1
Let v = 0.0906 - 0.103. Let j = v - -0.053. What is j rounded to 2 dps?
0.04
Let k(b) = 1253334*b + 10. Let x be 10/4*176/40. Suppose 4*h + x = -49. Let c be k(h). What is c rounded to the nearest 1000000?
-19000000
Let k be (-207)/(-36) + (-6)/8. Suppose -3*i + 74 = 4*u - 0*i, 0 = -u - k*i + 10. Let w be (u/(-6))/(2/(-67200)). What is w rounded to the nearest 10000?
110000
Suppose 0 = -6*v + v - 10. Let h(t) = -3*t + 1. Let q be h(v). Suppose q*g = -g + 256. Round g to the nearest ten.
30
Let y = 636797490809 + -636801531637.00319. Let u = y + 4041157. Let c = 329 - u. What is c rounded to four dps?
0.0032
Let r = 4.645 - -3.388. Let i = 2 + 6. Let t = r - i. Round t to two decimal places.
0.03
Let d(b) be the second derivative of -6789*b**5/4 + b**4/4 - b**3/6 - b**2/2 + 17*b. Let a be d(1). Let k = -18644 - a. What is k rounded to the nearest 1000?
15000
Let r = -6388.000057988 - -6388. Round r to six dps.
-0.000058
Let l be 7*9/(-126)*(6 - 33624). Round l to the nearest 1000.
17000
Let u = 370 - 846. Let n = u + 475.426. What is n rounded to one dp?
-0.6
Let b = 179.852 - -0.148. Let i = 10752.12 - 10929. Let g = b + i. Round g to one dp.
3.1
Let l = 9028.08067 + -9028. Round l to three dps.
0.081
Let m = 0.046 + -38.046. Let b = m - 18. Let s = b + 56.0047. What is s rounded to 4 decimal places?
0.0047
Suppose -71*h + 188365800 = -22*h. Round h to the nearest 10000.
3840000
Let y be 2/3*(-36)/8. Let d be (-580 - y)/(-6 + 5). What is d rounded to the nearest 100?
600
Let h = -181 + -17039. What is h rounded to the nearest one hundred?
-17200
Let z = 239.2 - 224. Let j = z + -42.4. What is j rounded to the nearest 10?
-30
Let i be ((-35)/6 + 5)/(1/(-6)). Suppose -365288 + 1675288 = -i*u. Round u to the nearest 100000.
-300000
Suppose -15488437 - 16714563 = 5*p + 3*s, 0 = 9*s - 6*s. Round p to the nearest ten thousand.
-6440000
Let g = 523178 + 603810. Suppose -3*o = -k - g, -o + 822521 + 304475 = -k. Round k to the nearest ten thousand.
-1130000
Let t = 167 - -127. Let d = 293.9999573 - t. What is d rounded to six decimal places?
-0.000043
Let l = -254 + 150. Let y = 103.9655 + l. What is y rounded to three decimal places?
-0.035
Let l = -3815 - -7560. Round l to the nearest one thousand.
4000
Let r = 0.63618 + 0.01712. What is r rounded to 3 decimal places?
0.653
Let s = 11550 + -11550.00013273. Round s to six decimal places.
-0.000133
Let b = 240 + -240.37. Let r = -0.3178 - b. What is r rounded to 2 dps?
0.05
Let n(m) = 456052*m + 888. Let x be n(6). What is x rounded to the nearest one hundred thousand?
2700000
Let m = 9977 + -9981.659. Let y = m + 0.069. Round y to zero decimal places.
-5
Let i = 151253 + -150599.79. Let d = -638 + i. What is d rounded to the nearest 10?
20
Suppose -35*w = 50*w - 23427700000. What is w rounded to the nearest 1000000?
276000000
Let b = -137.7352 - -6728.0052. Let r = b - 6552. What is r rounded to the nearest integer?
38
Let g = 51973 + -52074.221. Let t = 0.221 + g. Let r = t - -100.9999927. Round r to 6 decimal places.
-0.000007
Suppose 0*h + 6*h - 36 = 0. Let n be 9 + 0 - (h + 9/(-3)). Let b be (3/n)/(3/582). Round b to the nearest 10.
100
Suppose g + 52250452 = -2*p, -3*g + 26125233 = 4*p - 5*p. Let f = -43506566 - p. Let n = f + 5481339. Round n to the nearest one million.
-12000000
Let u(b) = -1166665*b + 5. Suppose 4*x - 280 = -52. Let p = 54 - x. Let g be u(p). What is g rounded to the nearest one million?
4000000
Let d = -0.184 + -2.616. Let f = -2.79986 - d. Round f to 4 dps.
0.0001
Let c = 3757814.343 - 3757802.343000095. Let a = -0.2609 + 12.2609. Let p = a - c. What is p rounded to 7 dps?
0.0000001
Let j = -41 - -43. Suppose 4*l - j = 6. Suppose l*u - 2500000 = -3*u. What is u rounded to the nearest 100000?
500000
Let f = 11.19 + -14.6135. What is f rounded to 1 dp?
-3.4
Let q = 190 - 189.936. Let c = 0.06256 - q. What is c rounded to four decimal places?
-0.0014
Suppose 5*i - 410 = -k, -2*i = 4*k + 373 - 2049. Suppose -k*z - 32784 = -424*z. Suppose 0 = -4*j + z - 276. Round j to the nearest one hundred.
2000
Suppose -95160 = 593*i - 588*i. Round i to the nearest 1000.
-19000
Let k = -0.013229278 - -139.013555278. Let r = k - 139. Round r to 5 dps.
0.00033
Let y = 1128.0000038688 - 1128. Round y to 7 dps.
0.0000039
Let u = 486.6 - 583. Let s = -128.1 + 232.1. Let v = u + s. Round v to the nearest integer.
8
Let u(z) = -201*z**3 - 5*z**2 - 3*z - 1. Let h = -69 - -66. Let w be u(h). Round w to the nearest 1000.
5000
Let n = -144229977973441281 + 144229975412079727.00000023. Let h = -2561361450 - n. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + -4 + 2 + 2.
1
(-7 - (-5 - 6)) + -2
2
What is the value of -4 + (-60 + 65 - (-6 - -1))?
6
What is the value of (0 - -4) + -2 + 0?
2
What is the value of -4 - (3 + -5) - (-5 - -1)?
2
Calculate (2 - 3 - -4) + (3 - 1).
5
What is the value of -8 - ((4 - 12) + 16 - 10)?
-6
What is (1 - 0) + (7 - (-17 - -32))?
-7
Calculate (3 - -1 - -1) + (-8 - -2).
-1
What is the value of (8 - 14 - -4) + -3 + 7?
2
What is the value of -7 + 8 + (1 + -2 - -2)?
2
(1 - 1 - -6) + -3 + 6
9
What is the value of 0 - (8 - 2 - 6) - 2?
-2
What is the value of 0 + (-4 - -10 - 9)?
-3
What is the value of -1 + (5 - (0 - -3)) + -4?
-3
Calculate -2 - -4 - (-7 - -5).
4
Calculate -3 + 7 + -7 - 2 - -9.
4
What is 5 - (11 + 2 + -6 + 1)?
-3
What is 8 - 0 - (18 - 15)?
5
What is the value of 3 + (-5 - -1) + -1 + -2?
-4
Evaluate 1 - (-8 + 2 + 2).
5
Calculate 3 + (7 - 5 - 13).
-8
What is -29 + 36 - (-1 + 7)?
1
What is the value of 0 - -7 - (-25 + 7 - -30)?
-5
What is -4 + (-4 - (-7 - -4)) - -7?
2
Calculate (-6 - (-7 - 0) - -3) + -2.
2
What is the value of (-11 - (-17 + 9)) + 9?
6
Calculate -6 - -2 - (-9 - (0 + -3)).
2
What is 1 + (3 - 0) + 10 + -13?
1
What is the value of 5 + -5 + -5 + -4 + 3?
-6
What is the value of 5 + (-3 + -2 - 1)?
-1
What is 27 + -8 - (6 + 6)?
7
What is -7 + 3 + (3 - 6 - -1)?
-6
What is the value of (11 - (-8 + 20)) + 7?
6
What is the value of -5 - -2 - (1 + -10 + 5)?
1
Calculate -5 - (2 + (-2 - (1 - 1))).
-5
What is -7 + (15 - 9) - -2?
1
-6 + 7 + -1 - -2
2
Calculate (-20 + 10 - -15) + (-6 - 0).
-1
Evaluate 1 + -8 + (33 - 34).
-8
Calculate -10 - -8 - (0 - 1).
-1
What is the value of (9 + -11 - -6) + -3?
1
11 + -13 + 12 + -4
6
Evaluate 5 + (-4 + 5 - 2) + -9.
-5
Calculate (3 - 2) + (3 + -5 - 0).
-1
What is 2 + (11 - 7 - 1) - 8?
-3
Calculate 1 - (0 + -4 + 4).
1
What is 0 + -11 + 6 + -1 - -7?
1
What is the value of -10 + 14 + (-2 - 4)?
-2
Calculate -2 + -3 + 0 + (5 - 1).
-1
Evaluate 9 + (1 + -1 - 5) + 0.
4
-2 - -9 - (5 + -5)
7
Calculate -2 - (0 + (-2 - -4)).
-4
What is 3 - (6 + -3 + -1)?
1
Evaluate 6 + -9 + 5 + -1 + -1.
0
Calculate 19 - (19 + 7) - (-1 + -7).
1
What is the value of 99 - 100 - (-5 + 1 + 1)?
2
Evaluate -6 + 3 + (11 - (-1 + 5)).
4
-4 - (-3 - (-6 - 2)) - -3
-6
Evaluate 6 + (-10 - 2 - -12).
6
What is the value of (3 - 4) + (4 + -1 - 5)?
-3
Calculate (-6 - (9 - 5)) + 8.
-2
-7 - -2 - (-4 - -7 - 17)
9
-2 - (4 + -5 + 6 - 6)
-1
What is 1 + 4 - 4 - 1?
0
Evaluate 4 + (1 + 7 - 5 - 5).
2
Calculate 3 + 7 - (3 + -6 + 6).
7
(-8 - -2) + 13 + (5 - 13)
-1
Evaluate 0 - (4 + -2 + 3).
-5
What is 12 + 4 + (-4 - 5) + 0?
7
Calculate -3 + (0 - -2 - -2) + 0.
1
-2 - (0 + -1 + -3)
2
What is -2 - 7 - -4 - (6 + -7)?
-4
What is (7 - 14 - -5) + -4 + 2?
-4
Evaluate 3 + -2 + (9 - (9 - 3)).
4
What is the value of 4 - 11 - -3 - -3 - -4?
3
What is the value of (-43 - -35) + (-1 - -7)?
-2
-3 + 6 + -1 - (69 - 75)
8
-5 + 2 + (0 - (1 + -4))
0
What is -3 - -1 - (-4 - 2 - -3)?
1
Evaluate -5 + 1 - (-12 - (-3 - 9)).
-4
Evaluate 1 + -1 + 1 + 0.
1
What is the value of 0 + 3 + 1 + (1 - 6)?
-1
Evaluate -7 + 1 + 50 + -42.
2
What is the value of -1 - (-1 + -3 + 2) - -2?
3
Calculate (3 - 0 - (3 + 7)) + 2.
-5
Calculate -2 + 1 + 1 - (-13 - -11).
2
Calculate (3 - 6) + 3 - (-1 - 1).
2
What is the value of (1 - 11) + (-7 - -13)?
-4
Evaluate (-5 + 3 - 1) + 3 + 1.
1
What is 1 + 2 - (16 + -18)?
5
What is (-24 - -33) + (2 - 9)?
2
Evaluate (11 - 11) + (4 - -3).
7
Calculate -1 + (5 + -7 - -2).
-1
Calculate -21 + 12 - -12 - 1.
2
What is 0 - (6 - 0) - (2 - 7)?
-1
What is -1 - (1 + -1) - (5 - 5)?
-1
What is 1 + 7 + (88 - 97)?
-1
2 + (-1 - -3) + 1
5
What is the value of (-4 - ((4 - 7) + 0)) + -5?
-6
What is 0 - ((-3 - -6) + -3)?
0
What is -4 + (6 - 2) + 0 - 1?
-1
(10 + -14 - -2) + 1 + 9
8
Evaluate -6 + -16 + 8 - -9.
-5
What is the value of (17 - (-2 + 17)) + (-4 - -1)?
-1
5 + (1 - (5 - 4)) - 5
0
What is -7 - (-19 + (15 - 7) - -1)?
3
What is the value of (-6 - -4) + 2 + -1?
-1
What is the value of 2 + (-3 - -10) - 0?
9
Evaluate 6 + -1 + (0 - (-5 + 5)).
5
What is the value of 0 - (4 - (9 - 9))?
-4
What is (5 - -6 - 2) + 0?
9
Evaluate -7 + (5 - 8 - 1) + 20.
9
What is the value of -2 + 8 + 5 + -13?
-2
-6 - (-10 - 0) - -3
7
What is (-2 - (-5 - -7)) + 5?
1
What is (-5 + 6 - -2) + 1?
4
What is the value of (6 - 1) + -7 + -3 + 0?
-5
What is -11 - (10 + -2 - 14)?
-5
What is the value of 3 - -1 - (5 + -8 - -12)?
-5
Calculate -8 + (9 + -4 - -4).
1
What is the value of -84 - -87 - (-1 + -2)?
6
What is (220 - 213) + 1 + -10?
-2
Calculate (-5 - -3) + (-14 - -27) - 1.
10
What is the value of (4 - -9) + (-27 - -10)?
-4
9 + (3 - (2 - 0) - 4)
6
(-4 - -2) + -2 - -5
1
3 + (-4 - (0 - 4)) - -1
4
What is -2 + 4 + 2 + (4 - 6)?
2
Calculate -1 - 2 - (5 - 4 - 0).
-4
Calculate -1 - 0 - (1 + 2 + -8).
4
Calculate (2 - 10) + 16 - (1 + 2).
5
Calculate (-8 - (-4 + -15)) + -6.
5
Calculate (-3 - 2 - (6 - 16)) + -7.
-2
-2 + (-3 - ((-6 - -1) + -4))
4
What is the value of 0 + (-6 - 2) - -2?
-6
Calculate 0 - ((-6 - -10) + -2 + 0).
-2
What is -4 + 2 - 0 - (-79 + 72)?
5
Calculate 1 + -6 - (9 + (-17 - -2)).
1
2 + -17 + 9 + 1
-5
What is -1 + 2 + (0 - 2)?
-1
What is 2 - (5 - 11 - -1)?
7
What is 4 + 5 + -3 - 1?
5
What is the value of -2 - (3 - (-6 - -18))?
7
What is the value of -3 - (-1 - -7 - (17 + -12))?
-4
Calculate (-4 - -4) + 3 + -5.
-2
What is the value of -10 + (4 - -1) + 5?
0
Calculate -11 + 1 + 1 + (7 - 3).
-5
What is 3 + 0 + 8 + -8?
3
Calculate -3 + (-3 - -1) - -3 - -1.
-1
Evaluate 1 - 10 - (-3 - 2).
-4
What is 13 - 6 - 5 - -4?
6
What is -8 + 6 + (3 - -3 - 2)?
2
Evaluate (-14 - -23) + -4 + 1 - 9.
-3
What is the value of 0 - (2 + 1 - 5 - 1)?
3
(3 - -5) + -1 + (-6 - -2)
3
What is the value of 2 - (1 - -2) - -5?
4
What is the value of -2 + -3 - (9 + -12) - -7?
5
Evaluate 7 - -5 - (7 + 1).
4
-4 + (1 - -4) + -2
-1
(6 - -5) + 3 + -4 + -3
7
Evaluate -2 + (7 - 6 - 4).
-5
-2 + 3 + 3 + -4 - 3
-3
Calculate -3 + 7 + -2 + -3.
-1
Calculate 4 - (2 - -3) - -1.
0
Calculate 0 + 0 - (3 - 0 - 0).
-3
Calculate -2 + 3 - (-10 - -6).
5
Evaluate -3 + (2 - 3 - (11 + -15)).
0
What is the value of -3 - (-2 + -3 + 2 + -3)?
3
-2 + -1 + (12 - (9 + -5))
5
3 + (3 + 3 + -5 - 0)
4
Calculate (-1 - -6 - -5) + -8.
2
What is the value of -4 - (-1 - -2) - -10?
5
What is 6 + 7 + (-7 - 1)?
5
What is -3 + 2 - (5 + (-4 - -3))?
-5
What is the value of 1 + 0 + 0 + 0 + 3?
4
Evaluate -1 + 1 + 1 + 2.
3
Evaluate -2 + 6 - (-1 + 0).
5
What is the value of -10 + 7 + -5 - -4?
-4
Evaluate 1 + 10 - (-5 - -13).
3
What is the value of -4 + (5 + 0 - -1)?
2
Calculate (2 - -21) + (-51 - -37).
9
What is -1 - 10 - -9 - -3?
1
What is -3 - ((-4 - (0 - 4)) + -7)?
4
-5 - (-10 + 1 - -4)
0
Evaluate -1 + 2 + -3 + (-1 - -3).
0
Evaluate -7 - (4 + -5 + -3).
-3
2 + (4 - (-4 - -6) - 3)
1
(-3 - 7) + (9 - 7)
-8
What is -4 - (-4 - -4) - 1?
-5
What is (3 - (3 + 1)) + 5?
4
What is -3 - (-3 + (-5 - -1) + 1)?
3
Calculate 1 - (8 - (4 + 2)).
-1
What is 11 - (11 + -6) - (-7 - -8)?
5
What is the value of 2 + -1 - ((-2 - -4) + 0)?
-1
What is (0 + -1 - -4) + 15 + -21?
-3
Evaluate 10 - 1 - (-34 - -37).
6
Evaluate (3 + 6 - 7) + 1.
3
What is -11 - -4 - (-2 + -1)?
-4
-1 - (2 - (3 + 2 + -3))
-1
What is the value of (4 - ((-4 - -8) + 1)) + 10?
9
8 + (-9 - -1) + (8 - 4)
4
-4 - (1 - 5) - (-8 + 1)
7
What is 6 - (2 + 0 + 2)?
2
(2 - 2 - -1) + -1 + 3
3
What is the value of -5 - (6 - (9 + -5))?
-7
Calculate -2 + 0 + (-4 - -4).
-2
1 + -7 - (-9 + -6 + 13)
-4
Evaluate 1 + -4 + (3 - 0).
0
Calculate (-306 - -304) + (2 + -3 - -2).
-1
What is the value of -1 + 0 + (6 - 4) + -5?
-4
(-5 - (-3 - 1)) + -1
-2
Evaluate (7 - (2 - -4)) + 3.
4
What is the value of -10 + 7 + -4 + -2?
-9
What is the value of -4 - (-3 - (-3 + 3))?
-1
What is -5 - (-2 + 1 - 0)?
-4
What is the value of -8 - 2 - -5 - -10?
5
What is the value of -3 - (0 + 0) - (113 - 108)?
-8
Calculate 10 + 1 - -5 - 10.
6
Evaluate 2 - (-5 + 5 - -3 - 1).
0
-5 - -11 - (13 - 6)
-1
What is the value of (9 + -10 - 3) + 2?
-2
What is 5 + 5 + (-1 - 6)?
3
What is the value of 1 + -5 - (-4 - 1)?
1
What is the value of -5 - -9 - ((5 - 1) + -2)?
2
Evaluate -1 + (10 - 5) - 0.
4
What is (0 - 1) + 4 + 0 + -8?
-5
-3 + (11 - 3) + -3 + 0
2
Evaluate -1 - (7 - (-14 + 7 + 19)).
4
Evaluate 0 + 3 - (-2 + 7 + 3).
-5
What is -7 + -11 + 22 - 14?
-10
What is the value of -2 + (1 - -3) + (-9 - -10)?
3
Evaluate (0 - -3) + (60 - 64).
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) 214 (c) -0.5 (d) -0.2 (e) 5 (f) 3 (g) 0.11
a
Which is the third smallest value? (a) -2/65 (b) -4 (c) -0.4 (d) 1/17 (e) 69/4 (f) -0.73
c
What is the smallest value in -1702, 3/4, 0.1, 14, 1/6?
-1702
What is the fourth smallest value in 1.1, -1, 25785, -2?
25785
Which is the third smallest value? (a) 2/13 (b) -2/13 (c) 3139 (d) -10 (e) 1
a
What is the smallest value in -10018, 1, -7044?
-10018
What is the biggest value in -2, 1/15, -4, 43073?
43073
What is the fourth biggest value in -0.1, -0.5, 1.6612, 0.037?
-0.5
What is the seventh smallest value in 1, -1, 3.6, 9, -1/6, 4, -7?
9
What is the fifth smallest value in 756, -2, -1/7, 2/7, 0.2, 9?
9
Which is the sixth biggest value? (a) 4 (b) 7 (c) 31 (d) -5 (e) -64/5 (f) 5 (g) 0.5
d
Which is the fifth smallest value? (a) 1/6 (b) 2 (c) -127 (d) -10 (e) 5 (f) 4/7 (g) 13
b
Which is the second biggest value? (a) -1/87 (b) -0.04 (c) -0.4
b
Which is the third biggest value? (a) -63812 (b) 17 (c) -0.2
a
Which is the second smallest value? (a) -7 (b) 0.4 (c) -3 (d) 1/9 (e) -0.1 (f) -186
a
What is the third smallest value in -5276, 84, 2, 6?
6
What is the third smallest value in -5/8, 9, 0.01, -2/7, -0.1, -8/79?
-8/79
Which is the smallest value? (a) 4/5 (b) -9264 (c) 0.5 (d) 214/3 (e) -5
b
Which is the third biggest value? (a) 1/7 (b) -94 (c) -1/8 (d) -0.2 (e) -13266 (f) 1/4 (g) 5
a
Which is the fifth biggest value? (a) -12 (b) -0.05 (c) -11 (d) 14/3 (e) 1/4 (f) -1
c
Which is the seventh biggest value? (a) -2 (b) 5 (c) -3 (d) -0.05 (e) 1/2 (f) -37161 (g) -5
f
Which is the biggest value? (a) 2 (b) -2 (c) 486 (d) 2522 (e) -3 (f) 0.1
d
What is the third smallest value in 2, -6/13, -5, -6, 1/185?
-6/13
What is the third biggest value in -3, 1/8, -4/3, 3, 8, -1/128, -0.0917?
1/8
What is the third biggest value in 2, 121, -162478?
-162478
What is the third biggest value in 0.023, -29.29, 2, -1/5?
-1/5
What is the third smallest value in 0.5, 81790, 18?
81790
What is the second smallest value in 201, 12025, -1/7?
201
Which is the third smallest value? (a) -4 (b) -0.049 (c) -0.04 (d) -1 (e) -128
d
What is the biggest value in -5, 0.7, 303, 3, -1, 0.01?
303
Which is the smallest value? (a) 9434 (b) -2/7659 (c) 5
b
Which is the fourth smallest value? (a) 0 (b) 2.29777 (c) -1/3 (d) 4
d
What is the second smallest value in -1/6, -903/62, -7, 3/7?
-7
Which is the third biggest value? (a) 3 (b) 5/13 (c) -1/2 (d) 0.6 (e) 211 (f) -0.2 (g) 2
g
What is the fourth smallest value in 32/5, 7, -1, 0.4, -52/17?
32/5
What is the smallest value in -5, -4, -1235667?
-1235667
Which is the smallest value? (a) -3 (b) 7 (c) 5 (d) -2031.6 (e) 0.3
d
Which is the fourth smallest value? (a) 89 (b) -1.1 (c) 0.4 (d) -806 (e) -72
c
What is the third biggest value in 9, 0.3, 5, -5/6, 10/9, -3/4?
10/9
What is the third biggest value in -1665, 69, 13?
-1665
What is the second biggest value in 601/69, -0.01, 1.487?
1.487
What is the biggest value in 0.4, 5/6, -2/683?
5/6
What is the second smallest value in 5, 6, -380, 580?
5
Which is the third smallest value? (a) -4 (b) 0.34 (c) 7 (d) 60 (e) -0.51 (f) -2/3
e
What is the third biggest value in 12/5, -0.5, 43, -3, 5/23?
5/23
What is the fifth smallest value in 0.11, -0.3, 0.2, 8, 179, 1/7?
8
What is the third biggest value in 2, 1/2, -1/3, 9834, 5?
2
Which is the sixth smallest value? (a) 0.5 (b) 5/3 (c) 0.3 (d) -4 (e) -0.3 (f) 743
f
Which is the biggest value? (a) -4/145981 (b) -2/5 (c) -4
a
What is the second smallest value in -15, -3/2, 52, -7, -4, -5/2, 3?
-7
What is the smallest value in 1/6, -4, -0.4, 186.8, -93.1?
-93.1
Which is the second smallest value? (a) -40 (b) 0.01 (c) 0.065782 (d) -13
d
What is the smallest value in 0.1, -1, 5, 6, -7/3, -2/15, 821?
-7/3
Which is the third biggest value? (a) 2 (b) -2/5 (c) -3/8 (d) 1.74 (e) 0.3 (f) -0.337 (g) -5
e
What is the smallest value in 107251, 1/11, -2/35?
-2/35
Which is the fourth biggest value? (a) -3 (b) 811 (c) 14/367 (d) 4
a
Which is the smallest value? (a) -3/72773 (b) -136 (c) -2
b
Which is the second biggest value? (a) 3 (b) 4 (c) -3/5 (d) 1 (e) -1.378
a
What is the fourth smallest value in -42.7251, -3/4, -0.4, -4?
-0.4
What is the smallest value in 1/150, 2, 102?
1/150
Which is the smallest value? (a) -0.0558 (b) 8925 (c) -1/9
c
Which is the smallest value? (a) 2475/17 (b) 5 (c) -0.15 (d) 0.2 (e) -3
e
Which is the fifth smallest value? (a) -2 (b) 3/2 (c) 10 (d) 2/9 (e) 2/7 (f) 0.13 (g) 53/16
b
What is the seventh smallest value in 0.8, 5, 7, 1, 12, -0.7, -1?
12
What is the biggest value in 260/7, 3/7, 0, -2/7, 388?
388
Which is the third biggest value? (a) -10/3 (b) -542 (c) -45.4
b
Which is the third biggest value? (a) -0.02 (b) -3/2 (c) -13178 (d) 2/11
b
What is the third biggest value in -4, 0.2555, 5, -6, -0.2, -28?
-0.2
Which is the fifth biggest value? (a) -34 (b) 1/3 (c) 3.21 (d) 10 (e) -5
a
Which is the second smallest value? (a) -3.3 (b) 1/2 (c) -14036/7 (d) -0.6
a
Which is the third biggest value? (a) 2/7 (b) -3 (c) 29.10896
b
What is the seventh smallest value in -2.37, -1/4, 0.1, -1/5, -1/28, -0.4, 1/3?
1/3
What is the sixth smallest value in 0, 3/2, -29, -45, 0.6, 0.2?
3/2
What is the second smallest value in 0.1, 5, 1/8, 0.03, -40023?
0.03
Which is the fourth biggest value? (a) 3/2 (b) -2/7 (c) -1595836 (d) -2/59
c
What is the fourth smallest value in 1/5, 14/33, -17, 3, -2, 16?
14/33
What is the smallest value in -3345.1, 2/7, 0.82?
-3345.1
Which is the fourth biggest value? (a) -0.13 (b) 22 (c) 2/79 (d) -12 (e) 1/6 (f) 4/9 (g) 4/5
e
Which is the fifth smallest value? (a) 1/2 (b) 38 (c) 10 (d) -0.3 (e) 0 (f) 34
f
Which is the biggest value? (a) -1.25 (b) 1/4499 (c) -2/7
b
Which is the biggest value? (a) 6.4 (b) 19 (c) -1/5 (d) -23 (e) 0.5
b
Which is the second smallest value? (a) -27 (b) -2 (c) -0.4351 (d) -0.4
b
Which is the smallest value? (a) -4 (b) 110/507 (c) -2/935
a
What is the biggest value in -1563, -0.1, 0.02296?
0.02296
What is the third biggest value in -2/9, -4, 5, -52266/19, 0.5?
-2/9
Which is the biggest value? (a) -1/126 (b) 188 (c) 1/2 (d) -51
b
Which is the fourth smallest value? (a) 0 (b) 3 (c) -2/15 (d) 0.025 (e) -37 (f) -0.06
a
Which is the biggest value? (a) 2/491 (b) 5 (c) -1400
b
What is the second smallest value in 48219, 0.7, -578?
0.7
What is the second smallest value in -0.01, 2243, 0.2, -2, 2?
-0.01
Which is the fourth smallest value? (a) -2/13 (b) 2/23 (c) 2 (d) 1/7 (e) -0.2 (f) 8 (g) 48.861
d
What is the fourth smallest value in 0.34, -4, -0.1, 8/7, -0.096, -2?
-0.096
What is the second biggest value in -5/2, -0.1, -810/13, -4/133, 3?
-4/133
What is the second smallest value in -0.4, -4656.79, 5?
-0.4
Which is the second biggest value? (a) 40/7 (b) -2/45 (c) 24 (d) -0.026 (e) 0.21
a
What is the biggest value in 0.3, 2/3, 3/2, -38, 8.8?
8.8
What is the smallest value in 2/7, -0.0207, -3, -2/5, 48?
-3
What is the second biggest value in -0.3, -0.5, -0.1, -10176, -0.04659?
-0.1
What is the fifth smallest value in 6/11, 0.03, 12, -0.03, -114/5?
12
What is the second biggest value in 0.3, 3, 0.0571, 0.5, 134/11, -1/6?
3
What is the biggest value in -5603/6, -0.3, 6, 17?
17
What is the biggest value in -15263, -87, 0.09?
0.09
Which is the third biggest value? (a) 3847 (b) -2 (c) 2/13 (d) -0.1 (e) -18/29
d
Which is the third smallest value? (a) -5 (b) -0.3 (c) 22.5 (d) 1.75 (e) -2
b
What is the second biggest value in 4, 3.14, -0.1, 40/7, -1/4?
4
Which is the third biggest value? (a) -46721379 (b) 4 (c) -1/2
a
What is the fourth smallest value in -0.3, 0, 3/5, -2/257, -3, 566?
0
Which is the second smallest value? (a) 3/2 (b) -0.5 (c) -0.1771 (d) -2/8257
c
Which is the third biggest value? (a) 2 (b) 2/19 (c) -0.02 (d) -38 (e) -2/7 (f) -0.4 (g) -20.4
c
Which is the third smallest value? (a) 1 (b) -0.04 (c) 0.12 (d) 4 (e) 8/11 (f) 56/3 (g) -0.5
c
What is the fifth smallest value in 10, 590, -3, 0.4, -86/9?
590
What is the smallest value in -2, -18, 63.4, 3, 1, -0.2, 1/4?
-18
Which is the fourth smallest value? (a) 0.3 (b) 0.15
|
{
"pile_set_name": "DM Mathematics"
}
|
at is m(-5)?
-53
Let x(s) = -2*s**2 + 29*s + 273. What is x(-7)?
-28
Let q(b) = b**3 - 21*b**2 + 73*b - 7. What is q(17)?
78
Let h(s) = s**2 + 59*s + 480. Determine h(-49).
-10
Let v(f) = 3*f**3 + 126*f**2 + 447*f - 335. What is v(-38)?
7
Let a(q) = 57*q + 1530. Calculate a(-26).
48
Let d(q) = 5*q**2 - 186*q + 49. Determine d(37).
12
Let b(p) = -p**2 - 5*p - 36. Determine b(-3).
-30
Let y(u) = 11*u - 156. What is y(15)?
9
Let a(b) = 599*b + 6777. What is a(-11)?
188
Let c(v) = -v**3 - 107*v**2 + 221*v + 321. Calculate c(-109).
-6
Let b(c) = -c**2 + 84*c - 1140. Give b(21).
183
Let k(f) = f**3 + 42*f**2 + 118*f + 100. What is k(-39)?
61
Let j(n) = -50*n - 522. What is j(-13)?
128
Let h(c) = -c**3 - 19*c**2 - c - 153. Give h(-19).
-134
Let k(q) = -3*q**2 - 45*q + 232. Calculate k(6).
-146
Let n(h) = 95*h - 395. Calculate n(9).
460
Let q(t) = 28*t + 230. Calculate q(-9).
-22
Let v(a) = 13*a + 715. Give v(-52).
39
Let x(t) = -8*t**3 + 1552*t**2 - 3*t + 585. Determine x(194).
3
Let v(b) = -b**2 - 33*b - 40. What is v(-5)?
100
Let x(p) = p**3 + 82*p**2 + 2*p + 334. Determine x(-82).
170
Let g(d) = 2*d**2 - 31*d - 299. Give g(-9).
142
Let y(q) = -132*q - 1114. Determine y(-8).
-58
Let i(a) = -29*a**2 + 153*a + 446. Calculate i(-3).
-274
Let s(r) = 3014*r - 3009. Give s(1).
5
Let z(h) = -2*h**3 + 28*h**2 + 111*h - 1544. Determine z(14).
10
Let w(q) = 270*q - 18890. Determine w(70).
10
Let l(v) = -4*v**3 - 76*v**2 - 12*v - 235. Determine l(-19).
-7
Let r(f) = f**3 + 18*f**2 + 32*f + 24. Determine r(-14).
360
Let d(i) = i**3 - 8*i**2 + 19*i - 10. What is d(6)?
32
Let r(j) = -j**3 - 28*j**2 - 195*j - 34. Determine r(-11).
54
Let x(k) = k**3 - 38*k**2 + 40*k - 86. Determine x(37).
25
Let f(d) = d**2 + 203*d - 2357. What is f(11)?
-3
Let h(u) = 2*u**2 + 60*u + 225. Give h(-26).
17
Let o(y) = 44931*y + 179717. Give o(-4).
-7
Let t(j) = -j**3 + 6*j**2 + 8*j + 27. Calculate t(8).
-37
Let k(j) = j**3 - 51*j**2 + 78*j - 1419. Give k(50).
-19
Let s(a) = 19*a**2 - 1723*a - 540. Determine s(91).
6
Let u(f) = 3816*f + 22893. Calculate u(-6).
-3
Let s(o) = o**3 + 121*o**2 + 390*o + 18097. Calculate s(-119).
9
Let g(v) = 44*v**2 - 2*v - 5. Give g(0).
-5
Let u(x) = -4*x + 438. Calculate u(31).
314
Let v(m) = -1992*m + 6. Determine v(0).
6
Let c(k) = 22*k**2 - 232*k + 119. Determine c(10).
-1
Let s(v) = 11*v + 286. Give s(-30).
-44
Let f(n) = -4*n**3 + 8*n**2 + n + 2. Give f(2).
4
Let z(o) = o**3 - 10*o**2 - 149*o + 1332. Determine z(8).
12
Let q(y) = -6*y + 32. Determine q(6).
-4
Let n(a) = 22*a - 833. Give n(38).
3
Let s(t) = -7*t - 176. Give s(-43).
125
Let v(n) = -64*n - 2792. What is v(-44)?
24
Let j(n) = n**3 - 180*n**2 + 22*n - 3943. Determine j(180).
17
Let x(b) = 5*b**2 + 23*b + 55. Determine x(-4).
43
Let t(a) = 7*a - 244. What is t(32)?
-20
Let w(x) = -2070*x + 14569. What is w(7)?
79
Let p(k) = -k**3 + 24*k - 24. Determine p(-9).
489
Let y(b) = 13*b**3 + 222*b**2 + 29*b + 205. What is y(-17)?
1
Let w(d) = -d**2 - 27*d + 27. Calculate w(-18).
189
Let t(d) = 2*d**3 - 8*d**2 - 43*d + 24. Determine t(0).
24
Let l(m) = -m**3 - 11*m**2 - 30*m - 40. Calculate l(-8).
8
Let w(q) = -35*q**2 - 920*q - 918. Calculate w(-1).
-33
Let r(q) = q**2 + 10*q + 44. Calculate r(-7).
23
Let k(j) = 69*j + 10360. What is k(-150)?
10
Let z(p) = 258*p**2 - 1286*p + 3. Calculate z(5).
23
Let k(c) = -7*c**3 - 97*c**2 - 4*c + 47. What is k(-14)?
299
Let w(v) = -v**2 - 84*v - 1104. Determine w(-17).
35
Let q(s) = 192*s + 46. Determine q(1).
238
Let n(d) = -d**3 + d**2 + 4*d - 42. What is n(0)?
-42
Let d(v) = -2*v**2 + 30*v + 363. Calculate d(23).
-5
Let j(g) = g**2 - 7*g + 25. Determine j(4).
13
Let r(d) = -d**3 + 23*d**2 - 20*d - 1255. What is r(18)?
5
Let p(g) = g**2 - 38*g - 265. What is p(-7)?
50
Let v(u) = 2*u**3 + 279*u**2 + 131*u - 1103. Calculate v(-139).
9
Let m(o) = -o**2 + 31*o - 426. Calculate m(24).
-258
Let f(d) = -3*d**2 + 202*d + 5. What is f(68)?
-131
Let n(k) = -3*k**2 - 14*k + 17. Give n(-6).
-7
Let w(l) = -14*l**2 - 3897*l - 1398. Determine w(-278).
-8
Let o(n) = 11*n**3 + 56*n**2 + 59*n + 4. What is o(-1)?
-10
Let w(o) = 36*o**2 + 288*o + 13. What is w(-8)?
13
Let k(x) = x**3 + 34*x**2 - 122*x - 1786. Calculate k(-36).
14
Let n(w) = 1025*w - 9227. Give n(9).
-2
Let h(n) = -n**3 + 47*n**2 - 501*n - 586. Calculate h(29).
23
Let n(h) = 3*h**3 + 107*h**2 + 69*h - 23. Give n(-35).
12
Let m(d) = -802*d + 4034. Determine m(5).
24
Let u(p) = p**3 - 26*p**2 + 169*p - 49. What is u(17)?
223
Let j(x) = 11023*x + 132272. Determine j(-12).
-4
Let i(y) = 2*y**2 - 22*y + 40. Give i(7).
-16
Let d(n) = -n**2 + 101*n + 3119. What is d(-25)?
-31
Let m(a) = 7*a - 419. Give m(55).
-34
Let g(m) = -90*m - 588. Determine g(-6).
-48
Let u(r) = -60*r**2 + 597*r + 62. Determine u(10).
32
Let i(a) = -493*a + 381. Give i(1).
-112
Let r(g) = 33*g**2 + 27*g - 34. Calculate r(1).
26
Let g(w) = 16*w**2 - 12*w + 22. Calculate g(2).
62
Let i(y) = y**3 + 103*y**2 - 223*y - 1374. Calculate i(-105).
-9
Let i(l) = 2*l**3 - 34*l**2 - 91*l + 290. Give i(19).
5
Let t(x) = -x**3 - x**2 + 8*x - 4. Calculate t(-3).
-10
Let g(s) = s + 53. What is g(-4)?
49
Let r(v) = -v**3 + 81*v**2 - 168*v + 717. Calculate r(79).
-73
Let x(i) = -i**2 + 36*i - 190. Determine x(32).
-62
Let b(n) = 16*n - 974. Determine b(60).
-14
Let z(f) = 2*f**3 + 9*f**2 + 11*f + 35. Give z(-3).
29
Let o(t) = -2*t**2 + 50*t - 7. What is o(16)?
281
Let o(y) = -4*y**3 - 4*y**2 - y - 3. Give o(2).
-53
Let b(r) = -20*r**2 - 305*r - 25. Determine b(-12).
755
Let y(r) = -2*r**3 - 12*r**2 + 83*r + 487. What is y(-7)?
4
Let j(z) = 12*z - 14. Determine j(-7).
-98
Let j(p) = 4*p**2 - 3*p - 1010. Give j(16).
-34
Let r(f) = 12*f**2 - 204*f + 1038. What is r(5)?
318
Let r(u) = u**2 - 4*u - 5. What is r(2)?
-9
Let w(y) = -27*y + 147. Determine w(8).
-69
Let d(b) = -210*b - 3136. Determine d(-15).
14
Let s(i) = -3*i**2 + 33*i + 83. What is s(-9)?
-457
Let f(x) = 9*x + 360. Give f(-40).
0
Let j(r) = 10*r**2 - 430*r + 17. Give j(43).
17
Let i(u) = -3*u**3 - 157*u**2 - 56*u + 12. What is i(-52)?
220
Let g(r) = -204*r - 1114. Give g(-6).
110
Let i(t) = 7*t**2 - 7*t - 2. What is i(1)?
-2
Let t(m) = 2*m**2 - 18*m - 102. Give t(14).
38
Let f(i) = -i**3 + 2*i**2 - 361*i + 726. What is f(2)?
4
Let k(b) = -18*b**2 - 24*b - 18. Determine k(-1).
-12
Let j(q) = -5*q**2 - 19*q + 4760. Give j(29).
4
Let b(p) = 6*p. Give b(10).
60
Let u(f) = -f**3 - 17*f**2 - f - 72. What is u(-17)?
-55
Let w(i) = -247*i - 2049. Give w(-11).
668
Let s(j) = 16683*j - 16666. What is s(1)?
17
Let a(k) = 21*k + 148. Determine a(-16).
-188
Let h(n) = n**3 - 9*n**2 - 23*n + 158. Calculate h(10).
28
Let f(o) = -191*o + 1116. What is f(6)?
-30
Let b(u) = -244*u**3 + u**2 + 3*u - 4. Give b(1).
-244
Let c(o) = 24*o - 165. Determine c(21).
339
Let d(c) = 392*c - 1386. Determine d(3).
-210
Let d(n) = 17*n - 20. Determine d(3).
31
Let p(n) = n**2 - 32*n + 183. Calculate p(11).
-48
Let r(y) = 20*y + 706. Calculate r(-38).
-54
Let a(r) = 3*r**2 + 94*r + 184. Determine a(-30).
64
Let a(y) = y**3 + 20*y**2 - 74*y + 516. What is a(-24)?
-12
Let o(x) = 7541*x - 7556. Determine o(1).
-15
Let o(n) = 2*n**2 + 15*n - 106. Determine o(-10).
-56
Let l(j) = 31*j - 1686. Determine l(53).
-43
Let v(b) = -24*b**2 - 5*b + 7. Determine v(-3).
-194
Let m(o) = -o**2 - 96*o - 1537. Calculate m(-81).
-322
Let v(r) = r - 102. Calculate v(161).
59
Let t(a) = a**2 + 20*a + 113. Determine t(-12).
17
Let m(p) = -6686*p - 66863. Determine m(-10).
-3
Let n(a) = -a**3 - 101*a**2 - 2340*a - 7. Give n(-65).
-7
Let d(o) = -o**2 - 46*o - 79. What is d(-40)?
161
Let x(s) = s**2 + 10*s - 33. Give x(3).
6
Let q(a) = 74*a + 500. Give q(-6).
56
Let r(u) = u**3 + 9*u**2 + u - 53. Determine r(-6).
49
Let y(n) = n**3 - 20*n**2 + 34*n + 158. Give y(17).
-131
Let c(k) = -7460*k - 134274. Give c(-18).
6
Let z(a) = a**3 - 7*a**2 + 6*a - 179. Determine z(8).
-67
Let c(l) = -137*l + 1592. Determine c(14).
-326
Let h(l) = -83*l - 779. Calculate h(-10).
51
Let b(j) = -j**3 - 72*j**2 - 206*j - 136. What is b(-69)?
-205
Let k(n) = 5*n**2 - 32*n - 157. Give k(11).
96
Let d(r) = -559*r - 1675. What is d(-3)?
2
Let h(j) = -4971*j - 24880. What is h(-5)?
-25
Let y(x) = -151*x - 1060. Determine y(-7).
-3
Let m(v) = 4*v - 59. Give m(-9).
-95
Let j(y) = y**
|
{
"pile_set_name": "DM Mathematics"
}
|
to -2/7 in t, w, -0.4?
-0.4
Let r be (-2)/(-9)*3/2. What is the closest to 1 in 0.3, 5, r?
r
Let f(j) = -j + 4. Let h be f(4). Let d = -0.2 + 0.3. Let i = 138 + -415/3. Which is the nearest to h? (a) i (b) 4 (c) d
c
Let y = -16 + 22. Let h = y + -5.6. What is the closest to 0 in 1/9, -4, h?
1/9
Let l be -3 + ((-36)/14)/(-1). Let p = -5 - -8. Let a = 2 - 2.4. What is the nearest to -1/4 in l, p, a?
a
Let z be (8/(-6))/(2/(-3)). Suppose 0 = -z*t - 3*t + 20. Let w = 2/127 + -389/508. Which is the nearest to -1/4? (a) 1/6 (b) t (c) w
a
Suppose -3*q - 12 = q + 4*v, 0 = -q + 5*v - 9. Let s = 1 - 1.4. Let r = s - -3.4. Which is the closest to q? (a) 0.4 (b) r (c) -5
c
Let i be 24/(-18) + (-2)/3. Let n be i/(-6) + (-2)/24. Let y = -10 + 6. Which is the closest to -2/3? (a) n (b) y (c) 4
a
Let u(k) = 2*k - 12. Let f be u(8). Which is the closest to -2? (a) 0 (b) 2/9 (c) f
a
Let k = 2 + -1.9. Let p = k + 0.3. Let a = p + -0.4. What is the closest to a in 1, -4, 5/6?
5/6
Let u = -0.05 + 0.15. Let f = -4.9 - u. What is the closest to -0.1 in f, 0.1, 3?
0.1
Let l = -5 - 0. Which is the nearest to 1/2? (a) 4 (b) l (c) -2
c
Let u = -6 - -6.4. Let n be (-1)/(-20)*22 + 75/(-50). What is the closest to n in 4, 3, u?
u
Let l = 18 - 69/4. Let p = 0.53 + -0.13. Which is the closest to 2? (a) l (b) -3 (c) p
a
Let d = -45.63 + 47.6. Let u = d + 0.03. Let w = -3 + 2. Which is the nearest to w? (a) 5 (b) 0.3 (c) u
b
Let k = 3.8 + -7.8. Which is the closest to -2/25? (a) 0 (b) k (c) 4
a
Suppose 0*t - 14 = -2*t. Let r = t - 23/3. What is the closest to r in 4, 3, -0.4?
-0.4
Let v = 2 - 2.4. Suppose 0 = -5*p + 10 + 5. Let z be -1 - (0 - (1 + p)). What is the closest to 2/3 in -2/15, v, z?
-2/15
Let w = -0.3 + 0.8. Let q = -0.6 + 1.1. Let s = 0.6 - q. What is the closest to -1 in w, s, -0.1?
-0.1
Let p(s) = 4*s**3 - 2*s**2 + 2*s - 1. Let i be p(1). Let y = -4.03 - -0.03. Let d = -4.1 - y. Which is the closest to 0.1? (a) -3 (b) i (c) d
c
Let n = 29 + -26. Let d = -3/145 - -456/1015. Let r = -5 - 0. Which is the closest to 1? (a) n (b) d (c) r
b
Let n be 31/11 + 10/55. Which is the nearest to -0.1? (a) -0.5 (b) n (c) 4
a
Let j = -5 - -4.6. Which is the closest to 1? (a) j (b) 0.04 (c) 0.5
c
Suppose 4*a = 28 + 4. Let t = -101 - -101. What is the closest to t in a, 5, -0.3?
-0.3
Let s = 41.7 + -42. Let r = -0.02 + 0.42. Which is the nearest to -1/2? (a) 0 (b) r (c) s
c
Let i = 17 + -16.9. Let o = -48 - -338/7. Which is the nearest to 0? (a) o (b) -3 (c) i
c
Let p = 2.57 - 1.57. Let d = 6.3 - 6. Which is the nearest to p? (a) 0 (b) 2/13 (c) d
c
Let s(n) = -n**3 - 6*n**2 + 8*n + 8. Let o be s(-7). Let k = -45 + 134/3. What is the nearest to k in 1/4, 2/5, o?
1/4
Let s = -1 + 2. Let c = 0.06 - -0.54. Let j = c - 0.1. What is the closest to s in 1, 2/5, j?
1
Let p(c) = -c**3 - c. Let n be p(1). Let r(y) = 2*y + 2. Let q be r(n). What is the nearest to q in -2/9, -0.3, -1?
-1
Let q = -12 + 11.7. Which is the closest to 1/4? (a) q (b) -2 (c) -17
a
Let v = 36 + -35. Which is the closest to v? (a) -0.1 (b) 3 (c) 0.3
c
Suppose -2*j + 10 = v, v - 8 = 5*j - 19. Let m = 0 - 3. What is the nearest to 0.1 in 0, v, m?
0
Let c = 2.5 + -3. Suppose 0 = -4*t + 4*f - 68, 0*f + 5*f = -4*t - 23. Let v be t/(-18) - 6/9. What is the nearest to v in -5, c, -3?
c
Let o = -46 + 41. What is the closest to -2/3 in -0.5, o, 2/19?
-0.5
Let k = -27 - -27.5. Which is the closest to 0.2? (a) 0.3 (b) k (c) 4
a
Let n = -5 + 7. Let m be (n/(-10))/(12/10). Which is the closest to 0? (a) -3/7 (b) 0.5 (c) m
c
Let s = -52 + 56. Let g = -0.1 - -0.2. Let t = 0 - g. Which is the closest to 0? (a) s (b) 2 (c) t
c
Let i = 43/3 + -187/12. Let w = -2089/6 - -21553/62. Let y = 4/31 - w. Which is the closest to -1? (a) i (b) y (c) -0.4
a
Let l = 0.06 - -0.14. Let d = 0.9 - 1. What is the nearest to 1/3 in 0, d, l?
l
Let x(q) = -3*q - 12. Let w(r) = r + 4. Let s(t) = 11*w(t) + 4*x(t). Let n be s(-7). Let l = 1.8 - 2. Which is the closest to 0.1? (a) 0 (b) n (c) l
a
Let s = -44 - -131/3. Let q be (-10)/15 - 8/(-30). Which is the nearest to s? (a) 3 (b) q (c) 1/3
b
Let f = -0.1 - 0.1. Let p = 0.18 - 0.13. Let t = p + 1.95. Which is the nearest to 0.3? (a) f (b) t (c) -0.4
a
Let r = 74.7 - 75. Let c = 0.8 + -0.5. Let b = c + -0.8. What is the nearest to 0 in r, b, 0.4?
r
Let i = -4.3 - -2.3. What is the closest to 1/3 in 0.4, i, -0.6?
0.4
Let n be (4/(-3))/((-50)/15). Which is the closest to -3? (a) 3 (b) -0.3 (c) n
b
Let t be -5 + 4 + 148/(-2). Let d be (-2)/(-6) - (-19)/t. Which is the nearest to 3/5? (a) -0.1 (b) d (c) 4
b
Let p = -0.9 + -0.1. Let s = p + 1.2. Which is the closest to -1? (a) -4 (b) s (c) 3
b
Let s = 21 - 21.2. Which is the nearest to 0.2? (a) -5 (b) -2 (c) s
c
Let s = -23/3 + 8. Let k = 201 + -3017/15. Let l = -43 - -212/5. What is the nearest to s in -0.1, k, l?
-0.1
Let q = 2.3 - -0.7. Let j be 6/525*5/3. Let f = j + 311/210. Which is the nearest to -2/3? (a) q (b) f (c) -3
b
Let t = -42 - -46. What is the nearest to -4 in 2, t, -1?
-1
Suppose -5*s = 2 - 22. Let k = 32 + -35. Which is the nearest to k? (a) 0.3 (b) s (c) -4
c
Let l = -4 - -7. What is the nearest to -4 in l, -3, 0.5?
-3
Suppose -x - 6 = 5*h + x, -2*x + 12 = -4*h. Which is the nearest to h? (a) 5 (b) -5 (c) -1
c
Let m = -19.1 - -18. Let p = m + 5.6. Let o = p - 5. What is the closest to 1 in -2, o, 3?
o
Suppose 5*g + 5 = -2*s, 2*s - 1 = -0*s + g. What is the closest to s in 5, 0.2, -1?
0.2
Let k = 51 + -51. Which is the closest to -1/2? (a) k (b) -4 (c) -5
a
Let i = -166 - -166.1. What is the closest to i in -3/7, -2.5, 2?
-3/7
Let t be (-4)/(-14) + 120/(-910). Let h = -1.9 + 2. Let v = 0.1 - h. Which is the closest to v? (a) -3/4 (b) t (c) 0
c
Let b = -98 - -98.1. What is the closest to b in -0.32, 4, 0.1?
0.1
Let p = -4 + 10. Let x = p + -7. Which is the closest to x? (a) 4/5 (b) -0.1 (c) 1
b
Let w(x) = x**2 + 2*x + 1. Let k be w(-3). Let y = -41/3 - -13. Let f = -5 - -3. Which is the closest to y? (a) 0 (b) k (c) f
a
Suppose 4*x - 4*l = -0*x - 12, -2*l - 18 = 2*x. Let c be (5/(-15))/((-2)/x). Let h be 3/(1*(-2)/c). What is the closest to -1 in 0.5, h, -0.5?
-0.5
Let r = -0.14 - 0.66. Let f = -0.5 - r. Which is the nearest to f? (a) 0 (b) -4/7 (c) -0.2
a
Let y = -0.1 - 0.4. Let j = 28.9 + -29. Which is the closest to j? (a) y (b) 2 (c) 3
a
Let j = 3 - 2.5. Suppose 3*v - 1 - 2 = 0. Let d = 1.5 - 1.2. What is the nearest to v in j, d, -3?
j
Let n = -349 + 354. Let o = -1 - 1. Which is the nearest to -0.1? (a) 0.07 (b) o (c) n
a
Let v(a) = -5*a - 2. Let z be v(-5). Suppose -3*j + 4*o = -z, o = -j - 4 - 0. Let p = 28 + -59/2. What is the closest to j in 2, p, 2/3?
2/3
Let j = -108 - -107.5. Let i = -2 - -2. Which is the closest to i? (a) 2 (b) j (c) 2/3
b
Let h = 14 + -14. Which is the closest to h? (a) 2/7 (b) 0 (c) 3
b
Let v = -178 + 182. Let s = 1 + 5. What is the nearest to s in v, -1, 1?
v
Let q be 1/(-30)*(5 + -1). Suppose 3*m + 10 = 3*c + 1, -5*m + 2*c - 3 = 0. Let k be (m/6)/(1 - 0). What is the closest to -1/4 in 0, k, q?
q
Let n = -46.1 + 46. Let f = -1146/5 + 230. What is the closest to n in 2/7, f, -3?
2/7
Suppose -o = 5 - 6. Let i be (-2 + 5)*(-124)/6. Let n = 184/3 + i. What is the nearest to o in n, 5, 4/5?
4/5
Suppose 2*i = -10, -27 + 77 = -5*n - 5*i. Let o = -1.5 - -2. Which is the nearest to 0? (a) o (b) 2/9 (c) n
b
Let f be (1*2)/(-16 - -3). Let j = 2.2 - 0.2. Let r = -127/6 + 21. What is the closest to j in r, 0, f?
0
Suppose 7*n - 3*n = l + 6, l = 2*n - 4. Let r be -3*(0 + n) + 27. Let j be (3/r)/(2/12). What is the closest to -2 in j, -1/3, 1?
-1/3
Suppose 3*c - 6 = 6*c. What is the closest to 0.5 in -0.1, c, 2/13?
2/13
Let b = 0 + -0.2. Let n be (-4 + 3)/((-2)/(-4)). Let s = -7 - n. What is the nearest to -1/3 in 0.3, s, b?
b
Let o = 38.7 - 39. Let y = 7 - 6.5. Which is the closest to 0? (a) y (b) 4 (c) o
c
Let s(v) = -v**2 - 20*v + 25. Let g be s(-21). What is the closest to -2 in -4/5, g, -0.2?
-4/5
Let h = -5 + 2. Let p be (2/12)/((-8)/18). Let s = -102 - -512/5. Which is the closest to s? (a) -2/11 (b) h (c) p
a
Let x = -0.11 - -0.21. Let l be ((-2)/(-10))/((-6)/(-10)). Which is the
|
{
"pile_set_name": "DM Mathematics"
}
|
y and give x.
-2
Express -368*i + 368*i + 2*i**2 - 23 + (0*i - 4*i + 3*i)*(2*i - 4*i - i) as n*i + b*i**2 + x and give b.
5
Rearrange (0 - 2 + 3*d**2 + 4)*(-d + d - 6*d)*(-4 + 6 + 5) to the form q + f*d**3 + x*d + y*d**2 and give x.
-84
Rearrange (0*z + z - 3*z)*(2 + 4 - 4) + (19789 - 19789 + 92*z)*(-4 - 2 + 5) to x + k*z and give k.
-96
Rearrange 2*x**3 + 2*x**4 + 6798*x - 5*x**3 - 6795*x - 1 - 1 + 6 to m*x**4 + j*x**2 + g*x + n*x**3 + p and give m.
2
Rearrange -179*r**2 - 60*r**2 + 21*r**2 to w*r**2 + p*r + u and give w.
-218
Rearrange -69*a**4 - 29 - 7*a**3 + 70*a**4 + a + 7*a**3 to the form v*a**2 + r + j*a**4 + h*a**3 + c*a and give r.
-29
Rearrange 10*i + 8*i - 7 - 14*i - 30 to the form v*i + j and give v.
4
Rearrange -66 - 3*x**4 - 7*x - 2*x**3 + 11*x + 0*x**4 + 2*x**2 + 68 to f*x**2 + a + b*x**3 + k*x + z*x**4 and give z.
-3
Rearrange w**4 - 7*w**3 + 20*w + 26*w - 11 + 31*w + 2*w**3 + w**2 - 78*w to the form f*w**4 + p*w**2 + y*w**3 + n + c*w and give f.
1
Express 10*m - 889 + 446 + 38*m**2 + 443 in the form t*m**2 + y*m + u and give u.
0
Express 37*u + 23*u - 149*u - 44*u - 116*u as h + i*u and give i.
-249
Express -2*x**2 + 0*x**2 - x**2 + (24*x + 8*x + 10*x)*(-2*x - x + 2*x) + 3 + 4 + x**2 + 3 as b + v*x + a*x**2 and give b.
10
Express (-24*y - 17*y + 38*y)*(4*y + 5*y - 3*y - 4*y) in the form c*y + a*y**2 + o and give a.
-6
Express -19*h + 17 - 17 + (2*h - 3*h + 0*h)*(-4 + 0 + 0) - 12 + 8*h + 0 - 6*h in the form w*h + z and give z.
-12
Express -p - p + 4*p**2 - 2*p + (5*p - 2*p - 2*p)*(3*p - 2*p + 0*p) + (8*p**2 + p**2 - 4*p**2)*(-1 - 3 + 2) in the form c*p + i + o*p**2 and give o.
-5
Express (18 - 23*x + 19 - 38)*(-1 - 3 - 4)*(-5 + 2 + 2) as v*x + t and give v.
-184
Express (-3 + 3 + 2)*(-76*c + 140*c - 82*c)*(5 - 1 - 1) in the form h + x*c and give x.
-108
Express -7*m**2 + 26*m + 6*m**2 - 52*m + (m**2 - 4*m + 4*m)*(6 - 1 - 4) + m**2 - 2*m**2 - 2*m**2 + 0*m**2 - 3*m**2 + 2*m**2 as s*m + t + h*m**2 and give t.
0
Rearrange 1 - 1751*c + 1 + 1769*c - 4*c**2 to u*c + n + f*c**2 and give n.
2
Express -3*d**4 + 3*d**4 - 80*d**2 - 2*d**4 + 81*d**2 + 5 in the form u*d**4 + o + l*d**2 + j*d + x*d**3 and give u.
-2
Express 2 + 38*g**2 - 2 - 16*g**2 in the form p*g + x*g**2 + i and give x.
22
Rearrange -64*g**2 - 196 - 56*g**2 + 196 to d*g**2 + j*g + y and give d.
-120
Express (-20 + 6 - 24)*(0*k - k - k) + 13*k - 10*k - 10*k in the form t + l*k and give l.
69
Express -380*g - 1701*g - 1375*g - 207*g - 4 + 2*g + 4 + (2 - 2 - 1)*(-4*g + 0*g + 3*g) + 1 - 1 + g in the form t + h*g and give h.
-3659
Rearrange 8*i - 80*i**2 + 661*i**2 - 8*i to the form v*i + z + g*i**2 and give z.
0
Express 1 - 1 - 4*c**3 + (c**2 + 1 - 1)*(c + 0*c - 3*c) + (3 - 2*c**2 - 3)*(17*c + 2*c + 14*c) as s*c + w*c**3 + l + x*c**2 and give w.
-72
Rearrange (-4 - 3 + 6)*(-15*z**4 + 11*z**4 - 45*z**4) - 4*z**4 + 4*z**4 + 3*z**4 to the form j*z**2 + m*z**3 + a*z + y + d*z**4 and give d.
52
Express 11*k**2 + 14*k**2 + 9*k**3 - 27*k**2 + 2*k + 2*k**4 + 3 as w*k + s + t*k**2 + v*k**3 + m*k**4 and give m.
2
Rearrange (-3*h - 2*h + 2*h)*(42*h - 448*h - 74*h - 20*h) to the form p*h**2 + x*h + g and give p.
1500
Rearrange (4*o + 3*o + o)*(-3*o + 5*o + 0*o) + (4 - 12 + 6)*(-o**2 - o + o) - 4*o**2 + 3*o**2 + 2*o**2 to z + i*o**2 + v*o and give i.
19
Rearrange -7119*f - 547*f**2 + 7119*f to w*f**2 + q + u*f and give w.
-547
Rearrange 35 - 15323*z + 2*z**3 + 19 + 15331*z to the form t + m*z**2 + p*z + h*z**3 and give t.
54
Express 119*r - 45*r - 12*r + (2 - 4 + 4)*(2 - r - 2) as y + x*r and give x.
60
Rearrange -391*j - 7*j**2 + 25*j**3 + 391*j + 0*j**2 to the form t*j**3 + b*j + s*j**2 + f and give t.
25
Express 72*o**3 + o**4 - 72*o**3 + o**4 + 4*o**4 - 3*o**4 + (2 - 2 + 1)*(-o**4 - 9*o**4 + 18*o**4) in the form p + b*o**3 + a*o**2 + h*o**4 + v*o and give h.
11
Express j**2 + 3*j**2 - 3*j**2 + (1 - 2*j - 1)*(-j + 3 - 3) + 24*j**2 - 7*j - 31*j**2 + 0*j in the form p*j**2 + g*j + k and give k.
0
Express (-3 + 3 - o)*(-12*o**3 + 36*o**3 - 18*o**3) + 0*o**3 - 4*o**4 + 128 + 2*o**3 - 127 in the form p + g*o**4 + q*o**2 + h*o + c*o**3 and give p.
1
Rearrange -104*o - 374*o - 571*o to x + l*o and give l.
-1049
Express (0 + 1 + 1)*(31*x + 56*x**2 - 31*x) in the form h + f*x**2 + d*x and give f.
112
Express 299*f**2 + 60*f**2 + 85*f**2 as b*f**2 + u + c*f and give b.
444
Rearrange (3 - 3 + m)*((-4 + 1 + 2)*(2 - 3 + 0) - 1 + 4 - 2 + (3 + 3 - 7)*(-1 - 1 + 0) + 329 + 171 + 23) + m + 2 - 2 to r + d*m and give d.
528
Express 2*p**3 - 5*p**3 + 2*p**3 + (103*p - 77*p - 98*p)*(-3*p**2 + p**2 + p**2) + (3*p + 3*p - p)*(0*p + 0*p - 2*p**2) as c + k*p**3 + z*p + v*p**2 and give c.
0
Rearrange (-4*j + 5*j + 3*j)*(1295*j**2 - 1295*j**2 + 2*j**3 + 4) to o*j**2 + q + y*j**3 + b*j + h*j**4 and give b.
16
Rearrange (-660 + 0*g + 665 + 3*g)*(2 - 2 - 3*g**3) to the form v*g + b*g**4 + c + l*g**2 + z*g**3 and give v.
0
Express (-s - 4*s + 9*s)*(0 + 0 - s) - 4*s**2 + 3*s**2 + 2*s**2 as d + y*s**2 + t*s and give y.
-3
Rearrange 2 - f + 0*f + 2*f - f**3 + 6*f**2 - f**2 to the form x*f + s*f**2 + v + k*f**3 and give k.
-1
Express -38 + d**3 - 2*d**3 + 62 - d**3 + 6*d**3 in the form g*d**2 + w + k*d**3 + r*d and give w.
24
Rearrange (-260 + 14 - 18)*(-1 - 2*b + 4*b + b) to c*b + r and give c.
-792
Rearrange (3*b + 0*b - b)*(-4 - 12341*b + 12347*b + 3*b**2 + 5 + 2*b**3) to o + c*b + f*b**2 + s*b**3 + n*b**4 and give s.
6
Rearrange -27*v**4 + 7*v**2 + 20*v**4 + 47*v - 49*v to c*v + u*v**4 + p + j*v**2 + i*v**3 and give c.
-2
Rearrange 174*m**4 - 79*m**4 - 107*m**4 + 2*m**2 + 3 - 3*m**3 to s*m**3 + g*m + x*m**2 + z + c*m**4 and give g.
0
Express 12*j + 3*j**2 - 6 - 12*j - 4*j - 4*j**2 as p*j**2 + u + i*j and give u.
-6
Rearrange 10 - w**3 + 31*w**2 - 33*w**2 + 0*w**3 + 0*w**3 to the form m + k*w**2 + i*w + z*w**3 and give k.
-2
Rearrange 186 - 9*p - 40*p + 47*p to the form c*p + j and give j.
186
Rearrange 406*o + 1 - 5*o**2 - 751*o + 372*o - 3*o**3 + (0 - 2*o + 0)*(-2*o + o**2 + 2*o) to n*o + i + z*o**3 + k*o**2 and give z.
-5
Express (-s**2 + 0*s**2 + 3*s**2)*(4 - 1 - 2) + 4*s**2 + 47*s**2 - 19*s**2 in the form f + x*s**2 + a*s and give x.
34
Rearrange (-7 - 28*h - 30*h + 62*h)*(-1 - h**2 + 1) to o*h**2 + j*h + f + m*h**3 and give m.
-4
Express (173*c - 9*c + 146*c - 146*c)*(2 + 3 - 2) as k*c + f and give k.
492
Rearrange -y**2 - 2185*y**3 - 2035*y**3 + 4066*y**3 to r + s*y + w*y**2 + n*y**3 and give w.
-1
Rearrange (-13*x - 6*x - 45*x)*(-1 + 0 + 0)*(0 + 2 - 5) to the form i*x + c and give i.
-192
Express (0 + 2*q + 0)*(32452 - 350*q - 32453 - 328*q) in the form w*q + s + j*q**2 and give w.
-2
Express (-1 + 6 + 0)*(-1 + 39*z - 57*z - 1) in the form f*z + l and give f.
-90
Rearrange -32 - 77 + 25 - 2*h - 54 to the form n + y*h and give y.
-2
Express -68*y + 51*y - 330*y as g*y + j and give g.
-347
Express (6843 + 34*f - 6843)*(1 + 2 - 2) as q + x*f and give x.
34
Rearrange 0*j**2 + 29*j**3 - j**2 - 28*j**3 + 55 + 1 - 2*j**2 to the form h + k*j**2 + v*j**3 + z*j and give v.
1
Rearrange (-g**2 - 1 - 1 - 3*g**2)*(3*g**2 - 10188*g + 10188*g) to p*g**3 + y*g + s*g**2 + b*g**4 + r and give s.
-6
Rearrange -i + 12*i - 30*i**2 + 31*i**2 - 4 + 2 + 5 to f*i**2 + l + p*i and give p.
11
Rearrange 2*r - 113*r**2 - 1 - 5*r**4 + 4*r**4 + 118*r**2 to i*r + p*r**4 + c*r**2 + s + q*r**3 and give i.
2
Rearrange -2*c**2 + 36*c**3 + 35*c**3 + 21*c**3 - 88*c**3 - 4*c + 4*c**4 to the form r + p*c**2 + t*c**3 + y*c + m*c**4 and give t.
4
Rearrange (145*j + 45*j - 103*j)*(-3 - 13*j + 21*j - 12*j) to the form o + c*j**2 + w*j and give c.
-348
Express -91 - 24 + 210 - 24 - 3*z in the form r + t*z and give t.
-3
Rearrange -5*w**4 - w + 491*w**3 + 3*w**4 - 490*w**3 + 1 to k*w + h*w**2 + i*w**3 + b*w**4 + m and give b.
-2
Express 13*l**3 - 7*l**3 - l**3 - 7*l**3 - 2*l**4 - 80*l - l**2 + 10*l in the form g*l**3 + y*l**2 + o*l + b*l**4 + p and give y.
-1
Rearrange u**2 + u**2 - 4*u + 0*u**2 + (-2*u**2 + u - u)*(0 + 0 - 1) - 4*u**2 - 19*u**2 - 10*u**2 to the form p*u + l + k*u**2 and give p.
-4
Rearrange 6212*a**3 - 3100*a**3 - 3099*a**3 - 57*a**2 to the form b*a**2 + q*a**3 + d + w*a and give b.
-57
Rearrange (104*q - 50*q - 51*q)*((-6 + 5 + 5)*(-2*q + 3 - 3) + 2 - 3 + q - 2*q) to the form o + s*q + a*q**2 and give s.
-3
Express -79*t**2 + 78*t**2
|
{
"pile_set_name": "DM Mathematics"
}
|
ob of sequence cl?
2/55
Two letters picked without replacement from fxffffxbxfbffx. Give prob of sequence ff.
4/13
Two letters picked without replacement from {i: 4, t: 4, n: 3, s: 3, j: 5}. What is prob of sequence ji?
10/171
Three letters picked without replacement from hghxohihgomxxihoxh. What is prob of sequence igo?
1/408
What is prob of sequence mzrr when four letters picked without replacement from mmrjmrmmrzr?
1/132
Three letters picked without replacement from mjccjnlgg. What is prob of sequence clm?
1/252
Four letters picked without replacement from {y: 1, u: 1, j: 1, i: 1, a: 1, d: 2}. What is prob of sequence yddi?
1/420
Calculate prob of sequence dvvv when four letters picked without replacement from {d: 2, v: 7}.
5/36
Calculate prob of sequence sfpz when four letters picked without replacement from {f: 1, z: 1, p: 2, d: 1, x: 1, s: 1}.
1/420
Four letters picked without replacement from ttxxfxtttfxcxxxftftx. Give prob of sequence xctt.
14/4845
What is prob of sequence rv when two letters picked without replacement from {n: 5, v: 2, r: 4}?
4/55
Three letters picked without replacement from kiizqizqitzzqetzt. What is prob of sequence zzq?
1/68
Calculate prob of sequence ph when two letters picked without replacement from rphxhpptehhhe.
5/52
Calculate prob of sequence tve when three letters picked without replacement from {e: 1, v: 1, r: 2, q: 2, t: 1, d: 1}.
1/336
What is prob of sequence cll when three letters picked without replacement from {t: 2, c: 4, l: 2, v: 3, n: 1}?
1/165
What is prob of sequence gkb when three letters picked without replacement from bgkkkbkgbgbb?
1/22
Two letters picked without replacement from {w: 1, b: 6, u: 7, f: 4}. What is prob of sequence fw?
2/153
What is prob of sequence tft when three letters picked without replacement from {f: 5, g: 2, y: 2, x: 5, t: 5, h: 1}?
5/342
What is prob of sequence hhp when three letters picked without replacement from dhdsphpddhsssduh?
1/140
Calculate prob of sequence wwwm when four letters picked without replacement from {m: 7, w: 7}.
35/572
Four letters picked without replacement from loogfglfgggofgllgogg. What is prob of sequence ggol?
16/1615
What is prob of sequence jqqq when four letters picked without replacement from {j: 7, q: 4}?
7/330
Calculate prob of sequence mqkm when four letters picked without replacement from {q: 1, m: 6, f: 4, k: 2, e: 4}.
1/952
What is prob of sequence gv when two letters picked without replacement from {g: 2, z: 1, v: 1, c: 2}?
1/15
Four letters picked without replacement from {r: 5, e: 14}. Give prob of sequence rrer.
35/3876
Calculate prob of sequence mp when two letters picked without replacement from {p: 5, m: 5}.
5/18
Calculate prob of sequence yl when two letters picked without replacement from {y: 4, w: 4, l: 7, j: 3}.
14/153
Three letters picked without replacement from vvv. What is prob of sequence vvv?
1
Two letters picked without replacement from {x: 2, b: 1, o: 1, f: 1}. Give prob of sequence xb.
1/10
Two letters picked without replacement from pwvyzxv. What is prob of sequence yx?
1/42
Three letters picked without replacement from {o: 3}. Give prob of sequence ooo.
1
Three letters picked without replacement from {a: 6, n: 2, b: 2, f: 1, o: 5}. Give prob of sequence aaa.
1/28
Four letters picked without replacement from xxxxx. What is prob of sequence xxxx?
1
What is prob of sequence kt when two letters picked without replacement from {w: 1, t: 1, u: 1, n: 1, y: 1, k: 2}?
1/21
Four letters picked without replacement from pmdmj. What is prob of sequence jmmd?
1/60
Calculate prob of sequence ryr when three letters picked without replacement from {y: 2, v: 1, r: 4}.
4/35
Calculate prob of sequence omff when four letters picked without replacement from fofffffmffmfofomfmff.
26/1615
Four letters picked without replacement from {d: 19, h: 1}. Give prob of sequence dddh.
1/20
Calculate prob of sequence bbbb when four letters picked without replacement from {b: 4, y: 16}.
1/4845
Two letters picked without replacement from ttp. What is prob of sequence pt?
1/3
Calculate prob of sequence ac when two letters picked without replacement from kqqqcacacaccaaqccqa.
7/57
Two letters picked without replacement from {o: 4, f: 2, x: 1, b: 1, r: 3}. Give prob of sequence xb.
1/110
Calculate prob of sequence nup when three letters picked without replacement from ndqpmdpmu.
1/252
Three letters picked without replacement from pppmzpmzpzzmzzzzpp. Give prob of sequence pzz.
49/612
Calculate prob of sequence kh when two letters picked without replacement from {z: 1, h: 5, k: 1, m: 4}.
1/22
Calculate prob of sequence rlle when four letters picked without replacement from {s: 1, r: 3, l: 1, a: 1, e: 1}.
0
Two letters picked without replacement from {x: 3, o: 2, l: 6, n: 5, q: 2, k: 1}. What is prob of sequence ko?
1/171
Four letters picked without replacement from {k: 6, p: 3, n: 6, q: 2, j: 3}. Give prob of sequence njnn.
1/323
Two letters picked without replacement from ftvaav. What is prob of sequence aa?
1/15
What is prob of sequence zz when two letters picked without replacement from {c: 2, g: 3, t: 1, z: 2, x: 3, a: 1}?
1/66
Calculate prob of sequence qun when three letters picked without replacement from {u: 1, k: 2, l: 3, y: 2, q: 2, n: 4}.
1/273
Four letters picked without replacement from dtwddptpdtdtdd. What is prob of sequence pwpt?
1/3003
Calculate prob of sequence bs when two letters picked without replacement from bsbbbbsbbsbbsbbbbs.
65/306
What is prob of sequence xbb when three letters picked without replacement from {x: 4, b: 2}?
1/15
Four letters picked without replacement from plllppllpp. Give prob of sequence pllp.
5/63
What is prob of sequence rs when two letters picked without replacement from hhhcrhsthhhnshcrn?
1/68
Three letters picked without replacement from {z: 1, f: 3, l: 2, n: 1, u: 3}. What is prob of sequence ulz?
1/120
What is prob of sequence gg when two letters picked without replacement from {f: 4, u: 1, g: 2, m: 4}?
1/55
What is prob of sequence wb when two letters picked without replacement from {w: 8, q: 4, b: 2}?
8/91
Four letters picked without replacement from ntllcnlnnvllltl. What is prob of sequence cnnn?
1/1365
Four letters picked without replacement from mlnmnnllmclmll. What is prob of sequence nmmc?
3/2002
What is prob of sequence emt when three letters picked without replacement from reoeoretme?
1/180
What is prob of sequence dn when two letters picked without replacement from wdwndwwnndwdnwwddhn?
5/57
What is prob of sequence yj when two letters picked without replacement from jyepe?
1/20
What is prob of sequence qvmm when four letters picked without replacement from {q: 1, m: 2, z: 1, t: 2, v: 2}?
1/420
What is prob of sequence rrwr when four letters picked without replacement from {r: 9, w: 10}?
35/646
Three letters picked without replacement from {u: 3, q: 5}. What is prob of sequence uuu?
1/56
Calculate prob of sequence bskc when four letters picked without replacement from kkcssccvsksooosksb.
1/1020
Two letters picked without replacement from sssyssyfysy. What is prob of sequence fy?
2/55
Three letters picked without replacement from {d: 3, e: 9, x: 2, r: 2, u: 3}. What is prob of sequence eux?
3/323
Two letters picked without replacement from {n: 1, u: 2, o: 4, l: 1, t: 2, h: 7}. What is prob of sequence tu?
1/68
What is prob of sequence xeu when three letters picked without replacement from {u: 3, e: 8, g: 2, x: 2}?
8/455
Four letters picked without replacement from vvvvdvvvvvvvvvdd. Give prob of sequence dvvv.
33/280
What is prob of sequence ii when two letters picked without replacement from {x: 2, i: 3}?
3/10
Three letters picked without replacement from {g: 2, s: 2, w: 1, l: 1, p: 1}. Give prob of sequence pwg.
1/105
Three letters picked without replacement from {f: 1, y: 7}. Give prob of sequence yyf.
1/8
Calculate prob of sequence un when two letters picked without replacement from uuffffnfff.
1/45
Two letters picked without replacement from {m: 2, e: 2, n: 1, r: 2, c: 1}. Give prob of sequence cr.
1/28
What is prob of sequence cdd when three letters picked without replacement from {c: 9, d: 11}?
11/76
Two letters picked without replacement from {l: 7}. What is prob of sequence ll?
1
Tw
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the second biggest value in 10/11, -3, 17/2?
10/11
What is the third biggest value in 1, 0.3, 52, -2/5, -1, -8?
0.3
Which is the second smallest value? (a) 9 (b) 4/85 (c) 6
c
What is the second smallest value in 5, 7209, -0.5, -11?
-0.5
Which is the smallest value? (a) 1 (b) 3 (c) 0.07 (d) -409
d
Which is the second smallest value? (a) -0.4 (b) -110/2877 (c) 1/5
b
Which is the second biggest value? (a) 641.685 (b) -1 (c) -0.4 (d) -3/2
c
What is the third smallest value in 4, -31, -7/6, -2, -3?
-2
What is the sixth smallest value in 392, 4/9, 0.3, -2, -0.1, -4?
392
What is the fifth smallest value in -164, 5, -1/5, 0.4, 4, -10?
4
Which is the second smallest value? (a) -508/3 (b) -53 (c) -2/3
b
What is the second smallest value in -510, 4, 0.2, 1/11?
1/11
Which is the third biggest value? (a) -0.02 (b) -25 (c) 3/4 (d) 1 (e) -61
a
Which is the third smallest value? (a) 0.3 (b) 60.3551 (c) -0.06
b
Which is the third smallest value? (a) 5 (b) 302593 (c) 0.1
b
What is the second smallest value in -3, 2, -7115, 53?
-3
Which is the second smallest value? (a) -6 (b) -15572 (c) -5 (d) -4 (e) -2/7
a
What is the third biggest value in -0.03, -2.3, 0, -30?
-2.3
What is the third smallest value in -0.8, 4, 0.022?
4
What is the biggest value in -0.00134, 0.059, -5?
0.059
Which is the third smallest value? (a) 4 (b) -7.92 (c) -3 (d) 193
a
What is the sixth biggest value in -4/7, -1/6, 2/5, 5, -0.4, -0.063?
-4/7
What is the smallest value in -1887, -1/6, 1/14, 0.1?
-1887
What is the second biggest value in 4, 2077/5, 2/13, -4?
4
What is the fourth biggest value in 10, 15.8, 0.5, -2/3, -1/2, -0.18?
-0.18
Which is the fourth smallest value? (a) -4 (b) 0.1 (c) 0.03 (d) 58.6
d
What is the smallest value in -0.5, -0.4, 2/11, -1/6, -0.2, -12?
-12
What is the sixth biggest value in -3, -2, 42, 2, 0.4, 659?
-3
Which is the fourth smallest value? (a) -1/29 (b) 0.427 (c) -9 (d) 5/2
d
What is the fourth biggest value in -0.3, -4/3, 577, 0, 0.02?
-0.3
Which is the second smallest value? (a) 4 (b) 6 (c) 0.5 (d) -2 (e) -1.077
e
Which is the fifth biggest value? (a) 4 (b) -7 (c) -0.4 (d) -4/13 (e) 5
b
Which is the biggest value? (a) -50.18 (b) -0.4 (c) 0.054
c
Which is the biggest value? (a) 28933 (b) 8 (c) -0.5
a
What is the second smallest value in -23759, 4, 1/8?
1/8
What is the second smallest value in 2/7, -1136, 37/2?
2/7
Which is the third smallest value? (a) 2/95 (b) -4 (c) -37 (d) -0.2
d
What is the fifth biggest value in 8, -4, -0.01, -3, -49, -2?
-4
Which is the biggest value? (a) -106 (b) -2 (c) -7 (d) -11 (e) -2/9 (f) 0.4
f
What is the third biggest value in 6, -2/2127, 5, -8/7?
-2/2127
What is the third smallest value in -0.5, 6, -1.9, -2/3, 1?
-0.5
Which is the third biggest value? (a) 3 (b) -2/9 (c) 2/3659 (d) 4/3
c
Which is the fourth smallest value? (a) -5 (b) -4 (c) -1 (d) 5 (e) -1/9 (f) -393
c
Which is the third smallest value? (a) -3 (b) 0.01 (c) -643
b
What is the second biggest value in -1, 1.3, -5, 2/9, 5?
1.3
What is the second biggest value in -1, -2/7, -0.177?
-2/7
Which is the smallest value? (a) 27 (b) -2.19 (c) -30/29
b
Which is the fourth smallest value? (a) -2/5 (b) 1 (c) -2/15 (d) -11 (e) 10038
b
Which is the fourth smallest value? (a) -5 (b) -0.8 (c) 1 (d) -0.13 (e) -1
d
Which is the biggest value? (a) 2.4 (b) 2.5 (c) 818
c
What is the second biggest value in -1/7, -4, 2/11, 0.1, -2/55?
0.1
Which is the smallest value? (a) -60348 (b) -0.4 (c) 3
a
What is the second biggest value in 3/8, -2, 0.2, -1/11, 3/16, 1/3?
1/3
Which is the fifth smallest value? (a) -6 (b) -5 (c) 4 (d) 22.5 (e) -0.1 (f) 2
c
What is the fourth biggest value in -21, -4, 36, -0.1?
-21
Which is the smallest value? (a) 221 (b) -0.01 (c) 3/2
b
What is the fifth smallest value in 0, -1/15, -0.3, -34, -5, 2?
0
What is the second biggest value in 1, 4658, -28?
1
What is the third biggest value in -238, -6, 1/12?
-238
What is the smallest value in 8/5, 4/9, 2.07, 22?
4/9
What is the smallest value in 167.488, 2/3, -0.5?
-0.5
What is the second smallest value in 1, -9, 0.09, 0.26?
0.09
Which is the second smallest value? (a) -423 (b) 4/7 (c) 29
b
What is the second smallest value in 1/19, 6/5, -0.5, -0.3?
-0.3
Which is the fourth smallest value? (a) 0.1 (b) -7.145 (c) -12 (d) 6
d
What is the smallest value in -2, -3668/9, 1/3, 0.1, 0.2?
-3668/9
Which is the second smallest value? (a) 9/5 (b) 138 (c) 120
c
Which is the fifth smallest value? (a) 0.4 (b) 1 (c) 131 (d) -1 (e) 3.7
c
Which is the second biggest value? (a) 316 (b) -3/5 (c) 4/5 (d) -0.3 (e) 1.9
e
What is the fourth biggest value in -30, 5, 0.2345, -0.3, -2, 3/7?
-0.3
Which is the second smallest value? (a) 3 (b) 0.4 (c) -45/1232 (d) -0.1 (e) -3
d
What is the fourth biggest value in -0.4, 30, -10, 2, 0?
-0.4
What is the biggest value in -4, 0, -6742, 4?
4
Which is the third biggest value? (a) 5 (b) 1/30 (c) 276
b
What is the fourth smallest value in -4, -1/4, 1, 48, 0, -2?
0
Which is the smallest value? (a) 70 (b) -3 (c) -0.4 (d) 0.3 (e) 3 (f) 0.16
b
What is the biggest value in -259, 9, 0.1, -1/102?
9
Which is the third biggest value? (a) 0.6 (b) -1/4 (c) 3/7 (d) 1/6 (e) 25 (f) -0.3
c
Which is the second biggest value? (a) -0.2 (b) -0.02 (c) 3/5 (d) 0.7 (e) 0
c
Which is the third smallest value? (a) -12/149 (b) 5 (c) 0.07
b
Which is the third smallest value? (a) 9678 (b) 0.4 (c) 2 (d) -0.1 (e) -1/2
b
What is the smallest value in -5, -0.07, -1, -18.05?
-18.05
What is the second biggest value in 4, -2/65, 1, -0.2, -3/5, -4/5?
1
Which is the fourth biggest value? (a) 2 (b) -2/25 (c) -0.5 (d) 5 (e) -3
c
Which is the fifth biggest value? (a) 1 (b) -0.3 (c) 1500 (d) 4/5 (e) -2/3
e
What is the fifth smallest value in 0.4, -9, 0.5, 1, -86, -0.2?
0.5
What is the third biggest value in 32, -2/3, -1/171?
-2/3
Which is the second smallest value? (a) 7 (b) -17 (c) -1/4 (d) -335
b
Which is the third smallest value? (a) -2/3 (b) 0.1 (c) -295
b
What is the third biggest value in 0.95, 4, -0.4, -5, -0.1?
-0.1
Which is the third smallest value? (a) 5 (b) -0.05 (c) 1 (d) 0.82
c
Which is the second smallest value? (a) 0.05 (b) -2/7 (c) -3.78 (d) 12
b
Which is the third biggest value? (a) 7 (b) 4 (c) -0.2 (d) -0.1 (e) -98
d
Which is the second biggest value? (a) -2/15 (b) -0.4 (c) 2821 (d) 1/4
d
What is the second biggest value in -7/3, 2, -21, 3, 4/3?
2
Which is the second smallest value? (a) -2 (b) 0.06 (c) 65/7
b
What is the fourth biggest value in 0.2, 2/7, 12, -4728, -0.1?
-0.1
Which is the biggest value? (a) 75 (b) 0.13 (c) -2/13 (d) -1
a
What is the third smallest value in -3/13, 2, -3, 0.115?
0.115
What is the third biggest value in -5, -1.71, -2/7, -10?
-5
What is the biggest value in -3/4, 0.109, 9, -2/17?
9
What is the biggest value in 2, 1, 5, 0.4, -77.95, -5?
5
What is the fourth smallest value in -5, -0.4, -4, 1/4, 4/15, 0.02?
0.02
Which is the second smallest value? (a) 1/4 (b) 17 (c) 0.1 (d) 0.18 (e) 2
d
What is the second biggest value in 4025, -0.1, 2/369?
2/369
What is the second biggest value in 4, 1.1, 125?
4
What is the third smallest value in -5.9, 2, 0, -3, 2/3?
0
What is the fifth smallest value in 3/37, -11/3, 0, -3/7, 84?
84
What is the third smallest value in 183/2, 2/15, 3/4, -5, -1/9?
2/15
What is the third biggest value in 10, 0.44, 2/13, 1/3, -4/7?
1/3
Which is the fifth smallest value? (a) -1 (b) 0 (c) -2/257 (d) -4 (e) 2/9
e
What is the third biggest value in -3, 5, -2/5, -0.09, -0.1, -22?
-0.1
Which is the third biggest value? (a) 0.65 (b) -5 (c) -1 (d) 0.1 (e) 1
d
Which is the second smallest value? (a) 30/283 (b) -1 (c) 3 (d) -8
b
Which is the sixth biggest value? (a) -1/2 (b) 2 (c) 400 (d) -256 (e) -0.4 (f) -1
d
Which is the third smallest value? (a) 5 (b) 1 (c) -2 (d) 2/13 (e) 19
b
What is the fifth biggest value in -1/4, -7, -4, -0.5, -0.012, 1?
-4
Which is the second smallest value? (a) 1/8 (b) 7.2 (c) 126/5
b
What is the second biggest value in -1019, 4, 14?
4
Which is the second biggest value? (a) 3 (b) -0.66 (c) 1.5 (d) -4
c
Which is the third bigg
|
{
"pile_set_name": "DM Mathematics"
}
|
- 27.992. Let l = 0.108 - g. Which is greater: 89 or l?
89
Let n be (-1)/((-31)/8 + 4). Let r be ((-1)/(n/(-36)))/6. Which is bigger: r or 0.1?
0.1
Let j = -16001/23 + 696. Which is smaller: j or -1?
-1
Let h = 92 - 90. Suppose 3*u + h*r = -1, -5*r - 1 = u - 5. Which is smaller: u or -2/105?
u
Let f(t) = -t**3 + 12*t**2 - 13*t + 26. Let k be f(11). Let o = -263 - -2927/11. Do k and o have the same value?
False
Let l be 420/(-45) - 4/6. Let s be (-204)/10*25/l. Suppose p + 3*v = -3*p - s, -v - 50 = 5*p. Is -9 at least p?
True
Suppose -2*k + 5*r = 4, -4*k + 1 = -k - 4*r. Is 17/7 at most as big as k?
True
Let p = 9494/51 + 292/17. Let c = 198 - p. Let x = 0.01 - 0.01. Which is smaller: c or x?
c
Let f(j) = -2*j - 22. Let s be f(-17). Let y be (33/s)/(3/(-12)). Which is greater: y or -12?
y
Suppose -5*q + 10 - 40 = 0. Let p(f) = -f**3 - 7*f**2 - 2*f - 5. Let w be p(q). Is w equal to -30?
False
Let k be 0 - 0 - (-8)/4. Let o(x) = x**3 - x**2 + 4*x + 60. Let a be o(0). Let h = a - 57. Which is bigger: h or k?
h
Let f be 1744595/2140 - (-2)/(-8). Let s = 815 - f. Which is greater: 1 or s?
1
Let z be -9 - -1 - (30 - 41). Suppose 4*w + 0*w - 6 = -3*a, 0 = a + 4*w - 2. Is a at most z?
True
Let a = 65676 - 458362/7. Let t = 196 - a. Which is smaller: t or 2?
t
Let n be (-2)/8 - 3/(-12). Suppose 9*a = -n*a + 2*a. Which is bigger: 4/3 or a?
4/3
Let j be 2/(-4)*66/(-55). Let z be (1 - -2)/(-9)*-6. Suppose -2 = -b - 0*b + 2*r, -z = -b + r. Is b >= j?
True
Suppose 6 = -3*b - 12. Let o = 31457/8 - 3937. Is o > b?
True
Let g = -42 - -21. Let z be ((-3)/(-2))/(g/(-12)). Let k = 21 - 19. Is z greater than or equal to k?
False
Let d = 115 + 8. Let p = -147 + d. Is p at most -21?
True
Let u be (((-24)/(-75))/2)/2. Let j = u + -31/75. Let d(b) = 6*b - 1. Let w be d(0). Which is greater: j or w?
j
Let g(o) = o**3 - 9*o - 7. Let l be g(6). Suppose -3*p = l - 26. Is -44 < p?
True
Let g(w) = 14*w**2 - w. Let u(d) = d**2 + 4*d - 5. Let x be u(-5). Suppose -4*a + x*a = 4. Let b be g(a). Is 14 < b?
True
Let j = 2701/3 - 830. Is 70 greater than j?
False
Let r = 2658/35 + -76. Let k(n) = n**3 - 11*n**2 + 2*n - 2. Let f be k(11). Let x = -19 + f. Is x less than r?
False
Let k = -34 - -27. Let x = 6.1 + k. Which is smaller: 0.2 or x?
x
Let h(v) = -7 + 7*v**2 - 15*v + 2*v**2 - 7*v**2. Let n be h(8). Which is bigger: 2/19 or n?
n
Suppose -2*x + 3*x = 0. Suppose x = 4*q - 4*s + 8, 4*q + 6 + 1 = 5*s. Which is smaller: -1 or q?
q
Let i = -343 + 313. Are 0 and i unequal?
True
Suppose 0 = -0*a + 4*a. Suppose 2*u + u - 15 = a. Is -0.2 at least u?
False
Let o(p) = 8*p - 87. Let z be o(11). Is z at least 5/14?
True
Suppose 4*n + 3*m = 3*n - 8, 0 = n + m + 2. Suppose 5 + n = b. Which is smaller: 8 or b?
b
Let z = 753 - 744. Which is smaller: -24 or z?
-24
Suppose 0 = -3*n - 7 - 23. Let f be (2/n)/(44/(-253)). Let z = -7/5 + f. Do z and -1 have different values?
True
Let m(y) = -13*y + 31. Let w be m(4). Which is smaller: w or -22?
-22
Let n(h) = -2*h + 4. Let t(s) = -2*s + 5. Let c(i) = -5*n(i) + 6*t(i). Let o = 14 - 9. Let g be c(o). Is -1 < g?
True
Let q = 1332 - 1402. Is -343/5 less than q?
False
Suppose q + 11*q - 12 = 0. Let j be (-30)/(-16) - q - 6/12. Let i be -2*(-1)/(-5)*-1. Which is greater: i or j?
i
Let x be (30/35)/(6/21). Suppose k = 4*s - 19, 5*s - x - 18 = 4*k. Which is greater: -1/3 or k?
k
Let q(m) = -m + 5. Let d be q(-13). Let g = d - 6. Does g = -2?
False
Let g = 576.3 - 576. Are -2/11 and g unequal?
True
Let t = 3.007 - 0.397. Let a = 0.11 - t. Which is smaller: -2 or a?
a
Let c(s) = -30*s - 2. Let b be c(-1). Let y = b - 29. Let f = y + 2. Which is greater: -2/59 or f?
f
Let a = 2039 + -2129. Are a and -90 unequal?
False
Let b = -442 + 1324/3. Let a = 0.07 + -0.01. Let x = a + -4.06. Is x smaller than b?
True
Suppose 38 = -4*i + 42. Which is smaller: i or 0?
0
Let w = -2058 - -2754. Which is bigger: w or -0.1?
w
Suppose -2*w - 3*s = -0*s + 10, -2*w - 4*s = 14. Let g be w/(1/(5/(-50))). Is g equal to 1?
False
Let o be (35/60)/(3/36*-3). Which is smaller: o or -2?
o
Let r = -142.89 + 143. Let s = 2.89 + r. Which is greater: -2/57 or s?
s
Let x be -3 + 24/4 - 8. Let k = x + 10. Suppose t = k*t - 8. Is -4 greater than t?
False
Let r be 3/(-36) + 186/(-360). Which is bigger: r or 7/6?
7/6
Let k be (18/(-99) - (-64)/(-11))/11. Suppose 0 = -0*p + p - 2*d + 10, 2*p + d = 0. Let f be 3/(-3) - 3/p. Which is greater: f or k?
f
Suppose m = 1, -v + 3 - 6 = m. Which is smaller: v or 0.04?
v
Let p(u) = 6*u**3 + 40*u**2 - 24*u + 35. Let c(r) = -r**3 - 8*r**2 + 5*r - 7. Let h(m) = -11*c(m) - 2*p(m). Let f be h(7). Which is smaller: 1/7 or f?
1/7
Suppose n + 9 = -5*q, -5*n + 14 = -3*q + 3. Is 3 at least as big as n?
True
Let q be (0/4)/(3 - -4 - 9). Is q at most -6/205?
False
Let d = -5.7 + -53.3. Let b = d + 61. Which is smaller: b or -0.3?
-0.3
Suppose 3*w = 0, -w - 4 = 2*v - v. Let m be 14/(-56) - 1/v. Let b be m/5 - 4/30. Which is greater: 2/5 or b?
2/5
Let f = 78 + -80.5. Is f less than or equal to -0.3?
True
Let d be -2 - ((-10)/5 - 3). Suppose 5*q + 167 = 4*m, d*q + 3*m + 51 + 33 = 0. Is -30 at most as big as q?
False
Let r be (-3)/(-6) + (-2)/4. Suppose 4*z + 112 = -4*b, b - 4*z + 1 + 17 = 0. Let v = 137/5 + b. Are r and v equal?
False
Let h(s) = -3*s - 28. Let q be h(-10). Which is greater: q or -27?
q
Let y be -12 + 0 - 5/5. Let i = -44/3 - y. Let k = -11 - -75/7. Is i >= k?
False
Suppose 4*u - 9*u - 4*v - 135 = 0, 5*v + 25 = 0. Let c = u - 2. Let o = c - -33. Is 8 greater than or equal to o?
True
Suppose 41 = 5*v - 4. Suppose -v = 3*j, 2*d - 4*j - 3 = -3*j. Is -2/23 smaller than d?
True
Let n = -3/1103 - -15565/45223. Let p = n - 292/615. Which is bigger: -1/3 or p?
p
Let m = -5570 - -5574. Suppose -4*g + 3*o + 3 = -21, -12 = 3*o. Which is bigger: g or m?
m
Suppose 0 = 2*r + 5*p - 57, -r - 32 = -2*r + p. Suppose 0 = -2*q - 4*j - 23 - r, 2*j = -2*q - 48. Let f = q - -19. Which is smaller: 5 or f?
f
Suppose 2*d = -w + 8, 4*w + d - 4 = -w. Let z be 150/(-190) + (-1 - -2). Which is bigger: w or z?
z
Let b(s) = s + 3. Let g be b(-3). Suppose 0 = -q - q + 3*d - 13, 2*q - d + 7 = g. Let o be 0/2 + 6/(-4). Which is smaller: o or q?
q
Let y be (-898)/(-10) - (-16)/80. Suppose -5*m = 45 - y. Which is smaller: m or 7?
7
Let z = 665 + -664. Which is greater: 1/469 or z?
z
Let k = -11 - -6. Let s(b) = -b**2 - 14*b + 2. Let t be s(-14). Let p be (-2)/(4/(t/(-1))). Which is smaller: p or k?
k
Let l(s) = -s**3 - 5*s**2 + 4*s + 2. Let d be l(-6). Let j = 13 - d. Let m = 14/37 - 265/407. Is m > j?
True
Let h be 3*(20 + -2)/(-9). Does h = 44?
False
Let p be 700/13 - -5 - 9. Are 50 and p unequal?
True
Let y = 172 + -153. Is y smaller than 20?
True
Suppose 602 = 34*i + 4478. Is i > -119?
True
Let p = 0.87 + -0.05. Let s = -0.52 + p. Do 3 and s have the same value?
False
Suppose 0*q = 2*q + 80. Let x = q + 44. Which is smaller: 2 or x?
2
Let u(g) = -g**3 + 4*g**2 + 11*g + 5. Let m be u(6). Let k = -11/6 - -67/30. Is m at least as big as k?
False
Let t be 38/(-12)*56/(-21). Is 7 < t?
True
Suppose 1 = -5*w + 6. Let t = 5.55 + -5.35. Which is greater: t or w?
w
Suppose -4*s - 5 + 29 = 0. Suppose -5*o + v = -40, 3*v = -10 - 5. Suppose s = -j + o. Which is greater: 1/8 or j?
j
Let x = -222 - -232. Is x less than 24?
True
Let v(t) = -3*t - 2 + 3*t**2 - 17*t**3 + 16*t**3 + 4*t. Let u be v(3). Suppose -8 = -3*l - 2. Are l and u non-equal?
True
Let g = -18 + 21/2. Let h(t) = -2*t**2 - 158*t + 1195. Let u be h(7). Which is smaller: u or g?
u
Let c = -1388 - -1179. Which is smaller: c or 2/3?
c
Let z = -13 - -31. Which is bigger: z or 4?
z
Let g be (18/4)/((-7)/(-42)). Let f be 1*4/(12/g). Suppose 4*u = 2*n + 18, -4*n = -0*n + u + f. Is -1 != n?
True
Let b = 92.8 + -91.8. Let k be (0 - 6/(-9))*27. Is k at most as big as b?
False
Let c = -1768708/535 + 3306. Let n = 2998/535 - c. Which is greater: n or 5?
n
Let j(y) = -26*y + 64. Let c be j(3). Which is smaller: c or 2/49?
c
Let p = -0.01 + -0.09. Let g = -1121 + 1125.61. Let s = 4.6 - g. Which is smaller: p or s?
p
Let v = 43 + -56. Which is smaller: -149/11 or v?
-149/11
Let z(i) = -2*i**2 - 19*i - 38. Let v be z(-3). Let b be (2/4)/((-159)/6). Is v at least b?
True
Let r(y) = y**2 - 19*y + 44. Let u be r(16). Let w(t) = -t**3 - 3*t**2 + 6*t + 6.
|
{
"pile_set_name": "DM Mathematics"
}
|
5*i**2 - i**2 + (-3*i - i + 2*i)*(-14*i + 2*i - 4*i) - 5*i**2 + 2*i**2 + i**2 + 3*i**2 + i**2 - 6*i**2 to f*i + a*i**2 + x and give a.
26
Express 13*x**3 - 2*x**3 + 2*x**2 + 0*x**3 in the form i*x**3 + w*x + q*x**2 + o and give i.
11
Rearrange (-20 - 39*l**2 + 20)*(5*l + l**2 - 5*l) + 0*l + 2*l**4 + 0*l to the form s + j*l**2 + r*l + f*l**3 + p*l**4 and give p.
-37
Express (0 - 2*i + 0)*(0*i + i - 2*i)*(-9*i**2 - 14*i**2 + 29*i**2) in the form b*i**3 + l*i + u*i**2 + v + h*i**4 and give h.
12
Express -6*w**2 + 0*w**2 + 2*w**3 + 10*w + 5*w**2 as v*w**3 + a*w**2 + n + b*w and give b.
10
Rearrange -5*w - 4 - 4*w - w to the form f*w + d and give d.
-4
Express 0*u**4 + 9*u + 2*u**4 - 2*u**2 - 3*u**4 - 2 + 3*u**2 in the form g*u**2 + a*u**3 + m*u**4 + f*u + i and give g.
1
Rearrange 7*l**2 + 1 - 15*l**2 + 2*l - 1 to w*l**2 + v + s*l and give s.
2
Express -p**2 + p**2 - 4*p**2 - 7 + 6*p**2 + 7 + (-2 - 3 + 3)*(-3*p - 2*p**2 + 3*p) as u*p**2 + t + k*p and give u.
6
Express (4*s**3 - 3*s + 3*s)*(-5*s + 4*s - s) - 81 + 81 - 39*s**4 in the form d*s**2 + g*s**4 + q*s + y*s**3 + w and give g.
-47
Express (-2 + 3 + 9)*(v - 1 + 1) + 1 - 1 + 2*v as c*v + s and give c.
12
Rearrange -51*o**3 + 24*o**3 + 1 + 34*o**3 + 2*o to l*o + f*o**3 + b + y*o**2 and give b.
1
Rearrange 28 + 27 + t**2 - 61 + 3*t**3 + 2*t**3 to z + i*t**2 + y*t + m*t**3 and give i.
1
Rearrange (3*q**2 + 5*q - 5*q)*(103 - 33 + 102 + 171) to the form j + d*q + s*q**2 and give s.
1029
Express (0*u + u + u + (-2 + 5 - 2)*(2*u - 4*u + 4*u) + 0*u - 2*u + 3*u + u - 5*u + 7*u)*(1 - 3 + 3) as k + m*u and give m.
8
Rearrange (-23 + 41 + 39)*(-1 + 1 + 2)*(-d + d + 2*d) + (-3 - 1 + 2)*(-3*d - 3*d + 4*d) to the form c + z*d and give z.
232
Rearrange 8*s + 13*s - 9*s + 95*s to the form i*s + v and give i.
107
Rearrange -73*a + 15*a - 51*a to the form i + s*a and give s.
-109
Express (5*a - a - 3*a)*(2*a + 5*a**2 - 2*a)*(0 + 2 + 2) as h*a**2 + x*a + u*a**3 + o and give o.
0
Rearrange (2*a**2 + 225 + 84*a - 84*a)*(-2*a**2 - 4 + 4) to p + u*a**4 + b*a**3 + s*a + t*a**2 and give u.
-4
Rearrange (-3 - r + 3)*(29*r**3 + 27*r**3 - 87*r**3) to g + p*r**2 + w*r + l*r**3 + v*r**4 and give v.
31
Rearrange 17 - 8 - x + 9 + 13 to l + f*x and give l.
31
Rearrange 1145*k - 2*k**3 - 1145*k + 23*k**2 to the form h*k + u*k**2 + w + n*k**3 and give n.
-2
Express (-2 - 2 + 6)*(4*k**2 + 6*k**2 - 5*k**2) in the form w + i*k + a*k**2 and give a.
10
Express -139 + 64*j + 281 - 142 in the form m*j + f and give m.
64
Rearrange (-7 + 22*t + 7)*((-1 - 1 + 4)*(-2*t + 3*t + t) + 0*t - t + 3*t) to p*t + d*t**2 + a and give d.
132
Rearrange -91 + 8*k + 27*k + 90 + k - 1 + 1 - 3*k + 2*k + 2*k + (-1 - 3 + 3)*(k - 2*k + 0*k) + 2*k + 2 - 2 + 0 + 0 - k to the form f + x*k and give x.
39
Express -25 + 36*t + 54 - 28 in the form q*t + g and give q.
36
Rearrange -2*w**4 + 1 + 0*w + 2 - w - 4 to the form o*w**3 + z*w**4 + l*w + r*w**2 + c and give l.
-1
Express -2 + 0*v - 8*v + v - 5*v as b + y*v and give b.
-2
Rearrange 12 - 147*u**4 - u + 145*u**4 + 4 to y*u + f + g*u**2 + r*u**4 + o*u**3 and give y.
-1
Express -2 + 4*k**3 - 3*k**3 - 2*k**3 - 3 - 2*k**2 as n*k**3 + t + l*k + g*k**2 and give g.
-2
Express (-2*p - 3*p + 6*p + (0*p + p - 4*p)*(6 - 2 - 2))*(7*p**3 - 2*p**3 + 4*p**3) as d*p**2 + u*p**3 + y*p**4 + v*p + j and give d.
0
Express ((1 - 5 + 3)*(2 + 0 + 0) + 1 + 4 - 4)*(2*s - 2*s + 3*s) as u + w*s and give w.
-3
Express (35 + 17 - 2*f - 34)*(0 + 3 - 4) as d*f + n and give n.
-18
Rearrange -7 - 4*q**3 + 3*q**3 + 2*q + 7 to o*q**2 + m + f*q + j*q**3 and give j.
-1
Rearrange (2 - 1 - 3)*(4*i - 4*i + 2 - 4*i**4) to p*i**3 + z + b*i + a*i**2 + v*i**4 and give v.
8
Express 40*i - 984 + 984 as c + a*i and give a.
40
Express 1 + 2 - 3 - 21*c as j*c + t and give j.
-21
Rearrange -n**2 - 5*n**2 - 3*n**2 + 7*n**2 - 14*n**3 to the form s*n + f*n**2 + g + z*n**3 and give f.
-2
Express (k - k - 3*k)*(18 + 9*k**2 - 18)*(8 - 1 - k - 1) in the form p*k**4 + f*k**3 + v*k**2 + x*k + n and give p.
27
Express -5*j + 9*j - 2*j - 2*j - 3*j + 4*j + (3*j - 3*j - 2*j)*(3 - 2 - 5) in the form w*j + l and give w.
9
Express -8 + 8 + 20*c in the form v*c + d and give v.
20
Express 21 + 7*x - 21 in the form i*x + o and give i.
7
Express (920 + 56*t**2 - 920)*(0 - 6 + 4 - 1 - 2 + 1 + (-2 + 3 + 1)*(0 + 2 - 1)) as p + h*t**2 + k*t and give h.
-112
Express -119*q**3 + 119*q**3 + 9*q**2 + 2*q + 2 + q**4 in the form z*q**4 + m + f*q + t*q**2 + a*q**3 and give t.
9
Rearrange (-19 + 3*x**2 + 14 - 2*x**2)*(-3*x + x + 0*x)*(6*x - 4*x + 0*x) to the form j*x**3 + r*x + u*x**4 + s*x**2 + o and give s.
20
Rearrange -10*q**2 + 7 + 3*q**3 - 8 - 6*q**2 + 2*q - 4*q**2 to d + i*q**2 + j*q**3 + b*q and give i.
-20
Express (-l**3 - l**3 - l**3)*(-29 - 6 - 9) as x*l**3 + y + m*l + n*l**2 and give x.
132
Rearrange (4 - 1 - 4)*(v + 2 - 2) + 18*v - 6 + 6 to m*v + g and give m.
17
Rearrange (-5*g + g + 2*g)*(-3*g**2 - g**2 + 5*g**2) - 63*g**3 + 2*g**2 + 58*g**3 + g + 2*g to h*g**2 + n*g**3 + r + z*g and give n.
-7
Rearrange -71 - 12*k**3 + 71 + k to the form d*k + y*k**3 + n + q*k**2 and give d.
1
Express (0*v + 3*v - v)*(14*v - 17*v - 10*v) in the form n*v + q*v**2 + y and give q.
-26
Rearrange 241*x - 88*x + 7*x**2 - 7*x**2 - x**2 to i*x**2 + u + l*x and give l.
153
Express 65 + 0*x + 5*x - 9*x + 5*x as a + s*x and give s.
1
Express 1 + 1 + s + s**3 - s - 2*s - 2*s**4 as b*s**3 + g + d*s**4 + u*s + p*s**2 and give p.
0
Express (5 + 1 - 4)*(-5*n + 7*n + 2 - 6) as g*n + v and give v.
-8
Rearrange (-i - i - i)*(-i - 2*i + 7*i) + (-1 + 1 + 2*i)*(-1 + 5 - 2)*(3*i - 2*i + 0*i) to x*i**2 + v*i + d and give x.
-8
Rearrange (0*v + v + 0*v)*(6*v + 28*v - 15*v) + (-3 - 2*v + 3)*(2*v - 3*v + 3*v) to z*v + s + f*v**2 and give z.
0
Rearrange 118*q - 2*q**2 - q**3 + q**4 - 128*q + 2 + q**3 to h*q**2 + u*q**3 + t*q + b*q**4 + x and give h.
-2
Express 5*m - 6*m - 7*m in the form v + r*m and give r.
-8
Express -9*v**4 - 4*v**4 + 3*v**4 + (2*v + v - v)*(3*v**2 + v**3 - 3*v**2) - 2*v**4 + 4*v**4 + 0*v**4 in the form t*v + c + i*v**3 + l*v**2 + b*v**4 and give b.
-6
Express -12*y - 2*y**2 + 12*y + 31 in the form g*y**2 + r*y + n and give n.
31
Express (-4*t**3 + 3*t**3 - t**3)*(1 + 0 + 1) - 72 - 16*t**3 + 72 in the form q + l*t**3 + w*t + z*t**2 and give q.
0
Express ((3 - 5 + 3)*(5 - 1 - 2) + 0 - 1 + 3 - 5 + 34 - 6)*(3 + 3*k - 4 - 1) in the form q + w*k and give w.
81
Express (1 - 3 + 3)*(-1 + 1 + 1)*(6*f**2 + 20*f - 20*f) + 7*f - 7*f + f**2 as w*f**2 + y*f + t and give w.
7
Rearrange -8406 + 8406 - 122*h**2 to o*h**2 + s*h + j and give o.
-122
Express 4 + 158*f - 4 - 111*f as t + k*f and give k.
47
Rearrange (-2*i + 1 - 1)*(3*i + 3*i + 8*i)*(-3 + 0 - 3) to z*i**2 + f*i + j and give z.
168
Rearrange (3 - 1 - 3)*(0*q + q + q) + q + q - 5*q - 2 + 5*q + 2 + (-2*q + 2*q - q)*(2 + 5 - 3) to the form r*q + x and give x.
0
Rearrange 3*d**2 - d**3 - 5*d + 0*d**4 - d**4 - 3*d**2 + 2 to the form w + t*d**4 + a*d + g*d**3 + m*d**2 and give t.
-1
Rearrange d - d**4 - 1 - d**2 + 5*d**4 - 2*d**4 - 4*d to b*d**3 + u + w*d**2 + n*d + g*d**4 and give w.
-1
Rearrange -3*s + s + 4*s - 4*s + 5*s - 9*s + (-4 + 3 + 3)*(1 - 1 + 2*s) + (2 - 3 + 0)*(-2 + 2 + s) to w*s + i and give w.
-3
Rearrange o**4 + 4*o**4 - 3*o**4 + (-3*o + 5*o - 3*o)*(-o**3 + o**3 + 3*o**3) to y*o**3 + q*o + i*o**2 + b + r*o**4 and give r.
-1
Rearrange p**3 + 7*p**2 - 4*p**2 + 2*p**3 - 7*p**3 - 1 to the form j*p + s*p**3 + y*p**2 + l and give s.
-4
Express (100*g**2 + g - g)*(-5*g + 2*g + g + (1 + 3 - 2)*(5*g - 2*g - 2*g) + 0*g + 0*g + 2*g) as w*g**2 + t*g**3 + u*g + l and give t.
200
Rearrange (3*x - 9*x + 22*x)*(-2 + 3 - 4) to p*x + h and give p.
-48
Express 3*t**3 - 7*t + t**2 - 2*t**3 + 10*t + t**2 in the form j + y*t**2 + s*t**3 + c*t and give y.
2
Rearrange (8 - 4 + 10)*(3*j + 2*j - 4*j) + 0 + 0 + 2*j to the form u*j + i and give u.
16
Express (1 - 1 + 2)*(-1 - 1 - 5)*(57 - 57 + 10*a) in the form r + f*a and give f.
-140
Express (-v - 3*v + 5*v)*(1 - 8*v + 13 - 17) in the form i + n*v + x*v**2 and give x.
-8
Rearrange (-1 + 3*i + 1 + (2*i + 3 - 3)*(-1 + 14 - 8))*(-2 + 2 - 1 + (0 + 0 - 1)*(2 + 1 - 1)) to s + d*i and give d.
-39
Express -i**2 - 6*i + 14*i**3 + 5*i - 12*i**3 in the form p*i**3 + j + m*i**2 + s*i and give s.
-1
Rearrange (-1 + 2*i + 1)*(-2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from kkggggk.
1/7
Four letters picked without replacement from {d: 1, l: 2, u: 4}. What is prob of picking 3 l and 1 d?
0
Calculate prob of picking 1 j, 1 u, and 1 a when three letters picked without replacement from eaojuou.
2/35
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {u: 2, g: 1}.
2/3
Two letters picked without replacement from {s: 2, g: 5, o: 4, c: 3, h: 5, a: 1}. What is prob of picking 1 a and 1 c?
3/190
Three letters picked without replacement from deewestfeettt. Give prob of picking 1 e, 1 w, and 1 d.
5/286
Calculate prob of picking 4 r when four letters picked without replacement from {r: 6}.
1
What is prob of picking 1 j and 3 d when four letters picked without replacement from ddjjdd?
8/15
What is prob of picking 3 j when three letters picked without replacement from {o: 5, j: 8}?
28/143
Two letters picked without replacement from rffufurrrfffun. What is prob of picking 2 u?
3/91
Four letters picked without replacement from jvvjvvvvjjvvvvjv. What is prob of picking 4 j?
1/364
What is prob of picking 1 y and 2 z when three letters picked without replacement from zzaaauaaayuazaaa?
3/560
Two letters picked without replacement from {j: 1, m: 2, z: 7}. Give prob of picking 1 j and 1 m.
2/45
Three letters picked without replacement from jpuyu. Give prob of picking 1 j, 1 y, and 1 u.
1/5
Four letters picked without replacement from {e: 4, x: 3, w: 3, t: 3}. What is prob of picking 1 e and 3 w?
4/715
Two letters picked without replacement from {u: 2, r: 1, z: 3, i: 4, c: 7, x: 1}. What is prob of picking 1 i and 1 z?
4/51
Three letters picked without replacement from egeeyegebeb. What is prob of picking 3 e?
4/33
Two letters picked without replacement from fnc. Give prob of picking 1 f and 1 n.
1/3
What is prob of picking 1 a, 1 y, and 1 q when three letters picked without replacement from zqqznqzzaynnq?
2/143
Three letters picked without replacement from {p: 8, t: 1, z: 3, q: 2, g: 3, f: 1}. What is prob of picking 1 g, 1 p, and 1 z?
3/34
Three letters picked without replacement from {f: 3, r: 13, l: 3}. What is prob of picking 3 f?
1/969
Calculate prob of picking 3 o when three letters picked without replacement from {q: 2, o: 6}.
5/14
Two letters picked without replacement from dkdussdkkdskdd. Give prob of picking 2 k.
6/91
What is prob of picking 1 n and 2 b when three letters picked without replacement from {k: 3, i: 2, b: 3, n: 1, w: 3, d: 1}?
3/286
Two letters picked without replacement from {n: 5, y: 8}. Give prob of picking 2 n.
5/39
Four letters picked without replacement from fhllfhlhllll. What is prob of picking 3 l and 1 f?
14/99
Four letters picked without replacement from csssssscss. Give prob of picking 1 c and 3 s.
8/15
Three letters picked without replacement from iiiiibb. What is prob of picking 1 i and 2 b?
1/7
Calculate prob of picking 3 k when three letters picked without replacement from {g: 3, k: 4, r: 4, q: 2, b: 3}.
1/140
Two letters picked without replacement from vhvsvgsysbh. Give prob of picking 1 y and 1 b.
1/55
Two letters picked without replacement from {b: 10, i: 1, m: 2, p: 3}. What is prob of picking 2 p?
1/40
Two letters picked without replacement from {q: 1, g: 4, y: 1, t: 1, c: 2}. What is prob of picking 1 g and 1 q?
1/9
Two letters picked without replacement from vwwvvvv. What is prob of picking 1 w and 1 v?
10/21
Four letters picked without replacement from {a: 1, i: 1, g: 2, e: 1, d: 1, t: 2}. What is prob of picking 1 d, 1 g, and 2 a?
0
What is prob of picking 2 g and 1 l when three letters picked without replacement from {l: 1, n: 4, e: 1, g: 4, m: 6}?
3/280
Four letters picked without replacement from {b: 6, y: 3, e: 3, s: 1, q: 2}. What is prob of picking 1 s, 1 q, and 2 y?
2/455
Two letters picked without replacement from {i: 1, m: 1, y: 2, n: 1, v: 1, t: 2}. What is prob of picking 1 t and 1 y?
1/7
Calculate prob of picking 1 b, 1 t, and 2 h when four letters picked without replacement from {h: 4, t: 3, b: 11}.
11/170
Two letters picked without replacement from oooohoohgo. Give prob of picking 1 o and 1 g.
7/45
Two letters picked without replacement from {a: 3, l: 5, m: 3, g: 2, q: 3}. What is prob of picking 2 q?
1/40
What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 3, u: 1, i: 2, m: 3, k: 1, h: 5}?
3/35
Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {p: 3, r: 1, j: 1, z: 2}.
1/35
Two letters picked without replacement from {v: 2, d: 3, u: 6, q: 1}. What is prob of picking 1 d and 1 u?
3/11
What is prob of picking 1 d, 1 v, and 1 c when three letters picked without replacement from vcdihdcah?
1/21
Four letters picked without replacement from kpfpppyk. What is prob of picking 3 p and 1 f?
2/35
Two letters picked without replacement from hppupphppxhtphhpxhh. What is prob of picking 1 x and 1 p?
16/171
Calculate prob of picking 4 a when four letters picked without replacement from {a: 5, q: 1, i: 7}.
1/143
Calculate prob of picking 2 a, 1 k, and 1 j when four letters picked without replacement from {j: 10, k: 2, a: 4}.
6/91
Three letters picked without replacement from gagggagggagggggagggg. Give prob of picking 2 a and 1 g.
8/95
Calculate prob of picking 1 y and 1 z when two letters picked without replacement from adxuxzyyxyyxuzyx.
1/12
Two letters picked without replacement from {k: 2, t: 1, l: 9, a: 1}. Give prob of picking 1 k and 1 t.
1/39
Two letters picked without replacement from {v: 2, m: 4, g: 1}. What is prob of picking 1 m and 1 v?
8/21
Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {s: 3, a: 8}.
24/55
Two letters picked without replacement from odddo. What is prob of picking 2 d?
3/10
What is prob of picking 1 w and 1 o when two letters picked without replacement from oppjpuppppjwwp?
2/91
Two letters picked without replacement from hzzpyhd. What is prob of picking 1 z and 1 y?
2/21
What is prob of picking 2 i when two letters picked without replacement from {k: 1, p: 3, y: 1, i: 3, g: 1, v: 6}?
1/35
Two letters picked without replacement from pccpfppccpfppcp. Give prob of picking 2 c.
2/21
What is prob of picking 1 l, 1 b, and 1 m when three letters picked without replacement from hlhbhhhhhlmlmlblhmhh?
1/38
What is prob of picking 1 c and 1 t when two letters picked without replacement from {c: 2, m: 2, t: 3, n: 2}?
1/6
Calculate prob of picking 2 h when two letters picked without replacement from {h: 6}.
1
What is prob of picking 1 t and 1 y when two letters picked without replacement from ypppyppqtyyo?
2/33
Two letters picked without replacement from ettaeateet. Give prob of picking 2 t.
2/15
What is prob of picking 2 v when two letters picked without replacement from vvvvvvgvvvvvv?
11/13
What is prob of picking 2 d when two letters picked without replacement from wwwdwwwwwwwwwdwwww?
1/153
What is prob of picking 1 f, 1 k, and 2 y when four letters picked without replacement from zfyfkzyfkfyfkff?
3/65
What is prob of picking 1 t and 1 o when two letters picked without replacement from {w: 1, n: 4, o: 1, d: 4, t: 6}?
1/20
Calculate prob of picking 3 u and 1 l when four letters picked without replacement from uujlujljljjjljjl.
1/364
What is prob of picking 1 d and 1 n when two letters picked without replacement from {n: 2, y: 1, t: 3, d: 1}?
2/21
Calculate prob of picking 4 e when four letters picked without replacement from oooqeooneeoqlooee.
1/476
Calculate prob of picking 1 n and 1 r when two letters picked without replacement from wnnnrrjwnwtnwwnww.
3/34
What is prob of picking 1 z, 1 t, and 1 d when three letters picked without replacement from sdzdzkstzzzszkztdzz?
18/323
Two letters picked without replacement from {i: 2, d: 3, m: 2, a: 5, b: 6}. What is prob of picking 2 b?
5/51
Three letters picked without replacement from {t: 4, c: 1, e: 4, x: 1}. Give prob of picking 1 c, 1 e, and 1 x.
1/30
Calculate prob of picking 1 c and 2 j when three letters picked without replacement from {c: 6, j: 6}.
9/22
Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrrrr.
1
What is prob of picking 1 h and 2 r when three letters picked without replacement from xrggttttthxtr
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(99) + 3*sqrt(99))) + 2)**2.
-651*sqrt(11) + 3873
Simplify ((sqrt(88)*-2*-5 + (-1*sqrt(88) + sqrt(88))*-6)/(sqrt(288)*4 + sqrt(64)/(sqrt(8)*2)))**2.
4400/2401
Simplify -1 + ((sqrt(605) - -2*sqrt(605)*3) + 2*sqrt(605) + -2 - ((-2*(sqrt(30)/sqrt(2) + sqrt(15)))/sqrt(3) + 6*(sqrt(5) + -1) + 4)).
-1 + 97*sqrt(5)
Simplify (5*(-3 + -4*-6*sqrt(171)*3) + 3)**2 + -5.
-25920*sqrt(19) + 22161739
Simplify 4*((1*2*(sqrt(1053) - (1 + sqrt(1053) - sqrt(1053))))**2 + (sqrt(156)*2*3)/(sqrt(12) + sqrt(12)*2*-5)).
-872*sqrt(13)/3 + 16864
Simplify (1*(sqrt(1225) - (sqrt(1225) - sqrt(1225)*4)))/(-4*(sqrt(175) + sqrt(7)) + sqrt(7) - (sqrt(7) + sqrt(14)/sqrt(2)*2)).
-10*sqrt(7)/13
Simplify 5*(sqrt(720) - (-1*sqrt(720))**2)*-2 + ((1*sqrt(6000) - sqrt(6000) - sqrt(6000) - sqrt(6000))/((1*sqrt(108))/sqrt(9)))**2 + 3.
-120*sqrt(5) + 9203
Simplify sqrt(104)/sqrt(2) + sqrt(13) - (-1 + sqrt(208))**2 - (4 + (sqrt(468) + 5 + 5)**2).
-781 - 109*sqrt(13)
Simplify (sqrt(40)/(sqrt(8)*-3) - sqrt(60)/(sqrt(72)/sqrt(6)) - 2*(2*(-2*sqrt(80) - sqrt(80)) + sqrt(80)))**2*1.
67280/9
Simplify 1*((sqrt(7) + sqrt(7) + 3*(sqrt(42)/sqrt(6) - sqrt(7)))**2*-3 + -2 + (1*-2*sqrt(84))/(sqrt(36)/sqrt(3)*-4)).
-86 + sqrt(7)/2
Simplify -2*(-1 + -1 + 2 + sqrt(1573) + (sqrt(1573) + sqrt(1573)*1)**2 + 4 + sqrt(1573) + -5).
-12582 - 44*sqrt(13)
Simplify -6*(-1*sqrt(68) - sqrt(68))/sqrt(4)*1 - (sqrt(17)*-5 + 4 + (sqrt(612)*5)**2).
-15304 + 17*sqrt(17)
Simplify (1 + 0 + (-4*(sqrt(17) + 1) - (sqrt(612) + -1)**2) + ((sqrt(102)/sqrt(6)*1)**2 - (-4 + sqrt(68)/sqrt(4) + sqrt(17))))*4.
-2380 + 24*sqrt(17)
Simplify (1*(sqrt(209)*-4 + sqrt(209))*-6)/(sqrt(5324) - -1*sqrt(5324)).
9*sqrt(19)/22
Simplify -1 + ((-1 + sqrt(275))*1 + -5)**2 - (4 + (1 + sqrt(1100))**2*-1 + (-2*sqrt(1100) - sqrt(1100) - sqrt(1100)) + -2).
1409
Simplify sqrt(6)/(sqrt(6)/(sqrt(2)*-1)) - sqrt(12)/(5*sqrt(6)*-1 + sqrt(6)) - ((-4 + (sqrt(2) + sqrt(8))**2)*-4 - sqrt(16)/(1*sqrt(800))).
-13*sqrt(2)/20 + 56
Simplify (sqrt(76) + 2*sqrt(76)*-3)/(2*sqrt(20)/sqrt(5)) + ((3*1*sqrt(1539))**2 - 5*sqrt(209)/sqrt(99)).
-25*sqrt(19)/6 + 13851
Simplify 1*((1*(-2*sqrt(605) - sqrt(605)))**2*5 - (-3 + sqrt(605)*3 + 5))*1.
-33*sqrt(5) + 27223
Simplify ((sqrt(816) - sqrt(816)*2)/(sqrt(9)/(2*sqrt(3))) + -2*(-3*-1*sqrt(17) + (2*sqrt(85))/sqrt(5)))**2.
5508
Simplify (4 + (sqrt(847) - (-1 + sqrt(847))) + 4*(sqrt(847) - 2*sqrt(847) - sqrt(847)))**2 + (sqrt(49) - (-6*sqrt(49)*-1 + sqrt(49)))/((sqrt(77)*2)/sqrt(11)).
-883*sqrt(7) + 54233
Simplify (5 + (0 + sqrt(1584))**2 + 0 + ((2*sqrt(1584) + 2 + sqrt(1584))*-3)**2)*6 + -2.
7776*sqrt(11) + 779572
Simplify ((sqrt(104) + -3*(sqrt(104) - (sqrt(104) + -1*sqrt(104))))*-2*-5)/((2*sqrt(96)*6 + sqrt(96))/(sqrt(588) + 1*sqrt(588))).
-280*sqrt(13)/13
Simplify (sqrt(88) + sqrt(88) + 2*(sqrt(88)*-2 + sqrt(88)) - ((sqrt(88) + (2*sqrt(88) - sqrt(88)))*-1 - sqrt(88)))/(6*6*(sqrt(192)/sqrt(4))/sqrt(6)).
sqrt(11)/12
Simplify sqrt(77)/(sqrt(77)/sqrt(7)*-6) + -2 + 1*(-4 + sqrt(7) + -1*sqrt(7) - (2*sqrt(42))/sqrt(6)).
-6 - 13*sqrt(7)/6
Simplify (((-1 + sqrt(2736)*1)*-1 + 3 - ((sqrt(2736) + -2)*6 + sqrt(2736)*-1 + -1))*-4)**2.
-39168*sqrt(19) + 1580560
Simplify (-5 + (2 + 1*sqrt(1792)*-1 - (sqrt(1792)*1*-4 + (sqrt(1792) - -1*sqrt(1792)*1))))*-6.
-96*sqrt(7) + 18
Simplify (sqrt(475) + 1)*4 - 5*(1*sqrt(475) + sqrt(475))**2 - 2*((2*sqrt(76)*6 - sqrt(76))/(-4*sqrt(12)/sqrt(3) - sqrt(4)))**2.
-241998/25 + 20*sqrt(19)
Simplify ((sqrt(1600)*2 + sqrt(1600))/(sqrt(56)/(sqrt(21)/sqrt(3))) + -1 - (sqrt(72)*4 + 2 + sqrt(4)/sqrt(2) + -3))**2.
50
Simplify -1 + (2*(1 + ((sqrt(19) + -1 + 4 - (sqrt(2736) - sqrt(2736)*1 - sqrt(2736))) + 0)*-3))**2.
2496*sqrt(19) + 115851
Simplify (1 + sqrt(539) + sqrt(539) + 0)**2*-1 + (sqrt(11) - sqrt(176)*1) + (sqrt(66) + -2*sqrt(66))/sqrt(6).
-2157 - 32*sqrt(11)
Simplify -2*(-1*(-1*sqrt(88))/sqrt(11)*-2)/((sqrt(1728)*-2)/(sqrt(18)/(sqrt(12)/sqrt(2)))).
-sqrt(2)/6
Simplify ((sqrt(2695) + sqrt(2695) + sqrt(2695) + 2*sqrt(2695) - sqrt(1375)*5)/(sqrt(1100) + (sqrt(44)/sqrt(4) + sqrt(11))*-1))**2*-3.
-375/16
Simplify (((4*(sqrt(70)*1 - sqrt(70)) - -3*1*sqrt(70))*-6)/(1*sqrt(40) - (sqrt(10) + (sqrt(10) - -2*-2*sqrt(10) - sqrt(10)))))**2.
2268/25
Simplify (1 + 1 + ((4 + sqrt(192)*1 - (-1 + sqrt(192)*2))*4 - (-3*(1 + sqrt(192) + sqrt(192)) + -2 + -4)))**2.
992*sqrt(3) + 1729
Simplify (sqrt(136) + -1*sqrt(136)*-2 + sqrt(136))/(-6*(sqrt(8)*-1 - sqrt(8)) - sqrt(8))*-1 - (sqrt(153)*2*5)/(sqrt(9)*-2*-1).
-59*sqrt(17)/11
Simplify (sqrt(209) + -2*(sqrt(209) + 4*sqrt(209)) - sqrt(209) - sqrt(209) - (sqrt(209)*3 + sqrt(209))*-5)/(-2*(sqrt(891) - sqrt(891)*2)*-2) + 4.
-sqrt(19)/4 + 4
Simplify 0 + (0 + -4*(2 + sqrt(68)) - (sqrt(68) + -1 + sqrt(68) + -1 + (sqrt(68) + sqrt(68) + 0 + 5 - sqrt(68)) + sqrt(68)))**2.
352*sqrt(17) + 4473
Simplify -5*((2*sqrt(180) + (sqrt(180)*5 + sqrt(180) - sqrt(5)) + -1)**2 + -4).
-55210 + 470*sqrt(5)
Simplify -4 + 3 + (-4*((sqrt(448) - (sqrt(448) + 3 + sqrt(448) + 2)) + sqrt(448) - (-2 + sqrt(448))*1))**2 + -1.
768*sqrt(7) + 7310
Simplify 4 + ((4 + sqrt(76))**2 - (0 + (sqrt(171))**2) - (sqrt(171)/(sqrt(36)/sqrt(4)) - sqrt(228)/(sqrt(60)/sqrt(5) + sqrt(12)))).
-75 + 31*sqrt(19)/2
Simplify (6*(-4 + (-4 + 4 + sqrt(17) + sqrt(17) + 1 + 2*sqrt(17) + 4)*-6) + -2)**2 + 2.
59328*sqrt(17) + 394950
Simplify 5 + -4*(1 + 2 + (sqrt(128) + -3*(sqrt(128) + sqrt(128) + -1 + sqrt(128)))**2)*-3*4.
-18432*sqrt(2) + 393797
Simplify (-2 + (-2*sqrt(68) + -1 - sqrt(68)))**2 - (-3 + (sqrt(68) - sqrt(68)*-3*4)**2).
-10868 + 36*sqrt(17)
Simplify (sqrt(8064) + sqrt(8064)*1)/(sqrt(1152) + sqrt(1152)*-2) - (sqrt(77) - (sqrt(77) - 6*(sqrt(77) + -1*sqrt(77))) - sqrt(77))/(sqrt(396) - sqrt(396)*-2).
-35*sqrt(7)/18
Simplify (3*(-3*(sqrt(315)/sqrt(5) + sqrt(63)) - 2*sqrt(5103)))/(-6*(sqrt(324)*-2 - 1*sqrt(144))).
-3*sqrt(7)/4
Simplify -3 + ((1 + (sqrt(18) - sqrt(2)))*-4)**2 - 2*(sqrt(18)/(sqrt(9) + (sqrt(9) - sqrt(99)/(sqrt(11)*4 - sqrt(11)))))**2.
64*sqrt(2) + 3489/25
Simplify (2*(sqrt(95) - (-6*sqrt(95)*1 - sqrt(95)))*-5)/(-5*sqrt(20)/(sqrt(16)/(sqrt(4) + sqrt(12)/sqrt(3)) - sqrt(4))).
-8*sqrt(19)
Simplify (sqrt(104)/(sqrt(28)/sqrt(7)*2 + sqrt(4)))/(sqrt(64)/sqrt(128)) + -1.
-1 + 2*sqrt(13)/3
Simplify ((5*(2*sqrt(156) - sqrt(156)) - 3*(sqrt(156)*-2 + sqrt(156) + sqrt(156)))*-4)/(sqrt(972) + (sqrt(972) - -2*sqrt(972)) - (2*sqrt(132))/sqrt(11)).
-10*sqrt(13)/17
Simplify ((1*sqrt(637) - (sqrt(13) - sqrt(117)*-3))**2 - ((sqrt(1573) + -2 + sqrt(1573))**2 - ((1 + sqrt(13) + -1)**2 + sqrt(13)))) + -1.
-6167 + 89*sqrt(13)
Simplify (-3 + 4 + 0 + sqrt(117) + -5*1*sqrt(117)*5)**2*5*-6.
-2021790 + 4320*sqrt(13)
Simplify (sqrt(44)/(sqrt(55)/sqrt(5)) - -2*sqrt(4)*2)/(sqrt(50) - (4*sqrt(2450) - sqrt(2450))) + -3.
-3 - sqrt(2)/20
Simplify (-3*-6*3*(3*sqrt(425) + -2) + 5)**2 + 2 + 0.
-166860*sqrt(17) + 11164311
Simplify 5*(-1*(2 + sqrt(2))*-5 - (sqrt(2) + sqrt(98) + 1 + 2))**2*4 + 2.
-840*sqrt(2) + 1342
Simplify -1 + ((sqrt(49)/(sqrt(315)/sqrt(5)) - (sqrt(28) - sqrt(112) - sqrt(28))/sqrt(4)*4)*6)**2.
17499
Simplify 5*(sqrt(1331) + -1 + sqrt(1331) + 1 + sqrt(1331) - 3*-1*sqrt(1331))**2 - (-2*(2 + 2*sqrt(1331) + -3 + sqrt(1331)*-2))**2.
239576
Simplify (-1 + (sqrt(128) + 1)*3 + -2 + 4 + -5*(sqrt(128) + (sqrt(128) + (sqrt(128) - sqrt(128)*1 - sqrt(128)) + sqrt(128))*5))**2.
-1728*sqrt(2) + 93328
Simplify 4*(2 + 5 + sqrt(272) + sqrt(272) + 0 + -1 + 6*(5 + -1 + sqrt(272)))**2 + -2.
7680*sqrt(17) + 73230
Simplify (6*(sqrt(931) - (2 + sqrt(931))) + sqrt(931) + (sqrt(931)*2 + sqrt(931) + sqrt(931) + 5 - sqrt(931)))**2 - 1*((sqrt(133)*3*4)/sqrt(7))**2.
-392*sqrt(19) + 12209
Simplify -1 + ((-2 + (sqrt(1700) - 1*sqrt(1700)) + sqrt(1700) + (sqrt(1700) + 1)*6 + 1*(-5 + sqrt(1700) + 0 - sqrt(1700) - sqrt(1700)))*1)**2 + -1.
-120*sqrt(17) + 61199
Simplify 1*(6*sqrt(567)*2*-2)/((sqrt(9) + sqrt(225))*-3 - sqrt(9) - sqrt(90)/(sqrt(50)/sqrt(5))).
18*sqrt(7)/5
Simplify (-2 + ((sqrt(684) + 2 - sqrt(684)) + 3 - sqrt(684)))**2 + -3*1*sqrt(304) + (sqrt(304) + 0)*3.
-36*sqrt(19) + 693
Simplify -2*(-4 + sqrt(612)*2 + 1 + sqrt(204)/(sqrt(12)*1))**2*-1.
-156*sqrt(17) + 5764
Simplify (-2*-6*sqrt(104)*1*-1)/((3*(sqrt(56) + sqrt(56)*1 + sqrt(56)))/(sqrt(7) - (sqrt(7) + 6*sqrt(28) + sqrt(7)) - sqrt(7)))*3.
56*sqrt(13)
Simplify -4 + (-2 + (((sqrt(156) + 2*sqrt(156))/sqrt(4))/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
.
2
Let g(l) = -l**2 - l + 3. Let i be g(0). What are the prime factors of 4 - 8*i*-2?
2, 13
Let o(y) = -19*y - 14. What are the prime factors of o(-6)?
2, 5
Let z(a) be the first derivative of 2*a**2 + 3*a - 2. What are the prime factors of z(3)?
3, 5
Suppose -5*s + 43 = -172. Suppose -5*u + 7 + s = 0. What are the prime factors of u?
2, 5
Suppose o - 234 = -4*o + 2*u, 2*u = o - 42. List the prime factors of o.
2, 3
Let a be ((-16)/(-10))/((-2)/(-5)). Let u be (-1*3)/((-2)/a). Suppose k - 2 = u. List the prime factors of k.
2
Let n(l) = -6*l + 10. Let r be n(-15). Suppose -16*z + r = -12*z. List the prime factors of z.
5
Suppose -2*d + 10 = n, 0 = d - 0*n + 4*n - 19. Suppose -d*h = -2*h - 7. What are the prime factors of h?
7
Let y be (-3 - -38)*6/(-15). Let p be 26 + (-2 + 2)/(-2). Let u = y + p. List the prime factors of u.
2, 3
Let g = -8 - -12. Suppose -g*w = 7 - 27. What are the prime factors of w?
5
Suppose 16 = -t + 6. List the prime factors of (-21)/(-35) - 54/t.
2, 3
Let z = 233 + -135. What are the prime factors of z?
2, 7
Suppose 0 = -3*k - 0*k + 42. Suppose 2*h - k = 10. What are the prime factors of h?
2, 3
Let r = -120 - -232. What are the prime factors of r?
2, 7
What are the prime factors of (3 + -1)*(11 - -2)?
2, 13
Let t = -25 + 60. Let d be (-1)/(-2 + t/18). Suppose -4*n - d = -5*n. List the prime factors of n.
2, 3
Let k be (-66)/(-10) + 4/10. Let h(t) = t**3 - 7*t**2 - t + 10. What are the prime factors of h(k)?
3
Let b = 10 - -2. Let j = 29 - b. What are the prime factors of j?
17
Let b(j) be the third derivative of j**6/24 - j**5/30 + j**4/12 - j**3/6 + j**2. Let o be b(1). Suppose 0 = -o*w + 12 + 8. What are the prime factors of w?
5
Suppose -1974 = -7*c - 0*c. List the prime factors of c.
2, 3, 47
What are the prime factors of 145/4 - 9/(-12)?
37
Let l(p) = p - 5. Let s be l(8). Suppose s*c = -c + 32. List the prime factors of c.
2
Let u(o) be the third derivative of o**4/12 - o**3/2 - 2*o**2. What are the prime factors of u(5)?
7
Let y = 2 + 0. Suppose 5*f + y*j - 6*j = 90, 4*f = -2*j + 46. List the prime factors of f.
2, 7
Suppose -4*h + 3*n + 268 = -2*n, -4*h = -4*n - 264. Let z be (-4)/6 + h/(-6). Let p = 20 + z. What are the prime factors of p?
3
Suppose -i + 24 = 60. Suppose 16*h - 92 = 20*h. Let d = h - i. What are the prime factors of d?
13
Let s(k) = -k**3 - 8*k**2 + 9*k + 7. List the prime factors of s(-9).
7
Let g be 6/24 + (-214)/(-8). Let r = -19 + g. What are the prime factors of r?
2
Let j(g) = 6*g**3 - 2*g + 1. Let l be j(1). Suppose l*y = -0*t + 3*t + 25, 4*y = 2*t + 18. List the prime factors of y.
2
Suppose -3*t = -26 + 8. Let a(c) = -c**3 + 6*c**2 + 4*c - 6. Let r be a(t). Let l = r - 9. List the prime factors of l.
3
Suppose 3*z + 45 = 4*n - 7, -n - 22 = z. List the prime factors of (z + 2)/((-6)/4).
2, 3
Let r = 356 + -228. What are the prime factors of r?
2
What are the prime factors of (-3)/(4 - -5)*-33?
11
Let l = 6 + -6. Suppose l = 4*u - 4*o - 20, -4*u = u + 2*o - 39. What are the prime factors of u?
7
What are the prime factors of (-1 - -2)*(-2 + 185)?
3, 61
Let x(z) = 6*z - 16. Let i be x(12). List the prime factors of i/(-16)*(0 - 2).
7
Let g(o) = -4*o**2 + 3*o - 4. Let c be g(3). Let a = 43 + c. What are the prime factors of a?
2, 3
Suppose p = k - 220, k + 2*p = -74 + 306. List the prime factors of k.
2, 7
Let n be (-1 + 3)*(-172)/8. Let o = n + 23. Let v = 31 + o. What are the prime factors of v?
11
Suppose 2*z = 4 + 16. Let n = 0 + z. Let d = -7 + n. List the prime factors of d.
3
Let a(b) = -4*b**2 - 25*b - 14. Let g(o) = 2*o**2 + 13*o + 7. Let u(n) = -3*a(n) - 5*g(n). What are the prime factors of u(-6)?
19
Suppose 0 = -5*v + 25, t - 4*t + 3*v + 240 = 0. List the prime factors of t.
5, 17
Suppose -5*z = -20, 2*z = 2*h - 2*z + 14. Let v(d) = d + 1. Let m be v(h). Suppose -m + 17 = 5*o. List the prime factors of o.
3
Let u(q) = -15*q**3 - 3*q**2 + 2. Let m be u(1). Let g = m - -30. What are the prime factors of g?
2, 7
Suppose -a + 4*t = -4*a + 117, -2*a - t + 78 = 0. What are the prime factors of a?
3, 13
Let i(r) = -r**2 - 6*r + 5. Let o be i(-7). Let y be 0 + (-18)/4*o. Suppose -y - 7 = -4*a. List the prime factors of a.
2
Let p = 3 - -26. Let r = p + -8. What are the prime factors of r?
3, 7
Let h(c) = 15*c**2 - 4*c - 8*c**2 - 3 - 2*c**2. What are the prime factors of h(-3)?
2, 3
List the prime factors of 286/(4 + -2) - (-7 + 7).
11, 13
Let m(x) = x**2 + 7*x - 8. Let h be m(-8). Suppose -j + 5*c + 29 = h, -2*j - 2*c = 3*j - 226. Suppose -4 + j = 5*z. What are the prime factors of z?
2
Suppose 135 = 6*t - t. Let y = 6 + t. List the prime factors of y.
3, 11
What are the prime factors of 8/(-3)*(-219)/4?
2, 73
Let b(i) = -i**3 + 10*i**2 - 9*i + 4. Let n be b(9). Suppose 11 - 47 = -n*v. What are the prime factors of -3*(2 + v/(-3))?
3
Let a = 6 + 2. Let y(s) = s**3 - 9*s**2 + 10*s + 10. List the prime factors of y(a).
2, 13
Let r(a) = -3*a. Let q be -5 + (1 + 0)*1. List the prime factors of r(q).
2, 3
Let z be (17 + -7)/((-4)/2). Let m = z - -14. List the prime factors of m.
3
Suppose 0 = -2*p + 2*m - 3*m + 14, 4*p - 5*m - 56 = 0. Let o = p - 4. Suppose -23 = -3*x - o*a, 2*a - a = -2. List the prime factors of x.
11
Let u(h) = -13*h + 1. Let q(m) = m. Let o(a) = 8*a - 1. Let n(v) = o(v) + 6*q(v). Let w(r) = -6*n(r) - 7*u(r). List the prime factors of w(1).
2, 3
Let b be ((-1)/(-3))/(3/9). Let t be b*2/1 - 3. List the prime factors of (1 - (-1)/t) + 11.
11
Let d(y) = -y**2 + 11*y - 10. Let v = -11 - -1. Let f(t) = t**3 + 10*t**2 - t - 2. Let q be f(v). What are the prime factors of d(q)?
2, 7
Let k(a) = 2*a**3 - 3*a**2 - 3*a + 6. List the prime factors of k(4).
2, 37
Let b be (-2)/(((-8)/6)/(-2)). Let p(l) be the third derivative of l**5/60 - 4*l**2. List the prime factors of p(b).
3
Let b(p) = -p**3 + 13*p**2 - 11*p. What are the prime factors of b(12)?
2, 3
Let g(l) = 8 - 8 - 7*l + 2*l**2. What are the prime factors of g(5)?
3, 5
Suppose -16*d - 6*d + 2882 = 0. List the prime factors of d.
131
Let n(b) = 3*b - 3. What are the prime factors of n(10)?
3
Let i(m) = m**3 - 8*m**2 + m + 8. Suppose -5*b + b = -32. List the prime factors of i(b).
2
Let o(c) = c**2 - 2*c - 4. Let x be o(3). Let k = 15 - x. List the prime factors of k.
2
Suppose 0 = 4*x - a + 61, -2*a = 4*x - a + 51. Let o = -5 - x. List the prime factors of o.
3
Suppose -t - 2 = -11. List the prime factors of (3/t)/((-2)/(-246)).
41
Let r be (-1 + -47)*(-1)/(-2). Let j be r/(-3) - (0 - 0). Suppose j + 3 = 5*w + x, w + 13 = -4*x. List the prime factors of w.
3
Let l = 2 + 1. Let r be -1 + l/(-3) + 5. Let d = r - 1. List the prime factors of d.
2
Suppose -5*v = -7*v - 16. Let g = 1 + v. What are the prime factors of 4/(-14) + (-107)/g?
3, 5
Let n(o) = o + 3. Suppose 5 = -3*q - 4. Let r be n(q). Suppose -39 = -5*g + 4*c, -g - 4*c + 3 = -r*c. List the prime factors of g.
7
Let i(g) = g**2 - g + 3. Let f be ((-8)/5)/(2/(-5)). Let r be i(f). Suppose r = d + 4*d. List the prime factors of d.
3
Let z = 276 - 142. Suppose 2*v + 106 = -z. List the prime factors of 2/10 + v/(-25).
5
Let s be (-17 + -1)*(-5)/(-2). Let q = s - -76. List the prime factors of q.
31
Let v = -314 - -546. What are the prime factors of v?
2, 29
Let h = -12 - -19. Let m = h + -15. List the prime factors of (m/(-20))/(2/10).
2
Let w(c) = c**3 - 4*c**2 + 5*c + 8. What are the prime factors of w(5)?
2, 29
Suppose -4*u + 30 = 5*l, 5*u - 4*l - 28 + 11 = 0. Let i = 18 - u. List the prime factors of i.
13
Let l be 0 + 1 + (-9)/3. Let w be -23 - (2/l)/(-1). Let p = -12 - w. What are the prime factors of p?
2, 3
Suppose 4*a = 68 + 12. List the prime factors of a.
2, 5
Let n(p) = -16. Let o(x) = x + 47. Let f(w) = -17*n(w) - 6*o(w). What are the prime factors of f(-4)?
2, 7
Suppose -x + 33 + 96 = 0. What are the prime factors of x?
3, 43
Suppose -2*b + 68 = -32. Suppose 0 = -8*k + 3*k + b. What are the prime factors of k?
2, 5
Suppose -3*d + v + 10 = 0, 3*d - 2*v + 3*v = 14. Suppose 2*z = -3*c + 37, -4*z + 3*c = d*c - 59. What are the prime factors of z?
2, 7
Let g(r) be the third derivative of -r**5/60 + 5*r**4/24 + r**3/3 + r**2. Let x be g(7). Let d = x + 28. List the prime factors of d.
2
Let r be 2/(0 - 2) + -1. Let g = 10 + 0. Let o = g + r. List the prime fa
|
{
"pile_set_name": "DM Mathematics"
}
|
+ l. Calculate the greatest common divisor of 90 and k.
30
Suppose 0 = -f + 3*r + 32 + 6, 4*f - 120 = -4*r. Calculate the greatest common factor of f and 4.
4
Let v(g) = -9*g - 35. Let a be v(-7). What is the greatest common divisor of 98 and a?
14
Let r = 27 - 39. Let h = 10 - r. Let i = -13 + 24. Calculate the highest common divisor of h and i.
11
Let w = 29 - 20. Let t(u) = -u**2 + 9*u + 5. Let q be t(w). Calculate the highest common divisor of 35 and q.
5
Let b be ((-50)/(-15))/(2/15) - -1. Let j = 281 - 99. Calculate the highest common factor of j and b.
26
Suppose 0 = 3*n - 6, -g - 2*n + 4*n = -18. Let s = 31 - g. Let l(j) = j**2 + 3*j + 12. Let z be l(s). Calculate the greatest common divisor of z and 12.
12
Suppose 0 = 2*l + 3*l - 4*y, 0 = 4*l - 3*y - 1. Suppose -g - l*w = -10, -g - 46 = -2*g + 5*w. What is the greatest common divisor of g and 13?
13
Let x = -19 - -7. Let y be (-512)/x - 4/6. What is the greatest common divisor of y and 7?
7
Suppose -3*o - 4*a - 16 + 73 = 0, 0 = 2*o - a - 49. Let j be o + (0/3)/(-3). Suppose -2*h = -41 - 5. What is the highest common divisor of j and h?
23
Suppose 2*i - 2162 = -4*x, 2*i + 1069 = 2*x - i. Calculate the highest common factor of 49 and x.
49
Let n = 43 + -34. Let f be 313/5 + 2/5. Calculate the greatest common divisor of f and n.
9
Suppose -2*p = 3*p - 30. Let u(l) = 5*l + 2. Let v be u(p). What is the highest common divisor of 80 and v?
16
Let o(h) = -13*h. Let i be o(-11). Let f be (2/5)/(1/5). Let z be f*((-78)/4)/(-3). What is the greatest common factor of i and z?
13
Let i(m) = m**3 - m**2 - m + 145. Let h be i(0). What is the highest common divisor of h and 58?
29
Suppose -5*m + g = -94, 0 = m + 3*g - 25 + 3. Calculate the greatest common factor of 95 and m.
19
Suppose -8*s + 9*s = 21. Calculate the highest common factor of 28 and s.
7
Suppose -4*n + 32 = -2*g - 154, 48 = n - 2*g. What is the highest common divisor of n and 115?
23
Suppose 3*l - 40 - 50 = 0. Let b = 22 + -12. What is the highest common factor of b and l?
10
Suppose 2*t = -4*x + 1 + 1, t - 9 = 2*x. Let u be x/(-8) + (-46)/(-8). Suppose 2*j - u*j = -168. Calculate the greatest common divisor of j and 6.
6
Suppose -r - 11 = -k, -3*r - 14 - 27 = -4*k. Suppose 9*o = 13*o - 352. Calculate the greatest common divisor of k and o.
8
Suppose i - 180 = -3*u, 9*u = 4*u - 5*i + 300. Calculate the greatest common factor of u and 40.
20
Let m = -387 - -552. Calculate the greatest common divisor of 15 and m.
15
Let v be (-129 - (-4)/4)/(-1). What is the greatest common divisor of v and 16?
16
Suppose -2*j + 5*j = 6. Suppose 325 - 20 = 5*i - 5*z, -3*z = j*i - 97. Calculate the highest common divisor of i and 14.
14
Let w(u) = -3*u**2 + 4*u**2 + 2 + 7*u - 4*u - 2*u. Let j be w(-4). What is the greatest common factor of 126 and j?
14
Suppose -928 = 4*a - 988. Let d be 14/3 + 4/(-6). Suppose b = -d*o + 25, o - b - 10 = -5*b. What is the highest common divisor of a and o?
3
Suppose 8*s - 6*s + 5*c - 3 = 0, 2*c = -6. Calculate the highest common divisor of 99 and s.
9
Let j(t) = -17*t**3 + 1. Let f be j(-1). Let v be -1 - (4/2 - 2). Let z = 8 - v. What is the greatest common divisor of z and f?
9
Suppose 0 = 3*b + 4*m - 19, 4*m + 0*m - 13 = 3*b. Let c = 18 + -34. Let v = c + 27. What is the greatest common factor of b and v?
1
Suppose -22*t + 19*t + 162 = -3*y, -5*t = 3*y - 254. Let p(d) = -32*d + 2. Let g be p(-4). What is the greatest common factor of t and g?
26
Suppose 0 = 5*k + 5*i - 185, 6*i - 5*i + 95 = 3*k. Calculate the highest common factor of 11 and k.
11
Let r(b) = 2*b**2 + 11*b - 4. Let i(t) = t - 2. Let d be i(-6). Let x be r(d). Calculate the highest common factor of 24 and x.
12
Let l(g) = -g**3 - 2*g**2 + g - 4. Let i be l(-3). Let c(y) = -i - 22*y + 1 - 11*y. Let o be c(-2). What is the greatest common divisor of o and 26?
13
Let r(n) = -n**3 - 2*n**2 + 2*n + 2. Let s be r(-4). Let f = 62 - s. What is the greatest common factor of f and 12?
12
Let b = -202 - -287. What is the highest common factor of 51 and b?
17
Let z(q) = -q**2 - 2*q + 3. Let w be z(-3). Suppose 2*v - 8 = -h, 3 = -w*h + 3*h - v. What is the greatest common factor of 5 and h?
1
Suppose -4*p + 15 + 33 = 0. Let c = 6 - 8. Let q be 6/(c*1/(-16)). What is the highest common divisor of p and q?
12
Let s = 4 + 2. Let g be 791/s + 6/36. What is the greatest common factor of g and 12?
12
Let s be (-2)/8 - 663/4. Let l be (-4)/18 - s/18. Suppose 0 = -4*o - 2*w + 42, o - 3 = w + 3. Calculate the highest common factor of o and l.
9
Let l = -19 + 41. What is the greatest common divisor of 2 and l?
2
Suppose 0 = 5*o + 5*s - 55, -5 = -3*o - 2*s + 29. Let h(m) = -m**3 + 5*m - 4. Let x be h(-5). Calculate the highest common divisor of x and o.
12
Suppose -2*q + 22 = 3*w, 0 = -4*w - 0*w - 4*q + 36. Suppose 7*u = w*u + 162. Calculate the highest common factor of u and 18.
18
Let a = -137 - -156. Calculate the greatest common factor of a and 57.
19
Let f = -15 - -15. Suppose f = -w + 1 - 6, -4*w + 116 = 4*z. Calculate the greatest common factor of 17 and z.
17
Let n = 23 + -14. Let x = 8 - 22. Let q = 31 - x. What is the highest common divisor of q and n?
9
Let y(p) = 2*p**2 - 7*p - 1. Suppose 2*n - n = 7. Let i be y(n). Let h = 42 - 26. Calculate the greatest common divisor of i and h.
16
Let l(m) = -2*m**2 - 27*m - 28. Let z be l(-10). Calculate the greatest common divisor of z and 105.
21
Let u = 0 - -16. Suppose 3*c = -c + 40. Let q be (u/5)/(2/c). What is the highest common divisor of q and 40?
8
Suppose 2*d - 3 = -2*l + 21, d = 0. What is the highest common divisor of 3 and l?
3
Let y be 3/(-6) + (-37)/(-2). Calculate the highest common divisor of y and 72.
18
Suppose 6*p + 714 = 13*p. Calculate the greatest common divisor of 34 and p.
34
Let r be 3/(-6)*1*-4. Let j(v) = -2 + v**3 - 2*v**2 - 4 - 6*v - 2*v**r. Let a be j(6). What is the greatest common divisor of a and 75?
15
Let w(k) = 5*k**3 + 2*k**2 - 2*k - 1. Let b be w(-2). Let y = b - -61. Calculate the highest common divisor of 4 and y.
4
Let z(w) = -w**2 - 7*w + 2. Let s be z(-6). Let h be -3 + 3 - (-3 - 1). What is the highest common factor of h and s?
4
Let s(v) = 29*v**2 - 7*v - 3. Let o be s(2). What is the greatest common factor of 66 and o?
33
Let w be (0 + 2)/(0 + -2). Let q be (-4)/w - (-54)/1. Calculate the highest common divisor of 29 and q.
29
Let j(w) = -w + 6. Let s be j(6). Suppose s*o + 12 = 3*o. Suppose -5*m + 5 = -0*m. What is the greatest common divisor of o and m?
1
Let d(v) = 2*v**2 + 2*v. Let b be d(-6). Let h be 1/(-2)*-1*118. Suppose 37 + h = 4*y. Calculate the greatest common factor of y and b.
12
Let l = -5 - -10. Suppose -5*d = -4*g - 0*g + 61, -l*g - d = -40. What is the greatest common factor of g and 3?
3
Let f(z) = 360*z - 1. Let s be f(1). Let a be 9/54 - s/(-6). Calculate the highest common divisor of 12 and a.
12
Let h = -2 - -4. Suppose -8 - 6 = -h*q. What is the highest common divisor of 63 and q?
7
Let t(z) = 2*z**2 + 15*z - 18. Let j be t(-9). What is the highest common factor of 45 and j?
9
Suppose -29 = -5*j + 21. Suppose 2*v - 2 = -3*z, 0 = -3*v - z - 0 + j. What is the highest common factor of v and 4?
4
Let v = 48 - 21. Calculate the greatest common factor of 18 and v.
9
Suppose -6*v = -177 - 303. What is the highest common factor of v and 20?
20
Suppose 3*r + 2*u - 16 = 0, -r + 4*u - 12 = -2*r. Suppose 5*o - 10 = 0, 2*f - r*o - 44 = -0*o. Let n = 76 - 37. What is the highest common divisor of n and f?
13
Let r(h) = h**2 - 4*h - 5. Let g be r(7). Let q = -36 - -68. Calculate the highest common factor of q and g.
16
Let m(x) = x**2 + 4*x + 3. Let h be m(-1). Let o = 0 + 3. Suppose z + o*z + 4*q = 56, h = z - 2*q - 11. What is the greatest common divisor of 13 and z?
13
Let z = -22 - -46. Calculate the highest common divisor of z and 36.
12
Suppose -5*m = -1 + 6. Let f = 3 - m. What is the highest common factor of f and 4?
4
Let z = 97 - 43. Calculate the greatest common factor of z and 6.
6
Let v(y) = 14*y**2 - 6*y - 6. Let s(u) = -u**2 + 3*u + 6. Let x be s(5). Let r be v(x). What is the greatest common divisor of 22 and r?
22
Let s(q) = 5*q + 2. Let l be s(0). Calculate the highest common divisor of l and 10.
2
Suppose -435 = -4*p - 0*p + 3*s, p = 4*s + 125. Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
- 39*a = 17. Solve -4*q = -3*r + 9, -4*r = 4*q + r + o for q.
-3
Suppose 183*r = 201*r. Solve -3*c - 8 = -7*j + 3*j, 5*j + 4*c + 21 = r for j.
-1
Suppose -u + 48 = u. Suppose 0 = -4*q - 5*d + u, 3*d - 7 = -3*q + 8. Suppose 3*l - q - 5 = 0. Solve -2*g - 12 = -l*s, -2*s - s - 3*g = 0 for s.
3
Let q be -4 + (-6 - (-56 - 0)/4). Solve 8*g + 5*l + 35 = 3*g, 0 = 3*g - q*l for g.
-4
Let t = 162 - 159. Solve d - t*r = 6*d + 7, 0 = 4*d + 3*r + 5 for d.
-2
Suppose o - 2 + 4 = 0, 2*o = -5*u + 11. Suppose -3 = u*w - 27. Let f be w/36 - (-50)/18. Solve -2*l - 5 = f*r - 0, -2*r - 14 = -4*l for r.
-3
Let w = 91 - 87. Solve g - b - 1 = 0, -5 = -g - w*g + b for g.
1
Let r(p) = p - 11. Let m(s) = -4*s + 46. Let f(d) = -2*m(d) - 9*r(d). Let z be (2 + 1)*2 + 1. Let k be f(z). Solve k = 5*n, 3*i - 3*n = -i - 12 for i.
-3
Suppose 55*b - 100 = 65. Solve 3 = 2*i + b*c, -i + 4*c + 1 = 6*c for i.
3
Let w = 56 + -32. Suppose -5*k = -3*k + 2*t - w, 0 = 5*k - 4*t - 60. Let n be (-40)/k*(-12)/10. Solve -3*d - i + 2*i = n, -10 = 3*d + 2*i for d.
-2
Suppose -24*j - 63 = -45*j. Suppose 2*r - 33 = -9. Solve 3*o + 12 = 3*b + j, 4*o + 4*b + r = 0 for o.
-3
Suppose 3*l = -3*z + 210, 5*l = -0*l + 4*z + 350. Let k be 434/l - (-1)/(-5). Solve 3*p = -3*x + 3, x + p + 17 = k*p for x.
-2
Suppose 9*l - 19 - 17 = 0. Suppose 2*k + 4*m - l = 0, -19 = -4*k + m + 2*m. Solve k*u + 16 = 0, u + 29 = d + 4*d for d.
5
Suppose 0 = -10*y + 14 + 76. Suppose 2*a - y*a = -287. Suppose 0 = -2*r + 3*r. Solve -5*i = -4*w - a, r*i - 5*w = 3*i + 5 for i.
5
Let g(w) = w - 8. Let l be g(13). Suppose 0*u - l*u + 9 = d, 3*d + 4*u - 5 = 0. Let v be 0/(-2 - (-5 - d)). Solve 1 = -4*m + j, 0 = -5*m + j - v*j - 1 for m.
0
Suppose m + 3*h = -10 - 1, 2*m = 2*h + 18. Solve -20 = -4*z, -m*q + 3*z - 30 = z for q.
-5
Let h(y) = 2*y**2 - 7*y - 20. Let l be h(-2). Solve -5*m - 30 = -5*t, -l*t - 5*m - 28 = -5*t for t.
1
Let q(m) = -20*m + 124. Let l be q(6). Solve -2*a - l*o - 2 = 0, 6*o = -5*a + o + 5 for a.
3
Let r be (-1)/5 + (-55)/(-25). Let k be (-2)/((-5)/r + 2). Let c = 494 + -489. Solve -c*q + 12 = k*y, -2*y - 3*y = -4*q - 15 for y.
3
Let o be (-3)/(-7)*((-8)/(-2) - -3). Solve o*l = -3*y + 7*y, -3*l = -y for l.
0
Suppose -7*s = 1220 - 1234. Solve m = -d - s, -5*m + 30 = -4*d + 4 for m.
2
Let f(l) = -l**3 + 50*l**2 - 94*l - 94. Let m be f(48). Solve -5*b - x + 3 = 0, -16*x = -m*b - 12*x + 10 for b.
1
Suppose 2*r + r = 0. Let i(b) = b**3 + 3*b + 15. Let f be i(r). Solve -4*l = -y + f, -2*l - 1 = 2*y + 9 for y.
-1
Let s(t) = -3 - 3*t + 6*t - t**2 + t**3 + 0*t. Let z be s(2). Let p(y) = -2*y + 16. Let j be p(z). Solve -4*h = -5*g + 2, -4*g - 2*h = -8*g - j for g.
-2
Let v be 17 + -2 - (-2)/(-1). Suppose -3 = 5*d - v. Solve -5*c = 4*k + 13, 7*k - 20 = d*k + c for k.
3
Let k(h) = h**2 - 14*h + 1. Let r be k(14). Let v be (0 - r)*5*-3. Solve -v = -4*s + j, 3*s + s = 4*j for s.
5
Let r(v) = -v**2 - 3*v + 3. Let p be r(-3). Suppose -3*z + 8 + 4 = 0. Suppose 84 = -0*u + z*u. Solve -7*a + 11 = d - p*a, -d - u = -4*a for d.
-5
Let p(r) = 2*r + 14. Let h be p(-6). Let u = 49 - 28. Let d be 69/u - 2/7. Solve -4*m = -d*a + 15, -7 = -h*a + 3 for m.
0
Let b be 18/(-2) - 0 - 1. Let o = b - -12. Suppose -2*r = -2*k + 8, 0 = k + o*k + 2*r - 12. Solve -2*g = 5*l - 1, -3*l = k*g - 3*g for g.
3
Let f = 287 + -287. Solve 2*m - 3*u - 12 = f, 0*m = 5*m + 3*u + 12 for m.
0
Let x(n) = 2*n**2 - 6*n + 2. Let a be x(4). Solve 3*o - 3*p + 21 = 0, 4*o + 10*p + a = 5*p for o.
-5
Let r be 24/5 - 2/(-10). Suppose -173 = -3*f - r*n, 0 = 4*f - n - 19 - 204. Suppose f = 7*v - 3*v. Solve 2*b = -5*o - 16, -3*o - v = -3*b - o for b.
2
Let i be 1/(26/(-8) + 3). Let d = 26 - 5. Let m be i*(d/(-6) + 3). Solve 0 = 5*a - r - 2 + 1, 8 = m*r for a.
1
Suppose 7*w = -9 + 37. Let f be (-5 - (-1 - -1))*-1. Solve 2 + 6 = w*h, -f*h + 10 = r for r.
0
Suppose k + 78 = -5*k. Let y = k - -17. Solve -8 = -h - v + y*v, -3*v - 20 = 2*h for h.
-4
Let q(m) = 2*m**2 + 25*m - 19. Let c be q(-14). Solve -3*z + 8 = -7, -5*z = g - c for g.
-2
Let n(a) = 2*a**2 - 9*a - 36. Let h be n(-3). Solve 3*k + h = o, -17 = 5*k - 3*o + 2*o for k.
-4
Let c be 1 + 1 - (-4 + 0). Let y be -27*(-5)/225*5. Solve y*q = -7*t + 3*t - 23, -t - q - c = 0 for t.
-5
Suppose -2*y + 22 = -4. Suppose -2 = -15*v + y*v. Solve d + v = -u, -u + d = -3*d + 21 for u.
-5
Let q = 90 + -87. Suppose -q*v - 2 = -11, 4*f - 5*v = -7. Solve 8 = -f*p - 2*m, -5*m + m = 20 for p.
1
Let h(c) = c**2 - 11*c - 5. Let t be h(7). Let i be t/(-9) + (-2)/3*1. Solve i*v - 2*o - 23 = 0, -2*o = 4*v - o - 16 for v.
5
Let v(r) = 5*r**2 - 1. Let l = 8 - -4. Let n = l - 13. Let y be v(n). Solve 3*q + y*c - 11 = 4, -2*q = 5*c - 17 for q.
1
Let n be 2/5*(-51 - 4). Let m = 27 + n. Let i be 6/(-5)*5/(-2). Solve b = -m*r + 21, -i*r + 17 = -4*b - 14 for r.
5
Suppose 6*s - s + 8 = 4*n, 2*n = s + 4. Solve g - 8 = -n*f, -2*g - 4 = 2*f - 7*g for f.
3
Suppose -15 = c - 0*c - t, -15 = c - 2*t. Let v = c + 44. Let f = v - 26. Solve -4*n - 27 = -3*r - 5, -5*n + f*r - 26 = 0 for n.
-4
Let p(y) = -y**3 - y**2 + 3*y + 3. Let d be p(-4). Suppose -d + 39 = -3*h. Solve 8 = a - 2*f - h, 4*f + 16 = 0 for a.
0
Suppose 75*k + 30 = 76*k. Let l be (k/(-9) - -3)*-12. Solve -2*h + 2 = 2*r, r = 2*r + l*h + 5 for r.
3
Let i(c) = 2*c**2 + 42*c + 4. Let d be i(-22). Suppose -4*j + j + d = 5*b, 5*j + 13 = 2*b. Solve -3*v - b - 18 = -3*w, 4*v + 20 = 0 for w.
4
Suppose 14*j - 6*j - 40 = 0. Suppose c - 8 = -c, r = c - 4. Let l be (r - -2) + -1 - -2. Solve -l*w = 4*m - 0*m - 8, -j*w + 2 = m for w.
0
Let o(l) be the first derivative of l**3/3 + l**2 - 3*l - 3. Let q be o(-3). Suppose h - 6*h = q. Solve h*u - 13 = -4*u + 3*d, u - 7 = 2*d for u.
1
Let y(u) = -39*u + 29. Let d be y(-7). Suppose d*h = 306*h. Solve 6*r = 3*c + 2*r - 14, h = -c - 3*r - 17 for c.
-2
Suppose 1016*w = 1025*w. Solve 0*y + 6 = k + 3*y, w = -2*k - 5*y + 10 for k.
0
Suppose -i = -0*i - 2. Let d be (0/(i/2 + 0))/2. Solve d = 2*b - 5*b + 2*v - 2, v = 2*b + 3 for b.
-4
Let v(f) = f - 3. Let d be v(2). Let x = d + 7. Suppose 4*s - x = s. Solve k = -2*k + s*a + 19, 0 = -4*k + a + 17 for k.
3
Suppose -q + 6*q = 20, -q - 8 = -4*l. Let c be 4/l - (16/(-3))/8. Solve -3*t = -k + 4, -t - c*k - 13 = -0 for t.
-3
Let u = -45 + 48. Let r be u + 4/4 + -1. Suppose 3*b = 12, -74 + 9 = -3*w + 4*b. Solve 5 = -r*d + 4*j - 6, 2*j + w = -5*d for d.
-5
Let k(m) = -m + 7. Let w be k(7). Suppose 2*j = -3*c + 17, 5*j = -w*j + c. Solve s = -3*g + 5, -4*s + 3 = 3*g + j for s.
-1
Suppose 4*b = -2*b + 18. Suppose -4*i + 5 = -b. Solve c + 2*c - 6 = 3*o, 0 = -5*o + i*c - 1 for o.
1
Suppose -35*a + 18*a + 51 = 0. Solve 0*h - g + 20 = 5*h, 5*h - 10 = -a*g for h.
5
Let i be 24/2*(-1)/(-4)*1. Suppose -i*h = 0, 2*h - 7 = -m + 2. Solve -b - 5*g = 10, 2*g + m = -g for b.
5
Suppose -5 + 4 = t. Let z be (10/(-6) - t)/((-2)/9). Let p = -3 - -6. Solve p*m - 3 = -3*f, -4*f + z = 5*m - 2 for f.
0
Let y(f) = f**3 - 13*f**2 + f - 11. Let g be y(13). Let n be (-66)/(-24) + 33/(-12) + g. Solve 2*k = 6, 3*m - n*k + 5 = 2*m for m.
1
Let o(x) = -x + 7. Suppose 6*q + 0 = 18. Let m be o(q). Solve -b + 2*b - 13 = 4*p, 0 = -4*b + m for p.
-3
Let f(w) = 16*w + 114. Let m be f(-7). Solve 2*c = -m*b - 6, -14 = 3*b - 3*c - 5 for b.
-3
Let c(z) = z**2 - 4*z + 2. Let b be 12/(-30) + (-13)/5. Let m be 10/b*(-12)/10. Let x be c(m). Solve 2*k + 5*p + 21 = 0, -x*k = 2*k + 3*p + 21 for k.
-3
Suppose 0 = -2*h - 3*h + 20. Suppose 8 = j - 3*l + 3, -5*j = -3*l - 85. Let d be j/(-3)*15/(-5). Solve -5*a - 4*b = b + 40, 0 = h*b + d for a.
-3
Let g(w) = -5*w + 15. Let a be g(2). Solve -3*t = a*z - 34, 4*z - 8 = 5*t - t for t.
3
Let s = 7 + -1. Let j be -3*(-2)/s + 2. Suppose -2*u = 7*u. Solve 0 = f - j*q + 9, -3*f + 10*q - 5*q - 11 = u for f.
3
Let r = -33 + 43. Suppose -r = 5*n + 5*z, 3*n + z = -0 + 2. Let c = -3 + 8. Solve c*p - 25 = -0*p, -n*q - p = -5 for q.
0
Suppose 5*m - 144 = m. Let w = -34 + m. Solve 5*l + 6 = -4*x, 3*x - w*x + 10 = 3*l for l.
2
Suppose -4*u = -45 - 3. Suppose -o + 2*n = -3*n + 1, 4*o - 4*n - u = 0. Solve o*g = -2*y + 2*g, 4*g = 20 for y.
-5
Let s(c) = c**2 - 7*c + 21. Let q be s(6). Suppose q = 3*d - 0*d. Solve m + 24 = -0*m + 5*w, 0 = d*m - w for m.
1
Let h(f) = 10*f - 3. Let c be h(1). Let a(s) = 4*s + 37. Let r be a(-8). Solve -2*b = -2*d + c*d + 33
|
{
"pile_set_name": "DM Mathematics"
}
|
?
5
Suppose -4*g + 54 = d - g, -2*d + 5*g = -75. Let r(o) = -o**2 - o + 9. Let k be r(0). Let l be (1*-2*k)/(-2). Calculate the greatest common divisor of d and l.
9
Suppose -7*h = -2*h - 10, 0 = t + 5*h - 6. Let x = 6 + t. Suppose -4*j + 12 = -4*i, -x*j - i = -5*i. What is the highest common divisor of 18 and j?
6
Let y be 0 + 43 + (-1)/1. Suppose 2*q - 79 = -67. Calculate the highest common factor of y and q.
6
Suppose 13 = 4*y - 3. What is the highest common factor of y and 8?
4
Suppose -3*x + 13 + 17 = 0. Suppose 3*c - x = -1. What is the greatest common divisor of c and 27?
3
Suppose -3*b + 170 = 5*l, b + 2*l - 70 + 14 = 0. Suppose -20 = -5*t - 0*t, -3*a + 40 = -5*t. What is the greatest common factor of b and a?
20
Suppose 0 = -2*m - 0*m - 4. Let c be ((-20)/(-25))/(m/(-5)). Suppose 5*a + 4*v - 300 = 0, 102 = 2*a + c*v - 18. What is the highest common factor of 12 and a?
12
Let g = 98 - 26. Let s(v) = v - v - v + 9*v**2 + 0*v**2. Let n be s(1). What is the highest common divisor of g and n?
8
Let f be (-5 - 0)*(-8)/10. Suppose c = -f*q + 64, 2*c + 24 - 2 = 2*q. What is the highest common divisor of 30 and q?
15
Let z = 11 + -7. Suppose -26 + 6 = -z*w. Let v be 20/((18/15)/3). Calculate the greatest common factor of v and w.
5
Let a(j) = j - 4. Let o be a(10). Let t = 13 + -4. Calculate the highest common factor of o and t.
3
Suppose 0*c = -5*c + 25. Suppose -c*s - 4 - 6 = 0. Let k be 14*(1 - 2)*s. Calculate the highest common divisor of k and 4.
4
Suppose -3*i = -2*y + 305 + 1232, 4*i + 3*y + 2055 = 0. Let o be (-2)/(3/(i/(-6))). Let p = -17 - o. What is the highest common divisor of 5 and p?
5
Let t be 9/(-15) - (-489)/15. Suppose 0 = -2*w + 6 + t. Calculate the greatest common divisor of 38 and w.
19
Let w(f) = 2*f - 12. Let v be w(6). Suppose v = 3*o - 20 - 1. Let u(a) = -5*a - 6. Let x be u(-4). What is the greatest common factor of x and o?
7
Suppose 2*l - 26 = -0. Let s be (4 - 18/4)*18. Let j be (-2800)/(-72) + (-1)/s. What is the greatest common divisor of l and j?
13
Let k be 1*2/(4/10). Suppose k*r - 144 = r. What is the greatest common divisor of r and 90?
18
Suppose 2*h - 62 = -3*p, 3*p = 2*h + 8*p - 66. Let m be (2 + -3)*(-57)/(-3). Let d = h + m. What is the greatest common divisor of 9 and d?
9
Let s(j) = -j**2 + 20*j + 4. Let p be s(14). Calculate the greatest common divisor of p and 11.
11
Let z(h) = 2*h - 3. Let w be z(6). Suppose 4*n + w = n. Let a(g) = -28*g + 4. Let y be a(n). Calculate the greatest common factor of 11 and y.
11
Let d(y) = -7*y**3 + y**2 + y. Let j be d(-1). Suppose -s + 4*m = -44, 2 + j = s + 3*m. Calculate the highest common divisor of 48 and s.
24
Suppose -5*b + 56 = -b + 4*d, 0 = -2*b - 5*d + 25. Calculate the highest common factor of 6 and b.
3
Let x be (2/2)/(1 + 0). Calculate the greatest common factor of 1 and x.
1
Let j be (-1 - -2)/((-6)/(-54)). Let f = 31 + j. What is the highest common factor of f and 10?
10
Let y = 31 + 10. Let o = y + 36. Calculate the greatest common divisor of o and 7.
7
Let m = 2 + 4. Let t(s) = s**2 + 6*s - 10. Let p be t(-8). Calculate the highest common divisor of m and p.
6
Let w be (-1 - -3)/((-2)/(-3)). Suppose -5*d + 38 = 28. Calculate the greatest common divisor of w and d.
1
Let o be (-502)/(-8) + 2/8. What is the highest common factor of 42 and o?
21
Suppose 4*k - 3*x - 111 = k, k + 4*x - 42 = 0. Let n be k/6 + (-4)/(-6). Let q be 28 + (-1 - -1 - 0). Calculate the greatest common divisor of q and n.
7
Let b(v) = 173*v**2 + 1. Let t be b(1). Let o be (-15)/20 + t/8. What is the greatest common factor of o and 7?
7
Suppose -2*k - 26 = -6*k + 2*w, 4*k - w - 25 = 0. Suppose -3*t + 36 = 3*p, 3*p - 36 - k = -t. What is the greatest common factor of 60 and p?
15
Suppose 1144 = -2*i + 1254. Let g(n) = -3*n - 1. Let t be g(-2). What is the greatest common divisor of t and i?
5
Suppose 6 + 2 = 4*v. Suppose g - v*g + 75 = 0. Let i be 266/18 - (-2)/9. What is the greatest common factor of g and i?
15
Suppose -p = 5*r + 17, 3*r + 5*p + 6 = -13. Let h be 11 - (-1 - r - 3). Calculate the highest common divisor of h and 60.
12
Let q be (-6 + -11)/((-2)/(-10)*-1). What is the greatest common divisor of 34 and q?
17
Suppose 5*v - 16 = v. Let y = v + 72. Calculate the greatest common factor of y and 19.
19
Let l = 83 + -48. Calculate the highest common factor of l and 5.
5
Let s(y) = 43*y**3 - 2*y**2 - y + 2. Let b be s(2). Calculate the greatest common divisor of b and 14.
14
Suppose 0 = 3*z + 4*l - 687, 0*l + 2*l = 3*z - 669. What is the greatest common divisor of 90 and z?
45
Let k = 7 + -1. Calculate the highest common divisor of k and 15.
3
Suppose 0 = 4*i, 7*r - i - 30 = 2*r. Calculate the highest common divisor of r and 4.
2
Let n(x) = -66*x. Let t be n(-1). Suppose -3*l = 5*c - 32, c = -4*l - c + t. What is the highest common divisor of 95 and l?
19
Suppose -2*a + 2*u + 24 = 0, 0 + 18 = 3*a + 3*u. Let z(s) = 2*s**3 + 4*s**2 - 4*s + 3. Let x be z(2). What is the greatest common factor of a and x?
9
Let u be ((-5)/(-3))/(4/(-24)). Let d = 21 + u. Suppose -4*c - 3*w + 332 = w, 4*w = -20. What is the highest common divisor of d and c?
11
Let t be 5034/21 + 8/28. Calculate the highest common factor of t and 30.
30
Let j(w) = w**3 - 7*w**2 + 7*w + 5. Let d be j(6). Let h = d - 2. Calculate the greatest common divisor of h and 45.
9
Let y be (19 - 10/(-5)) + 2. What is the greatest common divisor of 253 and y?
23
Let i = -48 + 50. What is the greatest common factor of 4 and i?
2
Let u(z) = -z**3 - 4*z**2 - 1. Let o be u(-3). Let n = -6 - o. What is the highest common factor of 44 and n?
4
Let v be 2/(-3)*9/(-3). Suppose v*m - 5*m + 29 = b, -2*b = m - 33. Let i = b + -6. What is the highest common divisor of i and 16?
8
Let g be 8 + (-1 - -1) + 0. Let m = 8 + -8. Let v = 12 + m. Calculate the greatest common factor of v and g.
4
Let z(i) = i**3 - i**2 + i + 144. Suppose 0*p = -2*p. Let h be z(p). Calculate the highest common divisor of 16 and h.
16
Let z be 2/4 + (-38)/(-4). Suppose s - 2*s = 5, 3*c - 28 = 2*s. Let x be 2/c - 20/(-12). Calculate the highest common divisor of z and x.
2
Suppose 4*b + 4*m = 22 + 206, 3*b - 3*m = 141. Calculate the greatest common divisor of 13 and b.
13
Suppose 3*p = 4*l + 266, -3*p = 2*p + 5*l - 455. What is the highest common divisor of 10 and p?
10
Let x(g) = -g**3 + 7*g**2 - 6*g + 3. Let t be x(6). Let s be 4246/14 - (-2)/(-7). Suppose t*v - s = 159. What is the highest common divisor of v and 14?
14
Suppose -2*s = 3*o - 62, -s + 52 = s - 2*o. What is the highest common factor of 70 and s?
14
Let h(d) = d**3 - 2*d**2 + 3*d - 9. Let k be h(4). Calculate the highest common factor of 14 and k.
7
Suppose 0*l = 3*l + 2*p - 7, -23 = -3*l + 2*p. Suppose l*z = -4*w + 328, -4*w = 5*z - w - 326. What is the greatest common factor of z and 8?
8
Let o be 4/3*9/2. Suppose 11*q = o*q + 30. Suppose -i + q*i = 75. What is the highest common factor of 75 and i?
15
Suppose f - 4*r + 11 = -r, 3*r + 37 = -5*f. Let i(n) = n**2 + 2*n - 4. Let h be i(f). Let g be 4*(1 - -1)/2. What is the greatest common divisor of h and g?
4
Let t be 15 + -1 - (-5)/10*4. Let i be (1 + -33)/(2/(-11)). What is the highest common factor of t and i?
16
Let m be (2/(-4))/((-2)/36). Calculate the highest common factor of m and 3.
3
Let y(z) = -z - 1. Let m be 2/(-6) - (-30)/9. Let w be y(m). Let q be 6*(0 - w/6). Calculate the greatest common divisor of 8 and q.
4
Let z be -18*(-3)/(12/22). Calculate the highest common divisor of z and 11.
11
Let j(g) = 72*g**3 + 2*g**2 - g + 1. Let s be j(1). Calculate the highest common factor of s and 111.
37
Suppose -15*q + 59 = -586. Calculate the greatest common divisor of q and 215.
43
Suppose -4*j + 8 = -8. Let z = j + 0. Let b be z/(-6) + (-136)/(-6). Calculate the highest common divisor of b and 33.
11
Suppose -t = 3*t + 3*w - 204, -4*t - 2*w = -208. Let i = t + -36. Calculate the highest common divisor of 72 and i.
18
Let p be ((-684)/(-24))/(2/8). Calculate the highest common factor of 6 and p.
6
Suppose 13*h - 37*h = -96. Suppose 4*c - a + 50 = 197, -a + 69 = 2*c. What is the highest common factor of h and c?
4
Suppose -2*n + 4*i + 32 = 0, -4*n - 2*i + 31 - 7 = 0. Let w(x) = -x**2 + 8*x + 8. Let t be w(n). Let o = t + -2. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
et s = 4.4 + -4. Let l = -0.9 + s. Let c = -0.3 - l. Is c not equal to 0.2?
False
Let r be (4/6)/(132/(-36)). Is -1 at least as big as r?
False
Let c be 0 - 0 - (16 - -5). Let l be ((-1)/(-8))/((-7)/c). Which is bigger: 0 or l?
l
Let w(q) = -q + 4. Let m be w(3). Let b be 234*(-24)/(-1778) - 3. Let v = -2/127 + b. Is m greater than or equal to v?
True
Let h = -1 - -1.1. Let m = 38 + -7. Let y = -26 + m. Is y bigger than h?
True
Let z be 5/8*(-14)/35. Is 0.02 at most z?
False
Let g = 6 - 6. Suppose g = -5*k + 5*n - 4 - 21, -22 = 2*k + n. Let f = k - -16. Are f and 6 nonequal?
True
Suppose -4*a - 3*v + v = -14, 5*v - 15 = -5*a. Suppose a*i + i - 15 = 0. Suppose -s + 8 = i*s. Which is smaller: 1 or s?
1
Let p(h) = -3*h**3 + 7*h**2 - 11*h - 14. Let w(a) = -a**3 + 4*a**2 - 6*a - 7. Let f(u) = -2*p(u) + 5*w(u). Let m be f(-7). Are m and -1/4 equal?
False
Suppose -3*y + 9*y = 0. Let m = 1 + 1. Let b = 2 - m. Is b not equal to y?
False
Suppose 3*p = 2*l + 10, p + 1 = -2*l - 1. Is p at most -6?
False
Suppose 0 = -3*v - 5*f - 105, 5*v + f + 153 = -0*f. Let j be 6/4*(-20)/v. Are 1 and j equal?
True
Let n be ((-7 - -1)/(-3))/(-2). Let k = n + 6. Suppose 2*x = k*x - 3. Is x at least as big as 2/3?
True
Let q = -31 + 31.73. Let p = q - -0.27. Which is smaller: p or -18?
-18
Suppose 5*y + 17 = 2*u, -u - 11 = -0*y + 4*y. Let t be (-100)/(-7) + (-2)/7. Let g be 4/14 - (-10)/t. Is g at most as big as u?
True
Let o be 2/9 - (-29)/(-9). Let j = o + 7. Suppose 5*q + 1 + 1 = -3*p, -j*p = -4. Which is smaller: q or -2/5?
q
Suppose -32 = 4*v - 3*n + 7*n, -5*n = -4*v + 13. Is -1 >= v?
True
Let a = -2 + 1.9. Let n be (8/(-6))/(12 + -6). Which is bigger: n or a?
a
Suppose 0 = 2*w - 3*k - 3, 2 = 4*w - 4*k + 6. Let d = 8 + w. Is d greater than or equal to 3?
False
Let v = -18 - -17.9. Let w = v - 0. Is w less than -1/8?
False
Let c(g) = 2*g - 11. Let s be c(6). Which is smaller: 1/7 or s?
1/7
Let q = 15 - 9. Let p be -3*(-3)/(27/q). Suppose -2*o - 2 = p. Is 0 != o?
True
Let f be -1 + (-3 - (6 - 2)). Let r(z) = z**2 - 6*z + 3. Let a be r(4). Let v = a - f. Which is greater: 4 or v?
4
Suppose -3*p = -10 - 5. Suppose -i + 0*g - 2*g = -12, -4*i + p*g - 4 = 0. Is i less than or equal to -1?
False
Let c = -1 - -1. Let m be (-222)/14 - (-2)/(-14). Let o be 4/m*8/10. Which is smaller: o or c?
o
Suppose -3*s = -2*s + 7. Let w(a) = 2*a**2 - 11*a - 8. Let f(t) = 5*t**2 - 32*t - 24. Let h(x) = 3*f(x) - 8*w(x). Let y be h(s). Which is greater: -3 or y?
y
Suppose -4*w + 22 = -2*n, -3*n + 5*w - 13 = 3*w. Is n smaller than 0?
True
Let t(q) = 2*q + 5. Let w(n) = 3*n + 6. Let r(x) = -4*t(x) + 3*w(x). Let m be r(0). Which is smaller: m or -5?
-5
Let u(x) = x - 6. Let y be u(6). Let h be 0 + 5 + (y - 1). Is 2 bigger than h?
False
Let r = -28 + 26.7. Let k = r - -1.3. Suppose 5*q = 3*j + 9, -q - 4 = 2*j + 2. Is q bigger than k?
False
Suppose 2*t + 0 = 4. Let g = 0 + t. Suppose g*r = -2*r. Which is smaller: r or -2/5?
-2/5
Let z = 4 - 2. Suppose -5 + z = -3*m. Let j be (-2)/(-3) - (-1 - -1). Which is bigger: m or j?
m
Let i = 45.8 - 39. Let h = 9 - i. Let b = h - 2. Is b at least -1?
True
Let t = -41 + 24. Which is smaller: -18 or t?
-18
Let u be (10 - 11)*(-4 - -2). Let r = 4 - 3. Which is smaller: r or u?
r
Let y(f) = -f**3 - 5*f**2 + f + 1. Let i be y(-5). Let w be (i/(-6))/(3/(-9)). Suppose 2*z + 3 = -3. Are w and z non-equal?
True
Let f = 8 + -10. Which is smaller: f or -0.3?
f
Let w be (-14)/(-35) + (-58)/120. Which is bigger: 0 or w?
0
Suppose 5*d + 4 = -16. Let n(w) = w**2 - 5*w + 1. Let o be n(2). Let z be o - (0/(-2) - 0). Are d and z unequal?
True
Suppose -3*w - 5 = l, -4*l + l - 6 = 0. Let c = -3.06 + 3. Which is bigger: w or c?
c
Let i = -25 + 25.17. Let j = i + -0.07. Which is smaller: j or 0.05?
0.05
Let u(y) = -y**2 + 4*y. Let s be u(4). Let v be 2 + 1 - 1 - 1. Do s and v have different values?
True
Let i = -11.1 + 12. Let l = i + -4.9. Which is greater: l or 2/3?
2/3
Let c be (1 + -10)*2/(-6). Suppose -4*p + 8 = 4*x, 5*p + 4*x = 3*x + 22. Suppose -p - 1 = c*g. Is g >= -4/7?
False
Let m be (-8)/(-32) + 7/(-60). Is m smaller than 0?
False
Suppose -3*f + 1 = -8. Let p = f + -4. Which is bigger: 1/6 or p?
1/6
Let q = -103/1034 + 5/22. Are 0 and q equal?
False
Let j = 3.26 - 3.2. Is j less than -6?
False
Let j = -9 - -9. Suppose -5*o + 10 = 3*u - 2, -2*u + 5*o + 8 = j. Which is bigger: u or 8/3?
u
Let t = -1 + 2. Let b = 17 - 20. Are b and t unequal?
True
Let m = -40 + 41. Suppose -3*j + j + 4 = 0. Is m at least j?
False
Let f(p) = 12*p - 19. Let x be f(4). Are x and 30 nonequal?
True
Let y(n) = 9*n - 36. Let h be y(4). Is h at least 10/13?
False
Let u = -2/689 + 59/2067. Which is smaller: 0 or u?
0
Suppose 5*q = -5*d + 135, 5*q + d - 135 = 5*d. Suppose -5*c + 3*r = -3*c + q, 4*r = 5*c + 57. Which is greater: -10 or c?
c
Let y = -24/97 - -3831/194. Is 1 bigger than y?
False
Let s(w) = -w**2 + 8*w - 3. Let m be s(7). Suppose 7 = 3*z + 2*g, 2*z - g + m = 4*z. Is 2 greater than or equal to z?
True
Suppose 2*s = -0*s + 2, -3*a - 8 = -2*s. Is a > -3/2?
False
Let v(q) = 3*q**2 - 4*q + 2. Let y be v(2). Suppose -y*x + x = -20. Is x less than or equal to 5?
True
Let n = 15 + -17. Let l(g) = -2*g**3 - g**2 + 1. Let o be l(1). Is o bigger than n?
False
Let q be (-2 - (-46)/20)/(3/8). Which is greater: q or -0.06?
q
Let b = 4/189 + 302/3591. Are b and -1 equal?
False
Suppose -h - 3*o = -8 - 8, 4*o = -5*h + 25. Let z be (10/1)/h - 4. Does 6 = z?
True
Let j = -607115 - -376410923/620. Let v = 1/124 + j. Is -2 >= v?
False
Suppose -2*j + 4 = -3*j. Let a = 5 + j. Is 1 less than or equal to a?
True
Let o = -52 - -41. Which is smaller: o or 0.2?
o
Let c = 0.06 - -1.14. Is 0.1 greater than c?
False
Let p(v) = -v**3 - 4*v**2 + 6*v - 1. Let c be p(-5). Let b be (-7)/27 + (-2)/c. Which is smaller: b or 1?
b
Let r = -0.07 - -1.07. Suppose -6*o = -o. Which is bigger: o or r?
r
Let o be (0 - -2)*3/39. Which is smaller: 0 or o?
0
Let p(i) = i**3 + 7*i**2 + 12*i + 10. Let y be p(-5). Do y and 6/19 have different values?
True
Let o = 3 - 3. Let m be 2/24*16/6. Is o < m?
True
Let j(v) = -v**3 - 11*v**2. Let d be j(-11). Are d and 7/9 equal?
False
Let v be (-217)/140 + (-15)/(-12). Which is smaller: -1 or v?
-1
Let j = -77 - -69. Is -7 at least j?
True
Suppose -4*g - a = -6*a - 24, -g - 2*a = 7. Suppose 0*m = -4*m. Suppose -4*s - 2*c - 6 = -m*c, 0 = -5*c - 15. Does g = s?
False
Let z(q) = q**2 - q - 2. Let v(p) = 6*p - 4. Let c be v(3). Let j be 32/c - 6/21. Let k be z(j). Is -1 smaller than k?
True
Suppose -3*p + 2 = -o, 4*p = -5*o + 4*o + 5. Is o greater than or equal to 1/8?
True
Let d be 28 - (1 + -1 + -3). Suppose -i - i - 5*u = -21, d = -3*i + 5*u. Suppose 0 = n + 1 - 0. Is i <= n?
True
Let i = 0.4 - 0.3. Let f = 0.5 + -0.3. Let n = f - i. Are -1 and n unequal?
True
Let r be -2*1*(-2)/2. Suppose -r*d = -6*d - 8. Suppose -2*m - c = -3 + 2, -5*c = m - 14. Is d less than m?
True
Let d be (20/(-90))/(1/(-3)). Do -2 and d have different values?
True
Suppose -q - 2 = -3*q. Let g = q + 0. Let d = 36/11 + -34/11. Is d > g?
False
Let r(z) = z**2 + z. Let w(p) = 4*p**2 - p + 1. Let a be 3/18*3*2. Let b(g) = a*w(g) - 3*r(g). Let m be b(3). Which is smaller: 1 or m?
m
Let h be (-1)/4 - (-1)/4. Are h and 1/70 equal?
False
Let o be (-18)/15*(-35)/14. Is o < 3?
False
Let y = -45 + 45. Is 1/30 <= y?
False
Let l = -32 + 87. Let p = -53.84 + l. Let q = p + -1.1. Which is bigger: q or 1?
1
Let q(d) = d. Suppose p = 2*z - 4, 0 = 3*p - 4*z + 7 + 7. Let b be q(p). Is b less than or equal to -5?
True
Let j = -10 - -27. Let u = j + -20. Is u > -1?
False
Suppose -2*b + 0*t + 1 = 3*t, 4*b = t - 5. Let r be -2 + 5 + (1 - b). Which is greater: r or 2?
r
Let g = 14 + -21. Which is smaller: -1 or g?
g
Suppose f - 5*k + 11 = 2*f, 2*k - 52 = 3*f. Let y = 13 + f. Let t = -0.1 + 1.1. Which is smaller: y or t?
y
Let u = 0.05 + -2.05. Let o = -1.8 - u. Let j = 0.2 - 0.4. Which is smaller: o or j?
j
Let r(i) = i**3 + 7*i**2 - 1. Let p be r(-7). Which is smaller: 2/5 or p?
p
Let g = -43.1 + 43. Which is bigger: g or 11?
11
Suppose y - 22 = q, 0*q + 2*y - 65 = 3*q. Which is smaller: 2 or q?
q
Let u = 8 + -7. Is 4/5 smaller than u?
True
Let k = -2.7 + -3.3. Which is bigger: k or -1?
-1
Let m be (-4)/(3/(9/2)). Let g = -102 - -96. Is g != m
|
{
"pile_set_name": "DM Mathematics"
}
|
*b**3*p + 16*b**2*p**2 - 4*b**2 + 2*b - 3 wrt b.
-18*p**2 + 3444*p
What is the third derivative of 7*d*o**6 + 610*d*o**3 - 1247*d*o**2 - d*o + o**6 + 2*o wrt o?
840*d*o**3 + 3660*d + 120*o**3
Differentiate -4*u**4 + 89*u**3 - 1188 wrt u.
-16*u**3 + 267*u**2
Differentiate 457*i**2*s**2 - 2*i*s**2 - 15*s**2 - 15*s with respect to i.
914*i*s**2 - 2*s**2
Differentiate -3*l**2*s**2 + 5*l**2*s - 5623*l**2 - 16*s**4 with respect to s.
-6*l**2*s + 5*l**2 - 64*s**3
Differentiate 2*j**2*s**3 + 119*j**2 + 58*j*s wrt s.
6*j**2*s**2 + 58*j
Find the third derivative of k**3*v**3 + k**3*v**2 + 26*k*v**6 + 83*k*v**2 wrt v.
6*k**3 + 3120*k*v**3
Find the first derivative of -60*a + 802.
-60
What is the third derivative of -6*l**6 + 5*l**5 + 5*l**3 - 16*l**2 - 77*l + 1?
-720*l**3 + 300*l**2 + 30
Find the second derivative of -278*l**3 + 291*l wrt l.
-1668*l
What is the third derivative of k**3*p**3 - 20*k**3 - 2*k**2*p**2 - 43*k*p**6 wrt p?
6*k**3 - 5160*k*p**3
What is the derivative of 716*d + 741 wrt d?
716
What is the second derivative of n*x**2*y**2 - 5*n*x**2*y + 7*n*x - n + 4180*x**2*y**5 + 4*x*y - y wrt y?
2*n*x**2 + 83600*x**2*y**3
What is the second derivative of -2*m**4 + 512*m**3 - 830*m - 1?
-24*m**2 + 3072*m
Find the second derivative of 197*f**2 + 167*f wrt f.
394
What is the second derivative of -479*n**2 + 596*n wrt n?
-958
What is the second derivative of -643*f**2*r + 2*f*r + f - 37*r wrt f?
-1286*r
What is the third derivative of -11*t**5 + 96*t**4 + 7*t**2 - 9*t - 2?
-660*t**2 + 2304*t
Find the third derivative of 51*k**2*p**4 + 2*k**2*p - 9*k*p**4 - 34*k*p**2 wrt p.
1224*k**2*p - 216*k*p
Find the second derivative of d**3*q**2 - 7*d**3 - 3*d**2*q**4 - d**2*q**2 + 6*d*q wrt q.
2*d**3 - 36*d**2*q**2 - 2*d**2
What is the third derivative of -18*b**2*l**5 - 159*b**2*l**2 + 449*b*l**5 + b*l**2 - 2*b*l + l**2 wrt l?
-1080*b**2*l**2 + 26940*b*l**2
Differentiate 15*j**2*m - 10125*j**2 + 9*m**2 with respect to m.
15*j**2 + 18*m
What is the derivative of -562*n**4 - n**3 + 558 wrt n?
-2248*n**3 - 3*n**2
Find the second derivative of -9*d**3*t - 407*d**2*t**3 - 38*d*t**3 + 28*d*t wrt d.
-54*d*t - 814*t**3
Find the first derivative of 1827*z - 1950 wrt z.
1827
Differentiate -3222*u + 521.
-3222
Find the third derivative of -291*o**3 - 670*o**2.
-1746
What is the third derivative of 18*k**4 + k**3 + 15*k**2 - 4 wrt k?
432*k + 6
Find the first derivative of 4*d*h**3*u + 5*d*h*u + d*h + 77*h**3 wrt u.
4*d*h**3 + 5*d*h
Find the third derivative of 4*b**6*u - 307*b**4*u**2 + 119*b**2*u**2 + 2*b**2*u - 2*b wrt b.
480*b**3*u - 7368*b*u**2
What is the third derivative of -252*k**4 + 32*k**2 - 2?
-6048*k
Find the third derivative of 212*d**2*m**3 - 8*d**2*m + 3*d*m**2 wrt m.
1272*d**2
Find the third derivative of 16*i**5 + 4*i**3 - 124*i**2 - 1 wrt i.
960*i**2 + 24
What is the derivative of z**2 - 420*z - 94 wrt z?
2*z - 420
What is the second derivative of -6*f**2*i**2*u - 4*f**2*u**2 + 30*f*i**2*u**2 + 5*f*u wrt f?
-12*i**2*u - 8*u**2
What is the third derivative of -2996*l**4 - 717*l**2 wrt l?
-71904*l
What is the third derivative of -82*b**2*n**3 - b**2*n**2 - 4*n**3 + 58*n**2 wrt n?
-492*b**2 - 24
What is the first derivative of -j*q**3 + 29*j*q*v**3 + q**3 + 305*v**3 wrt j?
-q**3 + 29*q*v**3
What is the second derivative of 2*p**3*q**2*t + p**3*q - 2*p**3*t*y + 2*p**2*q*t - p*q*y - 2*q**2*t**2*y - 62*q**2*y + 4*q*t**2*y wrt q?
4*p**3*t - 4*t**2*y - 124*y
Find the second derivative of -40*m**3*y**3 - 6*m**3*y**2 + 11*m**3*y + 55*m**3 + 3*y wrt y.
-240*m**3*y - 12*m**3
Find the third derivative of -319*a*r**2*y**3 - 2*a*r**2*y**2 - 3*a*r*y**2 + 2*a*y**3 + 2*a*y**2 - r*y**2 wrt y.
-1914*a*r**2 + 12*a
What is the first derivative of -458*f**3 + 8*f**2 + 4292 wrt f?
-1374*f**2 + 16*f
What is the second derivative of -a**3*c**2 + a**3 + 71*a*c - 160*c**2 wrt c?
-2*a**3 - 320
What is the third derivative of -7*m**6*o - 5*m**6 - 2*m**2*o + 72*m**2 - 2*o wrt m?
-840*m**3*o - 600*m**3
What is the second derivative of 46*h**4 - h**2*j - h + 40*j wrt h?
552*h**2 - 2*j
What is the derivative of -7*i**3 + 9*i - 2 wrt i?
-21*i**2 + 9
Find the first derivative of -1390*a*d**3 - 930*d**3 wrt a.
-1390*d**3
Differentiate -65*a*j + 7*a - 7 wrt j.
-65*a
What is the third derivative of -2*a**5*o - 31*a**4*o - a**2*o + a**2 - a*o wrt a?
-120*a**2*o - 744*a*o
Find the third derivative of 146*l**4 + 492*l**2.
3504*l
What is the first derivative of 829*g*i + 756*g*u + 2*i*u wrt i?
829*g + 2*u
What is the third derivative of 3*a*o**3*r**2 + 2*a*o**2*r**3 + 2*a*r**2 + 324*o**3*r**3 - 486*r**2 wrt r?
12*a*o**2 + 1944*o**3
What is the second derivative of d**5*l**2 - 2*d**3 + 3*d**2*l**3 - 7*d*l**3 - 4*l**3 wrt d?
20*d**3*l**2 - 12*d + 6*l**3
What is the second derivative of 65*a**2*c**2*d**3*v - a**2*c*d**2 + 4*a**2*d**3 + 2*a*c**2*d**2*v - c*d**3 - 11*d*v wrt c?
130*a**2*d**3*v + 4*a*d**2*v
Find the third derivative of -247*g**6 + 160*g**2 - 2*g wrt g.
-29640*g**3
Find the second derivative of 1400*p**4 + 14*p - 11 wrt p.
16800*p**2
What is the second derivative of 502*h**5 - 454*h?
10040*h**3
What is the third derivative of 293*g**3 + 4*g**2 + 110?
1758
What is the third derivative of 6*w*y**4 + 4*w + 53*y**4 + 5*y**2 - 1 wrt y?
144*w*y + 1272*y
Differentiate -33*c**2*o*r - 3*c**2*r - 2*c**2 - 6*c + 15*o wrt r.
-33*c**2*o - 3*c**2
What is the derivative of -2*y**2 - 86*y - 42 wrt y?
-4*y - 86
Differentiate -45*t**2*z**2 + 6*t**2*z - 146*t**2 with respect to z.
-90*t**2*z + 6*t**2
What is the derivative of 120*k - 79 wrt k?
120
What is the derivative of -9228*l - 19578?
-9228
What is the third derivative of -42*k**5 - 8*k**3 + 3*k**2 + 59 wrt k?
-2520*k**2 - 48
What is the second derivative of 12*p**3*w**2 - 882*p**3 - 2*p**2*w**3 - 6*p*w**3 - w wrt w?
24*p**3 - 12*p**2*w - 36*p*w
What is the third derivative of 236*q**5 - 64*q**2 + 5*q wrt q?
14160*q**2
What is the third derivative of 2*a**5 + 46*a**3 - 136*a**2?
120*a**2 + 276
What is the third derivative of 2*p**6*t**3 + 8861*p**3*t**3 - 6*p**2*t**2 + 909*t**3 wrt p?
240*p**3*t**3 + 53166*t**3
What is the second derivative of 59*c**3*y**4 + 3*c**3*y - 6*c*y - 7*y**5 - 10*y wrt y?
708*c**3*y**2 - 140*y**3
Find the third derivative of t*w**3*z**3 + t*w**3*z - t*w**2*z**2 + 6*t*w**2 - t*w*z**2 + 2*w**3 + 62*w**2*z**3 - 2*w**2 wrt w.
6*t*z**3 + 6*t*z + 12
What is the second derivative of -1865*o**2 + 941*o?
-3730
What is the third derivative of 1867*n**3 + 19*n**2?
11202
What is the second derivative of -844*b**2 - 349*b + 1?
-1688
Find the second derivative of -3401*d**4 - 2016*d wrt d.
-40812*d**2
Find the second derivative of 7*i**4 - 9*i**3 + 41*i - 2.
84*i**2 - 54*i
Differentiate -1553*x**3*z**4 - x**3*z - 4222*x**3 - 2*x**2 - 2*z wrt z.
-6212*x**3*z**3 - x**3 - 2
What is the second derivative of -2*p*v**2 - 4*p - 138*v**4 + v - 2 wrt v?
-4*p - 1656*v**2
Find the first derivative of -58*d**4 - 10*d**2 - d*s + 21224*s wrt d.
-232*d**3 - 20*d - s
What is the derivative of -113*q*y - 52*q wrt y?
-113*q
What is the second derivative of v**4 + 73*v**3 + 61*v**2 + 25655*v?
12*v**2 + 438*v + 122
What is the second derivative of -1140*w**4 - 5*w**3 - 2*w**2 + w - 3106?
-13680*w**2 - 30*w - 4
What is the third derivative of -3*r**3*z**3 + 1105*r**3*z**2 + 8*r**2*z**3 - r**2 + 3*z**4 + 2*z**3 wrt z?
-18*r**3 + 48*r**2 + 72*z + 12
What is the third derivative of -2*s**3*u - 60*s**3 - s**2 + 52*s*u wrt s?
-12*u - 360
What is the first derivative of 6*f*j*t - 2*f*k**2*t**3 - 2*f*k**2*t**2 - 45*f*k*t**3 + j*k**2*t + j*k*t**3 wrt j?
6*f*t + k**2*t + k*t**3
Find the second derivative of h*j**3 + h*j + 2555*j**3*q**2 - j*q - 44*j - 4*q**2 wrt j.
6*h*j + 15330*j*q**2
Find the third derivative of -2*s**6 + 2*s**4 + 2529*s**3 + 83*s**2 wrt s.
-240*s**3 + 48*s + 15174
What is the third derivative of b**3*r**2 - 218*b**3*r - 2*b**2*r**2 + b**2 - 29*r**2 wrt b?
6*r**2 - 1308*r
What is the third derivative of 13*a*q**5 + 3*a*q**4 - 3*a*q**3 - 2*a*q + 2*a - 5*q**2 wrt q?
780*a*q**2 + 72*a*q - 18*a
Differentiate g**2*p*y + 76*g**2*y**2 - g*y**3 + 5*p - 15*y**3 wrt g.
2*g*p*y + 152*g*y**2 - y**3
What is the third derivative of -3*b**6 - 18*b**5 + 244*b**2?
-360*b**3 - 1080*b**2
What is the second derivative of b*g*x*y**2 - b*g*x*y - 2*b*g*y**2 - 2867*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 25*s**3 + 277*s wrt s.
150*s - 10
Let k(h) be the second derivative of 3*h**8/560 + h**5/15 + 2*h**3 - 10*h. Let q(o) be the second derivative of k(o). Find the second derivative of q(n) wrt n.
108*n**2
Let f = 18 + -13. Suppose 25 = f*b - 5. Differentiate -4*v + b - 5*v - 3 + 5*v with respect to v.
-4
Let c(i) be the first derivative of -13*i**4 + 54*i - 12. What is the first derivative of c(n) wrt n?
-156*n**2
Let x(v) = 11*v + 0*v**3 + 8*v**2 + 9 - v**3 - 22. Let b be x(9). Find the third derivative of u**2 - 16*u**3 + u**b + 16*u**3 - 6*u**2 wrt u.
60*u**2
Let o be 58/10 - 8/10. Suppose -q + 5*v = 12, 0*v + 6 = 3*q - v. What is the second derivative of -6*k**q + 22*k**2 - 22*k**2 + o*k wrt k?
-36*k
Let f = 13 - 8. Suppose 3*s + f - 29 = 3*q, s - 4*q = 11. Find the second derivative of 5*p - 2*p**5 + s - 7 wrt p.
-40*p**3
Let y(p) = p**3 + 12*p**2 + 15*p - 7. Let o be y(-2). Let f(s) be the second derivative of 0 + 3/4*s**4 + 11*s - s**2 + 0*s**o. Differentiate f(q) wrt q.
18*q
Suppose 0 = -h - 4 - 5. Let y(j) = -1290 + 1286 + 0*j**2 - 7*j**2. Let n(t) = -29*t**2 - 15. Let i(q) = h*y(q) + 2*n(q). Differentiate i(k) wrt k.
10*k
What is the second derivative of -54*k - 46*k**5 + 24*k - 47*k wrt k?
-920*k**3
Let k be 16 + ((-20)/(-4) - 3) + -3. What is the second derivative of 12*h**3 + 15 - k + 23*h wrt h?
72*h
Let u(d) be the third derivative of -5*d**2 + 1/3*d**4 - 1/168*d**8 + 0*d + 0*d**6 + 0*d**5 + 0 + 0*d**7 + 0*d**3. Find the second derivative of u(l) wrt l.
-40*l**3
Find the first derivative of r**4 - 46*r + 3*r**4 + 46*r - 1 wrt r.
16*r**3
Let s(b) be the first derivative of 0*b**2 + 1/3*b**3 - 8*b - 8. Differentiate s(n) wrt n.
2*n
What is the second derivative of 755 - 591*h**4 - 1507 + 59*h + 755 wrt h?
-7092*h**2
Let z be (4 - -1) + 3*-1. Let a be (-4)/(-3)*(z + 1). Find the second derivative of 5*i + 5*i - i - 6*i**4 + i**a wrt i.
-60*i**2
Let x(g) = -3*g**5 + 29*g**2 - 10*g + 1. Let w(m) = 2*m**5 - 29*m**2 + 10*m - 1. Let j(f) = 4*w(f) + 3*x(f). Find the second derivative of j(k) wrt k.
-20*k**3 - 58
Suppose 0 = 2*j - 5*j + 9. Let y(v) = -v**2 + 3*v + 10. Let o be y(5). Find the second derivative of -j*u + o*u + 3*u**2 + u**2 wrt u.
8
Let a(k) = 2*k - 1. Let u be a(2). What is the second derivative of 6*x - x - 6*x - 7*x**u wrt x?
-42*x
Let r(q) be the second derivative of 0 + 0*q**7 - 1/8*q**8 + 0*q**2 - 5/4*q**4 + 0*q**6 + 0*q**3 - 13*q + 0*q**5. What is the third derivative of r(j) wrt j?
-840*j**3
Let w(q) be the third derivative of -q**7/70 - q**6/30 + 7*q**4/24 - q**3/6 + q**2 + 168. What is the second derivative of w(o) wrt o?
-36*o**2 - 24*o
Let o(v) be the first derivative of -13*v**4/12 - v**3/2 + 15*v**2/2 + 43. Let p(d) be the second derivative of o(d). Differentiate p(q) with respect to q.
-26
Differentiate -84*s**2 + 310*s**2 + 1169 - 832 + 37*s**2 with respect to s.
526*s
Let b(c) = 2*c + 16. Let w be b(-7). Suppose 6 = w*f + f. Differentiate -1 - 3 + 2*h**f + 6 with respect to h.
4*h
Let q = 0 - -5. What is the third derivative of -6*d**4 + q*d**2 + 72 - 72 wrt d?
-144*d
What is the derivative of 29*w + 23*w - 53*w + 18*w**3 - 178 - 31 wrt w?
54*w**2 - 1
Let z(i) = 1868*i + 644. Let a(c) = 748*c + 258. Let o(t) = -12*a(t) + 5*z(t). Find the first derivative of o(m) wrt m.
364
Let a(g) = -266*g**3 - 43*g**2 + 27*g - 3. Let l(z) = 265*z**3 + 43*z**2 - 16*z + 2. Let y(k) = 2*a(k) + 3*l(k). What is the third derivative of y(d) wrt d?
1578
Let m(l) = -l**2 + 12*l + 11. Let k be m(13). Let a be k/(-9) + 86/18. Find the first derivative of -3 - 4 + 5*z**3 + a + 3*z**3 wrt z.
24*z**2
Let v(k) be the third derivative of -k**6/30 - 11*k**5/30 + 655*k**4/24 + 43*k**2 - 4*k. Find the second derivative of v(f) wrt f.
-24*f - 44
Let x(c) be the second derivative of -4*c**6/5 - 10*c**3 - 46*c + 2. What is the second derivative of x(w) wrt w?
-288*w**2
Let w(v) be the third derivative of -v**8/1260 - 7*v**6/240 + v**5/6 + 30*v**2. Let z(l) be the third derivative of w(l). Differentiate z(m) wrt m.
-32*m
Let b(q) be the first derivative of -q**9/1512 + 2*q**6/45 + 5*q**3/3 - 3. Let n(v) be the third derivative of b(v). What is the third derivative of n(u) wrt u?
-120*u**2
Let l(u) be the second derivative of -u + 9/2*u**2 - 25/12*u**4 + 0 + 0*u**3. What is the first derivative of l(h) wrt h?
-50*h
Suppose g = -5*w - 3*g + 2, 2 = 2*w + g. Differentiate -2*h + w*h + 2 + 4*h**4 - 17*h**4 with respect to h.
-52*h**3
Let j(o) be the second derivative of 13*o + 3/2*o**3 + 0*o**4 + 0*o**2 + 0 - 3/10*o**6 + 0*o**5. What is the second derivative of j(l) wrt l?
-108*l**2
Let u(b) be the first derivative of -9 + 12/7*b**7 + 0*b**6 + 0*b**2 - b**3 + 0*b**5 + 0*b + 0*b**4. Find the third derivative of u(q) wrt q.
1440*q**3
Find the second derivative of -22*t - 512 + 512 + 86*t + 76*t**2 + 31*t wrt t.
152
Let g(k) be the third derivative of -28*k**2 + 0*k**5 - 1/60*k**6 + 0*k**4 + 0*k + 19/6*k**3 + 0. Differentiate g(d) with respect to d.
-6*d**2
Suppose -3*r + 3*f = -21, 4*r = -0*f + 3*f + 23. Find the second derivative of 60*a**r - 60*a**2 + 44*a**3 + 33*a - 13*a**3 wrt a.
186*a
Let o(h) be the third derivative of 29*h**2 + 0*h**5 + 0*h**6 + 0 + 1/4*h**4 + 0*h**3 + 0*h**7 + 9/112*h**8 + 0*h. What is the second derivative of o(f) wrt f?
540*f**3
Suppose 4*p + 8 + 8 = 0. Let d be ((-12)/15)/(p/10). Find the third derivative of 8*t**2 - 8*t**2 - 2*t**d + 4*t**6 wrt t.
480*t**3
Let o(l) be the second derivative of -8*l**7/7 + l**4/12 + 7*l**3/6 - 21*l**2/2 + 5*l - 27. What is the second derivative of o(v) wrt v?
-960*v**3 + 2
Let x(q) be the first derivative of -25*q**6/6 + 11*q**5/5 - 52*q**3/3 - 567. Find the third derivative of x(f) wrt f.
-1500*f**2 + 264*f
What is the third derivative of 46*u**4 - 6 - 101*u**2 - u**3 + 23*u**4 + 102*u**2 wrt u?
1656*u - 6
Let p(f) = 6*f**2 + 8*f + 176. Let q(c) = -c - 3. Let n(r) = -p(r) - 5*q(r). Differentiate n(j) wrt j.
-12*j - 3
Let y(n) = -n**3 + 5*n**2 - 3*n - 3. Let r be y(3). Let b be r/((-6)/4 - -3). Find the first derivative of -7*t**4 + 4*t**b + 2 - 3 + 3 wrt t.
-12*t**3
Suppose 35 = 5*l + 5*r - 0*r, -2*l = r - 9. Find the first derivative of -7*o**2 - 35 + 24*o**4 - 5*o**l + 12*o**2 wrt o.
96*o**3
Let w(k) be the second derivative of k**6/5 - 16*k**3/3 - 5*k - 6. What is the second derivative of w(g) wrt g?
72*g**2
Let n(y) = 55*y**5 - 2*y**4 - 3*y**2 - 4. Let q(f) = 109*f**5 - 5*f**4 - 5*f**2 - 7. Let d(c) = 5*n(c) - 2*q(c). Find the third derivative of d(j) wrt j.
3420*j**2
Let u be -7 + 4 + (-14)/(-2). Let q(s) be the third derivative of 0*s + 0*s**u + 4*s**2 - 1/20*s**5 + 1/6*s**3 + 0. Differentiate q(z) wrt z.
-6*z
Suppose 0 = -5*k + k + 44. Find the second derivative of k*i**3 - i**3 + i**3 - 5*i wrt i.
66*i
Let k(o) = 12*o**4 - 4*o**2 - 3. Let s be 0 + 2 + -3 + 4. Let x(r) = 1 + 4 - 3 - s. Let p(a) = k(a) - 3*x(a). What is the third derivative of p(c) wrt c?
288*c
Let c(y) be the third derivative of -3*y**2 - 7/2*y**3 + 0*y**5 + 0*y**4 + 0*y**6 + 0 - 7/30*y**7 - 4*y. What is the first derivative of c(j) wrt j?
-196*j**3
Differentiate 42*l**2 + 40*l**2 + 66 + 310 + 42 with respect to l.
164*l
Let c be (-88)/(-924) - 4/42. Let g(l) be the second derivative of c*l**2 + 0*l**3 - 5*l - 5/12*l**4 + 0 + 1/4*l**5. What is the third derivative of g(d) wrt d?
30
Find the third derivative of -68*a**6 - 45*a**6 - 38*a**6 + 38*a**6 + 79*a**2 wrt a.
-13560*a**3
Suppose -3*u + 5*l + 5 = -2*u, u = 3*l + 5. Find the third derivative of -r**5 - 2*r**2 + r**u - 18*r**5 wrt r.
-1080*r**2
What is the third derivative of 65 - 419*x**5 - 174*x**5 + 162*x**5 + x**2 wrt x?
-25860*x**2
Let r(b) be the second derivative of 3*b**6/40 - 3*b**4/2 - 11*b**2 + 19*b. Let v(o) be the first derivative of r(o). Find the second derivative of v(p) wrt p.
54*p
Let i(w) = -454*w - 103. Let j(p) = 2268*p + 514. Let g(l) = -16*i(l) - 3*j(l). Differentiate g(m) wrt m.
460
Let a(o) be the first derivative of 15*o**4/4 - 5*o**2/2 + 45*o - 13. Let b(c) = 15*c**3 - 6*c + 45. Let d(n) = -6*a(n) + 5*b(n). Differentiate d(h) wrt h.
-45*h**2
Suppose d + 7 = g, 2*d = 4*g + g - 44. Find the third derivative of 14*y**2 - 25*y**2 + y**3 - y**3 + g*y**4 wrt y.
240*y
Suppose -178 = -4*l + c + c, 4*l - 4*c - 184 = 0. Differentiate 34*m*
|
{
"pile_set_name": "DM Mathematics"
}
|
= -m. Let a be -2 - (m - (4 + 0)). Let w = -11 - a. Let h(k) = k**3 + 4*k**2 - 2*k + 5. Give h(w).
13
Let s(t) = t**3 - 10*t**2 + 7. Let z be s(10). Let m(x) = 14*x - z - x**3 + 17*x**2 - 11*x**2 - 6*x. Give m(7).
0
Suppose -9 = -13*n + 4. Let a(h) = -5*h**3 + 1. Calculate a(n).
-4
Let a(g) = 17 - 27669*g**3 + 4 + 27670*g**3 + 18 - g**2 - g. Determine a(0).
39
Suppose 0 = n + 3*s - 12, s = n - 2 - 2. Let u = -62 + 63. Let m(w) = -3 - 11*w + 12*w + 5 - u. Determine m(n).
7
Let p(w) be the third derivative of w**6/120 - w**5/10 - w**3/2 - w**2. Calculate p(5).
-28
Suppose -2*r = -5 - 103. Let s(h) = 2 - 28*h - 27*h + r*h + h**2. Calculate s(0).
2
Let a = 516 - 536. Let c(o) = 3*o + 65. What is c(a)?
5
Let f(p) = 2*p**2 - 3*p. Let r(a) = 2*a**3 + 7. Let z be r(0). Suppose 4*b = 3*k + 6, 3*b - z = -2*k + 6. Determine f(b).
9
Let i(r) = -2*r - 7. Let p(d) = 5*d + 12. Let t(x) = -10*i(x) - 6*p(x). Determine t(1).
-12
Let o(f) = f**3 - 6*f**2 - 2. Let i(k) = -k + 22. Let j be 288/27*(-6)/(-8)*2. Let x be i(j). Calculate o(x).
-2
Let q(r) = 3*r - 11. Let w be q(5). Let k(i) = 7 + 2*i**3 - 10 + 5*i**2 + 5 - 3*i**3 - 4*i. Calculate k(w).
2
Let j be (-14)/(-8) - (-89)/356. Let q(y) be the first derivative of 3/2*y**j + 1/4*y**4 - 8 + y + 4/3*y**3. Determine q(-3).
1
Let i(o) = 4*o + 1. Suppose -4*c - 2*x + 4*x + 4 = 0, c + 2*x = 11. Suppose c*t = 2*l - 8, 4*t + 3*l + 10 = 22. Suppose t*j = 2*j - 2. Determine i(j).
5
Suppose -5*f + 16 = m, 3*f - 3*m - 30 = -6. Let v(q) be the second derivative of -q**3/6 - 2*q**2 - 3*q + 2592. Determine v(f).
-8
Let g(r) = -r**3 + 4*r**2 + r - 5. Let t(o) = -o**2 - 4*o - 1. Let v be t(-3). Let y = v + -4. Let w be 286/77 + y/(-7). Calculate g(w).
-1
Suppose 0 = -3*w + 4*c - 4, w - c + 1 = -w. Suppose w = 18*f - 17*f - 7. Let t(d) = d**3 - 7*d**2 - d - 2. What is t(f)?
-9
Let y(g) = -3*g + g**3 + 10 + 2*g**2 + 14 - 27. Let b be 1/(1 + (-3)/6). Suppose 3*j = -r + j, b*r + 5*j = 1. Determine y(r).
3
Let x(k) = -10*k**2 + 10*k**2 - 2*k**2 + 5*k**2. Suppose 0 = -3*j - 2*j, -2*j = l + 1. Let v be (0 + (l - 0))*-1. Determine x(v).
3
Suppose -3*i - 2 = -5*i. Let b(o) = i - o**2 + 3*o + 3*o - 4*o. Suppose -2*x + 0 - 4 = 0. Determine b(x).
-7
Let b(i) be the third derivative of -i**7/840 - i**6/360 - i**5/120 + i**4/24 - 13*i**3/6 + 8*i**2. Let r(f) be the first derivative of b(f). Determine r(0).
1
Let d = 1363 - 1376. Let q(p) = -p - 28. Calculate q(d).
-15
Suppose -33*w = -581 + 218. Let p(o) = o**3 - 9*o**2 - 22*o - 1. Calculate p(w).
-1
Let h(x) = -5*x + 3. Let b be -1 + 0 + 1*5. Let d(t) = -b - 3*t + 3 + 3. Let r(p) = 7*d(p) - 4*h(p). Calculate r(6).
-4
Let c(m) be the second derivative of m**3/6 + 4*m**2 + 2*m. Let s be (-14 - (18 + -8))/2. What is c(s)?
-4
Let l(u) = u**2 + 7*u + 8. Let q(p) = 4*p - 239. Let o be q(58). Give l(o).
8
Let k = 15 - 10. Suppose k*s + 75 = -0*g + 4*g, -3*s = g - 6. Suppose 2*r + r = -g. Let f(v) = -v - 11. Calculate f(r).
-6
Let v(r) = 3*r**2 + 2*r + 2. Let j be 0 - (-4 + 0 - 2). Suppose -8 - 4 = j*l. What is v(l)?
10
Let o(v) be the third derivative of 0 + 27*v**2 + 0*v - 1/3*v**4 - 1/60*v**5 - 3/2*v**3. Determine o(-8).
-9
Let v(f) = -6*f + f**3 + 2 + f**2 + 0 - 5*f**2. Let k = 111 + -108. Suppose -k*m - 3*j = 2*j, 5 = -2*m - 5*j. What is v(m)?
-3
Let s(o) = -14*o**2 - 5*o + 2. Let f(k) = -2*k - 34*k**2 + 1 + 62*k**2 - 33*k**2. Let z(p) = 17*f(p) - 6*s(p). Determine z(-6).
-7
Let p(g) = -g**3 - 6*g**2 - 1. Let i be 0/(-2) - (-9 - -13). Let z(t) = -t**3 - 4*t**2 + 2. Let n be z(i). Suppose 2*s = -n - 10. Calculate p(s).
-1
Let u(j) be the third derivative of j**5/20 - 2*j**3/3 + j**2 + 10. Give u(3).
23
Let g(d) = 23*d**3 + 4*d**2 - 4*d - 1. Let s(a) = -22*a**3 - 3*a**2 + 3*a + 1. Let c = -43 - -47. Let h(l) = c*g(l) + 5*s(l). Give h(1).
-17
Suppose -22*t + 23*t - 6 = 0. Let g(m) = 2*m - 7. Determine g(t).
5
Suppose 3*j + 15 = 5*d, -5*d - j = -2*j - 5. Let m(y) be the second derivative of -3/2*y**2 + d - 1/3*y**3 + 2*y + 1/12*y**4. Calculate m(4).
5
Let u(w) = w. Let g(l) = 5*l - 28. Let v(s) = -g(s) + 3*u(s). What is v(12)?
4
Let p(m) = 5*m**2 + 26*m - 63. Let y be p(-7). Let t(x) = 3*x**2 + x - 1. What is t(y)?
-1
Let a(z) = z**2 + 5*z + 1. Suppose -5*d + 174 = 24. Let m be ((-7)/((-63)/d))/((-10)/15). What is a(m)?
1
Let v(y) be the second derivative of y**5/20 + y**4/3 + y**3/3 + y**2 + 24*y + 5. Let c = 1 + -3. Give v(c).
6
Let y = -9 - -20. Let c(f) = -f**3 + 10*f**2 - 17*f + 9. Let t be c(8). Suppose 3*p = -y - t. Let r(k) = k - 1. What is r(p)?
-5
Let q be (-60)/25 - -17 - (-3)/(-5). Let o(h) = h - 19. Calculate o(q).
-5
Let g(p) be the second derivative of -p**7/1260 - p**6/240 + p**5/60 - 7*p**4/6 - 11*p. Let a(f) be the third derivative of g(f). Determine a(-3).
-7
Let b = 125 + -127. Let x(k) be the second derivative of k**3/6 + k**2/2 - k. What is x(b)?
-1
Let z(b) = b**2 - b - 6. Suppose -38 = 5*d - 53. What is z(d)?
0
Let q(l) = -l**2 + l + 6. Let t be q(3). Suppose f + t*f = 3. Let g(v) = -4 + f - 4 - v - 1. Calculate g(0).
-6
Suppose -4*c - 52 = 3*y, -5*c - 2*y - 82 = -24. Let m(x) = -x - 4. Give m(c).
6
Let n be (8 - (-21)/7)*(2 - 3). Let q(r) = -r**2 - 13*r - 10. What is q(n)?
12
Suppose -g - o = 2*g - 113, -2*g - 3*o = -87. Suppose 3*l + 3*a = -g, l - 15 + 3 = 5*a. Let d(y) = y**3 + 8*y**2 + 2*y + 11. Determine d(l).
-5
Let t(h) = 55*h - 28*h - 30*h + 1 - 4 + 15. Calculate t(7).
-9
Let g = -112 + 124. Let s(t) = t**2 - 15*t + 30. Calculate s(g).
-6
Let o(u) be the third derivative of u**8/20160 - u**7/1008 - u**6/360 + u**5/15 + 12*u**2. Let n(t) be the third derivative of o(t). What is n(4)?
-6
Let a(k) = 4*k**2 - 2*k + 15. Let h(t) = 3*t**2 - t + 15. Let v(m) = 2*a(m) - 3*h(m). What is v(0)?
-15
Let g(r) be the second derivative of r**5/30 - 5*r**3/6 + 5*r. Let z(t) be the second derivative of g(t). Let j be ((-3)/6)/((-1)/(-4)). What is z(j)?
-8
Let a(m) = -15 + 10*m + 3*m - 3 + 22 - m**2. Give a(12).
16
Let c(y) = 4*y - 3. Let j be (-2)/(-1 + (-5)/(-10)). Suppose -4*k + 4*r + 53 = 17, -j*r = 5*k. Give c(k).
13
Let o = 3 - 2. Let k(a) = 839 - a - 2525 - 4*a**2 + 843 + 842 + 3*a. Calculate k(o).
-3
Let b(k) = -1 - 11*k + 0 + 6*k**2 - 8*k**2 + k**2. Calculate b(-10).
9
Let f be 2/2 - 0 - (-1 - 0). Let n(h) = -h + 23*h**f - 1 - 10*h**2 - 5*h**2 - h**2. Give n(-1).
7
Let v = 2 - 7. Let r be (-150)/(-18) - ((-10)/6)/v. Let g(d) = -d. Determine g(r).
-8
Let z(t) be the first derivative of t**3/3 + 3*t**2 - t - 120. What is z(-4)?
-9
Let r(o) = 7 + 2 - 9 + 1 - 6*o - o**2. Suppose -12 = -4*j - 4. Suppose -j*d + 24 = -6*d. What is r(d)?
1
Let f(s) = -s**3 + 7*s**2 - 6*s - 6. Let c be ((-24)/28)/(7/(-294)). Suppose -15*p + 9*p + c = 0. What is f(p)?
-6
Suppose 31 = -5*z - 5*b - 14, z + 1 = 3*b. Let n(i) = 6*i + 35. Let l be n(z). Let x(p) = -p**2 - 6*p - 4. What is x(l)?
-11
Let u(b) be the first derivative of b**3/6 + 5*b**2/2 + 7*b - 23. Let j(x) be the first derivative of u(x). Give j(-5).
0
Let s(m) = -6*m + 2. Let h be -2*2 - (-6 + -33). Let d be ((-32)/10)/(-2) + 14/h. Determine s(d).
-10
Let d(y) = y**3 + 7*y**2 - 5*y - 1. Suppose 3*o = 7*p - 45, 5*o + p + 29 = o. What is d(o)?
-25
Let y(f) = -4*f - 2. Suppose 2*x = -2*x - 8. Let o(z) = -z**3 + 4*z**2 - z - 4. Let v be o(3). Let i be (6 + x)*(-1)/v. Determine y(i).
6
Let c(x) = -9*x**2 - 3 + 39*x**2 - 12*x**2 - 9*x**2 - 11*x**2 - 3*x. Let p(z) = -z**2 - 3*z + 2. Let g be p(-4). Determine c(g).
-5
Let m(n) = -4*n**2 - 8*n + 4. Let o(b) = -5*b**2 - 9*b + 4. Let h(c) = 6*m(c) - 5*o(c). Let u = -2606 + 2610. Give h(u).
8
Let v(c) = 3*c**2 + 2*c - 7. Let f(k) = 4*k**2 + 3*k - 10. Let l(u) = -5*f(u) + 7*v(u). Determine l(6).
31
Let z(m) = 33*m - 1359. Let y be z(41). Let o(x) = -x. Let p(q) = -q. Let f(t) = 5*o(t) - 4*p(t). Give f(y).
6
Let j(y) = y + 7. Let r(u) = -u - 6. Let c(a) = -6*j(a) - 7*r(a). Suppose -g = 4*x - 13, 0 = 3*g + 2*x + 1 - 20. Calculate c(g).
5
Let f(k) be the third derivative of k**4/12 - 2*k**3/3 + 41*k**2. Let o = -23 + 30. Give f(o).
10
Let l(j) = j**2 - 9*j + 1. Let f = 258 + -249. Give l(f).
1
Let y be (-164)/(-2)*(-3 + -3)/(-12). Let n be y - 51 - (-3 + 0 + 0). Let d(m) = m + 14. What is d(n)?
7
Let a(g) = -3*g. Let o(t) = -17*t - 1. Let k(r) = 15*a(r) - 3*o(r). Determine k(-4).
-21
Let w be (-3)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
o the nearest integer?
10
What is the square root of 1734 to the nearest integer?
42
What is the square root of 36483 to the nearest integer?
191
What is the cube root of 11528 to the nearest integer?
23
What is the square root of 13416 to the nearest integer?
116
What is the cube root of 1501 to the nearest integer?
11
What is the sixth root of 101 to the nearest integer?
2
What is 4478 to the power of 1/3, to the nearest integer?
16
What is the tenth root of 921 to the nearest integer?
2
What is the square root of 203788 to the nearest integer?
451
What is 53772 to the power of 1/2, to the nearest integer?
232
What is the sixth root of 58975 to the nearest integer?
6
What is 1445 to the power of 1/2, to the nearest integer?
38
What is the seventh root of 23208 to the nearest integer?
4
What is 2000 to the power of 1/6, to the nearest integer?
4
What is 50485 to the power of 1/2, to the nearest integer?
225
What is the fifth root of 1303 to the nearest integer?
4
What is 5542 to the power of 1/2, to the nearest integer?
74
What is the fifth root of 55937 to the nearest integer?
9
What is 3216 to the power of 1/7, to the nearest integer?
3
What is 1515 to the power of 1/2, to the nearest integer?
39
What is the square root of 7888 to the nearest integer?
89
What is the square root of 35616 to the nearest integer?
189
What is the square root of 27417 to the nearest integer?
166
What is the cube root of 1282 to the nearest integer?
11
What is the fourth root of 1312 to the nearest integer?
6
What is the third root of 11346 to the nearest integer?
22
What is the tenth root of 13219 to the nearest integer?
3
What is 98115 to the power of 1/3, to the nearest integer?
46
What is 735 to the power of 1/8, to the nearest integer?
2
What is 1185 to the power of 1/3, to the nearest integer?
11
What is the cube root of 3094 to the nearest integer?
15
What is 5848 to the power of 1/2, to the nearest integer?
76
What is the third root of 1845 to the nearest integer?
12
What is 197450 to the power of 1/4, to the nearest integer?
21
What is the square root of 349 to the nearest integer?
19
What is 26187 to the power of 1/3, to the nearest integer?
30
What is 56900 to the power of 1/3, to the nearest integer?
38
What is 12471 to the power of 1/2, to the nearest integer?
112
What is the ninth root of 26456 to the nearest integer?
3
What is 97534 to the power of 1/3, to the nearest integer?
46
What is the sixth root of 3512 to the nearest integer?
4
What is 6579 to the power of 1/7, to the nearest integer?
4
What is the third root of 8352 to the nearest integer?
20
What is 34297 to the power of 1/3, to the nearest integer?
32
What is the square root of 3990 to the nearest integer?
63
What is 1299 to the power of 1/2, to the nearest integer?
36
What is the cube root of 61994 to the nearest integer?
40
What is 962 to the power of 1/6, to the nearest integer?
3
What is the fourth root of 33 to the nearest integer?
2
What is the third root of 88869 to the nearest integer?
45
What is the eighth root of 2 to the nearest integer?
1
What is 14747 to the power of 1/3, to the nearest integer?
25
What is 2539 to the power of 1/2, to the nearest integer?
50
What is the fifth root of 17802 to the nearest integer?
7
What is the cube root of 3992 to the nearest integer?
16
What is the cube root of 63 to the nearest integer?
4
What is the square root of 1966 to the nearest integer?
44
What is the seventh root of 7844 to the nearest integer?
4
What is 269 to the power of 1/2, to the nearest integer?
16
What is the third root of 5863 to the nearest integer?
18
What is 999 to the power of 1/2, to the nearest integer?
32
What is the third root of 776 to the nearest integer?
9
What is 835 to the power of 1/4, to the nearest integer?
5
What is 40633 to the power of 1/5, to the nearest integer?
8
What is the square root of 909 to the nearest integer?
30
What is 15930 to the power of 1/5, to the nearest integer?
7
What is the cube root of 5127 to the nearest integer?
17
What is the square root of 2239 to the nearest integer?
47
What is the third root of 43891 to the nearest integer?
35
What is 737 to the power of 1/2, to the nearest integer?
27
What is the fifth root of 1212 to the nearest integer?
4
What is the fifth root of 619 to the nearest integer?
4
What is the sixth root of 6150 to the nearest integer?
4
What is the third root of 312 to the nearest integer?
7
What is 103407 to the power of 1/5, to the nearest integer?
10
What is 11286 to the power of 1/6, to the nearest integer?
5
What is 3633 to the power of 1/10, to the nearest integer?
2
What is 333 to the power of 1/3, to the nearest integer?
7
What is 11325 to the power of 1/6, to the nearest integer?
5
What is the square root of 3589 to the nearest integer?
60
What is the third root of 11105 to the nearest integer?
22
What is the third root of 23305 to the nearest integer?
29
What is 75 to the power of 1/2, to the nearest integer?
9
What is 27853 to the power of 1/2, to the nearest integer?
167
What is the square root of 1503 to the nearest integer?
39
What is 52014 to the power of 1/2, to the nearest integer?
228
What is the square root of 50964 to the nearest integer?
226
What is 119142 to the power of 1/2, to the nearest integer?
345
What is 8596 to the power of 1/4, to the nearest integer?
10
What is the fifth root of 192737 to the nearest integer?
11
What is 19492 to the power of 1/3, to the nearest integer?
27
What is the seventh root of 127417 to the nearest integer?
5
What is the sixth root of 42778 to the nearest integer?
6
What is 5734 to the power of 1/2, to the nearest integer?
76
What is 2380 to the power of 1/2, to the nearest integer?
49
What is the square root of 715 to the nearest integer?
27
What is the fourth root of 808 to the nearest integer?
5
What is 3035 to the power of 1/2, to the nearest integer?
55
What is the cube root of 3377 to the nearest integer?
15
What is the eighth root of 2302 to the nearest integer?
3
What is the square root of 9594 to the nearest integer?
98
What is 2712 to the power of 1/3, to the nearest integer?
14
What is the cube root of 128196 to the nearest integer?
50
What is 27054 to the power of 1/2, to the nearest integer?
164
What is the square root of 149870 to the nearest integer?
387
What is the square root of 1128 to the nearest integer?
34
What is the tenth root of 673 to the nearest integer?
2
What is the fifth root of 40727 to the nearest integer?
8
What is the square root of 9905 to the nearest integer?
100
What is 58800 to the power of 1/5, to the nearest integer?
9
What is 53086 to the power of 1/5, to the nearest integer?
9
What is the square root of 64824 to the nearest integer?
255
What is the square root of 26233 to the nearest integer?
162
What is 21500 to the power of 1/9, to the nearest integer?
3
What is 8944 to the power of 1/2, to the nearest integer?
95
What is the square root of 1044 to the nearest integer?
32
What is the eighth root of 1831 to the nearest integer?
3
What is 27025 to the power of 1/4, to the nearest integer?
13
What is the square root of 66467 to the nearest integer?
258
What is the cube root of 23196 to the nearest integer?
29
What is the fourth root of 895 to the nearest integer?
5
What is the third root of 3495 to the nearest integer?
15
What is 613 to the power of 1/6, to the nearest integer?
3
What is 83422 to the power of 1/10, to the nearest integer?
3
What is 156 to the power of 1/10, to the nearest integer?
2
What is the ninth root of 22210 to the nearest integer?
3
What is the square root of 411 to the nearest integer?
20
What is the cube root of 3335 to the nearest integer?
15
What is 6497 to the power of 1/2, to the nearest integer?
81
What is the square root of 1624 to the nearest integer?
40
What is 926 to the power of 1/5, to the nearest integer?
4
What is the cube root of 65304 to the nearest integer?
40
What is the cube root of 17969 to the nearest integer?
26
What is the eighth root of 9876 to the nearest integer?
3
What is 82305 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 719 to the nearest integer?
2
What is the eighth root of 2647 to the nearest integer?
3
What is the cube root of
|
{
"pile_set_name": "DM Mathematics"
}
|
emainder when m is divided by 13.
12
Let f(g) = -503*g**2 + 75*g - 35. Let q(s) = 126*s**2 - 19*s + 8. Let v(h) = 2*f(h) + 9*q(h). Calculate the remainder when v(1) is divided by 0 + 1 + 1*27.
25
Let g(i) be the first derivative of -2*i**3/3 - 15*i**2/2 + 14*i - 91. Calculate the remainder when 207 is divided by g(-7).
18
Suppose 9*t - 8*t - 7 = 0. Let p(i) = -23 - 8*i + 7*i + 9. What is the remainder when t is divided by p(-20)?
1
Suppose 2*k = 204 - 40. What is the remainder when k is divided by 5 + (7 - (3 + (7 - 10)))?
10
Suppose 3*i = 4*q + 60, 5*i = 7*q - 3*q + 92. Calculate the remainder when 3*(-3)/(-6)*34 is divided by i.
3
Let a(k) = -2*k - 5. Let b be a(-5). Calculate the remainder when 43 is divided by (-24)/((-6)/(-2) - b).
7
Let q(o) = -2*o - 12. Let m(z) = -2*z - 11. Let h(p) = 6*m(p) - 5*q(p). Let a be h(-4). Suppose 43 = a*g + 7. What is the remainder when g is divided by 9?
0
Suppose 3*u - 5*z - 384 = 0, 2*u - 12*z = -14*z + 224. Calculate the remainder when u is divided by 107.
11
Suppose 18*u - 88*u + 274 = 67*u. Let a = 48 - 4. Suppose -k + 2*k - 24 = -2*r, -u*r + 4*k = -a. Calculate the remainder when 94 is divided by r.
10
Let l = 15307 + -14722. Calculate the remainder when l is divided by (8/(-12))/(2/(-252)).
81
Suppose 13 = 8*n - 43. Suppose n*g = 12*g - 195. Let q = 27 + -17. Calculate the remainder when g is divided by q.
9
Let i be (-2 + 19/3)/(1/(-3)). Let q = i + 16. Suppose -3*x + 25 = -q*u + 4*u, 0 = -4*x. What is the remainder when 98 is divided by u?
23
Suppose 3*t = -2*t + 70. Suppose -11*b + 204 = -t*b. Let n = b + 88. What is the remainder when 179 is divided by n?
19
Suppose 972 - 97 = -5*s. Let v = s + 300. Suppose 9*t - 4*t = v. What is the remainder when 97 is divided by t?
22
What is the remainder when (-14356)/(-148) + -18 + 0 is divided by 38?
3
What is the remainder when (513 - 4) + (-230)/80 + (-2)/16 is divided by 60?
26
Let v(x) = 2*x**2 + 33*x + 146. Let m(c) = c**2 + 17*c + 73. Let s(g) = -5*m(g) + 3*v(g). Calculate the remainder when 449 is divided by s(-8).
24
Let o = 52 - -3. Suppose -57 + 45 = -4*f. Suppose -f*k + 5 = -2*i + 58, k = 5*i - 113. What is the remainder when o is divided by i?
11
Let o(y) be the second derivative of y**4/12 + y**3/6 - y**2/2 - 4*y. Suppose 18*m = 25*m - 21. What is the remainder when 41 is divided by o(m)?
8
Calculate the remainder when 241 is divided by 4/(3 - 5) - (1 + -6 - 38).
36
Suppose 5*j + 41 = -5*q + 36, 0 = 3*j + 12. Calculate the remainder when 42 is divided by q.
0
Let l(w) = -26*w + 9. Suppose 2*p = 1204 - 1200, x - 17 = 5*p. Calculate the remainder when l(-12) is divided by x.
24
Let z = 10957 + -8917. Calculate the remainder when z is divided by 11.
5
Suppose -x + 1680 = 3*x. Let p = x + -176. Suppose -3*j + p = j. Calculate the remainder when j is divided by 7.
5
Let b(d) = -306*d - 36. Calculate the remainder when b(-1) is divided by 123.
24
Let c be 1/(-2)*40/(-2). Suppose 0 = -m + c*m - 2025. Let s = -150 + m. What is the remainder when s is divided by 39?
36
Suppose 9160 = -24*q + 32320. Calculate the remainder when q is divided by 88.
85
Let n be -1 + 78 - (-55)/(-11). Let w = -45 + n. Suppose 0 = -w*i + 31*i - 48. Calculate the remainder when 23 is divided by i.
11
Let t(f) = 11*f**2 - 73*f - 220. Suppose 271 = 2*s - r, -5 = -0*r - r. What is the remainder when s is divided by t(9)?
12
Suppose 6 = -n + 3, 4*o + n - 29 = 0. Calculate the remainder when (-2967)/(-92) + (-2)/o is divided by 10.
2
Let r(h) = 458*h - 1687. Calculate the remainder when r(4) is divided by 32.
17
Suppose 768 - 7530 = -69*j. Suppose 0*r - 54 = -4*z + r, -5*z + 4*r + 73 = 0. Calculate the remainder when j is divided by z.
7
Suppose 3*m - 3*s = 15, -m + 34*s - 10 = 38*s. Suppose 5*q - 8 = -2*j - 2*j, 0 = -4*q. Calculate the remainder when j is divided by m.
0
Suppose -28*k = -21*k - 28. Suppose -5*y = -10*r + 8*r - 166, -k*y - 2*r + 140 = 0. What is the remainder when 58 is divided by y?
24
Suppose 210*g + 1938 = 227*g. What is the remainder when 1096 is divided by g?
70
Let r(g) = -2*g**2 + 30*g - 19 + 30 - 16*g. Calculate the remainder when r(5) is divided by 8.
7
Let c(l) = l**3 + l**2 + 4. Let k be c(-2). Suppose 101 = d - k*t + t, 2*d + 5*t - 214 = 0. Calculate the remainder when d is divided by 10.
7
Suppose 2*p + u - 167 = 0, -69*p + 66*p + 246 = 3*u. What is the remainder when p is divided by 82?
3
Suppose h = 4*z + 302, 2*h + 265*z - 562 = 266*z. Calculate the remainder when 289 is divided by h.
11
Let q = 108 - 61. Let k = q - 40. Suppose -4*l = -k*l + 51. What is the remainder when l is divided by 9?
8
What is the remainder when ((-168)/35)/((-2)/90*(-16)/(-24)) is divided by 128?
68
Suppose -62*t + 20 = -60*t. Let r(n) = -136*n - 1. Let f be r(2). What is the remainder when ((-12)/(-14))/((-13)/f) is divided by t?
8
Let q(s) = -3*s**2 - 4*s + 7. Let l be q(2). Let c(g) = g + 13. Let i be c(l). Calculate the remainder when 59 is divided by 20 + (0/1 - i).
19
Let b = -8854 - -9254. What is the remainder when b is divided by 34?
26
Let y be (-18)/(-45) - 57/5. Let b(q) = q**3 + 4*q**2 + q - 1. Let c be b(-4). Let f = c - y. What is the remainder when 9 is divided by f?
3
Let r be -1 + (2 - 1) + 492/(-41). Let t(l) = -22*l - 210. What is the remainder when t(r) is divided by 19?
16
Suppose 3*o + o - 24 = 0. Let z = -7 - -7. Suppose 0 = 3*f - 15, z = -5*j - 4*f + 28 + 77. What is the remainder when j is divided by o?
5
Let u = 16620 + -15413. Calculate the remainder when u is divided by 93.
91
Suppose 5453 = 31*q - 28*q - 2*a, 0 = 5*a - 10. Calculate the remainder when q is divided by 26.
25
Let z = -8127 - -8164. Calculate the remainder when 2025 is divided by z.
27
Calculate the remainder when 332 is divided by 20*(-22)/(-440) - -41.
38
Suppose -1378 = 11*j - 1785. Suppose 2*c + 2*c = 720. Calculate the remainder when c is divided by j.
32
Suppose 4*g - 863 = -w, 12 + 13 = -5*w. Let n = g - 127. Calculate the remainder when n is divided by 31.
28
Suppose 7*o - 375 = -3*n + 4*o, -2*o + 616 = 5*n. Calculate the remainder when 498 is divided by n.
10
Let p(z) = -9 + 7*z - 5*z + 2*z + 3*z. Let n be p(8). Let d = n - 34. Calculate the remainder when 36 is divided by d.
10
Let f(j) = -78*j + 447. Let m be f(6). What is the remainder when 223 is divided by (m/4 + -1)/((-10)/40)?
23
Suppose -h - 40590 = -64*h - 47*h. Calculate the remainder when h is divided by 73.
4
Suppose 4*l + 84 = 8*l. What is the remainder when (-5)/(-3*(-50)/(-2760)) is divided by l?
8
Let w(u) = 2*u**2 - u - 108. Let c be 3 - 6 - 12*(-3)/(-6). Calculate the remainder when w(c) is divided by (4 - 5) + (23 - 0).
19
Suppose 15988 + 24064 = 19*h. Calculate the remainder when h is divided by 131.
12
Let y = 1878 + -1288. Calculate the remainder when y is divided by 16.
14
Let r(d) = -d**3 - 2*d**2 + 5*d + 2. Let q be r(2). What is the remainder when -1 + 5 - (-218 - q) is divided by 20?
18
Let x be 969*(2 + -4)/(-2). Suppose -9*c = -28*c + x. Calculate the remainder when c is divided by 14.
9
Let g(h) = -64*h - 6090. Calculate the remainder when g(-100) is divided by 11.
2
Suppose -3*j - 4*v + 822 = -j, -4*v = 4. Calculate the remainder when j is divided by 193.
27
Suppose 32*z + 1 = -127. What is the remainder when 127 is divided by 61 + (z - -4 - -3)?
63
Let o = 1948 - 1941. What is the remainder when 521 is divided by o?
3
Suppose -27 = 4*g - 3*n + 42, 3*n = -2*g - 39. Calculate the remainder when ((-2)/(-2))/(g/(-2070)) is divided by 59.
56
Let u = 164 - 72. Suppose -s = 2*z - 45, 40 = z - 2*s + 6*s. What is the remainder when u is divided by z?
12
Let w(j) = -73*j + 50. Let b be w(-7). Suppose -22 = 560*c - b*c. Calculate the remainder when 174 is divided by c.
20
Let k = 329 + -123. Let m = k + -188. Calculate the remainder when m is divided by 16.
2
Let y = -78078 + 78125. Calculate the remainder when (177/(-2))/((-2)/4) is divided by y.
36
Suppose 4*b = 5*a - 1070, 3*a - 3*b - 877 + 232 = 0. What is the remainder when 5036 is divided by a?
206
Suppose -3*w + 5*l - 170 = 2*w, -48 = 2*w + 3*l. Let q be 40/260 + w/26. Calculate the remainder when 47 is divided by (-6)/(q/(-1 - -3)).
11
Let m = 293 + -269. Calculate the remainder when 71721/273 + (-10)/14 is divided by m.
22
Let v = 190
|
{
"pile_set_name": "DM Mathematics"
}
|
14592*sqrt(19)
Simplify (2 + (sqrt(275) - (1*sqrt(275)*-3 + sqrt(275)))*-2 + (3*sqrt(275)*1 - -1*sqrt(275)*-2) + 4)**2.
-300*sqrt(11) + 6911
Simplify (-2*sqrt(76)*5 + 6*sqrt(76)*-2)/(-6*(-2*sqrt(4) - sqrt(4)) + -1*sqrt(324)) + 4.
-22*sqrt(19)/9 + 4
Simplify 4*(((2*sqrt(275)*-5)**2 - (2 + (sqrt(275) + -2)**2)) + (sqrt(275) + -1)*-2 + sqrt(275) + (sqrt(275)*-1 - sqrt(275) - sqrt(275)) + -1 + -3).
108868
Simplify (1*(0 + (sqrt(76) + (sqrt(76) + -1)*3)**2*2) + 2)*4.
-384*sqrt(19) + 9808
Simplify 5*((sqrt(136) + sqrt(136)*-3 - sqrt(136))/sqrt(4) + sqrt(204)/(sqrt(24)/sqrt(4)) + sqrt(34))/(sqrt(198)/(sqrt(44)/(sqrt(4) + sqrt(64) - sqrt(4)))).
-5*sqrt(17)/12
Simplify -6*(sqrt(272) + 1*sqrt(272)*3 + sqrt(272) + ((sqrt(272) + -1)*6)**2 + (2*(sqrt(272)*-2 + sqrt(272)) + sqrt(272)*-1*-3 + 5)**2).
-60750 + 1368*sqrt(17)
Simplify -4*((4*(-5 + -6*(sqrt(75) - (sqrt(75) - (sqrt(75) - sqrt(75)*-3)))))**2 - ((sqrt(75)*4 - sqrt(75))*1 + (sqrt(75) - (5 + (2*sqrt(75))**2)))).
-2767620 - 76720*sqrt(3)
Simplify 1 + ((sqrt(190)*2*1 - sqrt(190)*1*5)*6)/((2*(sqrt(100) + (sqrt(100) - (-1*sqrt(100) + sqrt(100)))))/(sqrt(60)/sqrt(24))).
-9*sqrt(19)/4 + 1
Simplify 4*sqrt(42)/sqrt(6)*-6*6 - sqrt(35)/((-2*sqrt(30))/sqrt(6))*-4.
-146*sqrt(7)
Simplify -2*(2*(3 + sqrt(425) + 4) + (sqrt(425) - (3*(sqrt(425) + -2) + sqrt(425)) - sqrt(425))*-3 + -1).
-140*sqrt(17) + 10
Simplify ((sqrt(40)*2*-6 + (sqrt(120)/sqrt(3) + sqrt(40))*-3)/((-2*sqrt(640))/(-1*sqrt(15)/sqrt(3))))**2.
405/16
Simplify (5*(sqrt(56)/(sqrt(12)/sqrt(3)) - (sqrt(70)*-1)/sqrt(5)))/(3*-2*(sqrt(175) - sqrt(7))*5).
-sqrt(2)/12
Simplify (1*(sqrt(17) - (sqrt(17) - sqrt(51)/sqrt(3))) + sqrt(1700)*-2 - (-2 + sqrt(119)/(sqrt(21)/sqrt(3)) + 2))**2.
6800
Simplify ((sqrt(735)*-2 - sqrt(735) - sqrt(735))*-6*6)/(sqrt(490)/sqrt(2) + sqrt(5) - sqrt(45)*5).
-144*sqrt(3)
Simplify ((-3 + -1*sqrt(171))*-3 + 1*(2*sqrt(19) - sqrt(19)) + (sqrt(228)*4)/sqrt(12))**2.
252*sqrt(19) + 3805
Simplify (0 + -2*sqrt(112))*6 - (sqrt(252) + sqrt(252)*-2 + 0 + 1).
-42*sqrt(7) - 1
Simplify (-4*-1*sqrt(108)*1)/((sqrt(128)/(1*sqrt(8)))/(2*sqrt(4)*-1)).
-24*sqrt(3)
Simplify (((sqrt(68) - ((0 + sqrt(68) + -4)**2 - sqrt(68))) + sqrt(68))*6 - -1*(1*-3*sqrt(68))**2)*2.
216 + 264*sqrt(17)
Simplify 3 + 0 + (3 + sqrt(108) + 4 - sqrt(108)) + -5 + -4.
1
Simplify 2*((sqrt(21) - (sqrt(2541) + sqrt(2541) + sqrt(2541)*-2) - sqrt(63)/sqrt(3)*1)/(-3*sqrt(9)/sqrt(3) + sqrt(75)*-1))**2 + 5.
5
Simplify ((sqrt(19)*3 + 2)**2 - (4*sqrt(228))/sqrt(12)) + 5 + 5 + (-2 + sqrt(475) - sqrt(19)).
12*sqrt(19) + 183
Simplify (((sqrt(98) + 0)*4 + sqrt(98) + 1 + 1*sqrt(98) + sqrt(98))**2 + sqrt(288)/sqrt(144) + (-2*sqrt(12))/sqrt(6)*-5)*-5.
-24015 - 545*sqrt(2)
Simplify (-1 + (4 + ((-3 + sqrt(612)*-1 - sqrt(612)) + 0 + sqrt(612)*1 - -4*(4 + (sqrt(612) - sqrt(612)*1))))*5)**2.
-5040*sqrt(17) + 22356
Simplify 5*(((-2*sqrt(150))/sqrt(3))/(sqrt(10) + sqrt(1210)*-3)*-1)**2.
25/256
Simplify 3 + -5*(sqrt(16)/(-1*sqrt(8)*2) + 3*sqrt(6)/sqrt(3) + (sqrt(2) - (sqrt(32) - sqrt(8))**2) + -3).
-35*sqrt(2)/2 + 58
Simplify 5 + 5 + ((sqrt(396)*2 + -2)*-3 + -4*5*(sqrt(396) + 3))**2.
16848*sqrt(11) + 270622
Simplify 1*(sqrt(102)/(sqrt(48)/(sqrt(64)/sqrt(8))))**2 - ((-6*(-1*sqrt(170) + sqrt(170) - sqrt(170)))/(-1*sqrt(640)))**2.
119/16
Simplify ((-2 + (5*sqrt(1900) + sqrt(19))**2)*2 - (-3 + (sqrt(1216) - (-3*(sqrt(1216) + 0 + sqrt(1216)) - sqrt(1216)))**2))*-3.
-63039
Simplify -1*(0 + 3*(-3*-1*(sqrt(1008) + 1*sqrt(1008) + 3))**2 + -2).
-109105 - 3888*sqrt(7)
Simplify (sqrt(171) + sqrt(171) + (2 + sqrt(171))*-5 + 1 + 0)**2 - (((1*(sqrt(171) - 4*sqrt(171)))**2 - sqrt(171)) + ((0 + sqrt(171))*-2 + sqrt(171))**2).
-90 + 165*sqrt(19)
Simplify -2*(((sqrt(117) - 2*sqrt(117))**2*6 + 2)*3 + (-4*(sqrt(117) - sqrt(117)*-1*5) + 3)**2).
-139026 + 864*sqrt(13)
Simplify (5 + -2*(sqrt(832) - (sqrt(832) + -4 + -2)) + (6*(-2 + sqrt(832)) - (-2 + (sqrt(832) - -1*sqrt(832)))))**2.
-1088*sqrt(13) + 13601
Simplify (3*(-1 + 1*-2*sqrt(300)) + 4 + (-3*(-1 + sqrt(300)) - (sqrt(300) + 4 + -1*sqrt(300))))**2.
24300
Simplify ((sqrt(99) - sqrt(99)*-1)*6 + (sqrt(99) - (sqrt(99) + sqrt(99) + 6*(sqrt(99)*1 + sqrt(99)))))/((sqrt(99) - 2*(-2*sqrt(99) + sqrt(99)))/(sqrt(396)*-2)).
4*sqrt(11)
Simplify 3 + (-4*(-4 + -1*sqrt(200)))**2 + (5 + sqrt(216)/(-3*sqrt(48)))**2.
1275*sqrt(2) + 6969/2
Simplify 4 + ((-2*(0 + sqrt(432)))**2 + 6*((sqrt(432)*2)**2 + sqrt(432)) - (-1 + (sqrt(432) - sqrt(432)*2) + 2)**2)*4 + 1.
384*sqrt(3) + 46657
Simplify 0 + -5*(3*(2*sqrt(76)*-2)/sqrt(4) - ((sqrt(209) + (sqrt(209) - sqrt(209)*-2*4))/(sqrt(99)*-1 - sqrt(11)))**2).
60*sqrt(19) + 2375/4
Simplify -5 + (-2*(sqrt(272) + 5 + sqrt(272)*1 + sqrt(272) + -1 + sqrt(272) + 3)*4)**2.
14336*sqrt(17) + 281659
Simplify ((-1 + (sqrt(2048) + 1 - (sqrt(18)*2 - (sqrt(2) + sqrt(2) + 0 + 5))))*1)**2.
280*sqrt(2) + 1593
Simplify -1*(-4 + ((sqrt(2) + (-4 + sqrt(8) - sqrt(2)))*6 - (((-4 + sqrt(288) + -3*sqrt(288))**2 - sqrt(288)) + sqrt(288)))).
180*sqrt(2) + 1196
Simplify 5 + ((sqrt(294)*-2)/sqrt(7)*-4)/(sqrt(30)/(sqrt(5) + sqrt(135)/sqrt(3))) + 4.
9 + 32*sqrt(7)
Simplify -2*-4*(sqrt(1300) - (-2 + sqrt(1300) + sqrt(1300))) + (-6*((sqrt(26)/sqrt(2) + -2 - sqrt(13) - sqrt(13)) + -3))**2.
280*sqrt(13) + 1384
Simplify (4 + ((sqrt(637) + 1)*-1 - sqrt(637)) + 3 - (sqrt(637) + sqrt(637) + 4 + sqrt(637) + 5 - (sqrt(637) + sqrt(637) + 5 + -3)))**2.
42*sqrt(13) + 5734
Simplify ((-2*sqrt(144))/(5*2*sqrt(2)) + -5)**2 - ((sqrt(288)*-1)/(-6*sqrt(18)/sqrt(2)) + 3).
34*sqrt(2)/3 + 622/25
Simplify ((sqrt(98)*-5 + -4 - (sqrt(98) + -3)*3) + 0)**2*-4.
-25188 + 2240*sqrt(2)
Simplify 3 + (-1 + 4*sqrt(5)*3)**2 + (1 + (sqrt(320) + -1 - sqrt(320)))*1.
-24*sqrt(5) + 724
Simplify -2 + 5 + 1*((((sqrt(475) + 0 + 1 - sqrt(475)) + 0 + sqrt(475) + -1)*-4)**2 + 5).
7608
Simplify (-4 + -1 + sqrt(3) - ((sqrt(3) - (sqrt(3) + 1)) + sqrt(3) + -3))**2 + (-1*sqrt(15)*1)/sqrt(5) + (-2*sqrt(3) + -4 + 4 - (-2 + sqrt(18)/(-2*sqrt(6)))).
-5*sqrt(3)/2 + 3
Simplify 1 + 5 + ((sqrt(2057) - (3 + 2*sqrt(2057))**2) + -4 - (3 + (0 + sqrt(2057) - sqrt(2057)))**2*-2).
-8217 - 121*sqrt(17)
Simplify ((sqrt(28)*2 + 4 - sqrt(28)) + 2*sqrt(1008))**2 - (sqrt(343) + -4*sqrt(343))*3*2.
334*sqrt(7) + 4748
Simplify 5*(3 + -3 + sqrt(104)/sqrt(128) + ((sqrt(208) + (sqrt(208) + 4)*-5 + sqrt(208))*4)**2).
153605*sqrt(13)/4 + 181760
Simplify ((sqrt(196) - (sqrt(196) - sqrt(196)*4))*-4*2)/(sqrt(7) + (sqrt(7) - 5*-3*sqrt(7)) + sqrt(112) + sqrt(112)*-2) + 1.
-64*sqrt(7)/13 + 1
Simplify (-1*2*sqrt(132) - sqrt(132))/(3*sqrt(1584) - sqrt(1584)) + 1 + 5.
-sqrt(3)/4 + 6
Simplify ((4*(sqrt(2057) - sqrt(2057)*-2)*6 + 2*(-2 + sqrt(2057) + 5))*-4)**2 + 0.
156288*sqrt(17) + 180226688
Simplify (((sqrt(32)/sqrt(4))/sqrt(4) + 1 + 0)*-1 + (1 + ((sqrt(4)/sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(2))*-1 + 1)*-6)**2.
26*sqrt(2) + 171
Simplify -2 + 4 + 3 + 2*(-3*sqrt(125) + -2) + 3.
-30*sqrt(5) + 4
Simplify 6*(-4*((3 + 3*sqrt(612)*-1 + 5)*-6*-1 + -4))**2.
-912384*sqrt(17) + 19221504
Simplify (0 + -5 + (5 + 2 + sqrt(275) - (1 + sqrt(275) + -1)) + 2 + 2)**2.
36
Simplify 6*sqrt(637)*2 - (sqrt(208) + -5)*-2 - (-1 + 5 + -6*(sqrt(13) - sqrt(104)/sqrt(72) - sqrt(13))).
-14 + 90*sqrt(13)
Simplify (-3 + (sqrt(39)/sqrt(3) + 4 + sqrt(13) - sqrt(260)/sqrt(5)) - (((sqrt(13) + -5)*6 - sqrt(13)) + -4)*-4)**2.
-5400*sqrt(13) + 23425
Simplify 4*(2*(3 + (1 + (sqrt(1300) - (sqrt(1300) + -3*sqrt(1300))) - (sqrt(1300) + 1 + -1)) + -3))**2.
640*sqrt(13) + 83216
Simplify (((sqrt(76) - 2*sqrt(76))*5 - (sqrt(76) - (2*sqrt(76)*-2 + sqrt(76))))/((sqrt(4) - sqrt(12)/(sqrt(9)/sqrt(3))) + 2*sqrt(12)/sqrt(3))*-4 + 5)*3.
15 + 54*sqrt(19)
Simplify -5*5*((-4 + 1 + (sqrt(425)*-2 - sqrt(425) - sqrt(425)))**2 - (-6*(sqrt(425) + 1)**2 - sqrt(425) - (-4 + sqrt(425) + 1))) + -3.
-234053 - 4750*sqrt(17)
Simplify ((2*sqrt(204)*-1 - (-4*sqrt(204)*1 + sqrt(204)))*1)/(sqrt(1728)*2*-4 - (sqrt(1728) - (sqrt(1728)*2 - sqrt(1728)))*1).
-sqrt(17)/96
Simplify 3*((-4 + sqrt(2736) + sqrt(2736) + 1 - -3*(1 + sqrt(2736)))**2 + ((-1*(sqrt(2736) + 2))**2 - sqrt(2736) - sqrt(2736)) + -1).
72*sqrt(19) + 213417
Simplify (-6*(-3 + (-5 + sqrt(176) + (0 + sqrt(176) - sqrt(176) - sqrt(176) - sqrt(176)) + -3*(sqrt(176) + 1))*2) + -5 + -5)**2.
39936*sqrt(11) + 416320
Simplify (sqrt(1620) - -1*sqrt(1620) - (sqrt(450)/sqrt(490) - sqrt(45)
|
{
"pile_set_name": "DM Mathematics"
}
|
-14508*l**3
Collect the terms in 1435851 + 1435635 - 2871486 + 3*f.
3*f
Collect the terms in 51821*v**2 + 53551*v**2 - 105341*v**2.
31*v**2
Collect the terms in 119*x**3 + 1436*x**2 - 360*x**2 - 363*x**2 - 355*x**2 - 358*x**2.
119*x**3
Collect the terms in -3*j**3 + 119*j - j**2 - 119*j + 136 + 20*j**3.
17*j**3 - j**2 + 136
Collect the terms in -13*t**2 - 9*t**2 + 713 - 17*t**2 + 13426 + 37*t**2.
-2*t**2 + 14139
Collect the terms in -14039*a**2 + 28086*a**2 - 14047*a**2 - 307*a**3.
-307*a**3
Collect the terms in -27*n**2 + 9573625 - 9573627 + 427*n**2.
400*n**2 - 2
Collect the terms in 3*z - 64*z - 696 - 76*z - 683 - 683 + 2064.
-137*z + 2
Collect the terms in -2907 + 4721*h + 1291 - 2540.
4721*h - 4156
Collect the terms in 35664 - 106977 - 4*r + 35641 + 35672.
-4*r
Collect the terms in -5623*w**3 - 164*w**3 + 2 - 575*w**3 + 2*w.
-6362*w**3 + 2*w + 2
Collect the terms in 384218*o - 768980*o + 384762*o + 24*o**2.
24*o**2
Collect the terms in 9568197176*z - 4784098608*z - 4784098566*z.
2*z
Collect the terms in -494*y**2 + y + 302*y**3 + 494*y**2 - 6947 + 6947.
302*y**3 + y
Collect the terms in -2*k**3 - 282192*k**2 + 282192*k**2 - 133*k.
-2*k**3 - 133*k
Collect the terms in 27*u + 28*u - 55*u - 428*u**3 + 57*u**3.
-371*u**3
Collect the terms in -13*l**2 - 83 + 402 - 319 - l**3 + 4*l**2 + 9*l**2.
-l**3
Collect the terms in -30*h**3 - 57 - 51 - 66 + 229 - 50.
-30*h**3 + 5
Collect the terms in 28 + 67*u + 61*u - 11*u**2 + 13*u**2.
2*u**2 + 128*u + 28
Collect the terms in 6*g + g**2 + 3*g**2 + 4*g**2 - 30*g + 6*g**2.
14*g**2 - 24*g
Collect the terms in 54*z**2 - 1 - 107*z + 88*z + 74*z**2.
128*z**2 - 19*z - 1
Collect the terms in 1269*w**2 - 1779*w**2 + 484*w**2 - 33*w.
-26*w**2 - 33*w
Collect the terms in -313424*l - 1 + 160180*l - 305068*l.
-458312*l - 1
Collect the terms in 4*l**3 - 6075*l + 3035*l + 3037*l + 4864*l**3.
4868*l**3 - 3*l
Collect the terms in -113 - 114 - 1485*a**3 + 342 - 115.
-1485*a**3
Collect the terms in 0*l - 160783498049 + 0*l - l**3 + 160783497782.
-l**3 - 267
Collect the terms in 23120074*d**2 - 2*d - 23021186*d**2 + 2*d.
98888*d**2
Collect the terms in 57*j**3 + 46*j**3 + 80*j**3 + 7 - 14 + 2*j**2 - 5.
183*j**3 + 2*j**2 - 12
Collect the terms in 727097 - 399*r**2 - 727097.
-399*r**2
Collect the terms in -7213*n**3 - 7213*n**3 - 7188*n**3 + 28837*n**3 - 7222*n**3.
n**3
Collect the terms in 2 + 41*k**3 - 590264*k**2 + 590264*k**2.
41*k**3 + 2
Collect the terms in -12*o**3 - 2232*o**2 + 2224*o**2 + 193*o**3 + 216*o**3 + 87*o**3.
484*o**3 - 8*o**2
Collect the terms in -101 - 119 - 69 - 104 + 393 - p.
-p
Collect the terms in 207*x - 184*x + 695*x + 550*x.
1268*x
Collect the terms in 81 - 87*n**2 - 6 - 75.
-87*n**2
Collect the terms in 3431*r + 18 + 10 - 28 - 658*r.
2773*r
Collect the terms in -69 + 1300*i**2 + 40 - 28 - 86.
1300*i**2 - 143
Collect the terms in 213*r**2 + 853006 + 16*r**2 - 853006.
229*r**2
Collect the terms in -93 - 29 + 4*v + 97 + 23.
4*v - 2
Collect the terms in 184522 - 4*g - 4*g**2 + 7*g - 3*g - 184522 + 33*g**2.
29*g**2
Collect the terms in -36*k - 2*k - 5*k + 51*k - k**3 - 8*k.
-k**3
Collect the terms in -41*x + 41*x - 6*x**2 + 28697 - 28697.
-6*x**2
Collect the terms in 4*z + 3*z - 27*z**3 + 64*z**3 - 4*z**3 + 47*z**3 - 8*z.
80*z**3 - z
Collect the terms in -1955079 + 9*p + 1955079 + p**2.
p**2 + 9*p
Collect the terms in -17*x + 0 + 4 - 4087*x**2 + 4091*x**2.
4*x**2 - 17*x + 4
Collect the terms in 4225*b**2 - 25363*b**2 + 4228*b**2 + 4232*b**2 + 4227*b**2 + 4224*b**2 + 4230*b**2.
3*b**2
Collect the terms in -1354*j**3 - 1340*j**3 - 1257*j**3 + 3955*j**3.
4*j**3
Collect the terms in 456552*c**3 - 228695*c**3 - 228847*c**3.
-990*c**3
Collect the terms in -2 + 2 - 436*x + 1441*x - 459*x - 397*x.
149*x
Collect the terms in -j**3 - 1231 + 406 - 29*j + 416 + 409 - 3*j**2.
-j**3 - 3*j**2 - 29*j
Collect the terms in 179*y**3 - 192*y**3 - 4546*y**2 + 19*y + 4546*y**2.
-13*y**3 + 19*y
Collect the terms in 321*n - 11*n**2 - 349*n**3 - 63*n**3 + 403*n.
-412*n**3 - 11*n**2 + 724*n
Collect the terms in 6*u**3 - 5*u**3 + 3610 + 21889 + 4*u**3.
5*u**3 + 25499
Collect the terms in -6 + 7611562013*a**2 + 6 - 7611561824*a**2.
189*a**2
Collect the terms in -1365 - 4202*k + 8399*k - 4199*k.
-2*k - 1365
Collect the terms in -979*c - 1026 - 1025 + 3080 - 1028.
-979*c + 1
Collect the terms in 150*c - 495*c - 363*c.
-708*c
Collect the terms in 2400 - 2396 + 3422*l + 3896*l.
7318*l + 4
Collect the terms in 6*u - 33250321 + 3*u + 33250321.
9*u
Collect the terms in 6*h**3 - 2817*h**2 - 2816*h**2 + 5633*h**2 - 5*h**3.
h**3
Collect the terms in -3858*o**3 - 909*o**3 - 29840*o**3 + 964*o**3 - 14432*o**3.
-48075*o**3
Collect the terms in 206 + 601129*i**3 - 47 - 601121*i**3.
8*i**3 + 159
Collect the terms in -122067*g**3 + 61511*g**3 + 60875*g**3.
319*g**3
Collect the terms in 17515*h**2 - 21701*h**2 - 3605 + 3605 - 20491*h**2.
-24677*h**2
Collect the terms in 571929*y - 19*y**2 - 285958*y - 285971*y.
-19*y**2
Collect the terms in -88 - 84 + 136*r**2 + 64*r + 57*r + 172.
136*r**2 + 121*r
Collect the terms in -35553*l**3 - 35517*l**3 - 35594*l**3 + 106757*l**3.
93*l**3
Collect the terms in 48*s**3 + 51*s**3 - 152*s**3 - 114 + 10 - 28 + 50*s**3.
-3*s**3 - 132
Collect the terms in -1757*c**3 + 3826*c**3 - 532*c**3.
1537*c**3
Collect the terms in 82*m**2 - 476 + 329 + 147 + 2*m.
82*m**2 + 2*m
Collect the terms in 34 - 238*v - 239*v - 239*v - 251*v + 1213*v - 241*v.
5*v + 34
Collect the terms in 2945 - 1469 - 15*s - 1475.
-15*s + 1
Collect the terms in -2686*o**2 - 1 - 295*o**2 - 1 + 371*o**2.
-2610*o**2 - 2
Collect the terms in -w**2 + 3*w**2 - 17*w**2 + 3*w**2 - 3*w**2 + 19*w**2.
4*w**2
Collect the terms in 208348*w**3 - 416880*w**3 + 208536*w**3.
4*w**3
Collect the terms in 1 + o**2 - 667*o - 155*o - 1029*o - 732*o - 17*o.
o**2 - 2600*o + 1
Collect the terms in 81867875 - 81867875 + 0*n - 4*n.
-4*n
Collect the terms in -3809*i + 3202*i + 322*i + 315*i.
30*i
Collect the terms in 96*t**2 + 7093 - 100*t**2 + 1096.
-4*t**2 + 8189
Collect the terms in 67*b**2 - 13*b**2 - 2 + 11400*b - 1 + 4.
54*b**2 + 11400*b + 1
Collect the terms in 382579847772 + 7*f**2 - 382579847772.
7*f**2
Collect the terms in 19*c**2 - c**2 - 20*c**2 - 4*c + 1599 + 4*c.
-2*c**2 + 1599
Collect the terms in 52*w**3 + 28*w - 160*w - 30*w**3.
22*w**3 - 132*w
Collect the terms in 3 - 2 + 17*s - 93*s + 503*s.
427*s + 1
Collect the terms in -681*j**2 - 196*j**2 + 0 + 0 + 1515*j**2.
638*j**2
Collect the terms in 1565*m**2 + 1561*m**2 + 2337*m**2 - 7015*m**2 + 1558*m**2.
6*m**2
Collect the terms in -10362025*a**2 + 5180948*a**2 + 5181074*a**2.
-3*a**2
Collect the terms in -16027*y + 7985*y + 22 - 22 + 8023*y.
-19*y
Collect the terms in -10360*s**3 + 696 - 1390 + 694.
-10360*s**3
Collect the terms in -5*q**2 + 0*q**2 + 5*q**2 + q**2 - 2*q**3 - 2*q**2 + 8663*q.
-2*q**3 - q**2 + 8663*q
Collect the terms in 2492*a + 720*a - 437*a + 2101*a.
4876*a
Collect the terms in -38840*u - 80 + 27 + 24 + 29.
-38840*u
Collect the terms in 157364*t**3 + 157400*t**3 - 314772*t**3.
-8*t**3
Collect the terms in -559 + 0*t - 5*t - t + 0*t + 4*t.
-2*t - 559
Collect the terms in 2649*s + 8*s**2 + 2463*s - 7566*s + 2454*s.
8*s**2
Collect the terms in 134*k**2 - 2 - 1012*k - 2083*k - 1013*k.
134*k**2 - 4108*k - 2
Collect the terms in 3 - 42222*i**2 + 65605*i**2 + 61318*i**2 - 3.
84701*i**2
Collect the terms in -78305111 - 411*x**3 - 30*x**3 + 78305111.
-441*x**3
Collect the terms in -3*w**2 + 0*w**2 - 3*w + 8*w**2 - 853 + w**2 - 8*w**2.
-2*w**2 - 3*w - 853
Collect the terms in -3*l - 1172578*l**3 + 1172733*l**3 - 5*l + 8*l.
155*l**3
Collect the terms in -426*u + 131*u + 173*u.
-122*u
Collect the terms in 3*l**2 + 11604*l - 3135*l + 8 + 17 - 24.
3*l**2 + 8469*l + 1
Collect the terms in -2926*r**2 - 2246*r**2 - 2378*r**2 + 6793*r**2.
-757*r**2
Collect the terms in -2894*y**2 + 2895*y**2 + 28*y + 92 - 94.
y**2 + 28*y - 2
Collect the terms in 62*b**2 + 64*b**2 + 83*b**2 + 81*b**2 - 508*b**2 + 102*b**2 + 68*b**2.
-48*b**2
Collect the terms in -1 + 1 - 7296994*i + 7296991*i.
-3*i
Collect the terms in -10299*q + 20943*q + 18636*q.
29280*q
Collect the terms in 4 - 4 - 1972*w**2 - 2205*w**2 + 139*w + 4175*w**2.
-2*w**2 + 139*w
Collect the terms in 9678 + 9666 + 9667 + 11*v**2 - 29015.
11*v**2 - 4
Collect the
|
{
"pile_set_name": "DM Mathematics"
}
|
3*o
Find the first derivative of -32*a*f**3*z**2 + a*z**2 + a*z - a - 313*f**3 wrt z.
-64*a*f**3*z + 2*a*z + a
What is the third derivative of -59*f**3 - 153*f**2 wrt f?
-354
Find the second derivative of 4*b*h**2*o*v**2 + b*h**2*o - 41*b*h*o*v**2 + 5*b*h*o + 6*b + 31*h**2*o*v**2 + o*v**2 wrt h.
8*b*o*v**2 + 2*b*o + 62*o*v**2
Find the third derivative of -58*n**2*u*z**4 - 4*n**2*u - n**2*z**3 - 203*n*u*z**2 - 2*n*u*z + 2*n*z**2 wrt z.
-1392*n**2*u*z - 6*n**2
Find the third derivative of -7*h**6 + 29*h**3 - 50*h**2 + 2*h wrt h.
-840*h**3 + 174
What is the first derivative of 36*c**2 + 11*c - 657?
72*c + 11
Find the second derivative of 41*i**5 + 34*i**3 + 3*i**2 - 13*i + 401 wrt i.
820*i**3 + 204*i + 6
Find the second derivative of 8*m*t**3 - 154*m*t - 2*t**2 wrt t.
48*m*t - 4
Find the second derivative of 3*p**2*x**2 + 57*p**2*x + 9*p*x**4 - p wrt x.
6*p**2 + 108*p*x**2
What is the third derivative of 9322*r*v**3 + 18*r + v**2 + 55*v - 2 wrt v?
55932*r
Find the first derivative of 22*g*m**2 - m**2 wrt g.
22*m**2
Find the third derivative of 20*h**3*o*v**2 - 7*h**3*o - h**2*o*v**2 - 2*h**2*o - 205*h*o*v**2 - 2*h*o wrt h.
120*o*v**2 - 42*o
Find the first derivative of -c**3 - 2*c - 252 wrt c.
-3*c**2 - 2
Differentiate 21*b*c - 21*b*f + b*s**2 - 2*c*f*s**2 + 4*c*f - 4*c*s**2 - 13*c*s wrt b.
21*c - 21*f + s**2
Find the second derivative of -92*w**3 - 89*w wrt w.
-552*w
What is the derivative of 73*b + 182?
73
What is the third derivative of 478*x**3*y**3 - 68*x**2*y**2 + x**2 - 13*y**3 wrt x?
2868*y**3
Differentiate 852*t + 1422.
852
Find the third derivative of 14538*a**3*u**3 + 21*a**3*u + 395*a*u**2 wrt u.
87228*a**3
What is the first derivative of -39*u**2 - 2*u - 919?
-78*u - 2
Find the second derivative of 5*n*v**3 + 289*n*v + n - 700*v**4 wrt v.
30*n*v - 8400*v**2
What is the first derivative of 2*s**2 - 1831*s*u + s - u - 3411 wrt s?
4*s - 1831*u + 1
Find the third derivative of -3335*m*r**3 - 2*m + 2*r**3 + 7254*r**2 wrt r.
-20010*m + 12
What is the third derivative of 2*l**4*x - 7*l**4 + l**3*x + 28*l**2 + x wrt l?
48*l*x - 168*l + 6*x
Find the third derivative of -358*b**6 + 3*b**3*c - 3*b**2*c - 785*b wrt b.
-42960*b**3 + 18*c
What is the third derivative of -31*n**5 + 5*n**4 - n**3 + 13700*n**2 wrt n?
-1860*n**2 + 120*n - 6
What is the third derivative of -105*a**4*z**3 - 3*a**4*z - 8*a**2*z**3 - 484*z**2 wrt a?
-2520*a*z**3 - 72*a*z
Find the first derivative of 287*c**3 - 160 wrt c.
861*c**2
What is the first derivative of -2*j**2*p*s**2 + 2*j**2*s - 2*j*p*s**3 + 33*j*p + 3*j*s**3 + 427*j*s**2 wrt p?
-2*j**2*s**2 - 2*j*s**3 + 33*j
What is the third derivative of 184*b**3 - 72*b**2 - b wrt b?
1104
What is the second derivative of d**4 - 534*d**3 + 354*d wrt d?
12*d**2 - 3204*d
Find the second derivative of -40*k**3*o**2 + 997*k**3*o - 2*k**3 - k**2*o**4 + 2 wrt o.
-80*k**3 - 12*k**2*o**2
What is the third derivative of 43*d**5*i - 8*d**5 - d**3 - 17*d**2*i - d - 6*i wrt d?
2580*d**2*i - 480*d**2 - 6
Find the second derivative of 7429*h*n**3 + h*n - 42*h - 2*n + 3 wrt n.
44574*h*n
Differentiate -10*v**2*x - 2*v**2 + 7*v + x + 15 wrt v.
-20*v*x - 4*v + 7
Find the first derivative of -3*y**4 - 94*y**2 + 2*y + 9044.
-12*y**3 - 188*y + 2
Differentiate -20*y**3 + 2*y - 38.
-60*y**2 + 2
Find the first derivative of 41*k**4*x**3 - 2*k**4*x - 5*k*x + 11526*x**3 wrt k.
164*k**3*x**3 - 8*k**3*x - 5*x
Find the third derivative of 2*p**5 + 576*p**4*v - 4784*p**2*v wrt p.
120*p**2 + 13824*p*v
Find the third derivative of 5*b*k**4 - 4*b*k**3 - 99*b*k**2 + 5*k**4 + 2*k**2 - 1 wrt k.
120*b*k - 24*b + 120*k
What is the first derivative of m**3 + 126*m**2 + 3782?
3*m**2 + 252*m
What is the first derivative of -2*d*h - 89*d*i**2 - 3*h*i**3 - 4*h - 4*i**3 wrt h?
-2*d - 3*i**3 - 4
Find the first derivative of -2*n**2*r**3 + 7*n**2 + r**4 - 31 wrt r.
-6*n**2*r**2 + 4*r**3
What is the third derivative of 310*c**3 - 2*c**2 - 26*c wrt c?
1860
Differentiate -8*g**2 - 24*g + 601 with respect to g.
-16*g - 24
Differentiate c**2 - 232*c + 626 wrt c.
2*c - 232
Differentiate 221*a**2 + 1098 wrt a.
442*a
Find the second derivative of 1782*c**3 + c**2 + 8595*c.
10692*c + 2
What is the second derivative of 20674*f**2 - 14903*f?
41348
Find the third derivative of 3*c**2*p**4 + 18*c**2*p**2 + 4*c**2*p + 7*c*p**2 + 29*p**6 wrt p.
72*c**2*p + 3480*p**3
What is the first derivative of 18*c**2*s + 924*c**2 - 8*s**3 wrt s?
18*c**2 - 24*s**2
Find the first derivative of 4916*a**2 - a*o**2 - 7962*o**2 wrt a.
9832*a - o**2
Find the third derivative of -13*h**2*t*z**3 + h**2*t - h*t*z**3 - 10*h*t*z**2 + 2*h*t + 33*t*z**3 wrt z.
-78*h**2*t - 6*h*t + 198*t
What is the second derivative of -2*j**4 - 59*j**2 - 93*j + 13?
-24*j**2 - 118
Find the third derivative of 15*q**5 + 632*q**3 + 10*q**2 + 19*q + 24.
900*q**2 + 3792
Find the first derivative of 15169*f*r - 45*r - 7 wrt f.
15169*r
What is the second derivative of -8*u**5 - 4*u**2 + 166*u wrt u?
-160*u**3 - 8
Find the third derivative of -5*o*z**6 - o*z**3 - 25*o*z + 12*z**6 + 2*z**2 wrt z.
-600*o*z**3 - 6*o + 1440*z**3
Differentiate -530*f**4*z - 2*f**3*z - 4*z + 90 wrt f.
-2120*f**3*z - 6*f**2*z
Find the third derivative of 149*k**5 + 131*k**2.
8940*k**2
Differentiate 1325*b**3*u - 737*u wrt b.
3975*b**2*u
What is the first derivative of g*o**3 - 5*g*o - 110*g - 8*o**3 - 403 wrt g?
o**3 - 5*o - 110
Differentiate 4*a*h*i*o**3 + 22*a*h*i*o + 2*a*h*o**3 - 29*a*i + 2*a*o + 18*a + 3*h + 4*o**3 with respect to i.
4*a*h*o**3 + 22*a*h*o - 29*a
Differentiate 9*h**4*y + 2*h**2*y + 909*h*y**2 - 3931*y**2 + 3 with respect to h.
36*h**3*y + 4*h*y + 909*y**2
Find the first derivative of 4*g**2*p + 27*g**2 - 5*g - p wrt p.
4*g**2 - 1
What is the second derivative of 3*c**2*o**3 + 2*c**2*o + 14*c*o**3 + 106*c*o wrt o?
18*c**2*o + 84*c*o
Find the second derivative of 5*b**2*n*z + 10*b**2*z**2 - 2*b*n - 4*n*z**2 + 2*n*z - 6*z**2 wrt b.
10*n*z + 20*z**2
Find the first derivative of 12*b**2*w + 160*b**2 + 8*w wrt w.
12*b**2 + 8
What is the first derivative of -2*v**3*z - 6*v**3 + 37*v + 220*z**2 + 9 wrt z?
-2*v**3 + 440*z
Find the third derivative of 2*n**5*z**2 + 3*n**4*z**2 + 6*n**2*z**2 - 9*n**2 - z wrt n.
120*n**2*z**2 + 72*n*z**2
What is the third derivative of -343*t**6 - t**5 + t**4 + t**2 + 11795 wrt t?
-41160*t**3 - 60*t**2 + 24*t
What is the derivative of 8936*n - 7169?
8936
Find the second derivative of -1669*o**3 - 1410*o wrt o.
-10014*o
Find the second derivative of 14*n**3 + 2*n**2 + 2*n + 38.
84*n + 4
Differentiate 24933*f*j*u - 3275*f*u + f - 2 with respect to j.
24933*f*u
What is the first derivative of -2030*o - 1663 wrt o?
-2030
What is the third derivative of -2*o*z**3 - o - 136*z**3 - z**2 + 557*z wrt z?
-12*o - 816
What is the first derivative of -5028*g**3 + 2780?
-15084*g**2
Find the first derivative of 2*d**2*k + 24*d**2*w**4 + k*w**4 + 15*k wrt w.
96*d**2*w**3 + 4*k*w**3
Find the third derivative of 47*i**4 + 93*i**3 + 6998*i**2 wrt i.
1128*i + 558
What is the third derivative of -4*t**5 - 13*t**3 - 141*t**2?
-240*t**2 - 78
What is the third derivative of 2*l**4*s + 2*l**4 - 184*l**3*s + 2*l**2 + 544*l*s - l wrt l?
48*l*s + 48*l - 1104*s
Differentiate 6*h**4*w*x + 15*h*x**3 + 4*w*x**2 + 13*x**3 with respect to h.
24*h**3*w*x + 15*x**3
What is the second derivative of -233*o**3*r**2 + 17*o**3 + 3*o*r + 2*r wrt r?
-466*o**3
What is the second derivative of -34*a*s**2*y**2 - 2*a*s**2 + a*y**2 + 118*a*y + 33*s**2*y**2 + 3*y wrt y?
-68*a*s**2 + 2*a + 66*s**2
Find the second derivative of -2*i**2*p + 22*i**2*s**3 + i**2*s**2 + 6*i*p*s - 2*p*s**2 + 2*s wrt s.
132*i**2*s + 2*i**2 - 4*p
What is the third derivative of 539*n*x**3 - 2*n*x**2 + n + 220*x**2 wrt x?
3234*n
What is the derivative of 111*n*q - 863*n + q**3 + 7*q - 3 wrt q?
111*n + 3*q**2 + 7
Find the second derivative of 2*c**4*q + 29*c**3*q**2 + 2*c*q**2 - 71*c wrt c.
24*c**2*q + 174*c*q**2
Find the third derivative of 2*m*v**3 - 2291*m*v**2 - 87*v**4 - 19*v**3 - v**2 wrt v.
12*m - 2088*v - 114
What is the second derivative of -532*u**3*v*w**2 - 2*u**3*v*w - 2*u**3 + u**2*v*w**2 - 1028*u**2*v*w + 2*w**2 wrt w?
-1064*u**3*v + 2*u**2*v + 4
What is the second derivative of 8*w*x**3 - w*x**2 + 12*w - 9*x wrt x?
48*w*x - 2*w
Find the first derivative of 6*h**2*u**2 - 661
|
{
"pile_set_name": "DM Mathematics"
}
|
increasing order.
-3, v, 0.2, 3
Let o = 9 + -7.5. Let s = o - 1.1. Sort 0, 0.1, s in descending order.
s, 0.1, 0
Suppose 13 = -4*u + f, 3*u + 21 = -f - 2*f. Sort -5, u, -5/6 in descending order.
-5/6, u, -5
Let i = 3 - 1. Suppose 3*v - 10 = -i*v. Sort -0.2, v, -3/2 in increasing order.
-3/2, -0.2, v
Let x(k) = k**3 - k**2 - k + 5. Let c be x(0). Suppose 4 = -3*w + c*w. Let o(s) = s**2 + 3. Let j be o(0). Put -3, j, w in ascending order.
-3, w, j
Let p(z) = -z**2 - 6*z + 2. Let n be p(-6). Suppose n*r + r = 24. Sort r, 1, 0.
0, 1, r
Let w(g) = -g + 4. Let s be w(0). Let y(c) = 2*c**2 - s*c**2 - 6*c - 1 + c**2. Let d be y(-5). Put 0.4, d, -0.3 in descending order.
d, 0.4, -0.3
Let p(m) = m**2 - 12*m - 33. Let x be p(14). Put 0, x, 1, -2 in increasing order.
x, -2, 0, 1
Let f = -4 - -6. Suppose -3*x - 22 = f*p, 0*p + 3*p - 5 = 5*x. Let u be -5*(-1)/((-5)/(-4)). Sort u, x, 3 in decreasing order.
u, 3, x
Suppose -3*k - 2*k - 20 = 5*w, 0 = w - 5*k - 2. Sort 2, w, -4 in increasing order.
-4, w, 2
Let g = 5.1 - 5. Let f = g - 0.4. Put -2/9, f, 0.5 in decreasing order.
0.5, -2/9, f
Let c = 1 - 3. Let w be c/(1/(-2) + 1). Let z = w + 7. Sort 0, -2, z.
-2, 0, z
Suppose 3*z + 9 = -a + 2, 2*a + 6 = 2*z. Let u be z + ((-68)/15)/(-4). Sort -0.1, u, -1.
-1, -0.1, u
Suppose -2*h = 5*h - 21. Sort 0, 6, h.
0, h, 6
Let x = 28.6 + -25. Let k = -4 + x. Let g = k + 0.6. Sort g, 0.1, 0 in decreasing order.
g, 0.1, 0
Let p be ((-8)/2)/(6/3). Let u(m) = -4*m**3 - m**2 - 2*m - 1. Let g be u(-1). Sort -4, p, g in descending order.
g, p, -4
Let d be (5 + -10)*(-2)/(-5). Let u be d*9/(-6) - 0. Sort u, -4, 5 in ascending order.
-4, u, 5
Let q = 0.17 - 0.17. Put 2, 0.1, 3, q in descending order.
3, 2, 0.1, q
Let q(h) = -2*h - 3. Let g be q(-2). Let p be 3*(-2)/4*(-24)/18. Put p, g, -4 in descending order.
p, g, -4
Suppose 0 = 2*j + 5 + 3. Let f = -7 - j. Let y be (-3)/(-2) + f/6. Put y, 5, 3 in decreasing order.
5, 3, y
Let p be 5/3*(-2 - -5). Suppose -o = p*a - 2*o - 25, -a = 2*o - 5. Put a, -1, 3 in decreasing order.
a, 3, -1
Let j be (5 - 3 - -12) + -2. Let b be (-13)/(-42)*(-10)/j. Let p = 1/28 + b. Put p, -4, -5 in descending order.
p, -4, -5
Let m be -1*11*2/(-26). Let o = -9/13 + m. Let n = 0.11 - -0.59. Sort o, n, 0.1 in increasing order.
0.1, o, n
Let f = 9 - 14. Let x = f + 5.4. Sort -4, x, -2/21 in descending order.
x, -2/21, -4
Let y = 3/4 + -23/36. Let i = -0.1 - 0. Put 0.02, i, y in ascending order.
i, 0.02, y
Let h = -0.1 - 0. Let y = 11 - 10. Sort y, h, -4 in ascending order.
-4, h, y
Let x = -21 - -24. Sort -4, x, -1 in descending order.
x, -1, -4
Let c(m) = 2*m**3 + 42*m**2 - 2*m - 43. Let z be c(-21). Put 8, z, 2 in descending order.
8, 2, z
Let v = -38 - 17. Let n = v + 219/4. Let a = 151/8 + -19. Put 3/4, a, n in increasing order.
n, a, 3/4
Let f = -7/45 - -1/18. Let j = 2.9 - 3. Let i = j - -0.5. Put f, 4, i in increasing order.
f, i, 4
Let t = -7 - -15. Suppose 0 = t*j - 12*j + 16. Sort j, 0, -1 in ascending order.
-1, 0, j
Let w be 3/(-4)*(-1)/(-3). Let q = 1637/2745 - -2/549. Put 4, q, w in descending order.
4, q, w
Let u = 0 - -0.3. Let y = -0.34 + u. Let j = 2.04 + y. Put j, -2, 0.2 in decreasing order.
j, 0.2, -2
Suppose -6 - 6 = -3*i. Let f be (-14)/(-3) - 3/(-9). Put i, -2, f in descending order.
f, i, -2
Let a = 276/5 + -55. Sort 2/7, -3, a in descending order.
2/7, a, -3
Suppose -3*k + 6 + 0 = 0. Let n(z) = 5*z + 4. Let l be n(4). Suppose l = -3*u - 5*c, -3 = 3*u - 6*u + 4*c. Sort k, 0, u in descending order.
k, 0, u
Suppose -4*w + 4 = 0, -3*w + 13 = -2*q - 0*q. Let c be (-2)/((-30)/9)*q. Sort -5, c, -11 in decreasing order.
c, -5, -11
Let m be -3 + (3 - -1) + 16. Let g be m/4 + 5/(-20). Suppose 0 = -3*b + 3, 2*b + 12 = 5*f - 1. Sort 2, g, f.
2, f, g
Let i = 0 - -5. Let v = 10 - i. Put v, 4, 0 in ascending order.
0, 4, v
Suppose -4*w - 10 + 6 = 0. Let x be w/(-5) - (-12)/(-10). Let a(k) = -k**2 + 2*k - 2. Let l be a(2). Put 4, x, l in decreasing order.
4, x, l
Let a = 39 - 41. Put -7, -5, a in ascending order.
-7, -5, a
Let i(f) = -7*f - 1. Let j be i(-1). Let d be 2/j*0*-1. Sort 5, 2, d.
d, 2, 5
Suppose w = 0, 4*g - 3*w = 3*g. Suppose 2*k - 3*n - 25 = g, -n = 4*k + k - 20. Put 1, k, 0 in ascending order.
0, 1, k
Suppose 3*b + 24 = -3*x, 4*x - 3*b - 13 = 2*b. Let k(g) be the second derivative of -g**3/3 + g**2/2 - g. Let v be k(-2). Put -5, x, v in ascending order.
-5, x, v
Let q = 2 + -6. Let u = -0.05 + -0.35. Sort u, 5, q in decreasing order.
5, u, q
Let z(h) = -9*h**3 + 2*h**2 - 2*h + 1. Let i be z(1). Let p be (i/(-10))/((-6)/(-15)). Let g be (2*(-3)/(-12))/p. Sort 3, g, 1.
g, 1, 3
Let m = 11 - 16. Let k be m/((-5)/4) - -1. Let q be -3*2/20*-2. Sort 1/5, k, q in decreasing order.
k, q, 1/5
Let u = 2 + 2. Let d be ((-2)/(-6))/((-2)/(-18)). Suppose -3*f = -0*f - d. Put 3, u, f in descending order.
u, 3, f
Suppose 0*a + 3*a - 12 = 0. Suppose 2*v = -4*y + 9 + 9, -19 = a*v - 3*y. Let d(w) = -4*w. Let g be d(-1). Put g, 5, v in descending order.
5, g, v
Let z = 8 - 7.5. Let a = z + -0.3. Let j = 0.2 + 0.3. Sort a, 0, j in decreasing order.
j, a, 0
Let a = 0 + -3. Let n = 0 + a. Let u = 0 + 0. Sort n, u, -1 in descending order.
u, -1, n
Let l = 24 - 19. Put -3, -21, l in descending order.
l, -3, -21
Let x = -2 - -2.2. Let g = x + -0.4. Put -2/19, g, -1/4 in decreasing order.
-2/19, g, -1/4
Let y(j) = j**2 + 7*j + 2. Let c = -8 + 2. Let d be y(c). Let h = 0.3 + -1.3. Put -1/3, h, d in descending order.
-1/3, h, d
Let d = -4.95 + -0.05. Put 5, -14, d in descending order.
5, d, -14
Suppose 2*k + 3*y = -25, -3*k - 4*y = 35 - 0. Sort k, 2, 4 in increasing order.
k, 2, 4
Let k(f) = -2*f - 2. Let q be k(-1). Let z(d) = -d**2 + 7*d - 5. Let w be z(6). Put w, -5, q in increasing order.
-5, q, w
Suppose 21*w - 6 = 24*w. Sort -4, 12, w in increasing order.
-4, w, 12
Let a(v) be the first derivative of 3*v**2/2 - v - 3. Let c be a(3). Sort -3, 0, c in decreasing order.
c, 0, -3
Let n = -9 - -8.9. Let j = n + -0.3. Let f = -0.5 - -1. Sort j, 4, f in increasing order.
j, f, 4
Suppose 0 = -2*c + 4*c + 2. Let d be (c + 2)/((-2)/(-8)). Let v be 0 + 0 + 2 - -3. Put -5, v, d in ascending order.
-5, d, v
Suppose -3*k - 5 + 2 = 0. Let f = 4 - 2. Suppose 3 = -5*q + 4*s, -3*s = -q - 0*s - 5. Sort k, f, q in decreasing order.
f, q, k
Let q(n) = 12 + n - 23 + 4*n**2 - 9*n - 3*n**2. Let b be q(9). Let t = 8 - 5. Sort b, t, 5 in descending order.
5, t, b
Suppose -l + 0*l = -3*m + 12, 4 = 4*l + m. Let n be 2 - (0 + (l - 1)). Suppose -v + 0 = -3*o + 1, 5*v + 5 = n*o. Sort v, 4, 5 in decreasing order.
5, 4, v
Let a = 0.11 - -3.89. Let v = -47.8 + 48. Put 0.5, v, a in decreasing order.
a, 0.5, v
Suppose 8*c + 3*b = 10*c + 25, -3*c + 3*b - 30 = 0. Sort c, -2, 2 in ascending order.
c, -2, 2
Let h = -13.1 + 21.1. Put 2, -0.5, 1/3, h in decreasing order.
h, 2, 1/3, -0.5
Let k = 3.4 - 3. Let c = 1872/11 - 170. Put c, k, 2/7 in increasing order.
c, 2/7, k
Suppose f = 2*f - 5*o + 31, 3*o = 5*f + 45. Sort -0.1, 1/2, -0.5, f in decreasing order.
1/2, -0.1, -0.5, f
Let c(x) = -x + 6. Let o(v) = -v + 6. Let p(u) = -4*c(u) + 5*o(u). Suppose 20 = -s + 3*s. Let z be p(s). Sort -1, 4, z in increasing order.
z, -1, 4
Let z = 11 + -6. Suppose -3*d = 4*a + d - 64, 4*a + 2*d - 58 = 0. Let f = -10 + a. Put f, 0, z in descending order.
z, f, 0
Let z be 2/(-1 - 6/(-10)). Suppose 0 = -3*p + 3*r - 6, 5*p - 6*r + 10 = -3*r. Let l = 6 + p. Sort -4, z, l in descending order.
l, -4, z
Suppose -5*j = 5*r - 35, 3*r + j + 0*j = 27. Put r, -1, 0.5, 3 in increasing order.
-1, 0.5, 3, r
Suppose -6 = -4*q - 22. Let f = 2.01 - 0.01. Sort 0, f, q in descending order.
f, 0, q
Let v = -0.12 + -0.18. Sort 4, v, -0.2 in descending order.
4, -0.2, v
Let p(u) = -u - 3. Suppose -20 = 3*n + c, -2*c - 4 = -0. Let x be p(n). Suppose x*o = 2*o. Put 1/5, o, 4 in descending order.
4, 1/5, o
Suppose 9*r + 0*r = 45. Suppose -14 - 6 = -5*q. Put r, q, -4 in descending order.
r, q, -4
Let g = 0 - 3. Let b be (-2)/2*1*0 - 1. Let r = -6 - -10. Sort b, r, g in descending order.
r, b, g
Let j(h) = -h**2 + h + 4. Let p be j(0). Put p, 1, -8, -2 in ascending order.
-8, -2, 1, p
Let c = 0.39 + -0.5. Sort -3, 2/3, c.
-3, c, 2/3
Let v = -5 + 1. Suppose u = 4*u + 15. Let x be (u + 0)/(0 - -1). Sort -3, x, v in descending order.
-3, v,
|
{
"pile_set_name": "DM Mathematics"
}
|
u(7). Suppose 2*c + 5*k - p = 0, c - 113 = 5*k - k. What is the remainder when c is divided by 4?
1
Calculate the remainder when (-6324)/24*(-37 - 13) is divided by 216.
215
Suppose -700*j - 78 = -702*j. Suppose -17*x = -j - 250. Calculate the remainder when 174 is divided by x.
4
Calculate the remainder when 71 is divided by (-2 + (-3)/(-1))/(4*12/1920).
31
Let p = -33 + 18. Let s be 2*2 + p/15. Suppose s*o - 3*k - 108 = 0, -k = 5*o - 0*o - 204. What is the remainder when o is divided by 7?
5
Let t = -8990 - -9035. What is the remainder when 1283 is divided by t?
23
Suppose 3*b = 2*w - 5, -3*w + 2 + 7 = -4*b. Suppose -w*o = -13 + 69. Let d = 1 - o. What is the remainder when 61 is divided by d?
7
Let m(r) = -21*r - 934. Suppose 2*h + h = 294. Calculate the remainder when h is divided by m(-45).
10
Let f(l) = l**3 + 9*l**2 - 88*l + 47. Calculate the remainder when 864 is divided by f(-15).
14
Let n(m) = -27*m - 394. What is the remainder when n(-22) is divided by 174?
26
Suppose 3*y - 36 = -y. Suppose 1448 = 24*z + 296. Suppose -43*p - 75 = -z*p. Calculate the remainder when p is divided by y.
6
Suppose 0 = -3*h + 32 + 217. Suppose 6*n - h = 19. Calculate the remainder when (-36)/90 + (-322)/(-5) is divided by n.
13
Let x = 202 + -162. Suppose 134*w - x = 130*w. Suppose 4*f = f + 321. What is the remainder when f is divided by w?
7
Suppose 4*a + 3083 - 3291 = 5*u, a = -u + 61. Let y = 17 - -8. Calculate the remainder when a is divided by y.
7
Suppose 5*x - 5*q - 115 = 0, 3*x = 6*x + 2*q - 84. Suppose 392 = -18*h + x*h. What is the remainder when 78 is divided by h?
29
Let s(q) = -q**2 + 23*q - 56. Let f be s(20). Let u(v) = v**2 - 6*v + 12. Let l be u(f). Calculate the remainder when -3 + (l/1 - -143) is divided by 29.
28
Let m = 1066 - 1052. What is the remainder when 45 is divided by m?
3
Suppose 3*p + 0*q - 3*q + 3 = 0, -5*p + 19 = 3*q. Let h(v) = 14*v**2 - 27*v + 7. Let t be h(2). What is the remainder when p/t - (-1344)/27 is divided by 13?
11
Let q(s) = 31*s + 4. Let i be q(1). Let l(r) = r**2 - 2*r - 3. Let g be l(3). What is the remainder when i + (-4)/(-12)*g/(-1) is divided by 12?
11
Suppose 8*n + 50 = 13*n. What is the remainder when ((-6)/1)/((-264)/1232) is divided by n?
8
Let j be (0/2 + (-5)/(-5))*19. Suppose 5*z - 1 = -11, 4*z = -3*c + j. What is the remainder when 44 is divided by c?
8
Let d = 197 - 84. Let z be (((-737)/(-3))/11)/((-1)/(-3)). Suppose -5*m + d = -z. Calculate the remainder when m is divided by 8.
4
Suppose 23*d - 20485 = 6*d. What is the remainder when d is divided by 18?
17
Let v = -4077 - -4733. What is the remainder when v is divided by 133?
124
Let o = -7074 - -7103. Let l = -4 + 7. Suppose -2 = -2*k, t + o = l*t - k. What is the remainder when 87 is divided by t?
12
Suppose 3*v - 54 = -2*c, -4*v = -0*v. Let w = -101 + 121. Let r = 28 - w. Calculate the remainder when c is divided by r.
3
Suppose -2*f = -2*d - 178, d - 4*d - 4*f = 295. Let p = -62 - d. What is the remainder when 92 is divided by p?
30
Suppose y - q - 34 + 9 = 0, -5*q = -15. Let m be (-1)/(12/13 + -1). Let b = m - 2. What is the remainder when y is divided by b?
6
Suppose g - 65 = 4*b, 0*b - 4*g = 3*b + 63. Suppose c - 168 = -4*r + 291, -4*r - 4*c = -468. Let f = r - b. Calculate the remainder when f is divided by 33.
32
Suppose 0 = g - 6, -52286 = -5*d - 4*g + 8*g. Calculate the remainder when d is divided by 16.
14
Suppose -19178*o = -19170*o - 304. Calculate the remainder when 1139 is divided by o.
37
Let d = 6102 + -6036. Calculate the remainder when 104 is divided by d.
38
Let f(o) = -o**2 + 13*o + 1. Suppose 4*g + 29 = x - 5, 5*g + 35 = x. Suppose -2*j - j + x = 0. Calculate the remainder when 119 is divided by f(j).
26
Suppose -2*w - 1585 = -5*q + 2676, 3*w = -5*q + 4271. What is the remainder when q is divided by 39?
34
Let k(a) = 5*a**2 - 3*a + 2. Let t be k(6). Suppose 2*m - 10*g + 6*g - t = 0, -5*g = 3*m - 202. Calculate the remainder when m is divided by 29.
16
Let h(k) = 10*k**2 + 160*k + 45. Let u = -10 - -7. Let f = 27 + u. What is the remainder when h(-16) is divided by f?
21
Let p(t) = -t**3 - 12*t**2 - 13*t + 8. Let o(y) = y**3 - 6*y**2 + 7*y + 11. Let s be o(6). Let j = s - 64. Calculate the remainder when 148 is divided by p(j).
28
Suppose -19*u = -2*t - 17*u + 1592, 2*t = -5*u + 1592. Let f = t - 349. Calculate the remainder when f is divided by 113.
108
Let n(y) = 82*y - 148. What is the remainder when n(12) is divided by 413?
10
Let o(l) = l + 92. What is the remainder when 487 is divided by o(-32)?
7
Let d be (-7)/(21/(-18))*(-4)/(-8). Suppose 113 = -2*u + 4*u + d*i, -4*u + 216 = -4*i. Let v = 75 - u. What is the remainder when v is divided by 7?
6
Suppose 0 = -151*i + 35798 + 56916. Calculate the remainder when i is divided by 102.
2
What is the remainder when 353 is divided by 1*2*(18 + (-176)/32)?
3
Let p(f) = f**3 + 8*f**2 - 9*f + 14. Let q be p(-9). Let d = 102 - q. Calculate the remainder when d is divided by 32.
24
Let r be -1 - -4 - (-14 + 13). Suppose 2*y + y = r*j - 19, 5*j + y = 0. What is the remainder when (-22)/(-110) + 209/5 + j is divided by 9?
7
Let w(o) = -3 - 2 + 12*o**2 + 3*o**2 - 6*o. Let f(v) = -v**3 - 3*v**2 - 7*v - 11. Let s be f(-2). Calculate the remainder when w(s) is divided by 9.
7
Let c(v) = 21 - 12*v + 12*v + v. Calculate the remainder when 85 is divided by c(-12).
4
Let l = 2305 - 2171. Calculate the remainder when 1338 is divided by l.
132
Let i be (0*(-1)/(-2))/(6 + -8). Suppose -2*y - 2*y + 244 = 0. What is the remainder when y is divided by 27 + 6 + -2 + i?
30
Let t = -8 - -59. Suppose -5 = 2*w - t. Calculate the remainder when w is divided by ((-47112)/(-150))/26 + (-4)/50.
11
Suppose -28 = -2*d + 6. Suppose 3*m = -4*l + 55, 2*m + 18*l = 15*l + 36. What is the remainder when m is divided by d?
4
Let a be -14*((-3)/(-2))/1. Let g be (-2)/11 + (-13)/(429/1380). Calculate the remainder when (154/g)/(1/a) is divided by 20.
17
Suppose 5*c - 4*l - 26 = 0, 9*l + 12 = -4*c + 4*l. Suppose 16 = 4*h, 2*k - k - c*h = 8. What is the remainder when 143 is divided by k?
15
Suppose -18*u + 39*u - 50*u + 67309 = 0. Calculate the remainder when u is divided by 155.
151
Suppose -k + 4*y + 10 = y, 0 = -2*k - 4*y. Suppose 4*a - 1073 = -4*x + 315, -5*a + k*x + 1753 = 0. Calculate the remainder when a is divided by 32.
29
Let n = -8000 + 8016. Suppose -7*p = -3*p - 816. Calculate the remainder when p is divided by n.
12
Suppose 5*x - 2*h - 18 = -h, 0 = 3*x - 3*h - 6. Suppose -2*j - 7 = -11. Calculate the remainder when x is divided by j.
0
What is the remainder when (-2)/2 + 2 + 1/((-2)/(-558)) is divided by 159?
121
What is the remainder when 2998 is divided by 1920/(-1152) - (-460)/6?
73
Let f(r) = 33*r**3 - 3*r**2 + 2. Let w(x) = -x**3 + x**2 - 2*x - 49. Let n be w(0). Let z = -32 - n. What is the remainder when f(1) is divided by z?
15
Let a(s) = 89*s - 1146. What is the remainder when 1363 is divided by a(13)?
10
Let q = -5843 - -6628. What is the remainder when q is divided by 9?
2
Suppose 17*f = 24*f + 70. Calculate the remainder when 26 is divided by (14*f/(-210))/(2/9).
2
Suppose -15 = -r - 5*h, 3*r - 4*h - 21 = 5. What is the remainder when 9842/608 + 18/(-96) is divided by r?
6
What is the remainder when 170 + 13/130*50 is divided by (-1 + -1)*(-4 + 0)?
7
Let o be ((-576)/180)/((-2)/45). Suppose 369 = -69*x + o*x. Calculate the remainder when x is divided by 31.
30
Suppose 0*f + 525 = 5*f - p, 5*f - 2*p = 520. Let u = 193 - f. Calculate the remainder when u is divided by 4.
3
Suppose 4*a + 6*a + 4*a - 2534 = 0. What is the remainder when a is divided by 90?
1
Let m(o) = o - 4. Let c be m(7). Suppose c*g - 142 = -4*v, 4*v + 42 = -2*g + 3*g. Suppose -g*r = -50*r + 44. Calculate the remainder when 32 is divided by r.
10
Suppose -2*k = -3*k + 2. Let z = 10 - 5. Suppose -12 = 3*w, 3*j + k*w - 243 = z*w. What is the remainder when j is divided by 26?
25
Let u = 2787 - 2581. What is the remainder when u is divided by 30?
26
Suppose 715 = 5*p - 510. What is the remainder when p is divided by 74?
23
Let f(n) = 5*n. Let a be f(-12). What is the remainder when a*(-4 + 3) + -2 is divided by (-9*12/126)/(1/(-14))?
10
Let t(k) = k**3 + 22*k**2 - 23*k + 14. Let v be t(-23). Calculate the remainder whe
|
{
"pile_set_name": "DM Mathematics"
}
|
he second derivative of 615*d**2*z - d*z + 2*d - 3 wrt d.
1230*z
What is the second derivative of -3*y**3*z**2 + y**2*z**2 - 2*y**2 + 27*y*z**2 + z wrt y?
-18*y*z**2 + 2*z**2 - 4
Differentiate 107*v - 162 with respect to v.
107
Find the third derivative of 23*n*o**4*u + 2*n*o - 27*n*u - o**5*u - o**4 + 5*o**2 wrt o.
552*n*o*u - 60*o**2*u - 24*o
What is the third derivative of -4*a**6 + 30*a**3 - 300*a**2 + a wrt a?
-480*a**3 + 180
Find the third derivative of -12881*o**5 - 2*o**2 + 373*o wrt o.
-772860*o**2
Find the second derivative of -109*s**2 - 107*s wrt s.
-218
What is the third derivative of 8928*o**3 - 11781*o**2?
53568
Differentiate 22*c**2*j**4 - c**2 + 2*c*q - 5*j**4*q - 2*q with respect to j.
88*c**2*j**3 - 20*j**3*q
What is the second derivative of 18*g**4*z - 5*g**2*z**2 - 2*g*z**2 - 365*z**2 wrt g?
216*g**2*z - 10*z**2
What is the second derivative of 6*x**5 + 28*x wrt x?
120*x**3
What is the derivative of -3*d*s**2*v**3 - 5*d*s + 58*s**2*v - 60*s**2 wrt v?
-9*d*s**2*v**2 + 58*s**2
Find the second derivative of -m**3 + 21*m**2 + 33*m wrt m.
-6*m + 42
Differentiate 1237*d*o**2*p**2 + 2*d*o*p**2 + 789*o**2*p**2 - 2*o*p**2 wrt d.
1237*o**2*p**2 + 2*o*p**2
What is the derivative of -3*q*v + 240*q + 569*v - 2 wrt v?
-3*q + 569
What is the derivative of 6132*d + 4018 wrt d?
6132
Differentiate w**4 + 27*w**3 - 28*w**2 + 2102 with respect to w.
4*w**3 + 81*w**2 - 56*w
Differentiate 268*a**3 - 416 wrt a.
804*a**2
Differentiate -226*m**3 + 74 wrt m.
-678*m**2
What is the third derivative of 29*k**3*s - 2*k**3 - 3*k**2*s - 2*k*s + s wrt k?
174*s - 12
Differentiate 327*k*s + 635*k + 2*s with respect to s.
327*k + 2
Find the first derivative of 12*i**2*o**2 - 3348*i**2 + 110*o**2 wrt o.
24*i**2*o + 220*o
Find the second derivative of -3*a**2*h**2 - 3*a**2*h*t**3 - 12*a**2*h*t**2 + 2*a**2 + 69*a + 2901*h**2*t**3 + t**2 wrt h.
-6*a**2 + 5802*t**3
Find the second derivative of 90*q*x**2 - 4*q*x + 27*q - x**3 wrt x.
180*q - 6*x
Find the third derivative of -16*s**6 - 15*s**4*y**3 - 11*s**2*y + 11*y**3 wrt s.
-1920*s**3 - 360*s*y**3
Differentiate -278*j**4 + j + 10484 wrt j.
-1112*j**3 + 1
Find the third derivative of -8*k**3*u**4 - k**3*u**3 - 28*k**3*u + k**2*u - 2*k*u**2 wrt u.
-192*k**3*u - 6*k**3
Find the third derivative of 15*v**4 + 9*v**3 + 560*v**2 wrt v.
360*v + 54
Differentiate -3*m**4 + 173*m + 1205 with respect to m.
-12*m**3 + 173
What is the third derivative of -656*p**3 + 3919*p**2?
-3936
Find the first derivative of 17467*j**3*u - 3*j**3 - 51*j**2 - 2 wrt u.
17467*j**3
Find the first derivative of 1821*p**2 + 4599.
3642*p
What is the second derivative of d**4*w*y + 40*d**2*w + 20*d**2*y + 3*d*w - 578*d*y + 2*w - 1 wrt d?
12*d**2*w*y + 80*w + 40*y
What is the first derivative of 7927*x**4 - 638?
31708*x**3
What is the third derivative of 34*m*o**5 + 120*m*o**4 - m*o**2 + 1167*o**2 wrt o?
2040*m*o**2 + 2880*m*o
Find the third derivative of 2296*k**4 + 4017*k**2.
55104*k
Find the third derivative of 26*m**6 + 32*m**5 - m**4 + m**2 + 8739.
3120*m**3 + 1920*m**2 - 24*m
Differentiate -13*w**3*y + 782*w**3 + 2*w*y + 3*y**3 wrt y.
-13*w**3 + 2*w + 9*y**2
Find the third derivative of 4*a**3*x**6 + 50*a**3*x**5 + 5*a**3 - 81*a**2*x**2 - x**2 wrt x.
480*a**3*x**3 + 3000*a**3*x**2
Find the second derivative of -65*s**3 + 28*s**2 + 121*s + 16 wrt s.
-390*s + 56
What is the third derivative of 4*u**2*x**3 + 125*u**2*x + 4*u*x**3 - 2*x**2 + 1 wrt x?
24*u**2 + 24*u
Find the second derivative of -6147*g*n**5 - 7*g*n - 9*n wrt n.
-122940*g*n**3
Find the first derivative of -107*k**2*s - 18*k*s - k - 7920*s wrt k.
-214*k*s - 18*s - 1
What is the derivative of -528*y - 387 wrt y?
-528
What is the second derivative of 110*j**3*r**2 + 12*j**3*r - 2*j**3 + 3*j**2 wrt r?
220*j**3
What is the second derivative of 7*i*k**2*v - 2*i*k**2 + 2*i*k - i*v**2 - 6*k**2*v**2 - 24*k*v**2 wrt k?
14*i*v - 4*i - 12*v**2
What is the third derivative of -34*b**3*v**3*z**3 + 48*b**3*v**2*z**3 + b**2*v**3 - b**2*v*z**3 - 1004*b*v**2*z**3 wrt b?
-204*v**3*z**3 + 288*v**2*z**3
Find the third derivative of 304*b**3*w**3 - 3*b**3*w - 2*b**2*w**5 - 531*b**2*w + w**2 wrt w.
1824*b**3 - 120*b**2*w**2
Find the third derivative of -96*a**3*j**4 - 25*a**3*j**2 + a**3*j - 5*a**2*j**2 - 26*a*j**4 - 5*a*j wrt j.
-2304*a**3*j - 624*a*j
What is the second derivative of 3*c*g**2 - 4*c + 9*g**2 + g wrt g?
6*c + 18
What is the second derivative of 2*o**3*r**2 - 360*o**3*r + 2*o*r*v + 1305*r**2*v wrt r?
4*o**3 + 2610*v
Find the third derivative of -39*s**6 - 4*s**4 - 2*s**2 - 127*s wrt s.
-4680*s**3 - 96*s
Find the second derivative of -167*x**2 + 36*x.
-334
What is the third derivative of 2958*r**3*z**4 + 17*r**3 - 11*r*z**2 wrt z?
70992*r**3*z
Differentiate 134*s + 167 with respect to s.
134
What is the derivative of -6*k*x**2 - 48*k*x*z - 2821*k*z + 2*x**2*z wrt x?
-12*k*x - 48*k*z + 4*x*z
Find the first derivative of a**3*c**2 + 11*a**3 + 2*c**2 + 178*c wrt a.
3*a**2*c**2 + 33*a**2
Find the first derivative of -6*i*j*y + i*u**3 + i*u**2 - 2*i*u*y + 5*j*u**3*y - 2*j*y - 3*u**3 - 2*u*y wrt i.
-6*j*y + u**3 + u**2 - 2*u*y
What is the second derivative of 4177*c**2*q**2 + 2*c**2*q - c**2 + 14*c*q wrt q?
8354*c**2
Differentiate 8327*p - 6757 with respect to p.
8327
Find the third derivative of 12*c**5 - 8*c**4*x**3 + 81*c**2*x**3 wrt c.
720*c**2 - 192*c*x**3
What is the first derivative of 499*f*g + 89*f*p - 5*g*p + p wrt p?
89*f - 5*g + 1
What is the second derivative of 359*i**3*q**3 + 2*i**3*q - i*q**3 + i*q**2 + 3*i - 43*q wrt i?
2154*i*q**3 + 12*i*q
Find the third derivative of -2*b**3*n**3 + 46*b**3*n - 3*b*n**2 + 27*n**3 wrt n.
-12*b**3 + 162
What is the second derivative of -36*s*z**3 + 5*s*z**2 + 30*s*z + 3*s - 8*z**3 + 6*z + 4 wrt z?
-216*s*z + 10*s - 48*z
Find the third derivative of -24*c**5 + 40*c**4 + c**3 + 3*c**2 + 74*c - 13.
-1440*c**2 + 960*c + 6
Find the second derivative of 36*o**5 + 2*o**3 + 604*o.
720*o**3 + 12*o
What is the first derivative of 4*c*h*s + 3*c*j*s**2 - h**2*j + 4*h**2*s**2 - 43*h*j*s**2 - 2*h*s**2 wrt j?
3*c*s**2 - h**2 - 43*h*s**2
What is the third derivative of -3221*c*x**4 - 25*c*x**2 - 2*x**4 + 18*x**2 wrt x?
-77304*c*x - 48*x
Differentiate 5*j*n*p - 33*j*n + j*p + 2*j + n**3 + 3 wrt n.
5*j*p - 33*j + 3*n**2
Differentiate -14*l**3*n**4 + 82*l**3 - 9*l*n**4 wrt n.
-56*l**3*n**3 - 36*l*n**3
Find the second derivative of -10263*o**5 + 10268*o wrt o.
-205260*o**3
Find the third derivative of 11*g*o**4*v**2 + 22*g*o**3 - 8*g*o**2*v**2 - g*o**2*v + o**3*v**2 - 62*o**2*v wrt o.
264*g*o*v**2 + 132*g + 6*v**2
Find the third derivative of 267*r**6 - r**4 - 4*r**2 - 26*r wrt r.
32040*r**3 - 24*r
Find the second derivative of 9*n**5 - 2*n**4 + 4*n**3 + 9241*n wrt n.
180*n**3 - 24*n**2 + 24*n
What is the third derivative of 2*k**5 - 1139*k**3 + 941*k**2 wrt k?
120*k**2 - 6834
What is the third derivative of 6712*m**2*x**3 - 3*m**2*x**2 + 449*m**2 - 2*x**3 wrt x?
40272*m**2 - 12
What is the second derivative of -313*l**5 - 3*l**4 + 6962*l wrt l?
-6260*l**3 - 36*l**2
Find the third derivative of 5*i*r**3 - 2*i*r**2 - 55*r**3 + 5553*r**2 wrt r.
30*i - 330
What is the third derivative of -1248*y**3 - 424*y**2 - 2*y?
-7488
Find the second derivative of 16741*z**3 + 13931*z.
100446*z
Find the third derivative of -682*j**3 + 5*j**2 + 4.
-4092
What is the third derivative of -1357*p**4 - 2*p**3 - 3388*p**2 wrt p?
-32568*p - 12
What is the first derivative of -7*c**3 - 116*c**2 + 84 wrt c?
-21*c**2 - 232*c
Find the third derivative of -3*o**5*t - 20*o**5 + 2*o**2 - 10*t wrt o.
-180*o**2*t - 1200*o**2
What is the third derivative of 849*f**4 + 2*f**3 + 87*f**2 + f + 5 wrt f?
20376*f + 12
What is the second derivative of -2*g**5 - g**3*m - 2*g**2*m + g*m + 2*g - 3 wrt g?
-40*g**3 - 6*g*m - 4*m
What is the third derivative of 4*w**6 - 1289*w**4 - 71*w**2 + 3*w - 10?
480*w**3 - 30936*w
What is the first derivative of -210*m**4*o - m**2*o**3 - o**3 + 4*o**2 - 111 wrt m?
-840*m**3*o - 2*m*o**3
What is the third derivative of -f**2*r**4 + 22*f**2*r**2 + 122*f*r**4 - 3*f*r**2 + 4*f wrt r?
-24*f**2*r + 2928*f*r
Find the third derivative of 2*c**2*j*l**3 + 2*c**2*j*l**2 + 128*c**2*j - 2*c**2*l**3 - 2*c**2*l + 66*c*j*l**3 wrt l.
12*c**2*j - 12*c**2 + 396*c*j
What is the first der
|
{
"pile_set_name": "DM Mathematics"
}
|
09
1275909 divided by 3
425303
-5343 divided by -62
5343/62
What is -974 divided by 89?
-974/89
What is -3 divided by -24912?
1/8304
What is -261 divided by 5018?
-261/5018
Divide -1213 by -2688.
1213/2688
What is -44736 divided by 233?
-192
What is -10 divided by 839?
-10/839
Calculate 129985 divided by 2.
129985/2
22581 divided by 117
193
Divide -828 by -689.
828/689
Divide -2 by 392843.
-2/392843
Calculate 196119 divided by -283.
-693
Divide -403657 by 3.
-403657/3
Calculate -4 divided by -55460.
1/13865
Calculate -4 divided by -33278.
2/16639
Divide 241313 by -241313.
-1
Calculate 0 divided by -814497.
0
1974920 divided by 493730
4
Calculate -3008 divided by 176.
-188/11
What is 3646905 divided by 37?
98565
What is -26264 divided by -98?
268
Divide -14203 by 146.
-14203/146
What is 20093 divided by -71?
-283
-441236 divided by -110309
4
-271 divided by -2818
271/2818
Divide -4 by 71993.
-4/71993
Divide -6103 by -373.
6103/373
What is 126038 divided by 337?
374
-180408 divided by -6
30068
Calculate -381 divided by 1657.
-381/1657
Calculate 195564 divided by 6.
32594
What is -190 divided by 190?
-1
What is -73808 divided by 4?
-18452
What is -4 divided by -7137?
4/7137
Calculate -77466 divided by -2.
38733
Calculate -16 divided by 1915.
-16/1915
What is -155221 divided by 1507?
-103
Calculate -4090020 divided by 818004.
-5
What is 1739304 divided by 1071?
1624
What is 51408 divided by 816?
63
Calculate -5 divided by 197716.
-5/197716
Calculate 1 divided by -556696.
-1/556696
423819 divided by 141273
3
Divide 3 by -11261.
-3/11261
-1579 divided by -265
1579/265
Divide 40038 by -3.
-13346
Calculate 6 divided by 2795.
6/2795
Divide 0 by 58988.
0
What is 37842 divided by 106?
357
What is 88757 divided by -3859?
-23
-1843973 divided by -3499
527
18414 divided by -2
-9207
What is -930426 divided by -6?
155071
Divide 253872 by -1476.
-172
Calculate 150081 divided by 57.
2633
Divide 1124 by -1858.
-562/929
What is 52792 divided by -4?
-13198
What is -19991 divided by -19991?
1
Calculate -5434188 divided by -6.
905698
Calculate -42840 divided by 8568.
-5
Calculate -2201184 divided by 4.
-550296
-1697536 divided by 128
-13262
What is -234198 divided by 4337?
-54
Calculate 140954 divided by 3.
140954/3
47481 divided by -357
-133
-486096 divided by -494
984
Calculate -143 divided by 863.
-143/863
-1393 divided by 12
-1393/12
3 divided by 10979
3/10979
What is 10 divided by 2554?
5/1277
Calculate -91411 divided by -2.
91411/2
Divide 1940 by 4.
485
Divide -232570 by -4.
116285/2
Calculate 25 divided by -65.
-5/13
Calculate -1129851 divided by 9.
-125539
What is -3478580 divided by 35?
-99388
4397118 divided by 6
732853
-1429542 divided by -62154
23
What is 19377 divided by -9?
-2153
Divide -5 by 484160.
-1/96832
Calculate 137036 divided by -2.
-68518
Calculate -250826 divided by -250826.
1
Calculate -2063 divided by -1.
2063
-5342831 divided by 107
-49933
Divide -520873 by 6.
-520873/6
What is -166 divided by 255?
-166/255
-6176 divided by -129
6176/129
What is 12 divided by 19770?
2/3295
-20860 divided by -2
10430
Divide -596102 by 26.
-22927
What is -24105 divided by 3?
-8035
Calculate -24822 divided by -5.
24822/5
Divide -219105 by -3.
73035
Divide -67 by 13487.
-67/13487
What is 24221 divided by 24221?
1
Calculate -458693 divided by -15817.
29
Calculate -467670 divided by 1785.
-262
-27 divided by 26
-27/26
Divide 36 by -761.
-36/761
94560 divided by 96
985
0 divided by -171166
0
-1107074 divided by -17
65122
Calculate -8 divided by -53234.
4/26617
What is -1 divided by -26375?
1/26375
What is -568756 divided by -142189?
4
163382 divided by 151
1082
What is -2054205 divided by -573?
3585
12 divided by 231
4/77
What is -870843 divided by 3?
-290281
5 divided by 957664
5/957664
What is 978675 divided by 5?
195735
Calculate 770448 divided by -12.
-64204
5 divided by 15165
1/3033
What is 2166890 divided by 433378?
5
Calculate 11 divided by -9348.
-11/9348
Divide -18 by -4383.
2/487
What is -2868 divided by -18?
478/3
51 divided by 4341
17/1447
What is -3202088 divided by -4?
800522
-182408 divided by -45602
4
What is -546351 divided by -3?
182117
Calculate -523938 divided by -1.
523938
Divide -8552 by -2138.
4
What is -12 divided by 5753?
-12/5753
Calculate 3840 divided by 24.
160
Calculate -4705 divided by -5.
941
Calculate 10072345 divided by -5.
-2014469
What is 504 divided by 1482?
84/247
Divide -3051 by 294.
-1017/98
What is -272 divided by -250?
136/125
What is 108640 divided by 5?
21728
Divide -165074 by 4.
-82537/2
What is 4750 divided by 190?
25
Divide 62783 by 62783.
1
What is 326623 divided by -3?
-326623/3
-1377006 divided by -3
459002
Divide -237570 by -2.
118785
Calculate -609660 divided by 15.
-40644
What is -22 divided by -29697?
22/29697
What is 410191 divided by -410191?
-1
What is 2845933 divided by -1693?
-1681
297370 divided by 227
1310
Calculate -2 divided by -66117.
2/66117
What is 571013 divided by -571013?
-1
49884 divided by -12471
-4
Calculate 0 divided by 1599650.
0
What is -1668 divided by 1?
-1668
What is 46860 divided by -55?
-852
523900 divided by 130975
4
Calculate -54752 divided by 236.
-232
Calculate -10095352 divided by 6.
-5047676/3
Calculate -383278 divided by -2.
191639
1582663 divided by -5
-1582663/5
Divide 2424202 by -1111.
-2182
-3722 divided by 37
-3722/37
Divide -53 by -2815.
53/2815
What is -31803 divided by 4?
-31803/4
Divide 444816 by 148272.
3
What is -2834 divided by -65?
218/5
Divide -776 by 18.
-388/9
-27681 divided by 22
-27681/22
74616 divided by -8
-9327
-3 divided by -348994
3/348994
What is -77320 divided by 4?
-19330
Calculate -1726200 divided by -2.
863100
Divide -3319162 by 43106.
-77
What is -32357 divided by -1703?
19
Calculate -85644 divided by -1.
85644
-27304 divided by 8
-3413
Calculate 150868 divided by -4.
-37717
What is 18161 divided by 179?
18161/179
718047 divided by 4
718047/4
Calculate -508530 divided by 134.
-3795
What is -559 divided by 361?
-559/361
What is -27 divided by 19587?
-9/6529
Divide -137 by -330.
137/330
-46915 divided by -5
9383
What is -82530 divided by -1?
82530
Divide 2 by -1658.
-1/829
2 divided by -6226
-1/3113
What is -1364649 divided by -41353?
33
807583 divided by -1
-807583
What is 26752 divided by 418?
64
10 divided by 5185
2/1037
Divide 104 by 99.
104/99
What is 175447 divided by -175447?
-1
77480 divided by -1937
-40
-13 divided by 220097
-13/220097
What is 780 divided by 3?
260
What is -768584 divided by 4?
-192146
45854 divided by -14
-22927/7
Divide 197960 by -202.
-980
Calculate 490 divided by -186.
-245/93
Divide -45409 by 52.
-3493/4
72268 divided by 5162
14
Divide -848 by -687.
848/687
84219 divided by -3
-28073
Calculate 3 divided by 2812.
3/2812
Divide 4 by -190255.
-4/190255
Calculate 84546 divided by -6.
-14091
What is 57358 divided by 238?
241
-39 divided by 305
-39/305
-5 divided by -4156
5/4156
225967 divided by 2
225967/2
Divide 49 by 2308.
49/2308
Calculate 81 divided by -5232.
-27/1744
Calculate -504903 divided by 24043.
-21
64690 divided by 6469
10
Divide -415296 by -576.
721
0 divided by -84116
0
Divide -78442 by 78442.
-1
-24113952 divided by -6
4018992
What is 795 divided by 1373?
795/1373
Calculate 198246 divided by 5217.
38
-51335 divided by -13
51335/13
Calculate -225592 divided by 1304.
-173
What is 0 divided by 21783?
0
Calculate 35701 divided by -1879.
-19
Calculate 4 divided by 107815.
4/107815
Calculate -655 divided by -5.
131
Divide -1494040 by 10.
-149404
482210 divided by -10
-48221
Calculate -201 divided by 47.
-201/47
-1150026 divided by 3
-383342
What is -3561 divided by -45?
1187/15
Divide 26 by 1227.
26/1227
-188556 divided by 38
-4962
Divide -4788 by 228.
-21
Divide 350355 by 4.
350355/4
Divide -2485 by 2.
-2485/2
-30188 divided by 15094
-2
What is 38792 divided by -13?
-2984
What is -465 divided by 22?
-465/22
What is -187588 divided by -93794?
2
-7034 divided by 96
-3517/48
117462 divided by -4
-58731/2
Divide 15261 by 2.
15261/2
-5 divided by 32706
-5/32706
Divide -162702 by 23.
-7074
What is 1109700 divided by 277425?
4
Calculate -12387 divided by 9.
-4129/3
3309212 divided by -6
-1654606/3
Calculate 1042 divided by 95.
1042/95
5 divided by -173837
-5/173837
Divide 1109445 by 37.
29985
What is -616954 divided b
|
{
"pile_set_name": "DM Mathematics"
}
|
-17? (a) 3 (b) 1/2 (c) -36
b
What is the nearest to 7 in 0.2, -4, -1/5, -0.06?
0.2
Which is the nearest to 19? (a) 0.2 (b) -3 (c) 3/7
c
What is the nearest to -0.1143 in -2/5, -4/9, -2/13?
-2/13
What is the nearest to -1 in 122/3, -3/2, 3?
-3/2
Which is the nearest to -1/2? (a) 1/3 (b) -3 (c) -4
a
What is the nearest to 9 in -0.4, 0.2, -1/5, 0.5?
0.5
Which is the nearest to -1? (a) 0.4 (b) 0.6 (c) -1/3 (d) 5
c
What is the nearest to 0.2 in -0.2, -0.5, 4, -0.7?
-0.2
Which is the closest to -3/5? (a) -6 (b) 3 (c) 5 (d) 0.2
d
Which is the nearest to -11? (a) 0.5 (b) -0.4 (c) -1 (d) 3
c
Which is the nearest to 1? (a) -5 (b) 1/5 (c) 1 (d) -1/7
c
Which is the closest to -2? (a) 2 (b) -0.2 (c) -5 (d) -1.631
d
What is the closest to 1 in -1/7, 0.097, 0.5?
0.5
What is the nearest to -1 in 1/4, 2, 86?
1/4
What is the nearest to -5 in 1, -14, 2/5, -0.1?
-0.1
What is the nearest to -4/3 in 3, 0.2, -0.12, -0.02?
-0.12
Which is the closest to -0.09? (a) -3 (b) 1/7 (c) 3
b
What is the nearest to 1/4 in -215/2, 0, 2?
0
Which is the closest to 0? (a) 2 (b) 0.1 (c) 4/29
b
What is the closest to 3 in 3/8, -4, -3, 2?
2
Which is the nearest to 1.6? (a) 1 (b) 2 (c) -1 (d) -4
b
What is the closest to 29 in -0.5, -2/5, -4, -2?
-2/5
What is the nearest to 0.32 in -14, -4, 1, 1/2?
1/2
Which is the closest to 0? (a) -2.63 (b) 5 (c) 2/13
c
Which is the closest to -54? (a) 1/2 (b) 0.3 (c) 1
b
What is the closest to -1 in -13/5, 0, 2/25?
0
Which is the closest to 11/5? (a) 1 (b) -2 (c) -0.1
a
What is the nearest to -0.053 in -8, -5, -0.13?
-0.13
What is the closest to 36 in -2/9, -0.1, -4, 3/5?
3/5
Which is the nearest to 0? (a) 4/17 (b) -1 (c) 2
a
Which is the closest to 4? (a) -4 (b) -21 (c) 1/5
c
Which is the closest to 1? (a) -14 (b) -1 (c) 6
b
What is the nearest to 1 in -86, 0, -3?
0
What is the closest to 0.1 in 1, 0.5, -87?
0.5
What is the nearest to 2 in 24, -4, -3/5?
-3/5
Which is the closest to 5? (a) 0.9 (b) -0.01 (c) 4
c
Which is the closest to 2/7? (a) -3/4 (b) -2/5 (c) 0.5 (d) -1/6
c
Which is the nearest to -0.209? (a) -1/8 (b) -4 (c) -0.5
a
What is the nearest to -2 in -167, 3, 0.02?
0.02
Which is the nearest to -0.1? (a) 244 (b) 6 (c) -0.3 (d) -1/10
d
Which is the nearest to 0.1? (a) 2/249 (b) -2 (c) 0 (d) -3
a
Which is the nearest to 0.1? (a) -5 (b) 18 (c) -3 (d) -1.3
d
What is the nearest to -0.1 in 0.3, -5/3, 0.4, -4?
0.3
Which is the closest to -2? (a) 3 (b) 0.5 (c) 1/11 (d) -11
c
What is the nearest to 1/3 in 3, -6, 0.5, -5/2?
0.5
Which is the nearest to 1/4? (a) 2/9 (b) 10.5 (c) -0.4 (d) -1
a
Which is the closest to -0.056? (a) -4/5 (b) 0 (c) -2
b
Which is the closest to 0? (a) 2/7 (b) -0.5 (c) 1/4 (d) 0.2
d
Which is the closest to -1? (a) 2 (b) 2/3 (c) -32
b
Which is the closest to -0.1? (a) 3 (b) -0.4 (c) 0.37
b
What is the closest to 3/5 in 11/3, 0.5, 2, -1?
0.5
Which is the nearest to 42? (a) -1/2 (b) -3 (c) -0.1
c
Which is the nearest to -1/2? (a) -0.03 (b) 4 (c) -0.2 (d) 0.5
c
What is the nearest to -0.1 in 2/5, 2.4, 1/4?
1/4
Which is the closest to 4? (a) 1 (b) -0.76 (c) -5
a
Which is the nearest to 2/5? (a) -1/7 (b) -0.55 (c) -2 (d) -5
a
Which is the nearest to -1/2? (a) 4 (b) -7 (c) -0.2 (d) 1/6
c
Which is the closest to 0.022? (a) -3/8 (b) -3 (c) -0.2 (d) 2/19
d
What is the closest to -3 in 2/5, -1, -10?
-1
Which is the nearest to -0.04? (a) 1.38 (b) -1/3 (c) 4 (d) -1
b
What is the closest to 0 in -2, 1/8, 0.1, 0.147?
0.1
What is the nearest to 3/7 in -0.4, 1/4, -1, -5?
1/4
What is the nearest to -1 in -2, -4, 3/10?
-2
Which is the closest to 17? (a) -0.5 (b) -0.3 (c) -5 (d) -231
b
Which is the nearest to -1/3? (a) 0 (b) -1 (c) -0.2
c
What is the closest to -1/5 in -3, -6, 0.3, 3?
0.3
What is the closest to -2/11 in -2.9, 2/3, 3/4, -4?
2/3
Which is the closest to -1/3? (a) -0.1 (b) 0.5 (c) 0.03
a
Which is the nearest to -0.1? (a) 3 (b) 0.3 (c) 0.8
b
What is the closest to 490 in -0.3, -3, -3/2?
-0.3
What is the nearest to -2/5 in -4/3, -28, 0.04?
0.04
Which is the nearest to -1/2? (a) 4 (b) 1/4 (c) 190 (d) 2/5
b
Which is the nearest to 290? (a) 2 (b) -1/5 (c) -4
a
What is the nearest to -5 in 0.1, 3, -0.4, 5?
-0.4
Which is the closest to -1? (a) 0.1 (b) -2/5 (c) -5
b
Which is the nearest to 2.7? (a) 0.5 (b) -2/3 (c) -1 (d) 5
a
Which is the nearest to -0.2? (a) -4 (b) -2 (c) 11/5
b
Which is the nearest to -3? (a) -3/119 (b) -2 (c) 1/5
b
Which is the closest to -1? (a) 41 (b) 3/5 (c) 5 (d) -2
d
Which is the nearest to 4? (a) -4/5 (b) -3 (c) 1/8
c
Which is the nearest to 6/11? (a) 0.5 (b) -40/3 (c) -4 (d) -3
a
What is the nearest to -4 in -7/2, -1.1, 7?
-7/2
What is the closest to 2 in -0.1, -153, -0.3, 1?
1
What is the closest to 0.1 in 14, 1, 104, 2/11?
2/11
What is the nearest to 1 in -2/65, -2, -5?
-2/65
What is the nearest to 0 in 0.2, -3, 5, -0.01?
-0.01
Which is the nearest to 50? (a) 4/13 (b) 0 (c) 1
c
What is the nearest to 4/7 in 2/13, -5, -20/27?
2/13
What is the nearest to -1 in -2/17, 1/4, 1/2?
-2/17
What is the closest to 1 in 2, -16, -7, -4?
2
What is the closest to -4 in 26, -5/2, 0.3?
-5/2
What is the nearest to 0.1 in 19, 0.1, 0?
0.1
Which is the closest to -1/2? (a) -5 (b) -25 (c) -0.07
c
Which is the closest to -2? (a) 54 (b) 1 (c) 7 (d) 0.3
d
What is the nearest to 1.2 in -4, -2/3, -2/9, -0.01?
-0.01
What is the nearest to 1/3 in -2/11, 124, -0.3?
-2/11
What is the nearest to 0.07 in 0.1, 0.4, -4?
0.1
What is the closest to 2 in -5, -42, 0, -4?
0
What is the nearest to -5 in -2, -0.958, 1/3?
-2
Which is the nearest to 2? (a) 0.1 (b) 3 (c) -0.08 (d) -4
b
What is the closest to 26/5 in 1, 4, 0.2, 1/6?
4
Which is the closest to -0.9? (a) 3 (b) -4 (c) -0.1 (d) -2/3
d
Which is the closest to 0.429? (a) -0.06 (b) -2 (c) 0 (d) 2
c
What is the closest to 0 in 0.1, 5, -4, 0.5?
0.1
Which is the nearest to 10? (a) -5 (b) 0.5 (c) -3
b
Which is the closest to 1/3? (a) 0.4 (b) -0.4 (c) 5.3 (d) 0.3
d
What is the closest to -0.015 in -0.4, 0.4, -0.2, 0.2?
-0.2
Which is the nearest to 22? (a) -6 (b) 0.5 (c) -3/8 (d) 5
d
Which is the nearest to -1/2? (a) -1/7 (b) -0.3 (c) -2/155 (d) -2/9
b
What is the nearest to -1/3 in -1/3, -0.5, 4/5, -53?
-1/3
What is the nearest to 24 in 3, 2/7, -2/11?
3
What is the closest to -10 in 2, -1/6, 1/7?
-1/6
Which is the closest to -3? (a) 2 (b) -6 (c) 4 (d) 1/9
b
What is the closest to 0.1 in -0.1, -50, -2?
-0.1
Which is the nearest to -3? (a) -1 (b) 1 (c) 1/18 (d) -2
d
What is the nearest to -5/4 in -0.3, -112, 2/15?
-0.3
Which is the closest to 0.1? (a) -15 (b) 0.08 (c) 6 (d) 3/4
b
What is the closest to 1 in -0.07, 2/9, -5, -2?
2/9
Which is the nearest to 1/2? (a) -1 (b) 0.1 (c) 2/9
c
Which is the closest to 0.1? (a) 41 (b) 3 (c) -2
c
Which is the closest to -4? (a) -1/4 (b) -4 (c) 34
b
Which is the nearest to -2/5? (a) -3/8 (b) -1/3 (c) -0.26 (d) 3
a
What is the closest to 0 in -14, 1, 5, 2/11?
2/11
Which is the closest to 2/17? (a) -2/13 (b) -32 (c) -1/8 (d) 0
d
What is the nearest to -1/3 in -0.4, -3, -51?
-0.4
Which is the nearest to 1? (a) 1 (b) 0.2 (c) -4 (d) -3/8
a
What is the nearest to 12 in -0.15, 1/3, -0.3?
1/3
What is the closest to 0.1 in 2/13, -2, -0.22?
2/13
Which is the nearest to -1.3? (a) 0.4 (b) -11 (c) -0.04
c
What is the nearest to 1 in -2, -4.8, 1/3?
1/3
What is the closest to 0.01 in -0.4, 1/3, -3, 17?
1/3
What is the closest to -1 in 0.63, 2/17, -4/9, -1?
-1
Which is the nearest to 0? (a) -2/49 (b) 5 (c) -4
a
Which is the closest to -3? (a) -0.5 (b) -5 (c) -14
b
What is the closest to -1 in 4, 8, 11?
4
Which is the nearest to 0.1? (a) 1 (b) -3/2 (c) -2/1877
c
What is the closest to -1 in 0.2, 0.11, -0.2, 1?
-0.2
What is the nearest to 1/15 in -2, 4, 0, -4?
0
Which is the closest to 6/7? (a) -1/3 (b) -0.1 (c) -5
b
Which is the nearest to 580? (a) -4/7 (b) -2 (c) -4
a
Which is the nearest to 1? (a) 6 (b) 0.5 (c) -0.2 (d) -2/7
b
Which is the nearest to -2? (a) -22/3 (b) 2/3 (c) 0.4 (d) 0.2
d
Which is the nearest to -3? (a) 0.5 (b) 4 (c) -0.5
c
What is the closest to 2/7 in -10, 7, 1?
1
Which is the nearest to 1? (
|
{
"pile_set_name": "DM Mathematics"
}
|
104648
What is the y'th term of -7073, -13379, -19685, -25991?
-6306*y - 767
What is the c'th term of -62955974, -125911948, -188867922?
-62955974*c
What is the m'th term of 2335, 7610, 16407, 28732, 44591, 63990?
m**3 + 1755*m**2 + 3*m + 576
What is the w'th term of 112266, 224587, 336910, 449235, 561562, 673891?
w**2 + 112318*w - 53
What is the o'th term of -18352, -73453, -165310, -293929, -459316?
-o**3 - 18372*o**2 + 22*o - 1
What is the o'th term of 5286, 5756, 6824, 8724, 11690, 15956?
39*o**3 + 65*o**2 + 2*o + 5180
What is the k'th term of 1655, 7280, 16857, 30386?
1976*k**2 - 303*k - 18
What is the l'th term of 3904, 15505, 34878, 62023, 96940, 139629, 190090?
3886*l**2 - 57*l + 75
What is the q'th term of -5391, -20558, -45835, -81222, -126719, -182326, -248043?
-5055*q**2 - 2*q - 334
What is the f'th term of 31839, 94919, 189239, 314799, 471599, 659639?
15620*f**2 + 16220*f - 1
What is the m'th term of -30980, -32135, -34060, -36755?
-385*m**2 - 30595
What is the n'th term of 1269, 726, -767, -3690, -8523, -15746, -25839?
-80*n**3 + 5*n**2 + 2*n + 1342
What is the s'th term of 1643536, 1643549, 1643562, 1643575, 1643588?
13*s + 1643523
What is the g'th term of 354, 256, -270, -1218, -2582, -4356, -6534, -9110?
g**3 - 220*g**2 + 555*g + 18
What is the t'th term of -90, -361, -816, -1437, -2206, -3105, -4116?
3*t**3 - 110*t**2 + 38*t - 21
What is the w'th term of 401533, 1606131, 3613801, 6424543, 10038357, 14455243, 19675201?
401536*w**2 - 10*w + 7
What is the o'th term of -3184, -12690, -28516, -50662, -79128, -113914, -155020?
-3160*o**2 - 26*o + 2
What is the v'th term of 94772, 189529, 284286, 379043, 473800?
94757*v + 15
What is the d'th term of -17115, -17072, -16989, -16860, -16679, -16440, -16137?
d**3 + 14*d**2 - 6*d - 17124
What is the v'th term of 5687485, 11374902, 17062305, 22749688, 28437045, 34124370, 39811657?
-v**3 - v**2 + 5687427*v + 60
What is the g'th term of -27796004, -27796003, -27796002, -27796001?
g - 27796005
What is the h'th term of -144736, -289521, -434306, -579091, -723876?
-144785*h + 49
What is the y'th term of -1091, -414, 749, 2404, 4557, 7214?
y**3 + 237*y**2 - 41*y - 1288
What is the t'th term of 2256951, 2256961, 2256971, 2256981, 2256991?
10*t + 2256941
What is the j'th term of 36504024, 36504023, 36504022, 36504021?
-j + 36504025
What is the o'th term of 5892, 10879, 15882, 20901, 25936?
8*o**2 + 4963*o + 921
What is the w'th term of -267392, -1069654, -2406758, -4278704, -6685492?
-267421*w**2 + w + 28
What is the f'th term of 251613, 251658, 251729, 251826, 251949, 252098?
13*f**2 + 6*f + 251594
What is the a'th term of 302608, 605221, 907834, 1210447, 1513060, 1815673?
302613*a - 5
What is the b'th term of -1431, -1206, -959, -678, -351, 34, 489?
2*b**3 - b**2 + 214*b - 1646
What is the m'th term of 121, -88, -643, -1718, -3487, -6124?
-29*m**3 + m**2 - 9*m + 158
What is the l'th term of -123856, -495056, -1113726, -1979866, -3093476, -4454556?
-123735*l**2 + 5*l - 126
What is the f'th term of -520292, -2081245, -4682834, -8325059, -13007920, -18731417, -25495550?
-520318*f**2 + f + 25
What is the b'th term of 861, 7025, 23463, 55215, 107321?
840*b**3 + 97*b**2 - 7*b - 69
What is the d'th term of -7857, -15535, -23211, -30885?
d**2 - 7681*d - 177
What is the j'th term of 16122, 32980, 49838?
16858*j - 736
What is the s'th term of -47771669, -95543355, -143315041, -191086727, -238858413, -286630099?
-47771686*s + 17
What is the p'th term of 1052514, 2104514, 3156516, 4208520, 5260526?
p**2 + 1051997*p + 516
What is the y'th term of 74409, 74733, 75273, 76029, 77001, 78189, 79593?
108*y**2 + 74301
What is the d'th term of 245, 1225, 2897, 5267, 8341, 12125, 16625, 21847?
d**3 + 340*d**2 - 47*d - 49
What is the b'th term of 26281, 44665, 63059, 81469, 99901?
b**3 - b**2 + 18380*b + 7901
What is the x'th term of -4514, -14041, -29916, -52139, -80710, -115629, -156896?
-3174*x**2 - 5*x - 1335
What is the q'th term of 218187130, 436374263, 654561398, 872748535, 1090935674, 1309122815?
q**2 + 218187130*q - 1
What is the q'th term of 5827, 7883, 9939, 11995?
2056*q + 3771
What is the z'th term of -188860, -188778, -188696, -188620, -188556, -188510?
-z**3 + 6*z**2 + 71*z - 188936
What is the s'th term of 63113, 126209, 189287, 252347, 315389, 378413?
-9*s**2 + 63123*s - 1
What is the p'th term of -123004, -122565, -121830, -120793, -119448?
p**3 + 142*p**2 + 6*p - 123153
What is the q'th term of 569491, 569628, 569851, 570160, 570555?
43*q**2 + 8*q + 569440
What is the h'th term of 7584, 15147, 22702, 30249, 37788, 45319, 52842?
-4*h**2 + 7575*h + 13
What is the w'th term of -1140, -1883, -2184, -2043?
221*w**2 - 1406*w + 45
What is the s'th term of 4743, 5002, 5437, 6042, 6811, 7738, 8817?
-s**3 + 94*s**2 - 16*s + 4666
What is the u'th term of 4916704, 9833410, 14750116, 19666822, 24583528?
4916706*u - 2
What is the j'th term of 19807, 19967, 20233, 20605?
53*j**2 + j + 19753
What is the j'th term of -42085, -42125, -42183, -42253, -42329, -42405, -42475, -42533?
j**3 - 15*j**2 - 2*j - 42069
What is the p'th term of 288555, 289637, 290719?
1082*p + 287473
What is the m'th term of -23035493, -23035491, -23035489, -23035487?
2*m - 23035495
What is the y'th term of -1257815, -2515601, -3773387?
-1257786*y - 29
What is the b'th term of 339567, 339382, 339197, 339012, 338827?
-185*b + 339752
What is the f'th term of 138610331, 277220662, 415830993, 554441324, 693051655, 831661986?
138610331*f
What is the b'th term of -245206, -245329, -245534, -245821, -246190, -246641, -247174?
-41*b**2 - 245165
What is the m'th term of 56039, 55845, 55649, 55451, 55251, 55049, 54845?
-m**2 - 191*m + 56231
What is the a'th term of -118368940, -118368935, -118368930?
5*a - 118368945
What is the w'th term of 10133306, 10133302, 10133298, 10133294?
-4*w + 10133310
What is the p'th term of 80208, 160366, 240524?
80158*p + 50
What is the u'th term of 3671426, 7342847, 11014268, 14685689, 18357110, 22028531?
3671421*u + 5
What is the t'th term of -138894, -277779, -416652, -555507, -694338, -833139?
t**3 - 138892*t - 3
What is the p'th term of 28995, 36528, 44061, 51594, 59127?
7533*p + 21462
What is the q'th term of 32743, 64968, 97197, 129430, 161667, 193908?
2*q**2 + 32219*q + 522
What is the n'th term of -5322, -10692, -16056, -21414, -26766, -32112, -37452?
3*n**2 - 5379*n + 54
What is the b'th term of 909, 1981, 3053, 4125, 5197?
1072*b - 163
What is the v'th term of 3478, 2952, 1524, -1256, -5838?
-75*v**3 - v**2 + 2*v + 3552
What is the n'th term of -343117, -1372362, -3087775, -5489356, -8577105, -12351022?
-343084*n**2 + 7*n - 40
What is the o'th term of 7908, 15909, 24016, 32235, 40572, 49033?
o**3 + 47*o**2 + 7853*o + 7
What is the k'th term of -1279, -4262, -9157, -15964, -24683?
-956*k**2 - 115*k - 208
What is the f'th term of 8297, 68024, 167567, 306926?
19908*f**2 + 3*f - 11614
What is the b'th term of -25442, -50879, -76320, -101765, -127214, -152667?
-2*b**2 - 25431*b - 9
What is the n'th term of -48932, -98423, -148470, -199073, -250232?
-278*n**2 - 48657*n + 3
What is the t'th term of 139112, 556762, 1252852, 2227382?
139220*t**2 - 10*t - 98
What is the h'th term of -46798, -47071, -47304, -47491, -47626, -47703, -47716, -47659?
h**3 + 14*h**2 - 322*h - 46491
What is the x'th term of -352311, -348910, -343241, -335304, -325099?
1134*x**2 - x - 353444
What is the i'th term of -796702, -1593249, -2389786, -3186307, -3982806, -4779277?
i**3 - i**2 - 796551*i - 151
What is the n'th term of -20797, -42895, -64993, -87091, -109189, -131287?
-22098*n + 1301
What is the f'th term of -8609, -34585, -77917, -138605, -216649, -312049, -424805?
-8678*f**2 + 58*f + 11
What is the v'th term of -4539122, -4539118, -4539114, -4539110, -4539106, -4539102?
4*v - 4539126
What is the x'th term of 8251, 32918, 74055, 131662, 205739?
8235*x**2 - 38*x + 54
What is the x'th term of 1144975, 1145023, 1145101, 1145209, 1145347?
15*x**2 + 3*x + 1144957
What is the z'th term of 45209, 53422, 61635, 69848?
8213*z + 36996
What is the f'th term of -395, -990, -1609, -2258, -2943?
-f**3 - 6*f**2 - 570*f + 182
What is the y'th term of 563, -48, -1703, -4924, -10233, -18152, -29203?
-87*y**3 - 2*y + 652
What is the f'th term of 4563,
|
{
"pile_set_name": "DM Mathematics"
}
|
there in sixty-seven fifths of a microgram?
13400
How many kilograms are there in 103690.6 nanograms?
0.0000001036906
Convert 21.78571cm to micrometers.
217857.1
What is 17/2 of a litre in millilitres?
8500
How many milligrams are there in twenty-nine halves of a gram?
14500
How many seconds are there in 1/15 of a day?
5760
Convert 8288.83nm to centimeters.
0.000828883
How many microseconds are there in 55069.58 minutes?
3304174800000
Convert 7.722854 millimeters to kilometers.
0.000007722854
Convert 45.27898 days to nanoseconds.
3912103872000000
What is 3/10 of a centimeter in millimeters?
3
Convert 35357231.7ms to weeks.
0.05846103125
How many nanometers are there in 37/2 of a micrometer?
18500
What is seventeen quarters of a kilogram in grams?
4250
How many litres are there in 0.6720721ml?
0.0006720721
What is 1/10 of a litre in millilitres?
100
How many minutes are there in 17/4 of a hour?
255
How many kilograms are there in five quarters of a tonne?
1250
How many kilometers are there in 89415.76cm?
0.8941576
What is 15/4 of a millennium in decades?
375
What is 25/4 of a millennium in years?
6250
What is fourty-four fifths of a litre in millilitres?
8800
How many micrometers are there in six fifths of a millimeter?
1200
What is fourty-four fifths of a litre in millilitres?
8800
What is 17/2 of a second in milliseconds?
8500
How many decades are there in 1679.2068 months?
13.99339
What is 2.586051us in minutes?
0.00000004310085
What is 3/16 of a week in minutes?
1890
How many seconds are there in 1/36 of a day?
2400
How many nanometers are there in 0.8375688 millimeters?
837568.8
What is 3875825.1 days in weeks?
553689.3
What is thirteen quarters of a century in months?
3900
How many seconds are there in 9/10 of a day?
77760
How many micrometers are there in 3/50 of a millimeter?
60
How many millimeters are there in thirty-two fifths of a centimeter?
64
How many months are there in 71.42918 millennia?
857150.16
What is 569.4163 years in millennia?
0.5694163
How many weeks are there in 9987912.9 nanoseconds?
0.00000001651440625
What is 22.37081ml in litres?
0.02237081
How many millilitres are there in 11.98886 litres?
11988.86
What is 0.8938994mg in kilograms?
0.0000008938994
Convert 34897.28 centuries to months.
41876736
What is one quarter of a day in minutes?
360
Convert 8.494443ms to days.
0.0000000983153125
What is eleven tenths of a litre in millilitres?
1100
What is 69352.35 millennia in years?
69352350
How many micrograms are there in 27/2 of a milligram?
13500
How many micrometers are there in 399943.3m?
399943300000
How many hours are there in 10/21 of a week?
80
How many millilitres are there in 19/4 of a litre?
4750
How many millilitres are there in twenty-seven halves of a litre?
13500
How many millilitres are there in 3/50 of a litre?
60
How many years are there in 103.3464 months?
8.6122
How many millilitres are there in thirteen fifths of a litre?
2600
How many kilograms are there in 21/4 of a tonne?
5250
How many micrometers are there in six fifths of a millimeter?
1200
How many months are there in 4/3 of a century?
1600
How many minutes are there in 26.733093 milliseconds?
0.00044555155
What is 835155.81ns in hours?
0.000000231987725
How many litres are there in 6509.725 millilitres?
6.509725
What is 6/5 of a decade in years?
12
How many milliseconds are there in 94.47194s?
94471.94
Convert 9715.345ml to litres.
9.715345
How many minutes are there in 3.695372 weeks?
37249.34976
How many microseconds are there in 0.1767224ms?
176.7224
How many years are there in thirty-one halves of a decade?
155
What is 3/5 of a millennium in years?
600
What is 0.2673341 centuries in months?
320.80092
What is 5.432934 days in minutes?
7823.42496
What is 1/4 of a week in hours?
42
Convert 5.737467 centimeters to meters.
0.05737467
What is 336917.7mg in micrograms?
336917700
What is 85226.87 hours in milliseconds?
306816732000
Convert 1535.404l to millilitres.
1535404
What is fifty-one quarters of a litre in millilitres?
12750
What is one fifth of a micrometer in nanometers?
200
What is 1872.97 centuries in millennia?
187.297
Convert 370710.8 litres to millilitres.
370710800
How many micrometers are there in 18/5 of a millimeter?
3600
What is 311283.3t in grams?
311283300000
What is 73589.49us in hours?
0.000020441525
How many tonnes are there in 78054.52 micrograms?
0.00000007805452
Convert 38.19494 years to months.
458.33928
How many millimeters are there in six fifths of a meter?
1200
What is 17/2 of a litre in millilitres?
8500
What is 132001.1 microseconds in seconds?
0.1320011
What is 479.257 decades in millennia?
4.79257
Convert 638.279 decades to millennia.
6.38279
How many millilitres are there in 31/5 of a litre?
6200
What is 34.51708 kilograms in nanograms?
34517080000000
What is 2641406.1 months in years?
220117.175
Convert 6.637902 litres to millilitres.
6637.902
What is 393.9638 centimeters in kilometers?
0.003939638
What is 186.8585 millimeters in centimeters?
18.68585
What is 17/10 of a litre in millilitres?
1700
What is 9497.177 millennia in years?
9497177
What is 0.0179559 decades in years?
0.179559
Convert 44159.8122 seconds to weeks.
0.0730155625
What is 3/10 of a minute in seconds?
18
Convert 85.4799l to millilitres.
85479.9
How many micrograms are there in nineteen quarters of a milligram?
4750
Convert 77253.29 micrometers to meters.
0.07725329
What is thirteen quarters of a litre in millilitres?
3250
How many micrograms are there in 3/8 of a milligram?
375
What is 425994.3 millilitres in litres?
425.9943
How many litres are there in 307321.5 millilitres?
307.3215
How many seconds are there in 3/8 of a day?
32400
How many grams are there in 323485.9 nanograms?
0.0003234859
Convert 7218.088 centuries to millennia.
721.8088
What is 15/4 of a decade in months?
450
How many milligrams are there in 33/5 of a gram?
6600
What is 31/5 of a litre in millilitres?
6200
How many months are there in seven eighths of a decade?
105
How many millilitres are there in 75253.11l?
75253110
What is 4.19673kg in tonnes?
0.00419673
How many litres are there in 25415.8 millilitres?
25.4158
Convert 749.0254 grams to milligrams.
749025.4
What is 17/4 of a litre in millilitres?
4250
How many millimeters are there in 7/4 of a meter?
1750
What is nine tenths of a decade in months?
108
How many nanograms are there in 186327.6 milligrams?
186327600000
How many years are there in 626.124 months?
52.177
What is thirteen fifths of a micrometer in nanometers?
2600
How many nanograms are there in seven eighths of a microgram?
875
What is 176.7508155 microseconds in weeks?
0.00000000029224671875
How many centimeters are there in 7.876307 micrometers?
0.0007876307
Convert 626.26131 minutes to days.
0.4349036875
What is 2/45 of a week in minutes?
448
How many nanoseconds are there in twenty-one halves of a microsecond?
10500
What is 3/8 of a millennium in months?
4500
What is thirty-four fifths of a meter in millimeters?
6800
How many tonnes are there in 0.0528257ug?
0.0000000000000528257
How many nanometers are there in 21/5 of a micrometer?
4200
How many centimeters are there in 42010.88um?
4.201088
What is 11/2 of a litre in millilitres?
5500
What is seven halves of a litre in millilitres?
3500
Convert 8688.384 centuries to millennia.
868.8384
What is eleven halves of a gram in milligrams?
5500
How many meters are there in 6289.94 kilometers?
6289940
How many years are there in thirteen quarters of a millennium?
3250
What is 32344.31g in milligrams?
32344310
What is 6/5 of a centimeter in micrometers?
12000
How many millimeters are there in fourty-five quarters of a meter?
11250
What is 931.318 centuries in decades?
9313.18
What is five quarters of a minute in seconds?
75
How many micrometers are there in 937903.7 centimeters?
9379037000
Convert 14051742.3 nanoseconds to days.
0.00000016263590625
What is 11/4 of a micrometer in nanometers?
2750
How many millilitres are there in 47/4 of a litre?
11750
How many millilitres are there in thirty-three fifths of a litre?
6600
What is seven quarters of a kilometer in meters?
1750
How many nanoseconds are there in 56.99254ms?
56992540
How many millilitres are there in 31/2 of a litre?
15500
How many centimete
|
{
"pile_set_name": "DM Mathematics"
}
|
+ s*a**2 + 54*a - 6*a**2 - 16*a wrt a.
30
Let b(p) be the first derivative of 30*p**4 + p**3/3 - 109*p**2 + 2059. Find the third derivative of b(v) wrt v.
720
Let c be 1*-2 - (-6 + (-196)/4). Find the second derivative of -13*d**4 - c*d - 207*d**2 + 204*d**2 + 0*d wrt d.
-156*d**2 - 6
Let s = 12 - 8. What is the third derivative of -79*l**2 + 4 - 120*l**3 - 33*l**3 - s + 138*l**2 wrt l?
-918
Let s(x) = x**2 + 8*x - 3. Let t be s(-9). Suppose -5*m + t = -4. What is the first derivative of m*l**3 - 121 + 113 - 7*l**3 wrt l?
-15*l**2
Let m(g) = g**3 + 2*g**2 - 1. Let t(v) = -4*v**3 + 54*v**2 + 2*v + 230. Let z(b) = -m(b) + t(b). Find the second derivative of z(y) wrt y.
-30*y + 104
Let c(g) be the second derivative of 10/3*g**3 + 0*g**2 + 1/15*g**6 - g + 0*g**4 - 5 - 3/4*g**5. What is the second derivative of c(k) wrt k?
24*k**2 - 90*k
What is the first derivative of -1988 + 7273*j**2 - 3710*j**2 - 4487*j**2 wrt j?
-1848*j
Let m(g) = g**2 + 5*g. Let c(z) = z**3 + 333*z**2 + 19*z + 181. Let p(h) = c(h) - 4*m(h). What is the second derivative of p(k) wrt k?
6*k + 658
What is the first derivative of 1196 + 1247*h - 500 - 667*h + 1976*h wrt h?
2556
Let c(j) = -191*j**3 + 153*j**2 - 13*j - 11. Let u(l) = 381*l**3 - 358*l**2 + 27*l + 22. Let t(a) = 7*c(a) + 3*u(a). What is the third derivative of t(y) wrt y?
-1164
Let r(a) be the second derivative of 223*a**7/42 - a**6/30 - a**5/10 - 4*a**3/3 + 253*a**2/2 + 2*a + 755. Find the second derivative of r(b) wrt b.
4460*b**3 - 12*b**2 - 12*b
Let u(f) = -6*f - 2. Let r be u(0). Let d be 7 - r - 3 - 0. What is the third derivative of -4*s**5 + 11*s**2 + 8*s**d + 4*s**5 + 0*s**2 wrt s?
960*s**3
What is the third derivative of 3*u**4 + 3817*u**2 - 9567*u**2 + 3100*u**5 + 3814*u**2 wrt u?
186000*u**2 + 72*u
What is the third derivative of -40*n**2 + 5*n + 182*n**2 + 85*n**2 + 72*n**2 + 4579*n**4 - 1867*n**4 wrt n?
65088*n
Suppose 2*m = 0, 2*y - 3*m - 50 = m. Let j be ((-24)/10)/((-10)/y). What is the third derivative of -8 + 4*h**2 + 2 - 16*h**5 + j wrt h?
-960*h**2
Let p(a) be the second derivative of -1031*a**6/10 - 179*a**2/2 - 868*a. Find the first derivative of p(b) wrt b.
-12372*b**3
Let i = -504 + 595. What is the second derivative of 17*w + 23*w - 126*w - 64*w - i*w**4 wrt w?
-1092*w**2
Let v = 4511 - 4427. Suppose 0 = 3*l - 89 - 97. What is the second derivative of 38*m + l*m**5 - v*m**5 - 11*m wrt m?
-440*m**3
Let i be 1 - (0 - -49 - 2). Let g = i - -51. What is the second derivative of w**5 - 7*w**g + 8*w + 4*w + w**5 wrt w?
-100*w**3
Suppose 5*x = -2*v + 110, 75 = -0*x + 3*x + 3*v. Let a = 4700 + -4695. What is the second derivative of -16*d**a + d**5 + x*d + 13*d wrt d?
-300*d**3
Let a be 1/(-1) + 1 + 5. What is the third derivative of -31*b**a + 35*b**2 + 34*b**5 - 5*b**2 + 1 wrt b?
180*b**2
What is the derivative of -1582 - 2802*r + 15198*r - 8701 - 3533 wrt r?
12396
Find the third derivative of -63664712*x - 3429*x**6 + 63664712*x + 1607*x**2 wrt x.
-411480*x**3
What is the first derivative of 32 - 1394*m - 168 - 418 + 1994 + 1790 wrt m?
-1394
Find the second derivative of 1459 + h**3 + 48*h**4 + 340*h - 2*h**5 - 339*h - 16*h**3 + 12*h**3 - 8*h**4 wrt h.
-40*h**3 + 480*h**2 - 18*h
Let i(m) = -1222*m**2 - 11*m + 41. Let x(g) = 611*g**2 + 4*g - 20. Let z(q) = -6*i(q) - 13*x(q). What is the second derivative of z(p) wrt p?
-1222
Let k(o) be the third derivative of o**6/120 + 2155*o**4/24 + 19*o**3/6 - 37*o**2 - 15. Differentiate k(a) wrt a.
3*a**2 + 2155
Let k = 71 - 45. What is the second derivative of 2183*u + k*u**5 + 3*u**3 + 1 - 2184*u + 1 - 2*u**3 wrt u?
520*u**3 + 6*u
Let c(v) = -1605*v**2 + 24*v + 1537. Let x(w) = -19260*w**2 + 300*w + 18445. Let d(a) = 25*c(a) - 2*x(a). Find the first derivative of d(u) wrt u.
-3210*u
Suppose 2*b + 3*q - 1096 = 0, -4*b - 2*q + 2220 = -3*q. What is the first derivative of -b - 15*w + 56*w + 400 + 38*w wrt w?
79
Let c(u) be the third derivative of 401*u**6/40 + u**5/60 + 289*u**3/6 + 1536*u**2. Find the third derivative of c(d) wrt d.
7218
Let b(o) = 3*o**2 + 14*o - 1. Let p be b(-5). Find the second derivative of 55*j**p + 244*j - 193*j - 18*j**4 wrt j.
444*j**2
Let o(v) be the second derivative of v**5/10 - 137*v**4/2 - 418*v**2 + 283*v + 2. What is the first derivative of o(l) wrt l?
6*l**2 - 1644*l
What is the third derivative of 750*j**3 - 96*j**4 + 3*j**2 - 48*j**2 - j - 744*j**3 wrt j?
-2304*j + 36
What is the second derivative of 38644 + 2905*p + 14*p**2 + 6*p**3 - 38644 wrt p?
36*p + 28
Let a(g) be the third derivative of -27*g**9/8 + 244*g**5/15 + 323*g**2. Find the third derivative of a(i) wrt i.
-204120*i**3
Let u be 5/(-30) - 610/12. Let k = -7 - u. Find the second derivative of 39*d - k*d**3 - 13*d**4 + 44*d**3 wrt d.
-156*d**2
Let g(q) be the second derivative of 5437*q**5/20 - 799*q**4/12 - 1725*q. Find the third derivative of g(b) wrt b.
32622
Differentiate -1297 + 699 + 0*c + 35450*c**2 - 11708 - 35434*c**2 - 7*c wrt c.
32*c - 7
Find the third derivative of -604*k**2 + 3*k**3 - 14*k**3 + 7*k**3 + 23*k**5 + 89*k**5 - 29*k**5 wrt k.
4980*k**2 - 24
Let a(k) = 16*k**2 - 11*k - 1. Let n be a(-6). What is the second derivative of -81*i - 48*i**2 + n - 321 - 320 wrt i?
-96
Find the second derivative of 77*d - 63*d + 385 - 12*d - 2801*d**3 wrt d.
-16806*d
Let l(g) be the first derivative of -3*g**2 - 15 - 89/3*g**3 - 5*g. Find the second derivative of l(j) wrt j.
-178
Let c be 969/(-51) + 1*-1 + 3. Let d = 90 + c. What is the third derivative of d*o**4 - 73*o**4 + 38*o**2 + 3*o**6 + 2*o**6 wrt o?
600*o**3
Let r(l) = l**4 + 2*l**2 - l. Let y = 100 - 101. Let s(z) = -124*z**4 - 6*z**2 - 10*z + 1. Let i(p) = y*s(p) - 3*r(p). Find the second derivative of i(x) wrt x.
1452*x**2
Suppose 2*t = 4*m + 54, -7*t = -3*t + m - 108. Let q be (-3)/(t/(-20)) - (-10)/(-45). What is the third derivative of -2217 + 23*a**5 + 15*a**q + 2217 wrt a?
1380*a**2
Let y(u) be the second derivative of -4/3*u**3 + 0*u**4 + 0 - 14/5*u**5 - u**2 - 49*u. What is the second derivative of y(v) wrt v?
-336*v
Suppose 0 = -3*d - 3*a - 1 + 22, a - 5 = 0. Find the third derivative of 9 - 109*h**6 + 10*h**3 + 6 + 2*h**3 - 13*h**3 + h**d wrt h.
-13080*h**3 - 6
Let r(j) be the third derivative of 877*j**7/105 + j**6/60 + 31*j**4/12 + j**3 + 7380*j**2. What is the second derivative of r(c) wrt c?
21048*c**2 + 12*c
Let h(g) be the second derivative of -1786*g**6/5 + 2523*g**2/2 + 63*g - 10. What is the first derivative of h(k) wrt k?
-42864*k**3
Let q = -114 - -103. Let m(g) = -26*g**2 + 4*g + 33. Let s(u) = -77*u**2 + 11*u + 97. Let f(w) = q*m(w) + 4*s(w). Differentiate f(y) with respect to y.
-44*y
What is the second derivative of 72 + 27*l**4 + 19090*l**3 + 8*l - 19090*l**3 - 7*l**2 wrt l?
324*l**2 - 14
Let a(i) = -1293*i**2 + 889*i + 6. Let l(w) = -430*w**2 + 297*w + 2. Let u(m) = -3*a(m) + 8*l(m). Find the second derivative of u(n) wrt n.
878
What is the third derivative of 2*k**4 - 4*k**2 + 78*k - 5*k**2 - 17*k**5 + 6 + 80*k**3 - 8*k**2 + 20*k**2 wrt k?
-1020*k**2 + 48*k + 480
Let j = -73 + 98. What is the first derivative of 58 - j - 39*d - 15 + 23 wrt d?
-39
Let o(z) be the first derivative of 28*z**5/5 - 3*z**4/2 - 103*z**3 + 827. Find the third derivative of o(t) wrt t.
672*t - 36
Let r = 754 - 752. Differentiate 422*w**3 - 6 - 14*w**2 + 23 - w**2 - 426*w**3 - 4*w**r with respect to w.
-12*w**2 - 38*w
Let a(k) be the first derivative of k**6/2 + 104*k**5 + 11*k**2/2 - 3*k + 3614. What is the second derivative of a(d) wrt d?
60*d**3 + 6240*d**2
Find the first derivative of -4385 + 138*y**3 - 754 + 2185*y**2 - 137*y**3 - 1091 wrt y.
3*y**2 + 4370*y
Find the third derivative of 27*f + 2*f**3 - 404*f**4 + 684*f**2 + 1688*f**2 + f - 28*f wrt f.
-9696*f + 12
Let k be (3 - 20/(-35)) + -3 + (-1178)/(-266). Let n(g) be the first derivative of 0*g**3 + 0*g**2 + 0*g**4 - 11/5*g**k - 2 - 16*g. Differentiate n(c) wrt c.
-44*c**3
Suppose 0 = 2*l - 85 + 81. Find the second derivative of 0*f**3 + f**3 - 70*f - 75*f**l + f**3 - 27*f wrt f.
12*f - 150
Let u be 12/(-10)*10/(-4). Suppose -6*t + 75 = 63. Find the third derivative of -12*p**2 - 7*p**t + 5*p**2 + 2*p**u wrt p.
12
What is the first derivative of 43 - 108 - 818*g**4 - 454 - 217*g**4 + 4 wrt g?
-4140*g**3
Let l(o) = 9331*o + 10570. Let f
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 8452?
980
Calculate the remainder when 593900 is divided by 13587.
9659
Calculate the remainder when 7186913 is divided by 156.
149
What is the remainder when 295104 is divided by 36729?
1272
What is the remainder when 2090826 is divided by 1674?
0
What is the remainder when 1064498 is divided by 47?
42
What is the remainder when 1590489 is divided by 4382?
4205
Calculate the remainder when 5765119 is divided by 80.
79
What is the remainder when 29068 is divided by 110?
28
Calculate the remainder when 10189575 is divided by 1870.
1815
Calculate the remainder when 41773798 is divided by 196121.
25
Calculate the remainder when 529906 is divided by 182.
104
What is the remainder when 5363206 is divided by 5363194?
12
What is the remainder when 23858442 is divided by 120?
42
What is the remainder when 48800 is divided by 46598?
2202
What is the remainder when 1427290 is divided by 713631?
28
Calculate the remainder when 42609903 is divided by 71.
34
Calculate the remainder when 727245 is divided by 171.
153
Calculate the remainder when 1890171 is divided by 85.
26
What is the remainder when 86383 is divided by 21019?
2307
What is the remainder when 888220 is divided by 4791?
1885
What is the remainder when 8840039 is divided by 1167?
14
Calculate the remainder when 780009 is divided by 64998.
33
What is the remainder when 8938908 is divided by 2591?
2549
What is the remainder when 721424 is divided by 193?
183
What is the remainder when 2786923 is divided by 38?
3
Calculate the remainder when 6350458 is divided by 6350450.
8
What is the remainder when 182789 is divided by 60896?
101
What is the remainder when 53296 is divided by 17438?
982
Calculate the remainder when 36747709 is divided by 646.
645
Calculate the remainder when 227110755 is divided by 42.
39
Calculate the remainder when 949654 is divided by 73028.
290
What is the remainder when 815867 is divided by 97?
0
Calculate the remainder when 71285519 is divided by 23761825.
44
What is the remainder when 4564733 is divided by 5?
3
Calculate the remainder when 1135637 is divided by 178.
175
Calculate the remainder when 544859 is divided by 15659.
12453
Calculate the remainder when 5554239 is divided by 3273.
3231
What is the remainder when 699337 is divided by 372?
349
What is the remainder when 1228087 is divided by 76?
3
What is the remainder when 17357264 is divided by 1101?
1100
What is the remainder when 127915918 is divided by 9581?
9568
What is the remainder when 1113653 is divided by 159081?
86
What is the remainder when 971757 is divided by 1315?
1287
What is the remainder when 378874 is divided by 94402?
1266
What is the remainder when 175247 is divided by 80356?
14535
Calculate the remainder when 6342904 is divided by 240.
184
Calculate the remainder when 1345269 is divided by 32030.
9
What is the remainder when 879447 is divided by 64?
23
Calculate the remainder when 8271 is divided by 3341.
1589
What is the remainder when 79275378 is divided by 94827?
6
What is the remainder when 12755144 is divided by 4251708?
20
What is the remainder when 184878 is divided by 45269?
3802
Calculate the remainder when 1481761 is divided by 1390.
21
Calculate the remainder when 3388569 is divided by 376506.
15
What is the remainder when 23983956 is divided by 55?
51
What is the remainder when 11015841 is divided by 35?
11
What is the remainder when 88124 is divided by 14662?
152
Calculate the remainder when 59108295 is divided by 83.
11
What is the remainder when 285699 is divided by 23?
16
Calculate the remainder when 6732488 is divided by 374025.
38
Calculate the remainder when 5739720 is divided by 59.
23
What is the remainder when 1683601 is divided by 48102?
31
What is the remainder when 3648872 is divided by 2489?
2487
What is the remainder when 1217623 is divided by 16911?
31
Calculate the remainder when 1382029 is divided by 145.
34
Calculate the remainder when 1163435 is divided by 12927.
5
Calculate the remainder when 4758673 is divided by 4.
1
What is the remainder when 16090399 is divided by 4637?
9
Calculate the remainder when 9336545 is divided by 137302.
9
What is the remainder when 26383039 is divided by 23?
15
Calculate the remainder when 144377 is divided by 5665.
2752
What is the remainder when 472391 is divided by 235958?
475
What is the remainder when 147053 is divided by 20997?
74
Calculate the remainder when 164534 is divided by 2004.
206
What is the remainder when 96431 is divided by 15959?
677
Calculate the remainder when 44568 is divided by 245.
223
Calculate the remainder when 605991 is divided by 100.
91
Calculate the remainder when 4436737 is divided by 1.
0
What is the remainder when 8010 is divided by 6015?
1995
What is the remainder when 8540333 is divided by 8540308?
25
Calculate the remainder when 915102 is divided by 5942.
34
Calculate the remainder when 175447 is divided by 3310.
17
What is the remainder when 8731 is divided by 4408?
4323
What is the remainder when 45241850 is divided by 149313?
11
What is the remainder when 944931 is divided by 3094?
1261
Calculate the remainder when 80039 is divided by 19224.
3143
Calculate the remainder when 22668454 is divided by 54.
10
Calculate the remainder when 10925825 is divided by 587.
581
What is the remainder when 9165954 is divided by 369?
363
What is the remainder when 101735 is divided by 543?
194
Calculate the remainder when 8972428 is divided by 15.
13
What is the remainder when 17494108 is divided by 6?
4
What is the remainder when 841414 is divided by 72?
22
Calculate the remainder when 64602549 is divided by 25.
24
Calculate the remainder when 2192407 is divided by 6725.
57
Calculate the remainder when 51575 is divided by 4591.
1074
What is the remainder when 3361299375 is divided by 376?
375
What is the remainder when 1889778 is divided by 13794?
0
What is the remainder when 614051 is divided by 33678?
7847
What is the remainder when 118423 is divided by 2337?
1573
What is the remainder when 3828 is divided by 107?
83
What is the remainder when 49552 is divided by 123?
106
Calculate the remainder when 1443050 is divided by 3272.
98
What is the remainder when 94337 is divided by 47149?
39
Calculate the remainder when 28458 is divided by 320.
298
Calculate the remainder when 5149 is divided by 5136.
13
Calculate the remainder when 18905 is divided by 5297.
3014
What is the remainder when 11580920 is divided by 139?
135
What is the remainder when 1567631 is divided by 1567592?
39
Calculate the remainder when 2450641 is divided by 790.
61
Calculate the remainder when 9653 is divided by 2224.
757
Calculate the remainder when 22257 is divided by 5343.
885
What is the remainder when 955387 is divided by 29849?
219
What is the remainder when 67502563 is divided by 46?
1
What is the remainder when 1921498 is divided by 913?
546
Calculate the remainder when 8161209 is divided by 6.
3
What is the remainder when 274001 is divided by 136925?
151
What is the remainder when 855449 is divided by 26732?
25
What is the remainder when 46661672 is divided by 85?
72
Calculate the remainder when 52374503 is divided by 690.
53
What is the remainder when 2020513 is divided by 1010252?
9
What is the remainder when 33064 is divided by 1683?
1087
Calculate the remainder when 11507296 is divided by 158.
156
What is the remainder when 41336 is divided by 450?
386
What is the remainder when 1548897 is divided by 798?
777
Calculate the remainder when 1390537 is divided by 1641.
610
Calculate the remainder when 648705 is divided by 323278.
2149
Calculate the remainder when 188647 is divided by 227.
10
What is the remainder when 8023637 is divided by 48?
5
Calculate the remainder when 279623200 is divided by 5032.
5024
What is the remainder when 391412 is divided by 2289?
2282
Calculate the remainder when 348534 is divided by 6703.
6681
What is the remainder when 15260965 is divided by 34?
31
Calculate the remainder when 2348657 is divided by 6947.
571
What is the remainder when 464004 is divided by 463986?
18
What is the remainder when 396129 is divided by 421?
389
Calculate the remainder when 238906 is divided by 39814.
22
What is the remainder when 6167650 is divided by 18247?
164
What is the remainder when 16157442 is div
|
{
"pile_set_name": "DM Mathematics"
}
|
- 26. Let m be (-2)/6 + (9 - 40/d). Solve -m*h - 3 = 1 for h.
-2
Suppose 3*i - 9 = 0, 11 = 4*c - 8*i + 5*i. Solve 24*t - c - 91 = 0 for t.
4
Suppose -242 = 2*v - l + 1312, -l - 1550 = 2*v. Let i = v + 786. Solve 12*p - 17*p - i = 0 for p.
-2
Let m = -13400 - -13400. Solve -26*g + 195 + 13 = m for g.
8
Let k(p) = p**3 - 6*p**2 - 3*p - 25. Let z be k(7). Suppose -8*d = -z*d - 3*v - 30, -4*d + v + 24 = 0. Solve t = 4*t + d for t.
-2
Let z be 47/2 - (-15)/10. Suppose l + 20 = -5*d, 2781 = 2*d + 2797. Solve 0 = -l*x + z*x + 5 for x.
-1
Suppose -v = t - 7, -5*v - 2*t = -0*t - 26. Let o(u) = 2 + v*u - 10*u - 6 - 11. Let m be o(-5). Solve m = l + 2*l for l.
5
Let q(a) = -55 - 53*a - 9 - 47*a + 66*a. Let r be q(-2). Solve 2 = 3*g - r for g.
2
Let a(k) = k + 12. Suppose 3*v + 21 = 4*c, 4*v - 4*c + 4 + 24 = 0. Let y be a(v). Suppose 0 = w, -3*z - y*w = -2*w. Solve z = 2*q + 4 - 0 for q.
-2
Let a be 9 + (-1)/(-4) + 13889/172. Solve 67*t + 69 = a*t for t.
3
Let d(u) = 22*u + 154. Let a = 841 + -848. Let b be d(a). Solve -2*i + 0*i = b for i.
0
Suppose 10*c - 712 = -472. Solve -19*h = -25*h - c for h.
-4
Let i(s) = -14*s + 230. Let r be i(16). Let p(c) = 2*c - 6. Let z be p(5). Suppose 0 = -3*m + 15, u + z*m = m + 15. Solve u = 3*x - r for x.
2
Let w be 5*4 - (18 - 16). Suppose 4*p - 44 = -g, -w*p + 16*p + g = -22. Solve 0 = 5*n - p + 1 for n.
2
Suppose -y = -3*y + 14. Suppose y*l = 3*l. Suppose 2*g + b = 8, g + 3*g - b = 4. Solve 0*m + m + g = l for m.
-2
Let p(z) = 24*z - 19. Let m be p(4). Suppose -29 + m = 8*o. Solve -o*r = -0*r + 18 for r.
-3
Suppose -2*p - 3*j = -55, -3*j - 48 - 57 = -3*p. Solve -p + 16 = 16*x for x.
-1
Suppose 4*g - 4 = 2*u + 20, 0 = 2*g + 5*u - 12. Suppose t + g*t = -t. Solve t = -4*n - 13 + 1 for n.
-3
Let p = 632 - 597. Solve 16 = p*l - 51*l for l.
-1
Suppose j + 508 = 514. Solve j*h + 20 = -14*h for h.
-1
Let y(u) = u**3 - 6*u**2 + 2. Let q be y(6). Suppose q*m + 5*r = 8 + 10, 10 = -2*m + 2*r. Let g = 4 + m. Solve -2*w + 20 = g*w for w.
4
Let w = 63 - 55. Let z(b) = b**3 - 9*b**2 - 8*b - 4. Let r be z(10). Solve 0*l - w*l = r for l.
-2
Let j be -8*(-2 + 2/(-4)). Suppose -2*v = -v - 88. Let d be (v/j + -5)*-5. Solve 0 = 5*m + d - 18 for m.
3
Let v(p) = -p**3 - 9*p**2 - 11*p + 1. Let q be v(-7). Let k be (-630)/q*(-2)/(-3). Suppose 7*h = -0 + k. Solve 0*a - 6 = -h*a for a.
2
Let r be (-92)/6*(2035/74 - 29). Solve -r*p + 7*p = 48 for p.
-3
Suppose 258 = -36*g + 39*g. Let q = g - 61. Let r be 1*(-5)/(q/(-10)). Solve r*d + 2 + 0 = 0 for d.
-1
Suppose 47*s = 64*s + 2499. Let l be 3 - -2*s/(-14). Solve l = 8*x - 2*x for x.
4
Suppose 605 = 11*b - 693. Solve -4*d - b = -98 for d.
-5
Let r be (-1)/(-102)*12 - 12/102. Solve r = -58*v + 159 + 73 for v.
4
Suppose 2*x + 5*x = 35. Suppose 2*a = x + 7. Solve s + a = -s for s.
-3
Let v(s) = -50*s - 78. Let f be v(-2). Let g be (88/176)/(1/f). Solve -11 = g*z - 33 for z.
2
Suppose -1 = a - 2*m + 6*m, m - 6 = a. Let s(t) = -2*t**2 - 11*t + 3. Let g be s(a). Suppose -4*f - 3*k = g, 2*k = -2*k - 16. Solve 19 = -5*v - f for v.
-4
Let o = 12172 - 12172. Solve 385*z - 390*z - 5 = o for z.
-1
Suppose 6*c = 105 + 123. Suppose -27*f - c = -92. Solve -f*t - t = 9 for t.
-3
Let h = -25 + 47. Let l = h + -19. Suppose f + 2 = l. Solve f - 3 = 2*p for p.
-1
Suppose 11*n - 15 = 16*n. Let f be (-7)/n - (10 - (-64)/(-6)). Solve -1 = -4*o + f*o for o.
1
Let u(s) = -s**3 - 13*s**2 - 20*s + 25. Let p be u(-11). Suppose -2*k = -37 - p. Solve -t = 4*t - k for t.
4
Let w(c) = -c**3 - 67*c**2 - 69*c - 190. Let p be w(-66). Solve -p*l = 54*l for l.
0
Let f be 6*(-15)/(-25) + (-7)/(-5). Solve -3*h - 20 = -f for h.
-5
Let l(q) = -q**3 + 8*q**2 + 32. Let x be l(8). Let m = -26 + x. Solve -7*z - m = -5*z for z.
-3
Let p be (56/98)/((-4)/(-602)). Solve 0 = p*h - 93*h - 21 for h.
-3
Let n(i) = i**2 - 9*i - 30. Let g be n(-13). Solve -t = -250 + g for t.
-6
Let n be (354/(-18))/((-5)/90). Solve 0 = -n*x + 351*x + 18 for x.
6
Let i be 6 + 3/4 + ((-2940)/(-112) - 26). Let o be (3 + (-57)/15)*-10. Solve -i*b + 3*b = -o for b.
2
Let w be ((-8)/(-24))/((-30)/252*16/(-920)). Solve 112*s + 147 = w*s for s.
3
Let g = 4 - -4. Let t be (-6)/(-4)*52/117 + (-7)/(-3). Solve f + t*f + g = 0 for f.
-2
Let j = 2301 + -2296. Solve -9*t + 20 = -j*t for t.
5
Let i = 9111 + -9096. Solve -163 + 148 = i*x for x.
-1
Let b(c) = -11*c + 135. Let u be b(12). Let a = 4 - -12. Suppose -u*n - n = -a. Solve -n = -x - 0 for x.
4
Let b be ((-48)/10)/((-2)/10). Suppose 42 = -5*y - 48. Let m be (b/y)/(-2 - (-5)/3). Solve -5*n + m = -3*n for n.
2
Let c(f) = f - 8. Let z(t) = t**2 - 12*t + 14. Let u be z(10). Let m(q) = 3*q - 24. Let s(v) = u*m(v) + 17*c(v). Let x be s(-3). Solve -2*r - 3 = -x for r.
4
Suppose 37*o + 18 = 3*r + 39*o, 2*o + 6 = -r. Solve r*n = 109*n + 679 for n.
-7
Suppose 4*d + 5*c = 48, 3*d - 935 = -2*c - 892. Solve -15*n - 8 = -d*n for n.
4
Let k be (0 + (4 - 1))*(-12 - -9). Let u be (k + 8)/((-3)/27). Solve -6*q = -3*q + u for q.
-3
Let m(c) = -c**3 + 10*c**2 - 12*c + 39. Let g be m(9). Solve 33*x + g*x = -135 for x.
-3
Let u(d) = -508*d - 1000. Let j be u(-2). Solve -j = -174*l + 190*l for l.
-1
Let p(x) = -x**3 + 61*x**2 + 60*x + 127. Let g be p(62). Solve -7*b - g*b = 6*b for b.
0
Suppose 5*v + 0*v - 15 = 0. Let w = -30793 + 30798. Solve -w = v*u - 2 for u.
-1
Let v(t) = -t**3 - t**2 - t + 4. Let b be v(0). Let k = -62 - -64. Suppose -3*a + 8 = -4*y - 9, 4 = -k*y. Solve -a*j + 2 = -b*j for j.
-2
Let a be (3 + -2)*-1*13. Let q = a + 13. Suppose 53*d - 54*d + 8 = q. Solve d*j - 4*j = 0 for j.
0
Let d(g) = -29*g**3 - 2*g**2 + 8*g + 21. Let o be d(-2). Let u = o + -229. Let q(i) = -i**2 - 8*i + 8. Let y be q(-7). Solve u*n - 3*n = -y for n.
5
Let z = -5609 + 5635. Solve 0 = 24*h + z + 70 for h.
-4
Suppose 2 = -5*x + 12. Suppose -4*s = 3*r - 11 - 20, -3*s + x*r + 36 = 0. Suppose 2*a - s = -k, -k + 2*a - 10 = 3*k. Solve 5*m = -k*m for m.
0
Let v be 12/(-9) + (-1 - (-50)/6). Suppose -v*i - 9 + 27 = 0. Suppose -2*u + i*u - 3*r + 6 = 0, 0 = r - 2. Solve 16 + u = -4*t for t.
-4
Suppose 8*x + 17*x = -747 + 822. Solve -x*r - 85 = 14*r for r.
-5
Let r be -2 + (-39)/(-15) + 792/55. Solve -r*d = 24 + 6 for d.
-2
Suppose 48*q - 44*q - 5*m - 435 = 0, -4*q - 4*m = -444. Solve 17*i + 246 = q for i.
-8
Suppose -21 = 13*z - 47. Let n(j) = -14*j + 35. Let h be n(z). Solve 19 - h = 3*f for f.
4
Let v(y) = -101*y + 3738. Let n be v(37). Solve n = 277*b - 278*b for b.
-1
Suppose -5*l - 5*i + 315 = 0, 4*i + 61 = 2*l - 65. Solve -l = -22*v - 85 for v.
-1
Let n(j) = -3 - 1 - j + 13*j**2 + j**3 - 6 + 3. Let c be n(-13). Let a be (1 - 14/12) + c/36. Solve -5*o = -a*o - 10 for o.
2
Suppose 2*w - 4*l - 2 = 2, 5*l + 5 = -4*w. Suppose -x = -2*o - 3*x + 406, -4*o + 857 = -5*x. Let t = o + -206. Solve 0 = -w*d - d - t for d.
-2
Suppose -2*u - 5*u + 35 = 0. Let i = u - 4. Let z be (-8 + 6)/(4/(-10)). Solve -z = 2*k + i for k.
-3
Let f = -6 - -40. Let x = 271 - 234. Suppose 0 = c + f - x. Solve 5 + c = 4*k for k.
2
Let s be (-10)/4*(-4)/2. Suppose -m = 5*x - 40, 0 = 6*m - 5*m. Solve 0 = -s*k + k - x for k.
-2
Let o = -68 + 129. Let s = o + -57. Let y(x) = x**3 - 9*x**2 - 11*x + 12. Let q be y(10). Solve 2*k + q = s for k.
1
Let a(r) = -18*r + 9. Let z be a(-1). Suppose o + 8*o = -z. Let b(l) = l**2 + 6*l + 17. Let c be b(o). Solve c = 4*d - 8 for d.
4
Suppose 2*g = 2*n - 430, -3*n = -5*g + g - 858. Let d = 217 + g. Solve 0 = -0*w - d*w - 12 for w.
-3
Let p be (210/(-60))/((-6)/24). Solve 21*g + p*g + 105 = 0 for g.
-3
Let g = -325 - -315. Let t(v) = v**2 + 15*v + 55. Let w be t(g). Solve -4*y = -w - 3 for y.
2
Let j = 59495 - 59493. Let x(n) = n**2 + 4*n + 3. Let y be x(-4). Solve -y*s = -j*s + 5 for s.
-5
Let a(x) = 2*x**3 - 10*x**2 - 16*x + 8. Let h be a(8). Let v be (h/24)/(1 + 0). Solve 13*g = v*g - 10 for g.
-5
Suppose q + 1 = -l, -q - 9 = -5*l - 26. Suppose -3*z = -4*n + 2 + 6, 0 = q*n - z - 6. Solve 0 = n*a - 32 + 12 for a.
4
Let y be (1 - 0) + (-25)/(-450)*18. Let l(g) = -2*g - 8. Let i be l(-9). Suppose o + 2*n = -4*o + i, -4*n = -20. Solve y*f - 7*f - 10 = o for f.
-2
Suppose -2*k - 5*s = -32, 3*s + 12 = 34*k - 30*k. Let x be 3*(-1)/k*(1 + -1). Solve x*j = j for j.
0
Let q(c) = 2*c**3 - 18*c**2 + 26*c + 35. Let m be q(7). Solve 10 = -m*x + 19*x for x.
-5
Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
or h.
-1
Let s(p) = p**2 - 7*p + 6. Let d be s(6). Let v be ((-8)/6)/((-6)/18). Solve -2*f + 2 = -2*h, h + d*h = v for f.
5
Suppose 23*b + 248 - 616 = 0. Solve -2*v + 0 = 5*u - b, -5*v = 5*u - 10 for v.
-2
Suppose 14*v - 4*v - 540 = 0. Suppose v = 5*y - 121. Solve -y = 5*x - 5*r, x - 11 = 4*r - 27 for x.
-4
Suppose 0 = -33*k + 94 + 71. Solve w + 13 = k*t, -5*t + 11 = -2*w - 0*w for t.
3
Let o = -1617 - -1621. Solve -6*i + 4*i + o = 5*w, -2*i + 4 = -5*w for i.
2
Let q be -3 + -2 + 6/2. Let j be (1/q)/(16/(-128)). Solve j = -2*x - l - l, -4*l = -8 for x.
-4
Suppose 0 = 4*h - 5*d - 61, -2*d + 3*d = 4*h - 73. Let v = -39 + 44. Suppose v*g - 151 = -4*l, -4 = -0*l - l. Solve -x + 4*x = 2*m + h, m = 5*x - g for m.
-2
Let x(y) = -y**2 + 8*y + 1. Let d be x(11). Let q = d - -60. Solve s - 19 = 4*a, -3*s + 0*a - q = 5*a for s.
-1
Let h(p) = 4*p**2 + 39*p - 6. Let v be h(-10). Solve 2*z + 22 = v*m, 2*m + 3*m - 35 = 5*z for m.
4
Let w(b) = 13*b + 16. Let q(f) = -3*f - 4. Let r(m) = -9*q(m) - 2*w(m). Let t be r(0). Solve -4*z - t*l - 1 = -5, 3*z - 9 = -l for z.
4
Let l be 4/(4/31) + -3. Let o = -27 + l. Let q be 54/10 - 4/10. Solve -5*c - 9 = -r + o, 3*c = q*r - 6 for r.
0
Suppose 0 = 12*u - 2*u. Solve 0 = -4*j + 4*s - 5*s - 8, u = -5*j + s - 1 for j.
-1
Suppose -3*a - 173 = -212. Solve 4*m = h - a, -2*m + 6*m = 2*h - 14 for m.
-3
Let d(i) = -i**2 - 157*i + 2396. Let y be d(14). Let p(o) = -o**3 + 6*o**2 - 5*o - 3. Let z be p(4). Solve 3*c + z = 0, y*v + 0*v - 15 = 3*c for v.
3
Let u(p) = -p**2 + 2*p + 84. Let g be u(10). Solve q - 5*t = -g*q - 25, 3*q = t - 5 for q.
0
Let t = -1 + 1. Let p(n) be the third derivative of -n**5/60 + 3*n**4/8 - 17*n**3/6 - 5*n**2. Let d be p(5). Solve -4*w + t*w - 5*q = -1, 3*q + 21 = d*w for w.
4
Let c = -6 - -7. Let h(i) = -2*i**2 + 2*i - 4*i**3 + 4*i**3 - c - 5*i**3 + 4*i**3. Let d be h(-3). Solve 0 = d*u - z + 7 - 3, 4*z = -u + 7 for u.
-1
Suppose 0 = -0*g + 11*g - 22. Suppose b - 4*y + 15 = 0, -b - 5*y + 40 = g*b. Solve -4*m + 3*m = -b*q - 15, 3*m - q = 17 for m.
5
Let c = -4 - -6. Suppose 2*u + 2*u = 24. Suppose 2*s - u = -i, -5*s + 4*i - i + 4 = 0. Solve 0 = -y - s, -2*y + c = 4*f - 3*y for f.
0
Let w be -1 + (9 - 29)/(-5). Solve 3*i + 2*l + w = 0, -3*i + i - 3*l - 7 = 0 for i.
1
Let b be 21 - (3 + (0 - 5) + 3). Let a = b + -15. Solve s = -5*z + 1 - 13, -2*s = a*z + 9 for z.
-3
Let u = 261 - 259. Solve -3*x - 2*o + u + 4 = 0, 5*x - 8 = -4*o for x.
4
Suppose 132 = 14*l + 6. Solve -2*f = 6, 5*s - f = 2*s + l for s.
2
Let s(u) = u + 1. Let z be s(9). Let a be z/3*12/10. Solve 4*d - 3*j + 6 = -8*j, 4*d + 4*j = -a for d.
1
Suppose 5*i + 78 = b, -44 = 3*i + 2*b - 5. Let o be 2 - 25/i*3. Suppose -2*s = -6, d = -0*d - 5*s + 18. Solve d*w + 2*m = 5*m + 12, 2*w + m = -o for w.
-1
Let u(f) = -4*f**2 - 9*f - 12. Let i be u(-4). Let n be (3 - 12/8)*i/(-12). Let b = 11 - 8. Solve -c = -4*w + 8, -b - 1 = -2*w + n*c for w.
2
Let d(v) = 2*v - 10. Let l be d(9). Suppose -l*b + 27 = b. Solve 0 = 2*k - 3*r + 10, -2*r + b*r = 3*k + 15 for k.
-5
Suppose 5*d - 11 = -o, 22*o - 26*o + 21 = -3*d. Let r be 30/9 + (-4)/(-6). Solve -p - 10 = -r*n, n - o = p - 5 for n.
3
Let d = 5 + -3. Suppose -3*g - 3 = -d*g. Let f be 4/(3/(g/(-1))). Solve -3*i + 3*s = 2*i + 22, -f*s = -16 for i.
-2
Let s(n) = -17*n**2 - 3*n - 1. Let h(f) = 8*f**2 + 2*f. Let d(o) = 13*h(o) + 6*s(o). Let r be d(-5). Solve 3*y - 16 = -5*x, r*x - 2*y = 2*y for x.
2
Let h be 3*(-2 - -3)*11. Let p(j) = 80*j - 240. Let z be p(3). Solve -5*a + 2*d = h, a + 5*d - 5 - 10 = z for a.
-5
Let h be (-108)/378 - ((-30)/7)/1. Solve u = 3*p, -h - 6 = 5*p - 5*u for p.
1
Let u be (-3 - 8/(-3))*18. Let t = u + 6. Solve 0 = -5*g + 4*a - 2, -a + 3 = -t*a for g.
2
Suppose 0 = -u - 4*p + 9, u + 3*p - 2*p = 18. Let z = u + -19. Solve -4 = -z*f, b - 2*b - 3*f = -7 for b.
1
Let o = 57 - 77. Let q = 24 + o. Suppose m = -y + 7, 3*m - 2*m - 4 = 0. Solve -y*d - 12 = a, 0 = q*a - 0*a - 4*d for a.
-3
Suppose 2*j + 12 = 24. Suppose j*o - 31 = -7. Solve -h = -o*n - 2*h + 3, -2*n - 3*h - 11 = 0 for n.
2
Let p(b) = b**2 + 19*b + 18. Let z be p(-18). Let d be 4 - -1 - z/13. Solve 3*k = -d*o - 3, 19 = -o - 2*k + 6*k for o.
-3
Suppose -r - 3*s + 26 = 0, -r + 0*s + 20 = -3*s. Let n = r + -18. Suppose n*y = -3*i - 10, -10 = -i + 7*y - 2*y. Solve 0 = m, i = 3*z + 5*m + 6 + 6 for z.
-4
Let j be 2/(-3)*(0 - 6/2). Suppose -2*m + 20 = j*m. Suppose 0 = t + 2*d - 0*d + 3, 2*t = -d + 6. Solve -4*p + p - 3*b = -3, p - m*b = -t for p.
0
Let k(l) = -3*l**2 + 10*l + 11. Let a(r) = 13*r**2 - 41*r - 45. Let f(z) = -2*a(z) - 9*k(z). Let g be f(9). Solve 4*p + 2*d - 8 = g, 3*p + 3 = 3*d - 9 for p.
0
Let f = 92 - 87. Suppose 0 = -4*x + 10*r - 5*r + 28, 3*r + 2 = -f*x. Solve k - 7 = -5*u + 18, 5*k - x*u + 10 = 0 for k.
0
Suppose -3*f + 26 = -r + 5*r, 0 = 3*f - r - 1. Solve -12 = -2*k - 4, 5*w - f*k = -8 for w.
0
Let h(o) = 2*o**3 - 12*o**2 - o + 8. Let n be h(6). Solve s - n*s = t, 3*t = 2*s - 5 for s.
1
Let l be 8 + -3 + 3 + 0. Let m(p) = -p**2 + 4*p - 1. Let y be m(1). Solve -y*x = 2*n + n, -l = -2*x + n for x.
3
Suppose -38 + 154 = 2*a. Let z = a + -43. Solve -3*k - x + 8 = 0, 5*x = 3*k + z + 7 for k.
1
Suppose -3*u + 2 = -5*u. Suppose 0*x + 2*x = 6. Let n = x + u. Solve 3*w + c + n = 0, 4*c + 21 = w - 0*w for w.
1
Suppose 7*d - 4 = 5*d. Suppose -3*t = -2*x - 4, -4*t = -0*t + 4*x - 12. Solve w = 2*l - 6, -d*l = -3*w - 2*w + t for l.
4
Let q(x) be the second derivative of 0 + 2*x**2 - 11*x + 1/20*x**5 + 1/6*x**3 + 1/12*x**4. Let w be q(0). Solve 0 = 4*u - w*c - 1 - 11, 3*u + c = -11 for u.
-2
Let i(l) = l**3 + 3*l**2 - 2*l - 3. Let h be i(-2). Solve h*a = 4*m + m + 5, -a + 1 = -5*m for m.
0
Let u = -1173 - -1176. Solve -2*s - 3*y + 1 = -6*y, 4*s + u*y = 29 for s.
5
Suppose -2 = -184*u + 183*u. Solve g = u*a, -3*g + 2*g = -a + 1 for g.
-2
Let p be 3 + -7 + -1 + 51. Suppose 0 = 2*i - 5*i + 2*m + p, -5*m + 37 = 2*i. Let c be (-1)/(-2*4/i). Solve 0 = -c*d + 4*r + 2, d + r - 1 - 6 = 0 for d.
5
Let x(m) = m**3 - 8*m**2 - 8*m - 7. Let z be x(9). Suppose 5 = z*d - 1. Solve -1 - 4 = d*q - 2*r, 2*r = 5*q + 11 for q.
-3
Let z(j) = -j + 28. Let o be z(13). Let r = o - -11. Let b(g) = g**3 + 10*g**2 + 9*g + 8. Let u be b(-9). Solve 2*q + r = -4*s + u, 4*s = -q - 15 for s.
-3
Let t(y) = 5*y + 32. Let p be t(-6). Let g be -1*p*(1 + -2). Suppose 4*w - 12 = 0, 0*w + 9 = c + 3*w. Solve -5*k - 6 = -g*n + 22, c = k + 5*n - 16 for k.
-4
Let g = 90 - -10. Let r = g + -97. Solve -12 = 5*h + 2*t, -2*t + r = -5*t for h.
-2
Suppose -11*n + 8 = -3. Solve -3*o = 4*j + 3, -4*j = -o + 2*o + n for j.
0
Let t = -796 + 800. Solve -t*b = -2*h - 14, 2*b + 10*h - 14*h = 22 for b.
1
Suppose 6*o = 2311 - 2299. Solve -n = 8*r - 5*r + 6, -5*r + o*n + 1 = 0 for r.
-1
Let o = 139 - 102. Suppose 5*b - 47 = -o. Solve 0*j - 4*j - 2*g - 14 = 0, -b = 2*j - 4*g for j.
-3
Let x = 7 - 3. Suppose -s - x*s + 20 = 0. Solve -5*c - 3 = -u, 5*u + s*c + 7 = -7 for u.
-2
Let a(t) = t + 13. Let y be a(-4). Suppose -y*c + 6*c = 0. Solve 6 = -c*q + 2*q, -4*m - 5 = q for m.
-2
Let t = 4 + 0. Suppose -t*s + 1 = -7. Solve 5*f + s = 4*j - 2, -4*f + 2 = 2*j for f.
0
Let l = -5 - -8. Suppose z - l*z + 10 = 0. Let q = 16 - 14. Solve 4*u - 7 = -z*d, -14 = d - 5*u + q for d.
-1
Let i = -10 + 12. Suppose -2*y = -2*w - 3*w - 41, -3*w + 69 = 4*y. Solve i*r = -3*h - 0 - 1, 3*r + y = h for h.
3
Let r = 10 + -10. Suppose 6 = w + 3*g - r, -3*w + 18 = 3*g. Suppose 3*p - w = 3. Solve -5*f - 20 = 0, 4*f + 36 = -u - p*u for u.
-5
Let t be (5 - -2*1) + (-28 - -21). Solve t = n + q - 2, -7*n + 2*q - 16 = -12*n for n.
4
Let d(m) = m**3 - 8*m**2 - 9*m + 2. Let q = -10 + 19. Let r be d(q). Suppose k + 0*a - 15 = -r*a, a = 2. Solve -4*v + u + k = 2, 2*u - 2 = -2*v for v.
2
Let g(x) = -2*x - 7. Let u be g(-6). Suppose 3*o + 39 = -3*c, 0 = -u*o - c - 3*c - 67. Let d = o - -17. Solve -q + 5 = 4*y + 3, q = -3*y + d for q.
2
Let y(w) = -w**2 + 7*w - 12. Let d be y(6). Let k be d/(-33) + (-60)/(-33). Let x be 1*(-1 + -1) + 4. Solve -k*j + l = -9, -x*j - 2 = -2*l - 12 for j.
4
Let a(p) = 2*p**2 - 4*p + 3. Let g be a(2). Let n = -299 + 305. Suppose 2*k + 8 = -3*r, 0 = -k + 2*k + 4. Solve 4*c + 3 = -d, -3*d + r*d = -g*c - n for d.
1
Let d be (-100)/(-36) + 16/72. Solve d*r - r = 2*v - 12, r = 4*v - 21 for v.
5
Let d be 3 - (4
|
{
"pile_set_name": "DM Mathematics"
}
|
u + 128. What is the nearest to 29 in u, -0.4, -3, -4?
u
Let h be (-2 + 5)*(-4)/(-54). Let w = -497 + 518. Let l = -23 + w. Which is the nearest to 0? (a) 0.1 (b) l (c) h
a
Let m be (-9 - 63/(-12))*4/(-3). Which is the closest to 1? (a) m (b) 1/11 (c) -16
b
Let f = 1002.6 - 1003. Suppose 0 = 2*z - 4*z + 14. Let s = 11 - z. Which is the nearest to f? (a) -0.5 (b) 2 (c) s
a
Let o = -47.67 + 45.67. Which is the nearest to 1? (a) -11/2 (b) -0.1 (c) 5 (d) o
b
Let f = 2940.7 - 2939.7. Let p = -3 - -0.6. Let y = -0.6 + p. Which is the closest to f? (a) 0.09 (b) 0 (c) y
a
Let w = 25 + -34. Let t = 3331 + -3325. Which is the nearest to t? (a) -1 (b) -3/2 (c) w (d) 1
d
Let g be (48/(-9))/16*((-2)/2 + -1). What is the closest to -1 in 1571, g, 5?
g
Let m = 85 - 143. Let j = -44 - m. Let h = j - 15. What is the closest to h in 0.5, -5, 6?
0.5
Let i be (-28)/(-70)*(-10)/(-2). Let n be 153/(-324) + i/8. Which is the closest to -2/7? (a) n (b) -10/3 (c) -0.2
a
Let i = 54 - 61. Let o(y) = y**3 + 8*y**2 + 3*y - 16. Let z be o(i). Let k be (2/(-5))/(z/(-18)). Which is the nearest to 0.2? (a) 5 (b) -11 (c) k
c
Let x be (-22 - -21)*((-14)/(-18) + (-8)/(-36)). Which is the closest to 2/3? (a) 7 (b) x (c) -15
b
Let j(x) = -x**3 - 19*x**2 + 21*x + 25. Let q be j(-20). Let l be ((-2)/q)/((-20)/(-25)). What is the closest to l in 4, 1/3, 0.4?
1/3
Let j = -259 - -458. Let t = 4575/23 - j. Which is the closest to 1/2? (a) 2 (b) t (c) -3
b
Let q = 62.73 + -63.13. What is the closest to 10/7 in 13, q, -0.2?
-0.2
Let w = 6884 - 6884.8. What is the closest to w in -0.8, -5, 0?
-0.8
Let z = -2134.4 + 2134. Which is the nearest to -1/5? (a) z (b) 2/15 (c) -1/6 (d) -2
c
Let f = -185.489 + 185. Let q = f + 0.289. What is the nearest to q in -1, -4, -5?
-1
Let b = -1/1915 + 1921/11490. What is the closest to -2 in 2/11, 96, 5, b?
b
Suppose 0 = 12*s - 63 - 134 + 137. What is the closest to 38 in -3/4, s, 3, -2/7?
s
Let j be 522/(-145)*5/33. What is the nearest to -1 in -1/2, j, 5, -3?
j
Let q be (0 + 16)/2*6/12. Suppose 30 = 3*s - q*s. Let z = -29 - s. Which is the nearest to 5? (a) z (b) -0.2 (c) -1/2
a
Let g = 1.29 - 4.29. Suppose 0 = 3*h + 2*n + 9, 5*n + 13 = 13*h - 11*h. Which is the nearest to h? (a) g (b) 0.2 (c) 1/10
c
Let q = -1/26 - 73/130. Let l(n) = n**3 + 9*n**2 - n - 6. Let o be l(-9). Let j = -12629 - -12634. Which is the nearest to q? (a) j (b) o (c) 2
c
Let t be (2 - 2) + 3/2. Let f = 6158 - 6146. What is the nearest to 0 in t, f, -4?
t
Let g be -1*1*3/9. Let r = -0.239 + 108.739. Let d = 109 - r. What is the nearest to g in d, -0.3, 0.3?
-0.3
Let t = -2 - -4. Suppose -4*r = n, -4*r - 9*n + 5*n = 12. Which is the closest to -0.19? (a) -3 (b) r (c) -2 (d) t
b
Let u = -158.9 - -159. Let z = 0.29 - 0.49. Which is the nearest to u? (a) 0 (b) 4 (c) z
a
Let i be 0/1 - 6/(-9). Suppose -636 - 492 = 20*v - 988. Which is the nearest to -16? (a) -0.5 (b) i (c) v
c
Let u = -3.5233 - 0.4767. Which is the closest to -1? (a) 31 (b) u (c) 1/2 (d) -1
d
Let g = -9327/19 - -491. Let q = -379 - -223. Let r = q - -779/5. Which is the closest to 1/3? (a) -3/5 (b) r (c) g
c
Let w = 275.065 + -276. Let v = w + 0.035. Let m be (-42)/30 + 1 - 6/(-15). Which is the closest to -1? (a) m (b) v (c) 2/11
b
Let j be ((-7590)/(-88))/(-69) + 1. Let t be (9/(-6))/((-6)/(-8)). What is the nearest to 0 in 1, -5, t, j?
j
Let v = -3566 - -10699/3. Suppose -3*k = -8*k. Let f = -1.053 + 0.053. Which is the closest to k? (a) -3/7 (b) f (c) v
c
Let s = -4.14 + 4.24. Let t be ((-3)/(-44))/((-6)/(-24)). What is the nearest to s in 1, -3, t?
t
Let x = -2.42 + 190.42. Let t = x + -187.88. Let n = 2.9 + -3. What is the closest to n in -2, -1, t?
t
Let p = 5.02 + -3.02. Which is the closest to p? (a) -0.06 (b) -0.01 (c) 0.3
c
Let t(p) be the third derivative of p**6/120 - p**5/60 + p**3/6 + 3*p**2. Let m be t(2). What is the nearest to 1/3 in m, 6/11, 4?
6/11
Let h be 2/1 - (-1)/(-2). Let t = 15333 - 15332. Which is the nearest to t? (a) 0.3 (b) -2/9 (c) h
c
Suppose -88 + 236 = -2*h. Let x be h/26 + (1 - -2). Suppose -9 = -3*d, 8*d - 25 = -4*q + 5*d. What is the nearest to -0.1 in q, -2/7, x?
-2/7
Let h(q) = -55*q - 310. Let i be h(-15). Let z = i - 1543/3. Let l = 5.02 + -0.02. Which is the nearest to z? (a) l (b) 4 (c) 0.1
c
Let j = -1062 - -1063. What is the nearest to 2/3 in -1, j, -278, -5/2?
j
Suppose 3*m - 62 = 5*x, 3*x - 2*m = -3*m - 26. Let k be 9/((-45)/x + -3). Let z be (-20)/k + 0 + 3. Which is the closest to 1? (a) -4 (b) z (c) -1
b
Let l = -81 - -80.911. Let n = 0.027 + -0.038. Let t = n + l. Which is the nearest to -1? (a) 1 (b) -9 (c) t
c
Let b = -95311/6 - -15885. What is the closest to -9 in 3, 0.5, b, 0?
b
Let q be 90/108 + (-25)/30. Which is the closest to 2/13? (a) 1/3 (b) -0.04 (c) q (d) 0.4
c
Let m = -11091.7 + 11092. Which is the nearest to 1? (a) m (b) -5 (c) -1 (d) -3/160
a
Let s = 9000 + -9000.0583. Which is the nearest to -1? (a) 2 (b) 5 (c) s
c
Let k = 1.5 + 4.1. Let b = 5.7 - k. Let s = b - -2.9. What is the closest to -0.1 in s, 0.5, -0.3?
-0.3
Let m be -6 - (-1 - -2)*0. Let l(v) = 7*v**2 - 1063*v + 902. Let q be l(151). Which is the nearest to 1? (a) q (b) m (c) 2 (d) 2/5
d
Let u = -2679 + 2679. What is the closest to 3 in 2, -7, -11, u?
2
Let g = -197 - -413. Let r = g + -216.91. Let h = r + -1.09. Which is the nearest to 2/7? (a) 0.5 (b) -5 (c) h
a
Let q = 0.25 - -0.05. Let y = -5522 - -5516. Which is the nearest to q? (a) -2 (b) -5/6 (c) y
b
Let x = 0.14931 - -8.85069. Which is the nearest to -1? (a) -16/3 (b) x (c) -0.02
c
Let k = -112 + 198. Let j = -85.9 + k. Let w = 0.3 + -0.4. What is the nearest to -1 in w, j, -1?
-1
Let y = 0.04 - -1.46. Let j be (-29)/(-65) + 18/(-30). Which is the closest to -1? (a) y (b) j (c) 0.5
b
Let f = 0.42 - -1.01. Let r = 1.57 + f. Which is the closest to -1? (a) r (b) 0.5 (c) -3
b
Let h = -1.4 - -1.5. Let r = 9.454 - 0.054. Let o = r + -4.4. Which is the nearest to -0.1? (a) h (b) o (c) 3/2
a
Let q be (4/6 - 1/(-18)) + (-1033)/2066. Which is the nearest to 0.1? (a) -0.1 (b) 97 (c) -3 (d) q
d
Let i = -39 + 59. Let u = i + -22. Let g = -15.4 - -18.4. What is the closest to 2 in 5, g, u?
g
Let k be 4/(-28 - -15 - -3). Which is the nearest to 121? (a) 2 (b) k (c) -2/3 (d) -3/8
a
Let i = 0.0242 - -0.5698. Let y = -0.494 + i. Which is the nearest to y? (a) -3/4 (b) 1 (c) 0.3 (d) 0.01
d
Let l = 0.9462 + 1.0538. Which is the closest to -2/5? (a) -0.1 (b) 0.09 (c) l (d) 0.5
a
Let n = 6.7 + -30.9. Let p = n - 0.8. Let r = p + 26. Which is the nearest to r? (a) -3/11 (b) -1/3 (c) 0.5
c
Let v = -0.58124 + -0.11876. Which is the nearest to 1/2? (a) 4 (b) -7 (c) 0 (d) v
c
Let j = 224 + -174.6. Let t = 1949 - 1900. Let c = j - t. What is the nearest to 4 in 3, 0.2, c?
3
Let f = 69.31 + -68.31. Let h(j) = j - 3. Let z be h(-3). Let o be (6/(-20))/(z/8). Which is the closest to f? (a) 1/6 (b) -3 (c) o
c
Suppose 0 = 6*q - 2*q - j + 18, q + 4*j + 13 = 0. What is the closest to 2/9 in q, -0.8, 1, 2/3?
2/3
Let k = -79 + 131.8. Let y = 53 - k. Which is the nearest to 2/5? (a) -0.06 (b) y (c) -2/5
b
Suppose 112311 - 28401 = -5*t. Let i = -184831/11 - t. Let z = -21 - i. What is the closest to z in 0, -2/3, -4?
0
Let g = -14337 - -14344. What is the closest to g in -3, 3/2, 6?
6
Let r = -4342.3 - -4342. Which is the closest to 0.2? (a) 0 (b) -2/25 (c) r (d) -2/7
a
Let i = -527.9 - -528.13. What is the closest to 0.1 in -7, 0, i, 1?
0
Let z = -1348 - -9434/7. Which is the closest to z? (a) -1 (b) -5 (c) 0.2 (d) 3
c
Let t = 561 - 351. Let r = t + -213. Which is the nearest to 0.5? (a) 1/3 (b) -1/6 (c) r
a
Let v = -5.2 + 5. Let n be (3/(-9))/(-1)*(14 + 600/(-45)). Which is the nearest to 0.1? (a) v (b) n (c) 9/23 (d) 2
b
Let w = -8698 - -8693. What is the nearest to -1 in 0.3, w, 1/4?
1/4
Let t be 1*((-2)/(-1*2) + 61/(-122)). Which is the closest to 2/7? (a) t (b) -3/4 (c) 0
a
Let u = -124/3 - -41. Let i = -0.518651 + -3.481349. What is the nearest to 0 in u, i, 21/2, 0.4?
u
Let j(y) = 721*y - 1440. Let r be j(2). Which is the closest to 2? (a) -2 (b) 0 (c) r (d) 0.4
c
Let t = 108 - 107.9. Which is th
|
{
"pile_set_name": "DM Mathematics"
}
|
33))/sqrt(7))**2.
30*sqrt(19) + 4276
Simplify (sqrt(20)/(-3*sqrt(10)) - ((-2 + sqrt(2) + sqrt(2))*6)**2) + -5.
-437 + 863*sqrt(2)/3
Simplify (sqrt(300)*3 + -3*sqrt(300))**2.
0
Simplify -2 + -3*(sqrt(44)/sqrt(4))**2*4.
-134
Simplify (2 + sqrt(684) + (sqrt(684) - (sqrt(684) + 0)))**2 - sqrt(684).
18*sqrt(19) + 688
Simplify sqrt(24)/(sqrt(392)*-3)*-6.
2*sqrt(3)/7
Simplify 2 + sqrt(612) + 3*sqrt(136)/sqrt(8).
2 + 9*sqrt(17)
Simplify (sqrt(50) + (-3*-1*sqrt(50) - sqrt(50)))/(-2*sqrt(10)*-6).
sqrt(5)/4
Simplify (2 + sqrt(5))*5 + 0.
10 + 5*sqrt(5)
Simplify ((sqrt(204) + 6*(-2*sqrt(204) - sqrt(204) - sqrt(204)))/sqrt(12))**2.
8993
Simplify ((4*sqrt(832))/sqrt(4))**2.
3328
Simplify ((sqrt(420)/(sqrt(7)*3))/(-1*sqrt(108)))**2.
5/81
Simplify (sqrt(18) - (-1*sqrt(450) + sqrt(18) - sqrt(18)))/(sqrt(72)/sqrt(2)).
3*sqrt(2)
Simplify ((sqrt(136)/(sqrt(32)/sqrt(4)) - sqrt(17)) + sqrt(51)/(sqrt(27) - sqrt(3)))**2.
17/4
Simplify (sqrt(27) + 3 + sqrt(3) - (1 + sqrt(108) + sqrt(108)))**2.
-32*sqrt(3) + 196
Simplify -6*((sqrt(108)*-1)**2 + sqrt(108)).
-648 - 36*sqrt(3)
Simplify 0 + (sqrt(1700) + ((1 + sqrt(1700))**2 - sqrt(1700)) + -2)*-2.
-3398 - 40*sqrt(17)
Simplify (sqrt(275) - (((2 + sqrt(275))*-5)**2 + sqrt(275) - sqrt(275))) + sqrt(275) + 5*(sqrt(275) + 2).
-6965 - 465*sqrt(11)
Simplify (sqrt(30)/sqrt(6)*1 - sqrt(5)) + 2.
2
Simplify (sqrt(21)/(sqrt(42)/sqrt(6)) + sqrt(144)/sqrt(12))**2.
27
Simplify (-5*sqrt(176)/sqrt(4))/(sqrt(4) + (sqrt(4) - ((sqrt(72)/sqrt(2) + sqrt(36))/sqrt(9) + sqrt(4)))).
5*sqrt(11)
Simplify -3 + (((sqrt(405) + 0)*1 + sqrt(405))**2 - sqrt(405)).
-9*sqrt(5) + 1617
Simplify 4 + (sqrt(88)/(sqrt(24)/sqrt(3)))**2.
15
Simplify -2*(-3 + sqrt(7)*2) + 4.
-4*sqrt(7) + 10
Simplify -1*3*(sqrt(45))**2.
-135
Simplify -4 + -1 + sqrt(171) + -4 + 2.
-7 + 3*sqrt(19)
Simplify 0 + ((sqrt(39)/sqrt(3)*-4 - sqrt(13))*1)**2.
325
Simplify (sqrt(84)*-1)/sqrt(12)*3.
-3*sqrt(7)
Simplify -2 + sqrt(300) + -1.
-3 + 10*sqrt(3)
Simplify -2*sqrt(704) + -4 + sqrt(704) + 2*(0 + sqrt(704)).
-4 + 8*sqrt(11)
Simplify sqrt(78)/(-3*(sqrt(6) + sqrt(12)/sqrt(2))).
-sqrt(13)/6
Simplify 2*(sqrt(432) + -1*sqrt(432) + (-1*sqrt(24))/sqrt(8))**2.
6
Simplify sqrt(55)/((sqrt(500) - sqrt(500)*-2) + sqrt(500) + sqrt(5)).
sqrt(11)/41
Simplify sqrt(475) + (sqrt(475) + 2)**2 + sqrt(475) + 3.
30*sqrt(19) + 482
Simplify (2 + sqrt(192) + 4 + sqrt(192) + -1)**2.
160*sqrt(3) + 793
Simplify (-3 + sqrt(1539)*2)**2.
-108*sqrt(19) + 6165
Simplify (sqrt(4032)*-3)/sqrt(4).
-36*sqrt(7)
Simplify -1*(0 + sqrt(2736))**2.
-2736
Simplify sqrt(22)/((sqrt(2) - sqrt(32)*-3) + sqrt(2)) + -4 + -3.
-7 + sqrt(11)/14
Simplify (1*sqrt(1872)*2)**2*3.
22464
Simplify -3 + sqrt(20) - (4*(1 + sqrt(5)))**2.
-99 - 30*sqrt(5)
Simplify 2 + sqrt(19) + -3 + 6*(sqrt(19) + -1).
-7 + 7*sqrt(19)
Simplify sqrt(272) + -1 + (sqrt(187) - (-1*sqrt(187) + sqrt(187)))/sqrt(11).
-1 + 5*sqrt(17)
Simplify (sqrt(288)*-2 - sqrt(288))/(sqrt(18)/sqrt(32))*6.
-288*sqrt(2)
Simplify (sqrt(720) - (0 + sqrt(720)))**2 - (sqrt(35)/sqrt(7)*1)**2.
-5
Simplify (4*(0 + -1*sqrt(396) + 1))**2.
-192*sqrt(11) + 6352
Simplify -4 + (sqrt(104)/sqrt(32) - (-5 + sqrt(52) + sqrt(13)))**2.
-25*sqrt(13) + 409/4
Simplify sqrt(25)/(sqrt(500) - (2*sqrt(500) + sqrt(500)))*-1.
sqrt(5)/20
Simplify (-2*sqrt(76)*5)/(2*sqrt(4)*1).
-5*sqrt(19)
Simplify sqrt(190)/((sqrt(100)*1)/sqrt(10)).
sqrt(19)
Simplify -4*(0 + (-1 + sqrt(1584) + sqrt(1584))**2 + 4).
-25364 + 192*sqrt(11)
Simplify 5*(-2 + ((sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77)*-2 + sqrt(77)) - sqrt(77))))/sqrt(11))**2)*2.
50
Simplify (sqrt(3)*2 + -5)*2.
-10 + 4*sqrt(3)
Simplify -2*sqrt(1458)*-1.
54*sqrt(2)
Simplify 0 + -4 + (sqrt(13) + sqrt(117)/(sqrt(18)/sqrt(2)))**2.
48
Simplify 2*(sqrt(125) + 3).
6 + 10*sqrt(5)
Simplify 2*(sqrt(143)/(sqrt(11)*1) - (4 + sqrt(13)*2)).
-8 - 2*sqrt(13)
Simplify (sqrt(300)/(sqrt(25)/sqrt(5)))/sqrt(12).
sqrt(5)
Simplify (sqrt(7) - sqrt(28)) + 3 + -4.
-sqrt(7) - 1
Simplify sqrt(847) + -2 + sqrt(847) + (sqrt(7) - (-3 + sqrt(21)/sqrt(3)) - sqrt(7)).
1 + 21*sqrt(7)
Simplify (sqrt(15)/(sqrt(5)*1*-3))**2.
1/3
Simplify (sqrt(42)*2)/sqrt(6) + -2 + sqrt(175).
-2 + 7*sqrt(7)
Simplify ((sqrt(68) + 2)*-1 + sqrt(68))*1.
-2
Simplify -2*sqrt(1331)*-3 + 5.
5 + 66*sqrt(11)
Simplify sqrt(448)*2 - 5*sqrt(7)*-1.
21*sqrt(7)
Simplify ((-4*(sqrt(171)*-5 + sqrt(171) + sqrt(171)))/sqrt(9))**2.
2736
Simplify 4*(1 + sqrt(45)).
4 + 12*sqrt(5)
Simplify (sqrt(4)/(sqrt(2)*1))**2 + (sqrt(2) - (-2 + sqrt(288) - sqrt(2))).
-10*sqrt(2) + 4
Simplify -3*sqrt(45) + 2.
-9*sqrt(5) + 2
Simplify ((sqrt(231) + -1*sqrt(231) - sqrt(231))/sqrt(7))/(sqrt(18)/sqrt(24)).
-2*sqrt(11)
Simplify -2*(-3*((sqrt(34) + (sqrt(34) - (sqrt(34) + sqrt(544) - sqrt(34))))/sqrt(2) + sqrt(17)) + 2)**2.
-314 - 24*sqrt(17)
Simplify (sqrt(119)*2*-6)/(sqrt(112)/sqrt(4)).
-6*sqrt(17)
Simplify (4 + sqrt(7) + 3 - sqrt(7))**2 + 3 + sqrt(847).
11*sqrt(7) + 52
Simplify -5 + sqrt(40)/(sqrt(288)*-2).
-5 - sqrt(5)/12
Simplify (sqrt(170) - (sqrt(170) + sqrt(170)*-1)*-1)/sqrt(10).
sqrt(17)
Simplify ((-1*sqrt(140)*-6)/(sqrt(56)/(sqrt(32)/sqrt(4))))**2.
720
Simplify (sqrt(55)/(sqrt(10)/sqrt(2)))**2 + 5 + (6*sqrt(33)/sqrt(3))**2 + -3.
409
Simplify -1 + sqrt(17)*1 + sqrt(17) + 0 + -1.
-2 + 2*sqrt(17)
Simplify sqrt(77)/(sqrt(11) + sqrt(11)*2*-3).
-sqrt(7)/5
Simplify 5 + (3 + 0 + sqrt(2880))**2.
144*sqrt(5) + 2894
Simplify ((-1*sqrt(224))/(sqrt(63)/(-1*sqrt(9))))**2.
32
Simplify sqrt(504)/sqrt(8) + sqrt(56)/(sqrt(8) + 2*sqrt(8)).
10*sqrt(7)/3
Simplify 5 + sqrt(76)/sqrt(4) + -1*sqrt(19)*-1.
5 + 2*sqrt(19)
Simplify (sqrt(5) - (sqrt(5) + sqrt(80)*-3))*6.
72*sqrt(5)
Simplify (5*(sqrt(891) + -1 + 4)*4)**2.
21600*sqrt(11) + 360000
Simplify (sqrt(3520)*-2 + sqrt(3520))/((sqrt(99)*-2)/sqrt(9) + sqrt(11))*-4.
-32*sqrt(5)
Simplify -4*((sqrt(24)/sqrt(4)*2)/sqrt(2))**2.
-48
Simplify -1*sqrt(432)*2.
-24*sqrt(3)
Simplify (sqrt(26)/sqrt(2)*-1 - ((sqrt(13) - (sqrt(13) + sqrt(65)/sqrt(5))) + 1))**2.
1
Simplify (4 + 3*(sqrt(98) + -1))**2.
42*sqrt(2) + 883
Simplify -2 + sqrt(175)*-4 + -5.
-20*sqrt(7) - 7
Simplify (sqrt(30)*1)/sqrt(6) - (sqrt(80) + (sqrt(80) + sqrt(80)*4 - sqrt(80) - sqrt(80))**2).
-720 - 3*sqrt(5)
Simplify (2*(-1*(sqrt(125) + 0) - sqrt(125))*-6)**2.
72000
Simplify ((2*sqrt(980) - sqrt(20))/sqrt(4) - (sqrt(80) + sqrt(80)*1*-5))**2.
4205
Simplify (sqrt(168)/sqrt(6) + (sqrt(700)*-1 + sqrt(700))**2)*-4.
-8*sqrt(7)
Simplify sqrt(1053) + -1 - (1 + sqrt(1872)).
-3*sqrt(13) - 2
Simplify (3*sqrt(143))/sqrt(11) + sqrt(52)/(sqrt(20)/sqrt(5)).
4*sqrt(13)
Simplify -1 + sqrt(95)/sqrt(20).
-1 + sqrt(19)/2
Simplify (((1*sqrt(5040) - sqrt(5040)) + sqrt(35))/(sqrt(5) - sqrt(5)*-1*1))**2.
7/4
Simplify (sqrt(34) + (sqrt(34) - (sqrt(34)*1 + sqrt(34)))*-6 + sqrt(34))/(((sqrt(72) - sqrt(18)) + sqrt(18))/sqrt(9)).
4*sqrt(17)
Simplify (-5 + 2*sqrt(98) - (-3*(sqrt(98) + 0 + sqrt(98)))**2) + -2.
-3535 + 14*sqrt(2)
Simplify 1*sqrt(112) + -2 + -1 + 2*sqrt(700).
-3 + 24*sqrt(7)
Simplify (-2 + sqrt(11) + -4)*-6 + 2.
-6*sqrt(11) + 38
Simplify (4*(1*sqrt(40) + sqrt(40)))/(sqrt(80)/(sqrt(30)/sqrt(3))).
8*sqrt(5)
Simplify sqrt(28)/sqrt(4)*4 - (0 + sqrt(448) - sqrt(448)).
4*sqrt(7)
Simplify 4*(sqrt(33)/((sqrt(45)/sqrt(3))/sqrt(5)))**2.
44
Simplify (6*(2*sqrt(110) - sqrt(110)))/((sqrt(100)*1)/sqrt(10)).
6*sqrt(11)
Simplify sqrt(152)/(sqrt(8) + 1*sqrt(800)).
sqrt(19)/11
Simplify (6*sqrt(76)*-2)/sqrt(4).
-12*sqrt(19)
Simplify (sqrt(567) - (sqrt(567) + sqrt(567)*-2 + sqrt(567) - sqrt(567)))/sqrt(9).
6*sqrt(7)
Simplify 6*(-1*sqrt(432) + sqrt(432))**2.
0
Simplify 1 + sqrt(1331) - (sqrt(539) + 5)**2.
-563 - 59*sqrt(11)
Simplify ((sqrt(76) + sqrt(76) + 1)*2 - -2*sqrt(76)*5)**2.
112*sqrt(19) + 14900
Simplify (-1 + -4*sqrt(35)/sqrt(252))**2.
4*sqrt(5)/3 + 29/9
Simplify (1*(sqrt(336) - sqrt(21)))/(sqrt(7) + (sqrt(7) + sqrt(7) + (sqrt(175) - sqrt(7)))*6).
3*sqrt(3)/37
Simplify 4*(sqrt(343)*3 - sqrt(343)) + -3.
-3 + 56*sqrt(7)
Simplify -5 + sqrt(63) + -5.
-10 + 3*sqrt(7)
Simplify (2*2*sqrt(1100) + 1*sqrt(1100) + 5 + 5)**2.
1000*sqrt(11) + 27600
Simplify 6*sqrt(27) + 4.
4 + 18*sqrt(3)
Simplify -5 + (-1*sqrt(45))**2*6.
265
Simplify 2*sqrt(45) + 3 + ((sqrt(2880)*4)**2 - sqrt(45) - sqrt(45)).
46083
Simplify (sqrt(272)*-4)**2 + 0.
4352
Simplify -4 + sqrt(55)/sqrt(11) + 2.
-2 + sqrt(5)
Simplify (-1*(-2*sqrt(85) + sqrt(85)
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -5*w + 5*g = -50, w = -3*w - p*g + 4. Calculate the highest common factor of 6 and w.
6
Suppose 3*z = -z + 96. Calculate the greatest common divisor of 24 and z.
24
Let a(q) = -3*q**3 - q**2. Let b be a(-1). What is the greatest common divisor of 20 and b?
2
Let p be 3/(-9) - 403/(-3). Let q = 188 - p. Calculate the greatest common divisor of 18 and q.
18
Let f = 21 + -2. Let l = -532 - -570. What is the greatest common divisor of f and l?
19
Let a = 18 - 7. Calculate the greatest common factor of 11 and a.
11
Let v = 395 + -153. What is the greatest common factor of v and 22?
22
Let z(i) = 2*i + 90. Let p be z(0). Suppose -n + 156 = 3*n - 4*j, -5*n + 174 = 2*j. Calculate the greatest common factor of n and p.
18
Suppose -5 = -r, -r + 0*r = -s - 3. Let c be (s/(-4))/((-4)/8). Calculate the highest common divisor of c and 3.
1
Suppose 10 = 4*x - 94. What is the highest common divisor of 13 and x?
13
Suppose -7*m + 2*m - 704 = 2*a, -3*a = 3*m + 417. Let d = -72 - m. Calculate the highest common factor of 10 and d.
10
Suppose 1 = -3*w + 2*d - 3, 4*w + 5*d + 13 = 0. Let n = 20 - w. What is the highest common factor of 11 and n?
11
Suppose -6*p + 138 + 42 = 0. Calculate the greatest common divisor of p and 150.
30
Let v = 72 + -45. Calculate the greatest common factor of v and 9.
9
Suppose 12 = j - 3. Suppose j = 3*i - 42. Suppose f - 3*f + 114 = 0. What is the highest common divisor of f and i?
19
Let j = 6 - 4. Suppose 4*v - v + 12 = 0. Let h be ((-8)/(-2))/(v/(-6)). Calculate the highest common divisor of j and h.
2
Let z be -2*5/(30/(-9)). Let u(r) = z*r + 0*r - r + r - 8. Let k be u(7). Calculate the highest common factor of k and 117.
13
Let m = 18 - 6. What is the highest common factor of m and 132?
12
Let b(z) = -z + 11. Let u be b(0). Let w = -44 - -25. Let i = 3 - w. Calculate the greatest common divisor of i and u.
11
Suppose 1 = 4*u - 7. Let q be (1 - 12/(-2)) + -3. Let d = 26 - q. Calculate the highest common factor of u and d.
2
Let w = 4 + -10. Let j be 107/6 + w/(-36). Calculate the greatest common divisor of j and 9.
9
Let a(o) = o**2 + 5*o - 9. Let z be a(-9). Calculate the highest common divisor of 54 and z.
27
Suppose -10*l + 300 = -5*l. Let o = 55 - 35. Calculate the highest common divisor of o and l.
20
Suppose -1 = 2*u + 3*h + 2, -3*u = -4*h + 13. Let z be (70/(-15))/(2/u). Calculate the greatest common factor of z and 77.
7
Let k be (2 + -20)/(3/(-2)). Let t be 16/(-3)*(-27)/k. Calculate the highest common divisor of 36 and t.
12
Let q = -14 + 11. Let f be 1/q - 511/(-21). Calculate the highest common factor of 36 and f.
12
Let n = 91 - 46. Suppose -k - 2*k = 5*v - 87, -22 = -2*v + 2*k. Calculate the greatest common divisor of n and v.
15
Suppose 3 - 5 = 2*q. Let l be (q - 6/3) + 58. Calculate the highest common divisor of 5 and l.
5
Suppose 2*t + 4*l - 46 = -6, -5*l = 5*t - 110. What is the greatest common divisor of 60 and t?
12
Let v = -23 + 31. What is the greatest common factor of v and 8?
8
Let j(a) = 2*a**2 + 2. Let n(r) = -r - 4. Let q(z) = 3*z + 6. Let p be q(-4). Let w be n(p). Let g be j(w). What is the greatest common divisor of 90 and g?
10
Suppose -z + 3*s = -13 - 17, -s = -2*z + 80. What is the greatest common divisor of 105 and z?
21
Suppose 5*c - s = 12, -4*s - 11 + 35 = 4*c. Let m = 0 + 3. What is the greatest common factor of c and m?
3
Let b be 3/((((-6)/3)/(-18))/1). Calculate the highest common divisor of 27 and b.
27
Let z = 45 - 23. Calculate the greatest common factor of z and 154.
22
Let d(q) = 34*q**3 + q**2 - q - 2. Let i be d(2). Calculate the highest common divisor of i and 34.
34
Let d = 4 + 1. Suppose d = 5*i, r - i = -1 + 10. What is the greatest common factor of r and 40?
10
Suppose 3*o - 108 = -5*t + 2*t, 0 = 3*o + t - 108. What is the highest common factor of o and 9?
9
Suppose 0 = -3*y + b + 227, 5*b + 25 = -2*y + 182. Calculate the greatest common factor of 19 and y.
19
Let j = 75 + -43. Let b be (0 - -1) + (-6)/(-1). Let q = 1 + b. Calculate the greatest common divisor of q and j.
8
Let a(o) = -2*o. Let x be a(-1). Calculate the highest common factor of x and 10.
2
Suppose -2*u = -u - 13. Let p be 5*(-1 - -2)/1. Suppose -44 + p = -3*f. What is the highest common divisor of u and f?
13
Let x be 1/2*-2*101. Let o = 40 + x. Let v = -33 - o. What is the highest common divisor of v and 14?
14
Suppose 0 = -3*v + 3*h + 264, v - 45 = -h + 35. Let i be v*(6/(-4) + 2). What is the highest common divisor of 28 and i?
14
Let l = -8 - -13. Suppose 0 = l*k - 10, -5*k - 80 = 5*i - 540. Calculate the highest common factor of i and 36.
18
Let g be 20/70 - 208/(-7). Let a be 0 + 13 + (1 - -1). Suppose -2*c + 25 = j, a = 2*j + 2*c - 25. Calculate the greatest common factor of g and j.
15
Suppose 0 = -b + 5. Suppose b*j = -3*c + 17 - 2, -62 = -5*c + 4*j. What is the highest common factor of 70 and c?
10
Let b = 5 - 6. Let a be 6/30*(-5)/b. Let y(g) = 10*g. Let r be y(a). What is the greatest common factor of 90 and r?
10
Let g = 10 + -10. Suppose -t + 68 = -g*t. Calculate the highest common factor of 17 and t.
17
Suppose 5*c - 4*f - 101 = 0, -14*f + 86 = 4*c - 12*f. Calculate the greatest common factor of 9 and c.
3
Let a(m) = -m**3 + 10*m**2 + m - 6. Let q be (4/(-3))/(4/(-30)). Let l be a(q). What is the highest common factor of l and 36?
4
Suppose -70 = -3*q - 5*x, 44 - 142 = -5*q + x. Suppose -5*b = 3*c - 102 + 22, -4*c - 5*b = -110. What is the greatest common divisor of q and c?
10
Suppose 7*g - 3*g - 176 = 0. What is the greatest common factor of 110 and g?
22
Let h = 257 + -169. Suppose -2*o = -4*t - 18, -5*o - 2*t + 0*t = -9. Suppose 3*w + 22 = o*s + 2*w, -3*w = -6. What is the greatest common divisor of s and h?
8
Suppose 16*f - 415 + 111 = 0. Suppose 4*h - 96 = 132. What is the greatest common factor of f and h?
19
Let u = 20 - 11. What is the highest common divisor of 9 and u?
9
Let f(x) = -2*x - 9. Let a = -17 - -9. Let i be f(a). What is the greatest common factor of 7 and i?
7
Let c be 420/50*(-10)/(-4). Calculate the highest common divisor of 3 and c.
3
Let b = 125 - 75. What is the greatest common factor of b and 20?
10
Suppose 4*q = -3*j - 24, 2*q = -5*j - q - 29. Let g be ((-26)/j)/(1/2). Let l(d) = 70*d + 3. Let r be l(2). Calculate the greatest common factor of g and r.
13
Suppose 4*l + 19 = 59. What is the greatest common divisor of 2 and l?
2
Suppose -d - 18 = -5*q, d + 11 - 1 = 3*q. Suppose -3*k + 6*k = -78. Let r = k - -42. Calculate the greatest common factor of d and r.
2
Suppose -2*a = 5*y - 292, -3*y = -0*a + a - 176. Calculate the greatest common divisor of 20 and y.
20
Let n(o) = 3*o - 3. Let m be n(8). Calculate the greatest common divisor of 105 and m.
21
Suppose -12 = -3*z + 4*j, 2*j = -4*z - z + 46. Suppose 440 = 2*i + 3*i. Calculate the greatest common factor of i and z.
8
Let p(l) = l**3 - 7*l**2 + 4*l + 17. Let o be p(7). Calculate the greatest common divisor of o and 18.
9
Let z be (0 - -10)*1 - 0. Suppose 0 = -0*s + 5*s - z. Suppose 3*u + 2*u + 2*q - 260 = 0, -s*u = 4*q - 120. Calculate the greatest common factor of u and 20.
10
Let u(y) = -y**2 + 8*y + 7. Let o be u(5). What is the highest common divisor of o and 55?
11
Suppose -3*p + g - 9 = -2*g, -2*g + 10 = 0. Suppose -3*l + 0*l + z = -124, -5*l - p*z + 192 = 0. What is the greatest common divisor of l and 5?
5
Let g be (-1)/(-3) + (-134)/(-3). Suppose -4*u + u = -g. Suppose b + 5*b = 180. What is the highest common factor of u and b?
15
Let f = 39 + -35. Calculate the greatest common divisor of 44 and f.
4
Let c(y) = -2*y**3 + y**2 - y + 4. Suppose -v + 5*x = -5, -5*v + 1 = -0*x - x. Let f be c(v). What is the greatest common divisor of f and 6?
2
Suppose 3*l = -3*z + 30, -4*l = -z - 4*z - 40. What is the highest common divisor of 110 and l?
10
Let a be 1 - 1 - (-1)/1. Let j(x) be the third derivative of x**5/30 - x**2. Let b be j(-2). Calculate the greatest common divisor of b and a.
1
Suppose -19*a - 3*a + 154 = 0. Let y = -18 - -25. Calculate the greatest common factor of a and y.
7
Suppose -6*q = -3*q - 75. Suppose -5*n + 0 + q = 0. Calculate the highest common factor of 15 and n.
5
Let m be ((-12)/(-8))/(-1)*-70. Let t(h) = -4*h - 1. Let o be t(-4). What is the greatest common divisor of o and
|
{
"pile_set_name": "DM Mathematics"
}
|
z**2 + 5*z - 5. Let g be v(5). Sort o, w, g in ascending order.
g, w, o
Let w = 2.07 - 3. Let n = w - 0.07. Put -5, 3, n in increasing order.
-5, n, 3
Let p = -0.4 - -0.2. Suppose 2191*n = 2193*n - 8. Put p, n, -0.01 in descending order.
n, -0.01, p
Let l = -115 + 121. Sort 3, l, 2, -4 in descending order.
l, 3, 2, -4
Let o = 382 - 385. Put o, -5, 2/3, 0 in decreasing order.
2/3, 0, o, -5
Let n = -330 + 324. Put n, 4/5, 4 in decreasing order.
4, 4/5, n
Let k be (-9)/3 - -3 - (-4)/18. Let q = 5 + -2. Let g = q - 5. Sort g, 0.4, k.
g, k, 0.4
Let p be (1/(-6))/(-3 + 30/8). Let w = 4.94 + 0.06. Sort 1, p, w.
p, 1, w
Let z be ((-55)/165)/((-1)/3). Put z, 4, -2, 5 in descending order.
5, 4, z, -2
Suppose 0 = -2*z - 3*n, -2*z - 3*z = 4*n - 7. Suppose z*p = -0*p. Let h(x) = 4*x**3 - x**2 + 1. Let j be h(1). Put p, j, -5 in increasing order.
-5, p, j
Let a = -3 - -2.9. Let d = -121 + 118. Sort a, d, 0.4.
d, a, 0.4
Let j = -54.1 + 21.7. Let f = 32 + j. Put 5, f, -0.17, 3 in descending order.
5, 3, -0.17, f
Suppose -3*w = -3*h + 3, 0 = 3*h + 3*w + 39 - 12. Put -2, h, -7 in increasing order.
-7, h, -2
Let w(a) = 3*a + 16*a**2 - a**3 + 0 - 4 - 17*a**2. Let f be w(-3). Sort -5, f, -3 in decreasing order.
f, -3, -5
Let w = 0.5 - 0.47. Let p(n) = -n**3 + 7*n**2 + 48*n + 14. Let z be p(-4). Sort 1, w, z in ascending order.
z, w, 1
Let j be ((-2 - -5) + -5)*-1. Let s(c) = -c**2 - 7*c - 1. Let g be s(-7). Suppose -2 = -3*n + 1. Sort g, n, j in increasing order.
g, n, j
Let i(o) = -o**2 - 1. Let q be i(-1). Let p(b) = b**2 + 23*b + 38. Let z be p(-2). Sort q, -1, z in descending order.
-1, q, z
Let y = -106 - -109. Let u be (-39)/(-117) - y/(27/2). Put 1/2, 5, -2, u in descending order.
5, 1/2, u, -2
Let a = 67 - 14. Let d = 49 - a. Let n be 3/6 + (-13)/10. Put -5, d, n in descending order.
n, d, -5
Let b be (3/2)/((-4)/(-8)). Let y be b/(-27) + (-105)/27. Sort 0, 2, y in ascending order.
y, 0, 2
Suppose 5*w - 32 = d, 8*w - 3*w + d = 38. Suppose 5*h + 3*y + 24 = -w, -4*h - 24 = 2*y. Let l = 21/2 - 10. Put l, 0.3, h in descending order.
l, 0.3, h
Let f = 0.06 + -36.06. Let b = -37 - f. Sort 0.04, b, 0.5 in descending order.
0.5, 0.04, b
Suppose 5*u = 15, -5*u = 4*j + 6 - 9. Put 5, 0, -22, j in descending order.
5, 0, j, -22
Let f = 30 + -32. Let l be (-16)/6 + f/(-3). Sort -3, 3, l in increasing order.
-3, l, 3
Suppose -3*m + 20 = 5*g - 8*m, 0 = 2*g + 3*m - 28. Put 5, g, -1, -5 in increasing order.
-5, -1, 5, g
Let z(d) = -d**3 - 10*d**2 - 10*d + 21. Let a be z(-8). Sort -2, a, -7 in increasing order.
a, -7, -2
Let h = -7 - -7.2. Let b(w) = -w - 8. Let m(d) = d + 7. Let y(a) = 4*b(a) + 5*m(a). Let r be y(0). Sort h, r, -5 in ascending order.
-5, h, r
Suppose -17*p = -22*p. Let r be (-7)/(-28)*(p - 2). Sort -1/7, r, -1 in descending order.
-1/7, r, -1
Let t(l) = -l**2 + 3*l + 6. Let b be t(4). Let g be b/((-11)/(-3) + -3). Put g, 2, 1 in increasing order.
1, 2, g
Let s = -10.029 + 0.029. Let k = -0.02 + 14.02. Let j = s + k. Sort -2/9, j, -4.
-4, -2/9, j
Let v = -219 - -219.2. Sort -95, 0, v in decreasing order.
v, 0, -95
Let o = -359/2562 + -1/366. Sort -9, 0, o in decreasing order.
0, o, -9
Let z = 0.52 + -1.14. Let r = z + -2.38. Let v = 5 + -2. Sort 2, r, v in increasing order.
r, 2, v
Let c(r) = -29*r + 55. Let n be c(2). Sort -8, n, 5, 4 in descending order.
5, 4, n, -8
Suppose -i = y - 18, 2*y + 0 = 6. Suppose 5*b = -10, -8*b + 4*b = -2*u + 12. Sort u, i, -4.
-4, u, i
Let z = 4 + -6. Let k be (-20)/6*(-18)/4. Suppose -b - 2*b = k. Sort b, 5, z in descending order.
5, z, b
Let r = -62 - -62.1. Put -0.0045, r, 0.4 in descending order.
0.4, r, -0.0045
Let w = 397 + -392. Let z = -4 - -2. Sort 1, w, z in descending order.
w, 1, z
Let i be (6/(-10) - (-186)/(-15))/(-1). Suppose -19 = 3*x - i. Sort 0, x, -1 in descending order.
0, -1, x
Let m = -26 - -28. Let f be (m/6)/((-3)/36). Let k = 407/645 + -4/129. Sort k, f, 4 in increasing order.
f, k, 4
Let c = -0.32 - -0.1. Let n = c - -0.72. Let d = -0.8 + n. Sort -3, d, -0.1 in decreasing order.
-0.1, d, -3
Suppose -5*v - 435 = -430. Put 4, -2, v, 6 in decreasing order.
6, 4, v, -2
Let z = 212 - 207. Put z, 11, 0 in decreasing order.
11, z, 0
Suppose -9 = 24*o + 567. Sort -5, o, -4, 2/17 in descending order.
2/17, -4, -5, o
Let j be 1/(-3) - 22/(-30). Suppose 5*i = -4*p - 0*i + 37, -15 = -3*i. Let r(v) = v**3 - 4*v**2 + 3*v - 1. Let g be r(p). Sort j, g, 5 in descending order.
5, j, g
Let d be 3/(-2) + (-104)/(-48). Let o = -667 + 672. Put o, -0.01, d in descending order.
o, d, -0.01
Let n be (8/24)/(21/63). Sort -5, n, -32, 0 in ascending order.
-32, -5, 0, n
Let m = 4.125 - 0.125. Let i be 0 - 0 - (-4)/6. Let v = -0.135 + -3.865. Sort v, i, m in descending order.
m, i, v
Let d = -3.53 + -33.47. Sort d, -1, -4, 0.4 in descending order.
0.4, -1, -4, d
Let h(i) = -i - 5. Let q be h(-10). Let o = 25 - 25. Suppose o*w - 5 = -q*j - w, -j + 4*w + 22 = 0. Sort j, 0, 4 in descending order.
4, j, 0
Let j(r) be the first derivative of -r + 1/4*r**4 + 4*r**2 + 3*r**3 - 3. Let g be j(-8). Sort 2, g, -4 in descending order.
2, g, -4
Let p = 673 + -670. Put p, -1, 2/35, 2/71 in decreasing order.
p, 2/35, 2/71, -1
Let s(o) = -o**3 - 13*o**2 - 2*o - 16. Let h be s(-13). Let a(r) = r - 13. Let f be a(h). Put f, 3, 1 in increasing order.
f, 1, 3
Let g = -21.27 - -0.27. Let p = -20.6 - g. Let z = 0.19 + 0.01. Sort z, 4, p.
z, p, 4
Suppose -5*x + 61 = 11. Suppose x = 5*v - 3*v, -v = -i + 325. Let d be 2/(-11) - 160/i. Put 2, d, 2/7 in descending order.
2, 2/7, d
Let z(w) = -3*w**2 + 19*w - 12. Let i be z(6). Let f(s) = s**2 + 5*s - 2. Let p be f(-5). Sort p, i, -3 in ascending order.
i, -3, p
Let q = -10371/5 - -2074. Let i be ((-2)/20)/(2/(-4)). Let s = -3 - 2. Put q, i, s in ascending order.
s, q, i
Suppose -68*b + 653 = -979. Sort -4, b, -2 in descending order.
b, -2, -4
Let k(c) = 2*c**2 - c - 41. Let j be k(-4). Suppose -1 + 21 = 5*z. Put 1, j, z in descending order.
z, 1, j
Suppose 0 = 13*h + 3*h - 816. Sort 0, h, 2 in descending order.
h, 2, 0
Suppose 8*w - 5 - 27 = 0. Suppose 6*b = -w*b + 20. Sort 4, b, 0 in increasing order.
0, b, 4
Let w be 2/(-4) + (-77)/(-14). Suppose 0 = -0*b + b - w. Suppose b*t + 18 - 3 = 0. Sort 4, t, 5 in decreasing order.
5, 4, t
Suppose 0 - 6 = -2*y, -4*k + 2*y + 6 = 0. Suppose -4*g + 6 = -2*r, 0 = -6*r + 2*r - 2*g + 28. Suppose 3*m - r = 1. Put k, 0, m in decreasing order.
k, m, 0
Suppose 7*b - 10*b + 15 = 0, 3*l + 320 = 4*b. Sort -1, l, -2 in descending order.
-1, -2, l
Let i = 2025.93 + -2026. Put i, 2/11, -5, 1/30 in descending order.
2/11, 1/30, i, -5
Let v(i) = 10*i - 78. Let z be v(8). Sort z, 4, 0 in decreasing order.
4, z, 0
Let f = 0.205 + 0.685. Sort f, -5, -0.4 in descending order.
f, -0.4, -5
Suppose -4*z + 4 = -4. Suppose -z*k = k + 5*x - 43, 5*k - 4*x = 47. Sort -3, -5, k in descending order.
k, -3, -5
Let a = -27 - -26.2. Let o = a + -4.2. Sort -0.2, 4, 1, o in decreasing order.
4, 1, -0.2, o
Let n = 4 + -7. Let q = -1 + n. Let s = 250 + -752/3. Sort q, s, 4 in descending order.
4, s, q
Suppose -13*t + 0 = 13. Sort -3, t, 3, -17 in increasing order.
-17, -3, t, 3
Let v = 75.46 + -70. Let r = v - -0.54. Sort r, 0, -0.4 in descending order.
r, 0, -0.4
Let i be 1*(4 + (-5 - 0))*5. Suppose 2 = -5*f - 8. Sort -12, f, i, 5 in increasing order.
-12, i, f, 5
Suppose 2*r = -3*m - 10 - 6, 4*m - 16 = 2*r. Put 3, r, 5, -5 in ascending order.
r, -5, 3, 5
Suppose 0*f - h - 5 = -f, h - 13 = -2*f. Suppose 6*d + 26 = -22. Let y be 1 + 1/24 + d/12. Sort f, 0, y in ascending order.
0, y, f
Let l = 7.23 - 2.23. Put 4, -4/7, l in ascending order.
-4/7, 4, l
Suppose -11*q - 7 = -40. Sort q, 2, -5, 4 in decreasing order.
4, q, 2, -5
Suppose 47*u - 73 = 140 + 22. Let c be 4*2/((-8)/(-3)). Suppose -4*p = 3*t - 31, -p - c*t + 8 = -11. Sort u, -1, p in increasing order.
-1, p, u
Let t be 2 + -2 - (-2)/(-23). Let a(f) = 50 - 22*f + 6*f + 11*f. Let y be a(8). Put -3, t, y in descending order.
y, t, -3
Let b be 6/8 - 72/96. Put -62, -3, -4, b in increasing order.
-62, -4, -3, b
Let i = 0.038 - 0.477. Let n = 0.039 + i. Put -3/5, n, 3/8, -2 in increasing order.
-2, -3/5, n, 3/8
Let x = -415 + 412. Put 5/19, x, -4 in descending order.
5/19, x, -4
Let y(j) = 4*j**2 + 28*j + 2. Let c be y(-7). Let r = 17 + -18. S
|
{
"pile_set_name": "DM Mathematics"
}
|
-2/63)*t*(t*t**(4/11)/t*t*t*t)/t*t)/(t/(t*(t*t**7)/t)*t)**(-22) assuming t is positive.
t**(-88474/693)
Simplify (r/r**(7/6))**(1/14)*(r*r**12*r)**(1/27) assuming r is positive.
r**(383/756)
Simplify f**(-29)/(f*f*f/(f**0/f)*f*f)*f*f*f**(-2/15)*f*(f*f**(-3/19))/f assuming f is positive.
f**(-9203/285)
Simplify (k/(k/k**15*k)*k)/k**(-2)*(k**(-1/4))**(19/4) assuming k is positive.
k**(253/16)
Simplify (((f*(f/(f/(f*f**(-3))*f))/f*f)**17)**31)**(-46) assuming f is positive.
f**48484
Simplify (x**5)**43*(x**(-2))**14 assuming x is positive.
x**187
Simplify (b**(-2/33))**3*b**(2/73)*b*(b*(b**11*b)/b)/b assuming b is positive.
b**(9512/803)
Simplify (z/z**(1/8))/(z*z**(-28))*(z**(-1/20)/z)/z*z*z*(z/z**(21/4))/z assuming z is positive.
z**(903/40)
Simplify (q**(2/43)*q/((q**(-6)/q)/q))/(q**(3/4))**(-8/5) assuming q is positive.
q**(2203/215)
Simplify (w**14/(w*(w/(w*w*w**7))/w))/(w**(-5/2)*w)**12 assuming w is positive.
w**40
Simplify ((b/(b*b**1*b)*b)/((((b**(2/45)/b)/b)/b)/b))/(b*(b**(2/11)/b)/b)**(-15) assuming b is positive.
b**(-4612/495)
Simplify ((i/(i/(i/(i/i**(-3)))))/i*i**10)/(i*i**(-5)*i**(-3/5)) assuming i is positive.
i**(53/5)
Simplify (j**(-7)*(j/(j*j*j**9))/j*j)/(j**(12/5)*j**(-3/19)) assuming j is positive.
j**(-1828/95)
Simplify y**(-2/3)/(y*y**(-1/3))*y**(-15)/(y**16*y) assuming y is positive.
y**(-100/3)
Simplify g**19*g*g*g*g**5*g*g**(6/13)*(g/g**(-4))/g assuming g is positive.
g**(422/13)
Simplify (n**(-4/9)*n)/(n/n**(-2/9))*n**(-4/11)/(n**(-1/3)*n*n) assuming n is positive.
n**(-89/33)
Simplify ((c**(3/8)*c)/c**(-6/7))/(c/(c*c**10/c*c*c)*c*c*c*c/(c/c**(2/9))) assuming c is positive.
c**(5045/504)
Simplify (s/(s*s/s**(-5)))**(-5)*s**(-3/10)*s**(3/8) assuming s is positive.
s**(1203/40)
Simplify ((m/(m**(1/4)/m))/m)**38*m**(-17)*m**(-9) assuming m is positive.
m**(5/2)
Simplify ((p/(p*p**(-1/3)))/(p**(1/8)*p*p)*((p*p**(2/7)*p)/p*p)**(2/121))**(-7) assuming p is positive.
p**(35653/2904)
Simplify (v**13)**(-2/87)*(v/((v*v/(v/v**(-3/10)*v)*v)/v))/(v**(-2)/v*v) assuming v is positive.
v**(2611/870)
Simplify (((z**0)**11)**50)**(2/37) assuming z is positive.
1
Simplify (d/d**(1/11)*d*d**11)/(d**(-1/5))**(-15) assuming d is positive.
d**(109/11)
Simplify (d**(-7)*d)**6/((d*d/(d/(d*d**(1/17))*d))/((d**(-24)/d)/d*d*d)) assuming d is positive.
d**(-1038/17)
Simplify ((v**(2/33)/v)/(v/(v*v/(v*v/v**(-7))*v)))/(v**3/(v/v**(-3/8)*v)) assuming v is positive.
v**(-2261/264)
Simplify (b/(b/(b**(-5)*b)))/((b/b**(7/6))/b)*((b*b**6*b*b)/b)/(b**(-11)/b) assuming b is positive.
b**(103/6)
Simplify ((b**(-9/5))**(-22))**(-4/3) assuming b is positive.
b**(-264/5)
Simplify ((d**(-3)/d)**(-31)/(d/d**(2/5)*d)**(-3/10))**(-28) assuming d is positive.
d**(-87136/25)
Simplify s**(-9/2)/(s/s**(11/2))*(s**(1/2))**(1/54) assuming s is positive.
s**(1/108)
Simplify ((t/(t/(t*t/t**(10/3))*t*t)*t*t*t*t/(t*(t*t*t*t**(1/9)*t)/t))**38)**(-19) assuming t is positive.
t**(22382/9)
Simplify (m/(m**(1/9)*m))**(1/18)*(m*m**(6/5))**(-44) assuming m is positive.
m**(-78413/810)
Simplify (((v**(-2/17)/v)/v)/(v**32*v))/(v/((v/v**(-28))/v)*v*v**34) assuming v is positive.
v**(-733/17)
Simplify ((d/(d*d*d**(1/4))*d)**(8/9)/((d**(-2/3)/d)/(d*d**(-1/6))))**(-46) assuming d is positive.
d**(-943/9)
Simplify ((u**(2/5)/((u*(u*u/(u/(u*u**(2/23)))*u)/u*u*u*u)/u))**48)**(-11) assuming u is positive.
u**(284592/115)
Simplify ((s**3/s**8)/(s/((s**(-8)*s)/s)*s*s**(-3)))**25 assuming s is positive.
s**(-300)
Simplify ((q**(2/7)/q)/q*q*q/((q*q**(9/8))/q))**(-33) assuming q is positive.
q**(1551/56)
Simplify (z**(-47)/z*z*z**(-3/32))**(-32) assuming z is positive.
z**1507
Simplify ((t*((t*t**(-20/7))/t)/t*t)/t*t*t**14*t)**(-41) assuming t is positive.
t**(-3772/7)
Simplify (a**(1/55)*a)**(-2/19)*a**33/(a/(a**(-41)/a)) assuming a is positive.
a**(-10562/1045)
Simplify (x**13/x*x**17)/(x**(-7/8)*x*x**32/x) assuming x is positive.
x**(-17/8)
Simplify (h**(-5))**(-6/13)/(h**3*h*(h/h**(2/11)*h)/h) assuming h is positive.
h**(-359/143)
Simplify (a*a*a**(2/19)*a*a*a*(a*a**(-3/5))/a)/(a**(-7)*a/a**8*a) assuming a is positive.
a**(1663/95)
Simplify (h**(-1/4)/h**6)**(-40) assuming h is positive.
h**250
Simplify t**(3/8)/t*t*(t/(t/t**(1/16)))/t*t*t/(t**(-9/8)/t)*((t*t**11)/t)/t assuming t is positive.
t**(217/16)
Simplify ((w*w*(w/(w*w*((((w*w**(-10)/w*w)/w)/w)/w)/w))/w*w)/(w/(w/w**10)))/(w/(w*w**(-2/13)))**(-10/9) assuming w is positive.
w**(488/117)
Simplify ((w**0)**10*w**(1/3)*(w*w*(((w/w**(-2/11))/w)/w*w)/w)/w)**(-1) assuming w is positive.
w**(-17/33)
Simplify ((n*n**0/n)/(n/((n**(-1)*n)/n)*n)*(n/n**(1/6))/(n**(-3)/n))**(-21) assuming n is positive.
n**(-77/2)
Simplify (o/o**8*o**(-14)/o*o)/((o/(o**(3/10)*o))/(o/(o**(-7/6)/o)*o)) assuming o is positive.
o**(-248/15)
Simplify (m**(-1/11)*m*m*m*m/(m*m/(m/(m**(-2/103)*m*m))))**(24/7) assuming m is positive.
m**(25248/7931)
Simplify ((l**(1/3)*l)**(-33)*(l**(1/3))**(9/13))**(6/7) assuming l is positive.
l**(-3414/91)
Simplify (o*o**(-2/5)*o)**10/((o/(o**2/o)*o)/(o*o**(3/7)/o)) assuming o is positive.
o**(108/7)
Simplify (n*n/n**6)**(-3/19)*(n**(-4))**(-11/4) assuming n is positive.
n**(221/19)
Simplify l**16*l*l**(6/5)*l**(3/2)/(l/(l*l**(-1/24))) assuming l is positive.
l**(2359/120)
Simplify (((x**(1/3))**(-5/12))**(-38))**15 assuming x is positive.
x**(475/6)
Simplify (b*b**(1/5)*b*b*b**(-11))/(b**(-3)*b)**26 assuming b is positive.
b**(221/5)
Simplify (l**18)**(-35)/((l*l**17)/l)**(-5) assuming l is positive.
l**(-545)
Simplify v*v**(-7)*v/v**20*(v**(-2/3)/v)/v*v/v**(-21) assuming v is positive.
v**(-17/3)
Simplify ((h/(h**(-20)/h))/(h/h**32*h))**2 assuming h is positive.
h**104
Simplify ((q/q**(-5/4))/(q*q**(-5)*q))/(q/(q*q**(3/4)))**(17/3) assuming q is positive.
q**(19/2)
Simplify (u*(u/(u**(-1/3)/u))/u)/(u*(u/u**(-4/3))/u)*u**(1/17)*u*u**(-7/4) assuming u is positive.
u**(-47/68)
Simplify g**(1/9)*g**8*(g/(g*g**(6/13)*g))/g**(2/5) assuming g is positive.
g**(3656/585)
Simplify j**(-4/7)/j**5*j**(-3)*j**(10/7) assuming j is positive.
j**(-50/7)
Simplify (y*y**(-6/13))/y*y/y**(2/15)*(y/(y/(y*y*y**0)))**1 assuming y is positive.
y**(469/195)
Simplify (o*o**20*o*o*o**(12/7)/o)/(o*o**(-24)*o**(-10)) assuming o is positive.
o**(397/7)
Simplify ((u**(-4/7)*u)/u*u**(-3/2)*(u*u**(-1/4))**(-1/17))**(2/11) assuming u is positive.
u**(-1007/2618)
Simplify (y**(-1/5)*y**(7/9))/(y/(y/(y*y**(3/10))*y*y))**(-2/67) assuming y is positive.
y**(1679/3015)
Simplify ((m/((m/m**(9/7))/m))/(m/((m*m*m**(2/7)/m)/m)*m))/(m/m**(2/3)*m)**(8/15) assuming m is positive.
m**(-44/315)
Simplify (v**(-12)*v**(-20))**(-4/13) assuming v is positive.
v**(128/13)
Simplify (l**(-7))**(-49)/(l*l**23*(l**(7/8)*l)/l) assuming l is positive.
l**(2545/8)
Simplify ((r/(r*r/(r/(r/(r*r/r**4)))*r))/r)**(41/5)/(r**(2/11)*r**(-3/5)/r) assuming r is positive.
r**(-2177/55)
Simplify ((s/(s*(s**(10/3)*s)/s))/s)**(-16)/(s/(s*s**(-2/7))*s*(s**(-4)/s*s)/s*s) assuming s is positive.
s**(1513/21)
Simplify (x*x*x*x**(-13)*x)**26/(((x/(x/(x*x*(x/x**(-1/5))/x)))/x)/((x**1*x)/x)) assuming x is positive.
x**(-1171/5)
Simplify (p*p/p**(2/33)*p**10)**(-22) assuming p is positive.
p**(-788/3)
Simplify ((l*l*l**(-2/29))/(l*l/(l/(l*l**(-24)/l*l))))/(l*((l/l**(-12))/l)/l)**(-4/9) assuming l is positive.
l**(2546/87)
Simplify (a**(2/5))**11/(a*a**(-2/17)*a*a*a**22) assuming a is positive.
a**(-1741/85)
Simplify c**13/c**(-5)*c/(c**2*c)*c/(c/c**(3/4))*c assuming c is positive.
c**(71/4)
Simplify ((i**14*i*i)/((i**(-1/6)*i)/i))/(i**(-16)*i**(2/13)) assuming i is positive.
i**(2497/78)
Simplify ((h*h/(h/(h/(h/(h/h**(1/2))))))**(-47)*(h**(1/3))**(-12/7))**(8/9) assuming h is positive.
h**(-3980/63)
Simplify p**(-11)*(p*p*p**(-13))/p*p**(-10)/(p/p**11*p) assuming p is positive.
p**(-24)
Simplify ((r**1/r)**(-1/20)/((r/((r/r**(2/5))/r*r))/(r/(r/(r**(-1)/r)))))**(-43) assuming r is positive.
r**(516/5)
Simplify (i/i**(1/5)*i*i*i)**(-1/9)*((i**(-3/13)/i)/i)/i**(-6/5) assuming i is positive.
i**(-170/117)
Simplify (((y/y**7)/(y/y**3))/(y*y/y**(1/3))**(2/13))**(-28) assuming y is positive.
y**(4648/39)
Simplify h*h**6*h*((h**(-3)/h)/h)/h*h*h*h*(h*h**(-19))/h**(-21) assuming h is positive.
h**8
Simplify (((b/b**(-3))/b)/b)**(-12)*b**(-1/6)*b/((b*(b*b**2)/b*b)/b) assuming b is positive.
b**(-157/6)
Simplify (((r*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
the second derivative of -l**4/6 - 2*l**3/3 + 4*l**2 + 3*l. Let g(t) = -t**2 - t + 1. Suppose 0 = -164*f + 161*f + 3. What is f*w(y) - 4*g(y)?
2*y**2 + 4
Let s(w) = 4*w - 6. Let v(h) = h + 1. Let o be v(5). Suppose 0 = -y + 4*u + 13, -3*y + o*y - 18 = 5*u. Let k(x) = 3 + 6*x - 13 + y. What is 5*k(t) - 7*s(t)?
2*t - 3
Let z(b) be the third derivative of b**2 + 0 + 1/8*b**4 + 7/6*b**3 + 0*b. Let h = 171 + -166. Let m(r) = r + 1. Calculate h*m(q) - z(q).
2*q - 2
Let c(l) = 196*l**3 + 5*l**2 - 5. Let o(d) = -1078*d**3 - 28*d**2 + 28. Calculate -28*c(g) - 5*o(g).
-98*g**3
Let j = -6 + 4. Let b be ((-9 - -5) + -2*15/(-6))*5. Let p(t) = 3*t**2 + 2*t. Let y(u) = 6*u**2 + 4*u. Determine b*p(m) + j*y(m).
3*m**2 + 2*m
Let t(i) = i**3 - 2*i. Let o be t(-2). Let g(y) = -55*y. Let s(w) be the second derivative of -5*w**3/6 - 5103*w. Calculate o*g(q) + 45*s(q).
-5*q
Let c(v) be the second derivative of -3*v**3/2 - 5*v**2/2 + 39*v. Let m(b) = 28*b + 4 + 7 + 5. Give -16*c(u) - 5*m(u).
4*u
Let m(u) = -41*u + 8. Let a(l) = 20*l - 4. Give -7*a(y) - 3*m(y).
-17*y + 4
Let h(n) = 10*n**3 + 65*n**2 + 65*n. Suppose 5*m = -2*u + 315, 5*m - 12*u + 8*u = 345. Let a(t) = -t**3 - 6*t**2 - 6*t. What is m*a(k) + 6*h(k)?
-5*k**3
Let n(z) = 171*z**2 - 4*z. Let g(u) = -1025*u**2 + 25*u. Calculate -4*g(k) - 25*n(k).
-175*k**2
Let u(j) = -2*j**2 + 5*j - 8. Let i(x) = -x**2 + 3*x - 4. Let b(g) = 5*i(g) - 3*u(g). Let l(y) = -3*y**2 - 11. Let d = 6941 + -6935. Calculate d*l(z) + 17*b(z).
-z**2 + 2
Let t(w) = -8*w + 10. Let s(y) = y - 1. What is -2*s(r) - t(r)?
6*r - 8
Let n(k) = -1829*k**3 + 2*k - 2. Let s(h) = 3659*h**3 - 5*h + 5. Determine 5*n(t) + 2*s(t).
-1827*t**3
Let p(c) = -c**3 + c**2 - c. Let a(k) = k**3 + 36*k**2 + k. Calculate a(f) + 2*p(f).
-f**3 + 38*f**2 - f
Let w(s) = s**3 - 2*s**2 - 2. Let u(y) = -y**2 - 1. Let i = -54 - -59. Let t be 28/i - ((-16)/(-10) + -2). Calculate t*u(a) - 3*w(a).
-3*a**3
Let a(o) be the second derivative of -o + 0 + 1/6*o**3 - o**2. Let b(h) = 6*h - 21. Let k(w) = 7*w - 25. Let t(p) = 6*b(p) - 5*k(p). Calculate a(g) - 3*t(g).
-2*g + 1
Let o(h) = 2*h + 4. Let y(s) = 2*s + 5. Let a(c) = -5*o(c) + 4*y(c). Let v(l) = 2*l. What is -a(d) - 2*v(d)?
-2*d
Let o(q) = -126*q + 11. Let n(k) = 25*k - 2. What is -11*n(h) - 2*o(h)?
-23*h
Let o(y) = -5*y**3 + 86*y**2 - 5*y + 6. Let n(i) = i**3 + i**2 + i - 1. Give -7*n(t) - o(t).
-2*t**3 - 93*t**2 - 2*t + 1
Let x = -267 - -272. Let b = -8 - -4. Let u(i) = -6*i + 1. Let g(w) = -7*w + 1. Determine b*g(f) + x*u(f).
-2*f + 1
Let p(j) = -296*j**2 - 3*j + 3. Let i(q) = -210755*q**2 - 2135*q + 2135. What is 3*i(k) - 2135*p(k)?
-305*k**2
Let n(i) be the second derivative of -4*i**4/3 + 3*i**2/2 + 28*i + 1. Let q(g) = -33*g**2 + 7. Determine 7*n(l) - 3*q(l).
-13*l**2
Let n(z) be the third derivative of -17*z**6/40 - 7*z**4/8 - 284*z**2. Let g(r) = 5*r**3 + 2*r. What is 21*g(h) + 2*n(h)?
3*h**3
Let y(c) = -c**2 - 2*c + 2. Let z(d) be the first derivative of 4*d**3/3 + 7*d**2/2 - 7*d - 4. Let s = -36 + 29. Give s*y(o) - 2*z(o).
-o**2
Let f(x) = 12*x**2 + 6*x + 13. Let g(c) = -35*c**2 - 17*c - 37. What is -17*f(n) - 6*g(n)?
6*n**2 + 1
Let f(c) be the third derivative of -7*c**5/60 + 5*c**4/24 - 5*c**3/6 - 27*c**2 + 16. Let g(p) = -3 - 3*p**2 + 3 + 2*p - 2. Give -2*f(i) + 5*g(i).
-i**2
Let h(l) = -l**2 + l - 1. Suppose -8*j + 3*d - 6 = -5*j, -3*d + 13 = 4*j. Let z(n) = -7*n**2 + 4*n - 4. Determine j*z(s) - 5*h(s).
-2*s**2 - s + 1
Let u be 2/12 - (-707)/(-606). Let k(x) = -x - 15. Let n(a) = 1. Calculate u*k(w) - 6*n(w).
w + 9
Suppose -15*x = 80 + 25. Let t = 7 + -3. Let i(m) = 2*m**2 - m. Let v(n) = 4*n**2 - n. Calculate t*v(c) + x*i(c).
2*c**2 + 3*c
Let r = -33 - -36. Let k(i) = -2*i + 1. Let p(q) = -q. Let v(d) = r*p(d) - k(d). Let n(u) = u - 2. Calculate n(z) - v(z).
2*z - 1
Let w(p) = -1. Let s(a) = 0 - 2 - 4*a - 2. Let v be 10/(20/(-90)*-9). Give v*w(i) - s(i).
4*i - 1
Let a(j) = 2*j**3 + 4*j**2 - 9*j + 7. Let l be (-100)/30 + 102/(-18). Let z(f) = -f**3 - 2*f**2 + 4*f - 3. What is l*z(i) - 4*a(i)?
i**3 + 2*i**2 - 1
Let d(r) = -11*r**2 - 5*r + 5. Let p(k) = -5*k**2 - 2*k + 2. Suppose 0 = -58*z + 71*z + 65. Give z*p(x) + 2*d(x).
3*x**2
Let b(y) be the second derivative of 11*y + 0 + 1/10*y**5 + 1/3*y**4 + 1/6*y**3 + 2*y**2. Let x(h) = 4*h**3 + 7*h**2 + 2*h + 7. Calculate -7*b(c) + 4*x(c).
2*c**3 + c
Let x(v) = -4*v + 9*v**2 + 6*v**2 + 7*v**2 - 3 - 27*v**2. Let u(g) = -g**2 - g - 1. Suppose -3*h = -3*q + 12, -q + 4*h = -h - 16. Calculate q*x(n) - 3*u(n).
-2*n**2 - n
Let m(l) = -36*l - 102. Let w(q) = -7*q - 21. Let o(v) = 5*m(v) - 24*w(v). Let y(j) = -j - 1. Determine o(a) - 6*y(a).
-6*a
Let o(a) = -11 - 29*a + 12*a + 9*a + 8. Let k(f) = f + 1. Let y be 32/((-12)/3) + 2. Determine y*k(z) - o(z).
2*z - 3
Let h = -18 - -7. Let w be -1 + 0 - (h + 11). Let u be w/3 + 44/6. Let c(p) = 6*p**3 - 7*p + 7. Let r(t) = 2*t**3 - 2*t + 2. Determine u*r(b) - 2*c(b).
2*b**3
Let n(t) = 2*t + 10. Let b be n(11). Let i(w) = 56*w - 2. Let f(x) = -19*x + 1. Let s(q) = -17*f(q) - 6*i(q). Let h(p) = -84*p - 32. What is b*s(u) - 5*h(u)?
4*u
Let u(j) = -5*j - 19. Let h(b) = -10*b - 39. Determine 3*h(r) - 5*u(r).
-5*r - 22
Let g(l) = -3. Let j(n) = 12*n - 2 - 11*n - 6. Give -11*g(r) + 4*j(r).
4*r + 1
Let r(k) = -k + 1077 - 1077 + k**2. Let z(p) = 8*p**2 - 7*p - 8 + 8. Determine 6*r(g) - z(g).
-2*g**2 + g
Let u(r) = 394*r + 32. Let p(j) = -98*j - 7. Determine -9*p(z) - 2*u(z).
94*z - 1
Let b(o) = o**2 + 6*o. Let f(v) = 4*v**2 + 11*v. What is -9*b(x) + 4*f(x)?
7*x**2 - 10*x
Let n(h) = -3*h. Let b(l) = -l - 2. Let k be 11/(-5) - (-15)/75. Let x be -6*-2*k/6. Let c be b(x). Let r(p) = -7*p. Determine c*r(v) - 5*n(v).
v
Let b(k) be the third derivative of -k**5/60 - k**4/24 - k**2. Let j = 1235 + -1238. Let f(l) = 2*l**2 + 2*l - 1. Calculate j*b(h) - f(h).
h**2 + h + 1
Suppose -j - q - 2 = 0, 2*j + 6 = 4*q - 8*q. Let z(h) = -h**3 + h**2 + h. Let n(b) = 2*b**3 - 5*b**2 - 4*b - 3. What is j*n(c) - 4*z(c)?
2*c**3 + c**2 + 3
Let z(q) = 16*q + 257. Let v(c) = -14*c - 257. Give 7*v(j) + 6*z(j).
-2*j - 257
Let n(l) = -18*l**2 - 40*l - 4. Let v(x) = 8*x**2 + 19*x + 1. Let r(q) = -6*n(q) - 13*v(q). Let w(b) = -2*b**2 + 4*b - 6. What is 3*r(p) + 5*w(p)?
2*p**2 - p + 3
Let r(s) = 10*s. Let y(o) be the third derivative of -1/12*o**4 + 0*o + 7*o**2 + 0*o**3 + 0. Calculate 4*r(c) + 22*y(c).
-4*c
Let n(y) = y - 1. Let u(v) = 6*v - 73. Give 4*n(l) - u(l).
-2*l + 69
Let j(q) = 3*q**2 - 14. Let h(f) = -f**2 - 129 + 59 + 69. Determine h(b) + j(b).
2*b**2 - 15
Suppose -201 = -26*p - 357. Let o(d) = -7*d - 2. Let l(i) = -13*i - 4. Suppose z + t = 12, -6*z + 2*z = -2*t - 42. What is p*l(g) + z*o(g)?
g + 2
Let n(f) = 4*f**2 + 72*f + 63. Let h be n(-17). Let v(y) = -2*y + 2. Let z(r) = 5*r - r - 4 - 3*r + 3*r. Determine h*v(i) - 3*z(i).
-2*i + 2
Let f = -795 - -801. Let o(c) = 2*c**2 + 15*c + 15. Let t(v) = -v**2 - 8*v - 8. Calculate f*o(s) + 11*t(s).
s**2 + 2*s + 2
Let g(p) = -2*p + 2. Let y(w) = -279*w + 4. Give 3*g(f) - y(f).
273*f + 2
Let h(r) = -r**3 - 9*r + 1. Let f(o) be the third derivative of -o**6/120 - o**4/3 + o**3/6 - 73*o**2. What is 6*f(y) - 5*h(y)?
-y**3 - 3*y + 1
Let r(z) = -27*z**2 - 15*z - 15. Let t be (-5 - 1/1)/((-6)/(-15)). Let m(y) = -7*y**2 - 4*y - 4. Calculate t*m(c) + 4*r(c).
-3*c**2
Let i(h) = -h**2 + h. Let n(j) = 2*j**3 + 6*j**2 - 6*j. Let g = -68 - -86. Suppose 3*y = -0*y + g. What is y*i(c) + n(c)?
2*c**3
Let d(a) = -21*a**2 + 11*a - 3. Let n(r) = -21*r**2 + 13*r - 2. Calculate -7*d(p) + 6*n(p).
21*p**2 + p + 9
Suppose 5*n - 3*t + 7 = -5*t, 0 = -5*n + 4*t - 31. Let w(f) = 3*f - 5*f**2 + 30*f - 7*f**3 - 29*f. Let g(k) = 6*k**3 + 4*k**2 - 3*k. Determine n*w(p) - 4*g(p).
-3*p**3 - p**2
Let s(a) = -a + 8. Let p(l) be the first derivative of l - 19. Determine 5*p(m) - s(m).
m - 3
Let x(o) = 3*o - 5. Let z(v) = 2*v - 3. Let l = 217 - 209. Calculate l*z(k) - 5*x(k).
k + 1
Let f = 10 - 7. Let a(c) = -3*c + 42 - 12 - 29 - c. Let j(z) = -11*z + 2. What is f*j(r) - 8*a(r)?
-r - 2
Let m(z) = -10*z - 7*z - 7*z - 4*z + 30*z. Let i(u) = -u. Suppose 3*r + 2 = 11. Suppose 0 = -4*a, -2*y + a - r*a = -4. Give y*m(q) + 5*i(q).
-q
Let p(k) = -3*k**2 + 4*k - 10. Let a(u) = 2*u**2 - 5*u + 9. Let f(l) = 2*l**2 - 6*l + 10. Let y(q) = -3*a(q) + 2*f(q). Calculat
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{
"pile_set_name": "DM Mathematics"
}
|
0010?
-112002
In base 6, what is -1 - -15?
14
In base 15, what is 1e4 + -4?
1e0
In base 10, what is -2 - -512?
510
In base 8, what is -14623 - -4?
-14617
In base 6, what is 2 - 205?
-203
In base 3, what is 10021 - 12?
10002
In base 16, what is -d - c?
-19
In base 7, what is 1360 + 14?
1404
In base 14, what is 20 + 24?
44
In base 8, what is 2 - 253?
-251
In base 5, what is -3431 - 2?
-3433
In base 16, what is -634 - -3?
-631
In base 5, what is -11403 - -2?
-11401
In base 3, what is -10 + -1212001?
-1212011
In base 13, what is 3 + -bb1?
-bab
In base 9, what is -6 + -36?
-43
In base 14, what is -20 + -4?
-24
In base 16, what is -68 - -b1?
49
In base 5, what is 2 - 2243?
-2241
In base 6, what is -23 + -4?
-31
In base 3, what is 11 - -1012001?
1012012
In base 12, what is 4 - 165?
-161
In base 4, what is 103 + 1030?
1133
In base 14, what is -44 - -1?
-43
In base 12, what is 13 - -a?
21
In base 2, what is -1001100110 - -1?
-1001100101
In base 8, what is 10 + 0?
10
In base 3, what is 10 + -1222?
-1212
In base 5, what is -3 - 0?
-3
In base 3, what is -1 + -1122?
-1200
In base 12, what is -4 + 713?
70b
In base 15, what is -187 - 5?
-18c
In base 3, what is 12 + -1011?
-222
In base 13, what is -5 + 417?
412
In base 11, what is -5 - 3821?
-3826
In base 7, what is -24 - 103?
-130
In base 3, what is 221 + -110?
111
In base 5, what is -10 - 13?
-23
In base 5, what is 30 + 2?
32
In base 2, what is 1 - 111011?
-111010
In base 16, what is -4 + -9b?
-9f
In base 3, what is -20 + 21?
1
In base 12, what is -1994 + -3?
-1997
In base 10, what is 2 - 69?
-67
In base 4, what is -32331 - 13?
-33010
In base 2, what is 1000000 + -11?
111101
In base 13, what is -15 + -47?
-5c
In base 4, what is 3 - 102?
-33
In base 5, what is 11110 + -11?
11044
In base 7, what is 53 + 2?
55
In base 10, what is 3 - 0?
3
In base 11, what is 5 + 1551?
1556
In base 10, what is -827 + 10?
-817
In base 8, what is -4 + -1572?
-1576
In base 9, what is -188 + 2?
-186
In base 10, what is 969 - 3?
966
In base 10, what is -5 + -279?
-284
In base 15, what is 2bb + 7?
2c3
In base 9, what is -1211 - 0?
-1211
In base 7, what is 35 - -2?
40
In base 2, what is -1001000 + 110?
-1000010
In base 8, what is -621 + -2?
-623
In base 2, what is 10 + 100111101?
100111111
In base 6, what is 0 - -45230?
45230
In base 15, what is -16 - -ee?
d8
In base 16, what is 4 - f?
-b
In base 2, what is 100 + -10001011?
-10000111
In base 2, what is 10 + -1001?
-111
In base 11, what is 52 + 51?
a3
In base 4, what is 2110020 + 10?
2110030
In base 14, what is 3 - 438?
-435
In base 13, what is -a4 - 19?
-c0
In base 6, what is 5 + 544?
553
In base 5, what is 41 - -11?
102
In base 12, what is 7272 + 5?
7277
In base 7, what is 4 + 522?
526
In base 2, what is 110 - 1011010?
-1010100
In base 14, what is 49 - 2?
47
In base 10, what is 660 + -2?
658
In base 7, what is -3 - 120?
-123
In base 12, what is 2242 + 3?
2245
In base 12, what is 1 - -b6?
b7
In base 13, what is -10 - 11?
-21
In base 4, what is 30 + 133?
223
In base 12, what is 1082 - -1?
1083
In base 16, what is -65 - -5?
-60
In base 9, what is 4280 - 3?
4276
In base 8, what is 5 - 33?
-26
In base 8, what is 24746 + 1?
24747
In base 10, what is -5 - 876?
-881
In base 7, what is 12 - -246?
261
In base 6, what is -4 - -205?
201
In base 4, what is -203 - -10213?
10010
In base 9, what is -704 - 1?
-705
In base 6, what is 2 + 5140?
5142
In base 13, what is 2 + -c7?
-c5
In base 16, what is -661 + 0?
-661
In base 6, what is 130414 + 1?
130415
In base 6, what is 5153 - 3?
5150
In base 11, what is 3910 - 3?
3908
In base 11, what is 1 + -36?
-35
In base 12, what is -5 + 1192?
1189
In base 10, what is -2 - 942?
-944
In base 15, what is 4 + -1b2e?
-1b2a
In base 6, what is 2 - -4520?
4522
In base 16, what is 203e - 5?
2039
In base 5, what is 4 - -433?
442
In base 12, what is 346 - 3?
343
In base 12, what is -18 - 0?
-18
In base 15, what is -1 - -33b?
33a
In base 8, what is 472 - 2?
470
In base 7, what is -1550 + 2?
-1545
In base 10, what is -3 - 232?
-235
In base 4, what is -2 + 3320?
3312
In base 8, what is 5 + 21?
26
In base 7, what is 46 - 45?
1
In base 3, what is -102 - -1010?
201
In base 4, what is -1 - 113100?
-113101
In base 5, what is 2133 + -22?
2111
In base 11, what is 5 - 1994?
-198a
In base 5, what is -2 - -402?
400
In base 3, what is 2 + -111010?
-111001
In base 5, what is 1102 - -1240?
2342
In base 10, what is -1787 + 2?
-1785
In base 11, what is 23a + 1?
240
In base 3, what is 11 - 20211?
-20200
In base 14, what is 8d - -30?
bd
In base 10, what is -189 + 0?
-189
In base 10, what is -2 - -38?
36
In base 12, what is -1 + 1a?
19
In base 4, what is -3013332 + 1?
-3013331
In base 15, what is -3 + -35?
-38
In base 14, what is 1 + -86?
-85
In base 16, what is -2 + -1e1?
-1e3
In base 16, what is -1c7 - 5?
-1cc
In base 4, what is 12 - -11?
23
In base 11, what is 91 - -26?
107
In base 8, what is -277 + 1?
-276
In base 15, what is 2c2 - -2?
2c4
In base 15, what is 1ac3 - 2?
1ac1
In base 2, what is -10111 - 10?
-11001
In base 16, what is 11 - -101?
112
In base 15, what is 11a + 4?
11e
In base 6, what is -2 + -3?
-5
In base 6, what is -5 - -2145?
2140
In base 7, what is 5 + -325?
-320
In base 6, what is -501 - -53?
-404
In base 14, what is 13 - 44?
-31
In base 10, what is -574 + 2?
-572
In base 7, what is -2 + 2021?
2016
In base 13, what is 7 + 16?
20
In base 2, what is -100 + -101000?
-101100
In base 9, what is 27 + -21?
6
In base 5, what is 2224 - -20?
2244
In base 11, what is -3 - 63?
-66
In base 10, what is -6 - 27?
-33
In base 13, what is 2 - -50?
52
In base 12, what is -2430 + -5?
-2435
In base 4, what is 103322 - -13?
110001
In base 13, what is 44 + -7?
3a
In base 5, what is -3 + -10?
-13
In base 6, what is 5253 + 1?
5254
In base 5, what is -31110 - 14?
-31124
In base 3, what is 10 + 1202220?
1210000
In base 5, what is 10 - -1332?
1342
In base 12, what is -4058 + 0?
-4058
In base 3, what is -2 - 1211112?
-1211121
In base 10, what is -5021 + -5?
-5026
In base 5, what is -241 - -2?
-234
In base 7, what is -224 + -20?
-244
In base 2, what is 11000 + 101?
11101
In base 12, what is 113 + 55?
168
In base 11, what is -140 - 0?
-140
In base 6, what is -11252 + 1?
-11251
In base 9, what is 4 + 12334?
12338
In base 7, what is -5 - 5031?
-5036
In base 11, what is 1 + -a0?
-9a
In base 6, what is -41 - 4?
-45
In base 3, what is 11102 - -101?
11210
In base 14, what is -3 - -16?
13
In base 3, what is -20 + -211212?
-212002
In base 15, what is -44a0 - 3?
-44a3
In base 16, what is b1 + 19?
ca
In base 12, what is 0 - -127?
127
In base 5, what is 4 + 111?
120
In base 14, what is -1d7 - -3?
-1d4
In base 15, what is a3 - -6?
a9
In base 2, what is -1011111 + 110?
-1011001
In base 14, what is -c + -1?
-d
In base 14, what is 1b + -9b?
-80
In base 10, what is -8 + 368?
360
In base 4, what is -11 + -112012?
-112023
In base 3, what is -1221 - -10?
-1211
In base 14, what is -1 + 2bd?
2bc
In base 16, what is -c0b + -4?
-c0f
In base 11, what is -26 + -29?
-54
In base 13, what is -5 + 45?
40
In base 6, what is -31 - 3?
-34
In base 15, what is -5 - -408?
403
In base 7, what is 356 + 50?
436
In base 4, what is -121030 - -1?
-121023
In base 11, what is -4 - -639?
635
In base 4, what is 31321 + -10?
31311
In base 10, what is 3048 - 3?
3045
In base 14, what is -2 + 78?
76
In base 9, what is 625 + 3?
628
In base 6, what is 2122 + 2?
2124
In base 7, what is -125 - 16?
-144
In base 2, what is -100 + -110110?
-111010
In base 12, what is 406 - -4?
40a
In base 13, what is 152a - -5?
1532
In base 8, what is -13 + 54?
41
In base 12, what is -a7 - 68?
-153
In base 2, what is 1011 + -100?
111
In base 4, what is 13021103 + -1?
13021102
In base 6, what is -2334 + 4?
-2330
In base 7, what is -1001 - -11?
-660
In base 5, what is 141010 + 3?
141013
In base 2, what is -100 + 101010000?
101001100
In base 11, what is 309 - 5?
304
In base 11, what is -870 - -4?
-867
In base 2, what is 10 + -1000?
-110
In base 13, what is -83c + -4?
-843
In base 11, what is -2043 + 0?
-2043
In base 7, what is -4 - 34?
-41
In base 8, what is 1434 - 2?
1432
In base 14, what is -51d + -5?
-524
In base 5, what is -10 - 440?
-1000
In base 16, what is 1f9 - 3?
1f6
In base 16, what is -10 - 28?
-38
In base 13, what is -5 - -23?
1b
In base 4, what is 33021 + -1?
|
{
"pile_set_name": "DM Mathematics"
}
|
1)*6*4.
8*sqrt(5)
Simplify -3*(-1*sqrt(1088))**2*-6*6.
117504
Simplify (sqrt(15)/sqrt(5) + 1 - (sqrt(432) - sqrt(3))) + -4*(sqrt(21)/sqrt(7) + -1) + 5.
-14*sqrt(3) + 10
Simplify (sqrt(99) - ((sqrt(99)*-2 + sqrt(99) - sqrt(99)) + sqrt(99)) - sqrt(99))/sqrt(9)*-3 - sqrt(77)/(sqrt(28)/sqrt(4)*1).
-4*sqrt(11)
Simplify ((-2*(sqrt(136)*-1 + sqrt(136) + sqrt(136))*-2)/(2*sqrt(8)*2 - (sqrt(8) + -6*(sqrt(128) + sqrt(8)))))**2.
272/1089
Simplify (-5*sqrt(170)*-1 + (-1*sqrt(170) - sqrt(170))*-2)/(1*sqrt(90)*-6 + sqrt(90)).
-3*sqrt(17)/5
Simplify (1*sqrt(26)/sqrt(2)*-5 - (sqrt(52) + -1 - (sqrt(65) - (sqrt(65) - sqrt(65)*-2))/sqrt(5)))**2.
-18*sqrt(13) + 1054
Simplify -1 + ((sqrt(2592) - ((sqrt(2592) - (sqrt(2592) + (sqrt(2592) - (sqrt(2592) + -1 - sqrt(2592))))) + 0)) + 1)**2.
288*sqrt(2) + 10371
Simplify 3 + ((3*-1*sqrt(7)*-1)**2 - (-4*2*sqrt(448) + sqrt(448))).
66 + 56*sqrt(7)
Simplify ((-2*sqrt(72))/sqrt(9) + sqrt(8))/sqrt(4) + sqrt(12)/(sqrt(6)*3) + sqrt(2) + 3.
sqrt(2)/3 + 3
Simplify (sqrt(539) - ((sqrt(539) - (sqrt(539) + 1)) + -5)) + ((sqrt(539) + 0)*6 - sqrt(539)) - (-3*-2*sqrt(121))/(sqrt(22)/sqrt(2)*3).
6 + 40*sqrt(11)
Simplify (sqrt(6)/sqrt(2) + 4 + sqrt(3) - sqrt(3) - sqrt(9)/sqrt(12)) + (3 + sqrt(3)*1)*1.
3*sqrt(3)/2 + 7
Simplify (5*(sqrt(272) - -5*(sqrt(272) + -1*sqrt(272)) - 5*(sqrt(272) - 2*sqrt(272))))**2.
244800
Simplify ((-2*sqrt(1008) + sqrt(378)/(sqrt(6)*-1))/((1*sqrt(81)*4)/sqrt(9)) + -1)**2.
9*sqrt(7)/2 + 583/16
Simplify (4*sqrt(7)*-2)**2 + -4*sqrt(28) - (sqrt(567) + (sqrt(567) - 1*-1*sqrt(567)) + 5).
-35*sqrt(7) + 443
Simplify (-1*(0 + sqrt(396)) - sqrt(66)/(sqrt(6)*2 + sqrt(6))*6)**2.
704
Simplify ((-6*-2*sqrt(1080) + sqrt(1080))/(sqrt(294) - (sqrt(294)*2*-1 + sqrt(294) + sqrt(294))))**2.
30420/49
Simplify ((1 + sqrt(98) + sqrt(98) + -2 + sqrt(98) + sqrt(2))*3 + 0)*-3.
-198*sqrt(2) + 9
Simplify (0 + sqrt(275))**2 + 2 + 5 + (-4*(sqrt(198) + sqrt(22)))/(sqrt(4)/(sqrt(8)/sqrt(4))).
-16*sqrt(11) + 282
Simplify -1*(-6*(2 + sqrt(304) + 1)*5 + -2).
92 + 120*sqrt(19)
Simplify (-5*(-1 + 5 + -3*(sqrt(1584) - (0 + sqrt(1584)) - sqrt(1584)) + -3))**2.
1800*sqrt(11) + 356425
Simplify (-1*(-1 + sqrt(2299) + sqrt(304) + -3 + (sqrt(190)/(sqrt(70)/sqrt(7)) - sqrt(19))*2))**2.
-120*sqrt(19) + 4291
Simplify (sqrt(98) + 0 + 6*(2 + sqrt(2)) + -6*((sqrt(128) - (sqrt(128) + 0))*6 - sqrt(128)))**2.
1464*sqrt(2) + 7586
Simplify 1*-6*(sqrt(462)/(sqrt(33)/sqrt(3)))/sqrt(6)*6.
-36*sqrt(7)
Simplify 5 + -1 + sqrt(1216) + (4*sqrt(57)/sqrt(3))**2 + ((sqrt(171) + -3)**2 - ((sqrt(304) + 1 + sqrt(19))**2 + sqrt(19))).
-21*sqrt(19) + 12
Simplify ((sqrt(117) + 0 + -5 - (sqrt(117) - (sqrt(117) - (sqrt(117) - ((sqrt(117) - (sqrt(117) + -1)) + sqrt(117)))*3))**2)*5 + 0)*5.
-350 + 75*sqrt(13)
Simplify ((sqrt(475) + (-1*sqrt(475) + sqrt(475) - sqrt(475)) + -5 - sqrt(475)) + 1 + 0)**2.
40*sqrt(19) + 491
Simplify (sqrt(187)*-1*2 + 2*sqrt(187)*-2)/(sqrt(176) + (sqrt(176) - 2*sqrt(176))*5).
3*sqrt(17)/8
Simplify (-4*sqrt(132)*1)/(-1*(3*sqrt(704) + sqrt(11))).
8*sqrt(3)/25
Simplify 5 + (-5*(sqrt(119) + -2*sqrt(119)))/(sqrt(847)*2 + sqrt(847)).
5*sqrt(17)/33 + 5
Simplify -3*(-2*(0 + sqrt(1872)))**2 + -4*2*(sqrt(156)*2)/sqrt(12).
-22464 - 16*sqrt(13)
Simplify (sqrt(6)/(sqrt(2) + (sqrt(2) - sqrt(72)/sqrt(4))) - -6*sqrt(15)/(2*sqrt(5)))*6.
12*sqrt(3)
Simplify 1*-2*(-2 + sqrt(1900))*-5.
-20 + 100*sqrt(19)
Simplify (sqrt(4500) - -3*-1*sqrt(4500))/((sqrt(225) - (-6*sqrt(225)*-2 + sqrt(225) + sqrt(225) + sqrt(225) + sqrt(225))) + sqrt(225)).
2*sqrt(5)/7
Simplify (((sqrt(78) + 2*sqrt(78) + sqrt(78))*-4 - sqrt(78))*5)/(-3*(sqrt(54) + sqrt(270)/sqrt(5) - sqrt(54))).
85*sqrt(13)/9
Simplify ((sqrt(504) - -1*sqrt(504) - sqrt(504))*3)/(sqrt(288) - sqrt(288)*-2*-6).
-3*sqrt(7)/22
Simplify ((sqrt(304) - ((-1*sqrt(304) - sqrt(304)) + sqrt(304)) - sqrt(304))*5 - (sqrt(475) - sqrt(475)*1)*1)**2.
7600
Simplify (-4 + -2 + sqrt(832)*1)**2 - ((sqrt(13) - -3*sqrt(1872) - sqrt(13)) + (sqrt(52)/sqrt(4)*5)**2).
-132*sqrt(13) + 543
Simplify ((sqrt(198)/sqrt(6))/sqrt(11))**2*-5 - (4 + 2 + sqrt(6)/sqrt(2))**2.
-54 - 12*sqrt(3)
Simplify -2*(-3*sqrt(180)/sqrt(108))/(2*sqrt(125) - -3*-1*sqrt(5)).
2*sqrt(3)/7
Simplify ((sqrt(200) + 1)*1)**2 - (((2 + sqrt(200))*-4 + sqrt(200) + sqrt(200) + sqrt(200))**2 - sqrt(200)) - (-4 + 2 + sqrt(200) + -4).
-140*sqrt(2) - 57
Simplify (0 + (1*sqrt(4114)*-3)/(sqrt(16)/(sqrt(392)*-1)))**2.
907137
Simplify -1 + sqrt(68) + 0 + (sqrt(17) - (sqrt(17) + sqrt(85)/sqrt(5)*3)**2)*5.
-1361 + 7*sqrt(17)
Simplify (-3 + -3*(sqrt(11) + 1 + sqrt(22)/sqrt(2)) + 0)**2.
72*sqrt(11) + 432
Simplify ((sqrt(1584) + 1 + -3 + 3 + 3)*-4)**2.
1536*sqrt(11) + 25600
Simplify (-2*sqrt(612)*-2 - ((sqrt(612) + -2)*4 + sqrt(612)))**2 - 3*(sqrt(612)*-1)**2*1.
-1160 - 96*sqrt(17)
Simplify -2*(sqrt(1573) + -3)*6*-5 + -1.
-181 + 660*sqrt(13)
Simplify -1 + 6*sqrt(68)*-2*-3 + 3.
2 + 72*sqrt(17)
Simplify (5 + ((sqrt(1300) + -1)*-4 - -6*(-1 + sqrt(1300) + sqrt(1300))))**2.
480*sqrt(13) + 83209
Simplify -4 + ((sqrt(209) - -1*sqrt(209)*-3)/(sqrt(44)/sqrt(4)*6))**2.
-17/9
Simplify (-3 + (sqrt(3) - -2*sqrt(3)))*-4 + ((sqrt(243) + 1 + sqrt(243))*6)**2.
1284*sqrt(3) + 35040
Simplify ((1*sqrt(704) + sqrt(704) - sqrt(704))**2 - (sqrt(891)*-2)**2 - ((sqrt(1100) + 0 - sqrt(1100))**2 - (sqrt(44) + -1))) + 1.
-2860 + 2*sqrt(11)
Simplify 3 + (sqrt(343) - (-3*(1 + sqrt(343)) - sqrt(343))**2) + sqrt(343) + 5*(sqrt(343) + 1).
-5489 - 119*sqrt(7)
Simplify 5*(sqrt(931) + sqrt(931)*-1 + 5 - 2*sqrt(931)*3)*3.
-630*sqrt(19) + 75
Simplify (((1 + sqrt(208))*3 - (sqrt(208) - (sqrt(208) + sqrt(208)*2 + -2))) + -3)**2.
-80*sqrt(13) + 5204
Simplify (-5*sqrt(684)*-1 + 5 + sqrt(684)*1)**2.
360*sqrt(19) + 24649
Simplify -3*((sqrt(3) + sqrt(588)/sqrt(4) + sqrt(3))**2 - (sqrt(33) + (sqrt(33) - (sqrt(33) + sqrt(165)/sqrt(5))) - sqrt(33))/sqrt(11)).
-729 - 3*sqrt(3)
Simplify (0 + -3*(-2 + sqrt(175)*1))**2 + 2.
-180*sqrt(7) + 1613
Simplify ((sqrt(1700) - (4 + 2*sqrt(1700)) - (sqrt(1700) + (sqrt(1700) + sqrt(1700)*-2)*-1)) + -3)**2 + 5 + 5.
420*sqrt(17) + 15359
Simplify (sqrt(170) + (sqrt(170) - 2*sqrt(170)*2 - sqrt(170)) + sqrt(170) + sqrt(170))/(sqrt(50)/sqrt(5)*-3)*-3.
-sqrt(17)
Simplify 0 + (4 + (sqrt(3)*1 + -3 - sqrt(3)) - (sqrt(9)/sqrt(3) + 0 - sqrt(9)/sqrt(3)*4))**2.
6*sqrt(3) + 28
Simplify (sqrt(7344) - 2*sqrt(7344))/(sqrt(108)*-5)*2.
4*sqrt(17)/5
Simplify (sqrt(77)*2*-3 - 1*sqrt(77)*2)/(sqrt(99)*-1 - sqrt(11) - -1*sqrt(99)).
8*sqrt(7)
Simplify (-3*(sqrt(128)*1*5 - sqrt(128)))/(sqrt(100)*2*1).
-24*sqrt(2)/5
Simplify ((sqrt(22) + sqrt(22) + sqrt(110)/(sqrt(35)/sqrt(7)))/((3*sqrt(55) - sqrt(55))/sqrt(5)))**2.
9/2
Simplify (5*sqrt(600)/(sqrt(12)*1))/(sqrt(70)/(sqrt(28)/(sqrt(4) + sqrt(12)/sqrt(3)))).
5*sqrt(5)/2
Simplify (3 + (sqrt(65) + 5*(sqrt(65)*-2 + sqrt(65) + sqrt(65)) + sqrt(65))/sqrt(5))*1.
3 + 2*sqrt(13)
Simplify (sqrt(143) - (sqrt(143) - sqrt(143)*-2*-3 - sqrt(143)))/((sqrt(77)/sqrt(7) + sqrt(11))*5).
7*sqrt(13)/10
Simplify (sqrt(99)/((sqrt(576) - -1*sqrt(576) - sqrt(576)) + sqrt(576) - sqrt(576)) + (0 + sqrt(22)/sqrt(2))*-4)**2.
10571/64
Simplify (6*-6*sqrt(65)*-2)/(sqrt(5) + sqrt(125)*-2 + sqrt(125) - sqrt(400)/sqrt(5)).
-9*sqrt(13)
Simplify (((sqrt(104) - (sqrt(104)*-1 + sqrt(104) + sqrt(104) + sqrt(104)))/sqrt(8) - 1*sqrt(117)) + sqrt(975)/sqrt(3) + sqrt(143)/(sqrt(33)/sqrt(3)))**2.
52
Simplify 5*(3 + sqrt(119)/sqrt(7) + sqrt(34)/sqrt(2) + -2)*-5.
-50*sqrt(17) - 25
Simplify ((sqrt(91)*-3*-6)/sqrt(7)*2*-1)**2.
16848
Simplify (sqrt(250) - ((sqrt(250) - 3*sqrt(250))*3 + sqrt(250)))/sqrt(5)*1.
30*sqrt(2)
Simplify (1*(2*sqrt(12)*-3 - sqrt(12) - sqrt(12)))/((5*2*sqrt(64) - sqrt(64)) + sqrt(64) + sqrt(64) + sqrt(64)).
-sqrt(3)/6
Simplify ((sqrt(24)/(sqrt(40)/sqrt(5)) - (sqrt(12)/sqrt(4) + 3)) + 6*(2 + sqrt(12)/sqrt(4)))**2.
108*sqrt(3) + 189
Simplify sqrt(1152)*-1 + 4*(sqrt(16) - (sqrt(16) + (sqrt(16) - 1*sqrt(16))))/sqrt(8).
-24*sqrt(2)
Simplify sqrt(35)/(sqrt(25)/sqrt(5))*-3 - (sqrt(70)/(sqrt(640) - (sqrt(640) + -2*sqrt(640))))**2.
-3*sqrt(7) - 7/256
Simplify -5*(((2*sqrt(64))/sqrt(4))/sqrt(2) + sqrt(8)*-1 + 5 + -3)**2.
-60 - 40*sqrt(2)
Simplify (-3*-6*(sqrt(156) + 4*sqrt(156)))/(sqrt(60)/(2*sqrt(720) - sqrt(5))).
2070*sqrt(13)
Simplify 5 + 6*(-1*sqrt(1573))**2*-2.
-18871
Simplify (4*sqrt(88))/(sqrt(11) + sqrt(33)/sqrt(27) - sqrt(11
|
{
"pile_set_name": "DM Mathematics"
}
|
5*h + 5. Let p(k) = 1. Let l(y) = -5*p(y) + w(y). What is the second derivative of l(m) wrt m?
16
Let i = -93/2 - -48. Let l(n) be the second derivative of i*n**2 + 0*n**3 + 0*n**5 + n + 0*n**4 + 0 - 1/30*n**6. Differentiate l(b) with respect to b.
-4*b**3
Find the second derivative of 9*v**2 + 8*v**2 - 15*v - v**2 + v wrt v.
32
Find the first derivative of -10*h + 4 - 4*h + 7*h + 10 wrt h.
-7
Let i(d) = 1. Let o(h) = -8*h. Let v be 1/(-2) - (-22)/4. Let r(w) = v*i(w) + o(w). What is the derivative of r(t) wrt t?
-8
Suppose 8 - 20 = -2*g. What is the third derivative of -4*x**2 + x**6 - 4*x**2 - 3*x**g + 5*x**2 wrt x?
-240*x**3
Let c(g) = -3*g + 8. Let r(t) = -2*t + 7. Let m(k) = 3*c(k) - 4*r(k). Differentiate m(j) with respect to j.
-1
Let c(g) = 13*g**4 - 2*g**3 - 7*g + 2. Let z(s) = -27*s**4 + 5*s**3 + 14*s - 5. Let y(d) = -5*c(d) - 2*z(d). What is the second derivative of y(w) wrt w?
-132*w**2
Differentiate 10 + 6*p**3 - 8 - p**3 wrt p.
15*p**2
Suppose 9*v - 4 = 7*v. Differentiate -4*f**v + 3*f**3 + 3*f**2 + f**2 + 4 wrt f.
9*f**2
Let n(r) be the third derivative of -3*r**6/8 + 7*r**5/15 + 21*r**2. Find the third derivative of n(j) wrt j.
-270
Let s(h) = 15*h + 7. Let b(p) = 8*p + 4. Let t(i) = 5*b(i) - 3*s(i). Differentiate t(l) with respect to l.
-5
Find the first derivative of -4*n**3 - 234 + 231 - 3*n + 3*n wrt n.
-12*n**2
Let s(t) be the third derivative of -t**6/40 + t**4/12 - 3*t**2. What is the second derivative of s(d) wrt d?
-18*d
Suppose -4*c = c - 10. Find the third derivative of -1 + 6*z**2 + 1 - 2*z**2 - c*z**5 wrt z.
-120*z**2
Let x be (-2)/(-3) - (-7)/3. What is the third derivative of -4*q - q**2 - x*q**5 + 4*q wrt q?
-180*q**2
Suppose -s = -m - 2, -5*m = -s - 0*s - 2. Suppose f + 13 = 3*y, 2*f - s*y = -6 - 5. Find the second derivative of -3*q**4 - 19*q**2 + 19*q**f + 2*q wrt q.
-36*q**2
Let j(c) = 3*c**2 + c - 4 + c - 2*c**2 + 2. Let h(o) = -5*o**2 - 11*o + 10. Let v(l) = 2*h(l) + 11*j(l). Find the first derivative of v(a) wrt a.
2*a
Let k(w) be the third derivative of w**8/560 + w**4/8 + w**3/6 + 3*w**2. Let f(c) be the first derivative of k(c). What is the first derivative of f(i) wrt i?
12*i**3
Suppose 0 = h - 3 - 1. Find the third derivative of -3*g**4 + 6*g**4 - 4*g**4 - 2*g**4 + h*g**2 wrt g.
-72*g
Suppose 0 = -4*j - 23 + 63. What is the second derivative of -2*g - g**3 + j*g + 0*g**3 + 4*g**3 wrt g?
18*g
Find the second derivative of 3 + 14*h - 1 - 15*h**2 - 2 wrt h.
-30
Let z(k) = 11*k**2 - 8*k - 3. Let p(r) = -11*r**2 + 9*r + 2. Let w(o) = -3*p(o) - 2*z(o). What is the second derivative of w(y) wrt y?
22
Let t(z) = -4*z**3 - 5*z**3 + 6 + 1 - 9*z. Let k = -26 + 19. Let w(o) = 4*o**3 + 4*o - 3. Let i(f) = k*w(f) - 3*t(f). Find the second derivative of i(v) wrt v.
-6*v
Let a(l) = -l**3 + 15*l**2 - 15*l + 16. Let p be a(14). What is the derivative of 8*x**2 + 57*x - p - 57*x wrt x?
16*x
Let z be (-2)/9 - (-92)/9. Let g be (z/(-15))/(2/(-18)). What is the first derivative of -3 + g*o + 3*o**2 - 6*o wrt o?
6*o
Let k(z) be the third derivative of 3*z**8/28 + 4*z**5/15 - 20*z**2. Find the third derivative of k(y) wrt y.
2160*y**2
Let g(x) be the first derivative of 6*x**4 + 21*x**2 + 41. Find the second derivative of g(m) wrt m.
144*m
Let v(l) = l**3 + 5*l**2 + 4*l - 1. Let b be v(-3). What is the second derivative of c**2 + 5*c + 0*c**2 + b*c**2 + 3*c**2 wrt c?
18
Let m(w) be the third derivative of 1/12*w**5 + 0*w**3 + 0 + 0*w - 1/4*w**4 + 2*w**2. Find the second derivative of m(l) wrt l.
10
Let x(a) be the third derivative of 19*a**6/40 - 7*a**4/6 + 8*a**2. Find the second derivative of x(g) wrt g.
342*g
Let u(f) be the third derivative of 0 + 0*f - 1/6*f**3 + 1/12*f**4 - f**2. What is the derivative of u(w) wrt w?
2
Let w(u) = u**3 - 16*u**2 - u + 21. Let b be w(16). What is the first derivative of -l**2 - 6 - 7*l**2 + b*l**2 wrt l?
-6*l
Let s be ((-24)/9)/(4/(-6)). Suppose 0 = -2*k - 2*v - 4 + 16, -s*k = v - 12. What is the third derivative of -2*i**k - 2*i**2 + 3*i**2 + 2*i**6 wrt i?
240*i**3
Let b(m) = -4*m - 1. Let x be b(-1). Let o = 28 - 26. What is the first derivative of -3*p**2 + x*p + 3 - o*p - p wrt p?
-6*p
Suppose -5*j = -l + 1, -3 = -2*j - 2*l - 1. Suppose -2 = -0*b - b. What is the second derivative of -b*z**4 + j*z**4 + 3*z - 6*z wrt z?
-24*z**2
Let b(w) be the second derivative of 19*w**8/56 + w**4 - w. What is the third derivative of b(s) wrt s?
2280*s**3
Let w(v) be the second derivative of 0 + 1/2*v**2 + v - 1/6*v**3. What is the derivative of w(i) wrt i?
-1
Let j be 1*5 - (0 + 2). Let h = -18 + 20. Differentiate -3*m**2 + m**h + j*m**2 - 2 with respect to m.
2*m
Suppose 0*o - 2*o + 4*u - 8 = 0, 0 = -2*o + 3*u - 5. What is the second derivative of -m + m**o - 2*m**2 - m**2 wrt m?
-4
Let f(t) = -11*t**3 + 7*t + 6. Let j(u) = -22*u**3 + 13*u + 11. Let w(d) = 11*f(d) - 6*j(d). What is the second derivative of w(h) wrt h?
66*h
Suppose -4*d + 2 = -10. What is the derivative of 2*f**d - 1 + f**3 - f**3 wrt f?
6*f**2
Let o be 1/((-3)/(-3*2)). What is the third derivative of 3*c**4 - 5*c**4 + 3*c**o - c**4 + 0*c**2 wrt c?
-72*c
Let u(a) = a**3 + 9*a**2 + 7*a - 6. Let h be u(-8). Suppose -h*j - 3 = -3*j. Differentiate -6*b + 6*b + j*b**3 - 3 with respect to b.
9*b**2
Let l be (-2)/(1 + (-5)/3). Let a(z) be the first derivative of 0*z**l + 1 + z**2 + 0*z + 1/4*z**4. What is the second derivative of a(i) wrt i?
6*i
Let g(o) be the second derivative of -o**9/15120 - o**5/40 + 5*o**4/12 - 5*o. Let f(m) be the third derivative of g(m). Differentiate f(z) with respect to z.
-4*z**3
Let a(f) be the third derivative of f**5/15 + 13*f**3/6 - 55*f**2. Differentiate a(m) wrt m.
8*m
Let r(x) = 3*x**2 + 2*x - 4. Let j(b) = 9*b**2 + 7*b - 13. Let c(i) = 4*j(i) - 14*r(i). Find the first derivative of c(g) wrt g.
-12*g
Let h(z) = -z + 18. Let p be h(13). What is the derivative of 2 - 3*k**3 - p - 2 wrt k?
-9*k**2
What is the first derivative of 4 + 1046*b + 3*b**3 - b**3 + 1 - 1064*b wrt b?
6*b**2 - 18
Let x(v) be the third derivative of -v**9/126 - 11*v**5/30 + 24*v**2. What is the third derivative of x(m) wrt m?
-480*m**3
What is the derivative of -7*n**3 - 122 - 2*n**3 + 202 + n**2 - 102 wrt n?
-27*n**2 + 2*n
Let z(i) = 5 + 4*i - 3*i + 6 - 3. Let k be z(-6). What is the second derivative of -b - b**2 + 2*b - k*b**2 wrt b?
-6
Let a be (-16)/6*(-6)/4. Let s(k) be the first derivative of 0*k - k**2 + 0*k**3 + 1 - 1/4*k**a. Find the second derivative of s(g) wrt g.
-6*g
Let g(n) = n - 1. Let q(w) = -4*w**2 - 5*w - 1. Let a(t) = -g(t) + q(t). Find the second derivative of a(d) wrt d.
-8
Let a(n) = n**3 + n**2 - n - 1. Let v(b) = 5*b**6 - 2*b**3 - 26*b**2 + 2*b + 2. Let h(u) = 4*a(u) + 2*v(u). What is the third derivative of h(r) wrt r?
1200*r**3
Let g(m) be the third derivative of 5*m**9/252 + m**5/60 - 8*m**2. Find the third derivative of g(c) wrt c.
1200*c**3
Let a(v) be the second derivative of 11*v**5/10 - 11*v**3/2 - 3*v + 1. What is the second derivative of a(f) wrt f?
132*f
Let v(i) = 61*i**2 + 9*i. Let c(g) = -31*g**2 - 4*g. Let p(n) = 13*c(n) + 6*v(n). What is the second derivative of p(t) wrt t?
-74
Let c(d) = -45*d**2 + 18*d. Let n(h) = 44*h**2 - 19*h. Let m(f) = -6*c(f) - 7*n(f). Find the second derivative of m(q) wrt q.
-76
What is the second derivative of -10*g + 2*g**2 - 7 - 11*g**2 + 7 wrt g?
-18
Let o(q) be the second derivative of q**6/90 - q**5/60 - q**3/3 + 6*q. Let w(s) be the second derivative of o(s). What is the second derivative of w(r) wrt r?
8
Suppose 5*b = -5*a + 5, 5*a = b - 5*b + 4. Let f(u) be the first derivative of -u + a*u**2 + 2 - 2/3*u**3. Differentiate f(l) wrt l.
-4*l
Let h(n) be the third derivative of 2*n**7/35 + 9*n**4/8 + 41*n**2. Find the second derivative of h(x) wrt x.
144*x**2
What is the second derivative of -9*h**4 - 21*h**4 + 2*h**4 - 32*h + 5*h wrt h?
-336*h**2
Let k = 14 - 8. Differentiate k + 2*g + 2*g - 5 wrt g.
4
Let u(g) be the first derivative of 3/2*g**2 + 3 - 4*g. What is the first derivative of u(t) wrt t?
3
Suppose -3*g + 8 = -4. Find the third derivative of -2*v + 7*v**g + 2*v - 5*v**2 wrt v.
168*v
What is the third derivative of -6*r**2 - 10*r**3 - 4*r**2 - 13*r**2 wrt r?
-60
Let a(i) be the first derivative of -8*i**2 - 16*i - 15. Find the first derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
2. What is z(-7)?
-20
Let w(r) = 12*r**3 + 30*r**2 - 41*r - 41. Let k(z) = 4*z**3 + 10*z**2 - 14*z - 14. Let l(c) = -8*k(c) + 3*w(c). Give l(-3).
4
Let n(k) be the third derivative of 0 + 0*k - 11*k**2 + 1/180*k**6 - 1/120*k**5 - 2/3*k**4 + 0*k**3. Let l(g) be the second derivative of n(g). Give l(-1).
-5
Let r be (6 - 1)*13*(9 - 10). Let y = 14 + r. Let q = y + 52. Let i(n) = -10*n**2 - n + 1. Determine i(q).
-10
Let m(z) = 4*z**2 - 4. Let p(r) be the third derivative of -r**5/60 + r**3/6 + r**2. Suppose 185 = -11*x + 218. Let q(c) = x*p(c) + m(c). Determine q(2).
3
Let a(s) = s**3 + 4*s**2 - 2*s + 4. Let k(n) = -n**3 + 8*n**2 - 8*n + 5. Let b be k(7). Let r = b + -2. Let x be (2 - 3)/(r - (-17)/4). Determine a(x).
12
Suppose 4*o = 5*x + 32, -24*x - 11 = 3*o - 19*x. Suppose 5 = -5*w - p + 68, o*w = -3*p + 33. Let v(r) = r - 8. Determine v(w).
5
Let y(m) be the second derivative of m**4/8 - 2*m**3/3 + 35*m**2/2 + m - 15. Let x(j) be the first derivative of y(j). Give x(-3).
-13
Let n(x) be the first derivative of -x**3/3 - 3*x**2/2 + 4*x - 4. Suppose -103*o = -104*o - 6. Give n(o).
-14
Let p(x) = -2 + 34*x**2 - 56*x**2 - 3*x + 15*x**2 + 6*x**2. What is p(4)?
-30
Let w(u) be the second derivative of -u**5/20 + 11*u**4/12 - u**3/6 + 3*u**2 + 2*u. Suppose 0 = 7169*n - 7160*n - 99. Determine w(n).
-5
Let x(z) be the first derivative of -z**4/4 + 2*z**3 - 7*z**2/2 - 6*z + 8496. Calculate x(6).
-48
Let g(i) = -5*i**2 - i - 4. Suppose 17*h - 115 = -36*h - 9. Give g(h).
-26
Let m(a) = -2*a - 10. Let z = 34 + -31. Suppose 7*c + z = 8*c. Let u be 1/((-2)/20) + c. Calculate m(u).
4
Let r(w) = 8 - 3*w + 7 + 0*w. Suppose 299*g - 688 = -892 + 1699. Calculate r(g).
0
Let a be (-637)/(-343) - ((-135)/63 + -1). Suppose 2 - 8 = -3*p. Let u(d) = -6*d + d**2 - 1 + 0*d**p + 4. Determine u(a).
-2
Let p = -27423 + 27429. Let m(q) = -5*q**2 - 29*q + 14. Let i(x) = 2*x**2 + 14*x - 7. Let t(k) = -7*i(k) - 3*m(k). Determine t(p).
-23
Let v(p) be the second derivative of -7*p**3/3 + 16*p**2 + 2241*p. Give v(3).
-10
Let s(o) be the first derivative of 3*o**2/2 - o - 250. Let z(n) = -n + 2. Suppose c - 5 = -2. Let a be z(c). Give s(a).
-4
Let l(u) = -5*u + 5. Let f(m) = 16*m - 64. Let k(v) = 8*v - 33. Let c(y) = 3*f(y) - 7*k(y). Let x be c(4). Determine l(x).
-30
Let w(h) = -h**2 + 19*h - 49. Let y be w(14). Suppose -y - 9 = -5*z. Let g(o) = -o**3 + 5*o**2 + 3*o + 12. Give g(z).
-6
Suppose 16*b = 12*b + 976. Let q = b + -255. Let g(r) = -r**3 - 10*r**2 + 10*r + 8. Calculate g(q).
19
Let d(i) = 8*i + 72. Let u(j) = -j + 1. Let q(p) = d(p) - 5*u(p). What is q(-6)?
-11
Let f(n) = 5*n**2 + n. Suppose -12 = -6*i - 0. Suppose t + 0 = -i. Let u be -4 + (1 - t)/1. Determine f(u).
4
Let k = -13124 + 13115. Let i(q) = q**2 + 12*q + 6. Let z(b) = -b**2 - 12*b - 5. Let j(h) = 3*i(h) + 2*z(h). Determine j(k).
-19
Let m(g) = -g**2 + 5*g - 4. Let p(n) = -n**2 - 3*n + 10. Let l be p(3). Let r(c) = 2*c**2 + 11*c + 18. Let x be r(l). Let s = x - 55. What is m(s)?
2
Let a(t) = t**3 + 11*t**2 - 4*t + 62. Let z(r) = -2*r**3 - 9*r**2 + 4*r - 66. Let x(n) = -3*a(n) - 2*z(n). Give x(15).
6
Suppose -u = s + 2*s - 31, -5*s + 4*u + 29 = 0. Let w(q) = 5*q + 28. Let f be w(-5). Let m(c) = f - 8 - 9*c - 1 + c**2 + 1. What is m(s)?
-5
Let a(m) = -m**3 - 9*m**2 - 5*m - 2. Suppose -2*h = 8, 4*r + 4*h = -0*r + 272. Suppose -39*n = -30*n + r. Determine a(n).
-26
Let z(t) be the third derivative of t**3/3 + 6*t**2. Let h(w) = -3*w**2 + 2*w - 8. Let b(m) = -h(m) - 5*z(m). Calculate b(-3).
31
Let s(k) be the first derivative of -3*k**2/2 + 113*k - 8124. Determine s(40).
-7
Let r = -5 - -1. Let n(p) = 4*p + 13. Let i(u) = -4 - 5*u - 6 - 5 + 0. Let s(a) = 5*i(a) + 6*n(a). Give s(r).
7
Let f(y) be the second derivative of 0 + 77*y - y**2 + y**3 - 1/6*y**4. Determine f(4).
-10
Let y(k) be the second derivative of -4/3*k**3 - 90*k + 0 + 0*k**2. Calculate y(2).
-16
Suppose 350*s - 349*s - 59 = 0. Suppose 38*x - s = 359. Let l(n) = -n**3 + 11*n**2 + n - 9. Give l(x).
2
Suppose 4*w = 18*n - 21*n + 14, 5*n - w = 31. Let d(h) = h**2 - 3. Calculate d(n).
33
Let h(u) = 35 + 2*u**3 - 2*u**3 - 5723*u**2 + 2856*u**2 + 2868*u**2 - 21*u + 2*u**3. Determine h(2).
13
Suppose -4*g - 2*q = -38, 6 = -33*g + 34*g - 3*q. Suppose 0 = 6*a - g*a + 9. Let i(s) be the first derivative of s**3/3 - s**2/2 + 2. What is i(a)?
6
Let j = -686 + 679. Let m(f) = -f**3 - 4*f**2 + 18*f. What is m(j)?
21
Suppose 3*b + c = -b - 28, 3*b = c - 21. Let v(n) = 124*n - 37. Let z(t) = -68*t + 19. Let w(l) = -6*v(l) - 11*z(l). Determine w(b).
-15
Let r(w) = -w**3 + 10*w**2 - 9*w - 4. Let o be r(9). Let i(m) = -219*m - 58. Let y(c) = -94*c - 25. Let k(u) = 6*i(u) - 14*y(u). What is k(o)?
-6
Let k be (-2)/(-8) + 13/(-4). Let w = -39 - -41. Let n(h) = h**3 - 4*h**2 - h - 1. Let c(m) = -3*m**3 + 8*m**2 + 1. Let g(d) = w*c(d) + 5*n(d). Calculate g(k).
3
Let f(i) = 10*i**2 - 227*i + 41. Let a(n) = 2*n**2 - 45*n + 8. Let p(q) = 11*a(q) - 2*f(q). Give p(20).
-14
Let q be ((-8)/10)/((-160)/25 - -6). Let g(j) = -12*j - 11*j + q - 16*j + 19*j. Give g(-1).
22
Let m(x) = x**2 - 14*x - 14. Let z be (-230)/(-4)*(-84)/105. Let p be (-644)/z + -1 + 2. Give m(p).
1
Let q be (-5)/100 - (-1215)/300. Let k(i) = -i**3 + 3*i**2 - 2*i - 8. Determine k(q).
-32
Let m be (24 - 18) + -1 + (-24)/(-6). Let o(j) = 2*j**2 - 13. Give o(m).
149
Let b(f) = f**3 + f - 1. Let k(s) = 3*s**3 + s**2 + 3*s - 2. Let g(q) = 2*b(q) - k(q). Let o(z) = -z**3 + z**2 - 1204*z + 2410. Let u be o(2). Calculate g(u).
6
Suppose -l - a = 6, 0*l + 2*a + 8 = 2*l. Let w(g) = 35*g + 3. Determine w(l).
-32
Suppose 0 = 3*a - 1 - 2. Let c be (6/12)/(a/(-4)). Let f(x) = -5*x + 34. Let p(h) = h + 9. Let r(d) = f(d) - 4*p(d). Calculate r(c).
16
Suppose 25*c + 4 = 79. Let n(u) = -3*u**3 + 2*u - 21 + 21 - 12*u**2 + c*u**2 + 6*u**2. Determine n(1).
-4
Suppose 583*s - 617*s = 68. Let j(d) = d**3 + d**2 + 6*d + 7. What is j(s)?
-9
Let l(n) = n**2 + 9*n + 7. Suppose -3*a - 15 = -8*a. Suppose a*m - 9*m = -288. Suppose w - m = 9*w. Determine l(w).
-11
Let x be (2 - 1)/(2/4). Let a(n) = -3*n**3 - 7*n**2 - 3*n - 2. Let p(d) = -d**3 - d**2 - 1. Let k(r) = -a(r) + 5*p(r). Calculate k(x).
-5
Let y(q) = 4*q**2 - 28*q - 7. Let z be (13*(-30)/(-585))/(5/(105/2)). Give y(z).
-7
Let n(s) = -s**2 + 7*s - 1. Let a(u) = -869*u - 17. Let q be a(0). Suppose -2*o + 0*w = 3*w - 46, 4*o + 4*w = 88. Let p = q + o. Give n(p).
11
Suppose -200*j + 202*j - 44 = 0. Let o(h) = -18*h - 22 + j + 13*h. Calculate o(3).
-15
Suppose -4 = -11*b + 9*b. Let i(j) = -53*j + 2*j**2 - j**b + 47*j + 1. Calculate i(5).
-4
Let q(t) be the third derivative of t**9/2160 + 5*t**5/12 - 75*t**2. Let v(y) be the third derivative of q(y). What is v(1)?
28
Let c = 45 - 36. Let k(p) be the third derivative of p**4/24 - 5*p**3/6 + 308*p**2. Calculate k(c).
4
Let s(z) = 4*z - 6. Let a(o) = -o**2 + 5. Let v(b) = 2*b**2 - b - 10. Let k(l) = -5*a(l) - 2*v(l). Let h(i) = 3*k(i) - 2*s(i). Give h(-2).
13
Let z(y) = y**3 + 6*y**2 - 8*y. Let s(o) be the third derivative of 1/60*o**5 + 20*o**2 - 1/3*o**4 + 0 + 0*o + 4/3*o**3. Let t be s(5). Calculate z(t).
7
Suppose -25 = -3*p + 8*p. Let n(j) = -17*j**3 + 6*j**2 + 5*j - 2. Let h(l) = -11*l**3 + 6*l**2 + 4*l - 3. Let m(t) = -3*h(t) + 2*n(t). Give m(p).
-10
Suppose -7*t - 1 = -22. Let p(y) = -y**3 + 1 + 9*y**2 - t*y**2 - y**2. Let q be (-12)/(-8) - (-14)/4. Calculate p(q).
1
Let a(x) = -x**2 + 3*x + 1. Let t be a(4). Let v(y) = -2*y**2 - 14*y - 124. Let l(c) = c**2 + 7*c + 74. Let q(f) = -5*l(f) - 3*v(f). Calculate q(t).
-10
Let k be 12*8*(-2)/(-24) - 5. Let f(j) = j**2 + j - 2. Let w be f(-3). Let q(h) = 4*h + 2*h**2 + 3*h**2 - w*h**2 - 2*h**2. Give q(k).
3
Let s = 18 + -10. Let h(a) = a**2 - 3 + 7*a + s + 1. Suppose 2*v + 22 = -2*j, 146*v = 150*v + 2*j + 36. What is h(v)?
6
Let j(q) = -q + 12. Let y = 9853 - 9882. Give j(y).
41
Let a(o) be the second derivative of o**5/20 + 2*o**4/3 + 3*o**3/2 + 13*o**2/2 - 2231*o. What is a(-6)?
31
Let b(l) be the second derivative of l**5/30 - l**4/6 - 49*l**3/6 + 45*l. Let d(r) be the second derivative of b(r). Determine d(-3).
-16
Suppose -18 = 5*i - 7*i. Let j(t) = -8*t**2 + 15*t**3 - i*t - 27*t**3 + 6*t**3 + 7*t**3 - 6. Let q be j(9). Let v(m) = m + 2. What is v(q)?
-4
Let d be 710/(-6) + 9*(
|
{
"pile_set_name": "DM Mathematics"
}
|
8, what is -653 + -5?
-660
In base 10, what is 98 + 13?
111
In base 9, what is -312 - -1?
-311
In base 9, what is 5 - 22?
-16
In base 9, what is 3 + 5?
8
In base 11, what is -899 + 5?
-894
In base 10, what is -5 - -469?
464
In base 5, what is 1 - 123?
-122
In base 9, what is -32 + -38?
-71
In base 10, what is -2548 + 2?
-2546
In base 14, what is -7 + a0?
97
In base 2, what is 1110110010 - 101?
1110101101
In base 14, what is 1 + 24d?
250
In base 16, what is -33a + -5?
-33f
In base 12, what is -215 - -42?
-193
In base 4, what is 12232 + 12?
12310
In base 12, what is 18 - 5a?
-42
In base 3, what is -2022 + -11?
-2110
In base 4, what is -2220022 - -1?
-2220021
In base 13, what is -8 - b?
-16
In base 10, what is 4 + 37?
41
In base 9, what is 12 + 18?
31
In base 13, what is -20 - -145?
125
In base 2, what is -101 + 111111?
111010
In base 12, what is -22b - 1a?
-249
In base 9, what is 26058 + 2?
26061
In base 11, what is 0 + -3a?
-3a
In base 11, what is 0 - -26?
26
In base 3, what is -1221211 - 0?
-1221211
In base 9, what is -3 - 1165?
-1168
In base 16, what is -f85 - 1?
-f86
In base 5, what is 11140 + -10?
11130
In base 3, what is -211 + -1012?
-2000
In base 8, what is 16056 + -1?
16055
In base 15, what is 33 + -2a?
8
In base 12, what is -100 - -11?
-ab
In base 5, what is -300234 - -1?
-300233
In base 2, what is 10 - 10101100100?
-10101100010
In base 7, what is -6016 - 2?
-6021
In base 11, what is 158 - 3?
155
In base 10, what is -248 + -7?
-255
In base 9, what is -18 - 124?
-143
In base 13, what is -7 - -56?
4c
In base 16, what is 61 + 2?
63
In base 2, what is 1010100011 - 1?
1010100010
In base 15, what is -1 + -36?
-37
In base 7, what is 5624 + 2?
5626
In base 7, what is 20 + 213?
233
In base 3, what is -1011 - 22201?
-100212
In base 6, what is -2 - 3020?
-3022
In base 16, what is 2 - -17?
19
In base 9, what is -8 - 3143?
-3152
In base 16, what is 66e + -4?
66a
In base 16, what is -1f2 + 2?
-1f0
In base 3, what is -12111 - -10?
-12101
In base 5, what is -123 + 1?
-122
In base 14, what is -1 - 137?
-138
In base 14, what is -5 + b7?
b2
In base 16, what is 195 + 9?
19e
In base 2, what is 111111 - 11110?
100001
In base 8, what is 4 - 503?
-477
In base 13, what is 4 - 1021?
-101a
In base 4, what is -10 + -100?
-110
In base 14, what is 245 + -2?
243
In base 10, what is 2 - 131?
-129
In base 3, what is 11 + 2100?
2111
In base 14, what is -10 - -6?
-8
In base 16, what is -31 - -34?
3
In base 14, what is -2 - 364?
-366
In base 14, what is 3 + 1766?
1769
In base 16, what is 1 + -a?
-9
In base 14, what is -2b0 - -2?
-2ac
In base 3, what is -120201 + 11?
-120120
In base 6, what is 5 + -444?
-435
In base 13, what is -b - 93?
-a1
In base 9, what is -25 + 0?
-25
In base 14, what is 0 - -10?
10
In base 6, what is -11 - -4535?
4524
In base 14, what is -4 + -17?
-1b
In base 3, what is 1200 - -222?
2122
In base 11, what is -62 - 5?
-67
In base 11, what is 1 - 3?
-2
In base 13, what is -27 - 17?
-41
In base 5, what is -14040 - -12?
-14023
In base 14, what is 1c + -c?
10
In base 10, what is -5 - 8?
-13
In base 2, what is 1100 - -1001101?
1011001
In base 10, what is 2 - 90?
-88
In base 10, what is 751 - -28?
779
In base 12, what is -452 - -4?
-44a
In base 12, what is -5 + -59?
-62
In base 15, what is 1 + b6?
b7
In base 13, what is 30 + 2b?
5b
In base 3, what is -2010211 + 10?
-2010201
In base 14, what is 40 - d?
31
In base 6, what is -1 + -110?
-111
In base 8, what is -6522 + -5?
-6527
In base 8, what is 1233 - 4?
1227
In base 2, what is -11 + 101100111000?
101100110101
In base 11, what is -83 + -12?
-95
In base 3, what is 10 + 10120?
10200
In base 16, what is 8e0 + 3?
8e3
In base 8, what is 10 - 144?
-134
In base 7, what is 56 - 10?
46
In base 16, what is -1 + c8e?
c8d
In base 9, what is 26838 + 0?
26838
In base 16, what is 2 + -42?
-40
In base 12, what is 15 + 76?
8b
In base 10, what is 47 + 4?
51
In base 16, what is f8 - 6a?
8e
In base 8, what is -4 - -43?
37
In base 10, what is -51 - -43?
-8
In base 8, what is -1470 + -55?
-1545
In base 7, what is 2314 - 5?
2306
In base 7, what is 1161 - -63?
1254
In base 14, what is 3 + 54?
57
In base 12, what is -b0 - -1?
-ab
In base 9, what is 3 + -21?
-17
In base 9, what is 7346 - -5?
7352
In base 9, what is 4 + 17?
22
In base 15, what is -30 + -1?
-31
In base 7, what is -14 - -52?
35
In base 3, what is 2122112 - -20?
2122202
In base 5, what is 1012 + -3?
1004
In base 7, what is 3 - -45?
51
In base 12, what is -72 + -1?
-73
In base 16, what is 1f + 1?
20
In base 15, what is 3 + -109?
-106
In base 2, what is -1011000101011 - 101?
-1011000110000
In base 16, what is -1 - -25?
24
In base 9, what is 10 - -20?
30
In base 6, what is -335 - 5?
-344
In base 7, what is 0 + -322?
-322
In base 5, what is 104 - -24?
133
In base 12, what is -4 + -136?
-13a
In base 16, what is 48 - 4?
44
In base 9, what is 1 + -3804?
-3803
In base 14, what is -3616 + -3?
-3619
In base 16, what is -891 + -4?
-895
In base 15, what is -d - 24?
-32
In base 5, what is -2 - -1212?
1210
In base 9, what is -17 + 5?
-12
In base 12, what is -22 + 4?
-1a
In base 11, what is 8 - -168?
175
In base 3, what is -112 + 10?
-102
In base 15, what is 20c + -5?
207
In base 5, what is -223432 + -3?
-223440
In base 15, what is 14 + 8b?
a0
In base 4, what is 212232 - 10?
212222
In base 15, what is -3 - e4a?
-e4d
In base 8, what is 35 + -424?
-367
In base 8, what is 247 - -1?
250
In base 13, what is -1 + 51?
50
In base 11, what is 8 - -12?
1a
In base 16, what is 3 + 5?
8
In base 14, what is -7 + 5?
-2
In base 12, what is 4 + -1?
3
In base 15, what is a + 2c8?
2d3
In base 12, what is -a6 - a?
-b4
In base 6, what is 50 + -3?
43
In base 3, what is 11100221 + -1?
11100220
In base 9, what is -5 + -1164?
-1170
In base 15, what is -4 - -142?
13d
In base 15, what is -4 + -22?
-26
In base 9, what is 5 - -81?
86
In base 6, what is 51 + -32?
15
In base 2, what is -100111 - 10001?
-111000
In base 3, what is 11 - -22?
110
In base 9, what is 84 - 2?
82
In base 14, what is 18 - 15a?
-142
In base 6, what is -5 + -120?
-125
In base 13, what is 0 - -b9?
b9
In base 8, what is -10051 - 5?
-10056
In base 11, what is -194 + 10?
-184
In base 15, what is 5 + -3a?
-35
In base 4, what is -23103 + -10?
-23113
In base 7, what is 1 - 43?
-42
In base 9, what is -11 + 30?
18
In base 2, what is -1001 + 10011111?
10010110
In base 12, what is -4 - 22?
-26
In base 4, what is -1330112 + -2?
-1330120
In base 15, what is c4 + 4?
c8
In base 9, what is 85 - -13?
108
In base 2, what is -100 - 10010111?
-10011011
In base 6, what is -41 - -3?
-34
In base 14, what is -335 + 28?
-30b
In base 7, what is -35 + -1634?
-2002
In base 7, what is -2630 + 0?
-2630
In base 6, what is 1435 - 2?
1433
In base 10, what is -19 - 1?
-20
In base 14, what is 3 - 74b?
-748
In base 8, what is 3347 - -1?
3350
In base 3, what is 0 - 21210?
-21210
In base 5, what is -41240 - 20?
-41310
In base 12, what is 1 - -41?
42
In base 3, what is 20022012 - 2?
20022010
In base 11, what is 7 + 212?
219
In base 7, what is 15 + -46?
-31
In base 2, what is -11 - -10000010000?
10000001101
In base 6, what is -103 + -424?
-531
In base 2, what is 101 - 100110?
-100001
In base 7, what is -5015 - 2?
-5020
In base 12, what is -4 - -65?
61
In base 6, what is -5 + -32?
-41
In base 15, what is 2 + -22a?
-228
In base 12, what is -2 - 756?
-758
In base 14, what is -11 - 23?
-34
In base 9, what is 3 + -104?
-101
In base 16, what is 428 + -3?
425
In base 3, what is -12220 + -11?
-20001
In base 15, what is 1 + -c03?
-c02
In base 10, what is -1 - 16?
-17
In base 6, what is 0 + 1224?
1224
In base 5, what is -14 + -214?
-233
In base 9, what is -40 - 87?
-137
In base 6, what is -41 - -4232?
4151
In base 4, what is 110 - 1?
103
In base 15, what is -5 - 1e?
-24
In base 8, what is 5 - -25?
32
In base 11, what is -6 - -20a?
204
In base 2, what is -111 - 10010010110?
-10010011101
In base 5, what is -3 - -14343?
14340
In base 8, what is 522 - -5?
527
In base 8, what is -512 + 4?
-506
In base 8, what is -752 + 12?
-740
In base 16, what is -5 + 63?
5e
In base 16, what is 1334 - -1?
1335
In base 16, what is -d6 - 1?
-d7
In base 6, what is -4 + 20453?
20445
In base 2, what is -10100 + 0?
-10100
In base 2, what is -1100 - -100?
-1000
In base 12, what is 3 - -745?
748
In base 7, what is -
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 - 363*y**2 + 146*y + 44. What is the remainder when k(-73) is divided by 12?
8
Let c(z) be the first derivative of z**3 + 2*z**2 - 19. Let t be 1/(((-12)/9)/4). Calculate the remainder when c(t) is divided by 9.
6
Suppose 2*y - 70 = 5*o, -16*y + 14*y = -4*o - 74. Calculate the remainder when 1707 is divided by y.
42
Let c(a) = -a**3 + 4*a**2 - 3*a - 1. Let k be c(3). Suppose 2*t = r - 7, 4*t - 2*t + 2*r = 2. What is the remainder when (k - (t - -5))*-5 is divided by 7?
6
Let x be (2/(-2))/((-17)/68). Suppose 4*u - x = 20. Let t(g) = 3*g**2 - g - 1. What is the remainder when t(3) is divided by u?
5
Suppose -15*c + 324 = -9*c. Let u = -20 + c. What is the remainder when u is divided by 18?
16
Let i = 101 + -57. Let t(n) = -n**3 + 28*n**2 + 29*n + 16. Let x = -125 + 154. What is the remainder when i is divided by t(x)?
12
Let h = 12 + -20. Calculate the remainder when 4 is divided by h/18*36/(-8).
0
Suppose r + 3*j + j = -21, 0 = 4*r - 4*j + 4. Let b = r + 129. Suppose 4*i - b = -2*n, i = 5*n - 0*n - 266. Calculate the remainder when n is divided by 15.
9
Calculate the remainder when 33 is divided by 52*(1/2 - 0).
7
What is the remainder when 139 is divided by (-2)/14 + 5198/322?
11
Let p(j) = -j**2 - j + 1. Let v(c) = -c**3 - 6*c**2 + 5*c + 1. Let i(f) = 2*p(f) - v(f). Calculate the remainder when i(-5) is divided by 2.
1
Suppose 10*h - 237 = 153. What is the remainder when 310 is divided by h?
37
Suppose 0 = 87*p - 8697 - 8877. Calculate the remainder when p is divided by 12.
10
Suppose -3*t = -4*t + 3*t. Suppose -3*b + 3*y - 16 = -64, -y = t. Calculate the remainder when 61 is divided by b.
13
Let p(u) be the first derivative of -9*u**2/2 + 13. What is the remainder when p(-4) is divided by 13?
10
Suppose -5*l + 0*l + 50 = 0. Suppose -l = k - 27. Calculate the remainder when 47 is divided by k.
13
Let p(s) = s**3 + 2*s**2 + 5*s + 9. Let f(o) = 3*o**3 + 7*o**2 + 14*o + 26. Let g(h) = 6*f(h) - 17*p(h). Calculate the remainder when 65 is divided by g(-8).
10
Let g(q) = -q**3 + 7*q**2 + 5*q - 2. Let u = -23 - -30. What is the remainder when 130 is divided by g(u)?
31
Suppose -2*f = 3*f. Suppose f = -4*q - 1 + 85. Calculate the remainder when 61 is divided by q.
19
Let i(x) = -x**3 - 25*x**2 + 46*x + 53. What is the remainder when i(-27) is divided by 30?
29
Let k be 1 - -3 - (8 + -6). Suppose -i + 14 = -k*f, -5*i + 93 = -3*f + 30. What is the remainder when 71 is divided by i?
11
Let m(o) = 132*o + 1. What is the remainder when m(3) is divided by 16?
13
Let w(k) = 19*k**3 - 2*k**2 + 4*k - 3. What is the remainder when 49 is divided by w(1)?
13
What is the remainder when 58 is divided by ((-204)/(-119))/(2/21)?
4
Let f(m) = m**3 + 2*m**2 - 2*m - 1. Suppose y + 2*i - 26 = -3*y, i = 3*y - 7. Calculate the remainder when f(2) is divided by y.
3
Let s be (-9)/(-3) + 15 - -1. Let n = 2 - 2. Suppose -g + s = -n*g. Calculate the remainder when g is divided by 11.
8
Calculate the remainder when 185 - (1/(1/(-5)) + 1) is divided by 96.
93
Let f be ((-1)/(-3))/(428/(-72) + 6). Let o(c) = 4*c - 3. Let m be o(2). Suppose -l + f = -m. Calculate the remainder when l is divided by 4.
3
Suppose 3 + 1 = 2*x. Suppose -3*f = 3, 6 + 7 = x*s - 5*f. Calculate the remainder when -1*(-2 + s) - -25 is divided by 7.
2
Let o(n) = -n**3 + 23*n**2 + 26*n - 29. Calculate the remainder when 68 is divided by o(24).
11
Let t be 4 - (0 - -4) - 31. Let g be t*(7 + 1 + -5). Calculate the remainder when 2*(3 - g/6) is divided by 14.
9
Suppose -255 = -8*b - 7*b. Suppose 1023 + 14 = b*d. What is the remainder when d is divided by 21?
19
Suppose 5*g - 610 = 13*z - 18*z, -3*g = -2*z - 381. Calculate the remainder when g is divided by 71.
54
Suppose 2*j - k + 5*k - 408 = 0, j = -5*k + 201. What is the remainder when j is divided by 69?
68
Calculate the remainder when (-7)/(-7) - 50/(-5) is divided by 6.
5
Let p(j) = 10*j - 112. What is the remainder when 155 is divided by p(16)?
11
Suppose -y = 2, 5*y + 8 = -2*l - 28. Let n = l - -49. Let g = 8 + 5. Calculate the remainder when n is divided by g.
10
Let l(s) = s + 2. Let b be l(-8). Let d = -17 - -35. What is the remainder when (-153)/b*(-24)/(-9) is divided by d?
14
Calculate the remainder when (-77952)/(-1440) - -4*(-2)/60 is divided by 24.
6
Suppose 9*k + 2*q = 4*k + 875, 0 = -5*k + 4*q + 845. What is the remainder when k is divided by (-6)/27 + (-3632)/(-144)?
23
What is the remainder when (-4)/(-6)*115080/80 is divided by 21?
14
What is the remainder when (76 - 46)*(-27)/(-6) is divided by 5?
0
Let l = -16 + 27. Suppose 0 = 8*c - l*c. Suppose -h + 3*n + 9 = c, -h - n = -19 - 2. What is the remainder when 34 is divided by h?
16
Let b be 85/25 + 4/(-10). Suppose -2*k + 28 = -3*i + i, 0 = 4*k - b*i - 53. Calculate the remainder when 3/((-9)/6) + 32 is divided by k.
8
Suppose -c + 16 = 3*g, 6*c + 12 = 5*g + 4*c. Calculate the remainder when 11 is divided by g.
3
Calculate the remainder when 17 is divided by 2/6*(197 + 7)/4.
0
Let s(a) = -47*a - 7. Let n be s(-5). Let h = -138 + n. Suppose b - h = -4*b. What is the remainder when b is divided by 10?
8
Let q(n) = n**3 + n**2 + n + 2. Let k be q(0). Suppose k*o - 4*y = 0, 3*y - 8 = y. Calculate the remainder when 28 is divided by o.
4
Let y = 8 + -8. Suppose y = -3*f - 0 + 6. Suppose 0*t - 44 = -f*t. What is the remainder when 86 is divided by t?
20
Let s = -1 + 3. Suppose 5*b - 4*c + s + 8 = 0, -8 = 4*b + c. Calculate the remainder when (1/b)/((-14)/1848) is divided by 23.
20
Suppose -26*b + 12241 = -1591. Calculate the remainder when b is divided by 89.
87
Suppose -637*q + 628*q + 108 = 0. Calculate the remainder when 21 is divided by q.
9
Suppose -5*g + 4*g - 44 = 0. Calculate the remainder when 26 is divided by g/(-6) - 4/12.
5
Suppose -j + 42 = -s, 4*j - 2*s + 4 = 176. Calculate the remainder when j is divided by 7.
2
Let a be 5*((-18)/15)/3. Calculate the remainder when 26 is divided by 112/7 + (a - (-2 - -2)).
12
Let n = -13 - -13. Suppose -4*u + 5*f + 56 = 0, 0 = 4*u + 2*f - n*f - 28. Calculate the remainder when u is divided by 5.
4
What is the remainder when 37 is divided by 5 + -6 + (-110)/(-5)?
16
Suppose 0 = -i - 0*i + 4*q - 7, -5*i = -4*q - 29. What is the remainder when 26 is divided by i?
8
Let l(b) = 16*b + 78. Calculate the remainder when 116 is divided by l(-3).
26
Suppose 128*q = 130*q - 24. Calculate the remainder when 74 is divided by (-4 + (-292)/(-16))/(q/16).
17
Let p = -396 + 409. What is the remainder when 61 is divided by p?
9
Let d be 1*((-18)/(-15))/(2/(-5)). What is the remainder when 123 is divided by (42/(-9))/((-5)/d - 2)?
11
Let z(k) = -22*k - 258. Calculate the remainder when 112 is divided by z(-12).
4
Suppose 0 = -0*o + 3*o + r - 11, -7 = -3*o + r. Suppose o*i - 80 = -2*i. Let m = 427 - 421. Calculate the remainder when i is divided by m.
4
Suppose 3*s = -3*t + 435, 5*t - 4*s - 7 = 727. Suppose 3*h - 286 = -5*b, -5*h = b - 316 - t. Calculate the remainder when h is divided by 32.
28
Let v = 493 + -363. Calculate the remainder when v is divided by 24.
10
Suppose -25*z + 22*z = 0. Suppose -i + 10 = -f, 3*f - 22 = -i - 0*f. Calculate the remainder when ((-2)/(-6))/1*(75 - z) is divided by i.
12
Let p = -835 + 911. Calculate the remainder when p is divided by 40.
36
Suppose -4*u + 158 = -646. Suppose -4*k = 5*r - u, 4*r = 4*k + 2*r - 222. What is the remainder when k is divided by 19?
16
Let h(q) = -36*q - 258. Calculate the remainder when h(-11) is divided by 28.
26
Suppose 3*g = 0, -3*m + 2*m = -g + 10. Let c = -5 - m. Suppose -4*z + 5*y = -116 + 21, -y = -c*z + 103. What is the remainder when z is divided by 11?
9
Let t(r) = 2*r - 4. Let o be t(3). Let z(h) = -3*h**2 + 10*h - 13 - 4*h**o - 2*h**3 + h**3. Calculate the remainder when z(-9) is divided by 20.
19
Suppose 3*g - 58 = -o, 4*o + 4*g = g + 259. Calculate the remainder when 870 is divided by o.
66
Suppose -f + 42 = -3*o + 4*o, -5*o + 3*f + 170 = 0. Let s = 25 - o. Let t(d) = d**2 + 9*d - 14. Calculate the remainder when t(s) is divided by 12.
10
Let b = -17 - -10. Let k(d) = -4*d - 7. Let x(q) = -5*q - 22. Calculate the remainder when k(b) is divided by x(-6).
5
Let u = -28 + 103. Suppose -2*r - 14 = -4. What is the remainder when u is divided by (-14 + 1)/(r/10)?
23
Let t be 1524/(-30) +
|
{
"pile_set_name": "DM Mathematics"
}
|
/216)?
8
Let w be (-1)/2*(-2 + 10). Suppose 2*i = -1 + 13. What is the units digit of (3/i + -2)*w?
6
Suppose 5*b + 5*o - 340 = 0, -4*b + b + 208 = 2*o. Suppose 5*f - 18 - b = 0. What is the units digit of f?
8
Suppose -7*c + 100 = 5*h - 2*c, 4*c = 3*h - 39. What is the units digit of h?
7
Let i(r) be the first derivative of -3*r**2 - 6*r - 5. What is the units digit of i(-5)?
4
Suppose 4*f + 4*w - 1604 = -452, 4*w + 1395 = 5*f. What is the hundreds digit of f?
2
Let q(l) = 4*l**2 + 2*l. Let y be q(-2). Suppose y = 5*b - o, -14 = 3*b - 5*b + 5*o. Suppose -b*d = -d - 12. What is the units digit of d?
2
Let o = -5 + 8. Suppose -30 = -o*b + 39. What is the tens digit of b?
2
Let p(c) = -c - 4. Let l(n) = -3*n - 9. Let h(w) = 2*l(w) - 5*p(w). What is the units digit of h(-5)?
7
Let b(h) be the first derivative of -h**2/2 - 2*h - 2. What is the units digit of b(-4)?
2
Let m = -6 - -8. Let n(q) = 8*q - 1. What is the tens digit of n(m)?
1
Let v = 36 + -31. What is the units digit of v?
5
Let y(h) = h**3 - 12*h**2 - 12*h - 10. Let s be y(13). Let c = 2 + 0. Suppose s*a = c*a + 6. What is the units digit of a?
6
Suppose -3*c + 0*c = 27. Let s(x) = -x**3 - 11*x + 23*x**2 - 33*x**2 - 6 + 0. What is the units digit of s(c)?
2
Let u = -1 - -4. Suppose -7*q + q = 0. Let l = q + u. What is the units digit of l?
3
Suppose 86 + 43 = 3*q. What is the tens digit of (q + -3)/4 - 0?
1
Let p = -10 + 21. What is the tens digit of p?
1
What is the tens digit of (-32)/240 - 2312/(-15)?
5
What is the tens digit of (-12084)/(-33) + (-4)/22?
6
Suppose 4*a + 17 = -7. Suppose 2*k = -2*f - f + 43, -3*k = -4*f + 29. Let u = a + f. What is the units digit of u?
5
Suppose -8*a = -3*a - 5, p + 45 = -3*a. Let h = 71 + p. What is the tens digit of h?
2
Suppose -3*j = 4*i - 12, 4*j = -2*i + j + 12. Suppose i = 3*x - 16 - 2. What is the units digit of x?
6
Let j(i) = 2*i**2 + 2*i + 3. What is the tens digit of j(-4)?
2
Let s be ((-3014)/4)/(17/34). What is the tens digit of s/(-99) + 2/(-9)?
1
Suppose -5 = -2*y + 73. Let w = y + -19. What is the units digit of w?
0
Let k = 84 + 18. What is the tens digit of k?
0
Let a(g) = 2*g - 2 - 5*g**3 + 6*g**2 - 5*g + 4*g**3 - g. What is the tens digit of a(4)?
1
Suppose 5*n - 20 = n, 4*f - n - 15 = 0. Suppose f*w - 60 = -0*w. What is the units digit of w?
2
Let i(d) = 59*d**2 + 4*d + 6. What is the hundreds digit of i(-2)?
2
Let d(l) = -l**2 + 7*l + 6. Let w be d(8). Let b be w/(-11) + 480/22. Suppose -i + 0 = -2, 4*i = 3*n - b. What is the units digit of n?
0
Let z(u) = u**3 + 2*u**2 - 5*u - 3. Let p be z(-3). Suppose -p*q + 4*q - 8 = 0. Suppose -1 = -b + q. What is the units digit of b?
9
Let w(z) = z**2 + 8*z + 6. Let p be w(-5). What is the units digit of (p/(-5))/(1/5)?
9
Let c(p) = p**2 - 8*p + 14. Let j(t) = -3*t + 4. Let n be j(-2). What is the tens digit of c(n)?
3
Let t(d) = 203*d**2 + 2*d. What is the units digit of t(1)?
5
Let s(r) = -8*r - 11. What is the units digit of s(-6)?
7
Let a(o) = -o**3 + 6*o**2 - 6*o + 1. Let x be a(4). Suppose -x = 5*h - 29. Suppose 0 = 3*v + 5*u - 10, 10*v - 5*v = -h*u + 21. What is the units digit of v?
5
Suppose -5*g = 3*k - 4 + 1, 4*k = -g + 4. Suppose g = -5*m - 20 + 65. What is the units digit of m?
9
Suppose -z = 1 - 2. Let c(t) = 8*t**2 - 6*t - 8. Let m(l) = -3*l**2 + 2*l + 3. Let g(n) = -4*c(n) - 11*m(n). What is the units digit of g(z)?
2
Suppose p + 1 + 37 = -5*v, -5*p + 10 = 0. Let r(q) = q**3 + 9*q**2 + q - 3. Let d be r(-9). What is the units digit of (-6)/v - 3/d?
1
Let w be 68/7 - (-4)/14. Let p = 15 - w. What is the units digit of p?
5
Let v be ((-2)/(-4))/((-6)/(-792)). Suppose y + y - v = 0. What is the units digit of y?
3
Let u = -22 - -26. Suppose -29 - 83 = -u*a. What is the units digit of a?
8
Let p(r) be the second derivative of -r**4/12 - 5*r**3/3 + 11*r**2/2 - 3*r. What is the tens digit of p(-10)?
1
Let w = 3 - 4. What is the units digit of w/(-2) - (-51)/6?
9
Let g(t) be the second derivative of 1/12*t**4 - 1/6*t**3 + 11/2*t**2 - 3*t + 0. What is the units digit of g(0)?
1
Suppose r - 3*r = -3*g - 16, -5*g - 22 = -r. What is the units digit of r?
2
Suppose -4*s + u = -4*u - 132, 5*s - u - 144 = 0. Let i be 6/(-9) + s/(-3). Let y = 18 + i. What is the units digit of y?
8
Suppose 0 = b - 4*b - 42. Let j(a) = a + 18. What is the units digit of j(b)?
4
Suppose 0*m = -5*m. Suppose m = -2*g - g + 90. What is the tens digit of g?
3
Let h be (-1)/((-2)/(-4)*-1). Suppose -2*z - h = -6. Suppose z = -5*c + 12. What is the units digit of c?
2
Suppose -b = 2*b - 192. Suppose -5*p + 20 = -p - x, -2*x = -3*p + 20. Suppose -4*f + b = 4*n, p*f - n - 22 = 42. What is the tens digit of f?
1
What is the units digit of 1/((-4)/(-80) - 0)?
0
Suppose 5*f = -5*r + 25, -37 = -4*r - 5*f - 13. Let q be (-1)/(-1) + -1*r. Suppose 2*j - 7 - 3 = q. What is the units digit of j?
5
Suppose 0 - 4 = y. What is the units digit of (y/6)/((-2)/27)?
9
Suppose -j - 2*j = -717. Suppose -4*g = -j + 79. What is the units digit of g?
0
Let k = 1 - -2. What is the units digit of k?
3
Let c = 0 - -2. Suppose -3*d = -4*d - 4*w + 10, d - 8 = -c*w. Suppose 3*z + 0*z = d. What is the units digit of z?
2
Let t = 2 + 3. Suppose 5 = -2*a + 1. Let p = a + t. What is the units digit of p?
3
Suppose 0 = -2*i - 0*h + 2*h + 158, 0 = -2*i + 4*h + 156. What is the tens digit of i?
8
Let d = -4 + 3. Let r = d + 1. Let g(s) = s**2 - s + 2. What is the units digit of g(r)?
2
Suppose -4*x + 2*x = -154. What is the units digit of x?
7
Let y = -16 - -16. Suppose y = 4*f - 2*f - 76. What is the tens digit of f?
3
Let k(w) = -w**3 + 5*w**2 + 5*w + 1. Let x = 16 - 10. Let j be k(x). What is the units digit of 0 + 2 - 10/j?
4
Let d(l) = -19*l - 2. What is the units digit of d(-1)?
7
Let k = -123 - -269. What is the units digit of k?
6
Let q(s) = -2*s - 1. Suppose 0*x - 3 = 3*x. What is the units digit of q(x)?
1
Let v be 6/3*(2 - 1). Suppose x + s - v = -x, -4*x = s - 2. Suppose x = 2*t + 2*t - 12. What is the units digit of t?
3
Let i(p) = 6*p**2 - p - 1. Let t(u) = u + 4. Let l be t(-5). Let c be i(l). Let k = -2 + c. What is the units digit of k?
4
Suppose 0 = -4*b - 4*b + 376. What is the tens digit of b?
4
Let o(r) = r**2 - 7*r + 12. What is the units digit of o(5)?
2
Let d be (-1)/((-1)/(-105)*-1). Let q be d/4 - 7/28. Suppose -22 = -4*s + q. What is the units digit of s?
2
What is the tens digit of ((-306)/21)/(5/(-35))?
0
Let v = 175 + -80. What is the units digit of v?
5
Let k be (6/(-7))/((-3)/21). Let x be 8*(-2 + 15/k). Suppose -3*i - 9 = x*r - r, -5*r + 25 = -5*i. What is the units digit of r?
1
Let p = 128 + -95. What is the units digit of p?
3
Let h(q) be the second derivative of 13*q**4/6 + q**2/2 - 3*q. What is the tens digit of h(1)?
2
Let q = 8 - 15. Let v = -5 - q. What is the units digit of v?
2
Let y(g) = -g**2 + 12*g - 5. Let j = 22 + -14. What is the tens digit of y(j)?
2
Let t(b) = -b + 8. Let g be t(6). Let o = 11 + -7. Suppose g*x + 7 = u, -6*x - 34 = -o*u - x. What is the tens digit of u?
1
Let m = 122 - 68. Suppose 4*u - 2*f = m, -2*u + 4*f - 8*f = -12. What is the units digit of u?
2
Suppose 0 = -v - 0*v - 12. Let x = v + 32. What is the tens digit of x?
2
Suppose 2*h + 13 = -5*s, s + 4*s + 17 = 2*h. Let g(l) = 26*l**3 - l + 1. Let p be g(h). Let m = p - 8. What is the units digit of m?
8
Let k(g) = g**3 - 7*g**2 + 7*g - 2. Let r be k(6). Let x = -18 + 26. Let p = x - r. What is the units digit of p?
4
Suppose -4*k - 2*v = -10, v - 2*v + 3 = k. Suppose -2*q - 2*u - 9 = -3, -2*q + k*u = -10. What is the units digit of q?
1
Suppose 2*h = 6*h - 140. Let a(u) = 5*u + 1. Let z be a(2). Suppose -4*r + h = z. What is the units digit of r?
6
Let w(j) = 3*j**2 + 6*j - 5. Let n be w(-6). Suppose -n = -4*s + 21. What is the units digit of s?
2
Let g(l) = -l**3 - 4*l**2 + 2*l + 3. Let h be g(-4). What is the units digit of ((-38)/(-4))/(h/(-10))?
9
Suppose -b + 1 = -q - 4, 3*q + 19 = 5*b. What is the tens digit of 4/(1/8*b)?
1
Let j(v) = 119*v + 2*v**2 + 3*v**3 - 120*v - v**3. What is the tens digit of j(2)?
2
Let o be (18/5)/((-1)/(-5)). Suppose 0 = -4*k + 4*h + 48, -3*h - o = k - 2*k. What is the units digit of k?
9
Let l(y) = 4*y - 3. Suppose -3*o = 6 - 15. What is the units digit of l(o)?
9
Suppose -2*w = -6*w - 36.
|
{
"pile_set_name": "DM Mathematics"
}
|
plify (i/(i**(6/7)*i)*i**(-4))/(i/(i/(i*i**(-3)))*i*i*i**10) assuming i is positive.
i**(-104/7)
Simplify ((v**(1/2))**(-1/6)*(v/(((v**(-2/3)*v)/v)/v))**14)**(3/4) assuming v is positive.
v**(447/16)
Simplify o**(-2)/o*o*o/o**(2/23)*(o**(1/3))**(-2/7) assuming o is positive.
o**(-571/483)
Simplify ((j**(-6))**(-1/25))**(-9/5) assuming j is positive.
j**(-54/125)
Simplify ((o/(o**1/o))**(2/13)/(((o/(o*o*o/o**(-2)*o))/o*o)/(o**5/o)))**43 assuming o is positive.
o**(5117/13)
Simplify (w**12*((w*w*w/(w*w*w/w**(-12/5)*w*w)*w)/w)/w)/(((w*w*w*w/((w*w*w**9)/w))/w)/(w/(w*w*w**(-5/6)*w*w))) assuming w is positive.
w**(343/30)
Simplify (r*r**(-1/6))**(-22/9)*(r/(r*r*(r**(-3)/r)/r*r*r*r*r)*r)/(r*(r*r**(8/7))/r) assuming r is positive.
r**(-601/189)
Simplify ((n/n**(-3/11)*(((n/(n*(n/(n*n/(n*n**(-8))))/n*n*n))/n)/n)/n*n)**(2/31))**6 assuming n is positive.
n**(828/341)
Simplify b**18/(b**0/b)*b**(2/3)*b/(b**18*b) assuming b is positive.
b**(5/3)
Simplify (x*x/(x**2*x)*x)**(-31/2)/((x/(x**(2/3)*x*x))/x**(2/11)) assuming x is positive.
x**(61/33)
Simplify (w/w**(-3/7))/w**8*w**(-1/17)*w**(1/6)*w assuming w is positive.
w**(-3901/714)
Simplify ((y**1/y)**25*(y/(y/(y**(2/9)*y)))**0)**(-30) assuming y is positive.
1
Simplify ((r*r**(2/29))/(r*r/(r*r*r**(2/53))*r*r))**(-39) assuming r is positive.
r**(53547/1537)
Simplify g*g/g**15*g*g**(2/9)*(g*g**(-2/9))/(g/g**(-1/13)) assuming g is positive.
g**(-157/13)
Simplify (((p*p/(p/(p*p*p/(p**(-8)/p)*p*p*p)))/p)/(p*p*p*p/(p*p/p**(-3/4)*p)))/(p**12/(p*p**(6/11))) assuming p is positive.
p**(189/44)
Simplify (u*(u*u**(2/67))/u)**(9/5)/(u**(-2)*u*u*u**(-29)) assuming u is positive.
u**(10336/335)
Simplify (y/y**(3/11))**(33/4)/((y/(y**27*y))/y**3) assuming y is positive.
y**36
Simplify h**2/h*h**8*(h**1*h)**(-2/99) assuming h is positive.
h**(887/99)
Simplify (m*m**(1/2)*m/m**(-1/8))/(m**7/(m*m**8/m)) assuming m is positive.
m**(29/8)
Simplify (n/(n*n*n/(((n/(n**(-1/6)/n)*n)/n)/n)*n*n))**(-2/3)/(n**4*n*n**(-4)) assuming n is positive.
n**(8/9)
Simplify (r**2/r)**(-12/7)/(r*r**(-6/7)*r**(-2/27)) assuming r is positive.
r**(-337/189)
Simplify (k**(-9/4)/k**(-10))/((k*k/(k/k**(1/8)))/k**(-2/5)) assuming k is positive.
k**(249/40)
Simplify l**(-13)/l**(4/5)*(l*l*(l**(-8)/l*l)/l)/l*l/(l*l/(l/(l/l**(-1/10)*l))) assuming l is positive.
l**(-239/10)
Simplify j**(-17)/(j*j**17*j)*(j**4)**(-11) assuming j is positive.
j**(-80)
Simplify l**(-14/3)*l**(-2/29)*l**(-2/21)*l*l**5/l assuming l is positive.
l**(103/609)
Simplify (v**(-1/46)*v/(v/v**(-1/5)))**(-42/5) assuming v is positive.
v**(1071/575)
Simplify (o**(-1/5)*((o*o**(-2/13)/o)/o*o)/o*o*((o/o**0)/o)**(-1))**40 assuming o is positive.
o**(-184/13)
Simplify ((a/(a**(-1)*a))**(4/17)/(a**(-2))**(-3/35))**(-8) assuming a is positive.
a**(-304/595)
Simplify ((p**(-2))**(-3/41)/(p*p*p/(p/(p/(p/(p*p**(-1/5)/p))))*p**4*p))**(4/7) assuming p is positive.
p**(-5456/1435)
Simplify (z**(-13)/z*z**(-21)*z)**26 assuming z is positive.
z**(-884)
Simplify (z/z**(-3/8)*z)/((z*z*z**(-6)*z)/z)*z**(-15)*z**19 assuming z is positive.
z**(83/8)
Simplify (i/(i/i**(-3/10)*i))**(-50)/((i/(i*i**(1/22)))/((i/i**(-2/11))/i*i)) assuming i is positive.
i**(1457/22)
Simplify ((o/o**(-2/33)*o**(-11)/o*o*o)/((o*o**(-1))/o**3))**(-2/127) assuming o is positive.
o**(392/4191)
Simplify ((o**(1/2))**0/(o*o**1)**(-49))**41 assuming o is positive.
o**4018
Simplify g/(g/g**(8/3))*g*g**(10/9)/g*(g*g*g*g**(-1/4)*g)/(g**(-2)/g*g) assuming g is positive.
g**(343/36)
Simplify ((b/(b*b*b**7)*b*b*b**5/b)/(b*(b*b**(-1/4))/b*(b/(b*b*b**(-2/15)))/b*b))**(-3) assuming b is positive.
b**(113/20)
Simplify (f/(f/(f/(f*f*f**(-1)*f*f))))**(2/41)/(f**0)**(-8) assuming f is positive.
f**(-4/41)
Simplify (h**(-14)*h)/(h/h**8)*h**(-3)*h*h**13*h*h assuming h is positive.
h**7
Simplify (p*(p/(p**2*p)*p)/p*p*p*p*(p/(p/(p*((p**(-2)/p)/p)/p)))/p)/(p**0)**(-5/12) assuming p is positive.
p**(-3)
Simplify (b*b**(-1/2)/b*b)**(-41)/(((b*b/(b/b**(2/11))*b)/b)/b**(1/3)) assuming b is positive.
b**(-1409/66)
Simplify m**(1/9)/m*m**(17/4)*(m/(m**(-2/15)/m))/m**(-7) assuming m is positive.
m**(2249/180)
Simplify ((m/(m*m**(-28)))/(m/m**(1/39)))**(-45) assuming m is positive.
m**(-15810/13)
Simplify (l*l/l**(1/13))/((l*l**3*l)/l)*l/(l/(l/((l*l**12*l)/l)))*l**(-15) assuming l is positive.
l**(-378/13)
Simplify (t*t/((t*t/(t/((t*t/(t/t**9))/t)*t))/t))/t*t**21*(t**(5/3)*t)/t**(-5/3) assuming t is positive.
t**(55/3)
Simplify ((o*o*o*o**1)**(2/93)*o**(1/6)/(o*o**(-7)))**5 assuming o is positive.
o**(5815/186)
Simplify (g**23/g**(-2/33))**(7/4) assuming g is positive.
g**(5327/132)
Simplify ((m/(((m**(-15)*m)/m)/m))/m**(-1/5))/(m**(-11)*m/m**(-15)*m) assuming m is positive.
m**(56/5)
Simplify (x*x/(x**(-1)*x)*x*x)/(x*x/(x/(x*x**(1/7))))*x**17*x/(x**(-2/21)/x) assuming x is positive.
x**(440/21)
Simplify (l*l**(-25)*l*l**(1/46)/l)**(-7) assuming l is positive.
l**(7721/46)
Simplify (l**2*(l*l/l**(-3)*l*l)/l*(l**0*l)**(-2/15))**(9/4) assuming l is positive.
l**(177/10)
Simplify (a/((a/((a/(a**(2/5)/a))/a))/a))**(-8)*(a*a**(-12))**(-40) assuming a is positive.
a**(2136/5)
Simplify ((a**(-3/2)/a*a*a)**(1/83)*(a**0)**28)**42 assuming a is positive.
a**(-21/83)
Simplify (u/(u*u**13*u))/u*u*u**4*(u/(u*u**(3/7)))**(-2/51) assuming u is positive.
u**(-1188/119)
Simplify (c**27/(c/c**(-7)*c*c))**(14/3) assuming c is positive.
c**(238/3)
Simplify ((b**7)**(3/28))**(-15/7) assuming b is positive.
b**(-45/28)
Simplify ((b/((b**2/b)/b))**(14/11))**45 assuming b is positive.
b**(630/11)
Simplify (r**(-3)/r**(-6/5)*(r/r**(2/5))/(r/(r/r**(2/15))))**(5/8) assuming r is positive.
r**(-5/6)
Simplify (g**(1/2))**(2/35)/(g/(g*g/(g*g**4*g)))**(2/85) assuming g is positive.
g**(-53/595)
Simplify (j/j**(-3/2))**(-2/21)*j**(-20)*j**(-3/5) assuming j is positive.
j**(-2188/105)
Simplify j**7/j*j/((j/j**(1/7))/j)*j*(j*j**(-2/7))/(j/(j/j**(-4/7))) assuming j is positive.
j**(66/7)
Simplify (c/c**33*c**(8/9))**(-27) assuming c is positive.
c**840
Simplify o**3/((o*o*o/(o/(o*(o*o*(o/(o/((o*o*o**(2/11)*o)/o)))/o)/o*o))*o)/o)*(o*(o/((o/o**(-12))/o))/o)/o**16 assuming o is positive.
o**(-332/11)
Simplify ((l**(-10/3)*l)**(-30))**(-1/12) assuming l is positive.
l**(-35/6)
Simplify ((l/(l/l**(-8)))**(-19))**(-34/5) assuming l is positive.
l**(-5168/5)
Simplify (r**18/(r**(-14)*r))/((r**(-5/2)*r)/(r/r**(1/3))) assuming r is positive.
r**(199/6)
Simplify n*n*n/n**(-15)*n**15/n*n/(n/n**(2/11)*n*n)*(n*(n/(n**9/n)*n*n)/n)/n assuming n is positive.
n**(266/11)
Simplify (r/((r**14/r)/r))/(r/(r*r*r/r**(-2/13)*r*r))*r**7*(r*r*r**(-2/19))/r assuming r is positive.
r**(259/247)
Simplify ((g*g/g**(1/4)*g*g)/(g/g**7))**(-25) assuming g is positive.
g**(-975/4)
Simplify ((f*f/f**0)**16/(f**1/f)**(30/7))**(5/6) assuming f is positive.
f**(80/3)
Simplify ((n*n**14)/(n*n/(n/n**(-24))))/(n*n*n**(2/27))**(-4/7) assuming n is positive.
n**(1058/27)
Simplify ((j**(2/31)*j**(-10))**(-6))**(32/7) assuming j is positive.
j**(8448/31)
Simplify (v*v**(-15/4)*v*(v**(3/5)/v)/v)/(v**(-1/10)/v**(3/7)) assuming v is positive.
v**(-367/140)
Simplify (q**(-11)*q**10)/(q/(q/(q*q/(q**(-4)*q)))*q**(-18)) assuming q is positive.
q**12
Simplify (z**(-10)/z*(((z**4/z)/z)/z*z)/z)/(z**(2/3)*z*z**(2/9)) assuming z is positive.
z**(-107/9)
Simplify s**(-24)/s**12*s*(s/(s**(3/5)*s))/s*s*s**(2/21) assuming s is positive.
s**(-3728/105)
Simplify (z*z**(-5))/z*z**(-23)*(z*z**(-4)*z*z*z)**(-13/6) assuming z is positive.
z**(-28)
Simplify (k**(-2/7))**(2/7)*k*k**(-13)*k**4*k assuming k is positive.
k**(-347/49)
Simplify ((k**7*k/k**5)/(k/k**(-3)*k*k*k*((k/(k**(-3/7)/k))/k)/k))**38 assuming k is positive.
k**(-1178/7)
Simplify (((a**(1/2)/a)/a*a*a**(-1/5))**(-4/11))**(1/3) assuming a is positive.
a**(14/165)
Simplify (((v**(2/89)/v*v*v*v)/(v/v**(3/13)))**(-17/4))**(-9) assuming v is positive.
v**(110925/2314)
Simplify (((s**(1/16)/s)/(s/(s/(s**(1/2)*s)*s)))**(-36))**(-27) assuming s is positive.
s**(-5589/4)
Simplify y**18/(y/(y/y**(3/11)))*y**14/(y**(1/11)/y) assuming y is positive.
y**(359/11)
Simplify (l/l**6*l/l**7*l*l)/(l**(4/5)/l**18) assuming l is positive.
l**(41/5)
Simplify (l**(1/5)*l/(l**(-2/43)*l)*l*(l/l**11)/(l*l*l*(l**0/l*l)/l))**(-5/18) assuming l is positive.
l**(1156/387)
Simplify q/(q**(17/2)/q*q*q*q)*q*q/q**(-2/31)*
|
{
"pile_set_name": "DM Mathematics"
}
|
.
2
Solve 0 = 5*x + 35 for x.
-7
Solve 0 = d - 2*d + 2 for d.
2
Solve -26 + 20 = -6*a for a.
1
Solve 0 = 16*g + 4*g - 120 for g.
6
Solve -91*h = -86*h - 25 for h.
5
Solve -2*w = -0*w + 12 for w.
-6
Solve -8 = 94*j - 93*j for j.
-8
Solve 24*o + 165 = -9*o for o.
-5
Solve -14*y + 10 = -16*y for y.
-5
Solve 10*r = 7*r - 15 for r.
-5
Solve 20*q - 1000 + 800 = 0 for q.
10
Solve -3*u = 2*u for u.
0
Solve 716 - 812 = 12*d for d.
-8
Solve -72 = -729*l + 737*l for l.
-9
Solve 1020*c = 1015*c - 35 for c.
-7
Solve 18*b = 4*b + 70 for b.
5
Solve 7*v + 3*v + 30 = 0 for v.
-3
Solve 0 = -12*i + 25*i - 52 for i.
4
Solve 330*q + 84 = 318*q for q.
-7
Solve -4*t - 4 = -16 for t.
3
Solve 5*z = -8*z + 26 for z.
2
Solve 75 = -2*z - 23*z for z.
-3
Solve 0 = -84*i + 92*i - 32 for i.
4
Solve 21*n = 16*n + 20 for n.
4
Solve -49 = 27*v + 32 for v.
-3
Solve 0 = 125*c - 70*c + 110 for c.
-2
Solve 0 = -4*v - 3*v + 14 for v.
2
Solve -175 = 5*j - 30*j for j.
7
Solve -16*n - 36 = -10*n for n.
-6
Solve 0 = -343*y + 338*y + 50 for y.
10
Solve 0 = -12*d + 19 + 53 for d.
6
Solve -470 + 450 = -4*j for j.
5
Solve -438 + 138 = -60*s for s.
5
Solve -203*w + 218*w - 45 = 0 for w.
3
Solve 0 = -5*l + 91 - 61 for l.
6
Solve -4*w + 2*w = 0 for w.
0
Solve -8*r = r - 45 for r.
5
Solve -9*q = -14 + 14 for q.
0
Solve 5*i = -i + 36 for i.
6
Solve 0 = -23*j - 155 - 29 for j.
-8
Solve -22*w = 3*w + 125 for w.
-5
Solve 0 = -17*s - 51 - 68 for s.
-7
Solve 3*g = 7*g - 4 for g.
1
Solve 0 = -50*b - 753 + 253 for b.
-10
Solve -84 = -69*i + 81*i for i.
-7
Solve 22*f - 42 = 43*f for f.
-2
Solve 76*z - 20 = 80*z for z.
-5
Solve -10*c = 41 + 9 for c.
-5
Solve -15*i + 8*i = 35 for i.
-5
Solve 19*p = -51 + 165 for p.
6
Solve 14*u - 9*u + 10 = 0 for u.
-2
Solve 22*k = 17*k + 15 for k.
3
Solve 32 = -14*p - 2*p for p.
-2
Solve -64 = 7*f - 78 for f.
2
Solve 0 = 7*p - 0*p - 7 for p.
1
Solve -92*g - 192 = -116*g for g.
8
Solve -x = 722 - 725 for x.
3
Solve -59*h - 35 = -52*h for h.
-5
Solve 19*n + 11 = 30*n for n.
1
Solve -79 = 26*n + 77 for n.
-6
Solve -107 + 77 = -10*t for t.
3
Solve 3*n - 28 = -19 for n.
3
Solve 4*q - 5 = 7 for q.
3
Solve 10*b + 22 = -b for b.
-2
Solve 81 - 263 = 26*y for y.
-7
Solve 0 = -30*f + 30 for f.
1
Solve 0 = 7*m - 13*m for m.
0
Solve -35*p = -27*p + 32 for p.
-4
Solve -41*b + 72*b - 124 = 0 for b.
4
Solve 22 = -18*j + 112 for j.
5
Solve 0 = 12*s - 952 + 1072 for s.
-10
Solve 0 = -4*g - 59 + 47 for g.
-3
Solve 0 = w - 6*w + 5 for w.
1
Solve -4*s - 207 + 187 = 0 for s.
-5
Solve -7*n - 16 - 5 = 0 for n.
-3
Solve 26*w - 35 = 199 for w.
9
Solve 19*u + 12 = 16*u for u.
-4
Solve 81*p = 80*p - 2 for p.
-2
Solve -4*c = 25*c - 145 for c.
5
Solve -251*t + 30 = -246*t for t.
6
Solve 4 = -114*o + 688 for o.
6
Solve -7*j - 18 = -4 for j.
-2
Solve 0 = -22*y + 11*y for y.
0
Solve -4*f - 9 = -29 for f.
5
Solve 40*j - 36*j = 24 for j.
6
Solve 0 = 4*v + 50 - 46 for v.
-1
Solve 8*q + 40 = -0*q for q.
-5
Solve 19*t = 21*t + 4 for t.
-2
Solve -108*u = -31*u - 385 for u.
5
Solve -9 - 131 = 28*p for p.
-5
Solve -11*l = -14*l - 3 for l.
-1
Solve -42 - 138 = 30*b for b.
-6
Solve -43*y - 48 = -177 for y.
3
Solve -16*z + 62 = -34 for z.
6
Solve 12 = 20*p - 28 for p.
2
Solve -83 = 46*v + 101 for v.
-4
Solve 3*d + 24 = 11*d for d.
3
Solve 3*m = 13*m - 60 for m.
6
Solve 11*q - 24 = 3*q for q.
3
Solve 6*s = -9*s + 30 for s.
2
Solve 0 = 3*i - 57 + 63 for i.
-2
Solve -875*k = -883*k - 72 for k.
-9
Solve 13*w - 27 = 38 for w.
5
Solve -5 = -9*r + 10*r for r.
-5
Solve 0 = 49*j - 59*j + 60 for j.
6
Solve 39 = -14*n + 27*n for n.
3
Solve -34 = 23*r - 172 for r.
6
Solve 2*w = -1472 + 1460 for w.
-6
Solve 16*j - 9*j = 14 for j.
2
Solve -335 = 20*q - 275 for q.
-3
Solve 34*m - 12 = -46 for m.
-1
Solve 17 = -2*h + 7 for h.
-5
Solve 40 = -12*r + 32*r for r.
2
Solve -105*j + 102*j + 12 = 0 for j.
4
Solve -8*x - 10 = -6*x for x.
-5
Solve 22*c - 23*c = -5 for c.
5
Solve 41 = 54*g + 365 for g.
-6
Solve 3*m + 1 - 25 = 0 for m.
8
Solve 0 = -5*j + 2 + 18 for j.
4
Solve -159 = -5*t - 134 for t.
5
Solve 26*u = 16*u + 40 for u.
4
Solve 33*w = 50*w - 51 for w.
3
Solve -168*b + 8 = -172*b for b.
-2
Solve 4*i + 11 = -5 for i.
-4
Solve 29*l - 33*l = -12 for l.
3
Solve 6*z + 24 = -6*z for z.
-2
Solve -2 = -4*k - 14 for k.
-3
Solve 91*f = 89*f + 2 for f.
1
Solve 46*y - 147 = -377 for y.
-5
Solve -32*s + 3 = -35*s for s.
-1
Solve 0 = -v + 46 - 44 for v.
2
Solve 0 = 88*w - 96*w - 16 for w.
-2
Solve 23*l = 38*l for l.
0
Solve 0 = 48*f - 10*f + 152 for f.
-4
Solve 309*q = 304*q + 30 for q.
6
Solve -12*j - 31*j = -43 for j.
1
Solve 0 = 6*v + 164 - 176 for v.
2
Solve 0 = 9*r + 9 + 9 for r.
-2
Solve 4*f + 10 = 6 for f.
-1
Solve 53*z - 15 = 38*z for z.
1
Solve -3 = 6*i - 3*i for i.
-1
Solve 107 = 23*c - 54 for c.
7
Solve 0 = -106*f + 95*f + 77 for f.
7
Solve -314*b - 15 = -317*b for b.
5
Solve -4*h + 8 = -8*h for h.
-2
Solve 138*u + 373 = -317 for u.
-5
Solve -10*o + 37*o = 108 for o.
4
Solve 2*a - 145 + 141 = 0 for a.
2
Solve -7*l + 38*l = -31 for l.
-1
Solve 6*j + 11 = 17*j for j.
1
Solve 20*g - 14*g = -18 for g.
-3
Solve -u - 8*u - 27 = 0 for u.
-3
Solve 452*t - 462*t = -70 for t.
7
Solve 59 + 76 = 135*j for j.
1
Solve 2 = -20*l + 19*l for l.
-2
Solve -306*r = -305*r - 1 for r.
1
Solve -8*c + c = 21 for c.
-3
Solve -35*m + 57*m = 44 for m.
2
Solve 0 = 14*f - 34 - 22 for f.
4
Solve -22*f - 108 = 32*f for f.
-2
Solve -4*c - 21 + 1 = 0 for c.
-5
Solve -10*v = 12 - 42 for v.
3
Solve 0 = -3*g + 133 - 142 for g.
-3
Solve -43*f = -14*f for f.
0
Solve -16*w = 76 + 36 for w.
-7
Solve 83*r + 2 = 82*r for r.
-2
Solve -3 - 2 = -5*s for s.
1
Solve -17*u - 85 = -0*u for u.
-5
Solve -7*i - 9*i - 32 = 0 for i.
-2
Solve 4 - 40 = -9*f for f.
4
Solve -80*d = -81*d - 3 for d.
-3
Solve -86 = -9*z - 23 for z.
7
Solve 0 = 49*l - 48*l - 3 for l.
3
Solve 0 = 7*j + 2*j + 72 for j.
-8
Solve 0 = 670*b - 689*b - 133 for b.
-7
Solve 0 = 23*q - 136*q - 452 for q.
-4
Solve -7*d = -10 - 18 for d.
4
Solve 118*j - 12 = 116*j for j.
6
Solve 0 = -15*c + 14*c - 5 for c.
-5
Solve 12*q = 1603 - 1591 for q.
1
Solve -70 = -26*d + 16*d for d.
7
Solve -24*u + 2 = -26*u for u.
-1
Solve 0 = 262*p - 251*p - 55 for p.
5
Solve -2*g + 18 = 10 for g.
4
Solve -36 = 95*n - 89*n for n.
-6
Solve 17*f + 40 = 9*f for f.
-5
Solve 3*k = -25 + 13 for k.
-4
Solve 4*n + 36 = 20 for n.
-4
Solve 0*h = -h for h.
0
Solve -3 = x - 4 for x.
1
Solve 13*u + 67 = -50 for u.
-9
Solve -1 + 56 = -11*p for p.
-5
Solve -311*d + 306*d + 10 = 0 for d.
2
Solve -46*c + 48 = -62*c for c.
-3
Solve -32*c = -18*c - 28 for c.
2
Solve 56 - 41 = -3*b for b.
-5
Solve -26 = 23*n + 43 for n.
-3
Solve b = 3*b + 6*b for b.
0
Solve -11*b + 304 = 403 for b.
-9
Solve 7*o + 11 = 18*o for o.
1
Solve 77*i + 148 - 764 = 0 for i.
8
Solve -5*f + 165 = 150 for f.
3
Solve -565*h + 560*h + 30 = 0 for h.
6
Solve 0 = -4*j - 5 - 15 for j.
-5
Solve -10*f - 44 = -4 for f.
-4
Solve 4*i - 9*i + 20 = 0 for i.
4
Solve 42*x = 7*x - 175 for x.
-5
Solve 120 = 66*l - 96*l for l.
-4
Solve -23*q = -33*q - 20 for q.
-2
Solve 2*x = -24 + 8 for x.
-8
Solve -41 + 25 = -4*s for s.
4
Solve t + 37 = 41 for t.
4
Solve -37*v + 167 = -129 for v.
8
Solve 20 = 894*j - 889*j for j.
4
Solve -658 = 6*n - 652 for n.
-1
Solve 29*a = -115 - 117 for a.
-8
Solve -21*y - 38 = -40*y for y.
2
Solve 15 = -9*i + 4*i for i.
-3
Solve -84 = 37*j + 212 for j.
-8
Solve -15*l + 20*l + 10 = 0 for l.
-2
Solve -4*y - 1 = -3*y for y.
-1
Solve 0 = -15*d - 48 - 12 for d.
-4
Solve 353*m + 112 = 367*m for m.
8
Solve -37*p = 1 - 1 for p.
0
Solve 0 = -10*f - 399 + 469 for f.
7
Solve 5 - 17 = -6*o for o.
2
Solve 0 = -5*h - 26 + 31 for h.
1
Solve 61*g = -94 - 272 for g.
-6
Solve -44*o + 91 = -85 for o.
4
Solve 3*r = -2*r - 0*r for r.
0
Solve 7 - 7 = -84*w for w.
0
Solve -4*u - 75 = 11*u for u.
-5
Solve -45 - 40 = -17*t for t.
5
Solve -22*d - 35 = -27*d for d.
7
Solve -43 + 37 = -2*f for f.
3
Solve -27*q + 33*q = 24 for q.
4
Solve 2*i + 28 = -5*i for i.
-4
Solve 30*l - 11*l - 76 = 0 for l.
4
Solve 2*p - 3*p = 6*p for p.
0
Solve -2*d + 2 = -8 for d.
5
Solve 33*r - 34*r = -2 for r.
2
Solve -j - 1 = -6 for j.
5
Solve -7*t + 3*t = -16 for t.
4
Solve 4*v - 12 = v for v.
4
Solve -6*r + 15 = -15 for r.
5
Solve -15*x = -13 + 73 for x.
-4
Solve -8*m = -224 + 200 for m.
3
Solve 0 = -124*i + 122*i - 18 for i.
-9
S
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -2*j + z*j - 32 = 0. Suppose 2*a + 6 = -4*x, x - 2*x - 2*a = 6. Solve -3*l + j*l = x for l.
0
Let q(p) = -p + 8. Let s be q(4). Suppose -30 = s*g - 9*g. Solve -2*m + g = -5*m for m.
-2
Suppose 6 = -2*n + 4*n. Suppose -3 = 2*f - 3*r, 0 = -5*f - 2*r - 1 + n. Let t be (-1)/((-1)/4) - 2. Solve f*b + t*b = -10 for b.
-5
Let v be 60/(-8) - 3/(-6). Let h = 12 + v. Solve -1 = -l - h for l.
-4
Let q(g) = -19*g - 3. Let l be q(-2). Suppose 5*s = o + 70, -s - 3*o + l = 5. Solve 2*d + s = -3*d for d.
-3
Suppose 93 = 13*g - 37. Solve m - 3*m + g = 0 for m.
5
Suppose -2*m + 1 = 3. Let i be (-4)/(-8)*8 - m. Solve -4*h = h - i for h.
1
Suppose 5*l + 28 = 3*h, -5*l = h - 5*h + 34. Solve f - h*f = 5 for f.
-1
Suppose 0 = -2*t - z + 1 - 3, -3*t + z + 7 = 0. Suppose 0*x + 5 = -r + x, 0 = 5*r + x + 1. Let m be (-10)/(-5) - (r - 1). Solve -m*i + t = -3*i for i.
1
Suppose -9*r = -11*r + 6. Solve -v + r*v = -10 for v.
-5
Let r(j) = j**2 - 7*j + 3. Let y be r(3). Let x be (-682)/6 + 3/y. Let f be x/(-27) + (-4)/18. Solve p - f*p = 15 for p.
-5
Let s = 2 - -2. Suppose -15 = -s*a + q, q + 18 = a - 4*q. Let h(z) = 13*z - 9. Let x be h(2). Solve -5*u - a - x = 0 for u.
-4
Let w(y) = -y**3 - 4*y**2 + 9. Let h be w(-3). Suppose 0*m = -4*m. Solve h*u + u - 3 = m for u.
3
Let w(u) = -2*u + 13. Suppose 0 = l - 3*l + 12. Let k(i) = i - 7. Let j(p) = l*w(p) + 11*k(p). Let x be j(0). Solve b - 2 = -x for b.
1
Suppose -51 = -8*i + 5*i. Solve -2 + i = 5*a for a.
3
Suppose 14 = 3*o + 5. Let h(f) = f**3 - 3*f**2 + 2*f - 4. Let v be h(o). Suppose m = -4*d + 6, 5*d + 0 = v*m + 1. Solve -4*r = -m*r for r.
0
Let d be (1 - 1) + (-3 - 1). Let w = 4 + d. Suppose w = -2*p + 4*p. Solve -2*m + 6*m = p for m.
0
Let r(c) = c**2 + 3*c - 10. Let m be (-34)/6 - (-4)/6. Let f be r(m). Solve f = -3*j - 0 - 9 for j.
-3
Suppose 2*x = -2*o - 4, -4*o + x = -8*o + 4. Let n(r) be the first derivative of r**2/2 + 7*r - 2. Let d be n(-7). Solve 7*z - o*z - 25 = d for z.
5
Let i(t) = -12*t**3 + t**2 + t + 1. Suppose 2*j + 2 = n, 2*n - 3 = -j + 4*j. Let s be i(j). Let k be 2/((-4)/2) + s. Solve 0*l + 4*l = -k for l.
-3
Let f(a) = 5 - a - 6 + 2. Let u be f(-11). Suppose -7*g - 3*k = -2*g - u, -g + 4*k = -7. Solve g*j + 2 = -1 for j.
-1
Let r be 2/6*1*-3. Let u = 11 + r. Solve 4*w + w = -u for w.
-2
Suppose -h = -4*b + 10, -3*b = -4*h - 15 + 1. Solve -b*x = 3*x - 5 for x.
1
Let l = -44 + 44. Solve 3*c - c = l for c.
0
Suppose -11*s + 13*s = 8. Solve q - s = 2*q for q.
-4
Suppose -15*b + 16 = -11*b. Solve -w + b*w + 3 = 0 for w.
-1
Suppose 0*b - 5*b = -15. Solve -b*p + 5*p = 10 for p.
5
Let g be -1 + 2 + -2 + 2. Suppose -3 = -j - g. Solve 3*t = -11 + j for t.
-3
Let f = -30 + 32. Solve -z = -f*z for z.
0
Let z = -93 - -147. Let f = -78 + z. Let j be 6/f - 37/(-4). Solve s - 4*s + j = 0 for s.
3
Let s be (-11 - -16)/((-10)/(-4)). Solve -s*i - 9 = -1 for i.
-4
Let k(n) be the third derivative of n**4/6 - 2*n**3/3 - 5*n**2. Let u be k(3). Solve -u = r - 5*r for r.
2
Let q = 3 + -11. Let w be (-1)/(1/3) - q. Solve 0 = w*d - 5 + 15 for d.
-2
Let u be -2*(50/(-4))/5. Suppose -u*j + 0*r + 51 = r, -j - 3*r = -13. Solve 0 = g + g + j for g.
-5
Let j = -2 - -7. Suppose 2*b = -2*q - 32, j*q + 0*q - b = -74. Let a be ((-8)/10)/(3/q). Solve -13 - 3 = -a*p for p.
4
Let i = -8 + 12. Suppose 0 = j, j - 10 = -3*z - i. Solve -1 - z = 3*h for h.
-1
Suppose -l - 2*l - 4*p = -1, 5*l - p = 17. Let r(s) = -s**2 - 8*s - 10. Let a be r(-6). Suppose i + 7 = 4*i + a*q, 0 = -2*i - l*q + 3. Solve t = -i + 1 for t.
-2
Suppose -5*r = -5*x - 70, -9 - 54 = -4*r - 3*x. Solve -7 = 2*j - r for j.
4
Let m = 2 + 1. Let u(w) = -w**2 + 3*w - 2. Let v be u(m). Let z = -1 - v. Solve -z = -0*t + t for t.
-1
Suppose s + 102 = 4*s. Suppose -10 = 4*w - s. Solve -4*j + w*j = -10 for j.
-5
Let a(l) = 2*l**2 - 24*l + 3. Let o be a(12). Solve 0 = -o*c + c for c.
0
Suppose -6*a = a - 21. Solve 0 = -2*u + a*u - 5 for u.
5
Suppose -l - 2*r = -25, 0 = 3*r - r + 4. Solve -5*k - 9 = -l for k.
4
Let o = 8 + -2. Solve 5*f - 2*f + o = 0 for f.
-2
Suppose -1 = -5*n + 9. Solve n*c = -3*c + 10 for c.
2
Suppose -x = 4*n - 9, n + 0*x - 15 = 4*x. Suppose 3*z = 3*q - 9, -4*z + 16 = n*q - 7. Suppose 2 = -3*m + q. Solve 11 = 2*k + m for k.
5
Suppose 6*w - 5*w - 4 = 0. Let n be w/(-8) + (-34)/(-4). Solve -t + n = 3*t for t.
2
Let c(g) = -g**3 - 12*g**2 - 13*g - 19. Let n be c(-11). Solve n*m + m = 0 for m.
0
Let f(x) = -2*x - 4. Let d(z) = -3*z - 5. Let n(o) = -4*d(o) + 5*f(o). Let b(m) = 5*m - 1. Let u(w) = 3*b(w) - 7*n(w). Let a be u(5). Solve -a*l = 1 + 9 for l.
-5
Suppose -7*h + 140 = -0*h. Solve 5*j + 0*j + h = 0 for j.
-4
Let f = 0 - 13. Let d = -8 - f. Solve -4 = d*v + 6 for v.
-2
Let q(i) = -i + 12. Let h be q(9). Suppose -23 = -h*s + 7. Suppose -3*f + 32 = -4*k, 3*f - 7*f + 4*k + 36 = 0. Solve s = -a - f*a for a.
-2
Let h(n) = -n - 4. Let z be h(-5). Let m be (z*-2)/(1 - -1). Let w be (-2)/8 + m/(-4). Solve w = -3*p - 0*p - 3 for p.
-1
Suppose y + 4 = 6. Solve 0*r = -y*r for r.
0
Let l(w) = -w + 9. Let o be l(7). Let k be ((-1)/(-3))/(2/30). Suppose 0*r - k*r = -15. Solve -r*q + o = -2*q for q.
2
Let t(a) = -a**2 - 4*a + 23. Let u be t(-7). Solve -c - u = -2*c for c.
2
Let t be ((-31)/(-62))/(0 + 2/12). Solve -b - 2 = -t*b for b.
1
Suppose 4*a = -a. Solve -z - 3*z = a for z.
0
Let j be 7/14 - (5/(-2) + 0). Solve -a + 2 = -j*a for a.
-1
Let h(j) = j**3 - j**2 + 6. Let s be h(0). Suppose 3*q = 8*q + k - 6, -4*q = -4*k - 24. Solve -s*i - 12 = -q*i for i.
-3
Let m = 0 + 5. Solve o - m + 0 = 0 for o.
5
Suppose p - 23 - 1 = -3*y, 152 = 5*p - y. Suppose -z + 6*z - p = 0. Solve 2*h = z*h + 4 for h.
-1
Let o be (3 - (-1 - (-2 - 3)))*0. Solve -5*f + 21 - 6 = o for f.
3
Suppose -11*f + 10*f = -4. Solve f*a = 2*a for a.
0
Let u(q) = 7*q**2 + q. Let v = 14 - 13. Let l be u(v). Solve 2*d - l = -2*d for d.
2
Suppose -6 = b - 0. Let g(p) = -5 + 6 + p + 5. Let r be g(b). Solve 2*k + 2*k - 16 = r for k.
4
Let b(t) = 3*t**2 + t. Let p be b(-1). Solve 0*q + p*q = -10 for q.
-5
Let h(i) = -i**2 - 2*i - 1. Let b be h(-1). Suppose -3*v + 7 = 4*s, b = -5*s + 2*v - 0*v + 26. Solve -s*z = -z - 12 for z.
4
Suppose 0 = -2*b - 3*a + 11, -5*b - 2*a = -a - 34. Solve -5 = -3*o + b for o.
4
Suppose -5*f - n - 36 = -0*n, -n + 28 = -3*f. Let i(b) = -b**3 - 8*b**2 - b - 3. Let c be i(f). Solve -4*j + 1 = c for j.
-1
Suppose 3*y = -10*y. Solve 4*o + 2 + 2 = y for o.
-1
Suppose 2 + 4 = 3*m. Let d(w) = -w**3 + w + 6*w**2 - 7*w**2 - 3 - 2*w**m. Let b be d(-4). Solve 2*y = -y - b for y.
-3
Let k(x) = -x**2 - 15*x + 6. Let h be k(-17). Let m be 3/(-21) - 116/h. Solve -i = -m*i for i.
0
Let a be 1*(-1 - -1 - 0). Let d = a - -1. Let h = 7 + -4. Solve 0 = -u + d + h for u.
4
Suppose b - 3*i + 13 = 0, -14 = 2*b - 0*b - 2*i. Let q be -5 + 3 + 1 - b. Suppose -4*m + 4*v = -32, 0 = q*m - 3*v + 4*v - 4. Solve -8 = m*d + 7 for d.
-5
Suppose -6*l + 45 = 3*l. Solve 3*t = 4*t - l for t.
5
Let y be 3 + (-66)/(-42) + (-8)/14. Solve 19 = -y*f - 1 for f.
-5
Let d(b) = 4*b - 3. Let c be d(-4). Let x = -13 - c. Solve x = -4*r + 26 for r.
5
Let l(c) = c**3 - 7*c**2 + 7*c + 4. Let p be l(6). Let w be (p - 11) + 10/2. Solve -w*a - 2 = -3*a for a.
-2
Let v = -2 + 3. Suppose -4*y - 15 - 9 = 2*d, -4*y - 32 = -2*d. Let u(r) = r**3 + 6*r**2 - 8*r - 7. Let x be u(y). Solve k + x + v = 0 for k.
-1
Let o = 61 + -61. Let s be (5 - 1) + -1 + -1. Solve 0 = -o*f + s*f for f.
0
Let r(v) = v**2 - 4*v + 4. Let z be r(3). Suppose -2*c - 5*y - 6 = 0, 11 + z = 4*c + 4*y. Solve 4*d - 13 = c for d.
5
Let f(l) = 3*l**3 + 8*l**2 + 12*l - 9. Let t(n) = 2*n**3 + 5*n**2 + 8*n - 6. Let z(u) = -5*f(u) + 7*t(u). Let q be z(-4). Solve -q*h + 0 = -3 for h.
1
Let r be (-5)/(-2)*(-12)/(-15). Suppose -4*b = 2*c - 2, 0*b - c = b + 1. Suppose g + b = -z + 3, 4*g - 2*z + 2 = 0. Solve g*w - r*w = 2 for w.
-1
Suppose 10*s = 9*s. Solve 5*a = -s*a - 15 for a.
-3
Let n = -1 - 4. Let q(z) = -z**3 - 6*z**2 - 4*z + 6. Let f be q(n). Solve -h - f = -5 for h.
4
Let x = -17 - -20. Solve x*v = v + 4 for v.
2
Let u(f) = -2*f - 1. Let c be u(-3). Suppose -15 = -c*z, 0*n - 6 = 2*n - 2*z. Solve -s - 4*s + 10 = n for s.
2
Let c(m) = -m**3 - 13*m**2 + 16*m + 19. Let o be c(-14). Let l be (10/2)/(o/(-27)). Solve -4*v + 5 = -l for v.
5
Let z be 6/(-21) - (-37)/7. Let g(l) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
w many minutes are there between 12:34 AM and 1:51 AM?
77
What is 652 minutes before 6:23 PM?
7:31 AM
What is 700 minutes before 12:21 AM?
12:41 PM
How many minutes are there between 4:45 AM and 7:46 AM?
181
How many minutes are there between 10:41 PM and 5:27 AM?
406
What is 252 minutes before 9:16 AM?
5:04 AM
What is 195 minutes after 4:37 PM?
7:52 PM
How many minutes are there between 2:12 PM and 7:08 PM?
296
What is 416 minutes after 6:09 AM?
1:05 PM
What is 482 minutes after 6:57 PM?
2:59 AM
What is 60 minutes before 5:38 AM?
4:38 AM
What is 251 minutes before 4:07 AM?
11:56 PM
How many minutes are there between 3:00 PM and 8:05 PM?
305
What is 274 minutes after 5:23 AM?
9:57 AM
How many minutes are there between 4:18 PM and 3:23 AM?
665
How many minutes are there between 12:52 AM and 9:04 AM?
492
What is 255 minutes after 8:46 AM?
1:01 PM
What is 41 minutes after 3:27 PM?
4:08 PM
What is 209 minutes after 12:50 PM?
4:19 PM
How many minutes are there between 2:09 AM and 1:58 PM?
709
What is 538 minutes before 7:46 AM?
10:48 PM
How many minutes are there between 10:55 AM and 1:03 PM?
128
How many minutes are there between 3:26 AM and 6:22 AM?
176
How many minutes are there between 11:13 PM and 4:08 AM?
295
What is 719 minutes before 6:20 PM?
6:21 AM
How many minutes are there between 12:19 PM and 3:06 PM?
167
What is 591 minutes before 3:44 PM?
5:53 AM
How many minutes are there between 7:06 PM and 6:38 AM?
692
What is 616 minutes after 2:32 AM?
12:48 PM
What is 121 minutes after 6:54 AM?
8:55 AM
What is 128 minutes after 6:05 PM?
8:13 PM
How many minutes are there between 8:42 AM and 9:59 AM?
77
What is 359 minutes before 9:43 PM?
3:44 PM
What is 585 minutes before 1:44 AM?
3:59 PM
How many minutes are there between 12:08 PM and 8:53 PM?
525
How many minutes are there between 4:43 PM and 8:39 PM?
236
How many minutes are there between 9:56 PM and 1:23 AM?
207
How many minutes are there between 10:13 PM and 8:12 AM?
599
What is 707 minutes before 1:49 AM?
2:02 PM
How many minutes are there between 3:08 PM and 3:19 PM?
11
How many minutes are there between 9:46 AM and 12:33 PM?
167
How many minutes are there between 11:08 PM and 9:49 AM?
641
What is 107 minutes before 8:22 PM?
6:35 PM
How many minutes are there between 7:30 AM and 1:55 PM?
385
How many minutes are there between 6:40 AM and 11:29 AM?
289
How many minutes are there between 6:53 AM and 2:46 PM?
473
What is 191 minutes after 1:29 AM?
4:40 AM
What is 457 minutes before 12:46 AM?
5:09 PM
How many minutes are there between 9:49 PM and 3:04 AM?
315
How many minutes are there between 1:34 AM and 3:24 AM?
110
How many minutes are there between 12:42 AM and 6:07 AM?
325
How many minutes are there between 9:08 AM and 12:12 PM?
184
How many minutes are there between 5:14 AM and 2:23 PM?
549
How many minutes are there between 4:01 PM and 1:10 AM?
549
What is 283 minutes after 2:12 PM?
6:55 PM
What is 371 minutes after 5:18 PM?
11:29 PM
How many minutes are there between 3:07 AM and 1:03 PM?
596
How many minutes are there between 12:11 PM and 9:18 PM?
547
What is 323 minutes before 5:52 PM?
12:29 PM
How many minutes are there between 3:42 PM and 1:25 AM?
583
What is 266 minutes after 10:34 PM?
3:00 AM
How many minutes are there between 3:47 AM and 7:53 AM?
246
How many minutes are there between 12:29 PM and 8:29 PM?
480
What is 599 minutes after 11:36 AM?
9:35 PM
What is 173 minutes before 2:07 AM?
11:14 PM
How many minutes are there between 8:46 PM and 9:19 PM?
33
What is 472 minutes before 1:36 AM?
5:44 PM
What is 274 minutes before 3:58 AM?
11:24 PM
What is 359 minutes before 6:17 PM?
12:18 PM
How many minutes are there between 6:10 PM and 3:58 AM?
588
How many minutes are there between 11:44 AM and 11:46 AM?
2
How many minutes are there between 8:33 PM and 9:25 PM?
52
How many minutes are there between 7:36 PM and 1:07 AM?
331
How many minutes are there between 1:47 AM and 9:49 AM?
482
How many minutes are there between 5:39 AM and 3:15 PM?
576
How many minutes are there between 6:18 PM and 12:31 AM?
373
How many minutes are there between 9:53 AM and 10:52 AM?
59
How many minutes are there between 12:58 AM and 11:45 AM?
647
What is 699 minutes before 4:32 AM?
4:53 PM
What is 416 minutes before 5:18 PM?
10:22 AM
How many minutes are there between 1:35 AM and 10:38 AM?
543
What is 244 minutes after 9:26 AM?
1:30 PM
What is 667 minutes before 11:57 AM?
12:50 AM
How many minutes are there between 4:11 AM and 1:27 PM?
556
How many minutes are there between 1:06 AM and 2:37 AM?
91
How many minutes are there between 4:55 AM and 10:36 AM?
341
How many minutes are there between 9:34 PM and 12:39 AM?
185
How many minutes are there between 2:18 PM and 1:46 AM?
688
How many minutes are there between 8:13 AM and 7:56 PM?
703
What is 67 minutes after 12:20 PM?
1:27 PM
How many minutes are there between 8:07 AM and 12:33 PM?
266
What is 697 minutes before 5:16 PM?
5:39 AM
What is 371 minutes before 5:21 AM?
11:10 PM
What is 582 minutes after 4:46 PM?
2:28 AM
What is 56 minutes after 11:33 PM?
12:29 AM
How many minutes are there between 12:41 AM and 7:45 AM?
424
How many minutes are there between 6:44 AM and 9:22 AM?
158
What is 152 minutes before 7:30 AM?
4:58 AM
How many minutes are there between 4:27 PM and 5:27 PM?
60
What is 165 minutes after 2:06 PM?
4:51 PM
What is 128 minutes after 5:06 AM?
7:14 AM
How many minutes are there between 9:38 PM and 11:48 PM?
130
What is 42 minutes before 2:43 AM?
2:01 AM
How many minutes are there between 11:08 PM and 9:28 AM?
620
How many minutes are there between 9:39 AM and 11:23 AM?
104
How many minutes are there between 7:47 PM and 2:25 AM?
398
How many minutes are there between 6:51 AM and 9:36 AM?
165
What is 20 minutes after 9:50 PM?
10:10 PM
What is 714 minutes before 11:28 PM?
11:34 AM
What is 359 minutes before 2:03 PM?
8:04 AM
What is 480 minutes after 6:54 AM?
2:54 PM
How many minutes are there between 3:36 PM and 7:42 PM?
246
How many minutes are there between 7:56 AM and 7:16 PM?
680
What is 446 minutes after 2:03 PM?
9:29 PM
What is 127 minutes after 1:14 PM?
3:21 PM
What is 264 minutes before 9:13 AM?
4:49 AM
How many minutes are there between 9:24 AM and 3:08 PM?
344
What is 652 minutes after 3:04 AM?
1:56 PM
What is 136 minutes after 10:23 AM?
12:39 PM
How many minutes are there between 11:58 PM and 6:56 AM?
418
How many minutes are there between 7:17 AM and 8:55 AM?
98
How many minutes are there between 10:24 PM and 3:39 AM?
315
What is 400 minutes before 9:21 PM?
2:41 PM
What is 677 minutes after 12:42 AM?
11:59 AM
How many minutes are there between 7:19 PM and 9:48 PM?
149
What is 315 minutes after 5:44 AM?
10:59 AM
What is 325 minutes before 8:15 AM?
2:50 AM
What is 691 minutes before 8:19 AM?
8:48 PM
What is 332 minutes after 6:06 AM?
11:38 AM
What is 317 minutes after 9:15 AM?
2:32 PM
How many minutes are there between 2:05 AM and 4:24 AM?
139
What is 423 minutes before 6:52 PM?
11:49 AM
What is 185 minutes before 7:07 PM?
4:02 PM
What is 467 minutes before 7:02 AM?
11:15 PM
What is 148 minutes after 12:06 PM?
2:34 PM
How many minutes are there between 9:00 PM and 6:30 AM?
570
How many minutes are there between 10:54 AM and 12:22 PM?
88
How many minutes are there between 8:36 PM and 8:05 AM?
689
What is 171 minutes before 7:23 PM?
4:32 PM
What is 20 minutes after 4:28 AM?
4:48 AM
What is 687 minutes before 12:09 PM?
12:42 AM
How many minutes are there between 9:38 PM and 7:19 AM?
581
How many minutes are there between 10:40 AM and 11:30 AM?
50
How many minutes are there between 4:24 PM and 7:15 PM?
171
How many minutes are there between 8:13 AM and 12:56 PM?
283
How many minutes are there between 4:58 PM and 11:48 PM?
410
What is 576 minutes after 10:24 PM?
8:00 AM
What is 703 minutes before 9:27 AM?
9:44 PM
What is 707 minutes after 9:49 AM?
9:36 PM
What is 690 minutes before 9:12 PM?
9:42 AM
What is 661 minutes before 11:21 AM?
12:20 AM
How many minutes are there between 9:30 AM and 3:36 PM?
366
How many minutes are there between 4:33 PM and 7:13 PM?
160
What is 176 minutes after 10:47 PM?
1:43 AM
What is 374 minutes after 2:42 AM?
8:56 AM
What is 624 minutes after 2:56 PM?
1:20 AM
How many minutes are there between 11:33 PM and 6:
|
{
"pile_set_name": "DM Mathematics"
}
|
a be (2/(-5))/((-14)/30)*49. Let g = -39 + a. Solve -4*h = -4, 5*n + g*h + h + 1 = 0 for n.
-1
Let d(r) = -2*r + 1. Let m be d(0). Suppose -4*o + 4*l = -40, 0 = -4*o - 4*l - m + 49. Solve -3*u + 4 + o = 0, -45 = 5*n - 4*u for n.
-5
Let j(k) = -k**2 + 2*k + 3. Let p be j(0). Suppose 6*q = 5*q + p. Solve 3*m - 2 = -4*r, m - 2*r + q*r = 1 for m.
2
Suppose 3 = -j - 0*j. Let z(k) = k**2 + k - 4. Let w be z(j). Suppose 0 = w*t + 10 - 28. Solve h - 3 = m - 0, -m = 2*h + t for m.
-5
Suppose 25 = -7*t + 12*t. Let k(d) = -4 + t*d**2 - 4*d**2 + 2 - d. Let l be k(-2). Solve -15 = 5*o, 3 = l*g + 3*o - 4*o for g.
0
Let f be (-7 + 1 - 2) + 12. Solve -4*h = -3*h - l + 1, 3*h = f*l - 7 for h.
3
Let j be (-3 + 0)*-9 - 3. Suppose -h - 3*h = -j. Suppose 3*y + 0*o = o - 1, -4*o + 4 = 2*y. Solve z + 4*b - 3 = 0, y*z + h = 2*z - 3*b for z.
3
Let s be 0 + (1 - (-6)/2). Suppose 3*o - 59 = -4*w, -2*o - s*w + 101 = 3*o. Let u = o - 12. Solve l - 2*l - 3 = 2*h, -3*l = 4*h + u for l.
-3
Let o(i) = i**2 + 3. Let b = -16 + 16. Suppose -2*v - 5 = -3*p - 4, b = -v - 5. Let t be o(p). Solve l + 0*f + t = 4*f, -2*l + 4 = -f for l.
4
Suppose 5*v - 154 = 286. Suppose 0 = -4*y + 4*f + v, -4*f = -9*f. Let q = 28 - y. Solve -2*c + 0*z + q = z, 0 = -5*c + 3*z + 4 for c.
2
Suppose -6*g - 4*m + 280 = -g, 0 = -2*g - 3*m + 105. Suppose 0 = -2*j - j - g. Let z = j - -24. Solve -l - c = 3*c + 2, z*l - 5*c = 13 for l.
2
Let y be (8 - (11 - 8))*1. Let x(n) = -n + 4. Let v be x(3). Let h be (-2 + v)*5/(-1). Solve -d + 0 + y = 2*b, h*d + 8 = b for b.
3
Suppose -4*s - 23*s = -6*s. Solve 0*z - 15 = 4*z - 5*c, s = -3*z + 5*c - 10 for z.
-5
Suppose 0 = 5*m + 5, 4 = a + 2*m - 4*m. Suppose q - 32 = 5*c - a, 3*q + 4*c = -5. Solve 2*s = q*d + 26, -d - d + 5*s = 23 for d.
-4
Suppose 3*c = -5*y + 11, -c + 3*c = -2*y + 6. Let k be (4 - 4 - 0)/y. Solve 0 = 3*j - 9, b = -k*j - j + 1 for b.
-2
Suppose 0 = -6*n - 507 + 531. Solve -2*y = n*o + 12, 12 + 7 = -4*y - 3*o for y.
-4
Let p(m) = -m**3 + 5*m**2 - 6*m + 3. Suppose l + 3*f + 7 = -0*f, -5*f = 5*l + 5. Let q be p(l). Solve q*v = -2*s, 0 = -v - s - 6 + 5 for v.
2
Let l be ((-2)/(-5))/((-5)/125). Let w = 15 + l. Solve -2*u = -j + 2, -w*u + 1 = -j + 3 for u.
0
Let h(r) = r**3 - r**2 - r + 43. Let x be h(0). Suppose -5*f + 2 = -x. Solve 2*n - 5*u = -f*u, 2*n - 3 = -u for n.
2
Let t be (-4)/(-1) - (-8 - -5). Suppose -k - 5 + t = 0. Suppose k*p = -3*p. Solve p = x - 3, -5*g + x = -22 for g.
5
Suppose -3216*b + 3229*b - 39 = 0. Solve 6 = 7*s - 4*s - 2*x, -3*x + 6 = b*s for s.
2
Let f(r) = 5*r - 7. Let u be f(2). Suppose -8 = -3*g + a, u*a - 16 = -2*g + 4. Solve g*s - 4*w = -8, -s + w = 2*s - 2 for s.
2
Let q(p) = -1 - 8 - 3*p + 17 + 6. Let n be q(4). Solve -n*d + 10 = -3*d - 4*l, -4*l = 4*d + 16 for d.
-2
Suppose 9*o = 14*o. Let p be 5 + -2 + 0/(-2). Solve -p*a = 4*w + 15, 5 = -o*w + w - a for w.
0
Suppose 6 = 6*q - 18. Suppose 0*s - 11 = -q*z - s, 3*z - 5*s = 37. Solve -z*w - o + 16 = -0*o, 2*o = -5*w + 17 for w.
5
Suppose 7*l + 134 - 148 = 0. Solve -l*p - 9*a + 7*a - 10 = 0, -p = -2*a - 1 for p.
-3
Let z(i) = i**3 - 4*i**3 + 4 - i - 2*i**3 + 3*i**2 + 6*i**3. Let k be z(-3). Let c(x) = 3*x - 15. Let w be c(k). Solve 2*o - 10 = 0, l + 3*o = w*l + 30 for l.
-3
Let c = -545 + 567. Solve -5*b - c = 2*d, -b = d + 1 + 4 for b.
-4
Suppose 0 = -7*o + 115 + 4. Suppose -3*c = -7*c, 25 = 5*b - 2*c. Solve 0 = -4*u - b*w + 16, 5*u - o = 2*u - 5*w for u.
-1
Let a be (6 - 671/110) + (-62)/(-20). Suppose 3*b = -m - 1, -5*m = 5*b - 0*b - 5. Solve -5*f - 17 = -4*s, -a*f - 5 = -m for s.
3
Let t = -47 - -49. Solve 5*y = 5*a - 10, a + t*y = -2*a - 9 for a.
-1
Suppose -5*r + 28 = 4*a, -37*a + 38*a + 4 = -4*r. Solve -2*t - c + a = 1, -3*t = 5*c - 20 for t.
5
Let r(v) = -7*v - 206. Let h be r(-30). Solve 0 = i - 2, 2*d - 10 = d - h*i for d.
2
Let u = 1 + 3. Let c(p) = p + 4. Let l = 31 - 28. Let j be c(l). Solve 23 = 3*a - j*a - 3*n, -u*a = 5*n + 25 for a.
-5
Let b = -997 - -1001. Solve 3*m - 5*k = -21 - 14, -b = -k for m.
-5
Let f = 26 + -20. Suppose f*d - 23 + 11 = 0. Solve -4*j = -d*h - 4, 4*h = 5*j - 3*j - 2 for h.
0
Let j = 77 + -72. Let u(c) = -2*c**3 + 9*c**2 + 7*c - 6. Let y be u(j). Solve 0*h - y*f = -h + 10, -4*h - 3*f + 2 = 0 for h.
2
Suppose 2*a + 3 = 5*j, 4*a - 8*a + 3 = -j. Solve 2*l - j = l, -4*l = -n for n.
4
Suppose -3*p - 5*v = -6*p + 8, 4*p - 4*v = 24. Solve -3 = 4*c + 3*w - p, 5*w = -3*c - 5 for c.
5
Let y = 2580 - 2575. Let r = 2 + 0. Solve -r*k = y*f - 15, 0*k = -4*k + 20 for f.
1
Suppose 5*o - o + 5*z = 0, 2*z = 5*o. Solve 2*h + 15 = -3*h - 5*f, -3*h + 3*f + 9 = o for h.
0
Suppose 7*r + 38 = 129. Suppose -2*k + g = 6*g - r, 2*g + 10 = 3*k. Solve o - 3*x - k = 0, -2*x = -4*o + 3*x + 2 for o.
-2
Suppose 1 = 9*s + 1. Suppose s = -7*l + 4*l. Solve 0 = 2*k + 4*h - 18, k + 1 = 3*h - l*h for k.
5
Let g be 1 + 2 - (5 - -9). Let k = -1 - g. Solve -3*c - 3*s - 31 + k = 0, -3*c - 25 = 5*s for c.
-5
Let j(c) = c + 12. Suppose -2*s + 3 - 1 = 0. Suppose -2*o - s - 23 = -2*r, -r - 33 = 4*o. Let k be j(o). Solve l - 3*a - k = -5*a, 5*l = -4*a + 3 for l.
-1
Suppose 3*b - 167 + 62 = 0. Solve 3*q - 4*u = b, 0 = 4*q - 2*q - u - 15 for q.
5
Let a = -978 + 980. Solve -i + 0*q - a*q - 4 = 0, 2*i = -2*q for i.
4
Let s = -40 + 33. Let k(p) = -p**2 - 7*p + 4. Let r be k(s). Solve 16 = -5*a - j, -a + 9 = r*j - 3 for a.
-4
Let a be -3 + (-9)/(-3) + 3 + -3. Solve 2*l = 3*k + 19, a = 5*l - 5*k - 0*k - 40 for l.
5
Suppose -2*o - 3 = -9. Let m = 58 + -33. Suppose 0 = 5*j - 5*a + 5, 3*a - 9 = 5*j - 6. Solve 3*z - 19 = 5*g, -5*z - m = o*g - j*g for z.
-2
Let g(u) = -26*u**3 + u**2 - 6*u - 7. Let x be g(-1). Solve 4*s + 4 = -4*d, -5*s = -3*s - 4*d + x for s.
-5
Let l(g) = g**3 + 8*g**2 - 9*g. Let y(n) = 4*n + 5. Let t be y(-7). Let b = 14 + t. Let i be l(b). Solve 4*u + 2*h + h - 10 = i, 5*u - 5*h = -5 for u.
1
Let o(u) = 5*u - 3. Let j be o(-3). Let l(t) = t**3 + 17*t**2 - 19*t - 15. Let y be l(j). Solve -3*s = -3*p, 8 = y*s - 7*s for p.
-2
Let n be (765/(-68))/((-3)/8). Let d = 32 - n. Suppose 0 = 2*y - y + d*f - 23, -4*y + 140 = -4*f. Solve -5*c - y + 6 = -5*t, 4*c - 2*t = -16 for c.
-3
Suppose -219 + 1099 = 11*m. Suppose -75*n - 10 = -m*n. Solve -2*x = 3*d + n, x = 4*d + d - 14 for d.
2
Suppose 0 = -3*f - 0*f + 9. Let c be 2/(-3) - 1081/(-69). Suppose 0 = -0*y + y + 5*u + c, 0 = 4*y + 4*u - 4. Solve -3*p + 10 = -5*j, -p = f*j - y*j - 3 for p.
5
Let p = -24 + 22. Let i be (4/4)/(p/(-16)). Solve 2*m = -3*d - 3*m - i, -5*d - 5*m = 0 for d.
4
Let n be (-1)/7 + 162/(-42). Let d be (-1)/(1*1/n). Solve 4*l + 8 = -3*b - b, 2*b + 5*l + d = 0 for b.
-2
Suppose 6 = -0*c + 2*c. Let r be 2 - c/(3/(-1)). Suppose 0 = -r*q - p + 10, 2*p + 3 = -1. Solve q*x = -g + x + 5, 4*g - 5*x = 20 for g.
5
Suppose 2*q = -5 - 35. Let j = -20 - q. Solve j = -3*c + m + 10, -c + 2*m + 18 = -2*m for c.
2
Let m = -3 + 7. Suppose -4*s + 18 = -0*s - 2*y, 0 = 4*s - 5*y - 21. Let j be s/8*-2 + 12. Solve 0 = i + 3*w - j, -3*i - 2*i + 2*w = -m for i.
2
Suppose -2*d = -0 - 4. Solve 3*x + 3*q - 4 = 2, 5 = 3*x + d*q for x.
1
Let u(y) = 2*y + 31. Let w be u(-8). Solve -5*i - w = a - i, a + i + 3 = 0 for a.
1
Let q = -10 - -27. Let a = q + -15. Let n be (9 - 12)/(a/(-6)). Solve -3*j + n = 0, -2*o + 10 = 3*j - 7 for o.
4
Suppose -2*p - 20 + 0 = -5*y, 0 = 5*y - 4*p - 30. Suppose -24 = -5*k + k + w, k - y*w - 6 = 0. Solve 3*t = -k, -2*z - t - 12 = 3*t for z.
-2
Suppose -3*a + 30 = 4*h, -93*a = -2*h - 94*a + 14. Solve 5 = -5*i - q, -2*q = -5*i - h*q + 10 for i.
-2
Let f be ((-16)/24)/1*-9. Solve u - 6 + 9 = -3*h, -h = -2*u - f for u.
-3
Suppose 7*x + 33 = -100. Let b = -17 - x. Let a be (-1)/(2 + -3) - -2. Solve a*d = -2*d + 4*k + 11, -b*k = -4*d + 10 for d.
3
Let c(w) = 10*w + 16. Let s be c(6). Suppose 14*n + 5*n = s. Solve x + 3*d - 5 = 0, 0 = -n*x - 0*d + d + 7 for x.
2
Suppose 2*s - 14 = -4*y, -19 = -5*s - 4. Solve -p - 28 = -5*j, -2*p + y*j - 1 = -5*p for p.
-3
Let n(a) be the third derivative of -2/3*a**4 + 0 + 0*a + 6*a**2 + 1/60*a**5 + 5/2*a**3. Let t be n(15). Solve t = -5*k - 0 - 25, -4*k - 14 = -3*p for p.
-2
Suppose s + 16 = 22. Suppose 2*j + 3*j = -a + s, 0 = -3*j - 3. Solve q + 5*z = -21, -3*q - 4 = 3*z + a for q.
-1
Let t(f) = 2*f + 29. Let u be t(-12). Solve -2*l + 3*m = -2 + 1, 0 = -l - u*m - 19 for l.
-4
Let z = 2376
|
{
"pile_set_name": "DM Mathematics"
}
|
, i: 1}.
1/20
What is prob of sequence mh when two letters picked without replacement from hlaqm?
1/20
Calculate prob of sequence hf when two letters picked without replacement from rrrrfccqhrqqkffcrqq.
1/114
Four letters picked without replacement from {f: 3, u: 4, j: 4, q: 1, c: 1, l: 4}. Give prob of sequence ulqj.
2/1785
What is prob of sequence nnqc when four letters picked without replacement from {n: 2, g: 3, q: 1, m: 6, c: 3}?
1/5460
Three letters picked without replacement from {d: 2, r: 2, y: 1, a: 2, z: 4, b: 1}. Give prob of sequence azz.
1/55
Calculate prob of sequence be when two letters picked without replacement from {m: 1, b: 1, k: 1, j: 1, e: 1, i: 2}.
1/42
Three letters picked without replacement from {v: 3, d: 9, h: 2, l: 2, b: 1}. What is prob of sequence lhb?
1/1020
Calculate prob of sequence zrr when three letters picked without replacement from ttrnrtz.
1/105
Two letters picked without replacement from {u: 3, b: 8, g: 3, c: 2}. What is prob of sequence ug?
3/80
Three letters picked without replacement from qqeqqqerd. What is prob of sequence dqe?
5/252
What is prob of sequence ccct when four letters picked without replacement from ccttctcccc?
1/8
Calculate prob of sequence gyy when three letters picked without replacement from {y: 2, g: 9}.
1/55
Three letters picked without replacement from {o: 2, w: 4, e: 1, t: 1}. Give prob of sequence wwe.
1/28
Four letters picked without replacement from {r: 1, c: 1, n: 1, z: 2, v: 4}. What is prob of sequence nvcv?
1/252
What is prob of sequence klkg when four letters picked without replacement from {j: 5, l: 3, h: 4, g: 4, k: 3}?
1/1292
What is prob of sequence ojj when three letters picked without replacement from oooojooojoooo?
1/78
Four letters picked without replacement from ffrrcrrrerfraacerff. What is prob of sequence cfar?
5/2907
Four letters picked without replacement from {t: 3, n: 2, p: 1, f: 1, m: 3}. Give prob of sequence tftn.
1/420
Calculate prob of sequence so when two letters picked without replacement from ooossosooosoosoo.
11/48
Calculate prob of sequence xwx when three letters picked without replacement from wwiiiiwiwixxiwix.
1/112
Four letters picked without replacement from {t: 1, j: 6, v: 6, u: 2, n: 1, h: 2}. What is prob of sequence uvjv?
1/204
Two letters picked without replacement from asahxoaah. Give prob of sequence os.
1/72
What is prob of sequence hh when two letters picked without replacement from hhhhhjhhhjhhh?
55/78
Calculate prob of sequence ct when two letters picked without replacement from {c: 2, t: 7}.
7/36
Two letters picked without replacement from iiiiikiiiikiikiiiiik. Give prob of sequence ik.
16/95
What is prob of sequence pb when two letters picked without replacement from pkcgbvgv?
1/56
Three letters picked without replacement from aaaaxaaaaxax. Give prob of sequence xax.
9/220
What is prob of sequence kttt when four letters picked without replacement from ktkttkutkt?
1/21
Calculate prob of sequence yg when two letters picked without replacement from {d: 3, y: 1, g: 3}.
1/14
Three letters picked without replacement from vvvvxvmxhmdxvm. Give prob of sequence hxd.
1/728
Three letters picked without replacement from {w: 9, p: 7}. Give prob of sequence ppp.
1/16
Four letters picked without replacement from {s: 1, e: 1, v: 1, i: 1, x: 2, g: 1}. What is prob of sequence ggxs?
0
What is prob of sequence ql when two letters picked without replacement from lqngg?
1/20
What is prob of sequence vp when two letters picked without replacement from ppvvvppp?
15/56
Calculate prob of sequence mmzk when four letters picked without replacement from gklglmllggkllkmzk.
1/7140
Calculate prob of sequence sar when three letters picked without replacement from {a: 1, r: 3, s: 4}.
1/28
Two letters picked without replacement from agpooaaoaao. What is prob of sequence ag?
1/22
Two letters picked without replacement from hhhhhththhhnhh. Give prob of sequence nh.
11/182
What is prob of sequence il when two letters picked without replacement from {i: 17, l: 2}?
17/171
What is prob of sequence iji when three letters picked without replacement from {j: 3, q: 6, i: 6}?
3/91
Calculate prob of sequence osoo when four letters picked without replacement from {o: 3, s: 3}.
1/20
Four letters picked without replacement from wrgwgrwwgrr. What is prob of sequence rggg?
1/330
Three letters picked without replacement from {i: 10, p: 2, v: 3, u: 4}. What is prob of sequence uii?
20/323
Four letters picked without replacement from ffffffsfffsffffffffs. What is prob of sequence sssf?
1/1140
Two letters picked without replacement from kloqoolwqq. What is prob of sequence ko?
1/30
Calculate prob of sequence ssjj when four letters picked without replacement from sjjsjsjjjsssjsss.
9/130
What is prob of sequence xq when two letters picked without replacement from qqfffqfxgqf?
2/55
What is prob of sequence fh when two letters picked without replacement from bhfhs?
1/10
What is prob of sequence uuz when three letters picked without replacement from {x: 5, z: 1, u: 7, l: 5}?
7/816
Three letters picked without replacement from {g: 2, n: 10, z: 2}. Give prob of sequence nzg.
5/273
Three letters picked without replacement from {m: 5, v: 2, t: 1, r: 1, w: 3}. What is prob of sequence rmm?
1/66
What is prob of sequence zkl when three letters picked without replacement from {y: 3, d: 8, z: 4, l: 1, k: 1}?
1/1020
What is prob of sequence ej when two letters picked without replacement from {y: 2, n: 1, e: 2, c: 12, j: 2}?
2/171
Three letters picked without replacement from ygaaqwjaqawg. Give prob of sequence wwq.
1/330
Two letters picked without replacement from sxxysxxyyyyxsxy. Give prob of sequence xy.
6/35
Two letters picked without replacement from {g: 1, x: 1, a: 1}. What is prob of sequence ax?
1/6
Three letters picked without replacement from jqu. Give prob of sequence juq.
1/6
Calculate prob of sequence ga when two letters picked without replacement from oazagqa.
1/14
Calculate prob of sequence oauu when four letters picked without replacement from qqyuqoayyu.
1/2520
Calculate prob of sequence maa when three letters picked without replacement from {a: 2, m: 1}.
1/3
Calculate prob of sequence hhd when three letters picked without replacement from {h: 12, d: 7}.
154/969
Four letters picked without replacement from {s: 1, m: 1, p: 3, l: 2, x: 1, i: 3}. What is prob of sequence illx?
1/1320
Two letters picked without replacement from {q: 6, x: 4}. Give prob of sequence xx.
2/15
Two letters picked without replacement from {o: 6}. What is prob of sequence oo?
1
Three letters picked without replacement from {i: 5, z: 1, o: 1, f: 2, y: 1}. Give prob of sequence oyi.
1/144
Four letters picked without replacement from mmzlnzmnlmmmmnnlm. Give prob of sequence lmll.
1/1190
Calculate prob of sequence dddf when four letters picked without replacement from {f: 1, h: 4, d: 3}.
1/280
Two letters picked without replacement from {s: 3, z: 1, g: 1, t: 2}. Give prob of sequence gs.
1/14
What is prob of sequence kn when two letters picked without replacement from knnkqnn?
4/21
Three letters picked without replacement from ctocz. Give prob of sequence tto.
0
Three letters picked without replacement from opphunx. Give prob of sequence pox.
1/105
What is prob of sequence gx when two letters picked without replacement from {a: 3, n: 11, g: 3, x: 2}?
1/57
Three letters picked without replacement from xotohuz. What is prob of sequence uzx?
1/210
Two letters picked without replacement from {j: 1, e: 4, x: 3, c: 2}. Give prob of sequence xx.
1/15
Four letters picked without replacement from ttitttittitttttitti. Give prob of sequence ttti.
455/3876
What is prob of sequence uu when two letters picked without replacement from {y: 4, b: 4, u: 2}?
1/45
What is prob of sequence cs when two letters picked without replacement from {u: 2, v: 2, r: 1, s: 1, c: 1}?
1/42
Calculate prob of sequence fb when two letters picked without replacement from {b: 5, f: 2}.
5/21
What is prob of sequence poo when three letters picked without replacement from ooxoooxoopppppo?
4/39
Calculate prob of sequence sq when two letters picked without replacement from {q: 3, u: 3, a: 1, s: 3}.
1/10
Calculate prob of sequence hah when three letters pi
|
{
"pile_set_name": "DM Mathematics"
}
|
15 a factor of 3038938725?
True
Is 85489140 a multiple of 110?
True
Is 2132616 a multiple of 51?
True
Does 1198 divide 2000861264?
True
Is 7 a factor of 144018736?
False
Is 10 a factor of 504466970?
True
Is 14 a factor of 649083?
False
Does 29 divide 659155507?
False
Is 1550 a factor of 86105600?
True
Is 33 a factor of 21904138?
False
Is 240 a factor of 5383680?
True
Is 371 a factor of 710009082?
False
Is 260 a factor of 411750040?
True
Is 675 a factor of 1434324?
False
Does 1479 divide 84410967?
True
Is 21 a factor of 2388634017?
True
Does 41 divide 1806562?
False
Is 53 a factor of 207364772?
False
Is 19514171 a multiple of 13?
False
Does 41 divide 1369867?
False
Does 341 divide 1157025276?
True
Is 8 a factor of 60556224?
True
Is 9 a factor of 72646475?
False
Is 59642660 a multiple of 220?
True
Is 7591200 a multiple of 74?
False
Is 114 a factor of 6725544?
True
Is 4612 a factor of 725023194?
False
Does 14 divide 28653170?
True
Is 5276 a factor of 6026420970?
False
Does 2275 divide 19931681?
False
Is 103991180 a multiple of 2830?
True
Does 652 divide 451464016?
False
Does 2580 divide 179645613?
False
Does 23 divide 1262938832?
True
Does 384 divide 60842496?
True
Is 15914850 a multiple of 1376?
False
Does 17 divide 47616570?
False
Is 51259936 a multiple of 1508?
True
Does 2520 divide 572498640?
True
Does 24 divide 3433773168?
True
Is 880374495 a multiple of 7293?
True
Is 269 a factor of 105498480?
False
Is 31629046 a multiple of 42?
False
Is 14 a factor of 442821342?
False
Does 23 divide 3121194001?
True
Is 6456 a factor of 728649984?
True
Does 431 divide 71227491?
True
Does 264 divide 208494000?
True
Is 49 a factor of 126216283?
False
Is 1705 a factor of 283106233?
False
Is 111226137 a multiple of 253?
True
Is 18447203 a multiple of 143?
False
Is 755108878 a multiple of 3274?
False
Is 25232064 a multiple of 32?
True
Is 491 a factor of 22532481?
True
Is 31927356 a multiple of 44?
False
Is 8 a factor of 360844248?
True
Is 998400 a multiple of 150?
True
Is 156 a factor of 233218914?
False
Does 984 divide 3581760?
True
Does 48 divide 281934440?
False
Is 113601312 a multiple of 96?
True
Does 8 divide 87655787?
False
Does 270 divide 407025810?
True
Is 1036 a factor of 2629368?
True
Does 92 divide 8893675?
False
Is 30522135 a multiple of 198?
False
Does 1770 divide 63699511?
False
Does 58 divide 70306092?
True
Does 3006 divide 104227038?
True
Is 196 a factor of 32611837?
False
Is 186653280 a multiple of 530?
True
Is 287 a factor of 681270173?
False
Is 111964982 a multiple of 4?
False
Is 1197675 a multiple of 167?
False
Does 233 divide 3233293002?
True
Does 4 divide 2828945?
False
Does 9589 divide 1539283814?
True
Is 39 a factor of 18497824?
False
Is 6697980 a multiple of 4?
True
Is 1268 a factor of 29065515?
False
Is 169 a factor of 6527108?
False
Is 883690486 a multiple of 2841?
False
Is 7863264 a multiple of 32?
True
Is 568767910 a multiple of 360?
False
Is 107 a factor of 32397495?
False
Is 106 a factor of 1402450816?
False
Does 11 divide 310952334?
True
Is 317014888 a multiple of 46?
True
Is 134 a factor of 9231882?
False
Is 547 a factor of 18594718?
True
Is 67376210 a multiple of 39?
False
Is 4 a factor of 882909192?
True
Is 5 a factor of 104071288?
False
Is 2775 a factor of 47818800?
True
Is 15 a factor of 19969365?
True
Is 1038 a factor of 15942699?
False
Is 1246953904 a multiple of 112?
True
Is 1137 a factor of 71024979?
True
Does 4573 divide 3667184733?
True
Is 4 a factor of 3180086?
False
Does 4792 divide 107085641?
False
Is 727682708 a multiple of 33?
False
Does 12 divide 26691267?
False
Is 765 a factor of 328811549?
False
Is 172 a factor of 851757072?
True
Is 73025772 a multiple of 12?
True
Is 337 a factor of 2622887850?
True
Is 22328382 a multiple of 87?
False
Is 37 a factor of 185923779?
True
Is 292492670 a multiple of 288?
False
Does 154 divide 17460828?
True
Does 8 divide 11145776?
True
Is 9340668 even?
True
Is 4852018 a multiple of 80?
False
Is 686194641 a multiple of 3069?
True
Is 26 a factor of 4672103?
False
Is 14 a factor of 378777730?
False
Is 15162780 a multiple of 93?
False
Is 1745 a factor of 43536794?
False
Is 126 a factor of 27225954?
True
Is 1348913 a multiple of 4?
False
Is 1284 a factor of 26834280?
False
Does 4546 divide 495909502?
True
Does 4333 divide 4949473885?
False
Is 6391290 a multiple of 37?
False
Is 451803651 a multiple of 897?
True
Is 44772528 a multiple of 11?
False
Is 29 a factor of 28016726?
True
Does 45 divide 151884853?
False
Is 2017 a factor of 18784321?
True
Is 127992959 a multiple of 72?
False
Is 212 a factor of 182833501?
False
Does 6130 divide 629283048?
False
Is 357587496 a multiple of 196?
True
Is 32 a factor of 1520748759?
False
Is 6468051 a multiple of 133?
False
Is 559 a factor of 76335805?
False
Is 39727951 a multiple of 3?
False
Is 1085778555 a multiple of 43?
False
Does 379 divide 320591931?
True
Is 17885859 a multiple of 391?
False
Does 7 divide 26963157?
False
Is 12775547 a multiple of 431?
False
Is 196386416 a multiple of 2008?
True
Is 16 a factor of 29648304?
True
Does 19 divide 10131104?
True
Does 3920 divide 685700748?
False
Is 449773694 a multiple of 86?
False
Is 1239 a factor of 42809928?
True
Is 60357920 a multiple of 10?
True
Is 85822 a multiple of 94?
True
Is 42773767 a multiple of 23?
True
Is 261825591 a multiple of 10?
False
Does 14 divide 11900339?
False
Is 896 a factor of 156723585?
False
Is 3638263585 a multiple of 13541?
True
Is 4 a factor of 649721526?
False
Does 79 divide 55444459?
False
Is 3 a factor of 8366954?
False
Does 194 divide 32055877?
False
Is 19750950 a multiple of 90?
True
Is 95809667 a multiple of 2234?
False
Does 11 divide 21184386?
False
Is 1376 a factor of 20730816?
True
Is 151052005 a multiple of 119?
False
Is 461573834 a multiple of 4483?
False
Is 18 a factor of 34594351?
False
Is 6 a factor of 47772346?
False
Does 197 divide 2911067488?
False
Is 125435264 a multiple of 531?
False
Does 24 divide 891840456?
True
Is 3791 a factor of 1152926502?
True
Is 403073126 a multiple of 5915?
False
Is 24656464 a multiple of 28?
True
Does 722 divide 849742?
False
Does 717 divide 8520111?
True
Is 3242 a factor of 936412796?
True
Does 26 divide 232562356?
True
Is 19 a factor of 62998956?
False
Does 2062 divide 292888542?
True
Does 11 divide 18448375?
True
Is 279119531 a multiple of 1672?
False
Is 485 a factor of 116639573?
False
Does 14 divide 10797838?
False
Does 14 divide 112805151?
False
Is 17568330 a multiple of 1391?
True
Is 514 a factor of 309808360?
True
Does 67 divide 4265745779?
False
Is 13787056 a multiple of 5?
False
Is 34209529 a multiple of 153?
False
Does 104 divide 277052201?
False
Does 1218 divide 9397188?
False
Is 68 a factor of 680528088?
True
Is 92 a factor of 302556628?
True
Is 16 a factor of 13996404?
False
Is 21 a factor of 4916371656?
True
Is 501 a factor of 1407337966?
False
Is 943 a factor of 3434128611?
False
Is 5 a factor of 8591635?
True
Is 8037516 a multiple of 274?
True
Is 996 a factor of 5521824?
True
Is 1000 a factor of 194582000?
True
Is 39942180 a multiple of 12?
True
Is 1588253152 a multiple of 2661?
False
Does 52 divide 39039416?
True
Does 267 divide 7187982?
False
Is 11 a factor of 30595409?
False
Is 291 a factor of 494131342?
False
Is 11 a factor of 168662336?
False
Is 6516663 a multiple of 123?
True
Is 9720515 a multiple of 35?
True
Is 151368119 a multiple of 8?
False
Is 69025025 a multiple of 227?
True
Is 183 a factor of 1223642065?
False
Does 11 divide 9563757?
False
Is 243697814 a multiple of 35?
False
Is 668 a factor of 36491282?
False
Is 282 a factor of 9118110?
False
Does 39 divide 53198601?
False
Is 165 a factor of 5808512447?
False
Is 118 a factor of 53099646?
True
Is 52 a factor of 27344022?
False
Is 218808346 a multiple of 359?
True
Does 13 divide 121384831?
False
Is 683066305 a multiple of 23?
True
Does 1649 divide 17471862?
False
Is 5378 a factor of 755086252?
False
Is 249 a factor of 363262722?
False
Does 85 divide 2592350400?
True
Is 287992281 a multiple of 9?
False
Is 69270987 a multiple of 17?
False
Does 21 divide 38361204?
True
Is 51134143 a multiple of 1799?
False
Is 148 a factor of 247081360?
False
Does 3974 divide 261795198?
True
Is 39676023 a multiple of 3?
True
Is 145470566 a multiple of 107?
True
Is 86041
|
{
"pile_set_name": "DM Mathematics"
}
|
t s(j) = 4*j + 5. Determine -10*b(n) - 4*s(n).
4*n + 10
Let i(q) = -2*q - 6. Let o(z) = -z - 1. Let u(v) = -v - 6. Let c be u(-5). Let p be ((-8)/3 + 0)*(-96)/64. Determine c*i(n) + p*o(n).
-2*n + 2
Let p(h) be the first derivative of 0*h + 6 - 11/3*h**3 - 11/2*h**2. Let w(v) = 5*v**2 + 5*v. Let c(k) = -k - 3. Let a be c(-6). Determine a*p(s) + 7*w(s).
2*s**2 + 2*s
Let b(i) = -i + 6. Let l(h) = -2*h + 11. What is -11*b(p) + 6*l(p)?
-p
Let f(w) = 5*w + 4. Let b(g) = g**3 - 2*g. Let y be b(2). Suppose -t - y = -3*t. Let d = t + 1. Let x(a) = -9*a - 7. Give d*x(h) + 5*f(h).
-2*h - 1
Let p(k) = 2*k**3 - 27*k**2 + 3*k - 5. Let u(o) = 6*o**3 - 80*o**2 + 8*o - 14. What is 8*p(v) - 3*u(v)?
-2*v**3 + 24*v**2 + 2
Let u(s) = 13*s**2 - 9. Let k(f) = -3*f**2 + 2. Let y = -25 + 44. Let n = -37 + y. What is n*k(h) - 4*u(h)?
2*h**2
Let d(o) be the second derivative of o**3/3 + o**2 + 8*o. Let j(x) be the third derivative of -x**2 + 0*x + 1/3*x**3 + 0 + 1/8*x**4. Give -4*d(z) + 3*j(z).
z - 2
Suppose 0 = 4*o - 1 - 3. Let x(n) = 3*n - 1. Let f(v) be the third derivative of 1/24*v**4 + 0*v**3 + 0*v + 0 - v**2. Calculate o*x(s) - 2*f(s).
s - 1
Let g(o) = o**3 - o**2 + o + 1. Let b(j) = -20*j**3 + 6*j**2 - 6*j - 6. Calculate -b(i) - 6*g(i).
14*i**3
Let g(v) = -11. Let a = -14 - -10. Let d = 11 + -2. Let n(h) = -5. Let l(m) = a*g(m) + d*n(m). Let s(c) = 2*c**2 + 4. What is 5*l(u) + s(u)?
2*u**2 - 1
Let k(m) = 2*m + 33*m**2 + 2*m**3 + 27*m**2 - 58*m**2 + 2. Let i(a) = -4*a**3 - 5*a**2 - 5*a - 5. Calculate 2*i(h) + 5*k(h).
2*h**3
Let j(u) = -6*u**3 - u**2 + 3*u - 4. Let o(z) = 12*z**3 + 3*z**2 - 7*z + 9. What is -7*j(h) - 3*o(h)?
6*h**3 - 2*h**2 + 1
Let q(g) = -2*g**3 + 5*g**2 - 7. Let z be -6*(1 - 1 - -1). Suppose 0*r = -4*r + m + 55, r = -2*m + 16. Let x(u) = -u**3 + 2*u**2 - 3. Give r*x(b) + z*q(b).
-2*b**3 - 2*b**2
Let w(q) = -8*q - 8. Suppose 4*g - s + 6*s + 18 = 0, -3*g + 3*s = 0. Let a(c) = c + 1. What is g*w(u) - 14*a(u)?
2*u + 2
Let m(q) = -q**2 - 6*q - 2. Let g be (4/3)/(3/(-9)). Let u(h) = 6*h. Let b(o) = 7*o. Suppose 3*w - 5 = 2*w. Let k(f) = w*b(f) - 6*u(f). What is g*k(y) + m(y)?
-y**2 - 2*y - 2
Let l(o) = -2*o + 3. Let r = 109 + -78. Suppose w = 5*g - r, -25 = -5*g + 3*w + 8. Let v(p) = 7*p - 11. What is g*v(i) + 22*l(i)?
-2*i
Let d(i) = i - 1. Let g(a) = -3*a + 3. Calculate -9*d(t) - 4*g(t).
3*t - 3
Let m(p) = p. Let l be m(-3). Let f(t) = -4*t**2 + 3*t + 2. Let n(a) = -7*a**2 + 5*a + 4. Let y(s) = -s. Let v be y(-5). Give l*n(c) + v*f(c).
c**2 - 2
Let l(j) = 4*j**2 - 2*j + 2. Suppose -2*c + 4*c + 2 = -4*h, 0 = -3*h - 3*c. Let f(u) = u**2 + 1. Calculate h*l(z) + 2*f(z).
-2*z**2 + 2*z
Suppose 25 = -5*j - 0. Let h(i) = 2*i**2 - 5*i. Let r(q) = -q**2 + 2*q. Let t(m) = -3*m**2 + 2*m - 1. Let f be t(1). Calculate f*h(z) + j*r(z).
z**2
Let n(a) = 2*a**2 + 7*a + 6. Let i(h) be the first derivative of -7*h + 5 - 4*h**2 - 2/3*h**3. Calculate 5*i(u) + 6*n(u).
2*u**2 + 2*u + 1
Let i(j) = 264*j**2 + 77. Let o(r) = -17*r**2 - 5. Calculate 5*i(n) + 77*o(n).
11*n**2
Let r(w) = 7*w + 1. Let s(o) = 3*o. Calculate -4*r(a) + 10*s(a).
2*a - 4
Let f(t) = -t - 1. Let k(y) = 6*y + 4. Suppose 6 = -2*x - 2. Let n(b) = -b**2 + 9*b - 9. Let z be n(8). Give x*f(j) + z*k(j).
-2*j
Let y(q) = -4*q + 2. Let c(m) = 2*m - 1. What is 5*c(f) + 2*y(f)?
2*f - 1
Suppose -5*y = -18 - 7. Suppose 5*c = 2*c - 2*t + 12, y*t = 0. Let p(d) = -2*d**2 + 2*d - 1. Let r(s) = -2*s**2 + 2*s - 1. Calculate c*p(h) - 5*r(h).
2*h**2 - 2*h + 1
Let d(o) = -o - 2. Let f = -3 + 3. Let v(u) = -4*u**2 + 1 + f*u + 2*u**3 - 3*u**3 + u. Let a be v(-4). Let n(z) = z + 3. Determine a*n(x) - 4*d(x).
x - 1
Let v(r) = 10*r. Let z(u) be the first derivative of -u**2/2 + 14. Determine v(b) + 5*z(b).
5*b
Let t(o) = 0*o - 7*o + 3*o + 2*o**2 + 2. Let j = -2 + 5. Let g(i) = 2*i - i + 0 - j*i**2 + 2*i**2 - 1. What is -6*g(d) - 2*t(d)?
2*d**2 + 2*d + 2
Let f(l) be the second derivative of l**5/4 + 3*l**3/2 - 8*l. Let i be (-3)/(-6)*-2*-2. Let d(z) = -z**3 - 2*z. Give i*f(r) + 9*d(r).
r**3
Let j(a) = 0 + a + 3 + 0*a - 6*a + a**2. Let t be -6 + 3 - (1 + -1). Let k(n) = -4*n**2 + 24*n - 14. Calculate t*k(i) - 14*j(i).
-2*i**2 - 2*i
Let q(l) = -9*l**2 + l + 10. Let f(n) = 8*n**2 - n - 9. Calculate -7*f(g) - 6*q(g).
-2*g**2 + g + 3
Let s(f) be the third derivative of -f**6/60 - f**5/60 - 4*f**2. Let k(z) = -z**3 - z**2. Suppose 15*l - 3 = 18*l. Determine l*s(x) + k(x).
x**3
Let o(b) = 19*b**2 + 21. Let i(k) = 4*k**2 + 4. Calculate -11*i(f) + 2*o(f).
-6*f**2 - 2
Let l(c) = 2*c**3 - 5*c**2 + 7*c. Let y(d) = -5*d - 5. Let o be y(-2). Suppose 0 = 4*w - a - 2, 4*a = 2*w + 3*a. Let b(h) = h**2 - h. What is o*b(q) + w*l(q)?
2*q**3 + 2*q
Let l(i) = i. Let q(f) = 8*f - 1. Let w = 1 + -10. Let u be 124/w - 10/45. Suppose -4*p = -x + 22, 2*p - 23 = -4*x + 5*p. Give u*l(n) + x*q(n).
2*n - 2
Let m(w) = 2*w. Suppose 7 + 18 = -5*u. Let l(k) = 4*k + 1. Suppose -14 = -4*q - 2*g - 0*g, -q - g = -5. Determine q*l(z) + u*m(z).
-2*z + 2
Suppose n = -4*q - 12, 16 = 3*n + 2*n + q. Let y(k) = -3*k. Let m(c) = -3*c. Determine n*m(j) - 5*y(j).
3*j
Let r(q) be the first derivative of -q**3/3 + q**2/2 - q - 22. Let f(x) = -5*x**2 + 2*x - 6. Determine -f(b) + 6*r(b).
-b**2 + 4*b
Let r(j) = -3*j**2 - 3*j + 22. Let m(n) = 5*n**2 + 5*n - 33. Determine -5*m(o) - 8*r(o).
-o**2 - o - 11
Let q(d) = d**2 - 2*d + 3. Let x = 14 - 13. Let s(f) = -3*f**2 + 3*f + 1. Let j(c) = c**2 - c. Let a(l) = -4*j(l) - s(l). Give x*q(o) + 2*a(o).
-o**2 + 1
Suppose -2*s + 3*s = -3*o + 11, 4*o = 5*s + 40. Let m(r) = -r. Let d(a) = -5*a. Let l = -5 + 3. Let j be l + 3 + 0/1. Give j*d(p) + s*m(p).
-p
Suppose -s = -2*s - q - 6, -2*s = -2*q + 4. Let u(p) = -4 + 6*p**2 + p - p**2 + 0*p. Let w(z) = -6*z**2 - z + 5. Give s*w(y) - 5*u(y).
-y**2 - y
Let o(g) = -g. Let h(u) = -12*u. Calculate -h(q) + o(q).
11*q
Let s(k) = -k**2 + k - 1. Let b(o) = -o**2 - 5*o + 2. Let w be b(-6). Let v(n) = -4*n**2 + 2*n - 1. Determine w*s(y) + 2*v(y).
-4*y**2 + 2
Let v(q) = -q + 3. Let b(x) = 1 - 3 - 1 + 4. Let n(g) = -g**3 - 7*g**2 - 8*g - 6. Let d be n(-6). Suppose -4*h - d = 6. Give h*b(k) + v(k).
-k
Let o(i) = 2*i**2 + i + 8. Let d(z) = -4*z**2 - 2*z - 15. What is -6*d(a) - 11*o(a)?
2*a**2 + a + 2
Let a(p) = -22*p**3 - 12*p**2 - 10*p. Suppose 6*f - f - 60 = 0. Let m(y) = -9*y**3 - 5*y**2 - 4*y. Determine f*m(n) - 5*a(n).
2*n**3 + 2*n
Let r(w) be the second derivative of w**3/3 - 2*w**2 + 5*w. Let x be (-4 - -7)*(-1 - -2). Suppose -4*j = -1 - 3. Let b(h) = -h + 1. Calculate j*r(n) + x*b(n).
-n - 1
Suppose -4*t - 116 + 32 = -4*l, -t = 3. Let s(u) = 13*u**2 - 9*u - 4. Let k be (4/3)/((-3)/9). Let j(g) = 3*g**2 - 2*g - 1. What is k*s(c) + l*j(c)?
2*c**2 - 2
Let u(l) = l - 4. Suppose 0 = -j - 4*j + 75. Let s(h) be the third derivative of h**4/8 - 5*h**3/2 + 121*h**2. Calculate j*u(k) - 4*s(k).
3*k
Let h(p) be the second derivative of p**3/3 + p**2 + 5*p. Let n(s) = -1. Calculate -h(x) - 2*n(x).
-2*x
Let x(t) = -1. Let b(l) = -4*l - 10. Let z(i) = -5*i - 11. Suppose 2*u + 10*j = 5*j - 15, u - 3*j = 20. Let g(m) = u*z(m) - 6*b(m). Calculate 2*g(f) + 11*x(f).
-2*f - 1
Let j(o) = o**2 + 4*o + 4. Let w be 0/1 + 0 + 1. Let v(s) = -142*s - 1 + 281*s - 140*s. Give w*j(c) + 4*v(c).
c**2
Let v(x) = 2*x**2 + 11*x + 3. Let a(s) = -16*s**2 - 24*s - 10. Let c(d) = 3*d**2 + 5*d + 2. Let w(p) = 2*a(p) + 11*c(p). What is -5*v(j) + 8*w(j)?
-2*j**2 + j + 1
Suppose 3*g = -g - 4. Let h(l) = -15*l**2 + 6*l**2 + 7*l**2 + l. Let t(v) = v. Give g*h(a) + t(a).
2*a**2
Let s(z) = -5*z**2 - 8*z - 14. Let y(n) = -2*n**2 + 3*n + 1. Let b(m) = 5*m**2 - 6*m - 1. Let v(f) = 4*b(f) + 9*y(f). Give 4*s(i) + 11*v(i).
2*i**2 + i - 1
Let n = -85 - -83. Let m(i) = 6*i**3 + 2*i - 2. Let y(f) = 12*f**3 + 5*f - 5. Calculate n*y(j) + 5*m(j).
6*j**3
Let o = 28 - 36. Let r(g) = 14*g**2 - 8*g + 1. Let j(d) = 5*d**2 - 3*d. Calculate o*j(l) + 3*r(l).
2*l**2 + 3
Let a(p) = -9*p**3 + 13*p + 7. Let x(w) = -5*w**3 + 6*w + 4. Give -4*a(m) + 7*x(m).
m**3 - 10*m
Let h(z) = 10*z**2 + z - 2. Let d(x) = x**2 - x + 1. Determine d(t) + h(t).
11*t**2 - 1
Let c(p) = 7*p**2 - 2*p. Let i be 32*4/(-68) + 10/(-85). Let q(t) = t**2 - t. Calculate i*q(s) + c(s).
5*s**2
Let x(a) = -4*a**2 + 8*a + 7. Let b(g) = 9*g**2 - 17*g - 15. What is 6*b(n) + 13*x(n)?
2*n**2 + 2*n + 1
Let s(t
|
{
"pile_set_name": "DM Mathematics"
}
|
2*k + k = -3*z + 21. Suppose 0 = 5*s + 2*i - 81, i - 75 = -4*s - 4*i. What is the remainder when s is divided by z?
7
Let a be (2/(-7))/(1/(-14)). Suppose -4*s + 341 = 5*i, 0 = -a*s - s + 2*i + 418. Calculate the remainder when s is divided by 22.
18
Let i = -42 + 65. Let s(l) = l**3 - 10*l**2 - 9*l - 16. Let r be 12/(-9) + 1/(-6)*-74. What is the remainder when i is divided by s(r)?
5
Let b = 6 - 28. Let d = -19 - b. What is the remainder when 11 is divided by d?
2
Let x = 1288 + -1163. Calculate the remainder when 621 is divided by x.
121
Let c = 73 + -33. Calculate the remainder when 235 is divided by c.
35
Let u(m) be the third derivative of -m**6/120 - m**5/60 - m**4/12 - m**3/6 - m**2. Let n = 304 + -306. Calculate the remainder when 19 is divided by u(n).
5
Let r(c) = -c**3 + 3*c + 0*c**3 - 3*c**2 - 1 + 9*c**3 + 2*c**3. What is the remainder when r(2) is divided by 19?
16
Suppose 433*h - 184 = 429*h. What is the remainder when 55 is divided by h?
9
Suppose -24 = -5*w + 1. Suppose -w = z - 22. Calculate the remainder when 49 is divided by z.
15
Suppose 188 + 42 = 5*s. Calculate the remainder when 85 is divided by s.
39
Let m(f) = 386*f - 68. Calculate the remainder when m(3) is divided by 78.
76
Let z be 4/6 + 28/3. Suppose 0 = z*f - 6*f - 16. What is the remainder when 28 is divided by (-15)/(-3)*12/f?
13
Let k be 9/(-2)*-1*10. Suppose q - 19 - k = 0. Suppose i = 2*x + 19, 3*i - i - 37 = 3*x. Calculate the remainder when q is divided by i.
13
Let t(k) = 3*k**3 - 6*k**2 + 3. Let x be t(5). What is the remainder when x/4 - (-5 - 3/(-1)) is divided by 10?
9
Let s = -6 - -13. Suppose s*p - 5*p = -56. Let o = -14 - p. Calculate the remainder when 40 is divided by o.
12
Let s(w) = 15*w - 18. Let u = 8 - 3. What is the remainder when s(2) is divided by u?
2
Let g(j) = 3*j**2 + 8*j + 8. Let l be g(-5). Let v = l - 30. Calculate the remainder when 51 is divided by v.
12
Let p = 303 - 293. Calculate the remainder when 67 is divided by p.
7
Let n(j) be the second derivative of j**3/2 + 7*j**2/2 - j. Suppose 3*l - 5*a - 14 - 9 = 0, 2*l + 5*a - 7 = 0. What is the remainder when n(l) is divided by 14?
11
Let w(o) = 6*o**2 + o + 5. Let p be w(-4). Let a = p + 27. Suppose 106 + a = 5*h. What is the remainder when h is divided by 16?
14
Let m(b) = -2*b**3 + 35*b**2 + 19*b + 31. What is the remainder when 1369 is divided by m(18)?
46
Let x = 7 - 2. Suppose -9 = w + 2*w, 0 = -2*s + x*w + 25. Suppose -20 = -s*m + 2*b, -m + 4*b + 11 + 11 = 0. What is the remainder when m is divided by 1?
0
Let g = -250 - -304. Calculate the remainder when 265 is divided by g.
49
Suppose -4*h = -5*d + 1093, -12 = 7*h - 11*h. What is the remainder when d is divided by 16?
13
Suppose -62 = -5*n - 22. Suppose m - 38 = -n. What is the remainder when 88 is divided by m?
28
Let v(u) = 2*u**3 - 4*u**2 + 3*u - 3. Suppose -5*p = -5*l - 5, 0*l + 7 = 2*l + p. What is the remainder when 7 is divided by v(l)?
1
Suppose 4*q = 4, 2*h - 2*q - 54 = 58. What is the remainder when h is divided by (-16)/6*27/(-6)?
9
Suppose -5*z = -33*y + 38*y - 970, 0 = -5*y - z + 938. Suppose 53 = 3*v + 2. Calculate the remainder when y is divided by v.
16
Let s = -137 - -215. What is the remainder when s is divided by 20?
18
Calculate the remainder when 423 is divided by 6 - ((-36)/(-6) - 85).
83
Suppose -5*v = -3*y + 2*y + 6, -4*v = 3*y + 1. Suppose y = 6*z - 17. Calculate the remainder when z is divided by 3.
0
Let r(b) = -b + 10. Let k be r(4). Suppose -4*z - k = -2. What is the remainder when 5 + 12 - (z + 1) is divided by 9?
8
Suppose -259*g = -243*g - 704. Calculate the remainder when 140 is divided by g.
8
Suppose -6*r = -r - 10. Let u be (-850)/(-60) + r/(-12). Suppose -45 = -u*h + 11*h. Calculate the remainder when h is divided by 4.
3
Suppose -7*l + 19 = -9. Calculate the remainder when 118 is divided by l/(-10) - (-1830)/75.
22
Let k(p) = 6 - 7*p + 6 + 3*p - 5. Let f be k(-12). Suppose 11*w = 6*w + f. Calculate the remainder when 42 is divided by w.
9
Let c(x) = 8*x**2 - 15*x - 96. Calculate the remainder when c(-5) is divided by 37.
31
Let f(a) = -138*a - 197. What is the remainder when 232 is divided by f(-2)?
74
Let b(h) = 2*h - 6 - 4*h + 44 + 3*h. What is the remainder when b(7) is divided by 24?
21
Let a(v) = -v**2 + 10*v - 2. Let r be a(10). What is the remainder when 13/(2 + r + 1) is divided by 4?
1
Let z = 413 + -404. What is the remainder when 78 is divided by z?
6
Let d(x) = x**3 - 2*x**2 - 14*x + 14. Calculate the remainder when 225 is divided by d(5).
16
Suppose -2*s + 1654 + 980 = 0. What is the remainder when s is divided by 44?
41
Let s = 62 - 64. What is the remainder when 3 - (0 - -2)*s/4 is divided by 2?
0
Suppose 4 = 2*n - h, 2*h - 3*h - 4 = 0. Let s = 12 - n. What is the remainder when 23 is divided by s?
11
Suppose -10 - 64 = -2*q. Let z = -26 + q. Let n(w) = 9*w**3 - 2*w**2 - 2*w + 3. Calculate the remainder when n(2) is divided by z.
8
Let a(r) = 2*r + 13. Suppose 0 = -4*u + i + 13, u - 3*i - 1 = -6. Calculate the remainder when a(u) is divided by 12.
9
Suppose 0 + 3 = -3*s. Let i be 2 + s - (-5 + 4). Suppose -12 = 5*f + 8, i*f = 2*m - 34. What is the remainder when 50 is divided by m?
11
Let o = 191 + -6. Let q = o - 116. Calculate the remainder when q is divided by 18.
15
Let k be 1/2*((-66)/(-1))/3. Suppose -k*c + 184 = -14. Suppose 3*o + 2*o - 50 = 0. What is the remainder when c is divided by o?
8
Suppose 11*u = 80*u - 4002. What is the remainder when 1505 is divided by u?
55
Suppose -3*o - 251 = -4*o. Calculate the remainder when o is divided by 11.
9
Suppose 3*y = 9*y - 498. Suppose -2*g + y = -3*a, 0*g = g + a - 34. What is the remainder when 110 is divided by g?
36
Let j(b) = b**2 + 32*b + 101. Calculate the remainder when j(-29) is divided by 10.
4
Suppose -255 - 122 = -2*i - 5*w, 0 = 3*i - w - 540. Calculate the remainder when i is divided by 62.
57
Let d be (-2 + 12)*(4 - 3). Suppose -154 = -d*g - 14. What is the remainder when 83 is divided by g?
13
Suppose 2*w + 105 = 447. Suppose 3*n - w = 9. Suppose -3*b + n = 2*i + i, i + 5*b = 40. Calculate the remainder when 43 is divided by i.
13
Let a be 8/4 - (-4)/2. Let b = 1 - a. Let j = 1 - b. What is the remainder when 5 is divided by j?
1
Let j = 30 - 31. What is the remainder when 39 + j*(-2 + -1) is divided by 9?
6
Suppose -2*s + 3*d + 27 = -4*s, 6 = s - 5*d. What is the remainder when 27 is divided by (-86)/(-6) + 3/s?
13
Calculate the remainder when ((-3)/(-4)*22)/(14/3360*40) is divided by (-1)/(-2) - (-210)/4.
46
What is the remainder when 238 is divided by 0 + 5 - 35/10*-2?
10
Let q(o) = o**3 - 3*o**2 + 2*o + 7. Let y be ((-2)/6)/(13/(-234)). Let l be q(y). Suppose -2*i - 53 + l = 0. Calculate the remainder when i is divided by 13.
11
Let t = -823 - -1036. Calculate the remainder when t is divided by 16.
5
Suppose 892 = 2*i + 4*x, 3*i + 2*x - 1754 = -i. Let o = 168 - 17. Suppose 0 = -5*c + i - o. What is the remainder when c is divided by 30?
27
Let j = 0 + 5. Suppose 3*z + 30 = 5*z. Suppose -2*w + 39 = m - 6*w, 0 = -3*w - z. What is the remainder when m is divided by j?
4
Let r(l) = -l**3 - 4*l**2 - 3*l + 6. Let y(h) = 2*h**3 + 9*h**2 + 5*h - 11. Let k(o) = 7*r(o) + 4*y(o). What is the remainder when k(-4) is divided by 17?
15
Let y = -143 + 293. Let w = y - 125. What is the remainder when w is divided by 1/((-2)/(-24)) - -1?
12
Let p = 8 - 6. Calculate the remainder when (2/10 + (-14)/(-30))*15 is divided by p.
0
Suppose 52 = -2*o + 4*o. Suppose 2*z - 3*z = -o. Let p = -279 - -286. Calculate the remainder when z is divided by p.
5
Let f = 28 - 18. Let b = -5 + f. Let z = 11 - b. Calculate the remainder when 17 is divided by z.
5
Let o = 2200 + -2192. Calculate the remainder when 35 is divided by o.
3
Suppose 8 = 4*g - 20. Let c be (-3)/(-6)*4*-1. Let u(j) = -13*j + 1. What is the remainder when u(c) is divided by g?
6
Suppose -10 = m - 75. Let d = -3 - -6. Suppose -d*k + 68 = k. What is the remainder when m is divided by k?
14
Let t(h) = 62*h + 6. Let y = -72 - -75. Calculate the remainder when t(y) is divided by 49.
45
Suppose 0 = -3*x + 12, -4*v + 3304 = -2*x + 3*x. What is the remainder when v is divided by 9?
6
Suppose 2 = j - 17. Suppose -6 = 4*f - 6. Calculate the remainder when (-3 + f)*(-140)
|
{
"pile_set_name": "DM Mathematics"
}
|
.
8, 0, -1, -2, -5, -6, -502
Put -1, -40, 1, 2, -8965 in descending order.
2, 1, -1, -40, -8965
Sort -5771, -2/5, -1/4, -187.
-5771, -187, -2/5, -1/4
Sort 1, -24163, 3, 12.
-24163, 1, 3, 12
Put -2, -1, -70008891 in descending order.
-1, -2, -70008891
Put -62/9, -82744, -2/7, -1, -3 in descending order.
-2/7, -1, -3, -62/9, -82744
Sort 1, -4, 5, -31, 2, 13, 403 in decreasing order.
403, 13, 5, 2, 1, -4, -31
Sort -3, 5, 9, -310, -5, -28, 8 in descending order.
9, 8, 5, -3, -5, -28, -310
Sort -1/9, 5, -52595541.
-52595541, -1/9, 5
Sort -7876, -5, -343.
-7876, -343, -5
Sort 0.12, 110919, 3/7, 4, 3/2 in increasing order.
0.12, 3/7, 3/2, 4, 110919
Sort 3, 0, -2, -94014, -4, -38.
-94014, -38, -4, -2, 0, 3
Put 16, 2, 7982130 in decreasing order.
7982130, 16, 2
Sort -19, -4, -2, 1, 3, 301 in descending order.
301, 3, 1, -2, -4, -19
Sort 47, -0.06, -376, -0.1, 1 in descending order.
47, 1, -0.06, -0.1, -376
Sort 7, -14, 14, -324, 5 in decreasing order.
14, 7, 5, -14, -324
Sort 5278947, -4/5, 1/33.
-4/5, 1/33, 5278947
Put 823, 1, -3999 in descending order.
823, 1, -3999
Sort 5870, -3, 145 in descending order.
5870, 145, -3
Put 4, 10925, 2, -2, -12, -1 in decreasing order.
10925, 4, 2, -1, -2, -12
Put -105, -3307, 5, -3 in ascending order.
-3307, -105, -3, 5
Put 6/11, -2818, 350 in descending order.
350, 6/11, -2818
Sort 5, -10, -640, 73.
-640, -10, 5, 73
Put 1247, 161, -4, 0.5 in descending order.
1247, 161, 0.5, -4
Put 3, -1274448, 5 in increasing order.
-1274448, 3, 5
Put -2, -1992, -3, 33, 3, -6 in decreasing order.
33, 3, -2, -3, -6, -1992
Put -3, 13, -47.1, 0.31 in decreasing order.
13, 0.31, -3, -47.1
Sort 521, -1414, 3, -11.
-1414, -11, 3, 521
Put 1, 6, -83, 5, 0, 9, -18 in decreasing order.
9, 6, 5, 1, 0, -18, -83
Sort 0.137, -3, -2/39, 7 in descending order.
7, 0.137, -2/39, -3
Put 5, 1/3, -1/3, -5135/42, 22 in decreasing order.
22, 5, 1/3, -1/3, -5135/42
Put 4/5, 4.05, 1.2, -24 in increasing order.
-24, 4/5, 1.2, 4.05
Put -5, 157, 61, -152 in descending order.
157, 61, -5, -152
Put 2, 955, 7, -2, 440, 5, 4 in descending order.
955, 440, 7, 5, 4, 2, -2
Sort -223068, 1, -5, -4, 0.
-223068, -5, -4, 0, 1
Sort 24, 361/29710, -2/5 in decreasing order.
24, 361/29710, -2/5
Sort 5, -2, 0, -4124, 0.022 in descending order.
5, 0.022, 0, -2, -4124
Sort -9, 9, 2, 1284.561.
-9, 2, 9, 1284.561
Sort -31, -2/9, 2, -36/137, -6 in decreasing order.
2, -2/9, -36/137, -6, -31
Sort -208, -6.1, -76 in decreasing order.
-6.1, -76, -208
Sort 2, 12694, -14, 8 in descending order.
12694, 8, 2, -14
Sort 10, -794, -2, 285, -1, -4.
-794, -4, -2, -1, 10, 285
Put 6, 22, -3, -172, 4 in ascending order.
-172, -3, 4, 6, 22
Sort 2, -3, 5, -295, 316.
-295, -3, 2, 5, 316
Put 1, -2/1211, 2/3, -44/9, 0.1 in descending order.
1, 2/3, 0.1, -2/1211, -44/9
Sort -53/110, -14/9, 1, -3.
-3, -14/9, -53/110, 1
Sort -3, 0, -1/8, -1.1, 172, 0.5 in decreasing order.
172, 0.5, 0, -1/8, -1.1, -3
Put -1, -9, 842, 554 in decreasing order.
842, 554, -1, -9
Sort -5, -4, 2, 5, 0, -716, 131 in decreasing order.
131, 5, 2, 0, -4, -5, -716
Sort -2, -33, 4, -494, -1 in decreasing order.
4, -1, -2, -33, -494
Sort -1/2, 0.4, 1/13, 1, 634 in decreasing order.
634, 1, 0.4, 1/13, -1/2
Sort -401, 0, 28, -37 in descending order.
28, 0, -37, -401
Sort -1, 356, 18, 3, 1, -7, -2 in decreasing order.
356, 18, 3, 1, -1, -2, -7
Sort -3, -5, 918, 506, 2, -2, -1 in increasing order.
-5, -3, -2, -1, 2, 506, 918
Put -3, 4, -55680, 2/5 in decreasing order.
4, 2/5, -3, -55680
Put 11262, 0.2, -1/5, -4, 42 in decreasing order.
11262, 42, 0.2, -1/5, -4
Sort 1, -2, -9941, -7865 in decreasing order.
1, -2, -7865, -9941
Sort -2, -4, -64, -1, -7575 in descending order.
-1, -2, -4, -64, -7575
Sort 4, -1, -5, 6111, -128, -2 in ascending order.
-128, -5, -2, -1, 4, 6111
Sort -4, 13, 10, -4970, 4, -5 in decreasing order.
13, 10, 4, -4, -5, -4970
Sort 9, 5, 155694, -0.4.
-0.4, 5, 9, 155694
Sort -2927, -1962, 5 in ascending order.
-2927, -1962, 5
Put 3, 2, 149, -5, 13372 in descending order.
13372, 149, 3, 2, -5
Sort -41, -25, 0.4, -1, 143, -4/7 in decreasing order.
143, 0.4, -4/7, -1, -25, -41
Sort -275058, 3, -4.
-275058, -4, 3
Sort 4, 0, 5, 2, 9997, 16 in ascending order.
0, 2, 4, 5, 16, 9997
Sort 5, 2, 0, 0.1, 7, 56800, -1/28 in ascending order.
-1/28, 0, 0.1, 2, 5, 7, 56800
Sort -4/31, -737, 4, -3 in increasing order.
-737, -3, -4/31, 4
Sort 1, -527, -1810.
-1810, -527, 1
Sort -1, 11, -573, 4, 185 in ascending order.
-573, -1, 4, 11, 185
Sort 119, 34, -3, 3, 84, 33 in increasing order.
-3, 3, 33, 34, 84, 119
Sort -4, 2, -2, 0, 4, 1, -246 in decreasing order.
4, 2, 1, 0, -2, -4, -246
Put -1, -0.1, 15772/9, 0.6, -3 in ascending order.
-3, -1, -0.1, 0.6, 15772/9
Sort 2/19, 0, 13, 167, -2, 3, -0.2 in increasing order.
-2, -0.2, 0, 2/19, 3, 13, 167
Sort 2/7, -2.578, 0.244, 4 in decreasing order.
4, 2/7, 0.244, -2.578
Put 29623/119, -0.5, 5, 0 in ascending order.
-0.5, 0, 5, 29623/119
Put 35/3, -0.1, -8, -3, 5, -18/5 in descending order.
35/3, 5, -0.1, -3, -18/5, -8
Sort 0, -1, 84, 316 in decreasing order.
316, 84, 0, -1
Sort 11588/113, -0.04, 4.
-0.04, 4, 11588/113
Sort 1/3, 15.13, 4/227.
4/227, 1/3, 15.13
Sort -1, 3, 0.2, -0.02, -3, 282, 87.
-3, -1, -0.02, 0.2, 3, 87, 282
Sort -3, -4, 1478452 in increasing order.
-4, -3, 1478452
Put -0.2, -5, -386, -5/3 in ascending order.
-386, -5, -5/3, -0.2
Put -99, 0, -8, -17424, 5 in ascending order.
-17424, -99, -8, 0, 5
Sort 90.611, 0.3, 142 in decreasing order.
142, 90.611, 0.3
Sort 2, 0.45, -1, 0.1, 359, 18 in decreasing order.
359, 18, 2, 0.45, 0.1, -1
Put -1065414, -44, 5 in ascending order.
-1065414, -44, 5
Sort -3825, 447, 0, 4, 5 in decreasing order.
447, 5, 4, 0, -3825
Put 3, 0.3, 268, -5, 1016, -4/9 in ascending order.
-5, -4/9, 0.3, 3, 268, 1016
Sort 9, -1, -4, 5, 6, 4, 17 in increasing order.
-4, -1, 4, 5, 6, 9, 17
Put -2, 2, 344646, 5, 1 in decreasing order.
344646, 5, 2, 1, -2
Sort -17095, 4, -1447 in descending order.
4, -1447, -17095
Sort -23, -0.012933, 0.71, -0.3 in descending order.
0.71, -0.012933, -0.3, -23
Put -100, 5, 12/367, 1/11, 1/6 in ascending order.
-100, 12/367, 1/11, 1/6, 5
Sort 1057, 7, 1, -2411.
-2411, 1, 7, 1057
Sort 0, -4, -365, 120, 2, -3, 1.
-365, -4, -3, 0, 1, 2, 120
Sort -22, 574, -4310 in ascending order.
-4310, -22, 574
Sort 1.1, 155927, 0.3, -4, -5 in descending order.
155927, 1.1, 0.3, -4, -5
Sort -7574, -356, -2 in descending order.
-2, -356, -7574
Sort -1, -53, 0, -4, -44, 3438.
-53, -44, -4, -1, 0, 3438
Sort -4, -18, -10153, -13 in ascending order.
-10153, -18, -13, -4
Sort -4, 48, 1, -23815, 6, -1 in decreasing order.
48, 6, 1, -1, -4, -23815
Sort 0, -72, -85, 24, -2 in decreasing order.
24, 0, -2, -72, -85
Sort 7, 3, 574, -4, 1, -36 in decreasing order.
574, 7, 3, 1, -4, -36
Sort -2, 34, 2, 5943, 0 in descending order.
5943, 34, 2, 0, -2
Sort 8843, -9, -2/3, 4.
-9, -2/3, 4, 8843
Sort -1/26, 1/7, 299, 1406 in ascending order.
-1/26, 1/7, 299, 1406
Sort 1, -4, 570, -3, -77, 4, 0.
-77, -4, -3, 0, 1, 4, 570
Sort 0.2, -385/19, 4, 4/9, 20, 5 in decreasing order.
20, 5, 4, 4/9, 0.2, -385/19
Sort 17, 5, 110/7, -1, -5, -1/6, 7 in descending order.
17, 110/7, 7, 5, -1/6, -1, -5
Sort 8, -1, 336675.
-1, 8, 336675
Put -33637.92, -2/7, 1/7 in decreasing order.
1/7, -2/7, -33637.92
Sort -5431, -17, -189 in decreasing order.
-17, -189, -5431
Put 18, -4/7, 23819, 0 in descending order.
23819, 18, 0, -4/7
Sort 30, -1, -13, 32, -108 in decreasing order.
32, 30, -1, -13, -108
Sort 0.3, -39, -14.1, -8.4 in descending order.
0.3, -8.4, -14.1, -39
Sort -0.4, 1055, 46, 11/3, 0.5, -7 in descending order.
1055, 46, 11/3, 0.5, -0.4, -7
Sort -507.212, 5, -0.1 in decreasing order.
5, -0.1, -507.212
Sort -2, -512086/5, -4 in increasing order.
-512086/5, -4, -2
Sort -11, 40, -13, 0, 19 in descending order.
40, 19, 0, -11, -13
Sort 9654, 6/7, -0.1, 3/4, 0.2, 3/2.
-0.1, 0.2, 3/4, 6/7, 3/2, 9654
Sort 0, 6071/2, -102 in increasing order.
-102, 0, 6071/2
Sort 0.79, -0.1, 3, 13, -3 in ascending order.
-3, -0.1, 0.79, 3, 13
Put 1, 5761, -279 in ascending order.
-279, 1, 5761
Put 499, 3, 1/2, -1/919 in decreasing order.
499, 3, 1/2, -1/919
Sort 0, 3164, 0.4, -2, 58 in decreasing order.
3164, 58, 0.4, 0, -2
Put 3, 44, 0.403, -1/550, 4 in descending order.
44, 4, 3, 0.403, -1/550
Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
}?
1/180
What is prob of sequence pn when two letters picked without replacement from nljjjxnnllpcnpllxnnx?
3/95
Three letters picked without replacement from {q: 3, r: 3, l: 2}. Give prob of sequence lqq.
1/28
Calculate prob of sequence rp when two letters picked without replacement from flpffwflffwrl.
1/156
Two letters picked without replacement from {s: 2, z: 2, n: 1, w: 4}. Give prob of sequence sw.
1/9
Four letters picked without replacement from {k: 2, q: 2, a: 1, y: 12, r: 3}. Give prob of sequence qkra.
1/9690
Two letters picked without replacement from {w: 8, l: 9, x: 1, e: 1, g: 1}. What is prob of sequence xw?
2/95
What is prob of sequence nq when two letters picked without replacement from {n: 1, i: 7, u: 1, b: 1, q: 3}?
1/52
Four letters picked without replacement from xfxxfxwwxwffxxxw. Give prob of sequence ffxw.
4/455
What is prob of sequence ne when two letters picked without replacement from {n: 2, o: 2, e: 1}?
1/10
Two letters picked without replacement from {i: 1, u: 1, e: 1, r: 1, d: 1}. Give prob of sequence ud.
1/20
Calculate prob of sequence wdj when three letters picked without replacement from {j: 4, y: 1, d: 5, w: 3}.
5/143
Two letters picked without replacement from {i: 1, b: 3, w: 2, h: 4, v: 2}. What is prob of sequence iw?
1/66
What is prob of sequence oooo when four letters picked without replacement from oolooolo?
3/14
Three letters picked without replacement from ddbzddbsbdbybdmsd. What is prob of sequence mzy?
1/4080
What is prob of sequence dt when two letters picked without replacement from tdtovdddddvtdvotodvo?
8/95
What is prob of sequence qxgj when four letters picked without replacement from jjggqxxxxgxggjxx?
1/416
Calculate prob of sequence ylj when three letters picked without replacement from {l: 2, y: 2, j: 2}.
1/15
What is prob of sequence rr when two letters picked without replacement from {t: 1, e: 2, r: 9, c: 4}?
3/10
What is prob of sequence rgh when three letters picked without replacement from hhrrrrrrrgrhrw?
9/728
Two letters picked without replacement from ottoo. What is prob of sequence to?
3/10
What is prob of sequence aaaa when four letters picked without replacement from aaaaaaaaaa?
1
Two letters picked without replacement from {q: 4, r: 2, t: 4, l: 6, k: 1, c: 3}. Give prob of sequence tk.
1/95
Three letters picked without replacement from pupup. Give prob of sequence uuu.
0
Three letters picked without replacement from uuueuyyytluaayytaly. What is prob of sequence yyy?
20/969
Two letters picked without replacement from kpjkhok. What is prob of sequence po?
1/42
Four letters picked without replacement from {b: 4, i: 2, a: 5}. What is prob of sequence biia?
1/198
Calculate prob of sequence dooo when four letters picked without replacement from ddoddodoodoodddo.
9/208
Two letters picked without replacement from toooot. Give prob of sequence oo.
2/5
Two letters picked without replacement from {o: 3, e: 11}. Give prob of sequence eo.
33/182
Four letters picked without replacement from {m: 2, j: 3, f: 1, v: 2, i: 6}. What is prob of sequence fiim?
5/2002
Four letters picked without replacement from {r: 5, y: 1, e: 1, g: 3, s: 1, q: 1}. What is prob of sequence rqye?
1/2376
Three letters picked without replacement from {c: 9}. What is prob of sequence ccc?
1
Two letters picked without replacement from xxxxxxlx. What is prob of sequence lx?
1/8
Three letters picked without replacement from {w: 1, t: 1, l: 3, z: 1, h: 7}. What is prob of sequence lht?
7/572
What is prob of sequence lrll when four letters picked without replacement from {u: 3, l: 3, r: 6, t: 1}?
3/1430
What is prob of sequence qa when two letters picked without replacement from uqhqjjaaqqhqfqfqjuq?
8/171
Calculate prob of sequence gl when two letters picked without replacement from gddqdddqqqlud.
1/156
Four letters picked without replacement from pqeaitetqaeqaee. Give prob of sequence pqet.
1/1092
Calculate prob of sequence xxc when three letters picked without replacement from cnxpngcntgxc.
1/220
Four letters picked without replacement from {l: 1, v: 1, u: 2}. Give prob of sequence luvu.
1/12
What is prob of sequence me when two letters picked without replacement from emjnemnjjezms?
3/52
Three letters picked without replacement from efeeeefeff. Give prob of sequence fff.
1/30
Calculate prob of sequence xm when two letters picked without replacement from {g: 6, m: 1, r: 3, s: 5, x: 3, f: 2}.
3/380
Calculate prob of sequence jsv when three letters picked without replacement from svljjslllvj.
2/165
What is prob of sequence ctcr when four letters picked without replacement from cctccrzzzzc?
1/396
Three letters picked without replacement from aiexm. Give prob of sequence mxa.
1/60
Calculate prob of sequence rrsx when four letters picked without replacement from xxrrrxsxjxxx.
7/1980
Calculate prob of sequence iew when three letters picked without replacement from eeqwewwewewwiwwqre.
1/102
What is prob of sequence brb when three letters picked without replacement from {r: 12, b: 3}?
12/455
Four letters picked without replacement from jvjpjvvvjpv. Give prob of sequence pjjj.
1/165
Three letters picked without replacement from {e: 7, w: 1}. What is prob of sequence eee?
5/8
Two letters picked without replacement from nojpdmm. What is prob of sequence no?
1/42
What is prob of sequence aww when three letters picked without replacement from {w: 4, a: 3, q: 4, b: 3}?
3/182
Calculate prob of sequence hdt when three letters picked without replacement from tthchchccchtd.
1/143
Two letters picked without replacement from hhiihhi. Give prob of sequence hh.
2/7
Calculate prob of sequence ujj when three letters picked without replacement from {j: 2, u: 11}.
1/78
What is prob of sequence ya when two letters picked without replacement from uyysasyxxsyyysyyx?
1/34
Two letters picked without replacement from {v: 2, k: 1, u: 2}. Give prob of sequence uv.
1/5
Four letters picked without replacement from {h: 7, i: 1, a: 2}. Give prob of sequence ahai.
1/360
Calculate prob of sequence mr when two letters picked without replacement from {r: 4, f: 1, m: 1, i: 2}.
1/14
What is prob of sequence qvvg when four letters picked without replacement from {q: 6, v: 3, s: 1, g: 3}?
9/1430
Two letters picked without replacement from {d: 1, y: 6, v: 4, f: 3, b: 1}. Give prob of sequence yv.
4/35
Two letters picked without replacement from jjsjjddjsjsjsjsc. What is prob of sequence jc?
1/30
Four letters picked without replacement from {x: 1, f: 1, j: 5, n: 1, b: 2}. What is prob of sequence jfjb?
1/126
Two letters picked without replacement from {u: 1, w: 1, f: 12, m: 1}. Give prob of sequence ww.
0
Three letters picked without replacement from ppwppiphfhvwv. What is prob of sequence pph?
10/429
Three letters picked without replacement from {g: 1, k: 9, o: 7, r: 1, b: 2}. What is prob of sequence kro?
7/760
Calculate prob of sequence zi when two letters picked without replacement from izi.
1/3
What is prob of sequence ppxx when four letters picked without replacement from {x: 5, p: 11}?
55/1092
Three letters picked without replacement from wvvwwvvwwwvvvw. Give prob of sequence www.
5/52
Calculate prob of sequence rrrr when four letters picked without replacement from {r: 18, q: 1}.
15/19
What is prob of sequence ew when two letters picked without replacement from uwwueudwwuwwee?
9/91
Four letters picked without replacement from pnzvpn. Give prob of sequence znpp.
1/90
Four letters picked without replacement from {b: 1, v: 2, a: 1, u: 1, d: 3, x: 3}. Give prob of sequence xabv.
1/1320
Three letters picked without replacement from {w: 4, q: 2, g: 1, m: 1}. What is prob of sequence wqw?
1/14
What is prob of sequence qo when two letters picked without replacement from ooooqoqooqooooooqo?
28/153
What is prob of sequence vvv when three letters picked without replacement from lldvlllvvw?
1/120
What is prob of sequence fv when two letters picked without replacement from {v: 1, f: 3}?
1/4
What is prob of sequence kici when four letters picked without replacement from {i: 2, c: 1, e: 1, k: 13}?
13/28560
Two letters picked without replacement from uuiuuuuuiu. What is prob of sequence uu?
28/45
What is prob of sequence ww when two letters picked without replacement from mswmwm
|
{
"pile_set_name": "DM Mathematics"
}
|
(f) = -13*f**2 - 3*f - 22. Let r be l(-6). Let c = r + 790. Is c a multiple of 15?
False
Suppose 114*j = 138*j - 912. Is j*(-14)/4*280/(-98) a multiple of 53?
False
Suppose -5*l + 177 = -8*l. Let i = 421 - l. Does 24 divide i?
True
Let t be 3/(3 + (-104)/36). Suppose 0 = 5*g - 4*s + 3*s - t, 12 = 4*s. Suppose 0 = 2*x - g*x + 8. Is x a multiple of 2?
True
Suppose 0 = -3*r + 47 - 155. Let g = r - -278. Is g a multiple of 71?
False
Let a(l) be the second derivative of -l**4/12 + l**3 - l**2 - 2*l. Let c be a(5). Suppose -2*r - c*g + 66 = 0, 4*r - 56 - 80 = -4*g. Does 18 divide r?
True
Suppose 3*k - 84 = 2*f, 2*f - 5*k - 36 + 112 = 0. Let s be 11*(-16)/(1 + 3). Let g = s - f. Is g a multiple of 3?
False
Let b be ((-3)/(-9))/(2/6). Let l be b/5 + 68/10. Suppose l*n - n - 1002 = 0. Is 43 a factor of n?
False
Let k be 2 + -2 + 2 + 3. Suppose 4*m - 5*i - 507 = 0, k*i - 481 = -5*m + 164. Does 8 divide m?
True
Suppose 0 = -0*b + 2*b + 4*m - 72, -b = -2*m - 24. Let s = b + -46. Let n(d) = -d**2 - 17*d + 32. Is 11 a factor of n(s)?
False
Suppose -46*x + 34*x + 672 = 0. Suppose 57*l - 106 = x*l. Does 7 divide l?
False
Suppose 0 = -6*d + 7*d - 289. Let z = 167 - d. Let c = z - -235. Is c a multiple of 12?
False
Let r = -89 - -109. Let f be 108/r + 12/20. Does 4 divide (-2 + -5 + 31)/(f/4)?
True
Let n = 4749 - -6981. Does 10 divide n?
True
Is 21 a factor of ((-2)/((-44)/(-52) + -1))/(2/394)?
False
Let y(o) = 3*o**3 - 5*o + 10*o**2 + 2*o**3 - 6*o**3 - 11*o. Let q be y(8). Suppose -3*a + f = -361, q = -3*a + 2*a - f + 119. Does 24 divide a?
True
Let r = -569 - -602. Is 3 a factor of r?
True
Let g(a) = -3*a**2 + 12*a - 8. Let h be g(3). Does 10 divide (3*12/(-9))/(h/(-15))?
True
Is (-2)/26 + (-2505090)/(-546) a multiple of 31?
True
Let z = -39 - -44. Suppose 3*f + 2643 = 2*h, -3596 = -z*h + 3*f + 3025. Suppose -11*k - 6*k + h = 0. Is 4 a factor of k?
False
Suppose 4*z - 20 = -4*d, 0 = d - 4*z + 9 + 1. Suppose 4*t - 609 = -q, -d*t = -3*t - 4*q + 141. Is t a multiple of 51?
True
Is ((-562)/(-10) + 70 + -77)*175 a multiple of 14?
True
Suppose -a - 3*h + 3028 = 0, 0 = 5*a - 5*h + 8*h - 15068. Does 4 divide a?
False
Suppose -3*p = -3*n + 12042, 4*n - 8061 = 2*p + 7983. Is n a multiple of 14?
False
Let m = 19111 + 3145. Does 208 divide m?
True
Let k be -27*(-5)/40 - (-12)/(-32). Suppose 0 = -5*x + k*q + 391, 8*x - 12*x + 314 = -2*q. Is x a multiple of 8?
True
Let c = 1783 - 751. Suppose -c = -18*q + 1200. Is 62 a factor of q?
True
Let t be 4/9 - (233360/(-72))/2. Let s = t - 923. Is s a multiple of 36?
False
Suppose 0 = -5*z + 8 + 2, -21 = 5*x + 2*z. Let j be -1 + x + 6 + (158 - 2). Let g = -93 + j. Is g a multiple of 7?
True
Suppose 0*a = 3*m + a - 100, -3*m - 3*a = -96. Suppose 48*k - m*k = 3920. Does 22 divide k?
False
Let j(x) = -740*x + 3942. Is 73 a factor of j(0)?
True
Let n be -4*(-2 + ((-50)/(-4) - 2)). Let w = 28 - n. Suppose -2*j = -5*r - 43, 0 = 5*j - 2*r - 14 - w. Is 4 a factor of j?
False
Suppose 5*o - 2*o + 28 = g, 3*o + 36 = 3*g. Is 11 a factor of 70/3 + 3 - o/12?
False
Let s = 4484 - 2023. Is s a multiple of 30?
False
Let r = 877 + -706. Let s = r - -649. Does 20 divide s?
True
Let b = 29 - 16. Suppose 5*k = 12 + b. Let f(g) = -g**3 + 6*g**2 - 5*g + 8. Does 3 divide f(k)?
False
Is 16 a factor of (-6)/(-16) - ((-3237)/8 + -11)?
True
Suppose -156*t - 104 = -160*t. Suppose -t*m + 960 = -21*m. Does 15 divide m?
False
Suppose 23*t = 153*t - 441350. Is t a multiple of 101?
False
Let p = -47 + 61. Suppose p = x - 46. Suppose 58*u - x*u = -238. Is 20 a factor of u?
False
Let i(w) = w**3 + 22*w**2 + 20*w - 6. Let f be i(-21). Suppose f*y - 1550 = 1150. Is 18 a factor of y?
True
Let a = -6 + 9. Suppose u + 16 = a*u. Suppose u*k - 540 = -2*k. Does 18 divide k?
True
Suppose 30*l - 22*l - 128 = 0. Suppose -l*h + 6539 = -4517. Does 47 divide h?
False
Suppose -4*q = 4*d - 6*q - 25836, 4*d - 25844 = 4*q. Is d a multiple of 8?
False
Let f(m) = -35*m - 2. Let v(b) = -b**3 - b. Let s be v(-1). Suppose -6 = s*i + 4*g, 0 = 6*g - 2*g + 4. Does 11 divide f(i)?
True
Let o = -88 + 193. Let j = -76 + o. Is 3 a factor of j?
False
Let v(k) = 2*k**2 - 3*k + 2. Let b be v(2). Suppose 1 = 3*p + b, 38 = 3*y - 2*p. Suppose 450 = 17*l - y*l. Does 30 divide l?
True
Let n = 2 + -4. Let x(r) = 23*r - 29*r - 22*r - 2 - 69*r. Is x(n) a multiple of 24?
True
Let h(z) = 194*z - 16*z**2 + 6*z**3 - 3*z**3 - 190*z + 10. Let j be h(5). Suppose j*d - 6*d = -11. Does 7 divide d?
False
Suppose 0 = 5*l - 109 + 94. Suppose -2*a - l*o = 3*a - 2464, -3*o = 3*a - 1476. Is a a multiple of 38?
True
Let g(o) = -1531*o - 4448. Does 240 divide g(-18)?
False
Suppose 195 = -5*q + v + 583, -q + 5*v + 92 = 0. Let z be (-4)/(-14) - (-209)/q. Suppose -y = z - 5. Is 2 a factor of y?
True
Let u = -602 - -301. Let y = 480 + u. Is y a multiple of 70?
False
Let c(l) = -147*l**3 + 7*l**2 + 23*l - 1. Is c(-3) a multiple of 38?
False
Suppose -110 = -4*q + 246. Suppose -q*s = -94*s + 2440. Is s a multiple of 9?
False
Suppose 4*f - 24986 = -5*m - 8451, -3*f - 3*m = -12405. Suppose -19*k = 11*k - f. Does 8 divide k?
False
Let g = -209 + 209. Does 38 divide (g - 3)/(-3) - 3 - -116?
True
Let c(j) = -125*j**3 + 3*j**2 + j - 2. Suppose -8*x - 13 = 3. Does 16 divide c(x)?
True
Suppose 0 = 4*i - 6*i + 272. Suppose -5*t - i = 554. Let z = -96 - t. Is z a multiple of 14?
True
Is 86 a factor of 24/(-27) - (-441228)/54?
True
Suppose 9*n - 5*d - 314312 = -117692, 5*d = 4*n - 87395. Does 17 divide n?
True
Let p(d) = 2*d**3 + 60*d**2 + d + 36. Let n be p(-30). Suppose n*l = 3647 + 4519. Does 26 divide l?
False
Let y = 449 - -850. Suppose -2*i + 997 + y = 0. Is 63 a factor of i?
False
Suppose 18*b - 18900 = -18*b. Suppose -h - 4*o = 2*h - 1575, h - 5*o = b. Does 15 divide h?
True
Let f = 24907 - 19603. Does 39 divide f?
True
Let k(y) = 8*y**3 - 12*y**2 + 22*y - 22. Is k(6) a multiple of 84?
False
Let t(i) = i**3 - 14*i**2 + 50*i - 1050. Is t(20) a multiple of 11?
False
Let o be (-6)/(-2*5/((-40)/(-6))). Suppose q + 8*h + 23 = o*h, 3*q - 1 = 2*h. Does 2 divide q*8/36 - 46/(-6)?
False
Suppose -4*y + 112 = 3*y. Suppose -c + 5 = 0, 21 + y = 3*a - 4*c. Is a a multiple of 14?
False
Suppose 71 = 9*g - 109. Suppose 768 = g*b - 9032. Is 14 a factor of b?
True
Let k be (1 + 0)/(-4 + (-259)/(-63)). Suppose 3*g + 12 = 0, -2*h + 5*g = -5*h + 2074. Suppose -k*x + h = -76. Does 15 divide x?
False
Suppose 14*i - 253 - 321 = 0. Suppose 33*l = i*l - 2064. Does 29 divide l?
False
Suppose 0 = c + c - 12. Let o = -386 + 377. Is (-312)/o - (-8)/c a multiple of 4?
True
Let k(j) = -49*j - 42. Let l be k(-9). Suppose -c + 10 = -l. Suppose 6*m - 965 = c. Is 28 a factor of m?
False
Let l = 30 - 21. Suppose 2*r - 3*c - 14 = -3, c + l = -2*r. Is ((-324)/(-20))/((-11)/(-5) + r) a multiple of 9?
True
Suppose -119 = 3*j - 14. Let w be 2/7 + (-4 - 165/j). Is 44 a factor of (-618)/(-7)*w + 4/(-14)?
True
Is 2 a factor of 13 + (-20 - -31) - -1574?
True
Let y = 2010 + 783. Is 88 a factor of y?
False
Let l(a) = -a**2 + 23*a + 29. Let z be l(24). Suppose 2*p - 5*b = -2*p + 957, -4*b = z*p - 1227. Does 55 divide p?
False
Let n(y) = 24489*y**2 - 250*y + 252. Does 317 divide n(1)?
False
Let v(f) = -f**3 + 10*f**2 - 2*f + 8. Suppose u + 9 = 2*u. Let n be v(u). Let j = n - 14. Is j a multiple of 17?
False
Let d be (-5 - (-4 + -1)) + 1 + 0. Let w = 134 + d. Is w a multiple of 21?
False
Is 87 a factor of (12035/2)/((-2)/15 + (-534)/(-1780))?
True
Let i = -38 + 92. Is (-18)/i - (-643)/3 a multiple of 9?
False
Let n be 4/3*8/(-32)*-15. Suppose 665 = -4*m + n*v + 110, -5*m + 5*v = 695. Let a = -63 - m. Does 14 divide a?
False
Suppose 0 = -6*k - 5 - 1. Let n be 12 - 12 - (k + -73). Suppose n + 66 = 7*j. Does 6 divide j?
False
Let u(n) = -n**2 - 2*n + 15. Let x be u(-5). Suppose r - 302 = -5*s + 53, -s + 62 = 2*r. Suppose d - j - 2*j - 80 = x, -5*j - s = -d. Is 23 a factor of d?
True
Let x be -7 + 62/5 - (-4)/(-10). Suppose -4*k + 1983 = -x*z + 2*z, -4*k = 2*z - 1998. Is k a multiple of 29?
False
Suppose -13*v = -17*v + 160. Let o(b) = b**2 + 2*b - 10. Let s be o(-5). Suppose s*c - v = 3*c. Is 6 a factor of c?
False
Let r = 2745 - -4899. Is r a multiple of 13?
True
Suppose -48*f - 10*f - 39*f = 25511. Let d be (4/10)/(3/2865). Let q = d + f. Is q a multiple of 25?
False
Suppose -441*
|
{
"pile_set_name": "DM Mathematics"
}
|
43141?
43141
Are -3139260 and -21974830/7 nonequal?
True
Which is smaller: -1135028 or -0.06?
-1135028
Is -214577509 not equal to -214577507?
True
Which is bigger: -0.13973134 or 66?
66
Do -107041 and -107353 have the same value?
False
Is 1 not equal to 1021/1239460?
True
Which is greater: -111 or -2/3951?
-2/3951
Is 1 greater than -42877/3314?
True
Which is greater: -43932 or -44169?
-43932
Which is smaller: 205 or 823/6?
823/6
Which is greater: -625996 or -625990?
-625990
Which is smaller: 0.88866 or 157?
0.88866
Is -0.5645 less than or equal to 0.03118?
True
Is -123905497 bigger than -123905496?
False
Is 90 equal to 8046?
False
Which is bigger: -29316978 or -2/27?
-2/27
Is 302/14271 greater than -1?
True
Which is smaller: 3983163 or 3983164?
3983163
Which is greater: 65075543 or 65075544?
65075544
Is -1 < 2/5762244471?
True
Is -82260/101 equal to 1?
False
Which is smaller: 1 or -14/7812027?
-14/7812027
Is -1213 > -2170?
True
Which is greater: -1 or -1/31867918?
-1/31867918
Are 2031699 and 2031699 non-equal?
False
Is 31207816 smaller than 31207819?
True
Which is bigger: 12005094 or 12005096?
12005096
Which is greater: 6/2821363 or 1?
1
Are -16/26437 and 0 nonequal?
True
Which is bigger: -635 or -150826/237?
-635
Which is greater: 3/2719275814 or -1?
3/2719275814
Which is smaller: 10899/2542 or 4?
4
Which is smaller: 91063163 or -2?
-2
Is -23610 not equal to -16790?
True
Which is smaller: 76/1330351 or 0?
0
Which is smaller: 1/5 or -0.31026409?
-0.31026409
Is 116096/3 < 38698?
False
Which is bigger: -29 or -38912/1307?
-29
Which is bigger: 14/16842297 or 1?
1
Is 34563 <= 34240?
False
Which is greater: -2437259 or -2437302?
-2437259
Which is smaller: -511/255215 or 1?
-511/255215
Is 1 < 52/6384581?
False
Which is smaller: 1/9 or -89650/567?
-89650/567
Which is bigger: -86850378 or -86850392?
-86850378
Does -13281/1586 = 1/16?
False
Which is smaller: 0 or 2812/11539?
0
Which is bigger: 73/304581 or 1?
1
Is 319/8433 >= 0?
True
Are -1 and -1/50355127 equal?
False
Which is bigger: -157782807 or -157782813?
-157782807
Is -1 <= 1/23387456?
True
Is -2/277385239 < -1?
False
Is 0 not equal to -1/36076499?
True
Is -1 < 6013429?
True
Is 1536884 < 173?
False
Is 1 bigger than -13/2541504?
True
Is -12694 smaller than -17322?
False
Which is smaller: 485301 or -1/548?
-1/548
Which is greater: 160646007/5 or 32129202?
32129202
Which is smaller: -0.0269 or 14235?
-0.0269
Are -2/641 and 1296115 unequal?
True
Is 51407943 <= 51407945?
True
Is 83474314 not equal to 83474316?
True
Is 14019213 at least as big as 3?
True
Is -2083550 != -29169699/14?
True
Is 1275271 greater than or equal to 5101089/4?
False
Which is smaller: 0.080551 or 2.7?
0.080551
Which is greater: -14730425/2 or -7365214?
-14730425/2
Which is greater: -5/20250998 or 0?
0
Which is bigger: -212/2336191 or -1?
-212/2336191
Is 205450078 <= 205450075?
False
Which is bigger: 2/15 or 956399?
956399
Which is smaller: 3 or -180575.46?
-180575.46
Which is bigger: 26/1571 or 17?
17
Is -4687/33845 at least as big as 0?
False
Do 32108707 and 32108703 have the same value?
False
Is -173281 at least as big as 152?
False
Which is smaller: -1922 or -1930?
-1930
Which is smaller: -31618 or -31612?
-31618
Is 6217/119 != 51?
True
Is -6355/6089 > 0?
False
Do 45286550 and -2/21 have the same value?
False
Which is smaller: 32752740 or -1?
-1
Is 1365640 greater than 1365613?
True
Which is bigger: -222/5906275 or 1?
1
Which is smaller: 115582 or 121689?
115582
Which is bigger: 108246672 or 0?
108246672
Is 3077 greater than 33927?
False
Is 109244/5243 at least as big as 21?
False
Is -1 != 191/5052?
True
Are -1 and -347/5149 nonequal?
True
Are -2 and -4/4464203 nonequal?
True
Which is greater: -6266970 or -6266971?
-6266970
Which is bigger: -0.1 or 643938/13?
643938/13
Is -251772139 smaller than -251772140?
False
Are 0 and -1/1832421704 equal?
False
Is 4/6291387 less than -0.1?
False
Is -3845852 less than -3845859?
False
Is 0 smaller than -20/113673?
False
Do -586142 and -32 have the same value?
False
Which is smaller: 0 or -1431/49291?
-1431/49291
Are -378492/2275 and -165 unequal?
True
Are -100114735 and -100114739 non-equal?
True
Which is smaller: -1 or 1907/8709?
-1
Which is smaller: 3154462 or 2/5?
2/5
Are -2711578/25 and -108463 equal?
False
Which is smaller: 91/27663 or 1?
91/27663
Which is greater: 64374 or 64248?
64374
Do 16970 and 1187863/70 have the same value?
False
Is 64161496 greater than or equal to 64161496?
True
Which is smaller: -177355 or -177145?
-177355
Which is greater: -3/304 or 227376?
227376
Is -1 at least 16910/91221?
False
Is -10614266 bigger than -10614263?
False
Which is greater: 1 or -7/141476523?
1
Which is bigger: -49696 or 31/13?
31/13
Are -3 and 111495/103 equal?
False
Is -44746 less than or equal to -44772?
False
Is 157 smaller than -26275?
False
Which is bigger: -40336/85 or -0.1?
-0.1
Which is bigger: 2785 or 177.27?
2785
Which is smaller: -390938 or -393777?
-393777
Which is greater: -139734 or 1516?
1516
Which is greater: 932 or -86681?
932
Is -144 less than -16230/113?
True
Which is bigger: -1 or -3/3059882?
-3/3059882
Is 1 equal to 149/380313?
False
Which is bigger: 3141721 or 3141698?
3141721
Is 14370 <= 15340?
True
Which is greater: 256636031 or 256636030?
256636031
Is -183345049 > -183345050?
True
Which is smaller: 28 or 906703?
28
Is 0.2 equal to 1/39958214?
False
Which is bigger: 1 or 272/66839?
1
Which is smaller: 2/354930273 or 1?
2/354930273
Is 3672434 at least 3672440?
False
Is 36997 less than -2394?
False
Is 0.5 equal to -17439/2?
False
Which is smaller: -5085 or 728?
-5085
Is -71954 > -72034?
True
Is -1577356/7 at most -225336?
True
Which is greater: -6543 or -386112/59?
-6543
Is 43849242 less than or equal to 43849236?
False
Which is bigger: -8/356406613 or 1?
1
Is 1566192865 less than or equal to 1566192866?
True
Which is bigger: -22338 or -22249?
-22249
Which is smaller: 1 or 1007/169170?
1007/169170
Does -78788048 = -78788048?
True
Are -22/251 and -0.07131 nonequal?
True
Is 5703174 >= 5703173?
True
Is 1895740 less than 1/3?
False
Is 0 at most -1512/149603?
False
Which is bigger: 5365244 or -0.2?
5365244
Which is bigger: -1/12 or -37517395?
-1/12
Which is greater: 133813109 or 1/4?
133813109
Is -288049 at most as big as -287897?
True
Which is smaller: -5710112 or -5710103?
-5710112
Do -90653/1265 and -71 have the same value?
False
Which is smaller: -0.011 or 842786/27?
-0.011
Which is bigger: 9109397/20 or 455469?
9109397/20
Which is smaller: -34715 or -34963?
-34963
Is 109/5387234 at least as big as -1?
True
Which is smaller: 8815603 or 8815604?
8815603
Which is bigger: -0.075656 or -0.02?
-0.02
Is -3380811 < -3380803?
True
Which is bigger: 1.463769 or -16?
1.463769
Which is greater: -442612736 or -442612735?
-442612735
Are 8650851 and 8650853 equal?
False
Which is smaller: -1/16735297 or 0?
-1/16735297
Is -1714 at most as big as -42886/25?
False
Is -2 at least -43308/12455?
True
Do -3596 and -23409 have different values?
True
Which is smaller: -1 or -1435/20407?
-1
Is 1 smaller than 7/796837775?
False
Which is bigger: 88795276 or -2/3?
88795276
Is 2/5 at most as big as 3714522?
True
Which is smaller: -1 or 392454192?
-1
Is 319701999 equal to 319702000?
False
Are 2/17 and 18997711 non-equal?
True
Is -175205 > 31?
False
Is -12165 at least as big as -12158?
False
Which is greater: -23750729/8 or -2968842?
-23750729/8
Which is smaller: 0.386396 or 2/49?
2/49
Which is bigger: 1/13 or 0.544844?
0.544844
Which is bigger: 421 or 1/184644?
421
Which is smaller: -3/68296675 or -1?
-1
Is -1/15416438 equal to 1?
False
Are -3/1697 and -66836 unequal?
True
Which is smaller: -12 or 871231?
-12
Which is greater: 0.23998 or 68.75?
68.75
Which is bigger: 7629257 or 7629253?
7629257
Which is bigger: 156516574 or 156516577?
156516577
Is -150 equal to -113733/761?
False
Is 79/3974 equal to -1?
False
Is -12074784/13 != -928829?
True
Is -131664 greater than -131602?
False
Is -2965 at least -1524303/514?
True
Is -2.2 at least -135/10097?
False
Which is smaller: 118/1075507 or -1?
-1
Which is smaller: 0 or 57/48524?
0
Do -3027613 and -3027618 have the same value?
False
Which is smaller: -55930356 or -55930362?
-55930362
Which is smaller: -11450 or -3/257?
-11450
Is -16646/17 <= -9/2?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -2*w = -3*o - 4, 5*o = a*w - 7 + 3. Solve -5*x - 7 - 3 = o for x.
-2
Let i(b) = -2*b - 10. Let s be i(-9). Suppose s = 5*k - 7. Let h be (-2)/(3 + 1)*-2. Solve k*l - 4*l = h for l.
-1
Suppose -5*i = -4*t - 8, t - 5*t = 2*i - 20. Solve f = t*f - 8 for f.
4
Let t(o) = o**2 + 8*o - 6. Let x be t(-9). Let q be 6/15 - (-2)/(-5). Solve -y = -q*y + x for y.
-3
Suppose -2*p + 8 = 2*p. Solve f + p = -f for f.
-1
Suppose i = -3, -7*z = -3*z + 2*i - 78. Let g(w) be the third derivative of w**5/60 - w**4/6 - 5*w**3/6 - w**2. Let y be g(5). Solve y = -3*h + z - 6 for h.
5
Suppose -2*c = i - 16, -83 = -3*i - c + 2*c. Solve -i = 5*f - 1 for f.
-5
Suppose 0 = -3*x - 2*g + 8, 3*g = 5*x - 15 - 11. Solve -z - 9 = -x*z for z.
3
Suppose 2*s - 3*y = -2*s + 31, -5*s - y + 15 = 0. Suppose -s = -u + 3. Let a be (-1 + 0)*(-3 - u). Solve -g = -3*g + a for g.
5
Suppose 8*z = 3*z - 20. Let c = z + 12. Solve 5*i - 3 = -c for i.
-1
Suppose -4*i - 8 = -x - 3*x, 3*i = -x + 10. Suppose -3*f + 3*p = 0, 4*p + 12 = x. Let n be -2 + (f - (-1 - 10)). Solve n - 3 = w for w.
4
Let r = -242 + 263. Suppose -3*v + 15 = 2*v. Solve 6 = -v*y + r for y.
5
Let r be (0 - 1) + -8 + 3. Let t = r + 9. Let d be (-18)/(1 - (-5)/(-2)). Solve t*m - d = -0*m for m.
4
Suppose -f - 3*p = -p - 3, 5*p = 5*f. Let r = 4 + f. Let m be (-9)/(-6)*2 - 3. Solve m = r*j - 0*j + 15 for j.
-3
Let y be (-12)/9*(-6)/4. Suppose -2*n - l + 3 = -0, -4*n - 14 = -y*l. Let j be 3*n*(-1)/1. Solve 5*s = j*s + 2 for s.
1
Let u be 4/3 + (-4)/3. Let r be (-4)/4*(u + -3). Solve -r = -k - 2*k for k.
1
Let p be 3 + -3 + 0 - (-1 - -1). Solve p = 3*r + r + 4 for r.
-1
Let x(o) = o**2 - 6*o - 11. Let p be (-9)/15 - 43/(-5). Let i be x(p). Solve g = -0*g + i for g.
5
Suppose t - 2*t = 0. Suppose t = u - i + 2*i + 1, -2*u = 5*i + 17. Solve u*j + j = 0 for j.
0
Suppose -5*i = 2*n - 1 - 6, -i = 2*n - 11. Suppose 0 = 3*r - n*r. Suppose -4*l + 20 + 28 = 0. Solve r = -5*j - l + 37 for j.
5
Suppose c - 2 = -0. Let j = c + 2. Let q(y) = 2*y + 16. Let v be q(-7). Solve j*h - 3*h + v = 0 for h.
-2
Let k(r) = r**3 + 10*r**2 + 13. Let p be 10/4*(-13 - -9). Let t be k(p). Suppose -2*l - 2 = 0, 2*o + 5*l - t = -0*o. Solve v + 2*v = -o for v.
-3
Let y be 0 - 1/((-3)/6). Suppose 5*g = -y*f - 0*g - 17, g - 7 = -3*f. Suppose 0 = -2*k - 0 + f. Solve k + 2 = -m for m.
-4
Let d be (-2 + 2)/(2/(-2)). Let u = -18 - -26. Suppose 4*a = -d*a + u. Solve -w = -0*w - a for w.
2
Let n(b) be the first derivative of b**2/2 + 2*b + 4. Let z be n(2). Solve -z*v - 7 = 1 for v.
-2
Let i(n) = -n**2 + 18*n + 2. Let p be i(18). Solve -p*b + 16 = 2*b for b.
4
Let o(h) = -h**3 - 3*h**2 - 3*h. Let z be o(-3). Solve 0 = -l + 4*l - z for l.
3
Let r(h) = -h**3 - 5*h**2 - 5*h - 3. Let u be r(-4). Solve -w - 4 + u = 0 for w.
-3
Let s(f) = f**3 - 5*f**2 + 5*f + 5. Let u be s(4). Solve 0 = 2*q + q + u for q.
-3
Let f = 13 - 13. Solve f = -2*o + 1 + 9 for o.
5
Suppose t - 7 = 2*r, -12 - 8 = -3*t + 5*r. Suppose t = 7*k - 2*k. Solve k = -4*j + 5 for j.
1
Suppose 5 = 2*n - 5. Solve -n*q + 9 - 4 = 0 for q.
1
Let g = -21 + 14. Let x be (-1)/(-4) - g/(-28). Solve 0 = -5*w - x*w - 15 for w.
-3
Let y(p) = 2*p**2 - 27*p - 10. Let g be y(14). Solve 0 = g*n - 0*n for n.
0
Let x = 9 - 3. Let z(c) = -c**2 + 6*c + 3. Let a be z(x). Solve 2*k + 1 = -a for k.
-2
Let j = 69 - 65. Solve -j*o + 8 = -0 for o.
2
Let g(l) = -l. Let z be g(-2). Suppose -5*c + 35 = 10. Let i be (-7 + 5)/((-2)/c). Solve i*n - 7*n = z for n.
-1
Let a be (6/5)/(6/40). Let g(p) = -12*p + 123. Let y be g(10). Solve -y*d - a = -d for d.
-4
Let g be ((-27)/6 - -3)/(15/(-20)). Solve -1 = -3*c + g for c.
1
Let n be ((-30)/8)/((-1)/4). Let f(b) = -b**2 + 4. Let z be f(4). Let q be (-75)/z + (-1)/4. Solve q*l = l + n for l.
3
Suppose 4 = -k - 1. Let c(u) = u**3 + 4*u**2 - 5*u + 3. Let m be c(k). Suppose 3*p - m = -2*y + 1, 2*y = 3*p + 4. Solve -2*o - 4 = -y for o.
-1
Let x(y) = y**2 - 2*y + 3. Let g be x(2). Suppose 3*w = 2*p + 2*w - 45, 5*p - 5*w = 100. Suppose 0 = 5*v + 5 - p. Solve v*k - g = k for k.
1
Suppose -5*p = -17 + 17. Solve p = -3*n - n for n.
0
Let v be (25*4/(-2))/(-2). Solve 6*p - p = v for p.
5
Let w = 180 - 175. Solve 6 = w*g - 4 for g.
2
Let i = -7 - -7. Suppose i = 3*v - 3*o + 3 + 6, -3*o = 5*v - 9. Solve -f - 5 = -v for f.
-5
Suppose -23 - 1 = 4*i. Let n = i - -6. Suppose -4*t + 15 + 4 = o, -5*t - o = -23. Solve t*s - 3*s - 2 = n for s.
2
Suppose 1 = 5*q - 9. Suppose -4*k = -9*k + 15. Suppose -k*t + 1 = -q*g, -5*g - t - t + 7 = 0. Solve h - g = -2 for h.
-1
Let d(z) = 2*z**3 + 9*z**2 - 5*z + 2. Let n be d(-5). Solve -n*k - 4 = 6 for k.
-5
Let m(p) = -4*p + 3*p**2 + 12*p + 2 + 5. Let f be m(-5). Suppose -f = -4*q + 2*a - 7*a, -3*q - 2*a = -28. Solve -5*g = -2 - q for g.
2
Suppose 0 = 3*m - 20 - 28. Let y = m - 10. Solve l - y = -l for l.
3
Let m(k) be the first derivative of k**2 + 10*k - 6. Let c be m(-5). Suppose -2 = -x + 6. Solve 5*n - n - x = c for n.
2
Let x(g) = g**3 - 5*g**2 + 4*g. Let w be x(4). Suppose 0 = -5*n + 5*l, 0*n - n = 2*l. Let f be 2 - (-1 + n) - w. Solve 0 = f*p - 0*p for p.
0
Suppose 5*r - 35 = -4*k - k, 0 = 4*r - 12. Solve -4*g = -2*g + k for g.
-2
Let w = -1 + 2. Let l be -1 + w - (-3 + 1). Let f = 42 - 36. Solve -f = l*d + d for d.
-2
Suppose 5*j + 190 = 55. Let m = -15 - j. Solve -l = -5*l + m for l.
3
Let h(p) = -p**3 + 7*p**2 + 20*p - 16. Let r be h(9). Solve -3*x = -4*x + r for x.
2
Suppose 3*i = -f - f, 0 = -i + 3*f. Solve -15 = -3*s - i*s for s.
5
Suppose -n + 0*n - 6 = 0. Let x be (1 + -1)*6/n. Solve -4*f = -x*f for f.
0
Let m(l) = l**3 + 5*l**2 + 3*l - 2. Let u be m(-3). Let d be (-2)/(-3) - u/(-3). Solve -d*s + 2*s - 5 = 0 for s.
-5
Let q(l) = 0*l**3 - 2 + 2*l - l + 4*l**2 + 0*l**2 + l**3. Let f be q(-2). Solve -5*x + f = -4*x for x.
4
Suppose 2 + 7 = -3*l, -5*z - 5*l + 15 = 0. Solve -4 = -2*v + z for v.
5
Suppose 5*x - 58 = -n, 5*n = 3*x - 6*x + 26. Solve 12 + x = 6*j for j.
4
Let q be 28/6*36/42. Let x be (-2)/2 + 3 + 0. Solve x*h - q = h for h.
4
Let c = 4 - 1. Let b = 160 - 157. Solve b*m - 6 = -c for m.
1
Suppose -2*g + 1 = 5. Let q = g - -3. Solve -3 = b + q for b.
-4
Suppose 21 = 3*t + 3*j, -j - 13 = -3*t - 0*j. Suppose -4*n - 2*q = 2*q + 4, 0 = -4*n - t*q - 8. Suppose -3*z + 2*z = 0. Solve -n*u + 7*u = z for u.
0
Let a = -23 + 25. Solve 20 = a*m - 6*m for m.
-5
Let w(p) = -p**2 - 7*p + 3. Let d be ((-9)/(-6))/(9/12). Suppose 5*o + 31 = -5*b + o, 0 = d*o - 2. Let u be w(b). Solve -4*x + 5 = -u for x.
2
Suppose 9*x - 3 = 33. Solve x = -0*z - z for z.
-4
Let q = 23 + -21. Solve 2*v = -q*v - 20 for v.
-5
Suppose 57 = 3*b - 6. Let j = -29 + 18. Let q = j + 16. Solve q*x = b - 1 for x.
4
Suppose a - 9 = -2*a. Suppose 2*l - 8 = 2*w + 12, -2*l = a*w - 10. Solve l*p = 3*p - 20 for p.
-4
Suppose -3*u = 2*x - 7*u - 6, -4*x = -u - 12. Suppose x*g = 3*t - 3, 0 = t - 3*g - g - 1. Solve j = -0*j - t for j.
-1
Let o = 6 - 4. Suppose f = -f + o. Let y be 0/(-3) + f + 1. Solve 0 = n - y for n.
2
Let p = -1 - -5. Let n = 3 - p. Let f be (n - 1) + 3 + 3. Solve 7 + 9 = -f*k for k.
-4
Let m be 2/2 - (2 + -2 + 0). Solve -2*j - 3 - m = 0 for j.
-2
Let n(f) = 2*f + 38. Let r be n(-17). Solve 0 = 5*c - c - r for c.
1
Let b = 17 - 13. Suppose -3*h - 3*k = -42, -b*h + 5*k + 8 = -30. Solve -3*l + h = -0*l for l.
4
Let n(w) = -w**2 - 5*w + 1. Let z be n(-6). Let j(k) = k**2 + 3*k - 7. Let f be j(z). Solve -q + 20 = f*q for q.
5
Let p(j) = 2*j**2. Let g be p(-1). Solve 0 = 3*o - o - g for o.
1
Suppose -2*b - 4*r + 3 = -17, 5*b - 35 = 5*r. Let v(z) = z**3 - 9*z**2 + 8*z + 2. Let o be v(b). Solve 5*l - 3 = o*l for l.
1
Suppose 2*q = 7*q - 10. Let a be (0 - (-1)/q)*0. Suppose a = -4*z - z + 10. Solve z = h + h for h.
1
Let i be ((-52)/(-8) - 0) + 8/16. Solve -i*s = -5*s + 4 for s.
-2
Let j be ((-12)/8)/(3/(-4)). Suppose -v + j*v = 2. Solve -v*o + 10 = 3*o for o.
2
Let t be 4/(-26) + 2/13. Suppose 0 = -5*s - 3 + 8. Solve -a + s = -t for a.
1
Let p = 11 - 24. Let a(k) = 2*k**2 - 8*k - 6. Let z be a(6). Let f = p + z. Solve -f*n + 10 = 25 for n.
-3
Suppose 5*y = 2 + 3. Let q(d) = d**3 - 4*d**2 - 7*d + 6. Let u be q(5). Let a be (1 + 2)/((-3)/u). Solve -y = -a*k + 3*k for k.
1
Let y(f) = 0*f**2 - 4*f**2 - f**3 - 3*f**2 + 5*f + 4 + 4*f**2. Let m be y(-4). Suppose m*d + 3*q = -d + 5, -2*q = -4*d + 20
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Does 15 divide 5151007?
False
Does 2485 divide 97560229?
False
Does 673 divide 9109728?
True
Does 5 divide 1041102682?
False
Does 306 divide 2601084762?
True
Is 2 a factor of 38785174?
True
Is 126 a factor of 2505404827?
False
Is 27 a factor of 119241742?
False
Does 30 divide 72087820?
False
Does 205 divide 159488169?
False
Is 16 a factor of 70899061?
False
Is 58108792 a multiple of 2700?
False
Is 1093270212 a multiple of 57?
False
Is 135700437 a multiple of 2918?
False
Does 133 divide 81699487?
False
Is 150840794 a multiple of 179?
True
Does 1135 divide 149185535?
True
Is 42281744 a multiple of 302?
False
Does 122 divide 384184181?
False
Does 109 divide 247709803?
True
Is 2431284646 a multiple of 96?
False
Is 15 a factor of 4182748395?
True
Is 46951737 a multiple of 291?
False
Is 55481959 a multiple of 1282?
False
Is 4130603098 a multiple of 1014?
False
Is 863620080 a multiple of 872?
True
Is 30873160 a multiple of 109?
True
Is 423 a factor of 26825391?
True
Is 23608798 a multiple of 38?
False
Does 975 divide 465728849?
False
Does 232 divide 19365677?
False
Does 330 divide 1835519730?
True
Is 61959384 a multiple of 1896?
True
Is 7039602 a multiple of 407?
False
Is 93 a factor of 1156455?
True
Does 50 divide 16957572?
False
Is 36547560 a multiple of 45?
True
Is 23 a factor of 234907073?
True
Is 10595504 a multiple of 388?
True
Does 2023 divide 115677163?
True
Is 3344134080 a multiple of 6106?
True
Is 1863653760 a multiple of 342?
True
Is 479710199 a multiple of 62?
False
Is 13 a factor of 272053726?
False
Does 186 divide 328363656?
True
Is 213759456 a multiple of 4314?
False
Does 1833 divide 8184345?
True
Is 25988860 a multiple of 40?
False
Is 44934770 a multiple of 1494?
False
Is 31 a factor of 204663840?
False
Is 145726357 a multiple of 239?
False
Is 296641 a multiple of 29?
True
Is 2388 a factor of 329486688?
True
Is 13 a factor of 93031557?
False
Is 927 a factor of 113323896?
True
Is 117 a factor of 574832934?
True
Is 6 a factor of 1024560652?
False
Does 921 divide 25590906?
True
Does 3 divide 4205411?
False
Does 4363 divide 3814828317?
True
Is 884 a factor of 323514828?
True
Is 82143412 a multiple of 26?
True
Does 928 divide 32712000?
True
Is 725648386 a multiple of 941?
True
Does 194 divide 8688896?
False
Is 46426849 a multiple of 111?
False
Does 309 divide 138547938?
False
Is 2390703688 a multiple of 3218?
True
Is 1526 a factor of 39697364?
True
Is 72901480 a multiple of 3140?
False
Is 3201 a factor of 473287056?
True
Is 49 a factor of 16085181?
True
Does 744 divide 315232056?
True
Is 243919914 a multiple of 190?
False
Is 245748722 a multiple of 9?
False
Is 631448714 a multiple of 86?
False
Is 4117358938 a multiple of 88?
False
Does 1614 divide 204547793?
False
Does 4 divide 78159876?
True
Is 87 a factor of 43500910?
False
Is 10 a factor of 644979237?
False
Does 184 divide 233374192?
True
Does 95 divide 11696116?
False
Does 92 divide 1441554057?
False
Is 277 a factor of 93123788?
False
Does 12 divide 83289300?
True
Is 596295762 a multiple of 702?
False
Is 13 a factor of 46290754?
False
Does 1205 divide 395903028?
False
Does 985 divide 6892987?
False
Does 9 divide 918689187?
False
Does 2028 divide 19841952?
True
Does 18 divide 20953433?
False
Is 1792496142 a multiple of 424?
False
Is 746 a factor of 153503674?
True
Is 634 a factor of 228441612?
True
Is 60681302 a multiple of 601?
False
Is 3151376 a multiple of 6?
False
Does 8 divide 78302306?
False
Is 2593131280 a multiple of 580?
True
Is 1395677755 a multiple of 56?
False
Is 7564039 a multiple of 277?
True
Is 45905235 a multiple of 285?
True
Does 55 divide 860701336?
False
Does 22 divide 28119806?
True
Is 26 a factor of 24773002?
False
Is 154424088 a multiple of 63?
True
Does 314 divide 11746112?
True
Does 2 divide 23734351?
False
Is 510 a factor of 625312555?
False
Is 537842200 a multiple of 159?
False
Is 1045497321 a multiple of 4509?
True
Is 34 a factor of 83415634?
True
Is 77769379 a multiple of 8?
False
Is 16 a factor of 4368206?
False
Is 123 a factor of 708190729?
False
Does 599 divide 134323953?
True
Does 16 divide 2692295216?
True
Does 66 divide 490963308?
True
Does 1695 divide 312463080?
True
Does 205 divide 12669791?
False
Does 101 divide 29867619?
True
Is 22791311 a multiple of 21?
False
Does 119 divide 4284067039?
False
Is 567696346 a multiple of 210?
False
Is 19930368 a multiple of 96?
True
Is 3443 a factor of 17572775?
False
Is 449738060 a multiple of 68?
True
Is 982 a factor of 3053437408?
False
Is 244 a factor of 1216584?
True
Does 314 divide 81035169?
False
Is 752 a factor of 44983888?
True
Does 484 divide 13721198?
False
Is 15966689 a multiple of 61?
True
Is 1583737568 a multiple of 56?
True
Is 95 a factor of 3790775500?
True
Does 69 divide 32237007?
True
Does 16 divide 81643442?
False
Is 121 a factor of 143262105?
False
Is 10 a factor of 4699800?
True
Is 885005966 a multiple of 54?
False
Is 415552473 a multiple of 2181?
True
Is 856443805 a multiple of 5663?
True
Does 8 divide 1273220?
False
Is 39284184 a multiple of 46?
True
Is 986989320 a multiple of 31?
False
Is 69607846 a multiple of 3586?
True
Does 1335 divide 176834100?
True
Does 275 divide 79063495?
False
Is 23 a factor of 1148388758?
True
Is 394617093 a multiple of 39?
True
Is 554317024 a multiple of 788?
True
Is 2390878199 a multiple of 2106?
False
Is 121 a factor of 51650475?
False
Does 822 divide 16971012?
True
Is 145723632 a multiple of 366?
True
Is 770 a factor of 17247230?
True
Does 179 divide 715399?
False
Is 2340871 a multiple of 1141?
False
Is 82 a factor of 183141424?
True
Is 705526612 a multiple of 14?
True
Does 369 divide 26987972?
False
Does 4041 divide 660335769?
True
Is 364998727 a multiple of 4132?
False
Is 3449433438 a multiple of 18986?
True
Is 245 a factor of 162496250?
True
Does 24 divide 1057877184?
True
Does 47 divide 63602374?
True
Is 110130713 a multiple of 23?
False
Does 1594 divide 4683691644?
True
Is 59774656 a multiple of 32?
True
Is 17643679 a multiple of 14?
False
Is 8500653 a multiple of 189?
True
Does 311 divide 46800635?
False
Is 39261580 a multiple of 1286?
True
Is 7498 a factor of 2300057417?
False
Does 40 divide 1331647760?
True
Is 3460 a factor of 47869100?
True
Is 107 a factor of 8827614?
False
Does 14 divide 206255772?
False
Is 130 a factor of 45340295?
False
Does 39 divide 207648636?
True
Is 2419336 a multiple of 5?
False
Does 308 divide 1474995984?
True
Is 24 a factor of 12564714?
False
Does 23 divide 2675314483?
True
Does 1714 divide 169158088?
True
Is 526309568 a multiple of 496?
True
Is 174525798 a multiple of 15?
False
Is 647424536 a multiple of 14?
False
Does 308 divide 915969702?
False
Does 161 divide 112890371?
False
Is 20 a factor of 37049240?
True
Does 6244 divide 367883992?
True
Is 180076442 a multiple of 926?
True
Does 217 divide 18974697?
True
Does 114 divide 437119351?
False
Is 9772098 a multiple of 505?
False
Is 982236654 a multiple of 133?
True
Is 657926044 a multiple of 5368?
False
Does 183 divide 24429635?
False
Does 619 divide 210416670?
True
Is 57299475 a multiple of 88?
False
Is 574062244 a multiple of 161?
True
Does 15 divide 965817881?
False
Does 459 divide 1447129692?
True
Is 561 a factor of 128045445?
True
Is 13 a factor of 20996859?
True
Does 355 divide 33712754?
False
Is 7 a factor of 7362880?
True
Does 36 divide 72702365?
False
Does 689 divide 240531470?
False
Does 895 divide 133325465?
True
Does 15 divide 7831485036?
False
Is 1420292080 a multiple of 4?
True
Is 23884563 a multiple of 2?
False
Is 447512 a multiple of 52?
True
Does 15 divide 1891943280?
True
Is 48 a factor of 220305264?
True
Is 170918645 a multiple of 149?
True
Is 18945159 a multiple of 297?
False
Does 1794 divide 2298492748?
False
Does 11212 divide 3867624248?
True
Does 59 divide 51813616?
False
Does 11 divide 49684965?
True
Does 373 divide 1139906907?
False
Does 51 divide 378236431?
False
Does 147 divide 592745247?
False
Does 10 divide 1671705110?
True
Is 35521316 a multiple of 142?
False
Does 96 divide 1421897984?
False
Does 1042 divide 774532?
False
Is 1954090580 a multiple of 2921?
True
Does 6296 divide 639906552?
True
Is 951557152 a multiple of 56?
True
Is 1563382585 a multiple of 18?
False
Is 547689940 a multiple of 10?
True
Is 4121 a factor of 329025447?
False
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
e -3*i - 692815*s = -692816*s - 10, -5*i - 3*s = -12 for i.
3
Solve 3*f - 1517 = -3*v + 1505 - 3046, 3*v - 2*f - 6 = 0 for v.
-2
Solve 2*j + 11 = -q + 5*j, -13 = q - 4*j for q.
-5
Solve 0 = -2179*c + 2176*c - 3*k + 174, -4*k - 4963 = 1043*c for c.
-5
Solve 0 = 4*t + 3*w - 14, t - 1702*w = -1707*w + 12 for t.
2
Solve n = -4*a - 44, -24 = -223*n + 219*n + 4*a for n.
-4
Solve -1360*g + 691*g + 162 = -678*g, -7*c - 4*g - 92 = -2*c for c.
-4
Solve -41*x + 39*x = 5*s, -5*x - 237 = -4*s + 6*s - 258 for s.
-2
Solve 2*y = 2*x + 26, 54 = -6*y - 163*x + 158*x for y.
1
Solve -8*j + 167 = -5*s, 7*j = 156*s - 155*s + 11*j + 11 for s.
-27
Solve t + 2*z + 0 + 3 = 0, 431 = -87*t - 169*z + 165*z for t.
-5
Solve -y - 7*y = -3*y + 100, 23*m + 3*y + 60 = 11*m + 7*m for m.
0
Solve 0*c = -c - 5*r + 74, -c - 146606*r + 146603*r = -46 for c.
4
Solve 151*j = 13*k + 154*j - 15, -j = -4*k + 20 for k.
3
Solve 14*s = -10 - 13 - 19, 12*q - 9*q + s = 39 for q.
14
Solve 4*r - 293 = -277*l, 48*r - 43*r - 23 = -3*l for l.
1
Solve -240680*b + 240677*b + 13 = 5*u, -23*b - 87 = u for u.
5
Solve -2*w + 99 = -2*q + 83, 8*w + 90 = 3*w - 5*q for w.
-5
Solve 637*r - 88 = 2*y + 634*r, -2*y + 53*r + 304 = 64*r for y.
-2
Solve -4*t + 5*t - 4*t + 123 - 39 = -33*u, 0 = -5*u + 5*t - 40 for u.
-2
Solve -73*h + 156 = -d, -3*h + 14*d - 1 = 20 - 58 - 109 for h.
2
Solve -5*f = 5*b + 40, -15*f + 0*f + 8*b = -10*f - 0*b + 14 for f.
-6
Solve 3*s = -o - 89, -5*o = 3*s - 980 + 540 + 537 for o.
-2
Solve -321 = -i - 53*f, 0 = 2*f - 329 + 317 for i.
3
Solve -108*q - d - 118 + 350 = -104*q - 0*d, 7*d - 826 = -14*q for q.
57
Solve -3*l + 3320*w = -0*l + 3309*w - 38, 0 = -3*w - 3 for l.
9
Solve 14 - 53 = -5*t + 5*d + 21, -4*d - 108 = 2*t + 5*d for t.
0
Solve -10*z = 3*y - 102, 5*z - 53 = -106279*y + 106277*y for z.
9
Solve 4*n + 5*o + 273 = 97, -149*o - 146*o + 291*o - 108 = -5*n for n.
-4
Solve 3*j = 2294*a - 2293*a - 2, 3*j - 14 = -a for a.
8
Solve u + u - 5*z = 104, -4*u + 3*z = 2517 - 2711 for u.
47
Solve 0 = -5*x + 4*p - 32, -14 = 1470*x - 1468*x - 2*p for x.
-4
Solve -2*u + 2 = -1511*z + 1512*z + 3, -2*z + 10 = 0 for u.
-3
Solve 13*i - 56 = 2*s + 21*i - 7*i, -4*i - 94 - 18 = 4*s for s.
-28
Solve 0 = -209*l + 107*l + 106*l + 5*q - 47, -2*l - 53*q + 175 = 0 for l.
8
Solve u - 149 = -4*l, -130*u - 139*u - 4*l + 134 = -271*u for u.
5
Solve 2*f = 5*v + 20, -179522*f + 179519*f - 7*v + 1 = 0 for f.
5
Solve 3*j - 4*m = -81 - 51 + 51 - 199, -24*m = -2*j - 1680 for j.
0
Solve -4*t + 7 + 21 = 0, -6*j - 6*t = -11*t + 6*t - 31 for j.
4
Solve -w - 5*p = -0*p - 88, -580 = -5*w - 7*p + 10*p for w.
113
Solve 2524*g - 1882 = 210*w + 2520*g, -2*w - 20 = g for w.
-9
Solve 5*c = -25*q - 405, -394*c - 3*q = -194*c - 198*c + 43 for c.
4
Solve 0 = 5*p + 25, 2*w + 562 = -6*p + 1117 - 613 for w.
-14
Solve -3*g = -4*d + 5, 13*d = 4*d + 6*d + 13*g - 8 + 1 for d.
2
Solve 5*s + 5*x = -230, -1945*x + 320 = -s - 5*s - 1940*x for s.
-50
Solve 177 = -37*l - 2*y, 4*y + 0*y + 0*y - 21 = -l - 10 for l.
-5
Solve -5*n - o = 50, 260*o = -5*n + 272*o + 405 for n.
-3
Solve 7*u - 11*u - 144 = 2*t, -4*t = u + 29 for u.
-37
Solve -321*q = j + 2*j - 324*q + 6, 3*j + 4*q + 27 = 0 for j.
-5
Solve -5*g - 4*j + 41 = 0, 53*g - 57*g + 86 = -3*j + 10*j for g.
-3
Solve y = 2, 414*r + 771*r - 1182*r = -12*y + 33 for r.
3
Solve 4 = t - a, 9639*t + 1 = 9635*t + a + 11 for t.
2
Solve -n - 3*p + 34 = 0, -n + 8*p - 11*p + 38 = 2*p + 2 for n.
31
Solve 4*g + 539 + 526 - 1563 = -2*b - 544, 5*g + 5*b = -60 for g.
-11
Solve -2*g + 34 = 4254*z - 4256*z, 4*z + 68 = 67*g for z.
-17
Solve 0 = 37*i - 78*i - 2*k - 2*k - 1779, -4*i - 3*k = 184 for i.
-43
Solve -44*z - 4*v + 965 = -7*v, 52*z - 109 = 47*z + v for z.
22
Solve -6*z = 5*g - 3, 534 = 2716*g - 2890*g + 4*z for g.
-3
Solve 40*z + 4*x = 45*z + 3*x + 11, -21 = 8*z - 5*x for z.
-2
Solve -23*x + 18*x + 2*h = 45, -3*x - 22*h - 5 = -27*h + 22 for x.
-9
Solve -76 = -3115610*f + 3115608*f + 3*v, -83 = 5*f + 3*v for f.
-1
Solve 3 = 3*z, -7*v - 5650*z + 35 = 10*v - 5649*z for v.
2
Solve -18*u = -18*j + 14*j + 498, 0 = 2*u + 54 for j.
3
Solve -2*a + 12 = 2*n, 1011*a - n - 11 - 67 = 319*a + 609 for a.
1
Solve 0 = x - 3*k + 3, 5*x - 2388*k + 27 = 2*x - 2385*k for x.
-12
Solve -4*x - 120 = 4*v, -623177 = -3*v + 5*x - 623283 for v.
-32
Solve b + 20 = l, 608 = -5*b + b + 66*l - 588 for b.
-2
Solve 21*x + 3 - 34 = -6*s - 22*x + 38*x, 6*s + 9 = 3*x for s.
1
Solve -4*z + 6 = -233*p + 229*p - 106, 4*z - 148 = -5*p for z.
32
Solve 34*k = -15*y + 72*k - 42*k - 57, -5*y - 2*k - 21 = 0 for y.
-3
Solve 2*s - 84 = 419*p - 417*p, 2*p + 60 = -4*s for s.
4
Solve o - 3*m = 7*o - 5*o + 15, 2*m = 2*o - 2 for o.
-3
Solve -4*c + 12*n = 8, -24*c + 30*c - 7 + 2 = 4*c - 3*n for c.
1
Solve 2*t + 301*q - 274 = -751 - 442, 2*q + 30 = -3*t for t.
-8
Solve -10581*k = -10580*k + 7*p + 51, 3*k = -4*p - 68 for k.
-16
Solve -17*m - 15096683 = h - 15096786, -7 = -2*m + 5*h for m.
6
Solve 0 = 13*p + 5*h - 65, -4*h + 52 = -41*p + 42*p for p.
0
Solve -4*z + 9*z - 35 = 3*j, 0 = -15*j - 37*z + 39*z - 152 for j.
-10
Solve -5*m = 0, -5*u - 15*m - 34*m - 18*m = 25 for u.
-5
Solve 4555358*i - 4555354*i = -x + 180, 4*i = 54*x - 40 for i.
44
Solve 572 - 488 = 4*j - 3*y + 7*y, 51 = 2*j + 5*y for j.
18
Solve 6*a - 64 - 20 = 4*a - 5*r, 156*r = 229*r - 64*r for a.
42
Solve 335 = 3*i + 178*d, -103*i + 2*d = -213*i + 107*i + 5*d - 27 for i.
-7
Solve i - 10*f - 17*f = -29*f + 47, -9*i + 20 - 5 = f for i.
-1
Solve w + 17*m - 21*m = 181, 4*m + 124 = 11*w + 9*w for w.
-3
Solve -5360*j + 5356*j - 175 = i, 4*i = -j - 55 for i.
-3
Solve 19*a = 3879*k - 3882*k - 126, -5*a + 49 = 5*k + 179 for k.
-23
Solve 9*w - 19 = -38*u - 216, -2*w = -u + 8 - 2 for u.
-4
Solve w + 25 = -2*v, 3*v - v = -119*w + 87*w - 800 for v.
0
Solve 11*d + 2*w = 15, -7365*w + 7361*w + 11 = 3*d for d.
1
Solve 5*v + 60 = -5*g, 1406*g - 1409*g - v - 28 = 0 for g.
-8
Solve 81*p + 84*p + 83*p = 247*p + 4, -4*k + 5*p = 16 for k.
1
Solve -20*n + d = -53, 23*d = -4*n + 21*d + 26 for n.
3
Solve -6136253*w + 6136256*w + 54 = -4*k, 0 = -4*w - 56 for k.
-3
Solve -6 = -2*a - 4*l, 4*a - 3*l + 14 = 26 for a.
3
Solve 3*h = y + 4, 4*y - 1310*h + 22 = -1292*h for y.
-1
Solve -5*n - 4928 + 4973 = 5*j, 3*j + 17 = n for n.
11
Solve 3*a + 69 - 106 = 10*m, -5*a - 23 = -2*a + 5*m for a.
-1
Solve 82 = -3*p - 5*g - 31 - 27, -156 = 3*p - 3*g for p.
-50
Solve -10*y + 71*v = 4*y + 73*v + 600, -5*y = -8*v + 223 for y.
-43
Solve 2 = -4*n + 5*a, 0 = -n - 5*a - 5*a - 14*a + 34 + 16 for n.
2
Solve -9*f + 191783*o = 191779*o - 90 + 26, o + 16 = 2*f for f.
0
Solve i - 254*g + 256*g + 11 = -0*i, 5*g + 20 = -i for i.
-5
Solve 3*i = 21*n - 23*n + i - 28, 9*i + 126 = 3*n - 5*n for n.
0
Solve f + 6839*y = 6840*y - 3, -9 = 3*f + y for f.
-3
Solve 4*b + 3*n = 29, 306*b + 80*n = 303*b - 80*n + 1126 for b.
2
Solve -7*f - 15 = -4*f + g + 6, 23*g = -5*f - 163 for f.
-5
Solve -5*u + 4*s = -449 + 677, 5*s - 354 = -11*u for u.
4
Solve d + d - 5*n = -48, 29*n + 30 = -54*d + 26*n + 114 for d.
1
Solve 24*j = 2*g + 382, 2*j - j - 5*g - 109 + 98 = 0 for j.
16
Solve 2*d - 4*o - 16 = 0, -5*d - 2893502 = o - 2893520 for d.
4
Solve 3*l + 1990 = 2017, -2*d + 2*l - 25 = -l for d.
1
Solve -1688*q - 361 = 26*a - 1689*q, -a - 5*q - 29 = 0 for a.
-14
Solve 5223527*s - 4*o + 45 = 5223528*s, 0 = 2*s - 5*o - 38 for s.
29
Solve 5*t - 9*t - 503 + 482 = -h, -24*h + 204 = 4*t for t.
-3
Solve 19*i - 2*i - 13*i = -4*m + 16, 5*m = 215*i + 460 for m.
6
Solve g = 210*x - 5669, -5*x = -19981*g + 19978*g - 132 for x.
27
Solve 369 = q + 5*z + 386, 0 = -49*q + 5*z - 83 for q.
-2
Solve -98 = -4*l + 5*a, -62*a + 47*a - 342 = 4*l for l.
-3
Solve -4*j = -2*j - 3*a - 6*a + 21, -48*a + 46*a + 6 - 4 = 0 for j.
-6
Solve -5*m + 0 = -z + 6 - 13 - 19, -1054*m - 12 = -1048*m for z.
-36
Solve 53 = 3*w - 2*i, 7407*w - 32 = 7412*w + 3*i for w.
5
Solve 3*g = -539223*v + 539221*v + 76, -41 = 2*g + 7*v - 273 for g.
4
Solve -7*z = -4*g + 4, 0 = -2*z + 4412*g - 4417*g - 38 for z.
-4
Solve 1 = 2*f - g, -f + 3*g = 92139 - 92147 for f.
-1
Solve -4*n - 92 = 6*s, 25 - 9 = -2*s - 13*n + 8*n for s.
-18
Solve 232*t - 52 = 234*t - 2*s, 0 = -s + 27 for t.
1
Solve 3*c - c - 3*j - 40 = 165, 446*j - 447*j = 67 for c.
2
Solve -3*k - 22 = -9*p + 20*p, -5*p + 7*p + 0 = 3*k - 4 for p.
-2
Solve -5*d - 4*u + 19 = -5*u - 26,
|
{
"pile_set_name": "DM Mathematics"
}
|
e factors of q(3)?
1367
Suppose -n + 6*n + 3*d = 37, -n - 4*d = -21. List the prime factors of ((-2)/4)/(n/(-110)).
11
Suppose 5*n - 3831 + 791 = 0. Let p = 862 - n. What are the prime factors of p?
2, 127
Let s(l) = -l**3 - 2*l**2 + 2*l - 4. Let k(h) = -13 - 9*h**2 - h**3 + 44*h - 1 - 35*h. Let q be k(-10). What are the prime factors of s(q)?
2, 5
Let w be 19/38 + 2094/4. Suppose 2*l = 6*l - w. What are the prime factors of l?
131
Suppose -z = 3*r - 771, -14 = -3*r - 5. What are the prime factors of z?
2, 3, 127
Let l(s) be the second derivative of -s**5/20 + s**4/2 - 7*s**3/6 + 5*s**2/2 - 21*s. Suppose 2*n - 3*n = -4. What are the prime factors of l(n)?
3
Suppose -11*b + 180 = -9*b. Let m = b - 51. List the prime factors of m.
3, 13
Let k(o) be the third derivative of 0 - 3/2*o**3 + 1/8*o**4 + 0*o - 2*o**2. List the prime factors of k(10).
3, 7
Let q = 1869 - 1352. List the prime factors of q.
11, 47
Suppose -258 = 2*y + 334. Let h = -128 - y. List the prime factors of h.
2, 3, 7
Let a be (120/50 + -4)*(-20)/8. Let n(d) = -4*d**2 - 6*d + 3*d**2 + 3*d**2 + 1. What are the prime factors of n(a)?
3
Suppose -15*k + 16*k - 2556 = -4*h, -4*k + 4*h + 10184 = 0. List the prime factors of k.
2, 7, 13
Let p = -5313 + 9041. What are the prime factors of p?
2, 233
Let f be (1 + 1)/(4/6). Let b(t) = t**3 - 4*t**2 + 9*t - 14. Let u be b(3). Suppose -u*p - 44 = -f*h + 6, 4*p = h - 30. What are the prime factors of h?
2, 5
What are the prime factors of 1003 - 0 - (-90 - -86)?
19, 53
Let w = -84 + 85. List the prime factors of 72/24 + 2*w*74.
151
Suppose -37685 = -11*h - 4630. What are the prime factors of h?
5, 601
Let r = -15 + 22. Let x = 25 - r. List the prime factors of (-4)/x - (-101)/9.
11
Suppose -5*z = -3*c - 8472, 2 = -2*c + 4*c. List the prime factors of z.
3, 5, 113
Let f(l) = 2*l**2 - 2*l + 1. Let d be f(2). Suppose d*p - 3*t = -t + 19, 3*t = 2*p - 12. Suppose -7*o + 172 = -p*o. What are the prime factors of o?
43
Let k(s) = 863*s - 65. List the prime factors of k(1).
2, 3, 7, 19
Suppose l + 8087 = 4*l - 2*y, -5*l + 13485 = -2*y. List the prime factors of l.
2699
Suppose -5*b + 5 - 20 = 0. Let f be b + (-6)/(-2) + 12. Let l(i) = i + 17. What are the prime factors of l(f)?
29
Suppose -4*q + 667 = 4*d + 111, 2*d - 296 = 4*q. List the prime factors of d.
2, 71
Let b = 2 - 0. Suppose -10 = -3*w - b*w. Suppose 4*d + x = w*x + 87, -108 = -5*d + x. List the prime factors of d.
3, 7
Let h(p) = 2*p**2 + 4*p - 2. Let b be h(-4). Let s = 16 - b. What are the prime factors of ((-92)/(-2) - s) + 2?
2, 23
Let c(g) = g**2 - 93. List the prime factors of c(-42).
3, 557
Suppose 3*a = 2*h - 29, 2*h + 11 = -5*a - 0*a. Suppose h*s - 78 = 4*s. What are the prime factors of s?
2, 13
Suppose 4*k - 4460 = -17*u + 13*u, -k + 2 = 0. List the prime factors of u.
3, 7, 53
Let c be 298 + 5/((-5)/(-4)) + 2. What are the prime factors of (c/(-95))/((-1)/5)?
2
Let q = -1451 - -3147. List the prime factors of q.
2, 53
Let v be (166 - -11) + (-8)/(-2). Suppose 5*w = 3*u + 403, -54 - v = -3*w - 5*u. What are the prime factors of w?
2, 5
Let g(d) = 37*d**2 - d - 30. List the prime factors of g(5).
2, 5, 89
Suppose -4*w + 2505 = 2*j - 389, w + 5*j = 719. What are the prime factors of w?
2, 181
Let o(u) = 16*u**2 + 10*u + 32. Let c be o(-6). Suppose -x - b = 2*x - 413, 4*x - c = -4*b. List the prime factors of x.
2, 3, 23
Let v(d) = -294*d - 340. What are the prime factors of v(-14)?
2, 59
Let b(h) = -h**2 - 28*h - 36. List the prime factors of b(-15).
3, 53
Suppose 4*p - 2*d + 6*d = 56, -p = -5*d - 8. Suppose 2*u = -u + 3*s - 6, -4*s = u - p. Let z(h) = 6*h - 2. What are the prime factors of z(u)?
2
Let b(f) = 2*f**2 + 30*f + 21. What are the prime factors of b(-18)?
3, 43
Let y = 1451 + -495. What are the prime factors of y?
2, 239
Let d(v) be the third derivative of v**6/120 - v**5/60 + v**4/24 - v**3/3 + 2*v**2. List the prime factors of d(3).
19
Let b = 514 - 958. Let n be ((-3)/(-6))/((-3)/b). Let a = n - 31. What are the prime factors of a?
43
Suppose 22*x - 10750 = -3*x. What are the prime factors of x?
2, 5, 43
Suppose -2*w = -12*w + 16000. Suppose 883 = 13*u - w. List the prime factors of u.
191
Suppose 7 = 4*f + f + 2*a, 0 = -5*a - 20. Let x = 2 - -8. Suppose x = 2*y + f*y. What are the prime factors of y?
2
Suppose -2*w - 2534 = -3*n, -5*n = -6*n - 5*w + 822. What are the prime factors of n?
2, 421
Let b(j) = 9*j**2 + 2*j - 7. Let q be b(-4). Suppose -2*k - k = -l - 35, 3*k + q = -3*l. Let d = l - -74. What are the prime factors of d?
3, 11
Suppose 3*u - 1 = 5. Suppose 0 = v + 3 - 2, v + 243 = u*c. List the prime factors of c.
11
Let f(z) = -1 + 5*z + z + 0*z. Let t = 1 - 0. List the prime factors of f(t).
5
Let f = -2059 - -4810. What are the prime factors of f?
3, 7, 131
Let o(w) = w. Let r(g) = 7. Let y(x) = 2*o(x) - r(x). What are the prime factors of y(6)?
5
Suppose -p = 2*y - 158, -608 = -4*p - 4*y + 2*y. What are the prime factors of p?
2, 3, 5
Let b = 786 + -481. What are the prime factors of b?
5, 61
Suppose -2*i + 4*i = 0. Suppose i = -3*h + 6 - 3. Let r(y) = 4*y**2 - y. List the prime factors of r(h).
3
What are the prime factors of 10794/33 + (-3)/33?
3, 109
Let q(m) = -3*m**2 - 24*m + 2*m**2 + 18*m - 2. Let h be q(-9). Let b = -9 - h. List the prime factors of b.
2, 5
Suppose 384 = -12*f + 324. Let v = -4 - -9. What are the prime factors of (-5)/(v/2) - f?
3
Suppose 2*t + 3 = -b + 4, -3*b - 9 = 0. Suppose -t*i = -0*i - 60. Let p = i - 21. What are the prime factors of p?
3
Let p = 1438 - 738. List the prime factors of p.
2, 5, 7
Let j(p) = -p**3 - 37*p**2 - 9*p - 79. List the prime factors of j(-37).
2, 127
Let v(w) = -w**3 + 4*w**2 - 5*w + 6. Let l be v(3). Suppose g + 153 = 4*g. Suppose 3*o + l*o = g. What are the prime factors of o?
17
Let t = 1720 - 1061. What are the prime factors of t?
659
Suppose 10 = 2*g, 4*a - 3*g + 1 = 2. Suppose 19 = a*d - 109. List the prime factors of d.
2
Let a(g) be the third derivative of -13*g**4/24 + 16*g**2. What are the prime factors of a(-2)?
2, 13
Suppose 0 = -o - h + 3, -5*o = -h - 21. Let r be ((-6)/(-9) + (-8)/12)/(-5). Let d = r + o. What are the prime factors of d?
2
Let k(n) = 145*n + 608. What are the prime factors of k(8)?
2, 13, 17
Suppose -37*q - 105 = -42*q. Let x = 155 - q. What are the prime factors of x?
2, 67
List the prime factors of (-2422)/7*(1/(-2) + 0).
173
Let r be 6*(-2 + 45/6). Let i be 3 - -46*(-9)/(-6). Suppose -r = -3*n - 0*n - a, i = 5*n - 4*a. List the prime factors of n.
2, 3
Let a = 196 + -119. Let o = -18 - -55. Suppose 2*t + o + a = 4*w, 2*t - 42 = -2*w. What are the prime factors of w?
2, 13
Suppose 0 = 2*y - y + 2*u - 287, 3*y - 3*u - 843 = 0. List the prime factors of y.
283
Let x(k) = -k**3 - 6*k**2 + 4*k + 8. Let o be x(-6). Let b = o - -5. List the prime factors of (-8 - b)*74/6.
37
Suppose -5*s = 4*f - 2808, 4*f - 5*f - 1131 = -2*s. List the prime factors of s.
2, 3, 47
Suppose -2*g = 3*x - 820, 0 = -g - 6*x + 3*x + 410. What are the prime factors of g?
2, 5, 41
Let a = 2737 + -1634. What are the prime factors of a?
1103
Suppose 2*d + 51 = -d. Let n = -13 - d. Suppose -4*s + 3*y + 151 = -2*y, -4 = -n*y. List the prime factors of s.
3, 13
Suppose 8*a = -1474 + 5586. List the prime factors of a.
2, 257
Suppose 6239 = 15*r - 3601. List the prime factors of r.
2, 41
Let d(o) = -13*o + 6. Suppose -15 = 5*m + 3*f - 5*f, 0 = -5*m + 5*f - 15. What are the prime factors of d(m)?
3, 5
Let o = -98 + 225. Let g = -91 + o. What are the prime factors of g?
2, 3
Let w(t) = 279*t**2 - 3*t. What are the prime factors of w(1)?
2, 3, 23
Suppose 5*h - 175 - 365 = 0. Let m = h + -36. What are the prime factors of m?
2, 3
Let x(q) = q**3 - 8*q**2 + 18. Let w be x(8). What are the prime factors of (81/(-2))/((-9)/w)?
3
Suppose -3*l + 1 + 8 = 0. Suppose 0 = -3*x - y - 3 - 6, x + l*y + 3 = 0. What are the prime factors of (-161)/x - 5/(-15)?
2, 3
Let r(w) = -w**2 - 10*w - 11. Let k be r(-6). Suppose -k = -c - 0*c. Suppose -8*g = -c*g + 150. List the prime factors of g.
2, 3, 5
Suppose -2*l - 2*f = -3248, 270 = -5*l + 2*f + 8362. What are the prime factors of l?
2, 3, 5
Let v(l) = 65 - 30 - 35*l - 34. List the prime factors of v(-2).
71
Let r = -540 - -1506. What are the prime factors of r?
2, 3, 7, 23
|
{
"pile_set_name": "DM Mathematics"
}
|
t value? (a) 0.4 (b) 53 (c) -4 (d) -3
d
Which is the second smallest value? (a) 0.5 (b) 171843 (c) 2/7
a
Which is the biggest value? (a) -4 (b) -15 (c) -41 (d) 4/5
d
Which is the sixth biggest value? (a) 29.1 (b) 3/4 (c) 0.5 (d) -6 (e) 1.8 (f) -1/6
d
What is the biggest value in 91, 1/111, 4?
91
What is the third smallest value in -3, 1/7, -259, -220, 5/4?
-3
What is the third biggest value in -1253, 5, 1?
-1253
What is the smallest value in 6.7, -6.4, 9?
-6.4
What is the third smallest value in 646, -1, -10, 1/3, 5?
1/3
Which is the smallest value? (a) -0.09 (b) -1.1 (c) -4 (d) 4.06
c
What is the fourth biggest value in 0.0267, -3, -7, -6?
-7
Which is the fifth biggest value? (a) -0.2 (b) -119/3 (c) 0.2 (d) -0.1 (e) 4
b
Which is the biggest value? (a) 2.2 (b) -0.2 (c) 0.2 (d) -110/7
a
Which is the smallest value? (a) 916 (b) -0.36 (c) -15
c
Which is the second biggest value? (a) 2/23 (b) 1/4 (c) 3/2 (d) -2/21 (e) -0.5 (f) 8
c
Which is the fifth biggest value? (a) 0.4 (b) -2/9 (c) -0.9 (d) -12 (e) -1
d
Which is the sixth biggest value? (a) -51 (b) 1/5 (c) 1 (d) -8 (e) -5 (f) -3
a
What is the second biggest value in -1258, -41, -1?
-41
Which is the fourth smallest value? (a) -1 (b) 0.3 (c) 1/6 (d) -69 (e) -88
c
What is the fourth smallest value in -5, 19, -0.1, 0.1, 0.5?
0.5
What is the third biggest value in 1.8, -1/5, 8, -17, 0.1?
0.1
What is the third biggest value in -5, 180, 138?
-5
Which is the third smallest value? (a) -2017 (b) 3 (c) -2 (d) 0.3 (e) 4
d
Which is the fifth biggest value? (a) -3 (b) 3 (c) 0.09 (d) -0.97 (e) -1
a
Which is the smallest value? (a) 0.4 (b) -0.8152 (c) 18/7
b
Which is the third biggest value? (a) 39 (b) -3/2 (c) -4 (d) 5 (e) 0.1
e
What is the fifth biggest value in -53, 143, -0.5, -0.2, 2/21?
-53
Which is the fourth smallest value? (a) -4/3 (b) 22/15 (c) 2/9 (d) 5
d
What is the second smallest value in 2, 9/5, 0, -0.2, 2/13, 4/7?
0
What is the fifth smallest value in 1, -1/2, 3/26, 6, 0.1, -2/39?
1
Which is the second smallest value? (a) 1037.7 (b) 0.2 (c) 31 (d) 2
d
Which is the smallest value? (a) 3 (b) 1/6 (c) 1 (d) -1/4 (e) 0.1 (f) -359
f
What is the fifth biggest value in -0.5, -3/7, 0.2, 2, -1/21, -1/4?
-3/7
What is the third smallest value in 5, 0.1, 66, 48, 0.2?
5
What is the third smallest value in -0.039, -2, -4, 0.4, -5?
-2
Which is the third smallest value? (a) -5 (b) -2 (c) -131447 (d) 0.3 (e) 2
b
What is the biggest value in -4/3, 63, -2/9, 1/4?
63
Which is the third biggest value? (a) -13 (b) 0.78 (c) 4 (d) 0.2
d
Which is the second biggest value? (a) 346 (b) -0.3 (c) 1 (d) 0.5
c
What is the biggest value in -0.2, -1821/4, 5?
5
What is the fourth biggest value in -2, -3, 1/2539, -1?
-3
Which is the sixth smallest value? (a) 3/5 (b) 17 (c) 2/49 (d) -2 (e) -3 (f) 16
b
Which is the fourth biggest value? (a) 4/5 (b) -9/2 (c) -9 (d) 493 (e) 0.7
b
Which is the third biggest value? (a) -1/2 (b) 0.01 (c) 730
a
Which is the third biggest value? (a) 5 (b) -0.0026 (c) -1 (d) -1/6
d
Which is the third smallest value? (a) -0.07 (b) 2/3 (c) -4 (d) -0.2 (e) -2/7 (f) 228
d
What is the sixth smallest value in 43, 0.3, -2/15, 8, 1, 5?
43
Which is the smallest value? (a) 0.2 (b) -4 (c) 1/120
b
Which is the third smallest value? (a) -0.4 (b) -6/11 (c) -105 (d) 3 (e) 6 (f) -0.2
a
Which is the third biggest value? (a) -2 (b) -3 (c) 5/4 (d) -663 (e) -10
b
Which is the second smallest value? (a) 5 (b) -1042 (c) -0.7
c
What is the second biggest value in 10, 10.2, -5, -2/7, 0.071?
10
Which is the smallest value? (a) -3 (b) 0.4 (c) 2640363
a
What is the biggest value in -56, 0, -4, -3, -0.08, 2/9?
2/9
What is the third biggest value in -1/3, -15.9, -10, 6?
-10
What is the fifth smallest value in 1, -0.07, 1/25, 2/7, 5?
5
Which is the third smallest value? (a) 1/9 (b) -0.167 (c) 0.2 (d) -5 (e) -4 (f) -3.6
f
What is the second biggest value in -0.5, 4, 96, 4/3, -1/6?
4
What is the third smallest value in 0.4, -32, 209?
209
What is the second biggest value in -0.23, 5/2, -57/22?
-0.23
What is the biggest value in 311, 0, 3, -3?
311
What is the biggest value in 0.5, 0.3, 6, 56, 0.4?
56
Which is the biggest value? (a) 116/11 (b) 0.05 (c) -3
a
What is the second smallest value in 3/4, -0.1, 1/2, -3/7, 0.72, -1/2?
-3/7
Which is the third biggest value? (a) -0.5 (b) 3/9988 (c) -4/5
c
Which is the second biggest value? (a) 4 (b) 930 (c) 0.184
a
What is the second biggest value in 1/17, -2/3, -2, -5/2?
-2/3
What is the fifth biggest value in 0.4, -0.1, -5, 89, -0.2, 0.06?
-0.2
What is the fourth biggest value in -136, 3/5, 2, -2/9, -5, -4?
-4
What is the fourth smallest value in 4, -2/5, 2/23, 3?
4
What is the third biggest value in 1/6, -10, 83, 0.5, -3/19?
1/6
What is the fourth biggest value in 0.04, 748, 7, -0.03?
-0.03
What is the fourth biggest value in -6/11, 1/2, 19.387, -2?
-2
What is the biggest value in -1, 5, 126304?
126304
What is the fourth biggest value in -5, -0.06, 0.1, -1, -9/5, -0.2?
-1
Which is the smallest value? (a) -0.5 (b) -2 (c) -1/5633 (d) 1
b
What is the second smallest value in 61/5, 0, 3/8, -0.13, 2/9?
0
Which is the sixth biggest value? (a) -2/55 (b) 2 (c) 1/5 (d) -0.3 (e) -6 (f) 3/10
e
Which is the fifth smallest value? (a) 3 (b) 0 (c) 6/1031 (d) -2/11 (e) 24
e
What is the biggest value in 2, -20/9, -0.582?
2
Which is the biggest value? (a) 0.5 (b) -5 (c) 875
c
What is the fifth biggest value in 2, -0.08, -0.07, -0.3, -7/3, 1?
-0.3
Which is the fourth smallest value? (a) -2 (b) -5 (c) 0.1 (d) -1/55 (e) 2/7
c
What is the fifth smallest value in -3/5, -2/15, 2, -2, -0.44?
2
Which is the third biggest value? (a) 0.1 (b) 586 (c) 5 (d) 26
c
What is the second smallest value in 1/5, -5, -1/40, 0.01?
-1/40
What is the second biggest value in 0.27, 0.391, -4?
0.27
Which is the third smallest value? (a) -117/103 (b) -1/8 (c) -2.2
b
What is the fifth biggest value in -2, -20, -3, 5, 0.1, 281?
-3
What is the fifth smallest value in 1, -2/3, -20, 26, 5?
26
Which is the fourth smallest value? (a) 0.12 (b) 1/103 (c) -1/4 (d) 1 (e) 0 (f) -30
b
Which is the biggest value? (a) 0.3 (b) -5/4 (c) -4/3 (d) 0.5 (e) -6 (f) 0.109
d
What is the second smallest value in -5, -0.5, -576, -17/3?
-17/3
Which is the second biggest value? (a) -1/4 (b) -6 (c) -8 (d) 5
a
Which is the third smallest value? (a) 14 (b) 1/8 (c) -2 (d) -71/12
b
Which is the second biggest value? (a) -0.3 (b) 2.3 (c) -19 (d) 33
b
Which is the third smallest value? (a) -27.3 (b) -5 (c) -1.65
c
Which is the third smallest value? (a) 3 (b) 0.15 (c) -6 (d) 3/13 (e) -8
b
Which is the third smallest value? (a) -14 (b) -658/9 (c) 4 (d) 1/5 (e) 1
d
Which is the third smallest value? (a) -178 (b) 2/13 (c) -4 (d) -0.035
d
What is the fifth biggest value in -4/3, -145, 3, 0, -0.3, -2/13?
-4/3
What is the third biggest value in 518787, 0.3, -2/21?
-2/21
Which is the smallest value? (a) -0.3 (b) 3 (c) 2 (d) 3/7 (e) 33
a
What is the smallest value in 6/7, -380, 41?
-380
What is the third biggest value in -15, 14, 4, -4, -41/2?
-4
Which is the third biggest value? (a) -0.1 (b) -149938 (c) -1
b
What is the biggest value in -10.1, -1.15, 1/2, -4?
1/2
What is the smallest value in -0.2, -1/13, -1/3, -8/5, -2/7?
-8/5
What is the second biggest value in -2, 0.02, -3633?
-2
What is the fourth smallest value in 0.2, 8, -671, 5, -2/3?
5
Which is the smallest value? (a) 48 (b) -4/21 (c) 10 (d) 1.7
b
Which is the fifth biggest value? (a) 2/19 (b) -83 (c) 20 (d) 0.5 (e) -3/4
b
What is the fourth smallest value in -3.4, 0.4, 2, -0.3, -1/429?
0.4
What is the biggest value in -2, -30, -14775?
-2
What is the second biggest value in 32, 1, -14/3, -2/9?
1
What is the second smallest value in -0.3, 23, -4/11, 655?
-0.3
Which is the second smallest value? (a) 2/3 (b) -4/3 (c) 0 (d) 7 (e) -1.8 (f) 24
b
What is the fifth smallest value in 1/2, 1, -0.07, 0.1, -4/25, 2/3?
2/3
What is the fourth smallest value in 0.02, -0.1, -207, -1?
0.02
What is the second smallest value in 41/3, -300, 1?
1
What is the biggest value in 4, 2168.26, -0.5?
216
|
{
"pile_set_name": "DM Mathematics"
}
|
(j))?
-392*j**2 + 3735
Let o(y) = -277*y. Let z(q) = -1035030*q**2. Give o(z(v)).
286703310*v**2
Let q(o) = -726*o**2. Let l(p) = -3*p - 80. Let m(n) = -n - 32. Let c(s) = -4*l(s) + 10*m(s). Determine q(c(v)).
-2904*v**2
Suppose -9 = -6*j + 9. Let r(k) = k**3 - k**2 - 3*k + 6. Let a be r(2). Let z(o) = j*o - o - a*o. Let s(f) = -77*f**2. Calculate z(s(m)).
154*m**2
Let z(c) = -2*c**2 + 33*c - 511. Let k(d) = -3*d - 5. Calculate z(k(p)).
-18*p**2 - 159*p - 726
Let c(v) = 5*v - 3. Let j(x) = -19*x + 11. Let b(y) = 22*c(y) + 6*j(y). Let o(n) = 11*n - 17*n + 30721*n**2 - 30724*n**2 + 8*n. Give o(b(m)).
-48*m**2 - 8*m
Let c(m) = -m**2 + m. Let o(w) be the third derivative of 0 + 0*w**3 + 0*w**4 - 1/30*w**5 + 0*w - 265*w**2. Calculate c(o(j)).
-4*j**4 - 2*j**2
Let c(o) = 5*o. Let q(h) = -4*h**2 - 3*h. Let t(y) = -5*y**2 - 4*y. Let s(m) = 3*q(m) - 2*t(m). Let l be s(0). Let z(n) = l*n - n + n + 4*n. Determine c(z(f)).
20*f
Let p(l) be the second derivative of 35*l - 1/6*l**3 + 0 + 0*l**2. Let m(u) = 79*u. Determine p(m(j)).
-79*j
Let g(b) = -15*b. Let h(d) = 4*d + 113088. What is g(h(j))?
-60*j - 1696320
Let p(c) = -5*c. Let f(v) = -59*v**2 - 21*v - 5. Let l(y) = -47*y**2 - 21*y - 4. Let b(g) = 4*f(g) - 5*l(g). Give b(p(j)).
-25*j**2 - 105*j
Let y(m) = -8*m**2. Suppose -2*g = -0*g - 3*h - 35, 30 = 2*g - 4*h. Suppose -24*q + g*q = 0. Let k(v) = 5*v + 3 - 3 + q. Calculate y(k(z)).
-200*z**2
Let n(z) = 438*z. Let u(i) = -3*i + 52929. Calculate u(n(d)).
-1314*d + 52929
Let h(w) be the second derivative of w**5/60 - 125*w**2/2 - 105*w. Let z(y) be the first derivative of h(y). Let i(c) = 80*c**2. Give z(i(j)).
6400*j**4
Let d(y) = 13*y**2 + 32*y. Let s(j) = -13*j**2 - 48*j - 1. Let o(t) = -3*d(t) - 2*s(t). Let x(z) = -4*z**2. Give x(o(c)).
-676*c**4 + 208*c**2 - 16
Let h(q) = -7*q**2. Let t(l) = l + 5. Let j be t(-7). Let f(a) = -a + 2. Let m(o) = -2*o + 5. Let k(r) = j*m(r) + 5*f(r). What is k(h(w))?
7*w**2
Let p(u) = u**2 + 4*u + 121. Let x be p(0). Let t(o) = -118*o + 250*o - x*o. Let h(a) = 5*a**2. Calculate t(h(i)).
55*i**2
Let o(g) = 276*g + 6. Let l(r) = 210863*r + 4587. Let t be ((-12)/9)/(-1)*3/2. Let p(j) = t*l(j) - 1529*o(j). Let d(i) = -3*i**2. What is d(p(v))?
-231852*v**2
Let m(w) be the third derivative of 0*w**3 + 3/8*w**4 + 0*w - 2*w**2 + 0. Let d(x) = 16*x. Let f(c) = -3*c. Let j(h) = 4*d(h) + 22*f(h). Calculate m(j(r)).
-18*r
Let o(r) = -13851*r**2. Let l(z) = 29*z**2. What is l(o(s))?
5563655829*s**4
Let b(q) = 3*q**2. Let p(k) = k**2 - 261*k + 1533. Let m be p(6). Let u(x) be the second derivative of 0*x**2 + 17/12*x**4 + 0*x**m + 0 + 39*x. Give u(b(h)).
153*h**4
Let f(w) = 147*w - 1. Let b(g) = -2*g**2 + 1913*g + 2. Calculate f(b(v)).
-294*v**2 + 281211*v + 293
Let y(i) = 777*i + 2. Let l(p) = -73*p + 9. Calculate l(y(g)).
-56721*g - 137
Let g be 20/(-30)*(-9)/(-12)*-6. Let b(c) be the first derivative of -7 + 0*c - 2/3*c**g + 0*c**2. Let w(l) = 4*l. Give w(b(y)).
-8*y**2
Let a(r) = 0*r**2 + 5*r**2 + 4*r**2. Let b(m) = -19*m**2 - 6*m - 12. Let u(s) = -55*s**2 - 17*s - 34. Let h(w) = -17*b(w) + 6*u(w). Calculate a(h(v)).
441*v**4
Let r(d) = 8*d + 187. Let v be r(-9). Let b(g) = -45*g + v*g - 32*g - 24*g. Let h(z) = -9*z. Calculate h(b(i)).
-126*i
Let b(m) = 13*m + 48. Let t(s) = -25*s - 110. Let q(g) = 7*b(g) + 3*t(g). Let k(v) = 2*v. Give k(q(z)).
32*z + 12
Let f(v) = -95*v - 1 + 1. Let i(d) = 489*d**2 - d - 2. Let q(z) = 2935*z**2 - 6*z - 12. Let n(t) = -6*i(t) + q(t). Calculate f(n(r)).
-95*r**2
Let v(m) = -2*m. Let b(g) = -14842*g + 111. Let s(c) = -1649*c + 13. Let z(f) = -3*b(f) + 26*s(f). Determine v(z(k)).
-3304*k - 10
Let f(a) = 3*a. Let y(z) = -z + 5. Let l be y(1). Let d(u) = -6603 + l*u + 6603. Give f(d(q)).
12*q
Let u(k) = 4*k**2 - 24. Let y(p) = 28437*p. What is u(y(j))?
3234651876*j**2 - 24
Let u(b) be the third derivative of -b**4/24 + 2*b**3/3 + 7*b**2. Let d(c) = -4*c + 18. Let n(y) = 4*d(y) - 18*u(y). Let t(z) = 151*z**2. Give n(t(m)).
302*m**2
Let u(n) be the first derivative of -309*n**2 + 1915. Let a(m) = -m**2. Determine a(u(z)).
-381924*z**2
Let c(d) = 1519376 - 547*d - 1519376. Let a(k) = k**2. Determine a(c(s)).
299209*s**2
Let b(n) = -8*n + 147. Let x(y) be the first derivative of y**2/2 + 1248. Determine b(x(z)).
-8*z + 147
Let l(x) = -3*x. Let s(d) be the third derivative of 13*d**4/6 + d**3/6 - 3*d**2 - 80*d. Calculate l(s(j)).
-156*j - 3
Let b(y) = 3589875*y**2 - y + 5. Let s(o) = 2*o. Give s(b(r)).
7179750*r**2 - 2*r + 10
Let u(a) = -2*a**2. Let o(q) = 12616775*q + 6. Calculate o(u(x)).
-25233550*x**2 + 6
Let a(g) = -11*g + 64. Let l(r) = 624*r. Give l(a(o)).
-6864*o + 39936
Let o(c) = -18*c**2. Let m(s) be the first derivative of 0*s**2 - 26*s + 1/12*s**4 - 4 + 0*s**3. Let u(t) be the first derivative of m(t). Calculate u(o(g)).
324*g**4
Let k(g) be the second derivative of g**5/15 + g**4/3 - 10*g**3 + 16*g. Let w(m) be the second derivative of k(m). Let j(u) = -2*u. Calculate j(w(b)).
-16*b - 16
Let a be ((-3)/((-18)/10))/((-60)/(-72)). Let g(x) = -8*x**2 + 2*x**a - 25*x**2. Let q(y) be the third derivative of -y**5/60 - y**2. What is g(q(r))?
-31*r**4
Let n(i) = 2*i**2. Let t = -256 - -375. Let m(o) = -119 - 57*o - 38*o + t. Give m(n(g)).
-190*g**2
Let u(y) be the first derivative of 13*y**4/12 - 35*y - 26. Let n(h) be the first derivative of u(h). Let j(r) = -4*r. Give n(j(m)).
208*m**2
Let g(o) = -7*o. Let d(l) = 5762660*l**2 + 2*l - 5. Calculate d(g(u)).
282370340*u**2 - 14*u - 5
Let n(z) = -15 + 20 - 372*z + 374*z - 9. Let w(t) be the third derivative of -t**4/12 - 2*t**2. Give n(w(f)).
-4*f - 4
Let s(t) = -2*t. Let v(r) be the first derivative of 2*r**3/3 + 7*r**2/2 + 204*r - 2787. Determine s(v(b)).
-4*b**2 - 14*b - 408
Let d = 733 + -734. Let a(i) = -2. Let f(c) = 51*c**2 + 170. Let s(z) = d*f(z) - 85*a(z). Let l(h) = h. Give l(s(g)).
-51*g**2
Let j(g) = -6*g. Let y(k) = 20*k**2 + 3*k + 6. Let x(r) = r + 115*r**2 - 153*r**2 - 14 + 0*r - 6*r + 4. Let a(v) = -3*x(v) - 5*y(v). Determine j(a(z)).
-84*z**2
Let v be (-2)/(((-14)/(-4))/(-7)). Let i be (-22)/(-99) - v/18. Let s(a) = -20*a**2 + i + 3*a**2 + 0. Let g(z) = z. Give g(s(q)).
-17*q**2
Let o(s) = -156*s**2. Let p(t) = 71*t**2 - 49*t**2 - 21*t**2. What is p(o(r))?
24336*r**4
Let p = -5605 - -5605. Let d(i) be the first derivative of p*i + 1/2*i**2 + 4. Let a(q) = -32*q. Calculate d(a(v)).
-32*v
Let x(m) = -46191423*m**2. Let b(v) = -6*v. Give x(b(l)).
-1662891228*l**2
Let o(k) = -k**2. Let g(u) = 11685583*u. Give g(o(w)).
-11685583*w**2
Let n(a) = 19*a**2 - 40650*a. Let r(s) = 9*s**2. Give n(r(x)).
1539*x**4 - 365850*x**2
Let a(k) = -2*k**2. Let r(p) = 665*p - 160*p - 162*p + 53 - 162*p - 166*p. What is a(r(w))?
-450*w**2 - 3180*w - 5618
Suppose -4*c + 5*c + 559 = u, -2*c + 1134 = 2*u. Let s(i) = i**2 + 4*i**2 - 563*i + u*i. Let t(w) = 37*w**2. What is t(s(y))?
925*y**4
Let b(i) be the first derivative of 163*i**3/3 - 9934. Let x(o) = -2*o**2 - 8. What is x(b(f))?
-53138*f**4 - 8
Let u(i) = 5*i + 35. Let h be u(-6). Let l(r) = 324*r + 96. Let a(b) = -34*b - 10. Let f(y) = h*l(y) + 48*a(y). Let c(g) = 7*g**2. Calculate c(f(m)).
1008*m**2
Let d(v) = -22*v. Let x(g) = 659647*g - 2. What is x(d(k))?
-14512234*k - 2
Let t(o) = o - 413. Let b(g) = 13936*g**2. Calculate t(b(s)).
13936*s**2 - 413
Let d(c) = c**3 - 42*c**2 + 154*c - 8. Let a be d(4). Let p(n) be the first derivative of 2/3*n**3 + a*n - 13 + 0*n**2. Let b(j) = 8*j. Give b(p(g)).
16*g**2
Let n(b) = 1019*b + 1016*b - 2031*b. Let z(u) = u**2 + 204*u. Give z(n(v)).
16*v**2 + 816*v
Let r(n) = -4*n**2. Let f(p) be the second derivative of -p**4/12 + 216*p**2 + 5*p - 221. What is f(r(h))?
-16*h**4 + 432
Let f(l) = -3*l - 3. Let n(a) = -6*a - 5. Let m(z) = 5*f(z) - 3*n(z). Let y = -34 - -51. Let d(o) = -y*o + 40*o - 19*o. Calculate m(d(u)).
12*u
Let y(n) = -3 + 0*n + 8 + 5*n + n**2. Let d(r) = 3*r**2 + 18*r + 18. Let h(f) = -5*d(f) + 18*y(f). Let x(v) = 17*v + 20*v - 11*v + 2*v - 12*v. What is h(x(z))?
768*z**2
Suppose 20*p - 429 = 91. Let n(d) = 105*d + p - 51*d - 52*d. Let k(z) = z. Give n(k(c)).
2*c + 26
Let l(d) = -6*d + 10*d + 25*d. Let s(q) be the second derivative of -5*q**4/12 + 29*q - 146. Calculate s(l(p)).
-4205*p**2
Let q(a) = 4*a. Let r be (-63)/(-5) + 102/255. Let j(p) = 3*p
|
{
"pile_set_name": "DM Mathematics"
}
|
st the prime factors of a(-2).
29
Let m(w) = -51*w + 30. Let s be m(-7). Suppose 3*n - 395 = -4*h, -4*h + 5*n = -0*h - s. What are the prime factors of h?
2, 7
Suppose 176 = -3*n + 2*i, -3*n - 3*i - 164 = -2*i. Let b = n - -16. Let t = -21 - b. What are the prime factors of t?
19
Suppose -208*k + 3914 = -207*k. What are the prime factors of k?
2, 19, 103
What are the prime factors of (-7 - 37/(-7))/((-4)/1554)?
2, 3, 37
Let g = 205 + -190. Let a be 1 + -3 - (-18 + 2). Suppose x + g = 2*s, 4*s - 11 - a = x. What are the prime factors of s?
5
Suppose 0*j = -4*j + 4*r - 8, 3*j = -4*r + 22. Let i = 6 - j. Suppose -3*f - 5*n = -30, -2*n = i*f - 7*n - 75. List the prime factors of f.
3, 5
Suppose -16 = 2*o - 4*g, -2*g = -3*o - g + 1. Suppose o*s = 459 - 179. List the prime factors of s.
2, 5, 7
Let t = -157 + 316. List the prime factors of t.
3, 53
Let d = -16 + 16. Suppose -6 = -2*y - d*a - a, -3*y + 22 = -5*a. Suppose 4*o = -4, 5*n - 5*o - 29 = -y. What are the prime factors of n?
2
Let c(f) = f**3 - 13*f**2 - 16*f + 30. Suppose 0 = z - 1 + 3, -3*z + 54 = 4*t. What are the prime factors of c(t)?
2, 3, 5
Let k(m) be the third derivative of -m**6/360 + m**5/20 - m**4/12 + 2*m**2. Let d(u) be the second derivative of k(u). What are the prime factors of d(-8)?
2, 11
Let w(b) = -b**2 - 14*b + 13. Let x be w(-12). Let k = x - -52. List the prime factors of k.
89
Suppose 5*l = 241 + 314. List the prime factors of l.
3, 37
Suppose 20 = 3*m - 5*d - 21, -5*d - 17 = -m. Let z(q) = q - 6. Let j be z(m). Suppose 0 = -3*f + j*h - h + 30, 2*h = -f + 10. What are the prime factors of f?
2, 5
Let l(v) = -v**2 - 5*v + 16. Let x be l(-7). Suppose 0 = -2*b - 5*i - x - 0, 0 = -4*i - 8. List the prime factors of ((-6)/b)/((-21)/532).
2, 19
Let k(n) = -4*n**2 + n - 1. Let a be k(-2). Let h = a + 38. Suppose 17 = 3*d - h. List the prime factors of d.
2, 3
Suppose 16226 - 43749 = -17*i. What are the prime factors of i?
1619
Let r(i) = i**2 - 10*i + 10. Let t be r(11). Let v = 23 - t. Suppose -j + v = -12. List the prime factors of j.
2, 7
Let z be (4 - -4) + 2 + -1. Suppose 0*q - z = -q + h, -4*h + 12 = 4*q. Let x = q - 3. List the prime factors of x.
3
Let l be 16/(-72) - 519/(-27). Suppose -4*j + l = -37. Let y(x) = x**3 - 15*x**2 + 17*x + 1. What are the prime factors of y(j)?
43
Suppose 0 = -8*x + 4*x. What are the prime factors of 17*((x - -3) + -2)?
17
Let y(p) = 2*p**2 + 16*p - 188. List the prime factors of y(-31).
2, 619
Let h be (-104)/(-12) + 2/(-3). Suppose 2*w + h + 2 = 0. What are the prime factors of (-2)/w - (-412)/20?
3, 7
Suppose -5*p + 5380 = -295. What are the prime factors of p?
5, 227
Let p(v) = v - 2. Let s be p(-22). List the prime factors of (12/s)/((-2)/180).
3, 5
Let j be -1*(-11)/((-55)/270). List the prime factors of (-24 - -23)*(j/1 + 0).
2, 3
Suppose -1153 = -w + 2*a, a - 4*a = -w + 1156. What are the prime factors of w?
31, 37
List the prime factors of (-82)/3*27/(-2).
3, 41
Let t(q) = 50*q**2 - 3*q - 40. What are the prime factors of t(-4)?
2, 193
Suppose 2*f - 174 = 5*o, f = -o + 5*o + 84. List the prime factors of (-21)/(-6)*f/2.
7, 23
Suppose -11*b - 567 = -2*b. Let v = b + 65. List the prime factors of v.
2
Let h(m) be the first derivative of -m**3/3 + 8*m**2 + 11*m + 7. What are the prime factors of h(13)?
2, 5
Let h = 0 - -4. Suppose h*u - 81 = -3*x, -3*x + 0*u + 84 = 5*u. Suppose 0*d = -d + x. List the prime factors of d.
23
Suppose 3*j - 6*j - 5*t + 947 = 0, 1568 = 5*j - 2*t. List the prime factors of j.
2, 157
Let a(l) = 337*l - 143. What are the prime factors of a(12)?
47, 83
Suppose -2090 + 314 = -4*m. List the prime factors of m.
2, 3, 37
Suppose 0 = 2*y + 4*y - 54. Suppose y*s - 4*s + 4*w = 187, -s - 4*w + 47 = 0. List the prime factors of 46/7 + 15/s.
7
Let h = -2114 - -4184. Suppose -h = -4*g - 5*g. List the prime factors of g.
2, 5, 23
List the prime factors of (-11769)/(-7) - 3/63*6.
41
Let z = 305 - 106. List the prime factors of z.
199
Let y(m) = -2*m - 1. Let d be y(-3). Suppose 0*g - 10 = -d*g. Suppose x = 2*w - 57, -5*w = -2*w + g*x - 68. What are the prime factors of w?
2, 13
Let z be (-2)/7 + (-12)/(-42). Let q be -10*(2 + (-5)/2). Suppose 0 = 3*o - z*o + 4*t - 60, -2*t = q*o - 86. What are the prime factors of o?
2
Suppose -2*i = 2*w - 492, -7*i + 8*i - 246 = 4*w. List the prime factors of i.
2, 3, 41
Let m(f) = f - 1. Let c(d) = -20*d - 6. Let k(l) = c(l) - 5*m(l). List the prime factors of k(-3).
2, 37
Suppose 4*g = -5*d + 2959, 4*d + 299 - 2517 = -3*g. What are the prime factors of g?
2, 373
Let n = -745 - -1298. What are the prime factors of n?
7, 79
Let o be 9 + 3/(-1) + -3. Suppose -j + 5*j = -2*t + 16, 1 = o*j - 4*t. Suppose j*n - 111 = -0*n. List the prime factors of n.
37
Let p = 251 - 94. List the prime factors of p.
157
Suppose -11 = -h + 21. Let l be h/(-6) - 2/3. What are the prime factors of (-2)/6 + (-122)/l?
2, 5
Let j(f) = 23*f**2 + 1. Suppose 0 = -q + 5*g + 27, -3*g - 2*g = -2*q + 29. Suppose 2*a + 4*o + 18 = 0, 0 = q*a - 4*o + o - 17. List the prime factors of j(a).
2, 3
Let y = 5 - 0. Suppose 3*p - 4*p + 13 = -2*r, y = -r. What are the prime factors of (p - 1) + 36 - -3?
41
Suppose -121*x = -131*x + 25430. What are the prime factors of x?
2543
Suppose 11*l - 4186 = -3*l. List the prime factors of l.
13, 23
Suppose 2*z - 376 = -3*p, p + 506 = 5*p - 2*z. What are the prime factors of p?
2, 3, 7
Suppose p - 254 = -30. Let z = p + -93. What are the prime factors of z?
131
Let z(o) = -o**2 - 19*o + 20. Let p be z(-20). Suppose 2*g + m + 0*m - 177 = p, 0 = 2*g - 2*m - 192. What are the prime factors of g?
7, 13
Let w = -4536 + 8021. List the prime factors of w.
5, 17, 41
Let m = 4 + -13. Let l = 27 + -15. Let y = l + m. List the prime factors of y.
3
Let y(f) = -3*f - f - f - 18 - 5*f. Let i be y(-8). Suppose -44 = -4*s + 3*s + 4*r, -s = 5*r - i. List the prime factors of s.
2, 13
Suppose 3*v + 84 = v + 4*t, 0 = -3*t + 9. List the prime factors of (-2220)/v - 2/(-6).
2, 31
Let r = -280 + 349. What are the prime factors of r?
3, 23
Suppose -11*p = -21*p + 40. Suppose p*v = l + 390, -3*v - 4*l = -0*l - 283. List the prime factors of v.
97
Let k be 6/51 + (-87)/17. Let d(w) = -14*w + 31. What are the prime factors of d(k)?
101
List the prime factors of ((-75435)/(-846))/((-2)/(-24)).
2, 5, 107
Suppose o + 4*p - 1 = -25, -3*o + 5*p = 55. List the prime factors of (-170)/o - (-2)/(-4).
2
Let s(v) = v + 4. Let z be s(-7). List the prime factors of (-3 - 21/z) + 108.
2, 7
Suppose 2*c - 1997 = -5*k, -9*c + 10*c = 2*k + 976. What are the prime factors of c?
2, 17, 29
Suppose -4*h + 20912 = 4*g, -4*h = -g + 6*g - 20913. What are the prime factors of h?
5227
Suppose -306 = -193*n + 191*n. What are the prime factors of n?
3, 17
Let w(c) = 2*c**2 + 4*c - 16. Let d be 10*(-1 + (-5)/(-25)). What are the prime factors of w(d)?
2, 5
Suppose -26*c = 7*c - 68739. What are the prime factors of c?
2083
Suppose -6*b = -2*b + 192. Let o be (-3)/(-5) + b/(-20). Suppose 4*y - 20 = o*y. List the prime factors of y.
2, 5
Let k(n) = -n**3 + 18*n**2 - 16*n - 14. Let b be k(17). Suppose 2*j = 2*l - 156 + 22, 0 = -l + b*j + 67. What are the prime factors of l?
67
Let w be -4 - (5 + -2) - 2. Let p be (w + 2 + -4)*1. Let h = 13 + p. What are the prime factors of h?
2
Let k(u) = 25 - 12 - 8 + 9*u. List the prime factors of k(11).
2, 13
Suppose -26 = -4*z - 6. Suppose z*n - 11 - 564 = 0. List the prime factors of n.
5, 23
Let n(x) = -x**2 - 7*x + 5. Let v be n(-7). Suppose -5*z + 75 = -v*b, 0 = 2*z + 2*z + 2*b - 30. What are the prime factors of z?
2, 5
Let i(j) = j**2 - 6*j + 5. Let k be i(8). Let t = -13 + k. What are the prime factors of (-7 + 4)*t/(-3)?
2
Suppose -5*v + 10*v - 55 = 0. Suppose 6*k + 110 = v*k. List the prime factors of k.
2, 11
Suppose -25*u = -20*u + 70. Let z = u + 20. Suppose -j = -z*j + 260. List the prime factors of j.
2, 13
Suppose 3*t = -3*x - 960, -4*x = x + 10. Let m = -54 - t. What are the prime factors of m?
2, 3, 11
Let o be 1/(-2)*(-3 - 41). Suppose o = i - 0. Suppose 2*h = 2*y + i, -43 = -3*h - h + 5*y. What are the prime factors of h?
2, 3
Let n = 30 - 24. Suppose n*p = 5*p + 3. Suppose -p*z = -4*z + 34. List the prime factors of z.
2, 17
Let y be ((-24)/(-16))/(((-2)/(-4))/1). List the prime fac
|
{
"pile_set_name": "DM Mathematics"
}
|
ing 1 x and 1 h.
4/45
What is prob of picking 3 q when three letters picked without replacement from {q: 10}?
1
Four letters picked without replacement from {j: 2, i: 1, u: 2, r: 3, a: 3, z: 3}. What is prob of picking 1 z, 2 r, and 1 u?
18/1001
Calculate prob of picking 1 s and 1 y when two letters picked without replacement from pysysysss.
5/12
What is prob of picking 1 o and 1 e when two letters picked without replacement from ikooiioooe?
1/9
What is prob of picking 1 y and 1 k when two letters picked without replacement from kkrkrykks?
5/36
Calculate prob of picking 1 o and 1 y when two letters picked without replacement from yoyyyyyyoyoyxxyyyyyy.
9/38
Two letters picked without replacement from {h: 2, l: 6}. Give prob of picking 2 h.
1/28
Four letters picked without replacement from hcajchchcav. Give prob of picking 1 j, 1 c, 1 v, and 1 a.
4/165
Calculate prob of picking 1 w and 1 j when two letters picked without replacement from ujucucccucwcuuuuc.
1/136
Two letters picked without replacement from nnnyybyn. What is prob of picking 2 n?
3/14
Calculate prob of picking 1 l and 2 g when three letters picked without replacement from lglllgglllgg.
7/22
What is prob of picking 2 h and 2 w when four letters picked without replacement from {h: 4, w: 7}?
21/55
Four letters picked without replacement from {s: 5, p: 6, r: 1, c: 4}. What is prob of picking 1 r, 2 c, and 1 p?
9/455
Three letters picked without replacement from zzzzz. Give prob of picking 3 z.
1
Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {s: 1, m: 1, r: 1}.
1/3
Two letters picked without replacement from jjt. Give prob of picking 1 j and 1 t.
2/3
Calculate prob of picking 2 r, 1 i, and 1 l when four letters picked without replacement from {k: 1, r: 2, q: 1, o: 3, l: 3, i: 1}.
1/110
Three letters picked without replacement from rcgclbc. Give prob of picking 1 b, 1 r, and 1 g.
1/35
Three letters picked without replacement from yyzyyzyzzzyz. Give prob of picking 3 z.
1/11
Four letters picked without replacement from smesmsmmmmssss. What is prob of picking 1 s, 2 m, and 1 e?
15/143
Calculate prob of picking 2 o and 2 c when four letters picked without replacement from {c: 3, o: 8}.
14/55
Three letters picked without replacement from {w: 3, r: 5, k: 9, v: 1}. Give prob of picking 2 r and 1 v.
5/408
Three letters picked without replacement from {c: 3, z: 2}. What is prob of picking 2 c and 1 z?
3/5
Calculate prob of picking 3 c when three letters picked without replacement from cbbbbccbccbbbbbcbbb.
20/969
Two letters picked without replacement from {c: 5, l: 6, z: 4}. What is prob of picking 1 l and 1 c?
2/7
Two letters picked without replacement from ffwffwfwfffffwwffwf. What is prob of picking 2 f?
26/57
What is prob of picking 2 r and 1 l when three letters picked without replacement from {a: 2, r: 5, l: 3}?
1/4
Three letters picked without replacement from {h: 5, u: 8, y: 2}. Give prob of picking 2 y and 1 h.
1/91
Three letters picked without replacement from vscfsfccfs. What is prob of picking 1 v, 1 f, and 1 s?
3/40
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {p: 6, c: 1, h: 1, z: 3, l: 6}.
3/68
Three letters picked without replacement from {l: 1, p: 1, f: 1, i: 1, z: 1}. What is prob of picking 1 z, 1 i, and 1 f?
1/10
Four letters picked without replacement from cccbcbbbccccccbcbc. What is prob of picking 4 c?
11/68
Two letters picked without replacement from {k: 4, v: 2, e: 3, f: 1}. What is prob of picking 2 v?
1/45
What is prob of picking 1 k, 1 z, and 1 c when three letters picked without replacement from zdydkoddydykyyydco?
1/408
Four letters picked without replacement from clvlcclllllclvx. What is prob of picking 3 l and 1 v?
16/195
Four letters picked without replacement from nvccnnnnanvaaj. Give prob of picking 1 n, 1 a, 1 v, and 1 c.
72/1001
Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {l: 1, j: 7}.
1/4
Calculate prob of picking 1 j and 1 q when two letters picked without replacement from qgjq.
1/3
Four letters picked without replacement from zzzzzllzzzzzzzlzzzlz. Give prob of picking 1 l and 3 z.
448/969
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {y: 2, o: 1, f: 1, t: 1}.
1/10
Three letters picked without replacement from {l: 13, k: 6}. Give prob of picking 2 k and 1 l.
65/323
Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkkkk.
1
Three letters picked without replacement from jzozoozojoozjojzooz. Give prob of picking 2 j and 1 z.
12/323
Two letters picked without replacement from ssssss. What is prob of picking 2 s?
1
Three letters picked without replacement from {p: 4}. What is prob of picking 3 p?
1
Calculate prob of picking 1 p, 1 n, and 1 e when three letters picked without replacement from {e: 5, m: 3, t: 1, p: 1, n: 5, z: 3}.
25/816
Three letters picked without replacement from {l: 5, p: 1, w: 2, g: 1, k: 3}. What is prob of picking 2 k and 1 g?
3/220
Calculate prob of picking 2 n and 2 y when four letters picked without replacement from {n: 7, y: 3}.
3/10
Four letters picked without replacement from gxqfofqoaoqqox. Give prob of picking 1 g, 1 o, and 2 x.
4/1001
Three letters picked without replacement from {g: 3, s: 1, o: 5, f: 3, m: 1}. What is prob of picking 3 o?
5/143
What is prob of picking 3 f when three letters picked without replacement from {e: 4, f: 10}?
30/91
What is prob of picking 1 p and 1 m when two letters picked without replacement from {p: 1, m: 1, b: 1, o: 6, f: 1, h: 3}?
1/78
Three letters picked without replacement from {h: 4, m: 2}. What is prob of picking 1 m and 2 h?
3/5
What is prob of picking 1 y and 1 j when two letters picked without replacement from cccjjcyyc?
1/9
What is prob of picking 1 z and 1 a when two letters picked without replacement from {z: 2, p: 1, d: 1, g: 2, a: 1, j: 1}?
1/14
Three letters picked without replacement from vnninviv. What is prob of picking 3 v?
1/56
Two letters picked without replacement from {t: 1, y: 1, n: 3, u: 3, v: 2, h: 1}. Give prob of picking 1 h and 1 v.
2/55
Three letters picked without replacement from rbdbbdrrbbcrrhrr. What is prob of picking 1 h and 2 r?
3/80
What is prob of picking 1 s, 1 z, and 2 p when four letters picked without replacement from sprrzrsspssprrrrrr?
1/204
Two letters picked without replacement from {k: 3, l: 3}. What is prob of picking 2 k?
1/5
What is prob of picking 1 x, 1 e, and 1 r when three letters picked without replacement from {r: 6, x: 4, e: 9}?
72/323
Two letters picked without replacement from {x: 3, n: 2, g: 4}. Give prob of picking 1 n and 1 g.
2/9
What is prob of picking 1 m and 3 s when four letters picked without replacement from ssmmsmsyssyms?
28/143
Two letters picked without replacement from xaxaaax. What is prob of picking 2 a?
2/7
What is prob of picking 1 o and 2 i when three letters picked without replacement from {d: 4, m: 2, i: 2, o: 7, a: 1}?
1/80
Calculate prob of picking 2 r when two letters picked without replacement from mrmrrrrwmriirumiw.
21/136
What is prob of picking 1 n, 1 j, and 2 b when four letters picked without replacement from {n: 4, j: 2, b: 3, z: 5, w: 5}?
2/323
Four letters picked without replacement from {z: 3, b: 2}. Give prob of picking 3 z and 1 b.
2/5
Three letters picked without replacement from {e: 5, f: 7, b: 2}. What is prob of picking 2 f and 1 b?
3/26
Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {c: 6, j: 2}.
15/28
What is prob of picking 2 d when two letters picked without replacement from {d: 6}?
1
Four letters picked without replacement from cccdscndcbcncdccbcd. Give prob of picking 4 c.
35/646
Three letters picked without replacement from lxkbblllwklkl. What is prob of picking 2 l and 1 w?
15/286
Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {u: 7, k: 2, h: 1}.
7/120
Two letters picked without replacement from cqsqqsccqzqqjrcrrrrq. What is prob of picking 1 c and 1 j?
2/95
Calculate prob of picking 2 u and 1 o when three letters picked without replacement from uouuuouo.
15/28
Two letters picked without replacement from jj
|
{
"pile_set_name": "DM Mathematics"
}
|
zaqzeq. What is prob of sequence zqa?
1/30
What is prob of sequence vv when two letters picked without replacement from vvvjvvjvjvjvjvvvjvv?
26/57
Four letters picked without replacement from iiggi. What is prob of sequence giig?
1/10
What is prob of sequence qzqx when four letters picked without replacement from xqqweozewxwxq?
3/2860
Calculate prob of sequence hj when two letters picked without replacement from aujhha.
1/15
What is prob of sequence mvm when three letters picked without replacement from zpmmzmppmzvvpz?
1/91
Calculate prob of sequence looo when four letters picked without replacement from {l: 2, o: 4}.
2/15
Three letters picked without replacement from ytstzdoozyyszt. Give prob of sequence dyy.
1/364
Three letters picked without replacement from vmeevvvevvmem. Give prob of sequence mmm.
1/286
Two letters picked without replacement from {s: 1, z: 2, c: 2, h: 1, o: 1, b: 1}. Give prob of sequence hb.
1/56
Two letters picked without replacement from {c: 2, e: 3}. What is prob of sequence ee?
3/10
Calculate prob of sequence cuui when four letters picked without replacement from {c: 1, i: 2, w: 3, u: 6}.
1/198
Two letters picked without replacement from {a: 3, j: 2, w: 3, l: 1, n: 1, d: 2}. What is prob of sequence an?
1/44
Two letters picked without replacement from eeiiiiieeiiieeeeeie. What is prob of sequence ie?
5/19
Two letters picked without replacement from jjjjjjjhjjjjj. Give prob of sequence jj.
11/13
Calculate prob of sequence zzk when three letters picked without replacement from zuykkkzk.
1/42
Calculate prob of sequence xi when two letters picked without replacement from {s: 3, x: 6, e: 2, i: 1}.
1/22
Four letters picked without replacement from sshshhhzhhzzzskzs. What is prob of sequence hkzh?
5/1904
Three letters picked without replacement from pwnrwwwpwrinwnr. Give prob of sequence rrr.
1/455
Calculate prob of sequence hhc when three letters picked without replacement from hccccchhhcchhhhh.
3/20
Three letters picked without replacement from {p: 2, e: 4, d: 2, r: 1}. Give prob of sequence rpe.
1/63
What is prob of sequence iyw when three letters picked without replacement from wyyiyyiwi?
1/21
Three letters picked without replacement from {w: 1, e: 4, c: 5, o: 5, r: 3}. What is prob of sequence orc?
25/1632
Two letters picked without replacement from hlllbllhll. What is prob of sequence bh?
1/45
Calculate prob of sequence jlj when three letters picked without replacement from {l: 2, p: 2, m: 4, x: 2, j: 3}.
1/143
What is prob of sequence wwc when three letters picked without replacement from {c: 9, w: 2}?
1/55
Three letters picked without replacement from {m: 1, o: 2, w: 2, e: 6}. Give prob of sequence weo.
4/165
Three letters picked without replacement from dzoobbodcb. What is prob of sequence bdc?
1/120
What is prob of sequence ss when two letters picked without replacement from tsqxxwes?
1/28
Two letters picked without replacement from {t: 7, b: 4, w: 3, q: 4, k: 1}. Give prob of sequence qq.
2/57
Four letters picked without replacement from {g: 3, p: 11}. Give prob of sequence ggpp.
5/182
Three letters picked without replacement from {a: 3, w: 7}. Give prob of sequence wwa.
7/40
Calculate prob of sequence oopo when four letters picked without replacement from {f: 2, o: 4, p: 1}.
1/35
Two letters picked without replacement from ldiiddiliddiilh. What is prob of sequence dh?
1/42
What is prob of sequence uaa when three letters picked without replacement from {w: 4, u: 7, a: 3}?
1/52
What is prob of sequence nj when two letters picked without replacement from {j: 5, n: 7}?
35/132
What is prob of sequence qqq when three letters picked without replacement from {q: 13, d: 5}?
143/408
Four letters picked without replacement from {t: 4, i: 2, b: 1, v: 1, c: 2, e: 4}. What is prob of sequence cetb?
4/3003
What is prob of sequence bwwt when four letters picked without replacement from {q: 6, t: 5, v: 1, w: 4, b: 3, a: 1}?
1/646
Four letters picked without replacement from gzhhzzkggxd. Give prob of sequence zgxh.
1/440
What is prob of sequence vyh when three letters picked without replacement from hvhzzzvzvhyzh?
1/143
Three letters picked without replacement from {u: 6}. Give prob of sequence uuu.
1
What is prob of sequence llq when three letters picked without replacement from {l: 11, q: 3}?
55/364
Three letters picked without replacement from zlllzzzzzzlzl. What is prob of sequence lll?
5/143
Calculate prob of sequence atra when four letters picked without replacement from aatcattaracaaaacac.
1/272
Four letters picked without replacement from opopfbpfbppbrpo. Give prob of sequence ffpb.
1/910
What is prob of sequence kttk when four letters picked without replacement from {g: 2, t: 4, h: 6, z: 2, k: 2, i: 1}?
1/2380
What is prob of sequence stab when four letters picked without replacement from abasatzttrzttz?
5/8008
Calculate prob of sequence xhu when three letters picked without replacement from uiuwhxx.
2/105
What is prob of sequence sp when two letters picked without replacement from {p: 3, s: 1, e: 1}?
3/20
Calculate prob of sequence ooo when three letters picked without replacement from ooooooooooeaoeoaao.
143/408
Calculate prob of sequence lpp when three letters picked without replacement from {p: 2, q: 2, l: 6, s: 1}.
2/165
Three letters picked without replacement from wjwd. Give prob of sequence djw.
1/12
What is prob of sequence xqrr when four letters picked without replacement from qddqrx?
0
What is prob of sequence pptu when four letters picked without replacement from {t: 7, u: 4, p: 2}?
7/2145
Calculate prob of sequence hh when two letters picked without replacement from jjjjhjh.
1/21
Three letters picked without replacement from {f: 13, c: 5}. What is prob of sequence ffc?
65/408
What is prob of sequence oqx when three letters picked without replacement from qxkkoji?
1/210
Four letters picked without replacement from pppnnppppnnppptt. What is prob of sequence pnpn?
9/364
Calculate prob of sequence tttw when four letters picked without replacement from {w: 3, u: 4, t: 3, n: 1}.
1/440
Calculate prob of sequence yyyy when four letters picked without replacement from {y: 13, q: 6}.
715/3876
Three letters picked without replacement from pzeteetpetpyt. What is prob of sequence zpy?
1/572
Four letters picked without replacement from ljyklltotoyo. Give prob of sequence okol.
1/660
Calculate prob of sequence xj when two letters picked without replacement from xggggkggxxjk.
1/44
Two letters picked without replacement from zzgzkqsgzzqzzl. Give prob of sequence qs.
1/91
What is prob of sequence arw when three letters picked without replacement from rrwwrwaraakkwwwwwwwr?
5/228
Four letters picked without replacement from {h: 3, v: 1, t: 3}. What is prob of sequence hhtt?
3/70
What is prob of sequence nn when two letters picked without replacement from {n: 7, f: 5}?
7/22
What is prob of sequence vvv when three letters picked without replacement from {h: 2, d: 2, s: 3, o: 3, v: 3}?
1/286
What is prob of sequence kk when two letters picked without replacement from uvdduvkddukkkkddd?
5/68
Calculate prob of sequence tm when two letters picked without replacement from {k: 9, t: 2, j: 3, m: 5}.
5/171
Two letters picked without replacement from kpkkpp. What is prob of sequence kk?
1/5
What is prob of sequence ff when two letters picked without replacement from ffxfxxx?
1/7
Calculate prob of sequence cm when two letters picked without replacement from {m: 4, v: 3, e: 1, c: 2, n: 2, i: 8}.
2/95
Three letters picked without replacement from {u: 3, e: 17}. What is prob of sequence euu?
17/1140
Three letters picked without replacement from {m: 2, t: 1, x: 2, w: 1, g: 7, d: 4}. Give prob of sequence gtw.
7/4080
What is prob of sequence sb when two letters picked without replacement from bbsbs?
3/10
Four letters picked without replacement from {d: 4}. Give prob of sequence dddd.
1
Two letters picked without replacement from {g: 3, o: 1, u: 3, m: 1, i: 2, t: 1}. What is prob of sequence tu?
3/110
Two letters picked without replacement from {i: 1, b: 5, p: 2, r: 2, w: 6}. Give prob of sequence wp.
1/20
What is prob of sequence msq when three letters picked without replacement from smrsqusrusnr?
1/330
Two letters picked without replacem
|
{
"pile_set_name": "DM Mathematics"
}
|
l rounded to six decimal places?
0.000006
Let w = 17599 - 17579.0025. Let z = w - 20. What is z rounded to three decimal places?
-0.003
Let r = -0.761 - -0.8527. Round r to two dps.
0.09
Suppose -k = 3*k. Suppose -5*t - 8600005 = -2*q, -4*t + 17199996 = 4*q - k*t. What is q rounded to the nearest one million?
4000000
Let l be (6539 - -1)*(-105)/(-70). What is l rounded to the nearest 1000?
10000
Let p = 94.9999875 + -95. What is p rounded to five dps?
-0.00001
Suppose 19517798 = -3*s + r - 6072204, -2*r = 5*s + 42649996. Round s to the nearest one million.
-9000000
Let q = 1 - -7. Let g(d) = 0 + 3 + 15*d + 1 - 2. Let j be g(q). Round j to the nearest ten.
120
Suppose -4*u = -2*u - 7*u. Suppose -5*r = -5*l - 505, 126 + 81 = 2*r - 3*l. Suppose 5*h - h + r = u. What is h rounded to the nearest 10?
-20
Let h = -0.05 + 0.04. Let j = h - -0.00912. What is j rounded to four decimal places?
-0.0009
Suppose -3505 = 11*o - 21556. What is o rounded to the nearest 100?
1600
Let f = -0.02 - -0.17. Let n = f - 1.95. Let k = n - -1.800036. Round k to 5 decimal places.
0.00004
Let x(c) = -c**2 + 13541614. Let h be x(0). Let u(a) = a**2 - 11*a - 10. Let f be u(12). Suppose -f*o - h = 658386. Round o to the nearest one million.
-7000000
Let b = -3237 + 3231.235. What is b rounded to 1 decimal place?
-5.8
Let w = 16 + -31. Let d = 16.1 + w. Let g = d - 1.099933. What is g rounded to 5 dps?
0.00007
Let g = 220 - 219.8711. Let a = -0.13 + g. Round a to 3 dps.
-0.001
Let g = -1160097 - -532097. Round g to the nearest ten thousand.
-630000
Let u = -89.576763 + 75.57676378. Let j = u + 14. What is j rounded to seven dps?
0.0000008
Let r(j) = -19441*j**3 + 4*j**2 - 4*j + 45. Let l be r(5). Round l to the nearest one million.
-2000000
Let a = -2018 - -1996.87. Let s = 21 + a. Let y = s - 0.07. What is y rounded to the nearest integer?
0
Let y = -1537.90796 + 1538. Round y to 2 dps.
0.09
Let q = -1101763 + 2751763. Suppose 3*b = -0*b + q. Round b to the nearest one hundred thousand.
600000
Suppose -4*k - 4*a = -0*k, a = 4*k + 5. Let n = -16 + 14. Let t be 86004/n + 3 + k. Round t to the nearest ten thousand.
-40000
Let t = 0.542 + -0.742. What is t rounded to the nearest ten?
0
Let i = 32.3 - 32.300181. What is i rounded to 4 decimal places?
-0.0002
Let j = -23891728 + 23891857.00051. Let y = j - 129. What is y rounded to 4 dps?
0.0005
Let m = -193 - -177.9. Let b = m - -15.100171. What is b rounded to five dps?
0.00017
Let w = 209223464 + -145823464. What is w rounded to the nearest one million?
63000000
Let n = -27.599999681 - -27.6. What is n rounded to 7 decimal places?
0.0000003
Let c be ((-3)/5 + 26/10)/2. Let u be (-27260)/(-141)*(c/1 - -1049). Round u to the nearest ten thousand.
200000
Let l = -0.04 - 0.62. Let b = 0.6599825 + l. What is b rounded to five decimal places?
-0.00002
Suppose 2*h - 21874594 = -3*m, -h - 17193328 = -3*m + 4681260. Let d = m - 10501530. Round d to the nearest 100000.
-3200000
Let d = 2 - 2. Suppose d = -4*a + 2634 + 1506. Suppose 2355 + a = 3*b. What is b rounded to the nearest one hundred?
1100
Let f = 0.253835978 - -10.868355722. Let q = f + -10.85219. Let c = -0.27 + q. What is c rounded to six decimal places?
0.000002
Suppose 26324 = 12*p - 32008. Suppose 0 = t + p + 15339. What is t rounded to the nearest one thousand?
-20000
Let y = -0.4793 - 0.0119. Round y to 1 dp.
-0.5
Let w = 2997400 - 2997246.00045. Let b = w - 154. Round b to three decimal places.
0
Suppose 2*v = j + 7884, -3*v - 6425 + 18256 = -4*j. What is v rounded to the nearest one hundred?
3900
Let n = -409.89665 - -410. Let a = 0.101 - n. Round a to four dps.
-0.0024
Let i = -5834689.80000043 + 5834689.1. Let t = i - -0.7. Round t to seven decimal places.
-0.0000004
Let i(z) = 151*z - 8. Let r be i(7). Let q = 5650 - r. Let y = q - -9199. Round y to the nearest 1000.
14000
Let q = -152.262 - -0.062. Round q to the nearest 10.
-150
Let p = 23623.007 + -23813.49226. Let t = p - 54.50204. Let i = 245 + t. Round i to 3 dps.
0.013
Let t be -1 + (3 - 13)*5. Let q be -1074*(-1 + 4 - t). Let v be (-4)/10 + q/10. Round v to the nearest 1000.
-6000
Suppose 4*l = -2*g - 326398, -5*l = 5*g - 2378 + 410373. What is l rounded to the nearest ten thousand?
-80000
Let y = -197 + 549. Let f = -349.33 + y. What is f rounded to the nearest integer?
3
Let u(l) = 505453*l + 34. Let r be u(22). Round r to the nearest 100000.
11100000
Suppose 14864500 = 39*b - 4*b. Round b to the nearest 100000.
400000
Let o = 59 + -205. Let b = o + 134.4. What is b rounded to 0 decimal places?
-12
Let u = 12.5 - -41.5. Let b = 53.9997 - u. What is b rounded to 4 dps?
-0.0003
Suppose 6 = n + n. Suppose -6*o + 2*o + 102296 = -n*p, -2*p - 2*o - 68202 = 0. What is p rounded to the nearest one thousand?
-34000
Let k = -0.492 - -0.5. Let d = k - -0.382. Let h = -0.5 + d. Round h to 1 decimal place.
-0.1
Let s = -25763020.00179 + 25762852. Let a = -168 - s. What is a rounded to 4 decimal places?
0.0018
Let i(h) = -7004*h + 40. Let k be (-27 - -28)/((-1)/(-10)). Let x be i(k). What is x rounded to the nearest 10000?
-70000
Let d = 1165689110.99999788 + -1165689132. Let s = d - -21. What is s rounded to seven decimal places?
-0.0000021
Let s = 68.4 + -12.4. Let u = s - 55.9958. Round u to three dps.
0.004
Let c = 7 - 4. Suppose i + 3*r = 8788, -2*i + c*i = -5*r + 8780. Round i to the nearest one thousand.
9000
Suppose -3*l + 18191 = d, 2*l = -d - 3*d + 12144. Let n be -14*(-369 - 7/(14/(-4))). Suppose -2*i - n = l. Round i to the nearest one thousand.
-6000
Let s be (-4)/12*-3*2. Let c(f) = s + 464*f + 1701*f + 8. Let m be c(6). What is m rounded to the nearest 10000?
10000
Let d(n) = -20862651*n**2. Let w be d(-1). Let q = -41962651 - w. Round q to the nearest 1000000.
-21000000
Let u = -15 + -3. Let b = u - -25. Let t = -7.000009 + b. Round t to 6 decimal places.
-0.000009
Let g(s) = 982*s - 10. Let t be g(5). Round t to the nearest 10000.
0
Let a = 18 + 17. Suppose -5*k + 20 = -0, 0 = 5*p + 4*k - 2691. Let x = p - a. Round x to the nearest one thousand.
1000
Let i = 21067498 + -21067503.4999938. Let w = -5.5 - i. What is w rounded to 6 dps?
-0.000006
Suppose -5*b + 3*s + 7 = 0, 3*b + 3*s - 5 = 5*s. Let z be 5*(b + -3 + 700004). What is z rounded to the nearest 1000000?
4000000
Let c = 312 + -570. Let d = c + 258.907. Let q = -0.9 + d. Round q to 3 dps.
0.007
Let d be ((-8)/3)/(36/4050). Let y be d + (-4 - (-4 - 0)). Round y to the nearest one hundred.
-300
Let v = -3076.261 + 3078. Round v to 1 decimal place.
1.7
Let l be 38/(-6) + 10/(-15). Let r = -3 - l. Suppose -60 = -r*b - 12. Round b to the nearest 10.
10
Let n = 102722236186 - 102722236141.000000179. Let c = n + -45. Round c to 7 dps.
-0.0000002
Let i = 27 - 72. Let p = 58 + i. What is p rounded to the nearest ten?
10
Let j = -21022 - 4036. Let r = 1058 + j. Round r to the nearest 10000.
-20000
Let x = 22 + -15. Let m = -5 + x. Suppose 4*u + 2*d + 2354 = 0, -2*u - 2*d - m*d = 1168. Round u to the nearest 100.
-600
Let i = 1653.99998298 + -1654. Round i to six dps.
-0.000017
Let h = 24 - 23.929. Let f = h + -0.0710196. Round f to 5 dps.
-0.00002
Let p = 11294 - 11207.43. What is p rounded to the nearest 10?
90
Let o = -25 + -4. Let f = o + 29. Let j = -0.000052 + f. What is j rounded to five dps?
-0.00005
Let a = 13 + -13.42. Let p = a + 0.4186. Round p to 3 decimal places.
-0.001
Let y(p) = 3 + 5743*p**2 - 1 + 2 - 2*p. Let b be y(3). Suppose -4*z - 8885 = -b. Round z to the nearest 1000.
11000
Let u(z) = 310*z**3 + z**2 + 19*z - 20. Let x be u(-20). What is x rounded to the nearest 100000?
-2500000
Suppose 5*w + 3750 = -3*u - 2*u, 5*w + 25 = 0. Let s = -365 - u. Round s to the nearest 100.
400
Suppose 0 = -0*s + 5*s - 5*f - 140710, 3*s + f = 84406. Let v = -7637 + s. What is v rounded to the nearest 1000?
21000
Let u(y) = -874*y**3 + 4*y**2 - 8. Suppose 5*t + 43 = 2*b - 3*b, 3*b - 6 = 0. Let s be u(t). Let g = s - 977462. Round g to the nearest one hundred thousand.
-300000
Let k = 26 + -18. Let q = 6 - k. Let j = q + 2.0012. Round j to 4 decimal places.
0.0012
Let q = 0.81 + -0.8100412. What is q rounded to 6 dps?
-0.000041
Let v be (-5 + 4 - -2) + 779997/3. What is v rounded to the nearest 100000?
300000
Let w be 1*-2 - -6*(3 - 0). Let s(n) = 210
|
{
"pile_set_name": "DM Mathematics"
}
|
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